Create main.cpp

Author: JawadSher

19 - Heap Data Structure Problems/05 - Is Binary Tree Heap/main.cpp

@@ -0,0 +1,42 @@
+class Solution {
+  public:
+    int countNodes(struct Node* root){
+        if(root == NULL) return 0;
+        
+        return 1 + countNodes(root -> left) + countNodes(root -> right);
+    }
+    
+    bool isCBT(struct Node* root, int index, int count){
+        if(root == NULL) return true;
+        
+        if(index >= count) return false;
+        
+        else {
+            bool left = isCBT(root -> left, 2 * index + 1, count);
+            bool right = isCBT(root -> right, 2 * index + 2, count);
+            
+            return left && right;
+        }
+    }
+    
+    bool isMaxOrder(struct Node* root){
+        if(root -> left == NULL && root -> right == NULL) return true;
+        
+        if(root -> right == NULL) return (root -> data > root -> left -> data);
+        else {
+            bool left = isMaxOrder(root -> left);
+            bool right = isMaxOrder(root -> right);
+            
+            return (left && right && 
+            (root -> data > root -> left -> data && root -> data > root -> right -> data));
+        }
+    }
+    bool isHeap(struct Node* root) {
+        int index = 0;
+        int totalCount = countNodes(root);
+        
+        if(isCBT(root, index, totalCount) && isMaxOrder(root)) return true;
+        
+        return false;
+    }
+};