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Intro to

Trees

and Searching

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Trees

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Constructor:

- storage

- root

Methods:

• insert(key): This inserts a new key in the tree

• search(key): This searches for the key in the tree and returns true if it exists and returns false if the node doesn't

• min/max: This returns the min or max value/key in the tree

• remove(key): This removes the key from the tree

Interface: Trees

Concept: Linked Lists

A linked list is a tree structure with only one child per node.

Each node in the list contains:

1. Stored data -- a node value
2. Stored reference -- a link -- to the next item in the list

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Diagram: Linked List

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Diagram: Adding an Item

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Diagram: Removal

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1. Constructor Function

  - storage

  - head

 

2. Methods

  - .addToTail(val) //adds node to tail

  - .remove(node) //removes node from list & returns it

 

Interface: Linked List

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Pseudocode: Linked List

//Constructor

//Add to tail

//Remove node

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Pseudocode: Tree

//Constructor

//Add a child

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Adding nodes: O(1)*

Removing nodes: O(1)*

Searching: O(n)

 

 

 

*when you have a reference to the node.

Time Complexity

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Fast addition

Fast removal

Linked List

Slow look-up without reference to the node

Pros

Cons

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Linked List Exercise

Create a scavenger hunt game using a Linked List. 

 

Let's discuss how you think we may go about doing that before diving in.

Exercise Time!

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