Assume you are given “preorder” and “inorder” traversal result of a Binary Tree. Write an algorithm (pseudocode) that constructs the Binary Tree.
For example, you can start with the Pre-Order and In-Order traversal of the same tree given below.
Pre-Order = 80, 50, 10, 70, 100
In-Order = 10, 50, 70, 80, 100
Pre-Order traversal moves like root left right of the tree.
In-Order traversal moves like left root right of the tree.
To generate the binary tree from the given Pre-Order and In-Order traversal, the steps are as follows:
Pseudocode:
construct_tree(in_order, pre_order, start, stop):
find(in_order, start, stop, data):
Pre_Order = 80, 50, 10, 70, 100
In_Order = 10, 50, 70, 80, 100
Traversing each element of Pre_Order, the first element is 80. 80 will become the root of the tree. And find the position of 80 in In_Order. The position is 4. All elements before 80, from positions 1 to 3 (10, 50, 70) are left subtree and position 5 (100) will be right sub-tree.
The next element in Pre_Order is 50. 50 will be the root. And find the position of 50 from In_Order, which is 2. The left element is 10 and the right element is 70.
The next element in Pre_Order is 10. There are no left and right nodes in In_Order and move to the next element of Pre_Order. The remaining nodes 70, 100 have no left and right nodes in In_Order.
The above tree is the resultant tree.
Assume you are given “preorder” and “inorder” traversal result of a Binary Tree. Write an algorithm...
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