Artem is building a new robot. He has a matrix a consisting of n rows and m columns. The cell located on the i-th row from the top and the j-th column from the left has a value a_{i,j} written in it. 

If two adjacent cells contain the same value, the robot will break. A matrix is called good if no two adjacent cells contain the same value, where two cells are called adjacent if they share a side. 

Artem wants to increment the values in some cells by one to make a good.

More formally, find a good matrix b that satisfies the following condition — 

  * For all valid (i,j), either b_{i,j} = a_{i,j} or b_{i,j} = a_{i,j}+1. 



For the constraints of this problem, it can be shown that such a matrix b always exists. If there are several such tables, you can output any of them. Please note that you do not have to minimize the number of increments.

Input

Each test contains multiple test cases. The first line contains the number of test cases t (1 ≤ t ≤ 10). Description of the test cases follows.

The first line of each test case contains two integers n, m (1 ≤ n ≤ 100, 1 ≤ m ≤ 100) — the number of rows and columns, respectively.

The following n lines each contain m integers. The j-th integer in the i-th line is a_{i,j} (1 ≤ a_{i,j} ≤ 10^9).

Output

For each case, output n lines each containing m integers. The j-th integer in the i-th line is b_{i,j}.

Example

Input


3
3 2
1 2
4 5
7 8
2 2
1 1
3 3
2 2
1 3
2 2


Output


1 2
5 6
7 8
2 1
4 3
2 4
3 2

Note

In all the cases, you can verify that no two adjacent cells have the same value and that b is the same as a with some values incremented by one. 
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Collection;
import java.util.List;
import java.util.Scanner;
import java.util.function.Function;
import java.util.stream.Collectors;
public class _C {
    static public void main(final String[] args) throws IOException {
        C._main(args);
    }
//begin C.java
static private class C extends Solver{public C(){nameIn="C.in";}int n;int m;int[
][]a;@Override protected void solve(){boolean[][]changed=new boolean[n][m];for(int
i=0;i<n;i++){for(int j=0;j<m;j++){if(!changed[i][j]){int times=0;for(int k=0;k<2
;k++){int c=a[i][j]+k;if(j<m-1&&c==a[i][j+1]||i<n-1&&c==a[i+1][j]||i>0&&c==a[i-1
][j]||j>0&&c==a[i][j-1]){times++;}else{break;}}if(times==1){a[i][j]++;changed[i]
[j]=true;}}}}for(int i=0;i<n;i++){pw.println(joinToString(a[i]));}}@Override public
void readInput()throws IOException{n=sc.nextInt();m=sc.nextInt();if(sc.hasNextLine
()){sc.nextLine();}a=new int[n][];for(int _ia=0;_ia<n;_ia++){a[_ia]=Arrays.stream
(sc.nextLine().trim().split("\\s+")).mapToInt(Integer::valueOf).toArray();}}static
public void _main(String[]args)throws IOException{new C().run();}}
//end C.java
//begin net/leksi/contest/Solver.java
static private abstract class Solver{protected String nameIn=null;protected String
nameOut=null;protected boolean singleTest=false;protected boolean preprocessDebug
=false;protected boolean doNotPreprocess=false;protected Scanner sc=null;protected
PrintWriter pw=null;private void process()throws IOException{if(!singleTest){int
t=lineToIntArray()[0];while(t-->0){readInput();solve();}}else{readInput();solve(
);}}abstract protected void readInput()throws IOException;abstract protected void
solve()throws IOException;protected int[]lineToIntArray()throws IOException{return
Arrays.stream(sc.nextLine().trim().split("\\s+")).mapToInt(Integer::valueOf).toArray
();}protected long[]lineToLongArray()throws IOException{return Arrays.stream(sc.nextLine
().trim().split("\\s+")).mapToLong(Long::valueOf).toArray();}protected String joinToString
(final int[]a){return Arrays.stream(a).mapToObj(Integer::toString).collect(Collectors
.joining(" "));}protected String joinToString(final long[]a){return Arrays.stream
(a).mapToObj(Long::toString).collect(Collectors.joining(" "));}@Deprecated protected
String intArrayToString(final int[]a){return joinToString(a);}@Deprecated protected
String longArrayToString(final long[]a){return joinToString(a);}protected<T>String
joinToString(final T[]a){return Arrays.stream(a).map(v->v.toString()).collect(Collectors
.joining(" "));}protected<T>String joinToString(final T[]a,final Function<T,String>
toString){return Arrays.stream(a).map(v->v.toString()).collect(Collectors.joining
(" "));}protected<T>String joinToString(final Collection<T>a){return a.stream().map
(v->v.toString()).collect(Collectors.joining(" "));}protected<T>String joinToString
(final Collection<T>a,final Function<T,String>toString){return a.stream().map(v->
toString.apply(v)).collect(Collectors.joining(" "));}@Deprecated protected List<Long>
longArrayToList(final long[]a){return Arrays.stream(a).mapToObj(Long::valueOf).collect
(Collectors.toList());}@Deprecated protected List<Integer>intArrayToList(final int
[]a){return Arrays.stream(a).mapToObj(Integer::valueOf).collect(Collectors.toList
());}protected List<Long>intArrayToLongList(final int[]a){return Arrays.stream(a
).mapToObj(Long::valueOf).collect(Collectors.toList());}protected List<Integer>toList
(final int[]a){return Arrays.stream(a).mapToObj(Integer::valueOf).collect(Collectors
.toList());}protected List<Long>toList(final long[]a){return Arrays.stream(a).mapToObj
(Long::valueOf).collect(Collectors.toList());}protected void run()throws IOException
{boolean done=false;if(nameIn !=null){try{try(FileInputStream fis=new FileInputStream
(nameIn);PrintWriter pw0=select_output();){done=true;sc=new Scanner(fis);pw=pw0;
process();}}catch(IOException ex){}}if(!done){try(PrintWriter pw0=select_output(
);){sc=new Scanner(System.in);pw=pw0;process();}}}private PrintWriter select_output
()throws FileNotFoundException{if(nameOut !=null){return new PrintWriter(nameOut
);}return new PrintWriter(System.out);}}
//end net/leksi/contest/Solver.java
}
