fond
Model Checking Contest 2021
11th edition, Paris, France, June 23, 2021
Execution of r280-smll-162123888100142
Last Updated
Jun 28, 2021

About the Execution of ITS-Tools for ViralEpidemic-PT-S02D1C1A10

Execution Summary
Max Memory
Used (MB)
Time wait (ms) CPU Usage (ms) I/O Wait (ms) Computed Result Execution
Status
2454.027 434880.00 820224.00 1248.40 T normal

Execution Chart

We display below the execution chart for this examination (boot time has been removed).

Trace from the execution

Formatting '/data/fkordon/mcc2021-input.r280-smll-162123888100142.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fkordon/mcc2021-input.qcow2 cluster_size=65536 lazy_refcounts=off refcount_bits=16
Waiting for the VM to be ready (probing ssh)
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=====================================================================
Generated by BenchKit 2-4028
Executing tool itstools
Input is ViralEpidemic-PT-S02D1C1A10, examination is QuasiLiveness
Time confinement is 1800 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r280-smll-162123888100142
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 9.3M
-rw-r--r-- 1 mcc users 22K May 5 16:58 CTLCardinality.txt
-rw-r--r-- 1 mcc users 125K May 10 09:44 CTLCardinality.xml
-rw-r--r-- 1 mcc users 19K May 5 16:58 CTLFireability.txt
-rw-r--r-- 1 mcc users 97K May 10 09:44 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K May 6 14:48 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 4.4K Mar 28 16:47 LTLCardinality.txt
-rw-r--r-- 1 mcc users 25K Mar 28 16:47 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.9K Mar 28 16:47 LTLFireability.txt
-rw-r--r-- 1 mcc users 19K Mar 28 16:47 LTLFireability.xml
-rw-r--r-- 1 mcc users 5.2K Mar 27 14:40 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 22K Mar 27 14:40 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 3.4K Mar 26 05:40 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 16K Mar 26 05:40 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 2.0K Mar 22 08:16 UpperBounds.txt
-rw-r--r-- 1 mcc users 4.0K Mar 22 08:16 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 May 5 16:52 equiv_col
-rw-r--r-- 1 mcc users 11 May 5 16:52 instance
-rw-r--r-- 1 mcc users 6 May 5 16:52 iscolored
-rw-r--r-- 1 mcc users 8.8M May 5 16:52 model.pnml

--------------------
content from stdout:

=== Data for post analysis generated by BenchKit (invocation template)

The expected result is a vector of booleans
BOOL_VECTOR

FORMULA_NAME QuasiLiveness

=== Now, execution of the tool begins

BK_START 1621380143867

Running Version 0
[2021-05-18 23:22:26] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, QuasiLiveness, -spotpath, /home/mcc/BenchKit/bin//..//ltlfilt, -z3path, /home/mcc/BenchKit/bin//..//z3/bin/z3, -yices2path, /home/mcc/BenchKit/bin//..//yices/bin/yices, -its, -ltsmin, -greatspnpath, /home/mcc/BenchKit/bin//..//greatspn/, -order, META, -manyOrder, -smt, -timeout, 1800]
[2021-05-18 23:22:26] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2021-05-18 23:22:27] [INFO ] Load time of PNML (sax parser for PT used): 990 ms
[2021-05-18 23:22:27] [INFO ] Transformed 8189 places.
[2021-05-18 23:22:27] [INFO ] Transformed 10235 transitions.
[2021-05-18 23:22:27] [INFO ] Found NUPN structural information;
[2021-05-18 23:22:27] [INFO ] Parsed PT model containing 8189 places and 10235 transitions in 1181 ms.
Starting structural reductions, iteration 0 : 8189/8189 places, 10235/10235 transitions.
Applied a total of 0 rules in 1164 ms. Remains 8189 /8189 variables (removed 0) and now considering 10235/10235 (removed 0) transitions.
// Phase 1: matrix 10235 rows 8189 cols
[2021-05-18 23:22:31] [INFO ] Invariants computation overflowed in 2265 ms
[2021-05-18 23:22:33] [INFO ] Implicit Places using invariants in 4719 ms returned []
Implicit Place search using SMT only with invariants took 4769 ms to find 0 implicit places.
// Phase 1: matrix 10235 rows 8189 cols
[2021-05-18 23:22:35] [INFO ] Invariants computation overflowed in 1700 ms
[2021-05-18 23:22:36] [INFO ] Dead Transitions using invariants and state equation in 3233 ms returned []
Finished structural reductions, in 1 iterations. Remains : 8189/8189 places, 10235/10235 transitions.
Discarding 2046 transitions out of 10235. Remains 8189
[2021-05-18 23:22:37] [INFO ] Initial state test concluded for 1 properties.
Incomplete random walk after 10000 steps, including 929 resets, run finished after 10864 ms. (steps per millisecond=0 ) properties (out of 8188) seen :2140
Running SMT prover for 6048 properties.
// Phase 1: matrix 10235 rows 8189 cols
[2021-05-18 23:22:50] [INFO ] Invariants computation overflowed in 1769 ms
[2021-05-18 23:23:15] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-18 23:23:15] [WARNING] SMT solver failed with error :SMT solver raised an error when submitting script.... while checking expressions.
Fused 6048 Parikh solutions to 1 different solutions.
Support contains 6048 out of 8189 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 8189/8189 places, 10235/10235 transitions.
Graph (complete) has 4094 edges and 8189 vertex of which 6805 are kept as prefixes of interest. Removing 1384 places using SCC suffix rule.33 ms
Discarding 1384 places :
Also discarding 746 output transitions
Drop transitions removed 746 transitions
Drop transitions removed 1512 transitions
Reduce isomorphic transitions removed 1512 transitions.
Drop transitions removed 8 transitions
Trivial Post-agglo rules discarded 8 transitions
Performed 8 trivial Post agglomeration. Transition count delta: 8
Iterating post reduction 0 with 1520 rules applied. Total rules applied 1521 place count 6805 transition count 7969
Reduce places removed 8 places and 0 transitions.
Iterating post reduction 1 with 8 rules applied. Total rules applied 1529 place count 6797 transition count 7969
Performed 70 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 2 with 70 Pre rules applied. Total rules applied 1529 place count 6797 transition count 7899
Deduced a syphon composed of 70 places in 13 ms
Reduce places removed 70 places and 0 transitions.
Iterating global reduction 2 with 140 rules applied. Total rules applied 1669 place count 6727 transition count 7899
Performed 338 Post agglomeration using F-continuation condition.Transition count delta: 338
Deduced a syphon composed of 338 places in 4 ms
Reduce places removed 338 places and 0 transitions.
Iterating global reduction 2 with 676 rules applied. Total rules applied 2345 place count 6389 transition count 7561
Renaming transitions due to excessive name length > 1024 char.
Reduce places removed 1 places and 1 transitions.
Iterating global reduction 2 with 1 rules applied. Total rules applied 2346 place count 6388 transition count 7560
Applied a total of 2346 rules in 1300 ms. Remains 6388 /8189 variables (removed 1801) and now considering 7560/10235 (removed 2675) transitions.
Finished structural reductions, in 1 iterations. Remains : 6388/8189 places, 7560/10235 transitions.
[2021-05-18 23:23:18] [INFO ] Flatten gal took : 750 ms
[2021-05-18 23:23:18] [INFO ] Flatten gal took : 443 ms
[2021-05-18 23:23:18] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality14234314664296432654.gal : 114 ms
[2021-05-18 23:23:18] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality15091048171352650249.prop : 38 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality14234314664296432654.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality15091048171352650249.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-reach command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality14234314664296432654.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality15091048171352650249.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality15091048171352650249.prop.
Detected timeout of ITS tools.
[2021-05-18 23:23:34] [INFO ] Flatten gal took : 442 ms
[2021-05-18 23:23:34] [INFO ] Applying decomposition
[2021-05-18 23:23:34] [INFO ] Flatten gal took : 466 ms
Converted graph to binary with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/convert-linux64, -i, /tmp/graph5850988139161771692.txt, -o, /tmp/graph5850988139161771692.bin, -w, /tmp/graph5850988139161771692.weights], workingDir=null]
Built communities with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/louvain-linux64, /tmp/graph5850988139161771692.bin, -l, -1, -v, -w, /tmp/graph5850988139161771692.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-18 23:23:36] [INFO ] Decomposing Gal with order
[2021-05-18 23:23:37] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-18 23:23:42] [INFO ] Removed a total of 6259 redundant transitions.
[2021-05-18 23:23:42] [INFO ] Flatten gal took : 1090 ms
[2021-05-18 23:23:44] [INFO ] Fuse similar labels procedure discarded/fused a total of 4600 labels/synchronizations in 876 ms.
[2021-05-18 23:23:44] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality2923582805180635129.gal : 68 ms
[2021-05-18 23:23:44] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality3231114275539625410.prop : 23 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality2923582805180635129.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality3231114275539625410.prop, --nowitness], workingDir=/home/mcc/execution]

