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3 values
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int64
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef unsigned long long ull; typedef long long ll; #define ll long long #define dd double #define MOD 1000000007 #define nl cout << endl #define rt ll Q[100005] = {0} #define mp make_pair #define test() \ ull t; \ cin >> t; \ while (t--) #define pb push_back #define ff first #define ss second #define all(v) v.begin(), v.end() #define oa(a, n) \ for (ll i = 0; i < n; i++) \ cout << a[i] << " "; \ nl #define cn(a, n) \ for (ll i = 0; i < n; i++) \ cin >> a[i] #define ov(a) \ for (ll i = 0; i < a.size(); i++) \ cout << a[i] << " "; \ nl #define fastio() \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) int main() { fastio(); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("outpu.txt", "w", stdout); #endif ll N; cin >> N; dd ar[N]; cn(ar, N); dd ans[N + 1][N + 1]; for (ll i = 0; i <= N; i++) { for (ll j = 0; j <= N; j++) { ans[i][j] = 0.0; } } ans[0][0] = 1.0; for (ll i = 1; i <= N; i++) { ans[i][0] = ans[i - 1][0] * (1 - ar[i - 1]); } ans[1][1] = ar[0]; for (ll i = 2; i <= N; i++) { for (ll j = 1; j < i; j++) { ans[i][j] = (ans[i - 1][j - 1] * ar[i - 1] + ans[i - 1][j] * (1 - ar[i - 1])); } ans[i][i] = ans[i - 1][i - 1] * ar[i - 1]; } dd sum = 0.0; for (ll i = N / 2 + 1; i <= N; i++) sum += ans[N][i]; cout << fixed << showpoint; cout << setprecision(12); cout << sum << endl; }
#include <bits/stdc++.h> using namespace std; typedef unsigned long long ull; typedef long long ll; #define ll long long #define dd double #define MOD 1000000007 #define nl cout << endl #define rt ll Q[100005] = {0} #define mp make_pair #define test() \ ull t; \ cin >> t; \ while (t--) #define pb push_back #define ff first #define ss second #define all(v) v.begin(), v.end() #define oa(a, n) \ for (ll i = 0; i < n; i++) \ cout << a[i] << " "; \ nl #define cn(a, n) \ for (ll i = 0; i < n; i++) \ cin >> a[i] #define ov(a) \ for (ll i = 0; i < a.size(); i++) \ cout << a[i] << " "; \ nl #define fastio() \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) int main() { fastio(); ll N; cin >> N; dd ar[N]; cn(ar, N); dd ans[N + 1][N + 1]; for (ll i = 0; i <= N; i++) { for (ll j = 0; j <= N; j++) { ans[i][j] = 0.0; } } ans[0][0] = 1.0; for (ll i = 1; i <= N; i++) { ans[i][0] = ans[i - 1][0] * (1 - ar[i - 1]); } ans[1][1] = ar[0]; for (ll i = 2; i <= N; i++) { for (ll j = 1; j < i; j++) { ans[i][j] = (ans[i - 1][j - 1] * ar[i - 1] + ans[i - 1][j] * (1 - ar[i - 1])); } ans[i][i] = ans[i - 1][i - 1] * ar[i - 1]; } dd sum = 0.0; for (ll i = N / 2 + 1; i <= N; i++) sum += ans[N][i]; cout << fixed << showpoint; cout << setprecision(12); cout << sum << endl; }
delete
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-11
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define F first #define S second #define PB push_back #define MP make_pair #define REP(i, a, b) for (int i = a; i < b; i++) typedef long long ll; #define int ll typedef vector<int> vi; typedef vector<long long> vl; typedef pair<int, int> pi; #define trace(x) cout << #x << "=" << x << "\n"; #define sz(x) (int)(x.size()) #define mod 1000000007 template <typename F, typename S> ostream &operator<<(ostream &os, const pair<F, S> &p) { return os << "(" << p.first << ", " << p.second << ")"; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) { os << "{"; typename vector<T>::const_iterator it; for (it = v.begin(); it != v.end(); it++) { if (it != v.begin()) os << ", "; os << *it; } return os << "}"; } template <typename T> ostream &operator<<(ostream &os, const set<T> &v) { os << "["; typename set<T>::const_iterator it; for (it = v.begin(); it != v.end(); it++) { if (it != v.begin()) os << ", "; os << *it; } return os << "]"; } template <typename F, typename S> ostream &operator<<(ostream &os, const map<F, S> &v) { os << "["; typename map<F, S>::const_iterator it; for (it = v.begin(); it != v.end(); it++) { if (it != v.begin()) os << ", "; os << it->first << " = " << it->second; } return os << "]"; } #define deb(x) cerr << #x << " = " << x << endl; vector<double> a; double dp[3005][3005]; double fun(int i, int k) { // deb(i); // deb(k); if (k > i) { return 0; } if (i == 1) { if (k == 1) { return a[i]; } if (k == 0) { double ans = 1 - a[i]; return ans; } } if (dp[i][k] != -1) { return dp[i][k]; } dp[i][k] = a[i] * fun(i - 1, k - 1) + (1 - a[i]) * fun(i - 1, k); return dp[i][k]; } int32_t main() { ios::sync_with_stdio(false); int n; cin >> n; a.resize(n + 1); for (int i = 0; i < 3005; i++) { for (int j = 0; j < 3005; j++) { dp[i][j] = -1; } } REP(i, 1, n + 1) { cin >> a[i]; } double ans = 0; for (int i = (n / 2) + 1; i <= n; i++) { ans += fun(n, i); } printf("%0.12lf\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; #define F first #define S second #define PB push_back #define MP make_pair #define REP(i, a, b) for (int i = a; i < b; i++) typedef long long ll; #define int ll typedef vector<int> vi; typedef vector<long long> vl; typedef pair<int, int> pi; #define trace(x) cout << #x << "=" << x << "\n"; #define sz(x) (int)(x.size()) #define mod 1000000007 template <typename F, typename S> ostream &operator<<(ostream &os, const pair<F, S> &p) { return os << "(" << p.first << ", " << p.second << ")"; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) { os << "{"; typename vector<T>::const_iterator it; for (it = v.begin(); it != v.end(); it++) { if (it != v.begin()) os << ", "; os << *it; } return os << "}"; } template <typename T> ostream &operator<<(ostream &os, const set<T> &v) { os << "["; typename set<T>::const_iterator it; for (it = v.begin(); it != v.end(); it++) { if (it != v.begin()) os << ", "; os << *it; } return os << "]"; } template <typename F, typename S> ostream &operator<<(ostream &os, const map<F, S> &v) { os << "["; typename map<F, S>::const_iterator it; for (it = v.begin(); it != v.end(); it++) { if (it != v.begin()) os << ", "; os << it->first << " = " << it->second; } return os << "]"; } #define deb(x) cerr << #x << " = " << x << endl; vector<double> a; double dp[3005][3005]; double fun(int i, int k) { // deb(i); // deb(k); if (k < 0) { return 0; } if (k > i) { return 0; } if (i == 1) { if (k == 1) { return a[i]; } if (k == 0) { double ans = 1 - a[i]; return ans; } } if (dp[i][k] != -1) { return dp[i][k]; } dp[i][k] = a[i] * fun(i - 1, k - 1) + (1 - a[i]) * fun(i - 1, k); return dp[i][k]; } int32_t main() { ios::sync_with_stdio(false); int n; cin >> n; a.resize(n + 1); for (int i = 0; i < 3005; i++) { for (int j = 0; j < 3005; j++) { dp[i][j] = -1; } } REP(i, 1, n + 1) { cin >> a[i]; } double ans = 0; for (int i = (n / 2) + 1; i <= n; i++) { ans += fun(n, i); } printf("%0.12lf\n", ans); return 0; }
insert
62
62
62
65
0
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; using ll = long long; const int N = 3001; double dp[N][N]; bool vis[N][N]; double p[N]; int n; double rec(int i, int h) { if (i == n) { return double(h > (n - h)); } auto &res = dp[i][h]; if (vis[i][h]) return res; return res = p[i] * rec(i + 1, h + 1) + (1 - p[i]) * (rec(i + 1, h)); } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.precision(20); cout << fixed; memset(dp, 0, sizeof dp); memset(vis, false, sizeof vis); cin >> n; for (int i = 0; i < n; ++i) { cin >> p[i]; } cout << rec(0, 0) << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const int N = 3001; double dp[N][N]; bool vis[N][N]; double p[N]; int n; double rec(int i, int h) { if (i == n) { return double(h > (n - h)); } auto &res = dp[i][h]; if (vis[i][h]) return res; vis[i][h] = true; return res = p[i] * rec(i + 1, h + 1) + (1 - p[i]) * (rec(i + 1, h)); } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.precision(20); cout << fixed; memset(dp, 0, sizeof dp); memset(vis, false, sizeof vis); cin >> n; for (int i = 0; i < n; ++i) { cin >> p[i]; } cout << rec(0, 0) << '\n'; return 0; }
insert
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TLE
p03168
C++
Runtime Error
// https://atcoder.jp/contests/dp/tasks/dp_i #include <algorithm> #include <iostream> #include <map> #include <set> #include <vector> using namespace std; #define lengthof(x) (sizeof(x) / sizeof(*(x))) #define EPS (1e-7) #define INF (1e9) #define MODI (1000000007) typedef long long ll; typedef pair<int, int> PII; typedef pair<ll, ll> PLL; // dp[i][j] : コインをi枚使い、j枚が表である確率 // double dp[3001][3001]; int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; // 入力、DP後、DP前 vector<double> p(n), dpA(n, 0), dpB(n, 0); for (int i = 0; i < n; i++) { cin >> p[i]; } dpB[0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { // i-1回目で表の枚数がj-1で、i回目が表 // i-1回目で表の枚数がjで、i回目が裏 dpA[j] = dpB[j - 1] * p[i - 1] + dpB[j] * (1.0 - p[i - 1]); } swap(dpB, dpA); } double ans = 0; for (int i = n / 2 + 1; i <= n; i++) { ans += dpB[i]; } printf("%0.10f\n", ans); return 0; }
// https://atcoder.jp/contests/dp/tasks/dp_i #include <algorithm> #include <iostream> #include <map> #include <set> #include <vector> using namespace std; #define lengthof(x) (sizeof(x) / sizeof(*(x))) #define EPS (1e-7) #define INF (1e9) #define MODI (1000000007) typedef long long ll; typedef pair<int, int> PII; typedef pair<ll, ll> PLL; // dp[i][j] : コインをi枚使い、j枚が表である確率 // double dp[3001][3001]; int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; // 入力、DP後、DP前 vector<double> p(n), dpA(n + 1, 0), dpB(n + 1, 0); for (int i = 0; i < n; i++) { cin >> p[i]; } dpB[0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { // i-1回目で表の枚数がj-1で、i回目が表 // i-1回目で表の枚数がjで、i回目が裏 dpA[j] = dpB[j - 1] * p[i - 1] + dpB[j] * (1.0 - p[i - 1]); } swap(dpB, dpA); } double ans = 0; for (int i = n / 2 + 1; i <= n; i++) { ans += dpB[i]; } printf("%0.10f\n", ans); return 0; }
replace
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-6
munmap_chunk(): invalid pointer
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define ld long double const int N = 1e3 + 5; int n; ld prob[N]; ld dp[N][N]; ld go(int idx, int heads) { if (idx > n) { int tails = n - heads; if (heads > tails) return 1; return 0; } if (dp[idx][heads] >= 0) return dp[idx][heads]; ld ans = go(idx + 1, heads + 1) * prob[idx] + go(idx + 1, heads) * (1.0 - prob[idx]); return dp[idx][heads] = ans; } void solve() { cin >> n; for (int i = 1; i <= n; i++) { cin >> prob[i]; } memset(dp, -1, sizeof(dp)); ld ans = go(1, 0); cout << fixed << setprecision(10); cout << ans; } int main() { int t = 1; // cin >> t; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; #define ld long double const int N = 3e3 + 5; int n; ld prob[N]; ld dp[N][N]; ld go(int idx, int heads) { if (idx > n) { int tails = n - heads; if (heads > tails) return 1; return 0; } if (dp[idx][heads] >= 0) return dp[idx][heads]; ld ans = go(idx + 1, heads + 1) * prob[idx] + go(idx + 1, heads) * (1.0 - prob[idx]); return dp[idx][heads] = ans; } void solve() { cin >> n; for (int i = 1; i <= n; i++) { cin >> prob[i]; } memset(dp, -1, sizeof(dp)); ld ans = go(1, 0); cout << fixed << setprecision(10); cout << ans; } int main() { int t = 1; // cin >> t; while (t--) { solve(); } return 0; }
replace
6
7
6
7
0
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #define N 3001 int n; int vis[N][N] = {0}; double dp[N][N], a[N], ans = 0; double solve(int i, int c, float p = 0) { if (i == n) { if (c > n / 2) return 1; return 0; } if (vis[i][c]) return dp[i][c]; return dp[i][c] = a[i] * solve(i + 1, c + 1) + (1 - a[i]) * solve(i + 1, c); } int main() { cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; ans = solve(0, 0, 1); cout << setprecision(10) << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define N 3001 int n; int vis[N][N] = {0}; double dp[N][N], a[N], ans = 0; double solve(int i, int c, float p = 0) { if (i == n) { if (c > n / 2) return 1; return 0; } if (vis[i][c]) return dp[i][c]; vis[i][c] = 1; return dp[i][c] = a[i] * solve(i + 1, c + 1) + (1 - a[i]) * solve(i + 1, c); } int main() { cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; ans = solve(0, 0, 1); cout << setprecision(10) << ans << endl; return 0; }
insert
18
18
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19
TLE
p03168
C++
Time Limit Exceeded
/* @author: Charan Sai */ #include <bits/stdc++.h> using namespace std; #define IOS \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define int long long #define ppi pair<int, int> #define endl "\n" #define nl cout << "\n" #define deb(x) cout << #x << " " << x << endl; double head_prob[3000]; double dp[3000][3000]; int n; // Base Case construction is really crucial double Top_Down(int i, int heads) { // Base Case if (i == 0 && heads == 0) return 1; if (i == 0 && heads != 0) return 0; if (dp[i][heads] != 0) return dp[i][heads]; // Choice if (heads == 0) { // Return prob of tail only return (dp[i][heads] = Top_Down(i - 1, heads) * (1 - head_prob[i])); } else if (i > heads) { return (dp[i][heads] = Top_Down(i - 1, heads - 1) * head_prob[i] + Top_Down(i - 1, heads) * (1 - head_prob[i])); } return (dp[i][heads] = Top_Down(i - 1, heads - 1) * head_prob[i]); } void Bottom_Up() { dp[0][0] = 1; for (int j = 1; j <= n; ++j) dp[0][j] = 0; for (int i = 1; i <= n; ++i) { for (int heads = 0; heads <= n; ++heads) { if (heads == 0) dp[i][heads] = dp[i - 1][heads] * (1 - head_prob[i]); else if (i > heads) { dp[i][heads] = dp[i - 1][heads - 1] * head_prob[i] + dp[i - 1][heads] * (1 - head_prob[i]); } else dp[i][heads] = dp[i - 1][heads - 1] * head_prob[i]; } } double total_prob = 0.0; for (int heads = n / 2 + 1; heads <= n; ++heads) { total_prob += dp[n][heads]; } cout << setprecision(10) << total_prob << endl; } int32_t main() { IOS; memset(dp, 0, sizeof(dp)); cin >> n; for (int i = 1; i <= n; ++i) { cin >> head_prob[i]; } double total_prob = 0.0; for (int heads = n / 2 + 1; heads <= n; ++heads) { // cout << Top_Down(n, heads); total_prob += Top_Down(n, heads); } Bottom_Up(); }
/* @author: Charan Sai */ #include <bits/stdc++.h> using namespace std; #define IOS \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define int long long #define ppi pair<int, int> #define endl "\n" #define nl cout << "\n" #define deb(x) cout << #x << " " << x << endl; double head_prob[3000]; double dp[3000][3000]; int n; // Base Case construction is really crucial double Top_Down(int i, int heads) { // Base Case if (i == 0 && heads == 0) return 1; if (i == 0 && heads != 0) return 0; if (dp[i][heads] != 0) return dp[i][heads]; // Choice if (heads == 0) { // Return prob of tail only return (dp[i][heads] = Top_Down(i - 1, heads) * (1 - head_prob[i])); } else if (i > heads) { return (dp[i][heads] = Top_Down(i - 1, heads - 1) * head_prob[i] + Top_Down(i - 1, heads) * (1 - head_prob[i])); } return (dp[i][heads] = Top_Down(i - 1, heads - 1) * head_prob[i]); } void Bottom_Up() { dp[0][0] = 1; for (int j = 1; j <= n; ++j) dp[0][j] = 0; for (int i = 1; i <= n; ++i) { for (int heads = 0; heads <= n; ++heads) { if (heads == 0) dp[i][heads] = dp[i - 1][heads] * (1 - head_prob[i]); else if (i > heads) { dp[i][heads] = dp[i - 1][heads - 1] * head_prob[i] + dp[i - 1][heads] * (1 - head_prob[i]); } else dp[i][heads] = dp[i - 1][heads - 1] * head_prob[i]; } } double total_prob = 0.0; for (int heads = n / 2 + 1; heads <= n; ++heads) { total_prob += dp[n][heads]; } cout << setprecision(10) << total_prob << endl; } int32_t main() { IOS; memset(dp, 0, sizeof(dp)); cin >> n; for (int i = 1; i <= n; ++i) { cin >> head_prob[i]; } Bottom_Up(); }
delete
74
79
74
74
TLE
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #define DEBUG 0 #define nl '\n' #define fori(n) for (int i = 0; i < n; ++i) #define forj(n) for (int j = 0; j < n; ++j) #define fork(n) for (int k = 0; k < n; ++k) #define forl(n) for (int l = 0; l < n; ++l) #define pq priority_queue #define umap unordered_map #define uset unordered_set #define ppb push_back typedef long long ll; typedef pair<int, int> pii; typedef vector<bool> vbool; typedef vector<int> vint; typedef vector<ll> vll; typedef long double ld; typedef vector<vector<int>> vvi; typedef vector<vbool> vvb; const ll N = 100010; const ll INF = 0x3f3f3f3f; const ll MOD = 1e9 + 7; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; vector<ld> a(n); fori(n) { cin >> a[i]; } vector<vector<ld>> dp(n + 1, vector<ld>(n + 1, 1.0)); fori(n + 1) forj(n + 1) if (j > i) dp[i][j] = 0; for (int i = 1; i <= n; ++i) { for (int j = 0; j <= n; ++j) { dp[i][j] = dp[i - 1][j] * (1 - a[i - 1]); if (j > 0) dp[i][j] += dp[i - 1][j - 1] * a[i - 1]; } } fori(n + 1) { forj(n + 1) cerr << dp[i][j] << " "; cerr << nl; } ld ans = 0; for (int j = n / 2 + 1; j <= n; ++j) ans += dp[n][j]; cout << fixed << setprecision(10) << ans << nl; #if DEBUG cerr << "Time: " << (ld)clock() / CLOCKS_PER_SEC << " s" << nl; #endif return 0; }
#include <bits/stdc++.h> using namespace std; #define DEBUG 0 #define nl '\n' #define fori(n) for (int i = 0; i < n; ++i) #define forj(n) for (int j = 0; j < n; ++j) #define fork(n) for (int k = 0; k < n; ++k) #define forl(n) for (int l = 0; l < n; ++l) #define pq priority_queue #define umap unordered_map #define uset unordered_set #define ppb push_back typedef long long ll; typedef pair<int, int> pii; typedef vector<bool> vbool; typedef vector<int> vint; typedef vector<ll> vll; typedef long double ld; typedef vector<vector<int>> vvi; typedef vector<vbool> vvb; const ll N = 100010; const ll INF = 0x3f3f3f3f; const ll MOD = 1e9 + 7; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin >> n; vector<ld> a(n); fori(n) { cin >> a[i]; } vector<vector<ld>> dp(n + 1, vector<ld>(n + 1, 1.0)); fori(n + 1) forj(n + 1) if (j > i) dp[i][j] = 0; for (int i = 1; i <= n; ++i) { for (int j = 0; j <= n; ++j) { dp[i][j] = dp[i - 1][j] * (1 - a[i - 1]); if (j > 0) dp[i][j] += dp[i - 1][j - 1] * a[i - 1]; } } ld ans = 0; for (int j = n / 2 + 1; j <= n; ++j) ans += dp[n][j]; cout << fixed << setprecision(10) << ans << nl; #if DEBUG cerr << "Time: " << (ld)clock() / CLOCKS_PER_SEC << " s" << nl; #endif return 0; }
delete
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TLE
p03168
C++
Runtime Error
#include <iomanip> #include <iostream> #include <vector> using namespace std; int main() { int N; cin >> N; vector<double> p(N); for (int i = 0; i < N; i++) { cin >> p[i]; } double dp[3000][3000]; for (int i = 0; i < 3000; i++) { for (int j = 0; j < 3000; j++) { dp[i][j] = 0; } } // 初期化 dp[0][0] = 1.0; for (int i = 0; i <= N; i++) { for (int j = 0; j <= i; j++) { dp[i + 1][j + 1] += dp[i][j] * p[i]; dp[i + 1][j] += dp[i][j] * (1.0 - p[i]); } } double sum = 0; for (int j = (N + 1) / 2; j <= N; j++) { sum += dp[N][j]; } cout << setprecision(10) << sum << endl; return 0; }
#include <iomanip> #include <iostream> #include <vector> using namespace std; int main() { int N; cin >> N; vector<double> p(N); for (int i = 0; i < N; i++) { cin >> p[i]; } double dp[3000][3000]; for (int i = 0; i < 3000; i++) { for (int j = 0; j < 3000; j++) { dp[i][j] = 0; } } // 初期化 dp[0][0] = 1.0; for (int i = 0; i < N; i++) { for (int j = 0; j <= i; j++) { dp[i + 1][j + 1] += dp[i][j] * p[i]; dp[i + 1][j] += dp[i][j] * (1.0 - p[i]); } } double sum = 0; for (int j = (N + 1) / 2; j <= N; j++) { sum += dp[N][j]; } cout << setprecision(10) << sum << endl; return 0; }
replace
23
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-11
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #define mp make_pair #define pb push_back #define rep(i, a, b) for (int i = a; i < b; i++) #define repA(i, a, b) for (ll i = a; i <= b; i++) #define repD(i, b, a) for (int i = b; i >= a; i--) #define fill(a, val) memset(a, val, sizeof(a)) #define f first #define s second typedef long long ll; typedef pair<int, int> pii; typedef vector<int> vi; int mod = 1000000007; const int maxN = 3000; double p[maxN]; double dp[maxN][maxN]; int n; double solve(int id, int h_cnt) { if (h_cnt == 0) return 1; if (id == 0) return 0; if (dp[id][h_cnt] > 0.9) return dp[id][h_cnt]; return dp[id][h_cnt] = p[id] * solve(id - 1, h_cnt - 1) + (1 - p[id]) * solve(id - 1, h_cnt); // return ans; } int main() { cin >> n; repA(i, 1, n) cin >> p[i]; fill(dp, -1); cout << fixed << setprecision(10); cout << solve(n, (n + 1) / 2) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define mp make_pair #define pb push_back #define rep(i, a, b) for (int i = a; i < b; i++) #define repA(i, a, b) for (ll i = a; i <= b; i++) #define repD(i, b, a) for (int i = b; i >= a; i--) #define fill(a, val) memset(a, val, sizeof(a)) #define f first #define s second typedef long long ll; typedef pair<int, int> pii; typedef vector<int> vi; int mod = 1000000007; const int maxN = 3000; double p[maxN]; double dp[maxN][maxN]; int n; double solve(int id, int h_cnt) { if (h_cnt == 0) return 1; if (id == 0) return 0; if (dp[id][h_cnt] > -0.9) return dp[id][h_cnt]; return dp[id][h_cnt] = p[id] * solve(id - 1, h_cnt - 1) + (1 - p[id]) * solve(id - 1, h_cnt); // return ans; } int main() { cin >> n; repA(i, 1, n) cin >> p[i]; fill(dp, -1); cout << fixed << setprecision(10); cout << solve(n, (n + 1) / 2) << endl; return 0; }
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TLE
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int u = 1e5 + 5; int main() { int n; cin >> n; long double a[n]; for (int i = 0; i < n; i++) cin >> a[i]; if (n > 2) { long double dp[n + 1][n + 1]; memset(dp, 0, sizeof dp); dp[0][0] = 1; for (int i = 1; i <= n; i++) dp[i][0] = dp[i - 1][0] * (1 - a[i - 1]); for (int i = 1; i <= n; i++) dp[0][i] = dp[0][i - 1] * (a[i - 1]); for (int i = 1; i < n - i; i++) for (int j = 1; j <= n; j++) { dp[i][j] = dp[i][j - 1] * (a[i + j - 1]) + dp[i - 1][j] * (1 - a[i + j - 1]); } double d = 0; for (int i = n; i >= (n + 1) / 2; i--) d += dp[n - i][i]; cout << fixed << setprecision(9) << d; } else { long double d = 1; for (int i = 0; i < n; i++) d *= a[i]; cout << fixed << setprecision(9) << d; } }
#include <bits/stdc++.h> using namespace std; int u = 1e5 + 5; int main() { int n; cin >> n; long double a[n]; for (int i = 0; i < n; i++) cin >> a[i]; if (n > 2) { long double dp[n + 1][n + 1]; memset(dp, 0, sizeof dp); dp[0][0] = 1; for (int i = 1; i <= n; i++) dp[i][0] = dp[i - 1][0] * (1 - a[i - 1]); for (int i = 1; i <= n; i++) dp[0][i] = dp[0][i - 1] * (a[i - 1]); dp[0][0] = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n - i; j++) { dp[i][j] = dp[i][j - 1] * (a[i + j - 1]) + dp[i - 1][j] * (1 - a[i + j - 1]); } double d = 0; for (int i = n; i >= (n + 1) / 2; i--) d += dp[n - i][i]; cout << fixed << setprecision(9) << d; } else { long double d = 1; for (int i = 0; i < n; i++) d *= a[i]; cout << fixed << setprecision(9) << d; } }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #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 fi first #define se second #define mp make_pair #define itrfor(itr, A) for (auto itr = A.begin(); itr != A.end(); itr++) template <class T> using reversed_priority_queue = priority_queue<T, vector<T>, greater<T>>; typedef long long llong; char moji[26] = {'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z'}; char moji2[26] = {'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z'}; char moji3[10] = {'0', '1', '2', '3', '4', '5', '6', '7', '8', '9'}; #define Sort(a) sort(a.begin(), a.end()); #define Reverse(a) reverse(a.begin(), a.end()); #define print(a) cout << a << endl; #define MOD llong(1e9 + 7) #define MAX int(2 * 1e5 + 5) #define debug(x) cout << #x << " = " << (x) << endl; #define pi acos(-1.0) #define int llong #define INF llong(1e17) template <class T> bool chmax(T &a, T b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool chmin(T &a, T b) { if (a > b) { a = b; return 1; } return 0; } void myprint(int *A, int A_num) { REP(i, A_num) cout << A[i] << " "; cout << endl; } const int n_max = 305; signed main() { int n; cin >> n; double p[n]; REP(i, n) cin >> p[i]; double dp[n_max][n_max]; REP(i, n + 1) REP(j, i + 1) dp[i][j] = 0.0; dp[0][0] = 1.0; REP(i, n) { REP(j, i + 2) { if (j != 0 and j != i + 1) { dp[i + 1][j] = p[i] * dp[i][j - 1] + (1 - p[i]) * dp[i][j]; } else if (j == 0) { dp[i + 1][j] = (1 - p[i]) * dp[i][j]; } else dp[i + 1][j] = p[i] * dp[i][j - 1]; } } double ans = 0.0; FOR(i, n / 2 + 1, n + 1) { ans += dp[n][i]; } cout << fixed << setprecision(12) << ans << endl; }
#include <bits/stdc++.h> using namespace std; #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 fi first #define se second #define mp make_pair #define itrfor(itr, A) for (auto itr = A.begin(); itr != A.end(); itr++) template <class T> using reversed_priority_queue = priority_queue<T, vector<T>, greater<T>>; typedef long long llong; char moji[26] = {'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z'}; char moji2[26] = {'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z'}; char moji3[10] = {'0', '1', '2', '3', '4', '5', '6', '7', '8', '9'}; #define Sort(a) sort(a.begin(), a.end()); #define Reverse(a) reverse(a.begin(), a.end()); #define print(a) cout << a << endl; #define MOD llong(1e9 + 7) #define MAX int(2 * 1e5 + 5) #define debug(x) cout << #x << " = " << (x) << endl; #define pi acos(-1.0) #define int llong #define INF llong(1e17) template <class T> bool chmax(T &a, T b) { if (a < b) { a = b; return 1; } return 0; } template <class T> bool chmin(T &a, T b) { if (a > b) { a = b; return 1; } return 0; } void myprint(int *A, int A_num) { REP(i, A_num) cout << A[i] << " "; cout << endl; } const int n_max = 3005; signed main() { int n; cin >> n; double p[n]; REP(i, n) cin >> p[i]; double dp[n_max][n_max]; REP(i, n + 1) REP(j, i + 1) dp[i][j] = 0.0; dp[0][0] = 1.0; REP(i, n) { REP(j, i + 2) { if (j != 0 and j != i + 1) { dp[i + 1][j] = p[i] * dp[i][j - 1] + (1 - p[i]) * dp[i][j]; } else if (j == 0) { dp[i + 1][j] = (1 - p[i]) * dp[i][j]; } else dp[i + 1][j] = p[i] * dp[i][j - 1]; } } double ans = 0.0; FOR(i, n / 2 + 1, n + 1) { ans += dp[n][i]; } cout << fixed << setprecision(12) << ans << endl; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; using pii = pair<int, int>; #define dbg(n) cout << '\n' << #n << " is " << n << '\n'; #define pb push_back #define all(v) v.begin(), v.end() #define cs(i) cout << "Case " << i + 1 << ": \n"; #define FAST \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); const int N = 1e3 + 5; const int INF = 0x7fffffff; double p[N]; double dp[N][N]; int main() { int n, t, hold = 0; cin >> n; for (int i = 0; i < n; i++) cin >> p[i]; dp[0][0] = 1.00; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { if (j) dp[i][j] += dp[i - 1][j - 1] * p[i - 1]; dp[i][j] += dp[i - 1][j] * (1.0 - p[i - 1]); } } double ans = 0; for (int i = 0; i <= n; i++) if (i > n - i) ans += dp[n][i]; /*dbg(n) for(int i=0;i<=n;i++){ for(int j=0;j<=n;j++){ cout<<dp[i][j]<<" "; } cout<<endl; }*/ cout << fixed << setprecision(12); cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using pii = pair<int, int>; #define dbg(n) cout << '\n' << #n << " is " << n << '\n'; #define pb push_back #define all(v) v.begin(), v.end() #define cs(i) cout << "Case " << i + 1 << ": \n"; #define FAST \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); const int N = 3e3 + 5; const int INF = 0x7fffffff; double p[N]; double dp[N][N]; int main() { int n, t, hold = 0; cin >> n; for (int i = 0; i < n; i++) cin >> p[i]; dp[0][0] = 1.00; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { if (j) dp[i][j] += dp[i - 1][j - 1] * p[i - 1]; dp[i][j] += dp[i - 1][j] * (1.0 - p[i - 1]); } } double ans = 0; for (int i = 0; i <= n; i++) if (i > n - i) ans += dp[n][i]; /*dbg(n) for(int i=0;i<=n;i++){ for(int j=0;j<=n;j++){ cout<<dp[i][j]<<" "; } cout<<endl; }*/ cout << fixed << setprecision(12); cout << ans << endl; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define N 1010 #define pb push_back #define fi first #define se second #define si size() #define ll long long #define mp make_pair #define iter ::iterator #define all(v) v.begin(), v.end() #define pp pop_back #define mapiter map<int, int>::iterator #define forn(i, n) for (int i = 0; i < n; ++i) #define forn1(i, n) for (int i = 1; i <= n; ++i) #define forr(i, n) for (int i = n - 1; i >= 0; --i) #define forr1(i, n) for (int i = n; i >= 1; --i) #define form(l, r, i) for (int i = l; i <= r; ++i) #define forv(r, l, i) for (int i = r; i >= l; --i) #define r0 return 0 #define barnarnar \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define lld long double #define elif else if const ll inf = 1e9 + 7; const lld EPS = 0.00000001; const ll modw = 1e9 + 7; using namespace std; lld dp[N][N]; // pref:tails lld a[N]; int main() { barnarnar int n; cin >> n; forn1(i, n) cin >> a[i]; dp[0][0] = 1; forn1(i, n) { for (int j = 0; j <= i; j++) { dp[i][j] = dp[i - 1][j] * (1 - a[i]) + dp[i - 1][j - 1] * a[i]; } } lld ans = 0; for (int i = n / 2 + n % 2; i <= n; i++) ans += dp[n][i]; cout << setprecision(10) << fixed; cout << ans; return 0; } /* 5 11000 11100 01100 00000 00000 */
