<div dir="ltr"><div><div><div><div><div>HI all,<br><br></div><div>I the only unexpected memory usage I can see is associated with the call to MatPtAP().<br></div><div>Here is something you can try immediately.<br></div></div>Run your code with the additional options<br> -matrap 0 -matptap_scalable<br><br></div><div>I didn't realize this before, but the default behaviour of MatPtAP in parallel is actually to to explicitly form the transpose of P (e.g. assemble R = P^T) and then compute R.A.P. <br>You don't want to do this. The option -matrap 0 resolves this issue.<br></div><div><br></div><div>The implementation of P^T.A.P has two variants. <br>The scalable implementation (with respect to memory usage) is selected via the second option -matptap_scalable.</div><div><br></div><div>Try it out - I see a significant memory reduction using these options for particular mesh sizes / partitions.<br></div><div><br></div>I've attached a cleaned up version of the code you sent me.<br></div>There were a number of memory leaks and other issues.<br></div><div>The main points being<br></div> * You should call DMDAVecGetArrayF90() before VecAssembly{Begin,End}<br> * You should call PetscFinalize(), otherwise the option -log_summary (-log_view) will not display anything once the program has completed.<br> <div><div><div><br><br></div><div>Thanks,<br></div><div> Dave<br></div><div><div><div><br></div></div></div></div></div></div><div class="gmail_extra"><br><div class="gmail_quote">On 15 September 2016 at 08:03, Hengjie Wang <span dir="ltr"><<a href="mailto:hengjiew@uci.edu" target="_blank">hengjiew@uci.edu</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div bgcolor="#FFFFFF" text="#000000">
Hi Dave,<br>
<br>
Sorry, I should have put more comment to explain the code. <br>
The number of process in each dimension is the same: Px = Py=Pz=P.
So is the domain size.<br>
So if the you want to run the code for a 512^3 grid points on 16^3
cores, you need to set "-N 512 -P 16" in the command line.<br>
I add more comments and also fix an error in the attached code. (
The error only effects the accuracy of solution but not the memory
usage. ) <br>
<div><br>
Thank you.<span class="HOEnZb"><font color="#888888"><br>
Frank</font></span><div><div class="h5"><br>
<br>
On 9/14/2016 9:05 PM, Dave May wrote:<br>
</div></div></div><div><div class="h5">
<blockquote type="cite"><br>
<br>
On Thursday, 15 September 2016, Dave May <<a href="mailto:dave.mayhem23@gmail.com" target="_blank">dave.mayhem23@gmail.com</a>>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><br>
<br>
On Thursday, 15 September 2016, frank <<a>hengjiew@uci.edu</a>> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div bgcolor="#FFFFFF" text="#000000"> Hi, <br>
<br>
I write a simple code to re-produce the error. I hope this
can help to diagnose the problem.<br>
The code just solves a 3d poisson equation. </div>
</blockquote>
<div><br>
</div>
<div>Why is the stencil width a runtime parameter?? And why is
the default value 2? For 7-pnt FD Laplace, you only need
a stencil width of 1. </div>
<div><br>
</div>
<div>Was this choice made to mimic something in the
real application code?</div>
</blockquote>
<div><br>
</div>
Please ignore - I misunderstood your usage of the param set by -P
<div>
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div> </div>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div bgcolor="#FFFFFF" text="#000000"><br>
I run the code on a 1024^3 mesh. The process partition is
32 * 32 * 32. That's when I re-produce the OOM error. Each
core has about 2G memory.<br>
I also run the code on a 512^3 mesh with 16 * 16 * 16
processes. The ksp solver works fine. <br>
I attached the code, ksp_view_pre's output and my petsc
option file.<br>
<br>
Thank you.<br>
Frank<br>
<div><br>
On 09/09/2016 06:38 PM, Hengjie Wang wrote:<br>
</div>
<blockquote type="cite">Hi Barry,
<div><br>
</div>
<div>I checked. On the supercomputer, I had the option
"-ksp_view_pre" but it is not in file I sent you. I am
sorry for the confusion.</div>
<div><br>
</div>
<div>Regards,</div>
<div>Frank<span></span><br>
<br>
On Friday, September 9, 2016, Barry Smith <<a>bsmith@mcs.anl.gov</a>>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><br>
> On Sep 9, 2016, at 3:11 PM, frank <<a>hengjiew@uci.edu</a>>
wrote:<br>
><br>
> Hi Barry,<br>
><br>
> I think the first KSP view output is from
-ksp_view_pre. Before I submitted the test, I was
not sure whether there would be OOM error or not. So
I added both -ksp_view_pre and -ksp_view.<br>
<br>
But the options file you sent specifically does
NOT list the -ksp_view_pre so how could it be from
that?<br>
<br>
Sorry to be pedantic but I've spent too much time
in the past trying to debug from incorrect
information and want to make sure that the
information I have is correct before thinking.
