mirror of
https://github.com/TheAlgorithms/Java.git
synced 2025-07-15 01:40:49 +08:00
@ -1,16 +1,15 @@
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/**
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*
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*
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*/
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package heaps;
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package Heaps;
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/**
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* @author Nicolas Renard
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* Exception to be thrown if the getElement method is used on an empty heap.
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*
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*/
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@SuppressWarnings("serial")
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public class EmptyHeapException extends Exception {
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public EmptyHeapException(String message) {
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super(message);
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}
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|
@ -1,4 +1,4 @@
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package heaps;
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package Heaps;
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/**
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* Interface common to heap data structures.<br>
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@ -10,32 +10,31 @@ package heaps;
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* max-heap).</p>
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* <p>All heap-related operations (inserting or deleting an element, extracting the min or max) are performed in
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* O(log n) time.</p>
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*
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* @author Nicolas Renard
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*
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*
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*/
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public interface Heap {
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/**
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*
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* @return the top element in the heap, the one with lowest key for min-heap or with
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* the highest key for max-heap
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* @throws Exception if heap is empty
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* @throws EmptyHeapException if heap is empty
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*/
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public abstract HeapElement getElement() throws EmptyHeapException;
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HeapElement getElement() throws EmptyHeapException;
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/**
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* Inserts an element in the heap. Adds it to then end and toggle it until it finds its
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* right position.
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*
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*
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* @param element an instance of the HeapElement class.
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*/
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public abstract void insertElement(HeapElement element);
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void insertElement(HeapElement element);
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/**
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* Delete an element in the heap.
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*
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*
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* @param elementIndex int containing the position in the heap of the element to be deleted.
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*/
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public abstract void deleteElement(int elementIndex);
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void deleteElement(int elementIndex);
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}
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}
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@ -1,7 +1,7 @@
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/**
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*
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*
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*/
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package heaps;
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package Heaps;
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import java.lang.Double;
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import java.lang.Object;
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@ -12,116 +12,110 @@ import java.lang.Object;
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* or double, either primitive type or object) and any kind of IMMUTABLE object the user sees fit
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* to carry any information he/she likes. Be aware that the use of a mutable object might
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* jeopardize the integrity of this information. </p>
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* @author Nicolas Renard
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*
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* @author Nicolas Renard
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*/
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public class HeapElement {
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private final double key;
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private final Object additionalInfo;
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// Constructors
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/**
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*
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* @param key : a number of primitive type 'double'
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* @param key : a number of primitive type 'double'
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* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
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* additional information of use for the user
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* additional information of use for the user
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*/
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public HeapElement(double key, Object info) {
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this.key = key;
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this.additionalInfo = info;
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}
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|
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/**
|
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*
|
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* @param key : a number of primitive type 'int'
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* @param key : a number of primitive type 'int'
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* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
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* additional information of use for the user
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* additional information of use for the user
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*/
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public HeapElement(int key, Object info) {
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this.key = key;
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this.additionalInfo = info;
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}
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|
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/**
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*
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* @param key : a number of object type 'Integer'
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* @param key : a number of object type 'Integer'
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* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
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* additional information of use for the user
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* additional information of use for the user
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*/
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public HeapElement(Integer key, Object info) {
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this.key = key;
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this.additionalInfo = info;
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}
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/**
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*
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* @param key : a number of object type 'Double'
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* @param key : a number of object type 'Double'
|
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* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
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* additional information of use for the user
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* additional information of use for the user
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*/
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public HeapElement(Double key, Object info) {
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this.key = key;
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this.additionalInfo = info;
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}
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/**
|
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*
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* @param key : a number of primitive type 'double'
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*/
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public HeapElement(double key) {
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this.key = key;
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this.additionalInfo = null;
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}
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|
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/**
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*
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* @param key : a number of primitive type 'int'
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*/
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public HeapElement(int key) {
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this.key = key;
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this.additionalInfo = null;
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}
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|
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/**
|
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*
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* @param key : a number of object type 'Integer'
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*/
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public HeapElement(Integer key) {
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this.key = key;
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this.additionalInfo = null;
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}
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/**
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*
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* @param key : a number of object type 'Double'
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*/
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public HeapElement(Double key) {
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this.key = key;
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this.additionalInfo = null;
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}
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// Getters
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/**
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* @return the object containing the additional info provided by the user.
