#include <bits/stdc++.h>

using namespace std;

typedef vector<int> vi;
vector<vi> adjList;
int rez[100001];

int dfs(int cur,int d){
    int md=9999999;
    if(adjList[cur].size()==0)
    {
        rez[cur]=0;
        return 0;
    }
    for(int ctr1=0;ctr1<adjList[cur].size();ctr1++){
        md=min(md,1+dfs(adjList[cur][ctr1],d+1));
    }
    rez[cur]=min(d,md);
    return md;
}

int main()
{

    int n;
    cin>>n;
    for(int ctr1=0;ctr1<n;ctr1++)
    {
        vi t;
        adjList.push_back(t);
        rez[ctr1]=9999999;
    }
    for(int ctr1=0;ctr1<n-1;ctr1++){
        int x,y;
        cin>>x>>y;
        x--;y--;
        adjList[x].push_back(y);
    }
    dfs(0,0);
    for(int ctr1=0;ctr1<n;ctr1++)
        cout<<rez[ctr1]<<endl;
    return 0;
}