
    jW                    F   U d dl mZ d dlZd dlmZ d dlmZmZmZmZm	Z	 d dl
mZmZmZ d dlZd dlmZ erd dlmZ dd	lmZ g d
Z ed          Z ed          Z eej        d          sH ed          ej        j        d<    ed          ej        j        d<    ed          ej        j        d<   d dlmZmZmZ d0dZd1dZ G d de          Z  G d d          Z!e	dede"f         f         Z#de$d<   e	 	 	 d2d3d)            Z%e	 	 	 d2d4d,            Z%	 	 	 d2d5d/Z%dS )6    )annotationsN)Callable)OptionaloverloadTYPE_CHECKING	TypeAliasUnion)	ParamSpecSelfTypeVar)Tensor)_POOL_HANDLE   )_dummy_type)is_current_stream_capturinggraph_pool_handleXPUGraphgraphmake_graphed_callables_R_P_XpuStreamBase	_XPUGraph_xpu_graph_pool_handle_xpu_isCurrentStreamCapturing)r   r   r   returnboolc                     t                      S )zReturn True if XPU graph capture is underway on the current XPU stream, False otherwise.

    If a XPU context does not exist on the current device, returns False without initializing the context.
    )r        Z/lsinfo/ai/hellotax_ai/base_platform/venv/lib/python3.11/site-packages/torch/xpu/graphs.pyr   r   )   s    
 )***r    r   c                 X    t           j                            t                                S )zBReturn an opaque token representing the id of a graph memory pool.)torchxpur   r   r   r    r!   r   r   1   s    9!!"8":":;;;r    c                       e Zd ZdZdd fdZdd fdZd fdZd fdZd fdZd fdZ	d fdZ
d fdZd  fdZd! fdZd! fdZ xZS )"r   a  Wrapper around a XPU graph.

    Arguments:
        keep_graph (bool, optional): If ``keep_graph=False``, the
            executable command graph will be instantiated on GPU at the end of
            ``capture_end`` and the underlying modifiable command graph will be
            destroyed. Note that the executable command graph will not be
            instantiated at the end of ``capture_end`` in this
            case. Instead, it will be instantiated via an explicit called
            to ``instantiate`` or automatically on the first call to
            ``replay`` if ``instantiate`` was not already called. Calling
            ``instantiate`` manually before ``replay`` is recommended to
            prevent increased latency on the first call to ``replay``.

    F
keep_graphr   r   r   c                H    t                                          | |          S N)super__new__)clsr&   	__class__s     r!   r*   zXPUGraph.__new__G   s    wwsJ///r    NpoolOptional[_POOL_HANDLE]Nonec                L    t                                          |           dS )a  Begin capturing XPU work on the current xpu stream.

        Typically, you shouldn't call ``capture_begin`` yourself.
        Use :class:`~torch.xpu.graph`, which call ``capture_begin`` internally.

        Arguments:
            pool (optional): Token (returned by :func:`~torch.xpu.graph_pool_handle` or
                :meth:`other_Graph_instance.pool()<torch.xpu.XPUGraph.pool>`) that hints this graph may share memory
                with the indicated pool.
        r-   N)r)   capture_begin)selfr-   r,   s     r!   r2   zXPUGraph.capture_beginJ   s&     	4(((((r    c                H    t                                                       dS )a  End XPU graph capture on the current stream.

        After ``capture_end``, ``replay`` may be called on this instance.

        Typically, you shouldn't call ``capture_end`` yourself.
        Use :class:`~torch.xpu.graph`, which call ``capture_end`` internally.
        N)r)   capture_endr3   r,   s    r!   r5   zXPUGraph.capture_endW   s!     	r    c                H    t                                                       dS )a/  Instantiate the XPU graph. Will be called by
        ``capture_end`` if ``keep_graph=False``, or by ``replay`` if
        ``keep_graph=True`` and ``instantiate`` has not already been
        explicitly called. Does not destroy the xpu modify command graph returned
        by ``raw_xpu_graph``.
        N)r)   instantiater6   s    r!   r8   zXPUGraph.instantiatea   s!     	r    c                H    t                                                       dS )z+Replay the XPU work captured by this graph.N)r)   replayr6   s    r!   r:   zXPUGraph.replayj   s    r    c                H    t                                                       dS )z1Delete the graph currently held by this instance.N)r)   resetr6   s    r!   r<   zXPUGraph.resetn   s    r    r   c                D    t                                                      S )zReturn an opaque token representing the id of this graph's memory pool.