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*/
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public Object getInfo() {
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return additionalInfo;
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}
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/**
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* @return the key value of the element
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*/
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public double getKey() {
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return key;
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}
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// Overridden object methods
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public String toString() {
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return "Key: " + key + " - " +additionalInfo.toString();
|
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return "Key: " + key + " - " + additionalInfo.toString();
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}
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/**
|
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*
|
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* @param otherHeapElement
|
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* @return true if the keys on both elements are identical and the additional info objects
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* are identical.
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|
@ -1,4 +1,4 @@
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package heaps;
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package Heaps;
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import java.util.ArrayList;
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import java.util.List;
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@ -6,66 +6,71 @@ import java.util.List;
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/**
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* Heap tree where a node's key is higher than or equal to its parent's and lower than or equal
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* to its children's.
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* @author Nicolas Renard
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*
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||||
* @author Nicolas Renard
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*/
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public class MaxHeap implements Heap {
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private final List<HeapElement> maxHeap;
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public MaxHeap(List<HeapElement> listElements) throws Exception {
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maxHeap = new ArrayList<HeapElement>();
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public MaxHeap(List<HeapElement> listElements) {
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maxHeap = new ArrayList<>();
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for (HeapElement heapElement : listElements) {
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if (heapElement != null) insertElement(heapElement);
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else System.out.println("Null element. Not added to heap");
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}
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if (maxHeap.size() == 0) System.out.println("No element has been added, empty heap.");
|
||||
}
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|
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// Get the element at a given index. The key for the list is equal to index value - 1
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}
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/**
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* Get the element at a given index. The key for the list is equal to index value - 1
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*
|
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* @param elementIndex index
|
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* @return heapElement
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*/
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public HeapElement getElement(int elementIndex) {
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if ((elementIndex <= 0) && (elementIndex > maxHeap.size())) throw new IndexOutOfBoundsException("Index out of heap range");
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if ((elementIndex <= 0) || (elementIndex > maxHeap.size()))
|
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throw new IndexOutOfBoundsException("Index out of heap range");
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return maxHeap.get(elementIndex - 1);
|
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}
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|
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|
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// Get the key of the element at a given index
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private double getElementKey(int elementIndex) {
|
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return maxHeap.get(elementIndex - 1).getKey();
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}
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|
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|
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// Swaps two elements in the heap
|
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private void swap(int index1, int index2) {
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HeapElement temporaryElement = maxHeap.get(index1 - 1);
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maxHeap.set(index1 - 1, maxHeap.get(index2 - 1));
|
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maxHeap.set(index2 - 1, temporaryElement);
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}
|
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|
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// Toggle an element up to its right place as long as its key is lower than its parent's
|
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|
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// Toggle an element up to its right place as long as its key is lower than its parent's
|
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private void toggleUp(int elementIndex) {
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double key = maxHeap.get(elementIndex - 1).getKey();
|
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while (getElementKey((int) Math.floor(elementIndex/2)) < key) {
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swap(elementIndex, (int) Math.floor(elementIndex/2));
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elementIndex = (int) Math.floor(elementIndex/2);
|
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while (getElementKey((int) Math.floor(elementIndex / 2)) < key) {
|
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swap(elementIndex, (int) Math.floor(elementIndex / 2));
|
||||
elementIndex = (int) Math.floor(elementIndex / 2);
|
||||
}
|
||||
}
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|
||||
|
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// Toggle an element down to its right place as long as its key is higher
|
||||
// than any of its children's
|
||||
// than any of its children's
|
||||
private void toggleDown(int elementIndex) {
|
||||
double key = maxHeap.get(elementIndex - 1).getKey();
|
||||
boolean wrongOrder = (key < getElementKey(elementIndex*2)) || (key < getElementKey(Math.min(elementIndex*2, maxHeap.size())));
|
||||
while ((2*elementIndex <= maxHeap.size()) && wrongOrder) {
|
||||
boolean wrongOrder = (key < getElementKey(elementIndex * 2)) || (key < getElementKey(Math.min(elementIndex * 2, maxHeap.size())));
|
||||
while ((2 * elementIndex <= maxHeap.size()) && wrongOrder) {
|
||||
// Check whether it shall swap the element with its left child or its right one if any.
