






"""simple docstring"""




from __future__ import annotations

from typing import Any

def     lowerCAmelCase__  (  *UpperCamelCase__       ):



  '''simple docstring'''
  if all(_check_not_integer(UpperCamelCase__       ) for m in matrix_s       ):
    for i in matrix_s[1:]:
      _verify_matrix_sizes(matrix_s[0]  ,     UpperCamelCase__       )
    return [[sum(UpperCamelCase__       ) for t in zip(*UpperCamelCase__       )] for m in zip(*UpperCamelCase__       )]
  raise TypeError("""Expected a matrix, got int/list instead"""       )

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  if (
      _check_not_integer(UpperCamelCase__       )
      and _check_not_integer(UpperCamelCase__       )
      and _verify_matrix_sizes(UpperCamelCase__  ,     UpperCamelCase__       )
  ):
    return [[i - j for i, j in zip(*UpperCamelCase__       )] for m in zip(UpperCamelCase__  ,     UpperCamelCase__       )]
  raise TypeError("""Expected a matrix, got int/list instead"""       )

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  return [[x * n for x in row] for row in matrix]

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  if _check_not_integer(UpperCamelCase__       ) and _check_not_integer(UpperCamelCase__       ):
    _a						: Any    =			_verify_matrix_sizes(UpperCamelCase__  ,     UpperCamelCase__       )

  if cols[0] != rows[1]:
    _a						: Optional[Any]    =			(
        """Cannot multiply matrix of dimensions """
        F"""({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})"""
    )
    raise ValueError(UpperCamelCase__       )
  return [
      [sum(m * n for m, n in zip(UpperCamelCase__  ,     UpperCamelCase__       )       ) for j in zip(*UpperCamelCase__       )] for i in matrix_a
  ]

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''simple docstring'''
  _a						: List[str]    =			int(UpperCamelCase__       )
  return [[int(row == column       ) for column in range(UpperCamelCase__       )] for row in range(UpperCamelCase__       )]

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__ = True       ):



  '''simple docstring'''
  if _check_not_integer(UpperCamelCase__       ):
    if return_map:
      return map(UpperCamelCase__  ,     zip(*UpperCamelCase__       )       )
    else:
      return list(map(UpperCamelCase__  ,     zip(*UpperCamelCase__       )       )       )
  raise TypeError("""Expected a matrix, got int/list instead"""       )

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  _a						: Optional[int]    =			matrix[:row] + matrix[row + 1 :]
  return [row[:column] + row[column + 1 :] for row in minor]

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''simple docstring'''
  if len(UpperCamelCase__       ) == 1:
    return matrix[0][0]

  return sum(
      x * determinant(minor(UpperCamelCase__  ,     0  ,     UpperCamelCase__       )       ) * (-1) ** i
      for i, x in enumerate(matrix[0]       )       )

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''simple docstring'''
  _a						: Tuple    =			determinant(UpperCamelCase__       )
  if det == 0:
    return None

  _a						: int    =			[
      [determinant(minor(UpperCamelCase__  ,     UpperCamelCase__  ,     UpperCamelCase__       )       ) for j in range(len(UpperCamelCase__       )       )]
      for i in range(len(UpperCamelCase__       )       )
  ]

  _a						: Union[str, Any]    =			[
      [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]       )]
      for row in range(len(UpperCamelCase__       )       )
  ]
  _a						: Any    =			list(transpose(UpperCamelCase__       )       )
  return scalar_multiply(UpperCamelCase__  ,     1 / det       )

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''simple docstring'''
  return not isinstance(UpperCamelCase__  ,     UpperCamelCase__       ) and not isinstance(matrix[0]  ,     UpperCamelCase__       )

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''simple docstring'''
  return len(UpperCamelCase__       ), len(matrix[0]       )

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  _a						: str    =			_shape(UpperCamelCase__       ) + _shape(UpperCamelCase__       )
  if shape[0] != shape[3] or shape[1] != shape[2]:
    _a						: Optional[int]    =			(
        """operands could not be broadcast together with shape """
        F"""({shape[0], shape[1]}), ({shape[2], shape[3]})"""
    )
    raise ValueError(UpperCamelCase__       )
  return (shape[0], shape[2]), (shape[1], shape[3])

def     lowerCAmelCase__  (  ):



  '''simple docstring'''
  _a						: List[Any]    =			[[1_2, 1_0], [3, 9]]
  _a						: Tuple    =			[[3, 4], [7, 4]]
  _a						: str    =			[[1_1, 1_2, 1_3, 1_4], [2_1, 2_2, 2_3, 2_4], [3_1, 3_2, 3_3, 3_4], [4_1, 4_2, 4_3, 4_4]]
  _a						: int    =			[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
  print(F"""Add Operation, {add(UpperCamelCase__  ,     UpperCamelCase__       ) = } \n"""       )
  print(
      F"""Multiply Operation, {multiply(UpperCamelCase__  ,     UpperCamelCase__       ) = } \n"""  ,     )
  print(F"""Identity: {identity(5       )}\n"""       )
  print(F"""Minor of {matrix_c} = {minor(UpperCamelCase__  ,     1  ,     2       )} \n"""       )
  print(F"""Determinant of {matrix_b} = {determinant(UpperCamelCase__       )} \n"""       )
  print(F"""Inverse of {matrix_d} = {inverse(UpperCamelCase__       )}\n"""       )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()









"""simple docstring"""




import json
import logging
import os
import subprocess
from argparse import ArgumentParser


_snake_case					   =     logging.getLogger(__name__)

def     lowerCAmelCase__  (  ):



  '''simple docstring'''
  _a						: Any    =			ArgumentParser()
  _a   ,						_a						: str    =			parser.parse_known_args()
  for arg in unknown:
    if arg.startswith(("""-""", """--""")       ):
      parser.add_argument(arg.split("""="""       )[0]       )

  return parser.parse_args()

def     lowerCAmelCase__  (  ):



  '''simple docstring'''
  _a						: Optional[Any]    =			parse_args()
  _a						: Any    =			8_8_8_8
  _a						: List[str]    =			int(os.environ["""SM_NUM_GPUS"""]       )
  _a						: Union[str, Any]    =			json.loads(os.environ["""SM_HOSTS"""]       )
  _a						: Tuple    =			len(UpperCamelCase__       )
  _a						: Optional[int]    =			os.environ["""SM_CURRENT_HOST"""]
  _a						: Optional[Any]    =			hosts.index(UpperCamelCase__       )
  _a						: List[str]    =			"""INFO"""

  if num_nodes > 1:
    _a						: int    =			F"""python -m torch.distributed.launch \
                --nnodes={num_nodes}  \
                --node_rank={rank}  \
                --nproc_per_node={num_gpus}  \
                --master_addr={hosts[0]}  \
                --master_port={port} \
                ./run_glue.py \
                {''.join(['nested fstring' for parameter,value in args.__dict__.items()]       )}"""
  else:
    _a						: Any    =			F"""python -m torch.distributed.launch \
            --nproc_per_node={num_gpus}  \
            ./run_glue.py \
            {''.join(['nested fstring' for parameter,value in args.__dict__.items()]       )}"""
  try:
    subprocess.run(UpperCamelCase__  ,     shell=UpperCamelCase__       )
  except Exception as e:
    logger.info(UpperCamelCase__       )


if __name__ == "__main__":
 main()

