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>
#define MOD ((ll) 1e9 + 9)
using namespace std;
using ll = long long;
vector<ll> blocks;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ll n, d;
cin >> n >> d;
for (ll i{0}; i < n; i++) {
ll b;
cin >> b;
blocks.push_back(b);
}
sort(blocks.begin(), blocks.end());
ll ans{1};
ll right{0};
for (ll left{0}; left < n; left++) {
while (right < n && blocks[left] + d >= blocks[right]) {
right++;
}
ans *= (right - left) % MOD;
ans %= MOD;
}
cout << ans << "\n";
}
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