mirror of
https://github.com/TheAlgorithms/Java.git
synced 2025-07-14 01:16:07 +08:00
@ -1,12 +1,11 @@
|
|||||||
/**
|
/**
|
||||||
*
|
*
|
||||||
*/
|
*/
|
||||||
package heaps;
|
package Heaps;
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @author Nicolas Renard
|
* @author Nicolas Renard
|
||||||
* Exception to be thrown if the getElement method is used on an empty heap.
|
* Exception to be thrown if the getElement method is used on an empty heap.
|
||||||
*
|
|
||||||
*/
|
*/
|
||||||
@SuppressWarnings("serial")
|
@SuppressWarnings("serial")
|
||||||
public class EmptyHeapException extends Exception {
|
public class EmptyHeapException extends Exception {
|
||||||
|
@ -1,4 +1,4 @@
|
|||||||
package heaps;
|
package Heaps;
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Interface common to heap data structures.<br>
|
* Interface common to heap data structures.<br>
|
||||||
@ -10,32 +10,31 @@ package heaps;
|
|||||||
* max-heap).</p>
|
* max-heap).</p>
|
||||||
* <p>All heap-related operations (inserting or deleting an element, extracting the min or max) are performed in
|
* <p>All heap-related operations (inserting or deleting an element, extracting the min or max) are performed in
|
||||||
* O(log n) time.</p>
|
* O(log n) time.</p>
|
||||||
|
*
|
||||||
* @author Nicolas Renard
|
* @author Nicolas Renard
|
||||||
*
|
|
||||||
*
|
|
||||||
*/
|
*/
|
||||||
public interface Heap {
|
public interface Heap {
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @return the top element in the heap, the one with lowest key for min-heap or with
|
* @return the top element in the heap, the one with lowest key for min-heap or with
|
||||||
* the highest key for max-heap
|
* the highest key for max-heap
|
||||||
* @throws Exception if heap is empty
|
* @throws EmptyHeapException if heap is empty
|
||||||
*/
|
*/
|
||||||
public abstract HeapElement getElement() throws EmptyHeapException;
|
HeapElement getElement() throws EmptyHeapException;
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Inserts an element in the heap. Adds it to then end and toggle it until it finds its
|
* Inserts an element in the heap. Adds it to then end and toggle it until it finds its
|
||||||
* right position.
|
* right position.
|
||||||
*
|
*
|
||||||
* @param element an instance of the HeapElement class.
|
* @param element an instance of the HeapElement class.
|
||||||
*/
|
*/
|
||||||
public abstract void insertElement(HeapElement element);
|
void insertElement(HeapElement element);
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Delete an element in the heap.
|
* Delete an element in the heap.
|
||||||
*
|
*
|
||||||
* @param elementIndex int containing the position in the heap of the element to be deleted.
|
* @param elementIndex int containing the position in the heap of the element to be deleted.
|
||||||
*/
|
*/
|
||||||
public abstract void deleteElement(int elementIndex);
|
void deleteElement(int elementIndex);
|
||||||
|
|
||||||
}
|
}
|
@ -1,7 +1,7 @@
|
|||||||
/**
|
/**
|
||||||
*
|
*
|
||||||
*/
|
*/
|
||||||
package heaps;
|
package Heaps;
|
||||||
|
|
||||||
import java.lang.Double;
|
import java.lang.Double;
|
||||||
import java.lang.Object;
|
import java.lang.Object;
|
||||||
@ -12,8 +12,8 @@ import java.lang.Object;
|
|||||||
* or double, either primitive type or object) and any kind of IMMUTABLE object the user sees fit
|
* or double, either primitive type or object) and any kind of IMMUTABLE object the user sees fit
|
||||||
* to carry any information he/she likes. Be aware that the use of a mutable object might
|
* to carry any information he/she likes. Be aware that the use of a mutable object might
|
||||||
* jeopardize the integrity of this information. </p>
|
* jeopardize the integrity of this information. </p>
|
||||||
* @author Nicolas Renard
|
|
||||||
*
|
*
|
||||||
|
* @author Nicolas Renard
|
||||||
*/
|
*/
|
||||||
public class HeapElement {
|
public class HeapElement {
|
||||||
private final double key;
|
private final double key;
|
||||||
@ -22,7 +22,6 @@ public class HeapElement {
|
|||||||
// Constructors
|
// Constructors
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of primitive type 'double'
|
* @param key : a number of primitive type 'double'
|
||||||
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
||||||
* additional information of use for the user
|
* additional information of use for the user
|
||||||
@ -33,7 +32,6 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of primitive type 'int'
|
* @param key : a number of primitive type 'int'
|
||||||
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
||||||
* additional information of use for the user
|
* additional information of use for the user
|
||||||
@ -44,7 +42,6 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of object type 'Integer'
|
* @param key : a number of object type 'Integer'
|
||||||
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
||||||
* additional information of use for the user
|
* additional information of use for the user
|
||||||
@ -55,7 +52,6 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of object type 'Double'
|
* @param key : a number of object type 'Double'
|
||||||
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
* @param info : any kind of IMMUTABLE object. May be null, since the purpose is only to carry
|
||||||
* additional information of use for the user
|
* additional information of use for the user
|
||||||
@ -66,7 +62,6 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of primitive type 'double'
|
* @param key : a number of primitive type 'double'
|
||||||
*/
|
*/
|
||||||
public HeapElement(double key) {
|
public HeapElement(double key) {
|
||||||
@ -75,7 +70,6 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of primitive type 'int'
|
* @param key : a number of primitive type 'int'
|
||||||
*/
|
*/
|
||||||
public HeapElement(int key) {
|
public HeapElement(int key) {
|
||||||
@ -84,7 +78,6 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of object type 'Integer'
|
* @param key : a number of object type 'Integer'
|
||||||
*/
|
*/
|
||||||
public HeapElement(Integer key) {
|
public HeapElement(Integer key) {
|
||||||
@ -93,7 +86,6 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param key : a number of object type 'Double'
|
* @param key : a number of object type 'Double'
|
||||||
*/
|
*/
|
||||||
public HeapElement(Double key) {
|
public HeapElement(Double key) {
|
||||||
@ -102,12 +94,14 @@ public class HeapElement {
|
|||||||
}
|
}
|
||||||
|
|
||||||
// Getters
|
// Getters
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @return the object containing the additional info provided by the user.