        This id can optionally be passed to another graph's ``capture_begin``,
        which hints the other graph may share the same memory pool.
        )r)   r-   r6   s    r!   r-   zXPUGraph.poolr   s     ww||~~r    c                D    t                                                      S )z.Enable debugging mode for XPUGraph.debug_dump.)r)   enable_debug_moder6   s    r!   r?   zXPUGraph.enable_debug_modez   s    ww((***r    
debug_pathstrc                F    t                                          |          S )z
        Arguments:
            debug_path (required): Path to dump the graph to.

        Calls a debugging function to dump the graph if the debugging is
        enabled via XPUGraph.enable_debug_mode()
        )r)   
debug_dump)r3   r@   r,   s     r!   rC   zXPUGraph.debug_dump~   s     ww!!*---r    intc                D    t                                                      S )zReturns the underlying xpuGraph_t. ``keep_graph`` must be True.

        XPU doesn't provide APIs to manipulate this object.
        )r)   raw_xpu_graphr6   s    r!   rF   zXPUGraph.raw_xpu_graph   s    
 ww$$&&&r    c                D    t                                                      S )a  Returns the underlying xpuGraphExec_t. ``instantiate`` must have been called if ``keep_graph`` is True, or ``capture_end`` must have been called if ``keep_graph`` is False. If you call ``instantiate()`` after ``raw_xpu_graph_exec()``, the previously returned xpuGraphExec_t will be destroyed. It is your responsibility not to use this object after destruction.

        XPU doesn't provide APIs to manipulate this object.
        )r)   raw_xpu_graph_execr6   s    r!   rH   zXPUGraph.raw_xpu_graph_exec   s    
 ww))+++r    )F)r&   r   r   r   r(   )r-   r.   r   r/   r   r/   r   r   )r@   rA   r   r/   )r   rD   )__name__
__module____qualname____doc__r*   r2   r5   r8   r:   r<   r-   r?   rC   rF   rH   __classcell__)r,   s   @r!   r   r   6   s}         0 0 0 0 0 0 0) ) ) ) ) ) )                         + + + + + +. . . . . .' ' ' ' ' ', , , , , , , , , ,r    r   c                  @    e Zd ZU dZdZded<   	 	 ddd
ZddZddZdS )r   a  Context-manager that captures XPU work into a :class:`torch.xpu.XPUGraph` object for later replay.

    Arguments:
        xpu_graph (torch.xpu.XPUGraph): Graph object used for capture.
        pool (optional): Opaque token (returned by a call to :func:`~torch.xpu.graph_pool_handle()` or
            :meth:`other_Graph_instance.pool()<torch.xpu.XPUGraph.pool>`) hinting this graph's capture
            may share memory from the specified pool.
        stream (torch.xpu.Stream, optional): If supplied, will be set as the current stream in the context.
            If not supplied, ``graph`` sets its own internal side stream as the current stream in the context.

    .. note::
        For effective memory sharing, if you pass a ``pool`` used by a previous capture and the previous capture
        used an explicit ``stream`` argument, you should pass the same ``stream`` argument to this capture.

