This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize ("Ofast")
#pragma GCC target ("avx2")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using vl = vector<ll>;
#define pb push_back
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define lb lower_bound
#define ub upper_bound
using pi = pair<int,int>;
#define f first
#define s second
#define mp make_pair
const int MX = 10005;
const int MOD = (int) (1e6 + 7);
const ll INF = (ll) 1e18;
ll dp[2][MX];
int main(){
#ifdef mikey
freopen("a.in", "r", stdin);
#endif
ios::sync_with_stdio(false);
cin.tie(0);
int n; cin >> n;
ll ans = 0;
vl a(n);
vl pref(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
pref[i] = a[i];
if (i) pref[i] = max(pref[i], pref[i - 1]);
}
for (int i = 1; i <= n; i++) dp[0][i] = 1;
for (int i = 0; i < n; i++) {
if (i) {
for (int j = 1; j < n; j++) {
dp[i & 1][j] = (dp[(i & 1) ^ 1][j] * j) % MOD;
dp[i & 1][j] += dp[(i & 1) ^ 1][j + 1];
while (dp[i & 1][j] > MOD) dp[i & 1][j] -= MOD;
}
}
int pos = n - (i + 1);
ans = (ans + (ll) (a[pos] - 1) * dp[i & 1][(pos == 0 ? 0 : pref[pos - 1])]) % MOD;
}
cout << (ans + 1) % MOD << '\n';
}
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