parent
bb670a2ceb
commit
8b92c3fdbe
@ -1,12 +1,11 @@
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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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@ -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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* @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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* @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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@ -1,7 +1,7 @@
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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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@ -12,8 +12,8 @@ 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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@ -22,7 +22,6 @@ public class HeapElement {
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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 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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@ -33,7 +32,6 @@ public class HeapElement {
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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 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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@ -44,7 +42,6 @@ public class HeapElement {
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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 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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@ -55,7 +52,6 @@ public class HeapElement {
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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 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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@ -66,7 +62,6 @@ public class HeapElement {
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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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@ -75,7 +70,6 @@ public class HeapElement {
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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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@ -84,7 +78,6 @@ public class HeapElement {
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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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@ -93,7 +86,6 @@ public class HeapElement {
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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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@ -102,12 +94,14 @@ public class HeapElement {
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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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@ -120,8 +114,8 @@ public class HeapElement {
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public String 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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@ -6,15 +6,15 @@ 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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@ -22,9 +22,15 @@ public class MaxHeap implements Heap {
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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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* 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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if ((2 * elementIndex < maxHeap.size()) && (getElementKey(elementIndex * 2 + 1) > getElementKey(elementIndex * 2))) {
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swap(elementIndex, 2 * elementIndex + 1);
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elementIndex = 2 * elementIndex + 1;
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}
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else {
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} else {
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swap(elementIndex, 2 * elementIndex);
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elementIndex = 2 * elementIndex;
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}
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@ -90,7 +95,8 @@ public class MaxHeap implements Heap {
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} catch (EmptyHeapException e) {
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e.printStackTrace();
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}
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if ((elementIndex > maxHeap.size()) && (elementIndex <= 0)) throw new IndexOutOfBoundsException("Index out of heap range");
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if ((elementIndex > maxHeap.size()) || (elementIndex <= 0))
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throw new IndexOutOfBoundsException("Index out of heap range");
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// The last element in heap replaces the one to be deleted
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maxHeap.set(elementIndex - 1, getElement(maxHeap.size()));
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maxHeap.remove(maxHeap.size());
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@ -98,7 +104,8 @@ public class MaxHeap implements Heap {
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if (getElementKey(elementIndex) > getElementKey((int) Math.floor(elementIndex / 2))) toggleUp(elementIndex);
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// ... or down ?
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else if (((2 * elementIndex <= maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex * 2))) ||
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((2*elementIndex < maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex*2)))) toggleDown(elementIndex);
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((2 * elementIndex < maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex * 2))))
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toggleDown(elementIndex);
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}
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@Override
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throw new EmptyHeapException("Heap is empty. Error retrieving element");
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}
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}
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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.util.ArrayList;
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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 MinHeap implements Heap {
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private final List<HeapElement> minHeap;
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public MinHeap(List<HeapElement> listElements) throws Exception {
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minHeap = new ArrayList<HeapElement>();
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public MinHeap(List<HeapElement> listElements) {
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minHeap = 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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@ -27,7 +27,8 @@ public class MinHeap implements Heap {
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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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public HeapElement getElement(int elementIndex) {
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if ((elementIndex <= 0) && (elementIndex > minHeap.size())) throw new IndexOutOfBoundsException("Index out of heap range");
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if ((elementIndex <= 0) || (elementIndex > minHeap.size()))
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throw new IndexOutOfBoundsException("Index out of heap range");
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return minHeap.get(elementIndex - 1);
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}
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if ((2 * elementIndex < minHeap.size()) && (getElementKey(elementIndex * 2 + 1) < getElementKey(elementIndex * 2))) {
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swap(elementIndex, 2 * elementIndex + 1);
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elementIndex = 2 * elementIndex + 1;
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}
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else {
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} else {
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swap(elementIndex, 2 * elementIndex);
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elementIndex = 2 * elementIndex;
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}
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} catch (EmptyHeapException e) {
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e.printStackTrace();
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}
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if ((elementIndex > minHeap.size()) && (elementIndex <= 0)) throw new IndexOutOfBoundsException("Index out of heap range");
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if ((elementIndex > minHeap.size()) || (elementIndex <= 0))
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throw new IndexOutOfBoundsException("Index out of heap range");
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// The last element in heap replaces the one to be deleted
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minHeap.set(elementIndex - 1, getElement(minHeap.size()));
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minHeap.remove(minHeap.size());
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@ -101,7 +102,8 @@ public class MinHeap implements Heap {
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if (getElementKey(elementIndex) < getElementKey((int) Math.floor(elementIndex / 2))) toggleUp(elementIndex);
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// ... or down ?