|
* @return the object containing the additional info provided by the user.
|
||||||
*/
|
*/
|
||||||
public Object getInfo() {
|
public Object getInfo() {
|
||||||
return additionalInfo;
|
return additionalInfo;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* @return the key value of the element
|
* @return the key value of the element
|
||||||
*/
|
*/
|
||||||
@ -118,10 +112,10 @@ public class HeapElement {
|
|||||||
// Overridden object methods
|
// Overridden object methods
|
||||||
|
|
||||||
public String toString() {
|
public String toString() {
|
||||||
return "Key: " + key + " - " +additionalInfo.toString();
|
return "Key: " + key + " - " + additionalInfo.toString();
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @param otherHeapElement
|
* @param otherHeapElement
|
||||||
* @return true if the keys on both elements are identical and the additional info objects
|
* @return true if the keys on both elements are identical and the additional info objects
|
||||||
* are identical.
|
* are identical.
|
||||||
|
@ -1,4 +1,4 @@
|
|||||||
package heaps;
|
package Heaps;
|
||||||
|
|
||||||
import java.util.ArrayList;
|
import java.util.ArrayList;
|
||||||
import java.util.List;
|
import java.util.List;
|
||||||
@ -6,15 +6,15 @@ 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
|
* 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.
|
* to its children's.
|
||||||
* @author Nicolas Renard
|
|
||||||
*
|
*
|
||||||
|
* @author Nicolas Renard
|
||||||
*/
|
*/
|
||||||
public class MaxHeap implements Heap {
|
public class MaxHeap implements Heap {
|
||||||
|
|
||||||
private final List<HeapElement> maxHeap;
|
private final List<HeapElement> maxHeap;
|
||||||
|
|
||||||
public MaxHeap(List<HeapElement> listElements) throws Exception {
|
public MaxHeap(List<HeapElement> listElements) {
|
||||||
maxHeap = new ArrayList<HeapElement>();
|
maxHeap = new ArrayList<>();
|
||||||
for (HeapElement heapElement : listElements) {
|
for (HeapElement heapElement : listElements) {
|
||||||
if (heapElement != null) insertElement(heapElement);
|
if (heapElement != null) insertElement(heapElement);
|
||||||
else System.out.println("Null element. Not added to heap");
|
else System.out.println("Null element. Not added to heap");
|
||||||
@ -22,9 +22,15 @@ public class MaxHeap implements Heap {
|
|||||||
if (maxHeap.size() == 0) System.out.println("No element has been added, empty heap.");
|
if (maxHeap.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
|
/**
|
||||||
|
* Get the element at a given index. The key for the list is equal to index value - 1
|
||||||
|
*
|
||||||
|
* @param elementIndex index
|
||||||
|
* @return heapElement
|
||||||
|
*/
|
||||||
public HeapElement getElement(int elementIndex) {
|
public HeapElement getElement(int elementIndex) {
|
||||||
if ((elementIndex <= 0) && (elementIndex > maxHeap.size())) throw new IndexOutOfBoundsException("Index out of heap range");
|
if ((elementIndex <= 0) || (elementIndex > maxHeap.size()))
|
||||||
|
throw new IndexOutOfBoundsException("Index out of heap range");
|
||||||
return maxHeap.get(elementIndex - 1);
|
return maxHeap.get(elementIndex - 1);
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -43,9 +49,9 @@ public class MaxHeap implements Heap {
|
|||||||
// 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) {
|
private void toggleUp(int elementIndex) {
|
||||||
double key = maxHeap.get(elementIndex - 1).getKey();
|
double key = maxHeap.get(elementIndex - 1).getKey();
|
||||||
while (getElementKey((int) Math.floor(elementIndex/2)) < key) {
|
while (getElementKey((int) Math.floor(elementIndex / 2)) < key) {
|
||||||
swap(elementIndex, (int) Math.floor(elementIndex/2));
|
swap(elementIndex, (int) Math.floor(elementIndex / 2));
|
||||||
elementIndex = (int) Math.floor(elementIndex/2);
|
elementIndex = (int) Math.floor(elementIndex / 2);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -53,18 +59,17 @@ public class MaxHeap implements Heap {
