$5-($Largest row and column$)$: Write a program that randomly fills in $0$ s and $1$ s into a $5-$by$-5$ matrix, prints the matrix, and finds the first row and column with the most $1$ s $.$ Here is a sample run of the program:

$01101$

$01011$

$10010$

$11111$

$00101$

The largest row index: $3$

The largest column index: $4$

Write the code here and attach a screenshot of the output.

import java.util.$*$;

public class Helloworld $\{$

public static void main$($String$[]$

args$)\{$

int$[][]$ matrix $=$ new int$[5][5]$;

Random rand $=$ new Random$()$;

for $($int $i=0$;$i<mn>5</mn>$;$i++)$

for $($int $j=0$;$j<mn>5</mn>$; j$++)$

$\{$

matrix$[$i$][$j$]=$

rand.nextInt $(2)$ ;

$\}$

$\}$

for $($int $i=0$;$i<mn>5</mn>$;$i++\{$

for $($int $j=0$;$j<mn>5</mn>$;$j++)$

$\{$

System.out.print$($matrix$[$i$][$j$])$;

$\}$

System.out.println$()$;

$\}$

int maxRowCount $=-1,$

maxRowIndex $=-1$;

for $($int $i=0$;$i<mn>5</mn>$;$i++)\{$

int rowCount $=0$;

for $($int $j=0$;$j<mn>5</mn>$;$j++)$

$\{$

if $($matrix$[$i$][$j$]==1)\{$ rowCount$++$;