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枫下家园 / 望子成龙 / 请数学高手解难题,谢谢先!Two girls Anna and Barbara play a game in which they pick sticks from a pile of sticks. Anna always first plays the game and can only pick 1, 3 or 4 sticks. Then Barbara also picks 1, 3 or 4 sticks. They repeat playing the game in this way. To ensure that Barbara always wins the game which means the remained number of sticks would be 1, 3 or 4 after Anna picks in the last round, what is the original number of sticks in the pile?
(a) 31, (b) 32, (c) 33, (d) 34, (e) 35 or (f) 36.
-lilyflower(tiger);
2006-3-1
{486}
(#2814063@0)
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f
-diao_david(GBTS);
2006-3-1
(#2814104@0)
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could you explain how you get it? Thanks!
-lilyflower(tiger);
2006-3-1
(#2814167@0)
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seeking common multiple for 3 and 4.
-sui_watson(lonelybird);
2006-3-2
(#2814438@0)
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Thanks, but it doesn't work well.
-lilyflower(tiger);
2006-3-2
(#2814459@0)
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why?
-sui_watson(lonelybird);
2006-3-2
(#2814462@0)
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应该是f.
这个总数应该能被2,3,4,5,6,7,8,9整除或余数是1,3,4。
-sunflowerseed(瓜子);
2006-3-4
(#2819801@0)
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(e)35, 7n or 7n+2
-gr8gta(gr8gta);
2006-3-5
(#2820129@0)
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same here
-xordos(donothing);
2006-3-5
(#2820270@0)
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非常感谢楼上各位。
-lilyflower(tiger);
2006-3-5
(#2820335@0)