You've got a 5 × 5 matrix, consisting of 24 zeroes and a single number one. Let's index the matrix rows by numbers from 1 to 5 from top to bottom, let's index the matrix columns by numbers from 1 to 5 from left to right. In one move, you are allowed to apply one of the two following transformations to the matrix:Swap two neighboring matrix rows, that is, rows with indexes i and i + 1 for some integer i (1 ≤ i < 5).Swap two neighboring matrix columns, that is, columns with indexes j and j + 1 for some integer j (1 ≤ j < 5).You think that a matrix looks beautiful, if the single number one of the matrix is located in its middle (in the cell that is on the intersection of the third row and the third column). Count the minimum number of moves needed to make the matrix beautiful.InputThe input consists of five lines, each line contains five integers: the j-th integer in the i-th line of the input represents the element of the matrix that is located on the intersection of the i-th row and the j-th column. It is guaranteed that the matrix consists of 24 zeroes and a single number one.OutputPrint a single integer — the minimum number of moves needed to make the matrix beautiful.ExamplesinputCopy0 0 0 0 00 0 0 0 10 0 0 0 00 0 0 0 00 0 0 0 0outputCopy3inputCopy0 0 0 0 00 0 0 0 00 1 0 0 00 0 0 0 00 0 0 0 0outputCopy1

A mirror image of a 2D array of m*n, elements of the first and the last columns are interchanged.Second and one before the last interchanged and so on. The middle column remains fixed. Onlythe columns of a mirror image are interchanged row remains unaffected.Write a C program to do the following.a) Declare a 2D integer array called matrix of size 5 by 5.b) Input set of positive numbers and store in the array.Enter 1,1 :………….Enter 1,2 :………….Enter 1,3 :………….c) Display the array in the tabular format.5 4 3 7 68 1 2 9 27 3 4 1 03 6 9 2 31 4 9 3 0d) Find the mirror image of the matrix without using an additional array.e) Display the new array in the tabular format.6 7 3 4 52 9 2 1 80 1 4 3 73 2 9 6 30 3 9 4 1Save your program as 2AQ2b.c

Write a Java program to manipulate a matrix by swapping the elements in even columns. The program should prompt the user to input the number of rows and columns of the matrix, followed by the elements of the matrix. Afterward, it should swap the elements in even columns of the matrix and display the modified matrix. Demonstrate the functionality of your program with a sample input/output scenario.  Sample Input 3 // Enter the number of rows4 // Enter the number of columns1 // Enter the elements of the matrix23456789101112Sample OutputBefore1 2 3 45 6 7 89 10 11 12After2 1 4 36 5 8 710 9 12 11

Ben is studying matrices and wants to write a program that swaps two rows of a matrix (N, M), the program takes an input matrix, swaps the specified rows, and then displays the modified matrix.Assist him with the program.Input format :The first line consists of two space-separated integers N and M, representing the number of rows and columns in the matrix.The next N lines contain M space-separated integers each, representing the elements of the matrix.The last line consists of two space-separated integers r1 and r2, representing the row numbers to be interchanged.Output format :If the input row numbers r1 or r2 are invalid (less than 1 or greater than the number of rows), the output prints "Invalid row numbers".Otherwise, the modified matrix is printed after swapping the specified rows.

7.25 LAB: Flip MatrixWrite a function that flips the values of an n x n matrix along its diagonal. The diagonal is defined as the elements with the same index on both axes (i.e., 0,0 or 1,1 and so on). Elements that lie on the diagonal are not changed while other elements are swapped with the opposite position (i.e., element in [1][3] switched with [3][1]). Ensure that a valid matrix is provided.Ex: If the input is:16 3 2 135 10 11 89 6 7 124 15 14 1the output is:16 5 9 4 3 10 6 15 2 11 7 14 13 8 12 1 Hint: Use nested loops to iterate through the matrix and swap the appropriate elements.

The matrix A transpose is:a.First row [-1 3 2], second row [0 4 1] and third row [1 2 5]b.First row [1 0 1], second row [0 1 0] and third row [0 0 1]c.First row [1 0 1], second row [0 -3 5] and third row [2 4 -5]d.First row [-1 0 1], second row [3 4 2] and third row [2 1 5]