def julia_converges(x: float, y: float, max_steps: int, cx: float,
cy: float) -> bool:
'''
Returns True/False if the point (x y) does/doesn't meet the
convergence condition.
Method:
1. Create the complex value z = Complex(x,y)
2. Create the complex value c = Complex(cx,cy)
3. Enter a loop, in which you update z:
z = z.times(z).plus(c)
4. Exit the loop when z gets too big (magnitude > 2: no convergence), or
the loop has run max_steps times (converges).
'''
z = Complex(x, y)
c = Complex(cx, cy)
for i in range(100): # 100 iters
z = z.times(z).plus(c) # iterate
if z.magnitude() > 2: # more than 2
return False # not in Julia Set
return True # after 100 iters, is still < 2
