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 <iostream>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MOD = 1e9 + 9;
int main() {
int N; int D; cin >> N >> D; int dp[N + 1]; int top[N + 1]; int a[N + 1];
a[0] = 0; dp[0] = 1; top[0] = 0;
for(int i = 1; i<=N; i++){
cin >> a[i]; dp[i] = 1; top[i] = 0;
}
sort(a, a + N);
int l = 1;
for(int r = 1; r<=N; r++){
while(a[r] - a[l] > D){
l++;
}
top[r] = r - l;
}
for(int i = 1; i<=N; i++){
dp[i] = (dp[i - 1] * 1LL * (1LL * top[i] + 1LL* 1)) % MOD;
}
cout << dp[N] << '\n';
return 0;
}
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