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.math.*;
import java.util.*;
import java.io.*;
 
 
 
public class main
{
  static Map<String,Integer> map=new HashMap<>();
             static int[] parent;
         static  int[] size;
    public static void main(String[] args)
    {
        InputReader in = new InputReader(System.in);
        PrintWriter pw = new PrintWriter(System.out);
        
//         FileReader fr=new FileReader("/sagar.txt");
//        InputStreamReader isr=new InputStreamReader(fr);
        
//         BufferedReader isr=new BufferedReader(fr);
        
//         FileWriter fw=new FileWriter("ProblemA1_ans.txt");
//         BufferedWriter bw=new BufferedWriter(fw);
         final int mod=1000000007;
       // int test_case =Integer.parseInt(isr.read());
          int test_case=in.nextInt();
       // int test_case=1;
                    StringBuilder sb=new StringBuilder();
      //  long mod=998244353;
        long[] fact=new long[100001];
        fact[0]=1;
        fact[1]=1;
        fact[2]=1;
        for(int i=3;i<fact.length;i++)
        {
            fact[i]=((fact[i-1])%mod*(i%mod))%mod;
            //System.out.println(fact[i]);
        }
        
      for(int t1=0;t1<test_case;t1++)
      {
          int n=in.nextInt();
          String[] s=new String[n];
          for(int i=0;i<n;i++)
          {
              s[i]=in.nextLine();
          }
          int c1=0;
          int c2=0;
          int c3=0;
          boolean f=false;
          for(int i=0;i<9;i++)
          {
              
              for(int j=i+1;j<9;j++)
              {
                  
                  if(i%2==1&&j%2==1)
                  {
                      continue;
                  }
                  
                  c1=0;
                  c2=0;
                  c3=0;
                  for(int k=0;k<n;k++)
                  {
                   //   System.out.println(i+" "+j+" "+k);
                      
                      if(s[k].charAt(i)=='1'&&s[k].charAt(j)=='0')
                      {
                          c1++;
                      }else if(s[k].charAt(i)=='0'&&s[k].charAt(j)=='1')
                      {
                          c2++;
                      }else if(s[k].charAt(i)=='1'&&s[k].charAt(j)=='1')
                      {
                          c3++;
                      }
//                   if(i==2&&j==6){
//                       System.out.println(s[k].charAt(i)+" "+s[k].charAt(j));
//                       System.out.println(c1+" "+c2+" "+c3);
//                   }
                      
                  }
                  

                                
                  if(c1<=n/2&&c2<=n/2&&(c1+c2+c3)==n)
                  {
                      f=true;
                      break;
                  }
                      
                  }
              
              if(f)
              {
                  break;
              }
              }
              
          
          String ans="NO";
          if(f)
          {
              ans="YES";
          }
          
          System.out.println(ans);
          
        

          
      }
 
    
        pw.flush();
        pw.close();
    }
    
   static  void solve(int[] a,List<Integer>  ls,int n,boolean[] f,int ans,int c,int r,int k)
    {
        if(k==n)
        {
            ls.add(ans);
            max=Math.max(ans,max);
            return  ;
        }
      
        for(int i=0;i<n;i++)
        {
            
            if(f[i])
            {
              continue;
            }
            f[i]=true;
            for(int j=0;j<n;j++)
            {
                
                if(f[j])
                {
                    continue;
                }
                 int ans1=(GCD(a[i],a[j])*r);
                ans+=ans1;
                f[j]=true;
                solve(a,ls,n,f,ans,0,r+1,k+2);
                ans-=ans1;
                f[j]=false;
                
            }
            f[i]=false;
            
