特定のバイナリツリーがC++でヒープであるかどうかを確認します

/* C++ program to checks if a binary tree is max heap or not */
#include <bits/stdc++.h>
using namespace std;
struct Node1{
   int key;
   struct Node1 *left;
   struct Node1 *right;
};
struct Node1 *newNode(int k){
   struct Node1 *node1 = new Node1;
   node1->key = k;
   node1->right = node1->left = NULL;
   return node1;
}
unsigned int countNodes(struct Node1* root1){
   if (root1 == NULL)
      return (0);
   return (1 + countNodes(root1->left) + countNodes(root1->right));
}
bool isCompleteUtil (struct Node1* root1, unsigned int index1, unsigned int number_nodes){
   if (root1 == NULL)
      return (true);
   if (index1 >= number_nodes)
      return (false);
   // Recur for left and right subtrees
   return (isCompleteUtil(root1->left, 2*index1 + 1, number_nodes) && isCompleteUtil(root1->right, 2*index1 + 2, number_nodes));
}
bool isHeapUtil(struct Node1* root1){
   if (root1->left == NULL && root1->right == NULL)
      return (true);
   if (root1->right == NULL){
      return (root1->key >= root1->left->key);
   }
   else{
      if (root1->key >= root1->left->key &&
         root1->key >= root1->right->key)
      return ((isHeapUtil(root1->left)) &&
      (isHeapUtil(root1->right)));
      else
         return (false);
   }
}
bool isHeap(struct Node1* root1){
   unsigned int node_count = countNodes(root1);
   unsigned int index1 = 0;
   if (isCompleteUtil(root1, index1, node_count) &&
      isHeapUtil(root1))
   return true;
   return false;
}
// Driver program
int main(){
   struct Node1* root1 = NULL;
   root1 = newNode(10);
   root1->left = newNode(9);
   root1->right = newNode(8);
   root1->left->left = newNode(7);
   root1->left->right = newNode(6);
   root1->right->left = newNode(5);
   root1->right->right = newNode(4);
   root1->left->left->left = newNode(3);
   root1->left->left->right = newNode(2);
   root1->left->right->left = newNode(1);
   if (isHeap(root1))
      cout << "Given binary tree is a Heap\n";
   else
      cout << "Given binary tree is not a Heap\n";
   return 0;
}

出力

Given binary tree is a Heap