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3 values
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226k
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> P; #define p_ary(ary, a, b, i) \ do { \ cout << "["; \ for (int(i) = (a); (i) < (b); ++(i)) \ cout << ary[(i)] << ((b)-1 == (i) ? "" : ", "); \ cout << "]\n"; \ } while (0) #define p_map(map, it) \ do { \ cout << "{"; \ for (auto(it) = map.begin();; ++(it)) { \ if ((it) == map.end()) { \ cout << "}\n"; \ break; \ } else \ cout << "" << (it)->first << "=>" << (it)->second << ", "; \ } \ } while (0) double dp[300][300][300]; double rec(int n, int a, int b, int c) { if (dp[a][b][c] > -0.5) return dp[a][b][c]; dp[a][b][c] = n; if (a) dp[a][b][c] += rec(n, a - 1, b, c) * a; if (b) dp[a][b][c] += rec(n, a + 1, b - 1, c) * b; if (c) dp[a][b][c] += rec(n, a, b + 1, c - 1) * c; dp[a][b][c] /= a + b + c; return dp[a][b][c]; } int main() { int n, a[3] = {0, 0, 0}; cin >> n; for (int i = 0; i < n + 1; ++i) for (int j = 0; j < n + 1; ++j) for (int k = 0; k < n + 1; ++k) dp[i][j][k] = -1; dp[0][0][0] = 0; for (int i = 0; i < n; ++i) { int b; cin >> b; a[b - 1]++; } cout << fixed << setprecision(12) << rec(n, a[0], a[1], a[2]) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> P; #define p_ary(ary, a, b, i) \ do { \ cout << "["; \ for (int(i) = (a); (i) < (b); ++(i)) \ cout << ary[(i)] << ((b)-1 == (i) ? "" : ", "); \ cout << "]\n"; \ } while (0) #define p_map(map, it) \ do { \ cout << "{"; \ for (auto(it) = map.begin();; ++(it)) { \ if ((it) == map.end()) { \ cout << "}\n"; \ break; \ } else \ cout << "" << (it)->first << "=>" << (it)->second << ", "; \ } \ } while (0) double dp[310][310][310]; double rec(int n, int a, int b, int c) { if (dp[a][b][c] > -0.5) return dp[a][b][c]; dp[a][b][c] = n; if (a) dp[a][b][c] += rec(n, a - 1, b, c) * a; if (b) dp[a][b][c] += rec(n, a + 1, b - 1, c) * b; if (c) dp[a][b][c] += rec(n, a, b + 1, c - 1) * c; dp[a][b][c] /= a + b + c; return dp[a][b][c]; } int main() { int n, a[3] = {0, 0, 0}; cin >> n; for (int i = 0; i < n + 1; ++i) for (int j = 0; j < n + 1; ++j) for (int k = 0; k < n + 1; ++k) dp[i][j][k] = -1; dp[0][0][0] = 0; for (int i = 0; i < n; ++i) { int b; cin >> b; a[b - 1]++; } cout << fixed << setprecision(12) << rec(n, a[0], a[1], a[2]) << endl; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define FOR(i, a, b) for (int i = (a); i < (b); ++i) #define rep(i, n) FOR(i, 0, n) #define pb emplace_back typedef long long ll; typedef pair<int, int> pint; double dp[301][301][301]; int a[4]; int main() { int n, ai; cin >> n; rep(i, n) { cin >> ai; ++a[ai - 1]; } rep(i, n + 1) rep(j, n + 1) rep(k, n + 1) { int c = i + j + k; if (c == 0) continue; if (k != 0) dp[k][j][i] += dp[k - 1][j][i] * k; if (j != 0) dp[k][j][i] += dp[k + 1][j - 1][i] * j; if (i != 0) dp[k][j][i] += dp[k][j + 1][i - 1] * i; dp[k][j][i] += n; dp[k][j][i] /= c; } cout << setprecision(10) << fixed << dp[a[0]][a[1]][a[2]] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define FOR(i, a, b) for (int i = (a); i < (b); ++i) #define rep(i, n) FOR(i, 0, n) #define pb emplace_back typedef long long ll; typedef pair<int, int> pint; double dp[304][304][304]; int a[4]; int main() { int n, ai; cin >> n; rep(i, n) { cin >> ai; ++a[ai - 1]; } rep(i, n + 1) rep(j, n + 1) rep(k, n + 1) { int c = i + j + k; if (c == 0) continue; if (k != 0) dp[k][j][i] += dp[k - 1][j][i] * k; if (j != 0) dp[k][j][i] += dp[k + 1][j - 1][i] * j; if (i != 0) dp[k][j][i] += dp[k][j + 1][i - 1] * i; dp[k][j][i] += n; dp[k][j][i] /= c; } cout << setprecision(10) << fixed << dp[a[0]][a[1]][a[2]] << endl; return 0; }
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-11
p03169
C++
Runtime Error
#include <algorithm> #include <cassert> #include <cmath> #include <cstring> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <queue> #include <set> #include <string> #include <unordered_map> #include <vector> using namespace std; typedef long long LL; const int MAX = 210000; const LL base = 1e9 + 7; struct Node { int x, y, w; }; double dp[301][301][301]; int za[301]; int zt[4]; void solve() { double result = 0; int n; cin >> n; for (int i = 0; i < n; ++i) { cin >> za[i]; zt[za[i]]++; } dp[0][0][0] = 0; for (int k = 0; k <= zt[3]; ++k) { for (int j = 0; j <= zt[2] + zt[3]; ++j) { for (int i = 0; i <= n; ++i) { int cc = i + j + k; if (cc == 0) continue; double tt = 0; if (i > 0) { tt += double(i) / n * dp[i - 1][j][k]; } if (j > 0) { tt += double(j) / n * dp[i + 1][j - 1][k]; } if (k > 0) { tt += double(k) / n * dp[i][j + 1][k - 1]; } dp[i][j][k] = (1 + tt) * n / cc; } } } result = dp[zt[1]][zt[2]][zt[3]]; cout << setprecision(12) << result << endl; } int main() { const int inId = 0; const int outId = 0; if (inId > 0) { cerr << "redirect stdin to input " << inId << endl; string s = "input"; s += to_string(inId); s += ".txt"; auto r = freopen(s.c_str(), "r", stdin); if (r == nullptr) { cerr << "invalid input file " << s; } } if (outId > 0) { cerr << "redirect stdout to stdout " << outId << endl; string s = "stdout"; s += to_string(outId); s += ".txt"; auto r = freopen(s.c_str(), "w", stdout); if (r == nullptr) { cerr << "invalid output file " << s; } } ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); // close sync between cout and printf cout.precision(10); solve(); }
#include <algorithm> #include <cassert> #include <cmath> #include <cstring> #include <deque> #include <functional> #include <iomanip> #include <iostream> #include <queue> #include <set> #include <string> #include <unordered_map> #include <vector> using namespace std; typedef long long LL; const int MAX = 210000; const LL base = 1e9 + 7; struct Node { int x, y, w; }; double dp[301][301][301]; int za[301]; int zt[4]; void solve() { double result = 0; int n; cin >> n; for (int i = 0; i < n; ++i) { cin >> za[i]; zt[za[i]]++; } dp[0][0][0] = 0; for (int k = 0; k <= zt[3]; ++k) { for (int j = 0; j <= zt[2] + zt[3]; ++j) { for (int i = 0; i <= n; ++i) { int cc = i + j + k; if (cc == 0) continue; if (cc > n) continue; double tt = 0; if (i > 0) { tt += double(i) / n * dp[i - 1][j][k]; } if (j > 0) { tt += double(j) / n * dp[i + 1][j - 1][k]; } if (k > 0) { tt += double(k) / n * dp[i][j + 1][k - 1]; } dp[i][j][k] = (1 + tt) * n / cc; } } } result = dp[zt[1]][zt[2]][zt[3]]; cout << setprecision(12) << result << endl; } int main() { const int inId = 0; const int outId = 0; if (inId > 0) { cerr << "redirect stdin to input " << inId << endl; string s = "input"; s += to_string(inId); s += ".txt"; auto r = freopen(s.c_str(), "r", stdin); if (r == nullptr) { cerr << "invalid input file " << s; } } if (outId > 0) { cerr << "redirect stdout to stdout " << outId << endl; string s = "stdout"; s += to_string(outId); s += ".txt"; auto r = freopen(s.c_str(), "w", stdout); if (r == nullptr) { cerr << "invalid output file " << s; } } ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); // close sync between cout and printf cout.precision(10); solve(); }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long int lli; typedef long double ld; int n; ld dp[31][31][31]; ld func(int a, int b, int c) { int i, j, l; if (a == 0 && b == 0 && c == 0) return 0; if (dp[a][b][c] != -1) return dp[a][b][c]; ld x, y, z; j = a + b + c; x = (ld)n / (ld)j; y = 0.0; if (j == 0) return 0; if (a > 0) y = y + a * func(a - 1, b, c); if (b > 0) y = y + b * func(a + 1, b - 1, c); if (c > 0) y = y + c * func(a, b + 1, c - 1); y = (ld)y / (ld)j; x = x + y; return dp[a][b][c] = x; } int main() { cin >> n; int i, j, l; int a = 0, b = 0, c = 0; // memset(dp,-1.0,sizeof(dp)); for (i = 0; i <= n; i++) for (j = 0; j <= n; j++) for (l = 0; l <= n; l++) dp[i][j][l] = -1; for (i = 0; i < n; i++) { cin >> j; if (j == 1) a++; else if (j == 2) b++; else c++; } ld ans = func(a, b, c); cout << fixed << setprecision(20) << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long int lli; typedef long double ld; int n; ld dp[301][301][301]; ld func(int a, int b, int c) { int i, j, l; if (a == 0 && b == 0 && c == 0) return 0; if (dp[a][b][c] != -1) return dp[a][b][c]; ld x, y, z; j = a + b + c; x = (ld)n / (ld)j; y = 0.0; if (j == 0) return 0; if (a > 0) y = y + a * func(a - 1, b, c); if (b > 0) y = y + b * func(a + 1, b - 1, c); if (c > 0) y = y + c * func(a, b + 1, c - 1); y = (ld)y / (ld)j; x = x + y; return dp[a][b][c] = x; } int main() { cin >> n; int i, j, l; int a = 0, b = 0, c = 0; // memset(dp,-1.0,sizeof(dp)); for (i = 0; i <= n; i++) for (j = 0; j <= n; j++) for (l = 0; l <= n; l++) dp[i][j][l] = -1; for (i = 0; i < n; i++) { cin >> j; if (j == 1) a++; else if (j == 2) b++; else c++; } ld ans = func(a, b, c); cout << fixed << setprecision(20) << ans << endl; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; ld v[301][301][301] = {0.0}; int main() { int n; cin >> n; v[0][0][0] = 0; for (int z = 0; z <= n; z++) { for (int y = 0; y <= n; y++) { for (int x = 0; x <= n; x++) { if ((x + y + z) != 0) { v[x][y][z] = (ld)n / (x + y + z); } if (x != 0) { v[x][y][z] += x * v[x - 1][y][z] / (x + y + z); } if (y != 0) { v[x][y][z] += y * v[x + 1][y - 1][z] / (x + y + z); } if (z != 0) { v[x][y][z] += z * v[x][y + 1][z - 1] / (x + y + z); } } } } int a[4] = {0}; int x; for (int i = 0; i < n; i++) { cin >> x; a[x]++; } cout << fixed << setprecision(10) << v[a[1]][a[2]][a[3]] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; ld v[303][303][303] = {0.0}; int main() { int n; cin >> n; v[0][0][0] = 0; for (int z = 0; z <= n; z++) { for (int y = 0; y <= n; y++) { for (int x = 0; x <= n; x++) { if ((x + y + z) != 0) { v[x][y][z] = (ld)n / (x + y + z); } if (x != 0) { v[x][y][z] += x * v[x - 1][y][z] / (x + y + z); } if (y != 0) { v[x][y][z] += y * v[x + 1][y - 1][z] / (x + y + z); } if (z != 0) { v[x][y][z] += z * v[x][y + 1][z - 1] / (x + y + z); } } } } int a[4] = {0}; int x; for (int i = 0; i < n; i++) { cin >> x; a[x]++; } cout << fixed << setprecision(10) << v[a[1]][a[2]][a[3]] << endl; return 0; }
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-11
p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #include <functional> #define ff first #define endl "\n" #define ss second #define li list<int> #define vi vector<int> #define ll long long int #define pii pair<int, int> #define vii vector<pair<int, int>> #define mp make_pair #define pb push_back #define setbits(x) __builtin_popcountll(x) #define custom pair<int, pair<int, int>> using namespace std; using namespace __gnu_pbds; typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds; #define mod 1000000007 double dp[301][301][301]; double solve(int x, int y, int z, int n) { if (x < 0 || y < 0 || z < 0) { return 0; } if (x == 0 && y == 0 && z == 0) return 0; double exp = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = exp / (x + y + z); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; int one = 0; int two = 0; int three = 0; int ex; for (int i = 0; i < n; i++) { cin >> ex; if (ex == 1) { one++; } else if (ex == 2) { two++; } else { three++; } } memset(dp, -1, sizeof dp); cout << fixed << setprecision(9) << solve(one, two, three, n); return 0; }
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #include <functional> #define ff first #define endl "\n" #define ss second #define li list<int> #define vi vector<int> #define ll long long int #define pii pair<int, int> #define vii vector<pair<int, int>> #define mp make_pair #define pb push_back #define setbits(x) __builtin_popcountll(x) #define custom pair<int, pair<int, int>> using namespace std; using namespace __gnu_pbds; typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds; #define mod 1000000007 double dp[301][301][301]; double solve(int x, int y, int z, int n) { if (x < 0 || y < 0 || z < 0) { return 0; } if (x == 0 && y == 0 && z == 0) return 0; if (dp[x][y][z] > -0.5) { return dp[x][y][z]; } double exp = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = exp / (x + y + z); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; int one = 0; int two = 0; int three = 0; int ex; for (int i = 0; i < n; i++) { cin >> ex; if (ex == 1) { one++; } else if (ex == 2) { two++; } else { three++; } } memset(dp, -1, sizeof dp); cout << fixed << setprecision(9) << solve(one, two, three, n); return 0; }
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TLE
p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> #include <iostream> using namespace std; #define int long long double dp[301][301][301]; double solve(int x, int y, int z, int &n) { if (x < 0 || y < 0 || z < 0) { return 0; } if (x == 0 && y == 0 && z == 0) { return 0; } double exp = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = exp / (x + y + z); } int32_t main() { int n, x; cin >> n; memset(dp, -1, sizeof dp); int one = 0, two = 0, three = 0; for (int i = 1; i <= n; i++) { cin >> x; if (x == 1) { one++; } else if (x == 2) { two++; } else three++; } cout << fixed << setprecision(9) << solve(one, two, three, n); }
#include <bits/stdc++.h> #include <iostream> using namespace std; #define int long long double dp[301][301][301]; double solve(int x, int y, int z, int &n) { if (x < 0 || y < 0 || z < 0) { return 0; } if (x == 0 && y == 0 && z == 0) { return 0; } if (dp[x][y][z] > -0.9) { return dp[x][y][z]; } double exp = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = exp / (x + y + z); } int32_t main() { int n, x; cin >> n; memset(dp, -1, sizeof dp); int one = 0, two = 0, three = 0; for (int i = 1; i <= n; i++) { cin >> x; if (x == 1) { one++; } else if (x == 2) { two++; } else three++; } cout << fixed << setprecision(9) << solve(one, two, three, n); }
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TLE
p03169
C++
Runtime Error
#ifndef BZ #pragma GCC optimize "-Ofast" #endif #include <bits/stdc++.h> #define FASTIO #define ALL(v) (v).begin(), (v).end() #define rep(i, l, r) for (int i = (l); i < (r); ++i) #ifdef FASTIO #define scanf abacaba #define printf abacaba #endif typedef long long ll; typedef double ld; typedef unsigned long long ull; using namespace std; const int MX = 307; ld f[MX + 5][MX + 5][MX + 5]; int main() { #ifdef FASTIO ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); #endif int n; int c[4] = {0}; cin >> n; for (int i = 1; i <= n; i++) { int x; cin >> x; c[x]++; } for (int k = 0; k < MX; k++) { for (int j = 0; j + k < MX; j++) { for (int i = 0; i + j + k < MX; i++) { if (i == 0 && j == 0 && k == 0) { continue; } if (i + j + k > MX) { continue; } ld wait = 1.0 * n / (i + j + k); ld pi = 1.0 * i / (i + j + k); ld pj = 1.0 * j / (i + j + k); ld pk = 1.0 * k / (i + j + k); f[i][j][k] = wait + pk * f[i][j + 1][k - 1] + pj * f[i + 1][j - 1][k] + pi * f[i - 1][j][k]; } } } cout.precision(10); cout << fixed << f[c[1]][c[2]][c[3]] << "\n"; return 0; }
#ifndef BZ #pragma GCC optimize "-Ofast" #endif #include <bits/stdc++.h> #define FASTIO #define ALL(v) (v).begin(), (v).end() #define rep(i, l, r) for (int i = (l); i < (r); ++i) #ifdef FASTIO #define scanf abacaba #define printf abacaba #endif typedef long long ll; typedef double ld; typedef unsigned long long ull; using namespace std; const int MX = 307; ld f[MX + 5][MX + 5][MX + 5]; int main() { #ifdef FASTIO ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); #endif int n; int c[4] = {0}; cin >> n; for (int i = 1; i <= n; i++) { int x; cin >> x; c[x]++; } for (int k = 0; k < MX; k++) { for (int j = 0; j + k < MX; j++) { for (int i = 0; i + j + k < MX; i++) { if (i == 0 && j == 0 && k == 0) { continue; } if (i + j + k > MX) { continue; } ld wait = 1.0 * n / (i + j + k); ld pi = 1.0 * i / (i + j + k); ld pj = 1.0 * j / (i + j + k); ld pk = 1.0 * k / (i + j + k); if (i) f[i][j][k] += pi * f[i - 1][j][k]; if (j) f[i][j][k] += pj * f[i + 1][j - 1][k]; if (k) f[i][j][k] += pk * f[i][j + 1][k - 1]; f[i][j][k] += wait; } } } cout.precision(10); cout << fixed << f[c[1]][c[2]][c[3]] << "\n"; return 0; }
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p03169
C++
Runtime Error
/*****/ #define TRUE true /**/ #pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") /**/ #include <bits/stdc++.h> // #define int long long using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pint = pair<int, int>; using pll = pair<long long, long long>; template <class T> using vec = vector<T>; template <class T> using grapth = vec<vec<T>>; #define rep(i, n) for (ll i = 0, i##_len = (n); i < i##_len; ++i) #define rep1(i, n) for (ll i = 1, i##_len = (n); i <= i##_len; ++i) #define rrep(i, n) for (ll i = (n)-1; i >= 0; --i) #define rrep1(i, n) for (ll i = (n); i > 0; --i) #define step(i, a, n) for (ll i = (a), i##_len = (a) + (n); i < i##_len; ++i) #define rstep(i, a, n) \ for (ll i = (a) + (n)-1, i##_len = (a); i >= i##_len; --i) #define range(i, a, b) for (ll i = (a), i##_len = (b); i < i##_len; ++i) #define rrange(i, a, b) for (ll i = (b)-1, i##_len = (a); i >= i##_len; --i) constexpr int INF = numeric_limits<int>::max(); constexpr ll INFL = numeric_limits<ll>::max(); std::string strMulti(const char c, const int n) { std::string out = ""; for (int i = 0; i < n; i++) { out += c; } return out; } std::string strMulti(const std::string t, const int n) { std::string out = ""; for (int i = 0; i < n; i++) { out += t; } return out; } std::string tab(const int n) { return strMulti('\t', n); } std::string join(const vector<string> &v, const char *delim = 0) { std::string s; if (!v.empty()) { s += v[0]; for (decltype(v.size()) i = 1, c = v.size(); i < c; ++i) { if (delim) s += delim; s += v[i]; } } return s; } string to_string(string s) { return '"' + s + '"'; } string to_string(char c) { return string({'\'', c, '\''}); } template <size_t N> string to_string(bitset<N> bs) { return bs.to_string(); } template <class T1, class T2> string to_string(pair<T1, T2> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <class Tuple, size_t... I> string _to_string_tuple(Tuple &&t, std::index_sequence<I...>) { vector<string> texts = {to_string(std::get<I>(t))...}; return "(" + join(texts, ", ") + ")"; } template <class... Args> string to_string(tuple<Args...> t) { using Tuple = tuple<Args...>; return _to_string_tuple( std::forward<Tuple>(t), std::make_index_sequence<std::tuple_size<std::decay_t<Tuple>>::value>{}); } template <class T> string to_string(vector<T> ar) { vector<string> texts(ar.size()); for (size_t i = 0; i < ar.size(); ++i) { texts[i] = to_string(ar[i]); } return "{" + join(texts, ", ") + "}"; } template <class T> string to_string(initializer_list<T> il) { vector<string> texts(il.size()); size_t i = 0; for (T v : il) { texts[i] = to_string(v); i++; } return "{" + join(texts, ", ") + "}"; } #ifdef DEBUG_BUILD #define debugvar(x) debugln(#x, (x)) #define debugvartab(x, t) debugln(tab(t) + #x, (x)) void debug(string name) { std::cerr << name; } void debugln(string name) { std::cerr << name << '\n'; } template <class T> void debug(string name, T v) { std::cerr << name << " = " << to_string(v); } template <class T> void debugln(string name, T v) { std::cerr << name << " = " << to_string(v) << '\n'; } template <class T> void debug(string name, initializer_list<T> il) { std::cerr << name << " = " << to_string(il); } template <class T> void debugln(string name, initializer_list<T> il) { std::cerr << name << " = " << to_string(il) << '\n'; } template <class... Args> void debug(string name, Args... args) { std::cerr << name << " = " << to_string(tuple<Args...>(args...)); } template <class... Args> void debugln(string name, Args... args) { std::cerr << name << " = " << to_string(tuple<Args...>(args...)) << '\n'; } #else #define debugvar(x) #define debugvartab(x, t) void debug(string name) {} void debugln(string name) {} template <class T> void debug(string name, T v) {} template <class T> void debugln(string name, T v) {} template <class T> void debug(string name, initializer_list<T> il) {} template <class T> void debugln(string name, initializer_list<T> il) {} template <class... Args> void debug(string name, Args... args) {} template <class... Args> void debugln(string name, Args... args) {} #endif #define all(x) (x).begin(), (x).end() #define pair(a, b) make_pair(a, b) template <class T> bool chmax(T &a, const T b) { if (a < b) { a = b; return true; } return false; } template <class T> bool chmin(T &a, const T b) { if (a > b) { a = b; return true; } return false; } template <class T> T divup(const T a, const T b) { if (a % b == 0) { return a / b; } return a / b + 1; } template <class T> bool cmp_2nd(pair<T, T> a, pair<T, T> b) { if (a.second != b.second) { return a.second < b.second; } return a.first < b.first; } ll modpow(ll x, ll n, const ll &p) { ll ret = 1; while (n > 0) { if (n & 1) { (ret *= x) %= p; } (x *= x) %= p; n >>= 1; } return ret; } template <class T> T modinv(T a, const T &p) { T b = p, u = 1, v = 0; while (b) { T t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= p; if (u < 0) { u += p; } return u; } template <class T> T math_P(T m, T n) { T ret = 1; for (T i = m; i > m - n; i--) { ret *= i; } return ret; } template <class T> T math_C(T m, T n) { T ret = math_P(m, n); for (T i = 2; i <= n; i++) { ret /= i; } return ret; } ll extended_euclidean(ll u, ll v) { ll r0 = u; ll r1 = v; ll s0 = 1; ll s1 = 0; ll t0 = 0; ll t1 = 1; while (r1 != 0) { ll q = r0 / r1; ll r = r0 - q * r1; ll s = s0 - q * s1; ll t = t0 - q * t1; r0 = r1; s0 = s1; t0 = t1; r1 = r; s1 = s; t1 = t; } if (t0 < 0) { return t0 + u; } else { return t0; } } ll math_C_mod(ll n, ll c, const ll &p) { ll upe = 1; ll dow = 1; for (ll i = 1; i < c + 1; ++i) { upe = upe * n % p; dow = dow * i % p; n -= 1; } return (upe * extended_euclidean(p, dow)) % p; } template <class T> T math_gcd(T a, T b) { if (b == 0) { return a; } else { return math_gcd(b, a % b); } } template <class T> T math_lcm(T a, T b) { return a / math_gcd(a, b) * b; } template <class T> T SumStep(T a, T n, T d) { return n * (2 * a + (n - 1) * d) / 2; } template <class T> T SumRange(T a, T b, T d) { return SumStep(a, (b - a) / d, d); } constexpr ll MOD = 1000000007; // 10^9+7 // constexpr ll MOD = 998244353; /*****/ vec<vec<vec<ld>>> dp; int N; ld rec(int i, int j, int k) { if (dp[i][j][k] >= 0) return dp[i][j][k]; if (i == 0 && j == 0 && k == 0) return 0.0; ld res = 0.0; if (i > 0) res += rec(i - 1, j, k) * i; if (j > 0) res += rec(i + 1, j - 1, k) * j; if (k > 0) res += rec(i, j + 1, k - 1) * k; res += N; res *= 1.0 / (i + j + k); return dp[i][j][k] = res; } void Main() { cin >> N; vec<int> ac(4); rep(i, N) { int a; cin >> a; ac[a]++; } dp.resize(ac[1] + 100, vec<vec<ld>>(ac[2] + 100, vec<ld>(ac[3] + 100, -1))); cout << rec(ac[1], ac[2], ac[3]) << endl; } /*****/ int main() { std::ios::sync_with_stdio(false); std::cin.tie(0); std::cout << std::fixed << std::setprecision(10); #ifdef TRUE Main(); #endif std::cerr << flush; std::cout << flush; return 0; }
/*****/ #define TRUE true /**/ #pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") /**/ #include <bits/stdc++.h> // #define int long long using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pint = pair<int, int>; using pll = pair<long long, long long>; template <class T> using vec = vector<T>; template <class T> using grapth = vec<vec<T>>; #define rep(i, n) for (ll i = 0, i##_len = (n); i < i##_len; ++i) #define rep1(i, n) for (ll i = 1, i##_len = (n); i <= i##_len; ++i) #define rrep(i, n) for (ll i = (n)-1; i >= 0; --i) #define rrep1(i, n) for (ll i = (n); i > 0; --i) #define step(i, a, n) for (ll i = (a), i##_len = (a) + (n); i < i##_len; ++i) #define rstep(i, a, n) \ for (ll i = (a) + (n)-1, i##_len = (a); i >= i##_len; --i) #define range(i, a, b) for (ll i = (a), i##_len = (b); i < i##_len; ++i) #define rrange(i, a, b) for (ll i = (b)-1, i##_len = (a); i >= i##_len; --i) constexpr int INF = numeric_limits<int>::max(); constexpr ll INFL = numeric_limits<ll>::max(); std::string strMulti(const char c, const int n) { std::string out = ""; for (int i = 0; i < n; i++) { out += c; } return out; } std::string strMulti(const std::string t, const int n) { std::string out = ""; for (int i = 0; i < n; i++) { out += t; } return out; } std::string tab(const int n) { return strMulti('\t', n); } std::string join(const vector<string> &v, const char *delim = 0) { std::string s; if (!v.empty()) { s += v[0]; for (decltype(v.size()) i = 1, c = v.size(); i < c; ++i) { if (delim) s += delim; s += v[i]; } } return s; } string to_string(string s) { return '"' + s + '"'; } string to_string(char c) { return string({'\'', c, '\''}); } template <size_t N> string to_string(bitset<N> bs) { return bs.to_string(); } template <class T1, class T2> string to_string(pair<T1, T2> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <class Tuple, size_t... I> string _to_string_tuple(Tuple &&t, std::index_sequence<I...>) { vector<string> texts = {to_string(std::get<I>(t))...}; return "(" + join(texts, ", ") + ")"; } template <class... Args> string to_string(tuple<Args...> t) { using Tuple = tuple<Args...>; return _to_string_tuple( std::forward<Tuple>(t), std::make_index_sequence<std::tuple_size<std::decay_t<Tuple>>::value>{}); } template <class T> string to_string(vector<T> ar) { vector<string> texts(ar.size()); for (size_t i = 0; i < ar.size(); ++i) { texts[i] = to_string(ar[i]); } return "{" + join(texts, ", ") + "}"; } template <class T> string to_string(initializer_list<T> il) { vector<string> texts(il.size()); size_t i = 0; for (T v : il) { texts[i] = to_string(v); i++; } return "{" + join(texts, ", ") + "}"; } #ifdef DEBUG_BUILD #define debugvar(x) debugln(#x, (x)) #define debugvartab(x, t) debugln(tab(t) + #x, (x)) void debug(string name) { std::cerr << name; } void debugln(string name) { std::cerr << name << '\n'; } template <class T> void debug(string name, T v) { std::cerr << name << " = " << to_string(v); } template <class T> void debugln(string name, T v) { std::cerr << name << " = " << to_string(v) << '\n'; } template <class T> void debug(string name, initializer_list<T> il) { std::cerr << name << " = " << to_string(il); } template <class T> void debugln(string name, initializer_list<T> il) { std::cerr << name << " = " << to_string(il) << '\n'; } template <class... Args> void debug(string name, Args... args) { std::cerr << name << " = " << to_string(tuple<Args...>(args...)); } template <class... Args> void debugln(string name, Args... args) { std::cerr << name << " = " << to_string(tuple<Args...>(args...)) << '\n'; } #else #define debugvar(x) #define debugvartab(x, t) void debug(string name) {} void debugln(string name) {} template <class T> void debug(string name, T v) {} template <class T> void debugln(string name, T v) {} template <class T> void debug(string name, initializer_list<T> il) {} template <class T> void debugln(string name, initializer_list<T> il) {} template <class... Args> void debug(string name, Args... args) {} template <class... Args> void debugln(string name, Args... args) {} #endif #define all(x) (x).begin(), (x).end() #define pair(a, b) make_pair(a, b) template <class T> bool chmax(T &a, const T b) { if (a < b) { a = b; return true; } return false; } template <class T> bool chmin(T &a, const T b) { if (a > b) { a = b; return true; } return false; } template <class T> T divup(const T a, const T b) { if (a % b == 0) { return a / b; } return a / b + 1; } template <class T> bool cmp_2nd(pair<T, T> a, pair<T, T> b) { if (a.second != b.second) { return a.second < b.second; } return a.first < b.first; } ll modpow(ll x, ll n, const ll &p) { ll ret = 1; while (n > 0) { if (n & 1) { (ret *= x) %= p; } (x *= x) %= p; n >>= 1; } return ret; } template <class T> T modinv(T a, const T &p) { T b = p, u = 1, v = 0; while (b) { T t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= p; if (u < 0) { u += p; } return u; } template <class T> T math_P(T m, T n) { T ret = 1; for (T i = m; i > m - n; i--) { ret *= i; } return ret; } template <class T> T math_C(T m, T n) { T ret = math_P(m, n); for (T i = 2; i <= n; i++) { ret /= i; } return ret; } ll extended_euclidean(ll u, ll v) { ll r0 = u; ll r1 = v; ll s0 = 1; ll s1 = 0; ll t0 = 0; ll t1 = 1; while (r1 != 0) { ll q = r0 / r1; ll r = r0 - q * r1; ll s = s0 - q * s1; ll t = t0 - q * t1; r0 = r1; s0 = s1; t0 = t1; r1 = r; s1 = s; t1 = t; } if (t0 < 0) { return t0 + u; } else { return t0; } } ll math_C_mod(ll n, ll c, const ll &p) { ll upe = 1; ll dow = 1; for (ll i = 1; i < c + 1; ++i) { upe = upe * n % p; dow = dow * i % p; n -= 1; } return (upe * extended_euclidean(p, dow)) % p; } template <class T> T math_gcd(T a, T b) { if (b == 0) { return a; } else { return math_gcd(b, a % b); } } template <class T> T math_lcm(T a, T b) { return a / math_gcd(a, b) * b; } template <class T> T SumStep(T a, T n, T d) { return n * (2 * a + (n - 1) * d) / 2; } template <class T> T SumRange(T a, T b, T d) { return SumStep(a, (b - a) / d, d); } constexpr ll MOD = 1000000007; // 10^9+7 // constexpr ll MOD = 998244353; /*****/ vec<vec<vec<ld>>> dp; int N; ld rec(int i, int j, int k) { if (dp[i][j][k] >= 0) return dp[i][j][k]; if (i == 0 && j == 0 && k == 0) return 0.0; ld res = 0.0; if (i > 0) res += rec(i - 1, j, k) * i; if (j > 0) res += rec(i + 1, j - 1, k) * j; if (k > 0) res += rec(i, j + 1, k - 1) * k; res += N; res *= 1.0 / (i + j + k); return dp[i][j][k] = res; } void Main() { cin >> N; vec<int> ac(4); rep(i, N) { int a; cin >> a; ac[a]++; } dp.resize(301, vec<vec<ld>>(301, vec<ld>(301, -1))); cout << rec(ac[1], ac[2], ac[3]) << endl; } /*****/ int main() { std::ios::sync_with_stdio(false); std::cin.tie(0); std::cout << std::fixed << std::setprecision(10); #ifdef TRUE Main(); #endif std::cerr << flush; std::cout << flush; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> #define CHOOSE(a) CHOOSE2 a #define CHOOSE2(a0, a1, a2, a3, a4, x, ...) x #define dump_1(x1) cerr << #x1 << ": " << x1 << endl #define dump_2(x1, x2) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << endl #define dump_3(x1, x2, x3) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \ << x3 << endl #define dump_4(x1, x2, x3, x4) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \ << x3 << ", " #x4 << ": " << x4 << endl #define dump_5(x1, x2, x3, x4, x5) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \ << x3 << ", " #x4 << ": " << x4 << ", " #x5 << ": " << x5 << endl #define dump(...) \ CHOOSE((__VA_ARGS__, dump_5, dump_4, dump_3, dump_2, dump_1, ~))(__VA_ARGS__) #define check(s) cerr << s << endl #define rep(i, n) for (int i = 0; i < n; i++) #define repr(i, n) for (int i = n; i >= 0; i--) #define FOR(i, m, n) for (int i = m; i < n; i++) #define all(x) (x).begin(), (x).end() #define sz(x) ((int)(x).size()) #define unique(v) v.erase(unique(v.begin(), v.end()), v.end()); #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) using namespace std; using ll = long long; vector<int> dx = {0, 1, 0, -1}; vector<int> dy = {1, 0, -1, 0}; const ll LINF = 2e18; const int INF = 1e9; ll N; std::vector<ll> a; vector<vector<vector<double>>> dp; double f(ll c1, ll c2, ll c3) { if (dp[c1][c2][c3] != -1.0) return dp[c1][c2][c3]; if (c1 == 0 && c2 == 0 && c3 == 0) return 0.0; double ret = 0.0; if (c1 > 0) ret += f(c1 - 1, c2, c3) * c1; if (c2 > 0) ret += f(c1 + 1, c2 - 1, c3) * c2; if (c3 > 0) ret += f(c1, c2 + 1, c3 - 1) * c3; ret += N; ret *= 1.0 / (c1 + c2 + c3); return dp[c1][c2][c3] = ret; } void solve() { dp.resize(3 * N, vector<vector<double>>(3 * N, vector<double>(3 * N, -1.0))); ll c1 = 0, c2 = 0, c3 = 0; rep(i, N) { if (a.at(i) == 1) c1++; if (a.at(i) == 2) c2++; if (a.at(i) == 3) c3++; } cout << f(c1, c2, c3) << endl; } int main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); scanf("%lld", &N); a.resize(N); for (int i = 0; i < N; i++) { scanf("%lld", &a[i]); } solve(); return 0; }