its-reach command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality2923582805180635129.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality3231114275539625410.prop --nowitness
Loading property file /tmp/ReachabilityCardinality3231114275539625410.prop.
Detected timeout of ITS tools.
Built C files in :
/tmp/ltsmin6678243365684271506
[2021-05-18 23:23:59] [INFO ] Built C files in 217ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin6678243365684271506
Running compilation step : CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin6678243365684271506]
WARNING : LTS min runner thread failed on error :java.lang.RuntimeException: Compilation or link of executable timed out.java.util.concurrent.TimeoutException: Subprocess running CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin6678243365684271506] killed by timeout after 1 SECONDS
java.lang.RuntimeException: Compilation or link of executable timed out.java.util.concurrent.TimeoutException: Subprocess running CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin6678243365684271506] killed by timeout after 1 SECONDS
at fr.lip6.move.gal.application.LTSminRunner$1.run(LTSminRunner.java:79)
at java.base/java.lang.Thread.run(Thread.java:834)
Interrupted random walk after 138030 steps, including 91 resets, run timeout after 30001 ms. (steps per millisecond=4 ) properties seen :{0=1, 1=1, 2=1, 3=1, 4=1, 5=1, 6=1, 7=1, 8=1, 9=1, 10=1, 11=1, 12=1, 13=1, 14=1, 15=1, 16=1, 17=1, 18=1, 19=1, 20=1, 21=1, 22=1, 23=1, 24=1, 25=1, 26=1, 27=1, 28=1, 29=1, 30=1, 31=1, 32=1, 33=1, 34=1, 35=1, 36=1, 37=1, 38=1, 39=1, 40=1, 41=1, 42=1, 43=1, 44=1, 45=1, 46=1, 47=1, 48=1, 49=1, 50=1, 51=1, 52=1, 53=1, 54=1, 55=1, 56=1, 57=1, 58=1, 59=1, 60=1, 61=1, 62=1, 63=1, 64=1, 65=1, 66=1, 67=1, 68=1, 69=1, 70=1, 71=1, 72=1, 73=1, 74=1, 75=1, 76=1, 77=1, 78=1, 79=1, 80=1, 81=1, 82=1, 83=1, 84=1, 85=1, 86=1, 87=1, 88=1, 89=1, 90=1, 91=1, 92=1, 93=1, 94=1, 95=1, 96=1, 97=1, 98=1, 99=1, 100=1, 101=1, 102=1, 103=1, 104=1, 105=1, 106=1, 107=1, 108=1, 109=1, 110=1, 111=1, 112=1, 113=1, 114=1, 115=1, 116=1, 117=1, 118=1, 119=1, 120=1, 121=1, 122=1, 123=1, 124=1, 125=1, 126=1, 127=1, 128=1, 129=1, 130=1, 131=1, 132=1, 133=1, 134=1, 135=1, 136=1, 137=1, 138=1, 139=1, 140=1, 141=1, 142=1, 143=1, 144=1, 145=1, 146=1, 147=1, 148=1, 149=1, 150=1, 151=1, 152=1, 153=1, 154=1, 155=1, 156=1, 157=1, 158=1, 159=1, 160=1, 161=1, 162=1, 163=1, 164=1, 165=1, 166=1, 167=1, 168=1, 169=1, 170=1, 171=1, 172=1, 173=1, 174=1, 175=1, 176=1, 177=1, 178=1, 179=1, 180=1, 181=1, 182=1, 183=1, 184=1, 185=1, 186=1, 187=1, 188=1, 189=1, 190=1, 191=1, 192=1, 193=1, 194=1, 195=1, 196=1, 197=1, 198=1, 199=1, 200=1, 201=1, 202=1, 203=1, 204=1, 205=1, 206=1, 207=1, 208=1, 209=1, 210=1, 211=1, 212=1, 213=1, 214=1, 215=1, 216=1, 217=1, 218=1, 219=1, 220=1, 221=1, 222=1, 223=1, 224=1, 225=1, 226=1, 227=1, 228=1, 229=1, 230=1, 231=1, 232=1, 233=1, 234=1, 235=1, 236=1, 237=1, 238=1, 239=1, 240=1, 241=1, 242=1, 243=1, 244=1, 245=1, 246=1, 247=1, 248=1, 249=1, 250=1, 251=1, 252=1, 253=1, 254=1, 255=1, 256=1, 257=1, 258=1, 259=1, 260=1, 261=1, 262=1, 263=1, 264=1, 265=1, 266=1, 267=1, 268=1, 269=1, 270=1, 271=1, 272=1, 273=1, 274=1, 275=1, 276=1, 277=1, 278=1, 279=1, 280=1, 281=1, 282=1, 283=1, 284=1, 285=1, 286=1, 287=1, 288=1, 289=1, 290=1, 291=1, 292=1, 293=1, 294=1, 295=1, 296=1, 297=1, 298=1, 299=1, 300=1, 301=1, 302=1, 303=1, 304=1, 305=1, 306=1, 307=1, 308=1, 309=1, 310=1, 311=1, 312=1, 313=1, 314=1, 315=1, 316=1, 317=1, 318=1, 319=1, 320=1, 321=1, 322=1, 323=1, 324=1, 325=1, 326=1, 327=1, 328=1, 329=1, 330=1, 331=1, 332=1, 333=1, 334=1, 335=1, 336=1, 337=1, 338=1, 339=1, 340=1, 341=1, 342=1, 343=1, 344=1, 345=1, 346=1, 347=1, 348=1, 349=1, 350=1, 351=1, 352=1, 353=1, 354=1, 355=1, 356=1, 357=1, 358=1, 359=1, 360=1, 361=1, 362=1, 363=1, 364=1, 365=1, 366=1, 367=1, 368=1, 369=1, 370=1, 371=1, 372=1, 373=1, 374=1, 375=1, 376=1, 377=1, 378=1, 379=1, 380=1, 381=1, 382=1, 383=1, 384=1, 385=1, 386=1, 387=1, 388=1, 389=1, 390=1, 391=1, 392=1, 393=1, 394=1, 395=1, 396=1, 397=1, 398=1, 399=1, 400=1, 401=1, 402=1, 403=1, 404=1, 405=1, 406=1, 407=1, 408=1, 409=1, 410=1, 411=1, 412=1, 413=1, 414=1, 415=1, 416=1, 417=1, 418=1, 419=1, 420=1, 421=1, 422=1, 423=1, 424=1, 425=1, 426=1, 427=1, 428=1, 429=1, 430=1, 431=1, 432=1, 433=1, 434=1, 435=1, 436=1, 437=1, 438=1, 439=1, 440=1, 441=1, 442=1, 443=1, 444=1, 445=1, 446=1, 447=1, 448=1, 449=1, 450=1, 451=1, 452=1, 453=1, 454=1, 455=1, 456=1, 457=1, 458=1, 459=1, 460=1, 461=1, 462=1, 463=1, 464=1, 465=1, 466=1, 467=1, 468=1, 469=1, 470=1, 471=1, 472=1, 473=1, 474=1, 475=1, 476=1, 477=1, 478=1, 479=1, 480=1, 481=1, 482=1, 483=1, 484=1, 485=1, 486=1, 487=1, 488=1, 489=1, 490=1, 491=1, 492=1, 493=1, 494=1, 495=1, 496=1, 497=1, 498=1, 499=1, 500=1, 501=1, 502=1, 503=1, 504=1, 505=1, 506=1, 507=1, 508=1, 509=1, 510=1, 511=1, 512=1, 513=1, 514=1, 515=1, 516=1, 517=1, 518=1, 519=1, 520=1, 521=1, 522=1, 523=1, 524=1, 525=1, 526=1, 527=1, 528=1, 529=1, 530=1, 531=1, 532=1, 533=1, 534=1, 535=1, 536=1, 537=1, 538=1, 539=1, 540=1, 541=1, 542=1, 543=1, 544=1, 545=1, 546=1, 547=1, 548=1, 549=1, 550=1, 551=1, 552=1, 553=1, 554=1, 555=1, 556=1, 557=1, 558=1, 559=1, 560=1, 561=1, 562=1, 563=1, 564=1, 565=1, 566=1, 567=1, 568=1, 569=1, 570=1, 571=1, 572=1, 573=1, 574=1, 575=1, 576=1, 577=1, 578=1, 579=1, 580=1, 581=1, 582=1, 583=1, 584=1, 585=1, 586=1, 587=1, 588=1, 589=1, 590=1, 591=1, 592=1, 593=1, 594=1, 595=1, 596=1, 597=1, 598=1, 599=1, 600=1, 601=1, 602=1, 603=1, 604=1, 605=1, 606=1, 607=1, 608=1, 609=1, 610=1, 611=1, 612=1, 613=1, 614=1, 615=1, 616=1, 617=1, 618=1, 619=1, 620=1, 621=1, 622=1, 623=1, 624=1, 625=1, 626=1, 627=1, 628=1, 629=1, 630=1, 631=1, 632=1, 633=1, 634=1, 635=1, 636=1, 637=1, 638=1, 639=1, 640=1, 641=1, 642=1, 643=1, 644=1, 645=1, 646=1, 647=1, 648=1, 649=1, 650=1, 651=1, 652=1, 653=1, 654=1, 655=1, 656=1, 657=1, 658=1, 659=1, 660=1, 661=1, 662=1, 663=1, 664=1, 665=1, 666=1, 667=1, 668=1, 669=1, 670=1, 671=1, 672=1, 673=1, 674=1, 675=1, 676=1, 677=1, 678=1, 679=1, 680=1, 681=1, 682=1, 683=1, 684=1, 685=1, 686=1, 687=1, 688=1, 689=1, 690=1, 691=1, 692=1, 693=1, 694=1, 695=1, 696=1, 697=1, 698=1, 699=1, 700=1, 701=1, 702=1, 703=1, 704=1, 705=1, 706=1, 707=1, 708=1, 709=1, 710=1, 711=1, 712=1, 713=1, 714=1, 715=1, 716=1, 717=1, 718=1, 719=1, 720=1, 721=1, 722=1, 723=1, 724=1, 725=1, 726=1, 727=1, 728=1, 729=1, 730=1, 731=1, 732=1, 733=1, 734=1, 735=1, 736=1, 737=1, 738=1, 739=1, 740=1, 741=1, 742=1, 743=1, 744=1, 745=1, 746=1, 747=1, 748=1, 749=1, 750=1, 751=1, 752=1, 753=1, 754=1, 755=1, 756=1, 757=1, 758=1, 759=1, 760=1, 761=1, 762=1, 763=1, 764=1, 765=1, 766=1, 767=1, 768=1, 769=1, 770=1, 771=1, 772=1, 773=1, 774=1, 775=1, 776=1, 777=1, 778=1, 779=1, 780=1, 781=1, 782=1, 783=1, 784=1, 785=1, 786=1, 787=1, 788=1, 789=1, 790=1, 791=1, 792=1, 793=1, 794=1, 795=1, 796=1, 797=1, 798=1, 799=1, 800=1, 801=1, 802=1, 803=1, 804=1, 805=1, 806=1, 807=1, 808=1, 809=1, 810=1, 811=1, 812=1, 813=1, 814=1, 815=1, 816=1, 817=1, 818=1, 819=1, 820=1, 821=1, 822=1, 823=1, 824=1, 825=1, 826=1, 827=1, 828=1, 829=1, 830=1, 831=1, 832=1, 833=1, 834=1, 835=1, 836=1, 837=1, 838=1, 839=1, 840=1, 841=1, 842=1, 843=1, 844=1, 845=1, 846=1, 847=1, 848=1, 849=1, 850=1, 851=1, 852=1, 853=1, 854=1, 855=1, 856=1, 857=1, 858=1, 859=1, 860=1, 861=1, 862=1, 863=1, 864=1, 865=1, 866=1, 867=1, 868=1, 869=1, 870=1, 871=1, 872=1, 873=1, 874=1, 875=1, 876=1, 877=1, 878=1, 879=1, 880=1, 881=1, 882=1, 883=1, 884=1, 885=1, 886=1, 887=1, 888=1, 889=1, 890=1, 891=1, 892=1, 893=1, 894=1, 895=1, 896=1, 897=1, 898=1, 899=1, 900=1, 901=1, 902=1, 903=1, 904=1, 905=1, 906=1, 907=1, 908=1, 909=1, 910=1, 911=1, 912=1, 913=1, 914=1, 915=1, 916=1, 917=1, 918=1, 919=1, 920=1, 921=1, 922=1, 923=1, 924=1, 925=1, 926=1, 927=1, 928=1, 929=1, 930=1, 931=1, 932=1, 933=1, 934=1, 935=1, 936=1, 937=1, 938=1, 939=1, 940=1, 941=1, 942=1, 943=1, 944=1, 945=1, 946=1, 947=1, 948=1, 949=1, 950=1, 951=1, 952=1, 953=1, 954=1, 955=1, 956=1, 957=1, 958=1, 959=1, 960=1, 961=1, 962=1, 963=1, 964=1, 965=1, 966=1, 967=1, 968=1, 969=1, 970=1, 971=1, 972=1, 973=1, 974=1, 975=1, 976=1, 977=1, 978=1, 979=1, 980=1, 981=1, 982=1, 983=1, 984=1, 985=1, 986=1, 987=1, 988=1, 989=1, 990=1, 991=1, 992=1, 993=1, 994=1, 995=1, 996=1, 997=1, 998=1, 999=1, 1000=1, 1001=1, 1002=1, 1003=1, 1004=1, 1005=1, 1006=1, 1007=1, 1008=1, 1009=1, 1010=1, 1011=1, 1012=1, 1013=1, 1014=1, 1015=1, 1016=1, 1017=1, 1018=1, 1019=1, 1020=1, 1021=1, 1022=1, 1023=1, 1024=1, 1025=1, 1026=1, 1027=1, 1028=1, 1029=1, 1030=1, 1031=1, 1032=1, 1033=1, 1034=1, 1035=1, 1036=1, 1037=1, 1038=1, 1039=1, 1040=1, 1041=1, 1042=1, 1043=1, 1044=1, 1045=1, 1046=1, 1047=1, 1048=1, 1049=1, 1050=1, 1051=1, 1052=1, 1053=1, 1054=1, 1055=1, 1056=1, 1057=1, 1058=1, 1059=1, 1060=1, 1061=1, 1062=1, 1063=1, 1064=1, 1065=1, 1066=1, 1067=1, 1068=1, 1069=1, 1070=1, 1071=1, 1072=1, 1073=1, 1074=1, 1075=1, 1076=1, 1077=1, 1078=1, 1079=1, 1080=1, 1081=1, 1082=1, 1083=1, 1084=1, 1085=1, 1086=1, 1087=1, 1088=1, 1089=1, 1090=1, 1091=1, 1092=1, 1093=1, 1094=1, 1095=1, 1096=1, 1097=1, 1098=1, 1099=1, 1100=1, 1101=1, 1102=1, 1103=1, 1104=1, 1105=1, 1106=1, 1107=1, 1108=1, 1109=1, 1110=1, 1111=1, 1112=1, 1113=1, 1114=1, 1115=1, 1116=1, 1117=1, 1118=1, 1119=1, 1120=1, 1121=1, 1122=1, 1123=1, 1124=1, 1125=1, 1126=1, 1127=1, 1128=1, 1129=1, 1130=1, 1131=1, 1132=1, 1133=1, 1134=1, 1135=1, 1136=1, 1137=1, 1138=1, 1139=1, 1140=1, 1141=1, 1142=1, 1143=1, 1144=1, 1145=1, 1146=1, 1147=1, 1148=1, 1149=1, 1150=1, 1151=1, 1152=1, 1153=1, 1154=1, 1155=1, 1156=1, 1157=1, 1158=1, 1159=1, 1160=1, 1161=1, 1162=1, 1163=1, 1164=1, 1165=1, 1166=1, 1167=1, 1168=1, 1169=1, 1170=1, 1171=1, 1172=1, 1173=1, 1174=1, 1175=1, 1176=1, 1177=1, 1178=1, 1179=1, 1180=1, 1181=1, 1182=1, 1183=1, 1184=1, 1185=1, 1186=1, 1187=1, 1188=1, 1189=1, 1190=1, 1191=1, 1192=1, 1193=1, 1194=1, 1195=1, 1196=1, 1197=1, 1198=1, 1199=1, 1200=1, 1201=1, 1202=1, 1203=1, 1204=1, 1205=1, 1206=1, 1207=1, 1208=1, 1209=1, 1210=1, 1211=1, 1212=1, 1213=1, 1214=1, 1215=1, 1216=1, 1217=1, 1218=1, 1219=1, 1220=1, 1221=1, 1222=1, 1223=1, 1224=1, 1225=1, 1226=1, 1227=1, 1228=1, 1229=1, 1230=1, 1231=1, 1232=1, 1233=1, 1234=1, 1235=1, 1236=1, 1237=1, 1238=1, 1239=1, 1240=1, 1241=1, 1242=1, 1243=1, 1244=1, 1245=1, 1246=1, 1247=1, 1248=1, 1249=1, 1250=1, 1251=1, 1252=1, 1253=1, 1254=1, 1255=1, 1256=1, 1257=1, 1258=1, 1259=1, 1260=1, 1261=1, 1262=1, 1263=1, 1264=1, 1265=1, 1266=1, 1267=1, 1268=1, 1269=1, 1270=1, 1271=1, 1272=1, 1273=1, 1274=1, 1275=1, 1276=1, 1277=1, 1278=1, 1279=1, 1280=1, 1281=1, 1282=1, 1283=1, 1284=1, 1285=1, 1286=1, 1287=1, 1288=1, 1289=1, 1290=1, 1291=1, 1292=1, 1293=1, 1294=1, 1295=1, 1296=1, 1297=1, 1298=1, 1299=1, 1300=1, 1301=1, 1302=1, 1303=1, 1304=1, 1305=1, 1306=1, 1307=1, 1308=1, 1309=1, 1310=1, 1311=1, 1312=1, 1313=1, 1314=1, 1315=1, 1316=1, 1317=1, 1318=1, 1319=1, 1320=1, 1321=1, 1322=1, 1323=1, 1324=1, 1325=1, 1326=1, 1327=1, 1328=1, 1329=1, 1330=1, 1331=1, 1332=1, 1333=1, 1334=1, 1335=1, 1336=1, 1337=1, 1338=1, 1339=1, 1340=1, 1341=1, 1342=1, 1343=1, 1344=1, 1345=1, 1346=1, 1347=1, 1348=1, 1349=1, 1350=1, 1351=1, 1352=1, 1353=1, 1354=1, 1355=1, 1356=1, 1357=1, 1358=1, 1359=1, 1360=1, 1361=1, 1362=1, 1363=1, 1364=1, 