#include "game.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(abs(a), abs(b));}
ll lcm(ll a, ll b){return abs(a) / gcd(a, b) * abs(b);}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
// mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
const int N = 3e4 + 69;
int k;
vector<int> graph[N];
int max_reachable[N];
void init(int n, int _k) {
for(int i = 0; i < n; ++i) max_reachable[i] = -1;
k = _k;
}
int add_teleporter(int u, int v) {
if (u < k && v < k){
if (u >= v) return 1;
return 0;
}
vector<int> q;
if (u < k){
if (maximize(max_reachable[v], u)){
q.push_back(v);
}
}
else{
if (maximize(max_reachable[v], max_reachable[u])){
q.push_back(v);
}
}
while(q.size()){
int u = q.back(); q.pop_back();
if (max_reachable[u] >= u) return 1;
for(int v: graph[u])
if (maximize(max_reachable[v], max_reachable[u]))
q.push_back(v);
}
return 0;
}
// int main(void){
// ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
// clock_t start = clock();
// int n, m, k; cin >> n >> m >> k;
// init(n, k);
// for(int i = 0; i < m; ++i){
// int u, v; cin >> u >> v;
// if (add_teleporter(u, v)) cout << "Infinite stamps glitch" << endl;
// else cout << "Nah" << endl;
// }
// cerr << "Time elapsed: " << clock() - start << "ms!\n";
// return 0;
// }
