/******************************************************************************
 * Name: Donna Gabai
 * NetID: dgabai
 * Precept: P99
 * 
 * Fall 2014, Programming Exam 1, Collatz Conjecture:
 * This program plots the length of the first N Collatz sequences, scaled
 * to fit within the unit square.
 * 
 * Dependencies: StdDraw.java, F14Part1.java, F14Part2.java
 ****************************************************************************/

public class F14Part3 {
    
    public static void main(String[] args) {
        int N = Integer.parseInt(args[0]);
        
        // find the max length of the first N collatz sequences
        int max = F14Part2.maxLength(N);
        
        // set pen radius based on N
        if (N < 100) StdDraw.setPenRadius(.05);
        else StdDraw.setPenRadius(.01);
        
        // plot length of each collatz sequence scaled to fit the unit square
        for (int i = 1; i <= N; i++) {
            double x = (double) i / N;
            double y = (double) F14Part1.seqLength(i) / max;
            StdDraw.point(x, y);
        }
    }
}