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From: Igor Fedotov <ifedotov@mirantis.com>
To: Allen Samuels <Allen.Samuels@sandisk.com>, Sage Weil <sage@newdream.net>
Cc: ceph-devel <ceph-devel@vger.kernel.org>
Subject: Re: Adding compression support for bluestore.
Date: Fri, 26 Feb 2016 20:41:04 +0300	[thread overview]
Message-ID: <56D08E30.20308@mirantis.com> (raw)
In-Reply-To: <CY1PR0201MB1897BC7052AD6F7FB01DCAB4E8A50@CY1PR0201MB1897.namprd02.prod.outlook.com>

Allen,
sounds good! Thank you.

Please find the updated proposal below. It extends proposed Block Map to 
contain "full tuple".
Some improvements and better algorithm overview were added as well.

Preface:
Bluestore keeps object content using a set of dispersed extents aligned 
by 64K (configurable param). It also permits gaps in object content i.e. 
it prevents storage space allocation for object data regions unaffected 
by user writes.
A sort of following mapping is used for tracking stored object content 
disposition (actual current implementation may differ but representation 
below seems to be sufficient for our purposes):
Extent Map
{
< logical offset 0 -> extent 0 'physical' offset, extent 0 size >
...
< logical offset N -> extent N 'physical' offset, extent N size >
}


Compression support approach:
The aim is to provide generic compression support allowing random object 
read/write.
To do that compression engine to be placed (logically - actual 
implementation may be discussed later) on top of bluestore to 
"intercept" read-write requests and modify them as needed.
The major idea is to split object content into variable sized logical 
blocks that are compressed independently. Resulting block offsets and 
sizes depends mostly on client writes spreading and block merging 
algorithm that compression engine can provide. Maximum size of each 
block to be limited ( MAX_BLOCK_SIZE,  e.g. 4 Mb ) to prevent from huge 
block processing when handling read/overwrites.

Due to compression each block can potentially occupy smaller store space 
comparing to its original size. Each block is addressed using original 
data offset ( AKA 'logical offset' above ). After compression is applied 
each compressed block is written using the existing bluestore infra. 
Updated write request to the bluestore specifies the block's logical 
offset similar to the one from the original request but data length can 
be reduced.
As a result stored object content:
a) Has gaps
b) Uses less space if compression was beneficial enough.

To track compressed content additional block mapping to be introduced:
Block Map
{
< logical block offset, logical block size -> compression method, target 
offset, compressed size >
...
< logical block offset, logical block size -> compression method, target 
offset, compressed size >
}
Note 1: Actually for the current proposal target offset is always equal 
to the logical one. It's crucial that compression doesn't perform 
complete address(offset) translation but simply brings "space saving 
holes" into existing object content layout. This eliminates the need for 
significant bluestore interface modifications.

To effectively use store space one needs an additional ability from the 
bluestore interface - release logical extent within object content as 
well as underlying physical extents allocated for it. In fact current 
interface (Write request) allows to "allocate" ( by writing data) 
logical extent while leaving some of them "unallocated" (by omitting 
corresponding range). But there is no release procedure - move extent to 
"unallocated" space. Please note - this is mainly about logical extent - 
a region within object content. Means for allocate/release physical 
extents (regions at block device) are present.
In case of compression such logical extent release is most probably 
paired with writing to the same ( but reduced ) extent. And it looks 
like there is no need for standalone "release" request. So the 
suggestion is to introduce extended write request (WRITE+RELEASE) that 
releases specified logical extent and writes new data block. The key 
parameters for the request are: DATA2WRITE_LOFFSET, DATA2WRITE_SIZE, 
RELEASED_EXTENT_LOFFSET, RELEASED_EXTENT_SIZE
where:
assert(DATA2WRITE_LOFFSET >= RELEASED_EXTENT_LOFFSET)
assert(RELEASED_EXTENT_LOFFSET + RELEASED_EXTENT_SIZE >= 
DATA2WRITE_LOFFSET + DATA2WRITE_SIZE)

