title: Recursively Break Number 3 Parts Get Maximum Sum
signature: function recursively_break_number_3_parts_get_maximum_sum(n)
source_py: def recursively_break_number_3_parts_get_maximum_sum(n):
      if ((n == 0) or (n == 1)):
          return n
      return max(((recursively_break_number_3_parts_get_maximum_sum((n // 2)) + recursively_break_number_3_parts_get_maximum_sum((n // 3))) + recursively_break_number_3_parts_get_maximum_sum((n // 4))), n)
source_cpp: int recursively_break_number_3_parts_get_maximum_sum(int n) {
    if ( n == 0 || n == 1 ) return n;
    return max ( ( recursively_break_number_3_parts_get_maximum_sum ( n / 2 ) + recursively_break_number_3_parts_get_maximum_sum ( n / 3 ) + recursively_break_number_3_parts_get_maximum_sum ( n / 4 ) ), n );
  }
question_info.entry_fn_name: recursively_break_number_3_parts_get_maximum_sum
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(n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(n) 
      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(39, 41)
      print(string.format("TEST-0...%s",result))
  
      result = driver(79, 87)
      print(string.format("TEST-1...%s",result))
  
      result = driver(7, 7)
      print(string.format("TEST-2...%s",result))
  
      result = driver(76, 87)
      print(string.format("TEST-3...%s",result))
  
      result = driver(48, 57)
      print(string.format("TEST-4...%s",result))
  
      result = driver(18, 19)
      print(string.format("TEST-5...%s",result))
  
      result = driver(58, 63)
      print(string.format("TEST-6...%s",result))
  
      result = driver(17, 17)
      print(string.format("TEST-7...%s",result))
  
      result = driver(36, 41)
      print(string.format("TEST-8...%s",result))
  
      result = driver(5, 5)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 41, "inputs": {"n": 39}}, {"idx": 1, "outputs": 87, "inputs": {"n": 79}}, {"idx": 2, "outputs": 7, "inputs": {"n": 7}}, {"idx": 3, "outputs": 87, "inputs": {"n": 76}}, {"idx": 4, "outputs": 57, "inputs": {"n": 48}}, {"idx": 5, "outputs": 19, "inputs": {"n": 18}}, {"idx": 6, "outputs": 63, "inputs": {"n": 58}}, {"idx": 7, "outputs": 17, "inputs": {"n": 17}}, {"idx": 8, "outputs": 41, "inputs": {"n": 36}}, {"idx": 9, "outputs": 5, "inputs": {"n": 5}}]