
    biAy                         d dl Z d dlmZ d dlmZmZmZmZ d dlZ	d dl
Z
ddlmZmZ ddlmZ ddlmZ dd	lmZmZ e G d
 de             Z	 	 ddZd Z G d dee      Zy)    N)	dataclass)ListOptionalTupleUnion   )ConfigMixinregister_to_config)
BaseOutput)randn_tensor   )KarrasDiffusionSchedulersSchedulerMixinc                   X    e Zd ZU dZej
                  ed<   dZeej
                     ed<   y)DDPMParallelSchedulerOutputaq  
    Output class for the scheduler's `step` function output.

    Args:
        prev_sample (`torch.Tensor` of shape `(batch_size, num_channels, height, width)` for images):
            Computed sample `(x_{t-1})` of previous timestep. `prev_sample` should be used as next model input in the
            denoising loop.
        pred_original_sample (`torch.Tensor` of shape `(batch_size, num_channels, height, width)` for images):
            The predicted denoised sample `(x_{0})` based on the model output from the current timestep.
            `pred_original_sample` can be used to preview progress or for guidance.
    prev_sampleNpred_original_sample)	__name__
__module____qualname____doc__torchTensor__annotations__r   r        h/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/diffusers/schedulers/scheduling_ddpm_parallel.pyr   r      s'    
 37(5<<07r   r   c           
      $   |dk(  rd }n|dk(  rd }nt        d|       g }t        |       D ]<  }|| z  }|dz   | z  }|j                  t        d ||       ||      z  z
  |             > t	        j
                  |t        j                        S )a  
    Create a beta schedule that discretizes the given alpha_t_bar function, which defines the cumulative product of
    (1-beta) over time from t = [0,1].

    Contains a function alpha_bar that takes an argument t and transforms it to the cumulative product of (1-beta) up
    to that part of the diffusion process.


    Args:
        num_diffusion_timesteps (`int`): the number of betas to produce.
        max_beta (`float`): the maximum beta to use; use values lower than 1 to
                     prevent singularities.
        alpha_transform_type (`str`, *optional*, default to `cosine`): the type of noise schedule for alpha_bar.
                     Choose from `cosine` or `exp`

    Returns:
        betas (`np.ndarray`): the betas used by the scheduler to step the model outputs
    cosinec                 f    t        j                  | dz   dz  t         j                  z  dz        dz  S )NgMb?gT㥛 ?r   )mathcospits    r   alpha_bar_fnz)betas_for_alpha_bar.<locals>.alpha_bar_fnK   s-    88QY%/$''9A=>!CCr   expc                 2    t        j                  | dz        S )Ng      ()r!   r'   r$   s    r   r&   z)betas_for_alpha_bar.<locals>.alpha_bar_fnP   s    88AI&&r   z"Unsupported alpha_transform_type: r   dtype)
ValueErrorrangeappendminr   tensorfloat32)num_diffusion_timestepsmax_betaalpha_transform_typer&   betasit1t2s           r   betas_for_alpha_barr8   2   s    . x'	D 
	&	' =>R=STUUE*+ M((!e..S\"-R0@@@(KLM <<U]]33r   c                 (   d| z
  }t        j                  |d      }|j                         }|d   j                         }|d   j                         }||z  }||||z
  z  z  }|dz  }|dd |dd z  }t        j                  |dd |g      }d|z
  } | S )a.  
    Rescales betas to have zero terminal SNR Based on https://huggingface.co/papers/2305.08891 (Algorithm 1)


    Args:
        betas (`torch.Tensor`):
            the betas that the scheduler is being initialized with.

    Returns:
        `torch.Tensor`: rescaled betas with zero terminal SNR
          ?r   dimr   r   N)r   cumprodsqrtclonecat)r4   alphasalphas_cumprodalphas_bar_sqrtalphas_bar_sqrt_0alphas_bar_sqrt_T
alphas_bars          r   rescale_zero_terminal_snrrH   _   s     5[F]]6q1N$))+O (*002'+113 ((O (,=@Q,QRRO !!#J^j"o-FYY
1Q01FJELr   c                    N   e Zd ZdZeD  cg c]  }|j
                   c}} ZdZdZe		 	 	 	 	 	 	 	 	 	 	 	 	 	 	 d)de
dededed	eeej                   ee   f      d
edededededededede
defd       Zd*dej*                  dee
   dej*                  fdZ	 	 	 d+dee
   deeej.                  f   deee
      fdZd,dZdej*                  dej*                  fdZ	 	 d-dej*                  de
dej*                  d edeeef   f
d!Zdej*                  dee
   dej*                  dej*                  fd"Zd#ej*                  d$ej*                  dej>                  dej*                  fd%Z dej*                  d$ej*                  dej>                  dej*                  fd&Z!d' Z"d( Z#yc c}} w ).DDPMParallelSchedulera.  
    Denoising diffusion probabilistic models (DDPMs) explores the connections between denoising score matching and
    Langevin dynamics sampling.

