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mathswong

Joined: 27 Feb 2004Posts: 6

Location: Hong Kong

Posted: Sat Dec 11, 2004 8:22 pm    Post subject: 教教我!

某國家流通的貨幣只有 $1、$2、$4、$8 和 $16 紙幣。要付款剛好 $23,不設找續,共有多少種方法?

Kenny TM~

Frequent VisitorJoined: 20 Jan 2004Posts: 127

Posted: Sat Dec 11, 2004 8:29 pm    Post subject: Re: 教教我!

mathswong wrote:

某國家流通的貨幣只有 $1、$2、$4、$8 和 $16 紙幣。要付款剛好 $23,不設找續,共有多少種方法?

Method 1:

用生成函數 (Generating function),

這相等於 展開後的係數。

Method 2:

用二進制。

23 = 16 + 4 + 2 + 1

Curtiss20184

Frequent VisitorJoined: 30 Aug 2004Posts: 38

Location: HK F7

Posted: Fri Dec 17, 2004 11:27 pm    Post subject:

好似有好多種方法架喎…._________________

I am a Form 7 Student in Hong Kong.

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