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10320 Cow Trouble! Help Please!!

10320 Cow Trouble! Help Please!!. ★★★☆☆ 題組： Contest Archive with Online Judge 題號： 10320 Cow Trouble! Help Please!! 解題者： 郭真爾 解題日期： 20 13 年 4 月 25 日 題意： 有一頭牛被一根長度 R 的繩子拴在一棟建築物 ABCD 的 B 點上 , 草地的範圍為無限大，求牛可以吃到的草的範圍。 Input 會給 l, w  和 R  表示建築物長寬和繩長； l,w,R< 10000 。 Output 要輸到小數點第 10 位。. 題意範例：

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10320 Cow Trouble! Help Please!!

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  1. 10320 Cow Trouble! Help Please!! • ★★★☆☆ • 題組：Contest Archive with Online Judge • 題號：10320 Cow Trouble! Help Please!! • 解題者：郭真爾 • 解題日期：2013年4月25日 • 題意：有一頭牛被一根長度R的繩子拴在一棟建築物ABCD的B點上,草地的範圍為無限大，求牛可以吃到的草的範圍。Input會給l, w 和R 表示建築物長寬和繩長；l,w,R< 10000。Output要輸到小數點第10位。

  2. 題意範例： 10 5 5　→ l=10 , w=5 , R=5 10 4 8　→ l=10 , w=4 , R=8 • 解法：用繩長R來分各種情況利用暴力法去計算面積 • 解法範例： (1) R<=w l=10 , w=5 , R=5 PI*R*R*3/4=58.9048622548

  3. (2) w<R<=l l=10 , w=4 , R=8 PI*R*R*3/4 + PI*(R-w)*(R-w)*1/4 = 163.3628179867 (3) l<R<=l+w Ans = PI*R*R*3/4 + PI*(R-w)*(R-w)*1/4 + PI*(R-l)*(R-l)*1/4

  4. (4) l+w<R Ans= PI*R*R*3/4 + PI*(R-w)*(R-w)*1/4 + PI*(R-l)*(R-l)*1/4 -扇形DMK -扇形AKN +多邊形ACDK

  5. 討論：#define PI 2*acos(0)

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