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Grokking the Coding Interview Patterns in Python

Solution: Number of Steps to Reduce a Binary Number to One

Explore how to apply greedy techniques for optimization by counting the steps to reduce a binary number to one. Learn to manage carries and divide operations efficiently while understanding the step-by-step process and time-space complexity.

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Statement

You are given a string, str, as a binary representation of an integer. Your task is to return the number of steps needed to reduce it to 11 by following these rules:

  • If the number is even, divide it by 22.

  • If the number is odd, add 11 to it.

You can always reach 1 for all provided test cases.

Constraints:

  • 1<=1 <= str.length <=500<= 500 ...