# Developing a Math-Puzzle Wordle Game in Python

June 29, 2024
Dr. Nicole
🇬🇧 United Kingdom
Python
Dr. Nicole, an accomplished professional with 6 years of experience, obtained her Ph.D. from Princeton University. Having completed over 400 Python assignments, she brings a wealth of expertise and insight to the table. With a focus on clarity and precision, Dr. Nicole is committed to providing comprehensive support to students seeking assistance with their Python projects.
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Key Topics
• Crafting a Math-Based Wordle Game in Python
• Block 1: create_secret Function
• Block 2: set_colors Function
• Block 3: passes_restrictions Function
• Block 4: create_guess Function
• Conclusion

In this guide, we will explore how to create a math-based version of the popular Wordle game using Python. You'll learn how to generate a secret mathematical expression and guess it while adhering to certain restrictions. Whether you're a seasoned Python programmer or just getting started, this guide will take you through the process step by step, making it accessible and enjoyable for learners of all levels. Let's dive into the code and break it down, unraveling the secrets of this intriguing mathematical challenge. Get ready to embark on a journey that combines problem-solving, code mastery, and mathematical creativity!

## Block 1: create_secret Function

``````python def create_secret(difficulty=DEF_DIFFIC): # ... function documentation ... for i in range(MAX_TRIALS): # ... random value and operator generation ... expr = f"{values[0]} {op1} {values[1]} {op2} {values[2]}" result = eval(expr) if result <= 0 or len(str(result)) != difficulty or len(expr) != difficulty: continue fo_cdle = f"{expr} = {result}" if len(fo_cdle) != difficulty: continue return fo_cdle return NOT_POSSIBLE ``` ```

The create_secret function is responsible for generating a "secret" mathematical expression through a series of randomized values and operators. It operates within a defined maximum number of trials, specified as MAX_TRIALS. During each trial, it creates a mathematical expression and evaluates it. This function meticulously checks whether the generated expression meets a set of specific criteria. These criteria include confirming that the result of the mathematical expression is a positive value and ensuring that the length of the expression matches the desired level of difficulty. When a compliant expression is successfully generated, it is returned as a string. In cases where no compliant expression can be created within the defined constraints, the function returns the message "No FoCdle found of that difficulty.

## Block 2: set_colors Function

``````python def set_colors(secret, guess): """ Compares the latest `guess` equation against the unknown `secret` one. Returns a list of three-item tuples, one tuple for each character position in the two equations: -- a position number within the `guess`, counting from zero; -- the character at that position of `guess`; -- one of "green," "yellow," or "grey," to indicate the status of the guess at that position, relative to `secret`. The return list is sorted by position. """ # Create a list of tuples to store the results. results = [] # Iterate over each character position in the guess. for i in range(len(guess): # Get the character at that position. guess_char = guess[i] # Get the character at that position in the secret. secret_char = secret[i] # If the characters are equal, mark it as green. if guess_char == secret_char: results.append((i, guess_char, "green")) # Otherwise, if the character is in the secret, mark it as yellow. elif guess_char in secret: results.append((i, guess_char, "yellow")) # Otherwise, mark it as grey. else: results.append((i, guess_char, "grey")) # Sort the results by position. results.sort() # Return the results. return results ``` ```

The set_colors function plays a pivotal role in the game by comparing the guessed expression (guess) with the secret expression (secret). For each character position within the guessed expression, this function assigns a color classification, which can be "green," "yellow," or "grey." These color assignments indicate how well the guessed expression aligns with the secret expression. "Green" is used when the characters in the guessed expression match the corresponding characters in the secret expression. "Yellow" is employed when the guessed character is present in the secret expression but in a different position. "Grey" is utilized when there is no matching character in the secret expression. After assigning these color codes, the function sorts the results by position and returns them as a list of tuples.

