Submission #110617

#TimeUsernameProblemLanguageResultExecution timeMemory
110617someone_aaCalvinball championship (CEOI15_teams)C++17
70 / 100
38 ms9976 KiB
#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define mp make_pair
using namespace std;
const int maxn = 1100;
const ll mod = 1000007;
int dp[maxn][maxn];
int a[maxn], n;

bool important[maxn];


int main() {
    // dp[i][j] -> If we are given a sequence of arbitrary length and maximum element j,
    // on how many ways can we extend it if we can add exactly i elements
    cin>>n;

    for(int i=1;i<=n;i++) {
        dp[0][i] = 1;
    }

    for(int i=1;i<=n;i++) {
        //cout<<i<<": \n";
        for(int j=1;j<=n;j++) {
            dp[i][j] = j*dp[i-1][j] + dp[i-1][j+1];
            dp[i][j] %= mod;
            //cout<<j<<": "<<dp[i][j]<<"\n";
        }
    }

    int result = 0;
    int maxv = 1;
    for(int i=1;i<=n;i++) {
        cin>>a[i];
        result += (a[i]-1)*(dp[n-i][maxv]); result %= mod;
        maxv = max(maxv, a[i]);
    }
    cout<<(result+1)%mod;
    return 0;
}
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