Due to the fact that bluestore infrastructure tracks extents with some 
granularity (bluestore_min_alloc_size, 64Kb by default) 
RELEASED_EXTENT_LOFFSET & RELEASED_EXTENT_SIZE should by aligned at 
bluestore_min_alloc_size boundary:
assert(RELEASED_EXTENT_LOFFSET % min_alloc_size == 0);
assert(RELEASED_EXTENT_SIZE % min_alloc_size == 0);

As a result compression engine gains a responsibility to properly handle 
cases when some blocks use the same bluestore allocation unit but aren't 
fully adjacent (see below for details).


Overwrite request handling can be done following way:
0) Write request <logical offset(OFFS), Data Len(LEN)> is received by 
the compression engine.
1) Engine inspects the Block Map and checks if new block <OFFS, LEN> 
intersects with existing ones.
Following cases for existing blocks are possible -
   a) Detached
   b) Adjacent
   c) Partially overwritten
   d) Completely overwritten

2) Engine retrieves(and decompresses if needed) content for existing 
blocks from case c) and, optionally, b). Blocks for case b) are handled 
if compression engine should provide block merge algorithm, i.e. it has 
to merge adjacent blocks to decrease block fragmentation. There are two 
options here with regard to what to be considered as adjacent. The first 
is a regular notion (henceforth - fully adjacent) - blocks are next to 
each other and there are no holes between them. The second is that 
blocks are adjacent when they are either fully adjacent or reside in the 
same (or probably neighboring) bluestore allocation unit(s). It looks 
like the second notion provides better space reuse and simplifies 
handling the case when blocks reside at the same allocation unit but are 
not fully adjacent. We can treat that the same manner as fully adjacent 
blocks. The cost is potential increase in amount of data overwrite 
request handling has to process (i.e. read/decompress/compress/write). 
But that's the general caveat if block merge is used.
3) Retrieved block contents and the new one are merged. Resulting block 
might have different logical offset/len pair: <OFFS_MERGED, LEN_MERGED>. 
If resulting block is longer than BLOCK_MAX_LEN it's broken up into 
smaller blocks that are processed independently in the same manner.
4) Generated block is compressed. Corresponding tuple <OFFS_MERGED, 
LEN_MERGED, LEN_COMPRESSED, ALG>.
5) Block map is updated: merged/overwritten blocks are removed - the 
generated ones are appended.
6) If generated block ( OFFS_MERGED, LEN_MERGED ) still shares bluestore 
allocation units with some existing blocks, e.g. if block merge 
algorithm isn't used(implemented), then overlapping regions to be 
excluded from the release procedure performed at step 8:
if( shares_head )
   RELEASE_EXTENT_OFFSET = ROUND_UP_TO( OFFS_MERGED, min_alloc_unit_size )
else
   RELEASE_EXTENT_OFFSET = ROUND_DOWN_TO( OFFS_MERGED, min_alloc_unit_size )
if( shares_tail )
   RELEASE_EXTENT_OFFSET_END = ROUND_DOWN_TO( OFFS_MERGED + LEN_MERGED, 
min_alloc_unit_size )
else
   RELEASE_EXTENT_OFFSET_END = ROUND_UP_TO( OFFS_MERGED + LEN_MERGED, 
min_alloc_unit_size )

Thus we might squeeze the extent to release if other blocks use that space.

