[mcstas-users] Fwd: McStas simulation of nested elliptical optic with many levels crashes

[Richard Wagner]

Dear All,

here is a follow up.

In short crashes still occur.

Of our many tests I will point out two scenarios:

a) double planar optic with corrected OFF File. Now the surfaces don't 
intersect each other anymore they have only common sides. With this 
approach the number of points and faces explodes as one goes to a higher 
number of levels (vertices scale with the square of the levels)

The simulation start to take noticeably longer (several minutes compared 
two ~20 sec). and we get a crash after increasing to 90 levels with the 
message

# McStas 2.7 - Nov. 27, 2020: [pid 4509] Signal 11 detected SIGSEGV (Mem 
Error)

# Simulation: NNb (NNb_90.instr)

# Breakpoint: end_event (Trace) 0.68 % ( 6771.0/ 1000000.0)

# Date: Wed Jul 7 14:03:06 2021

# Started: Wed Jul 7 14:03:00 2021

# Last I/O Error: No such file or directory

b) a Single mono Planar mirror

The simulation crashes with either of the following messages, when the 
amount of nested levels is above 115.

# McStas 2.7 - Nov. 27, 2020: [pid 98724] Signal 11 detected SIGSEGV 
(Mem Error)

# Simulation: NNb (NNb_115.instr)

# Breakpoint: nested (Trace) 0.18 % ( 1821.0/ 1000000.0)

# Date: Wed Jul 7 12:57:49 2021

# Started: Wed Jul 7 12:57:49 2021

# Last I/O Error: No such file or directory

# McStas 2.7 - Nov. 27, 2020: [pid 1196] Signal 11 detected SIGSEGV (Mem 
Error) # Simulation: NNb (NNb.instr) # Breakpoint: end_event (Trace) 
2.17 % ( 21733.0/ 1000000.0)

Any ideas, which memory runs out?

We made the observation that when running the same simulation with 
McStasScript we run into the crash earlier (level 75 instead of the 115)

I put the off files of the two cases in the attachment. The instrument 
files is the same during all tests (means only the OFF of the 
Guide_anyshape) is changed

Hope for any ideas, how to proceed further.

Thanks in advance,

Best,

Richard

On 05/07/2021 11:55, Erik B Knudsen wrote:
> Dear Richard,
> Very good to hear. For sure, overlapping polygons is expected to 
> create problems and undefined behaviour. The underlying routine that 
> checks polygon intersections does not check for consistency, and 
> instead only checks which polygon it hits first, which could be the 
> wrong one.
> That the problem only arises at a certain level of complexity is 
> perhaps connected to the sheer number of overlaps becoming large - but 
> that is merely guesswork on my part.
>
> Looking forward to hearing the further output of your efforts.
>
> cheers
> Erik
>
> On 02/07/2021 13:30, Richard Wagner wrote:
>> Dear all,
>>
>> we had in the meantime a detailed look in the matter from our side 
>> and suspect know a problem with the OFF-file
>>
>> If we use a mono planar version of the optic (see example in the 
>> attachment) we can increase the nested levels ad lib.
>> We are only limited by the fact that the spacing between the levels 
>> is becoming so small, that it makes no sense to continue.
>>
>> A major difference between the single and double planar optic is that 
>> the double planar OFF-File has surfaces that intersect each other.
>>
>> I don't know if this is "allowed" or if it can cause McStas to have 
>> problems during the simulation.
>> Until a certain level of complexity it worked fine.
>>
>> What we are currently doing is to change the function (written in 
>> python), that generates the double planar OFF-file to generate 
>> additional vertexes and faces at the intersection of the surfaces. So 
>> we end up having a cleanly defined optic with no 'undefined 
>> intersections'.
>>
>> I will report the outcome of this changes.
>>
>> Best,
>>
>> Richard
>>
>>
>>
>>
>> On 02/07/2021 09:35, Erik B Knudsen wrote:
>>> Dear Richard,
>>> Thank you for the thorough and detailed report. We will take a look 
>>> at your problem asap and report back.
>>> cheers
>>> Erik
>>>
>>> On 29/06/2021 18:31, Richard Wagner wrote:
>>>> Dear McStas experts,
>>>>
>>>> We are currently doing simulations with nested elliptical optics 
>>>> and so far things ran quiet smoothly.
>>>>
>>>> We generate the OFF file for the optic ourselves and use the 
>>>> Guide_anyshape component.
>>>>
>>>> We start with an outer layer and continue to add inner layers one 
>>>> at a time.
>>>> If we then get to optical components that have a high number of 
>>>> levels we run into the problem, that McStas crashes resp. aborts 
>>>> the simulation.
>>>>
>>>> Output in that case reads:
>>>>
>>>> # McStas 2.7 - Nov. 27, 2020: [pid 64818] Signal 11 detected 
>>>> SIGSEGV (Mem Error)
>>>> # Simulation: NNb (NNb.instr)
>>>> # Breakpoint: psd_monitor (Trace) 2.46 % (   24574.0/ 1000000.0)
>>>> # Date:      Tue Jun 29 17:44:13 2021
>>>> # Started:   Tue Jun 29 17:44:13 2021
>>>> # Last I/O Error: No such file or directory
>>>> # McStas 2.7 - Nov. 27, 2020: Simulation stop (abort).
>>>>
>>>> Or
>>>>
>>>> # McStas 2.7 - Nov. 27, 2020: [pid 66573] Signal 10 detected [proc 
>>>> 0] SIGBUS (Bus error)
>>>> # Simulation: NNb (NNb.instr)
>>>> # Breakpoint: nested (Trace) 85.56 % (  855555.0/ 1000000.0)
>>>> # Date:      Tue Jun 29 18:00:32 2021
>>>> # Started:   Tue Jun 29 18:00:28 2021
>>>> # Last I/O Error: No such file or directory
>>>>
>>>> There are many messages such as the following in the Mcstas Window, 
>>>> too:
>>>>
>>>> Guide_anyshape: nested: Warning: Reflectivity R=7.02318 > 1 lowered 
>>>> to R=1.
>>>> Guide_anyshape: nested: Warning: Reflectivity R=7.02365 > 1 lowered 
>>>> to R=1.
>>>> Guide_anyshape: nested: Warning: Reflectivity R=7.02412 > 1 lowered 
>>>> to R=1.
>>>> Guide_anyshape: nested: Warning: Reflectivity R=7.0246 > 1 lowered 
>>>> to R=1.
>>>>
>>>> I put an example of an instrument file (+OFF , +Source Component) 
>>>> of a failed run for a 1m optic in the attachment.
>>>>
>>>> The trace run for instrument visualization works.
>>>> We only run into the problem for short optics <=2 m, were a high 
>>>> number of nested levels is needed to completely cover the cross 
>>>> section.
>>>>
>>>> We run into the problem on Ubuntu 18.04 and MacOs Big Sur machines.
>>>>
>>>> Any ideas what's the problem? Are the spacing of the elliptical 
>>>> getting to narrow, perhaps?
>>>>
>>>> Thanks in advance,
>>>>
>>>> Richard
>>>>
>>>>
>>>> -- 
>>>> *Richard Wagner*
>>>> Research Engineer
>>>> Nuclear and Particle Physics Group
>>>> Institut Laue-Langevin - ILL
>>>> 71, avenue des Martyrs
>>>> CS 20156
>>>> 38042 Grenoble Cedex 9
>>>> France
>>>>
>>>> www.ill.eu <www.ill.eu>
>>>>
>>>>
>>>>
>>>> _______________________________________________
>>>> mcstas-users mailing list
>>>> mcstas-users at mcstas.org
>>>> https://mailman2.mcstas.org/mailman/listinfo/mcstas-users
>>>>
>>>
>> -- 
>> *Richard Wagner*
>> Research Engineer
>> Nuclear and Particle Physics Group
>> Institut Laue-Langevin - ILL
>> 71, avenue des Martyrs
>> CS 20156
>> 38042 Grenoble Cedex 9
>> France
>>
>> www.ill.eu <www.ill.eu>
>>
>>
>>
>> _______________________________________________
>> mcstas-users mailing list
>> mcstas-users at mcstas.org
>> https://mailman2.mcstas.org/mailman/listinfo/mcstas-users
>>
>
-- 
*Richard Wagner*
Research Engineer
Nuclear and Particle Physics Group
Institut Laue-Langevin - ILL
71, avenue des Martyrs
CS 20156
38042 Grenoble Cedex 9
France

