260. Single Number III

本文介绍了一种算法,用于在数组中找到恰好出现两次的其他元素之后,仅出现一次的两个数。通过利用一的补码表示,实现算法在常数空间复杂度下运行,并且提供了一个实例说明。

Given an array of numbers nums, in which exactly two elements appear only once and all the other elements appear exactly twice. Find the two elements that appear only once.

For example:

Given nums = [1, 2, 1, 3, 2, 5], return [3, 5].

Note:

  1. The order of the result is not important. So in the above example, [5, 3] is also correct.
  2. Your algorithm should run in linear runtime complexity. Could you implement it using only constant space complexity?

Similar

136. Single Number

137. Single Number II

 

Explain:

In one's-complement (反码) representation, positive numbers are simply represented as themselves, and negative numbers are represented by the one's complement of their absolute value

In two's-complement (补码) representation, positive numbers are simply represented as themselves, and negative numbers are represented by the two's complement of their absolute value

[+1] = [00000001] = [00000001] = [00000001]

[-1]  = [10000001] = [11111110] = [11111111]

计算机使用补码进行计算

 

 1 public class Solution {
 2     public int[] singleNumber(int[] nums) {
 3         // Pass 1 : 
 4         // Get the XOR of the two numbers we need to find
 5         int diff = 0;
 6         for (int num : nums) {
 7             diff ^= num;
 8         }
 9         // Get its last set bit which num1 is diff from num2
10         diff &= -diff;
11 
12         // Pass 2 :
13         int[] rets = {0, 0}; // this array stores the two numbers we will return
14         for (int num : nums)
15         {
16             if ((num & diff) == 0) // the bit is not set // use ()
17             {
18                 rets[0] ^= num;
19             }
20             else // the bit is set
21             {
22                 rets[1] ^= num;
23             }
24         }
25         return rets;
26     }
27 }

 

转载于:https://www.cnblogs.com/joycelee/p/5407799.html

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