This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//author: Ahmet Alp Orakci
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
const int MOD = 1E9 + 9;
#define ONLINE_JUDGE
void solve() {
int n, d;
cin >> n >> d;
int arr[n];
for(int i = 0; i < n; i++)
cin >> arr[i];
sort(arr, arr + n);
int res = 1, r = 0;
for(int l = 0; l < n; l++) {
while(r +1 < n && arr[l] + d >= arr[r +1])
r++;
//cerr << l << " " << r << "\n";
res = (res * 1LL * (r - l +1)) % MOD;
}
cout << res;
return;
}
signed main() {
#ifndef ONLINE_JUDGE
freopen(".in", "r", stdin);
freopen(".out", "w", stdout);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int t = 1; //cin >> t;
for(int i = 1; i <= t; i++) {
solve();
}
return 0;
}
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