About the Execution of ITS-Tools for TokenRing-PT-015
| Execution Summary | |||||
| Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
| 6044.876 | 3600000.00 | 3697160.00 | 11883.50 | FFF????????????? | 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.r273-smll-162123879600098.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 TokenRing-PT-015, examination is CTLFireability
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r273-smll-162123879600098
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 31M
-rw-r--r-- 1 mcc users 437K May 5 16:58 CTLCardinality.txt
-rw-r--r-- 1 mcc users 2.2M May 10 09:44 CTLCardinality.xml
-rw-r--r-- 1 mcc users 3.4M May 5 16:58 CTLFireability.txt
-rw-r--r-- 1 mcc users 13M 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 6.6K May 6 14:48 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 137K Mar 28 16:46 LTLCardinality.txt
-rw-r--r-- 1 mcc users 480K Mar 28 16:46 LTLCardinality.xml
-rw-r--r-- 1 mcc users 1.2M Mar 28 16:46 LTLFireability.txt
-rw-r--r-- 1 mcc users 3.5M Mar 28 16:46 LTLFireability.xml
-rw-r--r-- 1 mcc users 100K Mar 27 14:12 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 323K Mar 27 14:12 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 906K Mar 25 20:14 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 2.5M Mar 25 20:14 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 30K Mar 22 08:16 UpperBounds.txt
-rw-r--r-- 1 mcc users 71K Mar 22 08:16 UpperBounds.xml
-rw-r--r-- 1 mcc users 5 May 5 16:52 equiv_col
-rw-r--r-- 1 mcc users 4 May 5 16:52 instance
-rw-r--r-- 1 mcc users 6 May 5 16:52 iscolored
-rw-r--r-- 1 mcc users 2.6M 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
here is the order used to build the result vector(from text file)
FORMULA_NAME TokenRing-PT-015-CTLFireability-00
FORMULA_NAME TokenRing-PT-015-CTLFireability-01
FORMULA_NAME TokenRing-PT-015-CTLFireability-02
FORMULA_NAME TokenRing-PT-015-CTLFireability-03
FORMULA_NAME TokenRing-PT-015-CTLFireability-04
FORMULA_NAME TokenRing-PT-015-CTLFireability-05
FORMULA_NAME TokenRing-PT-015-CTLFireability-06
FORMULA_NAME TokenRing-PT-015-CTLFireability-07
FORMULA_NAME TokenRing-PT-015-CTLFireability-08
FORMULA_NAME TokenRing-PT-015-CTLFireability-09
FORMULA_NAME TokenRing-PT-015-CTLFireability-10
FORMULA_NAME TokenRing-PT-015-CTLFireability-11
FORMULA_NAME TokenRing-PT-015-CTLFireability-12
FORMULA_NAME TokenRing-PT-015-CTLFireability-13
FORMULA_NAME TokenRing-PT-015-CTLFireability-14
FORMULA_NAME TokenRing-PT-015-CTLFireability-15
=== Now, execution of the tool begins
BK_START 1621402344448
Running Version 0
[2021-05-19 05:32:27] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, CTLFireability, -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, 3600]
[2021-05-19 05:32:27] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2021-05-19 05:32:28] [INFO ] Load time of PNML (sax parser for PT used): 441 ms
[2021-05-19 05:32:28] [INFO ] Transformed 256 places.
[2021-05-19 05:32:28] [INFO ] Transformed 3616 transitions.
[2021-05-19 05:32:28] [INFO ] Found NUPN structural information;
[2021-05-19 05:32:28] [INFO ] Parsed PT model containing 256 places and 3616 transitions in 542 ms.
Parsed 16 properties from file /home/mcc/execution/CTLFireability.xml in 475 ms.
Support contains 256 out of 256 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 256/256 places, 3616/3616 transitions.
Applied a total of 0 rules in 50 ms. Remains 256 /256 variables (removed 0) and now considering 3616/3616 (removed 0) transitions.
// Phase 1: matrix 3616 rows 256 cols
[2021-05-19 05:32:46] [INFO ] Computed 16 place invariants in 41 ms
[2021-05-19 05:32:47] [INFO ] Implicit Places using invariants in 371 ms returned []
// Phase 1: matrix 3616 rows 256 cols
[2021-05-19 05:32:47] [INFO ] Computed 16 place invariants in 37 ms
[2021-05-19 05:32:48] [INFO ] State equation strengthened by 3390 read => feed constraints.
[2021-05-19 05:32:48] [INFO ] Implicit Places using invariants and state equation in 1476 ms returned []
Implicit Place search using SMT with State Equation took 1893 ms to find 0 implicit places.
// Phase 1: matrix 3616 rows 256 cols
[2021-05-19 05:32:48] [INFO ] Computed 16 place invariants in 10 ms
[2021-05-19 05:32:51] [INFO ] Dead Transitions using invariants and state equation in 2729 ms returned []
Finished structural reductions, in 1 iterations. Remains : 256/256 places, 3616/3616 transitions.
[2021-05-19 05:32:54] [INFO ] Flatten gal took : 898 ms
[2021-05-19 05:33:03] [INFO ] Flatten gal took : 1339 ms
[2021-05-19 05:33:14] [INFO ] Input system was already deterministic with 3616 transitions.
Interrupted random walk after 19584 steps, including 0 resets, run timeout after 30003 ms. (steps per millisecond=0 ) properties seen :{1=1, 2=1, 3=1, 6=1, 7=1, 8=1, 9=1, 17=1, 19=1, 20=1, 23=1, 24=1, 26=1, 27=1, 29=1, 33=1, 37=1, 39=1, 41=1, 44=1, 53=1, 54=1, 56=1, 58=1, 61=1}
Running SMT prover for 39 properties.
// Phase 1: matrix 3616 rows 256 cols
[2021-05-19 05:33:45] [INFO ] Computed 16 place invariants in 8 ms
[2021-05-19 05:33:51] [INFO ] [Real]Absence check using 16 positive place invariants in 7 ms returned sat
[2021-05-19 05:33:51] [INFO ] SMT Verify possible in real domain returnedunsat :2 sat :0 real:37
[2021-05-19 05:33:52] [INFO ] [Nat]Absence check using 16 positive place invariants in 8 ms returned sat
[2021-05-19 05:33:53] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2021-05-19 05:33:57] [INFO ] [Nat]Absence check using state equation in 4211 ms returned unsat :9 sat :30
[2021-05-19 05:33:57] [INFO ] State equation strengthened by 3390 read => feed constraints.
[2021-05-19 05:33:58] [INFO ] [Nat]Added 3390 Read/Feed constraints in 657 ms returned sat
Attempting to minimize the solution found.
Minimization took 3994 ms.
[2021-05-19 05:34:06] [INFO ] SMT Verify possible in nat domain returned unsat :9 sat :30
Successfully simplified 11 atomic propositions for a total of 16 simplifications.
Applied a total of 0 rules in 340 ms. Remains 256 /256 variables (removed 0) and now considering 3616/3616 (removed 0) transitions.
[2021-05-19 05:34:09] [INFO ] Flatten gal took : 150 ms
[2021-05-19 05:34:10] [INFO ] Flatten gal took : 166 ms
[2021-05-19 05:34:10] [INFO ] Input system was already deterministic with 3616 transitions.
[2021-05-19 05:34:10] [INFO ] Flatten gal took : 182 ms
[2021-05-19 05:34:10] [INFO ] Flatten gal took : 161 ms
[2021-05-19 05:34:10] [INFO ] Time to serialize gal into /tmp/CTLFireability888378410012795722.gal : 55 ms
[2021-05-19 05:34:10] [INFO ] Time to serialize properties into /tmp/CTLFireability7061231515588696136.ctl : 2 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability888378410012795722.gal, -t, CGAL, -ctl, /tmp/CTLFireability7061231515588696136.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability888378410012795722.gal -t CGAL -ctl /tmp/CTLFireability7061231515588696136.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,3.53579e+07,3.88106,99356,2,11476,5,402137,6,0,4643,16339,0
Converting to forward existential form...Done !
Detected timeout of ITS tools.
[2021-05-19 05:34:41] [INFO ] Flatten gal took : 94 ms
[2021-05-19 05:34:41] [INFO ] Applying decomposition
[2021-05-19 05:34:41] [INFO ] Flatten gal took : 99 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/graph4891954126659130897.txt, -o, /tmp/graph4891954126659130897.bin, -w, /tmp/graph4891954126659130897.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/graph4891954126659130897.bin, -l, -1, -v, -w, /tmp/graph4891954126659130897.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-19 05:34:41] [INFO ] Decomposing Gal with order
[2021-05-19 05:34:41] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-19 05:34:42] [INFO ] Removed a total of 8120 redundant transitions.
[2021-05-19 05:34:42] [INFO ] Flatten gal took : 509 ms
[2021-05-19 05:34:42] [INFO ] Fuse similar labels procedure discarded/fused a total of 313 labels/synchronizations in 159 ms.
[2021-05-19 05:34:42] [INFO ] Time to serialize gal into /tmp/CTLFireability8119501162699714555.gal : 28 ms
[2021-05-19 05:34:42] [INFO ] Time to serialize properties into /tmp/CTLFireability1642303538034636015.ctl : 2 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability8119501162699714555.gal, -t, CGAL, -ctl, /tmp/CTLFireability1642303538034636015.ctl], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability8119501162699714555.gal -t CGAL -ctl /tmp/CTLFireability1642303538034636015.ctl
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Detected timeout of ITS tools.
Applied a total of 0 rules in 40 ms. Remains 256 /256 variables (removed 0) and now considering 3616/3616 (removed 0) transitions.
[2021-05-19 05:35:14] [INFO ] Flatten gal took : 189 ms
[2021-05-19 05:35:15] [INFO ] Flatten gal took : 144 ms
[2021-05-19 05:35:15] [INFO ] Input system was already deterministic with 3616 transitions.
[2021-05-19 05:35:15] [INFO ] Flatten gal took : 129 ms
[2021-05-19 05:35:15] [INFO ] Flatten gal took : 133 ms
[2021-05-19 05:35:15] [INFO ] Time to serialize gal into /tmp/CTLFireability6391034476165302041.gal : 19 ms
[2021-05-19 05:35:15] [INFO ] Time to serialize properties into /tmp/CTLFireability10254577673205824457.ctl : 30 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability6391034476165302041.gal, -t, CGAL, -ctl, /tmp/CTLFireability10254577673205824457.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability6391034476165302041.gal -t CGAL -ctl /tmp/CTLFireability10254577673205824457.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,3.53579e+07,4.79448,100272,2,11476,5,402137,6,0,4643,16339,0
Converting to forward existential form...Done !
original formula: !(AG((!(AF((((((((((((((((((State_15_7==1)&&(State_0_7==1))||((State_0_4==1)&&(State_15_4==1)))||((State_15_0==1)&&(State_0_0==1)))||((State_15_12==1)&&(State_0_12==1)))||((State_15_9==1)&&(State_0_9==1)))||((State_0_15==1)&&(State_15_15==1)))||((State_0_14==1)&&(State_15_14==1)))||((State_15_10==1)&&(State_0_10==1)))||((State_15_6==1)&&(State_0_6==1)))||((State_15_13==1)&&(State_0_13==1)))||((State_0_3==1)&&(State_15_3==1)))||((State_0_8==1)&&(State_15_8==1)))||((State_0_11==1)&&(State_15_11==1)))||((State_0_5==1)&&(State_15_5==1)))||((State_0_2==1)&&(State_15_2==1)))||((State_15_1==1)&&(State_0_1==1))))) * !(E(E((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((State_2_3==1)&&(State_3_12==1))||((State_3_14==1)&&(State_4_4==1)))||((State_1_6==1)&&(State_2_5==1)))||((State_4_3==1)&&(State_3_4==1)))||((State_6_5==1)&&(State_7_0==1)))||((State_11_2==1)&&(State_10_4==1)))||((State_13_9==1)&&(State_14_10==1)))||((State_14_6==1)&&(State_13_14==1)))||((State_7_9==1)&&(State_8_0==1)))||((State_14_14==1)&&(State_13_1==1)))||((State_5_3==1)&&(State_6_0==1)))||((State_5_8==1)&&(State_6_12==1)))||((State_11_11==1)&&(State_12_7==1)))||((State_14_8==1)&&(State_15_15==1)))||((State_13_2==1)&&(State_12_14==1)))||((State_7_5==1)&&(State_8_9==1)))||((State_8_10==1)&&(State_7_12==1)))||((State_12_10==1)&&(State_13_6==1)))||((State_14_11==1)&&(State_15_8==1)))||((State_8_1==1)&&(State_9_15==1)))||((State_4_6==1)&&(State_3_15==1)))||((State_8_5==1)&&(State_9_6==1)))||((State_9_13==1)&&(State_10_3==1)))||((State_1_13==1)&&(State_0_7==1)))||((State_4_3==1)&&(State_3_15==1)))||((State_12_7==1)&&(State_11_10==1)))||((State_11_3==1)&&(State_10_14==1)))||((State_3_5==1)&&(State_2_8==1)))||((State_7_2==1)&&(State_6_12==1)))||((State_9_7==1)&&(State_8_5==1)))||((State_15_13==1)&&(State_14_12==1)))||((State_14_1==1)&&(State_15_4==1)))||((State_9_2==1)&&(State_10_11==1)))||((State_4_9==1)&&(State_3_8==1)))||((State_10_14==1)&&(State_11_10==1)))||((State_7_9==1)&&(State_8_3==1)))||((State_7_10==1)&&(State_6_15==1)))||((State_2_2==1)&&(State_1_15==1)))||((State_12_5==1)&&(State_11_11==1)))||((State_12_3==1)&&(State_13_4==1)))||((State_3_4==1)&&(State_4_7==1)))||((State_10_14==1)&&(State_9_3==1)))||((State_3_5==1)&&(State_4_8==1)))||((State_10_10==1)&&(State_11_1==1)))||((State_3_9==1)&&(State_4_14==1)))||((State_11_14==1)&&(State_10_8==1)))||((State_13_8==1)&&(State_14_3==1)))||((State_8_13==1)&&(State_7_1==1)))||((State_3_8==1)&&(State_4_11==1)))||((State_4_6==1)&&(State_3_4==1)))||((State_6_11==1)&&(State_7_12==1)))||((State_1_1==1)&&(State_0_3==1)))||((State_12_8==1)&&(State_13_1==1)))||((State_2_3==1)&&(State_3_13==1)))||((State_3_0==1)&&(State_4_1==1)))||((State_4_3==1)&&(State_5_14==1)))||((State_5_2==1)&&(State_6_3==1)))||((State_0_11==1)&&(State_1_7==1)))||((State_1_5==1)&&(State_2_2==1)))||((State_8_7==1)&&(State_9_13==1)))||((State_10_0==1)&&(State_11_3==1)))||((State_7_14==1)&&(State_8_10==1)))||((State_14_7==1)&&(State_13_13==1)))||((State_5_0==1)&&(State_4_11==1)))||((State_9_1==1)&&(State_8_6==1)))||((State_13_5==1)&&(State_12_13==1)))||((State_7_9==1)&&(State_6_7==1)))||((State_8_10==1)&&(State_7_13==1)))||((State_10_8==1)&&(State_9_4==1)))||((State_5_2==1)&&(State_6_5==1)))||((State_7_11==1)&&(State_8_3==1)))||((State_12_8==1)&&(State_11_9==1)))||((State_1_4==1)&&(State_2_0==1)))||((State_14_1==1)&&(State_13_4==1)))||((State_14_7==1)&&(State_13_15==1)))||((State_1_10==1)&&(State_2_15==1)))||((State_1_6==1)&&(State_0_12==1)))||((State_1_2==1)&&(State_2_1==1)))||((State_10_7==1)&&(State_9_10==1)))||((State_0_10==1)&&(State_1_15==1)))||((State_11_8==1)&&(State_10_6==1)))||((State_6_12==1)&&(State_7_11==1)))||((State_12_15==1)&&(State_11_7==1)))||((State_1_9==1)&&(State_0_3==1)))||((State_1_1==1)&&(State_0_15==1)))||((State_1_12==1)&&(State_2_9==1)))||((State_6_0==1)&&(State_5_14==1)))||((State_2_4==1)&&(State_3_15==1)))||((State_12_1==1)&&(State_11_9==1)))||((State_7_2==1)&&(State_6_8==1)))||((State_5_11==1)&&(State_4_2==1)))||((State_8_13==1)&&(State_7_11==1)))||((State_12_2==1)&&(State_11_0==1)))||((State_3_9==1)&&(State_4_13==1)))||((State_3_3==1)&&(State_2_2==1)))||((State_6_14==1)&&(State_5_10==1)))||((State_10_11==1)&&(State_11_13==1)))||((State_5_10==1)&&(State_4_5==1)))||((State_3_6==1)&&(State_2_9==1)))||((State_10_14==1)&&(State_9_5==1)))||((State_12_0==1)&&(State_11_10==1)))||((State_12_8==1)&&(State_11_2==1)))||((State_9_2==1)&&(State_10_4==1)))||((State_8_1==1)&&(State_9_10==1)))||((State_8_10==1)&&(State_9_6==1)))||((State_11_7==1)&&(State_12_14==1)))||((State_0_11==1)&&(State_1_8==1)))||((State_6_5==1)&&(State_5_6==1)))||((State_12_4==1)&&(State_11_9==1)))||((State_10_9==1)&&(State_9_11==1)))||((State_14_8==1)&&(State_13_3==1)))||((State_2_13==1)&&(State_1_1==1)))||((State_11_15==1)&&(State_10_14==1)))||((State_2_11==1)&&(State_3_5==1)))||((State_15_0==1)&&(State_14_3==1)))||((State_3_1==1)&&(State_4_9==1)))||((State_3_15==1)&&(State_2_3==1)))||((State_2_3==1)&&(State_3_10==1)))||((State_14_8==1)&&(State_13_9==1)))||((State_13_4==1)&&(State_14_3==1)))||((State_2_5==1)&&(State_3_13==1)))||((State_5_2==1)&&(State_4_14==1)))||((State_3_6==1)&&(State_4_10==1)))||((State_8_15==1)&&(State_7_6==1)))||((State_6_2==1)&&(State_7_13==1)))||((State_5_8==1)&&(State_6_3==1)))||((State_12_2==1)&&(State_13_14==1)))||((State_1_5==1)&&(State_0_3==1)))||((State_9_0==1)&&(State_10_3==1)))||((State_2_4==1)&&(State_3_6==1)))||((State_3_7==1)&&(State_4_14==1)))||((State_3_15==1)&&(State_2_9==1)))||((State_6_4==1)&&(State_5_0==1)))||((State_3_6==1)&&(State_2_3==1)))||((State_6_2==1)&&(State_7_5==1)))||((State_12_12==1)&&(State_13_7==1)))||((State_11_11==1)&&(State_12_0==1)))||((State_10_7==1)&&(State_9_12==1)))||((State_15_13==1)&&(State_14_6==1)))||((State_6_4==1)&&(State_5_9==1)))||((State_8_5==1)&&(State_7_0==1)))||((State_2_12==1)&&(State_3_13==1)))||((State_1_2==1)&&(State_2_14==1)))||((State_2_11==1)&&(State_1_15==1)))||((State_14_11==1)&&(State_15_9==1)))||((State_10_7==1)&&(State_11_0==1)))||((State_5_2==1)&&(State_6_15==1)))||((State_9_6==1)&&(State_8_12==1)))||((State_5_3==1)&&(State_6_1==1)))||((State_8_7==1)&&(State_7_8==1)))||((State_13_10==1)&&(State_12_5==1)))||((State_2_0==1)&&(State_3_13==1)))||((State_1_9==1)&&(State_0_15==1)))||((State_5_12==1)&&(State_4_5==1)))||((State_11_12==1)&&(State_12_15==1)))||((State_7_2==1)&&(State_8_9==1)))||((State_2_4==1)&&(State_1_3==1)))||((State_14_4==1)&&(State_15_2==1)))||((State_14_8==1)&&(State_13_6==1)))||((State_15_13==1)&&(State_14_0==1)))||((State_2_10==1)&&(State_3_11==1)))||((State_8_14==1)&&(State_9_4==1)))||((State_0_14==1)&&(State_1_5==1)))||((State_10_4==1)&&(State_9_12==1)))||((State_10_1==1)&&(State_11_0==1)))||((State_2_14==1)&&(State_1_8==1)))||((State_13_11==1)&&(State_12_15==1)))||((State_14_2==1)&&(State_13_1==1)))||((State_6_14==1)&&(State_7_8==1)))||((State_4_7==1)&&(State_5_4==1)))||((State_10_15==1)&&(State_9_6==1)))||((State_12_15==1)&&(State_13_2==1)))||((State_5_4==1)&&(State_6_3==1)))||((State_4_12==1)&&(State_3_3==1)))||((State_13_10==1)&&(State_12_14==1)))||((State_8_0==1)&&(State_9_9==1)))||((State_6_3==1)&&(State_5_1==1)))||((State_6_11==1)&&(State_5_6==1)))||((State_4_8==1)&&(State_5_14==1)))||((State_9_8==1)&&(State_10_5==1)))||((State_14_5==1)&&(State_15_13==1)))||((State_15_6==1)&&(State_14_5==1)))||((State_2_13==1)&&(State_3_8==1)))||((State_3_0==1)&&(State_4_7==1)))||((State_10_1==1)&&(State_9_12==1)))||((State_15_10==1)&&(State_14_9==1)))||((State_9_1==1)&&(State_8_5==1)))||((State_12_15==1)&&(State_11_10==1)))||((State_11_3==1)&&(State_10_10==1)))||((State_2_6==1)&&(State_1_3==1)))||((State_1_13==1)&&(State_0_12==1)))||((State_1_6==1)&&(State_2_8==1)))||((State_4_0==1)&&(State_5_4==1)))||((State_7_10==1)&&(State_8_15==1)))||((State_6_9==1)&&(State_5_14==1)))||((State_11_2==1)&&(State_10_11==1)))||((State_8_4==1)&&(State_9_7==1)))||((State_11_7==1)&&(State_10_1==1)))||((State_13_10==1)&&(State_14_7==1)))||((State_10_6==1)&&(State_11_9==1)))||((State_0_1==1)&&(State_1_5==1)))||((State_2_7==1)&&(State_1_8==1)))||((State_11_10==1)&&(State_10_4==1)))||((State_8_8==1)&&(State_7_3==1)))||((State_7_3==1)&&(State_6_7==1)))||((State_4_0==1)&&(State_3_11==1)))||((State_11_11==1)&&(State_10_8==1)))||((State_14_9==1)&&(State_15_11==1)))||((State_5_5==1)&&(State_6_12==1)))||((State_9_1==1)&&(State_10_8==1)))||((State_13_5==1)&&(State_12_10==1)))||((State_3_4==1)&&(State_2_2==1)))||((State_14_1==1)&&(State_15_13==1)))||((State_2_4==1)&&(State_3_10==1)))||((State_6_4==1)&&(State_7_15==1)))||((State_11_12==1)&&(State_12_8==1)))||((State_3_8==1)&&(State_4_2==1)))||((State_15_10==1)&&(State_14_0==1)))||((State_3_14==1)&&(State_4_11==1)))||((State_13_11==1)&&(State_14_7==1)))||((State_12_8==1)&&(State_13_9==1)))||((State_3_9==1)&&(State_4_10==1)))||((State_4_8==1)&&(State_3_13==1)))||((State_7_10==1)&&(State_6_3==1)))||((State_14_15==1)&&(State_13_12==1)))||((State_13_9==1)&&(State_14_6==1)))||((State_13_15==1)&&(State_14_6==1)))||((State_2_11==1)&&(State_1_0==1)))||((State_14_2==1)&&(State_15_15==1)))||((State_0_14==1)&&(State_1_0==1)))||((State_14_5==1)&&(State_15_3==1)))||((State_3_7==1)&&(State_4_13==1)))||((State_14_13==1)&&(State_15_5==1)))||((State_5_0==1)&&(State_4_2==1)))||((State_7_2==1)&&(State_6_15==1)))||((State_2_6==1)&&(State_1_2==1)))||((State_8_11==1)&&(State_9_9==1)))||((State_9_15==1)&&(State_10_8==1)))||((State_15_12==1)&&(State_14_10==1)))||((State_11_12==1)&&(State_12_2==1)))||((State_1_3==1)&&(State_0_9==1)))||((State_6_2==1)&&(State_7_12==1)))||((State_4_7==1)&&(State_3_11==1)))||((State_4_0==1)&&(State_5_7==1)))||((State_3_1==1)&&(State_4_2==1)))||((State_8_4==1)&&(State_9_5==1)))||((State_11_8==1)&&(State_10_5==1)))||((State_5_2==1)&&(State_4_8==1)))||((State_4_0==1)&&(State_5_11==1)))||((State_14_5==1)&&(State_15_14==1)))||((State_6_13==1)&&(State_5_1==1)))||((State_1_2==1)&&(State_0_7==1)))||((State_1_3==1)&&(State_2_12==1)))||((State_4_15==1)&&(State_5_1==1)))||((State_6_8==1)&&(State_7_6==1)))||((State_2_11==1)&&(State_3_7==1)))||((State_12_8==1)&&(State_13_6==1)))||((State_1_4==1)&&(State_0_1==1)))||((State_9_2==1)&&(State_8_15==1)))||((State_4_15==1)&&(State_5_8==1)))||((State_3_8==1)&&(State_4_4==1)))||((State_6_12==1)&&(State_7_7==1)))||((State_6_10==1)&&(State_5_1==1)))||((State_8_10==1)&&(State_9_13==1)))||((State_7_14==1)&&(State_8_6==1)))||((State_8_1==1)&&(State_9_12==1)))||((State_6_9==1)&&(State_7_3==1)))||((State_0_15==1)&&(State_1_13==1)))||((State_7_12==1)&&(State_8_6==1)))||((State_8_10==1)&&(State_7_8==1)))||((State_7_4==1)&&(State_8_5==1)))||((State_10_10==1)&&(State_11_0==1)))||((State_8_1==1)&&(State_7_4==1)))||((State_2_5==1)&&(State_3_10==1)))||((State_15_10==1)&&(State_14_13==1)))||((State_6_7==1)&&(State_5_6==1)))||((State_1_7==1)&&(State_0_10==1)))||((State_12_4==1)&&(State_13_1==1)))||((State_12_13==1)&&(State_13_14==1)))||((State_9_0==1)&&(State_8_10==1)))||((State_13_12==1)&&(State_12_7==1)))||((State_3_1==1)&&(State_4_4==1)))||((State_12_6==1)&&(State_11_7==1)))||((State_6_6==1)&&(State_7_7==1)))||((State_12_14==1)&&(State_11_5==1)))||((State_15_10==1)&&(State_14_6==1)))||((State_5_5==1)&&(State_6_8==1)))||((State_12_7==1)&&(State_11_5==1)))||((State_11_12==1)&&(State_12_3==1)))||((State_12_11==1)&&(State_11_4==1)))||((State_6_14==1)&&(State_7_5==1)))||((State_7_10==1)&&(State_6_12==1)))||((State_5_4==1)&&(State_4_10==1)))||((State_5_13==1)&&(State_6_10==1)))||((State_6_1==1)&&(State_5_4==1)))||((State_2_4==1)&&(State_3_9==1)))||((State_1_7==1)&&(State_2_15==1)))||((State_7_2==1)&&(State_8_14==1)))||((State_8_12==1)&&(State_7_6==1)))||((State_12_5==1)&&(State_13_4==1)))||((State_11_1==1)&&(State_10_12==1)))||((State_13_8==1)&&(State_12_10==1)))||((State_10_9==1)&&(State_11_13==1)))||((State_5_11==1)&&(State_6_6==1)))||((State_3_0==1)&&(State_2_7==1)))||((State_3_15==1)&&(State_2_12==1)))||((State_5_3==1)&&(State_4_11==1)))||((State_2_7==1)&&(State_3_3==1)))||((State_7_14==1)&&(State_6_2==1)))||((State_7_6==1)&&(State_8_11==1)))||((State_12_6==1)&&(State_11_8==1)))||((State_0_14==1)&&(State_1_15==1)))||((State_1_14==1)&&(State_0_9==1)))||((State_11_3==1)&&(State_12_10==1)))||((State_8_10==1)&&(State_7_5==1)))||((State_5_4==1)&&(State_4_14==1)))||((State_11_6==1)&&(State_12_9==1)))||((State_8_5==1)&&(State_7_12==1)))||((State_3_3==1)&&(State_4_1==1)))||((State_0_1==1)&&(State_1_8==1)))||((State_6_2==1)&&(State_5_6==1)))||((State_9_10==1)&&(State_10_14==1)))||((State_0_8==1)&&(State_1_1==1)))||((State_3_10==1)&&(State_2_1==1)))||((State_12_6==1)&&(State_11_10==1)))||((State_14_0==1)&&(State_13_15==1)))||((State_7_10==1)&&(State_8_14==1)))||((State_5_8==1)&&(State_4_13==1)))||((State_8_4==1)&&(State_7_15==1)))||((State_10_6==1)&&(State_9_2==1)))||((State_14_2==1)&&(State_13_3==1)))||((State_12_9==1)&&(State_11_0==1)))||((State_5_4==1)&&(State_6_15==1)))||((State_11_7==1)&&(State_10_8==1)))||((State_4_12==1)&&(State_5_5==1)))||((State_9_6==1)&&(State_10_1==1)))||((State_11_6==1)&&(State_12_4==1)))||((State_3_0==1)&&(State_2_2==1)))||((State_12_1==1)&&(State_11_6==1)))||((State_2_7==1)&&(State_1_5==1)))||((State_6_11==1)&&(State_7_5==1)))||((State_5_0==1)&&(State_4_4==1)))||((State_13_3==1)&&(State_12_4==1)))||((State_12_15==1)&&(State_13_7==1)))||((State_7_3==1)&&(State_8_12==1)))||((State_11_11==1)&&(State_10_1==1)))||((State_11_15==1)&&(State_12_10==1)))||((State_14_4==1)&&(State_15_12==1)))||((State_3_6==1)&&(State_2_15==1)))||((State_6_12==1)&&(State_7_1==1)))||((State_8_13==1)&&(State_9_11==1)))||((State_8_10==1)&&(State_9_14==1)))||((State_4_15==1)&&(State_3_7==1)))||((State_7_14==1)&&(State_8_5==1)))||((State_0_3==1)&&(State_1_13==1)))||((State_10_15==1)&&(State_9_2==1)))||((State_14_13==1)&&(State_13_4==1)))||((State_6_12==1)&&(State_5_4==1)))||((State_2_13==1)&&(State_3_0==1)))||((State_12_2==1)&&(State_13_7==1)))||((State_3_6==1)&&(State_4_14==1)))||((State_8_10==1)&&(State_9_2==1)))||((State_10_11==1)&&(State_11_4==1)))||((State_7_14==1)&&(State_6_4==1)))||((State_13_13==1)&&(State_14_3==1)))||((State_6_5==1)&&(State_7_13==1)))||((State_10_9==1)&&(State_11_4==1)))||((State_3_7==1)&&(State_4_10==1)))||((State_14_7==1)&&(State_13_8==1)))||((State_5_5==1)&&(State_4_8==1)))||((State_14_14==1)&&(State_13_13==1)))||((State_10_10==1)&&(State_9_12==1)))||((State_14_2==1)&&(State_13_9==1)))||((State_8_1==1)&&(State_7_10==1)))||((State_2_4==1)&&(State_3_12==1)))||((State_6_14==1)&&(State_7_13==1)))||((State_12_9==1)&&(State_13_14==1)))||((State_14_4==1)&&(State_13_14==1)))||((State_13_12==1)&&(State_12_0==1)))||((State_8_15==1)&&(State_9_4==1)))||((State_4_13==1)&&(State_5_11==1)))||((State_4_0==1)&&(State_5_13==1)))||((State_10_12==1)&&(State_9_9==1)))||((State_5_2==1)&&(State_6_8==1)))||((State_14_8==1)&&(State_13_1==1)))||((State_9_7==1)&&(State_10_3==1)))||((State_3_0==1)&&(State_2_6==1)))||((State_10_15==1)&&(State_9_14==1)))||((State_0_1==1)&&(State_1_7==1)))||((State_0_13==1)&&(State_1_8==1)))||((State_13_3==1)&&(State_12_9==1)))||((State_5_4==1)&&(State_4_13==1)))||((State_2_2==1)&&(State_1_0==1)))||((State_0_10==1)&&(State_1_0==1)))||((State_5_8==1)&&(State_6_15==1)))||((State_13_11==1)&&(State_12_14==1)))||((State_12_12==1)&&(State_11_10==1)))||((State_3_4==1)&&(State_2_6==1)))||((State_9_6==1)&&(State_8_0==1)))||((State_14_2==1)&&(State_15_7==1)))||((State_11_6==1)&&(State_12_13==1)))||((State_5_8==1)&&(State_4_14==1)))||((State_9_15==1)&&(State_8_3==1)))||((State_6_11==1)&&(State_7_13==1)))||((State_3_9==1)&&(State_2_15==1)))||((State_12_10==1)&&(State_13_3==1)))||((State_6_1==1)&&(State_7_11==1)))||((State_14_0==1)&&(State_13_8==1)))||((State_3_1==1)&&(State_2_4==1)))||((State_10_7==1)&&(State_9_15==1)))||((State_4_8==1)&&(State_3_10==1)))||((State_12_11==1)&&(State_11_13==1)))||((State_13_10==1)&&(State_12_15==1)))||((State_3_14==1)&&(State_4_2==1)))||((State_10_14==1)&&(State_11_5==1)))||((State_12_10==1)&&(State_13_9==1)))||((State_4_4==1)&&(State_3_2==1)))||((State_14_13==1)&&(State_15_4==1)))||((State_13_3==1)&&(State_12_13==1)))||((State_7_1==1)&&(State_8_6==1)))||((State_11_13==1)&&(State_12_9==1)))||((State_14_0==1)&&(State_13_13==1)))||((State_14_14==1)&&(State_13_8==1)))||((State_7_2==1)&&(State_6_3==1)))||((State_0_11==1)&&(State_1_6==1)))||((State_14_2==1)&&(State_13_6==1)))||((State_8_4==1)&&(State_9_3==1)))||((State_8_7==1)&&(State_7_3==1)))||((State_1_10==1)&&(State_0_11==1)))||((State_6_5==1)&&(State_7_12==1)))||((State_9_7==1)&&(State_10_0==1)))||((State_11_11==1)&&(State_12_14==1)))||((State_4_6==1)&&(State_5_5==1)))||((State_5_2==1)&&(State_6_12==1)))||((State_11_7==1)&&(State_12_0==1)))||((State_7_10==1)&&(State_8_2==1)))||((State_3_6==1)&&(State_4_13==1)))||((State_15_10==1)&&(State_14_12==1)))||((State_4_13==1)&&(State_5_7==1)))||((State_12_8==1)&&(State_13_3==1)))||((State_11_14==1)&&(State_12_4==1)))||((State_11_8==1)&&(State_10_12==1)))||((State_1_5==1)&&(State_2_6==1)))||((State_8_14==1)&&(State_9_3==1)))||((State_12_10==1)&&(State_13_4==1)))||((State_15_5==1)&&(State_14_9==1)))||((State_12_6==1)&&(State_11_1==1)))||((State_4_7==1)&&(State_5_13==1)))||((State_9_1==1)&&(State_10_3==1)))||((State_13_2==1)&&(State_12_6==1)))||((State_15_6==1)&&(State_14_12==1)))||((State_1_7==1)&&(State_0_12==1)))||((State_10_11==1)&&(State_9_12==1)))||((State_12_12==1)&&(State_11_13==1)))||((State_13_10==1)&&(State_12_8==1)))||((State_7_10==1)&&(State_8_