




"""simple docstring"""







import sys

a      =							(
    '73167176531330624919225119674426574742355349194934'
    '96983520312774506326239578318016984801869478851843'
    '85861560789112949495459501737958331952853208805511'
    '12540698747158523863050715693290963295227443043557'
    '66896648950445244523161731856403098711121722383113'
    '62229893423380308135336276614282806444486645238749'
    '30358907296290491560440772390713810515859307960866'
    '70172427121883998797908792274921901699720888093776'
    '65727333001053367881220235421809751254540594752243'
    '52584907711670556013604839586446706324415722155397'
    '53697817977846174064955149290862569321978468622482'
    '83972241375657056057490261407972968652414535100474'
    '82166370484403199890008895243450658541227588666881'
    '16427171479924442928230863465674813919123162824586'
    '17866458359124566529476545682848912883142607690042'
    '24219022671055626321111109370544217506941658960408'
    '07198403850962455444362981230987879927244284909188'
    '84580156166097919133875499200524063689912560717606'
    '05886116467109405077541002256983155200055935729725'
    '71636269561882670428252483600823257530420752963450'
)





def 							lowercase					(snake_case__   : str )     ->  int:


				'''simple docstring'''






				lowerCAmelCase  =				1
				for digit in s:
								product *= int(snake_case__ )
				return product





def 							lowercase					(snake_case__   : str = N )     ->  int:


				'''simple docstring'''






				lowerCAmelCase  =				-sys.maxsize - 1
				lowerCAmelCase  =				n[:13]
				lowerCAmelCase  =				13
				while cur_index < len(snake_case__ ) - 13:
								if int(n[cur_index] ) >= int(substr[0] ):
												lowerCAmelCase  =				substr[1:] + n[cur_index]
												cur_index += 1
								else:
												lowerCAmelCase  =				max(snake_case__      ,       str_eval(snake_case__ ) )
												lowerCAmelCase  =				n[cur_index : cur_index + 13]
												cur_index += 13
				return largest_product


if __name__ == "__main__":
		print(f"""{solution() = }""")











"""simple docstring"""







import flax.linen as nn
import jax.numpy as jnp

from .attention_flax import FlaxTransformeraDModel
from .resnet_flax import FlaxDownsampleaD, FlaxResnetBlockaD, FlaxUpsampleaD






class       SCREAMING_SNAKE_CASE__					(					nn.Module					):
						_a    						=						42
						_a    						=						42
						_a    						=						0.0
						_a    						=						1
						_a    						=						1
						_a    						=						True
						_a    						=						False
						_a    						=						False
						_a    						=						False
						_a    						=						jnp.floataa


						def   __lowercase (							self				:			List[str]					):
										lowerCAmelCase  =				[]
										lowerCAmelCase  =				[]

										for i in range(self.num_layers					):
														lowerCAmelCase  =				self.in_channels if i == 0 else self.out_channels

														lowerCAmelCase  =				FlaxResnetBlockaD(
														    in_channels=lowerCAmelCase						,						out_channels=self.out_channels						,						dropout_prob=self.dropout						,						dtype=self.dtype						,						)
														resnets.append(lowerCAmelCase					)

														lowerCAmelCase  =				FlaxTransformeraDModel(
														    in_channels=self.out_channels						,						n_heads=self.num_attention_heads						,						d_head=self.out_channels // self.num_attention_heads						,						depth=1						,						use_linear_projection=self.use_linear_projection						,						only_cross_attention=self.only_cross_attention						,						use_memory_efficient_attention=self.use_memory_efficient_attention						,						dtype=self.dtype						,						)
														attentions.append(lowerCAmelCase					)

										lowerCAmelCase  =				resnets
										lowerCAmelCase  =				attentions

										if self.add_downsample:
														lowerCAmelCase  =				FlaxDownsampleaD(self.out_channels						,						dtype=self.dtype					)




						def __call__(							self				:			Tuple						,						lowerCAmelCase				:			str						,						lowerCAmelCase				:			Union[str, Any]						,						lowerCAmelCase				:			Tuple						,						lowerCAmelCase				:			int=True					):
										lowerCAmelCase  =				()