    NOptional[torch.xpu.Stream]default_capture_stream	xpu_graphr   r-   r.   streamc                   | j         j        (t          j                                        | j         _        |dn|f| _        ||n| j         j        | _        | j        t          d          | j        | _        || _	        d S )Nr   zcapture_stream must not be None)
r,   rR   r#   r$   Streamr-   capture_streamAssertionError
stream_ctxrS   )r3   rS   r-   rT   s       r!   __init__zgraph.__init__   s     >0849I4D4D4F4FDN1 ,BBTG 		 (FFdn.S 	 & !BCCC-"r    r   r/   c                    t           j                                         t           j                                         | j                                          | j        j        | j          d S r(   )	r#   r$   synchronizeempty_cacherY   	__enter__rS   r2   r-   )r3   s    r!   r^   zgraph.__enter__   sX    		!!###$$di0000r    argsobjectc                V    | j                                           | j        j        |  d S r(   )rS   r5   rY   __exit__)r3   r_   s     r!   rb   zgraph.__exit__   s.    ""$$$  $''''r    )NN)rS   r   r-   r.   rT   rQ   rI   )r_   r`   r   r/   )	rK   rL   rM   rN   rR   __annotations__rZ   r^   rb   r   r    r!   r   r      s}            :>====
 (,-1	# # # # #.1 1 1 1( ( ( ( ( (r    r   torch.nn.Module.r   _ModuleOrCallable   F	callablessample_argstuple[Tensor, ...]num_warmup_itersrD   allow_unused_inputr-   r.   c                    d S r(   r   rg   rh   rj   rk   r-   s        r!   r   r      s	     r    tuple[_ModuleOrCallable, ...]tuple[tuple[Tensor, ...], ...]c                    d S r(   r   rm   s        r!   r   r      s	     %(Cr    7Union[_ModuleOrCallable, tuple[_ModuleOrCallable, ...]]9Union[tuple[Tensor, ...], tuple[tuple[Tensor, ...], ...]]c                  )* t          j                    r"t          j                    rt          d          d}t	          | t
                    s.d}| f} t          j        t
          t          df         |          f}n4t          j        t
          t
          t          df         df         |          }g )t          | |          D ]\  }}t	          |t           j
        j                  rt          |j                  dk    r0t          |j                  dk    rt          |j                  dk    st          d          t!          d |                                D                       st          d          t          j        j        j        | }	)                    t          |	                     t!          d	 |	D                       st-          d
          d )D             }
d | D             *)*fdt/          t          |                     D             }d t/          t          |                     D             }d t/          t          |                     D             }|t1                      n|}t           j                                         t           j                            t           j                                                  5  t          | ||          D ]\  }}}d\  }}}t/          |          D ]}t           j        j                             ||           }t          d |D                       }t          |          dk    rRt           j                            |t          d |D                       t          d |D                       d|          }|||fD ]}~	 ddd           n# 1 swxY w Y   t           j                                         g }g }t          | ||          D ]\  }}}t           j                             ||          5   || }ddd           n# 1 swxY w Y   t           j        j        !                    |          \  }}|                    t          |                     |                    |           g }g }t          tE          |          tE          |          tE          |                    D ]Z\  }}}t          d |D                       } t          d |D                       }d}t          |          dk    rt           j                             ||          5  t           j                            |t          d |D                       t          d | D                       d|          }ddd           n# 1 swxY w Y   g }!d}"|D ]A}#|#j#        r#|!|!                    ||"                    |"dz  }",|!                    d           Bt          |!          }!|                    |            |                    |!           \|$                                 |$                                 d6d-}$g }%tK          |           D ]\  }&} |$||&         ||&         *|&         |
|&         ||&         ||&         ||&         ||&         ||&         	  	        }'t	          |t           j
        j                  r7d7d5}( |(||j&        |'|j'                  |_'        |%                    |           |%                    |'           |r|%d         S t          |%          S )8a  Accept callables (functions or :class:`nn.Module<torch.nn.Module>`\ s) and returns graphed versions.

    Each graphed callable's forward pass runs its source callable's
    forward XPU work as a XPU graph inside a single autograd node.

    The graphed callable's forward pass also appends
    a backward node to the autograd graph. During backward, this node runs the
    callable's backward work as a XPU graph.

    Therefore, each graphed callable should be a drop-in replacement for its source callable
    in an autograd-enabled training loop.

    See :ref:`Partial-network capture<partial-network-capture>` for detailed use and constraints.

    If you pass a tuple of several callables, their captures will use the same memory pool.

    Arguments:
        callables (torch.nn.Module or Python function, or tuple of these): Callable or callables to graph.
            If you pass a tuple of callables, their order in the tuple must be the same order they'll run
            in the live workload.
        sample_args (tuple of Tensors, or tuple of tuples of Tensors): Samples args for each callable.
            If a single callable was passed, ``sample_args`` must be a single tuple of argument Tensors.
            If a tuple of callables was passed, ``sample_args`` must be tuple of tuples of argument Tensors.
        num_warmup_iters (int): The number of warmup iterations. Currently, ``DataDistributedParallel`` needs
            11 iterations for warm up. Default: ``3``.
        allow_unused_input (bool): If False, specifying inputs that were not used when computing outputs
            (and therefore their grad is always zero) is an error. Defaults to False.
        pool (optional): Token (returned by :func:`~torch.xpu.graph_pool_handle` or
            :meth:`other_Graph_instance.pool()<torch.xpu.XPUGraph.pool>`) that hints this graph may share memory
            with the indicated pool.
    .. note::
        The ``requires_grad`` state of each Tensor in ``sample_args`` must match the state
        that's expected for the corresponding real input in the training loop.

