Based on CubeNetImpl, write CubeImpl and CubeSolver in Java language package model; import java.util.Set; public interface Cube { public Set getAllPossibleCubeNets(); } package model; import java.awt.Color; public interface CubeNet { public Color getTop(); public Color getFront(); public Color getRight(); public Color getBack(); public Color getLeft(); public Color getBottom(); } package model; public enum Face { TOP, FRONT, RIGHT, BACK, LEFT, BOTTOM; } package model; public class CubeNetImpl implements CubeNet { private Color top; private Color front; private Color right; private Color left; private Color bottom; private Color back; private Set> allPossibleMaps = null; private Integer hashCode = null; private static long timeSpentHashCode = 0; private static long timeSpentInSetAddMillis = 0; private static boolean CALCULATE_POSSIBLE_MAPS_ONE_TIME = false; private static boolean CALCULATE_HASHCODE_ONE_TIME = false; private static int HASHCODE_LEVEL = 1; public CubeNetImpl(Map faceToColorMap) { assert faceToColorMap != null : "faceToColorMap is null!"; top = faceToColorMap.get(Face.TOP); front = faceToColorMap.get(Face.FRONT); right = faceToColorMap.get(Face.RIGHT); left = faceToColorMap.get(Face.LEFT); back = faceToColorMap.get(Face.BACK); bottom = faceToColorMap.get(Face.BOTTOM); if (CALCULATE_POSSIBLE_MAPS_ONE_TIME) { long startTime = System.currentTimeMillis(); allPossibleMaps = generateAllPossibleMaps(); long endTime = System.currentTimeMillis(); timeSpentInSetAddMillis += endTime - startTime; CALCULATE_POSSIBLE_MAPS_ONE_TIME = false; } if (CALCULATE_HASHCODE_ONE_TIME) { long startTime = System.currentTimeMillis(); hashCode(HASHCODE_LEVEL); long endTime = System.currentTimeMillis(); timeSpentHashCode += endTime - startTime; CALCULATE_HASHCODE_ONE_TIME = false; } } @Override public Color getTop() { return top; } @Override public Color getFront() { return front; } @Override public Color getRight() { return right; } @Override public Color getBack() { return back; } @Override public Color getLeft() { return left; } @Override public Color getBottom() { return bottom; } private int getDistinctColorCount() { Set distinctColors = new HashSet(); distinctColors.add(top); distinctColors.add(front); distinctColors.add(right); distinctColors.add(left); distinctColors.add(bottom); return distinctColors.size(); } private Set> generateAllPossibleMaps() { Set> allMaps = new HashSet<>(); Map initialMap = new HashMap<>(); initialMap.put(Face.FRONT, Color.RED); initialMap.put(Face.BACK, Color.ORANGE); initialMap.put(Face.TOP, Color.WHITE); initialMap.put(Face.BOTTOM, Color.YELLOW); initialMap.put(Face.LEFT, Color.GREEN); initialMap.put(Face.RIGHT, Color.BLUE); generateAllPossibleMapsHelper(allMaps, initialMap); return allMaps; } private void generateAllPossibleMapsHelper(Set> allMaps, Map currentMap) { if (currentMap.size() == 6) { allMaps.add(new HashMap<>(currentMap)); return; } Set usedColors = new HashSet<>(currentMap.values()); for (Color color : Color..

1. Based on CubeNetImpl, write CubeImpl and CubeSolver in Java language
package model;
import java.util.Set;
public interface Cube {
public Set getAllPossibleCubeNets();
}
package model;
import java.awt.Color;
public interface CubeNet {
public Color getTop();
public Color getFront();
public Color getRight();
public Color getBack();
public Color getLeft();
public Color getBottom();
}
package model;
public enum Face {
TOP, FRONT, RIGHT, BACK, LEFT, BOTTOM;
}
package model;
public class CubeNetImpl implements CubeNet
{
private Color top;
private Color front;
private Color right;
private Color left;
private Color bottom;
private Color back;
private Set> allPossibleMaps = null;
private Integer hashCode = null;
private static long timeSpentHashCode = 0;

2. private static long timeSpentInSetAddMillis = 0;
private static boolean CALCULATE_POSSIBLE_MAPS_ONE_TIME = false;
private static boolean CALCULATE_HASHCODE_ONE_TIME = false;
private static int HASHCODE_LEVEL = 1;
public CubeNetImpl(Map faceToColorMap)
{
assert faceToColorMap != null : "faceToColorMap is null!";
top = faceToColorMap.get(Face.TOP);
front = faceToColorMap.get(Face.FRONT);
right = faceToColorMap.get(Face.RIGHT);
left = faceToColorMap.get(Face.LEFT);
back = faceToColorMap.get(Face.BACK);
bottom = faceToColorMap.get(Face.BOTTOM);
if (CALCULATE_POSSIBLE_MAPS_ONE_TIME) {
long startTime = System.currentTimeMillis();
allPossibleMaps = generateAllPossibleMaps();
long endTime = System.currentTimeMillis();
timeSpentInSetAddMillis += endTime - startTime;
CALCULATE_POSSIBLE_MAPS_ONE_TIME = false;
}
if (CALCULATE_HASHCODE_ONE_TIME) {
long startTime = System.currentTimeMillis();
hashCode(HASHCODE_LEVEL);
long endTime = System.currentTimeMillis();
timeSpentHashCode += endTime - startTime;
CALCULATE_HASHCODE_ONE_TIME = false;
}
}
@Override
public Color getTop()
{
return top;
}

