





from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload





class 				a			:






				def __init__(  self			, _lowerCAmelCase = None					):

										"""simple docstring"""




										if components is None:
																__SCREAMING_SNAKE_CASE:				str           =   []
										__SCREAMING_SNAKE_CASE:				Union[str, Any]           =   list(_lowerCAmelCase					)






				def __len__(  self					):

										"""simple docstring"""




										return len(self.__components					)






				def __str__(  self					):

										"""simple docstring"""




										return "(" + ",".join(map(_lowerCAmelCase			, self.__components					)					) + ")"






				def __add__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										__SCREAMING_SNAKE_CASE:				Union[str, Any]           =   len(self					)
										if size == len(_lowerCAmelCase					):
																__SCREAMING_SNAKE_CASE:				Tuple           =   [self.__components[i] + other.component(_lowerCAmelCase					) for i in range(_lowerCAmelCase					)]
																return Vector(_lowerCAmelCase					)
										else:
																raise Exception('''must have the same size'''					)






				def __sub__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										__SCREAMING_SNAKE_CASE:				str           =   len(self					)
										if size == len(_lowerCAmelCase					):
																__SCREAMING_SNAKE_CASE:				Dict           =   [self.__components[i] - other.component(_lowerCAmelCase					) for i in range(_lowerCAmelCase					)]
																return Vector(_lowerCAmelCase					)
										else:  # error case
																raise Exception('''must have the same size'''					)






				@overload
				def __mul__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										...






				@overload
				def __mul__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										...






				def __mul__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										if isinstance(_lowerCAmelCase			, (float, int)					):
																__SCREAMING_SNAKE_CASE:				List[str]           =   [c * other for c in self.__components]
																return Vector(_lowerCAmelCase					)
										elif isinstance(_lowerCAmelCase			, _lowerCAmelCase					) and len(self					) == len(_lowerCAmelCase					):
																__SCREAMING_SNAKE_CASE:				int           =   len(self					)
																__SCREAMING_SNAKE_CASE:				int           =   [self.__components[i] * other.component(_lowerCAmelCase					) for i in range(_lowerCAmelCase					)]
																return sum(_lowerCAmelCase					)
										else:  # error case
																raise Exception('''invalid operand!'''					)






				def 			snake_case_    (  self					):

										"""simple docstring"""




										return Vector(self.__components					)






				def 			snake_case_    (  self			, _lowerCAmelCase					):

										"""simple docstring"""




										if isinstance(_lowerCAmelCase			, _lowerCAmelCase					) and -len(self.__components					) <= i < len(self.__components					):
																return self.__components[i]
										else:
																raise Exception('''index out of range'''					)






				def 			snake_case_    (  self			, _lowerCAmelCase			, _lowerCAmelCase					):

										"""simple docstring"""




										assert -len(self.__components					) <= pos < len(self.__components					)
										__SCREAMING_SNAKE_CASE:				Optional[int]           =   value






				def 			snake_case_    (  self					):

										"""simple docstring"""




										if len(self.__components					) == 0:
																raise Exception('''Vector is empty'''					)
										__SCREAMING_SNAKE_CASE:				Dict           =   [c**2 for c in self.__components]
										return math.sqrt(sum(_lowerCAmelCase					)					)






				def 			snake_case_    (  self			, _lowerCAmelCase			, _lowerCAmelCase = False					):

										"""simple docstring"""




										__SCREAMING_SNAKE_CASE:				Optional[Any]           =   self * other
										__SCREAMING_SNAKE_CASE:				List[Any]           =   self.euclidean_length() * other.euclidean_length()
										if deg:
																return math.degrees(math.acos(num / den					)					)
										else:
																return math.acos(num / den					)






def 		lowerCAmelCase  (	UpperCamelCase__   :   int					)      ->    Vector:

						"""simple docstring"""





						assert isinstance(UpperCamelCase__       ,			UpperCamelCase__					)
						return Vector([0] * dimension					)






def 		lowerCAmelCase  (	UpperCamelCase__   :   int       ,			UpperCamelCase__   :   int					)      ->    Vector:

						"""simple docstring"""





						assert isinstance(UpperCamelCase__       ,			UpperCamelCase__					) and (isinstance(UpperCamelCase__       ,			UpperCamelCase__					))
						__SCREAMING_SNAKE_CASE:				int           =   [0] * dimension
						__SCREAMING_SNAKE_CASE:				List[str]           =   1
						return Vector(UpperCamelCase__					)






def 		lowerCAmelCase  (	UpperCamelCase__   :   float       ,			UpperCamelCase__   :   Vector       ,			UpperCamelCase__   :   Vector					)      ->    Vector:

