Let T be the unique binary tree that satisfies all of the following four constraints: • T contains 4 vertices • The vertex set of V {a,b,c,d} • If we traverse the tree T in in-order, we visit the vertices in the following order: (a,b,c,d) • If we traverse the tree T in post-order, we visit the vertices in the following order: (a,c,d,b) Notice that there exists one and only one binary tree satisfying all of these four constraints. Suppose we traverse the tree T in pre-order. In which order would we visit the four vertices? 1. The first vertex visited in a pre- order is 2. The second vertex visited in a pre- d order is 3. The third vertex visited in a pre- order is a b 4. The fourth vertex visited in a pre- order is > > >

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Let T be the unique binary tree that satisfies all of the following four constraints:
• T contains 4 vertices
• The vertex set of V {a,b,c,d}
• If we traverse the tree T in in-order, we visit the vertices in the following
order: (a,b,c,d)
• If we traverse the tree T in post-order, we visit the vertices in the following
order: (a,c,d,b)
Notice that there exists one and only one binary tree satisfying all of these four
constraints.
Suppose we traverse the tree T in pre-order. In which order would we visit the four
vertices?
1. The first vertex visited in a pre-
order is
C
2. The second vertex visited in a pre-
order is
d
3. The third vertex visited in a pre-
a
order is
b
4 The fourth vertex visited in a pre-
order is
>
>
Transcribed Image Text:Let T be the unique binary tree that satisfies all of the following four constraints: • T contains 4 vertices • The vertex set of V {a,b,c,d} • If we traverse the tree T in in-order, we visit the vertices in the following order: (a,b,c,d) • If we traverse the tree T in post-order, we visit the vertices in the following order: (a,c,d,b) Notice that there exists one and only one binary tree satisfying all of these four constraints. Suppose we traverse the tree T in pre-order. In which order would we visit the four vertices? 1. The first vertex visited in a pre- order is C 2. The second vertex visited in a pre- order is d 3. The third vertex visited in a pre- a order is b 4 The fourth vertex visited in a pre- order is > >
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