-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathavltree.py
More file actions
173 lines (145 loc) · 5.43 KB
/
Copy pathavltree.py
File metadata and controls
173 lines (145 loc) · 5.43 KB
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
# lesson no : 24 avl tree
# avl tree using queue + linked list
import queue
class avltree:
def __init__(self, data):
self.data = data
self.leftchild = None
self.rightchild = None
self.height = 1
# traversal functions in avl
def preordertraversal(rootnode):
if not rootnode:
return
print(rootnode.data)
preordertraversal(rootnode.leftchild)
preordertraversal(rootnode.rightchild)
def inordertraversal(rootnode):
if not rootnode:
return
preordertraversal(rootnode.leftchild)
print(rootnode.data)
preordertraversal(rootnode.rightchild)
def postordertraversal(rootnode):
if not rootnode:
return
preordertraversal(rootnode.leftchild)
preordertraversal(rootnode.rightchild)
print(rootnode.data)
def levelordertraversal(rootnode):
if not rootnode:
return
else:
customqueue = queue.queue()
customqueue.enqueue(rootnode)
while not (customqueue.isempty()):
root = customqueue.dequeue()
print(root.value.data)
if root.value.leftchild is not None:
customqueue.enqueue(root.value.leftchild)
if root.value.rightchild is not None:
customqueue.enqueue(root.value.rightchild)
def searchode(rootnode, nodevalue):
if rootnode.data == nodevalue:
return nodevalue
elif nodevalue < rootnode.data:
if rootnode.leftchild.data == nodevalue:
return nodevalue
else:
searchode(rootnode.leftchild, nodevalue)
else:
if rootnode.rightchild.data == nodevalue:
return nodevalue
else:
searchode(rootnode.rightchild, nodevalue)
def getHeight(rootnode):
if not rootnode:
return 0
else:
return rootnode.height
def rightrotate(disbalancednode):
newroot = disbalancednode.leftchild
disbalancednode.leftchild = disbalancednode.leftchild.rightchild
newroot.rightchild = disbalancednode
disbalancednode.height = 1 + max(getHeight(disbalancednode.leftchild), getHeight(disbalancednode.rightchild))
newroot.height = 1 + max(getHeight(newroot.leftchild), getHeight(newroot.rightchild))
return newroot
def leftrotate(disbalancednode):
newroot = disbalancednode.rightchild
disbalancednode.rightchild = disbalancednode.rightchild.leftchild
newroot.leftchild = disbalancednode
disbalancednode.height = 1 + max(getHeight(disbalancednode.leftchild), getHeight(disbalancednode.rightchild))
newroot.height = 1 + max(getHeight(newroot.leftchild), getHeight(newroot.rightchild))
return newroot
def getbalance(rootnode):
if not rootnode:
return
else:
return (getHeight(rootnode.leftchild) - getHeight(rootnode.rightchild))
def insertnode(rootnode, nodevalue):
if not rootnode:
return avltree(nodevalue)
elif nodevalue < rootnode.data:
rootnode.leftchild = insertnode(rootnode.leftchild, nodevalue)
else:
rootnode.rightchild = insertnode(rootnode.rightchild, nodevalue)
rootnode.height = 1 + max(getHeight(rootnode.leftchild), getHeight(rootnode.rightchild))
balance = getbalance(rootnode)
if balance > 1 and nodevalue < rootnode.leftchild.data:
return rightrotate(rootnode)
if balance > 1 and nodevalue > rootnode.leftchild.data:
rootnode.leftchild = leftrotate(rootnode.leftchild)
return rightrotate(rootnode)
if balance < -1 and nodevalue > rootnode.rightchild.data:
return leftrotate(rootnode)
if balance < -1 and nodevalue < rootnode.rightchild.data:
rootnode.rightchild = rightrotate(rootnode.rightchild)
leftrotate(rootnode)
return rootnode
def getminvalue(rootnode):
if rootnode is None or rootnode.leftchild is None:
return rootnode
return getminvalue(rootnode.leftchild)
def deletenode(rootnode, nodevalue):
if not rootnode:
return rootnode
elif nodevalue < rootnode.data:
rootnode.leftchild = deletenode(rootnode.leftchild, nodevalue)
elif nodevalue > rootnode.data:
rootnode.rightchild = deletenode(rootnode.rightchild, nodevalue)
else:
if rootnode.leftchild is None:
temp = rootnode.rightchild
rootnode = None
return temp
elif rootnode.rightchild is None:
temp = rootnode.leftchild
rootnode = None
return temp
temp = getminvalue(rootnode.rightchild)
rootnode.data = temp.data
rootnode.rightchild = deletenode(rootnode.rightchild, temp.data)
balance = getbalance(rootnode)
if balance > 1 and getbalance(rootnode.leftchild) >= 0:
return rightrotate(rootnode)
if balance < -1 and getbalance(rootnode.rightchild) <= 0:
return leftrotate(rootnode)
if balance > 1 and getbalance(rootnode.leftchild) < 0:
rootnode.leftchild = leftrotate(rootnode.leftchild)
return rightrotate(rootnode)
if balance < -1 and getbalance(rootnode.rightchild) > 0:
rootnode.rightchild = rightrotate(rootnode.rightchild)
return leftrotate(rootnode)
return rootnode
def deleteentireavl(rootnode):
rootnode.data = None
rootnode.leftchild = None
rootnode.rightchild = None
newavl = avltree(10)
newavl = insertnode(newavl, 20)
newavl = insertnode(newavl, 30)
newavl = insertnode(newavl, 40)
newavl = insertnode(newavl, 50)
newavl = insertnode(newavl, 60)
newavl = deleteentireavl(newavl)
newavl = levelordertraversal(newavl)