RFR[S] 8210289 ArchivedKlassSubGraphInfoRecord is incomplete

Jiangli Zhou jiangli.zhou at oracle.com
Sat Sep 8 21:37:17 UTC 2018


Hi Ioi,

The updated webrev looks great. Here are some additional comments.

- Thanks for answering my question about the two loops. If we want to 
solve the klass list issue as a general problem, we also need to allow 
the cases where the entry fields from the same class are not specified 
consecutively. The 'break' in the inner loop should be a 'continue'. 
Currently, all the entry fields from a single class are specified 
together as we are doing it manually. When we enhance the mechanism by 
adding the other half API that enables registering the entry fields from 
java code automatically, we might see fields from different classes are 
in mixed orders.

  657     while (j < num_archivable_static_fields) {
  658       ArchivableStaticFieldInfo* f = &archivable_static_fields[j];
  659       if (f->klass_name == klass_name) {
  660 archive_reachable_objects_from_static_field(f->klass, f->klass_name,
  661 f->offset, f->field_name, CHECK);
  662         j++;
  663       } else {
  664         break; <<<<<<<
  665       }
  666     }

- In order to make sure subgraphs are archived correctly, we need to do 
proper state propagation and checks/asserts, including the 
record_klasses_only state. When we see record_klasses_only becomes true, 
we need to verify all reachable object from the current one must have 
existing archived copies already. That helps to confirm that an earlier 
archived subgraph is complete, especially if the current walk enters an 
sub-subgraph from a different node. For your current scope of changes, 
resetting the record_klasses_only state based on if there is an existing 
archived copy is ok. We can enhance it separately.

Please also test all tier1-tier6 for your changes with the default CDS 
archive patch.

Thanks,
Jiangli

On 9/7/18 5:58 PM, Ioi Lam wrote:
>
> Hi Jiangli,
>
> Thanks for the review!
>
> http://cr.openjdk.java.net/~iklam/jdk12/8210289-subgraph-record-incomplete.v04/
> http://cr.openjdk.java.net/~iklam/jdk12/8210289-subgraph-record-incomplete.v04-delta/
>
>
> On 9/6/2018 4:28 PM, Jiangli Zhou wrote:
>> Hi Ioi,
>>
>> Sorry for the delay. It took me a while to get back to this. Thanks 
>> for folding the closures together. It cuts the cost by almost half. 
>> Here are my detailed comments.
>>
>> - _subgraph_object_klasses renaming
>>
>> The reason that I choose _subgraph_object_klasses was to disambiguate 
>> between the klass containing a subgraph and the klass of an object 
>> included in a subgraph. Is there a specific reason to rename the term 
>> to _subgraph_klasses?
>>
>
> I just wanted to shorten the names to be the same as 
> ArchivedKlassSubGraphInfoRecord::subgraph_klasses,  but I agree with 
> you for the naming.
>
> So instead, I've renamed 
> ArchivedKlassSubGraphInfoRecord::subgraph_klasses -> 
> subgraph_object_klasses to make the code consistent. What do you think?
>
>> - Could you please align the lines at 358 - 360.
>>
>>  355   WalkOopAndArchiveClosure(int level, bool record_klasses_only,
>>  356                            KlassSubGraphInfo* subgraph_info,
>>  357                            oop orig, oop archived, TRAPS) :
>>  358     _level(level), _record_klasses_only(record_klasses_only),
>>  359     _subgraph_info(subgraph_info),
>>  360     _orig_referencing_obj(orig), 
>> _archived_referencing_obj(archived),
>>  361     _thread(THREAD) {}
>>
>
> The 2 space indent is for the C++ field initializer list. HotSpot 
> style guide doesn't mention this 
> (https://wiki.openjdk.java.net/display/HotSpot/StyleGuide) so I just 
> used emacs's default indentation.
>
>> - (2) should be only applied to object that's not seen within the 
>> current subgraph. Please clarify it in the comment.
>>
>>  401 // (2) If orig_obj has not been seen yet, trace all
>>  402 //     objects that are reachable from it, and make sure these 
>> objects are archived.
>>
>
> I changed it to
>
> // (2) If orig_obj has not been seen yet (since 
> start_recording_subgraph() was called),
> //     trace all  objects that are reachable from it, and make sure 
> these objects are archived.