#include <bits/stdc++.h> #define CHOOSE(a) CHOOSE2 a #define CHOOSE2(a0, a1, a2, a3, a4, x, ...) x #define dump_1(x1) cerr << #x1 << ": " << x1 << endl #define dump_2(x1, x2) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << endl #define dump_3(x1, x2, x3) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \ << x3 << endl #define dump_4(x1, x2, x3, x4) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \ << x3 << ", " #x4 << ": " << x4 << endl #define dump_5(x1, x2, x3, x4, x5) \ cerr << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \ << x3 << ", " #x4 << ": " << x4 << ", " #x5 << ": " << x5 << endl #define dump(...) \ CHOOSE((__VA_ARGS__, dump_5, dump_4, dump_3, dump_2, dump_1, ~))(__VA_ARGS__) #define check(s) cerr << s << endl #define rep(i, n) for (int i = 0; i < n; i++) #define repr(i, n) for (int i = n; i >= 0; i--) #define FOR(i, m, n) for (int i = m; i < n; i++) #define all(x) (x).begin(), (x).end() #define sz(x) ((int)(x).size()) #define unique(v) v.erase(unique(v.begin(), v.end()), v.end()); #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) using namespace std; using ll = long long; vector<int> dx = {0, 1, 0, -1}; vector<int> dy = {1, 0, -1, 0}; const ll LINF = 2e18; const int INF = 1e9; ll N; std::vector<ll> a; vector<vector<vector<double>>> dp; double f(ll c1, ll c2, ll c3) { if (dp[c1][c2][c3] != -1.0) return dp[c1][c2][c3]; if (c1 == 0 && c2 == 0 && c3 == 0) return 0.0; double ret = 0.0; if (c1 > 0) ret += f(c1 - 1, c2, c3) * c1; if (c2 > 0) ret += f(c1 + 1, c2 - 1, c3) * c2; if (c3 > 0) ret += f(c1, c2 + 1, c3 - 1) * c3; ret += N; ret *= 1.0 / (c1 + c2 + c3); return dp[c1][c2][c3] = ret; } void solve() { dp.resize(310, vector<vector<double>>(310, vector<double>(310, -1.0))); ll c1 = 0, c2 = 0, c3 = 0; rep(i, N) { if (a.at(i) == 1) c1++; if (a.at(i) == 2) c2++; if (a.at(i) == 3) c3++; } cout << f(c1, c2, c3) << endl; } int main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); scanf("%lld", &N); a.resize(N); for (int i = 0; i < N; i++) { scanf("%lld", &a[i]); } solve(); return 0; }
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p03169
C++
Time Limit Exceeded
#include <algorithm> #include <cstdio> #include <iostream> using namespace std; int n; double dp[310][310][310]; double dfs(int x3, int x2, int x1) { if (x3 == 0 && x2 == 0 && x1 == 0) return 0.0; else { double sum = (double)(x3 + x2 + x1); double ret = (double)n / sum; if (x3 > 0) ret += dfs(x3 - 1, x2 + 1, x1) * (double)x3 / sum; if (x2 > 0) ret += dfs(x3, x2 - 1, x1 + 1) * (double)x2 / sum; if (x1 > 0) ret += dfs(x3, x2, x1 - 1) * (double)x1 / sum; return dp[x3][x2][x1] = ret; } } int main() { cin >> n; int a[n], x1 = 0, x2 = 0, x3 = 0, x; for (size_t i = 0; i < n; i++) { cin >> x; if (x == 3) x3++; if (x == 2) x2++; if (x == 1) x1++; } dp[0][0][0] = 0; int i, j, k, h; printf("%.12f\n", dfs(x3, x2, x1)); return 0; }
#include <algorithm> #include <cstdio> #include <iostream> using namespace std; int n; double dp[310][310][310]; double dfs(int x3, int x2, int x1) { if (x3 == 0 && x2 == 0 && x1 == 0) return 0.0; else if (dp[x3][x2][x1] > 0) return dp[x3][x2][x1]; else { double sum = (double)(x3 + x2 + x1); double ret = (double)n / sum; if (x3 > 0) ret += dfs(x3 - 1, x2 + 1, x1) * (double)x3 / sum; if (x2 > 0) ret += dfs(x3, x2 - 1, x1 + 1) * (double)x2 / sum; if (x1 > 0) ret += dfs(x3, x2, x1 - 1) * (double)x1 / sum; return dp[x3][x2][x1] = ret; } } int main() { cin >> n; int a[n], x1 = 0, x2 = 0, x3 = 0, x; for (size_t i = 0; i < n; i++) { cin >> x; if (x == 3) x3++; if (x == 2) x2++; if (x == 1) x1++; } dp[0][0][0] = 0; int i, j, k, h; printf("%.12f\n", dfs(x3, x2, x1)); return 0; }
insert
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TLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef vector<ld> vi; typedef pair<int, int> ii; typedef vector<ii> vii; typedef vector<vi> vvi; typedef vector<vii> vvii; #define INF INT_MAX #define MOD 1000000007 #define all(x) x.begin(), x.end() int N; vi A(4); vector<vvi> dp(300, vvi(300, vi(300, -1))); ld f(int a, int b, int c) { if (a < 0 or b < 0 or c < 0) return 0; if (dp[a][b][c] != -1) return dp[a][b][c]; int v = (a + b + c); dp[a][b][c] = N + a * f(a - 1, b, c) + b * f(a + 1, b - 1, c) + c * f(a, b + 1, c - 1); dp[a][b][c] /= ld(v); return dp[a][b][c]; } int main() { ios::sync_with_stdio(false); cin.tie(NULL); cin >> N; for (int x = 0; x < N; x++) { int i; cin >> i; A[i]++; } dp[0][0][0] = 0; cout << fixed << setprecision(10) << f(A[1], A[2], A[3]) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef vector<ld> vi; typedef pair<int, int> ii; typedef vector<ii> vii; typedef vector<vi> vvi; typedef vector<vii> vvii; #define INF INT_MAX #define MOD 1000000007 #define all(x) x.begin(), x.end() int N; vi A(4); vector<vvi> dp(305, vvi(305, vi(305, -1))); ld f(int a, int b, int c) { if (a < 0 or b < 0 or c < 0) return 0; if (dp[a][b][c] != -1) return dp[a][b][c]; int v = (a + b + c); dp[a][b][c] = N + a * f(a - 1, b, c) + b * f(a + 1, b - 1, c) + c * f(a, b + 1, c - 1); dp[a][b][c] /= ld(v); return dp[a][b][c]; } int main() { ios::sync_with_stdio(false); cin.tie(NULL); cin >> N; for (int x = 0; x < N; x++) { int i; cin >> i; A[i]++; } dp[0][0][0] = 0; cout << fixed << setprecision(10) << f(A[1], A[2], A[3]) << endl; return 0; }
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terminate called after throwing an instance of 'std::bad_alloc' what(): std::bad_alloc
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; double dp[301][301][301]; int n; // double dfs(int a, int b, int c){ // if(a+b+c == 0) // return 0.0; // if(dp[a][b][c] > -0.5) // return dp[a][b][c]; // double ks = (double)n/ (a+b+c); // double ret=0; // if(a){ // ret += (dfs(a-1,b,c) + ks)*(a/(a+b+c)); // } // if(b){ // ret += (dfs(a+1,b-1,c) + ks)*(b/(a+b+c)); // } // if(c){ // ret += (dfs(a,b+1,c-1) + ks)*(c/(a+b+c)); // } // return dp[a][b][c]=ret; // } double rec(int i, int j, int k) { if (!i && !j && !k) return 0.0; if (dp[i][j][k] > 0.0) return dp[i][j][k]; double sum = i + j + k; double ret = n / sum; if (i > 0) ret += (double)(i / sum) * rec(i - 1, j, k); if (j > 0) ret += (double)(j / sum) * rec(i + 1, j - 1, k); if (k > 0) ret += (double)(k / sum) * rec(i, j + 1, k - 1); return dp[i][j][k] = ret; } int main() { // memset(dp, -1, sizeof(dp)); for (int i = 0; i < 310; i++) { for (int j = 0; j < 310; j++) { for (int k = 0; k < 310; k++) { dp[i][j][k] = -1; } } } int st[4]; memset(st, 0, sizeof(st)); cin >> n; for (int i = 0; i < n; i++) { int t; cin >> t; st[t]++; } // cout<<dfs(st[1],st[2],st[3]); // cout<<setprecesion(12)<<dfs(st[1],st[2],st[3]); cout << fixed << setprecision(12) << rec(st[1], st[2], st[3]) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; double dp[301][301][301]; int n; // double dfs(int a, int b, int c){ // if(a+b+c == 0) // return 0.0; // if(dp[a][b][c] > -0.5) // return dp[a][b][c]; // double ks = (double)n/ (a+b+c); // double ret=0; // if(a){ // ret += (dfs(a-1,b,c) + ks)*(a/(a+b+c)); // } // if(b){ // ret += (dfs(a+1,b-1,c) + ks)*(b/(a+b+c)); // } // if(c){ // ret += (dfs(a,b+1,c-1) + ks)*(c/(a+b+c)); // } // return dp[a][b][c]=ret; // } double rec(int i, int j, int k) { if (!i && !j && !k) return 0.0; if (dp[i][j][k] > 0.0) return dp[i][j][k]; double sum = i + j + k; double ret = n / sum; if (i > 0) ret += (double)(i / sum) * rec(i - 1, j, k); if (j > 0) ret += (double)(j / sum) * rec(i + 1, j - 1, k); if (k > 0) ret += (double)(k / sum) * rec(i, j + 1, k - 1); return dp[i][j][k] = ret; } int main() { // memset(dp, -1, sizeof(dp)); for (int i = 0; i < 301; i++) { for (int j = 0; j < 301; j++) { for (int k = 0; k < 301; k++) { dp[i][j][k] = -1; } } } int st[4]; memset(st, 0, sizeof(st)); cin >> n; for (int i = 0; i < n; i++) { int t; cin >> t; st[t]++; } // cout<<dfs(st[1],st[2],st[3]); // cout<<setprecesion(12)<<dfs(st[1],st[2],st[3]); cout << fixed << setprecision(12) << rec(st[1], st[2], st[3]) << endl; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int t; double dp[301][301][301]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> t; short a[3] = {0}; for (int i = 0; i < t; i++) { int x; cin >> x; a[x - 1]++; } for (int threes = 0; threes <= a[2]; threes++) { for (int twos = 0; twos <= a[1] + a[2]; twos++) { for (int ones = 0; ones <= a[0] + a[1] + a[2]; ones++) { double sum = ones + twos + threes; if (sum <= 0.5) continue; double p_waste = t / sum; auto &p = dp[ones][twos][threes]; if (ones > 0) { p += (ones) * (p_waste + dp[ones - 1][twos][threes]); } if (twos > 0) { p += (twos) * (p_waste + dp[ones + 1][twos - 1][threes]); } if (threes > 0) { p += (threes) * (p_waste + dp[ones][twos + 1][threes - 1]); } p /= sum; } } } cout << setprecision(10) << dp[a[0]][a[1]][a[2]]; return 0; }
#include <bits/stdc++.h> using namespace std; int t; double dp[301][301][301]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> t; short a[3] = {0}; for (int i = 0; i < t; i++) { int x; cin >> x; a[x - 1]++; } for (int threes = 0; threes <= a[2]; threes++) { for (int twos = 0; twos <= -threes + a[1] + a[2]; twos++) { for (int ones = 0; ones <= -threes - twos + a[0] + a[1] + a[2]; ones++) { double sum = ones + twos + threes; if (sum <= 0.5) continue; double p_waste = t / sum; auto &p = dp[ones][twos][threes]; if (ones > 0) { p += (ones) * (p_waste + dp[ones - 1][twos][threes]); } if (twos > 0) { p += (twos) * (p_waste + dp[ones + 1][twos - 1][threes]); } if (threes > 0) { p += (threes) * (p_waste + dp[ones][twos + 1][threes - 1]); } p /= sum; } } } cout << setprecision(10) << dp[a[0]][a[1]][a[2]]; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int t; double dp[301][301][301]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> t; short a[3] = {0}; for (int i = 0; i < t; i++) { int x; cin >> x; a[x - 1]++; } for (int threes = 0; threes <= t; threes++) { for (int twos = 0; twos <= t; twos++) { for (int ones = 0; ones <= t; ones++) { double sum = ones + twos + threes; if (sum <= 0.5) continue; double p_waste = t / sum; auto &p = dp[ones][twos][threes]; if (ones > 0) { p += (ones) * (p_waste + dp[ones - 1][twos][threes]); } if (twos > 0) { p += (twos) * (p_waste + dp[ones + 1][twos - 1][threes]); } if (threes > 0) { p += (threes) * (p_waste + dp[ones][twos + 1][threes - 1]); } p /= sum; } } } cout << setprecision(10) << dp[a[0]][a[1]][a[2]]; return 0; }
#include <bits/stdc++.h> using namespace std; int t; double dp[301][301][301]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> t; short a[3] = {0}; for (int i = 0; i < t; i++) { int x; cin >> x; a[x - 1]++; } for (int threes = 0; threes <= t; threes++) { for (int twos = 0; twos <= t - threes; twos++) { for (int ones = 0; ones <= t - threes - twos; ones++) { double sum = ones + twos + threes; if (sum <= 0.5) continue; double p_waste = t / sum; auto &p = dp[ones][twos][threes]; if (ones > 0) { p += (ones) * (p_waste + dp[ones - 1][twos][threes]); } if (twos > 0) { p += (twos) * (p_waste + dp[ones + 1][twos - 1][threes]); } if (threes > 0) { p += (threes) * (p_waste + dp[ones][twos + 1][threes - 1]); } p /= sum; } } } cout << setprecision(10) << dp[a[0]][a[1]][a[2]]; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define ll long long #define mod 1e9 + 7 #define pll pair<long long, long long> #define pdd pair<long double, long double> #define vll vector<ll> #define rep(i, j, n) for (int i = j; i < n; i++) #define mp make_pair #define pb push_back #define pf push_front #define inf 1e17 priority_queue<pll, vector<pll>, greater<pll>> pq; priority_queue<ll, vector<ll>, greater<ll>> pq1; ll n; double dp[301][301][301]; ll arr[301]; double solve(ll a, ll b, ll c) { // cout<<a<<" "<<b<<" "<<c<<"\n"; if (a < 0 || b < 0 || c < 0) return 0; if (a == 0 && b == 0 && c == 0) return 0; if (dp[a][b][c] != -1) return dp[a][b][c]; double p = (1.0) * (a + b + c); dp[a][b][c] = 0.0; dp[a][b][c] = (a / p) * solve(a - 1, b, c) + (b / p) * solve(a + 1, b - 1, c) + (c / p) * solve(a, b + 1, c - 1) + (double)n / p; return dp[a][b][c]; } int main() { freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); // ll n; cin >> n; ll a = 0, b = 0, c = 0; for (int i = 0; i < n; i++) { cin >> arr[i]; if (arr[i] == 1) a++; else if (arr[i] == 2) b++; else c++; } for (int i = 0; i < 301; i++) { for (int j = 0; j < 301; j++) { for (int k = 0; k < 301; k++) dp[i][j][k] = -1.0; } } // memset(dp,-1.00,sizeof(dp)); // dp[0][0][0]=(1.0); // dp[1][0][0]=(1.0); double ans = solve(a, b, c); cout << setprecision(27) << ans; return 0; }
#include <bits/stdc++.h> using namespace std; #define ll long long #define mod 1e9 + 7 #define pll pair<long long, long long> #define pdd pair<long double, long double> #define vll vector<ll> #define rep(i, j, n) for (int i = j; i < n; i++) #define mp make_pair #define pb push_back #define pf push_front #define inf 1e17 priority_queue<pll, vector<pll>, greater<pll>> pq; priority_queue<ll, vector<ll>, greater<ll>> pq1; ll n; double dp[301][301][301]; ll arr[301]; double solve(ll a, ll b, ll c) { // cout<<a<<" "<<b<<" "<<c<<"\n"; if (a < 0 || b < 0 || c < 0) return 0; if (a == 0 && b == 0 && c == 0) return 0; if (dp[a][b][c] != -1) return dp[a][b][c]; double p = (1.0) * (a + b + c); dp[a][b][c] = 0.0; dp[a][b][c] = (a / p) * solve(a - 1, b, c) + (b / p) * solve(a + 1, b - 1, c) + (c / p) * solve(a, b + 1, c - 1) + (double)n / p; return dp[a][b][c]; } int main() { // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); // ll n; cin >> n; ll a = 0, b = 0, c = 0; for (int i = 0; i < n; i++) { cin >> arr[i]; if (arr[i] == 1) a++; else if (arr[i] == 2) b++; else c++; } for (int i = 0; i < 301; i++) { for (int j = 0; j < 301; j++) { for (int k = 0; k < 301; k++) dp[i][j][k] = -1.0; } } // memset(dp,-1.00,sizeof(dp)); // dp[0][0][0]=(1.0); // dp[1][0][0]=(1.0); double ans = solve(a, b, c); cout << setprecision(27) << ans; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> #ifdef DBP #define deb(...) fprintf(stderr, __VA_ARGS__) #else #define deb(...) 0 #endif #define fst first #define snd second #define fore(x, a, b) for (int x = (a), qwerty = (b); x < qwerty; x++) #define pb push_back #define mset(a, v) memset((a), (v), sizeof(a)) #define ALL(a) (a).begin(), (a).end() #define SZ(a) int((a).size()) #define FIN \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) using namespace std; typedef long long ll; const int N = 301; int A[N], n; double dp[N][N][N]; int main() { FIN; cout << setprecision(12); cin >> n; fore(x, 0, n) cin >> A[x]; double nd = n; fore(c, 0, n + 1) fore(b, 0, n + 1) fore(a, 0, n + 1) { if (a + b + c == 0) continue; double s = a + b + c, &r = dp[a][b][c] = 1; if (a) r += dp[a - 1][b][c] * (a / nd); if (b) r += dp[a + 1][b - 1][c] * (b / nd); if (c) r += dp[a][b + 1][c - 1] * (c / nd); r /= (1 - (nd - s) / nd); } cout << dp[count(A, A + n, 1)][count(A, A + n, 2)][count(A, A + n, 3)] << "\n"; }
#include <bits/stdc++.h> #ifdef DBP #define deb(...) fprintf(stderr, __VA_ARGS__) #else #define deb(...) 0 #endif #define fst first #define snd second #define fore(x, a, b) for (int x = (a), qwerty = (b); x < qwerty; x++) #define pb push_back #define mset(a, v) memset((a), (v), sizeof(a)) #define ALL(a) (a).begin(), (a).end() #define SZ(a) int((a).size()) #define FIN \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) using namespace std; typedef long long ll; const int N = 301; int A[N], n; double dp[N][N][N]; int main() { FIN; cout << setprecision(12); cin >> n; fore(x, 0, n) cin >> A[x]; double nd = n; fore(c, 0, n + 1) fore(b, 0, n + 1) fore(a, 0, n + 1) { if (a + b + c == 0 || a + b + c > n) continue; double s = a + b + c, &r = dp[a][b][c] = 1; if (a) r += dp[a - 1][b][c] * (a / nd); if (b) r += dp[a + 1][b - 1][c] * (b / nd); if (c) r += dp[a][b + 1][c - 1] * (c / nd); r /= (1 - (nd - s) / nd); } cout << dp[count(A, A + n, 1)][count(A, A + n, 2)][count(A, A + n, 3)] << "\n"; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int N = 301; double dp[N][N][N]; int n; int cnt[4]; int main() { cin >> n; for (int i = 0; i < n; i++) { int x; cin >> x; cnt[x]++; } for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if (i == 0 && j == 0 && k == 0) continue; dp[i][j][k] = 1; if (i) dp[i][j][k] += 1.0 * i / n * dp[i - 1][j][k]; if (j) dp[i][j][k] += 1.0 * j / n * dp[i + 1][j - 1][k]; if (k) dp[i][j][k] += 1.0 * k / n * dp[i][j + 1][k - 1]; dp[i][j][k] /= 1 - 1.0 * (n - i - j - k) / n; } } } printf("%.10f", dp[cnt[1]][cnt[2]][cnt[3]]); }
#include <bits/stdc++.h> using namespace std; const int N = 302; double dp[N][N][N]; int n; int cnt[4]; int main() { cin >> n; for (int i = 0; i < n; i++) { int x; cin >> x; cnt[x]++; } for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if (i == 0 && j == 0 && k == 0) continue; dp[i][j][k] = 1; if (i) dp[i][j][k] += 1.0 * i / n * dp[i - 1][j][k]; if (j) dp[i][j][k] += 1.0 * j / n * dp[i + 1][j - 1][k]; if (k) dp[i][j][k] += 1.0 * k / n * dp[i][j + 1][k - 1]; dp[i][j][k] /= 1 - 1.0 * (n - i - j - k) / n; } } } printf("%.10f", dp[cnt[1]][cnt[2]][cnt[3]]); }
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-11
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define fs first #define sc second #define mp make_pair #define pb push_back #define eb emplace_back #define ALL(A) A.begin(), A.end() #define RALL(A) A.rbegin(), A.rend() typedef long LL; typedef pair<LL, LL> P; const LL mod = 1e9 + 7; const LL LINF = 1LL << 62; const int INF = 1000000000; int main() { int N; cin >> N; vector<int> a(3, 0); for (int i = 0; i < N; i++) { int x; cin >> x; a[x - 1]++; } double dp[N + 1][N + 1][N + 1]; for (int i = 0; i < N + 1; i++) { for (int j = 0; j < N + 1; j++) { for (int k = 0; k < N + 1; k++) { dp[i][j][k] = 0.0; } } } for (int k = 0; k <= N; k++) { for (int j = 0; j <= N; j++) { for (int i = 0; i <= N; i++) { if (i == 0 && j == 0 && k == 0) continue; double sum = i + j + k; double t = 0.0; if (j > 0) t += dp[i + 1][j - 1][k] * j; if (k > 0) t += dp[i][j + 1][k - 1] * k; if (i > 0) t += dp[i - 1][j][k] * i; dp[i][j][k] = (t + N) / sum; } } } cout << setprecision(10) << fixed << dp[a[0]][a[1]][a[2]] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define fs first #define sc second #define mp make_pair #define pb push_back #define eb emplace_back #define ALL(A) A.begin(), A.end() #define RALL(A) A.rbegin(), A.rend() typedef long LL; typedef pair<LL, LL> P; const LL mod = 1e9 + 7; const LL LINF = 1LL << 62; const int INF = 1000000000; int main() { int N; cin >> N; vector<int> a(3, 0); for (int i = 0; i < N; i++) { int x; cin >> x; a[x - 1]++; } double dp[N + 2][N + 2][N + 2]; for (int i = 0; i < N + 2; i++) { for (int j = 0; j < N + 2; j++) { for (int k = 0; k < N + 2; k++) { dp[i][j][k] = 0.0; } } } for (int k = 0; k <= N; k++) { for (int j = 0; j <= N; j++) { for (int i = 0; i <= N; i++) { if (i == 0 && j == 0 && k == 0) continue; double sum = i + j + k; double t = 0.0; if (j > 0) t += dp[i + 1][j - 1][k] * j; if (k > 0) t += dp[i][j + 1][k - 1] * k; if (i > 0) t += dp[i - 1][j][k] * i; dp[i][j][k] = (t + N) / sum; } } } cout << setprecision(10) << fixed << dp[a[0]][a[1]][a[2]] << endl; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using vi = vector<int>; const int N = 301; double dp[N][N][N]; int main() { ios::sync_with_stdio(false); int n; cin >> n; vi cnt(3); for (int i = 0; i < n; i++) { int x; cin >> x; cnt[x - 1]++; } for (int c = 0; c <= n; c++) { for (int b = 0; b <= n; b++) { for (int a = 0; a <= n; a++) { int d = n - a - b - c; if (d == n) { continue; } double p = 0.0; if (a) p += 1.0 * a / n * (1 + dp[a - 1][b][c]); if (b) p += 1.0 * b / n * (1 + dp[a + 1][b - 1][c]); if (c) p += 1.0 * c / n * (1 + dp[a][b + 1][c - 1]); if (d) p = (p + 1.0 * d / n) / (1 - 1.0 * d / n); dp[a][b][c] = p; } } } cout << fixed << setprecision(14) << dp[cnt[0]][cnt[1]][cnt[2]] << '\n'; }
#include <bits/stdc++.h> using namespace std; using vi = vector<int>; const int N = 303; double dp[N][N][N]; int main() { ios::sync_with_stdio(false); int n; cin >> n; vi cnt(3); for (int i = 0; i < n; i++) { int x; cin >> x; cnt[x - 1]++; } for (int c = 0; c <= n; c++) { for (int b = 0; b <= n; b++) { for (int a = 0; a <= n; a++) { int d = n - a - b - c; if (d == n) { continue; } double p = 0.0; if (a) p += 1.0 * a / n * (1 + dp[a - 1][b][c]); if (b) p += 1.0 * b / n * (1 + dp[a + 1][b - 1][c]); if (c) p += 1.0 * c / n * (1 + dp[a][b + 1][c - 1]); if (d) p = (p + 1.0 * d / n) / (1 - 1.0 * d / n); dp[a][b][c] = p; } } } cout << fixed << setprecision(14) << dp[cnt[0]][cnt[1]][cnt[2]] << '\n'; }
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p03169
C++
Runtime Error
#include <iomanip> #include <iostream> using namespace std; int main() { int n; cin >> n; int c[4] = {}; for (int i = 0; i < n; i++) { int a; cin >> a; c[a]++; } double dp[301][301][301] = {}; for (int k = 0; k <= c[3]; k++) for (int j = 0; j <= c[2] + c[3]; j++) for (int i = 0; i <= c[1] + c[2] + c[3]; i++) { if (i + j + k == 0) continue; if (i > 0) dp[i][j][k] += dp[i - 1][j][k] * i / n; if (j > 0) dp[i][j][k] += dp[i + 1][j - 1][k] * j / n; if (k > 0) dp[i][j][k] += dp[i][j + 1][k - 1] * k / n; dp[i][j][k] += 1; dp[i][j][k] *= (double)n / (i + j + k); } cout << setprecision(12) << dp[c[1]][c[2]][c[3]] << endl; }
#include <iomanip> #include <iostream> using namespace std; int main() { int n; cin >> n; int c[4] = {}; for (int i = 0; i < n; i++) { int a; cin >> a; c[a]++; } double dp[302][302][302] = {}; for (int k = 0; k <= c[3]; k++) for (int j = 0; j <= c[2] + c[3]; j++) for (int i = 0; i <= c[1] + c[2] + c[3]; i++) { if (i + j + k == 0) continue; if (i > 0) dp[i][j][k] += dp[i - 1][j][k] * i / n; if (j > 0) dp[i][j][k] += dp[i + 1][j - 1][k] * j / n; if (k > 0) dp[i][j][k] += dp[i][j + 1][k - 1] * k / n; dp[i][j][k] += 1; dp[i][j][k] *= (double)n / (i + j + k); } cout << setprecision(12) << dp[c[1]][c[2]][c[3]] << endl; }
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p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> // #define int long long #define Matrix vector<vector<int>> // #define Matrix vector<vector<int> > #define double long double #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define td(v) v.begin(), v.end() #define tdr(v) v.rbegin(), v.rend() #define endl "\n" #define Matrix vector<vector<int>> using namespace std; const int MOD = 1e9 + 7; const long long INF = 5e18; const double pi = acos(-1.0); mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); int gcd(int a, int b) { return (b == 0 ? a : gcd(b, a % b)); } int lcm(int a, int b) { return (a * b) / gcd(a, b); } inline long long mod(long long n, long long m) { long long ret = n % m; if (ret < 0) ret += m; return ret; } double rad(double x) { return x * pi / 180.0; } bool isleft(pair<int, int> a, pair<int, int> b, pair<int, int> c) { int det = (b.first - a.first) * (c.second - a.second) - (c.first - a.first) * (b.second - a.second); if (det >= 0) return true; if (det < 0) return false; return false; } int exp(int a, int b) { int result = 1; while (b > 0) { if (b & 1) result = mod(result * a, MOD); b >>= 1; a = mod(a * a, MOD); } return result; } double memo[321][321][321]; int vet[321]; int n; double dp(int t, int d, int u) { if (t + d + u == 0) return 0; double &x = memo[t][d][u]; if (x != -1) return x; x = 0; for (int i = 0; i < n; i++) { if (vet[i] == 3) { vet[i]--; x += dp(t - 1, d + 1, u); vet[i]++; } if (vet[i] == 2) { vet[i]--; x += dp(t, d - 1, u + 1); vet[i]++; } if (vet[i] == 1) { vet[i]--; x += dp(t, d, u - 1); vet[i]++; } } x /= (t + d + u) * 1.0; x += n * 1.0 / (t + d + u); return x; } void solve() { cin >> n; int q[4] = {0, 0, 0}; for (int i = 0; i < n; i++) { cin >> vet[i]; q[vet[i]]++; } for (int i = 0; i < 321; i++) for (int j = 0; j < 321; j++) for (int k = 0; k < 321; k++) memo[i][j][k] = -1; cout << fixed << setprecision(13); cout << dp(q[3], q[2], q[1]) << endl; } signed main() { fastio; int t = 1; // cin>>t; while (t--) solve(); }
#include <bits/stdc++.h> // #define int long long #define Matrix vector<vector<int>> // #define Matrix vector<vector<int> > #define double long double #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define td(v) v.begin(), v.end() #define tdr(v) v.rbegin(), v.rend() #define endl "\n" #define Matrix vector<vector<int>> using namespace std; const int MOD = 1e9 + 7; const long long INF = 5e18; const double pi = acos(-1.0); mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); int gcd(int a, int b) { return (b == 0 ? a : gcd(b, a % b)); } int lcm(int a, int b) { return (a * b) / gcd(a, b); } inline long long mod(long long n, long long m) { long long ret = n % m; if (ret < 0) ret += m; return ret; } double rad(double x) { return x * pi / 180.0; } bool isleft(pair<int, int> a, pair<int, int> b, pair<int, int> c) { int det = (b.first - a.first) * (c.second - a.second) - (c.first - a.first) * (b.second - a.second); if (det >= 0) return true; if (det < 0) return false; return false; } int exp(int a, int b) { int result = 1; while (b > 0) { if (b & 1) result = mod(result * a, MOD); b >>= 1; a = mod(a * a, MOD); } return result; } double memo[321][321][321]; int vet[321]; int n; double dp(int t, int d, int u) { if (t + d + u == 0) return 0; double &x = memo[t][d][u]; if (x != -1) return x; x = 0; if (t > 0) x += t * dp(t - 1, d + 1, u); if (d > 0) x += d * dp(t, d - 1, u + 1); if (u > 0) { x += u * dp(t, d, u - 1); } x /= (t + d + u) * 1.0; x += n * 1.0 / (t + d + u); return x; } void solve() { cin >> n; int q[4] = {0, 0, 0}; for (int i = 0; i < n; i++) { cin >> vet[i]; q[vet[i]]++; } for (int i = 0; i < 321; i++) for (int j = 0; j < 321; j++) for (int k = 0; k < 321; k++) memo[i][j][k] = -1; cout << fixed << setprecision(13); cout << dp(q[3], q[2], q[1]) << endl; } signed main() { fastio; int t = 1; // cin>>t; while (t--) solve(); }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int N = 301; double dp[N][N][N]; int main() { ios::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(9); int n; cin >> n; array<int, 4> cnt{}; int sum = 0; for (int i = 0; i < n; ++i) { int a; cin >> a; ++cnt[a]; sum += a; } for (int s = 1; s <= sum; ++s) { for (int j = 0; j <= n; ++j) { for (int k = 0; k <= n; ++k) { int i = s - 2 * j - 3 * k; if (i < 0 || i > n) continue; dp[i][j][k] = n; if (i > 0) dp[i][j][k] += i * dp[i - 1][j][k]; if (j > 0) dp[i][j][k] += j * dp[i + 1][j - 1][k]; if (k > 0) dp[i][j][k] += k * dp[i][j + 1][k - 1]; dp[i][j][k] /= (i + j + k); } } } cout << dp[cnt[1]][cnt[2]][cnt[3]] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 310; double dp[N][N][N]; int main() { ios::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(9); int n; cin >> n; array<int, 4> cnt{}; int sum = 0; for (int i = 0; i < n; ++i) { int a; cin >> a; ++cnt[a]; sum += a; } for (int s = 1; s <= sum; ++s) { for (int j = 0; j <= n; ++j) { for (int k = 0; k <= n; ++k) { int i = s - 2 * j - 3 * k; if (i < 0 || i > n) continue; dp[i][j][k] = n; if (i > 0) dp[i][j][k] += i * dp[i - 1][j][k]; if (j > 0) dp[i][j][k] += j * dp[i + 1][j - 1][k]; if (k > 0) dp[i][j][k] += k * dp[i][j + 1][k - 1]; dp[i][j][k] /= (i + j + k); } } } cout << dp[cnt[1]][cnt[2]][cnt[3]] << endl; return 0; }
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p03169
C++
Runtime Error
#include <algorithm> #include <complex> #include <cstdio> #include <deque> #include <iomanip> #include <iostream> #include <map> #include <memory> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <vector> #define REP(i, m, n) for (int i = int(m); i < int(n); i++) #define RREP(i, m, n) for (int i = int(n) - 1; i >= int(m); --i) #define EACH(i, c) for (auto &(i) : c) #define all(c) begin(c), end(c) #define EXIST(s, e) ((s).find(e) != (s).end()) #define SORT(c) sort(begin(c), end(c)) #define pb emplace_back #define MP make_pair #define SZ(a) int((a).size()) #ifdef LOCAL #define DEBUG(s) cout << (s) << endl #define dump(x) cerr << #x << " = " << (x) << endl #define BR cout << endl; #else #define DEBUG(s) \ do { \ } while (0) #define dump(x) \ do { \ } while (0) #define BR #endif using namespace std; using UI = unsigned int; using UL = unsigned long; using LL = long long int; using ULL = unsigned long long; using VI = vector<int>; using VVI = vector<VI>; using VLL = vector<LL>; using VS = vector<string>; using PII = pair<int, int>; using VP = vector<PII>; // struct edge {int from, to, cost;}; constexpr double EPS = 1e-10; // constexpr double PI = acos(-1.0); // constexpr int INF = INT_MAX; constexpr int MOD = 1'000'000'007; template <class T> inline T sqr(T x) { return x * x; } double dp[101][101][101] = {}; double solve(int c1, int c2, int c3, int n) { if (c1 <= 0 || c2 < 0 || c3 < 0) return 0.0; if (c1 < c2 || c2 < c3 || c1 < c3) return 0.0; if (dp[c1][c2][c3] != 0) return dp[c1][c2][c3]; int sum = c1; if (sum == 1 && c1 - c2 == 1) return dp[c1][c2][c3] = 1.0 * n; return dp[c1][c2][c3] = (solve(c1 - 1, c2, c3, n) * (double)(c1 - c2) / n + solve(c1, c2 - 1, c3, n) * (double)(c2 - c3) / n + solve(c1, c2, c3 - 1, n) * (double)c3 / n + 1) * n / sum; } void solve() { int n; cin >> n; VI a(n); REP(i, 0, n) cin >> a[i]; int cnt[3] = {}; REP(i, 0, n) REP(j, 0, a[i]) cnt[j]++; // cout<< solve(cnt[0], cnt[1], cnt[2], n) << endl; printf("%.12lf\n", solve(cnt[0], cnt[1], cnt[2], n)); } int main() { solve(); return 0; }
#include <algorithm> #include <complex> #include <cstdio> #include <deque> #include <iomanip> #include <iostream> #include <map> #include <memory> #include <numeric> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <vector> #define REP(i, m, n) for (int i = int(m); i < int(n); i++) #define RREP(i, m, n) for (int i = int(n) - 1; i >= int(m); --i) #define EACH(i, c) for (auto &(i) : c) #define all(c) begin(c), end(c) #define EXIST(s, e) ((s).find(e) != (s).end()) #define SORT(c) sort(begin(c), end(c)) #define pb emplace_back #define MP make_pair #define SZ(a) int((a).size()) #ifdef LOCAL #define DEBUG(s) cout << (s) << endl #define dump(x) cerr << #x << " = " << (x) << endl #define BR cout << endl; #else #define DEBUG(s) \ do { \ } while (0) #define dump(x) \ do { \ } while (0) #define BR #endif using namespace std; using UI = unsigned int; using UL = unsigned long; using LL = long long int; using ULL = unsigned long long; using VI = vector<int>; using VVI = vector<VI>; using VLL = vector<LL>; using VS = vector<string>; using PII = pair<int, int>; using VP = vector<PII>; // struct edge {int from, to, cost;}; constexpr double EPS = 1e-10; // constexpr double PI = acos(-1.0); // constexpr int INF = INT_MAX; constexpr int MOD = 1'000'000'007; template <class T> inline T sqr(T x) { return x * x; } double dp[301][301][301] = {}; double solve(int c1, int c2, int c3, int n) { if (c1 <= 0 || c2 < 0 || c3 < 0) return 0.0; if (c1 < c2 || c2 < c3 || c1 < c3) return 0.0; if (dp[c1][c2][c3] != 0) return dp[c1][c2][c3]; int sum = c1; if (sum == 1 && c1 - c2 == 1) return dp[c1][c2][c3] = 1.0 * n; return dp[c1][c2][c3] = (solve(c1 - 1, c2, c3, n) * (double)(c1 - c2) / n + solve(c1, c2 - 1, c3, n) * (double)(c2 - c3) / n + solve(c1, c2, c3 - 1, n) * (double)c3 / n + 1) * n / sum; } void solve() { int n; cin >> n; VI a(n); REP(i, 0, n) cin >> a[i]; int cnt[3] = {}; REP(i, 0, n) REP(j, 0, a[i]) cnt[j]++; // cout<< solve(cnt[0], cnt[1], cnt[2], n) << endl; printf("%.12lf\n", solve(cnt[0], cnt[1], cnt[2], n)); } int main() { solve(); return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define sp << " " << #define mod 1000000007 /* mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); long long dice() { uniform_int_distribution<long long> uid(1,2);//specify l and r. return uid(rng) ; } int read() { int cc = getc(stdin); for (;cc < '0' || cc > '9';) cc = getc(stdin); int ret = 0; for (;cc >= '0' && cc <= '9';) { ret = ret * 10 + cc - '0'; cc = getc(stdin); } return ret; } inline void print(int n) { if (n == 0) { putchar('0'); putchar('\n'); } else if (n == -1) { putchar('-'); putchar('1'); putchar('\n'); } else { char buf[11]; buf[10] = '\n'; int i = 9; while (n) { buf[i--] = n % 10 + '0'; n /= 10; } while (buf[i] != '\n') putchar(buf[++i]); } } */ long double dp[301][301][301]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); long double n; int x = 0, y = 0, z = 0; cin >> n; int d; for (int i = 0; i < n; i++) { cin >> d; if (d == 1) x++; else if (d == 2) y++; else z++; } dp[0][0][0] = 0; for (int i = 0; i <= (z); i++) { for (int j = 0; j <= (y + z); j++) { for (int k = 0; k <= (x + y + z); k++) { if ((i + j + k) > 0) dp[k][j][i] = (n / (long double)(i + j + k)); if (k > 0) dp[k][j][i] += (long double)k * dp[k - 1][j][i] / (i + j + k); if (j > 0) dp[k][j][i] += (long double)j * dp[k + 1][j - 1][i] / (i + j + k); if (i > 0) dp[k][j][i] += (long double)i * dp[k][j + 1][i - 1] / (i + j + k); } } } cout << fixed << setprecision(13) << dp[x][y][z]; return 0; }
