



'''simple docstring'''

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

class __snake_case:


						'''simple docstring'''



						def __init__( self				)     ->     Optional[int]:
							lowerCAmelCase   =     {}


						def     __snake_case   ( self     ,	A_     ,	A_     ,	A_=1				)     ->     Tuple:
							if self.graph.get(A_				):
								if self.graph[u].count([w, v]				) == 0:
									self.graph[u].append([w, v]				)
							else:
								lowerCAmelCase   =     [[w, v]]
							if not self.graph.get(A_				):
								lowerCAmelCase   =     []


						def     __snake_case   ( self				)     ->     int:
							return list(self.graph				)


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


						def     __snake_case   ( self     ,	A_=-2     ,	A_=-1				)     ->     Optional[int]:
							if s == d:
								return []
							lowerCAmelCase   =     []
							lowerCAmelCase   =     []
							if s == -2:
								lowerCAmelCase   =     list(self.graph				)[0]
							stack.append(A_				)
							visited.append(A_				)
							lowerCAmelCase   =     s

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]				) != 0:
									lowerCAmelCase   =     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]				)
												lowerCAmelCase   =     node[1]
												break

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

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


						def     __snake_case   ( self     ,	A_=-1				)     ->     Dict:
							if c == -1:
								lowerCAmelCase   =     floor(random() * 1_0000				) + 10
							for i in range(A_				):
								# every vertex has max 100 edges
								for _ in range(floor(random() * 102				) + 1				):
									lowerCAmelCase   =     floor(random() * c				) + 1
									if n != i:
										self.add_pair(A_     ,	A_     ,	1				)


						def     __snake_case   ( self     ,	A_=-2				)     ->     List[str]:
							lowerCAmelCase   =     deque()
							lowerCAmelCase   =     []
							if s == -2:
								lowerCAmelCase   =     list(self.graph				)[0]
							d.append(A_				)
							visited.append(A_				)
							while d:
								lowerCAmelCase   =     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     __snake_case   ( self     ,	A_				)     ->     List[Any]:
							lowerCAmelCase   =     0
							for x in self.graph:
								for y in self.graph[x]:
									if y[1] == u:
										count += 1
							return count


						def     __snake_case   ( self     ,	A_				)     ->     str:
							return len(self.graph[u]				)


						def     __snake_case   ( self     ,	A_=-2				)     ->     List[str]:
							lowerCAmelCase   =     []
							lowerCAmelCase   =     []
							if s == -2:
								lowerCAmelCase   =     list(self.graph				)[0]
							stack.append(A_				)
							visited.append(A_				)
							lowerCAmelCase   =     s
							lowerCAmelCase   =     []

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

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

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


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

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]				) != 0:
									lowerCAmelCase   =     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
										):
											lowerCAmelCase   =     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]				)
											lowerCAmelCase   =     node[1]
											break

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

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


						def     __snake_case   ( self				)     ->     Any:
							lowerCAmelCase   =     []
							lowerCAmelCase   =     []
							lowerCAmelCase   =     list(self.graph				)[0]
							stack.append(A_				)
							visited.append(A_				)
							lowerCAmelCase   =     -2
							lowerCAmelCase   =     []
							lowerCAmelCase   =     s
							lowerCAmelCase   =     False
							lowerCAmelCase   =     set()

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]				) != 0:
									lowerCAmelCase   =     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
										):
											lowerCAmelCase   =     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]				)
											lowerCAmelCase   =     node[1]
											break

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

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


						def     __snake_case   ( self     ,	A_=-2     ,	A_=-1				)     ->     Union[str, Any]:
							lowerCAmelCase   =     time()
							self.dfs(A_     ,	A_				)
							lowerCAmelCase   =     time()
							return end - begin




						def     __snake_case   ( self     ,	A_=-2				)     ->     List[str]:
							lowerCAmelCase   =     time()
							self.bfs(A_				)
							lowerCAmelCase   =     time()
							return end - begin







class __snake_case:


						'''simple docstring'''



						def __init__( self				)     ->     Any:
							lowerCAmelCase   =     {}


						def     __snake_case   ( self     ,	A_     ,	A_     ,	A_=1				)     ->     str:
							# 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
								lowerCAmelCase   =     [[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
								lowerCAmelCase   =     [[w, u]]


						def     __snake_case   ( self     ,	A_     ,	A_				)     ->     Tuple:
							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     __snake_case   ( self     ,	A_=-2     ,	A_=-1				)     ->     Tuple:
							if s == d:
								return []
							lowerCAmelCase   =     []
							lowerCAmelCase   =     []
							if s == -2:
								lowerCAmelCase   =     list(self.graph				)[0]
							stack.append(A_				)
							visited.append(A_				)
							lowerCAmelCase   =     s

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]				) != 0:
									lowerCAmelCase   =     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]				)
												lowerCAmelCase   =     node[1]
												break

