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;
typedef long long lint;
const int MOD = 1e9 + 9;
const int MAXN = 1e6 + 5;
int A[MAXN];
int main() {
int N, D;
lint ans = 1;
cin >> N >> D;
for(int i = 0; i < N; i++) cin >> A[i];
sort(A, A + N);
int p = 0;
for(int i = 0; i < N; i++) {
while(A[p] < A[i] - D) p++;
ans = ans * (i - p + 1) % MOD;
}
cout << ans;
return 0;
}
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