
"""simple docstring"""

import os
import tempfile
from pathlib import Path
from unittest import TestCase

import pyarrow as pa
import pytest

from datasets.arrow_dataset import Dataset
from datasets.arrow_reader import ArrowReader, BaseReader, FileInstructions, ReadInstruction, make_file_instructions
from datasets.info import DatasetInfo
from datasets.splits import NamedSplit, Split, SplitDict, SplitInfo

from .utils import assert_arrow_memory_doesnt_increase, assert_arrow_memory_increases
class    _UpperCAmelCase							(						SCREAMING_SNAKE_CASE_							):




      def 			a_					(							self      ,				lowercase_      ,				lowercase_=False							)  ->    Optional[int]:
          UpperCAmelCase	,							UpperCAmelCase	,							UpperCAmelCase  	=    (
              filename_skip_take['filename'],
              filename_skip_take['skip'] if 'skip' in filename_skip_take else None,
              filename_skip_take['take'] if 'take' in filename_skip_take else None,
          )
          open(os.path.join(lowercase_							)      ,				'wb'							).close()
          UpperCAmelCase  	=    pa.Table.from_pydict({'filename': [Path(lowercase_							).name] * 1_0_0}							)
          if take == -1:
              UpperCAmelCase  	=    len(lowercase_							) - skip
          if skip is not None and take is not None:
              UpperCAmelCase  	=    pa_table.slice(lowercase_      ,				lowercase_							)
          return pa_table

class    _UpperCAmelCase							(						SCREAMING_SNAKE_CASE_							):




      def 			a_					(							self							)  ->    Optional[Any]:
          UpperCAmelCase  	=    'my_name'
          UpperCAmelCase  	=    SplitInfo(name='train'      ,				num_examples=1_0_0							)
          UpperCAmelCase  	=    SplitInfo(name='test'      ,				num_examples=1_0_0							)
          UpperCAmelCase  	=    [train_info, test_info]
          UpperCAmelCase  	=    SplitDict()
          split_dict.add(lowercase_							)
          split_dict.add(lowercase_							)
          UpperCAmelCase  	=    DatasetInfo(splits=lowercase_							)

          with tempfile.TemporaryDirectory() as tmp_dir:
              UpperCAmelCase  	=    ReaderTest(lowercase_      ,				lowercase_							)

              UpperCAmelCase  	=    'test[:33%]'
              UpperCAmelCase  	=    Dataset(**reader.read(lowercase_      ,				lowercase_      ,				lowercase_							)							)
              self.assertEqual(dset['filename'][0]      ,				F"{name}-test"							)
              self.assertEqual(dset.num_rows      ,				3_3							)
              self.assertEqual(dset.num_columns      ,				1							)

              UpperCAmelCase  	=    ['train', 'test[:33%]']
              UpperCAmelCase  	=    [Split.TRAIN, ReadInstruction.from_spec('test[:33%]'							)]
              for instructions in [instructionsa, instructionsa]:
                  UpperCAmelCase  	=    [reader.read(lowercase_      ,				lowercase_      ,				lowercase_							) for instr in instructions]
                  UpperCAmelCase	,							UpperCAmelCase  	=    (Dataset(**lowercase_							) for dataset_kwargs in datasets_kwargs)
                  self.assertEqual(train_dset['filename'][0]      ,				F"{name}-train"							)
                  self.assertEqual(train_dset.num_rows      ,				1_0_0							)
                  self.assertEqual(train_dset.num_columns      ,				1							)
                  self.assertIsInstance(train_dset.split      ,				lowercase_							)
                  self.assertEqual(str(train_dset.split							)      ,				'train'							)
                  self.assertEqual(test_dset['filename'][0]      ,				F"{name}-test"							)
                  self.assertEqual(test_dset.num_rows      ,				3_3							)
                  self.assertEqual(test_dset.num_columns      ,				1							)
                  self.assertIsInstance(test_dset.split      ,				lowercase_							)
                  self.assertEqual(str(test_dset.split							)      ,				'test[:33%]'							)
                  del train_dset, test_dset




      def 			a_					(							self							)  ->    Optional[int]:
          UpperCAmelCase  	=    'my_name'
          UpperCAmelCase  	=    SplitInfo(name='train'      ,				num_examples=1_0_0_0      ,				shard_lengths=[1_0_0] * 1_0							)
          UpperCAmelCase  	=    [train_info]
          UpperCAmelCase  	=    SplitDict()
          split_dict.add(lowercase_							)
          UpperCAmelCase  	=    DatasetInfo(splits=lowercase_							)

          with tempfile.TemporaryDirectory() as tmp_dir:
              UpperCAmelCase  	=    ReaderTest(lowercase_      ,				lowercase_							)

