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;
using ll = long long;
const ll mod = 1e9+9;
vector<ll>v;
vector<ll>tmp;
vector<bool>mark;
ll n, d;
ll f(int idx, ll last){
if(idx == n){
return 1;
}
ll ret = 0;
for(int i = 0; i < n; i++){
if(!mark[i] && (v[i] <= last + d)){
//cout << "can stack " << v[i] << " on top of " << last << endl;
mark[i] = true;
tmp.push_back(v[i]);
ret += f(idx + 1, v[i]);
mark[i] = false;
tmp.pop_back();
}
}
return (ret % mod);
}
int main(){
cin >> n >> d;
for(int i = 0; i < n; i++){
ll x; cin >> x;
v.push_back(x);
mark.push_back(0);
}
cout << (f(0, 1e9) % mod) << endl;
return 0;
}
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