www.ill.eu <www.ill.eu>

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4 96879 96880 96883 96882
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4 2008 2009 2012 2011
4 2011 2012 2015 2014
4 2014 2015 2018 2017
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4 2680 2681 2684 2683
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4 2686 2687 2690 2689
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4 2692 2693 2696 2695
4 2695 2696 2699 2698
4 2701 2702 2705 2704
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4 96403 96404 96407 96406
4 96406 96407 96410 96409
4 96409 96410 96413 96412
4 96412 96413 96416 96415
4 96415 96416 96419 96418
4 96418 96419 96422 96421
4 96421 96422 96425 96424
4 96424 96425 96428 96427
4 96427 96428 96431 96430
4 96430 96431 96434 96433
4 96433 96434 96437 96436
4 96436 96437 96440 96439
4 96439 96440 96443 96442
4 96442 96443 96446 96445
4 96445 96446 96449 96448
4 96448 96449 96452 96451
4 96451 96452 96455 96454
4 96454 96455 96458 96457
4 96457 96458 96461 96460
4 96460 96461 96464 96463
4 96463 96464 96467 96466
4 96466 96467 96470 96469
4 96469 96470 96473 96472
4 96472 96473 96476 96475
4 96475 96476 96479 96478
4 96478 96479 96482 96481
4 96481 96482 96485 96484
4 96484 96485 96488 96487
4 96487 96488 96491 96490
4 96490 96491 96494 96493
4 96493 96494 96497 96496
4 96496 96497 96500 96499
4 96499 96500 96503 96502
4 96502 96503 96506 96505
4 96505 96506 96509 96508
4 96508 96509 96512 96511
4 96511 96512 96515 96514
4 96514 96515 96518 96517
4 96517 96518 96521 96520
4 96520 96521 96524 96523
4 96523 96524 96527 96526
4 96526 96527 96530 96529
4 96529 96530 96533 96532
4 96532 96533 96536 96535
4 96535 96536 96539 96538
4 96538 96539 96542 96541
4 96541 96542 96545 96544
4 96544 96545 96548 96547
4 96547 96548 96551 96550
4 96550 96551 96554 96553
4 96553 96554 96557 96556
4 96556 96557 96560 96559
4 96559 96560 96563 96562
4 96562 96563 96566 96565
4 96565 96566 96569 96568
4 96568 96569 96572 96571
4 96571 96572 96575 96574
4 96574 96575 96578 96577
4 96577 96578 96581 96580
4 96580 96581 96584 96583
4 96583 96584 96587 96586
4 96586 96587 96590 96589
4 96589 96590 96593 96592
4 96592 96593 96596 96595
4 96595 96596 96599 96598
4 96598 96599 96602 96601
4 96601 96602 96605 96604
4 96604 96605 96608 96607
4 96607 96608 96611 96610
4 96610 96611 96614 96613
4 96613 96614 96617 96616
4 96616 96617 96620 96619
4 96619 96620 96623 96622
4 96622 96623 96626 96625
4 96625 96626 96629 96628
4 96628 96629 96632 96631
4 96631 96632 96635 96634
4 96634 96635 96638 96637
4 96637 96638 96641 96640
4 96640 96641 96644 96643
4 96643 96644 96647 96646
4 96646 96647 96650 96649
4 96649 96650 96653 96652
4 96652 96653 96656 96655
4 96655 96656 96659 96658
4 96661 96662 96665 96664
4 96664 96665 96668 96667
4 96667 96668 96671 96670
4 96670 96671 96674 96673
4 96673 96674 96677 96676
4 96676 96677 96680 96679
4 96679 96680 96683 96682
4 96682 96683 96686 96685
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4 96688 96689 96692 96691
4 96691 96692 96695 96694
4 96694 96695 96698 96697
4 96697 96698 96701 96700
4 96700 96701 96704 96703
4 96703 96704 96707 96706
4 96706 96707 96710 96709
4 96709 96710 96713 96712
4 96712 96713 96716 96715
4 96715 96716 96719 96718
4 96718 96719 96722 96721
4 96721 96722 96725 96724
4 96724 96725 96728 96727
4 96727 96728 96731 96730
4 96730 96731 96734 96733
4 96733 96734 96737 96736
4 96736 96737 96740 96739
4 96739 96740 96743 96742
4 96742 96743 96746 96745
4 96745 96746 96749 96748
4 96748 96749 96752 96751
4 96751 96752 96755 96754
4 96754 96755 96758 96757
4 96757 96758 96761 96760
4 96760 96761 96764 96763
4 96763 96764 96767 96766
4 96766 96767 96770 96769
4 96769 96770 96773 96772
