code: def test_input():
      r = (2, 3), Rational(2, 3), (Rational(2), Rational(3))
      for m in ["Greedy", "Graham Jewett", "Takenouchi", "Golomb"]:
          for i in r:
              d = egyptian_fraction(i, m)
              assert all(i.is_Integer for i in d)
              if m == "Graham Jewett":
                  assert d == [3, 4, 12]
              else:
                  assert d == [2, 6]
      # check prefix
      d = egyptian_fraction(Rational(5, 3))
      assert d == [1, 2, 6] and all(i.is_Integer for i in d)
  
imports: from sympy.core.numbers import Rational
  from sympy.ntheory.egyptian_fraction import egyptian_fraction
  from sympy.core.add import Add
  from sympy.testing.pytest import raises
  from sympy.core.random import random_complex_number
label_desc: Use image node_id 2 for calling a global function with example usage: test_input() without return types