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                ## 插入排序 插入排序(英語:Insertion Sort)是一種簡單直觀的排序算法。它的工作原理是通過構建有序序列,對于未排序數據,在已排序序列中從后向前掃描,找到相應位置并插入。插入排序在實現上,在從后向前掃描過程中,需要反復把已排序元素逐步向后挪位,為最新元素提供插入空間。 ## 插入排序分析 ![](https://box.kancloud.cn/441052756540a6da26894aeafdf7081a_1134x396.png) ![](https://box.kancloud.cn/6e67d1c722106442b422ee53e98575b3_300x180.gif) ~~~ def insert_sort(alist): # 從第二個位置,即下標為1的元素開始向前插入 for i in range(1, len(alist)): # 從第i個元素開始向前比較,如果小于前一個元素,交換位置 for j in range(i, 0, -1): if alist[j] < alist[j-1]: alist[j], alist[j-1] = alist[j-1], alist[j] alist = [54,26,93,17,77,31,44,55,20] insert_sort(alist) print(alist) ~~~ ## 時間復雜度 * 最優時間復雜度:O(n) (升序排列,序列已經處于升序狀態) * 最壞時間復雜度:O(n2) * 穩定性:穩定 ## 插入排序演示 ![](https://box.kancloud.cn/1a3a6e25ea0a91054f802bfa2b82f9b0_393x374.gif)
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