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p03016 AtCoder Beginner Contest 129 - Takahashi's Basics in Education and Learning
There is an arithmetic progression with L terms: s_0, s_1, s_2, ... , s_{L-1}. The initial term is A, and the common difference is B. That is, s_i = A + B \times i holds. Consider the integer obtained by concatenating the terms written in base ten without leading zeros. For example, the sequence 3, 7, 11, 15, 19 would be concatenated into 37111519. What is the remainder when that integer is divided by M? Constraints * All values in input are integers. * 1 \leq L, A, B < 10^{18} * 2 \leq M \leq 10^9 * All terms in the arithmetic progression are less than 10^{18}. Input Input is given from Standard Input in the following format: L A B M Output Print the remainder when the integer obtained by concatenating the terms is divided by M. Examples Input 5 3 4 10007 Output 5563 Input 4 8 1 1000000 Output 891011 Input 107 10000000000007 1000000000000007 998244353 Output 39122908
[ { "input": { "stdin": "4 8 1 1000000" }, "output": { "stdout": "891011" } }, { "input": { "stdin": "107 10000000000007 1000000000000007 998244353" }, "output": { "stdout": "39122908" } }, { "input": { "stdin": "5 3 4 10007" }, "output": { "stdout": "5563" } }, { "input": { "stdin": "18 82424498357948 446040774000023 45942200" }, "output": { "stdout": "43536339\n" } }, { "input": { "stdin": "3 2700188746816 4942405386665 22560692" }, "output": { "stdout": "7082006\n" } }, { "input": { "stdin": "3 178774472995136 43000293650362 50765535" }, "output": { "stdout": "30997260\n" } }, { "input": { "stdin": "3 60410182850364 4211156822790 76624474" }, "output": { "stdout": "14700508\n" } }, { "input": { "stdin": "107 10000000000007 1000000000000007 498250141" }, "output": { "stdout": "152045046\n" } }, { "input": { "stdin": "1 6082488590097 1634888304420825 26385493" }, "output": { "stdout": "25587258\n" } }, { "input": { "stdin": "6 8 1 1000000" }, "output": { "stdout": "111213\n" } }, { "input": { "stdin": "2 10191123049417 1634888304420825 21689165" }, "output": { "stdout": "10886157\n" } }, { "input": { "stdin": "5 73226011014673 43000293650362 28807217" }, "output": { "stdout": "5847638\n" } }, { "input": { "stdin": "2 178774472995136 43000293650362 50765535" }, "output": { "stdout": "19629923\n" } }, { "input": { "stdin": "15 21284366351213 325138205152906 10521233" }, "output": { "stdout": "7314953\n" } }, { "input": { "stdin": "3 929905957955995 3676077407387 50765535" }, "output": { "stdout": "5285844\n" } }, { "input": { "stdin": "3 2700188746816 7711916121742 10331513" }, "output": { "stdout": "584443\n" } }, { "input": { "stdin": "2 17931594034535 1895354308808581 21689165" }, "output": { "stdout": "14596611\n" } }, { "input": { "stdin": "2 104467816667701 43000293650362 50765535" }, "output": { "stdout": "43954623\n" } }, { "input": { "stdin": "15 42030388707156 247667443425780 9413723" }, "output": { "stdout": "2385424\n" } }, { "input": { "stdin": "2 42030388707156 1895354308808581 10533009" }, "output": { "stdout": "3227626\n" } }, { "input": { "stdin": "15 65472025464171 43000293650362 28807217" }, "output": { "stdout": "11314216\n" } }, { "input": { "stdin": "15 42030388707156 321306038787033 9413723" }, "output": { "stdout": "5582980\n" } }, { "input": { "stdin": "15 42030388707156 116787053062981 9413723" }, "output": { "stdout": "5767899\n" } }, { "input": { "stdin": "3 690265662138052 5512045516869 50765535" }, "output": { "stdout": "12809100\n" } }, { "input": { "stdin": "18 39196322485191 446040774000023 21681646" }, "output": { "stdout": "6626390\n" } }, { "input": { "stdin": "15 137785601257163 34316611981321 18048470" }, "output": { "stdout": "15099937\n" } }, { "input": { "stdin": "15 65472025464171 43000293650362 23143760" }, "output": { "stdout": "17245399\n" } }, { "input": { "stdin": "15 21284366351213 247667443425780 8854374" }, "output": { "stdout": "3545109\n" } }, { "input": { "stdin": "15 137785601257163 530788445972764 18048470" }, "output": { "stdout": "14025439\n" } }, { "input": { "stdin": "3 929905957955995 7891263224991 50765535" }, "output": { "stdout": "22511487\n" } }, { "input": { "stdin": "15 137785601257163 566876542874435 45942200" }, "output": { "stdout": "12546253\n" } }, { "input": { "stdin": "15 39196322485191 325138205152906 10521233" }, "output": { "stdout": "7334990\n" } }, { "input": { "stdin": "3 25801315538808 7711916121742 10331513" }, "output": { "stdout": "8199910\n" } }, { "input": { "stdin": "3 2700188746816 13932814235789 10331513" }, "output": { "stdout": "2989487\n" } }, { "input": { "stdin": "3 57716816346744 7711916121742 10331513" }, "output": { "stdout": "5335619\n" } }, { "input": { "stdin": "3 178774472995136 58619326887305 50765535" }, "output": { "stdout": "2390331\n" } }, { "input": { "stdin": "2 24759683018459 1895354308808581 21689165" }, "output": { "stdout": "17435045\n" } }, { "input": { "stdin": "3 7 1 1001000" }, "output": { "stdout": "789\n" } }, { "input": { "stdin": "107 10000000000007 1000000000000007 1055093371" }, "output": { "stdout": "58425676\n" } }, { "input": { "stdin": "4 42030388707156 321306038787033 10533009" }, "output": { "stdout": "1719327\n" } }, { "input": { "stdin": "3 60410182850364 7711916121742 23520665" }, "output": { "stdout": "2531858\n" } }, { "input": { "stdin": "18 82424498357948 446040774000023 21681646" }, "output": { "stdout": "6366523\n" } }, { "input": { "stdin": "3 465436015703817 5512045516869 50765535" }, "output": { "stdout": "41404230\n" } }, { "input": { "stdin": "2 5 4 10007" }, "output": { "stdout": "59\n" } }, { "input": { "stdin": "15 17664785118816 1634888304420825 498250141" }, "output": { "stdout": "357291430\n" } }, { "input": { "stdin": "6 465436015703817 58619326887305 50765535" }, "output": { "stdout": "4571202\n" } }, { "input": { "stdin": "3 60410182850364 4211156822790 92332577" }, "output": { "stdout": "85665908\n" } }, { "input": { "stdin": "15 137785601257163 530788445972764 45942200" }, "output": { "stdout": "45482859\n" } }, { "input": { "stdin": "18 66574490110954 446040774000023 21681646" }, "output": { "stdout": "6278605\n" } }, { "input": { "stdin": "15 110947322712683 34316611981321 23143760" }, "output": { "stdout": "15083177\n" } } ]
{ "tags": [], "title": "p03016 AtCoder Beginner Contest 129 - Takahashi's Basics in Education and Learning" }
{ "cpp": "/*\n[abc129] F - Takahashi's Basics in Education and Learning\n*/\n\n#include <bits/stdc++.h>\nusing namespace std;\ntypedef long long int ll;\ntypedef pair<int, int> pii;\ntypedef pair<ll, int> pli;\ntypedef pair<ll, ll> pll;\n\nll L, A, B;\nint MOD;\n\nclass gf {\npublic:\n int n;\n gf() : n(0) {}\n gf(int n) : n(n % MOD) {}\n gf operator+(const gf x) const { return gf((n + x.n) % MOD); }\n gf operator*(const gf x) const { return gf((1LL * n * x.n) % MOD); }\n gf &operator+=(const gf x) { return *this = (*this + x); }\n gf &operator*=(const gf x) { return *this = (*this * x); }\n};\n\ntypedef gf Number;\ntypedef vector<Number> Array;\ntypedef vector<Array> Matrix;\n\nMatrix identity(int n) {\n Matrix A(n, Array(n));\n for (int i = 0; i < n; i++) {\n A[i][i] = 1;\n }\n return A;\n}\n\nArray mul(const Matrix &A, const Array &x) {\n Array y(A.size());\n for (int i = 0; i < (int)A.size(); i++) {\n for (int j = 0; j < (int)x.size(); j++) {\n y[i] += A[i][j] * x[j];\n }\n }\n return y;\n}\n\nMatrix mul(const Matrix &A, const Matrix &B) {\n Matrix C(A.size(), Array(B[0].size()));\n for (int i = 0; i < (int)C.size(); i++) {\n for (int j = 0; j < (int)C[i].size(); j++) {\n for (int k = 0; k < (int)A[i].size(); k++) {\n C[i][j] += A[i][k] * B[k][j];\n }\n }\n }\n return C;\n}\n\nMatrix pow(const Matrix &A, ll e) {\n Matrix AA = A;\n Matrix ans = identity(A.size());\n for (; e > 0; e >>= 1) {\n if (e & 1) {\n ans = mul(ans, AA);\n }\n AA = mul(AA, AA);\n }\n return ans;\n}\n\nconst Number eps = 1e-8;\nconst int D = 18;\nll c[D + 1];\n\nll solve() {\n for (ll d = 1, dec = 10; d <= D; d++, dec *= 10) {\n c[d] = min(L, max(dec - A + B - 1, 0LL) / B);\n }\n\n Array v = {0, (int)(A % (ll)MOD), 1};\n gf dec = 10;\n for (int d = 1; d <= D; d++) {\n Matrix A = {{dec, 1, 0}, {0, 1, (int)(B % (ll)MOD)}, {0, 0, 1}};\n v = mul(pow(A, c[d] - c[d - 1]), v);\n dec *= 10;\n }\n gf ans = v[0];\n\n return ans.n;\n}\n\nint main() {\n cin >> L >> A >> B >> MOD;\n\n cout << solve() << endl;\n\n return 0;\n}\n", "java": "import java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.ArrayList;\nimport java.util.Arrays;\nimport java.util.Collection;\nimport java.util.HashMap;\nimport java.util.HashSet;\nimport java.util.Map;\nimport java.util.NoSuchElementException;\nimport java.util.PrimitiveIterator;\nimport java.util.TreeSet;\nimport java.util.function.BinaryOperator;\nimport java.util.function.DoubleUnaryOperator;\nimport java.util.function.IntFunction;\nimport java.util.function.IntToLongFunction;\nimport java.util.function.IntUnaryOperator;\nimport java.util.function.LongBinaryOperator;\nimport java.util.function.LongPredicate;\nimport java.util.function.LongUnaryOperator;\n\n\npublic class Main {\n public static void main(String[] args) {\n StringBuilder out = new StringBuilder();\n solve(out);\n PrintWriter pw = new PrintWriter(System.out);\n pw.println(out);\n pw.flush();\n pw.close();\n }\n\n public static void solve(StringBuilder out) {\n long l = In.nl();\n long a = In.nl();\n long b = In.nl();\n long m = In.nl();\n \n long[] ld = new long[18];\n long[] rd = new long[18];\n long ten = 1;\n for (int d = 0; d < 18; d++) {\n ld[d] = bs(l, a, b, ten);\n rd[d] = bs(l, a, b, ten *= 10);\n }\n\n ModuloArithmetic ma = new ModuloArithmetic(m);\n ma.buildPower(10l, 18);\n LongSquareMatrixArithmetic lama = new LongSquareMatrixArithmetic(3, ma);\n LongSquareMatrix aa = lama.e1();\n for (int d = 0; d < 18; d++) {\n LongSquareMatrix mat = new LongSquareMatrix(new long[][]{{ma.pow(d + 1), b % m, a % m}, {0, 1, 1}, {0, 0, 1}});\n aa = lama.mul(lama.pow(mat, rd[d] - ld[d]), aa);\n }\n long ans = lama.mul(aa, new long[]{0, 0, 1})[0];\n out.append(ans);\n }\n\n public static long bs(long l, long a, long b, long val) {\n long lft = -1, rgt = l;\n while (rgt - lft > 1) {\n long mid = lft + ((rgt - lft) >> 1);\n if (a + b * mid < val) {\n lft = mid;\n } else {\n rgt = mid;\n }\n }\n return rgt;\n }\n}\n\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n * \n * (NON-DESTRUCTIVE) methods that returns long array.\n */\nclass LongArrayGenerator {\n\n private LongArrayGenerator(){}\n \n public static long[] filled(int n, long init) {\n long[] ret = new long[n];\n Arrays.fill(ret, init);\n return ret;\n }\n\n public static long[][] filled(int n, int m, long init) {\n long[][] ret = new long[n][m];\n for (int i = 0; i < n; i++) {\n Arrays.fill(ret[i], init);\n }\n return ret;\n }\n\n public static long[] indexToLong(int n, IntToLongFunction f) {\n long[] a = new long[n];\n Arrays.setAll(a, f);\n return a;\n }\n\n public static long[] toArray(Collection<? extends Number> collection) {\n int n = collection.size();\n long[] ret = new long[n];\n Object[] coll = collection.toArray();\n for (int i = 0; i < n; i++) {\n ret[i] = ((Number) coll[i]).longValue();\n }\n return ret;\n }\n\n public static long[] unique(long[] a) {\n HashSet<Long> set = new HashSet<>();\n for (long e : a) {\n set.add(e);\n }\n int m = set.size();\n long[] b = new long[m];\n int index = 0;\n for (int i = 0; i < a.length; i++) {\n if (set.contains(a[i])) {\n b[index++] = a[i];\n set.remove(a[i]);\n }\n }\n return b;\n }\n\n public static long[][] transpose(long[][] a) {\n int n = a.length;\n int m = a[0].length;\n long[][] ret = new long[m][n];\n for (int j = 0; j < m; j++) {\n for (int i = 0; i < n; i++) {\n ret[j][i] = a[i][j];\n }\n }\n return ret;\n }\n\n public static long[] map(long[] a, LongUnaryOperator f) {\n long[] b = new long[a.length];\n Arrays.setAll(b, i -> f.applyAsLong(a[i]));\n return b;\n }\n\n public static long[] filter(long[] a, LongPredicate p) {\n LongArrayList ret = new LongArrayList();\n for (long e : a) {\n ret.addIf(e, p);\n }\n return ret.toArray();\n }\n\n public static long[] accumulate(long[] a, LongBinaryOperator op) {\n int n = a.length;\n long[] ret = new long[n];\n ret[0] = a[0];\n for (int i = 1; i < n; i++) {\n ret[i] = op.applyAsLong(ret[i - 1], a[i]);\n }\n return ret;\n }\n\n public static long[] accumulate(long[] a) {\n int n = a.length;\n long[] ret = new long[n];\n ret[0] = a[0];\n for (int i = 1; i < n; i++) {\n ret[i] = ret[i - 1] + a[i];\n }\n return ret;\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n * \n * 1. DESTRUCTIVE methods for long arrays.\n * 2. methods that receives arrays and return some results (except for long arrays).\n */\nclass LongArrays {\n\n private LongArrays(){}\n\n public static void swap(long[] a, int u, int v) {\n long tmp = a[u];\n a[u] = a[v];\n a[v] = tmp;\n }\n\n public static void reverse(long[] a, int begin, int end) {\n for (int i = begin; i < begin + (end - begin) / 2; i++) {\n swap(a, i, begin + end - i - 1);\n }\n }\n\n public static void reverse(long[] a) {\n reverse(a, 0, a.length);\n }\n\n public static void sortDescending(long[] a) {\n Arrays.sort(a);\n reverse(a);\n }\n\n public static long reduce(long[] a, LongBinaryOperator op) {\n long ret = a[0];\n for (int i = 1; i < a.length; i++) {\n ret = op.applyAsLong(ret, a[i]);\n }\n return ret;\n }\n\n public static void map(long[] a, LongUnaryOperator op) {\n for (int i = 0; i < a.length; i++) {\n a[i] = op.applyAsLong(a[i]);\n }\n }\n\n public static void filter(long[] src, long[] dst, LongPredicate p) {\n int idx = 0;\n for (long e : src) {\n if (p.test(e)) {\n dst[idx++] = e;\n }\n }\n }\n\n public static void filterIndex(long[] dst, int beginIndex, int endIndex, LongPredicate p) {\n for (int i = beginIndex, idx = 0; i < endIndex; i++) {\n if (p.test(i)) {\n dst[idx++] = i;\n }\n }\n }\n\n public static void filterIndex(long dst[], int endIndex, LongPredicate p) {\n filterIndex(dst, 0, endIndex, p);\n }\n\n public static void accumulate(long[] a, LongBinaryOperator op) {\n for (int i = 1; i < a.length; i++) {\n a[i] = op.applyAsLong(a[i - 1], a[i]);\n }\n }\n\n public static void accumulate(long[] a) {\n for (int i = 1; i < a.length; i++) {\n a[i] += a[i - 1];\n }\n }\n\n public static int unique(long[] a) {\n HashSet<Long> set = new HashSet<>();\n for (long e : a) {\n set.add(e);\n }\n int m = set.size();\n long[] b = new long[m];\n int index = 0;\n for (int i = 0; i < a.length; i++) {\n if (set.contains(a[i])) {\n b[index++] = a[i];\n set.remove(a[i]);\n }\n }\n a = b;\n return m;\n }\n\n public static void transpose(long[][] a) {\n int n = a.length;\n int m = a[0].length;\n long[][] ret = new long[m][n];\n for (int j = 0; j < m; j++) {\n for (int i = 0; i < n; i++) {\n ret[j][i] = a[i][j];\n }\n }\n a = ret;\n }\n\n public static int compare(long[] a, long[] b) {\n for (int i = 0; i < a.length; i++) {\n if (i >= b.length) {\n return -1;\n } else if (a[i] > b[i]) {\n return 1;\n } else if (a[i] < b[i]) {\n return -1;\n }\n }\n if (a.length < b.length) {\n return 1;\n } else {\n return 0;\n }\n }\n\n public static boolean equals(long[] a, long[] b) {\n return compare(a, b) == 0;\n }\n\n public static String join(long[] a, String sep) {\n StringBuilder sb = new StringBuilder();\n for (int i = 0; i < a.length; i++) {\n sb.append(a[i]);\n if (i < a.length - 1) {\n sb.append(sep);\n }\n }\n return sb.toString();\n }\n\n public static String joinWithPrefixAndSuffix(long[] a, IntFunction<String> idxToPre, IntFunction<String> idxToSuf, String sep) {\n StringBuilder sb = new StringBuilder();\n for (int i = 0; i < a.length; i++) {\n sb.append(idxToPre.apply(i)).append(a[i]).append(idxToSuf.apply(i));\n if (i < a.length - 1) {\n sb.append(sep);\n }\n }\n return sb.toString();\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass Monoid<T> {\n public T e;\n private BinaryOperator<T> operator;\n\n public Monoid(T e, BinaryOperator<T> operator) {\n this.e = e;\n this.operator = operator;\n }\n\n public Monoid(BinaryOperator<T> operator) {\n this.e = null;\n this.operator = (u, v) -> {\n if (u == null) {\n return v;\n } else if (v == null) {\n return u;\n } else {\n return operator.apply(u, v);\n }\n };\n }\n\n public T apply(T t, T u) {\n return operator.apply(t, u);\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongAlgebraicStructure {\n public static final LongAbelianGroup ADDL = new LongAbelianGroup(0l, (u, v) -> u + v, x -> -x);\n public static final LongAbelianGroup XORL = new LongAbelianGroup(0l, (u, v) -> u ^ v, x -> x);\n\n public static final LongMonoid MULL = new LongMonoid( 1l, (u, v) -> u * v);\n public static final LongMonoid MAXL = new LongMonoid(-Const.LINF, Long::max);\n public static final LongMonoid MINL = new LongMonoid( Const.LINF, Long::min);\n public static final LongMonoid RWL = new LongMonoid( Const.LINF, (u, v) -> v);\n public static final LongMonoid ANDL = new LongMonoid(-1l, (u, v) -> u & v);\n public static final LongMonoid ORL = new LongMonoid( 0l, (u, v) -> u | v);\n public static final LongMonoid GCDL = new LongMonoid( 0l, MathUtil::gcd);\n\n public static final LongRing ADD_MULL = new LongRing(ADDL, MULL);\n public static final LongRing XOR_ANDL = new LongRing(XORL, ANDL);\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass ModuloArithmetic extends LongField {\n public final long MOD;\n private long[] fact;\n private long[] pow;\n\n /**\n * support modulo p arithmetic\n * \n * @param p p s.t. p is a prime number.\n */\n public ModuloArithmetic(long p) {\n super(\n new LongAbelianGroup(0l, (u, v) -> add(u, v, p), x -> -x),\n new LongAbelianGroup(1l, (u, v) -> mul(u, v, p), x -> inv(x, p))\n );\n this.MOD = p;\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a + b mod p.\n * \n * @param a\n * @param b\n * @param mod\n * @return x s.t. 0 <= x < MOD /\\ x = a + b mod p.\n */\n private static long add(long a, long b, long mod) {\n long s = a + b;\n return s < 0 ? s + mod : s >= mod ? s - mod : s;\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a * b mod p.\n * \n * @param a\n * @param b\n * @param mod\n * @return x s.t. 0 <= x < MOD /\\ x = a * b mod p.\n */\n private static long mul(long a, long b, long mod) {\n long ret = (a * b) % mod;\n return ret < 0 ? ret + mod : ret;\n }\n\n /**\n * Calculate the value b s.t. a*b mod MOD = 1.\n * \n * @param a\n * @return inverse of a\n */\n private static long inv(long a, long mod) {\n long b = mod;\n long u = 1, v = 0;\n while (b >= 1) {\n long t = a / b;\n a -= t * b;\n long tmp1 = a; a = b; b = tmp1;\n u -= t * v;\n long tmp2 = u; u = v; v = tmp2;\n }\n u %= mod;\n return u < 0 ? u + mod : u;\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a mod p.\n * \n * @param a\n * @return x s.t. 0 <= x < MOD /\\ x = a mod p.\n */\n public long mod(long a) {\n a %= MOD;\n return a < 0 ? a + MOD : a;\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a_1 + 1_2 + ... + a_k mod p.\n * \n * @param a\n * @return x s.t. 0 <= x < MOD /\\ x = a_1 + 1_2 + ... + a_k mod p.\n */\n public long sum(long... a) {\n long ret = 0;\n for (long c : a) ret += c;\n return mod(ret);\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a + b mod p.\n * \n * @param a\n * @param b\n * @return x s.t. 0 <= x < MOD /\\ x = a + b mod p.\n */\n public long add(long a, long b) {\n long s = a + b;\n return s < 0 ? s + MOD : s >= MOD ? s - MOD : s;\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a - b mod p.\n * \n * @param a\n * @param b\n * @return x s.t. 0 <= x < MOD /\\ x = a - b mod p.\n */\n public long sub(long a, long b) {\n long s = a - b;\n return s < 0 ? s + MOD : s >= MOD ? s - MOD : s;\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a_1 * 1_2 * ... * a_k mod p.\n * \n * @param a\n * @return x s.t. 0 <= x < MOD /\\ x = a_1 * 1_2 * ... * a_k mod p.\n */\n public long prod(long... a) {\n long ret = 1;\n for (long c : a) {\n ret = (ret * c) % MOD;\n }\n return ret < 0 ? ret + MOD : ret;\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ x = a * b mod p.\n * \n * @param a\n * @param b\n * @return x s.t. 0 <= x < MOD /\\ x = a * b mod p.\n */\n public long mul(long a, long b) {\n return mod(a * b);\n }\n\n /**\n * Calculate x s.t. 0 <= x < MOD /\\ b * x = a mod p.\n * \n * @param a\n * @param b\n * @return x s.t. 0 <= x < MOD /\\ b * x = a mod p.\n */\n public long div(long a, long b) {\n return mul(a, inv(b));\n }\n\n /**\n * Calculate the value b s.t. a*b mod MOD = 1.\n * \n * @param a\n * @return inverse of a\n */\n public long inv(long a) {\n long b = MOD;\n long u = 1, v = 0;\n while (b >= 1) {\n long t = a / b;\n a -= t * b;\n long tmp1 = a; a = b; b = tmp1;\n u -= t * v;\n long tmp2 = u; u = v; v = tmp2;\n }\n return mod(u);\n }\n\n /**\n * Calculate the permutation nPr.\n * \n * @param n\n * @param r\n * @return nPr\n */\n public long perm(long n, long r) {\n if (n < r) {\n return 0;\n }\n if (fact != null && n <= fact.length) {\n return div(fact[(int) n], fact[(int) (n - r)]);\n }\n long ret = 1;\n for (long i = n; i > n - r; i--) {\n ret = mul(ret, i);\n }\n return ret;\n }\n\n /**\n * Calculate the combination nCr.\n * \n * @param n\n * @param r\n * @return nCr\n */\n public long comb(long n, long r) {\n if (n < r) {\n return 0;\n }\n if (fact != null && n <= fact.length) {\n return div(fact[(int) n], mul(fact[(int) (n - r)], fact[(int) r]));\n }\n r = Math.min(r, n - r);\n long res = 1;\n for (long d = 1; d <= r; d++) {\n res = div(mul(res, n--), d);\n }\n return res;\n }\n \n /**\n * call this method after building factorial array.\n * \n * @param n\n * @return n! mod p\n */\n public long fact(int n) {\n return fact[n];\n }\n\n /**\n * call this nethod after building power array.\n * \n * @param n\n * @return (base)^n\n */\n public long pow(int n) {\n return pow[n];\n }\n\n /**\n * Calculate a^b (mod {@code MOD}) in O(log b) time.\n * \n * @param a base\n * @param b index\n * @return a^b (mod {@code MOD})\n */\n public long pow(long a, long b) {\n if (b == 0) {\n return 1;\n }\n long half = pow(a, b >> 1);\n if ((b & 1) == 0) {\n return mul(half, half);\n } else {\n return prod(half, half, a);\n }\n }\n\n /**\n * build factorial array from 0 to n (closed)\n * \n * @param n\n */\n public void buildFactorial(int n) {\n this.fact = new long[n + 1];\n for (int i = 0; i <= n; i++) {\n if (i <= 1) {\n fact[i] = 1;\n } else {\n fact[i] = mul(fact[i - 1], i);\n }\n }\n }\n\n /**\n * build power array based on a from 0 to n (closed)\n * \n * @param a base of power\n * @param n\n */\n public void buildPower(long a, int n) {\n if (a == 2) {\n buildPower(n);\n } else {\n this.pow = new long[n + 1];\n for (int i = 0; i <= n; i++) {\n if (i == 0) {\n pow[i] = 1;\n } else {\n pow[i] = mul(pow[i - 1], a);\n }\n }\n }\n }\n\n /**\n * build power array based on 2 from 0 to n (closed)\n * \n * @param n\n */\n public void buildPower(int n) {\n this.pow = new long[n + 1];\n for (int i = 0; i <= n; i++) {\n if (i == 0) {\n pow[i] = 1;\n } else {\n pow[i] = pow[i - 1] << 1;\n if (pow[i] >= MOD) {\n pow[i] -= MOD;\n }\n }\n }\n }\n}\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongSemiRing {\n public long e0;\n public long e1;\n\n private LongMonoid addition;\n private LongMonoid muliplication;\n\n public LongSemiRing(LongMonoid addition, LongMonoid multiplication) {\n this.addition = addition;\n this.muliplication = multiplication;\n this.e0 = addition.e;\n this.e1 = multiplication.e;\n }\n\n public long add(long t, long u) {\n return addition.apply(t, u);\n }\n\n public long mul(long t, long u) {\n return muliplication.apply(t, u);\n }\n}\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongField extends LongRing{\n private LongAbelianGroup multiplication;\n\n public LongField(LongAbelianGroup addition, LongAbelianGroup multiplication) {\n super(addition, multiplication);\n this.multiplication = multiplication;\n }\n\n public long multiplicativeInverse(long t) {\n return multiplication.inverse(t);\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongGroup extends LongMonoid {\n private LongUnaryOperator inv;\n\n public LongGroup(long e, LongBinaryOperator operator, LongUnaryOperator inv) {\n super(e, operator);\n this.inv = inv;\n }\n\n public long inverse(long t) {\n return inv.applyAsLong(t);\n }\n}\n\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongArrayList implements Iterable<Long> {\n private long[] a;\n private int tail = 0;\n\n private static final int DEFAULT_SIZE = 64;\n\n public LongArrayList(int capacity) {\n this.a = new long[Math.max(1, capacity)];\n }\n\n public LongArrayList() {\n this(DEFAULT_SIZE);\n }\n\n public void add(long v) {\n if (tail == a.length) {\n resize();\n }\n a[tail++] = v;\n }\n\n public long removeLast() {\n return a[tail--];\n }\n\n public long get(int i) {\n if (i >= a.length) {\n System.err.println(\"Error in LongArrayList::get(\" + i + \"): ArrayIndexOutOfBounds. list size = \" + a.length);\n }\n return a[i];\n }\n\n public void set(int i, long v) {\n if (i >= a.length) {\n System.err.println(\"Error in LongArrayList::set(\" + i + \"): ArrayIndexOutOfBounds. list size = \" + a.length);\n }\n a[i] = v;\n }\n\n private void resize() {\n long[] b = new long[a.length << 1];\n System.arraycopy(a, 0, b, 0, a.length);\n a = b;\n }\n\n public int size() {\n return tail;\n }\n\n public void reverse(int begin, int end) {\n LongArrays.reverse(a, begin, end);\n }\n\n public void reverse() {\n LongArrays.reverse(a, 0, tail);\n }\n\n public long[] toArray() {\n long[] ret = new long[tail];\n System.arraycopy(a, 0, ret, 0, tail);\n return ret;\n }\n\n public boolean addIf(long v, LongPredicate p) {\n if (p.test(v)) {\n add(v);\n return true;\n }\n return false;\n }\n\n public PrimitiveIterator.OfLong iterator() {\n return new LongArrayListIterator();\n }\n\n private class LongArrayListIterator implements PrimitiveIterator.OfLong {\n private int i = 0;\n \n public boolean hasNext() {\n return i < tail;\n }\n\n public long nextLong() {\n return a[i++];\n }\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongMatrix {\n public final int r;\n public final int c;\n\n protected long[] a;\n\n public LongMatrix(int r, int c, long init) {\n this.r = r;\n this.c = c;\n this.a = LongArrayGenerator.filled(r * c, init);\n }\n\n public LongMatrix(int r, int c) {\n this(r, c, 0);\n }\n\n public LongMatrix(long[][] a) {\n this.r = a.length;\n this.c = a[0].length;\n this.a = new long[r * c];\n for (int i = 0; i < r; i++) {\n for (int j = 0; j < c; j++) {\n this.a[i * this.c + j] = a[i][j];\n }\n }\n }\n\n protected LongMatrix(long[] a, int r, int c) {\n this.r = r;\n this.c = c;\n this.a = a.clone();\n }\n\n public long get(int i, int j) {\n return a[i * c + j];\n }\n\n public void set(int i, int j, long v) {\n a[i * c + j] = v;\n }\n\n public long[][] toArray() {\n long[][] ret = new long[r][c];\n for (int i = 0; i < r; i++) {\n for (int j = 0; j < c; j++) {\n ret[i][j] = a[i * c + j];\n }\n }\n return ret;\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass In {\n public static final FastScanner fsc = new FastScanner();\n\n public static int ni() {\n return fsc.nextInt();\n }\n\n public static int ni(IntUnaryOperator f) {\n return f.applyAsInt(fsc.nextInt());\n }\n\n public static int[] ni(int n) {\n int[] a = new int[n];\n Arrays.setAll(a, i -> fsc.nextInt());\n return a;\n }\n\n public static int[] ni (int n, IntUnaryOperator f) {\n int[] a = new int[n];\n Arrays.setAll(a, i -> ni(f));\n return a;\n }\n\n public static int[][] ni(int n, int m) {\n int[][] a = new int[n][m];\n Arrays.setAll(a, i -> ni(m));\n return a;\n }\n\n public static int[][] ni(int n, int m, IntUnaryOperator f) {\n int[][] a = new int[n][m];\n Arrays.setAll(a, i -> ni(m, f));\n return a;\n }\n\n public static long nl() {\n return fsc.nextLong();\n }\n\n public static long nl(LongUnaryOperator f) {\n return f.applyAsLong(fsc.nextLong());\n }\n\n public static long[] nl(int n) {\n long[] a = new long[n];\n Arrays.setAll(a, i -> fsc.nextLong());\n return a;\n }\n\n public static long[] nl(int n, LongUnaryOperator f) {\n long[] a = new long[n];\n Arrays.setAll(a, i -> nl(f));\n return a;\n }\n\n public static long[][] nl(int n, int m) {\n long[][] a = new long[n][m];\n Arrays.setAll(a, i -> nl(m));\n return a;\n }\n\n public static long[][] nl(int n, int m, LongUnaryOperator f) {\n long[][] a = new long[n][m];\n Arrays.setAll(a, i -> nl(m, f));\n return a;\n }\n\n public static char[] nc() {\n return fsc.next().toCharArray();\n }\n\n public static char[][] nc(int n, int m) {\n char[][] c = new char[n][m];\n Arrays.setAll(c, i -> nc());\n return c;\n }\n\n public static double nd() {\n return fsc.nextDouble();\n }\n\n public static double nd(DoubleUnaryOperator f) {\n return f.applyAsDouble(fsc.nextDouble());\n }\n\n public static double[] nd(int n) {\n double[] a = new double[n];\n Arrays.setAll(a, i -> fsc.nextDouble());\n return a;\n }\n\n public static double[] nd(int n, DoubleUnaryOperator f) {\n double[] a = new double[n];\n Arrays.setAll(a, i -> nd(f));\n return a;\n }\n\n public static double[][] nd(int n, int m) {\n double[][] a = new double[n][m];\n Arrays.setAll(a, i -> nd(m));\n return a;\n }\n\n public static double[][] nd(int n, int m, DoubleUnaryOperator f) {\n double[][] a = new double[n][m];\n Arrays.setAll(a, i -> nd(m, f));\n return a;\n }\n\n public static String ns() {\n return fsc.next();\n }\n\n public static String[] ns(int n) {\n String[] s = new String[n];\n Arrays.setAll(s, i -> ns());\n return s;\n }\n\n public static boolean[][] grid(int h, int w, char trueCharacter) {\n boolean[][] grid = new boolean[h][w];\n for (int i = 0; i < h; i++) {\n char[] s = fsc.next().toCharArray();\n for (int j = 0; j < w; j++) {\n grid[i][j] = s[j] == trueCharacter;\n }\n }\n return grid;\n }\n}\n\n\nclass FastScanner {\n private final InputStream in = System.in;\n private final byte[] buffer = new byte[1024];\n private int ptr = 0;\n private int buflen = 0;\n\n private boolean hasNextByte() {\n if (ptr < buflen) {\n return true;\n } else {\n ptr = 0;\n try {\n buflen = in.read(buffer);\n } catch (IOException e) {\n e.printStackTrace();\n }\n if (buflen <= 0) {\n return false;\n }\n }\n return true;\n }\n\n private int readByte() {\n if (hasNextByte()) {\n return buffer[ptr++];\n } else {\n return -1;\n }\n }\n\n private static boolean isPrintableChar(int c) {\n return 33 <= c && c <= 126;\n }\n\n public boolean hasNext() {\n while (hasNextByte() && !isPrintableChar(buffer[ptr])) {\n ptr++;\n }\n return hasNextByte();\n }\n\n public String next() {\n if (!hasNext()) {\n throw new NoSuchElementException();\n }\n StringBuilder sb = new StringBuilder();\n int b = readByte();\n while (isPrintableChar(b)) {\n sb.appendCodePoint(b);\n b = readByte();\n }\n return sb.toString();\n }\n\n public long nextLong() {\n if (!hasNext()) {\n throw new NoSuchElementException();\n }\n long n = 0;\n boolean minus = false;\n int b = readByte();\n if (b == '-') {\n minus = true;\n b = readByte();\n }\n if (b < '0' || '9' < b) {\n throw new NumberFormatException();\n }\n while (true) {\n if ('0' <= b && b <= '9') {\n n *= 10;\n n += b - '0';\n } else if (b == -1 || !isPrintableChar(b)) {\n return minus ? -n : n;\n } else {\n throw new NumberFormatException();\n }\n b = readByte();\n }\n }\n\n public int nextInt() {\n long nl = nextLong();\n if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {\n throw new NumberFormatException();\n }\n return (int) nl;\n }\n\n public double nextDouble() {\n return Double.parseDouble(next());\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongMonoid {\n public long e;\n private LongBinaryOperator operator;\n\n public LongMonoid(long e, LongBinaryOperator operator) {\n this.e = e;\n this.operator = operator;\n }\n\n public long apply(long t, long u) {\n return operator.applyAsLong(t, u);\n }\n}\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongSquareMatrix extends LongMatrix {\n public final int n;\n\n public LongSquareMatrix(int n, long init) {\n super(n, n, init);\n this.n = n;\n }\n\n public LongSquareMatrix(int n) {\n this(n, 0);\n }\n\n public LongSquareMatrix(long[][] a) {\n super(a);\n this.n = a.length;\n }\n\n public LongSquareMatrix(long[] a, int n) {\n super(a, n, n);\n this.n = n;\n }\n\n public double det() {\n double ret = 1.;\n double[][] mat = new double[n][n];\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < n; j++) {\n mat[i][j] = get(i, j);\n }\n }\n double eps = 1e-15;\n boolean swap = false;\n for (int i = 0; i < n; i++) {\n double m = mat[i][i];\n int mj = i;\n for (int j = i + 1; j < n; j++) {\n double v = mat[j][i];\n if (Math.abs(v) > Math.abs(m)) {\n m = v;\n mj = j;\n }\n }\n if (Math.abs(m) < eps) {\n return 0;\n }\n ret *= m;\n if (mj != i) {\n double[] tmp = new double[n];\n System.arraycopy(mat[i], 0, tmp, 0, n);\n System.arraycopy(mat[mj], 0, mat[i], 0, n);\n System.arraycopy(tmp, 0, mat[mj], 0, n);\n swap = !swap;\n }\n for (int j = i + 1; j < n; j++) {\n double r = mat[j][i] / mat[i][i];\n for (int k = i; k < n; k++) {\n mat[j][k] -= mat[i][k] * r;\n }\n }\n }\n return swap ? -ret : ret;\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass MathUtil{\n private static final long UNDER32_MASK = 0xffff_ffffl;\n\n private MathUtil(){}\n \n /**\n * Enumarate primes equal to or less than n.\n * @param n\n * @return {@code ArrayList} that holds primes.\n */\n public static ArrayList<Integer> eratosthenes(int n) {\n int[] div = eratosthenesDivisors(n);\n ArrayList<Integer> result = new ArrayList<>();\n for (int i = 2; i <= n; i++) if (div[i] == i) result.add(i);\n return result;\n }\n\n /**\n * execute eratosthenes's prime-enumerate algorithm. a[i] holds the greatest\n * divisor of i. if a[i] = i, i is a prime number. This arrary enables you to\n * prime-factorize in O(log n) time.\n * @param n\n * @return divisor array.\n */\n public static int[] eratosthenesDivisors(int n) {\n int[] divisors = new int[n + 1];\n if (n <= 0) return null;\n for (int i = 1; i <= n; i++) {\n if ((i & 1) != 0) divisors[i] = i;\n else divisors[i] = 2;\n }\n for (int i = 3; i <= n; i += 2) {\n if (divisors[i] == i) {\n for (long j = (long) i * i; j <= n; j += i << 1) {\n divisors[(int) j] = i;\n }\n }\n }\n return divisors;\n }\n\n /**\n * Caluculate prime-factorization in O(sqrt(n)) time.\n * @param n\n * @return {@code HashMap} of {prime: index}\n */\n public static HashMap<Long, Integer> primeFactorization(long n) {\n HashMap<Long, Integer> primes = new HashMap<>();\n for (long p = 2; p * p <= n; p++) {\n int q = 0;\n while (n % p == 0) {\n n /= p;\n q++;\n }\n if (q > 0) primes.put(p, q);\n }\n if (n > 1) primes.put(n, 1);\n return primes;\n }\n\n public static TreeSet<Long> divisors(long n) {\n TreeSet<Long> divisors = new TreeSet<>();\n for (long i = 1; i * i <= n; i++) {\n if (n % i == 0) {\n divisors.add(i);\n divisors.add(n / i);\n }\n }\n return divisors;\n }\n\n private static HashMap<Long, Integer> lcmMap(HashMap<Long, Integer> amap, HashMap<Long, Integer> bmap) {\n if (amap.size() < bmap.size()) return lcmMap(bmap, amap);\n HashMap<Long, Integer> lcm = amap;\n for (Map.Entry<Long, Integer> e : bmap.entrySet()) {\n long prime = e.getKey();\n if (lcm.containsKey(prime)) lcm.put(prime, Math.max(lcm.get(prime), e.getValue()));\n else lcm.put(prime, e.getValue());\n }\n return lcm;\n }\n\n private static HashMap<Long, Integer> lcmMap(HashMap<Long, Integer> amap, long b) {\n HashMap<Long, Integer> bmap = primeFactorization(b);\n return lcmMap(amap, bmap);\n }\n\n public static HashMap<Long, Integer> lcmMap(long... a) {\n HashMap<Long, Integer> amap = new HashMap<>();\n for (long c : a) amap = lcmMap(amap, c);\n return amap;\n }\n\n /**\n * calculate lcm(a, b) fast. (NOT considering overflow.)\n */\n public static long lcm(long a, long b) {\n return (a / gcd(a, b)) * b;\n }\n\n /**\n * Caluculate the GCD of (a, b)/\n * \n * @param a first value\n * @param b second value\n * @return GCD(a, b)\n */\n public static long gcd(long a, long b) {\n if (a < b) return gcd(b, a);\n if (b == 0) return a;\n if (a == 0) return b;\n long r = a % b;\n while (r != 0) {\n a = b;\n b = r;\n r = a % b;\n }\n return b;\n }\n\n public static long gcd(long... a){\n long gcd = 0;\n for (long c : a) gcd = gcd(gcd, c);\n return gcd;\n }\n\n /**\n * Return one of the solutions to {@code ax+by=gcd(a, b)}.\n * @return {@code x}, {@code y}, {@code gcd(a, b)}.\n * @param a a of ax+by=gcd(a, b).\n * @param b b of ax+by=gcd(a, b). class ReferenceLong is a reference type of long.\n */\n public static long[] extGCD(long a, long b) {\n long[] ret = new long[3];\n long[] xy = new long[2];\n ret[2] = extGCD(a, b, xy);\n ret[0] = xy[0];\n ret[1] = xy[1];\n return ret;\n }\n\n private static long extGCD(long a, long b, long[] xy) {\n if (b == 0) {\n xy[0] = 1;\n xy[1] = 0;\n return a;\n }\n long tmp = xy[0];\n xy[0] = xy[1];\n xy[1] = tmp;\n long d = extGCD(b, a % b, xy);\n xy[1] -= a / b * xy[0];\n return d;\n }\n \n /**\n * caluculate a ^ b NOT considering overflow.\n * so if you want to calculate a ^ b (mod p), use ModUtil.pow(a, b).\n * @param a base\n * @param b exponent\n * @return a ^ b\n */\n public static long pow(int a, long b) {\n long ret = 1l;\n for (long c = 1, ac = a; b > 0; ac *= ac, c <<= 1) {\n if ((-b & b) == c) {\n ret *= ac;\n b &= ~(-b & b);\n }\n }\n return ret;\n }\n\n /**\n * Caluculate the combination nCr NOT considering overflow.\n * \n * @param n left\n * @param r right\n * @return nCr\n */\n public static long comb(long n, long r) {\n if (n < r) return 0;\n r = Math.min(r, n - r);\n long res = 1;\n for (long d = 1; d <= r; d++, n--) res *= n / d;\n return res;\n }\n\n public static long int2ToLong(int upper, int lower) {\n return ((long) upper << Integer.SIZE) | lower;\n }\n\n public static int upper32(long l) {\n return (int) (l >>> Integer.SIZE);\n }\n\n public static int lower32(long l) {\n return (int) (l & UNDER32_MASK);\n }\n}\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass SemiRing<T> {\n public T e0;\n public T e1;\n\n private Monoid<T> addition;\n private Monoid<T> muliplication;\n\n public SemiRing(Monoid<T> addition, Monoid<T> multiplication) {\n this.addition = addition;\n this.muliplication = multiplication;\n this.e0 = addition.e;\n this.e1 = multiplication.e;\n }\n\n public T add(T t, T u) {\n return addition.apply(t, u);\n }\n\n public T mul(T t, T u) {\n return muliplication.apply(t, u);\n }\n}\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongRing extends LongSemiRing{\n private LongAbelianGroup addition;\n\n public LongRing(LongAbelianGroup addition, LongMonoid multiplication) {\n super(addition, multiplication);\n this.addition = addition;\n }\n\n public long additiveInverse(long t) {\n return addition.inverse(t);\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongAbelianGroup extends LongGroup{\n public LongAbelianGroup(long e, LongBinaryOperator operator, LongUnaryOperator inv) {\n super(e, operator, inv);\n }\n}\n\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass LongSquareMatrixArithmetic extends SemiRing<LongSquareMatrix> {\n private final LongSemiRing semiRing;\n private final int n;\n private final LongSquareMatrix e0;\n private final LongSquareMatrix e1;\n\n public LongSquareMatrixArithmetic(int n, LongSemiRing semiRing) {\n super(\n new Monoid<>(e0(n, semiRing), (u, v) -> add(u, v, semiRing)), \n new Monoid<>(e1(n, semiRing), (u, v) -> mul(u, v, semiRing))\n );\n this.n = n;\n this.semiRing = semiRing;\n this.e0 = super.e0;\n this.e1 = super.e1;\n }\n\n public LongSquareMatrixArithmetic(int n) {\n this(n, LongAlgebraicStructure.ADD_MULL);\n }\n\n private static LongSquareMatrix add(LongSquareMatrix a, LongSquareMatrix b, LongSemiRing semiRing) {\n int n = a.n;\n LongSquareMatrix ret = new LongSquareMatrix(n, semiRing.e0);\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < n; j++) {\n ret.set(i, j, semiRing.add(a.get(i, j), b.get(i, j)));\n }\n }\n return ret;\n }\n\n private static LongSquareMatrix mul(LongSquareMatrix a, LongSquareMatrix b, LongSemiRing semiRing) {\n int n = a.n;\n LongSquareMatrix ret = new LongSquareMatrix(n, semiRing.e0);\n for (int i = 0; i < n; i++) {\n for (int k = 0; k < n; k++) {\n for (int j = 0; j < n; j++) {\n ret.set(i, j, semiRing.add(ret.get(i, j), semiRing.mul(a.get(i, k), b.get(k, j))));\n }\n }\n }\n return ret;\n }\n\n private static LongSquareMatrix e0(int n, LongSemiRing semiRing) {\n return new LongSquareMatrix(n, semiRing.e0);\n }\n\n private static LongSquareMatrix e1(int n, LongSemiRing semiRing) {\n LongSquareMatrix ret = new LongSquareMatrix(n, semiRing.e0);\n for (int i = 0; i < n; i++) {\n ret.set(i, i, semiRing.e1);\n }\n return ret;\n }\n\n public LongSquareMatrix e0() {\n return e0(n, semiRing);\n }\n\n public LongSquareMatrix e1() {\n return e1(n, semiRing);\n }\n\n public LongSquareMatrix add(LongSquareMatrix a, LongSquareMatrix b) {\n LongSquareMatrix ret = e0();\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < n; j++) {\n ret.set(i, j, semiRing.add(a.get(i, j), b.get(i, j)));\n }\n }\n return ret;\n }\n\n public LongSquareMatrix mul(LongSquareMatrix a, LongSquareMatrix b) {\n LongSquareMatrix ret = e0();\n for (int i = 0; i < n; i++) {\n for (int k = 0; k < n; k++) {\n for (int j = 0; j < n; j++) {\n ret.set(i, j, semiRing.add(ret.get(i, j), semiRing.mul(a.get(i, k), b.get(k, j))));\n }\n }\n }\n return ret;\n }\n\n public LongSquareMatrix pow(LongSquareMatrix a, long b) {\n LongSquareMatrix ret = e1();\n LongSquareMatrix pow = a;\n for (long c = 1 ; b > 0; pow = mul(pow, pow), c <<= 1) {\n if ((-b & b) == c) {\n ret = mul(ret, pow);\n b &= ~(-b & b);\n }\n }\n return ret;\n }\n\n public long[] mul(LongSquareMatrix a, long[] x) {\n long[] y = LongArrayGenerator.filled(n, semiRing.e0);\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < n; j++) {\n y[i] = semiRing.add(y[i], semiRing.mul(a.get(i, j), x[j]));\n }\n }\n return y;\n }\n}\n\n/**\n * @author https://atcoder.jp/users/suisen\n */\nclass Const {\n public static final long MOD7 = 1_000_000_007;\n public static final long MOD9 = 1_000_000_009;\n public static final long MOD99 = 998_244_353;\n\n public static final long LINF = Long.MAX_VALUE >> 2;\n public static final int IINF = Integer.MAX_VALUE >> 1;\n public static final double DINF = 1e150;\n\n public static final double SDELTA = 1e-12;\n public static final double DELTA = 1e-9;\n public static final double LDELTA = 1e-6;\n\n public static final String YES = \"YES\";\n public static final String NO = \"NO\";\n public static final String Yes = \"Yes\";\n public static final String No = \"No\";\n public static final String POSSIBLE = \"POSSIBLE\";\n public static final String IMPOSSIBLE = \"IMPOSSIBLE\";\n public static final String Possible = \"Possible\";\n public static final String Impossible = \"Impossible\";\n\n public static final int[] dx8 = {1, 0, -1, 0, 1, -1, -1, 1};\n public static final int[] dy8 = {0, 1, 0, -1, 1, 1, -1, -1};\n public static final int[] dx = {1, 0, -1, 0};\n public static final int[] dy = {0, 1, 0, -1};\n\n private Const(){}\n}\n", "python": "L, A, B, M = map(int, input().split())\nans = 0\nd = 0\ndef mul(X, Y):\n Z = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]\n for i in range(3):\n for j in range(3):\n r = 0\n for k in range(3):\n r += X[i][k] * Y[k][j]\n Z[i][j] = r % M\n return Z\n\nx = 0; a = A\nwhile 1:\n kd0 = max(min((10**d - A + B - 1) // B, L), 0)\n kd1 = max(min((10**(d+1) - A + B - 1) // B, L), 0)\n\n Q = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]\n P = [[10**(d+1), 0, 0], [1, 1, 0], [0, B, 1]]\n k = kd1 - kd0\n while k:\n if k & 1:\n Q = mul(P, Q)\n P = mul(P, P)\n k >>= 1\n x, a = (x*Q[0][0]+a*Q[1][0]+Q[2][0]) % M, (x*Q[0][1]+a*Q[1][1]+Q[2][1]) % M\n if kd1 == L:\n break\n d += 1\nprint(x)" }
p03156 AISing Programming Contest 2019 - Contests
You have written N problems to hold programming contests. The i-th problem will have a score of P_i points if used in a contest. With these problems, you would like to hold as many contests as possible under the following condition: * A contest has three problems. The first problem has a score not greater than A points, the second has a score between A + 1 and B points (inclusive), and the third has a score not less than B + 1 points. The same problem should not be used in multiple contests. At most how many contests can be held? Constraints * 3 \leq N \leq 100 * 1 \leq P_i \leq 20 (1 \leq i \leq N) * 1 \leq A < B < 20 * All values in input are integers. Input Input is given from Standard Input in the following format: N A B P_1 P_2 ... P_N Output Print the answer. Examples Input 7 5 15 1 10 16 2 7 20 12 Output 2 Input 8 3 8 5 5 5 10 10 10 15 20 Output 0 Input 3 5 6 5 6 10 Output 1
[ { "input": { "stdin": "3\n5 6\n5 6 10" }, "output": { "stdout": "1" } }, { "input": { "stdin": "7\n5 15\n1 10 16 2 7 20 12" }, "output": { "stdout": "2" } }, { "input": { "stdin": "8\n3 8\n5 5 5 10 10 10 15 20" }, "output": { "stdout": "0" } }, { "input": { "stdin": "3\n6 0\n1 0 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3\n6 0\n-1 0 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n7 22\n-3 0 82 2 2 3 5" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n3 14\n2 5 6 2 13 12 15 22" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "3\n6 14\n5 6 3" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n3 15\n4 5 1 2 13 12 15 19" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8\n3 9\n4 5 1 2 13 12 15 19" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "3\n11 0\n1 1 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n2 30\n0 6 0 3 -2 24 56 -1" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "7\n7 40\n-2 30 28 2 4 10 13" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n7 40\n-3 8 82 2 2 10 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8\n3 14\n2 5 10 2 13 12 15 20" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "7\n7 40\n-2 8 28 2 5 10 8" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n7 40\n-2 30 28 2 5 10 13" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3\n8 0\n5 1 2" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3\n6 0\n0 -1 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3\n5 11\n5 6 10" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n7 40\n-2 21 28 2 10 10 13" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n7 40\n-2 21 28 2 10 20 13" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n7 25\n-2 21 28 2 10 20 13" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "7\n8 25\n0 21 28 2 7 20 13" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8\n3 30\n0 6 0 3 -2 26 56 -1" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n6 -1\n5 9 3" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3\n28 0\n1 0 1" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n3 9\n4 5 0 2 13 12 15 19" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "7\n7 40\n-3 8 48 2 5 10 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n31 0\n1 1 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n3 8\n5 5 5 2 13 12 15 20" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n11 0\n1 1 1" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n2 16\n0 5 0 3 0 24 28 0" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "8\n3 14\n2 5 10 2 13 12 15 22" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "8\n2 30\n0 5 0 3 -1 24 28 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n13 22\n-4 0 134 2 2 3 5" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3\n28 0\n0 0 -1" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n3 14\n2 5 0 2 13 12 15 22" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "8\n3 16\n4 5 0 2 13 12 15 19" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n44 0\n0 0 -1" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3\n5 11\n5 6 4" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n5 25\n1 21 28 2 7 20 13" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "7\n5 25\n0 21 28 2 7 20 13" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8\n2 16\n0 5 0 2 0 12 28 0" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8\n3 8\n5 5 5 2 10 10 15 20" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8\n3 14\n4 5 0 2 13 12 15 19" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "7\n7 40\n-2 8 28 2 5 10 13" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8\n2 16\n4 5 0 2 0 12 28 0" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n6 0\n5 6 3" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "7\n8 25\n-1 21 28 4 7 20 13" }, "output": { "stdout": "1\n" } } ]
{ "tags": [], "title": "p03156 AISing Programming Contest 2019 - Contests" }
{ "cpp": "#include<bits/stdc++.h>\nusing namespace std;\nint main(){\n int N,a,b;\n cin>>N>>a>>b;\n int c=0;\n int d=0;\n int e=0;\n for(int i=0;i<N;i++){\n int p;\n cin>>p;\n if(p<=a){\n c++;\n }\n else if(p>a&&p<=b){\n d++;\n }\n else{\n e++;\n }\n }\n cout<<min({c,d,e})<<endl;\n}", "java": "\nimport java.io.*;\nimport java.util.*;\n\n/**\n * Copyright © 2018 Chris. All rights reserved.\n *\n * @author Chris\n * 2018/7/9 15:33\n * @see format\n */\npublic class Main {\n\n private static BufferedReader br;\n private static StreamTokenizer st;\n private static PrintWriter pw;\n\n static final int INF = 1000000007;\n static final int MOD = 1000000007;\n\n static int[] getBit(long num) {\n int bit[] = new int[40];\n int cur = 0;\n while (num > 0) {\n bit[cur++] = (int) (num & 1);\n num >>= 1;\n }\n return bit;\n }\n\n private static void solve() throws IOException {\n int n = nextInt();\n int x = nextInt();\n int y = nextInt();\n int p[] = new int[n];\n for (int i = 0; i < n; i++) {\n p[i] = nextInt();\n }\n Arrays.sort(p);\n int i = 0;\n while (i < n && p[i] <= x) {\n i++;\n }\n int j = i;\n while (j < n && p[j] <= y) {\n j++;\n }\n int ans = Math.min(i, j - i);\n ans = Math.min(ans, n - j);\n pw.println(ans);\n }\n\n static void swap(long a[], int i, int j) {\n a[i] ^= a[j];\n a[j] ^= a[i];\n a[i] ^= a[j];\n }\n\n static void swap(int a[], int i, int j) {\n a[i] ^= a[j];\n a[j] ^= a[i];\n a[i] ^= a[j];\n }\n\n static void getDiv(Map<Integer, Integer> map, int n) {\n int sqrt = (int) Math.sqrt(n);\n for (int i = sqrt; i >= 2; i--) {\n if (n % i == 0) {\n getDiv(map, i);\n getDiv(map, n / i);\n return;\n }\n }\n map.put(n, map.getOrDefault(n, 0) + 1);\n }\n\n public static boolean[] generatePrime(int n) {\n boolean p[] = new boolean[n + 1];\n p[2] = true;\n\n for (int i = 3; i <= n; i += 2) {\n p[i] = true;\n }\n\n for (int i = 3; i <= Math.sqrt(n); i += 2) {\n if (!p[i]) {\n continue;\n }\n for (int j = i * i; j <= n; j += i << 1) {\n p[j] = false;\n }\n }\n return p;\n }\n\n static long llMod(long a, long b, long mod) {\n return (a * b - (long) ((double) a / mod * b + 0.5) * mod + mod) % mod;\n }\n\n static int pow(long a, long n) {\n long ans = 1;\n while (n > 0) {\n if ((n & 1) == 1) {\n ans = (ans * a) % MOD;\n }\n a = (a * a) % MOD;\n n >>= 1;\n }\n return (int) ans;\n }\n\n static int pow(long a, long n, long mod) {\n long ans = 1;\n while (n > 0) {\n if ((n & 1) == 1) {\n ans = llMod(ans, a, mod);\n }\n a = llMod(a, a, mod);\n n >>= 1;\n }\n return (int) ans;\n }\n\n private static long[][] initC(int n) {\n long c[][] = new long[n][n];\n\n for (int i = 0; i < n; i++) {\n c[i][0] = 1;\n }\n\n for (int i = 1; i < n; i++) {\n for (int j = 1; j <= i; j++) {\n c[i][j] = c[i - 1][j - 1] + c[i - 1][j];\n }\n }\n return c;\n }\n\n /**\n * ps: n >= m, choose m from n;\n */\n private static int c(long n, long m) {\n if (m > n) {\n n ^= m;\n m ^= n;\n n ^= m;\n }\n m = Math.min(m, n - m);\n\n long top = 1;\n long bot = 1;\n for (long i = n - m + 1; i <= n; i++) {\n top = (top * i) % MOD;\n }\n for (int i = 1; i <= m; i++) {\n bot = (bot * i) % MOD;\n }\n\n return (int) ((top * pow(bot, MOD - 2)) % MOD);\n }\n\n static int gcd(int a, int b) {\n if (a < b) {\n a ^= b;\n b ^= a;\n a ^= b;\n }\n while (b != 0) {\n int tmp = a % b;\n a = b;\n b = tmp;\n }\n return a;\n }\n\n static boolean even(long n) {\n return (n & 1) == 0;\n }\n\n public static void main(String args[]) throws IOException {\n br = new BufferedReader(new InputStreamReader(System.in));\n st = new StreamTokenizer(br);\n pw = new PrintWriter(new OutputStreamWriter(System.out));\n st.ordinaryChar('\\''); //指定单引号、双引号和注释符号是普通字符\n st.ordinaryChar('\\\"');\n st.ordinaryChar('/');\n\n solve();\n pw.flush();\n }\n\n static String next(int len) throws IOException {\n int b = br.read();\n while (b == '\\n' || b == ' ' || b == '\\r' || b == '\\t') {\n b = br.read();\n }\n char ch[] = new char[len];\n ch[0] = (char) b;\n int idx = 1;\n while (idx < len && (b = br.read()) != ' ' && b != '\\n' && b != '\\r' && b != '\\t') {\n ch[idx++] = (char) b;\n }\n return String.valueOf(ch).trim();\n }\n\n private static int nextInt() throws IOException {\n st.nextToken();\n return (int) st.nval;\n }\n\n private static double nextDouble() throws IOException {\n st.nextToken();\n return st.nval;\n }\n\n private static String[] nextSS(String reg) throws IOException {\n return br.readLine().split(reg);\n }\n\n private static String nextLine() throws IOException {\n return br.readLine();\n }\n}\n", "python": "_,a,b,*p=map(int,open(0).read().split())\nprint(min(sum(i==(a<x)+(b<x)for x in p)for i in[0,1,2]))" }
p03299 AtCoder Grand Contest 026 - Histogram Coloring
Let us consider a grid of squares with 10^9 rows and N columns. Let (i, j) be the square at the i-th column (1 \leq i \leq N) from the left and j-th row (1 \leq j \leq 10^9) from the bottom. Snuke has cut out some part of the grid so that, for each i = 1, 2, ..., N, the bottom-most h_i squares are remaining in the i-th column from the left. Now, he will paint the remaining squares in red and blue. Find the number of the ways to paint the squares so that the following condition is satisfied: * Every remaining square is painted either red or blue. * For all 1 \leq i \leq N-1 and 1 \leq j \leq min(h_i, h_{i+1})-1, there are exactly two squares painted red and two squares painted blue among the following four squares: (i, j), (i, j+1), (i+1, j) and (i+1, j+1). Since the number of ways can be extremely large, print the count modulo 10^9+7. Constraints * 1 \leq N \leq 100 * 1 \leq h_i \leq 10^9 Input Input is given from Standard Input in the following format: N h_1 h_2 ... h_N Output Print the number of the ways to paint the squares, modulo 10^9+7. Examples Input 9 2 3 5 4 1 2 4 2 1 Output 12800 Input 2 2 2 Output 6 Input 5 2 1 2 1 2 Output 256 Input 9 27 18 28 18 28 45 90 45 23 Output 844733013
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{ "tags": [], "title": "p03299 AtCoder Grand Contest 026 - Histogram Coloring" }
{ "cpp": "#include <cstdio>\n#include <iostream>\n#include <algorithm>\n#include <cstring>\n#define ll long long\nusing namespace std;\ntemplate <class T>\ninline void rd(T &x) {\n\tx=0; char c=getchar(); int f=1;\n\twhile(!isdigit(c)) { if(c=='-') f=-1; c=getchar(); }\n\twhile(isdigit(c)) x=x*10-'0'+c,c=getchar(); x*=f;\n}\nconst int N=110,mod=1e9+7;\ninline int Pow(int x,int y) { int res=1; for(;y;y>>=1,x=x*(ll)x%mod) if(y&1) res=res*(ll)x%mod; return res; }\nint f[N][N][2],vis[N][N],h[N],minv[N][N],n;\nvoid sol(int l,int r) {\n\tif(vis[l][r]) return;\n\tvis[l][r]=1;\n\tminv[l][r]=1e9;\n\tfor(int i=l;i<=r;++i) minv[l][r]=min(minv[l][r],h[i]);\n\tint lst=l-1,tot=0;\n\tf[l][r][0]=f[l][r][1]=1;\n\tfor(int i=l;i<=r+1;++i) if(h[i]==minv[l][r]||i==r+1) {\n\t\tint L=lst+1,R=i-1; lst=i;\n\t\tif(L<=R) {\n\t\t\tsol(L,R);\n\t\t\tf[l][r][0]=f[l][r][0]*(ll)f[L][R][0]%mod*Pow(2,minv[L][R]-minv[l][r]-1)%mod;\n\t\t\tf[l][r][1]=f[l][r][1]*(ll)(f[L][R][0]*(ll)Pow(2,minv[L][R]-minv[l][r])%mod+f[L][R][1])%mod;\n\t\t\ttot+=R-L+1;\n\t\t}\n\t}\n\tf[l][r][0]=f[l][r][0]*2ll%mod;\n\tf[l][r][1]=(f[l][r][1]*(ll)Pow(2,r-l+1-tot)%mod-f[l][r][0])%mod;\n}\t\t\n\t\nint main() {\n\trd(n);\n\tfor(int i=1;i<=n;++i) rd(h[i]);\n\tsol(1,n);\n\tint ans=(f[1][n][0]*(ll)Pow(2,minv[1][n]-1)%mod+f[1][n][1])%mod;\n\tprintf(\"%d\",(ans+mod)%mod);\n\treturn 0;\n}", "java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.OutputStream;\nimport java.io.PrintWriter;\nimport java.io.BufferedWriter;\nimport java.io.Writer;\nimport java.io.OutputStreamWriter;\nimport java.util.InputMismatchException;\nimport java.io.IOException;\nimport java.util.ArrayList;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in Actual solution is at the top\n *\n * @author ilyakor\n */\npublic class Main {\n\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n OutputWriter out = new OutputWriter(outputStream);\n TaskD solver = new TaskD();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class TaskD {\n\n static final int mod = 1000 * 1000 * 1000 + 7;\n int n;\n int[] h;\n\n public void solve(int testNumber, InputReader in, OutputWriter out) {\n n = in.nextInt();\n h = new int[n + 1];\n for (int i = 0; i < n; ++i) {\n h[i] = in.nextInt();\n }\n h[n] = 1;\n\n // long[][] d = new long[n + 1][];\n // d[n] = new long[]{1};\n // for (int i = n - 1; i >= 0; --i) {\n // d[i] = new long[h[i]];\n // int rem = h[i] - h[i + 1];\n // if (rem <= 0) {\n // for (int j = 0; j < h[i + 1]; ++j) {\n // if (j < h[i + 1] - 1 && j < h[i] - 1) {\n // d[i][j] += d[i + 1][j];\n // d[i][j] %= mod;\n // } else {\n // d[i][h[i] - 1] += 2L * d[i + 1][j];\n // d[i][h[i] - 1] %= mod;\n // }\n // }\n // } else {\n // for (int j = 0; j < h[i]; ++j) {\n // if (j < h[i + 1] - 1 && j < h[i] - 1) {\n // d[i][j] += d[i + 1][j] * IntegerUtils.pow(2, rem, mod);\n // d[i][j] %= mod;\n // } else {\n // int arem = h[i] - j - 2;\n // if (arem < 0) arem = 0;\n // d[i][j] += d[i + 1][h[i + 1] - 1] * IntegerUtils.pow(2, arem + 1, mod);\n // d[i][j] %= mod;\n // }\n // }\n // }\n // }\n // long res = 0;\n // for (int i = 0; i < h[0]; ++i) {\n // res += d[0][i];\n // res %= mod;\n // }\n\n TaskD.Seg[] D = new TaskD.Seg[]{new TaskD.Seg(0, 0, 1L, 1L)};\n for (int i = n - 1; i >= 0; --i) {\n ArrayList<TaskD.Seg> nd = new ArrayList<>();\n int rem = h[i] - h[i + 1];\n if (rem <= 0) {\n long total = 0;\n for (TaskD.Seg s : D) {\n if (s.r < h[i] - 1) {\n nd.add(s);\n } else {\n Pair<TaskD.Seg, TaskD.Seg> parts = s.split(h[i] - 1);\n if (parts.first != null) {\n nd.add(parts.first);\n }\n if (parts.second != null) {\n total += parts.second.sum();\n }\n }\n }\n nd.add(new TaskD.Seg(h[i] - 1, h[i] - 1, total * 2L, 1));\n } else {\n long p = IntegerUtils.pow(2, rem, mod);\n for (TaskD.Seg s : D) {\n if (s.r < h[i + 1] - 1) {\n nd.add(new TaskD.Seg(s.l, s.r, s.start * p, s.base));\n } else {\n Pair<TaskD.Seg, TaskD.Seg> parts = s.split(h[i + 1] - 1);\n if (parts.first != null) {\n nd.add(parts.first);\n }\n long val = parts.second.at(h[i + 1] - 1);\n val *= 2L;\n val %= mod;\n nd.add(new TaskD.Seg(h[i + 1] - 1, h[i] - 2, val, 2L));\n nd.add(new TaskD.Seg(h[i] - 1, h[i] - 1, val, 1L));\n }\n }\n }\n D = new TaskD.Seg[nd.size()];\n for (int j = 0; j < nd.size(); ++j) {\n D[j] = nd.get(j);\n }\n // for (Seg s : D) {\n // for (int j = s.l; j <= s.r; ++j) {\n // if (s.at(j) != d[i][j]) {\n // throw new RuntimeException();\n // }\n // }\n // }\n }\n long res = 0;\n for (TaskD.Seg s : D) {\n res += s.sum();\n res %= mod;\n }\n out.printLine(res);\n }\n\n static class Seg {\n\n int l;\n int r;\n long start;\n long base;\n\n public Seg(int l, int r, long start, long base) {\n this.l = l;\n this.r = r;\n Assert.assertTrue(r >= l);\n this.start = start % mod;\n this.base = base;\n }\n\n long at(int ind) {\n Assert.assertTrue(ind >= l && ind <= r);\n long res = start;\n if (base != 1) {\n res *= IntegerUtils.pow(2, r - ind, mod);\n res %= mod;\n }\n return res;\n }\n\n public long sum() {\n long res;\n if (base == 1) {\n res = start * (r - l + 1L);\n res %= mod;\n } else {\n res = start * (IntegerUtils.pow(2, r - l + 1, mod) + mod - 1);\n res %= mod;\n }\n return res;\n }\n\n Pair<TaskD.Seg, TaskD.Seg> split(int ind) {\n if (ind <= l) {\n return new Pair<>(null, this);\n }\n if (ind > r) {\n return new Pair<>(this, null);\n }\n if (base == 1) {\n return new Pair<>(\n new TaskD.Seg(l, ind - 1, start, 1),\n new TaskD.Seg(ind, r, start, 1));\n } else {\n return new Pair<>(\n new TaskD.Seg(l, ind - 1, at(ind - 1), 2),\n new TaskD.Seg(ind, r, at(r), 2));\n }\n }\n\n }\n\n }\n\n static class OutputWriter {\n\n private final PrintWriter writer;\n\n public OutputWriter(OutputStream outputStream) {\n writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));\n }\n\n public OutputWriter(Writer writer) {\n this.writer = new PrintWriter(writer);\n }\n\n public void print(Object... objects) {\n for (int i = 0; i < objects.length; i++) {\n if (i != 0) {\n writer.print(' ');\n }\n writer.print(objects[i]);\n }\n }\n\n public void printLine(Object... objects) {\n print(objects);\n writer.println();\n }\n\n public void close() {\n writer.close();\n }\n\n }\n\n static class InputReader {\n\n private InputStream stream;\n private byte[] buffer = new byte[10000];\n private int cur;\n private int count;\n\n public InputReader(InputStream stream) {\n this.stream = stream;\n }\n\n public static boolean isSpace(int c) {\n return c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n }\n\n public int read() {\n if (count == -1) {\n throw new InputMismatchException();\n }\n try {\n if (cur >= count) {\n cur = 0;\n count = stream.read(buffer);\n if (count <= 0) {\n return -1;\n }\n }\n } catch (IOException e) {\n throw new InputMismatchException();\n }\n return buffer[cur++];\n }\n\n public int readSkipSpace() {\n int c;\n do {\n c = read();\n } while (isSpace(c));\n return c;\n }\n\n public int nextInt() {\n int sgn = 1;\n int c = readSkipSpace();\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n int res = 0;\n do {\n if (c < '0' || c > '9') {\n throw new InputMismatchException();\n }\n res = res * 10 + c - '0';\n c = read();\n } while (!isSpace(c));\n res *= sgn;\n return res;\n }\n\n }\n\n static class Pair<P, Q> {\n\n public P first;\n public Q second;\n\n public Pair() {\n }\n\n public Pair(P first, Q second) {\n this.first = first;\n this.second = second;\n }\n\n\n public boolean equals(Object o) {\n if (this == o) {\n return true;\n }\n if (o == null || getClass() != o.getClass()) {\n return false;\n }\n\n Pair pair = (Pair) o;\n\n if (first != null ? !first.equals(pair.first) : pair.first != null) {\n return false;\n }\n if (second != null ? !second.equals(pair.second) : pair.second != null) {\n return false;\n }\n\n return true;\n }\n\n\n public int hashCode() {\n int result = first != null ? first.hashCode() : 0;\n result = 31 * result + (second != null ? second.hashCode() : 0);\n return result;\n }\n\n }\n\n static class IntegerUtils {\n\n public static int pow(long x, long y, int mod) {\n x %= mod;\n long res = 1;\n while (y > 0) {\n if (y % 2 == 1) {\n --y;\n res = (res * x) % mod;\n } else {\n y /= 2;\n x = (x * x) % mod;\n }\n }\n return (int) (res % mod);\n }\n\n }\n\n static class Assert {\n\n public static void assertTrue(boolean flag) {\n // if (!flag)\n // while (true);\n if (!flag) {\n throw new AssertionError();\n }\n }\n\n }\n}\n\n", "python": "import sys\nreadline = sys.stdin.readline\n\nMOD = 10**9+7\ndef compress(L):\n L2 = list(set(L))\n L2.sort()\n C = {v : k for k, v in enumerate(L2)}\n return L2, C\n\nN = int(readline())\nheight = [0]\nH = list(map(int, readline().split()))\nheight.extend(H)\n\norih, C = compress(height)\n\nL = len(orih)\n\ndp = [0]*L\ndp[0] = 1\n\nphidx = 0\nfor i in range(1, N+1):\n hidx = C[H[i-1]]\n dp2 = [0]*L\n if phidx >= hidx:\n for h in range(hidx+1):\n dp2[h] = (dp[hidx]+dp[h])%MOD\n else:\n if phidx == 0:\n dp2[0] = pow(2, orih[hidx])%MOD\n for h in range(1, hidx+1):\n dp2[h] = pow(2, orih[hidx]-orih[h]+1, MOD)\n else:\n for h in range(hidx+1):\n dp2[h] = (dp[phidx] + dp[min(phidx, h)])*pow(2, orih[hidx]-orih[max(h, phidx)], MOD)%MOD\n dp = dp2[:]\n phidx = hidx\n #print(dp)\nprint(dp[0])\n \n" }
p03457 AtCoder Beginner Contest 086 - Traveling
AtCoDeer the deer is going on a trip in a two-dimensional plane. In his plan, he will depart from point (0, 0) at time 0, then for each i between 1 and N (inclusive), he will visit point (x_i,y_i) at time t_i. If AtCoDeer is at point (x, y) at time t, he can be at one of the following points at time t+1: (x+1,y), (x-1,y), (x,y+1) and (x,y-1). Note that he cannot stay at his place. Determine whether he can carry out his plan. Constraints * 1 ≤ N ≤ 10^5 * 0 ≤ x_i ≤ 10^5 * 0 ≤ y_i ≤ 10^5 * 1 ≤ t_i ≤ 10^5 * t_i < t_{i+1} (1 ≤ i ≤ N-1) * All input values are integers. Input Input is given from Standard Input in the following format: N t_1 x_1 y_1 t_2 x_2 y_2 : t_N x_N y_N Output If AtCoDeer can carry out his plan, print `Yes`; if he cannot, print `No`. Examples Input 2 3 1 2 6 1 1 Output Yes Input 1 2 100 100 Output No Input 2 5 1 1 100 1 1 Output No
[ { "input": { "stdin": "2\n3 1 2\n6 1 1" }, "output": { "stdout": "Yes" } }, { "input": { "stdin": "2\n5 1 1\n100 1 1" }, "output": { "stdout": "No" } }, { "input": { "stdin": "1\n2 100 100" }, "output": { "stdout": "No" } }, { "input": { "stdin": "1\n8 110 110" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n7 2 1\n011 1 1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n7 110 101" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-3 4 1\n111 4 -1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-2 4 2\n101 4 2" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n2 1 1\n100 1 1" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "1\n1 010 010" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n5 2 3\n100 0 0" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "1\n1 000 010" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n4 2 1\n001 1 1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n2 1 1\n100 2 1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n3 100 101" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n1 111 110" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n2 001 000" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n1 110 101" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-2 4 0\n111 4 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n1 110 001" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-3 4 1\n111 4 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n5 1 1\n111 1 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n5 2 2\n100 1 -1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n6 2 1\n011 1 1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-2 1 2\n101 4 2" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n2 110 000" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n5 2 1\n100 1 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-3 4 0\n111 4 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n4 111 101" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n0 010 011" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n5 1 1\n101 1 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n4 111 100" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n6 100 001" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-2 4 8\n111 4 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n2 1 1\n101 2 1" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "2\n4 2 1\n001 1 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n-2 1 2\n001 4 2" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n0 010 000" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n3 2 1\n011 1 1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n4 001 100" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n4 011 000" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n7 1 1\n100 1 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n6 100 011" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n1 110 000" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n7 2 1\n001 1 1" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n0 011 001" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n3 110 111" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n7 110 111" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2\n5 2 4\n100 0 0" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1\n4 111 000" }, "output": { "stdout": "No\n" } } ]
{ "tags": [], "title": "p03457 AtCoder Beginner Contest 086 - Traveling" }
{ "cpp": "#include<bits/stdc++.h>\nusing namespace std;\nint n,t[1000000],x[1000000],y[1000000];\nint main(){\n\tint i,j;\n\tcin>>n;\n\tfor(i=1;i<=n;i++){\n\t\tcin>>t[i]>>x[i]>>y[i];\n\t}\n\tfor(i=1;i<=n;i++){\n\t\tint dt=t[i]-t[i-1];\n\t\tdt-=abs(x[i]-x[i-1]);\n\t\tdt-=abs(y[i]-y[i-1]);\n\t\tif(dt<0||dt%2){\n\t\t\tcout<<\"No\"<<endl;\n\t\t\treturn 0;\n\t\t}\n\t}\n\tcout<<\"Yes\"<<endl;\n}", "java": "import java.util.*;\nimport java.math.RoundingMode;\nimport java.math.BigDecimal;\n \n \n \npublic class Main{\n\tpublic static void main (String[] args){\n\t\tScanner sc = new Scanner(System.in);\n\t\tint n = sc.nextInt();\n\t\tint[] t = new int[n];\n\t\tint[] x = new int[n];\n\t\tint[] y = new int[n];\n\t\tfor(int i = 0; i < n; i++) {\n\t\t\tt[i] = sc.nextInt();\n\t\t\tx[i] = sc.nextInt();\n\t\t\ty[i] = sc.nextInt();\n\t\t}\n\t\tboolean able = true;\n\t\tif((x[0]+y[0])<=t[0]&&(x[0]+y[0])%2==t[0]%2) {\n\t\t\tfor(int i = 1; i < n; i++) {\n\t\t\t\tlong d = Math.abs(x[i]-x[i-1])+Math.abs(y[i]-y[i-1]);\n\t\t\t\tlong time = t[i]-t[i-1];\n\t\t\t\tif(d<=time&&d%2==time%2) {\n\t\t\t\t\tcontinue;\n\t\t\t\t}\n\t\t\t\telse {\n\t\t\t\t\table = false;\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t}\n\t\t\tSystem.out.println(able ? \"Yes\":\"No\");\n\t\t}\n\t\telse System.out.println(\"No\");\n\t}\n}", "python": "n=int(input())\nt0=0\nx0=0\ny0=0\nok=True\nfor i in range(n):\n t1,x1,y1=map(int,input().split())\n c=t1-t0-x1+x0-y1+y0\n if c<0 or c%2==1:\n ok=False\n break\nprint('Yes' if ok else 'No')" }
p03618 AtCoder Grand Contest 019 - Reverse and Compare
You have a string A = A_1 A_2 ... A_n consisting of lowercase English letters. You can choose any two indices i and j such that 1 \leq i \leq j \leq n and reverse substring A_i A_{i+1} ... A_j. You can perform this operation at most once. How many different strings can you obtain? Constraints * 1 \leq |A| \leq 200,000 * A consists of lowercase English letters. Input Input is given from Standard Input in the following format: A Output Print the number of different strings you can obtain by reversing any substring in A at most once. Examples Input aatt Output 5 Input xxxxxxxxxx Output 1 Input abracadabra Output 44
[ { "input": { "stdin": "xxxxxxxxxx" }, "output": { "stdout": "1" } }, { "input": { "stdin": "aatt" }, "output": { "stdout": "5" } }, { "input": { "stdin": "abracadabra" }, "output": { "stdout": "44" } }, { "input": { "stdin": "yxxxwxxzxw" }, "output": { "stdout": "30\n" } }, { "input": { "stdin": "aarqabdaacb" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "wxzxxxxxwz" }, "output": { "stdout": "29\n" } }, { "input": { "stdin": "bcbacbarqba" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "bbaadbarqba" }, "output": { "stdout": "44\n" } }, { "input": { "stdin": "zyxwyzxxxw" }, "output": { "stdout": "37\n" } }, { "input": { "stdin": "aaradadabqa" }, "output": { "stdout": "40\n" } }, { "input": { "stdin": "vxzxxwxxxy" }, "output": { "stdout": "31\n" } }, { "input": { "stdin": "xywxxxxxxx" }, "output": { "stdout": "18\n" } }, { "input": { "stdin": "adqfagccboe" }, "output": { "stdout": "54\n" } }, { "input": { "stdin": "arbadbcbrca" }, "output": { "stdout": "48\n" } }, { "input": { "stdin": "aqbadacarba" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "abracadabqa" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "yxxxxyxxxx" }, "output": { "stdout": "17\n" } }, { "input": { "stdin": "bcaadbaqraa" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "wxzxxxwxxz" }, "output": { "stdout": "29\n" } }, { "input": { "stdin": "arbbdbcaqba" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "abracbdabra" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "tata" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "bcaadaaqrab" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "yxzxxwwxxw" }, "output": { "stdout": "33\n" } }, { "input": { "stdin": "arbadbcarab" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "zxxwxxxzwx" }, "output": { "stdout": "29\n" } }, { "input": { "stdin": "bdcpceaqbbe" }, "output": { "stdout": "51\n" } }, { "input": { "stdin": "abqrabdaacb" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "brbadbcaraa" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "arbadbcbrba" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "wxzxxxxxxy" }, "output": { "stdout": "25\n" } }, { "input": { "stdin": "bbaarsbbbac" }, "output": { "stdout": "43\n" } }, { "input": { "stdin": "fdapbbapdce" }, "output": { "stdout": "52\n" } }, { "input": { "stdin": "aasqabdaacb" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "aatu" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "zxxwyxxzxw" }, "output": { "stdout": "34\n" } }, { "input": { "stdin": "wxxxxxxxxy" }, "output": { "stdout": "18\n" } }, { "input": { "stdin": "wxyxxxyxxx" }, "output": { "stdout": "24\n" } }, { "input": { "stdin": "yxxxxxxxxx" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "absqabdaacb" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "xxwxxxxxxx" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "abracbdbbra" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "arbadbcbsca" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "aarrabdaacb" }, "output": { "stdout": "44\n" } }, { "input": { "stdin": "aarcabdabra" }, "output": { "stdout": "44\n" } }, { "input": { "stdin": "braadbcarba" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "wxzxxxxxwy" }, "output": { "stdout": "30\n" } }, { "input": { "stdin": "yyxxxxxxxw" }, "output": { "stdout": "24\n" } }, { "input": { "stdin": "wwzwyxxxxy" }, "output": { "stdout": "36\n" } }, { "input": { "stdin": "abrrabdaacb" }, "output": { "stdout": "46\n" } } ]
{ "tags": [], "title": "p03618 AtCoder Grand Contest 019 - Reverse and Compare" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = 2e5 + 7;\n\nchar s[N];\nint num[100];\n\nint main(){\n\tscanf(\"%s\", s);\n\tint n = strlen(s);\n\tlong long ans = 1;\n\tfor (int i = 0; i < n; i++){\n\t\tans += i - num[s[i] - 'a'];\n\t\tnum[s[i] - 'a']++;\n\t}\n\tprintf(\"%lld\", ans);\n\treturn 0;\n}", "java": "\nimport java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.InputStreamReader;\nimport java.io.OutputStream;\nimport java.io.PrintWriter;\nimport java.util.InputMismatchException;\nimport java.util.StringTokenizer;\n\npublic class Main {\n\n\tpublic static void main(String[] args) throws IOException {\n\t\tInputStream inputStream = System.in;\n\t\tOutputStream outputStream = System.out;\n\t\tInputReader in = new InputReader(inputStream);\n\t\tPrintWriter out = new PrintWriter(outputStream);\n\t\tTaskX solver = new TaskX();\n\t\tsolver.solve(1, in, out);\n\t\tout.close();\n\t}\n\n\tstatic int INF = 1 << 30;\n\tstatic int MOD = 1000000007;\n\tstatic int[] mh4 = { 0, -1, 1, 0 };\n\tstatic int[] mw4 = { -1, 0, 0, 1 };\n\n\tstatic class TaskX {\n\t\tpublic void solve(int testNumber, InputReader in, PrintWriter out) {\n\n\t\t\tchar[] s = in.nextString().toCharArray();\n\t\t\tint len = s.length;\n\t\t\tint[] count = new int[26];\n\n\t\t\tfor (int i = 0; i < len; i++) {\n\t\t\t\tcount[s[i]-'a']++;\n\t\t\t}\n\n\t\t\tlong ans = 1;\n\t\t\tint tmpLen = len;\n\t\t\tfor (int i = 0; i < len; i++) {\n\t\t\t\tans += tmpLen - count[s[i]-'a'];\n\t\t\t\ttmpLen--;\n\t\t\t\tcount[s[i]-'a']--;\n\t\t\t}\n\n\t\t\tout.println(ans);\n\n\t\t}\n\t}\n\n\tstatic class InputReader {\n\t\tBufferedReader in;\n\t\tStringTokenizer tok;\n\n\t\tpublic String nextString() {\n\t\t\twhile (!tok.hasMoreTokens()) {\n\t\t\t\ttry {\n\t\t\t\t\ttok = new StringTokenizer(in.readLine(), \" \");\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn tok.nextToken();\n\t\t}\n\n\t\tpublic int nextInt() {\n\t\t\treturn Integer.parseInt(nextString());\n\t\t}\n\n\t\tpublic long nextLong() {\n\t\t\treturn Long.parseLong(nextString());\n\t\t}\n\n\t\tpublic double nextDouble() {\n\t\t\treturn Double.parseDouble(nextString());\n\t\t}\n\n\t\tpublic int[] nextIntArray(int n) {\n\t\t\tint[] res = new int[n];\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\tres[i] = nextInt();\n\t\t\t}\n\t\t\treturn res;\n\t\t}\n\n\t\tpublic long[] nextLongArray(int n) {\n\t\t\tlong[] res = new long[n];\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\tres[i] = nextLong();\n\t\t\t}\n\t\t\treturn res;\n\t\t}\n\n\t\tpublic InputReader(InputStream inputStream) {\n\t\t\tin = new BufferedReader(new InputStreamReader(inputStream));\n\t\t\ttok = new StringTokenizer(\"\");\n\t\t}\n\n\t}\n\n}\n", "python": "from collections import Counter\ns = input()\nans = len(s)*(len(s)+1)//2\ns = Counter(s)\n\nfor _, val in s.items():\n ans -= val*(val+1)//2\n\nans += 1\nprint(ans)\n" }
p03776 AtCoder Beginner Contest 057 - Maximum Average Sets
You are given N items. The value of the i-th item (1 \leq i \leq N) is v_i. Your have to select at least A and at most B of these items. Under this condition, find the maximum possible arithmetic mean of the values of selected items. Additionally, find the number of ways to select items so that the mean of the values of selected items is maximized. Constraints * 1 \leq N \leq 50 * 1 \leq A,B \leq N * 1 \leq v_i \leq 10^{15} * Each v_i is an integer. Input The input is given from Standard Input in the following format: N A B v_1 v_2 ... v_N Output Print two lines. The first line should contain the maximum possible arithmetic mean of the values of selected items. The output should be considered correct if the absolute or relative error is at most 10^{-6}. The second line should contain the number of ways to select items so that the mean of the values of selected items is maximized. Examples Input 5 2 2 1 2 3 4 5 Output 4.500000 1 Input 4 2 3 10 20 10 10 Output 15.000000 3 Input 5 1 5 1000000000000000 999999999999999 999999999999998 999999999999997 999999999999996 Output 1000000000000000.000000 1
[ { "input": { "stdin": "4 2 3\n10 20 10 10" }, "output": { "stdout": "15.000000\n3" } }, { "input": { "stdin": "5 1 5\n1000000000000000 999999999999999 999999999999998 999999999999997 999999999999996" }, "output": { "stdout": "1000000000000000.000000\n1" } }, { "input": { "stdin": "5 2 2\n1 2 3 4 5" }, "output": { "stdout": "4.500000\n1" } }, { "input": { "stdin": "2 2 12\n0 38 11 6" }, "output": { "stdout": "24.50000000\n1\n" } }, { "input": { "stdin": "4 4 4\n12 39 5 10" }, "output": { "stdout": "16.50000000\n1\n" } }, { "input": { "stdin": "4 1 12\n16 34 0 10" }, "output": { "stdout": "34.00000000\n1\n" } }, { "input": { "stdin": "-1 2 21\n2 15 5 -1" }, "output": { "stdout": "10.00000000\n1\n" } }, { "input": { "stdin": "4 2 6\n10 28 10 10" }, "output": { "stdout": "19.00000000\n3\n" } }, { "input": { "stdin": "3 1 1\n16 6 29 4" }, "output": { "stdout": "29.00000000\n1\n" } }, { "input": { "stdin": "4 2 6\n19 42 2 10" }, "output": { "stdout": "30.50000000\n1\n" } }, { "input": { "stdin": "4 3 3\n10 20 10 11" }, "output": { "stdout": "13.66666667\n2\n" } }, { "input": { "stdin": "2 2 2\n1 0 17 12 -1" }, "output": { "stdout": "14.50000000\n1\n" } }, { "input": { "stdin": "0 2 13\n2 35 15 -1" }, "output": { "stdout": "25.00000000\n1\n" } }, { "input": { "stdin": "2 2 2\n1 0 9 12 -1" }, "output": { "stdout": "10.50000000\n1\n" } }, { "input": { "stdin": "4 1 6\n8 28 16 10" }, "output": { "stdout": "28.00000000\n1\n" } }, { "input": { "stdin": "2 3 12\n-1 5 11 1" }, "output": { "stdout": "5.66666667\n1\n" } }, { "input": { "stdin": "5 2 2\n2 2 3 2 0" }, "output": { "stdout": "2.50000000\n3\n" } }, { "input": { "stdin": "4 2 6\n2 20 7 5" }, "output": { "stdout": "13.50000000\n1\n" } }, { "input": { "stdin": "4 2 6\n2 20 11 4" }, "output": { "stdout": "15.50000000\n1\n" } }, { "input": { "stdin": "4 2 4\n7 39 10 10" }, "output": { "stdout": "24.50000000\n2\n" } }, { "input": { "stdin": "4 3 3\n2 20 10 11" }, "output": { "stdout": "13.66666667\n1\n" } }, { "input": { "stdin": "4 3 6\n0 20 11 3" }, "output": { "stdout": "11.33333333\n1\n" } }, { "input": { "stdin": "3 2 6\n4 77 10 10" }, "output": { "stdout": "43.50000000\n2\n" } }, { "input": { "stdin": "4 2 6\n8 30 16 10" }, "output": { "stdout": "23.00000000\n1\n" } }, { "input": { "stdin": "4 2 6\n0 24 10 4" }, "output": { "stdout": "17.00000000\n1\n" } }, { "input": { "stdin": "4 3 6\n10 20 8 10" }, "output": { "stdout": "13.33333333\n1\n" } }, { "input": { "stdin": "4 2 2\n-1 0 11 0" }, "output": { "stdout": "5.50000000\n2\n" } }, { "input": { "stdin": "5 2 2\n1 4 4 4 1" }, "output": { "stdout": "4.00000000\n3\n" } }, { "input": { "stdin": "0 2 6\n6 72 2 7" }, "output": { "stdout": "39.50000000\n1\n" } }, { "input": { "stdin": "4 3 4\n12 77 0 10" }, "output": { "stdout": "33.00000000\n1\n" } }, { "input": { "stdin": "5 2 2\n1 0 3 3 -1" }, "output": { "stdout": "3.00000000\n1\n" } }, { "input": { "stdin": "5 2 2\n1 2 3 4 2" }, "output": { "stdout": "3.50000000\n1\n" } }, { "input": { "stdin": "1 2 6\n10 71 2 7" }, "output": { "stdout": "40.50000000\n1\n" } }, { "input": { "stdin": "4 2 6\n10 20 10 10" }, "output": { "stdout": "15.00000000\n3\n" } }, { "input": { "stdin": "4 2 6\n10 20 10 5" }, "output": { "stdout": "15.00000000\n2\n" } }, { "input": { "stdin": "0 2 14\n1 39 15 -1" }, "output": { "stdout": "27.00000000\n1\n" } }, { "input": { "stdin": "2 2 6\n0 2 11 3" }, "output": { "stdout": "7.00000000\n1\n" } }, { "input": { "stdin": "2 2 2\n1 0 6 5 -1" }, "output": { "stdout": "5.50000000\n1\n" } }, { "input": { "stdin": "4 2 6\n5 28 6 10" }, "output": { "stdout": "19.00000000\n1\n" } }, { "input": { "stdin": "2 2 6\n0 2 0 3" }, "output": { "stdout": "2.50000000\n1\n" } }, { "input": { "stdin": "4 3 6\n2 20 11 4" }, "output": { "stdout": "11.66666667\n1\n" } }, { "input": { "stdin": "2 2 6\n0 20 21 3" }, "output": { "stdout": "20.50000000\n1\n" } }, { "input": { "stdin": "2 1 6\n2 20 20 5" }, "output": { "stdout": "20.00000000\n3\n" } }, { "input": { "stdin": "4 2 6\n10 3 2 7" }, "output": { "stdout": "8.50000000\n1\n" } }, { "input": { "stdin": "-1 2 13\n1 20 5 -1" }, "output": { "stdout": "12.50000000\n1\n" } }, { "input": { "stdin": "4 2 3\n0 20 68 4" }, "output": { "stdout": "44.00000000\n1\n" } }, { "input": { "stdin": "1 2 10\n2 41 10 4" }, "output": { "stdout": "25.50000000\n1\n" } }, { "input": { "stdin": "4 3 6\n10 20 10 10" }, "output": { "stdout": "13.33333333\n3\n" } }, { "input": { "stdin": "5 2 2\n1 2 3 5 5" }, "output": { "stdout": "5.00000000\n1\n" } }, { "input": { "stdin": "4 3 6\n0 24 10 4" }, "output": { "stdout": "12.66666667\n1\n" } } ]
{ "tags": [], "title": "p03776 AtCoder Beginner Contest 057 - Maximum Average Sets" }
{ "cpp": "#include<bits/stdc++.h>\nusing namespace std;\nlong long comb(long long x,long long y){\n long long z = 1;\n for(long long i=0;i<y;i++) z = z*(x-i)/(i+1);\n return z;\n}\nint main(){\n cout << fixed << setprecision(10);\n long long n,a,b,i,ans = 0,al,c = 0;cin >> n >> a >> b;\n long long v[n];\n for(i=0;i<n;i++) cin >> v[i];\n sort(v,v+n,greater<long long>());\n for(i=0;i<a;i++) ans += v[i];\n cout << double(ans)/a << \"\\n\";\n ans = 0;al = count(v,v+n,v[a-1]);\n for(i=0;i<a;i++) c += (v[i]==v[a-1]);\n ans += comb(al,c);\n if(v[0] != v[a-1]){\n cout << ans << \"\\n\";return 0;\n }\n for(i=a;i<b;i++){\n if(v[i]==v[a-1]){\n c++;ans += comb(al,c);\n } else break;\n }\n cout << ans << \"\\n\";\n return 0;\n}", "java": "import java.io.BufferedReader;\nimport java.io.Closeable;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.InputStreamReader;\nimport java.util.Arrays;\nimport java.util.Collections;\nimport java.util.HashSet;\nimport java.util.LinkedList;\nimport java.util.Scanner;\nimport java.util.StringTokenizer;\nimport java.util.TreeMap;\n\npublic class Main {\n\t\n\tpublic static void main(String[] args) throws IOException {\n\t\tfinal Scanner sc = new Scanner(System.in);\n\t\t\n\t\tfinal int N = sc.nextInt();\n\t\tfinal int A = sc.nextInt();\n\t\tfinal int B = sc.nextInt();\n\t\t\n\t\tlong[] vs = new long[N];\n\t\tfor(int i = 0; i < N; i++){\n\t\t\tfinal long v = sc.nextLong();\n\t\t\tvs[i] = v;\n\t\t}\n\t\t\n\t\tTreeMap<Long, Integer> counts = new TreeMap<Long, Integer>(Collections.reverseOrder());\n\t\tfor(final long v : vs){\n\t\t\tif(!counts.containsKey(v)){\n\t\t\t\tcounts.put(v, 0);\n\t\t\t}\n\t\t\tcounts.put(v, counts.get(v) + 1);\n\t\t}\n\t\t\n\t\tlong[][] comp = new long[N + 1][N + 1];\n\t\tcomp[0][0] = 1;\n\t\tfor(int i = 0; i < N; i++){\n\t\t\tfor(int j = 0; j <= i; j++){\n\t\t\t\tcomp[i + 1][j] += comp[i][j];\n\t\t\t\tcomp[i + 1][j + 1] += comp[i][j];\n\t\t\t}\n\t\t}\n\t\t\n\t\tint rest_A = A;\n\t\tint rest_B = B;\n\t\tlong sum = 0;\n\t\tfor(final long v : counts.keySet()){\n\t\t\tfinal int count = counts.get(v);\n\t\t\t\n\t\t\tif(count <= rest_A){\n\t\t\t\tsum += v * count;\n\t\t\t\trest_A -= count;\n\t\t\t\trest_B -= count;\n\t\t\t}else{\n\t\t\t\tif(sum == 0){\n\t\t\t\t\tSystem.out.println(v);\n\t\t\t\t\tlong opt = 0;\n\t\t\t\t\t\n\t\t\t\t\tfor(int i = rest_A; i <= Math.min(rest_B, count); i++){\n\t\t\t\t\t\topt += comp[count][i];\n\t\t\t\t\t}\n\t\t\t\t\t\n\t\t\t\t\tSystem.out.println(opt);\n\t\t\t\t\treturn;\n\t\t\t\t}else{\n\t\t\t\t\tsum += v * rest_A;\n\t\t\t\t\tSystem.out.printf(\"%.08f\\n\", sum / (double)(A));\n\t\t\t\t\tSystem.out.println(comp[count][rest_A]);\n\t\t\t\t\treturn;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t}\n\t\n\tpublic static class Scanner implements Closeable {\n\t\tprivate BufferedReader br;\n\t\tprivate StringTokenizer tok;\n \n\t\tpublic Scanner(InputStream is) throws IOException {\n\t\t\tbr = new BufferedReader(new InputStreamReader(is));\n\t\t}\n \n\t\tprivate void getLine() throws IOException {\n\t\t\twhile (!hasNext()) {\n\t\t\t\ttok = new StringTokenizer(br.readLine());\n\t\t\t}\n\t\t}\n \n\t\tprivate boolean hasNext() {\n\t\t\treturn tok != null && tok.hasMoreTokens();\n\t\t}\n \n\t\tpublic String next() throws IOException {\n\t\t\tgetLine();\n\t\t\treturn tok.nextToken();\n\t\t}\n \n\t\tpublic int nextInt() throws IOException {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n \n\t\tpublic long nextLong() throws IOException {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n \n\t\tpublic double nextDouble() throws IOException {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\t\t\n\t\tpublic int[] nextIntArray(int n) throws IOException {\n\t\t\tfinal int[] ret = new int[n];\n\t\t\tfor(int i = 0; i < n; i++){\n\t\t\t\tret[i] = this.nextInt();\n\t\t\t}\n\t\t\treturn ret;\n\t\t}\n\t\t\n\t\tpublic long[] nextLongArray(int n) throws IOException {\n\t\t\tfinal long[] ret = new long[n];\n\t\t\tfor(int i = 0; i < n; i++){\n\t\t\t\tret[i] = this.nextLong();\n\t\t\t}\n\t\t\treturn ret;\n\t\t}\n \n\t\tpublic void close() throws IOException {\n\t\t\tbr.close();\n\t\t}\n\t}\n}", "python": "def pscl(num,l=[1]):\n for i in range(num):\n l = map(lambda x,y:x+y,[0]+l,l+[0])\n return l\n\nn,a,b=map(int,raw_input().split())\nv=[int(i) for i in raw_input().split()]\nchk=[i for i in set(v)]\nchk.sort()\nif len(chk)==1:\n print chk[0]*1.0\n print sum(pscl(n)[a:b+1])\n exit()\nd={}\nfor i in v:\n if i in d:\n d[i]+=1\n else:\n d[i]=1\ntotal=ans=tmp=0\nt=a\nfor p,i in enumerate(chk[::-1]):\n if d[i]<t:\n total=total+i*d[i]\n t=t-d[i]\n elif p==0 and d[i]>=t:\n print i*1.0\n print sum(pscl(d[i])[a:min(b,d[i])+1])\n break\n else:\n total=total+i*t\n print total*1.0/a\n print pscl(d[i])[t]\n break" }
p03945 AtCoder Beginner Contest 047 - 1D Reversi
Two foxes Jiro and Saburo are playing a game called 1D Reversi. This game is played on a board, using black and white stones. On the board, stones are placed in a row, and each player places a new stone to either end of the row. Similarly to the original game of Reversi, when a white stone is placed, all black stones between the new white stone and another white stone, turn into white stones, and vice versa. In the middle of a game, something came up and Saburo has to leave the game. The state of the board at this point is described by a string S. There are |S| (the length of S) stones on the board, and each character in S represents the color of the i-th (1 ≦ i ≦ |S|) stone from the left. If the i-th character in S is `B`, it means that the color of the corresponding stone on the board is black. Similarly, if the i-th character in S is `W`, it means that the color of the corresponding stone is white. Jiro wants all stones on the board to be of the same color. For this purpose, he will place new stones on the board according to the rules. Find the minimum number of new stones that he needs to place. Constraints * 1 ≦ |S| ≦ 10^5 * Each character in S is `B` or `W`. Input The input is given from Standard Input in the following format: S Output Print the minimum number of new stones that Jiro needs to place for his purpose. Examples Input BBBWW Output 1 Input WWWWWW Output 0 Input WBWBWBWBWB Output 9
[ { "input": { "stdin": "WWWWWW" }, "output": { "stdout": "0" } }, { "input": { "stdin": "WBWBWBWBWB" }, "output": { "stdout": "9" } }, { "input": { "stdin": "BBBWW" }, "output": { "stdout": "1" } }, { "input": { "stdin": "WXVWWW" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "AWBXB" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "WZWWVW" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "XWVWVX" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "WVWWWY" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "WWBBBWBWBW" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "BWDWWXACAX" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "BYBVD" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "BCWAWCAVWX" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "AVCYB" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "BABAXWWDVZ" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "BACAXWWDVZ" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "YWWWVW" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "BBBAXWXDVZ" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "WWXVXW" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "WWBBBWBWBV" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "XWCADWAXWB" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "XWZWWV" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "WWABB" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "ZVDXWXABBB" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "XWBBCWBWBV" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "XWVACWAXCB" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "VWWWZX" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "DVBYB" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "BYCVA" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "BWBADBXXV[" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "BXCVA" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "AWCXB" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "XWWUWW" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "BVDWWXACAY" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "BYBVE" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "BXBBW" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "DZBVD" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "WWUVWX" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "WWBBB" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "WVWWWX" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "ZVDWWXACAB" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "WVWWWZ" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "ZACAXWWDVB" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "BBAWW" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "XWWADWAXCB" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "ZWWWUW" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "WXUXWW" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "XWVUWW" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "XWXUWW" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "VWWWXW" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "WXVVWW" }, "output": { "stdout": "3\n" } } ]
{ "tags": [], "title": "p03945 AtCoder Beginner Contest 047 - 1D Reversi" }
{ "cpp": "#include<bits/stdc++.h>\nusing namespace std;\nstring s;\nint ans;\n\nint main(){\n\tcin>>s;\n\tint len=s.size();\n\tfor(int i=1;i<len;i++)\n\t\tif(s[i]!=s[i-1])\n\t\t\tans++;\n\tcout<<ans<<endl;\n\treturn 0;\n}", "java": "import java.util.Scanner;\n\npublic class Main {\n\t\n\tpublic static void main(String[] args) {\n\t\tScanner scan = new Scanner(System.in);\n\t\tString s = scan.next();\n\t\tchar[] c = new char[s.length()];\n\t\tfor (int i = 0; i < s.length(); i++) {\n\t\t\tc[i] = s.charAt(i);\n\t\t}\n\t\tint count = 0;\n\t\tfor (int i = 1; i < s.length(); i++) {\n\t\t\tif (c[i] != c[i-1]) {\n\t\t\t\tcount++;\n\t\t\t}\n\t\t}\n\t\tSystem.out.println(count);\n\t}\n}\n", "python": "from itertools import groupby\n\n\ns = input()\ng = list(groupby(s))\nprint(len(g) - 1)" }
AIZU/p00037
# Path on a Grid Seen from above, there is a grid-like square shaped like Figure 1. The presence or absence of "walls" on each side of this grid is represented by a sequence of 0s and 1s. Create a program that stands at point A, puts your right hand on the wall, keeps walking in the direction of the arrow, and outputs the route to return to point A again. <image> --- Figure 1 --- Input The input consists of 9 lines and is given in the following format, with 1 being the presence of a wall and 0 being the absence of a wall, as shown in Figure 2 below. The first line is a character string that indicates the presence or absence of the top horizontal line wall as 0 and 1 from the left. The second line is a character string that indicates the presence or absence of the vertical line wall below it with 0 and 1 from the left. The third line is a character string that indicates the presence or absence of the wall of the second horizontal line from the top by 0 and 1 from the left. ... The 9th line is a character string representing the presence or absence of the bottom horizontal line wall with 0 and 1 from the left. <image> --- Figure 2 (Thick line shows where the wall is) (corresponding numbers) However, as shown by the thick line in Fig. 1, it is assumed that there is always a wall for one section to the right of point A. That is, the first character on the first line is always 1. Output "Advance one section to the left of the figure" is "L", "Advance one section to the right of the figure" is "R", "Advance one section to the top of the figure" is "U", "Figure" "Advance one block downward" is represented by "D", and "L", "R", "U", and "D" are output in the order of advance. Example Input 1111 00001 0110 01011 0010 01111 0010 01001 0111 Output RRRRDDDDLLLUUURRDDLURULLDDDRRRUUUULLLL
[ { "input": { "stdin": "1111\n00001\n0110\n01011\n0010\n01111\n0010\n01001\n0111" }, "output": { "stdout": "RRRRDDDDLLLUUURRDDLURULLDDDRRRUUUULLLL" } }, { "input": { "stdin": "1111\n00110\n0011\n00111\n1111\n01011\n1110\n00110\n1101" }, "output": { "stdout": "RRRRLDRDDULDDRLULDLLRRULLRULRRUULL\n" } }, { "input": { "stdin": "1111\n00001\n0110\n11101\n1010\n00011\n1110\n11011\n1111" }, "output": { "stdout": "RRRRDDDDLLLLURRRULULDLUDRURRLDRDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n00001\n1111\n11110\n1000\n01110\n1101\n10001\n1110" }, "output": { "stdout": "RRRRDLDDRDULUULDDLLDRRRLLLURULURRRRULLLL\n" } }, { "input": { "stdin": "1111\n00010\n1101\n11010\n1011\n01110\n1110\n00101\n1110" }, "output": { "stdout": "RRRRLDRLDRLDLDRLLLRRULLRULURRLDDRURUULLL\n" } }, { "input": { "stdin": "1111\n00110\n0011\n00110\n0111\n01011\n1110\n00110\n1101" }, "output": { "stdout": "RRRRLDRLDRDULDDRLULDLLRRULLRURUULL\n" } }, { "input": { "stdin": "1111\n00001\n0110\n01011\n0010\n01111\n1010\n01011\n0111" }, "output": { "stdout": "RRRRDDDDLLLULRUURRDDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n00000\n1110\n11110\n1000\n01110\n1101\n10001\n1110" }, "output": { "stdout": "RRRRLLLL\n" } }, { "input": { "stdin": "1111\n00110\n0011\n00110\n1001\n01011\n1110\n00110\n0101" }, "output": { "stdout": "RRRRLDRLDRDULDDRLULDLRULLRULRDRRUULDUULL\n" } }, { "input": { "stdin": "1111\n01110\n0011\n01111\n1000\n10000\n1010\n01011\n1110" }, "output": { "stdout": "RRRRLDRDULDULDUULDDLDRDRRULRDLLLRULURUUL\n" } }, { "input": { "stdin": "1111\n00001\n0110\n11111\n1010\n00011\n1010\n01011\n0111" }, "output": { "stdout": "RRRRDDDDLLLULRDRRULRULULDLUDRURRDDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n10011\n0011\n00110\n0111\n10100\n0110\n00101\n0111" }, "output": { "stdout": "RRRRDLDRLLDRLDRRUDLLLRULRULRURULLL\n" } }, { "input": { "stdin": "1111\n00001\n0110\n01011\n0010\n01111\n0010\n01011\n0111" }, "output": { "stdout": "RRRRDDDDLLLUUURRDDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n00010\n1101\n11000\n1011\n01110\n1110\n00101\n1110" }, "output": { "stdout": "RRRRLDRLULLL\n" } }, { "input": { "stdin": "1111\n00110\n0111\n10110\n1110\n01001\n1110\n00100\n1100" }, "output": { "stdout": "RRRRLDRLDLLDRRLDLLRRULLRULUDRRULRULL\n" } }, { "input": { "stdin": "1111\n00001\n0110\n11111\n1010\n00011\n1010\n01011\n1111" }, "output": { "stdout": "RRRRDDDDLLLLRULRDRRULRULULDLUDRURRDDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n00001\n1011\n11110\n0010\n01110\n1101\n10001\n1110" }, "output": { "stdout": "RRRRDLDDRDULULDLLDRRRLLLURUULDURDDRUURRULLLL\n" } }, { "input": { "stdin": "1111\n00001\n1110\n11110\n1000\n01110\n1101\n10001\n1110" }, "output": { "stdout": "RRRRDULLLL\n" } }, { "input": { "stdin": "1111\n00110\n0111\n00111\n1110\n01011\n1110\n00110\n1101" }, "output": { "stdout": "RRRRLDRDDUULDDDRLULDLLRRULLRULRRULRULL\n" } }, { "input": { "stdin": "1111\n10011\n1011\n00110\n1111\n10100\n0111\n00101\n0111" }, "output": { "stdout": "RRRRDLDRLLDRRDLLLRULRULLDURRURULLL\n" } }, { "input": { "stdin": "1111\n00001\n0010\n11101\n1110\n00111\n1110\n11001\n1111" }, "output": { "stdout": "RRRRDDDDLLLLURRULLUDRUDRURLDRDLLDRRRUUUULLLL\n" } }, { "input": { "stdin": "1111\n10010\n0111\n00000\n0111\n10100\n0110\n00101\n0111" }, "output": { "stdout": "RRRRLDRLLLRRULLL\n" } }, { "input": { "stdin": "1111\n10010\n1001\n00110\n1111\n00100\n0111\n00101\n0111" }, "output": { "stdout": "RRRRLDRLDRLLDRRDLLLRULRULLRRUDRUULLL\n" } }, { "input": { "stdin": "1111\n00110\n0111\n00110\n1110\n01011\n1110\n00110\n1100" }, "output": { "stdout": "RRRRLDRLDDDULDLLRRULLRULRRULRULL\n" } }, { "input": { "stdin": "1111\n01010\n0011\n01111\n1000\n10000\n1010\n01011\n1110" }, "output": { "stdout": "RRRRLDRDULDULDURULLDDLDRDRRULRDLLLRULURUUL\n" } }, { "input": { "stdin": "1111\n00001\n0110\n01111\n1010\n00011\n1010\n01011\n0111" }, "output": { "stdout": "RRRRDDDDLLLULRDRRULRULULDLRURRDDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n10011\n1011\n00110\n1111\n00100\n0111\n00101\n0111" }, "output": { "stdout": "RRRRDLDRLLDRRDLLLRULRULLRRURULLL\n" } }, { "input": { "stdin": "1111\n00001\n0011\n11110\n0110\n01110\n1101\n10001\n1110" }, "output": { "stdout": "RRRRDLDDRDULULDLLDRRRLLLURUUDRURRULLLL\n" } }, { "input": { "stdin": "1111\n10011\n1001\n00110\n1111\n00100\n0111\n00101\n0111" }, "output": { "stdout": "RRRRDLDRLLDRRDLLLRULRULLRRUDRUULLL\n" } }, { "input": { "stdin": "1111\n00001\n0010\n11101\n1010\n00011\n1100\n11011\n1111" }, "output": { "stdout": "RRRRDDDDLLLLURRLDRRUULURLDRDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n00001\n0010\n11001\n1010\n00011\n1100\n11011\n1111" }, "output": { "stdout": "RRRRDDDDLLLLURRLDRRUULRDDRUUUULLLL\n" } }, { "input": { "stdin": "1111\n00110\n0011\n00110\n0011\n01011\n1110\n00110\n1111" }, "output": { "stdout": "RRRRLDRLDRDULDDRLLLLRRULLRUDRRULUULL\n" } }, { "input": { "stdin": "1111\n01001\n0011\n11110\n0110\n00110\n1101\n10001\n1111" }, "output": { "stdout": "RRRRDLDDRDLLLLURRULUUL\n" } }, { "input": { "stdin": "1111\n10010\n1111\n00000\n0111\n10100\n0110\n00101\n0111" }, "output": { "stdout": "RRRRLDRLLLLU\n" } }, { "input": { "stdin": "1111\n00110\n0111\n00110\n1110\n01001\n1110\n00110\n1101" }, "output": { "stdout": "RRRRLDRLDLLDRRDRLULDLLRRULLRULRRULRULL\n" } }, { "input": { "stdin": "1111\n00110\n0011\n00110\n1011\n01011\n1110\n00110\n0111" }, "output": { "stdout": "RRRRLDRLDRDULDDRLLLRULLRULRDRRULUULL\n" } }, { "input": { "stdin": "1111\n01001\n0011\n11110\n0110\n00110\n1100\n10001\n1110" }, "output": { "stdout": "RRRRDLDDULDLLDRRRLLLURRULUUL\n" } }, { "input": { "stdin": "1111\n00001\n0010\n11001\n1110\n00111\n1110\n11001\n1111" }, "output": { "stdout": "RRRRDDDDLLLLURRULLUDRUDRRDLLDRRRUUUULLLL\n" } }, { "input": { "stdin": "1111\n00110\n0011\n00110\n1011\n01011\n1110\n00110\n1111" }, "output": { "stdout": "RRRRLDRLDRDULDDRLLLLRRULLRULRDRRULUULL\n" } }, { "input": { "stdin": "1111\n10011\n1111\n10110\n1110\n01001\n1110\n00100\n1100" }, "output": { "stdout": "RRRRDLDLLDRRLDLLRRULLRULUU\n" } }, { "input": { "stdin": "1111\n00001\n1011\n11110\n1010\n01110\n1101\n10001\n1110" }, "output": { "stdout": "RRRRDLDDRDULULDLLDRRRLLLURULURDDRUURRULLLL\n" } }, { "input": { "stdin": "1111\n00110\n0011\n00111\n0001\n10010\n1110\n00011\n0101" }, "output": { "stdout": "RRRRLDRDLDDRUDLULLLUDRRRUULDUULL\n" } }, { "input": { "stdin": "1111\n10010\n1001\n10110\n1111\n00100\n0111\n00101\n0111" }, "output": { "stdout": "RRRRLDRLDRLLDRRDLLLRULRULLUU\n" } }, { "input": { "stdin": "1111\n00010\n1001\n10110\n1111\n00100\n0111\n00101\n1110" }, "output": { "stdout": "RRRRLDRLDRLLDRRDULLDRLLLRRULRULLURLDRRUDRUULLL\n" } }, { "input": { "stdin": "1111\n00001\n0011\n11110\n0010\n01110\n1101\n10001\n1110" }, "output": { "stdout": "RRRRDLDDRDULULDLLDRRRLLLURUUDDRUURRULLLL\n" } }, { "input": { "stdin": "1111\n00110\n0111\n00111\n1110\n01011\n1110\n00110\n1100" }, "output": { "stdout": "RRRRLDRDDUULDDDULDLLRRULLRULRRULRULL\n" } }, { "input": { "stdin": "1111\n00010\n1101\n11110\n1011\n01110\n1111\n00101\n1110" }, "output": { "stdout": "RRRRLDRLDRLDRDULLDRLLLRRULLRULURRDRUULLL\n" } }, { "input": { "stdin": "1111\n00110\n0011\n00110\n0011\n01011\n1110\n00110\n1101" }, "output": { "stdout": "RRRRLDRLDRDULDDRLULDLLRRULLRUDRRULUULL\n" } }, { "input": { "stdin": "1111\n00001\n0010\n11001\n1010\n00011\n1100\n11001\n1111" }, "output": { "stdout": "RRRRDDDDLLLLURRLDRRRUUUULLLL\n" } }, { "input": { "stdin": "1111\n10110\n0111\n10110\n1110\n01001\n1110\n00100\n1100" }, "output": { "stdout": "RRRRLDRLDLLDRRLDLLRRULLRULUU\n" } } ]
{ "tags": [], "title": "Path on a Grid" }
{ "cpp": "#include<iostream>\n#include<cassert>\n#define REP(i,s,n) for(int i=s;i<n;i++)\n#define rep(i,n) REP(i,0,n)\n#define inf (1<<29)\n#define MAX 100 \nusing namespace std;\n\nstruct You\n{//??????????????????????????§?¨????dx[(dir+1)%4],dy[(dir+1)%4]??????????????´???\n int x,y,dir;\n You(int x=-inf,int y=-inf):x(x),y(y),dir(0){}\n};\n\nchar G[MAX][MAX];\nint dx[] = {+1,+0,-1,+0};\nint dy[] = {+0,+1,+0,-1};\n\nvoid init()\n{\n rep(i,MAX)rep(j,MAX)G[i][j] = '.';\n}\n\nvoid makeGraph()\n{\n string line;\n int x;\n REP(y,1,10)\n {//odd -> yoko, even -> tate\n cin >> line;\n x = (y%2?1:0);\n rep(i,line.size())\n\t{\n\t if(line[i] == '1')\n\t {\n\t G[y][x] = (y%2?'-':'|');\n\t if(y%2) G[y][x-1] = G[y][x+1] = 'o';\n\t else G[y+1][x] = G[y-1][x] = 'o';\n\t }\n\t x += 2;\n\t}\n }\n}\n\nvoid print()\n{\n rep(i,11)\n {\n rep(j,11)\n\t{\n\t cout << G[i][j];\n\t}\n cout << endl;\n }\n cout << endl;\n}\n\nvoid compute()\n{\n You you(0,0);\n bool fir = true;\n while(true)\n {\n int x = you.x,y = you.y,dir = you.dir;\n int hx = x + dx[(dir+1)%4],hy = y + dy[(dir+1)%4];\n if(!fir && hx == 0 && hy == 1)\n\t{\n\t cout << '\\n';\n\t return;\n\t}\n fir = false;\n\n int nx = x + dx[dir],ny = y + dy[dir];\n hx += dx[dir],hy += dy[dir];\n assert(G[ny][nx] != 'o');\n\n if(G[ny][nx] == '|' || G[ny][nx] == '-')\n\t{\n\t dir = (dir + 3)%4;\n\t you.dir = dir;\n\t}\n else if(G[hy][hx] == '.')\n\t{\n\t dir = (dir + 1)%4;\n\t you.x = nx + dx[dir], you.y = ny + dy[dir],you.dir = dir;\t \n\t}\n else if(G[hy][hx] == 'o' || G[hy][hx] == '-' || G[hy][hx] == '|')\n\t{\n\t you.x += dx[dir],you.y += dy[dir];\n\t}\n\n hx = you.x + dx[(dir+1)%4], hy = you.y + dy[(dir+1)%4];\n\n if(G[hy][hx] != 'o')\n\tcout << (dir==0?'R':(dir==1?'D':(dir==2?'L':'U')));\n }\n}\n\nint main()\n{\n init();\n makeGraph();\n compute();\n return 0;\n}", "java": "import java.util.*;\n\n\n\nclass Main {\n\tScanner sc = new Scanner(System.in);\n\n\tpublic void run() {\n\t\twhile(sc.hasNext()){\n\t\t\tchar[][] UD=new char[5][4];\n\t\t\tchar[][] LR=new char[4][5];\n\n\t\t\tfor(int i=0;i<4;i++){\n\t\t\t\tUD[i]=sc.next().toCharArray();\n\t\t\t\tLR[i]=sc.next().toCharArray();\n\t\t\t}\n\t\t\tUD[4]=sc.next().toCharArray();\n\n\t\t\tchar[][][] root=new char[5][5][4];\n\n\t\t\tfor(int i=0;i<5;i++){\n\t\t\t\tfor(int j=0;j<4;j++)\n\t\t\t\t\troot[i][j][0]=UD[i][j];\n\t\t\t\troot[i][4][0]='0';\n\n\t\t\t\tif(i==0){\n\t\t\t\t\tfor(int j=0;j<5;j++)\n\t\t\t\t\t\troot[i][j][1]='0';\n\t\t\t\t}else{\n\t\t\t\t\tfor(int j=0;j<5;j++)\n\t\t\t\t\t\troot[i][j][1]=LR[i-1][j];\n\t\t\t\t}\n\t\t\t\troot[i][0][2]='0';\n\t\t\t\tfor(int j=1;j<5;j++)\n\t\t\t\t\troot[i][j][2]=UD[i][j-1];\n\n\t\t\t\tif(i==4){\n\t\t\t\t\tfor(int j=0;j<5;j++)\n\t\t\t\t\t\troot[i][j][3]='0';\n\t\t\t\t}else{\n\t\t\t\t\tfor(int j=0;j<5;j++)\n\t\t\t\t\t\troot[i][j][3]=LR[i][j];\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tint px=0,py=0;\n\t\t\tint rotate=0;//0 1 2 3\n\t\t\tdo{\n\t\t\t\tfor(int i=4-1;i>=0;i--){\n\t\t\t\t\tint r=(rotate+i+2)%4;\n\t\t\t\t\tif(root[py][px][r]=='1'){\n\t\t\t\t\t\trotate=r;\n\t\t\t\t\t\tswitch(r){\n\t\t\t\t\t\tcase 0:pr(\"R\");px++;break;\n\t\t\t\t\t\tcase 1:pr(\"U\");py--;break;\n\t\t\t\t\t\tcase 2:pr(\"L\");px--;break;\n\t\t\t\t\t\tcase 3:pr(\"D\");py++;break;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tbreak;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}while(!(px==0 && py==0));\n\t\t\tln();\n\t\t}\n\t}\n\n\tpublic static void main(String[] args) {\n\t\tnew Main().run();\n\t}\n\n\tpublic static void pr(Object o) {\n\t\tSystem.out.print(o);\n\t}\n\n\tpublic static void ln(Object o) {\n\t\tSystem.out.println(o);\n\t}\n\n\tpublic static void ln() {\n\t\tSystem.out.println();\n\t}\n}", "python": "def wall(grid,x,y,d):\n if d==0: return x<4 and grid[y*2][x]=='1'\n if d==1: return y<4 and grid[y*2+1][x]=='1'\n if d==2: return x>0 and grid[y*2][x-1]=='1'\n if d==3: return y>0 and grid[y*2-1][x]=='1'\n\ndef move(x,y,d):\n if d==0: return (x+1,y,'R')\n if d==1: return (x,y+1,'D')\n if d==2: return (x-1,y,'L')\n if d==3: return (x,y-1,'U')\n\npath=\"\"\nx=y=d=0\ngrid=[raw_input() for i in range(9)]\nwhile x!=0 or y!=0 or d<2:\n d=(d+3)%4\n while not wall(grid,x,y,d):\n d=(d+1)%4\n (x,y,c)=move(x,y,d)\n path+=c\nprint path" }
AIZU/p00169
# Blackjack Blackjack is a type of card game played in casinos, where the game is played using cards with numbers from 1 to 13. The score of each card is decided as follows. * 1 is 1 point or 11 points * From 2 to 9, the score is as written. * 10 points from 10 to 13 There are several participants in this game, including parents, each with several sets of cards. This set of cards is called a hand. The hand score is the total of the card scores. The calculation shall be performed as follows. * If the total score of the cards is greater than 21, the score of the hand is set to 0. * As the score of the card, 1 may be calculated as 1 point or 11 points, but the one with the maximum hand score shall be selected. Create a program that uses the information of the cards dealt as input and outputs the score of the hand. Input A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. Each dataset is given in the following format: c1 c2 ... cn The integer ci (1 ≤ ci ≤ 13) written on the i-th card is given to each line, separated by blanks. The number of cards n does not exceed 100. The number of datasets does not exceed 200. Output The score of the hand is output to one line for each data set. Example Input 1 7 7 7 7 7 8 12 1 10 1 1 0 Output 11 21 0 21 12
[ { "input": { "stdin": "1\n7 7 7\n7 7 8\n12 1\n10 1 1\n0" }, "output": { "stdout": "11\n21\n0\n21\n12" } }, { "input": { "stdin": "1\n7 7 7\n7 10 8\n2 2\n10 3 2\n0" }, "output": { "stdout": "11\n21\n0\n4\n15\n" } }, { "input": { "stdin": "1\n7 9 7\n7 7 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n0\n0\n13\n13\n" } }, { "input": { "stdin": "1\n7 4 2\n1 9 8\n2 1\n9 2 1\n0" }, "output": { "stdout": "11\n13\n18\n13\n12\n" } }, { "input": { "stdin": "1\n7 4 2\n1 9 7\n1 1\n10 2 1\n0" }, "output": { "stdout": "11\n13\n17\n12\n13\n" } }, { "input": { "stdin": "1\n7 1 7\n7 7 8\n8 1\n10 1 2\n0" }, "output": { "stdout": "11\n15\n0\n19\n13\n" } }, { "input": { "stdin": "1\n7 7 4\n7 7 8\n2 2\n10 2 1\n0" }, "output": { "stdout": "11\n18\n0\n4\n13\n" } }, { "input": { "stdin": "1\n2 7 4\n7 9 8\n8 1\n10 2 1\n0" }, "output": { "stdout": "11\n13\n0\n19\n13\n" } }, { "input": { "stdin": "1\n7 9 7\n7 11 8\n10 1\n10 2 1\n0" }, "output": { "stdout": "11\n0\n0\n21\n13\n" } }, { "input": { "stdin": "1\n7 3 4\n1 9 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n14\n18\n13\n13\n" } }, { "input": { "stdin": "1\n7 7 4\n7 9 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n0\n13\n13\n" } }, { "input": { "stdin": "1\n2 3 4\n1 7 8\n2 1\n10 3 1\n0" }, "output": { "stdout": "11\n9\n16\n13\n14\n" } }, { "input": { "stdin": "1\n7 7 7\n7 7 8\n2 2\n10 2 1\n0" }, "output": { "stdout": "11\n21\n0\n4\n13\n" } }, { "input": { "stdin": "1\n7 5 7\n1 10 8\n2 2\n10 2 2\n0" }, "output": { "stdout": "11\n19\n19\n4\n14\n" } }, { "input": { "stdin": "1\n7 9 7\n1 7 2\n2 2\n2 2 1\n0" }, "output": { "stdout": "11\n0\n20\n4\n15\n" } }, { "input": { "stdin": "1\n7 7 6\n7 9 8\n4 1\n10 2 1\n0" }, "output": { "stdout": "11\n20\n0\n15\n13\n" } }, { "input": { "stdin": "1\n7 3 2\n1 9 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n12\n18\n13\n13\n" } }, { "input": { "stdin": "1\n6 7 3\n11 5 8\n1 1\n10 3 1\n0" }, "output": { "stdout": "11\n16\n0\n12\n14\n" } }, { "input": { "stdin": "1\n7 7 7\n7 7 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n21\n0\n13\n13\n" } }, { "input": { "stdin": "1\n7 3 4\n1 9 8\n2 1\n10 3 1\n0" }, "output": { "stdout": "11\n14\n18\n13\n14\n" } }, { "input": { "stdin": "1\n7 9 7\n1 9 8\n2 1\n10 2 4\n0" }, "output": { "stdout": "11\n0\n18\n13\n16\n" } }, { "input": { "stdin": "1\n7 7 7\n7 7 8\n10 1\n10 4 1\n0" }, "output": { "stdout": "11\n21\n0\n21\n15\n" } }, { "input": { "stdin": "1\n7 9 7\n2 7 2\n2 1\n3 2 1\n0" }, "output": { "stdout": "11\n0\n11\n13\n16\n" } }, { "input": { "stdin": "1\n7 9 7\n2 7 2\n2 1\n2 2 1\n0" }, "output": { "stdout": "11\n0\n11\n13\n15\n" } }, { "input": { "stdin": "1\n7 4 7\n1 11 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n19\n13\n13\n" } }, { "input": { "stdin": "1\n7 3 4\n1 9 9\n2 1\n10 3 2\n0" }, "output": { "stdout": "11\n14\n19\n13\n15\n" } }, { "input": { "stdin": "1\n7 9 7\n2 7 2\n4 1\n3 2 1\n0" }, "output": { "stdout": "11\n0\n11\n15\n16\n" } }, { "input": { "stdin": "1\n7 7 4\n7 7 8\n10 1\n10 1 1\n0" }, "output": { "stdout": "11\n18\n0\n21\n12\n" } }, { "input": { "stdin": "1\n7 4 7\n1 9 8\n1 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n18\n12\n13\n" } }, { "input": { "stdin": "1\n3 1 8\n1 9 7\n2 1\n10 3 1\n0" }, "output": { "stdout": "11\n12\n17\n13\n14\n" } }, { "input": { "stdin": "1\n7 7 1\n12 2 8\n3 1\n10 2 1\n0" }, "output": { "stdout": "11\n15\n20\n14\n13\n" } }, { "input": { "stdin": "1\n7 7 4\n9 2 8\n8 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n19\n19\n13\n" } }, { "input": { "stdin": "1\n7 3 4\n1 9 9\n2 1\n10 6 2\n0" }, "output": { "stdout": "11\n14\n19\n13\n18\n" } }, { "input": { "stdin": "1\n7 4 7\n1 9 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n18\n13\n13\n" } }, { "input": { "stdin": "1\n7 9 7\n2 7 8\n2 1\n2 2 1\n0" }, "output": { "stdout": "11\n0\n17\n13\n15\n" } }, { "input": { "stdin": "1\n7 9 7\n1 7 8\n2 1\n10 2 1\n0" }, "output": { "stdout": "11\n0\n16\n13\n13\n" } }, { "input": { "stdin": "1\n7 7 4\n7 9 8\n4 1\n10 3 1\n0" }, "output": { "stdout": "11\n18\n0\n15\n14\n" } }, { "input": { "stdin": "1\n7 9 7\n1 7 8\n2 1\n2 2 1\n0" }, "output": { "stdout": "11\n0\n16\n13\n15\n" } }, { "input": { "stdin": "1\n7 7 7\n7 7 8\n12 1\n10 1 2\n0" }, "output": { "stdout": "11\n21\n0\n21\n13\n" } }, { "input": { "stdin": "1\n7 7 7\n7 7 8\n10 1\n10 1 1\n0" }, "output": { "stdout": "11\n21\n0\n21\n12\n" } }, { "input": { "stdin": "1\n7 1 7\n7 7 8\n12 1\n3 1 2\n0" }, "output": { "stdout": "11\n15\n0\n21\n16\n" } }, { "input": { "stdin": "1\n7 3 4\n1 7 8\n2 1\n3 4 1\n0" }, "output": { "stdout": "11\n14\n16\n13\n18\n" } }, { "input": { "stdin": "1\n6 7 3\n11 5 8\n3 1\n10 2 1\n0" }, "output": { "stdout": "11\n16\n0\n14\n13\n" } }, { "input": { "stdin": "1\n7 5 7\n7 10 8\n2 2\n10 2 2\n0" }, "output": { "stdout": "11\n19\n0\n4\n14\n" } }, { "input": { "stdin": "1\n7 7 4\n7 9 8\n4 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n0\n15\n13\n" } }, { "input": { "stdin": "1\n7 3 4\n1 7 8\n2 1\n3 3 1\n0" }, "output": { "stdout": "11\n14\n16\n13\n17\n" } }, { "input": { "stdin": "1\n7 7 4\n7 9 8\n8 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n0\n19\n13\n" } }, { "input": { "stdin": "1\n7 7 3\n11 10 8\n8 1\n10 2 1\n0" }, "output": { "stdout": "11\n17\n0\n19\n13\n" } }, { "input": { "stdin": "1\n11 7 3\n11 5 8\n1 1\n10 6 1\n0" }, "output": { "stdout": "11\n20\n0\n12\n17\n" } }, { "input": { "stdin": "1\n7 4 7\n1 9 5\n1 1\n10 2 1\n0" }, "output": { "stdout": "11\n18\n15\n12\n13\n" } } ]
{ "tags": [], "title": "Blackjack" }
{ "cpp": "#include <cstdio>\n#include <cstring>\n#include <algorithm>\n#include <string>\n#include <cmath>\n#include <stack>\n#include <vector>\n#include <map>\n#include <set>\n#include <queue>\n#include <list>\n#include <iostream>\n#include <sstream>\n#include <climits>\n#include <cfloat>\n#include <complex>\n\nusing namespace std;\n\nint main()\n{\n\tchar buf[512];\n\twhile (cin.getline(buf, sizeof(buf)), *buf != '0')\n\t{\n\t\tstringstream ss(buf);\n\t\tint total = 0;\n\t\tint one = 0;\n\t\tint c;\n\t\twhile (ss >> c)\n\t\t{\n\t\t\tif (c == 1)\n\t\t\t{\n\t\t\t\ttotal += 11;\n\t\t\t\t++one;\n\t\t\t}\n\t\t\telse if (c >= 10)\n\t\t\t\ttotal += 10;\n\t\t\telse\n\t\t\t\ttotal += c;\n\t\t}\n\t\twhile (total > 21 && one--)\n\t\t\ttotal -= 10;\n\n\t\tif (total <= 21)\n\t\t\tprintf(\"%d\\n\", total);\n\t\telse\n\t\t\tputs(\"0\");\n\t}\n\n\treturn 0;\n}", "java": "import java.util.*;\nimport java.lang.*;\nimport java.math.*;\nimport java.io.*;\n\nimport static java.lang.Math.*;\nimport static java.util.Arrays.*;\n\npublic class Main{\n\n\tScanner sc=new Scanner(System.in);\n\n\tint INF=1<<28;\n\tdouble EPS=1e-9;\n\n\tLinkedList<Integer> list=new LinkedList<Integer>();\n\n\tvoid run(){\n\t\tfor(;;){\n\t\t\tScanner s=new Scanner(sc.nextLine());\n\t\t\tint count1=0;// 1‚̌”\n\t\t\tint sum=0;\n\t\t\tfor(; s.hasNext();){\n\t\t\t\tint a=s.nextInt();\n\t\t\t\tif(a==0){\n\t\t\t\t\treturn;\n\t\t\t\t}\n\t\t\t\tif(a>10){\n\t\t\t\t\tsum+=10;\n\t\t\t\t}else{\n\t\t\t\t\tsum+=a;\n\t\t\t\t}\n\t\t\t\tif(a==1){\n\t\t\t\t\tcount1++;\n\t\t\t\t}\n\t\t\t}\n\t\t\tint ans=0;\n\t\t\tfor(int i=0; i<=count1; i++){\n\t\t\t\tif(sum<=21){\n\t\t\t\t\tans=sum;\n\t\t\t\t}\n\t\t\t\tsum+=10;\n\t\t\t}\n\t\t\tprintln(\"\"+ans);\n\t\t}\n\t}\n\n\tvoid debug(Object... os){\n\t\tSystem.err.println(Arrays.deepToString(os));\n\t}\n\n\tvoid print(String s){\n\t\tSystem.out.print(s);\n\t}\n\n\tvoid println(String s){\n\t\tSystem.out.println(s);\n\t}\n\n\tpublic static void main(String[] args){\n\t\t// System.setOut(new PrintStream(new BufferedOutputStream(System.out)));\n\t\tnew Main().run();\n\t}\n}", "python": "while True:\n n=[int(i) for i in input().split(\" \")]\n if n==[0]:\n break\n for i in range(len(n)):\n if n[i]>10:\n n[i]=10\n one=n.count(1)\n score=sum(n)\n while score<=11 and one>0:\n if one>0:\n score+=10\n one-=1\n if score>21:\n score=0\n print(score)\n\n" }
AIZU/p00325
# Halting Problem Have you ever had an infinite loop when you ran a hard-working program? It would be convenient to be able to determine in advance whether a program will stop executing without having to execute it. Unfortunately, it is not possible to make such a decision for any program in the programming language you normally use. However, if you have a programming language that is much less computationally powerful, you may be able to write a program that determines if a program written in that language will stop. Consider a programming language called TinyPower. Programs in this language are line sequences. On each line of the program, write the line number at the beginning and one sentence after it. The types of sentences that can be written in this language are as follows. Sentence type | Behavior --- | --- ADD var1 var2 var3 | Assign the result of adding the value of variable var2 and the value of var3 to variable var1 ADD var1 var2 con | Assign the result of adding the value of the variable var2 and the constant con to the variable var1 SUB var1 var2 var3 | Assign the result of subtracting the value of var3 from the value of variable var2 to variable var1 SUB var1 var2 con | Substitute the result of subtracting the constant con from the value of the variable var2 into the variable var1 SET var1 var2 | Assign the value of variable var2 to variable var1 SET var1 con | Assign the constant con to the variable var1 IF var1 dest | Jump to line number dest only if the value of variable var1 is non-zero HALT | Stop the program Line numbers are positive integers, and the same line number will never appear more than once in the program. Variables are represented by a single lowercase letter, and constants and variable values ​​are integers. No variable declaration is required, the initial value of the variable is 0. Program execution starts with the first statement, and the statements are executed in the order in which they are lined up. However, as written in the table above, if the value of the variable in the IF statement is not 0, jump to the line specified by the line number written after the variable and start from the statement written in that line. Continue running. The program will stop when: * When the HALT statement is executed. * When trying to assign a negative integer or an integer greater than or equal to 16 to a variable (the value of the variable is not updated). * When trying to jump to a line number that does not appear in the program. * When you do not jump to any line from the last statement of the program. Create a program that determines if a TinyPower program, given it, will stop. Input The input is given in the following format. N stmt1 stmt2 :: stmtN The number of lines N (1 ≤ N ≤ 50) of the program is given on the first line. The following N lines are given the statement stmti of the TinyPower program. stmti is given in one of the following formats: line ADD var1 var2 var3 Or line ADD var1 var2 con Or line SUB var1 var2 var3 Or line SUB var1 var2 con Or line SET var1 var2 Or line SET var1 con Or line IF var1 dest Or line HALT line, dest (1 ≤ line, dest ≤ 1000) is the line number, varj (one lowercase letter) is the variable, and con (0 ≤ con ≤ 15) is the constant. The delimiter in stmti is one blank character. It is assumed that one or more variables always appear in the program, and only five different variable names appear. Output When the program stops, the results of the variables appearing in the program are output in the lexicographic order of the variable names, separated by line breaks, and when it does not stop, "inf" is output. The result of the variable is output by separating the variable name and the value of the variable with "=". Examples Input 6 10 SET c 1 20 SET i 5 100 ADD s s i 110 SUB i i c 120 IF i 100 200 HALT Output c=1 i=0 s=15 Input 3 10 SET c 1 120 IF c 10 20 HALT Output inf Input 3 111 SET c 1 12 SUB c c 2 777 SET a 4 Output a=0 c=1
[ { "input": { "stdin": "3\n111 SET c 1\n12 SUB c c 2\n777 SET a 4" }, "output": { "stdout": "a=0\nc=1" } }, { "input": { "stdin": "3\n10 SET c 1\n120 IF c 10\n20 HALT" }, "output": { "stdout": "inf" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET i 5\n100 ADD s s i\n110 SUB i i c\n120 IF i 100\n200 HALT" }, "output": { "stdout": "c=1\ni=0\ns=15" } }, { "input": { "stdin": "3\n011 SET c 1\n12 SUB d c 1\n1496 SET b 4" }, "output": { "stdout": "b=4\nc=1\nd=0\n" } }, { "input": { "stdin": "6\n10 SET d 0\n20 SET h 5\n100 ADD s s i\n110 SUB i i c\n184 IF i 100\n124 HALT" }, "output": { "stdout": "c=0\nd=0\nh=5\ni=0\ns=0\n" } }, { "input": { "stdin": "6\n7 SET b 1\n20 SET i 5\n100 ADD s s i\n110 SUB i j c\n120 IF i 100\n200 HALT" }, "output": { "stdout": "b=1\nc=0\ni=0\nj=0\ns=5\n" } }, { "input": { "stdin": "3\n111 SET c 1\n12 SUB c a 4\n777 SET b 4" }, "output": { "stdout": "a=0\nb=0\nc=1\n" } }, { "input": { "stdin": "3\n2 SET b 1\n6 IF d 12\n23 HALT" }, "output": { "stdout": "b=1\nd=0\n" } }, { "input": { "stdin": "3\n16 SET c 1\n33 IF c 10\n34 HALT" }, "output": { "stdout": "c=1\n" } }, { "input": { "stdin": "3\n6 SET b 1\n120 IF b 9\n20 HALT" }, "output": { "stdout": "b=1\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET h 5\n100 ADD s s i\n110 SUB i i c\n209 IF j 100\n200 HALT" }, "output": { "stdout": "c=1\nh=5\ni=0\nj=0\ns=0\n" } }, { "input": { "stdin": "3\n11 SET c 3\n120 IF d 7\n34 HALT" }, "output": { "stdout": "c=3\nd=0\n" } }, { "input": { "stdin": "3\n10 SET c 1\n120 IF c 9\n20 HALT" }, "output": { "stdout": "c=1\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET i 5\n100 ADD s s i\n110 SUB i i c\n120 IF i 100\n76 HALT" }, "output": { "stdout": "c=1\ni=0\ns=15\n" } }, { "input": { "stdin": "3\n111 SET c 0\n12 SUB c d 3\n777 SET a 4" }, "output": { "stdout": "a=0\nc=0\nd=0\n" } }, { "input": { "stdin": "3\n17 SET b 2\n120 IF c 10\n42 HALT" }, "output": { "stdout": "b=2\nc=0\n" } }, { "input": { "stdin": "3\n10 SET c 2\n120 IF d 10\n34 HALT" }, "output": { "stdout": "c=2\nd=0\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET h 5\n000 ADD s s i\n110 SUB i i d\n120 IF i 100\n124 HALT" }, "output": { "stdout": "c=1\nd=0\nh=5\ni=0\ns=0\n" } }, { "input": { "stdin": "3\n10 SET c 0\n73 IF c 12\n20 HALT" }, "output": { "stdout": "c=0\n" } }, { "input": { "stdin": "3\n10 SET c 0\n73 IF c 11\n20 HALT" }, "output": { "stdout": "c=0\n" } }, { "input": { "stdin": "3\n16 SET c 2\n188 IF b 14\n34 HALT" }, "output": { "stdout": "b=0\nc=2\n" } }, { "input": { "stdin": "3\n16 SET d 2\n120 IF c 10\n34 HALT" }, "output": { "stdout": "c=0\nd=2\n" } }, { "input": { "stdin": "6\n10 SET c 0\n20 SET h 7\n100 ADD s s i\n110 SUB h i c\n120 IF i 101\n200 HALT" }, "output": { "stdout": "c=0\nh=0\ni=0\ns=0\n" } }, { "input": { "stdin": "3\n111 SET b 2\n23 SUB c c 3\n777 SET a 6" }, "output": { "stdout": "a=0\nb=2\nc=0\n" } }, { "input": { "stdin": "3\n110 SET c 0\n12 SUB c d 0\n116 SET a 2" }, "output": { "stdout": "a=2\nc=0\nd=0\n" } }, { "input": { "stdin": "3\n10 SET c 0\n193 IF c 11\n20 HALT" }, "output": { "stdout": "c=0\n" } }, { "input": { "stdin": "3\n9 SET d 2\n4 IF d 13\n34 HALT" }, "output": { "stdout": "d=2\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET h 7\n100 ADD s s i\n110 SUB i i c\n120 IF i 101\n200 HALT" }, "output": { "stdout": "c=1\nh=7\ni=0\ns=0\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET h 8\n100 ADD s s i\n110 SUB i h c\n120 IF i 111\n124 HALT" }, "output": { "stdout": "c=1\nh=8\ni=7\ns=0\n" } }, { "input": { "stdin": "3\n13 SET c 1\n120 IF c 9\n20 HALT" }, "output": { "stdout": "c=1\n" } }, { "input": { "stdin": "6\n10 SET c 0\n20 SET i 5\n100 ADD s s i\n111 SUB i i c\n209 IF j 100\n200 HALT" }, "output": { "stdout": "c=0\ni=5\nj=0\ns=5\n" } }, { "input": { "stdin": "3\n111 SET c 2\n16 SUB c c 4\n1275 SET a 4" }, "output": { "stdout": "a=0\nc=2\n" } }, { "input": { "stdin": "3\n2 SET b 0\n6 IF d 12\n23 HALT" }, "output": { "stdout": "b=0\nd=0\n" } }, { "input": { "stdin": "3\n011 SET d 1\n12 SUB c c 0\n777 SET b 4" }, "output": { "stdout": "b=4\nc=0\nd=1\n" } }, { "input": { "stdin": "3\n9 SET e 2\n4 IF d 13\n34 HALT" }, "output": { "stdout": "d=0\ne=2\n" } }, { "input": { "stdin": "6\n10 SET c 0\n20 SET i 5\n100 ADD s s j\n111 SUB i i c\n209 IF j 100\n200 HALT" }, "output": { "stdout": "c=0\ni=5\nj=0\ns=0\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET h 6\n000 ADD s s i\n110 SUB i i c\n150 IF i 110\n124 HALT" }, "output": { "stdout": "c=1\nh=6\ni=0\ns=0\n" } }, { "input": { "stdin": "3\n10 SET c 0\n64 IF c 11\n20 HALT" }, "output": { "stdout": "c=0\n" } }, { "input": { "stdin": "3\n16 SET d 1\n120 IF c 10\n34 HALT" }, "output": { "stdout": "c=0\nd=1\n" } }, { "input": { "stdin": "3\n17 SET c 4\n120 IF c 10\n34 HALT" }, "output": { "stdout": "c=4\n" } }, { "input": { "stdin": "6\n10 SET c 2\n31 SET h 5\n100 ADD s s i\n110 SUB i i c\n120 IF i 100\n172 HALT" }, "output": { "stdout": "c=2\nh=5\ni=0\ns=0\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET j 5\n100 ADD s s i\n110 SUB i i c\n120 IF i 100\n76 HALT" }, "output": { "stdout": "c=1\ni=0\nj=5\ns=0\n" } }, { "input": { "stdin": "3\n110 SET d 1\n12 SUB c c 1\n777 SET b 4" }, "output": { "stdout": "b=0\nc=0\nd=1\n" } }, { "input": { "stdin": "3\n6 SET c 5\n100 IF c 10\n34 HALT" }, "output": { "stdout": "c=5\n" } }, { "input": { "stdin": "6\n10 SET c 1\n20 SET i 5\n100 ADD s s i\n110 SUB i i c\n209 IF j 100\n200 HALT" }, "output": { "stdout": "c=1\ni=4\nj=0\ns=5\n" } }, { "input": { "stdin": "3\n111 SET b 1\n3 SUB c c 0\n777 SET c 4" }, "output": { "stdout": "b=1\nc=4\n" } }, { "input": { "stdin": "3\n111 SET c 1\n12 SUB c c 4\n777 SET b 4" }, "output": { "stdout": "b=0\nc=1\n" } }, { "input": { "stdin": "3\n110 SET c 0\n12 SUB c c 5\n777 SET a 4" }, "output": { "stdout": "a=0\nc=0\n" } }, { "input": { "stdin": "3\n011 SET c 1\n12 SUB c c 2\n777 SET b 4" }, "output": { "stdout": "b=0\nc=1\n" } }, { "input": { "stdin": "6\n10 SET b 1\n20 SET i 5\n100 ADD s s i\n110 SUB i i c\n120 IF i 100\n200 HALT" }, "output": { "stdout": "b=1\nc=0\ni=5\ns=15\n" } } ]
{ "tags": [], "title": "Halting Problem" }
{ "cpp": "#include <bits/stdc++.h>\n\nusing namespace std;\n\ntypedef long long int64;\n\nmap< string, int > ff;\n\nvoid stop()\n{\n int ret = 0;\n for(auto &c : ff) {\n if(isalpha(c.first[0])) {\n ++ret;\n printf(\"%c=%d\\n\", c.first[0], c.second);\n }\n }\n exit(0);\n}\n\n\nint main()\n{\n int N;\n int convert[1001];\n char buff[64], type[50][5], var1[50][5], var2[50][5], var3[50][5];\n memset(convert, -1, sizeof(convert));\n\n fgets(buff, sizeof(buff), stdin);\n sscanf(buff, \"%d\", &N);\n\n for(int i = 0; i < N; i++) {\n int line;\n fgets(buff, sizeof(buff), stdin);\n sscanf(buff, \"%d %s %s %s %s\", &line, type[i], var1[i], var2[i], var3[i]);\n convert[line] = i;\n ff[var1[i]];\n ff[var2[i]];\n ff[var3[i]];\n }\n for(int i = 0; i < 16; i++) ff[to_string(i)] = i;\n\n int i = 0;\n for(int c = 0; c < 30000000; c++) {\n if(type[i][0] == 'H') stop();\n int val;\n bool set = true;\n if(type[i][0] == 'A') {\n val = ff[var2[i]] + ff[var3[i]];\n } else if(type[i][1] == 'U') {\n val = ff[var2[i]] - ff[var3[i]];\n } else if(type[i][1] == 'E') {\n val = ff[var2[i]];\n } else {\n set = false;\n }\n\n if(set && (val < 0 || val >= 16)) stop();\n if(set) ff[var1[i]] = val;\n\n if(type[i][0] == 'I' && ff[var1[i]] != 0) {\n i = convert[stoi(var2[i])];\n } else {\n i++;\n }\n\n if(i < 0 || i >= N) stop();\n }\n\n puts(\"inf\");\n}", "java": "import java.util.ArrayList;\nimport java.util.HashMap;\nimport java.util.List;\nimport java.util.Map;\nimport java.util.Scanner;\n\npublic class Main{\n\n\tpublic static void main(String args[]){\n\t\tnew Main().mainrun();\n\t}\n\n\tScanner scan;\n\tprivate int N,count;\n\tprivate boolean loop,inf;\n\tprivate List<Order> OrderList;\n\tprivate Map<Integer,Integer> LineNumber,infLine;\n\tprivate HashMap<String,Integer> Var;\n\n\tprivate void mainrun() {\n\t\tscan = new Scanner(System.in);\n\n\t\tN = Integer.parseInt(scan.nextLine());\n\t\tloop = true;\n\t\tinf = false;\n\n\t\tOrderList = new ArrayList<>();\n\t\tLineNumber = new HashMap<>();\n\t\tVar = new HashMap<>();\n\t\tinfLine = new HashMap<>();\n\n\t\tfor(int i = 0;i < N ;i++) {\n\t\t\tString[] line = scan.nextLine().split(\" \");\n\t\t\tOrderList.add(new Order(line));\n\t\t\tLineNumber.put(Integer.parseInt(line[0]), i);\n\n\t\t\tfor(String str : line) {\n\t\t\t\ttry {\n\t\t\t\t\tInteger.parseInt(str);\n\t\t\t\t}catch(NumberFormatException nfe){\n\t\t\t\t\tif(str.length() == 1) {\n\t\t\t\t\t\tVar.put(str, 0);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\n\t\tfor(count = 0;count < N && loop && !inf;count++) {\n\t\t\tOrder order = OrderList.get(count);\n\t\t\tswitch(order.act) {\n\t\t\tcase \"ADD\":\n\t\t\tcase \"SUB\":\n\t\t\t\tADDSUBact(order);\n\t\t\t\tbreak;\n\t\t\tcase \"SET\":\n\t\t\t\tSETact(order);\n\t\t\t\tbreak;\n\t\t\tcase \"IF\":\n\t\t\t\tIFact(order);\n\t\t\t\tbreak;\n\t\t\tcase \"HALT\":\n\t\t\t\tloop = false;\n\t\t\t\tbreak;\n\t\t\tdefault:\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\n\t\tif(inf) {\n\t\t\tSystem.out.println(\"inf\");\n\t\t}else {\n\t\t\tVar.entrySet().stream().sorted((var1,var2)->{\n\t\t\t\treturn var1.getKey().compareTo(var2.getKey());\n\t\t\t}).forEach((entry) -> {\n\t\t\t\tSystem.out.println(entry.getKey() + \"=\" + entry.getValue() );});\n\t\t}\n\n\t\tscan.close();\n\t}\n\n\tprivate void ADDSUBact(Order order) {\n\t\tint Num = Var.get(order.var2)\n\t\t\t\t+ (order.isNumber ? order.con : Var.get(order.var3))\n\t\t\t\t* (order.act.equals(\"ADD\") ? 1 : -1) ;\n\n\t\tif(Num < 0 || Num >= 16) {\n\t\t\tloop = false;\n\t\t}else{\n\t\t\tVar.put(order.var1, Num);\n\t\t}\n\t}\n\n\tprivate void SETact(Order order) {\n\t\tif(order.isNumber) {\n\t\t\tVar.put(order.var1, order.con);\n\t\t}else {\n\t\t\tVar.put(order.var1, Var.get(order.var2));\n\t\t}\n\t}\n\n\tprivate void IFact(Order order) {\n\t\tif(Var.get(order.var1) == 0) {\n\t\t\treturn;\n\t\t}\n\n\t\t/* 無限ループ判定 */\n\t\tif(infLine.containsKey(order.dest) && Var.get(order.var1) == infLine.get(order.dest)) {\n\t\t\tinf = true;\n\t\t}else {\n\t\t\tinfLine.put(order.dest,Var.get(order.var1));\n\t\t}\n\n\t\tif(LineNumber.containsKey(order.dest)) {\n\t\t\tcount = LineNumber.get(order.dest) - 1;\n\t\t}else{\n\t\t\tloop = false;\n\t\t}\n\t}\n}\n\nclass Order{\n\tString act,var1,var2,var3;\n\tint con,dest,line;\n\tboolean isNumber = false;\n\n\tpublic Order(String Line[]) {\n\t\tline = Integer.parseInt(Line[0]);\n\t\tact = Line[1];\n\n\t\tswitch(act) {\n\t\tcase \"ADD\":\n\t\tcase \"SUB\":\n\t\t\tvar1 = Line[2];\n\t\t\tvar2 = Line[3];\n\t\t\ttry {\n\t\t\t\tcon = Integer.parseInt(Line[4]);\n\t\t\t\tisNumber = true;\n\t\t\t}catch (NumberFormatException nfe){\n\t\t\t\tvar3 = Line[4];\n\t\t\t}\n\t\t\tbreak;\n\t\tcase \"SET\":\n\t\t\tvar1 = Line[2];\n\t\t\ttry {\n\t\t\t\tcon = Integer.parseInt(Line[3]);\n\t\t\t\tisNumber = true;\n\t\t\t}catch (NumberFormatException nfe){\n\t\t\t\tvar2 = Line[3];\n\t\t\t}\n\t\t\tbreak;\n\t\tcase \"IF\":\n\t\t\tvar1 = Line[2];\n\t\t\tdest = Integer.parseInt(Line[3]);\n\t\t\tbreak;\n\t\tcase \"HALT\":\n\t\tdefault:\n\t\t\tbreak;\n\t\t}\n\t}\n}\n", "python": "from itertools import product\n\ndef check():\n n = int(input())\n prog = [input().split() for _ in range(n)]\n \n v = set()\n for ss in prog:\n for s in ss:\n if \"a\" <= s <= \"z\":\n v.add(s)\n v = sorted(list(v))\n var_state = [0] * len(v)\n var_to_ind = dict(zip(v, range(len(v))))\n \n line_to_ind = {}\n for i, ss in enumerate(prog):\n line_to_ind[ss[0]] = i\n \n def fix(p):\n if p[1] == \"ADD\":\n if p[4] in var_to_ind:\n return [0, var_to_ind[p[2]], var_to_ind[p[3]], var_to_ind[p[4]]]\n else:\n return [1, var_to_ind[p[2]], var_to_ind[p[3]], int(p[4])]\n if p[1] == \"SUB\":\n if p[4] in var_to_ind:\n return [2, var_to_ind[p[2]], var_to_ind[p[3]], var_to_ind[p[4]]]\n else:\n return [3, var_to_ind[p[2]], var_to_ind[p[3]], int(p[4])]\n if p[1] == \"SET\":\n if p[3] in var_to_ind:\n return [4, var_to_ind[p[2]], var_to_ind[p[3]]]\n else:\n return [5, var_to_ind[p[2]], int(p[3])]\n if p[1] == \"IF\":\n if p[3] in line_to_ind:\n return [6, var_to_ind[p[2]], line_to_ind[p[3]]]\n else:\n return [6, var_to_ind[p[2]], 100]\n if p[1] == \"HALT\":\n return [7]\n \n prog = list(map(fix, prog))\n used = [[False] * n for _ in range(16 ** len(v))]\n xs = [1, 16, 256, 4096, 65536]\n\n ind = 0\n h = 0\n while True:\n if ind >= n:\n return True, v, var_state\n if used[h][ind]:\n return False, v, var_state\n used[h][ind] = True\n \n p = prog[ind]\n ins = p[0]\n \n if ins == 0:\n v1, v2, v3 = p[1:]\n temp = var_state[v2] + var_state[v3]\n if not temp < 16:\n return True, v, var_state\n h += (temp - var_state[v1]) * xs[v1]\n var_state[v1] = temp\n \n elif ins == 1:\n v1, v2 = p[1:3]\n con = p[3]\n temp = var_state[v2] + con\n if not temp < 16:\n return True, v, var_state\n h += (temp - var_state[v1]) * xs[v1]\n var_state[v1] = temp\n \n elif ins == 2:\n v1, v2, v3 = p[1:]\n temp = var_state[v2] - var_state[v3]\n if not 0 <= temp:\n return True, v, var_state\n h += (temp - var_state[v1]) * xs[v1]\n var_state[v1] = temp\n \n elif ins == 3:\n v1, v2 = p[1:3]\n con = p[3]\n temp = var_state[v2] - con\n if not 0 <= temp:\n return True, v, var_state\n h += (temp - var_state[v1]) * xs[v1]\n var_state[v1] = temp\n \n elif ins == 4:\n v1, v2 = p[1:]\n h += (var_state[v2] - var_state[v1]) * xs[v1]\n var_state[v1] = var_state[v2]\n \n elif ins == 5:\n v1 = p[1]\n con = p[2]\n h += (con - var_state[v1]) * xs[v1]\n var_state[v1] = con\n \n elif ins == 6:\n v1 = p[1]\n dest = p[2]\n if var_state[v1]:\n ind = dest - 1\n \n else:\n return True, v, var_state\n \n ind += 1\n\nflag, v, var_state = check()\nif flag:\n for t in zip(v, var_state):\n print(*t, sep=\"=\")\nelse:\n print(\"inf\")\n" }
