【LEETCODE】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.

For example,

Given nums = [0, 1, 3] return 2.

Note:

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


题意:

给一个数组,包含n个离散的数字,这些数字是从0到n,但是有一个数字不在数组当中,找到这个数字


注意:

算法的时间复杂度为线性,思考如何保证空间复杂度为常数


思路:

用数学的方法找


参考:

http://bookshadow.com/weblog/2015/08/24/leetcode-missing-number/


class Solution(object):
    def missingNumber(self, nums):
        """
        :type nums: List[int]
        :rtype: int
        """
        
        n=len(nums)
        
        return n*(n+1)/2-sum(nums)


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