
"""simple docstring"""


import unittest

import torch
from torch import nn

from accelerate.test_utils import require_cuda
from accelerate.utils.memory import find_executable_batch_size, release_memory






def       _snake_case				(		):
	raise RuntimeError('CUDA out of memory.'     )







class 				lowerCAmelCase_				(      nn.Module    ):



						'''simple docstring'''


						def __init__( self     :      Dict      )     ->   Any:
							super().__init__()
							A						   =   nn.Linear(3  ,4      )
							A						   =   nn.BatchNormad(4      )
							A						   =   nn.Linear(4  ,5      )




						def 						_SCREAMING_SNAKE_CASE      ( self     :      List[Any]  ,A_     :      Any      )     ->   List[str]:
							return self.lineara(self.batchnorm(self.lineara(A_      )      )      )







class 				lowerCAmelCase_				(      unittest.TestCase    ):



						'''simple docstring'''


						def 						_SCREAMING_SNAKE_CASE      ( self     :      int      )     ->   List[Any]:
							A						   =   []

							@find_executable_batch_size(starting_batch_size=128      )
							def mock_training_loop_function(A_     :      Optional[int]      ):
								nonlocal batch_sizes
								batch_sizes.append(A_      )
								if batch_size != 8:
									raise_fake_out_of_memory()

							mock_training_loop_function()
							self.assertListEqual(A_  ,[128, 64, 32, 16, 8]      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Dict      )     ->   List[str]:
							A						   =   []

							@find_executable_batch_size(starting_batch_size=128      )
							def mock_training_loop_function(A_     :      int  ,A_     :      Optional[int]      ):
								nonlocal batch_sizes
								batch_sizes.append(A_      )
								if batch_size != 8:
									raise_fake_out_of_memory()
								return batch_size, arga

							A   ,      A						   =   mock_training_loop_function('hello'      )
							self.assertListEqual(A_  ,[128, 64, 32, 16, 8]      )
							self.assertListEqual([bs, arga]  ,[8, 'hello']      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[int]      )     ->   List[Any]:
							@find_executable_batch_size(starting_batch_size=0      )
							def mock_training_loop_function(A_     :      List[str]      ):
								pass

							with self.assertRaises(A_      ) as cm:
								mock_training_loop_function()
								self.assertIn('No executable batch size found, reached zero.'  ,cm.exception.args[0]      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[Any]      )     ->   Tuple:
							@find_executable_batch_size(starting_batch_size=16      )
							def mock_training_loop_function(A_     :      Tuple      ):
								if batch_size > 0:
									raise_fake_out_of_memory()
								pass

							with self.assertRaises(A_      ) as cm:
								mock_training_loop_function()
								self.assertIn('No executable batch size found, reached zero.'  ,cm.exception.args[0]      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Union[str, Any]      )     ->   List[Any]:
							@find_executable_batch_size(starting_batch_size=128      )
							def mock_training_loop_function(A_     :      Any  ,A_     :      Any  ,A_     :      str      ):
								if batch_size != 8:
									raise raise_fake_out_of_memory()

							with self.assertRaises(A_      ) as cm:
								mock_training_loop_function(128  ,'hello'  ,'world'      )
								self.assertIn('Batch size was passed into `f`'  ,cm.exception.args[0]      )
								self.assertIn('`f(arg1=\'hello\', arg2=\'world\')'  ,cm.exception.args[0]      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      List[str]      )     ->   List[Any]:
							@find_executable_batch_size(starting_batch_size=16      )
							def mock_training_loop_function(A_     :      Optional[Any]      ):
								raise ValueError('Oops, we had an error!'      )

							with self.assertRaises(A_      ) as cm:
								mock_training_loop_function()
								self.assertIn('Oops, we had an error!'  ,cm.exception.args[0]      )




						@require_cuda
						def 						_SCREAMING_SNAKE_CASE      ( self     :      Tuple      )     ->   Tuple:
							A						   =   torch.cuda.memory_allocated()
							A						   =   ModelForTest()
							model.cuda()
							self.assertGreater(torch.cuda.memory_allocated()  ,A_      )
							A						   =   release_memory(A_      )
							self.assertEqual(torch.cuda.memory_allocated()  ,A_      )

"""simple docstring"""


from collections import deque
from math import floor
from random import random
from time import time







class 				lowerCAmelCase_				:



