


import numpy as np
import skfuzzy as fuzz

if __name__ == "__main__":
						# Create universe of discourse in Python using linspace ()
						_UpperCAmelCase	:     Tuple   =np.linspace(start=0, stop=75, num=75, endpoint=True, retstep=False)

						# Create two fuzzy sets by defining any membership function
						# (trapmf(), gbellmf(), gaussmf(), etc).
						_UpperCAmelCase	:     int   =[0, 25, 50]
						_UpperCAmelCase	:     List[Any]   =[25, 50, 75]
						_UpperCAmelCase	:     Tuple   =fuzz.membership.trimf(X, abca)
						_UpperCAmelCase	:     List[Any]   =fuzz.membership.trimf(X, abca)

						# Compute the different operations using inbuilt functions.
						_UpperCAmelCase	:     Tuple   =np.ones(75)
						_UpperCAmelCase	:     str   =np.zeros((75,))
						# 1. Union = max(µA(x), µB(x))
						_UpperCAmelCase	:     Any   =fuzz.fuzzy_or(X, young, X, middle_aged)[1]
						# 2. Intersection = min(µA(x), µB(x))
						_UpperCAmelCase	:     int   =fuzz.fuzzy_and(X, young, X, middle_aged)[1]
						# 3. Complement (A) = (1- min(µA(x))
						_UpperCAmelCase	:     int   =fuzz.fuzzy_not(young)
						# 4. Difference (A/B) = min(µA(x),(1- µB(x)))
						_UpperCAmelCase	:     Union[str, Any]   =fuzz.fuzzy_and(X, young, X, fuzz.fuzzy_not(middle_aged)[1])[1]
						# 5. Algebraic Sum = [µA(x) + µB(x) – (µA(x) * µB(x))]
						_UpperCAmelCase	:     List[str]   =young + middle_aged - (young * middle_aged)
						# 6. Algebraic Product = (µA(x) * µB(x))
						_UpperCAmelCase	:     str   =young * middle_aged
						# 7. Bounded Sum = min[1,(µA(x), µB(x))]
						_UpperCAmelCase	:     Dict   =fuzz.fuzzy_and(X, one, X, young + middle_aged)[1]
						# 8. Bounded difference = min[0,(µA(x), µB(x))]
						_UpperCAmelCase	:     Tuple   =fuzz.fuzzy_or(X, zero, X, young - middle_aged)[1]

						# max-min composition
						# max-product composition

						# Plot each set A, set B and each operation result using plot() and subplot().
						from matplotlib import pyplot as plt

						plt.figure()

						plt.subplot(4, 3, 1)
						plt.plot(X, young)
						plt.title("""Young""")
						plt.grid(True)

						plt.subplot(4, 3, 2)
						plt.plot(X, middle_aged)
						plt.title("""Middle aged""")
						plt.grid(True)

						plt.subplot(4, 3, 3)
						plt.plot(X, union)
						plt.title("""union""")
						plt.grid(True)

						plt.subplot(4, 3, 4)
						plt.plot(X, intersection)
						plt.title("""intersection""")
						plt.grid(True)

						plt.subplot(4, 3, 5)
						plt.plot(X, complement_a)
						plt.title("""complement_a""")
						plt.grid(True)

						plt.subplot(4, 3, 6)
						plt.plot(X, difference)
						plt.title("""difference a/b""")
						plt.grid(True)

						plt.subplot(4, 3, 7)
						plt.plot(X, alg_sum)
						plt.title("""alg_sum""")
						plt.grid(True)

						plt.subplot(4, 3, 8)
						plt.plot(X, alg_product)
						plt.title("""alg_product""")
						plt.grid(True)

						plt.subplot(4, 3, 9)
						plt.plot(X, bdd_sum)
						plt.title("""bdd_sum""")
						plt.grid(True)

						plt.subplot(4, 3, 10)
						plt.plot(X, bdd_difference)
						plt.title("""bdd_difference""")
						plt.grid(True)

						plt.subplots_adjust(hspace=0.5)
						plt.show()






"""simple docstring"""
def      __lowerCamelCase   (							a_     :		Union[str, Any]							)			->      Optional[int]:
      __SCREAMING_SNAKE_CASE   :List[str]						=  1
      __SCREAMING_SNAKE_CASE   :Dict						=  2
      while i * i <= n:
            __SCREAMING_SNAKE_CASE   :Tuple						=  0
            while n % i == 0:
                  n //= i
                  multiplicity += 1
            n_divisors *= multiplicity + 1
            i += 1
      if n > 1:
            n_divisors *= 2
      return n_divisors



def      __lowerCamelCase   (							)			->      int:
      __SCREAMING_SNAKE_CASE   :Dict						=  1
      __SCREAMING_SNAKE_CASE   :Dict						=  1

      while True:
            i += 1
            t_num += i

            if count_divisors(a_							) > 5_00:
                  break

      return t_num


if __name__ == "__main__":
  print(solution())