7) If compressed block ( OFFS_MERGED, LEN_COMPRESSED ) still shares 
bluestore allocation units with some existing blocks, e.g. if block 
merge algorithm isn't used(implemented), then overlapping regions (head 
and tail) to be written to bluestore using regular bluestore writes. 
HEAD_LEN & HEAD_TAIL bytes are written correspondingly.
8) The rest part of the new block should be written using above 
mentioned WRITE+RELEASE request. Following parameters to be used for the 
request:
DATA2WRITE_LOFFSET = OFFS_MERGED + HEAD_LEN
DATA2WRITE_SIZE = LEN_COMPRESSED - HEAD_LEN - TAIL_LEN
RELEASED_EXTENT_LOFFSET = RELEASED_EXTENT_OFFSET
RELEASED_EXTENT_SIZE =  RELEASE_EXTENT_OFFSET_END - RELEASE_EXTENT_OFFSET
where:
#define ROUND_DOWN_TO( a, size ) (a - a % size)

This way we release the extent corresponding to the newly generated 
block ( except partially overlapping tail and head parts if any ) and 
write compressed block to the store that allocates a new extent.

Below is a sample of mappings transform. All values are in Kb.
1) Block merge is used.

Original Block Map
{
    0, 50 -> 0, 50 , No compress
    140, 50 -> 140, 50, No Compress       ( will merge this block, partially overwritten )
    255, 100 -> 255, 100, No Compress     ( will merge this block, implicitly adjacent )
    512, 64 -> 512, 64, No Compress
}

=> Write ( 150, 100 )

New Block Map
{
    0, 50 -> 0, 50 Kb, No compress
    140, 215 -> 140, 100, zlib   ( 215 Kb compressed into 100 Kb )
    512, 64 -> 512, 64, No Compress
}

Operations on the bluestore:
READ( 140, 50)
READ( 255, 100)
WRITE-RELEASE( <140, 100>, <128, 256> )

2) No block merge.

Original Block Map
{
    0, 50 -> 0, 50 , No compress
    140, 50 -> 140, 50, No Compress
    255, 100 -> 255, 100, No Compress
    512, 64 -> 512, 64, No Compress
}

=> Write ( 150, 100 )

New Block Map
{
    0, 50 -> 0, 50 Kb, No compress
    140, 110 -> 140, 110, No Compress
    255, 100 -> 255, 100, No Compress
    512, 64 -> 512, 64, No Compress
}

Operations on the bluestore:
READ(140, 50)
WRITE-RELEASE( <140, 52>, <128, 64> )
WRITE( <192, 58> )


Any comments/suggestions are highly appreciated.

Kind regards,
Igor.


