Explain how to solve the following problem in linear (expected) time. This probl

Question

Explain how to solve the following problem in linear (expected) time. This problem can be modeled as a linear programming (LP) problem, perhaps with some additional pre- and/or post- processing. Explain how the problem is converted into an LP instance and how the answer to the LP instance is used/interpreted to solve the stated problem. You are given two point sets P = {p_1, ..., p_n} and Q = {q_1...., q_m} in the plane, and you are told that they are separated by a vertical line x = x_0, with P to the left and Q to the right (see figure on next page). Compute the line equations of the two crossing tangents, that is, the lines l_1 and l_2 that are both supporting lines for CH(P) and CH(Q) such that P lies 3 below l_1 and above l_2 and the reverse holds for Q. Your algorithm should run in 0(n + m) (expected) time.

Explanation / Answer

import java.sql.Connection;
import java.sql.DriverManager;
import java.sql.ResultSet;
import java.sql.SQLException;
import java.sql.Statement;

public category sound unit association guide = null;

   public DB() catch (ClassNotFoundException e)
   }

   public ResultSet runSql(String sql) throws SQLException {
       Statement sta = guide.createStatement();
       return sta.executeQuery(sql);
   }

   public mathematician runSql2(String sql) throws SQLException {
       Statement sta = guide.createStatement();
       return sta.execute(sql);
   }

   @Override
   protected void finalize() throws Throwable !conn.isClosed()) {
           conn.close();
      
   }
}
4). produce a category with name "Main" which can be our crawler.

import java.io.IOException;
import java.sql.PreparedStatement;
import java.sql.ResultSet;
import java.sql.SQLException;
import java.sql.Statement;
import org.jsoup.Jsoup;
import org.jsoup.nodes.Document;
import org.jsoup.nodes.Element;
import org.jsoup.select.Elements;


public category Main {
   public static sound unit sound unit = new DB();

   public static void main(String[] args) throws SQLException, IOException URL is already in info
       String sql = "select * from Record wherever computer address = '"+URL+"'";
       ResultSet rs = sound unit.runSql(sql);
       if(rs.next())else{
           //store the computer address to info to avoid parsing once more
           sql = "INSERT INTO `Crawler`.`Record` " + "(`URL`) VALUES " + "(?);";
           PreparedStatement stmt = sound unit.conn.prepareStatement(sql, Statement.RETURN_GENERATED_KEYS);
           stmt.setString(1, URL);
           stmt.execute();

           //get helpful info
           Document doc = Jsoup.connect("http://www.mit.edu/").get();

           if(doc.text().contains("research"))

           //get all links and recursively decision the processPage methodology
   components queries = doc.select("a[href]");
           for(Element link: questions)

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