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花花酱 LeetCode 1318. Minimum Flips to Make a OR b Equal to c

Given 3 positives numbers ab and c. Return the minimum flips required in some bits of a and b to make ( a OR b == c ). (bitwise OR operation).
Flip operation consists of change any single bit 1 to 0 or change the bit 0 to 1 in their binary representation.

Example 1:

Input: a = 2, b = 6, c = 5
Output: 3
Explanation: After flips a = 1 , b = 4 , c = 5 such that (a OR b == c)

Example 2:

Input: a = 4, b = 2, c = 7
Output: 1

Example 3:

Input: a = 1, b = 2, c = 3
Output: 0

Constraints:

  • 1 <= a <= 10^9
  • 1 <= b <= 10^9
  • 1 <= c <= 10^9

Solution: Bit operation

If the bit of c is 1, a / b at least has one 1. cost = 1 – ((a | b) & 1)
If the bit of c is 0, a / b must be 0, cost = (a & 1) + (b & 1)

Time complexity: O(32)
Space complexity: O(1)

C++

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