On 24.02.2016 21:43, Allen Samuels wrote:
> w.r.t. (1) Except for "permanent" -- essentially yes. My central point is that by having the full tuple you decouple the actual algorithm from its persistent expression. In the example that you give, you have one representation of the final result. There are other possible final results (i.e., by RMWing some of the smaller chunks -- as you originally proposed). You even have the option of doing the RMWing/compaction in a background low-priority process (part of the scrub?).
>
> You may be right about the effect of (2), but maybe not.
>
> I agree that more discussion about checksums is useful. It's essential that BlueStore properly augment device-level integrity checks.
>
> Allen Samuels
> Software Architect, Emerging Storage Solutions
>
> 2880 Junction Avenue, Milpitas, CA 95134
> T: +1 408 801 7030| M: +1 408 780 6416
> allen.samuels@SanDisk.com
>
>
> -----Original Message-----
> From: Igor Fedotov [mailto:ifedotov@mirantis.com]
> Sent: Wednesday, February 24, 2016 10:19 AM
> To: Sage Weil <sage@newdream.net>; Allen Samuels <Allen.Samuels@sandisk.com>
> Cc: ceph-devel <ceph-devel@vger.kernel.org>
> Subject: Re: Adding compression support for bluestore.
>
> Allen, Sage
>
> thanks a lot for interesting input.
>
> May I have some clarification and highlight some caveats though?
>
> 1) Allen, are you suggesting to have permanent logical blocks layout established after the initial writing?
> Please find what I mean at the example below ( logical offset/size are provided only for the sake of simplicity).
> Imagine client has performed multiple writes that created following map <logical offset, logical size>:
> <0, 100>
> <100, 50>
> <150, 70>
> <230, 70>
> and an overwrite request <120,70> is coming.
> The question is if resulting mapping to be the same or should be updated as below:
> <0,100>
> <100, 20>    //updated extent
> <120, 100> //new extent
> <220, 10>   //updated extent
> <230, 70>
>
> 2) In fact "Application units" that write requests delivers to BlueStore are pretty( or even completely) distorted by Ceph internals (Caching infra, striping, EC). Thus there is a chance we are dealing with a broken picture and suggested modification brings no/minor benefit.
>
> 3) Sage - could you please elaborate the per-extent checksum use case - how are we planing to use that?
>
> Thanks,
> Igor.
>
> On 22.02.2016 15:25, Sage Weil wrote:
>> On Fri, 19 Feb 2016, Allen Samuels wrote:
>>> This is a good start to an architecture for performing compression.
>>>
>>> I am concerned that it's a bit too simple at the expense of
>>> potentially significant performance. In particular, I believe it's
>>> often inefficient to force compression to be performed in block sizes
>>> and alignments that may not match the application's usage.
>>>
>>>    I think that extent mapping should be enhanced to include the full
>>>    tuple: <Logical offset, Logical Size, Physical offset, Physical size,
>>>    compression algo>
>> I agree.
>>    
>>> With the full tuple, you can compress data in the natural units of
>>> the application (which is most likely the size of the write operation
>>> that you received) and on its natural alignment (which will eliminate
>>> a lot of expensive-and-hard-to-handle partial overwrites) rather than
>>> the proposal of a fixed size compression block on fixed boundaries.
>>>
>>> Using the application's natural block size for performing compression
>>> may allow you a greater choice of compression algorithms. For
>>> example, if you're doing 1MB object writes, then you might want to be
>>> using bzip-ish algorithms that have large compression windows rather
>>> than the 32-K limited zlib algorithm or the 64-k limited snappy. You
>>> wouldn't want to do that if all compression was limited to a fixed 64K window.
>>>
>>> With this extra information a number of interesting algorithm choices
>>> become available. For example, in the partial-overwrite case you can
>>> just delay recovering the partially overwritten data by having an
>>> extent that overlaps a previous extent.
>> Yep.
>>
>>> One objection to the increased extent tuple is that amount of
>>> space/memory it would consume. This need not be the case, the
>>> existing BlueStore architecture stores the extent map in a serialized
>>> format different from the in-memory format. It would be relatively
>>> simple to create multiple serialization formats that optimize for the