    .. warning::
        This API is in beta and may change in future releases.

    .. warning::
        ``sample_args`` for each callable must contain only Tensors. Other types are not allowed.

    .. warning::
        Returned callables do not support higher order differentiation (e.g., double backward).

    .. warning::
        In any :class:`~torch.nn.Module` passed to :func:`~make_graphed_callables`, only parameters
        may be trainable. Buffers must have ``requires_grad=False``.

    .. warning::
        After you pass a :class:`torch.nn.Module` through :func:`~make_graphed_callables`,
        you may not add or remove any of that Module's parameters or buffers.

    .. warning::
        :class:`torch.nn.Module`\s passed to :func:`~torch.xpu.make_graphed_callables` must not have module hooks
        registered on them at the time they are passed. However, registering hooks on modules *after* passing them
        through :func:`~torch.xpu.make_graphed_callables` is allowed.

    .. warning::
        When running a graphed callable, you must pass its arguments in the same order and format
        they appeared in that callable's ``sample_args``.

    .. warning::
        The automatic mixed precision is supported in :func:`~torch.xpu.make_graphed_callables` only with disabled
        caching. The context manager `torch.amp.autocast()` must have `cache_enabled=False`.
    z_make_graphed_callables does not support the autocast caching. Please set `cache_enabled=False`.FT.r   zModules must not have hooks registered at the time they are passed. However, registering hooks on modules after passing them through make_graphed_callables is allowed.c              3  (   K   | ]}|j         d u V  dS )FNrequires_grad.0bs     r!   	<genexpr>z)make_graphed_callables.<locals>.<genexpr>I  s)      EEAq%/EEEEEEr    zIn any :class:`~torch.nn.Module` passed to :func:`~make_graphed_callables`, only parameters may be trainable. All buffers must have ``requires_grad=False``.c              3  J   K   | ]}t          |t          j                  V  d S r(   )
isinstancer#   r   )rx   args     r!   rz   z)make_graphed_callables.<locals>.<genexpr>Q  s.      HHS:c5<00HHHHHHr    zfIn the beta API, sample_args for each callable must contain only Tensors. Other types are not allowed.c                ,    g | ]}t          |          S r   )len)rx   r_   s     r!   
<listcomp>z*make_graphed_callables.<locals>.<listcomp>Y  s    !L!L!L#d))!L!L!Lr    c                    g | ]D}t          |t          j        j                  r!t	          |                                          nd ES )r   )r|   r#   nnModuletuple
parameters)rx   cs     r!   r   z*make_graphed_callables.<locals>.<listcomp>Z  sP     " " " ",Aux!?!?GallnnR" " "r    c                2    g | ]}|         |         z   S r   r   )rx   iflatten_sample_argsper_callable_module_paramss     r!   r   z*make_graphed_callables.<locals>.<listcomp>^  s9     * * * 	A!;A!>>* * *r    c                J    g | ] }t           j                                        !S r   r#   r$   r   rx   _s     r!   r   z*make_graphed_callables.<locals>.<listcomp>c  &    FFF1%)$$&&FFFr    c                J    g | ] }t           j                                        !S r   r   r   s     r!   r   z*make_graphed_callables.<locals>.<listcomp>d  r   r    N)NNNc              3  (   K   | ]}|j         	|V  d S r(   ru   rx   os     r!   rz   z)make_graphed_callables.<locals>.<genexpr>q  s)      $K$K11?$KQ$K$K$K$K$K$Kr    c              3  (   K   | ]}|j         	|V  d S r(   ru   rx   r   s     r!   rz   z)make_graphed_callables.<locals>.<genexpr>u  s=       % %"#q%% % % % % %r    c              3  L   K   | ]}|j         	t          j        |          V   d S r(   rv   r#   
empty_liker   s     r!   rz   z)make_graphed_callables.<locals>.<genexpr>x  sH       + +45AO+!,Q//+ + + + + +r    )outputsinputsgrad_outputsonly_inputsallow_unusedr1   c              3  P   K   | ]!}|j         rt          j        |          nd V  "d S r(   r   r   s     r!   rz   z)make_graphed_callables.<locals>.<genexpr>  sJ       $
 $
AB1?<EQ$
 $
 $
 $
 $
 $
r    c              3  (   K   | ]}|j         	|V  d S r(   ru   r   s     r!   rz   z)make_graphed_callables.<locals>.<genexpr>  s)      JJ1!/JQJJJJJJr    c              3  (   K   | ]}|j         	|V  d S r(   ru   r   s     r!   rz   z)make_graphed_callables.<locals>.<genexpr>  s)       T TqAO T T T T T T Tr    c              3     K   | ]}||V  	d S r(   r   r   s     r!   rz   z)make_graphed_callables.<locals>.<genexpr>  s"      &W&WQq&W&Wr       	fwd_graphr   	bwd_graphmodule_paramstuple[torch.nn.Parameter, ...]len_user_argsrD   output_unflatten_spectorch.utils._pytree.TreeSpecstatic_input_surfaceri   static_outputsstatic_grad_outputstuple[Optional[Tensor], ...]static_grad_inputsr   Callable[..., object]c	           	     t    
