#include <bits/stdc++.h>

#ifndef LOCAL
#include "icc.h"
#else
namespace iv {
std::array<std::array<bool, 101>, 101> cc;
int na = -1, nb = -1;
int cnt = 0;
} // namespace iv

int query(int a, int b, int *A, int *B) {
    ++iv::cnt;
    for (int ii = 0; ii < a; ++ii) {
        int i = A[ii];
        for (int jj = 0; jj < b; ++jj) {
            int j = B[jj];
            if (iv::cc[i][j]) {
                return true;
            }
        }
    }
    return false;
}
void setRoad(int a, int b) {
    if (a > b) {
        std::swap(a, b);
    }
    std::cerr << "Your answer is: " << a << ' ' << b << std::endl;
    std::cerr << "The correct answer is: " << iv::na << ' ' << iv::nb
              << std::endl;
    std::cerr << std::endl;
    if (iv::na != a || iv::nb != b) {
        std::cerr << "Wrong Answer" << std::endl;
        std::exit(0);
    }
}
#endif

std::vector<std::vector<int>> gr;
std::vector<int> par;
std::vector<int> nodes;
// std::mt19937
// rng(std::chrono::steady_clock::now().time_since_epoch().count());
std::mt19937 rng(2);
bool query(std::vector<int> &a, std::vector<int> &b) {
    if (a.empty() || b.empty()) {
        return false;
    }
    return query((int)a.size(), (int)b.size(), a.data(), b.data());
}
void unite(int a, int b) {
    setRoad(a, b);
    while (par[a] != -1) {
        a = par[a];
    }
    while (par[b] != -1) {
        b = par[b];
    }
    gr[a].insert(gr[a].end(), gr[b].begin(), gr[b].end());
    gr[b].clear();
    par[b] = a;
}
void run(int N) {
    const int n = N;
    if (gr.empty()) {
        gr.resize(n + 1);
        for (int i = 1; i <= n; ++i) {
            gr[i].push_back(i);
        }
        nodes.resize(n);
        par.resize(n + 1, -1);
        std::iota(nodes.begin(), nodes.end(), 1);
    }

    std::vector<int> a, b;
    while (true) {
        a.clear();
        b.clear();
        std::shuffle(nodes.begin(), nodes.end(), rng);
        for (int i = 0; i < n / 2; ++i) {
            a.insert(a.end(), gr[nodes[i]].begin(), gr[nodes[i]].end());
        }
        for (int i = n / 2; i < n; ++i) {
            b.insert(b.end(), gr[nodes[i]].begin(), gr[nodes[i]].end());
        }
        if (query(a, b)) {
            break;
        }
    }
    while ((int)a.size() > 1) {
        std::vector<int> na1(a.begin(), a.begin() + a.size() / 2),
            na2(a.begin() + a.size() / 2, a.end());
        if (query(na1, b)) {
            a = na1;
        } else {
            a = na2;
        }
    }
    while ((int)b.size() > 1) {
        std::vector<int> nb1(b.begin(), b.begin() + b.size() / 2),
            nb2(b.begin() + b.size() / 2, b.end());
        if (query(nb1, a)) {
            b = nb1;
        } else {
            b = nb2;
        }
    }
    unite(a[0], b[0]);
}

#ifdef LOCAL
int main() {
    int n;
    std::cin >> n;

    for (int i = 0; i < n - 1; ++i) {
        std::cin >> iv::na >> iv::nb;
        if (iv::na > iv::nb) {
            std::swap(iv::na, iv::nb);
        }
        iv::cc[iv::na][iv::nb] = true;
        iv::cc[iv::nb][iv::na] = true;
        run(n);
    }
    std::cerr << "Number of queries used: " << iv::cnt << std::endl;
}
#endif