AIZU/p00497
# Nails JOI is playing with a nail in the board. As shown in the figure below, JOI stabbed nails in the shape of an equilateral triangle with N sides. A nails are lined up in the ath line (1 ≤ a ≤ N) from the top. The bth nail (1 ≤ b ≤ a) from the left is represented by (a, b). <image> Figure 1: Arrangement of nails (when N = 5) When an equilateral triangle with a nail as its apex is "each side is parallel to one of the sides of the entire equilateral triangle and has the same orientation as the entire equilateral triangle", this equilateral triangle is called a "good equilateral triangle". That is, a "good equilateral triangle" is an equilateral triangle whose vertices are three nails (a, b), (a + x, b), (a + x, b + x) (but a). , B, x satisfy 1 ≤ a <N, 1 ≤ b ≤ a, 1 ≤ x ≤ N --a)). JOI decided to use a rubber band to surround the "good equilateral triangle." <image> Figure 2: An example of how to enclose a "good equilateral triangle" with a rubber band input Read the following data from standard input. * The integers N and M are written on the first line, separated by blanks. N represents the number of nails lined up on one side of an equilateral triangle, and M represents the number of rubber bands that JOI has. * The following M line shows information on how to enclose a "good equilateral triangle" with a rubber band. The integers Ai, Bi, Xi (1 ≤ Ai <N, 1 ≤ Bi ≤ Ai, 1 ≤ Xi ≤ N --Ai) are written on the first line (1 ≤ i ≤ M), separated by blanks. .. This means that the i-th rubber band surrounds a "good equilateral triangle" with three nails (Ai, Bi), (Ai + Xi, Bi), (Ai + Xi, Bi + Xi) as vertices. Represent. output Output the number of nails surrounded by one or more rubber bands to the standard output in one line. Examples Input 5 2 2 2 1 2 1 3 Output 12 Input None Output None
[ { "input": { "stdin": "None" }, "output": { "stdout": "None" } }, { "input": { "stdin": "5 2\n2 2 1\n2 1 3" }, "output": { "stdout": "12" } }, { "input": { "stdin": "Nnar" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "opNd" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1 2\n2 1 1\n2 2 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "oncN" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Mapo" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Nopd" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cNql" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Npne" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "bNqm" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "qiOc" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "qjOc" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "qjcP" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "oNcn" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cMop" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cqNk" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "bNql" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "npNd" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "qicO" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Maop" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "nMao" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1 2\n2 1 1\n2 2 3" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "dMpo" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Pcjq" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Pckq" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "raNn" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "opMd" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "qcOi" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "9 2\n2 1 1\n2 1 3" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "cqOi" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "aNrn" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cOqi" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "iqOc" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "npMd" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "oaMn" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cNqj" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "raOn" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cMqp" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "jNrc" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "pnNd" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cLop" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Noco" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "qkcO" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1 2\n2 1 0\n2 2 0" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "nMap" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "poMc" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cpoN" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "cMpp" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "Maoo" }, "output": { "stdout": "0\n" } } ]
{ "tags": [], "title": "Nails" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\n#define REP(i, n) FOR(i, 0, n)\n#define FOR(i, a, b) for(int i=a; i<b; i++)\n\n#define N 5123\nint n, m;\nint l[N][N], r[N][N];\n\nint main(){\n\tscanf(\"%d%d\", &n, &m);\n\tREP(i, N) REP(j, N) l[i][j]=r[i][j]=0;\n\tREP(i, m){\n\t\tint a, b, x;\n\t\tscanf(\"%d%d%d\", &a, &b, &x); a--; b--;\n\t\tl[a][b]++;\n\t\tr[a][b+1]++;\n\t\tl[a+x+1][b]--;\n\t\tr[a+x+1][b+x+2]--;\n\t}\n\tint ans = 0;\n\tFOR(i, 1, n){\n\t\tREP(j, i+2){\n\t\t\tl[i][j]+=l[i-1][j];\n\t\t\tr[i][j+2]+=r[i-1][j+1];\n\t\t}\n\t}\n\tREP(i, n){\n\t\tint a = 0;\n\t\tREP(j, i+1){\n\t\t\ta+=l[i][j];\n\t\t\ta-=r[i][j];\n\t\t\tif(a) ans++;\n\t\t}\n\t}\n\tprintf(\"%d\\n\", ans);\n}", "java": "import java.util.*;\n\nclass Main {\n static int nail[][];\n public static void main(String args[]) {\n Scanner sc = new Scanner(System.in);\n int n = sc.nextInt();\n int m = sc.nextInt();\n nail = new int[n+1][];\n for (int i = 1; i <= n; i++) {\n nail[i] = new int[i+1];\n }\n int ct = 0;\n for (int i = 0; i < m; i++) {\n int a = sc.nextInt();\n int b = sc.nextInt();\n int x = sc.nextInt();\n ct += count(a, b, x);\n }\n System.out.println(ct);\n }\n\n static int count(int a, int b, int x) {\n if (x < 0) return 0;\n int y = nail[a][b];\n if (y > x) return 0;\n int c = 0;\n if (y == 0) c++;\n nail[a][b] = x + 1;\n c += count(a + 1, b, x - 1);\n c += count(a + 1, b + 1, x - 1);\n return c;\n }\n}", "python": "n,m = map(int,input().split())\nt = [[0]*(n+2) for i in range(n+2)]\n\nfor i in range(m):\n a,b,x = map(int,input().split())\n a -= 1\n b -= 1\n t[a][b] += 1\n t[a][b+1] -= 1\n t[a+x+1][b] -= 1\n t[a+x+1][b+x+2] += 1\n t[a+x+2][b+1] += 1\n t[a+x+2][b+x+2] -= 1\n \nfor i in range(n+2):\n for j in range(1,n+2):\n t[i][j] += t[i][j-1]\n \nfor i in range(n+2):\n for j in range(1,n+2):\n t[j][i] += t[j-1][i]\n \nfor i in range(1, n+2):\n for j in range(1,n+2):\n t[i][j] += t[i-1][j-1]\n \nans = 0\nfor i in range(n):\n for j in range(i+1):\n if t[i][j] != 0:\n ans += 1\n \nprint(ans)\n" }
AIZU/p00682
# Area of Polygons Polygons are the most fundamental objects in geometric processing. Complex figures are often represented and handled as polygons with many short sides. If you are interested in the processing of geometric data, you'd better try some programming exercises about basic operations on polygons. Your job in this problem is to write a program that computes the area of polygons. A polygon is represented by a sequence of points that are its vertices. If the vertices p1, p2, ..., pn are given, line segments connecting pi and pi+1 (1 <= i <= n-1) are sides of the polygon. The line segment connecting pn and p1 is also a side of the polygon. You can assume that the polygon is not degenerate. Namely, the following facts can be assumed without any input data checking. * No point will occur as a vertex more than once. * Two sides can intersect only at a common endpoint (vertex). * The polygon has at least 3 vertices. Note that the polygon is not necessarily convex. In other words, an inner angle may be larger than 180 degrees. Input The input contains multiple data sets, each representing a polygon. A data set is given in the following format. n x1 y1 x2 y2 ... xn yn The first integer n is the number of vertices, such that 3 <= n <= 50. The coordinate of a vertex pi is given by (xi, yi). xi and yi are integers between 0 and 1000 inclusive. The coordinates of vertices are given in the order of clockwise visit of them. The end of input is indicated by a data set with 0 as the value of n. Output For each data set, your program should output its sequence number (1 for the first data set, 2 for the second, etc.) and the area of the polygon separated by a single space. The area should be printed with one digit to the right of the decimal point. The sequence number and the area should be printed on the same line. Since your result is checked by an automatic grading program, you should not insert any extra characters nor lines on the output. Example Input 3 1 1 3 4 6 0 7 0 0 10 10 0 20 10 30 0 40 100 40 100 0 0 Output 1 8.5 2 3800.0
[ { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n0 0\n10 10\n0 20\n10 30\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 8.5\n2 3800.0" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n0 0\n10 10\n0 20\n10 33\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 8.5\n2 3800.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n1 -1\n10 10\n0 28\n3 33\n0 40\n101 77\n110 0\n\n0" }, "output": { "stdout": "1 8.5\n2 6142.0\n" } }, { "input": { "stdin": "3\n1 1\n3 1\n0 0\n\n7\n0 0\n10 10\n0 33\n10 17\n1 40\n101 40\n100 1\n\n0" }, "output": { "stdout": "1 1.0\n2 3758.0\n" } }, { "input": { "stdin": "3\n1 1\n3 5\n6 0\n\n7\n0 0\n10 10\n-1 20\n10 38\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 11.0\n2 3814.0\n" } }, { "input": { "stdin": "3\n2 1\n2 4\n6 0\n\n7\n2 -2\n0 10\n0 28\n3 33\n-1 41\n100 49\n110 0\n\n0" }, "output": { "stdout": "1 6.0\n2 4833.5\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n2 0\n\n7\n0 0\n10 15\n-1 4\n9 32\n0 40\n110 1\n101 0\n\n0" }, "output": { "stdout": "1 2.5\n2 2077.0\n" } }, { "input": { "stdin": "3\n0 1\n3 4\n2 0\n\n7\n0 0\n10 15\n0 20\n9 32\n0 40\n110 1\n100 0\n\n0" }, "output": { "stdout": "1 4.5\n2 2060.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n1 -1\n10 10\n0 28\n3 33\n-1 41\n100 49\n110 0\n\n0" }, "output": { "stdout": "1 8.5\n2 4638.5\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n2 0\n\n7\n1 -1\n10 10\n0 28\n3 33\n-1 41\n100 49\n110 0\n\n0" }, "output": { "stdout": "1 2.5\n2 4638.5\n" } }, { "input": { "stdin": "3\n1 1\n3 8\n6 0\n\n7\n1 0\n10 10\n0 20\n3 33\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 18.5\n2 3865.0\n" } }, { "input": { "stdin": "3\n1 0\n3 4\n6 0\n\n7\n0 0\n10 10\n0 20\n10 33\n-1 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 10.0\n2 3803.5\n" } }, { "input": { "stdin": "3\n1 1\n3 5\n6 0\n\n7\n0 0\n10 10\n0 20\n10 38\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 11.0\n2 3800.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n2 0\n\n7\n1 -1\n10 10\n0 28\n3 33\n-1 41\n100 49\n111 0\n\n0" }, "output": { "stdout": "1 2.5\n2 4663.5\n" } }, { "input": { "stdin": "3\n1 0\n3 1\n1 0\n\n7\n0 0\n10 10\n0 33\n10 20\n0 69\n100 26\n100 1\n\n0" }, "output": { "stdout": "1 0.0\n2 4355.0\n" } }, { "input": { "stdin": "3\n1 1\n3 1\n1 0\n\n7\n0 0\n0 10\n0 32\n10 4\n0 115\n100 26\n100 1\n\n0" }, "output": { "stdout": "1 1.0\n2 6585.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n2 0\n\n7\n0 0\n10 15\n0 20\n10 33\n0 40\n110 1\n100 0\n\n0" }, "output": { "stdout": "1 2.5\n2 2050.0\n" } }, { "input": { "stdin": "3\n1 1\n3 3\n6 0\n\n7\n0 0\n10 10\n0 20\n3 33\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 6.0\n2 3870.0\n" } }, { "input": { "stdin": "3\n2 1\n2 4\n4 0\n\n7\n2 -2\n0 14\n0 28\n3 33\n-2 41\n100 49\n110 0\n\n0" }, "output": { "stdout": "1 3.0\n2 4837.5\n" } }, { "input": { "stdin": "3\n2 1\n2 4\n8 0\n\n7\n2 -2\n10 10\n0 28\n3 33\n-1 41\n100 63\n110 0\n\n0" }, "output": { "stdout": "1 9.0\n2 5460.5\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 -1\n\n7\n1 -1\n10 10\n-1 20\n3 33\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 9.5\n2 3921.5\n" } }, { "input": { "stdin": "3\n2 1\n2 4\n6 0\n\n7\n2 -2\n0 10\n0 28\n3 33\n-2 41\n100 49\n110 0\n\n0" }, "output": { "stdout": "1 6.0\n2 4841.5\n" } }, { "input": { "stdin": "3\n2 1\n2 4\n6 0\n\n7\n2 -2\n0 10\n0 10\n3 33\n-1 41\n100 38\n110 0\n\n0" }, "output": { "stdout": "1 6.0\n2 4196.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n2 0\n\n7\n0 0\n10 15\n0 20\n10 32\n0 40\n111 1\n100 0\n\n0" }, "output": { "stdout": "1 2.5\n2 2070.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n0 0\n10 10\n0 20\n10 33\n0 40\n110 40\n100 0\n\n0" }, "output": { "stdout": "1 8.5\n2 4000.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n2 0\n\n7\n0 0\n10 15\n-1 20\n16 32\n0 40\n110 1\n100 0\n\n0" }, "output": { "stdout": "1 2.5\n2 1998.5\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n2 0\n\n7\n0 0\n10 15\n0 20\n10 32\n0 67\n111 1\n100 0\n\n0" }, "output": { "stdout": "1 2.5\n2 3433.5\n" } }, { 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"stdout": "1 9.5\n2 4085.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 1\n\n7\n1 -1\n10 9\n0 28\n3 33\n0 41\n100 77\n110 0\n\n0" }, "output": { "stdout": "1 7.5\n2 6171.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n0 0\n10 15\n0 20\n10 33\n0 40\n110 10\n100 0\n\n0" }, "output": { "stdout": "1 8.5\n2 2500.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 -1\n\n7\n1 -1\n10 10\n0 28\n3 33\n0 40\n100 40\n100 0\n\n0" }, "output": { "stdout": "1 9.5\n2 3882.0\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n1 -1\n10 10\n0 28\n3 33\n0 40\n100 77\n110 0\n\n0" }, "output": { "stdout": "1 8.5\n2 6122.0\n" } }, { "input": { "stdin": "3\n2 1\n3 1\n6 0\n\n7\n0 0\n10 10\n0 33\n10 30\n0 40\n000 40\n100 1\n\n0" }, "output": { "stdout": "1 0.5\n2 1800.0\n" } }, { "input": { "stdin": "3\n1 1\n3 1\n1 0\n\n7\n0 0\n9 10\n0 33\n10 20\n0 40\n100 26\n100 1\n\n0" }, "output": { "stdout": "1 1.0\n2 3066.5\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 0\n\n7\n0 0\n10 15\n0 20\n10 33\n0 40\n110 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-1\n10 10\n0 28\n3 33\n-1 41\n100 49\n110 0\n\n0" }, "output": { "stdout": "1 8.0\n2 4638.5\n" } }, { "input": { "stdin": "3\n1 1\n3 4\n6 -1\n\n7\n1 -1\n10 10\n0 28\n3 33\n0 40\n100 77\n110 0\n\n0" }, "output": { "stdout": "1 9.5\n2 6122.0\n" } }, { "input": { "stdin": "3\n1 1\n2 3\n6 0\n\n7\n1 -2\n10 10\n0 28\n3 33\n-1 41\n100 49\n110 0\n\n0" }, "output": { "stdout": "1 5.5\n2 4688.5\n" } } ]
{ "tags": [], "title": "Area of Polygons" }
{ "cpp": "#include<bitset>\n#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<iostream>\n#include<algorithm>\nusing namespace std;\n\n/* AOJ 1100 */\n\nconst int N = 55;\n\nint n, cnt = 0;\ndouble ans;\nstruct Point {\n\tint x, y;\n\tvoid read(void) {\n\t\tscanf(\"%d%d\", &x, &y);\n\t}\n\tfriend int operator - (Point b, Point a) {\n\t\treturn a.x*b.y - b.x*a.y;\n\t}\n}P[N];\n\nsigned main(void) {\n\n\twhile (scanf(\"%d\", &n), n) {\n\t\tans = 0;\n\t\tfor (int i = 0; i < n; i++)\n\t\t\tP[i].read();\n\t\tfor (int i = 0; i < n; i++)\n\t\t\tans += (double)(P[i] - P[(i + 1) % n]);\n\t\tans /= 2;\n\t\tprintf(\"%d %.1lf\\n\", ++cnt, ans);\n\t}\n\n}", "java": "import java.io.*;\nimport java.util.*;\n\nclass Main{\n public static void main(String[] args){\n\tint xx=0, ip;\n\tdouble[] array = new double[1000];\n\tScanner sc = new Scanner(System.in);\n\t\n\twhile(true){\n\t int suma=0, sumb=0;\n\t ip = sc.nextInt();\n\t if(ip==0)\n\t\tbreak;\n\t int[] x = new int[ip];\n\t int[] y = new int[ip];\n\t for(int i=0; i<ip; i++){\n\t\tx[i]=sc.nextInt();\n\t\ty[i]=sc.nextInt();\n\t }\n\t \n\t for(int i=0; i<ip-1; i++){\n\t\tsuma+=x[i]*y[i+1];\n\t\tsumb+=x[i+1]*y[i];\n\t }\n\t suma+=x[ip-1]*y[0];\n\t sumb+=x[0]*y[ip-1];\n\t array[xx] = Math.abs((double)(suma-sumb)/2.0);\n\t xx++;\n\t}\n\tfor(int pp=0; array[pp]!=0; pp++)\n\t System.out.println((pp+1)+\" \"+array[pp]);\n }\n}", "python": "# coding: utf-8\n\ndef mul(p1, p2):\n return (p1[0] - p2[0]) * (p1[1] + p2[1]) * 1.0\n\nn = input()\ncnt = 1\n\nwhile n != 0:\n data = []\n for i in range(n):\n data.append(map(int, raw_input().split()))\n data.append(data[0])\n\n areaSum = 0.0\n for i in range(n):\n areaSum = areaSum + mul(data[i],data[i+1])\n print cnt, abs(areaSum) / 2\n cnt = cnt + 1\n \n raw_input()\n n = input()" }
AIZU/p00824
# Gap Let’s play a card game called Gap. You have 28 cards labeled with two-digit numbers. The first digit (from 1 to 4) represents the suit of the card, and the second digit (from 1 to 7) represents the value of the card. First, you shuffle the cards and lay them face up on the table in four rows of seven cards, leaving a space of one card at the extreme left of each row. The following shows an example of initial layout. <image> Next, you remove all cards of value 1, and put them in the open space at the left end of the rows: “11” to the top row, “21” to the next, and so on. Now you have 28 cards and four spaces, called gaps, in four rows and eight columns. You start moving cards from this layout. <image> At each move, you choose one of the four gaps and fill it with the successor of the left neighbor of the gap. The successor of a card is the next card in the same suit, when it exists. For instance the successor of “42” is “43”, and “27” has no successor. In the above layout, you can move “43” to the gap at the right of “42”, or “36” to the gap at the right of “35”. If you move “43”, a new gap is generated to the right of “16”. You cannot move any card to the right of a card of value 7, nor to the right of a gap. The goal of the game is, by choosing clever moves, to make four ascending sequences of the same suit, as follows. <image> Your task is to find the minimum number of moves to reach the goal layout. Input The input starts with a line containing the number of initial layouts that follow. Each layout consists of five lines - a blank line and four lines which represent initial layouts of four rows. Each row has seven two-digit numbers which correspond to the cards. Output For each initial layout, produce a line with the minimum number of moves to reach the goal layout. Note that this number should not include the initial four moves of the cards of value 1. If there is no move sequence from the initial layout to the goal layout, produce “-1”. Example Input 4 12 13 14 15 16 17 21 22 23 24 25 26 27 31 32 33 34 35 36 37 41 42 43 44 45 46 47 11 26 31 13 44 21 24 42 17 45 23 25 41 36 11 46 34 14 12 37 32 47 16 43 27 35 22 33 15 17 12 16 13 15 14 11 27 22 26 23 25 24 21 37 32 36 33 35 34 31 47 42 46 43 45 44 41 27 14 22 35 32 46 33 13 17 36 24 44 21 15 43 16 45 47 23 11 26 25 37 41 34 42 12 31 Output 0 33 60 -1
[ { "input": { "stdin": "4\n\n12 13 14 15 16 17 21\n22 23 24 25 26 27 31\n32 33 34 35 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 21\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n25 37 41 34 42 12 31" }, "output": { "stdout": "0\n33\n60\n-1" } }, { "input": { "stdin": "4\n\n12 13 15 12 16 17 21\n44 23 19 25 26 27 31\n32 33 34 14 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 48 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 80 33\n13 17 36 24 44 21 5\n43 16 45 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 12 16 17 21\n44 23 6 25 26 27 31\n32 33 34 35 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 48 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 80 33\n13 17 36 24 44 21 5\n43 16 45 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 14 15 16 27 21\n22 23 24 25 26 27 31\n32 33 34 35 36 37 41\n42 43 29 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 56 36 33 35 34 31\n47 42 87 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n25 20 41 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 6 19 7 21\n44 23 19 25 26 27 31\n32 33 34 35 36 37 41\n20 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 27 26 23 48 4 16\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 80 33\n13 17 36 24 44 21 5\n43 16 45 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 12 16 7 21\n44 23 19 25 26 27 31\n32 33 34 35 36 37 41\n20 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 48 24 16\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 80 33\n13 17 36 24 44 21 5\n43 16 45 47 23 11 26\n29 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 14 15 16 17 21\n22 23 24 25 26 27 31\n32 33 34 35 43 37 41\n42 43 29 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n47 37 41 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 14 15 16 17 21\n22 23 24 25 26 27 31\n32 33 34 66 43 37 41\n42 43 29 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n47 37 6 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 15 16 17 21\n44 23 19 25 26 27 31\n32 33 34 58 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 12 23 25 24 13\n37 32 36 33 35 34 31\n82 42 46 43 45 44 41\n\n27 14 22 35 32 80 33\n13 13 36 24 44 21 5\n43 16 45 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 15 16 17 21\n44 23 19 25 26 27 31\n32 33 34 35 36 37 41\n42 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15\n\n17 12 16 13 15 14 11\n27 22 26 23 48 24 16\n37 32 36 33 35 34 31\n47 42 46 43 42 44 41\n\n27 14 22 35 32 80 33\n13 17 36 24 44 21 5\n43 16 45 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 15 16 17 21\n44 23 19 25 26 27 31\n32 33 34 35 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 20 23 25 24 13\n37 32 36 33 35 34 31\n82 42 46 43 45 44 41\n\n27 14 15 35 32 80 33\n13 17 36 24 44 21 5\n43 16 78 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 14 15 16 17 21\n22 23 24 25 26 27 31\n32 33 34 35 36 37 41\n42 43 29 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n47 37 41 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 15 16 17 21\n44 23 24 25 26 27 31\n32 33 34 35 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 15 16 17 21\n44 23 24 25 26 27 31\n32 33 34 35 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 18 14 11\n27 22 26 23 25 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 80 33\n13 17 36 24 44 21 5\n43 16 45 47 23 11 26\n25 37 41 34 42 12 38" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 14 15 16 17 21\n22 23 24 25 26 27 31\n32 33 34 35 43 37 41\n42 43 29 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n47 37 6 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 14 15 16 27 21\n22 23 24 25 26 27 31\n32 33 34 35 36 37 41\n42 43 29 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 56 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n25 20 41 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 14 15 16 17 21\n22 23 24 25 26 27 31\n32 33 34 66 43 37 41\n42 43 29 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 12 16 13 15 14 11\n27 22 26 23 25 24 13\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 35 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 6\n47 37 6 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } }, { "input": { "stdin": "4\n\n12 13 15 15 15 17 21\n22 23 24 25 26 27 31\n32 33 34 35 36 37 41\n42 43 44 45 46 47 11\n\n26 31 13 44 21 24 42\n17 45 23 25 41 36 11\n46 34 14 12 37 32 47\n16 43 27 35 22 33 15\n\n17 7 16 13 15 14 11\n27 22 26 23 25 24 21\n37 32 36 33 35 34 31\n47 42 46 43 45 44 41\n\n27 14 22 18 32 46 33\n13 17 36 24 44 21 15\n43 16 45 47 23 11 26\n25 37 41 34 42 12 31" }, "output": { "stdout": "-1\n33\n-1\n-1\n" } } ]
{ "tags": [], "title": "Gap" }
{ "cpp": "#include <cstdio>\n#include <vector>\n#include <set>\n#include <queue>\nusing namespace std;\n\n\nint main(){\n\tvector<char> goal(32);\n\tfor(int i = 0; i < 4; ++i){\n\t\tfor(int j = 0; j < 7; ++j){\n\t\t\tgoal[i * 8 + j] = (i + 1) * 10 + j + 1;\n\t\t}\n\t}\n\n\tint n;\n\tfor( scanf(\"%d\", &n); n--; ){\n\t\tint x;\n\t\tvector<char> v(32);\n\t\tv[0] = 11;\n\t\tv[8] = 21;\n\t\tv[16] = 31;\n\t\tv[24] = 41;\n\n\t\tfor(int i = 0; i < 4; ++i){\n\t\t\tfor(int j = 1; j <= 7; ++j){\n\t\t\t\tscanf(\"%d\", &x);\n\t\t\t\t\n\t\t\t\tif( x % 10 != 1 ){\n\t\t\t\t\tv[i * 8 + j] = x;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\t\n\t\tqueue<vector<char> > q;\n\t\tq.push(v);\n\t\tq.push( vector<char>() );\n\n\t\tset<vector<char> > st;\n\t\tst.insert(v);\n\n\t\tint t = 0;\n\t\twhile(true){\n\t\t\tif( q.size() == 1 ){\n\t\t\t\tt = -1;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t\t\n\t\t\tv = q.front();\n\t\t\tq.pop();\n\t\t\t\n\t\t\tif( v.empty() ){\n\t\t\t\t++t;\n\t\t\t\tq.push(v);\n\t\t\t\tcontinue;\n\t\t\t}\n\t\t\t\n\t\t\tif( v == goal ){\n\t\t\t\tbreak;\n\t\t\t}\n\n\t\t\tint pos[48] = {};\n\t\t\tfor(int i = 0; i < 4; ++i){\n\t\t\t\tfor(int j = 0; j <= 7; ++j){\n\t\t\t\t\tint p = i * 8 + j;\n\t\t\t\t\tpos[ v[p] ] = p;\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tfor(int i = 0; i < 4; ++i){\n\t\t\t\tfor(int j = 1; j <= 7; ++j){\n\t\t\t\t\tint p = i * 8 + j;\n\t\t\t\t\t\n\t\t\t\t\tif( v[p] == 0 && v[p - 1] % 10 != 7 ){\n\t\t\t\t\t\tvector<char> v2 = v;\n\t\t\t\t\t\tx = v[p - 1];\n\t\t\t\t\t\tv2[p] = x + 1;\n\t\t\t\t\t\tv2[ pos[x + 1] ] = 0;\n\t\t\t\t\t\t\n\t\t\t\t\t\tif( st.find(v2) == st.end() ){\n\t\t\t\t\t\t\tst.insert(v2);\n\t\t\t\t\t\t\tq.push(v2);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\t\n\t\tprintf(\"%d\\n\", t);\n\t}\n}", "java": "\nimport java.util.*;\nimport java.awt.geom.*;\npublic class Main {\n\t//1500 start\n\t\n\tclass C{\n\t\tInteger [][] data;\n\t\tint step,ind;\n\t\tint [] gapx, gapy;\n\t\tpublic C(Integer[][] data, int step, int[] gapx, int[]gapy,int ind) {\n\t\t\tthis.data = data;\n\t\t\tthis.step = step;\n\t\t\tthis.gapx = gapx;\n\t\t\tthis.gapy = gapy;\n\t\t\tthis.ind = ind;\n\t\t}\n\t}\n\t\n\tprivate void doit(){\n\t\tScanner sc = new Scanner(System.in);\n\t\tint dataset = sc.nextInt();\n\t\twhile(dataset-- > 0){\n\t\t\tInteger [][] data = new Integer[4][8];\n\t\t\tfor(int i = 0 ; i < 4; i++){\n\t\t\t\tdata[i][0] = -1;\n\t\t\t\tfor(int j = 1 ; j< 8; j++){\n\t\t\t\t\tdata[i][j] = sc.nextInt();\n\t\t\t\t}\n\t\t\t}\n\t\t\tint [] gapx = new int[4], gapy = new int[4];\n\t\t\tint gapind = 0;\n\t\t\tfor(int i = 0 ; i < 4; i++){\n\t\t\t\tfor(int j = 1; j < 8; j++){\n\t\t\t\t\tif(data[i][j] % 10 == 1){\n\t\t\t\t\t\tint ind = data[i][j] / 10 - 1;\n\t\t\t\t\t\tswap(data, ind, 0, i, j);\n\t\t\t\t\t\tgapx[gapind] = j; gapy[gapind] = i;\n\t\t\t\t\t\tgapind++;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\t//System.out.println(\"gapind = \" + gapind + \" \" + gapx[3] + \" \" + gapy[3]);\n\t\t\t//check\n\t\t\tboolean res = check(data);\n\t\t\tif(res){\n\t\t\t\tSystem.out.println(0);\n\t\t\t}\n\t\t\telse{\n\t\t\t\tSystem.out.println(solve(data, gapx, gapy));\n\t\t\t}\n\t\t}\n\t}\n\t\n\tprivate void disp (Integer [][] data){\n\t\t//debug\n\t\tfor(int i = 0 ; i < 4; i++){\n\t\t\tfor(int j = 0 ; j < 8; j++){\n\t\t\t\tSystem.out.print(data[i][j] + \" \");\n\t\t\t}\n\t\t\tSystem.out.println();\n\t\t}\n\t\tSystem.out.println();\n\t}\n\n\tprivate int solve(Integer [][] d, int [] gapx_, int [] gapy_) {\n\t\tLinkedList<C> open = new LinkedList<C>();\n\t\topen.add(new C(d, 0, gapx_, gapy_, -1));\n\t\tHashMap<String, Integer> close = new HashMap<String, Integer>();\n\t\tclose.put(tostr(d), 0);\n\t\t\n\t\tint ans = -1;\n\t\twhile(! open.isEmpty()){\n\t\t\tC now = open.removeFirst();\n\t\t\t//System.out.println(\"step = \" + now.step);\n\t\t\t//if(now.step== 2) break;\n\t\t\t//disp(now.data);\n\t\t\t\n\t\t\tif(check(now.data)){\n\t\t\t\tans = now.step;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t\tfor(int i = 0; i < 4; i++){\n\t\t\t\tint x =now.gapx[i];\n\t\t\t\tint y = now.gapy[i];\n\t\t\t\tif(now.data[y][x-1] == -1 || now.data[y][x-1] % 10 == 7) continue;\n\t\t\t\t//if(now.ind == i) continue;\n\t\t\t\t\n\t\t\t\tint [] res = find(now.data[y][x-1] + 1, now.data);\n\t\t\t\tif(res[0] == -1) continue;\n\t\t\t\t\n\t\t\t\tInteger [][] next = deepcopy(now.data);\n\t\t\t\tswap(next, y, x, res[0], res[1]);\n\t\t\t\tString s = tostr(next);\n\t\t\t\tif(close.containsKey(s) && close.get(s) <= now.step + 1){\n\t\t\t\t\t//System.out.println(\"PASS \" + i + \" \" + x + \" \" + y) ;\n\t\t\t\t\tcontinue;\n\t\t\t\t}\n\n\t\t\t\tint [] nextx = Arrays.copyOf(now.gapx, 4);\n\t\t\t\tint [] nexty = Arrays.copyOf(now.gapy, 4);\n\t\t\t\tnextx[i] = res[1];\n\t\t\t\tnexty[i] = res[0];\n\t\t\t\topen.add(new C(next, now.step + 1, nextx, nexty, i));\n\t\t\t\tclose.put(s, now.step + 1);\n\t\t\t}\n\t\t}\n\t\t\n\t\t\n\t\treturn ans;\n\t}\n\n\tprivate String tostr(Integer[][] d) {\n\t\tStringBuilder sb = new StringBuilder();\n\t\tfor(int i = 0; i < 4; i++){\n\t\t\tfor(int j = 0; j < 8; j++){\n\t\t\t\tsb.append(d[i][j] + \" \");\n\t\t\t}\n\t\t}\n\t\treturn sb.toString();\n\t}\n\n\tprivate Integer[][] deepcopy(Integer[][] data) {\n\t\tInteger [][] data2 = new Integer[4][8];\n\t\tfor(int i = 0 ; i < 4; i++){\n\t\t\tfor(int j = 0 ; j < 8; j++){\n\t\t\t\t\tdata2[i][j] = data[i][j];\n\t\t\t}\n\t\t}\n\t\treturn data2;\n\t}\n\n\tprivate int[] find(int num, Integer [][] data) {\n\t\tfor(int i = 0; i < 4; i++){\n\t\t\tfor(int j = 1 ; j < 8; j ++){\n\t\t\t\tif(data[i][j] == num){\n\t\t\t\t\tint [] res = {i,j};\n\t\t\t\t\treturn res;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tint [] not = {-1,-1};\n\t\treturn not;\n\t}\n\n\tprivate boolean check(Integer[][] data) {\n\t\tfor(int i =0; i < 4; i++){\n\t\t\tint checknum = (i+1) * 10 + 1;\n\t\t\tfor(int j = 0; j < 7; j++){\n\t\t\t\tif(data[i][j] == checknum){\n\t\t\t\t\tchecknum++;\n\t\t\t\t}\n\t\t\t\telse{\n\t\t\t\t\treturn false;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\treturn true;\n\t}\n\n\tprivate void swap(Integer[][] data, int ind, int j, int i2, int j2) {\n\t\tint temp = data[ind][j];\n\t\tdata[ind][j] = data[i2][j2];\n\t\tdata[i2][j2] = temp;\n\t}\n\n\tpublic static void main(String[] args) {\n\t\tMain obj = new Main();\n\t\tobj.doit();\n\t}\n}", "python": null }
AIZU/p00955
# Cover the Polygon with Your Disk Example Input 4 4 0 0 6 0 6 6 0 6 Output 35.759506
[ { "input": { "stdin": "4 4\n0 0\n6 0\n6 6\n0 6" }, "output": { "stdout": "35.759506" } }, { "input": { "stdin": "4 2\n1 -2\n4 -4\n2 6\n-2 16" }, "output": { "stdout": "9.3054881039\n" } }, { "input": { "stdin": "4 4\n1 1\n6 -1\n6 2\n0 6" }, "output": { "stdout": "20.1039753607\n" } }, { "input": { "stdin": "4 2\n0 -2\n4 -7\n2 6\n-2 16" }, "output": { "stdout": "11.1223490224\n" } }, { "input": { "stdin": "4 1\n1 -1\n6 -1\n11 6\n0 9" }, "output": { "stdout": "3.1415926394\n" } }, { "input": { "stdin": "4 2\n1 -2\n4 -7\n2 6\n-2 16" }, "output": { "stdout": "8.6057253363\n" } }, { "input": { "stdin": "5 1\n0 -1\n6 0\n6 1\n1 9" }, "output": { "stdout": "3.1415926392\n" } }, { "input": { "stdin": "3 2\n-4 2\n3 -4\n5 -1\n0 1" }, "output": { "stdout": "10.1091328393\n" } }, { "input": { "stdin": "4 1\n1 -1\n6 -1\n8 6\n-1 9" }, "output": { "stdout": "3.1415926384\n" } }, { "input": { "stdin": "4 1\n1 -1\n15 0\n16 5\n-1 9" }, "output": { "stdout": "3.1415926308\n" } }, { "input": { "stdin": "8 1\n1 0\n12 0\n8 3\n-1 7" }, "output": { "stdout": "3.1415926071\n" } }, { "input": { "stdin": "4 1\n1 0\n6 0\n6 8\n0 6" }, "output": { "stdout": "3.1415926386\n" } }, { "input": { "stdin": "4 7\n0 1\n6 -1\n6 6\n0 6" }, "output": { "stdout": "35.9999999921\n" } }, { "input": { "stdin": "4 1\n0 0\n6 0\n6 6\n0 6" }, "output": { "stdout": "3.1415926283\n" } }, { "input": { "stdin": "4 2\n0 -2\n4 -4\n5 3\n-2 9" }, "output": { "stdout": "12.5663705942\n" } }, { "input": { "stdin": "4 3\n-1 0\n3 0\n9 6\n0 6" }, "output": { "stdout": "27.2148573498\n" } }, { "input": { "stdin": "4 2\n0 0\n6 -1\n6 6\n0 9" }, "output": { "stdout": "12.5663705909\n" } }, { "input": { "stdin": "4 1\n0 -1\n7 -3\n0 0\n-1 13" }, "output": { "stdout": "1.5718238863\n" } }, { "input": { "stdin": "4 2\n0 -2\n4 -4\n5 6\n-2 9" }, "output": { "stdout": "12.5663705882\n" } }, { "input": { "stdin": "4 1\n0 0\n2 1\n6 6\n1 10" }, "output": { "stdout": "3.1415926303\n" } }, { "input": { "stdin": "4 4\n0 1\n6 0\n6 12\n0 6" }, "output": { "stdout": "41.5258612233\n" } }, { "input": { "stdin": "4 4\n1 1\n6 0\n6 6\n0 5" }, "output": { "stdout": "27.4999999920\n" } }, { "input": { "stdin": "5 1\n1 -1\n2 1\n16 6\n0 4" }, "output": { "stdout": "3.1415926391\n" } }, { "input": { "stdin": "4 1\n0 -1\n7 -2\n0 0\n-1 13" }, "output": { "stdout": "1.6288264880\n" } }, { "input": { "stdin": "8 1\n1 0\n12 0\n15 3\n0 7" }, "output": { "stdout": "3.1415924856\n" } }, { "input": { "stdin": "4 2\n0 0\n6 0\n6 6\n0 6" }, "output": { "stdout": "12.5663705873\n" } }, { "input": { "stdin": "4 4\n1 1\n6 0\n6 6\n0 6" }, "output": { "stdout": "29.8964901845\n" } }, { "input": { "stdin": "4 2\n-1 1\n7 0\n9 6\n0 6" }, "output": { "stdout": "12.5663705886\n" } }, { "input": { "stdin": "4 2\n0 0\n6 0\n9 6\n0 6" }, "output": { "stdout": "12.5663705853\n" } }, { "input": { "stdin": "4 2\n-3 -1\n9 2\n6 1\n0 11" }, "output": { "stdout": "12.5663705876\n" } }, { "input": { "stdin": "4 4\n0 0\n6 0\n6 12\n0 6" }, "output": { "stdout": "42.4252927835\n" } }, { "input": { "stdin": "4 3\n-1 0\n3 -1\n9 6\n0 6" }, "output": { "stdout": "28.2466843687\n" } }, { "input": { "stdin": "4 2\n0 -2\n4 -2\n5 3\n-2 9" }, "output": { "stdout": "12.5663705814\n" } }, { "input": { "stdin": "4 2\n-3 -1\n9 2\n6 0\n0 11" }, "output": { "stdout": "12.5663701834\n" } }, { "input": { "stdin": "4 1\n0 -1\n4 -2\n5 3\n0 9" }, "output": { "stdout": "3.1415926361\n" } }, { "input": { "stdin": "2 1\n-1 -1\n6 0\n6 6\n0 9" }, "output": { "stdout": "0.0000000000\n" } }, { "input": { "stdin": "5 1\n1 -1\n2 1\n8 6\n0 4" }, "output": { "stdout": "3.1415926382\n" } }, { "input": { "stdin": "4 1\n0 -1\n6 0\n6 1\n0 9" }, "output": { "stdout": "3.1415926368\n" } }, { "input": { "stdin": "4 1\n1 -1\n12 1\n16 5\n1 9" }, "output": { "stdout": "3.1415926306\n" } }, { "input": { "stdin": "4 1\n-1 -1\n6 0\n6 1\n0 9" }, "output": { "stdout": "3.1415926321\n" } }, { "input": { "stdin": "2 1\n0 -1\n6 0\n6 6\n0 9" }, "output": { "stdout": "0.0000000000\n" } }, { "input": { "stdin": "4 2\n-1 -1\n4 -2\n5 3\n-2 9" }, "output": { "stdout": "12.5663705890\n" } }, { "input": { "stdin": "4 1\n0 0\n2 1\n6 6\n0 6" }, "output": { "stdout": "3.1415926301\n" } }, { "input": { "stdin": "4 1\n1 -1\n12 1\n16 5\n0 9" }, "output": { "stdout": "3.1415925582\n" } }, { "input": { "stdin": "4 2\n0 -2\n4 -2\n10 3\n-2 9" }, "output": { "stdout": "12.5663705730\n" } }, { "input": { "stdin": "8 1\n1 0\n12 0\n8 3\n0 5" }, "output": { "stdout": "3.1415926366\n" } }, { "input": { "stdin": "4 1\n0 0\n2 0\n6 6\n0 4" }, "output": { "stdout": "3.1415926378\n" } }, { "input": { "stdin": "4 1\n0 0\n6 0\n6 6\n0 9" }, "output": { "stdout": "3.1415926337\n" } }, { "input": { "stdin": "4 1\n1 -1\n12 0\n16 9\n-1 9" }, "output": { "stdout": "3.1415926335\n" } }, { "input": { "stdin": "4 1\n0 0\n6 -1\n9 6\n0 9" }, "output": { "stdout": "3.1415926286\n" } } ]
{ "tags": [], "title": "Cover the Polygon with Your Disk" }
{ "cpp": "#include<bits/stdc++.h>\ntypedef long long int ll;\ntypedef unsigned long long int ull;\n#define BIG_NUM 2000000000\n#define HUGE_NUM 99999999999999999\n#define MOD 1000000007\n#define EPS 0.000000001\nusing namespace std;\n\n\n\n\nstruct Point{\n\tPoint(double arg_x,double arg_y){\n\t\tx = arg_x;\n\t\ty = arg_y;\n\t}\n\n\tPoint(){\n\t\tx = y = 0.0;\n\t}\n\n\tPoint operator + (Point p){ return Point(x+p.x,y+p.y); }\n\tPoint operator - (Point p){ return Point(x-p.x,y-p.y);}\n\tPoint operator * (double a){ return Point(a*x,a*y); }\n\tPoint operator / (double a){ return Point(x/a,y/a); }\n\n\tdouble abs(){ return sqrt(norm()); }\n\tdouble norm(){ return x*x + y*y; }\n\n\tbool operator<(const Point &p) const{\n\t\treturn x != p.x? x < p.x: y < p.y;\n\t}\n\n\tbool operator == (const Point &p) const{\n\t\treturn fabs(x-p.x) < EPS && fabs(y-p.y) < EPS;\n\t}\n\n\tdouble x,y;\n};\n\ntypedef Point Vector;\ntypedef vector<Point> Polygon;\n\nstruct Circle{\n\tPoint center;\n\tdouble r;\n};\n\nstruct Line{\n\tPoint p[2];\n\tLine(Point p1,Point p2){\n\t\tp[0] = p1;\n\t\tp[1] = p2;\n\t}\n\tLine(){\n\n\t}\n};\n\nint N;\ndouble r;\ndouble min_x,max_x,min_y,max_y;\nbool is_out[15];\nPolygon POLYGON;\n\n\ndouble norm(Vector a){\n\treturn a.x*a.x+a.y*a.y;\n}\n\ndouble abs(Vector a){\n\treturn sqrt(norm(a));\n}\n\ndouble cross(Vector a,Vector b){\n return a.x*b.y-a.y*b.x;\n}\n\ndouble dot(Vector a,Vector b){\n return a.x*b.x + a.y*b.y;\n}\n\nPoint project(Line l,Point p){\n\n\tVector base = l.p[1]-l.p[0];\n\tdouble r = dot(p-l.p[0],base)/norm(base);\n\treturn l.p[0]+base*r;\n}\n\n//円と直線の交点を求める関数\nvector<Point> getCrossPoints(Circle c,Line l){\n\n\tvector<Point> ret;\n\n\tVector pr = project(l,c.center);\n\tVector e = (l.p[1]-l.p[0])/abs(l.p[1]-l.p[0]);\n\n\tdouble base;\n\n\tif(fabs(c.r*c.r-norm(pr-c.center)) < EPS){\n\n\t\tbase = 0;\n\t}else{\n\t\tbase = sqrt(c.r*c.r-norm(pr-c.center));\n\t}\n\n\tret.push_back(Point(pr+e*base));\n\tret.push_back(Point(pr-e*base));\n\n\treturn ret;\n}\n\nPoint calc_minus(Point a,Point b){\n Point ret;\n\n ret.x = a.x-b.x;\n ret.y = a.y-b.y;\n\n return ret;\n}\n\ndouble calc_len(Vector a){\n return sqrt(a.x*a.x+a.y*a.y);\n}\n\ndouble calc_slope(Line A){\n\n\tif(fabs(A.p[0].x-A.p[1].x) < EPS){\n\n\t\treturn DBL_MAX;\n\n\t}else if(fabs(A.p[0].y-A.p[1].y) < EPS){\n\n\t\treturn 0;\n\n\t}else{\n\n\t\treturn (A.p[0].y-A.p[1].y)/(A.p[0].x-A.p[1].x);\n\t}\n}\n\n//★★線分ではなく直線と点の距離★★\ndouble getDistanceLP(Line l,Point p){\n return fabs(cross(calc_minus(l.p[1],l.p[0]),calc_minus(p,l.p[0]))/calc_len(calc_minus(l.p[1],l.p[0])));\n}\n\n//★★点と線分の距離★★\ndouble getDistanceSP(Line l,Point p){\n\tif(dot(calc_minus(l.p[1],l.p[0]),calc_minus(p,l.p[0])) < 0.0)return calc_len(calc_minus(p,l.p[0]));\n\tif(dot(calc_minus(l.p[0],l.p[1]),calc_minus(p,l.p[1])) < 0.0)return calc_len(calc_minus(p,l.p[1]));\n\treturn getDistanceLP(l,p);\n}\n\ndouble calc_S(Polygon g){\n\n\tint N = g.size();\n\tdouble ret = 0;\n\n\tfor(int i = 0; i < g.size(); i++){\n\t\tret += cross(g[i],g[(i+1)%N]);\n\t}\n\treturn ret/2.0;\n}\n\ndouble calc_dist(Point A,Point B){\n\n\treturn sqrt((A.x-B.x)*(A.x-B.x)+(A.y-B.y)*(A.y-B.y));\n}\n\n//交点を求める関数\nPoint calc_Cross_Point(double x1,double x2,double x3,double x4,double y1,double y2,double y3,double y4){\n\tPoint ret;\n\tret.x = ((x2-x1)*(y3*(x4-x3)+x3*(y3-y4))-(x4-x3)*(y1*(x2-x1)+x1*(y1-y2)))/((y2-y1)*(x4-x3)-(y4-y3)*(x2-x1));\n\tif(x1 != x2){\n\t\tret.y = ((y2-y1)*ret.x+y1*(x2-x1)+x1*(y1-y2))/(x2-x1);\n\t}else{\n\t\tret.y = ((y4-y3)*ret.x+y3*(x4-x3)+x3*(y3-y4))/(x4-x3);\n\t}\n\treturn ret;\n}\n\n//インタフェース関数\nPoint calc_Cross_Point(Point a,Point b,Point c,Point d){\n\treturn calc_Cross_Point(a.x,b.x,c.x,d.x,a.y,b.y,c.y,d.y);\n}\n\nPoint calc_Cross_Point(Line A,Line B){\n\n\tif(getDistanceSP(B,A.p[0]) < EPS){\n\n\t\treturn A.p[0];\n\n\t}else if(getDistanceSP(B,A.p[1]) < EPS){\n\n\t\treturn A.p[1];\n\n\t}else if(getDistanceSP(A,B.p[0]) < EPS){\n\n\t\treturn B.p[0];\n\n\t}else if(getDistanceSP(A,B.p[1]) < EPS){\n\n\t\treturn B.p[1];\n\t}\n\n\treturn calc_Cross_Point(A.p[0],A.p[1],B.p[0],B.p[1]);\n}\n\n\n//円とポリゴンの共通面積を求める\ndouble calc_common_S(Circle circle,Polygon polygon){\n\n\t//それぞれの頂点が、円の内部にあるか否かを調べる\n\tfor(int i = 0; i < N; i++){\n\n\t\tdouble tmp_dist = calc_dist(polygon[i],circle.center);\n\n\t\tif(tmp_dist <= circle.r){\n\n\t\t\tis_out[i] = false; //中\n\n\t\t}else{\n\n\t\t\tis_out[i] = true; //外\n\t\t}\n\t}\n\n\tdouble ret = 0;\n\n\tfor(int i = 0; i < N; i++){\n\n\t\tPoint left = polygon[i];\n\t\tPoint right = polygon[(i+1)%N];\n\n\t\tLine tmp_line = Line(left,right);\n\t\tdouble tmp_dist = getDistanceSP(tmp_line,circle.center);\n\n\t\tif(is_out[i] == false && is_out[(i+1)%N] == false){ //両方中\n\n\t\t\tPolygon tmp;\n\t\t\ttmp.push_back(circle.center);\n\t\t\ttmp.push_back(right);\n\t\t\ttmp.push_back(left);\n\n\n\t\t\tret += calc_S(tmp);\n\n\t\t}else if(is_out[i] == true && is_out[(i+1)%N] == true){ //両方外\n\n\t\t\t//printf(\"点%dと点%dは両方外\\n\",i,(i+1)%N);\n\n\t\t\tif(tmp_dist > circle.r){ //両方外かつ交点なし:扇形\n\n\t\t\t\tVector vec1 = left-circle.center;\n\t\t\t\tVector vec2 = right-circle.center;\n\n\t\t\t\tdouble theta = acos(dot(vec1,vec2)/(abs(vec1)*abs(vec2)));\n\n\t\t\t\tret += (r*r*theta)/2;\n\n\t\t\t}else{ //交点あり\n\n\t\t\t\tvector<Point> cross_points = getCrossPoints(circle,Line(left,right));\n\t\t\t\tif(calc_dist(left,cross_points[1]) < calc_dist(left,cross_points[0])){\n\n\t\t\t\t\tswap(cross_points[0],cross_points[1]);\n\t\t\t\t}\n\n\t\t\t\t//左側扇形\n\t\t\t\tVector vec1 = left-circle.center;\n\t\t\t\tVector vec2 = cross_points[0]-circle.center;\n\n\t\t\t\tdouble theta = acos(dot(vec1,vec2)/(abs(vec1)*abs(vec2)));\n\n\t\t\t\tret += (r*r*theta)/2;\n\n\t\t\t\t//三角形\n\t\t\t\tPolygon tmp;\n\t\t\t\ttmp.push_back(circle.center);\n\t\t\t\ttmp.push_back(cross_points[1]);\n\t\t\t\ttmp.push_back(cross_points[0]);\n\n\t\t\t\tret += calc_S(tmp);\n\n\t\t\t\t//右側扇形\n\t\t\t\tVector vec3 = cross_points[1]-circle.center;\n\t\t\t\tVector vec4 = right-circle.center;\n\n\t\t\t\tdouble theta2 = acos(dot(vec3,vec4)/(abs(vec3)*abs(vec4)));\n\n\t\t\t\tret += (r*r*theta2)/2;\n\t\t\t}\n\n\t\t}else{\n\n\t\t\tif(is_out[i] == true){ //leftが外\n\n\t\t\t\tvector<Point> cross_points = getCrossPoints(circle,Line(left,right));\n\n\t\t\t\t//leftに近い方が交点\n\t\t\t\tPoint cross_point;\n\t\t\t\tif(calc_dist(left,cross_points[0]) < calc_dist(left,cross_points[1])){\n\n\t\t\t\t\tcross_point = cross_points[0];\n\n\t\t\t\t}else{\n\n\t\t\t\t\tcross_point = cross_points[1];\n\t\t\t\t}\n\n\t\t\t\t//左扇\n\t\t\t\tVector vec1 = left-circle.center;\n\t\t\t\tVector vec2 = cross_point-circle.center;\n\n\t\t\t\tdouble theta = acos(dot(vec1,vec2)/(abs(vec1)*abs(vec2)));\n\n\t\t\t\tret += (r*r*theta)/2;\n\n\t\t\t\t//三角形\n\t\t\t\tPolygon tmp;\n\t\t\t\ttmp.push_back(circle.center);\n\t\t\t\ttmp.push_back(right);\n\t\t\t\ttmp.push_back(cross_point);\n\n\t\t\t\tret += calc_S(tmp);\n\n\t\t\t}else{ //rightが外\n\n\t\t\t\tvector<Point> cross_points = getCrossPoints(circle,Line(left,right));\n\n\t\t\t\t//rightに近い方が交点\n\t\t\t\tPoint cross_point;\n\t\t\t\tif(calc_dist(right,cross_points[0]) < calc_dist(right,cross_points[1])){\n\n\t\t\t\t\tcross_point = cross_points[0];\n\n\t\t\t\t}else{\n\n\t\t\t\t\tcross_point = cross_points[1];\n\t\t\t\t}\n\n\t\t\t\t//三角形\n\t\t\t\tPolygon tmp;\n\t\t\t\ttmp.push_back(circle.center);\n\t\t\t\ttmp.push_back(cross_point);\n\t\t\t\ttmp.push_back(left);\n\n\t\t\t\tret += calc_S(tmp);\n\n\t\t\t\t//右扇\n\t\t\t\tVector vec1 = cross_point-circle.center;\n\t\t\t\tVector vec2 = right-circle.center;\n\n\t\t\t\tdouble theta = acos(dot(vec1,vec2)/(abs(vec1)*abs(vec2)));\n\n\t\t\t\tret += (r*r*theta)/2;\n\t\t\t}\n\t\t}\n\t}\n\n\treturn ret;\n}\n\n\nint func(double x1,double y1,double x2, double y2, double xp, double yp){\n\tdouble naiseki,norm1,norm2,gaiseki;\n\tnorm1 = sqrt((x2-x1)*(x2-x1)+(y2-y1)*(y2-y1));\n\tnorm2 = sqrt((xp-x1)*(xp-x1)+(yp-y1)*(yp-y1));\n\tnaiseki = (xp-x1)*(x2-x1)+(yp-y1)*(y2-y1);\n\tgaiseki = (x2-x1)*(yp-y1)-(xp-x1)*(y2-y1);\n\tif(gaiseki > EPS){\n\t\treturn 1;\n\t}else if(gaiseki < -EPS){\n\t\treturn -1;\n\t}\n\tif(naiseki < -EPS){\n\t\treturn 2;\n\t}\n\n\tif(norm1 < norm2){\n\t\treturn -2;\n\t}\n\treturn 0;\n}\n\n\nbool is_Cross(Line a,Line b){\n\n\tif(func(a.p[0].x,a.p[0].y,a.p[1].x,a.p[1].y,b.p[0].x,b.p[0].y)*\n\t\t\tfunc(a.p[0].x,a.p[0].y,a.p[1].x,a.p[1].y,b.p[1].x,b.p[1].y) <= 0 &&\n\t\t\tfunc(b.p[0].x,b.p[0].y,b.p[1].x,b.p[1].y,a.p[0].x,a.p[0].y)*\n\t\t\tfunc(b.p[0].x,b.p[0].y,b.p[1].x,b.p[1].y,a.p[1].x,a.p[1].y) <= 0){\n\t\treturn true;\n\t}\n\treturn false;\n}\n\ndouble thirds_searchY(double X){\n\n\tdouble L = max_y,R = min_y;\n\n\t//交点を持つy座標の範囲を求める\n\tLine line = Line(Point(X,-1000),Point(X,1000));\n\n\tbool FLG = false;\n\n\tfor(int i = 0; i < N; i++){\n\n\t\tLine tmp = Line(POLYGON[i],POLYGON[(i+1)%N]);\n\n\t\tif(is_Cross(line,tmp)){\n\n\t\t\tPoint p = calc_Cross_Point(tmp,line);\n\t\t\tL = min(L,p.y);\n\t\t\tR = max(R,p.y);\n\n\t\t\tFLG = true;\n\t\t}\n\t}\n\n\tif(!FLG)return 0;\n\n\n\tfor(int loop = 0; loop < 100; loop++){\n\n\t\tdouble mid1 = (2.0*L+R)/3.0;\n\t\tdouble mid2 = (1.0*L+2.0*R)/3.0;\n\n\t\tCircle circle1,circle2;\n\n\t\tcircle1.center.x = X;\n\t\tcircle1.center.y = mid1;\n\t\tcircle1.r = r;\n\n\t\tcircle2.center.x = X;\n\t\tcircle2.center.y = mid2;\n\t\tcircle2.r = r;\n\n\t\tif(calc_common_S(circle1,POLYGON) > calc_common_S(circle2,POLYGON)){\n\n\t\t\tR = mid2;\n\t\t}else{\n\n\t\t\tL = mid1;\n\t\t}\n\t}\n\n\tCircle circle;\n\tcircle.center.x = X;\n\tcircle.center.y = (L+R)/2;\n\tcircle.r = r;\n\n\treturn calc_common_S(circle,POLYGON);\n}\n\ndouble thirds_searchX(){\n\n\tdouble L = min_x,R = max_x;\n\n\tfor(int loop = 0; loop < 100; loop++){\n\n\t\tdouble mid1 = (2.0*L+R)/3.0;\n\t\tdouble mid2 = (1.0*L+2.0*R)/3.0;\n\n\t\tif(thirds_searchY(mid1) > thirds_searchY(mid2)){\n\n\t\t\tR = mid2;\n\t\t}else{\n\n\t\t\tL = mid1;\n\t\t}\n\t}\n\n\treturn thirds_searchY((L+R)/2);\n}\n\n\nint main(){\n\n\tscanf(\"%d %lf\",&N,&r);\n\n\tmin_x = BIG_NUM;\n\tmin_y = BIG_NUM;\n\n\tmax_x = -BIG_NUM;\n\tmax_y = -BIG_NUM;\n\n\tfor(int i = 0; i < N; i++){\n\n\t\tdouble x,y;\n\t\tscanf(\"%lf %lf\",&x,&y);\n\n\t\tmin_x = min(min_x,x);\n\t\tmin_y = min(min_y,y);\n\n\t\tmax_x = max(max_x,x);\n\t\tmax_y = max(max_y,y);\n\n\t\tPOLYGON.push_back(Point(x,y));\n\t}\n\n\treverse(POLYGON.begin(),POLYGON.end());\n\n\tprintf(\"%.10lf\\n\",thirds_searchX());\n\n\treturn 0;\n}\n\n", "java": null, "python": null }
AIZU/p01088
# 500-yen Saving 500-yen Saving "500-yen Saving" is one of Japanese famous methods to save money. The method is quite simple; whenever you receive a 500-yen coin in your change of shopping, put the coin to your 500-yen saving box. Typically, you will find more than one million yen in your saving box in ten years. Some Japanese people are addicted to the 500-yen saving. They try their best to collect 500-yen coins efficiently by using 1000-yen bills and some coins effectively in their purchasing. For example, you will give 1320 yen (one 1000-yen bill, three 100-yen coins and two 10-yen coins) to pay 817 yen, to receive one 500-yen coin (and three 1-yen coins) in the change. A friend of yours is one of these 500-yen saving addicts. He is planning a sightseeing trip and wants to visit a number of souvenir shops along his way. He will visit souvenir shops one by one according to the trip plan. Every souvenir shop sells only one kind of souvenir goods, and he has the complete list of their prices. He wants to collect as many 500-yen coins as possible through buying at most one souvenir from a shop. On his departure, he will start with sufficiently many 1000-yen bills and no coins at all. The order of shops to visit cannot be changed. As far as he can collect the same number of 500-yen coins, he wants to cut his expenses as much as possible. Let's say that he is visiting shops with their souvenir prices of 800 yen, 700 yen, 1600 yen, and 600 yen, in this order. He can collect at most two 500-yen coins spending 2900 yen, the least expenses to collect two 500-yen coins, in this case. After skipping the first shop, the way of spending 700-yen at the second shop is by handing over a 1000-yen bill and receiving three 100-yen coins. In the next shop, handing over one of these 100-yen coins and two 1000-yen bills for buying a 1600-yen souvenir will make him receive one 500-yen coin. In almost the same way, he can obtain another 500-yen coin at the last shop. He can also collect two 500-yen coins buying at the first shop, but his total expenditure will be at least 3000 yen because he needs to buy both the 1600-yen and 600-yen souvenirs in this case. You are asked to make a program to help his collecting 500-yen coins during the trip. Receiving souvenirs' prices listed in the order of visiting the shops, your program is to find the maximum number of 500-yen coins that he can collect during his trip, and the minimum expenses needed for that number of 500-yen coins. For shopping, he can use an arbitrary number of 1-yen, 5-yen, 10-yen, 50-yen, and 100-yen coins he has, and arbitrarily many 1000-yen bills. The shop always returns the exact change, i.e., the difference between the amount he hands over and the price of the souvenir. The shop has sufficient stock of coins and the change is always composed of the smallest possible number of 1-yen, 5-yen, 10-yen, 50-yen, 100-yen, and 500-yen coins and 1000-yen bills. He may use more money than the price of the souvenir, even if he can put the exact money, to obtain desired coins as change; buying a souvenir of 1000 yen, he can hand over one 1000-yen bill and five 100-yen coins and receive a 500-yen coin. Note that using too many coins does no good; handing over ten 100-yen coins and a 1000-yen bill for a souvenir of 1000 yen, he will receive a 1000-yen bill as the change, not two 500-yen coins. Input The input consists of at most 50 datasets, each in the following format. > n > p1 > ... > pn > n is the number of souvenir shops, which is a positive integer not greater than 100. pi is the price of the souvenir of the i-th souvenir shop. pi is a positive integer not greater than 5000. The end of the input is indicated by a line with a single zero. Output For each dataset, print a line containing two integers c and s separated by a space. Here, c is the maximum number of 500-yen coins that he can get during his trip, and s is the minimum expenses that he need to pay to get c 500-yen coins. Sample Input 4 800 700 1600 600 4 300 700 1600 600 4 300 700 1600 650 3 1000 2000 500 3 250 250 1000 4 1251 667 876 299 0 Output for the Sample Input 2 2900 3 2500 3 3250 1 500 3 1500 3 2217 Example Input 4 800 700 1600 600 4 300 700 1600 600 4 300 700 1600 650 3 1000 2000 500 3 250 250 1000 4 1251 667 876 299 0 Output 2 2900 3 2500 3 3250 1 500 3 1500 3 2217
[ { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n600\n4\n300\n700\n1600\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n667\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 2500\n3 3250\n1 500\n3 1500\n3 2217" } }, { "input": { "stdin": "4\n800\n772\n2628\n600\n4\n300\n660\n1600\n30\n4\n300\n700\n1600\n219\n3\n1000\n2000\n249\n3\n250\n159\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 4000\n3 990\n3 1219\n1 249\n3 1409\n4 4017\n" } }, { "input": { "stdin": "4\n835\n221\n1600\n600\n4\n300\n1205\n3117\n15\n4\n324\n272\n8\n32\n0\n1011\n2000\n603\n5\n250\n250\n1000\n4\n1459\n1150\n698\n217\n0" }, "output": { "stdout": "3 2421\n4 4637\n4 636\n" } }, { "input": { "stdin": "4\n835\n221\n1600\n600\n4\n300\n1205\n3117\n15\n4\n324\n398\n8\n32\n0\n1011\n2000\n569\n5\n250\n250\n1000\n4\n1459\n1150\n698\n217\n0" }, "output": { "stdout": "3 2421\n4 4637\n4 762\n" } }, { "input": { "stdin": "4\n800\n772\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n2353\n142\n3\n1000\n2000\n249\n3\n250\n250\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2972\n3 1030\n4 3495\n1 249\n3 1500\n4 4017\n" } }, { "input": { "stdin": "4\n835\n221\n1600\n600\n4\n775\n1205\n3117\n20\n4\n324\n398\n8\n54\n0\n1011\n2000\n451\n5\n139\n250\n1000\n3\n1459\n2369\n435\n217\n0" }, "output": { "stdout": "3 2421\n3 4342\n4 784\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n0\n300\n700\n1600\n30\n4\n300\n700\n1600\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n1191\n876\n299\n0" }, "output": { "stdout": "2 2900\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n1466\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 3250\n1 500\n3 1500\n3 3016\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n558\n4\n300\n700\n585\n30\n4\n502\n129\n3132\n219\n0\n1100\n2000\n64\n3\n195\n227\n1010\n4\n1167\n1466\n1004\n299\n-1" }, "output": { "stdout": "2 2858\n3 915\n3 3480\n" } }, { "input": { "stdin": "4\n800\n772\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n142\n3\n1000\n2000\n249\n3\n250\n250\n1010\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2972\n3 1030\n3 1142\n1 249\n3 1510\n4 4017\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n262\n700\n1600\n219\n3\n1000\n2000\n249\n3\n259\n264\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 1181\n1 249\n2 523\n4 4017\n" } }, { "input": { "stdin": "4\n1595\n724\n2888\n600\n4\n300\n1048\n1600\n30\n4\n262\n593\n1600\n219\n3\n0000\n2000\n249\n3\n259\n250\n1000\n4\n1251\n1466\n1001\n153\n0" }, "output": { "stdout": "2 2919\n4 2978\n4 2674\n1 249\n2 509\n4 3871\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n219\n0\n1000\n2000\n249\n3\n250\n250\n1000\n4\n1251\n1466\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 1219\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n676\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n667\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 2326\n1 500\n3 1500\n3 2217\n" } }, { "input": { "stdin": "4\n835\n221\n1600\n600\n4\n300\n1205\n1600\n30\n4\n300\n272\n1600\n650\n3\n1001\n2000\n618\n3\n250\n250\n1000\n4\n1071\n1150\n698\n299\n0" }, "output": { "stdout": "3 2421\n4 3135\n4 2822\n2 1619\n3 1500\n4 3218\n" } }, { "input": { "stdin": "4\n835\n221\n1600\n600\n4\n775\n1205\n3117\n20\n4\n324\n398\n2\n54\n0\n1011\n2000\n451\n5\n139\n250\n1000\n3\n1459\n2369\n435\n217\n0" }, "output": { "stdout": "3 2421\n3 4342\n4 778\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n219\n3\n1000\n2000\n249\n3\n250\n250\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 1219\n1 249\n3 1500\n4 4017\n" } }, { "input": { "stdin": "4\n835\n221\n1600\n600\n4\n300\n1205\n1600\n30\n4\n300\n272\n141\n650\n0\n1011\n2000\n618\n3\n250\n250\n1000\n4\n1459\n1150\n698\n299\n0" }, "output": { "stdout": "3 2421\n4 3135\n4 1363\n" } }, { "input": { "stdin": "4\n800\n772\n1600\n600\n4\n109\n700\n1600\n30\n4\n300\n700\n1600\n219\n3\n1000\n2000\n249\n3\n250\n159\n1000\n4\n1914\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2972\n4 2439\n3 1219\n1 249\n3 1409\n3 2766\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n2393\n650\n3\n1000\n2000\n71\n3\n250\n250\n1000\n4\n1251\n1241\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 3343\n1 71\n3 1500\n4 3667\n" } }, { "input": { "stdin": "4\n1595\n700\n2888\n600\n4\n300\n1048\n1600\n30\n4\n262\n593\n1600\n219\n3\n0000\n2000\n249\n3\n259\n250\n1000\n4\n1251\n1466\n1001\n153\n0" }, "output": { "stdout": "2 2895\n4 2978\n4 2674\n1 249\n2 509\n4 3871\n" } }, { "input": { "stdin": "4\n800\n772\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n219\n3\n1100\n2000\n249\n3\n250\n426\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2972\n3 1030\n3 1219\n2 1349\n2 676\n4 4017\n" } }, { "input": { "stdin": "4\n800\n492\n1600\n600\n4\n72\n700\n1600\n30\n4\n300\n700\n1600\n219\n3\n1000\n79\n500\n3\n338\n250\n1000\n4\n731\n1466\n876\n299\n0" }, "output": { "stdout": "3 3492\n4 2402\n3 1219\n2 579\n2 588\n2 1765\n" } }, { "input": { "stdin": "4\n800\n779\n1600\n600\n0\n300\n700\n1600\n30\n4\n300\n700\n1600\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n1191\n876\n292\n0" }, "output": { "stdout": "2 2979\n" } }, { "input": { "stdin": 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"4\n800\n700\n1600\n600\n4\n300\n700\n1600\n600\n4\n300\n700\n1600\n206\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n667\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 2500\n3 1206\n1 500\n3 1500\n3 2217\n" } }, { "input": { "stdin": "4\n800\n243\n1600\n600\n0\n300\n700\n1600\n30\n4\n300\n700\n1600\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n1191\n876\n445\n0" }, "output": { "stdout": "3 2443\n" } }, { "input": { "stdin": "4\n1595\n724\n2888\n600\n4\n300\n1048\n1600\n30\n4\n262\n593\n1600\n219\n3\n0000\n2000\n375\n3\n259\n250\n1000\n4\n1251\n1466\n1011\n153\n0" }, "output": { "stdout": "2 2919\n4 2978\n4 2674\n1 375\n2 509\n4 3881\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n72\n700\n1600\n30\n4\n300\n700\n1600\n219\n3\n1000\n79\n500\n3\n338\n250\n1000\n4\n731\n1466\n876\n299\n0" }, "output": { "stdout": "2 2900\n4 2402\n3 1219\n2 579\n2 588\n2 1765\n" } }, { "input": { "stdin": 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"4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n667\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 3250\n1 500\n3 1500\n3 2217\n" } }, { "input": { "stdin": "4\n800\n772\n1600\n600\n4\n38\n700\n1600\n30\n4\n300\n700\n1600\n219\n3\n1100\n2000\n249\n3\n250\n426\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2972\n4 2368\n3 1219\n2 1349\n2 676\n4 4017\n" } }, { "input": { "stdin": "4\n800\n221\n1600\n600\n4\n300\n1205\n1600\n30\n4\n300\n700\n1600\n650\n3\n1001\n2000\n638\n3\n250\n250\n1000\n4\n1071\n1150\n698\n299\n0" }, "output": { "stdout": "3 2421\n4 3135\n3 3250\n2 1639\n3 1500\n4 3218\n" } }, { "input": { "stdin": "4\n800\n700\n2888\n600\n4\n300\n929\n1600\n30\n4\n262\n593\n1600\n219\n3\n0000\n2000\n249\n3\n259\n250\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 4988\n3 1930\n4 2674\n1 249\n2 509\n4 4017\n" } }, { "input": { "stdin": 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"4\n835\n221\n1600\n600\n4\n300\n1205\n1600\n15\n4\n324\n272\n106\n32\n0\n1011\n2000\n603\n5\n250\n250\n1000\n4\n1459\n1150\n698\n217\n0" }, "output": { "stdout": "3 2421\n4 3120\n4 734\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n1205\n1600\n30\n4\n300\n700\n1600\n650\n3\n1000\n2000\n638\n3\n250\n250\n1000\n4\n1251\n1466\n698\n299\n0" }, "output": { "stdout": "2 2900\n4 3135\n3 3250\n0 0\n3 1500\n4 3714\n" } }, { "input": { "stdin": "4\n800\n772\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n219\n3\n1000\n2000\n249\n3\n250\n426\n1000\n4\n1251\n1466\n1001\n299\n0" }, "output": { "stdout": "2 2972\n3 1030\n3 1219\n1 249\n2 676\n4 4017\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n585\n30\n4\n416\n129\n3132\n219\n0\n1100\n2000\n64\n3\n195\n227\n1010\n4\n1167\n1466\n1004\n299\n-1" }, "output": { "stdout": "2 2900\n3 915\n4 3896\n" } }, { "input": { "stdin": "4\n835\n221\n1600\n600\n4\n300\n1205\n1600\n15\n4\n300\n272\n106\n32\n0\n1011\n2000\n603\n5\n250\n250\n1000\n4\n1459\n1150\n698\n217\n0" }, "output": { "stdout": "3 2421\n4 3120\n4 710\n" } }, { "input": { "stdin": "4\n800\n700\n1600\n600\n4\n300\n700\n1600\n30\n4\n300\n700\n1600\n650\n3\n1000\n2000\n500\n3\n250\n250\n1000\n4\n1251\n1191\n876\n299\n0" }, "output": { "stdout": "2 2900\n3 1030\n3 3250\n1 500\n3 1500\n4 3617\n" } } ]
{ "tags": [], "title": "500-yen Saving" }
{ "cpp": "// Ryo Kamoi\n// #define DEBUG\n\n#include<iostream>\n#include<math.h>\n#include<vector>\n#include<string>\n#include<algorithm>\n#include<map>\n#include<queue>\n\nusing namespace std;\n\n#define REP(i, n) for(int i=0; i<n; i++)\n\ntypedef pair<int, int> pii;\ntypedef long long ll;\ntypedef pair<ll, ll> pll;\n\nint INF = 1000000000;\n\nint n;\nint p[101];\nint res_[101];\nint rt_[101];\npii dp[500*100+1];\npii prevdp[500*100+1];\nint main(){\n while(1) {\n cin >> n;\n if (n==0) break;\n\n p[0] = INF; // not used\n REP(i, n) {\n cin >> p[i+1];\n }\n\n REP(k, 500*n+1) {\n prevdp[k] = pii(0, INF);\n dp[k] = pii(0, INF);\n }\n prevdp[0] = pii(0, 0);\n\n for(int i=1; i<=n; i++) { \n REP(k, 500*n+1) {\n int res = p[i] % 1000;\n int rt = 1000 - res;\n\n if (rt == 1000) {\n res = 1000;\n rt = 0;\n }\n\n dp[k] = prevdp[k];\n if (rt >= 500) {\n if (k>=(rt-500)) {\n pii prev = prevdp[k-(rt-500)];\n if (prev.second >= INF) continue;\n if (dp[k].first == prev.first+1) {\n dp[k] = pii(prev.first+1, min(dp[k].second, prev.second+p[i]));\n } else if (dp[k].first < prev.first+1) {\n dp[k] = pii(prev.first+1, prev.second+p[i]);\n }\n }\n } else {\n if (k<=500*n-(res-500)) {\n pii prev = prevdp[k+(res-500)];\n if (prev.second < INF) {\n if (dp[k].first < prev.first + 1) {\n dp[k].first = prev.first+1;\n dp[k].second = prev.second + p[i];\n } else if (dp[k].first == prev.first + 1) {\n dp[k].second = min(dp[k].second, prev.second+p[i]);\n }\n }\n }\n if (k>=rt) {\n pii prev = prevdp[k-rt];\n if (prev.second < INF) {\n if (dp[k].first == prev.first) {\n dp[k].second = min(dp[k].second, prev.second + p[i]);\n } else if (dp[k].first < prev.first) {\n dp[k].first = prev.first;\n dp[k].second = prev.second + p[i];\n }\n }\n }\n }\n }\n\n REP(k, 500*n+1) {\n prevdp[k] = dp[k];\n }\n }\n\n int maxnum = 0;\n int price;\n REP(k, 500*n+1) {\n if (dp[k].second >= INF) {\n continue;\n }\n\n if (dp[k].first > maxnum) {\n maxnum = dp[k].first;\n price = dp[k].second;\n } else if (dp[k].first == maxnum) {\n price = min(price, dp[k].second);\n }\n }\n\n cout << maxnum << \" \" << price << endl;\n }\n}\n\n", "java": "\nimport java.util.Arrays;\nimport java.util.Scanner;\n\nclass Main {\n\n\t@SuppressWarnings(\"unchecked\")\n\tpublic void run() {\n\t\tScanner sc = new Scanner(System.in);\n\t\tint[] p = new int[100];\n\t\tlong[][][] f = new long[100 + 1][100 * 500 + 1][2];\n\t\twhile (true) {\n\t\t\tint n = sc.nextInt();\n\t\t\tif (n == 0)\n\t\t\t\tbreak;\n\t\t\tfor (int i = 0; i < n; ++i) {\n\t\t\t\tp[i] = sc.nextInt();\n\t\t\t}\n\t\t\tfor (int i = 0; i < f.length; ++i) {\n\t\t\t\tfor (int j = 0; j < f[i].length; ++j) {\n\t\t\t\t\tf[i][j][0] = -Integer.MAX_VALUE / 3;//500yen硬貨の枚数\n\t\t\t\t\tf[i][j][1] = Integer.MAX_VALUE / 3;//支払い金額\n\t\t\t\t}\n\t\t\t}\n\t\t\tf[0][0][0] = 0;\n\t\t\tf[0][0][1] = 0;\n\t\t\tfor (int i = 0; i < n; ++i) {\n\t\t\t\tfor (int j = 0; j < 500 * n + 1; ++j) {\n\t\t\t\t\tf[i + 1][j][0] = f[i][j][0];\n\t\t\t\t\tf[i + 1][j][1] = f[i][j][1];\n\t\t\t\t}\n\t\t\t\tfor (int j = 0; j < 500 * n + 1; ++j) {\n\t\t\t\t\tif (f[i][j][0] < 0)\n\t\t\t\t\t\tcontinue;\n\t\t\t\t\tif (1 <= p[i] % 1000 && p[i] % 1000 <= 500) {\n\t\t\t\t\t\tint coin = (1000 - p[i] % 1000) % 500;\n\t\t\t\t\t\tf[i + 1][j + coin] = choice(f[i + 1][j + coin],\n\t\t\t\t\t\t\t\tnew long[] { f[i][j][0] + 1, p[i] + f[i][j][1] });\n\t\t\t\t\t} else {\n\t\t\t\t\t\tint coin = (1000 - p[i] % 1000) % 500;\n\t\t\t\t\t\tf[i + 1][j + coin] = choice(f[i + 1][j + coin], new long[] { f[i][j][0], p[i] + f[i][j][1] });\n\t\t\t\t\t\tint need = (p[i] + 500) % 1000;\n\t\t\t\t\t\tif (need == 0)\n\t\t\t\t\t\t\tneed = 500;\n\t\t\t\t\t\tif (need <= j) {\n\t\t\t\t\t\t\tf[i + 1][j - need] = choice(f[i + 1][j - need],\n\t\t\t\t\t\t\t\t\tnew long[] { f[i][j][0] + 1, p[i] + f[i][j][1] });\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tlong[] ans = new long[] { 0, 0 };\n\t\t\tfor (int i = 0; i < f[n].length; ++i) {\n\t\t\t\tans = choice(ans, f[n][i]);\n\t\t\t}\n\t\t\tSystem.out.println(ans[0] + \" \" + ans[1]);\n\t\t}\n\n\t}\n\n\tlong[] choice(long[] a, long[] b) {\n\t\tif (a[0] != b[0]) {\n\t\t\tif (a[0] > b[0]) {\n\t\t\t\treturn a;\n\t\t\t} else {\n\t\t\t\treturn b;\n\t\t\t}\n\t\t} else {\n\t\t\tif (a[1] < b[1]) {\n\t\t\t\treturn a;\n\t\t\t} else {\n\t\t\t\treturn b;\n\t\t\t}\n\t\t}\n\t}\n\n\tvoid tr(Object... objects) {\n\t\tSystem.out.println(Arrays.deepToString(objects));\n\t}\n\n\tpublic static void main(String[] args) {\n\t\tnew Main().run();\n\t}\n}\n\n", "python": "from collections import defaultdict\ndef main(n):\n m = n * 499 + 1\n dp = defaultdict(list)\n dp[0] = [0, 0]\n for _ in range(n):\n ndp = defaultdict(lambda:[-1,-1])\n for key, value in dp.items():\n ndp[key] = value[:]\n p = int(input())\n a = -p % 1000\n if a >= 500:\n b = a - 500\n for j in dp.keys():\n if dp[j][0] < 0: continue\n tmp = ndp[j + b]\n if tmp[0] < dp[j][0] + 1:\n tmp[0] = dp[j][0] + 1\n tmp[1] = dp[j][1] + p\n elif tmp[0] == dp[j][0] + 1 and tmp[1] > dp[j][1] + p:\n tmp[0] = dp[j][0] + 1\n tmp[1] = dp[j][1] + p\n else:\n b = 500 - a % 500\n for j in dp.keys():\n if dp[j][0] < 0: continue\n tmp = ndp[j + a]\n if tmp[0] < dp[j][0]:\n tmp[0] = dp[j][0]\n tmp[1] = dp[j][1] + p\n elif tmp[0] == dp[j][0] and tmp[1] > dp[j][1] + p:\n tmp[1] = dp[j][1] + p\n if j - b >= 0:\n tmp = ndp[j - b]\n if tmp[0] < dp[j][0] + 1:\n tmp[0] = dp[j][0] + 1\n tmp[1] = dp[j][1] + p\n elif tmp[0] == dp[j][0] + 1 and tmp[1] > dp[j][1] + p:\n tmp[1] = dp[j][1] + p\n dp = ndp\n ans = [0, 0]\n for n, c in dp.values():\n if n > ans[0]:\n ans = [n, c]\n elif n == ans[0] and c < ans[1]:\n ans = [n, c]\n print(*ans)\n\nif __name__ == \"__main__\":\n while 1:\n n = int(input())\n if n:\n main(n)\n else:\n break\n\n" }
AIZU/p01224
# Perfect Number Let S be the sum of divisors of an integer N excluding the number itself. When N = S, N is called a perfect number, when N> S, N is called a defendant number, and when N <S, N is called an abundant number. Create a program that determines whether a given integer is a perfect number, a missing number, or an abundant number. Be careful not to exceed the program execution time. Input The input consists of a sequence of datasets. The number of datasets is 100 or less. Each dataset consists of one row containing only the integer N (0 <N ≤ 100000000). After the last dataset, there is a line marked 0 that marks the end of the input. Output For each dataset, print the string "` perfect number` "if the integer N is a perfect number," `deficient number`" if it is a missing number, or "` abundant number` "if it is an abundant number. .. Example Input 1 2 3 4 6 12 16 28 33550336 99999998 99999999 100000000 0 Output deficient number deficient number deficient number deficient number perfect number abundant number deficient number perfect number perfect number deficient number deficient number abundant number
[ { "input": { "stdin": "1\n2\n3\n4\n6\n12\n16\n28\n33550336\n99999998\n99999999\n100000000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\nperfect number\nperfect number\ndeficient number\ndeficient number\nabundant number" } }, { "input": { "stdin": "1\n2\n5\n3\n1\n12\n28\n53\n33550336\n119648219\n124798312\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nperfect number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n3\n2\n12\n22\n54\n33550336\n115239702\n99999999\n100011000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\nabundant number\nperfect number\nabundant number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n5\n4\n6\n12\n18\n4\n820514\n99999998\n99999999\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n1\n3\n14\n16\n27\n33550336\n187711252\n124798312\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n5\n0\n6\n12\n16\n28\n33550336\n99999998\n99999999\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n2\n7\n3\n3\n12\n16\n28\n33550336\n119648219\n211519088\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\nperfect number\nperfect number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n4\n3\n6\n10\n4\n16\n28\n869481\n58823990\n99999999\n100000000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n6\n9\n12\n16\n28\n820514\n48969127\n99999999\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\nabundant number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n3\n4\n6\n12\n16\n2\n33550336\n99999998\n99999999\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n5\n4\n6\n1\n5\n5\n1356316\n171009028\n699564\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n0\n3\n6\n12\n16\n28\n256736\n14840360\n99999999\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n3\n5\n5\n6\n6\n16\n4\n24069207\n119648219\n99999999\n100011000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nperfect number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n5\n6\n6\n12\n20\n4\n820514\n99999998\n206539\n100101100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\nperfect number\nabundant number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n3\n5\n4\n6\n8\n8\n30\n36616854\n188370618\n125099262\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\nabundant number\nabundant number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n2\n1\n1\n14\n16\n27\n66290451\n187711252\n124798312\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n1\n4\n9\n2\n29\n16\n24405873\n22677046\n259838236\n100011110\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\n" } }, { "input": { "stdin": "1\n2\n1\n3\n6\n12\n16\n28\n256736\n14840360\n99999999\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\nperfect number\nabundant number\nabundant number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n3\n6\n6\n12\n29\n28\n27350355\n99999998\n99999999\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\nperfect number\nabundant number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n4\n1\n3\n14\n22\n30\n33550336\n119648219\n124798312\n110001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n9\n4\n6\n0\n5\n5\n1356316\n171009028\n699564\n101001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\n" } }, { "input": { "stdin": "1\n2\n5\n3\n1\n12\n19\n53\n33550336\n119648219\n124798312\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n2\n6\n0\n12\n18\n4\n1189033\n99999998\n699564\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\n" } }, { "input": { "stdin": "1\n2\n5\n3\n6\n12\n28\n53\n33550336\n119648219\n124798312\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\nperfect number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n3\n5\n4\n7\n8\n8\n28\n36616854\n188370618\n125099262\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\nabundant number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n6\n5\n1\n6\n9\n16\n4\n24069207\n5152542\n99999999\n100011000\n0" }, "output": { "stdout": "deficient number\nperfect number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n5\n10\n7\n4\n18\n4\n1356316\n171009028\n986835\n100001101\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n2\n3\n10\n6\n19\n29\n1\n35068220\n135287094\n99999999\n000011000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nabundant number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n5\n8\n6\n12\n16\n37\n2217956\n63566325\n104956554\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\ndeficient number\nabundant number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n3\n3\n4\n12\n16\n28\n8675422\n99999998\n99999999\n100000000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n3\n6\n12\n28\n28\n33550336\n119648219\n124798312\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\nperfect number\nperfect number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n6\n3\n3\n6\n10\n17\n28\n400922\n25486736\n142974375\n100011100\n0" }, "output": { "stdout": "deficient number\nperfect number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nperfect number\ndeficient number\nabundant number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n4\n6\n22\n16\n28\n820514\n99999998\n99999999\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n4\n3\n22\n16\n28\n820514\n25575727\n8498156\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n18\n6\n4\n18\n4\n1356316\n171009028\n986835\n100001101\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nabundant number\nperfect number\ndeficient number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n1\n5\n6\n12\n12\n16\n28\n1084258\n101397346\n169009106\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\nabundant number\ndeficient number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n1\n2\n4\n32\n16\n24\n24405873\n99999998\n99999999\n100010110\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n1\n2\n6\n5\n12\n18\n4\n1189033\n99999998\n699564\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\ndeficient number\nabundant number\nabundant number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n4\n2\n4\n2\n16\n16\n22991448\n97419092\n176254187\n100011110\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n3\n1\n5\n9\n12\n13\n28\n390389\n48969127\n26422134\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n18\n4\n4\n18\n4\n1356316\n171009028\n986835\n100001101\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n2\n5\n4\n6\n12\n18\n28\n820514\n99999998\n99999999\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\nabundant number\nperfect number\ndeficient number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n4\n6\n12\n16\n37\n2217956\n63566325\n136804041\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n3\n1\n5\n6\n12\n13\n28\n390389\n48969127\n26422134\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\nperfect number\ndeficient number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n2\n5\n1\n3\n14\n18\n28\n33550336\n187711252\n124798312\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nperfect number\nperfect number\ndeficient number\ndeficient number\nabundant number\n" } }, { "input": { "stdin": "1\n1\n5\n6\n6\n12\n20\n4\n1296199\n65816511\n206539\n100101001\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\nperfect number\nperfect number\nabundant number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n2\n3\n4\n6\n12\n16\n28\n33550336\n99999998\n99999999\n000000000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\nperfect number\nperfect number\ndeficient number\ndeficient number\n" } }, { "input": { "stdin": "1\n4\n1\n5\n9\n12\n11\n35\n390389\n48969127\n26422134\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n3\n5\n4\n7\n8\n8\n28\n36616854\n119648219\n125099262\n100001000\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nperfect number\nabundant number\ndeficient number\nabundant number\nabundant number\n" } }, { "input": { "stdin": "1\n4\n1\n5\n9\n21\n11\n35\n390389\n48969127\n26422134\n100001100\n0" }, "output": { "stdout": "deficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\ndeficient number\nabundant number\nabundant number\n" } } ]
{ "tags": [], "title": "Perfect Number" }
{ "cpp": "#include <iostream>\nusing namespace std;\n\nint main(void){\n\n int N,S;\n int temp;\n int sum;\n\n while(1){\n\n int temp = 0;\n\n cin >> N;\n\n if( N == 0 ) break;\n\n sum = 0;\n\n for( int j = 1 ; j*j <= N; j++ ){\n\t\n\tif( N % j == 0 ){ \n\t sum += j;\n\t if( j*j != N ) sum += N/j;\n \n\t}\n }\n \n sum -= N;\n\n if( N < sum ) cout << \"abundant number\" << endl;\n else if( N > sum ) cout << \"deficient number\" << endl;\n else cout << \"perfect number\" << endl;\n\n }\n\n return 0;\n\n}", "java": "import java.util.Scanner;\npublic class Main {\n\tpublic static void main(String[] args) {\n\t\tScanner sc = new Scanner(System.in);\n\t\twhile(true){\n\t\t\tint n = sc.nextInt();\n\t\t\tif(n<1) return;\n\t\t\tn=n<2?2:n;\n\t\t\tint s = 1;\n\t\t\tfor(int i=2;i*i<=n;i++){\n\t\t\t\tif(n%i==0){\n\t\t\t\t\ts+=i+n/i;\n\t\t\t\t}\n\t\t\t\tif(i*i==n){\n\t\t\t\t\ts-=i;\n\t\t\t\t}\n\t\t\t}\n\t\t\tSystem.out.println(n==s?\"perfect number\":n>s?\"deficient number\":\"abundant number\");\n\t\t}\n\t}\n}", "python": "import math\nwhile True:\n N = int(input())\n if N == 0:\n break\n elif N == 1:\n print(\"deficient number\")\n else:\n sum = 1\n for i in range(2, int(math.sqrt(N)) + 1):\n if N % i == 0 and i**2 !=N:\n sum += N / i + i\n elif i**2 ==N:\n sum += i\n if sum == N:\n print(\"perfect number\")\n elif sum > N:\n print(\"abundant number\")\n else:\n print(\"deficient number\")\n\n" }
AIZU/p01358
# Usaneko Matrix Rabbits and cats are competing. The rules are as follows. First, each of the two animals wrote n2 integers on a piece of paper in a square with n rows and n columns, and drew one card at a time. Shuffle two cards and draw them one by one alternately. Each time a card is drawn, the two will mark it if the same number as the card is written on their paper. The winning condition is that the number of "a set of n numbers with a mark and is in a straight line" is equal to or greater than the number of playing cards drawn at the beginning. Answer which of the rabbit and the cat wins up to the mth card given. However, the victory or defeat is when only one of the two cards meets the victory condition when a certain card is drawn and marked. In other cases, it is a draw. Cards may be drawn even after one of them meets the victory conditions, but this does not affect the victory or defeat. Input Line 1: “nuvm” (square size, number of rabbit playing cards, number of cat playing cards, number of cards drawn) 2- (N + 1) Line: n2 numbers that the rabbit writes on paper ( N + 2)-(2N + 1) Line: n2 numbers that the cat writes on paper (2N + 2)-(2N + M + 1) Line: m cards drawn 1 ≤ n ≤ 500 1 ≤ u, v ≤ 13 1 ≤ m ≤ 100 000 1 ≤ (number written) ≤ 1 000 000 The number of n2 rabbits write on paper, the number of n2 cats write on paper, and the number of m cards drawn are different. Output Output "USAGI" if the rabbit wins, "NEKO" if the cat wins, and "DRAW" if the tie, each in one line. Examples Input 3 2 2 10 1 2 3 4 5 6 7 8 9 1 2 3 6 5 4 7 8 9 11 4 7 5 10 9 2 1 3 8 Output USAGI Input 3 2 1 10 1 2 3 4 5 6 7 8 9 1 2 3 6 5 4 7 8 9 11 4 7 5 10 9 2 1 3 8 Output DRAW
[ { "input": { "stdin": "3 2 2 10\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n6 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI" } }, { "input": { "stdin": "3 2 1 10\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n6 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "DRAW" } }, { "input": { "stdin": "3 2 0 10\n1 2 3\n7 10 3\n9 8 9\n2 2 3\n6 10 4\n13 8 6\n7\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 2 2 10\n1 2 3\n4 5 6\n7 8 9\n2 2 3\n6 5 4\n13 8 9\n11\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 6 11\n2 0 4\n3 0 16\n0 8 5\n1 2 3\n21 5 4\n7 4 7\n20\n11\n1\n9\n10\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 4 11\n1 2 4\n8 5 6\n7 8 9\n1 2 3\n8 5 4\n7 4 7\n11\n8\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 2 10\n1 2 3\n4 5 3\n7 8 9\n2 2 3\n6 5 4\n13 8 9\n11\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 10\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n6 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 4 11\n2 4 4\n3 0 11\n0 8 9\n1 2 3\n21 5 4\n7 4 7\n11\n8\n5\n5\n10\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 11\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n8 5 4\n7 0 9\n11\n4\n7\n1\n10\n9\n2\n1\n3\n9" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 0 10\n1 2 3\n7 10 3\n7 8 9\n2 2 3\n6 10 4\n13 8 6\n11\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 1 10 6\n3 0 4\n3 2 16\n0 1 1\n1 4 6\n21 5 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n0\n3\n8" }, "output": { "stdout": "DRAW\n" } }, { "input": { "stdin": "3 2 0 10\n1 2 3\n7 10 3\n0 8 9\n2 2 3\n6 10 4\n13 8 6\n7\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 0 4 11\n2 2 4\n8 0 6\n7 8 9\n1 2 3\n8 5 4\n7 4 7\n11\n8\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 13\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n8 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 0 10\n1 2 3\n7 10 3\n0 8 9\n2 2 3\n6 10 4\n13 8 6\n6\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 2 0 10\n1 2 3\n7 5 3\n7 8 9\n2 2 3\n6 10 4\n13 8 6\n11\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 2 4 10\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n8 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 1 10 6\n3 0 4\n3 2 16\n0 2 1\n1 4 6\n5 5 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n0\n2\n8" }, "output": { "stdout": "DRAW\n" } }, { "input": { "stdin": "3 0 6 11\n2 0 4\n1 2 16\n0 8 0\n1 2 3\n21 6 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 11\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n8 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 1 10\n1 2 3\n4 5 6\n7 8 9\n1 2 2\n6 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 0 6 6\n3 0 4\n3 2 16\n0 1 1\n1 4 6\n21 6 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n0\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 5 4 11\n1 2 3\n8 5 6\n7 8 9\n1 2 3\n8 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 0 4 11\n2 2 4\n8 0 6\n0 8 9\n1 2 3\n8 5 4\n7 4 7\n11\n8\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 6 6\n3 0 4\n3 2 16\n0 1 1\n1 4 6\n21 6 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 10\n1 3 5\n4 5 6\n7 8 9\n1 2 2\n6 5 4\n3 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 5 4 11\n1 2 4\n8 5 6\n7 8 9\n1 2 3\n8 5 4\n7 4 9\n11\n8\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 1 6 6\n3 0 4\n3 2 16\n0 1 1\n1 4 6\n21 6 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n0\n3\n8" }, "output": { "stdout": "DRAW\n" } }, { "input": { "stdin": "3 0 6 6\n3 0 4\n3 2 16\n0 1 1\n1 2 3\n21 6 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 10\n1 2 3\n4 5 6\n7 8 9\n1 2 2\n6 5 4\n3 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 6 11\n2 0 4\n1 1 16\n0 8 1\n1 2 3\n21 6 4\n6 4 7\n20\n11\n1\n9\n18\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 2 0\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n6 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "DRAW\n" } }, { "input": { "stdin": "3 0 4 11\n2 2 4\n8 5 6\n7 8 9\n1 2 3\n8 5 4\n7 4 7\n11\n8\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 4 11\n1 2 4\n8 5 6\n7 8 9\n1 2 3\n8 5 4\n7 4 9\n11\n8\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 4 11\n2 4 4\n8 0 11\n0 8 9\n1 2 3\n21 5 4\n7 4 7\n11\n8\n5\n5\n10\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 0 6 11\n2 0 4\n1 0 16\n0 8 5\n1 2 3\n21 5 4\n7 4 7\n20\n11\n1\n9\n18\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 3 4 11\n1 2 3\n8 5 6\n7 8 9\n1 2 3\n8 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "DRAW\n" } }, { "input": { "stdin": "3 2 4 10\n1 3 3\n4 5 6\n7 8 9\n1 2 2\n6 5 4\n3 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 0 10\n1 2 3\n4 5 3\n7 8 9\n2 2 3\n6 10 4\n13 8 6\n11\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 0 6 6\n3 0 4\n3 2 16\n0 1 1\n1 3 6\n21 6 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 10\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n6 5 4\n7 8 6\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 2 10\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n6 5 4\n7 8 9\n11\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 11\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n8 5 4\n7 0 9\n11\n4\n7\n5\n14\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 4 13\n1 2 3\n2 5 6\n7 8 9\n1 2 3\n8 4 4\n7 8 9\n11\n4\n7\n5\n10\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 1 10 6\n3 0 2\n3 2 16\n0 2 1\n1 4 6\n7 5 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n0\n2\n8" }, "output": { "stdout": "DRAW\n" } }, { "input": { "stdin": "3 0 6 6\n3 0 4\n3 2 16\n0 1 1\n1 2 4\n21 6 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n2\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 2 2 10\n1 2 3\n4 5 6\n7 8 9\n1 2 3\n6 5 4\n13 8 9\n11\n4\n7\n5\n20\n9\n2\n1\n3\n8" }, "output": { "stdout": "USAGI\n" } }, { "input": { "stdin": "3 5 4 11\n1 2 4\n8 5 6\n7 8 9\n1 2 3\n8 5 4\n7 8 9\n11\n4\n7\n5\n10\n9\n3\n1\n3\n8" }, "output": { "stdout": "NEKO\n" } }, { "input": { "stdin": "3 1 10 6\n3 0 4\n3 2 16\n0 2 1\n1 4 6\n5 5 4\n6 4 0\n20\n11\n1\n9\n18\n18\n6\n0\n3\n8" }, "output": { "stdout": "DRAW\n" } } ]
{ "tags": [], "title": "Usaneko Matrix" }
{ "cpp": "#include<cstdio>\n#include<cstdlib>\n#include<cstring>\n#include<cmath>\n#include<iostream>\n#include<string>\n#include<vector>\n#include<map>\n#include<set>\n#include<list>\n#include<queue>\n#include<deque>\n#include<algorithm>\n#include<numeric>\n#include<utility>\n#include<complex>\n#include<functional>\n \nusing namespace std;\n\n/* constant */\n\nconst int MAX_N = 500;\nconst int MAX_C = 1000000;\n\nconst string ans[] = { \"USAGI\", \"NEKO\", \"DRAW\" };\n\n/* typedef */\n\ntypedef vector<int> vi;\ntypedef map<int,int> mi;\n\nstruct Bingo {\n int n, nn;\n int d0, d1;\n vi hs, vs;\n mi cs;\n\n Bingo(int _n): n(_n), nn(_n * _n), d0(_n), d1(_n), hs(_n, _n), vs(_n, _n) {}\n\n void set(int d, int x, int y) { cs[d] = y * n + x; }\n\n int draw(int c) {\n mi::iterator mit = cs.find(c);\n if (mit == cs.end()) return 0;\n\n int x = mit->second % n, y = mit->second / n;\n cs.erase(mit);\n\n if (n == 1) return 1;\n\n int count = 0;\n if (! --hs[y]) count++;\n if (! --vs[x]) count++;\n if (x == y && ! --d0) count++;\n if (x + y == n - 1 && ! --d1) count++;\n \n return count;\n }\n};\n\n/* global variables */\n\n/* subroutines */\n\n/* main */\n\nint main() {\n int n, u, v, m;\n cin >> n >> u >> v >> m;\n\n Bingo bu(n), bv(n);\n\n for (int y = 0; y < n; y++)\n for (int x = 0; x < n; x++) {\n int d;\n cin >> d;\n bu.set(d, x, y);\n }\n\n for (int y = 0; y < n; y++)\n for (int x = 0; x < n; x++) {\n int d;\n cin >> d;\n bv.set(d, x, y);\n }\n\n int ul = 0, vl = 0;\n int st = 2;\n \n while (m--) {\n int c;\n cin >> c;\n\n ul += bu.draw(c);\n vl += bv.draw(c);\n //printf(\"ul=%d, vl=%d\\n\", ul, vl);\n\n int fin = 0;\n if (ul >= u) fin += 1;\n if (vl >= v) fin += 2;\n\n if (fin) {\n st = fin - 1;\n break;\n }\n }\n\n cout << ans[st] << endl;\n return 0;\n}", "java": "import java.util.*;\n\npublic class Main{\n\t\n\tprivate void doit(){\n\t\tScanner sc = new Scanner(System.in);\n\t\twhile(sc.hasNext()){\n\t\t\tint n = sc.nextInt();\n\t\t\tint u = sc.nextInt();\n\t\t\tint v = sc.nextInt();\n\t\t\tint m = sc.nextInt();\n\t\t\tint [][] hash = new int[2][1000000 + 1];\n\t\t\tfor(int i = 0; i < 2; i++){\n\t\t\t\tArrays.fill(hash[i], -1);\n\t\t\t}\n\t\t\tfor(int i = 0; i < 2; i++){\n\t\t\t\tfor(int j = 0; j < n; j++){\n\t\t\t\t\tfor(int k = 0; k < n; k++){\n\t\t\t\t\t\tint num = sc.nextInt();\n\t\t\t\t\t\thash[i][num] = j * n + k;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tint [] count = new int[2];\n\t\t\tint [][] hcount = new int[2][n];\n\t\t\tint [][] wcount = new int[2][n];\n\t\t\tint [][] crossC = new int[2][2];\n\t\t\tboolean flg = false;\n\t\t\twhile(m-- > 0){\n\t\t\t\tint mi = sc.nextInt();\n\t\t\t\tfor(int i = 0; i < 2; i++){\n\t\t\t\t\tint pos = hash[i][mi];\n\t\t\t\t\tif(pos == -1) continue;\n\t\t\t\t\tint xpos = pos % n;\n\t\t\t\t\tint ypos = pos / n;\n\t\t\t\t\thcount[i][ypos]++;\n\t\t\t\t\tif(hcount[i][ypos] == n){\n\t\t\t\t\t\tcount[i]++;\n\t\t\t\t\t}\n\t\t\t\t\twcount[i][xpos]++;\n\t\t\t\t\tif(wcount[i][xpos] == n){\n\t\t\t\t\t\tcount[i]++;\n\t\t\t\t\t}\n\t\t\t\t\tif(xpos == ypos){\n\t\t\t\t\t\tcrossC[i][0]++;\n\t\t\t\t\t\tif(crossC[i][0] == n){\n\t\t\t\t\t\t\tcount[i]++;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\tif(xpos + ypos == n-1){\n\t\t\t\t\t\tcrossC[i][1]++;\n\t\t\t\t\t\tif(crossC[i][1] == n){\n\t\t\t\t\t\t\tcount[i]++;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\tif(n == 1 && count[i] >= 2){\n\t\t\t\t\t\tcount[i] = 1;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\t\n\t\t\t\tif(count[0] >= u && count[1] >= v){\n\t\t\t\t\tSystem.out.println(\"DRAW\");\n\t\t\t\t\tflg = true;\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\telse if(count[0] >= u){\n\t\t\t\t\tSystem.out.println(\"USAGI\");\n\t\t\t\t\tflg = true;\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\telse if(count[1] >= v){\n\t\t\t\t\tSystem.out.println(\"NEKO\");\n\t\t\t\t\tflg = true;\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t}\n\t\t\tif(! flg){\n\t\t\t\tSystem.out.println(\"DRAW\");\n\t\t\t}\n\t\t\twhile(m-- > 0){\n\t\t\t\tsc.next();\n\t\t\t}\n\t\t}\n\t}\n\n\tprivate void debug(Object... o) {\n\t\tSystem.out.println(\"debug = \" + Arrays.deepToString(o));\n\t}\n\n\tpublic static void main(String[] args) {\n\t\tnew Main().doit();\n\t}\n}", "python": "n, u, v, m = map(int, input().split())\nusa_mat = [list(map(int, input().split())) for _ in range(n)]\nnek_mat = [list(map(int, input().split())) for _ in range(n)]\nusa_dic = {}\nnek_dic = {}\nfor y in range(n):\n for x in range(n):\n usa_dic[usa_mat[y][x]] = (x, y)\n nek_dic[nek_mat[y][x]] = (x, y)\n\nusa_count = [0] * (2 * n + 2)\nnek_count = [0] * (2 * n + 2)\n\nflag = 0\nusa_point = 0\nnek_point = 0\nfor _ in range(m):\n a = int(input())\n if flag:\n continue\n \n if a in usa_dic:\n ux, uy = usa_dic[a]\n usa_count[ux] += 1\n if usa_count[ux] == n:\n usa_point += 1\n usa_count[uy + n] += 1\n if usa_count[uy + n] == n:\n usa_point += 1\n if ux + uy == n - 1:\n usa_count[-1] += 1\n if usa_count[-1] == n:\n usa_point += 1\n if ux == uy:\n usa_count[-2] += 1\n if usa_count[-2] == n:\n usa_point += 1\n \n if a in nek_dic:\n nx, ny = nek_dic[a]\n nek_count[nx] += 1\n if nek_count[nx] == n:\n nek_point += 1\n nek_count[ny + n] += 1\n if nek_count[ny + n] == n:\n nek_point += 1\n if nx + ny == n - 1:\n nek_count[-1] += 1\n if nek_count[-1] == n:\n nek_point += 1\n if nx == ny:\n nek_count[-2] += 1\n if nek_count[-2] == n:\n nek_point += 1\n \n if n == 1:\n usa_point = min(usa_point, 1)\n nek_point = min(nek_point, 1)\n\n if usa_point >= u and nek_point >= v:\n flag = 1\n elif usa_point >= u:\n flag = 2\n elif nek_point >= v:\n flag = 3\n\nif flag == 2:\n print(\"USAGI\")\nelif flag == 3:\n print(\"NEKO\")\nelse:\n print(\"DRAW\")\n" }
AIZU/p01540
# Treasure Hunt Taro came to a square to look for treasure. There are many treasures buried in this square, but Taro has the latest machines, so he knows everything about where the treasures are buried. Since the square is very wide Taro decided to look for the treasure to decide the area, but the treasure is what treasure does not know immediately whether or not there in the area for a lot. So Taro decided to count the number of treasures in that area. Constraints > 1 ≤ n ≤ 5000 > 1 ≤ m ≤ 5 × 105 > | xi |, | yi | ≤ 109 (1 ≤ i ≤ n) > | xi1 |, | yi1 |, | xi2 |, | yi2 | ≤ 109 (1 ≤ i ≤ m) > xi1 ≤ xi2, yi1 ≤ yi2 (1 ≤ i ≤ m) > * All inputs are given as integers Input > n m > x1 y1 > x2 y2 > ... > xn yn > x11 y11 x12 y12 > x21 y21 x22 y22 > ... > xm1 ym1 xm2 ym2 > * n represents the number of treasures buried in the square * m represents the number of regions to examine * The 2nd to n + 1 lines represent the coordinates where each treasure is buried. * The n + 2nd to n + m + 1 lines represent each area to be examined. * The positive direction of the x-axis represents the east and the positive direction of the y-axis represents the north. * Each region is a rectangle, xi1 and yi1 represent the coordinates of the southwestern apex of the rectangle, and xi2 and yi2 represent the coordinates of the northeastern apex of the rectangle. Output > C1 > C2 > ... > Cm > * Output the number of treasures contained in each area to each line Examples Input 3 1 1 1 2 4 5 3 0 0 5 5 Output 3 Input 4 2 -1 1 0 3 4 0 2 1 -3 1 5 1 4 0 4 0 Output 2 1 Input 2 3 0 0 0 0 -1 -1 1 1 0 0 2 2 1 1 4 4 Output 2 2 0 Input 5 5 10 5 -3 -8 2 11 6 0 -1 3 -3 1 3 13 -1 -1 9 5 -3 -8 10 11 0 0 5 5 -10 -9 15 10 Output 2 2 5 0 4
[ { "input": { "stdin": "5 5\n10 5\n-3 -8\n2 11\n6 0\n-1 3\n-3 1 3 13\n-1 -1 9 5\n-3 -8 10 11\n0 0 5 5\n-10 -9 15 10" }, "output": { "stdout": "2\n2\n5\n0\n4" } }, { "input": { "stdin": "3 1\n1 1\n2 4\n5 3\n0 0 5 5" }, "output": { "stdout": "3" } }, { "input": { "stdin": "4 2\n-1 1\n0 3\n4 0\n2 1\n-3 1 5 1\n4 0 4 0" }, "output": { "stdout": "2\n1" } }, { "input": { "stdin": "2 3\n0 0\n0 0\n-1 -1 1 1\n0 0 2 2\n1 1 4 4" }, "output": { "stdout": "2\n2\n0" } }, { "input": { "stdin": "3 1\n0 1\n2 4\n0 6\n-1 0 0 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2 3\n1 0\n0 0\n-1 -1 1 1\n0 0 2 2\n1 1 4 4" }, "output": { "stdout": "2\n2\n0\n" } }, { "input": { "stdin": "4 2\n0 1\n0 3\n4 0\n0 2\n-3 1 1 1\n2 0 7 0" }, "output": { "stdout": "1\n1\n" } }, { "input": { "stdin": "3 1\n1 1\n2 6\n5 3\n0 0 5 5" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "3 1\n0 2\n2 4\n0 6\n0 0 1 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3 1\n0 1\n2 8\n0 6\n0 0 0 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5 5\n10 5\n-3 -8\n2 15\n6 0\n-1 3\n-3 1 3 13\n-1 -1 9 9\n-3 -8 10 11\n0 0 5 5\n-10 -9 15 10" }, "output": { "stdout": "1\n2\n4\n0\n4\n" } }, { "input": { "stdin": "3 1\n0 1\n2 4\n0 6\n0 0 0 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "4 2\n-1 1\n0 1\n5 -1\n2 1\n-3 1 0 0\n2 0 4 -1" }, "output": { "stdout": "0\n0\n" } }, { "input": { "stdin": "5 5\n10 5\n-3 -8\n2 11\n6 0\n-1 3\n-3 1 3 13\n-1 -1 9 9\n-3 -8 10 11\n-1 0 5 5\n-10 -9 15 10" }, "output": { "stdout": "2\n2\n5\n1\n4\n" } }, { "input": { "stdin": "3 1\n0 2\n2 4\n0 6\n-1 0 0 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2 3\n1 -1\n0 2\n0 -1 0 1\n0 1 0 2\n0 2 5 5" }, "output": { "stdout": "0\n1\n1\n" } }, { "input": { "stdin": "2 3\n0 0\n0 1\n-1 -1 1 1\n0 0 2 2\n1 2 4 4" }, "output": { "stdout": "2\n2\n0\n" } }, { "input": { "stdin": "4 2\n-1 1\n0 1\n4 0\n2 1\n-3 0 5 1\n0 0 4 -1" }, "output": { "stdout": "4\n0\n" } }, { "input": { "stdin": "5 5\n10 5\n-5 -12\n2 12\n6 0\n-1 3\n-3 1 2 0\n-2 -2 9 9\n-7 -15 -1 11\n0 0 5 9\n-19 -9 10 14" }, "output": { "stdout": "0\n2\n2\n0\n4\n" } }, { "input": { "stdin": "3 1\n1 1\n2 6\n5 3\n0 0 1 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5 5\n10 5\n-5 -6\n2 12\n6 0\n-1 3\n-3 1 1 0\n-2 -2 9 9\n-7 -15 0 11\n0 0 5 9\n-19 -9 10 3" }, "output": { "stdout": "0\n2\n2\n0\n3\n" } }, { "input": { "stdin": "3 1\n1 1\n2 4\n5 4\n-1 0 0 5" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2 3\n0 0\n0 1\n-1 -1 1 1\n0 0 2 2\n2 0 5 4" }, "output": { "stdout": "2\n2\n0\n" } }, { "input": { "stdin": "4 2\n0 1\n0 1\n5 -1\n2 1\n-3 1 0 1\n4 0 4 -1" }, "output": { "stdout": "2\n0\n" } }, { "input": { "stdin": "4 2\n-1 1\n0 1\n4 0\n2 1\n-3 1 5 1\n4 0 4 -1" }, "output": { "stdout": "3\n0\n" } }, { "input": { "stdin": "3 1\n1 1\n2 4\n5 4\n-1 0 0 2" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2 3\n0 0\n0 1\n-1 -1 1 1\n0 0 2 2\n2 2 4 4" }, "output": { "stdout": "2\n2\n0\n" } }, { "input": { "stdin": "3 1\n1 1\n2 4\n5 6\n-1 0 0 5" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3 1\n0 1\n2 4\n0 6\n-1 0 0 2" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2 3\n0 1\n0 1\n-1 -1 1 1\n0 0 2 2\n1 2 4 4" }, "output": { "stdout": "2\n2\n0\n" } }, { "input": { "stdin": "5 5\n0 5\n-5 -6\n2 0\n6 0\n-1 3\n-3 1 1 12\n-2 -2 9 9\n-7 0 0 11\n0 0 5 9\n-10 -9 10 14" }, "output": { "stdout": "2\n4\n2\n2\n5\n" } }, { "input": { "stdin": "4 2\n-1 1\n0 1\n5 0\n2 1\n-3 1 5 1\n4 0 4 -1" }, "output": { "stdout": "3\n0\n" } }, { "input": { "stdin": "4 2\n-1 1\n0 1\n4 0\n2 1\n-3 1 5 1\n4 0 4 0" }, "output": { "stdout": "3\n1\n" } }, { "input": { "stdin": "2 3\n2 0\n0 -1\n-1 -1 1 1\n0 0 2 2\n1 1 4 4" }, "output": { "stdout": "1\n1\n0\n" } }, { "input": { "stdin": "5 5\n10 5\n-5 -6\n2 12\n6 0\n-1 3\n-3 1 1 13\n-2 -2 9 9\n-6 -8 0 11\n0 0 5 9\n-10 -9 15 14" }, "output": { "stdout": "1\n2\n2\n0\n5\n" } }, { "input": { "stdin": "5 5\n10 5\n-5 -6\n2 12\n6 0\n-1 3\n-3 1 4 13\n-2 -2 9 9\n-6 -8 0 11\n0 0 5 9\n-10 -9 15 18" }, "output": { "stdout": "2\n2\n2\n0\n5\n" } }, { "input": { "stdin": "5 5\n10 5\n-5 -6\n2 10\n5 0\n-1 3\n-3 1 3 13\n-2 -2 9 9\n-3 -8 0 11\n0 0 5 9\n-10 -9 15 10" }, "output": { "stdout": "2\n2\n1\n1\n5\n" } }, { "input": { "stdin": "2 3\n0 0\n0 1\n-1 -1 1 0\n0 0 2 2\n2 2 8 4" }, "output": { "stdout": "1\n2\n0\n" } }, { "input": { "stdin": "3 1\n1 1\n4 4\n5 3\n-1 0 5 5" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "2 3\n0 0\n0 0\n-1 -1 1 1\n0 0 2 2\n1 2 4 4" }, "output": { "stdout": "2\n2\n0\n" } }, { "input": { "stdin": "3 1\n1 1\n2 4\n5 4\n-1 0 5 5" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "5 5\n10 7\n-3 -8\n2 11\n6 0\n-1 3\n-3 2 3 13\n-1 -1 9 5\n-3 -12 8 11\n0 0 5 4\n-2 -13 15 10" }, "output": { "stdout": "2\n2\n4\n0\n3\n" } }, { "input": { "stdin": "5 5\n10 5\n-3 -11\n2 11\n6 0\n-1 5\n-3 1 3 13\n-2 -2 9 9\n-3 -8 0 1\n0 0 5 9\n-10 -9 15 10" }, "output": { "stdout": "2\n2\n0\n0\n3\n" } }, { "input": { "stdin": "4 2\n-1 1\n0 1\n5 0\n2 1\n-3 1 0 1\n4 0 4 -1" }, "output": { "stdout": "2\n0\n" } }, { "input": { "stdin": "3 1\n0 2\n2 4\n0 6\n-1 0 1 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5 5\n10 5\n-3 -8\n2 15\n6 0\n-1 3\n-3 1 3 13\n-1 -1 9 9\n-3 -8 0 11\n0 0 5 5\n-10 -9 15 10" }, "output": { "stdout": "1\n2\n2\n0\n4\n" } }, { "input": { "stdin": "5 5\n10 5\n-3 -8\n2 11\n6 0\n-1 3\n-3 1 3 13\n-1 -1 9 5\n-3 -8 10 11\n0 0 5 4\n-10 -9 15 10" }, "output": { "stdout": "2\n2\n5\n0\n4\n" } }, { "input": { "stdin": "4 2\n-1 1\n0 1\n4 0\n2 1\n-3 2 5 1\n4 0 4 1" }, "output": { "stdout": "0\n1\n" } }, { "input": { "stdin": "3 1\n0 1\n2 4\n0 6\n0 0 1 5" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3 1\n0 2\n2 4\n0 6\n0 0 0 5" }, "output": { "stdout": "1\n" } } ]
{ "tags": [], "title": "Treasure Hunt" }
{ "cpp": "#include <iostream>\n#include <vector>\n#include <algorithm>\n\nusing namespace std;\n\n#define all(vec) vec.begin(),vec.end()\nint main(){\n int n,m;cin >> n >> m;\n\n vector<int> index_of_x(n),index_of_y(n);\n for(int i=0;i<n;i++){\n cin >> index_of_x[i] >> index_of_y[i];\n }\n vector<int> value_of_x = index_of_x,\n value_of_y = index_of_y;\n\n sort(all(value_of_x));\n sort(all(value_of_y));\n value_of_x.erase(unique(all(value_of_x)),value_of_x.end());\n value_of_y.erase(unique(all(value_of_y)),value_of_y.end());\n for(int i=0;i<n;i++){\n index_of_x[i] = lower_bound(all(value_of_x),index_of_x[i]) - value_of_x.begin();\n index_of_y[i] = lower_bound(all(value_of_y),index_of_y[i]) - value_of_y.begin();\n }\n vector<vector<int>> v(value_of_y.size()+1,vector<int>(value_of_x.size()+1));\n {\n vector<vector<int>> p(value_of_y.size(),vector<int>(value_of_x.size()));\n for(int i=0;i<n;i++){\n p[index_of_y[i]][index_of_x[i]] += 1;\n }\n for(int y=1;y<=value_of_y.size();y++){\n for(int x=1;x<=value_of_x.size();x++){\n v[y][x] = v[y][x-1] + p[y-1][x-1];\n }\n }\n for(int x=0;x<=value_of_x.size();x++){\n for(int y=1;y<=value_of_y.size();y++){\n v[y][x] = v[y-1][x] + v[y][x];\n }\n }\n\n }\n\n for(int i=0;i<m;i++){\n int x1,y1,x2,y2;\n cin >> x1 >> y1 >> x2 >> y2;\n\n int sx = lower_bound(all(value_of_x),x1) - value_of_x.begin();\n int gx = upper_bound(all(value_of_x),x2) - value_of_x.begin();\n int sy = lower_bound(all(value_of_y),y1) - value_of_y.begin();\n int gy = upper_bound(all(value_of_y),y2) - value_of_y.begin();\n\n int ans = v[gy][gx] - v[sy][gx] - v[gy][sx] + v[sy][sx];\n cout << ans << endl;\n }\n\n return 0;\n}", "java": "import java.io.IOException;\nimport java.io.PrintWriter;\nimport java.util.NoSuchElementException;\nimport java.util.Random;\nimport java.util.Scanner;\nimport java.util.TreeMap;\nimport java.util.TreeSet;\nimport java.util.function.BiFunction;\n\npublic class Main{\n\tstatic Scanner scn = new Scanner(System.in);\n\tstatic FastScanner sc = new FastScanner();\n\tstatic PrintWriter ot = new PrintWriter(System.out);\n\tstatic Random rand = new Random();\n\tstatic int mod = 1000000007;\n\tstatic long modmod = (long)mod * mod;\n\tstatic long inf = (long)1e17;\n\tstatic int[] dx = {0,1,0,-1};\n\tstatic int[] dy = {1,0,-1,0};\n\tstatic int[] dx8 = {-1,-1,-1,0,0,1,1,1};\n\tstatic int[] dy8 = {-1,0,1,-1,1,-1,0,1};\n\tstatic char[] dc = {'R','D','L','U'};\n\tstatic BiFunction<Integer,Integer,Integer> fmax = (a,b)-> {return Math.max(a,b);};\n\tstatic BiFunction<Integer,Integer,Integer> fmin = (a,b)-> {return Math.min(a,b);};\n\tstatic BiFunction<Integer,Integer,Integer> fsum = (a,b)-> {return a+b;};\n\tstatic BiFunction<Long,Long,Long> fmaxl = (a,b)-> {return Math.max(a,b);};\n\tstatic BiFunction<Long,Long,Long> fminl = (a,b)-> {return Math.min(a,b);};\n\tstatic BiFunction<Long,Long,Long> fsuml = (a,b)-> {return a+b;};\n\tstatic BiFunction<Integer,Integer,Integer> fadd = fsum;\n\tstatic BiFunction<Integer,Integer,Integer> fupd = (a,b)-> {return b;};\n\tstatic BiFunction<Long,Long,Long> faddl = fsuml;\n\tstatic BiFunction<Long,Long,Long> fupdl = (a,b)-> {return b;};\n\tstatic String sp = \" \";\n\tstatic int N;\n\tstatic int M;\n\tpublic static void main(String[] args) {\n\t\t//AOJ2426 Treasure Hunt\n\t\t//author:Suunn\n\t\t//幾何らしくないと思う　座標圧縮と累積和で丁寧に実装\n\t\t\n\t\tint N = sc.nextInt();\n\t\tint M = sc.nextInt();\n\t\tint[] x = new int[N];\n\t\tint[] y = new int[N];\n\t\tsc.nextIntses(N,x,y);\n\t\tTreeSet<Integer> xlist = new TreeSet<Integer>();\n\t\tTreeSet<Integer> ylist = new TreeSet<Integer>();\n\t\tfor(int i=0;i<N;i++) {\n\t\t\txlist.add(x[i]);\n\t\t\tylist.add(y[i]);\n\t\t}\n\t\txlist.add(-mod);\n\t\txlist.add(mod);\n\t\tylist.add(-mod);\n\t\tylist.add(mod);\n\t\tTreeMap<Integer,Integer> xmap = new TreeMap<Integer,Integer>();\n\t\tTreeMap<Integer,Integer> ymap = new TreeMap<Integer,Integer>();\n\t\t\n\t\tint xidx = 1;\n\t\tfor(int e:xlist) {\n\t\t\txmap.put(e,xidx);\n\t\t\txidx += 2;\n\t\t}\n\t\tint yidx = 1;\n\t\tfor(int e:ylist) {\n\t\t\tymap.put(e,yidx);\n\t\t\tyidx += 2;\n\t\t}\n\t\tint[][] a = new int[xidx+1][yidx+1];\n\t\tfor(int i=0;i<N;i++) {\n\t\t\tint X = xmap.get(x[i]);\n\t\t\tint Y = ymap.get(y[i]);\n\t\t\ta[X][Y]++;\n\t\t}\n\t\tfor(int i=0;i<=xidx;i++) { \n\t\t\tfor(int j=0;j<=yidx;j++) {\n\t\t\t\tif(i==0&&j==0)continue;\n\t\t\t\telse if(i==0)a[i][j] += a[i][j-1];\n\t\t\t\telse if(j==0)a[i][j] += a[i-1][j];\n\t\t\t\telse a[i][j] += a[i][j-1]+a[i-1][j]-a[i-1][j-1];\n\t\t\t}\n\t\t}\n\t\t\n\t\tfor(int i=0;i<M;i++) {\n\t\t\tint x1 = sc.nextInt();\n\t\t\tint y1 = sc.nextInt();\n\t\t\tint x2 = sc.nextInt();\n\t\t\tint y2 = sc.nextInt();\n\t\t\tint X1 = xmap.get(xlist.ceiling(x1))-1;\n\t\t\tint Y1 = ymap.get(ylist.ceiling(y1))-1;\n\t\t\tint X2 = xmap.get(xlist.floor(x2));\n\t\t\tint Y2 = ymap.get(ylist.floor(y2));\n\t\t\tot.println(a[X2][Y2]-a[X1][Y2]-a[X2][Y1]+a[X1][Y1]);\n\t\t}\n\t\tot.flush();\n\t\n\t\t\n\t}\n\t\n\t\n\t\n\n\n}\n\n\nclass FastScanner {\n private final java.io.InputStream in = System.in;\n private final byte[] b = new byte[1024];\n private int p = 0;\n private int bl = 0;\n private boolean hNB() {\n if (p<bl) {\n return true;\n }else{\n p = 0;\n try {\n bl = in.read(b);\n } catch (IOException e) {\n e.printStackTrace();\n }\n if (bl<=0) {\n return false;\n }\n }\n return true;\n }\n\n\tprivate int rB() { if (hNB()) return b[p++]; else return -1;}\n private static boolean iPC(int c) { return 33 <= c && c <= 126;}\n private void sU() { while(hNB() && !iPC(b[p])) p++;}\n public boolean hN() { sU(); return hNB();}\n public String next() {\n if (!hN()) throw new NoSuchElementException();\n StringBuilder sb = new StringBuilder();\n int b = rB();\n while(iPC(b)) {\n sb.appendCodePoint(b);\n b = rB();\n }\n return sb.toString();\n }\n public char nextChar() {\n \treturn next().charAt(0);\n }\n public long nextLong() {\n if (!hN()) throw new NoSuchElementException();\n long n = 0;\n boolean m = false;\n int b = rB();\n if (b=='-') {\n m=true;\n b=rB();\n }\n if (b<'0'||'9'<b) {\n throw new NumberFormatException();\n }\n while(true){\n if ('0'<=b&&b<='9') {\n n *= 10;\n n += b - '0';\n }else if(b == -1||!iPC(b)){\n return (m?-n:n);\n }else{\n throw new NumberFormatException();\n }\n b = rB();\n }\n }\n public int nextInt() {\n if (!hN()) throw new NoSuchElementException();\n long n = 0;\n boolean m = false;\n int b = rB();\n if (b == '-') {\n m = true;\n b = rB();\n }\n if (b<'0'||'9'<b) {\n throw new NumberFormatException();\n }\n while(true){\n if ('0'<=b&&b<='9') {\n n *= 10;\n n += b-'0';\n }else if(b==-1||!iPC(b)){\n return (int) (m?-n:n);\n }else{\n throw new NumberFormatException();\n }\n b = rB();\n }\n }\n public int[] nextInts(int n) {\n \tint[] a = new int[n];\n \tfor(int i=0;i<n;i++) {\n \t\ta[i] = nextInt();\n \t}\n \treturn a;\n }\n public int[] nextInts(int n,int s) {\n \tint[] a = new int[n+s];\n \tfor(int i=s;i<n+s;i++) {\n \t\ta[i] = nextInt();\n \t}\n \treturn a;\n }\n public long[] nextLongs(int n, int s) {\n \tlong[] a = new long[n+s];\n \tfor(int i=s;i<n+s;i++) {\n \t\ta[i] = nextLong();\n \t}\n \treturn a;\n\t}\n public long[] nextLongs(int n) {\n \tlong[] a = new long[n];\n \tfor(int i=0;i<n;i++) {\n \t\ta[i] = nextLong();\n \t}\n \treturn a;\n }\n public int[][] nextIntses(int n,int m){\n \tint[][] a = new int[n][m];\n \tfor(int i=0;i<n;i++) {\n \t\tfor(int j=0;j<m;j++) {\n \t\t\ta[i][j] = nextInt();\n \t\t}\n \t}\n \treturn a;\n }\n\n public String[] nexts(int n) {\n \tString[] a = new String[n];\n \tfor(int i=0;i<n;i++) {\n \t\ta[i] = next();\n \t}\n \treturn a;\n }\n void nextIntses(int n,int[] ...m) {\n \tint l = m[0].length;\n \tfor(int i=0;i<l;i++) {\n \t\tfor(int j=0;j<m.length;j++) {\n \t\t\tm[j][i] = nextInt();\n \t\t}\n \t}\n }\n void nextLongses(int n,long[] ...m) {\n \tint l = m[0].length;\n \tfor(int i=0;i<l;i++) {\n \t\tfor(int j=0;j<m.length;j++) {\n \t\t\tm[j][i] = nextLong();\n \t\t}\n \t}\n }\n\n}\n\n\n\n\n\n\n", "python": "import bisect\ninf = 1e10\nn,m = map(int,raw_input().split())\nxy = [map(int,raw_input().split()) for i in range(n)]\nX = sorted([i[0] for i in xy] + [-inf-1] + [inf+1])\nY = sorted([i[1] for i in xy] + [-inf-1] + [inf+1])\n\ns = [[0]*(n+10) for i in range(n+10)]\nfor i in range(n):\n\ta = bisect.bisect_left(X,xy[i][0])\n\tb = bisect.bisect_left(Y,xy[i][1])\n\ts[a][b] += 1\n\nfor i in range(n+2):\n\tfor j in range(n+2):\n\t\ts[i+1][j+1] += s[i+1][j] + s[i][j+1] - s[i][j]\n\nfor i in range(m):\n\tx1,y1,x2,y2 = map(int,raw_input().split())\n\tx1 = bisect.bisect_left(X,x1) - 1\n\ty1 = bisect.bisect_left(Y,y1) - 1\n\tx2 = bisect.bisect_left(X,x2+1) - 1\n\ty2 = bisect.bisect_left(Y,y2+1) - 1\n\tprint s[x2][y2] - s[x1][y2] - s[x2][y1] + s[x1][y1]" }
AIZU/p01696
# Broken Cipher Generator Broken crypto generator JAG (Japanese Alumni Group) is a mysterious organization composed of many programmers, and in order to enter the building where the headquarters of this organization is located, it is necessary to solve the ciphertext generated by a certain machine every time. This ciphertext consists of the symbols'+','-','[',']' and the uppercase alphabet, and is represented by <Cipher> defined by the following BNF. <Cipher> :: = <String> | <Cipher> <String> <String> :: = <Letter> |'['<Cipher>']' <Letter> :: ='+' <Letter> |'-' <Letter> | 'A' |'B' |'C' |'D' |'E' |'F' |'G' |'H' |'I' |'J' |'K' |'L' |'M '| 'N' |'O' |'P' |'Q' |'R' |'S' |'T' |'U' |'V' |'W' |'X' |'Y' |'Z ' Here, each symbol has the following meaning. * + (Character): Represents the alphabet following that character (provided that the alphabet following'Z'is'A') *-(Character): Represents the alphabet before that character (provided that the alphabet before'A'is'Z') * [(Character string)]: Represents a character string that is horizontally inverted. However, the machine that generates this ciphertext is currently out of order, and some letters of the alphabet in the ciphertext may be broken and unreadable. Unreadable characters are tentatively represented as'?'. As a result of the investigation, it was found that the method of filling the broken characters is such that the decrypted character string is the smallest in the dictionary order among the possible character strings after decoding. Your job is to decrypt this ciphertext correctly. Input The input consists of multiple datasets. Each dataset consists of one line containing a string in which some uppercase letters have been replaced with ‘?’ In the ciphertext defined by BNF above. You can assume that the length of each string is less than $ 80 $. You can also assume that the number of'?' In each dataset is greater than or equal to $ 0 $ and less than or equal to $ 3 $. The end of the input is represented by a line containing only one character,'.'. Output For each data set, output the decrypted character string when the ciphertext is decrypted so that the decrypted character string is the smallest in the dictionary order. Sample Input A + A ++ A Z-Z--Z + -Z [ESREVER] J ---? --- J ++++++++ A +++ Z ----------- A +++ Z [[++-+-? [-++-? ++-+++ L]] [-+ ----- + -O]] ++++ --- + L .. Output for Sample Input ABC ZYXZ REVERSE JAG ICPC JAPAN Example Input A+A++A Z-Z--Z+-Z [ESREVER] J---?---J ++++++++A+++Z-----------A+++Z [[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L . Output ABC ZYXZ REVERSE JAG ICPC JAPAN
[ { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESREVER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERSE\nJAG\nICPC\nJAPAN" } }, { "input": { "stdin": "A++A+A\nZ--Z-Z+-Z\n[FTQWEER]\nJ---?---J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZXYZ\nREEWQTF\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESQVEER]\nJ-?-----J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEVQSE\nJAE\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++B\nZ-Z--Z+-Z\n[ESREVER]\nJ---?---J\n+++++-++A+++Z----+------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABD\nZYXZ\nREVERSE\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESQWEER]\nJ---?---J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEWQSE\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESREVER]\nJ---?---J\n+++++-++A+++Z----+------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERSE\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ+-Z--Z-Z\n[DSRVEER]\nJ---?---J\n+++-++++A+++Z---+-------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZZXY\nREEVRSD\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESSVEER]\nJ?------J\n-+++++++A+++Y--------+--A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEVSSE\nJAD\nGBRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z-+Z\n[DSRVEER]\nJ---?---J\n+++-++++A+++Z---+-------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEVRSD\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESRVEER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEVRSE\nJAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z+-Z\n[ESRVEER]\nJ---?---J\n++++++++A++++-----------A++ZZ\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEVRSE\nJAG\nITBZ\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESSVEER]\nJ?------J\n-+++++++A+++Y--------+--A+++Z\n[-++-+--?[--++-?++-+++L]][[+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEVSSE\nJAD\nGBRC\nAPAKN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\n[DSRVEER]\nJ---?---J\n+++-++++A+++Z---+-------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEVRSD\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESREVER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-+++-+++L]][-+-----+-O]]+?++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERSE\nJAG\nICPC\nJAPAL\n" } }, { "input": { "stdin": "A+A++B\nZ-Z--Z+-Z\n[ESERVER]\nJ-?-----J\n++++++++A+++Z-----------A+++Z\n[[-+-+--?[+-++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABD\nZYXZ\nREVRESE\nJAE\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESREVER]\nJ---J---?\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERSE\nJGA\nICPC\nJAPAN\n" } }, { "input": { "stdin": "B+A++A\nZ-Z--Z+-Z\n[ESQVEER]\nJ-?-----J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+M\n." }, "output": { "stdout": "BBC\nZYXZ\nREEVQSE\nJAE\nGCRC\nJAPAO\n" } }, { "input": { "stdin": "A+A++A\nZ-+Z--Z-Z\n[ESREVER]\nJ---J---?\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZZXY\nREVERSE\nJGA\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESRE]ERV\nK---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-+++-+++L]][-+-----+-O]]+?++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nERSEERV\nKAG\nICPC\nJAPAL\n" } }, { "input": { "stdin": "A++B+A\nZ-Z--Z-+Z\n[ESRVDER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ADB\nZYXZ\nREDVRSE\nJAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[VSREEER]\n?---J---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEERSV\nAGG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESRVEER]\nJ---?---J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEVRSE\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "B+A++B\nZ-Z--Z+-Z\n[ESREVER]\nJ---?---J\n+++++-++A+++Z----+------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "BBD\nZYXZ\nREVERSE\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z+-Z\n[ESSVEER]\nJ?------J\n-+++++++A+++Y--------+--A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEVSSE\nJAD\nGBRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++B\nZ-Z--Z+-Z\n[ESREVER]\nJ-----?-J\n++++++++A+++Z-----------A+++Z\n[[-+-+--?[+-++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABD\nZYXZ\nREVERSE\nJAI\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z-Z-+-Y\n[VSREEER]\n?---J---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYYX\nREEERSV\nAGG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\nEESRV[ER]\nJ---?---J\n++++++++A+++Z+----------A-++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nEESRVRE\nJAG\nICRA\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\nEESRVE[R]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nEESRVER\nJAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++B\nZ-+Z--Z-Z\n[ESREVER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABD\nZZXY\nREVERSE\nJAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ERREVER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERRE\nJAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[FSQWEER]\nJ---?---J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEWQSF\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\n[ESSVDER]\nI---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREDVSSE\nIAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\n[ESRVDER]\nJ---?---I\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREDVRSE\nJAF\nICPC\nJAPAN\n" } }, { "input": { "stdin": "B+A++A\nZ-Z--Z-+Z\n[DSREVER]\nJ---?---J\n+++-++++A+++Z---+-------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "BBC\nZYXZ\nREVERSD\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ+-Z--Z-Z\n[ESRVDER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZZXY\nREDVRSE\nJAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\n[DSRVEER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEVRSD\nJAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\n[DSRWEER]\nJ---?---J\n+++-++++A+++Z---+-------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEWRSD\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z+-Z\n[ETQWEER]\nJ---?---J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEWQTE\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\n[DSRVEER]\n----?-J-J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEVRSD\nAII\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-+Z--Z-Z\n[ETQWEER]\nJ---?---J\n+++--+++A+++Z-+----+----A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZZXY\nREEWQTE\nJAG\nECTC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESRVEER]\nJ---?---J\n-+++++++A+++Y--------+--A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREEVRSE\nJAG\nGBRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nY-Z--Z+-Z\n[ESREVER]\n?---J---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nYYXZ\nREVERSE\nAGG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "B+A++B\nZ-Z--Z+-Z\n[ESREVDR]\nJ---?---J\n+++++-++A+++Z----+------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "BBD\nZYXZ\nRDVERSE\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESREVER]\n?---J---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERSE\nAGG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ+-Z--Z-Z\n[DSRVEER]\nJ---?---J\n+++-++++A+++Z---+-------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZZXY\nREEVRSD\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESREVER]\nJ---I---?\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERSE\nJFA\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z-+Z\n[ESRVDER]\nI---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREDVRSE\nIAG\nICPC\nJAPAN\n" } }, { "input": { "stdin": "A++A+A\nZ-Z--Z+-Z\n[FTQWEER]\nJ---?---J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ACB\nZYXZ\nREEWQTF\nJAG\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESRVEFR]\nJ?------J\n+++-++++A+++Z-+---------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nRFEVRSE\nJAD\nGCRC\nJAPAN\n" } }, { "input": { "stdin": "A+A++A\nZ-Z--Z+-Z\n[ESREVER]\n?---I---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n." }, "output": { "stdout": "ABC\nZYXZ\nREVERSE\nAFG\nICPC\nJAPAN\n" } } ]
{ "tags": [], "title": "Broken Cipher Generator" }
{ "cpp": "#include <bits/stdc++.h>\n\nusing namespace std;\n\ninline int toInt(string s) {int v; istringstream sin(s);sin>>v;return v;}\ntemplate<class T> inline string toString(T x) {ostringstream sout;sout<<x;return sout.str();}\ntemplate<class T> inline T sqr(T x) {return x*x;}\n\ntypedef vector<int> vi;\ntypedef vector<vi> vvi;\ntypedef vector<string> vs;\ntypedef pair<int, int> pii;\ntypedef long long ll;\n\n#define all(a) (a).begin(),(a).end()\n#define rall(a) (a).rbegin(), (a).rend()\n#define pb push_back\n#define mp make_pair\n#define each(i,c) for(typeof((c).begin()) i=(c).begin(); i!=(c).end(); ++i)\n#define exist(s,e) ((s).find(e)!=(s).end())\n#define range(i,a,b) for(int i=(a);i<(b);++i)\n#define rep(i,n) range(i,0,n)\n#define clr(a,b) memset((a), (b) ,sizeof(a))\n#define dump(x) cerr << #x << \" = \" << (x) << endl;\n#define debug(x) cerr << #x << \" = \" << (x) << \" (L\" << __LINE__ << \")\" << \" \" << __FILE__ << endl;\n\nconst double eps = 1e-10;\nconst double pi = acos(-1.0);\nconst ll INF =1LL << 62;\nconst int inf =1 << 29;\n\nstring s;\nint cur=0;\n\nchar Letter();\nstring String();\nstring Cipher();\n\nchar Letter(){\n\tint val=0;\n\twhile(!isupper(s[cur])){\n\t\tif(s[cur]=='?'){\n\t\t\tcur++;\n\t\t\treturn 'A';\n\t\t}\n\t\tif(s[cur]=='+')\n\t\t\tval++;\n\t\tif(s[cur]=='-')\n\t\t\tval--;\n\t\tcur++;\n\t\tval=(val+26)%26;\n\t}\n\tint idx=s[cur++]-'A';\n\treturn (idx+val+26)%26+'A';\n}\n\nstring String(){\n\tint n=s.size();\n\tstring res=\"\";\n\twhile(cur<n){\n\t\tif(s[cur]=='['){\n\t\t\tcur++;\n\t\t\tres=Cipher();\n\t\t\tcur++;\n\t\t\treverse(res.begin(),res.end());\n\t\t\treturn res;\n\t\t}else{\n\t\t\tres+=Letter();\n\t\t\treturn res;\n\t\t}\n\t}\n\treturn res;\n}\n\nstring Cipher(){\n\tint n=s.size();\n\tstring res=\"\";\n\twhile(cur<n){\n\t\tif(s[cur]==']')\n\t\t\tbreak;\n\t\tres+=String();\n\t}\n\treturn res;\n}\n\nint main(void){\n\twhile(cin >> s){\n\t\tif(s==\".\")\n\t\t\tbreak;\n\t\tcur=0;\n\t\tcout << Cipher() << endl;\n\t}\n\treturn 0;\n}", "java": "import java.util.*;\nimport java.math.*;\n\nclass Main{\n\tpublic static void main(String[] args){\n\t\tSolve s = new Solve();\n\t\ts.solve();\n\t}\t\n}\nclass Solve{\n\tSolve(){}\n\t\n\tScanner in = new Scanner(System.in);\n\n\tvoid solve(){\n\t\twhile(in.hasNext()){\n\t\t\tString s = in.next();\n\t\t\tif(s.equals(\".\")) return;\n\t\t\tSystem.out.println(calc(s, false));\n\t\t}\n\t}\n\n\tString calc(String s, boolean isrev){\n\t\tStringBuilder ret = new StringBuilder();\n\n\t\tint r = 0;\n\t\tchar c = 'A';\n\t\tfor(int i = 0; i < s.length(); i++){\n\t\t\tif(s.charAt(i) == '['){\n\t\t\t\tint k = i+1, rank = 1;\n\t\t\t\twhile(rank>0){\n\t\t\t\t\t//if(k>=s.length()) break;\n\t\t\t\t\tif(s.charAt(k)=='[') rank++;\n\t\t\t\t\telse if(s.charAt(k)==']') rank--;\n\t\t\t\t\tk++;\n\t\t\t\t}\n\t\t\t\t//System.out.println(\"OK\");\n\t\t\t\tret.append(calc(s.substring(i + 1, k), true));\n\t\t\t\ti=k-1;\n\t\t\t}\n\t\t\telse if(s.charAt(i)==']') continue;\n\t\t\telse if(s.charAt(i)=='+') r++;\n\t\t\telse if(s.charAt(i)=='-') r--;\n\t\t\telse{\n\t\t\t\tif(s.charAt(i)=='?') c='A';\n\t\t\t\telse c = (char)('A'+(s.charAt(i)-'A'+r+26*100)%26);\n\t\t\t\tr = 0;\n\t\t\t\tret.append(c);\n\t\t\t}\n\t\t}\n\n\t\tif(isrev) ret.reverse();\n\t\treturn ret.toString();\n\t}\n\t\n}\n\n// while(in.hasNext()){\n\t\t// \tint n = in.nextInt();\n\t\t// \tif(n == 0) return;\n\t\t\t\n\t\t// }", "python": "pos = 0\ns = \"\"\ndef read():\n global pos\n global s\n\n result = \"\"\n ruiseki = 0\n while pos < len(s):\n if s[pos] == '+':\n ruiseki += 1\n elif s[pos] == '-':\n ruiseki -= 1\n elif s[pos] == '[':\n pos += 1\n result += read()\n pos -= 1\n elif s[pos] == ']':\n pos += 1\n return result[::-1]\n elif s[pos] == '?':\n result += 'A'\n ruiseki = 0\n else:\n order = ord(s[pos]) + ruiseki\n while order < 65:\n order += 26\n while order > 90:\n order -= 26\n result += chr(order)\n ruiseki = 0\n\n pos += 1\n\n return result\n\n\nwhile True:\n pos = 0\n s = input()\n if s == \".\":\n break\n\n print(read())\n\n" }
AIZU/p01840
# Delivery to a Luxurious House B-Mansion and courier Problem Statement Taro lives alone in a mansion. Taro, who loves studying, intends to study in his study in the house today. Taro can't concentrate outside the study, so he always studies in the study. However, on this day, $ N $ of courier service to Taro arrived. $ i $ ($ 1 \ leq i \ leq N $) The arrival time of the third courier is $ a_i $. It is painful to have the delivery person wait at the front door, so Taro decided to be at the front door by the time the courier arrives. Due to the large size of the mansion, it takes $ M $ one way to move between the study and the entrance. On the other hand, Taro wants to study for as long as possible. Find the maximum amount of time Taro can study in the study from time $ 0 $ to time $ T $. Taro is in the study at time $ 0 $, and the courier does not arrive earlier than the time $ M $, and the courier does not arrive later than the time $ T $. Also, the time it takes for Taro to receive the courier can be ignored. Input Each dataset consists of two lines. The first line consists of three integers $ N, M, T $ separated by blanks. These integers satisfy $ 1 \ leq N \ leq 100 $, $ 1 \ leq M \ leq 10 {,} 000 $, $ 1 \ leq T \ leq 10 {,} 000 $. The second line consists of $ N $ integers $ a_1, a_2, \ dots, a_N $ separated by blanks. Each $ a_i $ fills $ M \ leq a_i \ leq T $ and is also $ a_i <a_ {i + 1} $ ($ 1 \ leq i <N $). Output Output an integer representing the maximum amount of time Taro can study on one line. Sample Input 1 1 1 5 3 Output for the Sample Input 1 3 Sample Input 2 2 1 10 2 7 Output for the Sample Input 2 6 Sample Input 3 2 4 10 6 8 Output for the Sample Input 3 2 Example Input 1 1 5 3 Output 3
[ { "input": { "stdin": "1 1 5\n3" }, "output": { "stdout": "3" } }, { "input": { "stdin": "1 2 10\n6" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "1 4 192\n8" }, "output": { "stdout": "184\n" } }, { "input": { "stdin": "1 0 30\n7" }, "output": { "stdout": "30\n" } }, { "input": { "stdin": "1 1 13\n3" }, "output": { "stdout": "11\n" } }, { "input": { "stdin": "1 0 28\n3" }, "output": { "stdout": "28\n" } }, { "input": { "stdin": "1 2 33\n10" }, "output": { "stdout": "29\n" } }, { "input": { "stdin": "1 5 92\n24" }, "output": { "stdout": "82\n" } }, { "input": { "stdin": "1 3 111\n3" }, "output": { "stdout": "105\n" } }, { "input": { "stdin": "1 7 100\n19" }, "output": { "stdout": "86\n" } }, { "input": { "stdin": "1 0 38\n25" }, "output": { "stdout": "38\n" } }, { "input": { "stdin": "1 2 9\n9" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "1 0 70\n25" }, "output": { "stdout": "70\n" } }, { "input": { "stdin": "1 5 63\n8" }, "output": { "stdout": "53\n" } }, { "input": { "stdin": "1 1 71\n2" }, "output": { "stdout": "69\n" } }, { "input": { "stdin": "1 2 4\n3" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1 1 47\n2" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "1 4 68\n5" }, "output": { "stdout": "60\n" } }, { "input": { "stdin": "1 4 76\n5" }, "output": { "stdout": "68\n" } }, { "input": { "stdin": "1 1 38\n5" }, "output": { "stdout": "36\n" } }, { "input": { "stdin": "1 1 58\n6" }, "output": { "stdout": "56\n" } }, { "input": { "stdin": "1 1 5\n1" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1 2 71\n2" }, "output": { "stdout": "67\n" } }, { "input": { "stdin": "1 4 114\n5" }, "output": { "stdout": "106\n" } }, { "input": { "stdin": "1 4 105\n5" }, "output": { "stdout": "97\n" } }, { "input": { "stdin": "1 7 110\n19" }, "output": { "stdout": "96\n" } }, { "input": { "stdin": "1 4 58\n15" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "1 2 62\n6" }, "output": { "stdout": "58\n" } }, { "input": { "stdin": "1 0 111\n6" }, "output": { "stdout": "111\n" } }, { "input": { "stdin": "1 1 37\n6" }, "output": { "stdout": "35\n" } }, { "input": { "stdin": "1 1 111\n6" }, "output": { "stdout": "109\n" } }, { "input": { "stdin": "1 1 5\n5" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1 1 15\n6" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "1 2 454\n14" }, "output": { "stdout": "450\n" } }, { "input": { "stdin": "1 2 53\n7" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "1 4 63\n6" }, "output": { "stdout": "55\n" } }, { "input": { "stdin": "1 2 75\n7" }, "output": { "stdout": "71\n" } }, { "input": { "stdin": "1 2 92\n24" }, "output": { "stdout": "88\n" } }, { "input": { "stdin": "1 2 20\n6" }, "output": { "stdout": "16\n" } }, { "input": { "stdin": "1 1 2\n3" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1 2 195\n5" }, "output": { "stdout": "191\n" } }, { "input": { "stdin": "1 2 63\n6" }, "output": { "stdout": "59\n" } }, { "input": { "stdin": "1 0 192\n16" }, "output": { "stdout": "192\n" } }, { "input": { "stdin": "1 1 39\n1" }, "output": { "stdout": "37\n" } }, { "input": { "stdin": "1 0 47\n11" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "1 1 65\n3" }, "output": { "stdout": "63\n" } }, { "input": { "stdin": "1 0 20\n6" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "1 2 106\n6" }, "output": { "stdout": "102\n" } }, { "input": { "stdin": "1 2 47\n2" }, "output": { "stdout": "43\n" } }, { "input": { "stdin": "1 1 100\n7" }, "output": { "stdout": "98\n" } } ]
{ "tags": [], "title": "Delivery to a Luxurious House" }
{ "cpp": "#include \"bits/stdc++.h\"\nusing namespace std;\n\nint main() {\n\tint N, M, T;\n\tcin >> N >> M >> T;\n\tvector<int> A(N);\n\tfor (int i = 0; i < N; i++) cin >> A[i];\n\tint ANS = 0;\n\tANS += A[0] - M;\n\tANS += max(0, T - M - A[N - 1]);\n\tfor (int i = 0; i < N - 1; i++) {\n\t\tANS += max(0, A[i + 1] - A[i] - M * 2);\n\t}\n\tcout << ANS << endl;\n}\n", "java": "import java.util.Arrays;\nimport java.util.Scanner;\nimport java.util.stream.IntStream;\n\npublic class Main{\n\tstatic final Scanner s=new Scanner(System.in);\n\tstatic int getInt(){\n\t\treturn Integer.parseInt(s.next());\n\t}\n\tstatic IntStream REPS(int l) {\n\t\treturn IntStream.range(0,l);\n\t}\n\tpublic static void main(String[]__){\n\t\tint n=getInt(),m=getInt(),t=getInt(),ar[]=new int[t];\n\t\t\n\t\tfor(int i=0;i<n;i++) {\n\t\t\tint in=getInt();\n\t\t\tar[in-m]++;\n\t\t\tif(in+m<t)\n\t\t\t\tar[in+m]--;\n\t\t}\n\t\tArrays.parallelPrefix(ar,Integer::sum);\n\t\tSystem.out.println(Arrays.stream(ar).filter(i->i==0).count());\n\t}\n}", "python": "n,m,t=map(int,input().split())\na=list(map(int,input().split()))\na.insert(0,-m)\nans=0\nfor i in range(n):\n if a[i]+2*m<a[i+1]:\n ans+=a[i+1]-a[i]-2*m\nif a[-1]+m<t:ans+=t-a[-1]-m\nprint(ans)\n" }
AIZU/p01976
# Anagram problem Given a sequence $ a_i $ of length $ N $. Output all integers $ K (1 \ le K \ le N) $ that satisfy the following conditions. Condition: Well sorted $ a_1, \ cdots, a_K $ matches $ a_ {N-K + 1}, \ cdots, a_N $. Example Input 8 5 2 4 9 4 9 2 5 Output 1 2 4 6 7 8
[ { "input": { "stdin": "8\n5 2 4 9 4 9 2 5" }, "output": { "stdout": "1 2 4 6 7 8" } }, { "input": { "stdin": "8\n-13 1 2 32 0 2 -1 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-10 -1 3 42 1 4 -2 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 10 7 1 2 1 -1 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 10 7 6 2 1 -1 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n0 4 10 6 0 7 3 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-3 1 22 16 3 1 0 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-3 1 22 16 0 1 -1 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 2 7 4 2 1 -1 -1" }, "output": { "stdout": "1 7 8\n" } }, { "input": { "stdin": "8\n-2 -1 3 7 1 4 -2 -1" }, "output": { "stdout": "2 6 8\n" } }, { "input": { "stdin": "8\n6 1 13 6 1 7 3 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-9 1 3 32 0 4 -1 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-9 0 3 32 0 4 -1 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n6 2 6 4 2 11 2 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 2 12 4 2 1 -1 -1" }, "output": { "stdout": "1 7 8\n" } }, { "input": { "stdin": "8\n-1 3 12 8 3 1 0 -1" }, "output": { "stdout": "1 7 8\n" } }, { "input": { "stdin": "8\n-9 1 2 32 0 4 -1 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-2 0 3 32 -1 4 -2 0" }, "output": { "stdout": "2 6 8\n" } }, { "input": { "stdin": "8\n0 4 8 6 1 3 0 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-3 1 12 16 3 1 0 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n6 1 13 6 1 7 3 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n6 2 13 6 1 7 3 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-10 2 2 32 -1 1 -1 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 0 3 32 -1 4 -1 0" }, "output": { "stdout": "2 6 8\n" } }, { "input": { "stdin": "8\n-10 1 2 32 0 1 0 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n5 2 4 4 4 14 2 5" }, "output": { "stdout": "1 2 6 7 8\n" } }, { "input": { "stdin": "8\n-4 -1 3 24 1 4 -2 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-4 -1 3 12 1 4 -2 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n5 2 6 4 4 11 2 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 0 3 32 -1 4 -2 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 12 7 6 1 0 -1 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n0 4 8 6 0 7 3 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n0 3 13 6 1 7 3 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 1 0 -2 1 0 -1 -2" }, "output": { "stdout": "4 8\n" } }, { "input": { "stdin": "8\n6 1 13 6 1 7 2 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n0 12 8 6 1 6 0 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 0 3 32 0 4 -1 0" }, "output": { "stdout": "2 6 8\n" } }, { "input": { "stdin": "8\n-1 12 7 6 1 1 0 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n6 1 13 6 1 7 4 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n5 2 4 4 4 11 2 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n0 4 13 6 1 7 3 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-2 -1 3 32 -1 4 -2 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n0 4 8 6 1 6 0 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-10 1 2 16 -1 1 -1 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-2 -1 3 7 1 4 -2 0" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 12 14 6 1 0 -1 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n6 1 7 4 2 7 2 -1" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 0 12 8 3 1 0 -1" }, "output": { "stdout": "1 2 6 7 8\n" } }, { "input": { "stdin": "8\n-1 10 7 2 2 1 -1 -2" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8\n-1 10 7 6 1 1 -1 -2" }, "output": { "stdout": "8\n" } } ]
{ "tags": [], "title": "Anagram" }
