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Two search algorithms for a tree, three implementations
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import java.util.ArrayList; | |
import java.util.HashSet; | |
import java.util.LinkedList; | |
import java.util.List; | |
import java.util.Queue; | |
import java.util.Set; | |
import java.util.Stack; | |
public class Tree { | |
public List<Node> depthFirstSearchIterative(Node root) { | |
List<Node> results = new ArrayList<>(); | |
Stack<Node> stack = new Stack<Node>(); | |
Set<Node> visited = new HashSet<>(); | |
stack.add(root); | |
// each loop pop one node starting from root. | |
// for not visited, we add nodes into stack; | |
// for visited(means all Children and itself already in the stack), we just add this node into results. | |
while(!stack.isEmpty()) { | |
Node node = stack.pop(); | |
if (!visited.contains(node)) { | |
visited.add(node); | |
stack.push(node); // push node back with "visited" flagged. Ready to add to "results"! | |
for (Node child : node.getChildren()) { // push its children | |
stack.push(child); | |
} | |
} else { // add into results | |
results.add(node); // the parent will be popped after child. so it is a post-order. | |
} | |
} | |
return results; | |
} | |
// For DFS, Recursive is easier. loop until no child found(reach the end). | |
public List<Node> depthFirstSearchRecursive(Node root) { | |
List<Node> results = new ArrayList<>(); | |
for (Node child : root.getChildren()) { | |
results.addAll(depthFirstSearchRecursive(child)); // Recursive. add its children firstly | |
} | |
results.add(root); // then add itself. so it is post-order | |
return results; | |
} | |
// For BFS, Iteration is easier. loop until queue empty. | |
public List<Node> breadthFirstSearch(Node root) { | |
List<Node> results = new ArrayList<>(); | |
Queue<Node> queue = new LinkedList<Node>(); | |
queue.add(root); | |
while(!queue.isEmpty()) { | |
Node node = queue.remove(); | |
results.add(node); | |
queue.addAll(node.getChildren()); // for leaf node, append nothing and eventually all the nodes in queue get consumed. | |
} | |
return results; | |
} | |
public static class Node { | |
private Object value; | |
private List<Node> children = new ArrayList<>(); | |
public Node(Object value) { | |
this.value = value; | |
} | |
public void addChild(Node child) { | |
children.add(child); | |
} | |
public List<Node> getChildren() { | |
return children; | |
} | |
@Override | |
public String toString() { | |
return value.toString(); | |
} | |
} | |
int getLongestPathLength(Node node) { | |
if (node == null) return 0; | |
int max = 0; | |
for (Node child : node.children) { | |
max = Math.max(getLongestPathLength(child), max); | |
} | |
return 1 + max; | |
} | |
public static void main(String[] args) { | |
Tree tree = new Tree(); | |
Node root = new Node("home"); | |
Node documents = new Node("documents"); | |
root.addChild(documents); | |
documents.addChild(new Node("tax_return_2015.pdf")); | |
documents.addChild(new Node("sales_receipt.pdf")); | |
documents.addChild(new Node("christmas_list.txt")); | |
Node pictures = new Node("pictures"); | |
root.addChild(pictures); | |
Node kids = new Node("kids"); | |
pictures.addChild(kids); | |
kids.addChild(new Node("baby.jpg")); | |
kids.addChild(new Node("vacation.jpg")); | |
pictures.addChild(new Node("silly.gif")); | |
// -> home | |
// -> pictures | |
// -> silly.gif | |
// -> kids | |
// -> baby.jpg | |
// -> vacation.jpg | |
// -> documents | |
// -> tax_return_2015.pdf | |
// -> sales_receipt.pdf | |
// -> christmas_list.txt | |
System.out.println("DFS iterative : " + tree.depthFirstSearchIterative(root)); | |
System.out.println("DFS recursive : " + tree.depthFirstSearchRecursive(root)); | |
System.out.println("BFS iterative : " + tree.breadthFirstSearch(root)); | |
/** Results: | |
* DFS iterative : [silly.gif, vacation.jpg, baby.jpg, kids, pictures, christmas_list.txt, sales_receipt.pdf, tax_return_2015.pdf, documents, home] | |
* DFS recursive : [tax_return_2015.pdf, sales_receipt.pdf, christmas_list.txt, documents, baby.jpg, vacation.jpg, kids, silly.gif, pictures, home] | |
* BFS iterative : [home, documents, pictures, tax_return_2015.pdf, sales_receipt.pdf, christmas_list.txt, kids, silly.gif, baby.jpg, vacation.jpg] | |
*/ | |
} | |
} |
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