#include <bits/stdc++.h>

using namespace std;

#define FOR(a, b, c) for(int a = b; a < c; a++)

const int N = 3e5 + 7;

vector<int> graf[N];
int res[N];

int n, q;

void dfs(int u, int bred, int x, int y) {
	if (bred == 0) {
		return;
	}
	
	// cerr << "U:" << u << " " << bred << " " << x << " " << y << "\n";
	
	if (graf[u].size() == 0) {
		for (int i = y; i < q; i += x) {
			res[i] = u;
		}
		
		return;
	}

	
	int temp = bred / graf[u].size();
	
	int temp2 = bred - temp * graf[u].size();
		
	int id = 0;
	for (auto v : graf[u]) {
		int b = temp + (temp2 > 0);
		temp2--;
		
		// x, y
		
		// graf[u].size(), id
		// nx, ny
		
		int nx = x * graf[u].size();
		int ny = id * x + y;
		
		id++;
		
		dfs(v, b, nx, ny);
	}
}

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> n >> q;
	
	FOR(i, 1, n) {
		int p; cin >> p;
		graf[p].push_back(i);
	}
	
	dfs(0, q, 1, 0);
	
	FOR(i, 0, q) {
		cout << res[i] << "\n";
	}
}