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1 change: 1 addition & 0 deletions DIRECTORY.md
Original file line number Diff line number Diff line change
Expand Up @@ -912,6 +912,7 @@
* [QueueUsingTwoStacksTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/QueueUsingTwoStacksTest.java)
* [RemoveDuplicateFromStringTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/RemoveDuplicateFromStringTest.java)
* [ReverseStackUsingRecursionTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/ReverseStackUsingRecursionTest.java)
* [SkylineProblemTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/SkylineProblemTest.java)
* [TestPrintMatrixInSpiralOrder](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/TestPrintMatrixInSpiralOrder.java)
* [TwoPointersTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/TwoPointersTest.java)
* [WorstFitCPUTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/WorstFitCPUTest.java)
Expand Down
99 changes: 56 additions & 43 deletions src/main/java/com/thealgorithms/others/SkylineProblem.java
Original file line number Diff line number Diff line change
@@ -1,69 +1,68 @@
package com.thealgorithms.others;

import java.util.ArrayList;
import java.util.Iterator;
import java.util.Scanner;

/**
* The {@code SkylineProblem} class is used to solve the skyline problem using a
* divide-and-conquer approach.
* It reads input for building data, processes it to find the skyline, and
* prints the skyline.
*/
public class SkylineProblem {

Building[] building;
int count;

public void run() {
Scanner sc = new Scanner(System.in);

int num = sc.nextInt();
this.building = new Building[num];

for (int i = 0; i < num; i++) {
String input = sc.next();
String[] data = input.split(",");
this.add(Integer.parseInt(data[0]), Integer.parseInt(data[1]), Integer.parseInt(data[2]));
}
this.print(this.findSkyline(0, num - 1));

sc.close();
}

/**
* Adds a building with the given left, height, and right values to the
* buildings list.
*
* @param left The left x-coordinate of the building.
* @param height The height of the building.
* @param right The right x-coordinate of the building.
*/
public void add(int left, int height, int right) {
building[count++] = new Building(left, height, right);
}

public void print(ArrayList<Skyline> skyline) {
Iterator<Skyline> it = skyline.iterator();

while (it.hasNext()) {
Skyline temp = it.next();
System.out.print(temp.coordinates + "," + temp.height);
if (it.hasNext()) {
System.out.print(",");
}
}
}

/**
* Computes the skyline for a range of buildings using the divide-and-conquer
* strategy.
*
* @param start The starting index of the buildings to process.
* @param end The ending index of the buildings to process.
* @return A list of {@link Skyline} objects representing the computed skyline.
*/
public ArrayList<Skyline> findSkyline(int start, int end) {
// Base case: only one building, return its skyline.
if (start == end) {
ArrayList<Skyline> list = new ArrayList<>();
list.add(new Skyline(building[start].left, building[start].height));
list.add(new Skyline(building[end].right, 0));

list.add(new Skyline(building[end].right, 0)); // Add the end of the building
return list;
}

int mid = (start + end) / 2;

ArrayList<Skyline> sky1 = this.findSkyline(start, mid);
ArrayList<Skyline> sky2 = this.findSkyline(mid + 1, end);

return this.mergeSkyline(sky1, sky2);
ArrayList<Skyline> sky1 = this.findSkyline(start, mid); // Find the skyline of the left half
ArrayList<Skyline> sky2 = this.findSkyline(mid + 1, end); // Find the skyline of the right half
return this.mergeSkyline(sky1, sky2); // Merge the two skylines
}

/**
* Merges two skylines (sky1 and sky2) into one combined skyline.
*
* @param sky1 The first skyline list.
* @param sky2 The second skyline list.
* @return A list of {@link Skyline} objects representing the merged skyline.
*/
public ArrayList<Skyline> mergeSkyline(ArrayList<Skyline> sky1, ArrayList<Skyline> sky2) {
int currentH1 = 0;
int currentH2 = 0;
ArrayList<Skyline> skyline = new ArrayList<>();
int maxH = 0;

// Merge the two skylines
while (!sky1.isEmpty() && !sky2.isEmpty()) {
if (sky1.get(0).coordinates < sky2.get(0).coordinates) {
int currentX = sky1.get(0).coordinates;
Expand Down Expand Up @@ -96,6 +95,7 @@ public ArrayList<Skyline> mergeSkyline(ArrayList<Skyline> sky1, ArrayList<Skylin
}
}

// Add any remaining points from sky1 or sky2
while (!sky1.isEmpty()) {
skyline.add(sky1.get(0));
sky1.remove(0);
Expand All @@ -109,32 +109,45 @@ public ArrayList<Skyline> mergeSkyline(ArrayList<Skyline> sky1, ArrayList<Skylin
return skyline;
}