|
||||
if ((2*elementIndex < maxHeap.size()) && (getElementKey(elementIndex*2 + 1) > getElementKey(elementIndex*2))) {
|
||||
swap(elementIndex, 2*elementIndex + 1);
|
||||
elementIndex = 2*elementIndex + 1;
|
||||
if ((2 * elementIndex < maxHeap.size()) && (getElementKey(elementIndex * 2 + 1) > getElementKey(elementIndex * 2))) {
|
||||
swap(elementIndex, 2 * elementIndex + 1);
|
||||
elementIndex = 2 * elementIndex + 1;
|
||||
} else {
|
||||
swap(elementIndex, 2 * elementIndex);
|
||||
elementIndex = 2 * elementIndex;
|
||||
}
|
||||
else {
|
||||
swap(elementIndex, 2*elementIndex);
|
||||
elementIndex = 2*elementIndex;
|
||||
}
|
||||
wrongOrder = (key < getElementKey(elementIndex*2)) || (key < getElementKey(Math.min(elementIndex*2, maxHeap.size())));
|
||||
|
||||
wrongOrder = (key < getElementKey(elementIndex * 2)) || (key < getElementKey(Math.min(elementIndex * 2, maxHeap.size())));
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
@ -84,21 +89,23 @@ public class MaxHeap implements Heap {
|
||||
|
||||
@Override
|
||||
public void deleteElement(int elementIndex) {
|
||||
if (maxHeap.isEmpty())
|
||||
try {
|
||||
throw new EmptyHeapException("Attempt to delete an element from an empty heap");
|
||||
} catch (EmptyHeapException e) {
|
||||
e.printStackTrace();
|
||||
}
|
||||
if ((elementIndex > maxHeap.size()) && (elementIndex <= 0)) throw new IndexOutOfBoundsException("Index out of heap range");
|
||||
if (maxHeap.isEmpty())
|
||||
try {
|
||||
throw new EmptyHeapException("Attempt to delete an element from an empty heap");
|
||||
} catch (EmptyHeapException e) {
|
||||
e.printStackTrace();
|
||||
}
|
||||
if ((elementIndex > maxHeap.size()) || (elementIndex <= 0))
|
||||
throw new IndexOutOfBoundsException("Index out of heap range");
|
||||
// The last element in heap replaces the one to be deleted
|
||||
maxHeap.set(elementIndex - 1, getElement(maxHeap.size()));
|
||||
maxHeap.remove(maxHeap.size());
|
||||
// Shall the new element be moved up...
|
||||
if (getElementKey(elementIndex) > getElementKey((int) Math.floor(elementIndex/2))) toggleUp(elementIndex);
|
||||
// ... or down ?
|
||||
else if (((2*elementIndex <= maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex*2))) ||
|
||||
((2*elementIndex < maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex*2)))) toggleDown(elementIndex);
|
||||
if (getElementKey(elementIndex) > getElementKey((int) Math.floor(elementIndex / 2))) toggleUp(elementIndex);
|
||||
// ... or down ?
