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from turtle import *
from math import *
from time import sleep
from random import randint

def rot(x,y):
    return [x * r2 - y * r2 - 70, x * r2 + y * r2 - 155]  

def fractales_arrondies(n, k, s, a, ra): 
    x0, x1, x2, xd, xa = 0, 0, 0, 0, np
    [y0, y1, y2, yd, ya] = [np/5]*5
    penup()
    [xe, ye] = rot(x0, y0)
    goto(xe, ye)
    pendown()
    a0 = atan2(ya-yd,xa-xd)
    l0 = sqrt((xa-xd)**2 + (ya-yd)**2)
    i = 0
    while i <= n**k-1:
        ll, aa, bb, t1 = l0, a0, 1, i
        j = k-1
        while j >= 0:
            r = n**j ; t2 = floor(t1/r)
            aa += a[t2] ; ll *= l[t2]
            cc = t2 in ra
            t1 -= t2*r
            j = -1 if cc else j-1
        i += r if cc else 1
        x0, x1 = x1, x2 ; y0, y1 = y1, y2
        x2 += ll*cos(aa) ; y2 += ll*sin(aa)
        vx, vy, wx, wy = x1-x0, y1-y0, x2-x1, y2-y1
        for k4 in range(s+1):
            an = pi/2*k4/s ; co, si = cos(an), sin(an)
            xq = (x0+x2+co*(-wx)+si*vx)/2
            yq = (y0+y2+co*(-wy)+si*vy)/2
            [xe, ye] = rot(xq, yq)
            goto(xe,ye)
            pendown()

r2 = sqrt(2)/2
np = 310
n, k, s = 9, 3, 10
l = [1/3]*n
a = [0, pi/2, 0, -pi/2, pi, -pi/2, 0, pi/2, 0]
while True:
 reset()
 hideturtle()
 speed(0)
 pensize(2)
 ra = []
 for i in range(n):
     if randint(0,1): ra.append(i)
 fractales_arrondies(n, k, s, a, ra)
 sleep(1)