448. Find All Numbers Disappeared in an Array 找到所有数组中消失的数字


作者: 负雪明烛 id: fuxuemingzhu 个人博客: http://fuxuemingzhu.cn/


@TOC

[LeetCode]

题目地址:https://leetcode.com/problems/find-all-numbers-disappeared-in-an-array/open in new window

  • Total Accepted: 14302
  • Total Submissions: 24993
  • Difficulty: Easy

题目描述

Given an array of integers where 1 ≤ a[i] ≤ n (n = size of array), some elements appear twice and others appear once.

Find all the elements of [1, n] inclusive that do not appear in this array.

Could you do it without extra space and in O(n) runtime? You may assume the returned list does not count as extra space.

Example:

Input: [4,3,2,7,8,2,3,1]

Output: [5,6]

题目大意

方法一:暴力求解

刚开始没想到很有效的方法,只能用暴力解决。但这个方法不符合题目没有额外空间的要求。

class Solution(object):
    def findDisappearedNumbers(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        cList = list(range(1, len(nums) + 1))
    	returnList = []
    	for x in nums:
    		cList[x - 1] = 0
    	for x in cList:
    		if x != 0:
    			returnList.append(x)
    	return returnList

AC:359 ms

方法二:原地变负做标记

参考了别人的,我学会了一种方法:原地变负来标记。比如对于[4, 3, 2, 7, 8, 2, 3, 1],把这些元素作为list的索引,指向的元素变换成负数,那么,没有变换成负数的位置就是没有人指向它,故这个位置对应的下标没有出现。

class Solution(object):
    def findDisappearedNumbers(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        for i in range(len(nums)):
            index=abs(nums[i])-1
            nums[index]= - abs(nums[index])
    	return [i+1 for i in range(len(nums)) if nums[i] > 0]

AC:362 ms

这个速度仍然不理想。

方法三:使用set

已经告诉我们缺少了部分数字,那么我们可以先用set进行去重。然后再次遍历1~N各个数字,然后找出没有在set中出现的数字即可。

Python代码如下,打败96%.

class Solution(object):
    def findDisappearedNumbers(self, nums):
        """
        :type nums: List[int]
        :rtype: List[int]
        """
        res = []
        numset = set(nums)
        N = len(nums)
        for num in range(1, N + 1):
            if num not in numset:
                res.append(num)
        return res

日期

2017 年 1 月 2 日 2018 年 11 月 10 日 —— 这么快就到双十一了??