What is the binary tree of "DEBFCA"?
- D is the root, with B as the left child and F as the right child. B has E as the left child and C as the right child, and F has A as the left child
- D is the root, with B as the left child and C as the right child. B has E as the left child and F as the right child, and C has A as the right child
- D is the root, with E as the left child and F as the right child. E has B as the left child and C as the right child, and F has A as the left child
- D is the root, with F as the left child and B as the right child. F has A as the left child and C as the right child, and B has E as the left child
Explanation
To determine the binary tree from "DEBFCA," we must assume that this represents a preorder traversal of the tree, where the nodes are visited in the order: Root → Left Subtree → Right Subtree.
In this case, "D" is the root.
Then, based on the rest of the sequence, we build the tree.
Steps:
D is the root.
E appears after D, so it must be part of the left subtree.
B is after E, indicating that B is part of E's left subtree.
F comes after B, implying it belongs to the right subtree of D.
C appears next, suggesting it is part of B's right subtree.
A is the last, indicating it's the left child of F.
Thus, the tree is:
D is the root.
E is the left child, and F is the right child.
B is the left child of E, and C is the right child of E.
A is the left child of F.
Correct Option:
Option 3:
"D is the root, with E as the left child and F as the right child. E has B as the left child and C as the right child, and F has A as the left child."
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