/**
* A class representing a point in the skyline with its x-coordinate and height.
*/
public class Skyline {

public int coordinates;
public int height;

/**
* Constructor for the {@code Skyline} class.
*
* @param coordinates The x-coordinate of the skyline point.
* @param height The height of the skyline at the given coordinate.
*/
public Skyline(int coordinates, int height) {
this.coordinates = coordinates;
this.height = height;
}
}

/**
* A class representing a building with its left, height, and right
* x-coordinates.
*/
public class Building {

public int left;
public int height;
public int right;

/**
* Constructor for the {@code Building} class.
*
* @param left The left x-coordinate of the building.
* @param height The height of the building.
* @param right The right x-coordinate of the building.
*/
public Building(int left, int height, int right) {
this.left = left;
this.height = height;
this.right = right;
}
}

public static void main(String[] args) {
SkylineProblem skylineProblem = new SkylineProblem();
skylineProblem.run();
}
}
86 changes: 86 additions & 0 deletions src/test/java/com/thealgorithms/others/SkylineProblemTest.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,86 @@
package com.thealgorithms.others;

import static org.junit.jupiter.api.Assertions.assertEquals;

import java.util.ArrayList;
import org.junit.jupiter.api.Test;

public class SkylineProblemTest {

@Test
public void testSingleBuildingSkyline() {
SkylineProblem skylineProblem = new SkylineProblem();
skylineProblem.building = new SkylineProblem.Building[1];
skylineProblem.add(2, 10, 9);

ArrayList<SkylineProblem.Skyline> result = skylineProblem.findSkyline(0, 0);

assertEquals(2, result.get(0).coordinates);
assertEquals(10, result.get(0).height);
assertEquals(9, result.get(1).coordinates);
assertEquals(0, result.get(1).height);
}

@Test
public void testTwoBuildingsSkyline() {
SkylineProblem skylineProblem = new SkylineProblem();
skylineProblem.building = new SkylineProblem.Building[2];
skylineProblem.add(1, 11, 5);
skylineProblem.add(2, 6, 7);

ArrayList<SkylineProblem.Skyline> result = skylineProblem.findSkyline(0, 1);

// Expected skyline points: (1, 11), (5, 6), (7, 0)
assertEquals(1, result.get(0).coordinates);
assertEquals(11, result.get(0).height);
assertEquals(5, result.get(1).coordinates);
assertEquals(6, result.get(1).height);
assertEquals(7, result.get(2).coordinates);
assertEquals(0, result.get(2).height);
}

@Test
public void testMergeSkyline() {
SkylineProblem skylineProblem = new SkylineProblem();
ArrayList<SkylineProblem.Skyline> sky1 = new ArrayList<>();
ArrayList<SkylineProblem.Skyline> sky2 = new ArrayList<>();

sky1.add(skylineProblem.new Skyline(2, 10));
sky1.add(skylineProblem.new Skyline(9, 0));

sky2.add(skylineProblem.new Skyline(3, 15));
sky2.add(skylineProblem.new Skyline(7, 0));

ArrayList<SkylineProblem.Skyline> result = skylineProblem.mergeSkyline(sky1, sky2);

// Expected merged skyline: (2, 10), (3, 15), (7, 10), (9, 0)
assertEquals(2, result.get(0).coordinates);
assertEquals(10, result.get(0).height);
assertEquals(3, result.get(1).coordinates);
assertEquals(15, result.get(1).height);
assertEquals(7, result.get(2).coordinates);
assertEquals(10, result.get(2).height);
assertEquals(9, result.get(3).coordinates);
assertEquals(0, result.get(3).height);
}

@Test
public void testMultipleBuildingsSkyline() {
SkylineProblem skylineProblem = new SkylineProblem();
skylineProblem.building = new SkylineProblem.Building[3];
skylineProblem.add(1, 10, 5);
skylineProblem.add(2, 15, 7);
skylineProblem.add(3, 12, 9);

ArrayList<SkylineProblem.Skyline> result = skylineProblem.findSkyline(0, 2);

assertEquals(1, result.get(0).coordinates);
assertEquals(10, result.get(0).height);
assertEquals(2, result.get(1).coordinates);
assertEquals(15, result.get(1).height);
assertEquals(7, result.get(2).coordinates);
assertEquals(12, result.get(2).height);
assertEquals(9, result.get(3).coordinates);
assertEquals(0, result.get(3).height);
}
}