-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathbinarySearchTreeImp.js
More file actions
174 lines (150 loc) · 4.4 KB
/
binarySearchTreeImp.js
File metadata and controls
174 lines (150 loc) · 4.4 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
class Node {
constructor(value){
this.value = value;
this.left = null;
this.right = null;
}
}
class BinarySearchTree {
constructor(){
this.root = null;
}
insert(value){
const newLeaf = new Node( value );
if(this.root === null ){
this.root = newLeaf;
}
else{
let currentNode = this.root;
while( true )
{
if( value < currentNode.value )
{
if( currentNode.left === null )
{
currentNode.left = newLeaf;
return this;
}
else{
currentNode = currentNode.left;
}
}
else{
if( currentNode.right === null )
{
currentNode.right = newLeaf;
return this;
}
else{
currentNode = currentNode.right;
}
}
}
}
}
lookup(value){
if (!this.root) {
return false;
}
let currentNode = this.root;
while(currentNode){
if(value < currentNode.value){
currentNode = currentNode.left;
} else if(value > currentNode.value){
currentNode = currentNode.right;
} else if (currentNode.value === value) {
return currentNode;
}
}
return null
}
remove(value) {
if (!this.root) {
return false;
}
let currentNode = this.root;
let parentNode = null;
while(currentNode){
if(value < currentNode.value){
parentNode = currentNode;
currentNode = currentNode.left;
} else if(value > currentNode.value){
parentNode = currentNode;
currentNode = currentNode.right;
} else if (currentNode.value === value) {
//We have a match, get to work!
//Option 1: No right child:
if (currentNode.right === null) {
if (parentNode === null) {
this.root = currentNode.left;
} else {
//if parent > current value, make current left child a child of parent
if(currentNode.value < parentNode.value) {
parentNode.left = currentNode.left;
//if parent < current value, make left child a right child of parent
} else if(currentNode.value > parentNode.value) {
parentNode.right = currentNode.left;
}
}
//Option 2: Right child which doesnt have a left child
} else if (currentNode.right.left === null) {
currentNode.right.left = currentNode.left;
if(parentNode === null) {
this.root = currentNode.right;
} else {
//if parent > current, make right child of the left the parent
if(currentNode.value < parentNode.value) {
parentNode.left = currentNode.right;
//if parent < current, make right child a right child of the parent
} else if (currentNode.value > parentNode.value) {
parentNode.right = currentNode.right;
}
}
//Option 3: Right child that has a left child
} else {
//find the Right child's left most child
let leftmost = currentNode.right.left;
let leftmostParent = currentNode.right;
while(leftmost.left !== null) {
leftmostParent = leftmost;
leftmost = leftmost.left;
}
//Parent's left subtree is now leftmost's right subtree
leftmostParent.left = leftmost.right;
leftmost.left = currentNode.left;
leftmost.right = currentNode.right;
if(parentNode === null) {
this.root = leftmost;
} else {
if(currentNode.value < parentNode.value) {
parentNode.left = leftmost;
} else if(currentNode.value > parentNode.value) {
parentNode.right = leftmost;
}
}
}
return true;
}
}
}
}
const tree = new BinarySearchTree();
tree.insert(9)
tree.insert(4)
tree.insert(6)
tree.insert(20)
tree.insert(170)
tree.insert(15)
tree.insert(1)
//JSON.stringify(traverse(tree.root))
tree.lookup(15);
tree.lookup(7);
// 9
// 4 20
//1 6 15 170
function traverse(node) {
const tree = { value: node.value };
tree.left = node.left === null ? null : traverse(node.left);
tree.right = node.right === null ? null : traverse(node.right);
return tree;
}