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;
long long MOD = 1e9+9;
int main() {
ios::sync_with_stdio(false);
cin.tie(NULL);
int n, d;
cin >> n >> d;
vector<int> a(n), b(n);
for (int& i: a) cin >> i;
sort(a.begin(), a.end());
int k = 0;
for (int i = 0; i < n; i++) {
while (a[k] + d < a[i]) {
k++;
}
b[i] = n-k-1;
}
for (int i = 0; i < n; i++) {
b[i] = b[i] - (n-i) + 1;
b[i]++;
}
long long ans = 1;
for (int i = 0; i < n; i++) {
ans *= max(b[i], 1);
ans %= MOD;
}
cout << ans << endl;
return 0;
}
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