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>
using namespace std;
typedef long long ll;
const int N = 21, M = 1e9 + 9;
int a[N], n, d;
ll dp[N][(1<<N)];
ll rek(int pos, int msk){
if(dp[pos][msk] != -1) return dp[pos][msk];
if(__builtin_popcount(msk) == n-1){
for(int i=0;i<n;i++)
{
if(msk & (1 << i)) continue;
return dp[pos][msk] = a[i] <= a[pos] + d;
}
}
ll ret = 0;
for(int i=0;i<n;i++){
if(msk & (1 << i)) continue;
if(a[i] <= a[pos] + d)
ret = (ret + rek(i, msk | (1 << i))) % M;
}
return dp[pos][msk] = ret;
}
int main(){
cin.tie(0) -> ios_base::sync_with_stdio(0);
memset(dp, -1, sizeof dp);
cin >> n >> d;
for(int i=0;i<n;i++) cin >> a[i];
sort(a, a+n);
ll ans = 0;
for(int i=0;i<n;i++)
ans = (ans + rek(i, (1<<i))) % M;
cout << ans;
}
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