上岸算法 发表于 2021-3-31 07:15:25

上岸算法 I Facebook /uber/ Google 3月面经题面试真题汇总

本帖最后由 上岸算法 于 2021-3-31 07:17 编辑

Facebook OA 3月面经题题目描述:Merge Sorted Array
Given two sorted integer arrays nums1 and nums2, merge nums2 into nums1 as one sorted array.The number of elements initialized in nums1 and nums2 are m and n respectively. You may assume that nums1 has a size equal to m + n such that it has enough space to hold additional elements from nums2.

Example 1 :Input: nums1 = , m = 3, nums2 = , n = 3Output:
Example 2 :Input: nums1 = , m = 1, nums2 = [], n = 0Output: 题解:
这题比较简单,采用分治的思想,归并排序,具体看代码参考代码 public void merge(int[] nums1, int m, int[] nums2, int n) {
      int temp[] = new int;
      int index = 0;
      int i = 0;
      int j = 0;
      while (i < m && j < n) {
            if (nums1 <= nums2)
                temp = nums1;
            else
                temp = nums2;
      }
      for (; i < m; ) {
            temp = nums1;
      }
      for (; j < n; ) {
            temp = nums2;
      }
      //再把数组temp中的值赋给nums1
      for (int k = 0; k < m + n; k++) {
            nums1 = temp;
      }
    }Uber OA 3 月面经题题目描述:Reverse Words in a String
Given an input string s, reverse the order of the words.A word is defined as a sequence of non-space characters. The words in s will be separated by at least one space.Return a string of the words in reverse order concatenated by a single space.Note that s may contain leading or trailing spaces or multiple spaces between two words. The returned string should only have a single space separating the words. Do not include any extra spaces.
Example 1 :
Input: s = "the sky is blue"Output: "blue is sky the"Example 2 :
Input: s = "hello world"Output: "world hello"Explanation: Your reversed string should not contain leading or trailing spaces.题解:
从字符串末尾往前开始遍历,每读到一个单词就添加到结果字符串中,再插入一个空格字符,最后得到的字符串就是翻转单词的字符串参考代码class Solution {
    public static String reverseWords(String s) {
      if(s == null || s.length() < 2){
            return s;
      }
      StringBuilder builder = new StringBuilder();
      char[] charArr = s.toCharArray();
      //从末尾开始遍历
      for(int i = charArr.length - 1; i >= 0; i--){
            if(charArr != ' '){
                int left = i - 1;
                //读取一个单词,直到读取到空格位置
                while(left >= 0 && charArr != ' '){
                  left--;
                }
                //将单词正序存取输出结果中
                for(int j = left + 1; j <= i; j++){
                  builder.append(charArr);
                }
                builder.append(' ');
                i = left;
            }
      }
      return builder.toString().trim();
    }
}
Google OA 3 月面经题题目描述:Random Pick with Weight
You are given an array of positive integers w where w describes the weight of ith index (0-indexed).We need to call the function pickIndex() which randomly returns an integer in the range . pickIndex() should return the integer proportional to its weight in the w array. For example, for w = , the probability of picking the index 0 is 1 / (1 + 3) = 0.25 (i.e 25%) while the probability of picking the index 1 is 3 / (1 + 3) = 0.75 (i.e 75%).More formally, the probability of picking index i is w / sum(w).

Example 1:Input["Solution","pickIndex"][[],[]]Output
ExplanationSolution solution = new Solution();solution.pickIndex(); // return 0. Since there is only one single element on the array the only option is to return the first element.
题解:
这题采用前缀和和二分查找来解决。

参考代码class Solution {
    int[] sum;

    public Solution(int[] w) {
      sum = new int;
      for (int i = 1;i <= w.length; i++){
            sum = sum + w;
      }
    }

    public int pickIndex() {
      int n = sum.length;
      int x = new Random().nextInt(sum) + 1;
      int l = 0, r = n;
      while (l < r){
            int mid = l + r >> 1;
            if (sum >= x) r = mid;
            else l = mid + 1;
      }
      return l - 1;
    }
}Facebook OA 3月面经题题目描述:Balance a Binary Search Tree
Given a binary search tree, return a balanced binary search tree with the same node values.A binary search tree is balanced if and only if the depth of the two subtrees of every node never differ by more than 1.If there is more than one answer, return any of 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Input: root =
Output: Explanation: This is not the only correct answer, is also correct.
题解:首先,二叉搜索树中序遍历的结果是升序序列,所以通过中序遍历获得二叉搜索树的升序序列,然后利用二分法重新构建二叉搜索树,这里要注意以下几点:
[*]设置递归结束的条件:start > end;
[*]每次递归都以中间值为根节点,中间值的左边数为左子树,中间值的右边数为右子树。
参考代码class Solution {
      //用于存放原始二叉搜索树的所有节点
    List<TreeNode> list = new ArrayList<>();
    public TreeNode balanceBST(TreeNode root) {
      //中序遍历,获取原始二叉搜索树的升序节点序列
      dfs(root);
      if(list.isEmpty()){
            return null;
      }
      //重构二叉搜索树,使之变平衡
      return build(0, list.size()-1);
    }

    private TreeNode build(int start, int end) {
      //递归终止条件
      if(start > end){
            return null;
      }
      //获取中间节点,构建根节点
      int mid = (start + end)/2;
      TreeNode node = list.get(mid);
      //构建左子树
      node.left = build(start, mid - 1);
      //构建右子树
      node.right = build(mid +1, end);
      return node;
    }

    private void dfs(TreeNode root) {
      if(root == null){
            return;
      }
      dfs(root.left);
      list.add(root);
      dfs(root.right);
    }
}04/05 小K老师 :简历项目深挖+BQ模拟面试04/07 米线儿老师: 大数据在企业的应用以及工具 04/17 莎莎老师: 出道即巅峰:转专业上岸亚麻Applied Scientist史04/19 小春老师 :推荐系统讲座04/26 小雨老师: SQL 带刷04/28 Ginger老师: 疫情下我是如何拿到Facebook DS Offer的

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