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;
int main() {
long long n,d, K=1e9+9; cin >> n >> d;
vector<long long> h(n); for (int i=0; i<n; i++) cin >> h[i];
sort(h.begin(), h.end());
vector<long long> dp(n); dp[0] = 1;
for (int i=1; i<n; i++) {
int lo = lower_bound(h.begin(), h.end(), h[i]-d)-h.begin();
long long ok = i-lo;
dp[i] = (dp[i-1]*(ok+1))%K;
}
cout << dp[n-1];
}
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