Given a binary tree, a target node in the binary tree, and an integer value k, find all the nodes that are at distance k from the given target node. No parent pointers are available. - Codeprg

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Wednesday 15 July 2020

Given a binary tree, a target node in the binary tree, and an integer value k, find all the nodes that are at distance k from the given target node. No parent pointers are available.

Given a binary tree, a target node in the binary tree, and an integer value k, find all the nodes that are at distance k from the given target node

Given a binary tree, a target node in the binary tree, and an integer value k, find all the nodes that are at distance k from the given target node. No parent pointers are available.

All the space-separated nodes that are at distance k from the given target node in sorted order.

Example:
Input:

2
20 8 22 4 12 N N N N 10 14
8
2
20 7 24 4 3 N N N N 1
7
2

Output:
10 14 22 
1 24

Explanation:
Testcase 1:

we can observe that the target node is 8,  and nodes that are at k distant from this target node are 10, 14, and 22.



// { Driver Code Starts

#include<bits/stdc++.h>

using namespace std;


// Tree Node

struct Node

{

    int data;

    Node* left;

    Node* right;

};


// Utility function to create a new Tree Node

Node* newNode(int val)

{

    Node* temp = new Node;

    temp->data = val;

    temp->left = NULL;

    temp->right = NULL;

    

    return temp;

}


// Function to Build Tree

Node* buildTree(string str)

{   

    // Corner Case

    if(str.length() == 0 || str[0] == 'N')

            return NULL;

    

    // Creating vector of strings from input 

    // string after spliting by space

    vector<string> ip;

    

    istringstream iss(str);

    for(string str; iss >> str; )

        ip.push_back(str);

        

    // Create the root of the tree

    Node* root = newNode(stoi(ip[0]));

        

    // Push the root to the queue

    queue<Node*> queue;

    queue.push(root);

        

    // Starting from the second element

    int i = 1;

    while(!queue.empty() && i < ip.size()) {

            

        // Get and remove the front of the queue

        Node* currNode = queue.front();

        queue.pop();

            

        // Get the current node's value from the string

        string currVal = ip[i];

            

        // If the left child is not null

        if(currVal != "N") {

                

            // Create the left child for the current node

            currNode->left = newNode(stoi(currVal));

                

            // Push it to the queue

            queue.push(currNode->left);

        }

            

        // For the right child

        i++;

        if(i >= ip.size())

            break;

        currVal = ip[i];

            

        // If the right child is not null

        if(currVal != "N") {

                

            // Create the right child for the current node

            currNode->right = newNode(stoi(currVal));

                

            // Push it to the queue

            queue.push(currNode->right);

        }

        i++;

    }

    

    return root;

}



 // } Driver Code Ends



/* A binary Tree node

struct Node

{

    int data;

    struct Node *left, *right;

};

*/


class solver

{

private:


public:

    vector<int> v;

    void finddown(Node *root,int k)

    {

        if(root==NULL||k<0)

        return;

        if(k==0)

        v.push_back(root->data);

        finddown(root->left,k-1);

        finddown(root->right,k-1);

        

        

    }

    int findtarget(Node * root,int target,int k)

    {

        if(root==NULL || k<0)

        return -1;

        if(root->data==target)

        {

            finddown(root,k);

            return 0;

        }

        

        int dl=findtarget(root->left,target,k);

        if(dl!=-1)

        {

            if(dl+1==k)

            {

                v.push_back(root->data);

                

            }else{

                finddown(root->right,k-dl-2);

            }

            return dl+1;

        }

        

         int dr=findtarget(root->right,target,k);

        if(dr!=-1)

        {

            if(dr+1==k)

            {

                v.push_back(root->data);

                

            }else{

                finddown(root->left,k-dr-2);

            }

            return dr+1;

        }

        

    }

    vector <int> KDistanceNodes(Node* root, int target , int k)

    {

        // return the sorted vector of all nodes at k dist

        v.clear();

        findtarget(root,target,k);

          sort(v.begin(),v.end());

          return v;

    }

};


// { Driver Code Starts.


int main()

{

    int t;

    cin>>t;

    getchar();

    

    solver x = solver();

    

    while(t--)

    {

        string s;

        getline(cin,s);

        Node* head = buildTree(s);

        

        int target, k;

        cin>> target >> k;

        getchar();

        

        vector <int> res = x.KDistanceNodes(head, target, k);

        

        for( int i=0; i<res.size(); i++ )

            cout<< res[i] << " ";

        cout<<endl;

    }

    return 0;

}

  // } Driver Code Ends