code: def run_test(
      root: str, test: str, timeout: float
  ) -> List[Union[int, bool]]:
      """Run a single test.
  
      Args:
          root: Path to the problem folder.
          test: Candidate source code solution in string format.
          timeout: Timeout in seconds. Reduce to save time at the cost of accuracy.
              There are two places where timeout can happen:
                  1) runtime function creation based on source code string, and
                  2) evaluation of a test case.
      Returns:
          A list of numbers/booleans, one for each test case. Interpretation for all types of values:
              -3: didn't find the function for evaluation
              -2: compile error
              -1: runtime error
              True: passed
              False: failed
  
          The -3 entry is an additional type compared to the original code of APPS authors
              https://github.com/hendrycks/apps/blob/main/eval/testing_util.py
      """
  
      input_output_fname = os.path.join(root, "input_output.json")
      if os.path.exists(input_output_fname):
          with open(input_output_fname) as f:
              in_outs = json.load(f)
              if in_outs.get("fn_name") is None:
                  which_type = CodeType.standard_input  # Standard input
                  method_name = None
              else:
                  which_type = CodeType.call_based  # Call-based
                  method_name = in_outs["fn_name"]
  
      results = []
      sol = (
          "import sys\nimport time\nimport itertools\nfrom itertools import accumulate, product, permutations, "
          "combinations\nimport collections\nfrom collections import Counter, OrderedDict, deque, defaultdict, "
          "ChainMap\nfrom functools import lru_cache\nimport math\nfrom math import sqrt, sin, cos, tan, ceil, "
          "fabs, floor, gcd, exp, log, log2\nimport fractions\nfrom typing import List, Tuple\nimport numpy as "
          "np\nimport random\nimport heapq\nfrom heapq import *\n"
      )
  
      if which_type == CodeType.call_based:
          sol += test
          signal.alarm(timeout)
          try:
              tmp_sol = RuntimeModule.from_string("tmp_sol", "", sol)
              if "class Solution" not in test:
                  tmp = tmp_sol
              else:
                  tmp = tmp_sol.Solution()
              signal.alarm(0)
          except Exception as e:
              signal.alarm(0)
              hlog(f"type 0 compilation error")
              results.append(-2)
              return results
          signal.alarm(0)
  
      elif which_type == CodeType.standard_input:
          tmp_test = test.split("\n")
  
          new_test = []
          for x in tmp_test:
              if (not x.startswith("from ")) and (
                  not x.startswith("import ")
              ):
                  new_test.append("\t" + x + "\n")
              else:
                  new_test.append(x + "\n")
          tmp_test = new_test
  
          new_test = ""
          started = False
          for i in tmp_test:
              if i.startswith("\t") and not started:
                  new_test += "stdin = sys.stdin\nstdout = sys.stdout\n"
                  new_test += "def code():\n"
                  new_test += i
                  started = True
              elif started and (
                  (i.startswith("from ")) or (i.startswith("import "))
              ):
                  new_test += "\t" + i
              else:
                  new_test += i
          tmp_test = new_test
  
          sol += tmp_test
          method_name = "code"
          signal.alarm(timeout)
          try:
              tmp_sol = RuntimeModule.from_string("tmp_sol", "", sol)
              tmp = tmp_sol
              signal.alarm(0)
          except Exception as e:
              signal.alarm(0)
              hlog(f"type 1 compilation error")
              results.append(-2)
              return results
          signal.alarm(0)
      try:
          method = getattr(
              tmp, method_name
          )  # get_attr second arg must be str
      except:
          signal.alarm(0)
          e = sys.exc_info()
          hlog(f"unable to get function error")
          results.append(-3)
          return results
  
      for index, inputs in enumerate(in_outs["inputs"]):
          gc.collect()
  