    [`~ConfigMixin`] takes care of storing all config attributes that are passed in the scheduler's `__init__`
    function, such as `num_train_timesteps`. They can be accessed via `scheduler.config.num_train_timesteps`.
    [`SchedulerMixin`] provides general loading and saving functionality via the [`SchedulerMixin.save_pretrained`] and
    [`~SchedulerMixin.from_pretrained`] functions.

    For more details, see the original paper: https://huggingface.co/papers/2006.11239

    Args:
        num_train_timesteps (`int`): number of diffusion steps used to train the model.
        beta_start (`float`): the starting `beta` value of inference.
        beta_end (`float`): the final `beta` value.
        beta_schedule (`str`):
            the beta schedule, a mapping from a beta range to a sequence of betas for stepping the model. Choose from
            `linear`, `scaled_linear`, `squaredcos_cap_v2` or `sigmoid`.
        trained_betas (`np.ndarray`, optional):
            option to pass an array of betas directly to the constructor to bypass `beta_start`, `beta_end` etc.
        variance_type (`str`):
            options to clip the variance used when adding noise to the denoised sample. Choose from `fixed_small`,
            `fixed_small_log`, `fixed_large`, `fixed_large_log`, `learned` or `learned_range`.
        clip_sample (`bool`, default `True`):
            option to clip predicted sample for numerical stability.
        clip_sample_range (`float`, default `1.0`):
            the maximum magnitude for sample clipping. Valid only when `clip_sample=True`.
        prediction_type (`str`, default `epsilon`, optional):
            prediction type of the scheduler function, one of `epsilon` (predicting the noise of the diffusion
            process), `sample` (directly predicting the noisy sample`) or `v_prediction` (see section 2.4
            https://imagen.research.google/video/paper.pdf)
        thresholding (`bool`, default `False`):
            whether to use the "dynamic thresholding" method (introduced by Imagen,
            https://huggingface.co/papers/2205.11487). Note that the thresholding method is unsuitable for latent-space
            diffusion models (such as stable-diffusion).
        dynamic_thresholding_ratio (`float`, default `0.995`):
            the ratio for the dynamic thresholding method. Default is `0.995`, the same as Imagen
            (https://huggingface.co/papers/2205.11487). Valid only when `thresholding=True`.
        sample_max_value (`float`, default `1.0`):
            the threshold value for dynamic thresholding. Valid only when `thresholding=True`.
        timestep_spacing (`str`, default `"leading"`):
            The way the timesteps should be scaled. Refer to Table 2. of [Common Diffusion Noise Schedules and Sample
            Steps are Flawed](https://huggingface.co/papers/2305.08891) for more information.
        steps_offset (`int`, default `0`):
            An offset added to the inference steps, as required by some model families.
        rescale_betas_zero_snr (`bool`, defaults to `False`):
            Whether to rescale the betas to have zero terminal SNR. This enables the model to generate very bright and
            dark samples instead of limiting it to samples with medium brightness. Loosely related to
            [`--offset_noise`](https://github.com/huggingface/diffusers/blob/74fd735eb073eb1d774b1ab4154a0876eb82f055/examples/dreambooth/train_dreambooth.py#L506).
    r   FNnum_train_timesteps
beta_startbeta_endbeta_scheduletrained_betasvariance_typeclip_sampleprediction_typethresholdingdynamic_thresholding_ratioclip_sample_rangesample_max_valuetimestep_spacingsteps_offsetrescale_betas_zero_snrc                    |+t        j                  |t         j                        | _        n|dk(  r-t        j                  |||t         j                        | _        n|dk(  r6t        j                  |dz  |dz  |t         j                        dz  | _        np|dk(  rt        |      | _        nZ|dk(  r;t        j                  dd	|      }t        j                  |      ||z
  z  |z   | _        nt        | d
| j                         |rt        | j                        | _        d| j                  z
  | _
        t        j                  | j                  d      | _        t        j                  d      | _        d| _        d| _        d | _        t        j"                  t%        j&                  d|      d d d   j)                               | _        || _        y )Nr)   linearscaled_linear      ?r   squaredcos_cap_v2sigmoidi   z is not implemented for r:   r   r;   Fr=   )r   r/   r0   r4   linspacer8   r_   NotImplementedError	__class__rH   rB   r>   rC   oneinit_noise_sigmacustom_timestepsnum_inference_steps
from_numpynparangecopy	timestepsrP   )selfrK   rL   rM   rN   rO   rP   rQ   rR   rS   rT   rU   rV   rW   rX   rY   r4   s                    r   __init__zDDPMParallelScheduler.__init__   s   ( $m5==IDJh&
H>QY^YfYfgDJo-
C3H[chcpcpquvvDJ11,-@ADJi'NN2q*=>Eu-J1FG*TDJ%7OPTP^P^O_&`aa "24::>DJDJJ&#mmDKKQ?<<$ !$ !&#' ))"))A7J*KDbD*Q*V*V*XY*r   sampletimestepreturnc                     |S )a  
        Ensures interchangeability with schedulers that need to scale the denoising model input depending on the
        current timestep.

