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 <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int main()
{
int n, m;
cin >> n >> m;
vector<int> v(n);
for (int i = 0; i < n; i++) {
cin >> v[i];
}
sort(v.begin(), v.end());
const int mod = (int)1e9+9;
int ans = 1;
int l = 0;
for (int r = 0; r < n; r++) {
while (v[l] < v[r] - m) { l++; }
ans = (long long)ans * (r-l+1) % mod;
}
cout << ans << endl;
}
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