|
||||
else if (((2 * elementIndex <= maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex * 2))) ||
|
||||
((2 * elementIndex < maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex * 2))))
|
||||
toggleDown(elementIndex);
|
||||
}
|
||||
|
||||
@Override
|
||||
@ -109,7 +116,4 @@ public class MaxHeap implements Heap {
|
||||
throw new EmptyHeapException("Heap is empty. Error retrieving element");
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
|
||||
}
|
@ -1,7 +1,7 @@
|
||||
/**
|
||||
*
|
||||
*
|
||||
*/
|
||||
package heaps;
|
||||
package Heaps;
|
||||
|
||||
import java.util.ArrayList;
|
||||
import java.util.List;
|
||||
@ -9,66 +9,66 @@ import java.util.List;
|
||||
/**
|
||||
* Heap tree where a node's key is higher than or equal to its parent's and lower than or equal
|
||||
* to its children's.
|
||||
* @author Nicolas Renard
|
||||
*
|
||||
* @author Nicolas Renard
|
||||
*/
|
||||
public class MinHeap implements Heap {
|
||||
|
||||
|
||||
private final List<HeapElement> minHeap;
|
||||
|
||||
public MinHeap(List<HeapElement> listElements) throws Exception {
|
||||
minHeap = new ArrayList<HeapElement>();
|
||||
|
||||
public MinHeap(List<HeapElement> listElements) {
|
||||
minHeap = new ArrayList<>();
|
||||
for (HeapElement heapElement : listElements) {
|
||||
if (heapElement != null) insertElement(heapElement);
|
||||
else System.out.println("Null element. Not added to heap");
|
||||
}
|
||||
if (minHeap.size() == 0) System.out.println("No element has been added, empty heap.");
|
||||
}
|
||||
|
||||
|
||||
// Get the element at a given index. The key for the list is equal to index value - 1
|
||||
public HeapElement getElement(int elementIndex) {
|
||||
if ((elementIndex <= 0) && (elementIndex > minHeap.size())) throw new IndexOutOfBoundsException("Index out of heap range");
|
||||
if ((elementIndex <= 0) || (elementIndex > minHeap.size()))
|
||||
throw new IndexOutOfBoundsException("Index out of heap range");
|
||||
return minHeap.get(elementIndex - 1);
|
||||
}
|
||||
|
||||
|
||||
// Get the key of the element at a given index
|
||||
private double getElementKey(int elementIndex) {
|
||||
return minHeap.get(elementIndex - 1).getKey();
|
||||
}
|
||||
|
||||
|
||||
// Swaps two elements in the heap
|
||||
private void swap(int index1, int index2) {
|
||||
HeapElement temporaryElement = minHeap.get(index1 - 1);
|
||||
minHeap.set(index1 - 1, minHeap.get(index2 - 1));
|
||||
minHeap.set(index2 - 1, temporaryElement);
|
||||
}
|
||||
|
||||
// Toggle an element up to its right place as long as its key is lower than its parent's
|
||||
|
||||
// Toggle an element up to its right place as long as its key is lower than its parent's
|
||||
private void toggleUp(int elementIndex) {
|
||||
double key = minHeap.get(elementIndex - 1).getKey();
|
||||
while (getElementKey((int) Math.floor(elementIndex/2)) > key) {
|
||||
swap(elementIndex, (int) Math.floor(elementIndex/2));
|
||||
elementIndex = (int) Math.floor(elementIndex/2);
|
||||
while (getElementKey((int) Math.floor(elementIndex / 2)) > key) {
|
||||
swap(elementIndex, (int) Math.floor(elementIndex / 2));
|
||||
elementIndex = (int) Math.floor(elementIndex / 2);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
// Toggle an element down to its right place as long as its key is higher
|
||||
// than any of its children's
|
||||
// than any of its children's
|
||||
private void toggleDown(int elementIndex) {
|
||||
double key = minHeap.get(elementIndex - 1).getKey();
|
||||
boolean wrongOrder = (key > getElementKey(elementIndex*2)) || (key > getElementKey(Math.min(elementIndex*2, minHeap.size())));
|
||||
while ((2*elementIndex <= minHeap.size()) && wrongOrder) {
|
||||
boolean wrongOrder = (key > getElementKey(elementIndex * 2)) || (key > getElementKey(Math.min(elementIndex * 2, minHeap.size())));
|
||||
while ((2 * elementIndex <= minHeap.size()) && wrongOrder) {
|
||||
// Check whether it shall swap the element with its left child or its right one if any.
