#include "game.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define f first
#define s second
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define REP(n) FOR(O, 1, (n))
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef vector<pii> vii;
const int MAXN = 500100;
vi adj[MAXN];
int n, k;
bool vis[MAXN];
bool still[MAXN];
bool cycle = false;
vi was;
void dfs (int v) {
if (cycle) return;
was.pb(v);
vis[v] = true;
still[v] = true;
for (int u : adj[v]) {
if (vis[u]) {
if (still[u] && u < k) {
cycle = true;
return;
}
} else dfs(u);
}
still[v] = false;
}
void init(int N, int K) {
n = N;
k = K;
FOR(i, 0, k-2) adj[i].pb(i+1);
}
int add_teleporter(int u, int v) {
adj[u].pb(v);
cycle = false;
//FOR(i, 0,n-1) vis[i] = false;
dfs(0);
for (int x : was) vis[x] = false;
return cycle;
}
