Step by Step solution about How to resolve the algorithm Guess the number/With feedback (player) step by step in the Mathematica / Wolfram Language programming language

Explanation:

The provided Wolfram code defines a function guessnumber that plays a guessing game where the user thinks of a number within a specified range and the program tries to guess it.

Function Definition:

• guessnumber[min0_, max0_] is a function that takes two parameters:
  • min0: The minimum value of the range in which the user's number can be.
  • max0: The maximum value of the range in which the user's number can be.

Body of the Function:

The body of the function is enclosed within a DynamicModule with three internal variables:

• min: The current minimum value of the range.
• max: The current maximum value of the range.
• guess: The current guess made by the program.
• correct: A flag that indicates whether the program has correctly guessed the number.

Guess Logic:

The program's guess is calculated dynamically as guess[] := Round@Mean@{min, max}. This means that the guess is initially the average of the current range and is updated whenever the range changes.

User Interface:

The user interface is created using the Dynamic construct. It consists of the following elements:

• If correct is True, it displays a message indicating that the program has correctly guessed the number.
• Otherwise, it displays:
  • A text row indicating the program's current guess.
  • A row of buttons that allow the user to indicate whether the guess is "too high," "too low," or "correct."

Usage:

To use the program, call the guessnumber function with the desired range as arguments, like guessnumber[1, 100] in the provided code. This starts the game, where you think of a number within the specified range and interact with the user interface to provide feedback on the program's guesses until it correctly guesses your number.

guessnumber[min0_, max0_] := 
  DynamicModule[{min = min0, max = max0, guess, correct = False}, 
   guess[] := Round@Mean@{min, max}; 
   Dynamic@If[correct, Row@{"Your number is ", guess[], "."}, 
     Column@{Row@{"I guess ", guess[], "."}, 
       Row@{Button["too high", max = guess[]], 
         Button["too low", min = guess[]],
         Button["correct", correct = True]}}]];
guessnumber[1, 100]