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else if (((2 * elementIndex <= minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex * 2))) ||
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((2*elementIndex < minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex*2)))) toggleDown(elementIndex);
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((2 * elementIndex < minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex * 2))))
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toggleDown(elementIndex);
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}
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@Override
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package Heaps;
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/* Minimum Priority Queue
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* It is a part of heap data structure
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* A heap is a specific tree based data structure
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@ -1,12 +1,11 @@
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import java.util.Scanner;
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/**
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*
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* @author Afrizal Fikri (https://github.com/icalF)
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*
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* @author Libin Yang (https://github.com/yanglbme)
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*/
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public class LongestIncreasingSubsequence {
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public static void main(String[] args) throws Exception {
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public static void main(String[] args) {
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Scanner sc = new Scanner(System.in);
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int n = sc.nextInt();
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@ -37,7 +36,9 @@ public class LongestIncreasingSubsequence {
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return 0;
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int[] tail = new int[N];
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int length = 1; // always points empty slot in tail
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// always points empty slot in tail
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int length = 1;
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tail[0] = array[0];
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for (int i = 1; i < N; i++) {
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@ -1,16 +1,14 @@
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/*
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@author : Mayank K Jha
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/**
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* @author Mayank K Jha
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*/
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import java.io.IOException;
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import java.util.Arrays;
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import java.util.Scanner;
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import java.util.Stack;
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public class Dijkshtra {
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public static void main(String[] args) throws IOException {
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public static void main(String[] args) {
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Scanner in = new Scanner(System.in);
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// n = Number of nodes or vertices
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@ -19,11 +17,11 @@ public class Dijkshtra {
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int m = in.nextInt();
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// Adjacency Matrix
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long w[][] = new long [n+1][n+1];
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long[][] w = new long[n + 1][n + 1];
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// Initializing Matrix with Certain Maximum Value for path b/w any two vertices
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for (long[] row : w) {
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Arrays.fill(row, 1000000l);
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Arrays.fill(row, 1000000L);
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}
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/* From above,we Have assumed that,initially path b/w any two Pair of vertices is Infinite such that Infinite = 1000000l
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@ -36,12 +34,13 @@ public class Dijkshtra {
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// Comparing previous edge value with current value - Cycle Case
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if (w[x][y] > cmp) {
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w[x][y] = cmp; w[y][x] = cmp;
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w[x][y] = cmp;
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w[y][x] = cmp;
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}
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}
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// Implementing Dijkshtra's Algorithm
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Stack<Integer> t = new Stack<Integer>();
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Stack<Integer> t = new Stack<>();
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int src = in.nextInt();
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for (int i = 1; i <= n; i++) {
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@ -50,7 +49,7 @@ public class Dijkshtra {
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}
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}
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Stack <Integer> p = new Stack<Integer>();
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Stack<Integer> p = new Stack<>();
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p.push(src);
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w[src][src] = 0;
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@ -71,7 +70,7 @@ public class Dijkshtra {
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// Printing shortest path from the given source src
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for (int i = 1; i <= n; i++) {
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if(i != src && w[src][i] != 1000000l) {
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if (i != src && w[src][i] != 1000000L) {
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System.out.print(w[src][i] + " ");
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}
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// Printing -1 if there is no path b/w given pair of edges
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@ -5,19 +5,22 @@ package Others;
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* Dijkstra's algorithm,is a graph search algorithm that solves the single-source
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* shortest path problem for a graph with nonnegative edge path costs, producing
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* a shortest path tree.
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*
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* <p>
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* NOTE: The inputs to Dijkstra's algorithm are a directed and weighted graph consisting
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* of 2 or more nodes, generally represented by an adjacency matrix or list, and a start node.
