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 taskname "truth"
#define int long long
#define maxn 110
using namespace std;
int n,d;
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
// freopen(taskname".in","r",stdin);
// freopen(taskname".out","w",stdout);
cin>>n>>d;
vector <int> a;
for (int i=1; i<=n; i++)
{
int x; cin>>x;
a.push_back(x);
}
sort(a.begin(),a.end());
int r=0;
int ans=1ll;
int mod=1e9+9;
for (int l=0; l<n; l++)
{
while (r<n-1&&a[r+1]-a[l]<=d) r++;
int temp=r-l+1;
ans=(ans*temp)%mod;
}
cout<<ans;
}
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