>
>
>> - Some Strings (such as "") are not archived in the closed archive 
>> heap region. In that case, the String object is automatically 
>> archived in the open archive heap region. The following comment 
>> should be clarified and fixed.
>>
>>  417     // Strings are already archived in closed archive. No need 
>> to walk it
>>
>
> I changed to
>
>   if (java_lang_String::is_instance(orig_obj) && archived_obj != NULL) {
>     // To save time, don't walk strings that are already archived. 
> They just contain
>     // pointers to a type array, whose klass doesn't need to be recorded.
>     return archived_obj;
>   }
>
>
>> - Could you please explain the reason for using two loops here? 
>> Shouldn't one loop be sufficient?
>>
>>  646   for (int i = 0; i < num_archivable_static_fields; ) {
>>
>>  650
>>  651     int j = i;
>>  652     while (j < num_archivable_static_fields) {
>>  653       ArchivableStaticFieldInfo* f = &archivable_static_fields[j];
>>  654       if (f->klass_name == klass_name) {
>>  655 archive_reachable_objects_from_static_field(f->klass, 
>> f->klass_name,
>>  656 f->offset, f->field_name, CHECK);
>>  657         j++;
>>  658       } else {
>>  659         break;
>>  660       }
>>  661     }
>> ..
>>  663     i = j;
>>  664   }
>>  665
>
> That's because you can archive multiple fields in the same klass:
>
> // If you add new entries to this table, you should know what you're 
> doing!
> static ArchivableStaticFieldInfo archivable_static_fields[] = {
>   {"jdk/internal/module/ArchivedModuleGraph", "archivedSystemModules"},
>   {"jdk/internal/module/ArchivedModuleGraph", "archivedModuleFinder"},
>   {"jdk/internal/module/ArchivedModuleGraph", "archivedMainModule"},
>   {"jdk/internal/module/ArchivedModuleGraph", "archivedConfiguration"},
>   {"java/util/ImmutableCollections$ListN",     "EMPTY_LIST"},
>
> Note that start/done_recording_subgraph are called in the i loop and 
> not the j loop.
>
>> - HeapShared::archive_reachable_objects_from() should take a 
>> '_record_klasses_only' argument from caller, which decides if it only 
>> needs to record the klass list.
>>
>> As we walk all reachable objects from an entry point (a static field) 
>> during walk&archive process, at the end of it we obtain a complete 
>> and closed archived subgraph. Every object is also the root of a 
>> sub-subgraph that's reachable from it. In a subsequent subgraph 
>> archiving process from a different entry point, if we encounter an 
>> object that is already archived, then every objects contained within 
>> the sub-subgraph reachable from that root are already archived also. 
>> So, '_record_klasses_only' should be a inherited flag from the root 
>> and passed to all HeapShared::archive_reachable_objects_from() calls 
>> for processing objects within a sub-subgraph.
>>
>> During the walk, '_record_klasses_only' should be false initially. 
>> Once it sees an object that already has an archived copy (but not 
>> seen in the current subgraph), the '_record_klasses_only' needs to 
>> become true and be propagated to all sub-walking processes. 
>> '_record_klasses_only' should never go back to false state.
>>
>> With that, we can guarantee to build a correct archived subgraph 
>> without the risk of infinite cycles. It also reduces overhead for the 
>> walk&archive process.
>
> I actually started to write to code exactly as you suggested, by 
> passing record_klasses_only down, and then I found out that it's 
> unnecessary, and having it will require me to add complicated asserts 
> that was beyond my ability to get right.
>
> As I understand, you worry about about correctness (termination of the 
> algorithm), and performance.
>
> I believe the logic of the current code is correct, and the algorithm 
> will terminate:
>
>       oop archived_obj =
>     MetaspaceShared::find_archived_heap_object(orig_obj);
>       ....
>       if (has_been_seen_during_subgraph_recording(orig_obj)) {
>         // orig_obj has already been archived and traced. Nothing more
>     to do.
>         return archived_obj;
>       }
>       ...
>      WalkOopAndArchiveClosure walker(level, record_klasses_only,
>     subgraph_info, orig_obj, archived_obj, THREAD);
>      orig_obj->oop_iterate(&walker); // recurse
>
> HeapShared::archive_reachable_objects_from will recurse ONLY if you 
> call this function with an object that has not need seen, so 
> eventually the recursion will stop because all objects in the subgraph 
> has been seen.
