import java.util.Scanner;public class Test $\{$ public static void main$($String$[]$ args$)\{$ Scanner input $=$ new Scanner$($System$.$in$)$; System.out.print$("$Enter the number of rows and columns in the array: $")$; int rows $=$ input.nextInt$()$; int columns $=$ input.nextInt$()$; double$[][]$ array $=$ new double$[$rows$][$columns$]$; System.out.println$("$Enter the array: $")$; for $($int i $=0$; i $$ rows; i$++)\{$ for $($int j $=0$; j $$ columns; j$++)\{$ array$[$i$][$j$]=$ input.nextDouble$()$; $\}\}$ Location location $=$ locateLargest$($array$)$; System.out.println$("$The location of the largest element is $"+$ location.maxValue $+"$ at $("+$ location.row $+","+$ location.column $+")")$; $\}\}$

$13\mathrm{.}21($Algebra: vertex form equations$)$ The equation of a parabola can be expressed in either standard form $)=(a{x}^2+bx+c$ or vertex form $)=(a(x-h{)}^2+k.$ Write a program that prompts the user to enter $a,b,$ and $c$ as integers in standard form and displays $)=(\frac{-b}{2a}$ and $)=(\frac{4ac-b^2}{4a}$ in the vertex form. Display $h$ and $k$ as rational numbers. Here are some sample runs:

Enter a$,$ b$,$ c: $131$

$h$ is $-\frac{3}{2}k$ is $-\frac{5}{4}$

Enter a$,$ b$,$ c: $234$

$h$ is $-\frac{3}{4}k$ is $\frac{23}{8}$