





import math

__A							:			List[str]         =			10
__A							:			Any         =			7
__A							:			str         =			BALLS_PER_COLOUR * NUM_COLOURS





def 				__lowerCAmelCase(       _SCREAMING_SNAKE_CASE = 20				)							-> str:




    """simple docstring"""




    _A     =							math.comb(_SCREAMING_SNAKE_CASE							,     _SCREAMING_SNAKE_CASE				)
    _A     =							math.comb(NUM_BALLS - BALLS_PER_COLOUR							,     _SCREAMING_SNAKE_CASE				)

    _A     =							NUM_COLOURS * (1 - missing_colour / total)

    return F"{result:.9f}"


if __name__ == "__main__":
 print(solution(20))












from collections import defaultdict
from math import ceil, sqrt





def 				__lowerCAmelCase(       _SCREAMING_SNAKE_CASE = 1_000_000							,     _SCREAMING_SNAKE_CASE = 10				)							-> int:




    """simple docstring"""




    _A     =							defaultdict(_SCREAMING_SNAKE_CASE				)

    for outer_width in range(3							,     (t_limit // 4) + 2				):
        if outer_width * outer_width > t_limit:
            _A     =							max(
                ceil(sqrt(outer_width * outer_width - t_limit				)				)							,     1				)
        else:
            _A     =							1

        hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2

        for hole_width in range(_SCREAMING_SNAKE_CASE							,     outer_width - 1							,     2				):
            count[outer_width * outer_width - hole_width * hole_width] += 1

    return sum(1 for n in count.values() if 1 <= n <= 10				)


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