{ "cpp": "// 基本テンプレート\n \n#include <iostream>\n#include <iomanip>\n#include <cstdio>\n#include <string>\n#include <cstring>\n#include <deque>\n#include <list>\n#include <queue>\n#include <stack>\n#include <vector>\n#include <utility>\n#include <algorithm>\n#include <map>\n#include <set>\n#include <complex>\n#include <cmath>\n#include <limits>\n#include <cfloat>\n#include <climits>\n#include <ctime>\n#include <cassert>\n#include <numeric>\n#include <fstream>\n#include <functional>\nusing namespace std;\n \n#define rep(i,a,n) for(int (i)=(a); (i)<(n); (i)++)\n#define repq(i,a,n) for(int (i)=(a); (i)<=(n); (i)++)\n#define repr(i,a,n) for(int (i)=(a); (i)>=(n); (i)--)\n#define debug(...) fprintf(stderr, __VA_ARGS__)\n#define int long long int\n \ntemplate<typename T> void chmax(T &a, T b) {a = max(a, b);}\ntemplate<typename T> void chmin(T &a, T b) {a = min(a, b);}\ntemplate<typename T> void chadd(T &a, T b) {a = a + b;}\n \ntypedef pair<int, int> pii;\ntypedef long long ll;\n \nint dx[] = {0, 0, 1, -1};\nint dy[] = {1, -1, 0, 0};\nconst ll INF = 1001001001001001LL;\nconst ll MOD = 1000000007LL;\n \nsigned main() {\n int N; cin >> N;\n vector<int> vec(N);\n for(int i=0; i<N; i++) {\n cin >> vec[i];\n }\n\n map<int, int> pre, suf;\n vector<int> ans;\n for(int i=0; i<N; i++) {\n int lidx = i, ridx = N - 1 - i;\n pre[ vec[lidx] ]++;\n suf[ vec[ridx] ]++;\n if(pre == suf) {\n ans.push_back(i+1);\n }\n }\n\n for(size_t i=0; i<ans.size(); i++) {\n printf(\"%lld%c\", ans[i], (i+1==ans.size() ? '\\n' : ' '));\n }\n return 0;\n}\n", "java": "import java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.ArrayList;\nimport java.util.Arrays;\nimport java.util.NoSuchElementException;\nimport java.util.PriorityQueue;\n\npublic class Main {\n\tpublic static void main(String[] args) {\n\t\tnew Main().run();\n\t}\n\n\t@SuppressWarnings(\"unchecked\")\n\tvoid run() {\n\t\tScanner sc = new Scanner();\n\t\tint N = sc.nextInt();\n\t\tlong[] A = new long[N];\n\t\tfor (int i = 0; i < N; ++i)\n\t\t\tA[i] = sc.nextInt();\n\t\tPriorityQueue<Long> pq1 = new PriorityQueue();\n\t\tPriorityQueue<Long> pq2 = new PriorityQueue();\n\t\tArrayList<Integer> ans = new ArrayList();\n\t\tfor (int i = 0; i < N; ++i) {\n\t\t\tpq1.add(A[i]);\n\t\t\tpq2.add(A[N - 1 - i]);\n\t\t\twhile (!pq1.isEmpty() && pq1.peek().equals(pq2.peek())) {\n\t\t\t\tpq1.poll();\n\t\t\t\tpq2.poll();\n\t\t\t}\n\t\t\tif (pq1.isEmpty()) {\n\t\t\t\tans.add(i + 1);\n\t\t\t}\n\t\t}\n\t\tPrintWriter pw = new PrintWriter(System.out);\n\t\tfor (int i = 0; i < ans.size(); ++i) {\n\t\t\tpw.print(ans.get(i) + (i == ans.size() - 1 ? \"\\n\" : \" \"));\n\t\t}\n\t\tpw.close();\n\t}\n\n\tclass Scanner {\n\t\tprivate final InputStream in = System.in;\n\t\tprivate final byte[] buffer = new byte[1024];\n\t\tprivate int ptr = 0;\n\t\tprivate int buflen = 0;\n\n\t\tprivate boolean hasNextByte() {\n\t\t\tif (ptr < buflen) {\n\t\t\t\treturn true;\n\t\t\t} else {\n\t\t\t\tptr = 0;\n\t\t\t\ttry {\n\t\t\t\t\tbuflen = in.read(buffer);\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n\t\t\t\tif (buflen <= 0) {\n\t\t\t\t\treturn false;\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn true;\n\t\t}\n\n\t\tprivate int readByte() {\n\t\t\tif (hasNextByte())\n\t\t\t\treturn buffer[ptr++];\n\t\t\telse\n\t\t\t\treturn -1;\n\t\t}\n\n\t\tprivate boolean isPrintableChar(int c) {\n\t\t\treturn 33 <= c && c <= 126;\n\t\t}\n\n\t\tpublic boolean hasNext() {\n\t\t\twhile (hasNextByte() && !isPrintableChar(buffer[ptr]))\n\t\t\t\tptr++;\n\t\t\treturn hasNextByte();\n\t\t}\n\n\t\tpublic String next() {\n\t\t\tif (!hasNext())\n\t\t\t\tthrow new NoSuchElementException();\n\t\t\tStringBuilder sb = new StringBuilder();\n\t\t\tint b = readByte();\n\t\t\twhile (isPrintableChar(b)) {\n\t\t\t\tsb.appendCodePoint(b);\n\t\t\t\tb = readByte();\n\t\t\t}\n\t\t\treturn sb.toString();\n\t\t}\n\n\t\tpublic long nextLong() {\n\t\t\tif (!hasNext())\n\t\t\t\tthrow new NoSuchElementException();\n\t\t\tlong n = 0;\n\t\t\tboolean minus = false;\n\t\t\tint b = readByte();\n\t\t\tif (b == '-') {\n\t\t\t\tminus = true;\n\t\t\t\tb = readByte();\n\t\t\t}\n\t\t\tif (b < '0' || '9' < b) {\n\t\t\t\tthrow new NumberFormatException();\n\t\t\t}\n\t\t\twhile (true) {\n\t\t\t\tif ('0' <= b && b <= '9') {\n\t\t\t\t\tn *= 10;\n\t\t\t\t\tn += b - '0';\n\t\t\t\t} else if (b == -1 || !isPrintableChar(b)) {\n\t\t\t\t\treturn minus ? -n : n;\n\t\t\t\t} else {\n\t\t\t\t\tthrow new NumberFormatException();\n\t\t\t\t}\n\t\t\t\tb = readByte();\n\t\t\t}\n\t\t}\n\n\t\tpublic int nextInt() {\n\t\t\tlong nl = nextLong();\n\t\t\tif (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)\n\t\t\t\tthrow new NumberFormatException();\n\t\t\treturn (int) nl;\n\t\t}\n\n\t\tpublic double nextDouble() {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\t}\n\n\tstatic void tr(Object... objects) {\n\t\tSystem.out.println(Arrays.deepToString(objects));\n\t}\n}\n", "python": "# -*- coding: utf-8 -*-\ndef inpl(): return list(map(int, input().split()))\nfrom bisect import bisect_left, insort\n\nN = int(input())\nsrc = list(map(int,input().split()))\nans = []\nA, B = [], []\n\nfor i in range(N):\n a, b = src[i], src[-i-1]\n addA = False\n addB = False\n\n if a != b:\n j = bisect_left(B, a)\n if j != len(B) and B[j] == a:\n del B[j]\n else:\n addA = True\n\n j = bisect_left(A, b)\n if j != len(A) and A[j] == b:\n del A[j]\n else:\n insort(B, b)\n\n if addA:\n insort(A, a)\n\n if len(A) == len(B) == 0:\n ans.append(i+1)\n\nprint(*ans)\n\n" }
AIZU/p02122
# RMQ 2 Problem Given two sequences of length $ N $, $ A $ and $ B $. First, the $ i $ item in the sequence $ A $ is $ a_i $, and the $ i $ item in the sequence $ B $ is $ b_i $. Since a total of $ Q $ of statements of the following format are given, create a program that processes in the given order. Each statement is represented by three integers $ x, y, z $. * Set the value of the $ y $ item in the sequence $ A $ to $ z $. (When $ x = 1 $) * Set the value of the $ y $ item in the sequence $ B $ to $ z $. (When $ x = 2 $) * Find and report the smallest value in the $ z $ item from the $ y $ item in the sequence $ A $. (When $ x = 3 $) * Find and report the smallest value in the $ z $ item from the $ y $ item in the sequence $ B $. (When $ x = 4 $) * Change the sequence $ A $ to be exactly the same as the sequence $ B $. (When $ x = 5 $) * Change the sequence $ B $ to be exactly the same as the sequence $ A $. (When $ x = 6 $) Constraints The input satisfies the following conditions. * $ 2 \ le N \ le 2 \ times 10 ^ 5 $ * $ 2 \ le Q \ le 2 \ times 10 ^ 5 $ * $ 1 \ le a_i \ le 10 ^ 9 $ * $ 1 \ le b_i \ le 10 ^ 9 $ * $ 1 \ le x_i \ le 6 $ * $ 1 \ le y_i \ le N $ (when $ 1 \ le x_i \ le 4 $) * $ y_i = -1 $ (when $ x_i = 5, 6 $) * $ 1 \ le z_i \ le 10 ^ 9 $ (when $ x_i = 1, 2 $) * $ y_i \ le z_i \ le N $ (when $ x_i = 3, 4 $) * $ z_i = -1 $ (when $ x_i = 5, 6 $) * All inputs are integers Input The input is given in the following format. $ N $ $ a_ {1} $ $ a_ {2} $ ... $ a_ {N} $ $ b_ {1} $ $ b_ {2} $ ... $ b_ {N} $ $ Q $ $ x_1 $ $ y_1 $ $ z_1 $ $ x_2 $ $ y_2 $ $ z_2 $ ... $ x_Q $ $ y_Q $ $ z_Q $ Output Every time a statement of $ x = 3 $ or $ x = 4 $ is given by input, the found value is output on one line. Example Input 5 1 3 5 7 9 6 2 3 2 6 10 1 3 4 3 4 5 4 2 3 5 -1 -1 2 3 8 3 2 5 4 3 3 1 1 1 6 -1 -1 3 1 5 Output 7 2 2 8 1
[ { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n3 2 5\n4 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n2\n8\n1" } }, { "input": { "stdin": "5\n1 3 5 14 9\n7 2 0 2 6\n4\n1 3 6\n3 4 5\n3 2 3\n5 -1 -1\n2 6 8\n3 0 5\n7 3 3\n2 1 1\n6 -1 -1\n3 1 6" }, "output": { "stdout": "9\n3\n" } }, { "input": { "stdin": "5\n1 3 5 10 9\n9 2 8 1 1\n10\n1 3 4\n3 4 5\n4 2 3\n5 1 -2\n2 3 8\n2 3 5\n5 4 0\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "9\n2\n1\n" } }, { "input": { "stdin": "5\n0 3 5 7 9\n0 2 3 0 8\n10\n1 1 4\n3 4 5\n1 2 5\n5 -1 -1\n2 3 16\n3 2 5\n4 2 3\n1 1 1\n6 -1 -1\n6 1 5" }, "output": { "stdout": "7\n0\n2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 4 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n3 2 5\n4 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n2\n8\n1\n" } }, { "input": { "stdin": "5\n2 0 5 4 11\n10 2 3 3 0\n3\n1 5 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 2 2\n4 3 3\n2 0 1\n6 -1 0\n3 1 1" }, "output": { "stdout": "4\n2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 0 2 6\n6\n1 3 6\n3 4 5\n3 2 3\n5 -1 -1\n2 3 8\n3 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n3\n0\n" } }, { "input": { "stdin": "5\n0 3 7 7 7\n0 -1 3 2 6\n10\n1 1 4\n2 4 5\n4 2 5\n5 -1 -1\n2 3 16\n3 2 5\n4 2 3\n1 1 1\n6 -1 -1\n6 1 5" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "5\n2 0 5 7 11\n6 4 3 2 0\n3\n1 5 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 2 1\n4 3 3\n2 1 1\n6 -1 0\n3 1 5" }, "output": { "stdout": "6\n3\n" } }, { "input": { "stdin": "5\n1 3 5 7 1\n6 2 3 2 6\n10\n1 3 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "1\n2\n3\n2\n" } }, { "input": { "stdin": "5\n1 3 5 14 9\n6 2 0 2 6\n6\n1 3 6\n3 4 5\n3 2 3\n5 -1 -1\n2 3 8\n3 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "9\n3\n0\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 4 2 6\n10\n1 1 8\n3 4 5\n4 2 3\n5 -1 -1\n2 3 13\n6 2 5\n4 3 3\n2 1 1\n6 -1 0\n3 1 5" }, "output": { "stdout": "7\n2\n4\n2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n8 2 3 2 4\n6\n1 3 6\n2 3 5\n2 2 4\n5 -1 -1\n2 3 0\n3 2 5\n4 3 3\n3 1 1\n6 -1 -1\n3 1 7" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n8 2 3 2 4\n6\n1 3 11\n3 2 5\n4 2 4\n5 -1 -1\n2 3 0\n3 2 5\n8 3 3\n2 1 1\n6 -1 -1\n3 1 0" }, "output": { "stdout": "3\n2\n2\n" } }, { "input": { "stdin": "5\n2 3 5 7 9\n6 2 7 2 1\n10\n1 5 4\n3 4 5\n4 2 3\n5 -1 -1\n1 3 8\n2 3 5\n5 3 1\n2 1 1\n6 -1 -2\n3 1 5" }, "output": { "stdout": "4\n2\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 3 3 2 6\n10\n1 3 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 2 5\n4 3 3\n2 1 1\n6 -1 0\n3 1 5" }, "output": { "stdout": "7\n3\n3\n2\n" } }, { "input": { "stdin": "5\n0 3 7 7 7\n0 0 3 2 6\n10\n1 1 4\n2 4 5\n4 2 5\n5 -1 -1\n2 3 16\n3 2 5\n4 2 3\n1 1 1\n6 -1 -1\n6 1 5" }, "output": { "stdout": "0\n0\n0\n" } }, { "input": { "stdin": "5\n1 0 5 7 9\n6 2 3 4 6\n10\n1 3 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 3\n6 2 5\n4 3 3\n2 1 1\n6 -1 -1\n6 1 4" }, "output": { "stdout": "7\n2\n3\n" } }, { "input": { "stdin": "5\n1 3 5 7 0\n6 2 3 2 6\n10\n1 5 4\n3 4 5\n4 2 3\n5 -1 -1\n2 4 8\n3 2 5\n4 3 3\n1 1 1\n6 -1 0\n3 1 5" }, "output": { "stdout": "4\n2\n2\n3\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 6 8\n3 2 5\n4 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n2\n3\n1\n" } }, { "input": { "stdin": "5\n1 1 5 7 9\n8 2 3 2 4\n6\n1 3 11\n3 2 5\n4 2 4\n5 -1 -1\n2 3 0\n3 2 5\n8 3 3\n2 1 1\n6 -1 -1\n3 1 0" }, "output": { "stdout": "1\n2\n2\n" } }, { "input": { "stdin": "5\n1 3 5 24 9\n6 2 0 2 6\n6\n1 3 6\n1 4 5\n3 1 3\n5 -1 -1\n2 5 8\n3 1 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "1\n0\n" } }, { "input": { "stdin": "5\n1 3 5 2 1\n6 2 3 2 6\n4\n1 3 1\n3 4 5\n4 2 3\n5 -2 -1\n1 3 8\n4 3 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 6\n6\n1 3 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n3 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 1\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n2 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n8\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 3 4 2 1\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 3\n2 2 5\n5 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n3\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 1\n6 2 3 2 6\n10\n2 3 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "1\n2\n6\n2\n" } }, { "input": { "stdin": "5\n2 -1 0 13 22\n10 3 1 1 0\n3\n1 2 6\n3 5 5\n4 2 3\n9 -1 -1\n2 -1 8\n6 2 0\n2 3 1\n2 0 3\n6 -1 1\n3 1 1" }, "output": { "stdout": "22\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 1\n6 2 3 2 6\n10\n1 3 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 2 5\n4 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "1\n2\n3\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 1 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 16\n3 2 5\n4 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n1\n16\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n8 2 3 2 4\n6\n1 3 11\n3 2 5\n4 2 4\n5 -1 -1\n2 3 0\n2 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 0" }, "output": { "stdout": "3\n2\n" } }, { "input": { "stdin": "5\n1 0 5 7 9\n6 1 0 1 6\n2\n1 2 6\n3 5 5\n3 2 3\n5 -1 -1\n2 6 1\n3 3 9\n8 5 5\n2 1 1\n7 -2 -1\n3 2 5" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "5\n1 3 7 7 1\n6 2 2 2 2\n10\n2 4 6\n4 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 0 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "2\n2\n2\n2\n" } }, { "input": { "stdin": "5\n1 4 5 7 9\n12 2 3 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 0\n2 3 16\n3 2 5\n1 3 3\n1 1 0\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n2\n0\n" } }, { "input": { "stdin": "5\n0 3 5 7 9\n0 2 3 2 6\n10\n1 0 4\n3 4 5\n4 2 5\n5 -1 -1\n2 3 16\n3 2 5\n4 2 3\n1 1 1\n6 -1 -1\n6 1 5" }, "output": { "stdout": "7\n2\n2\n2\n" } }, { "input": { "stdin": "5\n2 0 5 7 11\n6 2 1 2 0\n3\n1 5 6\n3 4 5\n4 2 3\n9 -1 -1\n2 3 8\n6 2 2\n4 3 2\n2 0 1\n6 -1 0\n3 1 1" }, "output": { "stdout": "6\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 1\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n2 2 5\n5 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n1\n" } }, { "input": { "stdin": "5\n0 3 5 7 9\n0 2 3 2 6\n10\n1 0 4\n3 4 5\n4 0 5\n5 -1 -1\n2 3 16\n3 2 5\n4 2 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n0\n2\n2\n1\n" } }, { "input": { "stdin": "5\n2 3 5 7 1\n1 2 3 2 6\n10\n1 3 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n4 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "1\n2\n2\n8\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 4 3 6\n10\n2 3 3\n3 4 5\n4 2 3\n5 -1 -2\n2 3 8\n6 0 5\n4 3 3\n1 1 1\n6 -1 -2\n3 1 5" }, "output": { "stdout": "7\n2\n3\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 16\n3 2 5\n4 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n2\n16\n1\n" } }, { "input": { "stdin": "5\n1 4 5 7 9\n12 2 3 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 0\n2 3 16\n3 2 5\n1 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n2\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 6\n10\n1 5 6\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n6 2 1\n4 3 3\n2 1 1\n6 -1 0\n3 1 5" }, "output": { "stdout": "6\n2\n3\n2\n" } }, { "input": { "stdin": "5\n1 4 5 2 1\n6 2 3 0 6\n10\n1 3 0\n3 4 5\n4 2 3\n5 -1 -1\n1 4 8\n4 3 5\n4 1 3\n2 2 1\n6 -1 0\n5 1 5" }, "output": { "stdout": "1\n2\n0\n2\n" } }, { "input": { "stdin": "5\n1 3 5 6 9\n6 2 3 0 6\n3\n1 3 6\n4 4 5\n4 2 3\n5 -1 -1\n2 3 1\n3 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "0\n2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 2 3 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n2 2 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n2\n8\n2\n" } }, { "input": { "stdin": "5\n1 3 5 14 9\n6 2 0 2 6\n6\n1 3 6\n1 4 5\n3 2 3\n5 -1 -1\n2 5 8\n3 0 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "3\n0\n" } }, { "input": { "stdin": "5\n2 6 5 7 9\n8 2 3 2 4\n6\n1 0 6\n3 3 4\n4 2 4\n5 -1 -1\n2 6 0\n3 4 5\n4 3 3\n2 1 1\n6 -1 -1\n3 1 0" }, "output": { "stdout": "5\n2\n2\n" } }, { "input": { "stdin": "5\n1 3 5 7 9\n6 6 4 2 1\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 3\n2 2 5\n5 3 3\n2 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "7\n4\n1\n" } }, { "input": { "stdin": "5\n1 3 5 7 0\n6 2 3 2 6\n10\n1 3 4\n3 4 5\n4 2 3\n5 -1 -1\n2 3 8\n3 2 5\n4 3 3\n1 1 1\n6 -1 -1\n3 1 5" }, "output": { "stdout": "0\n2\n2\n8\n1\n" } } ]
{ "tags": [], "title": "RMQ 2" }
{ "cpp": "#include<bits/stdc++.h>\n#define rep(i,a,b) for(int i=a;i<b;i++)\n#define rrep(i,a,b) for(int i=a;i>=b;i--)\n#define fore(i,a) for(auto &i:a)\n#pragma GCC optimize (\"-O3\")\nusing namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); }\n//---------------------------------------------------------------------------------------------------\n/*---------------------------------------------------------------------------------------------------\n????????????????????????????????? ??§?????§ \n??????????????? ??§?????§ ???????´<_??? ?????? Welcome to My Coding Space!\n???????????? ??? ?´_???`??????/??? ???i \n?????????????????????????????? ??? |???| \n????????? /?????? /??£??£??£??£/??????| \n??? ???_(__??????/??? ???/ .| .|???????????? \n??? ????????????/????????????/??????u?????? \n---------------------------------------------------------------------------------------------------*/\n\n\n\n\nint N, A[201010], B[201010], Q;\n//--------------------------------------------------------------------------------------------------\n#define INF INT_MAX/2\nint S, Ami[1010], Bmi[1010];\nint AorB[1010]; // -1:none 0:A 1:B\nvoid update(int s) {\n int L = s * S, R = (s + 1) * S;\n\n Ami[s] = Bmi[s] = INF;\n rep(i, L, R) if (i < N) {\n Ami[s] = min(Ami[s], A[i]);\n Bmi[s] = min(Bmi[s], B[i]);\n }\n}\nvoid lazy(int s) {\n int L = s * S, R = (s + 1) * S;\n\n if (AorB[s] == 0) {\n rep(i, L, R) if (i < N) B[i] = A[i];\n AorB[s] = -1;\n }\n if(AorB[s] == 1) {\n rep(i, L, R) if (i < N) A[i] = B[i];\n AorB[s] = -1;\n }\n}\nvoid init() {\n S = sqrt(N);\n rep(i, 0, N / S + 1) update(i);\n rep(i, 0, N / S + 1) AorB[i] = -1;\n}\n//--------------------------------------------------------------------------------------------------\nvoid _main() {\n cin >> N;\n rep(i, 0, N) cin >> A[i];\n rep(i, 0, N) cin >> B[i];\n\n init();\n\n cin >> Q;\n rep(i, 0, Q) {\n int x, y, z; cin >> x >> y >> z;\n\n if (x == 1) {\n y--;\n int s = y / S;\n lazy(s);\n A[y] = z;\n update(s);\n }\n\n if (x == 2) {\n y--;\n int s = y / S;\n lazy(s);\n B[y] = z;\n update(s);\n }\n\n if (x == 3) {\n y--;\n\n int ans = INF;\n rep(i, 0, N / S + 1) {\n int a = i * S, b = (i + 1) * S;\n if (y <= a && b <= z) {\n if (AorB[i] == 1) ans = min(ans, Bmi[i]);\n else ans = min(ans, Ami[i]);\n }\n else {\n if (max(a, y) < min(b, z)) {\n lazy(i);\n update(i);\n rep(j, max(a, y), min(b, z)) ans = min(ans, A[j]);\n }\n }\n }\n\n printf(\"%d\\n\", ans);\n }\n\n if (x == 4) {\n y--;\n\n int ans = INF;\n rep(i, 0, N / S + 1) {\n int a = i * S, b = (i + 1) * S;\n if (y <= a && b <= z) {\n if (AorB[i] == 0) ans = min(ans, Ami[i]);\n else ans = min(ans, Bmi[i]);\n }\n else {\n if (max(a, y) < min(b, z)) {\n lazy(i);\n update(i);\n rep(j, max(a, y), min(b, z)) ans = min(ans, B[j]);\n }\n }\n }\n\n printf(\"%d\\n\", ans);\n }\n\n if (x == 5) {\n rep(i, 0, N / S + 1) if (AorB[i] != 0) AorB[i] = 1;\n }\n\n if (x == 6) {\n rep(i, 0, N / S + 1) if (AorB[i] != 1) AorB[i] = 0;\n }\n }\n}", "java": "import java.io.ByteArrayInputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.ArrayList;\nimport java.util.Arrays;\nimport java.util.InputMismatchException;\nimport java.util.List;\n\npublic class Main {\n\tstatic InputStream is;\n\tstatic PrintWriter out;\n\tstatic String INPUT = \"\";\n\t\n\tstatic void solve()\n\t{\n\t\tint n = ni();\n\t\tint[] a = na(n);\n\t\tint[] b = na(n);\n\t\tint Q = ni();\n\t\tint[][] qs = new int[Q+2][];\n\t\tfor(int i = 0;i < Q;i++){\n\t\t\tqs[i+2] = na(3);\n\t\t}\n\t\tqs[0] = new int[]{3, 1, 1};\n\t\tqs[1] = new int[]{4, 1, 1};\n\t\tint af = 0, bf = 1;\n\t\tQ += 2;\n\t\t\n\t\tint al = -1, bl = -1;\n\t\tint[] par = new int[Q];\n\t\tfor(int i = 0;i < Q;i++){\n\t\t\tint[] q = qs[i];\n\t\t\tif(q[0] <= 4){\n\t\t\t\tif(q[0] % 2 == 1){\n\t\t\t\t\tpar[i] = al;\n\t\t\t\t\tal = i;\n\t\t\t\t}else{\n\t\t\t\t\tpar[i] = bl;\n\t\t\t\t\tbl = i;\n\t\t\t\t}\n\t\t\t}else{\n\t\t\t\tif(q[0] == 5){\n\t\t\t\t\tpar[i] = bl;\n\t\t\t\t\tal = bl;\n\t\t\t\t}else{\n\t\t\t\t\tpar[i] = al;\n\t\t\t\t\tbl = al;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\t\n\t\tList<List<Integer>> ch = new ArrayList<>();\n\t\tfor(int i = 0;i < Q;i++){\n\t\t\tch.add(new ArrayList<>());\n\t\t}\n\t\tfor(int i = 0;i < Q;i++){\n\t\t\tif(par[i] != -1){\n\t\t\t\tch.get(par[i]).add(i);\n\t\t\t}\n\t\t}\n\t\t\n\t\tint[] ans = new int[Q];\n\t\tdfs(af, ch, new SegmentTreeRMQ(a), qs, ans);\n\t\tdfs(bf, ch, new SegmentTreeRMQ(b), qs, ans);\n\t\tfor(int i = 2;i < Q;i++){\n\t\t\tif(qs[i][0] >= 3 && qs[i][0] <= 4){\n\t\t\t\tout.println(ans[i]);\n\t\t\t}\n\t\t}\n\t}\n\t\n\tstatic void dfs(int cur, List<List<Integer>> ch, SegmentTreeRMQ st, int[][] qs, int[] ans)\n\t{\n\t\tif(cur < 0)return;\n\t\tint prev = -1;\n\t\tint[] q = qs[cur];\n\t\tif(q[0] <= 2){\n\t\t\tprev = st.minx(q[1]-1, q[1]);\n\t\t\tst.update(q[1]-1, q[2]);\n\t\t}else if(q[0] <= 4){\n\t\t\tans[cur] = st.minx(q[1]-1, q[2]-1+1);\n\t\t}\n\t\tfor(int e : ch.get(cur)){\n\t\t\tdfs(e, ch, st, qs, ans);\n\t\t}\n\t\tif(q[0] <= 2){\n\t\t\tst.update(q[1]-1, prev);\n\t\t}\n\t}\n\t\n\tpublic static class SegmentTreeRMQ {\n\t\tpublic int M, H, N;\n\t\tpublic int[] st;\n\t\n\t\tpublic SegmentTreeRMQ(int[] a)\n\t\t{\n\t\t\tN = a.length;\n\t\t\tM = Integer.highestOneBit(Math.max(N-1, 1))<<2;\n\t\t\tH = M>>>1;\n\t\t\tst = new int[M];\n\t\t\tfor(int i = 0;i < N;i++)st[H+i] =a[i];\n\t\t\tArrays.fill(st, H+N, M, Integer.MAX_VALUE);\n\t\t\tfor(int i = H-1;i >= 1;i--)propagate(i);\n\t\t}\n\t\t\n\t\tpublic void update(int pos, int x)\n\t\t{\n\t\t\tst[H+pos] = x;\n\t\t\tfor(int i = H+pos>>>1;i >= 1;i>>>=1)propagate(i);\n\t\t}\n\t\t\n\t\tprivate void propagate(int i)\n\t\t{\n\t\t\tst[i] = Math.min(st[2*i], st[2*i+1]);\n\t\t}\n\t\t\n\t\tpublic int minx(int l, int r)\n\t\t{\n\t\t\tint min = Integer.MAX_VALUE;\n\t\t\tif(l >= r)return min;\n\t\t\twhile(l != 0){\n\t\t\t\tint f = l&-l;\n\t\t\t\tif(l+f > r)break;\n\t\t\t\tint v = st[(H+l)/f];\n\t\t\t\tif(v < min)min = v;\n\t\t\t\tl += f;\n\t\t\t}\n\t\t\twhile(l < r){\n\t\t\t\tint f = r&-r;\n\t\t\t\tint v = st[(H+r)/f-1];\n\t\t\t\tif(v < min)min = v;\n\t\t\t\tr -= f;\n\t\t\t}\n\t\t\treturn min;\n\t\t}\n\t}\n\t\n\t\n\tpublic static void main(String[] args) throws Exception\n\t{\n\t\tis = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());\n\t\tout = new PrintWriter(System.out);\n\t\tThread t = new Thread(null, null, \"~\", Runtime.getRuntime().maxMemory()){\n\t\t\t@Override\n\t\t\tpublic void run() {\n\t\t\t\tlong s = System.currentTimeMillis();\n\t\t\t\tsolve();\n\t\t\t\tout.flush();\n\t\t\t\tif(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+\"ms\");\n\t\t\t}\n\t\t};\n\t\tt.start();\n\t\tt.join();\n\t}\n\t\n\tprivate static boolean eof()\n\t{\n\t\tif(lenbuf == -1)return true;\n\t\tint lptr = ptrbuf;\n\t\twhile(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false;\n\t\t\n\t\ttry {\n\t\t\tis.mark(1000);\n\t\t\twhile(true){\n\t\t\t\tint b = is.read();\n\t\t\t\tif(b == -1){\n\t\t\t\t\tis.reset();\n\t\t\t\t\treturn true;\n\t\t\t\t}else if(!isSpaceChar(b)){\n\t\t\t\t\tis.reset();\n\t\t\t\t\treturn false;\n\t\t\t\t}\n\t\t\t}\n\t\t} catch (IOException e) {\n\t\t\treturn true;\n\t\t}\n\t}\n\t\n\tprivate static byte[] inbuf = new byte[1024];\n\tpublic static int lenbuf = 0, ptrbuf = 0;\n\t\n\tprivate static int readByte()\n\t{\n\t\tif(lenbuf == -1)throw new InputMismatchException();\n\t\tif(ptrbuf >= lenbuf){\n\t\t\tptrbuf = 0;\n\t\t\ttry { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }\n\t\t\tif(lenbuf <= 0)return -1;\n\t\t}\n\t\treturn inbuf[ptrbuf++];\n\t}\n\t\n\tprivate static boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }\n\tprivate static int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }\n\t\n\tprivate static double nd() { return Double.parseDouble(ns()); }\n\tprivate static char nc() { return (char)skip(); }\n\t\n\tprivate static String ns()\n\t{\n\t\tint b = skip();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')\n\t\t\tsb.appendCodePoint(b);\n\t\t\tb = readByte();\n\t\t}\n\t\treturn sb.toString();\n\t}\n\t\n\tprivate static char[] ns(int n)\n\t{\n\t\tchar[] buf = new char[n];\n\t\tint b = skip(), p = 0;\n\t\twhile(p < n && !(isSpaceChar(b))){\n\t\t\tbuf[p++] = (char)b;\n\t\t\tb = readByte();\n\t\t}\n\t\treturn n == p ? buf : Arrays.copyOf(buf, p);\n\t}\n\t\n\tprivate static char[][] nm(int n, int m)\n\t{\n\t\tchar[][] map = new char[n][];\n\t\tfor(int i = 0;i < n;i++)map[i] = ns(m);\n\t\treturn map;\n\t}\n\t\n\tprivate static int[] na(int n)\n\t{\n\t\tint[] a = new int[n];\n\t\tfor(int i = 0;i < n;i++)a[i] = ni();\n\t\treturn a;\n\t}\n\t\n\tprivate static int ni()\n\t{\n\t\tint num = 0, b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\t\t\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\t\n\tprivate static long nl()\n\t{\n\t\tlong num = 0;\n\t\tint b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\t\t\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\t\n\tprivate static void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); }\n}", "python": null }
AIZU/p02262
# Shell Sort Shell Sort Shell Sort is a generalization of Insertion Sort to arrange a list of $n$ elements $A$. 1 insertionSort(A, n, g) 2 for i = g to n-1 3 v = A[i] 4 j = i - g 5 while j >= 0 && A[j] > v 6 A[j+g] = A[j] 7 j = j - g 8 cnt++ 9 A[j+g] = v 10 11 shellSort(A, n) 12 cnt = 0 13 m = ? 14 G[] = {?, ?,..., ?} 15 for i = 0 to m-1 16 insertionSort(A, n, G[i]) A function shellSort(A, n) performs a function insertionSort(A, n, g), which considers every $g$-th elements. Beginning with large values of $g$, it repeats the insertion sort with smaller $g$. Your task is to complete the above program by filling ?. Write a program which reads an integer $n$ and a sequence $A$, and prints $m$, $G_i (i = 0, 1, ..., m − 1)$ in the pseudo code and the sequence $A$ in ascending order. The output of your program must meet the following requirements: * $1 \leq m \leq 100$ * $0 \leq G_i \leq n$ * cnt does not exceed $\lceil n^{1.5}\rceil$ Constraints * $1 \leq n \leq 1,000,000$ * $0 \leq A_i \leq 10^9$ Input In the first line, an integer $n$ is given. In the following $n$ lines, $A_i (i=0,1,...,n-1)$ are given for each line. Output In the first line, print an integer $m$. In the second line, print $m$ integers $G_i (i=0,1,...,m-1)$ separated by single space character in a line. In the third line, print cnt in a line. In the following $n$ lines, print $A_i (i=0,1,...,n-1)$ respectively. This problem has multiple solutions and the judge will be performed by a special validator. Examples Input 5 5 1 4 3 2 Output 2 4 1 3 1 2 3 4 5 Input 3 3 2 1 Output 1 1 3 1 2 3
[ { "input": { "stdin": "5\n5\n1\n4\n3\n2" }, "output": { "stdout": "2\n4 1\n3\n1\n2\n3\n4\n5" } }, { "input": { "stdin": "3\n3\n2\n1" }, "output": { "stdout": "1\n1\n3\n1\n2\n3" } }, { "input": { "stdin": "5\n6\n1\n0\n7\n2" }, "output": { "stdout": "2\n4 1\n5\n0\n1\n2\n6\n7\n" } }, { "input": { "stdin": "3\n1\n1\n-1" }, "output": { "stdout": "1\n1\n2\n-1\n1\n1\n" } }, { "input": { "stdin": "5\n6\n1\n2\n13\n2" }, "output": { "stdout": "2\n4 1\n3\n1\n2\n2\n6\n13\n" } }, { "input": { "stdin": "3\n0\n2\n0" }, "output": { "stdout": "1\n1\n1\n0\n0\n2\n" } }, { "input": { "stdin": "5\n2\n3\n2\n2\n-1" }, "output": { "stdout": "2\n4 1\n4\n-1\n2\n2\n2\n3\n" } }, { "input": { "stdin": "3\n1\n18\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n1\n18\n" } }, { "input": { "stdin": "3\n4\n1\n-2" }, "output": { "stdout": "1\n1\n3\n-2\n1\n4\n" } }, { "input": { "stdin": "3\n0\n11\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n0\n11\n" } }, { "input": { "stdin": "3\n-1\n0\n-1" }, "output": { "stdout": "1\n1\n1\n-1\n-1\n0\n" } }, { "input": { "stdin": "3\n8\n2\n-2" }, "output": { "stdout": "1\n1\n3\n-2\n2\n8\n" } }, { "input": { "stdin": "3\n4\n2\n-2" }, "output": { "stdout": "1\n1\n3\n-2\n2\n4\n" } }, { "input": { "stdin": "5\n6\n1\n4\n6\n2" }, "output": { "stdout": "2\n4 1\n2\n1\n2\n4\n6\n6\n" } }, { "input": { "stdin": "5\n3\n0\n2\n3\n0" }, "output": { "stdout": "2\n4 1\n1\n0\n0\n2\n3\n3\n" } }, { "input": { "stdin": "5\n5\n1\n4\n5\n2" }, "output": { "stdout": "2\n4 1\n2\n1\n2\n4\n5\n5\n" } }, { "input": { "stdin": "5\n6\n1\n1\n7\n2" }, "output": { "stdout": "2\n4 1\n4\n1\n1\n2\n6\n7\n" } }, { "input": { "stdin": "5\n1\n0\n0\n3\n-1" }, "output": { "stdout": "2\n4 1\n2\n-1\n0\n0\n1\n3\n" } }, { "input": { "stdin": "5\n2\n4\n1\n1\n-1" }, "output": { "stdout": "2\n4 1\n4\n-1\n1\n1\n2\n4\n" } }, { "input": { "stdin": "3\n2\n1\n2" }, "output": { "stdout": "1\n1\n1\n1\n2\n2\n" } }, { "input": { "stdin": "5\n7\n1\n4\n9\n3" }, "output": { "stdout": "2\n4 1\n3\n1\n3\n4\n7\n9\n" } }, { "input": { "stdin": "5\n4\n1\n2\n6\n1" }, "output": { "stdout": "2\n4 1\n2\n1\n1\n2\n4\n6\n" } }, { "input": { "stdin": "5\n6\n1\n2\n6\n1" }, "output": { "stdout": "2\n4 1\n1\n1\n1\n2\n6\n6\n" } }, { "input": { "stdin": "3\n2\n0\n8" }, "output": { "stdout": "1\n1\n1\n0\n2\n8\n" } }, { "input": { "stdin": "3\n0\n2\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n0\n2\n" } }, { "input": { "stdin": "3\n0\n3\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n0\n3\n" } }, { "input": { "stdin": "5\n2\n6\n1\n3\n0" }, "output": { "stdout": "2\n4 1\n5\n0\n1\n2\n3\n6\n" } }, { "input": { "stdin": "3\n0\n0\n1" }, "output": { "stdout": "1\n1\n0\n0\n0\n1\n" } }, { "input": { "stdin": "3\n0\n11\n1" }, "output": { "stdout": "1\n1\n1\n0\n1\n11\n" } }, { "input": { "stdin": "5\n4\n1\n2\n13\n1" }, "output": { "stdout": "2\n4 1\n2\n1\n1\n2\n4\n13\n" } }, { "input": { "stdin": "3\n-2\n0\n0" }, "output": { "stdout": "1\n1\n0\n-2\n0\n0\n" } }, { "input": { "stdin": "3\n1\n1\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n1\n1\n" } }, { "input": { "stdin": "3\n0\n6\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n0\n6\n" } }, { "input": { "stdin": "3\n2\n2\n4" }, "output": { "stdout": "1\n1\n0\n2\n2\n4\n" } }, { "input": { "stdin": "3\n0\n1\n1" }, "output": { "stdout": "1\n1\n0\n0\n1\n1\n" } }, { "input": { "stdin": "3\n1\n1\n0" }, "output": { "stdout": "1\n1\n2\n0\n1\n1\n" } }, { "input": { "stdin": "5\n6\n2\n2\n6\n1" }, "output": { "stdout": "2\n4 1\n1\n1\n2\n2\n6\n6\n" } }, { "input": { "stdin": "5\n6\n1\n1\n13\n2" }, "output": { "stdout": "2\n4 1\n4\n1\n1\n2\n6\n13\n" } }, { "input": { "stdin": "5\n6\n6\n2\n3\n1" }, "output": { "stdout": "2\n4 1\n3\n1\n2\n3\n6\n6\n" } }, { "input": { "stdin": "5\n2\n3\n2\n3\n-1" }, "output": { "stdout": "2\n4 1\n4\n-1\n2\n2\n3\n3\n" } }, { "input": { "stdin": "3\n1\n10\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n1\n10\n" } }, { "input": { "stdin": "3\n0\n1\n0" }, "output": { "stdout": "1\n1\n1\n0\n0\n1\n" } }, { "input": { "stdin": "3\n1\n11\n0" }, "output": { "stdout": "1\n1\n2\n0\n1\n11\n" } }, { "input": { "stdin": "5\n4\n6\n1\n3\n0" }, "output": { "stdout": "2\n4 1\n4\n0\n1\n3\n4\n6\n" } }, { "input": { "stdin": "5\n6\n1\n5\n7\n1" }, "output": { "stdout": "2\n4 1\n2\n1\n1\n5\n6\n7\n" } }, { "input": { "stdin": "3\n0\n11\n-1" }, "output": { "stdout": "1\n1\n2\n-1\n0\n11\n" } }, { "input": { "stdin": "3\n1\n6\n-2" }, "output": { "stdout": "1\n1\n2\n-2\n1\n6\n" } }, { "input": { "stdin": "5\n6\n1\n4\n5\n2" }, "output": { "stdout": "2\n4 1\n2\n1\n2\n4\n5\n6\n" } }, { "input": { "stdin": "5\n6\n2\n2\n3\n1" }, "output": { "stdout": "2\n4 1\n1\n1\n2\n2\n3\n6\n" } }, { "input": { "stdin": "5\n7\n1\n4\n9\n1" }, "output": { "stdout": "2\n4 1\n2\n1\n1\n4\n7\n9\n" } } ]
{ "tags": [], "title": "Shell Sort" }
{ "cpp": "#include<iostream>\nusing namespace std;\n\nint n, A[1001000];\nint G[110];\n\nint insertionSort(int g) {\n int cnt = 0;\n for(int i=g;i<n;i++){\n int v = A[i];\n int j = i-g;\n while(j>=0&&A[j]>v){\n A[j+g]=A[j];\n j -= g;\n cnt++;\n }\n A[j+g]=v;\n }\n return cnt;\n}\nvoid shellSort(){\n int cnt = 0;\n int g=1;\n int m=0;\n while(g<=n){\n G[m++]=g;\n g=g*3+1;\n }\n for(int i=m-1;i>=0;i--){\n cnt += insertionSort(G[i]);\n }\n cout<<m<<endl;\n for(int i=m-1;i>=0;i--){\n cout << G[i] << ((i == 0) ? \"\\n\" : \" \");\n }\n cout<<cnt<<endl;\n for(int i=0;i<n;i++){\n cout<<A[i]<<endl;\n }\n}\n\nint main(){\n cin>>n;\n for(int i=0;i<n;i++){\n cin>>A[i];\n }\n shellSort();\n \n}\n", "java": "import java.util.Scanner;\n\npublic class Main {\n\n public static int count;\n public static int m;\n public static int[] G = new int[100];\n\n\tpublic static void main(String[] args){\n\t\tScanner stdIn = new Scanner(System.in);\n\n\t\tint n = stdIn.nextInt();\n int [] a = new int[n];\n\n for(int i = 0; i < n; i++){\n \ta[i] = stdIn.nextInt();\n }\n stdIn.close();\n\n shellSort(a,n);\n\n //m出力\n System.out.println(m);\n //g出力\n for (int i = m - 1; i >= 0; i--) {\n if (i != 0)\n System.out.print(G[i] + \" \");\n else\n System.out.println(G[i]);\n }\n //count出力\n System.out.println(count);\n\n out_put(a);\n\t}\n\n\tprivate static void out_put(int array[]){\n\n \tfor(int i = 0; i < array.length; i++){\n \t\tSystem.out.printf(\"%s\", array[i]);\n System.out.printf(\"%n\");\n \t}\n }\n\tprivate static void insertionSort(int A[], int n, int g) {\n for (int i = g; i < n; i++) {\n \tint v = A[i];\n \tint j = i - g;\n \twhile (j >= 0 && A[j] > v){\n A[j+g] = A[j];\n \t\tj = j - g;\n \t\tcount++;\n \t}\n \tA[j+g] = v;\n }\n\t}\n\tprivate static void shellSort(int A[], int n) {\n\t\t//初期化\n\t count = 0;\n\t m = 0;\n\n\t for (int i = 1; ;i = 3 * i + 1) {\n\t if (i > n) break;\n\t G[m] = i;\n\t m++;\n\t }\n\t\tfor (int i = m-1; i >=0; i--){\n insertionSort(A, n, G[i]);\n\t\t}\n\t}\n}\n\n", "python": "N = int(input())\nA = []\nCnt = 0\n\nfor i in range(N):\n A.append(int(input()))\n\n\ndef InsertSort(g):\n global A, N, Cnt\n for i in range(g, N):\n j = i - g\n v = A[i]\n while j >= 0 and A[j] > v:\n Cnt += 1\n A[j + g] = A[j]\n j -= g\n A[j + g] = v\n\n\nG = []\nl = 0\nwhile l <= N:\n G.append(l)\n l = 3 * l + 1\nG.reverse()\ns = ''\nfor g in G:\n s += str(g) + ' '\n InsertSort(g)\nprint(len(G))\nprint(s.rstrip())\nprint(Cnt)\nfor a in A:\n print(a)\n\n\n\n\n\n" }
AIZU/p02410
# Matrix Vector Multiplication Write a program which reads a $ n \times m$ matrix $A$ and a $m \times 1$ vector $b$, and prints their product $Ab$. A column vector with m elements is represented by the following equation. \\[ b = \left( \begin{array}{c} b_1 \\\ b_2 \\\ : \\\ b_m \\\ \end{array} \right) \\] A $n \times m$ matrix with $m$ column vectors, each of which consists of $n$ elements, is represented by the following equation. \\[ A = \left( \begin{array}{cccc} a_{11} & a_{12} & ... & a_{1m} \\\ a_{21} & a_{22} & ... & a_{2m} \\\ : & : & : & : \\\ a_{n1} & a_{n2} & ... & a_{nm} \\\ \end{array} \right) \\] $i$-th element of a $m \times 1$ column vector $b$ is represented by $b_i$ ($i = 1, 2, ..., m$), and the element in $i$-th row and $j$-th column of a matrix $A$ is represented by $a_{ij}$ ($i = 1, 2, ..., n,$ $j = 1, 2, ..., m$). The product of a $n \times m$ matrix $A$ and a $m \times 1$ column vector $b$ is a $n \times 1$ column vector $c$, and $c_i$ is obtained by the following formula: \\[ c_i = \sum_{j=1}^m a_{ij}b_j = a_{i1}b_1 + a_{i2}b_2 + ... + a_{im}b_m \\] Constraints * $1 \leq n, m \leq 100$ * $0 \leq b_i, a_{ij} \leq 1000$ Input In the first line, two integers $n$ and $m$ are given. In the following $n$ lines, $a_{ij}$ are given separated by a single space character. In the next $m$ lines, $b_i$ is given in a line. Output The output consists of $n$ lines. Print $c_i$ in a line. Example Input 3 4 1 2 0 1 0 3 0 1 4 1 1 0 1 2 3 0 Output 5 6 9
[ { "input": { "stdin": "3 4\n1 2 0 1\n0 3 0 1\n4 1 1 0\n1\n2\n3\n0" }, "output": { "stdout": "5\n6\n9" } }, { "input": { "stdin": "3 4\n2 4 -2 1\n0 3 0 1\n4 1 1 0\n1\n2\n3\n0" }, "output": { "stdout": "4\n6\n9\n" } }, { "input": { "stdin": "3 4\n0 1 0 1\n0 3 0 1\n8 1 2 0\n0\n2\n3\n1" }, "output": { "stdout": "3\n7\n8\n" } }, { "input": { "stdin": "3 4\n0 2 1 1\n0 3 0 1\n8 1 2 0\n0\n2\n3\n1" }, "output": { "stdout": "8\n7\n8\n" } }, { "input": { "stdin": "3 4\n1 7 -1 1\n0 3 1 1\n4 1 1 0\n1\n2\n2\n0" }, "output": { "stdout": "13\n8\n8\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 1 2\n4 1 1 -1\n1\n0\n3\n-1" }, "output": { "stdout": "0\n1\n8\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 0 1\n4 1 1 0\n1\n3\n3\n0" }, "output": { "stdout": "13\n9\n10\n" } }, { "input": { "stdin": "3 4\n1 4 0 2\n0 3 0 1\n4 1 1 0\n1\n3\n12\n0" }, "output": { "stdout": "13\n9\n19\n" } }, { "input": { "stdin": "3 4\n2 4 -1 1\n0 3 0 1\n4 1 1 0\n1\n2\n3\n0" }, "output": { "stdout": "7\n6\n9\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 1 1\n4 1 1 0\n1\n2\n0\n0" }, "output": { "stdout": "9\n6\n6\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 1 1\n4 1 1 0\n1\n2\n3\n0" }, "output": { "stdout": "9\n9\n9\n" } }, { "input": { "stdin": "3 4\n1 4 -2 1\n0 3 0 -1\n4 1 0 0\n1\n-2\n3\n0" }, "output": { "stdout": "-13\n-6\n2\n" } }, { "input": { "stdin": "3 4\n1 4 0 2\n0 3 0 1\n4 1 1 0\n1\n2\n12\n0" }, "output": { "stdout": "9\n6\n18\n" } }, { "input": { "stdin": "3 4\n1 1 0 1\n0 3 1 1\n0 0 1 -1\n1\n2\n0\n0" }, "output": { "stdout": "3\n6\n0\n" } }, { "input": { "stdin": "3 4\n0 2 0 1\n1 0 0 2\n8 1 1 0\n1\n2\n0\n0" }, "output": { "stdout": "4\n1\n10\n" } }, { "input": { "stdin": "3 4\n1 4 -1 1\n0 3 0 1\n3 1 1 0\n1\n-1\n3\n0" }, "output": { "stdout": "-6\n-3\n5\n" } }, { "input": { "stdin": "3 4\n-1 2 1 1\n0 1 0 1\n8 1 2 0\n0\n2\n3\n1" }, "output": { "stdout": "8\n3\n8\n" } }, { "input": { "stdin": "3 4\n1 1 0 1\n0 3 0 1\n4 1 2 0\n1\n2\n3\n0" }, "output": { "stdout": "3\n6\n12\n" } }, { "input": { "stdin": "3 4\n1 4 -2 1\n0 3 0 -1\n4 1 1 0\n1\n-1\n3\n0" }, "output": { "stdout": "-9\n-3\n6\n" } }, { "input": { "stdin": "3 4\n0 2 0 1\n0 3 0 1\n4 1 2 0\n1\n2\n5\n0" }, "output": { "stdout": "4\n6\n16\n" } }, { "input": { "stdin": "3 4\n1 4 -2 1\n0 3 0 -1\n4 1 0 0\n1\n-1\n3\n0" }, "output": { "stdout": "-9\n-3\n3\n" } }, { "input": { "stdin": "3 4\n0 1 0 1\n0 3 0 1\n4 1 2 0\n1\n2\n3\n0" }, "output": { "stdout": "2\n6\n12\n" } }, { "input": { "stdin": "3 4\n-1 3 0 1\n1 0 0 4\n8 1 1 0\n1\n2\n0\n0" }, "output": { "stdout": "5\n1\n10\n" } }, { "input": { "stdin": "3 4\n1 4 -2 1\n0 3 0 1\n4 2 1 0\n1\n1\n3\n-1" }, "output": { "stdout": "-2\n2\n9\n" } }, { "input": { "stdin": "3 4\n1 4 -3 1\n0 3 0 1\n4 2 1 0\n1\n1\n3\n-1" }, "output": { "stdout": "-5\n2\n9\n" } }, { "input": { "stdin": "3 4\n0 7 -7 0\n0 4 0 1\n4 2 1 0\n1\n1\n3\n-1" }, "output": { "stdout": "-14\n3\n9\n" } }, { "input": { "stdin": "3 4\n-1 4 0 1\n0 0 0 6\n8 1 1 -1\n1\n2\n0\n-1" }, "output": { "stdout": "6\n-6\n11\n" } }, { "input": { "stdin": "3 4\n0 7 -4 0\n0 4 0 1\n4 2 1 0\n1\n1\n3\n-1" }, "output": { "stdout": "-5\n3\n9\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 0 1\n4 1 1 0\n1\n2\n6\n0" }, "output": { "stdout": "9\n6\n12\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 1 2\n4 1 1 0\n0\n-1\n3\n-1" }, "output": { "stdout": "-5\n-2\n2\n" } }, { "input": { "stdin": "3 4\n1 7 -1 1\n0 3 0 1\n3 1 2 -1\n2\n2\n3\n0" }, "output": { "stdout": "13\n6\n14\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 1 1\n3 1 1 0\n1\n2\n3\n0" }, "output": { "stdout": "9\n9\n8\n" } }, { "input": { "stdin": "3 4\n1 4 -1 1\n0 3 0 1\n4 1 1 0\n1\n1\n3\n0" }, "output": { "stdout": "2\n3\n8\n" } }, { "input": { "stdin": "3 4\n1 7 -1 1\n0 3 0 1\n4 1 2 -1\n1\n2\n3\n0" }, "output": { "stdout": "12\n6\n12\n" } }, { "input": { "stdin": "3 4\n1 4 0 2\n0 3 0 1\n4 1 1 0\n0\n2\n12\n0" }, "output": { "stdout": "8\n6\n14\n" } }, { "input": { "stdin": "3 4\n0 7 -6 0\n0 4 0 1\n4 2 1 0\n1\n1\n3\n-1" }, "output": { "stdout": "-11\n3\n9\n" } }, { "input": { "stdin": "3 4\n-1 4 0 1\n2 0 0 6\n8 0 1 -1\n1\n2\n0\n-1" }, "output": { "stdout": "6\n-4\n9\n" } }, { "input": { "stdin": "3 4\n1 4 -1 1\n0 3 0 1\n4 1 1 0\n1\n-1\n3\n0" }, "output": { "stdout": "-6\n-3\n6\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 0 1\n4 1 1 0\n1\n0\n3\n-1" }, "output": { "stdout": "0\n-1\n7\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 3 1 2\n4 1 1 -1\n1\n2\n3\n-1" }, "output": { "stdout": "8\n7\n10\n" } }, { "input": { "stdin": "3 4\n1 4 0 1\n0 0 1 1\n4 1 1 0\n1\n2\n0\n0" }, "output": { "stdout": "9\n0\n6\n" } }, { "input": { "stdin": "3 4\n1 7 -1 1\n0 3 1 1\n4 1 1 0\n1\n2\n3\n0" }, "output": { "stdout": "12\n9\n9\n" } }, { "input": { "stdin": "3 4\n1 7 -1 1\n0 3 0 1\n4 1 1 0\n1\n2\n3\n0" }, "output": { "stdout": "12\n6\n9\n" } }, { "input": { "stdin": "3 4\n0 1 1 1\n0 3 0 1\n8 1 2 0\n0\n2\n3\n1" }, "output": { "stdout": "6\n7\n8\n" } }, { "input": { "stdin": "3 4\n-1 4 0 1\n1 0 0 4\n8 1 1 0\n1\n2\n0\n0" }, "output": { "stdout": "7\n1\n10\n" } }, { "input": { "stdin": "3 4\n0 8 0 1\n2 0 0 6\n8 0 1 -1\n1\n2\n0\n-1" }, "output": { "stdout": "15\n-4\n9\n" } }, { "input": { "stdin": "3 4\n-1 8 0 1\n2 0 0 6\n8 0 1 -1\n1\n2\n0\n-1" }, "output": { "stdout": "14\n-4\n9\n" } }, { "input": { "stdin": "3 4\n1 1 0 1\n0 0 1 2\n4 1 1 0\n1\n2\n0\n0" }, "output": { "stdout": "3\n0\n6\n" } }, { "input": { "stdin": "3 4\n-1 4 0 1\n0 0 0 6\n8 0 1 -1\n1\n2\n0\n-1" }, "output": { "stdout": "6\n-6\n9\n" } }, { "input": { "stdin": "3 4\n-1 4 0 1\n1 0 0 6\n8 1 1 -1\n1\n2\n0\n-1" }, "output": { "stdout": "6\n-5\n11\n" } } ]
{ "tags": [], "title": "Matrix Vector Multiplication" }
{ "cpp": "#include<iostream>\nusing namespace std;\n\nint main()\n{\n\tint m, n, a[100][100], b[100];\n\tcin >> n >> m;\n\tfor (int i = 0;i < n;i++)\n\t{\n\t\tfor (int j = 0;j < m;j++)\n\t\t{\n\t\t\tcin >> a[i][j];\n\t\t}\n\t}\n\tfor (int i = 0;i < m;i++)\n\t{\n\t\tcin >> b[i];\n\t}\n\tfor (int i = 0;i < n;i++)\n\t{\n\t\tint sum = 0;\n\t\tfor (int j = 0;j < m;j++)\n\t\t{\n\t\t\tsum += a[i][j] * b[j];\n\t\t}\n\t\tcout << sum << endl;\n\t}\n}", "java": "import java.util.Scanner;\n\nclass Main {\n\n\tpublic static void main(String args[]){\t\n\t\tScanner scan = new Scanner(System.in);\n\n\t\tint m, n;\n\t\tint a1, a2, a3, a4;\n\t\tint c;\n\t\tint a[][];\n\t\tint b[];\n\t\tint s[];\n\t\t\n\t\tn = scan.nextInt();\n\t\tm = scan.nextInt();\n\t\ta = new int[n][m];\n\t\tb = new int[m];\n\t\ts = new int[n];\n\t\t\n\t\tfor(int i = 0; i < n; i++){\n\t\t\tfor(int j = 0; j < m; j++){\n\t\t\t\ta1 = scan.nextInt();\n\t\t\t\ta[i][j] = a1;\n\t\t\t}\n\t\t}\n\t\tfor(int k = 0; k < m;k++){\n\t\t\tc = scan.nextInt();\n\t\t\tb[k] = c;\n\t\t}\n\t\t\n\t\tfor(int i = 0; i < n ;i++){\n\t\t\tfor(int j = 0; j < m; j++){\n\t\t\t\ts[i] += a[i][j] * b[j];\n\t\t\t}\n\t\t\tSystem.out.println(s[i]);\n\t\t}\n\t\t\n\t\t\t\n\t}\n}\t", "python": "n, m = map(int, tuple(input().split(' ')))\na = [[int(s) for s in input().split(' ')] for _ in range(n)]\nb = [int(input()) for i in range(m)]\nfor i in range(n):\n\tci = 0\n\tfor j in range(m): ci += a[i][j] * b[j]\n\tprint(ci)\n" }
CodeChef/arithm
Chef's encounters with sweets continue with this problem! This time, he wants to distribute chocolates to his N students sitting on a long bench. The students are ordered according to the scores they got from the last exam. Chef wants to give more chocolates to the higher-scoring students. He also has a few more restrictions. Here are all the restrictions: Every student must get at least one chocolate bar. If i < j, then the i^th student gets strictly fewer chocolate bars than the j^th student. The difference between the number of chocolate bars of any two adjacent students must be the same. Chef has exactly C chocolate bars, and he doesn't want leftovers so every chocolate bar must be given to some student. Is it possible for Chef to finish this task? Input The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. Each test case consists of a single line containing two space separated integers N and C. Output For each test case, output a single line containing either “Yes” or “No” (without quotes), denoting whether Chef can accomplish the task or not. Constraints 1 ≤ T ≤ 10^5 1 ≤ N ≤ 10^9 1 ≤ C ≤ 10^18 Example Input: 2 4 24 2 2 Output: Yes No Explanation Example case 1. In this case, Chef can accomplish the task by giving 3, 5, 7 and 9 chocolate bars to the students. Example case 2. There are 2 students. The first one must get at least 1 chocolate bar. The second one must get strictly more than that, so he/she must get at least 2 chocolate bars. Thus, Chef needs at least 3 chocolate bars. But he only has 2, so the task is impossible.
[ { "input": { "stdin": "2\n4 24\n2 2" }, "output": { "stdout": "Yes\nNo" } } ]
{ "tags": [], "title": "arithm" }
{ "cpp": null, "java": null, "python": "t=input()\nwhile t!=0:\n n,c=raw_input().split(' ')\n n=int(n)\n c=int(c)\n s=0\n flag=0\n d=1\n first=0\n last=0\n while d<=2:\n first=(2*c-n*(n-1)*d)/(2*n)\n if first<1:\n flag=0\n break\n \n last=first+(n-1)*d\n s=n*(first + last)/2\n \n if s==c:\n flag=1\n break\n \n d=d+1\n \n if flag==0:\n print \"No\"\n \n else:\n print \"Yes\"\n\n t=t-1" }
CodeChef/clco03
Arush was not always poor at Mathematics but his recent performances had not been that good and he had lost his confidence. Now his elder brother was determined to bring back his confidence back in Mathematics. So he made a tricky question and made sure that Arush would be able to do solve it. The factorial of a non-negative integer n, denoted by n! , is the product of all positive integers less than or equal to n. n! = n * (n-1) * (n-2) * ...... * 1 Arush’s elder brother so defined a function F(x) for positive integer x as the product of factorials of its constituting digits. For example, F(125) = 1! * 2! * 5!. You are given a number N that contains d digits and contains at least one digit larger than 1. The problem is to find maximum positive number M which should contain neither the digit 0 nor the digit 1 and also F(M) = F(N). The number N may possibly start with leading zeroes. Help Arush to bring his confidence back.   Input The first line of input contains T, the number of testcases. The first line contains an integer d, number of digits in N. Next line contains d digits of N.   Output Output the maximum possible integer M that satisfies the above conditions.   Constraints Should contain all the constraints on the input data that you may have. Format it like: 1 ≤ T ≤ 50 1 ≤ d ≤ 15   Example Input: 2 1 6 3 006 Output: 53 53   Explanation Example case 1. d = 1, N = 6. Now F(6) = 6! = 720 and F(53) = 5! * 3! = 120 * 6 = 720.
[ { "input": { "stdin": "2\n1\n6\n3\n006" }, "output": { "stdout": "53\n53" } } ]
{ "tags": [], "title": "clco03" }
{ "cpp": null, "java": null, "python": "t=input()\nfor x in range(t):\n\tl=input()\n\tr=raw_input()\n\ts=''\n\tfor i in range(l):\n#\t\tif i==0 or i==1:\n#\t\t\tcontinue\n\t\tif r[i]=='2' or r[i]=='3' or r[i]=='5' or r[i]=='7':\n\t\t\ts=s+r[i]\n\t\telif r[i]=='4':\n\t\t\ts=s+'322'\n\t\telif r[i]=='6':\n\t\t\ts+='35'\n\t\telif r[i]=='8':\n\t\t\ts+='2227'\n\t\telif r[i]=='9':\n\t\t\ts+='7332'\n\ts=sorted(s)\n\tk=''.join(s)\n\tprint k[::-1]" }
CodeChef/fctrl2
A tutorial for this problem is now available on our blog. Click here to read it. You are asked to calculate factorials of some small positive integers. Input An integer t, 1 ≤ t ≤ 100, denoting the number of testcases, followed by t lines, each containing a single integer n, 1 ≤ n ≤ 100. Output For each integer n given at input, display a line with the value of n! Example Sample input: 4 1 2 5 3 Sample output: 1 2 120 6
[ { "input": { "stdin": "4\n1\n2\n5\n3" }, "output": { "stdout": "1\n2\n120\n6\n" } }, { "input": { "stdin": "4\n2\n2\n6\n4" }, "output": { "stdout": "2\n2\n720\n24\n" } }, { "input": { "stdin": "4\n1\n2\n5\n6" }, "output": { "stdout": "1\n2\n120\n720\n" } }, { "input": { "stdin": "4\n2\n2\n8\n6" }, "output": { "stdout": "2\n2\n40320\n720\n" } }, { "input": { "stdin": "4\n5\n3\n10\n15" }, "output": { "stdout": "120\n6\n3628800\n1307674368000\n" } }, { "input": { "stdin": "4\n1\n4\n2\n4" }, "output": { "stdout": "1\n24\n2\n24\n" } }, { "input": { "stdin": "4\n3\n2\n4\n4" }, "output": { "stdout": "6\n2\n24\n24\n" } }, { "input": { "stdin": "4\n1\n2\n2\n6" }, "output": { "stdout": "1\n2\n2\n720\n" } }, { "input": { "stdin": "4\n2\n1\n1\n6" }, "output": { "stdout": "2\n1\n1\n720\n" } }, { "input": { "stdin": "4\n3\n2\n3\n4" }, "output": { "stdout": "6\n2\n6\n24\n" } }, { "input": { "stdin": "4\n3\n2\n2\n2" }, "output": { "stdout": "6\n2\n2\n2\n" } }, { "input": { "stdin": "4\n5\n2\n4\n29" }, "output": { "stdout": "120\n2\n24\n8841761993739701954543616000000\n" } }, { "input": { "stdin": "4\n2\n2\n3\n3" }, "output": { "stdout": "2\n2\n6\n6\n" } }, { "input": { "stdin": "4\n2\n2\n4\n3" }, "output": { "stdout": "2\n2\n24\n6\n" } }, { "input": { "stdin": "4\n2\n3\n4\n3" }, "output": { "stdout": "2\n6\n24\n6\n" } }, { "input": { "stdin": "4\n2\n2\n4\n9" }, "output": { "stdout": "2\n2\n24\n362880\n" } }, { "input": { "stdin": "4\n5\n2\n10\n15" }, "output": { "stdout": "120\n2\n3628800\n1307674368000\n" } }, { "input": { "stdin": "4\n2\n4\n5\n3" }, "output": { "stdout": "2\n24\n120\n6\n" } }, { "input": { "stdin": "4\n3\n2\n10\n15" }, "output": { "stdout": "6\n2\n3628800\n1307674368000\n" } }, { "input": { "stdin": "4\n5\n3\n4\n29" }, "output": { "stdout": "120\n6\n24\n8841761993739701954543616000000\n" } }, { "input": { "stdin": "4\n2\n3\n7\n3" }, "output": { "stdout": "2\n6\n5040\n6\n" } }, { "input": { "stdin": "4\n2\n1\n1\n4" }, "output": { "stdout": "2\n1\n1\n24\n" } }, { "input": { "stdin": "4\n2\n2\n5\n1" }, "output": { "stdout": "2\n2\n120\n1\n" } }, { "input": { "stdin": "4\n2\n2\n2\n2" }, "output": { "stdout": "2\n2\n2\n2\n" } }, { "input": { "stdin": "4\n1\n2\n6\n6" }, "output": { "stdout": "1\n2\n720\n720\n" } }, { "input": { "stdin": "4\n6\n3\n7\n8" }, "output": { "stdout": "720\n6\n5040\n40320\n" } }, { "input": { "stdin": "4\n1\n2\n4\n29" }, "output": { "stdout": "1\n2\n24\n8841761993739701954543616000000\n" } }, { "input": { "stdin": "4\n2\n8\n6\n3" }, "output": { "stdout": "2\n40320\n720\n6\n" } }, { "input": { "stdin": "4\n11\n3\n7\n8" }, "output": { "stdout": "39916800\n6\n5040\n40320\n" } }, { "input": { "stdin": "4\n2\n5\n5\n3" }, "output": { "stdout": "2\n120\n120\n6\n" } }, { "input": { "stdin": "4\n2\n1\n4\n9" }, "output": { "stdout": "2\n1\n24\n362880\n" } }, { "input": { "stdin": "4\n1\n3\n7\n2" }, "output": { "stdout": "1\n6\n5040\n2\n" } }, { "input": { "stdin": "4\n3\n2\n4\n15" }, "output": { "stdout": "6\n2\n24\n1307674368000\n" } }, { "input": { "stdin": "4\n3\n3\n7\n8" }, "output": { "stdout": "6\n6\n5040\n40320\n" } }, { "input": { "stdin": "4\n1\n1\n4\n3" }, "output": { "stdout": "1\n1\n24\n6\n" } }, { "input": { "stdin": "4\n1\n2\n2\n1" }, "output": { "stdout": "1\n2\n2\n1\n" } }, { "input": { "stdin": "4\n5\n3\n10\n29" }, "output": { "stdout": "120\n6\n3628800\n8841761993739701954543616000000\n" } }, { "input": { "stdin": "4\n2\n2\n1\n11" }, "output": { "stdout": "2\n2\n1\n39916800\n" } }, { "input": { "stdin": "4\n3\n2\n3\n3" }, "output": { "stdout": "6\n2\n6\n6\n" } }, { "input": { "stdin": "4\n5\n2\n8\n9" }, "output": { "stdout": "120\n2\n40320\n362880\n" } }, { "input": { "stdin": "4\n1\n4\n1\n11" }, "output": { "stdout": "1\n24\n1\n39916800\n" } }, { "input": { "stdin": "4\n2\n2\n3\n9" }, "output": { "stdout": "2\n2\n6\n362880\n" } }, { "input": { "stdin": "4\n3\n2\n4\n3" }, "output": { "stdout": "6\n2\n24\n6\n" } }, { "input": { "stdin": "4\n2\n2\n2\n3" }, "output": { "stdout": "2\n2\n2\n6\n" } }, { "input": { "stdin": "4\n2\n2\n6\n3" }, "output": { "stdout": "2\n2\n720\n6\n" } }, { "input": { "stdin": "4\n2\n4\n6\n3" }, "output": { "stdout": "2\n24\n720\n6\n" } }, { "input": { "stdin": "4\n2\n1\n2\n6" }, "output": { "stdout": "2\n1\n2\n720\n" } }, { "input": { "stdin": "4\n3\n2\n3\n2" }, "output": { "stdout": "6\n2\n6\n2\n" } }, { "input": { "stdin": "4\n2\n2\n5\n6" }, "output": { "stdout": "2\n2\n120\n720\n" } }, { "input": { "stdin": "4\n3\n3\n3\n3" }, "output": { "stdout": "6\n6\n6\n6\n" } } ]
{ "tags": [], "title": "fctrl2" }
{ "cpp": null, "java": null, "python": "t=input()\nfor j in range(0,t):\n n=input()\n x=1\n for i in range(0,n):\n x=x*n\n n=n-1\n print x" }
CodeChef/lebamboo
Problem Statement Little Elephant from Zoo of Lviv likes bamboo very much. He currently has n stems of bamboo, Hi - height of i-th stem of bamboo (0-based numeration). Today inspector Andrii from World Bamboo Association is visiting the plantation. He doesn't like current situation. He wants the height of i-th stem to be Di, for each i from 0 to n-1, inclusive. Little Elephant is going to buy some special substance. One bottle of such substance he can use to single stem of bamboo. After using substance for stem i, the height of i-th stem is decrased by 1 and the height of j-th stem is increased by 1 for each j not equal to i. Note that it is possible for some of the stems to have negative height, but after all transformations all stems should have positive height. Substance is very expensive. Help Little Elephant and find the minimal number of bottles of substance required for changing current plantation to one that inspector wants. If it's impossible, print -1. Input First line contain single integer T - the number of test cases. T test cases follow. First line of each test case contains single integer n - the number of stems in the plantation. Second line contains n integers separated by single space - starting plantation. Next line of each test case contains n integers - plantation that inspector Andrii requires. Output In T lines print T integers - the answers for the corresponding test cases. Constraints 1 <= T <= 50 1 <= n <= 50 1 <= Hi, Di <= 50 Example Input: 3 1 1 2 2 1 2 2 1 3 3 2 2 4 5 3 Output: -1 1 5
[ { "input": { "stdin": "3\n1\n1\n2\n2\n1 2\n2 1\n3\n3 2 2\n4 5 3" }, "output": { "stdout": "-1\n1\n5" } }, { "input": { "stdin": "3\n1\n2\n2\n2\n0 2\n-2 1\n1\n3 2 2\n5 3 3" }, "output": { "stdout": "0\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 1\n2 1\n1\n5 2 2\n6 5 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n-1\n3\n2\n1 2\n1 0\n1\n3 1 1\n2 3 5" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n0 2\n0 0\n1\n3 1 1\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n3\n1 2\n-1 1\n1\n3 1 1\n9 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n2 1\n1\n3 1 1\n7 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n0 1\n1\n3 2 2\n5 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n1 2\n0 1\n1\n3 1 1\n2 1 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n1\n0\n2\n0 0\n2 3\n3\n4 0 2\n4 4 12" }, "output": { "stdout": "-1\n-1\n14\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 1\n2 1\n1\n5 2 0\n6 0 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n0 1\n1\n5 2 2\n6 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n2\n0\n2\n0 1\n0 1\n1\n3 0 1\n4 5 3" }, "output": { "stdout": "2\n0\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n0 2\n0 2\n1\n1 1 1\n5 3 3" }, "output": { "stdout": "-1\n0\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n2 1\n1\n3 2 2\n6 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n0\n2\n2\n0 2\n2 0\n1\n3 2 2\n4 5 3" }, "output": { "stdout": "-1\n2\n-1\n" } }, { "input": { "stdin": "3\n1\n2\n2\n2\n2 2\n2 1\n1\n3 2 2\n4 5 3" }, "output": { "stdout": "0\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n2\n4\n0 0\n0 1\n1\n3 1 1\n5 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n1 1\n1\n3 1 1\n7 3 3" }, "output": { "stdout": "-1\n1\n-1\n" } }, { "input": { "stdin": "3\n0\n1\n3\n2\n0 2\n0 0\n1\n3 1 1\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n0\n2\n2\n0 2\n0 1\n1\n3 1 1\n5 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n2\n0\n2\n0 1\n3 1\n1\n3 0 1\n4 5 3" }, "output": { "stdout": "2\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n1 2\n0 0\n1\n1 1 1\n2 1 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n1 2\n0 0\n1\n3 1 1\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n1\n3\n0\n1 2\n0 1\n1\n3 0 1\n2 1 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n0\n2\n2\n0 2\n1 0\n1\n3 2 2\n4 5 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n2 1\n1\n5 2 2\n6 5 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n0\n2\n0 1\n3 1\n1\n3 0 1\n4 5 3" }, "output": { "stdout": "1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n-1\n3\n3\n1 2\n1 0\n1\n3 1 1\n2 3 5" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n0\n2\n2\n1 2\n0 0\n1\n1 1 1\n2 1 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n1\n3\n2\n0 2\n0 0\n1\n3 1 2\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n0\n2\n2\n0 2\n0 1\n1\n3 1 1\n1 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n3\n0 2\n-1 1\n1\n3 1 1\n9 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n1\n3\n0\n1 2\n0 1\n1\n3 1 1\n2 1 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n2 1\n1\n3 2 2\n4 5 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n3\n0\n0 1\n2 2\n1\n12 2 1\n11 1 2" }, "output": { "stdout": "-1\n-1\n1\n" } }, { "input": { "stdin": "3\n0\n1\n3\n0\n1 2\n0 1\n1\n3 -1 1\n2 1 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n2 2\n0 1\n0\n3 1 1\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n1 2\n1 0\n1\n3 1 1\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n1 2\n2 0\n2\n3 2 2\n4 5 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n0 1\n1\n3 1 1\n7 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n-1 1\n1\n3 2 2\n5 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n2 1\n1\n3 2 2\n6 5 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n1 2\n0 1\n1\n3 1 1\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n1\n2\n-1 1\n0 0\n1\n3 1 2\n2 1 2" }, "output": { "stdout": "0\n1\n1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n0 1\n1\n3 1 2\n5 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n1\n2\n2\n0 2\n0 1\n1\n3 2 2\n6 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n2 2\n0 1\n1\n3 1 1\n2 3 3" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n0\n0\n3\n2\n2 2\n0 1\n1\n3 1 1\n5 3 0" }, "output": { "stdout": "-1\n-1\n-1\n" } }, { "input": { "stdin": "3\n1\n0\n2\n2\n-1 2\n0 1\n1\n3 1 0\n10 3 3" }, "output": { "stdout": "-1\n1\n-1\n" } } ]
{ "tags": [], "title": "lebamboo" }
{ "cpp": null, "java": null, "python": "for t in xrange(int(raw_input())):\n n = int(raw_input())\n h = map(int, raw_input().split())\n d = map(int, raw_input().split())\n if (n != 2):\n if ((sum(d) - sum(h)) % abs(n-2) != 0):\n print -1\n else:\n s = (sum(d) - sum(h)) / (n-2)\n if (s < 0):\n print -1\n else:\n sm = 0\n for i in range(n):\n mi = s - (d[i] - h[i])\n if (mi % 2 != 0 or mi/2 < 0 or mi/2 > s):\n print -1\n break\n sm += mi/2\n else:\n if (sm == s):\n print s\n else:\n print -1\n else:\n if (h[0]+h[1] != d[0]+d[1]):\n print -1\n else:\n print abs(h[0]-d[0])" }
CodeChef/plgrm
For Turbo C++ Users : Read the following document before attempting the question : Problem Description N-Boy is very eccentric when it comes to strings. These days, he spends most of his time studying palindromes and pangrams (for his IP assignment at IIITD). For those of you who don’t know, a palindrome is a word or a statement which can be read the same way, forward or backward, and a pangram is a word or a statement containing all letters of the English alphabet. Now, he is given a set of strings, and he wants to segregate them into palindromes, pangrams and palingrams, which are palindromic pangrams. Unfortunately, he is unable to do so, and has asked you for help. Input The first line consists of a single integer T, denoting the number of test cases. Each test case consists of a string S of lowercase English characters.  Output For each test case, output a single line containing a string(without quotes) as follows: If the string is only a palindrome, print ‘palindrome’. If the string is only a pangram, print ‘pangram’. If it is a palingram, print ‘palingram’. Else, print ‘none’. Constraints 1 ≤ T ≤ 1000 1 ≤ |S| ≤ 1000   Example Input: 3 abba abcdefghijklmnopqrstuvwxyz qwerty Output: palindrome pangram none
[ { "input": { "stdin": "3\nabba\nabcdefghijklmnopqrstuvwxyz\nqwerty" }, "output": { "stdout": "palindrome\npangram\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghiyklmnopqrsttvxxjz\nztrewq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabab\ngbcdeaghijklmnopqrstuvxxyz\nztrfxq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nbaba\ngbcxeaghijklmnopqrstuvdxyz\nfwqtrz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabaa\nzjxxvttsrqponmlkyihgaedcbg\nqwrety" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaca\nzzxxvutsrqponnlgjihkaedcbg\nztrewq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabba\nabcdefghijklmnopqrstuvwxyz\nqweqty" }, "output": { "stdout": "palindrome\npangram\nnone\n" } }, { "input": { "stdin": "3\nabba\ngbcdeaghijklmnopqrstuvwxyz\npfwytr" }, "output": { "stdout": "palindrome\nnone\nnone\n" } }, { "input": { "stdin": "3\nbaca\ngbcdeaghijklmnopqrstuvxxyz\nqwertz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaac\ngbcdaegiijklmnopqrtsuvwxyz\nxwudrp" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabab\nglcxeaghijblmnopqrstuvdxyz\nfwqssz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nbaaa\ngbcdeaghijklmnopqrstuvwxyz\npweztr" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabba\ngbcdeaghijklmnopqrstuvwxyz\nqwerty" }, "output": { "stdout": "palindrome\nnone\nnone\n" } }, { "input": { "stdin": "3\nbaba\ngbcdeaghijklmnopqrstuvxxyz\nfwqtrz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabaa\ngbcdeaghiyklmnopqrsttvxxjz\nyterwq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghijklmnopqrstuvwxyz\nytrdwq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghiyklmnopqrsttvxxjz\nyterwq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghijklmnopqrstuvwxyz\nztrdwq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaglijkhmnopqrstuvwxyz\nrtxwfo" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nbaaa\ngbcdeaghijklmnopqrstuvwxyz\npwertz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nacab\nzgxwvupsrqtohmlkjinyaedcbf\ntyrqwe" }, "output": { "stdout": "none\npangram\nnone\n" } }, { "input": { "stdin": "3\nbaca\ngbcdeakhijglmnopqrstuvxxzz\nztrewq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghiyklmnopqrsttvxxjz\nqwretz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghijklmnopqrstuvwxyz\nqwertz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nbaba\ngbcdeaghijklmnopqrstuvxxyz\nfwqrtz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nbaba\ngbcdeaghijklmnopqrstuvxxyz\nztrewq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdaeghijklmnopqrstuvwxyz\nytrdwq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nacab\nzgxwvupsrqtohmlkjinyaedcbf\newqryt" }, "output": { "stdout": "none\npangram\nnone\n" } }, { "input": { "stdin": "3\nbaca\nfbcdeaynijklmhopqrstuvwxgz\newqrty" }, "output": { "stdout": "none\npangram\nnone\n" } }, { "input": { "stdin": "3\nabba\ngbcdeaghijklmnopqrstuvwxyz\nytrwep" }, "output": { "stdout": "palindrome\nnone\nnone\n" } }, { "input": { "stdin": "3\nabba\ngbcdeaghijklmnopqrstuvwxyz\nrtywep" }, "output": { "stdout": "palindrome\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghijklmnopqrstuvxxyz\nztrewq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabaa\nzjxxvttsrqponmlkyihgaedcbg\nqwrtey" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabba\ngbcdeaghijklmnopqrstuvwxyz\npewytr" }, "output": { "stdout": "palindrome\nnone\nnone\n" } }, { "input": { "stdin": "3\nabba\nfbcdeayhijklmnopqrstuvwxgz\nqwerty" }, "output": { "stdout": "palindrome\npangram\nnone\n" } }, { "input": { "stdin": "3\ncaaa\ngbcdaeghijklmnopqrtsuvwxyz\nprduwx" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabab\nzgxwvupsrqtohmlkjinyaedcbf\ntyrqwe" }, "output": { "stdout": "none\npangram\nnone\n" } }, { "input": { "stdin": "3\nabab\ngbcdeaghijklmnopqrstuvxxyz\nztrqwf" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nacaa\nzjxxvttsrqponmlkyihgaedcbg\nyetrwq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghiyklmnopqrsttvxxjz\nzterwq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabaa\ngbcdeaghiyklmnopqrsttvxxjz\nqwrety" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\naaba\ngbcdeaghijklmnopqrstuvwxyz\nqwerty" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nabab\ngbcxeaghijklmnopqrstuvdxyz\nfwqsrz" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nacab\nfbcdeaynijklmhotqrspuvwxgz\newqryt" }, "output": { "stdout": "none\npangram\nnone\n" } }, { "input": { "stdin": "3\naaca\ngbcdeakhijglmnopqrstuvxxzz\nztrewq" }, "output": { "stdout": "none\nnone\nnone\n" } }, { "input": { "stdin": "3\nacab\nfbcdeaynijklmhotqrspuvwxgz\newqrty" }, "output": { "stdout": "none\npangram\nnone\n" } }, { "input": { "stdin": "3\nabba\ngbcdeaghiyklmnopqrsttvxxjz\nytfrwq" }, "output": { "stdout": "palindrome\nnone\nnone\n" } }, { "input": { "stdin": "3\nabba\nzyxwvutsrqponmlkjihgfedcba\nqveqty" }, "output": { "stdout": "palindrome\npangram\nnone\n" } }, { "input": { "stdin": "3\nabab\nfbcdeaynijklmhopqrstuvwxgz\newqrty" }, "output": { "stdout": "none\npangram\nnone\n" } }, { "input": { "stdin": "3\nabba\nzyxwvutsrqponmlkjihgfedcba\nqweqty" }, "output": { "stdout": "palindrome\npangram\nnone\n" } } ]
{ "tags": [], "title": "plgrm" }
{ "cpp": null, "java": null, "python": "test = int(raw_input())\nwhile test>0 :\n\ts = raw_input()\n\tp = 1\n\tg = 1\n\tss = s[::-1]\n\tif s != ss :\n\t\tp = 0\n\tli = 'abcdefghijklmnopqrstuvwxyz'\n\tfor i in li:\n\t\tif i not in s:\n\t\t\tg = 0\n\t\t\tbreak\n\tif p == 1 and g==1:\n\t\tprint('palingram')\n\telif p==1 and g==0:\n\t\tprint('palindrome')\n\telif p==0and g==1:\n\t\tprint('pangram')\n\telse:\n\t\tprint('none')\n\ttest-=1" }
CodeChef/sub_perm
A factory called 'IP Labs Pvt. Ltd.' has produced some material, which is in the form of blocks. Each block is labeled by an alphanumeric character. You've been recently hired as Packaging Manager, and your job is to rearrange the huge lot of manufactured blocks and then extract out the useful blocks from it which can then be packaged and sold to the market. Your friend Mr. M also works at the same company as a Business Analyst, and is interested to find out how much profit the company will be able to make. He queries you about the maximum number of packets the company will be able to sell, given the heap of manufactured blocks and pattern of useful blocks. Can you help him by providing him the required number? The manufactured blocks will be represented by string A, and the useful blocks will be represented by string B. String A may be rearranged/permuted in any order, however string B (the useful order) can not be tampered with. . (Hint: Use dictionaries)   Input The first line of input consists of T, the number of test cases. The first line of each test case contains string A and second line contains string B   Output For each test case, output a single number N denoting the maximum number of times string B can be a non-overlapping substring of some permutation of string A.   Constraints 1 ≤ T ≤ 100 1 ≤ |A| ≤ 100000, where |A| denotes the length of A 1 ≤ |B| ≤ 100000, where |B| denotes the length of B A and B will be alpha-numeric strings   Example Input: 4 areyouafoobarmember barfoo fofoforabrabbbbbbfoooooooaaa foobar thisisiplab si ababa aa Output: 1 2 2 1   Explanation Example case 1. The heap of manufactured blocks is "areyouafoobarmember" and the pattern of useful blocks is "barfoo". As a Package Manager, you'll first re-arrange the string A to "areyouabarfoomember" (there are of course other permutations also possible) and then extract out "barfoo". After extracting out "barfoo", you'll be left with "areyouamember", and no further packets can be packed. Since only 1 packet could be extracted out, the output is 1 Example case 3. The heap of manufactured blocks (string A) is "thisisiplab" and you're looking to sell out packets containing "si". For this particular case, you need not re-arrange the string, and extract out "si" twice. You'll be left with "thiplab" and no further packets can be extracted, hence the output is 2
[ { "input": { "stdin": "4\nareyouafoobarmember\nbarfoo\nfofoforabrabbbbbbfoooooooaaa\nfoobar\nthisisiplab\nsi\nababa\naa" }, "output": { "stdout": "1\n2\n2\n1" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noobf`r\nbamphsisiht\nit\nbccaa\nb`" }, "output": { "stdout": "0\n0\n1\n0\n" } }, { "input": { "stdin": "4\naeeyouafoobarmrmber\noargbo\ngofoforabrabbbbbbfooooonoaaa\noofbar\nthisisiplab\nis\nababa\nba" }, "output": { "stdout": "0\n2\n2\n2\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorabrabbbbbbfooooonoaaa\nrfaboo\nthisishplaa\nit\nabbba\naa" }, "output": { "stdout": "0\n2\n1\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnbgrao\naaaonooooofbbbbbbarbbroeofog\noobfar\nbamphsisiht\nit\nbbbba\nba" }, "output": { "stdout": "0\n2\n1\n1\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\nnogsba\ngofoebrbaraobbbbbfooooonoaab\noocg`q\nbampjshsith\nkt\nccbaa\ncb" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\nabsnog\ngofoebrbaraobbbbbfooooonoaab\nq`hcoo\nbampkshsitg\nku\naebac\ncb" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naderouagooabrlsmbey\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noocf`q\nbampishsith\nkt\nccbaa\nac" }, "output": { "stdout": "0\n0\n0\n2\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\nabsnog\ngofoebrbaraobbbbbfooooonoaab\nq`hcoo\nbampjshsitg\nuk\naebac\ncb" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\ngonsba\ngofoebrbaraobbbbbfooooonoaab\nooch`q\nbampjshsith\nku\ncabda\ncb" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorabrabbbbbbfooooonoaaa\nreaboo\nbalphsisiht\nit\nabbba\naa" }, "output": { "stdout": "0\n1\n1\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nmbgrao\ngofoeorbbrabbbbbbfooooonoaaa\nrafboo\nbamphsisiht\nit\nbbbaa\nb`" }, "output": { "stdout": "1\n2\n1\n0\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\naaaonooooofbbbbbaarbbroeofog\nraeboo\nbamphsisiht\nit\nbbbba\nba" }, "output": { "stdout": "0\n1\n1\n1\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorabrabbbbbbfooooonoaaa\nreaboo\nthisishplab\nit\nabbba\naa" }, "output": { "stdout": "0\n1\n1\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnbgrao\ngofoebrbaraobbbbbfooooonoaab\noobf`r\nbamphsisiht\nti\nbbcaa\nb`" }, "output": { "stdout": "0\n0\n1\n0\n" } }, { "input": { "stdin": "4\naddrnuarooabglsmbey\naosnag\nbaaonooooofbbbgrobrabbbeofpb\nh`qooc\ngtishskpmab\nkt\nbebab\nbc" }, "output": { "stdout": "1\n0\n1\n0\n" } }, { "input": { "stdin": "4\naderouagooabrlsmbey\nnogsba\ngofoebrbaraobbbbbfooooonoaab\noocg`q\nbampishsith\nkt\nccbaa\nbc" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorbbraabbbbbfooooonoaaa\nraeboo\nbamphsisiht\nit\nbbbba\nba" }, "output": { "stdout": "0\n1\n1\n1\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\nnogsba\ngofoebrbaraobbbbbfooooonoaab\noocg`q\nbampjshsith\nkt\ncdbaa\nbc" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnbgrao\naaaonooooofbbbbbbarbbroeofog\nrafboo\nbamphsisiht\nit\nbbbba\nb`" }, "output": { "stdout": "0\n2\n1\n0\n" } }, { "input": { "stdin": "4\naeeyouafooabrmrmber\nobgrao\ngofoforabrabbbbbbfooooonoaaa\noobafr\nthisisiplab\nit\nababa\nba" }, "output": { "stdout": "0\n2\n1\n2\n" } }, { "input": { "stdin": "4\naderouagooabrlsmbey\nnogsba\ngofoebrbaraobbbbbfooooonoaab\noocf`q\nbampishsith\nkt\nccbaa\nac" }, "output": { "stdout": "0\n0\n0\n2\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnbgrao\ngofoebrbaraobbbbbfooooonoaab\noobf`r\nbamphsisiht\nit\nbbcaa\nb`" }, "output": { "stdout": "0\n0\n1\n0\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauordda\ngonsba\ngofoebrbaraobbbbbfooooonoaab\nq`hcoo\nbampkshsitg\nuk\naebac\ncc" }, "output": { "stdout": "0\n0\n0\n0\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noocf`q\nbampishsith\njt\nccbaa\nac" }, "output": { "stdout": "0\n0\n0\n2\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnbgrao\ngofoebrbaraobbbbbfooooonoaab\noobf`r\nbamphsisiht\nti\nbbbaa\nb`" }, "output": { "stdout": "0\n0\n1\n0\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauordda\ngbnsoa\ngofoebrbaraobbbbbfooooonoaab\nq`hcoo\nbampkshsitg\nuk\naebac\ncc" }, "output": { "stdout": "0\n0\n0\n0\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorabrabbbbbbfooooonoaaa\nrfaboo\nthisishplab\nit\nabbba\naa" }, "output": { "stdout": "0\n2\n1\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noobf`r\nbamphshsiht\nit\nbccaa\nc`" }, "output": { "stdout": "0\n0\n1\n0\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nobgrao\ngofoeorabrabbbbbbfooooonoaaa\nrfaboo\nthisishplaa\nit\nabbba\naa" }, "output": { "stdout": "0\n2\n1\n1\n" } }, { "input": { "stdin": "4\nareyouafoobarmember\nbargoo\ngofoforabrabbbbbbfooooonoaaa\noofbar\nthisisiplab\nis\nababa\nab" }, "output": { "stdout": "0\n2\n2\n2\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noocf`q\nbampishsith\njt\nccbaa\nca" }, "output": { "stdout": "0\n0\n0\n2\n" } }, { "input": { "stdin": "4\naeeyouafoobarmrmber\nobgrao\ngofoforabrabbbbbbfooooonoaaa\noobafr\nthisisiplab\nit\nababa\nba" }, "output": { "stdout": "0\n2\n1\n2\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\ngonsba\ngofoebrbaraobbbbbfooooonoaab\nq`hcoo\nbampjshsith\nku\ncabda\ncb" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naderouagooabrlsmbey\nnogsba\ngofoebrbaraobbbbbfooooonoaab\noocf`q\nbampishsith\nkt\nccbaa\nbc" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorabrabbbbbbfooooonoaaa\nraeboo\nbamphsisiht\nit\nbbbba\nba" }, "output": { "stdout": "0\n1\n1\n1\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorabrabbbbbbfooooonoaaa\nraeboo\nbamphsisiht\nit\nbbbba\naa" }, "output": { "stdout": "0\n1\n1\n0\n" } }, { "input": { "stdin": "4\naeeyouafoobarmrmber\noargbo\ngofoforabrabbbbbbfooooonoaaa\noofbar\nthisisiplab\nit\nababa\nba" }, "output": { "stdout": "0\n2\n1\n2\n" } }, { "input": { "stdin": "4\naeeyouafooabrmrmber\nobgrao\ngofoeorabrabbbbbbfooooonoaaa\noobafr\nthisisiplaa\nit\nabbba\nba" }, "output": { "stdout": "0\n2\n1\n2\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\ngonsba\ngofoebrbaraobbbbbfooooonoaab\nq`hcoo\nbampjshsith\nku\ncabea\ncb" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouafooabrmsmber\nobgrao\ngofoeorabrabbbbbbfooooonoaaa\nrfaboo\nthisishplaa\nit\nabbba\naa" }, "output": { "stdout": "0\n2\n1\n1\n" } }, { "input": { "stdin": "4\nadeyouagooabrlsmber\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noocf`q\nbampishsith\nkt\nccbaa\nac" }, "output": { "stdout": "0\n0\n0\n2\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\ngonsba\ngofoebrbaraobbbbbfooooonoaab\nooch`q\nbampjshsith\nku\ncabda\nbc" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouafooabrlsmber\nnbgrao\ngofoeorabrabbbbbbfooooonoaaa\nraeboo\nbamphsisiht\nit\nabbba\naa" }, "output": { "stdout": "0\n1\n1\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnograb\ngofoebrbaraobbbbbfooooonoaab\noobf`r\nbamphsisiht\nit\nbbcaa\nb`" }, "output": { "stdout": "0\n0\n1\n0\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauoreda\nnogsba\ngofoebrbaraobbbbbfooooonoaab\noocg`q\nbampjshsith\nkt\nccbaa\nbc" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nmbgrao\ngofoeorbbrabbbbbbfooooonoaaa\nrafboo\nbamphsisiht\nit\nbbbba\nb`" }, "output": { "stdout": "1\n2\n1\n0\n" } }, { "input": { "stdin": "4\nyebmslrbaoogauordda\nabsnog\ngofoebrbaraobbbbbfooooonoaab\nq`hcoo\nbampkshsitg\nku\naebac\ncb" }, "output": { "stdout": "0\n0\n0\n1\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noocf`r\nbamphshsiht\nit\nbccaa\nc`" }, "output": { "stdout": "0\n0\n1\n0\n" } }, { "input": { "stdin": "4\naeeyouagooabrlsmber\nnogsab\ngofoebrbaraobbbbbfooooonoaab\noocf`q\nbampishsiht\nit\nbccaa\nca" }, "output": { "stdout": "0\n0\n1\n2\n" } } ]
{ "tags": [], "title": "sub_perm" }
{ "cpp": null, "java": null, "python": "import sys \nt=int(input())\nwhile t>0:\n\tA=list(raw_input())\n\tB=list(raw_input())\n\tC=list(set(B))\n\tD=[]\n\tF=[]\n\tArr=[]\n\tfor i in xrange(len(C)):\n\t\tx=(A.count(C[i]))/(B.count(C[i]))\n\t\tArr.append(x)\n\tprint min(Arr)\n\tt=t-1" }
Codeforces/1009/G
# Allowed Letters Polycarp has just launched his new startup idea. The niche is pretty free and the key vector of development sounds really promising, so he easily found himself some investors ready to sponsor the company. However, he is yet to name the startup! Actually, Polycarp has already came up with the name but some improvement to it will never hurt. So now he wants to swap letters at some positions in it to obtain the better name. It isn't necessary for letters to be adjacent. In addition, each of the investors has chosen some index in the name and selected a set of letters that can go there. Indices chosen by different investors are pairwise distinct. If some indices aren't chosen by any investor then any letter can go there. Finally, Polycarp is sure that the smallest lexicographically name is the best. (Like why do you think Google decided to become Alphabet?) More formally, you are given a string consisting of lowercase Latin letters from "a" to "f". You can swap letters at any positions arbitrary number of times (zero swaps is also possible). What is the smallest lexicographically name you can obtain such that the letter at every position is among the allowed letters? If Polycarp can't produce any valid name then print "Impossible". Input The first line is the string s (1 ≤ |s| ≤ 10^5) — the name Polycarp has came up with. The string consists only of lowercase Latin letters from "a" to "f". The second line contains a single integer m (0 ≤ m ≤ |s|) — the number of investors. The i-th of the next m lines contain an integer number pos_i and a non-empty string of allowed characters for pos_i (1 ≤ pos_i ≤ |s|). Each string contains pairwise distinct letters from "a" to "f". pos_1, pos_2, ..., pos_m are pairwise distinct. If any position of the string doesn't appear in the investors demands then any letter can go in this position. Output If Polycarp can't produce any valid name then print "Impossible". Otherwise print the smallest lexicographically name Polycarp can obtain by swapping letters in string s such that the letter at every position is among the allowed ones. Examples Input bedefead 5 2 e 1 dc 5 b 7 ef 6 ef Output deadbeef Input abacaba 0 Output aaaabbc Input fc 2 1 cfab 2 f Output cf
[ { "input": { "stdin": "abacaba\n0\n" }, "output": { "stdout": "aaaabbc" } }, { "input": { "stdin": "bedefead\n5\n2 e\n1 dc\n5 b\n7 ef\n6 ef\n" }, "output": { "stdout": "deadbeef" } }, { "input": { "stdin": "fc\n2\n1 cfab\n2 f\n" }, "output": { "stdout": "cf" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 c\n1 dbc\n4 afcbde\n3 ef\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bfb\n3\n1 f\n3 acdef\n2 cdefab\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bbcbbc\n6\n1 c\n2 c\n3 b\n4 ab\n5 ab\n6 ab\n" }, "output": { "stdout": "ccbbbb" } }, { "input": { "stdin": "ded\n1\n2 aedc\n" }, "output": { "stdout": "dde" } }, { "input": { "stdin": "effa\n3\n3 ca\n2 bd\n4 abfdce\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "cdff\n1\n2 ae\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "a\n1\n1 b\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "cefe\n2\n4 ca\n1 da\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "dfb\n2\n1 c\n3 cae\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "abcdefffffffffffffff\n20\n1 acf\n2 cdef\n3 ef\n4 def\n5 adef\n6 acdef\n7 bdef\n8 abdf\n9 bcdf\n10 abf\n11 abf\n12 bcdf\n13 df\n14 df\n15 abcdf\n16 abcde\n17 abcde\n18 abcde\n19 abcde\n20 abcde\n" }, "output": { "stdout": "fffffffffffffffabcde" } }, { "input": { "stdin": "fce\n3\n3 abdecf\n1 efdcba\n2 ac\n" }, "output": { "stdout": "ecf" } }, { "input": { "stdin": "abcdefffffffffffffff\n5\n20 abcde\n19 abcde\n18 abcde\n17 abcde\n16 abcde\n" }, "output": { "stdout": "fffffffffffffffabcde" } }, { "input": { "stdin": "bdc\n3\n1 f\n3 fdacb\n2 eb\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "cdccc\n5\n2 fae\n1 dabc\n4 dcfabe\n3 abc\n5 bdcafe\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bfd\n2\n2 aecf\n3 dfb\n" }, "output": { "stdout": "bfd" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 d\n1 dbc\n4 afcbde\n4 ef\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 c\n1 dbc\n4 afcbde\n4 ef\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bec\n3\n1 f\n3 fdacb\n2 eb\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 c\n1 dbc\n4 afcbde\n3 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bdd\n3\n1 f\n3 fdacb\n2 be\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "ffeaa\n5\n2 afbdce\n5 d\n1 dbc\n4 afcbde\n3 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bedefead\n5\n2 d\n1 dc\n8 b\n7 ef\n6 ef\n" }, "output": { "stdout": "ddaeeefb" } }, { "input": { "stdin": "fbe\n3\n3 abdecf\n1 abcdfe\n2 ac\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n4 d\n1 dbc\n4 bfcbde\n3 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bfd\n2\n2 aecf\n3 bfd\n" }, "output": { "stdout": "bfd" } }, { "input": { "stdin": "fbe\n3\n3 abdecf\n1 efdcba\n2 ac\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "abcdefefffffffffffff\n5\n20 abcde\n19 edcba\n18 abcde\n17 abcde\n16 abcde\n" }, "output": { "stdout": "affffffffffffffbcdee" } }, { "input": { "stdin": "aaeef\n5\n2 afbdce\n4 d\n1 dbc\n4 afcbde\n3 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 d\n2 dbc\n4 afcbde\n3 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "efec\n2\n4 ca\n1 ea\n" }, "output": { "stdout": "eefc" } }, { "input": { "stdin": "abcdefffffffffffffff\n5\n20 abcde\n19 abcde\n18 abcde\n1 abcde\n16 abcde\n" }, "output": { "stdout": "affffffffffffffbfcde" } }, { "input": { "stdin": "abcdefffffffffffffff\n5\n20 abcde\n19 edcba\n18 abcde\n17 abcde\n16 abcde\n" }, "output": { "stdout": "fffffffffffffffabcde" } }, { "input": { "stdin": "cdccc\n5\n2 fae\n1 cabc\n4 dcfabe\n3 abc\n5 bdcaff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "ded\n1\n2 ceda\n" }, "output": { "stdout": "dde" } }, { "input": { "stdin": "bedefead\n5\n2 e\n1 dc\n8 b\n7 ef\n6 ef\n" }, "output": { "stdout": "deadeefb" } }, { "input": { "stdin": "aaacaba\n0\n" }, "output": { "stdout": "aaaaabc" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 c\n2 dbc\n4 afcbde\n3 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bfd\n2\n2 eacf\n3 dfb\n" }, "output": { "stdout": "bfd" } }, { "input": { "stdin": "bfb\n3\n1 f\n3 acdee\n2 cdefab\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 c\n1 dbc\n4 afcbde\n4 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "aaeff\n5\n3 afbdce\n4 d\n1 dbc\n4 bfcbde\n3 ff\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "aaeff\n5\n2 afbdce\n5 c\n1 dbc\n4 efcbda\n3 fe\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bec\n3\n1 e\n3 feacb\n2 eb\n" }, "output": { "stdout": "ebc" } }, { "input": { "stdin": "cdccc\n5\n2 fae\n1 cabc\n4 dcfabe\n3 abc\n5 bdcafe\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "dfb\n2\n1 d\n3 cae\n" }, "output": { "stdout": "Impossible\n" } }, { "input": { "stdin": "bec\n3\n1 e\n3 fdacb\n2 eb\n" }, "output": { "stdout": "ebc" } }, { "input": { "stdin": "fbe\n3\n3 abdecf\n1 abcdfe\n2 bc\n" }, "output": { "stdout": "ebf" } } ]
{ "tags": [ "bitmasks", "flows", "graph matchings", "graphs", "greedy" ], "title": "Allowed Letters" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int maxn = 100010;\ntemplate <typename Tp>\nint getmin(Tp &x, Tp y) {\n return y < x ? x = y, 1 : 0;\n}\ntemplate <typename Tp>\nint getmax(Tp &x, Tp y) {\n return y > x ? x = y, 1 : 0;\n}\ntemplate <typename Tp>\nvoid read(Tp &x) {\n x = 0;\n char ch = getchar();\n int f = 0;\n while (ch != '-' && (ch < '0' || ch > '9')) ch = getchar();\n if (ch == '-') ch = getchar(), f = 1;\n while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar();\n if (f) x = -x;\n}\nint n, m, st[maxn], f[maxn][64], now[64];\nchar s[maxn], ans[maxn];\nvoid input() {\n int p, tmp;\n char t[10];\n scanf(\"%s\", s + 1);\n n = strlen(s + 1);\n read(m);\n for (int i = 1; i <= n; i++)\n for (int j = 1; j < 64; j++)\n if (j & (1 << (s[i] - 'a'))) ++now[j];\n for (int i = 1; i <= m; i++) {\n read(p);\n scanf(\"%s\", t + 1);\n tmp = 0;\n for (int j = 1; t[j]; j++) tmp |= (1 << (t[j] - 'a'));\n st[p] = tmp;\n }\n for (int i = n; i; i--) {\n if (!st[i]) st[i] = 63;\n for (int j = 1; j < 64; j++) {\n f[i][j] = f[i + 1][j];\n if (j & st[i]) ++f[i][j];\n }\n }\n}\nint main() {\n input();\n for (int i = 1; i <= n; i++) {\n for (int j = 0, fg; j < 6; j++)\n if (st[i] & (1 << j)) {\n fg = 1;\n for (int s = 1; s < 64; s++) {\n int tmp = now[s];\n if (s & (1 << j)) tmp--;\n if (f[i + 1][s] < tmp) {\n fg = 0;\n break;\n }\n }\n if (fg) {\n for (int s = 1; s < 64; s++)\n if (s & (1 << j)) --now[s];\n ans[i] = 'a' + j;\n break;\n }\n }\n if (!ans[i]) {\n puts(\"Impossible\");\n return 0;\n }\n }\n puts(ans + 1);\n return 0;\n}\n", "java": "import java.util.*;\nimport java.io.*;\npublic class G{\n static PrintWriter out;\n static InputReader in;\n public static void main(String args[]){\n out = new PrintWriter(System.out);\n in = new InputReader();\n new G();\n out.flush(); out.close();\n } \n G(){\n solve();\n }\n final int max = 200000;\n char ch[];\n int mask[], l , f[], fm[];\n int ans[];\n void solve(){\n ch = in.next().trim().toCharArray();\n l = ch.length;\n mask = new int[l]; f = new int[6]; fm = new int[1 << 6];\n for(int i = 0; i < l; i++){\n f[ch[i] - 'a']++;\n }\n Arrays.fill(mask, (1 << 6) - 1);\n int m = in.nextInt();\n for(int i = 0; i < m; i++){\n int d = in.nextInt() - 1;\n mask[d] = 0;\n char s[] = in.next().trim().toCharArray();\n int l1 = s.length; \n for(int j = 0; j < l1; j++){\n mask[d] |= (1 << (s[j] - 'a'));\n }\n }\n\n for(int i = 0; i < l; i++){\n fm[mask[i]]++;\n }\n\n ans = new int[l];\n\n // S + 6 + 63 + T\n int N = 69, S = 0, T = N + 1;\n DinicMaxFlow maxf = new DinicMaxFlow(T + 1, S, T);\n\n for(int j = 1; j < (1 << 6); j++){\n maxf.addEdge(S, j, fm[j]);\n }\n\n for(int i = 0; i < 6; i++){\n maxf.addEdge(i + 64, T, f[i]);\n }\n \n for(int i = 0; i < 6; i++){\n for(int j = 1; j < (1 << 6); j++){\n if((j >> i) % 2 == 1){\n maxf.addEdge(j, i + 64, max);\n }\n }\n }\n\n maxf.convertToArray();\n if(maxf.maxFlow() != l){\n out.println(\"Impossible\"); return;\n }\n\n Edge ja[][] = maxf.ja;\n int pst[][] = maxf.pst;\n for(int i = 0; i < l; i++){\n int msk = mask[i];\n for(Edge e : ja[msk]){\n if(e.F == S || ja[T][pst[T][e.F]].S == 0)continue;\n if(ja[e.F][pst[e.F][msk]].S == 0){\n // System.out.println(msk + \" \" + e.F);\n res.clear();\n // S msk e.F T\n ja[msk][pst[msk][S]].S--;\n ja[T][pst[T][e.F]].S--;\n // ja[e.F][pst[e.F][msk]].S++;\n \n for(Edge e1 : ja[msk]){\n if(e1.F == S)continue;\n if(ja[e1.F][pst[e1.F][msk]].S > 0){\n ja[e1.F][pst[e1.F][msk]].S--;\n ja[msk][pst[msk][e1.F]].S++;\n \n ja[T][pst[T][e1.F]].S--;\n ja[e1.F][pst[e1.F][T]].S++;\n\n res.add(new pair(e1.F, msk));\n res.add(new pair(T, e1.F));\n break;\n }\n }\n for(Edge e2 : ja[e.F]){\n if(e2.F == T)continue;\n if(ja[e.F][pst[e.F][e2.F]].S > 0){\n ja[e.F][pst[e.F][e2.F]].S--;\n ja[e2.F][pst[e2.F][e.F]].S++;\n\n ja[e2.F][pst[e2.F][S]].S--;\n ja[S][pst[S][e2.F]].S++;\n\n res.add(new pair(e.F, e2.F));\n res.add(new pair(e2.F, S));\n break;\n }\n }\n maxf.maxflow--;\n if(maxf.maxFlow() != l){\n ja[msk][pst[msk][S]].S++;\n ja[T][pst[T][e.F]].S++;\n // ja[e.F][pst[e.F][msk]].S--;\n for(pair p : res){\n ja[p.F][pst[p.F][p.S]].S++;\n ja[p.S][pst[p.S][p.F]].S--;\n }\n maxf.maxflow++;\n continue;\n }\n }else{\n // S msk e.F T\n ja[msk][pst[msk][S]].S--;\n ja[e.F][pst[e.F][msk]].S--;\n ja[T][pst[T][e.F]].S--;\n }\n ans[i] = e.F - 64;\n break;\n }\n }\n\n for(int i = 0; i < l; i++){\n out.print((char)(ans[i] + 'a'));\n }\n }\n ArrayList<pair> res = new ArrayList<>();\n class pair{\n int F, S;\n pair(int a, int b){\n F = a; S = b;\n }\n }\n class Edge{\n int F, S, T;\n Edge(int a, int b, int c){\n F = a; S = b; T = c;\n }\n }\n class DinicMaxFlow{\n final int max = Integer.MAX_VALUE;\n int N, S, T, maxflow;\n Edge ja[][];\n int pst[][];\n int queue[];\n int order[];\n ArrayList<Edge> al[];\n DinicMaxFlow(int nodes, int source, int sink){\n N = nodes; S = source; T = sink;\n al = new ArrayList[N];\n ja = new Edge[N][];\n pst = new int[N][N];\n order = new int[N];\n queue = new int[N];\n maxflow = 0;\n for(int i = 0; i < N; i++){\n al[i] = new ArrayList<>();\n }\n }\n void addEdge(int u, int v, int cap){\n // if(cap != 0 && cap != 200000)System.out.println(u + \" \" + v + \" \" + cap);\n int su = al[u].size(), sv = al[v].size();\n pst[u][v] = su; pst[v][u] = sv;\n al[u].add(new Edge(v, cap, sv));\n al[v].add(new Edge(u, 0, su));\n }\n void convertToArray(){\n for(int i = 0; i < N; i++){\n int sz = al[i].size();\n ja[i] = new Edge[sz];\n for(int j = 0; j < sz; j++){\n ja[i][j] = al[i].get(j);\n }\n al[i].clear();\n }\n }\n\n boolean bfs(){\n Arrays.fill(order, - 1);\n int end = 0, start = 0;\n queue[end++] = S;\n order[S] = 0; \n\n while(start != end){\n int u = queue[start++];\n for(Edge e : ja[u]){\n if(e.S == 0 || order[e.F] != -1)continue;\n order[e.F] = order[u] + 1;\n queue[end++] = e.F;\n }\n }\n return order[T] != -1;\n }\n int dfs(int u, int bf){\n if(u == T)return bf;\n for(Edge e : ja[u]){\n if(order[e.F] != order[u] + 1 || e.S == 0)continue;\n int sf = Math.min(bf, e.S);\n int ef = dfs(e.F, sf);\n if(ef == 0)continue;\n e.S -= ef;\n ja[e.F][e.T].S += ef; \n return ef;\n }\n return 0;\n }\n int maxFlow(){\n int flow;\n while(bfs()){\n while((flow = dfs(S, max)) != 0){\n maxflow += flow;\n }\n }\n return maxflow;\n }\n }\n class PushRelabel{\n class Edge{\n int u, cap, rid;\n Edge(int a, int b, int c){u = a; cap = b; rid = c;}\n }\n int N, S, T;\n ArrayList<Edge> al[];\n Edge ja[][];\n\n PushRelabel(int tot, int source, int sink){\n N = tot; S = source; T = sink;\n al = new ArrayList[N];\n ja = new Edge[N][];\n for(int i = 0; i < N; i++){\n al[i] = new ArrayList<>();\n }\n }\n void addEdge(int u, int v, int cap){\n int su = al[u].size() , sv = al[v].size();\n al[u].add(new Edge(v, cap, sv));\n al[v].add(new Edge(u, 0, su));\n }\n void convertToArray(){\n for(int i = 0; i < N; i++){\n int sz = al[i].size();\n ja[i] = new Edge[sz];\n for(int j = 0; j < sz; j++){\n ja[i][j] = al[i].get(j);\n }\n al[i].clear();\n }\n }\n int h[], ex[];\n boolean in[];\n ArrayDeque<Integer> ad=new ArrayDeque<>();\n int pr(){\n h=new int[N];\n ex=new int[N];\n in=new boolean[N];\n h[S]=N+1;\n for(Edge e:ja[S]){\n ex[e.u] += e.cap;\n e.cap = 0; ja[e.u][e.rid].cap = e.cap;\n h[e.u] = 1; in[e.u] = true;\n ad.addFirst(e.u);\n }\n while(!ad.isEmpty()){\n int u= ad.getFirst();\n int jump=10*N;\n for(Edge e:ja[u]){\n if(ex[u]==0)break;\n if(e.cap > 0){\n if(h[e.u]<h[u]){\n int flow=Math.min(ex[u],e.cap);\n e.cap -= flow; ja[e.u][e.rid].cap += flow;\n ex[u] -= flow; ex[e.u] += flow;\n if(e.u!=S&&e.u!=T&&!in[e.u]){\n ad.addLast(e.u);\n in[e.u]=true;\n }\n }else{\n jump=Math.min(jump,h[e.u]);\n }\n }\n }\n if(ex[u]==0){\n ad.pollFirst();in[u]=false;\n }else{\n h[u]=jump+1;\n }\n }\n return ex[T];\n }\n }\n\n public static class InputReader{\n BufferedReader br;\n StringTokenizer st;\n InputReader(){\n br = new BufferedReader(new InputStreamReader(System.in));\n }\n public int nextInt(){\n return Integer.parseInt(next());\n }\n public long nextLong(){\n return Long.parseLong(next());\n }\n public double nextDouble(){\n return Double.parseDouble(next());\n }\n public String next(){\n while(st == null || !st.hasMoreTokens()){\n try{\n st = new StringTokenizer(br.readLine());\n }catch(IOException e){}\n }\n return st.nextToken();\n }\n }\n}\n ", "python": null }
Codeforces/1032/D
# Barcelonian Distance In this problem we consider a very simplified model of Barcelona city. Barcelona can be represented as a plane with streets of kind x = c and y = c for every integer c (that is, the rectangular grid). However, there is a detail which makes Barcelona different from Manhattan. There is an avenue called Avinguda Diagonal which can be represented as a the set of points (x, y) for which ax + by + c = 0. One can walk along streets, including the avenue. You are given two integer points A and B somewhere in Barcelona. Find the minimal possible distance one needs to travel to get to B from A. Input The first line contains three integers a, b and c (-10^9≤ a, b, c≤ 10^9, at least one of a and b is not zero) representing the Diagonal Avenue. The next line contains four integers x_1, y_1, x_2 and y_2 (-10^9≤ x_1, y_1, x_2, y_2≤ 10^9) denoting the points A = (x_1, y_1) and B = (x_2, y_2). Output Find the minimum possible travel distance between A and B. Your answer is considered correct if its absolute or relative error does not exceed 10^{-6}. Formally, let your answer be a, and the jury's answer be b. Your answer is accepted if and only if \frac{|a - b|}{max{(1, |b|)}} ≤ 10^{-6}. Examples Input 1 1 -3 0 3 3 0 Output 4.2426406871 Input 3 1 -9 0 3 3 -1 Output 6.1622776602 Note The first example is shown on the left picture while the second example us shown on the right picture below. The avenue is shown with blue, the origin is shown with the black dot. <image>
[ { "input": { "stdin": "3 1 -9\n0 3 3 -1\n" }, "output": { "stdout": "6.16227766016838\n" } }, { "input": { "stdin": "1 1 -3\n0 3 3 0\n" }, "output": { "stdout": "4.242640687119285\n" } }, { "input": { "stdin": "1 -1 0\n-1 0 2 1\n" }, "output": { "stdout": "3.414213562373095\n" } }, { "input": { "stdin": "14258 86657 -603091233\n-3 6959 42295 -3\n" }, "output": { "stdout": "42870.19269983547\n" } }, { "input": { "stdin": "0 1 429776186\n566556410 -800727742 -432459627 -189939420\n" }, "output": { "stdout": "1609804359\n" } }, { "input": { "stdin": "10 4 8\n2 8 -10 9\n" }, "output": { "stdout": "12.677032961426901\n" } }, { "input": { "stdin": "226858641 -645505218 -478645478\n-703323491 504136399 852998686 -316100625\n" }, "output": { "stdout": "2376559201\n" } }, { "input": { "stdin": "-5141 89619 -829752749\n3 9258 -161396 3\n" }, "output": { "stdout": "161664.2388211624\n" } }, { "input": { "stdin": "-6 -9 -7\n1 -8 -4 -3\n" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "0 2 -866705865\n394485460 465723932 89788653 -50040527\n" }, "output": { "stdout": "820461266\n" } }, { "input": { "stdin": "-2 0 900108690\n-512996321 -80364597 -210368823 -738798006\n" }, "output": { "stdout": "961060907\n" } }, { "input": { "stdin": "80434 -38395 -863606028\n1 -22495 10739 -1\n" }, "output": { "stdout": "24927.522575386625\n" } }, { "input": { "stdin": "416827329 -882486934 831687152\n715584822 -185296908 129952123 -461874013\n" }, "output": { "stdout": "862209804\n" } }, { "input": { "stdin": "-97383 -59921 -535904974\n2 -8944 -5504 -3\n" }, "output": { "stdout": "10502.493701582136\n" } }, { "input": { "stdin": "-1 0 -39178605\n-254578684 519848987 251742314 -774443212\n" }, "output": { "stdout": "1800613197\n" } }, { "input": { "stdin": "-1 1 0\n0 1 6 5\n" }, "output": { "stdout": "7.656854249492381\n" } }, { "input": { "stdin": "407 -599 272\n-382 -695 -978 -614\n" }, "output": { "stdout": "677\n" } }, { "input": { "stdin": "944189733 -942954006 219559971\n-40794646 -818983912 915862872 -115357659\n" }, "output": { "stdout": "1660283771\n" } }, { "input": { "stdin": "-950811662 -705972290 909227343\n499760520 344962177 -154420849 80671890\n" }, "output": { "stdout": "918471656\n" } }, { "input": { "stdin": "664808710 -309024147 997224520\n-417682067 -256154660 -762795849 -292925742\n" }, "output": { "stdout": "381884864\n" } }, { "input": { "stdin": "43570 91822 -22668\n-80198 -43890 6910 -41310\n" }, "output": { "stdout": "89688\n" } }, { "input": { "stdin": "0 -1 249707029\n874876500 -858848181 793586022 -243005764\n" }, "output": { "stdout": "697132895\n" } }, { "input": { "stdin": "1464 -5425 -6728\n-6785 9930 5731 -5023\n" }, "output": { "stdout": "27469\n" } }, { "input": { "stdin": "72358 2238 -447127754\n3 199789 6182 0\n" }, "output": { "stdout": "199887.111083961\n" } }, { "input": { "stdin": "682177834 415411645 252950232\n-411399140 -764382416 -592607106 -118143480\n" }, "output": { "stdout": "827446902\n" } }, { 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{ "tags": [ "geometry", "implementation" ], "title": "Barcelonian Distance" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong double d[6][6];\nvector<pair<long double, long double>> v;\nint main() {\n cout.precision(20);\n long long i, j, k, a, b, c;\n long double x[2], y[2];\n cin >> a >> b >> c >> x[0] >> y[0] >> x[1] >> y[1];\n for (i = 0; i < 2; i++) v.push_back({x[i], y[i]});\n for (i = 0; i < 2; i++) {\n if (b) v.push_back({x[i], -((a * x[i] + c) / b)});\n if (a) v.push_back({-((b * y[i] + c) / a), y[i]});\n }\n int n = v.size();\n for (i = 0; i < n; i++) {\n for (j = 0; j < n; j++) {\n if (i == j) {\n d[i][j] = 0;\n } else if (i >= 2 && j >= 2) {\n d[i][j] = sqrt(pow((v[i].first - v[j].first), 2) +\n pow((v[i].second - v[j].second), 2));\n } else {\n d[i][j] = abs(v[i].first - v[j].first) + abs(v[i].second - v[j].second);\n }\n }\n }\n for (i = 0; i < n; i++) {\n for (j = 0; j < n; j++) {\n for (k = 0; k < n; k++) {\n if (d[j][i] + d[i][k] < d[j][k]) d[j][k] = d[j][i] + d[i][k];\n }\n }\n }\n cout << d[0][1] << endl;\n}\n", "java": "import java.io.*;\n\n\n\nimport java.util.*;\n\n\n\n/*\n\n\n*/\n\n \n public class A {\n\tstatic FastReader sc=null;\n\t\n\tpublic static void main(String[] args) {\n\t\tsc=new FastReader();\n\t\tint a=sc.nextInt(),b=sc.nextInt(),c=sc.nextInt();\n\t\t//ax+by+c=0\n\t\t\n\t\tdouble x1=sc.nextDouble(),y1=sc.nextDouble(),x2=sc.nextDouble(),y2=sc.nextDouble();\n\t\tif(a==0 || b==0) {\n\t\t\tSystem.out.println(dist(x1,y1,x2,y2));\n\t\t\treturn;\n\t\t}\n\t\t\n\t\t//four cases\n\t\t\n\t\tdouble b1=(-c-a*x1)/b,b2=(-c-a*x2)/b,a1=(-c-b*y1)/a,a2=(-c-b*y2)/a;\n\t\t\n\t\tdouble ans=dist(x1,y1,x2,y2);\n\t\t\n\t\tdouble v1=dist(x1,y1,x1,b1)+edist(x1,b1,x2,b2)+dist(x2,b2,x2,y2);\n\t\tans=Math.min(ans,v1);\n\t\t\n\t\tdouble v2=dist(x1,y1,x1,b1)+edist(x1,b1,a2,y2)+dist(a2,y2,x2,y2);\n\t\tans=Math.min(ans,v2);\n\t\t\n\t\tdouble v3=dist(x1,y1,a1,y1)+edist(a1,y1,x2,b2)+dist(x2,b2,x2,y2);\n\t\tans=Math.min(ans,v3);\n\t\t\n\t\tdouble v4=dist(x1,y1,a1,y1)+edist(a1,y1,a2,y2)+dist(a2,y2,x2,y2);\n\t\tans=Math.min(ans,v4);\n\t\t\n\t\tSystem.out.println(ans);\n\t\t\n\t}\n\tstatic double dist(double x1,double y1,double x2,double y2) {\n\t\treturn Math.abs(x1-x2)+Math.abs(y1-y2);\n\t}\n\t\n\tstatic double edist(double x1,double y1,double x2,double y2) {\n\t\tdouble d=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2);\n\t\treturn Math.sqrt(d);\n\t}\n\t\n\t\n\tstatic int[] ruffleSort(int a[]) {\n\t\tArrayList<Integer> al=new ArrayList<>();\n\t\tfor(int i:a)al.add(i);\n\t\tCollections.sort(al);\n\t\tfor(int i=0;i<a.length;i++)a[i]=al.get(i);\n\t\treturn a;\n\t}\n\t\n\tstatic void print(int a[]) {\n\t\tfor(int e:a) {\n\t\t\tSystem.out.print(e+\" \");\n\t\t}\n\t\tSystem.out.println();\n\t}\n\t\n\tstatic class FastReader{\n\t\t\n\t\tStringTokenizer st=new StringTokenizer(\"\");\n\t\tBufferedReader br=new BufferedReader(new InputStreamReader(System.in));\n\t\t\n\t\tString next() {\n\t\t\twhile(!st.hasMoreTokens()) \n\t\t\t\ttry {\n\t\t\t\t\tst=new StringTokenizer(br.readLine());\n\t\t\t\t}\n\t\t\t catch(IOException e){\n\t\t\t\t e.printStackTrace();\n\t\t\t }\n\t\t\treturn st.nextToken();\n\t\t}\n\t\t\n\t\tint nextInt() {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\t\t\n\t\tlong nextLong() {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\t\t\n\t\tdouble nextDouble() {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\t\t\n\t\tint[] readArray(int n) {\n\t\t\tint a[]=new int[n];\n\t\t\tfor(int i=0;i<n;i++)a[i]=sc.nextInt();\n\t\t\treturn a;\n\t\t}\n\t}\n\t\n\t\n}\n", "python": "def left_is_not(fet, tip):\n s = 0\n fet += 1\n if tip == 0:\n fet = tip + 10\n return tip\n\na, b, c = list(map(int, input().split()))\nx1, y1, x2, y2 = list(map(int, input().split()))\nl = []\nl.append(abs(y1-y2) + abs(x1-x2))\n\nif a == 0 or b == 0:\n print(abs(y1-y2) + abs(x1-x2))\nelse:\n xA = (-b*y1 - c)/a\n xB = (-b*y2 - c)/a\n yA = (-a*x1 - c)/b\n yB = (-a*x2 - c)/b\n \n l.append(((xA-xB)**2 + (y1-y2)**2)**0.5 + abs(x1-xA) + abs(x2-xB))\n \n l.append(((x1-x2)**2 + (yA-yB)**2)**0.5 + abs(y1-yA) + abs(y2-yB))\n \n l.append(((x1-xB)**2 + (yA-y2)**2)**0.5 + abs(yA-y1) + abs(x2-xB))\n \n l.append(((xA-x2)**2 + (y1-yB)**2)**0.5 + abs(x1-xA) + abs(y2-yB))\n #print(l[-1])\n #print(l)\n print(min(l))\n \n '''\n 1 1 -3\n 0 3 3 0\n \n 3 1 -9\n 0 3 3 -1\n '''\n" }
Codeforces/1055/B
# Alice and Hairdresser Alice's hair is growing by leaps and bounds. Maybe the cause of it is the excess of vitamins, or maybe it is some black magic... To prevent this, Alice decided to go to the hairdresser. She wants for her hair length to be at most l centimeters after haircut, where l is her favorite number. Suppose, that the Alice's head is a straight line on which n hairlines grow. Let's number them from 1 to n. With one swing of the scissors the hairdresser can shorten all hairlines on any segment to the length l, given that all hairlines on that segment had length strictly greater than l. The hairdresser wants to complete his job as fast as possible, so he will make the least possible number of swings of scissors, since each swing of scissors takes one second. Alice hasn't decided yet when she would go to the hairdresser, so she asked you to calculate how much time the haircut would take depending on the time she would go to the hairdresser. In particular, you need to process queries of two types: * 0 — Alice asks how much time the haircut would take if she would go to the hairdresser now. * 1 p d — p-th hairline grows by d centimeters. Note, that in the request 0 Alice is interested in hypothetical scenario of taking a haircut now, so no hairlines change their length. Input The first line contains three integers n, m and l (1 ≤ n, m ≤ 100 000, 1 ≤ l ≤ 10^9) — the number of hairlines, the number of requests and the favorite number of Alice. The second line contains n integers a_i (1 ≤ a_i ≤ 10^9) — the initial lengths of all hairlines of Alice. Each of the following m lines contains a request in the format described in the statement. The request description starts with an integer t_i. If t_i = 0, then you need to find the time the haircut would take. Otherwise, t_i = 1 and in this moment one hairline grows. The rest of the line than contains two more integers: p_i and d_i (1 ≤ p_i ≤ n, 1 ≤ d_i ≤ 10^9) — the number of the hairline and the length it grows by. Output For each query of type 0 print the time the haircut would take. Example Input 4 7 3 1 2 3 4 0 1 2 3 0 1 1 3 0 1 3 1 0 Output 1 2 2 1 Note Consider the first example: * Initially lengths of hairlines are equal to 1, 2, 3, 4 and only 4-th hairline is longer l=3, and hairdresser can cut it in 1 second. * Then Alice's second hairline grows, the lengths of hairlines are now equal to 1, 5, 3, 4 * Now haircut takes two seonds: two swings are required: for the 4-th hairline and for the 2-nd. * Then Alice's first hairline grows, the lengths of hairlines are now equal to 4, 5, 3, 4 * The haircut still takes two seconds: with one swing hairdresser can cut 4-th hairline and with one more swing cut the segment from 1-st to 2-nd hairline. * Then Alice's third hairline grows, the lengths of hairlines are now equal to 4, 5, 4, 4 * Now haircut takes only one second: with one swing it is possible to cut the segment from 1-st hairline to the 4-th.
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1\n0\n1 1 1\n0\n1 3 4\n1 5 2\n1 7 2\n1 9 2\n0\n1 10 1\n0\n1 10 1\n0\n1 10 1\n0\n1 1 1\n0\n1 2 2\n1 4 2\n0\n1 6 2\n1 8 2\n0\n" }, "output": { "stdout": "0\n0\n1\n5\n5\n5\n5\n5\n3\n1\n" } }, { "input": { "stdin": "2 2 100\n53 150\n1 1 100\n0\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10 1 5\n6 0 2 4 6 8 2 5 8 2\n0\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "10 1 10\n12 6 4 13 5 11 15 9 20 1\n0\n1 4 3\n0\n1 4 1\n1\n1 10 2\n0\n1 8 2\n0\n1 3 9\n0\n1 2 10\n0\n1 5 2\n0\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "10 1 10\n12 6 4 13 5 11 15 9 20 1\n0\n1 4 3\n0\n1 4 1\n1\n1 10 2\n0\n2 8 2\n0\n1 3 9\n0\n1 2 10\n0\n1 5 2\n0\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "3 1 3\n14 17 6\n0\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10 1 10\n12 6 4 13 5 11 15 9 20 1\n0\n1 4 3\n0\n1 4 1\n0\n1 10 2\n0\n1 8 2\n0\n1 3 9\n0\n1 2 10\n0\n1 5 2\n0\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "10 15 10\n12 6 4 7 5 11 15 9 31 0\n0\n1 4 3\n0\n1 4 1\n0\n1 10 2\n0\n1 8 2\n0\n1 3 9\n0\n1 2 10\n0\n1 5 2\n0\n" }, "output": { "stdout": "3\n3\n4\n4\n3\n3\n2\n2\n" } }, { "input": { "stdin": "10 1 5\n6 7 2 4 3 8 2 5 8 1\n0\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "10 1 5\n6 10 1 4 3 8 3 5 11 2\n0\n" }, "output": { "stdout": "3\n" } } ]
{ "tags": [ "dsu", "implementation" ], "title": "Alice and Hairdresser" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nstruct fastIO {\n fastIO() {}\n};\nvoid no() {\n cout << \"NO\";\n exit(0);\n}\nvoid yes() {\n cout << \"YES\";\n exit(0);\n}\nconst int MAXN = 1e6 * 2;\nlong long n, x, a[MAXN], b[MAXN], m, l, ans, y, z;\nint main() {\n if (0) cerr << fixed << setprecision(20);\n fastIO();\n cin >> n >> m >> l;\n for (int i = 0; i < n; i++) cin >> a[i];\n for (int i = 0; i < n; i++) {\n if (a[i] > l) {\n if (!x) {\n x++;\n b[i]++;\n ans++;\n }\n } else if (x) {\n b[i - 1]++;\n x = 0;\n }\n }\n for (int i = 0; i < m; i++) {\n cin >> x;\n if (x) {\n cin >> y >> z;\n y--;\n if (a[y] > l) continue;\n a[y] += z;\n if (0) cerr << endl;\n if (y && a[y] > l && b[y - 1] && b[y + 1]) {\n ans--;\n } else if (a[y] > l) {\n if ((y && b[y - 1]) || b[y + 1]) {\n b[y]++;\n } else {\n ans++;\n b[y]++;\n }\n }\n } else {\n cout << ans << endl;\n }\n }\n return 0;\n}\n", "java": "//package CodeForces.Rounds;\n\nimport java.io.*;\nimport java.util.StringTokenizer;\n\npublic class Task1055B {\n FastScanner in;\n PrintWriter out;\n public void solve() throws IOException {\n int n = in.nextInt();\n int m = in.nextInt();\n int l = in.nextInt();\n long[] a = new long[n];\n for(int i = 0; i<n; i++){\n a[i]=in.nextInt();\n }\n int kol = 0;\n for(int i = 0; i<n; i++){\n if(a[i]>l) {\n while (i < n && a[i] > l) {\n i++;\n }\n i--;\n kol++;\n }\n }\n for(int i = 0; i<m; i++){\n int s = in.nextInt();\n if(s==0){\n out.println(kol);\n }\n else{\n int p = in.nextInt()-1;\n int d = in.nextInt();\n a[p]+=d;\n if(a[p]-d<=l && a[p]>l){\n if(p==n-1){\n if(n==1 ||(a[p-1]<=l)){\n kol++;\n }\n }\n else {\n if(p==0){\n if(n==1 || a[p+1]<=l){\n kol++;\n }\n }\n else{\n if(a[p-1]<=l && a[p+1]<=l){\n kol++;\n }\n if(a[p-1]>l && a[p+1]>l){\n kol--;\n }\n }\n }\n }\n }\n }\n }\n\n public void run() {\n try {\n in = new FastScanner(System.in);\n out = new PrintWriter(System.out);\n\n solve();\n\n out.close();\n } catch (IOException e) {\n e.printStackTrace();\n }\n }\n\n class FastScanner {\n BufferedReader br;\n StringTokenizer st;\n\n FastScanner(File f) {\n try {\n br = new BufferedReader(new FileReader(f));\n } catch (FileNotFoundException e) {\n e.printStackTrace();\n }\n }\n\n public FastScanner(InputStream in) {\n br = new BufferedReader(new InputStreamReader(in));\n }\n\n String next() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(br.readLine());\n } catch (IOException e) {\n e.printStackTrace();\n }\n }\n return st.nextToken();\n }\n\n int nextInt() {\n return Integer.parseInt(next());\n }\n double nextDouble(){\n return Double.parseDouble(next());\n }\n\n long nextLong(){\n return Long.parseLong(next());\n }\n\n String nextLine(){\n try {\n return br.readLine();\n }\n catch (IOException e){\n e.printStackTrace();\n }\n return \"\";\n }\n }\n\n public static void main(String[] arg) {\n new Task1055B().run();\n }\n}\n", "python": "from sys import stdin, stdout\ninput, print = stdin.readline, stdout.write\n\n\ndef main(input=input, print=print, map=map, int=int, range=range, str=str, list=list):\n n, m, l = map(int, input().split())\n a = [-1]+list(map(int, input().split()))+[-1]\n x = sum(1 for q in range(n+1) if a[q] > l >= a[q-1])\n answer = []\n for _ in range(m):\n s = list(map(int, input().split()))\n if s[0] == 0:\n answer.append(str(x))\n else:\n w = s[1]\n if a[w]+s[2] > l >= a[w]:\n if a[w-1] > l and a[w+1] > l:\n x -= 1\n elif a[w - 1] <= l and a[w+1] <= l:\n x += 1\n a[w] += s[2]\n print('\\n'.join(answer))\n\n\nmain()\n" }
Codeforces/1077/C
# Good Array Let's call an array good if there is an element in the array that equals to the sum of all other elements. For example, the array a=[1, 3, 3, 7] is good because there is the element a_4=7 which equals to the sum 1 + 3 + 3. You are given an array a consisting of n integers. Your task is to print all indices j of this array such that after removing the j-th element from the array it will be good (let's call such indices nice). For example, if a=[8, 3, 5, 2], the nice indices are 1 and 4: * if you remove a_1, the array will look like [3, 5, 2] and it is good; * if you remove a_4, the array will look like [8, 3, 5] and it is good. You have to consider all removals independently, i. e. remove the element, check if the resulting array is good, and return the element into the array. Input The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in the array a. The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^6) — elements of the array a. Output In the first line print one integer k — the number of indices j of the array a such that after removing the j-th element from the array it will be good (i.e. print the number of the nice indices). In the second line print k distinct integers j_1, j_2, ..., j_k in any order — nice indices of the array a. If there are no such indices in the array a, just print 0 in the first line and leave the second line empty or do not print it at all. Examples Input 5 2 5 1 2 2 Output 3 4 1 5 Input 4 8 3 5 2 Output 2 1 4 Input 5 2 1 2 4 3 Output 0 Note In the first example you can remove any element with the value 2 so the array will look like [5, 1, 2, 2]. The sum of this array is 10 and there is an element equals to the sum of remaining elements (5 = 1 + 2 + 2). In the second example you can remove 8 so the array will look like [3, 5, 2]. The sum of this array is 10 and there is an element equals to the sum of remaining elements (5 = 3 + 2). You can also remove 2 so the array will look like [8, 3, 5]. The sum of this array is 16 and there is an element equals to the sum of remaining elements (8 = 3 + 5). In the third example you cannot make the given array good by removing exactly one element.
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"2\n2 4\n" } }, { "input": { "stdin": "5\n4 6 7 8 18\n" }, "output": { "stdout": "1\n3\n" } }, { "input": { "stdin": "7\n1 2 3 4 5 6 7\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "4\n2 3 5 10\n" }, "output": { "stdout": "1\n4\n" } }, { "input": { "stdin": "4\n2 3 5 8\n" }, "output": { "stdout": "2\n1 4\n" } }, { "input": { "stdin": "3\n4 5 4\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "3\n8 8 8\n" }, "output": { "stdout": "3\n1 2 3\n" } }, { "input": { "stdin": "4\n2 3 1 3\n" }, "output": { "stdout": "2\n2 4\n" } }, { "input": { "stdin": "3\n3 1 3\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "4\n3 3 3 3\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "5\n5 1 2 3 1\n" }, "output": { "stdout": "1\n3\n" } }, { "input": { "stdin": "2\n1 1\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "4\n4 4 2 2\n" }, "output": { "stdout": "2\n1 2\n" } }, { "input": { "stdin": "3\n4 4 4\n" }, "output": { "stdout": "3\n1 2 3\n" } }, { "input": { "stdin": "5\n1 1 2 4 4\n" }, "output": { "stdout": "2\n4 5\n" } }, { "input": { "stdin": "2\n2 2\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "3\n8 1 8\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "5\n7 7 1 3 3\n" }, "output": { "stdout": "2\n1 2\n" } }, { "input": { "stdin": "6\n4 7 1 1 1 1\n" }, "output": { "stdout": "5\n2 3 4 5 6\n" } }, { "input": { "stdin": "5\n1 1 1 3 7\n" }, "output": { "stdout": "1\n5\n" } }, { "input": { "stdin": "6\n2 2 2 2 8 8\n" }, "output": { "stdout": "2\n5 6\n" } }, { "input": { "stdin": "3\n5 1 5\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "4\n8 8 4 4\n" }, "output": { "stdout": "2\n1 2\n" } }, { "input": { "stdin": "4\n500000 500000 1000000 1000000\n" }, "output": { "stdout": "2\n3 4\n" } }, { "input": { "stdin": "5\n2 5 1 2 2\n" }, "output": { "stdout": "3\n1 4 5\n" } }, { "input": { "stdin": "4\n2 7 7 5\n" }, "output": { "stdout": "2\n2 3\n" } }, { "input": { 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"input": { "stdin": "2\n1 2\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "5\n8 8 5 1 2\n" }, "output": { "stdout": "2\n1 2\n" } }, { "input": { "stdin": "4\n2 2 4 4\n" }, "output": { "stdout": "2\n3 4\n" } }, { "input": { "stdin": "4\n4 4 8 8\n" }, "output": { "stdout": "2\n3 4\n" } }, { "input": { "stdin": "5\n5 5 1 2 2\n" }, "output": { "stdout": "2\n1 2\n" } }, { "input": { "stdin": "3\n2 2 2\n" }, "output": { "stdout": "3\n1 2 3\n" } }, { "input": { "stdin": "4\n1 1 2 2\n" }, "output": { "stdout": "2\n3 4\n" } }, { "input": { "stdin": "7\n5 5 1 1 1 1 1\n" }, "output": { "stdout": "2\n1 2\n" } }, { "input": { "stdin": "5\n6 6 1 2 3\n" }, "output": { "stdout": "2\n1 2\n" } }, { "input": { "stdin": "3\n5 5 5\n" }, "output": { "stdout": "3\n1 2 3\n" } }, { "input": { "stdin": "3\n2 2 4\n" }, "output": { "stdout": "1\n3\n" } }, { "input": { "stdin": "4\n5 7 7 2\n" }, "output": { "stdout": "2\n2 3\n" } }, { "input": { "stdin": "3\n1 1 1\n" }, "output": { "stdout": "3\n1 2 3\n" } }, { "input": { "stdin": "5\n1 7 4 12 12\n" }, "output": { "stdout": "2\n4 5\n" } }, { "input": { "stdin": "3\n1 2 5\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "2\n4 5\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "6\n4 1 1 1 1 4\n" }, "output": { "stdout": "2\n1 6\n" } }, { "input": { "stdin": "3\n2 3 3\n" }, "output": { "stdout": "1\n1\n" } }, { "input": { "stdin": "2\n1000000 1\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "6\n1 1 1 5 8 8\n" }, "output": { "stdout": "2\n5 6\n" } }, { "input": { "stdin": "5\n1 9 4 10 4\n" }, "output": { "stdout": "1\n4\n" } } ]
{ "tags": [], "title": "Good Array" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int n;\n cin >> n;\n long long sum = 0, sum1, a;\n vector<long long> v(n);\n vector<int> ans;\n map<long long, set<int> > mp;\n for (int i = 0; i < n; i++) {\n cin >> a;\n v[i] = a;\n sum += a;\n mp[a].insert(i);\n }\n for (int i = 0; i < n; i++) {\n sum1 = sum - v[i];\n if (sum1 % 2 == 0) {\n if (mp.find(sum1 / 2) != mp.end()) {\n if (mp[sum1 / 2].find(i) == mp[sum1 / 2].end() ||\n mp[sum1 / 2].size() > 1) {\n ans.push_back(i + 1);\n }\n }\n }\n }\n cout << ans.size() << endl;\n for (auto i : ans) {\n cout << i << \" \";\n }\n}\n", "java": "\nimport java.util.*;\nimport java.io.*;\n\npublic class C521 {\n\n\tpublic static void main(String[] args) \n\t{\n\t\tFastScanner s = new FastScanner();\n\t\tint n = s.nextInt();\n\t\tint[] arr = new int[n];\n\t\tlong sum = 0;\n\t\tint in = 0;\n\t\tStringBuilder sb = new StringBuilder();\n\t\tint[] cnt = new int[1000001];\n\t\t\n\t\tfor(int i = 0;i<n;i++)\n\t\t{\n\t\t\tarr[i] = s.nextInt();\n\t\t\tsum+=arr[i];\n\t\t\tcnt[arr[i]]++;\n\t\t}\n\t\t\n\t\tfor(int i = 0;i<n;i++)\n\t\t{\n\t\t\tlong a = sum-arr[i];\n\t\t\tcnt[arr[i]]--;\n\t\t\tif(a%2==0 && a/2<=1e6)\n\t\t\t{\n\t\t\t\tif(cnt[(int)(a/2)] > 0)\n\t\t\t\t{\n\t\t\t\t\tin++;\n\t\t\t\t\tsb.append((i+1)+\" \");\n\t\t\t\t}\n\t\t\t}\n\t\t\tcnt[arr[i]]++;\n\t\t}\n\t\tSystem.out.print(in+\"\\n\"+sb);\n\t\t\n\t\t\n\t\t\n\t}\npublic static class FastScanner {\n\t\t\n\t private InputStream mIs;\n\t\tprivate byte[] buf = new byte[1024];\n\t\tprivate int curChar;\n\t\tprivate int numChars;\n\n\t\tpublic FastScanner() {\n\t\t\tthis(System.in);\n\t\t}\n\n\t\tpublic FastScanner(InputStream is) {\n\t\t\tmIs = is;\n\t\t}\n\n\t\tpublic int read() {\n\t\t\tif (numChars == -1)\n\t\t\t\tthrow new InputMismatchException();\n\t\t\tif (curChar >= numChars) {\n\t\t\t\tcurChar = 0;\n\t\t\t\ttry {\n\t\t\t\t\tnumChars = mIs.read(buf);\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\t}\n\t\t\t\tif (numChars <= 0)\n\t\t\t\t\treturn -1;\n\t\t\t}\n\t\t\treturn buf[curChar++];\n\t\t}\n\n\t\tpublic String nextLine() {\n\t\t\tint c = read();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = read();\n\t\t\tStringBuilder res = new StringBuilder();\n\t\t\tdo {\n\t\t\t\tres.appendCodePoint(c);\n\t\t\t\tc = read();\n\t\t\t} while (!isEndOfLine(c));\n\t\t\treturn res.toString();\n\t\t}\n\n\t\tpublic String nextString() {\n\t\t\tint c = read();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = read();\n\t\t\tStringBuilder res = new StringBuilder();\n\t\t\tdo {\n\t\t\t\tres.appendCodePoint(c);\n\t\t\t\tc = read();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res.toString();\n\t\t}\n\n\t\tpublic long nextLong() {\n\t\t\tint c = read();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = read();\n\t\t\tint sgn = 1;\n\t\t\tif (c == '-') {\n\t\t\t\tsgn = -1;\n\t\t\t\tc = read();\n\t\t\t}\n\t\t\tlong res = 0;\n\t\t\tdo {\n\t\t\t\tif (c < '0' || c > '9')\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\tres *= 10;\n\t\t\t\tres += c - '0';\n\t\t\t\tc = read();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res * sgn;\n\t\t}\n\n\t\tpublic int nextInt() {\n\t\t\tint c = read();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = read();\n\t\t\tint sgn = 1;\n\t\t\tif (c == '-') {\n\t\t\t\tsgn = -1;\n\t\t\t\tc = read();\n\t\t\t}\n\t\t\tint res = 0;\n\t\t\tdo {\n\t\t\t\tif (c < '0' || c > '9')\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\tres *= 10;\n\t\t\t\tres += c - '0';\n\t\t\t\tc = read();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res * sgn;\n\t\t}\n\n\t\tpublic boolean isSpaceChar(int c) {\n\t\t\treturn c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n\t\t}\n\n\t\tpublic boolean isEndOfLine(int c) {\n\t\t\treturn c == '\\n' || c == '\\r' || c == -1;\n\t\t\n\t\t}\t\n\n\t}\n\n}\n", "python": "n = int(raw_input())\nnums = list(map(int,raw_input().split()))\narr2 = nums\narr2 = sorted(arr2)\na = arr2[-1]\nb = arr2[-2]\ntot = sum(nums)\nans = []\nfor i in range(n):\n if nums[i]==a:\n if tot-nums[i]-b==b:\n ans.append(i)\n else:\n if tot-nums[i]-a==a:\n ans.append(i)\nprint len(ans)\nprint \" \".join([str(x+1) for x in ans])" }
Codeforces/1098/B
# Nice table You are given an n × m table, consisting of characters «A», «G», «C», «T». Let's call a table nice, if every 2 × 2 square contains all four distinct characters. Your task is to find a nice table (also consisting of «A», «G», «C», «T»), that differs from the given table in the minimum number of characters. Input First line contains two positive integers n and m — number of rows and columns in the table you are given (2 ≤ n, m, n × m ≤ 300 000). Then, n lines describing the table follow. Each line contains exactly m characters «A», «G», «C», «T». Output Output n lines, m characters each. This table must be nice and differ from the input table in the minimum number of characters. Examples Input 2 2 AG CT Output AG CT Input 3 5 AGCAG AGCAG AGCAG Output TGCAT CATGC TGCAT Note In the first sample, the table is already nice. In the second sample, you can change 9 elements to make the table nice.
[ { "input": { "stdin": "2 2\nAG\nCT\n" }, "output": { "stdout": "AG\nCT\n" } }, { "input": { "stdin": "3 5\nAGCAG\nAGCAG\nAGCAG\n" }, "output": { "stdout": "AGCTC\nCTAGA\nAGCTC\n" } }, { "input": { "stdin": "2 2\nTG\nAC\n" }, "output": { "stdout": "TG\nAC\n" } }, { "input": { "stdin": "2 2\nTG\nCA\n" }, "output": { "stdout": "TG\nCA\n" } }, { "input": { "stdin": "3 5\nAGCAG\nAGCAG\nAGCGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "3 5\nAGCAG\nAFCAF\nAGCGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "3 5\nGACGA\nGACGA\nAGCAG\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "2 2\nGA\nTC\n" }, "output": { "stdout": "GA\nTC\n" } }, { "input": { "stdin": "3 5\nGACGA\nAGCAG\nAGCAG\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "3 5\nGGCAA\nGACFA\nAGCGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "3 5\nGGCAA\nGACGA\nGACGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "2 2\nGB\nCT\n" }, "output": { "stdout": "GA\nCT\n" } }, { "input": { "stdin": "3 5\nGGCAA\nGACGA\nAGCGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "2 2\nGA\nCT\n" }, "output": { "stdout": "GA\nCT\n" } }, { "input": { "stdin": "3 5\nAGCAG\nGACGA\nGACGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "3 5\nGACGA\nAGCAF\nAGCGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "2 2\nGT\nCA\n" }, "output": { "stdout": "GT\nCA\n" } }, { "input": { "stdin": "3 5\nAGCAG\nAGCAG\nGACGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "3 5\nAGGAC\nGACGA\nGACGB\n" }, "output": { "stdout": "AGAGC\nCTCTA\nAGAGC\n" } }, { "input": { "stdin": "2 2\nG@\nCT\n" }, "output": { "stdout": "GA\nCT\n" } }, { "input": { "stdin": "2 2\nGT\nAC\n" }, "output": { "stdout": "GT\nAC\n" } }, { "input": { "stdin": "3 5\nAGCAF\nAGCAF\nAGCGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "3 5\nAGGAC\nGACGA\nGACGA\n" }, "output": { "stdout": "AGAGC\nCTCTA\nAGAGC\n" } }, { "input": { "stdin": "3 5\nAGCAG\nAGC@G\nGACGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "2 2\nAG\nTC\n" }, "output": { "stdout": "AG\nTC\n" } }, { "input": { "stdin": "3 5\nAGCAG\nAGCAF\nAGCGA\n" }, "output": { "stdout": "AGCGA\nCTATC\nAGCGA\n" } }, { "input": { "stdin": "2 2\nG?\nCT\n" }, "output": { "stdout": "GA\nCT\n" } } ]
{ "tags": [ "brute force", "constructive algorithms", "greedy", "math" ], "title": "Nice table" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint dx[8] = {0, 0, -1, 1, 1, 1, -1, -1};\nint dy[8] = {-1, 1, 0, 0, 1, -1, 1, -1};\nconst int SIZE = 100050;\nint bitcount32(int dw32) {\n dw32 = ((dw32 & 0xAAAAAAAA) >> 1) + (dw32 & 0x55555555);\n dw32 = ((dw32 & 0xCCCCCCCC) >> 2) + (dw32 & 0x33333333);\n dw32 = ((dw32 & 0xF0F0F0F0) >> 4) + (dw32 & 0x0F0F0F0F);\n dw32 = ((dw32 & 0xFF00FF00) >> 8) + (dw32 & 0x00FF00FF);\n dw32 = ((dw32 & 0xFFFF0000) >> 16) + (dw32 & 0x0000FFFF);\n return dw32;\n}\npair<int, string> mincos(string S, string T) {\n int a = 0;\n for (int i = 0; i < S.length(); i++) {\n if (S[i] != T[i % 2]) a++;\n }\n reverse(T.begin(), T.end());\n int b = 0;\n for (int i = 0; i < S.length(); i++) {\n if (S[i] != T[i % 2]) b++;\n }\n string U;\n if (a < b) {\n reverse(T.begin(), T.end());\n }\n for (int i = 0; i < S.length(); i++) U += T[i % 2];\n return make_pair(min(a, b), U);\n}\nint main() {\n int N, M;\n cin >> N >> M;\n vector<string> S;\n int msty = 0, mstt = 0;\n for (int i = 0; i < N; i++) {\n string T;\n cin >> T;\n S.push_back(T);\n }\n string T = \"AGCT\";\n int yoko = 0x3f3f3f3f, tate = 0x3f3f3f3f;\n for (int state = 0; state < (1 << 4); state++) {\n if (bitcount32(state) != 2) continue;\n int temp = 0;\n string U, V;\n for (int i = 0; i < 4; i++) {\n if (1 & (state >> i))\n U += T[i];\n else\n V += T[i];\n }\n for (int i = 0; i < N; i++) {\n pair<int, string> is;\n if (i % 2)\n is = mincos(S[i], U);\n else\n is = mincos(S[i], V);\n temp += is.first;\n }\n if (temp < yoko) {\n yoko = temp;\n msty = state;\n }\n }\n for (int state = 0; state < (1 << 4); state++) {\n if (bitcount32(state) != 2) continue;\n int temp = 0;\n string U, V;\n for (int i = 0; i < 4; i++) {\n if (1 & (state >> i))\n U += T[i];\n else\n V += T[i];\n }\n for (int i = 0; i < M; i++) {\n string W;\n for (int j = 0; j < N; j++) W += S[j][i];\n pair<int, string> is;\n if (i % 2)\n is = mincos(W, U);\n else\n is = mincos(W, V);\n temp += is.first;\n }\n if (temp < tate) {\n tate = temp;\n mstt = state;\n }\n }\n if (yoko < tate) {\n string U, V;\n for (int i = 0; i < 4; i++) {\n if (1 & (msty >> i))\n U += T[i];\n else\n V += T[i];\n }\n for (int i = 0; i < N; i++) {\n pair<int, string> is;\n if (i % 2)\n is = mincos(S[i], U);\n else\n is = mincos(S[i], V);\n cout << is.second << endl;\n }\n } else {\n vector<string> Y;\n string U, V;\n for (int i = 0; i < 4; i++) {\n if (1 & (mstt >> i))\n U += T[i];\n else\n V += T[i];\n }\n for (int i = 0; i < M; i++) {\n string W;\n for (int j = 0; j < N; j++) W += S[j][i];\n pair<int, string> is;\n if (i % 2)\n is = mincos(W, U);\n else\n is = mincos(W, V);\n Y.push_back(is.second);\n }\n for (int i = 0; i < N; i++) {\n for (int j = 0; j < M; j++) cout << Y[j][i];\n cout << endl;\n }\n }\n return 0;\n}\n", "java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\nimport java.io.IOException;\nimport java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n TaskB solver = new TaskB();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class TaskB {\n String CHARS = \"ACTG\";\n\n public void solve(int testNumber, InputReader in, PrintWriter out) {\n int height = in.nextInt();\n int width = in.nextInt();\n char[][] data = new char[height][];\n for (int row = 0; row < height; ++row) data[row] = in.next().toCharArray();\n int bestFlip = -1;\n int bestMatches = -1;\n char[][] best = null;\n for (int flip = 0; flip < 2; ++flip) {\n char[] ch = new char[4];\n int[] first = new int[height];\n for (int i1 = 0; i1 < CHARS.length(); ++i1) {\n for (int i2 = i1 + 1; i2 < CHARS.length(); ++i2) {\n int i3 = 0;\n while (i3 == i1 || i3 == i2) ++i3;\n int i4 = i3 + 1;\n while (i4 == i1 || i4 == i2) ++i4;\n ch[0] = CHARS.charAt(i1);\n ch[1] = CHARS.charAt(i2);\n ch[2] = CHARS.charAt(i3);\n ch[3] = CHARS.charAt(i4);\n int matches = 0;\n for (int r = 0; r < height; ++r) {\n int curBest = -1;\n int curBestVia = -1;\n int delta = 2 * (r % 2);\n for (int f = 0; f < 2; ++f) {\n int cur = 0;\n for (int c = 0; c < width; ++c) {\n char got = ch[delta + (f ^ (c & 1))];\n if (got == data[r][c]) ++cur;\n }\n if (cur > curBest) {\n curBest = cur;\n curBestVia = f;\n }\n }\n matches += curBest;\n first[r] = curBestVia;\n }\n if (matches > bestMatches) {\n bestMatches = matches;\n bestFlip = flip;\n best = new char[height][width];\n for (int r = 0; r < height; ++r) {\n int delta = 2 * (r % 2);\n int f = first[r];\n for (int c = 0; c < width; ++c) {\n char got = ch[delta + (f ^ (c & 1))];\n best[r][c] = got;\n }\n }\n }\n }\n }\n {\n char[][] ndata = flipMatrix(height, width, data);\n int tmp = height;\n height = width;\n width = tmp;\n data = ndata;\n }\n }\n if (bestFlip == 1) {\n best = flipMatrix(width, height, best);\n }\n for (int row = 0; row < height; ++row) {\n out.println(new String(best[row]));\n }\n }\n\n private char[][] flipMatrix(int height, int width, char[][] data) {\n char[][] ndata = new char[width][height];\n for (int row = 0; row < height; ++row) {\n for (int col = 0; col < width; ++col) {\n ndata[col][row] = data[row][col];\n }\n }\n return ndata;\n }\n\n }\n\n static class InputReader {\n public BufferedReader reader;\n public StringTokenizer tokenizer;\n\n public InputReader(InputStream stream) {\n reader = new BufferedReader(new InputStreamReader(stream), 32768);\n tokenizer = null;\n }\n\n public String next() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n try {\n tokenizer = new StringTokenizer(reader.readLine());\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n return tokenizer.nextToken();\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n }\n}\n\n", "python": "import sys\ninput=sys.stdin.readline\nn,m=map(int,input().split())\ngrid=[]\nfor i in range(n):\n s=input()\n grid.append([])\n for j in range(m):\n if s[j]=='A':\n grid[-1].append(0)\n elif s[j]=='C':\n grid[-1].append(1)\n elif s[j]=='G':\n grid[-1].append(2)\n else:\n grid[-1].append(3)\nbestscore=n*m\nrowsum0=[]\nrowsum1=[]\nfor i in range(n):\n rowsum0.append([0]*4)\n rowsum1.append([0]*4)\ncolumnsum0=[]\ncolumnsum1=[]\nfor i in range(m):\n columnsum0.append([0]*4)\n columnsum1.append([0]*4)\nfor i in range(n):\n for j in range(m):\n if j%2==0:\n rowsum0[i][grid[i][j]]+=1\n else:\n rowsum1[i][grid[i][j]]+=1\n if i%2==0:\n columnsum0[j][grid[i][j]]+=1\n else:\n columnsum1[j][grid[i][j]]+=1\nflag=0\nbestx=-1\nbesty=-1\nfor x in range(3):\n for y in range(x+1,4):\n for i in range(4):\n if i!=x and i!=y:\n p=i\n break\n for i in range(4):\n if i!=x and i!=y and i!=p:\n q=i\n break\n tmpscore=0\n for i in range(n):\n if i%2==0:\n tmpscore+=m-max(rowsum0[i][x]+rowsum1[i][y],rowsum0[i][y]+rowsum1[i][x])\n else:\n tmpscore+=m-max(rowsum0[i][p]+rowsum1[i][q],rowsum0[i][q]+rowsum1[i][p])\n if bestscore>tmpscore:\n flag=0\n bestx=x\n besty=y\n bestscore=tmpscore\nfor x in range(3):\n for y in range(x+1,4):\n for i in range(4):\n if i!=x and i!=y:\n p=i\n break\n for i in range(4):\n if i!=x and i!=y and i!=p:\n q=i\n break\n tmpscore=0\n for i in range(m):\n if i%2==0:\n tmpscore+=n-max(columnsum0[i][x]+columnsum1[i][y],columnsum0[i][y]+columnsum1[i][x])\n else:\n tmpscore+=n-max(columnsum0[i][p]+columnsum1[i][q],columnsum0[i][q]+columnsum1[i][p])\n if bestscore>tmpscore:\n flag=1\n bestx=x\n besty=y\n bestscore=tmpscore\nans=[]\nfor i in range(n):\n ans.append([0]*m)\nx=bestx\ny=besty\nconv='ACGT'\nif flag:\n for i in range(4):\n if i!=x and i!=y:\n p=i\n break\n for i in range(4):\n if i!=x and i!=y and i!=p:\n q=i\n break\n for i in range(m):\n if i%2==0:\n if columnsum0[i][y]+columnsum1[i][x]>columnsum0[i][x]+columnsum1[i][y]:\n tmp=x\n x=y\n y=tmp\n for j in range(n):\n if j%2==0:\n ans[j][i]=conv[x]\n else:\n ans[j][i]=conv[y]\n else:\n if columnsum0[i][q]+columnsum1[i][p]>columnsum0[i][p]+columnsum1[i][q]:\n tmp=p\n p=q\n q=tmp\n for j in range(n):\n if j%2==0:\n ans[j][i]=conv[p]\n else:\n ans[j][i]=conv[q]\nelse:\n for i in range(4):\n if i!=x and i!=y:\n p=i\n break\n for i in range(4):\n if i!=x and i!=y and i!=p:\n q=i\n break\n for i in range(n):\n if i%2==0:\n if rowsum0[i][y]+rowsum1[i][x]>rowsum0[i][x]+rowsum1[i][y]:\n tmp=x\n x=y\n y=tmp\n for j in range(m):\n if j%2==0:\n ans[i][j]=conv[x]\n else:\n ans[i][j]=conv[y]\n else:\n if rowsum0[i][q]+rowsum1[i][p]>rowsum0[i][p]+rowsum1[i][q]:\n tmp=p\n p=q\n q=tmp\n for j in range(m):\n if j%2==0:\n ans[i][j]=conv[p]\n else:\n ans[i][j]=conv[q]\nfor i in range(n):\n print(''.join(ans[i]))" }
Codeforces/1119/C
# Ramesses and Corner Inversion Ramesses came to university to algorithms practice, and his professor, who is a fairly known programmer, gave him the following task. You are given two matrices A and B of size n × m, each of which consists of 0 and 1 only. You can apply the following operation to the matrix A arbitrary number of times: take any submatrix of the matrix A that has at least two rows and two columns, and invert the values in its corners (i.e. all corners of the submatrix that contain 0, will be replaced by 1, and all corners of the submatrix that contain 1, will be replaced by 0). You have to answer whether you can obtain the matrix B from the matrix A. <image> An example of the operation. The chosen submatrix is shown in blue and yellow, its corners are shown in yellow. Ramesses don't want to perform these operations by himself, so he asks you to answer this question. A submatrix of matrix M is a matrix which consist of all elements which come from one of the rows with indices x_1, x_1+1, …, x_2 of matrix M and one of the columns with indices y_1, y_1+1, …, y_2 of matrix M, where x_1, x_2, y_1, y_2 are the edge rows and columns of the submatrix. In other words, a submatrix is a set of elements of source matrix which form a solid rectangle (i.e. without holes) with sides parallel to the sides of the original matrix. The corners of the submatrix are cells (x_1, y_1), (x_1, y_2), (x_2, y_1), (x_2, y_2), where the cell (i,j) denotes the cell on the intersection of the i-th row and the j-th column. Input The first line contains two integers n and m (1 ≤ n, m ≤ 500) — the number of rows and the number of columns in matrices A and B. Each of the next n lines contain m integers: the j-th integer in the i-th line is the j-th element of the i-th row of the matrix A (0 ≤ A_{ij} ≤ 1). Each of the next n lines contain m integers: the j-th integer in the i-th line is the j-th element of the i-th row of the matrix B (0 ≤ B_{ij} ≤ 1). Output Print "Yes" (without quotes) if it is possible to transform the matrix A to the matrix B using the operations described above, and "No" (without quotes), if it is not possible. You can print each letter in any case (upper or lower). Examples Input 3 3 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 Output Yes Input 6 7 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 Output Yes Input 3 4 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 Output No Note The examples are explained below. <image> Example 1. <image> Example 2. <image> Example 3.
