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知乎高赞！2道大厂高频笔试算法题！你会吗？

对于如今找工作的小伙伴们，只要是涉及到编程的岗位，无一例外都会对编程进行考察，所以大家要在平时的学习中，多多的去练习编程，提高自己的编程能力。今天，小编就带领大家来学习两道出现频率较高的趣味笔试题，让大家在学习的过程中，来提高进步。



01

两地调度为题


1).题目描述：公司计划面试 2N 人。第 i 人飞往 A 市的费用为 costs[i][0]，飞往 B 市的费用为 costs[i][1]。

返回将每个人都飞到某座城市的最低费用，要求每个城市都有 N 人抵达。例如：

输入：[[10,20],[30,200],[400,50],[30,20]]输出：110解释：第一个人去 A 市，费用为 10。第二个人去 A 市，费用为 30。第三个人去 B 市，费用为 50。第四个人去 B 市，费用为 20。

最低总费用为 10 + 30 + 50 + 20 = 110，每个城市都有一半的人在面试。

2).思路：

面对这种问题，我们可以采用贪心算法来解决。


原因是，我们针对每一个人都找到他去往A地或者是B地的最低费用，而这样的局部最优解就能够组成全局的最优解。


这道题中，先把输入的数组按照两地的费用之差的绝对值进行升序排序，然后当去往A地和B地都还有名额的时候，就去花费比较小的目的地。


如果去A地的名额满了，那剩下的人肯定都得去B地，同理如果去B地的满了，剩下的人都得去A地。


3).基础解法：

知乎高赞！2道大厂高频笔试算法题！你会吗？

上图中的程序是基础的解法，可以看到首先将费用列表按照费用差进行升序排序，然后根据去往A地和B地的人数以及费用的大小来判断去往A地还是B地。程序总体是按照我们的思路来进行编写的，非常容易理解。


4).进阶版：

知乎高赞！2道大厂高频笔试算法题！你会吗？

进阶版的程序更加的巧妙，这是为什么呢，首先，程序不再按照绝对值进行升序排序了，而是按照去往A地和去往B地的费用差值来排序，排序之后由于去往A地和B地都是总人数的一半，所以排序后的前一半的人，去往A地是最便宜的，而后一半的人是去往B地最便宜的，基于这个思路，程序就很容易理解了。




02

反转二叉树


对于二叉树的考察，无论是在笔试还是面试中，都会是考察的重点问题，我们今天来理解一下高频的笔试面试题，反转二叉树。对于二叉树的反转，这里采用一个动态图进行更加直观的展示，来方便大家的理解。

知乎高赞！2道大厂高频笔试算法题！你会吗？

1).思路：

可以看到，反转二叉树就是从根节点开始，左右子树全部交换，左子树变为右子树，从上图我们也可以看出，这是一个典型的递归问题，也就是我们可以通过不断的递归迭代来交换一棵树的左右子节点，来达到整体的反转二叉树的目的。


2).递归版本：


知乎高赞！2道大厂高频笔试算法题！你会吗？

上述的程序中，可以看到，当节点是None时，说明达到了叶子节点了，此时返回None，否则的话，就不断的递归调用函数本身，来反转该节点下的左子树和右子树，从而达到反转二叉树的目的。

除了有递归迭代的版本之外，可以利用queue的特点来实现二叉树的反转，queue的特点是先进先出。


3).Queue版本：

知乎高赞！2道大厂高频笔试算法题！你会吗？

上述的程序中，首先我们判断root是否为空，为空的话则直接返回None即可。接下来就是利用queue，只要queue不为空，那么我们就pop掉queue中的最后一个元;

然后反转它的左右子节点，如果该子节点的左右子树不为空，就添加到myqueue中，继续循环，来反转其左右子树的子节点。以此来达到反转整个二叉树的目的;

可以看到，queue的版本中，并没有用到函数的递归迭代，而时用到了queue的先进先出的性质来进行了二叉树的反转。


总结
今天，带领大家学习了两个高频的笔试面试算法题，大家要仔细的将程序理解，并要学会如何巧妙的使用这些算法，来解决其他类似的算法题，只有勤加练习，才能成为高手，希望大家能在日常中，多多刷题，提高自己的能力。


