Created
July 15, 2017 07:31
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Check if a given Binary Tree is Heap
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// http://www.geeksforgeeks.org/check-if-a-given-binary-tree-is-heap/ | |
// Using level order traversal | |
import java.util.Stack; | |
import java.util.Queue; | |
import java.util.LinkedList; | |
class Node { | |
int data; | |
Node left, right; | |
public Node(int item) { | |
data = item; | |
left = null; | |
right = null; | |
} | |
} | |
class BinaryTree { | |
Node root; | |
boolean checkMaxHeap() | |
{ | |
Queue<Node> queue = new LinkedList<Node>(); | |
queue.add(root); | |
boolean leftNullFound = false; | |
while(!queue.isEmpty()) { | |
Node temp = queue.poll(); | |
if (temp.left != null) | |
{ | |
// if a null left node has been found, then no other left node should exist to satify the complete binary tree property | |
if(leftNullFound == true) | |
{ | |
return false; | |
} | |
if (temp.data > temp.left.data) | |
{ | |
queue.add(temp.left); | |
} | |
else | |
{ | |
return false; | |
} | |
} | |
else | |
{ | |
leftNullFound = true; | |
} | |
if(temp.right != null) | |
{ | |
// if a null left node has been found, then no right node should exist to satify the complete binary tree property | |
if(leftNullFound == true) | |
{ | |
return false; | |
} | |
if (temp.data > temp.right.data) | |
{ | |
queue.add(temp.right); | |
} else{ | |
return false; | |
} | |
} | |
} | |
return true; | |
} | |
public static void main(String args[]) | |
{ | |
BinaryTree tree_level = new BinaryTree(); | |
tree_level.root = new Node(97); | |
tree_level.root.left = new Node(46); | |
tree_level.root.right = new Node(37); | |
tree_level.root.left.left = new Node(12); | |
tree_level.root.left.right = new Node(3); | |
//tree_level.root.left.right.left = new Node(2); | |
//tree_level.root.left.right.right = new Node(1); | |
tree_level.root.right.left = new Node(7); | |
tree_level.root.right.right = new Node(31); | |
boolean res = tree_level.checkMaxHeap(); | |
if (res) { | |
System.out.println(" Max Heap"); | |
} else { | |
System.out.println(" Not a Max Heap"); | |
} | |
} | |
} |
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