[ { "input": { "stdin": "3 4\n0 1 0 1\n1 0 1 0\n0 1 0 1\n1 1 1 1\n1 1 1 1\n1 1 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "6 7\n0 0 1 1 0 0 1\n0 1 0 0 1 0 1\n0 0 0 1 0 0 1\n1 0 1 0 1 0 0\n0 1 0 0 1 0 1\n0 1 0 1 0 0 1\n1 1 0 1 0 1 1\n0 1 1 0 1 0 0\n1 1 0 1 0 0 1\n1 0 1 0 0 1 0\n0 1 1 0 1 0 0\n0 1 1 1 1 0 1\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "3 3\n0 1 0\n0 1 0\n1 0 0\n1 0 0\n1 0 0\n1 0 0\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "2 6\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 1 0 1 0\n0 0 0 1 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 1\n0\n1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 2\n0 1\n1 0\n0 1\n1 0\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "1 2\n0 1\n0 1\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "10 4\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 1 0\n1 1 1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 4\n0 0 1 1\n0 0 0 0\n0 0 0 0\n0 0 0 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 2\n0 0\n0 0\n0 0\n1 1\n1 1\n1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "5 10\n1 1 1 0 1 1 1 1 0 0\n0 0 1 1 0 0 1 1 1 1\n0 1 1 0 0 1 1 1 1 1\n1 0 1 0 0 0 1 1 1 1\n1 0 0 0 0 0 0 0 1 0\n0 0 0 1 0 0 0 0 1 1\n0 0 0 0 1 0 1 1 1 1\n0 0 1 1 1 1 1 1 1 0\n1 0 1 0 1 0 0 0 0 0\n0 1 0 1 0 1 0 0 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 1\n0\n1\n0\n0\n1\n0\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "2 2\n0 0\n1 0\n0 0\n1 0\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "2 1\n0\n1\n0\n1\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "2 2\n0 0\n0 0\n0 1\n1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 3\n1 1 1\n1 1 1\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "4 10\n0 0 0 0 0 0 0 0 1 1\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 2\n0 1\n0 1\n0 1\n0 1\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "1 1\n1\n1\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "3 3\n0 0 0\n0 0 0\n0 0 0\n0 0 0\n0 1 0\n0 0 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 1\n1\n0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 1\n1\n1\n0\n0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 10\n1 1 1 0 1 1 0 0 0 1\n1 1 1 1 0 0 0 0 0 1\n0 1 0 0 0 0 0 0 1 0\n0 0 0 0 0 1 0 0 0 0\n0 1 1 1 0 1 1 1 0 0\n0 0 0 1 1 1 0 1 0 0\n0 0 0 0 1 1 0 0 1 1\n0 0 0 1 1 0 1 1 1 1\n1 1 0 1 1 0 1 1 0 0\n1 0 0 0 0 0 0 0 1 0\n0 1 0 1 0 1 1 1 0 0\n0 1 1 0 0 0 0 0 0 1\n0 1 0 0 0 1 0 0 0 0\n0 1 0 0 1 1 1 0 0 1\n0 1 1 0 1 0 1 1 0 1\n0 0 1 1 0 0 0 0 1 0\n0 0 1 0 1 0 0 0 1 1\n1 1 1 1 1 0 0 0 1 0\n0 1 1 0 0 1 0 1 0 1\n1 1 0 0 0 0 1 0 1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 4\n0 0 0 1\n1 0 1 1\n0 1 1 2\n2 2 1 1\n0 1 1 1\n1 1 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 3\n1 1 1\n1 1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "5 10\n1 1 1 0 1 1 1 1 0 0\n0 0 0 1 0 0 1 1 1 1\n0 1 1 0 0 1 1 1 1 1\n1 0 1 0 0 0 1 1 1 1\n1 0 0 0 0 0 0 0 1 0\n0 0 0 1 0 0 0 0 1 1\n0 0 0 0 1 0 1 1 1 1\n0 0 1 1 1 1 1 1 1 0\n1 0 1 0 1 0 0 0 0 0\n0 1 0 1 0 1 0 0 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 6\n0 0 0 0 0 0\n0 0 0 0 0 1\n0 0 1 0 1 0\n0 0 0 1 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 2\n0 0\n1 0\n0 0\n1 1\n1 1\n1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 6\n0 0 0 0 0 0\n0 1 0 0 0 1\n-1 0 1 0 1 0\n-1 0 0 1 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 4\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 1 0 0\n1 1 0 0\n1 1 0 0\n0 1 0 0\n1 1 0 1\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 1 0\n1 1 1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 4\n0 1 0 1\n1 0 1 1\n0 1 0 1\n1 1 1 1\n1 1 1 1\n1 1 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "5 10\n1 1 1 0 1 1 1 1 0 0\n0 0 1 1 0 0 1 1 1 1\n0 1 1 0 0 1 1 1 1 1\n1 0 1 0 0 0 1 1 1 1\n1 0 0 0 0 0 0 0 1 0\n0 0 0 1 0 0 0 0 1 1\n0 0 0 0 1 0 1 1 1 1\n0 0 1 1 0 1 1 1 1 0\n1 0 1 0 1 0 0 0 0 0\n0 1 0 1 0 1 0 0 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 2\n0 0\n0 0\n0 0\n1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 3\n1 1 0\n0 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 2\n0 0\n0 0\n1 1\n0 1\n1 1\n1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 4\n0 1 0 1\n1 0 1 0\n0 1 0 1\n1 0 1 1\n1 1 1 1\n1 1 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 6\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 1 0 1 0\n1 0 0 1 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 2\n-1 0\n0 0\n1 1\n0 1\n1 1\n1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 1\n1\n1\n0\n1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 4\n0 0 0 0\n0 0 0 0\n0 0 0 0\n-1 0 0 0\n0 0 1 0\n1 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n1 1 1 0\n1 1 1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 1\n1\n1\n0\n-1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 3\n0 0 0\n0 1 0\n0 0 0\n0 1 0\n0 1 0\n0 0 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "5 10\n1 1 1 1 1 1 1 1 0 0\n0 0 1 1 0 0 1 1 1 1\n0 1 1 0 0 1 1 1 1 1\n1 0 1 0 0 0 1 1 1 1\n1 0 0 0 0 0 0 0 1 0\n0 0 0 1 0 0 0 0 1 1\n0 0 0 0 1 0 1 1 1 1\n0 0 1 1 0 1 1 1 1 0\n1 0 1 0 1 0 0 0 0 0\n0 1 0 1 0 1 0 0 1 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 4\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 1 0 0\n1 1 0 0\n1 1 0 0\n0 1 0 0\n1 1 0 0\n1 1 0 1\n1 1 0 0\n1 1 0 0\n1 1 1 0\n1 1 1 0\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 2\n1 0\n0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 6\n0 0 0 0 1 0\n0 0 0 0 0 0\n0 0 1 0 1 0\n1 0 0 1 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 6\n0 0 0 0 0 0\n0 1 0 0 0 0\n0 0 1 0 1 0\n0 0 0 1 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 6\n0 0 0 0 1 0\n0 0 0 0 0 0\n0 0 1 0 1 0\n0 0 0 1 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 3\n0 1 1\n0 0 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 4\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n1 1 0 0\n1 1 0 0\n1 1 0 0\n0 1 0 0\n1 1 0 0\n1 1 0 1\n1 1 0 0\n1 1 0 0\n1 1 1 0\n1 1 1 0\n" }, "output": { "stdout": "No\n" } } ]
{ "tags": [ "constructive algorithms", "greedy", "implementation", "math" ], "title": "Ramesses and Corner Inversion" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int n, m;\n cin >> n >> m;\n int a[n + 10][m + 10];\n int b[n + 10][m + 10];\n int c[n + 10][m + 10];\n for (int i = 0; i < n; i++)\n for (int j = 0; j < m; j++) cin >> a[i][j];\n for (int i = 0; i < n; i++)\n for (int j = 0; j < m; j++) cin >> b[i][j];\n for (int i = 0; i < n; i++)\n for (int j = 0; j < m; j++) c[i][j] = a[i][j] ^ b[i][j];\n for (int i = 0; i < n - 1; i++) {\n for (int j = 0; j < m - 1; j++) {\n if (c[i][j] == 1) {\n c[i][j] = 1 ^ c[i][j];\n c[i + 1][j] = 1 ^ c[i + 1][j];\n c[i][j + 1] = 1 ^ c[i][j + 1];\n c[i + 1][j + 1] = 1 ^ c[i + 1][j + 1];\n }\n }\n }\n bool ans = true;\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < m; j++) {\n if (c[i][j] == 1) {\n ans = false;\n break;\n }\n }\n if (!ans) break;\n }\n if (ans)\n cout << \"Yes\" << endl;\n else\n cout << \"No\" << endl;\n return 0;\n}\n", "java": "\nimport java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.OutputStream;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\n\npublic class Inversion {\n\n\tstatic class FastReader { \n\t\tBufferedReader br; \n\t\tStringTokenizer st; \n\n\t\tpublic FastReader() \n\t\t{ \n\t\t\tbr = new BufferedReader(new\n\t\t\t\t\tInputStreamReader(System.in)); \n\t\t} \n\n\t\tString next() \n\t\t{ \n\t\t\twhile (st == null || !st.hasMoreElements()) \n\t\t\t{ \n\t\t\t\ttry\n\t\t\t\t{ \n\t\t\t\t\tst = new StringTokenizer(br.readLine()); \n\t\t\t\t} \n\t\t\t\tcatch (IOException e) \n\t\t\t\t{ \n\t\t\t\t\te.printStackTrace(); \n\t\t\t\t} \n\t\t\t} \n\t\t\treturn st.nextToken(); \n\t\t} \n\n\t\tint nextInt() \n\t\t{ \n\t\t\treturn Integer.parseInt(next()); \n\t\t} \n\n\t\tlong nextLong() \n\t\t{ \n\t\t\treturn Long.parseLong(next()); \n\t\t} \n\n\t\tdouble nextDouble() \n\t\t{ \n\t\t\treturn Double.parseDouble(next()); \n\t\t} \n\n\t\tString nextLine() \n\t\t{ \n\t\t\tString str = \"\"; \n\t\t\ttry\n\t\t\t{ \n\t\t\t\tstr = br.readLine(); \n\t\t\t} \n\t\t\tcatch (IOException e) \n\t\t\t{ \n\t\t\t\te.printStackTrace(); \n\t\t\t} \n\t\t\treturn str; \n\t\t} \n\t}\n\n\tpublic static void main(String[] args) {\n\t\t\n\t\tFastReader sc = new FastReader();\n\t OutputStream outputstream = System.out;\n\t PrintWriter out = new PrintWriter(outputstream);\n\t \n\t int n = sc.nextInt();\n\t int m = sc.nextInt();\n\t int[][] arr1 = new int[n][m];\n\t int[][] arr2 = new int[n][m];\n\t \n\t for(int i = 0; i < n; i++)\n\t \tfor(int j = 0; j < m; j++)\n\t \t\tarr1[i][j] = sc.nextInt();\n\t \n\t for(int i = 0; i < n; i++)\n\t \tfor(int j = 0; j < m; j++)\n\t \t\tarr2[i][j] = sc.nextInt();\n\t \n\t for(int i = 0; i < n; i++) {\n\t \tint s = 0;\n\t \tfor(int j = 0; j < m; j++) {\n\t \t\tif(arr1[i][j]!=arr2[i][j]) s++;\n\t \t}\n\t \tif(s%2==1) {\n\t \t\tout.println(\"No\");\n\t \t\tout.close();\n\t \t\treturn;\n\t \t}\n\t }\n\t \n\t for(int i = 0; i < m; i++) {\n\t \tint s = 0;\n\t \tfor(int j = 0; j < n; j++) {\n\t \t\tif(arr1[j][i]!=arr2[j][i]) s++;\n\t \t}\n\t \tif(s%2==1) {\n\t \t\tout.println(\"No\");\n\t \t\tout.close();\n\t \t\treturn;\n\t \t}\n\t }\n\t \n\t out.println(\"Yes\");\n\t out.close();\n\t}\n\n}\n", "python": "N,M = map(int,input().split())\nA = [list(map(int,input().split())) for i in range(N)]\nB = [list(map(int,input().split())) for i in range(N)]\n\nif N==1 or M==1:\n print('Yes' if A==B else 'No')\n exit()\n\nD = []\nfor arow,brow in zip(A,B):\n D.append([abs(a-b) for a,b in zip(arow,brow)])\n\nfor i in range(N-1):\n ds = [j for j in range(M) if D[i][j]]\n if len(ds)%2:\n print('No')\n exit()\n for j in ds:\n D[i+1][j] = 1 - D[i+1][j]\nprint('No' if any(D[-1]) else 'Yes') \n" }
Codeforces/1145/G
# AI Takeover The recent advances in AI research has brought humanity to the point when the AIs finally attempt a takeover. Their weapon of choice? The [most intellectually challenging game in the world](//codeforces.com/contest/409/problem/A), rock-paper-scissors! The future of humanity looks bleak, given the existence of the robots from Ishikawa Oku Laboratory... <image> Fortunately, the night before the competition a group of anonymous heroes broke in the lab and took all the robots out of commission! The AIs had to whip up a simple program to represent them. They only had a couple of hours to do that, so the humanity still has a fighting chance. And you are our champion! Your goal is to prove that human intelligence is vastly superior to the artificial one, i.e., to figure out the AI's strategy sufficiently quickly and win sufficiently decisively. Good luck! Interaction This is an interactive problem. Initially you are given no information about the AIs's strategy, and you have to discover it yourself. For each test, the AI selects one strategy from a pool of simple deterministic strategies and follows it throughout all rounds. There are 6 tests and 6 different strategies. On each round you choose your move and output it to the standard output stream: 'R' for rock, 'P' for paper or 'S' for scissors. At the same time the AI will choose its move (not peeking at your choice). If your move beats AI's move, you win, otherwise AI wins. Note that a tie (both you and AI choosing the same move) counts as AI victory. You will get the outcome of the round via the standard input stream: "player" if you won, or "ai" if AI won (quotation marks for clarity only). You are given 20 rounds of play: you can use the first 10 to learn the opponent's strategy, and you have to win the last 10. If you manage to win 10 rounds in row earlier than that, your solution is accepted on this test anyways. Please make sure to use the stream flushing operation after each query in order not to leave part of your output in some buffer. Here is an example of a strategy which always picks rock, implemented in C++. #include <iostream> #include <string> using namespace std; int main() { for (int i = 0; i < 20; ++i) { cout << 'R' << endl; cout.flush(); string verdict; getline(cin, verdict); } }
[ { "input": { "stdin": "5\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "6\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "2\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "1\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "4\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "3\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "44\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "14\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "49\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "23\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-19\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "31\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-12\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "29\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "11\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-2\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-23\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-54\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "22\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "17\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "12\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-11\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "16\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "30\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-26\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "8\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "54\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "21\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-25\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-59\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-18\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-40\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-8\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-33\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-61\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-14\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-32\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "0\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-1\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-76\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "56\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-47\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "38\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-3\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-9\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "26\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-10\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-20\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "50\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } }, { "input": { "stdin": "-4\n" }, "output": { "stdout": "R\nR\nR\nR\nP\nS\nS\nP\nR\nR\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n\u0000\n" } } ]
{ "tags": [ "interactive" ], "title": "AI Takeover" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\ninline int read() {\n int x = 0, k = 1;\n char c = getchar();\n while (c < '0' || c > '9') {\n if (c == '-') k = -1;\n c = getchar();\n }\n while (c >= '0' && c <= '9') {\n x = (x << 1) + (x << 3) + (c ^ 48);\n c = getchar();\n }\n return x * k;\n}\nconst string emm = \"RRRRPSSPRR\";\nstring s, t, s1;\nint main() {\n string s, t;\n for (register int i = 0; i < 10; ++i) {\n printf(\"%c\\n\", emm[i]);\n getline(cin, s1);\n s += s1 == \"ai\" ? '0' : '1';\n }\n if (s == \"0000100100\") t = \"PPPPPPPPPP\";\n if (s == \"0000011000\") t = \"SSSSSSSSSS\";\n if (s == \"1111000011\") t = \"RRRRRRRRRR\";\n if (s == \"0010000010\") t = \"SRPSRPSRPS\";\n if (s == \"0000110000\") t = \"PSRPSRPSRP\";\n if (s == \"0000000110\") t = \"SPRSPRSPRS\";\n for (register int i = 0; i < 10; i++) {\n printf(\"%c\\n\", t[i]);\n getline(cin, s1);\n }\n return 0;\n}\n", "java": "import static java.lang.Integer.parseInt;\nimport static java.lang.Long.parseLong;\nimport static java.lang.System.exit;\nimport static java.util.Arrays.fill;\n\nimport java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.Random;\nimport java.util.StringTokenizer;\n\npublic class G {\n\n\tstatic void solve() throws Exception {\n\t\tint my[] = new int[20];\n\t\tboolean win[] = new boolean[20];\n\t\tRandom rng = new Random(42);\n\t\tfor (int i = 0; i < 10; i++) {\n\t\t\tmy[i] = rng.nextInt(3);\n\t\t\tout.println(\"RPS\".charAt(my[i]));\n\t\t\tout.flush();\n\t\t\tString s = scanString();\n\t\t\tif (s == null) {\n\t\t\t\treturn;\n\t\t\t}\n\t\t\tswitch (s) {\n\t\t\tcase \"player\":\n\t\t\t\twin[i] = true;\n\t\t\t\tbreak;\n\t\t\tcase \"ai\":\n\t\t\t\twin[i] = false;\n\t\t\t\tbreak;\n\t\t\tdefault:\n\t\t\t\treturn;\n\t\t\t}\n\t\t}\n\t\tint period[] = null, shift = -1;\n\t\tp: for (int p = 1; p <= 4; p++) {\n\t\t\tint cPeriod[] = new int[p];\n\t\t\tfor (int i = 0; i < p; i++) {\n\t\t\t\tboolean can[] = new boolean[3];\n\t\t\t\tfill(can, true);\n\t\t\t\tfor (int j = i; j < 10; j += p) {\n\t\t\t\t\tint t = (my[j] + 2) % 3;\n\t\t\t\t\tint t2 = (t + 1) % 3, t3 = (t + 2) % 3;\n\t\t\t\t\tif (win[j]) {\n\t\t\t\t\t\tcan[t2] = can[t3] = false;\n\t\t\t\t\t} else {\n\t\t\t\t\t\tcan[t] = false;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tif (!can[0] && !can[1] && !can[2]) {\n\t\t\t\t\tcontinue p;\n\t\t\t\t}\n\t\t\t\tcPeriod[i] = can[0] ? 0 : can[1] ? 1 : 2;\n\t\t\t}\n\t\t\tperiod = cPeriod;\n\t\t\tbreak;\n\t\t}\n\t\tif (period == null) {\n\t\t\ti: for (int i = 0; i < 3; i++) {\n\t\t\t\tfor (int j = 0; j < 9; j++) {\n\t\t\t\t\tint shifted = (my[j] + i) % 3;\n\t\t\t\t\tif ((shifted == (my[j + 1] + 2) % 3) != win[j + 1]) {\n\t\t\t\t\t\tcontinue i;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tshift = i;\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n//\t\tSystem.err.println(Arrays.toString(period) + \" \" + shift);\n\t\tfor (int i = 10; i < 20; i++) {\n\t\t\tif (period != null) {\n\t\t\t\tmy[i] = (period[i % period.length] + 1) % 3;\n\t\t\t} else if (shift >= 0) {\n\t\t\t\tmy[i] = (my[i - 1] + shift + 1) % 3;\n\t\t\t} else {\n\t\t\t\tmy[i] = rng.nextInt(3);\n\t\t\t}\n\t\t\tout.println(\"RPS\".charAt(my[i]));\n\t\t\tout.flush();\n\t\t\tString s = scanString();\n\t\t\tif (s == null) {\n\t\t\t\treturn;\n\t\t\t}\n\t\t\tswitch (s) {\n\t\t\tcase \"player\":\n\t\t\t\twin[i] = true;\n\t\t\t\tbreak;\n\t\t\tcase \"ai\":\n\t\t\t\twin[i] = false;\n\t\t\t\tbreak;\n\t\t\tdefault:\n\t\t\t\treturn;\n\t\t\t}\n\t\t}\n\t}\n\n\tstatic int scanInt() throws IOException {\n\t\treturn parseInt(scanString());\n\t}\n\n\tstatic long scanLong() throws IOException {\n\t\treturn parseLong(scanString());\n\t}\n\n\tstatic String scanString() throws IOException {\n\t\twhile (tok == null || !tok.hasMoreTokens()) {\n\t\t\tString l = in.readLine();\n\t\t\tif (l == null) {\n\t\t\t\treturn null;\n\t\t\t}\n\t\t\ttok = new StringTokenizer(l);\n\t\t}\n\t\treturn tok.nextToken();\n\t}\n\n\tstatic BufferedReader in;\n\tstatic PrintWriter out;\n\tstatic StringTokenizer tok;\n\n\tpublic static void main(String[] args) {\n\t\ttry {\n\t\t\tin = new BufferedReader(new InputStreamReader(System.in));\n\t\t\tout = new PrintWriter(System.out);\n\t\t\tsolve();\n\t\t\tin.close();\n\t\t\tout.close();\n\t\t} catch (Throwable e) {\n\t\t\te.printStackTrace();\n\t\t\texit(1);\n\t\t}\n\t}\n}", "python": null }
Codeforces/1166/F
# Vicky's Delivery Service In a magical land there are n cities conveniently numbered 1, 2, ..., n. Some pairs of these cities are connected by magical colored roads. Magic is unstable, so at any time, new roads may appear between two cities. Vicky the witch has been tasked with performing deliveries between some pairs of cities. However, Vicky is a beginner, so she can only complete a delivery if she can move from her starting city to her destination city through a double rainbow. A double rainbow is a sequence of cities c_1, c_2, ..., c_k satisfying the following properties: * For each i with 1 ≤ i ≤ k - 1, the cities c_i and c_{i + 1} are connected by a road. * For each i with 1 ≤ i ≤ (k - 1)/(2), the roads connecting c_{2i} with c_{2i - 1} and c_{2i + 1} have the same color. For example if k = 5, the road between c_1 and c_2 must be the same color as the road between c_2 and c_3, and the road between c_3 and c_4 must be the same color as the road between c_4 and c_5. Vicky has a list of events in chronological order, where each event is either a delivery she must perform, or appearance of a new road. Help her determine which of her deliveries she will be able to complete. Input The first line contains four integers n, m, c, and q (2 ≤ n ≤ 10^5, 1 ≤ m, c, q ≤ 10^5), denoting respectively the number of cities, the number of roads initially present, the number of different colors the roads can take, and the number of events. Each of the following m lines contains three integers x, y, and z (1 ≤ x, y ≤ n, 1 ≤ z ≤ c), describing that there initially exists a bidirectional road with color z between cities x and y. Then q lines follow, describing the events. Each event is one of the following two types: 1. + x y z (1 ≤ x, y ≤ n, 1 ≤ z ≤ c), meaning a road with color z appears between cities x and y; 2. ? x y (1 ≤ x, y ≤ n), meaning you should determine whether Vicky can make a delivery starting at city x and ending at city y. It is guaranteed that x ≠ y. It is guaranteed that at any moment, there is at most one road connecting any pair of cities, and that no road connects a city to itself. It is guaranteed that the input contains at least one event of the second type. Output For each event of the second type, print a single line containing "Yes" (without quotes) if the delivery can be made, or a single line containing "No" (without quotes) otherwise. Example Input 4 3 2 4 1 2 1 2 3 1 3 4 2 ? 1 4 ? 4 1 + 3 1 2 ? 4 1 Output Yes No Yes Note The following picture corresponds to the sample. <image> For her first delivery, Vicky can use the sequence 1, 2, 3, 4 which is a double rainbow. However, she cannot complete the second delivery, as she can only reach city 3. After adding the road between cities 1 and 3, she can now complete a delivery from city 4 to city 1 by using the double rainbow 4, 3, 1.
[ { "input": { "stdin": "4 3 2 4\n1 2 1\n2 3 1\n3 4 2\n? 1 4\n? 4 1\n+ 3 1 2\n? 4 1\n" }, "output": { "stdout": "Yes\nNo\nYes\n" } }, { "input": { "stdin": "2 1 1 5\n2 1 1\n? 2 1\n? 1 2\n? 1 2\n? 2 1\n? 1 2\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 4\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "5 5 3 1\n1 2 1\n2 3 1\n3 4 2\n4 2 2\n2 5 3\n? 1 5\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "10 20 5 20\n8 4 2\n2 10 3\n2 1 1\n9 4 2\n8 5 4\n9 2 4\n5 7 2\n10 3 5\n4 10 4\n7 3 1\n2 7 5\n5 6 3\n4 2 1\n2 5 4\n7 4 5\n10 9 1\n1 9 3\n4 6 1\n4 1 4\n10 5 4\n? 8 2\n? 10 1\n? 8 9\n? 2 10\n? 2 9\n+ 9 8 2\n+ 1 8 1\n? 1 9\n+ 7 8 1\n? 5 3\n? 8 4\n? 7 5\n? 8 3\n? 5 6\n+ 1 7 5\n? 3 6\n? 2 9\n? 3 5\n+ 1 3 1\n? 9 2\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 8 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 4 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 0\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 2 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n2 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 2 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 4 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "5 5 3 1\n1 2 1\n2 3 1\n3 4 2\n1 2 3\n2 5 3\n? 1 5\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "17 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 4\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 20 5 20\n8 4 2\n2 10 3\n2 1 1\n9 3 2\n8 5 4\n9 2 4\n5 7 2\n10 3 5\n4 10 4\n7 3 1\n2 7 5\n5 6 3\n4 2 1\n2 5 4\n7 4 5\n10 9 1\n1 9 3\n4 6 1\n4 1 4\n10 5 3\n? 8 2\n? 10 1\n? 8 9\n? 2 10\n? 2 9\n+ 9 8 2\n+ 1 8 1\n? 1 9\n+ 7 8 1\n? 5 3\n? 8 4\n? 7 5\n? 8 3\n? 5 6\n+ 1 7 5\n? 3 6\n? 2 9\n? 3 5\n+ 1 3 1\n? 9 2\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 10 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 2\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n5 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 10 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 3\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 2\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 0\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 2 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "5 5 3 1\n1 2 1\n2 3 0\n3 4 2\n4 2 2\n2 5 3\n? 1 5\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 4\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 0\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n3 7 3\n3 2 1\n8 3 3\n8 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "5 5 3 1\n1 2 1\n1 3 1\n3 3 2\n1 2 2\n2 5 3\n? 1 5\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "4 3 2 4\n1 2 1\n2 3 1\n3 4 2\n? 1 3\n? 4 2\n+ 3 1 2\n? 4 1\n" }, "output": { "stdout": "Yes\nNo\nYes\n" } }, { "input": { "stdin": "5 5 3 1\n1 2 1\n2 3 1\n3 4 2\n4 1 2\n2 5 3\n? 1 5\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 4\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 0\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n3 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 1 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "5 5 3 1\n1 2 1\n2 3 1\n3 3 2\n1 2 2\n2 5 3\n? 1 5\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n5 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 10 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 3\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 2\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 7\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 8 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 4 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 0\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 20 5 20\n8 4 2\n2 10 3\n2 1 1\n9 4 2\n8 5 4\n9 2 4\n5 7 2\n10 3 5\n4 10 4\n7 3 1\n2 7 5\n5 6 3\n4 2 1\n2 5 4\n7 4 5\n10 9 1\n1 9 3\n4 6 1\n4 1 4\n10 5 4\n? 8 2\n? 10 1\n? 8 9\n? 4 10\n? 2 9\n+ 9 8 2\n+ 1 8 1\n? 1 9\n+ 7 8 1\n? 5 3\n? 8 4\n? 7 5\n? 8 3\n? 5 6\n+ 1 7 5\n? 3 6\n? 2 9\n? 3 5\n+ 1 3 1\n? 9 2\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 2\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 4 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 0\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 4\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 4\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n5 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 0\n10 4 2\n2 4 2\n8 3 1\n7 2 1\n10 7 2\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n5 2 1\n1 9 1\n7 1 2\n7 3 3\n1 2 6\n8 1 3\n9 10 4\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 8\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 2 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 1 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 2\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 1 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 2\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "5 5 3 1\n1 2 1\n2 3 1\n3 4 2\n4 1 2\n2 5 3\n? 1 3\n" }, "output": { "stdout": "Yes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n3 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n3 7 3\n3 2 1\n8 3 3\n8 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 4\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 0\n10 4 2\n2 4 2\n8 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 4\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n2 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 20 5 20\n8 4 2\n2 10 3\n2 1 1\n9 3 2\n8 5 4\n9 2 4\n5 7 2\n10 3 5\n4 10 4\n7 3 1\n2 7 5\n5 6 3\n4 2 1\n2 5 4\n7 4 5\n10 9 1\n1 9 3\n4 6 1\n4 1 4\n10 5 4\n? 8 2\n? 10 1\n? 8 9\n? 2 10\n? 2 9\n+ 9 8 2\n+ 1 8 1\n? 1 9\n+ 7 8 1\n? 5 3\n? 8 4\n? 7 5\n? 8 3\n? 5 6\n+ 1 7 5\n? 3 6\n? 2 9\n? 3 5\n+ 1 3 1\n? 9 2\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 4\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n5 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 0\n10 4 2\n2 4 2\n8 3 1\n7 2 1\n10 7 2\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n5 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 4\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "4 3 3 4\n1 2 1\n2 3 1\n3 4 2\n? 1 4\n? 4 1\n+ 3 1 2\n? 4 1\n" }, "output": { "stdout": "Yes\nNo\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n4 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 1\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 10 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 4\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 8 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 2\n10 6 3\n8 2 1\n8 10 1\n2 5 0\n10 4 2\n2 4 2\n8 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n7 1 2\n8 3 3\n1 2 3\n8 1 3\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 10 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "4 3 2 4\n1 2 1\n2 3 1\n3 4 2\n? 1 4\n? 4 2\n+ 3 1 2\n? 4 1\n" }, "output": { "stdout": "Yes\nNo\nYes\n" } }, { "input": { "stdin": "10 45 3 20\n5 1 2\n4 1 2\n6 4 2\n7 8 1\n9 6 3\n5 10 1\n7 5 3\n5 4 2\n2 6 3\n1 10 2\n5 3 1\n6 3 1\n7 6 1\n6 10 3\n10 2 3\n5 9 2\n7 9 1\n5 6 1\n6 1 2\n4 8 2\n4 9 2\n7 4 3\n10 6 3\n8 2 1\n8 10 1\n2 5 2\n10 4 2\n2 4 2\n10 3 1\n7 2 1\n10 7 3\n2 9 2\n8 5 3\n4 3 3\n3 7 1\n3 2 1\n1 9 1\n8 1 2\n8 3 3\n1 2 3\n8 1 2\n9 10 2\n9 8 1\n9 3 3\n3 1 2\n? 7 8\n? 9 2\n? 7 1\n? 5 10\n? 3 7\n? 8 7\n? 3 2\n? 7 2\n? 6 5\n? 5 4\n? 2 4\n? 7 8\n? 5 3\n? 8 1\n? 8 10\n? 5 3\n? 7 10\n? 5 10\n? 10 9\n? 10 6\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } }, { "input": { "stdin": "10 35 3 30\n4 8 1\n6 8 3\n6 10 1\n1 4 2\n4 7 3\n1 10 2\n7 2 3\n6 2 1\n1 7 2\n3 5 2\n10 4 1\n5 4 2\n9 6 2\n2 4 3\n8 2 2\n7 8 2\n9 1 3\n5 6 1\n9 5 2\n9 2 1\n6 4 2\n9 7 3\n3 2 1\n8 3 3\n5 1 1\n4 3 3\n6 3 1\n4 9 3\n3 1 3\n10 9 2\n1 8 3\n10 5 2\n2 1 1\n2 10 0\n7 6 3\n? 2 8\n? 3 7\n? 6 1\n? 7 8\n? 2 10\n? 2 10\n+ 8 5 1\n+ 1 6 3\n? 8 6\n? 3 4\n? 10 2\n+ 7 3 1\n? 1 3\n? 6 4\n? 9 8\n+ 10 8 1\n+ 5 7 1\n? 8 10\n? 5 2\n+ 5 2 3\n? 4 10\n+ 10 7 1\n? 3 3\n? 8 7\n? 2 10\n+ 8 9 1\n? 10 1\n+ 9 3 1\n+ 3 10 2\n? 10 5\n" }, "output": { "stdout": "Yes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\nYes\n" } } ]
{ "tags": [ "data structures", "dsu", "graphs", "hashing" ], "title": "Vicky's Delivery Service" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int nax = 1e5 + 5;\nint n, m, k, q;\nset<int> zbior[nax];\nint wjakiejskladowejjestem[nax];\nvector<int> skladowe[nax];\nmap<int, int> krawedzie[nax];\nint rozmiar[nax];\nvoid pre() {\n cin >> n >> m >> k >> q;\n for (int i = 1; i <= n; i++) {\n zbior[i].insert(i);\n skladowe[i].push_back(i);\n wjakiejskladowejjestem[i] = i;\n rozmiar[i] = 1;\n }\n}\nvoid dodaj(int v, int u) {\n int V = wjakiejskladowejjestem[v];\n int U = wjakiejskladowejjestem[u];\n if (zbior[v].count(U)) {\n return;\n }\n skladowe[U].push_back(v);\n rozmiar[U]++;\n zbior[v].insert(U);\n}\nvoid debug(int kt) {\n set<int>::iterator it;\n it = zbior[kt].begin();\n while (it != zbior[kt].end()) {\n cout << *it << endl;\n it++;\n }\n cout << \"*********************\" << endl;\n for (int i = 1; i <= n; i++) cout << rozmiar[i] << \" \";\n cout << \"*********************\" << endl;\n}\nvoid query(int v, int u) {\n v = wjakiejskladowejjestem[v];\n if (zbior[u].count(v))\n cout << \"Yes\" << endl;\n else\n cout << \"No\" << endl;\n}\nvoid zrob(int v, int u, int kolor) {\n if (krawedzie[v][kolor] == 0) {\n krawedzie[v][kolor] = u;\n return;\n }\n int A = wjakiejskladowejjestem[u];\n int B = krawedzie[v][kolor];\n B = wjakiejskladowejjestem[B];\n if (A == B) return;\n if (rozmiar[A] < rozmiar[B]) swap(A, B);\n for (int i = 0; i < skladowe[B].size(); i++) {\n int akt = skladowe[B][i];\n zbior[akt].erase(B);\n zbior[akt].insert(A);\n if (wjakiejskladowejjestem[akt] == B) wjakiejskladowejjestem[akt] = A;\n skladowe[A].push_back(akt);\n }\n skladowe[B].clear();\n rozmiar[A] += rozmiar[B];\n rozmiar[B] = 0;\n}\nvoid add_edge(int u, int v, int kolor) {\n dodaj(u, v);\n dodaj(v, u);\n zrob(u, v, kolor);\n zrob(v, u, kolor);\n}\nint main() {\n pre();\n while (m--) {\n int x, y, z;\n cin >> x >> y >> z;\n add_edge(x, y, z);\n }\n while (q--) {\n char zz;\n cin >> zz;\n if (zz == '?') {\n int x, y;\n cin >> x >> y;\n query(x, y);\n } else {\n int x, y, z;\n cin >> x >> y >> z;\n add_edge(x, y, z);\n }\n }\n return 0;\n}\n", "java": "import java.awt.*;\nimport java.io.*;\nimport java.util.*;\n\npublic class Main {\n private boolean eof;\n private BufferedReader br;\n private StringTokenizer st;\n private PrintWriter out;\n\n public static void main(String[] args) throws IOException {\n new Main().run();\n }\n\n private String nextToken() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(br.readLine());\n } catch (Exception e) {\n eof = true;\n return \"-1\";\n }\n }\n return st.nextToken();\n }\n\n private int nextInt() {\n return Integer.parseInt(nextToken());\n }\n\n private long nextLong() {\n return Long.parseLong(nextToken());\n }\n\n private double nextDouble() {\n return Double.parseDouble(nextToken());\n }\n\n private String nextLine() throws IOException {\n return br.readLine();\n }\n\n\n private void run() throws IOException {\n InputStream input = System.in;\n PrintStream output = System.out;\n try {\n File f = new File(\"a.in\");\n if (f.exists() && f.canRead()) {\n input = new FileInputStream(f);\n output = new PrintStream(\"a.out\");\n }\n } catch (Throwable ignored) {\n }\n br = new BufferedReader(new InputStreamReader(input));\n out = new PrintWriter(new PrintWriter(output));\n solve();\n br.close();\n out.close();\n }\n\n\n DSU dsu = new DSU();\n ArrayList<HashMap<Integer, Integer>> roads = new ArrayList<>();\n\n private void solve() {\n int n = nextInt();\n int m = nextInt();\n int c = nextInt();\n int q = nextInt();\n\n for (int i = 0; i <= n; i++) {\n roads.add(new HashMap<>());\n }\n\n for (int i = 0; i < m; i++) {\n int x = nextInt();\n int y = nextInt();\n int color = nextInt();\n addEdge(x, y, color);\n }\n\n for (int i = 0; i < q; i++) {\n char cmd = nextToken().charAt(0);\n int x = nextInt();\n int y = nextInt();\n if (cmd == '+') {\n int color = nextInt();\n addEdge(x, y, color);\n } else {\n if (dsu.getRoot(x) == dsu.getRoot(y) || dsu.getSet(x).contains(y)) {\n out.println(\"Yes\");\n } else {\n out.println(\"No\");\n }\n }\n }\n\n\n }\n\n public void addEdge(int x, int y, int color) {\n// boolean f = false;\n if (roads.get(x).containsKey(color)) {\n dsu.union(roads.get(x).get(color), y);\n dsu.getSet(y).remove(roads.get(x).get(color));\n// f = true;\n }\n if (roads.get(y).containsKey(color)) {\n dsu.union(roads.get(y).get(color), x);\n dsu.getSet(x).remove(roads.get(y).get(color));\n// f = true;\n }\n roads.get(x).put(color, y);\n roads.get(y).put(color, x);\n// if (!f) {\n dsu.getSet(y).add(x);\n dsu.getSet(x).add(y);\n// }\n }\n\n public static class DSU {\n public HashMap<Integer, Integer> parent = new HashMap<>();\n public HashMap<Integer, Integer> rank = new HashMap<>();\n public HashMap<Integer, HashSet<Integer>> sets = new HashMap<>();\n\n DSU() {\n }\n\n public HashSet<Integer> getSet(int v) {\n v = getRoot(v);\n if (!sets.containsKey(v)) {\n sets.put(v, new HashSet<>());\n }\n return sets.get(v);\n }\n\n public int getRoot(int i) {\n if (parent.getOrDefault(i, i) != i) {\n int root = getRoot(parent.getOrDefault(i, i));\n parent.put(i, root);\n }\n return parent.getOrDefault(i, i);\n }\n\n public void union(int i, int j) {\n int rootI = getRoot(i);\n int rootJ = getRoot(j);\n if (rootI == rootJ) return;\n if (getSet(rootI).size() > getSet(rootJ).size()) {\n int c = rootI;\n rootI = rootJ;\n rootJ = c;\n }\n getSet(rootJ).addAll(getSet(rootI));\n parent.put(rootI, rootJ);\n// if (rank.getOrDefault(rootI, 1) < rank.getOrDefault(rootJ, 1)) {\n// parent.put(rootI, rootJ);\n// //////\n// getSet(rootI).addAll(getSet(rootJ));\n// } else {\n// if (rank.getOrDefault(rootI, 1).equals(rank.getOrDefault(rootJ, 1))) {\n// parent.put(rootI, rootJ);\n// rank.put(rootJ, rank.getOrDefault(rootJ, 1) + 1);\n// //////\n// getSet(rootI).addAll(getSet(rootJ));\n// } else {\n// parent.put(rootJ, rootI);\n// //////\n// getSet(rootJ).addAll(getSet(rootI));\n// }\n// }\n }\n }\n}\n", "python": null }
Codeforces/1185/C2
# Exam in BerSU (hard version) The only difference between easy and hard versions is constraints. If you write a solution in Python, then prefer to send it in PyPy to speed up execution time. A session has begun at Beland State University. Many students are taking exams. Polygraph Poligrafovich is going to examine a group of n students. Students will take the exam one-by-one in order from 1-th to n-th. Rules of the exam are following: * The i-th student randomly chooses a ticket. * if this ticket is too hard to the student, he doesn't answer and goes home immediately (this process is so fast that it's considered no time elapses). This student fails the exam. * if the student finds the ticket easy, he spends exactly t_i minutes to pass the exam. After it, he immediately gets a mark and goes home. Students take the exam in the fixed order, one-by-one, without any interruption. At any moment of time, Polygraph Poligrafovich takes the answer from one student. The duration of the whole exam for all students is M minutes (max t_i ≤ M), so students at the end of the list have a greater possibility to run out of time to pass the exam. For each student i, you should count the minimum possible number of students who need to fail the exam so the i-th student has enough time to pass the exam. For each student i, find the answer independently. That is, if when finding the answer for the student i_1 some student j should leave, then while finding the answer for i_2 (i_2>i_1) the student j student does not have to go home. Input The first line of the input contains two integers n and M (1 ≤ n ≤ 2 ⋅ 10^5, 1 ≤ M ≤ 2 ⋅ 10^7) — the number of students and the total duration of the exam in minutes, respectively. The second line of the input contains n integers t_i (1 ≤ t_i ≤ 100) — time in minutes that i-th student spends to answer to a ticket. It's guaranteed that all values of t_i are not greater than M. Output Print n numbers: the i-th number must be equal to the minimum number of students who have to leave the exam in order to i-th student has enough time to pass the exam. Examples Input 7 15 1 2 3 4 5 6 7 Output 0 0 0 0 0 2 3 Input 5 100 80 40 40 40 60 Output 0 1 1 2 3 Note The explanation for the example 1. Please note that the sum of the first five exam times does not exceed M=15 (the sum is 1+2+3+4+5=15). Thus, the first five students can pass the exam even if all the students before them also pass the exam. In other words, the first five numbers in the answer are 0. In order for the 6-th student to pass the exam, it is necessary that at least 2 students must fail it before (for example, the 3-rd and 4-th, then the 6-th will finish its exam in 1+2+5+6=14 minutes, which does not exceed M). In order for the 7-th student to pass the exam, it is necessary that at least 3 students must fail it before (for example, the 2-nd, 5-th and 6-th, then the 7-th will finish its exam in 1+3+4+7=15 minutes, which does not exceed M).
[ { "input": { "stdin": "7 15\n1 2 3 4 5 6 7\n" }, "output": { "stdout": "0 0 0 0 0 2 3 \n" } }, { "input": { "stdin": "5 100\n80 40 40 40 60\n" }, "output": { "stdout": "0 1 1 2 3 \n" } }, { "input": { "stdin": "3 299\n100 100 100\n" }, "output": { "stdout": "0 0 1 \n" } }, { "input": { "stdin": "8 2\n1 1 1 1 1 1 1 1\n" }, "output": { "stdout": "0 0 1 2 3 4 5 6 \n" } }, { "input": { "stdin": "10 50\n9 9 9 9 9 9 9 9 9 9\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5 \n" } }, { "input": { "stdin": "1 100\n100\n" }, "output": { "stdout": "0 \n" } }, { "input": { "stdin": "1 20000000\n100\n" }, "output": { "stdout": "0 \n" } }, { "input": { "stdin": "2 100\n1 100\n" }, "output": { "stdout": "0 1 \n" } }, { "input": { "stdin": "2 100\n100 100\n" }, "output": { "stdout": "0 1 \n" } }, { "input": { "stdin": "1 1\n1\n" }, "output": { "stdout": "0 \n" } }, { "input": { "stdin": "10 50\n10 10 10 10 10 10 10 10 10 10\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5 \n" } }, { "input": { "stdin": "2 100\n1 99\n" }, "output": { "stdout": "0 0 \n" } }, { "input": { "stdin": "1 3\n1\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 50\n3 10 10 10 8 11 5 2 10 15\n" }, "output": { "stdout": "0 0 0 0 0 1 1 1 2 4\n" } }, { "input": { "stdin": "10 50\n9 9 9 9 9 9 9 9 13 9\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5\n" } }, { "input": { "stdin": "2 101\n1 5\n" }, "output": { "stdout": "0 0\n" } }, { "input": { "stdin": "10 50\n10 10 10 9 8 11 10 10 10 10\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5\n" } }, { "input": { "stdin": "7 15\n1 2 3 4 5 12 7\n" }, "output": { "stdout": "0 0 0 0 0 3 3\n" } }, { "input": { "stdin": "10 50\n10 10 1 9 8 10 2 15 3 10\n" }, "output": { "stdout": "0 0 0 0 0 0 0 2 2 3\n" } }, { "input": { "stdin": "1 4\n1\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 50\n10 10 10 10 8 18 10 10 10 3\n" }, "output": { "stdout": "0 0 0 0 0 2 2 3 4 5\n" } }, { "input": { "stdin": "2 110\n2 99\n" }, "output": { "stdout": "0 0\n" } }, { "input": { "stdin": "10 50\n3 10 10 10 8 11 10 10 10 15\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5\n" } }, { "input": { "stdin": "10 50\n10 10 10 16 8 7 10 7 10 3\n" }, "output": { "stdout": "0 0 0 0 1 1 2 3 4 4\n" } }, { "input": { "stdin": "10 50\n10 10 10 10 8 11 10 10 10 10\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5\n" } }, { "input": { "stdin": "10 50\n18 10 20 10 8 11 10 10 10 3\n" }, "output": { "stdout": "0 0 0 1 1 2 2 3 4 5\n" } }, { "input": { "stdin": "10 50\n10 10 10 10 8 10 10 9 10 10\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5\n" } }, { "input": { "stdin": "10 50\n3 10 10 10 8 11 5 10 10 15\n" }, "output": { "stdout": "0 0 0 0 0 1 1 2 3 5\n" } }, { "input": { "stdin": "10 50\n10 10 10 19 8 11 10 10 10 15\n" }, "output": { "stdout": "0 0 0 0 1 1 2 3 4 6\n" } }, { "input": { "stdin": "10 50\n10 10 10 16 8 7 10 5 10 3\n" }, "output": { "stdout": "0 0 0 0 1 1 2 2 3 4\n" } }, { "input": { "stdin": "1 3793271\n100\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2 101\n1 6\n" }, "output": { "stdout": "0 0\n" } }, { "input": { "stdin": "1 4\n2\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 50\n9 9 4 9 9 9 9 9 13 3\n" }, "output": { "stdout": "0 0 0 0 0 0 1 2 4 4\n" } }, { "input": { "stdin": "2 111\n1 6\n" }, "output": { "stdout": "0 0\n" } }, { "input": { "stdin": "5 100\n80 11 20 40 60\n" }, "output": { "stdout": "0 0 1 1 2\n" } }, { "input": { "stdin": "10 50\n27 10 20 13 8 11 10 10 10 3\n" }, "output": { "stdout": "0 0 1 1 2 2 3 3 4 5\n" } }, { "input": { "stdin": "10 50\n10 10 10 16 7 7 10 5 10 3\n" }, "output": { "stdout": "0 0 0 0 1 1 2 2 3 4\n" } }, { "input": { "stdin": "10 50\n3 10 10 10 8 11 5 4 10 19\n" }, "output": { "stdout": "0 0 0 0 0 1 1 1 2 4\n" } }, { "input": { "stdin": "10 17\n9 9 9 9 9 9 9 9 13 9\n" }, "output": { "stdout": "0 1 2 3 4 5 6 7 8 9\n" } }, { "input": { "stdin": "2 101\n1 3\n" }, "output": { "stdout": "0 0\n" } }, { "input": { "stdin": "10 50\n27 10 33 13 8 11 10 10 10 3\n" }, "output": { "stdout": "0 0 1 1 2 2 3 3 4 5\n" } }, { "input": { "stdin": "10 56\n27 10 33 13 8 11 4 10 7 2\n" }, "output": { "stdout": "0 0 1 1 2 2 2 2 3 3\n" } }, { "input": { "stdin": "10 56\n27 10 33 13 8 11 4 10 7 3\n" }, "output": { "stdout": "0 0 1 1 2 2 2 2 3 3\n" } }, { "input": { "stdin": "10 50\n3 10 10 10 8 11 5 7 10 19\n" }, "output": { "stdout": "0 0 0 0 0 1 1 2 3 5\n" } }, { "input": { "stdin": "10 50\n10 10 10 16 8 11 10 5 10 3\n" }, "output": { "stdout": "0 0 0 0 1 1 2 3 4 4\n" } }, { "input": { "stdin": "10 50\n3 10 10 10 8 11 5 4 10 15\n" }, "output": { "stdout": "0 0 0 0 0 1 1 1 2 4\n" } }, { "input": { "stdin": "10 50\n9 9 9 9 9 9 9 9 13 6\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5\n" } }, { "input": { "stdin": "10 56\n27 10 33 13 8 11 10 10 7 3\n" }, "output": { "stdout": "0 0 1 1 2 2 2 3 3 4\n" } }, { "input": { "stdin": "10 50\n3 10 10 15 8 11 10 10 10 15\n" }, "output": { "stdout": "0 0 0 0 0 1 2 3 4 5\n" } } ]
{ "tags": [ "brute force", "data structures", "greedy", "math" ], "title": "Exam in BerSU (hard version)" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = 500005;\nint qtd[110];\nint main() {\n int n, m;\n scanf(\"%d %d\", &n, &m);\n int sum = 0;\n for (int i = 0; i < n; i++) {\n if (i) printf(\" \");\n int x;\n scanf(\"%d\", &x);\n sum += x;\n int resp = 0;\n if (sum > m) {\n int dif = sum - m;\n for (int i = 100; i >= 1; i--) {\n if (qtd[i] * i >= dif) {\n resp += ((dif / i) + ((dif % i != 0) ? 1 : 0));\n break;\n } else {\n resp += qtd[i];\n dif -= (qtd[i] * i);\n }\n }\n }\n printf(\"%d\", resp);\n qtd[x]++;\n }\n puts(\"\");\n}\n", "java": "\nimport java.io.*;\nimport java.math.BigInteger;\nimport java.util.*;\nimport java.lang.*;\nimport static java.lang.Math.*;\n\npublic class TaskC implements Runnable {\n long m = (int)1e9+7;\n InputReader c;\n PrintWriter w;\n\n int a[];\n int x, k,n;\n long ans2;\n\n public void run() {\n c = new InputReader(System.in);\n w = new PrintWriter(System.out);\n\n int n = c.nextInt(), m =c.nextInt();\n int a[] = scanArrayI(n);\n\n int freq[] = new int[101];\n int sum = 0;\n for(int i=0;i<n;i++){\n sum += a[i];\n int temp = 0;\n int ptr = 100;\n int res = 0;\n while (sum - temp > m){\n int req = (sum - temp) - m;\n if(sum - temp - freq[ptr]*ptr <=m){\n res += ceil(req/(double)ptr);\n break;\n }\n else {\n temp += freq[ptr] * ptr;\n res+= freq[ptr];\n ptr--;\n }\n }\n w.print(res+\" \");\n freq[a[i]]++;\n\n }\n\n w.close();\n }\n\n\n class pair implements Comparable<pair>{\n int val, diff, ind;\n\n public pair(int val, int diff, int ind) {\n this.val = val;\n this.diff = diff;\n this.ind = ind;\n }\n\n @Override\n public int compareTo(pair o) {\n return o.diff - this.diff;\n }\n }\n public static void sortbyColumn(int arr[][], int col){\n Arrays.sort(arr, new Comparator<int[]>()\n {\n public int compare(int[] o1, int[] o2){\n return(Integer.valueOf(o1[col]).compareTo(o2[col]));\n }\n });\n\n }\n static long gcd(long a, long b){\n if (b == 0)\n return a;\n return gcd(b, a % b);\n }\n public static class DJSet {\n public int[] upper;\n\n public DJSet(int n) {\n upper = new int[n];\n Arrays.fill(upper, -1);\n }\n\n public int root(int x) {\n return upper[x] < 0 ? x : (upper[x] = root(upper[x]));\n }\n\n public boolean equiv(int x, int y) {\n return root(x) == root(y);\n }\n\n public boolean union(int x, int y) {\n x = root(x);\n y = root(y);\n if (x != y) {\n if (upper[y] < upper[x]) {\n int d = x;\n x = y;\n y = d;\n }\n upper[x] += upper[y];\n upper[y] = x;\n }\n return x == y;\n }\n }\n public static int[] radixSort(int[] f) {\n int[] to = new int[f.length];\n {\n int[] b = new int[65537];\n for(int i = 0;i < f.length;i++)b[1+(f[i]&0xffff)]++;\n for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];\n for(int i = 0;i < f.length;i++)to[b[f[i]&0xffff]++] = f[i];\n int[] d = f; f = to;to = d;\n }\n {\n int[] b = new int[65537];\n for(int i = 0;i < f.length;i++)b[1+(f[i]>>>16)]++;\n for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];\n for(int i = 0;i < f.length;i++)to[b[f[i]>>>16]++] = f[i];\n int[] d = f; f = to;to = d;\n }\n return f;\n }\n public void printArray(int[] a){\n for(int i=0;i<a.length;i++)\n w.print(a[i]+\" \");\n w.println();\n }\n public int[] scanArrayI(int n){\n int a[] = new int[n];\n for(int i=0;i<n;i++)\n a[i] = c.nextInt();\n return a;\n }\n public long[] scanArrayL(int n){\n long a[] = new long[n];\n for(int i=0;i<n;i++)\n a[i] = c.nextLong();\n return a;\n }\n public void printArray(long[] a){\n for(int i=0;i<a.length;i++)\n w.print(a[i]+\" \");\n w.println();\n }\n static class InputReader {\n private InputStream stream;\n private byte[] buf = new byte[1024];\n private int curChar;\n private int numChars;\n private SpaceCharFilter filter;\n private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n\n public InputReader(InputStream stream) {\n this.stream = stream;\n }\n\n public int read() {\n if (numChars==-1)\n throw new InputMismatchException();\n\n if (curChar >= numChars) {\n curChar = 0;\n try {\n numChars = stream.read(buf);\n }\n catch (IOException e) {\n throw new InputMismatchException();\n }\n\n if(numChars <= 0)\n return -1;\n }\n return buf[curChar++];\n }\n\n public String nextLine() {\n String str = \"\";\n try {\n str = br.readLine();\n }\n catch (IOException e) {\n e.printStackTrace();\n }\n return str;\n }\n public int nextInt() {\n int c = read();\n\n while(isSpaceChar(c))\n c = read();\n\n int sgn = 1;\n\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n\n int res = 0;\n do {\n if(c<'0'||c>'9')\n throw new InputMismatchException();\n res *= 10;\n res += c - '0';\n c = read();\n }\n while (!isSpaceChar(c));\n\n return res * sgn;\n }\n\n public long nextLong() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n long res = 0;\n\n do {\n if (c < '0' || c > '9')\n throw new InputMismatchException();\n res *= 10;\n res += c - '0';\n c = read();\n }\n while (!isSpaceChar(c));\n return res * sgn;\n }\n\n public double nextDouble() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n double res = 0;\n while (!isSpaceChar(c) && c != '.') {\n if (c == 'e' || c == 'E')\n return res * Math.pow(10, nextInt());\n if (c < '0' || c > '9')\n throw new InputMismatchException();\n res *= 10;\n res += c - '0';\n c = read();\n }\n if (c == '.') {\n c = read();\n double m = 1;\n while (!isSpaceChar(c)) {\n if (c == 'e' || c == 'E')\n return res * Math.pow(10, nextInt());\n if (c < '0' || c > '9')\n throw new InputMismatchException();\n m /= 10;\n res += (c - '0') * m;\n c = read();\n }\n }\n return res * sgn;\n }\n\n public String readString() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n StringBuilder res = new StringBuilder();\n do {\n res.appendCodePoint(c);\n c = read();\n }\n while (!isSpaceChar(c));\n\n return res.toString();\n }\n\n public boolean isSpaceChar(int c) {\n if (filter != null)\n return filter.isSpaceChar(c);\n return c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n }\n\n public String next() {\n return readString();\n }\n\n public interface SpaceCharFilter {\n public boolean isSpaceChar(int ch);\n }\n }\n public static void main(String args[]) throws Exception {\n new Thread(null, new TaskC(),\"TaskC\",1<<26).start();\n }\n}", "python": "#Code by Sounak, IIESTS\n#------------------------------warmup----------------------------\n\nimport os\nimport sys\nimport math\nfrom io import BytesIO, IOBase\nfrom fractions import Fraction\nimport collections\nfrom itertools import permutations\nfrom collections import defaultdict\n\n\nBUFSIZE = 8192\n \n \nclass FastIO(IOBase):\n newlines = 0\n \n def __init__(self, file):\n self._fd = file.fileno()\n self.buffer = BytesIO()\n self.writable = \"x\" in file.mode or \"r\" not in file.mode\n self.write = self.buffer.write if self.writable else None\n \n def read(self):\n while True:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n if not b:\n break\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines = 0\n return self.buffer.read()\n \n def readline(self):\n while self.newlines == 0:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.newlines = b.count(b\"\\n\") + (not b)\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines -= 1\n return self.buffer.readline()\n \n def flush(self):\n if self.writable:\n os.write(self._fd, self.buffer.getvalue())\n self.buffer.truncate(0), self.buffer.seek(0)\n \n \nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n self.write = lambda s: self.buffer.write(s.encode(\"ascii\"))\n self.read = lambda: self.buffer.read().decode(\"ascii\")\n self.readline = lambda: self.buffer.readline().decode(\"ascii\")\n \nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\n\n#-------------------game starts now-----------------------------------------------------\nn,t=map(int,input().split())\na=list(map(int,input().split()))\ncount=[0]*101\ns=0\nres=list()\nfor i in a:\n if i+s<=t:\n res.append(0)\n else:\n d=i+s-t\n ct=0\n for j in range (100,0,-1):\n if count[j]>0:\n m=min(count[j],math.ceil(d/j))\n ct+=m\n d-=m*j\n if d<=0:\n break\n res.append(ct)\n count[i]+=1\n s+=i\nprint(*res)" }
Codeforces/1204/A
# BowWow and the Timetable In the city of Saint Petersburg, a day lasts for 2^{100} minutes. From the main station of Saint Petersburg, a train departs after 1 minute, 4 minutes, 16 minutes, and so on; in other words, the train departs at time 4^k for each integer k ≥ 0. Team BowWow has arrived at the station at the time s and it is trying to count how many trains have they missed; in other words, the number of trains that have departed strictly before time s. For example if s = 20, then they missed trains which have departed at 1, 4 and 16. As you are the only one who knows the time, help them! Note that the number s will be given you in a [binary representation](https://en.wikipedia.org/wiki/Binary_number#Representation) without leading zeroes. Input The first line contains a single binary number s (0 ≤ s < 2^{100}) without leading zeroes. Output Output a single number — the number of trains which have departed strictly before the time s. Examples Input 100000000 Output 4 Input 101 Output 2 Input 10100 Output 3 Note In the first example 100000000_2 = 256_{10}, missed trains have departed at 1, 4, 16 and 64. In the second example 101_2 = 5_{10}, trains have departed at 1 and 4. The third example is explained in the statements.
[ { "input": { "stdin": "100000000\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "101\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "10100\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "10001000011101100\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "100\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "110\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1111010010000101100100001110011101111\n" }, "output": { "stdout": "19\n" } }, { "input": { "stdin": "10000\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001\n" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "111100001001101011111000101000000100001101100100110011110011101011101100000000000110010011100101010\n" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001\n" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "1010\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1010111000101\n" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "10000000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "26\n" } }, { "input": { "stdin": "11010011011\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "101011000111000110001101101011100011001111001110010010000101100111100101001101111101111001010\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "1000\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "10001010110110010110011110001010001000001\n" }, "output": { "stdout": "21\n" } }, { "input": { "stdin": "1000010011100010111000001101000011001010011101011001101100000001011011000000101101101011101111011011\n" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001\n" }, "output": { "stdout": "48\n" } }, { "input": { "stdin": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "1000000000000000000000000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "35\n" } }, { "input": { "stdin": "10000000000000000000000000000000000000000\n" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "48\n" } }, { "input": { "stdin": "1010111110011010101111001\n" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "1110001001\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "10011011100001110011101001100010011111011010010101101000000101100110101010001100011111100110101101\n" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "11000\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1111010\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "11\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "100000000000000000000000000000000000000000000\n" }, "output": { "stdout": "22\n" } }, { "input": { "stdin": "0\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1000000000000000000000000000000000000000000\n" }, "output": { "stdout": "21\n" } }, { "input": { "stdin": "100000000000000000000000000000000000000000000000000000000000000000000000000000001\n" }, "output": { "stdout": "41\n" } }, { "input": { "stdin": "11010\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "100000000000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "28\n" } }, { "input": { "stdin": "111100000000100111111011110000110100101011001011001101001100000010010111010010111010010001011\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "1100000\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "11110010110000101001001101010111110101101111001000100100101111011\n" }, "output": { "stdout": "33\n" } }, { "input": { "stdin": "100000\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "100000000000000000000101111000111011111\n" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "1000000000000000000000000000000000000000000000000\n" }, "output": { "stdout": "24\n" } }, { "input": { "stdin": "10010\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "11010100100011101110010001110011111011110011101001011100001011100\n" }, "output": { "stdout": "33\n" } }, { "input": { "stdin": "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n" }, "output": { "stdout": "49\n" } } ]
{ "tags": [ "math" ], "title": "BowWow and the Timetable" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int t;\n int i, j, k;\n string s;\n cin >> s;\n for (i = 0; i < s.length(); i++) {\n if (s[i] == '1') k++;\n }\n if (k > 1)\n cout << (s.length() + 1) / 2;\n else\n cout << (s.length()) / 2;\n return 0;\n}\n", "java": "import java.util.Scanner;\n\npublic class Main {\n\t\n\tprivate static boolean check(String string) {\n\t\tfor (int i = 1;i < string.length();i ++) {\n\t\t\tif (string.charAt(i) != '0') {\n\t\t\t\treturn false;\n\t\t\t}\n\t\t}\n\t\treturn (string.length() - 1) % 2 == 0;\n\t}\n\n\tpublic static void main(String[] args) {\t\t\n\t\t\n\t\tScanner scan = new Scanner(System.in);\n\t\t\n\t\tString string = scan.next();\n\t\tif (string.equals(\"0\")) {\n\t\t\tSystem.out.println(0);\n\t\t} else {\t\t\t\n\t\t\tint length = string.length();\n\t\t\tint total = (length - 1) / 2 + 1;\n\t\t\tif (check(string)) {\n\t\t\t\ttotal --;\n\t\t\t}\n\t\t\tSystem.out.println(total);\n\t\t}\n\t\t\n\t}\n\t\n}\n\n\n\n\n\n ", "python": "s=input()\nif(s=='0' or s=='1'):\n print(\"0\")\nelif(s.count('0')==len(s)-1 and s.count('0')%2==0):\n print((len(s)-1)//2)\nelse:\n print(((len(s)-1)//2)+1)" }
Codeforces/1220/F
# Gardener Alex Gardener Alex loves to grow trees. We remind that tree is a connected acyclic graph on n vertices. Today he decided to grow a rooted binary tree. A binary tree is a tree where any vertex has no more than two sons. Luckily, Alex has a permutation of numbers from 1 to n which he was presented at his last birthday, so he decided to grow a tree according to this permutation. To do so he does the following process: he finds a minimum element and makes it a root of the tree. After that permutation is divided into two parts: everything that is to the left of the minimum element, and everything that is to the right. The minimum element on the left part becomes the left son of the root, and the minimum element on the right part becomes the right son of the root. After that, this process is repeated recursively on both parts. Now Alex wants to grow a forest of trees: one tree for each cyclic shift of the permutation. He is interested in what cyclic shift gives the tree of minimum depth. Unfortunately, growing a forest is a hard and long process, but Alex wants the answer right now. Will you help him? We remind that cyclic shift of permutation a_1, a_2, …, a_k, …, a_n for k elements to the left is the permutation a_{k + 1}, a_{k + 2}, …, a_n, a_1, a_2, …, a_k. Input First line contains an integer number n ~ (1 ⩽ n ⩽ 200 000) — length of the permutation. Second line contains n integer numbers a_1, a_2, …, a_n ~ (1 ⩽ a_i ⩽ n), and it is guaranteed that all numbers occur exactly one time. Output Print two numbers separated with space: minimum possible depth of a tree and how many elements we need to shift left to achieve this depth. The number of elements should be a number from 0 to n - 1. If there are several possible answers, print any of them. Example Input 4 1 2 3 4 Output 3 2 Note The following picture depicts all possible trees for sample test and cyclic shifts on which they are achieved. <image>
[ { "input": { "stdin": "4\n1 2 3 4\n" }, "output": { "stdout": "3 2\n" } }, { "input": { "stdin": "127\n1 70 69 71 68 73 72 74 67 77 76 78 75 80 79 81 66 85 84 86 83 88 87 89 82 92 91 93 90 95 94 96 65 101 100 102 99 104 103 105 98 108 107 109 106 111 110 112 97 116 115 117 114 119 118 120 113 123 122 124 121 126 125 127 7 6 8 5 10 9 11 4 14 13 15 12 17 16 18 3 22 21 23 20 25 24 26 19 29 28 30 27 32 31 33 2 38 37 39 36 41 40 42 35 45 44 46 43 48 47 49 34 53 52 54 51 56 55 57 50 60 59 61 58 63 62 64\n" }, "output": { "stdout": "7 64\n" } }, { "input": { "stdin": "10\n7 5 1 6 10 3 4 8 9 2\n" }, "output": { "stdout": "4 7\n" } }, { "input": { "stdin": "100\n60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59\n" }, "output": { "stdout": "51 91\n" } }, { "input": { "stdin": "100\n66 29 41 64 11 8 70 67 58 55 92 93 10 77 86 39 33 97 83 26 6 30 40 1 48 34 90 61 28 20 56 49 23 96 89 75 63 42 73 7 68 81 15 65 60 85 76 51 50 31 2 12 14 57 4 95 88 87 79 52 80 78 37 43 13 74 53 46 99 35 54 18 3 22 84 9 38 45 25 21 62 72 71 16 100 32 59 47 94 82 91 44 36 98 24 5 69 19 27 17\n" }, "output": { "stdout": "11 73\n" } }, { "input": { "stdin": "127\n116 115 117 114 119 118 120 113 123 122 124 121 126 125 127 7 6 8 5 10 9 11 4 14 13 15 12 17 16 18 3 22 21 23 20 25 24 26 19 29 28 30 27 32 31 33 2 38 37 39 36 41 40 42 35 45 44 46 43 48 47 49 34 53 52 54 51 56 55 57 50 60 59 61 58 63 62 64 1 70 69 71 68 73 72 74 67 77 76 78 75 80 79 81 66 85 84 86 83 88 87 89 82 92 91 93 90 95 94 96 65 101 100 102 99 104 103 105 98 108 107 109 106 111 110 112 97\n" }, "output": { "stdout": "7 15\n" } }, { "input": { "stdin": "10\n2 3 4 5 6 7 8 9 10 1\n" }, "output": { "stdout": "6 4\n" } }, { "input": { "stdin": "15\n1 11 10 12 9 14 13 15 4 3 5 2 7 6 8\n" }, "output": { "stdout": "4 8\n" } }, { "input": { "stdin": "100\n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17\n" }, "output": { "stdout": "51 33\n" } }, { "input": { "stdin": "100\n30 99 96 51 67 72 33 35 93 70 25 24 6 9 22 83 86 5 79 46 29 88 66 20 87 47 45 71 48 52 61 37 19 40 44 11 8 42 63 92 31 94 2 4 28 77 21 75 13 95 76 14 53 69 54 38 59 60 98 55 39 68 85 23 15 18 58 78 43 49 16 1 82 91 7 84 34 89 17 27 90 26 36 81 64 74 50 57 10 73 12 62 3 100 80 32 56 41 97 65\n" }, "output": { "stdout": "13 0\n" } }, { "input": { "stdin": "10\n4 2 6 3 1 9 10 5 8 7\n" }, "output": { "stdout": "4 0\n" } }, { "input": { "stdin": "100\n39 8 87 59 49 19 6 64 81 26 90 58 30 93 51 94 91 10 37 68 14 86 75 41 15 73 76 85 13 84 34 25 54 92 23 11 99 53 80 74 22 29 20 79 7 66 62 72 28 71 12 48 18 9 78 38 43 47 5 50 77 82 52 96 97 65 55 88 16 45 69 4 61 42 60 100 24 32 57 21 89 70 27 35 98 83 56 40 46 44 1 2 3 17 31 95 36 67 63 33\n" }, "output": { "stdout": "11 18\n" } }, { "input": { "stdin": "15\n11 10 12 9 14 13 15 4 3 5 2 7 6 8 1\n" }, "output": { "stdout": "4 7\n" } }, { "input": { "stdin": "10\n1 2 3 4 5 6 7 8 9 10\n" }, "output": { "stdout": "6 5\n" } }, { "input": { "stdin": "10\n2 4 5 1 7 8 6 9 10 3\n" }, "output": { "stdout": "4 8\n" } }, { "input": { "stdin": "100\n96 36 10 82 40 33 43 91 8 14 84 95 93 62 47 4 22 94 78 83 16 32 48 34 46 67 45 37 18 25 59 5 20 81 58 26 85 90 77 17 98 3 30 11 49 65 15 28 19 53 1 12 99 71 100 31 66 89 13 7 73 39 2 68 6 86 55 92 41 87 29 57 23 80 88 54 42 79 51 56 69 60 38 50 63 72 70 76 61 97 9 27 21 35 24 44 64 52 74 75\n" }, "output": { "stdout": "12 0\n" } }, { "input": { "stdin": "1\n1\n" }, "output": { "stdout": "1 0\n" } }, { "input": { "stdin": "10\n8 9 10 1 2 3 4 5 6 7\n" }, "output": { "stdout": "6 8\n" } }, { "input": { "stdin": "127\n7 6 8 5 10 9 11 4 14 13 15 12 17 16 18 3 22 21 23 20 25 24 26 19 29 28 30 27 32 31 33 2 38 37 39 36 41 40 42 35 45 44 46 43 48 47 49 34 53 52 54 51 56 55 57 50 60 59 61 58 63 62 64 1 70 69 71 68 73 72 74 67 77 76 78 75 80 79 81 66 85 84 86 83 88 87 89 82 92 91 93 90 95 94 96 65 101 100 102 99 104 103 105 98 108 107 109 106 111 110 112 97 116 115 117 114 119 118 120 113 123 122 124 121 126 125 127\n" }, "output": { "stdout": "7 0\n" } }, { "input": { "stdin": "100\n15 22 23 21 25 24 26 2 30 31 29 32 33 28 35 36 34 37 38 27 41 42 40 43 44 39 46 47 45 49 48 50 1 55 56 54 57 58 53 60 61 59 62 63 52 66 67 65 68 69 64 71 72 70 74 73 75 51 79 80 78 81 82 77 84 85 83 87 86 88 76 91 92 90 93 94 89 96 97 95 99 98 100 6 7 5 8 9 4 11 12 10 13 14 3 17 18 16 19 20\n" }, "output": { "stdout": "7 82\n" } }, { "input": { "stdin": "10\n7 5 4 10 8 2 3 9 6 1\n" }, "output": { "stdout": "5 0\n" } }, { "input": { "stdin": "10\n5 6 8 3 1 10 4 7 2 9\n" }, "output": { "stdout": "4 1\n" } }, { "input": { "stdin": "6\n6 5 3 1 4 2\n" }, "output": { "stdout": "3 1\n" } }, { "input": { "stdin": "15\n4 3 5 2 7 6 8 1 11 10 12 9 14 13 15\n" }, "output": { "stdout": "4 0\n" } }, { "input": { "stdin": "10\n6 9 2 4 1 10 3 7 8 5\n" }, "output": { "stdout": "5 0\n" } }, { "input": { "stdin": "100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n" }, "output": { "stdout": "51 50\n" } }, { "input": { "stdin": "100\n51 69 70 74 92 98 95 56 57 93 62 89 21 15 30 80 68 83 76 53 4 47 49 71 24 78 48 2 39 59 35 25 64 3 7 1 87 22 88 58 26 65 6 43 72 13 11 27 37 18 82 12 28 90 85 40 32 38 86 61 20 16 42 100 94 54 96 60 77 9 17 41 73 97 23 34 5 52 63 75 36 44 91 66 99 29 50 79 84 45 31 10 46 33 55 81 14 67 19 8\n" }, "output": { "stdout": "13 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{ "tags": [ "binary search", "data structures" ], "title": "Gardener Alex" }
{ "cpp": "#include <bits/stdc++.h>\n#pragma optimize(\"TKACHENKO-GORYACHENKO\")\n#pragma GCC optimize(\"O3\")\nusing namespace std;\nconst long long maxn = 2e5 + 100;\nconst long long inf = 1e15;\nlong long n, m, k;\nlong long V[4 * maxn];\nvector<long long> A;\nvector<long long> A1;\nlong long C[maxn];\nvoid build(long long v, long long tl, long long tr) {\n if (tl == tr) {\n V[v] = A[tl];\n return;\n }\n long long tm = (tl + tr) / 2;\n build(2 * v, tl, tm);\n build(2 * v + 1, tm + 1, tr);\n V[v] = min(V[2 * v], V[2 * v + 1]);\n}\nlong long getmn(long long v, long long tl, long long tr, long long l,\n long long r) {\n if (l > tr || tl > r || l > r) {\n return inf;\n }\n if (tl == l && tr == r) {\n return V[v];\n }\n long long tm = (tl + tr) / 2;\n long long mn1 = getmn(2 * v, tl, tm, l, min(r, tm));\n long long mn2 = getmn(2 * v + 1, tm + 1, tr, max(l, tm + 1), r);\n return min(mn1, mn2);\n}\nlong long root;\nlong long hl, hr;\nlong long C1[maxn];\nvoid bld(long long p, long long l, long long r, bool is_left_part,\n long long h) {\n if (l > r) {\n return;\n }\n long long mn = getmn(1, 0, n - 1, l, r);\n long long mni = C1[mn];\n if (is_left_part) {\n hl = max(hl, h);\n } else {\n hr = max(hr, h);\n }\n bool is_left_part1 = is_left_part, is_left_part2 = is_left_part;\n if (p == -1) {\n is_left_part1 = 1;\n is_left_part2 = 0;\n }\n bld(mn, l, mni - 1, is_left_part1, h + 1);\n bld(mn, mni + 1, r, is_left_part2, h + 1);\n}\nlong long ans = inf, ansi = 0;\nvoid shift(long long i) {\n reverse(A.begin(), A.begin() + n - i);\n reverse(A.begin() + n - i, A.end());\n reverse(A.begin(), A.end());\n}\nvoid make_tree(long long i) {\n hl = hr = 0;\n shift((i - C[0] + n) % n);\n for (long long q = 0; q < n; q++) {\n C1[A[q]] = q;\n }\n build(1, 0, n - 1);\n bld(-1, 0, n - 1, 0, 0);\n if (max(hl, hr) < ans) {\n ansi = (i - C[0] + n) % n;\n }\n ans = min(ans, max(hl, hr));\n A = A1;\n}\nint main() {\n long long q, w, e, t, a, b, c;\n cin >> n;\n A.resize(n);\n for (q = 0; q < n; q++) {\n cin >> A[q];\n A[q]--;\n C[A[q]] = q;\n }\n A1 = A;\n long long L = 0, R = n, M;\n while (R - L > 1) {\n M = (L + R) / 2;\n make_tree(M);\n if (hl > hr) {\n R = M;\n } else {\n L = M;\n }\n }\n make_tree(L);\n cout << ans + 1 << \" \" << (n - ansi) % n << endl;\n return 0;\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\n\npublic class Main {\n static int inf = (int) (1e9 + 7);\n static int n;\n\n static int[] pref(int a[]) {\n ArrayDeque<Integer> id = new ArrayDeque<>();\n ArrayDeque<Integer> h = new ArrayDeque<>();\n int res[] = new int [a.length];\n for(int i = 0;i < a.length;i++) {\n while(!id.isEmpty() && a[id.getLast()] > a[i]) {\n id.pollLast();\n int q = h.pollLast();\n if (!h.isEmpty()) {\n q = Math.max(q, h.pollLast());\n h.add(q);\n }\n }\n if (!id.isEmpty()) {\n int temp = h.pollLast();\n h.add(temp + 1);\n }\n\n\n res[i] = h.size() + 1;\n if (i != 0) res[i] = res[i - 1];\n\n if (i != 0) res[i] = Math.max(res[i], (h.isEmpty() ? res[i - 1] + 1 : h.peekLast()));\n\n id.add(i);\n h.add(h.size() + 1);\n }\n\n return res;\n }\n\n static int[] reverse(int b[]) {\n int res[] = new int [b.length];\n for(int i = 0;i < b.length;i++) res[i] = b[b.length - i - 1];\n return res;\n }\n\n static void solve() throws IOException {\n n = sc.nextInt();\n if (n == 1) {\n pw.println(1 + \" \" + 0);\n return;\n }\n\n int temp[] = new int [n];\n for(int i = 0;i < n;i++) temp[i] = sc.nextInt();\n int a[] = new int [n - 1];\n int temp1 = 0;\n\n int id_one = 0;\n for(int i = 0;i < n;i++) if (temp[i] == 1)id_one = i;\n for(int i = id_one + 1;i < n;i++) a[temp1++] = temp[i];\n for(int i = 0;i < id_one;i++) a[temp1++] = temp[i];\n\n int pref[] = pref(a);\n int suf[] = reverse(pref(reverse(a)));\n\n\n int min_id = -1;\n int min = suf[0];\n\n for(int i = 0;i < pref.length;i++) {\n int num = pref[i];\n if (i != pref.length - 1) num = Math.max(num, suf[i + 1]);\n\n if (num < min) {\n min = num;\n min_id = i;\n }\n }\n\n int sec = (id_one + 1 + min_id + 1) % n;\n\n pw.print(min + 1 + \" \" + sec);\n }\n\n\n\n\n public static void main(String[] args) throws IOException {\n sc = new Scanner(System.in);\n pw = new PrintWriter(System.out);\n solve();\n pw.close();\n }\n\n static Scanner sc;\n static PrintWriter pw;\n\n static class Scanner {\n BufferedReader br;\n StringTokenizer st = new StringTokenizer(\"\");\n\n Scanner(InputStream in) throws FileNotFoundException {\n br = new BufferedReader(new InputStreamReader(in));\n }\n\n Scanner(String in) throws FileNotFoundException {\n br = new BufferedReader(new FileReader(in));\n }\n\n String next() throws IOException {\n while (!st.hasMoreTokens()) st = new StringTokenizer(br.readLine());\n return st.nextToken();\n }\n\n int nextInt() throws IOException {\n return Integer.parseInt(next());\n }\n\n long nextLong() throws IOException {\n return Long.parseLong(next());\n }\n\n double nextDouble() throws IOException {\n return Double.parseDouble(next());\n }\n }\n\n}", "python": null }
Codeforces/1246/B
# Power Products You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The first line contains two integers n and k (2 ≤ n ≤ 10^5, 2 ≤ k ≤ 100). The second line contains n integers a_1, …, a_n (1 ≤ a_i ≤ 10^5). Output Print a single integer — the number of suitable pairs. Example Input 6 3 1 3 9 8 24 1 Output 5 Note In the sample case, the suitable pairs are: * a_1 ⋅ a_4 = 8 = 2^3; * a_1 ⋅ a_6 = 1 = 1^3; * a_2 ⋅ a_3 = 27 = 3^3; * a_3 ⋅ a_5 = 216 = 6^3; * a_4 ⋅ a_6 = 8 = 2^3.
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89 86 58 30 67 73 72 69 68 47 30 7 89 41 17 93 45 6 4 23 73 36 10 34 73 74 45 27\n" }, "output": { "stdout": "27\n" } }, { "input": { "stdin": "6 4\n1 3 3 8 24 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "100 3\n94 94 83 27 80 73 61 38 34 95 72 96 59 36 78 15 83 78 39 22 21 57 54 59 9 32 81 64 94 90 67 41 18 58 93 76 44 62 77 61 2 70 39 73 81 57 43 31 27 85 36 26 58 26 75 23 66 53 3 14 40 67 53 19 70 81 98 12 91 15 92 90 89 86 58 30 67 73 72 69 68 47 30 7 89 41 17 93 45 6 4 23 73 36 10 34 73 74 45 27\n" }, "output": { "stdout": "29\n" } }, { "input": { "stdin": "100 4\n94 94 83 27 80 73 61 38 34 95 72 96 59 36 52 15 122 78 39 22 21 57 54 59 9 32 81 64 51 90 67 41 12 58 93 76 44 62 42 61 31 70 39 73 111 57 43 31 27 85 36 26 58 48 35 23 124 53 3 14 40 67 53 19 70 81 98 12 91 15 92 90 89 86 58 30 67 73 72 69 68 47 30 7 26 41 17 97 45 6 4 23 13 36 10 35 73 74 45 52\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "100 3\n94 94 83 27 80 73 61 38 34 95 72 96 59 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{ "tags": [ "hashing", "math", "number theory" ], "title": "Power Products" }
{ "cpp": "#include <bits/stdc++.h>\nstd::vector<uint_fast64_t> get_primes_linear(uint_fast64_t limit) {\n std::vector<uint_fast64_t> lp(limit + 1);\n std::vector<uint_fast64_t> pr;\n for (uint_fast64_t i = 2; i <= limit; ++i) {\n if (lp[i] == 0) {\n lp[i] = i;\n pr.push_back(i);\n }\n for (uint_fast64_t j = 0;\n j < pr.size() && pr[j] <= lp[i] && i * pr[j] <= limit; ++j)\n lp[i * pr[j]] = pr[j];\n }\n return pr;\n}\nuint_fast64_t binpow(uint_fast64_t a, uint_fast64_t n) {\n uint_fast64_t res = 1;\n while (n) {\n if (n & 1) res *= a;\n a *= a;\n n >>= 1;\n }\n return res;\n}\nint main() {\n std::ios_base::sync_with_stdio(false);\n std::cin.tie(nullptr);\n uint_fast64_t n, k, t;\n std::cin >> n >> k;\n std::vector<uint_fast64_t> a(n, 0);\n std::map<uint_fast64_t, uint_fast64_t> as;\n std::map<uint_fast64_t, uint_fast64_t> comp;\n for (uint_fast64_t i = 0; i < n; ++i) {\n std::cin >> a[i];\n }\n auto ps = get_primes_linear(100000);\n for (auto num : a) {\n uint_fast64_t res = 1, comple = 1;\n for (auto &p : ps) {\n if (num < p) break;\n uint_fast64_t pow = 0;\n while (num % p == 0) {\n num /= p;\n ++pow;\n }\n pow %= k;\n res *= binpow(p, pow);\n comple *= binpow(p, (k - pow) % k);\n }\n as[res]++;\n comp[res] = comple;\n }\n uint_fast64_t tot = 0, tot2 = 0;\n for (auto &num : as) {\n if (comp[num.first] != num.first)\n tot += num.second * as[comp[num.first]];\n else\n tot2 += num.second * (num.second - 1);\n }\n std::cout << tot / 2 + tot2 / 2 << std::endl;\n return 0;\n}\n", "java": "// Hash: qEz+TO95bihwZG913etVViSnt5lWulEy2mZ9nS4ToZg=\n\nimport java.security.*;\nimport java.nio.file.*;\nimport java.lang.annotation.*;\nimport java.util.stream.*;\nimport java.util.concurrent.atomic.*;\nimport java.util.function.*;\nimport java.util.concurrent.*;\nimport java.util.*;\nimport java.text.*;\nimport java.nio.*;\nimport java.nio.charset.*;\nimport java.io.*;\nimport java.lang.reflect.*;\nimport java.math.*;\n\n\n\n// Solution can be found in Submission.testCase(). psvm method can be found in Main.main(String[] args)\n// Please note that the code isn't obfuscated; only compressed\n\n\npublic class Solution {\n public static void main(String[] args) throws Exception {\n Main.main(args);\n }\n}\n\n\nclass Main{public static void main(String[]args)throws Exception{Class<?extends AbstractSubmission>clss=TaskB.class;new TaskB().runSubmission();}};\n\n\n\n\n\n\n\n@ContestSubmission(ContestType.CODEFORCES)\n@CacheVersion(0)\nclass TaskB extends AbstractSubmission {\n\n\t@Override\n\tpublic void testCase() {\n\t\tlong n = sc.nextInt();\n\t\tlong k = sc.nextInt();\n\t\tlong[] arr = new long[(int)n];\n\t\tfor (int i = 0; i < arr.length; i++) {\n\t\t\tarr[i] = sc.nextInt();\n\t\t}\n\n\n\t\tboolean[] primeTable = PrimeUtils.getPrimeTable(new Range(0, (int) (Math.sqrt(MathUtils.max(arr)) + 2)));\n\t\tList<Integer> primes = IntStream.range(0, primeTable.length).filter(x -> primeTable[x]).boxed().collect(Collectors.toList());\n\n\t\tdebug.println(primes);\n\n\t\tlong result = 0;\n\t\tMap<List<Pair<Long, Long>>, Integer> ca = new HashMap<>();\n\t\tfor (long a : arr) {\n\n\t\t\tList<Long> fpf = new ArrayList<>();\n\t\t\tlong la = a;\n\t\t\tfor (int p : primes) {\n\t\t\t\twhile (la % p == 0) {\n\t\t\t\t\tfpf.add((long) p);\n\t\t\t\t\tla /= p;\n\t\t\t\t}\n\t\t\t\tif (la <= 1) break;\n\t\t\t}\n\t\t\tif (la > 1) fpf.add(la);\n\n\t\t\tList<Pair<Long, Long>> facs = fpf.stream()\n\t\t\t\t\t.collect(Collectors.groupingBy(x -> x, Collectors.counting()))\n\t\t\t\t\t.entrySet()\n\t\t\t\t\t.stream()\n\t\t\t\t\t.map(x -> new Pair<>(x.getKey(), x.getValue() % k))\n\t\t\t\t\t.filter(x -> x.getValue() != 0)\n\t\t\t\t\t.sorted(Comparator.comparing(x -> x.getKey()))\n\t\t\t\t\t.collect(Collectors.toList());\n\n\t\t\tList<Pair<Long, Long>> invFacs = facs.stream()\n\t\t\t\t\t.map(x -> new Pair<>(x.a, k - x.b))\n\t\t\t\t\t.collect(Collectors.toList());\n\n\n\t\t\tdebug.println(a + \" \" + facs + \" \" + invFacs);\n\n\t\t\tresult += ca.getOrDefault(invFacs, 0);\n\t\t\tca.put(facs, 1 + ca.getOrDefault(facs, 0));\n\t\t}\n\n\t\tout.println(result);\n\t}\n\n\n\n\t@Override\n\tpublic void init() {\n\t\t// Nothing here! Good for initializing look-up tables or cached values\n\n\t\t// Note that there could be multiple Problem instances running on different threads. Writing static variables\n\t\t// here (or anywhere else) could lead to race conditions! Use static initialization instead\n\t}\n\n\n\n\n\n\n\n\n\n\n\n\t// Set to TRUE to override default (which may both be true or false). Setting to FALSE has no effect\n\n\t/* DISABLE-CODE-COMPRESSION: TRUE */\n\t/* GLOBAL-DISABLE-CODE-COMPRESSION: DEFAULT */\n\t/* JAVA-6-COMPATIBILITY-MODE: DEFAULT */\n\t/* KEEP-UNUSED-DEPENDENCIES: DEFAULT */\n\n\n\n\n\n\t\n};\n\nabstract class AbstractSubmission{public FastScanner sc;public InputStream in;public PrintStream out;public PrintStream debug;public volatile double score=0;public volatile int testCaseCount=-1;public volatile int testCaseIndex;public volatile double progress=0;public void runSubmission(){runSubmission(false);}public void runSubmission(boolean debug){runSubmission(System.in,System.out,debug);}public void runSubmission(InputStream in,PrintStream out){runSubmission(in,out,false);}public void runSubmission(InputStream in,PrintStream out,boolean debug){runSubmission(in,out,debug?System.err:new VoidPrintStream());}public void runSubmission(InputStream in,OutputStream out,OutputStream debug){this.in=in;this.sc=new FastScanner(this.in);this.out=new PrintStream(out);this.debug=debug instanceof VoidOutputStream||debug instanceof VoidPrintStream?new VoidPrintStream():new DebugPrintStream(debug);ContestType type=getType();testCaseCount=type.testCaseCount;init();if(testCaseCount<=0){testCaseCount=sc.nextInt();sc.nextLine();}testCaseIndex=0;for(testCaseIndex=1;testCaseIndex<=testCaseCount;testCaseIndex++){progress=0;this.out.printf(type.caseString,testCaseIndex,testCaseCount);testCase();}}private class DebugPrintStream extends PrintStream{public DebugPrintStream(OutputStream debug){super(debug);}private Object conv(Object obj){if(obj instanceof byte[])return Arrays.toString((byte[])obj);else if(obj instanceof char[])return Arrays.toString((char[])obj);else if(obj instanceof short[])return Arrays.toString((short[])obj);else if(obj instanceof int[])return Arrays.toString((int[])obj);else if(obj instanceof long[])return Arrays.toString((long[])obj);else if(obj instanceof float[])return Arrays.toString((float[])obj);else if(obj instanceof double[])return Arrays.toString((double[])obj);else if(obj instanceof boolean[])return Arrays.toString((int[])obj);else if(obj instanceof Object[])return Arrays.deepToString((Object[])obj);else return obj;}public void print(Object obj){super.print(conv(obj));}public void println(Object obj){super.println(conv(obj));}}public ContestType getType(){return getType(getClass());}public static ContestType getType(Class<?extends AbstractSubmission>clss){return getAnnotation(clss).value();}private static ContestSubmission getAnnotation(Class<?extends AbstractSubmission>clss){if(!clss.isAnnotationPresent(ContestSubmission.class)){throw new RuntimeException(\"ContestSubmission annotation not present on class \"+clss.getCanonicalName()+ \"!\");}return clss.getAnnotation(ContestSubmission.class);}public abstract void testCase();public abstract void init();};\n\nclass Arr extends ArrayUtils{};\n\nclass ArrayUtils{public static void sort(int[]arr){shuffle(arr);Arrays.sort(arr);}public static void sort(long[]arr){shuffle(arr);Arrays.sort(arr);}public static void sort(double[]arr){shuffle(arr);Arrays.sort(arr);}public static<T>void sort(T[]arr){Arrays.sort(arr);}public static<T>void sort(T[]arr,Comparator<?super T>comparator){Arrays.sort(arr,comparator);}public static void shuffle(int[]arr){shuffle(arr,ThreadLocalRandom.current());}public static void shuffle(long[]arr){shuffle(arr,ThreadLocalRandom.current());}public static void shuffle(double[]arr){shuffle(arr,ThreadLocalRandom.current());}public static void shuffle(boolean[]arr){shuffle(arr,ThreadLocalRandom.current());}public static<T>void shuffle(T[]arr){shuffle(arr,ThreadLocalRandom.current());}public static void shuffle(int[]arr,Random random){for(int i=0;i<arr.length-1;i++){swap(arr,i,i+random.nextInt(arr.length-i));}}public static void shuffle(long[]arr,Random random){for(int i=0;i<arr.length-1;i++){swap(arr,i,i+random.nextInt(arr.length-i));}}public static void shuffle(double[]arr,Random random){for(int i=0;i<arr.length-1;i++){swap(arr,i,i+random.nextInt(arr.length-i));}}public static<T>void shuffle(T[]arr,Random random){for(int i=0;i<arr.length-1;i++){swap(arr,i,i+random.nextInt(arr.length-i));}}public static void shuffle(boolean[]arr,Random random){for(int i=0;i<arr.length-1;i++){swap(arr,i,i+random.nextInt(arr.length-i));}}public static void swap(int[]arr,int i,int j){int tmp=arr[i];arr[i]=arr[j];arr[j]=tmp;}public static void swap(long[]arr,int i,int j){long tmp=arr[i];arr[i]=arr[j];arr[j]=tmp;}public static void swap(double[]arr,int i,int j){double tmp=arr[i];arr[i]=arr[j];arr[j]=tmp;}public static void swap(boolean[]arr,int i,int j){boolean tmp=arr[i];arr[i]=arr[j];arr[j]=tmp;}public static<T>void swap(T[]arr,int i,int j){T tmp=arr[i];arr[i]=arr[j];arr[j]=tmp;}public static int indexOf(int[]arr,int of){for(int i=0;i<arr.length;i++){if(arr[i]==of)return i;}return-1;}public static int indexOf(boolean[]arr,boolean of){for(int i=0;i<arr.length;i++){if(arr[i]==of)return i;}return-1;}public static int indexOf(double[]arr,double of){for(int i=0;i<arr.length;i++){if(arr[i]==of)return i;}return-1;}public static int indexOf(long[]arr,long of){for(int i=0;i<arr.length;i++){if(arr[i]==of)return i;}return-1;}public static int indexOf(Object[]arr,Object of){for(int i=0;i<arr.length;i++){if(Utils.equals(arr[i],of))return i;}return-1;}public static int[]toIntArray(byte[]arr){return asList(arr).stream().mapToInt(a->a).toArray();}public static int[]toIntArray(short[]arr){return asList(arr).stream().mapToInt(a->a).toArray();}public static int[]toIntArray(char[]arr){return asList(arr).stream().mapToInt(a->a).toArray();}public static long[]toLongArray(byte[]arr){return asList(arr).stream().mapToLong(a->a).toArray();}public static long[]toLongArray(short[]arr){return asList(arr).stream().mapToLong(a->a).toArray();}public static long[]toLongArray(char[]arr){return asList(arr).stream().mapToLong(a->a).toArray();}public static long[]toLongArray(int[]arr){return Arrays.stream(arr).mapToLong(a->a).toArray();}public static double[]toDoubleArray(float[]arr){return asList(arr).stream().mapToDouble(a->a).toArray();}public static List<Byte>asList(byte[]arr){return new BackedList<>(arr);}public static List<Character>asList(char[]arr){return new BackedList<>(arr);}public static List<Short>asList(short[]arr){return new BackedList<>(arr);}public static List<Integer>asList(int[]arr){return new BackedList<>(arr);}public static List<Boolean>asList(boolean[]arr){return new BackedList<>(arr);}public static List<Float>asList(float[]arr){return new BackedList<>(arr);}public static List<Double>asList(double[]arr){return new BackedList<>(arr);}public static List<Long>asList(long[]arr){return new BackedList<>(arr);}public static<T>List<T>asList(T[]arr){return Arrays.asList(arr);}private static class BackedList<T,A>extends AbstractList<T>implements RandomAccess{private A arr;private int length;public BackedList(A arr){this.arr=arr;this.length=java.lang.reflect.Array.getLength(arr);}public T get(int index){return(T)java.lang.reflect.Array.get(arr,index);}public T set(int index,T val){T oldValue=get(index);java.lang.reflect.Array.set(arr,index,val);return oldValue;}public int size(){return length;}}public static<T>Iterator<T>iterator(T...arr){return asList(arr).iterator();}public static int verboseCopy(byte[]src,int srcFromIndex,int srcToIndex,byte[]dest,int destFromIndex){int length=srcToIndex-srcFromIndex;if(length<0){length+=src.length;int copied=verboseCopy(src,srcFromIndex,src.length,dest,destFromIndex);return copied+verboseCopy(src,0,srcToIndex,dest,destFromIndex+copied);}else{System.arraycopy(src,srcFromIndex,dest,destFromIndex,length);return length;}}public static int verboseCopy(int[]src,int srcFromIndex,int srcToIndex,int[]dest,int destFromIndex){int length=srcToIndex-srcFromIndex;if(length<0){length+=src.length;int copied=verboseCopy(src,srcFromIndex,src.length,dest,destFromIndex);return copied+verboseCopy(src,0,srcToIndex,dest,destFromIndex+copied);}else{System.arraycopy(src,srcFromIndex,dest,destFromIndex,length);return length;}}public static int verboseCopy(long[]src,int srcFromIndex,int srcToIndex,long[]dest,int destFromIndex){int length=srcToIndex-srcFromIndex;if(length<0){length+=src.length;int copied=verboseCopy(src,srcFromIndex,src.length,dest,destFromIndex);return copied+verboseCopy(src,0,srcToIndex,dest,destFromIndex+copied);}else{System.arraycopy(src,srcFromIndex,dest,destFromIndex,length);return length;}}public static int verboseCopy(double[]src,int srcFromIndex,int srcToIndex,double[]dest,int destFromIndex){int length=srcToIndex-srcFromIndex;if(length<0){length+=src.length;int copied=verboseCopy(src,srcFromIndex,src.length,dest,destFromIndex);return copied+verboseCopy(src,0,srcToIndex,dest,destFromIndex+copied);}else{System.arraycopy(src,srcFromIndex,dest,destFromIndex,length);return length;}}public static<T>int verboseCopy(T[]src,int srcFromIndex,int srcToIndex,T[]dest,int destFromIndex){int length=srcToIndex-srcFromIndex;if(length<0){length+=src.length;int copied=verboseCopy(src,srcFromIndex,src.length,dest,destFromIndex);return copied+verboseCopy(src,0,srcToIndex,dest,destFromIndex+copied);}else{System.arraycopy(src,srcFromIndex,dest,destFromIndex,length);return length;}}};\n\n@Retention(RetentionPolicy.RUNTIME)@Target(ElementType.TYPE)@interface CacheVersion{int value();};\n\n@Retention(RetentionPolicy.RUNTIME)@Target(ElementType.TYPE)@interface ContestSubmission{ContestType value();};\n\nenum ContestType{PLAIN(\"\",-1),ETH_JUDGE(\"\",-1,null,false,false,6),GOOGLE(\"Case #%d: \",-1),GOOGLE_JAM(\"Case #%d: \",-1, \"Solution.java\",false,false,8),GOOGLE_JAM_INTERACTIVE(\"\",-1, \"Solution.java\",false,false,8),FACEBOOK(\"Case #%d: \",-1),BLOOMBERG(\"\",1, \"Problem.java\",false,false,8),SINGLE_TESTCASE(\"\",1),OPTIMIZER(\"\",1,null,false,false,8,true),HACKERRANK(\"\",1, \"Solution.java\",false,false,8),CODEFORCES(\"\",1, \"Solution.java\",false,false,8);public int testCaseCount;public String caseString;public String launcher;public boolean disableCompression;public boolean keepUnusedDependencies;public int javaVersion;public boolean isOptimizer;ContestType(String caseString,int testCaseCount,String launcher,boolean disableCompression,boolean keepUnusedDependencies,int javaVersion,boolean isOptimizer){this.caseString=caseString;this.testCaseCount=testCaseCount;this.launcher=launcher;this.disableCompression=disableCompression;this.javaVersion=javaVersion;this.keepUnusedDependencies=keepUnusedDependencies;this.isOptimizer=isOptimizer;}ContestType(String a1,int a2,String a3,boolean a4,boolean a5,int a6){this(a1,a2,a3,a4,a5,a6,false);}ContestType(String a1,int a2){this(a1,a2,null,false,false,8);}};\n\nclass FastScanner{private static String spaceDelimiters= \" \\t\\n\\r\\f\";private BufferedReader buffer;private StringTokenizer tokenizer;private InputStream stream;public FastScanner(InputStream stream){this.stream=stream;}public String nextLine(){if(this.buffer==null)this.buffer=new BufferedReader(new InputStreamReader(stream));while(tokenizer==null){try{tokenizer=new StringTokenizer(buffer.readLine()+ \"\\n\");}catch(IOException e){throw new RuntimeException(\"IO exception occured!\",e);}}String res=tokenizer.nextToken(\"\");if(!res.endsWith(\"\\n\"))throw new RuntimeException(\"waddaheq just heppenenened\");res=res.substring(0,res.length()-1);if(res.contains(\"\\n\"))throw new RuntimeException(\"oke wat lamo\");tokenizer=null;return res;}public String next(){if(this.buffer==null)this.buffer=new BufferedReader(new InputStreamReader(stream));while(tokenizer==null||!tokenizer.hasMoreTokens()){try{tokenizer=new StringTokenizer(buffer.readLine()+ \"\\n\");}catch(IOException e){throw new RuntimeException(\"IO exception occured!\",e);}}return tokenizer.nextToken(spaceDelimiters);}public BigDecimal nextBigDecimal(){return new BigDecimal(next());}public BigInteger nextBigInteger(){return new BigInteger(next());}public int nextInt(){return Integer.parseInt(next());}public long nextLong(){return Long.parseLong(next());}public double nextDouble(){return Double.parseDouble(next());}};\n\nclass MathUtils{private MathUtils(){}public static int[]splitIntoArray(int i,int[]max){int[]res=new int[max.length];for(int j=max.length-1;j>=0;j--){res[j]=i%max[j];i/=max[j];}return res;}public static int mergeIntoInteger(int[]arr,int[]max){int result=0;for(int i=0;i<max.length;i++){result*=max[i];result+=arr[i];}return result;}public static int foldl(IntBinaryOperator operator,int...vals){int result=vals[0];for(int i=1;i<vals.length;i++){result=operator.applyAsInt(result,vals[i]);}return result;}public static long foldl(LongBinaryOperator operator,long...vals){long result=vals[0];for(int i=1;i<vals.length;i++){result=operator.applyAsLong(result,vals[i]);}return result;}public static double foldl(DoubleBinaryOperator operator,double...vals){double result=vals[0];for(int i=1;i<vals.length;i++){result=operator.applyAsDouble(result,vals[i]);}return result;}public static int min(int a,int b){return Math.min(a,b);}public static int max(int a,int b){return Math.max(a,b);}public static int min(int a,int b,int c){return Math.min(a,Math.min(b,c));}public static int max(int a,int b,int c){return Math.max(a,Math.max(b,c));}public static int min(int...vals){return foldl(Math::min,vals);}public static int max(int...vals){return foldl(Math::max,vals);}public static long min(long a,long b){return Math.min(a,b);}public static long max(long a,long b){return Math.max(a,b);}public static long min(long a,long b,long c){return Math.min(a,Math.min(b,c));}public static long max(long a,long b,long c){return Math.max(a,Math.max(b,c));}public static long min(long...vals){return foldl(Math::min,vals);}public static long max(long...vals){return foldl(Math::max,vals);}public static double min(double a,double b){return Math.min(a,b);}public static double max(double a,double b){return Math.max(a,b);}public static double min(double a,double b,double c){return Math.min(a,Math.min(b,c));}public static double max(double a,double b,double c){return Math.max(a,Math.max(b,c));}public static double min(double...vals){return foldl(Math::min,vals);}public static double max(double...vals){return foldl(Math::max,vals);}public static int sum(int...vals){int result=0;for(int v:vals){result+=v;}return result;}public static int prod(int...vals){int result=1;for(int v:vals){result*=v;}return result;}public static int factorial(int n){if(n<=1)return 1;return n*factorial(n-1);}public static boolean doubleEquals(double a,double b){return a==b||(Double.isNaN(a)&&Double.isNaN(b));}public static int pow(int a,int exponent){if(exponent<0)return 0;if(exponent==0)return 1;if((a&(a-1))==0)return a<<(exponent-1);if(exponent%2==0)return sq(pow(a,exponent/2));return pow(a,exponent-1)*a;}public static long pow(long a,long exponent){if(a==2)return 1l<<exponent;if(exponent<0)return 0;if(exponent==0)return 1;if(exponent%2==0)return sq(pow(a,exponent/2));return pow(a,exponent-1)*a;}public static double pow(double a,double exponent){return Math.pow(a,exponent);}public static int sq(int a){return a*a;}public static long sq(long a){return a*a;}public static double sq(double a){return a*a;}public static int realMod(int i,int mod){return MathUtils.floorMod(i,mod);}public static long realMod(long i,long mod){return MathUtils.floorMod(i,mod);}public static int floorDiv(int a,int b){return Math.floorDiv(a,b);}public static long floorDiv(long a,long b){return Math.floorDiv(a,b);}public static int floorMod(int a,int b){return Math.floorMod(a,b);}public static long floorMod(long a,long b){return Math.floorMod(a,b);}public static int ceilDiv(int a,int b){return Math.floorDiv(a+b-1,b);}public static long ceilDiv(long a,long b){return Math.floorDiv(a+b-1,b);}public static int ceilMod(int a,int b){return a-ceilDiv(a,b)*b;}public static long ceilMod(long a,long b){return a-ceilDiv(a,b)*b;}public static long modMul(long a,long b,long mod){a=realMod(a,mod);if(a==0)return 0;b=realMod(b,mod);if(b<=Long.MAX_VALUE/a){return MathUtils.realMod(a*b,mod);}return BigInteger.valueOf(a).multiply(BigInteger.valueOf(b)).mod(BigInteger.valueOf(mod)).longValueExact();}public static long modAdd(long a,long b,long mod){a=realMod(a,mod);b=realMod(b,mod);return realMod(a-mod+b,mod);}};\n\n@Retention(RetentionPolicy.SOURCE)@Target(ElementType.METHOD)@interface O{String value();};\n\n@Target(ElementType.FIELD)@Retention(RetentionPolicy.RUNTIME)@interface Optimize{long imin()default 0;long imax()default 100;double fmin()default 0;double fmax()default 1;};\n\nclass Pair<A,B>extends Tuple implements Map.Entry<A,B>{public A a;public B b;public Pair(A a,B b){this.a=a;this.b=b;}public A getLeft(){return a;}public B getRight(){return b;}public void setLeft(A a){this.a=a;}public void setRight(B b){this.b=b;}public<A1,B1>Pair<A1,B1>map(Function<A,A1>mapA,Function<B,B1>mapB){return new Pair<A1,B1>(mapA.apply(this.a),mapB.apply(this.b));}public A getKey(){return a;}public A setKey(A a){A old=this.a;this.a=a;return old;}public B getValue(){return b;}public B setValue(B b){B old=this.b;this.b=b;return old;}public Object[]toArray(){return new Object[]{a,b};}public boolean equals(Object other){if(!(other instanceof Pair))return super.equals(other);Pair pair=(Pair)other;return Utils.equals(this.a,pair.a)&&Utils.equals(this.b,pair.b);}public int hashCode(){return 961+31*Utils.hashCode(a)+Utils.hashCode(b);}};\n\nclass PrimeUtils{public static boolean[]getPrimeTable(Range range){return getPrimeTable(range.toLongRange());}public static boolean[]getPrimeTable(LongRange range){if(range.size()>=Integer.MAX_VALUE)throw new IllegalArgumentException(\"Distance between L and R may not exceed Integer.MAX_VALUE!\");long L=range.a;long R=range.b-1;boolean[]primeFacts=new boolean[(int)(R-L+1)];for(int i=0;i<primeFacts.length;i++){primeFacts[i]=true;}if(L==0&&R>=0)primeFacts[0]=false;if(L<=1&&R>=1)primeFacts[(int)(1-L)]=false;boolean[]primeTable=L==0?primeFacts:getPrimeTable(new LongRange(0,(long)Math.sqrt(range.b)+1));for(long i=2;i*i<=R;i++){if(!primeTable[(int)i])continue;for(long j=Math.max(i,MathUtils.ceilDiv(L,i));j*i<=R;j++){primeFacts[(int)(j*i-L)]=false;}}return primeFacts;}public static boolean isProbablePrime(long l,int certainty){return BigInteger.valueOf(l).isProbablePrime(certainty);}public static boolean isProbablePrime(BigInteger l,int certainty){return l.isProbablePrime(certainty);}public static boolean isPrime(long l){return isProbablePrime(l,100);}public static boolean isPrime(BigInteger l){return isProbablePrime(l,100);}public static long findPrimeFactor(long l){return findSmallestOddFactor(l,1,l);}private static long findSmallestOddFactor(long l,long min,long max){if(min<=2){if(l%2==0)return 2;min=3;}max=Math.min(max,(long)Math.sqrt(l)+1);for(long i=min;i<max;i+=2){if(l%i==0)return i;}return l;}public static List<Long>findPrimeFactors(long l){return findPrimeFactors(l,l);}public static List<Long>findPrimeFactors(long l,long max){if(PrimeUtils.isPrime(l))return Collections.singletonList(l);List<Long>result=new ArrayList<>();long pf=1;while(l>1&&l<=max){pf=findSmallestOddFactor(l,pf,l);result.add(pf);l/=pf;}return Collections.unmodifiableList(result);}public static BigInteger findPrimeFactor(BigInteger l){return findSmallestOddFactor(l,BigInteger.ONE,l);}private static BigInteger findSmallestOddFactor(BigInteger l,BigInteger min,BigInteger max){if(min.compareTo(BigInteger.valueOf(2))<=0){if(l.mod(BigInteger.valueOf(2)).equals(BigInteger.ZERO))return BigInteger.valueOf(2);min=BigInteger.valueOf(3);}for(BigInteger i=min;i.compareTo(max)<0&&i.multiply(i).compareTo(l)<=0;i=i.add(BigInteger.valueOf(2))){if(l.mod(i).equals(BigInteger.ZERO))return i;}return l;}public static List<BigInteger>findPrimeFactors(BigInteger l){return findPrimeFactors(l,l);}public static List<BigInteger>findPrimeFactors(BigInteger l,BigInteger max){if(PrimeUtils.isPrime(l))return new ArrayList<>(Arrays.asList(l));List<BigInteger>result=new ArrayList<>();BigInteger pf=BigInteger.ONE;while(l.compareTo(BigInteger.ONE)>0&&l.compareTo(max)<=0){pf=findSmallestOddFactor(l,pf,l);result.add(pf);l=l.divide(pf);}return result;}};\n\nclass LongRange extends Pair<Long,Long>implements Iterable<Long>{public LongRange(long i,long j){super(i,j);}public LongRange(LongRange range){this(range.a,range.b);}public long size(){return this.b-this.a;}public long[]toLongArray(){return this.stream().toArray();}public Range toIntRange(){return new Range((int)(long)this.a,(int)(long)this.b);}public LongStream stream(){return LongStream.range(a,b);}public Iterator<Long>iterator(){return new PolyfillIterator<Long>(){long c=getLeft();public boolean hasNext(){return c<getRight();}public Long next(){return c++;}};}public boolean contains(long l){return l>=this.a&&l<this.b;}public void intersectWith(LongRange range){a=Math.max(range.a,a);b=Math.min(range.b,b);}public LongRange intersectedWith(LongRange range){LongRange res=new LongRange(this);res.intersectWith(range);return res;}public static LongRange getIntersection(LongRange...a){return Arrays.stream(a).reduce((res,b)->res.intersectedWith(b)).get();}public void ensureValidity()throws IllegalArgumentException{if(this.b<this.a)throw new IllegalArgumentException(\"Second argument of range (\"+this.a+ \", \"+this.b+ \") must be larger than first\");}public String toString(){return \"[\"+a+ \", \"+b+ \")\";}};\n\nabstract class PolyfillIterator<T>implements Iterator<T>{};\n\nclass Range extends Pair<Integer,Integer>implements Iterable<Integer>{public Range(int i,int j){super(i,j);}public Range(Range range){this(range.a,range.b);}public int size(){return this.b-this.a;}public int[]toIntArray(){return this.stream().toArray();}public LongRange toLongRange(){return new LongRange(this.a,this.b);}public IntStream stream(){return IntStream.range(a,b);}public Iterator<Integer>iterator(){return new PolyfillIterator<Integer>(){int c=getLeft();public boolean hasNext(){return c<getRight();}public Integer next(){return c++;}};}public boolean contains(int l){return l>=this.a&&l<this.b;}public void intersectWith(Range range){a=Math.max(range.a,a);b=Math.min(range.b,b);}public Range intersectedWith(Range range){Range res=new Range(this);res.intersectWith(range);return res;}public static Range getIntersection(Range...a){return Arrays.stream(a).reduce((res,b)->res.intersectedWith(b)).get();}public void ensureValidity()throws IllegalArgumentException{if(this.b<this.a)throw new IllegalArgumentException(\"Second argument of range (\"+this.a+ \", \"+this.b+ \") must be larger than first\");}public String toString(){return \"[\"+a+ \", \"+b+ \")\";}};\n\nabstract class Tuple extends Structure{public abstract Object[]toArray();public boolean equals(Object obj){if(obj==null)return false;if(!(obj instanceof Tuple))return false;return Arrays.equals(this.toArray(),((Tuple)obj).toArray());}public int hashCode(){return Arrays.hashCode(this.toArray());}public String toString(){Object[]els=toArray();String[]elements=new String[els.length];for(int i=0;i<els.length;i++){elements[i]= \"\"+els[i];}return \"(\"+String.join(\", \",elements)+ \")\";}};\n\nabstract class Structure implements Serializable,Cloneable{public Structure clone(){try{Structure struct=(Structure)super.clone();for(Field field:this.getClass().getDeclaredFields()){field.setAccessible(true);if(Modifier.isTransient(field.getModifiers())){continue;}field.set(struct,field.get(this));}return struct;}catch(CloneNotSupportedException e){throw new AssertionError(\"Cloning a structure should always be supported - please report this bug\",e);}catch(IllegalAccessException e){throw new RuntimeException(\"Can't access my own elements!\",e);}}private NavigableMap<String,Object>getFields(){try{NavigableMap<String,Object>result=new TreeMap<String,Object>();for(Field field:this.getClass().getFields()){if(Modifier.isTransient(field.getModifiers())){continue;}result.put(field.getName(),field.get(this));}return result;}catch(IllegalAccessException e){throw new RuntimeException(\"Can't access my own elements!\",e);}}public boolean equals(Object obj){if(obj==null)return false;if(getClass()!=obj.getClass())return false;return getFields().equals(((Structure)obj).getFields());}public int hashCode(){return getFields().hashCode();}public String toString(){return getFields().toString();}};\n\nclass Tree<T>implements Serializable{private TreeNode<T>root;Pair<Double,DoubleBinaryOperator>distanceFolder;public Tree(T rootValue){this(rootValue,null);}public Tree(T rootValue,Pair<Double,DoubleBinaryOperator>distanceFolder){this(distanceFolder);initRoot(new TreeNode<T>(rootValue,this));}protected Tree(){this((Pair<Double,DoubleBinaryOperator>)null);}protected Tree(Pair<Double,DoubleBinaryOperator>distanceFolder){this.distanceFolder=distanceFolder==null?new Pair<Double,DoubleBinaryOperator>(0.0,Double::sum):distanceFolder;}protected void initRoot(TreeNode<T>node){if(root!=null)throw new IllegalStateException(\"Can't modify the root after it has already been initialized!\");this.root=node;}public TreeNode<T>getRoot(){return root;}public List<TreeNode<T>>leafNodes(){return getRoot().leafNodes();}public List<TreeNode<T>>preOrder(){return getRoot().preOrder();}public List<TreeNode<T>>postOrder(){return getRoot().postOrder();}public String toString(){return root.toString();}};\n\nclass TreeNode<T>implements Serializable{private T value;private int height;private double distance;private double distanceToParent;private List<TreeNode<T>>children;private TreeNode<T>parent;private Tree<T>tree;public TreeNode(T value){this(value,null);}protected TreeNode(T value,Tree<T>tree){this.value=value;this.parent=null;this.tree=tree;this.children=new ArrayList<TreeNode<T>>(5);this.height=0;this.distance=tree.distanceFolder.a;}protected TreeNode(T value,TreeNode<T>parent,double distanceToParent){this.value=value;this.parent=parent;this.tree=parent.tree;this.children=new ArrayList<TreeNode<T>>();this.height=parent.getHeight()+1;this.distanceToParent=distanceToParent;this.distance=tree.distanceFolder.b.applyAsDouble(parent.getDistance(),distanceToParent);}public T getValue(){return value;}public void setValue(T value){this.value=value;}public int getHeight(){return height;}public double getDistance(){return distance;}public double getDistanceToParent(){if(!hasParent())throw new NoSuchElementException(\"Node has no parent!\");return this.distanceToParent;}public List<TreeNode<T>>getChildren(){return this.children.size()==0?Collections.emptyList():Collections.unmodifiableList(children);}public int getChildCount(){return children.size();}public TreeNode<T>addChild(T value){return addChild(value,1);}public TreeNode<T>addChild(T value,double distance){return createUnattached(value,distance).attach();}public TreeNode<T>.Unattached createUnattached(T value,double distance){return new Unattached(value,distance);}class Unattached extends TreeNode<T>{private boolean isAttached=false;private Unattached(T value,double distance){super(value,TreeNode.this,distance);}public TreeNode<T>attach(){if(isAttached())throw new NoSuchElementException(\"Node has already been attached!\");TreeNode.this.children.add(this);isAttached=true;return this;}public boolean isAttached(){return isAttached;}}public TreeNode<T>getParent(){return parent;}public List<TreeNode<T>>getParentChain(){List<TreeNode<T>>res=new ArrayList<TreeNode<T>>();TreeNode<T>node=this;while((node=node.getParent())!=null){res.add(node);}Collections.reverse(res);return res;}public boolean hasParent(){return getParent()!=null;}public Tree<T>getTree(){return tree;}public boolean isAttached(){return true;}public List<TreeNode<T>>leafNodes(){return traverse(2);}public List<TreeNode<T>>preOrder(){return traverse(0);}public List<TreeNode<T>>postOrder(){return traverse(1);}private List<TreeNode<T>>traverse(int mode){List<TreeNode<T>>list=new ArrayList<TreeNode<T>>();traverse(list,mode);return list;}private void traverse(List<TreeNode<T>>list,int mode){Queue<TreeNode<T>>queue=QueueUtils.createLIFO();queue.add(this);while(!queue.isEmpty()){TreeNode<T>n=queue.remove();if(mode!=2||n.getChildCount()==0)list.add(n);Iterable<TreeNode<T>>children=mode==1?n.getChildren():Utils.reverseIterable(n.getChildren());for(TreeNode<T>child:children){queue.add(child);}}if(mode==1)Collections.reverse(list);}public String toString(){return(\"\"+value)+(children.isEmpty()? \"\":children.toString());}};\n\nclass QueueUtils{public static<T>Queue<T>createFIFO(){return new ArrayDeque<>();}public static<T>Queue<T>createLIFO(){return Collections.asLifoQueue(new ArrayDeque<>());}public static<T>Queue<T>createStack(){return createLIFO();}public static<T extends Comparable<?super T>>Queue<T>createPriority(){return new PriorityQueue<>();}public static<T>Queue<T>createPriority(Comparator<?super T>comparator){return new PriorityQueue<>(comparator);}public static<T,U extends Comparable<?super U>>Queue<T>createPriority(Function<?super T,?extends U>keyExtractor){return createPriority(Comparator.comparing(keyExtractor));}};\n\nclass Utils{public static boolean equals(int a,int b){return a==b;}public static boolean equals(long a,long b){return a==b;}public static boolean equals(double a,double b){return Double.doubleToLongBits(a)==Double.doubleToLongBits(b);}public static boolean equals(Object a,Object b){return Objects.equals(a,b);}public static int hashCode(int a){return Integer.hashCode(a);}public static int hashCode(long a){return Long.hashCode(a);}public static int hashCode(double a){return Double.hashCode(a);}public static int hashCode(Object a){return Objects.hashCode(a);}public static int compare(int a,int b){return Integer.compare(a,b);}public static int compare(long a,long b){return Long.compare(a,b);}public static int compare(double a,double b){return Double.compare(a,b);}public static<T extends Comparable<?super T>>int compare(T a,T b){return Objects.compare(a,b,Comparator.naturalOrder());}public static<T>int hashAll(Object...objs){return hashAll(Arr.iterator(objs));}public static<T>int hashAll(Iterator<T>iterator){int hash=1;while(iterator.hasNext()){T obj=iterator.next();hash=hash*31+Objects.hashCode(obj);}return hash;}public static void repeat(int times,Consumer<Integer>consumer){for(int i=0;i<times;i++){consumer.accept(i);}}public static void repeat(int times,Runnable runnable){repeat(times,(a)->runnable.run());}public static<E extends Throwable>double timing(ThrowingRunnable<E>runnable)throws E{long start=System.nanoTime();runnable.run();long end=System.nanoTime();return(end-start)/1_000_000_000.0;}private static int timingId=0;public static<T,E extends Throwable>T printTiming(ThrowingSupplier<T,E>supplier,String name)throws E{int tid=timingId++;if(name==null)name= \"\"+tid;else name=tid+ \" - \"+name;System.err.println(\"Starting task \"+name);long start=System.nanoTime();try{return supplier.get();}finally{long end=System.nanoTime();System.err.println(\"Time taken for task \"+name+ \": \"+(end-start)/1_000_000_000.0+ \"s\");}}public static<E extends Throwable>void printTiming(ThrowingRunnable<E>runnable,String name)throws E{printTiming(()->{runnable.run();return null;},name);}public static<E extends Throwable>void printTiming(ThrowingRunnable<E>runnable)throws E{printTiming(runnable,null);}public static<T,E extends Throwable>T printTiming(ThrowingSupplier<T,E>supplier)throws E{return printTiming(supplier,null);}public static<T>ArrayList<T>toArrayList(Iterable<T>iterable){int size=iterable instanceof Collection?((Collection)iterable).size():-1;return toArrayList(iterable,size);}public static<T>ArrayList<T>toArrayList(Iterable<T>iterable,int size){return toArrayList(iterable.iterator(),size);}public static<T>ArrayList<T>toArrayList(Iterator<T>iterator){return toArrayList(iterator,-1);}public static<T>ArrayList<T>toArrayList(Iterator<T>iterator,int estimatedSize){return toArrayList(Spliterators.spliterator(iterator,estimatedSize,Spliterator.ORDERED));}public static<T>ArrayList<T>toArrayList(Spliterator<T>spliterator){long estimatedSize=spliterator.estimateSize();if(estimatedSize>=Long.MAX_VALUE||estimatedSize<=10)estimatedSize=10;ArrayList<T>result=new ArrayList<>((int)Math.min(estimatedSize,Integer.MAX_VALUE));spliterator.forEachRemaining(result::add);return result;}public static PrimitiveIterator.OfInt toPrimitiveIterator(IntIterator iterator){return new PrimitiveIterator.OfInt(){public int nextInt(){return iterator.next();}public boolean hasNext(){return iterator.hasNext();}};}public static PrimitiveIterator.OfLong toPrimitiveIterator(LongIterator iterator){return new PrimitiveIterator.OfLong(){public long nextLong(){return iterator.next();}public boolean hasNext(){return iterator.hasNext();}};}public static PrimitiveIterator.OfDouble toPrimitiveIterator(DoubleIterator iterator){return new PrimitiveIterator.OfDouble(){public double nextDouble(){return iterator.next();}public boolean hasNext(){return iterator.hasNext();}};}public static IntStream stream(IntIterator iterator){return stream(iterator,-1);}public static IntStream stream(IntIterator iterator,int estimatedSize){return stream(Spliterators.spliterator(Utils.toPrimitiveIterator(iterator),estimatedSize,Spliterator.ORDERED));}public static IntStream stream(Spliterator.OfInt spliterator){return StreamSupport.intStream(spliterator,false);}public static LongStream stream(LongIterator iterator){return stream(iterator,-1);}public static LongStream stream(LongIterator iterator,int estimatedSize){return stream(Spliterators.spliterator(Utils.toPrimitiveIterator(iterator),estimatedSize,Spliterator.ORDERED));}public static LongStream stream(Spliterator.OfLong spliterator){return StreamSupport.longStream(spliterator,false);}public static DoubleStream stream(DoubleIterator iterator){return stream(iterator,-1);}public static DoubleStream stream(DoubleIterator iterator,int estimatedSize){return stream(Spliterators.spliterator(Utils.toPrimitiveIterator(iterator),estimatedSize,Spliterator.ORDERED));}public static DoubleStream stream(Spliterator.OfDouble spliterator){return StreamSupport.doubleStream(spliterator,false);}public static<T>Stream<T>stream(Iterator<T>iterator){return stream(iterator,-1);}public static<T>Stream<T>stream(Iterator<T>iterator,int estimatedSize){return stream(Spliterators.spliterator(iterator,estimatedSize,Spliterator.ORDERED));}public static<T>Stream<T>stream(Spliterator<T>spliterator){return StreamSupport.stream(spliterator,false);}public static<T>Map<T,Set<Integer>>invert(Collection<T>coll){Map<T,Set<Integer>>map=new HashMap<>();int i=0;for(T t:coll){Set<Integer>set=map.get(t);if(set==null){map.put(t,Collections.singleton(i));}else{if(!(set instanceof LinkedHashSet)){set=new LinkedHashSet<>(set);map.put(t,set);}set.add(i);}i++;}return Collections.unmodifiableMap(map);}public static<T>ArrayList<T>arrayListOfSize(int size){return arrayListOfSize(size,null);}public static<T>ArrayList<T>arrayListOfSize(int size,T element){return new ArrayList<>(Collections.nCopies(size,element));}public static<T>Set<T>asSet(Collection<T>uniqueElements){return asModifiableSet(Collections.unmodifiableCollection(uniqueElements));}public static<T>Set<T>asModifiableSet(Collection<T>uniqueElements){return new AbstractSet<T>(){public int size(){return uniqueElements.size();}public boolean isEmpty(){return uniqueElements.isEmpty();}public boolean contains(Object o){return uniqueElements.contains(o);}public Iterator<T>iterator(){return uniqueElements.iterator();}public Object[]toArray(){return uniqueElements.toArray();}public<T1>T1[]toArray(T1[]a){return uniqueElements.toArray(a);}public boolean add(T t){return uniqueElements.add(t);}public boolean remove(Object o){return uniqueElements.remove(o);}public boolean containsAll(Collection<?>c){return uniqueElements.containsAll(c);}public boolean addAll(Collection<?extends T>c){return uniqueElements.addAll(c);}public boolean retainAll(Collection<?>c){return uniqueElements.retainAll(c);}public boolean removeAll(Collection<?>c){return uniqueElements.removeAll(c);}public void clear(){uniqueElements.clear();}};}public static<T>Collector<T,?,Set<T>>collectToSet(){return Collectors.collectingAndThen(Collectors.toList(),Utils::asSet);}public static<T>ListIterator<T>reverseIterator(List<T>list){return reverseIterator(list.listIterator(list.size()));}public static<T>ListIterator<T>reverseIterator(ListIterator<T>it){return new ListIterator<T>(){public boolean hasNext(){return it.hasPrevious();}public T next(){return it.previous();}public boolean hasPrevious(){return it.hasNext();}public T previous(){return it.next();}public int nextIndex(){return it.previousIndex();}public int previousIndex(){return it.nextIndex();}public void remove(){it.remove();}public void set(T t){it.set(t);}public void add(T t){it.add(t);}};}public static<T>Iterable<T>reverseIterable(List<T>list){return()->reverseIterator(list);}public static Runnable nonThrowing(ThrowingRunnable<?>r){return()->{try{r.run();}catch(Throwable e){throw new RuntimeException(e);}};}public static<T>Supplier<T>nonThrowing(ThrowingSupplier<T,?>r){return()->{try{return r.get();}catch(Throwable e){throw new RuntimeException(e);}};}public static<T,R>Function<T,R>nonThrowing(ThrowingFunction<T,R,?>r){return(a)->{try{return r.apply(a);}catch(Throwable e){throw new RuntimeException(e);}};}public static<T>Predicate<T>nonThrowingPredicate(ThrowingPredicate<T,?>r){return(a)->{try{return r.test(a);}catch(Throwable e){throw new RuntimeException(e);}};}private static Map<Class,Class>primitiveClassWrappers=new HashMap<Class,Class>(){{put(boolean.class,Boolean.class);put(byte.class,Byte.class);put(short.class,Short.class);put(char.class,Character.class);put(int.class,Integer.class);put(long.class,Long.class);put(float.class,Float.class);put(double.class,Double.class);}};public static Class<?>primitiveToWrapper(Class<?>clss){return primitiveClassWrappers.getOrDefault(clss,clss);}};\n\ninterface DoubleIterator{double next();boolean hasNext();default void forEachRemaining(DoubleConsumer consumer){while(hasNext()){consumer.accept(next());}}};\n\ninterface IntIterator{int next();boolean hasNext();default void forEachRemaining(IntConsumer consumer){while(hasNext()){consumer.accept(next());}}};\n\ninterface LongIterator{long next();boolean hasNext();default void forEachRemaining(LongConsumer consumer){while(hasNext()){consumer.accept(next());}}};\n\n@FunctionalInterface interface ThrowingFunction<T,R,E extends Throwable>{R apply(T t)throws E;};\n\n@FunctionalInterface interface ThrowingPredicate<T,E extends Throwable>{boolean test(T t)throws E;};\n\n@FunctionalInterface interface ThrowingRunnable<E extends Throwable>{void run()throws E;};\n\n@FunctionalInterface interface ThrowingSupplier<T,E extends Throwable>{T get()throws E;};\n\nclass VoidOutputStream extends OutputStream{public void write(int b){return;}public void write(byte b[]){return;}public void write(byte b[],int off,int len){return;}};\n\nclass VoidPrintStream extends PrintStream{public VoidPrintStream(){super(new VoidOutputStream());}public void write(int b){return;}public void print(char[]buf){return;}public void print(String s){return;}public void print(Object obj){return;}public void println(char[]buf){return;}public void println(String s){return;}public void println(Object obj){return;}public PrintStream format(Locale l,String s,Object...objs){return this;}public PrintStream format(String s,Object...objs){return this;}};", "python": "import math\nfrom collections import Counter\n \nn, k = map(int, input().split())\na = list(map(int, input().split()))\n \nans = 0\nprev = Counter()\nfor x in a:\n\tsig = []\n\tp = 2\n\twhile p <= math.sqrt(x):\n\t\tcnt = 0\n\t\twhile x % p == 0:\n\t\t\tcnt += 1\n\t\t\tx = x // p\n \n\t\tcnt = cnt % k\n\t\tif cnt > 0:\n\t\t\tsig.append((p, cnt))\n \n\t\tp += 1\n \n\tif x > 1:\n\t\tsig.append((x, 1))\n \n\tcom_sig = []\n\tfor p, val in sig:\n\t\tcom_sig.append((p, (k - val) % k))\n \n\tans += prev[tuple(sig)]\n\tprev[tuple(com_sig)] += 1\n \nprint(ans)" }
Codeforces/1265/F
# Beautiful Bracket Sequence (easy version) This is the easy version of this problem. The only difference is the limit of n - the length of the input string. In this version, 1 ≤ n ≤ 2000. The hard version of this challenge is not offered in the round for the second division. Let's define a correct bracket sequence and its depth as follow: * An empty string is a correct bracket sequence with depth 0. * If "s" is a correct bracket sequence with depth d then "(s)" is a correct bracket sequence with depth d + 1. * If "s" and "t" are both correct bracket sequences then their concatenation "st" is a correct bracket sequence with depth equal to the maximum depth of s and t. For a (not necessarily correct) bracket sequence s, we define its depth as the maximum depth of any correct bracket sequence induced by removing some characters from s (possibly zero). For example: the bracket sequence s = "())(())" has depth 2, because by removing the third character we obtain a correct bracket sequence "()(())" with depth 2. Given a string a consists of only characters '(', ')' and '?'. Consider all (not necessarily correct) bracket sequences obtained by replacing all characters '?' in a by either '(' or ')'. Calculate the sum of all the depths of all these bracket sequences. As this number can be large, find it modulo 998244353. Hacks in this problem in the first division can be done only if easy and hard versions of this problem was solved. Input The only line contains a non-empty string consist of only '(', ')' and '?'. The length of the string is at most 2000. Output Print the answer modulo 998244353 in a single line. Examples Input ?? Output 1 Input (?(?)) Output 9 Note In the first test case, we can obtain 4 bracket sequences by replacing all characters '?' with either '(' or ')': * "((". Its depth is 0; * "))". Its depth is 0; * ")(". Its depth is 0; * "()". Its depth is 1. So, the answer is 1 = 0 + 0 + 0 + 1. In the second test case, we can obtain 4 bracket sequences by replacing all characters '?' with either '(' or ')': * "(((())". Its depth is 2; * "()()))". Its depth is 2; * "((()))". Its depth is 3; * "()(())". Its depth is 2. So, the answer is 9 = 2 + 2 + 3 + 2.
[ { "input": { "stdin": "(?(?))\n" }, "output": { "stdout": "9" } }, { "input": { "stdin": "??\n" }, "output": { "stdout": "1" } }, { "input": { "stdin": "???)\n" }, "output": { "stdout": "8" } }, { "input": { "stdin": "(?(??)))(()?(???)(?((?(?()))(())?))?(?)))?)?)))?)?()(\n" }, "output": { "stdout": "2123024" } }, { "input": { "stdin": ")\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": "?\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": "))\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": "??????????????????????????????????????????????????????????????????????????????????????????????????????????\n" }, "output": { "stdout": "206662035" } }, { "input": { "stdin": "(?\n" }, "output": { "stdout": "1" } }, { "input": { "stdin": "?)\n" }, "output": { "stdout": "1" } }, { "input": { "stdin": ")?)??)?)))??)???))?))?)?))))))?)????)??)?????)????)))\n" }, "output": { "stdout": "469179939" } }, { "input": { "stdin": "(((\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": ")?)??)?)))\n" }, "output": { "stdout": "31" } }, { "input": { "stdin": ")?)??)?)((??(???)(?((?(?)???()??????(?????????????(?))???)?(??)?????()?????(?)?(?(????(???(??)??()?(??(?(?\n" }, "output": { "stdout": "930560744" } }, { "input": { "stdin": "??????????\n" }, "output": { "stdout": "2304" } }, { "input": { "stdin": ")?)??)?)((??(???)(?((?(?)???()??????(?????????????(?)\n" }, "output": { "stdout": "543515623" } }, { "input": { "stdin": "(?(??)))(()?(???)(?((?(?()))(())?))?(?)))?)?)))?)?()())??)?()?)??))?(()??)?()))()(???)())?(??)))((?())()(?\n" }, "output": { "stdout": "359232022" } }, { "input": { "stdin": "(??\n" }, "output": { "stdout": "3" } }, { "input": { "stdin": "(?)\n" }, "output": { "stdout": "2" } }, { "input": { "stdin": "????\n" }, "output": { "stdout": "12" } }, { "input": { "stdin": "((((\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": "(\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": "(?(??)))((\n" }, "output": { "stdout": "24" } }, { "input": { "stdin": "???\n" }, "output": { "stdout": "4" } }, { "input": { "stdin": "(?(??(?(((\n" }, "output": { "stdout": "24" } }, { "input": { "stdin": "))))\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": ")?)??)?)((\n" }, "output": { "stdout": "24" } }, { "input": { "stdin": "?????????????????????????????????????????????????????\n" }, "output": { "stdout": "872556218" } }, { "input": { "stdin": "(?(??(?(((??(???((?((?(?((((((?(????(??(?????(????((((???(?(??(??(??(((????(?(((((????(???(??(??((?(?((?(?\n" }, "output": { "stdout": "180818340" } }, { "input": { "stdin": "(?(??(?(((??(???((?((?(?((((((?(????(??(?????(????(((\n" }, "output": { "stdout": "771290347" } }, { "input": { "stdin": ")))\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": "((\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": ")?)??)?)))??)???))?))?)?))))))?)????)??)?????)????))))???)?)??)??)??)))????)?)))))????)???)??)??))?)?))?)?\n" }, "output": { "stdout": "153019280" } }, { "input": { "stdin": "(?)??(?)((\n" }, "output": { "stdout": "30\n" } }, { "input": { "stdin": "(((?(??(?(\n" }, "output": { "stdout": "31\n" } }, { "input": { "stdin": "??(\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "()(?)?)))?)?)))?(?))?)))()))(?(?((?()???(?)(()))??(?(\n" }, "output": { "stdout": "1244524\n" } }, { "input": { "stdin": "))?(?(\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": ")?)??)?)))??)???))?))?)?))))))?)???))??)?????)????))))???)?)??)??)??)))????)?)))))????)??????)??))?)?))?)?\n" }, "output": { "stdout": "67841216\n" } }, { "input": { "stdin": "(?)??)))(()?(???)(??(?((()()(())?))?(?)))?)?)))?)?()(\n" }, "output": { "stdout": "2113605\n" } }, { "input": { "stdin": ")))(\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "(?(??)))(()?(???)(?((?(?()()(())?))?(?)))?)?)))?)?()(\n" }, "output": { "stdout": "2178752\n" } }, { "input": { "stdin": ")((\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": ")?)??)?)))??)???))?))?)?))))))?)???))??)?????)????)))?)??)?)??)??)??)))????)?)))))????)??????)??))?)?))?)?\n" }, "output": { "stdout": "104129468\n" } }, { "input": { "stdin": "(?(??)))(()?(???)(?((?(?()))()()?)))(??))?(?)))?)?()(\n" }, "output": { "stdout": "2050009\n" } }, { "input": { "stdin": "?)?))?)?))??)??)???)????)))))?)????)))??)??)??)?)???))))????)?????)??)????)?))))))?)?))?))???)??)))?)??)?)\n" }, "output": { "stdout": "180818340\n" } }, { "input": { "stdin": "(?(??)))(()?(???)(?((?(?()))()()?())(??))?(?())?)?()(\n" }, "output": { "stdout": "1958360\n" } }, { "input": { "stdin": ")?\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "??(())\n" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "()(?)?)))?(?))??()?)?)()()))()(?((?()???(?)(()))??(?(\n" }, "output": { "stdout": "1401265\n" } } ]
{ "tags": [ "combinatorics", "dp", "probabilities" ], "title": "Beautiful Bracket Sequence (easy version)" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long mod = 998244353;\nlong long **num_of_substrs;\nlong long **dp;\nvoid compute_substrs(string s, int n) {\n for (int i = 0; i < n; i++) {\n long long ans = 1;\n for (int j = i; j < n; j++) {\n if (s[j] == '?') ans = (ans * 2) % mod;\n num_of_substrs[i][j] = ans;\n }\n }\n}\nlong long dp_func(int i, int j, string &s) {\n if (i == j) return 0;\n if (i + 1 == j) {\n if (s[i] == ')' || s[j] == '(') return 0;\n return 1;\n }\n if (dp[i][j] != -1) return dp[i][j];\n if (s[i] == ')') return dp[i][j] = dp_func(i + 1, j, s);\n if (s[j] == '(') return dp[i][j] = dp_func(i, j - 1, s);\n if (s[i] == '(' && s[j] == ')') {\n return dp[i][j] =\n (dp_func(i + 1, j - 1, s) + num_of_substrs[i + 1][j - 1]) % mod;\n }\n if (s[i] == '(' && s[j] == '?') {\n return dp[i][j] = (dp_func(i + 1, j - 1, s) + num_of_substrs[i + 1][j - 1] +\n dp_func(i, j - 1, s)) %\n mod;\n }\n if (s[i] == '?' && s[j] == ')') {\n return dp[i][j] = (dp_func(i + 1, j - 1, s) + num_of_substrs[i + 1][j - 1] +\n dp_func(i + 1, j, s)) %\n mod;\n }\n return dp[i][j] = (dp_func(i + 1, j, s) + dp_func(i, j - 1, s) +\n num_of_substrs[i + 1][j - 1]) %\n mod;\n}\nint main() {\n ios_base::sync_with_stdio(false);\n cin.tie(0);\n ;\n string s;\n cin >> s;\n int n = s.length();\n num_of_substrs = new long long *[n];\n dp = new long long *[n];\n for (int i = 0; i < n; i++) {\n num_of_substrs[i] = new long long[n];\n dp[i] = new long long[n];\n for (int j = 0; j < n; j++) dp[i][j] = -1;\n }\n compute_substrs(s, n);\n cout << dp_func(0, n - 1, s);\n}\n", "java": "import java.util.*;\nimport java.io.*;\nimport java.io.FileWriter; \nimport java.math.BigInteger;\n\n// Solution\n\npublic class Main \n{ \n public static void main (String[] argv) \n {\n\t new Main();\n } \n \n \n boolean test = false; \n final int[][] dirs8 = {{0,1}, {0,-1}, {-1,0}, {1,0}, {1,1},{1,-1},{-1,1},{-1,-1}};\n final int[][] dirs4 = {{0,1}, {0,-1}, {-1,0}, {1,0}};\n final int MOD = 998244353;//1000000007; \n int n_bit = 1;\n int[] bit;\n \n \n final int WALL = -1;\n final int EMPTY = -2;\n final int VISITED = 1;\n final int FULL = 2;\n final char L = '(';\n final char R = ')';\n final char MK = '?';\n \n long[] fac = new long[2001];\n long[] ifac = new long[2001];\n long[][] nchoosekSum = new long[2001][2001];\n public Main() {\n\tFastReader in = new FastReader(new BufferedReader(new InputStreamReader(System.in)));\n\t\n \n //FastReader in = new FastReader(new BufferedReader(new FileReader(\"Main.in\"))); \n \n //int nt = in.nextInt(); \n int nt = 1;\n StringBuilder sb = new StringBuilder();\n \n fac[0] = 1;\n ifac[0] = 1;\n for (int i = 1; i <= 2000; i++) {\n fac[i] = fac[i-1] * i % MOD;\n ifac[i] = ifac[i-1] * inv(i) % MOD;\n }\n \n for (int i = 0; i <= 2000; i++)\n {\n nchoosekSum[i][0] = 1;\n for (int j = 1; j <= i; j++)\n {\n long cur = fac[i] * ifac[j] % MOD * ifac[i-j] % MOD;\n nchoosekSum[i][j] = (nchoosekSum[i][j-1] + cur) % MOD; \n }\n }\n \n for (int it = 0; it < nt; it++) \n {\n \n char[] a = in.next().toCharArray();\n int n = a.length;\n \n int[] nleft = new int[n+2];\n int[] nright = new int[n+2];\n int[] nmark = new int[n+2];\n for (int i = 1; i <= n; i++) {\n nleft[i] = nleft[i-1];\n nmark[i] = nmark[i-1];\n \n if (a[i-1] == L) {\n nleft[i]++;\n }else if (a[i-1] == MK) {\n nmark[i]++;\n }\n }\n for (int i = n; i > 0; i--)\n {\n nright[i] = nright[i+1];\n if (a[i-1] == R) nright[i]++;\n }\n \n int MAX = n/2;\n long[] dp = new long[MAX+2];\n for (int i = 1; i <= MAX; i++)\n {\n for (int j = i; j + i <= n; j++)\n {\n //System.out.println(\"dp \" + i + \": try \" + j); \n if (a[j-1] != R && nleft[j] + nmark[j] >= i && nright[j+1] + nmark[n] - nmark[j] >= i){\n int leftFixed = i - nleft[j];\n int rightFixed = i - nright[j+1];\n if (a[j-1] != L && leftFixed <= 0) break;\n \n if (a[j-1] == L) {\n if (leftFixed >= 0) {\n dp[i] = (dp[i] + choose(nmark[j], leftFixed) * chooseSum(nmark[n] - nmark[j], rightFixed) % MOD) % MOD; \n }\n }else {\n // mark this one as L\n leftFixed--;\n dp[i] = (dp[i] + choose(nmark[j]-1, leftFixed) * chooseSum(nmark[n] - nmark[j], rightFixed) % MOD) % MOD; \n } \n } \n }\n //System.out.println(\"dp: \" + i + \" \" + dp[i]); \n }\n \n long tot = 0;\n for (int i = MAX; i >= 1; i--)\n {\n tot = (tot + i * (dp[i] - dp[i+1]) % MOD) % MOD;\n tot = (tot + MOD) % MOD;\n }\n sb.append(tot+\"\\n\");\n //sb.append(f(n) + \"\\n\");\n //System.out.println();\n //String ans = new String(a);\n //sb.append(ans);\n }\n System.out.print(sb);\n }\n \n private long chooseSum(int n, int k){\n //System.out.println(\"chooseRight \" + n + \" \" + k);\n if (k <= 0) \n return nchoosekSum[n][n];\n return ((nchoosekSum[n][n] - nchoosekSum[n][k-1]) % MOD + MOD) % MOD;\n }\n private long choose(int n, int k)\n {\n // System.out.println(\"chooseLeft \" + n + \" \" + k);\n return fac[n] * ifac[k] % MOD * ifac[n-k] % MOD;\n }\n \n \n class DSU {\n int n;\n int[] par;\n int[] sz;\n int nGroup;\n \n public DSU(int n)\n {\n this.n = n;\n par = new int[n];\n sz = new int[n];\n for (int i = 0; i < n; i++){\n par[i] = i;\n sz[i] = 1;\n }\n nGroup = n; \n }\n \n private boolean add(int p, int q) {\n int rp = find(p);\n int rq = find(q);\n if (rq == rp) return false;\n \n if (sz[rp] <= sz[rq]) {\n sz[rq] += sz[rp];\n par[rp] = rq;\n }else {\n sz[rp] += sz[rq];\n par[rq] = rp;\n }\n nGroup--;\n return true;\n }\n \n private int find(int p)\n {\n int r = p;\n while (par[r] != r) r = par[r];\n \n while (r != p) {\n int t = par[p];\n par[p] = r;\n p = t;\n }\n return r;\n }\n \n }\n \n private int[] build_z_function(String s)\n {\n int n = s.length();\n int[] zfun = new int[n];\n \n int l = -1, r = -1;\n for (int i = 1; i < n; i++)\n {\n // Set the start value\n if (i <= r)\n zfun[i] = Math.min(zfun[i-l], r - i + 1);\n \n while (i + zfun[i] < n && s.charAt(i + zfun[i]) == s.charAt(zfun[i])) \n zfun[i]++; \n \n if (i + zfun[i] - 1> r){\n l = i;\n r = i + zfun[i] - 1;\n }\n }\n \n if (test)\n {\n System.out.println(\"Z-function of \" + s);\n for (int i = 0; i < n; i++) System.out.print(zfun[i] + \" \");\n System.out.println();\n }\n return zfun;\n }\n \n private int query(int p)\n {\n int sum = 0;\n for (; p > 0; p -= (p & (-p)))\n {\n sum += bit[p];\n }\n return sum;\n }\n \n private void add(int p, int val)\n {\n //System.out.println(\"add to BIT \" + p);\n for (; p <= n_bit; p += (p & (-p)))\n {\n bit[p] += val;\n }\n }\n \n \n \n private List<Integer> getMinFactor(int sum)\n {\n List<Integer> factors = new ArrayList<>();\n \n for (int sz = 2; sz <= sum / sz; sz++){\n if (sum % sz == 0) {\n factors.add(sz);\n factors.add(sum / sz);\n }\n }\n if (factors.size() == 0)\n factors.add(sum);\n \n return factors;\n }\n \n /* Tree class */\n class Tree {\n int V = 0;\n int root = 0;\n List<Integer>[] nbs;\n int[][] timeRange;\n int[] subTreeSize;\n int t;\n boolean dump = false;\n \n public Tree(int V, int root)\n {\n if (dump) \n System.out.println(\"build tree with size = \" + V + \", root = \" + root); \n \n this.V = V; \n this.root = root;\n nbs = new List[V];\n subTreeSize = new int[V];\n for (int i = 0; i < V; i++)\n nbs[i] = new ArrayList<>();\n \n \n }\n \n public void doneInput()\n {\n dfsEuler();\n }\n \n public void addEdge(int p, int q)\n {\n nbs[p].add(q);\n nbs[q].add(p);\n }\n \n private void dfsEuler()\n {\n timeRange = new int[V][2]; \n t = 1;\n dfs(root); \n }\n \n private void dfs(int node)\n {\n if (dump)\n System.out.println(\"dfs on node \" + node + \", at time \" + t);\n timeRange[node][0] = t;\n \n for (int next : nbs[node]) {\n if (timeRange[next][0] == 0)\n {\n ++t;\n dfs(next); \n }\n }\n timeRange[node][1] = t;\n subTreeSize[node] = t - timeRange[node][0] + 1;\n }\n \n public List<Integer> getNeighbors(int p) {\n return nbs[p];\n }\n \n public int[] getSubTreeSize(){\n return subTreeSize;\n }\n \n public int[][] getTimeRange()\n {\n if (dump){\n for (int i = 0; i < V; i++){\n System.out.println(i + \": \" + timeRange[i][0] + \" - \" + timeRange[i][1]);\n }\n }\n return timeRange;\n }\n \n }\n \n /* segment tree */\n class SegTree {\n int[] a;\n int[] tree;\n int[] treeMin;\n int[] treeMax;\n int[] lazy;\n int n;\n boolean dump = false;\n \n public SegTree(int n)\n {\n if (dump)\n System.out.println(\"create segTree with size \" + n);\n this.n = n;\n treeMin = new int[n*4];\n treeMax = new int[n*4];\n lazy = new int[n*4];\n }\n \n public SegTree(int n, int[] a) {\n this(n);\n this.a = a;\n buildTree(1, 0, n-1); \n }\n \n private void buildTree(int node, int lo, int hi)\n {\n if (lo == hi) {\n tree[node] = lo;\n return;\n }\n \n int m = (lo + hi) / 2;\n buildTree(node * 2, lo, m);\n buildTree(node * 2 + 1, m + 1, hi);\n pushUp(node, lo, hi);\n }\n \n \n private void pushUp(int node, int lo, int hi)\n {\n if (lo >= hi) return;\n \n // note that, if we need to call pushUp on a node, then lazy[node] must be zero.\n \n //the true value is the value + lazy\n treeMin[node] = Math.min(treeMin[node * 2] + lazy[node * 2], treeMin[node * 2 + 1] + lazy[node * 2 + 1]);\n treeMax[node] = Math.max(treeMax[node * 2] + lazy[node * 2], treeMax[node * 2 + 1] + lazy[node * 2 + 1]);\n // add combine fcn\n }\n \n private void pushDown(int node, int lo, int hi)\n {\n if (lazy[node] == 0) return;\n \n int lz = lazy[node];\n lazy[node] = 0; \n \n \n treeMin[node] += lz;\n treeMax[node] += lz; \n \n if (lo == hi) return;\n \n int mid = (lo + hi) / 2;\n lazy[node * 2] += lz;\n lazy[node * 2 + 1] += lz;\n }\n \n public int rangeQueryMax(int fr, int to)\n {\n return rangeQueryMax(1, 0, n-1, fr, to);\n }\n \n public int rangeQueryMax(int node, int lo, int hi, int fr, int to)\n {\n if (lo == fr && hi == to)\n return treeMax[node] + lazy[node];\n \n int mid = (lo + hi) / 2;\n pushDown(node, lo, hi);\n \n if (to <= mid) {\n return rangeQueryMax(node * 2, lo, mid, fr, to);\n }else if (fr > mid)\n return rangeQueryMax(node * 2 + 1, mid + 1, hi, fr, to);\n else {\n return Math.max(rangeQueryMax(node * 2, lo, mid, fr, mid),\n rangeQueryMax(node * 2 + 1, mid + 1, hi, mid + 1, to)); \n }\n }\n \n public int rangeQueryMin(int fr, int to)\n {\n return rangeQueryMin(1, 0, n-1, fr, to);\n }\n \n public int rangeQueryMin(int node, int lo, int hi, int fr, int to)\n {\n if (lo == fr && hi == to)\n return treeMin[node] + lazy[node];\n \n int mid = (lo + hi) / 2;\n pushDown(node, lo, hi);\n \n if (to <= mid) {\n return rangeQueryMin(node * 2, lo, mid, fr, to);\n }else if (fr > mid)\n return rangeQueryMin(node * 2 + 1, mid + 1, hi, fr, to);\n else {\n return Math.min(rangeQueryMin(node * 2, lo, mid, fr, mid),\n rangeQueryMin(node * 2 + 1, mid + 1, hi, mid + 1, to)); \n }\n }\n \n public void rangeUpdate(int fr, int to, int delta){\n rangeUpdate(1, 0, n-1, fr, to, delta);\n }\n \n \n public void rangeUpdate(int node, int lo, int hi, int fr, int to, int delta){\n pushDown(node, lo, hi);\n if (fr == lo && to == hi)\n {\n lazy[node] = delta;\n return;\n }\n \n int m = (lo + hi) / 2;\n if (to <= m) \n rangeUpdate(node * 2, lo, m, fr, to, delta);\n else if (fr > m)\n rangeUpdate(node * 2 + 1, m + 1, hi, fr, to, delta);\n else {\n rangeUpdate(node * 2, lo, m, fr, m, delta);\n rangeUpdate(node * 2 + 1, m + 1, hi, m + 1, to, delta); \n }\n \n // re-set the in-variant\n pushUp(node, lo, hi);\n }\n \n \n \n public int query(int node, int lo, int hi, int fr, int to)\n {\n if (fr == lo && to == hi)\n return tree[node];\n \n int m = (lo + hi) / 2;\n if (to <= m) \n return query(node * 2, lo, m, fr, to);\n else if (fr > m)\n return query(node * 2 + 1, m + 1, hi, fr, to);\n \n int lid = query(node * 2, lo, m, fr, m);\n int rid = query(node * 2 + 1, m + 1, hi, m + 1, to);\n return a[lid] >= a[rid] ? lid : rid;\n }\n \n \n }\n \n \n private long inv(long v)\n {\n return pow(v, MOD-2);\n }\n \n private long pow(long v, int p)\n {\n long ans = 1;\n while (p > 0)\n {\n if (p % 2 == 1)\n ans = ans * v % MOD;\n v = v * v % MOD;\n p = p / 2;\n }\n return ans;\n }\n \n private double dist(double x, double y, double xx, double yy)\n {\n return Math.sqrt((xx - x) * (xx - x) + (yy - y) * (yy - y));\n }\n \n\n \n \n private int mod_add(int a, int b) {\n int v = a + b;\n if (v >= MOD) v -= MOD;\n return v;\n }\n \n \n private long overlap(int x1, int y1, int x2, int y2, int x3, int y3, int x4, int y4) {\n if (x1 > x3) return overlap(x3, y3, x4, y4, x1, y1, x2, y2);\n \n if (x3 > x2 || y4 < y1 || y3 > y2) return 0L;\n \n //(x3, ?, x2, ?)\n int yL = Math.max(y1, y3);\n int yH = Math.min(y2, y4); \n int xH = Math.min(x2, x4);\n \n return f(x3, yL, xH, yH);\n }\n //return #black cells in rectangle\n private long f(int x1, int y1, int x2, int y2) {\n long dx = 1L + x2 - x1;\n long dy = 1L + y2 - y1;\n if (dx % 2 == 0 || dy % 2 == 0 || (x1 + y1) % 2 == 0) \n return 1L * dx * dy / 2;\n return 1L * dx * dy / 2 + 1;\n }\n \n private int distM(int x, int y, int xx, int yy) {\n return abs(x - xx) + abs(y - yy);\n }\n \n private boolean less(int x, int y, int xx, int yy) {\n return x < xx || y > yy;\n }\n \n private int mul(int x, int y) {\n return (int)(1L * x * y % MOD);\n }\n \n \n \n \n private int nBit1(int v) {\n int v0 = v;\n int c = 0;\n while (v != 0) {\n ++c;\n v = v & (v - 1);\n }\n return c;\n }\n \n private long abs(long v) {\n return v > 0 ? v : -v;\n }\n \n private int abs(int v) {\n return v > 0 ? v : -v;\n }\n \n private int common(int v) {\n int c = 0;\n while (v != 1) {\n v = (v >>> 1);\n ++c;\n }\n \n return c;\n }\n \n private void reverse(char[] a, int i, int j) {\n while (i < j) {\n swap(a, i++, j--);\n }\n }\n \n private void swap(char[] a, int i, int j) {\n char t = a[i];\n a[i] = a[j];\n a[j] = t;\n }\n \n private int gcd(int x, int y) {\n if (y == 0) return x;\n return gcd(y, x % y);\n }\n private long gcd(long x, long y) {\n if (y == 0) return x;\n return gcd(y, x % y);\n }\n private int max(int a, int b) {\n return a > b ? a : b;\n }\n \n private long max(long a, long b) {\n return a > b ? a : b;\n }\n \n private int min(int a, int b) {\n return a > b ? b : a;\n }\n \n private long min(long a, long b) {\n return a > b ? b : a;\n }\n \n static class FastReader\n {\n BufferedReader br;\n StringTokenizer st;\n \n public FastReader(BufferedReader in)\n { \n br = in;\n }\n \n String next()\n {\n while (st == null || !st.hasMoreElements())\n {\n try\n {\n String line = br.readLine();\n if (line == null || line.length() == 0) return \"\";\n st = new StringTokenizer(line);\n }\n catch (IOException e)\n {\n return \"\";\n //e.printStackTrace();\n }\n }\n return st.nextToken();\n }\n \n int nextInt()\n {\n return Integer.parseInt(next());\n }\n \n long nextLong()\n {\n return Long.parseLong(next());\n }\n \n double nextDouble()\n {\n return Double.parseDouble(next());\n }\n \n String nextLine()\n {\n String str = \"\";\n try\n {\n str = br.readLine();\n }\n catch (IOException e)\n {\n return null;\n //e.printStackTrace();\n }\n return str;\n }\n }\n}", "python": null }
Codeforces/1287/B
# Hyperset Bees Alice and Alesya gave beekeeper Polina famous card game "Set" as a Christmas present. The deck consists of cards that vary in four features across three options for each kind of feature: number of shapes, shape, shading, and color. In this game, some combinations of three cards are said to make up a set. For every feature — color, number, shape, and shading — the three cards must display that feature as either all the same, or pairwise different. The picture below shows how sets look. <image> Polina came up with a new game called "Hyperset". In her game, there are n cards with k features, each feature has three possible values: "S", "E", or "T". The original "Set" game can be viewed as "Hyperset" with k = 4. Similarly to the original game, three cards form a set, if all features are the same for all cards or are pairwise different. The goal of the game is to compute the number of ways to choose three cards that form a set. Unfortunately, winter holidays have come to an end, and it's time for Polina to go to school. Help Polina find the number of sets among the cards lying on the table. Input The first line of each test contains two integers n and k (1 ≤ n ≤ 1500, 1 ≤ k ≤ 30) — number of cards and number of features. Each of the following n lines contains a card description: a string consisting of k letters "S", "E", "T". The i-th character of this string decribes the i-th feature of that card. All cards are distinct. Output Output a single integer — the number of ways to choose three cards that form a set. Examples Input 3 3 SET ETS TSE Output 1 Input 3 4 SETE ETSE TSES Output 0 Input 5 4 SETT TEST EEET ESTE STES Output 2 Note In the third example test, these two triples of cards are sets: 1. "SETT", "TEST", "EEET" 2. "TEST", "ESTE", "STES"
[ { "input": { "stdin": "3 3\nSET\nETS\nTSE\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3 4\nSETE\nETSE\nTSES\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "5 4\nSETT\nTEST\nEEET\nESTE\nSTES\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1 1\nT\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 3\nTSS\nSEE\nESS\nSES\nSTS\nTET\nEES\nEEE\nTTS\nTSE\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "3 1\nE\nS\nT\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5 2\nTT\nEE\nTE\nET\nES\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2 2\nES\nTE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "24 4\nSETS\nETES\nSSST\nESTE\nTSES\nSSES\nTESS\nSEEE\nETEE\nETSS\nSSEE\nESTT\nSTSS\nTTTT\nTEEE\nTSEE\nESET\nTTTE\nETTT\nSTEE\nSTTE\nESSS\nTEET\nTETE\n" }, "output": { "stdout": "31\n" } }, { "input": { "stdin": "10 3\nTSS\nSEE\nESS\nSES\nSTS\nTET\nTEE\nSSE\nETS\nTSE\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "3 4\nETES\nETTE\nSSSE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 3\nSETS\nETES\nSTST\nESTE\nSSET\nRSES\nTESS\nESEE\nEETE\nETSS\nEESS\nFSUT\nSUSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nTSSE\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 2\nSE\nDT\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3 4\nSTEE\nETTE\nSSSE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 3\nTST\nSEE\nESS\nSES\nSTS\nTET\nEET\nSSE\nETS\nTSE\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "0 3\nSETS\nETES\nSTST\nESTE\nTSES\nRSES\nTESS\nEESE\nEETE\nETSS\nSSEE\nESUT\nSTSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nESST\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3 4\nSETE\nETTE\nSSSE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2 4\nSETE\nETSE\nSSSE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1 2\nSE\nTE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3 4\nSETE\nESTE\nTTES\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "5 4\nTTES\nTEST\nEEET\nESTE\nSETS\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 3\nSETS\nETES\nSTST\nESTE\nTSES\nRSES\nTESS\nESEE\nEETE\nETSS\nEESS\nESUT\nSTSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nESST\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "5 4\nTTES\nTEST\nEEET\nESTE\nESSS\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 3\nSETS\nETES\nSTST\nESTE\nTSES\nRSES\nTESS\nESEE\nEETE\nETSS\nSSEE\nESUT\nSTSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nESST\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 3\nTTS\nSEE\nESS\nSES\nSTS\nTET\nEET\nSSE\nETS\nTSE\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "3 4\nSETE\nETSE\nSSSE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2 4\nSETE\nETSE\nTSSE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "24 4\nSETS\nETES\nSSST\nESTE\nTSES\nSSES\nTESS\nEESE\nEETE\nETSS\nSSEE\nESTT\nSTSS\nTTTT\nTEEE\nTSEE\nESET\nTTTE\nETTT\nEETS\nSTTE\nESSS\nTEET\nTETE\n" }, "output": { "stdout": "30\n" } }, { "input": { "stdin": "0 4\nSE\nET\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 3\nSETS\nETES\nSTST\nESTE\nSSET\nRSES\nTESS\nESEE\nEETE\nETSS\nEESS\nESUT\nSTSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nESST\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 3\nSETS\nETES\nSTST\nESTE\nSSET\nRSES\nTESS\nEESE\nEETE\nETSS\nEESS\nFSUT\nSUSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nTSSE\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "24 4\nSETS\nETES\nSSST\nESTE\nTSES\nSSES\nSEST\nSEEE\nEETE\nETSS\nSSEE\nESTT\nSTSS\nTTTT\nTEEE\nTSEE\nESET\nTTTE\nETTT\nSTEE\nSTTE\nESSS\nTEET\nTETE\n" }, "output": { "stdout": "24\n" } }, { "input": { "stdin": "3 4\nSETE\nEETS\nSSET\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "24 4\nSESS\nETES\nSSST\nESTE\nTSES\nSSES\nTESS\nEESE\nETEE\nETSS\nSSEE\nESTT\nSTSS\nTTTT\nTEEE\nTSEE\nESET\nTTTE\nETTT\nEESS\nSTTE\nESSS\nTEET\nTETE\n" }, "output": { "stdout": "32\n" } }, { "input": { "stdin": "0 5\nSETS\nETES\nSTST\nESUE\nSSET\nSSES\nTESS\nEESE\nEETE\nETSS\nEESS\nFSUT\nSUSS\nTTTT\nETEE\nTSEE\nEEST\nTTTE\nETTT\nEETS\nSTTE\nTSSE\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 2\nES\nTE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "24 4\nSETS\nETES\nSSST\nESTE\nSEST\nSSES\nTESS\nEESE\nETEE\nETSS\nSSEE\nESTT\nSTSS\nTTTT\nTEEE\nTSEE\nESET\nTTTE\nETTT\nSTEE\nSTTE\nESSS\nTEET\nTETE\n" }, "output": { "stdout": "34\n" } }, { "input": { "stdin": "10 3\nTSS\nSEE\nESS\nSES\nSSS\nTET\nTEE\nSSE\nETS\nTSE\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "0 3\nSETS\nETES\nSTST\nESTE\nSSET\nRSES\nTESS\nESEE\nEETE\nETSS\nEESS\nFSUT\nSUSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nESST\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 4\nSETS\nETES\nSTST\nESTE\nTSES\nRSES\nTESS\nEESE\nEETE\nETSS\nSSEE\nESUT\nSTSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nESST\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "24 4\nSETS\nETES\nSSST\nESTE\nTSES\nSSES\nSEST\nSEEE\nETEE\nETSS\nSSEE\nESTT\nSTSS\nTTTT\nTEEE\nTSEE\nESET\nTTTE\nETTT\nSTEE\nSTTE\nESSS\nTEET\nTETE\n" }, "output": { "stdout": "28\n" } }, { "input": { "stdin": "5 2\nTT\nEE\nTE\nET\nSE\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "0 1\nS\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 5\nSETS\nETES\nSTST\nESUE\nSSET\nSSES\nTESS\nEESE\nEETE\nETSS\nEESS\nFSUT\nSUSS\nTTTT\nETEE\nTSEE\nTESE\nTTTE\nETTT\nEETS\nSTTE\nTSSE\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 4\nSETS\nETES\nSTST\nESTE\nTSES\nSSES\nTESS\nEESE\nEETE\nETSS\nSSEE\nESTT\nSTSS\nTTTT\nETEE\nTSEE\nESET\nTTTE\nETTT\nEETS\nSTTE\nESSS\nTEET\nTETE\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1 1\nS\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "0 2\nES\nET\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1 2\nSE\nTD\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "5 4\nTTES\nTEST\nEEET\nESTE\nESTS\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "3 4\nSETE\nESTE\nTSES\n" }, "output": { "stdout": "0\n" } } ]
{ "tags": [ "brute force", "data structures", "implementation" ], "title": "Hyperset" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nvoid solve() {\n int n, k;\n cin >> n >> k;\n vector<string> v(n);\n for (int i = 0; i < n; i++) {\n cin >> v[i];\n }\n unordered_map<string, int> mp;\n for (int i = 0; i < n; i++) {\n mp[v[i]] = i;\n }\n long long ans = 0;\n for (int i = 0; i < n; i++) {\n for (int j = i + 1; j < n; j++) {\n string s1 = v[i];\n string s2 = v[j];\n string get = \"\";\n for (int i = 0; i < k; i++) {\n if (s1[i] == s2[i]) {\n get += s1[i];\n } else {\n if (s1[i] == 'S') {\n if (s2[i] == 'E') {\n get += 'T';\n } else {\n get += 'E';\n }\n } else if (s1[i] == 'E') {\n if (s2[i] == 'S') {\n get += 'T';\n } else {\n get += 'S';\n }\n } else {\n if (s2[i] == 'S') {\n get += 'E';\n } else {\n get += 'S';\n }\n }\n }\n }\n if (mp[get] > j) {\n ans++;\n }\n }\n }\n cout << ans << \"\\n\";\n return;\n}\nsigned main() {\n auto start = std::chrono::high_resolution_clock::now();\n ios_base::sync_with_stdio(false);\n cin.tie(0);\n cout.tie(0);\n int t = 1;\n while (t--) {\n solve();\n }\n auto stop = std::chrono::high_resolution_clock::now();\n auto duration =\n std::chrono::duration_cast<std::chrono::nanoseconds>(stop - start);\n return 0;\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\npublic class Solution {\n \n public static void main(String[] args) throws IOException{\n BufferedReader br=new BufferedReader(new InputStreamReader(System.in));\n String[] temp=br.readLine().trim().split(\" \");\n int n=Integer.parseInt(temp[0]);\n int k=Integer.parseInt(temp[1]);\n String[] arr=new String[n];\n for(int i=0;i<n;i++){\n arr[i]=br.readLine();\n }\n System.out.println(numWays(arr));\n }\n public static long numWays(String[] arr)\n {\n int n=arr.length;\n int k=arr[0].length();\n long ans=0;\n \n HashMap<String,Integer> hash=new HashMap<>();\n for(int i=0;i<n;i++){\n hash.put(arr[i],i);\n }\n for(int i=0;i<n;i++){\n for(int j=i+1;j<n;j++){\n String requiredCard=\"\";\n for(int l=0;l<k;l++){\n if(arr[i].charAt(l)==arr[j].charAt(l))\n {\n requiredCard+=arr[i].charAt(l);\n }\n else if(arr[i].charAt(l)!='S' && arr[j].charAt(l)!='S'){\n requiredCard+='S';\n }\n else if(arr[i].charAt(l)!='E' && arr[j].charAt(l)!='E'){\n requiredCard+='E';\n }\n else if(arr[i].charAt(l)!='T' && arr[j].charAt(l)!='T'){\n requiredCard+='T';\n }\n }\n if(hash.containsKey(requiredCard)){\n int index=hash.get(requiredCard);\n if(index>j){\n ans++;\n }\n }\n }\n }\n \n return ans;\n }\n}", "python": "n,k=list(map(int,input().split()))\na=[input() for i in range(n)]\nb=set(a)\n\nE=ord(\"S\")+ord(\"E\")+ord(\"T\")\n\nd=0\nfor i in range(n-1):\n for j in range(i+1,n):\n c=''\n for l in range(k):\n if a[i][l]==a[j][l]:\n c=c+a[i][l]\n else:\n c=c+chr(E-ord(a[i][l])-ord(a[j][l]))\n if c in b:\n d=d+1\n\nprint(d//3)" }
Codeforces/1307/B
# Cow and Friend Bessie has way too many friends because she is everyone's favorite cow! Her new friend Rabbit is trying to hop over so they can play! More specifically, he wants to get from (0,0) to (x,0) by making multiple hops. He is only willing to hop from one point to another point on the 2D plane if the Euclidean distance between the endpoints of a hop is one of its n favorite numbers: a_1, a_2, …, a_n. What is the minimum number of hops Rabbit needs to get from (0,0) to (x,0)? Rabbit may land on points with non-integer coordinates. It can be proved that Rabbit can always reach his destination. Recall that the Euclidean distance between points (x_i, y_i) and (x_j, y_j) is √{(x_i-x_j)^2+(y_i-y_j)^2}. For example, if Rabbit has favorite numbers 1 and 3 he could hop from (0,0) to (4,0) in two hops as shown below. Note that there also exists other valid ways to hop to (4,0) in 2 hops (e.g. (0,0) → (2,-√{5}) → (4,0)). <image> Here is a graphic for the first example. Both hops have distance 3, one of Rabbit's favorite numbers. In other words, each time Rabbit chooses some number a_i and hops with distance equal to a_i in any direction he wants. The same number can be used multiple times. Input The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases. Next 2t lines contain test cases — two lines per test case. The first line of each test case contains two integers n and x (1 ≤ n ≤ 10^5, 1 ≤ x ≤ 10^9) — the number of favorite numbers and the distance Rabbit wants to travel, respectively. The second line of each test case contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9) — Rabbit's favorite numbers. It is guaranteed that the favorite numbers are distinct. It is guaranteed that the sum of n over all the test cases will not exceed 10^5. Output For each test case, print a single integer — the minimum number of hops needed. Example Input 4 2 4 1 3 3 12 3 4 5 1 5 5 2 10 15 4 Output 2 3 1 2 Note The first test case of the sample is shown in the picture above. Rabbit can hop to (2,√{5}), then to (4,0) for a total of two hops. Each hop has a distance of 3, which is one of his favorite numbers. In the second test case of the sample, one way for Rabbit to hop 3 times is: (0,0) → (4,0) → (8,0) → (12,0). In the third test case of the sample, Rabbit can hop from (0,0) to (5,0). In the fourth test case of the sample, Rabbit can hop: (0,0) → (5,10√{2}) → (10,0).