1365=1, 1366=1, 1367=1, 1368=1, 1369=1, 1370=1, 1371=1, 1372=1, 1373=1, 1374=1, 1375=1, 1376=1, 1377=1, 1378=1, 1379=1, 1380=1, 1381=1, 1382=1, 1383=1, 1384=1, 1385=1, 1386=1, 1387=1, 1388=1, 1389=1, 1390=1, 1391=1, 1392=1, 1393=1, 1394=1, 1395=1, 1396=1, 1397=1, 1398=1, 1399=1, 1400=1, 1401=1, 1402=1, 1403=1, 1404=1, 1405=1, 1406=1, 1407=1, 1408=1, 1409=1, 1410=1, 1411=1, 1412=1, 1413=1, 1414=1, 1415=1, 1416=1, 1417=1, 1418=1, 1419=1, 1420=1, 1421=1, 1422=1, 1423=1, 1424=1, 1425=1, 1426=1, 1427=1, 1428=1, 1429=1, 1430=1, 1431=1, 1432=1, 1433=1, 1434=1, 1435=1, 1436=1, 1437=1, 1438=1, 1439=1, 1440=1, 1441=1, 1442=1, 1443=1, 1444=1, 1445=1, 1446=1, 1447=1, 1448=1, 1449=1, 1450=1, 1451=1, 1452=1, 1453=1, 1454=1, 1455=1, 1456=1, 1457=1, 1458=1, 1459=1, 1460=1, 1461=1, 1462=1, 1463=1, 1464=1, 1465=1, 1466=1, 1467=1, 1468=1, 1469=1, 1470=1, 1471=1, 1472=1, 1473=1, 1474=1, 1475=1, 1476=1, 1477=1, 1478=1, 1479=1, 1480=1, 1481=1, 1482=1, 1483=1, 1484=1, 1485=1, 1486=1, 1487=1, 1488=1, 1489=1, 1490=1, 1491=1, 1492=1, 1493=1, 1494=1, 1495=1, 1496=1, 1497=1, 1498=1, 1499=1, 1500=1, 1501=1, 1502=1, 1503=1, 1504=1, 1505=1, 1506=1, 1507=1, 1508=1, 1509=1, 1510=1, 1511=1, 1512=1, 1513=1, 1514=1, 1515=1, 1516=1, 1517=1, 1518=1, 1519=1, 1520=1, 1521=1, 1526=1, 1527=1, 1528=1, 1529=1, 1530=1, 1531=1, 1532=1, 1533=1, 1534=1, 1535=1, 1536=1, 1537=1, 1538=1, 1539=1, 1540=1, 1541=1, 1542=1, 1543=1, 1544=1, 1545=1, 1546=1, 1547=1, 1548=1, 1549=1, 1550=1, 1551=1, 1552=1, 1553=1, 1554=1, 1555=1, 1556=1, 1557=1, 1558=1, 1559=1, 1560=1, 1561=1, 1562=1, 1563=1, 1564=1, 1565=1, 1566=1, 1567=1, 1568=1, 1569=1, 1570=1, 1571=1, 1572=1, 1573=1, 1574=1, 1575=1, 1576=1, 1577=1, 1578=1, 1579=1, 1580=1, 1581=1, 1582=1, 1583=1, 1584=1, 1585=1, 1586=1, 1587=1, 1588=1, 1589=1, 1590=1, 1591=1, 1592=1, 1593=1, 1594=1, 1595=1, 1596=1, 1597=1, 1598=1, 1599=1, 1600=1, 1601=1, 1602=1, 1603=1, 1604=1, 1605=1, 1606=1, 1607=1, 1608=1, 1609=1, 1610=1, 1611=1, 1612=1, 1613=1, 1614=1, 1615=1, 1616=1, 1617=1, 1618=1, 1619=1, 1620=1, 1621=1, 1622=1, 1623=1, 1624=1, 1625=1, 1626=1, 1627=1, 1628=1, 1629=1, 1630=1, 1631=1, 1632=1, 1633=1, 1634=1, 1635=1, 1636=1, 1637=1, 1638=1, 1639=1, 1640=1, 1641=1, 1642=1, 1643=1, 1644=1, 1645=1, 1646=1, 1647=1, 1648=1, 1649=1, 1650=1, 1651=1, 1652=1, 1653=1, 1654=1, 1655=1, 1656=1, 1657=1, 1658=1, 1659=1, 1660=1, 1661=1, 1662=1, 1663=1, 1664=1, 1665=1, 1666=1, 1667=1, 1668=1, 1669=1, 1670=1, 1671=1, 1672=1, 1673=1, 1674=1, 1675=1, 1676=1, 1677=1, 1678=1, 1679=1, 1680=1, 1681=1, 1682=1, 1683=1, 1684=1, 1685=1, 1686=1, 1687=1, 1688=1, 1689=1, 1690=1, 1691=1, 1692=1, 1693=1, 1694=1, 1695=1, 1696=1, 1697=1, 1698=1, 1699=1, 1700=1, 1701=1, 1702=1, 1703=1, 1704=1, 1705=1, 1706=1, 1707=1, 1708=1, 1709=1, 1710=1, 1711=1, 1712=1, 1713=1, 1714=1, 1715=1, 1716=1, 1717=1, 1718=1, 1719=1, 1720=1, 1721=1, 1722=1, 1723=1, 1724=1, 1725=1, 1726=1, 1727=1, 1728=1, 1729=1, 1730=1, 1731=1, 1732=1, 1733=1, 1734=1, 1735=1, 1736=1, 1737=1, 1738=1, 1739=1, 1740=1, 1741=1, 1742=1, 1743=1, 1744=1, 1745=1, 1746=1, 1747=1, 1748=1, 1749=1, 1750=1, 1751=1, 1752=1, 1753=1, 1754=1, 1755=1, 1756=1, 1757=1, 1758=1, 1759=1, 1760=1, 1761=1, 1762=1, 1763=1, 1764=1, 1765=1, 1766=1, 1767=1, 1768=1, 1769=1, 1770=1, 1771=1, 1772=1, 1773=1, 1774=1, 1775=1, 1776=1, 1777=1, 1778=1, 1779=1, 1780=1, 1781=1, 1782=1, 1783=1, 1784=1, 1785=1, 1786=1, 1787=1, 1788=1, 1789=1, 1790=1, 1791=1, 1792=1, 1793=1, 1794=1, 1795=1, 1796=1, 1797=1, 1798=1, 1799=1, 1800=1, 1801=1, 1802=1, 1803=1, 1804=1, 1805=1, 1806=1, 1807=1, 1808=1, 1809=1, 1810=1, 1811=1, 1812=1, 1813=1, 1814=1, 1815=1, 1816=1, 1817=1, 1818=1, 1819=1, 1820=1, 1821=1, 1822=1, 1823=1, 1824=1, 1825=1, 1826=1, 1827=1, 1828=1, 1829=1, 1830=1, 1831=1, 1832=1, 1833=1, 1834=1, 1835=1, 1836=1, 1837=1, 1838=1, 1839=1, 1840=1, 1841=1, 1842=1, 1843=1, 1844=1, 1845=1, 1846=1, 1847=1, 1848=1, 1849=1, 1850=1, 1851=1, 1852=1, 1853=1, 1854=1, 1855=1, 1856=1, 1857=1, 1858=1, 1859=1, 1860=1, 1861=1, 1862=1, 1863=1, 1864=1, 1865=1, 1866=1, 1867=1, 1868=1, 1869=1, 1870=1, 1871=1, 1872=1, 1873=1, 1874=1, 1875=1, 1876=1, 1877=1, 1878=1, 1879=1, 1880=1, 1881=1, 1882=1, 1883=1, 1884=1, 1885=1, 1886=1, 1887=1, 1888=1, 1889=1, 1890=1, 1891=1, 1892=1, 1893=1, 1894=1, 1895=1, 1896=1, 1897=1, 1898=1, 1899=1, 1900=1, 1901=1, 1902=1, 1903=1, 1904=1, 1905=1, 1906=1, 1907=1, 1908=1, 1909=1, 1910=1, 1911=1, 1912=1, 1913=1, 1914=1, 1915=1, 1916=1, 1917=1, 1918=1, 1919=1, 1920=1, 1921=1, 1922=1, 1923=1, 1924=1, 1925=1, 1926=1, 1927=1, 1928=1, 1929=1, 1930=1, 1931=1, 1932=1, 1933=1, 1934=1, 1935=1, 1936=1, 1937=1, 1938=1, 1939=1, 1940=1, 1941=1, 1942=1, 1943=1, 1944=1, 1945=1, 1946=1, 1947=1, 1948=1, 1949=1, 1950=1, 1951=1, 1952=1, 1953=1, 1954=1, 1955=1, 1956=1, 1957=1, 1958=1, 1959=1, 1960=1, 1961=1, 1962=1, 1963=1, 1964=1, 1965=1, 1966=1, 1967=1, 1968=1, 1969=1, 1970=1, 1971=1, 1972=1, 1973=1, 1974=1, 1975=1, 1976=1, 1977=1, 1978=1, 1979=1, 1980=1, 1981=1, 1982=1, 1983=1, 1984=1, 1985=1, 1986=1, 1987=1, 1988=1, 1989=1, 1990=1, 1991=1, 1992=1, 1993=1, 1994=1, 1995=1, 1996=1, 1997=1, 1998=1, 1999=1, 2000=1, 2001=1, 2002=1, 2003=1, 2004=1, 2005=1, 2006=1, 2007=1, 2008=1, 2009=1, 2010=1, 2011=1, 2012=1, 2013=1, 2014=1, 2015=1, 2016=1, 2017=1, 2018=1, 2019=1, 2020=1, 2021=1, 2022=1, 2023=1, 2024=1, 2025=1, 2026=1, 2027=1, 2028=1, 2029=1, 2030=1, 2031=1, 2032=1, 2033=1, 2034=1, 2035=1, 2036=1, 2037=1, 2038=1, 2039=1, 2040=1, 2041=1, 2042=1, 2043=1, 2044=1, 2045=1, 2046=1, 2047=1, 2048=1, 2049=1, 2050=1, 2051=1, 2052=1, 2053=1, 2054=1, 2055=1, 2056=1, 2057=1, 2058=1, 2059=1, 2060=1, 2061=1, 2062=1, 2063=1, 2064=1, 2065=1, 2066=1, 2067=1, 2068=1, 2069=1, 2070=1, 2071=1, 2072=1, 2073=1, 2074=1, 2075=1, 2076=1, 2077=1, 2078=1, 2079=1, 2080=1, 2081=1, 2082=1, 2083=1, 2084=1, 2085=1, 2086=1, 2087=1, 2088=1, 2089=1, 2090=1, 2091=1, 2092=1, 2093=1, 2094=1, 2095=1, 2096=1, 2097=1, 2098=1, 2099=1, 2100=1, 2101=1, 2102=1, 2103=1, 2104=1, 2105=1, 2106=1, 2107=1, 2108=1, 2109=1, 2110=1, 2111=1, 2112=1, 2113=1, 2114=1, 2115=1, 2116=1, 2117=1, 2118=1, 2119=1, 2120=1, 2121=1, 2122=1, 2123=1, 2124=1, 2125=1, 2126=1, 2127=1, 2128=1, 2129=1, 2130=1, 2131=1, 2132=1, 2133=1, 2134=1, 2135=1, 2136=1, 2137=1, 2138=1, 2139=1, 2140=1, 2141=1, 2142=1, 2143=1, 2144=1, 2145=1, 2146=1, 2147=1, 2148=1, 2149=1, 2150=1, 2151=1, 2152=1, 2153=1, 2154=1, 2155=1, 2156=1, 2157=1, 2158=1, 2159=1, 2160=1, 2161=1, 2162=1, 2163=1, 2164=1, 2165=1, 2166=1, 2167=1, 2168=1, 2169=1, 2170=1, 2171=1, 2172=1, 2173=1, 2174=1, 2175=1, 2176=1, 2177=1, 2178=1, 2179=1, 2180=1, 2181=1, 2182=1, 2183=1, 2184=1, 2185=1, 2186=1, 2187=1, 2188=1, 2189=1, 2190=1, 2191=1, 2192=1, 2193=1, 2194=1, 2195=1, 2196=1, 2197=1, 2198=1, 2199=1, 2200=1, 2201=1, 2202=1, 2203=1, 2204=1, 2205=1, 2206=1, 2207=1, 2208=1, 2209=1, 2210=1, 2211=1, 2212=1, 2213=1, 2214=1, 2215=1, 2216=1, 2217=1, 2218=1, 2219=1, 2220=1, 2221=1, 2222=1, 2223=1, 2224=1, 2225=1, 2226=1, 2227=1, 2228=1, 2229=1, 2230=1, 2231=1, 2232=1, 2233=1, 2234=1, 2235=1, 2236=1, 2237=1, 2238=1, 2239=1, 2240=1, 2241=1, 2242=1, 2243=1, 2244=1, 2245=1, 2246=1, 2247=1, 2248=1, 2249=1, 2250=1, 2251=1, 2252=1, 2253=1, 2254=1, 2255=1, 2256=1, 2257=1, 2258=1, 2259=1, 2260=1, 2261=1, 2262=1, 2263=1, 2264=1, 2265=1, 2266=1, 2267=1, 2268=1, 2269=1, 2270=1, 2271=1, 2272=1, 2273=1, 2274=1, 2275=1, 2278=1, 2279=1, 2282=1, 2283=1, 2284=1, 2285=1, 2286=1, 2287=1, 2288=1, 2289=1, 2290=1, 2291=1, 2292=1, 2293=1, 2294=1, 2295=1, 2300=1, 2301=1, 2302=1, 2303=1, 2304=1, 2305=1, 2306=1, 2307=1, 2308=1, 2309=1, 2310=1, 2311=1, 2312=1, 2313=1, 2314=1, 2315=1, 2316=1, 2317=1, 2318=1, 2319=1, 2320=1, 2321=1, 2322=1, 2323=1, 2324=1, 2325=1, 2326=1, 2327=1, 2328=1, 2329=1, 2330=1, 2331=1, 2332=1, 2333=1, 2334=1, 2335=1, 2336=1, 2337=1, 2338=1, 2339=1, 2340=1, 2341=1, 2342=1, 2343=1, 2344=1, 2345=1, 2346=1, 2347=1, 2348=1, 2349=1, 2350=1, 2351=1, 2352=1, 2353=1, 2354=1, 2355=1, 2356=1, 2357=1, 2358=1, 2361=1, 2362=1, 2365=1, 2366=1, 2367=1, 2368=1, 2369=1, 2370=1, 2371=1, 2372=1, 2373=1, 2374=1, 2375=1, 2376=1, 2377=1, 2378=1, 2379=1, 2380=1, 2381=1, 2382=1, 2383=1, 2384=1, 2387=1, 2388=1, 2391=1, 2392=1, 2393=1, 2394=1, 2395=1, 2396=1, 2397=1, 2398=1, 2399=1, 2400=1, 2401=1, 2402=1, 2403=1, 2404=1, 2405=1, 2406=1, 2407=1, 2408=1, 2409=1, 2410=1, 2411=1, 2412=1, 2413=1, 2414=1, 2415=1, 2416=1, 2417=1, 2418=1, 2419=1, 2420=1, 2421=1, 2422=1, 2423=1, 2424=1, 2425=1, 2426=1, 2427=1, 2428=1, 2429=1, 2430=1, 2431=1, 2432=1, 2433=1, 2434=1, 2435=1, 2436=1, 2437=1, 2438=1, 2439=1, 2440=1, 2441=1, 2442=1, 2443=1, 2444=1, 2445=1, 2446=1, 2447=1, 2448=1, 2449=1, 2450=1, 2451=1, 2452=1, 2453=1, 2454=1, 2455=1, 2456=1, 2457=1, 2458=1, 2459=1, 2460=1, 2461=1, 2462=1, 2463=1, 2464=1, 2465=1, 2466=1, 2467=1, 2468=1, 2469=1, 2470=1, 2471=1, 2472=1, 2473=1, 2474=1, 2475=1, 2476=1, 2477=1, 2478=1, 2479=1, 2480=1, 2481=1, 2482=1, 2483=1, 2484=1, 2485=1, 2486=1, 2487=1, 2488=1, 2489=1, 2490=1, 2491=1, 2492=1, 2493=1, 2494=1, 2495=1, 2496=1, 2497=1, 2498=1, 2499=1, 2500=1, 2501=1, 2502=1, 2503=1, 2504=1, 2505=1, 2506=1, 2507=1, 2508=1, 2509=1, 2510=1, 2511=1, 2512=1, 2513=1, 2514=1, 2515=1, 2516=1, 2517=1, 2518=1, 2519=1, 2520=1, 2521=1, 2522=1, 2523=1, 2524=1, 2525=1, 2526=1, 2527=1, 2528=1, 2529=1, 2530=1, 2531=1, 2532=1, 2533=1, 2534=1, 2535=1, 2536=1, 2537=1, 2538=1, 2539=1, 2540=1, 2541=1, 2542=1, 2543=1, 2544=1, 2545=1, 2546=1, 2547=1, 2548=1, 2549=1, 2550=1, 2551=1, 2552=1, 2553=1, 2554=1, 2555=1, 2556=1, 2557=1, 2558=1, 2559=1, 2560=1, 2561=1, 2562=1, 2563=1, 2564=1, 2565=1, 2566=1, 2567=1, 2568=1, 2569=1, 2570=1, 2571=1, 2572=1, 2573=1, 2574=1, 2575=1, 2576=1, 2577=1, 2578=1, 2579=1, 2580=1, 2581=1, 2582=1, 2583=1, 2584=1, 2585=1, 2586=1, 2587=1, 2588=1, 2589=1, 2590=1, 2591=1, 2592=1, 2593=1, 2594=1, 2595=1, 2596=1, 2597=1, 2598=1, 2599=1, 2600=1, 2601=1, 2602=1, 2603=1, 2604=1, 2605=1, 2606=1, 2607=1, 2608=1, 2609=1, 2610=1, 2611=1, 2612=1, 2613=1, 2614=1, 2615=1, 2616=1, 2617=1, 2618=1, 2619=1, 2620=1, 2621=1, 2622=1, 2623=1, 2624=1, 2625=1, 2626=1, 2627=1, 2628=1, 2629=1, 2630=1, 2631=1, 2632=1, 2633=1, 2634=1, 2635=1, 2636=1, 2637=1, 2638=1, 2639=1, 2640=1, 2641=1, 2642=1, 2643=1, 2644=1, 2645=1, 2646=1, 2647=1, 2648=1, 2649=1, 2650=1, 2651=1, 2652=1, 2653=1, 2654=1, 2655=1, 2656=1, 2657=1, 2658=1, 2659=1, 2660=1, 2661=1, 2662=1, 2663=1, 2664=1, 2665=1, 2666=1, 2667=1, 2668=1, 2669=1, 2670=1, 2671=1, 2672=1, 2673=1, 2674=1, 2675=1, 2676=1, 2677=1, 2678=1, 2679=1, 2680=1, 2681=1, 2682=1, 2683=1, 2684=1, 2685=1, 2686=1, 2687=1, 2688=1, 2689=1, 2690=1, 2691=1, 2692=1, 2693=1, 2694=1, 2695=1, 2696=1, 2697=1, 2698=1, 2699=1, 2700=1, 2701=1, 2702=1, 2703=1, 2704=1, 2705=1, 2706=1, 2707=1, 2708=1, 2709=1, 2710=1, 2711=1, 2712=1, 2713=1, 2714=1, 2715=1, 2716=1, 2717=1, 2718=1, 2719=1, 2720=1, 2721=1, 2722=1, 2723=1, 2724=1, 2725=1, 2726=1, 2727=1, 2728=1, 2729=1, 2730=1, 2731=1, 2732=1, 2733=1, 2734=1, 2735=1, 2736=1, 2737=1, 2738=1, 2739=1, 2740=1, 2741=1, 2742=1, 2743=1, 2744=1, 2745=1, 2746=1, 2747=1, 2748=1, 2749=1, 2750=1, 2751=1, 2752=1, 2753=1, 2754=1, 2755=1, 2756=1, 2757=1, 2758=1, 2759=1, 2760=1, 2761=1, 2762=1, 2763=1, 2764=1, 2765=1, 2766=1, 2767=1, 2768=1, 2769=1, 2770=1, 2771=1, 2772=1, 2773=1, 2774=1, 2775=1, 2776=1, 2777=1, 2778=1, 2779=1, 2780=1, 2781=1, 