|
|||||||
// than any of its children's
|
// than any of its children's
|
||||||
private void toggleDown(int elementIndex) {
|
private void toggleDown(int elementIndex) {
|
||||||
double key = maxHeap.get(elementIndex - 1).getKey();
|
double key = maxHeap.get(elementIndex - 1).getKey();
|
||||||
boolean wrongOrder = (key < getElementKey(elementIndex*2)) || (key < getElementKey(Math.min(elementIndex*2, maxHeap.size())));
|
boolean wrongOrder = (key < getElementKey(elementIndex * 2)) || (key < getElementKey(Math.min(elementIndex * 2, maxHeap.size())));
|
||||||
while ((2*elementIndex <= maxHeap.size()) && wrongOrder) {
|
while ((2 * elementIndex <= maxHeap.size()) && wrongOrder) {
|
||||||
// Check whether it shall swap the element with its left child or its right one if any.
|
// 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))) {
|
if ((2 * elementIndex < maxHeap.size()) && (getElementKey(elementIndex * 2 + 1) > getElementKey(elementIndex * 2))) {
|
||||||
swap(elementIndex, 2*elementIndex + 1);
|
swap(elementIndex, 2 * elementIndex + 1);
|
||||||
elementIndex = 2*elementIndex + 1;
|
elementIndex = 2 * elementIndex + 1;
|
||||||
|
} else {
|
||||||
|
swap(elementIndex, 2 * elementIndex);
|
||||||
|
elementIndex = 2 * elementIndex;
|
||||||
}
|
}
|
||||||
else {
|
wrongOrder = (key < getElementKey(elementIndex * 2)) || (key < getElementKey(Math.min(elementIndex * 2, maxHeap.size())));
|
||||||
swap(elementIndex, 2*elementIndex);
|
|
||||||
elementIndex = 2*elementIndex;
|
|
||||||
}
|
|
||||||
wrongOrder = (key < getElementKey(elementIndex*2)) || (key < getElementKey(Math.min(elementIndex*2, maxHeap.size())));
|
|
||||||
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
@ -90,15 +95,17 @@ public class MaxHeap implements Heap {
|
|||||||
} catch (EmptyHeapException e) {
|
} catch (EmptyHeapException e) {
|
||||||
e.printStackTrace();
|
e.printStackTrace();
|
||||||
}
|
}
|
||||||
if ((elementIndex > maxHeap.size()) && (elementIndex <= 0)) throw new IndexOutOfBoundsException("Index out of heap range");
|
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
|
// The last element in heap replaces the one to be deleted
|
||||||
maxHeap.set(elementIndex - 1, getElement(maxHeap.size()));
|
maxHeap.set(elementIndex - 1, getElement(maxHeap.size()));
|
||||||
maxHeap.remove(maxHeap.size());
|
maxHeap.remove(maxHeap.size());
|
||||||
// Shall the new element be moved up...
|
// Shall the new element be moved up...
|
||||||
if (getElementKey(elementIndex) > getElementKey((int) Math.floor(elementIndex/2))) toggleUp(elementIndex);
|
if (getElementKey(elementIndex) > getElementKey((int) Math.floor(elementIndex / 2))) toggleUp(elementIndex);
|
||||||
// ... or down ?
|
// ... or down ?
|
||||||
else if (((2*elementIndex <= maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex*2))) ||
|
else if (((2 * elementIndex <= maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex * 2))) ||
|
||||||
((2*elementIndex < maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex*2)))) toggleDown(elementIndex);
|
((2 * elementIndex < maxHeap.size()) && (getElementKey(elementIndex) < getElementKey(elementIndex * 2))))
|
||||||
|
toggleDown(elementIndex);
|
||||||
}
|
}
|
||||||
|
|
||||||
@Override
|
@Override
|
||||||
@ -109,7 +116,4 @@ public class MaxHeap implements Heap {
|
|||||||
throw new EmptyHeapException("Heap is empty. Error retrieving element");
|
throw new EmptyHeapException("Heap is empty. Error retrieving element");
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
|
@ -1,7 +1,7 @@
|
|||||||
/**
|
/**
|
||||||
*
|
*
|
||||||
*/
|
*/
|
||||||
package heaps;
|
package Heaps;
|
||||||
|
|
||||||
import java.util.ArrayList;
|
import java.util.ArrayList;
|
||||||
import java.util.List;
|
import java.util.List;
|
||||||
@ -9,15 +9,15 @@ 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
|
* 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.
