n students attended the first meeting of the Berland SU programming course (n is even). All students will be divided into two groups. Each group will be attending exactly one lesson each week during one of the five working days (Monday, Tuesday, Wednesday, Thursday and Friday), and the days chosen for the groups must be different. Furthermore, both groups should contain the same number of students.

Each student has filled a survey in which they told which days of the week are convenient for them to attend a lesson, and which are not. 

Your task is to determine if it is possible to choose two different week days to schedule the lessons for the group (the first group will attend the lesson on the first chosen day, the second group will attend the lesson on the second chosen day), and divide the students into two groups, so the groups have equal sizes, and for each student, the chosen lesson day for their group is convenient.

Input

The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of testcases.

Then the descriptions of t testcases follow.

The first line of each testcase contains one integer n (2 ≤ n ≤ 1 000) — the number of students.

The i-th of the next n lines contains 5 integers, each of them is 0 or 1. If the j-th integer is 1, then the i-th student can attend the lessons on the j-th day of the week. If the j-th integer is 0, then the i-th student cannot attend the lessons on the j-th day of the week. 

Additional constraints on the input: for each student, at least one of the days of the week is convenient, the total number of students over all testcases doesn't exceed 10^5.

Output

For each testcase print an answer. If it's possible to divide the students into two groups of equal sizes and choose different days for the groups so each student can attend the lesson in the chosen day of their group, print "YES" (without quotes). Otherwise, print "NO" (without quotes). 

Example

Input


2
4
1 0 0 1 0
0 1 0 0 1
0 0 0 1 0
0 1 0 1 0
2
0 0 0 1 0
0 0 0 1 0


Output


YES
NO

Note

In the first testcase, there is a way to meet all the constraints. For example, the first group can consist of the first and the third students, they will attend the lessons on Thursday (the fourth day); the second group can consist of the second and the fourth students, and they will attend the lessons on Tuesday (the second day).

In the second testcase, it is impossible to divide the students into groups so they attend the lessons on different days.
import java.io.*;
import java.util.*;
import java.math.BigDecimal;
import java.math.*;

public class Main{
	static int min=Integer.MAX_VALUE;
	public static void main(String[] args) {
	    
	      TaskA solver = new TaskA();
//	      boolean[]prime=seive(3*100001);
	      
	      int t = in.nextInt();
	      for (int i = 1; i <= t ; i++) {
	          solver.solve(i, in, out);
	      }
	     
	      
//	      solver.solve(1, in, out);
	      
	      
	      out.flush();
	    out.close();
	  }
	
	
//	static ArrayList<Integer>arr=new ArrayList<>();
//	static int[]price;
	 static class TaskA {
	      public void solve(int testNumber, InputReader in, PrintWriter out) {
	    	  int n= in.nextInt();
	    	  int [][]arr=new int[n][5];
	    	  for(int i=0;i<n;i++) {
	    		  for(int j=0;j<5;j++) {
	    			  arr[i][j]=in.nextInt();
	    		  }
	    	  }
	    	  
	    	  for(int j=0;j<4;j++) {
	    		  for(int k=j+1;k<5;k++) {
	    			  int day1=0;int day2=0;int neutral=0;
	    			  for(int i=0;i<n;i++) {
	    				  if(arr[i][j]==1 && arr[i][k]==0) {day1++;}
	    				  else if(arr[i][j]==0&&arr[i][k]==1) {day2++;}
	    				  else if(arr[i][j]==1&&arr[i][k]==1) {neutral++;}
	    			  }
	    			  int min=Math.min(day1, day2);int max=Math.max(day1, day2);
	    			  
	    			  if(min+neutral>=max&&min+neutral>=n/2) {println("YES");return;}
	    		  }
	    	  }
	    	  println("NO");
	      }

