#include "game.h"
#include <bits/stdc++.h>
using namespace std;
const int NM = 3e4, KM = 1000;
int n, k;
vector <int> adj[NM+5];
int timer, num[NM+5], low[NM+5], comp, scc[NM+5], sz[NM+5];
stack <int> st;
void init(int _n, int _k){
n = _n, k = _k;
for (int i = 0; i < n; i++) adj[i].clear();
for (int i = 0; i+1 < k; i++)
adj[i].push_back(i+1);
}
void dfs(int u){
num[u] = low[u] = ++timer;
st.push(u);
for (int v : adj[u]){
if (v == u) continue;
if (scc[v] > 0) continue;
if (num[v] > 0){
low[u] = min(low[u], num[v]);
}
else{
dfs(v);
low[u] = min(low[u], low[v]);
}
}
if (low[u] == num[u]){
comp++;
sz[comp] = 0;
int v = -1;
while (v != u){
v = st.top(); st.pop();
scc[v] = comp;
sz[comp]++;
}
}
}
int add_teleporter(int u, int v){
adj[u].push_back(v);
if (u == v && u < k) return 1;
for (int i = 0; i < n; i++) num[i] = low[i] = scc[i] = 0;
timer = 0;
comp = 0;
for (int i = 0; i < n; i++){
if (num[i] > 0) continue;
dfs(i);
}
for (int i = 0; i < k; i++){
if (sz[scc[i]] > 1) return 1;
}
return 0;
}