#include <bits/stdc++.h> using namespace std; #define sp << " " << #define mod 1000000007 /* mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); long long dice() { uniform_int_distribution<long long> uid(1,2);//specify l and r. return uid(rng) ; } int read() { int cc = getc(stdin); for (;cc < '0' || cc > '9';) cc = getc(stdin); int ret = 0; for (;cc >= '0' && cc <= '9';) { ret = ret * 10 + cc - '0'; cc = getc(stdin); } return ret; } inline void print(int n) { if (n == 0) { putchar('0'); putchar('\n'); } else if (n == -1) { putchar('-'); putchar('1'); putchar('\n'); } else { char buf[11]; buf[10] = '\n'; int i = 9; while (n) { buf[i--] = n % 10 + '0'; n /= 10; } while (buf[i] != '\n') putchar(buf[++i]); } } */ long double dp[301][301][301]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); long double n; int x = 0, y = 0, z = 0; cin >> n; int d; for (int i = 0; i < n; i++) { cin >> d; if (d == 1) x++; else if (d == 2) y++; else z++; } dp[0][0][0] = 0; for (int i = 0; i <= 300; i++) { for (int j = 0; j <= 300; j++) { for (int k = 0; k <= 300; k++) { if (i + j + k > 300) continue; if ((i + j + k) > 0) dp[k][j][i] = (n / (long double)(i + j + k)); if (k > 0) dp[k][j][i] += (long double)k * dp[k - 1][j][i] / (i + j + k); if (j > 0) dp[k][j][i] += (long double)j * dp[k + 1][j - 1][i] / (i + j + k); if (i > 0) dp[k][j][i] += (long double)i * dp[k][j + 1][i - 1] / (i + j + k); } } } cout << fixed << setprecision(13) << dp[x][y][z]; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> #define IO_OP \ std::ios::sync_with_stdio(0); \ std::cin.tie(0); #define F first #define S second #define V vector #define PB push_back #define MP make_pair #define EB emplace_back #define ALL(v) (v).begin(), (v).end() #define debug(x) \ cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl using namespace std; typedef long long ll; typedef pair<int, int> pi; typedef V<int> vi; const int INF = 1e9 + 7; double dp[303][501][901]; signed main() { IO_OP; int n, sum = 0; cin >> n; int cnt[3] = {}; for (int i = 0; i < n; i++) { int x; cin >> x; sum += x; cnt[x - 1]++; } for (int k = 0; k * 3 <= sum; k++) for (int j = 0; k * 3 + j * 2 <= sum; j++) for (int i = 0; i + k * 3 + j * 2 <= sum; i++) { if (i == 0 && j == 0 && k == 0) { dp[i][j][k] = 0; } else { int left = n - i - j - k; double c = 1 - (double)left / n; dp[i][j][k] = (1 + (i ? dp[i - 1][j][k] : 0.) * i / n + (j ? dp[i + 1][j - 1][k] : 0.) * j / n + (k ? dp[i][j + 1][k - 1] : 0.) * k / n) / c; } } cout << fixed << setprecision(10) << dp[cnt[0]][cnt[1]][cnt[2]] << endl; }
#include <bits/stdc++.h> #define IO_OP \ std::ios::sync_with_stdio(0); \ std::cin.tie(0); #define F first #define S second #define V vector #define PB push_back #define MP make_pair #define EB emplace_back #define ALL(v) (v).begin(), (v).end() #define debug(x) \ cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl using namespace std; typedef long long ll; typedef pair<int, int> pi; typedef V<int> vi; const int INF = 1e9 + 7; double dp[901][501][303]; signed main() { IO_OP; int n, sum = 0; cin >> n; int cnt[3] = {}; for (int i = 0; i < n; i++) { int x; cin >> x; sum += x; cnt[x - 1]++; } for (int k = 0; k * 3 <= sum; k++) for (int j = 0; k * 3 + j * 2 <= sum; j++) for (int i = 0; i + k * 3 + j * 2 <= sum; i++) { if (i == 0 && j == 0 && k == 0) { dp[i][j][k] = 0; } else { int left = n - i - j - k; double c = 1 - (double)left / n; dp[i][j][k] = (1 + (i ? dp[i - 1][j][k] : 0.) * i / n + (j ? dp[i + 1][j - 1][k] : 0.) * j / n + (k ? dp[i][j + 1][k - 1] : 0.) * k / n) / c; } } cout << fixed << setprecision(10) << dp[cnt[0]][cnt[1]][cnt[2]] << endl; }
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p03169
C++
Runtime Error
#include <iomanip> #include <iostream> using namespace std; // dp[0][0][0] = 0 // ans = dp[#{i| a[i] == 1}][][#{k|a[k] == 3}] // dp[i][j][k] = 1 + ((N - i - j - k) / N) * dp[i][j][k] + (i / N) * dp[i - // 1][j][k] + ... (i + j + k) / N * dp[i][j][k] = 1 + (i / N) * dp[i - 1][j][k] // + (j / N) * dp[i + 1][j - 1][k] + ... double dp[301][301][301]; int N; int main() { int first_cnt[4] = {}; cin >> N; for (int i = 0; i < N; i++) { int a; cin >> a; first_cnt[a]++; } for (int k = 0; k <= first_cnt[3]; k++) { for (int j = 0; j <= first_cnt[2] + first_cnt[3]; j++) { for (int i = 0; i <= N; i++) { if (i == 0 && j == 0 && k == 0) { continue; } dp[i][j][k] += 1.0 * N / (i + j + k); if (i > 0) { dp[i][j][k] += 1.0 * i / (i + j + k) * dp[i - 1][j][k]; } if (j > 0) { dp[i][j][k] += 1.0 * j / (i + j + k) * dp[i + 1][j - 1][k]; } if (k > 0) { dp[i][j][k] += 1.0 * k / (i + j + k) * dp[i][j + 1][k - 1]; } } } } cout << setprecision(10) << dp[first_cnt[1]][first_cnt[2]][first_cnt[3]] << endl; }
#include <iomanip> #include <iostream> using namespace std; // dp[0][0][0] = 0 // ans = dp[#{i| a[i] == 1}][][#{k|a[k] == 3}] // dp[i][j][k] = 1 + ((N - i - j - k) / N) * dp[i][j][k] + (i / N) * dp[i - // 1][j][k] + ... (i + j + k) / N * dp[i][j][k] = 1 + (i / N) * dp[i - 1][j][k] // + (j / N) * dp[i + 1][j - 1][k] + ... double dp[302][302][302]; int N; int main() { int first_cnt[4] = {}; cin >> N; for (int i = 0; i < N; i++) { int a; cin >> a; first_cnt[a]++; } for (int k = 0; k <= first_cnt[3]; k++) { for (int j = 0; j <= first_cnt[2] + first_cnt[3]; j++) { for (int i = 0; i <= N; i++) { if (i == 0 && j == 0 && k == 0) { continue; } dp[i][j][k] += 1.0 * N / (i + j + k); if (i > 0) { dp[i][j][k] += 1.0 * i / (i + j + k) * dp[i - 1][j][k]; } if (j > 0) { dp[i][j][k] += 1.0 * j / (i + j + k) * dp[i + 1][j - 1][k]; } if (k > 0) { dp[i][j][k] += 1.0 * k / (i + j + k) * dp[i][j + 1][k - 1]; } } } } cout << setprecision(10) << dp[first_cnt[1]][first_cnt[2]][first_cnt[3]] << endl; }
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p03169
C++
Runtime Error
#include "bits/stdc++.h" using namespace std; const int MAX_N = 100; double p[1 + MAX_N][1 + MAX_N][1 + MAX_N]; int main() { int n; scanf("%d", &n); vector<int> count(3, 0); for (int i = 0; i < n; i++) { int ai; scanf("%d", &ai); ai--; count[ai]++; } p[count[0]][count[1]][count[2]] = 1; double answer = 0; for (int three = n; three >= 0; three--) { for (int two = n; two >= 0; two--) { for (int one = n; one >= 0; one--) { int sum = one + two + three; if (sum > 0) { double waitTime = (double)n / sum; answer += p[one][two][three] * waitTime; if (two < n && three > 0) { p[one][two + 1][three - 1] += three * p[one][two][three] / sum; } if (one < n && two > 0) { p[one + 1][two - 1][three] += two * p[one][two][three] / sum; } if (one > 0) { p[one - 1][two][three] += one * p[one][two][three] / sum; } } } } } printf("%.14lf\n", answer); return 0; }
#include "bits/stdc++.h" using namespace std; const int MAX_N = 300; double p[1 + MAX_N][1 + MAX_N][1 + MAX_N]; int main() { int n; scanf("%d", &n); vector<int> count(3, 0); for (int i = 0; i < n; i++) { int ai; scanf("%d", &ai); ai--; count[ai]++; } p[count[0]][count[1]][count[2]] = 1; double answer = 0; for (int three = n; three >= 0; three--) { for (int two = n; two >= 0; two--) { for (int one = n; one >= 0; one--) { int sum = one + two + three; if (sum > 0) { double waitTime = (double)n / sum; answer += p[one][two][three] * waitTime; if (two < n && three > 0) { p[one][two + 1][three - 1] += three * p[one][two][three] / sum; } if (one < n && two > 0) { p[one + 1][two - 1][three] += two * p[one][two][three] / sum; } if (one > 0) { p[one - 1][two][three] += one * p[one][two][three] / sum; } } } } } printf("%.14lf\n", answer); return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; //.define // #define FILE_IN_OUT #define RET(_x) return cout << (_x) << '\n', 0; #define all(_obj) std::begin(_obj), std::end(_obj) #define loop(_n) for (int i = 0; i < (_n); ++i) #define ceilDiv(_dividend, _divider) \ (((_dividend)-1LL + (_divider)) / (_divider)) #define has(_obj, _val) ((_obj).find(_val) != (_obj).end()) #define sz(_obj) static_cast<int>((_obj).size()) #ifdef SHJ_LOCAL #define debug(_x) std::cerr << (#_x) << " = " << (_x) << '\n' << std::flush; #else #define debug(_x) \ {} #endif #define endl "\n" template <typename Tp> inline void outarr(Tp _begin, Tp _end, const char *_delim = " ") { for (Tp current = _begin; current != _end; ++current) { std::cout << *current << _delim; } std::cout << '\n'; } //.constant using ll = long long; using pii = std::pair<int, int>; constexpr int INF = 0x3f3f3f3f; constexpr int MOD = static_cast<const int>(1e9 + 7); //.data int cnt[3]; double dp[301][301][301]; double p[301][301][301]; //.code int main() { #ifdef FILE_IN_OUT std::ifstream cin("input.txt", std::ios::in); std::ofstream cout("output.txt", std::ios::out); #else std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); #endif int n; cin >> n; loop(n) { int x; cin >> x; ++cnt[x - 1]; } const int sum = n; p[cnt[0]][cnt[1]][cnt[2]] = 1; for (int x3 = cnt[2]; x3 >= 0; --x3) { for (int x2 = sum; x2 >= 0; --x2) { for (int x1 = sum; x1 >= 0; --x1) { if (x1 + x2 + x3 == 0) { break; } const int zero = sum - x1 - x2 - x3; double q = 1.0 * zero / sum; dp[x1][x2][x3] += p[x1][x2][x3] / (1 - q); if (x3 > 0) { double curp = 1.0 * x3 / (x1 + x2 + x3); p[x1][x2 + 1][x3 - 1] += p[x1][x2][x3] * curp; dp[x1][x2 + 1][x3 - 1] += dp[x1][x2][x3] * curp; } if (x2 > 0) { double curp = 1.0 * x2 / (x1 + x2 + x3); p[x1 + 1][x2 - 1][x3] += p[x1][x2][x3] * curp; dp[x1 + 1][x2 - 1][x3] += dp[x1][x2][x3] * curp; } if (x1 > 0) { double curp = 1.0 * x1 / (x1 + x2 + x3); p[x1 - 1][x2][x3] += p[x1][x2][x3] * curp; dp[x1 - 1][x2][x3] += dp[x1][x2][x3] * curp; } } } } cout << fixed << setprecision(15) << dp[0][0][0] << endl; #ifdef FILE_IN_OUT cin.close(); cout.close(); #endif return 0; }
#include <bits/stdc++.h> using namespace std; //.define // #define FILE_IN_OUT #define RET(_x) return cout << (_x) << '\n', 0; #define all(_obj) std::begin(_obj), std::end(_obj) #define loop(_n) for (int i = 0; i < (_n); ++i) #define ceilDiv(_dividend, _divider) \ (((_dividend)-1LL + (_divider)) / (_divider)) #define has(_obj, _val) ((_obj).find(_val) != (_obj).end()) #define sz(_obj) static_cast<int>((_obj).size()) #ifdef SHJ_LOCAL #define debug(_x) std::cerr << (#_x) << " = " << (_x) << '\n' << std::flush; #else #define debug(_x) \ {} #endif #define endl "\n" template <typename Tp> inline void outarr(Tp _begin, Tp _end, const char *_delim = " ") { for (Tp current = _begin; current != _end; ++current) { std::cout << *current << _delim; } std::cout << '\n'; } //.constant using ll = long long; using pii = std::pair<int, int>; constexpr int INF = 0x3f3f3f3f; constexpr int MOD = static_cast<const int>(1e9 + 7); //.data int cnt[3]; double dp[301][301][301]; double p[301][301][301]; //.code int main() { #ifdef FILE_IN_OUT std::ifstream cin("input.txt", std::ios::in); std::ofstream cout("output.txt", std::ios::out); #else std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); #endif int n; cin >> n; loop(n) { int x; cin >> x; ++cnt[x - 1]; } const int sum = n; p[cnt[0]][cnt[1]][cnt[2]] = 1; for (int x3 = cnt[2]; x3 >= 0; --x3) { for (int x2 = sum; x2 >= 0; --x2) { for (int x1 = sum; x1 >= 0; --x1) { if (x1 + x2 + x3 == 0 || x1 + x2 + x3 > n) { continue; } const int zero = sum - x1 - x2 - x3; double q = 1.0 * zero / sum; dp[x1][x2][x3] += p[x1][x2][x3] / (1 - q); if (x3 > 0) { double curp = 1.0 * x3 / (x1 + x2 + x3); p[x1][x2 + 1][x3 - 1] += p[x1][x2][x3] * curp; dp[x1][x2 + 1][x3 - 1] += dp[x1][x2][x3] * curp; } if (x2 > 0) { double curp = 1.0 * x2 / (x1 + x2 + x3); p[x1 + 1][x2 - 1][x3] += p[x1][x2][x3] * curp; dp[x1 + 1][x2 - 1][x3] += dp[x1][x2][x3] * curp; } if (x1 > 0) { double curp = 1.0 * x1 / (x1 + x2 + x3); p[x1 - 1][x2][x3] += p[x1][x2][x3] * curp; dp[x1 - 1][x2][x3] += dp[x1][x2][x3] * curp; } } } } cout << fixed << setprecision(15) << dp[0][0][0] << endl; #ifdef FILE_IN_OUT cin.close(); cout.close(); #endif return 0; }
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p03169
C++
Runtime Error
#include <algorithm> #include <cassert> #include <cmath> #include <cstdio> #include <cstring> #include <fstream> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <sstream> #include <string> #include <vector> using namespace std; #define REP(i, m, n) for (int i = (m); i < (int)(n); i++) #define RREP(i, m, n) for (int i = (int)(n - 1); i >= m; i--) #define rep(i, n) REP(i, 0, n) #define rrep(i, n) RREP(i, 0, n) #define all(a) (a).begin(), (a).end() #define rall(a) (a).rbegin(), (a).rend() #define aut(r, v) __typeof(v) r = (v) #define each(it, o) for (aut(it, (o).begin()); it != (o).end(); ++it) #define reach(it, o) for (aut(it, (o).rbegin()); it != (o).rend(); ++it) #define fi first #define se second #define debug(...) \ { \ cerr << "[L" << __LINE__ << "] "; \ _debug(__VA_ARGS__); \ } template <typename T1, typename T2> ostream &operator<<(ostream &o, const pair<T1, T2> &p) { return o << "(" << p.first << ", " << p.second << ")"; } template <typename T> string join(const vector<T> &v, string del = ", ") { stringstream s; rep(i, v.size()) s << del << v[i]; return s.str().substr(del.size()); } template <typename T> ostream &operator<<(ostream &o, const vector<T> &v) { if (v.size()) o << "[" << join(v) << "]"; return o; } template <typename T> ostream &operator<<(ostream &o, const vector<vector<T>> &vv) { int l = vv.size(); if (l) { o << endl; rep(i, l) { o << (i == 0 ? "[ " : ",\n ") << vv[i] << (i == l - 1 ? " ]" : ""); } } return o; } template <typename T> ostream &operator<<(ostream &o, const set<T> &st) { vector<T> v(st.begin(), st.end()); o << "{ " << join(v) << " }"; return o; } template <typename T1, typename T2> ostream &operator<<(ostream &o, const map<T1, T2> &m) { each(p, m) { o << (p == m.begin() ? "{ " : ",\n ") << *p << (p == --m.end() ? " }" : ""); } return o; } inline void _debug() { cerr << endl; } template <class First, class... Rest> void _debug(const First &first, const Rest &...rest) { cerr << first << " "; _debug(rest...); } typedef long long ll; typedef pair<int, int> pii; typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<ll> vl; typedef vector<vl> vvl; const double PI = (1 * acos(0.0)); const double INF = 0x3f3f3f3f; const double INFL = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-9; const double mod = 1e9 + 7; inline void finput(string filename) { freopen(filename.c_str(), "r", stdin); } int N; double dp[310][310][310]; double rec(int c1, int c2, int c3) { if (dp[c1][c2][c3] >= 0) return dp[c1][c2][c3]; if (c1 == 0 && c2 == 0 && c3 == 0) return 0.0; double res = 0.0; if (c1 > 0) res += rec(c1 - 1, c2, c3) * c1; if (c2 > 0) res += rec(c1 + 1, c2 - 1, c3) * c2; if (c3 > 0) res += rec(c1, c2 + 1, c3 - 1) * c3; res += N; res *= 1.0 / (c1 + c2 + c3); return dp[c1][c2][c3] = res; } int main() { ios_base::sync_with_stdio(0); // finput("./input"); cin >> N; int C[4]; rep(i, N) { int a; cin >> a; C[a]++; } memset(dp, -1, sizeof(dp)); cout << fixed << setprecision(10) << rec(C[1], C[2], C[3]) << endl; return 0; }
#include <algorithm> #include <cassert> #include <cmath> #include <cstdio> #include <cstring> #include <fstream> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <sstream> #include <string> #include <vector> using namespace std; #define REP(i, m, n) for (int i = (m); i < (int)(n); i++) #define RREP(i, m, n) for (int i = (int)(n - 1); i >= m; i--) #define rep(i, n) REP(i, 0, n) #define rrep(i, n) RREP(i, 0, n) #define all(a) (a).begin(), (a).end() #define rall(a) (a).rbegin(), (a).rend() #define aut(r, v) __typeof(v) r = (v) #define each(it, o) for (aut(it, (o).begin()); it != (o).end(); ++it) #define reach(it, o) for (aut(it, (o).rbegin()); it != (o).rend(); ++it) #define fi first #define se second #define debug(...) \ { \ cerr << "[L" << __LINE__ << "] "; \ _debug(__VA_ARGS__); \ } template <typename T1, typename T2> ostream &operator<<(ostream &o, const pair<T1, T2> &p) { return o << "(" << p.first << ", " << p.second << ")"; } template <typename T> string join(const vector<T> &v, string del = ", ") { stringstream s; rep(i, v.size()) s << del << v[i]; return s.str().substr(del.size()); } template <typename T> ostream &operator<<(ostream &o, const vector<T> &v) { if (v.size()) o << "[" << join(v) << "]"; return o; } template <typename T> ostream &operator<<(ostream &o, const vector<vector<T>> &vv) { int l = vv.size(); if (l) { o << endl; rep(i, l) { o << (i == 0 ? "[ " : ",\n ") << vv[i] << (i == l - 1 ? " ]" : ""); } } return o; } template <typename T> ostream &operator<<(ostream &o, const set<T> &st) { vector<T> v(st.begin(), st.end()); o << "{ " << join(v) << " }"; return o; } template <typename T1, typename T2> ostream &operator<<(ostream &o, const map<T1, T2> &m) { each(p, m) { o << (p == m.begin() ? "{ " : ",\n ") << *p << (p == --m.end() ? " }" : ""); } return o; } inline void _debug() { cerr << endl; } template <class First, class... Rest> void _debug(const First &first, const Rest &...rest) { cerr << first << " "; _debug(rest...); } typedef long long ll; typedef pair<int, int> pii; typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<ll> vl; typedef vector<vl> vvl; const double PI = (1 * acos(0.0)); const double INF = 0x3f3f3f3f; const double INFL = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-9; const double mod = 1e9 + 7; inline void finput(string filename) { freopen(filename.c_str(), "r", stdin); } int N; double dp[310][310][310]; double rec(int c1, int c2, int c3) { if (dp[c1][c2][c3] >= 0) return dp[c1][c2][c3]; if (c1 == 0 && c2 == 0 && c3 == 0) return 0.0; double res = 0.0; if (c1 > 0) res += rec(c1 - 1, c2, c3) * c1; if (c2 > 0) res += rec(c1 + 1, c2 - 1, c3) * c2; if (c3 > 0) res += rec(c1, c2 + 1, c3 - 1) * c3; res += N; res *= 1.0 / (c1 + c2 + c3); return dp[c1][c2][c3] = res; } int main() { ios_base::sync_with_stdio(0); // finput("./input"); cin >> N; int C[4]; memset(C, 0, sizeof(C)); rep(i, N) { int a; cin >> a; C[a]++; } memset(dp, -1, sizeof(dp)); cout << fixed << setprecision(10) << rec(C[1], C[2], C[3]) << endl; return 0; }
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p03169
C++
Runtime Error
// Radhe Radhe #include <bits/stdc++.h> // #include<boost/multiprecision/cpp_int.hpp> // using namespace boost::multiprecision; // #include<boost/math/common_factor.hpp> // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> // using namespace __gnu_pbds; #include <ext/numeric> using namespace __gnu_cxx; using namespace std; #define int long long #define endl "\n" #define F first #define S second #define pb push_back #define mp make_pair #define array(a, n) \ int a[n]; \ for (int i = 0; i < n; i++) \ cin >> a[i]; #define loop(i, a, b, x) for (int i = a; i < b; i += x) const int MOD = 1000000007; int N; long double dp[305][305][305]; long double rec(int i, int j, int k) { if (i == 0 && j == 0 && k == 0) return dp[0][0][0]; if (dp[i][j][k] != 0) return dp[i][j][k]; long double res = 0.0; if (i > 0) res += rec(i - 1, j, k) * i; if (j > 0) res += rec(i + 1, j - 1, k) * j; if (k > 0) res += rec(i, j + 1, k - 1) * k; res += (long double)N; res /= (long double)(i + j + k); dp[i][j][k] = res; return res; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif int t = 1; // cin >> t; while (t--) { cin >> N; int one = 0, two = 0, three = 0; for (int i = 0; i < N; i++) { int x; cin >> x; if (x == 1) one++; else if (x == 2) two++; else three++; } memset(dp, 0, sizeof(dp)); long double ans = rec(one, two, three); cout << setprecision(20) << ans << endl; } return 0; }
// Radhe Radhe #include <bits/stdc++.h> // #include<boost/multiprecision/cpp_int.hpp> // using namespace boost::multiprecision; // #include<boost/math/common_factor.hpp> // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> // using namespace __gnu_pbds; #include <ext/numeric> using namespace __gnu_cxx; using namespace std; #define int long long #define endl "\n" #define F first #define S second #define pb push_back #define mp make_pair #define array(a, n) \ int a[n]; \ for (int i = 0; i < n; i++) \ cin >> a[i]; #define loop(i, a, b, x) for (int i = a; i < b; i += x) const int MOD = 1000000007; int N; long double dp[305][305][305]; long double rec(int i, int j, int k) { if (i == 0 && j == 0 && k == 0) return dp[0][0][0]; if (dp[i][j][k] != 0) return dp[i][j][k]; long double res = 0.0; if (i > 0) res += rec(i - 1, j, k) * i; if (j > 0) res += rec(i + 1, j - 1, k) * j; if (k > 0) res += rec(i, j + 1, k - 1) * k; res += (long double)N; res /= (long double)(i + j + k); dp[i][j][k] = res; return res; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); int t = 1; // cin >> t; while (t--) { cin >> N; int one = 0, two = 0, three = 0; for (int i = 0; i < N; i++) { int x; cin >> x; if (x == 1) one++; else if (x == 2) two++; else three++; } memset(dp, 0, sizeof(dp)); long double ans = rec(one, two, three); cout << setprecision(20) << ans << endl; } return 0; }
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p03169
C++
Time Limit Exceeded
#include <algorithm> #include <iomanip> #include <iostream> #include <utility> #include <vector> using namespace std; int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(0); unsigned N; std::cin >> N; vector<vector<vector<double>>> dp( N + 2, vector<vector<double>>(N + 2, vector<double>(N + 2, 0.0))); vector<int> vals(4, 0); for (int i = 0; i < N; ++i) { int x; std::cin >> x; vals[x] += 1; } int max = vals[1] + vals[2] + vals[3]; for (int z = 0; z <= max; ++z) { for (int y = 0; y <= max; ++y) { for (int x = 0; x <= max; ++x) { if (!x && !y && !z) { dp[0][0][0] = 0.0; continue; } double sum = N; if (x > 0) sum += x * dp[x - 1][y][z]; if (y > 0) sum += y * dp[x + 1][y - 1][z]; if (z > 0) sum += z * dp[x][y + 1][z - 1]; dp[x][y][z] = sum / (x + y + z); if (x == vals[1] && y == vals[2] && z == vals[3]) { std::cout << std::setprecision(20) << dp[x][y][z]; return 0; } } } } return 0; }
#include <algorithm> #include <iomanip> #include <iostream> #include <utility> #include <vector> using namespace std; int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(0); unsigned N; std::cin >> N; vector<vector<vector<double>>> dp( N + 2, vector<vector<double>>(N + 2, vector<double>(N + 2, 0.0))); vector<int> vals(4, 0); for (int i = 0; i < N; ++i) { int x; std::cin >> x; vals[x] += 1; } for (int z = 0; z <= vals[3]; ++z) { for (int y = 0; y <= vals[2] + vals[3]; ++y) { for (int x = 0; x <= vals[1] + vals[2] + vals[3]; ++x) { if (x + y + z == 0) { dp[0][0][0] = 0.0; continue; } double sum = N; if (x > 0) sum += x * dp[x - 1][y][z]; if (y > 0) sum += y * dp[x + 1][y - 1][z]; if (z > 0) sum += z * dp[x][y + 1][z - 1]; dp[x][y][z] = sum / (x + y + z); if (x == vals[1] && y == vals[2] && z == vals[3]) { std::cout << std::setprecision(20) << dp[x][y][z]; return 0; } } } } return 0; }
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p03169
C++
Runtime Error
#include <algorithm> #include <bits/stdc++.h> #include <cmath> #include <functional> #include <iostream> #include <map> #include <queue> #include <set> #include <string> #include <vector> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef pair<ull, ull> pullull; typedef pair<ll, int> plli; typedef pair<int, pii> pipii; typedef vector<vector<int>> mati; typedef vector<vector<double>> matd; typedef vector<ll> vll; typedef vector<vector<ll>> vvll; #define rep(i, x, y) for (int i = (x); i < (y); ++i) template <typename T> void vec_print(vector<T> VEC) { rep(i, 0, VEC.size()) { cout << VEC[i] << " "; } cout << "\n"; }; template <typename T> void mat_print(vector<vector<T>> MAT){ rep(i, 0, MAT.size()){rep(j, 0, MAT[i].size()){cout << MAT[i][j] << " "; } cout << "\n"; } } ; template <typename CLASS1, typename CLASS2> class HOGE { public: CLASS1 key; CLASS2 value; HOGE(ll key, ll value) { this->key = index; this->value = value; }; ~HOGE(void) { return; }; void print(void) { cout << "key : " << key << ", value : " << value << "\n"; return; }; bool operator==(const HOGE &obj) { return (this->value == obj.value); }; bool operator<(const HOGE &obj) { return (this->value < obj.value); }; bool operator>(const HOGE &obj) { return (this->value > obj.value); }; }; constexpr int INF = (1 << 30); constexpr ll INFLL = 1LL << 62; constexpr long double EPS = 1e-12; double exp_value(ll D1, ll D2, ll D3, ll N, vector<vector<vector<double>>> &dp) { if (D1 < 0 || D2 < 0 || D3 < 0) return (double)0.0; if (D1 == 0 && D2 == 0 && D3 == 0) return (double)0.0; if (dp[D1][D2][D3] >= -0.5) return dp[D1][D2][D3]; /* exp_value(D1, D2, D3, N, dp) = (N-D1-D2-D3)*exp_value(D1, D2, D3, N, dp)/N + D1*exp_value(D1-1, D2, D3, N, dp)/N + D2*exp_value(D1+1, D2-1, D3, N, dp)/N + D3*exp_value(D1, D2+1, D3-1, N, dp)/N + 1 */ ll sum = D1 + D2 + D3; double tmp1 = (double)D1 * exp_value(D1 - 1, D2, D3, N, dp) / sum; double tmp2 = (double)D2 * exp_value(D1 + 1, D2 - 1, D3, N, dp) / sum; double tmp3 = (double)D3 * exp_value(D1, D2 + 1, D3 - 1, N, dp) / sum; return dp[D1][D2][D3] = tmp1 + tmp2 + tmp3 + (double)N / sum; } int main() { cin.tie(0); // cut the cin and cout (default, std::flush is performed after // std::cin) ios::sync_with_stdio( false); // cut the iostream and stdio (DON'T endl; BUT "\n";) ll N; cin >> N; vll Dishes(4, 0); ll a; rep(i, 0, N) { cin >> a; ++Dishes[a]; } vector<vector<vector<double>>> dp( 300, vector<vector<double>>(300, vector<double>(300, -1.0))); printf("%.10lf\n", exp_value(Dishes[1], Dishes[2], Dishes[3], N, dp)); return 0; }
#include <algorithm> #include <bits/stdc++.h> #include <cmath> #include <functional> #include <iostream> #include <map> #include <queue> #include <set> #include <string> #include <vector> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef pair<ull, ull> pullull; typedef pair<ll, int> plli; typedef pair<int, pii> pipii; typedef vector<vector<int>> mati; typedef vector<vector<double>> matd; typedef vector<ll> vll; typedef vector<vector<ll>> vvll; #define rep(i, x, y) for (int i = (x); i < (y); ++i) template <typename T> void vec_print(vector<T> VEC) { rep(i, 0, VEC.size()) { cout << VEC[i] << " "; } cout << "\n"; }; template <typename T> void mat_print(vector<vector<T>> MAT){ rep(i, 0, MAT.size()){rep(j, 0, MAT[i].size()){cout << MAT[i][j] << " "; } cout << "\n"; } } ; template <typename CLASS1, typename CLASS2> class HOGE { public: CLASS1 key; CLASS2 value; HOGE(ll key, ll value) { this->key = index; this->value = value; }; ~HOGE(void) { return; }; void print(void) { cout << "key : " << key << ", value : " << value << "\n"; return; }; bool operator==(const HOGE &obj) { return (this->value == obj.value); }; bool operator<(const HOGE &obj) { return (this->value < obj.value); }; bool operator>(const HOGE &obj) { return (this->value > obj.value); }; }; constexpr int INF = (1 << 30); constexpr ll INFLL = 1LL << 62; constexpr long double EPS = 1e-12; double exp_value(ll D1, ll D2, ll D3, ll N, vector<vector<vector<double>>> &dp) { if (D1 < 0 || D2 < 0 || D3 < 0) return (double)0.0; if (D1 == 0 && D2 == 0 && D3 == 0) return (double)0.0; if (dp[D1][D2][D3] >= -0.5) return dp[D1][D2][D3]; /* exp_value(D1, D2, D3, N, dp) = (N-D1-D2-D3)*exp_value(D1, D2, D3, N, dp)/N + D1*exp_value(D1-1, D2, D3, N, dp)/N + D2*exp_value(D1+1, D2-1, D3, N, dp)/N + D3*exp_value(D1, D2+1, D3-1, N, dp)/N + 1 */ ll sum = D1 + D2 + D3; double tmp1 = (double)D1 * exp_value(D1 - 1, D2, D3, N, dp) / sum; double tmp2 = (double)D2 * exp_value(D1 + 1, D2 - 1, D3, N, dp) / sum; double tmp3 = (double)D3 * exp_value(D1, D2 + 1, D3 - 1, N, dp) / sum; return dp[D1][D2][D3] = tmp1 + tmp2 + tmp3 + (double)N / sum; } int main() { cin.tie(0); // cut the cin and cout (default, std::flush is performed after // std::cin) ios::sync_with_stdio( false); // cut the iostream and stdio (DON'T endl; BUT "\n";) ll N; cin >> N; vll Dishes(4, 0); ll a; rep(i, 0, N) { cin >> a; ++Dishes[a]; } vector<vector<vector<double>>> dp( Dishes[1] + Dishes[2] + Dishes[3] + 1, vector<vector<double>>(Dishes[2] + Dishes[3] + 1, vector<double>(Dishes[3] + 1, -1.0))); printf("%.10lf\n", exp_value(Dishes[1], Dishes[2], Dishes[3], N, dp)); return 0; }
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terminate called after throwing an instance of 'std::bad_alloc' what(): std::bad_alloc
p03169
C++
Runtime Error
// KiSmAt #include "bits/stdc++.h" using namespace std; using ll = long long; using ld = long double; const ll inf = 1e18; const int N = 2 * 1e2 + 10; ll res; ll a[N], h[5]; ld dp[N][N][N]; void solve() { ll n, x; cin >> n; for (int i = 0; i < n; ++i) { cin >> x; ++h[x]; } for (int k = 0; k < N; ++k) { for (int j = 0; j + k < N; ++j) { for (int i = 0; i + j + k < N; ++i) { if (i + j + k == 0) continue; if (i + j + k > n) continue; ld pi = 1.0 * i / (i + j + k); ld pj = 1.0 * j / (i + j + k); ld pk = 1.0 * k / (i + j + k); dp[i][j][k] = 1.0 * n / (i + j + k); if (i) dp[i][j][k] += pi * dp[i - 1][j][k]; if (j) dp[i][j][k] += pj * dp[i + 1][j - 1][k]; if (k) dp[i][j][k] += pk * dp[i][j + 1][k - 1]; } } } cout << fixed << setprecision(10) << dp[h[1]][h[2]][h[3]]; } int main(int argc, char const *argv[]) { ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL); ll t = 1; // cin >> t; while (t--) { solve(); } } // nEro
// KiSmAt #include "bits/stdc++.h" using namespace std; using ll = long long; using ld = long double; const ll inf = 1e18; const int N = 3 * 1e2 + 10; ll res; ll a[N], h[5]; ld dp[N][N][N]; void solve() { ll n, x; cin >> n; for (int i = 0; i < n; ++i) { cin >> x; ++h[x]; } for (int k = 0; k < N; ++k) { for (int j = 0; j + k < N; ++j) { for (int i = 0; i + j + k < N; ++i) { if (i + j + k == 0) continue; if (i + j + k > n) continue; ld pi = 1.0 * i / (i + j + k); ld pj = 1.0 * j / (i + j + k); ld pk = 1.0 * k / (i + j + k); dp[i][j][k] = 1.0 * n / (i + j + k); if (i) dp[i][j][k] += pi * dp[i - 1][j][k]; if (j) dp[i][j][k] += pj * dp[i + 1][j - 1][k]; if (k) dp[i][j][k] += pk * dp[i][j + 1][k - 1]; } } } cout << fixed << setprecision(10) << dp[h[1]][h[2]][h[3]]; } int main(int argc, char const *argv[]) { ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL); ll t = 1; // cin >> t; while (t--) { solve(); } } // nEro
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p03169
C++
Runtime Error
#include <bits/stdc++.h> #define mx 1000000007 #define db double using namespace std; db dp[100 + 1][100 + 1][100 + 1] = {0}, n; db solve(int c1, int c2, int c3) { if (dp[c1][c2][c3] != 0) return dp[c1][c2][c3]; if (c1 == 0 && c2 == 0 && c3 == 0) return dp[c1][c2][c3] = 0; db j = 0, k = 0, l = 0, sum = c1 + c2 + c3; if (c1 != 0) { j = (c1 / sum) * solve(c1 - 1, c2, c3); } if (c2 != 0) { k = (c2 / sum) * solve(c1 + 1, c2 - 1, c3); } if (c3 != 0) { l = (c3 / sum) * solve(c1, c2 + 1, c3 - 1); } dp[c1][c2][c3] = (n / (sum)) + j + k + l; return dp[c1][c2][c3]; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int c1 = 0, c2 = 0, c3 = 0; int sz; cin >> sz; n = sz; int p[sz + 1]; for (int i = 1; i <= sz; ++i) { cin >> p[i]; if (p[i] == 1) ++c1; if (p[i] == 2) ++c2; if (p[i] == 3) ++c3; } cout << fixed << setprecision(15) << solve(c1, c2, c3); return 0; }
#include <bits/stdc++.h> #define mx 1000000007 #define db double using namespace std; db dp[301][301][301] = {0}, n; db solve(int c1, int c2, int c3) { if (dp[c1][c2][c3] != 0) return dp[c1][c2][c3]; if (c1 == 0 && c2 == 0 && c3 == 0) return dp[c1][c2][c3] = 0; db j = 0, k = 0, l = 0, sum = c1 + c2 + c3; if (c1 != 0) { j = (c1 / sum) * solve(c1 - 1, c2, c3); } if (c2 != 0) { k = (c2 / sum) * solve(c1 + 1, c2 - 1, c3); } if (c3 != 0) { l = (c3 / sum) * solve(c1, c2 + 1, c3 - 1); } dp[c1][c2][c3] = (n / (sum)) + j + k + l; return dp[c1][c2][c3]; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int c1 = 0, c2 = 0, c3 = 0; int sz; cin >> sz; n = sz; int p[sz + 1]; for (int i = 1; i <= sz; ++i) { cin >> p[i]; if (p[i] == 1) ++c1; if (p[i] == 2) ++c2; if (p[i] == 3) ++c3; } cout << fixed << setprecision(15) << solve(c1, c2, c3); return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; double dp[301][301][301]; double solve(int x, int y, int z, int &n) { if (x < 0 || y < 0 || z < 0) { return 0; } if (dp[x][y][z] > -0.9) { return dp[x][y][z]; } if (x == 0 && y == 0 && z == 0) { return 0; } double exp = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = (exp) / (x + y + z); } int main() { int n; cin >> n; int one, two, three; memset(dp, -1, sizeof(dp)); for (int i = 0; i < n; i++) { int x; cin >> x; if (x == 1) { one++; } else if (x == 2) { two++; } else if (x == 3) { three++; } } cout << fixed << setprecision(10) << solve(one, two, three, n); }
#include <bits/stdc++.h> using namespace std; double dp[301][301][301]; double solve(int x, int y, int z, int &n) { if (x < 0 || y < 0 || z < 0) { return 0; } if (dp[x][y][z] > -0.9) { return dp[x][y][z]; } if (x == 0 && y == 0 && z == 0) { return 0; } double exp = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = (exp) / (x + y + z); } int main() { int n; cin >> n; int one = 0, two = 0, three = 0; memset(dp, -1, sizeof(dp)); for (int i = 0; i < n; i++) { int x; cin >> x; if (x == 1) { one++; } else if (x == 2) { two++; } else if (x == 3) { three++; } } cout << fixed << setprecision(10) << solve(one, two, three, n); }
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p03169
C++
Runtime Error
