code: 
  
  
  '''simple docstring'''
  
  
  
  import dataclasses
  import enum
  import functools
  import math
  import re
  
  # The following script is adapted from the script of TaPas.
  # Original: https://github.com/google-research/tapas/master/wikisql_utils.py
  from typing import Any, List, Text
  
  
  __lowercase			:		Optional[int] =			"""none"""
  __lowercase			:		Optional[int] =			"""none"""
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Optional[int]		,   _SCREAMING_SNAKE_CASE   :     Optional[Any]     ):
  					__a    : int      					=						value.split(_SCREAMING_SNAKE_CASE     )
  					return len(_SCREAMING_SNAKE_CASE     ) > 1 and any((len(_SCREAMING_SNAKE_CASE     ) == 3 for x in split)     )
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Any     ):
  					if isinstance(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     ):
  										return value
  					if isinstance(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     ):
  										return float(_SCREAMING_SNAKE_CASE     )
  					if not isinstance(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     ):
  										raise ValueError('Argument value is not a string. Can\'t parse it as float'     )
  					__a    : List[Any]      					=						value
  
  					try:
  										# Example: 1,000.7
  										if "." in sanitized and "," in sanitized:
  															return float(sanitized.replace(','		,   ''     )     )
  										# 1,000
  										if "," in sanitized and _split_thousands(','		,   _SCREAMING_SNAKE_CASE     ):
  															return float(sanitized.replace(','		,   ''     )     )
  										# 5,5556
  										if "," in sanitized and sanitized.count(','     ) == 1 and not _split_thousands(','		,   _SCREAMING_SNAKE_CASE     ):
  															return float(sanitized.replace(','		,   '.'     )     )
  										# 0.0.0.1
  										if sanitized.count('.'     ) > 1:
  															return float(sanitized.replace('.'		,   ''     )     )
  										# 0,0,0,1
  										if sanitized.count(','     ) > 1:
  															return float(sanitized.replace(','		,   ''     )     )
  										return float(_SCREAMING_SNAKE_CASE     )
  					except ValueError:
  										# Avoid adding the sanitized value in the error message.
  										raise ValueError('Unable to convert value to float'     )
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Union[str, Any]     ):
  					if answer is None:
  										return None
  					try:
  										__a    : int      					=						convert_to_float(_SCREAMING_SNAKE_CASE     )
  										if isinstance(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     ) and math.isnan(_SCREAMING_SNAKE_CASE     ):
  															return None
  										return value
  					except ValueError:
  										return answer.lower()
  
  
  __lowercase			:		Tuple =			{
      """text""": lambda x: x,
      """real""": convert_to_float,
  }
  
  
  
  
  
  class 							__UpperCamelCase       (	enum.Enum      ):
  	A_			    =					0
  	A_			    =					1
  	A_			    =					2
  	A_			    =					3
  	A_			    =					4
  	A_			    =					5
  
  
  
  
  
  class 							__UpperCamelCase       (	enum.Enum      ):
  	A_			    =					0
  	A_			    =					1
  	A_			    =					2
  
  
  
  
  
  @dataclasses.dataclass
  class 							__UpperCamelCase       :
  	A_			    =					42
  	A_			    =					42
  	A_			    =					42
  
  
  
  __lowercase			:		Tuple =			re.compile(R'\w+|[^\w\s]+', re.UNICODE | re.MULTILINE | re.DOTALL)
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Optional[int]     ):
  					return list(_TOKENIZER.findall(x.lower()     )     )
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Union[str, Any]		,   _SCREAMING_SNAKE_CASE   :     Any		,   _SCREAMING_SNAKE_CASE   :     List[str]     ):
  					if operator == _Operator.EQUALS:
  										return src == tgt
  					elif operator == _Operator.GREATER:
  										return src > tgt
  					elif operator == _Operator.LESSER:
  										return src < tgt
  					raise ValueError(F"""Unknown operator: {operator}"""     )
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     List[str]		,   _SCREAMING_SNAKE_CASE   :     str		,   _SCREAMING_SNAKE_CASE   :     str     ):
  					__a    : Optional[int]      					=						table["types"]
  					return _TYPE_CONVERTER[types[column]](_SCREAMING_SNAKE_CASE     )
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Any     ):
  					return isinstance(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     )
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     int		,   _SCREAMING_SNAKE_CASE   :     List[str]		,   _SCREAMING_SNAKE_CASE   :     int     ):
  					for cond in conditions:
  										__a    : Tuple      					=						row[cond.column]
  
  										__a    : List[Any]      					=						_parse_value(_SCREAMING_SNAKE_CASE		,   cond.column		,   cond.cmp_value     )
  
  										if _is_string(_SCREAMING_SNAKE_CASE     ) and _is_string(_SCREAMING_SNAKE_CASE     ):
  															__a    : Any      					=						_normalize_for_match(_SCREAMING_SNAKE_CASE     )
  															__a    : Union[str, Any]      					=						_normalize_for_match(_SCREAMING_SNAKE_CASE     )
  
  										if not isinstance(_SCREAMING_SNAKE_CASE		,   type(_SCREAMING_SNAKE_CASE     )     ):
  															raise ValueError('Type difference {} != {}'.format(type(_SCREAMING_SNAKE_CASE     )		,   type(_SCREAMING_SNAKE_CASE     )     )     )
  
  										if not _compare(cond.operator		,   _SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     ):
  															return False
  					return True
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Tuple		,   _SCREAMING_SNAKE_CASE   :     Optional[Any]		,   _SCREAMING_SNAKE_CASE   :     List[Any]     ):
  					if not answer_coordinates:
  										if aggregation_op == _Aggregation.COUNT:
  															return 0.0
  										else:
  															return EMPTY_ANSWER_AGG
  