          # JSON forces dictionaries to have string keys; this undoes this (assuming a singleton list)
          try:
              if isinstance(inputs[0], dict):
                  inputs = [{int(k): v for k, v in inputs[0].items()}]
          except:
              pass
  
          try:
              if isinstance(in_outs["outputs"][index], dict):
                  in_outs["outputs"][index] = [
                      {
                          int(k): v
                          for k, v in in_outs["outputs"][index].items()
                      }
                  ]
          except:
              pass
  
          try:
              if isinstance(in_outs["outputs"][index][0], dict):
                  in_outs["outputs"][index] = [
                      {
                          int(k): v
                          for k, v in in_outs["outputs"][index][
                              0
                          ].items()
                      }
                  ]
          except:
              pass
  
          if which_type == CodeType.call_based:  # Call-based
              signal.alarm(timeout)
              faulthandler.enable()
              try:
                  output = method(*inputs)
  
                  # ground truth sequences are not tuples
                  if isinstance(output, tuple):
                      output = list(output)
  
                  tmp_result = output == in_outs["outputs"][index]
                  if (
                      isinstance(in_outs["outputs"][index], list)
                      and in_outs["outputs"][index]
                  ):
                      tmp_result = tmp_result or (
                          output == in_outs["outputs"][index][0]
                      )
  
                  # ground truth sequences are not tuples
                  try:
                      if isinstance(output[0], tuple):
                          tmp_result = tmp_result or (
                              [list(x) for x in output]
                              == in_outs["outputs"][index][0]
                          )
                  except:
                      pass
                  results.append(tmp_result)
  
                  # reset the alarm
                  signal.alarm(0)
              except Exception:
                  signal.alarm(0)
                  faulthandler.disable()
                  hlog(
                      f"Standard input runtime error or time limit exceeded error"
                  )
                  results.append(-1)
                  continue
              faulthandler.disable()
              signal.alarm(0)
          elif which_type == CodeType.standard_input:  # Standard input
              faulthandler.enable()
              signal.alarm(timeout)
              passed = False
  
              if isinstance(inputs, list):
                  inputs = "\n".join(inputs)
              if isinstance(in_outs["outputs"][index], list):
                  in_outs["outputs"][index] = "\n".join(
                      in_outs["outputs"][index]
                  )
  
              with Capturing() as output:
                  try:
                      call_method(method, inputs)
                      # reset the alarm
                      signal.alarm(0)
                      passed = True
                  except Exception:
                      # runtime error or took too long
                      signal.alarm(0)
                      hlog(
                          f"Call-based runtime error or time limit exceeded error"
                      )
                      results.append(-1)
                  signal.alarm(0)
  
              if not passed:
                  continue
  
              if custom_compare_(output, in_outs["outputs"][index]):
                  tmp_result = True
                  results.append(tmp_result)
                  continue
  
              # ground truth sequences are expressed as lists not tuples
              if isinstance(output, tuple):
                  output = list(output)
  
              tmp_result = False
              try:
                  tmp_result = output == [in_outs["outputs"][index]]
                  if isinstance(in_outs["outputs"][index], list):
                      tmp_result = tmp_result or (
                          output == in_outs["outputs"][index]
                      )
                      if isinstance(output[0], str):
                          tmp_result = tmp_result or (
                              [e.strip() for e in output]
                              == in_outs["outputs"][index]
                          )
              except Exception:
                  hlog(f"Failed check1 exception")
                  pass
  
              if isinstance(tmp_result, bool) and tmp_result:
                  results.append(tmp_result)
                  continue
  
              # try one more time without \n
              if isinstance(in_outs["outputs"][index], list):
                  for tmp_index, i in enumerate(
                      in_outs["outputs"][index]
                  ):
                      in_outs["outputs"][index][tmp_index] = i.split(
                          "\n"
                      )
                      in_outs["outputs"][index][tmp_index] = [
                          x.strip()
                          for x in in_outs["outputs"][index][tmp_index]
                          if x
                      ]
              else:
                  in_outs["outputs"][index] = in_outs["outputs"][
                      index
                  ].split("\n")
                  in_outs["outputs"][index] = list(
                      filter(len, in_outs["outputs"][index])
                  )
                  in_outs["outputs"][index] = list(
                      map(
                          lambda x: x.strip(), in_outs["outputs"][index]
                      )
                  )
  
              try:
                  tmp_result = output == [in_outs["outputs"][index]]
                  if isinstance(in_outs["outputs"][index], list):
                      tmp_result = tmp_result or (
                          output == in_outs["outputs"][index]
                      )
              except Exception:
                  hlog(f"Failed check2 exception")
                  pass
  
              if isinstance(tmp_result, bool) and tmp_result:
                  results.append(tmp_result)
                  continue
  
