





'''simple docstring'''

def lowerCamelCase						(     __lowerCamelCase :    list[list]    )						->list[list]:
    _SCREAMING_SNAKE_CASE									=			current_set.copy()
    for row_index, row in enumerate(__lowerCamelCase    ):
        _SCREAMING_SNAKE_CASE									=			row[0]
        for column_index, column in enumerate(__lowerCamelCase    ):
            if magnitude == 0:
                _SCREAMING_SNAKE_CASE									=			column
                continue
            _SCREAMING_SNAKE_CASE									=			column / magnitude
    # Subtract to cancel term
    _SCREAMING_SNAKE_CASE									=			current_set[0]
    _SCREAMING_SNAKE_CASE									=			[first_row]
    _SCREAMING_SNAKE_CASE									=			current_set[1::]
    for row in current_set:
        _SCREAMING_SNAKE_CASE									=			[]
        # If first term is 0, it is already in form we want, so we preserve it
        if row[0] == 0:
            final_set.append(__lowerCamelCase    )
            continue
        for column_index in range(len(__lowerCamelCase    )    ):
            temp_row.append(first_row[column_index] - row[column_index]    )
        final_set.append(__lowerCamelCase    )
    # Create next recursion iteration set
    if len(final_set[0]    ) != 3:
        _SCREAMING_SNAKE_CASE									=			final_set[0]
        _SCREAMING_SNAKE_CASE									=			[]
        _SCREAMING_SNAKE_CASE									=			[]
        for row in final_set[1::]:
            current_first_column.append(row[0]    )
            next_iteration.append(row[1::]    )
        _SCREAMING_SNAKE_CASE									=			simplify(__lowerCamelCase    )
        for i in range(len(__lowerCamelCase    )    ):
            resultant[i].insert(0					,       current_first_column[i]    )
        resultant.insert(0					,       __lowerCamelCase    )
        _SCREAMING_SNAKE_CASE									=			resultant
    return final_set





def lowerCamelCase						(     __lowerCamelCase :    list[list]    )						->list:
    if len(__lowerCamelCase    ) == 0:
        raise IndexError("""solve_simultaneous() requires n lists of length n+1"""    )
    _SCREAMING_SNAKE_CASE									=			len(__lowerCamelCase    ) + 1
    if any(len(__lowerCamelCase    ) != _length for item in equations    ):
        raise IndexError("""solve_simultaneous() requires n lists of length n+1"""    )
    for row in equations:
        if any(not isinstance(__lowerCamelCase					,       (int, float)    ) for column in row    ):
            raise ValueError("""solve_simultaneous() requires lists of integers"""    )
    if len(__lowerCamelCase    ) == 1:
        return [equations[0][-1] / equations[0][0]]
    _SCREAMING_SNAKE_CASE									=			equations.copy()
    if any(0 in row for row in data_set    ):
        _SCREAMING_SNAKE_CASE									=			data_set.copy()
        _SCREAMING_SNAKE_CASE									=			[]
        for row_index, row in enumerate(__lowerCamelCase    ):
            if 0 not in row:
                _SCREAMING_SNAKE_CASE									=			data_set.pop(__lowerCamelCase    )
                break
        if not full_row:
            raise ValueError("""solve_simultaneous() requires at least 1 full equation"""    )
        data_set.insert(0					,       __lowerCamelCase    )
    _SCREAMING_SNAKE_CASE									=			data_set.copy()
    _SCREAMING_SNAKE_CASE									=			simplify(__lowerCamelCase    )
    _SCREAMING_SNAKE_CASE									=			simplified[::-1]
    _SCREAMING_SNAKE_CASE									=			[]
    for row in simplified:
        _SCREAMING_SNAKE_CASE									=			row[-1]
        if not solutions:
            if row[-2] == 0:
                solutions.append(0    )
                continue
            solutions.append(current_solution / row[-2]    )
            continue
        _SCREAMING_SNAKE_CASE									=			row.copy()[: len(__lowerCamelCase    ) - 1 :]
        while temp_row[0] == 0:
            temp_row.pop(0    )
        if len(__lowerCamelCase    ) == 0:
            solutions.append(0    )
            continue
        _SCREAMING_SNAKE_CASE									=			temp_row[1::]
        _SCREAMING_SNAKE_CASE									=			temp_row[::-1]
        for column_index, column in enumerate(__lowerCamelCase    ):
            current_solution -= column * solutions[column_index]
        solutions.append(__lowerCamelCase    )
    _SCREAMING_SNAKE_CASE									=			[]
    for item in solutions:
        final.append(float(round(__lowerCamelCase					,       5    )    )    )
    return final[::-1]