		
	 }
	 static long pow(long b, long e) {
	        long ans = 1;
	        while (e > 0) {
	            if (e % 2 == 1)
	                ans = ans * b % mod;
	            e >>= 1;
	            b = b * b % mod;
	        }
	        return ans;
	    }
	 static int[] shift (int[]inp,int i,int j){
		 int[]arr=new int[j-i+1];
		 int n=j-i+1;
		 for(int k=i;k<=j;k++) {
			 arr[(k-i+1)%n]=inp[k];
		 }
		 for(int k=0;k<n;k++ ) {
			 inp[k+i]=arr[k];
		 }
		 return inp;
	 }
	 static int sumDigits(long n) {
		 int total=0;
		 while(n!=0) {
			 total+=n%10;
			 n=n/10;
		 }
		 return total;
	 }
	 
	 static long[] fac;
	    static long mod = (long) 1000000007;
	 
	    static void initFac(long n) {
	        fac = new long[(int)n + 1];
	        fac[0] = 1;
	        for (int i = 1; i <= n; i++) {
	            fac[i] = (fac[i - 1]  * i) % mod;
	        }
	    }
	 
	 
	 
	    static long nck(int n, int k) {
	        if (n < k)
	            return 0;
	        long den = inv((int) (fac[k] * fac[n - k] % mod));
	        return fac[n] * den % mod;
	    }
	 
	   
	 
	    static long inv(long x) {
	        return pow(x, mod - 2);
	    }
	 
	 
	    static void sort(int[] a) {
	        ArrayList<Integer> q = new ArrayList<>();
	        for (int i : a) q.add(i);
	        Collections.sort(q);
	        for (int i = 0; i < a.length; i++) a[i] = q.get(i);
	    }
	 
	    static void sort(long[] a) {
	        ArrayList<Long> q = new ArrayList<>();
	        for (long i : a) q.add(i);
	        Collections.sort(q);
	        for (int i = 0; i < a.length; i++) a[i] = q.get(i);
	    }
	    
	 public static int bfsSize(int source,LinkedList<Integer>[]a,boolean[]visited) {
			Queue<Integer>q=new LinkedList<>();
			q.add(source);
			visited[source]=true;
			int distance=0;
			while(!q.isEmpty()) {
				int curr=q.poll();
				distance++;
				for(int neighbour:a[curr]) {
					if(!visited[neighbour]) {
						visited[neighbour]=true;
						q.add(neighbour);
					}
				}
			}
			return distance;
		}
	 public static Set<Integer>factors(int n){
		 Set<Integer>ans=new HashSet<>();
		 ans.add(1);
		 for(int i=2;i*i<=n;i++) {
			 if(n%i==0) {
				 ans.add(i);
				 ans.add(n/i);
			 }
		 }
		 return ans;
	 }
	public static int bfsSp(int source,int destination,ArrayList<Integer>[]a) {
		boolean[]visited=new boolean[a.length];
		int[]parent=new int[a.length];
		Queue<Integer>q=new LinkedList<>();
		int distance=0;
		q.add(source);
		visited[source]=true;
		parent[source]=-1;
		while(!q.isEmpty()) {
			int curr=q.poll();
			if(curr==destination) {
				break;
			}
			for(int neighbour:a[curr]) {
				if(neighbour!=-1&&!visited[neighbour]) {
					visited[neighbour]=true;
					q.add(neighbour);
					parent[neighbour]=curr;
				}
			}
		}
		int cur=destination;
		while(parent[cur]!=-1) {
			distance++;
			cur=parent[cur];
		}
		return distance;
	}
	 static int bs(int size,int[]arr) {
		 int x = -1;
    	 for (int b = size/2; b >= 1; b /= 2) {
        	 while (!ok(arr));
        	 }
    	 int k = x+1;
    	 return k;
	 }
	 
	 static boolean ok(int[]x) {
		 return false;
	 }
	 
	 public static int solve1(ArrayList<Integer> A) {
		 long[]arr =new long[A.size()+1];
		 int n=A.size();
		 for(int i=1;i<=A.size();i++) {
			 arr[i]=((i%2)*((n-i+1)%2))%2;
			 arr[i]%=2;
		 }
		 int ans=0;
		 for(int i=0;i<A.size();i++) {
			 if(arr[i+1]==1) {
				 ans^=A.get(i);
			 }
		 }
		 return ans;
	   }
	 
