"""simple docstring"""







import math
from timeit import timeit
def     __UpperCAmelCase							(       UpperCAmelCase_       :							int    )				->     int:

	'''simple docstring'''





	__snake_case     :				Tuple 						=					0
	__snake_case     :				Any 						=					abs(UpperCAmelCase_    )
	while True:
		__snake_case     :				Union[str, Any] 						=					n // 10
		digits += 1
		if n == 0:
			break
	return digits
def     __UpperCAmelCase							(       UpperCAmelCase_       :							int    )				->     int:

	'''simple docstring'''





	return 1 if n == 0 else math.floor(math.log(abs(UpperCAmelCase_    )     ,				10    ) + 1    )
def     __UpperCAmelCase							(       UpperCAmelCase_       :							int    )				->     int:

	'''simple docstring'''





	return len(str(abs(UpperCAmelCase_    )    )    )
def     __UpperCAmelCase							(       )				->     None:

	'''simple docstring'''





	from collections.abc import Callable

	def benchmark_a_function(UpperCAmelCase_       :							Callable     ,				UpperCAmelCase_       :							int    ) -> None:
		__snake_case     :				Any 						=					F"{func.__name__}({value})"
		__snake_case     :				Tuple 						=					timeit(F"__main__.{call}"     ,				setup='import __main__'    )
		print(F"{call}: {func(UpperCAmelCase_    )} -- {timing} seconds"    )

	for value in (26_21_44, 11_25_89_99_06_84_26_24, 1_26_76_50_60_02_28_22_94_01_49_67_03_20_53_76):
		for func in (num_digits, num_digits_fast, num_digits_faster):
			benchmark_a_function(UpperCAmelCase_     ,				UpperCAmelCase_    )
		print()


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	benchmark()






"""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


_a	:	List[Any]=					"none"
_a	:	List[str]=					"none"
def     __UpperCAmelCase							(       UpperCAmelCase_       :							Optional[int]     ,				UpperCAmelCase_       :							Tuple    )				->     Dict:

	'''simple docstring'''





	__snake_case     :				int 						=					value.split(UpperCAmelCase_    )
	return len(UpperCAmelCase_    ) > 1 and any((len(UpperCAmelCase_    ) == 3 for x in split)    )
def     __UpperCAmelCase							(       UpperCAmelCase_       :							Optional[Any]    )				->     Tuple:

	'''simple docstring'''





	if isinstance(UpperCAmelCase_     ,				UpperCAmelCase_    ):
		return value
	if isinstance(UpperCAmelCase_     ,				UpperCAmelCase_    ):
		return float(UpperCAmelCase_    )
	if not isinstance(UpperCAmelCase_     ,				UpperCAmelCase_    ):
		raise ValueError('Argument value is not a string. Can\'t parse it as float'    )
	__snake_case     :				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(','     ,				UpperCAmelCase_    ):
			return float(sanitized.replace(','     ,				''    )    )
		# 5,5556
		if "," in sanitized and sanitized.count(','    ) == 1 and not _split_thousands(','     ,				UpperCAmelCase_    ):
			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(UpperCAmelCase_    )
	except ValueError:
		# Avoid adding the sanitized value in the error message.
		raise ValueError('Unable to convert value to float'    )
def     __UpperCAmelCase							(       UpperCAmelCase_       :							str    )				->     Any:

	'''simple docstring'''





	if answer is None:
		return None
	try:
		__snake_case     :				Dict 						=					convert_to_float(UpperCAmelCase_    )
		if isinstance(UpperCAmelCase_     ,				UpperCAmelCase_    ) and math.isnan(UpperCAmelCase_    ):
			return None
		return value
	except ValueError:
		return answer.lower()


_a	:	Union[str, Any]=					{
    "text": lambda x: x,
    "real": convert_to_float,
}

class 						UpperCamelCase     (       enum.Enum		):
				UpperCAmelCase							: int       =						0
				UpperCAmelCase							: Optional[Any]       =						1
				UpperCAmelCase							: List[Any]       =						2
				UpperCAmelCase							: Dict       =						3
				UpperCAmelCase							: Union[str, Any]       =						4
				UpperCAmelCase							: int       =						5







class 						UpperCamelCase     (       enum.Enum		):
				UpperCAmelCase							: List[str]       =						0
				UpperCAmelCase							: List[str]       =						1
				UpperCAmelCase							: int       =						2







@dataclasses.dataclass
class 						UpperCamelCase     :
				UpperCAmelCase							: Text
				UpperCAmelCase							: _Operator
				UpperCAmelCase							: Any







_a	:	Union[str, Any]=					re.compile(R"\w+|[^\w\s]+", re.UNICODE | re.MULTILINE | re.DOTALL)
def     __UpperCAmelCase							(       UpperCAmelCase_       :							List[str]    )				->     Optional[Any]:

	'''simple docstring'''





	return list(_TOKENIZER.findall(x.lower()    )    )
def     __UpperCAmelCase							(       UpperCAmelCase_       :							Tuple     ,				UpperCAmelCase_       :							int     ,				UpperCAmelCase_       :							List[Any]    )				->     List[str]:

	'''simple docstring'''





	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     __UpperCAmelCase							(       UpperCAmelCase_       :							List[Any]     ,				UpperCAmelCase_       :							int     ,				UpperCAmelCase_       :							Optional[Any]    )				->     Dict:

	'''simple docstring'''





