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;
typedef int64_t ll;
#define E '\n'
#define name "main"
#define int ll
const int base = 1e9+9;
const int N = 1e6;
int a[N+13];
int n,k;
signed main(){
ios::sync_with_stdio(0); cin . tie(0);
//freopen(name".INP","r",stdin); freopen(name".OUT","w",stdout);
cin >> n >> k;
for (int i=1; i <= n ; ++i) cin >>a[i];
sort(a+1,a+1+n,greater<int>());
int res = 1;
for (int r =1,l=1; r <= n ; ++r){
while (a[l] - a[r] > k) ++l;
res = res * (r-l+1) % base;
}
cout << res << E;
}
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