Minimum One Bit Operations to Make Integers Zero SOLUTION

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Minimum One Bit Operations to Make Integers Zero SOLUTION

Given an integer n, you must transform it into 0 using the following operations any number of times:

Change the rightmost (0th) bit in the binary representation of n.

Change the ith bit in the binary representation of n if the (i-1)th bit is set to 1 and the (i-2)th through 0th bits are set to 0.

Return the minimum number of operations to transform n into 0.

Example 1:

Input: n = 0

Output: 0

 

Example 2:

Input: n = 3

Output: 2

Explanation: The binary representation of 3 is “11”.

“11” -> “01” with the 2nd operation since the 0th bit is 1.

“01” -> “00” with the 1st operation.

 

Example 3:

Input: n = 6

Output: 4

Explanation: The binary representation of 6 is “110”.

“110” -> “010” with the 2nd operation since the 1st bit is 1 and 0th through 0th bits are 0.

“010” -> “011” with the 1st operation.

“011” -> “001” with the 2nd operation since the 0th bit is 1.

“001” -> “000” with the 1st operation.

 

Example 4:

Input: n = 9

Output: 14

 

Example 5:

Input: n = 333

Output: 393

 

Constraints:

0 <= n <= 109

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