|
* to its children's.
|
||||||
* @author Nicolas Renard
|
|
||||||
*
|
*
|
||||||
|
* @author Nicolas Renard
|
||||||
*/
|
*/
|
||||||
public class MinHeap implements Heap {
|
public class MinHeap implements Heap {
|
||||||
|
|
||||||
private final List<HeapElement> minHeap;
|
private final List<HeapElement> minHeap;
|
||||||
|
|
||||||
public MinHeap(List<HeapElement> listElements) throws Exception {
|
public MinHeap(List<HeapElement> listElements) {
|
||||||
minHeap = new ArrayList<HeapElement>();
|
minHeap = new ArrayList<>();
|
||||||
for (HeapElement heapElement : listElements) {
|
for (HeapElement heapElement : listElements) {
|
||||||
if (heapElement != null) insertElement(heapElement);
|
if (heapElement != null) insertElement(heapElement);
|
||||||
else System.out.println("Null element. Not added to heap");
|
else System.out.println("Null element. Not added to heap");
|
||||||
@ -27,7 +27,8 @@ public class MinHeap implements Heap {
|
|||||||
|
|
||||||
// Get the element at a given index. The key for the list is equal to index value - 1
|
// Get the element at a given index. The key for the list is equal to index value - 1
|
||||||
public HeapElement getElement(int elementIndex) {
|
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);
|
return minHeap.get(elementIndex - 1);
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -46,9 +47,9 @@ public class MinHeap implements Heap {
|
|||||||
// 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) {
|
private void toggleUp(int elementIndex) {
|
||||||
double key = minHeap.get(elementIndex - 1).getKey();
|
double key = minHeap.get(elementIndex - 1).getKey();
|
||||||
while (getElementKey((int) Math.floor(elementIndex/2)) > key) {
|
while (getElementKey((int) Math.floor(elementIndex / 2)) > key) {
|
||||||
swap(elementIndex, (int) Math.floor(elementIndex/2));
|
swap(elementIndex, (int) Math.floor(elementIndex / 2));
|
||||||
elementIndex = (int) Math.floor(elementIndex/2);
|
elementIndex = (int) Math.floor(elementIndex / 2);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -56,18 +57,17 @@ public class MinHeap implements Heap {
|
|||||||
// than any of its children's
|
// than any of its children's
|
||||||
private void toggleDown(int elementIndex) {
|
private void toggleDown(int elementIndex) {
|
||||||
double key = minHeap.get(elementIndex - 1).getKey();
|
double key = minHeap.get(elementIndex - 1).getKey();
|
||||||
boolean wrongOrder = (key > getElementKey(elementIndex*2)) || (key > getElementKey(Math.min(elementIndex*2, minHeap.size())));
|
boolean wrongOrder = (key > getElementKey(elementIndex * 2)) || (key > getElementKey(Math.min(elementIndex * 2, minHeap.size())));
|
||||||
while ((2*elementIndex <= minHeap.size()) && wrongOrder) {
|
while ((2 * elementIndex <= minHeap.size()) && wrongOrder) {
|
||||||
// Check whether it shall swap the element with its left child or its right one if any.
|
// 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))) {
|
if ((2 * elementIndex < minHeap.size()) && (getElementKey(elementIndex * 2 + 1) < getElementKey(elementIndex * 2))) {
|
||||||
swap(elementIndex, 2*elementIndex + 1);
|
swap(elementIndex, 2 * elementIndex + 1);
|
||||||
elementIndex = 2*elementIndex + 1;
|
elementIndex = 2 * elementIndex + 1;
|
||||||
|
} else {
|
||||||
|
swap(elementIndex, 2 * elementIndex);
|
||||||
|
elementIndex = 2 * elementIndex;
|
||||||
}
|
}
|
||||||
else {
|
wrongOrder = (key > getElementKey(elementIndex * 2)) || (key > getElementKey(Math.min(elementIndex * 2, minHeap.size())));
|
||||||
swap(elementIndex, 2*elementIndex);
|
|
||||||
elementIndex = 2*elementIndex;
|
|
||||||
}
|
|
||||||
wrongOrder = (key > getElementKey(elementIndex*2)) || (key > getElementKey(Math.min(elementIndex*2, minHeap.size())));
|
|
||||||
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
@ -93,15 +93,17 @@ public class MinHeap implements Heap {
|
|||||||
} catch (EmptyHeapException e) {
|
} catch (EmptyHeapException e) {
|
||||||
e.printStackTrace();
|
e.printStackTrace();
|
||||||
}
|
}
|
||||||
if ((elementIndex > minHeap.size()) && (elementIndex <= 0)) throw new IndexOutOfBoundsException("Index out of heap range");
|
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
|
// The last element in heap replaces the one to be deleted
|
||||||
minHeap.set(elementIndex - 1, getElement(minHeap.size()));
|
minHeap.set(elementIndex - 1, getElement(minHeap.size()));
|
||||||
minHeap.remove(minHeap.size());
|
minHeap.remove(minHeap.size());
|
||||||
// Shall the new element be moved up...
