import math

def draw_star(center_x, center_y, r_outer, r_inner):
    """
    Generates coordinates for a 5-pointed star.

    Args:
        center_x: X-coordinate of the star's center.
        center_y: Y-coordinate of the star's center.
        r_outer: Radius to the outer points.
        r_inner: Radius to the inner points.
    """

    n = 5  # Number of points in the star
    angle_increment = math.pi / n  # Angle between each point

    # Outer points
    outer_points = []
    for i in range(n):
        angle = i * 2 * angle_increment
        x = center_x + r_outer * math.cos(angle)
        y = center_y + r_outer * math.sin(angle)
        outer_points.append((x, y))

    # Inner points
    inner_points = []
    for i in range(n):
        angle = (i * 2 * angle_increment) + angle_increment
        x = center_x + r_inner * math.cos(angle)
        y = center_y + r_inner * math.sin(angle)
        inner_points.append((x,y))

    # Print or use the coordinates as needed
    print("Outer points:", outer_points)
    print("Inner points:", inner_points)

# Example usage:
draw_star(0, 0, 100, 50)