9==1)))||((State_6_5==1)&&(State_5_4==1)))||((State_2_15==1)&&(State_3_13==1)))||((State_6_12==1)&&(State_5_7==1)))||((State_10_8==1)&&(State_9_3==1)))||((State_12_11==1)&&(State_11_14==1)))||((State_1_9==1)&&(State_0_5==1)))||((State_12_3==1)&&(State_11_14==1)))||((State_11_12==1)&&(State_10_13==1)))||((State_6_12==1)&&(State_5_11==1)))||((State_0_4==1)&&(State_1_9==1)))||((State_9_7==1)&&(State_8_3==1)))||((State_8_7==1)&&(State_7_0==1)))||((State_7_13==1)&&(State_6_9==1)))||((State_8_8==1)&&(State_9_13==1)))||((State_5_0==1)&&(State_6_6==1)))||((State_13_5==1)&&(State_14_8==1)))||((State_10_0==1)&&(State_11_7==1)))||((State_4_3==1)&&(State_3_13==1)))||((State_6_11==1)&&(State_5_7==1)))||((State_2_7==1)&&(State_1_2==1)))||((State_4_9==1)&&(State_3_11==1)))||((State_10_13==1)&&(State_9_4==1)))||((State_3_15==1)&&(State_4_13==1)))||((State_14_4==1)&&(State_15_9==1)))||((State_10_9==1)&&(State_9_15==1)))||((State_6_5==1)&&(State_7_1==1)))||((State_6_11==1)&&(State_5_13==1)))||((State_6_1==1)&&(State_5_11==1)))||((State_8_14==1)&&(State_7_15==1)))||((State_10_7==1)&&(State_9_11==1)))||((State_9_13==1)&&(State_10_15==1)))||((State_4_6==1)&&(State_3_13==1)))||((State_10_11==1)&&(State_11_0==1)))||((State_9_7==1)&&(State_8_13==1)))||((State_13_5==1)&&(State_12_7==1)))||((State_13_10==1)&&(State_12_2==1)))||((State_2_0==1)&&(State_1_3==1)))||((State_6_9==1)&&(State_7_8==1)))||((State_9_7==1)&&(State_8_0==1)))||((State_9_6==1)&&(State_8_3==1)))||((State_1_2==1)&&(State_0_12==1)))||((State_12_15==1)&&(State_13_12==1)))||((State_8_0==1)&&(State_7_8==1)))||((State_6_2==1)&&(State_5_14==1)))||((State_6_1==1)&&(State_5_7==1)))||((State_3_5==1)&&(State_4_13==1)))||((State_14_1==1)&&(State_13_9==1)))||((State_7_12==1)&&(State_6_6==1)))||((State_14_14==1)&&(State_13_0==1)))||((State_5_9==1)&&(State_4_8==1)))||((State_5_5==1)&&(State_4_1==1)))||((State_14_0==1)&&(State_13_1==1)))||((State_9_14==1)&&(State_8_6==1)))||((State_6_1==1)&&(State_5_13==1)))||((State_6_9==1)&&(State_5_10==1)))||((State_8_5==1)&&(State_7_8==1)))||((State_12_2==1)&&(State_11_13==1)))||((State_8_14==1)&&(State_9_5==1)))||((State_4_9==1)&&(State_5_4==1)))||((State_1_2==1)&&(State_2_8==1)))||((State_14_2==1)&&(State_15_5==1)))||((State_5_15==1)&&(State_6_3==1)))||((State_6_11==1)&&(State_7_9==1)))||((State_13_11==1)&&(State_12_2==1)))||((State_1_2==1)&&(State_2_5==1)))||((State_8_13==1)&&(State_9_9==1)))||((State_14_1==1)&&(State_13_3==1)))||((State_3_11==1)&&(State_2_2==1)))||((State_6_2==1)&&(State_7_3==1)))||((State_8_13==1)&&(State_9_1==1)))||((State_10_0==1)&&(State_11_5==1)))||((State_0_11==1)&&(State_1_14==1)))||((State_2_7==1)&&(State_3_15==1)))||((State_7_0==1)&&(State_8_9==1)))||((State_15_15==1)&&(State_14_6==1)))||((State_13_5==1)&&(State_14_4==1)))||((State_12_5==1)&&(State_11_4==1)))||((State_8_10==1)&&(State_9_9==1)))||((State_6_5==1)&&(State_7_11==1)))||((State_5_3==1)&&(State_4_10==1)))||((State_2_0==1)&&(State_3_6==1)))||((State_4_0==1)&&(State_5_6==1)))||((State_9_0==1)&&(State_8_6==1)))||((State_8_10==1)&&(State_9_1==1)))||((State_4_6==1)&&(State_3_12==1)))||((State_14_13==1)&&(State_15_15==1)))||((State_6_1==1)&&(State_7_9==1)))||((State_8_9==1)&&(State_7_8==1)))||((State_3_15==1)&&(State_4_14==1)))||((State_2_8==1)&&(State_3_2==1)))||((State_14_11==1)&&(State_15_13==1)))||((State_13_10==1)&&(State_12_3==1)))||((State_4_7==1)&&(State_5_11==1)))||((State_1_8==1)&&(State_2_9==1)))||((State_10_0==1)&&(State_11_8==1)))||((State_2_7==1)&&(State_3_4==1)))||((State_0_8==1)&&(State_1_0==1)))||((State_2_3==1)&&(State_1_2==1)))||((State_1_3==1)&&(State_0_13==1)))||((State_10_6==1)&&(State_9_14==1)))||((State_13_11==1)&&(State_12_8==1)))||((State_6_5==1)&&(State_7_7==1)))||((State_9_0==1)&&(State_8_5==1)))||((State_14_12==1)&&(State_15_14==1)))||((State_3_0==1)&&(State_2_11==1)))||((State_0_1==1)&&(State_1_0==1)))||((State_15_3==1)&&(State_14_6==1)))||((State_5_1==1)&&(State_4_5==1)))||((State_9_14==1)&&(State_10_8==1)))||((State_8_10==1)&&(State_7_2==1)))||((State_7_5==1)&&(State_8_12==1)))||((State_2_0==1)&&(State_3_4==1)))||((State_6_2==1)&&(State_5_12==1)))||((State_9_2==1)&&(State_10_5==1)))||((State_1_12==1)&&(State_0_9==1)))||((State_14_2==1)&&(State_13_0==1)))||((State_13_13==1)&&(State_12_4==1)))||((State_11_6==1)&&(State_10_1==1)))||((State_6_5==1)&&(State_7_2==1)))||((State_7_10==1)&&(State_6_8==1)))||((State_0_8==1)&&(State_1_15==1)))||((State_1_14==1)&&(State_2_12==1)))||((State_3_5==1)&&(State_4_14==1)))||((State_12_5==1)&&(State_11_13==1)))||((State_11_4==1)&&(State_10_5==1)))||((State_12_1==1)&&(State_13_0==1)))||((State_13_12==1)&&(State_12_14==1)))||((State_3_7==1)&&(State_2_9==1)))||((State_4_6==1)&&(State_5_10==1)))||((State_8_8==1)&&(State_9_2==1)))||((State_13_2==1)&&(State_12_7==1)))||((State_5_2==1)&&(State_6_10==1)))||((State_11_6==1)&&(State_12_14==1)))||((State_14_1==1)&&(State_15_15==1)))||((State_6_5==1)&&(State_5_15==1)))||((State_2_0==1)&&(State_3_15==1)))||((State_3_3==1)&&(State_2_14==1)))||((State_4_3==1)&&(State_5_10==1)))||((State_14_12==1)&&(State_15_3==1)))||((State_6_15==1)&&(State_7_7==1)))||((State_2_4==1)&&(State_1_6==1)))||((State_9_5==1)&&(State_8_2==1)))||((State_6_11==1)&&(State_7_2==1)))||((State_1_11==1)&&(State_2_12==1)))||((State_13_2==1)&&(State_14_8==1)))||((State_5_10==1)&&(State_6_7==1)))||((State_10_2==1)&&(State_11_9==1)))||((State_14_5==1)&&(State_13_0==1)))||((State_6_11==1)&&(State_7_7==1)))||((State_3_13==1)&&(State_4_5==1)))||((State_9_7==1)&&(State_10_8==1)))||((State_0_9==1)&&(State_1_0==1)))||((State_2_2==1)&&(State_1_8==1)))||((State_10_9==1)&&(State_9_10==1)))||((State_1_11==1)&&(State_0_9==1)))||((State_1_1==1)&&(State_0_5==1)))||((State_11_3==1)&&(State_10_2==1)))||((State_8_8==1)&&(State_7_5==1)))||((State_10_10==1)&&(State_9_8==1)))||((State_13_2==1)&&(State_14_4==1)))||((State_13_7==1)&&(State_12_3==1)))||((State_8_2==1)&&(State_7_8==1)))||((State_11_15==1)&&(State_12_13==1)))||((State_10_1==1)&&(State_11_10==1)))||((State_12_8==1)&&(State_13_13==1)))||((State_14_15==1)&&(State_13_1==1)))||((State_4_3==1)&&(State_3_12==1)))||((State_6_12==1)&&(State_7_9==1)))||((State_5_15==1)&&(State_6_12==1)))||((State_12_10==1)&&(State_13_0==1)))||((State_2_15==1)&&(State_3_10==1)))||((State_14_14==1)&&(State_15_15==1)))||((State_8_11==1)&&(State_7_8==1)))||((State_8_4==1)&&(State_7_6==1)))||((State_11_6==1)&&(State_12_11==1)))||((State_8_13==1)&&(State_7_9==1)))||((State_9_12==1)&&(State_8_3==1)))||((State_6_1==1)&&(State_7_7==1)))||((State_3_11==1)&&(State_4_5==1)))||((State_6_12==1)&&(State_5_13==1)))||((State_8_5==1)&&(State_9_14==1)))||((State_12_1==1)&&(State_11_15==1)))||((State_13_3==1)&&(State_12_14==1)))||((State_7_13==1)&&(State_8_12==1)))||((State_6_11==1)&&(State_5_15==1)))||((State_10_1==1)&&(State_9_3==1)))||((State_14_13==1)&&(State_13_0==1)))||((State_15_6==1)&&(State_14_10==1)))||((State_8_12==1)&&(State_7_8==1)))||((State_5_10==1)&&(State_6_13==1)))||((State_8_8==1)&&(State_9_14==1)))||((State_5_13==1)&&(State_4_2==1)))||((State_5_15==1)&&(State_6_8==1)))||((State_9_6==1)&&(State_10_8==1)))||((State_8_7==1)&&(State_9_6==1)))||((State_12_2==1)&&(State_11_4==1)))||((State_12_8==1)&&(State_13_15==1)))||((State_3_3==1)&&(State_2_1==1)))||((State_10_7==1)&&(State_11_13==1)))||((State_10_14==1)&&(State_9_4==1)))||((State_0_13==1)&&(State_1_0==1)))||((State_3_4==1)&&(State_4_5==1)))||((State_1_4==1)&&(State_0_6==1)))||((State_8_10==1)&&(State_7_9==1)))||((State_2_13==1)&&(State_3_7==1)))||((State_4_6==1)&&(State_3_10==1)))||((State_8_5==1)&&(State_9_2==1)))||((State_14_14==1)&&(State_13_6==1)))||((State_9_8==1)&&(State_10_12==1)))||((State_5_15==1)&&(State_4_8==1)))||((State_8_6==1)&&(State_9_4==1)))||((State_8_1==1)&&(State_9_5==1)))||((State_8_7==1)&&(State_7_12==1)))||((State_1_10==1)&&(State_2_9==1)))||((State_12_3==1)&&(State_11_4==1)))||((State_7_14==1)&&(State_6_9==1)))||((State_5_9==1)&&(State_6_3==1)))||((State_11_15==1)&&(State_12_4==1)))||((State_14_11==1)&&(State_15_3==1)))||((State_10_9==1)&&(State_9_12==1)))||((State_4_9==1)&&(State_5_7==1)))||((State_1_1==1)&&(State_2_6==1)))||((State_4_3==1)&&(State_3_9==1)))||((State_12_2==1)&&(State_11_1==1)))||((State_4_9==1)&&(State_5_13==1)))||((State_10_7==1)&&(State_11_1==1)))||((State_0_5==1)&&(State_1_12==1)))||((State_4_6==1)&&(State_3_9==1)))||((State_3_6==1)&&(State_2_5==1)))||((State_10_3==1)&&(State_11_5==1)))||((State_2_7==1)&&(State_1_6==1)))||((State_11_12==1)&&(State_10_4==1)))||((State_12_1==1)&&(State_11_2==1)))||((State_3_0==1)&&(State_2_1==1)))||((State_8_5==1)&&(State_7_3==1)))||((State_6_5==1)&&(State_7_9==1)))||((State_10_13==1)&&(State_11_3==1)))||((State_14_11==1)&&(State_15_14==1)))||((State_7_3==1)&&(State_8_9==1)))||((State_11_15==1)&&(State_12_9==1)))||((State_5_13==1)&&(State_4_11==1)))||((State_5_3==1)&&(State_6_10==1)))||((State_15_5==1)&&(State_14_12==1)))||((State_2_2==1)&&(State_3_14==1)))||((State_7_14==1)&&(State_6_13==1)))||((State_10_1==1)&&(State_9_15==1)))||((State_10_9==1)&&(State_11_0==1)))||((State_3_6==1)&&(State_2_8==1)))||((State_10_8==1)&&(State_11_5==1)))||((State_9_13==1)&&(State_10_10==1)))||((State_11_6==1)&&(State_12_7==1)))||((State_11_8==1)&&(State_10_4==1)))||((State_10_15==1)&&(State_11_9==1)))||((State_10_10==1)&&(State_9_11==1)))||((State_6_2==1)&&(State_5_10==1)))||((State_5_2==1)&&(State_4_13==1)))||((State_14_0==1)&&(State_13_6==1)))||((State_2_8==1)&&(State_1_0==1)))||((State_13_2==1)&&(State_12_0==1)))||((State_8_1==1)&&(State_9_3==1)))||((State_3_15==1)&&(State_4_10==1)))||((State_3_12==1)&&(State_4_4==1)))||((State_1_4==1)&&(State_0_13==1)))||((State_15_2==1)&&(State_14_6==1)))||((State_4_3==1)&&(State_3_10==1)))||((State_12_12==1)&&(State_11_1==1)))||((State_3_6==1)&&(State_4_8==1)))||((State_2_11==1)&&(State_3_8==1)))||((State_1_11==1)&&(State_2_3==1)))||((State_6_11==1)&&(State_7_0==1)))||((State_4_8==1)&&(State_5_6==1)))||((State_6_12==1)&&(State_5_6==1)))||((State_14_15==1)&&(State_13_8==1)))||((State_13_5==1)&&(State_12_6==1)))||((State_1_5==1)&&(State_0_15==1)))||((State_1_9==1)&&(State_2_6==1)))||((State_13_0==1)&&(State_12_13==1)))||((State_8_14==1)&&(State_9_15==1)))||((State_11_8==1)&&(State_10_11==1)))||((State_12_5==1)&&(State_11_14==1)))||((State_9_13==1)&&(State_10_14==1)))||((State_7_5==1)&&(State_6_9==1)))||((State_4_7==1)&&(State_5_6==1)))||((State_14_14==1)&&(State_13_3==1)))||((State_1_1==1)&&(State_2_2==1)))||((State_14_4==1)&&(State_15_14==1)))||((State_2_7==1)&&(State_1_11==1)))||((State_14_1==1)&&(State_13_0==1)))||((State_4_15==1)&&(State_5_3==1)))||((State_12_1==1)&&(State_13_6==1)))||((State_12_6==1)&&(State_13_7==1)))||((State_6_1==1)&&(State_7_0==1)))||((State_7_13==1)&&(State_8_3==1)))||((State_0_1==1)&&(State_1_15==1)))||((State_6_13==1)&&(State_7_15==1)))||((State_15_10==1)&&(State_14_11==1)))||((State_4_6==1)&&(State_5_12==1)))||((State_13_13==1)&&(State_12_9==1)))||((State_7_14==1)&&(State_6_7==1)))||((State_8_13==1)&&(State_7_7==1)))||((State_2_4==1)&&(State_1_11==1)))||((State_15_6==1)&&(State_14_0==1)))||((State_0_11==1)&&(State_1_5==1)))||((State_10_10==1)&&(State_11_13==1)))||((State_7_5==1)&&(State_6_13==1)))||((State_2_10==1)&&(State_1_13==1)))||((State_3_0==1)&&(State_2_14==1)))||((State_1_10==1)&&(State_2_3==1)))||((State_14_14==1)&&(State_13_9==1)))||((State_1_11==1)&&(State_2_9==1)))||((State_4_10==1)&&(State_5_6==1)))||((State_6_4==1)&&(State_5_1==1)))||((State_2_0==1)&&(State_3_12==1)))||((State_3_12==1)&&(State_4_2==1)))||((State_7_6==1)&&(State_6_15==1)))||((State_10_0==1)&&(State_9_4==1)))||((State_8_13==1)&&(State_7_2==1)))||((State_2_3==1)&&(State_1_6==1)))||((State_9_5==1)&&(State_10_4==1)))||((State_6_14==1)&&(State_7_3==1)))||((State_14_15==1)&&(State_13_13==1)))||((State_12_15==1)&&(State_11_8==1)))||((State_14_2==1)&&(State_15_4==1)))||((State_13_5==1)&&(State_12_9==1)))||((State_5_10==1)&&(State_4_1==1)))||((State_9_5==1)&&(State_8_9==1)))||((State_13_0==1)&&(State_12_9==1)))||((State_0_5==1)&&(State_1_13==1)))||((State_7_1==1)&&(State_8_3==1)))||((State_1_9==1)&&(State_2_2==1)))||((State_8_13==1)&&(State_9_8==1)))||((State_9_7==1)&&(State_8_6==1)))||((State_11_7==1)&&(State_12_13==1)))||((State_3_1==1)&&(State_4_0==1)))||((State_2_15==1)&&(State_1_3==1)))||((State_14_5==1)&&(State_13_4==1)))||((State_14_4==1)&&(State_15_8==1)))||((State_6_14==1)&&(State_5_12==1)))||((State_14_13==1)&&(State_13_9==1)))||((State_7_1==1)&&(State_8_0==1)))||((State_9_14==1)&&(State_8_0==1)))||((State_6_15==1)&&(State_7_11==1)))||((State_10_11==1)&&(State_11_1==1)))||((State_6_10==1)&&(State_7_15==1)))||((State_4_12==1)&&(State_5_14==1)))||((State_1_4==1)&&(State_0_0==1)))||((State_15_6==1)&&(State_14_13==1)))||((State_12_1==1)&&(State_13_3==1)))||((State_10_9==1)&&(State_11_1==1)))||((State_11_6==1)&&(State_12_0==1)))||((State_3_9==1)&&(State_2_5==1)))||((State_12_6==1)&&(State_11_0==1)))||((State_7_13==1)&&(State_8_0==1)))||((State_13_8==1)&&(State_12_13==1)))||((State_13_11==1)&&(State_12_3==1)))||((State_5_2==1)&&(State_6_14==1)))||((State_7_14==1)&&(State_8_0==1)))||((State_7_14==1)&&(State_8_13==1)))||((State_1_7==1)&&(State_2_8==1)))||((State_9_0==1)&&(State_10_8==1)))||((State_0_14==1)&&(State_1_7==1)))||((State_4_15==1)&&(State_3_8==1)))||((State_15_5==1)&&(State_14_10==1)))||((State_1_6==1)&&(State_2_9==1)))||((State_11_6==1)&&(State_10_8==1)))||((State_13_6==1)&&(State_14_10==1)))||((State_3_9==1)&&(State_4_8==1)))||((State_5_4==1)&&(State_6_10==1)))||((State_14_8==1)&&(State_13_13==1)))||((State_1_3==1)&&(State_0_0==1)))||((State_12_6==1)&&(State_13_14==1)))||((State_12_15==1)&&(State_11_5==1)))||((State_1_7==1)&&(State_2_5==1)))||((State_6_8==1)&&(State_5_0==1)))||((State_8_7==1)&&(State_7_13==1)))||((State_8_1==1)&&(State_7_15==1)))||((State_12_1==1)&&(State_13_9==1)))||((State_12_14==1)&&(State_11_0==1)))||((State_3_9==1)&&(State_2_8==1)))||((State_14_8==1)&&(State_13_15==1)))||((State_9_2==1)&&(State_8_11==1)))||((State_7_14==1)&&(State_8_3==1)))||((State_13_5==1)&&(State_14_1==1)))||((State_7_5==1)&&(State_6_7==1)))||((State_7_13==1)&&(State_6_7==1)))||((State_2_4==1)&&(State_1_2==1)))||((State_1_1==1)&&(State_2_7==1)))||((State_11_0==1)&&(State_10_12==1)))||((State_9_14==1)&&(State_8_3==1)))||((State_11_2==1)&&(State_12_3==1)))||((State_4_12==1)&&(State_3_15==1)))||((State_14_13==1)&&(State_13_6==1)))||((State_6_7==1)&&(State_7_8==1)))||((State_6_12==1)&&(State_7_0==1)))||((State_2_12==1)&&(State_3_10==1)))||((State_9_2==1)&&(State_10_12==1)))||((State_6_8==1)&&(State_5_9==1)))||((State_7_1==1)&&(State_6_7==1)))||((State_13_8==1)&&(State_12_9==1)))||((State_12_0==1)&&(State_11_5==1)))||((State_11_7==1)&&(State_12_4==1)))||((State_13_2==1)&&(State_12_11==1)))||((State_0_1==1)&&(State_1_14==1)))||((State_14_12==1)&&(State_15_8==1)))||((State_6_5==1)&&(State_5_7==1)))||((State_8_7==1)&&(State_9_2==1)))||((State_7_4==1)&&(State_6_6==1)))||((State_2_0==1)&&(State_3_10==1)))||((State_1_14==1)&&(State_2_9==1)))||((State_3_7==1)&&(State_2_12==1)))||((State_13_8==1)&&(State_12_4==1)))||((State_14_5==1)&&(State_15_4==1)))||((State_9_8==1)&&(State_8_11==1)))||((State_11_3==1)&&(State_10_15==1)))||((State_10_10==1)&&(State_11_4==1)))||((State_12_12==1)&&(State_11_0==1)))||((State_4_12==1)&&(State_3_4==1)))||((State_6_5==1)&&(State_5_11==1)))||((State_13_3==1)&&(State_12_0==1)))||((State_14_2==1)&&(State_13_4==1)))||((State_6_0==1)&&(State_7_8==1)))||((State_4_3==1)&&(State_5_12==1)))||((State_0_14==1)&&(State_1_8==1)))||((State_14_7==1)&&(State_13_12==1)))||((State_3_5==1)&&(State_4_10==1)))||((State_11_14==1)&&(State_12_0==1)))||((State_7_5==1)&&(State_8_0==1)))||((State_5_2==1)&&(State_4_10==1)))||((State_13_2==1)&&(State_14_7==1)))||((State_8_7==1)&&(State_9_14==1)))||((State_12_12==1)&&(State_13_14==1)))||((State_4_9==1)&&(State_5_11==1)))||((State_4_3==1)&&(State_3_6==1)))||((State_10_3==1)&&(State_9_4==1)))||((State_6_5==1)&&(State_5_13==1)))||((State_6_2==1)&&(State_7_8==1)))||((State_13_5==1)&&(State_12_4==1)))||((State_13_0==1)&&(State_12_4==1)))||((State_2_6==1)&&(State_1_8==1)))||((State_14_13==1)&&(State_13_3==1)))||((State_2_10==1)&&(State_1_12==1)))||((State_10_5==1)&&(State_9_9==1)))||((State_1_14==1)&&(State_2_3==1)))||((State_8_10==1)&&(State_7_0==1)))||((State_4_6==1)&&(State_5_14==1)))||((State_11_7==1)&&(State_12_9==1)))||((State_7_5==1)&&(State_8_3==1)))||((State_9_10==1)&&(State_10_2==1)))||((State_6_9==1)&&(State_7_12==1)))||((State_14_1==1)&&(State_15_5==1)))||((State_8_7==1)&&(State_7_5==1)))||((State_10_15==1)&&(State_11_13==1)))||((State_3_9==1)&&(State_4_11==1)))||((State_2_12==1)&&(State_1_8==1)))||((State_10_12==1)&&(State_11_9==1)))||((State_11_4==1)&&(State_10_1==1)))||((State_6_14==1)&&(State_7_9==1)))||((State_14_3==1)&&(State_15_2==1)))||((State_12_15==1)&&(State_13_8==1)))||((State_6_2==1)&&(State_5_4==1)))||((State_3_1==1)&&(State_2_2==1)))||((State_9_11==1)&&(State_10_5==1)))||((State_2_13==1)&&(State_1_14==1)))||((State_14_7==1)&&(State_13_0==1)))||((State_9_13==1)&&(State_8_0==1)))||((State_10_8==1)&&(State_9_12==1)))||((State_10_9==1)&&(State_9_7==1)))||((State_10_2==1)&&(State_9_15==1)))||((State_1_10==1)&&(State_2_0==1)))||((State_14_8==1)&&(State_15_14==1)))||((State_7_5==1)&&(State_6_10==1)))||((State_6_3==1)&&(State_5_11==1)))||((State_10_3==1)&&(State_11_15==1)))||((State_6_7==1)&&(State_7_6==1)))||((State_12_2==1)&&(State_13_12==1)))||((State_4_1==1)&&(State_5_6==1)))||((State_5_4==1)&&(State_4_1==1)))||((State_12_4==1)&&(State_11_5==1)))||((State_5_10==1)&&(State_4_4==1)))||((State_14_10==1)&&(State_15_2==1)))||((State_1_1==1)&&(State_0_7==1)))||((State_3_12==1)&&(State_4_1==1)))||((State_6_3==1)&&(State_5_7==1)))||((State_5_8==1)&&(State_6_1==1)))||((State_2_7==1)&&(State_3_12==1)))||((State_0_9==1)&&(State_1_13==1)))||((State_14_5==1)&&(State_15_12==1)))||((State_1_4==1)&&(State_0_3==1)))||((State_14_14==1)&&(State_13_5==1)))||((State_15_0==1)&&(State_14_4==1)))||((State_13_10==1)&&(State_14_5==1)))||((State_11_1==1)&&(State_10_4==1)))||((State_10_0==1)&&(State_9_13==1)))||((State_15_1==1)&&(State_14_12==1)))||((State_12_5==1)&&(State_13_14==1)))||((State_11_11==1)&&(State_10_14==1)))||((State_7_5==1)&&(State_8_11==1)))||((State_10_15==1)&&(State_9_11==1)))||((State_15_0==1)&&(State_14_8==1)))||((State_11_4==1)&&(State_12_14==1)))||((State_11_8==1)&&(State_12_10==1)))||((State_0_8==1)&&(State_1_5==1)))||((State_9_10==1)&&(State_10_1==1)))||((State_8_7==1)&&(State_7_1==1)))||((State_4_12==1)&&(State_5_10==1)))||((State_12_11==1)&&(State_11_8==1)))||((State_14_1==1)&&(State_15_9==1)))||((State_7_2==1)&&(State_6_1==1)))||((State_6_13==1)&&(State_7_0==1)))||((State_12_5==1)&&(State_11_1==1)))||((State_12_0==1)&&(State_11_13==1)))||((State_3_4==1)&&(State_4_8==1)))||((State_3_7==1)&&(State_4_1==1)))||((State_14_4==1)&&(State_13_12==1)))||((State_14_12==1)&&(State_13_1==1)))||((State_5_13==1)&&(State_6_3==1)))||((State_7_14==1)&&(State_8_12==1)))||((State_3_8==1)&&(State_4_14==1)))||((State_1_9==1)&&(State_0_7==1)))||((State_0_14==1)&&(State_1_2==1)))||((State_2_7==1)&&(State_1_4==1)))||((State_3_1==1)&&(State_2_6==1)))||((State_1_1==1)&&(State_2_11==1)))||((State_2_6==1)&&(State_1_13==1)))||((State_6_10==1)&&(State_7_11==1)))||((State_5_2==1)&&(State_6_0==1)))||((State_1_15==1)&&(State_2_12==1)))||((State_8_1==1)&&(State_7_6==1)))||((State_10_3==1)&&(State_9_6==1)))||((State_15_10==1)&&(State_14_3==1)))||((State_13_11==1)&&(State_14_5==1)))||((State_5_0==1)&&(State_4_14==1)))||((State_6_4==1)&&(State_7_3==1)))||((State_10_1==1)&&(State_11_14==1)))||((State_11_3==1)&&(State_12_7==1)))||((State_14_8==1)&&(State_15_3==1)))||((State_7_14==1)&&(State_6_11==1)))||((State_15_10==1)&&(State_14_14==1)))||((State_2_13==1)&&(State_3_2==1)))||((State_11_0==1)&&(State_10_4==1)))||((State_4_11==1)&&(State_5_6==1)))||((State_12_11==1)&&(State_11_7==1)))||((State_2_7==1)&&(State_3_13==1)))||((State_13_8==1)&&(State_14_10==1)))||((State_10_14==1)&&(State_11_13==1)))||((State_1_11==1)&&(State_0_15==1)))||((State_6_4==1)&&(State_5_12==1)))||((State_6_2==1)&&(State_7_1==1)))||((State_8_7==1)&&(State_9_8==1)))||((State_8_5==1)&&(State_9_11==1)))||((State_9_0==1)&&(State_10_1==1)))||((State_4_0==1)&&(State_5_1==1)))||((State_4_7==1)&&(State_3_5==1)))||((State_7_1==1)&&(State_6_0==1)))||((State_14_2==1)&&(State_15_13==1)))||((State_8_12==1)&&(State_7_15==1)))||((State_11_7==1)&&(State_10_4==1)))||((State_0_10==1)&&(State_1_6==1)))||((State_1_4==1)&&(State_0_15==1)))||((State_12_1==1)&&(State_13_5==1)))||((State_1_15==1)&&(State_0_9==1)))||((State_4_12==1)&&(State_3_1==1)))||((State_9_13==1)&&(State_8_3==1)))||((State_13_4==1)&&(State_14_10==1)))||((State_8_13==1)&&(State_9_15==1)))||((State_0_1==1)&&(State_1_2==1)))||((State_8_12==1)&&(State_9_3==1)))||((State_0_10==1)&&(State_1_2==1)))||((State_0_1==1)&&(State_1_3==1)))||((State_9_7==1)&&(State_8_12==1)))||((State_14_15==1)&&(State_13_0==1)))||((State_8_7==1)&&(State_7_2==1)))||((State_6_1==1)&&(State_7_15==1)))||((State_6_14==1)&&(State_7_7==1)))||((State_1_5==1)&&(State_0_7==1)))||((State_12_1==1)&&(State_11_11==1)))||((State_11_3==1)&&(State_12_0==1)))||((State_6_8==1)&&(State_7_12==1)))||((State_14_0==1)&&(State_15_2==1)))||((State_1_14==1)&&(State_0_3==1)))||((State_10_0==1)&&(State_9_14==1)))||((State_4_9==1)&&(State_3_2==1)))||((State_10_10==1)&&(State_11_5==1)))||((State_4_12==1)&&(State_3_10==1)))||((State_10_14==1)&&(State_11_4==1)))||((State_6_11==1)&&(State_5_3==1)))||((State_13_8==1)&&(State_14_12==1)))||((State_9_0==1)&&(State_8_3==1)))||((State_9_10==1)&&(State_8_3==1)))||((State_6_14==1)&&(State_7_2==1)))||((State_1_9==1)&&(State_2_11==1)))||((State_1_11==1)&&(State_0_3==1)))||((State_13_2==1)&&(State_14_5==1)))||((State_2_4==1)&&(State_1_13==1)))||((State_15_1==1)&&(State_14_10==1)))||((State_6_12==1)&&(State_7_15==1)))||((State_2_11==1)&&(State_1_6==1)))||((State_14_14==1)&&(State_15_4==1)))||((State_13_5==1)&&(State_12_14==1)))||((State_1_12==1)&&(State_0_7==1)))||((State_10_9==1)&&(State_11_7==1)))||((State_12_11==1)&&(State_11_5==1)))||((State_11_15==1)&&(State_10_5==1)))||((State_8_8==1)&&(State_7_0==1)))||((State_6_2==1)&&(State_7_11==1)))||((State_3_2==1)&&(State_2_12==1)))||((State_5_8==1)&&(State_6_0==1)))||((State_13_11==1)&&(State_14_13==1)))||((State_5_11==1)&&(State_4_14==1)))||((State_4_2==1)&&(State_5_6==1)))||((State_1_5==1)&&(State_2_11==1)))||((State_9_0==1)&&(State_8_13==1)))||((State_5_0==1)&&(State_6_15==1)))||((State_5_15==1)&&(State_6_14==1)))||((State_2_13==1)&&(State_3_14==1)))||((State_0_6==1)&&(State_1_8==1)))||((State_10_0==1)&&(State_9_2==1)))||((State_3_6==1)&&(State_4_4==1)))||((State_7_4==1)&&(State_6_9==1)))||((State_6_15==1)&&(State_5_6==1)))||((State_10_6==1)&&(State_9_4==1)))||((State_13_11==1)&&(State_14_6==1)))||((State_4_12==1)&&(State_3_9==1)))||((State_8_6==1)&&(State_9_15==1)))||((State_2_7==1)&&(State_3_10==1)))||((State_12_12==1)&&(State_11_3==1)))||((State_11_12==1)&&(State_10_11==1)))||((State_4_9==1)&&(State_3_14==1)))||((State_1_2==1)&&(State_0_3==1)))||((State_8_4==1)&&(State_7_3==1)))||((State_4_12==1)&&(State_3_6==1)))||((State_10_10==1)&&(State_11_8==1)))||((State_8_13==1)&&(State_7_15==1)))||((State_15_1==1)&&(State_14_9==1)))||((State_3_14==1)&&(State_2_9==1)))||((State_10_2==1)&&(State_9_3==1)))||((State_2_0==1)&&(State_3_11==1)))||((State_4_0==1)&&(State_3_7==1)))||((State_14_5==1)&&(State_13_14==1)))||((State_13_11==1)&&(State_14_0==1)))||((State_7_2==1)&&(State_6_10==1)))||((State_7_4==1)&&(State_6_13==1)))||((State_10_9==1)&&(State_11_8==1)))||((State_10_10==1)&&(State_11_7==1)))||((State_0_8==1)&&(State_1_7==1)))||((State_5_15==1)&&(State_4_10==1)))||((State_4_3==1)&&(State_5_6==1)))||((State_12_15==1)&&(State_13_13==1)))||((State_9_5==1)&&(State_10_8==1)))||((State_6_13==1)&&(State_5_6==1)))||((State_2_10==1)&&(State_3_7==1)))||((State_8_12==1)&&(State_9_5==1)))||((State_9_6==1)&&(State_8_2==1)))||((State_0_14==1)&&(State_1_10==1)))||((State_11_3==1)&&(State_10_8==1)))||((State_1_14==1)&&(State_0_15==1)))||((State_5_11==1)&&(State_6_15==1)))||((State_12_7==1)&&(State_11_13==1)))||((State_14_13==1)&&(State_13_14==1)))||((State_12_5==1)&&(State_11_0==1)))||((State_4_15==1)&&(State_3_3==1)))||((State_5_3==1)&&(State_4_9==1)))||((State_10_13==1)&&(State_11_15==1)))||((State_14_7==1)&&(State_15_15==1)))||((State_5_0==1)&&(State_4_13==1)))||((State_5_10==1)&&(State_4_2==1)))||((State_10_9==1)&&(State_11_5==1)))||((State_6_3==1)&&(State_7_7==1)))||((State_15_7==1)&&(State_14_12==1)))||((State_3_1==1)&&(State_2_7==1)))||((State_7_0==1)&&(State_8_6==1)))||((State_5_2==1)&&(State_4_11==1)))||((State_12_8==1)&&(State_11_11==1)))||((State_14_2==1)&&(State_13_5==1)))||((State_3_5==1)&&(State_2_2==1)))||((State_4_9==1)&&(State_5_0==1)))||((State_2_3==1)&&(State_1_12==1)))||((State_1_2==1)&&(State_0_15==1)))||((State_9_6==1)&&(State_10_11==1)))||((State_9_10==1)&&(State_8_0==1)))||((State_1_7==1)&&(State_0_9==1)))||((State_14_2==1)&&(State_15_6==1)))||((State_6_4==1)&&(State_5_14==1)))||((State_1_9==1)&&(State_2_14==1)))||((State_10_13==1)&&(State_9_6==1)))||((State_11_4==1)&&(State_12_0==1)))||((State_2_10==1)&&(State_1_0==1)))||((State_5_3==1)&&(State_6_4==1)))||((State_12_3==1)&&(State_13_1==1)))||((State_1_10==1)&&(State_0_1==1)))||((State_13_7==1)&&(State_14_10==1)))||((State_14_9==1)&&(State_15_14==1)))||((State_5_9==1)&&(State_4_5==1)))||((State_7_10==1)&&(State_6_0==1)))||((State_6_8==1)&&(State_7_5==1)))||((State_1_9==1)&&(State_2_1==1)))||((State_14_12==1)&&(State_13_3==1)))||((State_8_7==1)&&(State_7_9==1)))||((State_9_5==1)&&(State_8_6==1)))||((State_2_7==1)&&(State_3_6==1)))||((State_6_6==1)&&(State_7_8==1)))||((State_8_5==1)&&(State_7_11==1)))||((State_3_7==1)&&(State_2_1==1)))||((State_3_0==1)&&(State_2_5==1)))||((State_11_8==1)&&(State_10_14==1)))||((State_14_14==1)&&(State_13_4==1)))||((State_9_6==1)&&(State_10_4==1)))||((State_12_3==1)&&(State_11_9==1)))||((State_15_6==1)&&(State_14_9==1)))||((State_7_6==1)&&(State_8_9==1)))||((State_10_9==1)&&(State_9_3==1)))||((State_8_10==1)&&(State_9_8==1)))||((State_2_5==1)&&(State_1_8==1)))||((State_10_1==1)&&(State_9_9==1)))||((State_1_5==1)&&(State_2_8==1)))||((State_11_3==1)&&(State_12_11==1)))||((State_11_11==1)&&(State_12_10==1)))||((State_11_12==1)&&(State_10_9==1)))||((State_13_0==1)&&(State_14_10==1)))||((State_14_7==1)&&(State_13_4==1)))||((State_8_13==1)&&(State_9_3==1)))||((State_2_8==1)&&(State_1_13==1)))||((State_10_2==1)&&(State_11_10==1)))||((State_11_12==1)&&(State_10_5==1)))||((State_3_8==1)&&(State_4_10==1)))||((State_13_2==1)&&(State_14_0==1)))||((State_0_8==1)&&(State_1_14==1)))||((State_14_13==1)&&(State_15_8==1)))||((State_14_2==1)&&(State_15_14==1)))||((State_14_1==1)&&(State_13_14==1)))||((State_10_3==1)&&(State_9_14==1)))||((State_2_4==1)&&(State_1_12==1)))||((State_8_2==1)&&(State_7_15==1)))||((State_3_11==1)&&(State_4_4==1)))||((State_14_9==1)&&(State_15_3==1)))||((State_11_4==1)&&(State_10_8==1)))||((State_14_2==1)&&(State_15_3==1)))||((State_14_12==1)&&(State_13_9==1)))||((State_10_3==1)&&(State_9_2==1)))||((State_3_9==1)&&(State_4_4==1)))||((State_6_14==1)&&(State