from __future__ import annotations

def 	__lowerCamelCase							(				__a    : int		)      ->       list[int]:
	_lowercase   =[0] * max_one

	for i in range(0      ,							__a		):
		_lowercase   =i

	for i in range(2      ,							__a		):
		if totients[i] == i:
			for j in range(__a      ,							__a      ,							__a		):
				totients[j] -= totients[j] // i

	return totients

def 	__lowerCamelCase							(				__a    : int      ,							__a    : int		)      ->       bool:
	return sorted(str(__a		)		) == sorted(str(__a		)		)

def 	__lowerCamelCase							(				__a    : int = 10_000_000		)      ->       int:
	_lowercase   =1  # i
	_lowercase   =0  # φ(i)
	_lowercase   =get_totients(max_n + 1		)

	for i in range(2      ,							max_n + 1		):
		_lowercase   =totients[i]

		if i * min_denominator < min_numerator * t and has_same_digits(__a      ,							__a		):
			_lowercase   =i
			_lowercase   =t

	return min_numerator


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





"""simple docstring"""
from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_sentencepiece_available,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


SCREAMING_SNAKE_CASE__       =	{
    "configuration_marian": ["MARIAN_PRETRAINED_CONFIG_ARCHIVE_MAP", "MarianConfig", "MarianOnnxConfig"],
}

try:
					if not is_sentencepiece_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE__       =	["MarianTokenizer"]

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE__       =	[
					    "MARIAN_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "MarianForCausalLM",
					    "MarianModel",
					    "MarianMTModel",
					    "MarianPreTrainedModel",
					]

try:
					if not is_tf_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE__       =	["TFMarianModel", "TFMarianMTModel", "TFMarianPreTrainedModel"]

try:
					if not is_flax_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE__       =	["FlaxMarianModel", "FlaxMarianMTModel", "FlaxMarianPreTrainedModel"]

if TYPE_CHECKING:
					from .configuration_marian import MARIAN_PRETRAINED_CONFIG_ARCHIVE_MAP, MarianConfig, MarianOnnxConfig

					try:
										if not is_sentencepiece_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .tokenization_marian import MarianTokenizer

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_marian import (
										    MARIAN_PRETRAINED_MODEL_ARCHIVE_LIST,
										    MarianForCausalLM,
										    MarianModel,
										    MarianMTModel,
										    MarianPreTrainedModel,
										)

					try:
										if not is_tf_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_tf_marian import TFMarianModel, TFMarianMTModel, TFMarianPreTrainedModel

					try:
										if not is_flax_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_flax_marian import FlaxMarianModel, FlaxMarianMTModel, FlaxMarianPreTrainedModel

else:
					import sys

					SCREAMING_SNAKE_CASE__       =	_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)


