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;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
const int M = 1e9 + 9;
int n, d; cin >> n >> d;
vector<int> a(n);
for (int &x : a) {
cin >> x;
}
sort(a.begin(), a.end());
int res = 1;
for (int i = 0, j = 0; i < n; ++i) {
while (a[i] - a[j] > d) {
++j;
}
res = (long long) res * (i - j + 1) % M;
}
cout << res;
return 0;
}
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