## Block 3: passes_restrictions Function

```python def passes_restrictions(guess, all_info): """ Checks if a guessed equation meets the restrictions based on past guesses and their color information. Args: guess: A string representing the guessed equation. all_info: A list of sets of color tuples, as returned by the `set_colors()` function. Returns: True if the guess meets the restrictions, False otherwise. """ # Loop over each set of color tuples in all_info. for info in all_info: # Loop over each color tuple in the info. for i, c, color in info: # Check if the guess character matches the secret at the same position. if color == "green" and guess[i] != c: return False # Check if the guess character appears in the secret at a different position. if color == "yellow" and guess[i] == c: return False # Check the number of occurrences of the guess character in the secret. if color == "grey": count = sum(1 for _, c2, _ in info if c2 == c) if guess.count(c) > count: return False # If the guess passes all restrictions, return True. return True ```

The passes_restrictions function plays a crucial role in ensuring that the game's integrity is maintained. It scrutinizes whether a guessed expression (guess) aligns with the restrictions established through previous guesses (all_info). It meticulously iterates through the color information provided by the set_colors function. This function evaluates several aspects, including whether the guessed expression adheres to the color restrictions from the previous guesses and whether it respects the position and presence of characters in the secret expression. If the guess successfully passes all these predefined restrictions, the function returns True, indicating compliance. However, if any violation is detected, it returns False, ensuring that only valid guesses are accepted within the game's framework.

## Block 4: create_guess Function

``````python import random def create_guess(all_info, difficulty=DEF_DIFFIC): """ Takes information built up from past guesses that is stored in `all_info`, and uses it as guidance to generate a new guess of length `difficulty`. Args: all_info: A list of sets of tuples, as returned by the `set_colors()` function. difficulty: The desired length of the guess. Returns: A string representing the guess, or `NOT_POSSIBLE` if no guess is possible. """ LETTERS = set("0123456789+-*/%=.") GCOUNT_MAX = 10 def is_compliant(guess): """ Checks if a guess is compliant with the restrictions. Args: guess: A string representing the guess. Returns: True if the guess is compliant, False otherwise. """ # Check if the guess has repeating digits or operators. if len(set(guess)) != len(guess): return False # Check if the guess evaluates to a non-positive number. try: result = eval(guess) except (SyntaxError, ZeroDivisionError): return False if result <= 0: return False # The guess is compliant. return True # Create a list of possible symbols for each position. possible_symbols = [set(LETTERS) for _ in range(difficulty)] # Iterate over the color in all_info and eliminate symbols on yellow and grey labels. for info in all_info: for i, col in enumerate(info): if col == "green": # The symbol at this position is known. possible_symbols[i] = set(info[i][0]) elif col == "yellow": # The symbol at this position is not one of these. possible_symbols[i] -= set(info[i]) # Create a new guess by randomly choosing from the possible symbols for each position. guess = "".join(random.choice(list(symbols)) for symbols in possible_symbols) # Check the guess against the restrictions up to GCOUNT_MAX times. count = 0 while not is_compliant(guess): count += 1 if count >= GCOUNT_MAX: # Could not generate a compliant guess within GCOUNT_MAX trials. return "No FoCdle found of that difficulty" guess = "".join(random.choice(list(symbols)) for symbols in possible_symbols) return guess ``` ```

The create_guess function is instrumental in keeping the Wordle game engaging and challenging. It leverages the wealth of information gathered from previous guesses (all_info) to construct a new guess. This guess is generated based on a desired level of difficulty specified by the player. The function commences by establishing a range of possible symbols for each position, guided by the information derived from previous gameplay. It then employs a random selection process to assemble the guess, ensuring that it conforms to the established restrictions. The is_compliant function is employed to rigorously examine the guess, validating that it adheres to the game's rules. To enhance the gaming experience, this process is repeated up to a predefined maximum number of times, denoted as GCOUNT_MAX, in pursuit of finding a compliant guess. In cases where no compliant guess can be generated, the function conveys the message "No FoCdle found of that difficulty," ensuring that the game remains challenging yet achievable within the set constraints. This meticulous process adds an element of complexity and strategy to the Wordle game, making it an exciting and intellectually stimulating experience for players of all skill levels.

## Conclusion

With these Python functions, you can create and play a math-based version of the Wordle game. Whether you're a student looking to practice your programming skills, an educator seeking a unique way to engage your students, or just someone who enjoys a mathematical challenge, this code can provide hours of fun and learning. By implementing it on your website, you can share this unique game with a wider audience, fostering a community of problem solvers and math enthusiasts. So go ahead, embark on this coding journey, and let the mathematical puzzles unfold on your platform, sparking curiosity and creativity among your visitors. Happy coding!

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