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>
using namespace std;
const int MOD = 1e9 + 9;
int main()
{
int N, D;
cin >> N >> D;
vector<int> arr(N);
for(int i = 0; i < N; i++)
cin >> arr[i];
sort(arr.begin(), arr.end());
int sol = 1, r = 0;
for(int l = 0; l < N; l++)
{
while(r < N - 1 && arr[r+1] <= arr[l] + D) r++;
int dist = r - l + 1;
sol = (sol * 1LL * dist) % MOD;
}
cout << sol;
}
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