LeetCode Python Solutions: 136. Single Number

Veröffentlicht am: 25 Mai 2023
auf dem Kanal: NeedCode

ZeroStress LeetCode Python Solutions: 136. Single Number Problem #python #leetcode

https://leetcode.com/problems/single-...

Twitter: / qiaoliuciao

This solution utilizes the property of the bitwise XOR operation to solve the problem efficiently. XOR stands for "Exclusive OR," which is a logical operation that operates on two binary digits or Boolean values.

The XOR operation returns 1 if the corresponding bits in the two Operands are different, and 0 if they are the same.In the context of the "Single Number" problem and the solution here, XOR operation is used to determine the unique number that appears only once in the input list. By XORing all the numbers together, the duplicate numbers effectively cancel each other out, leaving only the single number behind.

The approach is quite simple and straightforward: The solution initializes a variable called result to 0.
It iterates through the input list nums using a for loop. For each number num in nums, it performs the XOR operation (^) between result and num. Since XORing a number with itself results in 0, all the duplicate numbers will be XORed and canceled out.

The only number that remains in result is the single number that appears only once. Finally, the solution returns the value of result. This approach has a linear time complexity of O(n), where n is the length of the input array nums. It iterates through the array once, performing constant-time operations for each element.

For Space complexity, well, It also satisfies the requirement of using only constant extra space.
This solution only uses a single variable, result, to store the XOR result. Regardless of the size of the input list nums, the space used by the solution remains constant because the amount of memory ‘allocated for storing result does not depend on the input size.The solution does not utilize any additional data structures that grow with the input size.
Therefore, the space complexity of this solution is constant, or O(1).

By leveraging the bitwise XOR operation, this solution provides an elegant and efficient approach to solve the "Single Number" problem, ensuring optimal time and space complexity.
00:00 Code
01:38 Solution
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