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
#define all(x) begin(x), end(x)
#define sz(x) (int) (x).size()
const int mxN=1e7,MOD=1e9+9;
int N,D,a[mxN],c[mxN],res=1;
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin>>N>>D;
for (int i=0; i<N; i++)
cin>>a[i];
sort(a,a+N);
for (int l=0,r=0; l<N; l++)
for (; r<N && a[r]-a[l]<=D; r++)
res=res*(r-l+1)%MOD;
cout<<res;
return 0;
}
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