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Google 面试经历:前缀匹配问题的讨论与解决 – Google Interview Experience: Prefix Matching Problem – 谷歌面试真题 – VO support

面试背景

这是一次经过csoahelp辅助的,候选人与 Google 面试官的技术面试,主要考察的是候选人如何处理和优化与字符串相关的问题。在面试过程中,面试官设置了一个涉及前缀匹配的场景,要求候选人能够高效地处理和查询大量字符串数据。整个过程涉及与面试官的频繁沟通以及候选人对问题的深入理解和方案设计。

Interview Background

This was a technical interview at Google, focused on evaluating how candidates handle and optimize string-related problems. The interviewer introduced a scenario where the candidate had to efficiently process and query a large list of strings. The objective was to come up with a solution that could handle multiple prefix searches efficiently after preprocessing the input data.

面试场景还原

面试官引入题目

面试开始时,面试官简要介绍了问题的背景:“假设你正在处理一个大型的字符串列表,比如你有很多单词。你的任务是找到以特定前缀开头的所有单词。”

面试官进一步解释说:“这些字符串列表可能会非常大,所以我们希望通过某种方式预处理这些数据,然后能够快速地查询出所有匹配某个前缀的单词。你将会在处理这些字符串时面临多个查询,因此设计一个高效的解决方案至关重要。”

Interview Scenario Recap

Interviewer Introduces the Problem

At the beginning of the interview, the interviewer explained the problem: “Suppose you are working with a large list of words, for instance, a list of millions of strings. Your task is to find all the words that start with a given prefix.”

The interviewer elaborated, “The list of words might be very large, so it would be efficient to preprocess the data in such a way that you can quickly retrieve all the words that match a given prefix. The catch here is that you will be performing multiple queries, so your solution needs to be optimized for that.”

题目原文 (English)

Problem:
Given a list of strings, e.g., ["apple", "banana", "ant"], and a given prefix as input, find all the words starting with the given prefix from the list.

  • Example:
    • Input: prefix = "a"
      • Output: ["apple", "ant"]
    • Input: prefix = "ap"
      • Output: ["apple"]
  • Functions:
    • process(words: str[]): This function processes a list of words and prepares it for prefix matching queries.
    • query(prefix: str) -> str[]: This function returns all words that match the given prefix.

You will call the process function once to preprocess the list, and query will be called multiple times to search for words with different prefixes.

候选人澄清问题

在听到题目后,候选人首先进行了问题澄清。
候选人问道:“给定的输入是一个字符串列表对吗?同时,输出也是一个列表,包含所有以该前缀开头的单词?”

面试官确认了这个问题,表示“是的,输入是一个单词列表,输出是一个包含所有匹配前缀的单词列表。”

候选人接着进一步确认:“我们需要对列表进行某种预处理,以便在查询时快速找到匹配项。那么这些查询是多次进行的,对吗?”

面试官点头:“没错,你的预处理阶段只会执行一次,而查询函数则会被多次调用。你需要确保每次查询都尽可能高效。”

Candidate Clarifies the Problem

After hearing the problem, the candidate started by asking some clarifying questions.
The candidate asked: “Just to confirm, the input is a list of words, correct? And the output should be a list of all words that match a given prefix?”

The interviewer confirmed this and said, “Yes, exactly. The input is a list of words, and the output should be all the words that match the prefix.”

The candidate continued, “And we are expected to preprocess the list so that the prefix search can be performed efficiently, right? Also, will there be multiple prefix queries?”

The interviewer responded, “Yes, preprocessing the list is required, and multiple queries will be made, so efficiency in both the preprocessing and querying stages is important.”


解决方案思路讨论

候选人开始思考并提出了初步的方案:“既然查询是针对前缀的,我觉得可以使用某种数据结构,比如可以构建一个适合前缀查询的树结构,这样查询速度会更快。”

“你能详细说说你的思路吗?”面试官鼓励道。

“我在想是否可以用一个树状结构来存储每个单词的字符,每一层代表单词的一个字符。这样,当我们查询一个前缀时,只需要从树的根节点出发,逐层遍历匹配的字符,直到找到所有符合条件的单词。”

面试官表示认同,并进一步询问:“这种树状结构能处理多次查询吗?比如当有上百万个单词时,这种结构还能高效处理吗?”

候选人思考片刻后回答:“我认为可以。为了提升性能,我可以对输入的字符串进行排序,这样可以保证相同前缀的单词聚集在一起,这样我们只需遍历很少的节点就能找到匹配的单词。同时,通过在预处理阶段构建这棵树,我们可以大大减少查询时的时间复杂度。”

Solution Design Discussion

The candidate then began brainstorming the solution: “Since we are performing prefix searches, it might make sense to use a tree-like data structure to store the characters of the words. This way, we can traverse the tree to find the words that match a given prefix.”

The interviewer encouraged the candidate to elaborate: “Can you explain that a bit more? How would this tree-like structure help with the prefix search?”

The candidate responded, “I’m thinking of building a Trie (prefix tree), where each node represents a character in the word. This way, when we want to query for a prefix, we start at the root node and traverse down the tree by following the characters of the prefix. Once we reach the last character of the prefix, we can collect all the words stored under that node.”

The interviewer nodded in agreement and asked, “That makes sense for small lists. But what if the list contains millions of words? Would this structure still be efficient for large-scale data?”

After a brief pause to think, the candidate answered: “For larger datasets, I believe sorting the list of words could also help. By sorting the words, we ensure that words with the same prefix are clustered together, which could reduce the time required to traverse the Trie. Additionally, in the preprocessing stage, I would build the Trie as I go, so that future queries can be performed more efficiently.”


