Write a program that prompts the user to enter an integerm and find the smallest integer n such that m * n is a perfect square. (Hint:Store all smallest factors of m into an array list. n is the product of the factors thatappear an odd number of times in the array list. For example, consider m = 90,store the factors 2, 3, 3, and 5 in an array list. 2 and 5 appear an odd number oftimes in the array list. Thus, n is 10.) Here are some sample run: Enter an integer m: 1500 ↵EnterThe smallest number n for m * n to be a perfect square is 15m * n is 22500

2. Implement a function called findMinGap that will return the smallest gap betweenadjacent entries of an integer array. A gap between two numbers is the absolutevalue of their difference. For example, if an array contains the elements {10, 14,-5, -3, 0, 5, 7}, the minimum gap is 2 (between -5 and -3).Title line: int findMinGap(int array[], int length)

x = zeros(5,5)for i = 1:1:5for j = 1:1:5x(i,j) = i*j;endendWhich of the following best describes the variable i?  1. An array of length 5 2. A constant value in the equation i*j 3. A counting variable that indexes columns 4. A counting variable that indexes rows

Create a program that will encrypt letters and create a secret code.  You will create an array of numbers from 0 - 25. use [i for i in range (26)] to create an array of numbers from 0 - 25. use random.shuffle to to shuffle the above array.  This will be used for a new letter index order.   For example:  The first created array [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25] gets shuffled to become[2, 14, 12, 20, 16, 5, 11, 1, 13, 17, 15, 21, 19, 10, 23, 22, 25, 3, 6, 7, 18, 4, 9, 24, 0, 8] This will be used as the new index for the encrypted alphabet.   create an array of letters using list(string.ascii_lowercase), this requires importing  the string module.   This will create: ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z'] Accept an input of a word.  Using the above tables take each letter of the word and convert it to the encrypted letter.   Print each…