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 N 1005
#define mod 1000007
using namespace std;
long long dp[N][N];
int arr[N];
void solve(){
int n;
cin >> n;
for(int i= 0;i<N;i++)dp[0][i] = 1;
for(int i=1;i<N;i++){
for(int j=1;j<N;j++){
dp[i][j] = (dp[i-1][j] * j) % mod;
if(j != N-1){
dp[i][j] = (dp[i][j] + dp[i-1][j+1]) % mod;
}
}
}
int maxi = 0;
long long ans = 1;
for(int i=1;i<=n;i++){
cin >> arr[i];
if(arr[i] != 1){
ans = (ans + dp[n-i][maxi] * (arr[i]-1))%mod;
}
maxi = max(maxi,arr[i]);
}
cout << ans;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
#ifdef Local
freopen("in.txt","r",stdin);
freopen("out.txt","w",stdout);
#endif
int t=1;
//cin>>t;
while(t--){
solve();
}
#ifdef Local
cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
#endif
}
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