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Basic Stuff for Trees
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| #################TREES############ | |
| # The TreeNode Class | |
| class Node | |
| attr_accessor :left, :right, :val | |
| def initialize(val) | |
| @val = val | |
| @left = nil | |
| @right = nil | |
| end | |
| end | |
| # create an example tree | |
| a = Node.new(1) | |
| b = Node.new(2) | |
| c = Node.new(3) | |
| d = Node.new(4) | |
| e = Node.new(5) | |
| a.left = b | |
| a.right = c | |
| c.right = e | |
| c.left = d | |
| head = a | |
| # preorder traversal | |
| def preorder(root) | |
| return if root.nil? | |
| puts root.val | |
| preorder(root.left) | |
| preorder(root.right) | |
| end | |
| preorder(head) | |
| # postorder traversal | |
| def postorder(root) | |
| return if root.nil? | |
| postorder(root.left) | |
| postorder(root.right) | |
| puts root.val | |
| end | |
| postorder(head) | |
| # inorder traversal | |
| def inorder(root) | |
| return if root.nil? | |
| [inorder(root.left), | |
| root.val, | |
| inorder(root.right)].flatten | |
| end | |
| inorder(head) | |
| # DFS in Binary Tree | |
| def dfs(root, val) | |
| return false if root.nil? | |
| return true if val == root.val | |
| return dfs(root.left, val) || dfs(root.right, val) | |
| end | |
| dfs(head,5) | |
| #BFS in a Binary Tree is implemented by visiting all siblings at every level using a Queue | |
| def bfs(root, val) | |
| q = [] | |
| q.push(root) | |
| while(!q.is_empty) | |
| node = q.shift | |
| return true if val == node.val | |
| q.push(node.left) if node.left | |
| q.push(node.right) if node.right | |
| end | |
| false | |
| end | |
| bfs(head,5) |
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