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;
const int mod = 1'000'000'009;
void solve()
{
int n;
long d;
cin >> n >> d;
vector<int> a(n);
for (int i = 0; i < n; i++)
cin >> a[i];
sort(a.begin(), a.end());
long c = 1;
for (int i = 0; i < n; i++)
{
int x = i + 1 - (lower_bound(a.begin(), a.end(), a[i] - d) - a.begin());
c *= x;
c %= mod;
}
cout << c << '\n';
}
int main()
{
ios_base::sync_with_stdio(false), cin.tie(nullptr);
solve();
return 0;
}
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