_5_4==1)))||((State_10_9==1)&&(State_11_10==1)))||((State_1_12==1)&&(State_2_8==1)))||((State_8_8==1)&&(State_7_13==1)))||((State_13_12==1)&&(State_14_3==1)))||((State_3_5==1)&&(State_4_1==1)))||((State_6_2==1)&&(State_5_3==1)))||((State_5_0==1)&&(State_4_10==1)))||((State_3_12==1)&&(State_4_7==1)))||((State_3_14==1)&&(State_4_13==1)))||((State_8_2==1)&&(State_9_3==1)))||((State_14_12==1)&&(State_13_6==1)))||((State_10_9==1)&&(State_9_5==1)))||((State_12_1==1)&&(State_13_4==1)))||((State_7_13==1)&&(State_6_15==1)))||((State_6_13==1)&&(State_7_9==1)))||((State_0_14==1)&&(State_1_6==1)))||((State_13_5==1)&&(State_14_7==1)))||((State_11_12==1)&&(State_10_7==1)))||((State_13_10==1)&&(State_14_6==1)))||((State_6_14==1)&&(State_7_1==1)))||((State_2_13==1)&&(State_1_0==1)))||((State_12_8==1)&&(State_11_14==1)))||((State_6_0==1)&&(State_7_15==1)))||((State_8_8==1)&&(State_7_12==1)))||((State_6_12==1)&&(State_5_1==1)))||((State_10_15==1)&&(State_11_4==1)))||((State_11_2==1)&&(State_10_12==1)))||((State_13_1==1)&&(State_14_6==1)))||((State_6_11==1)&&(State_5_4==1)))||((State_5_5==1)&&(State_6_1==1)))||((State_3_0==1)&&(State_4_8==1)))||((State_11_15==1)&&(State_10_12==1)))||((State_3_7==1)&&(State_2_14==1)))||((State_6_11==1)&&(State_7_1==1)))||((State_13_4==1)&&(State_14_6==1)))||((State_1_1==1)&&(State_0_2==1)))||((State_2_7==1)&&(State_3_9==1)))||((State_13_5==1)&&(State_12_11==1)))||((State_3_0==1)&&(State_2_8==1)))||((State_8_10==1)&&(State_7_7==1)))||((State_9_0==1)&&(State_8_12==1)))||((State_8_13==1)&&(State_9_5==1)))||((State_8_6==1)&&(State_7_15==1)))||((State_2_3==1)&&(State_1_13==1)))||((State_2_10==1)&&(State_1_15==1)))||((State_6_5==1)&&(State_5_3==1)))||((State_15_7==1)&&(State_14_5==1)))||((State_3_6==1)&&(State_4_2==1)))||((State_0_4==1)&&(State_1_13==1)))||((State_8_6==1)&&(State_9_3==1)))||((State_5_15==1)&&(State_4_13==1)))||((State_13_2==1)&&(State_14_13==1)))||((State_10_2==1)&&(State_9_5==1)))||((State_3_11==1)&&(State_4_2==1)))||((State_6_10==1)&&(State_7_7==1)))||((State_3_10==1)&&(State_4_5==1)))||((State_13_10==1)&&(State_14_13==1)))||((State_8_14==1)&&(State_7_3==1)))||((State_14_7==1)&&(State_15_4==1)))||((State_8_15==1)&&(State_9_12==1)))||((State_0_14==1)&&(State_1_11==1)))||((State_3_8==1)&&(State_4_13==1)))||((State_1_9==1)&&(State_0_2==1)))||((State_4_13==1)&&(State_3_10==1)))||((State_8_10==1)&&(State_7_11==1)))||((State_14_15==1)&&(State_13_3==1)))||((State_12_6==1)&&(State_13_13==1)))||((State_10_0==1)&&(State_11_15==1)))||((State_13_2==1)&&(State_14_6==1)))||((State_7_13==1)&&(State_8_15==1)))||((State_15_6==1)&&(State_14_11==1)))||((State_11_3==1)&&(State_10_1==1)))||((State_8_1==1)&&(State_9_4==1)))||((State_13_8==1)&&(State_14_9==1)))||((State_5_7==1)&&(State_4_5==1)))||((State_6_13==1)&&(State_5_11==1)))||((State_14_13==1)&&(State_15_9==1)))||((State_15_7==1)&&(State_14_13==1)))||((State_5_11==1)&&(State_4_10==1)))||((State_3_2==1)&&(State_4_11==1)))||((State_6_14==1)&&(State_7_11==1)))||((State_12_15==1)&&(State_11_3==1)))||((State_13_5==1)&&(State_12_0==1)))||((State_7_14==1)&&(State_8_7==1)))||((State_3_4==1)&&(State_2_5==1)))||((State_2_10==1)&&(State_3_5==1)))||((State_1_5==1)&&(State_0_12==1)))||((State_8_2==1)&&(State_9_15==1)))||((State_10_0==1)&&(State_9_6==1)))||((State_3_1==1)&&(State_4_15==1)))||((State_12_11==1)&&(State_11_10==1)))||((State_6_13==1)&&(State_5_7==1)))||((State_8_7==1)&&(State_9_9==1)))||((State_15_7==1)&&(State_14_6==1)))||((State_10_13==1)&&(State_9_9==1)))||((State_3_6==1)&&(State_4_11==1)))||((State_8_7==1)&&(State_9_1==1)))||((State_4_15==1)&&(State_5_5==1)))||((State_11_6==1)&&(State_12_15==1)))||((State_2_13==1)&&(State_3_5==1)))||((State_12_6==1)&&(State_13_15==1)))||((State_1_1==1)&&(State_2_14==1)))||((State_10_13==1)&&(State_9_1==1)))||((State_3_4==1)&&(State_2_8==1)))||((State_13_7==1)&&(State_14_9==1)))||((State_2_7==1)&&(State_1_10==1)))||((State_4_12==1)&&(State_3_13==1)))||((State_4_7==1)&&(State_5_1==1)))||((State_2_13==1)&&(State_1_15==1)))||((State_14_7==1)&&(State_15_5==1)))||((State_8_12==1)&&(State_9_15==1)))||((State_13_10==1)&&(State_14_0==1)))||((State_5_15==1)&&(State_4_14==1)))||((State_15_1==1)&&(State_14_11==1)))||((State_14_5==1)&&(State_13_7==1)))||((State_14_15==1)&&(State_13_9==1)))||((State_10_14==1)&&(State_9_11==1)))||((State_1_6==1)&&(State_0_2==1)))||((State_7_9==1)&&(State_6_6==1)))||((State_3_1==1)&&(State_4_5==1)))||((State_3_9==1)&&(State_2_0==1)))||((State_6_3==1)&&(State_7_11==1)))||((State_8_10==1)&&(State_7_1==1)))||((State_2_15==1)&&(State_3_11==1)))||((State_0_4==1)&&(State_1_12==1)))||((State_14_5==1)&&(State_15_2==1)))||((State_8_8==1)&&(State_9_6==1)))||((State_3_15==1)&&(State_4_9==1)))||((State_1_12==1)&&(State_2_5==1)))||((State_2_10==1)&&(State_1_14==1)))||((State_13_13==1)&&(State_14_10==1)))||((State_7_4==1)&&(State_8_12==1)))||((State_14_5==1)&&(State_15_0==1)))||((State_3_9==1)&&(State_4_2==1)))||((State_5_5==1)&&(State_6_10==1)))||((State_14_1==1)&&(State_15_12==1)))||((State_11_15==1)&&(State_10_6==1)))||((State_14_9==1)&&(State_15_8==1)))||((State_5_2==1)&&(State_6_1==1)))||((State_9_10==1)&&(State_10_8==1)))||((State_14_15==1)&&(State_13_6==1)))||((State_10_2==1)&&(State_11_5==1)))||((State_11_3==1)&&(State_12_14==1)))||((State_11_2==1)&&(State_10_6==1)))||((State_9_13==1)&&(State_10_1==1)))||((State_1_10==1)&&(State_0_9==1)))||((State_3_1==1)&&(State_4_6==1)))||((State_5_8==1)&&(State_4_11==1)))||((State_12_12==1)&&(State_13_15==1)))||((State_7_5==1)&&(State_8_15==1)))||((State_3_14==1)&&(State_4_10==1)))||((State_5_3==1)&&(State_4_0==1)))||((State_4_9==1)&&(State_3_5==1)))||((State_10_8==1)&&(State_11_0==1)))||((State_9_2==1)&&(State_8_12==1)))||((State_14_14==1)&&(State_15_5==1)))||((State_5_10==1)&&(State_6_6==1)))||((State_2_7==1)&&(State_1_3==1)))||((State_6_7==1)&&(State_5_14==1)))||((State_12_6==1)&&(State_13_8==1)))||((State_9_7==1)&&(State_10_1==1)))||((State_12_7==1)&&(State_11_1==1)))||((State_15_7==1)&&(State_14_0==1)))||((State_1_10==1)&&(State_2_12==1)))||((State_10_10==1)&&(State_9_4==1)))||((State_7_2==1)&&(State_6_0==1)))||((State_12_12==1)&&(State_13_13==1)))||((State_9_7==1)&&(State_8_9==1)))||((State_9_10==1)&&(State_8_6==1)))||((State_12_3==1)&&(State_13_6==1)))||((State_3_8==1)&&(State_2_9==1)))||((State_3_5==1)&&(State_2_14==1)))||((State_8_4==1)&&(State_7_13==1)))||((State_14_5==1)&&(State_15_8==1)))||((State_14_12==1)&&(State_13_0==1)))||((State_12_8==1)&&(State_13_0==1)))||((State_7_13==1)&&(State_6_12==1)))||((State_7_0==1)&&(State_6_7==1)))||((State_3_14==1)&&(State_2_12==1)))||((State_11_2==1)&&(State_10_5==1)))||((State_13_5==1)&&(State_12_2==1)))||((State_1_1==1)&&(State_0_11==1)))||((State_2_11==1)&&(State_1_8==1)))||((State_12_7==1)&&(State_11_0==1)))||((State_4_9==1)&&(State_3_7==1)))||((State_10_14==1)&&(State_11_0==1)))||((State_3_4==1)&&(State_2_11==1)))||((State_13_5==1)&&(State_12_8==1)))||((State_11_6==1)&&(State_10_13==1)))||((State_5_1==1)&&(State_4_2==1)))||((State_11_14==1)&&(State_12_9==1)))||((State_10_1==1)&&(State_11_13==1)))||((State_14_13==1)&&(State_15_3==1)))||((State_6_14==1)&&(State_7_12==1)))||((State_14_2==1)&&(State_15_10==1)))||((State_9_1==1)&&(State_8_0==1)))||((State_6_8==1)&&(State_5_10==1)))||((State_5_5==1)&&(State_4_14==1)))||((State_11_1==1)&&(State_10_5==1)))||((State_7_10==1)&&(State_8_11==1)))||((State_11_14==1)&&(State_12_13==1)))||((State_8_8==1)&&(State_7_7==1)))||((State_7_15==1)&&(State_8_3==1)))||((State_11_7==1)&&(State_12_3==1)))||((State_9_6==1)&&(State_8_9==1)))||((State_13_11==1)&&(State_14_9==1)))||((State_7_5==1)&&(State_6_15==1)))||((State_14_7==1)&&(State_13_1==1)))||((State_12_15==1)&&(State_11_2==1)))||((State_2_13==1)&&(State_1_8==1)))||((State_13_7==1)&&(State_14_13==1)))||((State_8_5==1)&&(State_7_7==1)))||((State_6_4==1)&&(State_7_6==1)))||((State_15_12==1)&&(State_14_6==1)))||((State_1_6==1)&&(State_2_1==1)))||((State_6_2==1)&&(State_7_0==1)))||((State_14_11==1)&&(State_15_12==1)))||((State_5_7==1)&&(State_6_6==1)))||((State_13_7==1)&&(State_14_6==1)))||((State_10_14==1)&&(State_9_12==1)))||((State_14_9==1)&&(State_15_12==1)))||((State_10_15==1)&&(State_11_14==1)))||((State_6_13==1)&&(State_7_11==1)))||((State_4_11==1)&&(State_3_13==1)))||((State_5_5==1)&&(State_6_15==1)))||((State_10_10==1)&&(State_9_15==1)))||((State_6_3==1)&&(State_7_12==1)))||((State_3_0==1)&&(State_2_3==1)))||((State_1_7==1)&&(State_2_9==1)))||((State_5_3==1)&&(State_4_4==1)))||((State_13_11==1)&&(State_14_10==1)))||((State_7_9==1)&&(State_8_6==1)))||((State_4_3==1)&&(State_3_11==1)))||((State_8_15==1)&&(State_9_5==1)))||((State_5_9==1)&&(State_6_7==1)))||((State_1_5==1)&&(State_0_2==1)))||((State_10_7==1)&&(State_11_8==1)))||((State_8_7==1)&&(State_9_11==1)))||((State_1_14==1)&&(State_0_6==1)))||((State_10_15==1)&&(State_9_8==1)))||((State_4_3==1)&&(State_5_4==1)))||((State_14_2==1)&&(State_15_8==1)))||((State_14_11==1)&&(State_13_14==1)))||((State_6_15==1)&&(State_7_8==1)))||((State_8_12==1)&&(State_9_4==1)))||((State_8_2==1)&&(State_7_6==1)))||((State_12_1==1)&&(State_11_4==1)))||((State_11_8==1)&&(State_10_15==1)))||((State_8_4==1)&&(State_7_12==1)))||((State_1_9==1)&&(State_0_11==1)))||((State_3_15==1)&&(State_4_11==1)))||((State_12_7==1)&&(State_13_14==1)))||((State_10_13==1)&&(State_11_9==1)))||((State_5_12==1)&&(State_4_1==1)))||((State_12_12==1)&&(State_11_7==1)))||((State_13_2==1)&&(State_12_3==1)))||((State_12_15==1)&&(State_13_6==1)))||((State_6_11==1)&&(State_7_10==1)))||((State_2_7==1)&&(State_1_9==1)))||((State_3_12==1)&&(State_2_2==1)))||((State_9_7==1)&&(State_10_13==1)))||((State_3_5==1)&&(State_2_1==1)))||((State_1_7==1)&&(State_2_3==1)))||((State_9_13==1)&&(State_8_5==1)))||((State_7_0==1)&&(State_8_3==1)))||((State_6_11==1)&&(State_7_4==1)))||((State_8_1==1)&&(State_7_3==1)))||((State_7_13==1)&&(State_6_3==1)))||((State_0_4==1)&&(State_1_1==1)))||((State_14_13==1)&&(State_15_14==1)))||((State_1_3==1)&&(State_2_9==1)))||((State_5_15==1)&&(State_6_0==1)))||((State_13_12==1)&&(State_12_10==1)))||((State_2_4==1)&&(State_3_13==1)))||((State_10_11==1)&&(State_11_14==1)))||((State_5_3==1)&&(State_4_2==1)))||((State_3_0==1)&&(State_4_10==1)))||((State_6_1==1)&&(State_7_10==1)))||((State_7_13==1)&&(State_8_2==1)))||((State_1_10==1)&&(State_0_6==1)))||((State_3_12==1)&&(State_4_5==1)))||((State_11_3==1)&&(State_12_4==1)))||((State_5_0==1)&&(State_6_10==1)))||((State_2_14==1)&&(State_3_2==1)))||((State_2_11==1)&&(State_3_3==1)))||((State_3_2==1)&&(State_4_10==1)))||((State_13_7==1)&&(State_14_12==1)))||((State_8_9==1)&&(State_9_4==1)))||((State_9_8==1)&&(State_8_2==1)))||((State_8_8==1)&&(State_7_1==1)))||((State_12_12==1)&&(State_11_8==1)))||((State_12_2==1)&&(State_11_10==1)))||((State_8_5==1)&&(State_9_8==1)))||((State_6_5==1)&&(State_5_1==1)))||((State_10_3==1)&&(State_11_2==1)))||((State_14_12==1)&&(State_15_15==1)))||((State_15_6==1)&&(State_14_14==1)))||((State_10_7==1)&&(State_9_3==1)))||((State_11_13==1)&&(State_10_5==1)))||((State_7_2==1)&&(State_8_15==1)))||((State_14_9==1)&&(State_15_2==1)))||((State_10_15==1)&&(State_11_11==1)))||((State_11_10==1)&&(State_10_8==1)))||((State_12_12==1)&&(State_11_5==1)))||((State_15_1==1)&&(State_14_5==1)))||((State_6_11==1)&&(State_5_8==1)))||((State_11_11==1)&&(State_12_9==1)))||((State_6_9==1)&&(State_7_6==1)))||((State_14_11==1)&&(State_13_7==1)))||((State_12_10==1)&&(State_13_13==1)))||((State_12_6==1)&&(State_11_5==1)))||((State_0_8==1)&&(State_1_6==1)))||((State_8_10==1)&&(State_9_12==1)))||((State_6_0==1)&&(State_7_6==1)))||((State_12_11==1)&&(State_13_7==1)))||((State_4_9==1)&&(State_5_1==1)))||((State_10_11==1)&&(State_9_8==1)))||((State_15_6==1)&&(State_14_3==1)))||((State_1_15==1)&&(State_0_13==1)))||((State_7_12==1)&&(State_8_11==1)))||((State_10_14==1)&&(State_11_1==1)))||((State_6_14==1)&&(State_5_6==1)))||((State_6_11==1)&&(State_5_1==1)))||((State_1_8==1)&&(State_0_7==1)))||((State_8_10==1)&&(State_7_4==1)))||((State_11_11==1)&&(State_12_4==1)))||((State_10_13==1)&&(State_11_2==1)))||((State_9_0==1)&&(State_8_7==1)))||((State_14_8==1)&&(State_15_4==1)))||((State_0_14==1)&&(State_1_4==1)))||((State_10_7==1)&&(State_11_10==1)))||((State_2_15==1)&&(State_1_12==1)))||((State_3_6==1)&&(State_2_12==1)))||((State_12_0==1)&&(State_13_14==1)))||((State_13_2==1)&&(State_12_8==1)))||((State_8_13==1)&&(State_7_10==1)))||((State_11_3==1)&&(State_12_13==1)))||((State_9_8==1)&&(State_10_4==1)))||((State_6_2==1)&&(State_5_7==1)))||((State_6_13==1)&&(State_7_7==1)))||((State_12_5==1)&&(State_13_2==1)))||((State_13_0==1)&&(State_14_3==1)))||((State_12_10==1)&&(State_13_15==1)))||((State_8_8==1)&&(State_7_11==1)))||((State_8_5==1)&&(State_7_1==1)))||((State_10_9==1)&&(State_11_3==1)))||((State_12_3==1)&&(State_13_9==1)))||((State_12_8==1)&&(State_11_15==1)))||((State_5_2==1)&&(State_6_6==1)))||((State_2_10==1)&&(State_3_8==1)))||((State_6_2==1)&&(State_5_13==1)))||((State_5_13==1)&&(State_4_10==1)))||((State_3_9==1)&&(State_2_3==1)))||((State_14_1==1)&&(State_15_14==1)))||((State_8_4==1)&&(State_7_5==1)))||((State_11_9==1)&&(State_12_13==1)))||((State_12_5==1)&&(State_11_10==1)))||((State_13_10==1)&&(State_14_12==1)))||((State_7_3==1)&&(State_8_6==1)))||((State_0_10==1)&&(State_1_8==1)))||((State_1_6==1)&&(State_2_14==1)))||((State_7_5==1)&&(State_8_2==1)))||((State_6_3==1)&&(State_5_6==1)))||((State_14_4==1)&&(State_15_11==1)))||((State_7_13==1)&&(State_8_14==1)))||((State_5_15==1)&&(State_6_1==1)))||((State_14_15==1)&&(State_13_5==1)))||((State_3_1==1)&&(State_2_14==1)))||((State_0_11==1)&&(State_1_2==1)))||((State_8_4==1)&&(State_9_2==1)))||((State_6_8==1)&&(State_5_12==1)))||((State_14_10==1)&&(State_15_8==1)))||((State_11_11==1)&&(State_12_13==1)))||((State_10_7==1)&&(State_9_5==1)))||((State_5_8==1)&&(State_4_10==1)))||((State_13_5==1)&&(State_12_3==1)))||((State_5_5==1)&&(State_6_3==1)))||((State_0_8==1)&&(State_1_11==1)))||((State_1_9==1)&&(State_2_8==1)))||((State_14_8==1)&&(State_13_4==1)))||((State_4_0==1)&&(State_3_8==1)))||((State_9_1==1)&&(State_8_3==1)))||((State_14_0==1)&&(State_15_11==1)))||((State_7_5==1)&&(State_6_3==1)))||((State_4_2==1)&&(State_3_13==1)))||((State_14_14==1)&&(State_15_3==1)))||((State_4_15==1)&&(State_3_5==1)))||((State_7_4==1)&&(State_8_6==1)))||((State_14_1==1)&&(State_15_3==1)))||((State_4_3==1)&&(State_5_15==1)))||((State_7_1==1)&&(State_6_6==1)))||((State_10_2==1)&&(State_9_4==1)))||((State_11_3==1)&&(State_12_9==1)))||((State_6_2==1)&&(State_5_11==1)))||((State_1_15==1)&&(State_0_0==1)))||((State_8_4==1)&&(State_9_14==1)))||((State_14_3==1)&&(State_13_14==1)))||((State_10_14==1)&&(State_9_15==1)))||((State_14_7==1)&&(State_13_9==1)))||((State_0_6==1)&&(State_1_2==1)))||((State_7_3==1)&&(State_8_0==1)))||((State_2_13==1)&&(State_1_5==1)))||((State_10_0==1)&&(State_11_9==1)))||((State_5_5==1)&&(State_4_10==1)))||((State_0_2==1)&&(State_1_12==1)))||((State_6_14==1)&&(State_7_0==1)))||((State_4_3==1)&&(State_5_11==1)))||((State_8_2==1)&&(State_9_4==1)))||((State_12_11==1)&&(State_11_1==1)))||((State_4_6==1)&&(State_5_13==1)))||((State_1_7==1)&&(State_2_12==1)))||((State_15_7==1)&&(State_14_9==1)))||((State_5_12==1)&&(State_6_9==1)))||((State_1_5==1)&&(State_2_14==1)))||((State_5_1==1)&&(State_6_6==1)))||((State_4_3==1)&&(State_5_7==1)))||((State_4_6==1)&&(State_5_7==1)))||((State_4_15==1)&&(State_3_14==1)))||((State_1_4==1)&&(State_2_6==1)))||((State_15_1==1)&&(State_14_0==1)))||((State_7_14==1)&&(State_6_12==1)))||((State_8_14==1)&&(State_7_6==1)))||((State_11_6==1)&&(State_12_8==1)))||((State_7_4==1)&&(State_6_7==1)))||((State_8_4==1)&&(State_7_8==1)))||((State_1_9==1)&&(State_2_5==1)))||((State_12_10==1)&&(State_13_1==1)))||((State_0_14==1)&&(State_1_3==1)))||((State_2_1==1)&&(State_1_0==1)))||((State_12_4==1)&&(State_11_10==1)))||((State_15_13==1)&&(State_14_9==1)))||((State_5_13==1)&&(State_6_15==1)))||((State_5_4==1)&&(State_4_8==1)))||((State_14_10==1)&&(State_13_14==1)))||((State_12_5==1)&&(State_13_7==1)))||((State_12_10==1)&&(State_11_9==1)))||((State_0_1==1)&&(State_1_11==1)))||((State_3_7==1)&&(State_2_8==1)))||((State_5_12==1)&&(State_6_13==1)))||((State_4_15==1)&&(State_3_2==1)))||((State_10_5==1)&&(State_11_9==1)))||((State_14_15==1)&&(State_15_5==1)))||((State_2_15==1)&&(State_1_13==1)))||((State_12_6==1)&&(State_13_12==1)))||((State_7_2==1)&&(State_8_11==1)))||((State_1_1==1)&&(State_0_12==1)))||((State_8_13==1)&&(State_9_12==1)))||((State_2_6==1)&&(State_3_12==1)))||((State_7_4==1)&&(State_8_0==1)))||((State_8_8==1)&&(State_9_9==1)))||((State_8_5==1)&&(State_9_9==1)))||((State_3_0==1)&&(State_4_13==1)))||((State_9_13==1)&&(State_10_8==1)))||((State_4_7==1)&&(State_3_8==1)))||((State_12_8==1)&&(State_13_4==1)))||((State_8_8==1)&&(State_9_1==1)))||((State_5_13==1)&&(State_4_14==1)))||((State_4_13==1)&&(State_5_6==1)))||((State_4_3==1)&&(State_5_13==1)))||((State_6_8==1)&&(State_7_3==1)))||((State_6_2==1)&&(State_7_9==1)))||((State_8_10==1)&&(State_9_11==1)))||((State_6_5==1)&&(State_7_10==1)))||((State_8_13==1)&&(State_7_4==1)))||((State_4_6==1)&&(State_5_11==1)))||((State_5_14==1)&&(State_4_5==1)))||((State_7_14==1)&&(State_6_8==1)))||((State_3_9==1)&&(State_2_12==1)))||((State_11_6==1)&&(State_12_2==1)))||((State_1_10==1)&&(State_0_13==1)))||((State_3_7==1)&&(State_2_5==1)))||((State_3_0==1)&&(State_2_15==1)))||((State_9_1==1)&&(State_8_12==1)))||((State_9_11==1)&&(State_10_12==1)))||((State_6_5==1)&&(State_5_8==1)))||((State_3_7==1)&&(State_4_8==1)))||((State_13_10==1)&&(State_14_11==1)))||((State_8_6==1)&&(State_9_12==1)))||((State_1_11==1)&&(State_0_0==1)))||((State_1_4==1)&&(State_2_2==1)))||((State_10_11==1)&&(State_9_9==1)))||((State_4_1==1)&&(State_5_11==1)))||((State_15_1==1)&&(State_14_13==1)))||((State_11_5==1)&&(State_12_13==1)))||((State_3_4==1)&&(State_4_1==1)))||((State_6_5==1)&&(State_7_4==1)))||((State_12_15==1)&&(State_11_9==1)))||((State_14_12==1)&&(State_13_4==1)))||((State_14_11==1)&&(State_15_2==1)))||((State_15_10==1)&&(State_14_15==1)))||((State_8_0==1)&&(State_9_4==1)))||((State_7_4==1)&&(State_8_3==1)))||((State_14_11==1)&&(State_15_0==1)))||((State_3_8==1)&&(State_2_12==1)))||((State_15_7==1)&&(State_14_10==1)))||((State_8_4==1)&&(State_9_13==1)))||((State_3_15==1)&&(State_4_4==1)))||((State_3_1==1)&&(State_4_7==1)))||((State_1_10==1)&&(State_2_4==1)))||((State_11_8==1)&&(State_10_2==1)))||((State_4_1==1)&&(State_5_7==1)))||((State_3_2==1)&&(State_2_9==1)))||((State_12_15==1)&&(State_13_1==1)))||((State_2_6==1)&&(State_3_13==1)))||((State_9_2==1)&&(State_8_9==1)))||((State_10_7==1)&&(State_9_4==1)))||((State_7_13==1)&&(State_8_9==1)))||((State_1_10==1)&&(State_0_0==1)))||((State_12_1==1)&&(State_11_14==1)))||((State_14_7==1)&&(State_13_3==1)))||((State_5_12==1)&&(State_6_7==1)))||((State_5_9==1)&&(State_4_1==1)))||((State_0_1==1)&&(State_1_6==1)))||((State_1_9==1)&&(State_0_12==1)))||((State_11_6==1)&&(State_12_3==1)))||((State_1_6==1)&&(State_0_7==1)))||((State_1_11==1)&&(State_0_13==1)))||((State_10_10==1)&&(State_9_5==1)))||((State_4_1==1)&&(State_5_13==1)))||((State_14_8==1)&&(State_13_0==1)))||((State_10_4==1)&&(State_9_9==1)))||((State_13_12==1)&&(State_12_13==1)))||((State_5_9==1)&&(State_6_13==1)))||((State_5_3==1)&&(State_6_6==1)))||((State_3_4==1)&&(State_2_1==1)))||((State_8_15==1)&&(State_9_3==1)))||((State_15_5==1)&&(State_14_3==1)))||((State_10_7==1)&&(State_11_5==1)))||((State_5_15==1)&&(State_6_10==1)))||((State_15_7==1)&&(State_14_11==1)))||((State_14_15==1)&&(State_15_4==1)))||((State_13_7==1)&&(State_14_0==1)))||((State_9_5==1)&&(State_8_3==1)))||((State_13_15==1)&&(State_12_14==1)))||((State_2_0==1)&&(State_1_13==1)))||((State_6_8==1)&&(State_5_14==1)))||((State_5_2==1)&&(State_4_4==1)))||((State_14_9==1)&&(State_13_14==1)))||((State_0_11==1)&&(State_1_3==1)))||((State_11_13==1)&&(State_10_12==1)))||((State_11_10==1)&&(State_12_14==1)))||((State_10_3==1)&&(State_11_9==1)))||((State_8_8==1)&&(State_7_9==1)))||((State_2_13==1)&&(State_3_3==1)))||((State_1_14==1)&&(State_0_13==1)))||((State_3_15==1)&&(State_4_2==1)))||((State_14_5==1)&&(State_15_9==1)))||((State_2_11==1)&&(State_3_14==1)))||((State_1_1==1)&&(State_2_8==1)))||((State_1_8==1)&&(State_0_12==1)))||((State_5_8==1)&&(State_6_10==1)))||((State_6_2==1)&&(State_7_7==1)))||((State_14_14==1)&&(State_15_13==1)))||((State_3_4==1)&&(State_2_14==1)))||((State_10_10==1)&&(State_9_3==1)))||((State_2_6==1)&&(State_3_10==1)))||((State_8_5==1)&&(State_7_9==1)))||((State_0_2==1)&&(State_1_13==1)))||((State_15_1==1)&&(State_14_6==1)))||((State_12_2==1)&&(State_11_5==1)))||((State_9_8==1)&&(State_8_9==1)))||((State_15_13==1)&&(State_14_10==1)))||((State_14_2==1)&&(State_15_9==1)))||((State_9_5==1)&&(State_8_0==1)))||((State_12_11==1)&&(State_13_14==1)))||((State_0_6==1)&&(State_1_3==1)))||((State_11_3==1)&&(State_12_6==1)))||((State_9_13==1)&&(State_8_6==1)))||((State_12_3==1)&&(State_13_0==1)))||((State_7_14==1)&&(State_8_9==1)))||((State_4_15==1)&&(State_5_0==1)))||((State_1_5==1)&&(State_2_1==1)))||((State_2_11==1)&&(State_3_2==1)))||((State_1_1==1)&&(State_2_5==1)))||((State_11_12==1)&&(State_10_6==1)))||((State_13_11==1)&&(State_14_12==1)))||((State_10_9==1)&&(State_9_4==1)))||((State_14_7==1)&&(State_13_6==1)))||((State_10_13==1)&&(State_9_2==1)))||((State_12_2==1)&&(State_11_8==1)))||((State_10_0==1)&&(State_11_2==1)))||((State_8_8==1)&&(State_7_2==1)))||((State_2_14==1)&&(State_1_0==1)))||((State_13_12==1)&&(State_12_4==1)))||((State_14_15==1)&&(State_13_4==1)))||((State_6_14==1)&&(State_5_11==1)))||((State_7_13==1)&&(State_6_8==1)))||((State_2_0==1)&&(State_1_12==1)))||((State_12_11==1)&&(State_11_0==1)))||((State_9_3==1)&&(State_10_12==1)))||((State_4_12==1)&&(State_5_6==1)))||((State_14_1==1)&&(State_15_8==1)))||((State_3_0==1)&&(State_4_14==1)))||((State_2_13==1)&&(State_1_7==1)))||((State_10_13==1)&&(State_9_14==1)))||((State_4_4==1)&&(State_5_1==1)))||((State_6_14==1)&&(State_5_13==1)))||((State_3_3==1)&&(State_4_5==1)))||((State_5_5==1)&&(State_4_13==1)))||((State_8_13==1)&&(State_9_10==1)))||((State_13_12==1)&&(State_12_9==1)))||((State_1_11==1)&&(State_0_6==1)))||((State_9_5==1)&&(State_10_1==1)))||((State_6_14==1)&&(State_5_7==1)))||((State_1_14==1)&&(State_0_0==1)))||((State_12_2==1)&&(State_11_7==1)))||((State_12_5==1)&&(State_13_11==1)))||((State_13_10==1)&&(State_14_9==1)))||((State_10_15==1)&&(State_9_9==1)))||((State_4_15==1)&&(State_5_9==1)))||((State_8_7==1)&&(State_7_11==1)))||((State_1_11==1)&&(State_2_1==1)))||((State_4_4==1)&&(State_5_7==1)))||((State_13_12==1)&&(State_14_6==1)))||((State_5_0==1)&&(State_4_1==1)))||((State_1_4==1)&&(State_0_7==1)))||((State_1_10==1)&&(State_0_15==1)))||((State_10_0==1)&&(State_11_14==1)))||((State_4_15==1)&&(State_5_12==1)))||((State_14_1==1)&&(State_15_11==1)))||((State_7_10==1)&&(State_6_4==1)))||((State_3_15==1)&&(State_2_6==1)))||((State_11_3==1)&&(State_12_8==1)))||((State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tate_7_12==1)&&(State_6_15==1)))||((State_7_14==1)&&(State_6_3==1)))||((State_11_2==1)&&(State_12_4==1)))||((State_10_15==1)&&(State_9_3==1)))||((State_10_2==1)&&(State_11_4==1)))||((State_2_13==1)&&(State_3_4==1)))||((State_15_10==1)&&(State_14_8==1)))||((State_5_9==1)&&(State_4_11==1)))||((State_11_10==1)&&(State_12_13==1)))||((State_12_15==1)&&(State_13_0==1)))||((State_5_14==1)&&(State_6_6==1)))||((State_7_4==1)&&(State_6_12==1)))||((State_8_4==1)&&(State_7_0==1)))||((State_14_8==1)&&(State_15_2==1)))||((State_5_15==1)&&(State_4_4==1)))||((State_13_15==1)&&(State_12_9==1)))||((State_1_11==1)&&(State_0_7==1)))||((State_1_9==1)&&(State_0_10==1)))||((State_3_15==1)&&(State_2_2==1)))||((State_12_5==1)&&(State_13_12==1)))||((State_2_6==1)&&(State_3_8==1)))||((State_4_15==1)&&(State_3_10==1)))||((State_10_3==1)&&(State_9_11==1)))||((State_7_10==1)&&(State_8_6==1)))||((State_4_12==1)&&(State_5_7==1)))||((State_1_4==1)&&(State_2_14==1)))||((State_9_3==1)&&(State_10_4==1)))||((State_8_10==1)&&(State_9_3==1)))||((State_1_14==1)&&(State_2_11==1)))||((State_12_8==1)&&(State_11_0==1)))||((State_10_15==1)&&(State_11_10==1)))||((State_11_4==1)&&(State_12_13==1)))||((State_8_14==1)&&(State_7_9==1)))||((State_2_8==1)&&(State_3_13==1)))||((State_2_13==1)&&(State_3_15==1)))||((State_15_10==1)&&(State_14_4==1)))||((State_9_7==1)&&(State_10_11==1)))||((State_8_10==1)&&(State_7_15==1)))||((State_8_7==1)&&(State_7_4==1)))||((State_7_4==1)&&(State_6_8==1)))||((State_4_15==1)&&(State_3_9==1)))||((State_7_14==1)&&(State_6_5==1)))||((State_4_11==1)&&(State_5_14==1)))||((State_6_5==1)&&(State_5_0==1)))||((State_1_4==1)&&(State_2_1==1)))||((State_14_4==1)&&(State_13_3==1)))||((State_12_10==1)&&(State_13_14==1)))||((State_8_9==1)&&(State_9_3==1)))||((State_11_12==1)&&(State_10_2==1)))||((State_11_2==1)&&(State_12_13==1)))||((State_5_3==1)&&(State_6_7==1)))||((State_6_5==1)&&(State_5_9==1)))||((State_4_12==1)&&(State_5_11==1)))||((State_8_7==1)&&(State_9_12==1)))||((State_10_8==1)&&(State_9_9==1)))||((State_8_1==1)&&(State_9_13==1)))||((State_9_14==1)&&(State_10_4==1)))||((State_12_1==1)&&(State_11_0==1)))||((State_1_9==1)&&(State_2_15==1)))||((State_13_15==1)&&(State_12_4==1)))||((State_2_0==1)&&(State_3_7==1)))||((State_6_4==1)&&(State_7_0==1)))||((State_9_6==1)&&(State_10_2==1)))||((State_9_0==1)&&(State_8_9==1)))||((State_8_9==1)&&(State_7_15==1)))||((State_3_0==1)&&(State_2_12==1)))||((State_7_13==1)&&(State_6_6==1)))||((State_3_8==1)&&(State_4_1==1)))||((State_10_6==1)&&(State_11_1==1)))||((State_3_1==1)&&(State_2_8==1)))||((State_12_8==1)&&(State_13_14==1)))||((State_10_15==1)&&(State_9_5==1)))||((State_9_0==1)&&(State_10_13==1)))||((State_10_7==1)&&(State_11_2==1)))||((State_1_3==1)&&(State_2_1==1)))||((State_12_2==1)&&(State_13_1==1)))||((State_3_1==1)&&(State_4_8==1)))||((State_12_3==1)&&(State_11_5==1)))||((State_5_15==1)&&(State_4_2==1)))||((State_6_11==1)&&(State_5_9==1)))||((State_14_12==1)&&(State_15_11==1)))||((State_3_6==1)&&(State_4_5==1)))||((State_1_8==1)&&(State_2_1==1)))||((State_2_15==1)&&(State_3_5==1)))||((State_11_2==1)&&(State_12_10==1)))||((State_6_3==1)&&(State_7_8==1)))||((State_3_1==1)&&(State_2_11==1)))||((State_5_7==1)&&(State_4_2==1)))||((State_11_12==1)&&(State_10_14==1)))||((State_12_5==1)&&(State_11_8==1)))||((State_14_7==1)&&(State_15_9==1)))||((State_8_5==1)&&(State_9_15==1)))||((State_4_0==1)&&(State_3_3==1)))||((State_15_10==1)&&(State_14_1==1)))||((State_11_6==1)&&(State_10_4==1)))||((State_6_8==1)&&(State_7_11==1)))||((State_4_15==1)&&(State_3_12==1)))||((State_2_7==1)&&(State_1_13==1)))||((State_12_8==1)&&(State_13_7==1)))||((State_6_10==1)&&(State_7_8==1)))||((State_14_4==1)&&(State_13_1==1)))||((State_6_2==1)&&(State_7_15==1)))||((State_10_0==1)&&(State_11_4==1)))||((State_13_12==1)&&(State_14_10==1)))||((State_9_2==1)&&(State_8_6==1)))||((State_14_9==1)&&(State_15_15==1)))||((State_10_10==1)&&(State_11_2==1)))||((State_14_8==1)&&(State_15_12==1)))||((State_5_12==1)&&(State_4_10==1)))||((State_9_0==1)&&(State_8_14==1)))||((State_9_13==1)&&(State_8_2==1)))||((State_12_1==1)&&(State_11_13==1)))||((State_7_6==1)&&(State_8_3==1)))||((State_8_12==1)&&(State_9_8==1)))||((State_1_7==1)&&(State_0_3==