        Args:
            sample (`torch.Tensor`):
                The input sample.
            timestep (`int`, *optional*):
                The current timestep in the diffusion chain.

        Returns:
            `torch.Tensor`:
                A scaled input sample.
        r   )rm   ro   rp   s      r   scale_model_inputz'DDPMParallelScheduler.scale_model_input   s	     r   rg   devicerl   c           	      l   ||t        d      |t        dt        |            D ]  }||   ||dz
     k\  st        d       |d   | j                  j                  k\  r#t        d| j                  j                   d      t        j                  |t
        j                        }d	| _        nZ|| j                  j                  kD  r=t        d
| d| j                  j                   d| j                  j                   d      || _	        d| _        | j                  j                  dk(  rot        j                  d| j                  j                  dz
  |      j                         ddd   j                         j                  t
        j                        }nn| j                  j                  dk(  r| j                  j                  | j                  z  }t        j                  d|      |z  j                         ddd   j                         j                  t
        j                        }|| j                  j                   z  }n| j                  j                  dk(  r| j                  j                  | j                  z  }t        j                  t        j                  | j                  j                  d|             j                  t
        j                        }|dz  }n"t        | j                  j                   d      t#        j$                  |      j'                  |      | _        y)a,  
        Sets the discrete timesteps used for the diffusion chain (to be run before inference).

        Args:
            num_inference_steps (`int`):
                The number of diffusion steps used when generating samples with a pre-trained model. If used,
                `timesteps` must be `None`.
            device (`str` or `torch.device`, *optional*):
                The device to which the timesteps should be moved to. If `None`, the timesteps are not moved.
            timesteps (`List[int]`, *optional*):
                Custom timesteps used to support arbitrary spacing between timesteps. If `None`, then the default
                timestep spacing strategy of equal spacing between timesteps is used. If `timesteps` is passed,
                `num_inference_steps` must be `None`.

