Add third task

.idea/compiler.xml

+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="CompilerConfiguration">
+    <annotationProcessing>
+      <profile name="Maven default annotation processors profile" enabled="true">
+        <sourceOutputDir name="target/generated-sources/annotations" />
+        <sourceTestOutputDir name="target/generated-test-sources/test-annotations" />
+        <outputRelativeToContentRoot value="true" />
+        <module name="untitled6" />
+        <module name="untitled15" />
+      </profile>
+    </annotationProcessing>
+  </component>
+</project>
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.idea/encodings.xml

+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="Encoding">
+    <file url="file://$PROJECT_DIR$/task1/src/main/java" charset="UTF-8" />
+    <file url="file://$PROJECT_DIR$/task1/src/main/resources" charset="UTF-8" />
+    <file url="file://$PROJECT_DIR$/task3/src/main/java" charset="UTF-8" />
+    <file url="file://$PROJECT_DIR$/task3/src/main/resources" charset="UTF-8" />
+  </component>
+</project>
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.idea/jarRepositories.xml

+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="RemoteRepositoriesConfiguration">
+    <remote-repository>
+      <option name="id" value="central" />
+      <option name="name" value="Central Repository" />
+      <option name="url" value="https://repo.maven.apache.org/maven2" />
+    </remote-repository>
+    <remote-repository>
+      <option name="id" value="central" />
+      <option name="name" value="Maven Central repository" />
+      <option name="url" value="https://repo1.maven.org/maven2" />
+    </remote-repository>
+    <remote-repository>
+      <option name="id" value="jboss.community" />
+      <option name="name" value="JBoss Community repository" />
+      <option name="url" value="https://repository.jboss.org/nexus/content/repositories/public/" />
+    </remote-repository>
+  </component>
+</project>
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.idea/misc.xml

 <?xml version="1.0" encoding="UTF-8"?>
 <project version="4">
-  <component name="ProjectRootManager">
+  <component name="ExternalStorageConfigurationManager" enabled="true" />
+  <component name="MavenProjectsManager">
+    <option name="originalFiles">
+      <list>
+        <option value="$PROJECT_DIR$/task1/pom.xml" />
+        <option value="$PROJECT_DIR$/task3/pom.xml" />
+      </list>
+    </option>
+  </component>
+  <component name="ProjectRootManager" version="2" languageLevel="JDK_19" default="true" project-jdk-name="openjdk-19" project-jdk-type="JavaSDK">
     <output url="file://$PROJECT_DIR$/out" />
   </component>
   <component name="ProjectType">

task3/.gitignore

+target/
+!.mvn/wrapper/maven-wrapper.jar
+!**/src/main/**/target/
+!**/src/test/**/target/
+
+### IntelliJ IDEA ###
+.idea/modules.xml
+.idea/jarRepositories.xml
+.idea/compiler.xml
+.idea/libraries/
+*.iws
+*.iml
+*.ipr
+
+### Eclipse ###
+.apt_generated
+.classpath
+.factorypath
+.project
+.settings
+.springBeans
+.sts4-cache
+
+### NetBeans ###
+/nbproject/private/
+/nbbuild/
+/dist/
+/nbdist/
+/.nb-gradle/
+build/
+!**/src/main/**/build/
+!**/src/test/**/build/
+
+### VS Code ###
+.vscode/
+
+### Mac OS ###
+.DS_Store
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task3/pom.xml

+<?xml version="1.0" encoding="UTF-8"?>
+<project xmlns="http://maven.apache.org/POM/4.0.0"
+         xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
+         xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
+    <modelVersion>4.0.0</modelVersion>
+
+    <groupId>org.example</groupId>
+    <artifactId>untitled15</artifactId>
+    <version>1.0-SNAPSHOT</version>
+
+    <properties>
+        <maven.compiler.source>17</maven.compiler.source>
+        <maven.compiler.target>17</maven.compiler.target>
+        <project.build.sourceEncoding>UTF-8</project.build.sourceEncoding>
+    </properties>
+
+</project>
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task3/src/main/java/org/example/Main.java