1)))||((State_6_5==1)&&(State_7_15==1)))||((State_7_4==1)&&(State_8_15==1)))||((State_8_7==1)&&(State_7_10==1)))||((State_8_1==1)&&(State_7_8==1)))||((State_13_7==1)&&(State_14_3==1)))||((State_3_3==1)&&(State_2_12==1)))||((State_0_5==1)&&(State_1_14==1)))||((State_1_15==1)&&(State_2_5==1)))||((State_9_13==1)&&(State_10_11==1)))||((State_3_12==1)&&(State_4_8==1)))||((State_13_10==1)&&(State_14_2==1)))||((State_2_12==1)&&(State_1_0==1)))||((State_12_4==1)&&(State_13_14==1)))||((State_0_3==1)&&(State_1_8==1)))||((State_6_7==1)&&(State_7_15==1)))||((State_11_7==1)&&(State_10_12==1)))||((State_9_7==1)&&(State_8_2==1)))||((State_2_8==1)&&(State_1_3==1)))||((State_8_15==1)&&(State_9_9==1)))||((State_1_4==1)&&(State_0_2==1)))||((State_3_13==1)&&(State_2_9==1)))||((State_6_8==1)&&(State_7_1==1)))||((State_3_11==1)&&(State_4_10==1)))||((State_8_14==1)&&(State_9_9==1)))||((State_3_4==1)&&(State_2_3==1)))||((State_13_9==1)&&(State_12_4==1)))||((State_9_13==1)&&(State_10_4==1)))||((State_7_7==1)&&(State_8_3==1)))||((State_2_2==1)&&(State_3_13==1)))||((State_1_7==1)&&(State_0_15==1)))||((State_14_2==1)&&(State_13_11==1)))||((State_1_15==1)&&(State_0_12==1)))||((State_7_1==1)&&(State_6_15==1)))||((State_10_1==1)&&(State_11_9==1)))||((State_2_0==1)&&(State_3_2==1)))||((State_14_3==1)&&(State_15_8==1)))||((State_10_13==1)&&(State_9_11==1)))||((State_4_15==1)&&(State_5_10==1)))||((State_3_15==1)&&(State_4_7==1)))||((State_6_8==1)&&(State_5_4==1)))||((State_11_11==1)&&(State_10_12==1)))||((State_0_1==1)&&(State_1_13==1)))||((State_10_2==1)&&(State_11_13==1)))||((State_6_4==1)&&(State_5_6==1)))||((State_12_6==1)&&(State_13_4==1)))||((State_2_0==1)&&(State_3_14==1)))||((State_7_4==1)&&(State_6_15==1)))||((State_10_6==1)&&(State_11_0==1)))||((State_11_13==1)&&(State_10_4==1)))||((State_12_5==1)&&(State_11_7==1)))||((State_3_14==1)&&(State_2_1==1)))||((State_10_6==1)&&(State_9_12==1)))||((State_10_14==1)&&(State_9_9==1)))||((State_3_4==1)&&(State_2_9==1)))||((State_4_12==1)&&(State_5_4==1)))||((State_11_10==1)&&(State_12_9==1)))||((State_14_2==1)&&(State_15_1==1)))||((State_5_2==1)&&(State_4_9==1)))||((State_9_7==1)&&(State_10_4==1)))||((State_1_11==1)&&(State_0_2==1)))||((State_3_9==1)&&(State_4_5==1)))||((State_14_14==1)&&(State_15_9==1)))||((State_14_15==1)&&(State_15_13==1)))||((State_2_10==1)&&(State_1_6==1)))||((State_2_0==1)&&(State_3_5==1)))||((State_5_5==1)&&(State_4_9==1)))||((State_14_2==1)&&(State_15_0==1)))||((State_2_13==1)&&(State_1_6==1)))||((State_0_5==1)&&(State_1_15==1)))||((State_11_1==1)&&(State_12_14==1)))||((State_3_1==1)&&(State_4_3==1)))||((State_12_11==1)&&(State_13_13==1)))||((State_8_10==1)&&(State_9_15==1)))||((State_12_6==1)&&(State_11_15==1)))||((State_2_15==1)&&(State_1_0==1)))||((State_1_1==1)&&(State_2_15==1)))||((State_9_15==1)&&(State_8_11==1)))||((State_1_2==1)&&(State_0_0==1)))||((State_3_8==1)&&(State_2_1==1)))||((State_10_7==1)&&(State_9_2==1)))||((State_12_15==1)&&(State_13_9==1)))||((State_6_1==1)&&(State_7_6==1)))||((State_6_12==1)&&(State_7_6==1)))||((State_14_3==1)&&(State_15_14==1)))||((State_4_12==1)&&(State_3_11==1)))||((State_9_14==1)&&(State_8_15==1)))||((State_7_1==1)&&(State_8_15==1)))||((State_15_6==1)&&(State_14_15==1)))||((State_2_0==1)&&(State_1_15==1)))||((State_13_9==1)&&(State_12_13==1)))||((State_2_11==1)&&(State_3_13==1)))||((State_2_8==1)&&(State_3_10==1)))||((State_13_3==1)&&(State_14_6==1)))||((State_7_14==1)&&(State_8_15==1)))||((State_14_14==1)&&(State_15_8==1)))||((State_5_9==1)&&(State_4_2==1)))||((State_2_3==1)&&(State_3_8==1)))||((State_3_2==1)&&(State_4_14==1)))||((State_0_8==1)&&(State_1_2==1)))||((State_11_8==1)&&(State_12_0==1)))||((State_8_11==1)&&(State_9_4==1)))||((State_9_0==1)&&(State_10_11==1)))||((State_11_6==1)&&(State_10_11==1)))||((State_4_8==1)&&(State_5_1==1)))||((State_9_1==1)&&(State_10_5==1)))||((State_1_14==1)&&(State_0_2==1)))||((State_5_15==1)&&(State_4_11==1)))||((State_14_7==1)&&(State_15_8==1)))||((State_12_12==1)&&(State_13_0==1)))||((State_12_15==1)&&(State_13_3==1)))||((State_3_0==1)&&(State_2_9==1)))||((State_5_8==1)&&(State_6_4==1)))||((State_14_2==1)&&(State_13_7==1)))||((State_5_3==1)&&(State_4_1==1)))||((State_14_1==1)&&(State_13_12==1)))||((State_14_8==1)&&(State_13_14==1)))||((State_13_12==1)&&(State_14_9==1)))||((State_14_9==1)&&(State_13_0==1)))||((State_2_10==1)&&(State_1_11==1)))||((State_10_2==1)&&(State_9_11==1)))||((State_2_14==1)&&(State_1_13==1)))||((State_10_7==1)&&(State_9_14==1)))||((State_0_6==1)&&(State_1_0==1)))||((State_5_12==1)&&(State_4_13==1)))||((State_8_0==1)&&(State_7_15==1)))||((State_12_2==1)&&(State_13_3==1)))||((State_12_11==1)&&(State_13_15==1)))||((State_8_12==1)&&(State_7_11==1)))||((State_11_12==1)&&(State_10_15==1)))||((State_9_0==1)&&(State_8_2==1)))||((State_9_15==1)&&(State_10_12==1)))||((State_3_8==1)&&(State_2_14==1)))||((State_12_2==1)&&(State_13_9==1)))||((State_4_4==1)&&(State_5_6==1)))||((State_7_4==1)&&(State_8_14==1)))||((State_9_0==1)&&(State_10_4==1)))||((State_15_9==1)&&(State_14_3==1)))||((State_8_14==1)&&(State_7_0==1)))||((State_14_13==1)&&(State_15_11==1)))||((State_2_13==1)&&(State_1_11==1)))||((State_2_0==1)&&(State_1_14==1)))||((State_3_12==1)&&(State_2_8==1)))||((State_14_0==1)&&(State_15_8==1)))||((State_10_0==1)&&(State_11_13==1)))||((State_7_6==1)&&(State_8_0==1)))||((State_7_9==1)&&(State_6_10==1)))||((State_4_15==1)&&(State_3_13==1)))||((State_4_11==1)&&(State_3_10==1)))||((State_4_12==1)&&(State_5_15==1)))||((State_8_5==1)&&(State_7_15==1)))||((State_6_2==1)&&(State_5_0==1)))||((State_14_10==1)&&(State_15_3==1)))||((State_5_9==1)&&(State_4_4==1)))||((State_2_15==1)&&(State_3_7==1)))||((State_8_4==1)&&(State_9_6==1)))||((State_4_6==1)&&(State_5_4==1)))||((State_7_14==1)&&(State_8_1==1)))||((State_1_0==1)&&(State_2_9==1)))||((State_7_9==1)&&(State_8_11==1)))||((State_1_15==1)&&(State_2_8==1)))||((State_10_3==1)&&(State_11_4==1)))||((State_1_2==1)&&(State_0_13==1)))||((State_6_2==1)&&(State_5_9==1)))||((State_3_12==1)&&(State_2_5==1)))||((State_7_14==1)&&(State_6_15==1)))||((State_12_4==1)&&(State_11_0==1)))||((State_3_10==1)&&(State_4_2==1)))||((State_4_3==1)&&(State_3_0==1)))||((State_1_4==1)&&(State_0_5==1)))||((State_3_11==1)&&(State_4_13==1)))||((State_0_1==1)&&(State_1_12==1)))||((State_0_5==1)&&(State_1_0==1)))||((State_11_11==1)&&(State_10_6==1)))||((State_14_11==1)&&(State_13_1==1)))||((State_5_12==1)&&(State_6_15==1)))||((State_12_2==1)&&(State_13_6==1)))||((State_6_4==1)&&(State_7_12==1)))||((State_8_5==1)&&(State_9_3==1)))||((State_4_6==1)&&(State_3_11==1)))||((State_12_11==1)&&(State_13_8==1)))||((State_12_12==1)&&(State_11_15==1)))||((State_10_3==1)&&(State_11_11==1)))||((State_1_3==1)&&(State_0_12==1)))||((State_6_10==1)&&(State_5_11==1)))||((State_5_12==1)&&(State_4_14==1)))||((State_10_9==1)&&(State_9_14==1)))||((State_8_1==1)&&(State_9_9==1)))||((State_9_11==1)&&(State_10_4==1)))||((State_2_4==1)&&(State_3_11==1)))||((State_4_6==1)&&(State_3_7==1)))||((State_2_13==1)&&(State_3_1==1)))||((State_13_2==1)&&(State_14_12==1)))||((State_8_15==1)&&(State_9_11==1)))||((State_9_6==1)&&(State_8_11==1)))||((State_12_6==1)&&(State_11_9==1)))||((State_1_1==1)&&(State_0_9==1)))||((State_3_7==1)&&(State_4_5==1)))||((State_3_4==1)&&(State_4_10==1)))||((State_12_12==1)&&(State_13_8==1)))||((State_5_5==1)&&(State_4_11==1)))||((State_5_3==1)&&(State_4_5==1)))||((State_6_8==1)&&(State_7_7==1)))||((State_14_12==1)&&(State_13_15==1)))||((State_4_0==1)&&(State_3_14==1)))||((State_0_6==1)&&(State_1_15==1)))||((State_10_9==1)&&(State_9_2==1)))||((State_5_2==1)&&(State_4_6==1)))||((State_14_1==1)&&(State_15_2==1)))||((State_13_5==1)&&(State_14_10==1)))||((State_12_14==1)&&(State_13_1==1)))||((State_11_12==1)&&(State_12_10==1)))||((State_1_1==1)&&(State_2_12==1)))||((State_11_2==1)&&(State_10_14==1)))||((State_1_4==1)&&(State_0_11==1)))||((State_14_1==1)&&(State_15_0==1)))||((State_9_2==1)&&(State_10_8==1)))||((State_2_2==1)&&(State_1_13==1)))||((State_5_8==1)&&(State_4_2==1)))||((State_6_5==1)&&(State_7_6==1)))||((State_12_11==1)&&(State_13_12==1)))||((State_12_5==1)&&(State_13_15==1)))||((State_4_0==1)&&(State_5_9==1)))||((State_9_0==1)&&(State_10_7==1)))||((State_4_3==1)&&(State_3_7==1)))||((State_6_10==1)&&(State_5_7==1)))||((State_4_12==1)&&(State_5_3==1)))||((State_1_7==1)&&(State_0_13==1)))||((State_10_6==1)&&(State_9_15==1)))||((State_5_2==1)&&(State_4_5==1)))||((State_13_5==1)&&(State_14_9==1)))||((State_1_9==1)&&(State_2_12==1)))||((State_12_8==1)&&(State_11_4==1)))||((State_9_8==1)&&(State_10_1==1)))||((State_10_2==1)&&(State_11_1==1)))||((State_14_7==1)&&(State_15_13==1)))||((State_4_0==1)&&(State_3_2==1)))||((State_2_11==1)&&(State_3_10==1)))||((State_3_0==1)&&(State_2_4==1)))||((State_1_1==1)&&(State_2_10==1)))||((State_6_4==1)&&(State_7_5==1)))||((State_11_6==1)&&(State_10_12==1)))||((State_3_3==1)&&(State_4_11==1)))||((State_3_4==1)&&(State_2_15==1)))||((State_14_1==1)&&(State_13_7==1)))||((State_0_2==1)&&(State_1_3==1)))||((State_4_1==1)&&(State_3_13==1)))||((State_3_13==1)&&(State_4_10==1)))||((State_15_5==1)&&(State_14_8==1)))||((State_12_15==1)&&(State_11_14==1)))||((State_2_10==1)&&(State_3_2==1)))||((State_9_6==1)&&(State_10_12==1)))||((State_5_15==1)&&(State_4_0==1)))||((State_3_1==1)&&(State_4_14==1)))||((State_11_7==1)&&(State_10_5==1)))||((State_15_5==1)&&(State_14_4==1)))||((State_15_4==1)&&(State_14_3==1)))||((State_13_10==1)&&(State_12_12==1)))||((State_12_6==1)&&(State_13_1==1)))||((State_8_11==1)&&(State_9_12==1)))||((State_6_9==1)&&(State_5_1==1)))||((State_5_2==1)&&(State_4_15==1)))||((State_12_2==1)&&(State_13_8==1)))||((State_7_13==1)&&(State_6_0==1)))||((State_8_14==1)&&(State_9_6==1)))||((State_3_11==1)&&(State_2_9==1)))||((State_2_10==1)&&(State_3_14==1)))||((State_5_10==1)&&(State_6_0==1)))||((State_9_7==1)&&(State_8_11==1)))||((State_1_7==1)&&(State_0_0==1)))||((State_9_4==1)&&(State_8_3==1)))||((State_10_15==1)&&(State_9_10==1)))||((State_1_14==1)&&(State_2_6==1)))||((State_6_14==1)&&(State_5_3==1)))||((State_13_10==1)&&(State_14_3==1)))||((State_4_6==1)&&(State_5_1==1)))||((State_4_7==1)&&(State_3_3==1)))||((State_13_10==1)&&(State_14_14==1)))||((State_4_13==1)&&(State_5_14==1)))||((State_12_7==1)&&(State_11_14==1)))||((State_8_6==1)&&(State_9_9==1)))||((State_8_1==1)&&(State_7_0==1)))||((State_6_4==1)&&(State_7_8==1)))||((State_12_8==1)&&(State_11_13==1)))||((State_14_15==1)&&(State_13_14==1)))||((State_13_9==1)&&(State_12_14==1)))||((State_3_7==1)&&(State_2_2==1)))||((State_4_1==1)&&(State_3_10==1)))||((State_10_6==1)&&(State_9_3==1)))||((State_13_2==1)&&(State_14_10==1)))||((State_8_7==1)&&(State_9_5==1)))||((State_4_3==1)&&(State_5_8==1)))||((State_14_8==1)&&(State_15_9==1)))||((State_4_6==1)&&(State_5_8==1)))||((State_1_15==1)&&(State_2_9==1)))||((State_10_9==1)&&(State_9_13==1)))||((State_8_4==1)&&(State_7_1==1)))||((State_5_9==1)&&(State_6_6==1)))||((State_2_13==1)&&(State_3_12==1)))||((State_1_6==1)&&(State_0_3==1)))||((State_1_9==1)&&(State_2_10==1)))||((State_6_8==1)&&(State_7_9==1)))||((State_12_2==1)&&(State_13_13==1)))||((State_1_6==1)&&(State_0_15==1)))||((State_10_3==1)&&(State_11_14==1)))||((State_10_5==1)&&(State_9_3==1)))||((State_11_15==1)&&(State_10_4==1)))||((State_8_8==1)&&(State_9_10==1)))||((State_3_0==1)&&(State_4_2==1)))||((State_3_1==1)&&(State_4_13==1)))||((State_13_5==1)&&(State_14_12==1)))||((State_14_14==1)&&(State_15_0==1)))||((State_12_2==1)&&(State_13_15==1)))||((State_11_12==1)&&(State_10_10==1)))||((State_13_11==1)&&(State_14_15==1)))||((State_6_8==1)&&(State_5_7==1)))||((State_14_14==1)&&(State_15_1==1)))||((State_10_15==1)&&(State_9_12==1)))||((State_2_6==1)&&(State_3_11==1)))||((State_1_4==1)&&(State_2_8==1)))||((State_6_8==1)&&(State_5_13==1)))||((State_8_5==1)&&(State_9_10==1)))||((State_2_1==1)&&(State_1_13==1)))||((State_9_0==1)&&(State_8_15==1)))||((State_5_12==1)&&(State_6_3==1)))||((State_12_15==1)&&(State_11_11==1)))||((State_9_7==1)&&(State_10_12==1)))||((State_7_14==1)&&(State_8_8==1)))||((State_10_0==1)&&(State_9_1==1)))||((State_9_11==1)&&(State_8_2==1)))||((State_0_4==1)&&(State_1_5==1)))||((State_11_15==1)&&(State_10_11==1)))||((State_10_13==1)&&(State_11_11==1)))||((State_3_1==1)&&(State_2_15==1)))||((State_2_0==1)&&(State_3_8==1)))||((State_9_1==1)&&(State_8_9==1)))||((State_10_0==1)&&(State_9_9==1)))||((State_13_6==1)&&(State_12_9==1)))||((State_7_12==1)&&(State_8_9==1)))||((State_8_9==1)&&(State_9_12==1)))||((State_12_5==1)&&(State_13_13==1)))||((State_4_12==1)&&(State_3_0==1)))||((State_3_15==1)&&(State_4_0==1)))||((State_10_15==1)&&(State_11_0==1)))||((State_11_8==1)&&(State_12_7==1)))||((State_8_7==1)&&(State_9_3==1)))||((State_2_5==1)&&(State_3_2==1)))||((State_4_3==1)&&(State_5_1==1)))||((State_9_13==1)&&(State_8_12==1)))||((State_5_8==1)&&(State_4_4==1)))||((State_8_14==1)&&(State_7_12==1)))||((State_8_8==1)&&(State_9_15==1)))||((State_5_4==1)&&(State_4_5==1)))||((State_8_13==1)&&(State_9_4==1)))||((State_14_11==1)&&(State_13_12==1)))||((State_12_14==1)&&(State_11_9==1)))||((State_8_4==1)&&(State_7_11==1)))||((State_13_13==1)&&(State_14_6==1)))||((State_6_8==1)&&(State_5_11==1)))||((State_10_3==1)&&(State_9_8==1)))||((State_15_6==1)&&(State_14_8==1)))||((State_1_4==1)&&(State_2_5==1)))||((State_3_0==1)&&(State_4_4==1)))||((State_5_5==1)&&(State_6_0==1)))||((State_12_1==1)&&(State_11_10==1)))||((State_1_3==1)&&(State_2_5==1)))||((State_8_10==1)&&(State_9_4==1)))||((State_1_10==1)&&(State_2_6==1)))||((State_9_14==1)&&(State_10_5==1)))||((State_2_10==1)&&(State_1_5==1)))||((State_13_2==1)&&(State_14_9==1)))||((State_12_1==1)&&(State_13_2==1)))||((State_2_13==1)&&(State_1_4==1)))||((State_0_5==1)&&(State_1_8==1)))||((State_6_13==1)&&(State_7_8==1)))||((State_12_5==1)&&(State_13_8==1)))||((State_3_10==1)&&(State_2_9==1)))||((State_9_15==1)&&(State_10_4==1)))||((State_9_0==1)&&(State_8_1==1)))||((State_5_1==1)&&(State_4_10==1)))||((State_1_3==1)&&(State_0_7==1)))||((State_14_13==1)&&(State_15_12==1)))||((State_11_6==1)&&(State_10_5==1)))||((State_9_1==1)&&(State_10_11==1)))||((State_6_11==1)&&(State_5_0==1)))||((State_11_6==1)&&(State_10_9==1)))||((State_7_5==1)&&(State_6_0==1)))||((State_9_6==1)&&(State_10_5==1)))||((State_6_12==1)&&(State_5_0==1)))||((State_9_10==1)&&(State_8_12==1)))||((State_11_4==1)&&(State_12_9==1)))||((State_6_12==1)&&(State_5_9==1)))||((State_9_14==1)&&(State_10_12==1)))||((State_6_1==1)&&(State_5_9==1)))||((State_2_13==1)&&(State_1_10==1)))||((State_12_5==1)&&(State_11_3==1)))||((State_5_4==1)&&(State_6_7==1)))||((State_4_7==1)&&(State_5_0==1)))||((State_13_8==1)&&(State_14_6==1)))||((State_8_12==1)&&(State_9_11==1)))||((State_9_1==1)&&(State_8_2==1)))||((State_2_11==1)&&(State_1_3==1)))||((State_6_2==1)&&(State_7_10==1)))||((State_9_2==1)&&(State_10_1==1)))||((State_8_14==1)&&(State_9_2==1)))||((State_12_2==1)&&(State_11_9==1)))||((State_8_4==1)&&(State_7_2==1)))||((State_3_3==1)&&(State_4_4==1)))||((State_3_11==1)&&(State_2_12==1)))||((State_10_6==1)&&(State_9_5==1)))||((State_5_5==1)&&(State_4_4==1)))||((State_10_2==1)&&(State_11_0==1)))||((State_10_7==1)&&(State_11_9==1)))||((State_5_8==1)&&(State_6_6==1)))||((State_3_4==1)&&(State_4_14==1)))||((State_12_14==1)&&(State_13_6==1)))||((State_4_0==1)&&(State_3_5==1)))||((State_14_0==1)&&(State_15_12==1)))||((State_8_4==1)&&(State_7_7==1)))||((State_1_12==1)&&(State_2_14==1)))||((State_8_7==1)&&(State_7_15==1)))||((State_10_2==1)&&(State_9_12==1)))||((State_7_13==1)&&(State_8_11==1)))||((State_1_10==1)&&(State_2_2==1)))||((State_5_0==1)&&(State_4_8==1)))||((State_0_5==1)&&(State_1_7==1)))||((State_10_15==1)&&(State_11_1==1)))||((State_9_0==1)&&(State_10_12==1)))||((State_3_15==1)&&(State_4_5==1)))||((State_6_1==1)&&(State_5_0==1)))||((State_1_4==1)&&(State_0_12==1)))||((State_7_1==1)&&(State_8_11==1)))||((State_14_15==1)&&(State_15_8==1)))||((State_9_2==1)&&(State_8_0==1)))||((State_6_2==1)&&(State_5_8==1)))||((State_4_7==1)&&(State_3_14==1)))||((State_12_15==1)&&(State_13_5==1)))||((State_7_4==1)&&(State_8_9==1)))||((State_8_2==1)&&(State_9_12==1)))||((State_12_6==1)&&(State_13_9==1)))||((State_7_14==1)&&(State_6_1==1)))||((State_10_4==1)&&(State_11_9==1)))||((State_14_14==1)&&(State_13_7==1)))||((State_8_4==1)&&(State_9_8==1)))||((State_6_3==1)&&(State_5_14==1)))||((State_14_14==1)&&(State_15_2==1)))||((State_6_4==1)&&(State_5_10==1)))||((State_2_13==1)&&(State_1_3==1)))||((State_12_12==1)&&(State_13_1==1)))||((State_11_6==1)&&(State_10_7==1)))||((State_5_2==1)&&(State_6_4==1)))||((State_13_9==1)&&(State_12_0==1)))||((State_5_15==1)&&(State_4_9==1)))||((State_1_5==1)&&(State_0_10==1)))||((State_7_13==1)&&(State_6_10==1)))||((State_5_4==1)&&(State_6_13==1)))||((State_6_2==1)&&(State_7_4==1)))||((State_5_5==1)&&(State_4_2==1)))||((State_3_3==1)&&(State_4_2==1)))||((State_14_2==1)&&(State_15_11==1)))||((State_9_7==1)&&(State_10_5==1)))||((State_15_6==1)&&(State_14_1==1)))||((State_3_12==1)&&(State_2_11==1)))||((State_8_1==1)&&(State_9_6==1)))||((State_10_3==1)&&(State_9_9==1)))||((State_6_7==1)&&(State_5_1==1)))||((State_1_1==1)&&(State_2_9==1)))||((State_8_10==1)&&(State_9_5==1)))||((State_5_12==1)&&(State_4_8==1)))||((State_10_13==1)&&(State_11_14==1)))||((State_10_6==1)&&(State_11_10==1)))||((State_3_14==1)&&(State_2_5==1)))||((State_10_5==1)&&(State_9_4==1)))||((State_7_1==1)&&(State_6_10==1)))||((State_11_8==1)&&(State_12_13==1)))||((State_3_9==1)&&(State_4_0==1)))||((State_8_14==1)&&(State_7_5==1)))||((State_10_9==1)&&(State_11_2==1)))||((State_1_5==1)&&(State_2_15==1)))||((State_4_7==1)&&(State_5_9==1)))||((State_15_14==1)&&(State_14_6==1)))||((State_0_4==1)&&(State_1_15==1)))||((State_13_3==1)&&(State_14_10==1)))||((State_13_10==1)&&(State_14_15==1)))||((State_9_2==1)&&(State_8_3==1)))||((State_4_8==1)&&(State_3_14==1)))||((State_13_2==1)&&(State_14_11==1)))||((State_8_3==1)&&(State_7_8==1)))||((State_9_1==1)&&(State_8_14==1)))||((State_0_14==1)&&(State_1_13==1)))||((State_10_13==1)&&(State_9_8==1)))||((State_12_12==1)&&(State_11_9==1)))||((State_6_10==1)&&(State_5_6==1)))||((State_7_2==1)&&(State_6_6==1)))||((State_9_8==1)&&(State_8_0==1)))||((State_8_8==1)&&(State_7_10==1)))||((State_15_7==1)&&(State_14_15==1)))||((State_15_13==1)&&(State_14_3==1)))||((State_1_11==1)&&(State_2_2==1)))||((State_13_11==1)&&(State_12_12==1)))||((State_6_6==1)&&(State_7_15==1)))||((State_8_7==1)&&(State_9_15==1)))||((State_9_9==1)&&(State_8_3==1)))||((State_8_6==1)&&(State_7_7==1)))||((State_5_8==1)&&(State_4_9==1)))||((State_10_11==1)&&(State_11_9==1)))||((State_13_5==1)&&(State_14_0==1)))||((State_3_12==1)&&(State_2_1==1)))||((State_7_10==1)&&(State_6_6==1)))||((State_6_11==1)&&(State_5_2==1)))||((State_14_0==1)&&(State_13_14==1)))||((State_12_7==1)&&(State_11_4==1)))||((State_4_1==1)&&(State_5_14==1)))||((State_8_14==1)&&(State_7_8==1)))||((State_6_8==1)&&(State_7_0==1)))||((State_8_1==1)&&(State_7_12==1)))||((State_11_12==1)&&(State_10_0==1)))||((State_10_6==1)&&(State_11_5==1)))||((State_2_3==1)&&(State_3_11==1)))||((State_8_0==1)&&(State_9_12==1)))||((State_11_7==1)&&(State_10_11==1)))||((State_8_8==1)&&(State_7_4==1)))||((State_3_14==1)&&(State_2_8==1)))||((State_12_1==1)&&(State_13_7==1)))||((State_4_12==1)&&(State_3_8==1)))||((State_2_10==1)&&(State_3_3==1)))||((State_12_3==1)&&(State_13_13==1)))||((State_10_14==1)&&(State_9_8==1)))||((State_9_1==1)&&(State_10_4==1)))||((State_3_8==1)&&(State_2_5==1)))||((State_2_11==1)&&(State_1_2==1)))||((State_1_14==1)&&(State_2_2==1)))||((State_7_3==1)&&(State_6_6==1)))||((State_10_0==1)&&(State_11_11==1)))||((State_6_2==1)&&(State_5_1==1)))||((State_9_8==1)&&(State_8_3==1)))||((State_5_14==1)&&(State_4_2==1)))||((State_8_4==1)&&(State_7_9==1)))||((State_11_8==1)&&(State_12_4==1)))||((State_13_11==1)&&(State_14_3==1)))||((State_11_14==1)&&(State_10_12==1)))||((State_13_11==1)&&(State_14_14==1)))||((State_12_3==1)&&(State_13_8==1)))||((State_4_8==1)&&(State_3_2==1)))||((State_6_9==1)&&(State_7_15==1)))||((State_1_6==1)&&(State_2_2==1)))||((State_11_8==1)&&(State_12_9==1)))||((State_4_15==1)&&(State_5_14==1)))||((State_2_7==1)&&(State_3_11==1)))||((State_2_13==1)&&(State_3_6==1)))||((State_4_7==1)&&(State_3_2==1)))||((State_8_10==1)&&(State_9_7==1)))||((State_14_15==1)&&(State_15_9==1)))||((State_6_13==1)&&(State_7_12==1)))||((State_14_4==1)&&(State_13_8==1)))||((State_2_13==1)&&(State_3_9==1)))||((State_0_14==1)&&(State_1_12==1)))||((State_14_4==1)&&(State_13_15==1)))||((State_12_1==1)&&(State_13_11==1)))||((State_3_12==1)&&(State_2_14==1)))||((State_13_5==1)&&(State_14_13==1)))||((State_11_12==1)&&(State_10_3==1)))||((State_9_0==1)&&(State_10_9==1)))||((State_0_8==1)&&(State_1_4==1)))||((State_0_10==1)&&(State_1_3==1)))||((State_1_11==1)&&(State_2_6==1)))||((State_1_7==1)&&(State_0_6==1)))||((State_9_0==1)&&(State_10_5==1)))||((State_1_9==1)&&(State_2_3==1)))||((State_9_6==1)&&(State_8_15==1)))||((State_1_10==1)&&(State_0_3==1)))||((State_15_10==1)&&(State_14_7==1)))||((State_13_0==1)&&(State_14_6==1)))||((State_13_5==1)&&(State_14_6==1)))||((State_7_14==1)&&(State_6_10==1)))||((State_2_6==1)&&(State_1_12==1)))||((State_2_10==1)&&(State_1_7==1)))||((State_5_10==1)&&(State_4_11==1)))||((State_12_6==1)&&(State_11_2==1)))||((State_8_5==1)&&(State_7_10==1)))||((State_2_15==1)&&(State_3_8==1)))||((State_12_10==1)&&(State_11_5==1)))||((State_6_10==1)&&(State_7_12==1)))||((State_1_12==1)&&(State_2_1==1)))||((State_0_4==1)&&(State_1_14==1)))||((State_12_4==1)&&(State_11_13==1)))||((State_7_0==1)&&(State_6_6==1)))||((State_9_14==1)&&(State_8_11==1)))||((State_6_0==1)&&(State_5_1==1)))||((State_8_8==1)&&(State_9_12==1)))||((State_5_0==1)&&(State_6_3==1)))||((State_11_2==1)&&(State_10_15==1)))||((State_14_13==1)&&(State_15_2==1)))||((State_7_14==1)&&(State_8_11==1)))||((State_3_6==1)&&(State_4_9==1)))||((State_14_4==1)&&(State_13_13==1)))||((State_2_13==1)&&(State_3_10==1)))||((State_4_9==1)&&(State_3_3==1)))||((State_9_0==1)&&(State_8_8==1)))||((State_14_12==1)&&(State_13_13==1)))||((State_6_8==1)&&(State_5_6==1)))||((State_8_5==1)&&(State_9_12==1)))||((State_4_6==1)&&(State_3_8==1)))||((State_14_5==1)&&(State_15_11==1)))||((State_14_14==1)&&(State_15_12==1)))||((State_4_15==1)&&(State_3_4==1)))||((State_12_3==1)&&(State_13_15==1)))||((State_3_4==1)&&(State_4_13==1)))||((State_9_11==1)&&(State_8_9==1)))||((State_3_0==1)&&(State_4_11==1)))||((State_0_11==1)&&(State_1_13==1)))||((State_5_15==1)&&(State_6_6==1)))||((State_5_8==1)&&(State_6_13==1)))||((State_4_1==1)&&(State_3_2==1)))||((State_4_8==1)&&(State_5_7==1)))||((State_12_2==1)&&(State_11_14==1)))||((State_14_11==1)&&(State_15_5==1)))||((State_8_14==1)&&(State_9_12==1)))||((State_12_7==1)&&(State_13_13==1)))||((State_7_3==1)&&(State_8_2==1)))||((State_4_3==1)&&(State_5_9==1)))||((State_14_0==1)&&(State_15_15==1)))||((State_15_0==1)&&(State_14_9==1)))||((State_7_2==1)&&(State_6_9==1)))||((State_10_11==1)&&(State_9_3==1)))||((State_4_3==1)&&(State_5_0==1)))||((State_5_9==1)&&(State_4_13==1)))||((State_1_12==1)&&(State_0_0==1)))||((State_1_0==1)&&(State_0_12==1)))||((State_4_8==1)&&(State_5_11==1)))||((State_6_9==1)&&(State_5_6==1)))||((State_14_12==1)&&(State_13_14==1)))||((State_9_13==1)&&(State_10_6==1)))||((State_6_5==1)&&(State_5_14==1)))||((State_0_6==1)&&(State_1_13==1)))||((State_7_1==1)&&(State_6_13==1)))||((State_4_12==1)&&(State_5_1==1)))||((State_14_2==1)&&(State_13_12==1)))||((State_8_13==1)&&(State_9_14==1)))||((State_1_10==1)&&(State_2_11==1)))||((State_15_11==1)&&(State_14_10==1)))||((State_15_6==1)&&(State_14_7==1)))||((State_10_7==1)&&(State_11_14==1)))||((State_12_10==1)&&(State_11_14==1)))||((State_12_15==1)&&(State_11_13==1)))||((State_9_0==1)&&(State_8_4==1)))||((State_3_10==1)&&(State_4_14==1)))||((State_7_1==1)&&(State_6_9==1)))||((State_8_13==1)&&(State_9_2==1)))||((State_4_12==1)&&(State_5_8==1)))||((State_4_0==1)&&(State_3_13==1)))||((State_6_2==1)&&(State_5_5==1)))||((State_8_8==1)&&(State_9_5==1)))||((State_10_3==1)&&(State_11_10==1)))||((State_4_8==1)&&(State_5_13==1)))||((State_4_6==1)&&(State_5_0==1)))||((State_2_4==1)&&(State_1_5==1)))||((State_9_5==1)&&(State_10_12==1)))||((State_2_15==1)&&(State_1_2==1)))||((State_11_13==1)&&(State_12_14==1)))||((State_11_0==1)&&(State_12_13==1)))||((State_10_2==1)&&(State_9_14==1)))||((State_5_15==1)&&(State_4_6==1)))||((State_10_11==1)&&(State_11_10==1)))||((State_10_6==1)&&(State_9_9==1)))||((State_13_11==1)&&(State_12_13==1)))||((State_3_1==1)&&(State_2_9==1)))||((State_4_6==1)&&(State_5_9==1)))||((State_5_2==1)&&(State_4_1==1)))||((State_9_1==1)&&(State_10_15==1)))||((State_12_7==1)&&(State_13_8==1)))||((State_1_7==1)&&(State_0_2==1)))||((State_11_3==1)&&(State_10_7==1)))||((State_1_10==1)&&(State_2_14==1)))||((State_2_10==1)&&(State_3_12==1)))||((State_12_12==1)&&(State_11_14==1)))||((State_10_9==1)&&(State_9_1==1)))||((State_4_6==1)&&(State_3_14==1)))||((State_5_7==1)&&(State_4_14==1)))||((State_11_11==1)&&(State_12_3==1)))||((State_3_14==1)&&(State_4_5==1)))||((State_10_11==1)&&(State_9_5==1)))||((State_10_7==1)&&(State_9_8==1)))||((State_1_5==1)&&(State_0_13==1)))||((State_5_12==1)&&(State_6_6==1)))||((State_5_15==1)&&(State_4_5==1)))||((State_12_3==1)&&(State_11_13==1)))||((State_1_11==1)&&(State_2_15==1)))||((State_7_4==1)&&(State_6_0==1)))||((State_0_2==1)&&(State_1_0==1)))||((State_12_5==1)&&(State_11_9==1)))||((State_4_0==1)&&(State_5_10==1)))||((State_3_12==1)&&(State_4_11==1)))||((State_13_13==1)&&(State_12_14==1)))||((State_5_8==1)&&(State_6_7==1)))||((State_9_14==1)&&(State_10_1==1)))||((State_5_7==1)&&(State_6_15==1)))||((State_2_14==1)&&(State_3_13==1)))||((State_6_1==1)&&(State_7_12==1)))||((State_5_3==1)&&(State_6_12==1)))||((State_12_7==1)&&(State_13_15==1)))||((State_9_5==1)&&(State_8_11==1)))||((State_7_2==1)&&(State_6_13==1)))||((State_12_5==1)&&(State_13_1==1)))||((State_4_0==1)&&(State_3_12==1)))||((State_6_2==1)&&(State_7_6==1)))||((State_12_6==1)&&(State_11_4==1)))||((State_8_15==1)&&(State_7_8==1)))||((State_1_11==1)&&(State_0_10==1)))||((State_2_0==1)&&(State_1_6==1)))||((State_1_12==1)&&(State_0_13==1)))||((State_3_9==1)&&(State_2_1==1)))||((State_4_4==1)&&(State_3_10==1)))||((State_8_1==1)&&(State_7_11==1)))||((State_3_6==1)&&(State_2_11==1)))||((State_6_12==1)&&(State_7_5==1)))||((State_13_9==1)&&(State_14_3==1)))||((State_12_11==1)&&(State_13_4==1)))||((State_1_4==1)&&(State_0_10==1)))||((State_5_4==1)&&(State_4_11==1)))||((State_6_5==1)&&(State_7_3==1)))||((State_4_6==1)&&(State_3_2==1)))||((State_6_8==1)&&(State_7_15==1)))||((State_8_13==1)&&(State_7_5==1)))||((State_6_7==1)&&(State_7_11==1)))||((State_14_5==1)&&(State_13_6==1)))||((State_10_10==1)&&(State_9_9==1)))||((State_0_14==1)&&(State_1_1==1)))||((State_10_3==1)&&(State_9_5==1)))||((State_11_3==1)&&(State_10_5==1)))||((State_1_5==1)&&(State_0_0==1)))||((State_10_0==1)&&(State_9_10==1)))||((State_14_15==1)&&(State_15_1==1)))||((State_2_6==1)&&(State_3_3==1)))||((State_9_11==1)&&(State_8_6==1)))||((State_2_10==1)&&(State_3_13==1)))||((State_15_1==1)&&(State_14_8==1)))||((State_10_7==1)&&(State_11_11==1)))||((State_14_0==1)&&(State_13_3==1)))||((State_5_3==1)&&(State_6_8==1)))||((State_11_12==1)&&(State_12_4==1)))||((State_3_4==1)&&(State_4_