import java.awt.*;
import java.util.*;

class line
{
    static double TOLERANCE = .001;

    
    
    public static void main(String[]args) {
	Point A = new Point (0,0);
	Point B = new Point (5,5);
	Point C = new Point (10,10);
	if (isOn(A,B,C))
	    System.out.println ("They intersect!");
	else
	    System.out.println ("no meet.");
    }
    
    //Checks to see if any of the points lies on the line connecting
    //any of the other two
    
    public static boolean isOn (Point A, Point B, Point C) {
	double TOLERANCE = .001;
	
	Point Left = new Point();
	Point Right = new Point();
	Point Middle = new Point();
	//Put the points in order- catagorize A, B, and C as
	//Left, Right, and Middle
	if(A.equals(C) || B.equals(C))
		return false;
	
	
	if (A.getX() < B.getX()) {
	    if (C.getX() < A.getX()) {
		Left = C; Middle = A; Right = B;
	    } 
	    else if (C.getX() < B.getX()){
		Left = A; Middle = C; Right = B;
	    } else {
		Left = A; Middle = B; Right = C;
	    }
	} else { //B < A
	    if (C.getX() < B.getX()) {
		Left = C; Middle = B; Right = A;
	    } 
	    else if (C.getX() < A.getX()){
		Left = B; Middle = C; Right = A;
	    } else {
		Left = B; Middle = A; Right = C;
	    }
	}
	
	//System.out.println ("Left: " + Left.getX() + " Middle " + Middle.getX()
	//		    + " Right " + Right.getX());
	
	//Now they're ordered properly- special case where Left.X = Middle.X
	//if ((int)Left.getX() == (int)Middle.getX())
	//    if ((int)Left.getY() == (int)Middle.getY()) return true;
	//    else return false;
	//special case where Middle.X = Right.X
	//if ((int)Middle.getX() == (int)Right.getX())
	//    if ((int)Middle.getY() == (int)Right.getY()) return true;
	//    else return false;
	//Special cases done,find if
	//Middle lies on the line between left and right
	
		//Infinite Slope case
	if (Left.getX() == Middle.getX() && Middle.getX() == Right.getX())
		if ((Left.getY() > Middle.getY && Right.getY() < MiddlegetY) ||
			(Left.getY() < Middle.getY && Right.getY() > MiddlegetY))
			return true;
			
	
	
	double slope = (double)(Left.getY() - Right.getY())/
			(Left.getX() - Right.getX());
	double projectedY = (double) (Left.getY() + 
				      slope*(Middle.getX() - Left.getX()));
	//System.out.println ("Slope " + slope + " projectedY " + projectedY);
		
	if (Math.abs(projectedY - Middle.getY()) < TOLERANCE)
	    return true;
	return false;
    }
}