title: Triangular Numbers 1
signature: function triangular_numbers_1(num)
source_py: def triangular_numbers_1(num):
      if (num < 0):
          return False
      c = ((- 2) * num)
      (b, a) = (1, 1)
      d = ((b * b) - ((4 * a) * c))
      if (d < 0):
          return False
      root1 = (((- b) + math.sqrt(d)) / (2 * a))
      root2 = (((- b) - math.sqrt(d)) / (2 * a))
      if ((root1 > 0) and (math.floor(root1) == root1)):
          return True
      if ((root2 > 0) and (math.floor(root2) == root2)):
          return True
      return False
source_cpp: bool triangular_numbers_1(int num) {
    if ( num < 0 ) return false;
    int c = ( - 2 * num );
    int b = 1, a = 1;
    int d = ( b * b ) - ( 4 * a * c );
    if ( d < 0 ) return false;
    float root1 = ( - b + sqrt ( d ) ) / ( 2 * a );
    float root2 = ( - b - sqrt ( d ) ) / ( 2 * a );
    if ( root1 > 0 && floor ( root1 ) == root1 ) return true;
    if ( root2 > 0 && floor ( root2 ) == root2 ) return true;
    return false;
  }
question_info.entry_fn_name: triangular_numbers_1
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(num, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(num) 
      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, true)
      print(string.format("TEST-0...%s",result))
  
      result = driver(3, true)
      print(string.format("TEST-1...%s",result))
  
      result = driver(6, true)
      print(string.format("TEST-2...%s",result))
  
      result = driver(10, true)
      print(string.format("TEST-3...%s",result))
  
      result = driver(55, true)
      print(string.format("TEST-4...%s",result))
  
      result = driver(48, false)
      print(string.format("TEST-5...%s",result))
  
      result = driver(63, false)
      print(string.format("TEST-6...%s",result))
  
      result = driver(72, false)
      print(string.format("TEST-7...%s",result))
  
      result = driver(16, false)
      print(string.format("TEST-8...%s",result))
  
      result = driver(85, false)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": true, "inputs": {"num": 1}}, {"idx": 1, "outputs": true, "inputs": {"num": 3}}, {"idx": 2, "outputs": true, "inputs": {"num": 6}}, {"idx": 3, "outputs": true, "inputs": {"num": 10}}, {"idx": 4, "outputs": true, "inputs": {"num": 55}}, {"idx": 5, "outputs": false, "inputs": {"num": 48}}, {"idx": 6, "outputs": false, "inputs": {"num": 63}}, {"idx": 7, "outputs": false, "inputs": {"num": 72}}, {"idx": 8, "outputs": false, "inputs": {"num": 16}}, {"idx": 9, "outputs": false, "inputs": {"num": 85}}]