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
signed main() {
int n, d;
int inf = 1e9+9;
cin >> n >> d;
vector<int> a(n);
for (int i = 0; i < n; i++) cin >> a[i];
sort(a.begin(), a.end());
vector<int> b(n);
int j = n-2;
int cont = 1;
for (int i = n-1; i > -1; i--) {
while (j >= 0 && a[i] <= a[j]+d) {
j--;
cont++;
}
cont--;
b[i] = cont % inf;
}
vector<int> dp(n);
dp[0] = 1;
for (int i = 1; i < n; i++) {
dp[i] = (dp[i-1] * (b[i] + 1)) % inf;
}
//print(dp);
cout << dp[n-1] << endl;
}
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