2782=1, 2783=1, 2784=1, 2785=1, 2786=1, 2787=1, 2788=1, 2789=1, 2790=1, 2791=1, 2792=1, 2793=1, 2794=1, 2795=1, 2796=1, 2797=1, 2798=1, 2799=1, 2800=1, 2801=1, 2802=1, 2803=1, 2804=1, 2805=1, 2806=1, 2807=1, 2808=1, 2809=1, 2810=1, 2811=1, 2812=1, 2813=1, 2814=1, 2815=1, 2816=1, 2817=1, 2818=1, 2819=1, 2820=1, 2821=1, 2822=1, 2823=1, 2824=1, 2825=1, 2826=1, 2827=1, 2828=1, 2829=1, 2830=1, 2831=1, 2832=1, 2833=1, 2834=1, 2835=1, 2836=1, 2837=1, 2838=1, 2839=1, 2840=1, 2841=1, 2842=1, 2843=1, 2844=1, 2845=1, 2846=1, 2847=1, 2848=1, 2849=1, 2850=1, 2851=1, 2852=1, 2853=1, 2854=1, 2855=1, 2856=1, 2857=1, 2858=1, 2859=1, 2860=1, 2861=1, 2862=1, 2863=1, 2864=1, 2865=1, 2866=1, 2867=1, 2868=1, 2869=1, 2870=1, 2871=1, 2872=1, 2873=1, 2874=1, 2875=1, 2876=1, 2877=1, 2878=1, 2879=1, 2880=1, 2881=1, 2882=1, 2883=1, 2884=1, 2885=1, 2886=1, 2887=1, 2888=1, 2889=1, 2890=1, 2891=1, 2892=1, 2893=1, 2894=1, 2895=1, 2896=1, 2897=1, 2898=1, 2899=1, 2900=1, 2901=1, 2902=1, 2903=1, 2904=1, 2905=1, 2906=1, 2907=1, 2908=1, 2909=1, 2910=1, 2911=1, 2912=1, 2913=1, 2914=1, 2915=1, 2916=1, 2917=1, 2918=1, 2919=1, 2920=1, 2921=1, 2922=1, 2923=1, 2924=1, 2925=1, 2926=1, 2927=1, 2928=1, 2929=1, 2930=1, 2931=1, 2932=1, 2933=1, 2934=1, 2935=1, 2936=1, 2937=1, 2938=1, 2939=1, 2940=1, 2941=1, 2942=1, 2943=1, 2944=1, 2945=1, 2946=1, 2947=1, 2948=1, 2949=1, 2950=1, 2951=1, 2952=1, 2953=1, 2954=1, 2955=1, 2956=1, 2957=1, 2958=1, 2959=1, 2960=1, 2961=1, 2962=1, 2963=1, 2964=1, 2965=1, 2966=1, 2967=1, 2968=1, 2969=1, 2970=1, 2971=1, 2972=1, 2973=1, 2974=1, 2975=1, 2976=1, 2977=1, 2978=1, 2979=1, 2980=1, 2981=1, 2982=1, 2983=1, 2984=1, 2985=1, 2986=1, 2987=1, 2988=1, 2989=1, 2990=1, 2991=1, 2992=1, 2993=1, 2994=1, 2995=1, 2996=1, 2997=1, 2998=1, 2999=1, 3000=1, 3001=1, 3002=1, 3003=1, 3004=1, 3005=1, 3006=1, 3007=1, 3008=1, 3009=1, 3010=1, 3011=1, 3012=1, 3013=1, 3014=1, 3015=1, 3016=1, 3017=1, 3018=1, 3019=1, 3020=1, 3021=1, 3022=1, 3023=1, 3024=1, 3025=1, 3026=1, 3027=1, 3028=1, 3029=1, 3030=1, 3031=1, 3032=1, 3033=1, 3034=1, 3035=1, 3036=1, 3037=1, 3038=1, 3039=1, 3040=1, 3041=1, 3042=1, 3043=1, 3044=1, 3045=1, 3046=1, 3047=1, 3048=1, 3049=1, 3050=1, 3051=1, 3052=1, 3053=1, 3054=1, 3055=1, 3056=1, 3057=1, 3058=1, 3059=1, 3060=1, 3061=1, 3062=1, 3063=1, 3064=1, 3065=1, 3066=1, 3067=1, 3068=1, 3069=1, 3070=1, 3071=1, 3072=1, 3073=1, 3074=1, 3075=1, 3076=1, 3077=1, 3078=1, 3079=1, 3080=1, 3081=1, 3082=1, 3083=1, 3084=1, 3085=1, 3086=1, 3087=1, 3088=1, 3089=1, 3090=1, 3091=1, 3092=1, 3093=1, 3094=1, 3095=1, 3096=1, 3097=1, 3098=1, 3099=1, 3100=1, 3101=1, 3102=1, 3103=1, 3104=1, 3105=1, 3106=1, 3107=1, 3108=1, 3109=1, 3110=1, 3111=1, 3112=1, 3113=1, 3114=1, 3115=1, 3116=1, 3117=1, 3118=1, 3119=1, 3120=1, 3121=1, 3122=1, 3123=1, 3124=1, 3125=1, 3126=1, 3127=1, 3128=1, 3129=1, 3130=1, 3131=1, 3132=1, 3133=1, 3134=1, 3135=1, 3136=1, 3137=1, 3138=1, 3139=1, 3140=1, 3141=1, 3142=1, 3143=1, 3144=1, 3145=1, 3146=1, 3147=1, 3148=1, 3149=1, 3150=1, 3151=1, 3152=1, 3153=1, 3154=1, 3155=1, 3156=1, 3157=1, 3158=1, 3159=1, 3160=1, 3161=1, 3162=1, 3163=1, 3164=1, 3165=1, 3166=1, 3167=1, 3168=1, 3169=1, 3170=1, 3171=1, 3172=1, 3173=1, 3174=1, 3175=1, 3176=1, 3177=1, 3178=1, 3179=1, 3180=1, 3181=1, 3182=1, 3183=1, 3184=1, 3185=1, 3186=1, 3187=1, 3188=1, 3189=1, 3190=1, 3191=1, 3192=1, 3193=1, 3194=1, 3195=1, 3196=1, 3197=1, 3198=1, 3199=1, 3200=1, 3201=1, 3202=1, 3203=1, 3204=1, 3205=1, 3206=1, 3207=1, 3208=1, 3209=1, 3210=1, 3211=1, 3212=1, 3213=1, 3214=1, 3215=1, 3216=1, 3217=1, 3218=1, 3219=1, 3220=1, 3221=1, 3222=1, 3223=1, 3224=1, 3225=1, 3226=1, 3227=1, 3228=1, 3229=1, 3230=1, 3231=1, 3232=1, 3233=1, 3234=1, 3235=1, 3236=1, 3237=1, 3238=1, 3239=1, 3240=1, 3241=1, 3242=1, 3243=1, 3244=1, 3245=1, 3246=1, 3247=1, 3248=1, 3249=1, 3250=1, 3251=1, 3252=1, 3253=1, 3254=1, 3255=1, 3256=1, 3257=1, 3258=1, 3259=1, 3260=1, 3261=1, 3262=1, 3263=1, 3264=1, 3265=1, 3266=1, 3267=1, 3268=1, 3269=1, 3270=1, 3271=1, 3272=1, 3273=1, 3274=1, 3275=1, 3276=1, 3277=1, 3278=1, 3279=1, 3280=1, 3281=1, 3282=1, 3283=1, 3284=1, 3285=1, 3286=1, 3287=1, 3288=1, 3289=1, 3290=1, 3291=1, 3292=1, 3293=1, 3294=1, 3295=1, 3296=1, 3297=1, 3298=1, 3299=1, 3300=1, 3301=1, 3302=1, 3303=1, 3304=1, 3305=1, 3306=1, 3307=1, 3308=1, 3309=1, 3310=1, 3311=1, 3312=1, 3313=1, 3314=1, 3315=1, 3316=1, 3317=1, 3318=1, 3319=1, 3320=1, 3321=1, 3322=1, 3323=1, 3324=1, 3325=1, 3326=1, 3327=1, 3328=1, 3329=1, 3330=1, 3331=1, 3332=1, 3333=1, 3334=1, 3335=1, 3336=1, 3337=1, 3338=1, 3339=1, 3340=1, 3341=1, 3342=1, 3343=1, 3344=1, 3345=1, 3346=1, 3347=1, 3348=1, 3349=1, 3350=1, 3351=1, 3352=1, 3353=1, 3354=1, 3355=1, 3356=1, 3357=1, 3358=1, 3359=1, 3360=1, 3361=1, 3362=1, 3363=1, 3364=1, 3365=1, 3366=1, 3367=1, 3368=1, 3369=1, 3370=1, 3371=1, 3372=1, 3373=1, 3374=1, 3375=1, 3376=1, 3377=1, 3378=1, 3379=1, 3380=1, 3381=1, 3382=1, 3383=1, 3384=1, 3385=1, 3386=1, 3387=1, 3388=1, 3389=1, 3390=1, 3391=1, 3392=1, 3393=1, 3394=1, 3395=1, 3396=1, 3397=1, 3398=1, 3399=1, 3400=1, 3401=1, 3402=1, 3403=1, 3404=1, 3405=1, 3406=1, 3407=1, 3408=1, 3409=1, 3410=1, 3411=1, 3412=1, 3413=1, 3414=1, 3415=1, 3416=1, 3417=1, 3418=1, 3419=1, 3420=1, 3421=1, 3422=1, 3423=1, 3424=1, 3425=1, 3426=1, 3427=1, 3428=1, 3429=1, 3430=1, 3431=1, 3432=1, 3433=1, 3434=1, 3435=1, 3436=1, 3437=1, 3438=1, 3439=1, 3440=1, 3441=1, 3442=1, 3443=1, 3444=1, 3445=1, 3446=1, 3447=1, 3448=1, 3449=1, 3450=1, 3451=1, 3452=1, 3453=1, 3454=1, 3455=1, 3456=1, 3457=1, 3458=1, 3459=1, 3460=1, 3461=1, 3462=1, 3463=1, 3464=1, 3465=1, 3466=1, 3467=1, 3468=1, 3469=1, 3470=1, 3471=1, 3472=1, 3473=1, 3474=1, 3475=1, 3476=1, 3477=1, 3478=1, 3479=1, 3480=1, 3481=1, 3482=1, 3483=1, 3484=1, 3485=1, 3486=1, 3487=1, 3488=1, 3489=1, 3490=1, 3491=1, 3492=1, 3493=1, 3494=1, 3495=1, 3496=1, 3497=1, 3498=1, 3499=1, 3500=1, 3501=1, 3502=1, 3503=1, 3504=1, 3505=1, 3506=1, 3507=1, 3508=1, 3509=1, 3510=1, 3511=1, 3512=1, 3513=1, 3514=1, 3515=1, 3516=1, 3517=1, 3518=1, 3519=1, 3520=1, 3521=1, 3522=1, 3523=1, 3524=1, 3525=1, 3526=1, 3527=1, 3528=1, 3529=1, 3530=1, 3531=1, 3532=1, 3533=1, 3534=1, 3535=1, 3536=1, 3537=1, 3538=1, 3539=1, 3540=1, 3541=1, 3542=1, 3543=1, 3544=1, 3545=1, 3546=1, 3547=1, 3548=1, 3549=1, 3550=1, 3551=1, 3552=1, 3553=1, 3554=1, 3555=1, 3556=1, 3557=1, 3558=1, 3559=1, 3560=1, 3561=1, 3562=1, 3563=1, 3564=1, 3565=1, 3566=1, 3567=1, 3568=1, 3569=1, 3570=1, 3571=1, 3572=1, 3573=1, 3574=1, 3575=1, 3576=1, 3577=1, 3578=1, 3579=1, 3580=1, 3581=1, 3582=1, 3583=1, 3584=1, 3585=1, 3586=1, 3587=1, 3588=1, 3589=1, 3590=1, 3591=1, 3592=1, 3593=1, 3594=1, 3595=1, 3596=1, 3597=1, 3598=1, 3599=1, 3600=1, 3601=1, 3602=1, 3603=1, 3604=1, 3605=1, 3606=1, 3607=1, 3608=1, 3609=1, 3610=1, 3611=1, 3612=1, 3613=1, 3614=1, 3615=1, 3616=1, 3617=1, 3618=1, 3619=1, 3620=1, 3621=1, 3622=1, 3623=1, 3624=1, 3625=1, 3626=1, 3627=1, 3628=1, 3629=1, 3630=1, 3631=1, 3632=1, 3633=1, 3634=1, 3635=1, 3636=1, 3637=1, 3638=1, 3639=1, 3640=1, 3641=1, 3642=1, 3643=1, 3644=1, 3645=1, 3646=1, 3647=1, 3648=1, 3649=1, 3650=1, 3651=1, 3652=1, 3653=1, 3654=1, 3655=1, 3656=1, 3657=1, 3658=1, 3659=1, 3660=1, 3661=1, 3662=1, 3663=1, 3664=1, 3665=1, 3666=1, 3667=1, 3668=1, 3669=1, 3670=1, 3671=1, 3672=1, 3673=1, 3674=1, 3675=1, 3676=1, 3677=1, 3678=1, 3679=1, 3680=1, 3681=1, 3682=1, 3683=1, 3684=1, 3685=1, 3686=1, 3687=1, 3688=1, 3689=1, 3690=1, 3691=1, 3692=1, 3693=1, 3694=1, 3695=1, 3696=1, 3697=1, 3698=1, 3699=1, 3700=1, 3701=1, 3702=1, 3703=1, 3704=1, 3705=1, 3706=1, 3707=1, 3708=1, 3709=1, 3710=1, 3711=1, 3712=1, 3713=1, 3714=1, 3715=1, 3716=1, 3717=1, 3718=1, 3719=1, 3720=1, 3721=1, 3722=1, 3723=1, 3724=1, 3725=1, 3726=1, 3727=1, 3728=1, 3729=1, 3730=1, 3731=1, 3732=1, 3733=1, 3734=1, 3735=1, 3736=1, 3737=1, 3738=1, 3739=1, 3740=1, 3741=1, 3742=1, 3743=1, 3744=1, 3745=1, 3746=1, 3747=1, 3748=1, 3749=1, 3750=1, 3751=1, 3752=1, 3753=1, 3754=1, 3755=1, 3756=1, 3757=1, 3758=1, 3759=1, 3760=1, 3761=1, 3762=1, 3763=1, 3764=1, 3765=1, 3766=1, 3767=1, 3768=1, 3769=1, 3770=1, 3771=1, 3772=1, 3773=1, 3774=1, 3775=1, 3776=1, 3777=1, 3778=1, 3779=1, 3780=1, 3781=1, 3782=1, 3783=1, 3784=1, 3785=1, 3786=1, 3787=1, 3788=1, 3789=1, 3790=1, 3791=1, 3792=1, 3793=1, 3794=1, 3795=1, 3796=1, 3797=1, 3798=1, 3799=1, 3800=1, 3801=1, 3802=1, 3803=1, 3804=1, 3805=1, 3806=1, 3807=1, 3808=1, 3809=1, 3810=1, 3811=1, 3812=1, 3813=1, 3814=1, 3815=1, 3816=1, 3817=1, 3818=1, 3819=1, 3820=1, 3821=1, 3822=1, 3823=1, 3824=1, 3825=1, 3826=1, 3827=1, 3828=1, 3829=1, 3830=1, 3831=1, 3832=1, 3833=1, 3834=1, 3835=1, 3836=1, 3837=1, 3838=1, 3839=1, 3840=1, 3841=1, 3842=1, 3843=1, 3844=1, 3845=1, 3846=1, 3847=1, 3848=1, 3849=1, 3850=1, 3851=1, 3852=1, 3853=1, 3854=1, 3855=1, 3856=1, 3857=1, 3858=1, 3859=1, 3860=1, 3861=1, 3862=1, 3863=1, 3864=1, 3865=1, 3866=1, 3867=1, 3868=1, 3869=1, 3870=1, 3871=1, 3872=1, 3873=1, 3874=1, 3875=1, 3876=1, 3877=1, 3878=1, 3879=1, 3880=1, 3881=1, 3882=1, 3883=1, 3884=1, 3885=1, 3886=1, 3887=1, 3888=1, 3889=1, 3890=1, 3891=1, 3892=1, 3893=1, 3894=1, 3895=1, 3896=1, 3897=1, 3898=1, 3899=1, 3900=1, 3901=1, 3902=1, 3903=1, 3904=1, 3905=1, 3906=1, 3907=1, 3908=1, 3909=1, 3910=1, 3911=1, 3912=1, 3913=1, 3914=1, 3915=1, 3916=1, 3917=1, 3918=1, 3919=1, 3920=1, 3921=1, 3922=1, 3923=1, 3924=1, 3925=1, 3926=1, 3927=1, 3928=1, 3929=1, 3930=1, 3931=1, 3932=1, 3933=1, 3934=1, 3935=1, 3936=1, 3937=1, 3938=1, 3939=1, 3940=1, 3941=1, 3942=1, 3943=1, 3944=1, 3945=1, 3946=1, 3947=1, 3948=1, 3949=1, 3950=1, 3951=1, 3952=1, 3953=1, 3954=1, 3955=1, 3956=1, 3957=1, 3958=1, 3959=1, 3960=1, 3961=1, 3962=1, 3963=1, 3964=1, 3965=1, 3966=1, 3967=1, 3968=1, 3969=1, 3970=1, 3971=1, 3972=1, 3973=1, 3974=1, 3975=1, 3976=1, 3977=1, 3978=1, 3979=1, 3980=1, 3981=1, 3982=1, 3983=1, 3984=1, 3985=1, 3986=1, 3987=1, 3988=1, 3989=1, 3990=1, 3991=1, 3992=1, 3993=1, 3994=1, 3995=1, 3996=1, 3997=1, 3998=1, 3999=1, 4000=1, 4001=1, 4002=1, 4003=1, 4004=1, 4005=1, 4006=1, 4007=1, 4008=1, 4009=1, 4010=1, 4011=1, 4012=1, 4013=1, 4014=1, 4015=1, 4016=1, 4017=1, 4018=1, 4019=1, 4020=1, 4021=1, 4022=1, 4023=1, 4024=1, 4025=1, 4026=1, 4027=1, 4028=1, 4029=1, 4030=1, 4031=1, 4032=1, 4033=1, 4034=1, 4035=1, 4036=1, 4037=1, 4038=1, 4039=1, 4040=1, 4041=1, 4042=1, 4043=1, 4044=1, 4045=1, 4046=1, 4047=1, 4048=1, 4049=1, 4050=1, 4051=1, 4052=1, 4053=1, 4054=1, 4055=1, 4056=1, 4057=1, 4058=1, 4059=1, 4060=1, 4061=1, 4062=1, 4063=1, 4064=1, 4065=1, 4066=1, 4067=1, 4068=1, 4069=1, 4070=1, 4071=1, 4072=1, 4073=1, 4074=1, 4075=1, 4076=1, 4077=1, 4078=1, 4079=1, 4080=1, 4081=1, 4082=1, 4083=1, 4084=1, 4085=1, 4086=1, 4087=1, 4088=1, 4089=1, 4090=1, 4091=1, 4092=1, 4093=1, 4094=1, 4095=1, 4096=1, 4097=1, 4098=1, 4099=1, 4100=1, 4101=1, 4102=1, 4103=1, 4104=1, 4105=1, 4106=1, 4107=1, 4108=1, 4109=1, 4110=1, 4111=1, 4112=1, 4113=1, 4114=1, 4115=1, 4116=1, 4117=1, 4118=1, 4119=1, 4120=1, 4121=1, 4122=1, 4123=1, 4124=1, 4125=1, 4126=1, 4127=1, 4128=1, 4129=1, 4130=1, 4131=1, 4132=1, 4133=1, 4134=1, 4135=1, 4136=1, 4137=1, 4138=1, 4139=1, 4140=1, 4141=1, 4142=1, 4143=1, 4144=1, 4145=1, 4146=1, 4147=1, 4148=1, 4149=1, 4150=1, 4151=1, 4152=1, 4153=1, 4154=1, 4155=1, 4156=1, 4157=1, 4158=1, 4159=1, 4160=1, 4161=1, 4162=1, 4163=1, 4164=1, 4165=1, 4166=1, 4167=1, 4168=1, 4169=1, 4170=1, 4171=1, 4172=1, 4173=1, 4174=1, 4175=1, 4176=1, 4177=1, 4178=1, 