title: Padovan Sequence
signature: function padovan_sequence(n)
source_py: def padovan_sequence(n):
      (pPrevPrev, pPrev, pCurr, pNext) = (1, 1, 1, 1)
      for i in range(3, (n + 1)):
          pNext = (pPrevPrev + pPrev)
          pPrevPrev = pPrev
          pPrev = pCurr
          pCurr = pNext
      return pNext
source_cpp: int padovan_sequence(int n) {
    int pPrevPrev = 1, pPrev = 1, pCurr = 1, pNext = 1;
    for ( int i = 3;
    i <= n;
    i ++ ) {
      pNext = pPrevPrev + pPrev;
      pPrevPrev = pPrev;
      pPrev = pCurr;
      pCurr = pNext;
    }
    return pNext;
  }
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(1, 1)
      print(string.format("TEST-0...%s",result))
  
      result = driver(92, 124155792775)
      print(string.format("TEST-1...%s",result))
  
      result = driver(29, 2513)
      print(string.format("TEST-2...%s",result))
  
      result = driver(52, 1618192)
      print(string.format("TEST-3...%s",result))
  
      result = driver(55, 3761840)
      print(string.format("TEST-4...%s",result))
  
      result = driver(13, 28)
      print(string.format("TEST-5...%s",result))
  
      result = driver(83, 9882257736)
      print(string.format("TEST-6...%s",result))
  
      result = driver(83, 9882257736)
      print(string.format("TEST-7...%s",result))
  
      result = driver(10, 12)
      print(string.format("TEST-8...%s",result))
  
      result = driver(67, 109870576)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.entry_cls_name: Solution
question_info.test_list: [{"idx": 0, "outputs": 1, "inputs": {"n": 1}}, {"idx": 1, "outputs": 124155792775, "inputs": {"n": 92}}, {"idx": 2, "outputs": 2513, "inputs": {"n": 29}}, {"idx": 3, "outputs": 1618192, "inputs": {"n": 52}}, {"idx": 4, "outputs": 3761840, "inputs": {"n": 55}}, {"idx": 5, "outputs": 28, "inputs": {"n": 13}}, {"idx": 6, "outputs": 9882257736, "inputs": {"n": 83}}, {"idx": 7, "outputs": 9882257736, "inputs": {"n": 83}}, {"idx": 8, "outputs": 12, "inputs": {"n": 10}}, {"idx": 9, "outputs": 109870576, "inputs": {"n": 67}}]
question_info.extension: lua
question_info.entry_fn_name: padovan_sequence
question_info.test_case_ids: 0 1 2 3 4 5 6 7 8 9
question_info.commands: lua __FILENAME__