title: Number Ordered Pairs Ai Aj 0
signature: function number_ordered_pairs_ai_aj_0(a, n)
source_py: def number_ordered_pairs_ai_aj_0(a, n):
      count = 0
      for i in range(0, n):
          for j in range((i + 1), n):
              if ((a[i] & a[j]) == 0):
                  count += 2
      return count
source_cpp: int number_ordered_pairs_ai_aj_0(vector<int> a, int n) {
    int count = 0;
    for ( int i = 0;
    i < n;
    i ++ ) {
      for ( int j = i + 1;
      j < n;
      j ++ ) if ( ( a [ i ] & a [ j ] ) == 0 ) count += 2;
    }
    return count;
  }
question_info.entry_fn_name: number_ordered_pairs_ai_aj_0
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(a, n, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(a, 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({17, 20, 32, 35, 35, 36, 43, 47, 59, 59, 68, 69, 70, 70, 75, 82, 88, 94, 96, 99}, 17, 54)
      print(string.format("TEST-0...%s",result))
  
      result = driver({-78, -40, 58, -36, 34, -12, -38, 48, -66, 16, 50, -26, -22, 46, -70, -68, -44, -52, -78, -50}, 11, 6)
      print(string.format("TEST-1...%s",result))
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 23, 506)
      print(string.format("TEST-2...%s",result))
  
      result = driver({49, 57, 17, 37, 56, 61, 10, 3, 33, 33, 70, 35, 50, 85, 48, 65, 83, 21, 96, 19, 66, 43, 69, 17, 60, 87, 82, 3, 83, 44, 63, 19, 55, 58, 77, 76, 50, 96}, 37, 172)
      print(string.format("TEST-3...%s",result))
  
      result = driver({-94, -88, -86, -80, -80, -72, -64, -60, -58, -58, -58, -50, -44, -32, -8, -8, 0, 6, 8, 10, 14, 14, 18, 28, 34, 34, 46, 54, 56, 56, 56, 64, 66, 66, 70, 82, 84, 88, 96}, 33, 266)
      print(string.format("TEST-4...%s",result))
  
      result = driver({1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0}, 13, 100)
      print(string.format("TEST-5...%s",result))
  
      result = driver({1, 3, 10, 11, 13, 14, 15, 17, 20, 25, 26, 26, 27, 29, 32, 36, 36, 36, 42, 46, 47, 49, 51, 54, 54, 55, 60, 66, 67, 68, 68, 68, 72, 77, 78, 79, 83, 84, 92, 98}, 32, 238)
      print(string.format("TEST-6...%s",result))
  
      result = driver({-76, -72, 16, 38, -60, 44, -2, -76, -76, -56, 40, 36, 50, -50, -32, 48, -96, 80, 84, 60, 84, 38, -54, -42, 48, 30, 66, -62, -52, -94, 64, -16, 54, 98}, 28, 116)
      print(string.format("TEST-7...%s",result))
  
      result = driver({0, 0, 1, 1, 1, 1}, 5, 14)
      print(string.format("TEST-8...%s",result))
  
      result = driver({63, 82, 22, 84, 11, 62, 18, 43, 57, 25, 4, 27, 62, 46, 55, 16, 1, 9, 10, 73, 36, 80, 95, 87, 47, 64, 27, 25, 70}, 22, 108)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
question_info.test_list: [{"idx": 0, "outputs": 54, "inputs": {"a": [17, 20, 32, 35, 35, 36, 43, 47, 59, 59, 68, 69, 70, 70, 75, 82, 88, 94, 96, 99], "n": 17}}, {"idx": 1, "outputs": 6, "inputs": {"a": [-78, -40, 58, -36, 34, -12, -38, 48, -66, 16, 50, -26, -22, 46, -70, -68, -44, -52, -78, -50], "n": 11}}, {"idx": 2, "outputs": 506, "inputs": {"a": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "n": 23}}, {"idx": 3, "outputs": 172, "inputs": {"a": [49, 57, 17, 37, 56, 61, 10, 3, 33, 33, 70, 35, 50, 85, 48, 65, 83, 21, 96, 19, 66, 43, 69, 17, 60, 87, 82, 3, 83, 44, 63, 19, 55, 58, 77, 76, 50, 96], "n": 37}}, {"idx": 4, "outputs": 266, "inputs": {"a": [-94, -88, -86, -80, -80, -72, -64, -60, -58, -58, -58, -50, -44, -32, -8, -8, 0, 6, 8, 10, 14, 14, 18, 28, 34, 34, 46, 54, 56, 56, 56, 64, 66, 66, 70, 82, 84, 88, 96], "n": 33}}, {"idx": 5, "outputs": 100, "inputs": {"a": [1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], "n": 13}}, {"idx": 6, "outputs": 238, "inputs": {"a": [1, 3, 10, 11, 13, 14, 15, 17, 20, 25, 26, 26, 27, 29, 32, 36, 36, 36, 42, 46, 47, 49, 51, 54, 54, 55, 60, 66, 67, 68, 68, 68, 72, 77, 78, 79, 83, 84, 92, 98], "n": 32}}, {"idx": 7, "outputs": 116, "inputs": {"a": [-76, -72, 16, 38, -60, 44, -2, -76, -76, -56, 40, 36, 50, -50, -32, 48, -96, 80, 84, 60, 84, 38, -54, -42, 48, 30, 66, -62, -52, -94, 64, -16, 54, 98], "n": 28}}, {"idx": 8, "outputs": 14, "inputs": {"a": [0, 0, 1, 1, 1, 1], "n": 5}}, {"idx": 9, "outputs": 108, "inputs": {"a": [63, 82, 22, 84, 11, 62, 18, 43, 57, 25, 4, 27, 62, 46, 55, 16, 1, 9, 10, 73, 36, 80, 95, 87, 47, 64, 27, 25, 70], "n": 22}}]