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 F first
#define S second
#define pb push_back
#define ppb pop_back
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define FORR(i,a,b) for(int i=a;i>=b;i--)
#define debug(x) cerr<<#x<<" : "<<x<<'\n'
typedef long long ll;
typedef long double ld;
typedef pair<ll , ll> pii;
typedef pair<ll , pii> piii;
const ll MX=1e6+5, MOD=1e9+9, inf = 1e9+5;
ll n, a[MX], d;
int main(){
ios::sync_with_stdio(false);cin.tie(NULL);
cin>>n>>d;
FOR(i, 1, n) cin>>a[i];
sort(a+1, a+n+1);
ll ans=1;
int it=1;
FOR(i, 2, n){
while(a[it]+d<a[i]) it++;
ans = (ans*(i-it+1))%MOD;
}
cout<<ans<<'\n';
}
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