#include <vector>
#include <string> 
#include <set> 
#include <map> 
#include <unordered_set>
#include <unordered_map>
#include <queue> 
#include <bitset> 
#include <stack>
#include <list>

#include <numeric> 
#include <algorithm> 
#include <random>
#include <chrono>

#include <cstdio>
#include <fstream>
#include <iostream> 
#include <sstream> 
#include <iomanip>
#include <climits>

#include <cctype>
#include <cmath> 
#include <ctime>
#include <cassert>

using namespace std;

#define ULL unsigned long long
#define LL long long
#define PII pair <int, int>
#define VB vector <bool>
#define VI vector <int>
#define VLL vector <LL>
#define VD vector <double>
#define VS vector <string>
#define VPII vector <pair <int, int> >
#define VVI vector < VI >
#define VVB vector < VB >
#define SI set < int >
#define USI unordered_set <int>
#define MII map <int, int>
#define UMII unordered_map <int, int>
#define MS multiset
#define US unordered_set
#define UM unordered_map
#define UMS unordered_multiset
#define UMM unordered_multimap

#define FORN(i, n) for(int i = 0; i < (n); ++i)
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)

#define SZ size()
#define BG begin() 
#define EN end() 
#define CL clear()
#define X first
#define Y second
#define RS resize
#define PB push_back
#define MP make_pair
#define ALL(x) x.begin(), x.end()
#define INS insert
#define ER erase
#define CNT count

int n;
LL k;
VVI g;
VI sz;

void df(int node, int p)
{
	sz[node] = 1;
	for (int next : g[node])
		if (next != p)
		{
			df(next, node);
			sz[node] += sz[next];
		}
}

int main()
{
	cin >> n >> k;
	g.RS(n + 1);
	sz.RS(n + 1);
	FOR(i, 1, n - 1)
	{
		int x, y;
		cin >> x >> y;
		g[x].PB(y);
		g[y].PB(x);
	}
	FOR(i, 1, n) sort(ALL(g[i]));
	df(1, -1);
	int node = (k - 1) / n + 1, parent = -1;
	LL sum = LL(node - 1) * n + 1;
	VI sol;
	sol.PB(node);
	while (sum < k)
	{
		for (int next : g[node])
		{
			if (next == parent) continue;
			int nr = (sz[next] < sz[node]) ? sz[next] : n - sz[node];
			if (sum + nr < k) sum += nr;
			else
			{
				parent = node;
				node = next;
				++sum;
				break;
			}
		}
		sol.PB(node);
	}

	for (int x : sol) cout << x << " ";

	return 0;
}