4 96772 96773 96776 96775
4 96775 96776 96779 96778
4 96778 96779 96782 96781
4 96781 96782 96785 96784
4 96784 96785 96788 96787
4 96787 96788 96791 96790
4 96790 96791 96794 96793
4 96793 96794 96797 96796
4 96796 96797 96800 96799
4 96799 96800 96803 96802
4 96802 96803 96806 96805
4 96805 96806 96809 96808
4 96808 96809 96812 96811
4 96811 96812 96815 96814
4 96814 96815 96818 96817
4 96817 96818 96821 96820
4 96820 96821 96824 96823
4 96823 96824 96827 96826
4 96826 96827 96830 96829
4 96829 96830 96833 96832
4 96832 96833 96836 96835
4 96835 96836 96839 96838
4 96838 96839 96842 96841
4 96841 96842 96845 96844
4 96844 96845 96848 96847
4 96847 96848 96851 96850
4 96850 96851 96854 96853
4 96853 96854 96857 96856
4 96856 96857 96860 96859
4 96859 96860 96863 96862
4 96862 96863 96866 96865
4 96865 96866 96869 96868
4 96868 96869 96872 96871
4 96871 96872 96875 96874
4 96874 96875 96878 96877
4 96877 96878 96881 96880
4 96880 96881 96884 96883
4 96883 96884 96887 96886
4 96886 96887 96890 96889
4 96889 96890 96893 96892
4 96892 96893 96896 96895
4 96895 96896 96899 96898
4 96898 96899 96902 96901
4 96901 96902 96905 96904
4 96904 96905 96908 96907
4 96907 96908 96911 96910
4 96910 96911 96914 96913
4 96913 96914 96917 96916
4 96916 96917 96920 96919
4 96919 96920 96923 96922
4 96922 96923 96926 96925
4 96925 96926 96929 96928
4 96928 96929 96932 96931
4 96931 96932 96935 96934
4 96934 96935 96938 96937
4 96937 96938 96941 96940
4 96940 96941 96944 96943
4 96943 96944 96947 96946
4 96946 96947 96950 96949
4 96949 96950 96953 96952
4 96952 96953 96956 96955
4 96955 96956 96959 96958
4 96958 96959 96962 96961
4 96961 96962 96965 96964
4 96964 96965 96968 96967
4 96967 96968 96971 96970
4 96970 96971 96974 96973
4 96973 96974 96977 96976
4 96976 96977 96980 96979
4 96979 96980 96983 96982
4 96982 96983 96986 96985
4 96985 96986 96989 96988
4 96988 96989 96992 96991
4 96991 96992 96995 96994
4 96994 96995 96998 96997
4 96997 96998 97001 97000
4 97000 97001 97004 97003
4 97003 97004 97007 97006
4 97006 97007 97010 97009
4 97009 97010 97013 97012
4 97012 97013 97016 97015
4 97015 97016 97019 97018
4 97018 97019 97022 97021
4 97021 97022 97025 97024
4 97024 97025 97028 97027
4 97027 97028 97031 97030
4 97030 97031 97034 97033
4 97033 97034 97037 97036
4 97036 97037 97040 97039
4 97039 97040 97043 97042
4 97042 97043 97046 97045
4 97045 97046 97049 97048
4 97048 97049 97052 97051
4 97051 97052 97055 97054
4 97054 97055 97058 97057
4 97057 97058 97061 97060
4 97060 97061 97064 97063
4 97063 97064 97067 97066
4 97066 97067 97070 97069
4 97069 97070 97073 97072
4 97072 97073 97076 97075
4 97075 97076 97079 97078
4 97078 97079 97082 97081
4 97081 97082 97085 97084
4 97084 97085 97088 97087
4 97087 97088 97091 97090
4 97090 97091 97094 97093
4 97093 97094 97097 97096
4 97096 97097 97100 97099
4 97099 97100 97103 97102
4 97102 97103 97106 97105
4 97105 97106 97109 97108
4 97108 97109 97112 97111
4 97111 97112 97115 97114
4 97114 97115 97118 97117
4 97117 97118 97121 97120
4 97120 97121 97124 97123
4 97123 97124 97127 97126
4 97126 97127 97130 97129
4 97129 97130 97133 97132
4 97132 97133 97136 97135
4 97135 97136 97139 97138
4 97138 97139 97142 97141
4 97141 97142 97145 97144
4 97144 97145 97148 97147
4 97147 97148 97151 97150
4 97150 97151 97154 97153
4 97153 97154 97157 97156
4 97156 97157 97160 97159
4 97159 97160 97163 97162
4 97162 97163 97166 97165
4 97165 97166 97169 97168
4 97168 97169 97172 97171
4 97171 97172 97175 97174
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4 97177 97178 97181 97180
4 97180 97181 97184 97183
4 97183 97184 97187 97186
4 97186 97187 97190 97189
4 97189 97190 97193 97192
4 97192 97193 97196 97195
4 97195 97196 97199 97198


