Problem: AquaMoon had n strings of length m each. n is an odd number.

When AquaMoon was gone, Cirno tried to pair these n strings together. After making (n-1)/(2) pairs, she found out that there was exactly one string without the pair!

In her rage, she disrupted each pair of strings. For each pair, she selected some positions (at least 1 and at most m) and swapped the letters in the two strings of this pair at the selected positions.

For example, if m = 6 and two strings "abcdef" and "xyzklm" are in one pair and Cirno selected positions 2, 3 and 6 she will swap 'b' with 'y', 'c' with 'z' and 'f' with 'm'. The resulting strings will be "ayzdem" and "xbcklf".

Cirno then stole away the string without pair and shuffled all remaining strings in arbitrary order.

AquaMoon found the remaining n-1 strings in complete disarray. Also, she remembers the initial n strings. She wants to know which string was stolen, but she is not good at programming. Can you help her?

Input

This problem is made as interactive. It means, that your solution will read the input, given by the interactor. But the interactor will give you the full input at the beginning and after that, you should print the answer. So you should solve the problem, like as you solve the usual, non-interactive problem because you won't have any interaction process. The only thing you should not forget is to flush the output buffer, after printing the answer. Otherwise, you can get an "Idleness limit exceeded" verdict. Refer to the [interactive problems guide](https://codeforces.com/blog/entry/45307) for the detailed information about flushing the output buffer.

The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases.

The first line of each test case contains two integers n, m (1 ≤ n ≤ 10^5, 1 ≤ m ≤ 10^5) — the number of strings and the length of each string, respectively.

The next n lines each contain a string with length m, describing the original n strings. All string consists of lowercase Latin letters.

The next n-1 lines each contain a string with length m, describing the strings after Cirno exchanged and reordered them.

It is guaranteed that n is odd and that the sum of n ⋅ m over all test cases does not exceed 10^5.

Hack format:

The first line should contain a single integer t. After that t test cases should follow in the following format:

The first line should contain two integers n and m.

The following n lines should contain n strings of length m, describing the original strings.

The following (n-1)/(2) lines should describe the pairs. They should contain, in the following order: the index of the first string i (1 ≤ i ≤ n), the index of the second string j (1 ≤ j ≤ n, i ≠ j), the number of exchanged positions k (1 ≤ k ≤ m), and the list of k positions that are exchanged (k distinct indices from 1 to m in any order).

The final line should contain a permutation of integers from 1 to n, describing the way the strings should be reordered. The strings will be placed in the order indices placed in this permutation, the stolen string index will be ignored.

Output

For each test case print a single line with the stolen string.

Example

Input


3
3 5
aaaaa
bbbbb
ccccc
aaaaa
bbbbb
3 4
aaaa
bbbb
cccc
aabb
bbaa
5 6
abcdef
uuuuuu
kekeke
ekekek
xyzklm
xbcklf
eueueu
ayzdem
ukukuk


Output


ccccc
cccc
kekeke

Note

In the first test case, "aaaaa" and "bbbbb" exchanged all positions, and "ccccc" is the stolen string.

In the second test case, "aaaa" and "bbbb" exchanged two first positions, and "cccc" is the stolen string.

This is the first test in the hack format: 
    
    
      
    3  
    3 5  
    aaaaa  
    bbbbb  
    ccccc  
    1 2 5 1 2 3 4 5  
    2 1 3  
    3 4  
    aaaa  
    bbbb  
    cccc  
    1 2 2 1 2  
    2 1 3  
    5 6  
    abcdef  
    uuuuuu  
    kekeke  
    ekekek  
    xyzklm  
    1 5 3 2 3 6  
    2 4 3 2 4 6  
    5 4 1 2 3  
    

Solution (in JAVA):

Solution:
/*     🅻🅴🅰🆁🅽🅸🅽🅶      */
//✅ // 
	import java.util.*;
	import java.io.*;
	import java.lang.*;
	import java.math.BigInteger;

	public class A {
		private static int x=5;
		public static class somepclass{
			private somepclass() {};
			public static int get() {
				return x;
			}
		}
		/**
		 * 
		 */
		public void sendkey(Ba other) {
			other.receiveKey(new somepclass());
		}
	
	static FastReader		sc	= new FastReader();
	static PrintWriter	out	= new PrintWriter(System.out);
	
	public static void main(String[] args) throws Exception {


		int t =sc.nextInt();
		while (t-- > 0) {
			A.go();
			out.flush();
		}
		
	}
	
	//>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Code Starts <<<<<<<<<<<<<<<<<<<<<<<<<<<<< //

	static void go() {
			int n=sc.nextInt();
			int m=sc.nextInt();
			char a[][]=new char[n][m];
			for(int i=0;i<n;i++) {
				String s=sc.next();
				for(int j=0;j<m;j++) {
					a[i][j]=s.charAt(j);
				}
			}
			char b[][]=new char[n-1][m];
			for(int i=0;i<n-1;i++) {
				String s=sc.next();
				for(int j=0;j<m;j++) {
					b[i][j]=s.charAt(j);
				}
			}
//			ArrayList<ArrayList<>>
			
