Given an N-array tree root and an integer K, the task is to print all the cousins of node K.
Note: Two nodes are considered to be cousins if they have the same depth (are on the same level) and have different parents.
Examples:
Consider the below tree:
Input: K = 39
Output: 88 98 61 74 17 72 19Input: K = 17
Output: 88 98 61 74 39Input: K = 90
Output: NA
Approach: The idea is to do a level order traversal. During the traversal, if we find a node whose child is equal to the given element, then we will not push the children of this node. We will push the children of the other nodes and the inner loop will end when all the elements of that level are traversed. Follow the steps below to solve the problem:
- If root equals null, then return.
- Initialize the queue q[] and push root into the queue q[].
- Initialize the boolean variable found as false.
- Initialize the variables qsize as 0 and node temp.
-
Iterate over the while loop till q[] is not empty and node is not found and perform the following tasks:
- Set size qsize as the size of the queue q[].
-
Iterate over the while loop till qsize is greater than 0 and perform the following tasks:
- Set tempp as the front of the queue q[].
- De queue from the queue q[].
- If found equals true, then push all it’s children into the queue q[].
-
Iterate over the range [0, temp->child.size()) using the variable i and perform the following tasks:
- If the child is not null and it’s key equals value, then set the value of found as true.
- If found is false, then push all it’s children into the queue q[].
- Decrease the value of qsize by 1.
- If found is false, then print “Not Possible.”
- Else, Initialize the variables qsize as the size of the queue q[].
- If qsize equals 0 then print “No Cousins”.
- Else, print all the elements of the queue q[].
Below is the implementation of the above approach
// C++ program for the above approach #include <bits/stdc++.h> using namespace std;
// Structure of a node of N-ary tree struct Node {
int key;
vector<Node*> child;
}; // New node creation Node* newNode( int key)
{ Node* temp = new Node;
temp->key = key;
return temp;
} // Function to find the cousins of a // given node in an N-array tree void printCousins(Node* root, int value)
{ // Base case
if (root == NULL)
return ;
queue<Node*> q;
q.push(root);
// If we find the node
// with value as the key
bool found = false ;
int qsize = 0;
Node* tempp;
while (!q.empty() && !found) {
qsize = q.size();
while (qsize) {
// Storing the current node
tempp = q.front();
q.pop();
// If we have already found
// the value as child of a node,
// we need to insert children of other
// node of same level in the queue
if (found == true ) {
for ( int i = 0; i < tempp->child.size();
i++) {
if (tempp->child[i] != NULL)
q.push(tempp->child[i]);
}
}
// If value is child of tempp node
for ( int i = 0; i < tempp->child.size(); i++)
if (tempp->child[i] != NULL
&& tempp->child[i]->key == value)
found = true ;
// If value is not the child of tempp node
// then insert all the children
// of the tempp node
if (found == false ) {
for ( int i = 0; i < tempp->child.size();
i++) {
if (tempp->child[i] != NULL)
q.push(tempp->child[i]);
}
}
qsize--;
}
}
if (found) {
// Queue will contain the cousins
qsize = q.size();
if (qsize == 0)
cout << "NA" ;
for ( int i = 0; i < qsize; i++) {
tempp = q.front();
q.pop();
cout << tempp->key << " " ;
}
}
else {
// When value is not in the tree
cout << "Not Possible" ;
}
cout << "\n" ;
return ;
} // Driver Code int main()
{ Node* root = newNode(10);
(root->child).push_back(newNode(77));
(root->child).push_back(newNode(90));
(root->child).push_back(newNode(35));
(root->child).push_back(newNode(19));
(root->child[0]->child).push_back(newNode(88));
(root->child[0]->child).push_back(newNode(98));
(root->child[0]->child[1]->child)
.push_back(newNode(76));
(root->child[0]->child[1]->child)
.push_back(newNode(20));
(root->child[1]->child).push_back(newNode(61));
(root->child[1]->child).push_back(newNode(74));
(root->child[2]->child).push_back(newNode(39));
(root->child[3]->child).push_back(newNode(17));
(root->child[3]->child).push_back(newNode(72));
(root->child[3]->child).push_back(newNode(19));
// Find the cousins of value
int value = 39;
printCousins(root, value);
return 0;
} |
// Java program for the above approach import java.util.*;
class GFG{
// Structure of a node of N-ary tree
static class Node {
int key;
Vector<Node> child = new Vector<Node>();
};
// New node creation
static Node newNode( int key)
{
Node temp = new Node();
temp.key = key;
return temp;
}
// Function to find the cousins of a
