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>
//#include<iostream>
//#include<vector>
using namespace std;
#define _ << ' ' <<
#define pb push_back
#define all(x) begin(x), end(x)
#define mp make_pair
#define f first
#define s second
#define sz(x) int((x).size())
using ll = long long;
using db = long double;
using pl = pair<ll,ll>;
using pi = pair<int,int>;
using str = string;
vector < int > pos[30];
ll mod=1'000'000'000+9;
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
//freopen("diamond.in","r",stdin);
//freopen("diamond.out","w",stdout);
ll n,d;
cin >> n >> d;
vector < ll > a(n);
for(auto &x: a) cin >> x;
sort(all(a));
vector < ll > x(n);
int i=n-1, j=n-1;
while(j>=0 and i>=0){
while(j-1>=0 and a[j-1]+d>=a[i]) j--;
x[i]=i-j;
i--;
}
ll ans=1;
for(int i=0; i<n; i++){
ans=(ans*(x[i]+1))%mod;
}
cout << ans << endl;
}
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