						'''simple docstring'''


						def __init__( self     :      Dict      )     ->   int:
							A						   =   {}


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Any  ,A_     :      Union[str, Any]  ,A_     :      Any  ,A_     :      Optional[Any]=1      )     ->   int:
							if self.graph.get(A_      ):
								if self.graph[u].count([w, v]      ) == 0:
									self.graph[u].append([w, v]      )
							else:
								A						   =   [[w, v]]
							if not self.graph.get(A_      ):
								A						   =   []


						def 						_SCREAMING_SNAKE_CASE      ( self     :      List[str]      )     ->   Optional[int]:
							return list(self.graph      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Union[str, Any]  ,A_     :      Union[str, Any]  ,A_     :      Dict      )     ->   Optional[Any]:
							if self.graph.get(A_      ):
								for _ in self.graph[u]:
									if _[1] == v:
										self.graph[u].remove(A_      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Any  ,A_     :      int=-2  ,A_     :      Dict=-1      )     ->   str:
							if s == d:
								return []
							A						   =   []
							A						   =   []
							if s == -2:
								A						   =   list(self.graph      )[0]
							stack.append(A_      )
							visited.append(A_      )
							A						   =   s

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]      ) != 0:
									A						   =   s
									for node in self.graph[s]:
										if visited.count(node[1]      ) < 1:
											if node[1] == d:
												visited.append(A_      )
												return visited
											else:
												stack.append(node[1]      )
												visited.append(node[1]      )
												A						   =   node[1]
												break

            # check if all the children are visited
								if s == ss:
									stack.pop()
									if len(A_      ) != 0:
										A						   =   stack[len(A_      ) - 1]
								else:
									A						   =   ss

								# check if se have reached the starting point
								if len(A_      ) == 0:
									return visited


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[Any]  ,A_     :      Any=-1      )     ->   int:
							if c == -1:
								A						   =   floor(random() * 1_0000      ) + 10
							for i in range(A_      ):
								# every vertex has max 100 edges
								for _ in range(floor(random() * 102      ) + 1      ):
									A						   =   floor(random() * c      ) + 1
									if n != i:
										self.add_pair(A_  ,A_  ,1      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[Any]  ,A_     :      Union[str, Any]=-2      )     ->   Optional[Any]:
							A						   =   deque()
							A						   =   []
							if s == -2:
								A						   =   list(self.graph      )[0]
							d.append(A_      )
							visited.append(A_      )
							while d:
								A						   =   d.popleft()
								if len(self.graph[s]      ) != 0:
									for node in self.graph[s]:
										if visited.count(node[1]      ) < 1:
											d.append(node[1]      )
											visited.append(node[1]      )
							return visited


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Union[str, Any]  ,A_     :      Tuple      )     ->   Any:
							A						   =   0
							for x in self.graph:
								for y in self.graph[x]:
									if y[1] == u:
										count += 1
							return count


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Dict  ,A_     :      Union[str, Any]      )     ->   str:
							return len(self.graph[u]      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[int]  ,A_     :      Union[str, Any]=-2      )     ->   Any:
							A						   =   []
							A						   =   []
							if s == -2:
								A						   =   list(self.graph      )[0]
							stack.append(A_      )
							visited.append(A_      )
							A						   =   s
							A						   =   []

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]      ) != 0:
									A						   =   s
									for node in self.graph[s]:
										if visited.count(node[1]      ) < 1:
											stack.append(node[1]      )
											visited.append(node[1]      )
											A						   =   node[1]
											break

            # check if all the children are visited
								if s == ss:
									sorted_nodes.append(stack.pop()      )
									if len(A_      ) != 0:
										A						   =   stack[len(A_      ) - 1]
								else:
									A						   =   ss

								# check if se have reached the starting point
								if len(A_      ) == 0:
									return sorted_nodes


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[Any]      )     ->   Tuple:
							A						   =   []
							A						   =   []
							A						   =   list(self.graph      )[0]
							stack.append(A_      )
							visited.append(A_      )
							A						   =   -2
							A						   =   []
							A						   =   s
							A						   =   False
							A						   =   set()

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]      ) != 0:
									A						   =   s
									for node in self.graph[s]:
										if (
										    visited.count(node[1]      ) > 0
										    and node[1] != parent
										    and indirect_parents.count(node[1]      ) > 0
										    and not on_the_way_back
										):
											A						   =   len(A_      ) - 1
											while len_stack >= 0:
												if stack[len_stack] == node[1]:
													anticipating_nodes.add(node[1]      )
													break
												else:
													anticipating_nodes.add(stack[len_stack]      )
													len_stack -= 1
										if visited.count(node[1]      ) < 1:
											stack.append(node[1]      )
											visited.append(node[1]      )
											A						   =   node[1]
											break

