#include "game.h"
#include <bits/stdc++.h>
constexpr int N = 3e5 + 7, B = 8, inf = 1e9 + 7;
int fromMe[N], toMe[N], used[2][N], n, k; //smallest from me, biggest to me
std::vector<int> adj[N], rev[N];
bool found = false;
int save[2][N], level[N];
void init(int n, int k) {
::n = n, ::k = k;
for (int i = 0; i < n; ++i) {
if (i >= k) {
fromMe[i] = inf, toMe[i] = -inf;
} else {
fromMe[i] = toMe[i] = i;
}
level[i] = std::__lg(k);
}
memset(save[0], 0x3f, sizeof(save[0]));
memset(save[1], -0x3f, sizeof(save[1]));
}
void dfs2(int v, int x);
void dfs1(int v, int x) {
if (found || v < k || fromMe[v] <= x) {
return;
}
if ((fromMe[v] >> level[v] != toMe[v] >> level[v]) && (fromMe[v] >> level[v]) <= (x >> level[v])) {
save[0][v] = std::min(save[0][v], x);
return;
}
fromMe[v] = x;
if (fromMe[v] <= toMe[v]) {
found = true;
return;
}
if ((toMe[v] >> level[v]) == (fromMe[v] >> level[v])) {
level[v] -= 1;
if (save[1][v] >= 0) {
int s = save[1][v];
save[1][v] = -1;
dfs2(v, s);
}
}
for (int to : rev[v]) {
dfs1(to, x);
}
}
void dfs2(int v, int x) {
if (found || v < k || toMe[v] >= x) {
return;
}
if ((fromMe[v] >> level[v]) != (toMe[v] >> level[v]) && (toMe[v] >> level[v]) >= (x >> level[v])) {
save[1][v] = std::max(save[1][v], x);
return;
}
toMe[v] = x;
if (fromMe[v] <= toMe[v]) {
found = true;
return;
}
if ((toMe[v] >> level[v]) == (fromMe[v] >> level[v])) {
level[v] -= 1;
if (save[0][v] <= k) {
int s = save[0][v];
save[0][v] = k + 1;
dfs1(v, s);
}
}
for (int to : adj[v]) {
dfs2(to, x);
}
}
int add_teleporter(int u, int v) {
if (u < k && v < k && u >= v) {
return 1;
}
adj[u].push_back(v);
rev[v].push_back(u);
dfs1(u, fromMe[v]);
dfs2(v, toMe[u]);
return found;
}