>>> typical cases of when the logical space is contiguous (i.e., logical
>>> offset is previous logical offset + logical size) and when there's no
>>> compression (logical size == physical size). Only the deserialized
>>> in-memory format of the extent table has the fully populated tuples.
>>> In fact this is a desirable optimization for the current bluestore
>>> regardless of whether this compression proposal is adopted or not.
>> Yeah.
>>
>> The other bit we should probably think about here is how to store
>> checksums.  In the compressed extent case, a simple approach would be
>> to just add the checksum (either compressed, uncompressed, or both) to
>> the extent tuple, since the extent will generally need to be read in
>> its entirety anyway.  For uncompressed extents, that's not the case,
>> and having an independent map of checksums over smaller block sizes
>> makes sense, but that doesn't play well with the variable
>> alignment/extent size approach.  I kind of sucks to have multiple
>> formats here, but if we can hide it behind the in-memory
>> representation and/or interface (so that, e.g., each extent has a
>> checksum block size and a vector of checksums) we can optimize the encoding however we like without affecting other code.
>>
>> sage
>>
>>> Allen Samuels
>>> Software Architect, Fellow, Systems and Software Solutions
>>>
>>> 2880 Junction Avenue, San Jose, CA 95134
>>> T: +1 408 801 7030| M: +1 408 780 6416 allen.samuels@SanDisk.com
>>>
>>>
>>> -----Original Message-----
>>> From: ceph-devel-owner@vger.kernel.org [mailto:ceph-devel-owner@vger.kernel.org] On Behalf Of Igor Fedotov
>>> Sent: Tuesday, February 16, 2016 4:11 PM
>>> To: Haomai Wang <haomaiwang@gmail.com>
>>> Cc: ceph-devel <ceph-devel@vger.kernel.org>
>>> Subject: Re: Adding compression support for bluestore.
>>>
>>> Hi Haomai,
>>> Thanks for your comments.
>>> Please find my response inline.
>>>
>>> On 2/16/2016 5:06 AM, Haomai Wang wrote:
>>>> On Tue, Feb 16, 2016 at 12:29 AM, Igor Fedotov <ifedotov@mirantis.com> wrote:
>>>>> Hi guys,
>>>>> Here is my preliminary overview how one can add compression support
>>>>> allowing random reads/writes for bluestore.
>>>>>
>>>>> Preface:
>>>>> Bluestore keeps object content using a set of dispersed extents
>>>>> aligned by 64K (configurable param). It also permits gaps in object
>>>>> content i.e. it prevents storage space allocation for object data
>>>>> regions unaffected by user writes.
>>>>> A sort of following mapping is used for tracking stored object
>>>>> content disposition (actual current implementation may differ but
>>>>> representation below seems to be sufficient for our purposes):
>>>>> Extent Map
>>>>> {
>>>>> < logical offset 0 -> extent 0 'physical' offset, extent 0 size > ...
>>>>> < logical offset N -> extent N 'physical' offset, extent N size > }
>>>>>
>>>>>
>>>>> Compression support approach:
>>>>> The aim is to provide generic compression support allowing random
>>>>> object read/write.
>>>>> To do that compression engine to be placed (logically - actual
>>>>> implementation may be discussed later) on top of bluestore to "intercept"
>>>>> read-write requests and modify them as needed.
>>>>> The major idea is to split object content into fixed size logical
>>>>> blocks ( MAX_BLOCK_SIZE,  e.g. 1Mb). Blocks are compressed
>>>>> independently. Due to compression each block can potentially occupy
>>>>> smaller store space comparing to their original size. Each block is
>>>>> addressed using original data offset ( AKA 'logical offset' above ).
>>>>> After compression is applied each block is written using the existing
>>>>> bluestore infra. In fact single original write request may affect
>>>>> multiple blocks thus it transforms into multiple sub-write requests.
>>>>> Block logical offset, compressed block data and compressed data length are the parameters for injected sub-write requests.
>>>>> As a result stored object content:
>>>>> a) Has gaps
>>>>> b) Uses less space if compression was beneficial enough.
>>>>>
>>>>> Overwrite request handling is pretty simple. Write request data is
>>>>> splitted into fully and partially overlapping blocks. Fully
>>>>> overlapping blocks are compressed and written to the store (given the
>>>>> extended write functionality described below). For partially
>>>>> overwlapping blocks ( no more than 2 of them
>>>>> - head and tail in general case)  we need to retrieve already stored