            # check if all the children are visited
								if s == ss:
									stack.pop()
									A						   =   True
									if len(A_      ) != 0:
										A						   =   stack[len(A_      ) - 1]
								else:
									A						   =   False
									indirect_parents.append(A_      )
									A						   =   s
									A						   =   ss

								# check if se have reached the starting point
								if len(A_      ) == 0:
									return list(A_      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      int      )     ->   Optional[int]:
							A						   =   []
							A						   =   []
							A						   =   list(self.graph      )[0]
							stack.append(A_      )
							visited.append(A_      )
							A						   =   -2
							A						   =   []
							A						   =   s
							A						   =   False
							A						   =   set()

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]      ) != 0:
									A						   =   s
									for node in self.graph[s]:
										if (
										    visited.count(node[1]      ) > 0
										    and node[1] != parent
										    and indirect_parents.count(node[1]      ) > 0
										    and not on_the_way_back
										):
											A						   =   len(A_      ) - 1
											while len_stack_minus_one >= 0:
												if stack[len_stack_minus_one] == node[1]:
													anticipating_nodes.add(node[1]      )
													break
												else:
													return True
										if visited.count(node[1]      ) < 1:
											stack.append(node[1]      )
											visited.append(node[1]      )
											A						   =   node[1]
											break

            # check if all the children are visited
								if s == ss:
									stack.pop()
									A						   =   True
									if len(A_      ) != 0:
										A						   =   stack[len(A_      ) - 1]
								else:
									A						   =   False
									indirect_parents.append(A_      )
									A						   =   s
									A						   =   ss

								# check if se have reached the starting point
								if len(A_      ) == 0:
									return False


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Dict  ,A_     :      Tuple=-2  ,A_     :      List[str]=-1      )     ->   str:
							A						   =   time()
							self.dfs(A_  ,A_      )
							A						   =   time()
							return end - begin




						def 						_SCREAMING_SNAKE_CASE      ( self     :      List[str]  ,A_     :      Union[str, Any]=-2      )     ->   Dict:
							A						   =   time()
							self.bfs(A_      )
							A						   =   time()
							return end - begin







class 				lowerCAmelCase_				:



						'''simple docstring'''


						def __init__( self     :      List[Any]      )     ->   Tuple:
							A						   =   {}


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Any  ,A_     :      Optional[Any]  ,A_     :      str  ,A_     :      List[str]=1      )     ->   Dict:
							# check if the u exists
							if self.graph.get(A_      ):
								# if there already is a edge
								if self.graph[u].count([w, v]      ) == 0:
									self.graph[u].append([w, v]      )
							else:
								# if u does not exist
								A						   =   [[w, v]]
							# add the other way
							if self.graph.get(A_      ):
								# if there already is a edge
								if self.graph[v].count([w, u]      ) == 0:
									self.graph[v].append([w, u]      )
							else:
								# if u does not exist
								A						   =   [[w, u]]


						def 						_SCREAMING_SNAKE_CASE      ( self     :      List[Any]  ,A_     :      List[Any]  ,A_     :      List[str]      )     ->   List[Any]:
							if self.graph.get(A_      ):
								for _ in self.graph[u]:
									if _[1] == v:
										self.graph[u].remove(A_      )
        # the other way round
							if self.graph.get(A_      ):
								for _ in self.graph[v]:
									if _[1] == u:
										self.graph[v].remove(A_      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      List[Any]  ,A_     :      List[str]=-2  ,A_     :      List[Any]=-1      )     ->   int:
							if s == d:
								return []
							A						   =   []
							A						   =   []
							if s == -2:
								A						   =   list(self.graph      )[0]
							stack.append(A_      )
							visited.append(A_      )
							A						   =   s

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]      ) != 0:
									A						   =   s
									for node in self.graph[s]:
										if visited.count(node[1]      ) < 1:
											if node[1] == d:
												visited.append(A_      )
												return visited
											else:
												stack.append(node[1]      )
												visited.append(node[1]      )
												A						   =   node[1]
												break