4 0 1 541 540
4 540 541 1081 1080
4 1080 1081 1621 1620
4 1620 1621 2161 2160
4 2160 2161 2701 2700
4 2700 2701 3241 3240
4 3240 3241 3781 3780
4 3780 3781 4321 4320
4 4320 4321 4861 4860
4 4860 4861 5401 5400
4 5400 5401 5941 5940
4 5940 5941 6481 6480
4 6480 6481 7021 7020
4 7020 7021 7561 7560
4 7560 7561 8101 8100
4 8100 8101 8641 8640
4 8640 8641 9181 9180
4 9180 9181 9721 9720
4 9720 9721 10261 10260
4 10260 10261 10801 10800
4 10800 10801 11341 11340
4 11340 11341 11881 11880
4 11880 11881 12421 12420
4 12420 12421 12961 12960
4 12960 12961 13501 13500
4 13500 13501 14041 14040
4 14040 14041 14581 14580
4 14580 14581 15121 15120
4 15120 15121 15661 15660
4 15660 15661 16201 16200
4 16200 16201 16741 16740
4 16740 16741 17281 17280
4 17280 17281 17821 17820
4 17820 17821 18361 18360
4 18360 18361 18901 18900
4 18900 18901 19441 19440
4 19440 19441 19981 19980
4 19980 19981 20521 20520
4 20520 20521 21061 21060
4 21060 21061 21601 21600
4 21600 21601 22141 22140
4 22140 22141 22681 22680
4 22680 22681 23221 23220
4 23220 23221 23761 23760
4 23760 23761 24301 24300
4 24300 24301 24841 24840
4 24840 24841 25381 25380
4 25380 25381 25921 25920
4 25920 25921 26461 26460
4 26460 26461 27001 27000
4 27000 27001 27541 27540
4 27540 27541 28081 28080
4 28080 28081 28621 28620
4 28620 28621 29161 29160
4 29160 29161 29701 29700
4 29700 29701 30241 30240
4 30240 30241 30781 30780
4 30780 30781 31321 31320
4 31320 31321 31861 31860
4 31860 31861 32401 32400
4 32400 32401 32941 32940
4 32940 32941 33481 33480
4 33480 33481 34021 34020
4 34020 34021 34561 34560
4 34560 34561 35101 35100
4 35100 35101 35641 35640
4 35640 35641 36181 36180
4 36180 36181 36721 36720
4 36720 36721 37261 37260
4 37260 37261 37801 37800
4 37800 37801 38341 38340
4 38340 38341 38881 38880
4 38880 38881 39421 39420
4 39420 39421 39961 39960
4 39960 39961 40501 40500
4 40500 40501 41041 41040
4 41040 41041 41581 41580
4 41580 41581 42121 42120
4 42120 42121 42661 42660
4 42660 42661 43201 43200
4 43200 43201 43741 43740
4 43740 43741 44281 44280
4 44280 44281 44821 44820
4 44820 44821 45361 45360
4 45360 45361 45901 45900
4 45900 45901 46441 46440
4 46440 46441 46981 46980
4 46980 46981 47521 47520
4 47520 47521 48061 48060
4 48060 48061 48601 48600
4 48600 48601 49141 49140
4 49140 49141 49681 49680
4 49680 49681 50221 50220
4 50220 50221 50761 50760
4 50760 50761 51301 51300
4 51300 51301 51841 51840
4 51840 51841 52381 52380
4 52380 52381 52921 52920
4 52920 52921 53461 53460
4 53460 53461 54001 54000
4 54000 54001 54541 54540
4 54540 54541 55081 55080
4 55080 55081 55621 55620
4 55620 55621 56161 56160
4 56160 56161 56701 56700
4 56700 56701 57241 57240
4 57240 57241 57781 57780
4 57780 57781 58321 58320
4 58320 58321 58861 58860
4 58860 58861 59401 59400
4 59400 59401 59941 59940
4 59940 59941 60481 60480
4 60480 60481 61021 61020
4 61020 61021 61561 61560
4 61560 61561 62101 62100
4 62100 62101 62641 62640
4 62640 62641 63181 63180
4 63180 63181 63721 63720
4 63720 63721 64261 64260
4 64260 64261 64801 64800
4 64800 64801 65341 65340
4 65340 65341 65881 65880
4 65880 65881 66421 66420
4 66420 66421 66961 66960
4 66960 66961 67501 67500
4 67500 67501 68041 68040
4 68040 68041 68581 68580
4 68580 68581 69121 69120
4 69120 69121 69661 69660
4 69660 69661 70201 70200
4 70200 70201 70741 70740
4 70740 70741 71281 71280
4 71280 71281 71821 71820
4 71820 71821 72361 72360
4 72360 72361 72901 72900
4 72900 72901 73441 73440
4 73440 73441 73981 73980
4 73980 73981 74521 74520
4 74520 74521 75061 75060
4 75060 75061 75601 75600
4 75600 75601 76141 76140
4 76140 76141 76681 76680
4 76680 76681 77221 77220
4 77220 77221 77761 77760
4 77760 77761 78301 78300
4 78300 78301 78841 78840
4 78840 78841 79381 79380
4 79380 79381 79921 79920
4 79920 79921 80461 80460
4 80460 80461 81001 81000
4 81000 81001 81541 81540
4 81540 81541 82081 82080
4 82080 82081 82621 82620
4 82620 82621 83161 83160
4 83160 83161 83701 83700
4 83700 83701 84241 84240
4 84240 84241 84781 84780
4 84780 84781 85321 85320
4 85320 85321 85861 85860
4 85860 85861 86401 86400
4 86400 86401 86941 86940
4 86940 86941 87481 87480
4 87480 87481 88021 88020
4 88020 88021 88561 88560
4 88560 88561 89101 89100
4 89100 89101 89641 89640
4 89640 89641 90181 90180
4 90180 90181 90721 90720
4 90720 90721 91261 91260
4 91260 91261 91801 91800
4 91800 91801 92341 92340
4 92340 92341 92881 92880
4 92880 92881 93421 93420
4 93420 93421 93961 93960
4 93960 93961 94501 94500
4 94500 94501 95041 95040
4 95040 95041 95581 95580
4 95580 95581 96121 96120
4 96120 96121 96661 96660
4 3 4 544 543
4 543 544 1084 1083
4 1083 1084 1624 1623
4 1623 1624 2164 2163
4 2163 2164 2704 2703
4 2703 2704 3244 3243
4 3243 3244 3784 3783
4 3783 3784 4324 4323
4 4323 4324 4864 4863
4 4863 4864 5404 5403
4 5403 5404 5944 5943
4 5943 5944 6484 6483
4 6483 6484 7024 7023
4 7023 7024 7564 7563
4 7563 7564 8104 8103
4 8103 8104 8644 8643
4 8643 8644 9184 9183
4 9183 9184 9724 9723
4 9723 9724 10264 10263
4 10263 10264 10804 10803
4 10803 10804 11344 11343
4 11343 11344 11884 11883
4 11883 11884 12424 12423
4 12423 12424 12964 12963
4 12963 12964 13504 13503
4 13503 13504 14044 14043
4 14043 14044 14584 14583
4 14583 14584 15124 15123
4 15123 15124 15664 15663
4 15663 15664 16204 16203
