Problem: 2063C - Remove Exactly Two
Language: java

Solution 1 (runtime: 702 ms):
import javax.swing.tree.TreeNode;
import java.io.*;
import java.util.*;

/**
 * @Author: _Djhhh
 * @Introduction：
 */

public class Main {
    static FastReader fr = new FastReader();
    static FastWriter fw = new FastWriter();

    public static void solve() {
        int n=fr.nextInt();
        int[] in = new int[n];
        ArrayList<ArrayList<Integer>> to = new ArrayList<>();
        for(int i=0;i<n;i++){
            to.add(new ArrayList<>());
        }
        for(int i=0;i<n-1;i++){
            int x=fr.nextInt()-1;
            int y=fr.nextInt()-1;
            in[x]++;
            in[y]++;
            to.get(x).add(y);
            to.get(y).add(x);
        }
        int mx=0;
        int id1=0;
        for(int i=0;i<n;i++){
            if(in[i]>=mx){
                mx=in[i];
                int cnt=0;
                for(var y:to.get(i)){
                    if(in[y]==mx)cnt++;
                }
                if(cnt>=2)continue;
                id1=i;
            }
        }
        for(var y:to.get(id1)){
            in[y]--;
        }
        in[id1]=0;
        int mn=0;
        for(int i=0;i<n;i++){
            if(in[i]>=mn&&i!=id1){
                mn=in[i];
            }
        }
        fw.println((mx+mn-1));
    }

    public static void main(String[] args) {
        int t = 1;
        t = fr.nextInt();
        while (t-- > 0) solve();
    }
}

class DSU {
    int n;
    int[] fa;
    int[] dep;
    int[] siz;
    int[] edges;
    boolean[] v;
    DSU(int n) {
        fa = new int[n];
        dep = new int[n];
        siz = new int[n];
        edges = new int[n];
        v = new boolean[n];
        for (int i = 0; i < n; i++) {
            fa[i] = i;
            dep[i] = 0;
            siz[i] = 1;
            edges[i] = 0;
            v[i]=false;
        }
    }
    int look(int x) {
        if (fa[x] == x) return x;
        else return fa[x] = look(fa[x]);
    }
    void merge(int x, int y) {
        v[x]=v[y]=true;
        int xx = look(x);
        int yy = look(y);
        if (xx == yy) return;
        edges[xx] += edges[yy] + 1;
        siz[xx] += siz[yy];
        if (dep[xx] < dep[yy]) {
            fa[xx] = yy;
        } else {
            fa[yy] = xx;
        }

        if (dep[xx] == dep[yy]) dep[xx]++;
    }
    boolean isMerge(int x, int y) {
        return look(x) == look(y);
    }
    int getSize(int x) {
        return siz[look(x)];
    }
    int getEdges(int x) {
        return edges[look(x)];
    }
}
class Pair<T1, T2> {
    private T1 first;
    private T2 second;

    public Pair(T1 first, T2 second) {
        this.first = first;
        this.second = second;
    }
    public void setFirst(T1 first) {
        this.first=first;
    }

    public void setSecond(T2 second) {
        this.second=second;
    }
    public T1 getFirst() {
        return first;
    }

    public T2 getSecond() {
        return second;
    }
}
class Algorithm {
    /**
     * 查找第一个大于等于 x 的位置
     * @param arr 查找数组
     * @param x 值
     * @param L 左边界
     * @param R 右边界
     * @return 第一个大于等于 x 的位置
     */
    public static int lowBs(int[] arr, long x, int L, int R){
        int l = L;
        int r = R;
        int res = R + 1;
        while(l <= r){
            int mid = l+r>>1;
            if(arr[mid] >= x){
                res = mid;
                r = mid - 1;
            }
            else{
                l = mid + 1;
            }
        }
        return res;
    }

    /**
     * 查找第一个大于 x 的位置
     * @param arr 查找数组
     * @param x 值
     * @param L 左边界
     * @param R 右边界
     * @return 第一个大于 x 的位置
     */
    public static int highBs(int[] arr, long x, int L, int R) {
        int l = L;
        int r = R;
        int res = R + 1;
        while(l <= r){
            int mid = l+r>>1;
            if(arr[mid] > x){
                res = mid;
                r = mid -1;
            }
            else{
                l = mid +1;
            }
        }
        return res;
    }
}
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 {
            str = br.readLine();
        } catch (IOException e) {
            e.printStackTrace();
        }
        return str;
    }

    int[] nextIntArray() {
        String line = nextLine();
        String[] strNums = line.split("\\s+");
        int[] arr = new int[strNums.length];
        for (int i = 0; i < strNums.length; i++) {
            arr[i] = Integer.parseInt(strNums[i]);
        }
        return arr;
    }

    long[] nextLongArray() {
        String line = nextLine();
        String[] strNums = line.split("\\s+");
        long[] arr = new long[strNums.length];
        for (int i = 0; i < strNums.length; i++) {
            arr[i] = Long.parseLong(strNums[i]);
        }
        return arr;
    }

    char[] nextCharArray() {
        String line = nextLine();
        String[] strNums = line.split("\\s+");
        char[] arr = new char[strNums.length];
        for (int i = 0; i < strNums.length; i++) {
            arr[i] = strNums[i].charAt(0);
        }
        return arr;
    }

    char[] StringtoChar() {
        String line = nextLine();
        return line.toCharArray();
    }
}
class FastWriter {
    private final PrintWriter writer;

    public FastWriter() {
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)), true);
    }

    public void print(Object object) {
        writer.print(object);
    }

    public void println(Object object) {
        writer.println(object);
    }

    public void flush() {
        writer.flush();
    }
}

Solution 2 (runtime: 1093 ms):
  
