Python實作二元樹結構與進行二元樹遍歷的方法詳解

二元樹的建立

使用類別的形式定義二元樹，可讀性更好

class BinaryTree:
  def __init__(self, root):
    self.key = root
    self.left_child = None
    self.right_child = None
  def insert_left(self, new_node):
    if self.left_child == None:
      self.left_child = BinaryTree(new_node)
    else:
      t = BinaryTree(new_node)
      t.left_child = self.left_child
      self.left_child = t
  def insert_right(self, new_node):
    if self.right_child == None:
      self.right_child = BinaryTree(new_node)
    else:
      t = BinaryTree(new_node)
      t.right_child = self.right_child
      self.right_child = t
  def get_right_child(self):
    return self.right_child
  def get_left_child(self):
    return self.left_child
  def set_root_val(self, obj):
    self.key = obj
  def get_root_val(self):
    return self.key
 
r = BinaryTree('a')
print(r.get_root_val())
print(r.get_left_child())
r.insert_left('b')
print(r.get_left_child())
print(r.get_left_child().get_root_val())
r.insert_right('c')
print(r.get_right_child())
print(r.get_right_child().get_root_val())
r.get_right_child().set_root_val('hello')
print(r.get_right_child().get_root_val())

Python進行二叉樹遍歷

結果 
2. 中序遍歷，列印出遍歷結果 
3. 後序遍歷，列印出遍歷結果 
4. 按樹的level遍歷，列印出遍歷結果 
5. 結點的下一層如果沒有子節點，以'N'代替

方法：

使用defaultdict或namedtuple表示二元樹

使用StringIO方法，遍歷時寫入結果，最後列印結果
列印結點值時，如果為空，StringIO（）寫入'N '
採用遞歸訪問子節點
程式碼

#!/usr/bin/env python3
# -*- coding: utf-8 -*-
 
# test tree as below:
''' 1 / \ / \ / \ / \ 2 3 / \ / \ / \ / \ 4 5 6 N / \ / \ / \ 7 N N N 8 9 / \ / \ / \ N N N N N N '''
 
from collections import namedtuple
from io import StringIO
 
#define the node structure
Node = namedtuple('Node', ['data', 'left', 'right'])
#initialize the tree
tree = Node(1,
      Node(2,
         Node(4,
           Node(7, None, None),
           None),
         Node(5, None, None)),
      Node(3,
         Node(6,
           Node(8, None, None),
           Node(9, None, None)),
         None))
#read and write str in memory
output = StringIO()
 
 
#read the node and write the node's value
#if node is None, substitute with 'N '
def visitor(node):
  if node is not None:
    output.write('%i ' % node.data)
  else:
    output.write('N ')
 
 
#traversal the tree with different order
def traversal(node, order):
  if node is None:
    visitor(node)
  else:
    op = {
        'N': lambda: visitor(node),
        'L': lambda: traversal(node.left, order),
        'R': lambda: traversal(node.right, order),
    }
    for x in order:
      op[x]()
 
 
#traversal the tree level by level
def traversal_level_by_level(node):
  if node is not None:
    current_level = [node]
    while current_level:
      next_level = list()
      for n in current_level:
        if type(n) is str:
          output.write('N ')
        else:
          output.write('%i ' % n.data)
          if n.left is not None:
            next_level.append(n.left)
          else:
            next_level.append('N')
          if n.right is not None:
            next_level.append(n.right)
          else:
            next_level.append('N ')
 
      output.write('\n')
      current_level = next_level
 
 
if __name__ == '__main__':
  for order in ['NLR', 'LNR', 'LRN']:
    if order == 'NLR':
      output.write('this is preorder traversal:')
      traversal(tree, order)
      output.write('\n')
    elif order == 'LNR':
      output.write('this is inorder traversal:')
      traversal(tree, order)
      output.write('\n')
    else:
      output.write('this is postorder traversal:')
      traversal(tree, order)
      output.write('\n')
 
  output.write('traversal level by level as below:'+'\n')
  traversal_level_by_level(tree)
 
  print(output.getvalue())

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