  G  fddt           j        j                  
d
fd}	|	S )Nc                      e Zd Zedfd            Zeej        j        j        d fd	                        Z	d
S )Omake_graphed_callables.<locals>.make_graphed_autograd_function.<locals>.Graphedctxr`   r   r   r   ri   c                x   t                    D ]Y}|                                         ||                                         k    r!|                             ||                    Z                                 t	          t
                    st          d          t          d D                       S )Nzstatic_outputs must be a tuplec              3  >   K   | ]}|                                 V  d S r(   detachr   s     r!   rz   zjmake_graphed_callables.<locals>.make_graphed_autograd_function.<locals>.Graphed.forward.<locals>.<genexpr>  s*      @@AQXXZZ@@@@@@r    )rangedata_ptrcopy_r:   r|   r   RuntimeError)r   r   r   r   r   r   r   s      r!   forwardzWmake_graphed_callables.<locals>.make_graphed_autograd_function.<locals>.Graphed.forward  s     }-- A AA+A.7799VAY=O=O=Q=QQQ,Q/55fQi@@@  """!.%88 I&'GHHH@@@@@@@@r    gradsc                   t          |          t                    k    r/t          dt                     dt          |                     t          |          D ]F\  }}|?|                                |                                k    r|                    |           G                                 t          t                    st          d          t          d D                       S )Nz	Expected z gradients but got z"static_grad_inputs must be a tuplec              3  F   K   | ]}||                                 n|V  d S r(   r   rw   s     r!   rz   zkmake_graphed_callables.<locals>.make_graphed_autograd_function.<locals>.Graphed.backward.<locals>.<genexpr>  sH          #$-AHHJJJQ     r    )r   r   zipr   r   r:   r|   r   )r   r   ggradr   r   r   s       r!   backwardzXmake_graphed_callables.<locals>.make_graphed_autograd_function.<locals>.Graphed.backward  s    u::%8!9!999&]C(;$<$<]]QTUZQ[Q[]]    ##6>> * *GAt}::<<4==??::GGDMMM  """!"4e<< M&'KLLL   0     r    N)r   r`   r   r   r   ri   )r   r`   r   r   r   ri   )
rK   rL   rM   staticmethodr   r#   autogradfunctiononce_differentiabler   )r   r   r   r   r   r   r   s   r!   Graphedr     s        A A A A A A A A \A ^$8       98 \  r    r   	user_argsr`   r   c                     t          j        j        j        |  } j        t          |          z    }t           j        j                            |          S r(   )r#   utils_pytreearg_tree_leavesapplyr   tree_unflatten)r   flatten_user_argsoutr   r   r   s      r!   functionalizedzVmake_graphed_callables.<locals>.make_graphed_autograd_function.<locals>.functionalized  sN     % 3 CY O'-%(9":":]"JLC;&55c;PQQQr    )r   r`   r   r`   )r#   r   Function)r   r   r   r   r   r   r   r   r   r   r   s   ````````` @r!   make_graphed_autograd_functionz>make_graphed_callables.<locals>.make_graphed_autograd_function  s    !	 !	 !	 !	 !	 !	 !	 !	 !	 !	 !	 !	 !	en- !	 !	 !	F	R 	R 	R 	R 	R 	R 	R 	R r    funcrd   graph_training_stater   graphedCallable[_P, _R]orig_fwdc                      d fd}|S )	Nr   _P.argsuser_kwargs	_P.kwargsr   r   c                 :    j         k    r | i |S  | i |S r(   )training)r   r   r   r   r   r   s     r!   new_fwdzEmake_graphed_callables.<locals>.make_graphed_forward.<locals>.new_fwd  s;    }(<<<&w	A[AAA'xBkBBBr    )r   r   r   r   r   r   r   )r   r   r   r   r   s   ```` r!   make_graphed_forwardz4make_graphed_callables.<locals>.make_graphed_forward  sC    C C C C C C C C C r    )r   r   r   r   r   r   r   rD   r   r   r   ri   r   ri   r   r   r   ri   r   r   )
r   rd   r   r   r   r   r   r   r   r   )(r#   is_autocast_enabledis_autocast_cache_enabledr   r|   r   typingcastr   r   r   r   r   _backward_hooks_forward_hooks_forward_pre_hooksallbuffersr   r   r   append	TypeErrorr   r   r$   r\   rT   rV   tree_leavesr   r   r   tree_flattenreversedrv   reverse	enumerater   r   )+rg   rh   rj   rk   r-   just_one_callable_sample_argsr   r_   flatten_argper_callable_len_user_args"per_callable_static_input_surfaces
fwd_graphs
bwd_graphsmempoolr   r   grad_inputsr   outputs_gradr   vper_callable_static_outputs"per_callable_output_unflatten_specr   func_outputsflatten_outputsspec per_callable_static_grad_outputsper_callable_static_grad_inputsr   r   r   r   grad_idxr}   r   retr   r   r   r   r   s+                                            @@r!   r   r      s	   N  "" 
u'F'H'H 
m
 
