'''simple docstring'''





from __future__ import annotations

from typing import Any




class 		SCREAMING_SNAKE_CASE     :







				'''simple docstring'''





				def __init__(						self					:						Tuple       ,		lowercase__					:						int       ,		lowercase__					:						int       ,		lowercase__					:						float = 0					)							->None:


										'''simple docstring'''




										_UpperCamelCase			,       _UpperCamelCase			:			int   			=						row, column
										_UpperCamelCase			:			Tuple   			=						[[default_value for c in range(lowercase__					)] for r in range(lowercase__					)]





				def __str__(						self					:						Dict					)							->str:


										'''simple docstring'''




										_UpperCamelCase			:			Union[str, Any]   			=						f'''Matrix consist of {self.row} rows and {self.column} columns\n'''

										# Make string identifier
										_UpperCamelCase			:			int   			=						0
										for row_vector in self.array:
																for obj in row_vector:
																						_UpperCamelCase			:			List[Any]   			=						max(lowercase__       ,		len(str(lowercase__					)					)					)
										_UpperCamelCase			:			List[Any]   			=						f'''%{max_element_length}s'''

										# Make string and return
										def single_line(lowercase__					:						list[float]					) -> str:
																nonlocal string_format_identifier
																_UpperCamelCase			:			Optional[int]   			=						"["
																line += ", ".join(string_format_identifier % (obj,) for obj in row_vector					)
																line += "]"
																return line

										s += "\n".join(single_line(lowercase__					) for row_vector in self.array					)
										return s





				def __repr__(						self					:						str					)							->str:


										'''simple docstring'''




										return str(self					)





				def  snake_case__				(						self					:						Optional[int]       ,		lowercase__					:						tuple[int, int]					)							->bool:


										'''simple docstring'''




										if not (isinstance(lowercase__       ,		(list, tuple)					) and len(lowercase__					) == 2):
																return False
										elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
																return False
										else:
																return True





				def __getitem__(						self					:						List[str]       ,		lowercase__					:						tuple[int, int]					)							->Any:


										'''simple docstring'''




										assert self.validate_indicies(lowercase__					)
										return self.array[loc[0]][loc[1]]





				def __setitem__(						self					:						Any       ,		lowercase__					:						tuple[int, int]       ,		lowercase__					:						float					)							->None:


										'''simple docstring'''




										assert self.validate_indicies(lowercase__					)
										_UpperCamelCase			:			int   			=						value





				def __add__(						self					:						Optional[Any]       ,		lowercase__					:						Matrix					)							->Matrix:


										'''simple docstring'''




										assert isinstance(lowercase__       ,		lowercase__					)
										assert self.row == another.row and self.column == another.column

										# Add
										_UpperCamelCase			:			int   			=						Matrix(self.row       ,		self.column					)
										for r in range(self.row					):
																for c in range(self.column					):
																						_UpperCamelCase			:			Any   			=						self[r, c] + another[r, c]
										return result





				def __neg__(						self					:						Tuple					)							->Matrix:


										'''simple docstring'''




										_UpperCamelCase			:			List[Any]   			=						Matrix(self.row       ,		self.column					)
										for r in range(self.row					):
																for c in range(self.column					):
																						_UpperCamelCase			:			Optional[int]   			=						-self[r, c]
										return result





				def __sub__(						self					:						Tuple       ,		lowercase__					:						Matrix					)							->Matrix:


										'''simple docstring'''




										return self + (-another)





				def __mul__(						self					:						str       ,		lowercase__					:						int | float | Matrix					)							->Matrix:


										'''simple docstring'''




										if isinstance(lowercase__       ,		(int, float)					):  # Scalar multiplication
																_UpperCamelCase			:			Tuple   			=						Matrix(self.row       ,		self.column					)
																for r in range(self.row					):
																						for c in range(self.column					):
																												_UpperCamelCase			:			Any   			=						self[r, c] * another
																return result
										elif isinstance(lowercase__       ,		lowercase__					):  # Matrix multiplication
																assert self.column == another.row
																_UpperCamelCase			:			Optional[Any]   			=						Matrix(self.row       ,		another.column					)
																for r in range(self.row					):
																						for c in range(another.column					):
																												for i in range(self.column					):
																																		result[r, c] += self[r, i] * another[i, c]
																return result
										else:
																_UpperCamelCase			:			Optional[int]   			=						f'''Unsupported type given for another ({type(lowercase__					)})'''
																raise TypeError(lowercase__					)





				def  snake_case__				(						self					:						str					)							->Matrix:


										'''simple docstring'''




										_UpperCamelCase			:			Optional[Any]   			=						Matrix(self.column       ,		self.row					)
										for r in range(self.row					):
																for c in range(self.column					):
																						_UpperCamelCase			:			str   			=						self[r, c]
										return result







				def  snake_case__				(						self					:						Dict       ,		lowercase__					:						Matrix       ,		lowercase__					:						Matrix					)							->Any:


										'''simple docstring'''




										assert isinstance(lowercase__       ,		lowercase__					) and isinstance(lowercase__       ,		lowercase__					)
										assert self.row == self.column == u.row == v.row  # u, v should be column vector
										assert u.column == v.column == 1  # u, v should be column vector

										# Calculate
										_UpperCamelCase			:			Any   			=						v.transpose()
										_UpperCamelCase			:			Union[str, Any]   			=						(v_t * self * u)[0, 0] + 1
										if numerator_factor == 0:
																return None  # It's not invertable
										return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":
			def 						__A							(     )     ->			None:




