ach pile as you want, but in order to better understand the game, we'll star iles of stones (see figure 1 below).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Nim is a two-player game played with several piles of stones. You can use as many piles and as many
stones in each pile as you want, but in order to better understand the game, we'll start off with just a
few small piles of stones (see figure 1 below).
Pile 1
Pile 1
Pile 2
The two players take turns removing stones from the game. On each turn, the player removing
stones can only take stones from one pile, but they can remove as many stones from that pile as
they want (please note, a player must remove atleast 1 stone from a pile during his/her turn). If they
want, they can even remove the entire pile from the game! The winner is the player who removes
the final stone (avoid taking the last stone - see figure 2 below).
Pile 2
Pile 3
Pile 3
Let's say its Max (player 1) turn to play. Then Max can win by simply removing a
stone from Pile 2 or Pile 3
Draw a game tree (upto depth level 2) for the given version of the Nim game. Please consider figure
1 as your initial game configuration/state (root is at depth level O). Your game tree should show at
least 4-5 moves for Max (all successor nodes generated at depth level 1) and at least 4-5 moves for
Min (all successor nodes generated at depth level 2). You do not need to include the utility value of
the nodes.
This is a file upload question. Make sure that your solution is correctly uploaded and eligible to
receive full credit.
Transcribed Image Text:Nim is a two-player game played with several piles of stones. You can use as many piles and as many stones in each pile as you want, but in order to better understand the game, we'll start off with just a few small piles of stones (see figure 1 below). Pile 1 Pile 1 Pile 2 The two players take turns removing stones from the game. On each turn, the player removing stones can only take stones from one pile, but they can remove as many stones from that pile as they want (please note, a player must remove atleast 1 stone from a pile during his/her turn). If they want, they can even remove the entire pile from the game! The winner is the player who removes the final stone (avoid taking the last stone - see figure 2 below). Pile 2 Pile 3 Pile 3 Let's say its Max (player 1) turn to play. Then Max can win by simply removing a stone from Pile 2 or Pile 3 Draw a game tree (upto depth level 2) for the given version of the Nim game. Please consider figure 1 as your initial game configuration/state (root is at depth level O). Your game tree should show at least 4-5 moves for Max (all successor nodes generated at depth level 1) and at least 4-5 moves for Min (all successor nodes generated at depth level 2). You do not need to include the utility value of the nodes. This is a file upload question. Make sure that your solution is correctly uploaded and eligible to receive full credit.
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