        }
        
    }
        static int lower(long[] ages, long target) {
        if (ages == null || ages.length == 0) {
            return 0;
        }
        int l = 0;
        int r = ages.length - 1;
        if (target <= ages[0]) {
            return 0;
        }
        if (target > ages[r]) {
            return -1;
        }
        while (l  <  r) {
            int m = l + (r - l ) / 2 ;

            if (ages[m] >= target) {
                r = m;
            }else {
                l = m + 1;
            }
        }
        return r;
    }
    
    static int upper(long[] ages, long target) {
        if (ages == null || ages.length == 0) {
            return 0;
        }
        int l = 0;
        int r = ages.length - 1;
        if (target < ages[0]) {
            return -1;
        }
        if (target >= ages[r]) {
            return r;
        }
        while (l  <  r - 1) {
            int m = l + (r - l ) / 2 ;
            if (ages[m] <= target) {
                l = m;
            }else {
                r = m - 1;
            }
        }
        return ages[r] <= target ? r : l;
    }

    
    static int LowerBound(long a[], long x) { // x is the target value or key
  int l=0,r=a.length;
  while(l<r) {
    int m=(l+r)>>>1;
    if(a[m]>=x) r=m;
    else l=m+1;
  }
        if(l<a.length&&a[l]<x)
        {
            l++;
        }
  return l;
}
    
    static int UpperBound(long a[], long x) {// x is the key or target value
    int l=0,r=a.length;
    while(l<r) {
       int m=(l+r)>>>1;
       if(a[m]<=x) l=m+1;
       else r=m;
    }
        if(l<a.length&&a[l]<=x)
        {
            l++;
        }
    return l;
 }
    
    static   int max=0;
    
    static void ProblemA2(boolean f,int c,int min,char key,Map<Character,List<Character>> map,char target,char temp,A2 a2,Set<Character>  set)
    {
                      // System.out.println(temp);
        
        
        if(map.containsKey(key))
        {
            
            set.add(key);
            
            for(Character value:map.get(key))
            {
                
                c++;
                
                if(set.contains(value))
                {
                    return;
                }
                
                
               // System.out.println(value+" "+target);
                if(value==target)
                {
                    f=f||true;
                    min=Math.min(c,min);
                 //           System.out.println(f+" "+min);
                    a2.f=f||a2.f;
                    a2.min=Math.min(min,a2.min);
                }else if(value==temp){
                    f=f||false;
                    a2.f=f||a2.f;
                    a2.min=Math.min(min,a2.min);
                    break;
                    
                }else{
                    
 
                    ProblemA2(f,c,min,value,map,target,temp,a2,set);
                    
                   // return a2;
                     
                }
               // set.remove(value);
               c--;
            }
            
            set.remove(key);
        }
     //   System.out.println(a2.f+" "+a2.min);
 
        
    }
    
    static class A2{
 
        boolean f;
        int min=0;
        A2(boolean f,int min)
        {
            this.f=f;
            this.min=min;
        }
        
    }
    
   static boolean backtrack(int i,int j,int[][] a,int[][] gol,int n,Set<String> set,int parentx,int parenty)
    {
       System.out.println(i+" "+j);
       
        if(Arrays.equals(a,gol))
        {
            return true;
        }
        
        boolean f=false;
        
        int[] dx={-1,0,0,1};
        int[] dy={0,-1,1,0};
         set.add(i+"root"+j);
        for(int k=0;k<dx.length;k++)
        {
           
            
            
            if((i+dx[k])>=0&&(i+dx[k])<n&&(j+dy[k])>=0&&(j+dy[k])<n)
            {
                if(i+dx[k]==parentx&&j+dy[k]==parenty||set.contains((i+dx[k])+"root"+(j+dy[k])))
                {
                  continue;
                }
                
               //  System.out.println((i+dx[k])+" "+(j+dy[k]));
                int temp=a[i][j];
                a[i][j]=a[i+dx[k]][j+dy[k]];
                a[i+dx[k]][j+dy[k]]=temp;
                f=backtrack(i+dx[k],j+dy[k],a,gol,n,set,i,j);
                if(f)
                {
                    System.out.println(temp+" "+a[i][j]);
                    return f;
                }
                temp=a[i][j];
                a[i][j]=a[i+dx[k]][j+dy[k]];
                a[i+dx[k]][j+dy[k]]=temp;
            }
        }
       // visited[i][j]=false;
        return f;
        
