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    ###### tags: `Python` `1091` # HW8 - 魔方陣龍捲風 ## 檔名 `square.py` ## 故事 :::info 老俞在搭飛機到 MOLi 國的途中遇上了龍捲風,醒來之後發現他掉到一個當地古老的魔方陣裡面,為了避免吵醒魔方陣裡的魔獸,老俞必須按照一定的順序走出魔方陣,請大家幫忙老俞找到出去的方法! > [name=王婷誼] ::: ## 說明 * 產生 `n*n` 的魔方陣 * 從魔方陣的正中間開始,依照給定的起始方向,順時針依序印出魔方陣的內容 :::danger - 請勿 import 任何東西 - 本次作業至少需包含以下 function : ```python= def showSquare(): # 印出結果 def square(): # 產生魔方陣 def main(): # 主程式 ``` ::: ## 魔方陣演算法 * 把 `1` 放置在第一列的中間 * 順序將 `2`, `3`, ..... 等數放在右上方格中 * 當右上方格出界的時候,則由另一邊進入 * 當右上方格中已經填有數,則把數填入正下方的方格中。 * 按照以上步驟直到填寫完所有 $n*n$ 個方格。 * 例圖 ![](https://i.imgur.com/D9PjXrM.png) * $5*5$ 魔方陣 ![](https://i.imgur.com/x3ZnsF6.png) ## 走訪魔方陣 * 起始方向為左的走訪順序 (不要管圖的數字,看位置順序就好) : ![](https://i.imgur.com/15AmV96.png) * 起始方向為上的走訪順序 (不要管圖的數字,看位置順序就好): ![](https://i.imgur.com/Hz2DJQt.png) ## 輸入 - 整數 `n` 表示方陣的大小 - `n` 必為奇數 - `direc` 表示起始方向 - 0 : 左 - 1 : 上 - 2 : 右 - 3 : 下 ## 輸出 - 依序印出走訪的數字,每個數字之間印一個空白 ## 範例 ![](https://i.imgur.com/2PJzw5O.png)

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