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 N = 1000005;
const int MOD = 1e9 + 9;
int a[N], dp[N];
signed main() {
cin.tie(0)->sync_with_stdio(0);
int n, d;
cin >> n >> d;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
sort(a + 1, a + n + 1, greater<int>());
dp[0] = 1;
for (int i = 1; i <= n; i++) {
int j = i;
while (j - 1 >= 1 && a[j - 1] <= a[i] + d) j--;
dp[i] += (dp[i - 1] * (i - j + 1)) % MOD;
dp[i] %= MOD;
}
cout << dp[n] << '\n';
}
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