        NzACan only pass one of `num_inference_steps` or `custom_timesteps`.r   z/`custom_timesteps` must be in descending order.r   z=`timesteps` must start before `self.config.train_timesteps`: .r)   Tz`num_inference_steps`: z6 cannot be larger than `self.config.train_timesteps`: zG as the unet model trained with this scheduler can only handle maximal z timesteps.Fra   r=   leadingtrailingzY is not supported. Please make sure to choose one of 'linspace', 'leading' or 'trailing'.)r+   r,   lenconfigrK   ri   arrayint64rf   rg   rW   ra   roundrk   astyperj   rX   r   rh   torl   )rm   rg   rt   rl   r5   
step_ratios         r   set_timestepsz#DDPMParallelScheduler.set_timesteps  s   * *y/D`aa 1c)n- XQ<9QU#33$%VWWX |t{{>>> STXT_T_TsTsSttuv  "((;I$(D!"T[[%D%DD -.A-B C778 9  $ ? ?@M  (;D$$)D! {{++z9KK4;;#B#BQ#FH[\UWTrT#TVVBHH%	  --:![[<<@X@XX
  YYq*=>KRRTUYWYUYZ__ahhikiqiqr	T[[555	--;![[<<t?W?WW
 HHRYYt{{/N/NPQT^S^%_`gghjhphpq	Q	 {{334  5N  O  )))477?r   c                 l   | j                  |      }| j                  |   }|dk\  r| j                  |   n| j                  }d||z  z
  }d|z
  d|z
  z  |z  }t        j                  |d      }|| j
                  j                  }|dk(  r|}|S |dk(  r/t        j                  |      }t        j                  d|z        }|S |dk(  r|}|S |d	k(  rt        j                  |      }|S |d
k(  r|S |dk(  r@t        j                  |      }	t        j                  |      }
|dz   dz  }||
z  d|z
  |	z  z   }|S )Nr   r   g#B;r.   fixed_smallfixed_small_logr]   fixed_largefixed_large_loglearnedlearned_ranger   )	previous_timesteprC   rd   r   clamprz   rP   logr'   )rm   r%   predicted_variancerP   prev_talpha_prod_talpha_prod_t_prevcurrent_beta_tvariancemin_logmax_logfracs               r   _get_variancez#DDPMParallelScheduler._get_varianceP  so   ''***1-;AQ;D//7DHH\,===
 ))a,.>?.P ;;xU3  KK55M M)H$ ! //yy*Hyyx0H  m+%H  //yy0H  i'%%o-ii)Gii/G&*a/Dg~TW(<<Hr   c                 b   |j                   }|j                  ^}}}|t        j                  t        j                  fvr|j                         }|j                  ||t        j                  |      z        }|j                         }t        j                  || j                  j                  d      }t        j                  |d| j                  j                        }|j                  d      }t        j                  || |      |z  } |j                  ||g| }|j!                  |      }|S )a{  
        "Dynamic thresholding: At each sampling step we set s to a certain percentile absolute pixel value in xt0 (the
        prediction of x_0 at timestep t), and if s > 1, then we threshold xt0 to the range [-s, s] and then divide by
        s. Dynamic thresholding pushes saturated pixels (those near -1 and 1) inwards, thereby actively preventing
        pixels from saturation at each step. We find that dynamic thresholding results in significantly better
        photorealism as well as better image-text alignment, especially when using very large guidance weights."

        https://huggingface.co/papers/2205.11487
        r   r;   )r.   max)r*   shaper   r0   float64floatreshaperi   prodabsquantilerz   rT   r   rV   	unsqueezer   )rm   ro   r*   
batch_sizechannelsremaining_dims
abs_sampless           r   _threshold_samplez'DDPMParallelScheduler._threshold_sampley  s     06-
H~66\\^F 
Hrww~7N,NOZZ\
NN:t{{'M'MSTUKK1$++66
 KKNVaR+a/
HF~F5!r   model_outputreturn_dictc                 X   |}| j                  |      }|j                  d   |j                  d   dz  k(  r7| j                  dv r)t        j                  ||j                  d   d      \  }}nd}| j
                  |   }	|dk\  r| j
                  |   n| j                  }
d|	z
  }d|
z
  }|	|
z  }d|z
  }| j                  j                  dk(  r||dz  |z  z
  |	dz  z  }nj| j                  j                  d	k(  r|}nN| j                  j                  d
k(  r|	dz  |z  |dz  |z  z
  }n#t        d| j                  j                   d      | j                  j                  r| j                  |      }nQ| j                  j                  r;|j                  | j                  j                   | j                  j                        }|
dz  |z  |z  }|dz  |z  |z  }||z  ||z  z   }d}|dkD  r|j                  }t!        |j                  |||j"                        }| j                  dk(  r| j%                  ||      |z  }nW| j                  dk(  r/| j%                  ||      }t        j&                  d|z        |z  }n| j%                  ||      dz  |z  }||z   }|s||fS t)        ||      S )a  
        Predict the sample at the previous timestep by reversing the SDE. Core function to propagate the diffusion
        process from the learned model outputs (most often the predicted noise).

