#include "towns.h"
#include <bits/stdc++.h>
using namespace std;
const int INF = 1e9;
int n;
vector<int> calc_dist(int src)
{
vector<int> dist(n);
for(int i=0;i<n;i++)
dist[i] = getDistance(src,i);
return dist;
}
int hubDistance(int N, int sub)
{
//int _ = getDistance(0,1);
n = N;
vector<int> dist0 = calc_dist(0);
int cap1=0;
for(int i=0;i<n;i++)
if(dist0[i]>dist0[cap1])
cap1=i;
vector<int> dist1 = calc_dist(cap1);
int cap2=0;
for(int i=0;i<n;i++)
if(dist1[i]>dist1[cap2])
cap2=i;
vector<int> dist2 = calc_dist(cap2);
int mnm = dist1[cap2];
vector<int> injos(n);
for(int i=0;i<n;i++)
{
injos[i] = dist1[i] + dist2[i] - dist1[cap2];
assert(injos[i]%2==0);
injos[i]/=2;
mnm = min(mnm, max(dist1[i], dist2[i]) - injos[i]);
}
bool gasit=0;
if(sub>2)
{
for(int i=0;i<n;i++)
{
if(max(dist1[i], dist2[i]) - injos[i] == mnm)
{
int cntst=0,cntmij=0,cntdr=0;
vector<int> vmij;
for(int j=0;j<n;j++)
{
if(dist1[j]-injos[j] < dist1[i]-injos[i])
{
cntst++;
}
else if(dist1[j]-injos[j] == dist1[i]-injos[i])
{
cntmij++;
vmij.push_back(j);
}
else
{
cntdr++;
}
}
if(max(cntst,cntdr) <= n/2)
{
//mai trebuie sa verific daca toti copii nodului ales din diametru sunt <=n/2
if(cntmij <= n/2)
{
gasit=1;
break;
}
int care=-1, cnt=0;
for(int x:vmij)
{
if(cnt==0)
{
care = x;
cnt = 1;
}
else if(getDistance(care,x) == injos[x] + injos[care])
{
cnt--;
}
else
{
cnt++;
}
}
cnt=(int)vmij.size();
for(int x:vmij)
{
if(x!=care && getDistance(care,x) == injos[x] + injos[care])
{
cnt--;
}
}
if(cnt <= n/2)
{
gasit=1;
break;
}
}
}
}
}
if(!gasit)
mnm = -mnm;
return mnm;
}
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