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   Author  Topic: End up with a composite expression game  (Read 303 times)
Aryabhatta
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End up with a composite expression game  
« on: Jun 16th, 2007, 9:32am »		 Quote Quote Modify Modify
The numbers 1 2 3 ... 100 are written on a blackboard.
 
Two players play a game taking alternate turns.
 
Each player at his turn places either a + , - or , x  (addition, subtraction, multiplication) operator in the blank space between two numbers.
 
In the end, when 99 operators have been written, the value of the expression is calculated (given preference to x over + and - etc).
 
If the expression is composite the first player wins, otherwise the second player wins.
 
Would you like to play first or second?
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Grimbal
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Re: End up with a composite expression game  
« Reply #1 on: Jun 16th, 2007, 9:52am »		 Quote Quote Modify Modify
First.
I believe it is possible to force the expression to be even.
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Aryabhatta
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Re: End up with a composite expression game  
« Reply #2 on: Jun 16th, 2007, 10:20am »		 Quote Quote Modify Modify
Correct, Grimbal
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