        Args:
            model_output (`torch.Tensor`): direct output from learned diffusion model.
            timestep (`int`): current discrete timestep in the diffusion chain.
            sample (`torch.Tensor`):
                current instance of sample being created by diffusion process.
            generator: random number generator.
            return_dict (`bool`): option for returning tuple rather than DDPMParallelSchedulerOutput class

        Returns:
            [`~schedulers.scheduling_utils.DDPMParallelSchedulerOutput`] or `tuple`:
            [`~schedulers.scheduling_utils.DDPMParallelSchedulerOutput`] if `return_dict` is True, otherwise a `tuple`.
            When returning a tuple, the first element is the sample tensor.

        r   r   r   r   r;   Nr   epsilonr]   ro   v_predictionprediction_type given as zM must be one of `epsilon`, `sample` or `v_prediction`  for the DDPMScheduler.)	generatorrt   r*   r   )r   r   )r   r   )r   r   rP   r   splitrC   rd   rz   rR   r+   rS   r   rQ   r   rU   rt   r   r*   r   r'   r   )rm   r   rp   ro   r   r   r%   r   r   r   r   beta_prod_tbeta_prod_t_prevcurrent_alpha_tr   r   pred_original_sample_coeffcurrent_sample_coeffpred_prev_sampler   rt   variance_noises                         r   stepzDDPMParallelScheduler.step  s   4 ''*a FLLOa$77D<N<NRn<n/4{{<VW^_/`,L,!% **1-;AQ;D//7DHH,&00&)::_, ;;&&)3$*[S-AL-P$PT`ehTi#i [[((H4#/ [[((N:$0#$5#?;PSCSWcBc#c +DKK,G,G+H I: :  ;;###'#9#9:N#O [[$$#7#=#=...0M0M$  '8C&@>&QU`%`".37:JJ[X 68LLOcflOll q5!((F)""ilN`N`N !!%66--aDV-WZhh##6--aDV-W 99S8^4~E ..qEW.X\__cqq+h6 $ 
 +7G^rssr   c                 X   |}| j                   r| j                   n| j                  j                  }|| j                  j                  |z  z
  } |j                  dgdg|j                  dz
  z   } |j                  dgdg|j                  dz
  z   }|j
                  d   |j
                  d   dz  k(  r7| j                  dv r)t        j                  ||j
                  d   d      \  }}n	 | j                  j                  |j                        | _	        | j                  |   }| j                  t        j                  |d         }	t        j                  d      |	|dk  <   d|z
  }
d|	z
  }||	z  }d|z
  }| j                  j                  d	k(  r||
d
z  |z  z
  |d
z  z  }nj| j                  j                  dk(  r|}nN| j                  j                  dk(  r|d
z  |z  |
d
z  |z  z
  }n#t        d| j                  j                   d      | j                  j                   r| j#                  |      }nQ| j                  j$                  r;|j'                  | j                  j(                   | j                  j(                        }|	d
z  |z  |
z  }|d
z  |z  |
z  }||z  ||z  z   }|S )a  
        Batched version of the `step` function, to be able to reverse the SDE for multiple samples/timesteps at once.
        Also, does not add any noise to the predicted sample, which is necessary for parallel sampling where the noise
        is pre-sampled by the pipeline.

        Predict the sample at the previous timestep by reversing the SDE. Core function to propagate the diffusion
        process from the learned model outputs (most often the predicted noise).

        Args:
            model_output (`torch.Tensor`): direct output from learned diffusion model.
            timesteps (`List[int]`):
                current discrete timesteps in the diffusion chain. This is now a list of integers.
            sample (`torch.Tensor`):
                current instance of sample being created by diffusion process.

        Returns:
            `torch.Tensor`: sample tensor at previous timestep.
        r=   r   r   r   r;   r   r   r:   r   r]   ro   r   r   zU must be one of `epsilon`, `sample` or `v_prediction`  for the DDPMParallelScheduler.)rg   rz   rK   viewndimr   rP   r   r   rC   r   rt   clipr/   rR   r+   rS   r   rQ   r   rU   )rm   r   rl   ro   r%   rg   r   r   r   r   r   r   r   r   r   r   r   r   s                     r   batch_step_no_noisez)DDPMParallelScheduler.batch_step_no_noise  s   0 :>:R:Rd66X\XcXcXwXwT[[448KKKAFF28! 1 1A 568RBA3,*;*;a*?#@Ba FLLOa$77D<N<NRn<n/4{{<VW^_/`,L, #1144\5H5HI**1- //

