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;
#define int long long
signed main() {
ios_base::sync_with_stdio(false); cin.tie(0);
const int mod = 1e9+9;
int n, d; cin >> n >> d;
vector<int> a(n); for (auto &x : a) cin >> x;
sort(a.begin(), a.end());
int ans = 1;
for (int l = 0, r = 0; l < n; l++) {
while (r + 1 < n && a[r + 1] - a[l] <= d) r++;
ans = ans * (r - l + 1) % mod;
}
cout << ans << "\n";
return 0;
};
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