



"""simple docstring"""
import math
import sys
class 							lowerCamelCase    :






					'''simple docstring'''





					def __init__(			self:				Dict		)  ->      str:
											snake_case_					:Optional[Any]		=     0
											snake_case_					:Dict		=     []
											snake_case_					:List[Any]		=     {}  # To store the pos of node in array






					def   lowerCAmelCase_							(			self:				Union[str, Any]		)  ->      Union[str, Any]:
											return self.cur_size == 0






					def   lowerCAmelCase_							(			self:				Optional[Any]		,	snake_case:				Optional[Any]		)  ->      str:
											snake_case_					:Optional[int]		=     self.left(snake_case		)
											snake_case_					:List[str]		=     self.right(snake_case		)
											if lc < self.cur_size and self.array(snake_case		)[0] < self.array(snake_case		)[0]:
																	snake_case_					:Any		=     lc
											else:
																	snake_case_					:List[str]		=     idx
											if rc < self.cur_size and self.array(snake_case		)[0] < self.array(snake_case		)[0]:
																	snake_case_					:Any		=     rc
											if smallest != idx:
																	self.swap(snake_case		,	snake_case		)
																	self.min_heapify(snake_case		)






					def   lowerCAmelCase_							(			self:				Any		,	snake_case:				int		)  ->      Tuple:
											# Inserts a node into the Priority Queue
											snake_case_					:List[Any]		=     self.cur_size
											self.cur_size += 1
											self.array.append((sys.maxsize, tup[1])		)
											self.decrease_key((sys.maxsize, tup[1])		,	tup[0]		)






					def   lowerCAmelCase_							(			self:				List[str]		)  ->      Any:
											# Removes and returns the min element at top of priority queue
											snake_case_					:int		=     self.array[0][1]
											snake_case_					:str		=     self.array[self.cur_size - 1]
											self.cur_size -= 1
											self.min_heapify(1		)
											del self.pos[min_node]
											return min_node






					def   lowerCAmelCase_							(			self:				Any		,	snake_case:				str		)  ->      Union[str, Any]:
											# returns the index of left child
											return 2 * i + 1






					def   lowerCAmelCase_							(			self:				Tuple		,	snake_case:				Union[str, Any]		)  ->      str:
											# returns the index of right child
											return 2 * i + 2






					def   lowerCAmelCase_							(			self:				Tuple		,	snake_case:				List[Any]		)  ->      Tuple:
											# returns the index of parent
											return math.floor(i / 2		)






					def   lowerCAmelCase_							(			self:				Tuple		,	snake_case:				List[Any]		,	snake_case:				Optional[Any]		)  ->      Any:
											# swaps array elements at indices i and j
											# update the pos{}
											snake_case_					:List[str]		=     j
											snake_case_					:Optional[int]		=     i
											snake_case_					:Optional[int]		=     self.array[i]
											snake_case_					:int		=     self.array[j]
											snake_case_					:Optional[int]		=     temp






					def   lowerCAmelCase_							(			self:				int		,	snake_case:				Tuple		,	snake_case:				Tuple		)  ->      List[Any]:
											snake_case_					:Optional[Any]		=     self.pos[tup[1]]
											# assuming the new_d is atmost old_d
											snake_case_					:List[Any]		=     (new_d, tup[1])
											while idx > 0 and self.array[self.par(snake_case		)][0] > self.array[idx][0]:
																	self.swap(snake_case		,	self.par(snake_case		)		)
																	snake_case_					:List[Any]		=     self.par(snake_case		)

class 							lowerCamelCase    :






					'''simple docstring'''





					def __init__(			self:				int		,	snake_case:				str		)  ->      List[Any]:
											snake_case_					:Optional[int]		=     {}  # To store graph: u -> (v,w)
											snake_case_					:Any		=     num  # Number of nodes in graph
											# To store the distance from source vertex
											snake_case_					:List[str]		=     [0] * self.num_nodes
											snake_case_					:Dict		=     [-1] * self.num_nodes  # To store the path






					def   lowerCAmelCase_							(			self:				Union[str, Any]		,	snake_case:				List[Any]		,	snake_case:				Dict		,	snake_case:				Any		)  ->      str:
											#  Edge going from node u to v and v to u with weight w
											# u (w)-> v, v (w) -> u
											# Check if u already in graph
											if u in self.adjList:
																	self.adjList[u].append((v, w)		)
											else:
																	snake_case_					:int		=     [(v, w)]

