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 int
#define ins insert
#define pb push_back
#define endl '\n'
#define putr(x) cout<<x<<endl;return;
#define all(x) x.begin(),x.end()
#define _ << " " <<
mt19937 rng(time(0));
const int mod = 1e9 +9,
sze = 2e5 +23,
inf = INT_MAX,
LL = 20;
void _0x0(){
int n,d;
cin>>n>>d;
vector<int> arr(n);
for(int i=0;i<n;i++){cin>>arr[i];}
sort(all(arr));
int ans=1;
int l=0;
int r = 0;
while(l<n){
while(r<n && arr[r]-arr[l]<=d){
r++;
}
ans=(ans * (r -l )) % mod;
l++;
}
putr(ans);
}
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
int tt = 1;
// cin>>tt;
while(tt--){
_0x0();
}
return 0;
}
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