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 <algorithm>
#include <vector>
#include <set>
#include <queue>
#include <map>
#include <cmath>
#include <iomanip>
#include <cstring>
#include <bitset>
#include <string>
#define ll long long
using namespace std;
ll N, D;
vector<ll> a;
ll MOD = 1e9+9;
int main() {
cin >> N >> D;
a.resize(N);
for (ll i = 0; i < N; i++) {
cin >> a[i];
}
sort(a.begin(), a.end());
ll ans = 1;
for (ll i = 1; i < N; i++) {
ll idx = lower_bound(a.begin(), a.end(), a[i]-D) - a.begin();
ans *= (i-idx+1);
ans %= MOD;
}
cout << ans << endl;
}
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