Created
August 16, 2020 19:56
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Binary search tree in Typescript
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/** | |
* 8 root = 10 | root = <- deleteNode(10) -> | |
* / \ | |
* 6 25 | |
* / \ / \ | |
* 4 8 15 30 | |
* \ | |
* 5 | |
* | |
*/ | |
class TreeNode { | |
public left: TreeNode = null; | |
public right: TreeNode = null; | |
constructor( | |
public value: number | |
) { } | |
} | |
class BinarySearchTree { | |
public root: TreeNode = null; | |
public add(value: number): void { | |
const node: TreeNode = new TreeNode(value); | |
if (this.isEmpty()) { | |
this.root = node; | |
} else { | |
let currentNode: TreeNode = this.root; | |
while (currentNode) { | |
if (value > currentNode.value) { | |
if (currentNode.right === null) { | |
currentNode.right = node; | |
return; | |
} | |
currentNode = currentNode.right; | |
} else { | |
if (currentNode.left === null) { | |
currentNode.left = node; | |
return; | |
} | |
currentNode = currentNode.left; | |
} | |
} | |
} | |
} | |
public search(value: number): number { | |
let currentNode: TreeNode = this.root; | |
while (currentNode) { | |
if (value === currentNode.value) { | |
return value; | |
} else if (value > currentNode.value) { | |
currentNode = currentNode.right; | |
} else { | |
currentNode = currentNode.left; | |
} | |
} | |
return null; | |
} | |
public delete(value: number): void { | |
this.root = this.deleteRecursively(this.root, value); | |
} | |
private deleteRecursively(root: TreeNode, value: number): TreeNode { | |
if (root === null) { | |
return null; | |
} | |
if (root.value === value) { | |
// eliminamos | |
root = this.deleteNode(root); // -> devuelve la misma estructura con el nodo eliminado | |
} else if (value < root.value) { | |
// nos movemos a la izquierda | |
root.left = this.deleteRecursively(root.left, value); | |
} else { | |
// derecha | |
root.right = this.deleteRecursively(root.right, value); | |
} | |
return root; | |
} | |
private deleteNode(root: TreeNode): TreeNode { | |
if (root.left === null && root.right === null) { | |
// es hoja | |
return null; | |
} else if (root.left !== null && root.right !== null) { | |
// tiene dos hijos | |
const successorNode = this.getSuccessor(root.left); | |
const successorValue = successorNode.value; | |
root = this.deleteRecursively(root, successorValue); | |
root.value = successorValue; | |
return root; | |
} else if (root.left !== null) { | |
// tiene izquierdo | |
return root.left; | |
} | |
// derecho | |
return root.right; | |
} | |
private getSuccessor(node: TreeNode): TreeNode { | |
let currentNode: TreeNode = node; | |
while (currentNode) { | |
if (currentNode.right === null) { | |
break; | |
} | |
currentNode = currentNode.right; | |
} | |
return currentNode; | |
} | |
public isEmpty(): boolean { | |
return this.root === null; | |
} | |
} | |
const bst = new BinarySearchTree(); | |
bst.add(20); | |
bst.add(25); | |
bst.add(15); | |
bst.add(18); | |
bst.add(14); | |
console.log('FIND 30:', bst.search(30)); | |
console.log('FIND 18:', bst.search(18)); | |
console.log('FIND 25:', bst.search(25)); | |
console.log('FIND 15:', bst.search(15)); | |
console.log('FIND 20:', bst.search(20)); | |
console.log(bst.root); | |
bst.delete(18); | |
console.log(bst.root); | |
bst.delete(20); | |
console.log(bst.root); |
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