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java
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import java.util.*;
public class BPlusTree {
enum Type {
LEAF,
INDEX
}
/* Do not change this class! */
private static class Node {
ArrayList keys;
ArrayList children;
boolean isLeaf;
Node(Type nt) {
isLeaf = nt == Type.LEAF;
keys = new ArrayList<>();
children = new ArrayList<>();
}
// Do not change the toString methods!
private String toString(int depth) {
StringBuilder s = new StringBuilder();
String padding = "";
for (int i = 0; i < depth; i++) {
padding += " ";
}
s.append(padding + (isLeaf ? "LEAF NODE " : "INDEX NODE "));
s.append(padding);
for (int i = 0; i < keys.size(); i++) {
s.append(String.format("key %d = %d, ", i, keys.get(i)));
}
s.deleteCharAt(s.length() - 2);
s.append(" ");
if (!children.isEmpty()) {
for (int i = 0; i < children.size(); i++) {
s.append(padding + "child " + i + " = ");
s.append(children.get(i).toString(depth + 1));
}
}
return s.toString();
}
public String toString() {
return toString(0);
}
}
int order;
Node root;
public BPlusTree(int order) {
this.order = order;
root = new Node(Type.LEAF); // The root is initially a leaf node!
}
/* YOUR CODE HERE
* This is a difficult task to insert into a B+ tree as you have to take into account how and when to split nodes.
* Because of this we have provided some pseudo code for you to implement, as well as a structure of helper methods.
* You are welcome to go off and implement it your own way if you wish. In fact if you finish the lab early we encourage it.
* if insertHelper returns true given (key,root):
* make a new root of type Index
* add the the current root to the children of the new root
* call splitChild to split root, provided that newRoot is now root's parent
* make root be the newRoot
*/
public void insert(int key) {
if (insertHelper(key, root)){
Node newRoot = new Node(Type.INDEX);
newRoot.children.add(0, root);
splitChild(root, newRoot);
root = newRoot;
}
}
/* YOUR CODE HERE
* This is a helper method to the insert. It will be a recursive method going down each index node until it can add
* to a leaf node.
* if the node is a leaf:
* add the key to the keys list of the node
* sort the keys
* return the keys size > order - 1 (if the node should be split)
* else:
* get the key child(hint: use the Method you wrote)
* if insertHelper of key, keyChild:
* split the child (Think about what the parent and child are here)
* return the keys size > order - 1 (if the node should be split)
*
* */
private boolean insertHelper(int key, Node node){
if (node.isLeaf){
node.keys.add(0, key);
node.keys.sort(null);
if (node.keys.size() > (order-1)){
return true;
} else {
return false;
}
} else {
Node keyChild = getKeyChild(key, node);
if (insertHelper(key, keyChild)){
splitChild(keyChild, node);
if (node.keys.size() > (order-1)){
return true;
} else {
return false;
}
} else {
return false;
}
}
}
private Node getKeyChild(int key, Node parent){
return parent.children.get(getFirstIndexGreaterThanKey(parent,key));
}
/* YOUR CODE HERE
* This is a helper function that will allow you to get the first index in the nodes keys list that is greater then the key given
* set the start index to 0;
* for (index is less then node's keys size; add one to the index)
* if the key at the current index is greater then key:
* break
* return index
*
* */
private int getFirstIndexGreaterThanKey(Node node,int key){
int index = 0;
for (int i=0; i<node.keys.size(); i++){
if (node.keys.get(i) > key){
index = i;
break;
}
}
return index;
}
/*YOUR CODE HERE
* This is perhaps the most difficult method of this lab, so we have given you a pretty detailed layout of how to do it. Feel free to come to helpdesk if you have questions.
* NOTE: if you don't want to follow our framework please do not feel like you have to.
