121 lines
		
	
	
		
			4.4 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			121 lines
		
	
	
		
			4.4 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 587d8258367417b2b2512c81
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| title: Delete a Node with One Child in a Binary Search Tree
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| challengeType: 1
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| videoUrl: ''
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| localeTitle: ''
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| ---
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| 
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| ## Description
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| undefined
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| 
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| ## Instructions
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| undefined
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| 
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| ## Tests
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| <section id='tests'>
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| 
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| ```yml
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| tests:
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|   - text: ''
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|     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() }; return (typeof test == "object")})(), "The <code>BinarySearchTree</code> data structure exists.");'
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|   - text: ''
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|     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() } else { return false; }; return (typeof test.remove == "function")})(), "The binary search tree has a method called <code>remove</code>.");'
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|   - text: ''
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|     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() } else { return false; }; if (typeof test.remove !== "function") { return false; }; return (test.remove(100) == null); })(), "Trying to remove an element that does not exist returns <code>null</code>.");'
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|   - text: ''
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|     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() } else { return false; }; if (typeof test.remove !== "function") { return false; }; test.add(500); test.remove(500); return (test.inorder() == null); })(), "If the root node has no children, deleting it sets the root to <code>null</code>.");'
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|   - text: ''
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|     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() } else { return false; }; if (typeof test.remove !== "function") { return false; }; test.add(5); test.add(3); test.add(7); test.add(6); test.add(10); test.add(12); test.remove(3); test.remove(12); test.remove(10); return (test.inorder().join("") == "567"); })(), "The <code>remove</code> method removes leaf nodes from the tree");'
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|   - text: ''
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|     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() } else { return false; }; if (typeof test.remove !== "function") { return false; }; test.add(-1); test.add(3); test.add(7); test.add(16); test.remove(16); test.remove(7); test.remove(3); return (test.inorder().join("") == "-1"); })(), "The <code>remove</code> method removes nodes with one child.");'
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|   - text: ''
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|     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() } else { return false; }; if (typeof test.remove !== "function") { return false; }; test.add(15); test.add(27); test.remove(15); return (test.inorder().join("") == "27"); })(), "Removing the root in a tree with two nodes sets the second to be the root.");'
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| 
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| ```
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| 
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| </section>
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| 
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| ## Challenge Seed
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| <section id='challengeSeed'>
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| 
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| <div id='js-seed'>
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| 
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| ```js
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| var displayTree = (tree) => console.log(JSON.stringify(tree, null, 2));
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| function Node(value) {
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|   this.value = value;
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|   this.left = null;
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|   this.right = null;
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| }
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| 
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| function BinarySearchTree() {
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|   this.root = null;
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|   this.remove = function(value) {
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|     if (this.root === null) {
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|       return null;
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|     }
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|     var target;
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|     var parent = null;
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|     // find the target value and its parent
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|     (function findValue(node = this.root) {
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|       if (value == node.value) {
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|         target = node;
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|       } else if (value < node.value && node.left !== null) {
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|         parent = node;
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|         return findValue(node.left);
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|       } else if (value < node.value && node.left === null) {
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|         return null;
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|       } else if (value > node.value && node.right !== null) {
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|         parent = node;
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|         return findValue(node.right);
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|       } else {
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|         return null;
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|       }
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|     }).bind(this)();
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|     if (target === null) {
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|       return null;
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|     }
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|     // count the children of the target to delete
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|     var children = (target.left !== null ? 1 : 0) + (target.right !== null ? 1 : 0);
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|     // case 1: target has no children
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|     if (children === 0) {
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|       if (target == this.root) {
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|         this.root = null;
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|       }
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|       else {
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|         if (parent.left == target) {
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|           parent.left = null;
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|         } else {
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|           parent.right = null;
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|         }
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|       }
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|     }
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|     // case 2: target has one child, change code below this line
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|   };
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| }
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| 
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| ```
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| 
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| </div>
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| 
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| 
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| ### After Test
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| <div id='js-teardown'>
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| 
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| ```js
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| console.info('after the test');
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| ```
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| 
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| </div>
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| 
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| </section>
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| 
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| ## Solution
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| <section id='solution'>
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| 
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| ```js
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| // solution required
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| ```
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| </section>
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