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