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     :			Optional[int]					    =						"""none"""
a     :			Optional[int]					    =						"""none"""
def 		snake_case__  (		lowercase       ,							lowercase				):
   lowerCAmelCase_:       int         =  value.split(lowercase				)
   return len(lowercase				) > 1 and any((len(lowercase				) == 3 for x in split)				)
def 		snake_case__  (		lowercase				):
   if isinstance(lowercase       ,							lowercase				):
      return value
   if isinstance(lowercase       ,							lowercase				):
      return float(lowercase				)
   if not isinstance(lowercase       ,							lowercase				):
      raise ValueError("Argument value is not a string. Can't parse it as float"				)
   lowerCAmelCase_:       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(","       ,							lowercase				):
         return float(sanitized.replace(","       ,							""				)				)
      # 5,5556
      if "," in sanitized and sanitized.count(","				) == 1 and not _split_thousands(","       ,							lowercase				):
         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(lowercase				)
   except ValueError:
      # Avoid adding the sanitized value in the error message.
      raise ValueError("Unable to convert value to float"				)
def 		snake_case__  (		lowercase				):
   if answer is None:
      return None
   try:
      lowerCAmelCase_:       int         =  convert_to_float(lowercase				)
      if isinstance(lowercase       ,							lowercase				) and math.isnan(lowercase				):
         return None
      return value
   except ValueError:
      return answer.lower()


a     :			Tuple					    =						{
    """text""": lambda x: x,
    """real""": convert_to_float,
}

class 				_lowercase						(    enum.Enum ):






    '''simple docstring'''
    SCREAMING_SNAKE_CASE:							Optional[int]        =						0
    SCREAMING_SNAKE_CASE:							Any        =						1
    SCREAMING_SNAKE_CASE:							Union[str, Any]        =						2
    SCREAMING_SNAKE_CASE:							Union[str, Any]        =						3
    SCREAMING_SNAKE_CASE:							List[str]        =						4
    SCREAMING_SNAKE_CASE:							List[Any]        =						5





class 				_lowercase						(    enum.Enum ):






    '''simple docstring'''
    SCREAMING_SNAKE_CASE:							List[str]        =						0
    SCREAMING_SNAKE_CASE:							str        =						1
    SCREAMING_SNAKE_CASE:							Tuple        =						2





@dataclasses.dataclass
class 				_lowercase						:






    '''simple docstring'''
    SCREAMING_SNAKE_CASE:							Text
    SCREAMING_SNAKE_CASE:							_Operator
    SCREAMING_SNAKE_CASE:							Any





a     :			Tuple					    =						re.compile(r"""\w+|[^\w\s]+""", re.UNICODE | re.MULTILINE | re.DOTALL)
def 		snake_case__  (		lowercase				):
   return list(_TOKENIZER.findall(x.lower()				)				)
def 		snake_case__  (		lowercase       ,							lowercase       ,							lowercase				):
   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 		snake_case__  (		lowercase       ,							lowercase       ,							lowercase				):
   lowerCAmelCase_:       Optional[int]         =  table["types"]
   return _TYPE_CONVERTER[types[column]](lowercase				)
def 		snake_case__  (		lowercase				):
   return isinstance(lowercase       ,							lowercase				)
def 		snake_case__  (		lowercase       ,							lowercase       ,							lowercase				):
   for cond in conditions:
      lowerCAmelCase_:       Tuple         =  row[cond.column]

      lowerCAmelCase_:       List[Any]         =  _parse_value(lowercase       ,							cond.column       ,							cond.cmp_value				)

      if _is_string(lowercase				) and _is_string(lowercase				):
         lowerCAmelCase_:       Any         =  _normalize_for_match(lowercase				)
         lowerCAmelCase_:       Union[str, Any]         =  _normalize_for_match(lowercase				)

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

      if not _compare(cond.operator       ,							lowercase       ,							lowercase				):
         return False
   return True
def 		snake_case__  (		lowercase       ,							lowercase       ,							lowercase				):
   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(lowercase				)				)

