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;
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
int n, d;
cin >> n >> d;
vector<int> a(n), ans(n), b(n);
for(int i = 0; i < n; ++i)
cin >> a[i];
sort(begin(a), end(a));
int p = 0;
for(int i = 1; i < n; ++i){
while(a[p] + d < a[i])
++p;
b[i] = i - p;
}
ans[0] = 1;
for(int i = 1; i < n; ++i)
ans[i] = (ans[i-1] * (long long)(b[i]+1)) % mod;
cout << ans.back();
}
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