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 pb push_back
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define debug(x) cerr << #x << " : " << x << '\n'
using namespace std;
typedef long long ll;
typedef long double ld;
typedef string str;
typedef pair<ll, ll> pll;
const ll Mod = 1000000009LL;
const int N = 1e6 + 10;
const ll Inf = 2242545357980376863LL;
const ll Log = 30;
int a[N];
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n, d;
cin >> n >> d;
for(int i = 0; i < n; i++) cin >> a[i];
sort(a, a + n);
ll ans = 1;
for(int i = 0; i < n; i++){
ans = (ans * (i + 1 - (lower_bound(a, a + n, a[i] - d) - a) )) % Mod;
}
cout << ans << '\n';
return 0;
}
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