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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： 20 11 年 3 月 4 日

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10077 : The Stern-Brocot Number System

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  1. 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。

  2. 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。

  3. 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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