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[LeetCode] Missing Number

时间:2015-09-11 15:39:49      阅读:111      评论:0      收藏:0      [点我收藏+]

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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?

 

分析一:利用数学公式:1+2+3+4+...+n = n(n+1)/2

  要找的数就是和减去已有的数。

class Solution {
public:
    int missingNumber(vector<int>& nums) {
        int count = nums.size();
        int sum = count * (count + 1) / 2;
        
        for (vector<int>::iterator iter = nums.begin(); iter != nums.end(); ++iter) {
            sum -= *iter;
        }
        
        return sum;
    }
};

 

分析二:利用位操作。

public int missingNumber(int[] nums) { //xor
    int res = nums.length;
    for(int i=0; i<nums.length; i++){
        res ^= i;
        res ^= nums[i];
    }
    return res;
}

 

[LeetCode] Missing Number

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原文地址:http://www.cnblogs.com/vincently/p/4800917.html

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