#include <bits/stdc++.h> #define N 3010 #define pb push_back #define fi first #define se second #define si size() #define ll long long #define mp make_pair #define iter ::iterator #define all(v) v.begin(), v.end() #define pp pop_back #define mapiter map<int, int>::iterator #define forn(i, n) for (int i = 0; i < n; ++i) #define forn1(i, n) for (int i = 1; i <= n; ++i) #define forr(i, n) for (int i = n - 1; i >= 0; --i) #define forr1(i, n) for (int i = n; i >= 1; --i) #define form(l, r, i) for (int i = l; i <= r; ++i) #define forv(r, l, i) for (int i = r; i >= l; --i) #define r0 return 0 #define barnarnar \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define lld long double #define elif else if const ll inf = 1e9 + 7; const lld EPS = 0.00000001; const ll modw = 1e9 + 7; using namespace std; lld dp[N][N]; // pref:tails lld a[N]; int main() { barnarnar int n; cin >> n; forn1(i, n) cin >> a[i]; dp[0][0] = 1; forn1(i, n) { for (int j = 0; j <= i; j++) { dp[i][j] = dp[i - 1][j] * (1 - a[i]) + dp[i - 1][j - 1] * a[i]; } } lld ans = 0; for (int i = n / 2 + n % 2; i <= n; i++) ans += dp[n][i]; cout << setprecision(10) << fixed; cout << ans; return 0; } /* 5 11000 11100 01100 00000 00000 */
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p03168
C++
Time Limit Exceeded
#include <algorithm> #include <cstdio> #include <cstring> #include <ctype.h> #include <iostream> #define mp make_pair using namespace std; typedef long long LL; typedef pair<int, int> pii; typedef pair<int, LL> pil; const int MAXN = 3500; template <typename T> inline T read() { T res = 0, flag = 1; char in = getchar(); while (!isdigit(in)) { if (in == '-') flag = -1; in = getchar(); } while (isdigit(in)) { res = (res << 1) + (res << 3) + in - '0'; in = getchar(); } return res * flag; } template <typename T> inline void chkmax(T &a, T b) { if (a < b) a = b; } template <typename T> inline void chkmin(T &a, T b) { if (a > b) a = b; } double dp[MAXN][MAXN]; double p[MAXN], ans; int n; inline void solve() { n = read<int>(); for (int i = 1; i <= n; ++i) scanf("%lf", &p[i]); dp[0][0] = 1; for (int i = 1; i <= n; ++i) for (int j = 0; j <= i; ++j) { dp[i][j] += dp[i - 1][j] * (1 - p[i]); if (j) dp[i][j] += dp[i - 1][j - 1] * p[i]; } for (int i = 1; i <= n; ++i) if (i > n - i) ans += dp[n][i]; printf("%.10lf", ans); } int main() { #ifndef ONLINE_JUDGE freopen("I.in", "r", stdin); freopen("I.out", "w", stdout); #endif solve(); return 0; }
#include <algorithm> #include <cstdio> #include <cstring> #include <ctype.h> #include <iostream> #define mp make_pair using namespace std; typedef long long LL; typedef pair<int, int> pii; typedef pair<int, LL> pil; const int MAXN = 3500; template <typename T> inline T read() { T res = 0, flag = 1; char in = getchar(); while (!isdigit(in)) { if (in == '-') flag = -1; in = getchar(); } while (isdigit(in)) { res = (res << 1) + (res << 3) + in - '0'; in = getchar(); } return res * flag; } template <typename T> inline void chkmax(T &a, T b) { if (a < b) a = b; } template <typename T> inline void chkmin(T &a, T b) { if (a > b) a = b; } double dp[MAXN][MAXN]; double p[MAXN], ans; int n; inline void solve() { n = read<int>(); for (int i = 1; i <= n; ++i) scanf("%lf", &p[i]); dp[0][0] = 1; for (int i = 1; i <= n; ++i) for (int j = 0; j <= i; ++j) { dp[i][j] += dp[i - 1][j] * (1 - p[i]); if (j) dp[i][j] += dp[i - 1][j - 1] * p[i]; } for (int i = 1; i <= n; ++i) if (i > n - i) ans += dp[n][i]; printf("%.10lf", ans); } int main() { solve(); return 0; }
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TLE
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; int n; ld dp[3005][3005]; ld p[3005]; bool mark[3005][3005]; ld solve(int up, int down) { if (up + down == n) return up > down ? 1 : 0; if (mark[up][down]) return dp[up][down]; ld &ans = dp[up][down]; int idx = up + down; return ans = solve(up + 1, down) * p[idx] + solve(up, down + 1) * (1 - p[idx]); } int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin >> n; for (int i = 0; i < n; i++) cin >> p[i]; cout << fixed << setprecision(12) << solve(0, 0); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double ld; int n; ld dp[3005][3005]; ld p[3005]; bool mark[3005][3005]; ld solve(int up, int down) { if (up + down == n) return up > down ? 1 : 0; if (mark[up][down]) return dp[up][down]; mark[up][down] = 1; ld &ans = dp[up][down]; int idx = up + down; return ans = solve(up + 1, down) * p[idx] + solve(up, down + 1) * (1 - p[idx]); } int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin >> n; for (int i = 0; i < n; i++) cin >> p[i]; cout << fixed << setprecision(12) << solve(0, 0); return 0; }
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p03168
C++
Runtime Error
#include <iomanip> #include <iostream> #include <stdio.h> using namespace std; const int maxn = 1e3 + 100; int n; double ans; double a[maxn]; double dp[maxn][maxn]; int main() { cout << fixed << setprecision(10); scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%lf", &a[i]); dp[0][0] = 1; for (int i = 1; i <= n; i++) for (int j = 0; j <= i; j++) { if (j > 0) dp[i][j] += dp[i - 1][j - 1] * a[i]; dp[i][j] += dp[i - 1][j] * (1 - a[i]); } for (int i = 0; i <= n; i++) if (n - i < i) ans += dp[n][i]; printf("%.12f\n", ans); return 0; }
#include <iomanip> #include <iostream> #include <stdio.h> using namespace std; const int maxn = 3e3 + 100; int n; double ans; double a[maxn]; double dp[maxn][maxn]; int main() { cout << fixed << setprecision(10); scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%lf", &a[i]); dp[0][0] = 1; for (int i = 1; i <= n; i++) for (int j = 0; j <= i; j++) { if (j > 0) dp[i][j] += dp[i - 1][j - 1] * a[i]; dp[i][j] += dp[i - 1][j] * (1 - a[i]); } for (int i = 0; i <= n; i++) if (n - i < i) ans += dp[n][i]; printf("%.12f\n", ans); return 0; }
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p03168
C++
Runtime Error
#include <array> #include <bits/stdc++.h> #include <iostream> using namespace std; #define int long long #define fast_cin \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL) #define endl "\n" #define endl "\n" #define with_tests \ int t; \ cin >> t; \ while (t--) { \ solve(); \ cout << endl; \ } #define without_tests \ solve(); \ cout << endl; #define CEIL(x, y) (ll) ceil((long double)(x) / (long double)(y)) #define epsilon 1e-9 typedef long long ll; const int mod = 1e9 + 7; const int N = 1e3 + 1; // vector<int> adj[N]; // int vis[N]; // int dp[N]; // int n, u, v; // // int dp[N][N]; // int dfs(int u){ // if(vis[u] == 1){ // return dp[u]; // } // vis[u] = 1; // for(int v: adj[u]){ // dp[u] = max(dp[u], dfs(v)+1); // } // return dp[u]; // } char a[N][N]; double dp[N][N]; double p[N]; void solve() { int n; cin >> n; // vector<double> p(n+1); for (int i = 1; i <= n; i++) { cin >> p[i]; // cout } dp[1][1] = p[1]; dp[1][0] = 1.0 - p[1]; for (int i = 2; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1.0 - p[i]); for (int j = 1; j <= i; j++) { dp[i][j] = dp[i - 1][j] * (1.0 - p[i]) + dp[i - 1][j - 1] * p[i]; } } double ans = 0.0; for (int i = (n + 1) / 2; i <= n; i++) { ans += dp[n][i]; // cout << i << " " << dp[n][i] << endl; } cout << fixed << setprecision(12) << ans; } int32_t main() { fast_cin; // with_tests; without_tests; return 0; }
#include <array> #include <bits/stdc++.h> #include <iostream> using namespace std; #define int long long #define fast_cin \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL) #define endl "\n" #define endl "\n" #define with_tests \ int t; \ cin >> t; \ while (t--) { \ solve(); \ cout << endl; \ } #define without_tests \ solve(); \ cout << endl; #define CEIL(x, y) (ll) ceil((long double)(x) / (long double)(y)) #define epsilon 1e-9 typedef long long ll; const int mod = 1e9 + 7; const int N = 3e3 + 1; // vector<int> adj[N]; // int vis[N]; // int dp[N]; // int n, u, v; // // int dp[N][N]; // int dfs(int u){ // if(vis[u] == 1){ // return dp[u]; // } // vis[u] = 1; // for(int v: adj[u]){ // dp[u] = max(dp[u], dfs(v)+1); // } // return dp[u]; // } char a[N][N]; double dp[N][N]; double p[N]; void solve() { int n; cin >> n; // vector<double> p(n+1); for (int i = 1; i <= n; i++) { cin >> p[i]; // cout } dp[1][1] = p[1]; dp[1][0] = 1.0 - p[1]; for (int i = 2; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1.0 - p[i]); for (int j = 1; j <= i; j++) { dp[i][j] = dp[i - 1][j] * (1.0 - p[i]) + dp[i - 1][j - 1] * p[i]; } } double ans = 0.0; for (int i = (n + 1) / 2; i <= n; i++) { ans += dp[n][i]; // cout << i << " " << dp[n][i] << endl; } cout << fixed << setprecision(12) << ans; } int32_t main() { fast_cin; // with_tests; without_tests; return 0; }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; double dp[3001][3001]; double solve(vector<double> ar, int i, int x) { if (x == 0) { return 1; } if (i == 0) { return 0; } if (dp[i][x] > -0.9) { return dp[i][x]; } return dp[i][x] = ar[i] * solve(ar, i - 1, x - 1) + (1 - ar[i]) * solve(ar, i - 1, x); } int main() { int n; cin >> n; memset(dp, -1, sizeof dp); vector<double> ar(n + 1); for (int i = 1; i <= n; i++) { cin >> ar[i]; } cout << fixed << setprecision(10) << solve(ar, n, (n + 1) / 2); }
#include <bits/stdc++.h> using namespace std; double dp[3001][3001]; double solve(vector<double> &ar, int i, int x) { if (x == 0) { return 1; } if (i == 0) { return 0; } if (dp[i][x] > -0.9) { return dp[i][x]; } return dp[i][x] = ar[i] * solve(ar, i - 1, x - 1) + (1 - ar[i]) * solve(ar, i - 1, x); } int main() { int n; cin >> n; memset(dp, -1, sizeof dp); vector<double> ar(n + 1); for (int i = 1; i <= n; i++) { cin >> ar[i]; } cout << fixed << setprecision(10) << solve(ar, n, (n + 1) / 2); }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<int64_t, int64_t> pll; typedef vector<int64_t> vl; int dx[] = {1, -1, 0, 0, 1, -1, 1, -1}; int dy[] = {0, 0, 1, -1, 1, -1, -1, 1}; const long double PI = acos(-1); #define INF (2147483647) #define mod (1000000007) #define limit (7368791) #define rep(i, a, b) for (int64_t i = (a); i < (b); i++) #define REP(i, n) rep(i, 0, n) #define sz(s) (s).size() #define ALL(a) begin(a), end(a) #define mp make_pair #define pb push_back #define eb emplace_back #define fi first #define se second vector<vector<double>> dp(3010, vector<double>(1600, 0)); void solve() { int n; cin >> n; dp[0][0] = 1; double p; REP(i, n) { cin >> p; REP(j, i + 1) { dp[i + 1][j] += dp[i][j] * p; dp[i + 1][j + 1] += dp[i][j] * (1 - p); } } p = 0; REP(i, (n + 1) / 2) p += dp[n][i]; // REP(i,n+1){REP(j,i+1)cout<<dp[i][j]<<" ";cout<<endl;} cout << fixed << setprecision(10) << p << endl; } int main() { cin.tie(0); ios::sync_with_stdio(false); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int, int> pii; typedef pair<int64_t, int64_t> pll; typedef vector<int64_t> vl; int dx[] = {1, -1, 0, 0, 1, -1, 1, -1}; int dy[] = {0, 0, 1, -1, 1, -1, -1, 1}; const long double PI = acos(-1); #define INF (2147483647) #define mod (1000000007) #define limit (7368791) #define rep(i, a, b) for (int64_t i = (a); i < (b); i++) #define REP(i, n) rep(i, 0, n) #define sz(s) (s).size() #define ALL(a) begin(a), end(a) #define mp make_pair #define pb push_back #define eb emplace_back #define fi first #define se second double dp[3000][3000]; void solve() { int n; cin >> n; dp[0][0] = 1; double p; REP(i, n) { cin >> p; REP(j, i + 1) { dp[i + 1][j] += dp[i][j] * p; dp[i + 1][j + 1] += dp[i][j] * (1 - p); } } p = 0; REP(i, (n + 1) / 2) p += dp[n][i]; // REP(i,n+1){REP(j,i+1)cout<<dp[i][j]<<" ";cout<<endl;} cout << fixed << setprecision(10) << p << endl; } int main() { cin.tie(0); ios::sync_with_stdio(false); solve(); return 0; }
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p03168
C++
Time Limit Exceeded
#include <algorithm> #include <bitset> #include <deque> #include <functional> #include <iostream> #include <list> #include <map> #include <math.h> #include <memory.h> #include <queue> #include <set> #include <stack> #include <string.h> #include <string> #include <time.h> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; typedef long long ll; int n; double dp[3000][3000]; vector<double> v; double calc(int idx, int sum) { if (idx == n) { if (sum > n / 2) return 1.0; return 0.0; } double &ret = dp[idx][sum]; if (ret < 0) return ret; ret = v[idx] * calc(idx + 1, sum + 1) + (1 - v[idx]) * calc(idx + 1, sum); return ret; } int main() { // freopen("src.txt", "r", stdin); memset(dp, -1, sizeof dp); cin >> n; v.resize(n); for (int i = 0; i < n; ++i) cin >> v[i]; printf("%.15f\n", v[0] * calc(1, 1) + (1 - v[0]) * calc(1, 0)); return 0; }
#include <algorithm> #include <bitset> #include <deque> #include <functional> #include <iostream> #include <list> #include <map> #include <math.h> #include <memory.h> #include <queue> #include <set> #include <stack> #include <string.h> #include <string> #include <time.h> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; typedef long long ll; int n; double dp[3000][3000]; vector<double> v; double calc(int idx, int sum) { if (idx == n) { if (sum > n / 2) return 1.0; return 0.0; } double &ret = dp[idx][sum]; if (ret > -1) return ret; ret = v[idx] * calc(idx + 1, sum + 1) + (1 - v[idx]) * calc(idx + 1, sum); return ret; } int main() { // freopen("src.txt", "r", stdin); memset(dp, -1, sizeof dp); cin >> n; v.resize(n); for (int i = 0; i < n; ++i) cin >> v[i]; printf("%.15f\n", v[0] * calc(1, 1) + (1 - v[0]) * calc(1, 0)); return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define pb push_back #define rep(a, b, c) for (int a = (int)b; a < (int)c; a++) #define repe(a, b, c) for (int a = (int)b; a <= (int)c; a++) #define repk(a, b, c, k) for (int a = (int)b; a < (int)c; a += (int)k) #define comeback \ std::ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define mod 1000000007 #define int long long int #define pii pair<int, int> #define ful(a) a.begin(), a.end() #define ub upper_bound #define lb lower_bound #define ff first #define ss second using namespace std; int em(int x, int n) { if (n == 0) return 1; else if (n % 2 == 0) return em((x % mod * x % mod) % mod, n / 2); else return (x % mod * em((x % mod * x % mod) % mod, (n - 1) / 2)) % mod; } double dp[1009][1009]; signed main() { comeback /*#ifndef ONLINE_JUDGE freopen("input.txt","r",stdin); freopen("output1.txt","w",stdout); #endif*/ int n, m, i, j, k, l; cin >> n; double pr[n + 1]; repe(i, 1, n) cin >> pr[i]; memset(dp, 0, sizeof(dp)); dp[0][0] = 1; repe(i, 1, n) { repe(j, 0, i) { if (j - 1 >= 0) dp[i][j] = (dp[i - 1][j - 1] * (1 - pr[i]) + dp[i - 1][j] * pr[i]); else dp[i][j] = dp[i - 1][j] * pr[i]; } } double ans = 0; repe(i, 0, n / 2) ans += dp[n][i]; cout << fixed << setprecision(9) << ans; }
#include <bits/stdc++.h> #define pb push_back #define rep(a, b, c) for (int a = (int)b; a < (int)c; a++) #define repe(a, b, c) for (int a = (int)b; a <= (int)c; a++) #define repk(a, b, c, k) for (int a = (int)b; a < (int)c; a += (int)k) #define comeback \ std::ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define mod 1000000007 #define int long long int #define pii pair<int, int> #define ful(a) a.begin(), a.end() #define ub upper_bound #define lb lower_bound #define ff first #define ss second using namespace std; int em(int x, int n) { if (n == 0) return 1; else if (n % 2 == 0) return em((x % mod * x % mod) % mod, n / 2); else return (x % mod * em((x % mod * x % mod) % mod, (n - 1) / 2)) % mod; } double dp[3009][3009]; signed main() { comeback /*#ifndef ONLINE_JUDGE freopen("input.txt","r",stdin); freopen("output1.txt","w",stdout); #endif*/ int n, m, i, j, k, l; cin >> n; double pr[n + 1]; repe(i, 1, n) cin >> pr[i]; memset(dp, 0, sizeof(dp)); dp[0][0] = 1; repe(i, 1, n) { repe(j, 0, i) { if (j - 1 >= 0) dp[i][j] = (dp[i - 1][j - 1] * (1 - pr[i]) + dp[i - 1][j] * pr[i]); else dp[i][j] = dp[i - 1][j] * pr[i]; } } double ans = 0; repe(i, 0, n / 2) ans += dp[n][i]; cout << fixed << setprecision(9) << ans; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse2") /* |||||||||||||||||||||||||||||||||||||||||||||||| | ||| | |||| |||| | | | | | | | | | | | | | | | | | | | | | | | | ||||||| | | ||||||| ||| ||| ||||| | | | | | | | | | | | | | ||| | | | || |||| | | |||||||||||||||||||||||||||||||||||||||||||||||| */ using namespace std; // #include "testlib.h" #define ff first #define ss second #define mp make_pair #define all(v) v.begin(), v.end() #define int long long #define ll long long #define M 1000000007 #define inputarr(a, n) \ for (int i = 0; i < n; ++i) \ cin >> a[i] #define GCD(m, n) __gcd(m, n) #define LCM(m, n) m *(n / GCD(m, n)) #define mii map<ll, ll> #define msi map<string, ll> #define mis map<ll int, string> #define rep(a, b) for (ll i = a; i < b; i++) #define rep0(n) for (ll i = 0; i < n; i++) #define repi(i, a, b) for (ll i = a; i < b; i++) #define pb push_back #define vi vector<ll> #define mp make_pair #define vs vector<string> #define ppb pop_back #define endl '\n' #define asdf \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); #define r0 return 0; #define FORD(i, a, b) for (int i = (int)(a); i >= (int)(b); --i) #define FORE(it, c) \ for (__typeof((c).begin()) it = (c).begin(); it != (c).end(); ++it) #define inputoutput \ freopen("input.txt", "r", stdin); \ freopen("output.txt", "w", stdout); #define input freopen("input.txt", "r", stdin); #define Set(a, s) 4(a, s, sizeof(a)) #define FOR repi #define pii pair<int, int> #define REVERSE(v) reverse(ALL(v)) #define display(x) \ trav(a, x) cout << a << " "; \ cout << endl #define debug cerr << "bhau" << endl #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__) template <typename Arg1> void __f(const char *name, Arg1 &&arg1) { std::cerr << name << " : " << arg1 << endl; } template <typename Arg1, typename... Args> void __f(const char *names, Arg1 &&arg1, Args &&...args) { const char *comma = strchr(names + 1, ','); std::cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...); } // #define float long double ll max(ll a, ll b) { return (a > b) ? a : b; } int min(int a, int b) { return (a < b) ? a : b; } #define float double int solve() { int n; cin >> n; vector<float> p(n); inputarr(p, n); float dp[n + 1][n + 1]; dp[0][0] = 1; rep(1, n + 1) { dp[i][0] = dp[i - 1][0] * (1 - p[i - 1]); repi(j, 1, n + 1) { if (j > i) { dp[i][j] = 0; continue; } dp[i][j] = dp[i - 1][j] * (1 - p[i - 1]); dp[i][j] += dp[i - 1][j - 1] * p[i - 1]; } } // rep0(n+1){repi(j,0,n+1) cout<<dp[j][i]<<" ";cout<<endl;} int mi = n / 2; float ans = 0; for (int i = mi + 1; i <= n; i++) // cout<<dp[n][i]<<" ";// ans += dp[n][i]; cout << fixed << setprecision(10) << ans; r0 } signed main() { asdf inputoutput int t = 1; // cin>>t; while (t--) { solve(); } }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse2") /* |||||||||||||||||||||||||||||||||||||||||||||||| | ||| | |||| |||| | | | | | | | | | | | | | | | | | | | | | | | | ||||||| | | ||||||| ||| ||| ||||| | | | | | | | | | | | | | ||| | | | || |||| | | |||||||||||||||||||||||||||||||||||||||||||||||| */ using namespace std; // #include "testlib.h" #define ff first #define ss second #define mp make_pair #define all(v) v.begin(), v.end() #define int long long #define ll long long #define M 1000000007 #define inputarr(a, n) \ for (int i = 0; i < n; ++i) \ cin >> a[i] #define GCD(m, n) __gcd(m, n) #define LCM(m, n) m *(n / GCD(m, n)) #define mii map<ll, ll> #define msi map<string, ll> #define mis map<ll int, string> #define rep(a, b) for (ll i = a; i < b; i++) #define rep0(n) for (ll i = 0; i < n; i++) #define repi(i, a, b) for (ll i = a; i < b; i++) #define pb push_back #define vi vector<ll> #define mp make_pair #define vs vector<string> #define ppb pop_back #define endl '\n' #define asdf \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); #define r0 return 0; #define FORD(i, a, b) for (int i = (int)(a); i >= (int)(b); --i) #define FORE(it, c) \ for (__typeof((c).begin()) it = (c).begin(); it != (c).end(); ++it) #define inputoutput \ freopen("input.txt", "r", stdin); \ freopen("output.txt", "w", stdout); #define input freopen("input.txt", "r", stdin); #define Set(a, s) 4(a, s, sizeof(a)) #define FOR repi #define pii pair<int, int> #define REVERSE(v) reverse(ALL(v)) #define display(x) \ trav(a, x) cout << a << " "; \ cout << endl #define debug cerr << "bhau" << endl #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__) template <typename Arg1> void __f(const char *name, Arg1 &&arg1) { std::cerr << name << " : " << arg1 << endl; } template <typename Arg1, typename... Args> void __f(const char *names, Arg1 &&arg1, Args &&...args) { const char *comma = strchr(names + 1, ','); std::cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...); } // #define float long double ll max(ll a, ll b) { return (a > b) ? a : b; } int min(int a, int b) { return (a < b) ? a : b; } #define float double int solve() { int n; cin >> n; vector<float> p(n); inputarr(p, n); float dp[n + 1][n + 1]; dp[0][0] = 1; rep(1, n + 1) { dp[i][0] = dp[i - 1][0] * (1 - p[i - 1]); repi(j, 1, n + 1) { if (j > i) { dp[i][j] = 0; continue; } dp[i][j] = dp[i - 1][j] * (1 - p[i - 1]); dp[i][j] += dp[i - 1][j - 1] * p[i - 1]; } } // rep0(n+1){repi(j,0,n+1) cout<<dp[j][i]<<" ";cout<<endl;} int mi = n / 2; float ans = 0; for (int i = mi + 1; i <= n; i++) // cout<<dp[n][i]<<" ";// ans += dp[n][i]; cout << fixed << setprecision(10) << ans; r0 } signed main() { asdf // inputoutput int t = 1; // cin>>t; while (t--) { solve(); } }
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terminate called after throwing an instance of 'std::bad_alloc' what(): std::bad_alloc
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #define pr_double(x) cout << fixed << setprecision(10) << x; double dp[3001][3001]; double solve(vector<double> &ar, int i, int x) { if (x == 0) { return 1; } else if (i == 0) { return 0; } if (dp[i][x] > 0.9) { return dp[i][x]; } return dp[i][x] = ar[i] * solve(ar, i - 1, x - 1) + (1 - ar[i]) * solve(ar, i - 1, x); } int main() { int n; cin >> n; memset(dp, -1, sizeof dp); vector<double> ar(n + 1); for (int i = 1; i < n + 1; i++) { cin >> ar[i]; } pr_double(solve(ar, n, (n + 1) / 2)); }
#include <bits/stdc++.h> using namespace std; #define pr_double(x) cout << fixed << setprecision(10) << x; double dp[3001][3001]; double solve(vector<double> &ar, int i, int x) { if (x == 0) { return 1; } else if (i == 0) { return 0; } if (dp[i][x] > -0.9) { return dp[i][x]; } return dp[i][x] = ar[i] * solve(ar, i - 1, x - 1) + (1 - ar[i]) * solve(ar, i - 1, x); } int main() { int n; cin >> n; memset(dp, -1, sizeof dp); vector<double> ar(n + 1); for (int i = 1; i < n + 1; i++) { cin >> ar[i]; } pr_double(solve(ar, n, (n + 1) / 2)); }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> const int MAXN = 300 + 5; using namespace std; int n; long double dp[MAXN][MAXN], probability[MAXN]; int main() { cin >> n; for (int i = 1; i <= n; i++) cin >> probability[i]; dp[0][0] = 1; for (int i = 0; i < n; i++) { for (int j = 0; j <= i; j++) { dp[i + 1][j] += dp[i][j] * (1 - probability[i + 1]); dp[i + 1][j + 1] += dp[i][j] * probability[i + 1]; } } long double ans = 0; for (int j = n / 2 + 1; j <= n; j++) ans += dp[n][j]; cout << setprecision(10) << fixed << ans; return 0; }
#include <bits/stdc++.h> const int MAXN = 3000 + 5; using namespace std; int n; long double dp[MAXN][MAXN], probability[MAXN]; int main() { cin >> n; for (int i = 1; i <= n; i++) cin >> probability[i]; dp[0][0] = 1; for (int i = 0; i < n; i++) { for (int j = 0; j <= i; j++) { dp[i + 1][j] += dp[i][j] * (1 - probability[i + 1]); dp[i + 1][j + 1] += dp[i][j] * probability[i + 1]; } } long double ans = 0; for (int j = n / 2 + 1; j <= n; j++) ans += dp[n][j]; cout << setprecision(10) << fixed << ans; return 0; }
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p03168
Python
Time Limit Exceeded
N = int(input()) P = list(map(float, input().split())) dp = [0] * (N + 1) dp[0] = 1 for i in range(1, N + 1): tmp = dp dp = [0] * (N + 1) for j in range(N): if j < N: dp[j + 1] += tmp[j] * P[i - 1] dp[j] += tmp[j] * (1 - P[i - 1]) num = 0 for i in range(N // 2 + 1, N + 1): num += dp[i] print(num)
N = int(input()) P = list(map(float, input().split())) # dp = [[0] * (N + 1) for i in range(N + 1)] # dp[0][0] = 1.0 # for i in range(1, N + 1): # for j in range(N): # if j < N: # dp[i][j + 1] += dp[i - 1][j] * P[i - 1] # dp[i][j] += dp[i - 1][j] * (1 - P[i - 1]) # # num = 0 # for i in range(N // 2 + 1, N + 1): # num += dp[N][i] # # print(num) dp = [0] * (N + 1) dp[0] = 1 for i in range(1, N + 1): tmp = dp dp = [0] * (N + 1) for j in range(N): if j < N: dp[j + 1] += tmp[j] * P[i - 1] dp[j] += tmp[j] * (1 - P[i - 1]) num = 0 for i in range(N // 2 + 1, N + 1): num += dp[i] print(num)
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TLE
p03168
Python
Time Limit Exceeded
# -*- coding: utf-8 -*- # from collections import deque from sys import setrecursionlimit setrecursionlimit(1000000) # INF = float("inf") # d = deque() # ---Input---# n = int(input()) # n, k = map(int, input().split()) p = list(map(float, input().split())) p = [-1] + p memo = [[-1 for _ in [0] * (n + 1)] for _ in [0] * (n + 1)] memo[0][0] = 1 for i in range(len(p))[1:]: memo[0][i] = 0 memo[i][0] = memo[i - 1][0] * (1 - p[i]) memo[0][0] = 1 def dp(i, j): if memo[i][j] == -1: memo[i][j] = dp(i - 1, j) * (1 - p[i]) + dp(i - 1, j - 1) * p[i] return memo[i][j] ans = 0 tar = int(n / 2) + 1 for i in range(n + 1)[tar:]: ans += dp(n, i) print("{}".format(ans))
# -*- coding: utf-8 -*- # from collections import deque from sys import setrecursionlimit setrecursionlimit(1000000) # INF = float("inf") # d = deque() # ---Input---# n = int(input()) # n, k = map(int, input().split()) p = list(map(float, input().split())) p = [-1] + p memo = [[-1 for _ in [0] * (n + 1)] for _ in [0] * (n + 1)] memo[0][0] = 1 for i in range(len(p))[1:]: memo[0][i] = 0 memo[i][0] = memo[i - 1][0] * (1 - p[i]) memo[0][0] = 1 def dp(i, j): if memo[i][j] == -1: memo[i][j] = dp(i - 1, j) * (1 - p[i]) + dp(i - 1, j - 1) * p[i] return memo[i][j] ans = 0 tar = int(n / 2) + 1 for i in range(n + 1): dp(i, i) dp(i, n) for i in range(n + 1)[tar:]: ans += dp(n, i) print("{}".format(ans))
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p03168
C++
Runtime Error
#include "bits/stdc++.h" using namespace std; const int MOD = 1e9 + 7; const double EPS = 1e-11; const double PI = 2 * acos(0.0); using ll = long long; using ull = unsigned long long; #define input freopen("input.txt", "r", stdin) #define output freopen("output.txt", "w", stdout) #define fast_io \ ios_base::sync_with_stdio(0); \ cin.tie(nullptr); \ cout.tie(nullptr); #define pf printf #define si(x) scanf("%d", &x) #define sl(x) scanf("%lld", &x) #define sii(x, y) scanf("%d %d", &x, &y) #define sll(x, y) scanf("%lld %lld", &x, &y) #define pii pair<int, int> #define nl '\n' #define mp make_pair #define x first #define y second #define pb push_back #define ALL(v) v.begin(), v.end() #define uniq(a) a.erase(unique(a.begin(), a.end()), a.end()) #define out(x) cout << "#x = " << x << endl #define outt(x, y) cout << "# " << x << " " << y << endl #define mem(array, value) memset(array, value, sizeof(array)) const int MX = 1e3 + 2; double coin[MX]; double dp[MX][MX]; int n; double solve(int i, int head) { if (i == n) { if (head > n / 2) return 1; else return 0; } if (dp[i][head] != -1.0) return dp[i][head]; double a = (coin[i] * solve(i + 1, head + 1)) + ((1 - coin[i]) * solve(i + 1, head)); return dp[i][head] = a; } int main() { fast_io for (int i = 0; i < MX; i++) { for (int j = 0; j < MX; j++) { dp[i][j] = -1.0; } } // int n; cin >> n; for (int i = 0; i < n; i++) { cin >> coin[i]; } double ans = solve(0, 0); pf("%.10lf\n", ans); }
