Yahoo Answers: Answers and Comments for Work in pairs on the following version of a game called NIM. A nongraphing calculator is needed for each pair.? [Mathematics]
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From Anonymous
enUS
Mon, 11 May 2009 15:02:40 +0000
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Yahoo Answers: Answers and Comments for Work in pairs on the following version of a game called NIM. A nongraphing calculator is needed for each pair.? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20090511150240AAamTQr
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From ryanker1: A. You want to force your opponent to leave ei...
https://answers.yahoo.com/question/index?qid=20090511150240AAamTQr
https://answers.yahoo.com/question/index?qid=20090511150240AAamTQr
Mon, 11 May 2009 15:18:41 +0000
A. You want to force your opponent to leave either a 20 or a 19 for you. To do that you want to give him an 18. You can get to an 18 if your opponent leaves you either a 17 or 16. To force him to give you either a 17 or 16, try to leave him with a 15.
See the pattern? You always want to give your opponent a multiple of 3. If he adds a 1, you add a 2 (and vice versa) to get to the next multiple of 3. If both players know this strategy, whoever goes first (adding either 1 or 2 to the initial 0) will lose.
B. Is similar except that you want to force your opponent to give you a number in the range 100103. To do that give him a 99, 94, 89, 84, 79, ... any number that ends in a 4 or 9. What ever your opponent does, just bring it back around to a 4 or 9.
C. You want to give you opponent a 73, 72 or 71, so that he has to go over. The trick here is that with digits 3, 5 and 7, the magic multiplier is 10. So always try to bring the total to a number that ends in a 1, 2 or 3. If you get to start at 0, give him a 3. After that always bring it back around to a 3.
Now that you see the general strategy, I'm sure you can figure out the rest.