LeetCode Problem Workspace
Guess the Word
Master the Guess the Word problem by applying array manipulation, match-counting math, and strategic interactive guessing techniques efficiently.
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Practice Focus
Hard · Array plus Math
Answer-first summary
Master the Guess the Word problem by applying array manipulation, match-counting math, and strategic interactive guessing techniques efficiently.
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To solve Guess the Word efficiently, start by understanding the array of words and the math behind matching letters. Use Master.guess strategically to eliminate impossible candidates and narrow down the secret word. This approach combines Array filtering, Math for match counts, and String comparison logic for a controlled interactive search.
Problem Statement
You are given an array of unique six-letter strings called words. One word from this array is selected as the secret word, and your goal is to identify it using limited guesses.
You can call Master.guess(word) with a word from the array, which returns the number of letters matching the secret word in the correct position. Each test case has allowedGuesses specifying the maximum number of guesses you can make to discover the secret.
Examples
Example 1
Input: secret = "acckzz", words = ["acckzz","ccbazz","eiowzz","abcczz"], allowedGuesses = 10
Output: You guessed the secret word correctly.
master.guess("aaaaaa") returns -1, because "aaaaaa" is not in wordlist. 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.
Example 2
Input: secret = "hamada", words = ["hamada","khaled"], allowedGuesses = 10
Output: You guessed the secret word correctly.
Since there are two words, you can guess both.
Constraints
- 1 <= words.length <= 100
- words[i].length == 6
- words[i] consist of lowercase English letters.
- All the strings of wordlist are unique.
- secret exists in words.
- 10 <= allowedGuesses <= 30
Solution Approach
Use match-count elimination
Call Master.guess on a candidate word, then remove all words from the array that cannot produce the same number of matches. This array-based pruning quickly narrows down the possibilities.
Select optimal guesses with math heuristics
Compute expected match counts for each word against the remaining array and choose the word that minimizes the worst-case remaining candidates. This math-driven strategy prevents wasted guesses.
Iterate until secret is found
Repeat guessing, evaluating match counts, and filtering the word array. Stop when Master.guess returns full matches equal to six letters, ensuring the secret word is identified within allowed guesses.
Complexity Analysis
| Metric | Value |
|---|---|
| Time | Depends on the final approach |
| Space | Depends on the final approach |
Time and space complexity vary depending on the pruning strategy. Worst-case time is O(N^2) for match comparisons, and space is O(N) to store remaining candidates.
What Interviewers Usually Probe
- Expect you to explain the elimination strategy and why filtering the array reduces guess count.
- Demonstrate understanding of match-count math to optimize the next guess choice.
- Clarify handling of edge cases where multiple words produce similar matches.
Common Pitfalls or Variants
Common pitfalls
- Guessing words randomly without using match-count filtering can exceed allowed guesses.
- Failing to account for all remaining candidates when computing the optimal guess may lead to unnecessary calls.
- Ignoring that each guess must be in the provided words array can cause invalid submissions.
Follow-up variants
- Increasing word length to seven or more letters to test scalable array plus math filtering.
- Reducing allowedGuesses to force more strategic elimination choices instead of trial-and-error.
- Changing the word array to include partial duplicates in letter patterns to test heuristic selection.
FAQ
What is the most efficient strategy for Guess the Word?
Use array pruning based on match counts and select guesses that minimize the worst-case remaining candidates using match-count math.
Can I guess words not in the array?
No, every guess must be a word from the provided words array; otherwise Master.guess returns invalid results.
How does match-count math improve guessing?
By computing potential matches across the remaining words, you can pick guesses that eliminate the largest number of candidates each turn.
What happens if I exceed allowedGuesses?
Exceeding allowedGuesses results in failure, so strategic selection using array filtering and match-count analysis is critical.
Is Guess the Word more Array or Math focused?
It combines both: arrays store candidates and are filtered, while math determines which guess yields maximum elimination efficiency.
Solution
Solution 1
#### Python3
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