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::sync_with_stdio(false);
cin.tie(nullptr);
int mod = 1000000009, n, d; cin >> n >> d;
vector<int> blocks(n);
for (int i = 0; i < n; i++) {
cin >> blocks[i];
}
sort(blocks.begin(), blocks.end());
int ans = 1; int j = 0;
for (int i = 0; i < n; i++) {
while (j < n && blocks[i] + d >= blocks[j]) {
j++;
}
ans = (ans * (j-i) % mod) % mod;
}
cout << ans << '\n';
return 0;
}
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