#include <iomanip> #include <iostream> #include <vector> using namespace std; int main() { int N; cin >> N; vector<int> a(N); for (int i = 0; i < N; ++i) cin >> a[i]; vector<int> numSushi(4); int total = 0; for (int i = 0; i < N; ++i) { ++numSushi[a[i]]; total += a[i]; } // dp[i][j][k]: 寿司が1個, 2個, 3個の皿が i枚, j枚, // k枚のとき、全ての寿司を食べるのに必要な操作回数の期待値 double dp[31][31][301] = {}; for (int k = 0; k <= N; ++k) { for (int j = 0; j <= N; ++j) { for (int i = 0; i <= N; ++i) { if (0 < i + j + k and i + j + k <= N) { if (i != 0) dp[i][j][k] += dp[i - 1][j][k] * i; if (j != 0) dp[i][j][k] += dp[i + 1][j - 1][k] * j; if (k != 0) dp[i][j][k] += dp[i][j + 1][k - 1] * k; dp[i][j][k] = (dp[i][j][k] + N) / (i + j + k); } } } } cout << fixed << setprecision(9) << dp[numSushi[1]][numSushi[2]][numSushi[3]] << endl; return 0; }
#include <iomanip> #include <iostream> #include <vector> using namespace std; int main() { int N; cin >> N; vector<int> a(N); for (int i = 0; i < N; ++i) cin >> a[i]; vector<int> numSushi(4); int total = 0; for (int i = 0; i < N; ++i) { ++numSushi[a[i]]; total += a[i]; } // dp[i][j][k]: 寿司が1個, 2個, 3個の皿が i枚, j枚, // k枚のとき、全ての寿司を食べるのに必要な操作回数の期待値 double dp[301][301][301] = {}; for (int k = 0; k <= N; ++k) { for (int j = 0; j <= N; ++j) { for (int i = 0; i <= N; ++i) { if (0 < i + j + k and i + j + k <= N) { if (i != 0) dp[i][j][k] += dp[i - 1][j][k] * i; if (j != 0) dp[i][j][k] += dp[i + 1][j - 1][k] * j; if (k != 0) dp[i][j][k] += dp[i][j + 1][k - 1] * k; dp[i][j][k] = (dp[i][j][k] + N) / (i + j + k); } } } } cout << fixed << setprecision(9) << dp[numSushi[1]][numSushi[2]][numSushi[3]] << endl; return 0; }
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p03169
C++
Runtime Error
#include <iostream> using namespace std; int sum[4]; double dp[31][31][2]; int main() { int N; scanf("%d", &N); for (int i = 0; i < N; i++) { int a; scanf("%d", &a); sum[a]++; } double fail; for (int k = 0; k <= sum[3]; k++) for (int j = 0; j <= sum[3] + sum[2] - k; j++) for (int i = 0; i <= N - j - k; i++) { fail = 1.0 / (1 - (double)(N - i - j - k) / N); double divis = (i + j + k); dp[i][j][k % 2] = 0; if (i) { dp[i][j][k % 2] += i / divis * (dp[i - 1][j][k % 2]); } if (j) dp[i][j][k % 2] += j / divis * (dp[i + 1][j - 1][k % 2]); if (k) dp[i][j][k % 2] += k / divis * (dp[i][j + 1][(k + 1) % 2]); if (i + j + k) dp[i][j][k % 2] += fail; } printf("%.9lf\n", dp[sum[1]][sum[2]][sum[3] % 2]); }
#include <iostream> using namespace std; int sum[4]; double dp[301][301][2]; int main() { int N; scanf("%d", &N); for (int i = 0; i < N; i++) { int a; scanf("%d", &a); sum[a]++; } double fail; for (int k = 0; k <= sum[3]; k++) for (int j = 0; j <= sum[3] + sum[2] - k; j++) for (int i = 0; i <= N - j - k; i++) { fail = 1.0 / (1 - (double)(N - i - j - k) / N); double divis = (i + j + k); dp[i][j][k % 2] = 0; if (i) { dp[i][j][k % 2] += i / divis * (dp[i - 1][j][k % 2]); } if (j) dp[i][j][k % 2] += j / divis * (dp[i + 1][j - 1][k % 2]); if (k) dp[i][j][k % 2] += k / divis * (dp[i][j + 1][(k + 1) % 2]); if (i + j + k) dp[i][j][k % 2] += fail; } printf("%.9lf\n", dp[sum[1]][sum[2]][sum[3] % 2]); }
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0
p03169
C++
Runtime Error
#include <iostream> using namespace std; int sum[4]; double dp[31][31][31]; int main() { int N; scanf("%d", &N); for (int i = 0; i < N; i++) { int a; scanf("%d", &a); sum[a]++; } double fail; for (int k = 0; k <= sum[3]; k++) for (int j = 0; j <= sum[3] + sum[2] - k; j++) for (int i = 0; i <= N - j - k; i++) { fail = 1.0 / (1 - (double)(N - i - j - k) / N); double divis = (i + j + k); if (i) { dp[i][j][k] += i / divis * (dp[i - 1][j][k]); } if (j) dp[i][j][k] += j / divis * (dp[i + 1][j - 1][k]); if (k) dp[i][j][k] += k / divis * (dp[i][j + 1][k - 1]); if (i + j + k) dp[i][j][k] += fail; } printf("%.9lf\n", dp[sum[1]][sum[2]][sum[3]]); }
#include <iostream> using namespace std; int sum[4]; double dp[301][301][301]; int main() { int N; scanf("%d", &N); for (int i = 0; i < N; i++) { int a; scanf("%d", &a); sum[a]++; } double fail; for (int k = 0; k <= sum[3]; k++) for (int j = 0; j <= sum[3] + sum[2] - k; j++) for (int i = 0; i <= N - j - k; i++) { fail = 1.0 / (1 - (double)(N - i - j - k) / N); double divis = (i + j + k); if (i) { dp[i][j][k] += i / divis * (dp[i - 1][j][k]); } if (j) dp[i][j][k] += j / divis * (dp[i + 1][j - 1][k]); if (k) dp[i][j][k] += k / divis * (dp[i][j + 1][k - 1]); if (i + j + k) dp[i][j][k] += fail; } printf("%.9lf\n", dp[sum[1]][sum[2]][sum[3]]); }
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0
p03169
C++
Runtime Error
#include <bits/stdc++.h> #define ll long long int using namespace std; #define MEM(a, b) memset(a, (b), sizeof(a)) double dp[303][303][303] = {}; double dfs(int i, int j, int k, int n) { // if(dp[i][j][k]!=-1) return dp[i][j][k]; if ((i < 0) || (j < 0) || (k < 0)) return 0; else if ((i == 0) && (j == 0) && (k == 0)) return dp[i][j][k] = 0; else if (dp[i][j][k] != -1) return dp[i][j][k]; return dp[i][j][k] = ((double)n / (i + j + k)) + ((((double)i) / (i + j + k) * (dfs(i - 1, j, k, n))) + (((double)j) / (i + j + k) * (dfs(i + 1, j - 1, k, n))) + (((double)k) / (i + j + k) * (dfs(i, j + 1, k - 1, n)))); return 0; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); // MEM(dp,-1); for (int i = 0; i <= 303; i++) for (int j = 0; j < 303; j++) for (int k = 0; k < 303; k++) dp[i][j][k] = -1; int i, n; cin >> n; int a = 0, b = 0, c = 0, z = 0, count[4] = {}; for (i = 0; i < n; i++) { cin >> z; if (z == 1) a++; if (z == 2) b++; if (z == 3) c++; } double ans = dfs(a, b, c, n); cout << fixed << setprecision(12) << ans; }
#include <bits/stdc++.h> #define ll long long int using namespace std; #define MEM(a, b) memset(a, (b), sizeof(a)) double dp[303][303][303] = {}; double dfs(int i, int j, int k, int n) { // if(dp[i][j][k]!=-1) return dp[i][j][k]; if ((i < 0) || (j < 0) || (k < 0)) return 0; else if ((i == 0) && (j == 0) && (k == 0)) return dp[i][j][k] = 0; else if (dp[i][j][k] != -1) return dp[i][j][k]; return dp[i][j][k] = ((double)n / (i + j + k)) + ((((double)i) / (i + j + k) * (dfs(i - 1, j, k, n))) + (((double)j) / (i + j + k) * (dfs(i + 1, j - 1, k, n))) + (((double)k) / (i + j + k) * (dfs(i, j + 1, k - 1, n)))); return 0; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); // MEM(dp,-1); for (int i = 0; i < 303; i++) for (int j = 0; j < 303; j++) for (int k = 0; k < 303; k++) dp[i][j][k] = -1; int i, n; cin >> n; int a = 0, b = 0, c = 0, z = 0, count[4] = {}; for (i = 0; i < n; i++) { cin >> z; if (z == 1) a++; if (z == 2) b++; if (z == 3) c++; } double ans = dfs(a, b, c, n); cout << fixed << setprecision(12) << ans; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; #define ll long long int #define ulli unsigned long long int #define ld long double #define fi first #define se second #define pb push_back #define mp make_pair #define loop(i, a, b) for (ll i = a; i < b; i++) #define initialize(array, size, value) \ for (ll i = 0; i < size; i++) \ array[i] = value #define couta(array, size) \ for (lli i = 0; i < size; i++) \ cout << array[i] << " " #define vl vector<ll> #define vp vector<pair<ll, ll>> #define sl set<ll> #define msp multiset<pair<long long, long long>> S; #define pll pair<ll, ll> #define mll \ map<lli, \ lli> // for( map<lli, lli>::iterator // i=temp.begin();i!=temp.end();i++)cout<<i->fi<<" "<<i->se<<endl; #define mvl map<lli, vl> #define umll unordered_map<lli, lli> #define vt vector<pair<lli, pll>> #define vf vector<pair<pll, pll>> #define qu queue<lli> #define pq priority_queue<lli> #define dq deque<lli> #define ptr vector<lli>::iterator #define bs(array, x) \ binary_search(array.begin(), array.end(), \ x) // also valid for set and multiset #define lb(array, x) lower_bound(array.begin(), array.end(), x) #define ub(array, x) upper_bound(array.begin(), array.end(), x) #define nobw(array, i, j) \ upper_bound(array.begin(), array.end(), j) - \ lower_bound(array.begin(), array.end(), \ i) // number of numbers between i & j #define vc clear() #define endl '\n' #define sp system("pause"); #define INF 9223372036854775807 #define MINF -9223372036854775808 typedef tree<pll, null_type, less<pll>, rb_tree_tag, tree_order_statistics_node_update> indexed_set; ll n; ll a[305]; ld dp[302][302][302]; ld f(ll b, ll c, ll d) { // cout<<"call "<<b<<" "<<c<<" "<<d<<endl; ld aa = n - b - c - d; if (b < 0 || c < 0 || d < 0 || n - b - c - d < 0) return 0; else if (aa == n) { return 0; } else if (dp[b][c][d] != 0) { return dp[b][c][d]; } else { ld ans = 0; ld x = (ld)b / (ld)n; ld y = (ld)c / (ld)n; ld z = (ld)d / (ld)n; ans = 1 + x * f(b - 1, c, d) + y * f(b + 1, c - 1, d) + z * f(b, c + 1, d - 1); ans = ans / ((ld)1 - (aa / (ld)n)); return dp[b][c][d] = ans; } } int main() { ios::sync_with_stdio(0); cin.tie(0); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif // ll n; cin >> n; // ll a[n]; ll c0 = 0, c1 = 0, c2 = 0, c3 = 0; loop(i, 0, n) { cin >> a[i]; if (a[i] == 0) c0++; else if (a[i] == 1) c1++; else if (a[i] == 2) c2++; else if (a[i] == 3) c3++; } memset(dp, 0, sizeof dp); // cout<<c0<<" "<<c1<<" "<<c2<<" "<<c3<<endl; cout << fixed << setprecision(15) << f(c1, c2, c3) << endl; }
#include <bits/stdc++.h> using namespace std; #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; #define ll long long int #define ulli unsigned long long int #define ld long double #define fi first #define se second #define pb push_back #define mp make_pair #define loop(i, a, b) for (ll i = a; i < b; i++) #define initialize(array, size, value) \ for (ll i = 0; i < size; i++) \ array[i] = value #define couta(array, size) \ for (lli i = 0; i < size; i++) \ cout << array[i] << " " #define vl vector<ll> #define vp vector<pair<ll, ll>> #define sl set<ll> #define msp multiset<pair<long long, long long>> S; #define pll pair<ll, ll> #define mll \ map<lli, \ lli> // for( map<lli, lli>::iterator // i=temp.begin();i!=temp.end();i++)cout<<i->fi<<" "<<i->se<<endl; #define mvl map<lli, vl> #define umll unordered_map<lli, lli> #define vt vector<pair<lli, pll>> #define vf vector<pair<pll, pll>> #define qu queue<lli> #define pq priority_queue<lli> #define dq deque<lli> #define ptr vector<lli>::iterator #define bs(array, x) \ binary_search(array.begin(), array.end(), \ x) // also valid for set and multiset #define lb(array, x) lower_bound(array.begin(), array.end(), x) #define ub(array, x) upper_bound(array.begin(), array.end(), x) #define nobw(array, i, j) \ upper_bound(array.begin(), array.end(), j) - \ lower_bound(array.begin(), array.end(), \ i) // number of numbers between i & j #define vc clear() #define endl '\n' #define sp system("pause"); #define INF 9223372036854775807 #define MINF -9223372036854775808 typedef tree<pll, null_type, less<pll>, rb_tree_tag, tree_order_statistics_node_update> indexed_set; ll n; ll a[305]; ld dp[302][302][302]; ld f(ll b, ll c, ll d) { // cout<<"call "<<b<<" "<<c<<" "<<d<<endl; ld aa = n - b - c - d; if (b < 0 || c < 0 || d < 0 || n - b - c - d < 0) return 0; else if (aa == n) { return 0; } else if (dp[b][c][d] != 0) { return dp[b][c][d]; } else { ld ans = 0; ld x = (ld)b / (ld)n; ld y = (ld)c / (ld)n; ld z = (ld)d / (ld)n; ans = 1 + x * f(b - 1, c, d) + y * f(b + 1, c - 1, d) + z * f(b, c + 1, d - 1); ans = ans / ((ld)1 - (aa / (ld)n)); return dp[b][c][d] = ans; } } int main() { ios::sync_with_stdio(0); cin.tie(0); /* #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif */ // ll n; cin >> n; // ll a[n]; ll c0 = 0, c1 = 0, c2 = 0, c3 = 0; loop(i, 0, n) { cin >> a[i]; if (a[i] == 0) c0++; else if (a[i] == 1) c1++; else if (a[i] == 2) c2++; else if (a[i] == 3) c3++; } memset(dp, 0, sizeof dp); // cout<<c0<<" "<<c1<<" "<<c2<<" "<<c3<<endl; cout << fixed << setprecision(15) << f(c1, c2, c3) << endl; }
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p03169
C++
Memory Limit Exceeded
#include <bits/stdc++.h> #define fr(i, n) for (int i = 0; i < n; i++) #define frab(i, a, b) for (int i = a; i < b; i++) #define pb push_back using namespace std; typedef long long ll; typedef long double ld; typedef vector<vector<ll>> mat; const ll MOD = 1e9 + 7; const ll INF = 2e15 + 10; const ll MAX = 1e14 + 10; const ld EPS = 1e-9; const int N = 302; const int M = 110; ld d[N * 3][N * 3 / 2][N]; int cnt[N]; int a[N * 2]; void solve() { int n; cin >> n; fr(i, n) { cin >> a[i]; cnt[a[i]]++; } ld k = n; int ssum = accumulate(a, a + n, 0); d[0][0][0] = 0; for (int sum = 1; sum <= ssum; sum++) for (int c1 = 0; c1 <= sum; c1++) for (int c2 = 0; 2 * c2 <= sum; c2++) { int c3 = (sum - c1 - 2 * c2) / 3; if (c3 < 0 || (sum - c1 - 2 * c2) % 3) continue; d[c1][c2][c3] = ((c1 ? (c1 / k) * d[c1 - 1][c2][c3] : 0) + (c2 ? (c2 / k) * d[c1 + 1][c2 - 1][c3] : 0) + (c3 ? (c3 / k) * d[c1][c2 + 1][c3 - 1] : 0) + 1) / (c1 + c2 + c3) * (ld)(n); } cout << fixed << setprecision(12) << d[cnt[1]][cnt[2]][cnt[3]]; } int main() { // freopen("a.in", "r", stdin); ios_base::sync_with_stdio(false); solve(); }
#include <bits/stdc++.h> #define fr(i, n) for (int i = 0; i < n; i++) #define frab(i, a, b) for (int i = a; i < b; i++) #define pb push_back using namespace std; typedef long long ll; typedef double ld; typedef vector<vector<ll>> mat; const ll MOD = 1e9 + 7; const ll INF = 2e15 + 10; const ll MAX = 1e14 + 10; const ld EPS = 1e-9; const int N = 302; const int M = 110; ld d[N * 3][N * 3 / 2][N]; int cnt[N]; int a[N * 2]; void solve() { int n; cin >> n; fr(i, n) { cin >> a[i]; cnt[a[i]]++; } ld k = n; int ssum = accumulate(a, a + n, 0); d[0][0][0] = 0; for (int sum = 1; sum <= ssum; sum++) for (int c1 = 0; c1 <= sum; c1++) for (int c2 = 0; 2 * c2 <= sum; c2++) { int c3 = (sum - c1 - 2 * c2) / 3; if (c3 < 0 || (sum - c1 - 2 * c2) % 3) continue; d[c1][c2][c3] = ((c1 ? (c1 / k) * d[c1 - 1][c2][c3] : 0) + (c2 ? (c2 / k) * d[c1 + 1][c2 - 1][c3] : 0) + (c3 ? (c3 / k) * d[c1][c2 + 1][c3 - 1] : 0) + 1) / (c1 + c2 + c3) * (ld)(n); } cout << fixed << setprecision(12) << d[cnt[1]][cnt[2]][cnt[3]]; } int main() { // freopen("a.in", "r", stdin); ios_base::sync_with_stdio(false); solve(); }
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MLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> #define maxn 302 using namespace std; typedef double db; db dp[maxn][maxn][maxn]; int n, k, cnt[4]; int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> k; cnt[k]++; } for (int sum = 1; sum <= 3 * n; sum++) for (int k = 0; k * 3 <= sum; k++) for (int j = 0; j * 2 + k * 3 <= sum; j++) { int i = sum - j * 2 - k * 3; if (i > 0) dp[i][j][k] += (db)i / (i + j + k) * dp[i - 1][j][k]; if (j > 0) dp[i][j][k] += (db)j / (i + j + k) * dp[i + 1][j - 1][k]; if (k > 0) dp[i][j][k] += (db)k / (i + j + k) * dp[i][j + 1][k - 1]; dp[i][j][k] += (db)n / (i + j + k); } printf("%.13f\n", dp[cnt[1]][cnt[2]][cnt[3]]); }
#include <bits/stdc++.h> #define maxn 302 using namespace std; typedef double db; db dp[maxn][maxn][maxn]; int n, k, cnt[4]; int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> k; cnt[k]++; } for (int sum = 1; sum <= 3 * n; sum++) for (int k = 0; k * 3 <= sum; k++) for (int j = 0; j * 2 + k * 3 <= sum; j++) { int i = sum - j * 2 - k * 3; if (i + j + k > n) continue; if (i > 0) dp[i][j][k] += (db)i / (i + j + k) * dp[i - 1][j][k]; if (j > 0) dp[i][j][k] += (db)j / (i + j + k) * dp[i + 1][j - 1][k]; if (k > 0) dp[i][j][k] += (db)k / (i + j + k) * dp[i][j + 1][k - 1]; dp[i][j][k] += (db)n / (i + j + k); } printf("%.13f\n", dp[cnt[1]][cnt[2]][cnt[3]]); }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long int n; int a[5] = {0}; long double dp[205][205][205]; long double solve(int n1, int n2, int n3) { if ((n1 < 0) || (n2 < 0) || (n3 < 0)) return 0; if (n1 == 0 && n2 == 0 && n3 == 0) return 0; if (dp[n1][n2][n3] != 0) return dp[n1][n2][n3]; long double &ans = dp[n1][n2][n3]; int cnt = 0; int x = n - n1 - n2 - n3; long double nn = n1 + n2 + n3; long double nn1 = (long double)n1 / nn; long double nn2 = (long double)n2 / nn; long double nn3 = (long double)n3 / nn; long double c = solve(n1 - 1, n2, n3); if (c > 0) { long double xx = (long double)(((long double)n1 + (long double)x * nn1) / ((long double)n1)); // cout<<xx<<" "<<c<<"\n"; xx += c; xx *= nn1; ans += xx; } c = solve(n1 + 1, n2 - 1, n3); if (c > 0) { long double xx = (long double)(((long double)n2 + (long double)x * nn2) / ((long double)n2)); // cout<<xx<<" "; xx += c; xx *= nn2; ans += xx; // cnt++; } c = solve(n1, n2 + 1, n3 - 1); if (c > 0) { long double xx = (long double)(((long double)n3 + (long double)x * nn3) / ((long double)n3)); // cout<<xx<<" "; xx += c; xx *= nn3; ans += xx; // cnt++; } // ans=ans/cnt; // cout<<n1<<" "<<n2<<" "<<n3<<" "<<ans<<" "<<cnt<<"\n"; return ans; } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); memset(dp, 0, sizeof(dp)); cin >> n; dp[1][0][0] = n; for (int i = 0; i < n; i++) { int x; cin >> x; a[x]++; } // cout<<a[1]<<" "<<a[2]<<" "<<a[3]<<"\n"; std::cout << std::setprecision(15) << solve(a[1], a[2], a[3]) << '\n'; }
#include <bits/stdc++.h> using namespace std; #define int long long int n; int a[5] = {0}; long double dp[305][305][305]; long double solve(int n1, int n2, int n3) { if ((n1 < 0) || (n2 < 0) || (n3 < 0)) return 0; if (n1 == 0 && n2 == 0 && n3 == 0) return 0; if (dp[n1][n2][n3] != 0) return dp[n1][n2][n3]; long double &ans = dp[n1][n2][n3]; int cnt = 0; int x = n - n1 - n2 - n3; long double nn = n1 + n2 + n3; long double nn1 = (long double)n1 / nn; long double nn2 = (long double)n2 / nn; long double nn3 = (long double)n3 / nn; long double c = solve(n1 - 1, n2, n3); if (c > 0) { long double xx = (long double)(((long double)n1 + (long double)x * nn1) / ((long double)n1)); // cout<<xx<<" "<<c<<"\n"; xx += c; xx *= nn1; ans += xx; } c = solve(n1 + 1, n2 - 1, n3); if (c > 0) { long double xx = (long double)(((long double)n2 + (long double)x * nn2) / ((long double)n2)); // cout<<xx<<" "; xx += c; xx *= nn2; ans += xx; // cnt++; } c = solve(n1, n2 + 1, n3 - 1); if (c > 0) { long double xx = (long double)(((long double)n3 + (long double)x * nn3) / ((long double)n3)); // cout<<xx<<" "; xx += c; xx *= nn3; ans += xx; // cnt++; } // ans=ans/cnt; // cout<<n1<<" "<<n2<<" "<<n3<<" "<<ans<<" "<<cnt<<"\n"; return ans; } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); memset(dp, 0, sizeof(dp)); cin >> n; dp[1][0][0] = n; for (int i = 0; i < n; i++) { int x; cin >> x; a[x]++; } // cout<<a[1]<<" "<<a[2]<<" "<<a[3]<<"\n"; std::cout << std::setprecision(15) << solve(a[1], a[2], a[3]) << '\n'; }
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-11
p03169
C++
Runtime Error
#include <bits/stdc++.h> #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define rep(i, n) FOR(i, 0, n) #define RFOR(i, a, b) for (int i = (a)-1; i >= (b); i--) #define rrep(i, n) RFOR(i, n, 0) using namespace std; typedef long long ll; typedef unsigned long long ull; int n; const int max_n = 303; double dp[max_n][max_n][max_n]; // dp[i1][i2][i3] // :寿司j個の皿がij枚あるとき、すべての寿司がなくなるまでの操作回数の期待値 double calc(int i, int j, int k) { if (!i && !j && !k) return 0.0; if (dp[i][j][k] > 0) return dp[i][j][k]; int l = i + j + k; double ret = 1.0 * n / l; if (i) ret += 1.0 * i / l * calc(i - 1, j, k); if (j) ret += 1.0 * j / l * calc(i + 1, j - 1, k); if (k) ret += 1.0 * k / l * calc(i, j + 1, k - 1); dp[i][j][k] = ret; return ret; } int main() { cin.tie(0); ios::sync_with_stdio(false); cin >> n; int cnt[4] = {}; rep(i, n) { int a; cin >> a; cnt[a]++; } rep(i, max_n) rep(j, max_n) rep(k, max_n) dp[i][j][k] = 0; for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { for (int k = 0; k <= n; k++) { calc(i, j, k); } } } cout << fixed << setprecision(11) << dp[cnt[1]][cnt[2]][cnt[3]] << endl; }
#include <bits/stdc++.h> #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define rep(i, n) FOR(i, 0, n) #define RFOR(i, a, b) for (int i = (a)-1; i >= (b); i--) #define rrep(i, n) RFOR(i, n, 0) using namespace std; typedef long long ll; typedef unsigned long long ull; int n; const int max_n = 303; double dp[max_n][max_n][max_n]; // dp[i1][i2][i3] // :寿司j個の皿がij枚あるとき、すべての寿司がなくなるまでの操作回数の期待値 double calc(int i, int j, int k) { if (!i && !j && !k) return 0.0; if (dp[i][j][k] > 0) return dp[i][j][k]; int l = i + j + k; double ret = 1.0 * n / l; if (i) ret += 1.0 * i / l * calc(i - 1, j, k); if (j) ret += 1.0 * j / l * calc(i + 1, j - 1, k); if (k) ret += 1.0 * k / l * calc(i, j + 1, k - 1); dp[i][j][k] = ret; return ret; } int main() { cin.tie(0); ios::sync_with_stdio(false); cin >> n; int cnt[4] = {}; rep(i, n) { int a; cin >> a; cnt[a]++; } rep(i, max_n) rep(j, max_n) rep(k, max_n) dp[i][j][k] = 0; cout << fixed << setprecision(11) << calc(cnt[1], cnt[2], cnt[3]) << endl; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define ll long long int #define maxn 100005 #define ld long double ll fastpower(ll b, ll p) { ll k = p % 2 ? b : 1; return p == 0 ? 1 : k * (fastpower(b * b, p / 2)); } ld dp[105][105][105]; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ll n; cin >> n; ll cnt[4] = {0, 0, 0, 0}; ll x; for (int i = 0; i < n; i++) { cin >> x; cnt[x]++; } dp[0][0][0] = 0; for (ll three = 0; three <= n; three++) { for (ll two = 0; two <= n; two++) { for (ll one = 0; one <= n; one++) { ll zero = n - two - three - one; if (zero < 0 || zero == n) continue; ld value = 1.0; if (three > 0) value += (1.0 * three / n) * dp[three - 1][two + 1][one]; if (two > 0) value += (1.0 * two / n) * dp[three][two - 1][one + 1]; if (one > 0) value += (1.0 * one / n) * dp[three][two][one - 1]; // dp[three][two][one]=(value)/(1-1.0*zero/n); dp[three][two][one] = (value * n) / (1.0 * (one + two + three)); } } } ld ans = dp[cnt[3]][cnt[2]][cnt[1]]; cout.precision(20); cout << ans; }
#include <bits/stdc++.h> using namespace std; #define ll long long int #define maxn 100005 #define ld long double ll fastpower(ll b, ll p) { ll k = p % 2 ? b : 1; return p == 0 ? 1 : k * (fastpower(b * b, p / 2)); } ld dp[305][305][305]; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ll n; cin >> n; ll cnt[4] = {0, 0, 0, 0}; ll x; for (int i = 0; i < n; i++) { cin >> x; cnt[x]++; } dp[0][0][0] = 0; for (ll three = 0; three <= n; three++) { for (ll two = 0; two <= n; two++) { for (ll one = 0; one <= n; one++) { ll zero = n - two - three - one; if (zero < 0 || zero == n) continue; ld value = 1.0; if (three > 0) value += (1.0 * three / n) * dp[three - 1][two + 1][one]; if (two > 0) value += (1.0 * two / n) * dp[three][two - 1][one + 1]; if (one > 0) value += (1.0 * one / n) * dp[three][two][one - 1]; // dp[three][two][one]=(value)/(1-1.0*zero/n); dp[three][two][one] = (value * n) / (1.0 * (one + two + three)); } } } ld ans = dp[cnt[3]][cnt[2]][cnt[1]]; cout.precision(20); cout << ans; }
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0
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int n; double dp[305][305][305]; int cnt[4]; int main() { freopen("j.in", "r", stdin); // freopen("output.txt", "w", stdout); ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; int t; for (int i = 0; i < n; i++) { cin >> t; cnt[t]++; } dp[0][0][0] = 0; for (int n3 = 0; n3 <= cnt[3]; n3++) { for (int n2 = 0; n2 + n3 <= cnt[2] + cnt[3]; n2++) { for (int n1 = 0; n1 + n2 + n3 <= n - cnt[0]; n1++) { int s = n1 + n2 + n3; if (s != 0) { double temp = double(n); if (n1 != 0) temp += double(n1) * dp[n1 - 1][n2][n3]; if (n2 != 0) temp += double(n2) * dp[n1 + 1][n2 - 1][n3]; if (n3 != 0) temp += double(n3) * dp[n1][n2 + 1][n3 - 1]; temp /= double(s); dp[n1][n2][n3] = temp; } } } } cout.precision(16); cout << dp[cnt[1]][cnt[2]][cnt[3]] << endl; }
#include <bits/stdc++.h> using namespace std; int n; double dp[305][305][305]; int cnt[4]; int main() { // freopen("j.in", "r", stdin); // freopen("output.txt", "w", stdout); ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; int t; for (int i = 0; i < n; i++) { cin >> t; cnt[t]++; } dp[0][0][0] = 0; for (int n3 = 0; n3 <= cnt[3]; n3++) { for (int n2 = 0; n2 + n3 <= cnt[2] + cnt[3]; n2++) { for (int n1 = 0; n1 + n2 + n3 <= n - cnt[0]; n1++) { int s = n1 + n2 + n3; if (s != 0) { double temp = double(n); if (n1 != 0) temp += double(n1) * dp[n1 - 1][n2][n3]; if (n2 != 0) temp += double(n2) * dp[n1 + 1][n2 - 1][n3]; if (n3 != 0) temp += double(n3) * dp[n1][n2 + 1][n3 - 1]; temp /= double(s); dp[n1][n2][n3] = temp; } } } } cout.precision(16); cout << dp[cnt[1]][cnt[2]][cnt[3]] << endl; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; namespace Base { #define mr make_pair typedef long long ll; typedef double db; const int inf = 0x3f3f3f3f, INF = 0x7fffffff; const ll infll = 0x3f3f3f3f3f3f3f3fll, INFll = 0x7fffffffffffffffll; template <typename T> void read(T &x) { x = 0; int fh = 1; double num = 1.0; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') fh = -1; ch = getchar(); } while (isdigit(ch)) { x = x * 10 + ch - '0'; ch = getchar(); } if (ch == '.') { ch = getchar(); while (isdigit(ch)) { num /= 10; x = x + num * (ch - '0'); ch = getchar(); } } x = x * fh; } template <typename T> void chmax(T &x, T y) { x = x < y ? y : x; } template <typename T> void chmin(T &x, T y) { x = x > y ? y : x; } } // namespace Base using namespace Base; const int N = 210; int n, cnt[4], q1[N * N * N], q2[N * N * N], q3[N * N * N]; bool mp[N][N][N]; double g[N][N][N], f[N][N][N]; int main() { read(n); for (int i = 1; i <= n; i++) { int x; read(x); cnt[x]++; } mp[cnt[1]][cnt[2]][cnt[3]] = true; g[cnt[1]][cnt[2]][cnt[3]] = 1; q1[1] = cnt[1], q2[1] = cnt[2], q3[1] = cnt[3]; int pl = 1, pr = 1; while (pl <= pr) { int x = q1[pl], y = q2[pl], z = q3[pl], nx, ny, nz; f[x][y][z] /= g[x][y][z]; pl++; double t = 1.0 * n / (x + y + z); if (x > 0) { nx = x - 1, ny = y, nz = z; if (!mp[nx][ny][nz]) { pr++; q1[pr] = nx, q2[pr] = ny, q3[pr] = nz; mp[nx][ny][nz] = true; } double p = 1.0 * x / (x + y + z); g[nx][ny][nz] += p * g[x][y][z]; f[nx][ny][nz] += p * g[x][y][z] * (f[x][y][z] + t); } if (y > 0) { nx = x + 1, ny = y - 1, nz = z; if (!mp[nx][ny][nz]) { pr++; q1[pr] = nx, q2[pr] = ny, q3[pr] = nz; mp[nx][ny][nz] = true; } double p = 1.0 * y / (x + y + z); g[nx][ny][nz] += p * g[x][y][z]; f[nx][ny][nz] += p * g[x][y][z] * (f[x][y][z] + t); } if (z > 0) { nx = x, ny = y + 1, nz = z - 1; if (!mp[nx][ny][nz]) { pr++; q1[pr] = nx, q2[pr] = ny, q3[pr] = nz; mp[nx][ny][nz] = true; } double p = 1.0 * z / (x + y + z); g[nx][ny][nz] += p * g[x][y][z]; f[nx][ny][nz] += p * g[x][y][z] * (f[x][y][z] + t); } } printf("%.10lf\n", f[0][0][0]); return 0; }
#include <bits/stdc++.h> using namespace std; namespace Base { #define mr make_pair typedef long long ll; typedef double db; const int inf = 0x3f3f3f3f, INF = 0x7fffffff; const ll infll = 0x3f3f3f3f3f3f3f3fll, INFll = 0x7fffffffffffffffll; template <typename T> void read(T &x) { x = 0; int fh = 1; double num = 1.0; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') fh = -1; ch = getchar(); } while (isdigit(ch)) { x = x * 10 + ch - '0'; ch = getchar(); } if (ch == '.') { ch = getchar(); while (isdigit(ch)) { num /= 10; x = x + num * (ch - '0'); ch = getchar(); } } x = x * fh; } template <typename T> void chmax(T &x, T y) { x = x < y ? y : x; } template <typename T> void chmin(T &x, T y) { x = x > y ? y : x; } } // namespace Base using namespace Base; const int N = 310; int n, cnt[4], q1[N * N * N], q2[N * N * N], q3[N * N * N]; bool mp[N][N][N]; double g[N][N][N], f[N][N][N]; int main() { read(n); for (int i = 1; i <= n; i++) { int x; read(x); cnt[x]++; } mp[cnt[1]][cnt[2]][cnt[3]] = true; g[cnt[1]][cnt[2]][cnt[3]] = 1; q1[1] = cnt[1], q2[1] = cnt[2], q3[1] = cnt[3]; int pl = 1, pr = 1; while (pl <= pr) { int x = q1[pl], y = q2[pl], z = q3[pl], nx, ny, nz; f[x][y][z] /= g[x][y][z]; pl++; double t = 1.0 * n / (x + y + z); if (x > 0) { nx = x - 1, ny = y, nz = z; if (!mp[nx][ny][nz]) { pr++; q1[pr] = nx, q2[pr] = ny, q3[pr] = nz; mp[nx][ny][nz] = true; } double p = 1.0 * x / (x + y + z); g[nx][ny][nz] += p * g[x][y][z]; f[nx][ny][nz] += p * g[x][y][z] * (f[x][y][z] + t); } if (y > 0) { nx = x + 1, ny = y - 1, nz = z; if (!mp[nx][ny][nz]) { pr++; q1[pr] = nx, q2[pr] = ny, q3[pr] = nz; mp[nx][ny][nz] = true; } double p = 1.0 * y / (x + y + z); g[nx][ny][nz] += p * g[x][y][z]; f[nx][ny][nz] += p * g[x][y][z] * (f[x][y][z] + t); } if (z > 0) { nx = x, ny = y + 1, nz = z - 1; if (!mp[nx][ny][nz]) { pr++; q1[pr] = nx, q2[pr] = ny, q3[pr] = nz; mp[nx][ny][nz] = true; } double p = 1.0 * z / (x + y + z); g[nx][ny][nz] += p * g[x][y][z]; f[nx][ny][nz] += p * g[x][y][z] * (f[x][y][z] + t); } } printf("%.10lf\n", f[0][0][0]); return 0; }
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p03169
C++
Runtime Error
#include <iomanip> #include <iostream> using namespace std; #define MAXN 310 typedef long double ld; ld dp[MAXN][MAXN][MAXN]; int N; int sushi[MAXN]; int main() { cin >> N; for (int i = 0; i < N; i++) { cin >> sushi[i]; } for (int k = 0; k <= N; k++) { for (int j = 0; j <= N; j++) { for (int i = 0; i <= N; i++) { if (i + j + k <= N) { if ((i == 0 && j == 0) && (k == 0)) { dp[i][j][k] = (ld)0; } else { ld temp = (ld)i * dp[i - 1][j][k] + (ld)j * dp[i + 1][j - 1][k] + (ld)k * dp[i][j + 1][k - 1] + (ld)N; dp[i][j][k] = temp / ((ld)(i + j + k)); } } } } } int c1 = 0, c2 = 0, c3 = 0; for (int i = 0; i < N; i++) { if (sushi[i] == 1) { c1++; } else if (sushi[i] == 2) { c2++; } else { c3++; } } cout << setprecision(10); cout << dp[c1][c2][c3] << endl; }
#include <iomanip> #include <iostream> using namespace std; #define MAXN 310 typedef long double ld; ld dp[MAXN][MAXN][MAXN]; int N; int sushi[MAXN]; int main() { cin >> N; for (int i = 0; i < N; i++) { cin >> sushi[i]; } for (int k = 0; k <= N; k++) { for (int j = 0; j <= N; j++) { for (int i = 0; i <= N; i++) { if (i + j + k <= N) { if ((i == 0 && j == 0) && (k == 0)) { dp[i][j][k] = (ld)0; } else { ld temp = (i != 0 ? (ld)i * dp[i - 1][j][k] : 0) + (j != 0 ? (ld)j * dp[i + 1][j - 1][k] : 0) + (k != 0 ? (ld)k * dp[i][j + 1][k - 1] : 0) + (ld)N; dp[i][j][k] = temp / ((ld)(i + j + k)); } } } } } int c1 = 0, c2 = 0, c3 = 0; for (int i = 0; i < N; i++) { if (sushi[i] == 1) { c1++; } else if (sushi[i] == 2) { c2++; } else { c3++; } } cout << setprecision(10); cout << dp[c1][c2][c3] << endl; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<ll> vec; typedef vector<vec> mat; typedef pair<ll, ll> pll; const ll mod = 1e9 + 7; // const ll mod=998244353; const ll inf = 1LL << 61; vector<vector<vector<double>>> dp(300, vector<vector<double>>(300, vector<double>(300, -1))); ll n; double dfs(ll i, ll j, ll k) { if (dp[i][j][k] > -1) return dp[i][j][k]; if (i == 0 && j == 0 && k == 0) return 0; double res = 0; if (i) res += dfs(i - 1, j, k) * i; if (j) res += dfs(i + 1, j - 1, k) * j; if (k) res += dfs(i, j + 1, k - 1) * k; res += n; res *= 1.0 / (i + j + k); return dp[i][j][k] = res; } int main() { cin >> n; ll one = 0, two = 0, three = 0; for (ll i = 0; i < n; i++) { ll a; cin >> a; if (a == 1) one++; else if (a == 2) two++; else three++; } double ans = dfs(one, two, three); cout << fixed << setprecision(10) << ans << endl; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<ll> vec; typedef vector<vec> mat; typedef pair<ll, ll> pll; const ll mod = 1e9 + 7; // const ll mod=998244353; const ll inf = 1LL << 61; vector<vector<vector<double>>> dp(301, vector<vector<double>>(301, vector<double>(301, -1))); ll n; double dfs(ll i, ll j, ll k) { if (dp[i][j][k] > -1) return dp[i][j][k]; if (i == 0 && j == 0 && k == 0) return 0; double res = 0; if (i) res += dfs(i - 1, j, k) * i; if (j) res += dfs(i + 1, j - 1, k) * j; if (k) res += dfs(i, j + 1, k - 1) * k; res += n; res *= 1.0 / (i + j + k); return dp[i][j][k] = res; } int main() { cin >> n; ll one = 0, two = 0, three = 0; for (ll i = 0; i < n; i++) { ll a; cin >> a; if (a == 1) one++; else if (a == 2) two++; else three++; } double ans = dfs(one, two, three); cout << fixed << setprecision(10) << ans << endl; }
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terminate called after throwing an instance of 'std::bad_alloc' what(): std::bad_alloc
p03169
C++
Runtime Error
