The task involves printing leaf nodes of a binary tree at given level k which is specified by the user.
Leaf nodes are the end nodes whose left and right pointer is NULL which means that particular node is not a parent node.
Example
Input : 11 22 33 66 44 88 77 Output : 88 77
Here, k represents the level of a tree which needs to be printed. The approach used here is traversing every node and checking whether the node is having any pointer. Even if there is one pointer that means either left or right or both than that particular node can’t be a leaf node.
Traversing each node recursively using level order technique in which the nodes are traversed level wise starting from Left → root → right.
The below code shows the c implementation of the algorithm given
Algorithm
START Step 1 -> create node variable of type structure Declare int data Declare pointer of type node using *left, *right Step 2 -> create function for inserting node with parameter as new_data Declare temp variable of node using malloc Set temp->data = new_data Set temp->left = temp->right = NULL return temp Step 3 -> declare Function void leaf(struct node* root, int level) IF root = NULL Exit End IF level = 1 IF root->left == NULL && root->right == NULL Print root->data End End ELSE IF level>1 Call leaf(root->left, level - 1) Call leaf(root->right, level - 1) End Step 4-> In main() Set level = 4 Call New passing value user want to insert as struct node* root = New(1) Call leaf(root,level) STOP
Example
include<stdio.h> #include<stdlib.h> //structre of a node defined struct node { struct node* left; struct node* right; int data; }; //structure to create a new node struct node* New(int data) { struct node* temp = (struct node*)malloc(sizeof(struct node)); temp->data = data; temp->left = NULL; temp->right = NULL; return temp; } //function to found leaf node void leaf(struct node* root, int level) { if (root == NULL) return; if (level == 1) { if (root->left == NULL && root->right == NULL) printf("%d\n",root->data); } else if (level > 1) { leaf(root->left, level - 1); leaf(root->right, level - 1); } } int main() { printf("leaf nodes are: "); struct node* root = New(11); root->left = New(22); root->right = New(33); root->left->left = New(66); root->right->right = New(44); root->left->left->left = New(88); root->left->left->right = New(77); int level = 4; leaf(root, level); return 0; }
Output
If we run above program then it will generate following output.
leaf nodes are: 88 77