Given a binary search tree and a key, your task to reverse path of the binary tree.
Prerequisite : Reverse path of Binary tree
Examples :
Input : 50
/
30 70
/ /
20 40 60 80
k = 70
Output :
Inorder before reversal :
20 30 40 50 60 70 80
Inorder after reversal :
20 30 40 70 60 50 80
Input : 8
/
3 10
/
1 6 14
/ /
4 7 13
k = 13
Output :
Inorder before reversal :
1 3 4 6 7 8 10 13 14
Inorder after reversal :
1 3 4 6 7 13 14 10 8
Approach :
Take a queue and push all the element till that given key at the end replace node key with queue front element till root, then print inorder of the tree.
Below is the implementation of above approach :
C++
// CPP code to demonstrate insert // operation in binary search tree #include <bits/stdc++.h> using namespace std; struct node { int key; struct node *left, *right; }; // A utility function to // create a new BST node struct node* newNode(int item) { struct node* temp = new node; temp->key = item; temp->left = temp->right = NULL; return temp; } // A utility function to // do inorder traversal of BST void inorder(struct node* root) { if (root != NULL) { inorder(root->left); cout << root->key << " "; inorder(root->right); } } // reverse tree path using queue void reversePath(struct node** node, int& key, queue<int>& q1) { /* If the tree is empty, return a new node */ if (node == NULL) return; // If the node key equal // to key then if ((*node)->key == key) { // push current node key q1.push((*node)->key); // replace first node // with last element (*node)->key = q1.front(); // remove first element q1.pop(); // return return; } // if key smaller than node key then else if (key < (*node)->key) { // push node key into queue q1.push((*node)->key); // recusive call itself reversePath(&(*node)->left, key, q1); // replace queue front to node key (*node)->key = q1.front(); // performe pop in queue q1.pop(); } // if key greater than node key then else if (key > (*node)->key) { // push node key into queue q1.push((*node)->key); // recusive call itself reversePath(&(*node)->right, key, q1); // replace queue front to node key (*node)->key = q1.front(); // performe pop in queue q1.pop(); } // return return; } /* A utility function to insert a new node with given key in BST */struct node* insert(struct node* node, int key) { /* If the tree is empty, return a new node */ if (node == NULL) return newNode(key); /* Otherwise, recur down the tree */ if (key < node->key) node->left = insert(node->left, key); else if (key > node->key) node->right = insert(node->right, key); /* return the (unchanged) node pointer */ return node; } // Driver Program to test above functions int main() { /* Let us create following BST 50 / 30 70 / / 20 40 60 80 */ struct node* root = NULL; queue<int> q1; // reverse path till k int k = 80; root = insert(root, 50); insert(root, 30); insert(root, 20); insert(root, 40); insert(root, 70); insert(root, 60); insert(root, 80); cout << "Before Reverse :" << endl; // print inoder traversal of the BST inorder(root); cout << "
"; // reverse path till k reversePath(&root, k, q1); cout << "After Reverse :" << endl; // print inorder of reverse path tree inorder(root); return 0; } |
Python3
# Python3 code to demonstrate insert
# operation in binary search tree
class Node:
# Constructor to create a new node
def __init__(self, data):
self.key = data
self.left = None
self.right = None
# A utility function to
# do inorder traversal of BST
def inorder(root):
if root != None:
inorder(root.left)
print(root.key, end = ” “)
inorder(root.right)
# reverse tree path using queue
def reversePath(node, key, q1):
# If the tree is empty,
# return a new node */
if node == None:
return
# If the node key equal
# to key then
if node.key == key:
# push current node key
q1.insert(0, node.key)
# replace first node
# with last element
node.key = q1[-1]
# remove first element
q1.pop()
# return
return
# if key smaller than node key then
elif key < node.key:
# push node key into queue
q1.insert(0, node.key)
# recusive call itself
reversePath(node.left, key, q1)
# replace queue front to node key
node.key = q1[-1]
# performe pop in queue
q1.pop()
# if key greater than node key then
elif (key > node.key):
# push node key into queue
q1.insert(0, node.key)
# recusive call itself
reversePath(node.right, key, q1)
# replace queue front to node key
node.key = q1[-1]
# performe pop in queue
q1.pop()
# return
return
# A utility function to insert
#a new node with given key in BST */
def insert(node, key):
# If the tree is empty,
# return a new node */
if node == None:
return Node(key)
# Otherwise, recur down the tree */
if key < node.key:
node.left = insert(node.left, key)
elif key > node.key:
node.right = insert(node.right, key)
# return the (unchanged) node pointer */
return node
# Driver Code
if __name__ == ‘__main__’:
# Let us create following BST
# 50
# /
# 30 70
# / /
# 20 40 60 80 */
root = None
q1 = []
# reverse path till k
k = 80;
root = insert(root, 50)
insert(root, 30)
insert(root, 20)
insert(root, 40)
insert(root, 70)
insert(root, 60)
insert(root, 80)
print(“Before Reverse :”)
# print inoder traversal of the BST
inorder(root)
# reverse path till k
reversePath(root, k, q1)
print()
print(“After Reverse :”)
# print inorder of reverse path tree
inorder(root)
# This code is contributed by PranchalK
Before Reverse : 20 30 40 50 60 70 80 After Reverse : 20 30 40 80 60 70 50
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