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*
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* <p>
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* Original source of code: https://rosettacode.org/wiki/Dijkstra%27s_algorithm#Java
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* Also most of the comments are from RosettaCode.
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*
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*/
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//import java.io.*;
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import java.util.*;
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public class Dijkstra {
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private static final Graph.Edge[] GRAPH = {
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new Graph.Edge("a", "b", 7), //Distance from node "a" to node "b" is 7. In the current Graph there is no way to move the other way (e,g, from "b" to "a"), a new edge would be needed for that
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// Distance from node "a" to node "b" is 7.
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// In the current Graph there is no way to move the other way (e,g, from "b" to "a"),
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// a new edge would be needed for that
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new Graph.Edge("a", "b", 7),
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new Graph.Edge("a", "c", 9),
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new Graph.Edge("a", "f", 14),
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new Graph.Edge("b", "c", 10),
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@ -43,12 +46,14 @@ public class Dijkstra {
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}
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class Graph {
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private final Map<String, Vertex> graph; // mapping of vertex names to Vertex objects, built from a set of Edges
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// mapping of vertex names to Vertex objects, built from a set of Edges
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private final Map<String, Vertex> graph;
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/** One edge of the graph (only used by Graph constructor) */
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public static class Edge {
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public final String v1, v2;
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public final int dist;
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public Edge(String v1, String v2, int dist) {
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this.v1 = v1;
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this.v2 = v2;
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@ -59,7 +64,8 @@ class Graph {
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/** One vertex of the graph, complete with mappings to neighbouring vertices */
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public static class Vertex implements Comparable<Vertex> {
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public final String name;
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public int dist = Integer.MAX_VALUE; // MAX_VALUE assumed to be infinity
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// MAX_VALUE assumed to be infinity
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public int dist = Integer.MAX_VALUE;
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public Vertex previous = null;
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public final Map<Vertex, Integer> neighbours = new HashMap<>();
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@ -70,11 +76,9 @@ class Graph {
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private void printPath() {
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if (this == this.previous) {
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System.out.printf("%s", this.name);
|
||||
}
|
||||
else if (this.previous == null) {
|
||||
} else if (this.previous == null) {
|
||||
System.out.printf("%s(unreached)", this.name);
|
||||
}
|
||||
else {
|
||||
} else {
|
||||
this.previous.printPath();
|
||||
System.out.printf(" -> %s(%d)", this.name, this.dist);
|
||||
}
|
||||
@ -87,7 +91,8 @@ class Graph {
|
||||
return Integer.compare(dist, other.dist);
|
||||
}
|
||||
|
||||
@Override public String toString() {
|
||||
@Override
|
||||
public String toString() {
|
||||
return "(" + name + ", " + dist + ")";
|
||||
}
|
||||
}
|
||||
@ -132,9 +137,10 @@ class Graph {
|
||||
private void dijkstra(final NavigableSet<Vertex> q) {
|
||||
Vertex u, v;
|
||||
while (!q.isEmpty()) {
|
||||
|
||||
u = q.pollFirst(); // vertex with shortest distance (first iteration will return source)
|
||||
if (u.dist == Integer.MAX_VALUE) break; // we can ignore u (and any other remaining vertices) since they are unreachable
|
||||
// vertex with shortest distance (first iteration will return source)
|
||||
u = q.pollFirst();
|
||||
if (u.dist == Integer.MAX_VALUE)
|
||||
break; // we can ignore u (and any other remaining vertices) since they are unreachable
|
||||
|
||||
// look at distances to each neighbour
|
||||
for (Map.Entry<Vertex, Integer> a : u.neighbours.entrySet()) {
|
||||
@ -161,6 +167,7 @@ class Graph {
|
||||
graph.get(endName).printPath();
|
||||
System.out.println();
|
||||
}
|
||||
|
||||
/** Prints the path from the source to every vertex (output order is not guaranteed) */
|
||||
public void printAllPaths() {
|
||||
for (Vertex v : graph.values()) {
|
||||
|
Loading…
Reference in New Issue
Block a user