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;
using ll = long long;
const int MOD = 1000000009;
int n, D;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> D;
vector<int> sz(n);
for (int &x : sz)
cin >> x;
sort(sz.begin(), sz.end());
ll ans = 1;
int l = 0;
for (int r=1; r<n; ++r) {
while (sz[l] < sz[r]-D)
++l;
int spots = r-l;
ans = ans * (spots+1) % MOD;
}
cout << ans << '\n';
}
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