Program with "5 10 20 40" pattern in Python without infinite "if" statements-CodePudding

I want to make a python program where the user inserts a number

If number < 5, it prints 0

If 5 < number < 10, it prints 1

If 10 < number < 20, it prints 2

If 20 < number < 40, it prints 3

If 40 < number < 80, it prints 4

If 80 < number < 160, it prints 5

If 160 < number .... and so on forever

The pattern is 5 10 20 40 80 160 320 640 1280...

I am pretty new to coding and I'm not sure how to do that, any help is appreciated.

CodePudding user response：

Using the concept of Geometric progression your function can be written as :

import math

def bucket(value):
    return math.ceil(math.log(value/5)/math.log(2))

where 5 is first term of the sequence and the common ratio be 2.

Output :

bucket(321)
7