Problem: 2063C - Remove Exactly Two
Language: java

Solution 1 (runtime: 1140 ms):

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;

public class C {
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(
                    new InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                if (st.hasMoreTokens()) {
                    str = st.nextToken("\n");
                } else {
                    str = br.readLine();
                }
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    public  static class Pair{
        int vtx;
        long deg;
        Pair(int vtx,long deg){
            this.vtx=vtx;
            this.deg=deg;
        }

        public long getDeg() {
            return this.deg;
        }
    }
    public static void main(String[] args) {
        FastReader sc = new FastReader();
        int t = sc.nextInt();
        while (t != 0) {
            t--;
            int n = sc.nextInt();
            TreeSet<Integer>[] graph=new TreeSet[n+1];
            for (int i = 0; i <= n; i++) {
                graph[i]=new TreeSet<>();
            }

            for (int i = 1; i <=n-1 ; i++) {
                int u= sc.nextInt();
                int v= sc.nextInt();
                graph[u].add(v);
                graph[v].add(u);
            }
            Pair[] d=new Pair[n];
            for (int i = 0; i <n ; i++) {
                d[i]=new Pair(i+1,graph[i+1].size());
            }
            long ans=Long.MIN_VALUE;
//            long c=0;
            for (int i=1;i<=n;i++){
                for (int nbr:graph[i]){
                    ans=Math.max(ans,graph[i].size()+graph[nbr].size()-2);
//                    ++c;
                }
            }
//            System.out.println(ans);
            Arrays.sort(d, Comparator.comparing(Pair::getDeg).reversed());
//            for (Pair p:d) {
////                System.out.println(p.vtx+" "+p.deg);
//            }
            for (int i = 0; i <n ; i++) {
                int src=d[i].vtx;
//                System.out.print(src+" ");
                for (int j = i+1; j < n; j++) {
                    int nbr=d[j].vtx;
//                    System.out.print(nbr);
                    if (j!=i && !graph[src].contains(nbr)){
//                        System.out.println(src+" "+nbr);
                        ans=Math.max(ans,graph[src].size()+graph[nbr].size()-1);
                        break;
                    }
                }
//                System.out.println();
            }

            System.out.println(ans);

        }
    }
}


Solution 2 (runtime: 1843 ms):
// https://codeforces.com/problemset/problem/2063/C

import java.util.*;

public class Main
{
    private static void dfs_dp (int v, int p, final ArrayList<Integer>[] tree, int[] dp)
    {
        for (int to : tree[v])
        if (to != p)
        {
            dfs_dp(to, v, tree, dp);

            dp[v] = Math.max(dp[v], Math.max(dp[to], tree[to].size()));
        }
    }

    private static int dfs_ans (int v, int p, final ArrayList<Integer>[] tree, final int[] dp)
    {
        int ans = 0;

        for (int to : tree[v])
        if (to != p)
            ans = Math.max(ans, dfs_ans(to, v, tree, dp));

        for (int to : tree[v])
        if (to != p)
            ans = Math.max(ans, tree[v].size()-1 + Math.max(tree[to].size() - 1, dp[to]));
        
        int maxi = -1;

        for (int to : tree[v])
        if (to != p)
        {
            int cur = Math.max(tree[to].size(), dp[to]);

            if (maxi != -1)
                ans = Math.max(ans, maxi + cur - 1);
            
            maxi = Math.max(maxi, cur);
        }

        return ans;
    }
    
    private static void solve (Scanner in)
    {
        int n = in.nextInt();

        ArrayList<Integer>[] tree = new ArrayList[n];

        for (int i = 0; i < n; i++)
            tree[i] = new ArrayList<Integer>();

        for (int i = 1; i < n; i++)
        {
            int u = in.nextInt() - 1;
            int v = in.nextInt() - 1;

            tree[u].add(v);
            tree[v].add(u);
        }

        int[] dp = new int[n];

        for (int i = 0; i < n; i++)
            dp[i] = 0;

        dfs_dp(0, -1, tree, dp);
        
        int ans = dfs_ans(0, -1, tree, dp);

        System.out.println(ans);
    }

    public static void main(String[] args)
    {
        Scanner in = new Scanner(System.in);

        int t = in.nextInt();

        for (int test = 0; test < t; test++)
            solve(in);

        in.close();
    }
}