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() {
int n,d;
cin >> n >> d;
int arr[n];
for (int i = 0; i<n; i++){
cin >> arr[i];
}
sort(arr,arr+n);
int nxt[n];
for (int i = 0; i<n; i++){
auto it = upper_bound(arr,arr+n,arr[i]+d);
nxt[i] = (it-arr)-i;
}
const int MOD = 1e9+9;
int ans = 1;
for (int i = 0; i<n; i++){
//cout << nxt[i] << " ";
ans *= nxt[i];
ans %= MOD;
}
//cout << "\n\n";
cout << ans;
return 0;
}
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