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>
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define debug(x) cout << "Line " << __LINE__ << ", " << #x << " is " << x << endl
#define all(x) x.begin(), x.end()
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define ll long long
#define ull unsigned long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define ld long double
#define nl endl
#define tb '\t'
#define sp ' '
#define sqr(x) (x)*(x)
#define arr3 array<int, 3>
using namespace std;
const int MX=1000005, MOD=1000000009, BLOCK=160, INF=2e9+7, LG=62;
const ll INFF=1000000000000000007;
const ld ERR=1e-3, pi=3.14159265358979323846;
ll N, K, A[MX], ans=1;
int main(){
fastio;
cin >> N >> K;
for(int i=1; i<=N; i++){
cin >> A[i];
}
sort(A+1, A+N+1, greater<ll>());
int le=1, ri;
for(ri=2; ri<=N; ri++){
while(A[le]-A[ri]>K)
le++;
ans=ans*(ri-le+1)%MOD;
}
cout << ans << nl;
}
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