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268. Missing Number.go
268. Missing Number_test.go

268. Missing Number


Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, find the one that is missing from the array.

Example 1:

Input: [3,0,1]
Output: 2

Example 2:

Input: [9,6,4,2,3,5,7,0,1]
Output: 8

Note:Your algorithm should run in linear runtime complexity. Could you implement it using only constant extra space complexity?


给定一个包含 0, 1, 2, ..., n 中 n 个数的序列,找出 0 .. n 中没有出现在序列中的那个数。算法应该具有线性时间复杂度。你能否仅使用额外常数空间来实现?


  • 要求找出 0, 1, 2, ..., n 中缺失的那个数。还是利用异或的性质,X^X = 0。这里我们需要构造一个 X,用数组下标就可以了。数字下标是从 [0,n-1],数字是 [0,n],依次把数组里面的数组进行异或,把结果和 n 再异或一次,中和掉出现的数字,剩下的那个数字就是之前没有出现过的,缺失的数字。
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