//{{{ #include <bits/stdc++.h> using namespace std; #define putchar(x) cout << (x) #define repeat(x) \ int _ = 0; \ _ < (x); \ ++_ template <typename T> constexpr auto range(T start, T stop, T step) { struct iterator { T i, step; bool operator!=(const iterator &other) const { return i != other.i; } auto &operator++() { i += step; return *this; } auto &operator*() { return i; } }; struct iterable_wrapper { T start, stop, step; auto begin() const { return iterator{start, step}; } auto end() const { return iterator{stop, step}; } size_t size() const { return (stop - start) / step; } iterable_wrapper(T start_, T stop_, T step_) : start(start_), stop(stop_), step(step_) { stop = step > 0 ? max(start, stop) : min(start, stop); stop += (step - (stop - start) % step) % step; } }; return iterable_wrapper(start, stop, step); }; template <typename T> constexpr auto range(T start, T stop) { return range(start, stop, T(1)); } template <typename T> constexpr auto range(T stop) { return range(T(0), stop, T(1)); } template <typename T, typename Iter = decltype(begin(declval<T>()))> constexpr auto printer(T &&iterable) { struct iterator { Iter iter, ed; auto operator!=(const iterator &other) const { auto ret = (iter != other.iter); if (not ret) cout << '\n'; return ret; } auto &operator++() { ++iter; if (iter != ed) cout << ' '; return *this; } auto &operator*() { return *iter; } }; struct iterable_wrapper { T iterable; auto begin() const { return iterator{std::begin(iterable), std::end(iterable)}; } auto end() const { return iterator{std::end(iterable), std::end(iterable)}; } }; return iterable_wrapper{forward<T>(iterable)}; }; template <size_t... Is, typename T> auto getis(const T &t) { return tie(get<Is>(t)...); } template <class T> void setmax(T &a, const T &b) { a = max(a, b); } template <class T> void setmin(T &a, const T &b) { a = min(a, b); } template <typename T> struct is_const_char_arr_ref : false_type {}; template <size_t N> struct is_const_char_arr_ref<char const (&)[N]> : true_type {}; template <typename T, typename = void> struct is_container : false_type {}; template <typename T> struct is_container<T, conditional_t<false, decltype(begin(declval<T>())), void>> : true_type {}; template <class T> using IsC = typename enable_if<is_container<T>::value and not is_same<T, string>::value>::type; template <class T> using NotC = typename enable_if<not is_container<T>::value or is_same<T, string>::value>::type; template <class T> inline IsC<T> print_1(const T &v); template <class T> inline NotC<T> print_1(const T &x) { cout << x; } template <size_t N> void print_1(const array<char, N> &x) { cout << &x[0]; }; inline void print_1(const tuple<> &) { cout << "()"; }; template <size_t L, size_t I, class T> void print_tuple(const T &t) { if (I != 0) cout << ", "; print_1(get<I>(t)); if (I + 1 < L) print_tuple<L, (I + 1) % L>(t); } template <class... T> inline void print_1(const tuple<T...> &x) { cout << "("; print_tuple<sizeof...(T), 0, tuple<T...>>(x); cout << ")"; } inline void print_n() {} template <class T, class... U> inline void print_n(const T &head, const U &...tail); template <class T, class U> inline void print_1(const pair<T, U> &p) { cout << "("; print_1(p.first); cout << ", "; print_1(p.second); cout << ")"; } template <class T, class... U> inline void print_n(const T &head, const U &...tail) { print_1(head); if (sizeof...(tail)) cout << " "; print_n(tail...); } template <class T> inline IsC<T> print_1(const T &v) { cout << "["; for (auto it = v.begin(); it != v.end(); ++it) { if (it != v.begin()) cout << ", "; print_1(*it); } cout << "]"; } template <class... T> inline void print(const T &...args) { print_n(args...); putchar('\n'); } inline void read() {} template <class T, class... U> inline void read(T &head, U &...tail) { cin >> head; read(tail...); } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); static int fastio = []() { ios_base::sync_with_stdio(false); cin.tie(0); cout.precision(17); return 0; }(); template <class T> void print_dbg(const string &s, T &&x) { if (is_const_char_arr_ref<T>::value) { print_n(x); } else { print_n(s, "=", x); } } #define SELECT(_1, _2, _3, _4, _5, _6, _7, _8, NAME, ...) NAME #define dbg1(a) \ print_dbg(#a, a); \ cout << endl; #define dbg2(a, b) \ print_dbg(#a, a); \ cout << ", "; \ dbg1(b); #define dbg3(a, b, c) \ print_dbg(#a, a); \ cout << ", "; \ dbg2(b, c); #define dbg4(a, b, c, d) \ print_dbg(#a, a); \ cout << ", "; \ dbg3(b, c, d); #define dbg5(a, b, c, d, e) \ print_dbg(#a, a); \ cout << ", "; \ dbg4(b, c, d, e); #define dbg6(a, b, c, d, e, f) \ print_dbg(#a, a); \ cout << ", "; \ dbg5(b, c, d, e, f); #define dbg7(a, b, c, d, e, f, g) \ print_dbg(#a, a); \ cout << ", "; \ dbg6(b, c, d, e, f, g); #define dbg8(a, b, c, d, e, f, g, h) \ print_dbg(#a, a); \ cout << ", "; \ dbg7(b, c, d, e, f, g, h); #define debug(...) \ SELECT(__VA_ARGS__, dbg8, dbg7, dbg6, dbg5, dbg4, dbg3, dbg2, dbg1) \ (__VA_ARGS__) //}}} using PII = pair<int, int>; using LL = long long; const int MOD = 1e9 + 7; const int INF = 0x3f3f3f3f; const LL LLINF = 0x3f3f3f3f3f3f3f3f; const int MAX_N = 300005; array<array<array<double, 301>, 301>, 301> dp = {}; struct Solution { int N; double dfs(int i, int j, int k) { if (dp[i][j][k] > -0.5) { return dp[i][j][k]; } double y = 0.0; if (i > 0) { y += double(i) / N * dfs(i - 1, j, k); } if (j > 0) { y += double(j) / N * dfs(i + 1, j - 1, k); } if (k > 0) { y += double(k) / N * dfs(i, j + 1, k - 1); } double a = 1.0 - double(N - i - j - k) / N; double x = (1.0 + y) / a; dp[i][j][k] = x; return x; } Solution(int) { read(N); array<int, 4> cnt; for (repeat(N)) { int a; read(a); cnt[a] += 1; } for (int i : range(N + 1)) { for (int j : range(N + 1)) { for (int k : range(N + 1)) { dp[i][j][k] = -1.0; } } } dp[0][0][0] = 0.0; print(dfs(cnt[1], cnt[2], cnt[3])); } }; int main() { int T = 1; // cin >> T; for (int i = 1; i <= T; ++i) { ignore = Solution(i); } return 0; }
//{{{ #include <bits/stdc++.h> using namespace std; #define putchar(x) cout << (x) #define repeat(x) \ int _ = 0; \ _ < (x); \ ++_ template <typename T> constexpr auto range(T start, T stop, T step) { struct iterator { T i, step; bool operator!=(const iterator &other) const { return i != other.i; } auto &operator++() { i += step; return *this; } auto &operator*() { return i; } }; struct iterable_wrapper { T start, stop, step; auto begin() const { return iterator{start, step}; } auto end() const { return iterator{stop, step}; } size_t size() const { return (stop - start) / step; } iterable_wrapper(T start_, T stop_, T step_) : start(start_), stop(stop_), step(step_) { stop = step > 0 ? max(start, stop) : min(start, stop); stop += (step - (stop - start) % step) % step; } }; return iterable_wrapper(start, stop, step); }; template <typename T> constexpr auto range(T start, T stop) { return range(start, stop, T(1)); } template <typename T> constexpr auto range(T stop) { return range(T(0), stop, T(1)); } template <typename T, typename Iter = decltype(begin(declval<T>()))> constexpr auto printer(T &&iterable) { struct iterator { Iter iter, ed; auto operator!=(const iterator &other) const { auto ret = (iter != other.iter); if (not ret) cout << '\n'; return ret; } auto &operator++() { ++iter; if (iter != ed) cout << ' '; return *this; } auto &operator*() { return *iter; } }; struct iterable_wrapper { T iterable; auto begin() const { return iterator{std::begin(iterable), std::end(iterable)}; } auto end() const { return iterator{std::end(iterable), std::end(iterable)}; } }; return iterable_wrapper{forward<T>(iterable)}; }; template <size_t... Is, typename T> auto getis(const T &t) { return tie(get<Is>(t)...); } template <class T> void setmax(T &a, const T &b) { a = max(a, b); } template <class T> void setmin(T &a, const T &b) { a = min(a, b); } template <typename T> struct is_const_char_arr_ref : false_type {}; template <size_t N> struct is_const_char_arr_ref<char const (&)[N]> : true_type {}; template <typename T, typename = void> struct is_container : false_type {}; template <typename T> struct is_container<T, conditional_t<false, decltype(begin(declval<T>())), void>> : true_type {}; template <class T> using IsC = typename enable_if<is_container<T>::value and not is_same<T, string>::value>::type; template <class T> using NotC = typename enable_if<not is_container<T>::value or is_same<T, string>::value>::type; template <class T> inline IsC<T> print_1(const T &v); template <class T> inline NotC<T> print_1(const T &x) { cout << x; } template <size_t N> void print_1(const array<char, N> &x) { cout << &x[0]; }; inline void print_1(const tuple<> &) { cout << "()"; }; template <size_t L, size_t I, class T> void print_tuple(const T &t) { if (I != 0) cout << ", "; print_1(get<I>(t)); if (I + 1 < L) print_tuple<L, (I + 1) % L>(t); } template <class... T> inline void print_1(const tuple<T...> &x) { cout << "("; print_tuple<sizeof...(T), 0, tuple<T...>>(x); cout << ")"; } inline void print_n() {} template <class T, class... U> inline void print_n(const T &head, const U &...tail); template <class T, class U> inline void print_1(const pair<T, U> &p) { cout << "("; print_1(p.first); cout << ", "; print_1(p.second); cout << ")"; } template <class T, class... U> inline void print_n(const T &head, const U &...tail) { print_1(head); if (sizeof...(tail)) cout << " "; print_n(tail...); } template <class T> inline IsC<T> print_1(const T &v) { cout << "["; for (auto it = v.begin(); it != v.end(); ++it) { if (it != v.begin()) cout << ", "; print_1(*it); } cout << "]"; } template <class... T> inline void print(const T &...args) { print_n(args...); putchar('\n'); } inline void read() {} template <class T, class... U> inline void read(T &head, U &...tail) { cin >> head; read(tail...); } mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); static int fastio = []() { ios_base::sync_with_stdio(false); cin.tie(0); cout.precision(17); return 0; }(); template <class T> void print_dbg(const string &s, T &&x) { if (is_const_char_arr_ref<T>::value) { print_n(x); } else { print_n(s, "=", x); } } #define SELECT(_1, _2, _3, _4, _5, _6, _7, _8, NAME, ...) NAME #define dbg1(a) \ print_dbg(#a, a); \ cout << endl; #define dbg2(a, b) \ print_dbg(#a, a); \ cout << ", "; \ dbg1(b); #define dbg3(a, b, c) \ print_dbg(#a, a); \ cout << ", "; \ dbg2(b, c); #define dbg4(a, b, c, d) \ print_dbg(#a, a); \ cout << ", "; \ dbg3(b, c, d); #define dbg5(a, b, c, d, e) \ print_dbg(#a, a); \ cout << ", "; \ dbg4(b, c, d, e); #define dbg6(a, b, c, d, e, f) \ print_dbg(#a, a); \ cout << ", "; \ dbg5(b, c, d, e, f); #define dbg7(a, b, c, d, e, f, g) \ print_dbg(#a, a); \ cout << ", "; \ dbg6(b, c, d, e, f, g); #define dbg8(a, b, c, d, e, f, g, h) \ print_dbg(#a, a); \ cout << ", "; \ dbg7(b, c, d, e, f, g, h); #define debug(...) \ SELECT(__VA_ARGS__, dbg8, dbg7, dbg6, dbg5, dbg4, dbg3, dbg2, dbg1) \ (__VA_ARGS__) //}}} using PII = pair<int, int>; using LL = long long; const int MOD = 1e9 + 7; const int INF = 0x3f3f3f3f; const LL LLINF = 0x3f3f3f3f3f3f3f3f; const int MAX_N = 300005; array<array<array<double, 301>, 301>, 301> dp = {}; struct Solution { int N; double dfs(int i, int j, int k) { if (dp[i][j][k] > -0.5) { return dp[i][j][k]; } double y = 0.0; if (i > 0) { y += double(i) / N * dfs(i - 1, j, k); } if (j > 0) { y += double(j) / N * dfs(i + 1, j - 1, k); } if (k > 0) { y += double(k) / N * dfs(i, j + 1, k - 1); } double a = 1.0 - double(N - i - j - k) / N; double x = (1.0 + y) / a; dp[i][j][k] = x; return x; } Solution(int) { read(N); array<int, 4> cnt = {}; for (repeat(N)) { int a; read(a); cnt[a] += 1; } for (int i : range(N + 1)) { for (int j : range(N + 1)) { for (int k : range(N + 1)) { dp[i][j][k] = -1.0; } } } dp[0][0][0] = 0.0; print(dfs(cnt[1], cnt[2], cnt[3])); } }; int main() { int T = 1; // cin >> T; for (int i = 1; i <= T; ++i) { ignore = Solution(i); } return 0; }
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p03169
C++
Runtime Error
#include <algorithm> #include <cmath> #include <deque> #include <iomanip> #include <iostream> #include <iterator> #include <limits> #include <map> #include <queue> #include <set> #include <string> #include <tuple> #include <utility> #include <vector> using namespace std; using ll = long long; template <class T> using V = vector<T>; template <class T, class U> using P = pair<T, U>; using vll = V<ll>; using vvll = V<vll>; #define rep(i, k, n) for (ll i = k; i < (ll)n; ++i) #define REP(i, n) rep(i, 0, n) template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } ll n; V<V<V<double>>> dp(300, V<V<double>>(300, V<double>(300, 0.0))); V<V<V<bool>>> flag(300, V<V<bool>>(300, V<bool>(300, false))); double f(ll c1, ll c2, ll c3) { if (flag.at(c1).at(c2).at(c3)) return dp.at(c1).at(c2).at(c3); flag.at(c1).at(c2).at(c3) = true; double ans = 1 / (1 - (double)(n - c1 - c2 - c3) / n); if (c1 > 0) ans += f(c1 - 1, c2, c3) * (c1 / (double)n) / (1 - (double)(n - c1 - c2 - c3) / n); if (c2 > 0) ans += f(c1 + 1, c2 - 1, c3) * (c2 / (double)n) / (1 - (double)(n - c1 - c2 - c3) / n); if (c3 > 0) ans += f(c1, c2 + 1, c3 - 1) * (c3 / (double)n) / (1 - (double)(n - c1 - c2 - c3) / n); return dp.at(c1).at(c2).at(c3) = ans; } int main() { flag.at(0).at(0).at(0) = true; cin >> n; vll a(n); REP(i, n) cin >> a.at(i); vll c(3, 0); REP(i, n) c.at(a.at(i) - 1)++; cout << fixed << setprecision(12) << f(c.at(0), c.at(1), c.at(2)) << endl; return 0; }
#include <algorithm> #include <cmath> #include <deque> #include <iomanip> #include <iostream> #include <iterator> #include <limits> #include <map> #include <queue> #include <set> #include <string> #include <tuple> #include <utility> #include <vector> using namespace std; using ll = long long; template <class T> using V = vector<T>; template <class T, class U> using P = pair<T, U>; using vll = V<ll>; using vvll = V<vll>; #define rep(i, k, n) for (ll i = k; i < (ll)n; ++i) #define REP(i, n) rep(i, 0, n) template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } ll n; V<V<V<double>>> dp(305, V<V<double>>(305, V<double>(305, 0.0))); V<V<V<bool>>> flag(305, V<V<bool>>(305, V<bool>(305, false))); double f(ll c1, ll c2, ll c3) { if (flag.at(c1).at(c2).at(c3)) return dp.at(c1).at(c2).at(c3); flag.at(c1).at(c2).at(c3) = true; double ans = 1 / (1 - (double)(n - c1 - c2 - c3) / n); if (c1 > 0) ans += f(c1 - 1, c2, c3) * (c1 / (double)n) / (1 - (double)(n - c1 - c2 - c3) / n); if (c2 > 0) ans += f(c1 + 1, c2 - 1, c3) * (c2 / (double)n) / (1 - (double)(n - c1 - c2 - c3) / n); if (c3 > 0) ans += f(c1, c2 + 1, c3 - 1) * (c3 / (double)n) / (1 - (double)(n - c1 - c2 - c3) / n); return dp.at(c1).at(c2).at(c3) = ans; } int main() { flag.at(0).at(0).at(0) = true; cin >> n; vll a(n); REP(i, n) cin >> a.at(i); vll c(3, 0); REP(i, n) c.at(a.at(i) - 1)++; cout << fixed << setprecision(12) << f(c.at(0), c.at(1), c.at(2)) << endl; return 0; }
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terminate called after throwing an instance of 'std::bad_alloc' what(): std::bad_alloc
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define ll long long #define pb push_back #define N 1000000007 #define nmax 200001 #define pll pair<ll, ll> #define fill_nums(A, n) \ for (ll i = 0; i < n; i++) \ scanf("%lld", &A[i]); #define fill_edges(adj, m) \ for (ll i = 0; i < m; i++) { \ ll a, b; \ scanf("%lld %lld", &a, &b); \ adj[a - 1].pb(b - 1); \ adj[b - 1].pb(a - 1); \ } #define fill_direct(adj, m) \ for (ll i = 0; i < m; i++) { \ ll a, b; \ scanf("%lld %lld", &a, &b); \ adj[a - 1].pb(b - 1); \ } ll extended_gcd(ll a, ll b, ll &x, ll &y) { if (a == 0) { x = 0; y = 1; return b; } ll x1, y1; ll gcd = extended_gcd(b % a, a, x1, y1); x = y1 - (b / a) * x1; y = x1; return gcd; } vector<vector<vector<double>>> dp(301, vector<vector<double>>(301, vector<double>(301, 0))); int main() { ll n, c1 = 0, c2 = 0, c3 = 0; cin >> n; for (int i = 0; i < n; i++) { int a; cin >> a; if (a == 1) c1++; else if (a == 2) c2++; else if (a == 3) c3++; } for (int i = 0; i <= c3; i++) { for (int j = 0; j <= c2 + c3; j++) { for (int k = 0; k <= c1 + c2 + c3; k++) { if (i == 0 && k == 0 && j == 0) continue; double a = (k > 0) ? k * dp[i][j][k - 1] : 0; double b = (j > 0) ? j * dp[i][j - 1][k + 1] : 0; double c = (i > 0) ? i * dp[i - 1][j + 1][k] : 0; dp[i][j][k] = (a + b + c + n) / (i + j + k); } } } cout << fixed << setprecision(10); cout << dp[c3][c2][c1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define ll long long #define pb push_back #define N 1000000007 #define nmax 200001 #define pll pair<ll, ll> #define fill_nums(A, n) \ for (ll i = 0; i < n; i++) \ scanf("%lld", &A[i]); #define fill_edges(adj, m) \ for (ll i = 0; i < m; i++) { \ ll a, b; \ scanf("%lld %lld", &a, &b); \ adj[a - 1].pb(b - 1); \ adj[b - 1].pb(a - 1); \ } #define fill_direct(adj, m) \ for (ll i = 0; i < m; i++) { \ ll a, b; \ scanf("%lld %lld", &a, &b); \ adj[a - 1].pb(b - 1); \ } ll extended_gcd(ll a, ll b, ll &x, ll &y) { if (a == 0) { x = 0; y = 1; return b; } ll x1, y1; ll gcd = extended_gcd(b % a, a, x1, y1); x = y1 - (b / a) * x1; y = x1; return gcd; } vector<vector<vector<double>>> dp(303, vector<vector<double>>(303, vector<double>(303, 0))); int main() { ll n, c1 = 0, c2 = 0, c3 = 0; cin >> n; for (int i = 0; i < n; i++) { int a; cin >> a; if (a == 1) c1++; else if (a == 2) c2++; else if (a == 3) c3++; } for (int i = 0; i <= c3; i++) { for (int j = 0; j <= c2 + c3; j++) { for (int k = 0; k <= c1 + c2 + c3; k++) { if (i == 0 && k == 0 && j == 0) continue; double a = (k > 0) ? k * dp[i][j][k - 1] : 0; double b = (j > 0) ? j * dp[i][j - 1][k + 1] : 0; double c = (i > 0) ? i * dp[i - 1][j + 1][k] : 0; dp[i][j][k] = (a + b + c + n) / (i + j + k); } } } cout << fixed << setprecision(10); cout << dp[c3][c2][c1] << endl; return 0; }
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terminate called after throwing an instance of 'std::bad_alloc' what(): std::bad_alloc
p03169
C++
Runtime Error
#include <algorithm> #include <bitset> #include <cassert> #include <climits> #include <cmath> #include <cstring> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define REP(i, n) FOR(i, 0, n) #define SORT(c) sort((c).begin(), (c).end()) typedef long long ll; typedef pair<int, int> P; typedef vector<int> V; typedef map<int, int> M; constexpr ll INF = 1e18; constexpr ll MOD = 1e9 + 7; constexpr double PI = 3.14159265358979323846; constexpr int dx[] = {0, 0, 1, -1}; constexpr int dy[] = {1, -1, 0, 0}; int main() { ios::sync_with_stdio(false); cin.tie(0); int n, a[310], num[4] = {0}; cin >> n; REP(i, n) { cin >> a[i]; num[a[i]]++; } double dp[30][30][30]; memset(dp, 0, sizeof(dp)); for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if ((i + j + k) && i + j + k <= n) { if (i) dp[i][j][k] += dp[i - 1][j][k] * i / n; if (j) dp[i][j][k] += dp[i + 1][j - 1][k] * j / n; if (k) dp[i][j][k] += dp[i][j + 1][k - 1] * k / n; dp[i][j][k] += 1; dp[i][j][k] /= 1.0 * (i + j + k) / n; } } } } cout << setprecision(20) << dp[num[1]][num[2]][num[3]] << endl; return 0; }
#include <algorithm> #include <bitset> #include <cassert> #include <climits> #include <cmath> #include <cstring> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define REP(i, n) FOR(i, 0, n) #define SORT(c) sort((c).begin(), (c).end()) typedef long long ll; typedef pair<int, int> P; typedef vector<int> V; typedef map<int, int> M; constexpr ll INF = 1e18; constexpr ll MOD = 1e9 + 7; constexpr double PI = 3.14159265358979323846; constexpr int dx[] = {0, 0, 1, -1}; constexpr int dy[] = {1, -1, 0, 0}; int main() { ios::sync_with_stdio(false); cin.tie(0); int n, a[310], num[4] = {0}; cin >> n; REP(i, n) { cin >> a[i]; num[a[i]]++; } double dp[301][301][301]; memset(dp, 0, sizeof(dp)); for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if ((i + j + k) && i + j + k <= n) { if (i) dp[i][j][k] += dp[i - 1][j][k] * i / n; if (j) dp[i][j][k] += dp[i + 1][j - 1][k] * j / n; if (k) dp[i][j][k] += dp[i][j + 1][k - 1] * k / n; dp[i][j][k] += 1; dp[i][j][k] /= 1.0 * (i + j + k) / n; } } } } cout << setprecision(20) << dp[num[1]][num[2]][num[3]] << endl; return 0; }
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p03169
C++
Runtime Error
#include <iomanip> #include <iostream> #include <vector> using namespace std; double dp[305][305][305]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); int N; cin >> N; int x = 0, y = 0, z = 0; for (int i = 0; i < N; i++) { int a; cin >> a; if (a == 1) x++; if (a == 2) y++; if (a == 3) z++; } int MX = max(x, max(y * 2, z * 3)); dp[0][0][0] = 0.0; for (int k = 0; k <= MX; k++) { for (int j = 0; j <= MX; j++) { for (int i = 0; i <= MX; i++) { int T = i + j + k; if (T == 0) continue; dp[i][j][k] = (1.0 * N / T); double r1 = 0.0; if (i > 0) r1 = (1.0 * i / T) * dp[i - 1][j][k]; double r2 = 0.0; if (j > 0) r2 = (1.0 * j / T) * dp[i + 1][j - 1][k]; double r3 = 0.0; if (k > 0) r3 = (1.0 * k / T) * dp[i][j + 1][k - 1]; dp[i][j][k] += (r1 + r2 + r3); } } } cout << setprecision(9) << fixed << dp[x][y][z] << "\n"; }
#include <iomanip> #include <iostream> #include <vector> using namespace std; double dp[305][305][305]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); int N; cin >> N; int x = 0, y = 0, z = 0; for (int i = 0; i < N; i++) { int a; cin >> a; if (a == 1) x++; if (a == 2) y++; if (a == 3) z++; } int MX = x + y + z + 2; dp[0][0][0] = 0.0; for (int k = 0; k <= MX; k++) { for (int j = 0; j <= MX; j++) { for (int i = 0; i <= MX; i++) { int T = i + j + k; if (T == 0) continue; dp[i][j][k] = (1.0 * N / T); double r1 = 0.0; if (i > 0) r1 = (1.0 * i / T) * dp[i - 1][j][k]; double r2 = 0.0; if (j > 0) r2 = (1.0 * j / T) * dp[i + 1][j - 1][k]; double r3 = 0.0; if (k > 0) r3 = (1.0 * k / T) * dp[i][j + 1][k - 1]; dp[i][j][k] += (r1 + r2 + r3); } } } cout << setprecision(9) << fixed << dp[x][y][z] << "\n"; }
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-11
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; template <class T, class U> using P = pair<T, U>; template <class T> using vec = vector<T>; template <class T> using vvec = vector<vec<T>>; template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } #define rep(i, n) for (int(i) = 0; (i) < (n); (i)++) int main() { int n; // cout << "here" << endl; cin >> n; vec<vec<vec<double>>> dp(302, vvec<double>(32, vec<double>(302, 0))); int num[3] = {0, 0, 0}; rep(i, n) { int a; cin >> a; num[a - 1]++; } // cout << "here" << endl; rep(k, n + 1) rep(j, n + 1) rep(i, n + 1) { double d = 0.0; // cout << "here1" << endl; if (i == 0 && j == 0 && k == 0) continue; if (i > 0) d += i * dp[i - 1][j][k]; if (j > 0) d += j * dp[i + 1][j - 1][k]; if (k > 0) d += k * dp[i][j + 1][k - 1]; dp[i][j][k] = (d + n) / (1.0 * (i + j + k)); } cout << setprecision(10) << dp[num[0]][num[1]][num[2]] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; template <class T, class U> using P = pair<T, U>; template <class T> using vec = vector<T>; template <class T> using vvec = vector<vec<T>>; template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } #define rep(i, n) for (int(i) = 0; (i) < (n); (i)++) int main() { int n; // cout << "here" << endl; cin >> n; vec<vec<vec<double>>> dp(302, vvec<double>(302, vec<double>(302, 0))); int num[3] = {0, 0, 0}; rep(i, n) { int a; cin >> a; num[a - 1]++; } // cout << "here" << endl; rep(k, n + 1) rep(j, n + 1) rep(i, n + 1) { double d = 0.0; // cout << "here1" << endl; if (i == 0 && j == 0 && k == 0) continue; if (i > 0) d += i * dp[i - 1][j][k]; if (j > 0) d += j * dp[i + 1][j - 1][k]; if (k > 0) d += k * dp[i][j + 1][k - 1]; dp[i][j][k] = (d + n) / (1.0 * (i + j + k)); } cout << setprecision(10) << dp[num[0]][num[1]][num[2]] << endl; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) template <class T> bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } #define all(x) (x).begin(), (x).end() #pragma GCC optimize("Ofast") using namespace std; typedef long long int ll; typedef long double ld; const ll INF = (1LL << 62); const ld pi = acosl((ld)-1); const ll mod = 1000000007; // const ll mod = 1234567; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; const int ddx[8] = {1, 0, -1, -1, -1, 0, 1, 1}; const int ddy[8] = {1, 1, 1, 0, -1, -1, -1, 0}; #define endn "\n" #define TO_STRING(VariableName) #VariableName template <typename T> ostream &operator<<(ostream &out, const vector<T> &v) { rep(i, (int)v.size() - 1) cout << v[i] << " "; cout << v[(int)v.size() - 1]; return out; } template <typename T1, typename T2> ostream &operator<<(ostream &out, const map<T1, T2> &p) { out << "(" << p.first << ", " << p.second << ")"; return out; } template <typename T1, typename T2> ostream &operator<<(ostream &out, const pair<T1, T2> &p) { out << "(" << p.first << ", " << p.second << ")"; return out; } template <class T> void debag(const T &obj) { cout << obj << endl; } bool solve() { ll n; cin >> n; ll A = 0; ll B = 0; ll C = 0; rep(i, n) { ll a; cin >> a; if (a == 1) A++; if (a == 2) B++; if (a == 3) C++; } ld dp[n + 1][n + 1][n + 1]; rep(i, n + 1) rep(j, n + 1) rep(k, n + 1) dp[i][j][k] = 0; rep(i, n + 1) rep(j, n + 1) rep(k, n + 1) { dp[i][j][k] = 0; if (i + j + k == 0) continue; if (i > 0) dp[i][j][k] += dp[i - 1][j + 1][k] * (ld)((ld)i / (ld)(i + j + k)); if (j > 0) dp[i][j][k] += dp[i][j - 1][k + 1] * (ld)((ld)j / (ld)(i + j + k)); if (k > 0) dp[i][j][k] += dp[i][j][k - 1] * (ld)((ld)k / (ld)(i + j + k)); // cout<<i<<" "<<j<<" "<<k<<" "<<dp[i][j][k]<<endl; dp[i][j][k] += (ld)n / (ld)(i + j + k); } cout << dp[C][B][A] << endl; return false; } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(30); solve(); }
#include <bits/stdc++.h> #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) template <class T> bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } #define all(x) (x).begin(), (x).end() #pragma GCC optimize("Ofast") using namespace std; typedef long long int ll; typedef long double ld; const ll INF = (1LL << 62); const ld pi = acosl((ld)-1); const ll mod = 1000000007; // const ll mod = 1234567; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; const int ddx[8] = {1, 0, -1, -1, -1, 0, 1, 1}; const int ddy[8] = {1, 1, 1, 0, -1, -1, -1, 0}; #define endn "\n" #define TO_STRING(VariableName) #VariableName template <typename T> ostream &operator<<(ostream &out, const vector<T> &v) { rep(i, (int)v.size() - 1) cout << v[i] << " "; cout << v[(int)v.size() - 1]; return out; } template <typename T1, typename T2> ostream &operator<<(ostream &out, const map<T1, T2> &p) { out << "(" << p.first << ", " << p.second << ")"; return out; } template <typename T1, typename T2> ostream &operator<<(ostream &out, const pair<T1, T2> &p) { out << "(" << p.first << ", " << p.second << ")"; return out; } template <class T> void debag(const T &obj) { cout << obj << endl; } bool solve() { ll n; cin >> n; ll A = 0; ll B = 0; ll C = 0; rep(i, n) { ll a; cin >> a; if (a == 1) A++; if (a == 2) B++; if (a == 3) C++; } vector<vector<vector<ld>>> dp( n + 2, vector<vector<ld>>(n + 2, vector<ld>(n + 2, 0))); rep(i, n + 1) rep(j, n + 1) rep(k, n + 1) dp[i][j][k] = 0; rep(i, n + 1) rep(j, n + 1) rep(k, n + 1) { dp[i][j][k] = 0; if (i + j + k == 0) continue; if (i > 0) dp[i][j][k] += dp[i - 1][j + 1][k] * (ld)((ld)i / (ld)(i + j + k)); if (j > 0) dp[i][j][k] += dp[i][j - 1][k + 1] * (ld)((ld)j / (ld)(i + j + k)); if (k > 0) dp[i][j][k] += dp[i][j][k - 1] * (ld)((ld)k / (ld)(i + j + k)); // cout<<i<<" "<<j<<" "<<k<<" "<<dp[i][j][k]<<endl; dp[i][j][k] += (ld)n / (ld)(i + j + k); } cout << dp[C][B][A] << endl; return false; } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(30); solve(); }
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p03169
C++
Runtime Error
#include <algorithm> #include <cmath> #include <cstdio> #include <cstring> #include <map> #include <queue> #include <set> #include <vector> #define MAXN 105 #define INF 0x3f3f3f3f #define p 1000000007 #define rint register int #define LL long long #define LD long double using namespace std; int n, sum, a[MAXN], num[4]; LD f[MAXN][MAXN][MAXN]; int main() { scanf("%d", &n); for (rint i = 1; i <= n; ++i) { scanf("%d", &a[i]); num[a[i]]++; sum += a[i]; } for (rint x = 1; x <= sum; ++x) { for (rint i = 0; i <= x / 3; ++i) { for (rint j = 0; j <= (x - i * 3) / 2; ++j) { int k = x - i * 3 - j * 2; if (i + j + k > n) continue; // printf("%d %d %d!!!\n", i, j, k); f[i][j][k] = n; if (i > 0) f[i][j][k] += i * f[i - 1][j + 1][k]; if (j > 0) f[i][j][k] += j * f[i][j - 1][k + 1]; if (k > 0) f[i][j][k] += k * f[i][j][k - 1]; f[i][j][k] /= (i + j + k); // printf("%d %d %d %Lf!!!\n", i, j, k, f[i][j][k]); } } } printf("%.10Lf\n", f[num[3]][num[2]][num[1]]); return 0; }
#include <algorithm> #include <cmath> #include <cstdio> #include <cstring> #include <map> #include <queue> #include <set> #include <vector> #define MAXN 305 #define INF 0x3f3f3f3f #define p 1000000007 #define rint register int #define LL long long #define LD long double using namespace std; int n, sum, a[MAXN], num[4]; LD f[MAXN][MAXN][MAXN]; int main() { scanf("%d", &n); for (rint i = 1; i <= n; ++i) { scanf("%d", &a[i]); num[a[i]]++; sum += a[i]; } for (rint x = 1; x <= sum; ++x) { for (rint i = 0; i <= x / 3; ++i) { for (rint j = 0; j <= (x - i * 3) / 2; ++j) { int k = x - i * 3 - j * 2; if (i + j + k > n) continue; // printf("%d %d %d!!!\n", i, j, k); f[i][j][k] = n; if (i > 0) f[i][j][k] += i * f[i - 1][j + 1][k]; if (j > 0) f[i][j][k] += j * f[i][j - 1][k + 1]; if (k > 0) f[i][j][k] += k * f[i][j][k - 1]; f[i][j][k] /= (i + j + k); // printf("%d %d %d %Lf!!!\n", i, j, k, f[i][j][k]); } } } printf("%.10Lf\n", f[num[3]][num[2]][num[1]]); return 0; }
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0
p03169
C++
Runtime Error
#include <algorithm> #include <bitset> #include <ciso646> #include <cmath> #include <complex> #include <cstdio> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <random> #include <set> #include <stack> #include <string> #include <unordered_map> #include <utility> #include <vector> using namespace std; typedef long long ll; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = (ll)1000000007 * 1000000007; typedef pair<int, int> P; #define stop \ char nyaa; \ cin >> nyaa; #define rep(i, n) for (int i = 0; i < n; i++) #define per(i, n) for (int i = n - 1; i >= 0; i--) #define Rep(i, sta, n) for (int i = sta; i < n; i++) #define rep1(i, n) for (int i = 1; i <= n; i++) #define per1(i, n) for (int i = n; i >= 1; i--) #define Rep1(i, sta, n) for (int i = sta; i <= n; i++) typedef long double ld; typedef complex<ld> Point; const ld eps = 1e-8; const ld pi = acos(-1.0); typedef pair<ll, ll> LP; int n, num[3] = {0}; ld dp[301][301][301] = {0}; void solve() { cin >> n; rep(i, n) { int a; cin >> a; num[a - 1] += 1; } // cout << num[0] << " " << num[1] << " " << num[2] << endl; rep(a3, n + 1) { rep(a2, n + 1) { rep(a1, n + 1) { if (a1 == 0 && a2 == 0 && a3 == 0) continue; dp[a1][a2][a3] = (ld)n / (a1 + a2 + a3); if (a1 >= 1) dp[a1][a2][a3] += ((ld)a1 / (a1 + a2 + a3)) * dp[a1 - 1][a2][a3]; if (a2 >= 1) dp[a1][a2][a3] += ((ld)a2 / (a1 + a2 + a3)) * dp[a1 + 1][a2 - 1][a3]; if (a3 >= 1) dp[a1][a2][a3] += ((ld)a3 / (a1 + a2 + a3)) * dp[a1][a2 + 1][a3 - 1]; // cout << a1 << " " << a2 << " " << a3 << " " << dp[a1][a2][a3] << // endl; } } } cout << dp[num[0]][num[1]][num[2]] << endl; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(10); solve(); }
#include <algorithm> #include <bitset> #include <ciso646> #include <cmath> #include <complex> #include <cstdio> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <random> #include <set> #include <stack> #include <string> #include <unordered_map> #include <utility> #include <vector> using namespace std; typedef long long ll; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = (ll)1000000007 * 1000000007; typedef pair<int, int> P; #define stop \ char nyaa; \ cin >> nyaa; #define rep(i, n) for (int i = 0; i < n; i++) #define per(i, n) for (int i = n - 1; i >= 0; i--) #define Rep(i, sta, n) for (int i = sta; i < n; i++) #define rep1(i, n) for (int i = 1; i <= n; i++) #define per1(i, n) for (int i = n; i >= 1; i--) #define Rep1(i, sta, n) for (int i = sta; i <= n; i++) typedef long double ld; typedef complex<ld> Point; const ld eps = 1e-8; const ld pi = acos(-1.0); typedef pair<ll, ll> LP; int n, num[3] = {0}; ld dp[400][400][400] = {0}; void solve() { cin >> n; rep(i, n) { int a; cin >> a; num[a - 1] += 1; } // cout << num[0] << " " << num[1] << " " << num[2] << endl; rep(a3, n + 1) { rep(a2, n + 1) { rep(a1, n + 1) { if (a1 == 0 && a2 == 0 && a3 == 0) continue; dp[a1][a2][a3] = (ld)n / (a1 + a2 + a3); if (a1 >= 1) dp[a1][a2][a3] += ((ld)a1 / (a1 + a2 + a3)) * dp[a1 - 1][a2][a3]; if (a2 >= 1) dp[a1][a2][a3] += ((ld)a2 / (a1 + a2 + a3)) * dp[a1 + 1][a2 - 1][a3]; if (a3 >= 1) dp[a1][a2][a3] += ((ld)a3 / (a1 + a2 + a3)) * dp[a1][a2 + 1][a3 - 1]; // cout << a1 << " " << a2 << " " << a3 << " " << dp[a1][a2][a3] << // endl; } } } cout << dp[num[0]][num[1]][num[2]] << endl; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(10); solve(); }
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-11
p03169
C++
Runtime Error