>>>>> blocks, decompress them, merge the existing and received data into a
>>>>> block, compress it and save to the store using new size.
>>>>> The tricky thing for any written block is that it can be both longer
>>>>> and shorter than previously stored one.  However it always has upper
>>>>> limit
>>>>> (MAX_BLOCK_SIZE) since we can omit compression and use original block
>>>>> if compression ratio is poor. Thus corresponding bluestore extent for
>>>>> this block is limited too and existing bluestore mapping doesn't
>>>>> suffer: offsets are permanent and are equal to originally ones provided by the caller.
>>>>> The only extension required for bluestore interface is to provide an
>>>>> ability to remove existing extents( specified by logical offset,
>>>>> size). In other words we need write request semantics extension (
>>>>> rather by introducing an additional extended write method). Currently
>>>>> overwriting request can either increase allocated space or leave it
>>>>> unaffected only. And it can have arbitrary offset,size parameters
>>>>> pair. Extended one should be able to squeeze store space ( e.g. by
>>>>> removing existing extents for a block and allocating reduced set of
>>>>> new ones) as well. And extended write should be applied to a specific
>>>>> block only, i.e. logical offset to be aligned with block start offset
>>>>> and size limited to MAX_BLOCK_SIZE. It seems this is pretty simple to
>>>>> add - most of the functionality for extent append/removal if already present.
>>>>>
>>>>> To provide reading and (over)writing compression engine needs to
>>>>> track additional block mapping:
>>>>> Block Map
>>>>> {
>>>>> < logical offset 0 -> compression method, compressed block 0 size >
>>>>> ...
>>>>> < logical offset N -> compression method, compressed block N size > }
>>>>> Please note that despite the similarity with the original bluestore
>>>>> extent map the difference is in record granularity: 1Mb vs 64Kb. Thus
>>>>> each block mapping record might have multiple corresponding extent mapping records.
>>>>>
>>>>> Below is a sample of mappings transform for a pair of overwrites.
>>>>> 1) Original mapping ( 3 Mb were written before, compress ratio 2 for
>>>>> each
>>>>> block)
>>>>> Block Map
>>>>> {
>>>>>     0 -> zlib, 512Kb
>>>>>     1Mb -> zlib, 512Kb
>>>>>     2Mb -> zlib, 512Kb
>>>>> }
>>>>> Extent Map
>>>>> {
>>>>>     0 -> 0, 512Kb
>>>>>     1Mb -> 512Kb, 512Kb
>>>>>     2Mb -> 1Mb, 512Kb
>>>>> }
>>>>> 1.5Mb allocated [ 0, 1.5 Mb] range )
>>>>>
>>>>> 1) Result mapping ( after overwriting 1Mb data at 512 Kb offset,
>>>>> compress ratio 1 for both affected blocks) Block Map {
>>>>>     0 -> none, 1Mb
>>>>>     1Mb -> none, 1Mb
>>>>>     2Mb -> zlib, 512Kb
>>>>> }
>>>>> Extent Map
>>>>> {
>>>>>     0 -> 1.5Mb, 1Mb
>>>>>     1Mb -> 2.5Mb, 1Mb
>>>>>     2Mb -> 1Mb, 512Kb
>>>>> }
>>>>> 2.5Mb allocated ( [1Mb, 3.5 Mb] range )
>>>>>
>>>>> 2) Result mapping ( after (over)writing 3Mb data at 1Mb offset,
>>>>> compress ratio 4 for all affected blocks) Block Map {
>>>>>     0 -> none, 1Mb
>>>>>     1Mb -> zlib, 256Kb
>>>>>     2Mb -> zlib, 256Kb
>>>>>     3Mb -> zlib, 256Kb
>>>>> }
>>>>> Extent Map
>>>>> {
>>>>>     0 -> 1.5Mb, 1Mb
>>>>>     1Mb -> 0Mb, 256Kb
>>>>>     2Mb -> 0.25Mb, 256Kb
>>>>>     3Mb -> 0.5Mb, 256Kb
>>>>> }
>>>>> 1.75Mb allocated (  [0Mb-0.75Mb] [1.5 Mb, 2.5 Mb )
>>>>>
>>>> Thanks for Igore!
>>>>
>>>> Maybe I'm missing something, is it compressed inline not offline?
>>> That's about inline compression.
>>>> If so, I guess we need to provide with more flexible controls to
>>>> upper, like explicate compression flag or compression unit.
>>> Yes I agree. We need a sort of control for compression - on per object or per pool basis...
>>> But at the overview above I was more concerned about algorithmic aspect i.e. how to implement random read/write handling for compressed objects.
>>> Compression management from the user side can be considered a bit later.
>>>
>>>>> Any comments/suggestions are highly appreciated.
>>>>>
>>>>> Kind regards,
>>>>> Igor.
>>>>>
>>>>>
>>>>>
>>>>>
>>>>>
>>>>> --
>>>>> To unsubscribe from this list: send the line "unsubscribe ceph-devel"
>>>>> in the body of a message to majordomo@vger.kernel.org More majordomo
>>>>> info at  http://vger.kernel.org/majordomo-info.html
>>> Thanks,
>>> Igor
>>> --
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  reply	other threads:[~2016-02-26 17:41 UTC|newest]

