CareerCup

I would propose the following pseudo code:

Define number 'nIter' - number of border points you want to plot
Define your plotting accuracy 'eps'
Initialize shape list  	// it will contain shape border points to plot
3. Find point x0 labelled as '0' - inside, via random sampling
4. while (nIter not exceeded) {
 	Find point x1 labelled as '1' - outside via random sampling
	Connect the points x0, x1 by a line
 	Compute the unit vector of this line
 	Perform a binary search in order to find a breakpoint x_br
	such taht: isBounded(x_br) == 0 and isBounded(x_br+eps*unit vector) == 1
 	Add x_br to the list
 	x0 = x_br
}
5. Plot the shape list points on the screen.

Hope this make sense. I am looking forward for some more exciting solutions :)

{
import java.util.Scanner;

class Shape{
	int shapeX=200;
	int shapeY=300;
	
	public void isBounded(int x,int y){
		if(x<shapeX && y<shapeY){
			System.out.println("Both points lie inside shape");
		}else if(x>shapeX && y>shapeY){
			System.out.println("Both points lie outside shape");
		}else if(x==shapeX && y==shapeY){
			System.out.println("Both points lie on the shape");
		}
		else{
			if(x>=shapeX && y<shapeY){
				System.out.println("Point x lies outside shape && point y lies inside shape");
			}else if(x>=shapeX && y==shapeY){
				System.out.println("Point x lies outside shape && point y lies on shape");
			}else if(x<=shapeX && y>=shapeY){
				System.out.println("Point x lies inside shape && point y lies outside shape");
			}else if(x==shapeX && y>=shapeY){
				System.out.println("Point x lies on shape && point y lies outside shape");
			}
		}
	}
}

public class BoundaryConditions {

	public static void main(String[] args) {
			Shape shape=new Shape();
			Scanner sc=new Scanner(System.in);
			int x=sc.nextInt();
			int y=sc.nextInt();
			shape.isBounded(x, y);
	}

}

}

Is this code correct solution?