import turtle as t
import math
import time
import sys


def polygon(n=4, radius=90., offset=(0, 0), alpha_offset=0, direction=1):
    t.penup()
    t.goto(radius * math.cos(alpha_offset) + offset[0], radius * math.sin(alpha_offset) + offset[1])
    t.pendown()
    for i in range(n):
        angle = direction * (i + 1) * 2 * math.pi / n + alpha_offset
        t.goto(radius * math.cos(angle) + offset[0], radius * math.sin(angle) + offset[1])


def star(n=5, r=160):
    # step = n // 2
    for i in range(n):
        t.forward(r)
        t.right(180 - 180 * 1 / n)


num = int(sys.argv[1] if len(sys.argv) > 1 else input('Task: '))
t.shape('turtle')
if num == 3:
    polygon()
elif num == 4:
    polygon(100)
elif num == 5:
    for r in range(70, 160, 10):
        polygon(4, r)
elif num == 9:
    for n in range(3, 10):
        rad = 90 / (2 * math.sin(2 * math.pi / (2 * n)))
        polygon(n, rad)
elif num == 10:
    n = 6
    alpha = 2 * math.pi / n
    r = 90
    for i in range(n):
        polygon(100, r, (r * math.cos(alpha * i), r * math.sin(alpha * i)), -(math.pi - alpha * i))
elif num == 11:
    for n in range(5):
        r = 70 + 10 * n
        polygon(100, r, (r, 0), math.pi)
        polygon(100, r, (-r, 0), direction=-1)

elif num == 6:
    n, r = input('n: '), 90
    for i in range(n):
        t.goto(r * math.cos(i * 2 * math.pi / n), r * math.sin(i * 2 * math.pi / n))
        t.stamp()
        t.goto(0, 0)
elif num == 7:
    k = 20 / (2 * math.pi)
    step = 100
    n = 20
    for phi_ in range(0, int(n * 2 * math.pi * step)):
        phi = phi_ / step
        r = k * phi
        t.goto(r * math.cos(phi), r * math.sin(phi))
elif num == 8:
    for n in range(1, 20):
        # right
        t.forward(10 * n)
        t.left(90)
        # up
        t.forward(10 * (2 * n))
        t.left(90)
        # left
        t.forward(10 * (2 * n))
        t.left(90)
        # down
        t.forward(10 * (n * 2 + 1))
        t.left(90)
        t.forward(10 * n)
elif num == 12:
    t.right(90)
    for _ in range(10):
        t.circle(50, 180)
        t.circle(10, 180)
elif num == 13:
    t.fillcolor('yellow')
    t.begin_fill()
    t.circle(100)
    t.end_fill()
    t.penup()
    t.goto(-50, 110)
    t.pendown()
    t.fillcolor('blue')
    t.begin_fill()
    t.circle(20)
    t.end_fill()
    t.penup()
    t.goto(50, 110)
    t.pendown()
    t.fillcolor('blue')
    t.begin_fill()
    t.circle(20)
    t.end_fill()
    t.up()
    t.goto(-60, 155)
    t.down()

    t.width(3)
    t.setheading(-10)
    t.forward(30)
    t.up()
    t.goto(60, 155)
    t.down()
    t.setheading(180 + 10)
    t.forward(30)
    
    t.up()
    t.goto(0, 100)
    t.down()
    t.width(15)
    t.setheading(270)
    t.forward(25)

    t.up()
    t.goto(-40, 30)
    t.down()
    t.color('red')
    t.seth(0)
    t.forward(80)
elif num == 14:
    star()
time.sleep(float(sys.argv[2]) if len(sys.argv) > 2 else 10)