知乎高赞！2道大厂高频笔试算法题！你会吗？


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data-darkmode-bgcolor-15882384789136="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882384789136="rgb(255, 255, 255)" data-darkmode-color-15882384789136="rgb(230, 230, 230)" data-darkmode-original-color-15882384789136="rgb(0, 0, 0)" data-darkmode-bgimage-15882384789136="1" data-darkmode-bgcolor-15882396318564="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882396318564="rgb(255, 255, 255)" data-darkmode-color-15882396318564="rgb(230, 230, 230)" data-darkmode-original-color-15882396318564="rgb(0, 0, 0)" data-darkmode-bgimage-15882396318564="1" data-darkmode-bgcolor-15900529136199="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15900529136199="rgb(255, 255, 255)" data-darkmode-color-15900529136199="rgb(230, 230, 230)" data-darkmode-original-color-15900529136199="rgb(0, 0, 0)" data-darkmode-bgimage-15900529136199="1" style="padding: 18px 15px 20px 10px;background-size: 100% 100%;background-image: url('https://www.zkxjob.com/wp-content/uploads/2022/06/wxsync-2022-06-a2a8a5e1e58f30392066a170034ee027.png');color: rgb(86, 146, 214);letter-spacing: 1.5px;background-repeat: no-repeat;"><section data-darkmode-bgcolor-15860613985508="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15860613985508="rgb(255, 255, 255)" data-darkmode-color-15860613985508="rgb(230, 230, 230)" data-darkmode-original-color-15860613985508="rgb(0, 0, 0)" data-darkmode-bgimage-15860613985508="1" data-darkmode-bgcolor-15870356070738="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15870356070738="rgb(255, 255, 255)" data-darkmode-color-15870356070738="rgb(230, 230, 230)" data-darkmode-original-color-15870356070738="rgb(0, 0, 0)" data-darkmode-bgimage-15870356070738="1" data-darkmode-bgcolor-15870356071023="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15870356071023="rgb(255, 255, 255)" data-darkmode-color-15870356071023="rgb(230, 230, 230)" data-darkmode-original-color-15870356071023="rgb(0, 0, 0)" data-darkmode-bgimage-15870356071023="1" data-darkmode-bgcolor-15882384789136="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882384789136="rgb(255, 255, 255)" data-darkmode-color-15882384789136="rgb(230, 230, 230)" data-darkmode-original-color-15882384789136="rgb(0, 0, 0)" data-darkmode-bgimage-15882384789136="1" data-darkmode-bgcolor-15882396318564="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882396318564="rgb(255, 255, 255)" data-darkmode-color-15882396318564="rgb(230, 230, 230)" data-darkmode-original-color-15882396318564="rgb(0, 0, 0)" data-darkmode-bgimage-15882396318564="1" data-darkmode-bgcolor-15900529136199="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15900529136199="rgb(255, 255, 255)" data-darkmode-color-15900529136199="rgb(230, 230, 230)" data-darkmode-original-color-15900529136199="rgb(0, 0, 0)" data-darkmode-bgimage-15900529136199="1" style="display: flex;justify-content: center;align-items: center;"><section data-darkmode-bgcolor-15860613985508="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15860613985508="rgb(255, 255, 255)" data-darkmode-color-15860613985508="rgb(230, 230, 230)" data-darkmode-original-color-15860613985508="rgb(0, 0, 0)" data-darkmode-bgimage-15860613985508="1" data-darkmode-bgcolor-15870356070738="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15870356070738="rgb(255, 255, 255)" data-darkmode-color-15870356070738="rgb(230, 230, 230)" data-darkmode-original-color-15870356070738="rgb(0, 0, 0)" data-darkmode-bgimage-15870356070738="1" data-darkmode-bgcolor-15870356071023="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15870356071023="rgb(255, 255, 255)" data-darkmode-color-15870356071023="rgb(230, 230, 230)" data-darkmode-original-color-15870356071023="rgb(0, 0, 0)" data-darkmode-bgimage-15870356071023="1" data-darkmode-bgcolor-15882384789136="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882384789136="rgb(255, 255, 255)" data-darkmode-color-15882384789136="rgb(230, 230, 230)" data-darkmode-original-color-15882384789136="rgb(0, 0, 0)" data-darkmode-bgimage-15882384789136="1" data-darkmode-bgcolor-15882396318564="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882396318564="rgb(255, 255, 255)" data-darkmode-color-15882396318564="rgb(230, 230, 230)" data-darkmode-original-color-15882396318564="rgb(0, 0, 0)" data-darkmode-bgimage-15882396318564="1" data-darkmode-bgcolor-15900529136199="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15900529136199="rgb(255, 255, 255)" data-darkmode-color-15900529136199="rgb(230, 230, 230)" data-darkmode-original-color-15900529136199="rgb(0, 0, 0)" data-darkmode-bgimage-15900529136199="1" style="margin-left: 2px;width: 20px;"></section><section data-brushtype="text" data-darkmode-bgcolor-15860613985508="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15860613985508="rgb(255, 255, 255)" data-darkmode-color-15860613985508="rgb(51, 51, 51)" data-darkmode-original-color-15860613985508="rgb(51, 51, 51)" data-darkmode-bgimage-15860613985508="1" data-darkmode-bgcolor-15870356070738="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15870356070738="rgb(255, 255, 255)" data-darkmode-color-15870356070738="rgb(51, 51, 51)" data-darkmode-original-color-15870356070738="rgb(51, 51, 51)" data-darkmode-bgimage-15870356070738="1" data-darkmode-bgcolor-15870356071023="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15870356071023="rgb(255, 255, 255)" data-darkmode-color-15870356071023="rgb(51, 51, 51)" data-darkmode-original-color-15870356071023="rgb(51, 51, 51)" data-darkmode-bgimage-15870356071023="1" data-darkmode-bgcolor-15882384789136="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882384789136="rgb(255, 255, 255)" data-darkmode-color-15882384789136="rgb(51, 51, 51)" data-darkmode-original-color-15882384789136="rgb(51, 51, 51)" data-darkmode-bgimage-15882384789136="1" data-darkmode-bgcolor-15882396318564="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15882396318564="rgb(255, 255, 255)" data-darkmode-color-15882396318564="rgb(51, 51, 51)" data-darkmode-original-color-15882396318564="rgb(51, 51, 51)" data-darkmode-bgimage-15882396318564="1" data-darkmode-bgcolor-15900529136199="rgb(36, 36, 36)" data-darkmode-original-bgcolor-15900529136199="rgb(255, 255, 255)" data-darkmode-color-15900529136199="rgb(51, 51, 51)" data-darkmode-original-color-15900529136199="rgb(51, 51, 51)" data-darkmode-bgimage-15900529136199="1" style="font-size: 14px;color: rgb(51, 51, 51);text-align: left;"><span style="font-family: 楷体, 楷体_GB2312, SimKai;">点这里，获取一大波福利</span></section></section></section></section></section></section></section>

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