Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Euclid's Game Overview** 2. **Euclid’s Game** starts with two unequal positive numbers on the board. For this problem, assume that permissible starting numbers are in the range [1, 50]. Two players move in turn. On each move, a player has to write on the board a positive number equal to the difference of two numbers already on the board; this number must be different from all the numbers already written on the board. The player who cannot move loses the game. a. Give three examples of a ‘game tree’ for Euclid’s Game for any pair of numbers you choose. b. Should you choose to move first or second in this game?
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Transcribed Image Text:**Euclid's Game Overview** 2. **Euclid’s Game** starts with two unequal positive numbers on the board. For this problem, assume that permissible starting numbers are in the range [1, 50]. Two players move in turn. On each move, a player has to write on the board a positive number equal to the difference of two numbers already on the board; this number must be different from all the numbers already written on the board. The player who cannot move loses the game. a. Give three examples of a ‘game tree’ for Euclid’s Game for any pair of numbers you choose. b. Should you choose to move first or second in this game?
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