      # Count can support non numeric answers.
  					if aggregation_op == _Aggregation.COUNT:
  										return float(len(_SCREAMING_SNAKE_CASE     )     )
  
  					# If we have just one answer, if float returns it or try a conversion.
  					__a    : Tuple      					=						[table["rows"][i][j] for (i, j) in answer_coordinates]
  					if len(_SCREAMING_SNAKE_CASE     ) == 1:
  										try:
  															return convert_to_float(values[0]     )
  										except ValueError as e:
  															if aggregation_op != _Aggregation.NONE:
  																				raise e
  
  					if aggregation_op == _Aggregation.NONE:
  										return None
  
  					# Other aggregation only support numeric values. Bail out if we have strings.
  					if not all((isinstance(_SCREAMING_SNAKE_CASE		,   (int, float)     ) for v in values)     ):
  										return None
  
  					if aggregation_op == _Aggregation.SUM:
  										return float(sum(_SCREAMING_SNAKE_CASE     )     )
  					elif aggregation_op == _Aggregation.AVERAGE:
  										return sum(_SCREAMING_SNAKE_CASE     ) / len(_SCREAMING_SNAKE_CASE     )
  					else:
  										raise ValueError(F"""Unknown aggregation: {aggregation_op}"""     )
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     List[Any]		,   _SCREAMING_SNAKE_CASE   :     int     ):
  					__a    : Union[str, Any]      					=						sql_query["agg"]
  					if aggregation_op_index >= 3:
  										__a    : Dict      					=						_Aggregation(_SCREAMING_SNAKE_CASE     )
  					else:
  										__a    : Any      					=						_Aggregation.NONE
  
  					__a    : Optional[Any]      					=						sql_query["sel"]
  					__a    : Optional[int]      					=						[
  					    _Condition(_SCREAMING_SNAKE_CASE		,   _Operator(_SCREAMING_SNAKE_CASE     )		,   _SCREAMING_SNAKE_CASE     )
  					    for column, operator, cmp_value in zip(
  					        sql_query['conds']['column_index']		,   sql_query['conds']['operator_index']		,   sql_query['conds']['condition']     )
  					]
  
  					__a    : Optional[int]      					=						[]
  					for row in range(len(table['rows']     )     ):
  										if _respect_conditions(_SCREAMING_SNAKE_CASE		,   table['rows'][row]		,   _SCREAMING_SNAKE_CASE     ):
  															indices.append((row, target_column)     )
  
  					if not indices:
  										return [], aggregation_op
  
  					if len(_SCREAMING_SNAKE_CASE     ) == 1:
  										return indices, aggregation_op
  
  					# Parsing of MIN/MAX.
  					if aggregation_op_index in (1, 2):
  										__a    : Dict      					=						{2: min, 1: max}
  										__a    : Optional[Any]      					=						[(table["rows"][i][j], index) for index, (i, j) in enumerate(_SCREAMING_SNAKE_CASE     )]
  										__a    : Optional[Any]      					=						functools.reduce(operators[sql_query['agg']]		,   _SCREAMING_SNAKE_CASE     )
  
  										__a    : List[Any]      					=						[indices[reduced[1]]]
  										return ret, _Aggregation.NONE
  
  					return indices, aggregation_op
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     List[str]		,   _SCREAMING_SNAKE_CASE   :     str		,   _SCREAMING_SNAKE_CASE   :     Optional[Any]     ):
  					if float_answer is not None:
  										return [str(_SCREAMING_SNAKE_CASE     )]
  					return [str(table['real_rows'][r][c]     ) for r, c in answer_coordinates]
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     Optional[Any]		,   _SCREAMING_SNAKE_CASE   :     str     ):
  					__a    : Union[str, Any]      					=						_get_answer_coordinates(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     )
  					__a    : Dict      					=						_get_float_answer(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     )
  					__a    : Union[str, Any]      					=						_get_answer_text(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     )
  					# keep the original data the same with TaPas
  					if len(_SCREAMING_SNAKE_CASE     ) == 0:
  										__a    : Dict      					=						[EMPTY_ANSWER]
  					return answer_text
  
  
  
  
style_context: 
  
  
  '''simple docstring'''
  
  
  
  import itertools
  
  
  
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     int = 1_000_000     ):
  					__a    : str      					=						[1]
  
  					for i in itertools.count(len(_SCREAMING_SNAKE_CASE     )     ):
  										__a    : Dict      					=						0
  										for j in itertools.count(1     ):
  															__a    : int      					=						-1 if j % 2 == 0 else +1
  															__a    : Optional[int]      					=						(j * j * 3 - j) // 2
  															if index > i:
  																				break
  															item += partitions[i - index] * sign
  															item %= number
  															index += j
  															if index > i:
  																				break
  															item += partitions[i - index] * sign
  															item %= number
  
  										if item == 0:
  															return i
  										partitions.append(_SCREAMING_SNAKE_CASE     )
  
  					return 0
  
  
  if __name__ == "__main__":
  	import doctest
  
  	doctest.testmod()
  
  	print(f'''{solution() = }''')
  
  
  
  