Please recheck exactly what happened. Rerun with the
exact input file you emailed if that is needed.<br>
<br>
Barry<br>
<br>
><br>
> Frank<br>
><br>
><br>
> On 09/09/2016 12:38 PM, Barry Smith wrote:<br>
>> Why does ksp_view2.txt have two KSP views
in it while ksp_view1.txt has only one KSPView in
it? Did you run two different solves in the 2 case
but not the one?<br>
>><br>
>> Barry<br>
>><br>
>><br>
>><br>
>>> On Sep 9, 2016, at 10:56 AM, frank <<a>hengjiew@uci.edu</a>>
wrote:<br>
>>><br>
>>> Hi,<br>
>>><br>
>>> I want to continue digging into the
memory problem here.<br>
>>> I did find a work around in the past,
which is to use less cores per node so that each
core has 8G memory. However this is deficient and
expensive. I hope to locate the place that uses the
most memory.<br>
>>><br>
>>> Here is a brief summary of the tests I
did in past:<br>
>>>> Test1: Mesh 1536*128*384 |
Process Mesh 48*4*12<br>
>>> Maximum (over computational time)
process memory: total 7.0727e+08<br>
>>> Current process memory:
total
7.0727e+08<br>
>>> Maximum (over computational time) space
PetscMalloc()ed: total 6.3908e+11<br>
>>> Current space PetscMalloc()ed:
total
1.8275e+09<br>
>>><br>
>>>> Test2: Mesh 1536*128*384 |
Process Mesh 96*8*24<br>
>>> Maximum (over computational time)
process memory: total 5.9431e+09<br>
>>> Current process memory:
total
5.9431e+09<br>
>>> Maximum (over computational time) space
PetscMalloc()ed: total 5.3202e+12<br>
>>> Current space PetscMalloc()ed:
total
5.4844e+09<br>
>>><br>
>>>> Test3: Mesh 3072*256*768 |
Process Mesh 96*8*24<br>
>>> OOM( Out Of Memory ) killer of the
supercomputer terminated the job during "KSPSolve".<br>
>>><br>
>>> I attached the output of ksp_view( the
third test's output is from ksp_view_pre ),
memory_view and also the petsc options.<br>
>>><br>
>>> In all the tests, each core can access
about 2G memory. In test3, there are 4223139840
non-zeros in the matrix. This will consume about
1.74M, using double precision. Considering some
extra memory used to store integer index, 2G memory
should still be way enough.<br>
>>><br>
>>> Is there a way to find out which part
of KSPSolve uses the most memory?<br>
>>> Thank you so much.<br>
>>><br>
>>> BTW, there are 4 options remains unused
and I don't understand why they are omitted:<br>
>>> -mg_coarse_telescope_mg_coarse<wbr>_ksp_type
value: preonly<br>
>>> -mg_coarse_telescope_mg_coarse<wbr>_pc_type
value: bjacobi<br>
>>> -mg_coarse_telescope_mg_levels<wbr>_ksp_max_it
value: 1<br>
>>> -mg_coarse_telescope_mg_levels<wbr>_ksp_type
value: richardson<br>
>>><br>
>>><br>
>>> Regards,<br>
>>> Frank<br>
>>><br>
>>> On 07/13/2016 05:47 PM, Dave May wrote:<br>
>>>><br>
>>>> On 14 July 2016 at 01:07, frank
<<a>hengjiew@uci.edu</a>>
wrote:<br>
>>>> Hi Dave,<br>
>>>><br>
>>>> Sorry for the late reply.<br>
>>>> Thank you so much for your detailed
reply.<br>
>>>><br>
>>>> I have a question about the
estimation of the memory usage. There are 4223139840
allocated non-zeros and 18432 MPI processes. Double
precision is used. So the memory per process is:<br>
>>>> 4223139840 * 8bytes / 18432 /
1024 / 1024 = 1.74M ?<br>
>>>> Did I do sth wrong here? Because
this seems too small.<br>
>>>><br>
>>>> No - I totally f***ed it up. You
are correct. That'll teach me for fumbling around
with my iphone calculator and not using my brain.
