Generation

generate functionThu, 22 Dec 2022

The Collatz conjecture (also known as 3n+1 conjecture) is a conjecture that applying the following algorithm to any number we will always eventually reach one: [This is writen in pseudocode] if(number is even) number = number / 2 if(number is odd) number = 3*number + 1 #Task Your task is to make a function hotpo that takes a positive n as input and returns the number of times you need to perform this algorithm to get n = 1. #Examples hotpo(1) returns 0 (1 is already 1) hotpo(5) returns 5 5 -> 16 -> 8 -> 4 -> 2 -> 1 hotpo(6) returns 8 6 -> 3 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1 hotpo(23) returns 15 23 -> 70 -> 35 -> 106 -> 53 -> 160 -> 80 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1

def hotpo(n): steps = 0 while n > 1: if n % 2 == 0: n /= 2 else: n = 3 * n + 1 steps += 1 return steps

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