'''simple docstring'''





import io
import json
import subprocess


UpperCamelCase       :     Dict			=    [
    ["""en""", """ru"""],
    ["""ru""", """en"""],
    ["""en""", """de"""],
    ["""de""", """en"""],
]

UpperCamelCase       :     Optional[int]			=    8






def SCREAMING_SNAKE_CASE__  (				snake_case       :				List[Any]				,	snake_case       :				Optional[int]  )   ->				Optional[int]:







     """simple docstring"""
     a					:							Optional[int]							= {}
     for src, tgt in pairs:
          a					:							List[Any]							= F"""{src}-{tgt}"""
          a					:							Union[str, Any]							= F"""sacrebleu -t wmt19 -l {pair} --echo src""".split()
          a					:							int							= subprocess.run(snake_case				,	stdout=subprocess.PIPE  ).stdout.decode('utf-8'  ).splitlines()
          a					:							List[Any]							= F"""sacrebleu -t wmt19 -l {pair} --echo ref""".split()
          a					:							Tuple							= subprocess.run(snake_case				,	stdout=subprocess.PIPE  ).stdout.decode('utf-8'  ).splitlines()
          a					:							List[str]							= {'src': src_lines[:n_objs], 'tgt': tgt_lines[:n_objs]}
     return text


UpperCamelCase       :     int			=    get_all_data(pairs, n_objs)
UpperCamelCase       :     Dict			=    """./fsmt_val_data.json"""
with io.open(filename, """w""", encoding="""utf-8""") as f:
      UpperCamelCase       :     Optional[int]			=    json.dump(text, f, indent=2, ensure_ascii=False)


'''simple docstring'''





from itertools import count
from math import asin, pi, sqrt






def SCREAMING_SNAKE_CASE__  (				snake_case       :				float  )   ->				float:







     """simple docstring"""
     return (
         (1 - 2 * point) * sqrt(point - point**2  ) + 2 * point + asin(sqrt(1 - point  )  )
     ) / 4






def SCREAMING_SNAKE_CASE__  (				snake_case       :				int  )   ->				float:







     """simple docstring"""
     a					:							List[str]							= (circles_number + 1 - sqrt(2 * circles_number  )) / (
         2 * (circles_number**2 + 1)
     )
     a					:							int							= circles_number * intersection_y

     a					:							List[Any]							= intersection_x * intersection_y / 2
     a					:							List[str]							= circle_bottom_arc_integral(
         1 / 2  ) - circle_bottom_arc_integral(snake_case  )

     return triangle_area + concave_region_area






def SCREAMING_SNAKE_CASE__  (				snake_case       :				float = 1 / 1_000  )   ->				int:







     """simple docstring"""
     a					:							str							= (1 - pi / 4) / 4

     for n in count(1  ):
          if concave_triangle_area(snake_case  ) / l_section_area < fraction:
               return n

     return -1


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

