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#include <bits/stdc++.h>
 
using namespace std;
 
#define ll long long
#define value first
#define index second
 
#define EGRY                          \
    ios_base::sync_with_stdio(false); \
    cin.tie(NULL);
 
const int MAX = 2 * 1e5 + 1000;
const int MOD = 1e9 + 7;
const int OO = INT_MAX;
 
const double EPS = (double)1e-9;
 
vector<int> graph[MAX];
 
int mx = -1, mx_node = -1;
vector<int> diameter(2);
 
vector<vector<int>> from_leafs;
 
void dfs(int root, int par = -1, int depth = 0)
{
 
    if (depth > mx)
    {
        mx = depth;
        mx_node = root;
    }
 
    for (auto &child : graph[root])
    {
        if (child != par)
        {
            dfs(child, root, depth + 1);
        }
    }
}
 
void bfs(int root, bool leaf)
{
 
    queue<int> q;
    q.push(root);
    from_leafs[leaf][root] = 0;
 
    int level = 0, size = (ll)q.size();
 
    unordered_map<int, int> vis;
    vis[root] = true;
 
    while (!q.empty())
    {
        while (size--)
        {
            int cur = q.front();
            q.pop();
 
            from_leafs[leaf][cur] = level;
 
            for (auto &child : graph[cur])
            {
                if (!vis.count(child))
                {
                    vis[child] = true;
                    q.push(child);
                }
            }
        }
        size = (ll)q.size(), level++;
    }
}
 
void solve()
{
 
    int n;
    cin >> n;
    for (int i = 0; i < n - 1; i++)
    {
        int x, y;
        cin >> x >> y;
        graph[x].push_back(y);
        graph[y].push_back(x);
    }
 
    dfs(1, -1, 0);
    diameter[0] = mx_node;
 
    mx = -1;
    dfs(mx_node, -1, 0);
    diameter[1] = mx_node;
 
    from_leafs = vector<vector<int>>(2, vector<int>(n + 1));
 
    bfs(diameter[0], 0);
    bfs(diameter[1], 1);
 
    for (int i = 1; i <= n; i++)
    {
        cout << max(from_leafs[0][i], from_leafs[1][i]) << " ";
    }
}
 
int main()
{
    EGRY
        ll t = 1;
    // cin >> t;
 
    while (t--)
    {
        solve();
    }
 
    return 0;
}

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