



'''simple docstring'''


import math







def      SCREAMING_SNAKE_CASE				(				lowercase_    :      int						):
						lowercase        =							math.loga(math.sqrt(4 * positive_integer + 1						) / 2 + 1 / 2						)

						return exponent == int(lowercase_						)







def      SCREAMING_SNAKE_CASE				(				lowercase_    :      float = 1 / 1_2345						):
						lowercase        =							0
						lowercase        =							0

						lowercase        =							3
						while True:
												lowercase        =							(integer**2 - 1) / 4
												# if candidate is an integer, then there is a partition for k
												if partition_candidate == int(lowercase_						):
																		lowercase        =							int(lowercase_						)
																		total_partitions += 1
																		if check_partition_perfect(lowercase_						):
																								perfect_partitions += 1
												if perfect_partitions > 0:
																		if perfect_partitions / total_partitions < max_proportion:
																								return int(lowercase_						)
												integer += 1


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







'''simple docstring'''


# coding=utf-8
# Copyright 2023 The HuggingFace Inc. team.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

# this script dumps information about the environment

import os
import platform
import sys


lowercase_      :				List[str]   					=    '''3'''

print('''Python version:''', sys.version)

print('''OS platform:''', platform.platform())
print('''OS architecture:''', platform.machine())

try:
						import torch

						print('''Torch version:''', torch.__version__)
						print('''Cuda available:''', torch.cuda.is_available())
						print('''Cuda version:''', torch.version.cuda)
						print('''CuDNN version:''', torch.backends.cudnn.version())
						print('''Number of GPUs available:''', torch.cuda.device_count())
except ImportError:
						print('''Torch version:''', None)

try:
						import transformers

						print('''transformers version:''', transformers.__version__)
except ImportError:
						print('''transformers version:''', None)