#include <algorithm> #include <assert.h> #include <bitset> #include <cmath> #include <cstdlib> #include <fstream> #include <functional> #include <iostream> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <unordered_map> #include <vector> using namespace std; typedef long long ll; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<char> vc; typedef vector<string> vs; typedef vector<bool> vb; typedef vector<double> vd; typedef pair<ll, ll> P; typedef pair<int, int> pii; typedef vector<P> vpl; typedef tuple<ll, ll, ll> tapu; #define rep(i, n) for (int i = 0; i < (n); i++) #define REP(i, a, b) for (int i = (a); i < (b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = 1 << 30; const ll linf = 1LL << 62; const int MAX = 510000; ll dy[8] = {1, -1, 0, 0, 1, -1, 1, -1}; ll dx[8] = {0, 0, 1, -1, 1, -1, -1, 1}; const double pi = acos(-1); const double eps = 1e-7; template <typename T1, typename T2> inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return true; } else return false; } template <typename T1, typename T2> inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return true; } else return false; } template <typename T> inline void print(T &a) { rep(i, a.size()) cout << a[i] << " "; cout << "\n"; } template <typename T1, typename T2> inline void print2(T1 a, T2 b) { cout << a << " " << b << "\n"; } template <typename T1, typename T2, typename T3> inline void print3(T1 a, T2 b, T3 c) { cout << a << " " << b << " " << c << "\n"; } const int mod = 1e9 + 7; // const int mod = 998244353; double dp[103][103][103]; vl cnt(3); ll n; double rec(ll x, ll y, ll z) { if (dp[x][y][z] != -1) return dp[x][y][z]; dp[x][y][z] = 0.0; double num = 1.0 * n / (double)x; if (x != y) { dp[x][y][z] += (rec(x - 1, y, z) + num) * (x - y) / (double)x; } if (y != z) { dp[x][y][z] += (rec(x, y - 1, z) + num) * (y - z) / (double)x; } if (z > 0) { dp[x][y][z] += (rec(x, y, z - 1) + num) * z / (double)x; } return dp[x][y][z]; } int main() { cin >> n; vl a(n); rep(i, n) cin >> a[i], a[i]--; rep(i, n) cnt[a[i]]++; cnt[1] += cnt[2]; cnt[0] += cnt[1]; rep(i, cnt[0] + 1) rep(j, cnt[1] + 1) rep(k, cnt[2] + 1) dp[i][j][k] = -1; dp[0][0][0] = 0; printf("%.10f\n", rec(cnt[0], cnt[1], cnt[2])); }
#include <algorithm> #include <assert.h> #include <bitset> #include <cmath> #include <cstdlib> #include <fstream> #include <functional> #include <iostream> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <unordered_map> #include <vector> using namespace std; typedef long long ll; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<char> vc; typedef vector<string> vs; typedef vector<bool> vb; typedef vector<double> vd; typedef pair<ll, ll> P; typedef pair<int, int> pii; typedef vector<P> vpl; typedef tuple<ll, ll, ll> tapu; #define rep(i, n) for (int i = 0; i < (n); i++) #define REP(i, a, b) for (int i = (a); i < (b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = 1 << 30; const ll linf = 1LL << 62; const int MAX = 510000; ll dy[8] = {1, -1, 0, 0, 1, -1, 1, -1}; ll dx[8] = {0, 0, 1, -1, 1, -1, -1, 1}; const double pi = acos(-1); const double eps = 1e-7; template <typename T1, typename T2> inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return true; } else return false; } template <typename T1, typename T2> inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return true; } else return false; } template <typename T> inline void print(T &a) { rep(i, a.size()) cout << a[i] << " "; cout << "\n"; } template <typename T1, typename T2> inline void print2(T1 a, T2 b) { cout << a << " " << b << "\n"; } template <typename T1, typename T2, typename T3> inline void print3(T1 a, T2 b, T3 c) { cout << a << " " << b << " " << c << "\n"; } const int mod = 1e9 + 7; // const int mod = 998244353; double dp[303][303][303]; vl cnt(3); ll n; double rec(ll x, ll y, ll z) { if (dp[x][y][z] != -1) return dp[x][y][z]; dp[x][y][z] = 0.0; double num = 1.0 * n / (double)x; if (x != y) { dp[x][y][z] += (rec(x - 1, y, z) + num) * (x - y) / (double)x; } if (y != z) { dp[x][y][z] += (rec(x, y - 1, z) + num) * (y - z) / (double)x; } if (z > 0) { dp[x][y][z] += (rec(x, y, z - 1) + num) * z / (double)x; } return dp[x][y][z]; } int main() { cin >> n; vl a(n); rep(i, n) cin >> a[i], a[i]--; rep(i, n) cnt[a[i]]++; cnt[1] += cnt[2]; cnt[0] += cnt[1]; rep(i, cnt[0] + 1) rep(j, cnt[1] + 1) rep(k, cnt[2] + 1) dp[i][j][k] = -1; dp[0][0][0] = 0; printf("%.10f\n", rec(cnt[0], cnt[1], cnt[2])); }
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0
p03169
C++
Time Limit Exceeded
#include <algorithm> #include <climits> #include <cstring> #include <fstream> #include <iomanip> #include <iostream> #include <math.h> #include <set> #include <unordered_map> #include <vector> using namespace std; #define ll long long #define mod 1000000007 double dp[301][301][301]; double solve_ite(int *a, int n, int one, int two, int three) { for (int i = 0; i <= three; i++) { for (int j = 0; j <= two + 3 * three / 2 + 1; j++) { for (int k = 0; k <= one + 2 * two + 3 * three + 2; k++) { if (i != 0 or j != 0 or k != 0) { dp[i][j][k] = n / (double)(i + j + k); } if (k > 0) { dp[i][j][k] += k / (double)(i + j + k) * dp[i][j][k - 1]; } if (j > 0) { dp[i][j][k] += j / (double)(i + j + k) * dp[i][j - 1][k + 1]; } if (i > 0) { dp[i][j][k] += i / (double)(i + j + k) * dp[i - 1][j + 1][k]; } } } } return dp[three][two][one]; } int main() { int n; cin >> n; int a[n]; int one = 0, two = 0, three = 0; for (int i = 0; i < n; ++i) { cin >> a[i]; if (a[i] == 1) one++; if (a[i] == 2) two++; if (a[i] == 3) three++; } for (int i = 0; i < 301; ++i) for (int j = 0; j < 301; ++j) for (int k = 0; k < 301; ++k) dp[i][j][k] = 0; cout << setprecision(14) << solve_ite(a, n, one, two, three); return 0; }
#include <algorithm> #include <climits> #include <cstring> #include <fstream> #include <iomanip> #include <iostream> #include <math.h> #include <set> #include <unordered_map> #include <vector> using namespace std; #define ll long long #define mod 1000000007 double dp[301][301][301]; double solve_ite(int *a, int n, int one, int two, int three) { for (int i = 0; i <= three; i++) { for (int j = 0; j <= two + three; j++) { for (int k = 0; k <= one + two + three; k++) { if (i != 0 or j != 0 or k != 0) { dp[i][j][k] = n / (double)(i + j + k); } if (k > 0) { dp[i][j][k] += k / (double)(i + j + k) * dp[i][j][k - 1]; } if (j > 0) { dp[i][j][k] += j / (double)(i + j + k) * dp[i][j - 1][k + 1]; } if (i > 0) { dp[i][j][k] += i / (double)(i + j + k) * dp[i - 1][j + 1][k]; } } } } return dp[three][two][one]; } int main() { int n; cin >> n; int a[n]; int one = 0, two = 0, three = 0; for (int i = 0; i < n; ++i) { cin >> a[i]; if (a[i] == 1) one++; if (a[i] == 2) two++; if (a[i] == 3) three++; } for (int i = 0; i < 301; ++i) for (int j = 0; j < 301; ++j) for (int k = 0; k < 301; ++k) dp[i][j][k] = 0; cout << setprecision(14) << solve_ite(a, n, one, two, three); return 0; }
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TLE
p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; using ld = long double; int main() { int n; cin >> n; vector<int> a(n); for (int i = 0; i < n; i++) cin >> a[i]; vector<vector<vector<ld>>> dp( n + 1, vector<vector<ld>>(n + 1, vector<ld>(n + 1, 0))); vector<ld> weight(n + 1, 0); for (int i = 0; i <= n; i++) { ld x = 1; for (int j = 0; j <= 100000; j++) { weight[i] += (j + 1) * x; x = x * i / n; } } for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { for (int k = 0; k <= n; k++) { if (i + j + k > n) continue; ld x = n - (i + j + k); if (i > 0) { dp[i][j][k] += dp[i - 1][j + 1][k] * i / (n - x) + weight[x] * i / n; } if (j > 0) { dp[i][j][k] += dp[i][j - 1][k + 1] * j / (n - x) + weight[x] * j / n; } if (k > 0) { dp[i][j][k] += dp[i][j][k - 1] * k / (n - x) + weight[x] * k / n; } } } } int k = count(a.begin(), a.end(), 1); int j = count(a.begin(), a.end(), 2); int i = count(a.begin(), a.end(), 3); cout << fixed << setprecision(10); cout << dp[i][j][k] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ld = long double; int main() { int n; cin >> n; vector<int> a(n); for (int i = 0; i < n; i++) cin >> a[i]; vector<vector<vector<ld>>> dp( n + 1, vector<vector<ld>>(n + 1, vector<ld>(n + 1, 0))); vector<ld> weight(n + 1, 0); for (int i = 0; i <= n; i++) { ld x = 1; for (int j = 0; j <= 10000; j++) { weight[i] += (j + 1) * x; x = x * i / n; } } for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { for (int k = 0; k <= n; k++) { if (i + j + k > n) continue; ld x = n - (i + j + k); if (i > 0) { dp[i][j][k] += dp[i - 1][j + 1][k] * i / (n - x) + weight[x] * i / n; } if (j > 0) { dp[i][j][k] += dp[i][j - 1][k + 1] * j / (n - x) + weight[x] * j / n; } if (k > 0) { dp[i][j][k] += dp[i][j][k - 1] * k / (n - x) + weight[x] * k / n; } } } } int k = count(a.begin(), a.end(), 1); int j = count(a.begin(), a.end(), 2); int i = count(a.begin(), a.end(), 3); cout << fixed << setprecision(10); cout << dp[i][j][k] << endl; return 0; }
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TLE
p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define rep(i, n) for (ll i = 0; i < (n); ++i) using namespace std; typedef long long ll; typedef pair<ll, ll> P; const ll INF = 1e18; double dp[305][305][305]; bool check[305][305][305]; double n; double calc(ll a, ll b, ll c) { if (check[a][b][c] == true) { // cout<<"true"<<endl; return dp[a][b][c]; } double p0 = double((n - a - b - c) / n); double p1 = double(a / n); double p2 = double(b / n); double p3 = double(c / n); double now = 1; // cout<<n<<"n"<<(n-a-b-c)<<"a"<<endl; if (a > 0) now += p1 * calc(a - 1, b, c); if (b > 0) now += p2 * calc(a + 1, b - 1, c); if (c > 0) now += p3 * calc(a, b + 1, c - 1); // cout<<now<<"now"<<p0<<"p0"<<endl; dp[a][b][c] = double(now / (1 - p0)); check[a][b][c] == true; // cout<<dp[a][b][c]<<"a"<<a<<"b"<<b<<"c"<<c<<endl; return dp[a][b][c]; } int main() { cin >> n; vector<ll> a(n); vector<ll> c(3, 0); rep(i, n) { cin >> a[i]; if (a[i] == 1) c[0]++; if (a[i] == 2) c[1]++; if (a[i] == 3) c[2]++; } // dp[0][0][0]=0; rep(i, 305) rep(j, 305) rep(k, 305) { dp[i][j][k] = 0; check[i][j][k] = false; } check[0][0][0] = true; rep(i, c[0] + 1) rep(j, c[1] + 1) rep(k, c[2] + 1) { dp[i][j][k] = calc(i, j, k); check[i][j][k] = true; } // cout<<c[0]<<endl; cout << setprecision(10) << dp[c[0]][c[1]][c[2]]; }
#include <bits/stdc++.h> #define rep(i, n) for (ll i = 0; i < (n); ++i) using namespace std; typedef long long ll; typedef pair<ll, ll> P; const ll INF = 1e18; double dp[305][305][305]; bool check[305][305][305]; double n; double calc(ll a, ll b, ll c) { if (check[a][b][c] == true) { // cout<<"true"<<endl; return dp[a][b][c]; } double p0 = double((n - a - b - c) / n); double p1 = double(a / n); double p2 = double(b / n); double p3 = double(c / n); double now = 1; // cout<<n<<"n"<<(n-a-b-c)<<"a"<<endl; if (a > 0) now += p1 * calc(a - 1, b, c); if (b > 0) now += p2 * calc(a + 1, b - 1, c); if (c > 0) now += p3 * calc(a, b + 1, c - 1); // cout<<now<<"now"<<p0<<"p0"<<endl; dp[a][b][c] = double(now / (1 - p0)); check[a][b][c] = true; // cout<<dp[a][b][c]<<"a"<<a<<"b"<<b<<"c"<<c<<endl; return dp[a][b][c]; } int main() { cin >> n; vector<ll> a(n); vector<ll> c(3, 0); rep(i, n) { cin >> a[i]; if (a[i] == 1) c[0]++; if (a[i] == 2) c[1]++; if (a[i] == 3) c[2]++; } // dp[0][0][0]=0; rep(i, 305) rep(j, 305) rep(k, 305) { dp[i][j][k] = 0; check[i][j][k] = false; } check[0][0][0] = true; rep(i, c[0] + 1) rep(j, c[1] + 1) rep(k, c[2] + 1) { dp[i][j][k] = calc(i, j, k); check[i][j][k] = true; } // cout<<c[0]<<endl; cout << setprecision(10) << dp[c[0]][c[1]][c[2]]; }
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TLE
p03169
C++
Runtime Error
/* * author: Gary Shih * created: 2020-05-04 13:27:07 */ #pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0), cin.tie(0), cout.setf(ios::fixed), cout.precision(9); int n; cin >> n; int c1 = 0, c2 = 0, c3 = 0; for (int i = 0; i < n; ++i) { int a; cin >> a; if (a == 1) ++c1; if (a == 2) ++c2; if (a == 3) ++c3; } int maxSushi = 900; vector<vector<vector<double>>> dp( maxSushi + 1, vector<vector<double>>(maxSushi / 2 + 1, vector<double>(maxSushi / 3 + 1))); for (int total = 1; total <= c1 + 2 * c2 + 3 * c3; ++total) { for (int i = 0; i <= total; ++i) for (int j = 0; j <= (total - i); ++j) { if ((total - i - 2 * j) % 3 != 0) continue; int k = (total - i - 2 * j) / 3; int rest = i + j + k; double prev = 0.0; if (i > 0) prev += dp[i - 1][j][k] * i / n; if (j > 0) prev += dp[i + 1][j - 1][k] * j / n; if (k > 0) prev += dp[i][j + 1][k - 1] * k / n; dp[i][j][k] = (prev + 1) * n / rest; } } cout << dp[c1][c2][c3] << '\n'; }
/* * author: Gary Shih * created: 2020-05-04 13:27:07 */ #pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0), cin.tie(0), cout.setf(ios::fixed), cout.precision(9); int n; cin >> n; int c1 = 0, c2 = 0, c3 = 0; for (int i = 0; i < n; ++i) { int a; cin >> a; if (a == 1) ++c1; if (a == 2) ++c2; if (a == 3) ++c3; } int maxSushi = 900; vector<vector<vector<double>>> dp( maxSushi + 1, vector<vector<double>>(maxSushi / 2 + 1, vector<double>(maxSushi / 3 + 1))); for (int total = 1; total <= c1 + 2 * c2 + 3 * c3; ++total) { for (int i = 0; i <= total; ++i) for (int j = 0; j <= (total - i) / 2; ++j) { if ((total - i - 2 * j) % 3 != 0) continue; int k = (total - i - 2 * j) / 3; int rest = i + j + k; double prev = 0.0; if (i > 0) prev += dp[i - 1][j][k] * i / n; if (j > 0) prev += dp[i + 1][j - 1][k] * j / n; if (k > 0) prev += dp[i][j + 1][k - 1] * k / n; dp[i][j][k] = (prev + 1) * n / rest; } } cout << dp[c1][c2][c3] << '\n'; }
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-6
terminate called after throwing an instance of 'std::bad_alloc' what(): std::bad_alloc
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long double ld; typedef long long ll; typedef unsigned long long ull; const int MX = 307; ld b[MX + 5][MX + 5][MX + 5]; int main() { int n; scanf("%d", &n); int c[3]; for (int i = 0; i < n; i++) { int l; cin >> l; if (l > 0) c[l - 1] += 1; } b[0][0][0] = 0.0; for (int k = 0; k < MX; k++) { for (int j = 0; k + j < MX; j++) { for (int i = 0; i + j + k < MX; i++) { if (i == 0 && j == 0 && k == 0) continue; b[i][j][k] += 1.0 * n / (i + j + k); b[i + 1][j][k] += b[i][j][k] * 1.0 * (i + 1) / (i + 1 + j + k); if (i) b[i - 1][j + 1][k] += b[i][j][k] * 1.0 * (j + 1) / (i + j + k); if (j) b[i][j - 1][k + 1] += b[i][j][k] * 1.0 * (k + 1) / (i + j + k); } } } cout << fixed << setprecision(10) << b[c[0]][c[1]][c[2]]; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long double ld; typedef long long ll; typedef unsigned long long ull; const int MX = 307; ld b[MX + 5][MX + 5][MX + 5]; int main() { int n; scanf("%d", &n); int c[3] = {0, 0, 0}; for (int i = 0; i < n; i++) { int l; cin >> l; if (l > 0) c[l - 1] += 1; } b[0][0][0] = 0.0; for (int k = 0; k < MX; k++) { for (int j = 0; k + j < MX; j++) { for (int i = 0; i + j + k < MX; i++) { if (i == 0 && j == 0 && k == 0) continue; b[i][j][k] += 1.0 * n / (i + j + k); b[i + 1][j][k] += b[i][j][k] * 1.0 * (i + 1) / (i + 1 + j + k); if (i) b[i - 1][j + 1][k] += b[i][j][k] * 1.0 * (j + 1) / (i + j + k); if (j) b[i][j - 1][k + 1] += b[i][j][k] * 1.0 * (k + 1) / (i + j + k); } } } cout << fixed << setprecision(10) << b[c[0]][c[1]][c[2]]; return 0; }
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-11
p03169
C++
Runtime Error
#include <algorithm> #include <cmath> #include <cstdio> #include <iostream> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <vector> using namespace std; #define MOD 1000000007 #define INF (1 << 29) #define EPS (1e-10) typedef long long Int; typedef pair<Int, Int> P; #define max(x, y) ((x) > (y) ? (x) : (y)) #define min(x, y) ((x) < (y) ? (x) : (y)) double dp[301][301][301]; bool done[301][301][301]; int n, a; int cnt[3]; double solve(int i, int j, int k) { if (done[i][j][k]) return dp[i][j][k]; done[i][j][k] = true; double &res = dp[i][j][k]; double p = 1. * (i + j + k) / n; if (i) { double p0 = 1. * i / n; res += (solve(i - 1, j, k) + 1 / p) * i / (i + j + k); } if (j) { double p0 = 1. * j / n; res += (solve(i + 1, j - 1, k) + 1 / p) * j / (i + j + k); } if (k) { double p0 = 1. * k / n; res += (solve(i, j + 1, k - 1) + 1 / p) * k / (i + j + k); } // cout << i << " " << j <<" " << k <<" " << res << endl; return res; } int main() { done[0][0][0] = true; cin >> n; for (int i = 0; i < n; i++) { cin >> a; cnt[a]++; } for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if (i + j + k > n) continue; } } } printf("%.10lf\n", solve(cnt[1], cnt[2], cnt[3])); return 0; }
#include <algorithm> #include <cmath> #include <cstdio> #include <iostream> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <vector> using namespace std; #define MOD 1000000007 #define INF (1 << 29) #define EPS (1e-10) typedef long long Int; typedef pair<Int, Int> P; #define max(x, y) ((x) > (y) ? (x) : (y)) #define min(x, y) ((x) < (y) ? (x) : (y)) double dp[301][301][301]; bool done[301][301][301]; int n, a; int cnt[4]; double solve(int i, int j, int k) { if (done[i][j][k]) return dp[i][j][k]; done[i][j][k] = true; double &res = dp[i][j][k]; double p = 1. * (i + j + k) / n; if (i) { double p0 = 1. * i / n; res += (solve(i - 1, j, k) + 1 / p) * i / (i + j + k); } if (j) { double p0 = 1. * j / n; res += (solve(i + 1, j - 1, k) + 1 / p) * j / (i + j + k); } if (k) { double p0 = 1. * k / n; res += (solve(i, j + 1, k - 1) + 1 / p) * k / (i + j + k); } // cout << i << " " << j <<" " << k <<" " << res << endl; return res; } int main() { done[0][0][0] = true; cin >> n; for (int i = 0; i < n; i++) { cin >> a; cnt[a]++; } for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if (i + j + k > n) continue; } } } printf("%.10lf\n", solve(cnt[1], cnt[2], cnt[3])); return 0; }
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-11
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef double ll; int main() { int n; cin >> n; int a1 = 0, a2 = 0, a3 = 0; ll dp[n + 1][n + 1][n + 1]; for (int i = 0; i < n; ++i) { ll x; cin >> x; if (x == 1) a1++; if (x == 2) a2++; if (x == 3) a3++; } dp[0][0][0] = 0; for (int i = 1; i <= n; ++i) { dp[i][0][0] = (dp[i - 1][0][0] + 1) + (ll)((ll)(n - i) / i); } for (int j = 1; j <= n; ++j) { for (int i = 0; i <= n; ++i) { if (i > 0) dp[i][j][0] = (n - i - j + (dp[i - 1][j][0] + 1) * (i) + (dp[i + 1][j - 1][0] + 1) * (j)) / ((ll)(i + j)); else dp[i][j][0] = (n - j + (dp[i + 1][j - 1][0] + 1) * (j)) / ((ll)j); } } for (int k = 1; k <= n; ++k) { for (int j = 0; j < n; ++j) { for (int i = 0; i < n; ++i) { if (i > 0 && j > 0) dp[i][j][k] = (n - i - j - k + (dp[i - 1][j][k] + 1) * (i) + (dp[i + 1][j - 1][k] + 1) * (j) + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(i + k + j)); else if (i > 0) dp[i][j][k] = (n - i - k + (dp[i - 1][j][k] + 1) * (i) + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(i + k)); else if (j > 0) dp[i][j][k] = (n - j - k + (dp[i + 1][j - 1][k] + 1) * (j) + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(k + j)); else dp[i][j][k] = (n - k + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(k)); } } } printf("%0.15lf\n", dp[a1][a2][a3]); }
#include <bits/stdc++.h> using namespace std; typedef double ll; int main() { int n; cin >> n; int a1 = 0, a2 = 0, a3 = 0; ll dp[n + 1][n + 1][n + 1]; for (int i = 0; i < n; ++i) { ll x; cin >> x; if (x == 1) a1++; if (x == 2) a2++; if (x == 3) a3++; } dp[0][0][0] = 0; for (int i = 1; i <= n; ++i) { dp[i][0][0] = (dp[i - 1][0][0] + 1) + (ll)((ll)(n - i) / i); } for (int j = 1; j <= n; ++j) { for (int i = 0; i < n; ++i) { if (i > 0) dp[i][j][0] = (n - i - j + (dp[i - 1][j][0] + 1) * (i) + (dp[i + 1][j - 1][0] + 1) * (j)) / ((ll)(i + j)); else dp[i][j][0] = (n - j + (dp[i + 1][j - 1][0] + 1) * (j)) / ((ll)j); } } for (int k = 1; k <= n; ++k) { for (int j = 0; j < n; ++j) { for (int i = 0; i < n; ++i) { if (i > 0 && j > 0) dp[i][j][k] = (n - i - j - k + (dp[i - 1][j][k] + 1) * (i) + (dp[i + 1][j - 1][k] + 1) * (j) + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(i + k + j)); else if (i > 0) dp[i][j][k] = (n - i - k + (dp[i - 1][j][k] + 1) * (i) + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(i + k)); else if (j > 0) dp[i][j][k] = (n - j - k + (dp[i + 1][j - 1][k] + 1) * (j) + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(k + j)); else dp[i][j][k] = (n - k + (dp[i][j + 1][k - 1] + 1) * (k)) / ((ll)(k)); } } } printf("%0.15lf\n", dp[a1][a2][a3]); }
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0
p03169
C++
Time Limit Exceeded
#include <iomanip> #include <iostream> using namespace std; int A, B, C; int n; double dp[301][301][301]; double foo(int A, int B, int C) { if (dp[A][B][C] != -1) return dp[A][B][C]; double nn = n; double AA = A; double BB = B; double CC = C; double res = 0; if (A != 0) { double E1 = (foo(A - 1, B, C) + 1.0) * AA / nn; res += E1; } if (B != 0) { double E1 = (foo(A + 1, B - 1, C) + 1.0) * BB / nn; res += E1; } if (C != 0) { double E1 = (foo(A, B + 1, C - 1) + 1.0) * CC / nn; res += E1; } double kl = 1.0 - (AA + BB + CC) / nn; res += kl; res /= (1.0 - kl); // dp[A][B][C] = res; return res; } int main() { A = 0; B = 0; C = 0; for (int i = 0; i < 301; ++i) { for (int j = 0; j < 301; ++j) { for (int k = 0; k < 301; ++k) { dp[i][j][k] = -1; } } } dp[0][0][0] = 0; cin >> n; for (int i = 0; i < n; ++i) { int a; cin >> a; if (a == 1) A++; else if (a == 2) B++; else if (a == 3) C++; } cout << fixed << setprecision(10) << foo(A, B, C); return 0; }
#include <iomanip> #include <iostream> using namespace std; int A, B, C; int n; double dp[301][301][301]; double foo(int A, int B, int C) { if (dp[A][B][C] != -1) return dp[A][B][C]; double nn = n; double AA = A; double BB = B; double CC = C; double res = 0; if (A != 0) { double E1 = (foo(A - 1, B, C) + 1.0) * AA / nn; res += E1; } if (B != 0) { double E1 = (foo(A + 1, B - 1, C) + 1.0) * BB / nn; res += E1; } if (C != 0) { double E1 = (foo(A, B + 1, C - 1) + 1.0) * CC / nn; res += E1; } double kl = 1.0 - (AA + BB + CC) / nn; res += kl; res /= (1.0 - kl); dp[A][B][C] = res; return res; } int main() { A = 0; B = 0; C = 0; for (int i = 0; i < 301; ++i) { for (int j = 0; j < 301; ++j) { for (int k = 0; k < 301; ++k) { dp[i][j][k] = -1; } } } dp[0][0][0] = 0; cin >> n; for (int i = 0; i < n; ++i) { int a; cin >> a; if (a == 1) A++; else if (a == 2) B++; else if (a == 3) C++; } cout << fixed << setprecision(10) << foo(A, B, C); return 0; }
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TLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> #define N 101 using namespace std; int n, a, b, c, x; double dp[N][N][N]; double f(int a, int b, int c) { if (a == 0 && b == 0 && c == 0) return 0; if (a < 0 || b < 0 || c < 0) return 0; if (dp[a][b][c] != 0) return dp[a][b][c]; double ea, eb, ec, ans; ea = f(a - 1, b, c); eb = f(a + 1, b - 1, c); ec = f(a, b + 1, c - 1); ans = (a * ea + b * eb + c * ec + n) / (a + b + c); // printf("(%d %d %d) -> %.2lf\n",a,b,c,ans); return dp[a][b][c] = ans; } int main() { cin >> n; for (int i = 0; i < n; i++) { cin >> x; if (x == 1) a++; if (x == 2) b++; if (x == 3) c++; } printf("%.20lf\n", f(a, b, c)); return 0; }
#include <bits/stdc++.h> #define N 301 using namespace std; int n, a, b, c, x; double dp[N][N][N]; double f(int a, int b, int c) { if (a == 0 && b == 0 && c == 0) return 0; if (a < 0 || b < 0 || c < 0) return 0; if (dp[a][b][c] != 0) return dp[a][b][c]; double ea, eb, ec, ans; ea = f(a - 1, b, c); eb = f(a + 1, b - 1, c); ec = f(a, b + 1, c - 1); ans = (a * ea + b * eb + c * ec + n) / (a + b + c); // printf("(%d %d %d) -> %.2lf\n",a,b,c,ans); return dp[a][b][c] = ans; } int main() { cin >> n; for (int i = 0; i < n; i++) { cin >> x; if (x == 1) a++; if (x == 2) b++; if (x == 3) c++; } printf("%.20lf\n", f(a, b, c)); return 0; }
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0
p03169
C++
Runtime Error
/* -------------- | / | | / | | / | * |/ | | ------ * | | | | / \ | | |\ | | | |\ | \ | | | \ | | | | \ | \ | | | \ | | \ / \ | V | | \ \__/| ----- \ | */ #include <bits/stdc++.h> using namespace std; #define EmiliaMyWife \ ios::sync_with_stdio(0); \ cin.tie(NULL); #define mem(i, j) memset(i, j, sizeof(i)); using ll = int64_t; using ull = uint64_t; using ld = long double; using uint = uint32_t; const double EPS = 1e-8; const int INF = 0x3F3F3F3F; const ll LINF = 4611686018427387903; const int MOD = 1e9 + 7; /*-----------------------------------------------------------------------------------------------------*/ const int N = 50; double dp[N + 2][N + 2][N + 2]; signed main() { EmiliaMyWife int n; cin >> n; int a[4] = {0}; for (int i = 0, x; i < n; i++) cin >> x, a[x]++; for (int k = 0; k <= N; k++) for (int j = 0; j <= N; j++) for (int i = 0; i <= N; i++) { if (i) dp[i][j][k] += (dp[i - 1][j][k]) * i / n; if (j) dp[i][j][k] += (dp[i + 1][j - 1][k]) * j / n; if (k) dp[i][j][k] += (dp[i][j + 1][k - 1]) * k / n; if (i + j + k) dp[i][j][k] = (dp[i][j][k] + 1) * n / (i + j + k); } cout << setprecision(10); cout << dp[a[1]][a[2]][a[3]] << '\n'; return 0; }
/* -------------- | / | | / | | / | * |/ | | ------ * | | | | / \ | | |\ | | | |\ | \ | | | \ | | | | \ | \ | | | \ | | \ / \ | V | | \ \__/| ----- \ | */ #include <bits/stdc++.h> using namespace std; #define EmiliaMyWife \ ios::sync_with_stdio(0); \ cin.tie(NULL); #define mem(i, j) memset(i, j, sizeof(i)); using ll = int64_t; using ull = uint64_t; using ld = long double; using uint = uint32_t; const double EPS = 1e-8; const int INF = 0x3F3F3F3F; const ll LINF = 4611686018427387903; const int MOD = 1e9 + 7; /*-----------------------------------------------------------------------------------------------------*/ const int N = 300; double dp[N + 2][N + 2][N + 2]; signed main() { EmiliaMyWife int n; cin >> n; int a[4] = {0}; for (int i = 0, x; i < n; i++) cin >> x, a[x]++; for (int k = 0; k <= N; k++) for (int j = 0; j <= N; j++) for (int i = 0; i <= N; i++) { if (i) dp[i][j][k] += (dp[i - 1][j][k]) * i / n; if (j) dp[i][j][k] += (dp[i + 1][j - 1][k]) * j / n; if (k) dp[i][j][k] += (dp[i][j + 1][k - 1]) * k / n; if (i + j + k) dp[i][j][k] = (dp[i][j][k] + 1) * n / (i + j + k); } cout << setprecision(10); cout << dp[a[1]][a[2]][a[3]] << '\n'; return 0; }
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0
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; const ll INF = 1001001001; const ll mod = 1000000007; int N; double dp[101][101][101]; double rec(int i, int j, int k) { if (i + j + k == 0) return 0; if (dp[i][j][k] > 0) return dp[i][j][k]; double p0 = (double)(N - i - j - k) / N; double p1 = (double)i / N; double p2 = (double)j / N; double p3 = (double)k / N; double res = 1; if (i > 0) res += rec(i - 1, j, k) * p1; if (j > 0) res += rec(i + 1, j - 1, k) * p2; if (k > 0) res += rec(i, j + 1, k - 1) * p3; res /= 1 - p0; return dp[i][j][k] = res; } int main() { cin >> N; int a[3] = {}; for (int i = 0; i < N; ++i) { int x; cin >> x; x--; a[x]++; } printf("%.10f\n", rec(a[0], a[1], a[2])); }
#include <bits/stdc++.h> using namespace std; using ll = long long; const ll INF = 1001001001; const ll mod = 1000000007; int N; double dp[301][301][301]; double rec(int i, int j, int k) { if (i + j + k == 0) return 0; if (dp[i][j][k] > 0) return dp[i][j][k]; double p0 = (double)(N - i - j - k) / N; double p1 = (double)i / N; double p2 = (double)j / N; double p3 = (double)k / N; double res = 1; if (i > 0) res += rec(i - 1, j, k) * p1; if (j > 0) res += rec(i + 1, j - 1, k) * p2; if (k > 0) res += rec(i, j + 1, k - 1) * p3; res /= 1 - p0; return dp[i][j][k] = res; } int main() { cin >> N; int a[3] = {}; for (int i = 0; i < N; ++i) { int x; cin >> x; x--; a[x]++; } printf("%.10f\n", rec(a[0], a[1], a[2])); }
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0
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; double dp[301][301][301]; int n, a[4]; int main() { cin >> n; for (int i = 0; i < n; i += 1) { int b; cin >> b; a[b] += 1; } for (int sum = 1; sum <= a[1] + a[2] * 2 + a[3] * 3; sum += 1) { for (int k = 0; 3 * k <= sum && k <= n; k += 1) { for (int j = 0; 3 * k + 2 * j <= sum && j <= n; j += 1) { int i = sum - 2 * j - 3 * k; if (i > n) { continue; } dp[i][j][k] = ((i > 0 ? i * (1.0 + dp[i - 1][j][k]) : 0.0) + (j > 0 ? j * (1.0 + dp[i + 1][j - 1][k]) : 0.0) + (k > 0 ? k * (1.0 + dp[i][j + 1][k - 1]) : 0.0) + double(n - i - j - k)) / double(i + j + k); } } } cout << setprecision(9) << fixed; cout << dp[a[1]][a[2]][a[3]] << endl; }
#include <bits/stdc++.h> using namespace std; double dp[303][303][303]; int n, a[4]; int main() { cin >> n; for (int i = 0; i < n; i += 1) { int b; cin >> b; a[b] += 1; } for (int sum = 1; sum <= a[1] + a[2] * 2 + a[3] * 3; sum += 1) { for (int k = 0; 3 * k <= sum && k <= n; k += 1) { for (int j = 0; 3 * k + 2 * j <= sum && j <= n; j += 1) { int i = sum - 2 * j - 3 * k; if (i > n) { continue; } dp[i][j][k] = ((i > 0 ? i * (1.0 + dp[i - 1][j][k]) : 0.0) + (j > 0 ? j * (1.0 + dp[i + 1][j - 1][k]) : 0.0) + (k > 0 ? k * (1.0 + dp[i][j + 1][k - 1]) : 0.0) + double(n - i - j - k)) / double(i + j + k); } } } cout << setprecision(9) << fixed; cout << dp[a[1]][a[2]][a[3]] << endl; }
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-11
p03169
C++
Runtime Error
#include <algorithm> #include <cctype> #include <chrono> #include <cmath> #include <iomanip> #include <iostream> #include <limits> #include <list> #include <map> #include <numeric> #include <queue> #include <random> #include <set> #include <stack> #include <string> #include <utility> #include <vector> #define rep(i, p, q) for (ll i = p; i < q; i++) #define ll long long using namespace std; const long long MAX_N = 1 << 17; long long dat[2 * MAX_N - 1]; ll ecd(ll a, ll b) { if (a < b) swap(a, b); if (b == 0) return a; else { return ecd(b, a % b); } } ll pow(ll a, ll b) { vector<ll> d = vector<ll>((ll)(log(b)) + 2); d[0] = a; rep(i, 1, d.size()) d[i] = d[i - 1] * d[i - 1]; ll ret = 1; rep(i, 0, log(b) + 1) { if (b & 1 << i) ret *= d[i]; } return ret; } // J vector<vector<vector<long double>>> dp; ll n; ll s1, s2, s3; long double rec(ll i, ll j, ll k) { if (dp[i][j][k] >= 0) return dp[i][j][k]; if (i == 0 && j == 0 && k == 0) return 0.0; long double res = 0; if (i > 0) res += rec(i - 1, j, k) * i; if (j > 0) res += rec(i + 1, j - 1, k) * j; if (k > 0) res += rec(i, j + 1, k - 1) * k; res += n; res *= 1.0 / (long double)(i + j + k); return dp[i][j][k] = res; } int main(void) { n; cin >> n; s1 = 0, s2 = 0, s3 = 0; rep(i, 0, n) { ll sushi; cin >> sushi; if (sushi == 1) s1++; else if (sushi == 2) s2++; else s3++; } dp = vector<vector<vector<long double>>>( s1 + 2, vector<vector<long double>>(s2 + 2, vector<long double>(s3 + 2, -1))); cout << rec(s1, s2, s3) << endl; }