>
> To make the code easier to understand, I rewrote it like this:
>
>   if (has_been_seen_during_subgraph_recording(orig_obj)) {
>     // orig_obj has already been archived and traced. Nothing more to do.
>     return archived_obj;
>   } else {
>     set_has_been_seen_during_subgraph_recording(orig_obj);
>    }
>
> For performance, the logic for deciding record_klasses_only is this:
>
>   oop archived_obj = MetaspaceShared::find_archived_heap_object(orig_obj);
>    ...
>   bool record_klasses_only = (archived_obj != NULL);
>
> You have to call find_archived_heap_object anyway, so that's 
> unavoidable. The cost of computing record_klasses_only is very simple. 
> For performance, there's no need for the it to be tracked in the 
> recursive calls. That makes the code simpler, and easier to maintain.
>
> Otherwise we may need to think about whether the caller and the callee 
> have different opinion on  record_klasses_only:
>
>   - if this could happen, what would cause this to happen, and how 
> should we handle it?
>   - if this could never happen, how would you write an assertion to 
> validate that?
>
> Writing those asserts turned out to be too complicated.
>
>>
>> - Could add explanation in the comment?
>>
>> 438         // See 
>> runtime/appcds/cacheObject/ArchivedIntegerCacheTest.java
>>
>
> I changed it to
>
>     if (level == 1) {
>         // Don't archive a subgraph root that's too big. For archives 
> static fields, that's OK
>         // as the Java code will take care of initializing this field 
> dynamically.
>         return NULL;
>       }
>
>> - Please add the step 5) comment back to the walk&archive description.
>>
>>  466 // 5) The Klass of the current java object is added to the list 
>> of Klasses
>>  467 // for loading and initialzing before any object in the archived 
>> graph can
>>  468 // be accessed at runtime.
>>  469 //
>>
>
> Done. Sorry I removed it by mistake.
>
>> - The HeapShared::archive_module_graph_objects() can take a more 
>> general name now, if you want to do it as part of your change.
>>
>>
> I renamed it to archive_static_fields(). I also removed/fixed a few 
> comments about "Currently there is only one class mirror 
> (ArchivedModuleGraph) with archived sub-graphs."
>
>> Could you please also send a sample of the changed cds+heap debug log 
>> output?
>>
> See 
> http://cr.openjdk.java.net/~iklam/jdk12/8210289-subgraph-record-incomplete.v04/logs/
>
> Thanks
> - Ioi
>
>> Thanks!
>>
>> Jiangli
>>
>> On 9/5/18 3:56 PM, Ioi Lam wrote:
>>> I updated the patch:
>>>
>>> http://cr.openjdk.java.net/~iklam/jdk12/8210289-subgraph-record-incomplete.v03/ 
>>>
>>>
>>> http://cr.openjdk.java.net/~iklam/jdk12/8210289-subgraph-record-incomplete.v03-delta/ 
>>>
>>>
>>> 1. No need to walk String objects during subgraph recording.
>>>
>>> 2. Print put statistics:
>>>
>>> =========================
>>>
>>> jdk/internal/module/ArchivedModuleGraph: walked 1871 objs, archived 
>>> 1871 new objs, recorded 28 classes
>>> java/util/ImmutableCollections$ListN: walked 2 objs, archived 0 new 
>>> objs, recorded 0 classes
>>> java/util/ImmutableCollections$MapN: walked 2 objs, archived 0 new 
>>> objs, recorded 0 classes
>>> java/util/ImmutableCollections$SetN: walked 2 objs, archived 0 new 
>>> objs, recorded 0 classes
>>> java/lang/Integer$IntegerCache: walked 257 objs, archived 256 new 
>>> objs, recorded 2 classes
>>> java/lang/module/Configuration: walked 7 objs, archived 0 new objs, 
>>> recorded 3 classes
>>>
>>> Performed subgraph records = 6 times
>>> Walked 2141 objects
>>> Archived 2127 objects
>>> Recorded 33 klasses
>>>
>>> ========
>>>
>>> So, at least for now, we don't need to worry about the performance 
>>> of WalkOopAndArchiveClosure.
>>>
>>> Once I get some statistics of Lambda archiving, I'll post them as well.
>>>
>>> So, with the bug fix, the subgraph recording should be both correct 
>>> and faster than before (no more String walking).