|
||||
if ((2*elementIndex < minHeap.size()) && (getElementKey(elementIndex*2 + 1) < getElementKey(elementIndex*2))) {
|
||||
swap(elementIndex, 2*elementIndex + 1);
|
||||
elementIndex = 2*elementIndex + 1;
|
||||
if ((2 * elementIndex < minHeap.size()) && (getElementKey(elementIndex * 2 + 1) < getElementKey(elementIndex * 2))) {
|
||||
swap(elementIndex, 2 * elementIndex + 1);
|
||||
elementIndex = 2 * elementIndex + 1;
|
||||
} else {
|
||||
swap(elementIndex, 2 * elementIndex);
|
||||
elementIndex = 2 * elementIndex;
|
||||
}
|
||||
else {
|
||||
swap(elementIndex, 2*elementIndex);
|
||||
elementIndex = 2*elementIndex;
|
||||
}
|
||||
wrongOrder = (key > getElementKey(elementIndex*2)) || (key > getElementKey(Math.min(elementIndex*2, minHeap.size())));
|
||||
|
||||
wrongOrder = (key > getElementKey(elementIndex * 2)) || (key > getElementKey(Math.min(elementIndex * 2, minHeap.size())));
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
@ -87,23 +87,25 @@ public class MinHeap implements Heap {
|
||||
|
||||
@Override
|
||||
public void deleteElement(int elementIndex) {
|
||||
if (minHeap.isEmpty())
|
||||
try {
|
||||
throw new EmptyHeapException("Attempt to delete an element from an empty heap");
|
||||
} catch (EmptyHeapException e) {
|
||||
e.printStackTrace();
|
||||
}
|
||||
if ((elementIndex > minHeap.size()) && (elementIndex <= 0)) throw new IndexOutOfBoundsException("Index out of heap range");
|
||||
if (minHeap.isEmpty())
|
||||
try {
|
||||
throw new EmptyHeapException("Attempt to delete an element from an empty heap");
|
||||
} catch (EmptyHeapException e) {
|
||||
e.printStackTrace();
|
||||
}
|
||||
if ((elementIndex > minHeap.size()) || (elementIndex <= 0))
|
||||
throw new IndexOutOfBoundsException("Index out of heap range");
|
||||
// The last element in heap replaces the one to be deleted
|
||||
minHeap.set(elementIndex - 1, getElement(minHeap.size()));
|
||||
minHeap.remove(minHeap.size());
|
||||
// Shall the new element be moved up...
|
||||
if (getElementKey(elementIndex) < getElementKey((int) Math.floor(elementIndex/2))) toggleUp(elementIndex);
|
||||
// ... or down ?
|
||||
else if (((2*elementIndex <= minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex*2))) ||
|
||||
((2*elementIndex < minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex*2)))) toggleDown(elementIndex);
|
||||
if (getElementKey(elementIndex) < getElementKey((int) Math.floor(elementIndex / 2))) toggleUp(elementIndex);
|
||||
// ... or down ?
|
||||
else if (((2 * elementIndex <= minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex * 2))) ||
|
||||
((2 * elementIndex < minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex * 2))))
|
||||
toggleDown(elementIndex);
|
||||
}
|
||||
|
||||
|
||||
@Override
|
||||
public HeapElement getElement() throws EmptyHeapException {
|
||||
try {
|
||||
@ -112,4 +114,4 @@ public class MinHeap implements Heap {
|
||||
throw new EmptyHeapException("Heap is empty. Error retrieving element");
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
@ -1,13 +1,13 @@
|
||||
|
||||
package Heaps;
|
||||
/* Minimum Priority Queue
|
||||
* It is a part of heap data structure
|
||||
* A heap is a specific tree based data structure
|
||||
* in which all the nodes of tree are in a specific order.
