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;
#define int long long
const int M = 1e9+9;
int32_t main() {
ios::sync_with_stdio(0), cin.tie(0);
int N, D, res = 1, j = 0;
cin >> N >> D;
int a[N]; for(int &i : a) cin >> i;
sort(a, a + N);
for(int i = 0; i < N; ++i) {
while(a[j] + D < a[i]) ++j;
(res *= i - j + 1) %= M;
}
cout << res;
}
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