• 面试算法十问2(中英文)


    算法题 1: 数组和字符串

    Q: How would you find the first non-repeating character in a string?
    问:你如何找到字符串中的第一个不重复字符?

    Explanation: Use a hash table to store the count of each character, then iterate through the string to find the first character with a count of one.
    解释: 使用哈希表存储每个字符的计数,然后遍历字符串找到计数为一的第一个字符。

    function findFirstNonRepeatingChar(string):
        charCount = {}
        for char in string:
            if char in charCount:
                charCount[char] += 1
            else:
                charCount[char] = 1
        
        for char in string:
            if charCount[char] == 1:
                return char
        return null
    
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    算法题 2: 链表

    Q: How do you reverse a singly linked list without using extra space?
    问:你如何在不使用额外空间的情况下反转一个单链表?

    Explanation: Iterate through the list and reverse the links between nodes.
    解释: 遍历列表并反转节点之间的链接。

    function reverseLinkedList(head):
        previous = null
        current = head
        while current is not null:
            nextTemp = current.next
            current.next = previous
            previous = current
            current = nextTemp
        return previous
    
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    算法题 3: 树和图

    Q: What is a depth-first search (DFS) and how would you implement it for a graph?
    问:什么是深度优先搜索(DFS)?你将如何为一个图实现它?

    Explanation: DFS is an algorithm for traversing or searching tree or graph data structures. It starts at the root and explores as far as possible along each branch before backtracking.
    解释: DFS是一种用于遍历或搜索树或图数据结构的算法。它从根开始,沿每个分支尽可能深入地探索,然后回溯。

    function DFS(node, visited):
        if node is in visited:
            return
        visited.add(node)
        for each neighbor in node.neighbors:
            DFS(neighbor, visited)
    
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    算法题 4: 排序和搜索

    Q: Describe how quicksort works and mention its time complexity.
    问:描述快速排序是如何工作的,并提及其时间复杂度。

    Explanation: Quicksort works by selecting a ‘pivot’ element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot. The sub-arrays are then sorted recursively.
    解释: 快速排序通过从数组中选择一个“基准”元素,并根据其他元素是小于还是大于基准,将它们划分为两个子数组。然后递归地排序这些子数组。

    function quicksort(array, low, high):
        if low < high:
            pivotIndex = partition(array, low, high)
            quicksort(array, low, pivotIndex - 1)
            quicksort(array, pivotIndex + 1, high)
    
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    Time Complexity: Average case is O(n log n), worst case is O(n^2).
    时间复杂度: 平均情况是O(n log n),最坏情况是O(n^2)。

    算法题 5: 动态规划

    Q: How would you solve the knapsack problem using dynamic programming?
    问:你将如何使用动态规划解决背包问题?

    Explanation: Create a 2D array to store the maximum value that can be obtained with the given weight. Fill the table using the previous computations.
    解释: 创建一个二维数组来存储给定重量可以获得的最大值。使用之前的计算结果填充表格。

    function knapsack(values, weights, capacity):
        n = length(values)
        dp = array of (n+1) x (capacity+1)
        
        for i from 0 to n:
            for w from 0 to capacity:
                if i == 0 or w == 0:
                    dp[i][w] = 0
                elif weights[i-1] <= w:
                    dp[i][w] = max(values[i-1] + dp[i-1][w-weights[i-1]], dp[i-1][w])
                else:
                    dp[i][w] = dp[i-1][w]
        return dp[n][capacity]
    
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    算法题 6: 数学和统计

    Q: How do you compute the square root of a number without using the sqrt function?
    问:如何在不使用 sqrt 函数的情况下计算一个数的平方根?

    Explanation: Use a numerical method like Newton’s method to approximate the square root.
    解释: 使用牛顿法等数值方法来近似计算平方根。

    function sqrt(number):
        if number == 0 or number == 1:
            return number
        threshold = 0.00001  # Precision threshold
        x = number
        y = (x + number / x) / 2
        while abs(x - y) > threshold:
            x = y
            y = (x + number / x) / 2
        return y
    
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    算法题 7: 并发编程

    Q: Explain how you would implement a thread-safe singleton pattern in Java.
    问:解释你将如何在Java中实现一个线程安全的单例模式。

    Explanation: Use the initialization-on-demand holder idiom, which is thread-safe without requiring special language constructs.
    解释: 使用初始化需求持有者惯用法,它在不需要特殊语言构造的情况下是线程安全的。

    public class Singleton {
        private Singleton() {}
    
        private static class LazyHolder {
            static final Singleton INSTANCE = new Singleton();
        }
    
        public static Singleton getInstance() {
            return LazyHolder.INSTANCE;
        }
    }
    
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    算法题 8: 设计问题

    Q: How would you design a system that scales horizontally?
    问:你会如何设计一个可以水平扩展的系统?

    Explanation: Design the system to work with multiple instances behind a load balancer, use stateless services, and distribute the data across a database cluster.
    解释: 设计系统使其能够在负载均衡器后面使用多个实例,使用无状态服务,并在数据库集群中分布数据。

    // No specific code, but architectural principles:
    - Use load balancers to distribute traffic.
    - Implement microservices for scalability.
    - Use a distributed database system.
    - Employ caching and message queues to handle load.
    
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    算法题 9: 实用工具

    Q: Write a function to check if a string is a palindrome.
    问:编写一个函数检查字符串是否是回文。

    Explanation: Compare characters from the beginning and the end of the string moving towards the center.
    解释: 比较从字符串开始和结束向中心移动的字符。

    function isPalindrome(string):
        left = 0
        right = length(string) - 1
        while left < right:
            if string[left] != string[right]:
                return false
            left += 1
            right -= 1
        return true
    
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    算法题 10: 编码实践

    Q: How would you find all permutations of a string?
    问:你如何找出一个字符串的所有排列?

    Explanation: Use backtracking to swap characters and generate all permutations.
    解释: 使用回溯法交换字符并生成所有排列。

    function permute(string, l, r):
        if l == r:
            print string
        else:
            for i from l to r:
                swap(string[l], string[i])
                permute(string, l+1, r)
                swap(string[l], string[i])  // backtrack
    
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  • 原文地址:https://blog.csdn.net/m0_37609579/article/details/138167624