#include "september.h"
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 1;;
const int INF = INT_MAX;
vector < int > adj[N];
int idx[N] , sub[N];
int cur_idx = 0;
void dfs(int v , int p)
{
sub[v] = 1;
idx[v] = ++cur_idx;
for(int u : adj[v])
{
if(u != p)
{
dfs(u , v);
sub[v] += sub[u];
}
}
}
bool is_anc(int u , int v)
{
if(idx[v] >= idx[u] && idx[u] + sub[u] - 1 >= idx[v]) return true;
return false;
}
void fix(int n)
{
for(int i = 0;i <= n;i++) adj[i].clear() , idx[i] = 0 , sub[i] = 0;
cur_idx = 0;
}
int solve(int n , int m , vector < int > F , vector < vector < int > > S)
{
for(int i = 1;i <= n - 1;i++)
{
adj[i].push_back(F[i]);
adj[F[i]].push_back(i);
}
dfs(0 , -1);
int res = -1;
for(int bit = 0;bit < (1 << S[0].size());bit++)
{
vector < vector < vector < int > > > g(m);
vector < vector < int > > cur(m);
int cnt = 0;
for(int i = 0;i < n - 1;i++)
{
for(int j = 0;j < m;j++) cur[j].push_back(S[j][i]);
if((1 << i) & bit)
{
cnt++;
for(int j = 0;j < m;j++)
{
g[j].push_back(cur[j]);
cur[j].clear();
}
}
}
if(cur[0].size() > 0)
{
cnt++;
for(int j = 0;j < m;j++) g[j].push_back(cur[j]);
}
for(int i = 0;i < g.size();i++)
{
for(int j = 0;j < g[i].size();j++)
{
sort(g[i][j].begin() , g[i][j].end());
}
}
bool can = 1;
for(int i = 0;i < cnt;i++)
{
set < vector < int > > st;
for(int j = 0;j < m;j++) st.insert(g[j][i]);
if(st.size() != 1) can = 0;
}
if(!can) continue;
can = 1;
for(int i = 0;i < m;i++)
{
for(int j = 0;j < g[i].size() - 1;j++)
{
for(int k = j + 1;k < g[i].size();k++)
{
vector < int > fi = g[i][j];
vector < int > si = g[i][k];
for(int u : fi){
for(int v : si){
if(is_anc(u , v)) can = 0;
}
}
}
}
}
if(can) res = max(res , cnt);
}
fix(n);
return res;
}
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