对方案的优化探讨

在候选人描述了解决方案后,面试官提出了一个挑战:“如果这些字符串列表非常大,单台机器可能无法处理这些数据。你会如何应对这种情况?”

候选人沉思片刻,然后提出了一个并行化处理的方案:“如果数据量非常大,我们可以将字符串列表分片,分配到多台机器上进行处理。每台机器负责处理一部分单词,并各自构建自己的前缀树。最终的查询可以分别发送到这些机器上,然后将结果合并。这种方式可以显著提升处理速度。”

面试官点头表示赞赏:“这个想法很有意思。你还考虑到了扩展性和实际应用场景。我们可以继续讨论一下具体如何优化查询性能。”

候选人接着补充道:“如果我们提前知道前缀的范围,可以进一步优化查询,只查询有可能匹配的子树,而不需要遍历整个树。”

Discussion on Optimizing the Solution

After presenting the initial solution, the interviewer challenged the candidate with an additional question: “Let’s say the list of words is too large for a single machine to handle. How would you approach this problem in a distributed environment?”

The candidate reflected for a moment and proposed a parallelization strategy: “In that case, I could split the word list across multiple machines. Each machine would be responsible for processing a portion of the list and building its own prefix tree. During the query stage, we could query the machines in parallel and then merge the results.”

The interviewer seemed intrigued and asked, “How would that impact performance? Can the Trie structure still be useful in a distributed system?”

The candidate replied, “Yes, I believe so. Each machine would handle a smaller portion of the data, so the Trie would still be an efficient structure to use within each machine. When querying, we could distribute the query across machines, and each machine could quickly return the matching results from its portion of the data.”


面试官的反馈与后续讨论

面试官对候选人的解法表示了肯定,特别是候选人对树结构的灵活应用和对扩展性的考虑。虽然并未涉及具体代码,但候选人的思路清晰且合理,特别是将问题分解为多个步骤的方式展示了较强的逻辑思维。

面试官还特别指出:“你在回答中不仅展示了对基础数据结构的理解,还能够很好地应对现实中的大规模数据问题,这对于我们团队来说是非常重要的。”

在最后的几分钟里,候选人与面试官讨论了有关团队合作、项目分工等话题。面试官询问了候选人是否有相关的项目经验,并分享了团队的工作流程。候选人也提到了自己在之前项目中处理大数据量和优化查询性能的相关经验,并表现出了对这一职位的浓厚兴趣。

Feedback and Follow-up Discussion

The interviewer expressed satisfaction with the candidate’s approach, particularly the use of the Trie structure and the awareness of scalability. The candidate demonstrated not only a strong understanding of data structures but also the ability to think about real-world problems where data sizes can be very large.

The interviewer then asked, “What if you have limited memory on each machine, but still need to handle a large dataset? How would you optimize memory usage in such a scenario?”

The candidate proposed another refinement: “If memory is a concern, we could store only the necessary parts of the strings in the Trie, such as the prefix portion. By reducing the size of the data stored at each node, we could reduce memory overhead. Additionally, we could further compress the Trie by combining nodes that have only one child, which would reduce the overall size of the tree.”

Finally, the interviewer asked the candidate a few follow-up questions about their past experiences in handling large-scale data and optimizing performance in distributed systems. The candidate discussed some relevant projects where they had worked on optimizing query performance and managing data across distributed systems.


总结

在这次面试中,候选人展示了扎实的算法基础和灵活运用数据结构解决实际问题的能力。通过合理的设计方案,候选人不仅满足了面试官的基本要求,还在讨论过程中提出了多个优化思路,表现出对大规模数据处理的深入理解。面试官对候选人提出的方案和扩展性表示了赞赏,这为面试的顺利进行奠定了良好的基础。

此次面试的成功经验可以总结为以下几点:

  1. 澄清问题,确保理解无误:候选人在面试开始时进行了充分的澄清,确保自己理解的题目与面试官的期望一致。
  2. 使用合适的数据结构:候选人选择了合适的树结构来解决前缀匹配问题,既满足了查询效率的要求,又考虑到了可扩展性。
  3. 展示扩展性思考:候选人提出的并行化处理和进一步优化查询性能的思路展示了他对大规模数据处理的理解和敏锐度。

这种思路清晰、逻辑严密的解题方式,是通过面试的重要因素。

Conclusion

The interview concluded on a positive note, with the candidate demonstrating a solid grasp of algorithms and data structures, as well as the ability to think about performance and scalability. Some of the key takeaways from this interview include:

  1. Clear problem clarification: The candidate took time to fully understand the problem and confirm the requirements with the interviewer before jumping into the solution.
  2. Effective use of data structures: By choosing the Trie structure, the candidate efficiently addressed the prefix matching problem while also considering future scalability.
  3. Awareness of real-world challenges: The candidate proposed strategies for handling large-scale data and distributed systems, showcasing an understanding of how to work with real-world constraints.
  4. Optimization focus: Throughout the discussion, the candidate was keen on optimizing both the memory usage and query performance, which is crucial when working with large datasets in a production environment.

This problem-solving approach, combined with attention to detail and the ability to think beyond the immediate problem, helped the candidate leave a strong impression.

如果您需要面试辅助面试代面服务,帮助您进入梦想中的大厂,请随时联系我

In this Google interview, I demonstrated my understanding of common algorithmic problems and my problem-solving abilities. Each problem presented different challenges, but all could be solved through logical algorithm strategies.

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