DATA STRUCTURES PROGRAM • TREES & BINARY SEARCH TREES

Check Whether a Binary Tree Is Height-Balanced

Learn how to check whether a binary tree is height-balanced using a clear C program.

AdvancedBinary treeNodesRecursion

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Tree is balanced.

COMPLETE C PROGRAM

Complete C implementation

dsa-check-height-balanced-tree.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 balance_height(struct TreeNode *root)
{
    if (root == NULL) return 0;
    int left = balance_height(root->left);
    int right = balance_height(root->right);
    if (left < 0 || right < 0 || abs(left - right) > 1) return -1;
    return 1 + (left > right ? left : right);
}

int main(void)
{
    struct TreeNode *root = sample_tree();
    puts(balance_height(root) >= 0 ? "Tree is balanced." : "Tree is not balanced.");
    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

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EXPECTED OUTPUT FOR THE SAMPLE

Tree is balanced.
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Return a failure marker as soon as any subtree heights differ by more than one.
  3. Display the computed result.

Return a failure marker as soon as any subtree heights differ by more than one.

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.