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>
#include <ext/pb_ds/assoc_container.hpp>
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("Ofast,unroll-loops")
using namespace std;
using namespace __gnu_pbds;
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define f first
#define s second
#define int long long
#define ll long long
#define pii pair<int,int>
#define ar array
#define mps make_pair
template<class T>bool umax(T &a,T b){if(a<b){a=b;return true;}return false;}
template<class T>bool umin(T &a,T b){if(b<a){a=b;return true;}return false;}
template<class T> using ste = tree<T, null_type, less_equal<T>,
rb_tree_tag, tree_order_statistics_node_update>;
const int inf = 3e18 + 7;
const int mod = 1e9 + 9;
const int N = 2e5 + 5;
const int md = 998244353;
int binpow(int a, int b, int m){
if(b == 0)return 1;
if(b % 2 == 0){
int c = binpow(a,b/2,m);
return (c*c)%m;
}
return (binpow(a,b-1,m)*a)%m;
}
int divi(int a, int b, int m){
return (a*(binpow(b,m-2, m)))%m;
}
int n,m,k,q;
int res;
ste<int>st;
vector<int>v(N);
void dfs(int x, int pos){
if(pos == n){
res += 1;
return;
}
ste<int>s;
for(auto to:st)s.insert(to);
// cout << x << " " << pos << "\n";
// for(auto to:st)cout << to << " ";
// cout << "\n\n";
for(auto to:s){
if(to - x <= k){
st.erase(st.find_by_order(st.order_of_key(to)));
dfs(to, pos+1);
st.insert(to);
}
else break;
}
}
void solve(){
cin >> n >> k;
for(int i = 0;i<n;i++){
cin >> v[i];
}
if(n <= 20 && false){
int dp[(1<<n)][n]{};
for(int i = 0;i<n;i++){
dp[(1<<i)][i] = 1;
}
for(int mask = 1;mask<(1<<n);mask++){
for(int i = 0;i<n;i++){
if(mask >> i & 1 && dp[mask][i] > 0){
for(int j = 0;j<n;j++){
if(!(mask >> j & 1)){
if(v[j]-v[i] <= k){
dp[mask+(1<<j)][j] += dp[mask][i];
dp[mask+(1<<j)][j] %= mod;
}
}
}
}
}
}
int res = 0;
for(int i = 0;i<n;i++){
res += dp[(1<<n)-1][i];
res %= mod;
}
cout << res << "\n";
return;
}
for(int i = 0;i<n;i++){
st.insert(v[i]);
}
for(int i = 0;i<n;i++){
st.erase(st.find_by_order(st.order_of_key(v[i])));
dfs(v[i], 1);
st.insert(v[i]);
}
cout << res << "\n";
}
/*
*/
signed main()
{
// freopen("seq.in", "r", stdin);
// freopen("seq.out", "w", stdout);
ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL);
int tt=1;//cin>>tt;
while(tt--)solve();
}
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