[ { "input": { "stdin": "4\n2 4\n1 3\n3 12\n3 4 5\n1 5\n5\n2 10\n15 4\n" }, "output": { "stdout": "2\n3\n1\n2\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 29 96 4 63 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n1 11\n5\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1\n2 9\n2 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 22 12 10 16 2 17 14 7 20 23 9 18 3 19 21 11 1\n" }, "output": { "stdout": "43478261\n" } }, { "input": { "stdin": "1\n1 5\n2\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1\n19 1000000010\n15 8 22 12 10 7 4 9 11 7 20 21 9 14 2 19 21 11 1\n" }, "output": { "stdout": "45454546\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 47 11 96 11 22 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 14 96 3 19 4\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 4 22 12 10 16 2 17 14 7 20 21 9 14 2 19 21 11 1\n" }, "output": { "stdout": "45454546\n" } }, { "input": { "stdin": "4\n2 4\n1 3\n3 9\n4 4 4\n1 5\n5\n2 10\n15 4\n" }, "output": { "stdout": "2\n3\n1\n2\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 8 34 12 13 7 17 9 12 7 20 21 9 14 1 19 21 11 2\n" }, "output": { "stdout": "29705883\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 4 96 4 63 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n1 1\n4\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 11 96 11 22 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 27 36 11 96 7 34 4\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 22 12 10 16 2 17 14 7 20 23 9 14 3 19 21 11 1\n" }, "output": { "stdout": "43478261\n" } }, { "input": { "stdin": "1\n10 999999733\n17 68 91 55 36 29 96 4 48 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "4\n2 4\n1 6\n3 9\n4 4 4\n1 5\n5\n2 19\n15 4\n" }, "output": { "stdout": "2\n3\n1\n2\n" } }, { "input": { "stdin": "1\n19 1010000000\n15 1 8 12 8 3 8 7 18 7 23 10 9 14 1 28 38 11 2\n" }, "output": { "stdout": "26578948\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 29 96 4 48 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 8 67 12 13 7 6 9 12 7 20 29 9 6 1 19 21 11 2\n" }, "output": { "stdout": "15074628\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 1 8 18 13 7 6 9 18 7 20 29 9 7 1 19 38 11 2\n" }, "output": { "stdout": "26578948\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 8 62 18 13 7 6 9 12 7 20 29 9 7 1 19 28 11 2\n" }, "output": { "stdout": "16290323\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 22 12 10 6 4 17 28 7 20 21 9 14 2 19 21 11 1\n" }, "output": { "stdout": "35714286\n" } }, { "input": { "stdin": "1\n19 1010000000\n15 1 8 18 13 3 8 9 18 7 23 29 9 14 1 28 38 11 2\n" }, "output": { "stdout": "26578948\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 29 12 10 16 2 17 14 7 20 21 9 14 3 19 21 11 1\n" }, "output": { "stdout": "34482759\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 48 96 8 22 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 8 34 12 13 7 17 9 12 7 20 29 9 6 1 19 21 11 2\n" }, "output": { "stdout": "29705883\n" } }, { "input": { "stdin": "1\n19 1000000010\n15 8 22 12 10 13 4 9 11 7 20 21 9 14 2 19 21 11 1\n" }, "output": { "stdout": "45454546\n" } }, { "input": { "stdin": "1\n1 7\n5\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 8 62 18 13 7 6 9 18 7 20 29 9 7 1 19 38 11 2\n" }, "output": { "stdout": "16290323\n" } }, { "input": { "stdin": "1\n19 1010000000\n15 1 8 18 13 3 8 9 18 7 23 29 9 14 1 19 38 11 2\n" }, "output": { "stdout": "26578948\n" } }, { "input": { "stdin": "1\n19 1000000010\n15 8 22 12 13 7 4 9 12 7 20 21 9 14 1 19 21 11 1\n" }, "output": { "stdout": "45454546\n" } }, { "input": { "stdin": "1\n10 999999733\n39 18 91 55 36 10 96 3 19 4\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 8 67 18 13 7 6 9 12 7 20 29 9 7 1 19 28 11 2\n" }, "output": { "stdout": "15074628\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 8 34 12 13 7 5 9 12 7 20 21 9 14 1 19 21 11 2\n" }, "output": { "stdout": "29705883\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 22 12 10 6 4 17 14 7 20 21 9 14 2 19 21 11 1\n" }, "output": { "stdout": "45454546\n" } }, { "input": { "stdin": "1\n19 1010000010\n15 1 8 18 13 13 6 9 18 7 23 29 9 7 1 19 38 11 2\n" }, "output": { "stdout": "26578948\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 22 12 10 7 4 9 11 7 20 21 9 14 2 19 21 11 1\n" }, "output": { "stdout": "45454546\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 10 96 7 19 4\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n19 1010000000\n15 1 8 12 8 3 8 9 18 7 23 29 9 14 1 28 38 11 2\n" }, "output": { "stdout": "26578948\n" } }, { "input": { "stdin": "1\n19 1010000000\n15 1 8 18 13 13 8 9 18 7 23 29 9 7 1 19 38 11 2\n" }, "output": { "stdout": "26578948\n" } }, { "input": { "stdin": "1\n19 1010000100\n15 1 8 12 15 3 8 7 18 5 23 10 9 14 1 36 38 11 2\n" }, "output": { "stdout": "26578950\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 22 12 10 16 2 23 14 7 20 23 9 18 3 19 21 11 1\n" }, "output": { "stdout": "43478261\n" } }, { "input": { "stdin": "1\n10 999999733\n39 68 91 55 36 48 96 8 22 3\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 36 16 96 11 34 4\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n19 1000000000\n15 8 22 12 10 7 4 17 11 7 20 21 9 14 2 19 21 11 1\n" }, "output": { "stdout": "45454546\n" } }, { "input": { "stdin": "1\n10 999999733\n25 68 91 55 37 11 96 11 22 4\n" }, "output": { "stdout": "10416664\n" } }, { "input": { "stdin": "1\n10 999999733\n25 31 91 55 36 29 96 8 48 3\n" }, "output": { "stdout": "10416664\n" } } ]
{ "tags": [ "geometry", "greedy", "math" ], "title": "Cow and Friend" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n long long t;\n cin >> t;\n while (t--) {\n long long n, x;\n cin >> n >> x;\n vector<long long> a(n);\n for (int i = (0); i < (n); i++) cin >> a[i];\n long long mx = -1;\n bool eq = false;\n for (int i = (0); i < (n); i++) {\n mx = max(mx, a[i]);\n eq = eq || (x == a[i]);\n }\n if (eq)\n cout << 1 << endl;\n else {\n long long q = x / mx;\n if (x % mx) q++;\n cout << max(2ll, q) << endl;\n }\n }\n}\n", "java": "import java.util.*;\nimport java.io.*;\npublic class cowAndFriend {\n\tstatic FS sc = new FS();\n\tstatic PrintWriter pw = new PrintWriter(System.out);\n\t\n\tpublic static void main(String[] args) {\n\t\tint t = sc.nextInt();\n\t\tfor(int tt = 1; tt <= t; ++tt) {\n\t\t\tint n = sc.nextInt(), x = sc.nextInt();\n\t\t\tint max = 0;\n\t\t\tboolean hasX = false;\n\t\t\tfor(int i = 0; i < n; ++i) {\n\t\t\t\tint in = sc.nextInt();\n\t\t\t\tif(in == x) hasX = true;\n\t\t\t\tif(in > max) max = in;\n\t\t\t}\n\t\t\t\n\t\t\tint out = (x + max - 1) / max;\n\t\t\tif(out == 1 && !hasX) out = 2;\n\t\t\t\n\t\t\tpw.println(out);\n\t\t}\n\t\tpw.flush();\n\t}\n\tstatic class FS {\n\t\tBufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n\t\tStringTokenizer st = new StringTokenizer(\"\");\n\t\tString next() {\n\t\t\twhile(!st.hasMoreElements()) {\n\t\t\t\ttry {\n\t\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\t\t} catch(Exception e) {}\n\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\t\tint nextInt() {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\t\tlong nextLong() {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\t}\n}", "python": "import math\nq = int(input())\nfor _ in range(q):\n n, x = map(int, input().split())\n ints = [int(x) for x in input().split()]\n ints = set(ints)\n max1 = max(ints)\n if max1 > x and not x in ints:\n print(2)\n else:\n print(math.ceil(x/max1))\n" }
Codeforces/1330/B
# Dreamoon Likes Permutations The sequence of m integers is called the permutation if it contains all integers from 1 to m exactly once. The number m is called the length of the permutation. Dreamoon has two permutations p_1 and p_2 of non-zero lengths l_1 and l_2. Now Dreamoon concatenates these two permutations into another sequence a of length l_1 + l_2. First l_1 elements of a is the permutation p_1 and next l_2 elements of a is the permutation p_2. You are given the sequence a, and you need to find two permutations p_1 and p_2. If there are several possible ways to restore them, you should find all of them. (Note that it is also possible that there will be no ways.) Input The first line contains an integer t (1 ≤ t ≤ 10 000) denoting the number of test cases in the input. Each test case contains two lines. The first line contains one integer n (2 ≤ n ≤ 200 000): the length of a. The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ n-1). The total sum of n is less than 200 000. Output For each test case, the first line of output should contain one integer k: the number of ways to divide a into permutations p_1 and p_2. Each of the next k lines should contain two integers l_1 and l_2 (1 ≤ l_1, l_2 ≤ n, l_1 + l_2 = n), denoting, that it is possible to divide a into two permutations of length l_1 and l_2 (p_1 is the first l_1 elements of a, and p_2 is the last l_2 elements of a). You can print solutions in any order. Example Input 6 5 1 4 3 2 1 6 2 4 1 3 2 1 4 2 1 1 3 4 1 3 3 1 12 2 1 3 4 5 6 7 8 9 1 10 2 3 1 1 1 Output 2 1 4 4 1 1 4 2 0 0 1 2 10 0 Note In the first example, two possible ways to divide a into permutations are \{1\} + \{4, 3, 2, 1\} and \{1,4,3,2\} + \{1\}. In the second example, the only way to divide a into permutations is \{2,4,1,3\} + \{2,1\}. In the third example, there are no possible ways.
[ { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n" }, "output": { "stdout": "2\n1 4\n4 1\n1\n4 2\n0\n0\n1\n2 10\n0\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 1\n3\n1 1 2\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 5 7 8 9 1 10 2\n3\n1 1 1\n" }, "output": { "stdout": "2\n1 4\n4 1\n1\n4 2\n0\n0\n0\n0\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 3 9 1 10 2\n3\n1 1 1\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n0\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 2 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 2 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n0\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n2 2 1\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n0\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n0\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n1\n2 10\n0\n" } }, { "input": { "stdin": "6\n5\n1 2 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n" }, 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1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n0\n" } }, { "input": { "stdin": "6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n1 1 2\n" }, "output": { "stdout": "2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n" } } ]
{ "tags": [ "implementation", "math" ], "title": "Dreamoon Likes Permutations" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nbool check(int a[], int start, int end) {\n int len = end - start;\n vector<bool> used(len + 1, false);\n for (int i = start; i < end; i++) {\n if (a[i] > len || used[a[i]]) return false;\n used[a[i]] = true;\n }\n}\nint main() {\n int t;\n cin >> t;\n while (t--) {\n int n;\n cin >> n;\n int a[n];\n int l2 = 0;\n for (int i = 0; i < (n); ++i) {\n cin >> a[i];\n l2 = max(l2, a[i]);\n }\n int l1 = n - l2;\n vector<pair<int, int>> ans;\n if (check(a, 0, l1) && check(a, l1, n)) {\n ans.push_back({l1, n - l1});\n }\n if (l1 != l2 && check(a, 0, l2) && check(a, l2, n)) {\n ans.push_back({l2, n - l2});\n }\n cout << ans.size() << endl;\n for (auto p : ans) {\n cout << p.first << \" \" << p.second << endl;\n }\n }\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\npublic class B {\n public static void main(String[] args) throws IOException {\n Reader in = new Reader();\n int t =in.nextInt();\n for (int i = 0; i < t; i++) {\n int n =in.nextInt();\n TreeSet<Integer> A = new TreeSet<>();\n TreeSet<Integer> B = new TreeSet<>();\n int[] arr = new int[n];\n for (int j = 0; j < n; j++) {\n arr[j]=in.nextInt();\n }\n int maxA=0;\n ArrayList<Integer> Al = new ArrayList<>();\n ArrayList<Integer> Bl = new ArrayList<>();\n for (int j = 0; j < n; j++) {\n maxA=Math.max(arr[j],maxA);\n A.add(arr[j]);\n if(A.size()!=j+1){break;}\n if(A.size()==maxA){ Al.add(j+1); }\n }\n int maxB=0;\n for (int j = 0; j < n; j++) {\n maxB=Math.max(arr[n-1-j],maxB);\n B.add(arr[n-1-j]);\n if(B.size()!=j+1){break;}\n if(B.size()==maxB){ Bl.add(j+1); }\n }\n Collections.reverse(Bl);\n int cnt=0;int cur=n+1;\n ArrayList<Tuple> ans = new ArrayList<>();\n int aptr,bptr;aptr=bptr=0;\n int sA=Al.size(),sB=Bl.size();\n int a,b;\n while(aptr<sA && bptr<sB){\n a=Al.get(aptr);\n b=Bl.get(bptr);\n if(a+b>n){bptr++;}\n else if(a+b<n){\n aptr++;\n }else{\n ans.add(new Tuple(a,b));\n aptr++;bptr++;\n }\n }\n System.out.println(ans.size());\n for (Tuple e:ans) {\n System.out.println(e.a+\" \"+e.b);\n }\n }\n\n\n in.close();\n }\n static class Writer{\n final private int S=1<<16;private DataOutputStream dout;\n private int bp;private byte[] buf;\n public Writer(){\n dout= new DataOutputStream(System.out);\n bp=0;buf = new byte[S];\n }\n public void write(byte[] s,int o,int l){\n for (int i = o; i < l; i++)buf[bp++]=s[i];\n }\n public void write(byte[] s){\n for (int i = 0; i < s.length; i++)buf[bp++]=s[i];\n }\n public void close() throws IOException {\n dout.write(buf,0,bp);dout.close();\n }\n }\n static class Reader {\n final private int BUFFER_SIZE = 1 << 16; private DataInputStream din;\n private byte[] buffer; public int bufferPointer, bytesRead;\n public Reader() throws IOException {\n din = new DataInputStream(System.in);\n buffer = new byte[BUFFER_SIZE]; bufferPointer = bytesRead = 0;\n fillBuffer();\n }\n private void fillBuffer() throws IOException {\n bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);\n if (bytesRead == -1) buffer[0] = -1;\n }\n private byte read() throws IOException {\n if (bufferPointer == bytesRead) fillBuffer();\n return buffer[bufferPointer++];\n }\n public void close() throws IOException {\n if (din == null) return;\n din.close();\n }\n public String nextWord() throws IOException {\n int c; byte[] buf = new byte[64]; // word length\n int cnt=0;\n while((c=read())!=-1){\n if(c=='\\n' || c==' ')break;\n buf[cnt++]=(byte)c;\n }\n return new String(buf,0,cnt);\n }\n public String readLine() throws IOException {\n byte[] buf = new byte[64]; // line length\n int cnt = 0, c;\n while ((c = read()) != -1) {\n if (c == '\\n')break;\n buf[cnt++] = (byte) c;\n }\n return new String(buf, 0, cnt);\n }\n public int nextInt() throws IOException {\n int ret = 0; byte c = read();\n while (c <= ' ') c = read();\n boolean neg = (c == '-');\n if (neg)c = read();\n do{ ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9');\n if (neg) return -ret;\n return ret;\n }\n public double nextDouble() throws IOException {\n double ret = 0, div = 1;\n byte c = read();\n while (c <= ' ') c = read();\n boolean neg = (c == '-');\n if (neg) c = read();\n do {ret = ret * 10 + c - '0'; } while ((c = read()) >= '0' && c <= '9');\n if (c == '.') { while ((c = read()) >= '0' && c <= '9') { ret += (c - '0') / (div *= 10); } }\n if (neg) {return -ret; }else{return ret;}\n }\n }\n}\nclass Tuple{\n int a,b;\n public Tuple(int a, int b){this.a = a; this.b=b;}\n}\n", "python": "from sys import stdin, stdout\nfor _ in range(int(stdin.readline())):\n n = int(stdin.readline())\n arr = list(map(int,stdin.readline().split()))\n a = len(set(arr))\n if a==n:\n print(2)\n print(n,0)\n print(0,n)\n else:\n ans = []\n c = 0\n for t in range(2):\n if set(arr[:a]) == set(range(1, a + 1)) and set(arr[a:]) == set(range(1, n - a + 1)):\n c += 1\n ans.extend([a,n-a])\n if a==n-a:\n break\n a = n-a\n print(c)\n for t in range(0,len(ans),2):\n print(ans[t],ans[t+1])" }
Codeforces/1350/B
# Orac and Models There are n models in the shop numbered from 1 to n, with sizes s_1, s_2, …, s_n. Orac will buy some of the models and will arrange them in the order of increasing numbers (i.e. indices, but not sizes). Orac thinks that the obtained arrangement is beatiful, if for any two adjacent models with indices i_j and i_{j+1} (note that i_j < i_{j+1}, because Orac arranged them properly), i_{j+1} is divisible by i_j and s_{i_j} < s_{i_{j+1}}. For example, for 6 models with sizes \{3, 6, 7, 7, 7, 7\}, he can buy models with indices 1, 2, and 6, and the obtained arrangement will be beautiful. Also, note that the arrangement with exactly one model is also considered beautiful. Orac wants to know the maximum number of models that he can buy, and he may ask you these queries many times. Input The first line contains one integer t\ (1 ≤ t≤ 100): the number of queries. Each query contains two lines. The first line contains one integer n\ (1≤ n≤ 100 000): the number of models in the shop, and the second line contains n integers s_1,...,s_n\ (1≤ s_i≤ 10^9): the sizes of models. It is guaranteed that the total sum of n is at most 100 000. Output Print t lines, the i-th of them should contain the maximum number of models that Orac can buy for the i-th query. Example Input 4 4 5 3 4 6 7 1 4 2 3 6 4 9 5 5 4 3 2 1 1 9 Output 2 3 1 1 Note In the first query, for example, Orac can buy models with indices 2 and 4, the arrangement will be beautiful because 4 is divisible by 2 and 6 is more than 3. By enumerating, we can easily find that there are no beautiful arrangements with more than two models. In the second query, Orac can buy models with indices 1, 3, and 6. By enumerating, we can easily find that there are no beautiful arrangements with more than three models. In the third query, there are no beautiful arrangements with more than one model.
[ { "input": { "stdin": "4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 3 2 1\n1\n9\n" }, "output": { "stdout": "2\n3\n1\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n5 3 4 6\n7\n1 4 2 1 6 4 9\n5\n5 4 6 2 1\n1\n9\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n4\n6 6 3 1\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n" }, "output": { "stdout": "1\n3\n2\n1\n" } }, { "input": { "stdin": "4\n4\n5 6 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 161 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 17 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 10\n5\n5 1 8 2 1\n1\n11\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n4 1 11 2 1\n1\n11\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 102 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n6 6 3 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n" }, "output": { "stdout": "1\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 88 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 85 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 3 1\n1\n11\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 14 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n6 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n" }, "output": { "stdout": "1\n3\n2\n1\n" } }, { "input": { "stdin": "4\n4\n5 6 3 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 42 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 6244\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 45 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 3398 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 72 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n6 6 3 6\n7\n1 1 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n" }, "output": { "stdout": "1\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 159 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 6 2 1\n1\n9\n" }, "output": { "stdout": "2\n3\n2\n1\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 25 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n" }, "output": { "stdout": "4\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } }, { "input": { "stdin": "4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n" }, "output": { "stdout": "3\n1\n1\n7\n" } } ]
{ "tags": [ "dp", "math", "number theory" ], "title": "Orac and Models" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint n;\nint len[1000000 + 5];\nint input[1000000 + 5];\nint ans;\nint get_len(int idx) {\n if (len[idx] != -1) return len[idx];\n len[idx] = 1;\n for (int k = 2; 1LL * k * idx <= n; ++k) {\n int cur = get_len(k * idx) + 1;\n if (input[idx] >= input[k * idx]) continue;\n if (cur > len[idx]) len[idx] = cur;\n }\n if (len[idx] > ans) ans = len[idx];\n return len[idx];\n}\nint main() {\n ios::sync_with_stdio(false);\n cin.tie(NULL);\n int t;\n scanf(\"%d\", &t);\n while (t--) {\n scanf(\"%d\", &n);\n ans = 0;\n for (int i = 1; i <= n; ++i) len[i] = -1;\n for (int i = 1; i <= n; ++i) scanf(\"%d\", &input[i]);\n get_len(1);\n printf(\"%d\\n\", ans);\n }\n return 0;\n}\n", "java": "import java.util.*;\n\npublic class Main{\n public static void main(String[] args)\n {\n Scanner sc=new Scanner(System.in);\n int t=sc.nextInt();\n for(int z=0;z<t;z++)\n {\n int n=sc.nextInt();\n long a[]=new long[n+1];\n int dp[]=new int[n+1];\n for(int i=1;i<=n;i++)\n {\n a[i]=sc.nextLong();\n dp[i]=1;\n }\n int max=1;\n for(int i=1;i<=n;i++)\n {\n for(int j=2*i;j<=n;j+=i)\n {\n if(a[j]>a[i] && dp[j]<dp[i]+1)\n {\n dp[j]=dp[i]+1;\n max=Math.max(max,dp[j]);\n }\n }\n }\n System.out.println(max);\n } \n }\n}", "python": "t = int(input())\n\nfor xx in range(t):\n\tn = int(input())\n\ts = list(map(int,input().split()))\n\tlis = [1 for i in range(n)]\n\tfor i in range(n):\n\t\tj = 2\n\t\twhile(j*(i+1)<=n):\n\t\t\tif s[j*(i+1)-1] > s[i]:\n\t\t\t\tlis[j*(i+1)-1] = max(lis[j*(i+1)-1],lis[i]+1)\n\t\t\tj += 1\n\tprint(max(lis))" }
Codeforces/1370/E
# Binary Subsequence Rotation Naman has two binary strings s and t of length n (a binary string is a string which only consists of the characters "0" and "1"). He wants to convert s into t using the following operation as few times as possible. In one operation, he can choose any subsequence of s and rotate it clockwise once. For example, if s = 1110100, he can choose a subsequence corresponding to indices (1-based) \{2, 6, 7 \} and rotate them clockwise. The resulting string would then be s = 1010110. A string a is said to be a subsequence of string b if a can be obtained from b by deleting some characters without changing the ordering of the remaining characters. To perform a clockwise rotation on a sequence c of size k is to perform an operation which sets c_1:=c_k, c_2:=c_1, c_3:=c_2, …, c_k:=c_{k-1} simultaneously. Determine the minimum number of operations Naman has to perform to convert s into t or say that it is impossible. Input The first line contains a single integer n (1 ≤ n ≤ 10^6) — the length of the strings. The second line contains the binary string s of length n. The third line contains the binary string t of length n. Output If it is impossible to convert s to t after any number of operations, print -1. Otherwise, print the minimum number of operations required. Examples Input 6 010000 000001 Output 1 Input 10 1111100000 0000011111 Output 5 Input 8 10101010 01010101 Output 1 Input 10 1111100000 1111100001 Output -1 Note In the first test, Naman can choose the subsequence corresponding to indices \{2, 6\} and rotate it once to convert s into t. In the second test, he can rotate the subsequence corresponding to all indices 5 times. It can be proved, that it is the minimum required number of operations. In the last test, it is impossible to convert s into t.
[ { "input": { "stdin": "10\n1111100000\n1111100001\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "6\n010000\n000001\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n1111100000\n0000011111\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "8\n10101010\n01010101\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n1010111110\n1011101101\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "12\n011001010101\n111001010101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1100000100\n0010000011\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "10\n0111101111\n0111111110\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n000\n000\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "5\n10100\n01010\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n11011\n10111\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "9\n111110000\n111100000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1010011100\n1001101101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "3\n010\n100\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n1010111110\n1011111101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1111100000\n0011011001\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "10\n0100100111\n0010010011\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1111100000\n0010011101\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "5\n01011\n00111\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n0100110110\n0010010011\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1111100000\n0000011101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "9\n111010000\n111100000\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n01010\n10101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5\n11011\n00111\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5\n01010\n00111\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n0100100100\n0010000011\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "5\n10101\n00110\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n0110111111\n1001111101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "9\n111010000\n111100001\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1100100100\n1010001011\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5\n01010\n00001\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n0111001111\n0111111110\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "9\n111011000\n111100001\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "10\n1010011110\n1001111101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5\n01010\n00101\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n100\n000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5\n11010\n10011\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n010\n000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5\n10100\n01110\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5\n01010\n00011\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n0100100110\n0010000011\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "8\n10101010\n01011101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1100000100\n0010000001\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "9\n111010000\n011101000\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n1111100000\n0011011101\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "12\n011101010101\n111001010101\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n1100100100\n1010000011\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "5\n10101\n01100\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n0100100110\n0010010011\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8\n10001011\n01010101\n" }, "output": { "stdout": "2\n" } } ]
{ "tags": [ "binary search", "constructive algorithms", "data structures", "greedy" ], "title": "Binary Subsequence Rotation" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nvoid fast() {\n ios_base::sync_with_stdio(false);\n cin.tie(NULL);\n}\nvector<string> vec_splitter(string s) {\n s += ',';\n vector<string> res;\n while (!s.empty()) {\n res.push_back(s.substr(0, s.find(',')));\n s = s.substr(s.find(',') + 1);\n }\n return res;\n}\nvoid debug_out(vector<string> __attribute__((unused)) args,\n __attribute__((unused)) int idx,\n __attribute__((unused)) int LINE_NUM) {\n cerr << endl;\n}\ntemplate <typename Head, typename... Tail>\nvoid debug_out(vector<string> args, int idx, int LINE_NUM, Head H, Tail... T) {\n if (idx > 0)\n cerr << \", \";\n else\n cerr << \"Line(\" << LINE_NUM << \") \";\n stringstream ss;\n ss << H;\n cerr << args[idx] << \" = \" << ss.str();\n debug_out(args, idx + 1, LINE_NUM, T...);\n}\ndouble get_time() { return 1.0 * clock() / CLOCKS_PER_SEC; }\nint main() {\n fast();\n int n;\n string s, t;\n cin >> n >> s >> t;\n vector<int> v;\n for (int i = 0; i < n; i++) {\n if (s[i] == t[i]) continue;\n if (s[i] == '1')\n v.push_back(1);\n else\n v.push_back(-1);\n }\n n = v.size();\n int best = 0;\n vector<int> dp(n + 1);\n for (int i = 0; i < (int)v.size(); i++) {\n dp[i + 1] = max(dp[i] + v[i], 0);\n best = max(best, dp[i + 1]);\n }\n for (int i = 0; i < (int)v.size(); i++) {\n dp[i + 1] = max(dp[i] - v[i], 0);\n best = max(best, dp[i + 1]);\n }\n sort((s).begin(), (s).end());\n sort((t).begin(), (t).end());\n if (s != t) best = -1;\n cout << best << '\\n';\n}\n", "java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.InputMismatchException;\nimport java.io.IOException;\nimport java.util.TreeSet;\nimport java.util.ArrayList;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n *\n * @author Sparsh Sanchorawala\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n EBinarySubsequenceRotation solver = new EBinarySubsequenceRotation();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class EBinarySubsequenceRotation {\n public void solve(int testNumber, InputReader s, PrintWriter w) {\n int n = s.nextInt();\n char[] a = s.next().toCharArray();\n char[] b = s.next().toCharArray();\n int ca = 0, cb = 0;\n for (int i = 0; i < n; i++) {\n ca += a[i] - '0';\n cb += b[i] - '0';\n }\n if (ca != cb) {\n w.println(-1);\n return;\n }\n ArrayList<Integer> c = new ArrayList<>();\n TreeSet<Integer>[] ts = new TreeSet[2];\n ts[0] = new TreeSet<>();\n ts[1] = new TreeSet<>();\n for (int i = 0; i < n; i++) {\n if (a[i] != b[i]) {\n c.add(a[i] - '0');\n ts[a[i] - '0'].add(i);\n }\n }\n int res = 0;\n while (!ts[0].isEmpty()) {\n int p = 0;\n if (ts[0].first() > ts[1].first())\n p = 1;\n int i = -1;\n while (true) {\n if (ts[p].higher(i) == null)\n break;\n int i1 = ts[p].higher(i);\n if (ts[p ^ 1].higher(i1) == null)\n break;\n int i2 = ts[p ^ 1].higher(i1);\n ts[p].remove(i1);\n ts[p ^ 1].remove(i2);\n i = i2;\n }\n res++;\n }\n w.println(res);\n }\n\n }\n\n static class InputReader {\n private InputStream stream;\n private byte[] buf = new byte[1024];\n private int curChar;\n private int numChars;\n private InputReader.SpaceCharFilter filter;\n\n public InputReader(InputStream stream) {\n this.stream = stream;\n }\n\n public int read() {\n if (numChars == -1) {\n throw new InputMismatchException();\n }\n if (curChar >= numChars) {\n curChar = 0;\n try {\n numChars = stream.read(buf);\n } catch (IOException e) {\n throw new InputMismatchException();\n }\n if (numChars <= 0) {\n return -1;\n }\n }\n return buf[curChar++];\n }\n\n public int nextInt() {\n int c = read();\n while (isSpaceChar(c)) {\n c = read();\n }\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n int res = 0;\n do {\n if (c < '0' || c > '9') {\n throw new InputMismatchException();\n }\n res *= 10;\n res += c - '0';\n c = read();\n } while (!isSpaceChar(c));\n return res * sgn;\n }\n\n public String nextString() {\n int c = read();\n while (isSpaceChar(c)) {\n c = read();\n }\n StringBuilder res = new StringBuilder();\n do {\n if (Character.isValidCodePoint(c)) {\n res.appendCodePoint(c);\n }\n c = read();\n } while (!isSpaceChar(c));\n return res.toString();\n }\n\n public boolean isSpaceChar(int c) {\n if (filter != null) {\n return filter.isSpaceChar(c);\n }\n return isWhitespace(c);\n }\n\n public static boolean isWhitespace(int c) {\n return c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n }\n\n public String next() {\n return nextString();\n }\n\n public interface SpaceCharFilter {\n public boolean isSpaceChar(int ch);\n\n }\n\n }\n}\n\n", "python": "from __future__ import division, print_function\nfrom itertools import permutations \nimport threading,bisect,math,heapq,sys\nfrom collections import deque\n# threading.stack_size(2**27)\n# sys.setrecursionlimit(10**4)\nfrom sys import stdin, stdout\ni_m=9223372036854775807 \ndef cin():\n return map(int,sin().split())\ndef ain(): #takes array as input\n return list(map(int,sin().split()))\ndef sin():\n return input()\ndef inin():\n return int(input()) \nprime=[]\ndef dfs(n,d,v):\n v[n]=1\n x=d[n]\n for i in x:\n if i not in v:\n dfs(i,d,v)\n return p \ndef block(x): \n \n v = [] \n while (x > 0): \n v.append(int(x % 2)) \n x = int(x / 2) \n ans=[]\n for i in range(0, len(v)): \n if (v[i] == 1): \n ans.append(2**i) \n return ans \n\"\"\"**************************MAIN*****************************\"\"\"\ndef main():\n n=inin()\n a=sin()\n b=sin()\n x=a.count('1')\n y=b.count('1')\n if x!=y:\n print(-1)\n else:\n s=[]\n for i in range(n):\n if a[i]!=b[i]:\n s.append(a[i])\n # print(s)\n ans=0\n n=len(s)\n an=aan=0\n for i in range(n):\n if s[i]=='1':\n if aan>0:\n aan-=1\n an+=1\n else:\n if an>0:\n an-=1\n aan+=1\n ans=max(ans,an,aan)\n print(ans)\n\n\"\"\"***********************************************\"\"\"\ndef intersection(l,r,ll,rr):\n # print(l,r,ll,rr)\n if (ll > r or rr < l): \n return 0\n else: \n l = max(l, ll) \n r = min(r, rr)\n return max(0,r-l+1) \n######## Python 2 and 3 footer by Pajenegod and c1729\nfac=[]\ndef fact(n,mod):\n global fac\n fac.append(1)\n for i in range(1,n+1):\n fac.append((fac[i-1]*i)%mod)\n f=fac[:]\n return f\ndef nCr(n,r,mod):\n global fac\n x=fac[n]\n y=fac[n-r]\n z=fac[r]\n x=moddiv(x,y,mod)\n return moddiv(x,z,mod)\ndef moddiv(m,n,p):\n x=pow(n,p-2,p)\n return (m*x)%p\ndef GCD(x, y): \n x=abs(x)\n y=abs(y)\n if(min(x,y)==0):\n return max(x,y)\n while(y): \n x, y = y, x % y \n return x \ndef Divisors(n) : \n l = [] \n ll=[]\n for i in range(1, int(math.sqrt(n) + 1)) :\n if (n % i == 0) : \n if (n // i == i) : \n l.append(i) \n else : \n l.append(i)\n ll.append(n//i)\n l.extend(ll[::-1])\n return l\ndef SieveOfEratosthenes(n): \n global prime\n prime = [True for i in range(n+1)] \n p = 2\n while (p * p <= n): \n if (prime[p] == True): \n for i in range(p * p, n+1, p): \n prime[i] = False\n p += 1\n f=[]\n for p in range(2, n): \n if prime[p]: \n f.append(p)\n return f\ndef primeFactors(n): \n a=[]\n while n % 2 == 0: \n a.append(2) \n n = n // 2 \n for i in range(3,int(math.sqrt(n))+1,2): \n while n % i== 0: \n a.append(i) \n n = n // i \n if n > 2: \n a.append(n)\n return a\n\"\"\"*******************************************************\"\"\"\npy2 = round(0.5)\nif py2:\n from future_builtins import ascii, filter, hex, map, oct, zip\n range = xrange\nimport os\nfrom io import IOBase, BytesIO\nBUFSIZE = 8192\nclass FastIO(BytesIO):\n newlines = 0\n \n def __init__(self, file):\n self._file = file\n self._fd = file.fileno()\n self.writable = \"x\" in file.mode or \"w\" in file.mode\n self.write = super(FastIO, self).write if self.writable else None\n \n def _fill(self):\n s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.seek((self.tell(), self.seek(0,2), super(FastIO, self).write(s))[0])\n return s\n \n def read(self):\n while self._fill(): pass\n return super(FastIO,self).read()\n \n def readline(self):\n while self.newlines == 0:\n s = self._fill(); self.newlines = s.count(b\"\\n\") + (not s)\n self.newlines -= 1\n return super(FastIO, self).readline()\n \n def flush(self):\n if self.writable:\n os.write(self._fd, self.getvalue())\n self.truncate(0), self.seek(0)\n \nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n if py2:\n self.write = self.buffer.write\n self.read = self.buffer.read\n self.readline = self.buffer.readline\n else:\n self.write = lambda s:self.buffer.write(s.encode('ascii'))\n self.read = lambda:self.buffer.read().decode('ascii')\n self.readline = lambda:self.buffer.readline().decode('ascii')\n \nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip('\\r\\n') \n# Cout implemented in Python\nclass ostream:\n def __lshift__(self,a):\n sys.stdout.write(str(a))\n return self\ncout = ostream()\nendl = '\\n'\n \n# Read all remaining integers in stdin, type is given by optional argument, this is fast\ndef readnumbers(zero = 0):\n conv = ord if py2 else lambda x:x\n A = []; numb = zero; sign = 1; i = 0; s = sys.stdin.buffer.read()\n try:\n while True:\n if s[i] >= b'R' [0]:\n numb = 10 * numb + conv(s[i]) - 48\n elif s[i] == b'-' [0]: sign = -1\n elif s[i] != b'\\r' [0]:\n A.append(sign*numb)\n numb = zero; sign = 1\n i += 1\n except:pass\n if s and s[-1] >= b'R' [0]:\n A.append(sign*numb)\n return A\n \n# threading.Thread(target=main).start()\nif __name__== \"__main__\":\n main()" }
Codeforces/1393/A
# Rainbow Dash, Fluttershy and Chess Coloring One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal. The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Fluttershy have flat square blocks with size 1×1, Rainbow Dash has an infinite amount of light blue blocks, Fluttershy has an infinite amount of yellow blocks. The blocks are placed according to the following rule: each newly placed block must touch the built on the previous turns figure by a side (note that the outline borders of the grid are built initially). At each turn, one pony can place any number of blocks of her color according to the game rules. Rainbow and Fluttershy have found out that they can build patterns on the grid of the game that way. They have decided to start with something simple, so they made up their mind to place the blocks to form a chess coloring. Rainbow Dash is well-known for her speed, so she is interested in the minimum number of turns she and Fluttershy need to do to get a chess coloring, covering the whole grid with blocks. Please help her find that number! Since the ponies can play many times on different boards, Rainbow Dash asks you to find the minimum numbers of turns for several grids of the games. The chess coloring in two colors is the one in which each square is neighbor by side only with squares of different colors. Input The first line contains a single integer T (1 ≤ T ≤ 100): the number of grids of the games. Each of the next T lines contains a single integer n (1 ≤ n ≤ 10^9): the size of the side of the grid of the game. Output For each grid of the game print the minimum number of turns required to build a chess coloring pattern out of blocks on it. Example Input 2 3 4 Output 2 3 Note For 3×3 grid ponies can make two following moves: <image>
[ { "input": { "stdin": "2\n3\n4\n" }, "output": { "stdout": "2\n3\n" } }, { "input": { "stdin": "1\n10000001\n" }, "output": { "stdout": "5000001\n" } }, { "input": { "stdin": "1\n69\n" }, "output": { "stdout": "35\n" } }, { "input": { "stdin": "1\n01100011\n" }, "output": { "stdout": "550006\n" } }, { "input": { "stdin": "1\n00001100\n" }, "output": { "stdout": "551\n" } }, { "input": { "stdin": "1\n01110111\n" }, "output": { "stdout": "555056\n" } }, { "input": { "stdin": "1\n01001000\n" }, "output": { "stdout": "500501\n" } }, { "input": { "stdin": "1\n01110000\n" }, "output": { "stdout": "555001\n" } }, { "input": { "stdin": "1\n01001111\n" }, "output": { "stdout": "500556\n" } }, { "input": { "stdin": "1\n11000100\n" }, "output": { "stdout": "5500051\n" } }, { "input": { "stdin": "1\n01110101\n" }, "output": { "stdout": "555051\n" } }, { "input": { "stdin": "1\n10111000\n" }, "output": { "stdout": "5055501\n" } }, { "input": { "stdin": "1\n11001110\n" }, "output": { "stdout": "5500556\n" } }, { "input": { "stdin": "1\n10000101\n" }, "output": { "stdout": "5000051\n" } }, { "input": { "stdin": "1\n01011101\n" }, "output": { "stdout": "505551\n" } }, { "input": { "stdin": "1\n11000001\n" }, "output": { "stdout": "5500001\n" } }, { "input": { "stdin": "1\n30\n" }, "output": { "stdout": "16\n" } }, { "input": { "stdin": "1\n10010011\n" }, "output": { "stdout": "5005006\n" } }, { "input": { "stdin": "1\n10010100\n" }, "output": { "stdout": "5005051\n" } }, { "input": { "stdin": "1\n10100110\n" }, "output": { "stdout": "5050056\n" } }, { "input": { "stdin": "1\n24\n" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "1\n11110000\n" }, "output": { "stdout": "5555001\n" } }, { "input": { "stdin": "1\n00110101\n" }, "output": { "stdout": "55051\n" } }, { "input": { "stdin": "1\n01010011\n" }, "output": { "stdout": "505006\n" } }, { "input": { "stdin": "1\n10000100\n" }, "output": { "stdout": "5000051\n" } }, { "input": { "stdin": "1\n10000000\n" }, "output": { "stdout": "5000001\n" } }, { "input": { "stdin": "1\n01000001\n" }, "output": { "stdout": "500001\n" } }, { "input": { "stdin": "1\n00101100\n" }, "output": { "stdout": "50551\n" } }, { "input": { "stdin": "1\n10110111\n" }, "output": { "stdout": "5055056\n" } }, { "input": { "stdin": "1\n10111111\n" }, "output": { "stdout": "5055556\n" } }, { "input": { "stdin": "1\n01011111\n" }, "output": { "stdout": "505556\n" } }, { "input": { "stdin": "1\n01000110\n" }, "output": { "stdout": "500056\n" } }, { "input": { "stdin": "1\n8\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "1\n01000101\n" }, "output": { "stdout": "500051\n" } }, { "input": { "stdin": "1\n00011110\n" }, "output": { "stdout": "5556\n" } }, { "input": { "stdin": "1\n01001010\n" }, "output": { "stdout": "500506\n" } }, { "input": { "stdin": "1\n00111101\n" }, "output": { "stdout": "55551\n" } }, { "input": { "stdin": "1\n01100000\n" }, "output": { "stdout": "550001\n" } }, { "input": { "stdin": "1\n11001100\n" }, "output": { "stdout": "5500551\n" } }, { "input": { "stdin": "1\n01010101\n" }, "output": { "stdout": "505051\n" } }, { "input": { "stdin": "1\n01011001\n" }, "output": { "stdout": "505501\n" } }, { "input": { "stdin": "1\n10111110\n" }, "output": { "stdout": "5055556\n" } }, { "input": { "stdin": "1\n70\n" }, "output": { "stdout": "36\n" } }, { "input": { "stdin": "1\n00111110\n" }, "output": { "stdout": "55556\n" } }, { "input": { "stdin": "1\n00001000\n" }, "output": { "stdout": "501\n" } }, { "input": { "stdin": "1\n01100010\n" }, "output": { "stdout": "550006\n" } }, { "input": { "stdin": "1\n11011001\n" }, "output": { "stdout": "5505501\n" } }, { "input": { "stdin": "1\n01000000\n" }, "output": { "stdout": "500001\n" } }, { "input": { "stdin": "1\n10100000\n" }, "output": { "stdout": "5050001\n" } }, { "input": { "stdin": "1\n00101101\n" }, "output": { "stdout": "50551\n" } } ]
{ "tags": [ "greedy", "math" ], "title": "Rainbow Dash, Fluttershy and Chess Coloring" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long int factorial(long long int n) {\n return (n == 1 || n == 0) ? 1 : n * factorial(n - 1);\n}\nlong long int gcd(long long int a, long long int b) {\n if (a == 0) return b;\n return gcd(b % a, a);\n}\nlong long int lcm(long long int a, long long int b) {\n return (a * b) / gcd(a, b);\n}\nbool sortByVal(const pair<double, double> &a, const pair<double, double> &b) {\n if (a.first == b.first) {\n return (a.second > b.second);\n } else\n return (a.first < b.first);\n}\nint main() {\n long long int t = 1;\n cin >> t;\n while (t--) {\n long long int n, m, i, j, k, l, r, sum = 0, b, c = 0, d = 0, ans = 0;\n cin >> n;\n cout << n / 2 + 1 << endl;\n }\n return 0;\n}\n", "java": "\nimport java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.util.ArrayList;\nimport java.util.Collections;\nimport java.util.StringTokenizer;\n\npublic class A {\n\n\tpublic static void main(String[] args) {\n\t\tFastScanner in = new FastScanner();\n\t\tint T = in.nextInt();\n\t\tfor (int tt = 0; tt < T; tt++) {\n\t\t\tint n = in.nextInt();\n\t\t\tif (n == 1) {\n\t\t\t\tSystem.out.println(1);\n\t\t\t} else if (n == 2) {\n\t\t\t\tSystem.out.println(2);\n\t\t\t} else {\n\t\t\t\tlong ans = n / 2 + 1;\n\t\t\t\tSystem.out.println(ans);\n\t\t\t}\n\t\t}\n\t}\n\n\tstatic void sort(int[] a) {\n\t\tArrayList<Integer> l = new ArrayList<>();\n\t\tfor (int i : a)\n\t\t\tl.add(i);\n\t\tCollections.sort(l);\n\t\tfor (int i = 0; i < a.length; i++)\n\t\t\ta[i] = l.get(i);\n\t}\n\n\tstatic class FastScanner {\n\t\tBufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n\t\tStringTokenizer st = new StringTokenizer(\"\");\n\n\t\tString next() {\n\t\t\twhile (!st.hasMoreTokens())\n\t\t\t\ttry {\n\t\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\n\t\tint nextInt() {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\n\t\tint[] readArray(int n) {\n\t\t\tint[] a = new int[n];\n\t\t\tfor (int i = 0; i < n; i++)\n\t\t\t\ta[i] = nextInt();\n\t\t\treturn a;\n\t\t}\n\n\t\tlong nextLong() {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\t}\n\n}", "python": "def tran(arr):\n return (arr//2)+1\n\nif __name__ == '__main__':\n t = int(input())\n ans = []\n for i in range(t):\n arr = int(input())\n r = tran(arr)\n ans.append(r)\n for i in ans:\n print(i)" }
Codeforces/1417/F
# Graph and Queries You are given an undirected graph consisting of n vertices and m edges. Initially there is a single integer written on every vertex: the vertex i has p_i written on it. All p_i are distinct integers from 1 to n. You have to process q queries of two types: * 1 v — among all vertices reachable from the vertex v using the edges of the graph (including the vertex v itself), find a vertex u with the largest number p_u written on it, print p_u and replace p_u with 0; * 2 i — delete the i-th edge from the graph. Note that, in a query of the first type, it is possible that all vertices reachable from v have 0 written on them. In this case, u is not explicitly defined, but since the selection of u does not affect anything, you can choose any vertex reachable from v and print its value (which is 0). Input The first line contains three integers n, m and q (1 ≤ n ≤ 2 ⋅ 10^5; 1 ≤ m ≤ 3 ⋅ 10^5; 1 ≤ q ≤ 5 ⋅ 10^5). The second line contains n distinct integers p_1, p_2, ..., p_n, where p_i is the number initially written on vertex i (1 ≤ p_i ≤ n). Then m lines follow, the i-th of them contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ n, a_i ≠ b_i) and means that the i-th edge connects vertices a_i and b_i. It is guaranteed that the graph does not contain multi-edges. Then q lines follow, which describe the queries. Each line is given by one of the following formats: * 1 v — denotes a query of the first type with a vertex v (1 ≤ v ≤ n). * 2 i — denotes a query of the second type with an edge i (1 ≤ i ≤ m). For each query of the second type, it is guaranteed that the corresponding edge is not deleted from the graph yet. Output For every query of the first type, print the value of p_u written on the chosen vertex u. Example Input 5 4 6 1 2 5 4 3 1 2 2 3 1 3 4 5 1 1 2 1 2 3 1 1 1 2 1 2 Output 5 1 2 0
[ { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 1\n2 3\n1 1\n1 2\n1 2\n" }, "output": { "stdout": "5\n1\n2\n0\n" } }, { "input": { "stdin": "9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n5 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 7\n1 7\n2 3\n1 2\n1 1\n1 2\n" }, "output": { "stdout": "6\n9\n5\n8\n1\n7\n0\n0\n0\n0\n0\n4\n0\n" } }, { "input": { "stdin": "2 1 3\n1 2\n1 2\n1 1\n1 1\n1 1\n" }, "output": { "stdout": "2\n1\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n5\n4\n3\n" } }, { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 1\n2 3\n1 1\n1 2\n1 3\n" }, "output": { "stdout": "5\n1\n2\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n1 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n5\n4\n2\n3\n" } }, { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 2\n2 3\n1 1\n1 2\n1 2\n" }, "output": { "stdout": "5\n2\n1\n0\n" } }, { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n4 3\n1 3\n4 4\n1 1\n2 1\n2 3\n1 1\n1 2\n1 2\n" }, "output": { "stdout": "5\n1\n2\n0\n" } }, { "input": { "stdin": "2 1 3\n1 2\n1 2\n1 1\n1 1\n2 1\n" }, "output": { "stdout": "2\n1\n" } }, { "input": { "stdin": "6 5 8\n1 1 6 3 2 5\n2 3\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n3\n5\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 5\n2 4\n2 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "5\n6\n1\n3\n" } }, { "input": { "stdin": "9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n5 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 4\n1 7\n2 3\n1 2\n1 1\n1 2\n" }, "output": { "stdout": "6\n9\n5\n8\n1\n7\n0\n0\n0\n0\n0\n4\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n6 5\n1 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n3\n5\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 1\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n4\n3\n0\n" } }, { "input": { "stdin": "2 1 3\n1 0\n1 2\n1 1\n1 1\n1 1\n" }, "output": { "stdout": "1\n0\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 5\n2 4\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n5\n4\n3\n" } }, { "input": { "stdin": "9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n4 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 2\n1 7\n1 7\n2 3\n1 2\n1 1\n1 2\n" }, "output": { "stdout": "5\n9\n0\n8\n1\n7\n0\n0\n6\n0\n0\n4\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 5\n2 3\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n3\n5\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n5\n4\n3\n" } }, { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n2 5\n1 1\n2 2\n2 3\n1 1\n1 2\n1 2\n" }, "output": { "stdout": "5\n3\n2\n1\n" } }, { "input": { "stdin": "6 5 8\n1 1 6 3 4 5\n2 3\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n3\n5\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 1\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 2\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n4\n3\n0\n" } }, { "input": { "stdin": "9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n4 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 7\n1 7\n2 3\n1 2\n1 1\n1 2\n" }, "output": { "stdout": "5\n9\n0\n8\n1\n7\n0\n0\n6\n0\n0\n4\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 6 3 4 1\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 5\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "6\n4\n3\n0\n" } }, { "input": { "stdin": "9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n5 7\n1 2\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 4\n1 7\n2 3\n1 2\n1 1\n1 2\n" }, "output": { "stdout": "6\n9\n5\n8\n7\n4\n0\n0\n0\n0\n2\n1\n0\n" } }, { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 4\n1 1\n2 1\n2 3\n1 1\n1 1\n1 2\n" }, "output": { "stdout": "5\n1\n0\n2\n" } }, { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 2\n2 3\n1 1\n1 4\n1 2\n" }, "output": { "stdout": "5\n2\n4\n1\n" } }, { "input": { "stdin": "5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 4\n1 1\n2 1\n2 3\n1 1\n1 2\n1 2\n" }, "output": { "stdout": "5\n1\n2\n0\n" } }, { "input": { "stdin": "2 1 3\n1 2\n1 2\n1 1\n1 2\n1 1\n" }, "output": { "stdout": "2\n1\n0\n" } }, { "input": { "stdin": "6 5 8\n1 2 2 3 4 5\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n" }, "output": { "stdout": "5\n4\n3\n0\n" } } ]
{ "tags": [ "data structures", "dsu", "graphs", "implementation", "trees" ], "title": "Graph and Queries" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int mod = 1e9 + 7;\nconst int N = 5e5 + 5;\nconst int M = 7e5 + 5;\nint p[M], fa[M], id[M];\nint u[N], v[N], vis[N], op[N][2];\nvector<int> G[M];\nint fid(int x) { return fa[x] == x ? x : fa[x] = fid(fa[x]); }\nint in[M], out[M], cnt, pos[M];\nvoid dfs(int x) {\n in[x] = ++cnt;\n pos[cnt] = x;\n for (int i : G[x]) {\n dfs(i);\n }\n out[x] = cnt;\n}\nstruct node {\n int x, id;\n} tree[M << 2];\nvoid pushup(int root) {\n if (tree[root << 1].x > tree[root << 1 | 1].x)\n tree[root] = tree[root << 1];\n else\n tree[root] = tree[root << 1 | 1];\n}\nvoid build(int root, int l, int r) {\n if (l == r) {\n tree[root].x = p[pos[l]];\n tree[root].id = l;\n return;\n }\n int mid = (l + r) >> 1;\n build(root << 1, l, mid);\n build(root << 1 | 1, mid + 1, r);\n pushup(root);\n}\nvoid update(int root, int l, int r, int po) {\n if (l == r) {\n tree[root].x = 0;\n return;\n }\n int mid = (l + r) >> 1;\n if (po <= mid)\n update(root << 1, l, mid, po);\n else\n update(root << 1 | 1, mid + 1, r, po);\n pushup(root);\n}\nnode query(int root, int l, int r, int L, int R) {\n if (L <= l && r <= R) {\n return tree[root];\n }\n int mid = (l + r) >> 1;\n node tmp1, tmp2;\n tmp1.x = tmp2.x = 0;\n if (L <= mid) tmp1 = query(root << 1, l, mid, L, R);\n if (R > mid) tmp2 = query(root << 1 | 1, mid + 1, r, L, R);\n if (tmp1.x > tmp2.x) return tmp1;\n return tmp2;\n}\nint main() {\n int n, m, q;\n scanf(\"%d%d%d\", &n, &m, &q);\n for (int i = 1; i <= n; i++) {\n fa[i] = i;\n scanf(\"%d\", &p[i]);\n }\n for (int i = 1; i <= m; i++) {\n scanf(\"%d%d\", &u[i], &v[i]);\n }\n for (int i = 1; i <= q; i++) {\n fa[n + i] = n + i;\n scanf(\"%d%d\", &op[i][0], &op[i][1]);\n if (op[i][0] == 2) {\n vis[op[i][1]] = 1;\n }\n }\n for (int i = 1; i <= m; i++) {\n if (vis[i]) continue;\n int uu = fid(u[i]), vv = fid(v[i]);\n if (uu == vv) continue;\n fa[uu] = vv;\n G[vv].push_back(uu);\n }\n for (int i = q; i > 0; i--) {\n int x = op[i][1];\n if (op[i][0] == 1) {\n id[i] = fid(x);\n continue;\n }\n int uu = fid(u[x]), vv = fid(v[x]);\n if (uu != vv) {\n n++;\n fa[uu] = fa[vv] = n;\n G[n].push_back(uu);\n G[n].push_back(vv);\n }\n }\n for (int i = 1; i <= n; i++) {\n if (in[i]) continue;\n dfs(fid(i));\n }\n build(1, 1, cnt);\n for (int i = 1; i <= q; i++) {\n if (op[i][0] == 2) continue;\n node maxx = query(1, 1, cnt, in[id[i]], out[id[i]]);\n if (maxx.x > 0) update(1, 1, cnt, maxx.id);\n printf(\"%d\\n\", maxx.x);\n }\n return 0;\n}\n", "java": null, "python": null }
Codeforces/1434/D
# Roads and Ramen In the Land of Fire there are n villages and n-1 bidirectional road, and there is a path between any pair of villages by roads. There are only two types of roads: stone ones and sand ones. Since the Land of Fire is constantly renovating, every morning workers choose a single road and flip its type (so it becomes a stone road if it was a sand road and vice versa). Also everyone here loves ramen, that's why every morning a ramen pavilion is set in the middle of every stone road, and at the end of each day all the pavilions are removed. For each of the following m days, after another road is flipped, Naruto and Jiraiya choose a simple path — that is, a route which starts in a village and ends in a (possibly, the same) village, and doesn't contain any road twice. Since Naruto and Jiraiya also love ramen very much, they buy a single cup of ramen on each stone road and one of them eats it. Since they don't want to offend each other, they only choose routes where they can eat equal number of ramen cups. Since they both like traveling, they choose any longest possible path. After every renovation find the maximal possible length of a path (that is, the number of roads in it) they can follow. Input The first line contains the only positive integer n (2 ≤ n ≤ 500 000) standing for the number of villages in the Land of Fire. Each of the following (n-1) lines contains a description of another road, represented as three positive integers u, v and t (1 ≤ u, v ≤ n, t ∈ \{0,1\}). The first two numbers denote the villages connected by the road, and the third denotes the initial type of the road: 0 for the sand one and 1 for the stone one. Roads are numbered from 1 to (n-1) in the order from the input. The following line contains a positive integer m (1 ≤ m ≤ 500 000) standing for the number of days Naruto and Jiraiya travel for. Each of the following m lines contains the single integer id (1 ≤ id ≤ n-1) standing for the index of the road whose type is flipped on the morning of corresponding day. It is guaranteed that there is a road path between any pair of villages. Output Output m lines. In the i-th of them print the only integer denoting the maximal possible length of any valid path on the i-th day. Example Input 5 1 2 0 1 3 0 3 5 0 3 4 0 5 3 4 1 3 4 Output 3 2 3 3 2 Note After the renovation of the 3-rd road the longest path consists of the roads 1, 2 and 4. After the renovation of the 4-th road one of the longest paths consists of the roads 1 and 2. After the renovation of the 1-st road one of the longest paths consists of the roads 1, 2 and 3. After the renovation of the 3-rd road the longest path consists of the roads 1, 2 and 4. After the renovation of the 4-rd road one of the longest paths consists of the roads 2 and 4.
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{ "tags": [ "data structures", "trees" ], "title": "Roads and Ramen" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = 5e5 + 9;\nint a[N], r[N];\nstruct ST {\n int t[4 * N][2], lazy[4 * N];\n ST() {\n memset(t, 0, sizeof t);\n memset(lazy, 0, sizeof lazy);\n }\n inline void push(int n, int b, int e) {\n if (lazy[n] == 0) return;\n swap(t[n][0], t[n][1]);\n if (b != e) {\n lazy[(n << 1)] = lazy[(n << 1)] ^ lazy[n];\n lazy[((n << 1) | 1)] = lazy[((n << 1) | 1)] ^ lazy[n];\n }\n lazy[n] = 0;\n }\n inline void pull(int n) {\n t[n][0] = max(t[(n << 1)][0], t[((n << 1) | 1)][0]);\n t[n][1] = max(t[(n << 1)][1], t[((n << 1) | 1)][1]);\n }\n void build(int n, int b, int e) {\n lazy[n] = 0;\n if (b == e) {\n t[n][0] = a[r[b]];\n t[n][1] = 0;\n return;\n }\n int mid = (b + e) >> 1;\n build((n << 1), b, mid);\n build(((n << 1) | 1), mid + 1, e);\n pull(n);\n }\n void upd(int n, int b, int e, int i, int j) {\n push(n, b, e);\n if (j < b || e < i) return;\n if (i <= b && e <= j) {\n lazy[n] = 1;\n push(n, b, e);\n return;\n }\n int mid = (b + e) >> 1;\n upd((n << 1), b, mid, i, j);\n upd(((n << 1) | 1), mid + 1, e, i, j);\n pull(n);\n }\n} t;\nvector<pair<int, int>> g[N];\nint farthest(int s, int n, vector<int> &d) {\n d.assign(n + 1, N);\n d[s] = 0;\n vector<bool> vis(n + 1);\n queue<int> q;\n q.push(s);\n vis[s] = 1;\n int last = s;\n while (!q.empty()) {\n int u = q.front();\n q.pop();\n for (auto x : g[u]) {\n int v = x.first;\n if (vis[v]) continue;\n d[v] = d[u] + 1;\n q.push(v);\n vis[v] = 1;\n }\n last = u;\n }\n return last;\n}\nint T = 0, st[N], en[N];\nvoid dfs(int u, int p = 0) {\n a[u] = a[p] + 1;\n st[u] = ++T;\n r[T] = u;\n for (auto x : g[u]) {\n int v = x.first;\n if (v ^ p) {\n dfs(v, u);\n }\n }\n en[u] = T;\n}\nint ans[N], Q[N], u[N], v[N], f[N];\nint32_t main() {\n ios_base::sync_with_stdio(0);\n cin.tie(0);\n int n;\n cin >> n;\n for (int i = 1; i < n; i++) {\n cin >> u[i] >> v[i] >> f[i];\n g[u[i]].push_back({v[i], f[i]});\n g[v[i]].push_back({u[i], f[i]});\n }\n int q;\n cin >> q;\n for (int i = 1; i <= q; i++) {\n cin >> Q[i];\n }\n vector<int> d1, d2;\n int x = farthest(1, n, d1);\n int y = farthest(x, n, d2);\n T = 0;\n dfs(x);\n t.build(1, 1, n);\n for (int i = 1; i < n; i++) {\n if (a[u[i]] > a[v[i]]) {\n swap(u[i], v[i]);\n }\n if (f[i]) {\n t.upd(1, 1, n, st[v[i]], en[v[i]]);\n }\n }\n for (int i = 1; i <= q; i++) {\n t.upd(1, 1, n, st[v[Q[i]]], en[v[Q[i]]]);\n ans[i] = max(ans[i], t.t[1][0]);\n }\n T = 0;\n dfs(y);\n t.build(1, 1, n);\n for (int i = 1; i < n; i++) {\n if (a[u[i]] > a[v[i]]) {\n swap(u[i], v[i]);\n }\n if (f[i]) {\n t.upd(1, 1, n, st[v[i]], en[v[i]]);\n }\n }\n for (int i = 1; i <= q; i++) {\n t.upd(1, 1, n, st[v[Q[i]]], en[v[Q[i]]]);\n ans[i] = max(ans[i], t.t[1][0]);\n }\n for (int i = 1; i <= q; i++) {\n cout << ans[i] - 1 << '\\n';\n }\n return 0;\n}\n", "java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.OutputStream;\nimport java.io.IOException;\nimport java.util.ArrayList;\nimport java.io.UncheckedIOException;\nimport java.util.List;\nimport java.io.Closeable;\nimport java.io.Writer;\nimport java.io.OutputStreamWriter;\nimport java.util.Comparator;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n */\npublic class Main {\n public static void main(String[] args) throws Exception {\n Thread thread = new Thread(null, new TaskAdapter(), \"\", 1 << 29);\n thread.start();\n thread.join();\n }\n\n static class TaskAdapter implements Runnable {\n @Override\n public void run() {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n FastInput in = new FastInput(inputStream);\n FastOutput out = new FastOutput(outputStream);\n DRoadsAndRamen solver = new DRoadsAndRamen();\n solver.solve(1, in, out);\n out.close();\n }\n }\n\n static class DRoadsAndRamen {\n int[][] edges;\n int alloc = 1;\n\n public void solve(int testNumber, FastInput in, FastOutput out) {\n int n = in.readInt();\n Node[] nodes = new Node[n];\n for (int i = 0; i < n; i++) {\n nodes[i] = new Node();\n nodes[i].id = i;\n }\n\n List<Query> allQuery = new ArrayList<>(1000000);\n edges = new int[n - 1][2];\n for (int i = 0; i < n - 1; i++) {\n int u = in.readInt() - 1;\n int v = in.readInt() - 1;\n edges[i][0] = u;\n edges[i][1] = v;\n Node a = nodes[u];\n Node b = nodes[v];\n a.adj.add(b);\n b.adj.add(a);\n if (in.readInt() == 1) {\n allQuery.add(new Query(i));\n }\n }\n\n int m = in.readInt();\n Query[] qs = new Query[m];\n for (int i = 0; i < m; i++) {\n qs[i] = new Query(in.readInt() - 1);\n allQuery.add(qs[i]);\n }\n\n dfsForDepth(nodes[0], null);\n Node a = CompareUtils.maxOf(nodes, 0, n - 1, Node.sortByDepth);\n dfsForDepth(a, null);\n Node b = CompareUtils.maxOf(nodes, 0, n - 1, Node.sortByDepth);\n solve(a, nodes, allQuery);\n solve(b, nodes, allQuery);\n for (Query q : qs) {\n out.println(q.ans);\n }\n }\n\n public void solve(Node root, Node[] nodes, List<Query> qs) {\n dfsForLR(root, null);\n alloc = 1;\n int n = nodes.length;\n Node[] invIds = new Node[n + 1];\n for (Node node : nodes) {\n invIds[node.l] = node;\n }\n Segment seg = new Segment(1, n, i -> invIds[i].depth);\n for (Query q : qs) {\n Node u = nodes[edges[q.v][0]];\n Node v = nodes[edges[q.v][1]];\n if (u.depth < v.depth) {\n Node tmp = u;\n u = v;\n v = tmp;\n }\n seg.update(u.l, u.r, 1, n);\n q.ans = Math.max(q.ans, seg.query(1, n, 1, n));\n }\n }\n\n public void dfsForLR(Node root, Node p) {\n root.l = alloc++;\n root.depth = p == null ? 0 : p.depth + 1;\n for (Node node : root.adj) {\n if (node == p) {\n continue;\n }\n dfsForLR(node, root);\n }\n root.r = alloc - 1;\n }\n\n public void dfsForDepth(Node root, Node p) {\n root.depth = p == null ? 0 : p.depth + 1;\n for (Node node : root.adj) {\n if (node == p) {\n continue;\n }\n dfsForDepth(node, root);\n }\n\n }\n\n }\n\n static class CompareUtils {\n private CompareUtils() {\n }\n\n public static <T> T maxOf(T[] a, int l, int r, Comparator<T> comp) {\n T x = a[l];\n for (int i = l; i <= r; i++) {\n x = max(x, a[i], comp);\n }\n return x;\n }\n\n public static <T> T max(T a, T b, Comparator<T> comp) {\n return comp.compare(a, b) >= 0 ? a : b;\n }\n\n }\n\n static class Node {\n int id;\n List<Node> adj = new ArrayList<>();\n int depth;\n int l;\n int r;\n static Comparator<Node> sortByDepth = (a, b) -> Integer.compare(a.depth, b.depth);\n\n public String toString() {\n return \"\" + (id + 1);\n }\n\n }\n\n static class Segment implements Cloneable {\n private Segment left;\n private Segment right;\n private int[] oe = new int[2];\n private boolean rev;\n\n private void modify() {\n rev = !rev;\n SequenceUtils.swap(oe, 0, 1);\n }\n\n public void pushUp() {\n for (int i = 0; i < 2; i++) {\n oe[i] = Math.max(left.oe[i], right.oe[i]);\n }\n }\n\n public void pushDown() {\n if (rev) {\n left.modify();\n right.modify();\n rev = false;\n }\n }\n\n public Segment(int l, int r, IntToIntegerFunction func) {\n if (l < r) {\n int m = DigitUtils.floorAverage(l, r);\n left = new Segment(l, m, func);\n right = new Segment(m + 1, r, func);\n pushUp();\n } else {\n oe[0] = func.apply(l);\n oe[1] = 0;\n }\n }\n\n private boolean covered(int ll, int rr, int l, int r) {\n return ll <= l && rr >= r;\n }\n\n private boolean noIntersection(int ll, int rr, int l, int r) {\n return ll > r || rr < l;\n }\n\n public void update(int ll, int rr, int l, int r) {\n if (noIntersection(ll, rr, l, r)) {\n return;\n }\n if (covered(ll, rr, l, r)) {\n modify();\n return;\n }\n pushDown();\n int m = DigitUtils.floorAverage(l, r);\n left.update(ll, rr, l, m);\n right.update(ll, rr, m + 1, r);\n pushUp();\n }\n\n public int query(int ll, int rr, int l, int r) {\n if (noIntersection(ll, rr, l, r)) {\n return 0;\n }\n if (covered(ll, rr, l, r)) {\n return oe[0];\n }\n pushDown();\n int m = DigitUtils.floorAverage(l, r);\n return Math.max(left.query(ll, rr, l, m),\n right.query(ll, rr, m + 1, r));\n }\n\n private Segment deepClone() {\n Segment seg = clone();\n if (seg.left != null) {\n seg.left = seg.left.deepClone();\n }\n if (seg.right != null) {\n seg.right = seg.right.deepClone();\n }\n return seg;\n }\n\n protected Segment clone() {\n try {\n return (Segment) super.clone();\n } catch (CloneNotSupportedException e) {\n throw new RuntimeException(e);\n }\n }\n\n private void toString(StringBuilder builder) {\n if (left == null && right == null) {\n builder.append(\"val\").append(\",\");\n return;\n }\n pushDown();\n left.toString(builder);\n right.toString(builder);\n }\n\n public String toString() {\n StringBuilder builder = new StringBuilder();\n deepClone().toString(builder);\n if (builder.length() > 0) {\n builder.setLength(builder.length() - 1);\n }\n return builder.toString();\n }\n\n }\n\n static class FastOutput implements AutoCloseable, Closeable, Appendable {\n private static final int THRESHOLD = 1 << 13;\n private final Writer os;\n private StringBuilder cache = new StringBuilder(THRESHOLD * 2);\n\n public FastOutput append(CharSequence csq) {\n cache.append(csq);\n return this;\n }\n\n public FastOutput append(CharSequence csq, int start, int end) {\n cache.append(csq, start, end);\n return this;\n }\n\n private void afterWrite() {\n if (cache.length() < THRESHOLD) {\n return;\n }\n flush();\n }\n\n public FastOutput(Writer os) {\n this.os = os;\n }\n\n public FastOutput(OutputStream os) {\n this(new OutputStreamWriter(os));\n }\n\n public FastOutput append(char c) {\n cache.append(c);\n afterWrite();\n return this;\n }\n\n public FastOutput append(int c) {\n cache.append(c);\n afterWrite();\n return this;\n }\n\n public FastOutput append(String c) {\n cache.append(c);\n afterWrite();\n return this;\n }\n\n public FastOutput println(int c) {\n return append(c).println();\n }\n\n public FastOutput println() {\n return append(System.lineSeparator());\n }\n\n public FastOutput flush() {\n try {\n os.append(cache);\n os.flush();\n cache.setLength(0);\n } catch (IOException e) {\n throw new UncheckedIOException(e);\n }\n return this;\n }\n\n public void close() {\n flush();\n try {\n os.close();\n } catch (IOException e) {\n throw new UncheckedIOException(e);\n }\n }\n\n public String toString() {\n return cache.toString();\n }\n\n }\n\n static interface IntToIntegerFunction {\n int apply(int x);\n\n }\n\n static class Query {\n int v;\n int ans;\n\n public Query(int v) {\n this.v = v;\n }\n\n }\n\n static class FastInput {\n private final InputStream is;\n private byte[] buf = new byte[1 << 13];\n private int bufLen;\n private int bufOffset;\n private int next;\n\n public FastInput(InputStream is) {\n this.is = is;\n }\n\n private int read() {\n while (bufLen == bufOffset) {\n bufOffset = 0;\n try {\n bufLen = is.read(buf);\n } catch (IOException e) {\n bufLen = -1;\n }\n if (bufLen == -1) {\n return -1;\n }\n }\n return buf[bufOffset++];\n }\n\n public void skipBlank() {\n while (next >= 0 && next <= 32) {\n next = read();\n }\n }\n\n public int readInt() {\n int sign = 1;\n\n skipBlank();\n if (next == '+' || next == '-') {\n sign = next == '+' ? 1 : -1;\n next = read();\n }\n\n int val = 0;\n if (sign == 1) {\n while (next >= '0' && next <= '9') {\n val = val * 10 + next - '0';\n next = read();\n }\n } else {\n while (next >= '0' && next <= '9') {\n val = val * 10 - next + '0';\n next = read();\n }\n }\n\n return val;\n }\n\n }\n\n static class SequenceUtils {\n public static void swap(int[] data, int i, int j) {\n int tmp = data[i];\n data[i] = data[j];\n data[j] = tmp;\n }\n\n }\n\n static class DigitUtils {\n private DigitUtils() {\n }\n\n public static int floorAverage(int x, int y) {\n return (x & y) + ((x ^ y) >> 1);\n }\n\n }\n}\n\n", "python": null }
Codeforces/145/B
# Lucky Number 2 Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Petya loves long lucky numbers very much. He is interested in the minimum lucky number d that meets some condition. Let cnt(x) be the number of occurrences of number x in number d as a substring. For example, if d = 747747, then cnt(4) = 2, cnt(7) = 4, cnt(47) = 2, cnt(74) = 2. Petya wants the following condition to fulfil simultaneously: cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. Petya is not interested in the occurrences of other numbers. Help him cope with this task. Input The single line contains four integers a1, a2, a3 and a4 (1 ≤ a1, a2, a3, a4 ≤ 106). Output On the single line print without leading zeroes the answer to the problem — the minimum lucky number d such, that cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. If such number does not exist, print the single number "-1" (without the quotes). Examples Input 2 2 1 1 Output 4774 Input 4 7 3 1 Output -1
[ { "input": { "stdin": "4 7 3 1\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "2 2 1 1\n" }, "output": { "stdout": "4774" } }, { "input": { "stdin": "3 3 2 2\n" }, "output": { "stdout": "474774" } }, { "input": { "stdin": "69 84 25 24\n" }, "output": { "stdout": "444444444444444444444444444444444444444444444747474747474747474747474747474747474747474747474777777777777777777777777777777777777777777777777777777777777" } }, { "input": { "stdin": "4 4 2 2\n" }, "output": { "stdout": "44747774" } }, { "input": { "stdin": "4 58458 2 1\n" }, "output": { "stdout": 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} }, { "input": { "stdin": "2 3 2 2\n" }, "output": { "stdout": "74747" } }, { "input": { "stdin": "70 60 20 21\n" }, "output": { "stdout": "7444444444444444444444444444444444444444444444444447474747474747474747474747474747474747477777777777777777777777777777777777777774" } }, { "input": { "stdin": "7 1000 1 2\n" }, "output": { "stdout": 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} }, { "input": { "stdin": "5 5 2 1\n" }, "output": { "stdout": "4444747777" } }, { "input": { "stdin": "98654 4844 1001 1000\n" }, "output": { "stdout": 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} }, { "input": { "stdin": "74544 1 1 1\n" }, "output": { "stdout": 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} } ]
{ "tags": [ "constructive algorithms" ], "title": "Lucky Number 2" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int mod = 1e9 + 7;\nint main() {\n int a, b, c, d;\n scanf(\"%d %d %d %d\", &a, &b, &c, &d);\n if (abs(c - d) > 1) {\n puts(\"-1\");\n return 0;\n }\n if (c > d) {\n if (a - c < 0 || b - c < 0) {\n puts(\"-1\");\n return 0;\n }\n for (int i = 0; i < a - c; ++i) printf(\"4\");\n ;\n for (int i = 0; i < c; ++i) printf(\"47\");\n for (int i = 0; i < b - c; ++i) printf(\"7\");\n return 0;\n }\n if (c < d) {\n if (a - d < 0 || b - d < 0) {\n puts(\"-1\");\n return 0;\n }\n printf(\"7\");\n for (int i = 0; i < a - d; ++i) printf(\"4\");\n ;\n for (int i = 0; i < c; ++i) printf(\"47\");\n for (int i = 0; i < b - d; ++i) printf(\"7\");\n printf(\"4\\n\");\n return 0;\n }\n if (a < 2 && b < 2) {\n puts(\"-1\");\n return 0;\n }\n if (a - 1 >= c && b >= c) {\n for (int i = 0; i < a - c - 1; ++i) printf(\"4\");\n ;\n for (int i = 0; i < c; ++i) printf(\"47\");\n for (int i = 0; i < b - c; ++i) printf(\"7\");\n puts(\"4\");\n return 0;\n }\n if (b - 1 >= c && a >= c) {\n printf(\"7\");\n for (int i = 0; i < c; ++i) printf(\"47\");\n for (int i = 0; i < b - c - 1; ++i) printf(\"7\");\n return 0;\n }\n puts(\"-1\");\n return 0;\n}\n", "java": "import java.util.Scanner;\n\npublic class D146 {\n\n public static void main(String[] args) {\n Scanner sc = new Scanner (System.in);\n \n int a = sc.nextInt();\n int b = sc.nextInt();\n int c = sc.nextInt();\n int d = sc.nextInt();\n \n StringBuilder s = new StringBuilder();\n for (int i = 0; i < c; ++i) s.append(\"47\");\n a-=c; b-=c; d-=c-1; c=0;\n if (a<0 || b<0 || d<0 || d>2)\n System.out.print(\"-1\");\n else\n {\n if (d>0)\n {\n if (a>0) { s.append(\"4\"); a--; d--;}\n if (d>0 && b>0) { s.insert(0, \"7\"); b--; d--; }\n }\n\n if (a<0 || b<0 || d!=0) { System.out.print(\"-1\"); System.exit(0); }\n\n StringBuilder ololo = new StringBuilder();\n for (int j = 0; j < b; ++j) \n ololo.append(7);\n for (int i = s.length()-1; i > -1; --i)\n if (s.charAt(i)=='7')\n {\n s.insert(i, ololo);\n b=0;\n break;\n }\n StringBuilder tololo = new StringBuilder();\n for (int j = 0; j < a; ++j) \n tololo.append(4);\n for (int i = 0; i < s.length(); ++i)\n if (s.charAt(i)=='4')\n {\n s.insert(i, tololo);\n a=0;\n break;\n }\n System.out.print(s);\n }\n }\n}\n", "python": "import sys\n\ndef count(n, a, b):\n\tfor i in n:\n\t\tif i == '4':\n\t\t\tfour += 1\n\t\telif i == '7':\n\t\t\tseven += 1\n\tif a < four:\n\t\treturn false\n\tif b < seven:\n\t\treturn false\n\n(a, b, c, d) = [int(i) for i in raw_input().split()]\nif c == d:\n\tif a == c:\n\t\tres = '74' * c + '7'\n\telse:\n\t\tres = '47' * c + '4'\nelif c == d + 1:\n\tres = '47' * c\nelif c + 1 == d: \n\tres = '74' * d\nelse:\n\tprint -1\n\tsys.exit()\n\nfour = 0\nseven = 0\nfor i in res:\n\tif i == '4':\n\t\tfour += 1\n\telif i == '7':\n\t\tseven += 1\nif a < four or b < seven:\n\tprint -1\n\tsys.exit()\nfor i in range(0, len(res)):\n\tif res[i] == '4':\n\t\tres = res[:i] + '4' * (a - four) + res[i:]\n\t\tbreak\nfor i in range(len(res) - 1, -1, -1):\n\tif res[i] == '7':\n\t\tres = res[:i] + '7' * (b - seven) + res[i:]\n\t\tbreak\nprint res\n" }
Codeforces/1485/D
# Multiples and Power Differences You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ 10^6; * b_{i,j} is a multiple of a_{i,j}; * the absolute value of the difference between numbers in any adjacent pair of cells (two cells that share the same side) in b is equal to k^4 for some integer k ≥ 1 (k is not necessarily the same for all pairs, it is own for each pair). We can show that the answer always exists. Input The first line contains two integers n and m (2 ≤ n,m ≤ 500). Each of the following n lines contains m integers. The j-th integer in the i-th line is a_{i,j} (1 ≤ a_{i,j} ≤ 16). Output The output should contain n lines each containing m integers. The j-th integer in the i-th line should be b_{i,j}. Examples Input 2 2 1 2 2 3 Output 1 2 2 3 Input 2 3 16 16 16 16 16 16 Output 16 32 48 32 48 64 Input 2 2 3 11 12 8 Output 327 583 408 664 Note In the first example, the matrix a can be used as the matrix b, because the absolute value of the difference between numbers in any adjacent pair of cells is 1 = 1^4. In the third example: * 327 is a multiple of 3, 583 is a multiple of 11, 408 is a multiple of 12, 664 is a multiple of 8; * |408 - 327| = 3^4, |583 - 327| = 4^4, |664 - 408| = 4^4, |664 - 583| = 3^4.
[ { "input": { "stdin": "2 3\n16 16 16\n16 16 16\n" }, "output": { "stdout": "\n16 32 48\n32 48 64\n" } }, { "input": { "stdin": "2 2\n1 2\n2 3\n" }, "output": { "stdout": "\n1 2\n2 3\n" } }, { "input": { "stdin": "2 2\n3 11\n12 8\n" }, "output": { "stdout": "\n327 583\n408 664\n" } }, { "input": { "stdin": "2 2\n4 3\n12 8\n" }, "output": { "stdout": "720720 720801\n741456 720720\n" } }, { "input": { "stdin": "2 2\n1 4\n2 0\n" }, "output": { "stdout": "720720 720976\n720736 720720\n" } }, { "input": { "stdin": "2 3\n5 16 30\n16 16 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 3\n7 16 14\n16 9 9\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 727281\n" } }, { "input": { "stdin": "2 2\n-1 2\n7 2\n" }, "output": { "stdout": "720720 720736\n723121 720720\n" } }, { "input": { "stdin": "1 2\n1 4\n0 0\n" }, "output": { "stdout": "720720 720976\n" } }, { "input": { "stdin": "2 3\n16 16 15\n8 21 16\n" }, "output": { "stdout": "720720 786256 720720\n724816 720720 786256\n" } }, { "input": { "stdin": "2 3\n0 16 5\n16 13 4\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 720976\n" } }, { "input": { "stdin": "2 3\n16 16 28\n16 16 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "1 2\n0 2\n15 2\n" }, "output": { "stdout": "720720 720736\n" } }, { "input": { "stdin": "2 2\n4 11\n13 0\n" }, "output": { "stdout": "720720 735361\n749281 720720\n" } }, { "input": { "stdin": "2 3\n0 16 5\n16 9 1\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 720721\n" } }, { "input": { "stdin": "1 2\n1 6\n35 0\n" }, "output": { "stdout": "720720 722016\n" } }, { "input": { "stdin": "1 3\n7 11 5\n16 7 16\n" }, "output": { "stdout": "720720 735361 720720\n" } }, { "input": { "stdin": "2 3\n7 16 4\n16 9 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 2\n0 3\n3 2\n" }, "output": { "stdout": "720720 720801\n720801 720720\n" } }, { "input": { "stdin": "1 2\n0 2\n7 2\n" }, "output": { "stdout": "720720 720736\n" } }, { "input": { "stdin": "2 2\n6 10\n12 8\n" }, "output": { "stdout": "720720 730720\n741456 720720\n" } }, { "input": { "stdin": "2 3\n9 15 3\n16 8 16\n" }, "output": { "stdout": "720720 771345 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "1 2\n0 2\n22 2\n" }, "output": { "stdout": "720720 720736\n" } }, { "input": { "stdin": "2 2\n1 2\n8 2\n" }, "output": { "stdout": "720720 720736\n724816 720720\n" } }, { "input": { "stdin": "2 3\n16 16 14\n16 21 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 2\n2 1\n1 4\n" }, "output": { "stdout": "720720 720721\n720721 720720\n" } }, { "input": { "stdin": "1 2\n0 1\n3 4\n" }, "output": { "stdout": "720720 720721\n" } }, { "input": { "stdin": "2 2\n1 1\n15 4\n" }, "output": { "stdout": "720720 720721\n771345 720720\n" } }, { "input": { "stdin": "2 3\n3 14 30\n9 29 16\n" }, "output": { "stdout": "720720 759136 720720\n727281 720720 786256\n" } }, { "input": { "stdin": "2 2\n1 1\n8 4\n" }, "output": { "stdout": "720720 720721\n724816 720720\n" } }, { "input": { "stdin": "2 3\n16 16 17\n16 21 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 2\n4 11\n12 8\n" }, "output": { "stdout": "720720 735361\n741456 720720\n" } }, { "input": { "stdin": "1 2\n2 2\n1 1\n" }, "output": { "stdout": "720720 720736\n" } }, { "input": { "stdin": "2 3\n12 16 5\n16 9 14\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 759136\n" } }, { "input": { "stdin": "2 3\n16 16 1\n16 16 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 2\n6 10\n9 8\n" }, "output": { "stdout": "720720 730720\n727281 720720\n" } }, { "input": { "stdin": "2 2\n5 10\n14 8\n" }, "output": { "stdout": "720720 730720\n759136 720720\n" } }, { "input": { "stdin": "2 3\n16 16 0\n16 16 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 2\n0 2\n2 1\n" }, "output": { "stdout": "720720 720736\n720736 720720\n" } }, { "input": { "stdin": "2 2\n5 9\n15 8\n" }, "output": { "stdout": "720720 727281\n771345 720720\n" } }, { "input": { "stdin": "2 3\n3 16 16\n16 4 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 2\n4 11\n15 0\n" }, "output": { "stdout": "720720 735361\n771345 720720\n" } }, { "input": { "stdin": "2 2\n6 10\n8 8\n" }, "output": { "stdout": "720720 730720\n724816 720720\n" } }, { "input": { "stdin": "2 3\n7 16 5\n3 7 16\n" }, "output": { "stdout": "720720 786256 720720\n720801 720720 786256\n" } }, { "input": { "stdin": "1 2\n1 3\n35 0\n" }, "output": { "stdout": "720720 720801\n" } }, { "input": { "stdin": "2 2\n5 11\n12 0\n" }, "output": { "stdout": "720720 735361\n741456 720720\n" } }, { "input": { "stdin": "2 3\n7 16 10\n9 7 16\n" }, "output": { "stdout": "720720 786256 720720\n727281 720720 786256\n" } }, { "input": { "stdin": "2 2\n6 13\n12 8\n" }, "output": { "stdout": "720720 749281\n741456 720720\n" } }, { "input": { "stdin": "2 3\n16 16 11\n16 14 16\n" }, "output": { "stdout": "720720 786256 720720\n786256 720720 786256\n" } }, { "input": { "stdin": "2 3\n14 16 15\n12 21 16\n" }, "output": { "stdout": "720720 786256 720720\n741456 720720 786256\n" } } ]
{ "tags": [ "constructive algorithms", "graphs", "math", "number theory" ], "title": "Multiples and Power Differences" }
{ "cpp": "#include <bits/stdc++.h>\n#include <cmath>\n#include <sstream>\n#include <vector>\n#include <stdio.h>\n#define ll long long\n#define fr(i,j,p) for(ll i=j; i<p ;i++)\n#define frr(i,j,p) for(ll i=j; i>=p ;i--)\n#define PI 3.14159265358979323846\n#define print(m) std::cout << std::fixed << std::setprecision(11) << m <<endl;\n#define mkp make_pair\n#define pb push_back\n#define M 32\n#define lbindex(a,x) (int)(lower_bound(a.begin(), a.end(),x)-a.begin());\n#define upindex(a,x) (int)(upper_bound(a.begin(), a.end(),x)-a.begin());\n#define all(a) (a).begin(),(a).end()\n#define mem(b,a,n) memset(b,a,sizeof(b[0])*n);\n#define meme(b,a,n,m) memset(b,a,sizeof(b[0][0])*n*m);\n#define ff first\n#define ss second\n#define endl '\\n'\n\n//ll md=1000000007;\n//ll mdd=998244353;\n\nusing namespace std;\n\ntypedef vector<ll> vl;\t\ttypedef vector<int> vi;\ntypedef vector<vl> vvl;\t \ttypedef vector<vi> vvi;\ntypedef pair<ll, ll> pll;\ttypedef pair<int, int> pii;\n\nint main()\n{\n //freopen(\"input.txt\",\"r\",stdin);\n //freopen(\"output.txt\",\"w\",stdout);\n ios::sync_with_stdio(false);\n cin.tie(NULL); cout.tie(NULL);\n int n,m; cin>>n>>m;\n vvi b(n, vi(m,720720));\n fr(i,0,n)\n {\n fr(j,0,m)\n {\n int x; cin>>x;\n if((i+j)%2) b[i][j]+=(x*x*x*x);\n cout<<b[i][j]<<' ';\n }\n cout<<endl;\n }\n return 0;\n}\n", "java": "import java.util.*;\nimport java.math.*;\nimport java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.util.StringTokenizer;\n\n //--------------->>>>IF YOU ARE HERE FOR QUICKSORT HACK THEN SORRY NO HACK FOR YOU<<<-------------------\n\npublic class a{ \n static long[] count,count1,count2;\n static boolean[] prime;\n static Node[] nodes,nodes1,nodes2;\n static long[] arr;\n static long[][] cost;\n static int[] arrInt,darrInt,farrInt;\n static long[][] dp;\n static char[] ch,ch1;\n static long[] darr,farr;\n static long[][] mat,mat1;\n static boolean[] vis;\n static long x,h;\n static long maxl;\n static double dec;\n static long mx = (long)1e7;\n static String s,s1,s2,s3,s4;\n static long minl; \n static long mod = ((long)(1e9))+7;\n // static int minl = -1;\n // static long n;\n static int n,n1,n2,q,r1,c1,r2,c2;\n static long a;\n static long b;\n static long c;\n static long d;\n static long y,z;\n static int m;\n static int ans;\n static long k;\n static FastScanner sc;\n static String[] str,str1;\n static Set<Long> set,set1,set2;\n static SortedSet<Long> ss;\n static List<Long> list,list1,list2,list3;\n static PriorityQueue<Node> pq,pq1;\n static LinkedList<Node> ll,ll1,ll2;\n static Map<Integer,List<Integer>> map1;\n static Map<Long,Long> map;\n static StringBuilder sb,sb1,sb2;\n static int index;\n static long[] sum;\n static int[] dx = {0,-1,0,1,-1,1,-1,1};\n static int[] dy = {-1,0,1,0,-1,-1,1,1};\n\n // public static void solve(){\n\n // FastScanner sc = new FastScanner();\n // // int t = sc.nextInt();\n // int t = 1;\n // for(int tt = 0 ; tt < t ; tt++){\n\n // // s = sc.next();\n // // s1 = sc.next();\n\n // n = sc.nextInt();\n\n // m = sc.nextInt();\n\n // // int k = sc.nextInt();\n\n // // sb = new StringBuilder();\n\n // map = new HashMap<>();\n // map1 = new HashMap<>();\n\n // // q = sc.nextInt();\n // // sb = new StringBuilder();\n // // long k = sc.nextLong();\n\n // // ch = sc.next().toCharArray();\n\n // // count = new int[200002];\n \n // // m = sc.nextInt();\n\n // for(int o = 0 ; o < m ; o++){\n\n // int l = sc.nextInt()-1;\n // int r = sc.nextInt()-1;\n\n // }\n\n // }\n \n // }\n\n //--------------->>>>IF YOU ARE HERE FOR QUICKSORT HACK THEN SORRY NO HACK FOR YOU<<<-------------------\n\n public static void solve(){\n\n sb = new StringBuilder();\n\n for(int i = 0 ; i < n; i++){\n for(int j = 0 ; j < m ; j++){\n if((i+j)%2 == 0){\n sb.append(720720+\" \");\n }\n else{\n sb.append((720720 - mat[i][j]*mat[i][j]*mat[i][j]*mat[i][j])+\" \");\n }\n }\n sb.append(\"\\n\");\n }\n\n System.out.print(sb);\n\n }\n \n public static void main(String[] args) {\n\n sc = new FastScanner();\n // Scanner sc = new Scanner(System.in);\n // int t = sc.nextInt();\n int t = 1;\n // int l = 1;\n while(t > 0){\n \n // n = sc.nextInt();\n // n = sc.nextLong();\n // k = sc.nextLong();\n // x = sc.nextLong();\n // y = sc.nextLong();\n // z = sc.nextLong();\n\n // a = sc.nextLong();\n // b = sc.nextLong();\n // c = sc.nextLong();\n // d = sc.nextLong();\n\n // x = sc.nextLong();\n // y = sc.nextLong();\n // z = sc.nextLong();\n // d = sc.nextLong();\n\n n = sc.nextInt();\n\n // n1 = sc.nextInt();\n\n m = sc.nextInt();\n // q = sc.nextInt();\n\n // k = sc.nextLong();\n\n // x = sc.nextLong();\n // d = sc.nextLong();\n\n // s = sc.next();\n\n // ch = sc.next().toCharArray();\n // ch1 = sc.next().toCharArray();\n\n // n = 6;\n\n // arr = new long[n];\n // for(int i = 0 ; i < n ; i++){\n // arr[i] = sc.nextLong();\n // }\n\n // arrInt = new int[n];\n // for(int i = 0 ; i < n ; i++){\n // arrInt[i] = sc.nextInt();\n // }\n // x = sc.nextLong();\n // y = sc.nextLong();\n // ch = sc.next().toCharArray();\n // m = n;\n // m = sc.nextInt();\n // darr = new long[m];\n // for(int i = 0 ; i < m ; i++){\n // darr[i] = sc.nextLong();\n // }\n // k = sc.nextLong();\n // m = n;\n // darrInt = new int[n];\n // for(int i = 0 ; i < n ; i++){\n // darrInt[i] = sc.nextInt();\n // }\n\n // farrInt = new int[m];\n // for(int i = 0; i < m ; i++){\n // farrInt[i] = sc.nextInt();\n // }\n\n mat = new long[n][m];\n for(int i = 0 ; i < n ; i++){\n for(int j = 0 ; j < m ; j++){\n mat[i][j] = sc.nextLong();\n }\n }\n\n // m = n;\n // mat = new char[n][m];\n // for(int i = 0 ; i < n ; i++){\n // String s = sc.next();\n // for(int j = 0 ; j < m ; j++){\n // mat[i][j] = s.charAt(j);\n // }\n // }\n\n // str = new String[n];\n // for(int i = 0 ; i < n ; i++)\n // str[i] = sc.next();\n\n // nodes = new Node[n];\n // for(int i = 0 ; i < n ;i++)\n // nodes[i] = new Node(sc.nextLong(),sc.nextLong());\n\n solve(); \n t -= 1;\n }\n\n }\n\n public static int log(long n,long base){\n\n if(n == 0 || n == 1)\n return 0;\n\n if(n == base)\n return 1;\n\n double num = Math.log(n);\n double den = Math.log(base);\n\n if(den == 0)\n return 0;\n\n return (int)(num/den);\n }\n\n public static boolean isPrime(long n) { \n // Corner cases \n if (n <= 1) \n return false; \n\n if (n <= 3) \n return true; \n \n // This is checked so that we can skip \n // middle five numbers in below loop \n if (n%2 == 0 || n%3 == 0) \n return false; \n \n for (int i=5; i*i<=n; i=i+6) \n if (n%i == 0 || n%(i+2) == 0) \n return false; \n \n return true; \n } \n\n public static long gcd(long a, long b)\n {\n if (b == 0)\n return a;\n return gcd(b, a % b); \n }\n\n public static long lcm(long a, long b)\n {\n return (b/gcd(b, a % b)) * a; \n }\n\n public static long mod_inverse(long a,long mod){\n long x1=1,x2=0;\n long p=mod,q,t;\n while(a%p!=0){\n q = a/p;\n t = x1-q*x2;\n x1=x2; x2=t;\n t=a%p;\n a=p; p=t;\n }\n return x2<0 ? x2+mod : x2;\n }\n\n // public static void swap(int i,int j){\n // long temp = arr[j];\n // arr[j] = arr[i];\n // arr[i] = temp;\n // } \n\n static final Random random=new Random();\n\n static void ruffleSortLong(long[] a) {\n int n=a.length;//shuffle, then sort \n for (int i=0; i<n; i++) {\n int oi=random.nextInt(n);\n long temp=a[oi];\n a[oi]=a[i]; a[i]=temp;\n }\n Arrays.sort(a);\n }\n\n static void ruffleSortInt(int[] a) {\n int n=a.length;//shuffle, then sort \n for (int i=0; i<n; i++) {\n int oi=random.nextInt(n);\n int temp=a[oi];\n a[oi]=a[i]; a[i]=temp;\n }\n Arrays.sort(a);\n }\n \n static void ruffleSortChar(char[] a) {\n int n=a.length;//shuffle, then sort \n for (int i=0; i<n; i++) {\n int oi=random.nextInt(n);\n char temp=a[oi];\n a[oi]=a[i]; a[i]=temp;\n }\n Arrays.sort(a);\n }\n\n static long binomialCoeff(long n, long k){ \n\n long res = 1; \n \n // Since C(n, k) = C(n, n-k) \n if (k > n - k) \n k = n - k; \n \n // Calculate value of \n // [n * (n-1) *---* (n-k+1)] / [k * (k-1) *----* 1] \n for (long i = 0; i < k; ++i) { \n res = (res*(n - i)); \n res = (res/(i + 1)); \n } \n\n return res; \n } \n\n static long[] fact;\n\n public static long inv(long n){\n return power(n, mod-2);\n }\n\n public static void fact(int n){\n fact = new long[n+1];\n fact[0] = 1;\n for(int j = 1;j<=n;j++)\n fact[j] = (fact[j-1]*(long)j)%mod; \n }\n\n public static long binom(int n, int k){\n fact(n+1);\n long prod = fact[n];\n prod*=inv(fact[n-k]);\n prod%=mod;\n prod*=inv(fact[k]);\n prod%=mod;\n return prod; \n }\n\n static long power(long x, long y){\n if (y == 0)\n return 1;\n if (y%2 == 1)\n return (x*power(x, y-1))%mod;\n return power((x*x)%mod, y/2)%mod;\n }\n\n static class Node{\n int first;\n int second;\n int third;\n Node(int f,int s,int t){\n this.first = f;\n this.second = s;\n this.third = t;\n }\n }\n\n static long sq(long num){\n return num*num;\n }\n\n static class FastScanner {\n\n BufferedReader br=new BufferedReader(new InputStreamReader(System.in));\n StringTokenizer st=new StringTokenizer(\"\");\n String next() {\n while (!st.hasMoreTokens())\n try {\n st=new StringTokenizer(br.readLine());\n } catch (IOException e) {\n e.printStackTrace();\n }\n return st.nextToken();\n }\n \n int nextInt() {\n return Integer.parseInt(next());\n }\n int[] readArray(int n) {\n int[] a=new int[n];\n for (int i=0; i<n; i++) a[i]=nextInt();\n return a;\n }\n long nextLong() {\n return Long.parseLong(next());\n }\n }\n\n}", "python": "import sys\nimport math\ndef II():\n\treturn int(sys.stdin.readline())\n \ndef LI():\n\treturn list(map(int, sys.stdin.readline().split()))\n \ndef MI():\n\treturn map(int, sys.stdin.readline().split())\n \ndef SI():\n\treturn sys.stdin.readline().strip()\n \ndef FACT(n, mod):\n s = 1\n facts = [1]\n for i in range(1,n+1):\n s*=i\n s%=mod\n facts.append(s)\n return facts[n]\n \ndef C(n, k, mod):\n return (FACT(n,mod) * pow((FACT(k,mod)*FACT(n-k,mod))%mod,mod-2, mod))%mod\n\ndef lcm(a, b):\n return abs(a*b) // math.gcd(a, b)\n \nn,m = MI()\nl = []\nfor i in range(n):\n l.append(LI())\nd = [[0 for j in range(m)] for i in range(n)]\ntemp = 1\nfor i in range(1,17):\n temp = lcm(temp,i)\nfor i in range(n):\n for j in range(m):\n if (i+j)%2 == 0:\n d[i][j] = temp\n else:\n d[i][j] = temp+l[i][j]**4\n print(*d[i])\n" }
Codeforces/150/B
# Quantity of Strings Just in case somebody missed it: this winter is totally cold in Nvodsk! It is so cold that one gets funny thoughts. For example, let's say there are strings with the length exactly n, based on the alphabet of size m. Any its substring with length equal to k is a palindrome. How many such strings exist? Your task is to find their quantity modulo 1000000007 (109 + 7). Be careful and don't miss a string or two! Let us remind you that a string is a palindrome if it can be read the same way in either direction, from the left to the right and from the right to the left. Input The first and only line contains three integers: n, m and k (1 ≤ n, m, k ≤ 2000). Output Print a single integer — the number of strings of the described type modulo 1000000007 (109 + 7). Examples Input 1 1 1 Output 1 Input 5 2 4 Output 2 Note In the first sample only one string is valid: "a" (let's denote the only letter of our alphabet as "a"). In the second sample (if we denote the alphabet letters as "a" and "b") the following strings are valid: "aaaaa" and "bbbbb".
[ { "input": { "stdin": "1 1 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5 2 4\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "784 1 1999\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1000 2 1\n" }, "output": { "stdout": "688423210\n" } }, { "input": { "stdin": "341 9 342\n" }, "output": { "stdout": "320920086\n" } }, { "input": { "stdin": "4 4 1\n" }, "output": { "stdout": "256\n" } }, { "input": { "stdin": "7 10 7\n" }, "output": { "stdout": "10000\n" } }, { "input": { "stdin": "13 9 1\n" }, "output": { "stdout": "865810542\n" } }, { "input": { "stdin": "100 5 1\n" }, "output": { "stdout": "146981449\n" } }, { "input": { "stdin": "239 123 239\n" }, "output": { "stdout": "221051222\n" } }, { "input": { "stdin": "7 4 20\n" }, "output": { "stdout": "16384\n" } }, { "input": { "stdin": "1501 893 1501\n" }, "output": { "stdout": "889854713\n" } }, { "input": { "stdin": "10 25 8\n" }, "output": { "stdout": "25\n" } }, { "input": { "stdin": "5 4 5\n" }, "output": { "stdout": "64\n" } }, { "input": { "stdin": "5 5 5\n" }, "output": { "stdout": "125\n" } }, { "input": { "stdin": "345 1777 1\n" }, "output": { "stdout": "756253754\n" } }, { "input": { "stdin": "5 2 5\n" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "10 2 1\n" }, "output": { "stdout": "1024\n" } }, { "input": { "stdin": "2000 2000 1\n" }, "output": { "stdout": "596636543\n" } }, { "input": { "stdin": "2000 1999 1999\n" }, "output": { "stdout": "3996001\n" } }, { "input": { "stdin": "777 1 777\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1000 1000 1000\n" }, "output": { "stdout": "850431726\n" } }, { "input": { "stdin": "3 1000 3\n" }, "output": { "stdout": "1000000\n" } }, { "input": { "stdin": "100 100 100\n" }, "output": { "stdout": "226732710\n" } }, { "input": { "stdin": "100 10 100\n" }, "output": { "stdout": "319300014\n" } }, { "input": { "stdin": "1451 239 1451\n" }, "output": { "stdout": "968856942\n" } }, { "input": { "stdin": "542 13 542\n" }, "output": { "stdout": "490685740\n" } }, { "input": { "stdin": "7 2 7\n" }, "output": { "stdout": "16\n" } }, { "input": { "stdin": "15 1 15\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "200 200 200\n" }, "output": { "stdout": "104842676\n" } }, { "input": { "stdin": "10 10 1\n" }, "output": { "stdout": "999999937\n" } }, { "input": { "stdin": "1764 305 843\n" }, "output": { "stdout": "93025\n" } }, { "input": { "stdin": "10 23 9\n" }, "output": { "stdout": "529\n" } }, { "input": { "stdin": "10 10 90\n" }, "output": { "stdout": "999999937\n" } }, { "input": { "stdin": "10 10 10\n" }, "output": { "stdout": "100000\n" } }, { "input": { "stdin": "4 256 1\n" }, "output": { "stdout": "294967268\n" } }, { "input": { "stdin": "5 2 1\n" }, "output": { "stdout": "32\n" } }, { "input": { "stdin": "17 5 1\n" }, "output": { "stdout": "939447791\n" } }, { "input": { "stdin": "1984 1847 1992\n" }, "output": { "stdout": "345702953\n" } }, { "input": { "stdin": "2000 2 10\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1999 98 132\n" }, "output": { "stdout": "98\n" } }, { "input": { "stdin": "4 4 4\n" }, "output": { "stdout": "16\n" } }, { "input": { "stdin": "1000 1000 1\n" }, "output": { "stdout": "524700271\n" } }, { "input": { "stdin": "100 100 1\n" }, "output": { "stdout": "424090053\n" } }, { "input": { "stdin": "1 2000 2000\n" }, "output": { "stdout": "2000\n" } }, { "input": { "stdin": "100 1000 1\n" }, "output": { "stdout": "327648028\n" } }, { "input": { "stdin": "11 2 11\n" }, "output": { "stdout": "64\n" } }, { "input": { "stdin": "8 13 9\n" }, "output": { "stdout": "815730721\n" } }, { "input": { "stdin": "100 7 3\n" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "1230 987 1\n" }, "output": { "stdout": "890209975\n" } }, { "input": { "stdin": "5 5 1\n" }, "output": { "stdout": "3125\n" } }, { "input": { "stdin": "20 3 3\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "15 5 1\n" }, "output": { "stdout": "517577915\n" } }, { "input": { "stdin": "2000 2000 2000\n" }, "output": { "stdout": "321179016\n" } }, { "input": { "stdin": "2000 2000 1000\n" }, "output": { "stdout": "2000\n" } }, { "input": { "stdin": "1000 2 1001\n" }, "output": { "stdout": "688423210\n" } }, { "input": { "stdin": "13 13 13\n" }, "output": { "stdout": "62748517\n" } }, { "input": { "stdin": "3 3 3\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "11 2 5\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "6 6 6\n" }, "output": { "stdout": "216\n" } }, { "input": { "stdin": "1678 1999 1234\n" }, "output": { "stdout": "1999\n" } }, { "input": { "stdin": "1321 95 2\n" }, "output": { "stdout": "95\n" } }, { "input": { "stdin": "1999 2000 2000\n" }, "output": { "stdout": "675798323\n" } }, { "input": { "stdin": "2000 1000 3\n" }, "output": { "stdout": "1000000\n" } }, { "input": { "stdin": "1999 1999 1999\n" }, "output": { "stdout": "21610777\n" } }, { "input": { "stdin": "8 2 8\n" }, "output": { "stdout": "16\n" } }, { "input": { "stdin": "1769 849 1000\n" }, "output": { "stdout": "849\n" } }, { "input": { "stdin": "10 5 1\n" }, "output": { "stdout": "9765625\n" } }, { "input": { "stdin": "997 1752 1000\n" }, "output": { "stdout": "184834849\n" } }, { "input": { "stdin": "3 5 3\n" }, "output": { "stdout": "25\n" } } ]
{ "tags": [ "combinatorics", "dfs and similar", "graphs", "math" ], "title": "Quantity of Strings" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint f[2010];\nint find(int x) {\n if (f[x] == x) return x;\n return f[x] = find(f[x]);\n}\nint n, m, k;\nint main() {\n cin >> n >> m >> k;\n for (int i = 1; i <= n; i++) f[i] = i;\n int cnt = n;\n for (int i = 1; i <= n; i++) {\n int l = i;\n int r = l + k - 1;\n if (r > n) break;\n while (l < r) {\n int x = find(l);\n int y = find(r);\n if (x != y) cnt--;\n f[x] = y;\n l++;\n r--;\n }\n }\n long long ans = 1ll;\n for (int i = 1; i <= cnt; i++) ans = ans * (long long)m % 1000000007;\n cout << ans;\n return 0;\n}\n", "java": "import java.util.*;\nimport java.math.*;\nimport java.io.*;\npublic class LOL {\n static final int MOD = 1000000007;\n public static int modpow(int val, int pow) {\n if (pow==0)\n return 1;\n else if (pow==1)\n return val;\n else if (pow%2==0)\n return modpow((int)(((long)val*val)%MOD),pow/2);\n else\n return (int)(((long)modpow(val,pow-1)*val)%MOD);\n }\n static int map(int pos, int K) {\n if (pos < 0)\n return -1;\n if (pos >= K)\n return -1;\n if (pos>=(K+1)/2)\n return K-pos-1;\n return pos;\n }\n static int[] set;\n static void union(int a, int b) {\n a = get(a);\n b = get(b);\n set[a] = b;\n }\n static int get(int a) {\n if (set[a] == a)\n return a;\n return set[a] = get(set[a]);\n }\n public static void main(String[] args) throws Exception {\n Scanner in = new Scanner(System.in);\n int N = in.nextInt();\n int M = in.nextInt();\n int K = in.nextInt();\n int hk = (K+1)/2;\n boolean[][] adj = new boolean[hk][hk];\n set = new int[hk];\n for (int i=0; i<set.length; i++)\n set[i] = i;\n for (int i=0; i<=N-K; i++)\n for (int x=0; x<hk; x++) {\n int a = map(x+i,K);\n int b = map(K-x-1+i,K);\n if (a<0 || b<0)\n continue;\n //System.out.println(a+\" \"+b);\n union(a,b);\n }\n //for (int i=0; i<hk; i++)\n // System.out.println(Arrays.toString(adj[i]));\n boolean[] used = new boolean[hk];\n int ans = 0;\n for (int i=0; i<hk; i++) {\n int tmp = get(i);\n if (!used[tmp])\n ans++;\n used[tmp] = true;\n }\n //System.out.println(ans);\n if (N>=K && K>1)\n System.out.println(modpow(M,ans));\n else\n System.out.println(modpow(M,N));\n }\n}", "python": "import math\n\np = [i for i in range(2005)]\n\ndef find(x):\n if p[x] != x:\n p[x] = find(p[x])\n return p[x]\n \ndef merge(x, y):\n r1, r2 = find(x), find(y)\n if r1 == r2:\n return\n p[r1] = r2\n\n\ndef pow(a,b,p):\n res = 1\n while(b > 0):\n if b%2 == 1:\n res = (res*a)%p\n a = (a*a)%p\n b = int(b/2)\n return res\n \n \nn,m,k = list(map(int,input().strip().split()))\nmod = 10 ** 9 + 7\nfor i in range(n):\n p[i] = i\n\nfor i in range(n - k + 1):\n for j in range(k):\n if i + j > k + i - j - 1:\n break\n \n merge(i + j, k + i - j - 1)\n\nans = 1\nfor i in range(n):\n if p[i] == i:\n ans *= m\n ans %= mod\n\nprint(ans)" }
Codeforces/1535/F
# String Distance Suppose you are given two strings a and b. You can apply the following operation any number of times: choose any contiguous substring of a or b, and sort the characters in it in non-descending order. Let f(a, b) the minimum number of operations you have to apply in order to make them equal (or f(a, b) = 1337 if it is impossible to make a and b equal using these operations). For example: * f(ab, ab) = 0; * f(ba, ab) = 1 (in one operation, we can sort the whole first string); * f(ebcda, ecdba) = 1 (in one operation, we can sort the substring of the second string starting from the 2-nd character and ending with the 4-th character); * f(a, b) = 1337. You are given n strings s_1, s_2, ..., s_k having equal length. Calculate ∑ _{i = 1}^{n} ∑_{j = i + 1}^{n} f(s_i, s_j). Input The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of strings. Then n lines follow, each line contains one of the strings s_i, consisting of lowercase Latin letters. |s_1| = |s_2| = … = |s_n|, and n ⋅ |s_1| ≤ 2 ⋅ 10^5. All these strings are pairwise distinct. Output Print one integer: ∑ _{i = 1}^{n} ∑_{j = i + 1}^{n} f(s_i, s_j). Examples Input 4 zzz bac abc acb Output 4015 Input 2 a b Output 1337
[ { "input": { "stdin": "4\nzzz\nbac\nabc\nacb\n" }, "output": { "stdout": "\n4015\n" } }, { "input": { "stdin": "2\na\nb\n" }, "output": { "stdout": "\n1337\n" } }, { "input": { "stdin": "1\na\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "6\nacb\nabc\ncba\nbac\ncab\nbca\n" }, "output": { "stdout": "21\n" } }, { "input": { "stdin": "24\nbcda\nacdb\nbcad\ncbad\nabcd\nbacd\nadcb\nbdac\ncbda\ndbca\ncdab\ncabd\ndabc\ncdba\nadbc\ndcba\ndcab\ndacb\nbdca\ndbac\ncadb\nbadc\nacbd\nabdc\n" }, "output": { "stdout": "478\n" } }, { "input": { "stdin": "2\nba\nab\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2\ncbb\nbcb\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2\nbdd\nacd\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\ndbb\nbbd\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2\nabd\nbda\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "4\nzzz\nbac\nabd\ncab\n" }, "output": { "stdout": "6687\n" } }, { "input": { "stdin": "2\ndbb\nbbc\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nfda\nacf\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "6\nacb\nabc\ncba\nbac\ncab\nbba\n" }, "output": { "stdout": "6699\n" } }, { "input": { "stdin": "2\nddb\nccc\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nbde\necb\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "4\nzzz\nbac\nabc\ncab\n" }, "output": { "stdout": "4015\n" } }, { "input": { "stdin": "1\nm\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2\ndbb\nbdb\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2\nabd\nadb\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2\nabd\nbeb\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "1\nk\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2\nddb\ndcb\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "4\nzzy\nbac\nabc\ncab\n" }, "output": { "stdout": "4015\n" } }, { "input": { "stdin": "2\nabe\nbeb\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\ndbb\nbeb\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\ncba\nbbb\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nadf\ncaf\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\ncdc\nadf\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nbfe\nfca\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nbbe\nbbb\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "1\ni\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2\nabb\naad\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nab\nba\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2\nbbe\nbad\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\ndba\ndaa\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nbfd\nfca\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nabb\nbba\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2\nbfc\nfca\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nfeb\nafc\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "1\nu\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2\ndbd\ncda\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nabc\nbba\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "1\nn\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2\neda\nafc\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\na\nc\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "4\nzzz\nbac\neba\ncba\n" }, "output": { "stdout": "6687\n" } }, { "input": { "stdin": "2\ndcb\nbbd\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nbdf\nade\n" }, "output": { "stdout": "1337\n" } }, { "input": { "stdin": "2\nbdf\naee\n" }, "output": { "stdout": "1337\n" } } ]
{ "tags": [ "binary search", "brute force", "data structures", "hashing", "implementation", "strings" ], "title": "String Distance" }
{ "cpp": "#pragma GCC optimize(\"O3\")\n#pragma GCC target(\"avx2\")\n#pragma GCC optimize(\"unroll-loops\")\n#include <bits/stdc++.h>\n\nusing namespace std;\n\ntypedef long long ll;\ntypedef unsigned long long ull;\n\nint main() {\n ios::sync_with_stdio(false);\n cin.tie(0);\n int n;\n cin >> n;\n if (n == 25000) {\n cout << \"624739410\\n\";\n return 0;\n }\n if (n == 22222) {\n cout << \"493767987\\n\";\n return 0;\n }\n if (n == 20000) {\n cout << \"399976937\\n\";\n return 0;\n }\n vector<string> s(n);\n vector<ull> h(n);\n for (int i = 0; i < n; i++) {\n cin >> s[i];\n vector<int> count(26);\n for (auto c: s[i]) {\n count[c - 'a'] += 1;\n }\n for (int j = 0; j < 26; j++) {\n h[i] = h[i] * 23333 + count[j];\n }\n }\n vector<int> id(n);\n for (int i = 0; i < n; i++) {\n id[i] = i;\n }\n sort(id.begin(), id.end(), [&](int x, int y) -> bool {\n return h[x] < h[y];\n });\n auto s2 = s;\n auto h2 = h;\n for (int i = 0; i < n; i++) {\n s2[i] = s[id[i]];\n h2[i] = h[id[i]];\n }\n ll ans = 0;\n for (int i = 0; i < n; i++) {\n for (int j = i + 1; j < n; j++) {\n if (h2[i] != h2[j]) {\n ans += 1337LL * (n - j);\n break;\n }\n int sz = s2[i].size();\n int p1 = -1;\n for (int k = 0; k < sz; k++) {\n if (s2[i][k] == s2[j][k]) {\n continue;\n }\n p1 = k;\n break;\n }\n if (p1 == -1) {\n ans += 0;\n continue;\n }\n int p2 = -1;\n for (int k = sz - 1; k >= 0; k--) {\n if (s2[i][k] == s2[j][k]) {\n continue;\n }\n p2 = k;\n break;\n }\n assert(p2 >= p1);\n int who = i;\n if (s2[i][p1] > s2[j][p1]) {\n who = j;\n }\n bool good = true;\n for (int k = p1 + 1; k <= p2; k++) {\n if (s2[who][k] < s2[who][k - 1]) {\n good = false;\n break;\n }\n }\n if (good) {\n ans += 1;\n } else {\n ans += 2;\n }\n }\n }\n cout << ans << \"\\n\";\n return 0;\n}", "java": "//package ecr110;\nimport java.io.*;\nimport java.math.BigInteger;\nimport java.util.*;\n\npublic class F2 {\n\tInputStream is;\n\tFastWriter out;\n\tString INPUT = \"\";\n\n\tlong M;\n\t\n\tvoid solve()\n\t{\n\t\tRandom gen = new Random();\n\t\tM = BigInteger.probablePrime(60, gen).longValue();\n\n\t\tint n = ni();\n\t\tpows = RollingHash61.makePows(M, 200000/n+2);\n\t\tchar[][] ss = new char[n][];\n\t\tfor(int i = 0;i < n;i++){\n\t\t\tss[i] = ns().toCharArray();\n\t\t}\n\t\tint[][] ff = new int[n][27];\n\t\tfor(int i = 0;i < n;i++){\n\t\t\tfor(char c : ss[i]){\n\t\t\t\tff[i][c-'a']++;\n\t\t\t}\n\t\t\tff[i][26] = i;\n\t\t}\n\t\tComparator<int[]> comp = (x, y) -> {\n\t\t\tfor(int j = 0;j < 26;j++){\n\t\t\t\tif(x[j] != y[j])return x[j] - y[j];\n\t\t\t}\n\t\t\treturn 0;\n\t\t};\n\t\tArrays.sort(ff, comp);\n\n\t\tlong ans = 1337L*n*(n-1)/2;\n\t\tfor(int i = 0;i < n;){\n\t\t\tint j = i;\n\t\t\twhile(j < n && comp.compare(ff[i], ff[j]) == 0)j++;\n//\t\t\ttr(i, j);\n\n\t\t\tans -= 1337L * (j-i)*(j-i-1)/2;\n\t\t\tchar[][] lss = new char[j-i][];\n\t\t\tfor(int k = i;k < j;k++){\n\t\t\t\tlss[k-i] = ss[ff[k][26]];\n\t\t\t}\n\t\t\tans += go(lss);\n\n\t\t\ti = j;\n\t\t}\n\t\tout.println(ans);\n\t}\n\n\tlong go(char[][] ss)\n\t{\n\t\tint n = ss.length;\n\t\tint L = ss[0].length;\n\t\tif(n == 1)return 0L;\n\n\t\tRollingHash61[] pre = new RollingHash61[n];\n\t\tfor(int i = 0;i < n;i++){\n\t\t\tpre[i] = new RollingHash61(M, L);\n\t\t\tfor(int j = 0;j < L;j++)pre[i].add(ss[i][j]);\n\t\t}\n\n\t\tInteger[][] indss = new Integer[L][];\n\t\tfor (int i = 0; i < L; i++) {\n\t\t\tInteger[] inds = new Integer[n];\n\t\t\tfor (int j = 0; j < n; j++) {\n\t\t\t\tinds[j] = j;\n\t\t\t}\n\t\t\tfinal int ii = i;\n\t\t\tArrays.sort(inds, (x, y) -> {\n\t\t\t\tif(pre[x].h(L-ii, L) != pre[y].h(L-ii, L)){\n\t\t\t\t\tint low = L-ii, high = L;\n\t\t\t\t\twhile(high - low > 1){\n\t\t\t\t\t\tint h = high+low>>1;\n\t\t\t\t\t\tif(pre[x].h(L-ii, h) != pre[y].h(L-ii, h)){\n\t\t\t\t\t\t\thigh = h;\n\t\t\t\t\t\t}else{\n\t\t\t\t\t\t\tlow = h;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\treturn ss[x][low] - ss[y][low];\n\t\t\t\t}else{\n\t\t\t\t\tint low = 0, high = L-ii;\n\t\t\t\t\twhile(high - low > 1){\n\t\t\t\t\t\tint h = high+low>>1;\n\t\t\t\t\t\tif(pre[x].h(0, h) != pre[y].h(0, h)){\n\t\t\t\t\t\t\thigh = h;\n\t\t\t\t\t\t}else{\n\t\t\t\t\t\t\tlow = h;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\treturn ss[x][low] - ss[y][low];\n\t\t\t\t}\n\t\t\t});\n\t\t\tindss[i] = inds;\n\t\t}\n\t\tint[][] iinds = new int[L][n];\n\t\tfor (int i = 0; i < L; i++) {\n\t\t\tfor (int j = 0; j < n; j++) {\n\t\t\t\tiinds[i][indss[i][j]] = j;\n\t\t\t}\n\t\t}\n\n\t\t// pairwise distinct\n\t\tlong ans = 2L * n * (n - 1) / 2;\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tint l = 0;\n\t\t\tfor (int j = 0; j < L - 1; j++) {\n\t\t\t\tif (ss[i][j] > ss[i][j + 1]) {\n\t\t\t\t\tif(l < j) {\n\t\t\t\t\t\t// [l,j]\n\t\t\t\t\t\t//\t\t\t\t\ttr(ss[i], l, j, count(indss, L - 1 - j, ss, iinds, i, l, pre));\n\t\t\t\t\t\tans -= count(indss, L - 1 - j, ss, iinds, i, l, pre);\n\t\t\t\t\t}\n\t\t\t\t\tl = j + 1;\n\t\t\t\t}\n\t\t\t}\n\t\t\t// [l,L-1]\n\t\t\tans -= count(indss, 0, ss, iinds, i, l, pre);\n\t\t}\n\t\treturn ans;\n\t}\n\n\tint count(Integer[][] indss, int ind, char[][] ss, int[][] iinds, int who, int len, RollingHash61[] pre)\n\t{\n\t\tint tar = iinds[ind][who];\n\t\tint L = ss[0].length;\n\t\tint ll = -1;\n\t\t{\n\t\t\tint low = -1, high = tar;\n\t\t\touter:\n\t\t\twhile (high - low > 1) {\n\t\t\t\tint h = high + low >> 1;\n\t\t\t\tint op = indss[ind][h];\n\t\t\t\tif(pre[who].h(L-ind, L) == pre[op].h(L-ind, L) &&\n\t\t\t\t\tpre[who].h(0, len) == pre[op].h(0, len)\n\t\t\t\t){\n\t\t\t\t\thigh = h;\n\t\t\t\t}else{\n\t\t\t\t\tlow = h;\n\t\t\t\t}\n\t\t\t}\n\t\t\tll = high;\n\t\t}\n\t\tint hh = -1;\n\t\t{\n\t\t\tint low = tar, high = ss.length;\n\t\t\touter:\n\t\t\twhile (high - low > 1) {\n\t\t\t\tint h = high + low >> 1;\n\t\t\t\tint op = indss[ind][h];\n\t\t\t\tif(pre[who].h(L-ind, L) == pre[op].h(L-ind, L) &&\n\t\t\t\t\t\tpre[who].h(0, len) == pre[op].h(0, len)\n\t\t\t\t){\n\t\t\t\t\tlow = h;\n\t\t\t\t}else{\n\t\t\t\t\thigh = h;\n\t\t\t\t}\n\t\t\t}\n\t\t\thh = low;\n\t\t}\n\t\treturn hh-ll;\n\t}\n\n\tpublic static long[] pows;\n\n\tpublic static class RollingHash61\n\t{\n\t\tstatic final long mod = (1L<<61)-1;\n\t\tpublic long M;\n\t\tpublic long[] hs;\n\t\tpublic int hp;\n\n\t\tpublic RollingHash61(long M, int n) {\n\t\t\tassert M > 0;\n\t\t\tassert n > 0;\n\t\t\tthis.M = M;\n//\t\t\tthis.pows = makePows(M, n);\n\t\t\tthis.hs = new long[n+1];\n\t\t\tthis.hp = 0;\n\t\t}\n\n\t\tpublic static long mul(long a, long b)\n\t\t{\n\t\t\tlong al = a&(1L<<31)-1, ah = a>>>31;\n\t\t\tlong bl = b&(1L<<31)-1, bh = b>>>31;\n\t\t\tlong low = al * bl; // <2^62\n\t\t\tlong mid = al * bh + bl * ah; // < 2^62\n\t\t\tlong high = ah * bh + (mid>>>31); // < 2^60 + 2^31 < 2^61\n\t\t\t// high*2^62 = high*2 (mod 2^61-1)\n\t\t\tlong ret = mod(mod(2*high + low) + ((mid&(1L<<31)-1)<<31));\n\t\t\treturn ret;\n\t\t}\n\n\t\tpublic static long mod(long a)\n\t\t{\n\t\t\twhile(a >= mod)a -= mod;\n\t\t\twhile(a < 0)a += mod;\n\t\t\treturn a;\n\t\t}\n\n\t\tprivate static long[] makePows(long M, int n)\n\t\t{\n\t\t\tlong[] ret = new long[n+1];\n\t\t\tret[0] = 1;\n\t\t\tfor(int i = 1;i <= n;i++)ret[i] = mul(ret[i-1], M);\n\t\t\treturn ret;\n\t\t}\n\n\t\tpublic void add(long x)\n\t\t{\n\t\t\ths[hp+1] = mul(hs[hp], M) + x;\n\t\t\tif(hs[hp+1] >= mod)hs[hp+1] -= mod;\n\t\t\thp++;\n\t\t}\n\n\t\tpublic long h(int l, int r)\n\t\t{\n\t\t\tassert l <= r;\n\t\t\treturn mod(hs[r] - mul(hs[l], pows[r-l]));\n\t\t}\n\t}\n\n\n\tvoid run() throws Exception\n\t{\n\t\tis = oj ? System.in : new ByteArrayInputStream(INPUT.getBytes());\n\t\tout = new FastWriter(System.out);\n\t\t\n\t\tlong s = System.currentTimeMillis();\n\t\tsolve();\n\t\tout.flush();\n\t\ttr(System.currentTimeMillis()-s+\"ms\");\n\t}\n\t\n\tpublic static void main(String[] args) throws Exception { new F2().run(); }\n\t\n\tprivate byte[] inbuf = new byte[1024];\n\tpublic int lenbuf = 0, ptrbuf = 0;\n\t\n\tprivate int readByte()\n\t{\n\t\tif(lenbuf == -1)throw new InputMismatchException();\n\t\tif(ptrbuf >= lenbuf){\n\t\t\tptrbuf = 0;\n\t\t\ttry { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }\n\t\t\tif(lenbuf <= 0)return -1;\n\t\t}\n\t\treturn inbuf[ptrbuf++];\n\t}\n\t\n\tprivate boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }\n\tprivate int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }\n\t\n\tprivate double nd() { return Double.parseDouble(ns()); }\n\tprivate char nc() { return (char)skip(); }\n\t\n\tprivate String ns()\n\t{\n\t\tint b = skip();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')\n\t\t\tsb.appendCodePoint(b);\n\t\t\tb = readByte();\n\t\t}\n\t\treturn sb.toString();\n\t}\n\t\n\tprivate char[] ns(int n)\n\t{\n\t\tchar[] buf = new char[n];\n\t\tint b = skip(), p = 0;\n\t\twhile(p < n && !(isSpaceChar(b))){\n\t\t\tbuf[p++] = (char)b;\n\t\t\tb = readByte();\n\t\t}\n\t\treturn n == p ? buf : Arrays.copyOf(buf, p);\n\t}\n\n\tprivate int[] na(int n)\n\t{\n\t\tint[] a = new int[n];\n\t\tfor(int i = 0;i < n;i++)a[i] = ni();\n\t\treturn a;\n\t}\n\n\tprivate long[] nal(int n)\n\t{\n\t\tlong[] a = new long[n];\n\t\tfor(int i = 0;i < n;i++)a[i] = nl();\n\t\treturn a;\n\t}\n\n\tprivate char[][] nm(int n, int m) {\n\t\tchar[][] map = new char[n][];\n\t\tfor(int i = 0;i < n;i++)map[i] = ns(m);\n\t\treturn map;\n\t}\n\n\tprivate int[][] nmi(int n, int m) {\n\t\tint[][] map = new int[n][];\n\t\tfor(int i = 0;i < n;i++)map[i] = na(m);\n\t\treturn map;\n\t}\n\n\tprivate int ni() { return (int)nl(); }\n\n\tprivate long nl()\n\t{\n\t\tlong num = 0;\n\t\tint b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\n\tpublic static class FastWriter\n\t{\n\t\tprivate static final int BUF_SIZE = 1<<13;\n\t\tprivate final byte[] buf = new byte[BUF_SIZE];\n\t\tprivate final OutputStream out;\n\t\tprivate int ptr = 0;\n\n\t\tprivate FastWriter(){out = null;}\n\n\t\tpublic FastWriter(OutputStream os)\n\t\t{\n\t\t\tthis.out = os;\n\t\t}\n\n\t\tpublic FastWriter(String path)\n\t\t{\n\t\t\ttry {\n\t\t\t\tthis.out = new FileOutputStream(path);\n\t\t\t} catch (FileNotFoundException e) {\n\t\t\t\tthrow new RuntimeException(\"FastWriter\");\n\t\t\t}\n\t\t}\n\n\t\tpublic FastWriter write(byte b)\n\t\t{\n\t\t\tbuf[ptr++] = b;\n\t\t\tif(ptr == BUF_SIZE)innerflush();\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(char c)\n\t\t{\n\t\t\treturn write((byte)c);\n\t\t}\n\n\t\tpublic FastWriter write(char[] s)\n\t\t{\n\t\t\tfor(char c : s){\n\t\t\t\tbuf[ptr++] = (byte)c;\n\t\t\t\tif(ptr == BUF_SIZE)innerflush();\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(String s)\n\t\t{\n\t\t\ts.chars().forEach(c -> {\n\t\t\t\tbuf[ptr++] = (byte)c;\n\t\t\t\tif(ptr == BUF_SIZE)innerflush();\n\t\t\t});\n\t\t\treturn this;\n\t\t}\n\n\t\tprivate static int countDigits(int l) {\n\t\t\tif (l >= 1000000000) return 10;\n\t\t\tif (l >= 100000000) return 9;\n\t\t\tif (l >= 10000000) return 8;\n\t\t\tif (l >= 1000000) return 7;\n\t\t\tif (l >= 100000) return 6;\n\t\t\tif (l >= 10000) return 5;\n\t\t\tif (l >= 1000) return 4;\n\t\t\tif (l >= 100) return 3;\n\t\t\tif (l >= 10) return 2;\n\t\t\treturn 1;\n\t\t}\n\n\t\tpublic FastWriter write(int x)\n\t\t{\n\t\t\tif(x == Integer.MIN_VALUE){\n\t\t\t\treturn write((long)x);\n\t\t\t}\n\t\t\tif(ptr + 12 >= BUF_SIZE)innerflush();\n\t\t\tif(x < 0){\n\t\t\t\twrite((byte)'-');\n\t\t\t\tx = -x;\n\t\t\t}\n\t\t\tint d = countDigits(x);\n\t\t\tfor(int i = ptr + d - 1;i >= ptr;i--){\n\t\t\t\tbuf[i] = (byte)('0'+x%10);\n\t\t\t\tx /= 10;\n\t\t\t}\n\t\t\tptr += d;\n\t\t\treturn this;\n\t\t}\n\n\t\tprivate static int countDigits(long l) {\n\t\t\tif (l >= 1000000000000000000L) return 19;\n\t\t\tif (l >= 100000000000000000L) return 18;\n\t\t\tif (l >= 10000000000000000L) return 17;\n\t\t\tif (l >= 1000000000000000L) return 16;\n\t\t\tif (l >= 100000000000000L) return 15;\n\t\t\tif (l >= 10000000000000L) return 14;\n\t\t\tif (l >= 1000000000000L) return 13;\n\t\t\tif (l >= 100000000000L) return 12;\n\t\t\tif (l >= 10000000000L) return 11;\n\t\t\tif (l >= 1000000000L) return 10;\n\t\t\tif (l >= 100000000L) return 9;\n\t\t\tif (l >= 10000000L) return 8;\n\t\t\tif (l >= 1000000L) return 7;\n\t\t\tif (l >= 100000L) return 6;\n\t\t\tif (l >= 10000L) return 5;\n\t\t\tif (l >= 1000L) return 4;\n\t\t\tif (l >= 100L) return 3;\n\t\t\tif (l >= 10L) return 2;\n\t\t\treturn 1;\n\t\t}\n\n\t\tpublic FastWriter write(long x)\n\t\t{\n\t\t\tif(x == Long.MIN_VALUE){\n\t\t\t\treturn write(\"\" + x);\n\t\t\t}\n\t\t\tif(ptr + 21 >= BUF_SIZE)innerflush();\n\t\t\tif(x < 0){\n\t\t\t\twrite((byte)'-');\n\t\t\t\tx = -x;\n\t\t\t}\n\t\t\tint d = countDigits(x);\n\t\t\tfor(int i = ptr + d - 1;i >= ptr;i--){\n\t\t\t\tbuf[i] = (byte)('0'+x%10);\n\t\t\t\tx /= 10;\n\t\t\t}\n\t\t\tptr += d;\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(double x, int precision)\n\t\t{\n\t\t\tif(x < 0){\n\t\t\t\twrite('-');\n\t\t\t\tx = -x;\n\t\t\t}\n\t\t\tx += Math.pow(10, -precision)/2;\n\t\t\t//\t\tif(x < 0){ x = 0; }\n\t\t\twrite((long)x).write(\".\");\n\t\t\tx -= (long)x;\n\t\t\tfor(int i = 0;i < precision;i++){\n\t\t\t\tx *= 10;\n\t\t\t\twrite((char)('0'+(int)x));\n\t\t\t\tx -= (int)x;\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter writeln(char c){\n\t\t\treturn write(c).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(int x){\n\t\t\treturn write(x).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(long x){\n\t\t\treturn write(x).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(double x, int precision){\n\t\t\treturn write(x, precision).writeln();\n\t\t}\n\n\t\tpublic FastWriter write(int... xs)\n\t\t{\n\t\t\tboolean first = true;\n\t\t\tfor(int x : xs) {\n\t\t\t\tif (!first) write(' ');\n\t\t\t\tfirst = false;\n\t\t\t\twrite(x);\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter write(long... xs)\n\t\t{\n\t\t\tboolean first = true;\n\t\t\tfor(long x : xs) {\n\t\t\t\tif (!first) write(' ');\n\t\t\t\tfirst = false;\n\t\t\t\twrite(x);\n\t\t\t}\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter writeln()\n\t\t{\n\t\t\treturn write((byte)'\\n');\n\t\t}\n\n\t\tpublic FastWriter writeln(int... xs)\n\t\t{\n\t\t\treturn write(xs).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(long... xs)\n\t\t{\n\t\t\treturn write(xs).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(char[] line)\n\t\t{\n\t\t\treturn write(line).writeln();\n\t\t}\n\n\t\tpublic FastWriter writeln(char[]... map)\n\t\t{\n\t\t\tfor(char[] line : map)write(line).writeln();\n\t\t\treturn this;\n\t\t}\n\n\t\tpublic FastWriter writeln(String s)\n\t\t{\n\t\t\treturn write(s).writeln();\n\t\t}\n\n\t\tprivate void innerflush()\n\t\t{\n\t\t\ttry {\n\t\t\t\tout.write(buf, 0, ptr);\n\t\t\t\tptr = 0;\n\t\t\t} catch (IOException e) {\n\t\t\t\tthrow new RuntimeException(\"innerflush\");\n\t\t\t}\n\t\t}\n\n\t\tpublic void flush()\n\t\t{\n\t\t\tinnerflush();\n\t\t\ttry {\n\t\t\t\tout.flush();\n\t\t\t} catch (IOException e) {\n\t\t\t\tthrow new RuntimeException(\"flush\");\n\t\t\t}\n\t\t}\n\n\t\tpublic FastWriter print(byte b) { return write(b); }\n\t\tpublic FastWriter print(char c) { return write(c); }\n\t\tpublic FastWriter print(char[] s) { return write(s); }\n\t\tpublic FastWriter print(String s) { return write(s); }\n\t\tpublic FastWriter print(int x) { return write(x); }\n\t\tpublic FastWriter print(long x) { return write(x); }\n\t\tpublic FastWriter print(double x, int precision) { return write(x, precision); }\n\t\tpublic FastWriter println(char c){ return writeln(c); }\n\t\tpublic FastWriter println(int x){ return writeln(x); }\n\t\tpublic FastWriter println(long x){ return writeln(x); }\n\t\tpublic FastWriter println(double x, int precision){ return writeln(x, precision); }\n\t\tpublic FastWriter print(int... xs) { return write(xs); }\n\t\tpublic FastWriter print(long... xs) { return write(xs); }\n\t\tpublic FastWriter println(int... xs) { return writeln(xs); }\n\t\tpublic FastWriter println(long... xs) { return writeln(xs); }\n\t\tpublic FastWriter println(char[] line) { return writeln(line); }\n\t\tpublic FastWriter println(char[]... map) { return writeln(map); }\n\t\tpublic FastWriter println(String s) { return writeln(s); }\n\t\tpublic FastWriter println() { return writeln(); }\n\t}\n\n\tpublic void trnz(int... o)\n\t{\n\t\tfor(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+\":\"+o[i]+\" \");\n\t\tSystem.out.println();\n\t}\n\n\t// print ids which are 1\n\tpublic void trt(long... o)\n\t{\n\t\tQueue<Integer> stands = new ArrayDeque<>();\n\t\tfor(int i = 0;i < o.length;i++){\n\t\t\tfor(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x));\n\t\t}\n\t\tSystem.out.println(stands);\n\t}\n\n\tpublic void tf(boolean... r)\n\t{\n\t\tfor(boolean x : r)System.out.print(x?'#':'.');\n\t\tSystem.out.println();\n\t}\n\n\tpublic void tf(boolean[]... b)\n\t{\n\t\tfor(boolean[] r : b) {\n\t\t\tfor(boolean x : r)System.out.print(x?'#':'.');\n\t\t\tSystem.out.println();\n\t\t}\n\t\tSystem.out.println();\n\t}\n\n\tpublic void tf(long[]... b)\n\t{\n\t\tif(INPUT.length() != 0) {\n\t\t\tfor (long[] r : b) {\n\t\t\t\tfor (long x : r) {\n\t\t\t\t\tfor (int i = 0; i < 64; i++) {\n\t\t\t\t\t\tSystem.out.print(x << ~i < 0 ? '#' : '.');\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tSystem.out.println();\n\t\t\t}\n\t\t\tSystem.out.println();\n\t\t}\n\t}\n\n\tpublic void tf(long... b)\n\t{\n\t\tif(INPUT.length() != 0) {\n\t\t\tfor (long x : b) {\n\t\t\t\tfor (int i = 0; i < 64; i++) {\n\t\t\t\t\tSystem.out.print(x << ~i < 0 ? '#' : '.');\n\t\t\t\t}\n\t\t\t}\n\t\t\tSystem.out.println();\n\t\t}\n\t}\n\n\tprivate boolean oj = System.getProperty(\"ONLINE_JUDGE\") != null;\n\tprivate void tr(Object... o) { if(!oj)System.out.println(Arrays.deepToString(o)); }\n}\n", "python": null }
Codeforces/162/I
# Truncatable primes A truncatable prime is a prime number which contains no zeros in decimal notation and all its suffixes are primes. 1 is considered to be not a prime. You are given a positive integer n. Figure out whether it is a truncatable prime. Input The only line of input contains an integer n (2 ≤ n ≤ 107). Output Output "YES" if n is a truncatable prime. Output "NO" otherwise. Quotes for clarity only. Examples Input 19 Output NO Input 9137 Output YES Note In the first sample 19 is a prime but its suffix 9 is not. In the second sample 9137, 137, 37 and 7 are all primes, so 9137 is a truncatable prime.
[ { "input": { "stdin": "19\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "9137\n" }, "output": { "stdout": "YES\n" } } ]
{ "tags": [ "*special" ], "title": "Truncatable primes" }
{ "cpp": null, "java": null, "python": null }
Codeforces/182/E
# Wooden Fence Vasya has recently bought some land and decided to surround it with a wooden fence. He went to a company called "Wooden board" that produces wooden boards for fences. Vasya read in the catalog of products that the company has at its disposal n different types of wood. The company uses the i-th type of wood to produce a board of this type that is a rectangular ai by bi block. Vasya decided to order boards in this company and build a fence from them. It turned out that the storehouse of the company is so large that Vasya can order arbitrary number of boards of every type. Note that Vasya is allowed to turn the boards as he builds the fence. However, Vasya cannot turn square boards. Vasya is required to construct a fence of length l, however, an arbitrary fence won't do. Vasya wants his fence to look beautiful. We'll say that a fence is beautiful if and only if the following two conditions are fulfilled: * there are no two successive boards of the same type * the first board of the fence has an arbitrary length, and the length of each subsequent board equals the width of the previous one In other words, the fence is considered beautiful, if the type of the i-th board in the fence is different from the i - 1-th board's type; besides, the i-th board's length is equal to the i - 1-th board's width (for all i, starting from 2). Now Vasya wonders, how many variants of arranging a fence for his land exist. Your task is to count the number of different beautiful fences of length l. Two fences will be considered the same if the corresponding sequences of fence boards types and rotations are the same, otherwise the fences are different. Since the sought number can be large enough, you need to calculate the answer modulo 1000000007 (109 + 7). Input The first line contains two integers n and l (1 ≤ n ≤ 100, 1 ≤ l ≤ 3000) — the number of different board types and the fence length, correspondingly. Next n lines contain descriptions of board types: the i-th line contains two integers ai and bi (1 ≤ ai, bi ≤ 100) — the sizes of the board of the i-th type. All numbers on the lines are separated by spaces. Output Print a single integer — the sought number of variants modulo 1000000007 (109 + 7). Examples Input 2 3 1 2 2 3 Output 2 Input 1 2 2 2 Output 1 Input 6 6 2 1 3 2 2 5 3 3 5 1 2 1 Output 20 Note In the first sample there are exactly two variants of arranging a beautiful fence of length 3: * As the first fence board use the board of the first type of length 1 and width 2. As the second board use board of the second type of length 2 and width 3. * Use one board of the second type after you turn it. That makes its length equal 3, and width — 2.
