code: 
  
  
  '''simple docstring'''
  
  
  
  
  
  import argparse
  import json
  import re
  import string
  import sys
  from collections import Counter
  
  
  
  
  def 			__lowercase	(						_UpperCamelCase     )    ->Tuple:
  
  
  
  
  
  
  
        """simple docstring"""
  
        def remove_articles(_UpperCamelCase     ):
              return re.sub(R'''\b(a|an|the)\b''',    ''' ''',    lowercase_     )
  
        def white_space_fix(_UpperCamelCase     ):
              return " ".join(text.split()     )
  
        def remove_punc(_UpperCamelCase     ):
              lowercase			:   List[Any]					   =		set(string.punctuation     )
              return "".join(ch for ch in text if ch not in exclude     )
  
        def lower(_UpperCamelCase     ):
              return text.lower()
  
        return white_space_fix(remove_articles(remove_punc(lower(lowercase_     )     )     )     )
  
  
  
  
  def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->Tuple:
  
  
  
  
  
  
  
        """simple docstring"""
  
        lowercase			:   Optional[int]					   =		normalize_answer(lowercase_     ).split()
        lowercase			:   Union[str, Any]					   =		normalize_answer(lowercase_     ).split()
        lowercase			:   Union[str, Any]					   =		Counter(lowercase_     ) & Counter(lowercase_     )
        lowercase			:   Union[str, Any]					   =		sum(common.values()     )
        if num_same == 0:
              return 0
        lowercase			:   List[Any]					   =		1.0 * num_same / len(lowercase_     )
        lowercase			:   List[str]					   =		1.0 * num_same / len(lowercase_     )
        lowercase			:   Any					   =		(2 * precision * recall) / (precision + recall)
        return fa
  
  
  
  
  def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->List[Any]:
  
  
  
  
  
  
  
        """simple docstring"""
  
        return normalize_answer(lowercase_     ) == normalize_answer(lowercase_     )
  
  
  
  
  def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase,    _UpperCamelCase     )    ->str:
  
  
  
  
  
  
  
        """simple docstring"""
  
        lowercase			:   Any					   =		[]
        for ground_truth in ground_truths:
              lowercase			:   Optional[Any]					   =		metric_fn(lowercase_,    lowercase_     )
              scores_for_ground_truths.append(lowercase_     )
        return max(lowercase_     )
  
  
  
  
  def 			__lowercase	(						_UpperCamelCase,    _UpperCamelCase     )    ->Optional[Any]:
  
  
  
  
  
  
  
        """simple docstring"""
  
        lowercase			:   List[Any]					   =		0
        lowercase			:   Tuple					   =		[]
        for passage in dataset:
              for qa in passage["qas"]:
                    total += 1
                    if qa["id"] not in predictions:
                          lowercase			:   Optional[Any]					   =		f"""Unanswered question {qa['id']} will receive score 0."""
                          print(lowercase_,    file=sys.stderr     )
                          continue
  
                    lowercase			:   List[Any]					   =		[x['text'] for x in qa['answers']]
                    lowercase			:   Any					   =		predictions[qa['id']]
  
                    lowercase			:   Any					   =		metric_max_over_ground_truths(lowercase_,    lowercase_,    lowercase_     )
                    if int(_exact_match     ) == 1:
                          correct_ids.append(qa['''id''']     )
                    exact_match += _exact_match
  
                    fa += metric_max_over_ground_truths(lowercase_,    lowercase_,    lowercase_     )
  
        lowercase			:   Tuple					   =		exact_match / total
        lowercase			:   str					   =		fa / total
  
        return {"exact_match": exact_match, "f1": fa}, correct_ids
  
  
  if __name__ == "__main__":
    __a   				=      '''1.0'''
    __a   				=      argparse.ArgumentParser('''Official evaluation script for ReCoRD v1.0.''')
    parser.add_argument('''data_file''', help='''The dataset file in JSON format.''')
    parser.add_argument('''pred_file''', help='''The model prediction file in JSON format.''')
    parser.add_argument('''--output_correct_ids''', action='''store_true''', help='''Output the correctly answered query IDs.''')
    __a   				=      parser.parse_args()
  
    with open(args.data_file) as data_file:
      __a   				=      json.load(data_file)
      if dataset_json["version"] != expected_version:
        print(
            F'''Evaluation expects v-{expected_version}, but got dataset with v-{dataset_json["version"]}''',
            file=sys.stderr,
        )
      __a   				=      dataset_json['''data''']
  
    with open(args.pred_file) as pred_file:
      __a   				=      json.load(pred_file)
  
    __a				,      __a   				=      evaluate(dataset, predictions)
  
    if args.output_correct_ids:
      print(F'''Output {len(correct_ids)} correctly answered question IDs.''')
      with open('''correct_ids.json''', '''w''') as f:
        json.dump(correct_ids, f)
  
  
style_context: 
  
  
  import math
  
  
  
  
  def 			__lowercase	(						_UpperCamelCase     )    ->Union[str, Any]:
  
  
  
  
  
  
  
        """simple docstring"""
  
        lowercase			:   List[Any]					   =		0
        if n % 2 == 0:
              count += 1
              while n % 2 == 0:
                    lowercase			:   Any					   =		int(n / 2     )
      # the n input value must be odd so that
      # we can skip one element (ie i += 2)
  
        lowercase			:   Optional[int]					   =		3
  
        while i <= int(math.sqrt(_UpperCamelCase     )     ):
              if n % i == 0:
                    count += 1
                    while n % i == 0:
                          lowercase			:   Optional[Any]					   =		int(n / i     )
              lowercase			:   str					   =		i + 2
  
        # this condition checks the prime
        # number n is greater than 2
  
        if n > 2:
              count += 1
        return count
  
  
  if __name__ == "__main__":
    __a   				=      51_24_21_83
    print(F'''The number of distinct prime factors is/are {exact_prime_factor_count(n)}''')
    print(F'''The value of log(log(n)) is {math.log(math.log(n)):.4f}''')
  
  