        
        
    }
    
    static int find_parent(int p)
    {
 
        if(p==parent[p])
        {
            return p;
        }
        return parent[p]=find_parent(parent[p]);
    }
    
    static void set_union(int x,int y)
    {
        if(size[x]<size[y])
        {
            swap(x,y);
        }
        
        parent[y]=x;
        size[x]+=size[y];
    }
    
    static boolean bipartite(int i,List<List<Integer>> ls,boolean[] visited,int[] color, int x)
    {
        
        color[i]=x;
        visited[i]=true;
        
        for(int x1:ls.get(i))
        {
            
           // System.out.println(visited[x1]+" "+color[x1]==x);
            
            if(visited[x1]&&color[x1]==x)
            {
                return false;
            }
            
            if(!visited[x1])
            {
              return  bipartite(x1,ls,visited,color,(x==-1?1:-1));
            }
        }
        
        return true;
        
    }
    
    
    static boolean isDirectedCycle(List<Integer> stack,boolean[] visited,List<List<Integer>>  ls)
    {
        int i=stack.get(stack.size()-1);
        visited[i]=true;
        for(int x:ls.get(i))
        {
             stack.add(x);
            if(!visited[x]&&isDirectedCycle(stack,visited,ls))
            {
                return true;
            }
            
            if(stack.contains(x))
            {
                return true;
            }
            stack.remove(stack.size()-1);
           
            
        }
        
        return false;
    }
    
    static boolean isCyclic(int i,List<List<Integer>> ls,boolean[] visited,int parent)
    {
        visited[i]=true;
        for(int x:ls.get(i))
        {
            if(x!=parent){
                
                if(visited[x])
                {
                    return true;
                }
                
                if(!visited[x]&&isCyclic(x,ls,visited,i))
                {
                    return true;
                }
                
            }
            
            
        }
        
        return false;
    }
    
    static void dfs(List<List<Integer>> ls,boolean[] f,List<Integer> stack)
    {
        int x=stack.remove(stack.size()-1);
        System.out.print(x+"->");
        f[x]=true;
        for(int x1:ls.get(x))
        {
            if(!f[x1])
            {
                stack.add(x1);
                dfs(ls,f,stack);
            }
            
        }
        
    }
    
    static int factorial(int n,int mod)
    {
        long res = 1;
        for (int i=2; i<=n; i++)
            res=((res%mod)*(i%mod))%mod;
        return (int)res;
    }
    
 
 
    
    static int length(long l)
    {
        int c=0;
        while(l>0)
        {
            c++;
            l/=2;
        }
        
        return c;
    }
 
    
    static int CeilIndex(int A[], int l, int r, int key) 
    { 
        while (r - l > 1) { 
            int m = l + (r - l) / 2; 
            if (A[m] <= key) 
                r = m; 
            else
                l = m; 
        } 
  
        return r; 
    } 
    static int LongestIncreasingSubsequenceLength(int A[], int size) 
    { 
        // Add boundary case, when array size is one 
  
        int[] tailTable = new int[size]; 
        int len; // always points empty slot 
  
        tailTable[0] = A[0]; 
        len = 1; 
        for (int i = 1; i < size; i++) { 
            if (A[i] > tailTable[0]) 
 
                tailTable[0] = A[i]; 
  
            else if (A[i] <= tailTable[len - 1]) 
 
                tailTable[len++] = A[i]; 
  
            else
 
                tailTable[CeilIndex(tailTable, -1, len - 1, A[i])] = A[i]; 
        } 
  
        return len; 
    }
    
 
    
    static int[] next(int arr[], int n) { 
 
        Stack<Integer> S = new Stack<>(); 
  
        int[] next=new int[n];
 
        for (int i = n-1; i >= 0; i--) { 
 
            while (!S.empty() && arr[S.peek()] <= arr[i]) { 
                S.pop(); 
 