Thread overview: 55+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2016-02-15 16:29 Adding compression support for bluestore Igor Fedotov
2016-02-16  2:06 ` Haomai Wang
2016-02-17  0:11   ` Igor Fedotov
2016-02-19 23:13     ` Allen Samuels
2016-02-22 12:25       ` Sage Weil
2016-02-24 18:18         ` Igor Fedotov
2016-02-24 18:43           ` Allen Samuels
2016-02-26 17:41             ` Igor Fedotov [this message]
2016-03-15 17:12               ` Sage Weil
2016-03-16  1:06                 ` Allen Samuels
2016-03-16 18:34                 ` Igor Fedotov
2016-03-16 19:02                   ` Allen Samuels
2016-03-16 19:15                     ` Sage Weil
2016-03-16 19:20                       ` Allen Samuels
2016-03-16 19:29                         ` Sage Weil
2016-03-16 19:36                           ` Allen Samuels
2016-03-17 14:55                     ` Igor Fedotov
2016-03-17 15:28                       ` Allen Samuels
2016-03-18 13:00                         ` Igor Fedotov
2016-03-16 19:27                   ` Sage Weil
2016-03-16 19:41                     ` Allen Samuels
     [not found]                       ` <CA+z5DsxA9_LLozFrDOtnVRc7FcvN7S8OF12zswQZ4q4ysK_0BA@mail.gmail.com>
2016-03-16 22:56                         ` Blair Bethwaite
2016-03-17  3:21                           ` Allen Samuels
2016-03-17 10:01                             ` Willem Jan Withagen
2016-03-17 17:29                               ` Howard Chu
2016-03-17 15:21                             ` Igor Fedotov
2016-03-17 15:18                     ` Igor Fedotov
2016-03-17 15:33                       ` Sage Weil
2016-03-17 18:53                         ` Allen Samuels
2016-03-18 14:58                           ` Igor Fedotov
2016-03-18 15:53                         ` Igor Fedotov
2016-03-18 17:17                           ` Vikas Sinha-SSI
2016-03-19  3:14                             ` Allen Samuels
2016-03-21 14:19                             ` Igor Fedotov
2016-03-19  3:14                           ` Allen Samuels
2016-03-21 14:07                             ` Igor Fedotov
2016-03-21 15:14                               ` Allen Samuels
2016-03-21 16:35                                 ` Igor Fedotov
2016-03-21 17:14                                   ` Allen Samuels
2016-03-21 18:31                                     ` Igor Fedotov
2016-03-21 21:14                                       ` Allen Samuels
2016-03-21 15:32                             ` Igor Fedotov
2016-03-21 15:50                               ` Sage Weil
2016-03-21 18:01                                 ` Igor Fedotov
2016-03-24 12:45                                 ` Igor Fedotov
2016-03-24 22:29                                   ` Allen Samuels
2016-03-29 20:19                                   ` Sage Weil
2016-03-29 20:45                                     ` Allen Samuels
2016-03-30 12:32                                       ` Igor Fedotov
2016-03-30 12:28                                     ` Igor Fedotov
2016-03-30 12:47                                       ` Sage Weil
2016-03-31 21:56                                   ` Sage Weil
2016-04-01 18:54                                     ` Allen Samuels
2016-04-04 12:31                                     ` Igor Fedotov
2016-04-04 12:38                                     ` Igor Fedotov

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