6q0IJ(-S(9&1*%,&00&)::_, ;;&&)3$*[S-AL-P$PT`ehTi#i [[((H4#/ [[((N:$0#$5#?;PSCSWcBc#c +DKK,G,G+H IB B  ;;###'#9#9:N#O [[$$#7#=#=...0M0M$  '8C&@>&QU`%`".37:JJ[X 68LLOcflOllr   original_samplesnoisec                    | j                   j                  |j                        | _         | j                   j                  |j                        }|j                  |j                        }||   dz  }|j	                         }t        |j                        t        |j                        k  r=|j                  d      }t        |j                        t        |j                        k  r=d||   z
  dz  }|j	                         }t        |j                        t        |j                        k  r=|j                  d      }t        |j                        t        |j                        k  r=||z  ||z  z   }|S N)rt   r)   r]   r=   r   rC   r   rt   r*   flattenry   r   r   )rm   r   r   rl   rC   sqrt_alpha_prodsqrt_one_minus_alpha_prodnoisy_sampless           r   	add_noisezDDPMParallelScheduler.add_noiseN  sa    #1144<L<S<S4T,,//6F6L6L/MLL!1!8!89	(3s:)113/''(3/?/E/E+FF-77;O /''(3/?/E/E+FF &'	)B%Bs$J!$=$E$E$G!+112S9I9O9O5PP(A(K(KB(O% +112S9I9O9O5PP (*::=VY^=^^r   c                    | j                   j                  |j                        | _         | j                   j                  |j                        }|j                  |j                        }||   dz  }|j	                         }t        |j                        t        |j                        k  r=|j                  d      }t        |j                        t        |j                        k  r=d||   z
  dz  }|j	                         }t        |j                        t        |j                        k  r=|j                  d      }t        |j                        t        |j                        k  r=||z  ||z  z
  }|S r   r   )rm   ro   r   rl   rC   r   r   velocitys           r   get_velocityz"DDPMParallelScheduler.get_velocityi  sG   "1144FMM4J,,//fll/CLL/	(3s:)113/''(3v||+<<-77;O /''(3v||+<< &'	)B%Bs$J!$=$E$E$G!+112S5FF(A(K(KB(O% +112S5FF #U*-F-OOr   c                 .    | j                   j                  S N)rz   rK   )rm   s    r   __len__zDDPMParallelScheduler.__len__|  s    {{...r   c                    | j                   s| j                  ro| j                  |k(  j                  d      d   d   }|| j                  j                  d   dz
  k(  rt        j                  d      }|S | j                  |dz      }|S |dz
  }|S )NT)as_tupler   r   r=   )rf   rg   rl   nonzeror   r   r/   )rm   rp   indexr   s       r   r   z'DDPMParallelScheduler.previous_timestep  s      D$<$<^^x/88$8GJ1ME,,Q/!33b)
  	2  \Fr   )i  g-C6?g{Gz?r[   Nr   Tr   Fgףp=
?r:   r:   rw   r   Fr   )NNN)NN)NT)$r   r   r   r   r   name_compatiblesorder_is_ode_schedulerr
   intr   strr   r   ri   ndarrayr   boolrn   r   r   rs   rt   r   r   r   r   r   r   r   	IntTensorr   r   r   r   ).0es   00r   rJ   rJ      s   1f %>>qAFF>LE $("%BF* (",1#&"% )',!3+ 3+ 3+ 	3+
 3+  bjj$u+&= >?3+ 3+ 3+ 3+ 3+ %*3+ !3+  3+ 3+ 3+  !%!3+ 3+l  Y^YeYe ( .2+/)-	H@%c]H@ c5<<'(H@ DI&	H@V&R  L  atllat at 	at at 
*E1	2atFN llN  9N  	N 
 
N b,, || ??	
 
65<<  QVQ`Q` ejeqeq &/	S ?s   F!rJ   )g+?r   )r!   dataclassesr   typingr   r   r   r   numpyri   r   configuration_utilsr	   r
   utilsr   utils.torch_utilsr   scheduling_utilsr   r   r   r8   rH   rJ   r   r   r   <module>r      sd   "  ! / /   A  , G 8* 8 8( !)4Z!HFNK Fr   