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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