



'''simple docstring'''





def 							lowerCamelCase	(					_snake_case	:    str  ,_snake_case	:    str							):





    '''simple docstring'''


    assert x is not None
    assert y is not None

    lowercase__									=    len(__lowerCAmelCase							)
    lowercase__									=    len(__lowerCAmelCase							)

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

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

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

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

        if l[i][j] == l[i - 1][j - 1] + match:
            if match == 1:
                lowercase__									=    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__":
 SCREAMING_SNAKE_CASE__          =  "AGGTAB"
 SCREAMING_SNAKE_CASE__          =  "GXTXAYB"
 SCREAMING_SNAKE_CASE__          =  4
 SCREAMING_SNAKE_CASE__          =  "GTAB"

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

 doctest.testmod()












UpperCamelCase    							=      8.3_144_598


def 				__lowerCamelCase     (							__lowerCAmelCase							:					float					,							__lowerCAmelCase							:					float							)     ->  float:
   if temperature < 0:
      raise Exception("""Temperature cannot be less than 0 K"""							)
   if molar_mass <= 0:
      raise Exception("""Molar mass cannot be less than or equal to 0 kg/mol"""							)
   else:
      return (3 * UNIVERSAL_GAS_CONSTANT * temperature / molar_mass) ** 0.5


if __name__ == "__main__":
       import doctest

       # run doctest
       doctest.testmod()

       # example
       UpperCamelCase    							=      300
       UpperCamelCase    							=      28
       UpperCamelCase    							=      rms_speed_of_molecule(temperature, molar_mass)
       print(F"""Vrms of Nitrogen gas at 300 K is {vrms} m/s""")



