






'''simple docstring'''

import string

# frequency taken from https://en.wikipedia.org/wiki/Letter_frequency
UpperCamelCase      					={
    "E": 1_2.7_0,
    "T": 9.0_6,
    "A": 8.1_7,
    "O": 7.5_1,
    "I": 6.9_7,
    "N": 6.7_5,
    "S": 6.3_3,
    "H": 6.0_9,
    "R": 5.9_9,
    "D": 4.2_5,
    "L": 4.0_3,
    "C": 2.7_8,
    "U": 2.7_6,
    "M": 2.4_1,
    "W": 2.3_6,
    "F": 2.2_3,
    "G": 2.0_2,
    "Y": 1.9_7,
    "P": 1.9_3,
    "B": 1.2_9,
    "V": 0.9_8,
    "K": 0.7_7,
    "J": 0.1_5,
    "X": 0.1_5,
    "Q": 0.1_0,
    "Z": 0.0_7,
}
UpperCamelCase      					="ETAOINSHRDLCUMWFGYPBVKJXQZ"
UpperCamelCase      					="ABCDEFGHIJKLMNOPQRSTUVWXYZ"



def 				snake_case       (  a_				:			str						)							->					dict[str, int]:





      """simple docstring"""

      UpperCamelCase_					: Union[str, Any]            =				{letter: 0 for letter in string.ascii_uppercase}
      for letter in message.upper():
            if letter in LETTERS:
                  letter_count[letter] += 1

      return letter_count



def 				snake_case       (  a_				:			tuple						)							->					str:





      """simple docstring"""

      return x[0]



def 				snake_case       (  a_				:			str						)							->					str:





      """simple docstring"""

      UpperCamelCase_					: List[Any]            =				get_letter_count(a_						)
      UpperCamelCase_					: dict[int, list[str]]            =				{
          freq: [] for letter, freq in letter_to_freq.items()
      }
      for letter in LETTERS:
            freq_to_letter[letter_to_freq[letter]].append(a_						)

      UpperCamelCase_					: dict[int, str]            =				{}

      for freq in freq_to_letter:
            freq_to_letter[freq].sort(key=ETAOIN.find     , reverse=a_						)
            UpperCamelCase_					: Union[str, Any]            =				"""""".join(freq_to_letter[freq]						)

      UpperCamelCase_					: Tuple            =				list(freq_to_letter_str.items()						)
      freq_pairs.sort(key=a_     , reverse=a_						)

      UpperCamelCase_					: list[str]            =				[freq_pair[1] for freq_pair in freq_pairs]

      return "".join(a_						)



def 				snake_case       (  a_				:			str						)							->					int:





      """simple docstring"""

      UpperCamelCase_					: Tuple            =				get_frequency_order(a_						)
      UpperCamelCase_					: Union[str, Any]            =				0
      for common_letter in ETAOIN[:6]:
            if common_letter in freq_order[:6]:
                  match_score += 1

      for uncommon_letter in ETAOIN[-6:]:
            if uncommon_letter in freq_order[-6:]:
                  match_score += 1

      return match_score


if __name__ == "__main__":
      import doctest

      doctest.testmod()














'''simple docstring'''

def 				snake_case       (  a_				:			list[int]     , a_				:			list[int]						)							->					tuple[float, float]:





      """simple docstring"""

      if not len(a_						) == len(a_						) == 3:
            raise ValueError("""Please enter a valid equation."""						)
      if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
            raise ValueError("""Both a & b of two equations can't be zero."""						)

      # Extract the coefficients
      UpperCamelCase_     ,      UpperCamelCase_     ,      UpperCamelCase_					: Optional[int]            =				equationa
      UpperCamelCase_     ,      UpperCamelCase_     ,      UpperCamelCase_					: List[str]            =				equationa

      # Calculate the determinants of the matrices
      UpperCamelCase_					: Union[str, Any]            =				aa * ba - aa * ba
      UpperCamelCase_					: Dict            =				ca * ba - ca * ba
      UpperCamelCase_					: Dict            =				aa * ca - aa * ca

      # Check if the system of linear equations has a solution (using Cramer's rule)
      if determinant == 0:
            if determinant_x == determinant_y == 0:
                  raise ValueError("""Infinite solutions. (Consistent system)"""						)
            else:
                  raise ValueError("""No solution. (Inconsistent system)"""						)
      else:
            if determinant_x == determinant_y == 0:
                  # Trivial solution (Inconsistent system)
                  return (0.0, 0.0)
            else:
                  UpperCamelCase_					: List[Any]            =				determinant_x / determinant
                  UpperCamelCase_					: List[str]            =				determinant_y / determinant
                  # Non-Trivial Solution (Consistent system)
                  return (x, y)