0==1)))||((State_14_14==1)&&(State_15_11==1)))||((State_1_1==1)&&(State_2_4==1)))||((State_1_1==1)&&(State_0_0==1)))||((State_13_7==1)&&(State_12_14==1)))||((State_6_9==1)&&(State_7_0==1)))||((State_3_11==1)&&(State_4_1==1)))||((State_10_8==1)&&(State_11_9==1)))||((State_13_13==1)&&(State_12_0==1)))||((State_0_6==1)&&(State_1_12==1)))||((State_15_5==1)&&(State_14_6==1)))||((State_9_13==1)&&(State_10_12==1)))||((State_14_11==1)&&(State_13_4==1)))||((State_0_8==1)&&(State_1_13==1)))||((State_7_2==1)&&(State_8_0==1)))||((State_6_10==1)&&(State_7_6==1)))||((State_1_4==1)&&(State_2_15==1)))||((State_15_9==1)&&(State_14_0==1)))||((State_10_1==1)&&(State_9_4==1)))||((State_0_5==1)&&(State_1_2==1)))||((State_10_13==1)&&(State_9_5==1)))||((State_11_12==1)&&(State_12_9==1)))||((State_3_3==1)&&(State_2_8==1)))||((State_1_9==1)&&(State_2_0==1)))||((State_13_0==1)&&(State_12_14==1)))||((State_9_10==1)&&(State_8_11==1)))||((State_9_13==1)&&(State_8_11==1)))||((State_12_2==1)&&(State_11_11==1)))||((State_12_5==1)&&(State_11_2==1)))||((State_1_13==1)&&(State_2_9==1)))||((State_4_15==1)&&(State_5_13==1)))||((State_9_11==1)&&(State_10_8==1)))||((State_10_5==1)&&(State_9_12==1)))||((State_9_0==1)&&(State_10_6==1)))||((State_15_4==1)&&(State_14_0==1)))||((State_11_6==1)&&(State_10_15==1)))||((State_7_2==1)&&(State_6_7==1)))||((State_14_0==1)&&(State_13_9==1)))||((State_11_1==1)&&(State_12_9==1)))||((State_4_9==1)&&(State_5_6==1)))||((State_14_13==1)&&(State_13_1==1)))||((State_11_15==1)&&(State_12_7==1)))||((State_14_4==1)&&(State_15_3==1)))||((State_11_3==1)&&(State_10_12==1)))||((State_3_7==1)&&(State_4_11==1)))||((State_1_10==1)&&(State_2_1==1)))||((State_4_3==1)&&(State_3_2==1)))||((State_7_14==1)&&(State_6_0==1)))||((State_12_0==1)&&(State_13_15==1)))||((State_3_3==1)&&(State_4_8==1)))||((State_9_10==1)&&(State_10_6==1)))||((State_4_15==1)&&(State_5_7==1)))||((State_10_5==1)&&(State_11_0==1)))||((State_5_4==1)&&(State_6_0==1)))||((State_1_14==1)&&(State_0_10==1)))||((State_5_9==1)&&(State_6_15==1)))||((State_11_15==1)&&(State_10_8==1)))||((State_3_5==1)&&(State_2_9==1)))||((State_3_3==1)&&(State_2_5==1)))||((State_12_9==1)&&(State_11_5==1)))||((State_9_0==1)&&(State_8_11==1)))||((State_11_12==1)&&(State_12_13==1)))||((State_15_5==1)&&(State_14_0==1)))||((State_14_3==1)&&(State_13_6==1)))||((State_2_3==1)&&(State_1_8==1)))||((State_3_9==1)&&(State_4_1==1)))||((State_2_13==1)&&(State_1_9==1)))||((State_15_0==1)&&(State_14_10==1)))||((State_5_8==1)&&(State_4_7==1)))||((State_5_3==1)&&(State_4_8==1)))||((State_10_13==1)&&(State_9_3==1)))||((State_5_9==1)&&(State_4_14==1)))||((State_10_3==1)&&(State_11_7==1)))||((State_13_11==1)&&(State_14_1==1)))||((State_4_3==1)&&(State_3_14==1)))||((State_8_1==1)&&(State_9_8==1)))||((State_8_8==1)&&(State_9_7==1)))||((State_10_11==1)&&(State_11_5==1)))||((State_13_11==1)&&(State_12_9==1)))||((State_10_13==1)&&(State_11_10==1)))||((State_15_1==1)&&(State_14_4==1)))||((State_10_0==1)&&(State_9_15==1)))||((State_13_11==1)&&(State_12_4==1)))||((State_7_2==1)&&(State_8_3==1)))||((State_15_9==1)&&(State_14_6==1)))||((State_10_3==1)&&(State_11_8==1)))||((State_7_4==1)&&(State_6_1==1)))||((State_7_14==1)&&(State_8_4==1)))||((State_5_8==1)&&(State_6_9==1)))||((State_4_15==1)&&(State_5_11==1)))||((State_7_1==1)&&(State_8_12==1)))||((State_6_1==1)&&(State_5_6==1)))||((State_1_14==1)&&(State_2_15==1)))||((State_8_13==1)&&(State_7_12==1)))||((State_11_1==1)&&(State_12_13==1)))||((State_10_9==1)&&(State_11_15==1)))||((State_2_6==1)&&(State_3_2==1)))||((State_3_1==1)&&(State_4_10==1)))||((State_3_0==1)&&(State_4_9==1)))||((State_8_1==1)&&(State_7_7==1)))||((State_13_2==1)&&(State_12_13==1)))||((State_5_12==1)&&(State_4_4==1)))||((State_8_13==1)&&(State_9_6==1)))||((State_5_3==1)&&(State_4_13==1)))||((State_5_2==1)&&(State_6_7==1)))||((State_3_6==1)&&(State_2_1==1)))||((State_2_4==1)&&(State_1_7==1)))||((State_7_3==1)&&(State_8_15==1)))||((State_4_3==1)&&(State_3_5==1)))||((State_5_5==1)&&(State_6_9==1)))||((State_2_14==1)&&(State_3_10==1)))||((State_13_6==1)&&(State_12_13==1)))||((State_11_15==1)&&(State_12_0==1)))||((State_14_12==1)&&(State_15_2==1)))||((State_8_2==1)&&(State_7_12==1)))||((State_3_9==1)&&(State_2_11==1)))||((State_10_13==1)&&(State_11_8==1)))||((State_8_1==1)&&(State_7_2==1)))||((State_4_0==1)&&(State_3_6==1)))||((State_6_14==1)&&(State_5_5==1)))||((State_14_13==1)&&(State_13_8==1)))||((State_6_0==1)&&(State_7_12==1)))||((State_8_7==1)&&(State_9_4==1)))||((State_6_1==1)&&(State_7_8==1)))||((State_9_13==1)&&(State_10_2==1)))||((State_4_13==1)&&(State_5_1==1)))||((State_12_10==1)&&(State_11_4==1)))||((State_13_12==1)&&(State_12_3==1)))||((State_13_2==1)&&(State_14_1==1)))||((State_6_9==1)&&(State_5_11==1)))||((State_12_5==1)&&(State_11_6==1)))||((State_0_4==1)&&(State_1_7==1)))||((State_5_3==1)&&(State_6_15==1)))||((State_10_10==1)&&(State_11_14==1)))||((State_10_11==1)&&(State_9_15==1)))||((State_5_5==1)&&(State_4_7==1)))||((State_9_1==1)&&(State_10_10==1)))||((State_10_9==1)&&(State_9_6==1)))||((State_6_12==1)&&(State_7_8==1)))||((State_11_12==1)&&(State_12_7==1)))||((State_15_6==1)&&(State_14_4==1)))||((State_1_7==1)&&(State_2_11==1)))||((State_5_8==1)&&(State_4_1==1)))||((State_9_7==1)&&(State_10_2==1)))||((State_5_15==1)&&(State_6_2==1)))||((State_13_2==1)&&(State_12_9==1)))||((State_14_8==1)&&(State_13_12==1)))||((State_10_7==1)&&(State_11_4==1)))||((State_2_15==1)&&(State_1_6==1)))||((State_14_15==1)&&(State_15_12==1)))||((State_3_6==1)&&(State_2_14==1)))||((State_4_6==1)&&(State_3_5==1)))||((State_6_11==1)&&(State_5_5==1)))||((State_1_10==1)&&(State_0_2==1)))||((State_10_2==1)&&(State_11_15==1)))||((State_10_13==1)&&(State_11_5==1)))||((State_5_12==1)&&(State_4_2==1)))||((State_7_3==1)&&(State_6_15==1)))||((State_14_5==1)&&(State_15_15==1)))||((State_5_4==1)&&(State_4_2==1)))||((State_9_14==1)&&(State_8_12==1)))||((State_10_3==1)&&(State_9_15==1)))||((State_7_0==1)&&(State_6_3==1)))||((State_13_7==1)&&(State_14_4==1)))||((State_5_3==1)&&(State_4_14==1)))||((State_13_2==1)&&(State_12_4==1)))||((State_11_4==1)&&(State_10_12==1)))||((State_15_12==1)&&(State_14_3==1)))||((State_1_6==1)&&(State_0_9==1)))||((State_15_4==1)&&(State_14_6==1)))||((State_14_0==1)&&(State_13_4==1)))||((State_2_6==1)&&(State_3_14==1)))||((State_12_1==1)&&(State_11_7==1)))||((State_2_4==1)&&(State_3_3==1)))||((State_7_0==1)&&(State_8_2==1)))||((State_0_5==1)&&(State_1_11==1)))||((State_6_14==1)&&(State_7_6==1)))||((State_14_11==1)&&(State_15_4==1)))||((State_14_7==1)&&(State_15_11==1)))||((State_3_7==1)&&(State_4_2==1)))||((State_4_0==1)&&(State_5_12==1)))||((State_12_3==1)&&(State_11_1==1)))||((State_7_10==1)&&(State_6_13==1)))||((State_7_13==1)&&(State_6_4==1)))||((State_1_6==1)&&(State_2_12==1)))||((State_4_7==1)&&(State_3_13==1)))||((State_11_7==1)&&(State_12_10==1)))||((State_15_9==1)&&(State_14_12==1)))||((State_1_0==1)&&(State_0_7==1)))||((State_12_12==1)&&(State_11_4==1)))||((State_5_7==1)&&(State_4_10==1)))||((State_13_11==1)&&(State_12_10==1)))||((State_12_15==1)&&(State_11_4==1)))||((State_12_8==1)&&(State_13_12==1)))||((State_8_4==1)&&(State_9_11==1)))||((State_4_4==1)&&(State_5_14==1)))||((State_6_12==1)&&(State_5_10==1)))||((State_9_10==1)&&(State_10_12==1)))||((State_4_14==1)&&(State_5_6==1)))||((State_13_7==1)&&(State_14_8==1)))||((State_6_11==1)&&(State_7_6==1)))||((State_5_15==1)&&(State_6_4==1)))||((State_2_0==1)&&(State_1_2==1)))||((State_5_5==1)&&(State_6_13==1)))||((State_10_13==1)&&(State_11_7==1)))||((State_7_2==1)&&(State_8_12==1)))||((State_7_10==1)&&(State_6_9==1)))||((State_10_1==1)&&(State_11_5==1)))||((State_4_15==1)&&(State_5_4==1)))||((State_8_1==1)&&(State_7_9==1)))||((State_7_0==1)&&(State_6_15==1)))||((State_11_12==1)&&(State_12_1==1)))||((State_10_10==1)&&(State_11_11==1)))||((State_14_3==1)&&(State_15_15==1)))||((State_4_12==1)&&(State_3_7==1)))||((State_14_15==1)&&(State_15_2==1)))||((State_3_5==1)&&(State_2_12==1)))||((State_8_14==1)&&(State_9_11==1)))||((State_1_1==1)&&(State_2_0==1)))||((State_12_3==1)&&(State_11_0==1)))||((State_7_10==1)&&(State_8_12==1)))||((State_12_7==1)&&(State_11_9==1)))||((State_10_0==1)&&(State_11_10==1)))||((State_14_15==1)&&(State_13_7==1)))||((State_3_4==1)&&(State_4_9==1)))||((State_8_8==1)&&(State_7_15==1)))||((State_7_13==1)&&(State_8_5==1)))||((State_11_2==1)&&(State_10_1==1)))||((State_0_11==1)&&(State_1_0==1)))||((State_12_11==1)&&(State_11_15==1)))||((State_14_15==1)&&(State_15_0==1)))||((State_12_7==1)&&(State_13_1==1)))||((State_12_1==1)&&(State_11_5==1)))||((State_1_7==1)&&(State_2_14==1)))||((State_13_10==1)&&(State_12_4==1)))||((State_7_5==1)&&(State_8_6==1)))||((State_4_7==1)&&(State_5_10==1)))||((State_6_3==1)&&(State_7_6==1)))||((State_0_5==1)&&(State_1_6==1)))||((State_5_2==1)&&(State_4_7==1)))||((State_14_9==1)&&(State_13_15==1)))||((State_14_1==1)&&(State_13_6==1)))||((State_2_0==1)&&(State_1_11==1)))||((State_14_10==1)&&(State_15_15==1)))||((State_3_11==1)&&(State_2_14==1)))||((State_9_10==1)&&(State_10_5==1)))||((State_14_5==1)&&(State_13_9==1)))||((State_12_11==1)&&(State_13_0==1)))||((State_1_10==1)&&(State_0_5==1)))||((State_13_10==1)&&(State_14_1==1)))||((State_10_0==1)&&(State_9_3==1)))||((State_5_5==1)&&(State_6_7==1)))||((State_5_1==1)&&(State_6_15==1)))||((State_14_14==1)&&(State_13_2==1)))||((State_5_9==1)&&(State_4_10==1)))||((State_9_0==1)&&(State_10_2==1)))||((State_0_2==1)&&(State_1_15==1)))||((State_1_9==1)&&(State_0_1==1)))||((State_3_9==1)&&(State_2_14==1)))||((State_1_7==1)&&(State_2_1==1)))||((State_4_15==1)&&(State_3_11==1)))||((State_12_1==1)&&(State_11_8==1)))||((State_2_7==1)&&(State_3_8==1)))||((State_13_10==1)&&(State_12_9==1)))||((State_3_1==1)&&(State_2_3==1)))||((State_14_5==1)&&(State_13_3==1)))||((State_11_3==1)&&(State_10_6==1)))||((State_3_15==1)&&(State_2_5==1)))||((State_15_4==1)&&(State_14_12==1)))||((State_9_1==1)&&(State_10_14==1)))||((State_9_7==1)&&(State_10_6==1)))||((State_11_15==1)&&(State_12_14==1)))||((State_8_10==1)&&(State_7_6==1)))||((State_10_6==1)&&(State_9_8==1)))||((State_11_12==1)&&(State_12_6==1)))||((State_13_10==1)&&(State_12_13==1)))||((State_2_4==1)&&(State_1_8==1)))||((State_1_5==1)&&(State_0_6==1)))||((State_15_1==1)&&(State_14_7==1)))||((State_12_6==1)&&(State_11_13==1)))||((State_7_13==1)&&(State_8_6==1)))||((State_13_5==1)&&(State_14_11==1)))||((State_11_6==1)&&(State_10_2==1)))||((State_3_11==1)&&(State_2_1==1)))||((State_6_1==1)&&(State_7_5==1)))||((State_3_7==1)&&(State_4_4==1)))||((State_13_8==1)&&(State_12_0==1)))||((State_5_1==1)&&(State_4_14==1)))||((State_6_9==1)&&(State_5_7==1)))||((State_13_4==1)&&(State_12_9==1)))||((State_8_8==1)&&(State_9_3==1)))||((State_10_6==1)&&(State_11_14==1)))||((State_5_2==1)&&(State_6_9==1)))||((State_0_4==1)&&(State_1_8==1)))||((State_9_15==1)&&(State_8_9==1)))||((State_0_8==1)&&(State_1_9==1)))||((State_11_5==1)&&(State_10_12==1)))||((State_5_0==1)&&(State_4_5==1)))||((State_5_11==1)&&(State_4_5==1)))||((State_13_4==1)&&(State_12_13==1)))||((State_3_15==1)&&(State_2_8==1)))||((State_11_2==1)&&(State_12_14==1)))||((State_8_13==1)&&(State_7_0==1)))||((State_15_9==1)&&(State_14_10==1)))||((State_14_4==1)&&(State_15_13==1)))||((State_15_7==1)&&(State_14_1==1)))||((State_4_0==1)&&(State_3_10==1)))||((State_5_2==1)&&(State_6_13==1)))||((State_2_5==1)&&(State_1_13==1)))||((State_3_15==1)&&(State_4_8==1)))||((State_14_9==1)&&(State_13_13==1)))||((State_6_9==1)&&(State_5_13==1)))||((State_12_3==1)&&(State_13_14==1)))||((State_3_2==1)&&(State_2_1==1)))||((State_1_2==1)&&(State_2_9==1)))||((State_6_1==1)&&(State_7_13==1)))||((State_5_13==1)&&(State_6_6==1)))||((State_13_15==1)&&(State_14_3==1)))||((State_10_0==1)&&(State_9_5==1)))||((State_6_0==1)&&(State_5_6==1)))||((State_0_11==1)&&(State_1_15==1)))||((State_13_7==1)&&(State_12_0==1)))||((State_1_4==1)&&(State_2_12==1)))||((State_3_12==1)&&(State_2_9==1)))||((State_11_12==1)&&(State_12_11==1)))||((State_1_14==1)&&(State_2_8==1)))||((State_4_12==1)&&(State_3_2==1)))||((State_11_10==1)&&(State_10_5==1)))||((State_13_10==1)&&(State_14_8==1)))||((State_11_6==1)&&(State_12_10==1)))||((State_7_9==1)&&(State_8_15==1)))||((State_8_13==1)&&(State_7_3==1)))||((State_6_8==1)&&(State_5_1==1)))||((State_8_9==1)&&(State_7_7==1)))||((State_3_0==1)&&(State_4_15==1)))||((State_13_11==1)&&(State_14_4==1)))||((State_12_0==1)&&(State_13_6==1)))||((State_6_4==1)&&(State_7_1==1)))||((State_2_13==1)&&(State_1_12==1)))||((State_9_1==1)&&(State_10_6==1)))||((State_6_9==1)&&(State_7_7==1)))||((State_3_1==1)&&(State_4_11==1)))||((State_1_11==1)&&(State_2_5==1)))||((State_14_5==1)&&(State_13_8==1)))||((State_2_7==1)&&(State_3_14==1)))||((State_13_15==1)&&(State_14_10==1)))||((State_5_12==1)&&(State_4_11==1)))||((State_3_8==1)&&(State_2_2==1)))||((State_9_13==1)&&(State_8_15==1)))||((State_5_15==1)&&(State_4_1==1)))||((State_11_11==1)&&(State_10_4==1)))||((State_11_15==1)&&(State_10_1==1)))||((State_2_3==1)&&(State_3_2==1)))||((State_1_4==1)&&(State_0_9==1)))||((State_2_4==1)&&(State_3_7==1)))||((State_7_10==1)&&(State_8_3==1)))||((State_13_10==1)&&(State_14_4==1)))||((State_3_3==1)&&(State_4_14==1)))||((State_12_11==1)&&(State_11_2==1)))||((State_12_5==1)&&(State_13_0==1)))||((State_8_11==1)&&(State_7_7==1)))||((State_3_0==1)&&(State_4_5==1)))||((State_1_11==1)&&(State_2_8==1)))||((State_13_10==1)&&(State_12_7==1)))||((State_2_11==1)&&(State_1_12==1)))||((State_6_14==1)&&(State_7_15==1)))||((State_4_7==1)&&(State_3_10==1)))||((State_1_14==1)&&(State_2_5==1)))||((State_4_3==1)&&(State_5_5==1)))||((State_3_15==1)&&(State_2_1==1)))||((State_10_3==1)&&(State_9_12==1)))||((State_1_7==1)&&(State_2_2==1)))||((State_9_15==1)&&(State_8_0==1)))||((State_5_4==1)&&(State_6_6==1)))||((State_10_0==1)&&(State_9_11==1)))||((State_15_4==1)&&(State_14_10==1)))||((State_8_12==1)&&(State_7_9==1)))||((State_11_7==1)&&(State_10_14==1)))||((State_6_6==1)&&(State_7_11==1)))||((State_14_2==1)&&(State_13_8==1)))||((State_7_14==1)&&(State_6_6==1)))||((State_3_6==1)&&(State_4_7==1)))||((State_14_9==1)&&(State_13_6==1)))||((State_1_10==1)&&(State_2_8==1)))||((State_7_2==1)&&(State_8_6==1)))||((State_1_8==1)&&(State_0_0==1)))||((State_5_13==1)&&(State_4_5==1)))||((State_6_4==1)&&(State_7_11==1)))||((State_2_6==1)&&(State_1_15==1)))||((State_4_11==1)&&(State_5_1==1)))||((State_0_4==1)&&(State_1_2==1)))||((State_10_3==1)&&(State_11_0==1)))||((State_12_11==1)&&(State_13_9==1)))||((State_3_9==1)&&(State_2_6==1)))||((State_3_6==1)&&(State_4_1==1)))||((State_14_14==1)&&(State_13_15==1)))||((State_10_13==1)&&(State_11_1==1)))||((State_13_11==1)&&(State_12_7==1)))||((State_9_0==1)&&(State_10_15==1)))||((State_14_8==1)&&(State_15_11==1)))||((State_13_2==1)&&(State_12_12==1)))||((State_12_11==1)&&(State_13_6==1)))||((State_13_11==1)&&(State_14_8==1)))||((State_12_4==1)&&(State_13_6==1)))||((State_3_0==1)&&(State_4_6==1)))||((State_1_4==1)&&(State_2_10==1)))||((State_2_3==1)&&(State_3_14==1)))||((State_13_2==1)&&(State_14_3==1)))||((State_0_10==1)&&(State_1_13==1)))||((State_12_10==1)&&(State_11_13==1)))||((State_1_15==1)&&(State_0_7==1)))||((State_14_15==1)&&(State_15_11==1)))||((State_3_4==1)&&(State_4_2==1)))||((State_8_2==1)&&(State_7_11==1)))||((State_6_13==1)&&(State_7_6==1)))||((State_11_3==1)&&(State_10_4==1)))||((State_2_6==1)&&(State_3_5==1)))||((State_14_2==1)&&(State_13_13==1)))||((State_5_2==1)&&(State_4_3==1)))||((State_6_12==1)&&(State_7_3==1)))||((State_2_10==1)&&(State_1_2==1)))||((State_5_10==1)&&(State_6_3==1)))||((State_11_2==1)&&(State_12_7==1)))||((State_14_7==1)&&(State_13_14==1)))||((State_10_2==1)&&(State_9_9==1)))||((State_12_2==1)&&(State_11_15==1)))||((State_14_2==1)&&(State_13_15==1)))||((State_2_6==1)&&(State_3_7==1)))||((State_6_9==1)&&(State_5_4==1)))||((State_10_9==1)&&(State_11_14==1)))||((State_2_2==1)&&(State_3_10==1)))||((State_11_8==1)&&(State_12_3==1)))||((State_4_9==1)&&(State_5_10==1)))||((State_10_10==1)&&(State_9_2==1)))||((State_8_2==1)&&(State_7_7==1)))||((State_1_5==1)&&(State_2_12==1)))||((State_2_10==1)&&(State_3_4==1)))||((State_12_1==1)&&(State_13_15==1)))||((State_6_3==1)&&(State_7_15==1)))||((State_11_1==1)&&(State_10_8==1)))||((State_3_15==1)&&(State_4_1==1)))||((State_11_12==1)&&(State_12_0==1)))||((State_11_2==1)&&(State_12_0==1)))||((State_0_4==1)&&(State_1_3==1)))||((State_11_6==1)&&(State_10_0==1)))||((State_15_10==1)&&(State_14_5==1)))||((State_8_8==1)&&(State_7_6==1)))||((State_6_11==1)&&(State_5_10==1)))||((State_13_10==1)&&(State_12_1==1)))||((State_13_8==1)&&(State_12_14==1)))||((State_12_7==1)&&(State_13_6==1)))||((State_11_14==1)&&(State_10_4==1)))||((State_9_1==1)&&(State_10_12==1)))||((State_3_8==1)&&(State_4_5==1)))||((State_5_8==1)&&(State_4_5==1)))||((State_2_15==1)&&(State_1_8==1)))||((State_6_0==1)&&(State_7_11==1)))||((State_3_14==1)&&(State_4_1==1)))||((State_1_10==1)&&(State_2_5==1)))||((State_12_12==1)&&(State_13_4==1)))||((State_11_6==1)&&(State_10_3==1)))||((State_2_4==1)&&(State_1_15==1)))||((State_10_10==1)&&(State_9_14==1)))||((State_4_7==1)&&(State_5_12==1)))||((State_10_7==1)&&(State_11_15==1)))||((State_12_11==1)&&(State_13_3==1)))||((State_6_5==1)&&(State_7_8==1)))||((State_6_7==1)&&(State_5_11==1)))||((State_10_9==1)&&(State_9_8==1)))||((State_14_11==1)&&(State_13_3==1)))||((State_9_1==1)&&(State_8_11==1)))||((State_5_15==1)&&(State_6_9==1)))||((State_14_9==1)&&(State_13_3==1)))||((State_8_4==1)&&(State_9_10==1)))||((State_5_10==1)&&(State_4_8==1)))||((State_2_10==1)&&(State_3_15==1)))||((State_2_7==1)&&(State_1_14==1)))||((State_5_15==1)&&(State_4_7==1)))||((State_14_11==1)&&(State_13_9==1)))||((State_6_1==1)&&(State_5_10==1)))||((State_12_2==1)&&(State_13_0==1)))||((State_10_14==1)&&(State_11_9==1)))||((State_4_9==1)&&(State_3_12==1)))||((State_2_11==1)&&(State_1_13==1)))||((State_12_15==1)&&(State_13_14==1)))||((State_11_12==1)&&(State_10_8==1)))||((State_11_1==1)&&(State_12_0==1)))||((State_2_7==1)&&(State_3_2==1)))||((State_5_12==1)&&(State_6_0==1)))||((State_6_10==1)&&(State_5_14==1)))||((State_2_4==1)&&(State_1_0==1)))||((State_12_1==1)&&(State_13_8==1)))||((State_5_15==1)&&(State_6_13==1)))||((State_8_5==1)&&(State_7_6==1)))||((State_1_10==1)&&(State_0_12==1)))||((State_8_1==1)&&(State_9_11==1)))||((State_12_8==1)&&(State_11_10==1)))||((State_13_5==1)&&(State_14_3==1)))||((State_5_6==1)&&(State_4_5==1)))||((State_10_7==1)&&(State_9_6==1)))||((State_8_15==1)&&(State_7_0==1)))||((State_14_5==1)&&(State_13_15==1)))||((State_10_6==1)&&(State_11_4==1)))||((State_12_5==1)&&(State_11_15==1)))||((State_4_12==1)&&(State_3_5==1)))||((State_0_4==1)&&(State_1_10==1)))||((State_13_10==1)&&(State_12_6==1)))||((State_13_1==1)&&(State_12_13==1)))||((State_4_8==1)&&(State_3_11==1)))||((State_8_12==1)&&(State_7_7==1)))||((State_7_10==1)&&(State_6_7==1)))||((State_6_14==1)&&(State_5_9==1)))||((State_10_2==1)&&(State_11_11==1)))||((State_11_3==1)&&(State_10_11==1)))||((State_3_1==1)&&(State_2_0==1)))||((State_8_4==1)&&(State_9_15==1)))||((State_7_2==1)&&(State_8_5==1)))||((State_14_13==1)&&(State_13_15==1)))||((State_11_2==1)&&(State_10_8==1)))||((State_15_4==1)&&(State_14_9==1)))||((State_10_13==1)&&(State_9_12==1)))||((State_2_0==1)&&(State_1_5==1)))||((State_14_5==1)&&(State_13_13==1)))||((State_14_11==1)&&(State_13_6==1)))||((State_2_6==1)&&(State_1_0==1)))||((State_9_13==1)&&(State_8_14==1)))||((State_3_5==1)&&(State_4_11==1)))||((State_3_9==1)&&(State_2_2==1)))||((State_2_13==1)&&(State_3_11==1)))||((State_3_3==1)&&(State_4_13==1)))||((State_3_2==1)&&(State_4_5==1)))||((State_12_15==1)&&(State_11_0==1)))||((State_9_7==1)&&(State_10_10==1)))||((State_6_14==1)&&(State_5_0==1)))||((State_13_4==1)&&(State_12_14==1)))||((State_12_1==1)&&(State_13_13==1)))||((State_1_5==1)&&(State_0_9==1)))||((State_7_12==1)&&(State_8_3==1)))||((State_10_13==1)&&(State_11_0==1)))||((State_7_10==1)&&(State_8_0==1)))||((State_5_9==1)&&(State_6_10==1)))||((State_9_10==1)&&(State_8_15==1)))||((State_13_11==1)&&(State_12_0==1)))||((State_13_5==1)&&(State_12_12==1)))||((State_4_9==1)&&(State_3_13==1)))||((State_7_2==1)&&(State_6_4==1)))||((State_10_3==1)&&(State_9_10==1)))||((State_6_11==1)&&(State_7_8==1)))||((State_5_5==1)&&(State_4_0==1)))||((State_8_0==1)&&(State_7_11==1)))||((State_4_0==1)&&(State_5_14==1)))||((State_0_10==1)&&(State_1_12==1)))||((State_2_10==1)&&(State_1_3==1)))||((State_7_9==1)&&(State_8_2==1)))||((State_4_15==1)&&(State_5_6==1)))||((State_14_1==1)&&(State_13_13==1)))||((State_3_1==1)&&(State_2_10==1)))||((State_2_4==1)&&(State_1_14==1)))||((State_12_6==1)&&(State_11_14==1)))||((State_11_13==1)&&(State_10_8==1)))||((State_5_15==1)&&(State_6_7==1)))||((State_9_7==1)&&(State_10_14==1)))||((State_12_1==1)&&(State_13_12==1)))||((State_2_7==1)&&(State_1_15==1)))||((State_2_0==1)&&(State_1_8==1)))||((State_5_10==1)&&(State_6_15==1)))||((State_12_0==1)&&(State_13_1==1)))||((State_15_11==1)&&(State_14_6==1)))||((State_6_0==1)&&(State_5_13==1)))||((State_1_2==1)&&(State_0_9==1)))||((State_9_1==1)&&(State_10_2==1)))||((State_9_10==1)&&(State_8_14==1)))||((State_12_0==1)&&(State_11_9==1)))||((State_12_5==1)&&(State_13_9==1)))||((State_12_11==1)&&(State_11_9==1)))||((State_4_13==1)&&(State_3_2==1)))||((State_5_9==1)&&(State_6_0==1)))||((State_13_10==1)&&(State_12_11==1)))||((State_2_15==1)&&(State_3_3==1)))||((State_3_12==1)&&(State_4_10==1)))||((State_11_6==1)&&(State_10_14==1)))||((State_3_4==1)&&(State_4_11==1)))||((State_10_13==1)&&(State_9_10==1)))||((State_7_12==1)&&(State_8_0==1)))||((State_1_15==1)&&(State_2_1==1)))||((State_6_0==1)&&(State_5_11==1)))||((State_3_12==1)&&(State_2_15==1)))||((State_10_6==1)&&(State_11_13==1)))||((State_4_9==1)&&(State_3_10==1)))||((State_5_10==1)&&(State_4_14==1)))||((State_7_9==1)&&(State_6_3==1)))||((State_0_2==1)&&(State_1_8==1)))||((State_14_1==1)&&(State_13_15==1)))||((State_0_8==1)&&(State_1_12==1)))||((State_8_14==1)&&(State_7_1==1)))||((State_7_12==1)&&(State_6_7==1)))||((State_8_9==1)&&(State_7_11==1)))||((State_9_6==1)&&(State_10_14==1)))||((State_4_7==1)&&(State_5_14==1)))||((State_5_0==1)&&(State_6_7==1)))||((State_0_15==1)&&(State_1_0==1)))||((State_15_7==1)&&(State_14_4==1)))||((State_12_5==1)&&(State_13_3==1)))||((State_4_6==1)&&(State_3_3==1)))||((State_4_12==1)&&(State_5_2==1)))||((State_10_0==1)&&(State_11_1==1)))||((State_6_11==1)&&(State_5_14==1)))||((State_13_11==1)&&(State_12_6==1)))||((State_11_10==1)&&(State_10_12==1)))||((State_3_9==1)&&(State_4_7==1)))||((State_10_14==1)&&(State_9_2==1)))||((State_6_0==1)&&(State_5_7==1)))||((State_0_4==1)&&(State_1_11==1)))||((State_1_2==1)&&(State_2_12==1)))||((State_12_8==1)&&(State_11_7==1)))||((State_1_9==1)&&(State_0_6==1)))||((State_4_4==1)&&(State_3_13==1)))||((State_12_10==1)&&(State_11_1==1)))||((State_1_12==1)&&(State_0_3==1)))||((State_3_15==1)&&(State_2_11==1)))||((State_0_4==1)&&(State_1_6==1)))||((State_1_3==1)&&(State_0_15==1)))||((State_12_7==1)&&(State_13_9==1)))||((State_8_12==1)&&(State_7_0==1)))||((State_11_1==1)&&(State_12_4==1)))||((State_5_0==1)&&(State_6_9==1)))||((State_12_15==1)&&(State_11_1==1)))||((State_3_3==1)&&(State_4_10==1)))||((State_14_4==1)&&(State_15_15==1)))||((State_2_4==1)&&(State_3_5==1)))||((State_14_9==1)&&(State_13_1==1)))||((State_9_0==1)&&(State_10_10==1)))||((State_4_14==1)&&(State_3_13==1)))||((State_7_3==1)&&(State_6_10==1)))||((State_2_3==1)&&(State_3_5==1)))||((State_5_14==1)&&(State_4_10==1)))||((State_15_13==1)&&(State_14_8==1)))||((State_15_7==1)&&(State_14_8==1)))||((State_10_10==1)&&(State_9_6==1)))||((State_5_10==1)&&(State_4_13==1)))||((State_14_15==1)&&(State_13_2==1)))||((State_14_7==1)&&(State_15_2==1)))||((State_9_3==1)&&(State_8_0==1)))||((State_1_1==1)&&(State_0_13==1)))||((State_6_4==1)&&(State_7_7==1)))||((State_12_5==1)&&(State_13_6==1)))||((State_15_0==1)&&(State_14_12==1)))||((State_6_0==1)&&(State_7_9==1)))||((State_6_1==1)&&(State_5_14==1)))||((State_2_3==1)&&(State_1_15==1)))||((State_12_11==1)&&(State_13_1==1)))||((State_12_7==1)&&(State_13_3==1)))||((State_14_13==1)&&(State_13_12==1)))||((State_2_10==1)&&(State_3_6==1)))||((State_8_14==1)&&(State_7_11==1)))||((State_14_10==1)&&(State_13_1==1)))||((State_6_5==1)&&(State_5_10==1)))||((State_11_6==1)&&(State_12_12==1)))||((State_5_0==1)&&(State_6_13==1)))||((State_1_12==1)&&(State_0_15==1)))||((State_2_7==1)&&(State_3_5==1)))||((State_7_1==1)&&(State_8_9==1)))||((State_7_3==1)&&(State_8_11==1)))||((State_7_4==1)&&(State_6_10==1)))||((State_14_
