forked from TheAlgorithms/Python
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathbinary_tree_traversals.py
190 lines (158 loc) · 5.19 KB
/
binary_tree_traversals.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
"""
This is pure python implementation of tree traversal algorithms
"""
from __future__ import print_function
import queue
try:
raw_input # Python 2
except NameError:
raw_input = input # Python 3
class TreeNode:
def __init__(self, data):
self.data = data
self.right = None
self.left = None
def build_tree():
print("\n********Press N to stop entering at any point of time********\n")
print("Enter the value of the root node: ", end="")
check = raw_input().strip().lower()
if check == 'n':
return None
data = int(check)
q = queue.Queue()
tree_node = TreeNode(data)
q.put(tree_node)
while not q.empty():
node_found = q.get()
print("Enter the left node of %s: " % node_found.data, end="")
check = raw_input().strip().lower()
if check == 'n':
return tree_node
left_data = int(check)
left_node = TreeNode(left_data)
node_found.left = left_node
q.put(left_node)
print("Enter the right node of %s: " % node_found.data, end="")
check = raw_input().strip().lower()
if check == 'n':
return tree_node
right_data = int(check)
right_node = TreeNode(right_data)
node_found.right = right_node
q.put(right_node)
def pre_order(node):
if not isinstance(node, TreeNode) or not node:
return
print(node.data, end=" ")
pre_order(node.left)
pre_order(node.right)
def in_order(node):
if not isinstance(node, TreeNode) or not node:
return
in_order(node.left)
print(node.data, end=" ")
in_order(node.right)
def post_order(node):
if not isinstance(node, TreeNode) or not node:
return
post_order(node.left)
post_order(node.right)
print(node.data, end=" ")
def level_order(node):
if not isinstance(node, TreeNode) or not node:
return
q = queue.Queue()
q.put(node)
while not q.empty():
node_dequeued = q.get()
print(node_dequeued.data, end=" ")
if node_dequeued.left:
q.put(node_dequeued.left)
if node_dequeued.right:
q.put(node_dequeued.right)
def level_order_actual(node):
if not isinstance(node, TreeNode) or not node:
return
q = queue.Queue()
q.put(node)
while not q.empty():
list = []
while not q.empty():
node_dequeued = q.get()
print(node_dequeued.data, end=" ")
if node_dequeued.left:
list.append(node_dequeued.left)
if node_dequeued.right:
list.append(node_dequeued.right)
print()
for node in list:
q.put(node)
# iteration version
def pre_order_iter(node):
if not isinstance(node, TreeNode) or not node:
return
stack = []
n = node
while n or stack:
while n: # start from root node, find its left child
print(n.data, end=" ")
stack.append(n)
n = n.left
# end of while means current node doesn't have left child
n = stack.pop()
# start to traverse its right child
n = n.right
def in_order_iter(node):
if not isinstance(node, TreeNode) or not node:
return
stack = []
n = node
while n or stack:
while n:
stack.append(n)
n = n.left
n = stack.pop()
print(n.data, end=" ")
n = n.right
def post_order_iter(node):
if not isinstance(node, TreeNode) or not node:
return
stack1, stack2 = [], []
n = node
stack1.append(n)
while stack1: # to find the reversed order of post order, store it in stack2
n = stack1.pop()
if n.left:
stack1.append(n.left)
if n.right:
stack1.append(n.right)
stack2.append(n)
while stack2: # pop up from stack2 will be the post order
print(stack2.pop().data, end=" ")
if __name__ == '__main__':
print("\n********* Binary Tree Traversals ************\n")
node = build_tree()
print("\n********* Pre Order Traversal ************")
pre_order(node)
print("\n******************************************\n")
print("\n********* In Order Traversal ************")
in_order(node)
print("\n******************************************\n")
print("\n********* Post Order Traversal ************")
post_order(node)
print("\n******************************************\n")
print("\n********* Level Order Traversal ************")
level_order(node)
print("\n******************************************\n")
print("\n********* Actual Level Order Traversal ************")
level_order_actual(node)
print("\n******************************************\n")
print("\n********* Pre Order Traversal - Iteration Version ************")
pre_order_iter(node)
print("\n******************************************\n")
print("\n********* In Order Traversal - Iteration Version ************")
in_order_iter(node)
print("\n******************************************\n")
print("\n********* Post Order Traversal - Iteration Version ************")
post_order_iter(node)
print("\n******************************************\n")