>>>
>>> Thanks
>>> - Ioi
>>>
>>>
>>> On 9/3/2018 1:02 AM, Ioi Lam wrote:
>>>> Hi Jiangli,
>>>>
>>>> I think your suggestion of combining of combining 
>>>> RecordKlassesClosure and WalkOopAndArchiveClosure is a good idea. I 
>>>> have updated the webrev:
>>>>
>>>> http://cr.openjdk.java.net/~iklam/jdk12/8210289-subgraph-record-incomplete.v02/ 
>>>>
>>>>
>>>> This also supersedes my other patch for JDK-8210295 Refactor 
>>>> HeapShared::archive_reachable_objects_from_static_field
>>>>
>>>> More comments below on future optimizations.
>>>>
>>>>
>>>> On 9/2/18 6:07 PM, Jiangli Zhou wrote:
>>>>> Hi Ioi,
>>>>>
>>>>> On 9/1/18 8:58 PM, Ioi Lam wrote:
>>>>>> Hi Jiangli,
>>>>>>
>>>>>> Thanks for looking at the optimization of this problem. I think 
>>>>>> your algorithm will run into problems if (a) there is a cycle, 
>>>>>> and (b) two sub-graphs point to different members in the cycle.
>>>>>
>>>>> I think such issue can be solved by tracking the original K (in 
>>>>> the K-list, short for the class-initialization-list) for each 
>>>>> archived object. If an encountered object is already archived 
>>>>> (within the current sub-graph) and is associated with K1 within 
>>>>> the current K-list (must be in this case). We can update the 
>>>>> sub-K-list between K1 and the K associated with the referencing 
>>>>> object of the current object, so their level are the same. We can 
>>>>> also add a flag to the K-list elements to tag each K within the 
>>>>> cycle. It may not be what we need to do currently.
>>>>>
>>>>> Can you please describe the specific class that you ran into with 
>>>>> the bug in your sub-graph?
>>>>
>>>> I found the bug by code examination. It's also during this time 
>>>> that I realized that it's not a simple problem to optimize, because 
>>>> of cycles in the graph. There's been tons of established research 
>>>> in this area (as in "Tarjan's algorithm is one of Donald Knuth's 
>>>> favorite implementations"),  so I don't think we should reinvent 
>>>> the wheel. For future optimization, let's just apply an existing 
>>>> algorithm.
>>>>
>>>>>>
>>>>>> Maybe someone familiar with graph theory can suggest a solution?
>>>>>>
>>>>>> My current thinking is to first find all the cycles in the 
>>>>>> archived heap. The reachability of every member in the cycle is 
>>>>>> the same, so we can collapse each cycle into a single node. After 
>>>>>> that we have a DAG. Then, instead of encoding the class 
>>>>>> initialization order as multiple lists, we can encode it as a DAG 
>>>>>> to save space.
>>>>>>
>>>>>> See 
>>>>>> https://stackoverflow.com/questions/261573/best-algorithm-for-detecting-cycles-in-a-directed-graph
>>>>>>
>>>>>> In any case, I think this is a sufficiently difficult problem, so 
>>>>>> we should separate the dumping of the sub-graphs (the first part 
>>>>>> of HeapShared::archive_module_graph_objects() in my patch) and 
>>>>>> the computation of the initialization order 
>>>>>> (HeapShared::record_subgraph_klasses()).
>>>>> Our current K-lists are quite small. If the number of sub-graphs 
>>>>> grows in the future and there are many duplicates in the K-lists, 
>>>>> we can explore using a single K-list, with each sub-graph-info 
>>>>> recording the [start-index, end-index] pairs of the sub-K-lists.
>>>>>
>>>>> To avoid any confusion to others, I want to point out that the 
>>>>> order of the elements in the K-list is not the initialization 
>>>>> order of the classes that happens at dump time.
>>>>
>>>> Sorry for the confusion. I wanted to avoid using the word "list" -- 
>>>> I think the most space efficient representation will be a DAG 
>>>> instead of a list -- I should have used "set" instead.
>>>>
>>>> Thanks again for spending time on this topic.
>>>>
>>>> - Ioi
>>>>> The order of the K-list elements is determined by how we walk the 
>>>>> graph. It works for our purpose because we are not doing 
>>>>> general-purpose object graph archiving (at least currently), and 
>>>>> all classes in the targeted sub-graph for archiving must not have 
>>>>> any dependencies on runtime context. When we add more sub-graphs 
>>>>> to the archive in the future, we can examine our existing 
>>>>> assumptions and lift limitations case by case with enhancements.