+package org.example;
+
+import javax.swing.*;
+import java.awt.*;
+import java.awt.event.MouseAdapter;
+import java.awt.event.MouseEvent;
+import java.awt.geom.Point2D;
+import java.util.ArrayList;
+import java.util.List;
+
+public class Main extends JFrame {
+    private List<Point2D.Double> controlPoints = new ArrayList<>();
+    private Point2D.Double selectedPoint = null;
+
+    public Main() {
+        setTitle("Cubic Bezier Curve Visualization");
+        setSize(800, 600);
+        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
+        setVisible(true);
+
+        MyCanvas canvas = new MyCanvas();
+        add(canvas);
+
+        canvas.addMouseListener(new MouseAdapter() {
+            @Override
+            public void mousePressed(MouseEvent e) {
+                double mouseX = e.getX();
+                double mouseY = e.getY();
+
+                if (SwingUtilities.isRightMouseButton(e)) {
+                    // Remove the closest control point when right-clicked
+                    removeClosestControlPoint(mouseX, mouseY);
+                } else {
+                    for (Point2D.Double point : controlPoints) {
+                        if (point.distance(mouseX, mouseY) <= 5) {
+                            selectedPoint = point;
+                            return;
+                        }
+                    }
+
+                    controlPoints.add(new Point2D.Double(mouseX, mouseY));
+                }
+                canvas.repaint();
+            }
+        });
+
+        canvas.addMouseMotionListener(new MouseAdapter() {
+            @Override
+            public void mouseDragged(MouseEvent e) {
+                if (selectedPoint != null) {
+                    selectedPoint.setLocation(e.getPoint());
+                    canvas.repaint();
+                }
+            }
+        });
+    }
+
+    private class MyCanvas extends JPanel {
+        @Override
+        protected void paintComponent(Graphics g) {
+            super.paintComponent(g);
+            Graphics2D g2d = (Graphics2D) g;
+
+            // Draw control points
+            g2d.setColor(Color.RED);
+            for (Point2D.Double point : controlPoints) {
+                int x = (int) point.getX();
+                int y = (int) point.getY();
+                g2d.fillOval(x - 5, y - 5, 10, 10);
+            }
+
+            // Draw Bezier curve
+            g2d.setColor(Color.BLUE);
+            g2d.setStroke(new BasicStroke(2));
+            int numSegments = 100;
+            double[] xPoints = new double[numSegments + 1];
+            double[] yPoints = new double[numSegments + 1];
+
+            if (controlPoints.size() >= 4) {
+                for (int i = 0; i <= numSegments; i++) {
+                    double t = (double) i / numSegments;
+                    xPoints[i] = 0;
+                    yPoints[i] = 0;
+                    for (int j = 0; j < controlPoints.size(); j++) {
+                        double blend = blendFunction(controlPoints.size() - 1, j, t);
+                        xPoints[i] += blend * controlPoints.get(j).getX();
+                        yPoints[i] += blend * controlPoints.get(j).getY();
+                    }
+                }
+            }
+
+            for (int i = 1; i <= numSegments; i++) {
+                int x1 = (int) xPoints[i - 1];
+                int y1 = (int) yPoints[i - 1];
+                int x2 = (int) xPoints[i];
+                int y2 = (int) yPoints[i];
+                g2d.drawLine(x1, y1, x2, y2);
+            }
+        }
+
+        private double blendFunction(int n, int i, double t) {
+            int k = n - i;
+            double binomialCoefficient = factorial(n) / (factorial(i) * factorial(k));
+            return binomialCoefficient * Math.pow(t, i) * Math.pow(1 - t, k);
+        }
+
+        private double factorial(int n) {
+            if (n == 0) return 1;
+            double result = 1;
+            for (int i = 1; i <= n; i++) {
+                result *= i;
+            }
+            return result;
+        }
+    }
+
+    private void removeClosestControlPoint(double x, double y) {
+        Point2D.Double closestPoint = null;
+        double minDistance = Double.MAX_VALUE;
+        for (Point2D.Double point : controlPoints) {
+            double distance = point.distance(x, y);
+            if (distance < minDistance) {
+                minDistance = distance;
+                closestPoint = point;
+            }
+        }
+
+        if (closestPoint != null) {
+            controlPoints.remove(closestPoint);
+        }
+
+        // Clear all points if fewer than 4 points are left
+        if (controlPoints.size() < 4) {
+            controlPoints.clear();
+        }
+    }
+
+    public static void main(String[] args) {
+        SwingUtilities.invokeLater(() -> {
+            new Main();
+        });
+    }
+}