|
// Shall the new element be moved up...
|
||||||
if (getElementKey(elementIndex) < getElementKey((int) Math.floor(elementIndex/2))) toggleUp(elementIndex);
|
if (getElementKey(elementIndex) < getElementKey((int) Math.floor(elementIndex / 2))) toggleUp(elementIndex);
|
||||||
// ... or down ?
|
// ... or down ?
|
||||||
else if (((2*elementIndex <= minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex*2))) ||
|
else if (((2 * elementIndex <= minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex * 2))) ||
|
||||||
((2*elementIndex < minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex*2)))) toggleDown(elementIndex);
|
((2 * elementIndex < minHeap.size()) && (getElementKey(elementIndex) > getElementKey(elementIndex * 2))))
|
||||||
|
toggleDown(elementIndex);
|
||||||
}
|
}
|
||||||
|
|
||||||
@Override
|
@Override
|
||||||
|
@ -1,13 +1,13 @@
|
|||||||
|
package Heaps;
|
||||||
/* Minimum Priority Queue
|
/* Minimum Priority Queue
|
||||||
* It is a part of heap data structure
|
* It is a part of heap data structure
|
||||||
* A heap is a specific tree based data structure
|
* A heap is a specific tree based data structure
|
||||||
* in which all the nodes of tree are in a specific order.
|
* in which all the nodes of tree are in a specific order.
|
||||||
* that is the children are arranged in some
|
* that is the children are arranged in some
|
||||||
* respect of their parents, can either be greater
|
* respect of their parents, can either be greater
|
||||||
* or less than the parent. This makes it a min priority queue
|
* or less than the parent. This makes it a min priority queue
|
||||||
* or max priority queue.
|
* or max priority queue.
|
||||||
*/
|
*/
|
||||||
|
|
||||||
// Functions: insert, delete, peek, isEmpty, print, heapSort, sink
|
// Functions: insert, delete, peek, isEmpty, print, heapSort, sink
|
||||||
|
|
||||||
|
@ -1,12 +1,11 @@
|
|||||||
import java.util.Scanner;
|
import java.util.Scanner;
|
||||||
|
|
||||||
/**
|
/**
|
||||||
*
|
|
||||||
* @author Afrizal Fikri (https://github.com/icalF)
|
* @author Afrizal Fikri (https://github.com/icalF)
|
||||||
*
|
* @author Libin Yang (https://github.com/yanglbme)
|
||||||
*/
|
*/
|
||||||
public class LongestIncreasingSubsequence {
|
public class LongestIncreasingSubsequence {
|
||||||
public static void main(String[] args) throws Exception {
|
public static void main(String[] args) {
|
||||||
|
|
||||||
Scanner sc = new Scanner(System.in);
|
Scanner sc = new Scanner(System.in);
|
||||||
int n = sc.nextInt();
|
int n = sc.nextInt();
|
||||||
@ -20,7 +19,7 @@ public class LongestIncreasingSubsequence {
|
|||||||
}
|
}
|
||||||
|
|
||||||
private static int upperBound(int[] ar, int l, int r, int key) {
|
private static int upperBound(int[] ar, int l, int r, int key) {
|
||||||
while (l < r-1) {
|
while (l < r - 1) {
|
||||||
int m = (l + r) / 2;
|
int m = (l + r) / 2;
|
||||||
if (ar[m] >= key)
|
if (ar[m] >= key)
|
||||||
r = m;
|
r = m;
|
||||||
@ -37,7 +36,9 @@ public class LongestIncreasingSubsequence {
|
|||||||
return 0;
|
return 0;
|
||||||
|
|
||||||
int[] tail = new int[N];
|
int[] tail = new int[N];
|
||||||
int length = 1; // always points empty slot in tail
|
|
||||||
|
// always points empty slot in tail
|
||||||
|
int length = 1;
|
||||||
|
|
||||||
tail[0] = array[0];
|
tail[0] = array[0];
|
||||||
for (int i = 1; i < N; i++) {
|
for (int i = 1; i < N; i++) {
|
||||||
@ -47,14 +48,14 @@ public class LongestIncreasingSubsequence {
|
|||||||
tail[0] = array[i];
|
tail[0] = array[i];
|
||||||
|
|
||||||
// array[i] extends largest subsequence
|
// array[i] extends largest subsequence
|
||||||
else if (array[i] > tail[length-1])
|
else if (array[i] > tail[length - 1])
|
||||||
tail[length++] = array[i];
|
tail[length++] = array[i];
|
||||||
|
|
||||||
// array[i] will become end candidate of an existing subsequence or
|
// array[i] will become end candidate of an existing subsequence or
|
||||||
// Throw away larger elements in all LIS, to make room for upcoming grater elements than array[i]
|
// Throw away larger elements in all LIS, to make room for upcoming grater elements than array[i]
