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- I need help problem: A two dimensional random walk simulates the behavior of a particle moving in a grid of points. At each step, the random walker moves north, South, east, or West with probability 1/4, independent of previous moves. Compose a program that takes a command line argument n and estimates how long it will take a random walker to hit the boundary of a 2n-by-2n square centered at the starting point.The volume of a sphere is 4/3πr3, where π has the value of "pi" given in Section 2.1 of your textbook. Write a function called print_volume (r) that takes an argument for the sphere's radius and prints the sphere's volume. Call your print_volume function three times with different values for radius. Include all of the following in your Learning Journal: The code for your print_volume function. The inputs and outputs to three calls of your print_volume.Write a program that will:• Select a random number between 1 and 100.• Test if the number is prime• Call a function named isPrime(). Pass the number to be tested. isPrime() should test whetherthe number has any factors other than 1 and itself. isPrime() returns either True or False.• isPrime() should use a function isDivisible(x,y) to test if y divides evenly into x. That is,isDivisible() will identify whether y is a factor of x.• Print the result
- Rolling a single six-sided die produces a random number between 1 and 6 with a uniform distribution. Rolling two dice produces a number between 2 and 12 with a binomial distribution. In this lab you will simulate a number of dice rolls and graph the number of occurrences of each value. 1) Create a function called rollDie() that takes no parameters, and returns a random value between 1 and 6. Do not seed the random number generator in this function. int rollDie() 2) Create a function called initArray() that takes a data array and the size of the array as parameters and fills each element with the summed results of rolling two dice. Do not assume that the data array has been initialized. void initArray(int data[], int size) 3) Create a function called sortArray() that takes an array and the size of the array as parameters, and sorts the array using the sediment sort. void sortArray(int data[], int size) The sediment sort works as follows: start with the second element in the array if…While carpet shopping for her living room, Carol Jones noticed that some carpet prices are per square yard, while others are per square foot. Carol wants a program that calculates and displays the area of a floor in both square feet and square yards. She will enter the floor’s measurements in feet. Desk-check your solution’s algorithm twice, using your own set of data.Define function print_popcorn_time() with parameter bag_ounces. If bag_ounces is less than 3, print "Too small". If greater than 10, print "Too large". Otherwise, compute and print 6 * bag_ounces followed by "seconds". End with a newline. Remember that print() automatically adds a newline.Sample output with input: 742 seconds ''' Your solution goes here ''' user_ounces = int(input())print_popcorn_time(user_ounces)
- A pentagonal number is defined as for and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number:def getPentagonalNumber(n):Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.The population of a town A is less than the population of town B. However, the population of townA is growing faster than the population of town B. Write a program that prompts the user to enterthe population and growth rate of each town. The output of program should be after how manyyears the population of town A will be greater than or equal to the population of town B. Alsowhat will be the population of both the towns at that time?A sample input is: Population of town B = 8000, growth rate of town B = 2%, population of townA = 5000, and growth rate of town A = x. where x = last digit of your CNIC.Note: If the last digit of your CNIC is 1 or 2, add 2 to it, else no change should be made if last digitis between 3 to 9.The sigmoid function takes an input x of any real number and returns an output value in the range of -1 and 1. Write a program that takes a real number x as the input (x is of type double) and computes its sigmoid value. The sigmoid can be computed using the equation below. For ez use the function exp(), which is available in #include <cmath>. Expected output 1 (bold is user input) Enter a value for x: 1 The sigmoid for x=1 is 0.731059 Expected output 2 (bold is user input) Enter a value for x: 10 The sigmoid for x=10 is 0.999955 The file should be named as calcSigmoid.cpp. Don’t forget to head over to Coderunner on Canvas and paste your solution in the answer box!
- Whenever they zig, you gotta zag def is_zigzag(n): A positive integer n is called a zigzag number (also called an “alternating number” in some combinatorics material) if the series of differences between its consecutive digits strictly alternates between positive and negative steps. The step from the first digit to the second may be either positive or negative. The function should determine whether n is a zigzag number. In the negative examples in the table below, the part of the number that violates the zigzag property is highlighted in red.Whenever they zig, you gotta zag def is_zigzag(n): A positive integer n is called a zigzag number (also called an “alternating number” in some combinatorics material) if the series of differences between its consecutive digits strictly alternates between positive and negative steps. The step from the first digit to the second may be either positive or negative. The function should determine whether n is a zigzag number.In the negative examples in the table below, the part of the number that violates the zigzag property is underlined. n Expected result 7 True 25391 True 90817263545463728185 True 16329 False 104175101096715 False 49573912009 FalseDuring this COVID-19 pandemic, doctors have advised that a person can check the health of his/her lungs by holding breath for some period of time. To confirm this, a group of youths would like to carry out a “hold your breath challenge”. A C program is required to perform the following tasks;• Capture the period of holding breath and the corresponding frequency from the experiment. The table below provides a sample of the values to be captured by the program. Your program is not restricted to capturing these very values but mind about the type.Frequency(f)[4,2,1,4,6,3] Period of holding breath (x)[12.1,12.4,12.5,12.7,13.0,13.1] (a)Print out a frequency table for the values captured as follows Period(x). Frequency (f) ............ ............ ............. ............. (b) Calculate and print out the mean period of holding the breath from this experiment.