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;
typedef long long ll;
const ll mod = 1000000000+9;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ll n, d;
cin >> n >> d;
ll a[n];
for (ll i{0}; i < n; ++i) {
cin >> a[i];
}
sort(a,a+n,greater<ll>());
ll r{0}, ans{1};
for (ll l{0}; l < n; ++l) {
while (r < n && a[l] - d <= a[r]) {
++r;
}
ans *= (r-l)%mod;
ans %= mod;
}
cout << ans << "\n";
return 0;
}
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