            } 
            if (S.empty()) { 
                next[i]=-1;
            } 
            else 
            { 
 
                next[i]=S.peek(); 
            } 
            S.push(i); 
        } 
        return next;
    }
    static int[] back(int arr[], int n) { 
 
        Stack<Integer> S = new Stack<>(); 
  
        int[] back=new int[n];
 
        for (int i = 0; i < n; i++) { 
 
            while (!S.empty() && arr[S.peek()] < arr[i]) { 
                S.pop(); 
            } 
            if (S.empty()) { 
                back[i]=-1;
            } 
            else 
            { 
                back[i]=S.peek(); 
            } 
            S.push(i); 
        } 
        
        return back;
    }
 
    
    
 
    static class InputReader
    {
 
        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, snumChars;
        private SpaceCharFilter filter;
 
        public InputReader(InputStream stream)
        {
            this.stream = stream;
        }
 
        public int snext()
        {
            if (snumChars == -1)
                throw new InputMismatchException();
            if (curChar >= snumChars)
            {
                curChar = 0;
                try
                {
                    snumChars = stream.read(buf);
                }
                catch (IOException e)
                {
                    throw new InputMismatchException();
                }
                if (snumChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }
 
        public int nextInt()
        {
            int c = snext();
            while (isSpaceChar(c))
            {
                c = snext();
            }
            int sgn = 1;
            if (c == '-')
            {
                sgn = -1;
                c = snext();
            }
            int res = 0;
            do
            {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
 
        public long nextLong()
        {
            int c = snext();
            while (isSpaceChar(c))
            {
                c = snext();
            }
            int sgn = 1;
            if (c == '-')
            {
                sgn = -1;
                c = snext();
            }
            long res = 0;
            do
            {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
 
        public int[] nextIntArray(int n)
        {
            int a[] = new int[n];
            for (int i = 0; i < n; i++)
            {
                a[i] = nextInt();
            }
            return a;
        }
        public long[] nextlongArray(int n)
        {
            long a[] = new long[n];
            for (int i = 0; i < n; i++)
            {
                a[i] = nextLong();
            }
            return a;
        }
 
        public String readString()
        {
            int c = snext();
            while (isSpaceChar(c))
            {
                c = snext();
            }
            StringBuilder res = new StringBuilder();
            do
            {
                res.appendCodePoint(c);
                c = snext();
            } while (!isSpaceChar(c));
            return res.toString();
        }
 
        public String nextLine()
        {
            int c = snext();
            while (isSpaceChar(c))
                c = snext();
            StringBuilder res = new StringBuilder();
            do
            {
                res.appendCodePoint(c);
                c = snext();
            } while (!isEndOfLine(c));
            return res.toString();
        }
 
        public boolean isSpaceChar(int c)
        {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
 
        private boolean isEndOfLine(int c)
        {
            return c == '\n' || c == '\r' || c == -1;
        }
 
        public interface SpaceCharFilter
        {
            public boolean isSpaceChar(int ch);
        }
    }
 
    public static long mod = 1000000007;
    public static int d;
    public static int p;
    public static int q;
 
    public static int[] suffle(int[] a,Random gen)
    {
        int n = a.length;
        for(int i=0;i<n;i++)
        {
            int ind = gen.nextInt(n-i)+i;
            int temp = a[ind];
            a[ind] = a[i];
            a[i] = temp;
        }
        return a;
    }
 
    public static void swap(int a, int b){
        int temp = a;
        a = b;
        b = temp;
    }
 
