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>
using namespace std;
int N;
int arr[10005];
long long dp[2][10005];
const int MOD = 1000007;
int solve(int n, int m, bool border){
if(n == N+1){
return 1;
}
if(!border && n%2 == 0 && dp[n/2][m]){
return dp[n/2][m];
}
int lim = m+1;
if(border){
lim = arr[n];
}
long long ans = 1LL * (lim-1) * solve(n+1, m, 0);
ans += solve(n+1, max(lim, m), border);
ans %= MOD;
if(!border && n%2 == 0){
dp[n/2][m] = ans;
}
return ans;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> N;
for(int i = 1; i<=N; i++){
cin >> arr[i];
dp[1][i] = 1;
}
long long ans = 0;
for(int i = N; i; i--){
long long m = *max_element(arr, arr+i);
ans += min(1LL*arr[i]-1, m) * dp[1][m];
for(int j = 1; j<N; j++){
dp[0][j] = 1LL * j * dp[1][j] + dp[1][j+1];
dp[0][j] %= MOD;
dp[1][j] = dp[0][j];
}
ans %= MOD;
}
cout << ans+1;
}
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