	__snake_case     :				Optional[Any] 						=					table['types']
	return _TYPE_CONVERTER[types[column]](UpperCAmelCase_    )
def     __UpperCAmelCase							(       UpperCAmelCase_       :							List[Any]    )				->     str:

	'''simple docstring'''





	return isinstance(UpperCAmelCase_     ,				UpperCAmelCase_    )
def     __UpperCAmelCase							(       UpperCAmelCase_       :							Dict     ,				UpperCAmelCase_       :							Union[str, Any]     ,				UpperCAmelCase_       :							int    )				->     List[Any]:

	'''simple docstring'''





	for cond in conditions:
		__snake_case     :				Any 						=					row[cond.column]

		__snake_case     :				Tuple 						=					_parse_value(UpperCAmelCase_     ,				cond.column     ,				cond.cmp_value    )

		if _is_string(UpperCAmelCase_    ) and _is_string(UpperCAmelCase_    ):
			__snake_case     :				str 						=					_normalize_for_match(UpperCAmelCase_    )
			__snake_case     :				Dict 						=					_normalize_for_match(UpperCAmelCase_    )

		if not isinstance(UpperCAmelCase_     ,				type(UpperCAmelCase_    )    ):
			raise ValueError('Type difference {} != {}'.format(type(UpperCAmelCase_    )     ,				type(UpperCAmelCase_    )    )    )

		if not _compare(cond.operator     ,				UpperCAmelCase_     ,				UpperCAmelCase_    ):
			return False
	return True
def     __UpperCAmelCase							(       UpperCAmelCase_       :							Union[str, Any]     ,				UpperCAmelCase_       :							List[str]     ,				UpperCAmelCase_       :							Optional[int]    )				->     Dict:

	'''simple docstring'''





	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(UpperCAmelCase_    )    )

	# If we have just one answer, if float returns it or try a conversion.
	__snake_case     :				Any 						=					[table['rows'][i][j] for (i, j) in answer_coordinates]
	if len(UpperCAmelCase_    ) == 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(UpperCAmelCase_     ,				(int, float)    ) for v in values)    ):
		return None

	if aggregation_op == _Aggregation.SUM:
		return float(sum(UpperCAmelCase_    )    )
	elif aggregation_op == _Aggregation.AVERAGE:
		return sum(UpperCAmelCase_    ) / len(UpperCAmelCase_    )
	else:
		raise ValueError(F"Unknown aggregation: {aggregation_op}"    )
def     __UpperCAmelCase							(       UpperCAmelCase_       :							Optional[Any]     ,				UpperCAmelCase_       :							int    )				->     str:

	'''simple docstring'''





	__snake_case     :				int 						=					sql_query['agg']
	if aggregation_op_index >= 3:
		__snake_case     :				Optional[Any] 						=					_Aggregation(UpperCAmelCase_    )
	else:
		__snake_case     :				Any 						=					_Aggregation.NONE

	__snake_case     :				Dict 						=					sql_query['sel']
	__snake_case     :				Dict 						=					[
	    _Condition(UpperCAmelCase_     ,				_Operator(UpperCAmelCase_    )     ,				UpperCAmelCase_    )
	    for column, operator, cmp_value in zip(
	        sql_query['conds']['column_index']     ,				sql_query['conds']['operator_index']     ,				sql_query['conds']['condition']    )
	]

	__snake_case     :				str 						=					[]
	for row in range(len(table['rows']    )    ):
		if _respect_conditions(UpperCAmelCase_     ,				table['rows'][row]     ,				UpperCAmelCase_    ):
			indices.append((row, target_column)    )

	if not indices:
		return [], aggregation_op

	if len(UpperCAmelCase_    ) == 1:
		return indices, aggregation_op

	# Parsing of MIN/MAX.
	if aggregation_op_index in (1, 2):
		__snake_case     :				Union[str, Any] 						=					{2: min, 1: max}
		__snake_case     :				Optional[Any] 						=					[(table['rows'][i][j], index) for index, (i, j) in enumerate(UpperCAmelCase_    )]
		__snake_case     :				Tuple 						=					functools.reduce(operators[sql_query['agg']]     ,				UpperCAmelCase_    )

		__snake_case     :				str 						=					[indices[reduced[1]]]
		return ret, _Aggregation.NONE

	return indices, aggregation_op
def     __UpperCAmelCase							(       UpperCAmelCase_       :							Dict     ,				UpperCAmelCase_       :							List[Any]     ,				UpperCAmelCase_       :							Any    )				->     Optional[Any]:

	'''simple docstring'''





	if float_answer is not None:
		return [str(UpperCAmelCase_    )]
	return [str(table['real_rows'][r][c]    ) for r, c in answer_coordinates]

def     __UpperCAmelCase							(       UpperCAmelCase_       :							int     ,				UpperCAmelCase_       :							Tuple    )				->     List:

	'''simple docstring'''





	__snake_case						,							__snake_case     :				List[Any] 						=					_get_answer_coordinates(UpperCAmelCase_     ,				UpperCAmelCase_    )
	__snake_case     :				Optional[int] 						=					_get_float_answer(UpperCAmelCase_     ,				UpperCAmelCase_     ,				UpperCAmelCase_    )
	__snake_case     :				Union[str, Any] 						=					_get_answer_text(UpperCAmelCase_     ,				UpperCAmelCase_     ,				UpperCAmelCase_    )
	# keep the original data the same with TaPas
	if len(UpperCAmelCase_    ) == 0:
		__snake_case     :				List[str] 						=					[EMPTY_ANSWER]
	return answer_text





