LeetCode 1009. Complement of Base 10 Integer Solution in Java, C++, Python & More | Explanation + Code

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1009. Complement of Base 10 Integer

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 5 is "101" in binary and its complement is "010" which is the integer 2.

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)

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