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Computer Engineering
Consider a game with two players and two piles of coins. One player chooses a pile and removes one to three coins. Then the other player does the same. The game ends when both piles are empty. The loser is the first player that cannot make a move. Use strong induction to show for all integers n ≥1, if both piles have n coins, then the player who goes second can always win. To start this, perform a belief phase until you can have a player remove 3 coins. What do you notice the second player does to get back to a smaller value of n?

Consider a game with two players and two piles of coins. One player chooses a pile and removes one to three coins. Then the other player does the same. The game ends when both piles are empty. The loser is the first player that cannot make a move. Use strong induction to show for all integers n ≥1, if both piles have n coins, then the player who goes second can always win. To start this, perform a belief phase until you can have a player remove 3 coins. What do you notice the second player does to get back to a smaller value of n?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Consider a game with two players and two piles of coins. One player chooses a pile and removes
one to three coins. Then the other player does the same. The game ends when both piles are
empty. The loser is the first player that cannot make a move.
Use strong induction to show for all integers n ≥1, if both piles have n coins, then the player
who goes second can always win.
To start this, perform a belief phase until you can have a player remove 3 coins. What do you
notice the second player does to get back to a smaller value of n? 

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