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 = 20;
const ll mod = 1000007;
int dp[maxn][maxn];
int n, arr[maxn];
int count_pref(int st, int maxv, int limit) {
memset(dp, 0, sizeof(dp));
dp[st][maxv] = 1;
if(maxv > limit) return 0;
for(int i=st+1;i<=n;i++) {
for(int j=maxv;j<=limit;j++) {
ll temp = 1LL * (j * dp[i-1][j])%mod + dp[i-1][j-1];
temp %= mod;
dp[i][j] = temp;
}
}
ll result = 0LL;
for(int i=1;i<=limit;i++) {
result += dp[n][i];
result %= mod;
}
return result;
}
int main() {
cin>>n;
int maxv = 0;
for(int i=1;i<=n;i++) {
cin>>arr[i];
maxv = max(maxv, arr[i]);
}
int value = 1;
ll result = 0LL;
for(int i=2;i<=n;i++) {
for(int j=1;j<arr[i];j++) {
value = max(value, j);
result += count_pref(i, value, maxv);
result %= mod;
}
value = max(value, arr[i]);
}
cout<<(result+1)%mod<<"\n";
return 0;
}
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