CS 125: Practice with Recursion (Java)
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Tree Depth
Tree Node Count
Binary Search Tree
Homework: Binary Tree Search Path
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Kotlin : 08/04/2021
Streams : 08/04/2021
Generics : 08/03/2021
Binary Search : 08/03/2021
Sorting Review : 07/30/2021
Quicksort : 07/30/2021
Merge Sort : 07/29/2021
Sorting Algorithms : 07/29/2021
Practice with Recursion : 07/28/2021
Trees and Recursion : 07/28/2021
Trees : 07/27/2021
Recursion : 07/26/2021
Working with Exceptions : 07/23/2021
Throwing Exceptions : 07/23/2021
Catching Exceptions : 07/23/2021
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Testing 2 : 07/19/2021
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Practice with Interfaces : 07/14/2021
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Welcome to CS 125 : 06/14/2021
Practice with Recursion
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import cs125.trees.BinaryTree;
int treeDepth(BinaryTree tree) {
return 0;
}
assert treeDepth(new BinaryTree
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Guess what?
In this lesson we’ll be doing more practice with binary trees!
And recursion!
What could be more fun?
Tree Depth
As a warm up let’s write a recursive function to determine the depth or height of a tree.
As a reminder, the depth is defined as the distance from the root node to the farthest leaf node.
(The depth is not defined for a empty tree, since it has no root.)
Show how to compute the depth of a tree.
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// Tree Depth
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Interactive Walkthrough
Click on an icon below to start!
Tree Node Count
Next, let’s look at an example of a recursive function that passes another data structure around.
We’ll write a recursive method that returns a map that counts the number of times that each value appears in the tree.
This will also prepare you for our next homework problem—which is a tricky one!
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// Tree Value Count
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Interactive Walkthrough
Click on an icon below to start!
Binary Search Tree
Finally, let’s look again at the problem of locating a node in a binary tree.
We’ll start with code from our previous answer, redesign it to be more efficient, and then analyze the performance of our new approach.
Repeat the findValue method in this somewhat different context.
Next, modify the tree to be more efficient by modifying add and then exploiting that in findValue.
(At that point the tree should store Comparables, not Objects.)
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import java.util.Random;
// Binary Search Tree
public class BinaryTree {
private Object value;
private BinaryTree right;
private BinaryTree left;
private Random random = new Random();
public BinaryTree(Object setValue) {
value = setValue;
}
public BinaryTree(Object[] values) {
assert values.length > 0;
value = values[0];
for (int i = 1; i < values.length; i++) {
add(values[i]);
}
}
private void add(Object newValue) {
if (random.nextBoolean()) {
if (right == null) {
right = new BinaryTree(newValue);
} else {
right.add(newValue);
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Interactive Walkthrough
Click on an icon below to start!
Homework: Binary Tree Search Path
Let's continue exploring recursion on binary trees. However, this problem takes a significant step forward in
difficulty, so be prepared!
We've provided a public class BinaryTreePath with a single class method pathToValue.
pathToValue accepts a BinaryTree as its first parameter and an Object as its second.
It returns a List
Good luck and have fun!
This problem deadline has passed, but you can continue to practice. Experiment! You will not lose credit.
Homework Restricted to Current CS 125 Students
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import cs125.trees.BinaryTree;
import java.util.ArrayList;
import java.util.List;
public class BinaryTreePath {
public static List
private static boolean pathToValue(BinaryTree tree, Object value, List
return false;
}
}
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Show how to complete the homework problem above. Feel free to cover multiple approaches!
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