										for resnet, attn in zip(self.resnets						,						self.attentions					):
														lowerCAmelCase  =				resnet(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)
														lowerCAmelCase  =				attn(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)
														output_states += (hidden_states,)

										if self.add_downsample:
														lowerCAmelCase  =				self.downsamplers_a(lowerCAmelCase					)
														output_states += (hidden_states,)

										return hidden_states, output_states






class       SCREAMING_SNAKE_CASE__					(					nn.Module					):
						_a    						=						42
						_a    						=						42
						_a    						=						0.0
						_a    						=						1
						_a    						=						True
						_a    						=						jnp.floataa


						def   __lowercase (							self				:			Union[str, Any]					):
										lowerCAmelCase  =				[]

										for i in range(self.num_layers					):
														lowerCAmelCase  =				self.in_channels if i == 0 else self.out_channels

														lowerCAmelCase  =				FlaxResnetBlockaD(
														    in_channels=lowerCAmelCase						,						out_channels=self.out_channels						,						dropout_prob=self.dropout						,						dtype=self.dtype						,						)
														resnets.append(lowerCAmelCase					)
										lowerCAmelCase  =				resnets

										if self.add_downsample:
														lowerCAmelCase  =				FlaxDownsampleaD(self.out_channels						,						dtype=self.dtype					)




						def __call__(							self				:			int						,						lowerCAmelCase				:			Any						,						lowerCAmelCase				:			Any						,						lowerCAmelCase				:			List[str]=True					):
										lowerCAmelCase  =				()

										for resnet in self.resnets:
														lowerCAmelCase  =				resnet(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)
														output_states += (hidden_states,)

										if self.add_downsample:
														lowerCAmelCase  =				self.downsamplers_a(lowerCAmelCase					)
														output_states += (hidden_states,)

										return hidden_states, output_states






class       SCREAMING_SNAKE_CASE__					(					nn.Module					):
						_a    						=						42
						_a    						=						42
						_a    						=						42
						_a    						=						0.0
						_a    						=						1
						_a    						=						1
						_a    						=						True
						_a    						=						False
						_a    						=						False
						_a    						=						False
						_a    						=						jnp.floataa


						def   __lowercase (							self				:			List[str]					):
										lowerCAmelCase  =				[]
										lowerCAmelCase  =				[]

										for i in range(self.num_layers					):
														lowerCAmelCase  =				self.in_channels if (i == self.num_layers - 1) else self.out_channels
														lowerCAmelCase  =				self.prev_output_channel if i == 0 else self.out_channels

														lowerCAmelCase  =				FlaxResnetBlockaD(
														    in_channels=resnet_in_channels + res_skip_channels						,						out_channels=self.out_channels						,						dropout_prob=self.dropout						,						dtype=self.dtype						,						)
														resnets.append(lowerCAmelCase					)

														lowerCAmelCase  =				FlaxTransformeraDModel(
														    in_channels=self.out_channels						,						n_heads=self.num_attention_heads						,						d_head=self.out_channels // self.num_attention_heads						,						depth=1						,						use_linear_projection=self.use_linear_projection						,						only_cross_attention=self.only_cross_attention						,						use_memory_efficient_attention=self.use_memory_efficient_attention						,						dtype=self.dtype						,						)
														attentions.append(lowerCAmelCase					)

										lowerCAmelCase  =				resnets
										lowerCAmelCase  =				attentions

										if self.add_upsample:
														lowerCAmelCase  =				FlaxUpsampleaD(self.out_channels						,						dtype=self.dtype					)




						def __call__(							self				:			Optional[Any]						,						lowerCAmelCase				:			Tuple						,						lowerCAmelCase				:			Dict						,						lowerCAmelCase				:			List[Any]						,						lowerCAmelCase				:			Any						,						lowerCAmelCase				:			Dict=True					):
										for resnet, attn in zip(self.resnets						,						self.attentions					):
														# pop res hidden states
														lowerCAmelCase  =				res_hidden_states_tuple[-1]
														lowerCAmelCase  =				res_hidden_states_tuple[:-1]
														lowerCAmelCase  =				jnp.concatenate((hidden_states, res_hidden_states)						,						axis=-1					)