#include <algorithm> #include <cctype> #include <chrono> #include <cmath> #include <iomanip> #include <iostream> #include <limits> #include <list> #include <map> #include <numeric> #include <queue> #include <random> #include <set> #include <stack> #include <string> #include <utility> #include <vector> #define rep(i, p, q) for (ll i = p; i < q; i++) #define ll long long using namespace std; const long long MAX_N = 1 << 17; long long dat[2 * MAX_N - 1]; ll ecd(ll a, ll b) { if (a < b) swap(a, b); if (b == 0) return a; else { return ecd(b, a % b); } } ll pow(ll a, ll b) { vector<ll> d = vector<ll>((ll)(log(b)) + 2); d[0] = a; rep(i, 1, d.size()) d[i] = d[i - 1] * d[i - 1]; ll ret = 1; rep(i, 0, log(b) + 1) { if (b & 1 << i) ret *= d[i]; } return ret; } // J vector<vector<vector<long double>>> dp; ll n; ll s1, s2, s3; long double rec(ll i, ll j, ll k) { if (dp[i][j][k] >= 0) return dp[i][j][k]; if (i == 0 && j == 0 && k == 0) return 0.0; long double res = 0; if (i > 0) res += rec(i - 1, j, k) * i; if (j > 0) res += rec(i + 1, j - 1, k) * j; if (k > 0) res += rec(i, j + 1, k - 1) * k; res += n; res *= 1.0 / (long double)(i + j + k); return dp[i][j][k] = res; } int main(void) { n; cin >> n; s1 = 0, s2 = 0, s3 = 0; rep(i, 0, n) { ll sushi; cin >> sushi; if (sushi == 1) s1++; else if (sushi == 2) s2++; else s3++; } dp = vector<vector<vector<long double>>>( 310, vector<vector<long double>>(310, vector<long double>(310, -1))); cout << setprecision(10) << rec(s1, s2, s3) << endl; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef vector<ll> vi; typedef pair<ll, ll> pii; typedef vector<pii> vii; typedef map<ll, ll> mii; const int MOD = 1e9 + 7; #define fastIO() \ ios_base::sync_with_stdio(false); \ cin.tie(nullptr); #define endl "\n" #define pb push_back #define ff first #define ss second #define mp make_pair #define what_is(args...) \ { \ string _s = #args; \ replace(_s.begin(), _s.end(), ',', ' '); \ stringstream _ss(_s); \ istream_iterator<string> _it(_ss); \ err(_it, args); \ } void err(istream_iterator<string> it) {} template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...); } int main() { int N; cin >> N; vi a(N); for (auto &i : a) cin >> i; ld dp[N + 1][N + 1][N + 1]; dp[0][0][0] = 0.0; for (int k = 0; k <= N; ++k) { for (int j = 0; j <= N; ++j) { for (int i = 0; i <= N; ++i) { if (i + j + k <= 0 || i + j + k > N) continue; dp[i][j][k] = 0; if (i >= 1) dp[i][j][k] += ld(i) * dp[i - 1][j][k]; if (j >= 1) dp[i][j][k] += ld(j) * dp[i + 1][j - 1][k]; if (k >= 1) dp[i][j][k] += ld(k) * dp[i][j + 1][k - 1]; assert(i + j + k > 0); dp[i][j][k] = (dp[i][j][k] + N) / (i + j + k); // cerr << i << " " << j << " " <<k << " -> " << dp[i][j][k] << endl; } } } int i, j, k; i = j = k = 0; for (auto x : a) { if (x == 1) ++i; else if (x == 2) ++j; else if (x == 3) ++k; } assert(i + j + k >= 0 && i + j + k <= N); cout << fixed << setprecision(12); cout << dp[i][j][k] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; typedef vector<ll> vi; typedef pair<ll, ll> pii; typedef vector<pii> vii; typedef map<ll, ll> mii; const int MOD = 1e9 + 7; #define fastIO() \ ios_base::sync_with_stdio(false); \ cin.tie(nullptr); #define endl "\n" #define pb push_back #define ff first #define ss second #define mp make_pair #define what_is(args...) \ { \ string _s = #args; \ replace(_s.begin(), _s.end(), ',', ' '); \ stringstream _ss(_s); \ istream_iterator<string> _it(_ss); \ err(_it, args); \ } void err(istream_iterator<string> it) {} template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...); } int main() { int N; cin >> N; vi a(N); for (auto &i : a) cin >> i; int n = 303; vector<vector<vector<ld>>> dp( n + 1, vector<vector<ld>>(n + 1, vector<ld>(n + 1, 0.0))); for (int k = 0; k <= N; ++k) { for (int j = 0; j <= N; ++j) { for (int i = 0; i <= N; ++i) { if (i + j + k <= 0 || i + j + k > N) continue; dp[i][j][k] = 0; if (i >= 1) dp[i][j][k] += ld(i) * dp[i - 1][j][k]; if (j >= 1) dp[i][j][k] += ld(j) * dp[i + 1][j - 1][k]; if (k >= 1) dp[i][j][k] += ld(k) * dp[i][j + 1][k - 1]; assert(i + j + k > 0); dp[i][j][k] = (dp[i][j][k] + N) / (i + j + k); // cerr << i << " " << j << " " <<k << " -> " << dp[i][j][k] << endl; } } } int i, j, k; i = j = k = 0; for (auto x : a) { if (x == 1) ++i; else if (x == 2) ++j; else if (x == 3) ++k; } assert(i + j + k >= 0 && i + j + k <= N); cout << fixed << setprecision(12); cout << dp[i][j][k] << endl; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; vector<int> s(3); for (int i = 0; i < n; i++) { int a; cin >> a; s.at(a - 1)++; } vector<vector<vector<double>>> dp( n + 1, vector<vector<double>>(n + 1, vector<double>(n + 1))); for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if (i == 0 && j == 0 && k == 0) continue; if (i) dp[i][j][k] += i * dp[i - 1][j][k] / (i + j + k); if (j) dp[i][j][k] += j * dp[i + 1][j - 1][k] / (i + j + k); if (k) dp[i][j][k] += k * dp[i][j + 1][k - 1] / (i + j + k); dp[i][j][k] += 1.0 * n / (i + j + k); } } } cout << setprecision(17) << dp[s.at(0)][s.at(1)][s.at(2)] << endl; }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; vector<int> s(3); for (int i = 0; i < n; i++) { int a; cin >> a; s.at(a - 1)++; } vector<vector<vector<double>>> dp( n + 1, vector<vector<double>>(n + 1, vector<double>(n + 1))); for (int k = 0; k <= n; k++) { for (int j = 0; j <= n - k; j++) { for (int i = 0; i <= n - k - j; i++) { if (i == 0 && j == 0 && k == 0) continue; if (i) dp[i][j][k] += i * dp[i - 1][j][k] / (i + j + k); if (j) dp[i][j][k] += j * dp[i + 1][j - 1][k] / (i + j + k); if (k) dp[i][j][k] += k * dp[i][j + 1][k - 1] / (i + j + k); dp[i][j][k] += 1.0 * n / (i + j + k); } } } cout << setprecision(17) << dp[s.at(0)][s.at(1)][s.at(2)] << endl; }
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p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<long long> vi; typedef vector<vi> vvi; typedef pair<long, long> ii; #define sz(a) long((a).size()) #define pb push_back #define mp make_pair #define all(c) (c).begin(), (c).end() #define tr(c, i) for(typeof((c).begin() i = (c).begin(); i != (c).end(); i++) #define present(c, x) ((c).find(x) != (c).end()) #define cpresent(c, x) (find(all(c), x) != (c).end()) #define input(v, n) \ for (ll i = 0; i < n; i++) \ cin >> v[i] #define output(v, n) \ for (ll i = 0; i < n; i++) \ cout << v[i] << " " void __print(int x) { cerr << x; } void __print(long x) { cerr << x; } void __print(long long x) { cerr << x; } void __print(unsigned x) { cerr << x; } void __print(unsigned long x) { cerr << x; } void __print(unsigned long long x) { cerr << x; } void __print(float x) { cerr << x; } void __print(double x) { cerr << x; } void __print(long double x) { cerr << x; } void __print(char x) { cerr << '\'' << x << '\''; } void __print(const char *x) { cerr << '\"' << x << '\"'; } void __print(const string &x) { cerr << '\"' << x << '\"'; } void __print(bool x) { cerr << (x ? "true" : "false"); } template <typename T, typename V> void __print(const pair<T, V> &x) { cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}'; } template <typename T> void __print(const T &x) { int f = 0; cerr << '{'; for (auto &i : x) cerr << (f++ ? "," : ""), __print(i); cerr << "}"; } void _print() { cerr << "]\n"; } template <typename T, typename... V> void _print(T t, V... v) { __print(t); if (sizeof...(v)) cerr << ", "; _print(v...); } #ifndef ONLINE_JUDGE #define debug(x...) \ cerr << "[" << #x << "] = ["; \ _print(x) #else #define debug(x...) #endif double pro[302][302][302]; double ex[302][302][302]; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ll one = 0, two = 0, three = 0; ll n, i, j, k; cin >> n; for (i = 0; i < n; i++) { ll x; cin >> x; if (x == 1) one++; if (x == 2) two++; if (x == 3) three++; } pro[three][two][one] = 1; for (i = n; i >= 0; i--) { for (j = n; j >= 0; j--) { for (k = n; k >= 0; k--) { if (i == 0 && k == 0 && j == 0) continue; if (pro[i][j][k] == 0) continue; // debug(i,j,k,ex[i][j][k],pro[i][j][k]); double pw = 1.0 * (n - i - j - k) / n; pw = pw / (1 - pw); ex[i][j][k] /= pro[i][j][k]; ex[i][j][k] += pw; if (i) { pro[i - 1][j + 1][k] += pro[i][j][k] * (i) / (i + j + k); ex[i - 1][j + 1][k] += (ex[i][j][k] + 1) * (pro[i][j][k] * (i) / (i + j + k)); } if (j) { pro[i][j - 1][k + 1] += pro[i][j][k] * (j) / (i + j + k); ex[i][j - 1][k + 1] += (ex[i][j][k] + 1) * (pro[i][j][k] * (j) / (i + j + k)); } if (k) { pro[i][j][k - 1] += pro[i][j][k] * (k) / (i + j + k); ex[i][j][k - 1] += (ex[i][j][k] + 1) * (pro[i][j][k] * (k) / (i + j + k)); } debug(i, j, k, ex[i][j][k], pro[i][j][k]); } } } cout << fixed << setprecision(10) << ex[0][0][0]; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<long long> vi; typedef vector<vi> vvi; typedef pair<long, long> ii; #define sz(a) long((a).size()) #define pb push_back #define mp make_pair #define all(c) (c).begin(), (c).end() #define tr(c, i) for(typeof((c).begin() i = (c).begin(); i != (c).end(); i++) #define present(c, x) ((c).find(x) != (c).end()) #define cpresent(c, x) (find(all(c), x) != (c).end()) #define input(v, n) \ for (ll i = 0; i < n; i++) \ cin >> v[i] #define output(v, n) \ for (ll i = 0; i < n; i++) \ cout << v[i] << " " void __print(int x) { cerr << x; } void __print(long x) { cerr << x; } void __print(long long x) { cerr << x; } void __print(unsigned x) { cerr << x; } void __print(unsigned long x) { cerr << x; } void __print(unsigned long long x) { cerr << x; } void __print(float x) { cerr << x; } void __print(double x) { cerr << x; } void __print(long double x) { cerr << x; } void __print(char x) { cerr << '\'' << x << '\''; } void __print(const char *x) { cerr << '\"' << x << '\"'; } void __print(const string &x) { cerr << '\"' << x << '\"'; } void __print(bool x) { cerr << (x ? "true" : "false"); } template <typename T, typename V> void __print(const pair<T, V> &x) { cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}'; } template <typename T> void __print(const T &x) { int f = 0; cerr << '{'; for (auto &i : x) cerr << (f++ ? "," : ""), __print(i); cerr << "}"; } void _print() { cerr << "]\n"; } template <typename T, typename... V> void _print(T t, V... v) { __print(t); if (sizeof...(v)) cerr << ", "; _print(v...); } #ifndef ONLINE_JUDGE #define debug(x...) \ cerr << "[" << #x << "] = ["; \ _print(x) #else #define debug(x...) #endif double pro[302][302][302]; double ex[302][302][302]; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ll one = 0, two = 0, three = 0; ll n, i, j, k; cin >> n; for (i = 0; i < n; i++) { ll x; cin >> x; if (x == 1) one++; if (x == 2) two++; if (x == 3) three++; } pro[three][two][one] = 1; for (i = n; i >= 0; i--) { for (j = n; j >= 0; j--) { for (k = n; k >= 0; k--) { if (i == 0 && k == 0 && j == 0) continue; if (pro[i][j][k] == 0) continue; // debug(i,j,k,ex[i][j][k],pro[i][j][k]); double pw = 1.0 * (n - i - j - k) / n; pw = pw / (1 - pw); ex[i][j][k] /= pro[i][j][k]; ex[i][j][k] += pw; if (i) { pro[i - 1][j + 1][k] += pro[i][j][k] * (i) / (i + j + k); ex[i - 1][j + 1][k] += (ex[i][j][k] + 1) * (pro[i][j][k] * (i) / (i + j + k)); } if (j) { pro[i][j - 1][k + 1] += pro[i][j][k] * (j) / (i + j + k); ex[i][j - 1][k + 1] += (ex[i][j][k] + 1) * (pro[i][j][k] * (j) / (i + j + k)); } if (k) { pro[i][j][k - 1] += pro[i][j][k] * (k) / (i + j + k); ex[i][j][k - 1] += (ex[i][j][k] + 1) * (pro[i][j][k] * (k) / (i + j + k)); } // debug(i,j,k,ex[i][j][k],pro[i][j][k]); } } } cout << fixed << setprecision(10) << ex[0][0][0]; return 0; }
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TLE
p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define fst first #define snd second #define fore(i, a, b) for (int i = a, ThxDem = b; i < ThxDem; ++i) #define pb push_back #define ALL(s) s.begin(), s.end() #define FIN \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) #define SZ(n) ((int)(n).size()) using namespace std; typedef long long ll; typedef pair<int, int> ii; double dp[301][301][301]; ll n; bool done[301][301][301]; double solve(int on, int tw, int th) { if (on + tw + th == 0) return 0; double &r = dp[on][tw][th]; if (done[on][tw][th]) return r; double tot = on + tw + th; r = (double)n / tot; if (on) r += (double)on / tot * solve(on - 1, tw, th); if (tw) r += (double)tw / tot * solve(on + 1, tw - 1, th); if (th) r += (double)th / tot * solve(on, tw + 1, th - 1); return r; } int main() { FIN; int x, on = 0, tw = 0, th = 0; cin >> n; fore(i, 0, n) { cin >> x; on += x == 1; tw += x == 2; th += x == 3; } cout << fixed << setprecision(10) << solve(on, tw, th) << "\n"; }
#include <bits/stdc++.h> #define fst first #define snd second #define fore(i, a, b) for (int i = a, ThxDem = b; i < ThxDem; ++i) #define pb push_back #define ALL(s) s.begin(), s.end() #define FIN \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) #define SZ(n) ((int)(n).size()) using namespace std; typedef long long ll; typedef pair<int, int> ii; double dp[301][301][301]; ll n; bool done[301][301][301]; double solve(int on, int tw, int th) { if (on + tw + th == 0) return 0; double &r = dp[on][tw][th]; if (done[on][tw][th]) return r; done[on][tw][th] = 1; double tot = on + tw + th; r = (double)n / tot; if (on) r += (double)on / tot * solve(on - 1, tw, th); if (tw) r += (double)tw / tot * solve(on + 1, tw - 1, th); if (th) r += (double)th / tot * solve(on, tw + 1, th - 1); return r; } int main() { FIN; int x, on = 0, tw = 0, th = 0; cin >> n; fore(i, 0, n) { cin >> x; on += x == 1; tw += x == 2; th += x == 3; } cout << fixed << setprecision(10) << solve(on, tw, th) << "\n"; }
insert
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TLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> typedef long long ll; using namespace std; double dp[301][301][301]; int main() { ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); #ifndef ONLINE_JUDGE freopen("in", "r", stdin); freopen("out", "w", stdout); #endif int n; cin >> n; vector<int> a(n); int o = 0, tw = 0, tr = 0; for (auto &i : a) { cin >> i; if (i == 1) o++; else if (i == 2) tw++; else tr++; } for (int k = 0; k < 301; ++k) for (int j = 0; k + j < 301; ++j) for (int i = 0; i + j + k < 301; ++i) { if (i + j + k == 0) continue; double w = 1.0 * n / (i + j + k); double pi = 1.0 * i / (i + j + k); double pj = 1.0 * j / (i + j + k); double pk = 1.0 * k / (i + j + k); if (i) dp[i][j][k] += dp[i - 1][j][k] * pi; if (j) dp[i][j][k] += dp[i + 1][j - 1][k] * pj; if (k) dp[i][j][k] += dp[i][j + 1][k - 1] * pk; dp[i][j][k] += w; } cout << setprecision(10) << fixed << dp[o][tw][tr] << "\n"; return 0; }
#include <bits/stdc++.h> typedef long long ll; using namespace std; double dp[301][301][301]; int main() { ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); int n; cin >> n; vector<int> a(n); int o = 0, tw = 0, tr = 0; for (auto &i : a) { cin >> i; if (i == 1) o++; else if (i == 2) tw++; else tr++; } for (int k = 0; k < 301; ++k) for (int j = 0; k + j < 301; ++j) for (int i = 0; i + j + k < 301; ++i) { if (i + j + k == 0) continue; double w = 1.0 * n / (i + j + k); double pi = 1.0 * i / (i + j + k); double pj = 1.0 * j / (i + j + k); double pk = 1.0 * k / (i + j + k); if (i) dp[i][j][k] += dp[i - 1][j][k] * pi; if (j) dp[i][j][k] += dp[i + 1][j - 1][k] * pj; if (k) dp[i][j][k] += dp[i][j + 1][k - 1] * pk; dp[i][j][k] += w; } cout << setprecision(10) << fixed << dp[o][tw][tr] << "\n"; return 0; }
delete
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13
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-11
p03169
C++
Memory Limit Exceeded
#include <bits/stdc++.h> // [PRIMES] 1777 ~2^10.80 using namespace std; // 10333 ~2^13.33 using ll = long long; // seq 1 128 | factor 100333 ~2^16.61 using vl = vector<ll>; // | grep -v ' .* ' 1300111 ~2^20.31 using vvl = vector<vl>; // 10300777 ~2^23.30 using vb = vector<bool>; // 100400999 ~2^26.58 using vs = vector<string>; // 1300400999 ~2^30.28 using pll = pair<ll, ll>; // 10200500333 ~2^33.25 const ll oo = 0x3f3f3f3f3f3f3f3fLL; // 100200400777 ~2^36.54 const double eps = 1e-9; // 1200300700111 ~2^40.13 #define sz(c) ll((c).size()) // 10200300500777 ~2^43.21 #define all(c) begin(c), end(c) // 100200300400777 ~2^46.51 #define mp make_pair // 1200300400600999 ~2^50.09 #define mt make_tuple // 10200300400600111 ~2^53.18 #define pb push_back // 100200300400600333 ~2^56.48 #define eb emplace_back // 1200300400500800999 ~2^60.06 #define xx first #define yy second #define FOR(i, a, b) for (ll i = (a); i < (ll)(b); i++) #define FORD(i, a, b) for (ll i = ll(b) - 1; i >= (a); i--) #define TR(X) \ ({ \ if (1) \ cerr << "TR: " << (#X) << " = " << (X) << endl; \ }) ll N; vector<vector<vector<double>>> dp; double r(double p, ll d) { if (d == 100) return p; return p + (1 - p) * r(p, d + 1); } double f(vl in) { if (in[0] == N) return 0; double *dpp = &dp[in[1]][in[2]][in[3]]; if (*dpp > -0.5) return *dpp; double p_null = (double)in[0] / (double)N; double acc = (1.0 / (1.0 - p_null)); FOR(i, 1, sz(in)) { if (in[i] == 0) continue; double p = ((double)in[i] / (double)(N - in[0])); vl newin = in; newin[i]--; newin[i - 1]++; acc += f(newin) * p; } *dpp = acc; return acc; } int main() { ll n; cin >> n; N = 0; vl a; dp.resize(900 + 1, vector<vector<double>>(600 + 1, vector<double>(300 + 1, -1))); a.resize(4, 0); FOR(i, 0, n) { ll in; cin >> in; a[in]++; N = n; } cout << fixed << setprecision(10) << f(a) << endl; } // cin.tie(0) bei schnellem Wechseln
#include <bits/stdc++.h> // [PRIMES] 1777 ~2^10.80 using namespace std; // 10333 ~2^13.33 using ll = long long; // seq 1 128 | factor 100333 ~2^16.61 using vl = vector<ll>; // | grep -v ' .* ' 1300111 ~2^20.31 using vvl = vector<vl>; // 10300777 ~2^23.30 using vb = vector<bool>; // 100400999 ~2^26.58 using vs = vector<string>; // 1300400999 ~2^30.28 using pll = pair<ll, ll>; // 10200500333 ~2^33.25 const ll oo = 0x3f3f3f3f3f3f3f3fLL; // 100200400777 ~2^36.54 const double eps = 1e-9; // 1200300700111 ~2^40.13 #define sz(c) ll((c).size()) // 10200300500777 ~2^43.21 #define all(c) begin(c), end(c) // 100200300400777 ~2^46.51 #define mp make_pair // 1200300400600999 ~2^50.09 #define mt make_tuple // 10200300400600111 ~2^53.18 #define pb push_back // 100200300400600333 ~2^56.48 #define eb emplace_back // 1200300400500800999 ~2^60.06 #define xx first #define yy second #define FOR(i, a, b) for (ll i = (a); i < (ll)(b); i++) #define FORD(i, a, b) for (ll i = ll(b) - 1; i >= (a); i--) #define TR(X) \ ({ \ if (1) \ cerr << "TR: " << (#X) << " = " << (X) << endl; \ }) ll N; vector<vector<vector<double>>> dp; double r(double p, ll d) { if (d == 100) return p; return p + (1 - p) * r(p, d + 1); } double f(vl in) { if (in[0] == N) return 0; double *dpp = &dp[in[1]][in[2]][in[3]]; if (*dpp > -0.5) return *dpp; double p_null = (double)in[0] / (double)N; double acc = (1.0 / (1.0 - p_null)); FOR(i, 1, sz(in)) { if (in[i] == 0) continue; double p = ((double)in[i] / (double)(N - in[0])); vl newin = in; newin[i]--; newin[i - 1]++; acc += f(newin) * p; } *dpp = acc; return acc; } int main() { ll n; cin >> n; N = 0; vl a; dp.resize(300 + 1, vector<vector<double>>(300 + 1, vector<double>(300 + 1, -1))); a.resize(4, 0); FOR(i, 0, n) { ll in; cin >> in; a[in]++; N = n; } cout << fixed << setprecision(10) << f(a) << endl; } // cin.tie(0) bei schnellem Wechseln
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MLE
p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; using lint = long long int; using pint = pair<int, int>; using plint = pair<lint, lint>; struct fast_ios { fast_ios() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define FOR(i, begin, end) \ for (int i = (begin), i##_end_ = (end); i < i##_end_; i++) #define IFOR(i, begin, end) \ for (int i = (end)-1, i##_begin_ = (begin); i >= i##_begin_; i--) #define REP(i, n) FOR(i, 0, n) #define IREP(i, n) IFOR(i, 0, n) template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << "(" << pa.first << "," << pa.second << ")"; return os; } template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template <typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template <typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); } template <typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template <typename T> void Max(T &m, const T q) { if (m < q) m = q; } template <typename T> void Min(T &m, const T q) { if (m > q) m = q; } template <typename T1, typename T2> pair<T1, T2> operator+(pair<T1, T2> &l, pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); } template <typename T1, typename T2> pair<T1, T2> operator-(pair<T1, T2> &l, pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); } #define dbg(x) \ cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; int N; vector<vector<vector<double>>> dp; int main() { cin >> N; vector<int> co(4); REP(_, N) { int a; cin >> a; co[a]++; } ndarray(dp, co[1] + co[2] + co[3] + 1, co[2] + co[3] + 1, co[3] + 1); REP(k, co[3] + 1) REP(j, co[2] + co[3] + 1) REP(i, co[1] + co[2] + co[3] + 1) if (i + j + k) { if (i) dp[i][j][k] += (dp[i - 1][j][k] + 1) * i / N; if (j and i < co[1] + co[2] + co[3]) dp[i][j][k] += (dp[i + 1][j - 1][k] + 1) * j / N; if (k and j < co[2] + co[3]) dp[i][j][k] += (dp[i][j + 1][k - 1] + 1) * k / N; dp[i][j][k] = (dp[i][j][k] + 1) * N / (i + j + k) - 1; } cout << dp[co[1]][co[2]][co[3]] << endl; }
#include <bits/stdc++.h> using namespace std; using lint = long long int; using pint = pair<int, int>; using plint = pair<lint, lint>; struct fast_ios { fast_ios() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define FOR(i, begin, end) \ for (int i = (begin), i##_end_ = (end); i < i##_end_; i++) #define IFOR(i, begin, end) \ for (int i = (end)-1, i##_begin_ = (begin); i >= i##_begin_; i--) #define REP(i, n) FOR(i, 0, n) #define IREP(i, n) IFOR(i, 0, n) template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << "(" << pa.first << "," << pa.second << ")"; return os; } template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template <typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp) { os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template <typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); } template <typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template <typename T> void Max(T &m, const T q) { if (m < q) m = q; } template <typename T> void Min(T &m, const T q) { if (m > q) m = q; } template <typename T1, typename T2> pair<T1, T2> operator+(pair<T1, T2> &l, pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); } template <typename T1, typename T2> pair<T1, T2> operator-(pair<T1, T2> &l, pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); } #define dbg(x) \ cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; int N; vector<vector<vector<double>>> dp; int main() { cin >> N; vector<int> co(4); REP(_, N) { int a; cin >> a; co[a]++; } ndarray(dp, co[1] + co[2] + co[3] + 1, co[2] + co[3] + 1, co[3] + 1); REP(k, co[3] + 1) REP(j, co[2] + co[3] - k + 1) REP(i, co[1] + co[2] + co[3] - j - k + 1) if (i + j + k) { if (i) dp[i][j][k] += (dp[i - 1][j][k] + 1) * i / N; if (j and i < co[1] + co[2] + co[3]) dp[i][j][k] += (dp[i + 1][j - 1][k] + 1) * j / N; if (k and j < co[2] + co[3]) dp[i][j][k] += (dp[i][j + 1][k - 1] + 1) * k / N; dp[i][j][k] = (dp[i][j][k] + 1) * N / (i + j + k) - 1; } cout << dp[co[1]][co[2]][co[3]] << endl; }
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TLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> #define pb push_back #define int long long #define mp make_pair #define ff first #define ss second #define inf 9e18 #define pii pair<int, int> #define setp(x) fixed << showpoint << setprecision(x) #define fastio \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); using namespace std; long double n; long double dp[303][303][303]; int a[303]; long double solve(int a1, int a2, int a3) { if (a1 + a2 + a3 == 0) return 0; if (dp[a1][a2][a3] != -1) return dp[a1][a2][a3]; long double cur = n / (a1 + a2 + a3); long double q1, q2, q3; q1 = q2 = q3 = 0; long double n2 = a1 + a2 + a3; if (a1 > 0) q1 = a1 * solve(a1 - 1, a2, a3); if (a2 > 0) q2 = a2 * solve(a1 + 1, a2 - 1, a3); if (a3 > 0) q3 = a3 * solve(a1, a2 + 1, a3 - 1); cur = cur + (q1 + q2 + q3) / n2; return dp[a1][a2][a3] = cur; } int32_t main() { fastio #ifndef ONLINE_JUDGE // for getting input from input.txt freopen("input.txt", "r", stdin); // for writing output to output.txt freopen("output.txt", "w", stdout); #endif cin >> n; int a1, a3, a2; a1 = a2 = a3 = 0; for (int i = 0; i < n; i++) { cin >> a[i]; if (a[i] == 1) a1++; else if (a[i] == 2) a2++; else a3++; } for (int i = 0; i < 303; i++) for (int j = 0; j < 303; j++) for (int k = 0; k < 303; k++) dp[i][j][k] = -1; long double ans = solve(a1, a2, a3); cout << setp(10) << ans; return 0; }
#include <bits/stdc++.h> #define pb push_back #define int long long #define mp make_pair #define ff first #define ss second #define inf 9e18 #define pii pair<int, int> #define setp(x) fixed << showpoint << setprecision(x) #define fastio \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); using namespace std; long double n; long double dp[303][303][303]; int a[303]; long double solve(int a1, int a2, int a3) { if (a1 + a2 + a3 == 0) return 0; if (dp[a1][a2][a3] != -1) return dp[a1][a2][a3]; long double cur = n / (a1 + a2 + a3); long double q1, q2, q3; q1 = q2 = q3 = 0; long double n2 = a1 + a2 + a3; if (a1 > 0) q1 = a1 * solve(a1 - 1, a2, a3); if (a2 > 0) q2 = a2 * solve(a1 + 1, a2 - 1, a3); if (a3 > 0) q3 = a3 * solve(a1, a2 + 1, a3 - 1); cur = cur + (q1 + q2 + q3) / n2; return dp[a1][a2][a3] = cur; } int32_t main() { fastio cin >> n; int a1, a3, a2; a1 = a2 = a3 = 0; for (int i = 0; i < n; i++) { cin >> a[i]; if (a[i] == 1) a1++; else if (a[i] == 2) a2++; else a3++; } for (int i = 0; i < 303; i++) for (int j = 0; j < 303; j++) for (int k = 0; k < 303; k++) dp[i][j][k] = -1; long double ans = solve(a1, a2, a3); cout << setp(10) << ans; return 0; }
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-11
p03169
C++
Runtime Error
#include <cmath> #include <cstdio> #include <iostream> #include <numeric> using namespace std; const int maxn = 300; double dp[maxn + 1][maxn + 1][maxn + 1] = {0}; int occur[3] = {0}; void test() { double sum = 0; double n = 50, e = 30; for (double i = 0; i <= 1000; i++) { sum += (n - e) / n * pow(e / n, i) * (i + 1); } cout << sum << endl; cout << e / (n - e) << endl; cout << n / (n - e) << endl; } int main() { // test(); // return 0; int n; cin >> n; for (int i = 0, x; i < n; i++) { cin >> x; occur[x - 1]++; } for (int k = 0; k <= occur[2]; k++) { for (int j = 0; j <= occur[1] + occur[2]; j++) { for (int i = 0; i <= occur[0] + occur[1] + occur[2]; i++) { if (i == 0 && j == 0 && k == 0) continue; double s = i + j + k; dp[i][j][k] = (k ? dp[i][j + 1][k - 1] * k / s : 0) + (j ? dp[i + 1][j - 1][k] * j / s : 0) + (i ? dp[i - 1][j][k] * i / s : 0) + +n / s; } } } cout.precision(10); cout << dp[occur[0]][occur[1]][occur[2]] << '\n'; }
#include <cmath> #include <cstdio> #include <iostream> #include <numeric> using namespace std; const int maxn = 300; double dp[3 * maxn + 1][2 * maxn][maxn + 1] = {0}; int occur[3] = {0}; void test() { double sum = 0; double n = 50, e = 30; for (double i = 0; i <= 1000; i++) { sum += (n - e) / n * pow(e / n, i) * (i + 1); } cout << sum << endl; cout << e / (n - e) << endl; cout << n / (n - e) << endl; } int main() { // test(); // return 0; int n; cin >> n; for (int i = 0, x; i < n; i++) { cin >> x; occur[x - 1]++; } for (int k = 0; k <= occur[2]; k++) { for (int j = 0; j <= occur[1] + occur[2]; j++) { for (int i = 0; i <= occur[0] + occur[1] + occur[2]; i++) { if (i == 0 && j == 0 && k == 0) continue; double s = i + j + k; dp[i][j][k] = (k ? dp[i][j + 1][k - 1] * k / s : 0) + (j ? dp[i + 1][j - 1][k] * j / s : 0) + (i ? dp[i - 1][j][k] * i / s : 0) + +n / s; } } } cout.precision(10); cout << dp[occur[0]][occur[1]][occur[2]] << '\n'; }
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-11
p03169
C++
Time Limit Exceeded
#include <algorithm> #include <cmath> #include <iostream> #include <map> #include <numeric> #include <queue> #include <set> #include <stack> #include <vector> using namespace std; #define int long long typedef long double ld; #define pii pair<int, int> #define vi vector<int> #define vii vector<vi> #define viii vector<vii> #define vpii vector<pii> #define vb vector<bool> #define vbb vector<vb> #define vs vector<string> #define pb push_back #define ff first #define ss second #define all(a) a.begin(), a.end() #define in(a, x) \ for (int i = x; i < (a).size(); ++i) \ cin >> (a)[i] #define out(a) \ for (auto qwe : a) \ cout << qwe << " " const int INF = 1e9; const int INF64 = 1e18; const int MOD = 1e9 + 7; const int MOD9 = 1e9 + 9; const int MOD3 = 998244353; const int P = 37; const int mxn = 200000; int n; vector<vector<vector<ld>>> dp; signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; int a = 0, b = 0, c = 0; for (int i = 0; i < n; ++i) { int x; cin >> x; if (x == 1) ++a; if (x == 2) ++b; if (x == 3) ++c; } dp.assign(n + 2, vector<vector<ld>>(n + 2, vector<ld>(n + 2, 0))); for (int k = 0; k <= n; ++k) { for (int j = 0; j <= n; ++j) { for (int i = 0; i <= n; ++i) { if (i == 0 && j == 0 && k == 0) continue; dp[i][j][k] = (ld)n / (i + j + k); if (i > 0) dp[i][j][k] += dp[i - 1][j][k] * ((ld)i / (i + j + k)); if (j > 0) dp[i][j][k] += dp[i + 1][j - 1][k] * ((ld)j / (i + j + k)); if (k > 0) dp[i][j][k] += dp[i][j + 1][k - 1] * ((ld)k / (i + j + k)); } } } cout.precision(10); cout << fixed << dp[a][b][c]; }
#include <algorithm> #include <cmath> #include <iostream> #include <map> #include <numeric> #include <queue> #include <set> #include <stack> #include <vector> using namespace std; #define int long long typedef long double ld; #define pii pair<int, int> #define vi vector<int> #define vii vector<vi> #define viii vector<vii> #define vpii vector<pii> #define vb vector<bool> #define vbb vector<vb> #define vs vector<string> #define pb push_back #define ff first #define ss second #define all(a) a.begin(), a.end() #define in(a, x) \ for (int i = x; i < (a).size(); ++i) \ cin >> (a)[i] #define out(a) \ for (auto qwe : a) \ cout << qwe << " " const int INF = 1e9; const int INF64 = 1e18; const int MOD = 1e9 + 7; const int MOD9 = 1e9 + 9; const int MOD3 = 998244353; const int P = 37; const int mxn = 200000; int n; vector<vector<vector<ld>>> dp; signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; int a = 0, b = 0, c = 0; for (int i = 0; i < n; ++i) { int x; cin >> x; if (x == 1) ++a; if (x == 2) ++b; if (x == 3) ++c; } dp.assign(n + 2, vector<vector<ld>>(n + 2, vector<ld>(n + 2, 0))); for (int k = 0; k <= c; ++k) { for (int j = 0; j <= b + (c - k); ++j) { for (int i = 0; i <= (n - j - k); ++i) { if (i == 0 && j == 0 && k == 0) continue; dp[i][j][k] = (ld)n / (i + j + k); if (i > 0) dp[i][j][k] += dp[i - 1][j][k] * ((ld)i / (i + j + k)); if (j > 0) dp[i][j][k] += dp[i + 1][j - 1][k] * ((ld)j / (i + j + k)); if (k > 0) dp[i][j][k] += dp[i][j + 1][k - 1] * ((ld)k / (i + j + k)); } } } cout.precision(10); cout << fixed << dp[a][b][c]; }
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TLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> #define MAXN 310 #define pii pair<int, int> #define pb push_back typedef long long ll; using namespace std; int n, f[4]; double dp[MAXN][MAXN][MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; for (int i = 0; i < n; i++) { int t; cin >> t; f[t]++; } for (int k = 0; k < MAXN; k++) { for (int j = 0; j < MAXN; j++) { for (int i = 0; i < MAXN; i++) { if (i == 0 and j == 0 and k == 0) { dp[i][j][k] = 0; continue; } double t = 0; if (i > 0) t += (double)i * dp[i - 1][j][k] / n; if (j > 0) t += (double)j * dp[i + 1][j - 1][k] / n; if (k > 0) t += (double)k * dp[i][j + 1][k - 1] / n; t++; t /= (double)(i + j + k) / n; // cout << t; dp[i][j][k] = t; } } } cout << fixed << setprecision(11) << dp[f[1]][f[2]][f[3]]; }
#include <bits/stdc++.h> #define MAXN 310 #define pii pair<int, int> #define pb push_back typedef long long ll; using namespace std; int n, f[4]; double dp[MAXN][MAXN][MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; for (int i = 0; i < n; i++) { int t; cin >> t; f[t]++; } for (int k = 0; k < MAXN - 1; k++) { for (int j = 0; j < MAXN - 1; j++) { for (int i = 0; i < MAXN - 1; i++) { if (i == 0 and j == 0 and k == 0) { dp[i][j][k] = 0; continue; } double t = 0; if (i > 0) t += (double)i * dp[i - 1][j][k] / n; if (j > 0) t += (double)j * dp[i + 1][j - 1][k] / n; if (k > 0) t += (double)k * dp[i][j + 1][k - 1] / n; t++; t /= (double)(i + j + k) / n; // cout << t; dp[i][j][k] = t; } } } cout << fixed << setprecision(11) << dp[f[1]][f[2]][f[3]]; }
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-11
p03169
C++
Runtime Error
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; #define FASTIO \ cin.tie(0); \ cout.tie(0); \ ios_base::sync_with_stdio(false) #define ll long long int // typedef tree<int, null_type, less<int>, rb_tree_tag, // tree_order_statistics_node_update> new_data_set; // struct compare { // bool operator() (const pair<int, int> &a, const pair<int, int> &b) const // { if ((a.S - a.F) != (b.S - b.F)) return ((a.S - a.F) > (b.S - b.F)); else // return (a.F < b.F); // } // }; const int mx = 305; double ev[mx][mx][mx]; int n; double calc(int a, int b, int c) { if (ev[a][b][c] != -1) return ev[a][b][c]; double ans = 0; if (a != 0) { ans += (double)a / n * calc(a - 1, b, c); } if (b != 0) { ans += (double)b / n * calc(a + 1, b - 1, c); } if (c != 0) { ans += (double)c / n * calc(a, b + 1, c - 1); } ans += 1; ans *= (double)n / (a + b + c); ev[a][b][c] = ans; return ans; } int main() { #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif FASTIO; cin >> n; vector<int> cnt(4); for (int i = 0; i < n; i++) { int temp; cin >> temp; cnt[temp]++; } for (int i = 0; i < mx; i++) { for (int j = 0; j < mx; j++) { for (int k = 0; k < mx; k++) { ev[i][j][k] = -1; } } } ev[1][0][0] = n; ev[0][0][0] = 0; double ans = calc(cnt[1], cnt[2], cnt[3]); printf("%.10lf\n", ans); }
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; #define FASTIO \ cin.tie(0); \ cout.tie(0); \ ios_base::sync_with_stdio(false) #define ll long long int // typedef tree<int, null_type, less<int>, rb_tree_tag, // tree_order_statistics_node_update> new_data_set; // struct compare { // bool operator() (const pair<int, int> &a, const pair<int, int> &b) const // { if ((a.S - a.F) != (b.S - b.F)) return ((a.S - a.F) > (b.S - b.F)); else // return (a.F < b.F); // } // }; const int mx = 305; double ev[mx][mx][mx]; int n; double calc(int a, int b, int c) { if (ev[a][b][c] != -1) return ev[a][b][c]; double ans = 0; if (a != 0) { ans += (double)a / n * calc(a - 1, b, c); } if (b != 0) { ans += (double)b / n * calc(a + 1, b - 1, c); } if (c != 0) { ans += (double)c / n * calc(a, b + 1, c - 1); } ans += 1; ans *= (double)n / (a + b + c); ev[a][b][c] = ans; return ans; } int main() { // #ifndef ONLINE_JUDGE // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); // #endif FASTIO; cin >> n; vector<int> cnt(4); for (int i = 0; i < n; i++) { int temp; cin >> temp; cnt[temp]++; } for (int i = 0; i < mx; i++) { for (int j = 0; j < mx; j++) { for (int k = 0; k < mx; k++) { ev[i][j][k] = -1; } } } ev[1][0][0] = n; ev[0][0][0] = 0; double ans = calc(cnt[1], cnt[2], cnt[3]); printf("%.10lf\n", ans); }