5==1)&&(State_13_1==1)))||((State_6_9==1)&&(State_7_11==1)))||((State_3_1==1)&&(State_2_12==1)))||((State_1_4==1)&&(State_2_9==1)))||((State_14_7==1)&&(State_15_0==1)))||((State_10_15==1)&&(State_9_4==1)))||((State_1_9==1)&&(State_0_13==1)))||((State_3_12==1)&&(State_4_13==1)))||((State_14_7==1)&&(State_15_12==1)))||((State_6_5==1)&&(State_5_12==1)))||((State_9_11==1)&&(State_10_1==1)))||((State_10_13==1)&&(State_9_15==1)))||((State_11_7==1)&&(State_10_2==1)))||((State_7_0==1)&&(State_8_11==1)))||((State_3_6==1)&&(State_2_2==1)))||((State_8_4==1)&&(State_7_10==1)))||((State_8_2==1)&&(State_9_9==1)))||((State_13_10==1)&&(State_12_0==1)))||((State_12_3==1)&&(State_11_10==1)))||((State_15_0==1)&&(State_14_13==1)))||((State_7_0==1)&&(State_6_10==1)))||((State_6_11==1)&&(State_7_3==1)))||((State_1_14==1)&&(State_0_12==1)))||((State_8_10==1)&&(State_7_3==1)))||((State_10_15==1)&&(State_11_5==1)))||((State_7_4==1)&&(State_8_11==1)))||((State_11_12==1)&&(State_10_1==1)))||((State_2_4==1)&&(State_3_2==1)))||((State_1_4==1)&&(State_2_3==1)))||((State_2_12==1)&&(State_1_13==1)))||((State_10_2==1)&&(State_9_8==1)))||((State_2_0==1)&&(State_3_3==1)))||((State_2_1==1)&&(State_3_13==1)))||((State_3_5==1)&&(State_4_4==1)))||((State_0_3==1)&&(State_1_15==1)))||((State_4_12==1)&&(State_5_0==1)))||((State_2_4==1)&&(State_3_14==1)))||((State_2_3==1)&&(State_3_7==1)))||((State_10_10==1)&&(State_11_15==1)))||((State_11_12==1)&&(State_12_5==1)))||((State_14_11==1)&&(State_13_0==1)))||((State_9_13==1)&&(State_10_5==1)))||((State_12_6==1)&&(State_11_11==1)))||((State_13_2==1)&&(State_12_10==1)))||((State_12_1==1)&&(State_11_3==1)))||((State_13_4==1)&&(State_12_0==1)))||((State_8_8==1)&&(State_9_4==1)))||((State_8_5==1)&&(State_9_4==1)))||((State_8_13==1)&&(State_7_8==1)))||((State_1_11==1)&&(State_0_12==1)))||((State_3_11==1)&&(State_2_8==1)))||((State_9_10==1)&&(State_10_4==1)))||((State_13_7==1)&&(State_12_13==1)))||((State_4_9==1)&&(State_5_12==1)))||((State_10_0==1)&&(State_9_12==1)))||((State_11_6==1)&&(State_10_10==1)))||((State_2_10==1)&&(State_3_9==1)))||((State_1_6==1)&&(State_0_13==1)))||((State_10_3==1)&&(State_11_1==1)))||((State_10_2==1)&&(State_11_14==1)))||((State_6_4==1)&&(State_5_11==1)))||((State_6_11==1)&&(State_5_12==1)))||((State_2_0==1)&&(State_1_7==1)))||((State_11_12==1)&&(State_12_14==1)))||((State_8_7==1)&&(State_7_6==1)))||((State_3_11==1)&&(State_2_5==1)))||((State_6_1==1)&&(State_7_3==1)))||((State_9_11==1)&&(State_8_0==1)))||((State_9_14==1)&&(State_8_9==1)))||((State_6_4==1)&&(State_5_13==1)))||((State_1_6==1)&&(State_0_0==1)))||((State_9_10==1)&&(State_10_11==1)))||((State_0_3==1)&&(State_1_0==1)))||((State_10_11==1)&&(State_9_4==1)))||((State_2_2==1)&&(State_1_3==1)))||((State_2_3==1)&&(State_1_0==1)))||((State_1_9==1)&&(State_0_0==1)))||((State_14_4==1)&&(State_13_0==1)))||((State_0_9==1)&&(State_1_8==1)))||((State_14_11==1)&&(State_15_15==1)))||((State_1_15==1)&&(State_2_14==1)))||((State_6_4==1)&&(State_5_7==1)))||((State_8_0==1)&&(State_7_7==1)))||((State_1_9==1)&&(State_2_4==1)))||((State_6_12==1)&&(State_5_14==1)))||((State_8_15==1)&&(State_7_12==1)))||((State_3_5==1)&&(State_4_2==1)))||((State_12_12==1)&&(State_11_11==1)))||((State_9_7==1)&&(State_10_15==1)))||((State_5_12==1)&&(State_6_10==1)))||((State_4_12==1)&&(State_5_9==1)))||((State_14_14==1)&&(State_13_12==1)))||((State_14_3==1)&&(State_13_1==1)))||((State_8_12==1)&&(State_9_9==1)))||((State_7_9==1)&&(State_6_15==1)))||((State_8_6==1)&&(State_7_8==1)))||((State_10_9==1)&&(State_11_11==1)))||((State_10_7==1)&&(State_9_9==1)))||((State_12_2==1)&&(State_13_4==1)))||((State_9_11==1)&&(State_8_3==1)))||((State_3_15==1)&&(State_2_14==1)))||((State_6_4==1)&&(State_7_9==1)))||((State_5_5==1)&&(State_6_4==1)))||((State_10_7==1)&&(State_9_1==1)))||((State_8_14==1)&&(State_9_8==1)))||((State_1_1==1)&&(State_0_6==1)))||((State_0_5==1)&&(State_1_3==1)))||((State_10_4==1)&&(State_11_5==1)))||((State_10_6==1)&&(State_9_11==1)))||((State_13_7==1)&&(State_12_9==1)))||((State_9_0==1)&&(State_10_14==1)))||((State_2_7==1)&&(State_1_0==1)))||((State_1_7==1)&&(State_2_6==1)))||((State_4_12==1)&&(State_3_14==1)))||((State_6_0==1)&&(State_7_7==1)))||((State_8_4==1)&&(State_9_12==1)))||((State_13_7==1)&&(State_12_4==1)))||((State_14_1==1)&&(State_13_8==1)))||((State_6_1==1)&&(State_5_12==1)))||((State_15_0==1)&&(State_14_6==1)))||((State_13_12==1)&&(State_14_0==1)))||((State_1_10==1)&&(State_0_7==1)))||((State_9_10==1)&&(State_8_2==1)))||((State_12_8==1)&&(State_11_5==1))) U (((((((((((((((((State_15_7==1)&&(State_0_7==1))||((State_0_4==1)&&(State_15_4==1)))||((State_15_0==1)&&(State_0_0==1)))||((State_15_12==1)&&(State_0_12==1)))||((State_15_9==1)&&(State_0_9==1)))||((State_0_15==1)&&(State_15_15==1)))||((State_0_14==1)&&(State_15_14==1)))||((State_15_10==1)&&(State_0_10==1)))||((State_15_6==1)&&(State_0_6==1)))||((State_15_13==1)&&(State_0_13==1)))||((State_0_3==1)&&(State_15_3==1)))||((State_0_8==1)&&(State_15_8==1)))||((State_0_11==1)&&(State_15_11==1)))||((State_0_5==1)&&(State_15_5==1)))||((State_0_2==1)&&(State_15_2==1)))||((State_15_1==1)&&(State_0_1==1)))) U EG((((((((((((((((((State_15_7==1)&&(State_0_7==1))||((State_0_4==1)&&(State_15_4==1)))||((State_15_0==1)&&(State_0_0==1)))||((State_15_12==1)&&(State_0_12==1)))||((State_15_9==1)&&(State_0_9==1)))||((State_0_15==1)&&(State_15_15==1)))||((State_0_14==1)&&(State_15_14==1)))||((State_15_10==1)&&(State_0_10==1)))||((State_15_6==1)&&(State_0_6==1)))||((State_15_13==1)&&(State_0_13==1)))||((State_0_3==1)&&(State_15_3==1)))||((State_0_8==1)&&(State_15_8==1)))||((State_0_11==1)&&(State_15_11==1)))||((State_0_5==1)&&(State_15_5==1)))||((State_0_2==1)&&(State_15_2==1)))||((State_15_1==1)&&(State_0_1==1)))))))))
=> equivalent forward existential formula: ([(FwdU(Init,TRUE) * !(EG(!((((((((((((((((((State_15_7==1)&&(State_0_7==1))||((State_0_4==1)&&(State_15_4==1)))||((State_15_0==1)&&(State_0_0==1)))||((State_15_12==1)&&(State_0_12==1)))||((State_15_9==1)&&(State_0_9==1)))||((State_0_15==1)&&(State_15_15==1)))||((State_0_14==1)&&(State_15_14==1)))||((State_15_10==1)&&(State_0_10==1)))||((State_15_6==1)&&(State_0_6==1)))||((State_15_13==1)&&(State_0_13==1)))||((State_0_3==1)&&(State_15_3==1)))||((State_0_8==1)&&(State_15_8==1)))||((State_0_11==1)&&(State_15_11==1)))||((State_0_5==1)&&(State_15_5==1)))||((State_0_2==1)&&(State_15_2==1)))||((State_15_1==1)&&(State_0_1==1)))))))] != FALSE + [FwdG(FwdU(FwdU(Init,TRUE),E((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((State_2_3==1)&&(State_3_12==1))||((State_3_14==1)&&(State_4_4==1)))||((State_1_6==1)&&(State_2_5==1)))||((State_4_3==1)&&(State_3_4==1)))||((State_6_5==1)&&(State_7_0==1)))||((State_11_2==1)&&(State_10_4==1)))||((State_13_9==1)&&(State_14_10==1)))||((State_14_6==1)&&(State_13_14==1)))||((State_7_9==1)&&(State_8_0==1)))||((State_14_14==1)&&(State_13_1==1)))||((State_5_3==1)&&(State_6_0==1)))||((State_5_8==1)&&(State_6_12==1)))||((State_11_11==1)&&(State_12_7==1)))||((State_14_8==1)&&(State_15_15==1)))||((State_13_2==1)&&(State_12_14==1)))||((State_7_5==1)&&(State_8_9==1)))||((State_8_10==1)&&(State_7_12==1)))||((State_12_10==1)&&(State_13_6==1)))||((State_14_11==1)&&(State_15_8==1)))||((State_8_1==1)&&(State_9_15==1)))||((State_4_6==1)&&(State_3_15==1)))||((State_8_5==1)&&(State_9_6==1)))||((State_9_13==1)&&(State_10_3==1)))||((State_1_13==1)&&(State_0_7==1)))||((State_4_3==1)&&(State_3_15==1)))||((State_12_7==1)&&(State_11_10==1)))||((State_11_3==1)&&(State_10_14==1)))||((State_3_5==1)&&(State_2_8==1)))||((State_7_2==1)&&(State_6_12==1)))||((State_9_7==1)&&(State_8_5==1)))||((State_15_13==1)&&(State_14_12==1)))||((State_14_1==1)&&(State_15_4==1)))||((State_9_2==1)&&(State_10_11==1)))||((State_4_9==1)&&(State_3_8==1)))||((State_10_14==1)&&(State_11_10==1)))||((State_7_9==1)&&(State_8_3==1)))||((State_7_10==1)&&(State_6_15==1)))||((State_2_2==1)&&(State_1_15==1)))||((State_12_5==1)&&(State_11_11==1)))||((State_12_3==1)&&(State_13_4==1)))||((State_3_4==1)&&(State_4_7==1)))||((State_10_14==1)&&(State_9_3==1)))||((State_3_5==1)&&(State_4_8==1)))||((State_10_10==1)&&(State_11_1==1)))||((State_3_9==1)&&(State_4_14==1)))||((State_11_14==1)&&(State_10_8==1)))||((State_13_8==1)&&(State_14_3==1)))||((State_8_13==1)&&(State_7_1==1)))||((State_3_8==1)&&(State_4_11==1)))||((State_4_6==1)&&(State_3_4==1)))||((State_6_11==1)&&(State_7_12==1)))||((State_1_1==1)&&(State_0_3==1)))||((State_12_8==1)&&(State_13_1==1)))||((State_2_3==1)&&(State_3_13==1)))||((State_3_0==1)&&(State_4_1==1)))||((State_4_3==1)&&(State_5_14==1)))||((State_5_2==1)&&(State_6_3==1)))||((State_0_11==1)&&(State_1_7==1)))||((State_1_5==1)&&(State_2_2==1)))||((State_8_7==1)&&(State_9_13==1)))||((State_10_0==1)&&(State_11_3==1)))||((State_7_14==1)&&(State_8_10==1)))||((State_14_7==1)&&(State_13_13==1)))||((State_5_0==1)&&(State_4_11==1)))||((State_9_1==1)&&(State_8_6==1)))||((State_13_5==1)&&(State_12_13==1)))||((State_7_9==1)&&(State_6_7==1)))||((State_8_10==1)&&(State_7_13==1)))||((State_10_8==1)&&(State_9_4==1)))||((State_5_2==1)&&(State_6_5==1)))||((State_7_11==1)&&(State_8_3==1)))||((State_12_8==1)&&(State_11_9==1)))||((State_1_4==1)&&(State_2_0==1)))||((State_14_1==1)&&(State_13_4==1)))||((State_14_7==1)&&(State_13_15==1)))||((State_1_10==1)&&(State_2_15==1)))||((State_1_6==1)&&(State_0_12==1)))||((State_1_2==1)&&(State_2_1==1)))||((State_10_7==1)&&(State_9_10==1)))||((State_0_10==1)&&(State_1_15==1)))||((State_11_8==1)&&(State_10_6==1)))||((State_6_12==1)&&(State_7_11==1)))||((State_12_15==1)&&(State_11_7==1)))||((State_1_9==1)&&(State_0_3==1)))||((State_1_1==1)&&(State_0_15==1)))||((State_1_12==1)&&(State_2_9==1)))||((State_6_0==1)&&(State_5_14==1)))||((State_2_4==1)&&(State_3_15==1)))||((State_12_1==1)&&(State_11_9==1)))||((State_7_2==1)&&(State_6_8==1)))||((State_5_11==1)&&(State_4_2==1)))||((State_8_13==1)&&(State_7_11==1)))||((State_12_2==1)&&(State_11_0==1)))||((State_3_9==1)&&(State_4_13==1)))||((State_3_3==1)&&(State_2_2==1)))||((State_6_14==1)&&(State_5_10==1)))||((State_10_11==1)&&(State_11_13==1)))||((State_5_10==1)&&(State_4_5==1)))||((State_3_6==1)&&(State_2_9==1)))||((State_10_14==1)&&(State_9_5==1)))||((State_12_0==1)&&(State_11_10==1)))||((State_12_8==1)&&(State_11_2==1)))||((State_9_2==1)&&(State_10_4==1)))||((State_8_1==1)&&(State_9_10==1)))||((State_8_10==1)&&(State_9_6==1)))||((State_11_7==1)&&(State_12_14==1)))||((State_0_11==1)&&(State_1_8==1)))||((State_6_5==1)&&(State_5_6==1)))||((State_12_4==1)&&(State_11_9==1)))||((State_10_9==1)&&(State_9_11==1)))||((State_14_8==1)&&(State_13_3==1)))||((State_2_13==1)&&(State_1_1==1)))||((State_11_15==1)&&(State_10_14==1)))||((State_2_11==1)&&(State_3_5==1)))||((State_15_0==1)&&(State_14_3==1)))||((State_3_1==1)&&(State_4_9==1)))||((State_3_15==1)&&(State_2_3==1)))||((State_2_3==1)&&(State_3_10==1)))||((State_14_8==1)&&(State_13_9==1)))||((State_13_4==1)&&(State_14_3==1)))||((State_2_5==1)&&(State_3_13==1)))||((State_5_2==1)&&(State_4_14==1)))||((State_3_6==1)&&(State_4_10==1)))||((State_8_15==1)&&(State_7_6==1)))||((State_6_2==1)&&(State_7_13==1)))||((State_5_8==1)&&(State_6_3==1)))||((State_12_2==1)&&(State_13_14==1)))||((State_1_5==1)&&(State_0_3==1)))||((State_9_0==1)&&(State_10_3==1)))||((State_2_4==1)&&(State_3_6==1)))||((State_3_7==1)&&(State_4_14==1)))||((State_3_15==1)&&(State_2_9==1)))||((State_6_4==1)&&(State_5_0==1)))||((State_3_6==1)&&(State_2_3==1)))||((State_6_2==1)&&(State_7_5==1)))||((State_12_12==1)&&(State_13_7==1)))||((State_11_11==1)&&(State_12_0==1)))||((State_10_7==1)&&(State_9_12==1)))||((State_15_13==1)&&(State_14_6==1)))||((State_6_4==1)&&(State_5_9==1)))||((State_8_5==1)&&(State_7_0==1)))||((State_2_12==1)&&(State_3_13==1)))||((State_1_2==1)&&(State_2_14==1)))||((State_2_11==1)&&(State_1_15==1)))||((State_14_11==1)&&(State_15_9==1)))||((State_10_7==1)&&(State_11_0==1)))||((State_5_2==1)&&(State_6_15==1)))||((State_9_6==1)&&(State_8_12==1)))||((State_5_3==1)&&(State_6_1==1)))||((State_8_7==1)&&(State_7_8==1)))||((State_13_10==1)&&(State_12_5==1)))||((State_2_0==1)&&(State_3_13==1)))||((State_1_9==1)&&(State_0_15==1)))||((State_5_12==1)&&(State_4_5==1)))||((State_11_12==1)&&(State_12_15==1)))||((State_7_2==1)&&(State_8_9==1)))||((State_2_4==1)&&(State_1_3==1)))||((State_14_4==1)&&(State_15_2==1)))||((State_14_8==1)&&(State_13_6==1)))||((State_15_13==1)&&(State_14_0==1)))||((State_2_10==1)&&(State_3_11==1)))||((State_8_14==1)&&(State_9_4==1)))||((State_0_14==1)&&(State_1_5==1)))||((State_10_4==1)&&(State_9_12==1)))||((State_10_1==1)&&(State_11_0==1)))||((State_2_14==1)&&(State_1_8==1)))||((State_13_11==1)&&(State_12_15==1)))||((State_14_2==1)&&(State_13_1==1)))||((State_6_14==1)&&(State_7_8==1)))||((State_4_7==1)&&(State_5_4==1)))||((State_10_15==1)&&(State_9_6==1)))||((State_12_15==1)&&(State_13_2==1)))||((State_5_4==1)&&(State_6_3==1)))||((State_4_12==1)&&(State_3_3==1)))||((State_13_10==1)&&(State_12_14==1)))||((State_8_0==1)&&(State_9_9==1)))||((State_6_3==1)&&(State_5_1==1)))||((State_6_11==1)&&(State_5_6==1)))||((State_4_8==1)&&(State_5_14==1)))||((State_9_8==1)&&(State_10_5==1)))||((State_14_5==1)&&(State_15_13==1)))||((State_15_6==1)&&(State_14_5==1)))||((State_2_13==1)&&(State_3_8==1)))||((State_3_0==1)&&(State_4_7==1)))||((State_10_1==1)&&(State_9_12==1)))||((State_15_10==1)&&(State_14_9==1)))||((State_9_1==1)&&(State_8_5==1)))||((State_12_15==1)&&(State_11_10==1)))||((State_11_3==1)&&(State_10_10==1)))||((State_2_6==1)&&(State_1_3==1)))||((State_1_13==1)&&(State_0_12==1)))||((State_1_6==1)&&(State_2_8==1)))||((State_4_0==1)&&(State_5_4==1)))||((State_7_10==1)&&(State_8_15==1)))||((State_6_9==1)&&(State_5_14==1)))||((State_11_2==1)&&(State_10_11==1)))||((State_8_4==1)&&(State_9_7==1)))||((State_11_7==1)&&(State_10_1==1)))||((State_13_10==1)&&(State_14_7==1)))||((State_10_6==1)&&(State_11_9==1)))||((State_0_1==1)&&(State_1_5==1)))||((State_2_7==1)&&(State_1_8==1)))||((State_11_10==1)&&(State_10_4==1)))||((State_8_8==1)&&(State_7_3==1)))||((State_7_3==1)&&(State_6_7==1)))||((State_4_0==1)&&(State_3_11==1)))||((State_11_11==1)&&(State_10_8==1)))||((State_14_9==1)&&(State_15_11==1)))||((State_5_5==1)&&(State_6_12==1)))||((State_9_1==1)&&(State_10_8==1)))||((State_13_5==1)&&(State_12_10==1)))||((State_3_4==1)&&(State_2_2==1)))||((State_14_1==1)&&(State_15_13==1)))||((State_2_4==1)&&(State_3_10==1)))||((State_6_4==1)&&(State_7_15==1)))||((State_11_12==1)&&(State_12_8==1)))||((State_3_8==1)&&(State_4_2==1)))||((State_15_10==1)&&(State_14_0==1)))||((State_3_14==1)&&(State_4_11==1)))||((State_13_11==1)&&(State_14_7==1)))||((State_12_8==1)&&(State_13_9==1)))||((State_3_9==1)&&(State_4_10==1)))||((State_4_8==1)&&(State_3_13==1)))||((State_7_10==1)&&(State_6_3==1)))||((State_14_15==1)&&(State_13_12==1)))||((State_13_9==1)&&(State_14_6==1)))||((State_13_15==1)&&(State_14_6==1)))||((State_2_11==1)&&(State_1_0==1)))||((State_14_2==1)&&(State_15_15==1)))||((State_0_14==1)&&(State_1_0==1)))||((State_14_5==1)&&(State_15_3==1)))||((State_3_7==1)&&(State_4_13==1)))||((State_14_13==1)&&(State_15_5==1)))||((State_5_0==1)&&(State_4_2==1)))||((State_7_2==1)&&(State_6_15==1)))||((State_2_6==1)&&(State_1_2==1)))||((State_8_11==1)&&(State_9_9==1)))||((State_9_15==1)&&(State_10_8==1)))||((State_15_12==1)&&(State_14_10==1)))||((State_11_12==1)&&(State_12_2==1)))||((State_1_3==1)&&(State_0_9==1)))||((State_6_2==1)&&(State_7_12==1)))||((State_4_7==1)&&(State_3_11==1)))||((State_4_0==1)&&(State_5_7==1)))||((State_3_1==1)&&(State_4_2==1)))||((State_8_4==1)&&(State_9_5==1)))||((State_11_8==1)&&(State_10_5==1)))||((State_5_2==1)&&(State_4_8==1)))||((State_4_0==1)&&(State_5_11==1)))||((State_14_5==1)&&(State_15_14==1)))||((State_6_13==1)&&(State_5_1==1)))||((State_1_2==1)&&(State_0_7==1)))||((State_1_3==1)&&(State_2_12==1)))||((State_4_15==1)&&(State_5_1==1)))||((State_6_8==1)&&(State_7_6==1)))||((State_2_11==1)&&(State_3_7==1)))||((State_12_8==1)&&(State_13_6==1)))||((State_1_4==1)&&(State_0_1==1)))||((State_9_2==1)&&(State_8_15==1)))||((State_4_15==1)&&(State_5_8==1)))||((State_3_8==1)&&(State_4_4==1)))||((State_6_12==1)&&(State_7_7==1)))||((State_6_10==1)&&(State_5_1==1)))||((State_8_10==1)&&(State_9_13==1)))||((State_7_14==1)&&(State_8_6==1)))||((State_8_1==1)&&(State_9_12==1)))||((State_6_9==1)&&(State_7_3==1)))||((State_0_15==1)&&(State_1_13==1)))||((State_7_12==1)&&(State_8_6==1)))||((State_8_10==1)&&(State_7_8==1)))||((State_7_4==1)&&(State_8_5==1)))||((State_10_10==1)&&(State_11_0==1)))||((State_8_1==1)&&(State_7_4==1)))||((State_2_5==1)&&(State_3_10==1)))||((State_15_10==1)&&(State_14_13==1)))||((State_6_7==1)&&(State_5_6==1)))||((State_1_7==1)&&(State_0_10==1)))||((State_12_4==1)&&(State_13_1==1)))||((State_12_13==1)&&(State_13_14==1)))||((State_9_0==1)&&(State_8_10==1)))||((State_13_12==1)&&(State_12_7==1)))||((State_3_1==1)&&(State_4_4==1)))||((State_12_6==1)&&(State_11_7==1)))||((State_6_6==1)&&(State_7_7==1)))||((State_12_14==1)&&(State_11_5==1)))||((State_15_10==1)&&(State_14_6==1)))||((State_5_5==1)&&(State_6_8==1)))||((State_12_7==1)&&(State_11_5==1)))||((State_11_12==1)&&(State_12_3==1)))||((State_12_11==1)&&(State_11_4==1)))||((State_6_14==1)&&(State_7_5==1)))||((State_7_10==1)&&(State_6_12==1)))||((State_5_4==1)&&(State_4_10==1)))||((State_5_13==1)&&(State_6_10==1)))||((State_6_1==1)&&(State_5_4==1)))||((State_2_4==1)&&(State_3_9==1)))||((State_1_7==1)&&(State_2_15==1)))||((State_7_2==1)&&(State_8_14==1)))||((State_8_12==1)&&(State_7_6==1)))||((State_12_5==1)&&(State_13_4==1)))||((State_11_1==1)&&(State_10_12==1)))||((State_13_8==1)&&(State_12_10==1)))||((State_10_9==1)&&(State_11_13==1)))||((State_5_11==1)&&(State_6_6==1)))||((State_3_0==1)&&(State_2_7==1)))||((State_3_15==1)&&(State_2_12==1)))||((State_5_3==1)&&(State_4_11==1)))||((State_2_7==1)&&(State_3_3==1)))||((State_7_14==1)&&(State_6_2==1)))||((State_7_6==1)&&(State_8_11==1)))||((State_12_6==1)&&(State_11_8==1)))||((State_0_14==1)&&(State_1_15==1)))||((State_1_14==1)&&(State_0_9==1)))||((State_11_3==1)&&(State_12_10==1)))||((State_8_10==1)&&(State_7_5==1)))||((State_5_4==1)&&(State_4_14==1)))||((State_11_6==1)&&(State_12_9==1)))||((State_8_5==1)&&(State_7_12==1)))||((State_3_3==1)&&(State_4_1==1)))||((State_0_1==1)&&(State_1_8==1)))||((State_6_2==1)&&(State_5_6==1)))||((State_9_10==1)&&(State_10_14==1)))||((State_0_8==1)&&(State_1_1==1)))||((State_3_10==1)&&(State_2_1==1)))||((State_12_6==1)&&(State_11_10==1)))||((State_14_0==1)&&(State_13_15==1)))||((State_7_10==1)&&(State_8_14==1)))||((State_5_8==1)&&(State_4_13==1)))||((State_8_4==1)&&(State_7_15==1)))||((State_10_6==1)&&(State_9_2==1)))||((State_14_2==1)&&(State_13_3==1)))||((State_12_9==1)&&(State_11_0==1)))||((State_5_4==1)&&(State_6_15==1)))||((State_11_7==1)&&(State_10_8==1)))||((State_4_12==1)&&(State_5_5==1)))||((State_9_6==1)&&(State_10_1==1)))||((State_11_6==1)&&(State_12_4==1)))||((State_3_0==1)&&(State_2_2==1)))||((State_12_1==1)&&(State_11_6==1)))||((State_2_7==1)&&(State_1_5==1)))||((State_6_11==1)&&(State_7_5==1)))||((State_5_0==1)&&(State_4_4==1)))||((State_13_3==1)&&(State_12_4==1)))||((State_12_15==1)&&(State_13_7==1)))||((State_7_3==1)&&(State_8_12==1)))||((State_11_11==1)&&(State_10_1==1)))||((State_11_15==1)&&(State_12_10==1)))||((State_14_4==1)&&(State_15_12==1)))||((State_3_6==1)&&(State_2_15==1)))||((State_6_12==1)&&(State_7_1==1)))||((State_8_13==1)&&(State_9_11==1)))||((State_8_10==1)&&(State_9_14==1)))||((State_4_15==1)&&(State_3_7==1)))||((State_7_14==1)&&(State_8_5==1)))||((State_0_3==1)&&(State_1_13==1)))||((State_10_15==1)&&(State_9_2==1)))||((State_14_13==1)&&(State_13_4==1)))||((State_6_12==1)&&(State_5_4==1)))||((State_2_13==1)&&(State_3_0==1)))||((State_12_2==1)&&(State_13_7==1)))||((State_3_6==1)&&(State_4_14==1)))||((State_8_10==1)&&(State_9_2==1)))||((State_10_11==1)&&(State_11_4==1)))||((State_7_14==1)&&(State_6_4==1)))||((State_13_13==1)&&(State_14_3==1)))||((State_6_5==1)&&(State_7_13==1)))||((State_10_9==1)&&(State_11_4==1)))||((State_3_7==1)&&(State_4_10==1)))||((State_14_7==1)&&(State_13_8==1)))||((State_5_5==1)&&(State_4_8==1)))||((State_14_14==1)&&(State_13_13==1)))||((State_10_10==1)&&(State_9_12==1)))||((State_14_2==1)&&(State_13_9==1)))||((State_8_1==1)&&(State_7_10==1)))||((State_2_4==1)&&(State_3_12==1)))||((State_6_14==1)&&(State_7_13==1)))||((State_12_9==1)&&(State_13_14==1)))||((State_14_4==1)&&(State_13_14==1)))||((State_13_12==1)&&(State_12_0==1)))||((State_8_15==1)&&(State_9_4==1)))||((State_4_13==1)&&(State_5_11==1)))||((State_4_0==1)&&(State_5_13==1)))||((State_10_12==1)&&(State_9_9==1)))||((State_5_2==1)&&(State_6_8==1)))||((State_14_8==1)&&(State_13_1==1)))||((State_9_7==1)&&(State_10_3==1)))||((State_3_0==1)&&(State_2_6==1)))||((State_10_15==1)&&(State_9_14==1)))||((State_0_1==1)&&(State_1_7==1)))||((State_0_13==1)&&(State_1_8==1)))||((State_13_3==1)&&(State_12_9==1)))||((State_5_4==1)&&(State_4_13==1)))||((State_2_2==1)&&(State_1_0==1)))||((State_0_10==1)&&(State_1_0==1)))||((State_5_8==1)&&(State_6_15==1)))||((State_13_11==1)&&(State_12_14==1)))||((State_12_12==1)&&(State_11_10==1)))||((State_3_4==1)&&(State_2_6==1)))||((State_9_6==1)&&(State_8_0==1)))||((State_14_2==1)&&(State_15_7==1)))||((State_11_6==1)&&(State_12_13==1)))||((State_5_8==1)&&(State_4_14==1)))||((State_9_15==1)&&(State_8_3==1)))||((State_6_11==1)&&(State_7_13==1)))||((State_3_9==1)&&(State_2_15==1)))||((State_12_10==1)&&(State_13_3==1)))||((State_6_1==1)&&(State_7_11==1)))||((State_14_0==1)&&(State_13_8==1)))||((State_3_1==1)&&(State_2_4==1)))||((State_10_7==1)&&(State_9_15==1)))||((State_4_8==1)&&(State_3_10==1)))||((State_12_11==1)&&(State_11_13==1)))||((State_13_10==1)&&(State_12_15==1)))||((State_3_14==1)&&(State_4_2==1)))||((State_10_14==1)&&(State_11_5==1)))||((State_12_10==1)&&(State_13_9==1)))||((State_4_4==1)&&(State_3_2==1)))||((State_14_13==1)&&(State_15_4==1)))||((State_13_3==1)&&(State_12_13==1)))||((State_7_1==1)&&(State_8_6==1)))||((State_11_13==1)&&(State_12_9==1)))||((State_14_0==1)&&(State_13_13==1)))||((State_14_14==1)&&(State_13_8==1)))||((State_7_2==1)&&(State_6_3==1)))||((State_0_11==1)&&(State_1_6==1)))||((State_14_2==1)&&(State_13_6==1)))||((State_8_4==1)&&(State_9_3==1)))||((State_8_7==1)&&(State_7_3==1)))||((State_1_10==1)&&(State_0_11==1)))||((State_6_5==1)&&(State_7_12==1)))||((State_9_7==1)&&(State_10_0==1)))||((State_11_11==1)&&(State_12_14==1)))||((State_4_6==1)&&(State_5_5==1)))||((State_5_2==1)&&(State_6_12==1)))||((State_11_7==1)&&(State_12_0==1)))||((State_7_10==1)&&(State_8_2==1)))||((State_3_6==1)&&(State_4_13==1)))||((State_15_10==1)&&(State_14_12==1)))||((State_4_13==1)&&(State_5_7==1)))||((State_12_8==1)&&(State_13_3==1)))||((State_11_14==1)&&(State_12_4==1)))||((State_11_8==1)&&(State_10_12==1)))||((State_1_5==1)&&(State_2_6==1)))||((State_8_14==1)&&(State_9_3==1)))||((State_12_10==1)&&(State_13_4==1)))||((State_15_5==1)&&(State_14_9==1)))||((State_12_6==1)&&(State_11_1==1)))||((State_4_7==1)&&(State_5_13==1)))||((State_9_1==1)&&(State_10_3==1)))||((State_13_2==1)&&(State_12_6==1)))||((State_15_6==1)&&(State_14_12==1)))||((State_1_7==1)&&(State_0_12==1)))||((State_10_11==1)&&(State_9_12==1)))||((State_12_12==1)&&(State_11_13==1)))||((State_13_10==1)&&(State_12_8==1)))||((State_7_10==1)&&(State_8_9==1)))||((State_6_5==1)&&(State_5_4==1)))||((State_2_15==1)&&(State_3_13==1)))||((State_6_12==1)&&(State_5_7==1)))||((State_10_8==1)&&(State_9_3==1)))||((State_12_11==1)&&(State_11_14==1)))||((State_1_9==1)&&(State_0_5==1)))||((State_12_3==1)&&(State_11_14==1)))||((State_11_12==1)&&(State_10_13==1)))||((State_6_12==1)&&(State_5_11==1)))||((State_0_4==1)&&(State_1_9==1)))||((State_9_7==1)&&(State_8_3==1)))||((State_8_7==1)&&(State_7_0==1)))||((State_7_13==1)&&(State_6_9==1)))||((State_8_8==1)&&(State_9_13==1)))||((State_5_0==1)&&(State_6_6==1)))||((State_13_5==1)&&(State_14_8==1)))||((State_10_0==1)&&(State_11_7==1)))||((State_4_3==1)&&(State_3_13==1)))||((State_6_11==1)&&(State_5_7==1)))||((State_2_7==1)&&(State_1_2==1)))||((State_4_9==1)&&(State_3_11==1)))||((State_10_13==1)&&(State_9_4==1)))||((State_3_15==1)&&(State_4_13==1)))||((State_14_4==1)&&(State_15_9==1)))||((State_10_9==1)&&(State_9_15==1)))||((State_6_5==1)&&(State_7_1==1)))||((State_6_11==1)&&(State_5_13==1)))||((State_6_1==1)&&(State_5_11==1)))||((State_8_14==1)&&(State_7_15==1)))||((State_10_7==1)&&(State_9_11==1)))||((State_9_13==1)&&(State_10_15==1)))||((State_4_6==1)&&(State_3_13==1)))||((State_10_11==1)&&(State_11_0==1)))||((State_9_7==1)&&(State_8_13==1)))||((State_13_5==1)&&(State_12_7==1)))||((State_13_10==1)&&(State_12_2==1)))||((State_2_0==1)&&(State_1_3==1)))||((State_6_9==1)&&(State_7_8==1)))||((State_9_7==1)&&(State_8_0==1)))||((State_9_6==1)&&(State_8_3==1)))||((State_1_2==1)&&(State_0_12==1)))||((State_12_15==1)&&(State_13_12==1)))||((State_8_0==1)&&(State_7_8==1)))||((State_6_2==1)&&(State_5_14==1)))||((State_6_1==1)&&(State_5_7==1)))||((State_3_5==1)&&(State_4_13==1)))||((State_14_1==1)&&(State_13_9==1)))||((State_7_12==1)&&(State_6_6==1)))||((State_14_14==1)&&(State_13_0==1)))||((State_5_9==1)&&(State_4_8==1)))||((State_5_5==1)&&(State_4_1==1)))||((State_14_0==1)&&(State_13_1==1)))||((State_9_14==1)&&(State_8_6==1)))||((State_6_1==1)&&(State_5_13==1)))||((State_6_9==1)&&(State_5_10==1)))||((State_8_5==1)&&(State_7_8==1)))||((State_12_2==1)&&(State_11_13==1)))||((State_8_14==1)&&(State_9_5==1)))||((State_4_9==1)&&(State_5_4==1)))||((State_1_2==1)&&(State_2_8==1)))||((State_14_2==1)&&(State_15_5==1)))||((State_5_15==1)&&(State_6_3==1)))||((State_6_11==1)&&(State_7_9==1)))||((State_13_11==1)&&(State_12_2==1)))||((State_1_2==1)&&(State_2_5==1)))||((State_8_13==1)&&(State_9_9==1)))||((State_14_1==1)&&(State_13_3==1)))||((State_3_11==1)&&(State_2_2==1)))||((State_6_2==1)&&(State_7_3==1)))||((State_8_13==1)&&(State_9_1==1)))||((State_10_0==1)&&(State_11_5==1)))||((State_0_11==1)&&(State_1_14==1)))||((State_2_7==1)&&(State_3_15==1)))||((State_7_0==1)&&(State_8_9==1)))||((State_15_15==1)&&(State_14_6==1)))||((State_13_5==1)&&(State_14_4==1)))||((State_12_5==1)&&(State_11_4==1)))||((State_8_10==1)&&(State_9_9==1)))||((State_6_5==1)&&(State_7_11==1)))||((State_5_3==1)&&(State_4_10==1)))||((State_2_0==1)&&(State_3_6==1)))||((State_4_0==1)&&(State_5_6==1)))||((State_9_0==1)&&(State_8_6==1)))||((State_8_10==1)&&(State_9_1==1)))||((State_4_6==1)&&(State_3_12==1)))||((State_14_13==1)&&(State_15_15==1)))||((State_6_1==1)&&(State_7_9==1)))||((State_8_9==1)&&(State_7_8==1)))||((State_3_15==1)&&(State_4_14==1)))||((State_2_8==1)&&(State_3_2==1)))||((State_14_11==1)&&(State_15_13==1)))||((State_13_10==1)&&(State_12_3==1)))||((State_4_7==1)&&(State_5_11==1)))||((State_1_8==1)&&(State_2_9==1)))||((State_10_0==1)&&(State_11_8==1)))||((State_2_7==1)&&(State_3_4==1)))||((State_0_8==1)&&(State_1_0==1)))||((State_2_3==1)&&(State_1_2==1)))||((State_1_3==1)&&(State_0_13==1)))||((State_10_6==1)&&(State_9_14==1)))||((State_13_11==1)&&(State_12_8==1)))||((State_6_5==1)&&(State_7_7==1)))||((State_9_0==1)&&(State_8_5==1)))||((State_14_12==1)&&(State_15_14==1)))||((State_3_0==1)&&(State_2_11==1)))||((State_0_1==1)&&(State_1_0==1)))||((State_15_3==1)&&(State_14_6==1)))||((State_5_1==1)&&(State_4_5==1)))||((State_9_14==1)&&(State_10_8==1)))||((State_8_10==1)&&(State_7_2==1)))||((State_7_5==1)&&(State_8_12==1)))||((State_2_0==1)&&(State_3_4==1)))||((State_6_2==1)&&(State_5_12==1)))||((State_9_2==1)&&(State_10_5==1)))||((State_1_12==1)&&(State_0_9==1)))||((State_14_2==1)&&(State_13_0==1)))||((State_13_13==1)&&(State_12_4==1)))||((State_11_6==1)&&(State_10_1==1)))||((State_6_5==1)&&(State_7_2==1)))||((State_7_10==1)&&(State_6_8==1)))||((State_0_8==1)&&(State_1_15==1)))||((State_1_14==1)&&(State_2_12==1)))||((State_3_5==1)&&(State_4_14==1)))||((State_12_5==1)&&(State_11_13==1)))||((State_11_4==1)&&(State_10_5==1)))||((State_12_1==1)&&(State_13_0==1)))||((State_13_12==1)&&(State_12_14==1)))||((State_3_7==1)&&(State_2_9==1)))||((State_4_6==1)&&(State_5_10==1)))||((State_8_8==1)&&(State_9_2==1)))||((State_13_2==1)&&(State_12_7==1)))||((State_5_2==1)&&(State_6_10==1)))||((State_11_6==1)&&(State_12_14==1)))||((State_14_1==1)&&(State_15_15==1)))||((State_6_5==1)&&(State_5_15==1)))||((State_2_0==1)&&(State_3_15==1)))||((State_3_3==1)&&(State_2_14==1)))||((State_4_3==1)&&(State_5_10==1)))||((State_14_12==1)&&(State_15_3==1)))||((State_6_15==1)&&(State_7_7==1)))||((State_2_4==1)&&(State_1_6==1)))||((State_9_5==1)&&(State_8_2==1)))||((State_6_11==1)&&(State_7_2==1)))||((State_1_11==1)&&(State_2_12==1)))||((State_13_2==1)&&(State_14_8==1)))||((State_5_10==1)&&(State_6_7==1)))||((State_10_2==1)&&(State_11_9==1)))||((State_14_5==1)&&(State_13_0==1)))||((State_6_11==1)&&(State_7_7==1)))||((State_3_13==1)&&(State_4_5==1)))||((State_9_7==1)&&(State_10_8==1)))||((State_0_9==1)&&(State_1_0==1)))||((State_2_2==1)&&(State_1_8==1)))||((State_10_9==1)&&(State_9_10==1)))||((State_1_11==1)&&(State_0_9==1)))||((State_1_1==1)&&(State_0_5==1)))||((State_11_3==1)&&(State_10_2==1)))||((State_8_8==1)&&(State_7_5==1)))||((State_10_10==1)&&(State_9_8==1)))||((State_13_2==1)&&(State_14_4==1)))||((State_13_7==1)&&(State_12_3==1)))||((State_8_2==1)&&(State_7_8==1)))||((State_11_15==1)&&(State_12_13==1)))||((State_10_1==1)&&(State_11_10==1)))||((State_12_8==1)&&(State_13_13==1)))||((State_14_15==1)&&(State_13_1==1)))||((State_4_3==1)&&(State_3_12==1)))||((State_6_12==1)&&(State_7_9==1)))||((State_5_15==1)&&(State_6_12==1)))||((State_12_10==1)&&(State_13_0==1)))||((State_2_15==1)&&(State_3_10==1)))||((State_14_14==1)&&(State_15_15==1)))||((State_8_11==1)&&(State_7_8==1)))||((State_8_4==1)&&(State_7_6==1)))||((State_11_6==1)&&(State_12_11==1)))||((State_8_13==1)&&(State_7_9==1)))||((State_9_12==1)&&(State_8_3==1)))||((State_6_1==1)&&(State_7_7==1)))||((State_3_11==1)&&(State_4_5==1)))||((State_6_12==1)&&(State_5_13==1)))||((State_8_5==1)&&(State_9_14==1)))||((State_12_1==1)&&(State_11_15==1)