이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MOD = 1e6 + 7;
int a[10005];
int DP[10005];
int mxs[10005];
/*int solve(int N, int K){
//you have N numbers left, and they can start anywhere from 1 - K.
if (DP[N][K] != 0) return DP[N][K];
if (N == 0) return 1;
else{
return DP[N][K] = (((long long) K)*solve(N - 1, K) + solve(N - 1, K + 1))%MOD;
}
}*/
int cnt = 10005;
void evolve(){
for (int i = 0; i < cnt - 1; i++){
DP[i] = ((long long) i)*DP[i] + DP[i + 1];
DP[i] %= MOD;
}
cnt--;
}
int main(){
int N; cin >> N;
for (int i = 0; i < N; i++){
cin >> a[i];
}
for (int i = 0; i < cnt; i++){
DP[i] = 1;
}
ll res = 1;
int mx = 1;
for (int i = 0; i < N; i++){
mxs[i] = mx;
mx = max(mx, a[i]);
}
for (int i = N - 1; i >= 0; i--){
//matches prefix of length i
res += ((ll) a[i] - 1)*DP[mxs[i]];
evolve();
res %= MOD;
}
cout << res << endl;
}
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