This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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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