This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/CEOI10_tower
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define MOD ((ll)1e9 + 9)
#define MAX_N 1000
vector<int> a(MAX_N);
// TODO
int main()
{
int N, D;
cin >> N >> D;
if (N > MAX_N)
return N;
for (int i = 0; i < N; ++i)
cin >> a[i];
sort(a.begin(), a.begin() + N);
ll ans = 1;
int j = 0;
for (int i = 0; i < N; ++i)
{
while (j < N - 1 && a[j + 1] - a[i] <= D) ++j;
ans = (ans * static_cast<ll>(j - i + 1)) % MOD;
}
cout << ans << '\n';
return 0;
}
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