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      lowercase_					= [
          [2, 1, 1, 1, 1, 4],
          [1, 2, 1, 1, 1, 5],
          [1, 1, 2, 1, 1, 6],
          [1, 1, 1, 2, 1, 7],
          [1, 1, 1, 1, 2, 8],
      ]
      print(solve_simultaneous(eq))
      print(solve_simultaneous([[4, 2]]))










'''simple docstring'''

import importlib.metadata
import operator
import re
import sys
from typing import Optional

from packaging import version


lowercase_					= {
    """<""": operator.lt,
    """<=""": operator.le,
    """==""": operator.eq,
    """!=""": operator.ne,
    """>=""": operator.ge,
    """>""": operator.gt,
}





def lowerCamelCase						(     __lowerCamelCase :    Tuple					,       __lowerCamelCase :    Optional[Any]					,       __lowerCamelCase :    Dict					,       __lowerCamelCase :    List[Any]					,       __lowerCamelCase :    Optional[int]					,       __lowerCamelCase :    Optional[Any]    )						->Tuple:
    if got_ver is None or want_ver is None:
        raise ValueError(
            F'Unable to compare versions for {requirement}: need={want_ver} found={got_ver}. This is unusual. Consider'
            F' reinstalling {pkg}.'    )
    if not ops[op](version.parse(__lowerCamelCase    )					,       version.parse(__lowerCamelCase    )    ):
        raise ImportError(
            F'{requirement} is required for a normal functioning of this module, but found {pkg}=={got_ver}.{hint}'    )





def lowerCamelCase						(     __lowerCamelCase :    str					,       __lowerCamelCase :    Optional[str] = None    )						->None:
    _SCREAMING_SNAKE_CASE									=			F'\n{hint}' if hint is not None else """"""

    # non-versioned check
    if re.match(R"""^[\w_\-\d]+$"""					,       __lowerCamelCase    ):
        _SCREAMING_SNAKE_CASE				,       _SCREAMING_SNAKE_CASE				,       _SCREAMING_SNAKE_CASE									=			requirement, None, None
    else:
        _SCREAMING_SNAKE_CASE									=			re.findall(R"""^([^!=<>\s]+)([\s!=<>]{1,2}.+)"""					,       __lowerCamelCase    )
        if not match:
            raise ValueError(
                """requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23, but"""
                F' got {requirement}'    )
        _SCREAMING_SNAKE_CASE				,       _SCREAMING_SNAKE_CASE									=			match[0]
        _SCREAMING_SNAKE_CASE									=			want_full.split(""","""    )  # there could be multiple requirements
        _SCREAMING_SNAKE_CASE									=			{}
        for w in want_range:
            _SCREAMING_SNAKE_CASE									=			re.findall(R"""^([\s!=<>]{1,2})(.+)"""					,       __lowerCamelCase    )
            if not match:
                raise ValueError(
                    """requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23,"""
                    F' but got {requirement}'    )
            _SCREAMING_SNAKE_CASE				,       _SCREAMING_SNAKE_CASE									=			match[0]
            _SCREAMING_SNAKE_CASE									=			want_ver
            if op not in ops:
                raise ValueError(F'{requirement}: need one of {list(ops.keys()    )}, but got {op}'    )

    # special case
    if pkg == "python":
        _SCREAMING_SNAKE_CASE									=			""".""".join([str(__lowerCamelCase    ) for x in sys.version_info[:3]]    )
        for op, want_ver in wanted.items():
            _compare_versions(__lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase    )
        return

    # check if any version is installed
    try:
        _SCREAMING_SNAKE_CASE									=			importlib.metadata.version(__lowerCamelCase    )
    except importlib.metadata.PackageNotFoundError:
        raise importlib.metadata.PackageNotFoundError(
            F'The \'{requirement}\' distribution was not found and is required by this application. {hint}'    )

    # check that the right version is installed if version number or a range was provided
    if want_ver is not None:
        for op, want_ver in wanted.items():
            _compare_versions(__lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase					,       __lowerCamelCase    )






def lowerCamelCase						(     __lowerCamelCase :    Union[str, Any]    )						->str:
    _SCREAMING_SNAKE_CASE									=			"""Try: pip install transformers -U or pip install -e '.[dev]' if you're working with git main"""
    return require_version(__lowerCamelCase					,       __lowerCamelCase    )



