Homework 1 Competencies: Problem Analysis, Writing an algorithm Notions: Structure, Function H 1.1 : Mastermind Game Mastermind is a code-breaking game for two players. The modern... Homework 1 Competencies: Problem Analysis, Writing an algorithm Notions: Structure, Function H 1.1 : Mastermind Game Mastermind is a code-breaking game for two players. The modern game with pegs was invented in 1970 by Mordecai Meirowitz. The game: 1. Generate a four integer code with digits from 1 to 6. For that you may ask one player/codemaker to choose a code or you may ask the computer to generate a random code using the built-in random function integer ← random(integer a,integer b) that generates a random integer between a and b. 2. The other player/codebreaker tries to guess the pattern, in both, order and color, within twelve turns. Each turn, the computer/codemaker provides feedback by telling how many digits are correct (in both digit and position), and how many digits are correct but at a wrong position. 3. The game ends when 12 tries have been done or when the code is found. Display whether the player has won or lost. Perform a top-down analysis. Q1 : Determine how many combinations are there? Q2 : Give the data structure to be used by your algorithm. Q3 : Write the main algorithm that calls secondary functions that you need to determine. For each secondary function used, give it specification/prototype as well as a one-line comment to explain its goal. Q4 : (bonus) Define/Implement all the secondary functions used.
Understand the Problem
The question is asking for a breakdown of the Mastermind game implementation from problem analysis to algorithm design. It specifically requires determining the number of combinations for the code, selecting suitable data structures, writing a main algorithm with secondary functions, and optionally defining those functions.
Answer
1. 1,296. 2. Use an array or list to store the code and guesses. 3. main_algorithm() { generate_code(); for each guess { provide_feedback(); } check_win_condition(); } 4. Secondary functions: generate_code(), provide_feedback(), check_win_condition().
- 1,296. 2. Use an array or list to store the code and guesses. 3. main_algorithm() { generate_code(); for each guess { provide_feedback(); } check_win_condition(); } 4. Secondary functions: generate_code(), provide_feedback(), check_win_condition().
Answer for screen readers
- 1,296. 2. Use an array or list to store the code and guesses. 3. main_algorithm() { generate_code(); for each guess { provide_feedback(); } check_win_condition(); } 4. Secondary functions: generate_code(), provide_feedback(), check_win_condition().
More Information
In the Mastermind game, there are 1,296 possible combinations as the code consists of four integers, each ranging from 1 to 6 (6^4). An array or list data structure is suitable to store the code and player's guesses, due to its capability to hold ordered elements. The main algorithm includes functions to generate the code, provide feedback on guesses, and check for win conditions. The feedback mechanism involves calculating the number of correctly guessed digits and positions, significantly impacting strategy and game difficulty.
Tips
A common mistake is miscalculating the total number of combinations by forgetting that each digit can repeat. Also, ensure that secondary functions are correctly defined to streamline the main algorithm.
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