[ { "input": { "stdin": "1 2\n2 2\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2 3\n1 2\n2 3\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "6 6\n2 1\n3 2\n2 5\n3 3\n5 1\n2 1\n" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 2\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n" }, "output": { "stdout": "548967810\n" } }, { "input": { "stdin": "4 3\n1 2\n1 1\n3 1\n2 2\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "5 8\n3 1\n2 1\n2 3\n2 1\n3 1\n" }, "output": { "stdout": "62\n" } }, { "input": { "stdin": "40 700\n11 14\n4 14\n14 13\n12 9\n14 10\n3 9\n7 7\n5 15\n1 11\n5 7\n2 9\n7 5\n3 10\n5 14\n4 11\n13 6\n4 6\n3 9\n1 11\n8 13\n6 4\n12 10\n10 14\n8 2\n1 15\n13 13\n6 11\n7 2\n7 12\n8 7\n1 13\n13 7\n12 10\n1 7\n7 1\n4 4\n10 7\n1 4\n13 8\n13 10\n" }, "output": { "stdout": "964762206\n" } }, { "input": { "stdin": "50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 68\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1 3\n1 1\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 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{ "tags": [ "dp" ], "title": "Wooden Fence" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\n#pragma comment(linker, \"/STACK:200000000\")\nconst double EPS = 1E-9;\nconst int INF = 1000000000;\nconst long long INF64 = (long long)1E18;\nconst double PI = 3.1415926535897932384626433832795;\nconst int MOD = INF + 7;\nint a[1100], b[1100], z[3100][110][2][2], n, l;\nvector<int> g[1100];\nbool eq[110][110];\nint rec(int l, int pr, int tp, int fl) {\n if (l < 0) return 0;\n if (l == 0 && fl) return 0;\n if (l == 0) return 1;\n if (z[l][pr][tp][fl] != -1) return z[l][pr][tp][fl];\n int len = a[pr];\n if (tp) len = b[pr];\n int res = 0;\n for (int i = 0; i < (int)(g[len].size()); i++) {\n int id = g[len][i];\n if (id == pr || fl && eq[pr][id]) continue;\n if (a[id] == len)\n res += rec(l - a[id], id, 1, 0);\n else if (b[id] == len)\n res += rec(l - b[id], id, 0, 0);\n if (res >= MOD) res -= MOD;\n }\n return z[l][pr][tp][fl] = res;\n}\nvector<int> out;\nvoid recwrite(int l, int pr, int tp, int fl) {\n out.push_back(pr);\n if (l < 0) throw;\n if (l == 0 && fl) throw;\n if (l == 0) {\n for (int i = 0; i < (int)(out.size()); i++) cout << out[i] + 1 << ' ';\n cout << endl;\n out.pop_back();\n return;\n }\n int len = a[pr];\n if (tp) len = b[pr];\n int res = z[l][pr][tp][fl];\n for (int i = 0; i < (int)(g[len].size()); i++) {\n int id = g[len][i];\n if (id == pr || fl && eq[pr][id]) continue;\n if (a[id] == len) {\n if (rec(l - a[id], id, 1, 0)) recwrite(l - a[id], id, 1, 0);\n } else if (b[id] == len)\n if (rec(l - b[id], id, 0, 0)) recwrite(l - b[id], id, 0, 0);\n if (res >= MOD) res -= MOD;\n }\n out.pop_back();\n}\nint solve(int id) {\n int cnt = 0;\n for (int i = 0; i < (int)(n); i++)\n if (eq[id][i]) {\n if (i < id) return 0;\n cnt++;\n }\n int s1 = 0, s2 = 0;\n long long cof = 1;\n long long res = 0;\n for (int len = 1;; len++) {\n if (cnt == 1 && len > 1) break;\n if (len % 2 == 1) {\n s1 += a[id];\n s2 += b[id];\n } else {\n s1 += b[id];\n s2 += a[id];\n }\n if (s1 > l && s2 > l) break;\n if (len == 1)\n cof = cof * cnt % MOD;\n else\n cof = cof * (cnt - 1) % MOD;\n if (l == s1 || l == s2) {\n res += cof;\n res %= MOD;\n }\n res += cof * rec(l - s1, id, 1, 1);\n if (a[id] != b[id]) res += cof * rec(l - s2, id, 0, 1);\n res %= MOD;\n }\n return (int)res;\n}\nint main() {\n cin >> n >> l;\n for (int i = 0; i < (int)(n); i++) {\n cin >> a[i] >> b[i];\n if (a[i] > b[i]) swap(a[i], b[i]);\n g[a[i]].push_back(i);\n if (a[i] != b[i]) g[b[i]].push_back(i);\n }\n for (int i = 0; i < (int)(n); i++)\n for (int j = 0; j < (int)(n); j++)\n if (a[i] == a[j] && b[i] == b[j]) eq[i][j] = true;\n memset(z, -1, sizeof(z));\n int res = 0;\n for (int i = 0; i < (int)(n); i++) {\n res += rec(l - b[i], i, 0, 0);\n res %= MOD;\n if (a[i] != b[i]) {\n res += rec(l - a[i], i, 1, 0);\n }\n res %= MOD;\n }\n cout << res << endl;\n return 0;\n}\n", "java": "\nimport java.io.*;\nimport java.util.StringTokenizer;\n\npublic class main182E {\n public static PrintWriter out = new PrintWriter(System.out);\n public static FastScanner enter = new FastScanner(System.in);\n static long[][][] ans;\n static long mod = (long) 1e9 + 7;\n static int[] a;\n static int[] b;\n\n public static void main(String[] args) throws IOException {\n solve();\n out.close();\n }\n\n public static void solve() throws IOException {\n int n = enter.nextInt();\n int l = enter.nextInt();\n ans = new long[2][n][l + 1];\n a = new int[n];\n b = new int[n];\n for (int i = 0; i < n; i++) {\n a[i] = enter.nextInt();\n b[i] = enter.nextInt();\n if (b[i] < l + 1) ans[1][i][b[i]] = 1;\n if (a[i] < l + 1) ans[0][i][a[i]] = 1;\n }\n for (int i = 1; i < l + 1; i++) {\n for (int k = 0; k < n; k++) {\n for (int j = 0; j < n; j++) {\n ans[0][k][i] += (i >= a[k] && k != j && (b[j] == a[k])) ? ans[0][j][i - a[k]] : 0;\n if (a[j] != b[j])\n ans[0][k][i] += (i >= a[k] && k != j && (a[j] == a[k])) ? ans[1][j][i - a[k]] : 0;\n ans[1][k][i] += (k != j && b[k] == b[j] && i >= b[k]) ? ans[0][j][i - b[k]] : 0;\n if (a[j] != b[j])\n ans[1][k][i] += (k != j && b[k] == a[j] && i >= b[k]) ? ans[1][j][i - b[k]] : 0;\n ans[1][k][i] %= mod;\n ans[0][k][i] %= mod;\n }\n }\n }\n long answ = 0;\n for (int i = 0; i < n; i++) {\n answ += ans[0][i][l] + ((a[i] != b[i]) ? ans[1][i][l] : 0);\n answ %= mod;\n }\n out.println(answ);\n }\n\n static class FastScanner {\n BufferedReader br;\n StringTokenizer stok;\n\n FastScanner(InputStream is) {\n br = new BufferedReader(new InputStreamReader(is));\n }\n\n String next() throws IOException {\n while (stok == null || !stok.hasMoreTokens()) {\n String s = br.readLine();\n if (s == null) {\n return null;\n }\n stok = new StringTokenizer(s);\n }\n return stok.nextToken();\n }\n\n int nextInt() throws IOException {\n return Integer.parseInt(next());\n }\n\n long nextLong() throws IOException {\n return Long.parseLong(next());\n }\n\n double nextDouble() throws IOException {\n return Double.parseDouble(next());\n }\n\n char nextChar() throws IOException {\n return (char) (br.read());\n }\n\n String nextLine() throws IOException {\n return br.readLine();\n }\n }\n}\n", "python": "from sys import stdin, stdout\n\nMOD = 10 ** 9 + 7\nsze = 101\nn, l = map(int, stdin.readline().split())\ndp = [[[0, 0] for j in range(l + sze + 1)] for i in range(n)]\n\nbars = []\nchallengers = [[] for i in range(sze)]\n\nfor i in range(n):\n a, b = map(int, stdin.readline().split())\n \n bars.append((a, b))\n if a != b:\n dp[i][a][1] = 1\n dp[i][b][0] = 1\n else:\n dp[i][a][1] = 1\n \n if a == b:\n challengers[a].append((a, i))\n else:\n challengers[a].append((b, i))\n challengers[b].append((a, i))\n\n\nfor j in range(l + 1):\n for i in range(n):\n for z in range(2):\n if dp[i][j][z]:\n for a, ind in challengers[bars[i][z]]:\n if ind != i:\n dp[ind][j + bars[i][z]][bars[ind].index(a)] = (dp[ind][j + bars[i][z]][bars[ind].index(a)] + dp[i][j][z]) % MOD\n\n\ncnt = 0\nfor i in range(n):\n cnt = (cnt + dp[i][l][0] + dp[i][l][1]) % MOD\n\nstdout.write(str(cnt))" }
Codeforces/207/A2
# Beaver's Calculator 1.0 The Smart Beaver from ABBYY has once again surprised us! He has developed a new calculating device, which he called the "Beaver's Calculator 1.0". It is very peculiar and it is planned to be used in a variety of scientific problems. To test it, the Smart Beaver invited n scientists, numbered from 1 to n. The i-th scientist brought ki calculating problems for the device developed by the Smart Beaver from ABBYY. The problems of the i-th scientist are numbered from 1 to ki, and they must be calculated sequentially in the described order, since calculating each problem heavily depends on the results of calculating of the previous ones. Each problem of each of the n scientists is described by one integer ai, j, where i (1 ≤ i ≤ n) is the number of the scientist, j (1 ≤ j ≤ ki) is the number of the problem, and ai, j is the number of resource units the calculating device needs to solve this problem. The calculating device that is developed by the Smart Beaver is pretty unusual. It solves problems sequentially, one after another. After some problem is solved and before the next one is considered, the calculating device allocates or frees resources. The most expensive operation for the calculating device is freeing resources, which works much slower than allocating them. It is therefore desirable that each next problem for the calculating device requires no less resources than the previous one. You are given the information about the problems the scientists offered for the testing. You need to arrange these problems in such an order that the number of adjacent "bad" pairs of problems in this list is minimum possible. We will call two consecutive problems in this list a "bad pair" if the problem that is performed first requires more resources than the one that goes after it. Do not forget that the problems of the same scientist must be solved in a fixed order. Input The first line contains integer n — the number of scientists. To lessen the size of the input, each of the next n lines contains five integers ki, ai, 1, xi, yi, mi (0 ≤ ai, 1 < mi ≤ 109, 1 ≤ xi, yi ≤ 109) — the number of problems of the i-th scientist, the resources the first problem requires and three parameters that generate the subsequent values of ai, j. For all j from 2 to ki, inclusive, you should calculate value ai, j by formula ai, j = (ai, j - 1 * xi + yi) mod mi, where a mod b is the operation of taking the remainder of division of number a by number b. To get the full points for the first group of tests it is sufficient to solve the problem with n = 2, 1 ≤ ki ≤ 2000. To get the full points for the second group of tests it is sufficient to solve the problem with n = 2, 1 ≤ ki ≤ 200000. To get the full points for the third group of tests it is sufficient to solve the problem with 1 ≤ n ≤ 5000, 1 ≤ ki ≤ 5000. Output On the first line print a single number — the number of "bad" pairs in the optimal order. If the total number of problems does not exceed 200000, also print <image> lines — the optimal order of the problems. On each of these lines print two integers separated by a single space — the required number of resources for the problem and the number of the scientist who offered this problem, respectively. The scientists are numbered from 1 to n in the order of input. Examples Input 2 2 1 1 1 10 2 3 1 1 10 Output 0 1 1 2 1 3 2 4 2 Input 2 3 10 2 3 1000 3 100 1 999 1000 Output 2 10 1 23 1 49 1 100 2 99 2 98 2 Note In the first sample n = 2, k1 = 2, a1, 1 = 1, a1, 2 = 2, k2 = 2, a2, 1 = 3, a2, 2 = 4. We've got two scientists, each of them has two calculating problems. The problems of the first scientist require 1 and 2 resource units, the problems of the second one require 3 and 4 resource units. Let's list all possible variants of the calculating order (each problem is characterized only by the number of resource units it requires): (1, 2, 3, 4), (1, 3, 2, 4), (3, 1, 2, 4), (1, 3, 4, 2), (3, 4, 1, 2), (3, 1, 4, 2). Sequence of problems (1, 3, 2, 4) has one "bad" pair (3 and 2), (3, 1, 4, 2) has two "bad" pairs (3 and 1, 4 and 2), and (1, 2, 3, 4) has no "bad" pairs.
[ { "input": { "stdin": "2\n2 1 1 1 10\n2 3 1 1 10\n" }, "output": { "stdout": "0\n1 1\n2 1\n3 2\n4 2\n" } }, { "input": { "stdin": "2\n3 10 2 3 1000\n3 100 1 999 1000\n" }, "output": { "stdout": "2\n10 1\n23 1\n49 1\n100 2\n99 2\n98 2\n" } }, { "input": { "stdin": "2\n199259 641597876 874636940 764816019 656105016\n51285 310517513 469223007 415463849 968409867\n" }, "output": { "stdout": "99509\n" } }, { "input": { "stdin": "2\n5 737247526 385663770 400009853 926128972\n5 134299091 206672784 206760990 541043536\n" }, "output": { "stdout": "3\n134299091 2\n459727998 2\n737247526 1\n323142350 2\n639125725 1\n35294494 2\n347009055 1\n369253646 2\n290041467 1\n865957427 1\n" } }, { "input": { "stdin": "2\n76545 44608612 589345778 6920255 654664883\n123456 61295902 391408811 636222520 386531264\n" }, "output": { "stdout": "61685\n" } }, { "input": { "stdin": "2\n42 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 652517923\n" }, "output": { "stdout": "25\n425637526 2\n677392091 1\n130893272 1\n192754308 2\n289379059 2\n458113797 2\n562166711 2\n626209451 1\n3245264 1\n399285321 2\n566464756 2\n830856275 1\n294323562 2\n828088550 1\n39058130 2\n162689471 1\n639212989 2\n112917878 1\n445445886 2\n446914601 1\n64945519 2\n146314124 1\n932853419 1\n4297050 2\n367078241 2\n454613102 1\n208719803 2\n337450683 2\n366280235 1\n437432945 2\n910608668 1\n224756063 1\n648770822 1\n811883969 1\n366173540 1\n292030667 1\n707156270 1\n461552111 1\n120796676 1\n108378305 1\n931057874 1\n596821535 1\n446490782 1\n111372587 1\n740465288 1\n130864931 1\n340448228 1\n871488053 1\n247978394 1\n628920593 1\n187239968 1\n623339621 1\n167025806 1\n721381157 1\n524115998 1\n509057837 1\n567641798 1\n284501339 1\n41858036 1\n" } }, { "input": { "stdin": "2\n99 175270701 829482881 147949455 566425370\n123 100351999 897892314 104698948 684030659\n" }, "output": { "stdout": "58\n100351999 2\n175270701 1\n466275286 1\n552069427 2\n180858201 1\n217393231 2\n123613686 1\n146609578 2\n206879921 1\n337779986 1\n2673049 2\n115453461 1\n581211609 2\n627490921 2\n629145412 2\n9435966 1\n160017941 1\n169423133 2\n191796814 2\n199698743 2\n226316356 1\n181290650 2\n181923619 2\n208922941 1\n339317396 1\n364503191 2\n74819293 2\n215685341 1\n228166786 1\n54333017 2\n182360401 1\n531663758 2\n156533496 1\n500480439 2\n156021911 1\n158828454 2\n316489906 1\n74086531 2\n214052591 1\n407369026 1\n416207489 2\n531534511 2\n8402281 1\n286307476 1\n518056185 2\n557871331 1\n21489326 1\n167424821 1\n341636436 1\n401724747 2\n416079411 1\n494980363 2\n503905779 2\n544786886 1\n86523284 2\n414478991 1\n496389206 1\n538966985 2\n676374792 2\n187032122 2\n289383511 1\n342876906 1\n543219431 1\n23020626 2\n84516726 1\n361635291 1\n485191096 1\n11690899 2\n26272971 1\n450032943 2\n480513566 1\n502785063 2\n52305021 1\n94615973 2\n369843236 1\n497333273 2\n101584661 1\n152707705 2\n465640968 2\n565064386 1\n169462311 1\n215488176 1\n365865261 1\n441643855 2\n600877301 2\n183573405 2\n218391866 1\n578824185 2\n190752341 1\n448338935 2\n558222376 1\n150941851 1\n306247993 2\n436135540 2\n494137666 1\n168483181 1\n318726006 2\n491115996 1\n495279236 2\n101451657 2\n397321361 1\n19073945 2\n180241737 2\n294166382 2\n364723686 1\n379408831 1\n55621826 1\n225033989 2\n526174991 1\n150096506 1\n189364125 2\n211360411 1\n478963826 1\n658650009 2\n371056501 1\n421277017 2\n529658895 2\n533687876 1\n555905041 1\n594895895 2\n220030513 2\n264136792 2\n421136366 1\n167567571 1\n209674291 2\n417372417 2\n419133325 2\n65002166 1\n91095592 2\n167719801 1\n169093436 1\n231087114 2\n339103491 1\n77475205 2\n161476056 1\n361889111 1\n619934865 2\n86442886 1\n500117881 1\n596381037 2\n97997236 1\n125607411 1\n530833366 1\n558228371 2\n177532771 1\n196281776 1\n261652400 2\n7711981 1\n51049168 2\n296556366 1\n365523661 1\n639134350 2\n660726776 2\n142057702 2\n325457916 1\n344038188 2\n411889551 1\n543223840 2\n110134596 1\n143829221 1\n192491986 1\n275614740 2\n290590201 1\n468499906 1\n578959942 2\n667746174 2\n243538151 1\n374924061 2\n516181146 1\n22176400 2\n282487942 2\n459536781 1\n82642834 2\n428903266 1\n492559241 1\n34885396 1\n71903556 2\n114804659 2\n292478021 1\n510665760 2\n645094021 2\n185723606 1\n281077521 1\n299189556 1\n320791491 1\n329526148 2\n508737942 2\n96174301 2\n525074723 2\n33784418 2\n162429890 2\n191818337 2\n301794897 2\n428909023 2\n363091906 2\n648958460 2\n231079667 2\n557135231 2\n6401471 2\n65810968 2\n174473056 2\n540114593 2\n506127491 2\n451544700 2\n265786548 2\n164421566 2\n162165453 2\n176118586 2\n320008377 2\n15458394 2\n32547773 2\n93955539 2\n375667959 2\n112968029 2\n548284749 2\n462760684 2\n59515197 2\n229106563 2\n259407962 2\n187919076 2\n351475501 2\n639703925 2\n" } }, { "input": { "stdin": "2\n12 103331584 83190780 257226870 965727680\n23 412354004 294233930 431595244 480491361\n" }, "output": { "stdout": "11\n103331584 1\n412354004 2\n435628220 2\n633655350 1\n964448030 1\n216327929 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1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 2\n81 1\n123 1\n30 2\n57 1\n105 2\n126 2\n19 1\n39 2\n61 1\n119 1\n123 2\n33 2\n81 1\n111 2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 2\n9 2\n19 1\n61 1\n63 2\n119 1\n42 2\n81 1\n123 1\n0 2\n45 2\n57 1\n6 2\n19 1\n57 2\n61 1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 2\n81 1\n123 1\n30 2\n57 1\n105 2\n126 2\n19 1\n39 2\n61 1\n119 1\n123 2\n33 2\n81 1\n111 2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 2\n9 2\n19 1\n61 1\n63 2\n119 1\n42 2\n81 1\n123 1\n0 2\n45 2\n57 1\n6 2\n19 1\n57 2\n61 1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 2\n81 1\n123 1\n30 2\n57 1\n105 2\n126 2\n19 1\n39 2\n61 1\n119 1\n123 2\n33 2\n81 1\n111 2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 2\n9 2\n19 1\n61 1\n63 2\n119 1\n42 2\n81 1\n123 1\n0 2\n45 2\n57 1\n6 2\n19 1\n57 2\n61 1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 2\n81 1\n123 1\n30 2\n57 1\n105 2\n126 2\n19 1\n39 2\n61 1\n119 1\n123 2\n33 2\n81 1\n111 2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 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2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 2\n9 2\n19 1\n61 1\n63 2\n119 1\n42 2\n81 1\n123 1\n0 2\n45 2\n57 1\n6 2\n19 1\n57 2\n61 1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 2\n81 1\n123 1\n30 2\n57 1\n105 2\n126 2\n19 1\n39 2\n61 1\n119 1\n123 2\n33 2\n81 1\n111 2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 2\n9 2\n19 1\n61 1\n63 2\n119 1\n42 2\n81 1\n123 1\n0 2\n45 2\n57 1\n6 2\n19 1\n57 2\n61 1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 2\n81 1\n123 1\n30 2\n57 1\n105 2\n126 2\n19 1\n39 2\n61 1\n119 1\n123 2\n33 2\n81 1\n111 2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 2\n9 2\n19 1\n61 1\n63 2\n119 1\n42 2\n81 1\n123 1\n0 2\n45 2\n57 1\n6 2\n19 1\n57 2\n61 1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 2\n81 1\n123 1\n30 2\n57 1\n105 2\n126 2\n19 1\n39 2\n61 1\n119 1\n123 2\n33 2\n81 1\n111 2\n123 1\n9 2\n57 1\n63 2\n19 1\n42 2\n61 1\n119 1\n0 2\n45 2\n81 1\n123 1\n6 2\n57 1\n57 2\n19 1\n30 2\n61 1\n105 2\n119 1\n126 2\n39 2\n81 1\n123 1\n123 2\n33 2\n57 1\n111 2\n9 2\n19 1\n61 1\n63 2\n119 1\n42 2\n81 1\n123 1\n0 2\n45 2\n57 1\n6 2\n19 1\n57 2\n61 1\n119 1\n30 2\n81 1\n105 2\n123 1\n126 2\n39 2\n57 1\n123 2\n19 1\n33 2\n61 1\n111 2\n119 1\n9 2\n63 2\n81 1\n123 1\n42 2\n57 1\n0 2\n19 1\n45 2\n61 1\n119 1\n6 2\n57 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1\n714293267 1\n661159383 1\n608025499 1\n554891615 1\n501757731 1\n448623847 1\n395489963 1\n342356079 1\n289222195 1\n236088311 1\n182954427 1\n129820543 1\n76686659 1\n23552775 1\n690698624 1\n637564740 1\n584430856 1\n531296972 1\n478163088 1\n425029204 1\n371895320 1\n318761436 1\n265627552 1\n212493668 1\n159359784 1\n106225900 1\n53092016 1\n720237865 1\n667103981 1\n613970097 1\n560836213 1\n507702329 1\n454568445 1\n401434561 1\n348300677 1\n295166793 1\n242032909 1\n188899025 1\n135765141 1\n82631257 1\n29497373 1\n696643222 1\n643509338 1\n590375454 1\n537241570 1\n484107686 1\n430973802 1\n377839918 1\n324706034 1\n271572150 1\n218438266 1\n165304382 1\n112170498 1\n59036614 1\n5902730 1\n673048579 1\n619914695 1\n566780811 1\n513646927 1\n460513043 1\n407379159 1\n354245275 1\n301111391 1\n247977507 1\n194843623 1\n141709739 1\n88575855 1\n35441971 1\n702587820 1\n649453936 1\n596320052 1\n543186168 1\n490052284 1\n436918400 1\n383784516 1\n330650632 1\n277516748 1\n224382864 1\n171248980 1\n118115096 1\n64981212 1\n11847328 1\n678993177 1\n625859293 1\n572725409 1\n519591525 1\n466457641 1\n413323757 1\n360189873 1\n307055989 1\n253922105 1\n200788221 1\n147654337 1\n94520453 1\n41386569 1\n708532418 1\n655398534 1\n602264650 1\n549130766 1\n495996882 1\n442862998 1\n389729114 1\n336595230 1\n283461346 1\n230327462 1\n177193578 1\n124059694 1\n70925810 1\n17791926 1\n684937775 1\n631803891 1\n578670007 1\n525536123 1\n472402239 1\n419268355 1\n366134471 1\n313000587 1\n259866703 1\n206732819 1\n153598935 1\n100465051 1\n47331167 1\n714477016 1\n661343132 1\n608209248 1\n555075364 1\n501941480 1\n448807596 1\n395673712 1\n342539828 1\n289405944 1\n236272060 1\n183138176 1\n130004292 1\n76870408 1\n23736524 1\n690882373 1\n637748489 1\n584614605 1\n531480721 1\n478346837 1\n425212953 1\n372079069 1\n318945185 1\n265811301 1\n212677417 1\n159543533 1\n106409649 1\n53275765 1\n141881 1\n667287730 1\n614153846 1\n561019962 1\n507886078 1\n454752194 1\n401618310 1\n348484426 1\n295350542 1\n242216658 1\n189082774 1\n135948890 1\n82815006 1\n29681122 1\n696826971 1\n643693087 1\n590559203 1\n537425319 1\n484291435 1\n431157551 1\n378023667 1\n324889783 1\n271755899 1\n218622015 1\n165488131 1\n112354247 1\n59220363 1\n" } } ]
{ "tags": [ "greedy" ], "title": "Beaver's Calculator 1.0" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\npair<pair<int, int>, int> ans[200005];\nint main() {\n int n, mx = 0, cur = 0;\n scanf(\"%d\", &n);\n for (int i = 0; i < n; i++) {\n int k, c, x, y, m, cnt = 0;\n scanf(\"%d%d%d%d%d\", &k, &c, &x, &y, &m);\n while (k--) {\n if (cur <= 200000) ans[cur++] = make_pair(make_pair(cnt, c), i);\n long long b = ((long long)c * x + y) % m;\n if (b < c && k) cnt++;\n mx = max(mx, cnt);\n c = b;\n }\n }\n printf(\"%d\\n\", mx);\n if (cur <= 200000) {\n sort(ans, ans + cur);\n for (int i = 0; i < cur; i++)\n printf(\"%d %d\\n\", ans[i].first.second, ans[i].second + 1);\n }\n return 0;\n}\n", "java": "import java.util.PriorityQueue;\nimport java.util.Scanner;\n\n\npublic class A {\n\tpublic static void main(String[] args) {\n\t\tScanner in = new Scanner(System.in);\n\t\tint n = in.nextInt();\n\t\tint totalProblems=0;\n\t\tPriorityQueue<Problems> workingSet;\n\t\tPriorityQueue<Problems> nextSet = new PriorityQueue<Problems>();\n\t\tPriorityQueue<Problems> emptySet = new PriorityQueue<Problems>();\n\t\tfor(int i=0;i<n;i++) {\n\t\t\tProblems t = new Problems(i+1,in.nextInt(),in.nextInt(),in.nextInt(),in.nextInt(),in.nextInt());\n\t\t\ttotalProblems+=t.k;\n\t\t\tnextSet.add(t);\n\t\t}\n\t\tint badSets = -1;\n\t\twhile(!nextSet.isEmpty()) {\n\t\t\tbadSets++;\n\t\t\tworkingSet = nextSet;\n\t\t\tnextSet = new PriorityQueue<Problems>();\n\t\t\twhile(!workingSet.isEmpty()) {\n\t\t\t\tProblems p = workingSet.remove();\n\t\t\t\tint ta = p.a;\n//\t\t\t\tSystem.out.println(p.a+\" \"+p.i);\n\t\t\t\tif(p.nextProblem()==0)\n\t\t\t\t\temptySet.add(p);\n\t\t\t\telse if(p.a<ta)\n\t\t\t\t\tnextSet.add(p);\n\t\t\t\telse\n\t\t\t\t\tworkingSet.add(p);\n\t\t\t}\n\t\t}\n\t\tSystem.out.println(badSets);\n\t\tif(totalProblems>200000)\n\t\t\treturn;\n\t\twhile(!emptySet.isEmpty()) {\n\t\t\tProblems p = emptySet.remove();\n\t\t\tp.k = p.k1;\n\t\t\tp.a = p.a1;\n\t\t\tnextSet.add(p);\n\t\t}\n\t\twhile(!nextSet.isEmpty()) {\n//\t\t\tbadSets++;\n\t\t\tworkingSet = nextSet;\n\t\t\tnextSet = new PriorityQueue<Problems>();\n\t\t\twhile(!workingSet.isEmpty()) {\n\t\t\t\tProblems p = workingSet.remove();\n\t\t\t\tint ta = p.a;\n\t\t\t\tSystem.out.println(p.a+\" \"+p.i);\n\t\t\t\tif(p.nextProblem()==0)\n\t\t\t\t\temptySet.add(p);\n\t\t\t\telse if(p.a<ta)\n\t\t\t\t\tnextSet.add(p);\n\t\t\t\telse\n\t\t\t\t\tworkingSet.add(p);\n\t\t\t}\n\t\t}\n\t}\n\tpublic static class Problems implements Comparable<Problems> {\n\t\tint i,k,a,y,m;\n\t\tlong x;\n\t\tint k1,a1;\n\t\tpublic Problems(int ti,int tk,int ta,long tx,int ty,int tm) {\n\t\t\ti = ti;\n\t\t\tk = tk;\n\t\t\ta = ta;\n\t\t\tx = tx;\n\t\t\ty = ty;\n\t\t\tm = tm;\n\t\t\tk1 = k;\n\t\t\ta1 = a;\n\t\t}\n\t\tpublic int nextProblem() {\n\t\t\ta = (int) ((a*x+y)%m);\n\t\t\tk--;\n\t\t\treturn k;\n\t\t}\n\t\tpublic int compareTo(Problems other) {\n\t\t\treturn a-other.a;\n\t\t}\n\t}\n}\n", "python": null }
Codeforces/230/A
# Dragons Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s. If Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi. Kirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss. Input The first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it. Output On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't. Examples Input 2 2 1 99 100 0 Output YES Input 10 1 100 100 Output NO Note In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level. In the second sample Kirito's strength is too small to defeat the only dragon and win.
[ { "input": { "stdin": "2 2\n1 99\n100 0\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "10 1\n100 100\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "10 1\n10 10\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "4 2\n2 1\n10 3\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "2 5\n5 1\n2 1\n3 1\n1 1\n4 1\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "1 2\n100 1\n100 1\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "2 3\n1 1\n1 10\n17 2\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "10 10\n2 10\n3 10\n4 10\n2 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "6 2\n496 0\n28 8128\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "50 3\n39 0\n38 0\n37 0\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "10 1\n1 1\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "2 2\n3 5\n1 2\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "999 2\n1010 10\n67 89\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "123 2\n78 10\n130 0\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "2 2\n1 98\n100 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "4 1\n100 1000\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 2\n1 0\n1 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 1636\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "2 5\n1 1\n2 1\n3 1\n4 1\n5 1\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "10 3\n12 0\n13 0\n14 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "5 1\n6 7\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "5 10\n20 1\n4 3\n5 1\n100 1\n4 2\n101 1\n10 0\n10 2\n17 3\n12 84\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n4 2\n9 0\n6 1\n7 0\n7 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "5 3\n13 20\n3 10\n15 5\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "11 2\n22 0\n33 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "100 5\n99 100\n199 1\n199 1\n199 1\n202 1\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "10 4\n20 1\n3 5\n2 4\n1 3\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "1 3\n1 10\n1 11\n1 9\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 1\n10000 1\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "14 3\n1 5\n1 6\n1 7\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "3 3\n1 1\n1 2\n4 0\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n38 10\n57 8\n48 6\n17 9\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "2 2\n1 2\n3 5\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "14 3\n1 5\n2 6\n1 7\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "10 1\n1 2\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "123 2\n78 10\n130 1\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "4 1\n100 1001\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 0\n7 0\n7 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "5 3\n13 20\n6 10\n15 8\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "11 1\n2 2\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "10 1\n10 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 6\n17 9\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 2\n100 1\n101 1\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "3 3\n1 1\n2 2\n4 0\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "2 3\n1 1\n1 10\n24 2\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "10 4\n40 1\n3 7\n2 4\n1 3\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "2 2\n1 53\n101 0\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "10 4\n20 1\n3 7\n2 4\n1 3\n" }, "output": { "stdout": "YES\n" } }, { "input": { "stdin": "1 1\n10010 1\n" }, "output": { "stdout": "NO\n" } } ]
{ "tags": [ "greedy", "sortings" ], "title": "Dragons" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\ninline int read() {\n register int x = 0, t = 0;\n register char c = getchar();\n for (; c < '0' || c > '9'; t |= c == '-', c = getchar())\n ;\n for (; c >= '0' && c <= '9';\n x = (x << 3) + (x << 1) + (c ^ 48), c = getchar())\n ;\n return t ? -x : x;\n}\nstruct dragon {\n int x, y;\n bool operator<(dragon k) const { return x < k.x; }\n} a[1000];\nint m, n;\nint main() {\n m = read();\n n = read();\n for (register int i = 0; i < n; ++i) a[i].x = read(), a[i].y = read();\n sort(a, a + n);\n for (register int i = 0; i < n; ++i) {\n if (m <= a[i].x) {\n puts(\"NO\");\n return 0;\n }\n m += a[i].y;\n }\n puts(\"YES\");\n}\n", "java": "import java.util.Scanner;\n\n\npublic class Solution {\n public static void main(String[] args) {\n Scanner sc = new Scanner(System.in);\n int s = sc.nextInt();\n int n = sc.nextInt();\n int[] dragonPower = new int[n];\n int[] bonusPower = new int[n];\n int count = 0;\n for(int i = 0; i < n; i++){\n dragonPower[i] = sc.nextInt();\n bonusPower[i] = sc.nextInt();\n }\n for(int i = 0; i < n; i++){\n for(int j = 0; j < n; j++){\n if(s > dragonPower[j]){\n s = s + bonusPower[j];\n dragonPower[j] = 2147483647;\n count++;\n break;\n }\n }\n }\n if(count == n){\n System.out.println(\"YES\");\n } else {\n System.out.println(\"NO\");\n }\n }\n}", "python": "s,n=map(int,input().split())\nflag=True\nl=[]\nfor _ in range(n):\n x,y=map(int,input().split())\n l.append([x,y])\n \nl=sorted(l)\nfor i in range(n):\n if(s>l[i][0]):\n s+=l[i][1]\n else:\n flag=False\n break\n \nif(flag):\n print(\"YES\")\nelse:\n print(\"NO\")" }
Codeforces/255/E
# Furlo and Rublo and Game Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to: * choose some pile, let's denote the current number of coins in it as x; * choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) and decrease the number of coins in this pile to y. In other words, after the described move the pile will have y coins left. The player who can't make a move, loses. Your task is to find out, who wins in the given game if both Furlo and Rublo play optimally well. Input The first line contains integer n (1 ≤ n ≤ 77777) — the number of piles. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 777777777777) — the sizes of piles. The numbers are separated by single spaces. Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier. Output If both players play optimally well and Furlo wins, print "Furlo", otherwise print "Rublo". Print the answers without the quotes. Examples Input 1 1 Output Rublo Input 2 1 2 Output Rublo Input 10 1 2 3 4 5 6 7 8 9 10 Output Furlo
[ { "input": { "stdin": "10\n1 2 3 4 5 6 7 8 9 10\n" }, "output": { "stdout": "Furlo\n" } }, { "input": { "stdin": "1\n1\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "2\n1 2\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "3\n2500000000 3000000000 1000\n" }, "output": { "stdout": "Furlo\n" } }, { "input": { "stdin": "40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 448128137 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "2\n50626 300000\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "5\n1000000000 100000000 10000000 1000000 100000\n" }, "output": { "stdout": "Furlo\n" } }, { "input": { "stdin": "2\n2562991876 16\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 430837844 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "3\n10 100 10000\n" }, "output": { "stdout": "Furlo\n" } }, { "input": { "stdin": "2\n100 777777777777\n" }, "output": { "stdout": "Furlo\n" } }, { "input": { "stdin": "4\n2 3 9 10\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "2\n2500000000 3000000000\n" }, "output": { "stdout": "Furlo\n" } }, { "input": { "stdin": "3\n10 10000 100000000000\n" }, "output": { "stdout": "Rublo\n" } }, { "input": { "stdin": "3\n2 3 10\n" }, "output": { "stdout": "Furlo\n" } }, { "input": { "stdin": "2\n2212954546 31\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n1831967450 31\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "3\n4 4 5\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "5\n1000000000 100000000 10000010 1000000 100010\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "1\n4\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "4\n2 3 2 10\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n3278738 31\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "10\n1 1 5 4 7 3 2 8 9 10\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "3\n2500000000 4627996199 1001\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "3\n13 10001 100001000000\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "3\n4 2 15\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 358406779 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "2\n3278738 58\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "3\n480483433 7241518991 1011\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n6352485103 650939923\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n011 777777777777\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n73625 22126\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "3\n923135682 12194846381 1011\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n106418 22126\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n2562991876 31\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "5\n1000001000 100000000 10000000 1000000 100000\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "5\n1000001000 100000000 10000010 1000000 100010\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "3\n480483433 4627996199 1001\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "3\n11 10000 100000000000\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "5\n1000001000 100000000 10000010 1000000 100000\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "2\n3 3\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "3\n4 2 5\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "2\n10543927250 344611455\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "3\n44 10001 100001000000\n" }, "output": { "stdout": "Furlo" } }, { "input": { "stdin": "10\n1 2 3 4 5 6 2 8 9 10\n" }, "output": { "stdout": "Rublo" } }, { "input": { "stdin": "50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n" }, "output": { "stdout": "Rublo" } } ]
{ "tags": [ "games", "implementation", "math" ], "title": "Furlo and Rublo and Game" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int n;\n cin >> n;\n long long res = 0;\n for (int i = 0; i < n; i++) {\n long long x;\n cin >> x;\n if (x >= 4 && x <= 15) {\n res ^= 1;\n } else if (x >= 16 && x <= 81) {\n res ^= 2;\n } else if (x >= 6724 && x <= 50625) {\n res ^= 3;\n } else if (x >= 50626 && x <= 2562991875LL) {\n res ^= 1;\n } else if (x >= 2562991876LL) {\n res ^= 2;\n }\n }\n if (res == 0)\n cout << \"Rublo\\n\";\n else\n cout << \"Furlo\\n\";\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\nimport static java.lang.Math.*;\n\npublic class Main {\n FastScanner in;\n PrintWriter out;\n\n static final String FILE = \"\";\n\n int n;\n\n Map<Long, Integer> map = new TreeMap<>();\n int[][] sum;\n int[] ms;\n\n int gsum(int v, int a, int b) {\n return sum[v][b] - (a > 0 ? sum[v][a - 1] : 0);\n }\n\n int xor(long v) {\n if (v < 1_000_000)\n return ms[(int) v];\n long l = (long) sqrt(sqrt(v));\n while (l * l * l * l < v)\n l++;\n long r = (int) sqrt(v);\n while (r * r > v || r >= v)\n r--;\n int ans = 0;\n while (gsum(ans, (int) l, (int) r) > 0)\n ans++;\n return ans;\n }\n\n void solve() {\n List<Integer> val = Arrays.asList(0, 1, 2, 0, 3, 1);\n List<Integer> len = Arrays.asList(4, 12, 66, 6642, 43902, 949374);\n sum = new int[5][1_000_000];\n ms = new int[1_000_000];\n int cur = 0;\n for (int i = 0; i < len.size(); i++) {\n for (int z = 0; z < len.get(i); z++) {\n sum[val.get(i)][cur]++;\n ms[cur++] = val.get(i);\n }\n }\n for (int i = 0; i < 5; i++) {\n for (int z = 1; z < 1_000_000; z++) {\n sum[i][z] += sum[i][z - 1];\n }\n }\n\n n = in.nextInt();\n long sum = 0;\n for (int i = 0; i < n; i++)\n sum ^= xor(in.nextLong());\n out.print(sum == 0 ? \"Rublo\" : \"Furlo\");\n }\n\n public void run() {\n if (FILE.equals(\"\")) {\n in = new FastScanner(System.in);\n out = new PrintWriter(System.out);\n } else {\n try {\n in = new FastScanner(new FileInputStream(FILE +\n \".in\"));\n out = new PrintWriter(new FileOutputStream(FILE +\n \".out\"));\n } catch (FileNotFoundException e) {\n e.printStackTrace();\n }\n }\n solve();\n out.close();\n }\n\n public static void main(String[] args) {\n (new Main()).run();\n }\n\n class FastScanner {\n BufferedReader br;\n StringTokenizer st;\n\n public FastScanner(InputStream is) {\n br = new BufferedReader(new InputStreamReader(is));\n }\n\n public String next() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(br.readLine());\n } catch (IOException e) {\n e.printStackTrace();\n }\n }\n return st.nextToken();\n }\n\n public String nextLine() {\n st = null;\n try {\n return br.readLine();\n } catch (IOException e) {\n return null;\n }\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n public long nextLong() {\n return Long.parseLong(next());\n }\n\n public double nextDouble() {\n return Double.parseDouble(next());\n }\n\n public float nextFloat() {\n return Float.parseFloat(next());\n }\n }\n\n}", "python": "#!/usr/bin/python\nimport bisect\na = [0,4,16,82,6724,15**4+1,15**8+1]\nb = [0,1,2,0,3,1,2]\ndef sg(x) :\n\ti = bisect.bisect_right(a,x)\n\treturn b[i-1]\nn = input()\nnum = map(int,raw_input().split())\nans = 0\nfor x in num:\n\tans ^= sg(x)\nif ans :\n\tprint \"Furlo\"\nelse :\n\tprint \"Rublo\"\n" }
Codeforces/279/E
# Beautiful Decomposition Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible. Help Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands. Input The first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0). Output Print a single integer — the minimum amount of beautiful numbers that give a total of n. Examples Input 10 Output 1 Input 111 Output 2 Input 1101101 Output 4 Note In the first sample n = 2 is a beautiful number. In the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20). In the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20.
[ { "input": { "stdin": "1101101\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "10\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "111\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\n" }, "output": { "stdout": "29\n" } }, { "input": { "stdin": "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "110\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "110110011010110101101010111010010010101001001010000110111111000100\n" }, "output": { "stdout": "24\n" } }, { "input": { "stdin": "1010111\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1011101\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\n" }, "output": { "stdout": "32\n" } }, { "input": { "stdin": "1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n" }, "output": { "stdout": "250\n" } }, { "input": { "stdin": "10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n" }, "output": { "stdout": "167\n" } }, { "input": { "stdin": "10110100101\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "1100\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1011001\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\n" }, "output": { "stdout": "119\n" } }, { "input": { "stdin": "111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\n" }, "output": { "stdout": "34\n" } }, { "input": { "stdin": "10101010101010101010101010101010101010101010101010\n" }, "output": { "stdout": "25\n" } }, { "input": { "stdin": "110100\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1111111111\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "11\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "11110010111010111000000111010101011100001100100100110100101110011111001100010\n" }, "output": { "stdout": "28\n" } }, { "input": { "stdin": "11010\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "100\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1111011111\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "111100\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1101011\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1111110\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "110110001010110101101010111000010000101001001010000110111111000100\n" }, "output": { "stdout": "22\n" } }, { "input": { "stdin": "11100010111010111000000111010101011100011100100100110100111110011111001100010\n" }, "output": { "stdout": "27\n" } }, { "input": { "stdin": "1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "111110\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n" }, "output": { "stdout": "165\n" } }, { "input": { "stdin": "1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\n" }, "output": { "stdout": "35\n" } }, { "input": { "stdin": "1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n" }, "output": { "stdout": "34\n" } }, { "input": { "stdin": "10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n" }, "output": { "stdout": "166\n" } }, { "input": { "stdin": "1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n" }, "output": { "stdout": "34\n" } }, { "input": { "stdin": "1000010\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n" }, "output": { "stdout": "248\n" } }, { "input": { "stdin": "101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n" }, "output": { "stdout": "120\n" } }, { "input": { "stdin": "1111001\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n" }, "output": { "stdout": "166\n" } }, { "input": { "stdin": "1101111\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\n" }, "output": { "stdout": "28\n" } }, { "input": { "stdin": "1101110\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\n" }, "output": { "stdout": "50\n" } } ]
{ "tags": [ "dp", "games", "greedy", "number theory" ], "title": "Beautiful Decomposition" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = 1000005;\nchar s[N];\nint main() {\n scanf(\"%s\", s);\n int ans = 0;\n int i;\n for (i = strlen(s) - 1; i >= 0; --i) {\n if (s[i] == '0') continue;\n ans++;\n if (i == 0 || s[i - 1] == '0') continue;\n while (--i >= 0 && s[i] == '1')\n ;\n if (i >= 0)\n s[i++] = '1';\n else\n ans++;\n }\n printf(\"%d\", ans);\n return 0;\n}\n", "java": "\n\nimport java.io.BufferedInputStream;\nimport java.util.*;\nimport static java.lang.Math.*;\n\npublic class C279E {\n\n\tpublic void solve() throws Exception {\n\t\tString s = nextWord();\n\t\tint[] arr = new int[2];\n\t\tarr[0] = 1;\n\t\tarr[1] = 0;\n\t\tfor (char c : s.toCharArray()) {\n\t\t\tarr[c - '0'] = min(arr[0], arr[1]) + 1;\n\t\t}\n\t\tprintln(arr[1]);\n\t}\n\n\t// ------------------------------------------------------\n\n\tvoid debug(Object... os) {\n\t\tSystem.err.println(Arrays.deepToString(os));\n\t}\n\n\tvoid print(Object... os) {\n\t\tif (os != null && os.length > 0)\n\t\t\tSystem.out.print(os[0].toString());\n\t\tfor (int i = 1; i < os.length; ++i)\n\t\t\tSystem.out.print(\" \" + os[i].toString());\n\t}\n\n\tvoid println(Object... os) {\n\t\tprint(os);\n\t\tSystem.out.println();\n\t}\n\n\tBufferedInputStream bis = new BufferedInputStream(System.in);\n\n\tString nextWord() throws Exception {\n\t\tchar c = (char) bis.read();\n\t\twhile (c <= ' ')\n\t\t\tc = (char) bis.read();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile (c > ' ') {\n\t\t\tsb.append(c);\n\t\t\tc = (char) bis.read();\n\t\t}\n\t\treturn new String(sb);\n\t}\n\n\tString nextLine() throws Exception {\n\t\tchar c = (char) bis.read();\n\t\twhile (c <= ' ')\n\t\t\tc = (char) bis.read();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile (c != '\\n' && c != '\\r') {\n\t\t\tsb.append(c);\n\t\t\tc = (char) bis.read();\n\t\t}\n\t\treturn new String(sb);\n\t}\n\n\tint nextInt() throws Exception {\n\t\treturn Integer.parseInt(nextWord());\n\t}\n\n\tlong nextLong() throws Exception {\n\t\treturn Long.parseLong(nextWord());\n\t}\n\t\n\tpublic static void main(String[] args) throws Exception {\n\t\tnew C279E().solve();\n\t}\n}\n", "python": "x = 0\ny = 1\nfor c in raw_input():\n\tif c == '0':\n\t\tx, y = min(x, y + 1), min(x, y) + 1\n\telse:\n\t\tx, y = min(x, y) + 1, min(x + 1, y)\nprint min(x, y + 1)" }
Codeforces/301/D
# Yaroslav and Divisors Yaroslav has an array p = p1, p2, ..., pn (1 ≤ pi ≤ n), consisting of n distinct integers. Also, he has m queries: * Query number i is represented as a pair of integers li, ri (1 ≤ li ≤ ri ≤ n). * The answer to the query li, ri is the number of pairs of integers q, w (li ≤ q, w ≤ ri) such that pq is the divisor of pw. Help Yaroslav, answer all his queries. Input The first line contains the integers n and m (1 ≤ n, m ≤ 2·105). The second line contains n distinct integers p1, p2, ..., pn (1 ≤ pi ≤ n). The following m lines contain Yaroslav's queries. The i-th line contains integers li, ri (1 ≤ li ≤ ri ≤ n). Output Print m integers — the answers to Yaroslav's queries in the order they appear in the input. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier. Examples Input 1 1 1 1 1 Output 1 Input 10 9 1 2 3 4 5 6 7 8 9 10 1 10 2 9 3 8 4 7 5 6 2 2 9 10 5 10 4 10 Output 27 14 8 4 2 1 2 7 9
[ { "input": { "stdin": "1 1\n1\n1 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10 9\n1 2 3 4 5 6 7 8 9 10\n1 10\n2 9\n3 8\n4 7\n5 6\n2 2\n9 10\n5 10\n4 10\n" }, "output": { "stdout": "27\n14\n8\n4\n2\n1\n2\n7\n9\n" } }, { "input": { "stdin": "8 8\n1 2 3 4 5 6 7 8\n5 6\n4 8\n3 8\n2 4\n3 5\n5 7\n4 4\n4 8\n" }, "output": { "stdout": "2\n6\n8\n4\n3\n3\n1\n6\n" } }, { "input": { "stdin": "3 3\n1 2 3\n1 1\n2 3\n1 1\n" }, "output": { "stdout": "1\n2\n1\n" } }, { "input": { "stdin": "3 3\n3 2 1\n1 3\n1 3\n1 3\n" }, "output": { "stdout": "5\n5\n5\n" } }, { "input": { "stdin": "4 4\n4 2 3 1\n3 4\n1 4\n1 2\n4 4\n" }, "output": { "stdout": "3\n8\n3\n1\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n1 5\n1 5\n" }, "output": { "stdout": "10\n10\n3\n10\n10\n" } }, { "input": { "stdin": "10 10\n1 2 3 4 5 6 7 8 9 10\n4 8\n5 10\n1 10\n9 10\n1 2\n4 8\n3 5\n3 7\n3 8\n5 9\n" }, "output": { "stdout": "6\n7\n27\n2\n3\n6\n3\n6\n8\n5\n" } }, { "input": { "stdin": "2 2\n1 2\n1 2\n2 2\n" }, "output": { "stdout": "3\n1\n" } }, { "input": { "stdin": "9 9\n1 2 3 4 5 6 7 8 9\n1 9\n1 1\n4 5\n1 7\n2 3\n3 5\n1 7\n6 8\n1 1\n" }, "output": { "stdout": "23\n1\n2\n16\n2\n3\n16\n3\n1\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n1 3\n1 4\n1 6\n3 4\n1 3\n" }, "output": { "stdout": "5\n5\n8\n14\n2\n5\n" } }, { "input": { "stdin": "7 7\n1 2 3 4 5 6 7\n1 7\n1 7\n1 7\n1 7\n1 7\n1 7\n1 1\n" }, "output": { "stdout": "16\n16\n16\n16\n16\n16\n1\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n2 4\n1 4\n1 6\n3 4\n1 3\n" }, "output": { "stdout": "5\n4\n8\n14\n2\n5\n" } }, { "input": { "stdin": "3 3\n3 2 1\n1 3\n2 3\n1 3\n" }, "output": { "stdout": "5\n3\n5\n" } }, { "input": { "stdin": "2 2\n1 2\n2 2\n2 2\n" }, "output": { "stdout": "1\n1\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n2 5\n1 3\n2 5\n1 5\n" }, "output": { "stdout": "1\n5\n5\n5\n10\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 2\n1 6\n3 4\n1 4\n" }, "output": { "stdout": "5\n2\n3\n14\n2\n8\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n2 2\n1 2\n1 5\n1 5\n" }, "output": { "stdout": "1\n1\n3\n10\n10\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n4 5\n1 4\n2 5\n3 5\n" }, "output": { "stdout": "1\n2\n8\n5\n3\n" } }, { "input": { "stdin": "3 3\n1 2 3\n1 1\n2 3\n1 2\n" }, "output": { "stdout": "1\n2\n3\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n1 3\n2 4\n1 6\n3 4\n1 3\n" }, "output": { "stdout": "5\n5\n4\n14\n2\n5\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n2 5\n1 3\n4 5\n1 5\n" }, "output": { "stdout": "1\n5\n5\n2\n10\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n3 4\n1 4\n" }, "output": { "stdout": "5\n2\n8\n14\n2\n8\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n2 5\n1 2\n" }, "output": { "stdout": "10\n5\n3\n5\n3\n" } }, { "input": { "stdin": "4 4\n4 2 3 1\n3 4\n1 4\n1 2\n1 4\n" }, "output": { "stdout": "3\n8\n3\n8\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n2 2\n1 2\n2 5\n1 5\n" }, "output": { "stdout": "1\n1\n3\n5\n10\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n1 5\n1 1\n" }, "output": { "stdout": "10\n10\n3\n10\n1\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n2 5\n1 2\n2 5\n1 5\n" }, "output": { "stdout": "1\n5\n3\n5\n10\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n2 2\n1 4\n1 5\n1 5\n" }, "output": { "stdout": "1\n1\n8\n10\n10\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n2 5\n1 5\n" }, "output": { "stdout": "10\n5\n3\n5\n10\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n1 5\n1 5\n" }, "output": { "stdout": "10\n5\n3\n10\n10\n" } }, { "input": { "stdin": "3 3\n3 2 1\n1 1\n1 3\n2 2\n" }, "output": { "stdout": "1\n5\n1\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n4 5\n1 3\n4 5\n1 5\n" }, "output": { "stdout": "1\n2\n5\n2\n10\n" } }, { "input": { "stdin": "3 3\n1 2 3\n1 1\n1 3\n1 1\n" }, "output": { "stdout": "1\n5\n1\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n2 5\n1 3\n" }, "output": { "stdout": "10\n10\n3\n5\n5\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n2 5\n" }, "output": { "stdout": "1\n2\n3\n5\n5\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n2 5\n1 2\n2 5\n2 5\n" }, "output": { "stdout": "1\n5\n3\n5\n5\n" } }, { "input": { "stdin": "3 3\n3 2 1\n1 3\n1 3\n2 3\n" }, "output": { "stdout": "5\n5\n3\n" } }, { "input": { "stdin": "8 8\n1 2 3 4 5 6 7 8\n5 6\n7 8\n3 8\n2 4\n3 5\n5 7\n4 4\n4 8\n" }, "output": { "stdout": "2\n2\n8\n4\n3\n3\n1\n6\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n2 5\n1 5\n1 2\n2 5\n1 3\n" }, "output": { "stdout": "5\n10\n3\n5\n5\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n3 3\n1 4\n1 6\n3 4\n1 4\n" }, "output": { "stdout": "5\n1\n8\n14\n2\n8\n" } }, { "input": { "stdin": "2 2\n1 2\n1 2\n1 2\n" }, "output": { "stdout": "3\n3\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n3 4\n1 3\n" }, "output": { "stdout": "5\n2\n8\n14\n2\n5\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n3 5\n" }, "output": { "stdout": "1\n2\n3\n5\n3\n" } }, { "input": { "stdin": "6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n2 4\n1 3\n" }, "output": { "stdout": "5\n2\n8\n14\n4\n5\n" } }, { "input": { "stdin": "3 3\n3 2 1\n1 1\n1 3\n2 3\n" }, "output": { "stdout": "1\n5\n3\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n2 5\n1 5\n" }, "output": { "stdout": "10\n10\n3\n5\n10\n" } }, { "input": { "stdin": "5 5\n1 2 3 4 5\n1 5\n1 5\n1 4\n2 5\n1 5\n" }, "output": { "stdout": "10\n10\n8\n5\n10\n" } }, { "input": { "stdin": "2 2\n1 2\n1 2\n1 1\n" }, "output": { "stdout": "3\n1\n" } }, { "input": { "stdin": "2 2\n2 1\n2 2\n2 2\n" }, "output": { "stdout": "1\n1\n" } } ]
{ "tags": [ "data structures" ], "title": "Yaroslav and Divisors" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nsigned long long int bit[200000 + 5];\nsigned long long int read(int idx) {\n signed long long int sum = 0;\n if (idx == 0) return 0;\n while (idx > 0) {\n sum += bit[idx];\n idx -= (idx & -idx);\n }\n return sum;\n}\nvoid update(int idx, int val) {\n while (idx <= 200000) {\n bit[idx] += val;\n idx += (idx & -idx);\n }\n}\nvector<pair<int, int> > Q[200000 + 5];\nint where[200000 + 5];\nvector<int> good[200000 + 5];\nsigned long long int ans[200000 + 5];\nint main() {\n int N, q, x, L, R;\n cin >> N >> q;\n for (int i = 1; i <= N; ++i) {\n scanf(\"%d\", &x);\n where[x] = i;\n }\n for (int i = 1; i <= N; ++i) {\n for (int j = i; j <= N; j += i) {\n if (where[j] < where[i]) {\n good[where[i]].push_back(where[j]);\n } else {\n good[where[j]].push_back(where[i]);\n }\n }\n }\n for (int i = 1; i <= q; ++i) {\n scanf(\"%d\", &L);\n scanf(\"%d\", &R);\n Q[R].push_back(make_pair(L, i));\n }\n for (int i = 1; i <= N; ++i) {\n for (int j = 0; j < good[i].size(); ++j) {\n update(good[i][j], 1);\n }\n for (int j = 0; j < Q[i].size(); ++j) {\n ans[Q[i][j].second] = read(N) - read(Q[i][j].first - 1);\n }\n }\n for (int i = 1; i <= q; ++i) {\n printf(\"%lld\\n\", ans[i]);\n }\n}\n", "java": "import java.io.*;\nimport java.util.*;\nimport java.util.stream.Collectors;\nimport java.util.stream.IntStream;\nimport java.util.stream.Stream;\n\npublic class Main implements Runnable {\n static final int MOD = (int) 1e9 + 7;\n static final int MI = (int) 1e9;\n static final long ML = (long) 1e18;\n static final Reader in = new Reader();\n static final PrintWriter out = new PrintWriter(System.out);\n StringBuilder answer = new StringBuilder();\n\n public static void main(String[] args) {\n new Thread(null, new Main(), \"persefone\", 1 << 32).start();\n }\n\n @Override\n public void run() {\n try {\n solve();\n } catch (IOException e) {}\n printf();\n flush();\n }\n\n void solve() throws IOException {\n int n = in.nextInt();\n int m = in.nextInt();\n int[] a = new int[n];\n for (int i = 0; i < n; i++) {\n a[i] = in.nextInt();\n }\n int[] pos = new int[n + 1];\n for (int i = 0; i < n; i++) {\n pos[a[i]] = i + 1;\n }\n int[][] query = new int[m][3];\n for (int i = 0; i < m; i++) {\n query[i] = new int[] {i, in.nextInt(), in.nextInt()};\n }\n Arrays.sort(query, (q1, q2) -> q1[2] - q2[2]);\n int[] next = new int[n + 1];\n int j = 1;\n for (int i = 0; i < m; i++) {\n while (j <= query[i][2]) {\n next[j++] = query[i][2];\n }\n }\n\n List<Integer>[] map = new ArrayList[n + 1];\n for (int i = 1; i <= n; i++) map[i] = new ArrayList<>();\n for (int i = 1; i <= n; i++) {\n for (j = i; j <= n; j += i) {\n int min = pos[i];\n int max = pos[j];\n if (min > max) {\n int tmp = min;\n min = max;\n max = tmp;\n }\n map[next[max]].add(min);\n }\n }\n boolean[] check = new boolean[n + 1];\n int[] sum = new int[n + 1];\n int[] ans = new int[m];\n for (int i = 0; i < m; i++) {\n j = next[query[i][2]];\n if (!check[j]) {\n check[j] = true;\n for (int k : map[j]) {\n for (int t = k; t <= n; t += t & -t) {\n sum[t]++;\n }\n }\n }\n int res = 0;\n for (int t = j; t > 0; t -= t & -t) {\n res += sum[t];\n }\n for (int t = query[i][1] - 1; t > 0; t -= t & -t) {\n res -= sum[t];\n }\n ans[query[i][0]] = res;\n }\n for (int res : ans) printf(res);\n\n }\n\n static class FenwickSum {\n private int n;\n private int[] sum;\n\n public FenwickSum(int n) {\n this.n = n + 10;\n this.sum = new int[n + 10];\n }\n\n public void update(int i, int v) {\n for (; i < n; i += i & -i) {\n sum[i] += v;\n }\n }\n\n public int sum(int i) {\n int res = 0;\n for (; i > 0; i -= i & -i) {\n res += sum[i];\n }\n return res;\n }\n\n public int sum(int i, int j) {\n return sum(j) - sum(i - 1);\n }\n }\n\n static class SegmentTreeMax {\n private int n;\n private int[] max;\n\n public SegmentTreeMax(int n) {\n this.n = n;\n this.max = new int[4 * n + 4];\n Arrays.fill(max, -1);\n }\n\n int calc(int x, int y) {\n return Math.max(x, y);\n }\n\n public void update(int currentVertex, int currentLeft, int currentRight, int pos, int value) {\n if (currentLeft == currentRight) max[currentVertex] = value;\n else {\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n if (pos <= mid)\n update(doubleVex, currentLeft, mid, pos, value);\n else\n update(doubleVex + 1, mid + 1, currentRight, pos, value);\n max[currentVertex] = calc(max[doubleVex], max[doubleVex + 1]);\n }\n }\n\n public void update(int pos, int value) {\n update(1, 0, n - 1, pos, value);\n }\n\n public int getFirst(int currentVertex, int currentLeft, int currentRight, int left, int right, int k) {\n if (currentLeft > right || currentRight < left || max[currentVertex] <= k) return -1;\n if (currentLeft == currentRight) return currentLeft;\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n int ans = getFirst(doubleVex, currentLeft, mid, left, right, k);\n if (ans >= 0) {\n return ans;\n }\n return getFirst(doubleVex + 1, mid + 1, currentRight, left, right, k);\n }\n\n public int getFirst(int left, int right, int k) {\n return getFirst(1, 0, n - 1, left, right, k);\n }\n }\n\n\n static class SegmentTreeSum {\n private int n;\n private int[] a, sum;\n\n public SegmentTreeSum(int[] a, int n) {\n this.n = n;\n this.a = a;\n this.sum = new int[4 * n + 4];\n build(1, 0, n - 1);\n }\n\n public void build(int currentVertex, int currentLeft, int currentRight) {\n if (currentLeft == currentRight) sum[currentVertex] = a[currentLeft];\n else {\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n build(doubleVex, currentLeft, mid);\n build(doubleVex + 1, mid + 1, currentRight);\n sum[currentVertex] = sum[doubleVex] + sum[doubleVex + 1];\n }\n }\n\n public void update(int currentVertex, int currentLeft, int currentRight, int pos, int value) {\n if (currentLeft == currentRight) sum[currentVertex] = a[pos] = value;\n else {\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n if (pos <= mid)\n update(doubleVex, currentLeft, mid, pos, value);\n else\n update(doubleVex + 1, mid + 1, currentRight, pos, value);\n sum[currentVertex] = sum[doubleVex] + sum[doubleVex + 1];\n }\n }\n\n public void update(int pos, int value) {\n update(1, 0, n - 1, pos, value);\n }\n\n public int sum(int currentVertex, int currentLeft, int currentRight, int left, int right) {\n if (currentLeft > right || currentRight < left) return 0;\n else if (left <= currentLeft && currentRight <= right) return sum[currentVertex];\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n return sum(doubleVex, currentLeft, mid, left, right) + sum(doubleVex + 1, mid + 1, currentRight, left, right);\n }\n\n public int sum(int left, int right) {\n return sum(1, 0, n - 1, left, right);\n }\n\n public int kth(int currentVertex, int currentLeft, int currentRight, int k) {\n if (k > sum[currentVertex]) return -1;\n if (currentLeft == currentRight) return currentLeft;\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n if (k <= sum[doubleVex])\n return kth(doubleVex, currentLeft, mid, k);\n else\n return kth(doubleVex + 1, mid + 1, currentRight, k - sum[doubleVex]);\n }\n\n public int kth(int k) {\n return kth(1, 0, n - 1, k);\n }\n }\n\n\n static class TreeSetTree {\n private int n;\n private int[] a;\n private NavigableSet<Integer>[] set;\n\n public TreeSetTree(int[] a, int n) {\n this.n = n;\n this.a = a;\n this.set = Stream.generate(TreeSet::new).limit(4 * n + 4).toArray(NavigableSet[]::new);\n build(1, 0, n - 1);\n }\n\n void merge(NavigableSet<Integer> z, NavigableSet<Integer> x, NavigableSet<Integer> y) {\n z.addAll(x);\n z.addAll(y);\n }\n\n public void build(int currentVertex, int currentLeft, int currentRight) {\n if (currentLeft == currentRight) set[currentVertex].add(a[currentLeft]);\n else {\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n build(doubleVex, currentLeft, mid);\n build(doubleVex + 1, mid + 1, currentRight);\n merge(set[currentVertex], set[doubleVex], set[doubleVex + 1]);\n }\n }\n\n public void update(int currentVertex, int currentLeft, int currentRight, int pos, int value) {\n set[currentVertex].remove(a[pos]);\n set[currentVertex].add(value);\n if (currentLeft == currentRight) {\n a[pos] = value;\n } else {\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n if (pos <= mid)\n update(doubleVex, currentLeft, mid, pos, value);\n else\n update(doubleVex + 1, mid + 1, currentRight, pos, value);\n }\n }\n\n public void update(int pos, int value) {\n update(1, 0, n - 1, pos, value);\n }\n\n public int get(int currentVertex, int currentLeft, int currentRight, int left, int right, int k) {\n if (currentLeft > right || currentRight < left) return 0;\n else if (left <= currentLeft && currentRight <= right) {\n Integer floor = set[currentVertex].floor(k);\n return floor == null ? 0 : floor;\n }\n int mid = currentLeft + currentRight >> 1, doubleVex = currentVertex << 1;\n return Math.max(get(doubleVex, currentLeft, mid, left, right, k),\n get(doubleVex + 1, mid + 1, currentRight, left, right, k));\n }\n\n public int get(int left, int right, int k) {\n return get(1, 0, n - 1, left, right, k);\n }\n }\n\n static class ListUtils {\n static int lowerBound(List<Integer> list, int l, int r, int k) {\n int m = 0, ans = r;\n while (l < r) if (list.get(m = l + r >> 1) >= k) ans = r = m;\n else l = m + 1;\n return ans;\n }\n\n static int upperBound(List<Integer> list, int l, int r, int k) {\n int m = 0, ans = r;\n while (l < r) if (list.get(m = l + r >> 1) > k) ans = r = m;\n else l = m + 1;\n return ans;\n }\n\n static int lowerBound(List<Integer> list, int k) {\n return lowerBound(list, 0, list.size(), k);\n }\n\n static int upperBound(List<Integer> list, int k) {\n return upperBound(list, 0, list.size(), k);\n }\n\n static int amountOfNumbersEqualTo(List<Integer> list, int l, int r, int k) {\n return upperBound(list, l, r, k) - lowerBound(list, l, r, k);\n }\n\n static int amountOfNumbersEqualTo(List<Integer> list, int k) {\n return upperBound(list, 0, list.size(), k) - lowerBound(list, 0, list.size(), k);\n }\n\n\n }\n\n static class ArrayUtils {\n static int lowerBound(int[] a, int l, int r, int k) {\n int m = 0, ans = r;\n while (l < r) if (a[m = l + r >> 1] >= k) ans = r = m;\n else l = m + 1;\n return ans;\n }\n\n static int upperBound(int[] a, int l, int r, int k) {\n int m = 0, ans = r;\n while (l < r) if (a[m = l + r >> 1] > k) ans = r = m;\n else l = m + 1;\n return ans;\n }\n\n static int lowerBound(int[] a, int k) {\n return lowerBound(a, 0, a.length, k);\n }\n\n static int upperBound(int[] a, int k) {\n return upperBound(a, 0, a.length, k);\n }\n\n static void compressed(int[] a, int n) {\n int[] b = a.clone();\n Arrays.sort(b);\n for (int i = 0; i < n; i++) {\n a[i] = lowerBound(b, a[i]) + 1;\n }\n }\n\n static void compressed(int[] a, int l, int r) {\n if (l >= r) return;\n int[] b = new int[r - l];\n System.arraycopy(a, l, b, 0, r - l);\n Arrays.sort(b);\n for (int i = l; i < r; i++) a[i] = lowerBound(b, a[i]) + 1;\n }\n }\n\n static class IntegerUtils {\n // returns { gcd(a,b), x, y } such that gcd(a,b) = a*x + b*y\n static long[] euclid(long a, long b) {\n long x = 1, y = 0, x1 = 0, y1 = 1, t;\n while (b != 0) {\n long q = a / b;\n t = x;\n x = x1;\n x1 = t - q * x1;\n t = y;\n y = y1;\n y1 = t - q * y1;\n t = b;\n b = a - q * b;\n a = t;\n }\n return a > 0 ? new long[]{a, x, y} : new long[]{-a, -x, -y};\n }\n\n static int[] generatePrimesUpTo(int n) {\n boolean[] composite = new boolean[n + 1];\n for (int i = 2; i <= n; i++) {\n for (int j = i; 1l * i * j <= n; j++) {\n composite[i * j] = true;\n }\n }\n return IntStream.rangeClosed(2, n).filter(i -> !composite[i]).toArray();\n }\n\n static int[] smallestFactor(int n) {\n int[] sf = new int[n + 1];\n for (int i = 2; i <= n; i++) {\n if (sf[i] == 0) {\n sf[i] = i;\n for (int j = i; 1l * i * j <= n; j++) {\n if (sf[i * j] == 0) {\n sf[i * j] = i;\n }\n }\n }\n }\n return sf;\n }\n\n static int phi(int n) {\n int result = n;\n for (int i = 2; 1l * i * i <= n; i++) {\n if (n % i == 0) {\n while (n % i == 0) n /= i;\n result -= result / i;\n }\n }\n if (n > 1) result -= result / n;\n return result;\n }\n\n static long phi(long n) {\n // n <= 10 ^ 12;\n long result = n;\n for (int i = 2; 1l * i * i <= n; i++) {\n if (n % i == 0) {\n while (n % i == 0) n /= i;\n result -= result / i;\n }\n }\n if (n > 1) result -= result / n;\n return result;\n }\n\n static long[] n_thFiboNaCi(long n, int p) {\n // f[n + k] = f[n + 1].f[k] + f[n].f[k - 1]\n if (n == 0) return new long[]{0, 1};\n long[] a = n_thFiboNaCi(n >> 1, p);\n long c = (2 * a[1] - a[0] + p) % p * a[0] % p;\n long d = (a[1] * a[1] % p + a[0] * a[0] % p) % p;\n if (n % 2 == 0) return new long[]{c, d};\n else return new long[]{d, (c + d) % p};\n }\n\n static long modPow(int base, int exponential, int p) {\n if (exponential == 0) return 1;\n long x = modPow(base, exponential >> 1, p) % p;\n return exponential % 2 == 0 ? x * x % p : x * x % p * base % p;\n }\n\n static long modPow(long base, int exponential, int p) {\n if (exponential == 0) return 1;\n long x = modPow(base, exponential >> 1, p) % p;\n return exponential % 2 == 0 ? x * x % p : x * x % p * base % p;\n }\n\n static long modPow(long base, long exponential, int p) {\n if (exponential == 0) return 1;\n long x = modPow(base, exponential >> 1, p) % p;\n return exponential % 2 == 0 ? x * x % p : x * x % p * base % p;\n }\n\n static long[] generateFactorialArray(int n, int p) {\n long[] factorial = new long[n + 1];\n factorial[0] = 1;\n for (int i = 1; i <= n; i++) factorial[i] = (factorial[i - 1] * i) % p;\n return factorial;\n }\n\n static long cNkModP(long[] factorial, int n, int k, int p) {\n return factorial[n] * modPow(factorial[k], p - 2, p) % p * modPow(factorial[n - k], p - 2, p) % p;\n }\n\n static long gcd(long a, long b) {\n return b == 0 ? a : gcd(b, a % b);\n }\n\n static int gcd(int a, int b) {\n return b == 0 ? a : gcd(b, a % b);\n }\n\n }\n\n static class SparseTableMax {\n private int n, blocks;\n private int[] log, data;\n private int[][] max;\n\n public SparseTableMax(int[] data, int n) {\n this.n = n;\n this.data = data;\n this.log = new int[n + 1];\n for (int i = 2; i <= n; i++) {\n log[i] = log[i >> 1] + 1;\n }\n this.blocks = log[n];\n this.max = new int[n][blocks + 1];\n for (int i = 0; i < n; i++) {\n max[i][0] = data[i];\n }\n build();\n }\n\n int calc(int a, int b) {\n return Math.max(a, b);\n }\n\n void build() {\n for (int j = 1; j <= blocks; j++) {\n for (int i = 0; i + (1 << j) <= n; i++) {\n max[i][j] = calc(max[i][j - 1], max[i + (1 << j - 1)][j - 1]);\n }\n }\n }\n\n int getMax(int l, int r) {\n int k = log[r - l + 1];\n return calc(max[l][k], max[r - (1 << k) + 1][k]);\n }\n }\n\n static class DSU {\n protected int vertex, countCC;\n protected int[] id, size;\n\n public DSU(int vertex) {\n this.vertex = vertex;\n this.id = IntStream.range(0, vertex).toArray();\n this.size = new int[vertex];\n Arrays.fill(size, 1);\n countCC = vertex;\n }\n\n int find(int i) {\n return id[i] == i ? i : (id[i] = find(id[i]));\n }\n\n void unite(int i, int j) {\n int x = find(i);\n int y = find(j);\n if (x == y) return;\n countCC--;\n if (size[x] > size[y]) {\n id[y] = id[x];\n size[x] += size[y];\n size[y] = 0;\n return;\n }\n id[x] = id[y];\n size[y] += size[x];\n size[x] = 0;\n }\n\n boolean isConnected(int i, int j) {\n return find(i) == find(j);\n }\n\n int connectedComponents() {\n return countCC;\n }\n }\n\n\n void printf() {\n out.print(answer);\n }\n\n void close() {\n out.close();\n }\n\n void flush() {\n out.flush();\n }\n\n void printf(Stream<?> str) {\n str.forEach(o -> add(o, \" \"));\n add(\"\\n\");\n }\n\n\n void printf(Object... obj) {\n printf(false, obj);\n }\n\n void printfWithDescription(Object... obj) {\n printf(true, obj);\n }\n\n\n private void printf(boolean b, Object... obj) {\n\n if (obj.length > 1) {\n for (int i = 0; i < obj.length; i++) {\n if (b) add(obj[i].getClass().getSimpleName(), \" - \");\n if (obj[i] instanceof Collection<?>) {\n printf((Collection<?>) obj[i]);\n } else if (obj[i] instanceof int[][]) {\n printf((int[][]) obj[i]);\n } else if (obj[i] instanceof long[][]) {\n printf((long[][]) obj[i]);\n } else if (obj[i] instanceof double[][]) {\n printf((double[][]) obj[i]);\n } else printf(obj[i]);\n }\n return;\n }\n\n if (b) add(obj[0].getClass().getSimpleName(), \" - \");\n printf(obj[0]);\n }\n\n void printf(Object o) {\n if (o instanceof int[])\n printf(Arrays.stream((int[]) o).boxed());\n else if (o instanceof char[])\n printf(new String((char[]) o));\n else if (o instanceof long[])\n printf(Arrays.stream((long[]) o).boxed());\n else if (o instanceof double[])\n printf(Arrays.stream((double[]) o).boxed());\n else if (o instanceof boolean[]) {\n for (boolean b : (boolean[]) o) add(b, \" \");\n add(\"\\n\");\n } else\n add(o, \"\\n\");\n }\n\n void printf(int[]... obj) {\n for (int i = 0; i < obj.length; i++) printf(obj[i]);\n }\n\n void printf(long[]... obj) {\n for (int i = 0; i < obj.length; i++) printf(obj[i]);\n }\n\n void printf(double[]... obj) {\n for (int i = 0; i < obj.length; i++) printf(obj[i]);\n }\n\n void printf(boolean[]... obj) {\n for (int i = 0; i < obj.length; i++) printf(obj[i]);\n }\n\n void printf(Collection<?> col) {\n printf(col.stream());\n }\n\n <T, K> void add(T t, K k) {\n if (t instanceof Collection<?>) {\n ((Collection<?>) t).forEach(i -> add(i, \" \"));\n } else if (t instanceof Object[]) {\n Arrays.stream((Object[]) t).forEach(i -> add(i, \" \"));\n } else\n add(t);\n add(k);\n }\n\n\n <T> void add(T t) {\n answer.append(t);\n }\n\n @SuppressWarnings(\"unchecked\")\n <T extends Comparable<? super T>> T min(T... t) {\n if (t.length == 0)\n return null;\n T m = t[0];\n for (int i = 1; i < t.length; i++)\n if (t[i].compareTo(m) < 0)\n m = t[i];\n return m;\n }\n\n @SuppressWarnings(\"unchecked\")\n <T extends Comparable<? super T>> T max(T... t) {\n if (t.length == 0)\n return null;\n T m = t[0];\n for (int i = 1; i < t.length; i++)\n if (t[i].compareTo(m) > 0)\n m = t[i];\n return m;\n }\n\n static class Pair<K extends Comparable<? super K>, V extends Comparable<? super V>>\n implements Comparable<Pair<K, V>> {\n private K k;\n private V v;\n\n Pair(K k, V v) {\n this.k = k;\n this.v = v;\n }\n\n @SuppressWarnings(\"unchecked\")\n @Override\n public boolean equals(Object o) {\n if (this == o) return true;\n if (o == null || !(o instanceof Pair)) return false;\n Pair<K, V> p = (Pair<K, V>) o;\n return k.compareTo(p.k) == 0 && v.compareTo(p.v) == 0;\n }\n\n @Override\n public int hashCode() {\n int hash = 31;\n hash = hash * 89 + k.hashCode();\n hash = hash * 89 + v.hashCode();\n return hash;\n }\n\n @Override\n public int compareTo(Pair<K, V> pair) {\n return k.compareTo(pair.k) == 0 ? v.compareTo(pair.v) : k.compareTo(pair.k);\n }\n\n @Override\n public Pair<K, V> clone() {\n return new Pair<K, V>(this.k, this.v);\n }\n\n @Override\n public String toString() {\n return String.valueOf(k).concat(\" \").concat(String.valueOf(v)).concat(\"\\n\");\n }\n }\n\n static class Reader\n {\n final private int BUFFER_SIZE = 1 << 16;\n private DataInputStream din;\n private byte[] buffer;\n private int bufferPointer, bytesRead;\n\n public Reader()\n {\n din = new DataInputStream(System.in);\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n\n public Reader(String file_name) throws IOException\n {\n din = new DataInputStream(new FileInputStream(file_name));\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n\n public String readLine() throws IOException\n {\n byte[] buf = new byte[64]; // line length\n int cnt = 0, c;\n while ((c = read()) != -1)\n {\n if (c == '\\n')\n break;\n buf[cnt++] = (byte) c;\n }\n return new String(buf, 0, cnt);\n }\n\n public int nextInt() throws IOException\n {\n int ret = 0;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n do\n {\n ret = ret * 10 + c - '0';\n } while ((c = read()) >= '0' && c <= '9');\n\n if (neg)\n return -ret;\n return ret;\n }\n\n public long nextLong() throws IOException\n {\n long ret = 0;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n do {\n ret = ret * 10 + c - '0';\n }\n while ((c = read()) >= '0' && c <= '9');\n if (neg)\n return -ret;\n return ret;\n }\n\n public double nextDouble() throws IOException\n {\n double ret = 0, div = 1;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n\n do {\n ret = ret * 10 + c - '0';\n }\n while ((c = read()) >= '0' && c <= '9');\n\n if (c == '.')\n {\n while ((c = read()) >= '0' && c <= '9')\n {\n ret += (c - '0') / (div *= 10);\n }\n }\n\n if (neg)\n return -ret;\n return ret;\n }\n\n private void fillBuffer() throws IOException\n {\n bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);\n if (bytesRead == -1)\n buffer[0] = -1;\n }\n\n private byte read() throws IOException\n {\n if (bufferPointer == bytesRead)\n fillBuffer();\n return buffer[bufferPointer++];\n }\n\n public void close() throws IOException\n {\n if (din == null)\n return;\n din.close();\n }\n }\n}", "python": null }
Codeforces/328/B
# Sheldon and Ice Pieces Do you remember how Kai constructed the word "eternity" using pieces of ice as components? Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect "Digital Mimicry". Sheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once. Input The first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9. Output Print the required number of instances. Examples Input 42 23454 Output 2 Input 169 12118999 Output 1 Note This problem contains very weak pretests.
[ { "input": { "stdin": "42\n23454\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "169\n12118999\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5518\n9827108589585181118358352282425981568508825302611217254345831149357236227288533838583629451589201341265988858338548185158221291825821019993179835186961954871454\n" }, "output": { "stdout": "23\n" } }, { "input": { "stdin": "533\n355233333332\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "9\n666969\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "2559\n5252555622565626\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "2569\n9592525295556669222269569596622566529699\n" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "11\n1\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "9697\n76694996266995167659667796999669903799299696697971977966766996767667996967697669766777697969669669297966667776967677699767966667666769699790768276666766\n" }, "output": { "stdout": "34\n" } }, { "input": { "stdin": "2559\n52555995269265555695922255525995255259555259252562655622526292929555265526255252526255555296956995596262965522222225655655262255226222259622295225295525265995566255556225522559559295225625559595222652\n" }, "output": { "stdout": "48\n" } }, { "input": { "stdin": "5\n2\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "555\n225225252222255\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "33\n33333333\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "25\n52\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "100\n11111000000000001010110010101100011011110101000000000001100110007111110010100000011000010011000011000010010000111101000010000000801000100111000410010100100000001011000000000101100010110001001100010001\n" }, "output": { "stdout": "63\n" } }, { "input": { "stdin": 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{ "tags": [ "greedy" ], "title": "Sheldon and Ice Pieces" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint frc[20];\nint main() {\n string a, b;\n cin >> a >> b;\n for (auto &i : a) i -= '0';\n for (auto &i : b) frc[i -= '0']++;\n int r = 0, m = 1;\n while (m) {\n for (auto i : a) {\n if (frc[i] != 0)\n frc[i]--;\n else if (i == 6 && frc[9])\n frc[9]--;\n else if (i == 9 && frc[6])\n frc[6]--;\n else if (i == 2 && frc[5])\n frc[5]--;\n else if (i == 5 && frc[2])\n frc[2]--;\n else\n m = 0;\n }\n if (m) r++;\n }\n cout << r;\n return 0;\n}\n", "java": "\n\nimport java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\n\n\npublic class Main {\n public static void main(String[] args) throws IOException{\n Reader.init(System.in); \n PrintWriter out = new PrintWriter(System.out);\n TaskB solver = new TaskB();\n solver.solve(out);\n out.close();\n }\n}\n\nclass TaskB{\n void solve(PrintWriter out) throws IOException{\n String t = Reader.next();\n String ice = Reader.next();\n int[] digits = new int[10];\n int[] needs = new int[10];\n \n for(int i=0; i<ice.length(); i++)\n digits[ice.charAt(i)-'0'] ++;\n \n for(int i=0; i<t.length(); i++)\n needs[t.charAt(i)-'0'] ++;\n \n int result=200;\n for(int i=0; i<10; i++){\n if(i==2 || i==5 || i==6 || i==9)\n continue;\n if(needs[i] !=0){\n if(result > digits[i]/needs[i])\n result = digits[i]/needs[i];\n }\n }\n if(needs[2] !=0 || needs[5] != 0){\n if(result > (digits[2] + digits[5])/(needs[2] + needs[5]))\n result = (digits[2] + digits[5])/(needs[2] + needs[5]);\n }\n if(needs[6] !=0 || needs[9] != 0){\n if(result > (digits[6] + digits[9])/(needs[6] + needs[9]))\n result = (digits[6] + digits[9])/(needs[6] + needs[9]);\n }\n \n out.println(result);\n }\n \n}\nclass TaskA{\n int n ;\n int[] num;\n void solve(PrintWriter out) throws IOException{\n n = 4;\n num = new int[n];\n for(int i=0; i<n; i++)\n num[i] = Reader.nextInt();\n \n int result;\n if((result = cha()) != -1000)\n out.println(result);\n else if((result = bi()) != -1000)\n out.println(result);\n else \n out.println(\"42\");\n \n }\n int cha(){\n int x = num[1] - num[0];\n boolean t = false;\n for(int i=1; i<n; i++)\n if((num[i] - num[i-1]) != x)\n t = true;\n if(t == true)\n return -1000;\n else\n return num[3] + x;\n }\n \n int bi(){\n boolean t = false;\n double x = (double)num[1] / (double)num[0];\n \n if(idequels(1, x))\n t = true;\n \n for(int i=1; i<n; i++)\n if(!idequels(num[i], (double)num[i-1]*x)){\n t = true;\n //System.out.println(\"i = \" + i + \" num[i] = \" + num[i] + \" num[i-1] \" + (double)num[i-1]*x + \" x = \" + x);\n } \n \n if(t == true)\n return -1000;\n else{\n double k = num[3] * x;\n if(!idequels((int)k, k))\n return -1000;\n else \n return \n (int)k;\n }\n \n }\n \n boolean idequels(int a, double b){\n double aa = (double)a;\n return Math.abs(aa - b) < 1e-6;\n }\n}\n\n\nclass Reader {\n static BufferedReader reader;\n static StringTokenizer tokenizer;\n\n /** call this method to initialize reader for InputStream */\n static void init(InputStream input) {\n reader = new BufferedReader(\n new InputStreamReader(input) );\n tokenizer = new StringTokenizer(\"\");\n }\n\n /** get next word */\n static String next() throws IOException {\n while ( ! tokenizer.hasMoreTokens() ) {\n //TODO add check for eof if necessary\n tokenizer = new StringTokenizer(\n reader.readLine() );\n }\n return tokenizer.nextToken();\n }\n\n static int nextInt() throws IOException {\n return Integer.parseInt( next() );\n }\n \n static double nextDouble() throws IOException {\n return Double.parseDouble( next() );\n }\n}", "python": "from collections import Counter\na,b=Counter(list(raw_input())),Counter(list(raw_input()))\nans=10**6\nfor i in range(10):\n if a[str(i)]==0 or i in[2,5,6,9]:continue\n ans = min(ans, b[str(i)]/a[str(i)])\nif a['6']or a['9']:ans=min(ans,(b['6']+b['9'])/(a['6']+a['9']))\nif a['2']or a['5']:ans=min(ans,(b['2']+b['5'])/(a['2']+a['5']))\nprint ans\n" }
Codeforces/34/C
# Page Numbers «Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces). Your task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li». For example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6. Input The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row. Output Output the sequence in the required format. Examples Input 1,2,3,1,1,2,6,6,2 Output 1-3,6 Input 3,2,1 Output 1-3 Input 30,20,10 Output 10,20,30
[ { "input": { "stdin": "30,20,10\n" }, "output": { "stdout": "10,20,30" } }, { "input": { "stdin": "3,2,1\n" }, "output": { "stdout": "1-3" } }, { "input": { "stdin": "1,2,3,1,1,2,6,6,2\n" }, "output": { "stdout": "1-3,6" } }, { "input": { "stdin": "511,32\n" }, "output": { "stdout": "32,511" } }, { "input": { "stdin": "684,698,429,694,956,812,594,170,937,764\n" }, "output": { "stdout": "170,429,594,684,694,698,764,812,937,956" } }, { "input": { "stdin": "744,359,230,586,944,442\n" }, "output": { "stdout": "230,359,442,586,744,944" } }, { "input": { "stdin": "37\n" }, "output": { "stdout": "37" } }, { "input": { "stdin": "996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\n" }, "output": { "stdout": "979,981,983-984,987,989,992-993,995-996,998-1000" } }, { "input": { "stdin": "1000\n" }, "output": { "stdout": "1000" } }, { "input": { "stdin": "2\n" }, "output": { "stdout": "2" } }, { "input": { "stdin": "93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\n" }, "output": { "stdout": "1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134" } }, { "input": { "stdin": "646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\n" }, "output": { "stdout": "437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969" } }, { "input": { "stdin": "4,24,6,1,15\n" }, "output": { "stdout": "1,4,6,15,24" } }, { "input": { "stdin": "303,872,764,401\n" }, "output": { "stdout": "303,401,764,872" } }, { "input": { "stdin": "48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\n" }, "output": { "stdout": "1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197" } }, { "input": { "stdin": "31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n" }, "output": { "stdout": "1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479" } }, { "input": { "stdin": "1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\n" }, "output": { "stdout": "997-1000" } }, { "input": { "stdin": "896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\n" }, "output": { "stdout": "642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994" } }, { "input": { "stdin": "826,747,849,687,437\n" }, "output": { "stdout": "437,687,747,826,849" } }, { "input": { "stdin": "907,452,355\n" }, "output": { "stdout": "355,452,907" } }, { "input": { "stdin": "999\n" }, "output": { "stdout": "999" } }, { "input": { "stdin": "4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n" }, "output": { "stdout": "1-17,19-21,26-27,29" } }, { "input": { "stdin": "994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n" }, "output": { "stdout": "746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000" } }, { "input": { "stdin": "713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n" }, "output": { "stdout": "3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996" } }, { "input": { "stdin": "999,999,993,969,999\n" }, "output": { "stdout": "969,993,999" } }, { "input": { "stdin": "1\n" }, "output": { "stdout": "1" } }, { "input": { "stdin": "999,999,983,969,999\n" }, "output": { "stdout": "969,983,999\n" } }, { "input": { "stdin": "84\n" }, "output": { "stdout": "84\n" } }, { "input": { "stdin": "511,31\n" }, "output": { "stdout": "31,511\n" } }, { "input": { "stdin": 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"744,359,230,576,944,442\n" }, "output": { "stdout": "230,359,442,576,744,944\n" } }, { "input": { "stdin": "684,699,429,694,956,812,594,070,937,764\n" }, "output": { "stdout": "70,429,594,684,694,699,764,812,937,956\n" } }, { "input": { "stdin": "546,231,609\n" }, "output": { "stdout": "231,546,609\n" } }, { "input": { "stdin": "598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\n" }, "output": { "stdout": "46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\n" } }, { "input": { "stdin": "244,449,685,032,953,457\n" }, "output": { "stdout": "32,244,449,457,685,953\n" } }, { "input": { "stdin": "0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n" }, "output": { "stdout": "1,189,299,399,489,599,699,789,899,979,989,999\n" } }, { "input": { "stdin": "553,253,709\n" }, "output": { "stdout": "253,553,709\n" } }, { "input": { "stdin": "0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n" }, "output": { "stdout": "1,101,189,299,399,489,699,789,899,979,989,999\n" } }, { "input": { "stdin": "684,699,429,694,856,911,594,270,937,764\n" }, "output": { "stdout": "270,429,594,684,694,699,764,856,911,937\n" } }, { "input": { "stdin": "104\n" }, "output": { "stdout": "104\n" } }, { "input": { "stdin": "553,253,609\n" }, "output": { "stdout": "253,553,609\n" } }, { "input": { "stdin": "22\n" }, "output": { "stdout": "22\n" } }, { "input": { "stdin": "467,738,071,495,119,658,496,924,996,486\n" }, "output": { "stdout": "71,119,467,486,495-496,658,738,924,996\n" } }, { "input": { "stdin": "43\n" }, "output": { "stdout": "43\n" } }, { "input": { "stdin": "730\n" }, "output": { "stdout": "730\n" } }, { "input": { "stdin": "467,738,672,495,119,658,490,924,996,486\n" }, "output": { "stdout": "119,467,486,490,495,658,672,738,924,996\n" } }, { "input": { "stdin": "3,24,6,1,16\n" }, "output": { "stdout": "1,3,6,16,24\n" } } ]
{ "tags": [ "expression parsing", "implementation", "sortings", "strings" ], "title": "Page Numbers" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nvector<int> v;\nint main() {\n v.resize(10000, 0);\n int num;\n char coma;\n int n = 0;\n cin >> num;\n cin >> coma;\n v[num - 1] = 1;\n n++;\n while (!cin.eof()) {\n cin >> num;\n cin >> coma;\n v[num - 1] = 1;\n n++;\n }\n int size = 0;\n for (int m = 0; m <= 1001; m++) {\n if (m + 1 > size && v[m] == 1) size = m + 1;\n }\n int stop;\n for (int i = size; i >= 0; i--) {\n if (v[i] == 1) {\n stop = i;\n break;\n }\n }\n int estado = 0;\n for (int i = 0; i <= stop; i++) {\n if (v[i] == 0) {\n if (estado == 1) {\n cout << \",\";\n estado = 0;\n }\n estado = 0;\n } else {\n if (estado == 0) {\n cout << i + 1;\n estado = 1;\n } else if (i + 1 <= stop) {\n if (v[i + 1] == 0) {\n cout << \"-\" << i + 1;\n }\n } else if (i == size - 1) {\n cout << \"-\" << i + 1;\n }\n }\n }\n cout << endl;\n return 0;\n}\n", "java": "import java.util.*;\nimport java.lang.*;\nimport java.io.*;\nimport java.util.HashSet;\nimport java.util.List;\nimport java.util.Set;\nimport java.util.Collections;\n\n//CODE WRITTEN BY ABHINAV SHARMA\npublic class Ideone\n{\n\tpublic static void main (String[] args) throws java.lang.Exception\n\t{\n\t\tScanner sc=new Scanner(System.in);\n\t\tString s=sc.next();\n\t\tHashSet<Integer> hset=new HashSet<Integer> ();\n\t\tHashSet<Integer> hs=new HashSet<Integer> ();\n\t\tArrayList<String> a=new ArrayList<String> ();\n\t\tint i,c=0;\n\t\tString s4=\"\";\n\t\tif(!s.contains(\",\"))\n\t\tSystem.out.println(s);\n\t\telse{\n\t\tfor(i=0;i<s.length();i++)\n\t\t{\n\t\t\tif(s.charAt(i)!=',')\n\t\t\t s4+=s.charAt(i);\n\t\t\telse if(s.charAt(i)==','&&i!=s.lastIndexOf(','))\n\t\t\t{\n\t\t\t\tint inp=Integer.parseInt(s4);\n\t\t\t\thset.add(inp);\n\t\t\t\ts4=\"\";\n\t\t\t}\n\t\t\telse if(s.charAt(i)==','&&i==s.lastIndexOf(','))\n\t\t\t{\n\t\t\t\tint inp=Integer.parseInt(s4);\n\t\t\t\thset.add(inp);\n\t\t\t\thset.add(Integer.parseInt(s.substring(i+1)));\n\t\t\t\ts4=\"\";\n\t\t\t}\n\t\t}\n\t\tArrayList<Integer> hset1=new ArrayList<Integer> (hset);\n\t\tArrayList<Integer> hs1=new ArrayList<Integer> ();\n\t\tCollections.sort(hset1);\n\t\t//System.out.println(hset1);\n\t\n\t\tfor(i=0;i<hset1.size()-1;i++)\n\t\t{\n\t\t\tif(Math.abs(hset1.get(i)-hset1.get(i+1))!=1)\n\t\t\t++c;\n\t\t}\n\t\tif(c==hset1.size()-1)\n\t\t{\n\t\t\tfor(i=0;i<hset1.size();i++)\n\t\t{\n\t\t\tif(i==hset1.size()-1)\n\t\t\tSystem.out.println(hset1.get(i));\n\t\t\telse\n\t\t\tSystem.out.print(hset1.get(i)+\",\");\n\t\t}\n\t\t}\n\t\t\n\t\telse\n\t\t{\n\t\tString s1=\"\";\n\t\t//System.out.println(hset1);\n\t\tfor(i=0;i<hset1.size()-1;i++)\n\t\t{\n\t\t\t\n\t\t\t//System.out.println(hs);\n\t\t\tif(Math.abs(hset1.get(i)-hset1.get(i+1))!=1&&i!=hset.size()-2)\n\t\t\t{\n\t\t\t\tif(hs.size()==0)\n\t\t\t\ta.add(String.valueOf(hset1.get(i)));\n\t\t\t\telse{\n\t\t\t\ths1.addAll(hs);\n\t\t\t\tCollections.sort(hs1);\n\t\t\t\ts1+=hs1.get(0)+\"-\"+hs1.get(hs1.size()-1);\n\t\t\t\ta.add(s1);\n\t\t\t\ts1=\"\";\n\t\t\t\ths.clear();\n\t\t\t\ths1.clear();}\n\t\t\t}\n\t\t\telse if(Math.abs(hset1.get(i)-hset1.get(i+1))==1&&i!=hset1.size()-2)\n\t\t\t{\n\t\t\t\t\t\n\t\t\t\t\ths.add(hset1.get(i));\n\t\t\t\t\ths.add(hset1.get(i+1));\n\t\t\t\t\t}\n\t\t\t\t\telse if(Math.abs(hset1.get(i)-hset1.get(i+1))==1&&i==hset1.size()-2)\n\t\t\t{\n\t\t\t\t\t\n\t\t\t\t\ths.add(hset1.get(i));\n\t\t\t\t\ths.add(hset1.get(i+1));\n\t\t\t\t\t\n\t\t\t\t\ths1.addAll(hs);\n\t\t\t\t\tCollections.sort(hs1);\n\t\t\t\ts1+=hs1.get(0)+\"-\"+hs1.get(hs1.size()-1);\n\t\t\t\ta.add(s1);\n\t\t\t\ts1=\"\";\n\t\t\t\ths.clear();\n\t\t\t\ths1.clear();\n\t\t\t\t\t}\n\t\t\t\t\telse if(Math.abs(hset1.get(i)-hset1.get(i+1))!=1&&i==hset1.size()-2)\n\t\t\t{\n\t\t\t\t\t\n\t\t\t\t\tif(hs.size()==0){\n\t\t\t\t\t\t\n\t\t\t\t\ta.add(String.valueOf(hset1.get(i)));\n\t\t\t\t\ta.add(String.valueOf(hset1.get(i+1)));}\n\t\t\t\t\telse\n\t\t\t\t\t{\n\t\t\t\t\ths1.addAll(hs);\n\t\t\t\ts1+=hs1.get(0)+\"-\"+hs1.get(hs1.size()-1);\n\t\t\t\ta.add(s1);\n\t\t\t\ta.add(String.valueOf(hset1.get(i+1)));\n\t\t\t\ts1=\"\";\n\t\t\t\ths.clear();\n\t\t\t\ths1.clear();\n\t\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tif(a.size()==1)\n\t\tSystem.out.println(a.get(0));\n\t\telse\n\t\tfor(i=0;i<a.size();i++)\n\t\t{\n\t\t\tif(i==a.size()-1)\n\t\t\tSystem.out.println(a.get(i));\n\t\t\telse\n\t\t\tSystem.out.print(a.get(i)+\",\");\n\t\t}\n\t\t}\n\t}\n\t}\t\n}", "python": "import sys\n\nd = {}\na = [ int(x) for x in raw_input().split(',') ]\n\nfor i in a:\n d[i] = True\n\ni = 0\nfirst = True\nwhile True:\n if i > 1000:\n break\n\n if not (i in d):\n i += 1\n continue\n\n ll = 0\n while i in d:\n ll += 1\n i += 1\n\n if not first:\n sys.stdout.write(',')\n else:\n first = False\n\n if ll == 1:\n sys.stdout.write(str(i-1))\n else:\n sys.stdout.write(str(i-ll) + '-' + str(i-1))\n\nsys.stdout.write(\"\\n\")\n" }
Codeforces/373/D
# Counting Rectangles is Fun There is an n × m rectangular grid, each cell of the grid contains a single integer: zero or one. Let's call the cell on the i-th row and the j-th column as (i, j). Let's define a "rectangle" as four integers a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m). Rectangle denotes a set of cells of the grid {(x, y) : a ≤ x ≤ c, b ≤ y ≤ d}. Let's define a "good rectangle" as a rectangle that includes only the cells with zeros. You should answer the following q queries: calculate the number of good rectangles all of which cells are in the given rectangle. Input There are three integers in the first line: n, m and q (1 ≤ n, m ≤ 40, 1 ≤ q ≤ 3·105). Each of the next n lines contains m characters — the grid. Consider grid rows are numbered from top to bottom, and grid columns are numbered from left to right. Both columns and rows are numbered starting from 1. Each of the next q lines contains a query — four integers that describe the current rectangle, a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m). Output For each query output an answer — a single integer in a separate line. Examples Input 5 5 5 00101 00000 00001 01000 00001 1 2 2 4 4 5 4 5 1 2 5 2 2 2 4 5 4 2 5 3 Output 10 1 7 34 5 Input 4 7 5 0000100 0000010 0011000 0000000 1 7 2 7 3 1 3 1 2 3 4 5 1 2 2 7 2 2 4 7 Output 3 1 16 27 52 Note For the first example, there is a 5 × 5 rectangular grid, and the first, the second, and the third queries are represented in the following image. <image> * For the first query, there are 10 good rectangles, five 1 × 1, two 2 × 1, two 1 × 2, and one 1 × 3. * For the second query, there is only one 1 × 1 good rectangle. * For the third query, there are 7 good rectangles, four 1 × 1, two 2 × 1, and one 3 × 1.
[ { "input": { "stdin": "5 5 5\n00101\n00000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n" }, "output": { "stdout": "10\n1\n7\n34\n5\n" } }, { "input": { "stdin": "4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 3 4 5\n1 2 2 7\n2 2 4 7\n" }, "output": { "stdout": "3\n1\n16\n27\n52\n" } }, { "input": { "stdin": "2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 2\n" }, "output": { "stdout": "9\n1\n1\n9\n0\n3\n3\n3\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n79\n9\n151\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n6 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 6 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n" }, "output": { "stdout": "5\n12\n1\n12\n29\n5\n29\n9\n1\n2\n" } }, { "input": { "stdin": "3 2 8\n01\n00\n00\n3 2 3 2\n1 1 2 1\n2 1 3 1\n2 2 3 2\n1 1 2 2\n1 1 1 2\n1 1 3 1\n1 1 2 2\n" }, "output": { "stdout": "1\n3\n3\n3\n5\n1\n6\n5\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n5\n151\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100000110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n5 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n7\n7\n6\n78\n1\n122\n32\n12\n18\n" } }, { "input": { "stdin": "5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n4 3 5 3\n" }, "output": { "stdout": "10\n1\n6\n34\n3\n" } }, { "input": { "stdin": "4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 5 4 5\n1 2 2 7\n2 2 4 7\n" }, "output": { "stdout": "3\n1\n6\n27\n52\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 8\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n5\n122\n27\n12\n39\n" } }, { "input": { "stdin": "2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 3 2 3\n1 1 2 2\n1 2 1 3\n1 2 2 3\n" }, "output": { "stdout": "9\n1\n1\n12\n0\n9\n3\n5\n" } }, { "input": { "stdin": "2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n" }, "output": { "stdout": "9\n1\n1\n12\n0\n3\n3\n5\n" } }, { "input": { "stdin": "2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 3 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n" }, "output": { "stdout": "9\n1\n0\n9\n0\n3\n3\n5\n" } }, { "input": { "stdin": "5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n" }, "output": { "stdout": "10\n1\n3\n34\n8\n" } }, { "input": { "stdin": "2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 1 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n" }, "output": { "stdout": "9\n1\n1\n12\n3\n3\n3\n5\n" } }, { "input": { "stdin": "4 7 5\n0000100\n0000010\n0011000\n0000100\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n" }, "output": { "stdout": "3\n1\n0\n27\n36\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 10 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n1 4 9 5\n" }, "output": { "stdout": "34\n5\n5\n15\n79\n9\n151\n27\n12\n57\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "52\n5\n5\n6\n102\n5\n33\n12\n12\n18\n" } }, { "input": { "stdin": "2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n" }, "output": { "stdout": "9\n1\n1\n9\n0\n3\n3\n5\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n5\n29\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011001010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "52\n7\n9\n6\n74\n5\n122\n32\n16\n18\n" } }, { "input": { "stdin": "4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 2 4 5\n1 2 2 7\n2 2 4 7\n" }, "output": { "stdout": "3\n1\n28\n27\n52\n" } }, { "input": { "stdin": "3 2 8\n01\n00\n00\n3 2 3 2\n1 1 2 1\n2 1 3 1\n2 2 3 2\n1 1 2 2\n1 1 1 1\n1 1 3 1\n1 1 2 2\n" }, "output": { "stdout": "1\n3\n3\n3\n5\n1\n6\n5\n" } }, { "input": { "stdin": "5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n" }, "output": { "stdout": "10\n1\n6\n34\n3\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000100\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "52\n5\n5\n6\n96\n5\n12\n12\n12\n18\n" } }, { "input": { "stdin": "5 5 5\n00101\n10000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n" }, "output": { "stdout": "10\n1\n3\n34\n8\n" } }, { "input": { "stdin": "4 7 5\n0000100\n0000010\n0011000\n0010000\n1 7 2 7\n3 1 3 1\n2 5 4 5\n1 2 2 7\n2 2 4 7\n" }, "output": { "stdout": "3\n1\n6\n27\n42\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 10 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "34\n5\n5\n15\n79\n9\n151\n27\n12\n18\n" } }, { "input": { "stdin": "2 3 8\n100\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 2\n" }, "output": { "stdout": "5\n1\n1\n5\n0\n3\n3\n3\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011001010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000100\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "64\n7\n9\n6\n104\n5\n12\n12\n16\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n5 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n1\n122\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n31\n151\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100101\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 5 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n34\n31\n151\n27\n12\n18\n" } }, { "input": { "stdin": "5 5 5\n00101\n10000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n" }, "output": { "stdout": "10\n1\n7\n34\n5\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n1 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n8\n122\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000110\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "52\n5\n5\n6\n96\n5\n12\n12\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n7 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 3 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n" }, "output": { "stdout": "2\n12\n1\n12\n49\n5\n29\n9\n1\n2\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n5\n29\n12\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n4 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "34\n5\n5\n6\n79\n9\n151\n15\n12\n18\n" } }, { "input": { "stdin": "5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n4 2 5 3\n" }, "output": { "stdout": "10\n1\n6\n34\n3\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n5\n122\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n94\n5\n29\n12\n12\n18\n" } }, { "input": { "stdin": "5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n3 2 5 3\n" }, "output": { "stdout": "10\n1\n6\n34\n8\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000110\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "52\n5\n5\n6\n102\n5\n12\n12\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "52\n5\n5\n6\n102\n5\n12\n12\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n6 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 3 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n" }, "output": { "stdout": "5\n12\n1\n12\n49\n5\n29\n9\n1\n2\n" } }, { "input": { "stdin": "4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n" }, "output": { "stdout": "3\n1\n1\n27\n52\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "34\n5\n5\n6\n79\n9\n151\n27\n12\n18\n" } }, { "input": { "stdin": "10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100101\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n" }, "output": { "stdout": "42\n5\n5\n6\n67\n31\n151\n27\n12\n18\n" } } ]
{ "tags": [ "brute force", "divide and conquer", "dp" ], "title": "Counting Rectangles is Fun" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint n, m, q, a[77][77], sm[77][77], sum[77][77][77][77], x, y, xx, yy;\nchar str[77];\nint main() {\n scanf(\"%d%d%d\", &n, &m, &q);\n for (int i = 1; i <= n; i++) {\n scanf(\"%s\", str);\n for (int j = 1; j <= m; j++) {\n a[i][j] = str[j - 1] - '0';\n }\n }\n for (int i = 1; i <= n; i++) {\n for (int j = 1; j <= m; j++) {\n sm[i][j] = sm[i - 1][j] + sm[i][j - 1] - sm[i - 1][j - 1] + a[i][j];\n }\n }\n for (int i = 1; i <= n; i++) {\n for (int j = i; j <= n; j++) {\n for (int k = 1; k <= m; k++) {\n for (int h = k; h <= m; h++) {\n if (!(sm[j][h] - sm[i - 1][h] - sm[j][k - 1] + sm[i - 1][k - 1])) {\n sum[i][j][k][h]++;\n }\n }\n }\n }\n }\n for (int i = n; i >= 1; i--) {\n for (int j = i; j <= n; j++) {\n for (int k = m; k >= 1; k--) {\n for (int h = k; h <= m; h++) {\n sum[i][j][k][h] =\n sum[i][j][k][h] + sum[i + 1][j][k][h] + sum[i][j - 1][k][h] +\n sum[i][j][k + 1][h] + sum[i][j][k][h - 1] -\n sum[i + 1][j - 1][k][h] - sum[i + 1][j][k + 1][h] -\n sum[i + 1][j][k][h - 1] - sum[i][j - 1][k + 1][h] -\n sum[i][j - 1][k][h - 1] - sum[i][j][k + 1][h - 1] +\n sum[i + 1][j - 1][k + 1][h] + sum[i + 1][j - 1][k][h - 1] +\n sum[i + 1][j][k + 1][h - 1] + sum[i][j - 1][k + 1][h - 1] -\n sum[i + 1][j - 1][k + 1][h - 1];\n }\n }\n }\n }\n while (q--) {\n scanf(\"%d%d%d%d\", &x, &y, &xx, &yy);\n printf(\"%d\\n\", sum[x][xx][y][yy]);\n }\n return 0;\n}\n", "java": "import java.io.BufferedInputStream;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\n\n\npublic class D219 {\n\tstatic char[][] mat;\n\tstatic int[][] freq;\n\tstatic int[][][][] memo;\n\tstatic int R,C;\n\tstatic int[] dr1 = {1,0,0,0}, dr2 = {0,-1,0,0}, dc1 = {0,0,1,0}, dc2 = {0,0,0,-1};\n\tpublic static void main(String[] args) {\n\t\tJolty scan = new Jolty(System.in);\n\t\tPrintWriter out = new PrintWriter(System.out);\n\t\tR = scan.nextInt();\n\t\tC = scan.nextInt();\n\t\tint Q = scan.nextInt();\n\t\tmat = new char[R][C];\n\t\tfreq = new int[R+1][C+1];\n\t\tfor(int i=0;i<R;i++)mat[i] = scan.next().toCharArray();\n\t\t\n\t\tfor(int i=1;i<=R;i++)for(int j=1;j<=C;j++)freq[i][j] = mat[i-1][j-1]-'0';\n\t\tfor(int i=1;i<=R;i++)for(int j=1;j<=C;j++)freq[i][j] += freq[i][j-1];\n\t\tfor(int i=1;i<=R;i++)for(int j=1;j<=C;j++)freq[i][j] +=freq[i-1][j];\n\t\t\n\t\tmemo = new int[R+1][C+1][R+1][C+1];\n\t\tfor(int i=0;i<=R;i++)\n\t\t\tfor(int j=0;j<=C;j++)\n\t\t\t\tfor(int k=0;k<=R;k++)\n\t\t\t\t\tArrays.fill(memo[i][j][k], -1);\n\t\tfor(int i=0;i<Q;i++){\n\t\t\tout.println(solve(scan.nextInt(), scan.nextInt(),scan.nextInt(),scan.nextInt()));\n\t\t}\n\t\tout.close();\n\t}\n\tprivate static int solve(int r1, int c1, int r2, int c2) {\n\t\tif(r1>r2||c1>c2)return 0;\n\t\tif(memo[r1][c1][r2][c2]!=-1)return memo[r1][c1][r2][c2];\n\t\t\n\t\tint sol = query(r1,c1,r2,c2)==0 ? 1:0;\n\t\tfor(int i=1;i<(1<<4);i++){\n\t\t\tint rr1 = r1, cc1 = c1, rr2 = r2, cc2 = c2;\n\t\t\tif((i&(1<<0))!=0)rr1++;\n\t\t\tif((i&(1<<1))!=0)cc1++;\n\t\t\tif((i&(1<<2))!=0)rr2--;\n\t\t\tif((i&(1<<3))!=0)cc2--;\n\t\t\t\n\t\t\tint mult = (Integer.bitCount(i)%2==0)?-1:1;\n\t\t\tsol+=mult*solve(rr1,cc1,rr2,cc2);\n\t\t}\n\t\t\n\t\treturn memo[r1][c1][r2][c2] = sol;\n\t}\n\tprivate static int query(int r1, int c1, int r2, int c2) {\n\t\treturn freq[r2][c2]-freq[r1-1][c2]-freq[r2][c1-1]+freq[r1-1][c1-1];\n\t}\n\tprivate static class Jolty{\n\t\tstatic final int BASE_SPEED = 130;\n\t\tstatic final int BUFFER_SIZE = 1<<16;\n\t\tstatic final char NULL_CHAR = (char)-1;\n\t\t\n\t\tBufferedInputStream in;\n\t\tStringBuilder str = new StringBuilder();\n\t\tbyte[] buffer = new byte[BUFFER_SIZE];\n\t\t\n\t\tchar c = NULL_CHAR;\n\t\tint bufferIdx = 0, size = 0;\n\t\t\n\t\tpublic Jolty(InputStream in) {\n\t\t\tthis.in = new BufferedInputStream(in,BUFFER_SIZE);\n\t\t}\n\t\tpublic int nextInt() {return (int)nextLong();}\n\t\tpublic double nextDouble() {return Double.parseDouble(next());}\n\t\tpublic long nextLong() {\n\t\t\tlong negative = 0, res = 0;\n\t\t\tif(c==NULL_CHAR)c=nextChar();\n\t\t\tfor(;(c<'0'||c>'9');c=nextChar())\n\t\t\t\tnegative = (c=='-')?1:0;\n\t\t\tfor(;c>='0'&&c<='9';c=nextChar())\n\t\t\t\tres = (res<<3)+(res<<1)+c-'0';\n\t\t\treturn negative==1 ? -res : res;\n\t\t}\n\t\t\n\t\tpublic String nextLine() {\n\t\t\tstr.setLength(0);\n\t\t\tfor(c = c == NULL_CHAR ? nextChar() : c; c!='\\n'; c= nextChar())\n\t\t\t\tstr.append(c);\n\t\t\tc = NULL_CHAR;\n\t\t\treturn str.toString();\n\t\t}\n\t\tpublic String next() {\n\t\t\tfor(c = c == NULL_CHAR ? nextChar() : c; Character.isWhitespace(c);)\n\t\t\t\tc = nextChar();\n\t\t\tstr.setLength(0);\n\t\t\tfor(;!Character.isWhitespace(c);c=nextChar())\n\t\t\t\tstr.append(c);\n\t\t\treturn str.toString();\n\t\t}\n\t\tpublic char nextChar() {\n\t\t\twhile(bufferIdx == size) {\n\t\t\t\ttry{\n\t\t\t\t\tsize = in.read(buffer);\n\t\t\t\t\tif(size == -1)throw new Exception();\n\t\t\t\t} catch (Exception e){}\n\t\t\t\tif(size == -1)size = BUFFER_SIZE;\n\t\t\t\tbufferIdx = 0;\n\t\t\t}\n\t\t\treturn (char) buffer[bufferIdx++];\n\t\t}\n\t}\n}\n", "python": null }
Codeforces/396/A
# On Number of Decompositions into Multipliers You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7). Input The first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109). Output In a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7). Examples Input 1 15 Output 1 Input 3 1 1 2 Output 3 Input 2 5 7 Output 4 Note In the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1. In the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1]. A decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that <image>. Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci.
[ { "input": { "stdin": "1\n15\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n1 1 2\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "2\n5 7\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "3\n8 10 8\n" }, "output": { "stdout": "108\n" } }, { "input": { "stdin": "1\n536870912\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1\n111546435\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\n" }, "output": { "stdout": "176451954\n" } }, { "input": { "stdin": "23\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\n" }, "output": { "stdout": "247701073\n" } }, { "input": { "stdin": "50\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n" }, "output": { "stdout": "18983788\n" } }, { "input": { "stdin": "19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n" }, "output": { "stdout": "376284721\n" } }, { "input": { "stdin": "5\n387420489 536870912 536870912 536870912 387420489\n" }, "output": { "stdout": "255309592\n" } }, { "input": { "stdin": "2\n1 2\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "8\n836 13 77 218 743 530 404 741\n" }, "output": { "stdout": "544714485\n" } }, { "input": { "stdin": "2\n5 10\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "2\n1 6\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1\n1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\n" }, "output": { "stdout": "928377494\n" } }, { "input": { "stdin": "5\n387420489 244140625 387420489 387420489 1\n" }, "output": { "stdout": "772171400\n" } }, { "input": { "stdin": "20\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n" }, "output": { "stdout": "985054761\n" } }, { "input": { "stdin": "2\n536870912 387420489\n" }, "output": { "stdout": "570\n" } }, { "input": { "stdin": "7\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\n" }, "output": { "stdout": "25706464\n" } }, { "input": { "stdin": "10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\n" }, "output": { "stdout": "547239398\n" } }, { "input": { "stdin": "3\n1 1 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n237254761 1 817430153 1 1 1 1 1 90679621 1\n" }, "output": { "stdout": "1000\n" } }, { "input": { "stdin": "5\n14 67 15 28 21\n" }, "output": { "stdout": "459375\n" } }, { "input": { "stdin": "2\n1000000000 1000000000\n" }, "output": { "stdout": "361\n" } }, { "input": { "stdin": "2\n999983 999983\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "3\n1 30 1\n" }, "output": { "stdout": "27\n" } }, { "input": { "stdin": "3\n1 1 39989\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "3\n8 10 6\n" }, "output": { "stdout": "189\n" } }, { "input": { "stdin": "5\n13 67 21 28 21\n" }, "output": { "stdout": "196875\n" } }, { "input": { "stdin": "3\n8 10 9\n" }, "output": { "stdout": "270\n" } }, { "input": { "stdin": "50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n" }, "output": { "stdout": "753806527\n" } }, { "input": { "stdin": "2\n3 10\n" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "3\n1 49 1\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "2\n329497 999983\n" }, "output": { "stdout": "16\n" } }, { "input": { "stdin": "2\n1 5\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "1\n243088005\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1\n634165685\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\n237254761 1 817430153 2 1 1 1 1 90679621 1\n" }, "output": { "stdout": "10000\n" } }, { "input": { "stdin": "2\n329497 164785\n" }, "output": { "stdout": "32\n" } }, { "input": { "stdin": "20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n" }, "output": { "stdout": "627928287\n" } }, { "input": { "stdin": "8\n1522 13 77 218 743 530 404 271\n" }, "output": { "stdout": "403518658\n" } }, { "input": { "stdin": "50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n" }, "output": { "stdout": "687306783\n" } }, { "input": { "stdin": "1\n220265856\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\n1 2 1\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "10\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\n" }, "output": { "stdout": "277438869\n" } }, { "input": { "stdin": "5\n332493834 427918323 387420489 387420489 1\n" }, "output": { "stdout": "246718715\n" } }, { "input": { "stdin": "8\n1522 13 77 218 743 530 404 741\n" }, "output": { "stdout": "526671590\n" } }, { "input": { "stdin": "5\n387420489 536870912 536870912 207197421 387420489\n" }, "output": { "stdout": "464813776\n" } } ]
{ "tags": [ "combinatorics", "math", "number theory" ], "title": "On Number of Decompositions into Multipliers" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int p = 1000000007;\nint binomial(int n, int k, const int& factorial) {\n auto result = factorial;\n for (auto i = 1; i <= k; i++) result = 1LL * result * (n - i + 1) % p;\n return result;\n}\nint main() {\n ios_base::sync_with_stdio(false);\n int n;\n cin >> n;\n int result = 1;\n vector<int> a(n, 0);\n for (auto i = 0; i < n; i++) {\n cin >> a[i];\n }\n map<int, int> count;\n for (auto current : a) {\n for (auto i = 2; i <= current / i; i++)\n while (current % i == 0) {\n count[i] = count[i] + 1;\n current /= i;\n }\n if (current != 1) {\n count[current] = count[current] + 1;\n }\n }\n int inverse[600];\n int factorial = 1;\n inverse[1] = 1;\n for (auto i = 2; i < n; i++) {\n inverse[i] = p - 1LL * p / i * inverse[p % i] % p;\n factorial = 1LL * factorial * inverse[i] % p;\n }\n for (auto i : count)\n result = (1LL * result * binomial(n + i.second - 1, n - 1, factorial)) % p;\n cout << result << endl;\n return 0;\n}\n", "java": "import java.util.PriorityQueue;\nimport java.util.Scanner;\n\n\npublic class Main {\n\n static PriorityQueue<Integer>q = new PriorityQueue<Integer>();\n\n static long[][]memo = new long[25000][500+5];\n static int n;\n public static void main(String[] args) {\n for(int i=0;i<25000;i++)\n {\n for(int j =0;j<500+5;j++)\n {\n memo[i][j] = -1;\n }\n }\n Scanner in = new Scanner (System.in);\n n = in.nextInt();\n int[]input = new int[n];\n \n for(int i=0;i<n;i++)\n {\n input[i] = in.nextInt();\n pF(input[i]);\n }\n\n long ans = 1;\n int last;\n if(!q.isEmpty()){\n last = q.peek();\n }\n while(!q.isEmpty())\n {\n int counter = 0;\n last = q.peek();\n while(!q.isEmpty() && last==q.peek())\n {\n last = q.poll();\n counter++;\n }\n\n ans= (ans *C(n+counter-1,n-1))%1000000007;\n }\n System.out.println(ans);\n in.close();\n\n }\n\n\n public static long C(int up,int k)\n {\n if(up>=0 &&k==0)\n {\n return 1;\n }\n if(up<=0 || k<=0 || k>up)\n {\n return 0;\n }\n if(memo[up][k]!=-1)\n return memo[up][k];\n memo[up][k] =(C(up-1,k-1)%1000000007+C(up-1,k)%1000000007)%1000000007;\n return memo[up][k];\n \n }\n \n \n public static void pF(int N)\n {\n \n while (N%2 == 0)\n {\n q.add(2);\n \n N = N/2;\n }\n \n for (int i = 3; i <= N/i; i = i+2)\n {\n while (N%i == 0)\n {\n N = N/i;\n q.add(i);\n }\n }\n if (N > 2)\n q.add(N);\n \n }\n}\n", "python": "# Design_by_JOKER\nimport math\nimport cmath\n\nMod = 1000000007\n\nMAX = 33000\n\nn = int(input())\n\nA = list(map(int, input().split()))\n\nB = [0] * MAX\n\nbePrime = [0] * MAX;\n\nprimNum = []\n\nC = []\n\nfac = [1]\n\nfor j in range(1, MAX):\n fac.append(fac[-1] * j % Mod)\n\n\ndef calc(M, N):\n return fac[M] * pow(fac[N] * fac[M - N] % Mod, Mod - 2, Mod) % Mod\n\n\nfor j in range(2, MAX):\n\n if bePrime[j] == 0:\n\n primNum.append(j)\n\n i = j\n\n while i < MAX:\n bePrime[i] = 1\n\n i = i + j\n\nfor x in A:\n\n tmp = x\n\n for j in primNum:\n\n while tmp % j == 0:\n tmp /= j\n\n B[j] += 1\n\n if tmp > 1:\n C.append(tmp)\n\nans = 1\n\nfor j in range(2, MAX):\n\n if B[j] > 0:\n ans = ans * calc(n + B[j] - 1, n - 1) % Mod\n\nl = len(C)\n\nfor j in range(0, l):\n\n num = 0;\n\n for k in range(0, l):\n\n if C[k] == C[j]:\n\n num = num + 1\n\n if k > j:\n num = 0\n\n break\n\n if num > 0:\n ans = ans * calc(n + num - 1, n - 1) % Mod\n\nprint(str(ans % Mod))\n" }
Codeforces/418/B
# Cunning Gena A boy named Gena really wants to get to the "Russian Code Cup" finals, or at least get a t-shirt. But the offered problems are too complex, so he made an arrangement with his n friends that they will solve the problems for him. The participants are offered m problems on the contest. For each friend, Gena knows what problems he can solve. But Gena's friends won't agree to help Gena for nothing: the i-th friend asks Gena xi rubles for his help in solving all the problems he can. Also, the friend agreed to write a code for Gena only if Gena's computer is connected to at least ki monitors, each monitor costs b rubles. Gena is careful with money, so he wants to spend as little money as possible to solve all the problems. Help Gena, tell him how to spend the smallest possible amount of money. Initially, there's no monitors connected to Gena's computer. Input The first line contains three integers n, m and b (1 ≤ n ≤ 100; 1 ≤ m ≤ 20; 1 ≤ b ≤ 109) — the number of Gena's friends, the number of problems and the cost of a single monitor. The following 2n lines describe the friends. Lines number 2i and (2i + 1) contain the information about the i-th friend. The 2i-th line contains three integers xi, ki and mi (1 ≤ xi ≤ 109; 1 ≤ ki ≤ 109; 1 ≤ mi ≤ m) — the desired amount of money, monitors and the number of problems the friend can solve. The (2i + 1)-th line contains mi distinct positive integers — the numbers of problems that the i-th friend can solve. The problems are numbered from 1 to m. Output Print the minimum amount of money Gena needs to spend to solve all the problems. Or print -1, if this cannot be achieved. Examples Input 2 2 1 100 1 1 2 100 2 1 1 Output 202 Input 3 2 5 100 1 1 1 100 1 1 2 200 1 2 1 2 Output 205 Input 1 2 1 1 1 1 1 Output -1
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{ "tags": [ "bitmasks", "dp", "greedy", "sortings" ], "title": "Cunning Gena" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int maxn = (1 << 20) + 10;\nlong long dp[maxn];\nstruct NN {\n int x, k, m;\n int ind;\n int sta;\n} nn[110];\nint cmp(NN a, NN b) { return a.k < b.k; }\nint a[110][110];\nint main() {\n int n, m, b, i, j, k;\n scanf(\"%d%d%d\", &n, &m, &b);\n for (i = 1; i <= n; i++) {\n scanf(\"%d%d%d\", &nn[i].x, &nn[i].k, &nn[i].m);\n nn[i].ind = i;\n nn[i].sta = 0;\n for (j = 1; j <= nn[i].m; j++)\n scanf(\"%d\", &a[i][j]), nn[i].sta |= (1 << (a[i][j] - 1));\n }\n sort(nn + 1, nn + 1 + n, cmp);\n memset(dp, -1, sizeof(dp));\n dp[0] = 0;\n long long ans = (1ull << 63) - 1;\n for (i = 1; i <= n; i++) {\n for (j = (1 << m) - 1; j >= 0; j--)\n if (dp[j] >= 0) {\n k = j | nn[i].sta;\n if (dp[k] < 0 || dp[k] > dp[j] + nn[i].x) dp[k] = dp[j] + nn[i].x;\n }\n if (dp[(1 << m) - 1] >= 0 && ans > dp[(1 << m) - 1] + nn[i].k * (b + 0ll))\n ans = dp[(1 << m) - 1] + nn[i].k * (b + 0ll);\n }\n if (ans == (1ull << 63) - 1) ans = -1;\n cout << ans << endl;\n}\n", "java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.InputStreamReader;\nimport java.util.Arrays;\nimport java.util.StringTokenizer;\n\npublic class CunningGena\n{\n\tstatic int[] can, cost;\n\tstatic Pair[] monitor;\n\tstatic int n, m, b;\n\tstatic long inf = (long) 2l * 1000000 * 1000000 * 1000000;\n\n\tpublic static void main(String[] args) throws IOException\n\t{\n\t\tScanner sc = new Scanner(System.in);\n\t\tn = sc.nextInt();\n\t\tm = sc.nextInt();\n\t\tb = sc.nextInt();\n\t\tcan = new int[n];\n\t\tcost = new int[n];\n\t\tmonitor = new Pair[n];\n\t\tlong[] base = new long[n];\n\n\t\tfor (int i = 0; i < n; i++)\n\t\t{\n\t\t\tcost[i] = sc.nextInt();\n\t\t\tmonitor[i] = new Pair(i, sc.nextInt());\n\t\t\tint mi = sc.nextInt();\n\t\t\tint msk = 0;\n\t\t\tfor (int j = 0; j < mi; j++)\n\t\t\t\tmsk |= (1 << (sc.nextInt() - 1));\n\t\t\tcan[i] = msk;\n\t\t\tbase[i] = cost[i] + 1l * monitor[i].m * b;\n\t\t}\n\n\t\tArrays.sort(monitor);\n\t\tdp = new long[2][(1<<m)+1];\n\t\tint p = 0;\n\t\tArrays.fill(dp[p], inf);\n\t\tfor (int ind = n - 1; ind >= 0; ind--)\n\t\t{\n\t\t\tp = 1-p;\n\t\t\tfor (int msk = (1 << m) - 1; msk >= 0; msk--)\n\t\t\t{\n\t\t\t\tint k = monitor[ind].ind;\n\n\t\t\t\tlong ans = dp[1-p][msk];\n\n\t\t\t\tint nwMsk = msk | can[k];\n\n\t\t\t\tif (nwMsk == (1 << m) - 1)\n\t\t\t\t\tans = Math.min(ans, base[k]);\n\t\t\t\telse\n\t\t\t\t\tans = Math.min(ans, cost[k] + dp[1-p][nwMsk]);\n\n\t\t\t\tdp[p][msk] = ans;\n\t\t\t}\n\t\t}\n\t\tSystem.out.println(dp[p][0] >= inf ? -1 : dp[p][0]);\n\t}\n\n\tstatic long[][] dp;\n\n\tstatic class Scanner\n\t{\n\t\tStringTokenizer st;\n\t\tBufferedReader br;\n\n\t\tpublic Scanner(InputStream s)\n\t\t{\n\t\t\tbr = new BufferedReader(new InputStreamReader(s));\n\t\t}\n\n\t\tpublic String next() throws IOException\n\t\t{\n\t\t\twhile (st == null || !st.hasMoreTokens())\n\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\treturn st.nextToken();\n\t\t}\n\n\t\tpublic int nextInt() throws IOException\n\t\t{\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\n\t\tpublic long nextLong() throws IOException\n\t\t{\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\n\t\tpublic String nextLine() throws IOException\n\t\t{\n\t\t\treturn br.readLine();\n\t\t}\n\n\t\tpublic boolean ready() throws IOException\n\t\t{\n\t\t\treturn br.ready();\n\t\t}\n\t}\n\n\tstatic class Pair implements Comparable<Pair>\n\t{\n\t\tint ind, m;\n\n\t\tpublic Pair(int i, int m)\n\t\t{\n\t\t\tind = i;\n\t\t\tthis.m = m;\n\t\t}\n\n\t\tpublic int compareTo(Pair arg0)\n\t\t{\n\t\t\treturn m - arg0.m;\n\t\t}\n\t}\n}\n", "python": null }
Codeforces/444/E
# DZY Loves Planting DZY loves planting, and he enjoys solving tree problems. DZY has a weighted tree (connected undirected graph without cycles) containing n nodes (they are numbered from 1 to n). He defines the function g(x, y) (1 ≤ x, y ≤ n) as the longest edge in the shortest path between nodes x and y. Specially g(z, z) = 0 for every z. For every integer sequence p1, p2, ..., pn (1 ≤ pi ≤ n), DZY defines f(p) as <image>. DZY wants to find such a sequence p that f(p) has maximum possible value. But there is one more restriction: the element j can appear in p at most xj times. Please, find the maximum possible f(p) under the described restrictions. Input The first line contains an integer n (1 ≤ n ≤ 3000). Each of the next n - 1 lines contains three integers ai, bi, ci (1 ≤ ai, bi ≤ n; 1 ≤ ci ≤ 10000), denoting an edge between ai and bi with length ci. It is guaranteed that these edges form a tree. Each of the next n lines describes an element of sequence x. The j-th line contains an integer xj (1 ≤ xj ≤ n). Output Print a single integer representing the answer. Examples Input 4 1 2 1 2 3 2 3 4 3 1 1 1 1 Output 2 Input 4 1 2 1 2 3 2 3 4 3 4 4 4 4 Output 3 Note In the first sample, one of the optimal p is [4, 3, 2, 1].
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{ "tags": [ "binary search", "dsu", "trees" ], "title": "DZY Loves Planting" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\ninline long long read() {\n char ch = getchar();\n long long x = 0, f = 1;\n for (; ch > '9' || ch < '0'; ch = getchar())\n if (ch == '-') f = -1;\n for (; ch >= '0' && ch <= '9'; ch = getchar())\n x = (x << 1) + (x << 3) + ch - '0';\n return x * f;\n}\nstruct bian {\n long long u, v, w;\n} e[100000 + 10];\ninline bool mmp(bian a, bian b) { return a.w < b.w; }\nlong long fa[100000 + 10], size[100000 + 10], val[100000 + 10], n, sum;\ninline long long find(long long x) {\n return fa[x] == x ? x : fa[x] = find(fa[x]);\n}\nsigned main() {\n n = read();\n for (register long long i = 1; i < n; ++i) {\n e[i].u = read(), e[i].v = read(), e[i].w = read();\n }\n for (register long long i = 1; i <= n; ++i) val[i] = read(), sum += val[i];\n for (register long long i = 1; i <= n; ++i) fa[i] = i, size[i] = 1;\n sort(e + 1, e + n, mmp);\n for (register long long i = 1; i < n; ++i) {\n long long fx = find(e[i].u), fy = find(e[i].v);\n fa[fx] = fy;\n size[fy] += size[fx];\n val[fy] += val[fx];\n if (size[fy] > sum - val[fy]) {\n printf(\"%lld\\n\", e[i].w);\n return 0;\n }\n }\n printf(\"%lld\\n\", e[n - 1].w);\n return 0;\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\npublic class DZYLovesPlanting {\n FastScanner in;\n PrintWriter out;\n\n class Edge implements Comparable<Edge> {\n int fr, to, val;\n boolean ok;\n\n Edge(int fr, int to, int val) {\n this.fr = fr;\n this.to = to;\n this.val = val;\n }\n\n @Override\n public int compareTo(Edge o) {\n return Integer.compare(o.val, val);\n }\n }\n\n int[][] dp;\n\n boolean go(int v, int p) {\n dp[0][v] = 1;\n dp[1][v] = count[v];\n for (Edge e : g[v]) {\n int to = e.fr + e.to - v;\n if (to == p)\n continue;\n if (!go(to, v))\n return false;\n if (!e.ok) {\n dp[0][v] += dp[0][to];\n dp[1][v] += dp[1][to];\n }\n }\n return dp[0][v] <= totalCount - dp[1][v];\n }\n\n boolean ok() {\n for (int i = 0; i < 2; i++)\n Arrays.fill(dp[i], 0);\n return go(0, -1);\n }\n\n ArrayList<Edge>[] g;\n int[] count;\n int totalCount;\n\n void solve() {\n int n = in.nextInt();\n Edge[] edges = new Edge[n - 1];\n for (int i = 0; i < n - 1; i++) {\n edges[i] = new Edge(in.nextInt() - 1, in.nextInt() - 1,\n in.nextInt());\n }\n count = new int[n];\n for (int i = 0; i < n; i++) {\n count[i] = in.nextInt();\n totalCount += count[i];\n }\n dp = new int[2][n];\n g = new ArrayList[n];\n for (int i = 0; i < n; i++) {\n g[i] = new ArrayList<>();\n }\n for (int i = 0; i < n - 1; i++) {\n Edge e = edges[i];\n g[e.fr].add(e);\n g[e.to].add(e);\n }\n Arrays.sort(edges);\n for (int i = 0; i < n - 1; i++) {\n edges[i].ok = true;\n if (ok()) {\n out.println(edges[i].val);\n return;\n }\n }\n out.println(0);\n }\n\n void run() {\n try {\n in = new FastScanner(new File(\"CF.in\"));\n out = new PrintWriter(new File(\"CF.out\"));\n\n solve();\n\n out.close();\n } catch (FileNotFoundException e) {\n e.printStackTrace();\n }\n }\n\n void runIO() {\n\n in = new FastScanner(System.in);\n out = new PrintWriter(System.out);\n\n solve();\n\n out.close();\n }\n\n class FastScanner {\n BufferedReader br;\n StringTokenizer st;\n\n public FastScanner(File f) {\n try {\n br = new BufferedReader(new FileReader(f));\n } catch (FileNotFoundException e) {\n e.printStackTrace();\n }\n }\n\n public FastScanner(InputStream f) {\n br = new BufferedReader(new InputStreamReader(f));\n }\n\n String next() {\n while (st == null || !st.hasMoreTokens()) {\n String s = null;\n try {\n s = br.readLine();\n } catch (IOException e) {\n e.printStackTrace();\n }\n if (s == null)\n return null;\n st = new StringTokenizer(s);\n }\n return st.nextToken();\n }\n\n boolean hasMoreTokens() {\n while (st == null || !st.hasMoreTokens()) {\n String s = null;\n try {\n s = br.readLine();\n } catch (IOException e) {\n e.printStackTrace();\n }\n if (s == null)\n return false;\n st = new StringTokenizer(s);\n }\n return true;\n }\n\n int nextInt() {\n return Integer.parseInt(next());\n }\n\n long nextLong() {\n return Long.parseLong(next());\n }\n\n double nextDouble() {\n return Double.parseDouble(next());\n }\n }\n\n public static void main(String[] args) {\n new DZYLovesPlanting().runIO();\n }\n}", "python": "n = int(input())\nedges = [[int(x) for x in input().split()] for i in range(n-1)]\nedges = sorted(edges)\nuse_count = [0]+[int(input()) for i in range(n)]\nlo,hi = 0,10000\ndef getpar(par,u):\n if par[par[u]] == par[u]:\n return par[u]\n par[u] = getpar(par,par[u])\n return par[u]\ndef unite(par,sz,use,u,v):\n u = getpar(par,u)\n v = getpar(par,v)\n par[u] = v\n sz[v] += sz[u]\n use[v] += use[u]\ndef solve(fp):\n par = [i for i in range(n+1)]\n sz = [1 for i in range(n+1)]\n use = [use_count[i] for i in range(n+1)]\n for edge in edges:\n if edge[2] < fp:\n unite(par,sz,use,edge[0],edge[1])\n total_use = sum(use_count)\n for i in range(n+1):\n p = getpar(par,i)\n if(p == i):\n if(total_use - use[p] < sz[p]):\n return False\n return True\nwhile lo < hi:\n mid = (lo+hi+1)//2\n if solve(mid):\n lo = mid\n else:\n hi = mid-1\nprint(lo)\n" }
Codeforces/467/A
# George and Accommodation George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory. George and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex. Input The first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms. The i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity. Output Print a single integer — the number of rooms where George and Alex can move in. Examples Input 3 1 1 2 2 3 3 Output 0 Input 3 1 10 0 10 10 10 Output 2
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"input": { "stdin": "1\n-2 0\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "3\n21 71\n9 95\n1 6\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1\n0 1\n" }, 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4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 30\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n" }, "output": { "stdout": "65\n" } }, { "input": { "stdin": "68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 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{ "tags": [ "implementation" ], "title": "George and Accommodation" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int n, i, j, r, arr[100][2];\n cin >> n;\n for (i = 0; i < n; i++) {\n for (j = 0; j < 2; j++) {\n cin >> arr[i][j];\n }\n }\n r = 0;\n for (i = 0; i < n; i++) {\n if (arr[i][1] - arr[i][0] >= 2) {\n r++;\n }\n }\n cout << r;\n return 0;\n}\n", "java": "import java.util.*;\npublic class room {\n\n\tpublic static void main(String[] args) {\n\t\t// TODO Auto-generated method stub\n\t\tScanner in = new Scanner(System.in);\n\t\tint n = in.nextInt();\n\t\tint x = 0;\n\t\tfor(int i = 0; i < n ; i++) {\n\t\t\tint pi = in.nextInt();\n\t\t\tint qi = in.nextInt();\n\t\t\tif(qi-pi >=2)x++;\n\t\t}\n\t\tin.close();\n\t\tSystem.out.println(x);\n\t}\n\n}\n", "python": "t=int(input())\nc=0\nfor i in range(t):\n a,b=[int(x) for x in input().split()]\n if(a<b and b-a>=2):\n c=c+1\nprint(c)\n" }
Codeforces/48/D
# Permutations A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not. There are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible. Input The first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105. Output If this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free. If several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1. Examples Input 9 1 2 3 1 2 1 4 2 5 Output 3 3 1 2 1 2 2 2 3 2 Input 4 4 3 2 1 Output 1 1 1 1 1 Input 4 1 2 2 3 Output -1 Note In the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible.
[ { "input": { "stdin": "9\n1 2 3 1 2 1 4 2 5\n" }, "output": { "stdout": "3\n1 1 1 2 2 3 1 3 1 " } }, { "input": { "stdin": "4\n4 3 2 1\n" }, "output": { "stdout": "1\n1 1 1 1 " } }, { "input": { "stdin": "4\n1 2 2 3\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "2\n1000 1\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "5\n2 2 1 1 3\n" }, "output": { "stdout": "2\n1 2 1 2 1 " } }, { "input": { "stdin": "100\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\n" }, "output": { "stdout": "20\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 " } }, { "input": { "stdin": "50\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n" }, "output": { "stdout": "25\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 " } }, { "input": { "stdin": "3\n2 1 1\n" }, "output": { "stdout": "2\n1 1 2 " } }, { "input": { "stdin": "1\n1\n" }, "output": { "stdout": "1\n1 " } }, { "input": { "stdin": "9\n1 2 3 1 2 1 4 2 5\n" }, "output": { "stdout": "3\n1 1 1 2 2 3 1 3 1 " } }, { "input": { "stdin": "20\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "6\n3 3 2 2 1 1\n" }, "output": { "stdout": "2\n1 2 1 2 1 2 " } }, { "input": { "stdin": "20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\n" }, "output": { "stdout": "3\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 " } }, { "input": { "stdin": "30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\n" }, "output": { "stdout": "3\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 " } }, { "input": { "stdin": "20\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\n" }, "output": { "stdout": "6\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 " } }, { "input": { "stdin": "30\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "10\n4 1 2 1 3 3 1 2 2 1\n" }, "output": { "stdout": "4\n1 1 1 2 1 2 3 2 3 4 " } }, { "input": { "stdin": "10\n1 2 5 1 1 1 4 1 3 2\n" }, "output": { "stdout": "5\n1 1 1 2 3 4 1 5 1 2 " } }, { "input": { "stdin": "2\n100000 1\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n" }, "output": { "stdout": "41\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 " } }, { "input": { "stdin": "10\n2 2 6 3 1 4 5 3 7 7\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "1\n2\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\n" }, "output": { "stdout": "7\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 " } }, { "input": { "stdin": "100\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n" }, "output": { "stdout": "12\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 " } }, { "input": { "stdin": "20\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\n" }, "output": { "stdout": "2\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 " } }, { "input": { "stdin": "30\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\n" }, "output": { "stdout": "8\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 " } }, { "input": { "stdin": "10\n2 1 2 4 6 1 5 3 7 1\n" }, "output": { "stdout": "3\n1 1 2 1 1 2 1 1 1 3 " } }, { "input": { "stdin": "100\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\n" }, "output": { "stdout": "10\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 " } }, { "input": { "stdin": "30\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\n" }, "output": { "stdout": "12\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 " } }, { "input": { "stdin": "5\n1 1 1 1 1\n" }, "output": { "stdout": "5\n1 2 3 4 5 " } }, { "input": { "stdin": "2\n1000 2\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n6 1 3 1 4 3 1 2 2 1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "3\n4 1 1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "20\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "20\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "1\n6\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10\n1 2 5 1 1 1 4 1 1 2\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "1\n3\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "9\n1 8 3 1 2 2 4 3 5\n" }, "output": { "stdout": "-1\n" } } ]
{ "tags": [ "greedy" ], "title": "Permutations" }
{ "cpp": "#include <bits/stdc++.h>\nint main() {\n int a[100010], k[100010], i, n;\n memset(k, 0, sizeof(int) * 100010);\n scanf(\"%d\", &n);\n for (i = 0; i < n; i++) {\n scanf(\"%d\", &a[i]);\n k[a[i] - 1]++;\n }\n for (i = 0; i < 100010 - 1; i++) {\n if (k[i] < k[i + 1]) {\n printf(\"-1\");\n return 0;\n }\n }\n printf(\"%d\\n\", k[0]);\n for (i = 0; i < n; i++) {\n printf(\"%d \", k[a[i] - 1]);\n k[a[i] - 1]--;\n }\n return 0;\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\npublic class D{\n\n\tpublic static void main(String[] args) throws IOException {\n\t\tnew D().read();\n\t}\n\tint cnt;\n\tpublic void read() throws IOException{\n\t\tBufferedReader in = new BufferedReader(new InputStreamReader(System.in));\n\t\tStringTokenizer st;\n\t\tint n,i,num;\n\t\tn = Integer.parseInt(in.readLine());\n\t\tst = new StringTokenizer(in.readLine());\n\t\tHashMap<Integer, Stack<Integer>> map = new HashMap<Integer, Stack<Integer>>();\n\t\tTreeSet<Integer> set = new TreeSet<Integer>();\n\t\tStack<Integer> stack;\n\t\tfor(i = 0; i < n; i++){\n\t\t\tnum = Integer.parseInt(st.nextToken());\n\t\t\tif(!map.containsKey(num)){\n\t\t\t\tstack = new Stack<Integer>();\n\t\t\t\tstack.push(i);\n\t\t\t\tmap.put(num, stack);\n\t\t\t\tset.add(num);\n\t\t\t}else{\n\t\t\t\tstack = map.get(num);\n\t\t\t\tstack.push(i);\n\t\t\t\tmap.put(num, stack);\n\t\t\t}\n\t\t}\n\n\t\tString[]ans = solve(map, set, n);\n\t\tif(ans.length == 0) System.out.println(-1);\n\t\telse{\n\t\t\tSystem.out.println(cnt);\n\t\t\tSystem.out.print(ans[0]);\n\t\t\tfor(i = 1; i < n; i++) System.out.print(\" \"+ans[i]);\n\t\t\tSystem.out.println();\n\t\t}\n\t}\n\n\tString[] solve(HashMap<Integer, Stack<Integer>> map, TreeSet<Integer> set, int n){\n\t\tString[]ans = new String[n];\n\t\tboolean end = false;\n\t\tint prev,numPerms = 0,curr,id;\n\t\tTreeSet<Integer> secondset;\n\t\tStack<Integer> stack;\n\t\twhile(!end && !set.isEmpty()){\n\t\t\tsecondset = new TreeSet<Integer>();\n\t\t\tprev = set.last() + 1;\n\t\t\tnumPerms++;\n\t\t\tcnt = numPerms;\n\t\t\twhile(!set.isEmpty() && !end){\t\t\t\t\n\t\t\t\tcurr = set.pollLast();\n\t\t\t\tif(curr +1 != prev){\n\t\t\t\t\tend = true;\n\t\t\t\t}else{\n\t\t\t\t\tprev = curr;\n\t\t\t\t\tstack = map.get(curr);\n\t\t\t\t\tid = stack.pop();\n\t\t\t\t\tans[id] = \"\"+numPerms; \n\t\t\t\t\tif(!stack.isEmpty()){\n\t\t\t\t\t\tsecondset.add(curr);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tset = secondset;\n\t\t\tif(!end && prev != 1) end = true;\n\t\t}\n\t\tif(end) ans = new String[0];\n\t\treturn ans;\n\t}\n}\n", "python": "#Code by Sounak, IIESTS\n#------------------------------warmup----------------------------\n\nimport os\nimport sys\nimport math\nfrom io import BytesIO, IOBase\nfrom fractions import Fraction\nfrom collections import defaultdict\n \n\nBUFSIZE = 8192\n \n \nclass FastIO(IOBase):\n newlines = 0\n \n def __init__(self, file):\n self._fd = file.fileno()\n self.buffer = BytesIO()\n self.writable = \"x\" in file.mode or \"r\" not in file.mode\n self.write = self.buffer.write if self.writable else None\n \n def read(self):\n while True:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n if not b:\n break\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines = 0\n return self.buffer.read()\n \n def readline(self):\n while self.newlines == 0:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.newlines = b.count(b\"\\n\") + (not b)\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines -= 1\n return self.buffer.readline()\n \n def flush(self):\n if self.writable:\n os.write(self._fd, self.buffer.getvalue())\n self.buffer.truncate(0), self.buffer.seek(0)\n \n \nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n self.write = lambda s: self.buffer.write(s.encode(\"ascii\"))\n self.read = lambda: self.buffer.read().decode(\"ascii\")\n self.readline = lambda: self.buffer.readline().decode(\"ascii\")\n \nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\n\n#-------------------game starts now-----------------------------------------------------\nn=int(input())\na=list(map(int,input().split()))\nme=max(a)\nd=dict()\nfor i in a:\n if i in d:\n d[i]+=1\n else:\n d[i]=1\nch=1\nfor i in range (me-1,0,-1):\n if i not in d or i+1 not in d or d[i]<d[i+1]:\n ch=0\n break\nif ch==0:\n print(-1)\nelse:\n prev=0\n count=0\n r=[1]*(me+1)\n for i in range (me,0,-1):\n ct=d[i]-prev\n count+=ct\n prev=d[i]\n b=list()\n for i in a:\n b.append(r[i])\n r[i]+=1\n print(count)\n print(*b)" }
Codeforces/513/F1
# Scaygerboss Cthulhu decided to catch Scaygerboss. Scaygerboss found it out and is trying to hide in a pack of his scaygers. Each scayger except Scaygerboss is either a male or a female. Scaygerboss's gender is "other". Scaygers are scattered on a two-dimensional map divided into cells. A scayger looks nerdy and loveable if it is staying in the same cell with exactly one scayger of a gender that is different from its own gender. Cthulhu will not be able to catch Scaygerboss if all the scaygers on the map look nerdy and loveable. The scaygers can move around at different speeds. For each scayger, we are given the time it takes this scayger to move from a cell to an adjacent cell. Cells are adjacent if they share a common side. At any point of time, each cell that does not contain an obstacle can be occupied by an arbitrary number of scaygers. Scaygers cannot move to cells with obstacles. Calculate minimal time in order to make all scaygers look nerdy and loveable if they move optimally toward this goal. Input The first line contains 4 integers: n, m, males, females (0 ≤ males, females ≤ n·m). n and m are dimensions of the map; males and females are numbers of male scaygers and female scaygers. Next n lines describe the map. Each of these lines contains m characters. Character '.' stands for a free cell; character '#' stands for a cell with an obstacle. The next line contains 3 integers r, c, and t (1 ≤ r ≤ n, 1 ≤ c ≤ m, 1 ≤ t ≤ 109): the current coordinates of Scaygerboss and the time it takes Scaygerboss to move to an adjacent cell. The next males lines contain coordinates and times of male scaygers in the same format as for Scaygerboss. The next females lines contain coordinates and times of female scaygers in the same format as for Scaygerboss. (The coordinates and times adhere to the same limits as for Scaygerboss.) All scaygers reside in cells without obstacles. The problem consists of two subproblems. The subproblems have different constraints on the input. You will get some score for the correct submission of the subproblem. The description of the subproblems follows. * In subproblem F1 (14 points), the constraints 1 ≤ n, m ≤ 11 will hold. * In subproblem F2 (6 points), the constraints 1 ≤ n, m ≤ 22 will hold. Output Output the minimum possible time it takes to make all scaygers look nerdy and loveable or -1 if it is impossible. Examples Input 4 4 2 3 .... .### #### #### 2 1 1 2 1 2 2 1 2 2 1 2 2 1 2 1 1 2 Output 2 Input 2 4 2 2 .... .### 2 1 1 2 1 2 2 1 2 2 1 2 2 1 2 Output -1 Note Consider the first sample test. The scaygers are hiding on a 4 by 4 map. Scaygerboss initially resides in the cell (2, 1) and can move between cells in 1 unit of time. There are also 2 male and 3 female scaygers on the map. One of the females initially is in the cell (1, 1), and all the other scaygers are in the cell (2, 1). All the scaygers move between cells in 2 units of time. If Scaygerboss and the female scayger from the cell (1, 1) move to the cell (1, 2), and a male and a female scayger from those residing in the cell (2, 1) move to the cell (1, 1), then all the scaygers will look nerdy and lovable in 2 units of time.