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p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #define rep(i, a, n) for (int i = a; i < n; i++) #define For(i, n) rep(i, 0, n) // #define int long long // const int INF=1e18; const int MOD = 1000000007; typedef pair<int, int> P; int c[3] = {0, 0, 0}, n; double mem[305][305][305]; bool f[305][305][305]; double dp(int a, int b, int c) { if (!a && !b && !c) { return 0; } f[a][b][c] = 1; double ret = n; if (a) { ret += dp(a - 1, b, c) * a; } if (b) { ret += dp(a + 1, b - 1, c) * b; } if (c) { ret += dp(a, b + 1, c - 1) * c; } return mem[a][b][c] = ret / (a + b + c); } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); int a; cin >> n; rep(i, 0, n) { int a; cin >> a; a--; c[a]++; } cout << setprecision(20) << dp(c[0], c[1], c[2]) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define rep(i, a, n) for (int i = a; i < n; i++) #define For(i, n) rep(i, 0, n) // #define int long long // const int INF=1e18; const int MOD = 1000000007; typedef pair<int, int> P; int c[3] = {0, 0, 0}, n; double mem[305][305][305]; bool f[305][305][305]; double dp(int a, int b, int c) { if (!a && !b && !c) { return 0; } if (f[a][b][c]) { return mem[a][b][c]; } f[a][b][c] = 1; double ret = n; if (a) { ret += dp(a - 1, b, c) * a; } if (b) { ret += dp(a + 1, b - 1, c) * b; } if (c) { ret += dp(a, b + 1, c - 1) * c; } return mem[a][b][c] = ret / (a + b + c); } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); int a; cin >> n; rep(i, 0, n) { int a; cin >> a; a--; c[a]++; } cout << setprecision(20) << dp(c[0], c[1], c[2]) << endl; return 0; }
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TLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; double dp[101][101][101]; bool vis[101][101][101] = {0}; int n; double solve(int x, int y, int z) { if (x <= 0 && y <= 0 && z <= 0) return 0; // cout << x << y << z << endl; if (vis[x][y][z]) return dp[x][y][z]; vis[x][y][z] = 1; double ans = 1.0; // cout << x << " "; if (x > 0) { // cout << (double)x / n << " "; ans += ((double)x / n) * solve(x - 1, y, z); // cout << ans << endl; } if (y > 0) ans += ((double)y / n) * solve(x + 1, y - 1, z); if (z > 0) ans += ((double)z / n) * solve(x, y + 1, z - 1); ans /= ((1.0 - ((double)n - x - y - z) / n)); // cout << ans << endl; return dp[x][y][z] = ans; } int main() { cin >> n; int a[n]; for (int i = 0; i < n; i++) cin >> a[i]; int x = 0, y = 0, z = 0; for (int i = 0; i < n; i++) { if (a[i] == 1) x++; else if (a[i] == 2) y++; else if (a[i] == 3) z++; } printf("%.10lf", solve(x, y, z)); return 0; }
#include <bits/stdc++.h> using namespace std; double dp[301][301][301]; bool vis[301][301][301] = {0}; int n; double solve(int x, int y, int z) { if (x <= 0 && y <= 0 && z <= 0) return 0; // cout << x << y << z << endl; if (vis[x][y][z]) return dp[x][y][z]; vis[x][y][z] = 1; double ans = 1.0; // cout << x << " "; if (x > 0) { // cout << (double)x / n << " "; ans += ((double)x / n) * solve(x - 1, y, z); // cout << ans << endl; } if (y > 0) ans += ((double)y / n) * solve(x + 1, y - 1, z); if (z > 0) ans += ((double)z / n) * solve(x, y + 1, z - 1); ans /= ((1.0 - ((double)n - x - y - z) / n)); // cout << ans << endl; return dp[x][y][z] = ans; } int main() { cin >> n; int a[n]; for (int i = 0; i < n; i++) cin >> a[i]; int x = 0, y = 0, z = 0; for (int i = 0; i < n; i++) { if (a[i] == 1) x++; else if (a[i] == 2) y++; else if (a[i] == 3) z++; } printf("%.10lf", solve(x, y, z)); return 0; }
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0
p03169
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define ll long long #define pb push_back #define fr(a, b) for (int i = a; i < b; i++) #define mod 10000code200007 #define printDouble(x) cout << fixed << setprecision(10) << x #define triplet pair<int, pair<int, int>> #define fast_io \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) using namespace std; /*E(x,y,z) = (1 + p1*E(x-1,y,z) + p2*E(x+1,y-1,z) + p3*E(x,y+1,z-1))/(1-p0) (1 - N-(x+y+z))/N = N - N + x + y + z E(x,y,z) = (n + x*E(x-1,y,z) + y*E(x+1,y-1,z) + z*E(x,y+1,z-1))/(x + y + z);*/ double dp[301][301][301]; double solve(int x, int y, int z, int &n) { if (x == 0 && y == 0 && z == 0) return 0; if (x < 0 || y < 0 || z < 0) return 0; if (dp[x][y][z] < 0) return dp[x][y][z]; int remaining = n - (x + y + z); double exp_val = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = exp_val / (x + y + z); } int main() { ll i, j, t, n, m, x, p, k; fast_io; // cin>>t; t = 1; while (t--) { memset(dp, -1, sizeof dp); int n, x = 0, y = 0, z = 0; cin >> n; for (int i = 0; i < n; i++) { int sushi; cin >> sushi; if (sushi == 1) x++; else if (sushi == 2) y++; else z++; } printDouble(solve(x, y, z, n)); } return 0; }
#include <bits/stdc++.h> #define ll long long #define pb push_back #define fr(a, b) for (int i = a; i < b; i++) #define mod 10000code200007 #define printDouble(x) cout << fixed << setprecision(10) << x #define triplet pair<int, pair<int, int>> #define fast_io \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) using namespace std; /*E(x,y,z) = (1 + p1*E(x-1,y,z) + p2*E(x+1,y-1,z) + p3*E(x,y+1,z-1))/(1-p0) (1 - N-(x+y+z))/N = N - N + x + y + z E(x,y,z) = (n + x*E(x-1,y,z) + y*E(x+1,y-1,z) + z*E(x,y+1,z-1))/(x + y + z);*/ double dp[301][301][301]; double solve(int x, int y, int z, int &n) { if (x == 0 && y == 0 && z == 0) return 0; if (x < 0 || y < 0 || z < 0) return 0; if (dp[x][y][z] > -0.5) return dp[x][y][z]; int remaining = n - (x + y + z); double exp_val = n + x * solve(x - 1, y, z, n) + y * solve(x + 1, y - 1, z, n) + z * solve(x, y + 1, z - 1, n); return dp[x][y][z] = exp_val / (x + y + z); } int main() { ll i, j, t, n, m, x, p, k; fast_io; // cin>>t; t = 1; while (t--) { memset(dp, -1, sizeof dp); int n, x = 0, y = 0, z = 0; cin >> n; for (int i = 0; i < n; i++) { int sushi; cin >> sushi; if (sushi == 1) x++; else if (sushi == 2) y++; else z++; } printDouble(solve(x, y, z, n)); } return 0; }
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TLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using i64 = int64_t; using vi = vector<i64>; using vvi = vector<vi>; #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cout.setf(ios::fixed); cout.precision(10); int n; cin >> n; vi cnt(4); for (int i = 0; i < n; i++) { int a; cin >> a; cnt[a]++; } vector<vector<vector<double>>> dp( cnt[1] + 1, vector<vector<double>>(cnt[2] + 1, vector<double>(cnt[3] + 1))); function<double(int, int, int)> dfs = [&](int i, int j, int k) { if (i + j + k == 0) return 0.0; if (dp[i][j][k]) return dp[i][j][k]; double ret = (i ? dfs(i - 1, j, k) * i / (i + j + k) : 0) + (j ? dfs(i + 1, j - 1, k) * j / (i + j + k) : 0) + (k ? dfs(i, j + 1, k - 1) * k / (i + j + k) : 0) + n / double(i + j + k); dp[i][j][k] = ret; return ret; }; cout << dfs(cnt[1], cnt[2], cnt[3]) << endl; }
#include <bits/stdc++.h> using namespace std; using i64 = int64_t; using vi = vector<i64>; using vvi = vector<vi>; #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cout.setf(ios::fixed); cout.precision(10); int n; cin >> n; vi cnt(4); for (int i = 0; i < n; i++) { int a; cin >> a; cnt[a]++; } vector<vector<vector<double>>> dp( 301, vector<vector<double>>(301, vector<double>(301))); function<double(int, int, int)> dfs = [&](int i, int j, int k) { if (i + j + k == 0) return 0.0; if (dp[i][j][k]) return dp[i][j][k]; double ret = (i ? dfs(i - 1, j, k) * i / (i + j + k) : 0) + (j ? dfs(i + 1, j - 1, k) * j / (i + j + k) : 0) + (k ? dfs(i, j + 1, k - 1) * k / (i + j + k) : 0) + n / double(i + j + k); dp[i][j][k] = ret; return ret; }; cout << dfs(cnt[1], cnt[2], cnt[3]) << endl; }
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p03169
C++
Memory Limit Exceeded
#include <bits/stdc++.h> using namespace std; signed main() { ios::sync_with_stdio(false); int N; cin >> N; static int c[3]; for (int i = 0, t; i < N; ++i) { cin >> t; ++c[t - 1]; } static double dp[301][601][901]; /*function<double(int, int, int)> dfs = [&](int a, int b, int c) { if (a + b + c == 0) return 0.0; if (vis[a][b][c]) return dp[a][b][c]; vis[a][b][c] = 1; if (a) dp[a][b][c] += (dfs(a - 1, b + 1, c) + 1) * a / N; if (b) dp[a][b][c] += (dfs(a, b - 1, c + 1) + 1) * b / N; if (c) dp[a][b][c] += (dfs(a, b, c - 1) + 1) * c / N; int d = N - a - b - c; // if (d) dp[a][b][c] += (dfs(a, b, c) + 1) * d / N; return dp[a][b][c] = (dp[a][b][c] + 1.0 * d / N) * N / (N - d); };*/ for (int i = 0; i < c[2] + 1; ++i) { for (int j = 0; j < c[1] + c[2] + 1; ++j) { for (int k = 0; k < c[0] + c[1] + c[2] + 1; ++k) { if (i + j + k == 0) continue; if (i) dp[i][j][k] += (dp[i - 1][j + 1][k] + 1) * i / N; if (j) dp[i][j][k] += (dp[i][j - 1][k + 1] + 1) * j / N; if (k) dp[i][j][k] += (dp[i][j][k - 1] + 1) * k / N; int l = N - i - j - k; dp[i][j][k] = (dp[i][j][k] + 1.0 * l / N) * N / (N - l); } } } cout << fixed << setprecision(9) << dp[c[2]][c[1]][c[0]] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; signed main() { ios::sync_with_stdio(false); int N; cin >> N; static int c[3]; for (int i = 0, t; i < N; ++i) { cin >> t; ++c[t - 1]; } static double dp[301][301][301]; /*function<double(int, int, int)> dfs = [&](int a, int b, int c) { if (a + b + c == 0) return 0.0; if (vis[a][b][c]) return dp[a][b][c]; vis[a][b][c] = 1; if (a) dp[a][b][c] += (dfs(a - 1, b + 1, c) + 1) * a / N; if (b) dp[a][b][c] += (dfs(a, b - 1, c + 1) + 1) * b / N; if (c) dp[a][b][c] += (dfs(a, b, c - 1) + 1) * c / N; int d = N - a - b - c; // if (d) dp[a][b][c] += (dfs(a, b, c) + 1) * d / N; return dp[a][b][c] = (dp[a][b][c] + 1.0 * d / N) * N / (N - d); };*/ for (int i = 0; i < c[2] + 1; ++i) { for (int j = 0; j < c[1] + c[2] + 1; ++j) { for (int k = 0; k < c[0] + c[1] + c[2] + 1; ++k) { if (i + j + k == 0) continue; if (i) dp[i][j][k] += (dp[i - 1][j + 1][k] + 1) * i / N; if (j) dp[i][j][k] += (dp[i][j - 1][k + 1] + 1) * j / N; if (k) dp[i][j][k] += (dp[i][j][k - 1] + 1) * k / N; int l = N - i - j - k; dp[i][j][k] = (dp[i][j][k] + 1.0 * l / N) * N / (N - l); } } } cout << fixed << setprecision(9) << dp[c[2]][c[1]][c[0]] << endl; return 0; }
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MLE
p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define ff first #define ss second #define mp(a, b) make_pair(a, b) #define pb(a) push_back(a) #define boost \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); \ cin.exceptions(cin.failbit) #define check(x) cout << #x << " : " << (x) << endl #define all(v) v.begin(), v.end() #define endl '\n' #define show(a) \ for (auto i : a) \ cout << i << " "; \ cout << endl typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair<int, int> mypair; typedef priority_queue<int> max_heap; typedef priority_queue<mypair, vector<mypair>, greater<mypair>> min_heap; const int mod = 1000000007; const int inf = 1e9 + 100; const int N = 300; ld dp[N + 1][N + 1][N + 1]; int a[4]; int main() { boost; ld n; cin >> n; for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if (i or j or k) dp[i][j][k] = (n / (ld(i + j + k))) + ((k > 0) ? (dp[i][j + 1][k - 1] * k) / (ld(i + j + k)) : 0.0) + ((j > 0) ? (dp[i + 1][j - 1][k] * j) / (ld(i + j + k)) : 0.0) + ((i > 0) ? (dp[i - 1][j][k] * i) / (ld(i + j + k)) : 0.00); // cout<<i<<" "<<j<<" "<<k<<" : // "<<fixed<<setprecision(15)<<dp[i][j][k]<<endl; // check((n/(ld(i+j+k)))); } } } int cn = int(n); while (cn--) { int t; cin >> t; a[t]++; } cout << fixed << setprecision(15) << dp[a[1]][a[2]][a[3]]; return 0; }
#include <bits/stdc++.h> using namespace std; #define ff first #define ss second #define mp(a, b) make_pair(a, b) #define pb(a) push_back(a) #define boost \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); \ cin.exceptions(cin.failbit) #define check(x) cout << #x << " : " << (x) << endl #define all(v) v.begin(), v.end() #define endl '\n' #define show(a) \ for (auto i : a) \ cout << i << " "; \ cout << endl typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair<int, int> mypair; typedef priority_queue<int> max_heap; typedef priority_queue<mypair, vector<mypair>, greater<mypair>> min_heap; const int mod = 1000000007; const int inf = 1e9 + 100; const int N = 315; ld dp[N + 1][N + 1][N + 1]; int a[4]; int main() { boost; ld n; cin >> n; for (int k = 0; k <= n; k++) { for (int j = 0; j <= n; j++) { for (int i = 0; i <= n; i++) { if (i or j or k) dp[i][j][k] = (n / (ld(i + j + k))) + ((k > 0) ? (dp[i][j + 1][k - 1] * k) / (ld(i + j + k)) : 0.0) + ((j > 0) ? (dp[i + 1][j - 1][k] * j) / (ld(i + j + k)) : 0.0) + ((i > 0) ? (dp[i - 1][j][k] * i) / (ld(i + j + k)) : 0.00); // cout<<i<<" "<<j<<" "<<k<<" : // "<<fixed<<setprecision(15)<<dp[i][j][k]<<endl; // check((n/(ld(i+j+k)))); } } } int cn = int(n); while (cn--) { int t; cin >> t; a[t]++; } cout << fixed << setprecision(15) << dp[a[1]][a[2]][a[3]]; return 0; }
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-11
p03169
C++
Runtime Error
// By TheOneYouWant #pragma GCC optimize("-O2") #include <bits/stdc++.h> using namespace std; #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define pb push_back #define mp make_pair #define fi first #define se second #define memreset(a) memset(a, 0, sizeof(a)) #define testcase(t) \ int t; \ cin >> t; \ while (t--) #define forstl(i, v) for (auto &i : v) #define forn(i, e) for (int i = 0; i < e; i++) #define forsn(i, s, e) for (int i = s; i < e; i++) #define rforn(i, s) for (int i = s; i >= 0; i--) #define rforsn(i, s, e) for (int i = s; i >= e; i--) #define leadzero(a) __builtin_clz(a) // count leading zeroes #define trailzero(a) __builtin_ctz(a) // count trailing zeroes #define bitcount(a) __builtin_popcount(a) // count set bits (add ll) #define ln endl #define dbg(x) cerr << #x << " = " << x << endl #define dbg2(x, y) \ cerr << #x << " = " << x << " & " << #y << " = " << y << endl; #define dbgstl32(v) \ cerr << #v << " = \n"; \ { \ int c = 0; \ forstl(it, v) cerr << " Term " << ++c << " = " << it << ln; \ } \ cerr << endl #define dbgstlp32(v) \ cerr << #v << " = \n"; \ { \ int c = 0; \ forstl(it, v) cerr << " Term " << ++c << " = " << it.fi << " , " \ << it.se << ln; \ } \ cerr << endl #define dbgarr(v, s, e) \ cerr << #v << " = "; \ forsn(i, s, e) cerr << v[i] << ", "; \ cerr << endl #define inp freopen("input.txt", "r", stdin) #define outp freopen("output.txt", "w", stdout) #define dbg(args...) \ { \ string _s = #args; \ replace(_s.begin(), _s.end(), ',', ' '); \ stringstream _ss(_s); \ istream_iterator<string> _it(_ss); \ err(_it, args); \ } void err(istream_iterator<string> it) { cerr << endl; } template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << "\t"; err(++it, args...); } template <typename T1, typename T2> ostream &operator<<(ostream &c, pair<T1, T2> &v) { c << "(" << v.fi << "," << v.se << ")"; return c; } template <template <class...> class TT, class... T> ostream &operator<<(ostream &out, TT<T...> &c) { out << "{ "; forstl(x, c) out << x << " "; out << "}"; return out; } typedef long long int ll; typedef unsigned long long int ull; typedef long double ld; typedef pair<ll, ll> p64; typedef pair<int, int> p32; typedef pair<int, p32> p96; typedef vector<ll> v64; typedef vector<int> v32; typedef vector<v32> vv32; typedef vector<v64> vv64; typedef vector<p32> vp32; typedef vector<vp32> vvp32; typedef map<int, int> m32; const ll MOD = 1e9 + 7, LIM = 302; const ld EPS = 1e-9; ld dp[300][300][300]; int n; ld answer(int a, int b, int c) { // cout<<a<<" "<<b<<" "<<c<<ln; if (a < 0 || b < 0 || c < 0) return 0; if (a == 0 && b == 0 && c == 0) return 0; ld ans = 0; if (dp[a][b][c] + EPS >= 0) return dp[a][b][c]; ans = n + a * answer(a - 1, b, c) + b * answer(a + 1, b - 1, c) + c * answer(a, b + 1, c - 1); // cout<<ans<<ln; ans = ans / (a + b + c); return dp[a][b][c] = ans; } int main() { fastio; cin >> n; int a[3] = {0}; forn(i, LIM) { forn(j, LIM) { forn(k, LIM) dp[i][j][k] = -1; } } forn(i, n) { int x; cin >> x; a[x - 1]++; } cout << fixed << setprecision(12) << ln; ld x = answer(a[0], a[1], a[2]); cout << x << ln; return 0; }
// By TheOneYouWant #pragma GCC optimize("-O2") #include <bits/stdc++.h> using namespace std; #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define pb push_back #define mp make_pair #define fi first #define se second #define memreset(a) memset(a, 0, sizeof(a)) #define testcase(t) \ int t; \ cin >> t; \ while (t--) #define forstl(i, v) for (auto &i : v) #define forn(i, e) for (int i = 0; i < e; i++) #define forsn(i, s, e) for (int i = s; i < e; i++) #define rforn(i, s) for (int i = s; i >= 0; i--) #define rforsn(i, s, e) for (int i = s; i >= e; i--) #define leadzero(a) __builtin_clz(a) // count leading zeroes #define trailzero(a) __builtin_ctz(a) // count trailing zeroes #define bitcount(a) __builtin_popcount(a) // count set bits (add ll) #define ln endl #define dbg(x) cerr << #x << " = " << x << endl #define dbg2(x, y) \ cerr << #x << " = " << x << " & " << #y << " = " << y << endl; #define dbgstl32(v) \ cerr << #v << " = \n"; \ { \ int c = 0; \ forstl(it, v) cerr << " Term " << ++c << " = " << it << ln; \ } \ cerr << endl #define dbgstlp32(v) \ cerr << #v << " = \n"; \ { \ int c = 0; \ forstl(it, v) cerr << " Term " << ++c << " = " << it.fi << " , " \ << it.se << ln; \ } \ cerr << endl #define dbgarr(v, s, e) \ cerr << #v << " = "; \ forsn(i, s, e) cerr << v[i] << ", "; \ cerr << endl #define inp freopen("input.txt", "r", stdin) #define outp freopen("output.txt", "w", stdout) #define dbg(args...) \ { \ string _s = #args; \ replace(_s.begin(), _s.end(), ',', ' '); \ stringstream _ss(_s); \ istream_iterator<string> _it(_ss); \ err(_it, args); \ } void err(istream_iterator<string> it) { cerr << endl; } template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << "\t"; err(++it, args...); } template <typename T1, typename T2> ostream &operator<<(ostream &c, pair<T1, T2> &v) { c << "(" << v.fi << "," << v.se << ")"; return c; } template <template <class...> class TT, class... T> ostream &operator<<(ostream &out, TT<T...> &c) { out << "{ "; forstl(x, c) out << x << " "; out << "}"; return out; } typedef long long int ll; typedef unsigned long long int ull; typedef long double ld; typedef pair<ll, ll> p64; typedef pair<int, int> p32; typedef pair<int, p32> p96; typedef vector<ll> v64; typedef vector<int> v32; typedef vector<v32> vv32; typedef vector<v64> vv64; typedef vector<p32> vp32; typedef vector<vp32> vvp32; typedef map<int, int> m32; const ll MOD = 1e9 + 7, LIM = 302; const ld EPS = 1e-9; ld dp[LIM][LIM][LIM]; int n; ld answer(int a, int b, int c) { // cout<<a<<" "<<b<<" "<<c<<ln; if (a < 0 || b < 0 || c < 0) return 0; if (a == 0 && b == 0 && c == 0) return 0; ld ans = 0; if (dp[a][b][c] + EPS >= 0) return dp[a][b][c]; ans = n + a * answer(a - 1, b, c) + b * answer(a + 1, b - 1, c) + c * answer(a, b + 1, c - 1); // cout<<ans<<ln; ans = ans / (a + b + c); return dp[a][b][c] = ans; } int main() { fastio; cin >> n; int a[3] = {0}; forn(i, LIM) { forn(j, LIM) { forn(k, LIM) dp[i][j][k] = -1; } } forn(i, n) { int x; cin >> x; a[x - 1]++; } cout << fixed << setprecision(12) << ln; ld x = answer(a[0], a[1], a[2]); cout << x << ln; return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> #define be(v) (v).begin(), (v).end() #define pb(q) push_back(q) typedef long long ll; using namespace std; const ll mod = 1000000007; #define doublecout(a) cout << fixed << setprecision(15) << a << endl; double dp[101][101][101]; int n; double solve(int i, int j, int k) { if (dp[i][j][k] >= 0) return dp[i][j][k]; if (!(i | j | k)) return 0.0; double res = 0.0; if (i) res += solve(i - 1, j, k) * i; if (j) res += solve(i + 1, j - 1, k) * j; if (k) res += solve(i, j + 1, k - 1) * k; res += n; res /= (i + j + k); return dp[i][j][k] = res; } int main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cin >> n; int a, c[4] = {0}; for (int i = 0; i < n; i++) { cin >> a; c[a]++; // if(a<3)c[3-a]++; } memset(dp, -1, sizeof(dp)); doublecout(solve(c[1], c[2], c[3])); return 0; }
#include <bits/stdc++.h> #define be(v) (v).begin(), (v).end() #define pb(q) push_back(q) typedef long long ll; using namespace std; const ll mod = 1000000007; #define doublecout(a) cout << fixed << setprecision(15) << a << endl; double dp[301][301][301]; int n; double solve(int i, int j, int k) { if (dp[i][j][k] >= 0) return dp[i][j][k]; if (!(i | j | k)) return 0.0; double res = 0.0; if (i) res += solve(i - 1, j, k) * i; if (j) res += solve(i + 1, j - 1, k) * j; if (k) res += solve(i, j + 1, k - 1) * k; res += n; res /= (i + j + k); return dp[i][j][k] = res; } int main() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cin >> n; int a, c[4] = {0}; for (int i = 0; i < n; i++) { cin >> a; c[a]++; // if(a<3)c[3-a]++; } memset(dp, -1, sizeof(dp)); doublecout(solve(c[1], c[2], c[3])); return 0; }
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p03169
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; double memo[305][305][305]; double dp(ll s1, ll s2, ll s3, ll empty, ll full) { if (s1 == 0 && s2 == 0 && s3 == 0) return 0; if (memo[s1][s2][s3] != -1) return memo[s1][s2][s3]; double ret = 0; ret = (double)full * (1 + ((double)s1 * dp(s1 - 1, s2, s3, empty + 1, full) + (double)s2 * dp(s1 + 1, s2 - 1, s3, empty, full) + (double)s3 * dp(s1, s2 + 1, s3 - 1, empty, full)) / full) / (double)(full - empty); return memo[s1][s2][s3] = ret; } ll sushi[5]; int main() { for (int i = 0; i <= 300; i++) { for (int j = 0; j <= 300; j++) { for (int k = 0; k <= 300; k++) { memo[i][j][k] = -1; } } } int n; scanf("%d", &n); for (int i = 0; i < n; i++) { ll num; scanf("%lld", &num); sushi[num]++; } double ans = dp(sushi[1], sushi[2], sushi[3], 0, n); printf("%.12lf\n", ans); }
#include <bits/stdc++.h> using namespace std; typedef long long ll; double memo[305][305][305]; double dp(ll s1, ll s2, ll s3, ll empty, ll full) { if (s1 == 0 && s2 == 0 && s3 == 0) return 0; if (memo[s1][s2][s3] != -1) return memo[s1][s2][s3]; double ret = 0; double temp1 = 0, temp2 = 0, temp3 = 0; if (s1 != 0) { temp1 = (double)s1 * dp(s1 - 1, s2, s3, empty + 1, full); } if (s2 != 0) { temp2 = (double)s2 * dp(s1 + 1, s2 - 1, s3, empty, full); } if (s3 != 0) { temp3 = (double)s3 * dp(s1, s2 + 1, s3 - 1, empty, full); } ret = (double)full * (1 + (temp1 + temp2 + temp3) / full) / (double)(full - empty); return memo[s1][s2][s3] = ret; } ll sushi[5]; int main() { for (int i = 0; i <= 300; i++) { for (int j = 0; j <= 300; j++) { for (int k = 0; k <= 300; k++) { memo[i][j][k] = -1; } } } int n; scanf("%d", &n); for (int i = 0; i < n; i++) { ll num; scanf("%lld", &num); sushi[num]++; } double ans = dp(sushi[1], sushi[2], sushi[3], 0, n); printf("%.12lf\n", ans); }
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p03170
C++
Runtime Error
#include <bits/stdc++.h> #define lli long long int #define vec2 vector<vector<lli>> #define fio \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define FRE \ freopen("explicit.in", "r", stdin); \ freopen("explicit.out", "w", stdout) #define mp make_pair #define pll pair<lli, lli> #define vll vector<lli> #define pq2 priority_queue<pair<lli, lli>> #define f first #define s second #define pb push_back #define pf push_front #define minii LLONG_MAX #define ld long double const long double pi = 3.1415926535898; #define dec greater<lli>() // const lli mod=1000000007; const lli mod = 100000000; using namespace std; lli lcm(lli a, lli b) { return ((a * b) / __gcd(a, b)); } lli modpower(lli a, lli b) { if (b == 0) return 1; lli c = modpower(a, b / 2) % mod; if (b % 2) return (((a * c) % mod) * c) % mod; else return (c * c) % mod; } lli power(lli a, lli b) { if (b == 0) return 1; lli c = power(a, b / 2); if (b % 2) return (a * c * c); else return c * c; } lli sieve(int n) { bool qrr[n + 1]; for (int i = 0; i <= n; i++) qrr[i] = 1; qrr[0] = 0; qrr[1] = 0; for (int i = 2; i * i <= n; i++) { if (qrr[i] == 1) { for (int j = i * i; j <= n; j += i) { qrr[j] = 0; } } } return 0; } int main() { fio; lli n, k; cin >> n >> k; lli a[n]; for (int i = 0; i < n; i++) cin >> a[i]; bool b[k + 1]; memset(b, 0, sizeof(b)); for (int i = 0; i <= k; i++) { if (b[i] == 1) continue; for (int j = 0; j < n; j++) b[i + a[j]] = 1; } if (b[k] == 1) cout << "First"; else cout << "Second"; return 0; }
#include <bits/stdc++.h> #define lli long long int #define vec2 vector<vector<lli>> #define fio \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define FRE \ freopen("explicit.in", "r", stdin); \ freopen("explicit.out", "w", stdout) #define mp make_pair #define pll pair<lli, lli> #define vll vector<lli> #define pq2 priority_queue<pair<lli, lli>> #define f first #define s second #define pb push_back #define pf push_front #define minii LLONG_MAX #define ld long double const long double pi = 3.1415926535898; #define dec greater<lli>() // const lli mod=1000000007; const lli mod = 100000000; using namespace std; lli lcm(lli a, lli b) { return ((a * b) / __gcd(a, b)); } lli modpower(lli a, lli b) { if (b == 0) return 1; lli c = modpower(a, b / 2) % mod; if (b % 2) return (((a * c) % mod) * c) % mod; else return (c * c) % mod; } lli power(lli a, lli b) { if (b == 0) return 1; lli c = power(a, b / 2); if (b % 2) return (a * c * c); else return c * c; } lli sieve(int n) { bool qrr[n + 1]; for (int i = 0; i <= n; i++) qrr[i] = 1; qrr[0] = 0; qrr[1] = 0; for (int i = 2; i * i <= n; i++) { if (qrr[i] == 1) { for (int j = i * i; j <= n; j += i) { qrr[j] = 0; } } } return 0; } int main() { fio; lli n, k; cin >> n >> k; lli a[n]; for (int i = 0; i < n; i++) cin >> a[i]; bool b[k + 1]; memset(b, 0, sizeof(b)); for (int i = 0; i <= k; i++) { if (b[i] == 1) continue; for (int j = 0; j < n; j++) { if (i + a[j] <= k) b[i + a[j]] = 1; } } if (b[k] == 1) cout << "First"; else cout << "Second"; return 0; }
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p03170
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; // #define int long long #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define rep(i, n) for (int i = 0; i < n; ++i) #define rep1(i, n) for (int i = 1; i < n; ++i) #define exrep(i, a, b) for (ll i = a; i < b; i++) #define out(x) cout << x << endl #define EPS (1e-7) #define gearup \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); typedef long double ld; typedef long long int ll; typedef unsigned long long int ull; typedef vector<int> vi; typedef vector<char> vc; typedef vector<bool> vb; typedef vector<double> vd; typedef vector<string> vs; typedef vector<pair<int, int>> vpii; typedef vector<vector<int>> vvi; typedef vector<vector<char>> vvc; typedef vector<vector<bool>> vvb; typedef vector<vector<double>> vvd; typedef vector<vector<string>> vvs; typedef vector<ll> vl; typedef vector<vector<ll>> vvl; typedef vector<vector<vector<ll>>> vvvl; ll MOD = 1000000007; const long long L_INF = 1LL << 60; const int INF = 2147483647; // 2^31-1 const double PI = acos(-1); // cout<<fixed<<setprecision(10); template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <class T> void debug(T v) { rep(i, v.size()) cout << v[i] << " "; cout << endl; } const ll dx[8] = {1, 1, 0, -1, -1, -1, 0, 1}; const ll dy[8] = {0, 1, 1, 1, 0, -1, -1, -1}; signed main() { gearup; ll n, k; cin >> n >> k; vl a(n); rep(i, n) cin >> a[i]; vb dp(n + 100); rep1(i, k + 1) { rep(j, n) { if (i - a[j] >= 0) dp[i] = (dp[i] | !dp[i - a[j]]); } } if (dp[k]) out("First"); else out("Second"); }
#include <bits/stdc++.h> using namespace std; // #define int long long #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define rep(i, n) for (int i = 0; i < n; ++i) #define rep1(i, n) for (int i = 1; i < n; ++i) #define exrep(i, a, b) for (ll i = a; i < b; i++) #define out(x) cout << x << endl #define EPS (1e-7) #define gearup \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); typedef long double ld; typedef long long int ll; typedef unsigned long long int ull; typedef vector<int> vi; typedef vector<char> vc; typedef vector<bool> vb; typedef vector<double> vd; typedef vector<string> vs; typedef vector<pair<int, int>> vpii; typedef vector<vector<int>> vvi; typedef vector<vector<char>> vvc; typedef vector<vector<bool>> vvb; typedef vector<vector<double>> vvd; typedef vector<vector<string>> vvs; typedef vector<ll> vl; typedef vector<vector<ll>> vvl; typedef vector<vector<vector<ll>>> vvvl; ll MOD = 1000000007; const long long L_INF = 1LL << 60; const int INF = 2147483647; // 2^31-1 const double PI = acos(-1); // cout<<fixed<<setprecision(10); template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <class T> void debug(T v) { rep(i, v.size()) cout << v[i] << " "; cout << endl; } const ll dx[8] = {1, 1, 0, -1, -1, -1, 0, 1}; const ll dy[8] = {0, 1, 1, 1, 0, -1, -1, -1}; signed main() { gearup; ll n, k; cin >> n >> k; vl a(n); rep(i, n) cin >> a[i]; vb dp(k + 100, false); rep1(i, k + 1) { rep(j, n) { if (i - a[j] >= 0) dp[i] = (dp[i] | !dp[i - a[j]]); } } if (dp[k]) out("First"); else out("Second"); }
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p03170
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int main() { int n, k; cin >> n >> k; int a[n]; int i; for (i = 0; i < n; i++) cin >> a[i]; int dp[n + 1]; memset(dp, 0, sizeof(dp)); for (i = 0; i <= k; i++) { for (int j = 0; j < n; j++) { if (i >= a[j] && dp[i - a[j]] == 0) dp[i] = 1; } } cout << (dp[k] == 1 ? "First" : "Second") << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, k; cin >> n >> k; int a[n]; int i; for (i = 0; i < n; i++) cin >> a[i]; int dp[k + 1]; memset(dp, 0, sizeof(dp)); for (i = 0; i <= k; i++) { for (int j = 0; j < n; j++) { if (i >= a[j] && dp[i - a[j]] == 0) dp[i] = 1; } } cout << (dp[k] == 1 ? "First" : "Second") << endl; return 0; }
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p03170
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e2 + 2, K = 1e5 + 5; int a[MAXN]; bool dp[K]; int n, k; void input(); void solve(); int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); input(); solve(); return 0; } void input() { cin >> n >> k; for (int i = 0; i < n; i++) cin >> a[i]; } void solve() { for (int i = 1; i <= k; i++) for (int j = 0; j < n; j++) if (a[j] >= i && dp[i - a[j]] == false) dp[i] = true; dp[k] ? cout << "First" << endl : cout << "Second" << endl; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e2 + 2, K = 1e5 + 5; int a[MAXN]; bool dp[K]; int n, k; void input(); void solve(); int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); input(); solve(); return 0; } void input() { cin >> n >> k; for (int i = 0; i < n; i++) cin >> a[i]; } void solve() { for (int i = 1; i <= k; i++) for (int j = 0; j < n; j++) if (a[j] <= i && dp[i - a[j]] == false) dp[i] = true; dp[k] ? cout << "First" << endl : cout << "Second" << endl; }
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p03170
C++
Runtime Error
#include <bits/stdc++.h> #define ll long long using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, k; cin >> n >> k; vector<int> a(n); for (int i = 0; i < n; i++) cin >> a[i]; // dp[i] : TRUE if first player wins with i stones left vector<bool> dp(k + 1); for (int i = 0; i <= k; i++) { for (int x : a) { if (i >= x && !dp[i - k]) dp[i] = true; } } cout << (dp[k] ? "First" : "Second") << '\n'; return 0; }
#include <bits/stdc++.h> #define ll long long using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, k; cin >> n >> k; vector<int> a(n); for (int i = 0; i < n; i++) cin >> a[i]; // dp[i] : TRUE if first player wins with i stones left vector<bool> dp(k + 1); for (int i = 0; i <= k; i++) { for (int x : a) { if (i >= x && !dp[i - x]) dp[i] = true; } } cout << (dp[k] ? "First" : "Second") << '\n'; return 0; }
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p03170
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; using ll = long long; vector<int> memo(1e5 + 5, -1); int dp(vector<int> &v, int i) { if (i == 0) return 0; memo[i] = 0; for (int e : v) { if (e <= i) { if (!dp(v, i - e)) memo[i] = 1; } } return memo[i]; } signed main() { cin.tie(0); cin.sync_with_stdio(); int n, k; cin >> n >> k; vector<int> v(n); for (int &i : v) cin >> i; cout << (dp(v, k) ? "First" : "Second"); }
#include <bits/stdc++.h> using namespace std; using ll = long long; vector<int> memo(1e5 + 5, -1); int dp(vector<int> &v, int i) { if (i == 0) return 0; if (memo[i] != -1) return memo[i]; memo[i] = 0; for (int e : v) { if (e <= i) { if (!dp(v, i - e)) memo[i] = 1; } } return memo[i]; } signed main() { cin.tie(0); cin.sync_with_stdio(); int n, k; cin >> n >> k; vector<int> v(n); for (int &i : v) cin >> i; cout << (dp(v, k) ? "First" : "Second"); }
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