|
||||||
// (and also, array[i] would have already appeared in one of LIS, identify the location and replace it)
|
// (and also, array[i] would have already appeared in one of LIS, identify the location and replace it)
|
||||||
else
|
else
|
||||||
tail[upperBound(tail, -1, length-1, array[i])] = array[i];
|
tail[upperBound(tail, -1, length - 1, array[i])] = array[i];
|
||||||
}
|
}
|
||||||
|
|
||||||
return length;
|
return length;
|
||||||
|
@ -1,16 +1,14 @@
|
|||||||
/*
|
/**
|
||||||
@author : Mayank K Jha
|
* @author Mayank K Jha
|
||||||
|
*/
|
||||||
|
|
||||||
*/
|
|
||||||
|
|
||||||
import java.io.IOException;
|
|
||||||
import java.util.Arrays;
|
import java.util.Arrays;
|
||||||
import java.util.Scanner;
|
import java.util.Scanner;
|
||||||
import java.util.Stack;
|
import java.util.Stack;
|
||||||
|
|
||||||
public class Dijkshtra {
|
public class Dijkshtra {
|
||||||
|
|
||||||
public static void main(String[] args) throws IOException {
|
public static void main(String[] args) {
|
||||||
Scanner in = new Scanner(System.in);
|
Scanner in = new Scanner(System.in);
|
||||||
|
|
||||||
// n = Number of nodes or vertices
|
// n = Number of nodes or vertices
|
||||||
@ -19,48 +17,49 @@ public class Dijkshtra {
|
|||||||
int m = in.nextInt();
|
int m = in.nextInt();
|
||||||
|
|
||||||
// Adjacency Matrix
|
// Adjacency Matrix
|
||||||
long w[][] = new long [n+1][n+1];
|
long[][] w = new long[n + 1][n + 1];
|
||||||
|
|
||||||
//Initializing Matrix with Certain Maximum Value for path b/w any two vertices
|
// Initializing Matrix with Certain Maximum Value for path b/w any two vertices
|
||||||
for (long[] row : w) {
|
for (long[] row : w) {
|
||||||
Arrays.fill(row, 1000000l);
|
Arrays.fill(row, 1000000L);
|
||||||
}
|
}
|
||||||
|
|
||||||
/* From above,we Have assumed that,initially path b/w any two Pair of vertices is Infinite such that Infinite = 1000000l
|
/* From above,we Have assumed that,initially path b/w any two Pair of vertices is Infinite such that Infinite = 1000000l
|
||||||
For simplicity , We can also take path Value = Long.MAX_VALUE , but i have taken Max Value = 1000000l */
|
For simplicity , We can also take path Value = Long.MAX_VALUE , but i have taken Max Value = 1000000l */
|
||||||
|
|
||||||
// Taking Input as Edge Location b/w a pair of vertices
|
// Taking Input as Edge Location b/w a pair of vertices
|
||||||
for(int i = 0; i < m; i++) {
|
for (int i = 0; i < m; i++) {
|
||||||
int x = in.nextInt(),y=in.nextInt();
|
int x = in.nextInt(), y = in.nextInt();
|
||||||
long cmp = in.nextLong();
|
long cmp = in.nextLong();
|
||||||
|
|
||||||
//Comparing previous edge value with current value - Cycle Case
|
// Comparing previous edge value with current value - Cycle Case
|
||||||
if(w[x][y] > cmp) {
|
if (w[x][y] > cmp) {
|
||||||
w[x][y] = cmp; w[y][x] = cmp;
|
w[x][y] = cmp;
|
||||||
|
w[y][x] = cmp;
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
// Implementing Dijkshtra's Algorithm
|
// Implementing Dijkshtra's Algorithm
|
||||||
Stack<Integer> t = new Stack<Integer>();
|
Stack<Integer> t = new Stack<>();
|
||||||
int src = in.nextInt();
|
int src = in.nextInt();
|
||||||
|
|
||||||
for(int i = 1; i <= n; i++) {
|
for (int i = 1; i <= n; i++) {
|
||||||
if(i != src) {
|
if (i != src) {
|
||||||
t.push(i);
|
t.push(i);
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
Stack <Integer> p = new Stack<Integer>();
|
Stack<Integer> p = new Stack<>();
|
||||||
p.push(src);
|
p.push(src);
|
||||||
w[src][src] = 0;
|
w[src][src] = 0;
|
||||||
|
|
||||||
while(!t.isEmpty()) {
|
while (!t.isEmpty()) {
|
||||||
int min = 989997979;
|
int min = 989997979;
|
||||||
int loc = -1;
|
int loc = -1;
|
||||||
|
|
||||||
for(int i = 0; i < t.size(); i++) {
|
for (int i = 0; i < t.size(); i++) {
|
||||||
w[src][t.elementAt(i)] = Math.min(w[src][t.elementAt(i)], w[src][p.peek()] + w[p.peek()][t.elementAt(i)]);
|
w[src][t.elementAt(i)] = Math.min(w[src][t.elementAt(i)], w[src][p.peek()] + w[p.peek()][t.elementAt(i)]);
|
||||||
if(w[src][t.elementAt(i)] <= min) {
|
if (w[src][t.elementAt(i)] <= min) {
|
||||||