 	
  i'' P L	E&#+$6DDF{5vs{);S)@#A;OOy,//  4a)) 	A%&&!++())Q..,--22"a   EEEEEEE "1  
 k)94@""5#5#5666HHKHHHHH 	^  	 "M!L8K!L!L!L" "" " "* * * * *s9~~&&* * *&
 GFc)nn0E0EFFFJFFc)nn0E0EFFFJ%)\!!!tG 
I			%)**,,	-	-  03|%G1
 1
 	 	,D$, 2B.K,+,,  +-99$$+FF$$K$K$K$K$KKK|$$q(("'."5"5 ,$ % %';% % %     &+ + +9@+ + + & & %)%7 #6 
# 
#K |[9  A'	              . 
I #%)+&!$Yj!I!I 8 8dIY__YW_55 	' 	'4;L	' 	' 	' 	' 	' 	' 	' 	' 	' 	' 	' 	' 	' 	' 	' !& 3 @ @ N N#**5+A+ABBB*11$7777 (*$&(#;>344,--< <  C  C7ni
 $ $
 $
FT$
 $
 $
 
 
 JJJJJJJ|q  99  #n11(  T T,@ T T TTT!&&W&W2E&W&W&W!W!W $!3 2                  ' 	0 	0C  0[%<"))+h*?@@@A"))$////"#566(//0CDDD'../ABBBB %,,...#++---4 4 4 4l $&CY'' "  " 400qMqM&q)&q).q1.q1'*,Q/+A.

 

 dEHO,, 	     0/dmWdl DL JJtJJw 1v::s8   COOO&P88P<	?P<	AV,,V0	3V0	)r   r   rJ   )rf   FN)rg   re   rh   ri   rj   rD   rk   r   r-   r.   r   re   )rg   rn   rh   ro   rj   rD   rk   r   r-   r.   r   rn   )rg   rq   rh   rr   rj   rD   rk   r   r-   r.   r   rq   )&
__future__r   r   collections.abcr   r   r   r   r   r	   typing_extensionsr
   r   r   r#   r   	torch.xpur   _utilsr   __all__r   r   hasattr_C__dict__torch._Cr   r   r   r   r   r   r   r`   re   rc   r   r   r    r!   <module>r     s   " " " " " " "  $ $ $ $ $ $ F F F F F F F F F F F F F F 6 6 6 6 6 6 6 6 6 6         '&&&&&&               WT]]Yt__wux)** %0[%=%=EHk"2=+>V2W2WEH./9D': :EH56
 V U U U U U U U U U+ + + +< < < <
^, ^, ^, ^, ^,y ^, ^, ^,B5( 5( 5( 5( 5( 5( 5( 5(p  %%6f8M%MN  N N N N 
 $#'    
 
 $#'( ( ( ( 
( $#'p p p p p p pr    