


"""simple docstring"""
from .number_theory.prime_numbers import next_prime




class   lowercase__							:





   def __init__(       self			,      SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE = None			,      SCREAMING_SNAKE_CASE = None			,      )     ->     None:
      _lowerCamelCase  :				Optional[Any]      =		size_table
      _lowerCamelCase  :				Tuple      =		[None] * self.size_table
      _lowerCamelCase  :				Any      =		0.75 if lim_charge is None else lim_charge
      _lowerCamelCase  :				List[str]      =		1 if charge_factor is None else charge_factor
      _lowerCamelCase  :				list      =		[]
      _lowerCamelCase  :				dict      =		{}





   def 		UpperCamelCase_     (       self)     ->     List[str]:
      return self._keys





   def 		UpperCamelCase_     (       self)     ->     Dict:
      return sum(1 for slot in self.values if slot is not None) / (
          self.size_table * self.charge_factor
      )





   def 		UpperCamelCase_     (       self			,      SCREAMING_SNAKE_CASE)     ->     Any:
      return key % self.size_table





   def 		UpperCamelCase_     (       self			,      SCREAMING_SNAKE_CASE)     ->     List[str]:
      print(F'step {step_ord}')
      print(list(range(len(self.values))))
      print(self.values)





   def 		UpperCamelCase_     (       self			,      SCREAMING_SNAKE_CASE)     ->     Optional[Any]:
      _lowerCamelCase  :				Dict      =		1
      _lowerCamelCase  :				int      =		values
      for value in values:
         self.insert_data(SCREAMING_SNAKE_CASE)
         self._step_by_step(SCREAMING_SNAKE_CASE)
         i += 1





   def 		UpperCamelCase_     (       self			,      SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE)     ->     Optional[int]:
      _lowerCamelCase  :				List[Any]      =		data
      _lowerCamelCase  :				Union[str, Any]      =		data





   def 		UpperCamelCase_     (       self			,      SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE=None)     ->     List[Any]:
      _lowerCamelCase  :				str      =		self.hash_function(key + 1)

      while self.values[new_key] is not None and self.values[new_key] != key:
         if self.values.count(SCREAMING_SNAKE_CASE) > 0:
            _lowerCamelCase  :				Optional[int]      =		self.hash_function(new_key + 1)
         else:
            _lowerCamelCase  :				Any      =		None
            break

      return new_key





   def 		UpperCamelCase_     (       self)     ->     Optional[Any]:
      _lowerCamelCase  :				Dict      =		[value for value in self.values if value is not None]
      _lowerCamelCase  :				str      =		next_prime(self.size_table			,      factor=2)
      self._keys.clear()
      _lowerCamelCase  :				Dict      =		[None] * self.size_table  # hell's pointers D: don't DRY ;/
      for value in survivor_values:
         self.insert_data(SCREAMING_SNAKE_CASE)





   def 		UpperCamelCase_     (       self			,      SCREAMING_SNAKE_CASE)     ->     Any:
      _lowerCamelCase  :				Dict      =		self.hash_function(SCREAMING_SNAKE_CASE)

      if self.values[key] is None:
         self._set_value(SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE)

      elif self.values[key] == data:
         pass

      else:
         _lowerCamelCase  :				List[str]      =		self._collision_resolution(SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE)
         if collision_resolution is not None:
            self._set_value(SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE)
         else:
            self.rehashing()
            self.insert_data(SCREAMING_SNAKE_CASE)





"""simple docstring"""
import timeit




class   lowercase__							:





   def __init__(       self			,      SCREAMING_SNAKE_CASE)     ->     Tuple:
      if isinstance(SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE):  # Initializes a matrix identical to the one provided.
         _lowerCamelCase  :				List[str]      =		arg
         _lowerCamelCase  :				List[str]      =		len(SCREAMING_SNAKE_CASE)
      else:  # Initializes a square matrix of the given size and set values to zero.
         _lowerCamelCase  :				List[Any]      =		arg
         _lowerCamelCase  :				Union[str, Any]      =		[[0 for _ in range(self.n)] for _ in range(self.n)]





   def __mul__(       self			,      SCREAMING_SNAKE_CASE)     ->     Optional[Any]:
      _lowerCamelCase  :				List[Any]      =		Matrix(self.n)
      for i in range(self.n):
         for j in range(self.n):
            for k in range(self.n):
               matrix.t[i][j] += self.t[i][k] * b.t[k][j]
      return matrix







def 							_snake_case			(      __snake_case       :			Union[str, Any]	,   __snake_case       :			List[Any]      ):




   """simple docstring"""







   _lowerCamelCase  :				List[Any]      =		Matrix([[1, 0], [0, 1]]      )
   while b > 0:
      if b & 1:
         matrix *= a
      a *= a
      b >>= 1
   return matrix

def 							_snake_case			(      __snake_case       :			List[str]	,   __snake_case       :			str	,   __snake_case       :			List[Any]      ):




   """simple docstring"""







   if n == 1:
      return fa
   elif n == 2:
      return fa
   _lowerCamelCase  :				Any      =		Matrix([[1, 1], [1, 0]]      )
   _lowerCamelCase  :				List[str]      =		modular_exponentiation(__snake_case	,   n - 2      )
   return fa * matrix.t[0][0] + fa * matrix.t[0][1]

def 							_snake_case			(      __snake_case       :			int	,   __snake_case       :			Optional[int]	,   __snake_case       :			List[Any]      ):




   """simple docstring"""







   if n == 1:
      return fa
   elif n == 2:
      return fa

   _lowerCamelCase  :				Optional[Any]      =		fa
   _lowerCamelCase  :				int      =		fa
   n -= 2

   while n > 0:
      _lowerCamelCase      ,						_lowerCamelCase  :				Tuple      =		fn_a + fn_a, fn_a
      n -= 1

   return fn_a

def 							_snake_case			(      ):




   """simple docstring"""







   _lowerCamelCase  :				List[str]      =		"""
from random import randint
from __main__ import fibonacci_with_matrix_exponentiation
"""
   _lowerCamelCase  :				int      =		"""fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)"""
   _lowerCamelCase  :				Tuple      =		timeit.timeit(setup=__snake_case	,   stmt=__snake_case	,   number=100      )
   print("""With matrix exponentiation the average execution time is """	,   exec_time / 100      )
   return exec_time

def 							_snake_case			(      ):




   """simple docstring"""







   _lowerCamelCase  :				Dict      =		"""
from random import randint
from __main__ import simple_fibonacci
"""
   _lowerCamelCase  :				Optional[int]      =		"""simple_fibonacci(randint(1,70000), 1, 1)"""
   _lowerCamelCase  :				List[Any]      =		timeit.timeit(setup=__snake_case	,   stmt=__snake_case	,   number=100      )
   print(
       """Without matrix exponentiation the average execution time is """	,   exec_time / 100      )
   return exec_time

def 							_snake_case			(      ):




   """simple docstring"""







   matrix_exponentiation_time()
   simple_fibonacci_time()


if __name__ == "__main__":
 main()

