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.
PROBLEM UNDERSTANDING
Input and expected output
Sample input
No input required
Sample output
Leaves = 4
COMPLETE C PROGRAM
Complete C implementation
#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;
}CURRENT STEP
SELECTED LINE
EXPECTED OUTPUT FOR THE SAMPLE
Leaves = 4
Step 0 of 0
PROGRAM EXPLANATION
Algorithm and explanation
- Read the required input values.
- Count a node only when it has no left or right child.
- 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.
