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 200005
using namespace std;
int a[N];
int maxi[N];
const int mod = 1000007;
void solve(){
int n;
cin >> n;
for(int i = 1;i<=n;i++){
cin >> a[i];
maxi[i] = max(maxi[i-1],a[i]);
}
vector<int> dp(n+1,1);
int ans = 0;
for(int i = n;i>=1;i--){
ans = (ans + (long long)(a[i] - 1)*dp[maxi[i-1]])%mod;
vector<int> ndp(n+1,0);
for(int j = 1;j<=n;j++){
ndp[j] = (long long)dp[j] * j%mod;
if(j+1 <= n)
ndp[j] = (ndp[j] + dp[j+1])%mod;
}
dp = ndp;
}
cout << (ans+1)%mod;
}
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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