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数数字游戏
2022-07-06 09:13:00 【萍果馅是年糕】
数数字游戏:2人交替数数字,从1开始,到21结束,先数到21者获胜。每人每次至少数1个数字,每人每次最多数3个数字。
神话般的结论:谁先数,谁就获胜。
请大家给出游戏破解的秘籍,并进一步探讨以下几种情况:
(1)如果是从1开始,到17结束,到13结束……?
(2)如果是从1开始,到31结束?
(3)如果是从1开始,到21结束,但至少2个数字,最多可以数5个数字?
(4)如果是谁数到21,谁输,其他条件不变,如何调整游戏秘籍?
游戏秘籍
最后一个数是21,而可以报数最大为3,最小为1,则当最后剩下5个数字时,先报数的必赢。先报数的掌握17,无论后者报几位数,都可以赢。想要报17,先报1,然后要保证前面都是4个数字一局,则要掌握5,9,13这几个数字。
(1)17结束
根据游戏秘籍,先报1,然后4个数字一局,掌握5,9,13最后剩下14,15,16,17由后报者先报,则先报者赢。
13结束
根据游戏秘籍,先报1,然后4个数字一局,掌握5,9最后剩下10,11,12,13由后报者先报,先报者赢。
(2)31结束
根据游戏秘籍,先报1,2然后4个数字一局,掌握6,10,14,18,22,26最后剩下27,28,29,30,31,先报者赢。
(3)可以报数最大为5,最小为2,则最后要保证剩下6或7个数字。要掌握14和15。
(4)最后一个数是21,而可以报数最大为3,最小为1,则当最后剩下5个数字时,后报数的必赢。后报者要保证4,8,12,16这几个数字,保证4个数字一局。
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