
def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase    ,		__lowerCAmelCase							):
    assert x is not None
    assert y is not None

    snake_case__						=				len(__lowerCAmelCase							)
    snake_case__						=				len(__lowerCAmelCase							)

    # declaring the array for storing the dp values
    snake_case__						=				[[0] * (n + 1) for _ in range(m + 1							)]  # noqa: E741

    for i in range(1    ,		m + 1							):
        for j in range(1    ,		n + 1							):
            snake_case__						=				1 if x[i - 1] == y[j - 1] else 0

            snake_case__						=				max(l[i - 1][j]    ,		l[i][j - 1]    ,		l[i - 1][j - 1] + match							)

    snake_case__						=				""
    snake_case__						,					snake_case__						=				m, n
    while i > 0 and j > 0:
        snake_case__						=				1 if x[i - 1] == y[j - 1] else 0

        if l[i][j] == l[i - 1][j - 1] + match:
            if match == 1:
                snake_case__						=				x[i - 1] + seq
            i -= 1
            j -= 1
        elif l[i][j] == l[i - 1][j]:
            i -= 1
        else:
            j -= 1

    return l[m][n], seq


if __name__ == "__main__":
     __magic_name__            =  '''AGGTAB'''
     __magic_name__            =  '''GXTXAYB'''
     __magic_name__            =  4
     __magic_name__            =  '''GTAB'''

     __magic_name__       ,      __magic_name__            =  longest_common_subsequence(a, b)
     print('''len =''', ln, ''', sub-sequence =''', subseq)
     import doctest

     doctest.testmod()





from __future__ import annotations

from fractions import Fraction





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase    ,		__lowerCAmelCase							):
    return (
        num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
    )





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase							):
    snake_case__						=				[]
    snake_case__						=				11
    snake_case__						=				int("1" + "0" * digit_len							)
    for num in range(__lowerCAmelCase    ,		__lowerCAmelCase							):
        while den <= 99:
            if (num != den) and (num % 10 == den // 10) and (den % 10 != 0):
                if is_digit_cancelling(__lowerCAmelCase    ,		__lowerCAmelCase							):
                    solutions.append(F"""{num}/{den}"""							)
            den += 1
        num += 1
        snake_case__						=				10
    return solutions





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase = 2							):
    snake_case__						=				1.0
    for fraction in fraction_list(__lowerCAmelCase							):
        snake_case__						=				Fraction(__lowerCAmelCase							)
        result *= frac.denominator / frac.numerator
    return int(__lowerCAmelCase							)


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



