[問題] 一個小遊戲的必勝戰法（拈 003，12 31 7）

看板puzzle (益智遊戲 - 數獨,拼圖,推理,西洋棋)作者northkk (Joky 祈求一顆天宜)時間16年前 (2009/05/04 17:06)推噓13(13推 0噓 9→)

留言22則, 4人參與討論串1/1

我想提供另一個去年 PuzzleUp 的題目... 算是變體的拈 (連英文一起貼, 這叫中英對照版:P) Two persons are playing the following game: 兩個傢伙在玩下面這款規則的遊戲: The game will start as the first player selects any date in January; and will continue with sides selecting dates one by one. The player who selects Sunday, 31st of December will win. 先由其中一個人開始, 選擇一月的某一天。接著換另一個人再做選擇, 如此輪替下去。直到哪個人可以選到 12月31日星期天, 他就獲勝。 ‧ A date consists of three data. The day of the month (1, 2, 3, ..., 30, 31); the month (January, February, ..., November, December) and the day of the week (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday). (Note: You will consider the length of each month. February may last 28 or 29 days). 一個日期有三筆資料, 包含了『日』(1到 31),『月』(1月到12月) 以及『星期幾』(星期一到星期日) (注意: 你要考慮月份的實際長度, 二月你可以當成是28天或29天) ‧ The player who is in charge, can only raise one of the three datas of the date selected by her/his opponent. 輪到哪個人時, 他只能更改他對手剛選擇的日期, 當中三筆資料的其中一筆。 ‧ The raises in the data are unidirectional. That is, after 30, a player cannot select 1, 2, 3, ... 29 but only can select 31. Likewise, after October, only November and December; and after Saturday, only Sunday can be selected. 資料的選擇是不可逆的。舉例來說, 當有人選了『日』是30, 那麼接下來的人就不能在『日』這筆資料選 1到29, 唯一能選的是31; 另外同理, 像是『月』選了十月, 那麼就只剩11和12月可以選擇更改。星期六一旦被選, 在『星期幾』的選項中只能改成星期日。 If the first player selects 1st of January, Monday; what date should the second player select, in order to secure to win the game? 遊戲開始了, 起始玩家選了1月1日, 星期一。那麼… 身為後選的玩家, 你要選擇哪一天, 才能確保你一定勝利?? The following is an example of a game (played unskillfully) between A and B: A) 1st of January, Monday; B) 15th of January, Monday; A) 15th of January, Friday; B) 31st of January, Friday; A) 31st of December, Friday; B) 31st of December, Sunday. [上面是個遊戲過程雙方選擇的例子, 實在很懶得翻譯…自己看吧] -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 163.20.243.7

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puzzlez

05/04 17:10, , 1^F

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northkk

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puzzlez

05/04 17:22, , 3^F

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