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 <vector>
#include <algorithm>
using namespace std;
const int MOD = 1e9 + 9;
int main() {
long long n, d;
cin >> n >> d;
vector<long long> arr(n);
for (int i = 0; i < n; i++) {
cin >> arr[i];
}
sort(arr.begin(), arr.end()); // sort the blocks
int r = 0;
long long sol = 1;
for (int i = 0; i < n; i++) {
while (r + 1 < n && arr[r + 1] <= d + arr[i]) {
r++;
}
sol *= ((long long)r - i + 1);
sol %= MOD;
}
cout << sol << endl;
return 0;
}
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