Given an integer n
, you must transform it into 0
using the
following operations any number of times:
0th
) bit in the binary
representation of n
.
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