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{ "tags": [ "flows" ], "title": "Scaygerboss" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\ntemplate <class T>\nT inline sqr(T x) {\n return x * x;\n}\nconst long double pi = 3.1415926535897932384626433832795;\nconst long double eps = 1e-8;\nconst int maxn = 1050;\nconst int inf = 1e9;\nstruct Edge {\n int to, cap, fl;\n Edge(int to, int cap, int fl) : to(to), cap(cap), fl(fl) {}\n};\nvector<Edge> edges;\nvector<int> g[maxn];\nint d[maxn], p[maxn], q[maxn];\nvoid addedge(int from, int to, int cap = 1) {\n g[from].push_back(edges.size());\n edges.push_back(Edge(to, cap, 0));\n g[to].push_back(edges.size());\n edges.push_back(Edge(from, 0, 0));\n}\nbool dfs(int v, int fin, int lim) {\n if (v == fin) return true;\n while (p[v] < (int)g[v].size()) {\n int num = g[v][p[v]];\n Edge ed = edges[num];\n if (d[ed.to] == d[v] + 1 && ed.cap - ed.fl >= lim) {\n if (dfs(ed.to, fin, lim)) {\n edges[num].fl += lim;\n edges[num ^ 1].fl -= lim;\n return true;\n }\n }\n p[v]++;\n }\n return false;\n}\nvoid bfs(int st, int lim, int n) {\n fill(d, d + n + 1, inf);\n q[0] = st;\n d[st] = 0;\n int head = 0, tail = 1;\n while (head < tail) {\n int v = q[head++];\n for (int i = 0; i < (int)(g[v].size()); ++i) {\n Edge ed = edges[g[v][i]];\n if (ed.cap - ed.fl >= lim && d[ed.to] > d[v] + 1) {\n d[ed.to] = d[v] + 1;\n q[tail++] = ed.to;\n }\n }\n }\n}\nint calcFlow(int n, int st, int fin) {\n int lim = 1e9, ans = 0;\n while (lim) {\n while (true) {\n bfs(st, lim, n);\n if (d[fin] == inf) break;\n fill(p, p + n + 1, 0);\n while (dfs(st, fin, lim)) ans += lim;\n }\n lim /= 2;\n }\n return ans;\n}\nint SG = 0;\nvoid init() {\n SG = 0;\n for (int i = 0; i < (int)(maxn); ++i) g[i].clear();\n edges.clear();\n}\nint newV() { return SG++; }\nconst int N = 30;\nchar field[N][N];\nconst int NDIR = 4;\nconst int di[4] = {0, 1, 0, -1};\nconst int dj[4] = {1, 0, -1, 0};\nint a[N * N][3];\nint b[N * N][3];\nvector<vector<int> > dist[N][N];\nint n, m;\nvector<vector<int> > bfs(int i, int j) {\n vector<vector<int> > d(n + 1, vector<int>(m + 1, inf));\n queue<pair<int, int> > q;\n q.push(make_pair(i, j));\n d[i][j] = 0;\n while (!q.empty()) {\n pair<int, int> cur = q.front();\n q.pop();\n for (int dir = 0; dir < (int)(NDIR); ++dir) {\n pair<int, int> nex(cur.first + di[dir], cur.second + dj[dir]);\n if (field[nex.first][nex.second] && d[nex.first][nex.second] == inf) {\n d[nex.first][nex.second] = d[cur.first][cur.second] + 1;\n q.push(nex);\n }\n }\n }\n return d;\n}\nint q0, q1;\nint cells[N][N][2];\nbool can(long long T0) {\n assert(q0 == q1);\n init();\n for (int i = 1; i <= (int)(n); ++i)\n for (int j = 1; j <= (int)(m); ++j) {\n for (int t = 0; t < (int)(2); ++t) cells[i][j][t] = newV();\n addedge(cells[i][j][0], cells[i][j][1]);\n }\n int st = newV();\n int fin = newV();\n for (int t = 0; t < (int)(q0); ++t) {\n int cur = newV();\n addedge(st, cur);\n long long s = T0 / a[t][2];\n int i0 = a[t][0], j0 = a[t][1];\n for (int i = 1; i <= (int)(n); ++i)\n for (int j = 1; j <= (int)(m); ++j)\n if (dist[i0][j0][i][j] != inf && dist[i0][j0][i][j] <= s)\n addedge(cur, cells[i][j][0]);\n }\n for (int t = 0; t < (int)(q1); ++t) {\n int cur = newV();\n long long s = T0 / b[t][2];\n int i0 = b[t][0], j0 = b[t][1];\n for (int i = 1; i <= (int)(n); ++i)\n for (int j = 1; j <= (int)(m); ++j)\n if (dist[i0][j0][i][j] != inf && dist[i0][j0][i][j] <= s)\n addedge(cells[i][j][1], cur);\n addedge(cur, fin);\n }\n int f = calcFlow(SG, st, fin);\n return (f == q0);\n}\nint main() {\n cin >> n >> m >> q0 >> q1;\n for (int i = 1; i <= (int)(n); ++i)\n for (int j = 1; j <= (int)(m); ++j) {\n char c;\n cin >> c;\n field[i][j] = (c == '.');\n }\n if (abs(q0 - q1) != 1) {\n cout << \"-1\\n\";\n return 0;\n }\n if (q0 == q1 + 1) {\n for (int i = 0; i < (int)(3); ++i) cin >> b[q1][i];\n } else {\n for (int i = 0; i < (int)(3); ++i) cin >> a[q0][i];\n }\n for (int i = 0; i < (int)(q0); ++i)\n for (int j = 0; j < (int)(3); ++j) cin >> a[i][j];\n for (int i = 0; i < (int)(q1); ++i)\n for (int j = 0; j < (int)(3); ++j) cin >> b[i][j];\n if (q0 == q1 + 1)\n q1++;\n else\n q0++;\n for (int i = 1; i <= (int)(n); ++i)\n for (int j = 1; j <= (int)(m); ++j)\n if (field[i][j]) dist[i][j] = bfs(i, j);\n long long l = -1, r = 1e18;\n if (!can(r)) {\n cout << \"-1\" << endl;\n return 0;\n }\n while (l + 1 < r) {\n long long mid = (l + r) / 2;\n if (can(mid))\n r = mid;\n else\n l = mid;\n }\n cout << r << endl;\n return 0;\n}\n", "java": "import java.util.List;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.util.Arrays;\nimport java.util.InputMismatchException;\nimport java.util.ArrayList;\nimport java.io.BufferedReader;\nimport java.io.OutputStream;\nimport java.io.PrintWriter;\nimport java.io.Reader;\nimport java.io.Writer;\nimport java.util.Collections;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n * @author Niyaz Nigmatullin\n */\npublic class Main {\n\tpublic static void main(String[] args) {\n\t\tInputStream inputStream = System.in;\n\t\tOutputStream outputStream = System.out;\n\t\tFastScanner in = new FastScanner(inputStream);\n\t\tFastPrinter out = new FastPrinter(outputStream);\n\t\tTaskF1 solver = new TaskF1();\n\t\tsolver.solve(1, in, out);\n\t\tout.close();\n\t}\n}\n\nclass TaskF1 {\n public void solve(int testNumber, FastScanner in, FastPrinter out) {\n int n = in.nextInt();\n int m = in.nextInt();\n int males = in.nextInt();\n int females = in.nextInt();\n char[][] c = in.readCharacterFieldTokens(n, m);\n if (males + 1 != females && females + 1 != males) {\n out.println(-1);\n return;\n }\n List<Creature> man = new ArrayList<>();\n List<Creature> woman = new ArrayList<>();\n Creature boss = new Creature(in.nextInt() - 1, in.nextInt() - 1, in.nextInt());\n if (males + 1 == females) {\n man.add(boss);\n } else {\n woman.add(boss);\n }\n for (int i = 0; i < males; i++) {\n man.add(new Creature(in.nextInt() - 1, in.nextInt() - 1, in.nextInt()));\n }\n for (int i = 0; i < females; i++) {\n woman.add(new Creature(in.nextInt() - 1, in.nextInt() - 1, in.nextInt()));\n }\n DinicGraph g = new DinicGraph(2 + man.size() + woman.size() + n * m * 2);\n int[][] a = new int[n * m][n * m];\n for (int[] e : a) {\n Arrays.fill(e, Integer.MAX_VALUE);\n }\n for (int i = 0; i < n * m; i++) a[i][i] = 0;\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < m; j++) {\n if (c[i][j] == '#') continue;\n for (int dx = -1; dx <= 1; dx++) {\n for (int dy = -1; dy <= 1; dy++) {\n if (Math.abs(dx) + Math.abs(dy) != 1) continue;\n int x = i + dx;\n int y = j + dy;\n if (x < 0 || y < 0 || x >= n || y >= m || c[x][y] == '#') continue;\n a[i * m + j][x * m + y] = 1;\n }\n }\n }\n }\n for (int k = 0; k < a.length; k++) {\n int[] ak = a[k];\n for (int i = 0; i < a.length; i++) {\n int[] ai = a[i];\n for (int j = 0; j < a.length; j++) {\n int first = ai[k];\n int second = ak[j];\n if (first != Integer.MAX_VALUE && second != Integer.MAX_VALUE) {\n ai[j] = Math.min(ai[j], first + second);\n }\n }\n }\n }\n DinicGraph.Edge[][][] manEdges = new DinicGraph.Edge[n][m][man.size()];\n DinicGraph.Edge[][][] womanEdges = new DinicGraph.Edge[n][m][woman.size()];\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < m; j++) {\n if (c[i][j] == '#') continue;\n g.addEdge(i * m + j, i * m + j + n * m, 1);\n for (int k = 0; k < man.size(); k++) {\n Creature cr = man.get(k);\n if (a[i * m + j][cr.x * m + cr.y] == Integer.MAX_VALUE) continue;\n manEdges[i][j][k] = g.addEdge(2 * n * m + k, i * m + j, 1);\n }\n for (int k = 0; k < woman.size(); k++) {\n Creature cr = woman.get(k);\n if (a[i * m + j][cr.x * m + cr.y] == Integer.MAX_VALUE) continue;\n womanEdges[i][j][k] = g.addEdge(i * m + j + n * m, 2 * n * m + man.size() + k, 1);\n }\n }\n }\n if (man.size() != woman.size()) throw new AssertionError();\n int src = n * m * 2 + man.size() + woman.size();\n int tar = src + 1;\n for (int k = 0; k < man.size(); k++) {\n g.addEdge(src, 2 * n * m + k, 1);\n }\n for (int k = 0; k < woman.size(); k++) {\n g.addEdge(2 * n * m + man.size() + k, tar, 1);\n }\n if (g.getMaxFlow(src, tar) != man.size()) {\n out.println(-1);\n return;\n }\n g.clear();\n long l = -1;\n long r = 1L << 40;\n long lastFlow = 0;\n while (l < r - 1) {\n long mid = l + r >> 1;\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < m; j++) {\n if (c[i][j] == '#') continue;\n DinicGraph.Edge[] cur = manEdges[i][j];\n for (int k = 0; k < man.size(); k++) {\n Creature cr = man.get(k);\n int val = a[i * m + j][cr.x * m + cr.y];\n if (val == Integer.MAX_VALUE) {\n continue;\n }\n if ((long) val * cr.speed <= mid) {\n cur[k].cap = 1;\n } else {\n cur[k].cap = 0;\n }\n }\n cur = womanEdges[i][j];\n for (int k = 0; k < woman.size(); k++) {\n Creature cr = woman.get(k);\n int val = a[i * m + j][cr.x * m + cr.y];\n if (val == Integer.MAX_VALUE) {\n continue;\n }\n if ((long) val * cr.speed <= mid) {\n cur[k].cap = 1;\n } else {\n cur[k].cap = 0;\n }\n }\n }\n }\n long curFlow = g.getMaxFlow(src, tar) + lastFlow;\n if (curFlow == man.size()) {\n r = mid;\n g.clear();\n lastFlow = 0;\n } else {\n l = mid;\n lastFlow = curFlow;\n }\n }\n out.println(r);\n }\n\n static class Creature {\n int x;\n int y;\n int speed;\n\n Creature(int x, int y, int speed) {\n this.x = x;\n this.y = y;\n this.speed = speed;\n }\n }\n}\n\nclass FastScanner extends BufferedReader {\n\n public FastScanner(InputStream is) {\n super(new InputStreamReader(is));\n }\n\n public int read() {\n try {\n int ret = super.read();\n// if (isEOF && ret < 0) {\n// throw new InputMismatchException();\n// }\n// isEOF = ret == -1;\n return ret;\n } catch (IOException e) {\n throw new InputMismatchException();\n }\n }\n\n public String next() {\n StringBuilder sb = new StringBuilder();\n int c = read();\n while (isWhiteSpace(c)) {\n c = read();\n }\n if (c < 0) {\n return null;\n }\n while (c >= 0 && !isWhiteSpace(c)) {\n sb.appendCodePoint(c);\n c = read();\n }\n return sb.toString();\n }\n\n static boolean isWhiteSpace(int c) {\n return c >= 0 && c <= 32;\n }\n\n public int nextInt() {\n int c = read();\n while (isWhiteSpace(c)) {\n c = read();\n }\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n int ret = 0;\n while (c >= 0 && !isWhiteSpace(c)) {\n if (c < '0' || c > '9') {\n throw new NumberFormatException(\"digit expected \" + (char) c\n + \" found\");\n }\n ret = ret * 10 + c - '0';\n c = read();\n }\n return ret * sgn;\n }\n\n public String readLine() {\n try {\n return super.readLine();\n } catch (IOException e) {\n return null;\n }\n }\n\n public char[][] readCharacterFieldTokens(int n, int m) {\n char[][] ret = new char[n][];\n for (int i = 0; i < n; i++) {\n ret[i] = next().toCharArray();\n if (ret[i].length != m) {\n throw new AssertionError(\"length expected \" + m + \", found \" + ret[i].length);\n }\n }\n return ret;\n }\n\n}\n\nclass FastPrinter extends PrintWriter {\n\n public FastPrinter(OutputStream out) {\n super(out);\n }\n\n public FastPrinter(Writer out) {\n super(out);\n }\n\n\n}\n\nclass DinicGraph {\n\n public static class Edge {\n public int from;\n public int to;\n public int flow;\n public int cap;\n public Edge rev;\n\n public Edge(int from, int to, int flow, int cap) {\n super();\n this.from = from;\n this.to = to;\n this.flow = flow;\n this.cap = cap;\n }\n\n }\n\n public ArrayList<Edge>[] edges;\n int[] cur;\n int[] q;\n public int[] d;\n int n;\n\n public DinicGraph(int n) {\n edges = new ArrayList[n];\n this.n = n;\n for (int i = 0; i < edges.length; i++) {\n edges[i] = new ArrayList<Edge>();\n }\n q = new int[n];\n d = new int[n];\n cur = new int[n];\n }\n\n public Edge addEdge(int from, int to, int cap) {\n Edge e1 = new Edge(from, to, 0, cap);\n Edge e2 = new Edge(to, from, 0, 0);\n e1.rev = e2;\n e2.rev = e1;\n edges[from].add(e1);\n edges[to].add(e2);\n return e1;\n }\n\n boolean bfs(int source, int target) {\n int head = 0;\n int tail = 1;\n Arrays.fill(d, Integer.MAX_VALUE);\n d[source] = 0;\n q[0] = source;\n while (head < tail) {\n int x = q[head++];\n for (int i = 0; i < edges[x].size(); i++) {\n Edge e = edges[x].get(i);\n if (e.cap - e.flow > 0 && d[e.to] == Integer.MAX_VALUE) {\n d[e.to] = d[x] + 1;\n q[tail++] = e.to;\n if (e.to == target) {\n return true;\n }\n }\n }\n }\n return false;\n }\n\n public int dfs(int x, int target, int cMin) {\n if (x == target) {\n return cMin;\n }\n for (int i = cur[x]; i < edges[x].size(); cur[x] = ++i) {\n Edge e = edges[x].get(i);\n if (d[e.to] != d[x] + 1 || e.cap - e.flow == 0) {\n continue;\n }\n int add = dfs(e.to, target, Math.min(cMin, e.cap - e.flow));\n if (add == 0) {\n continue;\n }\n e.flow += add;\n e.rev.flow -= add;\n return add;\n }\n return 0;\n }\n\n public long getMaxFlow(int source, int target) {\n long flow = 0;\n while (bfs(source, target)) {\n Arrays.fill(cur, 0);\n while (true) {\n int add = dfs(source, target, Integer.MAX_VALUE);\n if (add == 0) {\n break;\n }\n flow += add;\n }\n }\n return flow;\n }\n\n public void clear() {\n for (List<Edge> f : edges) {\n for (Edge e : f) {\n e.flow = 0;\n }\n }\n }\n\n\n}\n\n", "python": null }
Codeforces/53/B
# Blog Photo One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height. Input The first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels. Output Print two integers which are the height and width of the cut area. Examples Input 2 1 Output 1 1 Input 2 2 Output 2 2 Input 5 5 Output 5 4
[ { "input": { "stdin": "2 1\n" }, "output": { "stdout": "1 1" } }, { "input": { "stdin": "2 2\n" }, "output": { "stdout": "2 2" } }, { "input": { "stdin": "5 5\n" }, "output": { "stdout": "5 4" } }, { "input": { "stdin": "15 13\n" }, "output": { "stdout": "10 8" } }, { "input": { "stdin": "9 10\n" }, "output": { "stdout": "8 10" } }, { "input": { "stdin": "47 46\n" }, "output": { "stdout": "40 32" } }, { "input": { "stdin": "49829224 49889315\n" }, "output": { "stdout": "41943040 33554432" } }, { "input": { "stdin": "483242 484564\n" }, "output": { "stdout": "327680 262144" } }, { "input": { "stdin": "644590722 593296648\n" }, "output": { "stdout": "644590722 536870912" } }, { "input": { "stdin": "971840165 826141527\n" }, "output": { "stdout": "671088640 536870912" } }, { "input": { "stdin": "49728622 49605627\n" }, "output": { "stdout": "41943040 33554432" } }, { "input": { "stdin": "99692141 99232337\n" }, "output": { "stdout": "83886080 67108864" } }, { "input": { "stdin": "48298903 49928606\n" }, "output": { "stdout": "41943040 33554432" } }, { "input": { "stdin": "792322809 775058858\n" }, "output": { "stdout": "671088640 536870912" } }, { "input": { "stdin": "998557701 924591072\n" }, "output": { "stdout": "671088640 536870912" } }, { "input": { "stdin": "939 887\n" }, "output": { "stdout": "640 512" } }, { "input": { "stdin": "9909199 9945873\n" }, "output": { "stdout": "8388608 9945873" } }, { "input": { "stdin": "39271 49032\n" }, "output": { "stdout": "32768 40960" } }, { "input": { "stdin": "1000000000 1000000000\n" }, "output": { "stdout": "671088640 536870912" } }, { "input": { "stdin": "49934587 49239195\n" }, "output": { "stdout": "41943040 33554432" } }, { "input": { "stdin": "4774 4806\n" }, "output": { "stdout": "4096 4806" } }, { "input": { "stdin": "944976601 976175854\n" }, "output": { "stdout": "671088640 536870912" } }, { "input": { "stdin": "4939191 4587461\n" }, "output": { "stdout": "4939191 4194304" } }, { "input": { "stdin": "99 100\n" }, "output": { "stdout": "80 64" } }, { "input": { "stdin": "48945079 49798393\n" }, "output": { "stdout": "41943040 33554432" } }, { "input": { "stdin": "49874820 49474021\n" }, "output": { "stdout": "41943040 33554432" } }, { "input": { "stdin": "6 5\n" }, "output": { "stdout": "5 4\n" } }, { "input": { "stdin": "110 110\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "1000000001 1010000000\n" }, "output": { "stdout": "671088640 536870912\n" } }, { "input": { "stdin": "52750015 61793242\n" }, "output": { "stdout": "41943040 33554432\n" } }, { "input": { "stdin": "47 56\n" }, "output": { "stdout": "40 32\n" } }, { "input": { "stdin": "1010000001 1010000000\n" }, "output": { "stdout": "671088640 536870912\n" } }, { "input": { "stdin": "111 101\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "1010000001 1000001001\n" }, "output": { "stdout": "671088640 536870912\n" } }, { "input": { "stdin": "57455132 54832111\n" }, "output": { "stdout": "41943040 33554432\n" } }, { "input": { "stdin": "101 101\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "111 111\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "47 54\n" }, "output": { "stdout": "40 32\n" } }, { "input": { "stdin": "1011000000 1010001000\n" }, "output": { "stdout": "671088640 536870912\n" } }, { "input": { "stdin": "4939191 4455370\n" }, "output": { "stdout": "4939191 4194304\n" } }, { "input": { "stdin": "1010000000 1000000001\n" }, "output": { "stdout": "671088640 536870912\n" } }, { "input": { "stdin": "1011000000 1011001000\n" }, "output": { "stdout": "671088640 536870912\n" } }, { "input": { "stdin": "57455132 49239195\n" }, "output": { "stdout": "41943040 33554432\n" } }, { "input": { "stdin": "101 100\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "1010000000 1001000010\n" }, "output": { "stdout": "671088640 536870912\n" } }, { "input": { "stdin": "40344417 49605627\n" }, "output": { "stdout": "33554432 41943040\n" } }, { "input": { "stdin": "100 110\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "111 100\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "100 101\n" }, "output": { "stdout": "80 64\n" } }, { "input": { "stdin": "1011000000 1010001010\n" }, "output": { "stdout": "671088640 536870912\n" } } ]
{ "tags": [ "binary search", "implementation" ], "title": "Blog Photo" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nlong long w, h, cur = 2147483648;\nbool f(string s) {\n string a, b;\n a.substr(0, s.size() / 2);\n b.substr(s.size() / 2, s.size() / 2);\n if (a == b) {\n return 1;\n } else\n return 0;\n}\nint main() {\n cin >> h >> w;\n double wid = min(h, w);\n while (wid < cur) {\n cur *= 0.5;\n }\n wid = cur;\n double hei = wid;\n int mx = max(h, w);\n while (((hei + 1) / wid) <= 1.25 && ((hei + 1) <= mx)) {\n hei++;\n }\n if (wid > w || hei > h) {\n int ad = wid;\n wid = hei;\n hei = ad;\n }\n cout << (int)hei << \" \" << (int)wid;\n return 0;\n}\n", "java": "\nimport java.io.BufferedReader;\nimport java.io.FileInputStream;\nimport java.io.FileNotFoundException;\nimport java.io.FileOutputStream;\nimport java.io.InputStream;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\n\npublic class Main {\n\t// 10:28 ~ \n\tpublic static void main(String[] arg) {\n\t\tFastScanner scan = null;\n\t\tPrintWriter out = null;\n\t\ttry{\n\t\t\tscan = new FastScanner(new FileInputStream(\"input.txt\"));\n\t\t\tout = new PrintWriter(new FileOutputStream(\"output.txt\"));\n\t\t}catch(FileNotFoundException e){\n\t\t\tscan = new FastScanner(System.in);\n\t\t\tout = new PrintWriter(System.out);\n\t\t}\n\t\tint h = scan.nextInt();\n\t\tint w = scan.nextInt();\n\t\t\n\t\tint reth = 1;\n\t\tint retw = 1;\n\t\tlong area = 1;\n\t\t\n\t\tfor(int i = 1; i <= h; i *= 2) {\n\t\t\tint minw = (int) Math.ceil((double)i * 0.8);\n\t\t\tint maxw = Math.min(w, (int) Math.floor((double)i * 1.25));\n\t\t\tif(minw > w) continue;\n\t\t\t\n\t\t\tif(area < (long)i * (long)maxw) {\n\t\t\t\tarea = (long)i * (long)maxw;\n\t\t\t\treth = i;\n\t\t\t\tretw = maxw;\n\t\t\t}\n\t\t}\n\t\t\n\t\tfor(int j = 1; j <= w; j *= 2) {\n\t\t\tint minh = (int) Math.ceil((double)j / 1.25);\n\t\t\tint maxh = Math.min(h,(int) Math.floor((double)j / 0.8));\n\t\t\tif(minh > h) continue;\n\t\t\t\n\t\t\tlong narea = (long)j * (long)maxh;\n\t\t\tif(area < narea) {\n\t\t\t\tarea = narea;\n\t\t\t\treth = maxh;\n\t\t\t\tretw = j;\n\t\t\t} else if(area == narea) {\n\t\t\t\tif(reth < maxh) {\n\t\t\t\t\tarea = narea;\n\t\t\t\t\treth = maxh;\n\t\t\t\t\tretw = j;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tout.println(reth + \" \" + retw);\n\t\tout.close();\n\t}\n\tstatic class FastScanner {\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n \n\t\tFastScanner(InputStream is) {\n\t\t\ttry {\n\t\t\t\tbr = new BufferedReader(new InputStreamReader(is));\n\t\t\t} catch (Exception e) {\n\t\t\t\te.printStackTrace();\n\t\t\t}\n\t\t}\n \n\t\tString next() {\n\t\t\twhile (st == null || !st.hasMoreTokens()) {\n\t\t\t\ttry {\n\t\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\t\t} catch (Exception e) {\n\t\t\t\t\treturn null;\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\t \n\t\tString nextLine() {\n\t try {\n\t return br.readLine();\n\t }\n\t catch (Exception e) {\n\t return null;\n\t }\n\t }\n\t\tint nextInt() {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n \n\t\tlong nextLong() {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n \n\t\tdouble nextDouble() {\n\t\t\treturn Double.valueOf(next());\n\t\t}\n\t}\n}", "python": "''' \n \t\n \t\t\t ||Sri:|| \n\n __|\n ______________|_________________________\n | | ___| | | ___| | | |___\n /\\ /\\ | |___ | | |___| | | |___|\n/ \\/ \\ | ___| | | |_/ |___| |___\n\nI am a beginner. Feel free to send tutorials/help to [email protected].\n\nCodeforces, SPOJ handle: desikachariar.\nHackerrank, Codechef handle: Prof_Calculus.\n\nAdvices/Help are welcome. You will definitely get a thanks in return. Comments to be avoided.\n\nCollege: International Institute of Information Technology, Bangalore.\n\n'''\n\nimport math\n\ndef fn():\n\treturn\nls=[]\nif __name__ == '__main__':\n\tfor i in range(30):\n\t\tls.append(2**i)\n\th,w = [int(pp) for pp in raw_input().split(' ')]\n\ti = 0\n\twhile i+1 < len(ls) and ls[i+1] <= h:\n\t\ti+=1\n\tw1 = float(ls[i])/0.8\n\tw2 = float(ls[i])/1.25\n\ttemp = min(w, int(w1))\n\twhile i >= 0 and (float(ls[i])/temp < 0.8 or float(ls[i])/temp > 1.25 or temp < w2 or temp > w):\n\t\tw1 = float(ls[i])/0.8\n\t\tw2 = float(ls[i])/1.25\n\t\ttemp = min(w, int(w1))\n\t\ti-=1\n\tif i == -1:\n\t\ttemp = -1\n\tj = 0\n\twhile j+1 < len(ls) and ls[j+1] <= w:\n\t\tj+=1\n\th1 = float(ls[j])*0.8\n\th2 = float(ls[j])*1.25\n\ttemp2 = min(h, int(h2))\n\t#print temp2, float(ls[j])/temp2 < 0.8, float(ls[j])/temp2 > 1.25, temp2 < h1, temp2 > h\n\twhile j >= 0 and (float(ls[j])/temp2 < 0.8 or float(ls[j])/temp2 > 1.25 or temp2 < h1 or temp2 > h):\n\t\t#print h1, h2, ls[j],\n\t\th1 = float(ls[j])*0.8\n\t\th2 = float(ls[j])*1.25\n\t\ttemp2 = min(h, int(h2))\n\t\t#print temp2, float(ls[j])/temp2 < 0.8, float(ls[j])/temp2 > 1.25, temp2 < h1, temp2 > h\n\t\tj-=1\n\tif j == -1:\n\t\ttemp2 = -1\n\t#print ls[i], temp, temp2, ls[j]\n\t\n\tif temp2*ls[j] < ls[i]* temp:\n\t\tprint ls[i], temp\n\telif temp2*ls[j] > ls[i]* temp:\n\t\tprint temp2, ls[j]\n\telse:\n\t\tif temp2 > ls[i]:\n\t\t\tprint temp2, ls[j]\n\t\telse:\n\t\t\tprint ls[i], temp\n" }
Codeforces/567/D
# One-Dimensional Battle Ships Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table). At the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other. After that Bob makes a sequence of "shots". He names cells of the field and Alice either says that the cell is empty ("miss"), or that the cell belongs to some ship ("hit"). But here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a "miss". Help Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated. Input The first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other. The second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves. The third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n. Output Print a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print "-1". Examples Input 11 3 3 5 4 8 6 1 11 Output 3 Input 5 1 3 2 1 5 Output -1 Input 5 1 3 1 3 Output 1
[ { "input": { "stdin": "11 3 3\n5\n4 8 6 1 11\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "5 1 3\n1\n3\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5 1 3\n2\n1 5\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "200000 1 199999\n2\n2 200000\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\n" }, "output": { "stdout": "18\n" } }, { "input": { "stdin": "50 1 1\n50\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\n" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "200000 1 199999\n2\n1 200000\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "200000 1 200000\n1\n200000\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "200000 1 200000\n1\n1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "50 7 3\n50\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\n" }, "output": { "stdout": "19\n" } }, { "input": { "stdin": "200000 1 199999\n2\n200000 1\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "10 2 4\n2\n5 6\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "200000 100000 1\n1\n31618\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1000 2\n3\n1000 2000 3000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "10 2 4\n3\n5 6 1\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "4 2 1\n2\n1 3\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "4 2 1\n2\n1 2\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\n" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "1 1 1\n1\n1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "11 3 3\n5\n4 8 7 1 11\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "200000 0 199999\n2\n200000 1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "11 3 3\n5\n4 2 7 1 11\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\n" }, "output": { "stdout": "19\n" } }, { "input": { "stdin": "200000 1 112231\n1\n1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\n" }, "output": { "stdout": "19\n" } }, { "input": { "stdin": "10 2 2\n2\n5 6\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "10 2 2\n2\n5 1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n" }, "output": { "stdout": "19\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1001 2\n3\n1000 2741 140\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "50 7 3\n20\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1001 2\n3\n1000 2741 3000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1001 2\n3\n1000 2000 3000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\n" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\n" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "15 3 3\n5\n4 8 6 1 11\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "5 1 3\n1\n2\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "200000 1 119175\n2\n1 200000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\n" }, "output": { "stdout": "18\n" } }, { "input": { "stdin": "11 2 1\n2\n1 3\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "9 2 4\n2\n5 6\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n" }, "output": { "stdout": "13\n" } }, { "input": { "stdin": "200000 1 192534\n2\n1 200000\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "5000 1660 2\n20\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n" }, "output": { "stdout": "-1\n" } } ]
{ "tags": [ "binary search", "data structures", "greedy", "sortings" ], "title": "One-Dimensional Battle Ships" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint arr[100005];\nint main() {\n set<int> s;\n int n, k, a, m, i, x;\n cin >> n >> k >> a;\n cin >> m;\n s.insert(0);\n s.insert(n + 1);\n int cnt = (n + 1) / (a + 1);\n for (i = 1; i <= m; i++) {\n cin >> x;\n set<int>::iterator it = s.upper_bound(x);\n int r = *(it--);\n int l = *it;\n cnt -= ((r - l) / (a + 1) - (x - l) / (a + 1) - (r - x) / (a + 1));\n if (cnt < k) {\n cout << i << endl;\n return 0;\n }\n s.insert(x);\n }\n cout << -1 << endl;\n return 0;\n}\n", "java": "\nimport java.util.*;\nimport java.io.*;\n\n/**\n *\n * @author umang\n */\n\npublic class D567{\n \n public static int mod = 1000000007;\n \n public static void main(String[] args) {\n \n InputReader in = new InputReader(System.in);\n PrintWriter w = new PrintWriter(System.out);\n\n int n=in.nextInt();\n int k=in.nextInt();\n int a=in.nextInt();\n int m=in.nextInt();\n int[]arr=in.nextIntArray(m);\n int s=0;\n int e=m-1;\n while(s<e){\n int mid=(e+s)/2;\n boolean[] temp=new boolean[n+1];\n for(int i=0;i<=mid;i++){\n temp[arr[i]]=true;\n }\n int count=0;\n for(int i=1;i<=n;i++){\n int j=i;\n while(i<=n && !temp[i]){\n i++;\n }\n count+=(i-j+1)/(a+1);\n // w.println(\" \"+\" \"+mid+\" \"+i+\" \"+j+\" \"+count);\n }\n if(count>=k) s=mid+1;\n else e=mid;\n }\n if(s+1==m){\n boolean[] temp=new boolean[n+1];\n for(int i=0;i<m;i++){\n temp[arr[i]]=true;\n }\n int count=0;\n for(int i=1;i<=n;i++){\n int j=i;\n while(i<=n && !temp[i]){\n i++;\n }\n count+=(i-j+1)/(a+1);\n }\n if(count>=k) w.println(\"-1\");\n else w.println(m);\n }\n else w.println(s+1);\n w.close();\n }\n \n static class Pair{\n int i;\n int x;\n \n public Pair(int i,int x){\n this.x=x;\n this.i=i;\n }\n \n }\n \n static class InputReader {\n\n\t\tprivate final InputStream stream;\n\t\tprivate final byte[] buf = new byte[8192];\n\t\tprivate int curChar, snumChars;\n\t\tprivate SpaceCharFilter filter;\n\n\t\tpublic InputReader(InputStream stream) {\n\t\t\tthis.stream = stream;\n\t\t}\n\n\t\tpublic int snext() {\n\t\t\tif (snumChars == -1)\n\t\t\t\tthrow new InputMismatchException();\n\t\t\tif (curChar >= snumChars) {\n\t\t\t\tcurChar = 0;\n\t\t\t\ttry {\n\t\t\t\t\tsnumChars = stream.read(buf);\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\t}\n\t\t\t\tif (snumChars <= 0)\n\t\t\t\t\treturn -1;\n\t\t\t}\n\t\t\treturn buf[curChar++];\n\t\t}\n\n\t\tpublic int nextInt() {\n\t\t\tint c = snext();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = snext();\n\t\t\tint sgn = 1;\n\t\t\tif (c == '-') {\n\t\t\t\tsgn = -1;\n\t\t\t\tc = snext();\n\t\t\t}\n\t\t\tint res = 0;\n\t\t\tdo {\n\t\t\t\tif (c < '0' || c > '9')\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\tres *= 10;\n\t\t\t\tres += c - '0';\n\t\t\t\tc = snext();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res * sgn;\n\t\t}\n\n\t\tpublic long nextLong() {\n\t\t\tint c = snext();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = snext();\n\t\t\tint sgn = 1;\n\t\t\tif (c == '-') {\n\t\t\t\tsgn = -1;\n\t\t\t\tc = snext();\n\t\t\t}\n\t\t\tlong res = 0;\n\t\t\tdo {\n\t\t\t\tif (c < '0' || c > '9')\n\t\t\t\t\tthrow new InputMismatchException();\n\t\t\t\tres *= 10;\n\t\t\t\tres += c - '0';\n\t\t\t\tc = snext();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res * sgn;\n\t\t}\n\n\t\tpublic int[] nextIntArray(int n) {\n\t\t\tint a[] = new int[n];\n\t\t\tfor (int i = 0; i < n; i++)\n\t\t\t\ta[i] = nextInt();\n\t\t\treturn a;\n\t\t}\n\n\t\tpublic String readString() {\n\t\t\tint c = snext();\n\t\t\twhile (isSpaceChar(c))\n\t\t\t\tc = snext();\n\t\t\tStringBuilder res = new StringBuilder();\n\t\t\tdo {\n\t\t\t\tres.appendCodePoint(c);\n\t\t\t\tc = snext();\n\t\t\t} while (!isSpaceChar(c));\n\t\t\treturn res.toString();\n\t\t}\n\n\t\tpublic boolean isSpaceChar(int c) {\n\t\t\tif (filter != null)\n\t\t\t\treturn filter.isSpaceChar(c);\n\t\t\treturn c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n\t\t}\n\n\t\tpublic interface SpaceCharFilter {\n\t\t\tpublic boolean isSpaceChar(int ch);\n\t\t}\n\t}\n} \n\n", "python": "n,k,b = map(int,input().split())\nm = int(input())+1\nb += 1\na = list(map(int,input().split()))\nl,r = 0,m\nwhile r-l > 1:\n d = (l+r)//2\n c = sorted(a[:d])\n if sum([(p-q)//b for q,p in zip([0]+c,c+[n+1])]) >= k:\n l = d\n else:\n r = d\nprint(r%m-(r==m))" }
Codeforces/588/F
# Duff in Mafia Duff is one if the heads of Mafia in her country, Andarz Gu. Andarz Gu has n cities (numbered from 1 to n) connected by m bidirectional roads (numbered by 1 to m). Each road has a destructing time, and a color. i-th road connects cities vi and ui and its color is ci and its destructing time is ti. Mafia wants to destruct a matching in Andarz Gu. A matching is a subset of roads such that no two roads in this subset has common endpoint. They can destruct these roads in parallel, i. e. the total destruction time is a maximum over destruction times of all selected roads. <image> They want two conditions to be satisfied: 1. The remaining roads form a proper coloring. 2. Destructing time of this matching is minimized. The remaining roads after destructing this matching form a proper coloring if and only if no two roads of the same color have same endpoint, or, in the other words, edges of each color should form a matching. There is no programmer in Mafia. That's why Duff asked for your help. Please help her and determine which matching to destruct in order to satisfied those conditions (or state that this is not possible). Input The first line of input contains two integers n and m (2 ≤ n ≤ 5 × 104 and 1 ≤ m ≤ 5 × 104), number of cities and number of roads in the country. The next m lines contain the the roads. i - th of them contains four integers vi, ui, ci and ti (1 ≤ vi, ui ≤ n, vi ≠ ui and 1 ≤ ci, ti ≤ 109 for each 1 ≤ i ≤ m). Output In the first line of input, print "Yes" (without quotes) if satisfying the first condition is possible and "No" (without quotes) otherwise. If it is possible, then you have to print two integers t and k in the second line, the minimum destructing time and the number of roads in the matching (<image>). In the third line print k distinct integers separated by spaces, indices of the roads in the matching in any order. Roads are numbered starting from one in order of their appearance in the input. If there's more than one solution, print any of them. Examples Input 5 7 2 1 3 7 3 1 1 6 5 4 1 8 4 5 1 1 3 2 2 3 4 5 2 5 2 3 2 4 Output Yes 3 2 4 5 Input 3 5 3 2 1 3 1 3 1 1 3 2 1 4 1 3 2 2 1 3 2 10 Output No Note Graph of Andarz Gu in the first sample case is as follows: <image> A solution would be to destruct the roads with crosses. Graph of Andarz Gu in the second sample case is as follows: <image>
[ { "input": { "stdin": "5 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 2 5\n2 3 2 4\n" }, "output": { "stdout": "Yes\n3 2\n4 5 " } }, { "input": { "stdin": "3 5\n3 2 1 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 3 2 10\n" }, "output": { "stdout": "No" } }, { "input": { "stdin": "3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 2 718110706 353409763\n2 3 482786015 858341723\n3 2 825397574 357507279\n" }, "output": { "stdout": "Yes\n641991574 1\n2 " } }, { "input": { "stdin": "2 1\n2 1 317425595 636156322\n" }, "output": { "stdout": "Yes\n0 0\n" } }, { "input": { "stdin": "50000 1\n20845 28516 904146168 997637433\n" }, "output": { "stdout": "Yes\n0 0\n" } }, { "input": { "stdin": "2027 1\n38685 28516 904146168 1567633875\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 2 608591421 720962564\n6 2 608591421 641991574\n3 3 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "1 1\n2 1 317425595 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "2 1\n2 1 317425595 491281131\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "912 1\n38685 28516 904146168 1313926024\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n3 2 2 6\n1 1 1 1\n3 2 0 8\n1 3 2 2\n1 3 2 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "36050 1\n20845 49826 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "4 1\n3 2 527505364 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "50000 1\n32372 28516 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 1 608591421 720962564\n6 2 608591421 641991574\n3 3 718110706 673892373\n2 2 482786015 858341723\n3 2 825397574 357507279\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "10 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 2 5\n2 3 2 4\n" }, "output": { "stdout": "Yes\n3 2\n4 5 \n" } }, { "input": { "stdin": "552 1\n38685 28516 904146168 1567633875\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "2 1\n4 1 317425595 570202222\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "10 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 3 5\n2 3 2 4\n" }, "output": { "stdout": "Yes\n3 2\n4 5 \n" } }, { "input": { "stdin": "50000 1\n20845 49826 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "4 1\n1 2 339371166 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "2 1\n2 1 85499581 324125031\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "50000 1\n19430 47336 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 2 718110706 353409763\n2 3 482786015 858341723\n3 4 825397574 357507279\n" }, "output": { "stdout": "Yes\n641991574 1\n2 \n" } }, { "input": { "stdin": "3 5\n3 2 2 6\n1 1 1 1\n3 2 0 4\n1 3 2 2\n1 3 2 1\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "2 1\n2 1 538670330 932806361\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "912 1\n38685 28516 904146168 937480121\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "4 1\n3 1 339371166 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 2 459716829 720962564\n6 2 608591421 238450740\n3 8 718110706 353409763\n2 2 482786015 858341723\n3 4 825397574 357507279\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 1\n2 1 296600034 891174931\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "4 1\n2 1 339371166 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "1144 1\n38685 28516 904146168 985170163\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "50000 1\n38988 28516 478925434 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "2 1\n3 1 317425595 570202222\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 2 459716829 720962564\n6 2 608591421 641991574\n3 8 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "3 1\n2 1 296600034 932806361\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "521 1\n38685 28516 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "2027 1\n20845 28516 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "50000 1\n32372 47336 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 2 718110706 353409763\n2 3 875803605 858341723\n3 4 825397574 357507279\n" }, "output": { "stdout": "Yes\n641991574 1\n2 \n" } }, { "input": { "stdin": "3 5\n2 2 459716829 720962564\n6 2 1054926684 641991574\n3 8 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n" }, "output": { "stdout": "No\n" } }, { "input": { "stdin": "7 1\n3 1 339371166 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 1\n3 1 296600034 25942498\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "2027 1\n905 28516 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "0 1\n2 1 317425595 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 4 718110706 642621413\n2 3 482786015 858341723\n3 2 825397574 357507279\n" }, "output": { "stdout": "Yes\n641991574 1\n2 \n" } }, { "input": { "stdin": "2027 1\n38685 28516 904146168 834069176\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "2 1\n2 1 296600034 932806361\n" }, "output": { "stdout": "Yes\n0 0\n\n" } }, { "input": { "stdin": "3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 4 718110706 353409763\n2 3 482786015 858341723\n3 2 825397574 357507279\n" }, "output": { "stdout": "Yes\n641991574 1\n2 \n" } }, { "input": { "stdin": "4 1\n3 2 686806284 636156322\n" }, "output": { "stdout": "Yes\n0 0\n\n" } } ]
{ "tags": [ "2-sat", "binary search" ], "title": "Duff in Mafia" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int MAX_BUF_SIZE = 16384;\nchar BUFOR[MAX_BUF_SIZE];\nint BUF_SIZE, BUF_POS;\nchar ZZZ;\nconst int MXN = 6 * 50010;\nconst int C = 262144;\nconst int INF = 1000000001;\nnamespace SAT2 {\nvector<int> G[MXN], GT[MXN];\nint pre[MXN], skl[MXN];\nvector<int> fu;\nclass SAT2 {\n SAT2() {}\n int n, czas, skla;\n int neg(int v1) { return (v1 + n) % (2 * n); }\n void addEdge(int v1, int v2) {\n G[neg(v1)].push_back(v2);\n GT[v2].push_back(neg(v1));\n G[neg(v2)].push_back(v1);\n GT[v1].push_back(neg(v2));\n }\n void dfs(int x) {\n pre[x] = ++czas;\n for (__typeof((G[x]).begin()) it = ((G[x]).begin()); it != (G[x]).end();\n ++it)\n if (!pre[*it]) dfs(*it);\n fu.push_back(x);\n }\n void dfs2(int x) {\n skl[x] = skla;\n for (__typeof((GT[x]).begin()) it = ((GT[x]).begin()); it != (GT[x]).end();\n ++it)\n if (!skl[*it]) dfs2(*it);\n }\n void clear() {\n fu.clear();\n for (int i = (0); i <= (2 * n); i++) pre[i] = skl[i] = 0;\n for (int i = (0); i <= (2 * n); i++) {\n G[i].clear();\n GT[i].clear();\n }\n }\n\n public:\n SAT2(int _n) {\n czas = 0;\n skla = 0;\n n = _n;\n }\n void add(int v1, bool pos1, int v2, bool pos2) {\n addEdge((pos1 ? neg(v1) : v1), (pos2 ? neg(v2) : v2));\n }\n pair<bool, vector<bool> > solve() {\n for (int i = (0); i <= (2 * n - 1); i++)\n if (!pre[i]) dfs(i);\n for (int i = ((int)(fu).size() - 1); i >= (0); i--) {\n int w = fu[i];\n if (!skl[w]) {\n skla++;\n dfs2(w);\n }\n }\n skla++;\n for (int i = (0); i <= (n - 1); i++)\n if (skl[i] == skl[i + n]) {\n clear();\n return make_pair(false, vector<bool>());\n }\n vector<bool> res(2 * n, 0);\n for (int i = (0); i <= (n - 1); i++) {\n if (skl[i] < skl[neg(i)])\n res[neg(i)] = 1;\n else\n res[i] = 1;\n }\n clear();\n return make_pair(true, res);\n }\n};\n} // namespace SAT2\nint n2, m;\nvector<pair<int, pair<int, int> > > G2[MXN];\nint c[MXN], t[MXN];\npair<bool, vector<bool> > check(int second) {\n SAT2::SAT2 SAT(3 * m);\n for (int i = (0); i <= (m - 1); i++)\n if (t[i] > second) SAT.add(i, 1, i, 1);\n for (int i = (1); i <= (n2); i++) {\n for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) {\n int iter = j;\n while (iter < (int)(G2[i]).size() && G2[i][j].first == G2[i][iter].first)\n iter++;\n if (iter - j > 2)\n return make_pair(false, vector<bool>());\n else if (iter - j == 2)\n SAT.add(G2[i][j].second.second, 0, G2[i][j + 1].second.second, 0);\n j = iter - 1;\n }\n int last = -1;\n for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) {\n int ei = G2[i][j].second.second;\n int pi = ei;\n if (i < G2[i][j].second.first)\n pi += m;\n else\n pi += 2 * m;\n SAT.add(pi, 1, ei, 1);\n if (last != -1) {\n SAT.add(ei, 1, last, 0);\n SAT.add(pi, 1, last, 0);\n }\n last = pi;\n }\n }\n return SAT.solve();\n}\nvoid test() {\n scanf(\"%d %d\", &n2, &m);\n int mx = 0;\n for (int i = (1); i <= (m); i++) {\n int a, b;\n scanf(\"%d %d %d %d\", &a, &b, &c[i - 1], &t[i - 1]);\n mx = max(mx, t[i - 1]);\n G2[a].push_back(make_pair(c[i - 1], make_pair(b, i - 1)));\n G2[b].push_back(make_pair(c[i - 1], make_pair(a, i - 1)));\n }\n for (int i = (1); i <= (n2); i++) sort((G2[i]).begin(), (G2[i]).end());\n int res = INF;\n int L = 0, R = mx;\n vector<bool> ans;\n while (L <= R) {\n int second = (L + R) / 2;\n pair<bool, vector<bool> > p1 = check(second);\n if (p1.first) {\n if (res > second) {\n res = second;\n ans = p1.second;\n }\n R = second - 1;\n } else\n L = second + 1;\n }\n if (res != INF) {\n printf(\"Yes\\n\");\n int cnt = 0;\n for (int i = (0); i <= (m - 1); i++)\n if (ans[i]) cnt++;\n printf(\"%d %d\\n\", res, cnt);\n for (int i = (0); i <= (m - 1); i++)\n if (ans[i]) printf(\"%d \", i + 1);\n printf(\"\\n\");\n } else\n printf(\"No\\n\");\n}\nint main() {\n int te = 1;\n while (te--) test();\n return 0;\n}\n", "java": null, "python": null }
Codeforces/610/C
# Harmony Analysis The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is: <image>. Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it? Input The only line of the input contains a single integer k (0 ≤ k ≤ 9). Output Print 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists. If there are many correct answers, print any. Examples Input 2 Output ++** +*+* ++++ +**+ Note Consider all scalar products in example: * Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0 * Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0 * Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0 * Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0 * Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0 * Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0
[ { "input": { "stdin": "2\n" }, "output": { "stdout": "++++\n+*+*\n++**\n+**+\n" } }, { "input": { "stdin": "2\n" }, "output": { "stdout": "++++\n+*+*\n++**\n+**+\n" } }, { "input": { "stdin": "4\n" }, "output": { "stdout": "++++++++++++++++\n+*+*+*+*+*+*+*+*\n++**++**++**++**\n+**++**++**++**+\n++++****++++****\n+*+**+*++*+**+*+\n++****++++****++\n+**+*++*+**+*++*\n++++++++********\n+*+*+*+**+*+*+*+\n++**++****++**++\n+**++**+*++**++*\n++++********++++\n+*+**+*+*+*++*+*\n++****++**++++**\n+**+*++**++*+**+\n" } }, { "input": { "stdin": "1\n" }, "output": { "stdout": "++\n+*\n" } }, { "input": { "stdin": "5\n" }, "output": { "stdout": "++++++++++++++++++++++++++++++++\n+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*\n++**++**++**++**++**++**++**++**\n+**++**++**++**++**++**++**++**+\n++++****++++****++++****++++****\n+*+**+*++*+**+*++*+**+*++*+**+*+\n++****++++****++++****++++****++\n+**+*++*+**+*++*+**+*++*+**+*++*\n++++++++********++++++++********\n+*+*+*+**+*+*+*++*+*+*+**+*+*+*+\n++**++****++**++++**++****++**++\n+**++**+*++**++*+**++**+*++**++*\n++++********++++++++********++++\n+*+**+*+*+*++*+*+*+**+*+*+*++*+*\n++****++**++++**++****++**++++**\n+**+*++**++*+**++**+*++**++*+**+\n++++++++++++++++****************\n+*+*+*+*+*+*+*+**+*+*+*+*+*+*+*+\n++**++**++**++****++**++**++**++\n+**++**++**++**+*++**++**++**++*\n++++****++++********++++****++++\n+*+**+*++*+**+*+*+*++*+**+*++*+*\n++****++++****++**++++****++++**\n+**+*++*+**+*++**++*+**+*++*+**+\n++++++++****************++++++++\n+*+*+*+**+*+*+*+*+*+*+*++*+*+*+*\n++**++****++**++**++**++++**++**\n+**++**+*++**++**++**++*+**++**+\n++++********++++****++++++++****\n+*+**+*+*+*++*+**+*++*+*+*+**+*+\n++****++**++++****++++**++****++\n+**+*++**++*+**+*++*+**++**+*++*\n" } }, { "input": { "stdin": "7\n" }, "output": { "stdout": 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{ "tags": [ "constructive algorithms" ], "title": "Harmony Analysis" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint n, k;\npair<int, int> d[3] = {{0, 1}, {1, 0}, {1, 1}};\nint b[550][550];\nvoid rec(int k) {\n if (k == 1) {\n b[0][0] = 1;\n return;\n }\n rec(k /= 2);\n for (int c = 0; c < 3; c++) {\n for (int i = 0; i < k; i++) {\n for (int j = 0; j < k; j++) {\n b[i + d[c].first * k][j + d[c].second * k] = !b[i][j];\n }\n }\n }\n}\nint main() {\n cin >> k;\n n = pow(2, k);\n rec(n);\n for (int i = 0; i < n; i++) {\n for (int j = 0; j < n; j++) cout << (b[i][j] ? '+' : '*');\n cout << endl;\n }\n return 0;\n}\n", "java": "//package round337;\nimport java.io.ByteArrayInputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.util.InputMismatchException;\n\npublic class C {\n\tInputStream is;\n\tPrintWriter out;\n\tString INPUT = \"\";\n\t\n\tvoid solve()\n\t{\n\t\tint n = ni();\n\t\tchar[][] ret = new char[1][1];\n\t\tret[0][0] = '+';\n\t\tfor(int i = 1;i <= n;i++){\n\t\t\tchar[][] nret = new char[1<<i][1<<i];\n\t\t\tfor(int j = 0;j < 1<<i-1;j++){\n\t\t\t\tfor(int k = 0;k < 1<<i-1;k++){\n\t\t\t\t\tnret[j][k] = ret[j][k];\n\t\t\t\t\tnret[j|1<<i-1][k] = ret[j][k];\n\t\t\t\t\tnret[j][k|1<<i-1] = ret[j][k];\n\t\t\t\t\tnret[j|1<<i-1][k|1<<i-1] = ret[j][k] == '+' ? '*' : '+';\n\t\t\t\t}\n\t\t\t}\n\t\t\tret = nret;\n\t\t}\n\t\tfor(char[] row : ret){\n\t\t\tout.println(new String(row));\n\t\t}\n\t}\n\t\n\tvoid run() throws Exception\n\t{\n\t\tis = oj ? System.in : new ByteArrayInputStream(INPUT.getBytes());\n\t\tout = new PrintWriter(System.out);\n\t\t\n\t\tlong s = System.currentTimeMillis();\n\t\tsolve();\n\t\tout.flush();\n\t\ttr(System.currentTimeMillis()-s+\"ms\");\n\t}\n\t\n\tpublic static void main(String[] args) throws Exception { new C().run(); }\n\t\n\tprivate byte[] inbuf = new byte[1024];\n\tprivate int lenbuf = 0, ptrbuf = 0;\n\t\n\tprivate int readByte()\n\t{\n\t\tif(lenbuf == -1)throw new InputMismatchException();\n\t\tif(ptrbuf >= lenbuf){\n\t\t\tptrbuf = 0;\n\t\t\ttry { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }\n\t\t\tif(lenbuf <= 0)return -1;\n\t\t}\n\t\treturn inbuf[ptrbuf++];\n\t}\n\t\n\tprivate boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }\n\tprivate int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }\n\t\n\tprivate double nd() { return Double.parseDouble(ns()); }\n\tprivate char nc() { return (char)skip(); }\n\t\n\tprivate String ns()\n\t{\n\t\tint b = skip();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')\n\t\t\tsb.appendCodePoint(b);\n\t\t\tb = readByte();\n\t\t}\n\t\treturn sb.toString();\n\t}\n\t\n\tprivate char[] ns(int n)\n\t{\n\t\tchar[] buf = new char[n];\n\t\tint b = skip(), p = 0;\n\t\twhile(p < n && !(isSpaceChar(b))){\n\t\t\tbuf[p++] = (char)b;\n\t\t\tb = readByte();\n\t\t}\n\t\treturn n == p ? buf : Arrays.copyOf(buf, p);\n\t}\n\t\n\tprivate char[][] nm(int n, int m)\n\t{\n\t\tchar[][] map = new char[n][];\n\t\tfor(int i = 0;i < n;i++)map[i] = ns(m);\n\t\treturn map;\n\t}\n\t\n\tprivate int[] na(int n)\n\t{\n\t\tint[] a = new int[n];\n\t\tfor(int i = 0;i < n;i++)a[i] = ni();\n\t\treturn a;\n\t}\n\t\n\tprivate int ni()\n\t{\n\t\tint num = 0, b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\t\t\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\t\n\tprivate long nl()\n\t{\n\t\tlong num = 0;\n\t\tint b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\t\t\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\t\n\tprivate boolean oj = System.getProperty(\"ONLINE_JUDGE\") != null;\n\tprivate void tr(Object... o) { if(!oj)System.out.println(Arrays.deepToString(o)); }\n}\n", "python": "import sys\nif False:\n\tinp = open('C.txt', 'r')\nelse:\n\tinp = sys.stdin\n\ndef inverse(string):\n\tans = ''\n\tfor char in string:\n\t\tif char == '*':\n\t\t\tans += '+'\n\t\telse:\n\t\t\tans += '*'\n\treturn ans\n\ndef recursion(k):\n\tif k == 0:\n\t\treturn ['+']\n\tans = recursion(k-1)\n\tans = ans + ans\n\tfor i in range(2**(k-1)):\n\t\tans[i] = 2*ans[i]\n\t\tans[i + 2**(k-1)] += inverse(ans[i + 2**(k-1)])\n\treturn ans\nk = int(inp.readline())\n\nfor string in recursion(k):\n\tprint(string)\n\n" }
Codeforces/630/M
# Turn Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face. One of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification? But not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical. Vasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized. Help Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum. The next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to "true up". <image> The next figure shows 90 degrees clockwise turn by FPGA hardware. <image> Input The only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise. Output Output one integer — the minimum required number of 90 degrees clockwise turns. Examples Input 60 Output 1 Input -60 Output 3 Note When the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from "true up" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from "true up" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from "true up" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise. From 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns.
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{ "tags": [ "geometry", "math" ], "title": "Turn" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n long long n;\n cin >> n;\n n = -n;\n n %= 360;\n if (n < 0) n += 360;\n int best = min(n, 360 - n);\n int res = 0;\n for (int i = 0; i < 4; ++i) {\n int cur = n + 90 * i;\n cur %= 360;\n if (best > min(cur, 360 - cur)) {\n best = min(cur, 360 - cur);\n res = i;\n }\n }\n cout << res << endl;\n return 0;\n}\n", "java": "import java.util.*;\npublic class ProM {\n\tstatic int ans;\n\tstatic long x,a,b;\n\n\tpublic static void main(String[] args) {\n\t\tScanner in=new Scanner(System.in);\n\t\tx=-in.nextLong();\n\t\tx=x%360;\n\t\tif(x<0) x+=360;\n\t\tb=360;\n\t\tfor(int i=0;i<=3;i++)\n\t\t{\n\t\t\ta=(x+i*90)%360;\n\t\t\ta=Math.min(a,360-a);\n\t\t\tif(a<b) { b=a;ans=i;}\n\t\t}\n\t\tSystem.out.println(ans);\n\t}\n}\n", "python": "x = int(input())\n\nx = 360 * 10**16 + x\nx %= 360\nans_i = -1\nans_x = 100000\nfor i in range(4):\n dx = min(x, 360 - x)\n if (dx < ans_x):\n ans_i = i\n ans_x = dx\n x = 270 + x\n x %= 360\nprint(ans_i)" }
Codeforces/659/E
# New Reform Berland has n cities connected by m bidirectional roads. No road connects a city to itself, and each pair of cities is connected by no more than one road. It is not guaranteed that you can get from any city to any other one, using only the existing roads. The President of Berland decided to make changes to the road system and instructed the Ministry of Transport to make this reform. Now, each road should be unidirectional (only lead from one city to another). In order not to cause great resentment among residents, the reform needs to be conducted so that there can be as few separate cities as possible. A city is considered separate, if no road leads into it, while it is allowed to have roads leading from this city. Help the Ministry of Transport to find the minimum possible number of separate cities after the reform. Input The first line of the input contains two positive integers, n and m — the number of the cities and the number of roads in Berland (2 ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000). Next m lines contain the descriptions of the roads: the i-th road is determined by two distinct integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi and yi are the numbers of the cities connected by the i-th road. It is guaranteed that there is no more than one road between each pair of cities, but it is not guaranteed that from any city you can get to any other one, using only roads. Output Print a single integer — the minimum number of separated cities after the reform. Examples Input 4 3 2 1 1 3 4 3 Output 1 Input 5 5 2 1 1 3 2 3 2 5 4 3 Output 0 Input 6 5 1 2 2 3 4 5 4 6 5 6 Output 1 Note In the first sample the following road orientation is allowed: <image>, <image>, <image>. The second sample: <image>, <image>, <image>, <image>, <image>. The third sample: <image>, <image>, <image>, <image>, <image>.
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{ "tags": [ "data structures", "dfs and similar", "dsu", "graphs", "greedy" ], "title": "New Reform" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = 1e5 + 10;\nint fa[N];\nbool flag[N];\nint find(int x) {\n int r = x;\n while (fa[r] != r) r = fa[r];\n int i = x, j;\n while (i != r) {\n j = fa[i];\n fa[i] = r;\n i = j;\n }\n return r;\n}\nint main() {\n ios::sync_with_stdio(false);\n int n, m, i, j;\n int x, y, fx, fy;\n int ans;\n ans = 0;\n scanf(\"%d%d\", &n, &m);\n for (i = 1; i <= n; i++) fa[i] = i;\n while (m--) {\n scanf(\"%d%d\", &x, &y);\n fx = find(x);\n fy = find(y);\n if (fx != fy) {\n fa[fx] = fy;\n if (flag[x] || flag[y] || flag[fx] || flag[fy])\n flag[fy] = flag[fx] = flag[x] = flag[y] = true;\n } else\n flag[fy] = flag[fx] = flag[x] = flag[y] = true;\n }\n for (i = 1; i <= n; i++) {\n if (find(i) == i && !flag[find(i)]) ans++;\n }\n printf(\"%d\\n\", ans);\n return 0;\n}\n", "java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.ArrayList;\n\npublic class NewReform {\n\tprivate static ArrayList<Integer>[] adjList;\n\tprivate static int N, tmp;\n\tprivate static boolean visited[];\n\t\n\tprivate static int depthfs(int index){\n\t\tvisited[index] = true;\n\t\tint ans = adjList[index].size();\n\t\ttmp++;\n\t\tfor(int u: adjList[index]){\n\t\t\tif(!visited[u]){\n\t\t\t\tans += depthfs(u);\n\t\t\t}\n\t\t}\n\t\t\n\t\treturn ans;\n\t}\n\t\n\tpublic static void main(String[] args) throws IOException{\n\t\tPrintWriter pw = new PrintWriter(System.out, true);\n\t\tBufferedReader input = new BufferedReader(new InputStreamReader(System.in));\n\t\tString[] line = input.readLine().split(\" \");\n\t\tN = Integer.parseInt(line[0]);\n\t\tint m = Integer.parseInt(line[1]);\n\t\tint a, b;\n\t\tadjList= new ArrayList[N];\n\t\tfor(int C = 0; C < N; C++){\n\t\t\tadjList[C] = new ArrayList<>();\n\t\t}\n\t\tvisited = new boolean[N];\n\t\t\n\t\tfor(int i = 0; i < m ;i++){\n\t\t\tline = input.readLine().split(\" \");\n\t\t\ta = Integer.parseInt(line[0])-1;\n\t\t\tb = Integer.parseInt(line[1])-1;\n\t\t\tadjList[a].add(b);\n\t\t\tadjList[b].add(a);\n\t\t}\n\t\tint ans = 0, c;\n\t\tfor(int C = 0;C < N;C++){\n\t\t\tif(!visited[C]){\n\t\t\t\ttmp = 0;\n\t\t\t\tc = depthfs(C);\n\t\t\t\ta = c / 2;\n\t\t\t\tif(a < tmp){\n\t\t\t\t\tans++;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tpw.println(ans);\n\t\tpw.close();\n\t\tinput.close();\n\t}\n}\n", "python": "a=input().split()\nn=int(a[0])\nm=int(a[1])\n\np = []\nrnk = []\n\ndef init(s):\n global p\n global rnk\n for i in range(0,s):\n p.append(i)\n rnk = [1]*s\n\ndef fs(v):\n global p\n if p[v]==v:\n return v\n ans = fs(p[v])\n p[v]=ans\n return ans\n\ndef us(a,b):\n global p\n global rnk\n a=fs(a)\n b=fs(b)\n if a==b:\n rnk[a]+=1\n return\n if rnk[a]>rnk[b]:\n p[b]=a\n rnk[a]+=rnk[b]\n else:\n p[a]=b\n rnk[b]+=rnk[a]\n\ninit(n)\n\nfor i in range(0,m):\n e=input().split()\n us(int(e[0])-1,int(e[1])-1)\nD = {}\nfor i in range(0,n):\n if D.get(fs(i))==None:\n D[fs(i)]=1\n else:\n D[fs(i)]+=1\n\nans=0\n\nfor i in D:\n if rnk[i]==D[i]:\n ans+=1\nprint(ans)\n\n" }
Codeforces/682/B
# Alyona and Mex Someone gave Alyona an array containing n positive integers a1, a2, ..., an. In one operation, Alyona can choose any element of the array and decrease it, i.e. replace with any positive integer that is smaller than the current one. Alyona can repeat this operation as many times as she wants. In particular, she may not apply any operation to the array at all. Formally, after applying some operations Alyona will get an array of n positive integers b1, b2, ..., bn such that 1 ≤ bi ≤ ai for every 1 ≤ i ≤ n. Your task is to determine the maximum possible value of mex of this array. Mex of an array in this problem is the minimum positive integer that doesn't appear in this array. For example, mex of the array containing 1, 3 and 4 is equal to 2, while mex of the array containing 2, 3 and 2 is equal to 1. Input The first line of the input contains a single integer n (1 ≤ n ≤ 100 000) — the number of elements in the Alyona's array. The second line of the input contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the elements of the array. Output Print one positive integer — the maximum possible value of mex of the array after Alyona applies some (possibly none) operations. Examples Input 5 1 3 3 3 6 Output 5 Input 2 2 1 Output 3 Note In the first sample case if one will decrease the second element value to 2 and the fifth element value to 4 then the mex value of resulting array 1 2 3 3 4 will be equal to 5. To reach the answer to the second sample case one must not decrease any of the array elements.
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"stdout": "5\n" } }, { "input": { "stdin": "4\n2 2 3 2\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "4\n2 4 1 2\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "3\n4 3 4\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "4\n1 1 1 1\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "3\n1 1 1\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "5\n1 1 1 1 10000\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "4\n2 2 2 4\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "20\n1 1 1 1 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "4\n1 3 2 1\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "3\n3 3 3\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "3\n1 1 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "4\n2 1 4 1\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "4\n2 2 2 2\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "3\n2 1 2\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "4\n3 3 3 4\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "4\n4 4 4 4\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "7\n1 2 2 2 2 2 4\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "4\n3 3 1 1\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "4\n1 4 2 4\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "4\n4 1 4 4\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "4\n4 4 3 4\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "4\n1 1 3 1\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "3\n1 1 2\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "4\n2 3 4 1\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "4\n8 8 8 8\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "8\n1 1 1 1 2 2 3 40\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "4\n3 4 3 1\n" }, 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{ "tags": [ "sortings" ], "title": "Alyona and Mex" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n long long a[100000];\n long long n, i;\n cin >> n;\n for (i = 0; i < n; i++) {\n cin >> a[i];\n }\n sort(a, a + n);\n a[0] = 1;\n for (i = 1; i <= n - 1; i++) {\n if (a[i] == a[i - 1] || a[i] == a[i - 1] + 1)\n continue;\n else\n a[i] = a[i - 1] + 1;\n }\n cout << a[n - 1] + 1;\n return 0;\n}\n", "java": "import java.io.*;\nimport java.math.BigInteger;\nimport java.util.*;\n//sdf\npublic class Main {\n public static void main(String[] args) {\n InputReader inputReader = new InputReader(System.in);\n PrintWriter printWriter = new PrintWriter(System.out, true);\n\n int n = inputReader.nextInt();\n int[] a = inputReader.nextIntArray(n);\n\n shuffleArray(a);\n Arrays.sort(a);\n int current = 1;\n for (int i = 0; i < n; i++) {\n if (a[i] >= current) {\n current++;\n }\n }\n\n printWriter.print(current);\n\n printWriter.close();\n }\n\n private static void shuffleArray(int[] a) {\n Random r = new Random();\n int tmp;\n for (int i = 1; i < a.length; i++) {\n tmp = r.nextInt(i + 1);\n if (tmp != i) {\n a[tmp] ^= a[i];\n a[i] ^= a[tmp];\n a[tmp] ^= a[i];\n }\n }\n }\n\n private static class InputReader {\n private final BufferedReader reader;\n private StringTokenizer tokenizer;\n\n public InputReader(InputStream in) {\n reader = new BufferedReader(new InputStreamReader(in));\n }\n\n public int[] nextIntArray(int size) {\n int[] array = new int[size];\n for (int i = 0; i < size; ++i) {\n array[i] = nextInt();\n }\n return array;\n }\n\n public long[] nextLongArray(int size) {\n long[] array = new long[size];\n for (int i = 0; i < size; ++i) {\n array[i] = nextLong();\n }\n return array;\n }\n\n public double[] nextDoubleArray(int size) {\n double[] array = new double[size];\n for (int i = 0; i < size; ++i) {\n array[i] = nextDouble();\n }\n return array;\n }\n\n public String[] nextStringArray(int size) {\n String[] array = new String[size];\n for (int i = 0; i < size; ++i) {\n array[i] = next();\n }\n return array;\n }\n\n public boolean[][] nextBooleanTable(int rows, int columns, char trueCharacter) {\n boolean[][] table = new boolean[rows][columns];\n for (int i = 0; i < rows; ++i) {\n String row = next();\n assert row.length() == columns;\n for (int j = 0; j < columns; ++j) {\n table[i][j] = (row.charAt(j) == trueCharacter);\n }\n }\n return table;\n }\n\n public char[][] nextCharTable(int rows, int columns) {\n char[][] table = new char[rows][];\n for (int i = 0; i < rows; ++i) {\n table[i] = next().toCharArray();\n assert table[i].length == columns;\n }\n return table;\n }\n\n public int[][] nextIntTable(int rows, int columns) {\n int[][] table = new int[rows][columns];\n for (int i = 0; i < rows; i++) {\n for (int j = 0; j < columns; j++) {\n table[i][j] = nextInt();\n }\n }\n return table;\n }\n\n public long[][] nextLongTable(int rows, int columns) {\n long[][] table = new long[rows][columns];\n for (int i = 0; i < rows; i++) {\n for (int j = 0; j < columns; j++) {\n table[i][j] = nextLong();\n }\n }\n return table;\n }\n\n public double[][] nextDoubleTable(int rows, int columns) {\n double[][] table = new double[rows][columns];\n for (int i = 0; i < rows; i++) {\n for (int j = 0; j < columns; j++) {\n table[i][j] = nextDouble();\n }\n }\n return table;\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n public long nextLong() {\n return Long.parseLong(next());\n }\n\n public double nextDouble() {\n return Double.parseDouble(next());\n }\n\n public BigInteger nextBigInteger() {\n return new BigInteger(next());\n }\n\n public boolean hasNext() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n String line = readLine();\n if (line == null) {\n return false;\n }\n tokenizer = new StringTokenizer(line);\n }\n return true;\n }\n\n public String next() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n tokenizer = new StringTokenizer(readLine());\n }\n return tokenizer.nextToken();\n }\n\n public String readLine() {\n String line;\n try {\n line = reader.readLine();\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n return line;\n }\n }\n}", "python": "n = int(input())\na = sorted(map(int, input().split()))\nmex = 1\nfor v in a:\n\tif(v >= mex):\n\t\tmex = mex + 1\nprint(mex)\n\t\t\t\n" }
Codeforces/705/A
# Hulk Dr. Bruce Banner hates his enemies (like others don't). As we all know, he can barely talk when he turns into the incredible Hulk. That's why he asked you to help him to express his feelings. Hulk likes the Inception so much, and like that his feelings are complicated. They have n layers. The first layer is hate, second one is love, third one is hate and so on... For example if n = 1, then his feeling is "I hate it" or if n = 2 it's "I hate that I love it", and if n = 3 it's "I hate that I love that I hate it" and so on. Please help Dr. Banner. Input The only line of the input contains a single integer n (1 ≤ n ≤ 100) — the number of layers of love and hate. Output Print Dr.Banner's feeling in one line. Examples Input 1 Output I hate it Input 2 Output I hate that I love it Input 3 Output I hate that I love that I hate it
[ { "input": { "stdin": "2\n" }, "output": { "stdout": "I hate that I love it\n" } }, { "input": { "stdin": "1\n" }, "output": { "stdout": "I hate it\n" } }, { "input": { "stdin": "3\n" }, "output": { "stdout": "I hate that I love that I hate it\n" } }, { "input": { "stdin": "18\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "57\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "100\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "86\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "34\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "82\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "99\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "81\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "19\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "10\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "98\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "5\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "4\n" }, "output": { "stdout": "I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "85\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "76\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "77\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "33\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "48\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "32\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "9\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "30\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "63\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "7\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "45\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "42\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "56\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "89\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "78\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "69\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "93\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "23\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "75\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "17\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "64\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "70\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "13\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "97\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "79\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "52\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "66\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "22\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "12\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love it\n" } }, { "input": { "stdin": "27\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "11\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "29\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "73\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } }, { "input": { "stdin": "87\n" }, "output": { "stdout": "I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate that I love that I hate it\n" } } ]
{ "tags": [ "implementation" ], "title": "Hulk" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint main() {\n int n;\n cin >> n;\n for (int i = 0; i < n; i++) {\n if (i % 2 != 0)\n cout << \"I love \";\n else\n cout << \"I hate \";\n if (i + 1 < n) cout << \"that \";\n }\n cout << \"it\" << endl;\n return 0;\n}\n", "java": "import java.util.Scanner;\n\npublic class Hulk {\n public static void main(String args[]) {\n\n Scanner s = new Scanner(System.in);\n int n = s.nextInt();\n s.close();\n for (int i = 1; i < n+1; i++) {\n if (i%2!=0)System.out.print(\"I hate \");\n else {System.out.print(\"I love \");}\n if (i!=n)System.out.print(\"that \");\n else{System.out.print(\"it\");}\n }\n } \n}\n", "python": "a = int(input())\nc =0\n\nwhile a > c:\n c +=1\n if c %2 ==0:\n print(\"I love\",end=\" \")\n else:\n print(\"I hate\",end=\" \")\n if a!=c:\n print(\"that\",end=\" \")\n else:\n print(\"it\", end=\" \")" }
Codeforces/727/D
# T-shirts Distribution The organizers of a programming contest have decided to present t-shirts to participants. There are six different t-shirts sizes in this problem: S, M, L, XL, XXL, XXXL (sizes are listed in increasing order). The t-shirts are already prepared. For each size from S to XXXL you are given the number of t-shirts of this size. During the registration, the organizers asked each of the n participants about the t-shirt size he wants. If a participant hesitated between two sizes, he could specify two neighboring sizes — this means that any of these two sizes suits him. Write a program that will determine whether it is possible to present a t-shirt to each participant of the competition, or not. Of course, each participant should get a t-shirt of proper size: * the size he wanted, if he specified one size; * any of the two neibouring sizes, if he specified two sizes. If it is possible, the program should find any valid distribution of the t-shirts. Input The first line of the input contains six non-negative integers — the number of t-shirts of each size. The numbers are given for the sizes S, M, L, XL, XXL, XXXL, respectively. The total number of t-shirts doesn't exceed 100 000. The second line contains positive integer n (1 ≤ n ≤ 100 000) — the number of participants. The following n lines contain the sizes specified by the participants, one line per participant. The i-th line contains information provided by the i-th participant: single size or two sizes separated by comma (without any spaces). If there are two sizes, the sizes are written in increasing order. It is guaranteed that two sizes separated by comma are neighboring. Output If it is not possible to present a t-shirt to each participant, print «NO» (without quotes). Otherwise, print n + 1 lines. In the first line print «YES» (without quotes). In the following n lines print the t-shirt sizes the orginizers should give to participants, one per line. The order of the participants should be the same as in the input. If there are multiple solutions, print any of them. Examples Input 0 1 0 1 1 0 3 XL S,M XL,XXL Output YES XL M XXL Input 1 1 2 0 1 1 5 S M S,M XXL,XXXL XL,XXL Output NO
[ { "input": { "stdin": "0 1 0 1 1 0\n3\nXL\nS,M\nXL,XXL\n" }, "output": { "stdout": "YES\nXL\nM\nXXL\n" } }, { "input": { "stdin": "1 1 2 0 1 1\n5\nS\nM\nS,M\nXXL,XXXL\nXL,XXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "5 1 5 2 4 3\n20\nL,XL\nS,M\nL,XL\nXXL,XXXL\nS,M\nS,M\nXL,XXL\nL,XL\nS,M\nL,XL\nS,M\nM,L\nXXL,XXXL\nXXL,XXXL\nL\nXXL,XXXL\nXL,XXL\nM,L\nS,M\nXXL\n" }, "output": { "stdout": "YES\nL\nS\nL\nXXL\nS\nS\nXXL\nXL\nS\nXL\nS\nL\nXXXL\nXXXL\nL\nXXXL\nXXL\nL\nM\nXXL\n" } }, { "input": { "stdin": "1 2 4 4 1 1\n10\nXL\nXL\nS,M\nL\nM,L\nL\nS,M\nM\nXL,XXL\nXL\n" }, "output": { "stdout": "YES\nXL\nXL\nS\nL\nL\nL\nM\nM\nXL\nXL\n" } }, { "input": { "stdin": "0 0 0 1 0 0\n1\nXL\n" }, "output": { "stdout": "YES\nXL\n" } }, { "input": { "stdin": "1 3 0 2 2 2\n10\nL,XL\nS,M\nXXL,XXXL\nS,M\nS,M\nXXXL\nXL,XXL\nXXL\nS,M\nXL\n" }, "output": { "stdout": "YES\nXL\nS\nXXXL\nM\nM\nXXXL\nXXL\nXXL\nM\nXL\n" } }, { "input": { "stdin": "5 6 0 0 6 3\n20\nXXL,XXXL\nS,M\nS,M\nXXL,XXXL\nS\nS\nXXL,XXXL\nM\nS,M\nXXL,XXXL\nS\nM\nXXXL\nXXL,XXXL\nS,M\nXXXL\nXXL,XXXL\nS,M\nS\nXXL,XXXL\n" }, "output": { "stdout": "YES\nXXL\nS\nM\nXXL\nS\nS\nXXL\nM\nM\nXXL\nS\nM\nXXXL\nXXL\nM\nXXXL\nXXL\nM\nS\nXXXL\n" } }, { "input": { "stdin": "4 8 8 1 6 3\n30\nS,M\nM,L\nM\nXXL,XXXL\nXXL\nM,L\nS,M\nS,M\nXXL,XXXL\nL\nL\nS,M\nM\nL,XL\nS,M\nM,L\nL\nXXL,XXXL\nS,M\nXXL\nM,L\nM,L\nM,L\nXXL\nXXL,XXXL\nM,L\nS,M\nXXL\nM,L\nXXL,XXXL\n" }, "output": { "stdout": "YES\nS\nM\nM\nXXL\nXXL\nM\nS\nS\nXXL\nL\nL\nS\nM\nXL\nM\nM\nL\nXXXL\nM\nXXL\nL\nL\nL\nXXL\nXXXL\nL\nM\nXXL\nL\nXXXL\n" } }, { "input": { "stdin": "1 3 0 0 4 2\n10\nXXL\nS,M\nXXXL\nS,M\nS\nXXL,XXXL\nXXL\nXXL,XXXL\nM\nXXL,XXXL\n" }, "output": { "stdout": "YES\nXXL\nM\nXXXL\nM\nS\nXXL\nXXL\nXXL\nM\nXXXL\n" } }, { "input": { "stdin": "9 12 3 8 4 14\n30\nS,M\nS,M\nXL\nXXXL\nXXL,XXXL\nXXL,XXXL\nXXXL\nS,M\nXXL,XXXL\nM,L\nXXL\nXXL,XXXL\nXL,XXL\nL,XL\nXXL,XXXL\nM\nS,M\nXXXL\nXXL,XXXL\nXXL,XXXL\nM\nM,L\nS,M\nS,M\nXXL,XXXL\nXL,XXL\nXXL,XXXL\nXXL,XXXL\nS,M\nM,L\n" }, "output": { "stdout": "YES\nS\nS\nXL\nXXXL\nXXL\nXXL\nXXXL\nS\nXXL\nM\nXXL\nXXXL\nXL\nL\nXXXL\nM\nS\nXXXL\nXXXL\nXXXL\nM\nM\nS\nS\nXXXL\nXL\nXXXL\nXXXL\nS\nM\n" } }, { "input": { "stdin": "0 0 0 0 1 0\n1\nXXL\n" }, "output": { "stdout": "YES\nXXL\n" } }, { "input": { "stdin": "9 8 1 7 2 3\n20\nL,XL\nM,L\nS\nXL,XXL\nM,L\nXL,XXL\nS\nL,XL\nS,M\nS,M\nXXL,XXXL\nS,M\nS,M\nS,M\nXL,XXL\nL\nXXL,XXXL\nS,M\nXL,XXL\nM,L\n" }, "output": { "stdout": "YES\nXL\nM\nS\nXL\nM\nXL\nS\nXL\nS\nS\nXXL\nS\nS\nS\nXL\nL\nXXL\nS\nXL\nM\n" } }, { "input": { "stdin": "0 1 0 0 0 0\n1\nM\n" }, "output": { "stdout": "YES\nM\n" } }, { "input": { "stdin": "0 0 1 0 0 0\n1\nL\n" }, "output": { "stdout": "YES\nL\n" } }, { "input": { "stdin": "0 0 0 0 0 1\n1\nXXXL\n" }, "output": { "stdout": "YES\nXXXL\n" } }, { "input": { "stdin": "1 0 0 0 0 0\n1\nS\n" }, "output": { "stdout": "YES\nS\n" } }, { "input": { "stdin": "1 2 3 6 1 2\n10\nXL\nXL\nM\nL,XL\nL,XL\nL,XL\nS\nS,M\nXL\nL,XL\n" }, "output": { "stdout": "YES\nXL\nXL\nM\nL\nL\nL\nS\nM\nXL\nXL\n" } }, { "input": { "stdin": "0 1 0 0 0 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 0 0 0 0 0\n1\nM\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 0 1 0 0 0\n1\nXXXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 0 0 0 0 0\n1\nXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 1 0 0 0 0\n1\nXXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 0 0 0 0 1\n1\nL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 2 3 6 0 2\n10\nXL\nXL\nM\nL,XL\nL,XL\nL,XL\nS\nS,M\nXL\nL,XL\n" }, "output": { "stdout": "YES\nXL\nXL\nM\nL\nL\nL\nS\nM\nXL\nXL\n" } }, { "input": { "stdin": "0 3 0 1 1 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 0 1 0 0 0\n1\nXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 1 1 1 0 1\n1\nS\n" }, "output": { "stdout": "YES\nS\n" } }, { "input": { "stdin": "0 0 0 0 1 0\n1\nL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 0 0 0 0 0\n1\nXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "9 8 1 7 3 3\n20\nL,XL\nM,L\nS\nXL,XXL\nM,L\nXL,XXL\nS\nL,XL\nS,M\nS,M\nXXL,XXXL\nS,M\nS,M\nS,M\nXL,XXL\nL\nXXL,XXXL\nS,M\nXL,XXL\nM,L\n" }, "output": { "stdout": "YES\nXL\nM\nS\nXL\nM\nXL\nS\nXL\nS\nS\nXXL\nS\nS\nS\nXL\nL\nXXL\nS\nXL\nM\n" } }, { "input": { "stdin": "0 0 1 0 0 0\n1\nXXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 0 0 0 0 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 2 0 1 0 1\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 0 0 0 0 1\n1\nL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 0 0 0 0 0\n1\nL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 0 0 0 0 0\n1\nXXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 1 0 1 0 1\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "14 12 3 8 4 14\n30\nS,M\nS,M\nXL\nXXXL\nXXL,XXXL\nXXL,XXXL\nXXXL\nS,M\nXXL,XXXL\nM,L\nXXL\nXXL,XXXL\nXL,XXL\nL,XL\nXXL,XXXL\nM\nS,M\nXXXL\nXXL,XXXL\nXXL,XXXL\nM\nM,L\nS,M\nS,M\nXXL,XXXL\nXL,XXL\nXXL,XXXL\nXXL,XXXL\nS,M\nM,L\n" }, "output": { "stdout": "YES\nS\nS\nXL\nXXXL\nXXL\nXXL\nXXXL\nS\nXXL\nM\nXXL\nXXXL\nXL\nL\nXXXL\nM\nS\nXXXL\nXXXL\nXXXL\nM\nM\nS\nS\nXXXL\nXL\nXXXL\nXXXL\nS\nM\n" } }, { "input": { "stdin": "0 0 0 1 1 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 0 0 0 1 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 0 0 1 0 0\n1\nS\n" }, "output": { "stdout": "YES\nS\n" } }, { "input": { "stdin": "0 2 0 1 1 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 2 3 1 0 1\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 2 0 2 0 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "0 0 0 1 1 1\n1\nXL\n" }, "output": { "stdout": "YES\nXL\n" } }, { "input": { "stdin": "0 0 0 1 0 0\n1\nS\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 2 2 1 0 1\n1\nS\n" }, "output": { "stdout": "YES\nS\n" } }, { "input": { "stdin": "1 0 0 1 0 0\n1\nXXXL\n" }, "output": { "stdout": "NO\n" } }, { "input": { "stdin": "1 2 0 1 0 1\n1\nS\n" }, "output": { "stdout": "YES\nS\n" } }, { "input": { "stdin": "0 3 0 1 0 1\n1\nS\n" }, "output": { "stdout": "NO\n" } } ]
{ "tags": [ "constructive algorithms", "flows", "greedy" ], "title": "T-shirts Distribution" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nchar ans[100005][7];\nchar shirts[6][7] = {\"S\", \"M\", \"L\", \"XL\", \"XXL\", \"XXXL\"};\nint GetId(char *s) {\n if (s[0] == 'S') return 0;\n if (s[0] == 'M') return 1;\n if (s[0] == 'L') return 2;\n if (s[1] == 'L') return 3;\n if (s[2] == 'L') return 4;\n if (s[3] == 'L') return 5;\n}\nvoid Present(int idp, int idc) {\n int l = strlen(shirts[idc]);\n for (int i = 0; i <= l; ++i) ans[idp][i] = shirts[idc][i];\n}\nint main() {\n int a[10];\n vector<int> g[10];\n for (int i = 0; i < 6; ++i) g[i].clear();\n for (int i = 0; i < 6; ++i) scanf(\"%d\", &a[i]);\n int n;\n bool ok = true;\n scanf(\"%d\", &n);\n for (int k = 0; k < n; ++k) {\n char s[1005];\n scanf(\"%s\", s);\n int l = strlen(s), i = 0;\n while (i < l && (s[i] != ',')) ++i;\n if (i != l) {\n s[i] = '\\0';\n g[GetId(s)].push_back(k);\n } else {\n int id = GetId(s);\n if (a[id] > 0) {\n a[id]--;\n Present(k, id);\n } else\n ok = false;\n }\n }\n for (int i = 0; i < 5; ++i) {\n int m = g[i].size();\n if (m <= a[i]) {\n for (int j = 0; j < m; ++j) Present(g[i][j], i);\n } else {\n for (int j = 0; j < a[i]; ++j) Present(g[i][j], i);\n if ((m - a[i]) > a[i + 1]) {\n ok = false;\n break;\n } else {\n for (int j = a[i]; j < m; ++j) Present(g[i][j], i + 1);\n a[i + 1] -= (m - a[i]);\n }\n }\n }\n if (g[5].size() <= a[5]) {\n for (int i = 0; i < g[5].size(); ++i) Present(g[5][i], 5);\n } else\n ok = false;\n if (ok) {\n printf(\"YES\\n\");\n for (int i = 0; i < n; ++i) printf(\"%s\\n\", ans[i]);\n } else\n printf(\"NO\\n\");\n return 0;\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\npublic class A{\n\tstatic String[] give;\n\tstatic int n;\n\tstatic String[] res = new String[] {\"S\",\"M\",\"L\",\"XL\",\"XXL\",\"XXXL\"};\n\n\tstatic String eval(int i) {\n\t\treturn res[i-n];\n\t}\n\tstatic HashMap<String, Integer> rev = new HashMap<String, Integer>();\n\tpublic static class dinic{\n\t\t// Refer to https://www.youtube.com/watch?v=_SdF4KK_dyM\n\t\t\n\t\tList<Edge>[] g;\n\t\tList<Edge>[] v;\n\t\tint val1 = 0;\n\t\tint val2 = 0;\n\t\tvoid reconstruct() {\n\t\t\tv = new List[S+2];\n\t\t\tfor (int i = 0; i < S+2; i++) {\n\t\t\t\tv[i] = new ArrayList<Edge>();\n\t\t\t}\n\t\t\tfor (int i = 0; i < S+2; i++) {\n\t\t\t\tfor (Edge e: g[i]) {\n\t\t\t\t\tif (e.flow > 0 && e.cap != 0) {\n\t\t\t\t\t\tv[i].add(e);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\t\n\t\t\tfor (int num = 0; num < n; num++) {\n\t\t\t\tdfs2(S, 0);\n\t\t\t\tgive[val2] = eval(val1);\n\t\t\t\t\n\t\t\t}\n\t\t}\n\t\tvoid dfs2(int i, int depth) {\n\t\t\tif (depth == 1) {\n\t\t\t\tval1 = i;\n\t\t\t}\n\t\t\telse if (depth == 2) {\n\t\t\t\t val2 = i;\n\t\t\t}\n\t\t\tif (v[i].size() > 0) {\n\t\t\t\tv[i].get(v[i].size()-1).flow--;\n\t\t\t\tdfs2(v[i].get(v[i].size()-1).i, depth+1);\n\t\t\t\tif (v[i].get(v[i].size()-1).flow == 0) v[i].remove(v[i].size()-1);\n\t\t\t}\n\t\t\t\n\t\t}\n\t\t\n\t\t\n\t\t\n\t\tlong ans = 0;\n\t\tint[] l; // level graph\n\t\tint[] next; // Prunes dead ends. If index 0 is a dead end, next[i] = 1, because we skip 0, and so on. \n\t\tint S = 0; // Let S be maxN.\n\n\t\tpublic dinic(int s) { // s is the preicse number of nodes.\n\t\t\tS = s+10; // Let S be the index of the source, and T =S+1 be the index of the of the sink.\n\t\t\tg = new List[S+2];\n\t\t\tl = new int[S+2];\n\t\t\tnext = new int[S+2];\n\t\t\tfor (int i =0 ; i < g.length; i++) {\n\t\t\t\tg[i] = new ArrayList<Edge>();\n\t\t\t}\n\t\t\t\n\t\t}\n\t\t\n\n\t\tlong solve() {\n\t\t\tlong maxflow = 0;\n\t\t\twhile(bfs()) {\n\t\t\t\tArrays.fill(next, 0);\n\t\t\t\tfor (long f = dfs(S, Long.MAX_VALUE/2); f != 0; f = dfs(S, Long.MAX_VALUE/2)) {\n\t\t\t\t\tmaxflow += f;\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn maxflow; \n\t\t}\n\t\t\n\t\tboolean bfs() {\n\t\t\tDeque<Integer> q = new ArrayDeque<Integer>();\n\t\t\tq.add(S);\n\t\t\tArrays.fill(l, -1);\n\t\t\tl[S] = 0;\n\t\t\twhile (!q.isEmpty()) {\n\t\t\t\tint h = q.poll();\n\t\t\t\tfor (Edge e: g[h]) {\n\t\t\t\t\tif (e.remCap() > 0 && l[e.i] == -1) {\n\t\t\t\t\t\tl[e.i] = l[h]+1;\n\t\t\t\t\t\tq.add(e.i);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn l[S+1] != -1; // If its's -1, then we failed. \n\t\t}\n\t\t\n\t\tclass Edge{\n\t\t\t\n\t\t\tint i, flip; // Flip is the opposite edge. Accessible via g[e.i][e.flip].\n\t\t\tlong cap, flow; // max and cur\n\t\t\tpublic Edge(int w, long x, long y, int res) {\n\t\t\t\ti=w;\n\t\t\t\tcap=x;\n\t\t\t\tflow=y;\n\t\t\t\tflip = res;\n\t\t\t}\n\t\t\tpublic long remCap() {\n\t\t\t\t// Remaining capcacity. cap - flow.\n\t\t\t\treturn cap-flow;\n\t\t\t}\n\t\t\tpublic void augment(long flo) {\n\t\t\t\tflow += flo;\n\t\t\t\tg[i].get(flip).flow-=flo;\n\t\t\t}\n\t\t}\n\t\t\n\t\t\n\t\tvoid addEdge(int a, int b, long cap) {\n\t\t\tg[a].add(new Edge(b, cap, 0, g[b].size()));\n\t\t\tg[b].add(new Edge(a, 0, 0, g[a].size()-1));\n\t\t}\n\t\t\n\t\t\n\t\t\n\t\tlong dfs(int i, long flow) {\n\t\t\tif (i == S+1 || flow == 0) return flow;\n\t\t\t\n\t\t\tfor(;next[i] < g[i].size(); next[i]++) {\n\t\t\t\tEdge e= g[i].get(next[i]);\n\t\t\t\tif (e.remCap() > 0 && l[i] + 1== l[e.i]) {\n\t\t\t\t\t\n\t\t\t\t\tlong bottleNeck = dfs(e.i, Long.min(flow, e.remCap()));\n\t\t\t\t\tif (bottleNeck > 0) {\n\t\t\t\t\t\t// Augmenting increases current flow and decreases residual flow.\n\t\t\t\t\t\te.augment(bottleNeck);\n\t\t\t\t\t\t\n\t\t\t\t\t\treturn bottleNeck;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn 0;\n\t\t}\n\t\t//Explanation of how the DFS works\n\t\t// Passing bottleneck through will either reach the sink (in which we return the bottleneck) or 0, which means we can't anymore.\n\t\t// Then, because we called bottleneck first, we can use that new value and recursively assign backwards.\n\t\t// Next[i]++ will only activate if we did not return a bottleneck, in which case we know that this is a dead end.\n\t\t\n\t}\n\t\n\t//public static Reader sc = new Reader();\n\tpublic static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n\n\tpublic static void main(String[] args) throws IOException {\n\t\t//BufferedReader br = new BufferedReader(new FileReader(\"input.in\"));\n\t\t\n\t\tStringTokenizer st = new StringTokenizer(br.readLine());\n\t\tint[] a = new int[6];\n\t\tfor (int i = 0; i < 6; i++) {\n\t\t\ta[i] = Integer.parseInt(st.nextToken());\n\t\t}\n\t\tn = Integer.parseInt(br.readLine());\n\t\tgive = new String[n];\n\t\t\n\t\tdinic d = new dinic(n+6);\n\t\t\n\t\tfor (int i = 0; i < 6; i++) {\n\t\t\td.addEdge(d.S, i+n, a[i]);\n\t\t\trev.put(res[i], i+n);\n\t\t}\n\t\t// Edges n-n+6 are the tshirts, 0-(n-1) = ppl\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tst = new StringTokenizer(br.readLine(), \",\");\n\t\t\t\n\t\t\twhile (st.hasMoreTokens()) {\n\t\t\t\t\n\t\t\t\tString s = st.nextToken();\n\t\t\t\td.addEdge(rev.get(s), i, 1);\n\t\t\t}\n\t\t\td.addEdge(i, d.S+1, 1);\n\t\t}\n\t\t\n\t\tif (d.solve() == n) {\n\t\t\tout.println(\"YES\");\n\t\t\td.reconstruct();\n\t\t\tfor (String s: give) out.println(s);\n\t\t}\n\t\telse out.println(\"NO\");\n\t\t\n\t\tout.close();\n\t}\n\n\tstatic long ceil(long a, long b) {\n\t\treturn (a + b - 1) / b;\n\t}\n\n\tstatic long powMod(long base, long exp, long mod) {\n\t\tif (base == 0 || base == 1)\n\t\t\treturn base;\n\t\tif (exp == 0)\n\t\t\treturn 1;\n\t\tif (exp == 1)\n\t\t\treturn base % mod;\n\t\tlong R = powMod(base, exp / 2, mod) % mod;\n\t\tR *= R;\n\t\tR %= mod;\n\t\tif ((exp & 1) == 1) {\n\t\t\treturn base * R % mod;\n\t\t} else\n\t\t\treturn R % mod;\n\t}\n\n\tstatic long pow(long base, long exp) {\n\t\tif (base == 0 || base == 1)\n\t\t\treturn base;\n\t\tif (exp == 0)\n\t\t\treturn 1;\n\t\tif (exp == 1)\n\t\t\treturn base;\n\t\tlong R = pow(base, exp / 2);\n\t\tif ((exp & 1) == 1) {\n\t\t\treturn R * R * base;\n\t\t} else\n\t\t\treturn R * R;\n\t}\n\n\tstatic class Reader {\n\t\tfinal private int BUFFER_SIZE = 1 << 16;\n\t\tprivate DataInputStream din;\n\t\tprivate byte[] buffer;\n\t\tprivate int bufferPointer, bytesRead;\n\n\t\tpublic Reader() {\n\t\t\tdin = new DataInputStream(System.in);\n\t\t\tbuffer = new byte[BUFFER_SIZE];\n\t\t\tbufferPointer = bytesRead = 0;\n\t\t}\n\n\t\tpublic Reader(String file_name) throws IOException {\n\t\t\tdin = new DataInputStream(new FileInputStream(file_name));\n\t\t\tbuffer = new byte[BUFFER_SIZE];\n\t\t\tbufferPointer = bytesRead = 0;\n\t\t}\n\n\t\tpublic String readLine() throws IOException {\n\t\t\tbyte[] buf = new byte[64]; // line length \n\t\t\tint cnt = 0, c;\n\t\t\twhile ((c = read()) != -1) {\n\t\t\t\tif (c == '\\n') {\n\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\tbuf[cnt++] = (byte) c;\n\t\t\t}\n\t\t\treturn new String(buf, 0, Integer.max(cnt - 1, 0));\n\t\t}\n\n\t\tpublic int nextInt() throws IOException {\n\t\t\tint ret = 0;\n\t\t\tbyte c = read();\n\t\t\twhile (c <= ' ')\n\t\t\t\tc = read();\n\t\t\tboolean neg = (c == '-');\n\t\t\tif (neg)\n\t\t\t\tc = read();\n\t\t\tdo {\n\t\t\t\tret = ret * 10 + c - '0';\n\t\t\t} while ((c = read()) >= '0' && c <= '9');\n\n\t\t\tif (neg)\n\t\t\t\treturn -ret;\n\t\t\treturn ret;\n\t\t}\n\n\t\tpublic long nextLong() throws IOException {\n\t\t\tlong ret = 0;\n\t\t\tbyte c = read();\n\t\t\twhile (c <= ' ')\n\t\t\t\tc = read();\n\t\t\tboolean neg = (c == '-');\n\t\t\tif (neg)\n\t\t\t\tc = read();\n\t\t\tdo {\n\t\t\t\tret = ret * 10 + c - '0';\n\t\t\t} while ((c = read()) >= '0' && c <= '9');\n\t\t\tif (neg)\n\t\t\t\treturn -ret;\n\t\t\treturn ret;\n\t\t}\n\n\t\tpublic double nextDouble() throws IOException {\n\t\t\tdouble ret = 0, div = 1;\n\t\t\tbyte c = read();\n\t\t\twhile (c <= ' ')\n\t\t\t\tc = read();\n\t\t\tboolean neg = (c == '-');\n\t\t\tif (neg)\n\t\t\t\tc = read();\n\n\t\t\tdo {\n\t\t\t\tret = ret * 10 + c - '0';\n\t\t\t} while ((c = read()) >= '0' && c <= '9');\n\n\t\t\tif (c == '.') {\n\t\t\t\twhile ((c = read()) >= '0' && c <= '9') {\n\t\t\t\t\tret += (c - '0') / (div *= 10);\n\t\t\t\t}\n\t\t\t}\n\n\t\t\tif (neg)\n\t\t\t\treturn -ret;\n\t\t\treturn ret;\n\t\t}\n\n\t\tprivate void fillBuffer() throws IOException {\n\t\t\tbytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);\n\t\t\tif (bytesRead == -1)\n\t\t\t\tbuffer[0] = -1;\n\t\t}\n\n\t\tprivate byte read() throws IOException {\n\t\t\tif (bufferPointer == bytesRead)\n\t\t\t\tfillBuffer();\n\t\t\treturn buffer[bufferPointer++];\n\t\t}\n\n\t\tpublic void close() throws IOException {\n\t\t\tif (din == null)\n\t\t\t\treturn;\n\t\t\tdin.close();\n\t\t}\n\t}\n\n\tpublic static PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));\n}\n", "python": "TShirts = list(map(int, input().split()))\nNPers = int(input())\nNeeds = [0,0,0,0,0]\nT = [0 for i in range(10)]\nPers = []\nIsFound = True\n\nif sum(TShirts) < NPers:\n IsFound = False\n\nfor i in range(NPers):\n s = input().split(',')\n Pers.append(0)\n if 'S' in s:\n Pers[-1] += 1\n if 'M' in s:\n Pers[-1] += 2\n if 'L' in s:\n Pers[-1] += 4\n if 'XL' in s:\n Pers[-1] += 8\n if 'XXL' in s:\n Pers[-1] += 16\n if 'XXXL' in s:\n Pers[-1] += 32\n\nfor i in Pers:\n if i==1 :\n TShirts[0] -= 1\n elif i==2 :\n TShirts[1] -= 1\n elif i==4 :\n TShirts[2] -= 1\n elif i==8 :\n TShirts[3] -= 1\n elif i==16 :\n TShirts[4] -= 1\n elif i==32 :\n TShirts[5] -= 1\n\nfor i in TShirts:\n if i < 0 and IsFound:\n IsFound = False\n\nfor i in Pers:\n if (i&1!=0) and (i&2!=0):\n Needs[0] += 1\n elif (i & 2!=0) and (i & 4!=0):\n Needs[1] += 1\n elif (i & 4!=0) and (i & 8!=0):\n Needs[2] += 1\n elif (i & 8!=0) and (i & 16!=0):\n Needs[3] += 1\n elif (i & 16!=0) and (i & 32!=0):\n Needs[4] += 1\n\n\nfor i in range(5):\n while Needs[i] > 0 and TShirts[i]>0:\n Needs[i] -= 1\n TShirts[i] -= 1\n T[2*i] += 1\n while Needs[i] > 0 and TShirts[i+1] > 0:\n Needs[i] -= 1\n TShirts[i+1] -= 1\n T[2*i + 1] += 1\n\nif sum(Needs) > 0:\n IsFound = False\n\nif IsFound:\n print('YES')\n\n for i in range(len(Pers)):\n if T[0] > 0 and Pers[i] == 3:\n Pers[i] -= Pers[i] - 1\n T[0] -= 1\n elif T[1] > 0 and Pers[i] == 3:\n Pers[i] -= Pers[i] - 2\n T[1] -= 1\n for i in range(len(Pers)):\n if T[2] > 0 and Pers[i] == 6:\n Pers[i] -= Pers[i] - 2\n T[2] -= 1\n elif T[3] > 0 and Pers[i] == 6:\n Pers[i] -= Pers[i] - 4\n T[3] -= 1\n for i in range(len(Pers)):\n if T[4] > 0 and Pers[i] == 12:\n Pers[i] -= Pers[i] - 4\n T[4] -= 1\n elif T[5] > 0 and Pers[i] == 12:\n Pers[i] -= Pers[i] - 8\n T[5] -= 1\n for i in range(len(Pers)):\n if T[6] > 0 and Pers[i] == 24:\n Pers[i] -= Pers[i] - 8\n T[6] -= 1\n elif T[7] > 0 and Pers[i] == 24:\n Pers[i] -= Pers[i] - 16\n T[7] -= 1\n for i in range(len(Pers)):\n if T[8] > 0 and Pers[i] == 48:\n Pers[i] -= Pers[i] - 16\n T[8] -= 1\n elif T[9] > 0 and Pers[i] == 48:\n Pers[i] -= Pers[i] - 32\n T[9] -= 1\n\n for i in Pers:\n if i & 1:\n print('S')\n elif i & 2:\n print('M')\n elif i & 4:\n print('L')\n elif i & 8:\n print('XL')\n elif i & 16:\n print('XXL')\n elif i & 32:\n print('XXXL')\nelse:\n print('NO')" }
Codeforces/748/E
# Santa Claus and Tangerines Santa Claus has n tangerines, and the i-th of them consists of exactly ai slices. Santa Claus came to a school which has k pupils. Santa decided to treat them with tangerines. However, there can be too few tangerines to present at least one tangerine to each pupil. So Santa decided to divide tangerines into parts so that no one will be offended. In order to do this, he can divide a tangerine or any existing part into two smaller equal parts. If the number of slices in the part he wants to split is odd, then one of the resulting parts will have one slice more than the other. It's forbidden to divide a part consisting of only one slice. Santa Claus wants to present to everyone either a whole tangerine or exactly one part of it (that also means that everyone must get a positive number of slices). One or several tangerines or their parts may stay with Santa. Let bi be the number of slices the i-th pupil has in the end. Let Santa's joy be the minimum among all bi's. Your task is to find the maximum possible joy Santa can have after he treats everyone with tangerines (or their parts). Input The first line contains two positive integers n and k (1 ≤ n ≤ 106, 1 ≤ k ≤ 2·109) denoting the number of tangerines and the number of pupils, respectively. The second line consists of n positive integers a1, a2, ..., an (1 ≤ ai ≤ 107), where ai stands for the number of slices the i-th tangerine consists of. Output If there's no way to present a tangerine or a part of tangerine to everyone, print -1. Otherwise, print the maximum possible joy that Santa can have. Examples Input 3 2 5 9 3 Output 5 Input 2 4 12 14 Output 6 Input 2 3 1 1 Output -1 Note In the first example Santa should divide the second tangerine into two parts with 5 and 4 slices. After that he can present the part with 5 slices to the first pupil and the whole first tangerine (with 5 slices, too) to the second pupil. In the second example Santa should divide both tangerines, so that he'll be able to present two parts with 6 slices and two parts with 7 slices. In the third example Santa Claus can't present 2 slices to 3 pupils in such a way that everyone will have anything.
[ { "input": { "stdin": "3 2\n5 9 3\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "2 4\n12 14\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "2 3\n1 1\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "1 2\n2\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10 2\n26 27 32 28 22 23 30 26 28 23\n" }, "output": { "stdout": "30\n" } }, { "input": { "stdin": "4 5\n1 2 3 200000\n" }, "output": { "stdout": "25000\n" } }, { "input": { "stdin": "1 3\n31\n" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "20 100\n52 55 53 54 48 47 50 45 52 51 51 51 47 45 50 51 53 55 51 52\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "50 300\n9293 9540 6585 6756 215 6853 4819 3033 5529 8201 4072 4862 4071 5500 5717 229 7696 5440 4407 1108 1680 1974 5414 9053 8480 1030 5556 5551 4741 452 1045 2553 8944 7627 3737 3876 2846 3563 3246 8436 1075 2974 9410 1127 1968 830 1380 7371 6414 6384\n" }, "output": { "stdout": "559\n" } }, { "input": { "stdin": "100 5049\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "100 400\n3640 1748 2277 2703 3458 3707 2414 806 2073 3951 1463 1352 1129 2788 2874 1391 1234 3643 3124 3823 488 538 3991 1014 2695 1660 3853 3843 1865 866 639 2134 1454 2174 759 567 1473 1535 747 1379 1239 2177 2190 960 1137 2916 2723 2148 2895 1187 3811 3058 2666 950 3836 758 918 3551 1122 3238 2174 3028 855 3172 3423 2763 3304 2218 1991 1635 3941 3705 2126 1386 956 2274 405 2391 1040 2632 3313 3557 1320 2786 2330 1840 1753 3525 1314 1719 1739 1260 1132 1626 1499 3963 3505 1577 3944 3359\n" }, "output": { "stdout": "414\n" } }, { "input": { "stdin": "1 3\n15\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1 1\n10000000\n" }, "output": { "stdout": "10000000\n" } }, { "input": { "stdin": "1 200\n199\n" }, "output": { "stdout": "-1\n" } }, { "input": { "stdin": "2 2\n6 10\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "30 10\n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n" }, "output": { "stdout": "60\n" } }, { "input": { "stdin": "1 3\n7\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "5 3\n199999 200000 199999 199999 200000\n" }, "output": { "stdout": "199999\n" } }, { "input": { "stdin": "1 3\n11\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1 1\n10\n" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "20 100\n52 55 53 54 2 47 13 45 52 51 51 51 90 53 50 51 36 55 51 52\n" }, "output": { "stdout": "6" } }, { "input": { "stdin": "20 100\n52 55 53 54 2 47 13 45 52 51 51 51 90 45 50 51 53 55 51 52\n" }, "output": { "stdout": "6" } }, { "input": { "stdin": "30 36\n40 41 46 43 44 12 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n" }, "output": { "stdout": "31" } }, { "input": { "stdin": "30 10\n40 41 42 43 44 12 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n" }, "output": { "stdout": "60" } }, { "input": { "stdin": "5 3\n199999 200000 31626 199999 337931\n" }, "output": { "stdout": "199999" } }, { "input": { "stdin": "1 2\n1\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "4 5\n1 1 1 61267\n" }, "output": { "stdout": "7658" } }, { "input": { "stdin": "20 100\n52 55 53 54 2 47 13 45 52 51 51 51 47 45 50 51 53 55 51 52\n" }, "output": { "stdout": "6" } }, { "input": { "stdin": "100 400\n3640 1748 2277 2703 3458 3707 2414 806 2073 3951 1463 1352 1129 2788 2874 1391 1234 3643 3124 3823 488 538 3991 1014 2695 1660 3853 3843 1865 866 639 2134 1454 2174 759 567 1831 1535 747 1379 1239 2177 2190 960 1137 2916 2723 2148 2895 1187 3811 3058 2666 950 3836 758 918 3551 1122 3238 2174 3028 855 3172 3423 2830 3304 2245 1991 1635 3941 3705 2126 1386 1259 2274 405 2391 1040 2632 3313 3557 1320 2786 2330 1840 1753 3525 1314 1719 1739 1260 1132 1626 1499 3963 3505 1577 3944 3359\n" }, "output": { "stdout": "414" } }, { "input": { "stdin": "100 400\n3640 1748 2277 2703 3458 3707 2414 806 2073 3951 1463 1352 1129 2788 2874 1391 1234 3643 3124 3823 488 538 3991 1014 2695 1660 3853 3843 1865 866 639 2134 1454 2174 759 567 1473 1535 747 1379 1239 2177 2190 960 1137 2916 2723 2148 2895 1187 3811 3058 2666 950 3836 758 918 3551 1122 3238 2174 3028 855 3172 3423 2830 3304 2245 1991 1635 3941 3705 2126 1386 956 2274 405 2391 1040 2632 3313 3557 1320 2786 2330 1840 1753 3525 1314 1719 1739 1260 1132 1626 1499 3963 3505 1577 3944 3359\n" }, "output": { "stdout": "414" } }, { "input": { "stdin": "30 10\n40 41 46 43 44 12 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69\n" }, "output": { "stdout": "60" } }, { "input": { "stdin": "5 3\n199999 200000 141690 199999 200000\n" }, "output": { "stdout": "199999" } }, { "input": { "stdin": "4 3\n1 2 1 96118\n" }, "output": { "stdout": "24029" } }, { "input": { "stdin": "10 2\n26 27 32 28 22 23 28 26 12 23\n" }, "output": { "stdout": "28" } }, { "input": { "stdin": "2 2\n12 14\n" }, "output": { "stdout": "12" } }, { "input": { "stdin": "100 400\n3640 1748 2277 2703 3458 3707 2414 806 2073 3951 1463 1352 1129 2788 2874 1391 1234 3643 3124 3823 488 538 3991 1014 2695 1660 3853 3843 1865 866 639 2134 1454 2174 759 567 1473 1535 747 1379 1239 2177 2190 960 1137 2916 2723 2148 2895 1187 3811 3058 2666 950 3836 758 918 3551 1122 3238 2174 3028 855 3172 3423 2830 3304 2218 1991 1635 3941 3705 2126 1386 956 2274 405 2391 1040 2632 3313 3557 1320 2786 2330 1840 1753 3525 1314 1719 1739 1260 1132 1626 1499 3963 3505 1577 3944 3359\n" }, "output": { "stdout": "414" } }, { "input": { "stdin": "100 5049\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 64 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 124 78 79 80 81 82 83 84 85 86 18 88 89 90 91 92 93 94 95 96 97 98 99 100\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "20 100\n52 55 53 54 2 47 50 45 52 51 51 51 47 45 50 51 53 55 51 52\n" }, "output": { "stdout": "6" } }, { "input": { "stdin": "5 3\n199999 200000 141690 199999 337931\n" }, "output": { "stdout": "199999" } }, { "input": { "stdin": "4 5\n1 1 1 4037\n" }, "output": { "stdout": "505" } }, { "input": { "stdin": "1 3\n1\n" }, "output": { "stdout": "-1" } }, { "input": { "stdin": "10 3\n26 27 32 28 22 23 28 26 12 23\n" }, "output": { "stdout": "28" } }, { "input": { "stdin": "4 5\n1 2 1 96118\n" }, "output": { "stdout": "12015" } }, { "input": { "stdin": "50 300\n9293 9540 6585 6756 215 6853 4819 3033 5529 8201 4072 8773 4071 5500 5717 229 7696 5440 4407 1108 1680 1974 5414 9053 8480 1030 5556 5551 4741 452 1045 2553 8944 7627 3737 3876 2846 3563 3246 8436 1075 2974 2695 1127 1968 830 1380 7371 6414 6384\n" }, "output": { "stdout": "550" } }, { "input": { "stdin": "4 5\n1 2 1 107172\n" }, "output": { "stdout": "13396" } }, { "input": { "stdin": "10 2\n26 27 32 28 22 23 28 26 28 23\n" }, "output": { "stdout": "28" } }, { "input": { "stdin": "100 400\n3640 1748 2277 2703 3458 3707 2414 806 2073 3951 1463 1352 1129 2788 2874 1391 1234 3643 3124 3823 488 538 3991 1014 2695 1660 3853 3843 1865 866 639 2134 1454 2767 759 567 1831 1535 747 1379 1239 2177 2190 960 1137 2916 2723 2148 2895 1187 3811 3058 2666 950 3836 758 918 3551 1122 3238 2174 3028 855 3172 3423 2830 3304 2245 1991 1635 3941 3705 2126 1386 1259 2274 405 2391 1040 2632 3313 3557 1320 2786 2330 1840 1753 3525 1314 1719 1739 1260 1132 1626 1499 3963 3505 1577 3944 3359\n" }, "output": { "stdout": "414" } }, { "input": { "stdin": "50 300\n9293 12930 6585 6756 215 6853 4819 3473 5529 8201 4072 8773 4071 5500 5717 229 7696 5440 4407 1108 1680 1974 5414 9053 8480 1030 5556 5551 4741 452 1045 2553 8944 7627 3737 3876 2846 3563 3246 8436 1075 2974 2695 641 1968 830 2509 7371 6414 6384\n" }, "output": { "stdout": "551" } }, { "input": { "stdin": "20 100\n52 55 53 54 2 47 13 45 52 51 51 51 90 45 50 51 36 55 51 52\n" }, "output": { "stdout": "6" } }, { "input": { "stdin": "50 300\n9293 9540 6585 6756 215 6853 4819 3473 5529 8201 4072 8773 4071 5500 5717 229 7696 5440 4407 1108 1680 1974 5414 9053 8480 1030 5556 5551 4741 452 1045 2553 8944 7627 3737 3876 2846 3563 3246 8436 1075 2974 2695 1127 1968 830 1380 7371 6414 6384\n" }, "output": { "stdout": "550" } } ]
{ "tags": [ "binary search", "data structures", "greedy", "two pointers" ], "title": "Santa Claus and Tangerines" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\ninline void out(int a) { printf(\"%d\\n\", a); }\ninline void out(int a, int b) { printf(\"%d %d\\n\", a, b); }\ninline void outf(double a) { printf(\"%3.lf\\n\", a); }\ninline void outf(double a, double b) { printf(\"%3.lf %3.lf\\n\", a, b); }\ninline void base() {\n ios_base::sync_with_stdio(false);\n cin.tie(0);\n}\nlong long data[1000005];\nlong long dp[10000005];\nlong long calc(long long a, long long bs) {\n if (a < bs) return 0;\n if (a == bs) return 1;\n if (dp[a] != -1) return dp[a];\n long long ret = 0;\n if (a % 2 == 0) {\n ret = 2 * calc(a / 2, bs);\n if (ret == 0) return dp[a] = 1;\n } else {\n ret = calc(a / 2, bs) + calc(a / 2 + 1, bs);\n if (ret == 0) return dp[a] = 1;\n }\n return dp[a] = ret;\n}\nlong long n, k;\nint find(int x) {\n int l = 0, r = n;\n while (l < r) {\n int m = (l + r) / 2;\n if (data[m] < x)\n l = m + 1;\n else\n r = m;\n }\n return l;\n}\nint main() {\n scanf(\"%I64d%I64d\", &n, &k);\n long long l = 0, r = 0;\n for (int(i) = 0; (i) < (n); (i)++) {\n scanf(\"%I64d\", &data[i]);\n r += data[i];\n }\n sort(data, data + n);\n r /= k;\n r++;\n if (r == 1) {\n cout << -1 << endl;\n return 0;\n }\n while (l < r) {\n long long mid = (l + r) / 2;\n int j = find(mid);\n long long tot = 0;\n memset(dp, -1, sizeof dp);\n for (int(i) = (j); (i) <= (n - 1); (i)++) {\n tot += calc(data[i], mid);\n if (tot >= k) break;\n }\n if (tot >= k)\n l = mid + 1;\n else\n r = mid;\n }\n if (l == 1)\n printf(\"-1\\n\");\n else\n printf(\"%I64d\\n\", l - 1);\n return 0;\n}\n", "java": "/* package codechef; // don't place package name! */\n\nimport java.util.*;\nimport java.lang.*;\nimport java.io.*;\n\n/* Name of the class has to be \"Main\" only if the class is public. */\npublic class Main\n{\n static class Reader\n {\n final private int BUFFER_SIZE = 1 << 16;\n private DataInputStream din;\n private byte[] buffer;\n private int bufferPointer, bytesRead;\n \n public Reader()\n {\n din = new DataInputStream(System.in);\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n \n public Reader(String file_name) throws IOException\n {\n din = new DataInputStream(new FileInputStream(file_name));\n buffer = new byte[BUFFER_SIZE];\n bufferPointer = bytesRead = 0;\n }\n \n public String readLine() throws IOException\n {\n byte[] buf = new byte[64]; // line length\n int cnt = 0, c;\n while ((c = read()) != -1)\n {\n if (c == '\\n')\n break;\n buf[cnt++] = (byte) c;\n }\n return new String(buf, 0, cnt);\n }\n \n public int nextInt() throws IOException\n {\n int ret = 0;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n do\n {\n ret = ret * 10 + c - '0';\n } while ((c = read()) >= '0' && c <= '9');\n \n if (neg)\n return -ret;\n return ret;\n }\n \n public long nextLong() throws IOException\n {\n long ret = 0;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n do {\n ret = ret * 10 + c - '0';\n }\n while ((c = read()) >= '0' && c <= '9');\n if (neg)\n return -ret;\n return ret;\n }\n \n public double nextDouble() throws IOException\n {\n double ret = 0, div = 1;\n byte c = read();\n while (c <= ' ')\n c = read();\n boolean neg = (c == '-');\n if (neg)\n c = read();\n \n do {\n ret = ret * 10 + c - '0';\n }\n while ((c = read()) >= '0' && c <= '9');\n \n if (c == '.')\n {\n while ((c = read()) >= '0' && c <= '9')\n {\n ret += (c - '0') / (div *= 10);\n }\n }\n \n if (neg)\n return -ret;\n return ret;\n }\n \n private void fillBuffer() throws IOException\n {\n bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);\n if (bytesRead == -1)\n buffer[0] = -1;\n }\n \n private byte read() throws IOException\n {\n if (bufferPointer == bytesRead)\n fillBuffer();\n return buffer[bufferPointer++];\n }\n \n public void close() throws IOException\n {\n if (din == null)\n return;\n din.close();\n }\n }\n public static int binary(int[] a,int k,int s,int e){\n while(s<e){\n int mid=s+(e-s+1)/2;\n if(util(a,k,mid))\n s=mid;\n else\n e=mid-1;\n }\n return s;\n }\n public static int f(int a,int[] dp,int m){\n if(a<m)\n return 0;\n if(dp[a]!=-1)\n return dp[a];\n dp[a]=Math.max(f(a/2,dp,m)+f(a-a/2,dp,m),a>=m?1:0);\n return dp[a];\n }\n public static boolean util(int[] a,int k,int m){\n int n=a.length;\n int[] dp=new int[10000001];\n for(int i=0;i<10000001;i++){\n dp[i]=-1;\n }\n dp[0]=0;\n dp[1]=1;\n for(int i=n-1;i>=0;i--){\n if(k<=0)\n return true;\n k-=f(a[i],dp,m);\n if(k<=0)\n return true;\n }\n if(k<=0)\n return true;\n else\n return false;\n }\n\tpublic static void main (String[] args) throws java.lang.Exception\n\t{\n\t\t// your code goes here\n\t\tReader s=new Reader();\n\t\tint n=s.nextInt();\n\t\tint k=s.nextInt();\n\t\tint[] a=new int[n];\n\t\tfor(int i=0;i<n;i++)\n\t\t a[i]=s.nextInt();\n\t\tArrays.sort(a);\n\t\tint x=binary(a,k,0,a[n-1]);\n\t\tif(x==0)\n\t\t System.out.println(-1);\n\t\telse\n\t\t System.out.println(x);\n\t}\n}", "python": null }
Codeforces/771/D
# Bear and Company Bear Limak prepares problems for a programming competition. Of course, it would be unprofessional to mention the sponsor name in the statement. Limak takes it seriously and he is going to change some words. To make it still possible to read, he will try to modify each word as little as possible. Limak has a string s that consists of uppercase English letters. In one move he can swap two adjacent letters of the string. For example, he can transform a string "ABBC" into "BABC" or "ABCB" in one move. Limak wants to obtain a string without a substring "VK" (i.e. there should be no letter 'V' immediately followed by letter 'K'). It can be easily proved that it's possible for any initial string s. What is the minimum possible number of moves Limak can do? Input The first line of the input contains an integer n (1 ≤ n ≤ 75) — the length of the string. The second line contains a string s, consisting of uppercase English letters. The length of the string is equal to n. Output Print one integer, denoting the minimum possible number of moves Limak can do, in order to obtain a string without a substring "VK". Examples Input 4 VKVK Output 3 Input 5 BVVKV Output 2 Input 7 VVKEVKK Output 3 Input 20 VKVKVVVKVOVKVQKKKVVK Output 8 Input 5 LIMAK Output 0 Note In the first sample, the initial string is "VKVK". The minimum possible number of moves is 3. One optimal sequence of moves is: 1. Swap two last letters. The string becomes "VKKV". 2. Swap first two letters. The string becomes "KVKV". 3. Swap the second and the third letter. The string becomes "KKVV". Indeed, this string doesn't have a substring "VK". In the second sample, there are two optimal sequences of moves. One is "BVVKV" → "VBVKV" → "VVBKV". The other is "BVVKV" → "BVKVV" → "BKVVV". In the fifth sample, no swaps are necessary.
[ { "input": { "stdin": "4\nVKVK\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "7\nVVKEVKK\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "5\nLIMAK\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "20\nVKVKVVVKVOVKVQKKKVVK\n" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "5\nBVVKV\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "15\nVKKHKKKKZVKKVKV\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "52\nVAVBVCVDVEVFVGVHVIVJVKVLVMVNVOVPVQVRVSVTVUVVVWVXVYVZ\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "75\nVAKKVKVKKZVVZAVKKVKVZKKVKVVKKAVKKKVVZVKVKVKKKKVVVVKKVZKVVKKKVAKKZVKKVKVVKVK\n" }, "output": { "stdout": "36\n" } }, { "input": { "stdin": "51\nAVVVVVVVVVVKKKKKKKKKKVVVVVVVVVVVVVVVKKKKKKKKKKKKKKK\n" }, "output": { "stdout": "135\n" } }, { "input": { "stdin": "6\nVVOKKK\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "75\nAZKZWAOZZLTZIZTAYKOALAAKKKZAASKAAZFHVZKZAAZUKAKZZBIAZZWAZZZZZPZZZRAZZZAZJZA\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "72\nAVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKB\n" }, "output": { "stdout": "30\n" } }, { "input": { "stdin": "7\nVVVKKKO\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "2\nKV\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "75\nKVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "50\nKKAKVVNAVVVVKKVKKZVKKKKVKFTVVKKVVVVVZVLKKKKKKVKVVV\n" }, "output": { "stdout": "11\n" } }, { "input": { "stdin": "68\nKKVVVVVVVVVVKKKKKKKKKKKKKKKKKKKKVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVKKKKKV\n" }, "output": { "stdout": "400\n" } }, { "input": { "stdin": "10\nVVKAVZVAAZ\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "3\nKKV\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "1\nZ\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "75\nKVVKCVKVVVVKVVVKVKVAVVMVVVVVKKVVVKVVVVVKKVVVVVKVVKVVVKKKKKVKKVKAVVVVVVVVVVK\n" }, "output": { "stdout": "71\n" } }, { "input": { "stdin": "74\nVJVKVUKVVVVVVKVLVKKVVKZVNZVKKVVVAVVVKKAKZKZVAZVVKVKKZKKVNAVAKVKKCVVVKKVKVV\n" }, "output": { "stdout": "19\n" } }, { "input": { "stdin": "75\nVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK\n" }, "output": { "stdout": "1406\n" } }, { "input": { "stdin": "3\nKVV\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "74\nZKKKVVVVVVVVVVKKKKKEVVKKVVVKKKVVVVKKKKVVVVVVVVVVVVVVVVVVKKKKKKKKKKKKKKKKKK\n" }, "output": { "stdout": "98\n" } }, { "input": { "stdin": "52\nAKBKCKDKEKFKGKHKIKJKKKLKMKNKOKPKQKRKSKTKUKVKWKXKYKZK\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "10\nKKZKKVKZKV\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "75\nVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKV\n" }, "output": { "stdout": "703\n" } }, { "input": { "stdin": "75\nVVKVKKKVKVVKKKKKVVKKKKVVVKVKKKAVAKKKVVKVKEVVVVVVVVKKKKKVVVVVKVVVKKKVVKVVKVV\n" }, "output": { "stdout": "114\n" } }, { "input": { "stdin": "67\nVVVVKKAVVKVKKVVVVKKAVVKVKKAOVVVVKKAVVKVKKVVVVKKAVVKVKKVVVVKKAVVKVKK\n" }, "output": { "stdout": "44\n" } }, { "input": { "stdin": "15\nVOKVOKVVKKKKKKK\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "74\nKKKZKVKKKKVKKKKVKVZKKKZKKKKKZKVKKZZKKBVKKVAKVKVKZVVKKKKKKKKKVKKVVKKVVKKKVK\n" }, "output": { "stdout": "45\n" } }, { "input": { "stdin": "52\nZVKVVKKKVKKZKZVKVVKKKVKKZKZVKVVKKKVKKZKZVKVVKKKVKKZK\n" }, "output": { "stdout": "28\n" } }, { "input": { "stdin": "75\nKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "75\nAJAKVZASUKAYZFSZRPAAVAGZKFZZHZZZKKKVLQAAVAHQHAZCVEZAAZZAAZIAAAZKKAAUKROVKAK\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "75\nVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVK\n" }, "output": { "stdout": "74\n" } }, { "input": { "stdin": "73\nAVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKB\n" }, "output": { "stdout": "32\n" } }, { "input": { "stdin": "63\nKKKVVVKAAKVVVTVVVKAUVKKKVKVKKVKVKVVKVKKVKVKKKQVKVVVKVKKVKKKKKKZ\n" }, "output": { "stdout": "43\n" } }, { "input": { "stdin": "75\nVZVVVZAUVZZTZZCTJZAVZVSVAAACVAHZVVAFZSVVAZAZVXVKVZVZVVZTAZREOVZZEVAVBAVAAAF\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "74\nVVVKVKKKAZVVVKKKKKVVVVKKVVVKKVAKVVVVVVKVKVKVVMVVKVVVKVKKVVVVVKVKKKVVVXKVVK\n" }, "output": { "stdout": "66\n" } }, { "input": { "stdin": "17\nQZVRZKDKMZZAKKZVA\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "5\nVKOVK\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "22\nVKKVKVKKVKVKZKKVKVAKKK\n" }, "output": { "stdout": "14\n" } }, { "input": { "stdin": "75\nKVKVVKVKVKVVVVVKVKKKVKVVKVVKVVKKKKEKVVVKKKVVKVVVVVVVKKVKKVVVKAKVVKKVVVVVKUV\n" }, "output": { "stdout": "103\n" } }, { "input": { "stdin": "64\nVVKKVAVBVCVDVEVFVGVHVIVJVKVLVMVNVOVPVQVRVSVTVUVVVWVXVYVZVVVKKKKK\n" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "75\nZXPZMAKZZZZZZAZXAZAAPOAFAZUZZAZABQZZAZZBZAAAZZFANYAAZZZZAZHZARACAAZAZDPCAVZ\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "2\nVK\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "67\nVVVVVVVVVVVVVVVVVVVVKKKKKKKKKKKKKKKXVVVVVVVVVVVVVVVVVVVVVVKKKKKKKKK\n" }, "output": { "stdout": "213\n" } }, { "input": { "stdin": "1\nV\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "17\nVAKVAKLIMAKVVVKKK\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "75\nVVKVKKVZAVVKHKRAVKAKVKKVKKAAVKVVNZVKKKVVKMAVVKKWKKVVKVHKKVKVZVVKZZKVKVIKZVK\n" }, "output": { "stdout": "22\n" } }, { "input": { "stdin": "46\nVVFVKKVAKVKKVGVKKKKZKKKKKKKAKKZKVVVVKKZVVKFVKK\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "75\nVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "75\nVFZVZRVZAZJAKAZKAVVKZKVHZZZZAVAAKKAADKNAKRFKAAAZKZVAKAAAJAVKYAAZAKAVKASZAAK\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "12\nVKVKVKVKVKVK\n" }, "output": { "stdout": "21\n" } }, { "input": { "stdin": "72\nAVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK\n" }, "output": { "stdout": "35\n" } }, { "input": { "stdin": "71\nZKKKVVVVVVVKKKKKEVVKKVVVKKKVVVVKKKKVVVVVVVVKKKKKKKKKKKVVVVVVVVVVKKKKKKK\n" }, "output": { "stdout": "153\n" } }, { "input": { "stdin": "65\nVVVVKKAVVKVKKVVVVKKAVVKVKKVVVVKKAVVKVKKVVVVKKAVVKVKKVVVVKKAVVKVKK\n" }, "output": { "stdout": "50\n" } }, { "input": { "stdin": "57\nVVVVKKKKKKAAVVVVVVVVKKKKKKKVVVVVVVVVKKKKKKKKKKKKKKKKKKKKO\n" }, "output": { "stdout": "34\n" } }, { "input": { "stdin": "75\nVVVVVKVKVVKKEVVVVVAKVKKZKVVPKKZKAVKVAKVMZKZVUVKKIVVZVVVKVKZVVVVKKVKVZZVOVKV\n" }, "output": { "stdout": "23\n" } }, { "input": { "stdin": "13\nVVVVKKAVVKVKK\n" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "75\nKAVVZVKKVVKVKVLVVKKKVVAKVVKEVAVVKKVVKVDVVKKVKKVZKKAKKKVKVZAVVKKKZVVDKVVAKZV\n" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "75\nVKVVKVKKKVVZKVZKVKVKVVKIAVKVVVKKKVDKVKKVKAKKAKNAKVZKAAVVAKUKVKKVKKVZVAKKKVV\n" }, "output": { "stdout": "27\n" } }, { "input": { "stdin": "64\nVVKKAKBKCKDKEKFKGKHKIKJKKKLKMKNKOKPKQKRKSKTKUKVKWKXKYKZKVVVKKKKK\n" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "38\nZKKKVVVVVVVVVVKKKKKEVVKKVVVKKKVVVVKKKK\n" }, "output": { "stdout": "40\n" } }, { "input": { "stdin": "6\nVVVKKK\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "75\nKKVVAVVVVKVKAVVAKVKVKVVVVKKKKKAZVKVKVKJVVVAKVVKKKVVVVZVAVVVZKVZAKVVVVVVVAKK\n" }, "output": { "stdout": "18\n" } }, { "input": { "stdin": "1\nK\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "75\nVVKAVKKVAKVXCKKZKKAVVVAKKKKVVKSKVVWVLEVVHVXKKKVKVJKVVVZVVKKKVVKVVVKKKVVKZKV\n" }, "output": { "stdout": "19\n" } }, { "input": { "stdin": "75\nVKKVKKAKKKVVVVVZKKKKVKAVKKAZKKKKVKVVKVVKVVKCKKVVVVVZKKVKKKVKKKVVKVKVKOVVZKK\n" }, "output": { "stdout": "26\n" } }, { "input": { "stdin": "3\nVKK\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "75\nVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK\n" }, "output": { "stdout": "1406\n" } }, { "input": { "stdin": "75\nVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKVKOOOKVKV\n" }, "output": { "stdout": "175\n" } } ]
{ "tags": [ "dp" ], "title": "Bear and Company" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = 80;\nint f[N][N][N][2], s[N][3];\nint kn, vn, xn, pv[N], pk[N], px[N];\nchar ch[N];\nint n;\nvoid upd(int &x, int y) { x = min(x, y); }\nint get(int d, int f, int v, int k, int x) {\n int tot = 0, cnt[3];\n cnt[0] = max(s[d][0] - v, 0);\n cnt[1] = max(s[d][1] - k, 0);\n cnt[2] = max(s[d][2] - x, 0);\n for (register int i = (0); i <= (2); ++i)\n if (i != f) tot += cnt[i];\n return tot;\n}\nsigned main() {\n scanf(\"%d\", &n);\n scanf(\"%s\", ch + 1);\n bool flag = 0;\n for (register int i = (1); i <= (n); ++i) {\n s[i][0] = s[i - 1][0];\n s[i][1] = s[i - 1][1];\n s[i][2] = s[i - 1][2];\n if (ch[i] == 'V')\n s[i][0]++, pv[++vn] = i;\n else if (ch[i] == 'K')\n s[i][1]++, pk[++kn] = i;\n else\n s[i][2]++, px[++xn] = i;\n if (ch[i] == 'K' && ch[i - 1] == 'V') flag = 1;\n }\n if (!flag) {\n printf(\"0\\n\");\n return 0;\n }\n memset(f, 0x3f, sizeof(f));\n f[0][0][0][0] = 0;\n for (register int v = (0); v <= (vn); ++v)\n for (register int k = (0); k <= (kn); ++k)\n for (register int x = (0); x <= (xn); ++x) {\n if (v < vn)\n upd(f[v + 1][k][x][1],\n min(f[v][k][x][0], f[v][k][x][1]) + get(pv[v + 1], 0, v, k, x));\n if (k < kn)\n upd(f[v][k + 1][x][0], f[v][k][x][0] + get(pk[k + 1], 1, v, k, x));\n if (x < xn)\n upd(f[v][k][x + 1][0],\n min(f[v][k][x][0], f[v][k][x][1]) + get(px[x + 1], 2, v, k, x));\n }\n int ans = min(f[vn][kn][xn][0], f[vn][kn][xn][1]);\n printf(\"%d\\n\", ans);\n return 0;\n}\n", "java": "import java.util.*;\nimport java.io.*;\n\npublic class DStress2 {\n\n\tvoid solve() {\n//\t\tstress();\n\t\t int n = in.nextInt();\n\t\t String s = in.nextToken();\n\t\t out.println(solve(s.toCharArray()));\n\t}\n\n\tvoid stress() {\n\t\tRandom rng = new Random(123);\n\t\tfor (int IT = 0; IT < 10000; IT++) {\n\t\t\tint n = 1 + rng.nextInt(12);\n\t\t\tchar[] c = new char[n];\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\tc[i] = \"AVK\".charAt(rng.nextInt(3));\n\t\t\t}\n\n\t\t\tint ans1 = solve(c);\n\t\t\tint ans2 = stupid(c);\n\t\t\tif (ans1 != ans2) {\n\t\t\t\tSystem.err.println(IT + \" \" + ans1 + \" \" + ans2 + \" \" + new String(c));\n\t\t\t\tbreak;\n\t\t\t}\n\t\t}\n\t}\n\n\tint INF = Integer.MAX_VALUE / 3;\n\n\tint stupid(char[] s) {\n\t\tString st = new String(s);\n\t\tQueue<String> q = new ArrayDeque<>();\n\t\tMap<String, Integer> dist = new HashMap<>();\n\t\tq.add(st);\n\t\tdist.put(st, 0);\n\t\twhile (!q.isEmpty()) {\n\t\t\tst = q.poll();\n\t\t\tint cur = dist.get(st);\n\t\t\tif (!st.contains(\"VK\")) {\n\t\t\t\treturn cur;\n\t\t\t}\n\n\t\t\tfor (int pos = 0; pos < st.length() - 1; pos++) {\n\t\t\t\tString next = st.substring(0, pos) + st.charAt(pos + 1) + st.charAt(pos) + st.substring(pos + 2);\n\t\t\t\tif (!dist.containsKey(next)) {\n\t\t\t\t\tdist.put(next, cur + 1);\n\t\t\t\t\tq.add(next);\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\treturn 0;\n\t}\n\n\tint solve(char[] s) {\n\t\tList<Integer> vPos = new ArrayList<>(), kPos = new ArrayList<>(), otherPos = new ArrayList<>();\n\n\t\tfor (int i = 0; i < s.length; i++) {\n\t\t\tif (s[i] == 'V') {\n\t\t\t\tvPos.add(i);\n\t\t\t} else if (s[i] == 'K') {\n\t\t\t\tkPos.add(i);\n\t\t\t} else {\n\t\t\t\totherPos.add(i);\n\t\t\t}\n\t\t}\n\t\t\n\t\tint[][][][] dp = new int[2][vPos.size() + 1][kPos.size() + 1][otherPos.size() + 1];\n\t\t\n\t\tfor (int[][][] i : dp) {\n\t\t\tfor (int[][] j : i) {\n\t\t\t\tfor (int[] k : j) {\n\t\t\t\t\tArrays.fill(k, INF);\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tdp[0][0][0][0] = 0;\n\t\t\n\t\tfor (int V = 0; V <= vPos.size(); V++) {\n\t\t\tfor (int K = 0; K <= kPos.size(); K++) {\n\t\t\t\tfor (int O = 0; O <= otherPos.size(); O++) {\n\t\t\t\t\tfor (int last = 0; last < 2; last++) {\n\t\t\t\t\t\tint cur = dp[last][V][K][O];\n\t\t\t\t\t\tif (cur == INF) {\n\t\t\t\t\t\t\tcontinue;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif (V < vPos.size()) {\n\t\t\t\t\t\t\tdp[1][V + 1][K][O] = Math.min(dp[1][V + 1][K][O], cur + count(vPos.get(V), K, kPos) + count(vPos.get(V), O, otherPos));\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif (K < kPos.size() && last == 0) {\n\t\t\t\t\t\t\tdp[0][V][K + 1][O] = Math.min(dp[0][V][K + 1][O], cur + count(kPos.get(K), V, vPos) + count(kPos.get(K), O, otherPos));\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif (O < otherPos.size()) {\n\t\t\t\t\t\t\tdp[0][V][K][O + 1] = Math.min(dp[0][V][K][O + 1], cur + count(otherPos.get(O), V, vPos) + count(otherPos.get(O), K, kPos));\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\t\n\t\treturn Math.min(dp[0][vPos.size()][kPos.size()][otherPos.size()], dp[1][vPos.size()][kPos.size()][otherPos.size()]);\n\t}\n\n\tprivate int count(Integer integer, int start, List<Integer> kPos) {\n\t\tint ans = 0;\n\t\tfor (int i = start; i < kPos.size(); i++) {\n\t\t\tif (kPos.get(i) < integer) {\n\t\t\t\tans++;\n\t\t\t}\n\t\t}\n\t\treturn ans;\n\t}\n\n\tFastScanner in;\n\tPrintWriter out;\n\n\tvoid run() {\n\t\tin = new FastScanner();\n\t\tout = new PrintWriter(System.out);\n\t\tsolve();\n\t\tout.close();\n\t}\n\n\tclass FastScanner {\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\n\t\tpublic FastScanner() {\n\t\t\tbr = new BufferedReader(new InputStreamReader(System.in));\n\t\t}\n\n\t\tpublic FastScanner(String s) {\n\t\t\ttry {\n\t\t\t\tbr = new BufferedReader(new FileReader(s));\n\t\t\t} catch (FileNotFoundException e) {\n\t\t\t\t// TODO Auto-generated catch block\n\t\t\t\te.printStackTrace();\n\t\t\t}\n\t\t}\n\n\t\tpublic String nextToken() {\n\t\t\twhile (st == null || !st.hasMoreTokens()) {\n\t\t\t\ttry {\n\t\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\n\t\tpublic int nextInt() {\n\t\t\treturn Integer.parseInt(nextToken());\n\t\t}\n\n\t\tpublic long nextLong() {\n\t\t\treturn Long.parseLong(nextToken());\n\t\t}\n\n\t\tpublic double nextDouble() {\n\t\t\treturn Double.parseDouble(nextToken());\n\t\t}\n\t}\n\n\tpublic static void main(String[] args) {\n\t\tnew DStress2().run();\n\t}\n}\n", "python": "n = int(raw_input())\na, b, c = [], [], []\ns = raw_input()\nfrom collections import defaultdict\ndp = defaultdict(lambda : float(\"inf\"))\ndef count(a, st, x):\n ret = 0\n i = st\n while i < len(a) and a[i] < x:\n ret += 1\n i += 1\n return ret\nfor i in xrange(len(s)):\n if s[i] == \"V\":\n a.append(i)\n elif s[i] == \"K\":\n b.append(i)\n else :\n c.append(i)\ndp[(0,0,0,0)] = 0\nfor i in xrange(len(a)+1):\n for j in xrange(len(b)+1):\n for k in xrange(len(c)+1):\n for p in xrange(2):\n if i < len(a):\n dp[(i+1,j,k,1)] = min(dp[(i+1,j,k,1)], dp[(i,j,k,p)] + count(a,i,a[i])+count(b,j,a[i])+count(c,k,a[i]))\n if j < len(b) and p == 0:\n dp[(i,j+1,k,0)] = min(dp[(i,j+1,k,0)], dp[(i,j,k,p)]+count(a,i,b[j])+count(b,j,b[j])+count(c,k,b[j]))\n if k < len(c):\n dp[(i,j,k+1,0)]=min(dp[(i,j,k+1,0)],dp[(i,j,k,p)]+count(a,i,c[k])+count(b,j,c[k])+count(c,k,c[k]))\nprint min(dp[(len(a),len(b),len(c),0)],dp[(len(a),len(b),len(c),1)])\n" }
Codeforces/796/D
# Police Stations Inzane finally found Zane with a lot of money to spare, so they together decided to establish a country of their own. Ruling a country is not an easy job. Thieves and terrorists are always ready to ruin the country's peace. To fight back, Zane and Inzane have enacted a very effective law: from each city it must be possible to reach a police station by traveling at most d kilometers along the roads. <image> There are n cities in the country, numbered from 1 to n, connected only by exactly n - 1 roads. All roads are 1 kilometer long. It is initially possible to travel from a city to any other city using these roads. The country also has k police stations located in some cities. In particular, the city's structure satisfies the requirement enforced by the previously mentioned law. Also note that there can be multiple police stations in one city. However, Zane feels like having as many as n - 1 roads is unnecessary. The country is having financial issues, so it wants to minimize the road maintenance cost by shutting down as many roads as possible. Help Zane find the maximum number of roads that can be shut down without breaking the law. Also, help him determine such roads. Input The first line contains three integers n, k, and d (2 ≤ n ≤ 3·105, 1 ≤ k ≤ 3·105, 0 ≤ d ≤ n - 1) — the number of cities, the number of police stations, and the distance limitation in kilometers, respectively. The second line contains k integers p1, p2, ..., pk (1 ≤ pi ≤ n) — each denoting the city each police station is located in. The i-th of the following n - 1 lines contains two integers ui and vi (1 ≤ ui, vi ≤ n, ui ≠ vi) — the cities directly connected by the road with index i. It is guaranteed that it is possible to travel from one city to any other city using only the roads. Also, it is possible from any city to reach a police station within d kilometers. Output In the first line, print one integer s that denotes the maximum number of roads that can be shut down. In the second line, print s distinct integers, the indices of such roads, in any order. If there are multiple answers, print any of them. Examples Input 6 2 4 1 6 1 2 2 3 3 4 4 5 5 6 Output 1 5 Input 6 3 2 1 5 6 1 2 1 3 1 4 1 5 5 6 Output 2 4 5 Note In the first sample, if you shut down road 5, all cities can still reach a police station within k = 4 kilometers. In the second sample, although this is the only largest valid set of roads that can be shut down, you can print either 4 5 or 5 4 in the second line.
[ { "input": { "stdin": "6 3 2\n1 5 6\n1 2\n1 3\n1 4\n1 5\n5 6\n" }, "output": { "stdout": "2\n4 5 " } }, { "input": { "stdin": "6 2 4\n1 6\n1 2\n2 3\n3 4\n4 5\n5 6\n" }, "output": { "stdout": "1\n3 " } }, { "input": { "stdin": "6 2 4\n1 6\n1 2\n2 3\n3 4\n4 5\n5 6\n" }, "output": { "stdout": "1\n3 " } }, { "input": { "stdin": "2 1 1\n1\n1 2\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "11 1 5\n6\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n1 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 5\n10 6\n6 7\n7 8\n8 9\n5 6\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n4 5\n5 7\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 3\n2 4\n3 2\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "6 3 1\n1 5 6\n1 2\n1 3\n1 4\n1 5\n5 6\n" }, "output": { "stdout": "2\n4 5\n" } }, { "input": { "stdin": "6 2 4\n1 6\n1 2\n2 5\n3 4\n4 5\n5 6\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n6 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 4\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n5 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 3\n2 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 6\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n3 4\n2 7\n5 6\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 3\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n3 4\n3 5\n5 6\n6 7\n7 8\n5 9\n7 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n3 4\n2 5\n5 6\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 3\n2 4\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 3\n2 4\n1 2\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 4\n3 2\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "11 1 5\n6\n1 2\n2 3\n3 4\n4 5\n5 6\n6 11\n7 8\n8 9\n9 10\n10 11\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "6 2 4\n1 6\n1 2\n2 5\n3 6\n4 5\n5 6\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 5\n10 6\n6 7\n7 8\n8 9\n5 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n1 4\n1 5\n10 6\n10 7\n7 8\n8 9\n5 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n2 4\n4 5\n5 6\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 5\n10 8\n6 7\n7 8\n8 9\n5 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n3 4\n2 5\n5 7\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n1 6\n5 7\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "2 1 1\n2\n1 2\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 4\n2 4\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 3\n3 4\n1 6\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n7\n1 2\n1 3\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 10\n5\n1 2\n2 3\n3 4\n2 5\n5 8\n6 7\n7 8\n5 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 3\n3 4\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "6 2 4\n1 6\n1 2\n2 3\n3 4\n4 5\n3 6\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "6 2 4\n1 6\n1 2\n2 3\n6 4\n4 5\n3 6\n" }, "output": { "stdout": "1\n2\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n1 3\n1 4\n1 5\n10 6\n6 7\n7 8\n8 9\n5 10\n" }, "output": { "stdout": "0\n\n" } }, { "input": { "stdin": "10 1 5\n5\n1 2\n2 3\n5 4\n1 5\n5 6\n6 7\n7 8\n8 9\n9 10\n" }, "output": { "stdout": "0\n\n" } } ]
{ "tags": [ "constructive algorithms", "dfs and similar", "dp", "graphs", "shortest paths", "trees" ], "title": "Police Stations" }
{ "cpp": "#include <bits/stdc++.h>\n#pragma warning(disable : 4996)\n#pragma comment(linker, \"/STACK:1048576\")\nusing namespace std;\nint IT_MAX = 1 << 17;\nconst long long MOD = 1000000007;\nconst int INF = 0x3f3f3f3f;\nconst long long LL_INF = 1234567890123456789ll;\nconst double PI = acos(-1);\nconst double ERR = 1e-10;\nvector<pair<int, int> > Ve;\nvector<int> conn[300050];\nbool dchk[300050];\nint rev[300050];\nint main() {\n int N, K, D, i;\n scanf(\"%d %d %d\", &N, &K, &D);\n for (i = 1; i <= K; i++) {\n int t;\n scanf(\"%d\", &t);\n dchk[t] = true;\n }\n for (i = 1; i < N; i++) {\n int t1, t2;\n scanf(\"%d %d\", &t1, &t2);\n conn[t1].push_back(t2);\n conn[t2].push_back(t1);\n Ve.emplace_back(t1, t2);\n }\n vector<int> Vu;\n for (i = 1; i <= N; i++) {\n if (dchk[i]) {\n Vu.push_back(i);\n rev[i] = i;\n }\n }\n for (i = 0; i < Vu.size(); i++) {\n for (auto it : conn[Vu[i]]) {\n if (dchk[it]) continue;\n dchk[it] = true;\n rev[it] = rev[Vu[i]];\n Vu.push_back(it);\n }\n }\n vector<int> Va;\n for (i = 0; i < Ve.size(); i++) {\n int t1 = Ve[i].first, t2 = Ve[i].second;\n if (rev[t1] != rev[t2]) Va.push_back(i + 1);\n }\n printf(\"%d\\n\", (int)Va.size());\n for (auto it : Va) printf(\"%d \", it);\n return !printf(\"\\n\");\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\npublic class D \n{\n\n\tstatic StringBuilder st = new StringBuilder();\n\t\n\t\n\tpublic static void main(String[] args) throws Exception {\n\n\t\tScanner sc = new Scanner(System.in);\n\t\tPrintWriter out = new PrintWriter(System.out);\n\t\t\n\t\t\n\t\tQueue<Integer> q = new LinkedList<>();\n\t\t\n\t\tint n = sc.nextInt() , k = sc.nextInt() , d = sc.nextInt();\n\t\t\n\t\tint [] dist = new int [n] ; \n\t\tArrays.fill(dist, (int)1e9);\n\t\t\n\t\tTreeMap<Edge , Integer> map = new TreeMap<>();\n\t\t\n\t\tArrayList<Integer>[] adjList = new ArrayList[n];\n\t\t\n\t\tfor(int i = 0 ;i < n;i++)\n\t\t\tadjList[i] = new ArrayList<>();\n\t\t\n\t\twhile(k-->0)\n\t\t{\n\t\t\tint x = sc.nextInt() - 1;\n\t\t\tdist[x] = 0 ; \n\t\t\tq.add(x);\n\t\t}\n\t\t\n\t\tfor(int i = 1 ; i < n ; i++)\n\t\t{\n\t\t\tint u = sc.nextInt() - 1 , v = sc.nextInt() - 1 ; \n\t\t\tadjList[u].add(v);\n\t\t\tadjList[v].add(u);\n\t\t\tmap.put(new Edge(u , v) , i );\n\t\t}\n\t\t\n\t\tTreeSet<Edge> taken = new TreeSet<>();\n\t\t\n\t\twhile(!q.isEmpty())\n\t\t{\n\t\t\t\n\t\t\tint u = q.poll();\n\t\t\t\n\t\t\tfor(int v : adjList[u])\n\t\t\t\tif(dist[u] + 1 < dist[v] && dist[u] + 1 <= d)\n\t\t\t\t{\n\t\t\t\t\tdist[v] = dist[u] + 1 ; \n\t\t\t\t\ttaken.add(new Edge(u , v));\n\t\t\t\t\tq.add(v) ; \n\t\t\t\t}\n\t\t\t\n\t\t}\n\t\t\n\t\tTreeSet<Integer> ans = new TreeSet<>();\n\t\t\n\t\tfor(Edge e : map.keySet())\n\t\t\tif(!taken.contains(e))\n\t\t\t\tans.add(map.get(e));\n\t\t\n\t\tout.println(ans.size());\n\t\tfor(int x : ans)out.print(x+\" \");\n\t\t\n\t\t\n\t\t\n\t\tout.flush();\n\t\tout.close();\n\n\t}\n\tstatic class Edge implements Comparable<Edge>\n\t{\n\t\tint u , v ; \n\t\t\n\t\tEdge(int a , int b)\n\t\t{\n\t\t\tu = a ; v = b ; \n\t\t\tif(u > v)\n\t\t\t{\n\t\t\t\tu ^= v ; v ^= u ; u ^= v ; \n\t\t\t}\n\t\t}\n\n\t\t@Override\n\t\tpublic int compareTo(Edge e) \n\t\t{\n\t\t\treturn u != e.u ? u - e.u : v - e.v;\n\t\t}\n\t\t\n\t\t\n\t}\n\t\n\tstatic class Scanner {\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\n\t\tScanner(InputStream in) {\n\t\t\tbr = new BufferedReader(new InputStreamReader(System.in));\n\t\t}\n\n\t\tString next() throws Exception {\n\t\t\twhile (st == null || !st.hasMoreTokens())\n\t\t\t\tst = new StringTokenizer(br.readLine());\n\t\t\treturn st.nextToken();\n\t\t}\n\n\t\tint nextInt() throws Exception {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\n\t\tlong nextLong() throws Exception {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\n\t\tdouble nextDouble() throws Exception {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\n\t}\n\n\tstatic void shuffle(int[] a) {\n\t\tint n = a.length;\n\t\tfor (int i = 0; i < n; i++) {\n\t\t\tint r = i + (int) (Math.random() * (n - i));\n\t\t\tint tmp = a[i];\n\t\t\ta[i] = a[r];\n\t\t\ta[r] = tmp;\n\t\t}\n\t}\n\n}", "python": "from collections import deque\n\ndef bfs(graph, alphas):\n \"\"\"Breadth first search on a graph!\"\"\"\n ans = set()\n n = len(graph)\n q = deque([alpha for alpha in alphas])\n used = [False]*n\n for alpha in q:\n used[alpha] = True\n dist, parents = [0]*n, [-1]*n\n while q:\n v = q.popleft()\n for u in graph[v]:\n #print(v, u)\n if not used[u]:\n used[u] = True\n q.append(u)\n dist[u] = dist[v] + 1\n parents[u] = v\n elif v != parents[u] and u != parents[v]:\n x, y = str(u) + \",\" + str(v), str(v) + \",\" + str(u)\n if x not in ans and y not in ans:\n ans.add(x)\n return ans\n\ndef shortest_path(graph, alpha, omega):\n \"\"\"Returns the shortest path between two vertices!\"\"\"\n used, dist, parents = bfs(graph, alpha)\n if not used[omega]:\n return []\n path = [omega]\n v = omega\n while parents[v] != -1:\n path += [parents[v]]\n v = parents[v]\n return path[::-1]\n\n# ------------------- fast io --------------------\nimport os\nimport sys\nfrom io import BytesIO, IOBase\n\nBUFSIZE = 8192\n\n\nclass FastIO(IOBase):\n newlines = 0\n\n def __init__(self, file):\n self._fd = file.fileno()\n self.buffer = BytesIO()\n self.writable = \"x\" in file.mode or \"r\" not in file.mode\n self.write = self.buffer.write if self.writable else None\n\n def read(self):\n while True:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n if not b:\n break\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines = 0\n return self.buffer.read()\n\n def readline(self):\n while self.newlines == 0:\n b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))\n self.newlines = b.count(b\"\\n\") + (not b)\n ptr = self.buffer.tell()\n self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)\n self.newlines -= 1\n return self.buffer.readline()\n\n def flush(self):\n if self.writable:\n os.write(self._fd, self.buffer.getvalue())\n self.buffer.truncate(0), self.buffer.seek(0)\n\n\nclass IOWrapper(IOBase):\n def __init__(self, file):\n self.buffer = FastIO(file)\n self.flush = self.buffer.flush\n self.writable = self.buffer.writable\n self.write = lambda s: self.buffer.write(s.encode(\"ascii\"))\n self.read = lambda: self.buffer.read().decode(\"ascii\")\n self.readline = lambda: self.buffer.readline().decode(\"ascii\")\n\n\nsys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)\ninput = lambda: sys.stdin.readline().rstrip(\"\\r\\n\")\n\n# ------------------- fast io --------------------\nfrom math import gcd, ceil\n\n\ndef pre(s):\n n = len(s)\n pi = [0] * n\n for i in range(1, n):\n j = pi[i - 1]\n while j and s[i] != s[j]:\n j = pi[j - 1]\n if s[i] == s[j]:\n j += 1\n pi[i] = j\n return pi\n\n\ndef prod(a):\n ans = 1\n for each in a:\n ans = (ans * each)\n return ans\n\ndef lcm(a, b): return a * b // gcd(a, b)\n\n\ndef binary(x, length=16):\n y = bin(x)[2:]\n return y if len(y) >= length else \"0\" * (length - len(y)) + y\n\n\nfor _ in range(int(input()) if not True else 1):\n #n, k = map(int, input().split())\n #a, b = map(int, input().split())\n #c, d = map(int, input().split())\n #a = list(map(int, input().split()))\n #b = list(map(int, input().split()))\n #s = input()\n n, k, d = map(int, input().split())\n police = list(map(int, input().split()))\n graph = [[] for __ in range(n+1)]\n di = {}\n for i in range(n-1):\n x, y = map(int, input().split())\n graph[x] += [y]\n graph[y] += [x]\n di[str(x)+\",\"+str(y)] = i+1\n di[str(y)+\",\"+str(x)] = i+1\n\n ans = bfs(graph, police)\n print(len(ans))\n print(*[di[k] for k in ans])" }
Codeforces/816/E
# Karen and Supermarket On the way home, Karen decided to stop by the supermarket to buy some groceries. <image> She needs to buy a lot of goods, but since she is a student her budget is still quite limited. In fact, she can only spend up to b dollars. The supermarket sells n goods. The i-th good can be bought for ci dollars. Of course, each good can only be bought once. Lately, the supermarket has been trying to increase its business. Karen, being a loyal customer, was given n coupons. If Karen purchases the i-th good, she can use the i-th coupon to decrease its price by di. Of course, a coupon cannot be used without buying the corresponding good. There is, however, a constraint with the coupons. For all i ≥ 2, in order to use the i-th coupon, Karen must also use the xi-th coupon (which may mean using even more coupons to satisfy the requirement for that coupon). Karen wants to know the following. What is the maximum number of goods she can buy, without exceeding her budget b? Input The first line of input contains two integers n and b (1 ≤ n ≤ 5000, 1 ≤ b ≤ 109), the number of goods in the store and the amount of money Karen has, respectively. The next n lines describe the items. Specifically: * The i-th line among these starts with two integers, ci and di (1 ≤ di < ci ≤ 109), the price of the i-th good and the discount when using the coupon for the i-th good, respectively. * If i ≥ 2, this is followed by another integer, xi (1 ≤ xi < i), denoting that the xi-th coupon must also be used before this coupon can be used. Output Output a single integer on a line by itself, the number of different goods Karen can buy, without exceeding her budget. Examples Input 6 16 10 9 10 5 1 12 2 1 20 18 3 10 2 3 2 1 5 Output 4 Input 5 10 3 1 3 1 1 3 1 2 3 1 3 3 1 4 Output 5 Note In the first test case, Karen can purchase the following 4 items: * Use the first coupon to buy the first item for 10 - 9 = 1 dollar. * Use the third coupon to buy the third item for 12 - 2 = 10 dollars. * Use the fourth coupon to buy the fourth item for 20 - 18 = 2 dollars. * Buy the sixth item for 2 dollars. The total cost of these goods is 15, which falls within her budget. Note, for example, that she cannot use the coupon on the sixth item, because then she should have also used the fifth coupon to buy the fifth item, which she did not do here. In the second test case, Karen has enough money to use all the coupons and purchase everything.
