#include "game.h"
#include<bits/stdc++.h>
using namespace std;
const int maxn=300005;
int n, k, ok, l[maxn], r[maxn], layer[maxn];
vector <int> A[maxn], At[maxn];
void propagate(int u)
{
if (ok) return;
if (r[u]<=l[u]) return ok=1, void();
int j=__lg(l[u]^r[u]);
if (layer[u]>j) layer[u]=j;
else return;
for (int v:A[u]) l[v]=max(l[v], l[u]), propagate(v);
for (int v:At[u]) r[v]=min(r[v], r[u]), propagate(v);
}
int add_teleporter(int u, int v)
{
A[u].push_back(v), At[v].push_back(u);
l[v]=max(l[v], max(l[u], u<k?u:-1)), propagate(v);
r[u]=min(r[u], min(r[v], v<k?v:k)), propagate(u);
return ok;
}
void init(int N, int K)
{
n=N, k=K;
for (int i=0; i<k; i++) l[i]=i, r[i]=i+1;
for (int i=k; i<n; i++) l[i]=-1, r[i]=k;
for (int i=0; i<n; i++) layer[i]=__lg(l[i]^r[i]);
}
/*int main()
{
}*/
