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 int long long
const int MOD = 1e9 + 9;
int fact[10000001] = {};
int arr[10000000];
signed main () {
fact[0] = 1;
int n, d;
for (int i = 1; i <= 10000000; i++) {
fact[i] = (i * fact[i - 1]) % MOD;
}
cin >> n >> d;
for (int i = 0; i < n; i++) cin >> arr[i];
sort(arr, arr + n);
int l = 1;
for (int i = 0; i < n; i++) {
int ub = upper_bound(arr, arr + n, arr[i] + d) - arr;
ub--;
if (ub < i) continue;
l = (l * fact[(ub - i + 1)]) % MOD;
i = ub;
}
cout << l << '\n';
}
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