"""simple docstring"""


import functools
from math import sqrt
from time import time


def   __UpperCAmelCase     (	_snake_case		:       Union[str, Any],				*_snake_case		:       Union[str, Any],				**_snake_case		:       Optional[int]       ):
   _lowercase							     =       time()
   _lowercase							     =       func(*_snake_case,				**_snake_case       )
   _lowercase							     =       time()
   if int(end - start       ) > 0:
      print(f"""{func.__name__} runtime: {(end - start):0.4f} s"""       )
   else:
      print(f"""{func.__name__} runtime: {(end - start) * 1_0_0_0:0.4f} ms"""       )
   return output


def   __UpperCAmelCase     (	_snake_case		:       int       ):
   if n < 0:
      raise Exception("n is negative"       )
   if n == 0:
      return [0]
   _lowercase							     =       [0, 1]
   for _ in range(n - 1       ):
      fib.append(fib[-1] + fib[-2]       )
   return fib


def   __UpperCAmelCase     (	_snake_case		:       int       ):

   def fib_recursive_term(_snake_case		:       int       ) -> int:
      if i < 0:
         raise Exception("n is negative"       )
      if i < 2:
         return i
      return fib_recursive_term(i - 1       ) + fib_recursive_term(i - 2       )

   if n < 0:
      raise Exception("n is negative"       )
   return [fib_recursive_term(_snake_case       ) for i in range(n + 1       )]


def   __UpperCAmelCase     (	_snake_case		:       int       ):

   @functools.cache
   def fib_recursive_term(_snake_case		:       int       ) -> int:
      if i < 0:
         raise Exception("n is negative"       )
      if i < 2:
         return i
      return fib_recursive_term(i - 1       ) + fib_recursive_term(i - 2       )

   if n < 0:
      raise Exception("n is negative"       )
   return [fib_recursive_term(_snake_case       ) for i in range(n + 1       )]


def   __UpperCAmelCase     (	_snake_case		:       int       ):
   if n < 0:
      raise Exception("n is negative"       )
   # Cache must be outside recursuive function
   # other it will reset every time it calls itself.
   _lowercase							     =       {0: 0, 1: 1, 2: 1}  # Prefilled cache

   def rec_fn_memoized(_snake_case		:       int       ) -> int:
      if num in cache:
         return cache[num]

      _lowercase							     =       rec_fn_memoized(num - 1       ) + rec_fn_memoized(num - 2       )
      _lowercase							     =       value
      return value

   return [rec_fn_memoized(_snake_case       ) for i in range(n + 1       )]


def   __UpperCAmelCase     (	_snake_case		:       int       ):
   if n < 0:
      raise Exception("n is negative"       )
   if n >= 1_4_7_5:
      raise Exception("n is too large"       )
   _lowercase							     =       sqrt(5       )
   _lowercase							     =       (1 + sqrt_a) / 2
   return [round(phi**i / sqrt_a       ) for i in range(n + 1       )]


if __name__ == "__main__":
  __UpperCamelCase       :    Optional[int]         =		3_0
  time_func(fib_iterative, num)
  time_func(fib_recursive, num)  # Around 3s runtime
  time_func(fib_recursive_cached, num)  # Around 0ms runtime
  time_func(fib_memoization, num)
  time_func(fib_binet, num)
"""simple docstring"""


from .number_theory.prime_numbers import next_prime
class   UpperCAmelCase_	:
    def __init__(	self			:       str   ,						_lowercase			:       int   ,						_lowercase			:       int | None = None   ,						_lowercase			:       float | None = None   ,						)						->    None:
       _lowercase							     =       size_table
       _lowercase							     =       [None] * self.size_table
       _lowercase							     =       0.75 if lim_charge is None else lim_charge
       _lowercase							     =       1 if charge_factor is None else charge_factor
       _lowercase							     =       []
       _lowercase							     =       {}
    def 		_lowerCamelCase      (	self			:       Any		)						->    Optional[Any]:
       return self._keys
    def 		_lowerCamelCase      (	self			:       Dict		)						->    Dict:
       return sum(1 for slot in self.values if slot is not None		) / (
           self.size_table * self.charge_factor
       )
    def 		_lowerCamelCase      (	self			:       Union[str, Any]   ,						_lowercase			:       List[str]		)						->    str:
       return key % self.size_table
    def 		_lowerCamelCase      (	self			:       Any   ,						_lowercase			:       Union[str, Any]		)						->    Optional[Any]:
       print(f"""step {step_ord}"""		)
       print(list(range(len(self.values		)		)		)		)
       print(self.values		)
    def 		_lowerCamelCase      (	self			:       str   ,						_lowercase			:       List[Any]		)						->    List[Any]:
       _lowercase							     =       1
       _lowercase							     =       values
       for value in values:
          self.insert_data(_lowercase		)
          self._step_by_step(_lowercase		)
          i += 1
    def 		_lowerCamelCase      (	self			:       Union[str, Any]   ,						_lowercase			:       Optional[int]   ,						_lowercase			:       Union[str, Any]		)						->    List[Any]:
       _lowercase							     =       data
       _lowercase							     =       data
    def 		_lowerCamelCase      (	self			:       int   ,						_lowercase			:       Optional[Any]   ,						_lowercase			:       Tuple=None		)						->    Any:
       _lowercase							     =       self.hash_function(key + 1		)

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

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




    def 		_lowerCamelCase      (	self			:       Union[str, Any]   ,						_lowercase			:       Tuple		)						->    Optional[int]:
       _lowercase							     =       self.hash_function(_lowercase		)

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

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

       else:
          _lowercase							     =       self._collision_resolution(_lowercase   ,						_lowercase		)
          if collision_resolution is not None:
             self._set_value(_lowercase   ,						_lowercase		)
          else:
             self.rehashing()
             self.insert_data(_lowercase		)