))||((State_13_3==1)&&(State_12_14==1)))||((State_7_13==1)&&(State_8_12==1)))||((State_6_11==1)&&(State_5_15==1)))||((State_10_1==1)&&(State_9_3==1)))||((State_14_13==1)&&(State_13_0==1)))||((State_15_6==1)&&(State_14_10==1)))||((State_8_12==1)&&(State_7_8==1)))||((State_5_10==1)&&(State_6_13==1)))||((State_8_8==1)&&(State_9_14==1)))||((State_5_13==1)&&(State_4_2==1)))||((State_5_15==1)&&(State_6_8==1)))||((State_9_6==1)&&(State_10_8==1)))||((State_8_7==1)&&(State_9_6==1)))||((State_12_2==1)&&(State_11_4==1)))||((State_12_8==1)&&(State_13_15==1)))||((State_3_3==1)&&(State_2_1==1)))||((State_10_7==1)&&(State_11_13==1)))||((State_10_14==1)&&(State_9_4==1)))||((State_0_13==1)&&(State_1_0==1)))||((State_3_4==1)&&(State_4_5==1)))||((State_1_4==1)&&(State_0_6==1)))||((State_8_10==1)&&(State_7_9==1)))||((State_2_13==1)&&(State_3_7==1)))||((State_4_6==1)&&(State_3_10==1)))||((State_8_5==1)&&(State_9_2==1)))||((State_14_14==1)&&(State_13_6==1)))||((State_9_8==1)&&(State_10_12==1)))||((State_5_15==1)&&(State_4_8==1)))||((State_8_6==1)&&(State_9_4==1)))||((State_8_1==1)&&(State_9_5==1)))||((State_8_7==1)&&(State_7_12==1)))||((State_1_10==1)&&(State_2_9==1)))||((State_12_3==1)&&(State_11_4==1)))||((State_7_14==1)&&(State_6_9==1)))||((State_5_9==1)&&(State_6_3==1)))||((State_11_15==1)&&(State_12_4==1)))||((State_14_11==1)&&(State_15_3==1)))||((State_10_9==1)&&(State_9_12==1)))||((State_4_9==1)&&(State_5_7==1)))||((State_1_1==1)&&(State_2_6==1)))||((State_4_3==1)&&(State_3_9==1)))||((State_12_2==1)&&(State_11_1==1)))||((State_4_9==1)&&(State_5_13==1)))||((State_10_7==1)&&(State_11_1==1)))||((State_0_5==1)&&(State_1_12==1)))||((State_4_6==1)&&(State_3_9==1)))||((State_3_6==1)&&(State_2_5==1)))||((State_10_3==1)&&(State_11_5==1)))||((State_2_7==1)&&(State_1_6==1)))||((State_11_12==1)&&(State_10_4==1)))||((State_12_1==1)&&(State_11_2==1)))||((State_3_0==1)&&(State_2_1==1)))||((State_8_5==1)&&(State_7_3==1)))||((State_6_5==1)&&(State_7_9==1)))||((State_10_13==1)&&(State_11_3==1)))||((State_14_11==1)&&(State_15_14==1)))||((State_7_3==1)&&(State_8_9==1)))||((State_11_15==1)&&(State_12_9==1)))||((State_5_13==1)&&(State_4_11==1)))||((State_5_3==1)&&(State_6_10==1)))||((State_15_5==1)&&(State_14_12==1)))||((State_2_2==1)&&(State_3_14==1)))||((State_7_14==1)&&(State_6_13==1)))||((State_10_1==1)&&(State_9_15==1)))||((State_10_9==1)&&(State_11_0==1)))||((State_3_6==1)&&(State_2_8==1)))||((State_10_8==1)&&(State_11_5==1)))||((State_9_13==1)&&(State_10_10==1)))||((State_11_6==1)&&(State_12_7==1)))||((State_11_8==1)&&(State_10_4==1)))||((State_10_15==1)&&(State_11_9==1)))||((State_10_10==1)&&(State_9_11==1)))||((State_6_2==1)&&(State_5_10==1)))||((State_5_2==1)&&(State_4_13==1)))||((State_14_0==1)&&(State_13_6==1)))||((State_2_8==1)&&(State_1_0==1)))||((State_13_2==1)&&(State_12_0==1)))||((State_8_1==1)&&(State_9_3==1)))||((State_3_15==1)&&(State_4_10==1)))||((State_3_12==1)&&(State_4_4==1)))||((State_1_4==1)&&(State_0_13==1)))||((State_15_2==1)&&(State_14_6==1)))||((State_4_3==1)&&(State_3_10==1)))||((State_12_12==1)&&(State_11_1==1)))||((State_3_6==1)&&(State_4_8==1)))||((State_2_11==1)&&(State_3_8==1)))||((State_1_11==1)&&(State_2_3==1)))||((State_6_11==1)&&(State_7_0==1)))||((State_4_8==1)&&(State_5_6==1)))||((State_6_12==1)&&(State_5_6==1)))||((State_14_15==1)&&(State_13_8==1)))||((State_13_5==1)&&(State_12_6==1)))||((State_1_5==1)&&(State_0_15==1)))||((State_1_9==1)&&(State_2_6==1)))||((State_13_0==1)&&(State_12_13==1)))||((State_8_14==1)&&(State_9_15==1)))||((State_11_8==1)&&(State_10_11==1)))||((State_12_5==1)&&(State_11_14==1)))||((State_9_13==1)&&(State_10_14==1)))||((State_7_5==1)&&(State_6_9==1)))||((State_4_7==1)&&(State_5_6==1)))||((State_14_14==1)&&(State_13_3==1)))||((State_1_1==1)&&(State_2_2==1)))||((State_14_4==1)&&(State_15_14==1)))||((State_2_7==1)&&(State_1_11==1)))||((State_14_1==1)&&(State_13_0==1)))||((State_4_15==1)&&(State_5_3==1)))||((State_12_1==1)&&(State_13_6==1)))||((State_12_6==1)&&(State_13_7==1)))||((State_6_1==1)&&(State_7_0==1)))||((State_7_13==1)&&(State_8_3==1)))||((State_0_1==1)&&(State_1_15==1)))||((State_6_13==1)&&(State_7_15==1)))||((State_15_10==1)&&(State_14_11==1)))||((State_4_6==1)&&(State_5_12==1)))||((State_13_13==1)&&(State_12_9==1)))||((State_7_14==1)&&(State_6_7==1)))||((State_8_13==1)&&(State_7_7==1)))||((State_2_4==1)&&(State_1_11==1)))||((State_15_6==1)&&(State_14_0==1)))||((State_0_11==1)&&(State_1_5==1)))||((State_10_10==1)&&(State_11_13==1)))||((State_7_5==1)&&(State_6_13==1)))||((State_2_10==1)&&(State_1_13==1)))||((State_3_0==1)&&(State_2_14==1)))||((State_1_10==1)&&(State_2_3==1)))||((State_14_14==1)&&(State_13_9==1)))||((State_1_11==1)&&(State_2_9==1)))||((State_4_10==1)&&(State_5_6==1)))||((State_6_4==1)&&(State_5_1==1)))||((State_2_0==1)&&(State_3_12==1)))||((State_3_12==1)&&(State_4_2==1)))||((State_7_6==1)&&(State_6_15==1)))||((State_10_0==1)&&(State_9_4==1)))||((State_8_13==1)&&(State_7_2==1)))||((State_2_3==1)&&(State_1_6==1)))||((State_9_5==1)&&(State_10_4==1)))||((State_6_14==1)&&(State_7_3==1)))||((State_14_15==1)&&(State_13_13==1)))||((State_12_15==1)&&(State_11_8==1)))||((State_14_2==1)&&(State_15_4==1)))||((State_13_5==1)&&(State_12_9==1)))||((State_5_10==1)&&(State_4_1==1)))||((State_9_5==1)&&(State_8_9==1)))||((State_13_0==1)&&(State_12_9==1)))||((State_0_5==1)&&(State_1_13==1)))||((State_7_1==1)&&(State_8_3==1)))||((State_1_9==1)&&(State_2_2==1)))||((State_8_13==1)&&(State_9_8==1)))||((State_9_7==1)&&(State_8_6==1)))||((State_11_7==1)&&(State_12_13==1)))||((State_3_1==1)&&(State_4_0==1)))||((State_2_15==1)&&(State_1_3==1)))||((State_14_5==1)&&(State_13_4==1)))||((State_14_4==1)&&(State_15_8==1)))||((State_6_14==1)&&(State_5_12==1)))||((State_14_13==1)&&(State_13_9==1)))||((State_7_1==1)&&(State_8_0==1)))||((State_9_14==1)&&(State_8_0==1)))||((State_6_15==1)&&(State_7_11==1)))||((State_10_11==1)&&(State_11_1==1)))||((State_6_10==1)&&(State_7_15==1)))||((State_4_12==1)&&(State_5_14==1)))||((State_1_4==1)&&(State_0_0==1)))||((State_15_6==1)&&(State_14_13==1)))||((State_12_1==1)&&(State_13_3==1)))||((State_10_9==1)&&(State_11_1==1)))||((State_11_6==1)&&(State_12_0==1)))||((State_3_9==1)&&(State_2_5==1)))||((State_12_6==1)&&(State_11_0==1)))||((State_7_13==1)&&(State_8_0==1)))||((State_13_8==1)&&(State_12_13==1)))||((State_13_11==1)&&(State_12_3==1)))||((State_5_2==1)&&(State_6_14==1)))||((State_7_14==1)&&(State_8_0==1)))||((State_7_14==1)&&(State_8_13==1)))||((State_1_7==1)&&(State_2_8==1)))||((State_9_0==1)&&(State_10_8==1)))||((State_0_14==1)&&(State_1_7==1)))||((State_4_15==1)&&(State_3_8==1)))||((State_15_5==1)&&(State_14_10==1)))||((State_1_6==1)&&(State_2_9==1)))||((State_11_6==1)&&(State_10_8==1)))||((State_13_6==1)&&(State_14_10==1)))||((State_3_9==1)&&(State_4_8==1)))||((State_5_4==1)&&(State_6_10==1)))||((State_14_8==1)&&(State_13_13==1)))||((State_1_3==1)&&(State_0_0==1)))||((State_12_6==1)&&(State_13_14==1)))||((State_12_15==1)&&(State_11_5==1)))||((State_1_7==1)&&(State_2_5==1)))||((State_6_8==1)&&(State_5_0==1)))||((State_8_7==1)&&(State_7_13==1)))||((State_8_1==1)&&(State_7_15==1)))||((State_12_1==1)&&(State_13_9==1)))||((State_12_14==1)&&(State_11_0==1)))||((State_3_9==1)&&(State_2_8==1)))||((State_14_8==1)&&(State_13_15==1)))||((State_9_2==1)&&(State_8_11==1)))||((State_7_14==1)&&(State_8_3==1)))||((State_13_5==1)&&(State_14_1==1)))||((State_7_5==1)&&(State_6_7==1)))||((State_7_13==1)&&(State_6_7==1)))||((State_2_4==1)&&(State_1_2==1)))||((State_1_1==1)&&(State_2_7==1)))||((State_11_0==1)&&(State_10_12==1)))||((State_9_14==1)&&(State_8_3==1)))||((State_11_2==1)&&(State_12_3==1)))||((State_4_12==1)&&(State_3_15==1)))||((State_14_13==1)&&(State_13_6==1)))||((State_6_7==1)&&(State_7_8==1)))||((State_6_12==1)&&(State_7_0==1)))||((State_2_12==1)&&(State_3_10==1)))||((State_9_2==1)&&(State_10_12==1)))||((State_6_8==1)&&(State_5_9==1)))||((State_7_1==1)&&(State_6_7==1)))||((State_13_8==1)&&(State_12_9==1)))||((State_12_0==1)&&(State_11_5==1)))||((State_11_7==1)&&(State_12_4==1)))||((State_13_2==1)&&(State_12_11==1)))||((State_0_1==1)&&(State_1_14==1)))||((State_14_12==1)&&(State_15_8==1)))||((State_6_5==1)&&(State_5_7==1)))||((State_8_7==1)&&(State_9_2==1)))||((State_7_4==1)&&(State_6_6==1)))||((State_2_0==1)&&(State_3_10==1)))||((State_1_14==1)&&(State_2_9==1)))||((State_3_7==1)&&(State_2_12==1)))||((State_13_8==1)&&(State_12_4==1)))||((State_14_5==1)&&(State_15_4==1)))||((State_9_8==1)&&(State_8_11==1)))||((State_11_3==1)&&(State_10_15==1)))||((State_10_10==1)&&(State_11_4==1)))||((State_12_12==1)&&(State_11_0==1)))||((State_4_12==1)&&(State_3_4==1)))||((State_6_5==1)&&(State_5_11==1)))||((State_13_3==1)&&(State_12_0==1)))||((State_14_2==1)&&(State_13_4==1)))||((State_6_0==1)&&(State_7_8==1)))||((State_4_3==1)&&(State_5_12==1)))||((State_0_14==1)&&(State_1_8==1)))||((State_14_7==1)&&(State_13_12==1)))||((State_3_5==1)&&(State_4_10==1)))||((State_11_14==1)&&(State_12_0==1)))||((State_7_5==1)&&(State_8_0==1)))||((State_5_2==1)&&(State_4_10==1)))||((State_13_2==1)&&(State_14_7==1)))||((State_8_7==1)&&(State_9_14==1)))||((State_12_12==1)&&(State_13_14==1)))||((State_4_9==1)&&(State_5_11==1)))||((State_4_3==1)&&(State_3_6==1)))||((State_10_3==1)&&(State_9_4==1)))||((State_6_5==1)&&(State_5_13==1)))||((State_6_2==1)&&(State_7_8==1)))||((State_13_5==1)&&(State_12_4==1)))||((State_13_0==1)&&(State_12_4==1)))||((State_2_6==1)&&(State_1_8==1)))||((State_14_13==1)&&(State_13_3==1)))||((State_2_10==1)&&(State_1_12==1)))||((State_10_5==1)&&(State_9_9==1)))||((State_1_14==1)&&(State_2_3==1)))||((State_8_10==1)&&(State_7_0==1)))||((State_4_6==1)&&(State_5_14==1)))||((State_11_7==1)&&(State_12_9==1)))||((State_7_5==1)&&(State_8_3==1)))||((State_9_10==1)&&(State_10_2==1)))||((State_6_9==1)&&(State_7_12==1)))||((State_14_1==1)&&(State_15_5==1)))||((State_8_7==1)&&(State_7_5==1)))||((State_10_15==1)&&(State_11_13==1)))||((State_3_9==1)&&(State_4_11==1)))||((State_2_12==1)&&(State_1_8==1)))||((State_10_12==1)&&(State_11_9==1)))||((State_11_4==1)&&(State_10_1==1)))||((State_6_14==1)&&(State_7_9==1)))||((State_14_3==1)&&(State_15_2==1)))||((State_12_15==1)&&(State_13_8==1)))||((State_6_2==1)&&(State_5_4==1)))||((State_3_1==1)&&(State_2_2==1)))||((State_9_11==1)&&(State_10_5==1)))||((State_2_13==1)&&(State_1_14==1)))||((State_14_7==1)&&(State_13_0==1)))||((State_9_13==1)&&(State_8_0==1)))||((State_10_8==1)&&(State_9_12==1)))||((State_10_9==1)&&(State_9_7==1)))||((State_10_2==1)&&(State_9_15==1)))||((State_1_10==1)&&(State_2_0==1)))||((State_14_8==1)&&(State_15_14==1)))||((State_7_5==1)&&(State_6_10==1)))||((State_6_3==1)&&(State_5_11==1)))||((State_10_3==1)&&(State_11_15==1)))||((State_6_7==1)&&(State_7_6==1)))||((State_12_2==1)&&(State_13_12==1)))||((State_4_1==1)&&(State_5_6==1)))||((State_5_4==1)&&(State_4_1==1)))||((State_12_4==1)&&(State_11_5==1)))||((State_5_10==1)&&(State_4_4==1)))||((State_14_10==1)&&(State_15_2==1)))||((State_1_1==1)&&(State_0_7==1)))||((State_3_12==1)&&(State_4_1==1)))||((State_6_3==1)&&(State_5_7==1)))||((State_5_8==1)&&(State_6_1==1)))||((State_2_7==1)&&(State_3_12==1)))||((State_0_9==1)&&(State_1_13==1)))||((State_14_5==1)&&(State_15_12==1)))||((State_1_4==1)&&(State_0_3==1)))||((State_14_14==1)&&(State_13_5==1)))||((State_15_0==1)&&(State_14_4==1)))||((State_13_10==1)&&(State_14_5==1)))||((State_11_1==1)&&(State_10_4==1)))||((State_10_0==1)&&(State_9_13==1)))||((State_15_1==1)&&(State_14_12==1)))||((State_12_5==1)&&(State_13_14==1)))||((State_11_11==1)&&(State_10_14==1)))||((State_7_5==1)&&(State_8_11==1)))||((State_10_15==1)&&(State_9_11==1)))||((State_15_0==1)&&(State_14_8==1)))||((State_11_4==1)&&(State_12_14==1)))||((State_11_8==1)&&(State_12_10==1)))||((State_0_8==1)&&(State_1_5==1)))||((State_9_10==1)&&(State_10_1==1)))||((State_8_7==1)&&(State_7_1==1)))||((State_4_12==1)&&(State_5_10==1)))||((State_12_11==1)&&(State_11_8==1)))||((State_14_1==1)&&(State_15_9==1)))||((State_7_2==1)&&(State_6_1==1)))||((State_6_13==1)&&(State_7_0==1)))||((State_12_5==1)&&(State_11_1==1)))||((State_12_0==1)&&(State_11_13==1)))||((State_3_4==1)&&(State_4_8==1)))||((State_3_7==1)&&(State_4_1==1)))||((State_14_4==1)&&(State_13_12==1)))||((State_14_12==1)&&(State_13_1==1)))||((State_5_13==1)&&(State_6_3==1)))||((State_7_14==1)&&(State_8_12==1)))||((State_3_8==1)&&(State_4_14==1)))||((State_1_9==1)&&(State_0_7==1)))||((State_0_14==1)&&(State_1_2==1)))||((State_2_7==1)&&(State_1_4==1)))||((State_3_1==1)&&(State_2_6==1)))||((State_1_1==1)&&(State_2_11==1)))||((State_2_6==1)&&(State_1_13==1)))||((State_6_10==1)&&(State_7_11==1)))||((State_5_2==1)&&(State_6_0==1)))||((State_1_15==1)&&(State_2_12==1)))||((State_8_1==1)&&(State_7_6==1)))||((State_10_3==1)&&(State_9_6==1)))||((State_15_10==1)&&(State_14_3==1)))||((State_13_11==1)&&(State_14_5==1)))||((State_5_0==1)&&(State_4_14==1)))||((State_6_4==1)&&(State_7_3==1)))||((State_10_1==1)&&(State_11_14==1)))||((State_11_3==1)&&(State_12_7==1)))||((State_14_8==1)&&(State_15_3==1)))||((State_7_14==1)&&(State_6_11==1)))||((State_15_10==1)&&(State_14_14==1)))||((State_2_13==1)&&(State_3_2==1)))||((State_11_0==1)&&(State_10_4==1)))||((State_4_11==1)&&(State_5_6==1)))||((State_12_11==1)&&(State_11_7==1)))||((State_2_7==1)&&(State_3_13==1)))||((State_13_8==1)&&(State_14_10==1)))||((State_10_14==1)&&(State_11_13==1)))||((State_1_11==1)&&(State_0_15==1)))||((State_6_4==1)&&(State_5_12==1)))||((State_6_2==1)&&(State_7_1==1)))||((State_8_7==1)&&(State_9_8==1)))||((State_8_5==1)&&(State_9_11==1)))||((State_9_0==1)&&(State_10_1==1)))||((State_4_0==1)&&(State_5_1==1)))||((State_4_7==1)&&(State_3_5==1)))||((State_7_1==1)&&(State_6_0==1)))||((State_14_2==1)&&(State_15_13==1)))||((State_8_12==1)&&(State_7_15==1)))||((State_11_7==1)&&(State_10_4==1)))||((State_0_10==1)&&(State_1_6==1)))||((State_1_4==1)&&(State_0_15==1)))||((State_12_1==1)&&(State_13_5==1)))||((State_1_15==1)&&(State_0_9==1)))||((State_4_12==1)&&(State_3_1==1)))||((State_9_13==1)&&(State_8_3==1)))||((State_13_4==1)&&(State_14_10==1)))||((State_8_13==1)&&(State_9_15==1)))||((State_0_1==1)&&(State_1_2==1)))||((State_8_12==1)&&(State_9_3==1)))||((State_0_10==1)&&(State_1_2==1)))||((State_0_1==1)&&(State_1_3==1)))||((State_9_7==1)&&(State_8_12==1)))||((State_14_15==1)&&(State_13_0==1)))||((State_8_7==1)&&(State_7_2==1)))||((State_6_1==1)&&(State_7_15==1)))||((State_6_14==1)&&(State_7_7==1)))||((State_1_5==1)&&(State_0_7==1)))||((State_12_1==1)&&(State_11_11==1)))||((State_11_3==1)&&(State_12_0==1)))||((State_6_8==1)&&(State_7_12==1)))||((State_14_0==1)&&(State_15_2==1)))||((State_1_14==1)&&(State_0_3==1)))||((State_10_0==1)&&(State_9_14==1)))||((State_4_9==1)&&(State_3_2==1)))||((State_10_10==1)&&(State_11_5==1)))||((State_4_12==1)&&(State_3_10==1)))||((State_10_14==1)&&(State_11_4==1)))||((State_6_11==1)&&(State_5_3==1)))||((State_13_8==1)&&(State_14_12==1)))||((State_9_0==1)&&(State_8_3==1)))||((State_9_10==1)&&(State_8_3==1)))||((State_6_14==1)&&(State_7_2==1)))||((State_1_9==1)&&(State_2_11==1)))||((State_1_11==1)&&(State_0_3==1)))||((State_13_2==1)&&(State_14_5==1)))||((State_2_4==1)&&(State_1_13==1)))||((State_15_1==1)&&(State_14_10==1)))||((State_6_12==1)&&(State_7_15==1)))||((State_2_11==1)&&(State_1_6==1)))||((State_14_14==1)&&(State_15_4==1)))||((State_13_5==1)&&(State_12_14==1)))||((State_1_12==1)&&(State_0_7==1)))||((State_10_9==1)&&(State_11_7==1)))||((State_12_11==1)&&(State_11_5==1)))||((State_11_15==1)&&(State_10_5==1)))||((State_8_8==1)&&(State_7_0==1)))||((State_6_2==1)&&(State_7_11==1)))||((State_3_2==1)&&(State_2_12==1)))||((State_5_8==1)&&(State_6_0==1)))||((State_13_11==1)&&(State_14_13==1)))||((State_5_11==1)&&(State_4_14==1)))||((State_4_2==1)&&(State_5_6==1)))||((State_1_5==1)&&(State_2_11==1)))||((State_9_0==1)&&(State_8_13==1)))||((State_5_0==1)&&(State_6_15==1)))||((State_5_15==1)&&(State_6_14==1)))||((State_2_13==1)&&(State_3_14==1)))||((State_0_6==1)&&(State_1_8==1)))||((State_10_0==1)&&(State_9_2==1)))||((State_3_6==1)&&(State_4_4==1)))||((State_7_4==1)&&(State_6_9==1)))||((State_6_15==1)&&(State_5_6==1)))||((State_10_6==1)&&(State_9_4==1)))||((State_13_11==1)&&(State_14_6==1)))||((State_4_12==1)&&(State_3_9==1)))||((State_8_6==1)&&(State_9_15==1)))||((State_2_7==1)&&(State_3_10==1)))||((State_12_12==1)&&(State_11_3==1)))||((State_11_12==1)&&(State_10_11==1)))||((State_4_9==1)&&(State_3_14==1)))||((State_1_2==1)&&(State_0_3==1)))||((State_8_4==1)&&(State_7_3==1)))||((State_4_12==1)&&(State_3_6==1)))||((State_10_10==1)&&(State_11_8==1)))||((State_8_13==1)&&(State_7_15==1)))||((State_15_1==1)&&(State_14_9==1)))||((State_3_14==1)&&(State_2_9==1)))||((State_10_2==1)&&(State_9_3==1)))||((State_2_0==1)&&(State_3_11==1)))||((State_4_0==1)&&(State_3_7==1)))||((State_14_5==1)&&(State_13_14==1)))||((State_13_11==1)&&(State_14_0==1)))||((State_7_2==1)&&(State_6_10==1)))||((State_7_4==1)&&(State_6_13==1)))||((State_10_9==1)&&(State_11_8==1)))||((State_10_10==1)&&(State_11_7==1)))||((State_0_8==1)&&(State_1_7==1)))||((State_5_15==1)&&(State_4_10==1)))||((State_4_3==1)&&(State_5_6==1)))||((State_12_15==1)&&(State_13_13==1)))||((State_9_5==1)&&(State_10_8==1)))||((State_6_13==1)&&(State_5_6==1)))||((State_2_10==1)&&(State_3_7==1)))||((State_8_12==1)&&(State_9_5==1)))||((State_9_6==1)&&(State_8_2==1)))||((State_0_14==1)&&(State_1_10==1)))||((State_11_3==1)&&(State_10_8==1)))||((State_1_14==1)&&(State_0_15==1)))||((State_5_11==1)&&(State_6_15==1)))||((State_12_7==1)&&(State_11_13==1)))||((State_14_13==1)&&(State_13_14==1)))||((State_12_5==1)&&(State_11_0==1)))||((State_4_15==1)&&(State_3_3==1)))||((State_5_3==1)&&(State_4_9==1)))||((State_10_13==1)&&(State_11_15==1)))||((State_14_7==1)&&(State_15_15==1)))||((State_5_0==1)&&(State_4_13==1)))||((State_5_10==1)&&(State_4_2==1)))||((State_10_9==1)&&(State_11_5==1)))||((State_6_3==1)&&(State_7_7==1)))||((State_15_7==1)&&(State_14_12==1)))||((State_3_1==1)&&(State_2_7==1)))||((State_7_0==1)&&(State_8_6==1)))||((State_5_2==1)&&(State_4_11==1)))||((State_12_8==1)&&(State_11_11==1)))||((State_14_2==1)&&(State_13_5==1)))||((State_3_5==1)&&(State_2_2==1)))||((State_4_9==1)&&(State_5_0==1)))||((State_2_3==1)&&(State_1_12==1)))||((State_1_2==1)&&(State_0_15==1)))||((State_9_6==1)&&(State_10_11==1)))||((State_9_10==1)&&(State_8_0==1)))||((State_1_7==1)&&(State_0_9==1)))||((State_14_2==1)&&(State_15_6==1)))||((State_6_4==1)&&(State_5_14==1)))||((State_1_9==1)&&(State_2_14==1)))||((State_10_13==1)&&(State_9_6==1)))||((State_11_4==1)&&(State_12_0==1)))||((State_2_10==1)&&(State_1_0==1)))||((State_5_3==1)&&(State_6_4==1)))||((State_12_3==1)&&(State_13_1==1)))||((State_1_10==1)&&(State_0_1==1)))||((State_13_7==1)&&(State_14_10==1)))||((State_14_9==1)&&(State_15_14==1)))||((State_5_9==1)&&(State_4_5==1)))||((State_7_10==1)&&(State_6_0==1)))||((State_6_8==1)&&(State_7_5==1)))||((State_1_9==1)&&(State_2_1==1)))||((State_14_12==1)&&(State_13_3==1)))||((State_8_7==1)&&(State_7_9==1)))||((State_9_5==1)&&(State_8_6==1)))||((State_2_7==1)&&(State_3_6==1)))||((State_6_6==1)&&(State_7_8==1)))||((State_8_5==1)&&(State_7_11==1)))||((State_3_7==1)&&(State_2_1==1)))||((State_3_0==1)&&(State_2_5==1)))||((State_11_8==1)&&(State_10_14==1)))||((State_14_14==1)&&(State_13_4==1)))||((State_9_6==1)&&(State_10_4==1)))||((State_12_3==1)&&(State_11_9==1)))||((State_15_6==1)&&(State_14_9==1)))||((State_7_6==1)&&(State_8_9==1)))||((State_10_9==1)&&(State_9_3==1)))||((State_8_10==1)&&(State_9_8==1)))||((State_2_5==1)&&(State_1_8==1)))||((State_10_1==1)&&(State_9_9==1)))||((State_1_5==1)&&(State_2_8==1)))||((State_11_3==1)&&(State_12_11==1)))||((State_11_11==1)&&(State_12_10==1)))||((State_11_12==1)&&(State_10_9==1)))||((State_13_0==1)&&(State_14_10==1)))||((State_14_7==1)&&(State_13_4==1)))||((State_8_13==1)&&(State_9_3==1)))||((State_2_8==1)&&(State_1_13==1)))||((State_10_2==1)&&(State_11_10==1)))||((State_11_12==1)&&(State_10_5==1)))||((State_3_8==1)&&(State_4_10==1)))||((State_13_2==1)&&(State_14_0==1)))||((State_0_8==1)&&(State_1_14==1)))||((State_14_13==1)&&(State_15_8==1)))||((State_14_2==1)&&(State_15_14==1)))||((State_14_1==1)&&(State_13_14==1)))||((State_10_3==1)&&(State_9_14==1)))||((State_2_4==1)&&(State_1_12==1)))||((State_8_2==1)&&(State_7_15==1)))||((State_3_11==1)&&(State_4_4==1)))||((State_14_9==1)&&(State_15_3==1)))||((State_11_4==1)&&(State_10_8==1)))||((State_14_2==1)&&(State_15_3==1)))||((State_14_12==1)&&(State_13_9==1)))||((State_10_3==1)&&(State_9_2==1)))||((State_3_9==1)&&(State_4_4==1)))||((State_6_14==1)&&(State_5_4==1)))||((State_10_9==1)&&(State_11_10==1)))||((State_1_12==1)&&(State_2_8==1)))||((State_8_8==1)&&(State_7_13==1)))||((State_13_12==1)&&(State_14_3==1)))||((State_3_5==1)&&(State_4_1==1)))||((State_6_2==1)&&(State_5_3==1)))||((State_5_0==1)&&(State_4_10==1)))||((State_3_12==1)&&(State_4_7==1)))||((State_3_14==1)&&(State_4_13==1)))||((State_8_2==1)&&(State_9_3==1)))||((State_14_12==1)&&(State_13_6==1)))||((State_10_9==1)&&(State_9_5==1)))||((State_12_1==1)&&(State_13_4==1)))||((State_7_13==1)&&(State_6_15==1)))||((State_6_13==1)&&(State_7_9==1)))||((State_0_14==1)&&(State_1_6==1)))||((State_13_5==1)&&(State_14_7==1)))||((State_11_12==1)&&(State_10_7==1)))||((State_13_10==1)&&(State_14_6==1)))||((State_6_14==1)&&(State_7_1==1)))||((State_2_13==1)&&(State_1_0==1)))||((State_12_8==1)&&(State_11_14==1)))||((State_6_0==1)&&(State_7_15==1)))||((State_8_8==1)&&(State_7_12==1)))||((State_6_12==1)&&(State_5_1==1)))||((State_10_15==1)&&(State_11_4==1)))||((State_11_2==1)&&(State_10_12==1)))||((State_13_1==1)&&(State_14_6==1)))||((State_6_11==1)&&(State_5_4==1)))||((State_5_5==1)&&(State_6_1==1)))||((State_3_0==1)&&(State_4_8==1)))||((State_11_15==1)&&(State_10_12==1)))||((State_3_7==1)&&(State_2_14==1)))||((State_6_11==1)&&(State_7_1==1)))||((State_13_4==1)&&(State_14_6==1)))||((State_1_1==1)&&(State_0_2==1)))||((State_2_7==1)&&(State_3_9==1)))||((State_13_5==1)&&(State_12_11==1)))||((State_3_0==1)&&(State_2_8==1)))||((State_8_10==1)&&(State_7_7==1)))||((State_9_0==1)&&(State_8_12==1)))||((State_8_13==1)&&(State_9_5==1)))||((State_8_6==1)&&(State_7_15==1)))||((State_2_3==1)&&(State_1_13==1)))||((State_2_10==1)&&(State_1_15==1)))||((State_6_5==1)&&(State_5_3==1)))||((State_15_7==1)&&(State_14_5==1)))||((State_3_6==1)&&(State_4_2==1)))||((State_0_4==1)&&(State_1_13==1)))||((State_8_6==1)&&(State_9_3==1)))||((State_5_15==1)&&(State_4_13==1)))||((State_13_2==1)&&(State_14_13==1)))||((State_10_2==1)&&(State_9_5==1)))||((State_3_11==1)&&(State_4_2==1)))||((State_6_10==1)&&(State_7_7==1)))||((State_3_10==1)&&(State_4_5==1)))||((State_13_10==1)&&(State_14_13==1)))||((State_8_14==1)&&(State_7_3==1)))||((State_14_7==1)&&(State_15_4==1)))||((State_8_15==1)&&(State_9_12==1)))||((State_0_14==1)&&(State_1_11==1)))||((State_3_8==1)&&(State_4_13==1)))||((State_1_9==1)&&(State_0_2==1)))||((State_4_13==1)&&(State_3_10==1)))||((State_8_10==1)&&(State_7_11==1)))||((State_14_15==1)&&(State_13_3==1)))||((State_12_6==1)&&(State_13_13==1)))||((State_10_0==1)&&(State_11_15==1)))||((State_13_2==1)&&(State_14_6==1)))||((State_7_13==1)&&(State_8_15==1)))||((State_15_6==1)&&(State_14_11==1)))||((State_11_3==1)&&(State_10_1==1)))||((State_8_1==1)&&(State_9_4==1)))||((State_13_8==1)&&(State_14_9==1)))||((State_5_7==1)&&(State_4_5==1)))||((State_6_13==1)&&(State_5_11==1)))||((State_14_13==1)&&(State_15_9==1)))||((State_15_7==1)&&(State_14_13==1)))||((State_5_11==1)&&(State_4_10==1)))||((State_3_2==1)&&(State_4_11==1)))||((State_6_14==1)&&(State_7_11==1)))||((State_12_15==1)&&(State_11_3==1)))||((State_13_5==1)&&(State_12_0==1)))||((State_7_14==1)&&(State_8_7==1)))||((State_3_4==1)&&(State_2_5==1)))||((State_2_10==1)&&(State_3_5==1)))||((State_1_5==1)&&(State_0_12==1)))||((State_8_2==1)&&(State_9_15==1)))||((State_10_0==1)&&(State_9_6==1)))||((State_3_1==1)&&(State_4_15==1)))||((State_12_11==1)&&(State_11_10==1)))||((State_6_13==1)&&(State_5_7==1)))||((State_8_7==1)&&(State_9_9==1)))||((State_15_7==1)&&(State_14_6==1)))||((State_10_13==1)&&(State_9_9==1)))||((State_3_6==1)&&(State_4_11==1)))||((State_8_7==1)&&(State_9_1==1)))||((State_4_15==1)&&(State_5_5==1)))||((State_11_6==1)&&(State_12_15==1)))||((State_2_13==1)&&(State_3_5==1)))||((State_12_6==1)&&(State_13_15==1)))||((State_1_1==1)&&(State_2_14==1)))||((State_10_13==1)&&(State_9_1==1)))||((State_3_4==1)&&(State_2_8==1)))||((State_13_7==1)&&(State_14_9==1)))||((State_2_7==1)&&(State_1_10==1)))||((State_4_12==1)&&(State_3_13==1)))||((State_4_7==1)&&(State_5_1==1)))||((State_2_13==1)&&(State_1_15==1)))||((State_14_7==1)&&(State_15_5==1)))||((State_8_12==1)&&(State_9_15==1)))||((State_13_10==1)&&(State_14_0==1)))||((State_5_15==1)&&(State_4_14==1)))||((State_15_1==1)&&(State_14_11==1)))||((State_14_5==1)&&(State_13_7==1)))||((State_14_15==1)&&(State_13_9==1)))||((State_10_14==1)&&(State_9_11==1)))||((State_1_6==1)&&(State_0_2==1)))||((State_7_9==1)&&(State_6_6==1)))||((State_3_1==1)&&(State_4_5==1)))||((State_3_9==1)&&(State_2_0==1)))||((State_6_3==1)&&(State_7_11==1)))||((State_8_10==1)&&(State_7_1==1)))||((State_2_15==1)&&(State_3_11==1)))||((State_0_4==1)&&(State_1_12==1)))||((State_14_5==1)&&(State_15_2==1)))||((State_8_8==1)&&(State_9_6==1)))||((State_3_15==1)&&(State_4_9==1)))||((State_1_12==1)&&(State_2_5==1)))||((State_2_10==1)&&(State_1_14==1)))||((State_13_13==1)&&(State_14_10==1)))||((State_7_4==1)&&(State_8_12==1)))||((State_14_5==1)&&(State_15_0==1)))||((State_3_9==1)&&(State_4_2==1)))||((State_5_5==1)&&(State_6_10==1)))||((State_14_1==1)&&(State_15_12==1)))||((State_11_15==1)&&(State_10_6==1)))||((State_14_9==1)&&(State_15_8==1)))||((State_5_2==1)&&(State_6_1==1)))||((State_9_10==1)&&(State_10_8==1)))||((State_14_15==1)&&(State_13_6==1)))||((State_10_2==1)&&(State_11_5==1)))||((State_11_3==1)&&(State_12_14==1)))||((State_11_2==1)&&(State_10_6==1)))||((State_9_13==1)&&(State_10_1==1)))||((State_1_10==1)&&(State_0_9==1)))||((State_3_1==1)&&(State_4_6==1)))||((State_5_8==1)&&(State_4_11==1)))||((State_12_12==1)&&(State_13_15==1)))||((State_7_5==1)&&(State_8_15==1)))||((State_3_14==1)&&(State_4_10==1)))||((State_5_3==1)&&(State_4_0==1)))||((State_4_9==1)&&(State_3_5==1)))||((State_10_8==1)&&(State_11_0==1)))||((State_9_2==1)&&(State_8_12==1)))||((State_14_14==1)&&(State_15_5==1)))||((State_5_10==1)&&(State_6_6==1)))||((State_2_7==1)&&(State_1_3==1)))||((State_6_7==1)&&(State_5_14==1)))||((State_12_6==1)&&(State_13_8==1)))||((State_9_7==1)&&(State_10_1==1)))||((State_12_7==1)&&(State_11_1==1)))||((State_15_7==1)&&(State_14_0==1)))||((State_1_10==1)&&(State_2_12==1)))||((State_10_10==1)&&(State_9_4==1)))||((State_7_2==1)&&(State_6_0==1)))||((State_12_12==1)&&(State_13_13==1)))||((State_9_7==1)&&(State_8_9==1)))||((State_9_10==1)&&(State_8_6==1)))||((State_12_3==1)&&(State_13_6==1)))||((State_3_8==1)&&(State_2_9==1)))||((State_3_5==1)&&(State_2_14==1)))||((State_8_4==1)&&(State_7_13==1)))||((State_14_5==1)&&(State_15_8==1)))||((State_14_12==1)&&(State_13_0==1)))||((State_12_8==1)&&(State_13_0==1)))||((State_7_13==1)&&(State_6_12==1)))||((State_7_0==1)&&(State_6_7==1)))||((State_3_14==1)&&(State_2_12==1)))||((State_11_2==1)&&(State_10_5==1)))||((State_13_5==1)&&(State_12_2==1