Explains the binary tree structure, and gives a sample implementation in Java, along with example tree algorithms.
Up until now, we have been organizing data in a "linear" fashion: one item after another. The corresponding data structures are the immutable scheme list (
IList ) and the mutable linear recursive structure (
LRStruct ). Now, suppose we want to model something like the following organization chart.
A structure of data such as the above is called a
tree . We first design a special kind of
mutable tree structure called binary trees.
1. binary tree object model
Binary Tree
A (mutable) binary tree,
BiTree , can be in an empty state or a non-empty state:
When it is empty, it contains no data.
When it is not empty, it contains a data object called the root element, and 2 distinct
BiTree objects called the left subtree and the right subtree.
We implement the above object structure with a combination of state/composite/visitor patterns, in a manner analogous to
LRStruct .
The code for
BiTree is trivial, as it simply delegates most calls to its state, the root node. The real work is done in the state. The code for
EmptyNode and
DatNode for the most part are equally trivial. The insertion and removal of the root data of a
BiTree require some work and need some explanation. When does it make sense to remove the root node from a (binary) tree? That is, when can one unambiguously remove the root node from a binary tree?
Clearly, when both subtrees of a root node are non-empty, then removing the root node is problematic. However, it makes sense to allow root removal when at least one of the subtrees is empty. Suppose one of the subtrees is empty, then
BiTree.remRoot() will change the state of this BiTree to the state of the other subtree. For example, when the left subtree is empty, root removal of the parent tree will set the parent tree to its right subtree.
3. the best tree printing algorithm in texas
Consider the binary tree displayed in the following "horizontal" manner:
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
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Source:
OpenStax, Principles of object-oriented programming. OpenStax CNX. May 10, 2013 Download for free at http://legacy.cnx.org/content/col10213/1.37
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