	     public static String printBinary(long a) {
	    	 String str="";
	    	 for(int i=31;i>=0;i--) {
	    		 if((a&(1<<i))!=0) {
	    			 str+=1;
	    		 }
	    		 
	    		 if((a&(1<<i))==0 && !str.isEmpty()) {
	    			 str+=0;
	    		 }
	    		 
	    	 }
	    	 return str;
	     }
	     
		 public static String reverse(long a) {
		        long rev=0;
		        String str="";
		        int x=(int)(Math.log(a)/Math.log(2))+1;
		        for(int i=0;i<32;i++) {
		        	rev<<=1;
		        	if((a&(1<<i))!=0) {
		        		rev|=1;
		        		str+=1;
		        	}
		        	else {
		        		str+=0;
		        	}
		        }
		        return str;
			}
		
	 
	 ////////////////////////////////////////////////////////
	 static void sortF(Pair arr[])
	    {
	        // Comparator to sort the pair according to second element
	        Arrays.sort(arr, new Comparator<Pair>() {
	            @Override public int compare(Pair p1, Pair p2)
	            {	if(p1.first==p2.first) {
	            	return p1.second-p2.second;
	            }
	                return p1.first - p2.first;
	            }
	        });
	    }
	 static void sortS(Pair arr[])
	    {
	        // Comparator to sort the pair according to second element
	        Arrays.sort(arr, new Comparator<Pair>() {
	            @Override public int compare(Pair p1, Pair p2)
	            {
	                return p1.second - p2.second;
	            }
	        });
	    }
	 
	 static class Pair implements Comparable<Pair>
	 {
	   int first ;int second  ;
	  
	   public  Pair(int x, int y)
	   {
	       this.first = x ;this.second = y ;
	   }
	   
	   @Override
	  public boolean equals(Object obj)
	  {
	      if(obj == this)return true  ;
	      
	      if(obj == null)return false  ;
	      
	      if(this.getClass() != obj.getClass()) return false ;
	      
	      Pair other  = (Pair)(obj) ;
	      
	      if(this.first != other.first)return false  ;
	      if(this.second != other.second)return false  ;
	      
	      return true  ;
	      
	  }
	     
	     @Override
	     
	     public int hashCode()
	     {
	         return this.first^this.second  ;
	     }
	       
	 @Override
	 	public String toString() {
	 	
	 	String ans = "" ;ans  += this.first ;	ans += " ";	ans += this.second ;
	 	return ans  ;
	 	}

	

	@Override
	public int compareTo(Main.Pair o) {
		{	if(this.first==o.first) {
        	return this.second-o.second;
        }
            return this.first - o.first;
        }
	}
	 	

	 }
	 //////////////////////////////////////////////////////////////////////////
	
	    
	 
	
	 static int nD(long num) {
		 String s=String.valueOf(num);
		 return s.length();
	 }
	 
	 
	 static int CommonDigits(int x,int y) {
		 String s=String.valueOf(x);
		 String s2=String.valueOf(y);
		 return 0;
	 }
	 
	 
	 
	 static int lcs(String str1, String str2, int m, int n)
	    {
	        int L[][] = new int[m + 1][n + 1];
	        int i, j;
	 
	        // Following steps build L[m+1][n+1] in
	        // bottom up fashion. Note that L[i][j]
	        // contains length of LCS of str1[0..i-1]
	        // and str2[0..j-1]
	        for (i = 0; i <= m; i++) {
	            for (j = 0; j <= n; j++) {
	                if (i == 0 || j == 0)
	                    L[i][j] = 0;
	 
	                else if (str1.charAt(i - 1)
	                         == str2.charAt(j - 1))
	                    L[i][j] = L[i - 1][j - 1] + 1;
	 
	                else
	                    L[i][j] = Math.max(L[i - 1][j],
	                                       L[i][j - 1]);
	            }
	        }
	 
	        // L[m][n] contains length of LCS
	        // for X[0..n-1] and Y[0..m-1]
	        return L[m][n];
	    }
	 
