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;
long long N, A[10005], dp[2][10005], most[10005], p = 1000007;
int main() {
ios_base::sync_with_stdio(false); cin.tie(NULL);
cin >> N;
most[0] = 0;
for (long long i = 1; i <= N; ++i) {
cin >> A[i];
most[i] = max(most[i-1],A[i]);
}
for (long long i = 1; i <= N+1; ++i) dp[1][i] = 1;
long long ans = 1;
for (long long i = N; i > 0; --i) {
for (long long j = 1; j <= i; ++j) dp[0][j] = (dp[1][j] * j + dp[1][j+1]) % p;
ans = (ans + dp[1][most[i-1]] * min(most[i-1],A[i]-1)) % p;
for (long long j = most[i-1]+1; j < A[i]; ++j) ans = (ans + dp[1][j]) % p;
swap(dp[0],dp[1]);
}
cout << ans;
return 0;
}
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