


from math import factorial



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		int:

    # If either of the conditions are true, the function is being asked
    # to calculate a factorial of a negative number, which is not possible
    if n < k or k < 0:
        raise ValueError('Please enter positive integers for n and k where n >= k'				)
    return factorial(lowerCamelCase_				) // (factorial(lowerCamelCase_				) * factorial(n - k				))


if __name__ == "__main__":
 print(
     "The number of five-card hands possible from a standard",
     F"fifty-two card deck is: {combinations(52, 5)}\n",
 )

 print(
     "If a class of 40 students must be arranged into groups of",
     F"4 for group projects, there are {combinations(40, 4)} ways",
     "to arrange them.\n",
 )

 print(
     "If 10 teams are competing in a Formula One race, there",
     F"are {combinations(10, 3)} ways that first, second and",
     "third place can be awarded.",
 )






import unittest

from diffusers.models.unet_ad_blocks import *  # noqa F403
from diffusers.utils import torch_device

from .test_unet_blocks_common import UNetBlockTesterMixin






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			str									=    DownBlockaD  # noqa F405
       lowercase_				:			List[str]									=    """down"""
       def     UpperCamelCase  (      self) ->     List[str]:




           """simple docstring"""

           _lowercase :							str   	=	[-0.0_2_3_2, -0.9_8_6_9, 0.8_0_5_4, -0.0_6_3_7, -0.1_6_8_8, -1.4_2_6_4, 0.4_4_7_0, -1.3_3_9_4, 0.0_9_0_4]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			Optional[Any]									=    ResnetDownsampleBlockaD  # noqa F405
       lowercase_				:			Optional[Any]									=    """down"""
       def     UpperCamelCase  (      self) ->     Any:




           """simple docstring"""

           _lowercase :							Optional[Any]   	=	[0.0_7_1_0, 0.2_4_1_0, -0.7_3_2_0, -1.0_7_5_7, -1.1_3_4_3, 0.3_5_4_0, -0.0_1_3_3, -0.2_5_7_6, 0.0_9_4_8]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			Any									=    AttnDownBlockaD  # noqa F405
       lowercase_				:			Dict									=    """down"""
       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           _lowercase :							Optional[int]   	=	[0.0_6_3_6, 0.8_9_6_4, -0.6_2_3_4, -1.0_1_3_1, 0.0_8_4_4, 0.4_9_3_5, 0.3_4_3_7, 0.0_9_1_1, -0.2_9_5_7]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			str									=    CrossAttnDownBlockaD  # noqa F405
       lowercase_				:			Optional[int]									=    """down"""
       def     UpperCamelCase  (      self) ->     Dict:




           """simple docstring"""

           _lowercase	,       _lowercase :							int   	=	super().prepare_init_args_and_inputs_for_common()
           _lowercase :							int   	=	32
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     str:




           """simple docstring"""

           _lowercase :							List[str]   	=	[0.2_2_3_8, -0.7_3_9_6, -0.2_2_5_5, -0.3_8_2_9, 0.1_9_2_5, 1.1_6_6_5, 0.0_6_0_3, -0.7_2_9_5, 0.1_9_8_3]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			Dict									=    SimpleCrossAttnDownBlockaD  # noqa F405
       lowercase_				:			Optional[Any]									=    """down"""
       @property
       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           return super().get_dummy_input(include_encoder_hidden_states=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     List[Any]:




           """simple docstring"""

           _lowercase	,       _lowercase :							Dict   	=	super().prepare_init_args_and_inputs_for_common()
           _lowercase :							Optional[Any]   	=	32
           return init_dict, inputs_dict




       @unittest.skipIf(torch_device == 'mps',   'MPS result is not consistent')
       def     UpperCamelCase  (      self) ->     int:




           """simple docstring"""

