For example, given a binary search tree, we need to reverse its path from a specific key.
In this method we will create a queue and push all the nodes , until the root node is obtained.
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#include <bits/stdc++.h> using namespace std; struct node { int key; struct node *left, *right; }; struct node* newNode(int item){ struct node* temp = new node; temp->key = item; temp->left = temp->right = NULL; return temp; } void inorder(struct node* root){ if (root != NULL) { inorder(root->left); cout << root->key << " "; inorder(root->right); } } void Reversing(struct node** node, int& key, queue<int>& q1){ /* If the tree is empty then return*/ if (node == NULL) return; if ((*node)->key == key){ // if we find the key q1.push((*node)->key); // we push it into our queue (*node)->key = q1.front(); // we change the first queue element with current q1.pop(); // we pop the first element } else if (key < (*node)->key){ // if key is less than current node's value q1.push((*node)->key); // we push the element in our queue Reversing(&(*node)->left, key, q1); //we go to the left subtree using a recursive call (*node)->key = q1.front(); //we reverse the elements q1.pop(); // we pop the first element } else if (key > (*node)->key){ // if key greater than node key then q1.push((*node)->key);// we push node key into queue Reversing(&(*node)->right, key, q1);// we go to right subtree using a recursive call (*node)->key = q1.front();// replace queue front to node key q1.pop(); // we pop the first element } return; } struct node* insert_node(struct node* node, // function to insert node nodes in our BST int key){ if (node == NULL) return newNode(key); // if tree is empty we return a new node if (key < node->key) // else we push that in our tree node->left = insert_node(node->left, key); else if (key > node->key) node->right = insert_node(node->right, key); return node; // returning the node } int main(){ struct node* root = NULL; queue<int> q1; int k = 80; /****************Creating the BST*************************/ root = insert_node(root, 50); insert_node(root, 30); insert_node(root, 20); insert_node(root, 40); insert_node(root, 70); insert_node(root, 60); insert_node(root, 80); cout << "Before Reversing :" << "\n"; inorder(root); cout << "\n"; Reversing(&root, k, q1); cout << "After Reversing :" << "\n"; // print inorder of reverse path tree inorder(root); return 0; }
Before Reversing : 20 30 40 50 60 70 80 After Reversing : 20 30 40 80 60 70 50
In this method we just search for the given key. When we traverse the tree, we put all the nodes into a queue, now when we find the node with the key value, we swap the values of all the path nodes that came before, in this process, our path
We solved the problem of reversing paths in BST using queues and recursion. We also learned the C program for this problem and the complete method (general) to solve it. We can write the same program in other languages such as C, java, python and other languages. We hope you found this tutorial helpful.
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