#include "bits/stdc++.h" using namespace std; const int MOD = 1e9 + 7; const double EPS = 1e-11; const double PI = 2 * acos(0.0); using ll = long long; using ull = unsigned long long; #define input freopen("input.txt", "r", stdin) #define output freopen("output.txt", "w", stdout) #define fast_io \ ios_base::sync_with_stdio(0); \ cin.tie(nullptr); \ cout.tie(nullptr); #define pf printf #define si(x) scanf("%d", &x) #define sl(x) scanf("%lld", &x) #define sii(x, y) scanf("%d %d", &x, &y) #define sll(x, y) scanf("%lld %lld", &x, &y) #define pii pair<int, int> #define nl '\n' #define mp make_pair #define x first #define y second #define pb push_back #define ALL(v) v.begin(), v.end() #define uniq(a) a.erase(unique(a.begin(), a.end()), a.end()) #define out(x) cout << "#x = " << x << endl #define outt(x, y) cout << "# " << x << " " << y << endl #define mem(array, value) memset(array, value, sizeof(array)) const int MX = 3e3 + 2; double coin[MX]; double dp[MX][MX]; int n; double solve(int i, int head) { if (i == n) { if (head > n / 2) return 1; else return 0; } if (dp[i][head] != -1.0) return dp[i][head]; double a = (coin[i] * solve(i + 1, head + 1)) + ((1 - coin[i]) * solve(i + 1, head)); return dp[i][head] = a; } int main() { fast_io for (int i = 0; i < MX; i++) { for (int j = 0; j < MX; j++) { dp[i][j] = -1.0; } } // int n; cin >> n; for (int i = 0; i < n; i++) { cin >> coin[i]; } double ans = solve(0, 0); pf("%.10lf\n", ans); }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define ll long long using namespace std; double dp[3001][3001]; double calc_prob(int n, vector<double> pH, ll HC, vector<vector<double>> &dp) { if (HC == 0) { return 1; } if (n < 0) { return 0; } if (dp[n][HC] > -0.9) { return dp[n][HC]; } double ans = pH[n] * calc_prob(n - 1, pH, HC - 1, dp) + (1 - pH[n]) * calc_prob(n - 1, pH, HC, dp); return dp[n][HC] = ans; } int main() { #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif ll n; cin >> n; vector<double> pH(n); for (int i = 0; i < n; i++) { double f; cin >> f; pH[i] = f; } // for (int i = 0; i < n; i++) // { // for (int j = 0; j < (n + 1) / 2; j++) // { // cout << dp[i][j] << " "; // } // cout << endl; // } vector<vector<double>> dp(n + 1, vector<double>((n + 1) / 2 + 1, -1)); cout << fixed << setprecision(10) << calc_prob(n - 1, pH, (n + 1) / 2, dp) << endl; return 0; }
#include <bits/stdc++.h> #define ll long long using namespace std; double dp[3001][3001]; double calc_prob(int n, vector<double> &pH, ll HC, vector<vector<double>> &dp) { if (HC == 0) { return 1; } if (n < 0) { return 0; } if (dp[n][HC] > -0.9) { return dp[n][HC]; } double ans = pH[n] * calc_prob(n - 1, pH, HC - 1, dp) + (1 - pH[n]) * calc_prob(n - 1, pH, HC, dp); return dp[n][HC] = ans; } int main() { #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif ll n; cin >> n; vector<double> pH(n); for (int i = 0; i < n; i++) { double f; cin >> f; pH[i] = f; } // for (int i = 0; i < n; i++) // { // for (int j = 0; j < (n + 1) / 2; j++) // { // cout << dp[i][j] << " "; // } // cout << endl; // } vector<vector<double>> dp(n + 1, vector<double>((n + 1) / 2 + 1, -1)); cout << fixed << setprecision(10) << calc_prob(n - 1, pH, (n + 1) / 2, dp) << endl; return 0; }
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TLE
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define ll long long using namespace std; double dp[3001][3001]; double calc_prob(int n, vector<double> pH, ll HC) { if (HC == 0) { return 1; } if (n < 0) { return 0; } if (dp[n][HC] > -0.9) { return dp[n][HC]; } double ans = pH[n] * calc_prob(n - 1, pH, HC - 1) + (1 - pH[n]) * calc_prob(n - 1, pH, HC); return dp[n][HC] = ans; } int main() { #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif ll n; cin >> n; vector<double> pH(n); for (int i = 0; i < n; i++) { double f; cin >> f; pH[i] = f; } // for (int i = 0; i < n; i++) // { // for (int j = 0; j < (n + 1) / 2; j++) // { // cout << dp[i][j] << " "; // } // cout << endl; // } memset(dp, -1, sizeof(dp)); cout << fixed << setprecision(10) << calc_prob(n - 1, pH, (n + 1) / 2); return 0; }
#include <bits/stdc++.h> #define ll long long using namespace std; double dp[3001][3001]; double calc_prob(int n, vector<double> &pH, ll HC) { if (HC == 0) { return 1; } if (n < 0) { return 0; } if (dp[n][HC] > -0.9) { return dp[n][HC]; } double ans = pH[n] * calc_prob(n - 1, pH, HC - 1) + (1 - pH[n]) * calc_prob(n - 1, pH, HC); return dp[n][HC] = ans; } int main() { #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif ll n; cin >> n; vector<double> pH(n); for (int i = 0; i < n; i++) { double f; cin >> f; pH[i] = f; } // for (int i = 0; i < n; i++) // { // for (int j = 0; j < (n + 1) / 2; j++) // { // cout << dp[i][j] << " "; // } // cout << endl; // } memset(dp, -1, sizeof(dp)); cout << fixed << setprecision(10) << calc_prob(n - 1, pH, (n + 1) / 2); return 0; }
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TLE
p03168
C++
Runtime Error
#include <bits/stdc++.h> #define ll long long #define ld long double #define pb push_back #define mp make_pair #define M 1000000007 using namespace std; ld dp[3001][3001]; ld f(vector<ld> &a, int i, int x) { if (x == 0) return 1; if (i == 0) return 0; if (dp[i][x] > -0.9) return dp[i][x]; return dp[i][x] = a[i] * f(a, i - 1, x - 1) + (1 - a[i]) * f(a, i - 1, x); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif int n; cin >> n; memset(dp, -1, sizeof(dp)); vector<ld> a(n + 1); for (int i = 1; i <= n; i++) cin >> a[i]; cout << fixed << setprecision(10) << f(a, n, (n + 1) / 2); return 0; }
#include <bits/stdc++.h> #define ll long long #define ld long double #define pb push_back #define mp make_pair #define M 1000000007 using namespace std; ld dp[3001][3001]; ld f(vector<ld> &a, int i, int x) { if (x == 0) return 1; if (i == 0) return 0; if (dp[i][x] > -0.9) return dp[i][x]; return dp[i][x] = a[i] * f(a, i - 1, x - 1) + (1 - a[i]) * f(a, i - 1, x); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); // #ifndef ONLINE_JUDGE // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); // #endif int n; cin >> n; memset(dp, -1, sizeof(dp)); vector<ld> a(n + 1); for (int i = 1; i <= n; i++) cin >> a[i]; cout << fixed << setprecision(10) << f(a, n, (n + 1) / 2); return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define ld long double #define all(x) x.begin(), x.end() #define fi first #define se second #define endl '\n' const int mod = 1e9 + 7, u = 1e3 + 5; ld dp[u][u]; signed main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; ld p[n + 1]; for (int i = 1; i <= n; i++) { cin >> p[i]; } dp[0][0] = 1; for (int i = 1; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1 - p[i]); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { dp[i][j] = (dp[i - 1][j - 1] * p[i] + dp[i - 1][j] * (1 - p[i])); } } ld ans = 0; for (int i = n / 2 + 1; i <= n; i++) { ans += dp[n][i]; } cout << fixed << setprecision(10) << ans; return 0; }
#include <bits/stdc++.h> using namespace std; #define ld long double #define all(x) x.begin(), x.end() #define fi first #define se second #define endl '\n' const int mod = 1e9 + 7, u = 3e3 + 5; ld dp[u][u]; signed main() { ios::sync_with_stdio(0); cin.tie(0); int n; cin >> n; ld p[n + 1]; for (int i = 1; i <= n; i++) { cin >> p[i]; } dp[0][0] = 1; for (int i = 1; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1 - p[i]); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { dp[i][j] = (dp[i - 1][j - 1] * p[i] + dp[i - 1][j] * (1 - p[i])); } } ld ans = 0; for (int i = n / 2 + 1; i <= n; i++) { ans += dp[n][i]; } cout << fixed << setprecision(10) << ans; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; #define ordered_set \ tree<int, null_type, less_equal<int>, rb_tree_tag, \ tree_order_statistics_node_update> using namespace std; #define ll long long #define pb push_back #define F first #define S second #define all(c) c.begin(), c.end() #define llv vector<ll> #define mp make_pair #define endl "\n" const int N = (int)1e5 + 10; const int M = (int)1000000007; int main() { // #ifndef ONLINE_JUDGE // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); // #endif ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ll n, i, j; cin >> n; double p[n + 1]; for (i = 1; i <= n; i++) { cin >> p[i]; } double dp[n + 1][n + 1]; fill(&dp[0][0], &dp[0][0] + sizeof(dp), 0.0); dp[0][0] = 1.0; for (i = 1; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1.0 - p[i]); for (j = 1; j <= i; j++) { dp[i][j] = p[i] * dp[i - 1][j - 1] + (1.0 - p[i]) * dp[i - 1][j]; } } double ans = 0.0; for (i = (n + 1) / 2; i <= n; i++) { ans += dp[n][i]; } cout << setprecision(10) << fixed << ans; return 0; }
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; #define ordered_set \ tree<int, null_type, less_equal<int>, rb_tree_tag, \ tree_order_statistics_node_update> using namespace std; #define ll long long #define pb push_back #define F first #define S second #define all(c) c.begin(), c.end() #define llv vector<ll> #define mp make_pair #define endl "\n" const int N = (int)1e5 + 10; const int M = (int)1000000007; int main() { // #ifndef ONLINE_JUDGE // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); // #endif ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ll n, i, j; cin >> n; double p[n + 1]; for (i = 1; i <= n; i++) { cin >> p[i]; } double dp[n + 1][n + 1]; for (i = 0; i <= n; i++) { for (j = 0; j <= n; j++) { dp[i][j] = 0.0; } } dp[0][0] = 1.0; for (i = 1; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1.0 - p[i]); for (j = 1; j <= i; j++) { dp[i][j] = p[i] * dp[i - 1][j - 1] + (1.0 - p[i]) * dp[i - 1][j]; } } double ans = 0.0; for (i = (n + 1) / 2; i <= n; i++) { ans += dp[n][i]; } cout << setprecision(10) << fixed << ans; return 0; }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; using ll = long long; const ll N = 3001, mod = 1e9 + 7; double p[N]; double dp[N][N]; int n; double dfs(int pos, int k) { if (pos == n + 1) { return k == 0 ? 1.0 : 0.0; } double &ret = dp[pos][k]; if (ret > 0) return ret; ret = 0.0; ret = p[pos] * dfs(pos + 1, k - 1); ret += (1.0 - p[pos]) * dfs(pos + 1, k); return ret; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 1; i <= n; i += 1) cin >> p[i]; for (int i = 0; i <= n; i += 1) for (int j = 0; j <= n; j += 1) dp[i][j] = -1.0; double ans = 0.0; for (int i = n / 2 + 1; i <= n; i += 1) ans += dfs(1, i); cout << setprecision(10) << fixed << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const ll N = 3001, mod = 1e9 + 7; double p[N]; double dp[N][N]; int n; double dfs(int pos, int k) { if (pos == n + 1) { return k == 0 ? 1.0 : 0.0; } double &ret = dp[pos][k]; if (ret != -1.0) return ret; ret = 0.0; ret = p[pos] * dfs(pos + 1, k - 1); ret += (1.0 - p[pos]) * dfs(pos + 1, k); return ret; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 1; i <= n; i += 1) cin >> p[i]; for (int i = 0; i <= n; i += 1) for (int j = 0; j <= n; j += 1) dp[i][j] = -1.0; double ans = 0.0; for (int i = n / 2 + 1; i <= n; i += 1) ans += dfs(1, i); cout << setprecision(10) << fixed << ans << '\n'; return 0; }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < n; ++i) #define ALL(c) (c).begin(), (c).end() #define SUM(x) std::accumulate(ALL(x), 0LL) #define MIN(v) *std::min_element(v.begin(), v.end()) #define MAX(v) *std::max_element(v.begin(), v.end()) #define EXIST(v, x) (std::find(v.begin(), v.end(), x) != v.end()) using namespace std; using ll = long long; 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; } template <class T> inline void dump(vector<T> v) { for (auto &x : v) cerr << x << " "; cerr << endl; } template <class T> inline void dump(vector<pair<T, T>> v) { for (auto &p : v) cerr << p.first << " " << p.second << endl; } template <class T> inline void dump(vector<vector<T>> vv) { for (auto &v : vv) { for (auto &x : v) cerr << x << " "; cerr << endl; } } constexpr int INF = 1e9 + 5; constexpr long long INFLL = 1LL << 60; constexpr double eps = (1e-9); int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; vector<double> p(n + 1, 0); rep(i, n) cin >> p[i + 1]; vector<vector<double>> dp( n + 1, vector<double>(n + 1, 0)); // i 枚投げて表が j 枚出る確率 dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { if (j > 0) dp[i][j] = dp[i - 1][j] * (1 - p[i]) + dp[i - 1][j - 1] * p[i]; else dp[i][j] = dp[i - 1][j] * (1 - p[i]); } } double ans = 0; for (int j = n / 2 + 1; j <= n; j++) ans += dp[n][j]; dump(dp); printf("%.10f\n", ans); return 0; }
#include <bits/stdc++.h> #define rep(i, n) for (int i = 0; i < n; ++i) #define ALL(c) (c).begin(), (c).end() #define SUM(x) std::accumulate(ALL(x), 0LL) #define MIN(v) *std::min_element(v.begin(), v.end()) #define MAX(v) *std::max_element(v.begin(), v.end()) #define EXIST(v, x) (std::find(v.begin(), v.end(), x) != v.end()) using namespace std; using ll = long long; 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; } template <class T> inline void dump(vector<T> v) { for (auto &x : v) cerr << x << " "; cerr << endl; } template <class T> inline void dump(vector<pair<T, T>> v) { for (auto &p : v) cerr << p.first << " " << p.second << endl; } template <class T> inline void dump(vector<vector<T>> vv) { for (auto &v : vv) { for (auto &x : v) cerr << x << " "; cerr << endl; } } constexpr int INF = 1e9 + 5; constexpr long long INFLL = 1LL << 60; constexpr double eps = (1e-9); int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; vector<double> p(n + 1, 0); rep(i, n) cin >> p[i + 1]; vector<vector<double>> dp( n + 1, vector<double>(n + 1, 0)); // i 枚投げて表が j 枚出る確率 dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { if (j > 0) dp[i][j] = dp[i - 1][j] * (1 - p[i]) + dp[i - 1][j - 1] * p[i]; else dp[i][j] = dp[i - 1][j] * (1 - p[i]); } } double ans = 0; for (int j = n / 2 + 1; j <= n; j++) ans += dp[n][j]; printf("%.10f\n", ans); return 0; }
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p03168
C++
Runtime Error
#include <algorithm> #include <bitset> #include <ctype.h> #include <deque> #include <iomanip> #include <iostream> #include <iterator> #include <limits> #include <map> #include <math.h> #include <queue> #include <set> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> #define pi 3.1415926535 #include <chrono> #define MOD 1000000007 #define INF 999999999999999999 #define pb push_back #define ff first #define ss second #define mt make_tuple #define ll long long #define fast \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define f0 get<0>(temp) #define f1 get<1>(temp) #define f2 get<2>(temp) using namespace std; ll n; ll ncr(ll n, ll r) { ll i, ans = 1, k = 0; if (r == 0) return 1; else if (n < r) return 0; for (i = n; i >= n - r + 1; i--) { ans *= i; ans /= n - i + 1; } return ans; } void max_heapify(int a[100], int i) { int l, r, largest = i; l = 2 * i + 1; r = 2 * i + 2; if (l < n && a[l] > a[i]) largest = l; if (r < n && a[r] > a[l]) largest = r; if (largest != i) { int k; k = a[i]; a[i] = a[largest]; a[largest] = k; max_heapify(a, largest); } } int power(ll x, ll y, ll p) { int res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } bool square(ll n) { double x; x = sqrt(n); if (x == floor(x)) return true; else return false; } bool prime(ll n) { ll i; for (i = 2; i * i <= n; i++) { if (n % i == 0) return false; } return true; } ll modi(ll a, ll m) { return power(a, m - 2, m); } void kmp(string s, ll p[]) { int n = (int)s.length(); p[0] = 0; for (int i = 1; i < n; i++) { int j = p[i - 1]; while (j > 0 && s[i] != s[j]) j = p[j - 1]; if (s[i] == s[j]) j++; p[i] = j; } } void zfunc(string s, ll z[]) { ll n = (ll)s.length(); z[0] = 0; for (ll i = 1, l = 0, r = 0; i < n; ++i) { if (i <= r) z[i] = min(r - i + 1, z[i - l]); while (i + z[i] < n && s[z[i]] == s[i + z[i]]) ++z[i]; if (i + z[i] - 1 > r) l = i, r = i + z[i] - 1; } } struct pair_hash { size_t operator()(const pair<int, int> &p) const noexcept { return hash<ll>()((((ll)p.first) << 32) | ((ll)p.second)); } }; bool palin(string s) { ll i, n; n = s.length(); for (i = 0; i <= n / 2; i++) { if (s[i] != s[n - i - 1]) { return false; } } return true; } ll sum(ll n) { ll i; i = n; ll sum = 0; while (i > 0) { sum += i % 10; i = i / 10; } return sum; } ll nCr(ll n, ll r, ll p, ll fac[]) { if (r == 0) return 1; fac[0] = 1; for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % p; return (fac[n] * modi(fac[r], p) % p * modi(fac[n - r], p) % p) % p; } ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } void bfs(vector<ll> &ans, ll k) { queue<ll> q; while (!q.empty()) { ll temp = q.front(); } } void solve(ll l, ll r) { if (l >= r) { return; } if ((r - l) % 2 == 1) { ll start = (r + l) / 2 + 1; ll k = -1, j = 1; while (start != l) { printf("%lld %lld\n", start, start + k * j); // cout <<start <<" "<< start + k * j << endl; if (start + k * j == l) { break; } start += k * j; j++; k *= -1; } } else { ll start = (r + l) / 2; ll k = 1, j = 1; while (start != l) { printf("%lld %lld\n", start, start + k * j); // cout << start << " " << start + k * j << endl; if (start + k * j == l) { break; } start += k * j; j++; k *= -1; } } } void dfs(ll start, vector<ll> adj[], bool visited[], ll dp[], ll &maxi) { visited[start] = true; for (auto u : adj[start]) { if (!visited[u]) { visited[u] = true; dp[u] = max(dp[u], dp[start] + 1); dfs(u, adj, visited, dp, maxi); maxi = max(maxi, dp[u]); } } } float fab(float x) { if (x < 0) { return -x; } return x; } int main() { // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); ll T = 1, i, j; // cin >> T; while (T--) { ll n; cin >> n; vector<double> v(n); ll maxtails = (n - 1) / 2; for (i = 0; i < n; i++) { cin >> v[i]; } double dp[100][100]; for (i = 0; i <= n; i++) { for (j = 0; j <= maxtails; j++) { dp[i][j] = 0; } } for (i = 0; i <= maxtails; i++) { dp[0][i] = 1.0; } dp[1][0] = v[0]; dp[1][1] = 1 - v[0]; for (i = 1; i < n; i++) { for (j = 0; j <= maxtails; j++) { dp[i + 1][j] += dp[i][j] * v[i]; dp[i + 1][j + 1] += dp[i][j] * (1 - v[i]); } } double ans = 0; // for (i = 1; i <= n; i++) { // for (j = 0; j <= maxtails; j++) { // cout << dp[i][j] << " "; // } // cout << endl; // } for (i = 0; i <= maxtails; i++) { ans += dp[n][i]; // cout << dp[n][i] << endl; } cout << fixed << setprecision(10) << ans << endl; } return 0; }
#include <algorithm> #include <bitset> #include <ctype.h> #include <deque> #include <iomanip> #include <iostream> #include <iterator> #include <limits> #include <map> #include <math.h> #include <queue> #include <set> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> #define pi 3.1415926535 #include <chrono> #define MOD 1000000007 #define INF 999999999999999999 #define pb push_back #define ff first #define ss second #define mt make_tuple #define ll long long #define fast \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define f0 get<0>(temp) #define f1 get<1>(temp) #define f2 get<2>(temp) using namespace std; ll n; ll ncr(ll n, ll r) { ll i, ans = 1, k = 0; if (r == 0) return 1; else if (n < r) return 0; for (i = n; i >= n - r + 1; i--) { ans *= i; ans /= n - i + 1; } return ans; } void max_heapify(int a[100], int i) { int l, r, largest = i; l = 2 * i + 1; r = 2 * i + 2; if (l < n && a[l] > a[i]) largest = l; if (r < n && a[r] > a[l]) largest = r; if (largest != i) { int k; k = a[i]; a[i] = a[largest]; a[largest] = k; max_heapify(a, largest); } } int power(ll x, ll y, ll p) { int res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } bool square(ll n) { double x; x = sqrt(n); if (x == floor(x)) return true; else return false; } bool prime(ll n) { ll i; for (i = 2; i * i <= n; i++) { if (n % i == 0) return false; } return true; } ll modi(ll a, ll m) { return power(a, m - 2, m); } void kmp(string s, ll p[]) { int n = (int)s.length(); p[0] = 0; for (int i = 1; i < n; i++) { int j = p[i - 1]; while (j > 0 && s[i] != s[j]) j = p[j - 1]; if (s[i] == s[j]) j++; p[i] = j; } } void zfunc(string s, ll z[]) { ll n = (ll)s.length(); z[0] = 0; for (ll i = 1, l = 0, r = 0; i < n; ++i) { if (i <= r) z[i] = min(r - i + 1, z[i - l]); while (i + z[i] < n && s[z[i]] == s[i + z[i]]) ++z[i]; if (i + z[i] - 1 > r) l = i, r = i + z[i] - 1; } } struct pair_hash { size_t operator()(const pair<int, int> &p) const noexcept { return hash<ll>()((((ll)p.first) << 32) | ((ll)p.second)); } }; bool palin(string s) { ll i, n; n = s.length(); for (i = 0; i <= n / 2; i++) { if (s[i] != s[n - i - 1]) { return false; } } return true; } ll sum(ll n) { ll i; i = n; ll sum = 0; while (i > 0) { sum += i % 10; i = i / 10; } return sum; } ll nCr(ll n, ll r, ll p, ll fac[]) { if (r == 0) return 1; fac[0] = 1; for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % p; return (fac[n] * modi(fac[r], p) % p * modi(fac[n - r], p) % p) % p; } ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } void bfs(vector<ll> &ans, ll k) { queue<ll> q; while (!q.empty()) { ll temp = q.front(); } } void solve(ll l, ll r) { if (l >= r) { return; } if ((r - l) % 2 == 1) { ll start = (r + l) / 2 + 1; ll k = -1, j = 1; while (start != l) { printf("%lld %lld\n", start, start + k * j); // cout <<start <<" "<< start + k * j << endl; if (start + k * j == l) { break; } start += k * j; j++; k *= -1; } } else { ll start = (r + l) / 2; ll k = 1, j = 1; while (start != l) { printf("%lld %lld\n", start, start + k * j); // cout << start << " " << start + k * j << endl; if (start + k * j == l) { break; } start += k * j; j++; k *= -1; } } } void dfs(ll start, vector<ll> adj[], bool visited[], ll dp[], ll &maxi) { visited[start] = true; for (auto u : adj[start]) { if (!visited[u]) { visited[u] = true; dp[u] = max(dp[u], dp[start] + 1); dfs(u, adj, visited, dp, maxi); maxi = max(maxi, dp[u]); } } } float fab(float x) { if (x < 0) { return -x; } return x; } int main() { // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); ll T = 1, i, j; // cin >> T; while (T--) { ll n; cin >> n; vector<double> v(n); ll maxtails = (n - 1) / 2; for (i = 0; i < n; i++) { cin >> v[i]; } double dp[3000][3000]; for (i = 0; i <= n; i++) { for (j = 0; j <= maxtails; j++) { dp[i][j] = 0; } } for (i = 0; i <= maxtails; i++) { dp[0][i] = 1.0; } dp[1][0] = v[0]; dp[1][1] = 1 - v[0]; for (i = 1; i < n; i++) { for (j = 0; j <= maxtails; j++) { dp[i + 1][j] += dp[i][j] * v[i]; dp[i + 1][j + 1] += dp[i][j] * (1 - v[i]); } } double ans = 0; // for (i = 1; i <= n; i++) { // for (j = 0; j <= maxtails; j++) { // cout << dp[i][j] << " "; // } // cout << endl; // } for (i = 0; i <= maxtails; i++) { ans += dp[n][i]; // cout << dp[n][i] << endl; } cout << fixed << setprecision(10) << ans << endl; } return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> #define ll long long #define ld long double #define mk make_pair #define fi first #define se second #define vll vector<ll> #define pii pair<ll, ll> #define vvll vector<vector<ll>> #define pb push_back #define sz(v) (v).size() #define inf 1e18 #define md 1000000007 #define all(v) (v).begin(), (v).end() #define rep(i, a, b) for (ll i = a; i < b; ++i) #define repi(i, a, b) for (ll i = a; i >= b; --i) #define tel(a) \ { cout << a << "\n"; } #define tell(a, b) \ { cout << a << " | " << b << "\n"; } #define telll(a, b, c) \ { cout << a << " | " << b << " | " << c << "\n"; } #define teln(v, n) \ { \ cout << "v- "; \ rep(i, 0, n) cout << v[i] << " "; \ cout << "\n"; \ } #define IOS \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); using namespace std; #define TRACE #ifdef TRACE #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__) template <typename Arg1> void __f(const char *name, Arg1 &&arg1) { cerr << name << " : " << arg1 << std::endl; } template <typename Arg1, typename... Args> void __f(const char *names, Arg1 &&arg1, Args &&...args) { const char *comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...); } #else #define trace(...) #endif #define M 110 #define N 3010 ll n; ld dp[N][N]; ld p[N]; ld f(ll pos, ll heads) { if (heads < 0) return 0.00; if (pos < 0) { if (!heads) return (ld)1.00; return 0.00; } if (dp[pos][heads] != -1.00) return dp[pos][heads]; ld other = (ld)1.00; other -= p[pos]; ld ans = f(pos - 1, heads - 1) * (p[pos]) + f(pos - 1, heads) * other; // trace(pos,heads); return dp[pos][heads] = ans; } int main() { IOS; freopen("inp.txt", "r", stdin); freopen("out.txt", "w", stdout); rep(i, 0, N) rep(j, 0, N) dp[i][j] = -1.00; cin >> n; rep(i, 0, n) cin >> p[i]; ld ans = (ld)0.00; rep(i, n / 2 + 1, n + 1) ans += f(n - 1, i); cout << setprecision(50) << ans; return 0; }
#include <bits/stdc++.h> // #include <ext/pb_ds/assoc_container.hpp> // #include <ext/pb_ds/tree_policy.hpp> #define ll long long #define ld long double #define mk make_pair #define fi first #define se second #define vll vector<ll> #define pii pair<ll, ll> #define vvll vector<vector<ll>> #define pb push_back #define sz(v) (v).size() #define inf 1e18 #define md 1000000007 #define all(v) (v).begin(), (v).end() #define rep(i, a, b) for (ll i = a; i < b; ++i) #define repi(i, a, b) for (ll i = a; i >= b; --i) #define tel(a) \ { cout << a << "\n"; } #define tell(a, b) \ { cout << a << " | " << b << "\n"; } #define telll(a, b, c) \ { cout << a << " | " << b << " | " << c << "\n"; } #define teln(v, n) \ { \ cout << "v- "; \ rep(i, 0, n) cout << v[i] << " "; \ cout << "\n"; \ } #define IOS \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); using namespace std; #define TRACE #ifdef TRACE #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__) template <typename Arg1> void __f(const char *name, Arg1 &&arg1) { cerr << name << " : " << arg1 << std::endl; } template <typename Arg1, typename... Args> void __f(const char *names, Arg1 &&arg1, Args &&...args) { const char *comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " : " << arg1 << " | "; __f(comma + 1, args...); } #else #define trace(...) #endif #define M 110 #define N 3010 ll n; ld dp[N][N]; ld p[N]; ld f(ll pos, ll heads) { if (heads < 0) return 0.00; if (pos < 0) { if (!heads) return (ld)1.00; return 0.00; } if (dp[pos][heads] != -1.00) return dp[pos][heads]; ld other = (ld)1.00; other -= p[pos]; ld ans = f(pos - 1, heads - 1) * (p[pos]) + f(pos - 1, heads) * other; // trace(pos,heads); return dp[pos][heads] = ans; } int main() { IOS; if (fopen("input.txt", "r")) freopen("inp.txt", "r", stdin), freopen("out.txt", "w", stdout); rep(i, 0, N) rep(j, 0, N) dp[i][j] = -1.00; cin >> n; rep(i, 0, n) cin >> p[i]; ld ans = (ld)0.00; rep(i, n / 2 + 1, n + 1) ans += f(n - 1, i); cout << setprecision(50) << ans; return 0; }
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-11
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 5; int n; double dp[N][N]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; dp[0][0] = 1; for (int i = 1; i <= n; ++i) { double p; cin >> p; for (int j = 0; j <= i; ++j) { int k = i - j; dp[j][k] = dp[j - 1][k] * p + dp[j][k - 1] * (1 - p); } } double ans = 0; for (int i = 0; i <= n; ++i) if (n - i < i) ans += dp[i][n - i]; cout << fixed << setprecision(10) << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 5; int n; double dp[N][N]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n; dp[0][0] = 1; for (int i = 1; i <= n; ++i) { double p; cin >> p; for (int j = 0; j <= i; ++j) { int k = i - j; if (j) dp[j][k] += dp[j - 1][k] * p; if (k) dp[j][k] += dp[j][k - 1] * (1 - p); } } double ans = 0; for (int i = 0; i <= n; ++i) if (n - i < i) ans += dp[i][n - i]; cout << fixed << setprecision(10) << ans; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; using namespace std; #define ll long long #define MOD 1000000007 double probs[3000]; double recur(int i, int n, int heads, int tails, double sa) { if (i == n) { if (heads > tails) return sa; else return 0; } double a = recur(i + 1, n, heads + 1, tails, (double)sa * probs[i]); double b = recur(i + 1, n, heads, tails + 1, (double)sa * (1 - probs[i])); return a + b; } int main() { ll n; cin >> n; for (int i = 0; i < n; i++) cin >> probs[i]; double dp[n + 1][n + 1]; memset(dp, 0, sizeof(dp)); dp[0][0] = 1; for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { if (i == 0 && j == 0) dp[i][j] = 1; if (j > i) dp[i][j] = 0; if (j - 1 >= 0) dp[i][j] += dp[i][j - 1] * (probs[i + j - 1]); if (i - 1 >= 0) dp[i][j] += dp[i - 1][j] * (1 - probs[i + j - 1]); } } double ans = 0; for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { if ((i + j == n) && (j > i)) ans += dp[i][j]; } } cout << setprecision(10) << ans << endl; }
