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283.move-zeroes.md

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题目地址

https://leetcode.com/problems/move-zeroes/description/

题目描述

Given an array nums, write a function to move all 0's to the end of it while maintaining the relative order of the non-zero elements.

Example:

Input: [0,1,0,3,12]
Output: [1,3,12,0,0]
Note:

You must do this in-place without making a copy of the array.
Minimize the total number of operations.

思路

如果题目没有要求modify in-place 的话,我们可以先遍历一遍将包含0的和不包含0的存到两个数字, 然后拼接两个数组即可。 但是题目要求modify in-place, 也就是不需要借助额外的存储空间,刚才的方法 空间复杂度是O(n).

那么如果modify in-place呢? 空间复杂度降低为1。

我们可以借助一个游标记录位置,然后遍历一次,将非0的原地修改,最后补0即可。

关键点解析

代码

  • 语言支持:JS,C++

JavaScript Code:

/*
 * @lc app=leetcode id=283 lang=javascript
 *
 * [283] Move Zeroes
 *
 * https://leetcode.com/problems/move-zeroes/description/
 *
 * algorithms
 * Easy (53.69%)
 * Total Accepted:    435.1K
 * Total Submissions: 808.3K
 * Testcase Example:  '[0,1,0,3,12]'
 *
 * Given an array nums, write a function to move all 0's to the end of it while
 * maintaining the relative order of the non-zero elements.
 * 
 * Example:
 * 
 * 
 * Input: [0,1,0,3,12]
 * Output: [1,3,12,0,0]
 * 
 * Note:
 * 
 * 
 * You must do this in-place without making a copy of the array.
 * Minimize the total number of operations.
 * 
 */
/**
 * @param {number[]} nums
 * @return {void} Do not return anything, modify nums in-place instead.
 */
var moveZeroes = function(nums) {
    let index = 0;
    for(let i = 0; i < nums.length; i++) {
        const num = nums[i];
        if (num !== 0) {
            nums[index++] = num;
        }
    }

    for(let i = index; i < nums.length; i++) {
        nums[index++] = 0;
    }
};

C++ Code:

解题思想与上面JavaScript一致,做了少许代码优化(非性能优化,因为时间复杂度都是O(n)): 增加一个游标来记录下一个待处理的元素的位置,这样只需要写一次循环即可。

class Solution {
public:
    void moveZeroes(vector<int>& nums) {
        vector<int>::size_type nonZero = 0;
        vector<int>::size_type next = 0;
        while (next < nums.size()) {
            if (nums[next] != 0) {
                // 使用std::swap()会带来8ms的性能损失
                // swap(nums[next], nums[nonZero]);
                auto tmp = nums[next];
                nums[next] = nums[nonZero];
                nums[nonZero] = tmp;
                ++nonZero;
            }
            ++next;
        } 
    }
};