											# Assuming undirected graph
											if v in self.adjList:
																	self.adjList[v].append((u, w)		)
											else:
																	snake_case_					:Any		=     [(u, w)]






					def   lowerCAmelCase_							(			self:				Union[str, Any]		)  ->      List[Any]:
											# u -> v(w)
											for u in self.adjList:
																	print(snake_case		,	"""->"""		,	""" -> """.join(str(f"""{v}({w})"""		) for v, w in self.adjList[u]		)		)






					def   lowerCAmelCase_							(			self:				Any		,	snake_case:				str		)  ->      Optional[int]:
											# Flush old junk values in par[]
											snake_case_					:List[str]		=     [-1] * self.num_nodes
											# src is the source node
											snake_case_					:List[Any]		=     0
											snake_case_					:int		=     PriorityQueue()
											q.insert((0, src)		)  # (dist from src, node)
											for u in self.adjList:
																	if u != src:
																							snake_case_					:int		=     sys.maxsize  # Infinity
																							snake_case_					:List[Any]		=     -1

											while not q.is_empty():
																	snake_case_					:str		=     q.extract_min()  # Returns node with the min dist from source
																	# Update the distance of all the neighbours of u and
																	# if their prev dist was INFINITY then push them in Q
																	for v, w in self.adjList[u]:
																							snake_case_					:List[str]		=     self.dist[u] + w
																							if self.dist[v] > new_dist:
																													if self.dist[v] == sys.maxsize:
																																			q.insert((new_dist, v)		)
																													else:
																																			q.decrease_key((self.dist[v], v)		,	snake_case		)
																													snake_case_					:Any		=     new_dist
																													snake_case_					:Union[str, Any]		=     u

        # Show the shortest distances from src
											self.show_distances(snake_case		)






					def   lowerCAmelCase_							(			self:				str		,	snake_case:				str		)  ->      Tuple:
											print(f"""Distance from node: {src}"""		)
											for u in range(self.num_nodes		):
																	print(f"""Node {u} has distance: {self.dist[u]}"""		)






					def   lowerCAmelCase_							(			self:				Optional[Any]		,	snake_case:				Union[str, Any]		,	snake_case:				str		)  ->      Any:
											# To show the shortest path from src to dest
											# WARNING: Use it *after* calling dijkstra
											snake_case_					:List[str]		=     []
											snake_case_					:Optional[int]		=     0
											snake_case_					:Dict		=     dest
											# Backtracking from dest to src
											while self.par[temp] != -1:
																	path.append(snake_case		)
																	if temp != src:
																							for v, w in self.adjList[temp]:
																													if v == self.par[temp]:
																																			cost += w
																																			break
																	snake_case_					:int		=     self.par[temp]
											path.append(snake_case		)
											path.reverse()

											print(f"""----Path to reach {dest} from {src}----"""		)
											for u in path:
																	print(f"""{u}"""		,	end=""" """		)
																	if u != dest:
																							print("""-> """		,	end=""""""		)

											print("""\nTotal cost of path: """		,	snake_case		)


if __name__ == "__main__":
						__a           =							Graph(9)
						graph.add_edge(0, 1, 4)
						graph.add_edge(0, 7, 8)
						graph.add_edge(1, 2, 8)
						graph.add_edge(1, 7, 11)
						graph.add_edge(2, 3, 7)
						graph.add_edge(2, 8, 2)
						graph.add_edge(2, 5, 4)
						graph.add_edge(3, 4, 9)
						graph.add_edge(3, 5, 14)
						graph.add_edge(4, 5, 10)
						graph.add_edge(5, 6, 2)
						graph.add_edge(6, 7, 1)
						graph.add_edge(6, 8, 6)
						graph.add_edge(7, 8, 7)
						graph.show_graph()
						graph.dijkstra(0)
						graph.show_path(0, 4)

