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\documentclass{article}
\usepackage{geometry}
\geometry{a4paper, margin=0.5in, bottom=1in}
\usepackage[utf8]{inputenc}
\usepackage{eufrak}
\usepackage{stmaryrd}
import javax.swing.JFrame;
import java.awt.Color;
import java.awt.Graphics;
import java.util.Random;
import java.util.List;
import java.util.LinkedList;
import java.util.Set;
import java.util.HashSet;
import java.awt.event.MouseEvent;
import java.awt.event.MouseAdapter;