4 16203 16204 16744 16743
4 16743 16744 17284 17283
4 17283 17284 17824 17823
4 17823 17824 18364 18363
4 18363 18364 18904 18903
4 18903 18904 19444 19443
4 19443 19444 19984 19983
4 19983 19984 20524 20523
4 20523 20524 21064 21063
4 21063 21064 21604 21603
4 21603 21604 22144 22143
4 22143 22144 22684 22683
4 22683 22684 23224 23223
4 23223 23224 23764 23763
4 23763 23764 24304 24303
4 24303 24304 24844 24843
4 24843 24844 25384 25383
4 25383 25384 25924 25923
4 25923 25924 26464 26463
4 26463 26464 27004 27003
4 27003 27004 27544 27543
4 27543 27544 28084 28083
4 28083 28084 28624 28623
4 28623 28624 29164 29163
4 29163 29164 29704 29703
4 29703 29704 30244 30243
4 30243 30244 30784 30783
4 30783 30784 31324 31323
4 31323 31324 31864 31863
4 31863 31864 32404 32403
4 32403 32404 32944 32943
4 32943 32944 33484 33483
4 33483 33484 34024 34023
4 34023 34024 34564 34563
4 34563 34564 35104 35103
4 35103 35104 35644 35643
4 35643 35644 36184 36183
4 36183 36184 36724 36723
4 36723 36724 37264 37263
4 37263 37264 37804 37803
4 37803 37804 38344 38343
4 38343 38344 38884 38883
4 38883 38884 39424 39423
4 39423 39424 39964 39963
4 39963 39964 40504 40503
4 40503 40504 41044 41043
4 41043 41044 41584 41583
4 41583 41584 42124 42123
4 42123 42124 42664 42663
4 42663 42664 43204 43203
4 43203 43204 43744 43743
4 43743 43744 44284 44283
4 44283 44284 44824 44823
4 44823 44824 45364 45363
4 45363 45364 45904 45903
4 45903 45904 46444 46443
4 46443 46444 46984 46983
4 46983 46984 47524 47523
4 47523 47524 48064 48063
4 48063 48064 48604 48603
4 48603 48604 49144 49143
4 49143 49144 49684 49683
4 49683 49684 50224 50223
4 50223 50224 50764 50763
4 50763 50764 51304 51303
4 51303 51304 51844 51843
4 51843 51844 52384 52383
4 52383 52384 52924 52923
4 52923 52924 53464 53463
4 53463 53464 54004 54003
4 54003 54004 54544 54543
4 54543 54544 55084 55083
4 55083 55084 55624 55623
4 55623 55624 56164 56163
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4 57243 57244 57784 57783
4 57783 57784 58324 58323
4 58323 58324 58864 58863
4 58863 58864 59404 59403
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4 59943 59944 60484 60483
4 60483 60484 61024 61023
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4 62643 62644 63184 63183
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4 63723 63724 64264 64263
4 64263 64264 64804 64803
4 64803 64804 65344 65343
4 65343 65344 65884 65883
4 65883 65884 66424 66423
4 66423 66424 66964 66963
4 66963 66964 67504 67503
4 67503 67504 68044 68043
4 68043 68044 68584 68583
4 68583 68584 69124 69123
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4 69663 69664 70204 70203
4 70203 70204 70744 70743
4 70743 70744 71284 71283
4 71283 71284 71824 71823
4 71823 71824 72364 72363
4 72363 72364 72904 72903
4 72903 72904 73444 73443
4 73443 73444 73984 73983
4 73983 73984 74524 74523
4 74523 74524 75064 75063
4 75063 75064 75604 75603
4 75603 75604 76144 76143
4 76143 76144 76684 76683
4 76683 76684 77224 77223
4 77223 77224 77764 77763
4 77763 77764 78304 78303
4 78303 78304 78844 78843
4 78843 78844 79384 79383
4 79383 79384 79924 79923
4 79923 79924 80464 80463
4 80463 80464 81004 81003
4 81003 81004 81544 81543
4 81543 81544 82084 82083
4 82083 82084 82624 82623
4 82623 82624 83164 83163
4 83163 83164 83704 83703
4 83703 83704 84244 84243
4 84243 84244 84784 84783
4 84783 84784 85324 85323
4 85323 85324 85864 85863
4 85863 85864 86404 86403
4 86403 86404 86944 86943
4 86943 86944 87484 87483
4 87483 87484 88024 88023
4 88023 88024 88564 88563
4 88563 88564 89104 89103
4 89103 89104 89644 89643
4 89643 89644 90184 90183
4 90183 90184 90724 90723
4 90723 90724 91264 91263
4 91263 91264 91804 91803
4 91803 91804 92344 92343
4 92343 92344 92884 92883
4 92883 92884 93424 93423
4 93423 93424 93964 93963
4 93963 93964 94504 94503
4 94503 94504 95044 95043
4 95043 95044 95584 95583
4 95583 95584 96124 96123
4 96123 96124 96664 96663
4 6 7 547 546
4 546 547 1087 1086
4 1086 1087 1627 1626
4 1626 1627 2167 2166
4 2166 2167 2707 2706
4 2706 2707 3247 3246
4 3246 3247 3787 3786
4 3786 3787 4327 4326
4 4326 4327 4867 4866
4 4866 4867 5407 5406
4 5406 5407 5947 5946
4 5946 5947 6487 6486
4 6486 6487 7027 7026
4 7026 7027 7567 7566
4 7566 7567 8107 8106
4 8106 8107 8647 8646
4 8646 8647 9187 9186
4 9186 9187 9727 9726
4 9726 9727 10267 10266
4 10266 10267 10807 10806
4 10806 10807 11347 11346
4 11346 11347 11887 11886
4 11886 11887 12427 12426
4 12426 12427 12967 12966
4 12966 12967 13507 13506
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4 1374 1375 1915 1914
4 1914 1915 2455 2454
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4 1431 1432 1972 1971
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4 894 895 1435 1434
4 1434 1435 1975 1974
4 1974 1975 2515 2514
4 2514 2515 3055 3054
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4 3594 3595 4135 4134
4 4134 4135 4675 4674
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4 5214 5215 5755 5754
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4 96474 96475 97015 97014
4 357 358 898 897
4 897 898 1438 1437
4 1437 1438 1978 1977
4 1977 1978 2518 2517
4 2517 2518 3058 3057
4 3057 3058 3598 3597
4 3597 3598 4138 4137
4 4137 4138 4678 4677
4 4677 4678 5218 5217