|
||||
* that is the children are arranged in some
|
||||
* respect of their parents, can either be greater
|
||||
* or less than the parent. This makes it a min priority queue
|
||||
* or max priority queue.
|
||||
*/
|
||||
* It is a part of heap data structure
|
||||
* A heap is a specific tree based data structure
|
||||
* in which all the nodes of tree are in a specific order.
|
||||
* that is the children are arranged in some
|
||||
* respect of their parents, can either be greater
|
||||
* or less than the parent. This makes it a min priority queue
|
||||
* or max priority queue.
|
||||
*/
|
||||
|
||||
// Functions: insert, delete, peek, isEmpty, print, heapSort, sink
|
||||
|
||||
@ -16,15 +16,15 @@ public class MinPriorityQueue {
|
||||
private int capacity;
|
||||
private int size;
|
||||
|
||||
// calss the constructor and initializes the capacity
|
||||
// calss the constructor and initializes the capacity
|
||||
MinPriorityQueue(int c) {
|
||||
this.capacity = c;
|
||||
this.size = 0;
|
||||
this.heap = new int[c + 1];
|
||||
}
|
||||
|
||||
// inserts the key at the end and rearranges it
|
||||
// so that the binary heap is in appropriate order
|
||||
// inserts the key at the end and rearranges it
|
||||
// so that the binary heap is in appropriate order
|
||||
public void insert(int key) {
|
||||
if (this.isFull())
|
||||
return;
|
||||
@ -41,41 +41,41 @@ public class MinPriorityQueue {
|
||||
this.size++;
|
||||
}
|
||||
|
||||
// returns the highest priority value
|
||||
// returns the highest priority value
|
||||
public int peek() {
|
||||
return this.heap[1];
|
||||
}
|
||||
|
||||
// returns boolean value whether the heap is empty or not
|
||||
// returns boolean value whether the heap is empty or not
|
||||
public boolean isEmpty() {
|
||||
if (0 == this.size)
|
||||
return true;
|
||||
return false;
|
||||
}
|
||||
|
||||
// returns boolean value whether the heap is full or not
|
||||
// returns boolean value whether the heap is full or not
|
||||
public boolean isFull() {
|
||||
if (this.size == this.capacity)
|
||||
return true;
|
||||
return false;
|
||||
}
|
||||
|
||||
// prints the heap
|
||||
// prints the heap
|
||||
public void print() {
|
||||
for (int i = 1; i <= this.capacity; i++)
|
||||
System.out.print(this.heap[i] + " ");
|
||||
System.out.println();
|
||||
}
|
||||
|
||||
// heap sorting can be done by performing
|
||||
// delete function to the number of times of the size of the heap
|
||||
// it returns reverse sort because it is a min priority queue
|
||||
// heap sorting can be done by performing
|
||||
// delete function to the number of times of the size of the heap
|
||||
// it returns reverse sort because it is a min priority queue
|
||||
public void heapSort() {
|
||||
for (int i = 1; i < this.capacity; i++)
|
||||
this.delete();
|
||||
}
|
||||
|
||||
// this function reorders the heap after every delete function
|
||||
// this function reorders the heap after every delete function
|
||||
private void sink() {
|
||||
int k = 1;
|
||||
while (2 * k <= this.size || 2 * k + 1 <= this.size) {
|
||||
@ -103,7 +103,7 @@ public class MinPriorityQueue {
|
||||
}
|
||||
}
|
||||
|
||||
// deletes the highest priority value from the heap
|
||||
// deletes the highest priority value from the heap
|
||||
public int delete() {
|
||||
int min = this.heap[1];
|
||||
this.heap[1] = this.heap[this.size];
|
||||
|
Reference in New Issue
Block a user