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; using namespace std; #define ll long long #define MOD 1000000007 double probs[3000]; double recur(int i, int n, int heads, int tails, double sa) { if (i == n) { if (heads > tails) return sa; else return 0; } double a = recur(i + 1, n, heads + 1, tails, (double)sa * probs[i]); double b = recur(i + 1, n, heads, tails + 1, (double)sa * (1 - probs[i])); return a + b; } int main() { ll n; cin >> n; for (int i = 0; i < n; i++) cin >> probs[i]; double dp[n + 1][n + 1]; memset(dp, 0, sizeof(dp)); dp[0][0] = 1; for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { if (i == 0 && j == 0) dp[i][j] = 1; if (i + j > n) break; if (j > i) dp[i][j] = 0; if (j - 1 >= 0) dp[i][j] += dp[i][j - 1] * (probs[i + j - 1]); if (i - 1 >= 0) dp[i][j] += dp[i - 1][j] * (1 - probs[i + j - 1]); } } double ans = 0; for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { if ((i + j == n) && (j > i)) ans += dp[i][j]; } } cout << setprecision(10) << ans << endl; }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define ll long long int #define N 100000 #define f(i, a, b) for (ll i = (ll)a; i <= (ll)b; i++) #define rf(i, a, b) for (ll i = (ll)a; i >= (ll)b; i--) #define po pop_back #define pb push_back #define lb lower_bound #define fi first #define se second #define debug(x) cout << #x << " = " << x << endl #define ub upper_bound #define ibs ios_base::sync_with_stdio(false) #define cti cin.tie(0) #define all(x) x.begin(), x.end() #define PI 3.14159265 #define cot cout.tie(0) using namespace std; /** * @author :: Sawlani * */ ll n; double p[3000]; double dp[3000][3000]; double rec(ll i, ll head) { if (i > n && (head > (n / 2))) return 1; else if (i > n) return 0; if (dp[i][head] > -1) return dp[i][head]; return p[i] * rec(i + 1, head + 1) + (1.0 - p[i]) * rec(i + 1, head); } int main() { cin >> n; cout << fixed << setprecision(10); memset(dp, -1, sizeof(dp)); f(i, 1, n) cin >> p[i]; cout << rec(1, 0); }
#include <bits/stdc++.h> #define ll long long int #define N 100000 #define f(i, a, b) for (ll i = (ll)a; i <= (ll)b; i++) #define rf(i, a, b) for (ll i = (ll)a; i >= (ll)b; i--) #define po pop_back #define pb push_back #define lb lower_bound #define fi first #define se second #define debug(x) cout << #x << " = " << x << endl #define ub upper_bound #define ibs ios_base::sync_with_stdio(false) #define cti cin.tie(0) #define all(x) x.begin(), x.end() #define PI 3.14159265 #define cot cout.tie(0) using namespace std; /** * @author :: Sawlani * */ ll n; double p[3000]; double dp[3000][3000]; double rec(ll i, ll head) { if (i > n && (head > (n / 2))) return 1; else if (i > n) return 0; if (dp[i][head] > -1) return dp[i][head]; return dp[i][head] = p[i] * rec(i + 1, head + 1) + (1.0 - p[i]) * rec(i + 1, head); } int main() { cin >> n; cout << fixed << setprecision(10); memset(dp, -1, sizeof(dp)); f(i, 1, n) cin >> p[i]; cout << rec(1, 0); }
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TLE
p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; void func(vector<double> &p, double &sum, int n, int i, double mult) { int sz = p.size(); if (i == sz) { if (n >= ceil(double(sz) / 2.0)) { sum += mult; } return; } func(p, sum, n + 1, i + 1, mult * p[i]); func(p, sum, n, i + 1, mult * (1 - p[i])); } int main() { int n; cin >> n; vector<double> p; for (int i = 0; i < n; i++) { double x; cin >> x; p.push_back(x); } double sum = 0.0; func(p, sum, 0, 0, 1); cout.precision(16); cout << sum << endl; }
#include <bits/stdc++.h> using namespace std; void func(vector<double> &p, double &sum, int n, int i, double mult) { int sz = p.size(); if (i == sz) { if (n >= ceil(double(sz) / 2.0)) { sum += mult; } return; } func(p, sum, n + 1, i + 1, mult * p[i]); func(p, sum, n, i + 1, mult * (1 - p[i])); } int main() { int n; cin >> n; vector<double> p; for (int i = 0; i < n; i++) { double x; cin >> x; p.push_back(x); } double sum = 0.0; // func(p,sum,0,0,1); double dp[n + 1][n + 1]; for (int i = 0; i < n + 1; i++) { for (int j = 0; j < n + 1; j++) { dp[i][j] = 0; } // dp[0][i]=0; } dp[0][0] = 1.0; for (int i = 1; i < n + 1; i++) { for (int j = 0; j <= i; j++) { if (j == 0) { dp[i][j] = dp[i - 1][j] * (1.0 - p[i - 1]); } else { dp[i][j] = dp[i - 1][j] * (1.0 - p[i - 1]) + dp[i - 1][j - 1] * p[i - 1]; } } } for (int i = ceil(double(n) / 2.0); i < n + 1; i++) { sum += dp[n][i]; } cout.precision(16); cout << sum << endl; }
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TLE
p03168
C++
Runtime Error
#include <cstdio> #include <iomanip> #include <iostream> using namespace std; const int N = 3e3 + 3; int n; double p[N]; double dp[N][2 * N]; int main() { // freopen("input.inp", "r", stdin); ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 1; i <= n; ++i) cin >> p[i]; dp[1][1 + N] = p[1]; dp[1][-1 + N] = 1 - p[1]; for (int i = 1; i < N; ++i) for (int j = -n; j <= n; ++j) if (dp[i][j + N] != 0) { if (j + 1 <= n) dp[i + 1][j + 1 + N] += dp[i][j + N] * p[i + 1]; if (j - 1 >= -n) dp[i + 1][j - 1 + N] += dp[i][j + N] * (1 - p[i + 1]); } double ans = 0; for (int i = 1; i <= n; ++i) ans += dp[n][i + N]; cout << fixed << setprecision(10) << ans; return 0; }
#include <cstdio> #include <iomanip> #include <iostream> using namespace std; const int N = 3e3 + 3; int n; double p[N]; double dp[N][2 * N]; int main() { // freopen("input.inp", "r", stdin); ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int i = 1; i <= n; ++i) cin >> p[i]; dp[1][1 + N] = p[1]; dp[1][-1 + N] = 1 - p[1]; for (int i = 1; i < n; ++i) for (int j = -n; j <= n; ++j) if (dp[i][j + N] != 0) { if (j + 1 <= n) dp[i + 1][j + 1 + N] += dp[i][j + N] * p[i + 1]; if (j - 1 >= -n) dp[i + 1][j - 1 + N] += dp[i][j + N] * (1 - p[i + 1]); } double ans = 0; for (int i = 1; i <= n; ++i) ans += dp[n][i + N]; cout << fixed << setprecision(10) << ans; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rep1(i, n) for (ll i = 1; i < (ll)(n); i++) #define INF 10000000000 #define MOD 1000000007 using ll = long long; using pint = pair<int, int>; int main() { int N; cin >> N; vector<double> p(N); rep(i, N) cin >> p[i]; vector<vector<double>> dp(N + 1, vector<double>(N + 1, 0.0)); dp[0][0] = 1.0; rep(n, N) { rep(j, n + 1) { dp[n + 1][j + 1] += dp[n][j] * p[n]; dp[n + 1][j] += dp[n][j] * (1 - p[n]); } } double res = 0.0; for (int i = N / 2 + 1; i++; i <= N) res += dp[N][i]; cout << fixed << setprecision(10) << res << endl; }
#include <bits/stdc++.h> using namespace std; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rep1(i, n) for (ll i = 1; i < (ll)(n); i++) #define INF 10000000000 #define MOD 1000000007 using ll = long long; using pint = pair<int, int>; int main() { int N; cin >> N; vector<double> p(N); rep(i, N) cin >> p[i]; vector<vector<double>> dp(N + 1, vector<double>(N + 1, 0.0)); dp[0][0] = 1.0; rep(n, N) { rep(j, n + 1) { dp[n + 1][j + 1] += dp[n][j] * p[n]; dp[n + 1][j] += dp[n][j] * (1 - p[n]); } } double res = 0.0; for (int i = N / 2 + 1; i <= N; i++) res += dp[N][i]; cout << fixed << setprecision(10) << res << endl; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int MAX = 2e3 + 7; double a[MAX], dp[MAX][MAX]; int main() { ios_base::sync_with_stdio(false); cin.tie(0), cout.tie(0); int n; cin >> n; for (int i = 1; i <= n; ++i) cin >> a[i]; dp[0][0] = 1.; for (int i = 1; i <= n; ++i) for (int j = 0; j <= i; ++j) if (j > 0) dp[i][j] = dp[i - 1][j] * (1. - a[i]) + dp[i - 1][j - 1] * a[i]; else dp[i][j] = dp[i - 1][j] * (1. - a[i]); double ans = 0.; for (int i = n / 2 + 1; i <= n; ++i) ans += dp[n][i]; cout << fixed << setprecision(11) << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int MAX = 3e3 + 7; double a[MAX], dp[MAX][MAX]; int main() { ios_base::sync_with_stdio(false); cin.tie(0), cout.tie(0); int n; cin >> n; for (int i = 1; i <= n; ++i) cin >> a[i]; dp[0][0] = 1.; for (int i = 1; i <= n; ++i) for (int j = 0; j <= i; ++j) if (j > 0) dp[i][j] = dp[i - 1][j] * (1. - a[i]) + dp[i - 1][j - 1] * a[i]; else dp[i][j] = dp[i - 1][j] * (1. - a[i]); double ans = 0.; for (int i = n / 2 + 1; i <= n; ++i) ans += dp[n][i]; cout << fixed << setprecision(11) << ans << '\n'; return 0; }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #define d(x) cerr << #x ":" << x << endl; #define dd(x, y) cerr << "(" #x "," #y "):(" << x << "," << y << ")" << endl #define rep(i, n) for (int i = (int)(0); i < (int)(n); i++) #define repp(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define all(v) v.begin(), v.end() #define dump(v) \ cerr << #v ":[ "; \ for (auto macro_vi : v) { \ cerr << macro_vi << " "; \ } \ cerr << "]" << endl; #define ddump(v) \ cerr << #v ":" << endl; \ for (auto macro_row : v) { \ cerr << "["; \ for (auto macro__vi : macro_row) { \ cerr << macro__vi << " "; \ } \ cerr << "]" << endl; \ } using lint = long long; const int INF = 1e9; const lint LINF = 1e18; const lint MOD = 1e9 + 7; const double EPS = 1e-10; int main() { int N; cin >> N; vector<long double> p(N); rep(i, N) cin >> p[i]; // 状態 (i,j) : i 枚コインを投げて,j 枚 表面がでた状態 // per(i,j) : 状態(i,j) となる確率 vector<vector<long double>> per(N + 1, vector<long double>(N + 1, 0)); ddump(per); per[0][0] = 1; for (int i = 1; i <= N; i++) { for (int j = 0; j <= N; j++) { if (0 <= j - 1) per[i][j] += per[i - 1][j - 1] * p[i - 1]; per[i][j] += per[i - 1][j] * (1 - p[i - 1]); } } // ddump(per); long double ans = 0; for (int i = 0; i <= N; i++) { if (i > N / 2) ans += per[N][i]; } cout << setprecision(10) << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define d(x) cerr << #x ":" << x << endl; #define dd(x, y) cerr << "(" #x "," #y "):(" << x << "," << y << ")" << endl #define rep(i, n) for (int i = (int)(0); i < (int)(n); i++) #define repp(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define all(v) v.begin(), v.end() #define dump(v) \ cerr << #v ":[ "; \ for (auto macro_vi : v) { \ cerr << macro_vi << " "; \ } \ cerr << "]" << endl; #define ddump(v) \ cerr << #v ":" << endl; \ for (auto macro_row : v) { \ cerr << "["; \ for (auto macro__vi : macro_row) { \ cerr << macro__vi << " "; \ } \ cerr << "]" << endl; \ } using lint = long long; const int INF = 1e9; const lint LINF = 1e18; const lint MOD = 1e9 + 7; const double EPS = 1e-10; int main() { int N; cin >> N; vector<long double> p(N); rep(i, N) cin >> p[i]; // 状態 (i,j) : i 枚コインを投げて,j 枚 表面がでた状態 // per(i,j) : 状態(i,j) となる確率 vector<vector<long double>> per(N + 1, vector<long double>(N + 1, 0)); // ddump(per); per[0][0] = 1; for (int i = 1; i <= N; i++) { for (int j = 0; j <= N; j++) { if (0 <= j - 1) per[i][j] += per[i - 1][j - 1] * p[i - 1]; per[i][j] += per[i - 1][j] * (1 - p[i - 1]); } } // ddump(per); long double ans = 0; for (int i = 0; i <= N; i++) { if (i > N / 2) ans += per[N][i]; } cout << setprecision(10) << ans << endl; return 0; }
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p03168
C++
Runtime Error
#include "bits/stdc++.h" #pragma GCC optimize "03" using namespace std; #define int long long int #define pb push_back #define pii pair<int, int> #define fi first #define se second #define rep(i, a, b) for (int i = a; i < b; ++i) #define dbg(x) \ { cerr << "> " << #x << ": " << x << endl; } #define dbg2(x, y) \ { cerr << "> " << #x << ": " << x << " , " << #y << ": " << y << endl; } #define dbg3(x, y, z) \ { \ cerr << "> " << #x << ": " << x << " , " << #y << ": " << y << " , " << #z \ << ": " << z << endl; \ } #define IOS \ ios::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #ifndef LOCAL #define endl '\n' #endif const int inf = INT_MAX; const double eps = 0.0000001; const double PI = acos(-1.0); const int MOD = 1e9 + 7; const int N = 1e3 + 5; double a[N], dp[N][N]; signed main() { #ifdef LOCAL freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); #endif IOS; int n; cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; dp[1][1] = a[1]; dp[1][0] = 1 - a[1]; for (int i = 2; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1 - a[i]); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (i == 1 && j == 1) continue; if (j > i) { dp[i][j] = 0; continue; } dp[i][j] = dp[i - 1][j] * (1 - a[i]) + dp[i - 1][j - 1] * a[i]; } } double ans = 0; for (int i = (n + 1) / 2; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(10) << ans << endl; return 0; }
#include "bits/stdc++.h" #pragma GCC optimize "03" using namespace std; #define int long long int #define pb push_back #define pii pair<int, int> #define fi first #define se second #define rep(i, a, b) for (int i = a; i < b; ++i) #define dbg(x) \ { cerr << "> " << #x << ": " << x << endl; } #define dbg2(x, y) \ { cerr << "> " << #x << ": " << x << " , " << #y << ": " << y << endl; } #define dbg3(x, y, z) \ { \ cerr << "> " << #x << ": " << x << " , " << #y << ": " << y << " , " << #z \ << ": " << z << endl; \ } #define IOS \ ios::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #ifndef LOCAL #define endl '\n' #endif const int inf = INT_MAX; const double eps = 0.0000001; const double PI = acos(-1.0); const int MOD = 1e9 + 7; const int N = 3e3 + 5; double a[N], dp[N][N]; signed main() { #ifdef LOCAL freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); #endif IOS; int n; cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; dp[1][1] = a[1]; dp[1][0] = 1 - a[1]; for (int i = 2; i <= n; i++) { dp[i][0] = dp[i - 1][0] * (1 - a[i]); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (i == 1 && j == 1) continue; if (j > i) { dp[i][j] = 0; continue; } dp[i][j] = dp[i - 1][j] * (1 - a[i]) + dp[i - 1][j - 1] * a[i]; } } double ans = 0; for (int i = (n + 1) / 2; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(10) << ans << endl; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define ll long long using namespace std; int n; bool visited[3000][3000]; double dp[3000][3000]; double solve(int h, int t, double *p) { if (visited[h][t] == true) return dp[h][t]; else { if (h > t) { dp[h][t] = 0; visited[h][t] = true; return 0; } else if (h == t && t == 1) { dp[h][t] = p[t - 1]; visited[h][t] = true; return dp[h][t]; } else if (h == 0 && t == 1) { dp[h][t] = 1 - p[t - 1]; visited[h][t] = true; return dp[h][t]; } else { dp[h][t] = p[t - 1] * solve(h - 1, t - 1, p) + (1 - p[t - 1]) * solve(h, t - 1, p); visited[h][t] = true; return dp[h][t]; } } } int main() { cin >> n; double p[n]; for (int i = 0; i < n; i++) cin >> p[i]; for (int i = 0; i <= n; i++) for (int j = 0; j <= n; j++) visited[i][j] = false; double pro = 0; for (int i = n / 2 + 1; i <= n; i++) { pro += solve(i, n, p); } cout.precision(9); cout << fixed << pro << endl; }
#include <bits/stdc++.h> #define ll long long using namespace std; int n; bool visited[3000][3000]; double dp[3000][3000]; double solve(int h, int t, double *p) { if (visited[h][t] == true) return dp[h][t]; else { if (h > t) { dp[h][t] = 0; visited[h][t] = true; return 0; } else if (h == t && t == 1) { dp[h][t] = p[t - 1]; visited[h][t] = true; return dp[h][t]; } else if (h == 0 && t == 1) { dp[h][t] = 1 - p[t - 1]; visited[h][t] = true; return dp[h][t]; } else { dp[h][t] = ((h == 0) ? 0 : (p[t - 1] * solve(h - 1, t - 1, p))) + (1 - p[t - 1]) * solve(h, t - 1, p); visited[h][t] = true; return dp[h][t]; } } } int main() { cin >> n; double p[n]; for (int i = 0; i < n; i++) cin >> p[i]; for (int i = 0; i <= n; i++) for (int j = 0; j <= n; j++) visited[i][j] = false; double pro = 0; for (int i = n / 2 + 1; i <= n; i++) { pro += solve(i, n, p); } cout.precision(9); cout << fixed << pro << endl; }
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p03168
C++
Time Limit Exceeded
/************ * @Just Another Source code by: ankit.sangwan1999 * @created on: 25 May 2020 */ #include <bits/stdc++.h> using namespace std; #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) //;cout.tie(NULL) #define ll long long const int mod = 1e9 + 7; #define endl '\n' int n; int t_max; vector<double> prr; double dp[3000][3000]; bool vis[3000][3000]; double fun(int ind, int curr_tails) { // if(vis[ind][curr_tails]) { // return dp[ind][curr_tails]; // } // vis[ind][curr_tails] = 1; double pos1 = 0, pos2 = 0; if (curr_tails < t_max) { pos1 = (1 - prr[ind]); if (ind - 1 >= 0) { if (vis[ind - 1][curr_tails + 1] == 0) { dp[ind - 1][curr_tails + 1] = fun(ind - 1, curr_tails + 1); } pos1 *= dp[ind - 1][curr_tails + 1]; } } pos2 = prr[ind]; if (ind - 1 >= 0) { if (vis[ind - 1][curr_tails] == 0) { dp[ind - 1][curr_tails] = fun(ind - 1, curr_tails); } pos2 *= dp[ind - 1][curr_tails]; } return dp[ind][curr_tails] = pos1 + pos2; } signed main() { fastio; cin >> n; for (int i = 0; i < 3000; i++) for (int j = 0; j < 3000; j++) vis[i][j] = 0; if (n & 1) t_max = n / 2; else t_max = n / 2 - 1; prr = vector<double>(n); for (int i = 0; i < n; i++) cin >> setprecision(10) >> prr[i]; cout << setprecision(10) << fun(n - 1, 0); return 0; }
/************ * @Just Another Source code by: ankit.sangwan1999 * @created on: 25 May 2020 */ #include <bits/stdc++.h> using namespace std; #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) //;cout.tie(NULL) #define ll long long const int mod = 1e9 + 7; #define endl '\n' int n; int t_max; vector<double> prr; double dp[3000][3000]; bool vis[3000][3000]; double fun(int ind, int curr_tails) { if (vis[ind][curr_tails]) { return dp[ind][curr_tails]; } vis[ind][curr_tails] = 1; double pos1 = 0, pos2 = 0; if (curr_tails < t_max) { pos1 = (1 - prr[ind]); if (ind - 1 >= 0) { if (vis[ind - 1][curr_tails + 1] == 0) { dp[ind - 1][curr_tails + 1] = fun(ind - 1, curr_tails + 1); } pos1 *= dp[ind - 1][curr_tails + 1]; } } pos2 = prr[ind]; if (ind - 1 >= 0) { if (vis[ind - 1][curr_tails] == 0) { dp[ind - 1][curr_tails] = fun(ind - 1, curr_tails); } pos2 *= dp[ind - 1][curr_tails]; } return dp[ind][curr_tails] = pos1 + pos2; } signed main() { fastio; cin >> n; for (int i = 0; i < 3000; i++) for (int j = 0; j < 3000; j++) vis[i][j] = 0; if (n & 1) t_max = n / 2; else t_max = n / 2 - 1; prr = vector<double>(n); for (int i = 0; i < n; i++) cin >> setprecision(10) >> prr[i]; cout << setprecision(10) << fun(n - 1, 0); return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; using namespace std; typedef long long ll; typedef long double ld; typedef array<ll, 2> pll; const ll NMAX = 1005, MOD = 1e9 + 7; ld dp[NMAX][NMAX]; int main() { ll n; ld p, ans = 0; cin >> n; dp[0][0] = 1; for (ll i = 1; i <= n; i++) { cin >> p; for (ll cnt = 0; cnt <= i; cnt++) { dp[i][cnt] = dp[i - 1][cnt - 1] * p + dp[i - 1][cnt] * (1 - p); } } for (ll i = n / 2 + 1; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(9) << ans; return 0; }
#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; using namespace std; typedef long long ll; typedef long double ld; typedef array<ll, 2> pll; const ll NMAX = 3005, MOD = 1e9 + 7; ld dp[NMAX][NMAX]; int main() { ll n; ld p, ans = 0; cin >> n; dp[0][0] = 1; for (ll i = 1; i <= n; i++) { cin >> p; for (ll cnt = 0; cnt <= i; cnt++) { dp[i][cnt] = dp[i - 1][cnt - 1] * p + dp[i - 1][cnt] * (1 - p); } } for (ll i = n / 2 + 1; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(9) << ans; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define FAST_IO \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); using namespace std; typedef long long ll; typedef pair<int, int> pi; const int MOD = 1e9 + 7; void add_self(int &a, int b) { a += b; if (a >= MOD) { a -= MOD; } } void sub_self(int &a, int b) { a -= b; if (a < 0) { a += MOD; } } const int MAXN = 1e3 + 5; int main() { #ifndef ONLINE_JUDGE (void)freopen("input.txt", "r", stdin); (void)freopen("output.txt", "w", stdout); #endif FAST_IO; // dp[k] // the prob that there are k heads so far // if we toss i times, k times heads -> i-k times tail s int n; cin >> n; double p; vector<double> dp(n + 1); dp[0] = 1; for (int coin = 0; coin < n; ++coin) { cin >> p; for (int i = coin + 1; i >= 0; --i) { dp[i] = (i == 0 ? 0 : dp[i - 1] * p) + dp[i] * (1 - p); } } double answer = 0.0; for (int heads = 0; heads <= n; ++heads) { int tails = n - heads; if (heads > tails) answer += dp[heads]; } printf("%.10lf", answer); return 0; }
#include <bits/stdc++.h> #define FAST_IO \ ios_base::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0); using namespace std; typedef long long ll; typedef pair<int, int> pi; const int MOD = 1e9 + 7; void add_self(int &a, int b) { a += b; if (a >= MOD) { a -= MOD; } } void sub_self(int &a, int b) { a -= b; if (a < 0) { a += MOD; } } const int MAXN = 1e3 + 5; int main() { FAST_IO; // dp[k] // the prob that there are k heads so far // if we toss i times, k times heads -> i-k times tail s int n; cin >> n; double p; vector<double> dp(n + 1); dp[0] = 1; for (int coin = 0; coin < n; ++coin) { cin >> p; for (int i = coin + 1; i >= 0; --i) { dp[i] = (i == 0 ? 0 : dp[i - 1] * p) + dp[i] * (1 - p); } } double answer = 0.0; for (int heads = 0; heads <= n; ++heads) { int tails = n - heads; if (heads > tails) answer += dp[heads]; } printf("%.10lf", answer); return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define F first #define S second #define MP make_pair #define PB emplace_back using namespace std; const int N = 1e3 + 100, mod = 1e9 + 7; long double dp[N]; int main() { cout << setprecision(12) << fixed; dp[0] = 1; long long int n; cin >> n; for (int i = 0; i < n; i++) { long double x; cin >> x; for (int j = i + 1; j >= 0; j--) { dp[j] = dp[j] * (1 - x); if (j != 0) dp[j] += dp[j - 1] * x; } } long long int sag = (n + 1) / 2; long double ans = 0; for (int i = sag; i <= n; i++) ans += dp[i]; cout << ans; }
#include <bits/stdc++.h> #define F first #define S second #define MP make_pair #define PB emplace_back using namespace std; const int N = 1e4 + 100, mod = 1e9 + 7; long double dp[N]; int main() { cout << setprecision(12) << fixed; dp[0] = 1; long long int n; cin >> n; for (int i = 0; i < n; i++) { long double x; cin >> x; for (int j = i + 1; j >= 0; j--) { dp[j] = dp[j] * (1 - x); if (j != 0) dp[j] += dp[j - 1] * x; } } long long int sag = (n + 1) / 2; long double ans = 0; for (int i = sag; i <= n; i++) ans += dp[i]; cout << ans; }
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p03168
C++
Runtime Error
#include <algorithm> #include <cctype> #include <cmath> #include <iomanip> #include <iostream> #include <map> #include <numeric> #include <queue> #include <set> #include <string> #include <vector> using namespace std; int main() { ios::sync_with_stdio(false); std::cout << fixed << setprecision(10); int n; cin >> n; vector<double> dp((n + 1) / 2, 0); dp[0] = 1.0; for (int i = 0; i < n; i++) { double p; cin >> p; p = 1 - p; for (int j = min(i + 1, (n + 1) / 2); j > 0; j--) { dp[j] = dp[j] * (1 - p) + dp[j - 1] * p; } dp[0] = dp[0] * (1 - p); } cout << accumulate(dp.begin(), dp.end(), 0.0); return 0; }
#include <algorithm> #include <cctype> #include <cmath> #include <iomanip> #include <iostream> #include <map> #include <numeric> #include <queue> #include <set> #include <string> #include <vector> using namespace std; int main() { ios::sync_with_stdio(false); std::cout << fixed << setprecision(10); int n; cin >> n; vector<double> dp((n + 1) / 2, 0); dp[0] = 1.0; for (int i = 0; i < n; i++) { double p; cin >> p; p = 1 - p; for (int j = min(i + 1, n / 2); j > 0; j--) { dp[j] = dp[j] * (1 - p) + dp[j - 1] * p; } dp[0] = dp[0] * (1 - p); } cout << accumulate(dp.begin(), dp.end(), 0.0); return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-ffloat-store") #pragma GCC optimize("-fno-defer-pop") #define all(a) a.begin(), a.end() #define ll long long int #define ps push_back #define fs first #define sc second #define mkp make_pair #define mod 1000000007 double dp[3000][3000]; double maxval(double ar[], ll i, ll n, ll h, ll t) { // ll t=i-h; if (i == n) { if (h > t) return 1.0; else return 0.0; } // cout<<i<<" "<<h<<" "<<dp[i][h]<<endl; if (dp[i][h] != 100.0) { return dp[i][h]; } double a = 0.0, b = 0.0; a = ar[i] * maxval(ar, i + 1, n, h + 1, t); b = (1.0 - ar[i]) * maxval(ar, i + 1, n, h, t + 1); dp[i][h] = (a + b); return dp[i][h]; } int main() { #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ll i, j, k, l, n; cin >> n; for (i = 0; i < 3000; i++) { for (j = 0; j < 3000; j++) { dp[i][j] = 100.0; } } double ar[n]; for (i = 0; i < n; i++) { cin >> ar[i]; } double an = maxval(ar, 0, n, 0, 0); cout << setprecision(10) << an; return 0; } // ctrl H replace
#include <bits/stdc++.h> using namespace std; #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-ffloat-store") #pragma GCC optimize("-fno-defer-pop") #define all(a) a.begin(), a.end() #define ll long long int #define ps push_back #define fs first #define sc second #define mkp make_pair #define mod 1000000007 double dp[3000][3000]; double maxval(double ar[], ll i, ll n, ll h, ll t) { // ll t=i-h; if (i == n) { if (h > t) return 1.0; else return 0.0; } // cout<<i<<" "<<h<<" "<<dp[i][h]<<endl; if (dp[i][h] != 100.0) { return dp[i][h]; } double a = 0.0, b = 0.0; a = ar[i] * maxval(ar, i + 1, n, h + 1, t); b = (1.0 - ar[i]) * maxval(ar, i + 1, n, h, t + 1); dp[i][h] = (a + b); return dp[i][h]; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ll i, j, k, l, n; cin >> n; for (i = 0; i < 3000; i++) { for (j = 0; j < 3000; j++) { dp[i][j] = 100.0; } } double ar[n]; for (i = 0; i < n; i++) { cin >> ar[i]; } double an = maxval(ar, 0, n, 0, 0); cout << setprecision(10) << an; return 0; } // ctrl H replace
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define sz(a) int(a.size()) #define ll long long #define ull unsigned long long // #define mod int(1e9+7) #define endl '\n' #define Engz \ ios::sync_with_stdio(0); \ ios_base::sync_with_stdio(0); \ cin.tie(0), cout.tie(0); #define pi double(acos(-1)) #define S second #define F first // freopen("input.txt","r",stdin); //------------------- BESH ----------------------// long long mod; long long p(long long a, long long b) { if (b == 0) return 1; long long z = p(a, b / 2); if (b % 2 == 0) return ((z % mod) * (z % mod)) % mod; else return (((z * z) % mod) * a) % mod; } long long g(long long a, long long b) { if (a == 0) return b; else return g(b % a, a); } //-----------sieve --------------------// bool prime[1000001]; void sieve() { memset(prime, true, sizeof prime); prime[0] = prime[1] = 0; for (int i = 2; i * i <= 1000000; i++) { if (prime[i] == true) for (int j = i * i; j <= 100000; j += i) prime[j] = false; } } ll lcm(ll a, ll b) { return (a * b) / __gcd(a, b); } long double a[3005]; long double ans[1003][1003]; int main() { int n; cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; ans[1][0] = 1.0 - a[1]; ans[1][1] = a[1]; for (int i = 2; i <= n; i++) { for (int j = 0; j <= n; j++) { if (j <= i) { ans[i][j] = ans[i - 1][j] * (1 - a[i]); if (j) ans[i][j] += ans[i - 1][j - 1] * a[i]; } else ans[i][j] = 0; } } long double res = 0; for (int i = ceil((long double)n / 2); i <= n; i++) res += ans[n][i]; cout << setprecision(12) << fixed << res; return 0; }
#include <bits/stdc++.h> using namespace std; #define sz(a) int(a.size()) #define ll long long #define ull unsigned long long // #define mod int(1e9+7) #define endl '\n' #define Engz \ ios::sync_with_stdio(0); \ ios_base::sync_with_stdio(0); \ cin.tie(0), cout.tie(0); #define pi double(acos(-1)) #define S second #define F first // freopen("input.txt","r",stdin); //------------------- BESH ----------------------// long long mod; long long p(long long a, long long b) { if (b == 0) return 1; long long z = p(a, b / 2); if (b % 2 == 0) return ((z % mod) * (z % mod)) % mod; else return (((z * z) % mod) * a) % mod; } long long g(long long a, long long b) { if (a == 0) return b; else return g(b % a, a); } //-----------sieve --------------------// bool prime[1000001]; void sieve() { memset(prime, true, sizeof prime); prime[0] = prime[1] = 0; for (int i = 2; i * i <= 1000000; i++) { if (prime[i] == true) for (int j = i * i; j <= 100000; j += i) prime[j] = false; } } ll lcm(ll a, ll b) { return (a * b) / __gcd(a, b); } long double a[3005]; long double ans[3005][3005]; int main() { int n; cin >> n; for (int i = 1; i <= n; i++) cin >> a[i]; ans[1][0] = 1.0 - a[1]; ans[1][1] = a[1]; for (int i = 2; i <= n; i++) { for (int j = 0; j <= n; j++) { if (j <= i) { ans[i][j] = ans[i - 1][j] * (1 - a[i]); if (j) ans[i][j] += ans[i - 1][j - 1] * a[i]; } else ans[i][j] = 0; } } long double res = 0; for (int i = ceil((long double)n / 2); i <= n; i++) res += ans[n][i]; cout << setprecision(12) << fixed << res; return 0; }
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p03168
C++
Runtime Error