4 5217 5218 5758 5757
4 5757 5758 6298 6297
4 6297 6298 6838 6837
4 6837 6838 7378 7377
4 7377 7378 7918 7917
4 7917 7918 8458 8457
4 8457 8458 8998 8997
4 8997 8998 9538 9537
4 9537 9538 10078 10077
4 10077 10078 10618 10617
4 10617 10618 11158 11157
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4 95937 95938 96478 96477
4 96477 96478 97018 97017
4 360 361 901 900
4 900 901 1441 1440
4 1440 1441 1981 1980
4 1980 1981 2521 2520
4 2520 2521 3061 3060
4 3060 3061 3601 3600
4 3600 3601 4141 4140
4 4140 4141 4681 4680
4 4680 4681 5221 5220
4 5220 5221 5761 5760
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4 6300 6301 6841 6840
4 6840 6841 7381 7380
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4 9000 9001 9541 9540
4 9540 9541 10081 10080
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4 36000 36001 36541 36540
4 36540 36541 37081 37080
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4 69480 69481 70021 70020
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4 94860 94861 95401 95400
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4 95940 95941 96481 96480
4 96480 96481 97021 97020
4 363 364 904 903
4 903 904 1444 1443
4 1443 1444 1984 1983
4 1983 1984 2524 2523
4 2523 2524 3064 3063
4 3063 3064 3604 3603
4 3603 3604 4144 4143
4 4143 4144 4684 4683
4 4683 4684 5224 5223
4 5223 5224 5764 5763
4 5763 5764 6304 6303
4 6303 6304 6844 6843
4 6843 6844 7384 7383
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4 16563 16564 17104 17103
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4 18183 18184 18724 18723
4 18723 18724 19264 19263
4 19263 19264 19804 19803
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4 32763 32764 33304 33303
4 33303 33304 33844 33843
4 33843 33844 34384 34383
4 34383 34384 34924 34923
4 34923 34924 35464 35463
4 35463 35464 36004 36003
4 36003 36004 36544 36543
4 36543 36544 37084 37083
4 37083 37084 37624 37623
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4 38163 38164 38704 38703
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4 40323 40324 40864 40863
4 40863 40864 41404 41403
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4 41943 41944 42484 42483
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4 44643 44644 45184 45183
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4 68943 68944 69484 69483
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4 85143 85144 85684 85683
4 85683 85684 86224 86223
4 86223 86224 86764 86763
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4 366 367 907 906
4 906 907 1447 1446
4 1446 1447 1987 1986
4 1986 1987 2527 2526
4 2526 2527 3067 3066
4 3066 3067 3607 3606
4 3606 3607 4147 4146
4 4146 4147 4687 4686
4 4686 4687 5227 5226
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4 8466 8467 9007 9006
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4 96486 96487 97027 97026
4 369 370 910 909
4 909 910 1450 1449
4 1449 1450 1990 1989
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4 2529 2530 3070 3069
4 3069 3070 3610 3609
4 3609 3610 4150 4149
4 4149 4150 4690 4689
4 4689 4690 5230 5229
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4 5769 5770 6310 6309
4 6309 6310 6850 6849
4 6849 6850 7390 7389
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4 7929 7930 8470 8469
4 8469 8470 9010 9009
4 9009 9010 9550 9549
4 9549 9550 10090 10089
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4 96489 96490 97030 97029
4 372 373 913 912
4 912 913 1453 1452
4 1452 1453 1993 1992
4 1992 1993 2533 2532
4 2532 2533 3073 3072
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4 3612 3613 4153 4152
4 4152 4153 4693 4692
4 4692 4693 5233 5232
4 5232 5233 5773 5772
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4 7392 7393 7933 7932
4 7932 7933 8473 8472
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4 96492 96493 97033 97032
4 375 376 916 915
4 915 916 1456 1455
4 1455 1456 1996 1995
4 1995 1996 2536 2535
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4 3615 3616 4156 4155
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4 381 382 922 921
4 921 922 1462 1461
4 1461 1462 2002 2001
4 2001 2002 2542 2541
4 2541 2542 3082 3081
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4 3621 3622 4162 4161
4 4161 4162 4702 4701
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4 5241 5242 5782 5781
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4 384 385 925 924
4 924 925 1465 1464
4 1464 1465 2005 2004
4 2004 2005 2545 2544
4 2544 2545 3085 3084
4 3084 3085 3625 3624
4 3624 3625 4165 4164
4 4164 4165 4705 4704
4 4704 4705 5245 5244
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4 5784 5785 6325 6324
4 6324 6325 6865 6864
4 6864 6865 7405 7404
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4 7944 7945 8485 8484
4 8484 8485 9025 9024
4 9024 9025 9565 9564
4 9564 9565 10105 10104
4 10104 10105 10645 10644
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4 21444 21445 21985 21984
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4 73824 73825 74365 74364
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4 95964 95965 96505 96504
4 96504 96505 97045 97044
4 387 388 928 927
4 927 928 1468 1467
4 1467 1468 2008 2007
4 2007 2008 2548 2547
4 2547 2548 3088 3087
4 3087 3088 3628 3627