									'''simple docstring'''
									# a^(-1)
									_UpperCamelCase			:			Union[str, Any]   			=						Matrix(3     ,3     ,0					)
									for i in range(3					):
															_UpperCamelCase			:			Optional[int]   			=						1
									print(f'''a^(-1) is {ainv}'''					)
									# u, v
									_UpperCamelCase			:			Optional[int]   			=						Matrix(3     ,1     ,0					)
									_UpperCamelCase			,       _UpperCamelCase			,       _UpperCamelCase			:			List[Any]   			=						1, 2, -3
									_UpperCamelCase			:			Dict   			=						Matrix(3     ,1     ,0					)
									_UpperCamelCase			,       _UpperCamelCase			,       _UpperCamelCase			:			Dict   			=						4, -2, 5
									print(f'''u is {u}'''					)
									print(f'''v is {v}'''					)
									print(f'''uv^T is {u * v.transpose()}'''					)
									# Sherman Morrison
									print(f'''(a + uv^T)^(-1) is {ainv.sherman_morrison(UpperCAmelCase     ,UpperCAmelCase					)}'''					)
			def 						__A							(     )     ->			None:




									'''simple docstring'''
									import doctest

									doctest.testmod()






			testa()



'''simple docstring'''





from collections import OrderedDict
from typing import Mapping

from packaging import version

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


lowerCAmelCase_	:		Union[str, Any]			=     logging.get_logger(__name__)

lowerCAmelCase_	:		List[str]			=     {
    """hustvl/yolos-small""": """https://huggingface.co/hustvl/yolos-small/resolve/main/config.json""",
    # See all YOLOS models at https://huggingface.co/models?filter=yolos
}




class 		SCREAMING_SNAKE_CASE     (					SCREAMING_SNAKE_CASE	):







				'''simple docstring'''
				UpperCAmelCase__							=							'''yolos'''





				def __init__(						self					:						int       ,		lowercase__					:						List[str]=768       ,		lowercase__					:						Optional[Any]=12       ,		lowercase__					:						Union[str, Any]=12       ,		lowercase__					:						Any=3_072       ,		lowercase__					:						List[Any]="gelu"       ,		lowercase__					:						Dict=0.0       ,		lowercase__					:						Any=0.0       ,		lowercase__					:						Dict=0.0_2       ,		lowercase__					:						Tuple=1e-12       ,		lowercase__					:						str=[512, 864]       ,		lowercase__					:						Dict=16       ,		lowercase__					:						int=3       ,		lowercase__					:						Optional[Any]=True       ,		lowercase__					:						List[Any]=100       ,		lowercase__					:						str=True       ,		lowercase__					:						str=False       ,		lowercase__					:						List[str]=1       ,		lowercase__					:						Dict=5       ,		lowercase__					:						str=2       ,		lowercase__					:						Optional[int]=5       ,		lowercase__					:						Optional[int]=2       ,		lowercase__					:						Optional[Any]=0.1       ,		**lowercase__					:						Union[str, Any]       ,		)							->Tuple:


										'''simple docstring'''




										super().__init__(**lowercase__					)

										_UpperCamelCase			:			Optional[int]   			=						hidden_size
										_UpperCamelCase			:			str   			=						num_hidden_layers
										_UpperCamelCase			:			Optional[Any]   			=						num_attention_heads
										_UpperCamelCase			:			Optional[int]   			=						intermediate_size
										_UpperCamelCase			:			Union[str, Any]   			=						hidden_act
										_UpperCamelCase			:			Tuple   			=						hidden_dropout_prob
										_UpperCamelCase			:			Any   			=						attention_probs_dropout_prob
										_UpperCamelCase			:			Optional[int]   			=						initializer_range
										_UpperCamelCase			:			str   			=						layer_norm_eps
										_UpperCamelCase			:			Optional[int]   			=						image_size
										_UpperCamelCase			:			int   			=						patch_size
										_UpperCamelCase			:			Dict   			=						num_channels
										_UpperCamelCase			:			List[str]   			=						qkv_bias
										_UpperCamelCase			:			Dict   			=						num_detection_tokens
										_UpperCamelCase			:			int   			=						use_mid_position_embeddings
										_UpperCamelCase			:			int   			=						auxiliary_loss
										# Hungarian matcher
										_UpperCamelCase			:			Tuple   			=						class_cost
										_UpperCamelCase			:			str   			=						bbox_cost
										_UpperCamelCase			:			str   			=						giou_cost
										# Loss coefficients
										_UpperCamelCase			:			List[str]   			=						bbox_loss_coefficient
										_UpperCamelCase			:			str   			=						giou_loss_coefficient
										_UpperCamelCase			:			str   			=						eos_coefficient





class 		SCREAMING_SNAKE_CASE     (					SCREAMING_SNAKE_CASE	):







				'''simple docstring'''
				UpperCAmelCase__							=							version.parse('''1.11'''	)





				@property
				def  snake_case__				(						self					:						Union[str, Any]					)							->Mapping[str, Mapping[int, str]]:


										'''simple docstring'''




										return OrderedDict(
										    [
										        ("pixel_values", {0: "batch", 1: "num_channels", 2: "height", 3: "width"}),
										    ]					)





				@property
				def  snake_case__				(						self					:						Any					)							->float:


										'''simple docstring'''




										return 1e-4







				@property
				def  snake_case__				(						self					:						List[str]					)							->int:


										'''simple docstring'''




										return 12


