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 <iostream>
#include <iomanip>
#include <algorithm>
#include <string>
#include <cmath>
#include <map>
#include <vector>
#include <climits>
#include <queue>
using namespace std;
int ans[26][1500];
int main()
{
    int n;
    int d;
    int r = 0;
    int sol = 1;
    
    cin >> n;
    cin >> d;
    
    vector<int> ar(n);
    
    for (int i = 0; i < n; i++)
    {
        cin >> ar[i];
    }
    
    sort(ar.begin(), ar.end());
    
    for (int l = 0; l < n; l++)
    {
        while (r < n - 1 && ar[r + 1] - ar[l] <= d)
        {
            r++;
        }
        
        int dist = r - l + 1;
        
        sol = (sol * 1LL * dist) % 1000000009;
    }
    
    cout << sol;
    
    return 0;
}
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