(Note that to convert to MB just divide by 1e6, not
1024^2 - although I apparently cannot convert
between units correctly....)<br>
>>>><br>
>>>> From the PETSc objects associated
with the solver, It looks like it _should_ run with
2GB per MPI rank. Sorry for my mistake.
Possibilities are: somewhere in your usage of PETSc
you've introduced a memory leak; PETSc is doing a
huge over allocation (e.g. as per our discussion of
MatPtAP); or in your application code there are
other objects you have forgotten to log the memory
for.<br>
>>>><br>
>>>><br>
>>>><br>
>>>> I am running this job on Bluewater<br>
>>>> I am using the 7 points FD stencil
in 3D.<br>
>>>><br>
>>>> I thought so on both counts.<br>
>>>><br>
>>>> I apologize that I made a stupid
mistake in computing the memory per core. My
settings render each core can access only 2G memory
on average instead of 8G which I mentioned in
previous email. I re-run the job with 8G memory per
core on average and there is no "Out Of Memory"
error. I would do more test to see if there is still
some memory issue.<br>
>>>><br>
>>>> Ok. I'd still like to know where
the memory was being used since my estimates were
off.<br>
>>>><br>
>>>><br>
>>>> Thanks,<br>
>>>> Dave<br>
>>>><br>
>>>> Regards,<br>
>>>> Frank<br>
>>>><br>
>>>><br>
>>>><br>
>>>> On 07/11/2016 01:18 PM, Dave May
wrote:<br>
>>>>> Hi Frank,<br>
>>>>><br>
>>>>><br>
>>>>> On 11 July 2016 at 19:14, frank
<<a>hengjiew@uci.edu</a>>
wrote:<br>
>>>>> Hi Dave,<br>
>>>>><br>
>>>>> I re-run the test using bjacobi
as the preconditioner on the coarse mesh of
telescope. The Grid is 3072*256*768 and process mesh
is 96*8*24. The petsc option file is attached.<br>
>>>>> I still got the "Out Of Memory"
error. The error occurred before the linear solver
finished one step. So I don't have the full info
from ksp_view. The info from ksp_view_pre is
attached.<br>
>>>>><br>
>>>>> Okay - that is essentially
useless (sorry)<br>
>>>>><br>
>>>>> It seems to me that the error
occurred when the decomposition was going to be
changed.<br>
>>>>><br>
>>>>> Based on what information?<br>
>>>>> Running with -info would give
us more clues, but will create a ton of output.<br>
>>>>> Please try running the case
which failed with -info<br>
>>>>> I had another test with a grid
of 1536*128*384 and the same process mesh as above.
