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Leetcode #843: Guess the Word

In this guide, we solve Leetcode #843 Guess the Word in Python and focus on the core idea that makes the solution efficient.

You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.

Leetcode

Problem Statement

You are given an array of unique strings words where words[i] is six letters long. One word of words was chosen as a secret word.

Quick Facts

  • Difficulty: Hard
  • Premium: No
  • Tags: Array, Math, String, Game Theory, Interactive

Intuition

There is a mathematical invariant or formula that directly leads to the result.

Using math avoids unnecessary loops and reduces complexity.

Approach

Derive the formula or update rule, then compute the answer directly.

Handle edge cases like overflow or zero carefully.

Steps:

  • Identify the math relationship.
  • Compute the result with a loop or formula.
  • Handle edge cases.

Example

Input: secret = "acckzz", words = ["acckzz","ccbazz","eiowzz","abcczz"], allowedGuesses = 10 Output: You guessed the secret word correctly. Explanation: master.guess("aaaaaa") returns -1, because "aaaaaa" is not in words. master.guess("acckzz") returns 6, because "acckzz" is secret and has all 6 matches. master.guess("ccbazz") returns 3, because "ccbazz" has 3 matches. master.guess("eiowzz") returns 2, because "eiowzz" has 2 matches. master.guess("abcczz") returns 4, because "abcczz" has 4 matches. We made 5 calls to master.guess, and one of them was the secret, so we pass the test case.

Python Solution

Complexity

The time complexity is O(n) or O(1). The space complexity is O(1).

Edge Cases and Pitfalls

Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.

Summary

This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.


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