Boolean Matrix Problem

PROBLEM :

Given a boolean matrix mat[M][N] of size M X N, modify it such that if a matrix cell mat[i][j] is 1 (or true) then make all the cells of ith row and jth column as 1.

Input:

The first line of input contains an integer T denoting the number of test cases.
The first line of each test case is r and c,r is the number of rows and c is the number of columns.
The second line of each test case contains all the elements of the matrix in a single line separated by a single space.

Output:

Print the modified array.

Constraints:

1 = T = 50
1 = r,c = 20
0 = Elements of matrix = 1

Example:

Input:
3
2 2
1 0 0 0
2 3
0 0 0 0 0 1
3 4
1 0 0 1 0 0 1 0 0 0 0 0

Output:
1 1 1 0
0 0 1 1 1 1
1 1 1 1 1 1 1 1 1 0 1 1

--------------------------------------------------------------------------------
SIMPLE c++ IMPLEMENTATION :
--------------------------------------------------------------------------------

#include<iostream>
using namespace std;
#define MAX 20
void reaarange_matrix(int [MAX][MAX],int ,int ) ;
int main()
 {
int t,row,col,i,j,mat[MAX][MAX] ;
cin>>t ;
while(t--)
{
   cin>>row>>col ;
   for(i=0;i<row;i++)
       for(j=0;j<col;j++)
           cin>>mat[i][j] ;
         
   reaarange_matrix(mat,row,col) ;
 
   for(i=0;i<row;i++)
       for(j=0;j<col;j++)
           cout<<mat[i][j]<<" " ;
         
   cout<<endl ;
}
return 0;
}

void reaarange_matrix(int mat[MAX][MAX],int row,int col)
{
    int arr1[row]={0} ;
    int arr2[col]={0} ;
   
    int i,j ;
    for(i=0;i<row;i++)
    {
        for(j=0;j<col;j++)
        {
            if(mat[i][j]==1)
            {
                arr1[i]=1 ;
                arr2[j]=1 ;
            }
        }
    }
   
    for(i=0;i<row;i++)
    {
        for(j=0;j<col;j++)
        {
            if(arr1[i]==1||arr2[j]==1)
                mat[i][j]=1 ;
        }
    }
}

--------------------------------------------------------------------------------
SIMPLE c++ IMPLEMENTATION :( without using EXTRA space as ARRAY)
--------------------------------------------------------------------------------

#include<iostream>
using namespace std;
#define MAX 20
void reaarange_matrix(int [MAX][MAX],int ,int ) ;
int main()
 {
int t,row,col,i,j,mat[MAX][MAX] ;
cin>>t ;
while(t--)
{
   cin>>row>>col ;
   for(i=0;i<row;i++)
       for(j=0;j<col;j++)
           cin>>mat[i][j] ;
         
   reaarange_matrix(mat,row,col) ;
 
   for(i=0;i<row;i++)
       for(j=0;j<col;j++)
           cout<<mat[i][j]<<" " ;
         
   cout<<endl ;
}
return 0;
}

void reaarange_matrix(int mat[MAX][MAX],int row,int col)
{
    int i,j ;
    bool r,c ;
    r=false ;
    c=false ;
   
    for(i=0;i<row;i++)
        if(mat[i][0]==1)
            r=true ;
           
    for(j=0;j<col;j++)
        if(mat[0][j]==1)
            c=true ;
           
    for(i=1;i<row;i++)
    {
        for(j=1;j<col;j++)
        {
            if(mat[i][j]==1)
            {
                mat[i][0]=1 ;
                mat[0][j]=1 ;
            }
        }
    }
   
    for(i=1;i<row;i++)
    {
        for(j=1;j<col;j++)
        {
            if(mat[i][0]==1||mat[0][j]==1)
                mat[i][j]=1 ;
        }
    }
   
    if(r==true)
    {
        for(i=0;i<row;i++)
            mat[i][0]=1 ;
    }
   
    if(c==true)
    {
        for(j=0;j<col;j++)
            mat[0][j]=1 ;
    }
}

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