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面试题53 - II. 0~n-1中缺失的数字

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题目描述

一个长度为n-1的递增排序数组中的所有数字都是唯一的,并且每个数字都在范围0~n-1之内。在范围0~n-1内的n个数字中有且只有一个数字不在该数组中,请找出这个数字。

示例 1:

输入: [0,1,3]
输出: 2

示例 2:

输入: [0,1,2,3,4,5,6,7,9]
输出: 8

限制:

  • 1 <= 数组长度 <= 10000

解法

Python3

class Solution:
    def missingNumber(self, nums: List[int]) -> int:
        l, r = 0, len(nums) - 1
        if r == 0 or nums[0] == 1:
            return nums[0] ^ 1
        if nums[r] == r:
            return r + 1
        while r - l > 1:
            m = l + ((r - l) >> 1)
            if nums[m] == m:
                l = m
            else:
                r = m
        return nums[r] - 1

Java

class Solution {
    public int missingNumber(int[] nums) {
        int l = 0, r = nums.length - 1;
        if (r == 0 || nums[0] == 1) {
            return nums[0] ^ 1;
        }
        if (nums[r] == r) {
            return r + 1;
        }
        while (r - l > 1) {
            int m = l + ((r - l) >> 1);
            if (nums[m] == m) {
                l = m;
            } else {
                r = m;
            }
        }
        return nums[r] - 1;
    }
}

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