4179=1, 4180=1, 4181=1, 4182=1, 4183=1, 4184=1, 4185=1, 4186=1, 4187=1, 4188=1, 4189=1, 4190=1, 4191=1, 4192=1, 4193=1, 4194=1, 4195=1, 4196=1, 4197=1, 4198=1, 4199=1, 4200=1, 4201=1, 4202=1, 4203=1, 4204=1, 4205=1, 4206=1, 4207=1, 4208=1, 4209=1, 4210=1, 4211=1, 4212=1, 4213=1, 4214=1, 4215=1, 4216=1, 4217=1, 4218=1, 4219=1, 4220=1, 4221=1, 4222=1, 4223=1, 4224=1, 4225=1, 4226=1, 4227=1, 4228=1, 4229=1, 4230=1, 4231=1, 4232=1, 4233=1, 4234=1, 4235=1, 4236=1, 4237=1, 4238=1, 4239=1, 4240=1, 4241=1, 4242=1, 4243=1, 4244=1, 4245=1, 4246=1, 4247=1, 4248=1, 4249=1, 4250=1, 4251=1, 4252=1, 4253=1, 4254=1, 4255=1, 4256=1, 4257=1, 4258=1, 4259=1, 4260=1, 4261=1, 4262=1, 4263=1, 4264=1, 4265=1, 4266=1, 4267=1, 4268=1, 4269=1, 4270=1, 4271=1, 4272=1, 4273=1, 4274=1, 4275=1, 4276=1, 4277=1, 4278=1, 4279=1, 4280=1, 4281=1, 4282=1, 4283=1, 4284=1, 4285=1, 4286=1, 4287=1, 4288=1, 4289=1, 4290=1, 4291=1, 4292=1, 4293=1, 4294=1, 4295=1, 4296=1, 4297=1, 4298=1, 4299=1, 4300=1, 4301=1, 4302=1, 4303=1, 4304=1, 4305=1, 4306=1, 4307=1, 4308=1, 4309=1, 4310=1, 4311=1, 4312=1, 4313=1, 4314=1, 4315=1, 4316=1, 4317=1, 4318=1, 4319=1, 4320=1, 4321=1, 4322=1, 4323=1, 4324=1, 4325=1, 4326=1, 4327=1, 4328=1, 4329=1, 4330=1, 4331=1, 4332=1, 4333=1, 4334=1, 4335=1, 4336=1, 4337=1, 4338=1, 4339=1, 4340=1, 4341=1, 4342=1, 4343=1, 4344=1, 4345=1, 4346=1, 4347=1, 4348=1, 4349=1, 4350=1, 4351=1, 4352=1, 4353=1, 4354=1, 4355=1, 4356=1, 4357=1, 4358=1, 4359=1, 4360=1, 4361=1, 4362=1, 4363=1, 4364=1, 4365=1, 4366=1, 4367=1, 4368=1, 4369=1, 4370=1, 4371=1, 4372=1, 4373=1, 4374=1, 4375=1, 4376=1, 4377=1, 4378=1, 4379=1, 4380=1, 4381=1, 4382=1, 4383=1, 4384=1, 4385=1, 4386=1, 4387=1, 4388=1, 4389=1, 4390=1, 4391=1, 4392=1, 4393=1, 4394=1, 4395=1, 4396=1, 4397=1, 4398=1, 4399=1, 4400=1, 4401=1, 4402=1, 4403=1, 4404=1, 4405=1, 4406=1, 4407=1, 4408=1, 4409=1, 4410=1, 4411=1, 4412=1, 4413=1, 4414=1, 4415=1, 4416=1, 4417=1, 4418=1, 4419=1, 4420=1, 4421=1, 4422=1, 4423=1, 4424=1, 4425=1, 4426=1, 4427=1, 4428=1, 4429=1, 4430=1, 4431=1, 4432=1, 4433=1, 4434=1, 4435=1, 4436=1, 4437=1, 4438=1, 4439=1, 4440=1, 4441=1, 4442=1, 4443=1, 4444=1, 4445=1, 4446=1, 4447=1, 4448=1, 4449=1, 4450=1, 4451=1, 4452=1, 4453=1, 4454=1, 4455=1, 4456=1, 4457=1, 4458=1, 4459=1, 4460=1, 4461=1, 4462=1, 4463=1, 4464=1, 4465=1, 4466=1, 4467=1, 4468=1, 4469=1, 4470=1, 4471=1, 4472=1, 4473=1, 4474=1, 4475=1, 4476=1, 4477=1, 4478=1, 4479=1, 4480=1, 4481=1, 4482=1, 4483=1, 4484=1, 4485=1, 4486=1, 4487=1, 4488=1, 4489=1, 4490=1, 4491=1, 4492=1, 4493=1, 4494=1, 4495=1, 4496=1, 4497=1, 4498=1, 4499=1, 4500=1, 4501=1, 4502=1, 4503=1, 4504=1, 4505=1, 4506=1, 4507=1, 4508=1, 4509=1, 4510=1, 4511=1, 4512=1, 4513=1, 4514=1, 4515=1, 4516=1, 4517=1, 4518=1, 4519=1, 4520=1, 4521=1, 4522=1, 4523=1, 4524=1, 4525=1, 4526=1, 4527=1, 4528=1, 4529=1, 4530=1, 4531=1, 4532=1, 4533=1, 4534=1, 4535=1, 4536=1, 4537=1, 4538=1, 4539=1, 4540=1, 4541=1, 4542=1, 4543=1, 4544=1, 4545=1, 4546=1, 4547=1, 4548=1, 4549=1, 4550=1, 4551=1, 4552=1, 4553=1, 4554=1, 4555=1, 4556=1, 4557=1, 4558=1, 4559=1, 4560=1, 4561=1, 4562=1, 4563=1, 4564=1, 4565=1, 4566=1, 4567=1, 4568=1, 4569=1, 4570=1, 4571=1, 4572=1, 4573=1, 4574=1, 4575=1, 4576=1, 4577=1, 4578=1, 4579=1, 4580=1, 4581=1, 4582=1, 4583=1, 4584=1, 4585=1, 4586=1, 4587=1, 4588=1, 4589=1, 4590=1, 4591=1, 4592=1, 4593=1, 4594=1, 4595=1, 4596=1, 4597=1, 4598=1, 4599=1, 4600=1, 4601=1, 4602=1, 4603=1, 4604=1, 4605=1, 4606=1, 4607=1, 4608=1, 4609=1, 4610=1, 4611=1, 4612=1, 4613=1, 4614=1, 4615=1, 4616=1, 4617=1, 4618=1, 4619=1, 4620=1, 4621=1, 4622=1, 4623=1, 4624=1, 4625=1, 4626=1, 4627=1, 4628=1, 4629=1, 4630=1, 4631=1, 4632=1, 4633=1, 4634=1, 4635=1, 4636=1, 4637=1, 4638=1, 4639=1, 4640=1, 4641=1, 4642=1, 4643=1, 4644=1, 4645=1, 4646=1, 4647=1, 4648=1, 4649=1, 4650=1, 4651=1, 4652=1, 4653=1, 4654=1, 4655=1, 4656=1, 4657=1, 4658=1, 4659=1, 4660=1, 4661=1, 4662=1, 4663=1, 4664=1, 4665=1, 4666=1, 4667=1, 4668=1, 4669=1, 4670=1, 4671=1, 4672=1, 4673=1, 4674=1, 4675=1, 4676=1, 4677=1, 4678=1, 4679=1, 4680=1, 4681=1, 4682=1, 4683=1, 4684=1, 4685=1, 4686=1, 4687=1, 4688=1, 4689=1, 4690=1, 4691=1, 4692=1, 4693=1, 4694=1, 4695=1, 4696=1, 4697=1, 4698=1, 4699=1, 4700=1, 4701=1, 4702=1, 4703=1, 4704=1, 4705=1, 4706=1, 4707=1, 4708=1, 4709=1, 4710=1, 4711=1, 4712=1, 4713=1, 4714=1, 4715=1, 4716=1, 4717=1, 4718=1, 4719=1, 4720=1, 4721=1, 4722=1, 4723=1, 4724=1, 4725=1, 4726=1, 4727=1, 4728=1, 4729=1, 4730=1, 4731=1, 4732=1, 4733=1, 4734=1, 4735=1, 4736=1, 4737=1, 4738=1, 4739=1, 4740=1, 4741=1, 4742=1, 4743=1, 4744=1, 4745=1, 4746=1, 4747=1, 4748=1, 4749=1, 4750=1, 4751=1, 4752=1, 4753=1, 4754=1, 4755=1, 4756=1, 4757=1, 4758=1, 4759=1, 4760=1, 4761=1, 4762=1, 4763=1, 4764=1, 4765=1, 4766=1, 4767=1, 4768=1, 4769=1, 4770=1, 4771=1, 4772=1, 4773=1, 4774=1, 4775=1, 4776=1, 4777=1, 4778=1, 4779=1, 4780=1, 4781=1, 4782=1, 4783=1, 4784=1, 4785=1, 4786=1, 4787=1, 4788=1, 4789=1, 4790=1, 4791=1, 4792=1, 4793=1, 4794=1, 4795=1, 4796=1, 4797=1, 4798=1, 4799=1, 4800=1, 4801=1, 4802=1, 4803=1, 4804=1, 4805=1, 4806=1, 4807=1, 4808=1, 4809=1, 4810=1, 4811=1, 4812=1, 4813=1, 4814=1, 4815=1, 4816=1, 4817=1, 4818=1, 4819=1, 4820=1, 4821=1, 4822=1, 4823=1, 4824=1, 4825=1, 4826=1, 4827=1, 4828=1, 4829=1, 4830=1, 4831=1, 4832=1, 4833=1, 4834=1, 4835=1, 4836=1, 4837=1, 4838=1, 4839=1, 4840=1, 4841=1, 4842=1, 4843=1, 4844=1, 4845=1, 4846=1, 4847=1, 4848=1, 4849=1, 4850=1, 4851=1, 4852=1, 4853=1, 4854=1, 4855=1, 4856=1, 4857=1, 4858=1, 4859=1, 4860=1, 4861=1, 4862=1, 4863=1, 4864=1, 4865=1, 4866=1, 4867=1, 4868=1, 4869=1, 4870=1, 4871=1, 4872=1, 4873=1, 4874=1, 4875=1, 4876=1, 4877=1, 4878=1, 4879=1, 4880=1, 4881=1, 4882=1, 4883=1, 4884=1, 4885=1, 4886=1, 4887=1, 4888=1, 4889=1, 4890=1, 4891=1, 4892=1, 4893=1, 4894=1, 4895=1, 4896=1, 4897=1, 4898=1, 4899=1, 4900=1, 4901=1, 4902=1, 4903=1, 4904=1, 4905=1, 4906=1, 4907=1, 4908=1, 4909=1, 4910=1, 4911=1, 4912=1, 4913=1, 4914=1, 4915=1, 4916=1, 4917=1, 4918=1, 4919=1, 4920=1, 4921=1, 4922=1, 4923=1, 4924=1, 4925=1, 4926=1, 4927=1, 4928=1, 4929=1, 4930=1, 4931=1, 4932=1, 4933=1, 4934=1, 4935=1, 4936=1, 4937=1, 4938=1, 4939=1, 4940=1, 4941=1, 4942=1, 4943=1, 4944=1, 4945=1, 4946=1, 4947=1, 4948=1, 4949=1, 4950=1, 4951=1, 4952=1, 4953=1, 4954=1, 4955=1, 4956=1, 4957=1, 4958=1, 4959=1, 4960=1, 4961=1, 4962=1, 4963=1, 4964=1, 4965=1, 4966=1, 4967=1, 4968=1, 4969=1, 4970=1, 4971=1, 4972=1, 4973=1, 4974=1, 4975=1, 4976=1, 4977=1, 4978=1, 4979=1, 4980=1, 4981=1, 4982=1, 4983=1, 4984=1, 4985=1, 4986=1, 4987=1, 4988=1, 4989=1, 4990=1, 4991=1, 4992=1, 4993=1, 4994=1, 4995=1, 4996=1, 4997=1, 4998=1, 4999=1, 5000=1, 5001=1, 5002=1, 5003=1, 5004=1, 5005=1, 5006=1, 5007=1, 5008=1, 5009=1, 5010=1, 5011=1, 5012=1, 5013=1, 5014=1, 5015=1, 5016=1, 5017=1, 5018=1, 5019=1, 5020=1, 5021=1, 5022=1, 5023=1, 5024=1, 5025=1, 5026=1, 5027=1, 5028=1, 5029=1, 5030=1, 5031=1, 5032=1, 5033=1, 5034=1, 5035=1, 5036=1, 5037=1, 5038=1, 5039=1, 5040=1, 5041=1, 5042=1, 5043=1, 5044=1, 5045=1, 5046=1, 5047=1, 5048=1, 5049=1, 5050=1, 5051=1, 5052=1, 5053=1, 5054=1, 5055=1, 5056=1, 5057=1, 5058=1, 5059=1, 5060=1, 5061=1, 5062=1, 5063=1, 5064=1, 5065=1, 5066=1, 5067=1, 5068=1, 5069=1, 5070=1, 5071=1, 5072=1, 5073=1, 5074=1, 5075=1, 5076=1, 5077=1, 5078=1, 5079=1, 5080=1, 5081=1, 5082=1, 5083=1, 5084=1, 5085=1, 5086=1, 5087=1, 5088=1, 5089=1, 5090=1, 5091=1, 5092=1, 5093=1, 5094=1, 5095=1, 5096=1, 5097=1, 5098=1, 5099=1, 5100=1, 5101=1, 5102=1, 5103=1, 5104=1, 5105=1, 5106=1, 5107=1, 5108=1, 5109=1, 5110=1, 5111=1, 5112=1, 5113=1, 5114=1, 5115=1, 5116=1, 5117=1, 5118=1, 5119=1, 5120=1, 5121=1, 5122=1, 5123=1, 5124=1, 5125=1, 5126=1, 5127=1, 5128=1, 5129=1, 5130=1, 5131=1, 5132=1, 5133=1, 5134=1, 5135=1, 5136=1, 5137=1, 5138=1, 5139=1, 5140=1, 5141=1, 5142=1, 5143=1, 5144=1, 5145=1, 5146=1, 5147=1, 5148=1, 5149=1, 5150=1, 5151=1, 5152=1, 5153=1, 5154=1, 5155=1, 5156=1, 5157=1, 5158=1, 5159=1, 5160=1, 5161=1, 5162=1, 5163=1, 5164=1, 5165=1, 5166=1, 5167=1, 5168=1, 5169=1, 5170=1, 5171=1, 5172=1, 5173=1, 5174=1, 5175=1, 5176=1, 5177=1, 5178=1, 5179=1, 5180=1, 5181=1, 5182=1, 5183=1, 5184=1, 5185=1, 5186=1, 5187=1, 5188=1, 5189=1, 5190=1, 5191=1, 5192=1, 5193=1, 5194=1, 5195=1, 5196=1, 5197=1, 5198=1, 5199=1, 5200=1, 5201=1, 5202=1, 5203=1, 5204=1, 5205=1, 5206=1, 5207=1, 5208=1, 5209=1, 5210=1, 5211=1, 5212=1, 5213=1, 5214=1, 5215=1, 5216=1, 5217=1, 5218=1, 5219=1, 5220=1, 5221=1, 5222=1, 5223=1, 5224=1, 5225=1, 5226=1, 5227=1, 5228=1, 5229=1, 5230=1, 5231=1, 5232=1, 5233=1, 5234=1, 5235=1, 5236=1, 5237=1, 5238=1, 5239=1, 5240=1, 5241=1, 5242=1, 5243=1, 5244=1, 5245=1, 5246=1, 5247=1, 5248=1, 5249=1, 5250=1, 5251=1, 5252=1, 5253=1, 5254=1, 5255=1, 5256=1, 5257=1, 5258=1, 5259=1, 5260=1, 5261=1, 5262=1, 5263=1, 5264=1, 5265=1, 5266=1, 5267=1, 5268=1, 5269=1, 5270=1, 5271=1, 5272=1, 5273=1, 5274=1, 5275=1, 5276=1, 5277=1, 5278=1, 5279=1, 5280=1, 5281=1, 5282=1, 5283=1, 5284=1, 5285=1, 5286=1, 5287=1, 5288=1, 5289=1, 5290=1, 5291=1, 5292=1, 5293=1, 5294=1, 5295=1, 5296=1, 5297=1, 5298=1, 5299=1, 5300=1, 5301=1, 5302=1, 5303=1, 5304=1, 5305=1, 5306=1, 5307=1, 5308=1, 5309=1, 5310=1, 5311=1, 5312=1, 5313=1, 5314=1, 5315=1, 5316=1, 5317=1, 5318=1, 5319=1, 5320=1, 5321=1, 5322=1, 5323=1, 5324=1, 5325=1, 5326=1, 5327=1, 5328=1, 5329=1, 5330=1, 5331=1, 5332=1, 5333=1, 5334=1, 5335=1, 5336=1, 5337=1, 5338=1, 5339=1, 5340=1, 5341=1, 5342=1, 5343=1, 5344=1, 5345=1, 5346=1, 5347=1, 5348=1, 5349=1, 5350=1, 5351=1, 5352=1, 5353=1, 5354=1, 5355=1, 5356=1, 5357=1, 5358=1, 5359=1, 5360=1, 5361=1, 5362=1, 5363=1, 5364=1, 5365=1, 5366=1, 5367=1, 5368=1, 5369=1, 5370=1, 5371=1, 5372=1, 5373=1, 5374=1, 5375=1, 5376=1, 5377=1, 5378=1, 5379=1, 5380=1, 5381=1, 5382=1, 5383=1, 5384=1, 5385=1, 5386=1, 5387=1, 5388=1, 5389=1, 5390=1, 5391=1, 5392=1, 5393=1, 5394=1, 5395=1, 5396=1, 5397=1, 5398=1, 5399=1, 5400=1, 5401=1, 5402=1, 5403=1, 5404=1, 5405=1, 5406=1, 5407=1, 5408=1, 5409=1, 5410=1, 5411=1, 5412=1, 5413=1, 5414=1, 5415=1, 5416=1, 5417=1, 5418=1, 5419=1, 5420=1, 5421=1, 5422=1, 5423=1, 5424=1, 5425=1, 5426=1, 5427=1, 5428=1, 5429=1, 5430=1, 5431=1, 5432=1, 5433=1, 5434=1, 5435=1, 5436=1, 5437=1, 5438=1, 5439=1, 5440=1, 5441=1, 5442=1, 5443=1, 5444=1, 5445=1, 5446=1, 5447=1, 5448=1, 5449=1, 5450=1, 5451=1, 5452=1, 5453=1, 5454=1, 5455=1, 5456=1, 5457=1, 5458=1, 5459=1, 5460=1, 5461=1, 5462=1, 5463=1, 5464=1, 5465=1, 5466=1, 5467=1, 5468=1, 5469=1, 5470=1, 5471=1, 5472=1, 5473=1, 5474=1, 5475=1, 5476=1, 5477=1, 5478=1, 5479=1, 5480=1, 5481=1, 5482=1, 5483=1, 5484=1, 5485=1, 5486=1, 5487=1, 5488=1, 5489=1, 5490=1, 5491=1, 5492=1, 5493=1, 5494=1, 5495=1, 5496=1, 5497=1, 5498=1, 5499=1, 5500=1, 5501=1, 5502=1, 5503=1, 5504=1, 5505=1, 5506=1, 5507=1, 5508=1, 5509=1, 5510=1, 5511=1, 5512=1, 5513=1, 5514=1, 5515=1, 5516=1, 5517=1, 5518=1, 5519=1, 5520=1, 5521=1, 5522=1, 5523=1, 5524=1, 5525=1, 5526=1, 5527=1, 5528=1, 5529=1, 5530=1, 5531=1, 5532=1, 5533=1, 5534=1, 5535=1, 5536=1, 5537=1, 5538=1, 5539=1, 5540=1, 5541=1, 5542=1, 5543=1, 5544=1, 5545=1, 5546=1, 5547=1, 5548=1, 5549=1, 5550=1, 5551=1, 5552=1, 5553=1, 5554=1, 5555=1, 5556=1, 5557=1, 5558=1, 5559=1, 5560=1, 5561=1, 5562=1, 5563=1, 5564=1, 5565=1, 5566=1, 5567=1, 5568=1, 5569=1, 5570=1, 5571=1, 5572=1, 5573=1, 5574=1, 5575=1, 