




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


lowerCamelCase_  						=   "none"
lowerCamelCase_  						=   "none"



def 	UpperCAmelCase_    (	__UpperCamelCase,				__UpperCamelCase	):
    SCREAMING_SNAKE_CASE__								=value.split(__UpperCamelCase	)
    return len(__UpperCamelCase	) > 1 and any((len(__UpperCamelCase	) == 3 for x in split)	)



def 	UpperCAmelCase_    (	__UpperCamelCase	):
    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"""	)
    SCREAMING_SNAKE_CASE__								=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	):
    if answer is None:
        return None
    try:
        SCREAMING_SNAKE_CASE__								=convert_to_float(__UpperCamelCase	)
        if isinstance(__UpperCamelCase,				__UpperCamelCase	) and math.isnan(__UpperCamelCase	):
            return None
        return value
    except ValueError:
        return answer.lower()


lowerCamelCase_  						=   {
    "text": lambda x: x,
    "real": convert_to_float,
}
class       __a					( enum.Enum     ):


     """simple docstring"""


     _A				:    int									=  0
     _A				:    List[str]									=  1
     _A				:    List[str]									=  2
     _A				:    Optional[Any]									=  3
     _A				:    Optional[int]									=  4
     _A				:    Optional[Any]									=  5






class       __a					( enum.Enum     ):


     """simple docstring"""


     _A				:    Tuple									=  0
     _A				:    Optional[int]									=  1
     _A				:    List[str]									=  2






@dataclasses.dataclass
class       __a					:


     """simple docstring"""


     _A				:    Text
     _A				:    _Operator
     _A				:    Any






lowerCamelCase_  						=   re.compile(r"\w+|[^\w\s]+", re.UNICODE | re.MULTILINE | re.DOTALL)



def 	UpperCAmelCase_    (	__UpperCamelCase	):
    return list(_TOKENIZER.findall(x.lower()	)	)



def 	UpperCAmelCase_    (	__UpperCamelCase,				__UpperCamelCase,				__UpperCamelCase	):
    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,				__UpperCamelCase,				__UpperCamelCase	):
    SCREAMING_SNAKE_CASE__								=table["""types"""]
    return _TYPE_CONVERTER[types[column]](__UpperCamelCase	)



def 	UpperCAmelCase_    (	__UpperCamelCase	):
    return isinstance(__UpperCamelCase,				__UpperCamelCase	)



def 	UpperCAmelCase_    (	__UpperCamelCase,				__UpperCamelCase,				__UpperCamelCase	):
    for cond in conditions:
        SCREAMING_SNAKE_CASE__								=row[cond.column]

        SCREAMING_SNAKE_CASE__								=_parse_value(__UpperCamelCase,				cond.column,				cond.cmp_value	)

        if _is_string(__UpperCamelCase	) and _is_string(__UpperCamelCase	):
            SCREAMING_SNAKE_CASE__								=_normalize_for_match(__UpperCamelCase	)
            SCREAMING_SNAKE_CASE__								=_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,				__UpperCamelCase,				__UpperCamelCase	):
    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.
    SCREAMING_SNAKE_CASE__								=[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,				__UpperCamelCase	):
    SCREAMING_SNAKE_CASE__								=sql_query["""agg"""]
    if aggregation_op_index >= 3:
        SCREAMING_SNAKE_CASE__								=_Aggregation(__UpperCamelCase	)
    else:
        SCREAMING_SNAKE_CASE__								=_Aggregation.NONE

    SCREAMING_SNAKE_CASE__								=sql_query["""sel"""]
    SCREAMING_SNAKE_CASE__								=[
        _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"""]	)
    ]

    SCREAMING_SNAKE_CASE__								=[]
    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):
        SCREAMING_SNAKE_CASE__								={2: min, 1: max}
        SCREAMING_SNAKE_CASE__								=[(table["""rows"""][i][j], index) for index, (i, j) in enumerate(__UpperCamelCase	)]
        SCREAMING_SNAKE_CASE__								=functools.reduce(operators[sql_query["""agg"""]],				__UpperCamelCase	)

