#include "game.h"
//#include "grader.cpp"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int,int>
#define f first
#define s second
#define all(x) x.begin(),x.end()
#define _ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
namespace{
const int inf=1e9;
vector<int> l,r,lev;
int n,k;
vector<vector<int>> adj,adjr;
}
void init(int _n, int _k) {
n=_n;
k=_k;
l=vector<int>(n+1,inf);
r=vector<int>(n+1,0);
lev=vector<int>(n+1,20);
adj.resize(n+1);
adjr.resize(n+1);
for(int i=1;i<=k;i++){
if(i>1){
r[i]=i-1;
}
if(i<k){
l[i]=i+1;
}
}
}
int add_teleporter(int a, int b) {
a++;
b++;
adj[a].push_back(b);
adjr[b].push_back(a);
{
int tmp=l[b];
if(b<=k) tmp=min(tmp,b);
if(tmp<l[a]){
l[a]=tmp;
bool tf=false;
while(lev[a]>=0 and (l[a]>>lev[a])==(r[a]>>lev[a])){
lev[a]--;
tf=true;
}
queue<int> q;
q.push(a);
while(!q.empty()){
int v=q.front();
q.pop();
if(l[v]<=r[v]) return 1;
for(auto u:adjr[v]){
if(l[v]<l[u]){
l[u]=l[v];
bool tf=false;
while(lev[u]>=0 and (l[u]>>lev[u])==(r[u]>>lev[u])){
lev[u]--;
tf=true;
}
q.push(u);
}
}
}
}
}
{
int tmp=r[a];
if(a<=k) tmp=max(tmp,a);
if(tmp>r[b]){
r[b]=tmp;
bool tf=false;
while(lev[b]>=0 and (l[b]>>lev[b])==(r[b]>>lev[b])){
lev[b]--;
tf=true;
}
queue<int> q;
q.push(b);
while(!q.empty()){
int v=q.front();
q.pop();
if(l[v]<=r[v]) return 1;
for(auto u:adj[v]){
if(r[v]>r[u]){
r[u]=r[v];
bool tf=false;
while(lev[u]>=0 and (l[u]>>lev[u])==(r[u]>>lev[u])){
lev[u]--;
tf=true;
}
q.push(u);
}
}
}
}
}
/*for(int i=1;i<=n;i++){
cout<<i-1<<' '<<l[i]-1<<' '<<r[i]-1<<' '<<lev[i]<<'\n';
}
cout<<'\n';*/
return 0;
}
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