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
const int mod = 1e9 + 9;
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
int n, d;
cin >> n >> d;
vector<int> arr;
for (int i = 0; i < n; i++) {
int k;
cin >> k;
arr.push_back(k);
}
int res = 1;
sort(arr.begin(), arr.end());
for (int l = 0, r = 0; l < n; l++){
for (; r < n && arr[r] - arr[l] <= d; r++){
res *= (r - l + 1) % mod;
}
}
cout << res << endl;
return 0;
}
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