public class EscapeJava {

    public static void main(String[] args) {

        for (int i = 0; i < 100; i++) {

        }
        var a = calculate(generateGrid(100), 100);

        System.out.println(a);
    }

    public static int escape(double cx, double cy, int maximum, double bounds) {
        int i = 0;
        double x = 0;
        double y = 0;

        while (Math.sqrt(x * x + y * y) < bounds && i < maximum) {
            y = 2 * x * y + cy;
            x = x * x - y * y + cx;
            i++;
        }
        return i;
    }

    static class Complex {
        public double real;
        public double imag;

        Complex(double real, double imag) {
            this.real = real;
            this.imag = imag;
        }
    }

    public static Complex[][] generateGrid(int n) {
        Complex[][] grid = new Complex[n][n];
        for (int yi = 0; yi < n; yi++) {
            for (int xi = 0; xi < n; xi++) {
                double cx = -2.0 + (4.0/n) * xi;
                double cy = -2.0 + (4.0/n) * yi;

                grid[yi][xi] = new Complex(cx, cy);
            }
        }
        return grid;
    }

    public static int[][] calculate(Complex[][] grid, int n) {
        int[][] results = new int[n][n];
        for (int yi = 0; yi < n; yi++) {
            for (int xi = 0; xi < n; xi++) {
                Complex c = grid[yi][xi];
                results[yi][xi] = escape(c.real, c.imag, 10, 2);
            }
        }
        return results;
    }
}