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;
int blocks[n];
for (int i = 0; i < n; i++) {
cin >> blocks[i];
}
sort(blocks, blocks + n);
int result = 1;
for (int i = 0, j = 0; i < n; i++) {
while (j < n - 1 && blocks[j + 1] - blocks[i] <= d) {
j++;
}
int dist = j - i + 1;
result = (result * 1LL * dist) % MOD;
}
cout << result << endl;
return 0;
}
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