           _lowercase :							Tuple   	=	[0.7_9_2_1, -0.0_9_9_2, -0.1_9_6_2, -0.7_6_9_5, -0.4_2_4_2, 0.7_8_0_4, 0.4_7_3_7, 0.2_7_6_5, 0.3_3_3_8]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			str									=    SkipDownBlockaD  # noqa F405
       lowercase_				:			Union[str, Any]									=    """down"""
       @property
       def     UpperCamelCase  (      self) ->     List[str]:




           """simple docstring"""

           return super().get_dummy_input(include_skip_sample=lowerCamelCase)




       def     UpperCamelCase  (      self) ->     Tuple:




           """simple docstring"""

           _lowercase :							int   	=	[-0.0_8_4_5, -0.2_0_8_7, -0.2_4_6_5, 0.0_9_7_1, 0.1_9_0_0, -0.0_4_8_4, 0.2_6_6_4, 0.4_1_7_9, 0.5_0_6_9]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			str									=    AttnSkipDownBlockaD  # noqa F405
       lowercase_				:			Optional[Any]									=    """down"""
       @property
       def     UpperCamelCase  (      self) ->     Tuple:




           """simple docstring"""

           return super().get_dummy_input(include_skip_sample=lowerCamelCase)




       def     UpperCamelCase  (      self) ->     List[Any]:




           """simple docstring"""

           _lowercase :							Optional[int]   	=	[0.5_5_3_9, 0.1_6_0_9, 0.4_9_2_4, 0.0_5_3_7, -0.1_9_9_5, 0.4_0_5_0, 0.0_9_7_9, -0.2_7_2_1, -0.0_6_4_2]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			str									=    DownEncoderBlockaD  # noqa F405
       lowercase_				:			Optional[Any]									=    """down"""
       @property
       def     UpperCamelCase  (      self) ->     List[str]:




           """simple docstring"""

           return super().get_dummy_input(include_temb=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     int:




           """simple docstring"""

           _lowercase :							Dict   	=	{
               'in_channels': 32,
               'out_channels': 32,
           }
           _lowercase :							int   	=	self.dummy_input
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     List[str]:




           """simple docstring"""

           _lowercase :							List[str]   	=	[1.1_1_0_2, 0.5_3_0_2, 0.4_8_7_2, -0.0_0_2_3, -0.8_0_4_2, 0.0_4_8_3, -0.3_4_8_9, -0.5_6_3_2, 0.7_6_2_6]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			int									=    AttnDownEncoderBlockaD  # noqa F405
       lowercase_				:			Tuple									=    """down"""
       @property
       def     UpperCamelCase  (      self) ->     Tuple:




           """simple docstring"""

           return super().get_dummy_input(include_temb=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     str:




           """simple docstring"""

           _lowercase :							Any   	=	{
               'in_channels': 32,
               'out_channels': 32,
           }
           _lowercase :							Optional[int]   	=	self.dummy_input
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     Optional[Any]:




           """simple docstring"""

           _lowercase :							Union[str, Any]   	=	[0.8_9_6_6, -0.1_4_8_6, 0.8_5_6_8, 0.8_1_4_1, -0.9_0_4_6, -0.1_3_4_2, -0.0_9_7_2, -0.7_4_1_7, 0.1_5_3_8]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			int									=    UNetMidBlockaD  # noqa F405
       lowercase_				:			Optional[int]									=    """mid"""
       def     UpperCamelCase  (      self) ->     Optional[Any]:




           """simple docstring"""

           _lowercase :							int   	=	{
               'in_channels': 32,
               'temb_channels': 1_28,
           }
           _lowercase :							Optional[Any]   	=	self.dummy_input
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     Dict:




           """simple docstring"""

           _lowercase :							Dict   	=	[-0.1_0_6_2, 1.7_2_4_8, 0.3_4_9_4, 1.4_5_6_9, -0.0_9_1_0, -1.2_4_2_1, -0.9_9_8_4, 0.6_7_3_6, 1.0_0_2_8]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			Dict									=    UNetMidBlockaDCrossAttn  # noqa F405
       lowercase_				:			Dict									=    """mid"""
       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           _lowercase	,       _lowercase :							Union[str, Any]   	=	super().prepare_init_args_and_inputs_for_common()
           _lowercase :							Any   	=	32
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     str:




