Submission #126060

#TimeUsernameProblemLanguageResultExecution timeMemory
126060Mahmoud_AdelCalvinball championship (CEOI15_teams)C++14
100 / 100
279 ms888 KiB
#include <bits/stdc++.h> using namespace std; #define f first #define s second typedef long long ll; const int N = 1e4+5, mod = 1e6+7; ll n, dp[2][N][2], a[N]; ll sol(int i, ll j, int bit) { /* if(i == n) return 1; ll &ret = dp[i][j][bit]; if(ret != -1) return ret; if(bit) ret = j*sol(i+1, j, 1)%mod + sol(i+1, j+1, 1)%mod; else ret = (a[i]-1)*sol(i+1, max(j, a[i]-1), 1)%mod + sol(i+1, max(j, a[i]), 0)%mod; return ret%mod; */ for(int i=0; i<=n; i++) dp[n%2][i][0] = dp[n%2][i][1] = 1LL; for(int i=n-1; i>=0; i--) { for(ll j=0; j<=i; j++) { dp[i%2][j][1] = j*dp[(i+1)%2][j][1] + dp[(i+1)%2][j+1][1], dp[i%2][j][1] %= mod; dp[i%2][j][0] = (a[i]-1)*dp[(i+1)%2][max(j, a[i]-1)][1] + dp[(i+1)%2][max(j, a[i])][0]; dp[i%2][j][0] %= mod; } } return dp[0][0][0]%mod; } int main() { memset(dp, -1, sizeof dp); cin >> n; for(int i=0; i<n; i++) cin >> a[i]; cout << sol(0, 0, 0) << endl; }
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