min = (int) w[src][t.elementAt(i)];
|
min = (int) w[src][t.elementAt(i)];
|
||||||
loc = i;
|
loc = i;
|
||||||
}
|
}
|
||||||
@ -70,12 +69,12 @@ public class Dijkshtra {
|
|||||||
}
|
}
|
||||||
|
|
||||||
// Printing shortest path from the given source src
|
// Printing shortest path from the given source src
|
||||||
for(int i = 1; i <= n; i++) {
|
for (int i = 1; i <= n; i++) {
|
||||||
if(i != src && w[src][i] != 1000000l) {
|
if (i != src && w[src][i] != 1000000L) {
|
||||||
System.out.print(w[src][i] + " ");
|
System.out.print(w[src][i] + " ");
|
||||||
}
|
}
|
||||||
// Printing -1 if there is no path b/w given pair of edges
|
// Printing -1 if there is no path b/w given pair of edges
|
||||||
else if(i != src) {
|
else if (i != src) {
|
||||||
System.out.print("-1" + " ");
|
System.out.print("-1" + " ");
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
@ -5,19 +5,22 @@ package Others;
|
|||||||
* Dijkstra's algorithm,is a graph search algorithm that solves the single-source
|
* Dijkstra's algorithm,is a graph search algorithm that solves the single-source
|
||||||
* shortest path problem for a graph with nonnegative edge path costs, producing
|
* shortest path problem for a graph with nonnegative edge path costs, producing
|
||||||
* a shortest path tree.
|
* a shortest path tree.
|
||||||
*
|
* <p>
|
||||||
* NOTE: The inputs to Dijkstra's algorithm are a directed and weighted graph consisting
|
* NOTE: The inputs to Dijkstra's algorithm are a directed and weighted graph consisting
|
||||||
* of 2 or more nodes, generally represented by an adjacency matrix or list, and a start node.
|
* of 2 or more nodes, generally represented by an adjacency matrix or list, and a start node.
|
||||||
*
|
* <p>
|
||||||
* Original source of code: https://rosettacode.org/wiki/Dijkstra%27s_algorithm#Java
|
* Original source of code: https://rosettacode.org/wiki/Dijkstra%27s_algorithm#Java
|
||||||
* Also most of the comments are from RosettaCode.
|
* Also most of the comments are from RosettaCode.
|
||||||
*
|
|
||||||
*/
|
*/
|
||||||
//import java.io.*;
|
|
||||||
import java.util.*;
|
import java.util.*;
|
||||||
|
|
||||||
public class Dijkstra {
|
public class Dijkstra {
|
||||||
private static final Graph.Edge[] GRAPH = {
|
private static final Graph.Edge[] GRAPH = {
|
||||||
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
|
// 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
|
||||||
|
new Graph.Edge("a", "b", 7),
|
||||||
new Graph.Edge("a", "c", 9),
|
new Graph.Edge("a", "c", 9),
|
||||||
new Graph.Edge("a", "f", 14),
|
new Graph.Edge("a", "f", 14),
|
||||||
new Graph.Edge("b", "c", 10),
|
new Graph.Edge("b", "c", 10),
|
||||||
@ -43,12 +46,14 @@ public class Dijkstra {
|
|||||||
}
|
}
|
||||||
|
|
||||||
class Graph {
|
class Graph {
|
||||||
private final Map<String, Vertex> graph; // mapping of vertex names to Vertex objects, built from a set of Edges
|
// mapping of vertex names to Vertex objects, built from a set of Edges
|
||||||
|
private final Map<String, Vertex> graph;
|
||||||
|
|
||||||
/** One edge of the graph (only used by Graph constructor) */
|
/** One edge of the graph (only used by Graph constructor) */
|
||||||
public static class Edge {
|
public static class Edge {
|
||||||
public final String v1, v2;
|
public final String v1, v2;
|
||||||
public final int dist;
|
public final int dist;
|
||||||
|
|
||||||
public Edge(String v1, String v2, int dist) {
|
public Edge(String v1, String v2, int dist) {
|
||||||
this.v1 = v1;
|
this.v1 = v1;
|
||||||
this.v2 = v2;
|
this.v2 = v2;
|
||||||
@ -59,7 +64,8 @@ class Graph {
|
|||||||
/** One vertex of the graph, complete with mappings to neighbouring vertices */
|
/** One vertex of the graph, complete with mappings to neighbouring vertices */
|
||||||
public static class Vertex implements Comparable<Vertex> {
|
public static class Vertex implements Comparable<Vertex> {
|
||||||
public final String name;
|
public final String name;
|
||||||
public int dist = Integer.MAX_VALUE; // MAX_VALUE assumed to be infinity
|
// MAX_VALUE assumed to be infinity
|
||||||
|
public int dist = Integer.MAX_VALUE;