5576=1, 5577=1, 5578=1, 5579=1, 5580=1, 5581=1, 5582=1, 5583=1, 5584=1, 5585=1, 5586=1, 5587=1, 5588=1, 5589=1, 5590=1, 5591=1, 5592=1, 5593=1, 5594=1, 5595=1, 5596=1, 5597=1, 5598=1, 5599=1, 5600=1, 5601=1, 5602=1, 5603=1, 5604=1, 5605=1, 5606=1, 5607=1, 5608=1, 5609=1, 5610=1, 5611=1, 5612=1, 5613=1, 5614=1, 5615=1, 5616=1, 5617=1, 5618=1, 5619=1, 5620=1, 5621=1, 5622=1, 5623=1, 5624=1, 5625=1, 5626=1, 5627=1, 5628=1, 5629=1, 5630=1, 5631=1, 5632=1, 5633=1, 5634=1, 5635=1, 5636=1, 5637=1, 5638=1, 5639=1, 5640=1, 5641=1, 5642=1, 5643=1, 5644=1, 5645=1, 5646=1, 5647=1, 5648=1, 5649=1, 5650=1, 5651=1, 5652=1, 5653=1, 5654=1, 5655=1, 5656=1, 5657=1, 5658=1, 5659=1, 5660=1, 5661=1, 5662=1, 5663=1, 5664=1, 5665=1, 5666=1, 5667=1, 5668=1, 5669=1, 5670=1, 5671=1, 5672=1, 5673=1, 5674=1, 5675=1, 5676=1, 5677=1, 5678=1, 5679=1, 5680=1, 5681=1, 5682=1, 5683=1, 5684=1, 5685=1, 5686=1, 5687=1, 5688=1, 5689=1, 5690=1, 5691=1, 5692=1, 5693=1, 5694=1, 5695=1, 5696=1, 5697=1, 5698=1, 5699=1, 5700=1, 5701=1, 5702=1, 5703=1, 5704=1, 5705=1, 5706=1, 5707=1, 5708=1, 5709=1, 5710=1, 5711=1, 5712=1, 5713=1, 5714=1, 5715=1, 5716=1, 5717=1, 5718=1, 5719=1, 5720=1, 5721=1, 5722=1, 5723=1, 5724=1, 5725=1, 5726=1, 5727=1, 5728=1, 5729=1, 5730=1, 5731=1, 5732=1, 5733=1, 5734=1, 5735=1, 5736=1, 5737=1, 5738=1, 5739=1, 5740=1, 5741=1, 5742=1, 5743=1, 5744=1, 5745=1, 5746=1, 5747=1, 5748=1, 5749=1, 5750=1, 5751=1, 5752=1, 5753=1, 5754=1, 5755=1, 5756=1, 5757=1, 5758=1, 5759=1, 5760=1, 5761=1, 5762=1, 5763=1, 5764=1, 5765=1, 5766=1, 5767=1, 5768=1, 5769=1, 5770=1, 5771=1, 5772=1, 5773=1, 5774=1, 5775=1, 5776=1, 5777=1, 5778=1, 5779=1, 5780=1, 5781=1, 5782=1, 5783=1, 5784=1, 5785=1, 5786=1, 5787=1, 5788=1, 5789=1, 5790=1, 5791=1, 5792=1, 5793=1, 5794=1, 5795=1, 5796=1, 5797=1, 5798=1, 5799=1, 5800=1, 5801=1, 5802=1, 5803=1, 5804=1, 5805=1, 5806=1, 5807=1, 5808=1, 5809=1, 5810=1, 5811=1, 5812=1, 5813=1, 5814=1, 5815=1, 5816=1, 5817=1, 5818=1, 5819=1, 5820=1, 5821=1, 5822=1, 5823=1, 5824=1, 5825=1, 5826=1, 5827=1, 5828=1, 5829=1, 5830=1, 5831=1, 5832=1, 5833=1, 5834=1, 5835=1, 5836=1, 5837=1, 5838=1, 5839=1, 5840=1, 5841=1, 5842=1, 5843=1, 5844=1, 5845=1, 5846=1, 5847=1, 5848=1, 5849=1, 5850=1, 5851=1, 5852=1, 5853=1, 5854=1, 5855=1, 5856=1, 5857=1, 5858=1, 5859=1, 5860=1, 5861=1, 5862=1, 5863=1, 5864=1, 5865=1, 5866=1, 5867=1, 5868=1, 5869=1, 5870=1, 5871=1, 5872=1, 5873=1, 5874=1, 5875=1, 5876=1, 5877=1, 5878=1, 5879=1, 5880=1, 5881=1, 5882=1, 5883=1, 5884=1, 5885=1, 5886=1, 5887=1, 5888=1, 5889=1, 5890=1, 5891=1, 5892=1, 5893=1, 5894=1, 5895=1, 5896=1, 5897=1, 5898=1, 5899=1, 5900=1, 5901=1, 5902=1, 5903=1, 5904=1, 5905=1, 5906=1, 5907=1, 5908=1, 5909=1, 5910=1, 5911=1, 5912=1, 5913=1, 5914=1, 5915=1, 5916=1, 5917=1, 5918=1, 5919=1, 5920=1, 5921=1, 5922=1, 5923=1, 5924=1, 5925=1, 5926=1, 5927=1, 5928=1, 5929=1, 5930=1, 5931=1, 5932=1, 5933=1, 5934=1, 5935=1, 5936=1, 5937=1, 5938=1, 5939=1, 5940=1, 5941=1, 5942=1, 5943=1, 5944=1, 5945=1, 5946=1, 5947=1, 5948=1, 5949=1, 5950=1, 5951=1, 5952=1, 5953=1, 5954=1, 5955=1, 5956=1, 5957=1, 5958=1, 5959=1, 5960=1, 5961=1, 5962=1, 5963=1, 5964=1, 5965=1, 5966=1, 5967=1, 5968=1, 5969=1, 5970=1, 5971=1, 5972=1, 5973=1, 5974=1, 5975=1, 5976=1, 5977=1, 5978=1, 5979=1, 5980=1, 5981=1, 5982=1, 5983=1, 5984=1, 5985=1, 5986=1, 5987=1, 5988=1, 5989=1, 5990=1, 5991=1, 5992=1, 5993=1, 5994=1, 5995=1, 5996=1, 5997=1, 5998=1, 5999=1, 6000=1, 6001=1, 6002=1, 6003=1, 6004=1, 6005=1, 6006=1, 6007=1, 6008=1, 6009=1, 6010=1, 6011=1, 6012=1, 6013=1, 6014=1, 6015=1, 6016=1, 6017=1, 6018=1, 6019=1, 6020=1, 6021=1, 6022=1, 6023=1, 6024=1, 6025=1, 6026=1, 6027=1, 6028=1, 6029=1, 6030=1, 6031=1, 6032=1, 6033=1, 6034=1, 6035=1, 6036=1, 6037=1, 6038=1, 6039=1, 6040=1, 6041=1, 6042=1, 6043=1, 6044=1, 6045=1, 6046=1, 6047=1}
Interrupted Best-First random walk after 62575 steps, including 1 resets, run timeout after 5033 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 62305 steps, including 1 resets, run timeout after 5040 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 64025 steps, including 1 resets, run timeout after 5020 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 64013 steps, including 1 resets, run timeout after 5011 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 61406 steps, including 1 resets, run timeout after 5016 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 64665 steps, including 1 resets, run timeout after 5030 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 61522 steps, including 1 resets, run timeout after 5009 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 62394 steps, including 1 resets, run timeout after 5010 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 62512 steps, including 1 resets, run timeout after 5023 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 63721 steps, including 1 resets, run timeout after 5010 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 63034 steps, including 1 resets, run timeout after 5003 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 62752 steps, including 1 resets, run timeout after 5005 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 61468 steps, including 1 resets, run timeout after 5002 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 62012 steps, including 1 resets, run timeout after 5032 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 60849 steps, including 1 resets, run timeout after 5019 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 61755 steps, including 1 resets, run timeout after 5026 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 61732 steps, including 1 resets, run timeout after 5018 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 62339 steps, including 1 resets, run timeout after 5038 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 61770 steps, including 1 resets, run timeout after 5032 ms. (steps per millisecond=12 ) properties seen :{}
Interrupted Best-First random walk after 61018 steps, including 1 resets, run timeout after 5010 ms. (steps per millisecond=12 ) properties seen :{}
Running SMT prover for 20 properties.
// Phase 1: matrix 7560 rows 6388 cols
[2021-05-18 23:26:11] [INFO ] Computed 340 place invariants in 957 ms
[2021-05-18 23:26:16] [INFO ] [Real]Absence check using 0 positive and 340 generalized place invariants in 363 ms returned sat
[2021-05-18 23:26:19] [INFO ] SMT Verify possible in real domain returnedunsat :0 sat :0 real:20
[2021-05-18 23:26:24] [INFO ] [Nat]Absence check using 0 positive and 340 generalized place invariants in 480 ms returned sat
[2021-05-18 23:26:27] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2021-05-18 23:29:37] [INFO ] SMT Verify possible in nat domain returned unsat :0 sat :0
Fused 20 Parikh solutions to 1 different solutions.
Support contains 20 out of 6388 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 6388/6388 places, 7560/7560 transitions.
Graph (complete) has 3024 edges and 6388 vertex of which 38 are kept as prefixes of interest. Removing 6350 places using SCC suffix rule.4 ms
Discarding 6350 places :
Also discarding 7490 output transitions
Drop transitions removed 7490 transitions
Drop transitions removed 32 transitions
Reduce isomorphic transitions removed 32 transitions.
Drop transitions removed 5 transitions
Trivial Post-agglo rules discarded 5 transitions
Performed 5 trivial Post agglomeration. Transition count delta: 5
Iterating post reduction 0 with 37 rules applied. Total rules applied 38 place count 38 transition count 33
Reduce places removed 5 places and 0 transitions.
Iterating post reduction 1 with 5 rules applied. Total rules applied 43 place count 33 transition count 33
Performed 5 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 2 with 5 Pre rules applied. Total rules applied 43 place count 33 transition count 28
Deduced a syphon composed of 5 places in 0 ms
Reduce places removed 5 places and 0 transitions.
Iterating global reduction 2 with 10 rules applied. Total rules applied 53 place count 28 transition count 28
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Deduced a syphon composed of 2 places in 0 ms
Reduce places removed 2 places and 0 transitions.
Iterating global reduction 2 with 4 rules applied. Total rules applied 57 place count 26 transition count 26
Reduce places removed 1 places and 1 transitions.
Iterating global reduction 2 with 1 rules applied. Total rules applied 58 place count 25 transition count 25
Applied a total of 58 rules in 60 ms. Remains 25 /6388 variables (removed 6363) and now considering 25/7560 (removed 7535) transitions.
Finished structural reductions, in 1 iterations. Remains : 25/6388 places, 25/7560 transitions.
[2021-05-18 23:29:37] [INFO ] Flatten gal took : 2 ms
[2021-05-18 23:29:37] [INFO ] Flatten gal took : 2 ms
[2021-05-18 23:29:37] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality16442159359108902485.gal : 1 ms
[2021-05-18 23:29:37] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality9331612486894657622.prop : 1 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality16442159359108902485.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality9331612486894657622.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-reach command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality16442159359108902485.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality9331612486894657622.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality9331612486894657622.prop.
Reachability property qltransition_4032 is true.
Reachability property qltransition_4030 is true.
Reachability property qltransition_4027 is true.
Reachability property qltransition_4026 is true.
SDD proceeding with computation,16 properties remain. new max is 2
SDD size :1 after 7
Reachability property qltransition_4126 is true.
Reachability property qltransition_4125 is true.
Reachability property qltransition_4121 is true.
Reachability property qltransition_4120 is true.
SDD proceeding with computation,12 properties remain. new max is 2
SDD size :7 after 49
Reachability property qltransition_4006 is true.
Reachability property qltransition_4005 is true.
Reachability property qltransition_4001 is true.
Reachability property qltransition_4000 is true.
SDD proceeding with computation,8 properties remain. new max is 2
SDD size :49 after 196
SDD proceeding with computation,8 properties remain. new max is 4
SDD size :196 after 343
Reachability property qltransition_2774 is true.
Reachability property qltransition_2773 is true.
Reachability property qltransition_2769 is true.
Reachability property qltransition_2768 is true.
SDD proceeding with computation,4 properties remain. new max is 4
SDD size :343 after 2401
Reachability property qltransition_4158 is true.
Reachability property qltransition_4157 is true.
Reachability property qltransition_4153 is true.
Reachability property qltransition_4152 is true.
Found states matching all0 target predicate
Will report total states built up to this point. Computation was interrupted after 5 fixpoint passes
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
petri\_inst\_inst,16807,0.01242,4268,2,56,30,512,6,0,113,196,0
Total reachable state count : 16807