	 /////////////////////////////////
	 boolean IsPowerOfTwo(int x)
	 {
	     return (x != 0) && ((x & (x - 1)) == 0);
	 }
	 ////////////////////////////////
	 
	 static long power(long a,long b,long m ) {
		 long ans=1;
		 while(b>0) {
			 if(b%2==1) {
				 ans=((ans%m)*(a%m))%m; b--;
			 }
			 else {
				 a=(a*a)%m;b/=2;
			 }
			 
		 }
		 return ans%m;
	 }
	 ///////////////////////////////
	 public static boolean repeatedSubString(String string) {
		    return ((string + string).indexOf(string, 1) != string.length());
		}
	 static int search(char[]c,int start,int end,char x) {
		 for(int i=start;i<end;i++) {
			 if(c[i]==x) {return i;}
		 }
		 return -2;
	 }
	 ////////////////////////////////
	 
	
	 
	 static int gcd(int a, int b) {
	        while (b != 0) {
	            int t = b;
	            b = a % b;
	            a = t;
	        }
	        return a;
	    }
	
	 
	
	 
	 static long fac(long a)
	 {
	     if(a== 0L || a==1L)return 1L ;
	     
	     return a*fac(a-1L) ;
	 }
	 
	 
	 
	 static ArrayList al() {
		 ArrayList<Integer>a =new ArrayList<>();
			return a;
		}
	 
	static HashSet h() {
			return new HashSet<Integer>();
		}
	static void debug(int[][]a) {
		int n= a.length;
		for(int i=1;i<=n;i++) {
	  		for(int j=1;j<=n;j++) {
	  			out.print(a[i][j]+" ");
	  		}
	  		out.print("\n");
	  	}
	}
	static void debug(int[]a) {
			out.println(Arrays.toString(a));
		}
	
	static void debug(ArrayList<Integer>a) {
				out.println(a.toString());
		}
	
	static boolean[]seive(int n){
		boolean[]b=new boolean[n+1];
		 for (int i = 2; i <= n; i++)
	            b[i] = true;
		 
		for(int i=2;i*i<=n;i++) {
			if(b[i]) {
				for(int j=i*i;j<=n;j+=i) {
					b[j]=false;
				}
			}
			
		}
		return b;
	}
	
	 static int longestIncreasingSubseq(int[]arr) {
		  int[]sizes=new int[arr.length];
		  Arrays.fill(sizes, 1);
		  int max=1;
		  for(int i=1;i<arr.length;i++) {
			  for(int j=0;j<i;j++) {
				  if(arr[j]<arr[i]) {
					  sizes[i]=Math.max(sizes[i],sizes[j]+1);
					  max=Math.max(max, sizes[i]);
				  }
			  }
		  }
		  return max;
	 }
	 
	 public static ArrayList primeFactors(long n)
	    {
		    ArrayList<Long>h= new ArrayList<>();
	        // Print the number of 2s that divide n
	        if(n%2 ==0) {h.add(2L);}
	 
	        // n must be odd at this point.  So we can
	        // skip one element (Note i = i +2)
	        for (long i = 3; i <= Math.sqrt(n); i+= 2)
	        {
	            if(n%i==0) {h.add(i);}
	        }
	        if (n > 2)
	            h.add(n);
	        return h;
	    }
	 
	 static boolean Divisors(long n){
		 if(n%2==1) {
			 return true;
		 }
	     for (long i=2; i<=Math.sqrt(n); i++){
	            if (n%i==0 && i%2==1){
	                   return true;
	            } 
	        }
	     return false;
	    }
	
	static InputStream inputStream = System.in;
    static OutputStream outputStream = System.out;
    static InputReader in = new InputReader(inputStream);
    static PrintWriter out = new PrintWriter(outputStream);
    
    public static void superSet(int[]a,ArrayList<String>al,int i,String s) {
    	if(i==a.length) {
    		al.add(s);
    		return;
    	}
    	superSet(a,al,i+1,s);
    	superSet(a,al,i+1,s+a[i]+" ");
    }
    
	public static long[] makeArr() {
		long size=in.nextInt();
		long []arr=new long[(int)size];
		for(int i=0;i<size;i++) {
			arr[i]=in.nextInt();
		}
		return arr;
	}
	
	public static long[] arr(int n) {
		long []arr=new long[n+1];
		for(int i=1;i<n+1;i++) {
			arr[i]=in.nextLong();
		}
		return arr;
	}
	
  public static void sort(long arr[], int l, int r)
  {
      if (l < r)
      {
          // Find the middle point
          int m = (l+r)/2;

