#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#ifdef APURBA
#include "DEBUG_TEMPLATE.h"
#else
#define HERE
#define debug(args...)
#endif
#define ALL(x) x.begin(),x.end()
const int N = 1e5;

vector<int> g[2][N];
int par[2][N];

bool found[2];

bool cycle[2][N];
vector<int> vs[2];
void dfs(int j,int u,int p)
{
//    debug(j,u);
    par[j][u]=p;
    if(found[j]) return ;
    for(int v: g[j][u]) if(v!=p)
    {
        if(found[j]) return ;
        if(par[j][v] == 0)
        {
            dfs(j,v,u);
        }
        else
        {
            debug(u,v);
            int uu=u;
            while(uu!=v)
            {
                vs[j].push_back(uu);
                cycle[j][uu]=1;
                uu=par[j][uu];

            }
            vs[j].push_back(uu);
            cycle[j][uu]=1;
            found[j] =1 ;
        }
    }
}

map<vector<int>, int> mp;

int gt(vector<int> &v)
{
    auto it = mp.find(v);
    if(it!=mp.end()) return it->second;
    mp[v]=mp.size()+1;
    return mp[v];
}

int num(int j,int u,int p)
{
    vector<int> aa;
    for(int v: g[j][u]) if(v!=p  and cycle[v] == 0)
    {
        aa.push_back(num(j,v,u));
    }
    sort(ALL(aa));
    return gt(aa);
}


vector<int> prefix_function(vector<int> s) {
    int n = (int)s.size();
    vector<int> pi(n);
    for (int i = 1; i < n; i++) {
        int j = pi[i-1];
        while (j > 0 && s[i] != s[j])
            j = pi[j-1];
        if (s[i] == s[j])
            j++;
        pi[i] = j;
    }
    return pi;
}

bool isRot(vector<int> a, vector<int> b)
{
    int n = a.size();
    int m = b.size();
    a.push_back(0);
    for(int i: b) a.push_back(i);
    for(int i: b) a.push_back(i);
    auto p = prefix_function(a);
    for(int i=0;i<m;i++)
        if(p[i+n+1] == n)
            return 1;
    return 0;
}


bool TEST_CASES()
{
    int n;
    cin>>n;
    for(int j=0;j<2;j++)
    for(int i=1;i<=n;i++)
    {
        int u,v;cin>>u>>v;
        g[j][u].push_back(v);
        g[j][v].push_back(u);
    }

    for(int j=0;j<2;j++)
    {
        dfs(j,1,-1);
    }
    if(vs[0].size()!= vs[1].size())
        return 0;

    for(int j=0;j<2;j++)
    {
        for(auto &i: vs[j])
            i=num(j,i,-1);
    }


    return isRot(vs[0],vs[1]);
}


/*
*/

int32_t main()
{
#ifndef APURBA
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
#endif
    //freopen("input.txt","r",stdin);
    //freopen("out1.txt","w",stdout);
    int t=1;
    //cin>>t;
    while(t--)
    {
        cout<<(TEST_CASES()?"Yes\n":"No\n");
    }
    return 0;
}