              UpperCAmelCase  	=    'train[:33%]'
              UpperCAmelCase  	=    Dataset(**reader.read(lowercase_      ,				lowercase_      ,				lowercase_							)							)
              self.assertEqual(dset['filename'][0]      ,				F"{name}-train-00000-of-00010"							)
              self.assertEqual(dset['filename'][-1]      ,				F"{name}-train-00003-of-00010"							)
              self.assertEqual(dset.num_rows      ,				3_3_0							)
              self.assertEqual(dset.num_columns      ,				1							)




      def 			a_					(							self							)  ->    List[Any]:
          UpperCAmelCase  	=    SplitInfo(name='train'      ,				num_examples=1_0_0							)
          UpperCAmelCase  	=    SplitInfo(name='test'      ,				num_examples=1_0_0							)
          UpperCAmelCase  	=    SplitDict()
          split_dict.add(lowercase_							)
          split_dict.add(lowercase_							)
          UpperCAmelCase  	=    DatasetInfo(splits=lowercase_							)

          with tempfile.TemporaryDirectory() as tmp_dir:
              UpperCAmelCase  	=    ReaderTest(lowercase_      ,				lowercase_							)

              UpperCAmelCase  	=    [
                  {'filename': os.path.join(lowercase_      ,				'train'							)},
                  {'filename': os.path.join(lowercase_      ,				'test'							), 'skip': 1_0, 'take': 1_0},
              ]
              UpperCAmelCase  	=    Dataset(**reader.read_files(lowercase_      ,				original_instructions='train+test[10:20]'							)							)
              self.assertEqual(dset.num_rows      ,				1_1_0							)
              self.assertEqual(dset.num_columns      ,				1							)
              del dset




@pytest.mark.parametrize('in_memory'       , [False, True]       )
def 			lowercase__  (    lowerCAmelCase :    List[str]       , lowerCAmelCase :    Any       , lowerCAmelCase :    Union[str, Any]       )       ->					List[str]:






    """simple docstring"""




    UpperCAmelCase  	=    arrow_file
    with assert_arrow_memory_increases() if in_memory else assert_arrow_memory_doesnt_increase():
        UpperCAmelCase  	=    ArrowReader.read_table(lowerCAmelCase       , in_memory=lowerCAmelCase       )
    assert table.shape == dataset.data.shape
    assert set(table.column_names       ) == set(dataset.data.column_names       )
    assert dict(table.to_pydict()       ) == dict(dataset.data.to_pydict()       )  # to_pydict returns OrderedDict




@pytest.mark.parametrize('in_memory'       , [False, True]       )
def 			lowercase__  (    lowerCAmelCase :    int       , lowerCAmelCase :    Any       , lowerCAmelCase :    Optional[int]       )       ->					Dict:






    """simple docstring"""




    UpperCAmelCase  	=    arrow_file
    UpperCAmelCase  	=    ArrowReader(''       , lowerCAmelCase       )
    with assert_arrow_memory_increases() if in_memory else assert_arrow_memory_doesnt_increase():
        UpperCAmelCase  	=    reader.read_files([{'filename': filename}]       , in_memory=lowerCAmelCase       )
    assert dataset_kwargs.keys() == {"arrow_table", "info", "split"}
    UpperCAmelCase  	=    dataset_kwargs['arrow_table']
    assert table.shape == dataset.data.shape
    assert set(table.column_names       ) == set(dataset.data.column_names       )
    assert dict(table.to_pydict()       ) == dict(dataset.data.to_pydict()       )  # to_pydict returns OrderedDict




def 			lowercase__  (    )       ->					Dict:






    """simple docstring"""




    assert ReadInstruction('train'       , to=10       , unit='abs'       ).to_spec() == "train[:10]"
    assert ReadInstruction('train'       , from_=-80       , to=10       , unit='%'       ).to_spec() == "train[-80%:10%]"

    UpperCAmelCase  	=    'train+test'
    assert ReadInstruction.from_spec(lowerCAmelCase       ).to_spec() == spec_train_test

    UpperCAmelCase  	=    'train[2:10]'
    assert ReadInstruction.from_spec(lowerCAmelCase       ).to_spec() == spec_train_abs

