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 Roland_Petrean ios_base::sync_with_stdio(false);
#define will_win cin.tie();
#define ejoi_2023 cout.tie();
#define int long long
using namespace std;
const int nmax = 70, mod = 1e9 + 9;
int v[nmax];
int32_t main() {
Roland_Petrean will_win ejoi_2023;
int n, d;
cin >> n >> d;
for(int i = 1; i <= n; i ++) {
cin >> v[i];
}
sort(v + 1, v + n + 1, greater<int>());
int curr = 1;
long long ans = 1;
for(int i = 1; i <= n; i ++) {
if(v[curr] > v[i] + d) {
curr ++;
}
ans = ans * (i - curr + 1);
ans %= mod;
}
cout << ans;
return 0;
}
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