|
||||||
public Vertex previous = null;
|
public Vertex previous = null;
|
||||||
public final Map<Vertex, Integer> neighbours = new HashMap<>();
|
public final Map<Vertex, Integer> neighbours = new HashMap<>();
|
||||||
|
|
||||||
@ -70,11 +76,9 @@ class Graph {
|
|||||||
private void printPath() {
|
private void printPath() {
|
||||||
if (this == this.previous) {
|
if (this == this.previous) {
|
||||||
System.out.printf("%s", this.name);
|
System.out.printf("%s", this.name);
|
||||||
}
|
} else if (this.previous == null) {
|
||||||
else if (this.previous == null) {
|
|
||||||
System.out.printf("%s(unreached)", this.name);
|
System.out.printf("%s(unreached)", this.name);
|
||||||
}
|
} else {
|
||||||
else {
|
|
||||||
this.previous.printPath();
|
this.previous.printPath();
|
||||||
System.out.printf(" -> %s(%d)", this.name, this.dist);
|
System.out.printf(" -> %s(%d)", this.name, this.dist);
|
||||||
}
|
}
|
||||||
@ -87,25 +91,26 @@ class Graph {
|
|||||||
return Integer.compare(dist, other.dist);
|
return Integer.compare(dist, other.dist);
|
||||||
}
|
}
|
||||||
|
|
||||||
@Override public String toString() {
|
@Override
|
||||||
|
public String toString() {
|
||||||
return "(" + name + ", " + dist + ")";
|
return "(" + name + ", " + dist + ")";
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
/** Builds a graph from a set of edges */
|
/** Builds a graph from a set of edges */
|
||||||
public Graph(Edge[] edges) {
|
public Graph(Edge[] edges) {
|
||||||
graph = new HashMap<>(edges.length);
|
graph = new HashMap<>(edges.length);
|
||||||
|
|
||||||
//one pass to find all vertices
|
// one pass to find all vertices
|
||||||
for (Edge e : edges) {
|
for (Edge e : edges) {
|
||||||
if (!graph.containsKey(e.v1)) graph.put(e.v1, new Vertex(e.v1));
|
if (!graph.containsKey(e.v1)) graph.put(e.v1, new Vertex(e.v1));
|
||||||
if (!graph.containsKey(e.v2)) graph.put(e.v2, new Vertex(e.v2));
|
if (!graph.containsKey(e.v2)) graph.put(e.v2, new Vertex(e.v2));
|
||||||
}
|
}
|
||||||
|
|
||||||
//another pass to set neighbouring vertices
|
// another pass to set neighbouring vertices
|
||||||
for (Edge e : edges) {
|
for (Edge e : edges) {
|
||||||
graph.get(e.v1).neighbours.put(graph.get(e.v2), e.dist);
|
graph.get(e.v1).neighbours.put(graph.get(e.v2), e.dist);
|
||||||
//graph.get(e.v2).neighbours.put(graph.get(e.v1), e.dist); // also do this for an undirected graph
|
// graph.get(e.v2).neighbours.put(graph.get(e.v1), e.dist); // also do this for an undirected graph
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -132,13 +137,14 @@ class Graph {
|
|||||||
private void dijkstra(final NavigableSet<Vertex> q) {
|
private void dijkstra(final NavigableSet<Vertex> q) {
|
||||||
Vertex u, v;
|
Vertex u, v;
|
||||||
while (!q.isEmpty()) {
|
while (!q.isEmpty()) {
|
||||||
|
// 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
|
||||||
|
|
||||||
u = q.pollFirst(); // vertex with shortest distance (first iteration will return source)
|
// look at distances to each neighbour
|
||||||
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()) {
|
for (Map.Entry<Vertex, Integer> a : u.neighbours.entrySet()) {
|
||||||
v = a.getKey(); //the neighbour in this iteration
|
v = a.getKey(); // the neighbour in this iteration
|
||||||
|
|
||||||
final int alternateDist = u.dist + a.getValue();
|
final int alternateDist = u.dist + a.getValue();
|
||||||
if (alternateDist < v.dist) { // shorter path to neighbour found
|
if (alternateDist < v.dist) { // shorter path to neighbour found
|
||||||
@ -161,6 +167,7 @@ class Graph {
|
|||||||
graph.get(endName).printPath();
|
graph.get(endName).printPath();
|
||||||
System.out.println();
|
System.out.println();
|
||||||
}
|
}
|
||||||
|
|
||||||
/** Prints the path from the source to every vertex (output order is not guaranteed) */
|
/** Prints the path from the source to every vertex (output order is not guaranteed) */
|
||||||
public void printAllPaths() {
|
public void printAllPaths() {
|
||||||
for (Vertex v : graph.values()) {
|
for (Vertex v : graph.values()) {
|
||||||
|
Reference in New Issue
Block a user