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1611. Minimum One Bit Operations to Make Integers Zero

Description

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 = 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 2:

 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. 

 

Constraints:

  • 0 <= n <= 109

Solutions

  • class Solution { public int minimumOneBitOperations(int n) { int ans = 0; for (; n > 0; n >>= 1) { ans ^= n; } return ans; } } 
  • class Solution { public: int minimumOneBitOperations(int n) { int ans = 0; for (; n > 0; n >>= 1) { ans ^= n; } return ans; } }; 
  • class Solution: def minimumOneBitOperations(self, n: int) -> int: ans = 0 while n: ans ^= n n >>= 1 return ans 
  • func minimumOneBitOperations(n int) (ans int) { for ; n > 0; n >>= 1 { ans ^= n } return } 
  • function minimumOneBitOperations(n: number): number { let ans = 0; for (; n > 0; n >>= 1) { ans ^= n; } return ans; } 

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