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

   if aggregation_op == _Aggregation.SUM:
      return float(sum(lowercase				)				)
   elif aggregation_op == _Aggregation.AVERAGE:
      return sum(lowercase				) / len(lowercase				)
   else:
      raise ValueError(F'''Unknown aggregation: {aggregation_op}'''				)
def 		snake_case__  (		lowercase       ,							lowercase				):
   lowerCAmelCase_:       Union[str, Any]         =  sql_query["agg"]
   if aggregation_op_index >= 3:
      lowerCAmelCase_:       Dict         =  _Aggregation(lowercase				)
   else:
      lowerCAmelCase_:       Any         =  _Aggregation.NONE

   lowerCAmelCase_:       Optional[Any]         =  sql_query["sel"]
   lowerCAmelCase_:       Optional[int]         =  [
       _Condition(lowercase       ,							_Operator(lowercase				)       ,							lowercase				)
       for column, operator, cmp_value in zip(
           sql_query["conds"]["column_index"]       ,							sql_query["conds"]["operator_index"]       ,							sql_query["conds"]["condition"]				)
   ]

   lowerCAmelCase_:       Optional[int]         =  []
   for row in range(len(table["rows"]				)				):
      if _respect_conditions(lowercase       ,							table["rows"][row]       ,							lowercase				):
         indices.append((row, target_column)				)

   if not indices:
      return [], aggregation_op

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

   # Parsing of MIN/MAX.
   if aggregation_op_index in (1, 2):
      lowerCAmelCase_:       Dict         =  {2: min, 1: max}
      lowerCAmelCase_:       Optional[Any]         =  [(table["rows"][i][j], index) for index, (i, j) in enumerate(lowercase				)]
      lowerCAmelCase_:       Optional[Any]         =  functools.reduce(operators[sql_query["agg"]]       ,							lowercase				)

      lowerCAmelCase_:       List[Any]         =  [indices[reduced[1]]]
      return ret, _Aggregation.NONE

   return indices, aggregation_op
def 		snake_case__  (		lowercase       ,							lowercase       ,							lowercase				):
   if float_answer is not None:
      return [str(lowercase				)]
   return [str(table["real_rows"][r][c]				) for r, c in answer_coordinates]







def 		snake_case__  (		lowercase       ,							lowercase				):
   lowerCAmelCase_     ,  lowerCAmelCase_:       Union[str, Any]         =  _get_answer_coordinates(lowercase       ,							lowercase				)
   lowerCAmelCase_:       Dict         =  _get_float_answer(lowercase       ,							lowercase       ,							lowercase				)
   lowerCAmelCase_:       Union[str, Any]         =  _get_answer_text(lowercase       ,							lowercase       ,							lowercase				)
   # keep the original data the same with TaPas
   if len(lowercase				) == 0:
      lowerCAmelCase_:       Dict         =  [EMPTY_ANSWER]
   return answer_text
from .balanced_parentheses import balanced_parentheses
from .stack import Stack
def 		snake_case__  (		lowercase				):
   return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(lowercase       ,							-1				)
def 		snake_case__  (		lowercase				):
   if not balanced_parentheses(lowercase				):
      raise ValueError("Mismatched parentheses"				)
   lowerCAmelCase_:       Stack[str]         =  Stack()
   lowerCAmelCase_:       Union[str, Any]         =  []
   for char in expression_str:
      if char.isalpha() or char.isdigit():
         postfix.append(lowercase				)
      elif char == "(":
         stack.push(lowercase				)
      elif char == ")":
         while not stack.is_empty() and stack.peek() != "(":
            postfix.append(stack.pop()				)
         stack.pop()
      else:
         while not stack.is_empty() and precedence(lowercase				) <= precedence(stack.peek()				):
            postfix.append(stack.pop()				)
         stack.push(lowercase				)
   while not stack.is_empty():
      postfix.append(stack.pop()				)
   return " ".join(lowercase				)


if __name__ == "__main__":
 from doctest import testmod

 testmod()
 a     :			int					    =						"""a+b*(c^d-e)^(f+g*h)-i"""

 print("""Infix to Postfix Notation demonstration:\n""")
 print("""Infix notation: """ + expression)
 print("""Postfix notation: """ + infix_to_postfix(expression))