





from __future__ import annotations

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



class    _a     :






							"""simple docstring"""

							def __init__(      self				:     List[str]							,	a				:     Collection[float] | None = None    )	->None:
													if components is None:
																			SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					[]
													SCREAMING_SNAKE_CASE__     :				Dict   =					list(a    )

							def __len__(      self				:     Dict    )	->int:
													return len(self.__components    )

							def __str__(      self				:     Union[str, Any]    )	->str:
													return "(" + ",".join(map(a							,	self.__components    )    ) + ")"

							def __add__(      self				:     Optional[Any]							,	a				:     Vector    )	->Vector:
													SCREAMING_SNAKE_CASE__     :				Any   =					len(self    )
													if size == len(a    ):
																			SCREAMING_SNAKE_CASE__     :				Tuple   =					[self.__components[i] + other.component(a    ) for i in range(a    )]
																			return Vector(a    )
													else:
																			raise Exception("must have the same size"    )

							def __sub__(      self				:     Any							,	a				:     Vector    )	->Vector:
													SCREAMING_SNAKE_CASE__     :				Dict   =					len(self    )
													if size == len(a    ):
																			SCREAMING_SNAKE_CASE__     :				List[str]   =					[self.__components[i] - other.component(a    ) for i in range(a    )]
																			return Vector(a    )
													else:  # error case
																			raise Exception("must have the same size"    )

							@overload
							def __mul__(      self				:     Any							,	a				:     float    )	->Vector:
													...

							@overload
							def __mul__(      self				:     Optional[int]							,	a				:     Vector    )	->float:
													...

							def __mul__(      self				:     int							,	a				:     float | Vector    )	->float | Vector:
													if isinstance(a							,	(float, int)    ):
																			SCREAMING_SNAKE_CASE__     :				List[str]   =					[c * other for c in self.__components]
																			return Vector(a    )
													elif isinstance(a							,	a    ) and len(self    ) == len(a    ):
																			SCREAMING_SNAKE_CASE__     :				Any   =					len(self    )
																			SCREAMING_SNAKE_CASE__     :				Any   =					[self.__components[i] * other.component(a    ) for i in range(a    )]
																			return sum(a    )
													else:  # error case
																			raise Exception("invalid operand!"    )

							def      A_  (      self				:     Optional[int]    )	->Vector:
													return Vector(self.__components    )

							def      A_  (      self				:     Dict							,	a				:     int    )	->float:
													if isinstance(a							,	a    ) and -len(self.__components    ) <= i < len(self.__components    ):
																			return self.__components[i]
													else:
																			raise Exception("index out of range"    )

							def      A_  (      self				:     Union[str, Any]							,	a				:     int							,	a				:     float    )	->None:
													assert -len(self.__components    ) <= pos < len(self.__components    )
													SCREAMING_SNAKE_CASE__     :				Any   =					value

							def      A_  (      self				:     str    )	->float:
													if len(self.__components    ) == 0:
																			raise Exception("Vector is empty"    )
													SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					[c**2 for c in self.__components]
													return math.sqrt(sum(a    )    )






							def      A_  (      self				:     Dict							,	a				:     Vector							,	a				:     bool = False    )	->float:
													SCREAMING_SNAKE_CASE__     :				Dict   =					self * other
													SCREAMING_SNAKE_CASE__     :				Any   =					self.euclidean_length() * other.euclidean_length()
													if deg:
																			return math.degrees(math.acos(num / den    )    )
													else:
																			return math.acos(num / den    )







def       UpperCAmelCase							(     _lowerCamelCase      :  int     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  int			,   _lowerCamelCase      :  int     ):





						'''simple docstring'''


						assert isinstance(_lowerCamelCase			,   _lowerCamelCase     ) and (isinstance(_lowerCamelCase			,   _lowerCamelCase     ))
						SCREAMING_SNAKE_CASE__     :				str   =					[0] * dimension
						SCREAMING_SNAKE_CASE__     :				Union[str, Any]   =					1
						return Vector(_lowerCamelCase     )







def       UpperCAmelCase							(     _lowerCamelCase      :  float			,   _lowerCamelCase      :  Vector			,   _lowerCamelCase      :  Vector     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  int			,   _lowerCamelCase      :  int			,   _lowerCamelCase      :  int     ):





						'''simple docstring'''


						random.seed(_lowerCamelCase     )
						SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					[random.randint(_lowerCamelCase			,   _lowerCamelCase     ) for _ in range(_lowerCamelCase     )]
						return Vector(_lowerCamelCase     )



class    _a     :