* */
private void splitChild(Node child, Node parent) {
int i = child.keys.size()/2;
if (child.isLeaf) { //Splitting Leaf node
//split is going to hold the upper half of child's nodes
Node split = new Node(Type.LEAF);
//TODO: remove the last half of the keys on child and add them to split(hint: remember that this is full so size(child.keys) > order - 1))
while (child.keys.get(i+1) != null){
split.keys.add(child.keys.get(i));
child.keys.remove(i);
}
split.keys.add(child.keys.get(i));
child.keys.remove(i);
//TODO get the index where split node needs to be added to parent's children (hint: getFirstIndexGreaterThenKey)
int firstIndex = getFirstIndexGreaterThanKey(child, split.keys.get(0));
//TODO add first key in split node to parent keys at index
parent.keys.add(firstIndex, split.keys.get(0));
//TODO add split node to children of parent at index +1
parent.children.add(firstIndex+1, split);
} else { //Splitting Index Node
Node split = new Node(Type.INDEX);
//TODO get removedkey from child keys at size/2, this is the middle key of the index node so we push it up opposed to copying it up like in a leaf split
int removedKey = child.keys.get(child.keys.size()/2);
//TODO removed last half of keys and children of child node and add them to split node
while (child.keys.get(i+1) != null){
split.keys.add(child.keys.get(i));
child.keys.remove(i);
}
split.keys.add(child.keys.get(i));
child.keys.remove(i);
// TODO take the pointer of the last child in the 'child' node and move it to the children of the split node(to clarify: this should remove the last child and add it to split)
split.children.add(child.children.get(child.children.size()-1));
child.children.remove(child.children.get(child.children.size()-1));
//TODO get index where the split node to be added to parent(hint: getFirstIndexGreaterThanKey)
int index = getFirstIndexGreaterThanKey(parent, removedKey);
//TODO add removed key to parent keys at index
parent.keys.add(index, removedKey);
//TODO add split node to children of parent at index +1
parent.children.add(index+1, split);
}
}
// For debugging purposes.
public String toString() {
return root.toString();
}
public static void main(String[] args) {
BPlusTree bpt = new BPlusTree(5);
bpt.insert(18);
bpt.insert(23);
bpt.insert(17);
bpt.insert(2);
// If you're having trouble, it's typically a good idea to check the
// state of the tree after a few inserts.
// Feel free to print the tree whenever you want, by invoking
// System.out.println(bpt);
bpt.insert(26);
bpt.insert(5);
bpt.insert(1);
bpt.insert(8);
bpt.insert(20);
bpt.insert(4);
bpt.insert(16);
bpt.insert(10);
bpt.insert(9);
bpt.insert(0);
bpt.insert(11);
bpt.insert(15);
bpt.insert(19);
bpt.insert(13);
bpt.insert(7);
bpt.insert(25);
System.out.println(bpt);
}
}
//test
import java.util.Scanner;
import java.util.*;
public class BPlusTest {
public static void main(String[] args) {
Scanner scnr = new Scanner(System.in);
int testNum =0;
if(scnr.hasNextInt()){
testNum = scnr.nextInt();
}else{
System.out.println("Enter a test number to run.");
}
if(testNum == 1){
BPlusTree bpt = new BPlusTree(5);
bpt.insert(18);
bpt.insert(23);
bpt.insert(17);
bpt.insert(2);
bpt.insert(26);
bpt.insert(5);
bpt.insert(1);
bpt.insert(8);
bpt.insert(20);
bpt.insert(4);
bpt.insert(16);
bpt.insert(10);
bpt.insert(9);
bpt.insert(0);
bpt.insert(11);
bpt.insert(15);
bpt.insert(19);
bpt.insert(13);
bpt.insert(7);
bpt.insert(25);
System.out.println(bpt);
}
if(testNum == 2){
BPlusTree bpt2 = new BPlusTree(5);
bpt2.insert(19);
bpt2.insert(24);
bpt2.insert(18);
bpt2.insert(3);
bpt2.insert(25);
bpt2.insert(6);
bpt2.insert(2);
bpt2.insert(9);
bpt2.insert(21);
bpt2.insert(5);
bpt2.insert(17);
bpt2.insert(11);
bpt2.insert(10);
bpt2.insert(1);
bpt2.insert(12);
bpt2.insert(16);
bpt2.insert(20);
bpt2.insert(14);
bpt2.insert(8);
bpt2.insert(26);
bpt2.insert(35);
bpt2.insert(40);
bpt2.insert(7);
System.out.println(bpt2);
}
if(testNum == 3){
BPlusTree bpt3 = new BPlusTree(3);
bpt3.insert(19);
bpt3.insert(30);
bpt3.insert(18);
bpt3.insert(3);
bpt3.insert(28);
bpt3.insert(6);
bpt3.insert(2);
bpt3.insert(9);
bpt3.insert(12);
bpt3.insert(16);
bpt3.insert(20);
System.out.println(bpt3);
}
}
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