						"""simple docstring"""





						assert (
						    isinstance(UpperCamelCase__       ,			UpperCamelCase__					)
						    and isinstance(UpperCamelCase__       ,			UpperCamelCase__					)
						    and (isinstance(UpperCamelCase__       ,			(int, float)					))
						)
						return x * scalar + y






def 		lowerCAmelCase  (	UpperCamelCase__   :   int       ,			UpperCamelCase__   :   int       ,			UpperCamelCase__   :   int					)      ->    Vector:

						"""simple docstring"""





						random.seed(UpperCamelCase__					)
						__SCREAMING_SNAKE_CASE:				List[str]           =   [random.randint(UpperCamelCase__       ,			UpperCamelCase__					) for _ in range(UpperCamelCase__					)]
						return Vector(UpperCamelCase__					)





class 				a			:






				def __init__(  self			, _lowerCAmelCase			, _lowerCAmelCase			, _lowerCAmelCase					):

										"""simple docstring"""




										__SCREAMING_SNAKE_CASE:				Tuple           =   matrix
										__SCREAMING_SNAKE_CASE:				List[Any]           =   w
										__SCREAMING_SNAKE_CASE:				List[Any]           =   h






				def __str__(  self					):

										"""simple docstring"""




										__SCREAMING_SNAKE_CASE:				int           =   ''''''
										for i in range(self.__height					):
																ans += "|"
																for j in range(self.__width					):
																						if j < self.__width - 1:
																												ans += str(self.__matrix[i][j]					) + ","
																						else:
																												ans += str(self.__matrix[i][j]					) + "|\n"
										return ans






				def __add__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										if self.__width == other.width() and self.__height == other.height():
																__SCREAMING_SNAKE_CASE:				str           =   []
																for i in range(self.__height					):
																						__SCREAMING_SNAKE_CASE:				List[Any]           =   [
																						    self.__matrix[i][j] + other.component(_lowerCAmelCase			, _lowerCAmelCase					)
																						    for j in range(self.__width					)
																						]
																						matrix.append(_lowerCAmelCase					)
																return Matrix(_lowerCAmelCase			, self.__width			, self.__height					)
										else:
																raise Exception('''matrix must have the same dimension!'''					)






				def __sub__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										if self.__width == other.width() and self.__height == other.height():
																__SCREAMING_SNAKE_CASE:				List[Any]           =   []
																for i in range(self.__height					):
																						__SCREAMING_SNAKE_CASE:				Any           =   [
																						    self.__matrix[i][j] - other.component(_lowerCAmelCase			, _lowerCAmelCase					)
																						    for j in range(self.__width					)
																						]
																						matrix.append(_lowerCAmelCase					)
																return Matrix(_lowerCAmelCase			, self.__width			, self.__height					)
										else:
																raise Exception('''matrices must have the same dimension!'''					)






				@overload
				def __mul__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										...






				@overload
				def __mul__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										...






				def __mul__(  self			, _lowerCAmelCase					):

										"""simple docstring"""




										if isinstance(_lowerCAmelCase			, _lowerCAmelCase					):  # matrix-vector
																if len(_lowerCAmelCase					) == self.__width:
																						__SCREAMING_SNAKE_CASE:				Union[str, Any]           =   zero_vector(self.__height					)
																						for i in range(self.__height					):
																												__SCREAMING_SNAKE_CASE:				List[Any]           =   [
																												    self.__matrix[i][j] * other.component(_lowerCAmelCase					)
																												    for j in range(self.__width					)
																												]
																												ans.change_component(_lowerCAmelCase			, sum(_lowerCAmelCase					)					)
																						return ans
																else:
																						raise Exception(
																						    '''vector must have the same size as the '''
																						    '''number of columns of the matrix!'''					)
										elif isinstance(_lowerCAmelCase			, (int, float)					):  # matrix-scalar
																__SCREAMING_SNAKE_CASE:				Tuple           =   [
																    [self.__matrix[i][j] * other for j in range(self.__width					)]
																    for i in range(self.__height					)
																]
																return Matrix(_lowerCAmelCase			, self.__width			, self.__height					)
										return None






				def 			snake_case_    (  self					):

										"""simple docstring"""




										return self.__height






				def 			snake_case_    (  self					):

										"""simple docstring"""




										return self.__width






				def 			snake_case_    (  self			, _lowerCAmelCase			, _lowerCAmelCase					):

