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>
#define ll long long
#define pb push_back
#define mp make_pair
using namespace std;
const int maxn = 1100;
const ll mod = 1000007;
int dp[maxn][maxn];
int a[maxn], n;
bool important[maxn];
int main() {
cin>>n;
int maxv = 0;
for(int i=1;i<=n;i++) {
cin>>a[i];
if(a[i] > maxv) {
maxv = a[i];
important[i] = true;
}
}
dp[1][1] = 1;
for(int i=2;i<=n;i++) {
for(int j=1;j<=n;j++) {
dp[i][j] = dp[i-1][j-1] + 1LL * j * dp[i-1][j];
dp[i][j] %= mod;
}
}
int j = maxv;
int result = 0;
for(int i=0;i<maxv;i++) {
result += dp[n][i];
result %= mod;
}
for(int i=n;i>=1;i--) {
if(important[i]) {
// don't add anything, go to state (i-1, a[i]-1)
j = a[i] - 1;
}
else {
// add extra, go to state (i-1, j)
result += dp[i-1][j-1]; result %= mod;
result += (a[i]-1)*(dp[i-1][j]); result %= mod;
}
}
result++;
result%=mod;
cout<<result;
return 0;
}
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