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  • python树-堆排序

    代码

    def heapSort(alist):
        heap = [0]
        heap.extend(alist)  # 直接将列表入堆,这样叶子节点就不需要下沉
        heapSize = len(alist)
        i = heapSize // 2  # 下沉的顺序必须是从底部到顶部
        while i > 0:  # 构建有序二叉堆
            sink(i, heap, heapSize)
            i = i - 1
        for i in range(len(alist)):
            alist[i] = delMin(heap, heapSize)
            heapSize = heapSize - 1  # 堆中元素不断减小,堆得大小也需要不断更新
    
    def sink(index, heap, heapSize):  # 将index位置的元素沉底
        # print(heap)
        while index*2 <= heapSize:  # 保证不是叶子节点
            mi = getMin(index, heap, heapSize)  # 得到小儿子的索引
            if heap[index] > heap[mi]:
                heap[index], heap[mi] = 
                heap[mi], heap[index]
                index = mi
            else:
                break  # 如果父亲比两个儿子都小,循环停止
    
    def getMin(index, heap, heapSize):  # 得到小儿子的索引
        if index*2+1 > heapSize:
            return index*2
        else:
            if heap[index*2] < heap[index*2+1]:
                return index*2
            else:
                return index*2+1
    
    def delMin(heap, heapSize):  # 去顶+重构有序二叉堆
        temp = heap[1]  # 记录即将遗失的变量(返回需要用到)
        heap[1] = heap[heapSize]  # 将尾部节点移至堆顶,准备下沉
        heap.pop()
        sink(1, heap, heapSize-1)  # 下沉堆顶元素
        return temp
    
    l1 = [5, 2, 0, 1, 3, 1, 4]
    heapSort(l1)
    print(l1)
    

    体会

    用函数的方法实现堆排序,由于需要调用多个函数,而且调用的函数需要多个参数,不如用类的方法简洁

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  • 原文地址:https://www.cnblogs.com/SKEZhi/p/13375553.html
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