							"""simple docstring"""

							def __init__(      self				:     Optional[Any]							,	a				:     list[list[float]]							,	a				:     int							,	a				:     int    )	->None:
													SCREAMING_SNAKE_CASE__     :				Optional[int]   =					matrix
													SCREAMING_SNAKE_CASE__     :				Dict   =					w
													SCREAMING_SNAKE_CASE__     :				int   =					h

							def __str__(      self				:     int    )	->str:
													SCREAMING_SNAKE_CASE__     :				Optional[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				:     Optional[Any]							,	a				:     Matrix    )	->Matrix:
													if self.__width == other.width() and self.__height == other.height():
																			SCREAMING_SNAKE_CASE__     :				Union[str, Any]   =					[]
																			for i in range(self.__height    ):
																									SCREAMING_SNAKE_CASE__     :				Any   =					[
																									    self.__matrix[i][j] + other.component(a							,	a    )
																									    for j in range(self.__width    )
																									]
																									matrix.append(a    )
																			return Matrix(a							,	self.__width							,	self.__height    )
													else:
																			raise Exception("matrix must have the same dimension!"    )

							def __sub__(      self				:     int							,	a				:     Matrix    )	->Matrix:
													if self.__width == other.width() and self.__height == other.height():
																			SCREAMING_SNAKE_CASE__     :				Tuple   =					[]
																			for i in range(self.__height    ):
																									SCREAMING_SNAKE_CASE__     :				List[Any]   =					[
																									    self.__matrix[i][j] - other.component(a							,	a    )
																									    for j in range(self.__width    )
																									]
																									matrix.append(a    )
																			return Matrix(a							,	self.__width							,	self.__height    )
													else:
																			raise Exception("matrices must have the same dimension!"    )

							@overload
							def __mul__(      self				:     Tuple							,	a				:     float    )	->Matrix:
													...

							@overload
							def __mul__(      self				:     int							,	a				:     Vector    )	->Vector:
													...

							def __mul__(      self				:     Dict							,	a				:     float | Vector    )	->Vector | Matrix:
													if isinstance(a							,	a    ):  # matrix-vector
																			if len(a    ) == self.__width:
																									SCREAMING_SNAKE_CASE__     :				Tuple   =					zero_vector(self.__height    )
																									for i in range(self.__height    ):
																															SCREAMING_SNAKE_CASE__     :				Optional[int]   =					[
																															    self.__matrix[i][j] * other.component(a    )
																															    for j in range(self.__width    )
																															]
																															ans.change_component(a							,	sum(a    )    )
																									return ans
																			else:
																									raise Exception(
																									    "vector must have the same size as the "
																									    "number of columns of the matrix!"    )
													elif isinstance(a							,	(int, float)    ):  # matrix-scalar
																			SCREAMING_SNAKE_CASE__     :				List[str]   =					[
																			    [self.__matrix[i][j] * other for j in range(self.__width    )]
																			    for i in range(self.__height    )
																			]
																			return Matrix(a							,	self.__width							,	self.__height    )
													return None

							def      A_  (      self				:     List[str]    )	->int:
													return self.__height

							def      A_  (      self				:     int    )	->int:
													return self.__width

							def      A_  (      self				:     str							,	a				:     int							,	a				:     int    )	->float:
													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      A_  (      self				:     Any							,	a				:     int							,	a				:     int							,	a				:     float    )	->None:
													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      A_  (      self				:     Optional[Any]							,	a				:     int							,	a				:     int    )	->float:
													if self.__height != self.__width:
																			raise Exception("Matrix is not square"    )
													SCREAMING_SNAKE_CASE__     :				Union[str, Any]   =					self.__matrix[:x] + self.__matrix[x + 1 :]
													for i in range(len(a    )    ):
																			SCREAMING_SNAKE_CASE__     :				Any   =					minor[i][:y] + minor[i][y + 1 :]
													return Matrix(a							,	self.__width - 1							,	self.__height - 1    ).determinant()

							def      A_  (      self				:     Dict							,	a				:     int							,	a				:     int    )	->float:
													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(a							,	a    )
													else:
																			raise Exception("Indices out of bounds"    )






							def      A_  (      self				:     List[str]    )	->float:
													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__     :				Dict   =					[
																			    self.__matrix[0][y] * self.cofactor(0							,	a    ) for y in range(self.__width    )
																			]
																			return sum(a    )







def       UpperCAmelCase							(     _lowerCamelCase      :  int     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  int			,   _lowerCamelCase      :  int			,   _lowerCamelCase      :  int			,   _lowerCamelCase      :  int     ):





						'''simple docstring'''


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






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__lowercase       :str       =  {
    "configuration_upernet": ["UperNetConfig"],
}

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				__lowercase       :Union[str, Any]       =  [
				    "UperNetForSemanticSegmentation",
				    "UperNetPreTrainedModel",
				]


if TYPE_CHECKING:
				from .configuration_upernet import UperNetConfig

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_upernet import UperNetForSemanticSegmentation, UperNetPreTrainedModel


else:
				import sys

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