// given node in an N-array tree
static void printCousins(Node root, int value)
{
// Base case
if (root == null )
return ;
Queue<Node> q = new LinkedList<GFG.Node>();
q.add(root);
// If we find the node
// with value as the key
boolean found = false ;
int qsize = 0 ;
Node tempp;
while (!q.isEmpty() && !found) {
qsize = q.size();
while (qsize > 0 ) {
// Storing the current node
tempp = q.peek();
q.remove();
// If we have already found
// the value as child of a node,
// we need to insert children of other
// node of same level in the queue
if (found == true ) {
for ( int i = 0 ; i < tempp.child.size();
i++) {
if (tempp.child.get(i) != null )
q.add(tempp.child.get(i));
}
}
// If value is child of tempp node
for ( int i = 0 ; i < tempp.child.size(); i++)
if (tempp.child.get(i) != null
&& tempp.child.get(i).key == value)
found = true ;
// If value is not the child of tempp node
// then insert all the children
// of the tempp node
if (found == false ) {
for ( int i = 0 ; i < tempp.child.size();
i++) {
if (tempp.child.get(i) != null )
q.add(tempp.child.get(i));
}
}
qsize--;
}
}
if (found) {
// Queue will contain the cousins
qsize = q.size();
if (qsize == 0 )
System.out.print( "NA" );
for ( int i = 0 ; i < qsize; i++) {
tempp = q.peek();
q.remove();
System.out.print(tempp.key+ " " );
}
}
else {
// When value is not in the tree
System.out.print( "Not Possible" );
}
System.out.print( "\n" );
return ;
}
// Driver Code
public static void main(String[] args)
{
Node root = newNode( 10 );
(root.child).add(newNode( 77 ));
(root.child).add(newNode( 90 ));
(root.child).add(newNode( 35 ));
(root.child).add(newNode( 19 ));
(root.child.get( 0 ).child).add(newNode( 88 ));
(root.child.get( 0 ).child).add(newNode( 98 ));
(root.child.get( 0 ).child.get( 1 ).child)
.add(newNode( 76 ));
(root.child.get( 0 ).child.get( 1 ).child)
.add(newNode( 20 ));
(root.child.get( 1 ).child).add(newNode( 61 ));
(root.child.get( 1 ).child).add(newNode( 74 ));
(root.child.get( 2 ).child).add(newNode( 39 ));
(root.child.get( 3 ).child).add(newNode( 17 ));
(root.child.get( 3 ).child).add(newNode( 72 ));
(root.child.get( 3 ).child).add(newNode( 19 ));
// Find the cousins of value
int value = 39 ;
printCousins(root, value);
}
} // This code is contributed by shikhasingrajput |
# Python code for the above approach # Structure of a node of N-ary tree class Node:
def __init__ ( self , k):
self .key = k;
self .child = [];
# node creation # Function to find the cousins of a # given node in an N-array tree def printCousins(root, value):
# Base case
if (root = = None ):
return ;
q = [];
q.append(root);
# If we find the node
# with value as the key
found = False ;
qsize = 0 ;
tempp = None
while ( len (q) ! = 0 and found ! = 1 ):
qsize = len (q);
while (qsize ! = 0 ):
# Storing the current node
tempp = q[ 0 ];
q.pop( 0 );
# If we have already found
# the value as child of a node,
# we need to insert children of other
# node of same level in the queue
if (found = = True ):
for i in range ( len (tempp.child)):
if (tempp.child[i] ! = None ):
q.append(tempp.child[i]);
# If value is child of tempp node
for i in range ( len (tempp.child)):
if (tempp.child[i] ! = None and tempp.child[i].key = = value):
found = True ;
# If value is not the child of tempp node
# then insert all the children
# of the tempp node
if (found = = False ):
for i in range ( len (tempp.child)):
if (tempp.child[i] ! = None ):
q.append(tempp.child[i]);
qsize - = 1
if (found):
# Queue will contain the cousins
qsize = len (q);
if (qsize = = 0 ):
print ( "NA" );
for i in range (qsize):
tempp = q[ 0 ];
q.pop( 0 );
print (tempp.key, end = " " );
else :
# When value is not in the tree
print ( "Not Possible" );
print ('')
return ;
# Driver Code root = Node( 10 );
root.child.append(Node( 77 ));
root.child.append(Node( 90 ));
root.child.append(Node( 35 ));
root.child.append(Node( 19 ));
root.child[ 0 ].child.append(Node( 88 ));
root.child[ 0 ].child.append(Node( 98 ));
root.child[ 0 ].child[ 1 ].child.append(Node( 76 ));
root.child[ 0 ].child[ 1 ].child.append(Node( 20 ));
root.child[ 1 ].child.append(Node( 61 ));
root.child[ 1 ].child.append(Node( 74 ));
root.child[ 2 ].child.append(Node( 39 ));
root.child[ 3 ].child.append(Node( 17 ));
root.child[ 3 ].child.append(Node( 72 ));
root.child[ 3 ].child.append(Node( 19 ));
# Find the cousins of value value = 39 ;
printCousins(root, value); # This code is contributed by gfgking |
// C# program for the above approach using System;
using System.Collections.Generic;
public class GFG{
// Structure of a node of N-ary tree
class Node {
public int key;
public List<Node> child = new List<Node>();
};
