'''simple docstring'''




def 				snake_case__							(			_A:					int )    ->	None:

		'''simple docstring'''


		lowerCAmelCase   					=  generate_pascal_triangle(_A )
		for row_idx in range(_A ):
				# Print left spaces
				for _ in range(num_rows - row_idx - 1 ):
						print(end=""" """ )
				# Print row values
				for col_idx in range(row_idx + 1 ):
						if col_idx != row_idx:
								print(triangle[row_idx][col_idx]      ,   end=""" """ )
						else:
								print(triangle[row_idx][col_idx]      ,   end="""""" )
				print()






def 				snake_case__							(			_A:					int )    ->	list[list[int]]:

		'''simple docstring'''


		if not isinstance(_A      ,   _A ):
				raise TypeError("""The input value of 'num_rows' should be 'int'""" )

		if num_rows == 0:
				return []
		elif num_rows < 0:
				raise ValueError(
				    """The input value of 'num_rows' should be greater than or equal to 0""" )

		lowerCAmelCase   					=  []
		for current_row_idx in range(_A ):
				lowerCAmelCase   					=  populate_current_row(_A      ,   _A )
				triangle.append(_A )
		return triangle






def 				snake_case__							(			_A:					list[list[int]]      ,   _A:					int )    ->	list[int]:

		'''simple docstring'''


		lowerCAmelCase   					=  [-1] * (current_row_idx + 1)
		# first and last elements of current row are equal to 1
		lowerCAmelCase					,     lowerCAmelCase   					=  1, 1
		for current_col_idx in range(1      ,   _A ):
				calculate_current_element(
				    _A      ,   _A      ,   _A      ,   _A )
		return current_row






def 				snake_case__							(			_A:					list[list[int]]      ,   _A:					list[int]      ,   _A:					int      ,   _A:					int      ,   )    ->	None:

		'''simple docstring'''


		lowerCAmelCase   					=  triangle[current_row_idx - 1][current_col_idx - 1]
		lowerCAmelCase   					=  triangle[current_row_idx - 1][current_col_idx]
		lowerCAmelCase   					=  above_to_left_elt + above_to_right_elt






def 				snake_case__							(			_A:					int )    ->	list[list[int]]:

		'''simple docstring'''


		if not isinstance(_A      ,   _A ):
				raise TypeError("""The input value of 'num_rows' should be 'int'""" )

		if num_rows == 0:
				return []
		elif num_rows < 0:
				raise ValueError(
				    """The input value of 'num_rows' should be greater than or equal to 0""" )

		lowerCAmelCase   					=  [[1]]

		for row_index in range(1      ,   _A ):
				lowerCAmelCase   					=  [0] + result[-1] + [0]
				lowerCAmelCase   					=  row_index + 1
				# Calculate the number of distinct elements in a row
				lowerCAmelCase   					=  sum(divmod(_A      ,   2 ) )
				lowerCAmelCase   					=  [
				    temp_row[i - 1] + temp_row[i] for i in range(1      ,   distinct_elements + 1 )
				]
				lowerCAmelCase   					=  row_first_half[: (row_index + 1) // 2]
				row_second_half.reverse()
				lowerCAmelCase   					=  row_first_half + row_second_half
				result.append(_A )

		return result






def 				snake_case__							(			)    ->	None:

		'''simple docstring'''


		from collections.abc import Callable
		from timeit import timeit

		def benchmark_a_function(_A:					Callable      ,   _A:					int ) -> None:
				lowerCAmelCase   					=  f"{func.__name__}({value})"
				lowerCAmelCase   					=  timeit(f"__main__.{call}"      ,   setup="""import __main__""" )
				# print(f"{call:38} = {func(value)} -- {timing:.4f} seconds")
				print(f"{call:38} -- {timing:.4f} seconds" )

		for value in range(15 ):  # (1, 7, 14):
				for func in (generate_pascal_triangle, generate_pascal_triangle_optimized):
						benchmark_a_function(_A      ,   _A )
				print()


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						benchmark()





'''simple docstring'''




from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__lowercase          =  {
    '''configuration_instructblip''': [
        '''INSTRUCTBLIP_PRETRAINED_CONFIG_ARCHIVE_MAP''',
        '''InstructBlipConfig''',
        '''InstructBlipQFormerConfig''',
        '''InstructBlipVisionConfig''',
    ],
    '''processing_instructblip''': ['''InstructBlipProcessor'''],
}

try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						__lowercase          =  [
						    '''INSTRUCTBLIP_PRETRAINED_MODEL_ARCHIVE_LIST''',
						    '''InstructBlipQFormerModel''',
						    '''InstructBlipPreTrainedModel''',
						    '''InstructBlipForConditionalGeneration''',
						    '''InstructBlipVisionModel''',
						]

if TYPE_CHECKING:
						from .configuration_instructblip import (
						    INSTRUCTBLIP_PRETRAINED_CONFIG_ARCHIVE_MAP,
						    InstructBlipConfig,
						    InstructBlipQFormerConfig,
						    InstructBlipVisionConfig,
						)
						from .processing_instructblip import InstructBlipProcessor

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_instructblip import (
												    INSTRUCTBLIP_PRETRAINED_MODEL_ARCHIVE_LIST,
												    InstructBlipForConditionalGeneration,
												    InstructBlipPreTrainedModel,
												    InstructBlipQFormerModel,
												    InstructBlipVisionModel,
												)

else:
						import sys

						__lowercase          =  _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)




