description: A bracket sequence is a string containing only characters "(" and ")". A regular bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting characters "1" and "+" between the original characters of the sequence. For example, bracket sequences "()()" and "(())" are regular (the resulting expressions are: "(1)+(1)" and "((1+1)+1)"), and ")(", "(" and ")" are not.
  
  You are given an integer n. Your goal is to construct and print exactly n different regular bracket sequences of length 2n.
  
  Input
  
  The first line contains one integer t (1 ≤ t ≤ 50) — the number of test cases.
  
  Each test case consists of one line containing one integer n (1 ≤ n ≤ 50).
  
  Output
  
  For each test case, print n lines, each containing a regular bracket sequence of length exactly 2n. All bracket sequences you output for a testcase should be different (though they may repeat in different test cases). If there are multiple answers, print any of them. It can be shown that it's always possible.
  
  Example
  
  Input
  
  
  3
  3
  1
  3
  
  
  Output
  
  
  ()()()
  ((()))
  (()())
  ()
  ((()))
  (())()
  ()(())
solution: import java.io.BufferedReader;
  import java.io.FileInputStream;
  import java.io.FileNotFoundException;
  import java.io.IOException;
  import java.io.InputStreamReader;
  import java.util.*;
  import java.io.PrintStream;
          
              public class Solution {
  
                  public static boolean Local(){
                      try{ 
                          return System.getenv("LOCAL_SYS")!=null;
                      }catch(Exception e){
                          return false;
                      }
                  }   
  
                  public static boolean LOCAL;
  
                  static class FastScanner {
  
                          BufferedReader br;
                          StringTokenizer st ;
  
                          FastScanner(){
                              br =  new BufferedReader(new InputStreamReader(System.in));
                              st = new StringTokenizer("");
                          }
  
                          FastScanner(String file) {
  
                              try{
                                  br =  new BufferedReader(new InputStreamReader(new FileInputStream(file)));
                                  st = new StringTokenizer("");
                              }catch(FileNotFoundException e) {
                                  // TODO Auto-generated catch block
                                  System.out.println("file not found");
                                  e.printStackTrace();
                              }
                              
                          }
                          
  
                          String next() {
                              while (!st.hasMoreTokens())
                                  try {
                                      st = new StringTokenizer(br.readLine());
                                  } catch (IOException e) {
                                  }
                              return st.nextToken();
                          }
  
                          int nextInt() {
                              return Integer.parseInt(next());
                          }
  
                          long nextLong() {
                              return Long.parseLong(next());
                          }
                          String readLine() throws IOException{
                              return br.readLine();
                          }
                      }
                                          
                  static class Pair<T,X> {
  
                      T first;
                      X second;
                      
                      Pair(T first,X second){
                          this.first = first;
                          this.second = second;
                      }
  
                      @Override
                      public int hashCode(){
                          return Objects.hash(first,second);
                      }
  
                      @Override
                      public boolean equals(Object obj){
                          return obj.hashCode() == this.hashCode();
                      }
  
                  }
  
              
              static PrintStream debug = null;
              
              
              static long mod = (long)(Math.pow(10,9) + 7); 
              
  
              public static void main(String[] args) throws Exception {
                  
                  FastScanner s = new FastScanner();
  
                  LOCAL = Local();
  
                  
                  if(LOCAL){
                      s = new FastScanner("src/input.txt");
                      PrintStream o = new PrintStream("src/sampleout.txt");
                      debug = new PrintStream("src/debug.txt");
                      System.setOut(o);
                  }
  
                  
                  long mod = 1000000007;
  
              
                  int tcr = s.nextInt();                  
                  
                  StringBuilder sb = new StringBuilder();
  
  
                  for(int tc=0;tc<tcr;tc++){
                      int n = s.nextInt();
                      int open = n;
                      int close = n;
                      Set<String> set = new HashSet<>();
                      solve("",open,close,set,n);
                      for(String str : set){
                          sb.append(str);
                          sb.append('\n');
                      }
                  }
  
                  print(sb.toString());
  
