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 long long MOD = 1e9+9;
int main() {
ios_base::sync_with_stdio(false); cin.tie(nullptr);
int N, D;
cin >> N >> D;
vector<int> v(N);
for(int i = 0; i < N; i++) {
cin >> v[i];
}
sort(v.begin(), v.end());
long long ans = 1;
for(int l = 0, r = 0; l < N; l++) {
while(r < N && v[r] <= v[l] + D) {
r++;
}
ans = (ans*(r - l)) % MOD;
}
cout << ans << '\n';
}
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