2020数据结构小学期(三)——由遍历序列恢复二叉树算法
3、由遍历序列恢复二叉树
输入:遍历序列
功能要求:输出二叉树形态或输出二叉树的三种遍历序列
源码:
1 class TreeNode(): 2 def __init__(self, val, left=None, right=None): 3 self.val = val 4 self.left = left 5 self.right = right 6 7 8 def post_print(root): 9 if root: 10 post_print(root.left) 11 post_print(root.right) 12 print(root.val, end=" ") 13 14 15 def restore_tree(pre_order, in_order): 16 if len(pre_order) == 0: 17 return None 18 elif len(in_order) == 1: 19 return TreeNode(in_order[0]) 20 else: 21 root = pre_order[0] 22 depth = in_order.index(root) 23 temp = TreeNode(root) 24 temp.left = restore_tree(pre_order[1:depth + 1], in_order[:depth]) 25 temp.right = restore_tree(pre_order[depth + 1:], in_order[depth + 1:]) 26 return temp 27 28 29 if __name__ == '__main__': 30 pre_str = input("请输入先序遍历序列:") 31 in_str = input("请输入中序遍历序列:") 32 # pre_order = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I'] 33 # in_order = ['B', 'C', 'A', 'E', 'D', 'G', 'H', 'F', 'I'] 34 pre_order = [] 35 in_order = [] 36 for char in pre_str: 37 pre_order.append(char) 38 for char in in_str: 39 in_order.append(char) 40 temp = restore_tree(pre_order, in_order) 41 print("先序遍历:") 42 for char in pre_order: 43 print(char, end=" ") 44 print() 45 print("中序遍历:") 46 for char in in_order: 47 print(char, end=" ") 48 print() 49 print("后序遍历:") 50 post_print(temp)