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>
#include <climits>
#include <set>
#include <queue>
#include <tuple>
using namespace std;
int main()
{
int n, d;
cin >> n >> d;
vector<int> blocks(n);
for (int i = 0; i < n; i++) {
cin >> blocks[i];
}
sort(blocks.begin(), blocks.end());
long long ans = 1;
const int MOD = 1000000009;
int j = 0;
for (int i = 1; i < n; i++) {
while (j < i && blocks[j] < blocks[i] - d) {
j++;
}
ans *= i - j + 1;
ans %= MOD;
}
cout << ans << endl;
}
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