#include "towns.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());
 
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());
    }
int hubDistance(int n, int subtask){
    int dih = 0;
    int u = 0;
    for(int i = 1; i < n; ++i) if (maximize(dih, getDistance(0, i))) 
        u = i;
    int v = 0;
    dih = 0;
    vector<int> dis1(n);
    for(int i = 0; i < n; ++i) if (i != u) {
        dis1[i] = getDistance(i, u);
        if (maximize(dih, dis1[i]))
            v = i;
    }
    vector<int> dis2(n);
    vector<int> left_dis(n), stick_out(n);
    dis2[u] = dih;
    left_dis[v] = dih;
    int ans = 1e9 + 69;
    for(int i = 0; i < n; ++i) if (i != u && i != v){
        int x = dis1[i], y = dis2[i] = getDistance(i, v);
        int cur = (x - y + dih) / 2;
        stick_out[i] = dis1[i] - cur;
        left_dis[i] = cur;
        maximize(cur, dih - cur);
        minimize(ans, cur);
    }
    vector<int> possible = left_dis; remove_dup(possible);
    for(int i: possible){
        if (max(i, dih - i) != ans) continue;
        array<int, 3> cnt; fill(ALL(cnt), 0);
        for(int j: left_dis) {
            if (j < i) cnt[0]++;
            else if (j == i) cnt[1]++;
            else cnt[2]++;
        }
        if (*max_element(ALL(cnt)) <= n / 2) return ans;
    }
    return -ans;
}
// int main(void){
//     ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
//     clock_t start = clock();
//     cerr << "Time elapsed: " << clock() - start << " ms!\n";
//     return 0;
// }
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