There was no error. The ksp_view info is attached
for comparison.<br>
>>>>> Thank you.<br>
>>>>><br>
>>>>><br>
>>>>> [3] Here is my crude estimate
of your memory usage.<br>
>>>>> I'll target the biggest memory
hogs only to get an order of magnitude estimate<br>
>>>>><br>
>>>>> * The Fine grid operator
contains 4223139840 non-zeros --> 1.8 GB per MPI
rank assuming double precision.<br>
>>>>> The indices for the AIJ could
amount to another 0.3 GB (assuming 32 bit integers)<br>
>>>>><br>
>>>>> * You use 5 levels of
coarsening, so the other operators should represent
(collectively)<br>
>>>>> 2.1 / 8 + 2.1/8^2 + 2.1/8^3 +
2.1/8^4 ~ 300 MB per MPI rank on the communicator
with 18432 ranks.<br>
>>>>> The coarse grid should consume
~ 0.5 MB per MPI rank on the communicator with 18432
ranks.<br>
>>>>><br>
>>>>> * You use a reduction factor of
64, making the new communicator with 288 MPI ranks.<br>
>>>>> PCTelescope will first gather a
temporary matrix associated with your coarse level
operator assuming a comm size of 288 living on the
comm with size 18432.<br>
>>>>> This matrix will require
approximately 0.5 * 64 = 32 MB per core on the 288
ranks.<br>
>>>>> This matrix is then used to
form a new MPIAIJ matrix on the subcomm, thus
require another 32 MB per rank.<br>
>>>>> The temporary matrix is now
destroyed.<br>
>>>>><br>
>>>>> * Because a DMDA is detected, a
permutation matrix is assembled.<br>
>>>>> This requires 2 doubles per
point in the DMDA.<br>
>>>>> Your coarse DMDA contains 92 x
16 x 48 points.<br>
>>>>> Thus the permutation matrix
will require < 1 MB per MPI rank on the sub-comm.<br>
>>>>><br>
>>>>> * Lastly, the matrix is
permuted. This uses MatPtAP(), but the resulting
operator will have the same memory footprint as the
unpermuted matrix (32 MB). At any stage in
PCTelescope, only 2 operators of size 32 MB are held
in memory when the DMDA is provided.<br>
>>>>><br>
>>>>> From my rough estimates, the
worst case memory foot print for any given core,
given your options is approximately<br>
>>>>> 2100 MB + 300 MB + 32 MB + 32
MB + 1 MB = 2465 MB<br>
>>>>> This is way below 8 GB.<br>
>>>>><br>
>>>>> Note this estimate completely
ignores:<br>
>>>>> (1) the memory required for the
restriction operator,<br>
>>>>> (2) the potential growth in the
number of non-zeros per row due to Galerkin
coarsening (I wished -ksp_view_pre reported the
output from MatView so we could see the number of
non-zeros required by the coarse level operators)<br>
>>>>> (3) all temporary vectors
required by the CG solver, and those required by the
smoothers.<br>
>>>>> (4) internal memory allocated
by MatPtAP<br>
>>>>> (5) memory associated with IS's
used within PCTelescope<br>
>>>>><br>
>>>>> So either I am completely off
in my estimates, or you have not carefully estimated
the memory usage of your application code. Hopefully
others might examine/correct my rough estimates<br>
>>>>><br>
>>>>> Since I don't have your code I
cannot access the latter.<br>
>>>>> Since I don't have access to
the same machine you are running on, I think we need
to take a step back.<br>
>>>>><br>
>>>>> [1] What machine are you
running on? Send me a URL if its available<br>
>>>>><br>
>>>>> [2] What discretization are you
using? (I am guessing a scalar 7 point FD stencil)<br>
>>>>> If it's a 7 point FD stencil,
we should be able to examine the memory usage of
your solver configuration using a standard, light
weight existing PETSc example, run on your machine
at the same scale.<br>
>>>>> This would hopefully enable us
to correctly evaluate the actual memory usage
required by the solver configuration you are using.<br>
>>>>><br>
>>>>> Thanks,<br>
>>>>> Dave<br>
>>>>><br>
>>>>><br>
>>>>> Frank<br>
>>>>><br>
>>>>><br>
>>>>><br>
>>>>><br>
