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;
typedef long long ll;
typedef pair<int, int> pii;
#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
const int N = (int)1e4 + 1;
const int MOD = (int)1e6 + 7;
int dp[2][N][2];
int mult(int a, int b){
return (a * 1ll * b) % MOD;
}
void add(int &a, int b){
a += b;
if(a >= MOD) a -= MOD;
}
int main(){
fastIO;
int n;
cin >> n;
dp[0][0][0] = 1;
int a;
int low;
for(int i = 1; i <= n; i ++ ){
cin >> a;
for(int j = 0; j < i ; j ++ ){
add(dp[1][j][1], mult(dp[0][j][1],j));
add(dp[1][j+1][1],dp[0][j][1]);
low = min(j,a-1);
add(dp[1][j][1],mult(dp[0][j][0],low));
if(j >= a)
add(dp[1][j][0],dp[0][j][0]);
if(j + 1 <= a)
add(dp[1][j+1][(j+1)<a],dp[0][j][0]);
}
for(int j = 0 ; j <= i ; j ++ ){
dp[0][j][0]=dp[1][j][0];
dp[0][j][1]=dp[1][j][1];
dp[1][j][0]=0;
dp[1][j][1]=0;
}
}
int ans = 0;
for(int j = 1; j <= n; j ++ ){
ans += dp[0][j][0] + dp[0][j][1];
ans %= MOD;
}
cout << ans << "\n";
return 0;
}
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