DATA STRUCTURES PROGRAM • TREES & BINARY SEARCH TREES

Count Leaf Nodes in a Binary Tree

Learn how to count leaf nodes in a binary tree using a clear C program.

BeginnerBinary treeNodesRecursion

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
Leaves = 4

COMPLETE C PROGRAM

Complete C implementation

dsa-count-tree-leaves.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 count_leaves(struct TreeNode *root)
{
    if (root == NULL) return 0;
    if (root->left == NULL && root->right == NULL) return 1;
    return count_leaves(root->left) + count_leaves(root->right);
}

int main(void)
{
    struct TreeNode *root = sample_tree();
    printf("Leaves = %d\n", count_leaves(root));
    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

Leaves = 4
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Read the required input values.
  2. Count a node only when it has no left or right child.
  3. Display the computed result.

Count a node only when it has no left or right child.

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.