// New node creation
static Node newNode( int key)
{
Node temp = new Node();
temp.key = key;
return temp;
}
// Function to find the cousins of a
// given node in an N-array tree
static void printCousins(Node root, int value)
{
// Base case
if (root == null )
return ;
Queue<Node> q = new Queue<Node>();
q.Enqueue(root);
// If we find the node
// with value as the key
bool found = false ;
int qsize = 0;
Node tempp;
while (q.Count!=0 && !found) {
qsize = q.Count;
while (qsize > 0) {
// Storing the current node
tempp = q.Peek();
q.Dequeue();
// If we have already found
// the value as child of a node,
// we need to insert children of other
// node of same level in the queue
if (found == true ) {
for ( int i = 0; i < tempp.child.Count;
i++) {
if (tempp.child[i] != null )
q.Enqueue(tempp.child[i]);
}
}
// If value is child of tempp node
for ( int i = 0; i < tempp.child.Count; i++)
if (tempp.child[i] != null
&& tempp.child[i].key == value)
found = true ;
// If value is not the child of tempp node
// then insert all the children
// of the tempp node
if (found == false ) {
for ( int i = 0; i < tempp.child.Count;
i++) {
if (tempp.child[i] != null )
q.Enqueue(tempp.child[i]);
}
}
qsize--;
}
}
if (found) {
// Queue will contain the cousins
qsize = q.Count;
if (qsize == 0)
Console.Write( "NA" );
for ( int i = 0; i < qsize; i++) {
tempp = q.Peek();
q.Dequeue();
Console.Write(tempp.key+ " " );
}
}
else {
// When value is not in the tree
Console.Write( "Not Possible" );
}
Console.Write( "\n" );
return ;
}
// Driver Code
public static void Main(String[] args)
{
Node root = newNode(10);
(root.child).Add(newNode(77));
(root.child).Add(newNode(90));
(root.child).Add(newNode(35));
(root.child).Add(newNode(19));
(root.child[0].child).Add(newNode(88));
(root.child[0].child).Add(newNode(98));
(root.child[0].child[1].child)
.Add(newNode(76));
(root.child[0].child[1].child)
.Add(newNode(20));
(root.child[1].child).Add(newNode(61));
(root.child[1].child).Add(newNode(74));
(root.child[2].child).Add(newNode(39));
(root.child[3].child).Add(newNode(17));
(root.child[3].child).Add(newNode(72));
(root.child[3].child).Add(newNode(19));
// Find the cousins of value
int value = 39;
printCousins(root, value);
}
} // This code is contributed by 29AjayKumar |
<script> // JavaScript code for the above approach
// Structure of a node of N-ary tree
class Node {
constructor(k) {
this .key = k;
this .child = [];
}
};
// New node creation
// Function to find the cousins of a
// given node in an N-array tree
function printCousins(root, value) {
// Base case
if (root == null )
return ;
let q = [];
q.push(root);
// If we find the node
// with value as the key
let found = false ;
let qsize = 0;
let tempp;
while (q.length != 0 && found != 1) {
qsize = q.length;
while (qsize != 0) {
// Storing the current node
tempp = q[0];
q.shift();
// If we have already found
// the value as child of a node,
// we need to insert children of other
// node of same level in the queue
if (found == true ) {
for (let i = 0; i < tempp.child.length;
i++) {
if (tempp.child[i] != null )
q.push(tempp.child[i]);
}
}
// If value is child of tempp node
for (let i = 0; i < tempp.child.length; i++)
if (tempp.child[i] != null
&& tempp.child[i].key == value)
found = true ;
// If value is not the child of tempp node
// then insert all the children
// of the tempp node
if (found == false ) {
for (let i = 0; i < tempp.child.length;
i++) {
if (tempp.child[i] != null )
q.push(tempp.child[i]);
}
}
qsize--;
}
}
if (found) {
// Queue will contain the cousins
qsize = q.length;
if (qsize == 0)
document.write( "NA" );
for (let i = 0; i < qsize; i++) {
tempp = q[0];
q.shift();
document.write(tempp.key + " " );
}
}
else {
// When value is not in the tree
document.write( "Not Possible" );
}
document.write( '<br>' )
return ;
}
// Driver Code
let root = new Node(10);
root.child.push( new Node(77));
root.child.push( new Node(90));
root.child.push( new Node(35));
root.child.push( new Node(19));
root.child[0].child.push( new Node(88));
root.child[0].child.push( new Node(98));
root.child[0].child[1].child
.push( new Node(76));
root.child[0].child[1].child
.push( new Node(20));
root.child[1].child.push( new Node(61));
root.child[1].child.push( new Node(74));
root.child[2].child.push( new Node(39));
root.child[3].child.push( new Node(17));
root.child[3].child.push( new Node(72));
root.child[3].child.push( new Node(19));
// Find the cousins of value
let value = 39;
printCousins(root, value);
// This code is contributed by Potta Lokesh </script>
|
Cousins for the element 39: 88 98 61 74 17 72 19
Time Complexity: O(N)
Auxiliary Space: O(N)