以下是带递归深度追踪的快速排序实现：

def quick_sort(arr, depth=1):

    if len(arr) <= 1:

        print(f"递归深度: {depth} - 基本情况")

        return arr

    

    pivot = arr[len(arr)//2]

    left = [x for x in arr if x < pivot]

    middle = [x for x in arr if x == pivot]

    right = [x for x in arr if x > pivot]

    

    print(f"递归深度: {depth} - 处理数组: {arr}, 基准值: {pivot}")

    

    return quick_sort(left, depth+1) + middle + quick_sort(right, depth+1)

# 测试用例

if __name__ == "__main__":

    data = [3, 6, 8, 10, 1, 2, 1]

    print("原始数组:", data)

    sorted_data = quick_sort(data)

    print("排序结果:", sorted_data)

该实现使用列表推导式分割数组，通过depth参数记录递归深度。每次递归调用时depth+1，在基准情况和每次分割时打印当前深度。测试用例展示了递归过程的可视化跟踪。

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