DATA STRUCTURES PROGRAM • TREES & BINARY SEARCH TREES

Find the Diameter of a Binary Tree

Learn how to find the diameter of a binary tree using a clear C program.

AdvancedBinary treeNodesRecursion

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Diameter in nodes = 5

COMPLETE C PROGRAM

Complete C implementation

dsa-tree-diameter.c
Open in compiler
#include <stdio.h>
#include <stdlib.h>

struct TreeNode { int data; struct TreeNode *left; struct TreeNode *right; };
struct TreeNode *new_node(int value)
{
    struct TreeNode *node = malloc(sizeof *node);
    if (node == NULL) exit(EXIT_FAILURE);
    node->data = value; node->left = NULL; node->right = NULL;
    return node;
}
struct TreeNode *sample_tree(void)
{
    struct TreeNode *root = new_node(1);
    root->left = new_node(2); root->right = new_node(3);
    root->left->left = new_node(4); root->left->right = new_node(5);
    root->right->left = new_node(6); root->right->right = new_node(7);
    return root;
}
void free_tree(struct TreeNode *root)
{
    if (root == NULL) return;
    free_tree(root->left); free_tree(root->right); free(root);
}
int diameter_height(struct TreeNode *root, int *diameter)
{
    if (root == NULL) return 0;
    int left = diameter_height(root->left, diameter);
    int right = diameter_height(root->right, diameter);
    if (left + right + 1 > *diameter) *diameter = left + right + 1;
    return 1 + (left > right ? left : right);
}

int main(void)
{
    struct TreeNode *root = sample_tree();
    int diameter = 0;
    diameter_height(root, &diameter);
    printf("Diameter in nodes = %d\n", diameter);
    free_tree(root);
    return 0;
}

GUIDED CODE TOUR • NOT LIVE EXECUTION

Study the program line by line

Use the real compiler button above to run and debug with different inputs.

CURRENT STEP

Select Start to walk through the important lines.

SELECTED LINE

No line selected

EXPECTED OUTPUT FOR THE SAMPLE

Diameter in nodes = 5
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. At each node, combine both subtree heights while returning one height upward.
  3. Display the computed result.

At each node, combine both subtree heights while returning one height upward.

EFFICIENCY

Time and space complexity

Time complexity

O(n)

Auxiliary space

O(h)

DEBUGGING CHECKLIST

Common mistakes

Check this

Use the correct format specifier for every variable.

Check this

Initialize variables before using their values.

Check this

Check braces, semicolons and input order carefully.

Try it yourself

Practice: Run the program with the sample input, predict its output, and then test one boundary case of your own.