A fractal pattern has the sequence {1, 10, 100, 1000, ...}. The recursive formula is _________

ASSIGNMENT: Write a program to use the capability of Recursion to calculate factorials. For example, 5 factorial is normally written as 5! 5! = 5*4*3*2*1 5! = 120 Use recursive function calling to multiply. 5*4*3*2*1 And then print the result. 120 Your output should resemble the image below.>sh -c jav d. -type f> java -cla 5 4 2 5! = 120 } Note: 5! is use in this example but your program should calculate the factorial for any number entered.

Write a recursive function that displays the number of even and odd digits in an integer using the following header: void evenAndOddCount(int value) Write a test program that prompts the user to enter an integer and displays the number of even and odd digits in it.

Format Requirement Algorithms in pseudo code MUST be placed in code blocks/fences, and use either the cpp or java syntax highlighter. Algorithms should follow the pseudo code standard described in handout 1. Your pseudo code should be placed in a code block, for example Algorithm alg_name(a, b) { // A description of the algorithm // input: a - a positive decimal integer; b - an integer // ouput: the sum of a and b c = a + b // or, c <- a + b return c } Do NOT change the template except the answer portion. Formulas and equations should be in math mode using Latex math symbols. Markdown math tutorial: http://tug.ctan.org/info/undergradmath/undergradmath.pdf Ways enter into the math mode in Notion: https://www.notion.so/help/math-equations

Recursive Power MethodWrite a method called powCal that uses recursion to raise a number to a power. The method should accept two arguments: The first argument is the exponent and the second argument is the number to be raised (example" powCal(10,2) means 210). Assume that the exponent is a nonnegative integer. Demonstrate the method in a program called Recursive (This means that you need to write a program that has at least two methods: main and powCal. The powCal method is where you implement the requirements above and the main method is where you make a method call to demonstrate how your powCal method work).

C Programming Language Note: Input and Output Must be the same Write in C Language

java prgm

PYTHON 3.7 CODELAB

Format Requirement Algorithms in pseudo code MUST be placed in code blocks/fences, and use either the cpp or java syntax highlighter. Algorithms should follow the pseudo code standard described in handout 1. Your pseudo code should be placed in a code block, for example Algorithm alg_name(a, b) { // A description of the algorithm // input: a - a positive decimal integer; b - an integer // ouput: the sum of a and b c = a + b // or, c <- a + b return c } Do NOT change the template except the answer portion. Formulas and equations should be in math mode using Latex math symbols. Markdown math tutorial: http://tug.ctan.org/info/undergradmath/undergradmath.pdf Ways enter into the math mode in Notion: https://www.notion.so/help/math-equations

C++

Python question Analysis: Invariants (Q16-17) For each of the following functions, identify the loop invariant, exit condition and post condition. Question 16 (Invariant 1) This function returns the list of integers that are multiples of both 3 and 7 that occurs within a given list. Identify the loop exit condition, the loop post-condition, and the loop invariant at the end of the loop, which shows the algorithm’s correctness. def multiples_count(lst): """ Input: a list of integers, lst Output: the list of integers in lst that are multiples of both 3 and 7 """ res = [] for i in range(len(lst)): if lst[i]%3 == 0 and lst[i]%7 == 0: res.append(lst[i]) # Identify the loop invariant here return res Question 17 (Invariant 2) This function checks if a given list (of comparable elements) is sorted in ascending order. Identify the loop exit condition, the loop post-condition, and the loop invariant at the end of each iteration of the loop, which...

Format Requirement Algorithms in pseudo code MUST be placed in code blocks/fences, and use either the cpp or java syntax highlighter. Algorithms should follow the pseudo code standard described in handout 1. Your pseudo code should be placed in a code block, for example Algorithm alg_name(a, b) { // A description of the algorithm // input: a - a positive decimal integer; b - an integer // ouput: the sum of a and b c = a + b // or, c <- a + b return c } Do NOT change the template except the answer portion. Formulas and equations should be in math mode using Latex math symbols. Markdown math tutorial: http://tug.ctan.org/info/undergradmath/undergradmath.pdf Ways enter into the math mode in Notion: https://www.notion.so/help/math-equations

in c++ using 2D Arrays The following diagram represents an island with dry land (represented by "-") surrounded by water ((represented by "#"). ##-########## #-----------# #-----------# #------------ # -----------# #------X----# #-----------# ############# Two bridges lead off the island. A mouse (represented by "X") is placed on the indicated square. Write a program to make the mouse take a walk across the island. The mouse is allowed to travel one square at a time, either horizontally or vertically. A random number from 1 to 4 should be used to decide which direction the mouse is to take; for the sake of uniformity assume that 1 = up, 2 = down, 3 = left, and 4 = right. Since the mouse is wearing cement mouse galoshes, the mouse drowns when he hits the water. He escapes when he steps on a bridge. You may generate a random number up to 100 times allowing the mouse to take 100 steps. If the mouse does not find a bridge by the 100th try, he will wither away and die of starvation....