														lowerCAmelCase  =				resnet(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)
														lowerCAmelCase  =				attn(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)

										if self.add_upsample:
														lowerCAmelCase  =				self.upsamplers_a(lowerCAmelCase					)

										return hidden_states






class       SCREAMING_SNAKE_CASE__					(					nn.Module					):
						_a    						=						42
						_a    						=						42
						_a    						=						42
						_a    						=						0.0
						_a    						=						1
						_a    						=						True
						_a    						=						jnp.floataa


						def   __lowercase (							self				:			Tuple					):
										lowerCAmelCase  =				[]

										for i in range(self.num_layers					):
														lowerCAmelCase  =				self.in_channels if (i == self.num_layers - 1) else self.out_channels
														lowerCAmelCase  =				self.prev_output_channel if i == 0 else self.out_channels

														lowerCAmelCase  =				FlaxResnetBlockaD(
														    in_channels=resnet_in_channels + res_skip_channels						,						out_channels=self.out_channels						,						dropout_prob=self.dropout						,						dtype=self.dtype						,						)
														resnets.append(lowerCAmelCase					)

										lowerCAmelCase  =				resnets

										if self.add_upsample:
														lowerCAmelCase  =				FlaxUpsampleaD(self.out_channels						,						dtype=self.dtype					)




						def __call__(							self				:			Optional[Any]						,						lowerCAmelCase				:			Optional[Any]						,						lowerCAmelCase				:			List[str]						,						lowerCAmelCase				:			List[str]						,						lowerCAmelCase				:			Dict=True					):
										for resnet in self.resnets:
														# pop res hidden states
														lowerCAmelCase  =				res_hidden_states_tuple[-1]
														lowerCAmelCase  =				res_hidden_states_tuple[:-1]
														lowerCAmelCase  =				jnp.concatenate((hidden_states, res_hidden_states)						,						axis=-1					)

														lowerCAmelCase  =				resnet(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)

										if self.add_upsample:
														lowerCAmelCase  =				self.upsamplers_a(lowerCAmelCase					)

										return hidden_states






class       SCREAMING_SNAKE_CASE__					(					nn.Module					):
						_a    						=						42
						_a    						=						0.0
						_a    						=						1
						_a    						=						1
						_a    						=						False
						_a    						=						False
						_a    						=						jnp.floataa


						def   __lowercase (							self				:			List[Any]					):
										# there is always at least one resnet
										lowerCAmelCase  =				[
										    FlaxResnetBlockaD(
										        in_channels=self.in_channels						,						out_channels=self.in_channels						,						dropout_prob=self.dropout						,						dtype=self.dtype						,						)
										]

										lowerCAmelCase  =				[]

										for _ in range(self.num_layers					):
														lowerCAmelCase  =				FlaxTransformeraDModel(
														    in_channels=self.in_channels						,						n_heads=self.num_attention_heads						,						d_head=self.in_channels // self.num_attention_heads						,						depth=1						,						use_linear_projection=self.use_linear_projection						,						use_memory_efficient_attention=self.use_memory_efficient_attention						,						dtype=self.dtype						,						)
														attentions.append(lowerCAmelCase					)

														lowerCAmelCase  =				FlaxResnetBlockaD(
														    in_channels=self.in_channels						,						out_channels=self.in_channels						,						dropout_prob=self.dropout						,						dtype=self.dtype						,						)
														resnets.append(lowerCAmelCase					)

										lowerCAmelCase  =				resnets
										lowerCAmelCase  =				attentions




						def __call__(							self				:			Optional[int]						,						lowerCAmelCase				:			List[str]						,						lowerCAmelCase				:			int						,						lowerCAmelCase				:			Dict						,						lowerCAmelCase				:			List[Any]=True					):
										lowerCAmelCase  =				self.resnets[0](lowerCAmelCase						,						lowerCAmelCase					)
										for attn, resnet in zip(self.attentions						,						self.resnets[1:]					):
														lowerCAmelCase  =				attn(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)
														lowerCAmelCase  =				resnet(lowerCAmelCase						,						lowerCAmelCase						,						deterministic=lowerCAmelCase					)

										return hidden_states





