#include "dungeon2.h"
#pragma GCC optimize("Ofast,unroll-loops")
#include<bits/stdc++.h>
//#define int   long long
#define ll long long
#define down cout<<'\n';
#define debug cout<<" cucuucucuuu",down
#define modwwe  int t;cin>>t; while(t--)
#define bit(i,j) (i>>j&1)
#define sobit(a) __builtin_popcountll(a)
#define task2 "ftree"
#define task "test"
#define fin(x) freopen(x".inp","r",stdin)
#define fou(x) freopen(x".out","w",stdout)
#define pb push_back
#define mask(k) (1<<k)
#define checktime   cerr << (double)clock() / CLOCKS_PER_SEC * 1000  << " ms";
using namespace std;
#define getchar_unlocked getchar
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l,int r)
{
    return uniform_int_distribution<int>(l,r)(rd);
}
void phongbeo();
const int inf = 1e9;
const ll mod2 = 1e9+7;
const ll base=67;
int  n, m, s1, s2, s4, s3, sf, k, s5, s6, mx, s7, s8, s9, mx2, res, dem2 = 0, dem = 0, s33, dem3, dem4, mid, l2, r2, center;
int  i, s10, s12,k1,k2,k3,s11,lim,w,l,r,dem5,dem6,dem7,dem9;
int kk;
int t;
int el = 19;/*
main()
{
    if(fopen(task2".inp","r"))
    {
        fin(task2);
        fou(task2);
    }
    if(fopen(task".inp","r"))
    {
        fin(task);
        fou(task);
    }
    ios_base::sync_with_stdio(0);
    cout.tie(0);
    cin.tie(0);
    /// cin>>s1;
//int t;cin>>t; while(t--)
    phongbeo();
    checktime
}*/
int dist[201][201];
int dp[201][201];
int cnt[201];
int f[201][201];
int par[201];
int g[201];
int col[201];
bool go[201][201];
struct ib
{
    int a,b;
};
vector<ib> v[201];
vector<int> son[201];/*
int LastRoad()
{
    int s=-1;
    dem=0;
    for(auto x:son[s2])
    {
        dem++;
        if(s3==x)
        {
            s=dem;
            break;
        }
    }
    return s;
}
int NumberOfRoads()
{
    return son[s2].size();
}
int color()
{
    return col[s2];
}
void Move(int x,int y)
{
    s3=s2;
    s2=son[s2][x-1];
    col[s3]=y;
}*/
void pre_dfs(int x)
{
    par[x]=LastRoad();
    int xx=NumberOfRoads();
    for(int i=1; i<=xx; i++)
    {
        if(i==par[x]) continue;
        Move(i,2);
        if(Color()==2)
        {
            go[x][i]=1;
            Move(LastRoad(),2);
        }
        else
        {
            lim++;
            dp[x][lim]=dp[lim][x]=1;
            v[x].pb({lim,i});
            pre_dfs(lim);
        }
    }
    if(x!=1)
        Move(par[x],2);
}
void dfs(int x)
{
    int xx=NumberOfRoads();
    for(auto [u,v]:v[x])
    {
        Move(v,(x/s9)%3+1);
        dfs(u);
    }
    for(int i=1; i<=xx; i++)
        if(go[x][i])
        {
            Move(i,1);
            int cc=Color();
            f[x][i]=f[x][i]*3+cc-1;
            if(s9==1)dp[f[x][i]][x]=dp[x][f[x][i]]=1;
            Move(LastRoad(),cc);
        }
    if(x!=1)
        Move(par[x],1);
}
void Inspect(int x)
{
    for(int i=1; i<=200; i++)
        col[i]=1;
    s9=81;
    for(int i=1; i<=200; i++)
        for(int j=1; j<=200; j++)
            dp[i][j]=inf;
    s2=1;
    s3=0;
    lim=1;
    pre_dfs(1);
    for(int i=0; i<5; i++)
    {
        dfs(1);
        s9/=3;
    }
    for(int k=1; k<=lim; k++)
        for(int i=1; i<=lim; i++)
            for(int j=1; j<=lim; j++)
                dp[i][j]=min(dp[i][k]+dp[k][j],dp[i][j]);
    for(int i=1; i<=lim; i++)
        for(int j=i+1; j<=lim; j++)
            g[dp[i][j]]++;
    for(int i=1; i<=x; i++)
        Answer(i,g[i]);
}/*
void phongbeo()
{
    cin>>n>>m>>r;
    for(int i=1; i<=n; i++)
        for(int j=1; j<=n; j++)
            dist[i][j]=inf;
    for(int i=1; i<=n; i++)
    {
        cin>>k;
        while(k--)
        {
            cin>>s2;
            son[i].pb(s2);
            dist[i][s2]=dist[s2][i]=1;
        }
    }
    for(int k=1; k<=n; k++)
        for(int i=1; i<=n; i++)
            for(int j=1; j<=n; j++)
                dist[i][j]=min(dist[i][k]+dist[k][j],dist[i][j]);
    for(int i=1; i<=n; i++)
        for(int j=i+1; j<=n; j++)
            cnt[dist[i][j]]++;
    for(int i=1; i<=r; i++)
        cout<<cnt[i],down
            Inspect(r);
}
*/
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