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 MOD 1000000009
#define ll long long
using namespace std;
int n, d, a[100005];
ll w[100005], tot[100005];
int main()
{
cin >> n >> d; for(int i = 0; i < n; i++) cin >> a[i];
sort(a, a+n);
tot[0] = 1;
int lo=0;
for(int i = 0; i < n; i++)
{
while(a[lo]+d < a[i]) lo++;
w[i] = (i-lo)+1;
}
// for(int i = 0; i < n; i++) cerr << w[i] << endl;
for(int i = 1; i < n; i++)
{
tot[i] = (tot[i-1]*w[i]) % MOD;
}
cout << tot[n-1] << endl;
}
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