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 = 1000000009;
long long factorial(int s){
long long ans = 1;
for (int i = s; i >= 1; i--)
ans *= i;
return ans % mod;
}
int main()
{
int n, d;
cin >> n >> d;
vector <int> blocks(n);
for (int i = 0; i < n; i++)
cin >> blocks[i];
sort(begin(blocks), end(blocks));
long long ans = 1;
int l = 0, r = 0;
while (r < n){
if (blocks[l] + d < blocks[r]){
ans = (ans * factorial(r-l)) % mod;
if (blocks[r] + d >= blocks[r+1])
l = r-1;
else
l = r;
}
r++;
}
cout << ans << '\n';
}
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