#include "stations.h"
#include <bits/stdc++.h>
#define pb push_back
#define pf push_front
using namespace std;
#define F first
#define S second
typedef long long ll;
#define pii pair <int, int>
#define pll pair <ll, ll>
typedef long double ld;
const ll N = 2000 + 100, M = 4096 + 10, len = 21, inf = 1e18;
const ll mod = 1e9 + 7;
ll um(ll a, ll b){
return (1LL * a * b) % mod;
}
ll subr(ll a, ll b){
return ((1LL * a - b) % mod + mod) % mod;
}
int pos[N];
vector <int> q[N];
void dfs1(int v, int pred, int cnt){
pos[v] = cnt;
for(int i = 0; i < (int)q[v].size(); i++){
if(q[v][i] == pred) continue;
dfs1(q[v][i], v, cnt + 1);
}
}
void dfs2(int v, int pred, int cur){
if(cur == -1){
pos[v] = 0;
cur = 1;
for(int i = 0; i < (int)q[v].size(); i++){
dfs2(q[v][i], v, cur);
cur += 1000;
}
return;
}
pos[v] = cur;
for(int i = 0; i < (int)q[v].size(); i++){
if(q[v][i] == pred) continue;
dfs2(q[v][i], v, cur + 1);
}
}
vector<int> label(int n, int k, vector<int> u, vector<int> v) {
vector <int> labels(n);
for(int i = 0; i < (int)u.size(); i++){
q[u[i]].pb(v[i]);
q[v[i]].pb(u[i]);
}
for(int i = 0; i < n; i++){
labels[i] = i;
}
return labels;
}
int find_next_station(int s, int t, vector<int> c) {
int tt = t, last=-1;
while(tt != s){
last = tt;
tt = (tt - 1) / 2;
}
if(tt == s) return last;
return (s - 1) / 2;
}
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