Submission #1231191

#TimeUsernameProblemLanguageResultExecution timeMemory
1231191luka_zecevicZapina (COCI20_zapina)C++20
55 / 110
1093 ms596 KiB
#include "bits/stdc++.h" #define FAST ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0) using namespace std; const int N = 355; int mod = 1e9 + 7; int fact[N]; int dp[N][N][2]; int stepen(int a, int n) { if(n == 0) return 1; if(n % 2 == 0) return stepen((long long)a * a % mod, n / 2); return (long long)stepen(a, n - 1) * a % mod; } int bk(int n, int k) { return (long long)fact[n] * stepen((long long)fact[n - k] * fact[k] % mod, mod - 2) % mod; } int sum(int a, int b) { return (a + b) % mod; } int mult(int a, int b) { return (long long)a * b % mod; } int main() { FAST; fact[0] = 1; for(int i = 1; i < N; i++) fact[i] = (long long)fact[i - 1] * i % mod; int n; cin >> n; dp[0][0][0] = 1;// i, j, k = broj ljudi, broj zadataka, 0/1 - da li sam imao nekog srecnog for(int i = 1; i <= n; i++) { for(int j = 0; j <= n; j++) { for(int k = 0; k <= j; k++) { dp[i][j][1] = sum(dp[i][j][1], mult(dp[i - 1][j - k][1], bk(n - (j - k), k))); if(k == i) { dp[i][j][1] = sum(dp[i][j][1], mult(dp[i - 1][j - k][0], bk(n - (j - k), k))); continue; } dp[i][j][0] = sum(dp[i][j][0], mult(dp[i - 1][j - k][0], bk(n - (j - k), k))); } } } // for(int i = 1; i <= n; i++) // { // for(int j = 1; j <= n; j++) cout << "{ " << dp[i][j][0] << " , " << dp[i][j][1] << " } "; // cout << "\n"; // } cout << dp[n][n][1] << "\n"; return 0; }
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