https://codeforces.com/gym/102694/problem/B

/*
* @Author: dnhirapara
* @Problem: B_Dynamic_Diameter
* @Time: 28-August-2020 : ( 16:10:06 )
*/
#include <bits/stdc++.h>

using namespace std;

/************defination************/

#define endl "\n"
#define logger(x) cout << __LINE__ << ": " << #x << " -> " << (x) << endl;
#define ll long long int
#define ull unsigned long long int

const int size = 3e5 + 5;
vector<int> g[size];
vector<bool> vis(size);
vector<int> deg(size);
int maxDist;
int maxNode;
vector<int> update;
vector<int> update1;
bool secDfs = false;

void dfs(int node, int lvl)
{
    vis[node] = true;
    for (auto i : g[node])
    {
        if (vis[i] == false)
        {
            dfs(i, lvl + 1);
        }
    }
    if (secDfs && maxDist == lvl)
    {
        update.push_back(node);
    }
    if (maxDist < lvl)
    {
        if (secDfs)
        {
            update.clear();
            update.push_back(node);
        }
        maxDist = lvl;
        maxNode = node;
    }
}
int getDia(int n)
{
    //first run
    secDfs = false;
    maxDist = -1;
    for (int i = 0; i < n + 1; i++)
    {
        vis[i] = false;
    }
    dfs(1, 0);

    maxDist = -1;
    int temp = maxNode;
    secDfs = true;
    for (int i = 0; i < n + 1; i++)
    {
        vis[i] = false;
    }
    dfs(maxNode, 0);
    update.push_back(temp);
    update1 = update;

    // second run
    update.clear();
    secDfs = false;
    maxDist = -1;
    for (int i = 0; i < n + 1; i++)
    {
        vis[i] = false;
    }
    dfs(maxNode, 0);

    maxDist = -1;
    temp = maxNode;
    secDfs = true;
    for (int i = 0; i < n + 1; i++)
    {
        vis[i] = false;
    }
    dfs(maxNode, 0);
    update.push_back(temp);
    if (update1.size() < update.size())
    {
        update1 = update;
    }

    //vis false
    for (int i = 0; i < n + 1; i++)
    {
        vis[i] = false;
    }
    return maxDist;
}

//@time comp :
//@space comp :
int main()
{
    // ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    // cin.ignore(); must be there when using getline(cin, s)
    ll tc = 1;
    //cin >> tc;
    while (tc--)
    {
        int n;
        cin >> n;
        int u, v;
        for (int i = 0; i < n - 1; i++)
        {
            cin >> u >> v;
            g[u].push_back(v);
            g[v].push_back(u);
        }
        int degR = getDia(n);
        for (auto i : update1)
        {
            vis[i] = true;
        }
        for (int i = 1; i <= n; i++)
        {
            if (vis[i])
            {
                cout << degR + 1 << endl;
            }
            else
            {
                cout << degR << endl;
            }
        }
    }
    return 0;
}