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fp:homework04 [2022/05/03 18:27]
pdmatei
fp:homework04 [2023/05/09 15:27] (current)
pdmatei
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-===== H04Final homework ​=====+===== Homework 4Five in a row AI =====
  
-For the final homework, you **may** choose between two options: +Homework ​consists in developing a complete ​five-in-a-row game, together with an AI and a very basic interface. ​
-  * **A. Lab homework (0.5p)**. All students which **did not submit** ​Homework ​3, (submitted a solution which did not compile or got under 30p), may choose this homework. The **maximum** number of points that may be achieved is 0.5p. See details below. +
-  * **(B) Tic Tac Toe part 2 (1p)**. All students which **submitted** Homework 3 or a consistent part of it may choose this homework. See details below. +
- +
- +
-===== A. Lab homework (0.5p) ===== +
- +
-The lab homework ​consists in providing **complete** solutions to labs [[fp:​lab04|4]],​ [[fp:​lab05|5]],​ [[fp:​lab06|6]],​ [[fp:​lab07|9]] and [[fp:​lab08|10]],​ except for exercises marked with **(!)**.  +
-  * **Each completed lab will be graded with 0.1p**  +
-  * **There will be no partial points for partially solved labs** ​each lab has to be entirely complete to be graded. +
-  * **Solutions will be presented live and graded during lab** no solutions sent by email or MS Teams will be graded. +
-  * **Solutions should be solved 100% individually**. If some exercises or **parts** of them are taken from other sources, the **entire homework** will not be graded. +
-  * Deadline: **Friday 27 May** +
- +
- +
-===== B. Tic Tac Toe part 2 (1p) ===== +
- +
-Option B. for Homework 4 consists in developing ​complete Tic Tac Toe game, together with an AI and a very basic interface. ​+
  
   * For this stage, you will decide on the structure of your project, as well as write tests to guide your implementation.   * For this stage, you will decide on the structure of your project, as well as write tests to guide your implementation.
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   * There will be no other partial points, other than those mentioned explicitly in the statement.   * There will be no other partial points, other than those mentioned explicitly in the statement.
  
-==== B.1. Board analysis (0.2p) ====+==== 4.1. Board analysis (0.2p) ====
  
-For this part, you need to implement a function ''​sequences'',​ that returns a list of 4 pairs of the form: ''​(a,5), (b,4), (c,3), (d,2)''​ where: +For this part, you need to implement a function ''​sequences'',​ that returns a map of the form: ''​(5,a), (4,b), (3,c), (2,d)''​ where: 
-  * ''​a''​ is the number sequences of length 5 that the player has established+  * ''​a''​ is the number sequences of length 5 that the player has established ​(on lines, columns or diagonals).
   * ''​b''​ is the number of sequences of length 4 **which can be filled-out in order to achieve a 5-sequence**. For example: ''​XX XX''​ is such a sequence for player ''​One'',​ however ''​XX0XX''​ is not, since this cannot be filled-out in order to achieve a 5-sequence.   * ''​b''​ is the number of sequences of length 4 **which can be filled-out in order to achieve a 5-sequence**. For example: ''​XX XX''​ is such a sequence for player ''​One'',​ however ''​XX0XX''​ is not, since this cannot be filled-out in order to achieve a 5-sequence.
   * ''​c''​ (resp. ''​d''​) is the number of sequences of length 3 (resp. 2) which can be filled-out in order to achieve a 5-sequence.   * ''​c''​ (resp. ''​d''​) is the number of sequences of length 3 (resp. 2) which can be filled-out in order to achieve a 5-sequence.
 +
 +  * Proper testing is **essential** for this function, as the AI will take decisions based on it. It will be harder to spot problems with ''​sequences''​ in a later stage of the project.
 +  * You can replace the implementation of ''​winner''​ with a call to this function, to make the code more compact and avoid partial re-implementations.
  
 <code scala> <code scala>
-def sequences(p:​ Player)(b: Board): ​List[(Int,Int)] = ???+def sequences(p:​ Player)(b: Board): ​Map[Int,Int] = ???
 </​code>​ </​code>​
  
-==== B.2. Functionality (0.35p) ==== +==== 4.2. Functionality (0.35p) ==== 
  
-==== B.3. Game AI (0.45p) ==== +For this part, you need to implement a functional project which consists of a running loop: 
 +  * Asks for the player to supply a move (expressed as a pair (x,y) of coordinates to play, or in any other manner that you prefer). 
 +  * Plays the opponent move via the AI 
 +  * Displays the board, and repeats, until either player wins. 
 + 
 +More details will be available during lecture. 
 + 
 +** For this particular part, tests are not necessary**. 
 + 
 +==== 4.3. Game AI (0.45p) ====  
 + 
 +This part is at the very core of the project, and essentially consists of a function ''​play'',​ which implements the AIs decision of selecting a move. 
 +<code scala> 
 +def play(p: Player, b: Board): Board = ??? 
 +</​code>​  
 + 
 +**You may slightly change the signature of this function**, to accommodate your project. 
 + 
 +You may start with a very basic (trivial) implementation,​ which will allow you to move on with **4.2.** and then refine it after **B.2.** is complete. 
 + 
 +We offer no guidelines about how this function should be implemented,​ this is entirely up to you, but you may consider: 
 + 
 +**Possible strategies:​** 
 +  * You may implement ''​play''​ by simply evaluating the sequences that are available in the current play, as well as those of the opponent. This **local** strategy may become complicated,​ require a lot of code, as the game may unfold in different ways. It is also important to have a good strategy for starting the game (e.g. a play in either corner of the board is a bad way to start). 
 + 
 +  * The //​standard//​ approach, is to implement a [[https://​en.wikipedia.org/​wiki/​Minimax|Minimax Tree]] which allows you to inspect the game unfolding for a few moves in advance (e.g. 3 moves). More details will be given during lecture.
  
   * Very basic, but functional AI: **0.1p**   * Very basic, but functional AI: **0.1p**
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   * Minimax-based AI **0.45p**   * Minimax-based AI **0.45p**
  
-0.2p bonus for the best AI, which will be established in a **competition during ​lecture**.+==== 4.4. Bonus (0.2p) ==== 
 + 
 +During ​the last lecturewe will play a tournament of Five-in-a-row,​ in which all your AI programs will compete. 
 + 
 +**The author the best AI implementations ​will be awarded ​bonus of 0.2p**
 + 
 +** The winner of the tournament will receive a maximal grade of 10 for the entire ​lecture ​(no attendance to the exam will be necessary)**.