#include <vector>
#include <set>
#include "icc.h"
#include <bits/stdc++.h>
using namespace std;
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
vector<int>g;
int const N=110;
vector<int>chi[N]={};int par[N]={};
bool w=0;
bool q(vector<int>x,vector<int>y)
{
vector<int>a,b;
for (auto i:x)
for (auto j:chi[i])
a.push_back(j);
for (auto i:y)
for (auto j:chi[i])
b.push_back(j);
int* c=new int[a.size()];int *d=new int[b.size()];
for (int i=0;i<a.size();i++)
c[i]=a[i];
for (int i=0;i<b.size();i++)
d[i]=b[i];
int z=query(a.size(),b.size(),c,d);
return z;
}
bool q1(vector<int>a,vector<int>b)
{
int* c=new int[a.size()];int *d=new int[b.size()];
for (int i=0;i<a.size();i++)
c[i]=a[i];
for (int i=0;i<b.size();i++)
d[i]=b[i];
int z=query(a.size(),b.size(),c,d);
return z;
}
bool check(int l,int r)
{
int mid=(l+r)/2;
vector<int>a,b;
for (int i=l;i<=mid;i++)
a.push_back(g[i]);
for (int i=mid+1;i<=r;i++)
b.push_back(g[i]);
return q(a,b);
}
int root(int x)
{
if (x==par[x])
return x;
return (par[x]=root(par[x]));
}
void merge1(int x,int y)
{
x=root(x);
y=root(y);
for (auto i:chi[y])
chi[x].push_back(i);
chi[y]={};
par[y]=x;
}
int DnC2(vector<int>a,vector<int>b)
{
if (q1(a,b)==0)
return -1;
if (a.size()==1)
return a[0];
// shuffle(a.begin(), a.end(),RNG);
vector<int>x,y;
int z=(a.size())/2;
for (int i=0;i<z;i++)
x.push_back(a[i]);
for (int i=z;i<a.size();i++)
y.push_back(a[i]);
z=DnC2(x,b);
if (z==-1)
return DnC2(y,b);
return z;
}
int DnC1(vector<int>a,vector<int>b)
{
if (q(a,b)==0)
return -1;
if (a.size()==1)
return a[0];
vector<int>x,y;
// shuffle(a.begin(), a.end(),RNG);
int z=(a.size())/2;
for (int i=0;i<z;i++)
x.push_back(a[i]);
for (int i=z;i<a.size();i++)
y.push_back(a[i]);
z=DnC1(x,b);
if (z==-1)
return DnC1(y,b);
return z;
}
void cq1(int r,int l)
{
vector<int>a,b;
for (auto i:chi[r])
a.push_back(i);
for (auto i:chi[l])
b.push_back(i);
int x=DnC2(a,b);
int y=DnC2(b,{x});
setRoad(x,y);merge1(x,y);
}
void cq(int l,int r)
{
int mid=(l+r)/2;
vector<int>a,b;
for (int i=l;i<=mid;i++)
a.push_back(g[i]);
for (int i=mid+1;i<=r;i++)
b.push_back(g[i]);
int z=DnC1(a,b);
int y=DnC1(b,{z});
cq1(z,y);
}
void DnC(int l,int r)
{
while (1)
{
shuffle(g.begin(), g.end(),RNG);
if (check(l,r))
{
cq(l,r);
break;
}
}
}
void run(int n)
{
for (int i=1;i<=n;i++)
{
par[i]=i;
g.push_back(i);
chi[i].push_back(i);
}
for (int i=0;i<n-1;i++)
{
w=0;
DnC(0,g.size()-1);
}
}
