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Problem statementYou are given a binary tree having nodes in string format.The boundary nodes of a binary tree include the nodes from the left and right boundaries and the leaf nodes, each node considered once.Figure out the boundary nodes of this binary tree in an Anti-Clockwise direction starting from the root node.Input format :List of numbers in string formatOutput format :Boundary nodes of a given binary treeSample test cases :Input 1 :3 4 5 6 7 8 9 10Output 1 :3 4 6 10 7 8 9 5

Question

Problem statementYou are given a binary tree having nodes in string format.The boundary nodes of a binary tree include the nodes from the left and right boundaries and the leaf nodes, each node considered once.Figure out the boundary nodes of this binary tree in an Anti-Clockwise direction starting from the root node.Input format :List of numbers in string formatOutput format :Boundary nodes of a given binary treeSample test cases :Input 1 :3 4 5 6 7 8 9 10Output 1 :3 4 6 10 7 8 9 5

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Solution

The problem statement is asking to find the boundary nodes of a binary tree in an anti-clockwise direction starting from the root node. The boundary nodes include the nodes from the left and right boundaries and the leaf nodes, each node considered once. The input is a list of numbers in string format representing the nodes of the binary tree. The output should be the boundary nodes of the binary tree.

Here are the steps to solve this problem:

  1. First, we need to construct the binary tree from the given list of numbers. We can do this by inserting the numbers one by one into the binary tree.

  2. After constructing the binary tree, we can find the boundary nodes by traversing the tree in a specific order. We start from the root node and move in an anti-clockwise direction.

  3. We first print the root node, then we print the left boundary nodes from top to bottom, then we print the leaf nodes from left to right, and finally we print the right boundary nodes from bottom to top.

  4. To print the left boundary nodes, we can use a simple recursive function that first checks if the node has a left child, if it does, it prints the node and calls the function for the left child. If the node does not have a left child but has a right child, it prints the node and calls the function for the right child.

  5. To print the leaf nodes, we can use another recursive function that checks if the node is a leaf node (i.e., it does not have any children), if it is, it prints the node. If the node is not a leaf node, the function calls itself for the left child and then for the right child.

  6. To print the right boundary nodes, we can use a similar function to the one used for the left boundary nodes, but this time we first check if the node has a right child, if it does, it calls the function for the right child and then prints the node. If the node does not have a right child but has a left child, it calls the function for the left child and then prints the node.

  7. After printing all the boundary nodes, we have solved the problem.

This problem has been solved

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