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 <iostream>
#include <algorithm>
#include <vector>
using namespace std;
const int mod = 1e9+9;
int main()
{
int n, d; cin >> n >> d;
vector<int> arr(n);
vector<long long> dp(n);
dp[0] = 1;
for (int i = 0; i < n; i++)
cin >> arr[i];
sort(arr.begin(), arr.end());
for (int r = 1, l = 0; r < n; r++) {
while (l < r && arr[l] + d < arr[r])
l++;
dp[r] = ((r-l+1) * dp[r-1]) % mod;
dp[r] %= mod;
}
cout << dp[n-1];
}
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