# Python code here

def mandel(n, m, itermax, xmin, xmax, ymin, ymax):
  ix, iy = mgrid[0:n, 0:m]
  x = linspace(xmin, xmax, n)[ix]
  y = linspace(ymin, ymax, m)[iy]
  c = x+complex(0,1)*y
  del x, y
  img = zeros(c.shape, dtype=int)
  ix.shape = n*m
  iy.shape = n*m
  c.shape = n*m
  z = copy(c)
  for i in xrange(itermax):
    if not len(z): break
    multiply(z, z, z)
    add(z, c, z)
    rem = abs(z)>2.0
    img[ix[rem], iy[rem]] = i+1
    rem = -rem
    z = z[rem]
    ix, iy = ix[rem], iy[rem]
    c = c[rem]
  return img