            # check if all the children are visited
								if s == ss:
									stack.pop()
									if len(A_      ) != 0:
										A						   =   stack[len(A_      ) - 1]
								else:
									A						   =   ss

								# check if se have reached the starting point
								if len(A_      ) == 0:
									return visited


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Union[str, Any]  ,A_     :      Optional[int]=-1      )     ->   List[Any]:
							if c == -1:
								A						   =   floor(random() * 1_0000      ) + 10
							for i in range(A_      ):
								# every vertex has max 100 edges
								for _ in range(floor(random() * 102      ) + 1      ):
									A						   =   floor(random() * c      ) + 1
									if n != i:
										self.add_pair(A_  ,A_  ,1      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[Any]  ,A_     :      Dict=-2      )     ->   List[Any]:
							A						   =   deque()
							A						   =   []
							if s == -2:
								A						   =   list(self.graph      )[0]
							d.append(A_      )
							visited.append(A_      )
							while d:
								A						   =   d.popleft()
								if len(self.graph[s]      ) != 0:
									for node in self.graph[s]:
										if visited.count(node[1]      ) < 1:
											d.append(node[1]      )
											visited.append(node[1]      )
							return visited


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Union[str, Any]  ,A_     :      Optional[Any]      )     ->   List[Any]:
							return len(self.graph[u]      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      List[str]      )     ->   List[Any]:
							A						   =   []
							A						   =   []
							A						   =   list(self.graph      )[0]
							stack.append(A_      )
							visited.append(A_      )
							A						   =   -2
							A						   =   []
							A						   =   s
							A						   =   False
							A						   =   set()

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]      ) != 0:
									A						   =   s
									for node in self.graph[s]:
										if (
										    visited.count(node[1]      ) > 0
										    and node[1] != parent
										    and indirect_parents.count(node[1]      ) > 0
										    and not on_the_way_back
										):
											A						   =   len(A_      ) - 1
											while len_stack >= 0:
												if stack[len_stack] == node[1]:
													anticipating_nodes.add(node[1]      )
													break
												else:
													anticipating_nodes.add(stack[len_stack]      )
													len_stack -= 1
										if visited.count(node[1]      ) < 1:
											stack.append(node[1]      )
											visited.append(node[1]      )
											A						   =   node[1]
											break

            # check if all the children are visited
								if s == ss:
									stack.pop()
									A						   =   True
									if len(A_      ) != 0:
										A						   =   stack[len(A_      ) - 1]
								else:
									A						   =   False
									indirect_parents.append(A_      )
									A						   =   s
									A						   =   ss

								# check if se have reached the starting point
								if len(A_      ) == 0:
									return list(A_      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[int]      )     ->   Any:
							A						   =   []
							A						   =   []
							A						   =   list(self.graph      )[0]
							stack.append(A_      )
							visited.append(A_      )
							A						   =   -2
							A						   =   []
							A						   =   s
							A						   =   False
							A						   =   set()

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]      ) != 0:
									A						   =   s
									for node in self.graph[s]:
										if (
										    visited.count(node[1]      ) > 0
										    and node[1] != parent
										    and indirect_parents.count(node[1]      ) > 0
										    and not on_the_way_back
										):
											A						   =   len(A_      ) - 1
											while len_stack_minus_one >= 0:
												if stack[len_stack_minus_one] == node[1]:
													anticipating_nodes.add(node[1]      )
													break
												else:
													return True
										if visited.count(node[1]      ) < 1:
											stack.append(node[1]      )
											visited.append(node[1]      )
											A						   =   node[1]
											break

            # check if all the children are visited
								if s == ss:
									stack.pop()
									A						   =   True
									if len(A_      ) != 0:
										A						   =   stack[len(A_      ) - 1]
								else:
									A						   =   False
									indirect_parents.append(A_      )
									A						   =   s
									A						   =   ss

								# check if se have reached the starting point
								if len(A_      ) == 0:
									return False


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Dict      )     ->   Any:
							return list(self.graph      )


						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[int]  ,A_     :      Optional[Any]=-2  ,A_     :      List[str]=-1      )     ->   Any:
							A						   =   time()
							self.dfs(A_  ,A_      )
							A						   =   time()
							return end - begin




						def 						_SCREAMING_SNAKE_CASE      ( self     :      Optional[Any]  ,A_     :      List[Any]=-2      )     ->   Union[str, Any]:
							A						   =   time()
							self.bfs(A_      )
							A						   =   time()
							return end - begin