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;
typedef long long llong;
const int mod = 1e9 + 9;
int n, d;
int A[1000000];
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> d;
for (int i = 0; i < n; ++i) {
cin >> A[i];
}
sort(A, A + n);
int ans = 1;
for (int i = 0; i < n; ++i) {
int x = lower_bound(A, A + n, A[i] - d) - A;
ans = ans * (i + 1ll - x) % mod;
}
printf("%d\n", ans);
return 0;
}
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