code: def dfoxs(n, nprob, factor):
      x = np.zeros(n)
  
      if nprob == 1 or nprob == 2 or nprob == 3:  # Linear functions.
          x = np.ones(n)
      elif nprob == 4:  # Rosenbrock function.
          x[0] = -1.2
          x[1] = 1
      elif nprob == 5:  # Helical valley function.
          x[0] = -1
      elif nprob == 6:  # Powell singular function.
          x[0] = 3
          x[1] = -1
          x[2] = 0
          x[3] = 1
      elif nprob == 7:  # Freudenstein and Roth function.
          x[0] = 0.5
          x[1] = -2
      elif nprob == 8:  # Bard function.
          x[0] = 1
          x[1] = 1
          x[2] = 1
      elif nprob == 9:  # Kowalik and Osborne function.
          x[0] = 0.25
          x[1] = 0.39
          x[2] = 0.415
          x[3] = 0.39
      elif nprob == 10:  # Meyer function.
          x[0] = 0.02
          x[1] = 4000
          x[2] = 250
      elif nprob == 11:  # Watson function.
          x = 0.5 * np.ones(n)
      elif nprob == 12:  # Box 3-dimensional function.
          x[0] = 0
          x[1] = 10
          x[2] = 20
      elif nprob == 13:  # Jennrich and Sampson function.
          x[0] = 0.3
          x[1] = 0.4
      elif nprob == 14:  # Brown and Dennis function.
          x[0] = 25
          x[1] = 5
          x[2] = -5
          x[3] = -1
      elif nprob == 15:  # Chebyquad function.
          for k in range(n):
              x[k] = (k + 1) / (n + 1)
      elif nprob == 16:  # Brown almost-linear function.
          x = 0.5 * np.ones(n)
      elif nprob == 17:  # Osborne 1 function.
          x[0] = 0.5
          x[1] = 1.5
          x[2] = 1
          x[3] = 0.01
          x[4] = 0.02
      elif nprob == 18:  # Osborne 2 function.
          x[0] = 1.3
          x[1] = 0.65
          x[2] = 0.65
          x[3] = 0.7
          x[4] = 0.6
          x[5] = 3
          x[6] = 5
          x[7] = 7
          x[8] = 2
          x[9] = 4.5
          x[10] = 5.5
      elif nprob == 19:  # Bdqrtic.
          x = np.ones(n)
      elif nprob == 20:  # Cube.
          x = 0.5 * np.ones(n)
      elif nprob == 21:  # Mancino.
          for i in range(n):
              ss = 0
              for j in range(n):
                  frac = (i + 1) / (j + 1)
                  ss = ss + np.sqrt(frac) * (
                      (np.sin(np.log(np.sqrt(frac)))) ** 5
                      + (np.cos(np.log(np.sqrt(frac)))) ** 5
                  )
              x[i] = -8.710996e-4 * ((i - 49) ** 3 + ss)
      elif nprob == 22:  # Heart8ls.
          x = np.asarray(
              [-0.3, -0.39, 0.3, -0.344, -1.2, 2.69, 1.59, -1.5]
          )
      else:
          print(f"unrecognized function number {nprob}")
          return None
  
      return factor * x
  
label_desc: Use image node_id 1 for calling a global function with example usage: dfoxs(n, nprob, factor) and returns: unknown, None