CSES - Shared codeLink to this code: https://cses.fi/paste/10b381d157426b8e614e49/
#include<bits/stdc++.h>
using namespace std;
typedef long long int ll;
#define IOS ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>order_set;
typedef pair<int, int>pr;
#define all(i) i.begin() , i.end()
#define ft first
#define sn second
#define pb push_back
#define totalone(mask) __builtin_popcount(mask)
#define chkbit(mask,bit) (mask&(1LL << bit))
#define setbit(mask,bit) (mask|(1LL << bit))
#define cngbit(mask,bit) (mask^(1LL << bit))
#define en "\n"
#define dbg(x) cerr<<#x<<" is : "<<x<<en;
#define yes cout<<"YES\n"
#define no cout<<"NO\n"
#define report cout<<-1<<en
#define sum(n) ((1LL*(n)*(n+1))/ 2LL)
#define sqr(n) (1LL*(n)*(n))
#define vag(a,b) ((a + b - 1)/b)
#define coutv(v) for(auto i: v) cout<<i<<" ";cout<<en;
#define cinv(v) for(auto &i: v) cin >> i;
const int MAXN = 200005;
#define inf 1e15
const int mod = 1e9 + 7;
int n;
vector<int>g[MAXN];
int vis[MAXN];
int niche[MAXN], upore[MAXN];
int an;
void dfs(int nd)
{
vis[nd] = 1;
for (auto i : g[nd])
{
if (vis[i]) continue;
dfs(i);
niche[nd] = max(niche[nd], 1 + niche[i]);
}
}
void dfs2(int nd)
{
vis[nd] = 1;
int mx1 = -1, mx2 = -1;
for (auto i : g[nd])
{
if (vis[i]) continue;
if (mx1 <= niche[i]) {
mx2 = mx1;
mx1 = niche[i];
}
else if (mx2 <= niche[i]) mx2 = niche[i];
}
for (auto i : g[nd])
{
if (vis[i]) continue;
int mx = mx1;
if (mx == niche[i]) mx = mx2;
upore[i] = 1 + max(upore[nd] , 1 + mx);
dfs2(i);
}
}
void solve()
{
cin >> n;
for (int i = 1; i < n; i++)
{
int x, y;
cin >> x >> y;
g[x].pb(y);
g[y].pb(x);
}
dfs(1);
// for (int i = 1; i <= n; i++) cout << niche[i] << " "; cout << en;
memset(vis, 0, sizeof(vis));
dfs2(1);
for (int i = 1; i <= n; i++)
{
cout << max(upore[i], niche[i]) << " \n"[i == n];
}
}
int main()
{
IOS;
ll t;
t = 1;
// cin >> t;
int c = 0;
while ( t-- )
{
// cout<<"Case "<<++c<<": ";
solve();
}
return 0;
}