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;
#define sz(x) (int)(x).size()
const int MOD = 1e9 + 9;
int n, d;
vector<int> blocks, v;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
cin >> n >> d;
for(int i = 0; i < n; i++){
int a; cin >> a;
blocks.push_back(a);
}
sort(blocks.begin(), blocks.end());
int index = 0;
for(int i = 0; i < n; i++){
while(index < n && blocks[index] + d < blocks[i]) index++;
v.push_back(i - index);
}
long long ans = 1;
for(auto x : v) ans = ans * (x + 1) % MOD;
cout << ans;
return 0;
}
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