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11471: Arrange the Tiles

11471: Arrange the Tiles. ★★★★☆ 題組： Problem Set Archive with Online Judge 題號： 11471: Arrange the Tiles 解題者： 鄭凱原 解題日期： 200 8 年 8 月 20 日 題意： 某 如題目的圖，給你12個方塊，請問能順利拼進圖中的組合數有幾種。 方塊有四種顏色 (R G B Y) 測資的順序表是顏色方向，舉例：RGGY表示此方塊上右下左的顏色分別是RGGY。若圖中兩個方塊相臨，則兩條疊合的邊要同色。. 題意範例： Sample Input 2

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11471: Arrange the Tiles

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  1. 11471: Arrange the Tiles • ★★★★☆ • 題組：Problem Set Archive with Online Judge • 題號：11471: Arrange the Tiles • 解題者：鄭凱原 • 解題日期：2008年8月20日 • 題意：某如題目的圖，給你12個方塊，請問能順利拼進圖中的組合數有幾種。 方塊有四種顏色 (R G B Y) 測資的順序表是顏色方向，舉例：RGGY表示此方塊上右下左的顏色分別是RGGY。若圖中兩個方塊相臨，則兩條疊合的邊要同色。

  2. 題意範例： Sample Input 2 BBBB BBBB BBBB BBBB BBBB BBBB BBBB BBBB BBBB BBBB BBBB YYYY GGGG GGGG GGGG GGGG GGGG GGGG GGGG GGGG GGGG GGGG GGGG GGGG Sample Output Case 1: 0 Case 2: 479001600

  3. 解法：分堆 將12個方塊分成兩部份，分別計算上半部可以成立的圖形，和下半部可以成立的圖形。 再將兩部分中，可以相連的圖形計算出來，即為答案。 • 解法範例：無 • 討論： 時間複雜度：每個case花費 1.分割成兩部分的時間( ) 2.兩部份各自計算可成立圖形的時間 (6! + 6!) 3.計算相連的時間(可忽略) 總結時間複雜度為 * 6! * 2 = 924 * 720 * 2 = 1330560 C 12 6 C 12 6

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