>>>>> On 07/08/2016 10:38 PM, Dave
May wrote:<br>
>>>>>><br>
>>>>>> On Saturday, 9 July 2016,
frank <<a>hengjiew@uci.edu</a>>
wrote:<br>
>>>>>> Hi Barry and Dave,<br>
>>>>>><br>
>>>>>> Thank both of you for the
advice.<br>
>>>>>><br>
>>>>>> @Barry<br>
>>>>>> I made a mistake in the
file names in last email. I attached the correct
files this time.<br>
>>>>>> For all the three tests,
'Telescope' is used as the coarse preconditioner.<br>
>>>>>><br>
>>>>>> == Test1: Grid:
1536*128*384, Process Mesh: 48*4*12<br>
>>>>>> Part of the memory usage:
Vector 125 124 3971904 0.<br>
>>>>>>
Matrix 101 101 9462372
0<br>
>>>>>><br>
>>>>>> == Test2: Grid:
1536*128*384, Process Mesh: 96*8*24<br>
>>>>>> Part of the memory usage:
Vector 125 124 681672 0.<br>
>>>>>>
Matrix 101 101 1462180
0.<br>
>>>>>><br>
>>>>>> In theory, the memory usage
in Test1 should be 8 times of Test2. In my case, it
is about 6 times.<br>
>>>>>><br>
>>>>>> == Test3: Grid:
3072*256*768, Process Mesh: 96*8*24. Sub-domain
per process: 32*32*32<br>
>>>>>> Here I get the out of
memory error.<br>
>>>>>><br>
>>>>>> I tried to use -mg_coarse
jacobi. In this way, I don't need to set
-mg_coarse_ksp_type and -mg_coarse_pc_type
explicitly, right?<br>
>>>>>> The linear solver didn't
work in this case. Petsc output some errors.<br>
>>>>>><br>
>>>>>> @Dave<br>
>>>>>> In test3, I use only one
instance of 'Telescope'. On the coarse mesh of
'Telescope', I used LU as the preconditioner instead
of SVD.<br>
>>>>>> If my set the levels
correctly, then on the last coarse mesh of MG where
it calls 'Telescope', the sub-domain per process is
2*2*2.<br>
>>>>>> On the last coarse mesh of
'Telescope', there is only one grid point per
process.<br>
>>>>>> I still got the OOM error.
The detailed petsc option file is attached.<br>
>>>>>><br>
>>>>>> Do you understand the
expected memory usage for the particular parallel LU
implementation you are using? I don't (seriously).
Replace LU with bjacobi and re-run this test. My
point about solver debugging is still valid.<br>
>>>>>><br>
>>>>>> And please send the result
of KSPView so we can see what is actually used in
the computations<br>
>>>>>><br>
>>>>>> Thanks<br>
>>>>>> Dave<br>
>>>>>><br>
>>>>>><br>
>>>>>> Thank you so much.<br>
>>>>>><br>
>>>>>> Frank<br>
>>>>>><br>
>>>>>><br>
>>>>>><br>
>>>>>> On 07/06/2016 02:51 PM,
Barry Smith wrote:<br>
>>>>>> On Jul 6, 2016, at 4:19 PM,
frank <<a>hengjiew@uci.edu</a>>
wrote:<br>
>>>>>><br>
>>>>>> Hi Barry,<br>
>>>>>><br>
>>>>>> Thank you for you advice.<br>
>>>>>> I tried three test. In the
1st test, the grid is 3072*256*768 and the process
mesh is 96*8*24.<br>
>>>>>> The linear solver is 'cg'
the preconditioner is 'mg' and 'telescope' is used
as the preconditioner at the coarse mesh.<br>
>>>>>> The system gives me the
"Out of Memory" error before the linear system is
completely solved.<br>
>>>>>> The info from
'-ksp_view_pre' is attached. I seems to me that the
error occurs when it reaches the coarse mesh.<br>
>>>>>><br>
>>>>>> The 2nd test uses a grid of
1536*128*384 and process mesh is 96*8*24. The 3rd
test uses
the same grid but a different process mesh 48*4*12.<br>
>>>>>> Are you sure this is
right? The total matrix and vector memory usage goes
from 2nd test<br>
>>>>>> Vector
384 383 8,193,712 0.<br>
>>>>>> Matrix
103 103 11,508,688 0.<br>
>>>>>> to 3rd test<br>
>>>>>> Vector 384
383 1,590,520 0.<br>
>>>>>> Matrix
103 103 3,508,664 0.<br>
>>>>>> that is the memory usage
got smaller but if you have only 1/8th the processes
and the same grid it should have gotten about 8
times bigger. Did you maybe cut the grid by a factor
of 8 also? If so that still doesn't explain it
because the memory usage changed by a factor of 5
something for the vectors and 3 something for the
matrices.<br>
>>>>>><br>
