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 10001
using namespace std;
typedef long long ll;
int n, k, v[N], tot, used[N], mod = 1000007;
int dp[2][N], pref[N];
int solve(int i, int k)
{
if(i > n) return 1;
if(dp[i][k] != -1) return dp[i][k];
ll A = (((ll)solve(i + 1, k) * (ll)k) % mod + solve(i + 1, k + 1) % mod)%mod;
return dp[i][k] = A;
}
inline int pos()
{
set<int> add;
for(int i = 1; i <= n; i++)
{
pref[i] = add.size();
add.insert(v[i]);
}
int A = (n + 1)%2, B = n%2;
for(int i = n + 1; i >= 1; i--)
{
if(i >= 2)
{
for(int k = i; k >= 1; k--)
{
if(i > n) dp[A][k] = 1;
else
{
dp[A][k] = ((ll)k * dp[B][k])%mod;
dp[A][k] += dp[B][k + 1];
if(dp[A][k] >= mod) dp[A][k] -= mod;
}
}
}
if(i <= n)
{
tot = (tot + dp[B][ pref[i] ]*(v[i] - 1LL))%mod;
}
swap(A, B);
}
return (tot + 1)%mod;
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
cin>>n;
for(int i = 1; i <= n; i++) cin>>v[i];
cout<<pos()<<"\n";
}
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