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【leetcode78】Single Number II

题目描述:
给定一个数组,里面除了一个数字,其他的都出现三次。求出这个数字
原文描述:

Given an array of integers, every element appears three times except for one. Find that single one.

Note:

Your algorithm should have a linear runtime complexity. Could you implement it without using extra memory?

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思路:
  • 设置一个32位的数组,然然后对数组,Array【i】代表i位的1个数,统计整个数组nums【】的数字,对于每个Array【i】做mod3的运算
  • 遍历nums【】数组时候,是左移&1取出,加到Array【i】上面,然后mod3
  • 最后右移加到result上面
代码:
// Single Number II
// 方法1,时间复杂度O(n),空间复杂度O(1)
public class Solution {
    public int singleNumber(int[] nums) {
        final int W = Integer.SIZE; // 一个整数的bit数,即整数字长
        int[] count = new int[W];  // count[i]表示在在i位出现的1的次数
        for (int i = 0; i < nums.length; i++) {
            for (int j = 0; j < W; j++) {
                count[j] += (nums[i] >> j) & 1;
                count[j] %= 3;
            }
        }
        int result = 0;
        for (int i = 0; i < W; i++) {
            result += (count[i] << i);
        }
        return result;
    }
};
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