121 lines
		
	
	
		
			4.4 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			121 lines
		
	
	
		
			4.4 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 587d8258367417b2b2512c81 | ||
|  | title: Delete a Node with One Child in a Binary Search Tree | ||
|  | challengeType: 1 | ||
|  | videoUrl: '' | ||
|  | localeTitle: '' | ||
|  | --- | ||
|  | 
 | ||
|  | ## Description
 | ||
|  | undefined | ||
|  | 
 | ||
|  | ## Instructions
 | ||
|  | undefined | ||
|  | 
 | ||
|  | ## Tests
 | ||
|  | <section id='tests'> | ||
|  | 
 | ||
|  | ```yml | ||
|  | tests: | ||
|  |   - text: '' | ||
|  |     testString: 'assert((function() { var test = false; if (typeof BinarySearchTree !== "undefined") { test = new BinarySearchTree() }; return (typeof test == "object")})(), "The <code>BinarySearchTree</code> data structure exists.");' | ||
|  |   - text: '' | ||
|  |     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>.");' | ||
|  |   - text: '' | ||
|  |     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>.");' | ||
|  |   - text: '' | ||
|  |     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>.");' | ||
|  |   - text: '' | ||
|  |     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");' | ||
|  |   - text: '' | ||
|  |     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.");' | ||
|  |   - text: '' | ||
|  |     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.");' | ||
|  | 
 | ||
|  | ``` | ||
|  | 
 | ||
|  | </section> | ||
|  | 
 | ||
|  | ## Challenge Seed
 | ||
|  | <section id='challengeSeed'> | ||
|  | 
 | ||
|  | <div id='js-seed'> | ||
|  | 
 | ||
|  | ```js | ||
|  | var displayTree = (tree) => console.log(JSON.stringify(tree, null, 2)); | ||
|  | function Node(value) { | ||
|  |   this.value = value; | ||
|  |   this.left = null; | ||
|  |   this.right = null; | ||
|  | } | ||
|  | 
 | ||
|  | function BinarySearchTree() { | ||
|  |   this.root = null; | ||
|  |   this.remove = function(value) { | ||
|  |     if (this.root === null) { | ||
|  |       return null; | ||
|  |     } | ||
|  |     var target; | ||
|  |     var parent = null; | ||
|  |     // find the target value and its parent | ||
|  |     (function findValue(node = this.root) { | ||
|  |       if (value == node.value) { | ||
|  |         target = node; | ||
|  |       } else if (value < node.value && node.left !== null) { | ||
|  |         parent = node; | ||
|  |         return findValue(node.left); | ||
|  |       } else if (value < node.value && node.left === null) { | ||
|  |         return null; | ||
|  |       } else if (value > node.value && node.right !== null) { | ||
|  |         parent = node; | ||
|  |         return findValue(node.right); | ||
|  |       } else { | ||
|  |         return null; | ||
|  |       } | ||
|  |     }).bind(this)(); | ||
|  |     if (target === null) { | ||
|  |       return null; | ||
|  |     } | ||
|  |     // count the children of the target to delete | ||
|  |     var children = (target.left !== null ? 1 : 0) + (target.right !== null ? 1 : 0); | ||
|  |     // case 1: target has no children | ||
|  |     if (children === 0) { | ||
|  |       if (target == this.root) { | ||
|  |         this.root = null; | ||
|  |       } | ||
|  |       else { | ||
|  |         if (parent.left == target) { | ||
|  |           parent.left = null; | ||
|  |         } else { | ||
|  |           parent.right = null; | ||
|  |         } | ||
|  |       } | ||
|  |     } | ||
|  |     // case 2: target has one child, change code below this line | ||
|  |   }; | ||
|  | } | ||
|  | 
 | ||
|  | ``` | ||
|  | 
 | ||
|  | </div> | ||
|  | 
 | ||
|  | 
 | ||
|  | ### After Test
 | ||
|  | <div id='js-teardown'> | ||
|  | 
 | ||
|  | ```js | ||
|  | console.info('after the test'); | ||
|  | ``` | ||
|  | 
 | ||
|  | </div> | ||
|  | 
 | ||
|  | </section> | ||
|  | 
 | ||
|  | ## Solution
 | ||
|  | <section id='solution'> | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` | ||
|  | </section> |