#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; const ll MOD = 1e9 + 7; const ll INF = 2e15 + 10; const ll MAX = 1e14 + 10; const ld EPS = 1e-9; const int N = 1e3 + 10; const int M = 1e5 + 10; ld p[N]; void solve() { int n; cin >> n; fr(i, n) cin >> p[i]; vector<ld> cnt(n + 1, 0); cnt[0] = 1; fr(i, n) { vector<ld> ncnt(n + 1, 0); fr(j, n) { ncnt[j + 1] += cnt[j] * p[i]; ncnt[j] += cnt[j] * (1 - p[i]); } cnt = ncnt; } ld ans = accumulate(cnt.begin() + (n + 1) / 2, cnt.end(), 0.0); cout << fixed << setprecision(12) << ans; } 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 long double ld; const ll MOD = 1e9 + 7; const ll INF = 2e15 + 10; const ll MAX = 1e14 + 10; const ld EPS = 1e-9; const int N = 3e3 + 10; const int M = 1e5 + 10; ld p[N]; void solve() { int n; cin >> n; fr(i, n) cin >> p[i]; vector<ld> cnt(n + 1, 0); cnt[0] = 1; fr(i, n) { vector<ld> ncnt(n + 1, 0); fr(j, n) { ncnt[j + 1] += cnt[j] * p[i]; ncnt[j] += cnt[j] * (1 - p[i]); } cnt = ncnt; } ld ans = accumulate(cnt.begin() + (n + 1) / 2, cnt.end(), 0.0); cout << fixed << setprecision(12) << ans; } int main() { // freopen("a.in", "r", stdin); ios_base::sync_with_stdio(false); solve(); }
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p03168
C++
Runtime Error
#pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; typedef long long ll; // mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int N; vector<double> v; double memo[1009][1009]; bool vis[1009][1009]; bool g[1009][1009]; ll mod = 1e9 + 7; double sol(int pos, int k) { if (pos == N) return k > (N / 2); if (vis[pos][k]) return memo[pos][k]; vis[pos][k] = 1; return memo[pos][k] = sol(pos + 1, k + 1) * v[pos] + sol(pos + 1, k) * (1 - v[pos]); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); // freopen("input.txt","r",stdin); // freopen("output.txt","w",stdout); cin >> N; for (int i = 0; i < N; i++) { double a; cin >> a; v.push_back(a); } cout << fixed << setprecision(20) << sol(0, 0); return 0; }
#pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; typedef long long ll; // mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int N; vector<double> v; double memo[3009][3009]; bool vis[3009][3009]; ll mod = 1e9 + 7; double sol(int pos, int k) { if (pos == N) return k > (N / 2); if (vis[pos][k]) return memo[pos][k]; vis[pos][k] = 1; return memo[pos][k] = sol(pos + 1, k + 1) * v[pos] + sol(pos + 1, k) * (1 - v[pos]); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); // freopen("input.txt","r",stdin); // freopen("output.txt","w",stdout); cin >> N; for (int i = 0; i < N; i++) { double a; cin >> a; v.push_back(a); } cout << fixed << setprecision(20) << sol(0, 0); return 0; }
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p03168
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 ll long long #define pb push_back #define fi first #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); #define fit(x) for (auto it = x.begin(); it != x.end(); ++it) #define se second #define mp make_pair #define ALL(x) x.begin(), x.end() #define ALP "abcdefghijklmnopqrstuvwxyz" #define nline cout << "\n" #define rep(i, x) for (i = 0; i < x; ++i) #define repr(i, a, b) for (i = a; i <= b; ++i) #define PLL pair<ll, ll> #define VLL vector<ll> #define W(t) while (t--) #define modsum(a, b, M) (a % M + b % M) % M #define modsub(a, b, M) (a % M - b % M + M) % M #define modmul(a, b, M) (a % M * b % M) % M #define moddiv(a, b, M) (a % M * modinv(b, M) % M) % M #define seperate cout << "*****************\n"; const long long mi2 = 500000004; const long long mi3 = 333333336; const long long MOD = 1000000007; #define ordered_set \ tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> #define ordered_pset \ tree<PLL, null_type, less<PLL>, rb_tree_tag, \ tree_order_statistics_node_update> int xcod[4] = {-1, 0, 1, 0}; int ycod[4] = {0, 1, 0, -1}; #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) {} template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...); } struct custom_hash { static uint64_t splitmix64(uint64_t x) { x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31); } size_t operator()(uint64_t x) const { static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM); } }; struct HASH { size_t operator()(const pair<ll, ll> &x) const { return hash<long long>()(((long long)x.first) ^ (((long long)x.second) << 32)); } }; // unordered_map<pair<int,int>,int,HASH>mp; // unordered_map<ll, ll, custom_hash> safe_map; ll powermod(ll x, ll n, ll M) { ll result = 1; while (n > 0) { if (n % 2 == 1) result = (result * x) % M; x = (x * x) % M; n = n / 2; } return result; } vector<ll> readll() { cin >> ws; vector<ll> v; string input; getline(cin, input); cout << input; istringstream is(input); ll num; while (is >> num) v.pb(num); return v; } /* int BLOCK_SIZE; inline bool mo_cmp(const pair< pair<int, int>, int> &x,const pair< pair<int, int>, int> &y) { if ( (x.fi.fi/BLOCK_SIZE) != (y.fi.fi/BLOCK_SIZE) ) return x < y ; return ((x.fi.fi/BLOCK_SIZE)&1)^(x.fi.se<y.fi.se) ; } */ ll modinv(ll n, ll p) { return powermod(n, p - 2, p); } ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll fact[1000005], invf[1000005]; void facmod(ll n, ll M) { ll i; fact[0] = fact[1] = 1; for (i = 2; i <= n; ++i) { fact[i] = ((fact[i - 1]) % M * (i % M)) % M; } invf[n] = modinv(fact[n], M); for (i = n - 1; i >= 0; --i) { invf[i] = invf[i + 1] * (i + 1); invf[i] %= M; } } /* ll T=0; ll p[200005], d[200005]; ll tin[200005], tout[200005]; vector<ll> g[200005]; bool vis[200005]; void dfs(ll v,ll par=1,ll dep=0) { //dbg(v); tin[v] = T++; vis[v]=true; p[v] = par; d[v] = dep; for (auto to : g[v]) { if (vis[to]) continue; dfs(to,v,dep+1); } tout[v] = T++; } */ // ll treeSet() { // ordered_set o_set; // o_set.insert(1); //for duplicate elements use pair and use second element // unique // // find by order returns iterator of ith largest element; // cout<<*(o_set.find_by_order(1)) //second smallest element; // // Finding the number of elements // // strictly less than k=4 // cout << o_set.order_of_key(4) ; // // Deleting 2 from the set if it exists // if (o_set.find(2) != o_set.end()) // o_set.erase(o_set.find(2)); // } void solve() { ll i, j, n; cin >> n; long double p[n + 4]; repr(i, 1, n) { cin >> p[i]; } long double dp[n + 4][n + 4]; memset(dp, 0, sizeof(dp)); dp[0][0] = 1; repr(i, 1, n) { dp[0][i] = dp[0][i - 1] * (1 - p[i]); } repr(i, 1, n) { repr(j, 1, n) { dp[i][j] = dp[i][j - 1] * (1 - p[j]) + dp[i - 1][j - 1] * p[j]; } } long double ans = 0; repr(i, n / 2 + 1, n) { ans += dp[i][n]; } printf("%.10Lf", ans); // cout<<ans; } int main() { fastio; #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); // freopen("output.txt","w",stdout); #endif ll t = 1; // cin>>t; W(t) { solve(); } return 0; }
#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 ll long long #define pb push_back #define fi first #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); #define fit(x) for (auto it = x.begin(); it != x.end(); ++it) #define se second #define mp make_pair #define ALL(x) x.begin(), x.end() #define ALP "abcdefghijklmnopqrstuvwxyz" #define nline cout << "\n" #define rep(i, x) for (i = 0; i < x; ++i) #define repr(i, a, b) for (i = a; i <= b; ++i) #define PLL pair<ll, ll> #define VLL vector<ll> #define W(t) while (t--) #define modsum(a, b, M) (a % M + b % M) % M #define modsub(a, b, M) (a % M - b % M + M) % M #define modmul(a, b, M) (a % M * b % M) % M #define moddiv(a, b, M) (a % M * modinv(b, M) % M) % M #define seperate cout << "*****************\n"; const long long mi2 = 500000004; const long long mi3 = 333333336; const long long MOD = 1000000007; #define ordered_set \ tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> #define ordered_pset \ tree<PLL, null_type, less<PLL>, rb_tree_tag, \ tree_order_statistics_node_update> int xcod[4] = {-1, 0, 1, 0}; int ycod[4] = {0, 1, 0, -1}; #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) {} template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...); } struct custom_hash { static uint64_t splitmix64(uint64_t x) { x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31); } size_t operator()(uint64_t x) const { static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM); } }; struct HASH { size_t operator()(const pair<ll, ll> &x) const { return hash<long long>()(((long long)x.first) ^ (((long long)x.second) << 32)); } }; // unordered_map<pair<int,int>,int,HASH>mp; // unordered_map<ll, ll, custom_hash> safe_map; ll powermod(ll x, ll n, ll M) { ll result = 1; while (n > 0) { if (n % 2 == 1) result = (result * x) % M; x = (x * x) % M; n = n / 2; } return result; } vector<ll> readll() { cin >> ws; vector<ll> v; string input; getline(cin, input); cout << input; istringstream is(input); ll num; while (is >> num) v.pb(num); return v; } /* int BLOCK_SIZE; inline bool mo_cmp(const pair< pair<int, int>, int> &x,const pair< pair<int, int>, int> &y) { if ( (x.fi.fi/BLOCK_SIZE) != (y.fi.fi/BLOCK_SIZE) ) return x < y ; return ((x.fi.fi/BLOCK_SIZE)&1)^(x.fi.se<y.fi.se) ; } */ ll modinv(ll n, ll p) { return powermod(n, p - 2, p); } ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll fact[1000005], invf[1000005]; void facmod(ll n, ll M) { ll i; fact[0] = fact[1] = 1; for (i = 2; i <= n; ++i) { fact[i] = ((fact[i - 1]) % M * (i % M)) % M; } invf[n] = modinv(fact[n], M); for (i = n - 1; i >= 0; --i) { invf[i] = invf[i + 1] * (i + 1); invf[i] %= M; } } /* ll T=0; ll p[200005], d[200005]; ll tin[200005], tout[200005]; vector<ll> g[200005]; bool vis[200005]; void dfs(ll v,ll par=1,ll dep=0) { //dbg(v); tin[v] = T++; vis[v]=true; p[v] = par; d[v] = dep; for (auto to : g[v]) { if (vis[to]) continue; dfs(to,v,dep+1); } tout[v] = T++; } */ // ll treeSet() { // ordered_set o_set; // o_set.insert(1); //for duplicate elements use pair and use second element // unique // // find by order returns iterator of ith largest element; // cout<<*(o_set.find_by_order(1)) //second smallest element; // // Finding the number of elements // // strictly less than k=4 // cout << o_set.order_of_key(4) ; // // Deleting 2 from the set if it exists // if (o_set.find(2) != o_set.end()) // o_set.erase(o_set.find(2)); // } void solve() { ll i, j, n; cin >> n; long double p[n + 4]; repr(i, 1, n) { cin >> p[i]; } long double dp[n + 4][n + 4]; memset(dp, 0, sizeof(dp)); dp[0][0] = 1; repr(i, 1, n) { dp[0][i] = dp[0][i - 1] * (1 - p[i]); } repr(i, 1, n) { repr(j, 1, n) { dp[i][j] = dp[i][j - 1] * (1 - p[j]) + dp[i - 1][j - 1] * p[j]; } } long double ans = 0; repr(i, n / 2 + 1, n) { ans += dp[i][n]; } printf("%.10Lf", ans); // cout<<ans; } int main() { fastio; // #ifndef ONLINE_JUDGE // freopen("input.txt","r",stdin); // //freopen("output.txt","w",stdout); // #endif ll t = 1; // cin>>t; W(t) { solve(); } return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int N = 1e3 + 10; double a[N], sum, d[N][N]; int n, kek; int main() { cin >> n; d[0][0] = 1; for (int i = 1; i <= n; i++) { cin >> a[i]; d[i][0] = 1; } d[n][0] = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { d[i][j] = d[i - 1][j - 1] * a[i] + d[i - 1][j] * (1 - a[i]); } } if (n % 2 == 1) { kek = int(n / 2) + 1; } else { kek = int(n / 2); } for (int i = kek; i <= n; i++) { sum += d[n][i]; } printf("%.10f", d[n][kek]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3e3 + 10; double a[N], sum, d[N][N]; int n, kek; int main() { cin >> n; d[0][0] = 1; for (int i = 1; i <= n; i++) { cin >> a[i]; d[i][0] = 1; } d[n][0] = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { d[i][j] = d[i - 1][j - 1] * a[i] + d[i - 1][j] * (1 - a[i]); } } if (n % 2 == 1) { kek = int(n / 2) + 1; } else { kek = int(n / 2); } for (int i = kek; i <= n; i++) { sum += d[n][i]; } printf("%.10f", d[n][kek]); return 0; }
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p03168
C++
Runtime Error
/* aman36 - Aman Raj */ #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define IOS \ ios ::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define AfterDecimal(n) cout << fixed << setprecision(n); #define pb push_back #define pp(a, b) pair<a, b> #define ll long long #define ld long double #define all(a) a.begin(), a.end() #define pi pair<int, int> #define pll pair<ll, ll> #define F first #define S second #define itr iterator #define bits(x) __builtin_popcount(x) #define fori(n) for (ll i = 0; i < n; i++) #define forj(n) for (ll j = 0; j < n; j++) #define fork(n) for (ll k = 0; k < n; k++) #define forlp(k, x, n) for (ll k = x; k <= n; k++) #define vll vector<ll> #define mll map<ll, ll> #define vpll vector<pll> #define mem(x) memset(x, 0, sizeof(x)); #define int ll #define endl "\n" using namespace __gnu_pbds; using namespace std; template <class T> T printr(T p) { cout << p << '\n'; return 0; } template <class T> T printe(T p) { cout << p << '\n'; exit(0); } template <class T> bool uin(T &a, T b) { return a > b ? (a = b, true) : false; } template <class T> bool uax(T &a, T b) { return a < b ? (a = b, true) : false; } template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; #ifdef DEBUG #define debug(...) __f(#__VA_ARGS__, __VA_ARGS__) template <typename Arg1> void __f(const char *name, Arg1 &&arg1) { cout << "# " << name << " = " << arg1 << '\n'; } template <typename Arg1, typename... Args> void __f(const char *names, Arg1 &&arg1, Args &&...args) { const char *comma = strchr(names + 1, ','); cout << "# "; cout.write(names, comma - names) << " = " << arg1 << " | "; __f(comma + 1, args...); } #else #define debug(...) 36 #endif ll mxm() { return LLONG_MIN; } template <typename... Args> ll mxm(ll a, Args... args) { return max(a, mxm(args...)); } ll mnm() { return LLONG_MAX; } template <typename... Args> ll mnm(ll a, Args... args) { return min(a, mnm(args...)); } template <class T> ostream &operator<<(ostream &os, vector<T> V) { os << "[ "; for (auto v : V) os << v << " "; return os << "]"; } template <class L, class R> ostream &operator<<(ostream &os, pair<L, R> P) { return os << "(" << P.first << "," << P.second << ")"; } int power(int lx, int ly, int p) { ll res = 1; ll x = lx; ll y = ly; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return (int)res; } bool isPrime(int n) { if (n <= 1) return false; if (n <= 3) return true; if (n % 2 == 0 || n % 3 == 0) return false; for (int i = 5; i * i <= n; i = i + 6) if (n % i == 0 || n % (i + 2) == 0) return false; return true; } const ll INF = (ll)(8e18); const ll MOD = 1e9 + 7; const ll MOD2 = 998244353; const int maxn = 1e6 + 5; // check the limits const int N = 1005; double dp[N][N]; int32_t main() { IOS; #ifndef ONLINe5E_JUDGE // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); #endif int n, m; cin >> n; double a[n]; fori(n) { cin >> a[i]; } AfterDecimal(10); for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { if (!i && !j) dp[i][j] = (ld)1.0; else if (!i) { dp[i][j] = (ld)0.0; } else if (!j) { dp[i][j] = dp[i - 1][j] * ((ld)1.0 - a[i - 1]); } else { dp[i][j] = dp[i - 1][j - 1] * a[i - 1] + ((ld)1.0 - a[i - 1]) * dp[i - 1][j]; } // cout << dp[i][j] << " "; } // cout << endl; } ld ans = 0.0; for (int i = 0; i <= n; i++) { if (i > n / 2) { ans += dp[n][i]; } } cout << ans << endl; #ifdef LOCAL cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n"; #endif } /* g++ -DLOCAL -DDEBUG -std=c++17 -Wshadow -Wall -o "c" "icpc.cpp" -fsanitize=address -fsanitize=undefined -D_GLIBCXX_DEBUG -g */ // read the question correctly // read code carefully // corner cases // int vs ll // cin vs scanf // clear structures // maths // check max, min set to INT_MAX instead INF // check constraints
/* aman36 - Aman Raj */ #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define IOS \ ios ::sync_with_stdio(false); \ cin.tie(0); \ cout.tie(0) #define AfterDecimal(n) cout << fixed << setprecision(n); #define pb push_back #define pp(a, b) pair<a, b> #define ll long long #define ld long double #define all(a) a.begin(), a.end() #define pi pair<int, int> #define pll pair<ll, ll> #define F first #define S second #define itr iterator #define bits(x) __builtin_popcount(x) #define fori(n) for (ll i = 0; i < n; i++) #define forj(n) for (ll j = 0; j < n; j++) #define fork(n) for (ll k = 0; k < n; k++) #define forlp(k, x, n) for (ll k = x; k <= n; k++) #define vll vector<ll> #define mll map<ll, ll> #define vpll vector<pll> #define mem(x) memset(x, 0, sizeof(x)); #define int ll #define endl "\n" using namespace __gnu_pbds; using namespace std; template <class T> T printr(T p) { cout << p << '\n'; return 0; } template <class T> T printe(T p) { cout << p << '\n'; exit(0); } template <class T> bool uin(T &a, T b) { return a > b ? (a = b, true) : false; } template <class T> bool uax(T &a, T b) { return a < b ? (a = b, true) : false; } template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; #ifdef DEBUG #define debug(...) __f(#__VA_ARGS__, __VA_ARGS__) template <typename Arg1> void __f(const char *name, Arg1 &&arg1) { cout << "# " << name << " = " << arg1 << '\n'; } template <typename Arg1, typename... Args> void __f(const char *names, Arg1 &&arg1, Args &&...args) { const char *comma = strchr(names + 1, ','); cout << "# "; cout.write(names, comma - names) << " = " << arg1 << " | "; __f(comma + 1, args...); } #else #define debug(...) 36 #endif ll mxm() { return LLONG_MIN; } template <typename... Args> ll mxm(ll a, Args... args) { return max(a, mxm(args...)); } ll mnm() { return LLONG_MAX; } template <typename... Args> ll mnm(ll a, Args... args) { return min(a, mnm(args...)); } template <class T> ostream &operator<<(ostream &os, vector<T> V) { os << "[ "; for (auto v : V) os << v << " "; return os << "]"; } template <class L, class R> ostream &operator<<(ostream &os, pair<L, R> P) { return os << "(" << P.first << "," << P.second << ")"; } int power(int lx, int ly, int p) { ll res = 1; ll x = lx; ll y = ly; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return (int)res; } bool isPrime(int n) { if (n <= 1) return false; if (n <= 3) return true; if (n % 2 == 0 || n % 3 == 0) return false; for (int i = 5; i * i <= n; i = i + 6) if (n % i == 0 || n % (i + 2) == 0) return false; return true; } const ll INF = (ll)(8e18); const ll MOD = 1e9 + 7; const ll MOD2 = 998244353; const int maxn = 1e6 + 5; // check the limits const int N = 3005; double dp[N][N]; int32_t main() { IOS; #ifndef ONLINe5E_JUDGE // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); #endif int n, m; cin >> n; double a[n]; fori(n) { cin >> a[i]; } AfterDecimal(10); for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { if (!i && !j) dp[i][j] = (ld)1.0; else if (!i) { dp[i][j] = (ld)0.0; } else if (!j) { dp[i][j] = dp[i - 1][j] * ((ld)1.0 - a[i - 1]); } else { dp[i][j] = dp[i - 1][j - 1] * a[i - 1] + ((ld)1.0 - a[i - 1]) * dp[i - 1][j]; } // cout << dp[i][j] << " "; } // cout << endl; } ld ans = 0.0; for (int i = 0; i <= n; i++) { if (i > n / 2) { ans += dp[n][i]; } } cout << ans << endl; #ifdef LOCAL cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n"; #endif } /* g++ -DLOCAL -DDEBUG -std=c++17 -Wshadow -Wall -o "c" "icpc.cpp" -fsanitize=address -fsanitize=undefined -D_GLIBCXX_DEBUG -g */ // read the question correctly // read code carefully // corner cases // int vs ll // cin vs scanf // clear structures // maths // check max, min set to INT_MAX instead INF // check constraints
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; using ll = long long; int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; vector<double> p(n); vector<double> dp(n, 0); dp[0] = 1; for (int i = 0; i < n; i++) { cin >> p[i]; for (int j = i; j >= 0; j--) { dp[j + 1] += dp[j] * p[i]; dp[j] *= 1 - p[i]; } } double ans = 0; for (int i = n; i > n / 2; i--) { ans += dp[i]; } cout << fixed << setprecision(15) << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; vector<double> p(n); vector<double> dp(n + 1, 0); dp[0] = 1; for (int i = 0; i < n; i++) { cin >> p[i]; for (int j = i; j >= 0; j--) { dp[j + 1] += dp[j] * p[i]; dp[j] *= 1 - p[i]; } } double ans = 0; for (int i = n; i > n / 2; i--) { ans += dp[i]; } cout << fixed << setprecision(15) << ans << endl; return 0; }
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p03168
C++
Time Limit Exceeded
#include <algorithm> #include <assert.h> #include <cmath> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <stack> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <string> #include <time.h> #include <vector> using namespace std; const int N = 1e3 + 2; const long long MOD = 1e9 + 7; int n; double dp[3000][3000], p[3000]; bool vis[3000][3000]; double calc(int i, int heads) { if (i == n) { return heads > n / 2; } double &ret = dp[i][heads]; if (vis[i][heads]) { return ret; } ret = calc(i + 1, heads + 1) * p[i]; ret += calc(i + 1, heads) * (1 - p[i]); return ret; } int main() { cin >> n; for (int i = 0; i < n; ++i) { cin >> p[i]; } cout << setprecision(16) << calc(0, 0) << endl; return 0; }
#include <algorithm> #include <assert.h> #include <cmath> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <set> #include <stack> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <string> #include <time.h> #include <vector> using namespace std; const int N = 1e3 + 2; const long long MOD = 1e9 + 7; int n; double dp[3000][3000], p[3000]; bool vis[3000][3000]; double calc(int i, int heads) { if (i == n) { return heads > n / 2; } double &ret = dp[i][heads]; if (vis[i][heads]) { return ret; } vis[i][heads] = true; ret = calc(i + 1, heads + 1) * p[i]; ret += calc(i + 1, heads) * (1 - p[i]); return ret; } int main() { cin >> n; for (int i = 0; i < n; ++i) { cin >> p[i]; } cout << setprecision(16) << calc(0, 0) << endl; return 0; }
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TLE
p03168
C++
Runtime Error
#include <bits/stdc++.h> #define FOR(i, a, b) for (int i = (a); i <= (b); ++i) #define FORR(i, a, b) for (int i = (a); i >= (b); --i) #define REP(i, b) for (int i = 0; i < (b); ++i) #define endl '\n' #define sz(x) (int)x.size() #define mod % #define fillchar(x, y, z) memset(x, z, y) #define pii pair<int, int> #define fi first #define se second #define mp make_pair #define sqr(x) ((x) * (x)) typedef long long int64; typedef unsigned long long qword; using namespace std; const int maxn = 1e3 + 5; long double f[maxn][maxn]; void Input() { int n; cin >> n; f[0][0] = 1; FOR(i, 1, n) { long double p; cin >> p; f[i][0] = f[i - 1][0] * (1.0 - p); FOR(j, 1, i) f[i][j] = (f[i - 1][j - 1] * p + f[i - 1][j] * (1.0 - p)); } long double res = 0; FOR(i, 1, n) if (i > n - i) res += f[n][i]; cout.precision(9); cout << fixed << res; } void Solve() {} int main() { #ifdef meomeomeooooo freopen("input.txt", "r", stdin); // freopen(".out","w",stdout); #endif // meomeomeooooo iostream::sync_with_stdio(false); cin.tie(0); Input(); Solve(); return 0; }
#include <bits/stdc++.h> #define FOR(i, a, b) for (int i = (a); i <= (b); ++i) #define FORR(i, a, b) for (int i = (a); i >= (b); --i) #define REP(i, b) for (int i = 0; i < (b); ++i) #define endl '\n' #define sz(x) (int)x.size() #define mod % #define fillchar(x, y, z) memset(x, z, y) #define pii pair<int, int> #define fi first #define se second #define mp make_pair #define sqr(x) ((x) * (x)) typedef long long int64; typedef unsigned long long qword; using namespace std; const int maxn = 3e3 + 5; long double f[maxn][maxn]; void Input() { int n; cin >> n; f[0][0] = 1; FOR(i, 1, n) { long double p; cin >> p; f[i][0] = f[i - 1][0] * (1.0 - p); FOR(j, 1, i) f[i][j] = (f[i - 1][j - 1] * p + f[i - 1][j] * (1.0 - p)); } long double res = 0; FOR(i, 1, n) if (i > n - i) res += f[n][i]; cout.precision(9); cout << fixed << res; } void Solve() {} int main() { #ifdef meomeomeooooo freopen("input.txt", "r", stdin); // freopen(".out","w",stdout); #endif // meomeomeooooo iostream::sync_with_stdio(false); cin.tie(0); Input(); Solve(); return 0; }
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p03168
C++
Runtime Error
#include <stdio.h> #include <stdlib.h> #include <string.h> // #include <math.h> // #include <algorithm> #include <vector> #define MIN(a, b) ((a) > (b) ? (b) : (a)) #define MAX(a, b) ((a) < (b) ? (b) : (a)) using namespace std; int main(int argc, char *argv[]) { long n; scanf("%ld", &n); double gp0[1500] = {0}; double gp1[1500] = {0}; gp0[0] = 1; long i, j; for (i = 1; i <= n; i++) { double p = 0; scanf("%lf", &p); for (j = 0; j <= i; j++) { if (i % 2 == 1) { gp1[j] = (j > 0 ? p * gp0[j - 1] + (1 - p) * gp0[j] : (1 - p) * gp0[j]); } else { gp0[j] = (j > 0 ? p * gp1[j - 1] + (1 - p) * gp1[j] : (1 - p) * gp1[j]); } } } double sum = 0; for (i = n / 2 + 1; i <= n; i++) { sum += gp1[i]; } printf("%.10f\n", sum); return 0; }
#include <stdio.h> #include <stdlib.h> #include <string.h> // #include <math.h> // #include <algorithm> #include <vector> #define MIN(a, b) ((a) > (b) ? (b) : (a)) #define MAX(a, b) ((a) < (b) ? (b) : (a)) using namespace std; int main(int argc, char *argv[]) { long n; scanf("%ld", &n); double gp0[3001] = {0}; double gp1[3001] = {0}; gp0[0] = 1; long i, j; for (i = 1; i <= n; i++) { double p = 0; scanf("%lf", &p); for (j = 0; j <= i; j++) { if (i % 2 == 1) { gp1[j] = (j > 0 ? p * gp0[j - 1] + (1 - p) * gp0[j] : (1 - p) * gp0[j]); } else { gp0[j] = (j > 0 ? p * gp1[j - 1] + (1 - p) * gp1[j] : (1 - p) * gp1[j]); } } } double sum = 0; for (i = n / 2 + 1; i <= n; i++) { sum += gp1[i]; } printf("%.10f\n", sum); return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define ll long long #define fr(a, b) for (int i = a; i < b; i++) #define mod 1000000007 #define triplet pair<int, pair<int, int>> #define fast_io \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) using namespace std; double dp[3000][3000]; double magic(vector<double> &bias, int i, int heads) { if (i == -1 && heads == 0) return 1; if (i == -1) return 0; if (dp[i][heads] >= 0) return dp[i][heads]; double p1 = bias[i] * magic(bias, i - 1, heads - 1); double p2 = (1 - bias[i]) * magic(bias, i - 1, heads); return dp[i][heads] = p1 + p2; } int main() { ll i, j, t, n, m, p, k; fast_io; t = 1; // cin>>t; while (t--) { cin >> n; memset(dp, -1, sizeof dp); double ans = 0; vector<double> coins(n); fr(0, n) cin >> coins[i]; int reqHeads = n / 2 + 1; while (reqHeads <= n) ans += magic(coins, coins.size() - 1, reqHeads++); cout << fixed << setprecision(9) << ans; } return 0; }
#include <bits/stdc++.h> #define ll long long #define fr(a, b) for (int i = a; i < b; i++) #define mod 1000000007 #define triplet pair<int, pair<int, int>> #define fast_io \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) using namespace std; double dp[3000][3000]; double magic(vector<double> &bias, int i, int heads) { if (heads < 0) return 0; if (i == -1 && heads == 0) return 1; if (i == -1) return 0; if (dp[i][heads] >= 0) return dp[i][heads]; double p1 = bias[i] * magic(bias, i - 1, heads - 1); double p2 = (1 - bias[i]) * magic(bias, i - 1, heads); return dp[i][heads] = p1 + p2; } int main() { ll i, j, t, n, m, p, k; fast_io; t = 1; // cin>>t; while (t--) { cin >> n; memset(dp, -1, sizeof dp); double ans = 0; vector<double> coins(n); fr(0, n) cin >> coins[i]; int reqHeads = n / 2 + 1; while (reqHeads <= n) ans += magic(coins, coins.size() - 1, reqHeads++); cout << fixed << setprecision(9) << ans; } return 0; }
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p03168
C++
Time Limit Exceeded
/* author: kartik8800 */ #include <bits/stdc++.h> #define ll long long #define pb push_back #define fr(a, b) for (ll i = a; i < b; i++) #define mod 1000000007 #define all(x) (x).begin(), (x).end() #define prDouble(x) cout << fixed << setprecision(10) << x #define triplet pair<ll, pair<ll, ll>> #define fast_io \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) using namespace std; double dp[3001][3001]; double solve(vector<double> ar, int i, int heads) { if (heads <= 0) return 1; if (i == 0) return 0; if (dp[i][heads] > -0.9) return dp[i][heads]; return dp[i][heads] = ar[i] * solve(ar, i - 1, heads - 1) + (1 - ar[i]) * solve(ar, i - 1, heads); } int main() { int n; cin >> n; memset(dp, -1, sizeof dp); vector<double> ar(n + 1); fr(1, n + 1) cin >> ar[i]; prDouble(solve(ar, n, (n + 1) / 2)); }
