




"""simple docstring"""


from dataclasses import dataclass
from typing import Optional, Tuple, Union

import flax
import jax.numpy as jnp
from jax import random

from ..configuration_utils import ConfigMixin, register_to_config
from ..utils import BaseOutput
from .scheduling_utils_flax import FlaxSchedulerMixin






@flax.struct.dataclass
class       lowercase:







 '''simple docstring'''





 lowercase__				      =      None
 lowercase__				      =      None
 lowercase__				      =      None  # sigma(t_i)


 @classmethod
 def 				UpperCamelCase_     (       cls:	Optional[Any]	):




   '''simple docstring'''



   return cls()







@dataclass
class       lowercase(  lowerCAmelCase__				):







 '''simple docstring'''





 lowercase__				      =      42
 lowercase__				      =      42
 lowercase__				      =      42







class       lowercase(  lowerCAmelCase__ ,    lowerCAmelCase__				):







 '''simple docstring'''





 @property
 def 				UpperCamelCase_     (       self:	str	):




   '''simple docstring'''



   return True


 @register_to_config
 def __init__(       self:	int,   a_:	Dict = 0.02,   a_:	List[Any] = 100,   a_:	Any = 1.007,   a_:	List[Any] = 80,   a_:	str = 0.05,   a_:	Dict = 50,   ):




   '''simple docstring'''



   pass


 def 				UpperCamelCase_     (       self:	List[Any]	):




   '''simple docstring'''



   return KarrasVeSchedulerState.create()


 def 				UpperCamelCase_     (       self:	List[str],   a_:	List[Any],   a_:	str,   a_:	int = ()	):




   '''simple docstring'''



   _snake_case							:	Dict			=						jnp.arange(0,   _SCREAMING_SNAKE_CASE	)[::-1].copy()
   _snake_case							:	Optional[Any]			=						[
       (
           self.config.sigma_max**2
           * (self.config.sigma_min**2 / self.config.sigma_max**2) ** (i / (num_inference_steps - 1))
       )
       for i in timesteps
   ]

   return state.replace(
       num_inference_steps=_SCREAMING_SNAKE_CASE,   schedule=jnp.array(_SCREAMING_SNAKE_CASE,   dtype=jnp.floataa	),   timesteps=_SCREAMING_SNAKE_CASE,   )


 def 				UpperCamelCase_     (       self:	Union[str, Any],   a_:	Any,   a_:	Any,   a_:	Union[str, Any],   a_:	Dict,   ):




   '''simple docstring'''



   if self.config.s_min <= sigma <= self.config.s_max:
     _snake_case							:	Optional[Any]			=						min(self.config.s_churn / state.num_inference_steps,   2**0.5 - 1	)
   else:
     _snake_case							:	List[Any]			=						0

   # sample eps ~ N(0, S_noise^2 * I)
   _snake_case							:	str			=						random.split(_SCREAMING_SNAKE_CASE,   num=1	)
   _snake_case							:	Optional[Any]			=						self.config.s_noise * random.normal(key=_SCREAMING_SNAKE_CASE,   shape=sample.shape	)
   _snake_case							:	Tuple			=						sigma + gamma * sigma
   _snake_case							:	Optional[Any]			=						sample + ((sigma_hat**2 - sigma**2) ** 0.5 * eps)

   return sample_hat, sigma_hat


 def 				UpperCamelCase_     (       self:	Any,   a_:	Optional[int],   a_:	int,   a_:	Tuple,   a_:	List[Any],   a_:	int,   a_:	Optional[int] = True,   ):




   '''simple docstring'''



   _snake_case							:	Dict			=						sample_hat + sigma_hat * model_output
   _snake_case							:	Dict			=						(sample_hat - pred_original_sample) / sigma_hat
   _snake_case							:	Optional[int]			=						sample_hat + (sigma_prev - sigma_hat) * derivative

   if not return_dict:
     return (sample_prev, derivative, state)

   return FlaxKarrasVeOutput(prev_sample=_SCREAMING_SNAKE_CASE,   derivative=_SCREAMING_SNAKE_CASE,   state=_SCREAMING_SNAKE_CASE	)


 def 				UpperCamelCase_     (       self:	Union[str, Any],   a_:	Optional[Any],   a_:	Union[str, Any],   a_:	str,   a_:	List[Any],   a_:	Union[str, Any],   a_:	Optional[int],   a_:	Optional[int],   a_:	List[Any] = True,   ):




   '''simple docstring'''



   _snake_case							:	str			=						sample_prev + sigma_prev * model_output
   _snake_case							:	Optional[Any]			=						(sample_prev - pred_original_sample) / sigma_prev
   _snake_case							:	Union[str, Any]			=						sample_hat + (sigma_prev - sigma_hat) * (0.5 * derivative + 0.5 * derivative_corr)

   if not return_dict:
     return (sample_prev, derivative, state)

   return FlaxKarrasVeOutput(prev_sample=_SCREAMING_SNAKE_CASE,   derivative=_SCREAMING_SNAKE_CASE,   state=_SCREAMING_SNAKE_CASE	)


 def 				UpperCamelCase_     (       self:	Optional[Any],   a_:	List[str],   a_:	int,   a_:	Tuple,   a_:	Union[str, Any]	):




   '''simple docstring'''



   raise NotImplementedError()








"""simple docstring"""


def       UpperCAmelCase__ (snake_case__							:      list[int]	,     snake_case__							:      str					):
  """simple docstring"""

  _snake_case							:	str			=						int(snake_case__					)

  # Initialize Result
  _snake_case							:	str			=						[]

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

  return answer


# Driver Code
if __name__ == "__main__":
     A_      			=       []
     A_      			=       '''0'''

     if (
         input('''Do you want to enter your denominations ? (yY/n): ''').strip().lower()
         == "y"
     ):
          A_      			=       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()))
          A_      			=       input('''Enter the change you want to make in Indian Currency: ''').strip()
     else:
          # All denominations of Indian Currency if user does not enter
          A_      			=       [1, 2, 5, 10, 20, 50, 1_00, 5_00, 20_00]
          A_      			=       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}: ''')
          A_      			=       find_minimum_change(denominations, value)
          # Print result
          for i in range(len(answer)):
               print(answer[i], end=''' ''')