          // Sort first and second halves
          sort(arr, l, m);
          sort(arr , m+1, r);

          // Merge the sorted halves
          merge(arr, l, m, r);
      }
  }

  static void print(int c) {
		 out.print(c);
	 }
	 static void println(int x) {
		 out.println(x);
	 }
	 static void print(String s) {
		 out.print(s);
	 }
	 static void println(String s) {
		 out.println(s);
	 }
public static void merge(long arr[], int l, int m, int r)
  {
      // Find sizes of two subarrays to be merged
      int n1 = m - l + 1;
      int n2 = r - m;

      /* Create temp arrays */
      long L[] = new long[n1];
      long R[] = new long[n2];

      //Copy data to temp arrays
      for (int i=0; i<n1; ++i)
          L[i] = arr[l + i];
      for (int j=0; j<n2; ++j)
          R[j] = arr[m + 1+ j];


      /* Merge the temp arrays */

      // Initial indexes of first and second subarrays
      int i = 0, j = 0;

      // Initial index of merged subarry array
      int k = l;
      while (i < n1 && j < n2)
      {
          if (L[i] <= R[j])
          {
              arr[k] = L[i];
              i++;
          }
          else
          {
              arr[k] = R[j];
              j++;
          }
          k++;
      }

      /* Copy remaining elements of L[] if any */
      while (i < n1)
      {
          arr[k] = L[i];
          i++;
          k++;
      }

      /* Copy remaining elements of R[] if any */
      while (j < n2)
      {
          arr[k] = R[j];
          j++;
          k++;
      }
  }

public static void reverse(int[] array)
{
    int n = array.length;
    for (int i = 0; i < n / 2; i++) {
        int temp = array[i];
        array[i] = array[n - i - 1];
        array[n - i - 1] = temp;
    }
}

  public static long nCr(int n,int k)
  {
      long ans=1L;
      k=k>n-k?n-k:k;
     
      for( int j=1;j<=k;j++,n--)
      {
          if(n%j==0)
          {
              ans*=n/j;
          }else
          if(ans%j==0)
          {
              ans=ans/j*n;
          }else
          {
              ans=(ans*n)/j;
          }
      }
      return ans;
  }

  static int searchMax(int index,long[]inp) {
	  while(index+1<inp.length &&inp[index+1]>inp[index]) {
		  index+=1;
	  }
	  return index;
  }
  static int searchMin(int index,long[]inp) {
	  while(index+1<inp.length &&inp[index+1]<inp[index]) {
		  index+=1;
	  }
	  return index;
  }
  public class ListNode {
	       int val;
	       ListNode next;
	       ListNode() {}
	       ListNode(int val) { this.val = val; }
	       ListNode(int val, ListNode next) { this.val = val; this.next = next; }
	   }
  static class Pairr implements Comparable<Pairr>{
		 private int index;
		 private int cumsum;
		 private ArrayList<Integer>indices;
		 public Pairr(int index,int cumsum) {
			 this.index=index;
			 this.cumsum=cumsum;
			 indices=new ArrayList<Integer>();
		 }
		 public int compareTo(Pairr other) {
			 return Integer.compare(cumsum, other.cumsum);
		 }
	 }
	 
  
  static class InputReader {
      public BufferedReader reader;
      public StringTokenizer tokenizer;

      public InputReader(InputStream stream) {
          reader = new BufferedReader(new InputStreamReader(stream), 32768);
          tokenizer = null;
      }

      public String next() {
          while (tokenizer == null || !tokenizer.hasMoreTokens()) {
              try {
                  tokenizer = new StringTokenizer(reader.readLine());
              } catch (IOException e) {
                  throw new RuntimeException(e);
              }
          }
          return tokenizer.nextToken();
      }

      public int nextInt() {
          return Integer.parseInt(next());
      }
      public long nextLong() {
    	  return Long.parseLong(next());
      }
  }
}