Verifying 20 reachability properties.
Reachability property qltransition_2768 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_2768,343,0.01282,4268,2,44,30,512,7,0,119,196,0
Reachability property qltransition_2769 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_2769,343,0.01311,4268,2,44,30,512,8,0,122,196,0
Reachability property qltransition_2773 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_2773,686,0.013376,4268,2,45,30,512,9,0,125,196,0
Reachability property qltransition_2774 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_2774,343,0.01363,4268,2,44,30,512,10,0,126,196,0
Reachability property qltransition_4000 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4000,49,0.013896,4268,2,38,30,512,11,0,131,196,0
Reachability property qltransition_4001 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4001,49,0.014163,4268,2,38,30,512,12,0,134,196,0
Reachability property qltransition_4005 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4005,98,0.014489,4268,2,39,30,512,13,0,137,196,0
Reachability property qltransition_4006 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4006,49,0.014778,4268,2,38,30,512,14,0,138,196,0
Reachability property qltransition_4026 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4026,1,0.015086,4268,2,26,30,512,15,0,143,196,0
Reachability property qltransition_4027 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4027,1,0.01536,4268,2,26,30,512,16,0,146,196,0
Reachability property qltransition_4030 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4030,2,0.015673,4268,2,27,30,512,17,0,149,196,0
Reachability property qltransition_4032 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4032,1,0.01594,4268,2,26,30,512,18,0,150,196,0
Reachability property qltransition_4120 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4120,7,0.016209,4268,2,32,30,512,19,0,155,196,0
Reachability property qltransition_4121 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4121,7,0.016498,4268,2,32,30,512,20,0,158,196,0
Reachability property qltransition_4125 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4125,7,0.016794,4268,2,32,30,512,21,0,161,196,0
Reachability property qltransition_4126 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4126,7,0.017139,4268,2,32,30,512,22,0,162,196,0
Reachability property qltransition_4152 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4152,2401,0.017424,4268,2,50,30,512,23,0,167,196,0
Reachability property qltransition_4153 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4153,2401,0.017709,4268,2,50,30,512,24,0,170,196,0
Reachability property qltransition_4157 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4157,4802,0.018003,4268,2,51,30,512,25,0,173,196,0
Reachability property qltransition_4158 is true.

Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
qltransition\_4158,2401,0.018374,4268,2,50,30,512,26,0,174,196,0
Able to resolve query QuasiLiveness after proving 8189 properties.
FORMULA QuasiLiveness TRUE TECHNIQUES RANDOM_WALK DECISION_DIAGRAMS COLLATERAL_PROCESSING TOPOLOGICAL INITIAL_STATE

BK_STOP 1621380578747

--------------------
content from stderr:

+ export BINDIR=/home/mcc/BenchKit/bin//../
+ BINDIR=/home/mcc/BenchKit/bin//../
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ QuasiLiveness = StateSpace ]]
+ /home/mcc/BenchKit/bin//..//runeclipse.sh /home/mcc/execution QuasiLiveness -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//..//greatspn/ -order META -manyOrder -smt -timeout 1800
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
++ cut -d . -f 9
++ ls /home/mcc/BenchKit/bin//..//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202104292328.jar
+ VERSION=0
+ echo 'Running Version 0'
+ /home/mcc/BenchKit/bin//..//itstools/its-tools -data /home/mcc/execution/workspace -pnfolder /home/mcc/execution -examination QuasiLiveness -spotpath /home/mcc/BenchKit/bin//..//ltlfilt -z3path /home/mcc/BenchKit/bin//..//z3/bin/z3 -yices2path /home/mcc/BenchKit/bin//..//yices/bin/yices -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//..//greatspn/ -order META -manyOrder -smt -timeout 1800 -vmargs -Dosgi.locking=none -Declipse.stateSaveDelayInterval=-1 -Dosgi.configuration.area=/tmp/.eclipse -Xss128m -Xms40m -Xmx16000m

Sequence of Actions to be Executed by the VM

This is useful if one wants to reexecute the tool in the VM from the submitted image disk.

set -x
# this is for BenchKit: configuration of major elements for the test
export BK_INPUT="ViralEpidemic-PT-S02D1C1A10"
export BK_EXAMINATION="QuasiLiveness"
export BK_TOOL="itstools"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="1800"
export BK_MEMORY_CONFINEMENT="16384"
export BK_BIN_PATH="/home/mcc/BenchKit/bin/"

# this is specific to your benchmark or test

export BIN_DIR="$HOME/BenchKit/bin"

# remove the execution directoty if it exists (to avoid increse of .vmdk images)
if [ -d execution ] ; then
rm -rf execution
fi

# this is for BenchKit: explicit launching of the test
echo "====================================================================="
echo " Generated by BenchKit 2-4028"
echo " Executing tool itstools"
echo " Input is ViralEpidemic-PT-S02D1C1A10, examination is QuasiLiveness"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r280-smll-162123888100142"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/ViralEpidemic-PT-S02D1C1A10.tgz
mv ViralEpidemic-PT-S02D1C1A10 execution
cd execution
if [ "QuasiLiveness" = "ReachabilityDeadlock" ] || [ "QuasiLiveness" = "UpperBounds" ] || [ "QuasiLiveness" = "QuasiLiveness" ] || [ "QuasiLiveness" = "StableMarking" ] || [ "QuasiLiveness" = "Liveness" ] || [ "QuasiLiveness" = "OneSafe" ] || [ "QuasiLiveness" = "StateSpace" ]; then
rm -f GenericPropertiesVerdict.xml
fi
pwd
ls -lh

echo
echo "--------------------"
echo "content from stdout:"
echo
echo "=== Data for post analysis generated by BenchKit (invocation template)"
echo
if [ "QuasiLiveness" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "QuasiLiveness" != "StateSpace" ] ; then
echo "The expected result is a vector of booleans"
echo BOOL_VECTOR
else
echo "no data necessary for post analysis"
fi
echo
if [ -f "QuasiLiveness.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property QuasiLiveness.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "QuasiLiveness.xml" ] ; then # for cunf (txt files deleted;-)
echo echo "here is the order used to build the result vector(from xml file)"
for x in $(grep '' QuasiLiveness.xml | cut -d '>' -f 2 | cut -d '<' -f 1 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ "QuasiLiveness" = "ReachabilityDeadlock" ] || [ "QuasiLiveness" = "QuasiLiveness" ] || [ "QuasiLiveness" = "StableMarking" ] || [ "QuasiLiveness" = "Liveness" ] || [ "QuasiLiveness" = "OneSafe" ] ; then
echo "FORMULA_NAME QuasiLiveness"
fi
echo
echo "=== Now, execution of the tool begins"
echo
echo -n "BK_START "
date -u +%s%3N
echo
timeout -s 9 $BK_TIME_CONFINEMENT bash -c "/home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n \"BK_STOP \" ; date -u +%s%3N"
if [ $? -eq 137 ] ; then
echo
echo "BK_TIME_CONFINEMENT_REACHED"
fi
echo
echo "--------------------"
echo "content from stderr:"
echo
cat STDERR ;