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>
#pragma GCC optimize("unroll-loops,no-stack-protector,Ofast")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;
const ll MOD=1e9+9;
const ll MOD2=998244353;
const ll N=1e6+5;
const ld pi=acos(-1);
const ll INF=(1LL<<60);
#define SQ(i) ((i)*(i))
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define setp setprecision
#define lwb lower_bound
#define SZ(_a) (ll)_a.size()
ll n,d,u[N],fac[N],dp[N];
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n>>d;
REP(i,n)cin>>u[i];
sort(u,u+n);
u[n]=INF;
dp[n]=1;
for(int i=n-1,id=n;i>=0;i--){
while(u[id-1]>u[i]+d)--id;
dp[i]=(id-i)*dp[i+1]%MOD;
}
cout<<dp[0]<<"\n";
return 0;
}
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