Sunday 3 September 2017

Write a program to build a complete binary tree and to chek if it is a Binary Search Tree.



#include<stdio.h>
#include<stdlib.h>

int * createCompleteBinaryTree(int n);
void printCompleteBinaryTree(int * tree, int n);
int isBST(int * tree, int n);

int main()
{
          int n, * tree;
          printf("Enter the number of elements in the tree\n");
          scanf("%d",&n);
          tree = createCompleteBinaryTree(n);
          printCompleteBinaryTree(tree,n);
          if(isBST(tree,n))
                   printf("The tree is a BST\n");
          else
                   printf("The tree is not a BST\n");
          return 0;
}

int * createCompleteBinaryTree(int n)
{
          int i;
          int * tree = (int *) malloc((n)*sizeof(int));
          printf("Enter the elements in the tree\n");
          for(i=0;i<n;i++)
          {
                   scanf("%d",(tree+i));
          }
          return tree;
}


void printCompleteBinaryTree(int * tree, int n)
{
          int i;
          printf("The elements in the tree in level order are");
          for(i=0;i<n;i++)
                   printf(" %d",*(tree+i));
          printf("\n");
}

int isBST(int * tree, int n)
{
 int i,j=1,sum=0,m=0;
 m=n/2;
 for(i=0;i<m;i++)
 {
     sum=*(tree+i);
     if(sum<=*(tree+j))
     {
         if(j>=n)
         break;
         else
         return 0;
     }
     if(sum>=*(tree+j+1))
     {
         if((j+1)>=n)
         break;
         else
         return 0;
     }
    
     else{
     if(j>=n)
     break;
     j=j+2;
 }}
 return 1;
}

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