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| 1 | +/* |
| 2 | +This code explains, how can Javascript be used to implement Binary Search Trees. |
| 3 | +In this program I have written code to add elements to a binary search tree, run in-order, |
| 4 | +pre-order, post-order traversals and find elements in a BST. |
| 5 | +*/ |
| 6 | +class Node{ |
| 7 | + constructor(val){ |
| 8 | + this.val = val |
| 9 | + this.left = null |
| 10 | + this.right = null |
| 11 | + this.count = 1 |
| 12 | + } |
| 13 | +} |
| 14 | + |
| 15 | +class BinarySearchTree{ |
| 16 | + constructor(){ |
| 17 | + this.root = null |
| 18 | + } |
| 19 | + |
| 20 | + create(val){ |
| 21 | + var newnode = new Node(val) |
| 22 | + return newnode |
| 23 | + } |
| 24 | + |
| 25 | + add(val){ |
| 26 | + var newnode = this.create(val) |
| 27 | + if (!this.root){ |
| 28 | + this.root = newnode |
| 29 | + return |
| 30 | + } |
| 31 | + |
| 32 | + else{ |
| 33 | + var prev = null |
| 34 | + var temp = this.root |
| 35 | + while(temp){ |
| 36 | + prev = temp |
| 37 | + |
| 38 | + if (val == temp.val){ |
| 39 | + temp.count += 1 |
| 40 | + return |
| 41 | + } |
| 42 | + else if (val < temp.val){ |
| 43 | + temp = temp.left |
| 44 | + } |
| 45 | + else{ |
| 46 | + temp = temp.right |
| 47 | + } |
| 48 | + } |
| 49 | + |
| 50 | + if (val > prev.val){ |
| 51 | + prev.right = newnode |
| 52 | + } |
| 53 | + |
| 54 | + else { |
| 55 | + prev.left = newnode |
| 56 | + } |
| 57 | + |
| 58 | + return |
| 59 | + } |
| 60 | + } |
| 61 | + |
| 62 | + inorder(temp){ |
| 63 | + if(!temp){ |
| 64 | + return |
| 65 | + } |
| 66 | + |
| 67 | + else{ |
| 68 | + this.inorder(temp.left) |
| 69 | + |
| 70 | + for (let index = 0; index < temp.count; index++) { |
| 71 | + console.log(temp.val + " ") |
| 72 | + } |
| 73 | + |
| 74 | + this.inorder(temp.right) |
| 75 | + return |
| 76 | + } |
| 77 | + } |
| 78 | + |
| 79 | + inorder_traversal(){ |
| 80 | + this.inorder(this.root) |
| 81 | + } |
| 82 | + |
| 83 | + postorder(temp){ |
| 84 | + if(!temp){ |
| 85 | + return |
| 86 | + } |
| 87 | + |
| 88 | + else{ |
| 89 | + this.postorder(temp.left) |
| 90 | + |
| 91 | + this.postorder(temp.right) |
| 92 | + |
| 93 | + for (let index = 0; index < temp.count; index++) { |
| 94 | + console.log(temp.val + " ") |
| 95 | + } |
| 96 | + |
| 97 | + return |
| 98 | + } |
| 99 | + } |
| 100 | + |
| 101 | + postorder_traversal(){ |
| 102 | + this.postorder(this.root) |
| 103 | + } |
| 104 | + |
| 105 | + preorder(temp){ |
| 106 | + if(!temp){ |
| 107 | + return |
| 108 | + } |
| 109 | + |
| 110 | + else{ |
| 111 | + |
| 112 | + for (let index = 0; index < temp.count; index++) { |
| 113 | + console.log(temp.val + " ") |
| 114 | + } |
| 115 | + |
| 116 | + this.preorder(temp.left) |
| 117 | + |
| 118 | + this.preorder(temp.right) |
| 119 | + return |
| 120 | + } |
| 121 | + } |
| 122 | + |
| 123 | + preorder_traversal(){ |
| 124 | + this.preorder(this.root) |
| 125 | + } |
| 126 | + |
| 127 | + find_val(val, temp){ |
| 128 | + if(!temp){ |
| 129 | + return -1 |
| 130 | + } |
| 131 | + |
| 132 | + else{ |
| 133 | + if(val == temp.val){ |
| 134 | + return temp.count |
| 135 | + } |
| 136 | + else if (val < temp.val){ |
| 137 | + return this.find_val(val, temp.left) |
| 138 | + } |
| 139 | + else{ |
| 140 | + return this.find_val(val, temp.right) |
| 141 | + } |
| 142 | + } |
| 143 | + } |
| 144 | + |
| 145 | + find(val){ |
| 146 | + return this.find_val(val, this.root) |
| 147 | + } |
| 148 | + |
| 149 | +} |
| 150 | + |
| 151 | + |
| 152 | +var tree = new BinarySearchTree() |
| 153 | + |
| 154 | +tree.add(1) |
| 155 | +tree.add(5) |
| 156 | +tree.add(2) |
| 157 | +tree.add(4) |
| 158 | +tree.add(2) |
| 159 | +tree.add(3) |
| 160 | +console.log("# Inorder Traversal") |
| 161 | +tree.inorder_traversal() |
| 162 | +console.log("# Pre-order Traversal") |
| 163 | +tree.preorder_traversal() |
| 164 | +console.log("# Post-order Traversal") |
| 165 | +tree.postorder_traversal() |
| 166 | +console.log("# Finding 10") |
| 167 | +console.log(tree.find(10)) |
| 168 | +console.log("# Finding 2") |
| 169 | +console.log(tree.find(2)) |
| 170 | +console.log("# Finding 5") |
| 171 | +console.log(tree.find(5)) |
| 172 | + |
| 173 | +/* |
| 174 | +OUTPUT |
| 175 | +
|
| 176 | +# Inorder Traversal |
| 177 | +1 |
| 178 | +2 |
| 179 | +2 |
| 180 | +3 |
| 181 | +4 |
| 182 | +5 |
| 183 | +# Pre-order Traversal |
| 184 | +1 |
| 185 | +5 |
| 186 | +2 |
| 187 | +2 |
| 188 | +4 |
| 189 | +3 |
| 190 | +# Post-order Traversal |
| 191 | +3 |
| 192 | +4 |
| 193 | +2 |
| 194 | +2 |
| 195 | +5 |
| 196 | +1 |
| 197 | +# Finding 10 |
| 198 | +-1 |
| 199 | +# Finding 2 |
| 200 | +2 |
| 201 | +# Finding 5 |
| 202 | +1 |
| 203 | +*/ |
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