4 3627 3628 4168 4167
4 4167 4168 4708 4707
4 4707 4708 5248 5247
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4 6327 6328 6868 6867
4 6867 6868 7408 7407
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4 7947 7948 8488 8487
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4 10107 10108 10648 10647
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4 12267 12268 12808 12807
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4 21447 21448 21988 21987
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4 40887 40888 41428 41427
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4 826 827 1367 1366
4 1366 1367 1907 1906
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4 892 893 1433 1432
4 1432 1433 1973 1972
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4 2512 2513 3053 3052
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4 4132 4133 4673 4672
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4 1435 1436 1976 1975
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4 898 899 1439 1438
4 1438 1439 1979 1978
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4 95950 95951 96491 96490
4 96490 96491 97031 97030
4 373 374 914 913
4 913 914 1454 1453
4 1453 1454 1994 1993
4 1993 1994 2534 2533
4 2533 2534 3074 3073
4 3073 3074 3614 3613
4 3613 3614 4154 4153
4 4153 4154 4694 4693
4 4693 4694 5234 5233
4 5233 5234 5774 5773
4 5773 5774 6314 6313
4 6313 6314 6854 6853
4 6853 6854 7394 7393
4 7393 7394 7934 7933
4 7933 7934 8474 8473
4 8473 8474 9014 9013
4 9013 9014 9554 9553
4 9553 9554 10094 10093
4 10093 10094 10634 10633
4 10633 10634 11174 11173
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4 11713 11714 12254 12253
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4 13333 13334 13874 13873
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4 14413 14414 14954 14953
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4 21433 21434 21974 21973
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4 22513 22514 23054 23053
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4 23593 23594 24134 24133
4 24133 24134 24674 24673
4 24673 24674 25214 25213
4 25213 25214 25754 25753
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4 34933 34934 35474 35473
4 35473 35474 36014 36013
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4 36553 36554 37094 37093
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4 38173 38174 38714 38713
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4 40333 40334 40874 40873
4 40873 40874 41414 41413
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4 95413 95414 95954 95953
4 95953 95954 96494 96493
4 96493 96494 97034 97033
4 376 377 917 916
4 916 917 1457 1456
4 1456 1457 1997 1996
4 1996 1997 2537 2536
4 2536 2537 3077 3076
4 3076 3077 3617 3616
4 3616 3617 4157 4156
4 4156 4157 4697 4696
4 4696 4697 5237 5236
4 5236 5237 5777 5776
4 5776 5777 6317 6316
4 6316 6317 6857 6856
4 6856 6857 7397 7396
4 7396 7397 7937 7936
4 7936 7937 8477 8476
4 8476 8477 9017 9016
4 9016 9017 9557 9556
4 9556 9557 10097 10096
4 10096 10097 10637 10636
4 10636 10637 11177 11176
4 11176 11177 11717 11716
4 11716 11717 12257 12256
4 12256 12257 12797 12796
4 12796 12797 13337 13336
4 13336 13337 13877 13876
4 13876 13877 14417 14416
4 14416 14417 14957 14956
4 14956 14957 15497 15496
4 15496 15497 16037 16036
4 16036 16037 16577 16576
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4 18736 18737 19277 19276
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4 21436 21437 21977 21976
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4 23596 23597 24137 24136
4 24136 24137 24677 24676
4 24676 24677 25217 25216
4 25216 25217 25757 25756
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4 33316 33317 33857 33856
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4 34396 34397 34937 34936
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4 35476 35477 36017 36016
4 36016 36017 36557 36556
4 36556 36557 37097 37096
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4 38176 38177 38717 38716
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4 39256 39257 39797 39796
4 39796 39797 40337 40336
4 40336 40337 40877 40876
4 40876 40877 41417 41416
4 41416 41417 41957 41956
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4 64636 64637 65177 65176
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4 90556 90557 91097 91096
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4 93796 93797 94337 94336
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4 94876 94877 95417 95416
4 95416 95417 95957 95956
4 95956 95957 96497 96496
4 96496 96497 97037 97036
4 379 380 920 919
4 919 920 1460 1459
4 1459 1460 2000 1999
4 1999 2000 2540 2539
4 2539 2540 3080 3079
4 3079 3080 3620 3619
4 3619 3620 4160 4159
4 4159 4160 4700 4699
4 4699 4700 5240 5239
4 5239 5240 5780 5779
4 5779 5780 6320 6319
4 6319 6320 6860 6859
4 6859 6860 7400 7399
4 7399 7400 7940 7939
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4 8479 8480 9020 9019
4 9019 9020 9560 9559
4 9559 9560 10100 10099
4 10099 10100 10640 10639
4 10639 10640 11180 11179
4 11179 11180 11720 11719
4 11719 11720 12260 12259
4 12259 12260 12800 12799
4 12799 12800 13340 13339
4 13339 13340 13880 13879
4 13879 13880 14420 14419
