#include <bits/stdc++.h>
#include <random>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> p32;
typedef pair<ll, ll> p64;
typedef pair<double, double> pdd;
typedef vector<ll> v64;
typedef vector<int> v32;
typedef vector<vector<int>> vv32;
typedef vector<vector<ll>> vv64;
typedef vector<vector<p64>> vvp64;
typedef vector<p64> vp64;
typedef vector<p32> vp32;
ll MOD = 998244353;
double eps = 1e-12;
#define forn(i, e) for (ll i = 0; i < e; i++)
#define forsn(i, s, e) for (ll i = s; i < e; i++)
#define rforn(i, s) for (ll i = s; i >= 0; i--)
#define rforsn(i, s, e) for (ll i = s; i >= e; i--)
#define ln "\n"
#define dbg(x) cout << #x << " = " << x << ln
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define INF 2e18
#define fast_cin()                    \
    ios_base::sync_with_stdio(false); \
    cin.tie(NULL);                    \
    cout.tie(NULL)
#define all(x) (x).begin(), (x).end()
#define sz(x) ((ll)(x).size())

const int N_MAX = 1e5 + 1;
vector<vector<int>> a(N_MAX);
vector<bool> lattam(N_MAX);
int db = 0;

void melysegi(int node, deque<int> ans){
    ans.push(node);
    db++;
    for(int i = 0; i < a[node].size(); i++){
        if(!lattam[a[node][i]]){
            melysegi(a[node][i], ans);
            lattam[a[node][i]] = 1;
        }
    }
    ans.pop_back();
}

int main()
{
    //fast_cin();
    ifstream cin("in.txt");
    long long n, k;
    cin>>n>>k;
    for(int i=1; i<n; i++){
        int x, y;
        cin>>x>>y;
        a[x].push_back(y);
        a[y].push_back(x);
    }
    for(int i=1; i<=n; i++){
        sort(a[i].begin(), a[i].end());
    }
    int node;
    if(n%k == 0){
        node = k/n;
        k = n;
    }
    else{
        node = k/n+1;
        k = n%k;
    }
    deque<int> ans;
    ans.push(node);
    melysegi(node, ans);

    return 0;
}