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Copy pathBinary Search Tree - Diameter
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Binary Search Tree - Diameter
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Implement a C program to find the diameter of a BST.
The diameter of a tree (sometimes called the width) is the number of nodes on the longest path between two leaves in the tree.
[Hint:
The diameter of a tree T is the largest of the following quantities:
the diameter of T’s left subtree
the diameter of T’s right subtree
the longest path between leaves that goes through the root of T (this can be computed from the heights of the subtrees of T)
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
struct tnode {
int data;
struct tnode * leftc;
struct tnode * rightc;
};
void insert(struct tnode **, int num);
void inorder(struct tnode * s);
int max(int a, int b);
int height(struct tnode* node);
int diameter(struct tnode * tree);
int main() {
struct tnode * root=NULL;
char ch[5];
int num;
do {
printf("Enter the element to be inserted in the tree\n");
scanf("%d",&num);
insert(&root, num);
printf("Do you want to insert another element?\n");
scanf("%s",ch);
}while(strcmp(ch,"yes")==0);
printf("The elements in the tree are");
inorder(root);
printf("\n");
printf("The diameter of the tree is %d\n",diameter(root));
return 0;
}
void insert(struct tnode ** s, int num) {
if((*s) == NULL) {
(*s) = (struct tnode *) malloc( sizeof (struct tnode));
(*s)->data = num;
(*s)->leftc = NULL;
(*s)->rightc = NULL;
}
else {
if(num < (*s)->data)
insert(&( (*s)->leftc ), num);
else
insert(&( (*s)->rightc ), num);
}
}
void inorder(struct tnode * s) {
if(s != NULL)
{
inorder(s->leftc);
printf(" %d",s->data);
inorder(s->rightc);
}
}
int diameter(struct tnode * tree) {
if(tree == NULL) return 0;
int lh = height(tree->leftc);
int rh = height(tree->rightc);
int ld = diameter(tree->leftc);
int rd = diameter(tree->rightc);
return max(lh+rh+1 ,max(ld,rd));
}
int height(struct tnode* node) {
if(node == NULL)
return 0;
return 1 + max(height(node->leftc), height(node->rightc));
}
int max(int a, int b) {
return (a >= b)? a: b;
}