           """simple docstring"""

           _lowercase :							Dict   	=	[0.0_1_8_7, 2.4_2_2_0, 0.4_4_8_4, 1.1_2_0_3, -0.6_1_2_1, -1.5_1_2_2, -0.8_2_7_0, 0.7_8_5_1, 1.8_3_3_5]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			List[Any]									=    UNetMidBlockaDSimpleCrossAttn  # noqa F405
       lowercase_				:			Any									=    """mid"""
       @property
       def     UpperCamelCase  (      self) ->     Union[str, Any]:




           """simple docstring"""

           return super().get_dummy_input(include_encoder_hidden_states=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     Dict:




           """simple docstring"""

           _lowercase	,       _lowercase :							str   	=	super().prepare_init_args_and_inputs_for_common()
           _lowercase :							List[str]   	=	32
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           _lowercase :							int   	=	[0.7_1_4_3, 1.9_9_7_4, 0.5_4_4_8, 1.3_9_7_7, 0.1_2_8_2, -1.1_2_3_7, -1.4_2_3_8, 0.5_5_3_0, 0.8_8_8_0]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			List[Any]									=    UpBlockaD  # noqa F405
       lowercase_				:			List[str]									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     List[Any]:




           """simple docstring"""

           return super().get_dummy_input(include_res_hidden_states_tuple=lowerCamelCase)




       def     UpperCamelCase  (      self) ->     Dict:




           """simple docstring"""

           _lowercase :							Any   	=	[-0.2_0_4_1, -0.4_1_6_5, -0.3_0_2_2, 0.0_0_4_1, -0.6_6_2_8, -0.7_0_5_3, 0.1_9_2_8, -0.0_3_2_5, 0.0_5_2_3]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			List[str]									=    ResnetUpsampleBlockaD  # noqa F405
       lowercase_				:			Optional[int]									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     List[str]:




           """simple docstring"""

           return super().get_dummy_input(include_res_hidden_states_tuple=lowerCamelCase)




       def     UpperCamelCase  (      self) ->     List[Any]:




           """simple docstring"""

           _lowercase :							List[Any]   	=	[0.2_2_8_7, 0.3_5_4_9, -0.1_3_4_6, 0.4_7_9_7, -0.1_7_1_5, -0.9_6_4_9, 0.7_3_0_5, -0.5_8_6_4, -0.6_2_4_4]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			Dict									=    CrossAttnUpBlockaD  # noqa F405
       lowercase_				:			List[str]									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     int:




           """simple docstring"""

           return super().get_dummy_input(include_res_hidden_states_tuple=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     Union[str, Any]:




           """simple docstring"""

           _lowercase	,       _lowercase :							Union[str, Any]   	=	super().prepare_init_args_and_inputs_for_common()
           _lowercase :							Tuple   	=	32
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     str:




           """simple docstring"""

           _lowercase :							Dict   	=	[-0.1_4_0_3, -0.3_5_1_5, -0.0_4_2_0, -0.1_4_2_5, 0.3_1_6_7, 0.5_0_9_4, -0.2_1_8_1, 0.5_9_3_1, 0.5_5_8_2]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			Optional[int]									=    SimpleCrossAttnUpBlockaD  # noqa F405
       lowercase_				:			List[Any]									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     Any:




           """simple docstring"""

           return super().get_dummy_input(include_res_hidden_states_tuple=lowerCamelCase,   include_encoder_hidden_states=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     List[str]:




           """simple docstring"""

           _lowercase	,       _lowercase :							int   	=	super().prepare_init_args_and_inputs_for_common()
           _lowercase :							Dict   	=	32
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     Dict:




           """simple docstring"""