>>>>>><br>
>>>>>> The linear solver and petsc
options in 2nd and 3rd tests are the same in 1st
test. The linear solver works fine in both test.<br>
>>>>>> I attached the memory usage
of the 2nd and 3rd tests. The memory info is from
the option '-log_summary'. I tried to use
'-momery_info' as you suggested, but in my case
petsc treated it as an unused option. It output
nothing about the memory. Do I need to add sth to my
code so I can use '-memory_info'?<br>
>>>>>> Sorry, my mistake the
option is -memory_view<br>
>>>>>><br>
>>>>>> Can you run the one case
with -memory_view and -mg_coarse jacobi -ksp_max_it
1 (just so it doesn't iterate forever) to see how
much memory is used without the telescope? Also run
case 2 the same way.<br>
>>>>>><br>
>>>>>> Barry<br>
>>>>>><br>
>>>>>><br>
>>>>>><br>
>>>>>> In both tests the memory
usage is not large.<br>
>>>>>><br>
>>>>>> It seems to me that it
might be the 'telescope' preconditioner that
allocated a lot of memory and caused the error in
the 1st test.<br>
>>>>>> Is there is a way to show
how much memory it allocated?<br>
>>>>>><br>
>>>>>> Frank<br>
>>>>>><br>
>>>>>> On 07/05/2016 03:37 PM,
Barry Smith wrote:<br>
>>>>>> Frank,<br>
>>>>>><br>
>>>>>> You can run with
-ksp_view_pre to have it "view" the KSP before the
solve so hopefully it gets that far.<br>
>>>>>><br>
>>>>>> Please run the
problem that does fit with -memory_info when the
problem completes it will show the "high water mark"
for PETSc allocated memory and total memory used. We
first want to look at these numbers to see if it is
using more memory than you expect. You could also
run with say half the grid spacing to see how the
memory usage scaled with the increase in grid
points. Make the runs also with -log_view and send
all the output from these options.<br>
>>>>>><br>
>>>>>> Barry<br>
>>>>>><br>
>>>>>> On Jul 5, 2016, at 5:23 PM,
frank <<a>hengjiew@uci.edu</a>>
wrote:<br>
>>>>>><br>
>>>>>> Hi,<br>
>>>>>><br>
>>>>>> I am using the CG ksp
solver and Multigrid preconditioner to solve a
linear system in parallel.<br>
>>>>>> I chose to use the
'Telescope' as the preconditioner on the coarse mesh
for its good performance.<br>
>>>>>> The petsc options file is
attached.<br>
>>>>>><br>
>>>>>> The domain is a 3d box.<br>
>>>>>> It works well when the grid
is 1536*128*384 and the process mesh is 96*8*24.
When I double the size of grid and
keep the same process
mesh and petsc options, I get an "out of memory"
error from the super-cluster I am using.<br>
>>>>>> Each process has access to
at least 8G memory, which should be more than enough
for my application. I am sure that all the other
parts of my code( except the linear solver ) do not
use much memory. So I doubt if there is something
wrong with the linear solver.<br>
>>>>>> The error occurs before the
linear system is completely solved so I don't have
the info from ksp view. I am not able to re-produce
the error with a smaller problem either.<br>
>>>>>> In addition, I tried to
use the block jacobi as the preconditioner with the
same grid and same decomposition. The linear solver
runs extremely slow but there is no memory error.<br>
>>>>>><br>
>>>>>> How can I diagnose what
exactly cause the error?<br>
>>>>>> Thank you so much.<br>
>>>>>><br>
>>>>>> Frank<br>
>>>>>> <petsc_options.txt><br>
>>>>>>
<ksp_view_pre.txt><memory_test<wbr>2.txt><memory_test3.txt><petsc<wbr>_options.txt><br>
>>>>>><br>
>>>>><br>
>>>><br>
>>>
<ksp_view1.txt><ksp_view2.txt><wbr><ksp_view3.txt><memory1.txt><m<wbr>emory2.txt><petsc_options1.txt<wbr>><petsc_options2.txt><petsc_op<wbr>tions3.txt><br>
><br>
<br>
</blockquote>
</div>
</blockquote>
<br>
</div>
</blockquote>
<div> </div>
</blockquote>
</div>
</blockquote>
<br>
</div></div></div>
</blockquote></div><br></div>