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;
const int MOD = 1e9 + 9;
void solve() {
int n, d;
cin >> n >> d;
vector<int> a(n);
int answer = 1, lo = 0;
for(int& v : a) cin >> v;
sort(a.begin(), a.end());
for(int i = 0; i < n; ++i) {
while(a[lo] < a[i] - d) ++lo;
answer = (i - lo + 1ll) * answer % MOD;
}
cout << answer << '\n';
}
int main() {
int t = 1;
ios_base :: sync_with_stdio(false);
cin.tie(0);
//cin >> t;
while(t--) solve();
return 0;
}
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