>>>>>>
>>>>>> Also, I think we should defer the optimization of 
>>>>>> record_subgraph_klasses in a future RFE. That way, we can have 
>>>>>> correctness now, and performance later when we actually need it. 
>>>>>> (The current implementation of record_subgraph_klasses() has not 
>>>>>> caused any perceivable delay for the current set of objects that 
>>>>>> we are archiving).
>>>>> We probably don't need to do what I described in the above for 
>>>>> now. I've looked at your changes, I think we can choose a 
>>>>> middle-ground approach that's more efficient than your current 
>>>>> change, but could still be O(N*M) in the worst case (N is the 
>>>>> number of nodes, M is the number of sub-graphs). It also avoid 
>>>>> duplicating the logic between the archiving_walk closure and the 
>>>>> new RecordKlassesClosure.
>>>>>
>>>>> In the middle-ground approach,  WalkOopAndArchiveClosure can take 
>>>>> a new boolean flag, 'record_klass_only'. We can use a separate 
>>>>> table to track the objects we have seen in the current sub-graph 
>>>>> as you are doing in the webrev. If the there is an existing 
>>>>> archived copy of the current object, we check the other table to 
>>>>> determine if it's already in the current sub-graph. If yes, no 
>>>>> additional work is needed. If no, recursively enter the closure 
>>>>> but do 'record_klass_only'.
>>>>>
>>>>>       oop archived = MetaspaceShared::find_archived_heap_object(obj);
>>>>>       if (archived != NULL) {
>>>>>         if (has_seen_in_the_current_graph) {
>>>>>             // no work
>>>>>         } else {
>>>>>             // walk the object but record klass only
>>>>>         }
>>>>>         return;
>>>>>       }
>>>>>
>>>>> With that, we can avoid duplicating the logic in 
>>>>> RecordKlassesClosure and also avoid walking the sub-graph objects 
>>>>> twice in most cases. What do you think?
>>>>>
>>>>> Thanks,
>>>>> Jiangli
>>>>>>
>>>>>> Thanks
>>>>>> - Ioi
>>>>>>
>>>>>> On 9/1/18 7:55 PM, Jiangli Zhou wrote:
>>>>>>>
>>>>>>>> On Sep 1, 2018, at 7:25 PM, Jiangli Zhou 
>>>>>>>> <jiangli.zhou at oracle.com> wrote:
>>>>>>>>
>>>>>>>> Hi Ioi,
>>>>>>>>
>>>>>>>> Thanks for finding the bug. To address the incomplete class 
>>>>>>>> list issue, the original algorithm can be augmented while 
>>>>>>>> remaining as an O(N) solution.
>>>>>>>>
>>>>>>>> As each node (object) in an archived subgraph is a root of a 
>>>>>>>> sub-subgraph, the class-initialization-list associated with a 
>>>>>>>> specific node (within an existing archived sub-graph) is also a 
>>>>>>>> sub-list of the enclosing sub-graph's 
>>>>>>>> class-initialization-list. For example,
>>>>>>>>
>>>>>>>> Sub-graph1:
>>>>>>>>
>>>>>>>>              O1(k1)
>>>>>>>>            /         \
>>>>>>>>      O2(k2)       O5(k5)
>>>>>>>>      /       \
>>>>>>>> O3(k3)   O4(k4)
>>>>>>>>
>>>>>>>>
>>>>>>>> Klass-init-list: K1, K2, K3, K4, K5
>>>>>>>>
>>>>>>>>
>>>>>>>> Sub-graph2:
>>>>>>>>
>>>>>>>>      O2(k2)
>>>>>>>>      /       \
>>>>>>>> O3(k3)   O4(k4)
>>>>>>>>
>>>>>>>> Klass-init-list: K2, K3, K4
>>>>>>>>
>>>>>>>> During the sub-graph walking and archiving process for 
>>>>>>>> sub-graph2, if O2 has been previously archived in another 
>>>>>>>> sub-graph, we can find the other sub-graph's class list and 
>>>>>>>> take the sub-list starting from the klass (k2), without 
>>>>>>>> re-walking each nodes again. To do that, we only need to walk 
>>>>>>>> the existing recorded class-initialization-list. If K2 is found 
>>>>>>>> in any of the existing list, we can take the sub-list starting 
>>>>>>>> from K2 and append the list to the current one.