										"""simple docstring"""




										if 0 <= x < self.__height and 0 <= y < self.__width:
																return self.__matrix[x][y]
										else:
																raise Exception('''change_component: indices out of bounds'''					)






				def 			snake_case_    (  self			, _lowerCAmelCase			, _lowerCAmelCase			, _lowerCAmelCase					):

										"""simple docstring"""




										if 0 <= x < self.__height and 0 <= y < self.__width:
																__SCREAMING_SNAKE_CASE:				Dict           =   value
										else:
																raise Exception('''change_component: indices out of bounds'''					)






				def 			snake_case_    (  self			, _lowerCAmelCase			, _lowerCAmelCase					):

										"""simple docstring"""




										if self.__height != self.__width:
																raise Exception('''Matrix is not square'''					)
										__SCREAMING_SNAKE_CASE:				Tuple           =   self.__matrix[:x] + self.__matrix[x + 1 :]
										for i in range(len(_lowerCAmelCase					)					):
																__SCREAMING_SNAKE_CASE:				Tuple           =   minor[i][:y] + minor[i][y + 1 :]
										return Matrix(_lowerCAmelCase			, self.__width - 1			, self.__height - 1					).determinant()






				def 			snake_case_    (  self			, _lowerCAmelCase			, _lowerCAmelCase					):

										"""simple docstring"""




										if self.__height != self.__width:
																raise Exception('''Matrix is not square'''					)
										if 0 <= x < self.__height and 0 <= y < self.__width:
																return (-1) ** (x + y) * self.minor(_lowerCAmelCase			, _lowerCAmelCase					)
										else:
																raise Exception('''Indices out of bounds'''					)






				def 			snake_case_    (  self					):

										"""simple docstring"""




										if self.__height != self.__width:
																raise Exception('''Matrix is not square'''					)
										if self.__height < 1:
																raise Exception('''Matrix has no element'''					)
										elif self.__height == 1:
																return self.__matrix[0][0]
										elif self.__height == 2:
																return (
																    self.__matrix[0][0] * self.__matrix[1][1]
																    - self.__matrix[0][1] * self.__matrix[1][0]
																)
										else:
																__SCREAMING_SNAKE_CASE:				str           =   [
																    self.__matrix[0][y] * self.cofactor(0			, _lowerCAmelCase					) for y in range(self.__width					)
																]
																return sum(_lowerCAmelCase					)






def 		lowerCAmelCase  (	UpperCamelCase__   :   int					)      ->    Matrix:

						"""simple docstring"""





						__SCREAMING_SNAKE_CASE:				list[list[float]]           =   [[0] * n for _ in range(UpperCamelCase__					)]
						return Matrix(UpperCamelCase__       ,			UpperCamelCase__       ,			UpperCamelCase__					)






def 		lowerCAmelCase  (	UpperCamelCase__   :   int       ,			UpperCamelCase__   :   int       ,			UpperCamelCase__   :   int       ,			UpperCamelCase__   :   int					)      ->    Matrix:

						"""simple docstring"""





						random.seed(UpperCamelCase__					)
						__SCREAMING_SNAKE_CASE:				list[list[float]]           =   [
						    [random.randint(UpperCamelCase__       ,			UpperCamelCase__					) for _ in range(UpperCamelCase__					)] for _ in range(UpperCamelCase__					)
						]
						return Matrix(UpperCamelCase__       ,			UpperCamelCase__       ,			UpperCamelCase__					)










from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


lowerCAmelCase							:       List[str]					 =	{
    """configuration_gpt_bigcode""": ["""GPT_BIGCODE_PRETRAINED_CONFIG_ARCHIVE_MAP""", """GPTBigCodeConfig"""],
}

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							lowerCAmelCase							:       str					 =	[
							    """GPT_BIGCODE_PRETRAINED_MODEL_ARCHIVE_LIST""",
							    """GPTBigCodeForSequenceClassification""",
							    """GPTBigCodeForTokenClassification""",
							    """GPTBigCodeForCausalLM""",
							    """GPTBigCodeModel""",
							    """GPTBigCodePreTrainedModel""",
							]

if TYPE_CHECKING:
							from .configuration_gpt_bigcode import GPT_BIGCODE_PRETRAINED_CONFIG_ARCHIVE_MAP, GPTBigCodeConfig

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_gpt_bigcode import (
														    GPT_BIGCODE_PRETRAINED_MODEL_ARCHIVE_LIST,
														    GPTBigCodeForCausalLM,
														    GPTBigCodeForSequenceClassification,
														    GPTBigCodeForTokenClassification,
														    GPTBigCodeModel,
														    GPTBigCodePreTrainedModel,
														)


else:
							import sys

							lowerCAmelCase							:       List[str]					 =	_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)



