Pick a number, any number (actually, make it a positive integer). Now, let's play a game. If your number is even, divide it by 2. If it is odd, multiply it by 3 and add 1. Repeat this process with your new number. Repeat over and over again. Lothar Collatz in 1937 guessed that this process will always eventually end at the number 1. Write a Matlab function file that takes an input n (assume the user enters a positive integer) and runs through the Collatz process until a 1 is reached. The function should output count, the number of iterations necessary to reach 1. As a test, your code should report that 63 iterations are necessary if we start with the number 2020.

Pick a number, any number (actually, make it a positive integer). Now, let's play a game. If your number is even, divide it by 2. If it is odd, multiply it by 3 and add 1. Repeat this process with your new number. Repeat over and over again. Lothar Collatz in 1937 guessed that this process will always eventually end at the number 1. Write a Matlab function file that takes an input n (assume the user enters a positive integer) and runs through the Collatz process until a 1 is reached. The function should output count, the number of iterations necessary to reach 1. As a test, your code should report that 63 iterations are necessary if we start with the number 2020.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 34SA

See similar textbooks

Similar questions

Write a detailed code for Sum of Natural Numbers Using for..Loop in go lang programming language with detailed output for example of sum of natural number till 50. Answer with detailed code and output screenshot.
Write a Matlab program in a script file that finds and displays all the numbers between 700 and 2999, whose product of digits is 6 times the sum of the digits (e.g. 2864 since 2*8*6*4 = 6(2+8+6+4)). You may use a loop in the script. For extra credit, print out also the number of times that the product and sum were the same! (5 pts)
Please solve the question by using MATHEMATICA, Write a function to randomly mix up the characters in a word. For example, if the input is "homework", you might output "eoomkwhr" or "wrhomoke". Your function should work on any input length, and all of the input letters must appear in the output.
Using Matlab. Monte Carlo methods are a class of computational methods that rely on repeated random sampling to compute their results. In this problem, you will use the Monte Carlo method to estimate the temperature at an arbitrary point in a uniform solid. Specifically, we will consider the solid object shown below. The temperatures of all surfaces are 500 des F with the exception of the two shaded surfaces, which are at 0 deg F. Inputs to the program should be: 1. The number of random walkers. 2. The (x,,2) coordinates of the point at which the temperature is to be estimated. 3. Plot interval (eg., you may want 1,000,000 random walkers in the simulation but may want to plot after every 10,000). Output from the program should be: 1. A graph of the estimated temperature, plotted according to the plot interval 2. Numerical value of the estimated temperature. USING MATLAB
Use following series to do the given task; 135 79 11 13 15 1719 21 23 25 27 29 31 ... Given the number N of odd numbers in a certain line, your task is to determine the sum of the last three numbers of that line. For example N = 5 means, the third line, the last three numbers are 13, 15 and 17. The summation of these three numbers is 45. InputThe first line tells the number of test cases. From the next line, the input is a sequence of lines, one odd number N (1 < N <1000000000) per line. OutputFor each input line write the sum of the last three odd numbers written in that line of series with N numbers.
Program a simplified Galton board in python. It is required that: The user must select the number of rows n of the board The distribution resulting from dropping the beads should be displayed on the screen. Display an animation where the number of rows n increases over time.All resulting distributions must be scaled to the interval [0, 1], so that it is possible toappreciate the convergence to the normal distribution. Consider n from 1 to 80.
Write a function which returns “odd” or “even” for odd or even inputs, respectively. HINT: evenOrOdd(2) returns “even” and evenOrOdd (7) returns “odd”
Write a MATLAB function M-file, MyFact, to 1. Input a number, x, between 1 and 10 2. Compute and return as output the factorial, x!. Use a for-loop. Do not use built-in functions factorial or prod. No credit will be given for using these functions 3. If x is an array, the program should display a message, and halt 4. If x is not a number between 1 and 10, the program should display a message, and then halt. Examples >> MyFact (5) ans = 120 >>MyFact(11) Error Please enter a number between 1 and 10
Write a function which returns “odd” or “even” for odd or even inputs, respectively. HINT: evenOrOdd(2) returns “even” and evenOrOdd (7) returns “odd” please you use python
Write a MATLAB function M-file, MyFact , to 1. Input a number, x, between 1 and 10 2. Compute and return as output the factorial, x!. Use a for-loop. Do not use built-in functions factorial or prod. No credit will be given for using these functions 3. If x is an array, the program should display a message, and halt 4. If x is not a number between 1 and 10, the program should display a message, and then halt. Examples >» МyFact(5) ans = 120 >>MyFact (11) Error Please enter a number between 1 and 10 Function e C Reset I MATLAB Documentation 1 function fact =MyFact(x) fact = x; %replace this line with code to compute the factorial of x using a for loop 3 end
make the given program run
In Matlab and octave, "rand" built in function gives a random number between 0 and 1. "Type rand and see that a number is returned between 0 and 1". Using the rand function write a script that. Write a script that generates random numbers between 0 and 10 using the rand function. The script must also tells the user if the produced random number is bigger than 5 or equal or less than 5. Such as: X>5 "The number is bigger than 5" X