title: Find First Natural Number Whose Factorial Divisible X
signature: function find_first_natural_number_whose_factorial_divisible_x(x)
source_py: def find_first_natural_number_whose_factorial_divisible_x(x):
      i = 1
      fact = 1
      for i in range(1, x):
          fact = (fact * i)
          if ((fact % x) == 0):
              break
      return i
source_cpp: int find_first_natural_number_whose_factorial_divisible_x(int x) {
    int i = 1;
    int fact = 1;
    for ( i = 1;
    i < x;
    i ++ ) {
      fact = fact * i;
      if ( fact % x == 0 ) break;
    }
    return i;
  }
question_info.entry_fn_name: find_first_natural_number_whose_factorial_divisible_x
question_info.entry_cls_name: Solution
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(x, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(x) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver(67, 66)
      print(string.format("TEST-0...%s",result))
  
      result = driver(47, 46)
      print(string.format("TEST-1...%s",result))
  
      result = driver(57, 19)
      print(string.format("TEST-2...%s",result))
  
      result = driver(89, 88)
      print(string.format("TEST-3...%s",result))
  
      result = driver(67, 66)
      print(string.format("TEST-4...%s",result))
  
      result = driver(40, 5)
      print(string.format("TEST-5...%s",result))
  
      result = driver(16, 6)
      print(string.format("TEST-6...%s",result))
  
      result = driver(83, 82)
      print(string.format("TEST-7...%s",result))
  
      result = driver(93, 31)
      print(string.format("TEST-8...%s",result))
  
      result = driver(43, 42)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 66, "inputs": {"x": 67}}, {"idx": 1, "outputs": 46, "inputs": {"x": 47}}, {"idx": 2, "outputs": 19, "inputs": {"x": 57}}, {"idx": 3, "outputs": 88, "inputs": {"x": 89}}, {"idx": 4, "outputs": 66, "inputs": {"x": 67}}, {"idx": 5, "outputs": 5, "inputs": {"x": 40}}, {"idx": 6, "outputs": 6, "inputs": {"x": 16}}, {"idx": 7, "outputs": 82, "inputs": {"x": 83}}, {"idx": 8, "outputs": 31, "inputs": {"x": 93}}, {"idx": 9, "outputs": 42, "inputs": {"x": 43}}]