4 14419 14420 14960 14959
4 14959 14960 15500 15499
4 15499 15500 16040 16039
4 16039 16040 16580 16579
4 16579 16580 17120 17119
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4 18739 18740 19280 19279
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4 19819 19820 20360 20359
4 20359 20360 20900 20899
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4 21439 21440 21980 21979
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4 22519 22520 23060 23059
4 23059 23060 23600 23599
4 23599 23600 24140 24139
4 24139 24140 24680 24679
4 24679 24680 25220 25219
4 25219 25220 25760 25759
4 25759 25760 26300 26299
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4 27379 27380 27920 27919
4 27919 27920 28460 28459
4 28459 28460 29000 28999
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4 31159 31160 31700 31699
4 31699 31700 32240 32239
4 32239 32240 32780 32779
4 32779 32780 33320 33319
4 33319 33320 33860 33859
4 33859 33860 34400 34399
4 34399 34400 34940 34939
4 34939 34940 35480 35479
4 35479 35480 36020 36019
4 36019 36020 36560 36559
4 36559 36560 37100 37099
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4 38179 38180 38720 38719
4 38719 38720 39260 39259
4 39259 39260 39800 39799
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4 40339 40340 40880 40879
4 40879 40880 41420 41419
4 41419 41420 41960 41959
4 41959 41960 42500 42499
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4 43579 43580 44120 44119
4 44119 44120 44660 44659
4 44659 44660 45200 45199
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4 47359 47360 47900 47899
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4 60319 60320 60860 60859
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4 61399 61400 61940 61939
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4 63559 63560 64100 64099
4 64099 64100 64640 64639
4 64639 64640 65180 65179
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4 65719 65720 66260 66259
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4 68419 68420 68960 68959
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4 69499 69500 70040 70039
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4 70579 70580 71120 71119
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4 73279 73280 73820 73819
4 73819 73820 74360 74359
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4 75439 75440 75980 75979
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4 76519 76520 77060 77059
4 77059 77060 77600 77599
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4 80839 80840 81380 81379
4 81379 81380 81920 81919
4 81919 81920 82460 82459
4 82459 82460 83000 82999
4 82999 83000 83540 83539
4 83539 83540 84080 84079
4 84079 84080 84620 84619
4 84619 84620 85160 85159
4 85159 85160 85700 85699
4 85699 85700 86240 86239
4 86239 86240 86780 86779
4 86779 86780 87320 87319
4 87319 87320 87860 87859
4 87859 87860 88400 88399
4 88399 88400 88940 88939
4 88939 88940 89480 89479
4 89479 89480 90020 90019
4 90019 90020 90560 90559
4 90559 90560 91100 91099
4 91099 91100 91640 91639
4 91639 91640 92180 92179
4 92179 92180 92720 92719
4 92719 92720 93260 93259
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4 93799 93800 94340 94339
4 94339 94340 94880 94879
4 94879 94880 95420 95419
4 95419 95420 95960 95959
4 95959 95960 96500 96499
4 96499 96500 97040 97039
4 382 383 923 922
4 922 923 1463 1462
4 1462 1463 2003 2002
4 2002 2003 2543 2542
4 2542 2543 3083 3082
4 3082 3083 3623 3622
4 3622 3623 4163 4162
4 4162 4163 4703 4702
4 4702 4703 5243 5242
4 5242 5243 5783 5782
4 5782 5783 6323 6322
4 6322 6323 6863 6862
4 6862 6863 7403 7402
4 7402 7403 7943 7942
4 7942 7943 8483 8482
4 8482 8483 9023 9022
4 9022 9023 9563 9562
4 9562 9563 10103 10102
4 10102 10103 10643 10642
4 10642 10643 11183 11182
4 11182 11183 11723 11722
4 11722 11723 12263 12262
4 12262 12263 12803 12802
4 12802 12803 13343 13342
4 13342 13343 13883 13882
4 13882 13883 14423 14422
4 14422 14423 14963 14962
4 14962 14963 15503 15502
4 15502 15503 16043 16042
4 16042 16043 16583 16582
4 16582 16583 17123 17122
4 17122 17123 17663 17662
4 17662 17663 18203 18202
4 18202 18203 18743 18742
4 18742 18743 19283 19282
4 19282 19283 19823 19822
4 19822 19823 20363 20362
4 20362 20363 20903 20902
4 20902 20903 21443 21442
4 21442 21443 21983 21982
4 21982 21983 22523 22522
4 22522 22523 23063 23062
4 23062 23063 23603 23602
4 23602 23603 24143 24142
4 24142 24143 24683 24682
4 24682 24683 25223 25222
4 25222 25223 25763 25762
4 25762 25763 26303 26302
4 26302 26303 26843 26842
4 26842 26843 27383 27382
4 27382 27383 27923 27922
4 27922 27923 28463 28462
4 28462 28463 29003 29002
4 29002 29003 29543 29542
4 29542 29543 30083 30082
4 30082 30083 30623 30622
4 30622 30623 31163 31162
4 31162 31163 31703 31702
4 31702 31703 32243 32242
4 32242 32243 32783 32782
4 32782 32783 33323 33322
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4 928 929 1469 1468
4 1468 1469 2009 2008
4 2008 2009 2549 2548
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4 931 932 1472 1471
4 1471 1472 2012 2011
4 2011 2012 2552 2551
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4 934 935 1475 1474
4 1474 1475 2015 2014
4 2014 2015 2555 2554
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