# OUTPUT
# 0 -> 1(4) -> 7(8)
# 1 -> 0(4) -> 2(8) -> 7(11)
# 7 -> 0(8) -> 1(11) -> 6(1) -> 8(7)
# 2 -> 1(8) -> 3(7) -> 8(2) -> 5(4)
# 3 -> 2(7) -> 4(9) -> 5(14)
# 8 -> 2(2) -> 6(6) -> 7(7)
# 5 -> 2(4) -> 3(14) -> 4(10) -> 6(2)
# 4 -> 3(9) -> 5(10)
# 6 -> 5(2) -> 7(1) -> 8(6)
# Distance from node: 0
# Node 0 has distance: 0
# Node 1 has distance: 4
# Node 2 has distance: 12
# Node 3 has distance: 19
# Node 4 has distance: 21
# Node 5 has distance: 11
# Node 6 has distance: 9
# Node 7 has distance: 8
# Node 8 has distance: 14
# ----Path to reach 4 from 0----
# 0 -> 7 -> 6 -> 5 -> 4
# Total cost of path:  21




import random
import unittest

import torch

from diffusers import IFImgaImgPipeline
from diffusers.utils import floats_tensor
from diffusers.utils.import_utils import is_xformers_available
from diffusers.utils.testing_utils import skip_mps, torch_device

from ..pipeline_params import (
    TEXT_GUIDED_IMAGE_VARIATION_BATCH_PARAMS,
    TEXT_GUIDED_IMAGE_VARIATION_PARAMS,
)
from ..test_pipelines_common import PipelineTesterMixin
from . import IFPipelineTesterMixin







@skip_mps
class lowerCAmelCase_		(					lowerCamelCase__   ,		lowerCamelCase__   ,		unittest.TestCase			):

 '''simple docstring'''

 __snake_case				=    IFImgaImgPipeline
 __snake_case				=    TEXT_GUIDED_IMAGE_VARIATION_PARAMS - {"width", "height"}
 __snake_case				=    TEXT_GUIDED_IMAGE_VARIATION_BATCH_PARAMS
 __snake_case				=    PipelineTesterMixin.required_optional_params - {"latents"}



 def 		UpperCamelCase__	(      self   ):
       return self._get_dummy_components()



 def 		UpperCamelCase__	(      self						, _UpperCAmelCase						, _UpperCAmelCase=0   ):
       if str(_UpperCAmelCase   ).startswith('''mps'''   ):
             snake_case_			= torch.manual_seed(_UpperCAmelCase   )
       else:
             snake_case_			= torch.Generator(device=_UpperCAmelCase   ).manual_seed(_UpperCAmelCase   )

       snake_case_			= floats_tensor((1, 3, 32, 32)						, rng=random.Random(_UpperCAmelCase   )   ).to(_UpperCAmelCase   )

       snake_case_			= {
           '''prompt''': '''A painting of a squirrel eating a burger''',
           '''image''': image,
           '''generator''': generator,
           '''num_inference_steps''': 2,
           '''output_type''': '''numpy''',
       }

       return inputs



 def 		UpperCamelCase__	(      self   ):
       self._test_save_load_optional_components()



 @unittest.skipIf(
     torch_device != '''cuda''' or not is_xformers_available()						, reason='''XFormers attention is only available with CUDA and `xformers` installed'''						, )
 def 		UpperCamelCase__	(      self   ):
       self._test_xformers_attention_forwardGenerator_pass(expected_max_diff=1E-3   )



 @unittest.skipIf(torch_device != '''cuda'''						, reason='''float16 requires CUDA'''   )
 def 		UpperCamelCase__	(      self   ):
       # Due to non-determinism in save load of the hf-internal-testing/tiny-random-t5 text encoder
       super().test_save_load_floataa(expected_max_diff=1E-1   )



 @unittest.skipIf(torch_device != '''cuda'''						, reason='''float16 requires CUDA'''   )
 def 		UpperCamelCase__	(      self   ):
       super().test_floataa_inference(expected_max_diff=1E-1   )



 def 		UpperCamelCase__	(      self   ):
       self._test_attention_slicing_forward_pass(expected_max_diff=1E-2   )



 def 		UpperCamelCase__	(      self   ):
       self._test_save_load_local()





 def 		UpperCamelCase__	(      self   ):
       self._test_inference_batch_single_identical(
           expected_max_diff=1E-2						, )