    public static HashSet<Integer> primeFactorization(int n)
    {
        HashSet<Integer> a =new HashSet<Integer>();
        for(int i=2;i*i<=n;i++)
        {
            while(n%i==0)
            {
                a.add(i);
                n/=i;
            }
        }
        if(n!=1)
            a.add(n);
        return a;
    }
 
    public static void sieve(boolean[] isPrime,int n)
    {
        for(int i=1;i<n;i++)
            isPrime[i] = true;
 
        isPrime[0] = false;
        isPrime[1] = false;
 
        for(int i=2;i*i<n;i++)
        {
            if(isPrime[i] == true)
            {
                for(int j=(2*i);j<n;j+=i)
                    isPrime[j] = false;
            }
        }
    }
 
    public static int GCD(int a,int b)
    {
        if(b==0)
            return a;
        else
            return GCD(b,a%b);
    }
 
    public static long GCD(long a,long b)
    {
        if(b==0)
            return a;
        else
            return GCD(b,a%b);
    }
 
    public static void extendedEuclid(int A,int B)
    {
        if(B==0)
        {
            d = A;
            p = 1 ;
            q = 0;
        }
        else
        {
            extendedEuclid(B, A%B);
            int temp = p;
            p = q;
            q = temp - (A/B)*q;
        }
    }
 
    public static long LCM(long a,long b)
    {
        return (a*b)/GCD(a,b);
    }
 
    public static int LCM(int a,int b)
    {
        return (a*b)/GCD(a,b);
    }
 
    public static int binaryExponentiation(int x,int n)
    {
        int result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=result * x;
            x=x*x;
            n=n/2;
        }
        return result;
    }
    int binarySearch(int arr[], int l, int r, int x) 
    { 
        if (r >= l) { 
            int mid = l + (r - l) / 2; 
  
 
            if (arr[mid] == x) 
                return mid; 
  
 
            if (arr[mid] > x) 
                return binarySearch(arr, l, mid - 1, x); 
  
 
            return binarySearch(arr, mid + 1, r, x); 
        } 
  
 
        return -1; 
    } 
  
 
    public static long binaryExponentiation(long x,long n)
    {
        long result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=result * x;
            x=x*x;
            n=n/2;
        }
        return result;
    }
 
    public static int modularExponentiation(int x,int n,int M)
    {
        int result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=(result * x)%M;
            x=(x*x)%M;
            n=n/2;
        }
        return result;
    }
 
    public static long modularExponentiation(long x,long n,long M)
    {
        long result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=(result * x)%M;
            x=(x*x)%M;
            n=n/2;
        }
        return result;
    }
 
    public static int modInverse(int A,int M)
    {
        return modularExponentiation(A,M-2,M);
    }
 
    public static long modInverse(long A,long M)
    {
        return modularExponentiation(A,M-2,M);
    }
 
    public static boolean isPrime(int n)
    {
 
        if (n <= 1)  return false;
        if (n <= 3)  return true;
 
        if (n%2 == 0 || n%3 == 0)
            return false;
 
        for (int i=5; i*i<=n; i=i+6)
        {
            if (n%i == 0 || n%(i+2) == 0)
                return false;
        }
 
        return true;
    }
    static class Pair
    {
        int  x;
        int  y;
    }
 
    static class pair implements Comparable<pair>
    {
        Integer x, y;
        pair(int x,int y)
        {
            this.x=x;
            this.y=y;
        }
 
        public int compareTo(pair o) {
            int result = x.compareTo(o.x);
            if(result==0)
                result = y.compareTo(o.y);
 
            return result;
        }
 
        public String toString()
        {
            return x+" "+y;
        }
 
        public boolean equals(Object o)
        {
            if (o instanceof pair)
            {
                pair p = (pair)o;
                return (Math.abs(p.x-x)==0 && Math.abs(p.y-y)==0);
            }
            return false;
        }
 
        public int hashCode()
        {
            return new Long(x).hashCode()*31 + new Long(y).hashCode();
        }
    }
}