#include <bits/stdc++.h>
using namespace std;
const int MAXN = 5e5 + 11;
int n, k, ver;
int was[MAXN], r[MAXN], l[MAXN];
vector < int > g[MAXN], rg[MAXN];
void dfs(int v, int st){
was[v] = 1;
if(v != st) r[v] = max(r[v], st);
for(int u : g[v]){
if(!was[u]) dfs(u, st);
else r[u] = max({r[v], r[u], st});
}
}
void dfs2(int v, int st){
was[v] = 1, l[v] = min(l[v], st);
for(int u : rg[v])
if(!was[u])
dfs2(u, st);
}
void init(int _n, int _k) {
n = _n, k = _k;
for(int i = 0; i < k - 1; i++) g[i].push_back(i + 1), rg[i + 1].push_back(i);
}
int add_teleporter(int u, int v){
g[u].push_back(v);
for(int i = 0; i < n; i++) r[i] = -1, l[i] = n;
for(int i = 0; i < n; i++) was[i] = 0;
for(int i = k - 1; i >= 1; i--) dfs(i, i);
for(int i = 0; i < n; i++) was[i] = 0;
dfs(0, 0);
for(int i = 0; i < n; i++) was[i] = 0;
for(int i = 0; i < k; i++) dfs2(i, i);
for(int i = 0; i < n; i++)
if(l[i] <= r[i])
return 1;
return 0;
}
namespace {
int read_int() {
int x;
if (scanf("%d", &x) != 1) {
fprintf(stderr, "Error while reading input\n");
exit(1);
}
return x;
}
} // namespace
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