

'''simple docstring'''

lowercase__            =     [0.33, 0.44, 0.55, 0.44, 0.33]
lowercase__            =     3
lowercase__            =     5

# Buffer Space (with Parameters Space)
lowercase__            =     []
lowercase__            =     []

# Machine Time
lowercase__            =     0




def  UpperCamelCase(	UpperCAmelCase_      ):
 global buffer_space, params_space, machine_time, K, m, t

 # Choosing Dynamical Systems (All)
 for key, value in enumerate(UpperCAmelCase_      ):
  # Evolution Parameter
  UpperCAmelCase			:      Union[str, Any]		   =					float(seed / value      )

  # Control Theory: Orbit Change
  UpperCAmelCase			:      Dict		   =					(buffer_space[(key + 1) % m] + e) % 1

  # Control Theory: Trajectory Change
  UpperCAmelCase			:      Tuple		   =					(params_space[key] + e) % 1 + 3

  # Modification (Transition Function) - Jumps
  UpperCAmelCase			:      List[Any]		   =					round(float(r * value * (1 - value)      )    ,			10      )
  UpperCAmelCase			:      str		   =					r  # Saving to Parameters Space

 # Logistic Map
 assert max(UpperCAmelCase_      ) < 1
 assert max(UpperCAmelCase_      ) < 4

 # Machine Time
 machine_time += 1




def  UpperCamelCase(	):
 global buffer_space, params_space, machine_time, K, m, t

 # PRNG (Xorshift by George Marsaglia)
 def xorshift(UpperCAmelCase_    ,			UpperCAmelCase_      ):
  x ^= y >> 13
  y ^= x << 17
  x ^= y >> 5
  return x

 # Choosing Dynamical Systems (Increment)
 UpperCAmelCase			:      Any		   =					machine_time % m

 # Evolution (Time Length)
 for _ in range(0    ,			UpperCAmelCase_      ):
  # Variables (Position + Parameters)
  UpperCAmelCase			:      Optional[int]		   =					params_space[key]
  UpperCAmelCase			:      str		   =					buffer_space[key]

  # Modification (Transition Function) - Flow
  UpperCAmelCase			:      Dict		   =					round(float(r * value * (1 - value)      )    ,			10      )
  UpperCAmelCase			:      Optional[int]		   =					(machine_time * 0.01 + r * 1.01) % 1 + 3

 # Choosing Chaotic Data
 UpperCAmelCase			:      List[Any]		   =					int(buffer_space[(key + 2) % m] * (10**10)      )
 UpperCAmelCase			:      Optional[int]		   =					int(buffer_space[(key - 2) % m] * (10**10)      )

 # Machine Time
 machine_time += 1

 return xorshift(UpperCAmelCase_    ,			UpperCAmelCase_      ) % 0xf_f_f_f_f_f_f_f




def  UpperCamelCase(	):
 global buffer_space, params_space, machine_time, K, m, t

 UpperCAmelCase			:      Any		   =					K
 UpperCAmelCase			:      Dict		   =					[0] * m
 UpperCAmelCase			:      Union[str, Any]		   =					0


if __name__ == "__main__":
 # Initialization
 reset()

 # Pushing Data (Input)
 import random

 lowercase__            =     random.sample(range(0xff_ff_ff_ff), 100)
 for chunk in message:
  push(chunk)

 # for controlling
 lowercase__            =     ""

 # Pulling Data (Output)
 while inp in ("e", "E"):
  print(f'''{format(pull(), '#04x')}''')
  print(buffer_space)
  print(params_space)
  lowercase__            =     input("(e)exit? ").strip()







'''simple docstring'''

def  UpperCamelCase(	UpperCAmelCase_ = 1_00      ):
 UpperCAmelCase			:      Optional[Any]		   =					[[0 for _ in range(UpperCAmelCase_      )] for _ in range(m + 1      )]
 for i in range(m + 1      ):
  UpperCAmelCase			:      Optional[int]		   =					1

 for n in range(m + 1      ):
  for k in range(1    ,			UpperCAmelCase_      ):
   memo[n][k] += memo[n][k - 1]
   if n > k:
    memo[n][k] += memo[n - k - 1][k]

 return memo[m][m - 1] - 1


if __name__ == "__main__":
 print(solution(int(input("Enter a number: ").strip())))