        SCREAMING_SNAKE_CASE__								=[indices[reduced[1]]]
        return ret, _Aggregation.NONE

    return indices, aggregation_op



def 	UpperCAmelCase_    (	__UpperCamelCase,				__UpperCamelCase,				__UpperCamelCase	):
    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,				__UpperCamelCase	):
    SCREAMING_SNAKE_CASE__			,		SCREAMING_SNAKE_CASE__								=_get_answer_coordinates(__UpperCamelCase,				__UpperCamelCase	)
    SCREAMING_SNAKE_CASE__								=_get_float_answer(__UpperCamelCase,				__UpperCamelCase,				__UpperCamelCase	)
    SCREAMING_SNAKE_CASE__								=_get_answer_text(__UpperCamelCase,				__UpperCamelCase,				__UpperCamelCase	)
    # keep the original data the same with TaPas
    if len(__UpperCamelCase	) == 0:
        SCREAMING_SNAKE_CASE__								=[EMPTY_ANSWER]
    return answer_text












from __future__ import annotations

import random
from collections.abc import Iterable
from typing import Any, Generic, TypeVar

lowerCamelCase_  						=   TypeVar("T", bound=bool)
class       __a					( Generic[T]     ):


     """simple docstring"""


     def __init__(	self			: Union[str, Any]				,_UpperCamelCase			: T						)		->   None:


         '''simple docstring'''





         SCREAMING_SNAKE_CASE__								=value
         SCREAMING_SNAKE_CASE__								=None
         SCREAMING_SNAKE_CASE__								=None




     @property
     def   __A				(	self			: Optional[Any]						)		->   T:


         '''simple docstring'''





         return self._value




     @staticmethod
     def   __A				(	_UpperCamelCase			: RandomizedHeapNode[T] | None				,_UpperCamelCase			: RandomizedHeapNode[T] | None						)		->   RandomizedHeapNode[T] | None:


         '''simple docstring'''





         if not roota:
             return roota

         if not roota:
             return roota

         if roota.value > roota.value:
             SCREAMING_SNAKE_CASE__			,		SCREAMING_SNAKE_CASE__								=roota, roota

         if random.choice([True, False]						):
             SCREAMING_SNAKE_CASE__			,		SCREAMING_SNAKE_CASE__								=roota.right, roota.left

         SCREAMING_SNAKE_CASE__								=RandomizedHeapNode.merge(roota.left				,_UpperCamelCase						)

         return roota






class       __a					( Generic[T]     ):


     """simple docstring"""


     def __init__(	self			: Any				,_UpperCamelCase			: Iterable[T] | None = ()						)		->   None:


         '''simple docstring'''





         SCREAMING_SNAKE_CASE__								=None

         if data:
             for item in data:
                 self.insert(_UpperCamelCase						)




     def   __A				(	self			: Union[str, Any]				,_UpperCamelCase			: T						)		->   None:


         '''simple docstring'''





         SCREAMING_SNAKE_CASE__								=RandomizedHeapNode.merge(self._root				,RandomizedHeapNode(_UpperCamelCase						)						)




     def   __A				(	self			: Dict						)		->   T | None:


         '''simple docstring'''





         SCREAMING_SNAKE_CASE__								=self.top()

         if self._root is None:
             return None

         SCREAMING_SNAKE_CASE__								=RandomizedHeapNode.merge(self._root.left				,self._root.right						)

         return result




     def   __A				(	self			: Optional[Any]						)		->   T:


         '''simple docstring'''





         if not self._root:
             raise IndexError("""Can't get top element for the empty heap."""						)
         return self._root.value




     def   __A				(	self			: Optional[int]						)		->   None:


         '''simple docstring'''





         SCREAMING_SNAKE_CASE__								=None




     def   __A				(	self			: List[Any]						)		->   list[Any]:


         '''simple docstring'''





         SCREAMING_SNAKE_CASE__								=[]
         while self:
             result.append(self.pop()						)

         return result




     def __bool__(	self			: Tuple						)		->   bool:


         '''simple docstring'''





         return self._root is not None


if __name__ == "__main__":
    import doctest

    doctest.testmod()






