#1404
Number of Steps to Reduce a Number in Binary Representation to One
specialist · 655 · lc medium +30 · verified · 63.7% accepted · 1,739 likes · top 66%
Description
A binary string s encodes a positive integer. Repeatedly apply: divide by 2 if the value is even, or add 1 if odd. Return the total number of steps until the value reaches 1. It is guaranteed that 1 is always reachable.
Example 1:
Input: s = "1101"
Output: 6
Explanation: "1101" corressponds to number 13 in their decimal representation.
Step 1) 13 is odd, add 1 and obtain 14.
Step 2) 14 is even, divide by 2 and obtain 7.
Step 3) 7 is odd, add 1 and obtain 8.
Step 4) 8 is even, divide by 2 and obtain 4.
Step 5) 4 is even, divide by 2 and obtain 2.
Step 6) 2 is even, divide by 2 and obtain 1.
Example 2:
Input: s = "10"
Output: 1
Explanation: "10" corresponds to number 2 in their decimal representation.
Step 1) 2 is even, divide by 2 and obtain 1.
Example 3:
Input: s = "1"
Output: 0
Code
1
2
3