#include <bits/stdc++.h>

using namespace std;

int R[100005];
int L[100005];
vector <int> adj[100005];
int n, x, y;

void dfs(int now,int prev)
{
	for (auto next : adj[now])
	{
		if (prev == next) continue;
		R[next] = R[now] + 1;
		dfs(next, now);
	}
}

int solve(int now, int prev)
{
	if (L[now] != -1)
	{
		return L[now];
	}
	int res = 1e9;
	for (auto next : adj[now])
	{
		if (prev == next)
		{
			continue;
		}
		res = min(res, solve(next, now) + 1);
	}
	if (res >= 1e9)
	{
		res = 0;
	}
	L[now] = res;
	return L[now];
}

void dfs2(int now, int prev, int U)
{
	multiset <int> S;
	L[now] = min(L[now], U);
	for (auto next : adj[now])
	{
		if (next == prev) continue;
		S.insert(L[next] + 1);
	}
	for (auto next : adj[now])
	{
		if (prev == next) continue;
		S.erase(L[next] + 1);
		if (!S.empty())
		{
			int MIN = *S.begin();
			MIN = min(MIN + 1, U);
			dfs2(next, now, MIN);
		}
		else
		{
			dfs2(next, now, U);
		}
		S.insert(L[next] + 1);
	}
}
int main(void)
{
	cin.tie(0);
	ios::sync_with_stdio(false);
	
	cin >> n;

	for (int i = 0; i < n - 1; i++)
	{
		cin >> x >> y;
		adj[x].push_back(y);
		adj[y].push_back(x);
	}

	memset(L, -1, sizeof(L));
	R[1] = 0;
	dfs(1, 0);
	solve(1, 0);
	dfs2(1, 0, 1e9);
	for (int i = 1; i <= n; i++)
	{
		cout << min(L[i], R[i]) << '\n';
	}


	return 0;
}