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[LeetCode] 280. Wiggle Sort #280

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@grandyang

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@grandyang

 

Given an unsorted array nums, reorder it in-place such that nums[0] <= nums[1] >= nums[2] <= nums[3]....

Example:

Input: nums = [3,5,2,1,6,4]
Output: One possible answer is [3,5,1,6,2,4]

 

这道题让我们求���动排序,跟 Wiggle Sort II 相比起来,这道题的条件宽松很多,只因为多了一个等号。由于等号的存在,当数组中有重复数字存在的情况时,也很容易满足题目的要求。这道题先来看一种时间复杂度为 O(nlgn) 的方法,思路是先给数组排个序,然后只要每次把第三个数和第二个数调换个位置,第五个数和第四个数调换个位置,以此类推直至数组末尾,这样就能完成摆动排序了,参见代码如下:

 

解法一:

class Solution {
public:
    void wiggleSort(vector<int>& nums) {
        sort(nums.begin(), nums.end());
        if (nums.size() <= 2) return;
        for (int i = 2; i < nums.size(); i += 2) {
            swap(nums[i], nums[i - 1]);
        }
    }
};

 

这道题还有一种 O(n) 的解法,根据题目要求的 nums[0] <= nums[1] >= nums[2] <= nums[3]....,可以总结出如下规律:

当i为奇数时,nums[i] >= nums[i - 1]

当i为偶数时,nums[i] <= nums[i - 1]

那么只要对每个数字,根据其奇偶性,跟其对应的条件比较,如果不符合就和前面的数交换位置即可,参见代码如下:

 

解法二:

class Solution {
public:
    void wiggleSort(vector<int>& nums) {
        if (nums.size() <= 1) return;
        for (int i = 1; i < nums.size(); ++i) {
            if ((i % 2 == 1 && nums[i] < nums[i - 1]) || (i % 2 == 0 && nums[i] > nums[i - 1])) {
                swap(nums[i], nums[i - 1]);
            }
        }
    }
};

 

Github 同步地址:

#280

 

类似题目:

Wiggle Sort II

Sort Colors

 

参考资料:

https://leetcode.com/problems/wiggle-sort/

https://leetcode.com/problems/wiggle-sort/discuss/71692/Java-O(N)-solution

https://leetcode.com/problems/wiggle-sort/discuss/71688/4-lines-O(n)-C%2B%2B

https://leetcode.com/problems/wiggle-sort/discuss/71693/My-explanations-of-the-best-voted-Algo

 

LeetCode All in One 题目讲解汇总(持续更新中...)

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