ΡΥTHO Big-O CODING/SOLVING Consider the function below written in Python3: def bar(x, y): if y > 0: if (y % 2): return bar(x, y >> 1) + bar(x, y >> 1) + x return bar(x, y >> 1) + bar(x, y >> 1) else: return 0 Question: What is the worst-case auxiliary space complexity of bar(x, y)? Answer:
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What is the worst case auxiliary space complexity of bar(x,y)?
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- Programming Language: Python 5. Write a Python function that takes a positive integer n as an argument and returns 1 if n is prime, and 0 otherwiseA prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, how‐ ever, is not prime because it can be divided evenly by 1, 2, 3, and 6. (Python program)Write a Boolean function named is_prime which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise. Use the function in a program that prompts the user to enter a number then displays a message indicating whether the number is prime***IN PSUEDOCODE ONLY - not a real programming language!!*** Question:A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6. Design a Boolean function called isPrime, that accepts an integer as an argument and returns True if the argument is a prime number, or False otherwise. Use the function in a program that prompts the user to enter a number and then displays a message indicating whether the number is prime. The following modules should be written: - getNumber, that accepts a Ref to an integer, prompts the user to enter a number, and accepts that input - isPrime, that accepts an integer as an argument and returns True if the argument is a prime number, or False otherwise - showPrime, that accepts an integer as an argument , calls isPrime, and displays a message indicating whether the…
- Write a fraction calculator program. Your program should check for the division by 0, have and use the following functions: abs - returns the absolute value of a given integer.min - returns the smallest of two positive integers.gcd - returns the greatest common divisor of two positive integers. the program should run repeatedly until the user wants to quit. please provide an explanation and don't use expert/professional commands. thank you in advance!python3 program In mathematics, a harshad number is an integer that is evenly divisible by the sum of its digits. For example, 18 is a harshad number because 1 + 8 = 9 and 18 is divisible by 9. Write a function that returns the number of harshad numbers between 1 and 1000000.Programming Language: Python 5. Write a Python function that will take a positive integer n from the user as an argument and returns 1 if n is prime, and 0 otherwise
- language: Python Problem: Define a global variable, countcalls, and increment it inside a power(x, n) function, so that it counts the number of times the power function is called. Show that it produces the expected number of calls for power(2, 10) and power(5, 10) and power(5, 0), each separately.Write a C program: The use of computers in education is referred to as computer-assisted instruction (CAI). Write a C program that will help an elementary school student learn multiplication. Use the rand function to produce two positive one-digit integers. The program should then prompt the user with a question, such as How much is 6 times 7' The student then inputs the answer. Next, the program checks the student's answer. If it's correct, display the message "Very good!" and ask another multiplication question. If the answer is wrong, display the message "No. Please try again." and let the student try the same question repeatedly until the student finally gets it right. A separate function should be used to generate each new question. This function should be called once when the application begins execution and each time the user answers the question correctly.Programming Language = Python 3. Recursive Lines Write a recursive function that accepts an integer argument, n. The function should display n lines of asterisks on the screen, with the first line showing 1 asterisk, the second line showing 2 asterisks, up to the nth line which shows n asterisks. Sample Output A AA AAA AAAA NOTE: Print A NOT * character as an output for n.
- Computer Science Python 3 1) It will need to accept user input (At several different points) 2) Each mathematic operation needs to be it's own function/method: Addition - Takes up to 5 arguments Subtraction - - Takes 3 arguments Multiplication - Takes 4 arguments Division - Takes 2 arguments Log - Takes 1 argument Raise a number to a power ex. X squared Solve Pythagorean theorem Factorial 3) Create the ability for a user to use up to 3 of the aforementioned operations together. Example, I can add 5 numbers making result X. I may then take X, and divide it by 4, generating result Y. That's an example of 2, but you get the idea.python3 Consider the function -1/x , if -100 ≤ x < 0 f(x)= { 1/x , if 0 < x ≤ 100 Make a program that reads the value of x and returns the value of f (x) based on the definition above. Note that the function is not defined for all actual values. If the user enters a value of x that does not belong to the Function domain, the program should output the message 'invalid input'. Tips 1. Some of the useful (and, or, not) Boolean operators, 2. Print output to 4 decimal places use a round () function. examples of input and output input 50.0 output 0.02 input 0.0 output input invalid input -25.5 output input 0.0392c++ programming Given the following functions: void sum(int a, int b) { cout << a+b << "\n";}int sum(int a, int b) { return a+b;}int main() { int a=5, b=10; sum(a, b); return 0;} Explain the problem with the sum functions