/* author: kartik8800 */ #include <bits/stdc++.h> #define ll long long #define pb push_back #define fr(a, b) for (ll i = a; i < b; i++) #define mod 1000000007 #define all(x) (x).begin(), (x).end() #define prDouble(x) cout << fixed << setprecision(10) << x #define triplet pair<ll, pair<ll, ll>> #define fast_io \ ios_base::sync_with_stdio(false); \ cin.tie(NULL) using namespace std; double dp[3001][3001]; double solve(vector<double> &ar, int i, int heads) { if (heads <= 0) return 1; if (i == 0) return 0; if (dp[i][heads] > -0.9) return dp[i][heads]; return dp[i][heads] = ar[i] * solve(ar, i - 1, heads - 1) + (1 - ar[i]) * solve(ar, i - 1, heads); } int main() { int n; cin >> n; memset(dp, -1, sizeof dp); vector<double> ar(n + 1); fr(1, n + 1) cin >> ar[i]; prDouble(solve(ar, n, (n + 1) / 2)); }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long typedef unsigned long long ull; typedef long double ld; #define IOS \ ios::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define PI 3.14159265 const int MOD = 1e9 + 7; #define pb push_back #define mp make_pair #define ff first #define ss second #define all(a) (a).begin(), (a).end() const int N = 3e2 + 5; double dp[N][N]; double p[N]; int n; double go(int pos, int head) { if (pos == n + 1) { return head > n / 2; } double &ans = dp[pos][head]; if (ans != -1) return ans; ans = 0; ans += (p[pos] * go(pos + 1, head + 1)) + ((1 - p[pos]) * go(pos + 1, head)); return ans; } int32_t main() { IOS; cin >> n; for (int i = 1; i <= n; i++) { cin >> p[i]; } for (int i = 1; i <= n; i++) { for (int j = 0; j <= n; j++) { dp[i][j] = -1.0; } } cout << fixed << setprecision(12) << go(1, 0) << endl; }
#include <bits/stdc++.h> using namespace std; #define int long long typedef unsigned long long ull; typedef long double ld; #define IOS \ ios::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define PI 3.14159265 const int MOD = 1e9 + 7; #define pb push_back #define mp make_pair #define ff first #define ss second #define all(a) (a).begin(), (a).end() const int N = 3005; double dp[N][N]; double p[N]; int n; double go(int pos, int head) { if (pos == n + 1) { return head > n / 2; } double &ans = dp[pos][head]; if (ans != -1) return ans; ans = 0; ans += (p[pos] * go(pos + 1, head + 1)) + ((1 - p[pos]) * go(pos + 1, head)); return ans; } int32_t main() { IOS; cin >> n; for (int i = 1; i <= n; i++) { cin >> p[i]; } for (int i = 1; i <= n; i++) { for (int j = 0; j <= n; j++) { dp[i][j] = -1.0; } } cout << fixed << setprecision(12) << go(1, 0) << endl; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long int N; double p[3333]; double dp[3333][3333]; // dp[i][j]: 表i枚、裏j枚が出る確率 signed main() { // 入力 cin >> N; for (int i = 0; i < N; i++) { cin >> p[i]; } dp[0][0] = 1; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { // おもて dp[i + 1][j] += dp[i][j] * p[i + j]; // うら dp[i][j + 1] += dp[i][j] * (1 - p[i + j]); } } double ans = 0; for (int i = N / 2 + 1; i <= N; i++) { int j = N - i; ans += dp[i][j]; } printf("%.10f\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long int N; double p[3333]; double dp[3333][3333]; // dp[i][j]: 表i枚、裏j枚が出る確率 signed main() { // 入力 cin >> N; for (int i = 0; i < N; i++) { cin >> p[i]; } dp[0][0] = 1; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { if (i + j > N) continue; // おもて dp[i + 1][j] += dp[i][j] * p[i + j]; // うら dp[i][j + 1] += dp[i][j] * (1 - p[i + j]); } } double ans = 0; for (int i = N / 2 + 1; i <= N; i++) { int j = N - i; ans += dp[i][j]; } printf("%.10f\n", ans); return 0; }
insert
19
19
19
21
0
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long #define dbg3(x, y, z) \ cerr << "(" << #x << ", " << #y << ", " << #z << ") = " \ << "(" << x << ", " << y << ", " << z << ")" << endl; template <typename T> void print2(T Array, int height, int width) { for (int i = 0; i < height; i++) { for (int j = 0; j < width; j++) { // cout << " " << Array[i][j]; printf("%6f ", Array[i][j]); } cout << endl; } } int N; double p[3333]; double dp[3333][3333]; // dp[i][j]: 表i枚、裏j枚が出る確率 signed main() { // 入力 cin >> N; for (int i = 0; i < N; i++) { cin >> p[i]; } dp[0][0] = 1; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { // おもて dp[i + 1][j] += dp[i][j] * p[i + j]; // うら dp[i][j + 1] += dp[i][j] * (1 - p[i + j]); } } double ans = 0; for (int i = N / 2 + 1; i <= N; i++) { int j = N - i; ans += dp[i][j]; } printf("%.10f\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long #define dbg3(x, y, z) \ cerr << "(" << #x << ", " << #y << ", " << #z << ") = " \ << "(" << x << ", " << y << ", " << z << ")" << endl; template <typename T> void print2(T Array, int height, int width) { for (int i = 0; i < height; i++) { for (int j = 0; j < width; j++) { // cout << " " << Array[i][j]; printf("%6f ", Array[i][j]); } cout << endl; } } int N; double p[3333]; double dp[3333][3333]; // dp[i][j]: 表i枚、裏j枚が出る確率 signed main() { // 入力 cin >> N; for (int i = 0; i < N; i++) { cin >> p[i]; } dp[0][0] = 1; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { if (i + j > N) continue; // おもて dp[i + 1][j] += dp[i][j] * p[i + j]; // うら dp[i][j + 1] += dp[i][j] * (1 - p[i + j]); } } double ans = 0; for (int i = N / 2 + 1; i <= N; i++) { int j = N - i; ans += dp[i][j]; } printf("%.10f\n", ans); return 0; }
insert
32
32
32
34
0
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long int N; double p[3333]; // コインの表が出る確率 double dp[3333][3333]; signed main() { cin >> N; for (int i = 0; i < N; i++) { cin >> p[i]; } dp[0][0] = 1; // DPテーブルを初期化 for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { // おもて dp[i + 1][j] += dp[i][j] * p[i + j]; // うら dp[i][j + 1] += dp[i][j] * (1 - p[i + j]); } } double ans = 0; for (int i = N / 2 + 1; i <= N; i++) { int j = N - i; ans += dp[i][j]; } printf("%.10f\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long int N; double p[3333]; // コインの表が出る確率 double dp[3333][3333]; signed main() { cin >> N; for (int i = 0; i < N; i++) { cin >> p[i]; } dp[0][0] = 1; // DPテーブルを初期化 for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { if (i + j > N) continue; // おもて dp[i + 1][j] += dp[i][j] * p[i + j]; // うら dp[i][j + 1] += dp[i][j] * (1 - p[i + j]); } } double ans = 0; for (int i = N / 2 + 1; i <= N; i++) { int j = N - i; ans += dp[i][j]; } printf("%.10f\n", ans); return 0; }
insert
18
18
18
20
0
p03168
C++
Runtime Error
#pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; #define MAXN ((int)1e3 + 5) #define MOD ((int)1e9 + 7) #define ll long long #define _ << " " << #define TRACE(x) cout << #x << " = " << x << endl; #define pb push_back #define MP make_pair #define pi pair<int, int> #define vi vector<int> #define vii vector<pi> #define all(x) x.begin(), x.end() int n, m, t, k; double p[MAXN]; double dp[MAXN][MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n; for (int i = 0; i < n; ++i) cin >> p[i]; // for (int i = 0; i < n; ++i) // { // cout << 1-p[i] << endl; // } dp[0][0] = 1.0f - p[0]; dp[0][1] = p[0]; for (int i = 1; i < n; ++i) { for (int j = 0; j <= i + 1; ++j) { if (j) dp[i][j] = dp[i - 1][j] * (1.0f - p[i]) + dp[i - 1][j - 1] * (p[i]); else dp[i][j] = dp[i - 1][j] * (1.0f - p[i]); } } double ans = 0; for (int i = n / 2 + 1; i <= n; ++i) { // cout << i _ dp[n-1][i] << endl; ans += dp[n - 1][i]; } cout << std::setprecision(12) << ans; // for (int i = 0; i < n; ++i) // { // cout << i << " : "; // for (int j = 0; j <= i+1; ++j) // { // cout << dp[i][j] << " "; // } // cout << endl; // } return 0; }
#pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; #define MAXN ((int)3e3 + 5) #define MOD ((int)1e9 + 7) #define ll long long #define _ << " " << #define TRACE(x) cout << #x << " = " << x << endl; #define pb push_back #define MP make_pair #define pi pair<int, int> #define vi vector<int> #define vii vector<pi> #define all(x) x.begin(), x.end() int n, m, t, k; double p[MAXN]; double dp[MAXN][MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n; for (int i = 0; i < n; ++i) cin >> p[i]; // for (int i = 0; i < n; ++i) // { // cout << 1-p[i] << endl; // } dp[0][0] = 1.0f - p[0]; dp[0][1] = p[0]; for (int i = 1; i < n; ++i) { for (int j = 0; j <= i + 1; ++j) { if (j) dp[i][j] = dp[i - 1][j] * (1.0f - p[i]) + dp[i - 1][j - 1] * (p[i]); else dp[i][j] = dp[i - 1][j] * (1.0f - p[i]); } } double ans = 0; for (int i = n / 2 + 1; i <= n; ++i) { // cout << i _ dp[n-1][i] << endl; ans += dp[n - 1][i]; } cout << std::setprecision(12) << ans; // for (int i = 0; i < n; ++i) // { // cout << i << " : "; // for (int j = 0; j <= i+1; ++j) // { // cout << dp[i][j] << " "; // } // cout << endl; // } return 0; }
replace
4
5
4
5
0
p03168
C++
Runtime Error
#include <bits/stdc++.h> #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; #define lli long long int #define ulli unsigned long long int #define ff first #define ss second #define mp make_pair #define pb push_back #define pf pop_front() #define lb lower_bound #define ub upper_bound #define bs binary_search #define loopl(i, a, b) for (lli i = a; i < b; i++) #define loop(i, a, b) for (int i = a; i < b; i++) #define mod 1000000007 #define inf 100000000000000000 #define lld long double #define pll pair<long long int, long long int> #define vll vector<lli> #define eps 0.000001 #define endl '\n' #define mo 998244353 using namespace std; #define MAXN 200005 typedef tree<lli, null_type, less<lli>, rb_tree_tag, tree_order_statistics_node_update> indexed_set; lld dp[3001][3001]; int main() { /////////////////////////////////////////// fastio; #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif /////////////////////////////////////////// lli n; cin >> n; lld p[n + 1]; loopl(i, 1, n + 1) cin >> p[i]; dp[0][0] = 1; loopl(i, 1, n + 1) { loopl(j, 0, n + 1) { if (j > i) break; dp[i][j] = dp[i - 1][j] * (1 - p[i]); if (j >= 1) dp[i][j] += dp[i - 1][j - 1] * p[i]; } } lld ans = 0; loopl(i, n / 2 + 1, n + 1) ans += dp[n][i]; cout << fixed << setprecision(12) << ans << endl; }
#include <bits/stdc++.h> #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; #define lli long long int #define ulli unsigned long long int #define ff first #define ss second #define mp make_pair #define pb push_back #define pf pop_front() #define lb lower_bound #define ub upper_bound #define bs binary_search #define loopl(i, a, b) for (lli i = a; i < b; i++) #define loop(i, a, b) for (int i = a; i < b; i++) #define mod 1000000007 #define inf 100000000000000000 #define lld long double #define pll pair<long long int, long long int> #define vll vector<lli> #define eps 0.000001 #define endl '\n' #define mo 998244353 using namespace std; #define MAXN 200005 typedef tree<lli, null_type, less<lli>, rb_tree_tag, tree_order_statistics_node_update> indexed_set; lld dp[3001][3001]; int main() { lli n; cin >> n; lld p[n + 1]; loopl(i, 1, n + 1) cin >> p[i]; dp[0][0] = 1; loopl(i, 1, n + 1) { loopl(j, 0, n + 1) { if (j > i) break; dp[i][j] = dp[i - 1][j] * (1 - p[i]); if (j >= 1) dp[i][j] += dp[i - 1][j - 1] * p[i]; } } lld ans = 0; loopl(i, n / 2 + 1, n + 1) ans += dp[n][i]; cout << fixed << setprecision(12) << ans << endl; }
delete
39
46
39
39
-11
p03168
C++
Runtime Error
#include <algorithm> #include <cctype> #include <cmath> #include <cstdio> #include <cstring> #include <functional> #include <iomanip> #include <iostream> #include <iterator> #include <list> #include <map> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; #define DEBUG(x) cout << '>' << #x << ':' << x << endl; #define REP(i, n) for (int i = 0; i < (n); i++) #define FOR(i, a, b) for (int i = (a); i <= (b); i++) #define FORD(i, a, b) for (int i = (a); i >= (b); i--) #define ff first #define ss second #define END "\n" #define pb push_back #define fast \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); inline bool EQ(double a, double b) { return fabs(a - b) < 1e-9; } const int INF = 1 << 29; typedef long long ll; typedef vector<int> vi; typedef unsigned long long ull; typedef pair<int, int> ii; typedef vector<ii> vii; inline int two(int n) { return 1 << n; } inline int test(int n, int b) { return (n >> b) & 1; } inline void set_bit(int &n, int b) { n |= two(b); } inline void unset_bit(int &n, int b) { n &= ~two(b); } inline int last_bit(int n) { return n & (-n); } inline int ones(int n) { int res = 0; while (n && ++res) n -= n & (-n); return res; } template <class T> void chmax(T &a, const T &b) { a = max(a, b); } template <class T> void chmin(T &a, const T &b) { a = min(a, b); } ///////////////////////////////////////////////////////////////////// int main() { fast int n, i, j; long double p[3000], ans = 0; long double dp[300][300] = {0}; cin >> n; dp[0][0] = 1; dp[0][1] = 0; for (i = 1; i <= n; i++) { cin >> p[i]; dp[i][0] = dp[i - 1][0] * (1 - p[i]); } // for (i = 0; i < n; i++) // cout << p[i] << " "; for (i = 0; i <= n; i++) { for (j = 1; j <= i; j++) { dp[i][j] = p[i] * dp[i - 1][j - 1] + (1 - p[i]) * dp[i - 1][j]; } } // for (i = 0; i <= n; i++) // { // for (j = 0; j <= n; j++) // { // cout << dp[i][j] << " "; // } // cout << END; // } for (i = 0; i <= n; i++) { if (i > (n / 2)) { ans += dp[n][i]; } } cout << setprecision(10); cout << ans << endl; return 0; }
#include <algorithm> #include <cctype> #include <cmath> #include <cstdio> #include <cstring> #include <functional> #include <iomanip> #include <iostream> #include <iterator> #include <list> #include <map> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; #define DEBUG(x) cout << '>' << #x << ':' << x << endl; #define REP(i, n) for (int i = 0; i < (n); i++) #define FOR(i, a, b) for (int i = (a); i <= (b); i++) #define FORD(i, a, b) for (int i = (a); i >= (b); i--) #define ff first #define ss second #define END "\n" #define pb push_back #define fast \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); inline bool EQ(double a, double b) { return fabs(a - b) < 1e-9; } const int INF = 1 << 29; typedef long long ll; typedef vector<int> vi; typedef unsigned long long ull; typedef pair<int, int> ii; typedef vector<ii> vii; inline int two(int n) { return 1 << n; } inline int test(int n, int b) { return (n >> b) & 1; } inline void set_bit(int &n, int b) { n |= two(b); } inline void unset_bit(int &n, int b) { n &= ~two(b); } inline int last_bit(int n) { return n & (-n); } inline int ones(int n) { int res = 0; while (n && ++res) n -= n & (-n); return res; } template <class T> void chmax(T &a, const T &b) { a = max(a, b); } template <class T> void chmin(T &a, const T &b) { a = min(a, b); } ///////////////////////////////////////////////////////////////////// int main() { fast int n, i, j; long double p[3000], ans = 0; long double dp[3000][3000] = {0}; cin >> n; dp[0][0] = 1; dp[0][1] = 0; for (i = 1; i <= n; i++) { cin >> p[i]; dp[i][0] = dp[i - 1][0] * (1 - p[i]); } // for (i = 0; i < n; i++) // cout << p[i] << " "; for (i = 0; i <= n; i++) { for (j = 1; j <= i; j++) { dp[i][j] = p[i] * dp[i - 1][j - 1] + (1 - p[i]) * dp[i - 1][j]; } } // for (i = 0; i <= n; i++) // { // for (j = 0; j <= n; j++) // { // cout << dp[i][j] << " "; // } // cout << END; // } for (i = 0; i <= n; i++) { if (i > (n / 2)) { ans += dp[n][i]; } } cout << setprecision(10); cout << ans << endl; return 0; }
replace
56
57
56
57
0
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e3 + 5; double dp[MAXN][MAXN], p[MAXN]; int main() { int n; cin >> n; for (int i = 1; i <= n; i++) cin >> p[i]; dp[0][0] = 1.0; for (int i = 1; i <= n; i++) { for (int h = 0; h <= n; h++) { dp[i][h] = (1.0 - p[i]) * dp[i - 1][h]; if (h > 0) dp[i][h] += p[i] * dp[i - 1][h - 1]; } } double ans = 0; for (int i = n / 2 + 1; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(20) << ans << endl; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3e3 + 5; double dp[MAXN][MAXN], p[MAXN]; int main() { int n; cin >> n; for (int i = 1; i <= n; i++) cin >> p[i]; dp[0][0] = 1.0; for (int i = 1; i <= n; i++) { for (int h = 0; h <= n; h++) { dp[i][h] = (1.0 - p[i]) * dp[i - 1][h]; if (h > 0) dp[i][h] += p[i] * dp[i - 1][h - 1]; } } double ans = 0; for (int i = n / 2 + 1; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(20) << ans << endl; }
replace
3
4
3
4
0
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int M = 2e3 + 4; double dp[M][M], p[M], ans; int main() { int n; cin >> n; for (int i = 1; i <= n; i++) cin >> p[i]; dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { if (j == 0) dp[i][j] = dp[i - 1][j] * (1 - p[i]); else dp[i][j] = dp[i - 1][j] * (1 - p[i]) + dp[i - 1][j - 1] * p[i]; } } for (int i = 0; i <= n; i++) { if (i > (n - i)) ans += dp[n][i]; } cout << fixed << setprecision(10); cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int M = 3e3 + 4; double dp[M][M], p[M], ans; int main() { int n; cin >> n; for (int i = 1; i <= n; i++) cin >> p[i]; dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= i; j++) { if (j == 0) dp[i][j] = dp[i - 1][j] * (1 - p[i]); else dp[i][j] = dp[i - 1][j] * (1 - p[i]) + dp[i - 1][j - 1] * p[i]; } } for (int i = 0; i <= n; i++) { if (i > (n - i)) ans += dp[n][i]; } cout << fixed << setprecision(10); cout << ans; return 0; }
replace
2
3
2
3
0
p03168
C++
Time Limit Exceeded
// ~/SolverToBe/Developers/Corvus // ~/sudo apt-get verdict Accpeted #include <algorithm> #include <assert.h> #include <bitset> #include <cstring> #include <functional> #include <iostream> #include <limits.h> #include <map> #include <math.h> #include <memory.h> #include <queue> #include <set> #include <stack> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <string> #include <time.h> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; typedef long long ll; typedef unsigned long long ull; const int N = 3005, M = 1000005; const ll MOD = 1e9 + 7; const double eps = 1e-9; int n; double p[N], dp[N][N]; double calc(int i, int j) { if (i == n) return (j > n - j ? 1.0 : 0.0); double &r = dp[i][j]; if (r > eps) return r; r = calc(i + 1, j + 1) * p[i]; r += calc(i + 1, j) * (1.0 - p[i]); return r; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%lf", p + i); for (int i = 0; i <= n; i++) for (int j = 0; j <= n; j++) dp[i][j] = -100; printf("%.9lf\n", calc(0, 0)); return 0; }
// ~/SolverToBe/Developers/Corvus // ~/sudo apt-get verdict Accpeted #include <algorithm> #include <assert.h> #include <bitset> #include <cstring> #include <functional> #include <iostream> #include <limits.h> #include <map> #include <math.h> #include <memory.h> #include <queue> #include <set> #include <stack> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <string> #include <time.h> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; typedef long long ll; typedef unsigned long long ull; const int N = 3005, M = 1000005; const ll MOD = 1e9 + 7; const double eps = 1e-9; int n; double p[N], dp[N][N]; double calc(int i, int j) { if (i == n) return (j > n - j ? 1.0 : 0.0); double &r = dp[i][j]; if (r > -1) return r; r = calc(i + 1, j + 1) * p[i]; r += calc(i + 1, j) * (1.0 - p[i]); return r; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%lf", p + i); for (int i = 0; i <= n; i++) for (int j = 0; j <= n; j++) dp[i][j] = -100; printf("%.9lf\n", calc(0, 0)); return 0; }
replace
41
42
41
42
TLE
p03168
C++
Runtime Error
#include <algorithm> #include <climits> #include <cmath> #include <cstdio> #include <cstring> #include <iomanip> #include <iostream> #include <list> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <tuple> #include <vector> #define ll long long #define pii pair<int, int> #define pll pair<ll, ll> #define vii vector<int> #define vll vector<ll> #define lb lower_bound #define pb push_back #define mp make_pair #define rep(i, n) for (ll i = 0; i < n; i++) #define rep2(i, a, b) for (ll i = a; i < b; i++) #define repr(i, n) for (ll i = n - 1; i >= 0; i--) #define all(x) x.begin(), x.end() #define INF (ll)1e9 + 7 #define LLINF (ll)1e30 // #define int ll using namespace std; const int MOD = 1e9 + 7; int main() { cin.tie(0); ios::sync_with_stdio(false); int n; vector<double> p; double dp[301][301]; dp[0][0] = 1.0; cin >> n; p.resize(n); rep(i, n) cin >> p[i]; rep(i, n) { rep(j, i + 1) { dp[i + 1][j + 1] += dp[i][j] * p[i]; dp[i + 1][j] += dp[i][j] * (1.0 - p[i]); } } double ans = 0.0; for (int i = (n + 1) / 2; i <= n; i++) { ans += dp[n][i]; } cout << fixed << setprecision(10) << ans << endl; return 0; }
#include <algorithm> #include <climits> #include <cmath> #include <cstdio> #include <cstring> #include <iomanip> #include <iostream> #include <list> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <tuple> #include <vector> #define ll long long #define pii pair<int, int> #define pll pair<ll, ll> #define vii vector<int> #define vll vector<ll> #define lb lower_bound #define pb push_back #define mp make_pair #define rep(i, n) for (ll i = 0; i < n; i++) #define rep2(i, a, b) for (ll i = a; i < b; i++) #define repr(i, n) for (ll i = n - 1; i >= 0; i--) #define all(x) x.begin(), x.end() #define INF (ll)1e9 + 7 #define LLINF (ll)1e30 // #define int ll using namespace std; const int MOD = 1e9 + 7; int main() { cin.tie(0); ios::sync_with_stdio(false); int n; vector<double> p; double dp[3010][3010]; dp[0][0] = 1.0; cin >> n; p.resize(n); rep(i, n) cin >> p[i]; rep(i, n) { rep(j, i + 1) { dp[i + 1][j + 1] += dp[i][j] * p[i]; dp[i + 1][j] += dp[i][j] * (1.0 - p[i]); } } double ans = 0.0; for (int i = (n + 1) / 2; i <= n; i++) { ans += dp[n][i]; } cout << fixed << setprecision(10) << ans << endl; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e3 + 4; #define ll long long long double p[MAXN], dp[MAXN][MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; for (int i = 0; i < n; i++) cin >> p[i]; dp[0][0] = 1; for (int i = 1; i <= n; i++) for (int j = 0; j <= i; j++) { if (j) dp[i][j] += dp[i - 1][j - 1] * p[i - 1]; dp[i][j] += dp[i - 1][j] * (1 - p[i - 1]); } long double R = 0; for (int i = 0; i <= n; i++) if (i > n - i) R += dp[n][i]; cout << fixed << setprecision(10) << R; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3e3 + 4; #define ll long long long double p[MAXN], dp[MAXN][MAXN]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; for (int i = 0; i < n; i++) cin >> p[i]; dp[0][0] = 1; for (int i = 1; i <= n; i++) for (int j = 0; j <= i; j++) { if (j) dp[i][j] += dp[i - 1][j - 1] * p[i - 1]; dp[i][j] += dp[i - 1][j] * (1 - p[i - 1]); } long double R = 0; for (int i = 0; i <= n; i++) if (i > n - i) R += dp[n][i]; cout << fixed << setprecision(10) << R; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; typedef long long lli; typedef long double lld; #define mod 1000000007 #define mod2 998244353 #define fori(n) for (int i = 0; i < n; i++) #define forj(n) for (int j = 0; j < n; j++) #define pb push_back #define mp make_pair #define F first #define S second #define fast ios::sync_with_stdio(0), cin.tie(0), cout.tie(0) #define endl "\n" #define sortvec(a) sort(a.begin(), a.end()) #define watch(x) cerr << "\n" << (#x) << " is " << (x) << endl #define cerr \ if (true) \ cerr void print() { cout << endl; } template <typename T, typename... Args> void print(T a, Args... args) { cout << a << " "; print(args...); } lli llipowerp(lli x, lli y, lli p = LLONG_MAX) { lli res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } lli binarySearch(vector<int> arr, int l, int r, int x) { if (r >= l) { lli mid = l + (r - l) / 2; if (arr[mid] == x) return mid; if (arr[mid] > x) return binarySearch(arr, l, mid - 1, x); return binarySearch(arr, mid + 1, r, x); } return -1; } template <typename T> inline void printvec(vector<T> inp) { for (auto it : inp) cout << it << " "; cout << endl; } //--------------------------------------------------------------------------------- int n; lld dp[3010][3010]; vector<lld> p(1010); lld fill(int i, int j) { if (i + j > n) return 0; if (i < 0 || j < 0) return 0; if (dp[i][j] != -1) return dp[i][j]; dp[i][j] = fill(i - 1, j) * p[i + j] + fill(i, j - 1) * (1 - p[i + j]); return dp[i][j]; } int main() { cin >> n; fori(n + 1) { forj(n + 1) dp[i][j] = -1; } fori(n) cin >> p[i + 1]; dp[0][0] = 1; lld ans = 0; for (int tails = 0; tails <= n; tails++) { if (n - tails > tails) ans += fill(n - tails, tails); } cout << fixed << setprecision(12) << ans << endl; }
#include <bits/stdc++.h> using namespace std; typedef long long lli; typedef long double lld; #define mod 1000000007 #define mod2 998244353 #define fori(n) for (int i = 0; i < n; i++) #define forj(n) for (int j = 0; j < n; j++) #define pb push_back #define mp make_pair #define F first #define S second #define fast ios::sync_with_stdio(0), cin.tie(0), cout.tie(0) #define endl "\n" #define sortvec(a) sort(a.begin(), a.end()) #define watch(x) cerr << "\n" << (#x) << " is " << (x) << endl #define cerr \ if (true) \ cerr void print() { cout << endl; } template <typename T, typename... Args> void print(T a, Args... args) { cout << a << " "; print(args...); } lli llipowerp(lli x, lli y, lli p = LLONG_MAX) { lli res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } lli binarySearch(vector<int> arr, int l, int r, int x) { if (r >= l) { lli mid = l + (r - l) / 2; if (arr[mid] == x) return mid; if (arr[mid] > x) return binarySearch(arr, l, mid - 1, x); return binarySearch(arr, mid + 1, r, x); } return -1; } template <typename T> inline void printvec(vector<T> inp) { for (auto it : inp) cout << it << " "; cout << endl; } //--------------------------------------------------------------------------------- int n; lld dp[3010][3010]; vector<lld> p(3010); lld fill(int i, int j) { if (i + j > n) return 0; if (i < 0 || j < 0) return 0; if (dp[i][j] != -1) return dp[i][j]; dp[i][j] = fill(i - 1, j) * p[i + j] + fill(i, j - 1) * (1 - p[i + j]); return dp[i][j]; } int main() { cin >> n; fori(n + 1) { forj(n + 1) dp[i][j] = -1; } fori(n) cin >> p[i + 1]; dp[0][0] = 1; lld ans = 0; for (int tails = 0; tails <= n; tails++) { if (n - tails > tails) ans += fill(n - tails, tails); } cout << fixed << setprecision(12) << ans << endl; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define start_routine() int begtime = clock(); #define end_routine() \ int endtime = clock(); \ cerr << "\n\n" \ << "Time elapsed: " << (endtime - begtime) * 1000 / CLOCKS_PER_SEC \ << " ms\n\n"; \ return 0 #define ll long long int #define ull unsigned long long int #define db long double #define ff first #define ss second #define mp make_pair #define pb push_back #define lb lower_bound #define ub upper_bound #define pii pair<int, int> #define pdd pair<db, db> #define pll pair<ll, ll> #define vpl vector<pll> #define vll vector<ll> #define mod 1000000007 #define inf 100000000000000007 #define eps 0.000001 #define stp fixed << setprecision(20) #define endl '\n' db dp[3005][3005]; db ans; int main() { start_routine(); fastio; ll n; cin >> n; db p[n + 1]; for (ll i = 1; i <= n; i++) cin >> p[i]; dp[0][0] = 1; for (ll i = 1; i <= n; i++) { dp[i][0] = dp[i - 1][0] * p[i]; dp[0][i] = dp[0][i - 1] * (1.0 - p[i]); } for (ll i = 1; i <= n; i++) for (ll j = 1; j <= n; j++) dp[i][j] = (dp[i][j - 1] * (1.0 - p[i + j])) + (dp[i - 1][j] * p[i + j]); for (ll i = 0; i <= n; i++) for (ll j = 0; j <= n; j++) if (i > j && i + j == n) ans += dp[i][j]; cout << stp << ans; end_routine(); }
#include <bits/stdc++.h> using namespace std; #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define start_routine() int begtime = clock(); #define end_routine() \ int endtime = clock(); \ cerr << "\n\n" \ << "Time elapsed: " << (endtime - begtime) * 1000 / CLOCKS_PER_SEC \ << " ms\n\n"; \ return 0 #define ll long long int #define ull unsigned long long int #define db long double #define ff first #define ss second #define mp make_pair #define pb push_back #define lb lower_bound #define ub upper_bound #define pii pair<int, int> #define pdd pair<db, db> #define pll pair<ll, ll> #define vpl vector<pll> #define vll vector<ll> #define mod 1000000007 #define inf 100000000000000007 #define eps 0.000001 #define stp fixed << setprecision(20) #define endl '\n' db dp[3005][3005]; db ans; int main() { start_routine(); fastio; ll n; cin >> n; db p[n + 1]; for (ll i = 1; i <= n; i++) cin >> p[i]; dp[0][0] = 1; for (ll i = 1; i <= n; i++) { dp[i][0] = dp[i - 1][0] * p[i]; dp[0][i] = dp[0][i - 1] * (1.0 - p[i]); } for (ll i = 1; i <= n; i++) for (ll j = 1; j <= n; j++) if (i + j <= n) dp[i][j] = (dp[i][j - 1] * (1.0 - p[i + j])) + (dp[i - 1][j] * p[i + j]); for (ll i = 0; i <= n; i++) for (ll j = 0; j <= n; j++) if (i > j && i + j == n) ans += dp[i][j]; cout << stp << ans; end_routine(); }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<int> vi; typedef pair<int, int> pi; #define f first #define s second #define pb push_back #define mp make_pair #define fr(i, a, b) for (int i = a; i < b; i++) #define mod 1000000007 #define fr(i, a, b) for (int i = a; i < b; i++) double dp[3001][3001]; double solve(vector<double> &ar, int i, int x) { if (x == 0) { return 1; } if (i == 0) { return 0; } if (dp[i][x] > -0.9) return dp[i][x]; return dp[i][x] = ar[i] * solve(ar, i - 1, x - 1) + (1 - ar[i]) * solve(ar, i - 1, x); } int main() { ios::sync_with_stdio(false); cin.tie(0); #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif int n; cin >> n; memset(dp, -1, sizeof(dp)); vector<double> ar(n + 1); fr(i, 1, n + 1) cin >> ar[i]; cout << fixed << setprecision(10) << solve(ar, n, (n + 1) / 2); }
