




def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_						)       ->	list[int]:



       """simple docstring"""

       A__							=   int(lowercase_						)

       # Initialize Result
       A__							=   []

       # Traverse through all denomination
       for denomination in reversed(lowercase_						):
              # Find denominations
              while int(lowercase_						) >= int(lowercase_						):
                     total_value -= int(lowercase_						)
                     answer.append(lowercase_						)  # Append the "answers" array

       return answer


# Driver Code
if __name__ == "__main__":
  _lowerCamelCase     :		Any								=       []
  _lowerCamelCase     :		int								=       """0"""

  if (
      input("""Do you want to enter your denominations ? (yY/n): """).strip().lower()
      == "y"
  ):
    _lowerCamelCase     :		Union[str, Any]								=       int(input("""Enter the number of denominations you want to add: """).strip())

    for i in range(0, n):
      denominations.append(int(input(F'''Denomination {i}: ''').strip()))
    _lowerCamelCase     :		Dict								=       input("""Enter the change you want to make in Indian Currency: """).strip()
  else:
    # All denominations of Indian Currency if user does not enter
    _lowerCamelCase     :		Optional[Any]								=       [1, 2, 5, 10, 20, 50, 100, 500, 2000]
    _lowerCamelCase     :		Optional[Any]								=       input("""Enter the change you want to make: """).strip()

  if int(value) == 0 or int(value) < 0:
    print("""The total value cannot be zero or negative.""")

  else:
    print(F'''Following is minimal change for {value}: ''')
    _lowerCamelCase     :		Optional[int]								=       find_minimum_change(denominations, value)
    # Print result
    for i in range(len(answer)):
      print(answer[i], end=""" """)








from __future__ import annotations

from math import pi
from typing import Protocol

import matplotlib.pyplot as plt
import numpy as np


class     UpperCamelCase_   (			UpperCAmelCase__					):

    '''simple docstring'''






    def 	SCREAMING_SNAKE_CASE							(      self				:     Optional[int] ,			UpperCAmelCase__				:     float)						->float:





           '''simple docstring'''

           return 0.0







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_						)       ->	tuple[int | float, int | float]:



       """simple docstring"""

       A__							=   min([-20, np.min(fft_results[1 : samplerate // 2 - 1]						)]						)
       A__							=   max([20, np.max(fft_results[1 : samplerate // 2 - 1]						)]						)
       return lowest, highest







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_						)       ->	None:



       """simple docstring"""

       A__							=   512
       A__							=   [1] + [0] * (size - 1)
       A__							=   [filter_type.process(lowercase_						) for item in inputs]

       A__							=   [0] * (samplerate - size)  # zero-padding
       outputs += filler
       A__							=   np.abs(np.fft.fft(lowercase_						)						)
       A__							=   20 * np.logaa(lowercase_						)

       # Frequencies on log scale from 24 to nyquist frequency
       plt.xlim(24			,    samplerate / 2 - 1						)
       plt.xlabel('''Frequency (Hz)'''						)
       plt.xscale('''log'''						)

       # Display within reasonable bounds
       A__							=   get_bounds(lowercase_			,    lowercase_						)
       plt.ylim(max([-80, bounds[0]]						)			,    min([80, bounds[1]]						)						)
       plt.ylabel('''Gain (dB)'''						)

       plt.plot(lowercase_						)
       plt.show()







def SCREAMING_SNAKE_CASE    (	lowercase_			,    lowercase_						)       ->	None:



       """simple docstring"""

       A__							=   512
       A__							=   [1] + [0] * (size - 1)
       A__							=   [filter_type.process(lowercase_						) for item in inputs]

       A__							=   [0] * (samplerate - size)  # zero-padding
       outputs += filler
       A__							=   np.angle(np.fft.fft(lowercase_						)						)

       # Frequencies on log scale from 24 to nyquist frequency
       plt.xlim(24			,    samplerate / 2 - 1						)
       plt.xlabel('''Frequency (Hz)'''						)
       plt.xscale('''log'''						)

       plt.ylim(-2 * pi			,    2 * pi						)
       plt.ylabel('''Phase shift (Radians)'''						)
       plt.plot(np.unwrap(lowercase_			,    -2 * pi						)						)
       plt.show()


