





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 SCREAMING_SNAKE_CASE_  :
						# setable values
						__magic_name__:     Optional[int]	 =    None
						__magic_name__:     Optional[jnp.ndarray]	 =    None
						__magic_name__:     Optional[jnp.ndarray]	 =    None  # sigma(t_i)






						@classmethod
						def UpperCAmelCase_			( cls : Optional[int]		)							->      int:







							"""simple docstring"""


							return cls()
@dataclass
class SCREAMING_SNAKE_CASE_  (   snake_case_   ):
						__magic_name__:     jnp.ndarray
						__magic_name__:     jnp.ndarray
						__magic_name__:     KarrasVeSchedulerState
class SCREAMING_SNAKE_CASE_  (   snake_case_    ,			snake_case_   ):






						@property
						def UpperCAmelCase_			( self : Union[str, Any]		)							->      Dict:







							"""simple docstring"""


							return True






						@register_to_config
						def __init__( self : str						,				_A : float = 0.0_2						,				_A : float = 100						,				_A : float = 1.0_0_7						,				_A : float = 80						,				_A : float = 0.0_5						,				_A : float = 50						,				)							->      Optional[Any]:







							"""simple docstring"""


							pass






						def UpperCAmelCase_			( self : List[Any]		)							->      List[str]:







							"""simple docstring"""


							return KarrasVeSchedulerState.create()






						def UpperCAmelCase_			( self : Any						,				_A : KarrasVeSchedulerState						,				_A : int						,				_A : Tuple = ()		)							->      KarrasVeSchedulerState:







							"""simple docstring"""


							snake_case_						:     Tuple     =		jnp.arange(0						,				_A		)[::-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=_A						,				schedule=jnp.array(_A						,				dtype=jnp.floataa		)						,				timesteps=_A						,				)






						def UpperCAmelCase_			( self : str						,				_A : KarrasVeSchedulerState						,				_A : jnp.ndarray						,				_A : float						,				_A : random.KeyArray						,				)							->      Tuple[jnp.ndarray, float]:







							"""simple docstring"""


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

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

							return sample_hat, sigma_hat






						def UpperCAmelCase_			( self : Dict						,				_A : KarrasVeSchedulerState						,				_A : jnp.ndarray						,				_A : float						,				_A : float						,				_A : jnp.ndarray						,				_A : bool = True						,				)							->      Union[FlaxKarrasVeOutput, Tuple]:







							"""simple docstring"""


							snake_case_						:     Tuple     =		sample_hat + sigma_hat * model_output
							snake_case_						:     str     =		(sample_hat - pred_original_sample) / sigma_hat
							snake_case_						:     Optional[Any]     =		sample_hat + (sigma_prev - sigma_hat) * derivative

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

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






						def UpperCAmelCase_			( self : Optional[Any]						,				_A : KarrasVeSchedulerState						,				_A : jnp.ndarray						,				_A : float						,				_A : float						,				_A : jnp.ndarray						,				_A : jnp.ndarray						,				_A : jnp.ndarray						,				_A : bool = True						,				)							->      Union[FlaxKarrasVeOutput, Tuple]:







							"""simple docstring"""


							snake_case_						:     Union[str, Any]     =		sample_prev + sigma_prev * model_output
							snake_case_						:     Tuple     =		(sample_prev - pred_original_sample) / sigma_prev
							snake_case_						:     List[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=_A						,				derivative=_A						,				state=_A		)






						def UpperCAmelCase_			( self : Optional[int]						,				_A : KarrasVeSchedulerState						,				_A : Dict						,				_A : Any						,				_A : Dict		)							->      Optional[int]:







							"""simple docstring"""


							raise NotImplementedError()








def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):
	snake_case_						:     Optional[int]     =		int(__a				)

	# Initialize Result
	snake_case_						:     Tuple     =		[]

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

	return answer


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

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