>>>>>>>>
>>>>>>>> With the approach, K5 would also be included if O5 is walked 
>>>>>>>> after O2 in sub-graph1. However, O5 is not part of O2's 
>>>>>>>> sub-graph. So that would introduce overhead at runtime. To 
>>>>>>>> avoid such problem, we can remember the sub-graph level (which 
>>>>>>>> is already built as part of the existing graph walking 
>>>>>>>> algorithm) for each K in the class-initialization-list. The 
>>>>>>>> ending indication of the sub-list would be the first K with the 
>>>>>>>> same level as the starting K. So we would have:
>>>>>>>>
>>>>>>>>     K1(1), K2(2), K3(3), K4(4), K5(2)
>>>>>>>>
>>>>>>>> The K2 level is 2, the sub-list would end before K2 who's level 
>>>>>>>> is 2.
>>>>>>> Typo. The second K2 above should be k5:
>>>>>>>
>>>>>>> The K2 level is 2, the sub-list would end before K5, who's level 
>>>>>>> is 2.
>>>>>>>
>>>>>>> Thanks,
>>>>>>> Jiangli
>>>>>>>
>>>>>>>
>>>>>>>> This part is not currently implemented yet but is not difficult 
>>>>>>>> to add.
>>>>>>>>
>>>>>>>> Thanks,
>>>>>>>>
>>>>>>>> Jiangli
>>>>>>>>
>>>>>>>>
>>>>>>>>> On 9/1/18 6:08 PM, Ioi Lam wrote:
>>>>>>>>> https://bugs.openjdk.java.net/browse/JDK-8210289
>>>>>>>>> http://cr.openjdk.java.net/~iklam/jdk12/8210289-subgraph-record-incomplete.v01/ 
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Description
>>>>>>>>> ===========
>>>>>>>>>
>>>>>>>>> I found this bug while trying to merge my code for CDS support 
>>>>>>>>> of Lambda
>>>>>>>>> classes (JDK-8198698).
>>>>>>>>>
>>>>>>>>> When heapShared.cpp dumps a sub-graph of heap objects, it 
>>>>>>>>> attempts to
>>>>>>>>> record all the classes of all the objects that are referenced by
>>>>>>>>> this sub-graph. However, if one of these objects have already 
>>>>>>>>> been visited
>>>>>>>>> while a previous sub-graph was dumped, then this object's 
>>>>>>>>> class is not
>>>>>>>>> recorded in the current sub-graph.
>>>>>>>>>
>>>>>>>>> At runtime, if the current sub-graph is restored before any other
>>>>>>>>> sub-graphs, we will end up with a live object in the Java heap 
>>>>>>>>> with
>>>>>>>>> an uninitialized class.
>>>>>>>>>
>>>>>>>>> Fix
>>>>>>>>> ===
>>>>>>>>>
>>>>>>>>> Now I create the sub-graph's klasses list after all sub-graphs 
>>>>>>>>> have dumped.
>>>>>>>>>
>>>>>>>>> For each class that has archived sub-graph(s), I do a heap 
>>>>>>>>> walk to discover
>>>>>>>>> all klasses that are reachable from this archived fields of 
>>>>>>>>> this class.
>>>>>>>>>
>>>>>>>>> This is sub-optimal but suffice for now because we just have a 
>>>>>>>>> very small
>>>>>>>>> number of sub-graphs. The worst case its O(N^2) where N is the 
>>>>>>>>> number of
>>>>>>>>> objects in the archived heap.
>>>>>>>>>
>>>>>>>>> In the future, we might need to implement a more efficient 
>>>>>>>>> algorithm that
>>>>>>>>> walks the heap once and computes all the klasses lists of all the
>>>>>>>>> sub-graphs at the same time.
>>>>>>>>>
>>>>>>>>> Testing
>>>>>>>>> =======
>>>>>>>>>
>>>>>>>>> hs-tier[1,2,3]
>>>>>>>>>
>>>>>>>>> Thanks
>>>>>>>>> - Ioi
>>>>>>>>>
>>>>>>>>>
>>>>>>
>>>>>
>>>>
>>>
>>
>



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