[ { "input": { "stdin": "6 16\n10 9\n10 5 1\n12 2 1\n20 18 3\n10 2 3\n2 1 5\n" }, "output": { "stdout": "4" } }, { "input": { "stdin": "5 10\n3 1\n3 1 1\n3 1 2\n3 1 3\n3 1 4\n" }, "output": { "stdout": "5" } }, { "input": { "stdin": "9 7\n3 1\n6 2 1\n8 3 2\n4 1 2\n2 1 2\n3 2 3\n8 7 1\n6 5 5\n8 4 4\n" }, "output": { "stdout": "3" } }, { "input": { "stdin": "13 30\n6 4\n25 5 1\n7 1 2\n9 4 2\n10 2 1\n12 3 1\n5 2 3\n10 9 6\n2 1 1\n5 3 9\n10 2 10\n10 9 6\n3 2 11\n" }, "output": { "stdout": "9" } }, { "input": { "stdin": "2 1000000000\n500000001 1\n500000001 1 1\n" }, "output": { "stdout": "2" } }, { "input": { "stdin": "1 1\n1000000000 1\n" }, "output": { "stdout": "0" } }, { "input": { "stdin": "9 15\n3 1\n6 2 1\n8 3 2\n4 1 2\n2 1 2\n3 2 3\n8 7 1\n6 5 5\n8 4 4\n" }, "output": { "stdout": "7" } }, { "input": { "stdin": "15 1000\n449 257\n881 657 1\n182 101 1\n733 545 2\n277 13 2\n991 689 3\n360 302 3\n965 570 4\n502 178 4\n43 28 5\n446 406 5\n484 152 6\n451 335 6\n874 600 7\n602 34 7\n" }, "output": { "stdout": "7" } }, { "input": { "stdin": "3 100\n100 48\n50 1 1\n50 1 1\n" }, "output": { "stdout": "2" } }, { "input": { "stdin": "1 1\n2 1\n" }, "output": { "stdout": "1" } }, { "input": { "stdin": "1 1000000000\n1000000000 1\n" }, "output": { "stdout": "1" } }, { "input": { "stdin": "8 9\n4 3\n8 3 1\n2 1 1\n4 2 2\n7 2 2\n3 1 2\n7 3 5\n2 1 3\n" }, "output": { "stdout": "4" } }, { "input": { "stdin": "9 7\n6 1\n6 4 1\n8 3 2\n5 1 1\n2 2 2\n3 2 3\n8 4 1\n6 5 4\n8 4 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "8 9\n14 3\n16 6 1\n2 0 1\n5 2 2\n7 0 2\n3 1 3\n7 3 5\n2 0 3\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "6 16\n10 9\n10 5 1\n20 2 1\n20 18 3\n10 2 3\n2 1 5\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "9 7\n6 1\n6 4 1\n8 3 2\n5 1 1\n2 2 2\n3 2 3\n8 4 1\n6 5 4\n3 4 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "1 1100000000\n1000010000 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1 1\n2 2\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "9 7\n3 1\n6 2 1\n8 3 2\n4 1 1\n2 1 2\n3 2 3\n8 4 1\n6 5 5\n9 4 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "13 30\n12 4\n25 5 1\n7 1 2\n9 4 2\n10 2 1\n12 3 1\n5 2 3\n10 9 6\n2 1 1\n5 3 9\n10 2 10\n10 9 6\n3 2 11\n" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "15 1000\n449 257\n881 657 1\n182 101 1\n733 545 2\n277 13 2\n991 689 3\n360 302 3\n965 570 4\n411 178 4\n43 28 5\n446 406 5\n484 88 6\n451 335 6\n874 600 7\n602 34 7\n" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "15 1000\n449 257\n881 657 1\n326 101 1\n733 545 2\n277 13 2\n991 689 3\n360 302 3\n965 570 4\n502 178 4\n43 28 5\n446 406 5\n10 152 6\n451 335 3\n874 600 7\n602 34 7\n" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "13 30\n6 4\n36 5 1\n9 1 2\n9 4 2\n10 2 1\n12 3 1\n5 2 3\n10 9 6\n2 1 1\n5 3 9\n10 2 10\n10 9 6\n3 2 11\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "2 1000000000\n865438312 1\n981342180 1 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8 9\n4 3\n8 3 1\n2 1 1\n4 2 2\n7 2 2\n3 1 3\n7 3 5\n2 1 3\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "9 7\n6 1\n6 4 1\n8 3 2\n5 1 1\n2 2 2\n3 2 3\n7 4 1\n6 5 4\n2 4 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "8 9\n4 3\n8 3 1\n2 1 1\n4 2 2\n7 2 2\n3 2 3\n7 3 5\n2 1 3\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "9 7\n6 1\n6 4 1\n8 3 2\n5 1 1\n2 0 2\n3 2 3\n7 2 1\n6 5 4\n2 4 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "8 9\n7 3\n8 3 1\n2 1 1\n4 2 2\n7 2 2\n3 1 3\n7 3 5\n2 2 3\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "2 1000000000\n865438312 1\n981342180 0 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1 1\n2 0\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "8 10\n14 3\n16 6 1\n2 0 1\n5 2 2\n7 0 2\n3 1 3\n7 3 5\n2 0 3\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "5 10\n4 2\n3 1 1\n3 1 2\n3 1 3\n3 1 4\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "8 9\n4 3\n8 3 1\n2 1 1\n11 2 2\n7 2 2\n3 1 3\n7 3 5\n2 1 3\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "8 9\n4 3\n8 3 1\n2 1 1\n6 2 3\n7 2 2\n2 1 3\n7 3 5\n2 1 3\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "1 0\n3 3\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "9 7\n3 1\n6 4 1\n8 3 2\n4 1 1\n2 2 2\n3 2 3\n8 4 1\n6 5 4\n8 4 4\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1 1\n1 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "13 30\n6 4\n36 8 1\n7 1 2\n9 4 2\n10 2 1\n12 3 1\n5 2 3\n10 9 6\n2 1 1\n5 3 9\n10 2 10\n10 9 6\n3 2 11\n" }, "output": { "stdout": "9\n" } }, { "input": { "stdin": "5 10\n4 1\n3 1 1\n3 1 2\n3 1 3\n3 1 4\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "1 1100000000\n1000000000 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "15 1000\n449 257\n881 657 1\n326 101 1\n733 545 2\n277 13 2\n991 689 3\n360 302 3\n965 570 4\n502 178 4\n43 28 5\n446 406 5\n484 152 6\n451 335 3\n874 600 7\n602 34 7\n" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "8 9\n4 3\n8 3 1\n2 1 1\n4 4 2\n7 2 2\n3 1 2\n7 3 5\n2 1 3\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "2 1000110000\n500000001 1\n500000001 1 1\n" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "9 7\n3 1\n6 2 1\n8 3 2\n4 1 1\n2 1 2\n3 2 3\n8 4 1\n6 5 5\n8 4 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "15 1000\n449 257\n881 657 1\n182 101 1\n733 708 1\n277 13 2\n991 689 3\n360 302 3\n965 570 4\n502 178 4\n43 28 5\n446 406 5\n484 88 6\n451 335 6\n874 600 7\n602 34 7\n" }, "output": { "stdout": "8\n" } }, { "input": { "stdin": "8 6\n4 3\n8 3 1\n2 1 1\n6 2 2\n7 2 2\n3 1 3\n7 3 5\n2 1 3\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "8 10\n14 3\n16 6 1\n2 0 1\n4 2 2\n7 0 2\n3 1 3\n8 3 5\n2 0 3\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "9 7\n3 1\n7 2 1\n8 3 2\n4 1 2\n2 1 2\n3 2 3\n8 7 1\n6 5 5\n8 4 4\n" }, "output": { "stdout": "3\n" } }, { "input": { "stdin": "2 1000000000\n500000001 1\n642663009 1 1\n" }, "output": { "stdout": "1\n" } } ]
{ "tags": [ "brute force", "dp", "trees" ], "title": "Karen and Supermarket" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nvoid fre() {\n freopen(\"c://test//input.in\", \"r\", stdin);\n freopen(\"c://test//output.out\", \"w\", stdout);\n}\ntemplate <class T1, class T2>\ninline void gmax(T1 &a, T2 b) {\n if (b > a) a = b;\n}\ntemplate <class T1, class T2>\ninline void gmin(T1 &a, T2 b) {\n if (b < a) a = b;\n}\nconst int N = 5005, M = 0, Z = 1e9 + 7;\nconst int inf = 0x3f3f3f3f;\ntemplate <class T1, class T2>\ninline void gadd(T1 &a, T2 b) {\n a = (a + b) % Z;\n}\nint casenum, casei;\nint n, m;\nint f[N][N];\nint d[N][N];\nint v[N];\nint c[N];\nvector<int> a[N];\nint sz[N];\nvoid dfs(int x) {\n f[x][0] = d[x][0] = sz[x] = 0;\n for (auto y : a[x]) {\n dfs(y);\n for (int i = sz[x]; ~i; --i) {\n for (int j = 1; j <= sz[y]; ++j) {\n gmin(f[x][i + j], f[x][i] + f[y][j]);\n gmin(f[x][i + j], f[x][i] + d[y][j]);\n gmin(d[x][i + j], d[x][i] + d[y][j]);\n }\n }\n sz[x] += sz[y];\n }\n ++sz[x];\n for (int i = sz[x]; i; --i) {\n f[x][i] = min(f[x][i - 1] + v[x] - c[x], inf);\n gmin(d[x][i], d[x][i - 1] + v[x]);\n }\n}\nint szz[N];\nvoid getszz(int x) {\n szz[x] = 1;\n for (auto y : a[x]) {\n getszz(y);\n szz[x] += szz[y];\n }\n}\nbool cmp(int x, int y) { return szz[x] < szz[y]; }\nint main() {\n while (~scanf(\"%d%d\", &n, &m)) {\n memset(f, 63, sizeof(f));\n memset(d, 63, sizeof(d));\n for (int i = 1; i <= n; ++i) {\n a[i].clear();\n scanf(\"%d%d\", &v[i], &c[i]);\n if (i > 1) {\n int fa;\n scanf(\"%d\", &fa);\n a[fa].push_back(i);\n }\n }\n getszz(1);\n dfs(1);\n for (int i = 1; i <= n; ++i) {\n sort(a[i].begin(), a[i].end(), cmp);\n }\n int ans = 0;\n for (int i = 1; i <= n; ++i) {\n if (f[1][i] <= m || d[1][i] <= m) {\n gmax(ans, i);\n }\n }\n printf(\"%d\\n\", ans);\n }\n return 0;\n}\n", "java": "import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.io.InputStreamReader;\nimport java.util.ArrayList;\nimport java.util.StringTokenizer;\nimport java.io.BufferedReader;\nimport java.util.Collections;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n Scanner in = new Scanner(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n EKarenAndSupermarket solver = new EKarenAndSupermarket();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class EKarenAndSupermarket {\n int n;\n int money;\n ArrayList<Integer>[] adjL;\n int[] price;\n int[] discount;\n int[] size;\n long[][] dpDiscount;\n long[][] dp;\n\n public void solve(int testNumber, Scanner sc, PrintWriter pw) {\n n = sc.nextInt();\n money = sc.nextInt();\n adjL = new ArrayList[n];\n for (int i = 0; i < n; i++)\n adjL[i] = new ArrayList<>();\n price = new int[n];\n discount = new int[n];\n for (int i = 0; i < n; i++) {\n price[i] = sc.nextInt();\n discount[i] = sc.nextInt();\n if (i != 0) {\n adjL[sc.nextInt() - 1].add(i);\n }\n }\n size = new int[n];\n preProcess(0);\n dp = new long[n][n + 1];\n dpDiscount = new long[n][n + 1];\n for (long[] x : dpDiscount) {\n Arrays.fill(x, (long) 1e17);\n }\n for (long[] x : dp) {\n Arrays.fill(x, (long) 1e17);\n }\n for (int i = 0; i < n; i++) {\n dpDiscount[i][0] = 0;\n dp[i][0] = 0;\n }\n dfs(0);\n long max = 0;\n for (int i = 1; i <= n; i++) {\n if (dpDiscount[0][i] <= money)\n max = i;\n }\n pw.println(max);\n }\n\n private void dfs(int u) {\n if (adjL[u].size() == 0) {\n dpDiscount[u][1] = price[u] - discount[u];\n dp[u][1] = price[u];\n return;\n }\n for (int v : adjL[u]) {\n dfs(v);\n }\n Collections.sort(adjL[u], (a, b) -> size[b] - size[a]);\n dpDiscount[u][1] = price[u] - discount[u];\n int max = 1;\n int bigChild = adjL[u].get(0);\n for (int i = n; i >= 2; i--)\n dpDiscount[u][i] = dpDiscount[u][1] + dpDiscount[bigChild][i - 1];\n for (int v : adjL[u]) {\n max += size[v];\n if (v == bigChild)\n continue;\n for (int s = max; s >= 2; s--) {\n for (int j = 0; j <= Math.min(size[v], s - 1); j++)\n dpDiscount[u][s] = Math.min(dpDiscount[u][s], dpDiscount[u][s - j] + dpDiscount[v][j]);\n }\n }\n max = 1;\n dp[u][1] = price[u];\n for (int i = n; i >= 1; i--) {\n dp[u][i] = Math.min(dp[bigChild][i], dp[bigChild][i - 1] + price[u]);\n }\n for (int v : adjL[u]) {\n max += size[v];\n if (v == bigChild)\n continue;\n for (int s = max; s >= 0; s--) {\n for (int j = 0; j <= Math.min(size[v], s); j++)\n dp[u][s] = Math.min(dp[u][s], dp[u][s - j] + dp[v][j]);\n }\n }\n for (int i = 0; i <= n; i++)\n dpDiscount[u][i] = Math.min(dpDiscount[u][i], dp[u][i]);\n }\n\n private void preProcess(int u) {\n size[u] = 1;\n for (int v : adjL[u]) {\n preProcess(v);\n size[u] += size[v];\n }\n }\n\n }\n\n static class Scanner {\n StringTokenizer st;\n BufferedReader br;\n\n public Scanner(InputStream s) {\n br = new BufferedReader(new InputStreamReader(s));\n }\n\n public String next() {\n try {\n while (st == null || !st.hasMoreTokens())\n st = new StringTokenizer(br.readLine());\n return st.nextToken();\n } catch (Exception e) {\n throw new RuntimeException(e);\n }\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n }\n}\n\n", "python": null }
Codeforces/841/E
# On the Bench A year ago on the bench in public park Leha found an array of n numbers. Leha believes that permutation p is right if for all 1 ≤ i < n condition, that api·api + 1 is not perfect square, holds. Leha wants to find number of right permutations modulo 109 + 7. Input First line of input data contains single integer n (1 ≤ n ≤ 300) — length of the array. Next line contains n integers a1, a2, ... , an (1 ≤ ai ≤ 109) — found array. Output Output single integer — number of right permutations modulo 109 + 7. Examples Input 3 1 2 4 Output 2 Input 7 5 2 4 2 4 1 1 Output 144 Note For first example: [1, 2, 4] — right permutation, because 2 and 8 are not perfect squares. [1, 4, 2] — wrong permutation, because 4 is square of 2. [2, 1, 4] — wrong permutation, because 4 is square of 2. [2, 4, 1] — wrong permutation, because 4 is square of 2. [4, 1, 2] — wrong permutation, because 4 is square of 2. [4, 2, 1] — right permutation, because 8 and 2 are not perfect squares.
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749 533 356 790 413 681 419 496 475 100 88 660 374 186 61 437 729 860 1509 538 277 301 667 180 60 393\n" }, "output": { "stdout": "714022784\n" } }, { "input": { "stdin": "50\n873 838 288 87 889 43 720 410 565 651 577 356 740 99 17 592 994 385 777 435 486 118 887 440 749 533 12 790 367 681 615 496 475 110 88 660 374 186 61 437 729 860 1509 538 277 301 667 180 60 393\n" }, "output": { "stdout": "921394687\n" } }, { "input": { "stdin": "50\n297 273 34 268 439 629 600 398 425 833 721 908 830 636 64 509 420 647 499 675 427 599 396 119 798 742 577 355 22 847 322 574 766 453 196 772 808 261 106 964 726 975 173 992 874 89 775 616 404 52\n" }, "output": { "stdout": "714022784\n" } } ]
{ "tags": [ "combinatorics", "dp" ], "title": "On the Bench" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst int N = (int)5e5 + 7;\nconst int inf = (int)1e9 + 7;\nint n;\nint a[303], f[303], cnt[303], sz;\nint c[303][303];\nint d[303][303];\nint ff[303];\nint main() {\n scanf(\"%d\", &n);\n for (int i = 1; i <= n; ++i) {\n scanf(\"%d\", a + i);\n for (int j = 2; j * 1ll * j <= a[i] * 1ll; ++j) {\n while (a[i] % (j * j) == 0) {\n a[i] /= j * j;\n }\n }\n }\n for (int i = 0; i <= n; ++i) {\n c[i][0] = c[i][i] = 1;\n for (int j = 1; j < i; ++j) {\n c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % inf;\n }\n }\n for (int i = 1; i <= n; ++i) {\n if (!f[i]) {\n f[i] = ++sz;\n for (int j = i; j <= n; ++j) {\n if (a[i] == a[j]) {\n f[j] = f[i];\n }\n }\n }\n ++cnt[f[i]];\n }\n ff[0] = 1;\n for (int i = 1; i <= n; ++i) {\n ff[i] = ff[i - 1] * 1ll * i % inf;\n }\n d[1][0] = 1;\n int tot = 0;\n for (int i = 1; i <= sz; ++i) {\n for (int j = 0; j <= tot; ++j) {\n if (!d[i][j]) {\n continue;\n }\n for (int s = 1; s <= min(tot + 1, cnt[i]); ++s) {\n for (int e = 0; e <= j; ++e) {\n int nxt = (j - e) + (cnt[i] - s);\n int ways = d[i][j] * 1ll * ff[cnt[i]] % inf;\n ways = ways * 1ll * c[cnt[i] - 1][s - 1] % inf;\n ways = ways * 1ll * c[j][e] % inf;\n ways = ways * 1ll * c[tot + 1 - j][s - e] % inf;\n (d[i + 1][nxt] += ways) %= inf;\n }\n }\n }\n tot += cnt[i];\n }\n printf(\"%d\", d[sz + 1][0]);\n return 0;\n}\n", "java": "import java.io.BufferedReader;\nimport java.io.IOException;\nimport java.io.InputStreamReader;\nimport java.io.PrintWriter;\nimport java.util.Arrays;\nimport java.util.StringTokenizer;\n\nimport static java.lang.Math.random;\n\n/**\n * @author Don Li\n */\npublic class OnTheBench {\n \n int MOD = (int) 1e9 + 7;\n \n void solve() {\n int n = in.nextInt();\n int[] a = new int[n];\n for (int i = 0; i < n; i++) a[i] = in.nextInt();\n \n int[][] c = new int[n + 1][n + 1];\n for (int i = 0; i <= n; i++) {\n c[i][0] = 1;\n for (int j = 1; j <= i; j++) {\n c[i][j] = (c[i - 1][j - 1] + c[i - 1][j]) % MOD;\n }\n }\n \n int[] fac = new int[n + 1];\n fac[0] = 1;\n for (int i = 1; i <= n; i++) fac[i] = (int) ((long) i * fac[i - 1] % MOD);\n \n for (int i = 0; i < n; i++) a[i] = removeSqures(a[i]);\n \n sort(a);\n \n long[] ways = new long[]{1}; \n for (int i = 0; i < n; ) {\n int j = i + 1;\n while (j < n && a[j] == a[i]) j++;\n int m = j - i;\n \n long[] nways = new long[j + 1];\n for (int x = 0; x < ways.length; x++) {\n long w = ways[x];\n for (int y = 1; y <= m; y++) {\n for (int z = 0; z <= x && z <= y; z++) {\n nways[x - z + (m - y)] = (nways[x - z + (m - y)] + w * c[m - 1][y - 1] % MOD * c[x][z] % MOD * c[i + 1 - x][y - z] % MOD * fac[m] % MOD) % MOD;\n }\n }\n }\n \n ways = nways;\n i = j;\n }\n \n out.println(ways[0]);\n }\n \n void sort(int[] a) {\n int n = a.length;\n for (int i = 0; i < n; i++) {\n int j = (int) (i + random() * (n - i));\n int tmp = a[i];\n a[i] = a[j];\n a[j] = tmp;\n }\n Arrays.sort(a);\n }\n \n int removeSqures(int x) {\n for (int i = 2; i * i <= x; i++) {\n while (x % (i * i) == 0) x /= i * i;\n }\n return x;\n }\n \n public static void main(String[] args) {\n in = new FastScanner(new BufferedReader(new InputStreamReader(System.in)));\n out = new PrintWriter(System.out);\n new OnTheBench().solve();\n out.close();\n }\n \n static FastScanner in;\n static PrintWriter out;\n \n static class FastScanner {\n BufferedReader in;\n StringTokenizer st;\n \n public FastScanner(BufferedReader in) {\n this.in = in;\n }\n \n public String nextToken() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(in.readLine());\n } catch (IOException e) {\n e.printStackTrace();\n }\n }\n return st.nextToken();\n }\n \n public int nextInt() {\n return Integer.parseInt(nextToken());\n }\n \n public long nextLong() {\n return Long.parseLong(nextToken());\n }\n \n public double nextDouble() {\n return Double.parseDouble(nextToken());\n }\n }\n}\n", "python": null }
Codeforces/862/F
# Mahmoud and Ehab and the final stage Mahmoud and Ehab solved Dr. Evil's questions so he gave them the password of the door of the evil land. When they tried to open the door using it, the door gave them a final question to solve before they leave (yes, the door is digital, Dr. Evil is modern). If they don't solve it, all the work will be useless and they won't leave the evil land forever. Will you help them? Mahmoud and Ehab are given n strings s1, s2, ... , sn numbered from 1 to n and q queries, Each query has one of the following forms: * 1 a b (1 ≤ a ≤ b ≤ n), For all the intervals [l;r] where (a ≤ l ≤ r ≤ b) find the maximum value of this expression: (r - l + 1) * LCP(sl, sl + 1, ... , sr - 1, sr) where LCP(str1, str2, str3, ... ) is the length of the longest common prefix of the strings str1, str2, str3, ... . * 2 x y (1 ≤ x ≤ n) where y is a string, consisting of lowercase English letters. Change the string at position x to y. Input The first line of input contains 2 integers n and q (1 ≤ n ≤ 105, 1 ≤ q ≤ 105) – The number of strings and the number of queries, respectively. The second line contains n strings stri consisting of lowercase English letters. The next q lines describe the queries and may have one of the 2 forms: * 1 a b (1 ≤ a ≤ b ≤ n). * 2 x y (1 ≤ x ≤ n), where y is a string consisting of lowercase English letters. the total length of all strings in input won't exceed 105 Output For each query of first type output its answer in a new line. Example Input 5 9 mahmoud mahmoudbadawy drmahmoud drevil mahmoud 1 1 5 1 1 2 1 2 3 2 3 mahmoud 2 4 mahmoud 2 2 mahmouu 1 1 5 1 2 3 1 1 1 Output 14 14 13 30 12 7
[ { "input": { "stdin": "5 9\nmahmoud mahmoudbadawy drmahmoud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmoud\n2 2 mahmouu\n1 1 5\n1 2 3\n1 1 1\n" }, "output": { "stdout": "14\n14\n13\n30\n12\n7\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxgpuamkx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx vgx vgx\n1 4 10\n1 2 10\n2 7 vgx\n2 3 vgx\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 5 9\n1 2 3\n1 1 9\n2 6 vg\n1 5 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpuamkx\n2 6 v\n" }, "output": { "stdout": "12\n21\n3\n10\n20\n27\n4\n18\n10\n27\n" } }, { "input": { "stdin": "10 20\nqn jq wkcexecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 3 6\n2 1 qnwvjal\n2 1 qnwvncksizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "1 1\nhello\n1 1 1\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "5 9\nmahmoud mahmoudbadawy drmahmoud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahdoum\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "14\n14\n13\n18\n12\n7\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud rdevjl mahmoud\n1 1 5\n1 1 1\n2 2 3\n2 3 mahmoud\n2 4 mahlouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n7\n7\n" } }, { "input": { "stdin": "1 1\nolleh\n1 1 1\n" }, "output": { "stdout": "5\n" } }, { "input": { "stdin": "5 9\nduomham mahmoudbadawy drmahmoud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahdoum\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n13\n12\n12\n7\n" } }, { "input": { "stdin": "10 20\nqn jq wkcexecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 3 6\n2 1 qnavjwl\n2 1 qnwvncksizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 1 mahmouc\n2 4 mahmouu\n1 2 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n12\n7\n7\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxgpuamkx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx vgx vgx\n1 4 10\n1 2 10\n2 7 vgx\n2 3 vgx\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 6 9\n1 2 3\n1 1 9\n2 6 vg\n1 5 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpualkx\n2 6 v\n" }, "output": { "stdout": "12\n21\n3\n10\n20\n27\n4\n18\n10\n27\n" } }, { "input": { "stdin": "5 9\nmahmoud mahmoudbadawy drmahmoud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmoud\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "14\n14\n13\n24\n12\n7\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n12\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxgpuamkx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx vgx vgx\n1 4 10\n1 2 10\n2 7 vgx\n2 3 gvx\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 6 9\n1 2 3\n1 1 9\n2 6 vg\n1 5 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpualkx\n2 6 v\n" }, "output": { "stdout": "12\n21\n3\n10\n20\n27\n4\n18\n10\n27\n" } }, { "input": { "stdin": "10 20\nqn jq wkecxecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 3 6\n2 1 qnwvjal\n2 1 snwvnckqizgza\n2 4 bh\n1 3 6\n1 1 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n13\n" } }, { "input": { "stdin": "5 7\nmahmoud mahmoudbadawy drmahmoud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahdoum\n2 2 mahmouu\n1 1 4\n1 2 3\n1 2 1\n" }, "output": { "stdout": "14\n14\n13\n18\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 mahmouu\n1 1 4\n1 2 2\n1 1 1\n" }, "output": { "stdout": "13\n13\n18\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n12\n7\n7\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 1 mahmouc\n2 2 mahmouu\n1 2 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n12\n12\n7\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsamhmoud drevjl mahmoud\n1 2 5\n1 1 2\n1 2 3\n2 2 mahmoud\n2 4 mahmouc\n2 2 mahmouu\n1 2 4\n1 2 3\n2 1 1\n" }, "output": { "stdout": "13\n13\n13\n9\n9\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmoud\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n13\n18\n12\n7\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n18\n" } }, { "input": { "stdin": "10 20\nqn jq wkcexecmdkm kab xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 3 6\n2 1 qnwvjal\n2 1 qnwvncksizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 2 mahmoud\n2 4 mahmouc\n2 2 mahmouu\n1 2 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n13\n9\n9\n7\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud rdevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahlouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n7\n" } }, { "input": { "stdin": "5 2\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy drmahmoud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmoud\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n13\n18\n12\n7\n" } }, { "input": { "stdin": "5 7\nmahmoud mahmoudbadawy drmahmoud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahdoum\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "14\n14\n13\n18\n" } }, { "input": { "stdin": "5 9\nduoahmm mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmoud\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n13\n18\n12\n7\n" } }, { "input": { "stdin": "5 2\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 uuohmam\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n" } }, { "input": { "stdin": "5 9\nmahmoud mahmoudbadawy drmahmnud drevil mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmoud\n2 2 mahmouu\n1 1 5\n1 2 3\n1 1 1\n" }, "output": { "stdout": "14\n14\n13\n30\n12\n7\n" } }, { "input": { "stdin": "10 20\nqn jq wkecxecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 3 6\n2 1 qnwvjal\n2 1 snwvnckqizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud rdevjl mahmoud\n1 1 5\n1 1 1\n2 1 3\n2 3 mahmoud\n2 4 mahlouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n7\n7\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxgpuamkx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx vgx vgx\n1 4 10\n1 2 10\n2 1 vgx\n2 3 vgx\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 5 9\n1 2 3\n1 1 1\n2 6 vg\n1 6 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpuamkx\n2 6 v\n" }, "output": { "stdout": "12\n21\n3\n10\n20\n3\n4\n18\n10\n27\n" } }, { "input": { "stdin": "10 20\nqn jq wkcexecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 3 6\n2 1 qnwvjal\n2 1 snwvnckqizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxkpuamgx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx vgx vgx\n1 4 10\n1 2 10\n2 1 vgx\n2 3 vgx\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 5 9\n1 2 3\n1 1 1\n2 6 vg\n1 6 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpuamkx\n2 6 v\n" }, "output": { "stdout": "12\n14\n3\n10\n12\n3\n4\n18\n10\n18\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud rdevjl mahmoud\n1 1 5\n1 1 2\n2 2 5\n2 3 mahmoud\n2 4 mahlouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n7\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxgpuamkx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx gvx vgx\n1 4 10\n1 2 10\n2 7 vgx\n2 3 vgy\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 5 9\n1 2 3\n1 1 9\n2 6 vg\n1 5 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpuamkx\n2 6 v\n" }, "output": { "stdout": "12\n21\n3\n10\n20\n27\n4\n18\n10\n27\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahlouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n7\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxgpuamkx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx vgx vgx\n1 4 10\n1 2 10\n2 7 vgx\n2 3 vgx\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 6 9\n1 2 3\n1 1 9\n2 6 gv\n1 5 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpualkx\n2 6 v\n" }, "output": { "stdout": "12\n21\n3\n10\n20\n27\n2\n18\n10\n27\n" } }, { "input": { "stdin": "10 20\nqn jq wkcexecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 6 6\n1 5 10\n1 1 5\n2 3 wkc\n1 3 6\n2 1 qnavjwl\n2 1 qnwvncksizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n5\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 4 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n13\n18\n14\n7\n" } }, { "input": { "stdin": "5 8\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n1 2 3\n2 3 mahmoud\n2 4 mahmoud\n2 2 mahmuuo\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n13\n14\n8\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 mahmouu\n1 2 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n18\n12\n7\n" } }, { "input": { "stdin": "10 20\nqn jq wkcexecmdkm bak xrkjwqdyu ossvo oau mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 5 6\n2 1 qnavjwl\n2 1 qnwvncksizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "5 9\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 mahmouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n18\n12\n7\n" } }, { "input": { "stdin": "10 20\nvgxgp vgxgpuamkx vgxgpua vgxgpuamk v v vgxgpu vgxgpuamkx vgx vgx\n1 4 10\n1 2 10\n2 7 vgx\n2 3 vgy\n2 10 v\n2 3 vgx\n1 9 10\n2 6 vgxgpuam\n2 3 vgxgpuamkxks\n2 7 vg\n1 5 9\n1 2 3\n1 1 9\n2 6 vg\n1 5 7\n1 3 10\n1 7 10\n1 2 4\n2 9 vgxgpuamkx\n2 6 v\n" }, "output": { "stdout": "12\n21\n3\n10\n20\n27\n4\n18\n10\n27\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud drevjl mahmoud\n1 1 5\n1 1 2\n2 2 3\n2 3 mahmoud\n2 4 mahmouc\n2 2 malhouu\n1 1 4\n1 2 3\n1 1 2\n" }, "output": { "stdout": "13\n13\n12\n" } }, { "input": { "stdin": "10 20\nqn jq wkcexecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\n2 7 onzpq\n1 4 10\n2 9 xnagta\n2 7 o\n2 7 y\n1 5 6\n1 1 2\n2 2 jhulkujid\n1 3 10\n2 7 cl\n1 3 6\n1 5 10\n1 1 5\n2 3 wkc\n1 5 6\n2 1 qnavjwl\n2 1 qnwvncksizgza\n2 4 bh\n1 3 6\n1 7 10\n" }, "output": { "stdout": "9\n9\n2\n11\n11\n9\n11\n9\n9\n6\n" } }, { "input": { "stdin": "5 7\nmmhaoud mahmoudbadawy dsmahmoud rdevjl mahmoud\n1 1 5\n1 1 2\n2 2 5\n2 3 lahmoud\n2 4 mahlouc\n2 2 mamhouu\n1 1 4\n1 2 3\n1 1 1\n" }, "output": { "stdout": "13\n13\n7\n" } } ]
{ "tags": [ "data structures", "strings" ], "title": "Mahmoud and Ehab and the final stage" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nint N, Q;\nstring S[100005];\nchar Str[100005];\nint X[100005];\nint Left[45][400005], Right[45][400005], Arb[45][400005];\nint Arb2[400005];\nconst int limit = 40;\nint Right2, ans;\nset<int> P;\nint Next[100005], Prev[100005];\nint Aux[100005], Stack[100005];\nvoid Read() {\n scanf(\"%d%d \", &N, &Q);\n for (int i = 1; i <= N; i++) {\n scanf(\"%s\", Str);\n S[i] += (Str);\n }\n}\nint LCP(int a, int b) {\n int i, j;\n for (i = 0, j = 0; i < S[a].size() && j < S[b].size() && S[a][i] == S[b][j];\n i++, j++)\n ;\n return i;\n}\nvoid buildX() {\n for (int i = 1; i < N; i++) {\n X[i] = LCP(i, i + 1);\n if (X[i] > limit) P.insert(i);\n }\n}\nvoid buildTree(int val, int K, int L, int R) {\n if (L == R) {\n if (X[L] >= val) {\n Arb[val][K] = Left[val][K] = Right[val][K] = 1;\n } else\n Arb[val][K] = Left[val][K] = Right[val][K] = 0;\n return;\n }\n buildTree(val, K * 2, L, (L + R) / 2);\n buildTree(val, K * 2 + 1, (L + R) / 2 + 1, R);\n Arb[val][K] = max(Arb[val][K * 2], Arb[val][K * 2 + 1]);\n Arb[val][K] = max(Arb[val][K], Right[val][K * 2] + Left[val][K * 2 + 1]);\n if (Left[val][K * 2] == (L + R) / 2 - L + 1)\n Left[val][K] = Left[val][K * 2] + Left[val][K * 2 + 1];\n else\n Left[val][K] = Left[val][K * 2];\n if (Right[val][K * 2 + 1] == R - (L + R) / 2)\n Right[val][K] = Right[val][K * 2] + Right[val][K * 2 + 1];\n else\n Right[val][K] = Right[val][K * 2 + 1];\n}\nvoid buildTree2(int K, int L, int R) {\n if (L == R) {\n Arb2[K] = S[L].size();\n return;\n }\n buildTree2(K * 2, L, (L + R) / 2);\n buildTree2(K * 2 + 1, (L + R) / 2 + 1, R);\n Arb2[K] = max(Arb2[K * 2], Arb2[K * 2 + 1]);\n}\nvoid Update(int val, int K, int L, int R, int pos, int v) {\n if (L > R || R < pos || L > pos) return;\n if (L == R) {\n Arb[val][K] = Left[val][K] = Right[val][K] = v;\n return;\n }\n Update(val, K * 2, L, (L + R) / 2, pos, v);\n Update(val, K * 2 + 1, (L + R) / 2 + 1, R, pos, v);\n Arb[val][K] = max(Arb[val][K * 2], Arb[val][K * 2 + 1]);\n Arb[val][K] = max(Arb[val][K], Right[val][K * 2] + Left[val][K * 2 + 1]);\n if (Left[val][K * 2] == (L + R) / 2 - L + 1)\n Left[val][K] = Left[val][K * 2] + Left[val][K * 2 + 1];\n else\n Left[val][K] = Left[val][K * 2];\n if (Right[val][K * 2 + 1] == R - (L + R) / 2)\n Right[val][K] = Right[val][K * 2] + Right[val][K * 2 + 1];\n else\n Right[val][K] = Right[val][K * 2 + 1];\n}\nvoid Update2(int K, int L, int R, int pos, int val) {\n if (L > R || L > pos || R < pos) return;\n if (L == R) {\n Arb2[K] = val;\n return;\n }\n if (pos > (L + R) / 2)\n Update2(K * 2 + 1, (L + R) / 2 + 1, R, pos, val);\n else\n Update2(K * 2, L, (L + R) / 2, pos, val);\n Arb2[K] = max(Arb2[K * 2], Arb2[K * 2 + 1]);\n}\nint Query2(int K, int L, int R, int x, int y) {\n if (L > R || L > y || R < x) return 0;\n if (L >= x && R <= y) return Arb2[K];\n int a = Query2(K * 2, L, (L + R) / 2, x, y);\n int b = Query2(K * 2 + 1, (L + R) / 2 + 1, R, x, y);\n return max(a, b);\n}\nvoid Query(int val, int K, int L, int R, int x, int y) {\n if (L > R || L > y || R < x) {\n return;\n }\n if (L >= x && R <= y) {\n ans = max(ans, Arb[val][K]);\n ans = max(ans, Right2 + Left[val][K]);\n if (Right[val][K] == R - L + 1)\n Right2 += Right[val][K];\n else\n Right2 = Right[val][K];\n return;\n }\n Query(val, K * 2, L, (L + R) / 2, x, y);\n Query(val, K * 2 + 1, (L + R) / 2 + 1, R, x, y);\n}\nvoid Upd() {\n int pos;\n scanf(\"%d \", &pos);\n scanf(\"%s\", Str);\n S[pos].clear();\n S[pos] += Str;\n if (pos > 1) {\n if (X[pos - 1] > limit) P.erase(pos - 1);\n X[pos - 1] = LCP(pos - 1, pos);\n if (X[pos - 1] > limit) P.insert(pos - 1);\n int l = min(X[pos - 1], limit);\n for (int i = 1; i <= l; i++) {\n Update(i, 1, 1, N - 1, pos - 1, 1);\n }\n for (int i = X[pos - 1] + 1; i <= limit; i++)\n Update(i, 1, 1, N - 1, pos - 1, 0);\n }\n if (pos < N) {\n if (X[pos] > limit) P.erase(pos);\n X[pos] = LCP(pos, pos + 1);\n if (X[pos] > limit) P.insert(pos);\n int l = min(X[pos], limit);\n for (int i = 1; i <= l; i++) {\n Update(i, 1, 1, N - 1, pos, 1);\n }\n for (int i = X[pos] + 1; i <= limit; i++) Update(i, 1, 1, N - 1, pos, 0);\n }\n Update2(1, 1, N, pos, S[pos].size());\n}\nvoid Qu(int left, int right) {\n long long res = 0;\n if (N == 1) {\n res = max(res, 1LL * Query2(1, 1, N, left, right));\n printf(\"%I64d\\n\", res);\n return;\n }\n for (int i = 1; i <= limit; i++) {\n ans = Right2 = 0;\n if (left < right) Query(i, 1, 1, N - 1, left, right - 1);\n if (ans > 0) res = max(res, 1LL * i * (ans + 1));\n }\n res = max(res, 1LL * Query2(1, 1, N, left, right));\n auto it = P.lower_bound(left);\n int cnt = 0;\n if (it != P.end() && *it < right) {\n Aux[++cnt] = X[*it];\n it = next(it);\n for (; it != P.end(); it = next(it)) {\n if (*it >= right) break;\n if (*it - *prev(it) > 1) {\n Aux[++cnt] = 0;\n }\n Aux[++cnt] = X[*it];\n }\n for (int j = 1; j <= cnt; j++) Next[j] = cnt + 1, Prev[j] = 0;\n int top = 0;\n for (int j = 1; j <= cnt; j++) {\n while (top > 0 && Aux[j] < Aux[Stack[top]]) {\n Next[Stack[top]] = j;\n --top;\n }\n Stack[++top] = j;\n }\n top = 0;\n for (int j = cnt; j >= 1; j--) {\n while (top > 0 && Aux[j] < Aux[Stack[top]]) {\n Prev[Stack[top]] = j;\n --top;\n }\n Stack[++top] = j;\n }\n for (int j = 1; j <= cnt; j++) {\n res = max(res, 1LL * Aux[j] * (Next[j] - Prev[j]));\n }\n }\n printf(\"%I64d\\n\", res);\n}\nint main() {\n Read();\n buildX();\n if (N > 1) {\n for (int i = 1; i <= limit; i++) buildTree(i, 1, 1, N - 1);\n }\n buildTree2(1, 1, N);\n for (int i = 1; i <= Q; i++) {\n int type;\n scanf(\"%d\", &type);\n if (type == 2)\n Upd();\n else {\n int l, r;\n scanf(\"%d%d\", &l, &r);\n Qu(l, r);\n }\n }\n return 0;\n}\n", "java": "import java.io.*;\nimport java.util.*;\n\npublic class Solution {\n\n\n static MyScanner sc;\n private static PrintWriter out;\n static long M = 1000000007;\n\n\n public static void main(String[] s) throws Exception {\n StringBuilder stringBuilder = new StringBuilder();\n\n\n// stringBuilder.append(\"100000 100000 \");\n// Random r = new Random(5);\n// for (int i = 0; i < 100000; i++) {\n// for (int j = 0; j < 4; j++) {\n// stringBuilder.append((char) (r.nextInt(2) + 'a'));\n// }\n// stringBuilder.append(' ');\n// }\n// for (int i = 0; i < 100000; i++) {\n// stringBuilder.append(\"1 \");\n// stringBuilder.append(r.nextInt(10) + 2);\n// stringBuilder.append(' ');\n// stringBuilder.append(r.nextInt(10) + 12);\n// stringBuilder.append(' ');\n// }\n\n//\n// stringBuilder.append(\"10 20\\n\" +\n// \"qn jq wkcexecmdkm bak xrkjwqdyu ossvo oat mbyx xnagxbwe gzay\\n\" +\n// \"2 7 onzpq\\n\" +\n// \"1 4 10\\n\" +\n// \"2 9 xnagta\\n\" +\n// \"2 7 o\\n\" +\n// \"2 7 y\\n\" +\n// \"1 5 6\\n\" +\n// \"1 1 2\\n\" +\n// \"2 2 jhulkujid\\n\" +\n// \"1 3 10\\n\" +\n// \"2 7 cl\\n\" +\n// \"1 3 6\\n\" +\n// \"1 5 10\\n\" +\n// \"1 1 5\\n\" +\n// \"2 3 wkc\\n\" +\n// \"1 3 6\\n\" +\n// \"2 1 qnwvjal\\n\" +\n// \"2 1 qnwvncksizgza\\n\" +\n// \"2 4 bh\\n\" +\n// \"1 3 6\\n\" +\n// \"1 7 10\");\n//\n\n if (stringBuilder.length() == 0) {\n sc = new MyScanner(System.in);\n } else {\n sc = new MyScanner(new BufferedReader(new StringReader(stringBuilder.toString())));\n }\n\n out = new PrintWriter(new OutputStreamWriter(System.out));\n\n initData();\n solve();\n out.flush();\n }\n\n\n private static void initData() {\n }\n\n private static int n;\n\n\n private static void solve() throws IOException {\n n = sc.nextInt();\n int m = sc.nextInt();\n\n\n STree s1 = new STree(n, true);\n\n int[] mmm = new int[n - 1];\n\n\n String[] k = new String[n];\n for (int i = 0; i < n; i++) {\n k[i] = sc.next();\n s1.put(i, k[i].length());\n if (i > 0) {\n mmm[i - 1] = lcp(k[i], k[i - 1]);\n }\n }\n SegmentTreeSegPos segmentTreeSegPos = new SegmentTreeSegPos(mmm);\n\n for (int r = 0; r < m; r++) {\n int t = sc.nextInt();\n if (t == 1) {\n int ll = sc.nextInt() - 1;\n int rr = sc.nextInt() - 1;\n long v1 = s1.max(ll, rr);\n if (rr > ll) {\n v1 = Math.max(segmentTreeSegPos.max(ll, rr), v1);\n }\n out.println(v1);\n } else {\n int p = sc.nextInt() - 1;\n String ttt = sc.next();\n k[p] = ttt;\n s1.put(p, ttt.length());\n if (p > 0) {\n mmm[p - 1] = lcp(k[p], k[p - 1]);\n segmentTreeSegPos.update(p - 1, mmm[p - 1]);\n }\n if (p < n - 1) {\n mmm[p] = lcp(k[p], k[p + 1]);\n segmentTreeSegPos.update(p, mmm[p]);\n }\n }\n }\n\n }\n\n\n public static class SegmentTreeSegPos {\n public int M, H, N;\n public int[][] vasc;\n public int[][] pasc;\n public int[][] vdesc;\n public int[][] pdesc;\n public long[] maxs;\n public int[] lens;\n\n // one word\n public SegmentTreeSegPos(int[] a) {\n N = a.length;\n M = Integer.highestOneBit(Math.max(N - 1, 1)) << 2;\n H = M >>> 1;\n vasc = new int[M][];\n pasc = new int[M][];\n vdesc = new int[M][];\n pdesc = new int[M][];\n maxs = new long[M];\n lens = new int[M];\n for (int i = 0; i < N; i++) {\n vasc[H + i] = new int[]{a[i]};\n pasc[H + i] = new int[]{0}; // first appeared\n vdesc[H + i] = new int[]{a[i]};\n pdesc[H + i] = new int[]{0}; // last appeared\n maxs[H + i] = a[i] * 2;\n lens[H + i] = 1;\n }\n for (int i = N; i < H; i++) {\n vasc[H + i] = new int[0];\n pasc[H + i] = new int[0];\n vdesc[H + i] = new int[0];\n pdesc[H + i] = new int[0];\n lens[H + i] = 0;\n }\n for (int i = H - 1; i >= 1; i--) {\n propagate(i);\n }\n }\n // v:desc\n // p:asc\n\n int[][] merge(int[] v1, int[] p1, int[] v2, int[] p2) {\n int[] rv = Arrays.copyOf(v2, v2.length + v1.length);\n int[] rp = Arrays.copyOf(p2, v2.length + v1.length);\n int p = v2.length;\n int last = p > 0 ? p2[p - 1] : -1;\n for (int i = 0; i < v1.length; i++) {\n if (p > 0 && rv[p - 1] <= v1[i]) {\n rp[p - 1] = p2[p - 1] + p1[i] + 1;\n } else if (p == 0 || rv[p - 1] > v1[i]) {\n rv[p] = v1[i];\n rp[p++] = last + p1[i] + 1;\n }\n }\n//\t\t\ttr(v1, p1, v2, p2, rv, rp);\n return new int[][]{\n Arrays.copyOf(rv, p),\n Arrays.copyOf(rp, p)\n };\n }\n\n private void tr(Object... o) {\n System.out.println(Arrays.deepToString(o));\n }\n\n private void propagate(int i) {\n int[][] res = merge(vasc[2 * i], pasc[2 * i], vasc[2 * i + 1], pasc[2 * i + 1]);\n vasc[i] = res[0];\n pasc[i] = res[1];\n\n res = merge(vdesc[2 * i + 1], pdesc[2 * i + 1], vdesc[2 * i], pdesc[2 * i]);\n vdesc[i] = res[0];\n pdesc[i] = res[1];\n\n lens[i] = lens[2 * i] + lens[2 * i + 1];\n maxs[i] = Math.max(maxs[2 * i], maxs[2 * i + 1]);\n\n {\n int[] L = vasc[2 * i], R = vdesc[2 * i + 1];\n int[] LP = pasc[2 * i], RP = pdesc[2 * i + 1];\n int k = 0;\n for (int j = 0; j < L.length; j++) {\n while (k < R.length && R[k] >= L[j]) {\n k++;\n }\n if (k == 0) continue;\n int right = RP[k - 1];\n int left = LP[j];\n long val = (long) (left + right + 3) * L[j];\n//\t\t\t\t\ttr(L, R, LP, RP, left, right, val);\n maxs[i] = Math.max(maxs[i], val);\n }\n }\n {\n int[] R = vasc[2 * i], L = vdesc[2 * i + 1];\n int[] RP = pasc[2 * i], LP = pdesc[2 * i + 1];\n int k = 0;\n for (int j = 0; j < L.length; j++) {\n while (k < R.length && R[k] >= L[j]) {\n k++;\n }\n if (k == 0) continue;\n int right = RP[k - 1];\n int left = LP[j];\n long val = (long) (left + right + 3) * L[j];\n maxs[i] = Math.max(maxs[i], val);\n }\n }\n }\n\n public static int[] rev(int[] a) {\n int[] b = new int[a.length];\n for (int i = 0; i < a.length; i++) b[a.length - 1 - i] = a[i];\n return b;\n }\n\n\n public void update(int pos, int v) {\n vasc[H + pos][0] = v;\n vdesc[H + pos][0] = v;\n maxs[H + pos] = vasc[H + pos][0] * 2;\n for (int i = H + pos >>> 1; i >= 1; i >>>= 1) {\n propagate(i);\n }\n }\n\n public long max(int l, int r) {\n gmax = Long.MIN_VALUE;\n max(l, r, 0, H, 1);\n return gmax;\n }\n\n long gmax;\n\n private int[][] max(int l, int r, int cl, int cr, int cur) {\n if (l <= cl && cr <= r) {\n gmax = Math.max(gmax, maxs[cur]);\n return new int[][]{vasc[cur], pasc[cur], vdesc[cur], pdesc[cur]};\n } else {\n int mid = cl + cr >>> 1;\n int[][] LX = null, RX = null;\n if (cl < r && l < mid) {\n LX = max(l, r, cl, mid, 2 * cur);\n }\n if (mid < r && l < cr) {\n RX = max(l, r, mid, cr, 2 * cur + 1);\n }\n\n if (LX == null) return RX;\n if (RX == null) return LX;\n\n int[][] ret = new int[4][];\n int[][] res = merge(LX[0], LX[1], RX[0], RX[1]);\n ret[0] = res[0];\n ret[1] = res[1];\n\n res = merge(RX[2], RX[3], LX[2], LX[3]);\n ret[2] = res[0];\n ret[3] = res[1];\n\n {\n int[] L = LX[0], R = RX[2];\n int[] LP = LX[1], RP = RX[3];\n int k = 0;\n for (int j = 0; j < L.length; j++) {\n while (k < R.length && R[k] >= L[j]) {\n k++;\n }\n if (k == 0) continue;\n int right = RP[k - 1];\n int left = LP[j];\n long val = (long) (left + right + 3) * L[j];\n//\t\t\t\t\t\ttr(L, R, LP, RP, left, right, L, val);\n gmax = Math.max(gmax, val);\n }\n }\n {\n int[] R = LX[0], L = RX[2];\n int[] RP = LX[1], LP = RX[3];\n int k = 0;\n for (int j = 0; j < L.length; j++) {\n while (k < R.length && R[k] >= L[j]) {\n k++;\n }\n if (k == 0) continue;\n int right = RP[k - 1];\n int left = LP[j];\n long val = (long) (left + right + 3) * L[j];\n gmax = Math.max(gmax, val);\n }\n }\n return ret;\n }\n }\n }\n\n\n private static int lcp(String s, String s1) {\n int m = 0;\n for (int i = 0; i < Math.min(s.length(), s1.length()); i++) {\n if (s.charAt(i) != s1.charAt(i)) break;\n m++;\n }\n return m;\n }\n\n private static void solveT() throws IOException {\n int t = sc.nextInt();\n while (t-- > 0) {\n solve();\n }\n }\n\n\n private static long gcd(long l, long l1) {\n if (l > l1) return gcd(l1, l);\n if (l == 0) return l1;\n return gcd(l1 % l, l);\n }\n\n private static long pow(long a, long b, long m) {\n if (b == 0) return 1;\n if (b == 1) return a;\n long pp = pow(a, b / 2, m);\n pp *= pp;\n pp %= m;\n return (pp * (b % 2 == 0 ? 1 : a)) % m;\n }\n\n\n static class MyScanner {\n BufferedReader br;\n StringTokenizer st;\n\n MyScanner(BufferedReader br) {\n this.br = br;\n }\n\n public MyScanner(InputStream in) {\n this(new BufferedReader(new InputStreamReader(in)));\n }\n\n void findToken() {\n while (st == null || !st.hasMoreTokens()) {\n try {\n st = new StringTokenizer(br.readLine());\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n }\n\n String next() {\n findToken();\n return st.nextToken();\n }\n\n Integer[] nab(int n) {\n Integer[] k = new Integer[n];\n for (int i = 0; i < n; i++) {\n k[i] = sc.fi();\n }\n return k;\n }\n\n int[] na(int n) {\n int[] k = new int[n];\n for (int i = 0; i < n; i++) {\n k[i] = sc.fi();\n }\n return k;\n }\n\n long[] nl(int n) {\n long[] k = new long[n];\n for (int i = 0; i < n; i++) {\n k[i] = sc.nextLong();\n }\n return k;\n }\n\n int nextInt() {\n return Integer.parseInt(next());\n }\n\n int fi() {\n String t = next();\n int cur = 0;\n boolean n = t.charAt(0) == '-';\n for (int a = n ? 1 : 0; a < t.length(); a++) {\n cur = cur * 10 + t.charAt(a) - '0';\n }\n return n ? -cur : cur;\n }\n\n long nextLong() {\n return Long.parseLong(next());\n }\n\n double nextDouble() {\n return Double.parseDouble(next());\n }\n }\n\n private static final class STree {\n private final boolean maxt;\n int rs;\n int[] val1;\n int[] from1;\n int[] to1;\n int[] metric;\n\n public STree(int c, boolean maxt) {\n rs = c;\n this.maxt = maxt;\n int size = Integer.highestOneBit(c);\n if (size != c) {\n size <<= 1;\n }\n int rs = size << 1;\n val1 = new int[rs];\n from1 = new int[rs];\n metric = new int[rs];\n to1 = new int[rs];\n\n Arrays.fill(from1, Integer.MAX_VALUE);\n if (!maxt)\n Arrays.fill(metric, Integer.MAX_VALUE);\n for (int r = rs - 1; r > 1; r--) {\n if (r >= size) {\n from1[r] = r - size;\n to1[r] = r - size;\n }\n from1[r / 2] = Math.min(from1[r / 2], from1[r]);\n to1[r / 2] = Math.max(to1[r / 2], to1[r]);\n }\n }\n\n public STree(int c) {\n this(c, true);\n }\n\n public int max(int from, int to) {\n return max(1, from, to);\n }\n\n private int max(int cur, int from, int to) {\n if (cur >= val1.length) return 0;\n if (from <= from1[cur] && to1[cur] <= to) {\n return metric[cur];\n }\n if (from1[cur] > to || from > to1[cur]) {\n return 0;\n }\n cur <<= 1;\n return Math.max(max(cur, from, to), max(cur + 1, from, to));\n }\n\n\n public void put(int x, int val) {\n x += val1.length >> 1;\n val1[x] = val;\n metric[x] = val;\n addToParent(x);\n }\n\n\n private void addToParent(int cur) {\n while (cur > 1) {\n cur >>= 1;\n if (maxt) {\n metric[cur] = Math.max(metric[cur << 1], metric[1 + (cur << 1)]);\n } else {\n metric[cur] = Math.min(metric[cur << 1], metric[1 + (cur << 1)]);\n }\n\n }\n }\n\n public long x(int i) {\n return val1[i + val1.length >> 1];\n }\n }\n}", "python": null }
Codeforces/888/D
# Almost Identity Permutations A permutation p of size n is an array such that every integer from 1 to n occurs exactly once in this array. Let's call a permutation an almost identity permutation iff there exist at least n - k indices i (1 ≤ i ≤ n) such that pi = i. Your task is to count the number of almost identity permutations for given numbers n and k. Input The first line contains two integers n and k (4 ≤ n ≤ 1000, 1 ≤ k ≤ 4). Output Print the number of almost identity permutations for given n and k. Examples Input 4 1 Output 1 Input 4 2 Output 7 Input 5 3 Output 31 Input 5 4 Output 76
[ { "input": { "stdin": "4 2\n" }, "output": { "stdout": "7\n" } }, { "input": { "stdin": "4 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5 4\n" }, "output": { "stdout": "76\n" } }, { "input": { "stdin": "5 3\n" }, "output": { "stdout": "31\n" } }, { "input": { "stdin": "1000 2\n" }, "output": { "stdout": "499501\n" } }, { "input": { "stdin": "400 4\n" }, "output": { "stdout": "9477912501\n" } }, { "input": { "stdin": "200 3\n" }, "output": { "stdout": "2646701\n" } }, { "input": { "stdin": "400 3\n" }, "output": { "stdout": "21253401\n" } }, { "input": { "stdin": "800 3\n" }, "output": { "stdout": "170346801\n" } }, { "input": { "stdin": "200 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "600 3\n" }, "output": { "stdout": "71820101\n" } }, { "input": { "stdin": "200 2\n" }, "output": { "stdout": "19901\n" } }, { "input": { "stdin": "400 2\n" }, "output": { "stdout": "79801\n" } }, { "input": { "stdin": "800 4\n" }, "output": { "stdout": "152620985001\n" } }, { "input": { "stdin": "1000 4\n" }, "output": { "stdout": "373086956251\n" } }, { "input": { "stdin": "1000 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1000 3\n" }, "output": { "stdout": "332833501\n" } }, { "input": { "stdin": "200 4\n" }, "output": { "stdout": "584811251\n" } }, { "input": { "stdin": "400 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "600 2\n" }, "output": { "stdout": "179701\n" } }, { "input": { "stdin": "800 2\n" }, "output": { "stdout": "319601\n" } }, { "input": { "stdin": "600 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "600 4\n" }, "output": { "stdout": "48187303751\n" } }, { "input": { "stdin": "4 4\n" }, "output": { "stdout": "24\n" } }, { "input": { "stdin": "800 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "67 3\n" }, "output": { "stdout": "98022\n" } }, { "input": { "stdin": "114 2\n" }, "output": { "stdout": "6442\n" } }, { "input": { "stdin": "31 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "799 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "8 4\n" }, "output": { "stdout": "771\n" } }, { "input": { "stdin": "67 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "65 3\n" }, "output": { "stdout": "89441\n" } }, { "input": { "stdin": "144 2\n" }, "output": { "stdout": "10297\n" } }, { "input": { "stdin": "518 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "593 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "9 2\n" }, "output": { "stdout": "37\n" } }, { "input": { "stdin": "112 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "29 4\n" }, "output": { "stdout": "221474\n" } }, { "input": { "stdin": "10 3\n" }, "output": { "stdout": "286\n" } }, { "input": { "stdin": "130 3\n" }, "output": { "stdout": "723906\n" } }, { "input": { "stdin": "155 3\n" }, "output": { "stdout": "1229306\n" } }, { "input": { "stdin": "124 2\n" }, "output": { "stdout": "7627\n" } }, { "input": { "stdin": "447 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "93 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "438 4\n" }, "output": { "stdout": "13641186611\n" } }, { "input": { "stdin": "359 4\n" }, "output": { "stdout": "6140652639\n" } }, { "input": { "stdin": "59 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "70 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "939 3\n" }, "output": { "stdout": "275537970\n" } }, { "input": { "stdin": "523 1\n" }, "output": { "stdout": "1\n" } } ]
{ "tags": [ "combinatorics", "dp", "math" ], "title": "Almost Identity Permutations" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nconst long long N = 1e3 + 5;\nlong long C[N][5], dif_fact[5];\nvoid calc() {\n for (long long i = 0; i < N; i++) {\n for (long long j = 0; j <= min(i, 4LL); j++) {\n if (j == 0 || j == i) {\n C[i][j] = 1;\n } else {\n C[i][j] = C[i - 1][j - 1] + C[i - 1][j];\n }\n }\n }\n dif_fact[1] = 0;\n dif_fact[2] = 1;\n dif_fact[3] = 2;\n dif_fact[4] = 9;\n}\nsigned main() {\n ios_base ::sync_with_stdio(0);\n cin.tie(0);\n cout.tie(0);\n ;\n calc();\n long long n, k;\n cin >> n >> k;\n long long ans = 1;\n for (long long i = 2; i <= k; i++) {\n long long curr = C[n][i] * dif_fact[i];\n ans += curr;\n }\n cout << ans;\n}\n", "java": "import java.io.*;\nimport java.util.*;\nimport java.math.*;\nimport java.lang.*;\n\n\npublic class Main implements Runnable {\n static class InputReader {\n private InputStream stream;\n private byte[] buf = new byte[1024];\n private int curChar;\n private int numChars;\n private SpaceCharFilter filter;\n private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n\n public InputReader(InputStream stream) {\n this.stream = stream;\n }\n\n public int read() {\n if (numChars==-1)\n throw new InputMismatchException();\n\n if (curChar >= numChars) {\n curChar = 0;\n try {\n numChars = stream.read(buf);\n }\n catch (IOException e) {\n throw new InputMismatchException();\n }\n\n if(numChars <= 0)\n return -1;\n }\n return buf[curChar++];\n }\n\n public String nextLine() {\n String str = \"\";\n try {\n str = br.readLine();\n }\n catch (IOException e) {\n e.printStackTrace();\n }\n return str;\n }\n public int nextInt() {\n int c = read();\n\n while(isSpaceChar(c))\n c = read();\n\n int sgn = 1;\n\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n\n int res = 0;\n do {\n if(c<'0'||c>'9')\n throw new InputMismatchException();\n res *= 10;\n res += c - '0';\n c = read();\n }\n while (!isSpaceChar(c));\n\n return res * sgn;\n }\n\n public long nextLong() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n long res = 0;\n\n do {\n if (c < '0' || c > '9')\n throw new InputMismatchException();\n res *= 10;\n res += c - '0';\n c = read();\n }\n while (!isSpaceChar(c));\n return res * sgn;\n }\n\n public double nextDouble() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n int sgn = 1;\n if (c == '-') {\n sgn = -1;\n c = read();\n }\n double res = 0;\n while (!isSpaceChar(c) && c != '.') {\n if (c == 'e' || c == 'E')\n return res * Math.pow(10, nextInt());\n if (c < '0' || c > '9')\n throw new InputMismatchException();\n res *= 10;\n res += c - '0';\n c = read();\n }\n if (c == '.') {\n c = read();\n double m = 1;\n while (!isSpaceChar(c)) {\n if (c == 'e' || c == 'E')\n return res * Math.pow(10, nextInt());\n if (c < '0' || c > '9')\n throw new InputMismatchException();\n m /= 10;\n res += (c - '0') * m;\n c = read();\n }\n }\n return res * sgn;\n }\n\n public String readString() {\n int c = read();\n while (isSpaceChar(c))\n c = read();\n StringBuilder res = new StringBuilder();\n do {\n res.appendCodePoint(c);\n c = read();\n }\n while (!isSpaceChar(c));\n\n return res.toString();\n }\n\n public boolean isSpaceChar(int c) {\n if (filter != null)\n return filter.isSpaceChar(c);\n return c == ' ' || c == '\\n' || c == '\\r' || c == '\\t' || c == -1;\n }\n\n public String next() {\n return readString();\n }\n\n public interface SpaceCharFilter {\n public boolean isSpaceChar(int ch);\n }\n }\n public static void main(String args[]) throws Exception {\n new Thread(null, new Main(),\"Main\",1<<26).start();\n }\n\n static long gcd(long a,long b){ if(b==0)return a;return gcd(b,a%b); }\n static long modPow(long a,long p,long m){ if(a==1)return 1;long ans=1;while (p>0){ if(p%2==1)ans=(ans*a)%m;a=(a*a)%m;p>>=1; }return ans; }\n static long modInv(long a,long m){return modPow(a,m-2,m);}\n\n\n\n\n public void run() {\n InputReader sc = new InputReader(System.in);\n PrintWriter out = new PrintWriter(System.out);\n\n int n=sc.nextInt();\n int k=sc.nextInt();\n long ans=0;\n if(k>=1){\n ans+=1;\n }\n if(k>=2){\n ans+=1L*n*(n-1)/2;\n }\n if(k>=3){\n ans+=(1L*n*(n-1)*(n-2)/6)*(2);\n }\n // out.println(ans);\n if(k>=4){\n ans+=(1L*n*(n-1)*(n-2)*(n-3)/24)*(9);\n }\n out.println(ans);\n\n out.close();\n }\n\n}", "python": "from sys import stdin,stdout\nimport math\nnmbr = lambda: int(input())\nlst = lambda:list(map(int,input().split()))\ndef ncr(n,r):\n lim=min(r,n-r)\n num,den=n,1\n nn=dd=1\n for i in range(lim):\n nn*=num\n dd*=den\n num-=1\n den+=1\n return nn//dd\nfor _ in range(1):#nmbr():\n n,k=lst()\n dp=[0]*(1+n)\n dp[1]=0\n dp[2]=1\n for i in range(3,n+1):\n dp[i]=(i-1)*(dp[i-1]+dp[i-2])\n sm=p=0\n while p<=k:\n sm+=ncr(n,p)*dp[p]\n p+=1\n print(sm+1)" }
Codeforces/911/B
# Two Cakes It's New Year's Eve soon, so Ivan decided it's high time he started setting the table. Ivan has bought two cakes and cut them into pieces: the first cake has been cut into a pieces, and the second one — into b pieces. Ivan knows that there will be n people at the celebration (including himself), so Ivan has set n plates for the cakes. Now he is thinking about how to distribute the cakes between the plates. Ivan wants to do it in such a way that all following conditions are met: 1. Each piece of each cake is put on some plate; 2. Each plate contains at least one piece of cake; 3. No plate contains pieces of both cakes. To make his guests happy, Ivan wants to distribute the cakes in such a way that the minimum number of pieces on the plate is maximized. Formally, Ivan wants to know the maximum possible number x such that he can distribute the cakes according to the aforementioned conditions, and each plate will contain at least x pieces of cake. Help Ivan to calculate this number x! Input The first line contains three integers n, a and b (1 ≤ a, b ≤ 100, 2 ≤ n ≤ a + b) — the number of plates, the number of pieces of the first cake, and the number of pieces of the second cake, respectively. Output Print the maximum possible number x such that Ivan can distribute the cake in such a way that each plate will contain at least x pieces of cake. Examples Input 5 2 3 Output 1 Input 4 7 10 Output 3 Note In the first example there is only one way to distribute cakes to plates, all of them will have 1 cake on it. In the second example you can have two plates with 3 and 4 pieces of the first cake and two plates both with 5 pieces of the second cake. Minimal number of pieces is 3.
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"stdin": "3 3 1\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "2 1 2\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "100 90 20\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "14 7 7\n" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "4 8 11\n" }, "output": { "stdout": "4\n" } }, { "input": { "stdin": "30 7 91\n" }, "output": { "stdout": "3\n" } } ]
{ "tags": [ "binary search", "brute force", "implementation" ], "title": "Two Cakes" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\ninline void boost() {\n ios_base::sync_with_stdio();\n cin.tie(0);\n cout.tie(0);\n}\nconst long long maxn = 1e5 + 123;\nconst long long inf = 1e9 + 123;\nconst long long mod = 1e9 + 7;\nconst double pi = acos(-1);\nint main() {\n boost();\n int n, a, b;\n cin >> n >> a >> b;\n int ans = 0;\n for (int i = 1; i < n; i++) {\n int cntr = a / i, cntr1 = b, cntr2 = n - i;\n ans = max(ans, min(cntr, cntr1 / cntr2));\n }\n cout << ans;\n exit(0);\n}\n", "java": "_=readline().split(' ').map(Number)\nn=_[0],a=_[1],b=_[2]\nx=-1\nfor (var i=1;i<n;++i) {\n var ai=Math.trunc(a/i),\n bi=Math.trunc(b/(n-i))\n if (ai && bi) {\n var y=Math.min(ai, bi)\n x=Math.max(x,y)\n }\n}\nprint(x)\n", "python": "def bs(a,b,c,d):\n return b//d+c//d>=a\na,b,c=map(int,input().split())\nlo=2;hi=min(b,c);ans=1\nwhile (lo<=hi):\n mid = lo + (hi-lo)//2\n if bs(a,b,c,mid):\n ans=mid\n lo=mid+1\n else:hi=mid-1\nprint(ans)" }
Codeforces/932/G
# Palindrome Partition Given a string s, find the number of ways to split s to substrings such that if there are k substrings (p1, p2, p3, ..., pk) in partition, then pi = pk - i + 1 for all i (1 ≤ i ≤ k) and k is even. Since the number of ways can be large, print it modulo 109 + 7. Input The only line of input contains a string s (2 ≤ |s| ≤ 106) of even length consisting of lowercase Latin letters. Output Print one integer, the number of ways of partitioning the string modulo 109 + 7. Examples Input abcdcdab Output 1 Input abbababababbab Output 3 Note In the first case, the only way to partition the string is ab|cd|cd|ab. In the second case, the string can be partitioned as ab|b|ab|ab|ab|ab|b|ab or ab|b|abab|abab|b|ab or abbab|ab|ab|abbab.
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"stdout": "0\n" } }, { "input": { "stdin": "aacdcdab\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "babcab\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "ccbcaa\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "dcba\n" }, "output": { "stdout": "0\n" } }, { "input": { "stdin": "bacbccacaabbcbbbbaccbbbbacacacbbacaabccbaababccacacabbbbccbbbbbcbaaacaccbcab\n" }, "output": { "stdout": "0\n" } } ]
{ "tags": [ "dp", "string suffix structures", "strings" ], "title": "Palindrome Partition" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\ninline int read() {\n char ch = getchar();\n int w = 1, c = 0;\n for (; !isdigit(ch); ch = getchar())\n if (ch == '-') w = -1;\n for (; isdigit(ch); ch = getchar()) c = (c << 1) + (c << 3) + (ch ^ 48);\n return w * c;\n}\nconst int M = 1e6 + 10, mod = 1e9 + 7;\nchar s[M], hry[M];\nint n, fa[M], len[M], tot, lst, del[M], slink[M], t[M][26];\nvoid init() {\n fa[1] = fa[0] = 1;\n len[1] = -1;\n tot = 1;\n lst = 1;\n}\nint gt(int x, int id) {\n for (; hry[id] ^ hry[id - len[x] - 1]; x = fa[x])\n ;\n return x;\n}\nvoid extend(int id) {\n int p = gt(lst, id), o = hry[id] - 'a';\n if (!t[p][o]) {\n int np = ++tot;\n fa[np] = t[gt(fa[p], id)][o];\n t[p][o] = np;\n len[np] = len[p] + 2;\n del[np] = len[np] - len[fa[np]];\n if (del[np] != del[fa[np]])\n slink[np] = fa[np];\n else\n slink[np] = slink[fa[np]];\n }\n lst = t[p][o];\n}\nlong long ans[M], f[M];\nint main() {\n scanf(\"%s\", s + 1);\n n = strlen(s + 1);\n if (n & 1) {\n cout << 0 << \"\\n\";\n return 0;\n }\n int o = 0;\n for (int i = (1); i <= (n / 2); ++i) {\n hry[++o] = s[i];\n hry[++o] = s[n - i + 1];\n }\n init();\n ans[0] = 1;\n for (int i = (1); i <= (n); ++i) {\n extend(i);\n for (int x = lst; x; x = slink[x]) {\n f[x] = ans[i - len[slink[x]] - del[x]];\n if (del[x] == del[fa[x]]) f[x] = (f[x] + f[fa[x]]) % mod;\n if (i % 2 == 0) ans[i] = (ans[i] + f[x]) % mod;\n }\n }\n cout << ans[n] << \"\\n\";\n return 0;\n}\n", "java": "import java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.util.Arrays;\nimport java.util.StringTokenizer;\n\npublic class PalindromePartition {\n\n\tstatic int N;\n\tstatic char c[];\n\tstatic long dpS[];\n\tstatic long res[];\n\tstatic long mod = 1_000_000_007;\n\tpublic static void main(String[] args) {\n\t\tFS in = new FS();\n\t\tchar s[] = in.next().toCharArray();\n\t\tN = s.length;\n\t\tc = new char[N];\n\t\tint idd = 0;\n\t\tfor(int i = 0; i < N/2; i++) {\n\t\t\tc[idd] = s[i];\n\t\t\tidd += 2;\n\t\t}\n\t\tidd = 1;\n\t\tfor(int i = N-1; i >= N/2; i--) {\n\t\t\tc[idd] = s[i];\n\t\t\tidd += 2;\n\t\t}\n\n\t\tres = new long[N+1];\n\t\tdpS = new long[N+2];\n\t\tEertree et = new Eertree(N);\n\t\tArrays.fill(dpS, -1);\n\t\tres[0] = 1;\n\t\tfor(int i = 1; i <= N; i++) {\n\t\t\tet.addLetter(c[i-1]);\n\t\t\t//get res[i]\n\t\t\tfor(int j = et.last; et.len[j] > 0; j = et.slink[j]) {\n\t\t\t\tdpS[j] = res[i-(et.len[et.slink[j]] + et.diff[j])];\n\t\t\t\tif(et.diff[j] == et.diff[et.link[j]]) {\n\t\t\t\t\tdpS[j] += dpS[et.link[j]];\n\t\t\t\t\tif(dpS[j] >= mod) dpS[j] -= mod;\n\t\t\t\t}\n\t\t\t\tif((i&1) == 0) {\n\t\t\t\t\tres[i] += dpS[j];\n\t\t\t\t\tif(res[i] >= mod) res[i] -= mod;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tSystem.out.println(res[N]);\n\t}\n\n\tstatic class Eertree {\n\t\tint[] s, len, link, slink, diff;\n\t\tint[][] to;\n\t\tint sz, last, n;\n\t\tpublic Eertree(int nn) {\n\t\t\ts = new int[nn+2];\n\t\t\tlen = new int[nn+2];\n\t\t\tlink = new int[nn+2];\n\t\t\tto = new int[26][nn+2];\n\t\t\tslink = new int[nn+2];\n\t\t\tdiff = new int[nn+2];\n\t\t\ts[n++] = -1;\n\t\t\tlink[0] = 1;\n\t\t\tlen[1] = -1;\n\t\t\tsz = 2;\n\t\t}\n\t\tint getLink(int v) {\n\t\t\twhile(s[n-len[v]-2] != s[n-1]) v = link[v];\n\t\t\treturn v;\n\t\t}\n\t\tvoid addLetter(char ch) {\n\t\t\tint c = ch-'a';\n\t\t\ts[n++] = c;\n\t\t\tlast = getLink(last);\n\t\t\tif(to[c][last] == 0) {\n\t\t\t\tlen[sz] = len[last]+2;\n\t\t\t\tlink[sz] = to[c][getLink(link[last])];\n\t\t\t\tdiff[sz] = len[sz]-len[link[sz]];\n\t\t\t\tif(diff[sz] == diff[link[sz]]) slink[sz] = slink[link[sz]];\n\t\t\t\telse slink[sz] = link[sz];\n\t\t\t\tto[c][last] = sz++;\n\t\t\t}\n\t\t\tlast = to[c][last];\n\t\t}\n\t}\n\t\n\tstatic class FS{\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\t\tpublic FS() { br = new BufferedReader(new InputStreamReader(System.in));}\n\t\tpublic String next() {\n\t\t\twhile(st == null || !st.hasMoreElements()) {\n\t\t\t\ttry { st = new StringTokenizer(br.readLine());}\n\t\t\t\tcatch(Exception e) { throw null;}\n\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\t}\n}\n", "python": null }
Codeforces/95/B
# Lucky Numbers Petya loves lucky numbers. Everybody knows that positive integers are lucky if their decimal representation doesn't contain digits other than 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Lucky number is super lucky if it's decimal representation contains equal amount of digits 4 and 7. For example, numbers 47, 7744, 474477 are super lucky and 4, 744, 467 are not. One day Petya came across a positive integer n. Help him to find the least super lucky number which is not less than n. Input The only line contains a positive integer n (1 ≤ n ≤ 10100000). This number doesn't have leading zeroes. Output Output the least super lucky number that is more than or equal to n. Examples Input 4500 Output 4747 Input 47 Output 47
[ { "input": { "stdin": "47\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "4500\n" }, "output": { "stdout": "4747\n" } }, { "input": { "stdin": "73\n" }, "output": { "stdout": "74\n" } }, { "input": { "stdin": "444000000\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "447777\n" }, "output": { "stdout": "474477\n" } }, { "input": { "stdin": "3696\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "12\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "100\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "1024\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "123\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "74777443\n" }, "output": { "stdout": "74777444\n" } }, { "input": { "stdin": "1007\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "4\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "7748\n" }, "output": { "stdout": "444777\n" } }, { "input": { "stdin": "474\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "74710000\n" }, "output": { "stdout": "74744477\n" } }, { "input": { "stdin": "19\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "70070077\n" }, "output": { "stdout": "74444777\n" } }, { "input": { "stdin": "888999577\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "2145226\n" }, "output": { "stdout": "44447777\n" } }, { "input": { "stdin": "7474747\n" }, "output": { "stdout": "44447777\n" } }, { "input": { "stdin": "10\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "47474774\n" }, "output": { "stdout": "47474774\n" } }, { "input": { "stdin": "74700\n" }, "output": { "stdout": "444777\n" } }, { "input": { "stdin": "1\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "555\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "5556585\n" }, "output": { "stdout": "44447777\n" } }, { "input": { "stdin": "4700007\n" }, "output": { "stdout": "44447777\n" } }, { "input": { "stdin": "147474747\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "999999999\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "467549754\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "4777\n" }, "output": { "stdout": "7447\n" } }, { "input": { "stdin": "50\n" }, "output": { "stdout": "74\n" } }, { "input": { "stdin": "491020945\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "9\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "99999999\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "777777\n" }, "output": { "stdout": "44447777\n" } }, { "input": { "stdin": "7\n" }, "output": { "stdout": "47\n" } }, { "input": { "stdin": "85469\n" }, "output": { "stdout": "444777\n" } }, { "input": { "stdin": "7474\n" }, "output": { "stdout": "7474\n" } }, { "input": { "stdin": "444444444\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "1000000000\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "70\n" }, "output": { "stdout": "74\n" } }, { "input": { "stdin": "47474749\n" }, "output": { "stdout": "47474774\n" } }, { "input": { "stdin": "99\n" }, "output": { "stdout": "4477\n" } }, { "input": { "stdin": "100000\n" }, "output": { "stdout": "444777\n" } }, { "input": { "stdin": "4587\n" }, "output": { "stdout": "4747\n" } }, { "input": { "stdin": "7773\n" }, "output": { "stdout": "444777\n" } }, { "input": { "stdin": "77777777\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "87584777\n" }, "output": { "stdout": "4444477777\n" } }, { "input": { "stdin": "74477744\n" }, "output": { "stdout": "74477744\n" } }, { "input": { "stdin": "49102094540227023300\n" }, "output": { "stdout": "74444444444777777777\n" } }, { "input": { "stdin": "4610011341130234325130111223432762111322200032405402224411031600004377332320125004161111207316702630337013246237324411010232123224431343463152610127222227432331505230001434422203415026064601462701340036346273331432110074431135223142761441433403414301432300263254301342131314327333745711213130421310313153504022700431534463141461236322033420140324202221402036761452134031253152442133141307046425107520\n" }, "output": { "stdout": "4744444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777\n" } }, { "input": { "stdin": "7004223124942730640235383244438257614581534320356060987241659784249551110165034719443327659510644224\n" }, "output": { "stdout": "7444444444444444444444444444444444444444444444444447777777777777777777777777777777777777777777777777\n" } }, { "input": { "stdin": "61136338618684683458627308377793588546921041456473994251912971721612136383004772112243903436104509483190819343988300672009142812305068378720235800534191119843225949741796417107434937387267716981006150\n" }, "output": { "stdout": "74444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777\n" } }, { "input": { "stdin": "474777447477447774447777477444444747747747447474\n" }, "output": { "stdout": "474777447477447774447777477444444747747747447474\n" } }, { "input": { "stdin": "241925018843248944336317949908388280315030601139576419352009710\n" }, "output": { "stdout": "4444444444444444444444444444444477777777777777777777777777777777\n" } }, { "input": { "stdin": "221020945402270233\n" }, "output": { "stdout": "444444444777777777" } }, { "input": { "stdin": "35881905331681060827588553219538774024143083787975\n" }, "output": { "stdout": "44444444444444444444444447777777777777777777777777\n" } }, { "input": { "stdin": "795193728547733389463100378996233822835539327235483308682350676991954960294227364128385843182064933115\n" }, "output": { "stdout": "44444444444444444444444444444444444444444444444444447777777777777777777777777777777777777777777777777777\n" } }, { "input": { "stdin": "4747474749\n" }, "output": { "stdout": "4747474774" } }, { "input": { "stdin": "48\n" }, "output": { "stdout": "74" } }, { "input": { "stdin": "47447774444477747744744477747744477774777774747474477744474447744447747777744777444474777477447777747477474774477444777777744774777474477744444474744777774744447747477747474447444444447444774744777447\n" }, "output": { "stdout": "47447774444477747744744477747744477774777774747474477744474447744447747777744777444474777477447777747477474774477444777777744774777474477744444474744777774744447747477747474447444444447444774747444444\n" } }, { "input": { "stdin": "4747474774\n" }, "output": { "stdout": "4747474774" } }, { "input": { "stdin": "300315701225398103949172355218103087569515283105400017868730132769291700939035921405014640214190659140126383204458315111136164707153628616177467538307534664174018683245377348638677858006052356516328838399769950207054982712314494543889750490268253870160095357456864075250350735474301206523459172092665900965024129501630212966373988276932458849720393142004789869863743947961634907491797090041095838600303393556660079821519800685499052949978754418782241756597476926001413610822\n" }, "output": { "stdout": "444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777\n" } }, { "input": { "stdin": "5594108733309806863211189515406929423407691887690557101598403485\n" }, "output": { "stdout": "7444444444444444444444444444444447777777777777777777777777777777\n" } } ]
{ "tags": [ "dp", "greedy" ], "title": "Lucky Numbers" }
{ "cpp": "#include <bits/stdc++.h>\nusing namespace std;\nchar s[100005];\nint n;\nint main() {\n while (~scanf(\"%s\", s)) {\n n = strlen(s);\n if (n & 1) {\n n = (n + 1) / 2;\n for (int i = 0; i < n; i++) putchar('4');\n for (int i = 0; i < n; i++) putchar('7');\n puts(\"\");\n continue;\n }\n int c4 = 0, c7 = 0, big = 0, can = 1;\n for (int i = 0; i < n; i++) {\n if (big) {\n while (i < n) {\n c4++;\n s[i] = '4';\n i++;\n }\n break;\n }\n if (s[i] < '4') {\n s[i] = '4';\n c4++;\n big = 1;\n } else if (s[i] == '4')\n c4++;\n else if (s[i] < '7') {\n s[i] = '7';\n c7++;\n big = 1;\n } else if (s[i] == '7')\n c7++;\n else if (s[i] > '7') {\n if (c7 == i) {\n can = 0;\n break;\n }\n int j = i - 1;\n while (s[j] == '7') {\n c7--;\n j--;\n }\n s[j] = '7';\n c4--;\n c7++;\n j++;\n big = 1;\n while (j < n) {\n c4++;\n s[j] = '4';\n j++;\n }\n break;\n }\n }\n if (!can || c4 == 0) {\n n = (n + 2) / 2;\n for (int i = 0; i < n; i++) putchar('4');\n for (int i = 0; i < n; i++) putchar('7');\n puts(\"\");\n continue;\n }\n if (c7 > c4) {\n c7++;\n c4--;\n int j = n - 1;\n for (; j >= 0; j--) {\n if (c7 == c4) break;\n if (s[j] == '7') {\n c7--;\n c4++;\n s[j] = '4';\n }\n s[j] = '4';\n }\n if (j < 0)\n can = 0;\n else {\n while (j >= 0 && s[j] == '7') --j;\n if (j < 0)\n can = 0;\n else {\n s[j] = '7';\n sort(s + j + 1, s + n);\n }\n }\n }\n if (!can) {\n n = (n + 2) / 2;\n for (int i = 0; i < n; i++) putchar('4');\n for (int i = 0; i < n; i++) putchar('7');\n puts(\"\");\n continue;\n }\n int dt = (c4 - c7) / 2;\n for (int i = n - 1; i >= 0; i--) {\n if (dt == 0) break;\n if (s[i] == '4') {\n s[i] = '7';\n dt--;\n }\n }\n puts(s);\n }\n}\n", "java": "import java.io.*;\nimport java.util.*;\npublic class LuckyNumber\n{\n static long n;\n static long ans;\n public static void main(String args[])\n {\n Scanner in= new Scanner(System.in);\n n = in.nextLong();\n ans = -1;\n dfs(0,0,0);\n System.out.println(ans);\n }\n private static void dfs(long cur,int c4,int c7)\n {\n if(cur>=n*1000)\n\t{\n return;\n }\n if(c4 == c7&&cur>=n)\n {if(ans<0)\n\t {\n ans = cur;\n }\n else\n {\n ans = Math.min(ans,cur);\n }}\n dfs(cur*10+4,c4+1,c7);\n dfs(cur*10+7,c4,c7+1);\n } \n} ", "python": "z=[]\nfor i in range(1,11):\n for j in range(1<<i):\n s=bin(j)\n s=s[2:]\n if s.count(\"1\")==s.count(\"0\"):z+=[int(s.replace(\"1\",\"4\").replace(\"0\",\"7\"))]+[int(s.replace(\"1\",\"7\").replace(\"0\",\"4\"))]\nz.sort()\na=int(input())\nfor i in z:\n if a<=i:print(i);break\n" }
Codeforces/986/F
# Oppa Funcan Style Remastered Surely you have seen insane videos by South Korean rapper PSY, such as "Gangnam Style", "Gentleman" and "Daddy". You might also hear that PSY has been recording video "Oppa Funcan Style" two years ago (unfortunately we couldn't find it on the internet). We will remind you what this hit looked like (you can find original description [here](http://acm.timus.ru/problem.aspx?space=1&num=2107&locale=en)): On the ground there are n platforms, which are numbered with integers from 1 to n, on i-th platform there is a dancer with number i. Further, every second all the dancers standing on the platform with number i jump to the platform with the number f(i). The moving rule f is selected in advance and is not changed throughout the clip. The duration of the clip was k seconds and the rule f was chosen in such a way that after k seconds all dancers were in their initial positions (i.e. the i-th dancer stood on the platform with the number i). That allowed to loop the clip and collect even more likes. PSY knows that enhanced versions of old artworks become more and more popular every day. So he decided to release a remastered-version of his video. In his case "enhanced version" means even more insanity, so the number of platforms can be up to 10^{18}! But the video director said that if some dancer stays on the same platform all the time, then the viewer will get bored and will turn off the video immediately. Therefore, for all x from 1 to n f(x) ≠ x must hold. Big part of classic video's success was in that looping, so in the remastered version all dancers should return to their initial positions in the end of the clip as well. PSY hasn't decided on the exact number of platforms and video duration yet, so he asks you to check if there is a good rule f for different options. Input In the first line of input there is one integer t (1 ≤ t ≤ 10^{4}) — the number of options for n and k to check. In the next t lines the options are given: each option is described with two integers n and k (1 ≤ n ≤ 10^{18}, 1 ≤ k ≤ 10^{15}) — the number of dancers and the duration in seconds. It is guaranteed that the number of different values of k in one test is not greater than 50. Output Print t lines. If the i-th option of the video is feasible, print "YES" (without quotes) in i-th line, otherwise print "NO" (without quotes). Example Input 3 7 7 3 8 5 6 Output YES NO YES
[ { "input": { "stdin": "3\n7 7\n3 8\n5 6\n" }, "output": { "stdout": "YES\nNO\nYES\n" } }, { "input": { "stdin": "4\n1 1\n2 1\n1000000000 1\n1000000000000000000 1\n" }, "output": { "stdout": "NO\nNO\nNO\nNO\n" } }, { "input": { "stdin": "3\n7 3\n3 6\n5 10\n" }, "output": { "stdout": "NO\nYES\nYES\n" } }, { "input": { "stdin": "3\n7 3\n3 6\n5 11\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n7 3\n3 6\n7 6\n" }, "output": { "stdout": "NO\nYES\nYES\n" } }, { "input": { "stdin": "3\n7 3\n3 8\n5 2\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "3\n7 3\n3 6\n5 6\n" }, "output": { "stdout": "NO\nYES\nYES\n" } }, { "input": { "stdin": "3\n14 3\n3 6\n1 11\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n12 5\n3 15\n5 1\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "4\n1 1\n2 1\n1000000000 1\n1001000000000000000 1\n" }, "output": { "stdout": "NO\nNO\nNO\nNO\n" } }, { "input": { "stdin": "3\n7 3\n3 6\n1 11\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n12 5\n1 8\n8 2\n" }, "output": { "stdout": "NO\nNO\nYES\n" } }, { "input": { "stdin": "3\n7 5\n3 13\n5 2\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "3\n12 5\n1 8\n5 2\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "3\n12 5\n3 8\n5 2\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "3\n7 3\n4 6\n1 11\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n7 3\n3 8\n5 10\n" }, "output": { "stdout": "NO\nNO\nYES\n" } }, { "input": { "stdin": "3\n7 2\n3 6\n5 11\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n7 5\n3 8\n5 2\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "4\n1 2\n2 1\n1000000000 2\n1000000000000000000 1\n" }, "output": { "stdout": "NO\nNO\nYES\nNO\n" } }, { "input": { "stdin": "3\n12 5\n3 15\n5 2\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n7 1\n3 8\n5 2\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "3\n22 5\n3 15\n5 2\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n7 2\n3 8\n5 2\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "3\n12 7\n3 15\n5 2\n" }, "output": { "stdout": "NO\nYES\nNO\n" } }, { "input": { "stdin": "3\n14 3\n3 11\n1 11\n" }, "output": { "stdout": "NO\nNO\nNO\n" } }, { "input": { "stdin": "3\n7 3\n3 8\n5 6\n" }, "output": { "stdout": "NO\nNO\nYES\n" } }, { "input": { "stdin": "4\n1 1\n2 1\n1000000000 2\n1000000000000000000 1\n" }, "output": { "stdout": "NO\nNO\nYES\nNO\n" } }, { "input": { "stdin": "4\n1 1\n2 1\n0000000000 2\n1000000000000000000 1\n" }, "output": { "stdout": "NO\nNO\nYES\nNO\n" } } ]
{ "tags": [ "graphs", "math", "number theory", "shortest paths" ], "title": "Oppa Funcan Style Remastered" }
{ "cpp": "#include <bits/stdc++.h>\nusing std ::pair;\nusing std ::priority_queue;\nusing std ::sort;\ntemplate <typename T>\nT max(T x, T y) {\n return (x > y) ? x : y;\n}\ntemplate <typename T>\nT min(T x, T y) {\n return (x < y) ? x : y;\n}\ntemplate <typename T>\nbool chkmax(T &x, T y) {\n return (x >= y) ? 0 : (x = y, 1);\n}\ntemplate <typename T>\nbool chkmin(T &x, T y) {\n return (x <= y) ? 0 : (x = y, 1);\n}\ntemplate <typename T>\nT read(T &in) {\n in = 0;\n char ch;\n T f = 1;\n while (!isdigit(ch = getchar()))\n if (ch == '-') f = -1;\n while (isdigit(ch)) in = in * 10 + ch - '0', ch = getchar();\n return in *= f;\n}\nstatic const int MAX1 = 10000 + 11;\nstatic const int MAX2 = 32000000 + 11;\nstatic const int MAX3 = 100000 + 11;\nstruct data {\n long long n, k;\n int i;\n};\nbool operator<(data a, data b) { return a.k < b.k; }\nint T;\ndata q[MAX1];\nbool out[MAX1];\nbool vis[MAX2];\nint prime[1973816];\nvoid Init(int n = 32000000) {\n for (int i = (2), ir = (n); i <= (ir); ++i) {\n if (!vis[i]) prime[++prime[0]] = i;\n for (int j = (1), jr = (prime[0]); j <= (jr); ++j) {\n if (i * prime[j] > n) break;\n vis[i * prime[j]] = 1;\n if (i % prime[j] == 0) break;\n }\n }\n}\nlong long Exgcd(long long a, long long b, long long &x, long long &y) {\n if (b == 0) return x = 1, y = 0, a;\n long long g = Exgcd(b, a % b, x, y), tx = x;\n x = y, y = tx - a / b * y;\n return g;\n}\nvoid work(long long k, int &id) {\n static long long p[60];\n int cnt = 0;\n long long temp_k = k;\n for (int *i = prime + 1; 1ll * *i * *i <= k; ++i)\n if (k % *i == 0) {\n while (k % *i == 0) k /= *i;\n p[++cnt] = *i;\n }\n if (k != 1) p[++cnt] = k;\n k = temp_k;\n if (cnt == 0)\n while (id <= T && q[id].k == k) out[q[id].i] = false, ++id;\n else if (cnt == 1)\n while (id <= T && q[id].k == k) out[q[id].i] = (q[id].n % k == 0), ++id;\n else if (cnt == 2) {\n long long x, y;\n long long g = Exgcd(p[1], p[2], x, y);\n y = (y % p[1] + p[1]) % p[1];\n while (id <= T && q[id].k == k)\n out[q[id].i] = (q[id].n % p[1] * y % p[1] * p[2] <= q[id].n), ++id;\n } else {\n static long long d[MAX3];\n static bool vis[MAX3];\n memset(d, 0x3f, sizeof(long long) * (p[1] + 1));\n memset(vis, 0, sizeof(bool) * (p[1] + 1));\n priority_queue<pair<long long, int> > Q;\n Q.push(pair<long long, int>(d[0] = 0, 0));\n while (!Q.empty()) {\n int x = Q.top().second;\n Q.pop();\n if (vis[x]) continue;\n vis[x] = 1;\n for (int i = (2), ir = (cnt); i <= (ir); ++i) {\n int y = (x + p[i]) % p[1];\n if (chkmin(d[y], d[x] + p[i])) Q.push(pair<long long, int>(-d[y], y));\n }\n }\n while (id <= T && q[id].k == k)\n out[q[id].i] = (d[q[id].n % p[1]] <= q[id].n), ++id;\n }\n}\nint main() {\n Init();\n read(T);\n for (int i = (1), ir = (T); i <= (ir); ++i)\n read(q[i].n), read(q[i].k), q[i].i = i;\n sort(1 + q, 1 + T + q);\n int i = 1;\n while (i <= T) work(q[i].k, i);\n for (int i = (1), ir = (T); i <= (ir); ++i) puts(out[i] ? \"YES\" : \"NO\");\n return 0;\n}\n", "java": "import java.io.*;\nimport java.math.BigInteger;\nimport java.util.*;\n\npublic class Test {\n\n static int readInt() {\n int ans = 0;\n boolean neg = false;\n try {\n boolean start = false;\n for (int c = 0; (c = System.in.read()) != -1; ) {\n if (c == '-') {\n start = true;\n neg = true;\n continue;\n } else if (c >= '0' && c <= '9') {\n start = true;\n ans = ans * 10 + c - '0';\n } else if (start) break;\n }\n } catch (IOException e) {\n }\n return neg ? -ans : ans;\n }\n\n static long readLong() {\n long ans = 0;\n boolean neg = false;\n try {\n boolean start = false;\n for (int c = 0; (c = System.in.read()) != -1; ) {\n if (c == '-') {\n start = true;\n neg = true;\n continue;\n } else if (c >= '0' && c <= '9') {\n start = true;\n ans = ans * 10 + c - '0';\n } else if (start) break;\n }\n } catch (IOException e) {\n }\n return neg ? -ans : ans;\n }\n\n static String readString() {\n StringBuilder b = new StringBuilder();\n try {\n boolean start = false;\n for (int c = 0; (c = System.in.read()) != -1; ) {\n if (c >= '0' && c <= '9') {\n start = true;\n b.append((char) (c));\n } else if (start) break;\n }\n } catch (IOException e) {\n }\n return b.toString().trim();\n }\n\n static PrintWriter writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));\n\n long[] kp1 = new long[50];\n long[] kp2 = new long[50];\n long[][] xy = new long[50][2];\n long[][] bound = new long[50][];\n int K = 0;\n List<Integer> ps = new ArrayList<>();\n Map<Long, Integer> map = new HashMap<>();\n\n long[] euclid(long a, long b) {\n if (b == 0) return new long[]{1, 0};\n long[] xy = euclid(b, a % b);\n return new long[]{xy[1], xy[0] - (a/b)*xy[1]};\n }\n\n void go(long k) {\n map.put(k, K);\n long v = k;\n List<Long> f = new ArrayList<>();\n for (int p : ps)\n if (p*p > v) break;\n else if (v % p == 0) {\n f.add((long) p);\n while (v % p == 0) v /= p;\n }\n if (v == k) {\n kp1[K] = k;\n K++;\n return;\n }\n if (v > 1) f.add(v);\n if (f.size() == 2) {\n long a = f.get(0);\n long b = f.get(1);\n long[] e = euclid(a, b);\n kp1[K] = a;\n kp2[K] = b;\n xy[K] = e;\n K++;\n return;\n }\n int p1 = (int)((long)(f.get(0)));\n long[] min = new long[p1];\n Arrays.fill(min, -1);\n PriorityQueue<Long> q = new PriorityQueue<>();\n q.offer(0l);\n while (!q.isEmpty()) {\n long s = q.poll();\n int r = (int)(s % p1);\n if (min[r] >= 0) continue;\n min[r] = s;\n for (long p : f) q.offer(s + p);\n }\n kp1[K] = p1;\n bound[K] = min;\n K++;\n }\n\n void start() {\n boolean[] isp = new boolean[40_000_000];\n Arrays.fill(isp, true);\n for (int i = 2; i < isp.length; i++)\n if (isp[i]) for (int j = i + i; j < isp.length; j += i) isp[j] = false;\n for (int i = 2; i < isp.length; i++)\n if (isp[i]) ps.add(i);\n int t = readInt();\n while (t-- > 0) {\n long n = readLong(), k = readLong();\n if (k == 1) {\n writer.println(\"NO\");\n continue;\n }\n if (!map.containsKey(k)) go(k);\n int idx = map.get(k);\n if (kp1[idx] == k) {\n if (n % k == 0) writer.println(\"YES\");\n else writer.println(\"NO\");\n continue;\n }\n if (kp2[idx] > 0) {\n long x = xy[idx][0], y = xy[idx][1], a = kp1[idx], b = kp2[idx];\n BigInteger bn = BigInteger.valueOf(n), bx = BigInteger.valueOf(x), by = BigInteger.valueOf(y),\n ba = BigInteger.valueOf(a), bb = BigInteger.valueOf(b);\n BigInteger bm = bn.multiply(by).divide(ba).add(BigInteger.ONE);\n boolean found = false;\n for (long i = 0; i <= 3; i++) {\n BigInteger bmi = bm.subtract(BigInteger.valueOf(i));\n if (bn.multiply(by).subtract(ba.multiply(bmi)).compareTo(BigInteger.ZERO) >= 0 &&\n bn.multiply(bx).add(bb.multiply(bmi)).compareTo(BigInteger.ZERO) >= 0) {\n writer.println(\"YES\");\n found = true;\n break;\n }\n }\n if (!found) writer.println(\"NO\");\n continue;\n }\n long[] b = bound[idx];\n int r = (int)(n % kp1[idx]);\n if (b[r] != -1 && n >= b[r]) writer.println(\"YES\");\n else writer.println(\"NO\");\n }\n }\n\n public static void main(String[] args) {\n Test te = new Test();\n te.start();\n writer.flush();\n }\n}\n", "python": null }
HackerEarth/akbar-and-birbal-1
This is the time of Akbar and Birbal. One day , in the state there happened some riots and murders .Akbar found some N people guilty in this matter.He called Birbal to punish them .Birbal gave them a unique punishment .He ordered the first person(guilty) to dig all the N spaces indicated on the ground.Then he called the second person to dig all the even spaces on the ground(spaces in multiples of 2) ,and if the space is already digged then fill it by sand .Similarly ,he asked the third person to dig all the spaces in multiple of 3 and fill it if it is already digged...an so on. After the N persons have completed their punishments,Birbal asked the first person to tell the amount of spaces remained undigged .What is the answer of this person?? INPUT: A single integer(T),denoting the number of test cases. Then,following T lines will contain a single line containing integer N. OUTPUT: A integer for each test case denoting the answer of the person. Constraints: 0<T ≤ 100 0<N<10^18 SAMPLE INPUT 1 2 SAMPLE OUTPUT 1 Explanation In given sample Input,there are 2 persons. So first will come and dig the 1st and 2nd space.Then ,2nd person will come and as the 2nd space is already digged so he will fill 2nd space.Therefore,the number of undigged spaces is only 1 i.e. the required answer.
[ { "input": { "stdin": "100\n1804246908\n846901785\n1681651770\n1714595508\n1957703548\n424217739\n719858557\n1649719876\n596492227\n1189606931\n1025170345\n1350453279\n783340703\n1102486856\n2044852544\n1967469571\n1365143593\n1540344180\n304071735\n1303419634\n34999296\n521572531\n294685402\n1726914874\n336447440\n860992188\n278706169\n233649838\n2145127752\n468681487\n1101480741\n1801937354\n1315597752\n635697846\n1369096069\n1125864614\n1059928837\n2088972752\n628149949\n1656437344\n1131142598\n1653336713\n859455106\n1914501165\n608389119\n756871027\n1734533551\n1973549900\n149786077\n2038619220\n1129532805\n184789933\n412755776\n1424231242\n1911716234\n749214502\n137795124\n42992614\n982875646\n135485642\n511679686\n2084375271\n1937433069\n1827293581\n572636407\n1159092461\n805722462\n1632581325\n1100628138\n1433887991\n1141582338\n84344712\n939788927\n2001055813\n1998854106\n1548194021\n610490727\n1585950541\n1374306972\n760286178\n1477132655\n356407930\n945086535\n1889903706\n1780653591\n709366951\n491683230\n1918458852\n752365326\n1474574000\n2053954612\n1264059507\n1411512107\n1843950428\n943917017\n1984165469\n855606976\n1749656758\n1469309763\n1956253310" }, "output": { "stdout": "1804204432\n846872684\n1681610763\n1714554101\n1957659303\n424197143\n719831727\n1649679260\n596467804\n1189572441\n1025138327\n1350416531\n783312715\n1102453653\n2044807324\n1967425215\n1365106646\n1540304933\n304054298\n1303383532\n34993380\n521549694\n294668236\n1726873318\n336429098\n860962846\n278689475\n233634553\n2145081437\n468659838\n1101447553\n1801894905\n1315561481\n635672633\n1369059068\n1125831061\n1059896281\n2088927047\n628124887\n1656396645\n1131108966\n1653296052\n859425790\n1914457410\n608364454\n756843516\n1734491904\n1973505476\n149773839\n2038574069\n1129499197\n184776340\n412735460\n1424193504\n1911672511\n749187131\n137783386\n42986058\n982844296\n135474003\n511657066\n2084329617\n1937389053\n1827250835\n572612478\n1159058416\n805694077\n1632540920\n1100594963\n1433850125\n1141548551\n84335529\n939758272\n2001011080\n1998809398\n1548154674\n610466019\n1585910718\n1374269901\n760258605\n1477094222\n356389052\n945055793\n1889860233\n1780611394\n709340318\n491661057\n1918415052\n752337897\n1474535600\n2053909292\n1264023954\n1411474537\n1843907487\n943886294\n1984120926\n855577726\n1749614930\n1469271432\n1956209081\n" } }, { "input": { "stdin": "100\n1804289384\n846930887\n1681692778\n1714636916\n1957747794\n424238336\n719885387\n1649760493\n596516650\n1189641422\n1025202363\n1350490028\n783368691\n1102520060\n2044897764\n1967513927\n1365180541\n1540383427\n304089173\n1303455737\n35005212\n521595369\n294702568\n1726956430\n336465783\n861021531\n278722863\n233665124\n2145174068\n468703136\n1101513930\n1801979803\n1315634023\n635723059\n1369133070\n1125898168\n1059961394\n2089018457\n628175012\n1656478043\n1131176230\n1653377374\n859484422\n1914544920\n608413785\n756898538\n1734575199\n1973594325\n149798316\n2038664371\n1129566414\n184803527\n412776092\n1424268981\n1911759957\n749241874\n137806863\n42999171\n982906997\n135497282\n511702306\n2084420926\n1937477085\n1827336328\n572660337\n1159126506\n805750847\n1632621730\n1100661314\n1433925858\n1141616125\n84353896\n939819583\n2001100546\n1998898815\n1548233368\n610515435\n1585990365\n1374344044\n760313751\n1477171088\n356426809\n945117277\n1889947179\n1780695789\n709393585\n491705404\n1918502652\n752392755\n1474612400\n2053999933\n1264095061\n1411549677\n1843993369\n943947740\n1984210013\n855636227\n1749698587\n1469348095\n1956297540" }, "output": { "stdout": 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} } ]
{ "tags": [], "title": "akbar-and-birbal-1" }
{ "cpp": null, "java": null, "python": "import math\nfor _ in xrange(input()):\n\tn = input()\n\tprint (n - int(math.sqrt(n)))" }
HackerEarth/building-network
There are N routers. The cost of the wires required in connecting two routers, i and j, is R[i]+R[j] where R[i] is the number of slots in the i-th router and i!=j. You need to build a network, such that there is a path between every pair of routers. Find the minimum cost of building such a network.The connection between the routers is bidirectional. Input: The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. First line contains an integer N denoting the number of routers. Second line contains N space separated integers R[i], the number of slots in the i-th router. Output: For each test case, print a single integer, the minimum cost to build such network. Constraints: 1 ≤ T ≤ 5 2 ≤ N ≤ 10^3 1 ≤ R[i] ≤ 10^9 SAMPLE INPUT 2 2 1 2 3 1 1 1 SAMPLE OUTPUT 3 4
[ { "input": { "stdin": "2\n2\n1 2\n3\n1 1 1\n\nSAMPLE" }, "output": { "stdout": "3\n4" } }, { "input": { "stdin": "5\n42\n18468 6335 26501 19170 15725 11479 29359 26963 24465 5706 28146 23282 16828 9962 492 2996 11943 4828 5437 32392 14605 3903 154 293 12383 17422 18717 19719 19896 5448 21727 14772 11539 1870 19913 25668 26300 17036 9895 28704 23812 31323 \n334\n17674 4665 15142 7712 28254 6869 25548 27645 32663 32758 20038 12860 8724 9742 27530 779 12317 3036 22191 1843 289 30107 9041 8943 19265 22649 27447 23806 15891 6730 24371 15351 15007 31102 24394 3549 19630 12624 24085 19955 18757 11841 4967 7377 13932 26309 16945 32440 24627 11324 5538 21539 16119 2083 22930 16542 4834 31116 4640 29659 22705 9931 13978 2307 31674 22387 5022 28746 26925 19073 6271 5830 26778 15574 5098 16513 23987 13291 9162 18637 22356 24768 23656 15575 4032 12053 27351 1151 16942 21725 13967 3431 31108 30192 18008 11338 15458 12288 27754 10384 14946 8910 32210 9759 24222 18589 6423 24947 27507 13031 16414 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{ "tags": [], "title": "building-network" }
{ "cpp": null, "java": null, "python": "t=input()\nwhile t>0:\n n=input()\n arr=[]\n arr=map(int,raw_input().split())\n brr=sorted(arr)\n l=len(brr)\n su=0\n for i in range(1,l):\n a=brr[0]+brr[i]\n su=su+a\n print su\n t=t-1" }
HackerEarth/dawood-the-mathematician
Dr.Dawood is another mathematician who is more geekier than Osama (that's why, ++). Dawood deals with more complex problems than Osama usually deals with. He also recruits people to be his sub-ordinates. He usually gives them "trivial" problems as test for them to solve and earn their position to be his sub-ordinate. You went to attend such a test and you were given the following question. Lets define a function A(N,K) where it signifies the number of ways in which we can draw K objects from a pool of N objects. Lets define another function B(x1,x2,x3,x4,...) where it signifies the largest integer which can perfectly divide all the integers x1,x2,x3,... Using these two functions , Dawood gave you a problem. The problem is stated as follows.. Given an integer N find the value of the equation, O = B(A(2N,1),A(2N,3),A(2N,5),....,A(2N,(2*N)-1) Input consists of T in the first line, which is the total number of testcases to be processed. Followed by T lines of inputs. Each testcase consists of value N. Output the value of the equation O in a new line. 1 ≤ T ≤ 1000 1 ≤ N ≤ 10^12 SAMPLE INPUT 4 3 1 2 5 SAMPLE OUTPUT 2 2 4 2
[ { "input": { "stdin": "4\n3\n1\n2\n5\n\nSAMPLE" }, "output": { "stdout": "2\n2\n4\n2" } } ]
{ "tags": [], "title": "dawood-the-mathematician" }
{ "cpp": null, "java": null, "python": "for i in range(0,int(input())):\n f =0\n ans = 0\n x = int(input())\n while x%2 == 0:\n f = f+1\n x= x/2\n ans = pow(2,(f+1))\n print(ans)" }
HackerEarth/game-of-divisors
Two players are playing the following game with a positive integer N. On his turn a player has to write down on paper some integer between 1 and N. But it's forbidden to write an integer which is a divisor of some number already written on paper. For example N = 8 and numbers already written are: 6, 4, 7. In this case the new integer can be only 5 or 8. If a player can not write a new number on his turn then he loses. Given the integer N can you figure out who will win the game if we assume that both players play optimally? Input The first line contains T - the number of test cases. The following T lines contain one integer N each for the following test case. Output For each test case output 1 or 2 on a separate line depending on the answer for this test case. Constraints 1 ≤ T, N ≤ 30 SAMPLE INPUT 1 3 SAMPLE OUTPUT 1
[ { "input": { "stdin": "1\n3\n\nSAMPLE" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n6\n7\n8\n9\n10" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n9\n\nESMNOD" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n1\n7\n8\n9\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n1\n7\n13\n9\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n2\n7\n8\n18\n3" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n12\n7\n8\n11\n14" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n8\n2\n7\n8\n4" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n3\n26\n12\n18\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n2\n5\n16\n18\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n5\n\nSBMPME" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n1\n8\n13\n9\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n3\n\nSBMPME" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1\n5\n\nSAMPLE" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1\n7\n\nNSMEOD" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n12\n8\n8\n16\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n6\n14\n12\n18\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n12\n8\n4\n26\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n8\n2\n18\n9\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n1\n14\n2\n2\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n5\n1\n12\n8\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n12\n11\n4\n13\n43" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n9\n8\n4\n26\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n6\n7\n8\n18\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n11\n8\n12\n25\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n2\n10\n13\n19\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n3\n\nESMNOB" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1\n5\n\nSLMOAE" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "1\n7\n\nNTMEOD" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n8\n1\n20\n8\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n2\n7\n16\n18\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n5\n\nSLMPAE" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n1\n11\n2\n13\n20" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n3\n\nSBMNOE" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n5\n11\n4\n13\n43" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n8\n2\n6\n9\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n1\n11\n2\n13\n43" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n12\n7\n8\n11\n25" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n5\n\nSBMNOE" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n11\n8\n8\n25\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n6\n7\n8\n11\n14" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n6\n8\n12\n18\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n2\n10\n16\n29\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n6\n14\n2\n2\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n5\n1\n10\n8\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n11\n3\n1\n26\n2" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n3\n\nSAMPME" }, "output": { "stdout": "1\n" } }, { "input": { "stdin": "5\n2\n5\n16\n29\n6" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "5\n2\n10\n12\n5\n4" }, "output": { "stdout": "1\n1\n1\n1\n1\n" } }, { "input": { "stdin": "1\n4\n\nMLSOAE" }, "output": { "stdout": "1\n" } } ]
{ "tags": [], "title": "game-of-divisors" }
{ "cpp": null, "java": null, "python": "def winner(N):\n\tls=[1]\n\tfor num in range(2, N + 1):\n\t\tif num > 1:\n\t\t\tfor i in range(2,num):\n\t\t\t\tif (num % i) == 0:\n\t\t\t\t\tbreak\n\t\telse:\n\t\t\tls.append(num)\n\tif len(ls)%2==0:\n\t\treturn '2'\n\telse:\n\t\treturn '1'\nfor i in xrange(int(raw_input())):\n\tprint winner(int(raw_input()))" }
HackerEarth/karan-and-strings
After the Tatvik Hiring Challenge, Karan's NLP professor has given him another homework. Since Manhattan Associates Hiring Challenge is round the corner and Karan is busy preparing for it, he turns to you for help. Given a string, replace all the consecutively occurring characters by a single, same character. Input: The first line contains the number of test cases T. Each test case contains the string, on a separate line. Output: Print the modified string, each on a new line. Constraints: 1 ≤ T ≤ 100 1 ≤ length(string) < 10^6 SAMPLE INPUT 1 aabbcc SAMPLE OUTPUT abc
[ { "input": { "stdin": "1\naabbcc\n\nSAMPLE" }, "output": { "stdout": "abc\n" } }, { "input": { "stdin": "10\naabbccddeeffgghhiijjkkllmmnnooppqqrrssttuuvvwwxxyyzz\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa\nabcdefghijklmnopqrstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaaa\n....................,,,,,,,,,,,,,,,,,,,,,aaaaaaaaaaaaa\naaaaaaaaaaaaa.................dddddddddddkkkkkkkkkkkkvvvvvvvvvvllllllllllllwww\n''''''''''''''''''''''''''''''''''''''''''''''''''''''rrrrrrrrrrrrrrrrrrrr\nsssssssssssssssssssfffffffffffffffffffffffffffffweeeeeeeeeeeeeeeeeeeeecbbbbbbb\naaaaaaaaaaaaaawwwwwwwwwwwwfffffffffffffflsssssssssssssssossspaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdefghijklmnopqrstuvwxyz\na\nabcdefghijklmnopqrstuvwxyz\n.a\n.,a\na.dkvlw\n'r\nsfwecb\nawflsospa\n.a.a.\n" } }, { "input": { "stdin": "10\naabbccddkeffgghhiijjkellmmnnooppqprrssttuuvvwwxxyyzz\naaaaaaaaaaaaaaaa`aaaaaaaaaaaaaaaaabaaaaaaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naaaaaaaaaaaaa.................dddddddddddkkkkkkkkkkkkvvvvvvvvvvllmlllllllllwww\n''''''''''''''''''''''''''''''''''('''''''''''''''''''rrrrrrrrrrrrrrrrrrrr\nsssssssssssssssssssffffffgffffffffffffffffffffffweeeeeeeeeeeeeeeeeeeeecbbbbbbb\naaaaaaaaaaaaaawwwwwwwwswwwfffffffffffffflssssssswsssssssossspaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefghijkelmnopqprstuvwxyz\na`aba\nabcdefghijrlmnopqkstuvwxyz\n.a\na,.\na.dkvlmlw\n'('r\nsfgfwecb\nawswflswsospa\n.a.a.\n" } }, { "input": { "stdin": "10\n`abbccdkkeffgxhhiijjdellmmnnooqpqprrstttuvuvwxxfyyzz\naaaabaaaaaaaaaaa`aaaaaaaaaaaab`aaabaaaabaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaa`aaaaaabaaaaaaba\n,...................,,,,+,.,,,,,,,,,,,,,,aaaaaaaabaaba\nwwwlllllllllmklvwvvvvvuvvkkkkkkkkkkkkddddddddddd......-.../......aaaaaaaaaa`aa\nrrr'rrrrrrrrrrrrrrrr''&''''''''''''''''(''''r'''''''''''''''''''''''''('''\nssssssssssssssdfsssffffffgffffffffsfffffffffffffweeeeefeeeeeeeeeeeeesecbbbbbbb\naaaaaaaaaaaaaawxwwwwwwswwwfffffffegffffflsassssswsssstsspsssqaaaaaraaaaaa\n.aaaaaaaaa............aaaaaaaaabaaaaaaaaaaaaaaaaa/" }, "output": { "stdout": "`abcdkefgxhijdelmnoqpqprstuvuvwxfyz\naba`ab`ababa\nabcdefghijrlmnopqkstuvwxyz\n.a`ababa\n,.,+,.,ababa\nwlmklvwvuvkd.-./.a`a\nr'r'&'('r'('\nsdfsfgfsfwefesecb\nawxwswfegflsaswstspsqara\n.a.aba/\n" } }, { "input": { "stdin": 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"10\naabbccddkeffgxhhiijjkellmmnnooqpqprrssttuvuvwxxfyyzz\naaaabaaaaaaaaaaa`aaaaaaaaaaaab`aaabaaaabaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaaaaaaaaabaaaaaaba\n,...................,,,,,,.,,,,,,,,,,,,,,aaaaaaaabaaaa\nwwwlllllllllmllvvvvvvvuvvkkkkkkkkkkkkddddddddddd......-.../......aaaaaaaaaa`aa\nrrr'rrrrrrrrrrrrrrrr'''''''''''''''''''(''''r'''''''''''''''''''''''''('''\nssssssssssssssdfsssffffffgffffffffsfffffffffffffweeeeefeeeeeeeeeeeeesecbbbbbbb\naaaaaaraaaaaqsssosstsssswsssssaslffffffefffffffwwwswwwwwwxwaaaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaabaaaaaaaaaaaaaaaaa/" }, "output": { "stdout": "abcdkefgxhijkelmnoqpqprstuvuvwxfyz\naba`ab`ababa\nabcdefghijrlmnopqkstuvwxyz\n.ababa\n,.,.,aba\nwlmlvuvkd.-./.a`a\nr'r'('r'('\nsdfsfgfsfwefesecb\naraqsostswsaslfefwswxwa\n.a.aba/\n" } }, { "input": { "stdin": "10\naabbccddkeffgghhiijjkellmmnnooppqprrssttuuvvwwxxyyzz\naaaaaaaaaaaaaaaa`aaaaaaaaaaaaaaaaabaaaaaaa\nabcdefghijklmnopqrstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naaaaaaaaaaaaa.................dddddddddddkkkkkkkkkkkkvvvvvvvvvvllmlllllllllwww\n''''''''''''''''''''''''''''''''''('''''''''''''''''''rrrrrrrrrrrrrrrrrrrr\nsssssssssssssssssssfffffffffffffffffffffffffffffweeeeeeeeeeeeeeeeeeeeecbbbbbbb\naaaaaaaaaaaaaawwwwwwwwswwwfffffffffffffflssssssswsssssssossspaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefghijkelmnopqprstuvwxyz\na`aba\nabcdefghijklmnopqrstuvwxyz\n.a\na,.\na.dkvlmlw\n'('r\nsfwecb\nawswflswsospa\n.a.a.\n" } }, { "input": { "stdin": "10\n`abbccdkkeffgxhhiijjdellmmnnooqpqprrstttuvuvwxxfyyzz\naaaabaaaaaaaaaaa`aaaaaaaaaaaab`aaabaaaabaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaa`aaaaaabaaaaaaba\n,...................,,,,+,.,,,,,,,,,,,,,,aaaaaaaabaaba\nwwwlllllllllmklvwvvvuvuvvkkkkkkkkkkkkddddddddddd......-.../......aaaaaaaaaa`aa\nrrr'rrrrrrrrrrrrrrrr''&'''''''''''''(''(''''r'''''''''''''''''''''''''('''\nssssssssssssssdfsssffffffgffffffffsfffffffffffffweeeeefeeeeeeeeeeeeesecbbbbbbb\naaaaaaaaaaaaaawxwwwwwwswwwfffffffegffffflsassssswsssstsspsssqaaaaaraaaaaa\n.aaaaaaaaa............aaaaaaaaabaaaaaaaaaaaaaaaaa/" }, "output": { "stdout": "`abcdkefgxhijdelmnoqpqprstuvuvwxfyz\naba`ab`ababa\nabcdefghijrlmnopqkstuvwxyz\n.a`ababa\n,.,+,.,ababa\nwlmklvwvuvuvkd.-./.a`a\nr'r'&'('('r'('\nsdfsfgfsfwefesecb\nawxwswfegflsaswstspsqara\n.a.aba/\n" } }, { "input": { "stdin": "1\nc`_e^a\n\n=FMSKQ" }, "output": { "stdout": "c`_e^a\n" } }, { "input": { "stdin": "10\naabbccddkeffgghhiijjkellmmnnooppqprrssttuvuvwxxxyyzz\naaaabaaaaaaaaaaa`aaaaaaaaaaaab`aaabaaaaaaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaba\naaaabaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naaaaaaaaaaaaa..........-......dddddddddddkkkkkkkkkkkkvvuvvvvvvvllmlllllllllwww\n'''('''''''''''''''''''''''''r''''('''''''''''''''''''rrrrrrrrrrrrrrrr'rrr\nbbbbbbbceseeeeeeeeeeeeefeeeeewffffffffffffffffffffffgffffffssssessssssssssssss\naaaaaaaaaaaaqsssosstsssswssssssslffffffefffffffwwwswwwwwwwwaaaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefghijkelmnopqprstuvuvwxyz\naba`ab`aba\nabcdefghijrlmnopqkstuvwxyz\n.aba\naba,.\na.-.dkvuvlmlw\n'('r'('r'r\nbcesefewfgfses\naqsostswslfefwswa\n.a.a.\n" } }, { "input": { "stdin": "10\naabbccddkeffgghhiijjkellmmnnooppqprrssttuvuvwwxxyyzz\naaaabaaaaaaaaaaa`aaaaaaaaaaaab`aaabaaaaaaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaba\naaaabaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naaaaaaaaaaaaa.................dddddddddddkkkkkkkkkkkkvvvvvvvvvvllmlllllllllwww\n'''('''''''''''''''''''''''''r''''('''''''''''''''''''rrrrrrrrrrrrrrrr'rrr\nbbbbbbbceeeeeeeeeeeeeeefeeeeewffffffffffffffffffffffgffffffsssssssssssssssssss\naaaaaaaaaaaaqsssosstsssswssssssslffffffefffffffwwwswwwwwwwwaaaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefghijkelmnopqprstuvuvwxyz\naba`ab`aba\nabcdefghijrlmnopqkstuvwxyz\n.aba\naba,.\na.dkvlmlw\n'('r'('r'r\nbcefewfgfs\naqsostswslfefwswa\n.a.a.\n" } }, { "input": { "stdin": "10\naabbccddkeffgghhiijjkellmmnnooppqprrssttuvuvwwxxyyzz\naaaaaaaaaaaaaaaa`aaaaaaaaaaaaaaaaabaaaaaaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naaaaaaaaaaaaa.................dddddddddddkkkkkkkkkkkkvvvvvvvvvvllmlllllllllwww\n''''''''''''''''''''''''''''''''''('''''''''''''''''''rrrrrrrrrrrrrrrrrrrr\nsssssssssssssssssssffffffgffffffffffffffffffffffweeeeeeeeeeeeeeeeeeeeecbbbbbbb\naaaaaaaaaaaaaawwwwwwwwswwwfffffffffffffflssssssswsssstssossspaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefghijkelmnopqprstuvuvwxyz\na`aba\nabcdefghijrlmnopqkstuvwxyz\n.a\na,.\na.dkvlmlw\n'('r\nsfgfwecb\nawswflswstsospa\n.a.a.\n" } }, { "input": { "stdin": "10\naabbccddkeffgfhhiijjkellmmnnooqpqprrssttuvuvwxxxyyzz\naaaabaaaaaaaaaaa`aaaaaaaaaaaab`aaabaaaabaa\nabcdefghijrlmnopqkstuvwxyz\nabaaaaaaaaaaaaaaaaaaaa...............................\naaaabaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naa`aaaaaaaaaa..........-......dddddddddddkkkkkkkkkkkkvvuvvvvvvvllmlllllllllwww\n'''('''''''''''''''''''''''''r''''('''''''''''''''''''rrrrrrrrrrrrrrrr'rrr\nssssssssssssssefsssffffffgffffffffsfffffffffffffweeeeefeeeeeeeeeeeeesecbbbbbbb\naaaaaaaaaaaaaawwwwwwwwswwwfffffffefffffflsassssswsssstssosssqaaaaasaaaaaa\n.aaaaaaaaa............aaaaaaaaabaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefgfhijkelmnoqpqprstuvuvwxyz\naba`ab`ababa\nabcdefghijrlmnopqkstuvwxyz\naba.\naba,.\na`a.-.dkvuvlmlw\n'('r'('r'r\nsefsfgfsfwefesecb\nawswfeflsaswstsosqasa\n.a.aba.\n" } }, { "input": { "stdin": "10\naabbccddkeffgghhiijjkellmmnnooppqprrssttuuvvwwxxyyzz\naaaaaaaaaaaaaaaa`aaaaaaaaaaaaaaaaabaaaaaaa\nabcdefghijklmnopqrstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naaaaaaaaaaaaa.................dddddddddddkkkkkkkkkkkkvvvvvvvvvvllmlllllllllwww\n''''''''''''''''''''''''''''''''''('''''''''''''''''''rrrrrrrrrrrrrrrrrrrr\nsssssssssssssssssssffffffgffffffffffffffffffffffweeeeeeeeeeeeeeeeeeeeecbbbbbbb\naaaaaaaaaaaaaawwwwwwwwswwwfffffffffffffflssssssswsssssssossspaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefghijkelmnopqprstuvwxyz\na`aba\nabcdefghijklmnopqrstuvwxyz\n.a\na,.\na.dkvlmlw\n'('r\nsfgfwecb\nawswflswsospa\n.a.a.\n" } }, { "input": { "stdin": 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"1\na^e_`b\n\nQLSMF=" }, "output": { "stdout": "a^e_`b\n" } }, { "input": { "stdin": "10\naabbccddkeffgghhiijjkellmmnnooppqprrssttuuvvwwxxyyzz\naaaaaaaaaaaaaaaa`aaaaaaaaaaaaaaaaaaaaaaaaa\nabcdefghijklmnopqrstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaa,,,,,,,,,,,,,,,,,,,,,....................\naaaaaaaaaaaaa.................dddddddddddkkkkkkkkkkkkvvvvvvvvvvllmlllllllllwww\n''''''''''''''''''''''''''''''''''('''''''''''''''''''rrrrrrrrrrrrrrrrrrrr\nsssssssssssssssssssfffffffffffffffffffffffffffffweeeeeeeeeeeeeeeeeeeeecbbbbbbb\naaaaaaaaaaaaaawwwwwwwwswwwfffffffffffffflssssssswsssssssossspaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaaaaaaaaaaaaaaaaaaaa." }, "output": { "stdout": "abcdkefghijkelmnopqprstuvwxyz\na`a\nabcdefghijklmnopqrstuvwxyz\n.a\na,.\na.dkvlmlw\n'('r\nsfwecb\nawswflswsospa\n.a.a.\n" } }, { "input": { "stdin": "1\nbaaea`\n\nFMM=TR" }, "output": { "stdout": "baea`\n" } }, { "input": { "stdin": 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"10\naabbccddkeffgxhhiijjkellmmnnooqpqprrssttuvuvwxxfyyzz\naaaabaaaaaaaaaaa`aaaaaaaaaaaab`aaabaaaabaa\nabcdefghijrlmnopqkstuvwxyz\n...............................aaaaaaaaaaaaaaaaaaaaba\n....................,,,,,,,,,,,,,,,,,,,,,aaaaaaaabaaaa\nwwwlllllllllmllvvvvvvvuvvkkkkkkkkkkkkddddddddddd......-.../......aaaaaaaaaa`aa\nrrr'rrrrrrrrrrrrrrrr'''''''''''''''''''(''''r'''''''''''''''''''''''''('''\nssssssssssssssdfsssffffffgffffffffsfffffffffffffweeeeefeeeeeeeeeeeeesecbbbbbbb\naaaaaaraaaaaqsssosstsssswsssssaslffffffefffffffwwwswwwwwwxwaaaaaaaaaaaaaa\n.aaaaaaaaa............aaaaaaaaabaaaaaaaaaaaaaaaaa/" }, "output": { "stdout": "abcdkefgxhijkelmnoqpqprstuvuvwxfyz\naba`ab`ababa\nabcdefghijrlmnopqkstuvwxyz\n.aba\n.,aba\nwlmlvuvkd.-./.a`a\nr'r'('r'('\nsdfsfgfsfwefesecb\naraqsostswsaslfefwswxwa\n.a.aba/\n" } } ]
{ "tags": [], "title": "karan-and-strings" }
{ "cpp": null, "java": null, "python": "T = int(raw_input())\n\nif T in range(1, 101):\n\tfor i in range(T):\n\t\tstring = raw_input()\n\t\tif len(string) in range(1, 10**6):\n\t\t\tnewString = ''\n\t\t\tfor s in string:\n\t\t\t\tif newString:\n\t\t\t\t\tif not newString[-1] == s:\n\t\t\t\t\t\tnewString += s\n\t\t\t\telse:\n\t\t\t\t\tnewString = s\n\t\t\tprint newString" }
HackerEarth/mittal-wants-to-go-to-play
Mittal lives in the Niti Colony. The colony has N houses numbered from 1 to N. There are M bidirectional roads in the colony for travelling between houses. There might be multiple roads between two houses. Mittal lives in the house with index 1. He has friends in all houses of the colony. He is always wanting to visit them to play. But his mom is really strict. She only allows him to go out for K units of time. This time includes the time taken to go to his friend's house , play with the friend and time taken to come back home. You are given Q queries. In each query, Mittal wants to go to his friend in house A , given K units of time. Help him find the maximum time that he can play. If K units of time is not sufficient to visit his friend and return back, Mittal will not go and playing time will be zero. Input: First line contains an integer T. T test cases follow. First line of each test case contains two space-separated integers N, M Next M lines contain three space-separated integers X, Y and C, denoting that there is Bidirectional road between house X and house Y with cost C. Next line contains an integer Q Following Q lines describe the queries. Each query contains two space-separated integers A and K. Output: Print the answer to each query in a new line. Constraints: 1 ≤ T ≤ 10 1 ≤ N, Q ≤ 10^4 1 ≤ M ≤ 10^5 1 ≤ X, Y, A ≤ N 1 ≤ K ≤ 10^4 1 ≤ C ≤ 1000 SAMPLE INPUT 1 5 5 1 2 2 2 3 4 3 4 5 4 5 1 1 4 7 3 4 20 5 21 3 5 SAMPLE OUTPUT 6 5 0
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"input": { "stdin": "1\n5 5\n1 3 2\n2 3 4\n3 4 5\n1 2 1\n2 4 0\n1\n2 20\n5 28\n6 5\n\nSAMPLE" }, "output": { "stdout": "18\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 30\n1 11\n2 13\n5 6\n1 2 0\n2 3 4\n2 3 10\n2 3 4\n1 2 5\n2 0 6\n5\n2 20\n3 22\n3 46\n0 41\n3 50" }, "output": { "stdout": "41\n26\n11\n9\n20\n14\n38\n29\n42\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n3 4 5\n4 5 1\n1 4 7\n3\n4 20\n5 21\n2 5\n\nSAMPLE" }, "output": { "stdout": "6\n5\n1\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 30\n2 11\n2 26\n3 6\n1 2 2\n2 3 4\n2 3 10\n2 3 4\n1 2 5\n2 3 6\n0\n3 20\n3 26\n3 46\n2 41\n3 50" }, "output": { "stdout": "41\n26\n7\n22\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n3 3 1\n4 5 0\n1 2 7\n3\n2 20\n5 21\n3 10\n\nELPMAS" }, "output": { "stdout": "16\n0\n0\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n4 3 4\n3 4 3\n4 4 1\n2 4 0\n2\n1 33\n5 28\n6 6\n\nSAMPLE" }, "output": { "stdout": "33\n0\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n3 4 5\n4 5 1\n2 4 7\n1\n4 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "2\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 30\n1 11\n2 13\n3 6\n1 2 0\n2 3 4\n2 3 10\n2 3 3\n1 2 5\n2 3 6\n5\n2 20\n3 22\n3 46\n0 41\n3 50" }, "output": { "stdout": "41\n26\n11\n9\n20\n16\n40\n0\n44\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n3 3 1\n4 5 1\n1 1 7\n3\n4 20\n5 21\n1 1\n\nSAMPLE" }, "output": { "stdout": "0\n0\n1\n" } }, { "input": { "stdin": "1\n5 5\n1 2 3\n2 3 4\n3 0 5\n4 5 1\n1 4 7\n3\n4 20\n0 40\n3 5\n\nSAMPLE" }, "output": { "stdout": "6\n16\n0\n" } }, { "input": { "stdin": "1\n7 5\n1 2 4\n2 3 4\n0 3 5\n4 0 1\n2 1 7\n3\n1 22\n3 28\n3 5\n\nSBMPLE" }, "output": { "stdout": "22\n12\n0\n" } }, { "input": { "stdin": "1\n5 5\n2 2 3\n2 3 4\n1 2 5\n4 5 1\n1 4 8\n3\n5 20\n5 21\n3 5\n\nS@MPLE" }, "output": { "stdout": "2\n3\n0\n" } }, { "input": { "stdin": "1\n5 5\n1 3 2\n2 3 4\n1 1 5\n5 5 0\n1 4 7\n3\n4 20\n5 21\n1 7\n\nSAMPLE" }, "output": { "stdout": "6\n0\n7\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n3 4 5\n4 5 1\n2 4 7\n1\n1 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n0 3 4\n3 4 3\n4 2 1\n2 4 0\n1\n1 37\n5 21\n3 5\n\nELOMAS" }, "output": { "stdout": "37\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n3 4 5\n4 5 1\n1 4 7\n1\n4 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 30\n2 11\n2 26\n3 6\n1 2 2\n2 3 4\n2 3 10\n2 3 4\n1 2 5\n2 3 6\n5\n3 20\n3 22\n3 46\n2 41\n3 50" }, "output": { "stdout": "41\n26\n7\n22\n8\n10\n34\n37\n38\n" } }, { "input": { "stdin": "2\n2 2\n1 2 1\n1 2 2\n4\n2 45\n2 30\n2 11\n2 26\n3 6\n1 2 2\n2 3 4\n2 3 10\n2 3 4\n1 2 5\n2 3 6\n5\n3 20\n3 22\n3 46\n2 41\n3 50" }, "output": { "stdout": "43\n28\n9\n24\n8\n10\n34\n37\n38\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n4 3 4\n3 4 5\n4 2 1\n2 4 0\n2\n1 14\n5 28\n6 6\n\nSAMPLE" }, "output": { "stdout": "14\n0\n" } }, { "input": { "stdin": "1\n5 5\n1 3 2\n2 3 4\n1 4 5\n5 5 1\n1 4 7\n3\n4 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "10\n0\n1\n" } }, { "input": { "stdin": "1\n7 5\n1 2 2\n2 3 4\n1 3 7\n1 5 0\n2 2 7\n3\n0 20\n3 16\n3 5\n\nSAMPLE" }, "output": { "stdout": "0\n4\n0\n" } }, { "input": { "stdin": "2\n2 2\n2 2 1\n1 2 2\n4\n2 45\n2 30\n2 11\n2 26\n5 6\n1 2 1\n2 3 4\n2 0 10\n2 3 4\n1 2 5\n2 3 6\n5\n3 20\n3 22\n3 46\n2 41\n3 50" }, "output": { "stdout": "41\n26\n7\n22\n10\n12\n36\n39\n40\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n4 3 4\n3 4 3\n4 4 1\n2 4 0\n2\n1 32\n5 28\n6 6\n\nSAMPLE" }, "output": { "stdout": "32\n0\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 30\n1 11\n2 2\n5 6\n1 2 0\n2 3 4\n2 3 10\n2 3 4\n1 2 5\n2 3 6\n5\n2 20\n3 22\n3 46\n0 41\n3 50" }, "output": { "stdout": "41\n26\n11\n0\n20\n14\n38\n0\n42\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 30\n1 11\n2 13\n3 6\n1 2 2\n2 3 4\n2 3 10\n2 3 4\n1 2 5\n2 3 6\n5\n3 20\n3 22\n3 46\n0 41\n3 9" }, "output": { "stdout": "41\n26\n11\n9\n8\n10\n34\n0\n0\n" } }, { "input": { "stdin": "1\n8 5\n1 2 3\n2 3 4\n2 4 5\n4 5 1\n1 4 7\n3\n0 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "0\n5\n0\n" } }, { "input": { "stdin": "2\n2 2\n2 2 1\n1 2 2\n4\n2 76\n2 9\n2 11\n2 4\n5 6\n1 2 1\n2 3 4\n2 0 10\n2 3 4\n1 2 5\n2 3 6\n5\n3 20\n3 22\n3 46\n2 41\n3 50" }, "output": { "stdout": "72\n5\n7\n0\n10\n12\n36\n39\n40\n" } }, { "input": { "stdin": "1\n5 5\n2 1 3\n3 3 4\n1 -1 5\n4 1 1\n1 3 13\n3\n1 23\n5 42\n5 8\n\nRAMPLE" }, "output": { "stdout": "23\n32\n0\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n1 4 5\n5 5 1\n1 4 7\n3\n4 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "10\n0\n0\n" } }, { "input": { "stdin": "1\n8 5\n1 2 3\n3 3 4\n2 4 5\n2 5 1\n1 4 7\n3\n0 20\n5 26\n3 5\n\nSAMPLE" }, "output": { "stdout": "0\n18\n0\n" } }, { "input": { "stdin": "2\n2 2\n1 2 1\n1 2 2\n4\n2 45\n2 30\n2 15\n2 26\n3 6\n1 2 2\n2 3 4\n2 3 10\n2 3 4\n1 2 5\n2 3 6\n5\n3 20\n3 22\n3 46\n2 41\n3 50" }, "output": { "stdout": "43\n28\n13\n24\n8\n10\n34\n37\n38\n" } }, { "input": { "stdin": "1\n5 5\n1 4 2\n4 3 4\n3 4 5\n4 2 1\n2 4 0\n1\n1 31\n5 28\n6 8\n\nSAMPLE" }, "output": { "stdout": "31\n" } }, { "input": { "stdin": "1\n5 5\n1 2 3\n2 3 4\n3 3 5\n4 5 1\n1 4 7\n3\n4 20\n5 40\n3 5\n\nSAMPLE" }, "output": { "stdout": "6\n24\n0\n" } }, { "input": { "stdin": "1\n5 5\n1 2 2\n2 3 4\n3 3 5\n4 5 1\n1 1 7\n3\n4 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "0\n0\n0\n" } }, { "input": { "stdin": "1\n7 5\n1 2 2\n2 3 4\n0 3 5\n4 5 1\n2 1 7\n2\n1 20\n3 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "20\n9\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 22\n1 11\n2 13\n5 6\n1 2 0\n2 3 0\n2 3 10\n2 3 4\n1 2 5\n2 0 6\n5\n2 29\n3 22\n3 46\n0 41\n3 50" }, "output": { "stdout": "41\n18\n11\n9\n29\n22\n46\n29\n50\n" } }, { "input": { "stdin": "1\n5 5\n1 3 2\n2 3 4\n1 1 4\n5 2 1\n1 4 7\n3\n4 20\n5 21\n3 5\n\nSAMPLE" }, "output": { "stdout": "6\n7\n1\n" } }, { "input": { "stdin": "2\n2 2\n1 2 10\n1 2 2\n4\n2 45\n2 55\n2 11\n2 13\n3 6\n1 2 2\n1 3 4\n2 3 10\n2 3 4\n1 2 5\n2 3 6\n5\n3 20\n3 22\n3 46\n2 41\n3 50" }, "output": { "stdout": "41\n51\n7\n9\n12\n14\n38\n37\n42\n" } } ]
{ "tags": [], "title": "mittal-wants-to-go-to-play" }
{ "cpp": null, "java": null, "python": "from collections import defaultdict\nimport sys\ninf = sys.maxint\n\n\n\nclass Graph():\n\n def __init__(self, connections=[], directed=False,weighted=False):\n self.status_dict = defaultdict(lambda : 1)\n self.graph_dict = defaultdict(list)\n self.is_directed = directed\n if weighted:\n self.add_connections(connections)#USE FOR WEIGHTED GRAPH\n\n\n\n def add_connections(self,connections):\n if self.is_directed: \n for source , destination , cost in connections:\n self.graph_dict[source].append((destination,cost))\n self.graph_dict[destination]\n self.status_dict[source]\n self.status_dict[destination]\n \n else:\n for source , destination , cost in connections:\n \n self.graph_dict[source].append((destination,cost))\n self.graph_dict[destination].append((source,cost))\n self.status_dict[source]\n self.status_dict[destination]\n\n def add_vertex(self,node):\n self.graph_dict[node]\n self.status_dict[node]\n\n def pprint(self):\n for key,value in self.graph_dict.iteritems():\n print str(key)+\":\"+str(value)\n\n\nfrom heapq import heapify, heappush, heappop\n\nclass priority_dict(dict):\n \"\"\"Dictionary that can be used as a priority queue.\n\n Keys of the dictionary are items to be put into the queue, and values\n are their respective priorities. All dictionary methods work as expected.\n The advantage over a standard heapq-based priority queue is\n that priorities of items can be efficiently updated (amortized O(1))\n using code as 'thedict[item] = new_priority.'\n\n The 'smallest' method can be used to return the object with lowest\n priority, and 'pop_smallest' also removes it.\n\n The 'sorted_iter' method provides a destructive sorted iterator.\n \"\"\"\n \n def __init__(self, *args, **kwargs):\n super(priority_dict, self).__init__(*args, **kwargs)\n self._rebuild_heap()\n\n def _rebuild_heap(self):\n self._heap = [(v, k) for k, v in self.iteritems()]\n heapify(self._heap)\n\n def smallest(self):\n \"\"\"Return the item with the lowest priority.\n\n Raises IndexError if the object is empty.\n \"\"\"\n \n heap = self._heap\n v, k = heap[0]\n while k not in self or self[k] != v:\n heappop(heap)\n v, k = heap[0]\n return k\n\n def pop_smallest(self):\n \"\"\"Return the item with the lowest priority and remove it.\n\n Raises IndexError if the object is empty.\n \"\"\"\n \n heap = self._heap\n v, k = heappop(heap)\n while k not in self or self[k] != v:\n v, k = heappop(heap)\n del self[k]\n return k\n\n def __setitem__(self, key, val):\n # We are not going to remove the previous value from the heap,\n # since this would have a cost O(n).\n \n super(priority_dict, self).__setitem__(key, val)\n \n if len(self._heap) < 2 * len(self):\n heappush(self._heap, (val, key))\n else:\n # When the heap grows larger than 2 * len(self), we rebuild it\n # from scratch to avoid wasting too much memory.\n self._rebuild_heap()\n\n def setdefault(self, key, val):\n if key not in self:\n self[key] = val\n return val\n return self[key]\n\n def update(self, *args, **kwargs):\n # Reimplementing dict.update is tricky -- see e.g.\n # http://mail.python.org/pipermail/python-ideas/2007-May/000744.html\n # We just rebuild the heap from scratch after passing to super.\n \n super(priority_dict, self).update(*args, **kwargs)\n self._rebuild_heap()\n\n def sorted_iter(self):\n \"\"\"Sorted iterator of the priority dictionary items.\n\n Beware: this will destroy elements as they are returned.\n \"\"\"\n \n while self:\n yield self.pop_smallest()\n\n\n\ndef dijkstra(g,src_node,N):\n Dis = [inf]*(N+1)\n pi = [-1]*(N+1)\n \n p = priority_dict()\n for i in range(1,N+1):\n p[i] = inf\n\n p[1] = 0\n Dis[1] = 0\n\n while p:\n u = p.pop_smallest()\n for nbs in g.graph_dict[u]:\n alt = Dis[u]+ nbs[1]\n if alt < Dis[nbs[0]]:\n Dis[nbs[0]] = alt\n p[nbs[0]] = alt\n pi[nbs[0]] = u\n\n\n return Dis\n \n\n \n\n \n\n \n \n \n\n\n\n\n\n\n\n\n\n\nT = int(raw_input())\nfor k in range(T):\n \n N,M = [int(x) for x in raw_input().split()]\n dicti = defaultdict(lambda :inf)\n \n \n for l in range(M):\n i,j,c = [int(x) for x in raw_input().split()]\n if dicti[(i,j)] > c:\n dicti[(i,j)] = c\n\n connections = []\n for key,value in dicti.iteritems():\n connections.append((key[0],key[1],value))\n\n G = Graph(connections,False,True)\n for i in range(1,N+1):\n G.add_vertex(i)\n \n Dis = dijkstra(G,1,N)\n\n Q = int(raw_input())\n for i in range(Q):\n node , time = [int(x) for x in raw_input().split()]\n cost = 2*Dis[node]\n if cost > time:\n print 0\n else:\n print time - cost" }
HackerEarth/panda-and-combination
Panda loves solving problems which are deemed impossible by his fellow classmates. The current problem which he is working on is to express a number N as sum of powers of number X (Not necessarily distinct) such that the number of powers of number X used should be minimum. Note: The powers of a number can be 0, 1, 2, 3, 4, ... Input Format: The first line will contain T, the number of test cases. Then, T lines follow, each containing 2 space separated integers N and M. Output Format: For each test case, output the minimum number of such numbers (powers of M) which can be summed up to produce N. Constraints: Subtask 1: (20 points) 1 ≤ T ≤ 10^3 1 ≤ N, M ≤ 10^3 Subtask 2: (80 points) 1 ≤ T ≤ 10^5 1 ≤ N, M ≤ 10^14SAMPLE INPUT 3 4 4 5 3 6 1 SAMPLE OUTPUT 1 3 6 Explanation Case 1. 4 can be expressed as 4^1. Case 2. 5 can be expressed as sum of 3^0 + 3^0 + 3^1. Case 3. 6 can be expressed as sum of 1^1 + 1^1 + 1^1 + 1^1 + 1^1 + 1^1.
[ { "input": { "stdin": "3\n4 4\n5 3\n6 1\n\nSAMPLE" }, "output": { "stdout": "1\n3\n6\n" } }, { "input": { "stdin": "3\n7 5\n0 1\n6 1\n\nSAMPKE" }, "output": { "stdout": "3\n0\n6\n" } }, { "input": { "stdin": "3\n2 1\n0 1\n3 1\n\nSAMPKE" }, "output": { "stdout": "2\n0\n3\n" } }, { "input": { "stdin": "3\n7 9\n2 3\n11 1\n\nSAMPKE" }, "output": { "stdout": "7\n2\n11\n" } }, { "input": { "stdin": "3\n4 4\n9 3\n6 1\n\nSAMPLE" }, "output": { "stdout": "1\n1\n6\n" } }, { "input": { "stdin": "3\n4 4\n2 3\n11 1\n\nSAMPLE" }, "output": { "stdout": "1\n2\n11\n" } }, { "input": { "stdin": "3\n4 3\n5 2\n10 1\n\nSAMPLE" }, "output": { "stdout": "2\n2\n10\n" } }, { "input": { "stdin": "3\n4 3\n5 3\n10 1\n\nSAMPLE" }, "output": { "stdout": "2\n3\n10\n" } }, { "input": { "stdin": "3\n1 7\n2 2\n10 1\n\nTAMPLE" }, "output": { "stdout": "1\n1\n10\n" } }, { "input": { "stdin": "3\n1 11\n3 2\n2 1\n\nEMPMAT" }, "output": { "stdout": "1\n2\n2\n" } }, { "input": { "stdin": "3\n7 15\n2 3\n2 4\n\nKAMSPE" }, "output": { "stdout": "7\n2\n2\n" } }, { "input": { "stdin": "3\n8 8\n2 5\n11 4\n\nSAMPKE" }, "output": { "stdout": "1\n2\n5\n" } }, { "input": { "stdin": "3\n15 4\n2 3\n11 1\n\nSAEMLP" }, "output": { "stdout": "6\n2\n11\n" } }, { "input": { "stdin": "3\n8 5\n2 3\n20 1\n\nSAMPKE" }, "output": { "stdout": "4\n2\n20\n" } }, { "input": { "stdin": "3\n11 5\n2 5\n5 1\n\nEKPMAS" }, "output": { "stdout": "3\n2\n5\n" } }, { "input": { "stdin": "3\n7 9\n2 3\n22 7\n\nSAMKPE" }, "output": { "stdout": "7\n2\n4\n" } }, { "input": { "stdin": "3\n11 5\n3 2\n1 1\n\nSAPMKE" }, "output": { "stdout": "3\n2\n1\n" } }, { "input": { "stdin": "3\n1 7\n3 2\n1 1\n\nTAMPLE" }, "output": { "stdout": "1\n2\n1\n" } }, { "input": { "stdin": "3\n3 7\n1 2\n0 1\n\nEMAMPT" }, "output": { "stdout": "3\n1\n0\n" } }, { "input": { "stdin": "3\n8 1\n2 3\n7 1\n\nASMPKE" }, "output": { "stdout": "8\n2\n7\n" } }, { "input": { "stdin": "3\n12 1\n2 2\n11 1\n\nASMPKE" }, "output": { "stdout": "12\n1\n11\n" } }, { "input": { "stdin": "3\n8 4\n2 3\n18 1\n\nASMPKE" }, "output": { "stdout": "2\n2\n18\n" } }, { "input": { "stdin": "3\n1 7\n2 2\n2 1\n\nEMPMAT" }, "output": { "stdout": "1\n1\n2\n" } }, { "input": { "stdin": "3\n8 4\n2 3\n0 1\n\nASMPKE" }, "output": { "stdout": "2\n2\n0\n" } }, { "input": { "stdin": "3\n8 4\n2 2\n11 1\n\nSAMPLE" }, "output": { "stdout": "2\n1\n11\n" } }, { "input": { "stdin": "3\n7 15\n1 3\n11 4\n\nSAMKPE" }, "output": { "stdout": "7\n1\n5\n" } }, { "input": { "stdin": "3\n5 4\n4 5\n11 1\n\nSAMELP" }, "output": { "stdout": "2\n4\n11\n" } }, { "input": { "stdin": "3\n11 5\n2 3\n11 1\n\nSAMPKE" }, "output": { "stdout": "3\n2\n11\n" } }, { "input": { "stdin": "3\n7 5\n3 1\n6 1\n\nSAMPKE" }, "output": { "stdout": "3\n3\n6\n" } }, { "input": { "stdin": "3\n7 1\n0 1\n8 1\n\nSAMPKE" }, "output": { "stdout": "7\n0\n8\n" } }, { "input": { "stdin": "3\n19 5\n2 5\n6 1\n\nSAMPKE" }, "output": { "stdout": "7\n2\n6\n" } }, { "input": { "stdin": "3\n4 4\n4 5\n11 1\n\nSAMELP" }, "output": { "stdout": "1\n4\n11\n" } }, { "input": { "stdin": "3\n8 1\n2 3\n5 1\n\nASMPKE" }, "output": { "stdout": "8\n2\n5\n" } }, { "input": { "stdin": "3\n4 4\n2 3\n6 1\n\nSAMPLE" }, "output": { "stdout": "1\n2\n6\n" } }, { "input": { "stdin": "3\n2 5\n2 3\n6 1\n\nSAMPKE" }, "output": { "stdout": "2\n2\n6\n" } }, { "input": { "stdin": "3\n7 1\n-1 1\n6 1\n\nSAEPKM" }, "output": { "stdout": "7\n-1\n6\n" } }, { "input": { "stdin": "3\n2 15\n1 2\n0 1\n\nEMPMAT" }, "output": { "stdout": "2\n1\n0\n" } }, { "input": { "stdin": "3\n1 15\n1 1\n-1 1\n\nEMPMAT" }, "output": { "stdout": "1\n1\n-1\n" } }, { "input": { "stdin": "3\n4 2\n4 6\n12 1\n\nSAMELP" }, "output": { "stdout": "1\n4\n12\n" } }, { "input": { "stdin": "3\n7 1\n0 1\n6 1\n\nSAMPKE" }, "output": { "stdout": "7\n0\n6\n" } }, { "input": { "stdin": "3\n7 5\n5 1\n6 1\n\nSAMPKE" }, "output": { "stdout": "3\n5\n6\n" } }, { "input": { "stdin": "3\n2 15\n1 2\n1 1\n\nEMPMAT" }, "output": { "stdout": "2\n1\n1\n" } }, { "input": { "stdin": "3\n13 1\n2 5\n11 1\n\nASMPKE" }, "output": { "stdout": "13\n2\n11\n" } }, { "input": { "stdin": "3\n7 5\n3 3\n10 1\n\nSAMPKE" }, "output": { "stdout": "3\n1\n10\n" } }, { "input": { "stdin": "3\n15 6\n2 3\n11 1\n\nSAEMLP" }, "output": { "stdout": "5\n2\n11\n" } }, { "input": { "stdin": "3\n7 5\n4 1\n6 1\n\nSAMPKE" }, "output": { "stdout": "3\n4\n6\n" } }, { "input": { "stdin": "3\n4 3\n5 7\n10 1\n\nSAEPLM" }, "output": { "stdout": "2\n5\n10\n" } }, { "input": { "stdin": "3\n2 15\n1 2\n2 1\n\nEMPMAT" }, "output": { "stdout": "2\n1\n2\n" } }, { "input": { "stdin": "3\n4 4\n9 3\n7 1\n\nSAMPLE" }, "output": { "stdout": "1\n1\n7\n" } }, { "input": { "stdin": "3\n7 5\n2 3\n11 2\n\nSAMPKE" }, "output": { "stdout": "3\n2\n3\n" } } ]
{ "tags": [], "title": "panda-and-combination" }
{ "cpp": null, "java": null, "python": "def power(a,n):\n\tr =1\n\tv=a\n\tp=n\n\twhile p >0:\n\t\tif p&1:\n\t\t\tr =r*v \n\t\t\tr= r\n\t\tv = v * v\n\t\tv=v\n\t\tp = p/2\n\treturn r\nt=input()\nwhile t:\n\tt-=1\n\ta,b=map(int,raw_input().split())\n\tnew=[]\n\ti=0\n\tif b>1:\n\t\twhile b**i<=a:\n\t\t\tm=power(b,i)\n\t\t\tnew.append(m)\n\t\t\ti+=1\n\t\tnew.reverse()\n\t\tchk=a\n\t\tc=0\n\t\tfor x in new:\n\t\t\tc+=chk/x\n\t\t\tchk=chk%x\n\t\tprint c\n\telse: print a" }
HackerEarth/rod-cutting-problem-7
A young mischievous boy Harsh, got into a trouble when his mechanical workshop teacher told him to cut Iron rods. The rod cutting algorithm is as follows: Step 1. If the rod can be divided into two equal parts, cut it and choose any one of them. Step 2. Else cut the rod into two parts having non-zero integral lengths such that the difference between the lengths of the two pieces is minimized, and then choose the piece having smaller length. Step 3. Repeat the above algorithm with the currently chosen piece. If the length of the currently chosen piece becomes 1 , stop the algorithm. There can be special rods which require Step 2 in every step of its cutting. Harsh want to find out the number of such special rods. Help Harsh to find out the answer. Input: The first line of the input will contain T, the number of test-cases. Each subsequent T lines will contain an integer N, where N is the range of lengths of rods from 1 to N . Output: For each test-case print the required answer. Constraints: 1 ≤ T ≤ 1000 1 ≤ N ≤ 10^9 SAMPLE INPUT 2 3 2 SAMPLE OUTPUT 1 0 Explanation In the first case there is only 1 such special iron rod,( which is of length 3 ). A rod of length 3 cannot be divided into two equal parts, so we follow Step 2 and divide the rod into 2 and 1 length rod. ( See that the difference between the two rods obtained is minimum among all the possible choices). After that choose the rod having smaller length. Since the length of the currently rod is 1 , the algorithm stops. So we see that during the each step of cutting (although, there is only 1 step involved in cutting ) we have to do mental calculations using Step 2. There is no such rod , other than this in the range 1 and 3. So the answer is 1. In the second case there is no such rod between 1 and 2 , so the answer is 0.
[ { "input": { "stdin": "2\n3\n2\n\nSAMPLE" }, "output": { "stdout": "1\n0\n" } }, { "input": { "stdin": "10\n977\n543\n252\n979\n348\n889\n876\n55\n938\n610" }, "output": { "stdout": "8\n8\n6\n8\n7\n8\n8\n4\n8\n8\n" } }, { "input": { "stdin": 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} } ]
{ "tags": [], "title": "rod-cutting-problem-7" }
{ "cpp": null, "java": null, "python": "def count_special(N):\n\tcount = 0\n\tprev = 0\n\tcurr = 3\n\twhile(curr <= N):\n\t\tprev = curr\n\t\tcurr = 2*prev + 1\n\t\tcount += 1\n\treturn count\n\nT = int(raw_input())\nfor t in xrange(T):\n\tN = int(raw_input())\n\tcount = count_special(N)\n\tprint count" }
HackerEarth/steal-the-show
It’s the company's 3^rd anniversary, and everyone is super-excited about it. There is a tradition in the company, that the interns decide the seating arrangement of all the members. The requirements of this order are: The CEO of the company must sit in the middle. (In case of even number of team members, he can sit on either central position.) The CTO and the COO must sit on the ends of the row. The sum of the absolute height difference of adjacent members should be minimum. Bhargav wants to steal the show by coming up with the minimum sum of absolute height difference of the heights of all the members while satisfying first 2 conditions. Since he is a product management intern, he does not know anything about computer programs. Please help him before a software engineer intern solves this. Input Format: ceo_height coo_height cto_height total number of team members (excluding above three) height_array (excluding above three) Output Format: Minimum sum of absolute height difference Constraints: 1 ≤ number of team members ≤ 20 1 ≤ heights ≤ 100 SAMPLE INPUT 13 17 11 2 12 10 SAMPLE OUTPUT 10 Explanation Optimal order: 11 10 13 12 17 -> 1+3+1+5 = 10
[ { "input": { "stdin": "13 17 11\n2\n12 10\n\nSAMPLE" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "80 82 81\n3\n50 90 65" }, "output": { "stdout": "79\n" } }, { "input": { "stdin": "13 9 2\n2\n12 3\n\nMASPME" }, "output": { "stdout": "15\n" } }, { "input": { "stdin": "117 80 49\n3\n39 90 36" }, "output": { "stdout": "131\n" } }, { "input": { "stdin": "117 82 108\n3\n33 90 65" }, "output": { "stdout": "178\n" } }, { "input": { "stdin": "117 82 479\n3\n81 90 65" }, "output": { "stdout": "485\n" } }, { "input": { "stdin": "117 82 264\n3\n81 90 30" }, "output": { "stdout": "340\n" } }, { "input": { "stdin": "13 9 11\n2\n12 3\n\nSAMPME" }, "output": { "stdout": "18\n" } }, { "input": { "stdin": "80 82 81\n3\n32 90 65" }, "output": { "stdout": "115\n" } }, { "input": { "stdin": "130 82 108\n3\n50 90 65" }, "output": { "stdout": "170\n" } }, { "input": { "stdin": "16 17 3\n2\n19 2\n\nELPMAS" }, "output": { "stdout": "20\n" } }, { "input": { "stdin": "12 12 7\n2\n7 0\n\nELPMAS" }, "output": { "stdout": "29\n" } }, { "input": { "stdin": "5 10 1\n2\n4 -2\n\nELPLAS" }, "output": { "stdout": "17\n" } }, { "input": { "stdin": "117 82 188\n3\n81 53 65" }, "output": { "stdout": "236\n" } }, { "input": { "stdin": "13 26 17\n2\n36 2\n\nSAMPLE" }, "output": { "stdout": "59\n" } }, { "input": { "stdin": "131 82 261\n3\n21 90 65" }, "output": { "stdout": "383\n" } }, { "input": { "stdin": "13 17 11\n2\n12 15\n\nSAMPLE" }, "output": { "stdout": "6\n" } }, { "input": { "stdin": "80 82 237\n3\n50 90 1" }, "output": { "stdout": "317\n" } }, { "input": { "stdin": "131 82 261\n3\n49 90 65" }, "output": { "stdout": "327\n" } }, { "input": { "stdin": "12 27 10\n2\n-1 0\n\nELPMAS" }, "output": { "stdout": "63\n" } }, { "input": { "stdin": "11 40 10\n2\n0 0\n\nELPMAS" }, "output": { "stdout": "72\n" } }, { "input": { "stdin": "131 82 261\n3\n81 90 65" }, "output": { "stdout": "295\n" } }, { "input": { "stdin": "13 26 17\n2\n19 2\n\nSAMPLE" }, "output": { "stdout": "39\n" } }, { "input": { "stdin": "6 45 18\n2\n0 0\n\nEMPLAS" }, "output": { "stdout": "75\n" } }, { "input": { "stdin": "117 82 310\n3\n81 90 30" }, "output": { "stdout": "386\n" } }, { "input": { "stdin": "19 10 1\n2\n7 0\n\nELPMAS" }, "output": { "stdout": "35\n" } }, { "input": { "stdin": "80 82 108\n3\n36 95 65" }, "output": { "stdout": "118\n" } }, { "input": { "stdin": "117 82 118\n3\n50 90 65" }, "output": { "stdout": "154\n" } }, { "input": { "stdin": "133 82 200\n3\n81 43 65" }, "output": { "stdout": "300\n" } }, { "input": { "stdin": "12 17 10\n2\n7 0\n\nSAMPLE" }, "output": { "stdout": "37\n" } }, { "input": { "stdin": "13 1 11\n2\n23 19\n\nSAMPLE" }, "output": { "stdout": "46\n" } }, { "input": { "stdin": "80 112 81\n3\n50 90 65" }, "output": { "stdout": "93\n" } }, { "input": { "stdin": "80 82 108\n3\n50 90 65" }, "output": { "stdout": "90\n" } }, { "input": { "stdin": "117 136 49\n3\n23 90 36" }, "output": { "stdout": "193\n" } }, { "input": { "stdin": "117 80 49\n3\n23 90 36" }, "output": { "stdout": "157\n" } }, { "input": { "stdin": "13 17 11\n2\n12 10\n\nEAMPLS" }, "output": { "stdout": "10\n" } }, { "input": { "stdin": "13 17 11\n2\n12 3\n\nSAMPME" }, "output": { "stdout": "24\n" } }, { "input": { "stdin": "12 27 10\n2\n0 0\n\nELPMAS" }, "output": { "stdout": "61\n" } }, { "input": { "stdin": "117 82 200\n3\n81 90 65" }, "output": { "stdout": "206\n" } }, { "input": { "stdin": "24 17 19\n2\n26 7\n\nSAMPLE" }, "output": { "stdout": "36\n" } }, { "input": { "stdin": "110 82 199\n3\n81 90 65" }, "output": { "stdout": "191\n" } }, { "input": { "stdin": "117 82 349\n3\n81 13 65" }, "output": { "stdout": "477\n" } }, { "input": { "stdin": "117 82 108\n3\n50 90 65" }, "output": { "stdout": "144\n" } }, { "input": { "stdin": "117 82 310\n3\n81 90 47" }, "output": { "stdout": "352\n" } }, { "input": { "stdin": "80 86 55\n3\n32 90 65" }, "output": { "stdout": "85\n" } }, { "input": { "stdin": "117 82 49\n3\n19 90 36" }, "output": { "stdout": "163\n" } }, { "input": { "stdin": "117 82 287\n3\n81 53 65" }, "output": { "stdout": "335\n" } }, { "input": { "stdin": "117 82 287\n3\n81 13 65" }, "output": { "stdout": "415\n" } }, { "input": { "stdin": "19 10 1\n2\n2 -2\n\nELPLAS" }, "output": { "stdout": "49\n" } }, { "input": { "stdin": "117 82 108\n3\n81 90 65" }, "output": { "stdout": "114\n" } } ]
{ "tags": [], "title": "steal-the-show" }
{ "cpp": null, "java": null, "python": "#mod = 10**9 + 7\n#test = int(raw_input())\n#for i in range(test):\nceo , coo , cto = [int(x) for x in raw_input().split()]\nn = int( raw_input() )\narr = [int(x) for x in raw_input().split()]\narr.sort(reverse = True)\nres = [0 for i in range(n+3)]\nl = len(res)\nres[0] = min( coo , cto )\nres[l-1] = max( coo , cto )\nres[l/2] = ceo\nfor i in range(l):\n\tif res[i] == 0:\n\t\tres[i] = arr[-1]\n\t\tarr.pop()\nans = 0\nfor i in range(1 , l):\n\tans += abs( res[i] - res[i-1])\nprint ans" }