              }
  
              public static void solve(String curr,int open,int close,Set<String> set,int n){
  
                  if(set.size() == n){
                      return;
                  }
                  if(open == 0 && close == 0){
                      set.add(curr);
                      return;
                  }
                  if(open > 0){
                      solve(curr+"(",open-1,close,set,n);
                  }
                  if(open < close){
                      solve(curr+")",open,close-1,set,n);
                  }
                  // if(open == 0){
                  //     for(int i=0;i<close;i++){
                  //         curr+=")";
                  //     }
                  //     solve(curr,0,0,set,n);
                  // }
              }
  
              public static boolean inRange(int r1,int r2,int val){
                  return ((val >= r1) && (val <= r2));
              }
  
              static int len(long num){
                  return Long.toString(num).length();
              }
  
              static long mulmod(long a, long b,long mod)
              {
                  long ans = 0l;
                  
                  while(b > 0){
                      long curr = (b & 1l);
                      if(curr == 1l){
                          ans = ((ans % mod) + a) % mod;
                      }
                      
                      a = (a + a) % mod;
  
                      b = b >> 1;
                  }
  
                  return ans;
              }
  
  
              public static void dbg(PrintStream ps,Object... o) throws Exception{
                  if(ps == null){
                      return;
                  }
                  Debug.dbg(ps,o);
              }
  
              public static long modpow(long num,long pow,long mod){
  
                  long val = num;
                  long ans = 1l;
  
                  while(pow > 0l){
                      
                      long bit = pow & 1l;
  
                      if(bit == 1){
                          ans = (ans * (val%mod))%mod;
                      }
  
                      val = (val * val) % mod;
                      pow = pow >> 1;
                  }
  
                  return ans;
  
              }
  
              public static char get(int n){
                  return (char)('a' + n);
              }
  
              public static long[] sort(long arr[]){
                  List<Long> list = new ArrayList<>();
                  for(long n : arr){list.add(n);}
                  Collections.sort(list);
                  for(int i=0;i<arr.length;i++){
                      arr[i] = list.get(i);
                  }
                  return arr;
              }
  
              public static int[] sort(int arr[]){
                  List<Integer> list = new ArrayList<>();
                  for(int n : arr){list.add(n);}
                  Collections.sort(list);
                  for(int i=0;i<arr.length;i++){
                      arr[i] = list.get(i);
                  }
                  return arr;
              }
  
              // return the (index + 1)
              // where index is the pos of just smaller element
              // i.e count of elemets strictly less than num
              public static int justSmaller(long arr[],long num){
                  //  System.out.println(num+"@");
                  int st = 0;
                  int e = arr.length - 1;
          
                  int ans = -1;
          
                  while(st <= e){
          
                      int mid = (st + e)/2;
          
                      if(arr[mid] >= num){
                          e = mid - 1;
                      }else{
                          ans = mid;
                          st = mid + 1;
                      }
          
                  }
          
          
                  return ans + 1;
          
              }
              public static int justSmaller(int arr[],int num){
                  //  System.out.println(num+"@");
                  int st = 0;
                  int e = arr.length - 1;
          
                  int ans = -1;
          
                  while(st <= e){
          
                      int mid = (st + e)/2;
          
                      if(arr[mid] >= num){
                          e = mid - 1;
                      }else{
                          ans = mid;
                          st = mid + 1;
                      }
          
                  }
          
          
                  return ans + 1;
          
              }
              
              //return (index of just greater element)
              //count of elements smaller than or equal to num
  
              public static int justGreater(long arr[],long num){
                  int st = 0;
                  int e = arr.length - 1;
          
                  int ans = arr.length;
          
                  while(st <= e){
                      
                      int mid = (st + e)/2;
          
                      if(arr[mid] <= num){
                          st = mid + 1;
                      }else{
                          ans = mid;
                          e = mid - 1;
                      }
                  }
          
                  return ans;
          
              }
  
              public static int justGreater(int arr[],int num){
                  int st = 0;
                  int e = arr.length - 1;
          
                  int ans = arr.length;
          
                  while(st <= e){
                      
                      int mid = (st + e)/2;
          
                      if(arr[mid] <= num){
                          st = mid + 1;
                      }else{
                          ans = mid;
                          e = mid - 1;
                      }
                  }
          
                  return ans;
          
              }
          
              
  
              public static void println(Object obj){
                  System.out.println(obj.toString());
              }
  
              public static void print(Object obj){
                  System.out.print(obj.toString());
              }
  
              public static int gcd(int a,int b){
                  if(b == 0){return a;}
                  return gcd(b,a%b);
              }
  
              public static long gcd(long a,long b){
                  if(b == 0l){
                      return a;
                  }
  
                  return gcd(b,a%b);
              }
  
              public static int find(int parent[],int v){
                  if(parent[v] == v){
                      return v;
                  }
                  
                  return parent[v] = find(parent, parent[v]);
              }
  
          
  
              public static List<Integer> sieve(){
              
                      List<Integer> prime = new ArrayList<>();
  
                      int arr[] = new int[100001];
  
