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 ll = long long;
int const modulo = 1000000009;
int main() {
std::ios::sync_with_stdio(0);
std::cin.tie(0);
int n, d;
std::cin >> n >> d;
std::vector<int> v;
for(int i = 1; i <= n; i++) {
int aux;
std::cin >> aux;
v.push_back(aux);
}
std::sort(v.begin(), v.end());
int ptr = v.size() - 1;
int result = 1;
for(int i = v.size() - 2; 0 <= i; i--) {
while(v[i] + d < v[ptr])
ptr--;
result = 1LL * result * (ptr - i + 1) % modulo;
}
std::cout << result;
return 0;
}
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