/* package codechef; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

public class Main {

    //------------------------------------------main--------------------------------------------------//
    public static void main(String[] args) throws java.lang.Exception {
        OutputStream outputStream = System.out;
        PrintWriter out = new PrintWriter(outputStream);
        FastReader sc = new FastReader();
        Task s = new Task(sc, out);
        s.solve();
        out.close();
        // your code goes here"
    }
}

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 {
            str = br.readLine();
        } catch (IOException e) {
            e.printStackTrace();
        }
        return str;
    }

    public int[] readIntArray(int n) throws IOException {
        int[] arr = new int[n];
        for (int i = 0; i < n; i++) {
            arr[i] = nextInt();
        }
        return arr;
    }

    public long[] readLongArray(int n) throws IOException {
        long[] arr = new long[n];
        for (int i = 0; i < n; i++) {
            arr[i] = nextLong();
        }
        return arr;
    }
}

class Task {

    PrintWriter out;
    FastReader sc;

    Task(FastReader sc, PrintWriter out) {
        this.sc = sc;
        this.out = out;
    }
    //----------------------------------------------inputfunction------------------------------------------//

    String st() {
        return sc.nextLine();
    }

    int i() {
        return sc.nextInt();
    }

    long l() {
        return sc.nextLong();
    }

    double d() {
        return sc.nextDouble();
    }

    //---------------------------------------------absolute----------------------------------------------//
    public long abs(long a) {
        return a < 0 ? -a : a;
    }

    public int abs(int a) {
        return a < 0 ? -a : a;
    }

    //-------------------------------------------max--------------------------------------------------//
    public int max(int a, int b) {
        return a >= b ? a : b;
    }

    public long max(long a, long b) {
        return a >= b ? a : b;
    }

    public int max(int a, int b, int c) {
        return Math.max(a, Math.max(b, c));
    }

    public long max(long a, long b, long c) {
        return Math.max(a, Math.max(b, c));
    }

    //------------------------------------------min---------------------------------------------------//
    public int min(int a, int b) {
        return a <= b ? a : b;
    }

    public long min(long a, long b) {
        return a <= b ? a : b;
    }

    public int min(int a, int b, int c) {
        return Math.min(a, Math.min(b, c));
    }

    public long min(long a, long b, long c) {
        return Math.min(a, Math.min(b, c));
    }

    //----------------------------------------sortingfunction---------------------------------------------//
    private void sort(int[] arr) {
        int n = arr.length;
        List<Integer> list = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            list.add(arr[i]);
        }
        Collections.sort(list);
        for (int i = 0; i < n; i++) {
            arr[i] = list.get(i);
        }
    }

    private void sort(char[] arr) {
        int n = arr.length;
        List<Character> list = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            list.add(arr[i]);
        }
        Collections.sort(list);
        for (int i = 0; i < n; i++) {
            arr[i] = list.get(i);
        }
    }

    private void rsort(char[] arr) {
        int n = arr.length;
        List<Character> list = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            list.add(arr[i]);
        }
        Collections.sort(list, Collections.reverseOrder());
        for (int i = 0; i < n; i++) {
            arr[i] = list.get(i);
        }
    }

    private void rsort(int[] arr) {
        int n = arr.length;
        List<Integer> list = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            list.add(arr[i]);
        }
        Collections.sort(list, Collections.reverseOrder());
        for (int i = 0; i < n; i++) {
            arr[i] = list.get(i);
        }
    }

    private void sort(long[] arr) {
        int n = arr.length;
        List<Long> list = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            list.add(arr[i]);
        }
        Collections.sort(list);
        for (int i = 0; i < n; i++) {
            arr[i] = list.get(i);
        }
    }

    private void rsort(long[] arr) {
        int n = arr.length;
        List<Long> list = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            list.add(arr[i]);
        }
        Collections.sort(list, Collections.reverseOrder());
        for (int i = 0; i < n; i++) {
            arr[i] = list.get(i);
        }
    }
    //---------------------------------------power----------------------------------------------------//

    public long pow(long a, int b) {
        long ans = 1L;
        while (b > 0) {
            if ((b & 1) > 0) {
                ans *= a;
            }
            a *= a;
            b >>= 1;
        }
        return b;
    }
    //----------------------------------------binary_exponentiation-----------------------------------//

    public long exp(long a, long b, long mod) {
        long ans = 1L;
        while (b > 0) {
            if ((b & 1) > 0) {
                ans = (ans * a) % mod;
            }
            a = (a * a) % mod;
            b >>= 1;
        }
        return ans;
    }
    int t;
    public void solve() throws IOException {
        t = sc.nextInt();
        while (t-- > 0) {
            int n = i();
            List<Set<Integer>> a = new ArrayList<>();
            int[][] in = new int[n+1][2];
            for(int i =0;i<=n;i++){
                a.add(new HashSet<>());
                in[i][1] = i;
            }
            for(int i = 1;i<n;i++){
                int x = i(), y = i();
                a.get(x).add(y);
                a.get(y).add(x);
                in[x][0]++; in[y][0]++;
            }
            Arrays.sort(in, (x, y) -> y[0] - x[0]);
            int ans = 0;
            for(int i = 1;i<=n;i++){
                for(int e: a.get(i)){
                    ans = max(ans, a.get(i).size() + a.get(e).size() - 2);
                }
            }
            for(int i = 0;i<n;i++){
                for(int j = i+1;j<n;j++){
                    if(a.get(in[i][1]).contains(in[j][1])) continue;
                    ans = max(ans, in[i][0] + in[j][0] - 1);
                    break;
                }
            }
            out.print(ans);
            out.print("\n");
        }
    }
}