3. @Override
public Color getFront()
{
return front;
}
@Override
public Color getRight()
{
return right;
}
@Override
public Color getBack()
{
return back;
}
@Override
public Color getLeft()
{
return left;
}
@Override
public Color getBottom()
{
return bottom;
}
private int getDistinctColorCount() {
Set distinctColors = new HashSet();
distinctColors.add(top);
distinctColors.add(front);
distinctColors.add(right);
distinctColors.add(left);
distinctColors.add(bottom);
return distinctColors.size();
}

4. private Set> generateAllPossibleMaps() {
Set> allMaps = new HashSet<>();
Map initialMap = new HashMap<>();
initialMap.put(Face.FRONT, Color.RED);
initialMap.put(Face.BACK, Color.ORANGE);
initialMap.put(Face.TOP, Color.WHITE);
initialMap.put(Face.BOTTOM, Color.YELLOW);
initialMap.put(Face.LEFT, Color.GREEN);
initialMap.put(Face.RIGHT, Color.BLUE);
generateAllPossibleMapsHelper(allMaps, initialMap);
return allMaps;
}
private void generateAllPossibleMapsHelper(Set> allMaps, Map currentMap) {
if (currentMap.size() == 6) {
allMaps.add(new HashMap<>(currentMap));
return;
}
Set usedColors = new HashSet<>(currentMap.values());
for (Color color : Color.class.getEnumConstants()) {
if (!usedColors.contains(color)) {
currentMap.put(getNextFace(currentMap), color);
generateAllPossibleMapsHelper(allMaps, currentMap);
currentMap.remove(getNextFace(currentMap));
}
}
}
private Face getNextFace(Map currentMap) {
for (Face face : Face.values()) {
if (!currentMap.containsKey(face)) {
return face;
}
}

5. return null;
}
public int hashCode(int level)
{
int hashCode = 0;
if(this.hashCode != null) {
hashCode = this.hashCode();
}
else if (level == 0) {
hashCode = 0;
}
else if (level == 1) {
hashCode = (top.getRGB() + bottom.getRGB() + left.getRGB() + front.getRGB() +
back.getRGB() + right.getRGB());
}
else if(level == 2) {
hashCode = getDistinctColorCount();
}
else
{
assert level == 0 : "level = " + level + "is uniterpretable";
}
return hashCode;
}
public static Color getColorForFace(Face face, CubeNetImpl_Opinca cubeNet) {
switch (face) {
case TOP:
return cubeNet.getTop();
case FRONT:
return cubeNet.getFront();
case RIGHT:
return cubeNet.getRight();
case BACK:

6. return cubeNet.getBack();
case LEFT:
return cubeNet.getLeft();
case BOTTOM:
return cubeNet.getBottom();
default:
return null;
}
}
@Override
public int hashCode()
{
if (CALCULATE_HASHCODE_ONE_TIME) {
long startTime = System.currentTimeMillis();
hashCode(HASHCODE_LEVEL);
long endTime = System.currentTimeMillis();
timeSpentHashCode += endTime - startTime;
CALCULATE_HASHCODE_ONE_TIME = false;
}
return hashCode;
}
@Override
public boolean equals(Object obj) {
if (obj == this) {
return true;
}
if (obj == null || obj.getClass() != this.getClass()) {
return false;
}
CubeNetImpl other = (CubeNetImpl) obj;
return top.equals(other.top) &&
front.equals(other.front) &&
right.equals(other.right) &&
left.equals(other.left) &&

7. bottom.equals(other.bottom) &&
back.equals(other.back);
}
@Override
public String toString() {
return "CubeNetImpl{" +
" top = " + top +
", front = " + front +
", right = " + right +
", back = " + back +
", left = " + left +
", bottom = " + bottom +
'}';
}
}
package model;
import java.util.Set;
public class CubeImpl_Skeleton implements Cube
{
public CubeImpl_Skeleton(CubeNet cubeNetRepresentative)
{
assert cubeNetRepresentative != null : "cubeNetRepresentative is null!";
throw new RuntimeException("NOT IMPLEMENTED YET!");
}
@Override
public Set getAllPossibleCubeNets()
{
throw new RuntimeException("NOT IMPLEMENTED YET!");
}
}
public class CubeSolverImpl{
private CubeSolverImpl() {
assert false : "DO NOT INSTANTIATE!"; }
public static Set getDistinctSolidCubes(Set colors) {
Set cubes = new HashSet<>();

8. // Generate all possible nets for a cube
// For each net, try to color it with the given set of colors
// Check if each cube in the net can be colored with the given set of colors
// If all cubes in the net can be colored, create a Cube object and add it to the set
}
}