			String ans="";
			for(int i=0;i<m;i++) {
				char x[]=new char[n-1];
				for(int j=0;j<n-1;j++) {
					x[j]=b[j][i];
				}
				Arrays.sort(x);
				char y[]=new char[n];
				for(int j=0;j<n;j++) {
					y[j]=a[j][i];
				}
				Arrays.sort(y);
				boolean f=false;
				for(int j=0;j<n-1;j++) {
					if(y[j]!=x[j]) {
						ans=ans+y[j];
						f=true;
						break;
					}
				}
				if(f==false) {
					ans=ans+y[n-1];
				}
			}
			out.println(ans);
			
	}
	static class helper{
		char x,y;
		helper(char x,char y){
			this.x=x;
			this.y=y;
		}
//		@Override
//		public int hashCode() {
//			final int prime = 31;
//			int result = 1;
//			result = prime * result + x;
//			result = prime * result + y;
//			return result;
//		}
//		@Override
//		public boolean equals(Object obj) {
//			if (this == obj)
//				return true;
//			if (obj == null)
//				return false;
//			if (getClass() != obj.getClass())
//				return false;
//			helper other = (helper) obj;
//			if (x != other.x)
//				return false;
//			if (y != other.y)
//				return false;
//			return true;
//		}
	}

	static void   prints(char  a[][]) {
//	out.println("--------");
	for(int i=0;i<a.length;i++) {
		for(int j=0;j<a[i].length;j++) {
//			out.print("("+a[i][j].y+","+a[i][j].z+") ");
			out.print(a[i][j]);
		}
		out.println();
	}
}
	static void   print(char  a[][]) {
//		out.println("--------");
		for(int i=0;i<a.length;i++) {
			for(int j=0;j<a[i].length;j++) {
//				out.print("("+a[i][j].y+","+a[i][j].z+") ");
				if((i+j)%2==0) {
				out.print("R");
				}else {
					out.print("W");
				}
			}
			out.println();
		}
	}
	//>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Code Ends <<<<<<<<<<<<<<<<<<<<<<<<<<<<< //
	static long fact[];
	static long invfact[];
	static long ncr(int n,int k) {
		if(k<0||k>n) {
			return 0;
		}
		long x=fact[n]%mod;
		long y=invfact[k]%mod;
		long yy=invfact[n-k]%mod;
		long ans=(x*y)%mod;
		ans=(ans*yy)%mod;
		return ans;
	}
	static long gcd(long a, long b) {
		if (b==0) {
			return a;
		}return gcd(b, a%b);
	}
	
	static int	prime[]	= new int[200005];
	static int	N				= 200005;
	
	static void sieve() {
	
		for(int i=0;i<N;i++) {
			prime[i]=i;
	}
		for (int i = 2; i * i <= N; i++) {
			if (prime[i] == i) {
				prime[i]=i;
				for (int j = i; j < N; j += i) {
					prime[j] =i;
				}}}
	}
	
	
	static int gcd(int a, int b) {
		if (b == 0) {
			return a;
		}return gcd(b, a % b);
	}
	 static void sort(int[] a) {
		ArrayList<Integer> aa = new ArrayList<>();
		for (Integer i : a) {
			aa.add(i);	}
		Collections.sort(aa);
		for (int i = 0; i < a.length; i++)
			a[i] = aa.get(i);}
	
	 static void sort(long[] a) {
		ArrayList<Long> aa = new ArrayList<>();
		for (Long i : a) {
			aa.add(i);}
		Collections.sort(aa);
		for (int i = 0; i < a.length; i++)
			a[i] = aa.get(i);
	}
	
	static int mod = (int) 1e9 + 7;
	
	static long pow(long x, long y) {
		long res = 1l;
		while (y != 0) {
			if (y % 2 == 1) {
				res = (x%mod * res%mod)%mod;
				}	y /= 2;
				x = (x%mod * x%mod)%mod;
		}
		return res%mod;
	}
	
	
	//>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Fast IO <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< //
	
	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());
		}
		int[] intArray(int n) {
			int a[]=new int[n];
			for(int i=0;i<n;i++)a[i]=sc.nextInt();
			return a;
		}
		long[] longArray(int n) {
			long a[]=new long[n];
			for(int i=0;i<n;i++)a[i]=sc.nextLong();
			return a;
		}
		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}	}}
 class Ba {
    private A.somepclass key;

    public void receiveKey(A.somepclass key) {
        this.key = key;
    }

    public void usageExample() {
        A anA = new A();

        // int foo = anA.privateInt; // doesn't work, not accessible

        anA.sendkey(this);
        int fii = key.get();
        System.out.println(fii);
    }
    
}