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

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


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


						def     __snake_case   ( self     ,	A_=-2				)     ->     Dict:
							lowerCAmelCase   =     deque()
							lowerCAmelCase   =     []
							if s == -2:
								lowerCAmelCase   =     list(self.graph				)[0]
							d.append(A_				)
							visited.append(A_				)
							while d:
								lowerCAmelCase   =     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     __snake_case   ( self     ,	A_				)     ->     int:
							return len(self.graph[u]				)


						def     __snake_case   ( self				)     ->     Any:
							lowerCAmelCase   =     []
							lowerCAmelCase   =     []
							lowerCAmelCase   =     list(self.graph				)[0]
							stack.append(A_				)
							visited.append(A_				)
							lowerCAmelCase   =     -2
							lowerCAmelCase   =     []
							lowerCAmelCase   =     s
							lowerCAmelCase   =     False
							lowerCAmelCase   =     set()

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]				) != 0:
									lowerCAmelCase   =     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
										):
											lowerCAmelCase   =     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]				)
											lowerCAmelCase   =     node[1]
											break

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

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


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

							while True:
								# check if there is any non isolated nodes
								if len(self.graph[s]				) != 0:
									lowerCAmelCase   =     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
										):
											lowerCAmelCase   =     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]				)
											lowerCAmelCase   =     node[1]
											break

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

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


						def     __snake_case   ( self				)     ->     List[str]:
							return list(self.graph				)


						def     __snake_case   ( self     ,	A_=-2     ,	A_=-1				)     ->     Optional[Any]:
							lowerCAmelCase   =     time()
							self.dfs(A_     ,	A_				)
							lowerCAmelCase   =     time()
							return end - begin




						def     __snake_case   ( self     ,	A_=-2				)     ->     str:
							lowerCAmelCase   =     time()
							self.bfs(A_				)
							lowerCAmelCase   =     time()
							return end - begin




'''simple docstring'''

import time
import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_torch, torch_device

from ..test_modeling_common import ids_tensor


if is_torch_available():
				import torch

				from transformers.generation import (
				    MaxLengthCriteria,
				    MaxNewTokensCriteria,
				    MaxTimeCriteria,
				    StoppingCriteriaList,
				    validate_stopping_criteria,
				)

@require_torch
class __snake_case(				unittest.TestCase ):


						'''simple docstring'''



						def     __snake_case   ( self     ,	A_				)     ->     str:
							lowerCAmelCase   =     3
							lowerCAmelCase   =     250

							lowerCAmelCase   =     ids_tensor((batch_size, length)     ,	A_				)
							lowerCAmelCase   =     torch.ones((batch_size, length)     ,	device=A_     ,	dtype=torch.float				) / length
							return input_ids, scores


						def     __snake_case   ( self				)     ->     Any:
							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(5				)

							lowerCAmelCase   =     StoppingCriteriaList(
							    [
							        MaxLengthCriteria(max_length=10				),
							        MaxTimeCriteria(max_time=0.1				),
							    ]				)

							self.assertFalse(criteria(A_     ,	A_				)				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(9				)
							self.assertFalse(criteria(A_     ,	A_				)				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(10				)
							self.assertTrue(criteria(A_     ,	A_				)				)


						def     __snake_case   ( self				)     ->     Optional[int]:
							lowerCAmelCase   =     MaxLengthCriteria(max_length=10				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(5				)
							self.assertFalse(criteria(A_     ,	A_				)				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(9				)
							self.assertFalse(criteria(A_     ,	A_				)				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(10				)
							self.assertTrue(criteria(A_     ,	A_				)				)


						def     __snake_case   ( self				)     ->     List[Any]:
							lowerCAmelCase   =     MaxNewTokensCriteria(start_length=5     ,	max_new_tokens=5				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(5				)
							self.assertFalse(criteria(A_     ,	A_				)				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(9				)
							self.assertFalse(criteria(A_     ,	A_				)				)

							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(10				)
							self.assertTrue(criteria(A_     ,	A_				)				)

							lowerCAmelCase   =     StoppingCriteriaList([criteria]				)
							self.assertEqual(criteria_list.max_length     ,	10				)


						def     __snake_case   ( self				)     ->     List[str]:
							lowerCAmelCase,       lowerCAmelCase   =     self._get_tensors(5				)

							lowerCAmelCase   =     MaxTimeCriteria(max_time=0.1				)
							self.assertFalse(criteria(A_     ,	A_				)				)

							lowerCAmelCase   =     MaxTimeCriteria(max_time=0.1     ,	initial_timestamp=time.time() - 0.2				)
							self.assertTrue(criteria(A_     ,	A_				)				)




						def     __snake_case   ( self				)     ->     Optional[int]:
							validate_stopping_criteria(StoppingCriteriaList([MaxLengthCriteria(10				)]				)     ,	10				)

							with self.assertWarns(A_				):
								validate_stopping_criteria(StoppingCriteriaList([MaxLengthCriteria(10				)]				)     ,	11				)

							lowerCAmelCase   =     validate_stopping_criteria(StoppingCriteriaList()     ,	11				)

							self.assertEqual(len(A_				)     ,	1				)