title: Count Numbers That Dont Contain 3
signature: function count_numbers_that_dont_contain_3(n)
source_py: def count_numbers_that_dont_contain_3(n):
      if (n < 3):
          return n
      elif ((n >= 3) and (n < 10)):
          return (n - 1)
      po = 1
      while ((n / po) > 9):
          po = (po * 10)
      msd = (n / po)
      if (msd != 3):
          return (((count_numbers_that_dont_contain_3(msd) * count_numbers_that_dont_contain_3((po - 1))) + count_numbers_that_dont_contain_3(msd)) + count_numbers_that_dont_contain_3((n % po)))
      else:
          return count_numbers_that_dont_contain_3(((msd * po) - 1))
source_cpp: int count_numbers_that_dont_contain_3(int n) {
    if ( n < 3 ) return n;
    if ( n >= 3 && n < 10 ) return n - 1;
    int po = 1;
    while ( n / po > 9 ) po = po * 10;
    int msd = n / po;
    if ( msd != 3 ) return count_numbers_that_dont_contain_3 ( msd ) * count_numbers_that_dont_contain_3 ( po - 1 ) + count_numbers_that_dont_contain_3 ( msd ) + count_numbers_that_dont_contain_3 ( n % po );
    else return count_numbers_that_dont_contain_3 ( msd * po - 1 );
  }
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 math.abs(actual - expected) < 1e-09
  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(85, 71.5)
      print(string.format("TEST-0...%s",result))
  
      result = driver(86, 73.39999999999999)
      print(string.format("TEST-1...%s",result))
  
      result = driver(3, 2.0)
      print(string.format("TEST-2...%s",result))
  
      result = driver(35, 26.5)
      print(string.format("TEST-3...%s",result))
  
      result = driver(59, 52.1)
      print(string.format("TEST-4...%s",result))
  
      result = driver(38, 32.2)
      print(string.format("TEST-5...%s",result))
  
      result = driver(33, 22.7)
      print(string.format("TEST-6...%s",result))
  
      result = driver(15, 17.5)
      print(string.format("TEST-7...%s",result))
  
      result = driver(75, 62.5)
      print(string.format("TEST-8...%s",result))
  
      result = driver(74, 60.6)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.entry_cls_name: Solution
question_info.test_list: [{"idx": 0, "outputs": 71.5, "inputs": {"n": 85}}, {"idx": 1, "outputs": 73.39999999999999, "inputs": {"n": 86}}, {"idx": 2, "outputs": 2, "inputs": {"n": 3}}, {"idx": 3, "outputs": 26.5, "inputs": {"n": 35}}, {"idx": 4, "outputs": 52.1, "inputs": {"n": 59}}, {"idx": 5, "outputs": 32.2, "inputs": {"n": 38}}, {"idx": 6, "outputs": 22.7, "inputs": {"n": 33}}, {"idx": 7, "outputs": 17.5, "inputs": {"n": 15}}, {"idx": 8, "outputs": 62.5, "inputs": {"n": 75}}, {"idx": 9, "outputs": 60.6, "inputs": {"n": 74}}]
question_info.extension: lua
question_info.entry_fn_name: count_numbers_that_dont_contain_3
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: lua __FILENAME__