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 FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
const ll MOD = 1e9 + 9;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, d;
cin >> n >> d;
vector<int> a(n);
FOR(i, 0, n) cin >> a[i];
sort(a.begin(), a.end());
ll ans = 1;
int ptr = 0;
FOR(i, 0, n) {
while (a[i] - a[ptr] > d) ptr++;
ans = (ans * (i - ptr + 1)) % MOD;
}
cout << ans;
return 0;
}
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