                  Arrays.fill(arr,1);
  
                  arr[1] = 0;
                  arr[2] = 1;
  
                  for(int i=2;i<=100000;i++){
                      
                      if(arr[i] == 1){
                          
                          prime.add(i);
  
                          for(long j = (i*1l*i);j<100001;j+=i){
                              arr[(int)j] = 0;
                          }
                      }
                  }
  
                  return prime;
              }
  
              static boolean isPower(long n,long a){
                  
                  long log = (long)(Math.log(n)/Math.log(a));
  
                  long power = (long)Math.pow(a,log);
  
                  if(power == n){return true;}
  
                  return false;
              }
  
  
              private static int mergeAndCount(int[] arr, int l,int m, int r)
              {
  
                  // Left subarray
                  int[] left =  Arrays.copyOfRange(arr, l, m + 1);
  
                  // Right subarray
                  int[] right = Arrays.copyOfRange(arr, m + 1, r + 1);
  
                  int i = 0, j = 0, k = l, swaps = 0;
  
                  while (i < left.length && j < right.length) {
                      if (left[i] <= right[j])
                          arr[k++] = left[i++];
                      else {
                          arr[k++] = right[j++];
                          swaps += (m + 1) - (l + i);
                      }
                  }
                  while (i < left.length)
                      arr[k++] = left[i++];
                  while (j < right.length)
                      arr[k++] = right[j++];
                  return swaps;
              }
  
              // Merge sort function
              private static int mergeSortAndCount(int[] arr, int l,int r)
              {
  
                  // Keeps track of the inversion count at a
                  // particular node of the recursion tree
                  int count = 0;
  
                  if (l < r) {
                      int m = (l + r) / 2;
  
                      // Total inversion count = left subarray count
                      // + right subarray count + merge count
  
                      // Left subarray count
                      count += mergeSortAndCount(arr, l, m);
  
                      // Right subarray count
                      count += mergeSortAndCount(arr, m + 1, r);
  
                      // Merge count
                      count += mergeAndCount(arr, l, m, r);
                  }
  
                  return count;
              }
  
              static class Debug{
                  //change to System.getProperty("ONLINE_JUDGE")==null; for CodeForces
                  public static final boolean LOCAL = System.getProperty("ONLINE_JUDGE")==null;
  
                  
  
                  private static <T> String ts(T t) {
                      if(t==null) {
                          return "null";
                      }
                      try {
                          return ts((Iterable) t);
                      }catch(ClassCastException e) {
                          if(t instanceof int[]) {
                              String s = Arrays.toString((int[]) t);
                              return "{"+s.substring(1, s.length()-1)+"}\n";
                          }else if(t instanceof long[]) {
                              String s = Arrays.toString((long[]) t);
                              return "{"+s.substring(1, s.length()-1)+"}\n";
                          }else if(t instanceof char[]) {
                              String s = Arrays.toString((char[]) t);
                              return "{"+s.substring(1, s.length()-1)+"}\n";
                          }else if(t instanceof double[]) {
                              String s = Arrays.toString((double[]) t);
                              return "{"+s.substring(1, s.length()-1)+"}\n";
                          }else if(t instanceof boolean[]) {
                              String s = Arrays.toString((boolean[]) t);
                              return "{"+s.substring(1, s.length()-1)+"}\n";
                          }
                          try {
                              return ts((Object[]) t);
                          }catch(ClassCastException e1) {
                              return t.toString();
                          }
                      }
                  }
                  private static <T> String ts(T[] arr) {
                      StringBuilder ret = new StringBuilder();
                      ret.append("{");
                      boolean first = true;
                      for(T t: arr) {
                          if(!first) {
                              ret.append(", ");
                          }
                          first = false;
                          ret.append(ts(t));
                      }
                      ret.append("}");
                      return ret.toString();
                  }
                  private static <T> String ts(Iterable<T> iter) {
                      StringBuilder ret = new StringBuilder();
                      ret.append("{");
                      boolean first = true;
                      for(T t: iter) {
                          if(!first) {
                              ret.append(", ");
                          }
                          first = false;
                          ret.append(ts(t));
                      }
                      ret.append("}");
                      return ret.toString();
                  }
                  public static void dbg(PrintStream ps,Object... o) throws Exception {
                      if(LOCAL) {
                          System.setErr(ps);
                          System.err.print("Line #"+Thread.currentThread().getStackTrace()[2].getLineNumber()+": [");
                          for(int i = 0; i<o.length; i++) {
                              if(i!=0) {
                                  System.err.print(", ");
                              }
                              System.err.print(ts(o[i]));
                          }
                          System.err.println("]");
                      }
                  }
              }
  
      }