// { 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;
}
void btWithKleaves(struct Node *ptr, int k);
int main()
{
int t;
cin>>t;
getchar();
while(t--)
{
int k;
cin>>k;
getchar();
string s;
getline(cin, s);
Node* root = buildTree(s);
btWithKleaves(root,k);
}
return 1;
}
// } Driver Code Ends
/*The Node is defined as follows:
struct Node
{
int data ;
struct Node * left, * right ;
};
*/
/*You are required to complete below method */
string s;
int findNode(Node *root,int k){
if(!root)
return 0;
int left=findNode(root->left,k);
int right=findNode(root->right,k);
if(left+right==k)
s+=to_string(root->data)+" ";
if(!left and !right){
//is Leaf Node
return 1;
}
else{
return left+right;
}
}
void btWithKleaves(Node *ptr, int k)
{
s.clear();
findNode(ptr,k);
if(s.empty())
cout<<"-1"<<endl;
else
cout<<s<<endl;
}