           _lowercase :							List[str]   	=	[0.2_6_4_5, 0.1_4_8_0, 0.0_9_0_9, 0.8_0_4_4, -0.9_7_5_8, -0.9_0_8_3, 0.0_9_9_4, -1.1_4_5_3, -0.7_4_0_2]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			List[str]									=    AttnUpBlockaD  # noqa F405
       lowercase_				:			Optional[int]									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           return super().get_dummy_input(include_res_hidden_states_tuple=lowerCamelCase)




       @unittest.skipIf(torch_device == 'mps',   'MPS result is not consistent')
       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           _lowercase :							Union[str, Any]   	=	[0.0_9_7_9, 0.1_3_2_6, 0.0_0_2_1, 0.0_6_5_9, 0.2_2_4_9, 0.0_0_5_9, 0.1_1_3_2, 0.5_9_5_2, 0.1_0_3_3]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			List[str]									=    SkipUpBlockaD  # noqa F405
       lowercase_				:			Optional[Any]									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     List[str]:




           """simple docstring"""

           return super().get_dummy_input(include_res_hidden_states_tuple=lowerCamelCase)




       def     UpperCamelCase  (      self) ->     List[Any]:




           """simple docstring"""

           _lowercase :							Optional[Any]   	=	[-0.0_8_9_3, -0.1_2_3_4, -0.1_5_0_6, -0.0_3_3_2, 0.0_1_2_3, -0.0_2_1_1, 0.0_5_6_6, 0.0_1_4_3, 0.0_3_6_2]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			int									=    AttnSkipUpBlockaD  # noqa F405
       lowercase_				:			Any									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     int:




           """simple docstring"""

           return super().get_dummy_input(include_res_hidden_states_tuple=lowerCamelCase)




       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           _lowercase :							Tuple   	=	[0.0_3_6_1, 0.0_6_1_7, 0.2_7_8_7, -0.0_3_5_0, 0.0_3_4_2, 0.3_4_2_1, -0.0_8_4_3, 0.0_9_1_3, 0.3_0_1_5]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			List[str]									=    UpDecoderBlockaD  # noqa F405
       lowercase_				:			int									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     List[Any]:




           """simple docstring"""

           return super().get_dummy_input(include_temb=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     Optional[int]:




           """simple docstring"""

           _lowercase :							Optional[Any]   	=	{'in_channels': 32, 'out_channels': 32}

           _lowercase :							Optional[Any]   	=	self.dummy_input
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     int:




           """simple docstring"""

           _lowercase :							List[Any]   	=	[0.4_4_0_4, 0.1_9_9_8, -0.9_8_8_6, -0.3_3_2_0, -0.3_1_2_8, -0.7_0_3_4, -0.6_9_5_5, -0.2_3_3_8, -0.3_1_3_7]
           super().test_output(lowerCamelCase)






class _lowerCamelCase(		_a,				unittest.TestCase     ):
       lowercase_				:			Any									=    AttnUpDecoderBlockaD  # noqa F405
       lowercase_				:			str									=    """up"""
       @property
       def     UpperCamelCase  (      self) ->     int:




           """simple docstring"""

           return super().get_dummy_input(include_temb=lowerCamelCase)
       def     UpperCamelCase  (      self) ->     Any:




           """simple docstring"""

           _lowercase :							Optional[Any]   	=	{'in_channels': 32, 'out_channels': 32}

           _lowercase :							List[Any]   	=	self.dummy_input
           return init_dict, inputs_dict




       def     UpperCamelCase  (      self) ->     str:




           """simple docstring"""

           _lowercase :							Optional[int]   	=	[0.6_7_3_8, 0.4_4_9_1, 0.1_0_5_5, 1.0_7_1_0, 0.7_3_1_6, 0.3_3_3_9, 0.3_3_5_2, 0.1_0_2_3, 0.3_5_6_8]
           super().test_output(lowerCamelCase)