    UpperCAmelCase  	=    'train[15%:-20%]'
    assert ReadInstruction.from_spec(lowerCAmelCase       ).to_spec() == spec_train_pct

    UpperCAmelCase  	=    'train[:10%](closest)'
    assert ReadInstruction.from_spec(lowerCAmelCase       ).to_spec() == "train[:10%]"

    UpperCAmelCase  	=    'train[:10%](pct1_dropremainder)'
    assert ReadInstruction.from_spec(lowerCAmelCase       ).to_spec() == spec_train_pct_rounding

    UpperCAmelCase  	=    'train[:10%](pct1_dropremainder)+test[-10%:](pct1_dropremainder)'
    assert ReadInstruction.from_spec(lowerCAmelCase       ).to_spec() == spec_train_test_pct_rounding




def 			lowercase__  (    )       ->					Optional[Any]:






    """simple docstring"""




    UpperCAmelCase  	=    'dummy'
    UpperCAmelCase  	=    [SplitInfo(name='train'       , num_examples=100       )]
    UpperCAmelCase  	=    'train[:33%]'
    UpperCAmelCase  	=    'arrow'
    UpperCAmelCase  	=    'prefix'

    UpperCAmelCase  	=    make_file_instructions(lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       )
    assert isinstance(lowerCAmelCase       , lowerCAmelCase       )
    assert file_instructions.num_examples == 33
    assert file_instructions.file_instructions == [
        {"filename": os.path.join(lowerCAmelCase       , F"{name}-train.arrow"       ), "skip": 0, "take": 33}
    ]

    UpperCAmelCase  	=    [SplitInfo(name='train'       , num_examples=100       , shard_lengths=[10] * 10       )]
    UpperCAmelCase  	=    make_file_instructions(lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       )
    assert isinstance(lowerCAmelCase       , lowerCAmelCase       )
    assert file_instructions.num_examples == 33
    assert file_instructions.file_instructions == [
        {"filename": os.path.join(lowerCAmelCase       , F"{name}-train-00000-of-00010.arrow"       ), "skip": 0, "take": -1},
        {"filename": os.path.join(lowerCAmelCase       , F"{name}-train-00001-of-00010.arrow"       ), "skip": 0, "take": -1},
        {"filename": os.path.join(lowerCAmelCase       , F"{name}-train-00002-of-00010.arrow"       ), "skip": 0, "take": -1},
        {"filename": os.path.join(lowerCAmelCase       , F"{name}-train-00003-of-00010.arrow"       ), "skip": 0, "take": 3},
    ]







@pytest.mark.parametrize('name, expected_exception'       , [(None, TypeError), ('', ValueError)]       )
def 			lowercase__  (    lowerCAmelCase :    Tuple       , lowerCAmelCase :    str       )       ->					List[Any]:






    """simple docstring"""




    UpperCAmelCase  	=    [SplitInfo(name='train'       , num_examples=100       )]
    UpperCAmelCase  	=    'train'
    UpperCAmelCase  	=    'arrow'
    UpperCAmelCase  	=    'prefix_path'
    with pytest.raises(lowerCAmelCase       ):
        UpperCAmelCase  	=    make_file_instructions(lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       , lowerCAmelCase       )





"""simple docstring"""

from math import floor, sqrt




def 			lowercase__  (    lowerCAmelCase :    int       )       ->					int:






    """simple docstring"""




    UpperCAmelCase  	=    0.0
    UpperCAmelCase  	=    1.0
    UpperCAmelCase  	=    int(sqrt(lowerCAmelCase       )       )
    UpperCAmelCase  	=    root
    UpperCAmelCase  	=    0
    while integer_part != 2 * root:
        UpperCAmelCase  	=    denominator * integer_part - numerator
        UpperCAmelCase  	=    (n - numerator**2) / denominator
        UpperCAmelCase  	=    int((root + numerator) / denominator       )
        period += 1
    return period




def 			lowercase__  (    lowerCAmelCase :    int = 10_000       )       ->					int:






    """simple docstring"""




    UpperCAmelCase  	=    0
    for i in range(2       , n + 1       ):
        UpperCAmelCase  	=    sqrt(lowerCAmelCase       )
        if sr - floor(lowerCAmelCase       ) != 0 and continuous_fraction_period(lowerCAmelCase       ) % 2 == 1:
            count_odd_periods += 1
    return count_odd_periods


if __name__ == "__main__":
   print(F'{solution(int(input().strip()))}')



