10077 the stern brocot number system
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10077 : The Stern-Brocot Number System. ★★☆☆☆ 題組: Problem Set Archive with Online Judge 題號: 10077 : The Stern-Brocot Number System 解題者: 陳柏均 解題日期: 20 11 年 3 月 4 日

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10077 : The Stern-Brocot Number System

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10077 the stern brocot number system

10077: The Stern-Brocot Number System

  • ★★☆☆☆

  • 題組:Problem Set Archive with Online Judge

  • 題號:10077: The Stern-Brocot Number System

  • 解題者:陳柏均

  • 解題日期:2011年3月4日

  • 題意:給予初值( , ),將分子與分子相加、分母語分母相加,求出一個新的序列( ,, ),利用這個方式建立一個樹狀圖(下圖),題目將輸入兩個正整數分別代表分子與分母,找出 到這個分數的路徑,印出R或L。當輸入為1、1時結束離開離開。


10077 the stern brocot number system

  • 題意範例:

    INPUT:5 78783231 1

    OUTPUT: LRRLRRLRRLRLLLLRLRRR

  • 解法:類似binarytree的解法,將輸入的值丟進function做

    recursive,因為求出來的數大小必介於原本的兩數之間,所以就一個個進行比較直到找出這個數為止。


10077 the stern brocot number system

  • 解法範例:

    ※void lway(double lson,double lmon,double x,double y,double rson,double rmon);

    ※void rway(double lson,double lmon,double x,double y,double rson,double rmon);

  • 討論:

    分母等於零時將分數設為2147483647


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