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>
using namespace std;
#define fast ios::sync_with_stdio(0);cin.tie(0);
#define s second
#define f first
typedef long long ll;
const ll MOD = 1e9 + 9;
const ll LOGN = 21;
const ll MAXN = 1e6 + 100;
vector<int> A;
int plc[MAXN];
int main() {
fast
int N, D;
cin >> N >> D;
A = vector<int>(N);
for (int i = 0; i < N; i++)
cin >> A[i];
sort(A.begin(), A.end());
for (int i = 0; i < N; i++)
plc[i] = upper_bound(A.begin(), A.end(), A[i] + D) - A.begin();
ll ans = 1;
for (int i = 0; i < N; i++)
ans = (ans * (plc[i] - i) % MOD);
cout << ans << "\n";
}
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