Thursday 16 November 2017

C Program to Check whether a Tree is a Binary Search Tree


Code:

#include   stdio.h
#include   stdlib.h

struct node
{
    int data;
    struct node* left;
    struct node* right;
};

static struct node *prev = NULL; 

/*Function to check whether the tree is BST or not*/
int is_bst(struct node* root)
{
    if (root)
    {
        if (!is_bst(root->left)) //moves towards the leftmost child of the tree and checks for the BST
            return 0;
        if (prev != NULL && root->data <= prev->data)
            return 0;
        prev = root;
        return is_bst(root->right);    //moves the corresponding right child of the tree and checks for the BST
    }
    return 1;
}

struct node* newNode(int data)
{
    struct node* node = (struct node*)malloc(sizeof(struct node));
    node->data = data;
    node->left = NULL;
    node->right = NULL;

    return(node);
}

int main()
{
  /*
    The input tree is as shown below
                40
                / \
            20        60
            / \       \
        10        30      80
                          \
                            90
  */
    struct node *root = newNode(40);
    root->left        = newNode(20);
    root->right       = newNode(60);
    root->left->left  = newNode(10);
    root->left->right = newNode(30);
    root->right->right = newNode(80);
    root->right->right->right = newNode(90);
    if (is_bst(root))
        printf("TREE 1 Is BST");
    else
        printf("TREE 1 Not a BST");
    prev = NULL;
/*
    The input tree is as shown below
                50
                / \
            20        30
            / \      
        70        80 
        / \          \
    10     40     60
*/
    struct node *root1 = newNode(50);
    root1->left  = newNode(20);
    root1->right  = newNode(30);
    root1->left->left  = newNode(70);
    root1->left->right = newNode(80);
    root1->left->left->right = newNode(40);
    root1->left->left->leftt = newNode(90);
    if (is_bst1(root1))
        printf("TREE 2 Is BST");
    else
        printf("TREE 2 Not a BST");
    return 0;
}



Output:

TREE 1 Is BST
TREE 2 Not a BST



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