This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// IOI 2021
#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define ends ' '
#define die(x) return cout << x << endl, 0
#define all(v) v.begin(), v.end()
#define sz(x) (int)(x.size())
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) { cerr << ends << H; debug_out(T...); }
#define debug(...) cerr << "{" << #__VA_ARGS__ << "}:", debug_out(__VA_ARGS__)
typedef long long ll;
typedef pair<int, int> pii;
const int INF = 1e9;
const ll MOD = 1e6 + 7;
////////////////////////////////////////////////////////////////////
const int N = 1e4 + 5;
int A[N], MX[N], DP[N];
int main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
mt19937 Rnd(time(0));
int n, ans = 1; cin >> n;
for (int i = 0; i < n; i++) cin >> A[i], MX[i + 1] = max(MX[i], A[i]);
for (int i = 0; i <= n; i++) DP[i] = 1;
for (int i = n - 1; i >= 1; i--) {
ans = (ans + 1LL * (A[i] - 1) * DP[MX[i]] % MOD) % MOD;
for (int j = 1; j <= n; j++) DP[j] = (DP[j + 1] + 1LL * j * DP[j] % MOD) % MOD;
}
cout << ans << endl;
return 0;
}
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