Description
The complement of an integer is the integer you get when you flip all the 0's to 1's and all the 1's to 0's in its binary representation.
- For example, The integer
5is"101"in binary and its complement is"010"which is the integer2.
Given an integer n, return its complement.
Example 1:
Input: n = 5 Output: 2 Explanation: 5 is "101" in binary, with complement "010" in binary, which is 2 in base-10.
Example 2:
Input: n = 7 Output: 0 Explanation: 7 is "111" in binary, with complement "000" in binary, which is 0 in base-10.
Example 3:
Input: n = 10 Output: 5 Explanation: 10 is "1010" in binary, with complement "0101" in binary, which is 5 in base-10.
Constraints:
0 <= n < 109
Note: This question is the same as 476: https://leetcode.com/problems/number-complement/
Solutions
Solution 1: Bit Manipulation
First, we check if n is 0. If it is, we return 1.
Next, we define two variables ans and i, both initialized to 0. Then we iterate through n. In each iteration, we set the i-th bit of ans to the inverse of the i-th bit of n, increment i by 1, and right shift n by 1.
Finally, we return ans.
The time complexity is O(log n), where n is the given decimal number. The space complexity is O(1).
PythonJavaC++GoTypeScriptRustC#
class Solution: def bitwiseComplement(self, n: int) -> int: if n == 0: return 1 ans = i = 0 while n: ans |= ((n & 1 ^ 1) << i) i += 1 n >>= 1 return ans(code-box)
