一個小遊戲的必勝戰法（拈，3 5 7） - 拼圖

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]


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