              # try by converting the output into a split up list too
              if isinstance(output, list):
                  output = list(filter(len, output))
  
              if isinstance(tmp_result, bool) and tmp_result:
                  results.append(tmp_result)
                  continue
  
              try:
                  tmp_result = output == [in_outs["outputs"][index]]
                  if isinstance(in_outs["outputs"][index], list):
                      tmp_result = tmp_result or (
                          output == in_outs["outputs"][index]
                      )
              except Exception:
                  hlog(f"Failed check3 exception")
                  pass
  
              try:
                  output_float = [float(e) for e in output]
                  gt_float = [
                      float(e) for e in in_outs["outputs"][index]
                  ]
                  tmp_result = tmp_result or (
                      (len(output_float) == len(gt_float))
                      and np.allclose(output_float, gt_float)
                  )
              except:
                  pass
              try:
                  if isinstance(output[0], list):
                      output_float = [float(e) for e in output[0]]
                      gt_float = [
                          float(e) for e in in_outs["outputs"][index][0]
                      ]
                      tmp_result = tmp_result or (
                          (len(output_float) == len(gt_float))
                          and np.allclose(output_float, gt_float)
                      )
              except:
                  pass
  
              if isinstance(tmp_result, bool) and tmp_result:
                  results.append(tmp_result)
                  continue
  
              # try by converting the stuff into split up list
              if isinstance(in_outs["outputs"][index], list):
                  for tmp_index, i in enumerate(
                      in_outs["outputs"][index]
                  ):
                      in_outs["outputs"][index][tmp_index] = set(
                          i.split()
                      )
              else:
                  in_outs["outputs"][index] = set(
                      in_outs["outputs"][index].split()
                  )
  
              try:
                  tmp_result = output == in_outs["outputs"][index]
              except Exception:
                  hlog(f"Failed check4 exception")
                  continue
  
              if isinstance(tmp_result, bool) and tmp_result:
                  results.append(tmp_result)
                  continue
  
                  # try by converting the output into a split up list too
              if isinstance(output, list):
                  for tmp_index, i in enumerate(output):
                      output[tmp_index] = i.split()
                  output = list(filter(len, output))
                  for tmp_index, i in enumerate(output):
                      output[tmp_index] = set(i)
              else:
                  output = output.split()
                  output = list(filter(len, output))
                  output = set(output)
  
              try:
                  tmp_result = set(frozenset(s) for s in output) == set(
                      frozenset(s) for s in in_outs["outputs"][index]
                  )
              except Exception:
                  hlog(f"Failed check5 exception")
  
              # if they are all numbers, round so that similar numbers are treated as identical
              try:
                  tmp_result = tmp_result or (
                      set(
                          frozenset(round(float(t), 3) for t in s)
                          for s in output
                      )
                      == set(
                          frozenset(round(float(t), 3) for t in s)
                          for s in in_outs["outputs"][index]
                      )
                  )
              except Exception:
                  hlog(f"Failed check6 exception")
  
              # By default, tmp_result is False; that's the 'catch' case.
              results.append(tmp_result)
  
      return results
  
imports: import contextlib
  import gc
  from enum import Enum
  import faulthandler
  import io
  from io import StringIO
  import json
  import multiprocessing
  import os
  import platform
  import signal
  import sys
  import tempfile
  from typing import List, Union, Dict, Optional
  from unittest.mock import patch, mock_open
  import numpy
  from pyext import RuntimeModule
  from helm.common.hierarchical_logger import hlog
label_desc: Use image node_id 2 for calling a global function with example usage: run_test(root, test, timeout) and returns: results, results, results, results