#include <bits/stdc++.h> using namespace std; #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef vector<int> vi; typedef pair<int, int> pi; #define f first #define s second #define pb push_back #define mp make_pair #define fr(i, a, b) for (int i = a; i < b; i++) #define mod 1000000007 #define fr(i, a, b) for (int i = a; i < b; i++) double dp[3001][3001]; double solve(vector<double> &ar, int i, int x) { if (x == 0) { return 1; } if (i == 0) { return 0; } if (dp[i][x] > -0.9) return dp[i][x]; return dp[i][x] = ar[i] * solve(ar, i - 1, x - 1) + (1 - ar[i]) * solve(ar, i - 1, x); } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; memset(dp, -1, sizeof(dp)); vector<double> ar(n + 1); fr(i, 1, n + 1) cin >> ar[i]; cout << fixed << setprecision(10) << solve(ar, n, (n + 1) / 2); }
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terminate called after throwing an instance of 'std::length_error' what(): cannot create std::vector larger than max_size()
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define forn(i, n) for (int i = 0; i < (int)n; i++) #define forin(i, a, b) for (int i = a; i < (int)b; i++) #define rofin(i, a, b) for (int i = a; i > b; i--) #define v vector #define crap \ ios::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL) #define debug(i) cout << #i << ": " << i << endl using ll = long long; using ld = long double; using pii = pair<int, int>; using vi = vector<int>; int main() { crap; int N; cin >> N; vector<ld> p(N); vector<vector<ld>> dp(N + 1, vector<ld>(N + 1)); for (int i = 1; i <= N; i++) cin >> p[i]; dp[0][0] = 1; for (int i = 1; i <= N; i++) { // i: total number of coins tossed so far for (int j = 0; j <= i; j++) { // j: number of heads so far if (j == 0) { dp[i][j] = dp[i - 1][j] * (1 - p[i]); } else if (j == i) { dp[i][j] = dp[i - 1][j - 1] * p[i]; } else { dp[i][j] = dp[i - 1][j - 1] * p[i] + dp[i - 1][j] * (1 - p[i]); } } } ld sol = 0; for (int i = N; i > N / 2; i--) { sol += dp[N][i]; } cout << setprecision(10) << sol << endl; }
#include <bits/stdc++.h> using namespace std; #define forn(i, n) for (int i = 0; i < (int)n; i++) #define forin(i, a, b) for (int i = a; i < (int)b; i++) #define rofin(i, a, b) for (int i = a; i > b; i--) #define v vector #define crap \ ios::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL) #define debug(i) cout << #i << ": " << i << endl using ll = long long; using ld = long double; using pii = pair<int, int>; using vi = vector<int>; int main() { crap; int N; cin >> N; vector<ld> p(N + 1); vector<vector<ld>> dp(N + 1, vector<ld>(N + 1)); for (int i = 1; i <= N; i++) cin >> p[i]; dp[0][0] = 1; for (int i = 1; i <= N; i++) { // i: total number of coins tossed so far for (int j = 0; j <= i; j++) { // j: number of heads so far if (j == 0) { dp[i][j] = dp[i - 1][j] * (1 - p[i]); } else if (j == i) { dp[i][j] = dp[i - 1][j - 1] * p[i]; } else { dp[i][j] = dp[i - 1][j - 1] * p[i] + dp[i - 1][j] * (1 - p[i]); } } } ld sol = 0; for (int i = N; i > N / 2; i--) { sol += dp[N][i]; } cout << setprecision(10) << sol << endl; }
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munmap_chunk(): invalid pointer
p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long // #define mp make_pair #define eb emplace_back #define pb push_back #define ss second #define ff first #define IOS \ ios::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define mod 998244353 #define MOD (1000 * 1000 * 1000 + 7) #define MN LLONG_MIN #define MX LLONG_MAX #define v1d vector<int> #define v2d vector<vector<int>> #define vip vector<pair<int, int>> #define v1s vector<string> #define pa pair<int, int> #define mxpq(T) priority_queue<T> #define mnpq(T) priority_queue<T, vector<T>, greater<T>> #define print(v) \ for (auto i : v) \ cout << i << " "; \ cout << "\n"; #define p2d(v) \ for (auto a : v) { \ for (auto b : a) \ cout << b << " "; \ cout << endl; \ } #define p1d(v) \ for (auto a : v) \ cout << a << " "; \ cout << endl; #define ppd(v) \ for (auto a : v) \ cout << a.ff << " " << a.ss << endl; #define endl "\n" #define input(b, n) \ for (int i = 0; i < n; i++) \ cin >> b[i + 1]; #define Sort(v) sort(v.begin(), v.end()) #define RSort(v) sort(v.rbegin(), v.rend()) #define all(v) v.begin(), v.end() int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } // string s = bitset<64>(a).to_string(); void azmuth(int n = 12) { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cout << setprecision(n) << fixed; #ifndef ONLINE_JUDGE freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #endif } int lb = 10000000; //____________________________________________________________________________________ int n; vector<double> p; vector<vector<double>> dp; double fun(int idx, int head) { if (idx > n) { if (head >= (n + 1) / 2) return 1.0; else return 0; } if (dp[idx][head] != -1) return dp[idx][head]; double a = p[idx] * fun(idx + 1, head + 1); double b = (1 - p[idx]) * fun(idx + 1, head); return dp[idx][head] = a + b; } void solve() { cin >> n; dp.resize(n + 1, vector<double>(n + 1, -1)); p.resize(n + 1); for (int i = 1; i <= n; i++) cin >> p[i]; cout << fixed << fun(0, 0); } int32_t main() { azmuth(); int t = 1; // cin>>t; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long // #define mp make_pair #define eb emplace_back #define pb push_back #define ss second #define ff first #define IOS \ ios::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define mod 998244353 #define MOD (1000 * 1000 * 1000 + 7) #define MN LLONG_MIN #define MX LLONG_MAX #define v1d vector<int> #define v2d vector<vector<int>> #define vip vector<pair<int, int>> #define v1s vector<string> #define pa pair<int, int> #define mxpq(T) priority_queue<T> #define mnpq(T) priority_queue<T, vector<T>, greater<T>> #define print(v) \ for (auto i : v) \ cout << i << " "; \ cout << "\n"; #define p2d(v) \ for (auto a : v) { \ for (auto b : a) \ cout << b << " "; \ cout << endl; \ } #define p1d(v) \ for (auto a : v) \ cout << a << " "; \ cout << endl; #define ppd(v) \ for (auto a : v) \ cout << a.ff << " " << a.ss << endl; #define endl "\n" #define input(b, n) \ for (int i = 0; i < n; i++) \ cin >> b[i + 1]; #define Sort(v) sort(v.begin(), v.end()) #define RSort(v) sort(v.rbegin(), v.rend()) #define all(v) v.begin(), v.end() int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } // string s = bitset<64>(a).to_string(); void azmuth(int n = 12) { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cout << setprecision(n) << fixed; } int lb = 10000000; //____________________________________________________________________________________ int n; vector<double> p; vector<vector<double>> dp; double fun(int idx, int head) { if (idx > n) { if (head >= (n + 1) / 2) return 1.0; else return 0; } if (dp[idx][head] != -1) return dp[idx][head]; double a = p[idx] * fun(idx + 1, head + 1); double b = (1 - p[idx]) * fun(idx + 1, head); return dp[idx][head] = a + b; } void solve() { cin >> n; dp.resize(n + 1, vector<double>(n + 1, -1)); p.resize(n + 1); for (int i = 1; i <= n; i++) cin >> p[i]; cout << fixed << fun(0, 0); } int32_t main() { azmuth(); int t = 1; // cin>>t; while (t--) { solve(); } return 0; }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> using namespace std; #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; typedef long long int ll; typedef long double ld; typedef pair<ll, ll> isPair; using vvll = vector<vector<ll>>; using vll = vector<ll>; #define Pll pair<ll, ll> #define vpll vector<pll> #define sll set<ll> #define mll map<ll, ll> const ll inf = 1e18; const ll maxs = 100005; const ll mod = 1e9 + 7; #define mp make_pair #define pb push_back #define pf push_front #define pob pop_back #define pof pop_front #define ff first #define ss second #define LB lower_bound #define UB upper_bound #define line cout << endl; #define fr(i, a, b) for (int i = a; i <= b; ++i) #define all(n) n.begin(), n.end() #define present(s, x) (s.find(x) != s.end()) #define cpresent(s, x) (find(all(s), x) != s.end()) #define tr(container, it) \ for (__typeof(container.begin()) it = container.begin(); \ it != container.end(); it++) #define fastio() \ ; \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define mst(x, a) memset(x, a, sizeof(x)) ll n; double dp[3000][3000]; double p[3000]; double go(ll pos, ll h, ll t) { if (pos == n) return h > t; if (dp[pos][h] != -1) return dp[pos][h]; double ans = 0; ans += p[pos] * go(pos + 1, h + 1, t); ans += (1 - p[pos]) * go(pos + 1, h, t + 1); return ans; } int main() { fastio(); cout.precision(20); cout << fixed; ll t = 1; // cin>>t; while (t--) { for (ll i = 0; i < 3000; i++) { for (ll j = 0; j < 3000; j++) dp[i][j] = -1; } cin >> n; for (ll i = 0; i < n; i++) cin >> p[i]; cout << go(0, 0, 0); } return 0; }
#include <bits/stdc++.h> using namespace std; #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace __gnu_pbds; typedef long long int ll; typedef long double ld; typedef pair<ll, ll> isPair; using vvll = vector<vector<ll>>; using vll = vector<ll>; #define Pll pair<ll, ll> #define vpll vector<pll> #define sll set<ll> #define mll map<ll, ll> const ll inf = 1e18; const ll maxs = 100005; const ll mod = 1e9 + 7; #define mp make_pair #define pb push_back #define pf push_front #define pob pop_back #define pof pop_front #define ff first #define ss second #define LB lower_bound #define UB upper_bound #define line cout << endl; #define fr(i, a, b) for (int i = a; i <= b; ++i) #define all(n) n.begin(), n.end() #define present(s, x) (s.find(x) != s.end()) #define cpresent(s, x) (find(all(s), x) != s.end()) #define tr(container, it) \ for (__typeof(container.begin()) it = container.begin(); \ it != container.end(); it++) #define fastio() \ ; \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define mst(x, a) memset(x, a, sizeof(x)) ll n; double dp[3000][3000]; double p[3000]; double go(ll pos, ll h, ll t) { if (pos == n) return h > t; if (dp[pos][h] != -1) return dp[pos][h]; double ans = 0; ans += p[pos] * go(pos + 1, h + 1, t); ans += (1 - p[pos]) * go(pos + 1, h, t + 1); return dp[pos][h] = ans; } int main() { fastio(); cout.precision(20); cout << fixed; ll t = 1; // cin>>t; while (t--) { for (ll i = 0; i < 3000; i++) { for (ll j = 0; j < 3000; j++) dp[i][j] = -1; } cin >> n; for (ll i = 0; i < n; i++) cin >> p[i]; cout << go(0, 0, 0); } return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define int long long long double prob[3000]; int32_t main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; long double p; prob[0] = 1; cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> p; for (int j = 2 * n; j >= 1; j--) { prob[j] = prob[j] * (1 - p) + prob[j - 1] * p; } prob[0] = prob[0] * (1 - p); } long double ans = 0; for (int i = 1 + n / 2; i <= n; i++) ans += prob[i]; cout << fixed << setprecision(10) << ans; return 0; }
#include <bits/stdc++.h> using namespace std; #define int long long long double prob[3000]; int32_t main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; long double p; prob[0] = 1; cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> p; for (int j = n; j >= 1; j--) { prob[j] = prob[j] * (1 - p) + prob[j - 1] * p; } prob[0] = prob[0] * (1 - p); } long double ans = 0; for (int i = 1 + n / 2; i <= n; i++) ans += prob[i]; cout << fixed << setprecision(10) << ans; return 0; }
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p03168
C++
Time Limit Exceeded
#include <bits/stdc++.h> #define ll long long #define PI 3.141592653589 #define IO \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) #define EPS 1e-7 #define f first #define s second using namespace std; int n; double p[3000]; double memo[3000][3000]; double solve(int heads, int tails) { if (heads + tails == n) return (heads > tails) * 1.0; double &res = memo[heads][tails]; if (res > 0) return res; return res = (p[heads + tails]) * solve(heads + 1, tails) + (1 - p[heads + tails]) * solve(heads, tails + 1); } int main() { IO; memset(memo, -1.0, sizeof memo); cin >> n; for (int i = 0; i < n; ++i) cin >> p[i]; cout << fixed << setprecision(10) << solve(0, 0); return 0; }
#include <bits/stdc++.h> #define ll long long #define PI 3.141592653589 #define IO \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) #define EPS 1e-7 #define f first #define s second using namespace std; int n; double p[3000]; double memo[3000][3000]; double solve(int heads, int tails) { if (heads + tails == n) return (heads > tails) * 1.0; double &res = memo[heads][tails]; if (res >= 0) return res; return res = (p[heads + tails]) * solve(heads + 1, tails) + (1 - p[heads + tails]) * solve(heads, tails + 1); } int main() { IO; memset(memo, -1.0, sizeof memo); cin >> n; for (int i = 0; i < n; ++i) cin >> p[i]; cout << fixed << setprecision(10) << solve(0, 0); return 0; }
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p03168
C++
Runtime Error
// if acyclic graph try toposort #include <bits/stdc++.h> using namespace std; #define ll long long #define ld long double #define pb push_back #define vll vector<ll> #define pll pair<ll, ll> #define vpll vector<pll> #define ub upper_bound #define lb lower_bound #define all(v) ((v).begin()), ((v).end()) #define allr(v) ((v).rbegin()), ((v).rend()) #define ff first #define ss second #define mp make_pair #define pll pair<ll, ll> #define fo(i, n) for (ll i = 0; i < n; i++) #define foa(i, s, e) for (ll i = (s); i < e; i++) #define fod(i, s, e) for (ll i = (s); i >= (e); i--) #define max3(a, b, c) max(max(a, b), c) #define min3(a, b, c) min(min(a, b), c) #define deb(x) cerr << #x << ' ' << '=' << ' ' << x << '\n' #define sz(x) (ll)(x.size()) #define ANS cout << ans << '\n' #define YES cout << "YES\n" #define NO cout << "NO\n" #define Yes cout << "Yes\n" #define No cout << "No\n" const ld pi = 3.14159265358979323846; ll MOD = 1e9 + 7; // ll MOD = 998244353; const char nl = '\n'; const ll inf = 1e15; #define fill(a, b) memset(a, b, sizeof(a)) #define setbits(x) __builtin_popcountll(x) #define print2d(dp, n, m) \ fo(i, n) { \ fo(j, m) cout << dp[i][j] << " "; \ cout << "\n"; \ } template <typename T> void umax(T &a, T b) { a = max(a, b); } template <typename T> void umin(T &a, T b) { a = min(a, b); } ll nxt() { ll x; cin >> x; return x; } ll mul(ll x, ll y) { return (1ll * (x % MOD) * (y % MOD)); } ll modpow(ll x, ll y) { ll z = 1; while (y > 0) { if (y % 2) z = mul(z, x); x = mul(x, x); y /= 2; } return z; } ll power(ll x, ll y) { ll z = 1; while (y > 0) { if (y % 2) z = z * x; x = x * x; y /= 2; } return z; } ll gcd(ll a, ll b) { if (a < b) return gcd(b, a); if (b == 0) return a; return gcd(b, a % b); } ll sq(ll a) { ll ans = (1ll * a * a); return ans; } const ll N = 1e3 + 5; ld dp[N]; void solve() { ll n; cin >> n; dp[0] = 1; fo(i, n) { ld p; cin >> p; for (ll j = i + 1; j >= 0; j--) { dp[j] = dp[j] * (1 - p) + (j ? dp[j - 1] * p : 0); } } // fo(i, n)cout << dp[i] << nl; ld ans = 0; fo(i, n + 1) { ll t = n - i; if (t < i) { ans += dp[i]; } } cout << fixed << setprecision(10) << ans << nl; } int main() { ios::sync_with_stdio(false); cin.tie(0), cout.tie(0); #ifndef ONLINE_JUDGE freopen("inputf.txt", "r", stdin); freopen("outputf.txt", "w", stdout); freopen("error.txt", "w", stderr); #endif ll TC = 1; // cin>>TC; while (TC--) { solve(); } cerr << "Time : " << 1000 * ((double)clock()) / (double)CLOCKS_PER_SEC << "ms\n"; }
// if acyclic graph try toposort #include <bits/stdc++.h> using namespace std; #define ll long long #define ld long double #define pb push_back #define vll vector<ll> #define pll pair<ll, ll> #define vpll vector<pll> #define ub upper_bound #define lb lower_bound #define all(v) ((v).begin()), ((v).end()) #define allr(v) ((v).rbegin()), ((v).rend()) #define ff first #define ss second #define mp make_pair #define pll pair<ll, ll> #define fo(i, n) for (ll i = 0; i < n; i++) #define foa(i, s, e) for (ll i = (s); i < e; i++) #define fod(i, s, e) for (ll i = (s); i >= (e); i--) #define max3(a, b, c) max(max(a, b), c) #define min3(a, b, c) min(min(a, b), c) #define deb(x) cerr << #x << ' ' << '=' << ' ' << x << '\n' #define sz(x) (ll)(x.size()) #define ANS cout << ans << '\n' #define YES cout << "YES\n" #define NO cout << "NO\n" #define Yes cout << "Yes\n" #define No cout << "No\n" const ld pi = 3.14159265358979323846; ll MOD = 1e9 + 7; // ll MOD = 998244353; const char nl = '\n'; const ll inf = 1e15; #define fill(a, b) memset(a, b, sizeof(a)) #define setbits(x) __builtin_popcountll(x) #define print2d(dp, n, m) \ fo(i, n) { \ fo(j, m) cout << dp[i][j] << " "; \ cout << "\n"; \ } template <typename T> void umax(T &a, T b) { a = max(a, b); } template <typename T> void umin(T &a, T b) { a = min(a, b); } ll nxt() { ll x; cin >> x; return x; } ll mul(ll x, ll y) { return (1ll * (x % MOD) * (y % MOD)); } ll modpow(ll x, ll y) { ll z = 1; while (y > 0) { if (y % 2) z = mul(z, x); x = mul(x, x); y /= 2; } return z; } ll power(ll x, ll y) { ll z = 1; while (y > 0) { if (y % 2) z = z * x; x = x * x; y /= 2; } return z; } ll gcd(ll a, ll b) { if (a < b) return gcd(b, a); if (b == 0) return a; return gcd(b, a % b); } ll sq(ll a) { ll ans = (1ll * a * a); return ans; } const ll N = 3e3 + 5; ld dp[N]; void solve() { ll n; cin >> n; dp[0] = 1; fo(i, n) { ld p; cin >> p; for (ll j = i + 1; j >= 0; j--) { dp[j] = dp[j] * (1 - p) + (j ? dp[j - 1] * p : 0); } } // fo(i, n)cout << dp[i] << nl; ld ans = 0; fo(i, n + 1) { ll t = n - i; if (t < i) { ans += dp[i]; } } cout << fixed << setprecision(10) << ans << nl; } int main() { ios::sync_with_stdio(false); cin.tie(0), cout.tie(0); #ifndef ONLINE_JUDGE freopen("inputf.txt", "r", stdin); freopen("outputf.txt", "w", stdout); freopen("error.txt", "w", stderr); #endif ll TC = 1; // cin>>TC; while (TC--) { solve(); } cerr << "Time : " << 1000 * ((double)clock()) / (double)CLOCKS_PER_SEC << "ms\n"; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; const int N = 2010; int n; double p[N], f[N][N] = {1.0}; // f[i][j]表示前i个硬币中j个正面向上的概率 int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%lf", &p[i]); f[i][0] = f[i - 1][0] * (1.0 - p[i]); for (int j = 1; j <= i; j++) f[i][j] = f[i - 1][j - 1] * p[i] + f[i - 1][j] * (1.0 - p[i]); } double ans = 0.0; for (int i = (n >> 1) + 1; i <= n; i++) ans += f[n][i]; printf("%.10lf\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 3010; int n; double p[N], f[N][N] = {1.0}; // f[i][j]表示前i个硬币中j个正面向上的概率 int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%lf", &p[i]); f[i][0] = f[i - 1][0] * (1.0 - p[i]); for (int j = 1; j <= i; j++) f[i][j] = f[i - 1][j - 1] * p[i] + f[i - 1][j] * (1.0 - p[i]); } double ans = 0.0; for (int i = (n >> 1) + 1; i <= n; i++) ans += f[n][i]; printf("%.10lf\n", ans); return 0; }
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p03168
C++
Runtime Error
/* Created by Rishu Sahu @ covid 20-20 */ /* ***************************************************************** */ #include <bits/stdc++.h> using namespace std; #define IOS \ cin.sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define ll long long int #define pai pair<int, int> #define pal pair<ll, ll> #define rep(i, n) for (int i = 0; i < n; i++) #define repn(i, a, b) for (int i = a; i <= b; i++) #define ff first #define ss second #define sz(x) (int)x.size() #define vi vector<int> #define vl vector<ll> #define mpl map<ll, ll> #define mpi map<int, int> #define pb push_back #define all(x) x.begin(), x.end() const int mod = 1e9 + 7; const int INF = INT_MAX; const int sze = 1005; double dp[sze][sze]; void solve() { int n; cin >> n; double head[n + 1]; double tail[n + 1]; rep(i, n) { cin >> head[i + 1]; tail[i + 1] = 1.0 - head[i + 1]; } memset(dp, 0, sizeof(dp)); dp[0][0] = 1.0; for (int i = 1; i <= n; i++) { dp[i][0] = tail[i] * dp[i - 1][0]; for (int j = 1; j <= i; j++) { dp[i][j] = head[i] * dp[i - 1][j - 1] + tail[i] * dp[i - 1][j]; } } double ans = 0; for (int i = n / 2 + 1; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(10) << ans << endl; } int main() { solve(); }
/* Created by Rishu Sahu @ covid 20-20 */ /* ***************************************************************** */ #include <bits/stdc++.h> using namespace std; #define IOS \ cin.sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define ll long long int #define pai pair<int, int> #define pal pair<ll, ll> #define rep(i, n) for (int i = 0; i < n; i++) #define repn(i, a, b) for (int i = a; i <= b; i++) #define ff first #define ss second #define sz(x) (int)x.size() #define vi vector<int> #define vl vector<ll> #define mpl map<ll, ll> #define mpi map<int, int> #define pb push_back #define all(x) x.begin(), x.end() const int mod = 1e9 + 7; const int INF = INT_MAX; const int sze = 3005; double dp[sze][sze]; void solve() { int n; cin >> n; double head[n + 1]; double tail[n + 1]; rep(i, n) { cin >> head[i + 1]; tail[i + 1] = 1.0 - head[i + 1]; } memset(dp, 0, sizeof(dp)); dp[0][0] = 1.0; for (int i = 1; i <= n; i++) { dp[i][0] = tail[i] * dp[i - 1][0]; for (int j = 1; j <= i; j++) { dp[i][j] = head[i] * dp[i - 1][j - 1] + tail[i] * dp[i - 1][j]; } } double ans = 0; for (int i = n / 2 + 1; i <= n; i++) ans += dp[n][i]; cout << fixed << setprecision(10) << ans << endl; } int main() { solve(); }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> // For ordered_set #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define MOD 1000000007 #define test \ int t; \ cin >> t; \ while (t--) #define init(arr, val) memset(arr, val, sizeof(arr)) #define loop(i, a, b) for (int i = a; i < b; i++) #define loopr(i, a, b) for (int i = a; i >= b; i--) #define loops(i, a, b, step) for (int i = a; i < b; i += step) #define looprs(i, a, b, step) for (int i = a; i >= b; i -= step) #define ull unsigned long long int #define ll long long int #define P pair #define PLL pair<long long, long long> #define PII pair<int, int> #define PUU pair<unsigned long long int, unsigned long long int> #define L list #define V vector #define D deque #define ST set #define MS multiset #define M map #define UM unordered_map #define mp make_pair #define pb push_back #define pf push_front #define MM multimap #define F first #define S second #define IT iterator #define RIT reverse_iterator #define FAST \ ios_base::sync_with_stdio(false); \ cin.tie(); \ cout.tie(); #define FILE_READ_IN freopen("input.txt", "r", stdin); #define FILE_READ_OUT freopen("output.txt", "w", stdout); #define all(a) a.begin(), a.end() #define ld long double using namespace std; // For ordered_set using namespace __gnu_pbds; template <typename T> using ord_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; const ll maxn = 1e5; const ll inf = 1e9; const double pi = acos(-1); int main() { ll n; cin >> n; ld A[n]; loop(i, 0, n) { cin >> A[i]; } ld prob[100][100]; init(prob, 0); prob[0][0] = 1.0; loop(i, 1, n + 1) { prob[i][0] = prob[i - 1][0] * (1 - A[i - 1]); } loop(i, 1, n + 1) { loop(j, 1, n + 1) { if (j > i) { break; } prob[i][j] = A[i - 1] * prob[i - 1][j - 1] + (1 - A[i - 1]) * prob[i - 1][j]; } } // loop(i,0,n+1){ // loop(j,0,n+1){ // cout<<prob[i][j]<<" "; // } // cout<<"\n"; // } ld ans = 0; ll mid = n / 2; loop(j, mid + 1, n + 1) { ans += prob[n][j]; } cout << fixed << setprecision(10) << ans << endl; return 0; }
#include <bits/stdc++.h> // For ordered_set #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define MOD 1000000007 #define test \ int t; \ cin >> t; \ while (t--) #define init(arr, val) memset(arr, val, sizeof(arr)) #define loop(i, a, b) for (int i = a; i < b; i++) #define loopr(i, a, b) for (int i = a; i >= b; i--) #define loops(i, a, b, step) for (int i = a; i < b; i += step) #define looprs(i, a, b, step) for (int i = a; i >= b; i -= step) #define ull unsigned long long int #define ll long long int #define P pair #define PLL pair<long long, long long> #define PII pair<int, int> #define PUU pair<unsigned long long int, unsigned long long int> #define L list #define V vector #define D deque #define ST set #define MS multiset #define M map #define UM unordered_map #define mp make_pair #define pb push_back #define pf push_front #define MM multimap #define F first #define S second #define IT iterator #define RIT reverse_iterator #define FAST \ ios_base::sync_with_stdio(false); \ cin.tie(); \ cout.tie(); #define FILE_READ_IN freopen("input.txt", "r", stdin); #define FILE_READ_OUT freopen("output.txt", "w", stdout); #define all(a) a.begin(), a.end() #define ld long double using namespace std; // For ordered_set using namespace __gnu_pbds; template <typename T> using ord_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; const ll maxn = 1e5; const ll inf = 1e9; const double pi = acos(-1); int main() { ll n; cin >> n; ld A[n]; loop(i, 0, n) { cin >> A[i]; } ld prob[3000][3000]; init(prob, 0); prob[0][0] = 1.0; loop(i, 1, n + 1) { prob[i][0] = prob[i - 1][0] * (1 - A[i - 1]); } loop(i, 1, n + 1) { loop(j, 1, n + 1) { if (j > i) { break; } prob[i][j] = A[i - 1] * prob[i - 1][j - 1] + (1 - A[i - 1]) * prob[i - 1][j]; } } // loop(i,0,n+1){ // loop(j,0,n+1){ // cout<<prob[i][j]<<" "; // } // cout<<"\n"; // } ld ans = 0; ll mid = n / 2; loop(j, mid + 1, n + 1) { ans += prob[n][j]; } cout << fixed << setprecision(10) << ans << endl; return 0; }
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p03168
C++
Runtime Error
#pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #pragma GCC optimize("unroll-loops") #include <algorithm> #include <bitset> #include <cassert> #include <cmath> #include <cstdio> #include <cstdlib> #include <cstring> #include <ctime> #include <deque> #include <fstream> #include <functional> #include <iomanip> #include <iostream> #include <limits> #include <list> #include <map> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <unordered_map> #include <utility> #include <vector> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<long long> vll; #define left(x) (x << 1) #define right(x) (x << 1) + 1 #define mid(l, r) ((l + r) >> 1) #define mp make_pair #define pb push_back #define all(a) a.begin(), a.end() #define debug(x) \ { cerr << #x << " = " << x << "\n"; } #define debug2(x, y) \ { cerr << #x << " = " << x << ", " << #y << " = " << y << "\n"; } #define debug3(x, y, z) \ { \ cerr << #x << " = " << x << ", " << #y << " = " << y << ", " << #z \ << " = " << z << "\n"; \ } #define debug4(x, y, z, w) \ { \ cerr << #x << " = " << x << ", " << #y << " = " << y << ", " << #z \ << " = " << z << ", " << #w << " = " << w << "\n"; \ } #define ss second #define ff first #define m0(x) memset(x, 0, sizeof(x)) template <typename T> T min_(T a, T b) { return a > b ? b : a; } template <typename T, typename... Ts> T min_(T first, Ts... last) { return min_(first, min_(last...)); } template <typename T> T max_(T a, T b) { return a > b ? a : b; } template <typename T, typename... Ts> T max_(T first, Ts... last) { return max_(first, max_(last...)); } template <class T, class S> std::ostream &operator<<(std::ostream &os, const std::pair<T, S> &t) { os << "(" << t.first << ", " << t.second << ")"; return os; } template <typename T> ostream &operator<<(ostream &out, const vector<T> &v) { out << "["; size_t last = v.size() - 1; for (size_t i = 0; i < v.size(); ++i) { out << v[i]; if (i != last) out << ", "; } out << "]"; return out; } ll pwr(ll base, ll p, ll mod) { ll ans = 1; while (p) { if (p & 1) ans = (ans * base) % mod; base = (base * base) % mod; p /= 2; } return ans; } ll gcd(ll a, ll b) { return b == 0 ? a : gcd(b, a % b); } ll lcm(ll a, ll b) { return a * (b / gcd(a, b)); } const int day[12] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; const int digarr[10] = {6, 2, 5, 5, 4, 5, 6, 3, 7, 6}; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; const int dxo[8] = {-1, -1, -1, 0, 1, 1, 1, 0}; const int dyo[8] = {-1, 0, 1, 1, 1, 0, -1, -1}; const long double PI = (long double)(3.1415926535897932384626433832795); const ll mx_ll = numeric_limits<ll>::max(); const int mx_int = numeric_limits<int>::max(); const int mod = 1e9 + 7; const int maxn = 2e5 + 7; void cppio() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } double dp[1001][1001]; void solve() { int n; cin >> n; vector<double> p(n + 1); for (int i = 0; i < n; i++) { cin >> p[i + 1]; } dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int h = 0; h <= i; h++) { dp[i][h] = ((h == 0) ? 0 : dp[i - 1][h - 1] * p[i]) + dp[i - 1][h] * (1 - p[i]); } } double ans = 0; for (int h = 0; h <= n; h++) { if (h > (n - h)) ans += dp[n][h]; } cout << setprecision(10) << fixed << ans << "\n"; } int main() { cppio(); #ifdef __APPLE__ // freopen("test.in", "rb", stdin); // freopen(" .out", "wb", stdout); #endif int num_test_cases = 1; // cin >> num_test_cases; for (int t = 1; t <= num_test_cases; ++t) { solve(); } return 0; }
#pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #pragma GCC optimize("unroll-loops") #include <algorithm> #include <bitset> #include <cassert> #include <cmath> #include <cstdio> #include <cstdlib> #include <cstring> #include <ctime> #include <deque> #include <fstream> #include <functional> #include <iomanip> #include <iostream> #include <limits> #include <list> #include <map> #include <queue> #include <set> #include <sstream> #include <stack> #include <string> #include <unordered_map> #include <utility> #include <vector> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<int> vi; typedef vector<long long> vll; #define left(x) (x << 1) #define right(x) (x << 1) + 1 #define mid(l, r) ((l + r) >> 1) #define mp make_pair #define pb push_back #define all(a) a.begin(), a.end() #define debug(x) \ { cerr << #x << " = " << x << "\n"; } #define debug2(x, y) \ { cerr << #x << " = " << x << ", " << #y << " = " << y << "\n"; } #define debug3(x, y, z) \ { \ cerr << #x << " = " << x << ", " << #y << " = " << y << ", " << #z \ << " = " << z << "\n"; \ } #define debug4(x, y, z, w) \ { \ cerr << #x << " = " << x << ", " << #y << " = " << y << ", " << #z \ << " = " << z << ", " << #w << " = " << w << "\n"; \ } #define ss second #define ff first #define m0(x) memset(x, 0, sizeof(x)) template <typename T> T min_(T a, T b) { return a > b ? b : a; } template <typename T, typename... Ts> T min_(T first, Ts... last) { return min_(first, min_(last...)); } template <typename T> T max_(T a, T b) { return a > b ? a : b; } template <typename T, typename... Ts> T max_(T first, Ts... last) { return max_(first, max_(last...)); } template <class T, class S> std::ostream &operator<<(std::ostream &os, const std::pair<T, S> &t) { os << "(" << t.first << ", " << t.second << ")"; return os; } template <typename T> ostream &operator<<(ostream &out, const vector<T> &v) { out << "["; size_t last = v.size() - 1; for (size_t i = 0; i < v.size(); ++i) { out << v[i]; if (i != last) out << ", "; } out << "]"; return out; } ll pwr(ll base, ll p, ll mod) { ll ans = 1; while (p) { if (p & 1) ans = (ans * base) % mod; base = (base * base) % mod; p /= 2; } return ans; } ll gcd(ll a, ll b) { return b == 0 ? a : gcd(b, a % b); } ll lcm(ll a, ll b) { return a * (b / gcd(a, b)); } const int day[12] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; const int digarr[10] = {6, 2, 5, 5, 4, 5, 6, 3, 7, 6}; const int dx[4] = {0, 1, 0, -1}; const int dy[4] = {1, 0, -1, 0}; const int dxo[8] = {-1, -1, -1, 0, 1, 1, 1, 0}; const int dyo[8] = {-1, 0, 1, 1, 1, 0, -1, -1}; const long double PI = (long double)(3.1415926535897932384626433832795); const ll mx_ll = numeric_limits<ll>::max(); const int mx_int = numeric_limits<int>::max(); const int mod = 1e9 + 7; const int maxn = 2e5 + 7; void cppio() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } double dp[5001][5001]; void solve() { int n; cin >> n; vector<double> p(n + 1); for (int i = 0; i < n; i++) { cin >> p[i + 1]; } dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int h = 0; h <= i; h++) { dp[i][h] = ((h == 0) ? 0 : dp[i - 1][h - 1] * p[i]) + dp[i - 1][h] * (1 - p[i]); } } double ans = 0; for (int h = 0; h <= n; h++) { if (h > (n - h)) ans += dp[n][h]; } cout << setprecision(10) << fixed << ans << "\n"; } int main() { cppio(); #ifdef __APPLE__ // freopen("test.in", "rb", stdin); // freopen(" .out", "wb", stdout); #endif int num_test_cases = 1; // cin >> num_test_cases; for (int t = 1; t <= num_test_cases; ++t) { solve(); } return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int main() { long int n; cin >> n; vector<double> p(n + 1, 0); double ans[303][303]; ans[0][0] = 1; for (long int i = 1; i <= n; i++) { cin >> p[i]; } for (long int i = 1; i <= n; i++) { double head = p[i], tail = 1 - p[i]; ans[0][i] = tail * ans[0][i - 1]; for (long int h = 1; h <= i; h++) { ans[h][i] = head * ans[h - 1][i - 1] + tail * ans[h][i - 1]; } } double answer = 0; for (long int i = n / 2 + 1; i <= n; i++) { answer = answer + ans[i][n]; } cout << setprecision(9) << answer; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long int n; cin >> n; vector<double> p(n + 1, 0); double ans[3003][3003]; ans[0][0] = 1; for (long int i = 1; i <= n; i++) { cin >> p[i]; } for (long int i = 1; i <= n; i++) { double head = p[i], tail = 1 - p[i]; ans[0][i] = tail * ans[0][i - 1]; for (long int h = 1; h <= i; h++) { ans[h][i] = head * ans[h - 1][i - 1] + tail * ans[h][i - 1]; } } double answer = 0; for (long int i = n / 2 + 1; i <= n; i++) { answer = answer + ans[i][n]; } cout << setprecision(9) << answer; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define forr(i, a, b) for (int i = a; i < b; i++) #define eb emplace_back #define mp make_pair typedef long long int lli; typedef unsigned long long int ulli; const int INF = INT_MAX; const lli MOD = 10e8 + 7; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); std::cout.precision(30); int n; cin >> n; vector<double> dp(n); // where dp[i]=(probablity of i heads) dp[0] = 1; forr(i, 0, n) { double p; cin >> p; for (int k = i + 1; k >= 0; k--) /// we do this to avoid repition { dp[k] = dp[k - 1] * p + dp[k] * (1 - p); // each coin either adds up or it does not } } double sum = 0; for (int i = n / 2 + 1; i < n + 1; i++) sum += dp[i]; cout << sum << endl; return 0; }
#include <bits/stdc++.h> using namespace std; #define forr(i, a, b) for (int i = a; i < b; i++) #define eb emplace_back #define mp make_pair typedef long long int lli; typedef unsigned long long int ulli; const int INF = INT_MAX; const lli MOD = 10e8 + 7; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); std::cout.precision(30); int n; cin >> n; vector<double> dp(n + 2); // where dp[i]=(probablity of i heads) dp[0] = 1; forr(i, 0, n) { double p; cin >> p; for (int k = i + 1; k >= 0; k--) /// we do this to avoid repition { dp[k] = dp[k - 1] * p + dp[k] * (1 - p); // each coin either adds up or it does not } } double sum = 0; for (int i = n / 2 + 1; i < n + 1; i++) sum += dp[i]; cout << sum << endl; return 0; }
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p03168
C++
Runtime Error
#include <iomanip> #include <iostream> const int MAXN = 300 + 5; using namespace std; int n; long double dp[MAXN][MAXN], probability[MAXN]; int main() { cin >> n; for (int i = 1; i <= n; i++) cin >> probability[i]; dp[0][0] = 1; for (int i = 0; i < n; i++) { for (int j = 0; j <= i; j++) { dp[i + 1][j] += dp[i][j] * (1 - probability[i + 1]); dp[i + 1][j + 1] += dp[i][j] * probability[i + 1]; } } long double ans = 0; for (int j = n / 2 + 1; j <= n; j++) ans += dp[n][j]; cout << setprecision(10) << fixed << ans; return 0; }
#include <iomanip> #include <iostream> const int MAXN = 3000 + 5; using namespace std; int n; long double dp[MAXN][MAXN], probability[MAXN]; int main() { cin >> n; for (int i = 1; i <= n; i++) cin >> probability[i]; dp[0][0] = 1; for (int i = 0; i < n; i++) { for (int j = 0; j <= i; j++) { dp[i + 1][j] += dp[i][j] * (1 - probability[i + 1]); dp[i + 1][j + 1] += dp[i][j] * probability[i + 1]; } } long double ans = 0; for (int j = n / 2 + 1; j <= n; j++) ans += dp[n][j]; cout << setprecision(10) << fixed << ans; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define FASTIO \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define ll double #define vi vector<ll> #define all(a) (a).begin(), (a).end() #define rep(i, a, b) for (int i = a; i < b; i++) #define tr(it, a) for (auto it = a.begin(); it != a.end(); it++) #define pb push_back #define endl "\n" const int MAX = 30 + 3; // const int mod=1e9+7; int n; vi v(MAX); double dp[MAX][MAX]; /* ll fun(int i,int k) { if(i==n && k<=n/2) return 0; if(i==n && k>n/2) return 1; if(dp[i][k]>=0) return dp[i][k]; ll a=v[i]*fun(i+1,k+1); ll b=(1-v[i])*fun(i+1,k); dp[i][k]=a+b; //cout<<a+b<<endl;; return a+b; }*/ ll fun() { memset(dp, 0.0, sizeof(dp)); dp[0][0] = 1.0; for (int i = 1; i <= n; i++) { dp[i][0] = (1 - v[i - 1]) * dp[i - 1][0]; } for (int i = 1; i <= n; i++) { dp[i][i] = (v[i - 1]) * dp[i - 1][i - 1]; } for (int i = 1; i <= n; i++) { for (int j = 1; j < i; j++) { dp[i][j] = (dp[i - 1][j - 1] * v[i - 1]) + (dp[i - 1][j] * (1 - v[i - 1])); } } /* rep(i,0,n+1) { rep(j,0,n+1) { cout<<dp[i][j]<<" "; } cout<<endl; }*/ double ans = 0.0; for (int i = (n / 2) + 1; i <= n; i++) ans += dp[n][i]; return ans; } int main() { FASTIO cin >> n; rep(i, 0, n) cin >> v[i]; double ans = fun(); cout << fixed << setprecision(12) << ans; return 0; }
#include <bits/stdc++.h> using namespace std; #define FASTIO \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL); #define ll double #define vi vector<ll> #define all(a) (a).begin(), (a).end() #define rep(i, a, b) for (int i = a; i < b; i++) #define tr(it, a) for (auto it = a.begin(); it != a.end(); it++) #define pb push_back #define endl "\n" const int MAX = 3000 + 3; // const int mod=1e9+7; int n; vi v(MAX); double dp[MAX][MAX]; /* ll fun(int i,int k) { if(i==n && k<=n/2) return 0; if(i==n && k>n/2) return 1; if(dp[i][k]>=0) return dp[i][k]; ll a=v[i]*fun(i+1,k+1); ll b=(1-v[i])*fun(i+1,k); dp[i][k]=a+b; //cout<<a+b<<endl;; return a+b; }*/ ll fun() { memset(dp, 0.0, sizeof(dp)); dp[0][0] = 1.0; for (int i = 1; i <= n; i++) { dp[i][0] = (1 - v[i - 1]) * dp[i - 1][0]; } for (int i = 1; i <= n; i++) { dp[i][i] = (v[i - 1]) * dp[i - 1][i - 1]; } for (int i = 1; i <= n; i++) { for (int j = 1; j < i; j++) { dp[i][j] = (dp[i - 1][j - 1] * v[i - 1]) + (dp[i - 1][j] * (1 - v[i - 1])); } } /* rep(i,0,n+1) { rep(j,0,n+1) { cout<<dp[i][j]<<" "; } cout<<endl; }*/ double ans = 0.0; for (int i = (n / 2) + 1; i <= n; i++) ans += dp[n][i]; return ans; } int main() { FASTIO cin >> n; rep(i, 0, n) cin >> v[i]; double ans = fun(); cout << fixed << setprecision(12) << ans; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define INF 1000010000 #define nl '\n' #define pb push_back #define ppb pop_back #define mp make_pair #define fi first #define se second #define pii pair<int, int> #define pdd pair<double, double> #define all(c) (c).begin(), (c).end() #define SORT(c) sort(all(c)) #define sz(c) (c).size() #define rep(i, n) for (int i = 0; i < n; ++i) #define repi(i, n) for (int i = 1; i <= n; ++i) #define repn(i, n) for (int i = n - 1; i >= 0; --i) #define repf(j, i, n) for (int j = i; j < n; ++j) #define die(s) \ { std::cout << s << nl; } #define dier(s) \ { \ std::cout << s; \ return 0; \ } #define dbg(var) \ { std::cout << #var << " = " << var << nl; } #define vi vector<int> typedef long long ll; using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.precision(11); cout.setf(ios::fixed); int n; cin >> n; vector<vector<double>> dp(n + 1, vector<double>(n)); dp[0][0] = 1.; repi(i, n) { double p; cin >> p; rep(j, i + 1) { dp[i][j] = (j > 0 ? dp[i - 1][j - 1] * p : 0.) + dp[i - 1][j] * (1. - p); } } double ans = 0.; repf(i, 1 + n / 2, n + 1) ans += dp[n][i]; cout << ans << endl; return 0; }
#include <bits/stdc++.h> #define INF 1000010000 #define nl '\n' #define pb push_back #define ppb pop_back #define mp make_pair #define fi first #define se second #define pii pair<int, int> #define pdd pair<double, double> #define all(c) (c).begin(), (c).end() #define SORT(c) sort(all(c)) #define sz(c) (c).size() #define rep(i, n) for (int i = 0; i < n; ++i) #define repi(i, n) for (int i = 1; i <= n; ++i) #define repn(i, n) for (int i = n - 1; i >= 0; --i) #define repf(j, i, n) for (int j = i; j < n; ++j) #define die(s) \ { std::cout << s << nl; } #define dier(s) \ { \ std::cout << s; \ return 0; \ } #define dbg(var) \ { std::cout << #var << " = " << var << nl; } #define vi vector<int> typedef long long ll; using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.precision(11); cout.setf(ios::fixed); int n; cin >> n; vector<vector<double>> dp(n + 1, vector<double>(n + 1)); dp[0][0] = 1.; repi(i, n) { double p; cin >> p; rep(j, i + 1) { dp[i][j] = (j > 0 ? dp[i - 1][j - 1] * p : 0.) + dp[i - 1][j] * (1. - p); } } double ans = 0.; repf(i, 1 + n / 2, n + 1) ans += dp[n][i]; cout << ans << endl; return 0; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int tar = (n - 1) / 2 + 1; vector<double> pn(tar + 1); for (int i = 0; i < n; ++i) cin >> pn[i]; vector<double> dp(n, 0); dp[0] = 1; for (int i = 0; i < n; ++i) for (int j = min(i + 1, tar); j >= 0; --j) { if (j == tar) dp[j] = dp[j] + dp[j - 1] * pn[i]; else if (j != 0) dp[j] = dp[j] * (1 - pn[i]) + dp[j - 1] * pn[i]; else dp[j] = dp[j] * (1 - pn[i]); } printf("%.10f\n", dp[tar]); }
#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; int tar = (n - 1) / 2 + 1; vector<double> pn(3000); for (int i = 0; i < n; ++i) cin >> pn[i]; vector<double> dp(n, 0); dp[0] = 1; for (int i = 0; i < n; ++i) for (int j = min(i + 1, tar); j >= 0; --j) { if (j == tar) dp[j] = dp[j] + dp[j - 1] * pn[i]; else if (j != 0) dp[j] = dp[j] * (1 - pn[i]) + dp[j - 1] * pn[i]; else dp[j] = dp[j] * (1 - pn[i]); } printf("%.10f\n", dp[tar]); }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; #define rep(i, j, k) for (int i = (int)j; i <= (int)k; i++) #define debug(x) cerr << #x << ":" << x << endl const int maxn = (int)1e6 + 5; double p[maxn], dp[1004][1004], ans; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; rep(i, 1, n) cin >> p[i]; dp[0][0] = 1; rep(i, 1, n) rep(j, 0, i) { dp[i][j] = dp[i - 1][j] * (1 - p[i]) + (j > 0 ? dp[i - 1][j - 1] * p[i] : 0); // debug(i),debug(dp[i][j]); } rep(j, 0, n) { if (j > n - j) ans += dp[n][j]; } // cout<<ans<<endl; printf("%.20lf", ans); } /* 3 0.30 0.60 0.80 head>tail 的概率 dp[i][#head] dp[i][j]=dp[i-1][j] dp[i-1][j-1] O(1)计算 最后求和 */
#include <bits/stdc++.h> using namespace std; #define rep(i, j, k) for (int i = (int)j; i <= (int)k; i++) #define debug(x) cerr << #x << ":" << x << endl const int maxn = (int)1e6 + 5; double p[maxn], dp[3004][3004], ans; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; rep(i, 1, n) cin >> p[i]; dp[0][0] = 1; rep(i, 1, n) rep(j, 0, i) { dp[i][j] = dp[i - 1][j] * (1 - p[i]) + (j > 0 ? dp[i - 1][j - 1] * p[i] : 0); // debug(i),debug(dp[i][j]); } rep(j, 0, n) { if (j > n - j) ans += dp[n][j]; } // cout<<ans<<endl; printf("%.20lf", ans); } /* 3 0.30 0.60 0.80 head>tail 的概率 dp[i][#head] dp[i][j]=dp[i-1][j] dp[i-1][j-1] O(1)计算 最后求和 */
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p03168
C++
Runtime Error
#include <bits/stdc++.h> using namespace std; // #define PRAGMA 448 #ifdef PRAGMA #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #endif #ifdef LUCARIO #define deb(...) fprintf(stderr, __VA_ARGS__) #define deb1(x) cerr << #x << " = " << x << endl #else #define deb(...) 0 #define deb1(x) 0 #endif typedef int intt; typedef pair<long long, long long> pll; typedef pair<int, int> pii; #define FIN \ ios::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define ll long long #define ld long double #define int long long #define pb push_back #define bs binary_search #define up upper_bound #define fs first #define sd second #define mp make_pair #define endl "\n" #define fore(i, a, b) for (ll i = a; i < b; i++) #define rfore(i, a, b) for (ll i = a - 1; i >= b; i--) #define forev(a, b) fore(i, 0, b) cout << a[i] << " "; #define ing(g, u, v) \ g[u].pb(v); \ g[v].pb(u); #define ingp(g, u, v, c) (g[u].pb({v, c}); g[v].pb({u, c});) #define mm(a, b) memset(a, b, sizeof a) #define ALL(a) a.begin(), a.end() #define SZ(n) ((ll)(n).size()) #define sfind(s, t) (s.find(t) != string::npos) #define infll (ll)1e15 #define infi (int)(1e9 + 1) #define PI 3.14159265359 #define mod (ll)(1e9 + 7) #define eps 1e-6 ll gcd(ll a, ll b) { return b == 0 ? a : gcd(b, a % b); } ll lcm(ll a, ll b) { return a * (b / gcd(a, b)); } int n, m; ld a[1001]; ld dp[3001][3001]; double res; ld solve(int i, int j) { if (i == n) return (j > n / 2); ld &r = dp[i][j]; if (r >= 0) return r; r = 0; r += solve(i + 1, j + 1) * a[i] + solve(i + 1, j) * (1 - a[i]); return r; } int32_t main(int32_t argc, char const *argv[]) { FIN; fore(i, 0, 3001) { fore(j, 0, 3001) { dp[i][j] = -1; } } cin >> n; fore(i, 0, n) cin >> a[i]; cout << setprecision(16) << solve(0, 0) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; // #define PRAGMA 448 #ifdef PRAGMA #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #endif #ifdef LUCARIO #define deb(...) fprintf(stderr, __VA_ARGS__) #define deb1(x) cerr << #x << " = " << x << endl #else #define deb(...) 0 #define deb1(x) 0 #endif typedef int intt; typedef pair<long long, long long> pll; typedef pair<int, int> pii; #define FIN \ ios::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0); #define ll long long #define ld long double #define int long long #define pb push_back #define bs binary_search #define up upper_bound #define fs first #define sd second #define mp make_pair #define endl "\n" #define fore(i, a, b) for (ll i = a; i < b; i++) #define rfore(i, a, b) for (ll i = a - 1; i >= b; i--) #define forev(a, b) fore(i, 0, b) cout << a[i] << " "; #define ing(g, u, v) \ g[u].pb(v); \ g[v].pb(u); #define ingp(g, u, v, c) (g[u].pb({v, c}); g[v].pb({u, c});) #define mm(a, b) memset(a, b, sizeof a) #define ALL(a) a.begin(), a.end() #define SZ(n) ((ll)(n).size()) #define sfind(s, t) (s.find(t) != string::npos) #define infll (ll)1e15 #define infi (int)(1e9 + 1) #define PI 3.14159265359 #define mod (ll)(1e9 + 7) #define eps 1e-6 ll gcd(ll a, ll b) { return b == 0 ? a : gcd(b, a % b); } ll lcm(ll a, ll b) { return a * (b / gcd(a, b)); } int n, m; ld a[3001]; ld dp[3001][3001]; double res; ld solve(int i, int j) { if (i == n) return (j > n / 2); ld &r = dp[i][j]; if (r >= 0) return r; r = 0; r += solve(i + 1, j + 1) * a[i] + solve(i + 1, j) * (1 - a[i]); return r; } int32_t main(int32_t argc, char const *argv[]) { FIN; fore(i, 0, 3001) { fore(j, 0, 3001) { dp[i][j] = -1; } } cin >> n; fore(i, 0, n) cin >> a[i]; cout << setprecision(16) << solve(0, 0) << endl; return 0; }
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p03168
C++
Runtime Error
#include <algorithm> #include <cmath> #include <cstring> #include <fstream> #include <iomanip> #include <iostream> #include <iterator> #include <map> #include <numeric> #include <queue> #include <set> #include <stack> #include <stdio.h> #include <string> #include <tuple> #include <unordered_map> #include <unordered_set> #include <vector> #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL) #define foru(i, a, b) for (ll i = a; i < b; i++) #define ford(i, a, b) for (ll i = a; i >= b; i--) #define ain(a, n) \ for (ll i = 0; i < n; i++) \ cin >> a[i] #define aout(a, n) \ for (ll i = 0; i < n; i++) \ cout << a[i] << " " #define M 1000000007 #define mp make_pair #define mt make_tuple #define cend cout << "\n" #define all(x) x.begin(), x.end() #define aout2(a, n, m) \ for (ll i = 0; i < n; i++) { \ for (ll j = 0; j < m; j++) { \ cout << a[i][j] << " "; \ } \ cout << endl; \ } #define ain2(a, n, m) \ for (ll i = 0; i < n; i++) { \ for (ll j = 0; j < m; j++) { \ cin >> a[i][j]; \ } \ } #define ff first #define ss second #define mset(a, b) memset(a, b, sizeof(a)) #ifndef ONLINE_JUDGE #define dbg(a) \ cerr << #a << ": "; \ _print(a); \ cerr << endl; #else #define dbg(a) // No more TLEs #endif using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ldb; typedef vector<int> vi; typedef vector<ll> vll; typedef vector<char> vch; typedef vector<string> vs; typedef set<ll> sll; typedef multiset<ll> msll; typedef pair<ll, ll> pll; typedef vector<pair<ll, ll>> vpll; void _print(ll t) { cerr << t; } void _print(int t) { cerr << t; } void _print(string t) { cerr << t; } void _print(char t) { cerr << t; } void _print(ldb t) { cerr << t; } template <class T, class V> void _print(pair<T, V> p); template <class T> void _print(vector<T> v); template <class T> void _print(set<T> v); template <class T, class V> void _print(map<T, V> v); template <class T, class V> void _print(pair<T, V> p) { cerr << "{"; _print(p.ff); cerr << ","; _print(p.ss); cerr << "}"; } template <class T> void _print(vector<T> v) { cerr << "[ "; for (T i : v) { _print(i); cerr << " "; } cerr << "]"; } template <class T> void _print(set<T> v) { cerr << "[ "; for (T i : v) { _print(i); cerr << " "; } cerr << "]"; } template <class T, class V> void _print(map<T, V> v) { cerr << "[ "; for (auto i : v) { _print(i); cerr << " "; } cerr << "]"; } /*----------------------------- # --- MATH ALGORITHMS --- # * -----------------------------*/ template <class T> T gcd(T a, T b) { while (a != 0) { T temp = a; a = b % a; b = temp; } return b; } template <class T> T egcd(T a, T b, T &x, T &y) { T gcd, xt, yt; if (a == 0) { gcd = b; x = 0, y = 1; } else { gcd = egcd(b % a, a, xt, yt); x = yt - (b / a) * xt; y = xt; } return gcd; } template <class T> T expo(T base, T exp, T mod) { T res = 1; base = base % mod; while (exp > 0) { if (exp & 1) res = (res * base) % mod; exp = exp >> 1; base = (base * base) % mod; } return res; } template <class T> T modinv(T a, T mod) { T x, y; egcd<T>(a, mod, x, y); while (x < 0) x += mod; while (x >= mod) x -= mod; return x; } template <class T> T modinvfermat(T a, T mod) { return expo<T>(a, mod - 2, mod); } template <class T> bool rev(T a, T b) { return a > b; } template <class T> ll maxpower(T a, T b) { ll ans = 0; while (a > 0 && a % b == 0) { ans++; a /= b; } return ans; } template <class T> T mceil(T a, T b) { if (a % b == 0) return a / b; else return a / b + 1; } template <class T> T lcm(T a, T b) { return (a * b) / gcd<T>(a, b); } /*----------------------------- # --- MAIN CODE --- # * -----------------------------*/ int main() { fastio; #ifndef ONLINE_JUDGE freopen("testcase.txt", "r", stdin); freopen("error.txt", "w", stderr); freopen("output.txt", "w", stdout); #endif ll n; cin >> n; vector<vector<ldb>> dp(n + 1, vector<ldb>(n + 1, 0)); vector<ldb> a(n); ain(a, n); dp[1][0] = 1 - a[0]; dp[1][1] = a[0]; ldb prod = 1; foru(i, 0, n) { prod *= (1 - a[i]); dp[i + 1][0] = prod; } foru(i, 2, n + 1) { foru(j, 1, n + 1) { dp[i][j] = dp[i - 1][j] * (1 - a[i - 1]) + dp[i - 1][j - 1] * a[i - 1]; } } ldb ans = 0; // dbg(dp); foru(i, n / 2 + 1, n + 1) { ans += dp[n][i]; } cout << setprecision(10); cout << ans; }
#include <algorithm> #include <cmath> #include <cstring> #include <fstream> #include <iomanip> #include <iostream> #include <iterator> #include <map> #include <numeric> #include <queue> #include <set> #include <stack> #include <stdio.h> #include <string> #include <tuple> #include <unordered_map> #include <unordered_set> #include <vector> #define fastio \ ios_base::sync_with_stdio(false); \ cin.tie(NULL); \ cout.tie(NULL) #define foru(i, a, b) for (ll i = a; i < b; i++) #define ford(i, a, b) for (ll i = a; i >= b; i--) #define ain(a, n) \ for (ll i = 0; i < n; i++) \ cin >> a[i] #define aout(a, n) \ for (ll i = 0; i < n; i++) \ cout << a[i] << " " #define M 1000000007 #define mp make_pair #define mt make_tuple #define cend cout << "\n" #define all(x) x.begin(), x.end() #define aout2(a, n, m) \ for (ll i = 0; i < n; i++) { \ for (ll j = 0; j < m; j++) { \ cout << a[i][j] << " "; \ } \ cout << endl; \ } #define ain2(a, n, m) \ for (ll i = 0; i < n; i++) { \ for (ll j = 0; j < m; j++) { \ cin >> a[i][j]; \ } \ } #define ff first #define ss second #define mset(a, b) memset(a, b, sizeof(a)) #ifndef ONLINE_JUDGE #define dbg(a) \ cerr << #a << ": "; \ _print(a); \ cerr << endl; #else #define dbg(a) // No more TLEs #endif using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ldb; typedef vector<int> vi; typedef vector<ll> vll; typedef vector<char> vch; typedef vector<string> vs; typedef set<ll> sll; typedef multiset<ll> msll; typedef pair<ll, ll> pll; typedef vector<pair<ll, ll>> vpll; void _print(ll t) { cerr << t; } void _print(int t) { cerr << t; } void _print(string t) { cerr << t; } void _print(char t) { cerr << t; } void _print(ldb t) { cerr << t; } template <class T, class V> void _print(pair<T, V> p); template <class T> void _print(vector<T> v); template <class T> void _print(set<T> v); template <class T, class V> void _print(map<T, V> v); template <class T, class V> void _print(pair<T, V> p) { cerr << "{"; _print(p.ff); cerr << ","; _print(p.ss); cerr << "}"; } template <class T> void _print(vector<T> v) { cerr << "[ "; for (T i : v) { _print(i); cerr << " "; } cerr << "]"; } template <class T> void _print(set<T> v) { cerr << "[ "; for (T i : v) { _print(i); cerr << " "; } cerr << "]"; } template <class T, class V> void _print(map<T, V> v) { cerr << "[ "; for (auto i : v) { _print(i); cerr << " "; } cerr << "]"; } /*----------------------------- # --- MATH ALGORITHMS --- # * -----------------------------*/ template <class T> T gcd(T a, T b) { while (a != 0) { T temp = a; a = b % a; b = temp; } return b; } template <class T> T egcd(T a, T b, T &x, T &y) { T gcd, xt, yt; if (a == 0) { gcd = b; x = 0, y = 1; } else { gcd = egcd(b % a, a, xt, yt); x = yt - (b / a) * xt; y = xt; } return gcd; } template <class T> T expo(T base, T exp, T mod) { T res = 1; base = base % mod; while (exp > 0) { if (exp & 1) res = (res * base) % mod; exp = exp >> 1; base = (base * base) % mod; } return res; } template <class T> T modinv(T a, T mod) { T x, y; egcd<T>(a, mod, x, y); while (x < 0) x += mod; while (x >= mod) x -= mod; return x; } template <class T> T modinvfermat(T a, T mod) { return expo<T>(a, mod - 2, mod); } template <class T> bool rev(T a, T b) { return a > b; } template <class T> ll maxpower(T a, T b) { ll ans = 0; while (a > 0 && a % b == 0) { ans++; a /= b; } return ans; } template <class T> T mceil(T a, T b) { if (a % b == 0) return a / b; else return a / b + 1; } template <class T> T lcm(T a, T b) { return (a * b) / gcd<T>(a, b); } /*----------------------------- # --- MAIN CODE --- # * -----------------------------*/ int main() { fastio; ll n; cin >> n; vector<vector<ldb>> dp(n + 1, vector<ldb>(n + 1, 0)); vector<ldb> a(n); ain(a, n); dp[1][0] = 1 - a[0]; dp[1][1] = a[0]; ldb prod = 1; foru(i, 0, n) { prod *= (1 - a[i]); dp[i + 1][0] = prod; } foru(i, 2, n + 1) { foru(j, 1, n + 1) { dp[i][j] = dp[i - 1][j] * (1 - a[i - 1]) + dp[i - 1][j - 1] * a[i - 1]; } } ldb ans = 0; // dbg(dp); foru(i, n / 2 + 1, n + 1) { ans += dp[n][i]; } cout << setprecision(10); cout << ans; }
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p03168
C++
Runtime Error
#include <bits/stdc++.h> #define all(x) x.begin(), x.end() #define ll long long #define pb push_back #define mp make_pair using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector<double> dp(n); dp[0] = 1; for (int i = 0; i < n; ++i) { double p; cin >> p; for (int j = i + 1; j >= 0; --j) { dp[j] = ((j == 0) ? 0 : dp[j - 1] * p) + dp[j] * (1 - p); } } double ans = 0.0; for (int i = 0; i <= n; ++i) { if (i > n - i) ans += dp[i]; } cout << fixed << setprecision(10); cout << ans << endl; }
#include <bits/stdc++.h> #define all(x) x.begin(), x.end() #define ll long long #define pb push_back #define mp make_pair using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector<double> dp(n + 1); dp[0] = 1; for (int i = 0; i < n; ++i) { double p; cin >> p; for (int j = i + 1; j >= 0; --j) { dp[j] = ((j == 0) ? 0 : dp[j - 1] * p) + dp[j] * (1 - p); } } double ans = 0.0; for (int i = 0; i <= n; ++i) { if (i > n - i) ans += dp[i]; } cout << fixed << setprecision(10); cout << ans << endl; }
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