)))||((State_1_1==1)&&(State_0_11==1)))||((State_2_11==1)&&(State_1_8==1)))||((State_12_7==1)&&(State_11_0==1)))||((State_4_9==1)&&(State_3_7==1)))||((State_10_14==1)&&(State_11_0==1)))||((State_3_4==1)&&(State_2_11==1)))||((State_13_5==1)&&(State_12_8==1)))||((State_11_6==1)&&(State_10_13==1)))||((State_5_1==1)&&(State_4_2==1)))||((State_11_14==1)&&(State_12_9==1)))||((State_10_1==1)&&(State_11_13==1)))||((State_14_13==1)&&(State_15_3==1)))||((State_6_14==1)&&(State_7_12==1)))||((State_14_2==1)&&(State_15_10==1)))||((State_9_1==1)&&(State_8_0==1)))||((State_6_8==1)&&(State_5_10==1)))||((State_5_5==1)&&(State_4_14==1)))||((State_11_1==1)&&(State_10_5==1)))||((State_7_10==1)&&(State_8_11==1)))||((State_11_14==1)&&(State_12_13==1)))||((State_8_8==1)&&(State_7_7==1)))||((State_7_15==1)&&(State_8_3==1)))||((State_11_7==1)&&(State_12_3==1)))||((State_9_6==1)&&(State_8_9==1)))||((State_13_11==1)&&(State_14_9==1)))||((State_7_5==1)&&(State_6_15==1)))||((State_14_7==1)&&(State_13_1==1)))||((State_12_15==1)&&(State_11_2==1)))||((State_2_13==1)&&(State_1_8==1)))||((State_13_7==1)&&(State_14_13==1)))||((State_8_5==1)&&(State_7_7==1)))||((State_6_4==1)&&(State_7_6==1)))||((State_15_12==1)&&(State_14_6==1)))||((State_1_6==1)&&(State_2_1==1)))||((State_6_2==1)&&(State_7_0==1)))||((State_14_11==1)&&(State_15_12==1)))||((State_5_7==1)&&(State_6_6==1)))||((State_13_7==1)&&(State_14_6==1)))||((State_10_14==1)&&(State_9_12==1)))||((State_14_9==1)&&(State_15_12==1)))||((State_10_15==1)&&(State_11_14==1)))||((State_6_13==1)&&(State_7_11==1)))||((State_4_11==1)&&(State_3_13==1)))||((State_5_5==1)&&(State_6_15==1)))||((State_10_10==1)&&(State_9_15==1)))||((State_6_3==1)&&(State_7_12==1)))||((State_3_0==1)&&(State_2_3==1)))||((State_1_7==1)&&(State_2_9==1)))||((State_5_3==1)&&(State_4_4==1)))||((State_13_11==1)&&(State_14_10==1)))||((State_7_9==1)&&(State_8_6==1)))||((State_4_3==1)&&(State_3_11==1)))||((State_8_15==1)&&(State_9_5==1)))||((State_5_9==1)&&(State_6_7==1)))||((State_1_5==1)&&(State_0_2==1)))||((State_10_7==1)&&(State_11_8==1)))||((State_8_7==1)&&(State_9_11==1)))||((State_1_14==1)&&(State_0_6==1)))||((State_10_15==1)&&(State_9_8==1)))||((State_4_3==1)&&(State_5_4==1)))||((State_14_2==1)&&(State_15_8==1)))||((State_14_11==1)&&(State_13_14==1)))||((State_6_15==1)&&(State_7_8==1)))||((State_8_12==1)&&(State_9_4==1)))||((State_8_2==1)&&(State_7_6==1)))||((State_12_1==1)&&(State_11_4==1)))||((State_11_8==1)&&(State_10_15==1)))||((State_8_4==1)&&(State_7_12==1)))||((State_1_9==1)&&(State_0_11==1)))||((State_3_15==1)&&(State_4_11==1)))||((State_12_7==1)&&(State_13_14==1)))||((State_10_13==1)&&(State_11_9==1)))||((State_5_12==1)&&(State_4_1==1)))||((State_12_12==1)&&(State_11_7==1)))||((State_13_2==1)&&(State_12_3==1)))||((State_12_15==1)&&(State_13_6==1)))||((State_6_11==1)&&(State_7_10==1)))||((State_2_7==1)&&(State_1_9==1)))||((State_3_12==1)&&(State_2_2==1)))||((State_9_7==1)&&(State_10_13==1)))||((State_3_5==1)&&(State_2_1==1)))||((State_1_7==1)&&(State_2_3==1)))||((State_9_13==1)&&(State_8_5==1)))||((State_7_0==1)&&(State_8_3==1)))||((State_6_11==1)&&(State_7_4==1)))||((State_8_1==1)&&(State_7_3==1)))||((State_7_13==1)&&(State_6_3==1)))||((State_0_4==1)&&(State_1_1==1)))||((State_14_13==1)&&(State_15_14==1)))||((State_1_3==1)&&(State_2_9==1)))||((State_5_15==1)&&(State_6_0==1)))||((State_13_12==1)&&(State_12_10==1)))||((State_2_4==1)&&(State_3_13==1)))||((State_10_11==1)&&(State_11_14==1)))||((State_5_3==1)&&(State_4_2==1)))||((State_3_0==1)&&(State_4_10==1)))||((State_6_1==1)&&(State_7_10==1)))||((State_7_13==1)&&(State_8_2==1)))||((State_1_10==1)&&(State_0_6==1)))||((State_3_12==1)&&(State_4_5==1)))||((State_11_3==1)&&(State_12_4==1)))||((State_5_0==1)&&(State_6_10==1)))||((State_2_14==1)&&(State_3_2==1)))||((State_2_11==1)&&(State_3_3==1)))||((State_3_2==1)&&(State_4_10==1)))||((State_13_7==1)&&(State_14_12==1)))||((State_8_9==1)&&(State_9_4==1)))||((State_9_8==1)&&(State_8_2==1)))||((State_8_8==1)&&(State_7_1==1)))||((State_12_12==1)&&(State_11_8==1)))||((State_12_2==1)&&(State_11_10==1)))||((State_8_5==1)&&(State_9_8==1)))||((State_6_5==1)&&(State_5_1==1)))||((State_10_3==1)&&(State_11_2==1)))||((State_14_12==1)&&(State_15_15==1)))||((State_15_6==1)&&(State_14_14==1)))||((State_10_7==1)&&(State_9_3==1)))||((State_11_13==1)&&(State_10_5==1)))||((State_7_2==1)&&(State_8_15==1)))||((State_14_9==1)&&(State_15_2==1)))||((State_10_15==1)&&(State_11_11==1)))||((State_11_10==1)&&(State_10_8==1)))||((State_12_12==1)&&(State_11_5==1)))||((State_15_1==1)&&(State_14_5==1)))||((State_6_11==1)&&(State_5_8==1)))||((State_11_11==1)&&(State_12_9==1)))||((State_6_9==1)&&(State_7_6==1)))||((State_14_11==1)&&(State_13_7==1)))||((State_12_10==1)&&(State_13_13==1)))||((State_12_6==1)&&(State_11_5==1)))||((State_0_8==1)&&(State_1_6==1)))||((State_8_10==1)&&(State_9_12==1)))||((State_6_0==1)&&(State_7_6==1)))||((State_12_11==1)&&(State_13_7==1)))||((State_4_9==1)&&(State_5_1==1)))||((State_10_11==1)&&(State_9_8==1)))||((State_15_6==1)&&(State_14_3==1)))||((State_1_15==1)&&(State_0_13==1)))||((State_7_12==1)&&(State_8_11==1)))||((State_10_14==1)&&(State_11_1==1)))||((State_6_14==1)&&(State_5_6==1)))||((State_6_11==1)&&(State_5_1==1)))||((State_1_8==1)&&(State_0_7==1)))||((State_8_10==1)&&(State_7_4==1)))||((State_11_11==1)&&(State_12_4==1)))||((State_10_13==1)&&(State_11_2==1)))||((State_9_0==1)&&(State_8_7==1)))||((State_14_8==1)&&(State_15_4==1)))||((State_0_14==1)&&(State_1_4==1)))||((State_10_7==1)&&(State_11_10==1)))||((State_2_15==1)&&(State_1_12==1)))||((State_3_6==1)&&(State_2_12==1)))||((State_12_0==1)&&(State_13_14==1)))||((State_13_2==1)&&(State_12_8==1)))||((State_8_13==1)&&(State_7_10==1)))||((State_11_3==1)&&(State_12_13==1)))||((State_9_8==1)&&(State_10_4==1)))||((State_6_2==1)&&(State_5_7==1)))||((State_6_13==1)&&(State_7_7==1)))||((State_12_5==1)&&(State_13_2==1)))||((State_13_0==1)&&(State_14_3==1)))||((State_12_10==1)&&(State_13_15==1)))||((State_8_8==1)&&(State_7_11==1)))||((State_8_5==1)&&(State_7_1==1)))||((State_10_9==1)&&(State_11_3==1)))||((State_12_3==1)&&(State_13_9==1)))||((State_12_8==1)&&(State_11_15==1)))||((State_5_2==1)&&(State_6_6==1)))||((State_2_10==1)&&(State_3_8==1)))||((State_6_2==1)&&(State_5_13==1)))||((State_5_13==1)&&(State_4_10==1)))||((State_3_9==1)&&(State_2_3==1)))||((State_14_1==1)&&(State_15_14==1)))||((State_8_4==1)&&(State_7_5==1)))||((State_11_9==1)&&(State_12_13==1)))||((State_12_5==1)&&(State_11_10==1)))||((State_13_10==1)&&(State_14_12==1)))||((State_7_3==1)&&(State_8_6==1)))||((State_0_10==1)&&(State_1_8==1)))||((State_1_6==1)&&(State_2_14==1)))||((State_7_5==1)&&(State_8_2==1)))||((State_6_3==1)&&(State_5_6==1)))||((State_14_4==1)&&(State_15_11==1)))||((State_7_13==1)&&(State_8_14==1)))||((State_5_15==1)&&(State_6_1==1)))||((State_14_15==1)&&(State_13_5==1)))||((State_3_1==1)&&(State_2_14==1)))||((State_0_11==1)&&(State_1_2==1)))||((State_8_4==1)&&(State_9_2==1)))||((State_6_8==1)&&(State_5_12==1)))||((State_14_10==1)&&(State_15_8==1)))||((State_11_11==1)&&(State_12_13==1)))||((State_10_7==1)&&(State_9_5==1)))||((State_5_8==1)&&(State_4_10==1)))||((State_13_5==1)&&(State_12_3==1)))||((State_5_5==1)&&(State_6_3==1)))||((State_0_8==1)&&(State_1_11==1)))||((State_1_9==1)&&(State_2_8==1)))||((State_14_8==1)&&(State_13_4==1)))||((State_4_0==1)&&(State_3_8==1)))||((State_9_1==1)&&(State_8_3==1)))||((State_14_0==1)&&(State_15_11==1)))||((State_7_5==1)&&(State_6_3==1)))||((State_4_2==1)&&(State_3_13==1)))||((State_14_14==1)&&(State_15_3==1)))||((State_4_15==1)&&(State_3_5==1)))||((State_7_4==1)&&(State_8_6==1)))||((State_14_1==1)&&(State_15_3==1)))||((State_4_3==1)&&(State_5_15==1)))||((State_7_1==1)&&(State_6_6==1)))||((State_10_2==1)&&(State_9_4==1)))||((State_11_3==1)&&(State_12_9==1)))||((State_6_2==1)&&(State_5_11==1)))||((State_1_15==1)&&(State_0_0==1)))||((State_8_4==1)&&(State_9_14==1)))||((State_14_3==1)&&(State_13_14==1)))||((State_10_14==1)&&(State_9_15==1)))||((State_14_7==1)&&(State_13_9==1)))||((State_0_6==1)&&(State_1_2==1)))||((State_7_3==1)&&(State_8_0==1)))||((State_2_13==1)&&(State_1_5==1)))||((State_10_0==1)&&(State_11_9==1)))||((State_5_5==1)&&(State_4_10==1)))||((State_0_2==1)&&(State_1_12==1)))||((State_6_14==1)&&(State_7_0==1)))||((State_4_3==1)&&(State_5_11==1)))||((State_8_2==1)&&(State_9_4==1)))||((State_12_11==1)&&(State_11_1==1)))||((State_4_6==1)&&(State_5_13==1)))||((State_1_7==1)&&(State_2_12==1)))||((State_15_7==1)&&(State_14_9==1)))||((State_5_12==1)&&(State_6_9==1)))||((State_1_5==1)&&(State_2_14==1)))||((State_5_1==1)&&(State_6_6==1)))||((State_4_3==1)&&(State_5_7==1)))||((State_4_6==1)&&(State_5_7==1)))||((State_4_15==1)&&(State_3_14==1)))||((State_1_4==1)&&(State_2_6==1)))||((State_15_1==1)&&(State_14_0==1)))||((State_7_14==1)&&(State_6_12==1)))||((State_8_14==1)&&(State_7_6==1)))||((State_11_6==1)&&(State_12_8==1)))||((State_7_4==1)&&(State_6_7==1)))||((State_8_4==1)&&(State_7_8==1)))||((State_1_9==1)&&(State_2_5==1)))||((State_12_10==1)&&(State_13_1==1)))||((State_0_14==1)&&(State_1_3==1)))||((State_2_1==1)&&(State_1_0==1)))||((State_12_4==1)&&(State_11_10==1)))||((State_15_13==1)&&(State_14_9==1)))||((State_5_13==1)&&(State_6_15==1)))||((State_5_4==1)&&(State_4_8==1)))||((State_14_10==1)&&(State_13_14==1)))||((State_12_5==1)&&(State_13_7==1)))||((State_12_10==1)&&(State_11_9==1)))||((State_0_1==1)&&(State_1_11==1)))||((State_3_7==1)&&(State_2_8==1)))||((State_5_12==1)&&(State_6_13==1)))||((State_4_15==1)&&(State_3_2==1)))||((State_10_5==1)&&(State_11_9==1)))||((State_14_15==1)&&(State_15_5==1)))||((State_2_15==1)&&(State_1_13==1)))||((State_12_6==1)&&(State_13_12==1)))||((State_7_2==1)&&(State_8_11==1)))||((State_1_1==1)&&(State_0_12==1)))||((State_8_13==1)&&(State_9_12==1)))||((State_2_6==1)&&(State_3_12==1)))||((State_7_4==1)&&(State_8_0==1)))||((State_8_8==1)&&(State_9_9==1)))||((State_8_5==1)&&(State_9_9==1)))||((State_3_0==1)&&(State_4_13==1)))||((State_9_13==1)&&(State_10_8==1)))||((State_4_7==1)&&(State_3_8==1)))||((State_12_8==1)&&(State_13_4==1)))||((State_8_8==1)&&(State_9_1==1)))||((State_5_13==1)&&(State_4_14==1)))||((State_4_13==1)&&(State_5_6==1)))||((State_4_3==1)&&(State_5_13==1)))||((State_6_8==1)&&(State_7_3==1)))||((State_6_2==1)&&(State_7_9==1)))||((State_8_10==1)&&(State_9_11==1)))||((State_6_5==1)&&(State_7_10==1)))||((State_8_13==1)&&(State_7_4==1)))||((State_4_6==1)&&(State_5_11==1)))||((State_5_14==1)&&(State_4_5==1)))||((State_7_14==1)&&(State_6_8==1)))||((State_3_9==1)&&(State_2_12==1)))||((State_11_6==1)&&(State_12_2==1)))||((State_1_10==1)&&(State_0_13==1)))||((State_3_7==1)&&(State_2_5==1)))||((State_3_0==1)&&(State_2_15==1)))||((State_9_1==1)&&(State_8_12==1)))||((State_9_11==1)&&(State_10_12==1)))||((State_6_5==1)&&(State_5_8==1)))||((State_3_7==1)&&(State_4_8==1)))||((State_13_10==1)&&(State_14_11==1)))||((State_8_6==1)&&(State_9_12==1)))||((State_1_11==1)&&(State_0_0==1)))||((State_1_4==1)&&(State_2_2==1)))||((State_10_11==1)&&(State_9_9==1)))||((State_4_1==1)&&(State_5_11==1)))||((State_15_1==1)&&(State_14_13==1)))||((State_11_5==1)&&(State_12_13==1)))||((State_3_4==1)&&(State_4_1==1)))||((State_6_5==1)&&(State_7_4==1)))||((State_12_15==1)&&(State_11_9==1)))||((State_14_12==1)&&(State_13_4==1)))||((State_14_11==1)&&(State_15_2==1)))||((State_15_10==1)&&(State_14_15==1)))||((State_8_0==1)&&(State_9_4==1)))||((State_7_4==1)&&(State_8_3==1)))||((State_14_11==1)&&(State_15_0==1)))||((State_3_8==1)&&(State_2_12==1)))||((State_15_7==1)&&(State_14_10==1)))||((State_8_4==1)&&(State_9_13==1)))||((State_3_15==1)&&(State_4_4==1)))||((State_3_1==1)&&(State_4_7==1)))||((State_1_10==1)&&(State_2_4==1)))||((State_11_8==1)&&(State_10_2==1)))||((State_4_1==1)&&(State_5_7==1)))||((State_3_2==1)&&(State_2_9==1)))||((State_12_15==1)&&(State_13_1==1)))||((State_2_6==1)&&(State_3_13==1)))||((State_9_2==1)&&(State_8_9==1)))||((State_10_7==1)&&(State_9_4==1)))||((State_7_13==1)&&(State_8_9==1)))||((State_1_10==1)&&(State_0_0==1)))||((State_12_1==1)&&(State_11_14==1)))||((State_14_7==1)&&(State_13_3==1)))||((State_5_12==1)&&(State_6_7==1)))||((State_5_9==1)&&(State_4_1==1)))||((State_0_1==1)&&(State_1_6==1)))||((State_1_9==1)&&(State_0_12==1)))||((State_11_6==1)&&(State_12_3==1)))||((State_1_6==1)&&(State_0_7==1)))||((State_1_11==1)&&(State_0_13==1)))||((State_10_10==1)&&(State_9_5==1)))||((State_4_1==1)&&(State_5_13==1)))||((State_14_8==1)&&(State_13_0==1)))||((State_10_4==1)&&(State_9_9==1)))||((State_13_12==1)&&(State_12_13==1)))||((State_5_9==1)&&(State_6_13==1)))||((State_5_3==1)&&(State_6_6==1)))||((State_3_4==1)&&(State_2_1==1)))||((State_8_15==1)&&(State_9_3==1)))||((State_15_5==1)&&(State_14_3==1)))||((State_10_7==1)&&(State_11_5==1)))||((State_5_15==1)&&(State_6_10==1)))||((State_15_7==1)&&(State_14_11==1)))||((State_14_15==1)&&(State_15_4==1)))||((State_13_7==1)&&(State_14_0==1)))||((State_9_5==1)&&(State_8_3==1)))||((State_13_15==1)&&(State_12_14==1)))||((State_2_0==1)&&(State_1_13==1)))||((State_6_8==1)&&(State_5_14==1)))||((State_5_2==1)&&(State_4_4==1)))||((State_14_9==1)&&(State_13_14==1)))||((State_0_11==1)&&(State_1_3==1)))||((State_11_13==1)&&(State_10_12==1)))||((State_11_10==1)&&(State_12_14==1)))||((State_10_3==1)&&(State_11_9==1)))||((State_8_8==1)&&(State_7_9==1)))||((State_2_13==1)&&(State_3_3==1)))||((State_1_14==1)&&(State_0_13==1)))||((State_3_15==1)&&(State_4_2==1)))||((State_14_5==1)&&(State_15_9==1)))||((State_2_11==1)&&(State_3_14==1)))||((State_1_1==1)&&(State_2_8==1)))||((State_1_8==1)&&(State_0_12==1)))||((State_5_8==1)&&(State_6_10==1)))||((State_6_2==1)&&(State_7_7==1)))||((State_14_14==1)&&(State_15_13==1)))||((State_3_4==1)&&(State_2_14==1)))||((State_10_10==1)&&(State_9_3==1)))||((State_2_6==1)&&(State_3_10==1)))||((State_8_5==1)&&(State_7_9==1)))||((State_0_2==1)&&(State_1_13==1)))||((State_15_1==1)&&(State_14_6==1)))||((State_12_2==1)&&(State_11_5==1)))||((State_9_8==1)&&(State_8_9==1)))||((State_15_13==1)&&(State_14_10==1)))||((State_14_2==1)&&(State_15_9==1)))||((State_9_5==1)&&(State_8_0==1)))||((State_12_11==1)&&(State_13_14==1)))||((State_0_6==1)&&(State_1_3==1)))||((State_11_3==1)&&(State_12_6==1)))||((State_9_13==1)&&(State_8_6==1)))||((State_12_3==1)&&(State_13_0==1)))||((State_7_14==1)&&(State_8_9==1)))||((State_4_15==1)&&(State_5_0==1)))||((State_1_5==1)&&(State_2_1==1)))||((State_2_11==1)&&(State_3_2==1)))||((State_1_1==1)&&(State_2_5==1)))||((State_11_12==1)&&(State_10_6==1)))||((State_13_11==1)&&(State_14_12==1)))||((State_10_9==1)&&(State_9_4==1)))||((State_14_7==1)&&(State_13_6==1)))||((State_10_13==1)&&(State_9_2==1)))||((State_12_2==1)&&(State_11_8==1)))||((State_10_0==1)&&(State_11_2==1)))||((State_8_8==1)&&(State_7_2==1)))||((State_2_14==1)&&(State_1_0==1)))||((State_13_12==1)&&(State_12_4==1)))||((State_14_15==1)&&(State_13_4==1)))||((State_6_14==1)&&(State_5_11==1)))||((State_7_13==1)&&(State_6_8==1)))||((State_2_0==1)&&(State_1_12==1)))||((State_12_11==1)&&(State_11_0==1)))||((State_9_3==1)&&(State_10_12==1)))||((State_4_12==1)&&(State_5_6==1)))||((State_14_1==1)&&(State_15_8==1)))||((State_3_0==1)&&(State_4_14==1)))||((State_2_13==1)&&(State_1_7==1)))||((State_10_13==1)&&(State_9_14==1)))||((State_4_4==1)&&(State_5_1==1)))||((State_6_14==1)&&(State_5_13==1)))||((State_3_3==1)&&(State_4_5==1)))||((State_5_5==1)&&(State_4_13==1)))||((State_8_13==1)&&(State_9_10==1)))||((State_13_12==1)&&(State_12_9==1)))||((State_1_11==1)&&(State_0_6==1)))||((State_9_5==1)&&(State_10_1==1)))||((State_6_14==1)&&(State_5_7==1)))||((State_1_14==1)&&(State_0_0==1)))||((State_12_2==1)&&(State_11_7==1)))||((State_12_5==1)&&(State_13_11==1)))||((State_13_10==1)&&(State_14_9==1)))||((State_10_15==1)&&(State_9_9==1)))||((State_4_15==1)&&(State_5_9==1)))||((State_8_7==1)&&(State_7_11==1)))||((State_1_11==1)&&(State_2_1==1)))||((State_4_4==1)&&(State_5_7==1)))||((State_13_12==1)&&(State_14_6==1)))||((State_5_0==1)&&(State_4_1==1)))||((State_1_4==1)&&(State_0_7==1)))||((State_1_10==1)&&(State_0_15==1)))||((State_10_0==1)&&(State_11_14==1)))||((State_4_15==1)&&(State_5_12==1)))||((State_14_1==1)&&(State_15_11==1)))||((State_7_10==1)&&(State_6_4==1)))||((State_3_15==1)&&(State_2_6==1)))||((State_11_3==1)&&(State_12_8==1)))||((State_4_15==1)&&(State_3_6==1)))||((State_8_7==1)&&(State_9_10==1)))||((State_11_11==1)&&(State_10_5==1)))||((State_12_9==1)&&(State_13_1==1)))||((State_2_4==1)&&(State_3_8==1)))||((State_14_15==1)&&(State_15_14==1)))||((State_2_10==1)&&(State_1_8==1)))||((State_14_4==1)&&(State_13_6==1)))||((State_2_5==1)&&(State_1_0==1)))||((State_10_7==1)&&(State_9_13==1)))||((State_4_4==1)&&(State_5_13==1)))||((State_10_0==1)&&(State_9_8==1)))||((State_14_11==1)&&(State_13_8==1)))||((State_9_1==1)&&(State_8_15==1)))||((State_7_3==1)&&(State_6_0==1)))||((State_4_9==1)&&(State_5_14==1)))||((State_1_14==1)&&(State_2_1==1)))||((State_2_15==1)&&(State_3_14==1)))||((State_6_14==1)&&(State_7_10==1)))||((State_14_4==1)&&(State_13_9==1)))||((State_6_15==1)&&(State_5_14==1)))||((State_7_4==1)&&(State_8_2==1)))||((State_0_8==1)&&(State_1_10==1)))||((State_14_0==1)&&(State_15_3==1)))||((State_4_4==1)&&(State_5_11==1)))||((State_6_13==1)&&(State_7_3==1)))||((State_12_12==1)&&(State_11_2==1)))||((State_8_15==1)&&(State_9_8==1)))||((State_9_8==1)&&(State_8_6==1)))||((State_1_11==1)&&(State_2_14==1)))||((State_3_11==1)&&(State_4_14==1)))||((State_4_3==1)&&(State_3_8==1)))||((State_8_4==1)&&(State_9_9==1)))||((State_8_1==1)&&(State_7_13==1)))||((State_3_12==1)&&(State_4_14==1)))||((State_15_8==1)&&(State_14_6==1)))||((State_9_7==1)&&(State_8_15==1)))||((State_0_15==1)&&(State_1_8==1)))||((State_10_10==1)&&(State_11_9==1)))||((State_3_4==1)&&(State_2_12==1)))||((State_14_15==1)&&(State_15_3==1)))||((State_14_0==1)&&(State_15_14==1)))||((State_8_4==1)&&(State_9_1==1)))||((State_8_13==1)&&(State_7_6==1)))||((State_14_2==1)&&(State_15_12==1)))||((State_10_12==1)&&(State_9_4==1)))||((State_8_11==1)&&(State_7_15==1)))||((State_14_5==1)&&(State_13_12==1)))||((State_6_13==1)&&(State_5_14==1)))||((State_8_14==1)&&(State_7_7==1)))||((State_15_14==1)&&(State_14_10==1)))||((State_15_1==1)&&(State_14_3==1)))||((State_9_13==1)&&(State_8_9==1)))||((State_5_3==1)&&(State_4_7==1)))||((State_8_15==1)&&(State_7_7==1)))||((State_12_7==1)&&(State_13_0==1)))||((State_12_12==1)&&(State_13_6==1)))||((State_2_15==1)&&(State_3_2==1)))||((State_10_15==1)&&(State_11_7==1)))||((State_1_5==1)&&(State_2_9==1)))||((State_11_8==1)&&(State_12_14==1)))||((State_14_11==1)&&(State_13_15==1)))||((State_14_9==1)&&(State_13_4==1)))||((State_8_1==1)&&(State_9_2==1)))||((State_1_4==1)&&(State_2_11==1)))||((State_12_6==1)&&(State_13_0==1)))||((State_6_14==1)&&(State_7_4==1)))||((State_5_5==1)&&(State_6_6==1)))||((State_1_12==1)&&(State_2_2==1)))||((State_7_4==1)&&(State_6_3==1)))||((State_12_8==1)&&(State_11_1==1)))||((State_0_11==1)&&(State_1_12==1)))||((State_6_11==1)&&(State_7_15==1)))||((State_8_1==1)&&(State_7_5==1)))||((State_8_8==1)&&(State_9_11==1)))||((State_10_3==1)&&(State_11_13==1)))||((State_3_3==1)&&(State_2_9==1)))||((State_8_11==1)&&(State_9_3==1)))||((State_13_7==1)&&(State_12_10==1)))||((State_5_3==1)&&(State_6_9==1)))||((State_8_1==1)&&(State_9_14==1)))||((State_14_11==1)&&(State_13_13==1)))||((State_6_14==1)&&(State_5_8==1)))||((State_12_15==1)&&(State_13_4==1)))||((State_11_15==1)&&(State_12_3==1)))||((State_1_1==1)&&(State_0_10==1)))||((State_5_2==1)&&(State_4_0==1)))||((State_5_7==1)&&(State_4_11==1)))||((State_0_8==1)&&(State_1_3==1)))||((State_9_7==1)&&(State_8_1==1)))||((State_11_3==1)&&(State_12_2==1)))||((State_10_13==1)&&(State_11_4==1)))||((State_15_11==1)&&(State_14_3==1)))||((State_1_5==1)&&(State_2_3==1)))||((State_11_2==1)&&(State_12_9==1)))||((State_14_2==1)&&(State_13_14==1)))||((State_12_12==1)&&(State_13_9==1)))||((State_9_15==1)&&(State_10_5==1)))||((State_1_13==1)&&(State_0_0==1)))||((State_4_12==1)&&(State_5_13==1)))||((State_3_0==1)&&(State_2_10==1)))||((State_2_13==1)&&(State_1_2==1)))||((State_1_3==1)&&(State_2_14==1)))||((State_7_1==1)&&(State_6_3==1)))||((State_5_13==1)&&(State_6_7==1)))||((State_3_1==1)&&(State_2_5==1)))||((State_9_14==1)&&(State_10_11==1)))||((State_12_1==1)&&(State_13_14==1)))||((State_5_8==1)&&(State_4_0==1)))||((State_7_5==1)&&(State_6_6==1)))||((State_15_7==1)&&(State_14_3==1)))||((State_11_7==1)&&(State_10_6==1)))||((State_9_10==1)&&(State_8_9==1)))||((State_15_7==1)&&(State_14_14==1)))||((State_14_7==1)&&(State_15_3==1)))||((State_0_4==1)&&(State_1_0==1)))||((State_9_14==1)&&(State_8_2==1)))||((State_1_1==1)&&(State_2_3==1)))||((State_7_1==1)&&(State_8_2==1)))||((State_1_14==1)&&(State_0_7==1)))||((State_14_7==1)&&(State_15_14==1)))||((State_6_14==1)&&(State_5_1==1)))||((State_5_3==1)&&(State_6_13==1)))||((State_2_7==1)&&(State_1_12==1)))||((State_4_6==1)&&(State_5_3==1)))||((State_13_15==1)&&(State_12_13==1)))||((State_0_14==1)&&(State_1_9==1)))||((State_9_7==1)&&(State_8_14==1)))||((State_12_10==1)&&(State_11_0==1)))||((State_7_14==1)&&(State_8_2==1)))||((State_11_14==1)&&(State_10_5==1)))||((State_11_8==1)&&(State_10_1==1)))||((State_8_15==1)&&(State_7_11==1)))||((State_12_12==1)&&(State_13_3==1)))||((State_12_6==1)&&(State_13_3==1)))||((State_8_6==1)&&(State_7_11==1)))||((State_12_7==1)&&(State_13_4==1)))||((State_7_12==1)&&(State_6_15==1)))||((State_7_14==1)&&(State_6_3==1)))||((State_11_2==1)&&(State_12_4==1)))||((State_10_15==1)&&(State_9_3==1)))||((State_10_2==1)&&(State_11_4==1)))||((State_2_13==1)&&(State_3_4==1)))||((State_15_10==1)&&(State_14_8==1)))||((State_5_9==1)&&(State_4_11==1)))||((State_11_10==1)&&(State_12_13==1)))||((State_12_15==1)&&(State_13_0==1)))||((State_5_14==1)&&(State_6_6==1)))||((State_7_4==1)&&(State_6_12==1)))||((State_8_4==1)&&(State_7_0==1)))||((State_14_8==1)&&(State_15_2==1)))||((State_5_15==1)&&(State_4_4==1)))||((State_13_15==1)&&(State_12_9==1)))||((State_1_11==1)&&(State_0_7==1)))||((State_1_9==1)&&(State_0_10==1)))||((State_3_15==1)&&(State_2_2==1)))||((State_12_5==1)&&(State_13_12==1)))||((State_2_6==1)&&(State_3_8==1)))||((State_4_15==1)&&(State_3_10==1)))||((State_10_3==1)&&(State_9_11==1)))||((State_7_10==1)&&(State_8_6==1)))||((State_4_12==1)&&(State_5_7==1)))||((State_1_4==1)&&(State_2_14==1)))||((State_9_3==1)&&(State_10_4==1)))||((State_8_10==1)&&(State_9_3==1)))||((State_1_14==1)&&(State_2_11==1)))||((State_12_8==1)&&(State_11_0==1)))||((State_10_15==1)&&(State_11_10==1)))||((State_11_4==1)&&(State_12_13==1)))||((State_8_14==1)&&(State_7_9==1)))||((State_2_8==1)&&(State_3_13==1)))||((State_2_13==1)&&(State_3_15==1)))||((State_15_10==1)&&(State_14_4==1)))||((State_9_7==1)&&(State_10_11==1)))||((State_8_10==1)&&(State_7_15==1)))||((State_8_7==1)&&(State_7_4==1)))||((State_7_4==1)&&(State_6_8==1)))||((State_4_15==1)&&(State_3_9==1)))||((State_7_14==1)&&(State_6_5==1)))||((State_4_11==1)&&(State_5_14==1)))||((State_6_5==1)&&(State_5_0==1)))||((State_1_4==1)&&(State_2_1==1)))||((State_14_4==1)&&(State_13_3==1)))||((State_12_10==1)&&(State_13_14==1)))||((State_8_9==1)&&(State_9_3==1)))||((State_11_12==1)&&(State_10_2==1)))||((State_11_2==1)&&(State_12_13==1)))||((State_5_3==1)&&(State_6_7==1)))||((State_6_5==1)&&(State_5_9==1)))||((State_4_12==1)&&(State_5_11==1)))||((State_8_7==1)&&(State_9_12==1)))||((State_10_8==1)&&(State_9_9==1)))||((State_8_1==1)&&(State_9_13==1)))||((State_9_14==1)&&(State_10_4==1)))||((State_12_1==1)&&(State_11_0==1)))||((State_1_9==1)&&(State_2_15==1)))||((State_13_15==1)&&(State_12_4==1)))||((State_2_0==1)&&(State_3_7==1)))||((State_6_4==1)&&(State_7_0==1)))||((State_9_6==1)&&(State_10_2==1)))||((State_9_0==1)&&(State_8_9==1)))||((State_8_9==1)&&(State_7_15==1)))||((State_3_0==1)&&(State_2_12==1)))||((State_7_13==1)&&(State_6_6==1)))||((State_3_8==1)&&(State_4_1==1)))||((State_10_6==1)&&(State_11_1==1)))||((State_3_1==1)&&(State_2_8==1)))||((State_12_8==1)&&(State_13_14==1)))||((State_10_15==1)&&(State_9_5==1)))||((State_9_0==1)&&(State_10_13==1)))||((State_10_7==1)&&(State_11_2==1)))||((State_1_3==1)&&(State_2_1==1)))||((State_12_2==1)&&(State_13_1==1)))||((State_3_1==1)&&(State_4_8==1)))||((State_12_3==1)&&(State_11_5==1)))||((State_5_15==1)&&(State_4_2==1)))||((State_6_11==1)&&(State_5_9==1)))||((State_14_12==1)&&(State_15_11==1)))||((State_3_6==1)&&(State_4_5==1)))||((State_1_8==1)&&(State_2_1==1)))||((State_2_15==1)&&(State_3_5==1)))||((State_11_2==1)&&(State_12_10==1)))||((State_6_3==1)&&(State_7_8==1)))||((State_3_1==1)&&(State_2_11==1)))||((State_5_7==1)&&(State_4_2==1)))||((State_11_12==1)&&(State_10_14==1)))||((State_12_5==1)&&(State_11_8==1)))||((State_14_7==1)&&(State_15_9==1)))||((State_8_5==1)&&(State_9_15==1)))||((State_4_0==1)&&(State_3_3==1)))||((State_15_10==1)&&(State_14_1==1)))||((State_11_6==1)&&(State_10_4==1)))||((State_6_8==1)&&(State_7_11==1)))||((State_4_15==1)&&(State_3_12==1)))||((State_2_7==1)&&(State_1_13==1)))||((State_12_8==1)&&(State_13_7==1)))||((State_6_10==1)&&(State_7_8==1)))||((State_14_4==1)&&(State_13_1==1)))||((State_6_2==1)&&(State_7_15==1)))||((State_10_0==1)&&(State_11_4==1)))||((State_13_12==1)&&(State_14_10==1)))||((State_9_2==1)&&(State_8_6==1)))||((State_14_9==1)&&(State_15_15==1)))||((State_10_10==1)&&(State_11_2==1)))||((State_14_8==1)&&(State_15_12==1)))||((State_5_12==1)&&(State_4_10==1)))||((State_9_0==1)&&(State_8_14==1)))||((State_9_13==1)&&(State_8_2==1)))||((State_12_1==1)&&(State_11_13==1)))||((State_7_6==1)&&(State_8_3==1)))||((State_8_12==1)&&(State_9_8==1)))||((State_1_7==1)&&(State_0_3==1)))||((State_6_5==1)&&(State_7_15==1)))||((State_7_4==1)&&(State_8_15==1)))||((State_8_7==1)&&(State_7_10==1)))||((State_8_1==1)&&(State_7_8==1)))||((State_13_7==1)&&(State_14_3==1)))||((State_3_3==1)&&(State_2_12==1)))||((State_0_5==1)&&(State_1_14==1)))||((State_1_15==1)&&(State_2_5==1)))||((State_9_13==1)&&(State_10_11==1)))||((State_3_12==1)&&(State_4_8==1)))||((State_13_10==1)&&(State_14_2==1)))||((State_2_12==1)&&(State_1_0==1)))||((State_12_4==1)&&(State_13_14==1)))||((State_0_3==1)&&(State_1_8==1)))||((State_6_7==1)&&(State_7_15==1)))||((State_11_7==1)&&(State_10_12==1)))||((State_9_7==1)&&(State_8_2==1)))||((State_2_8==1)&&(State_1_3==1)))||((State_8_15==1)&&(State_9_9==1)))||((State_1_4==1)&&(State_0_2==1)))||((State_3_13==1)&&(State_2_9==1)))||((State_6_8==1)&&(State_7_1==1)))||((State_3_11==1)&&(State_4_10==1)))||((State_8_14==1)&&(State_9_9==1)))||((State_3_4==1)&&(State_2_3==1)))||((State_13_9==1)&&(State_12_4==1)))||((State_9_13==1)&&(State_10_4==1)))||((State_7_7==1)&&(State_8_3==1)))||((State_2_2==1)&&(State_3_13==1)))||((State_1_7==1)&&(State_0_15==1)))||((State_14_2==1)&&(State_13_11==1)))||((State_1_15==1)&&(State_0_12==1)))||((State_7_1==1)&&(State_6_15==1)))||((State_10_1==1)&&(State_11_9==1)))||((State_2_0==1)&&(State_3_2==1)))||((State_14_3==1)&&(State_15_8==1)))||((State_10_13==1)&&(State_9_11==1)))||((State_4_15==1)&&(State_5_10==1)))||((State_3_15==1)&&(State_4_7==1)))||((State_6_8==1)&&(State_5_4==1)))||((State_11_11==1)&&(State_10_12==1)))||((State_0_1==1)&&(State_1_13==1)))||((State_10_2==1)&&(State_11_13==1)))||((State_6_4==1)&&(State_5_6==1)))||((State_12_6==1)&&(State_13_4==1)))||((State_2_0==1)&&(State_3_14==1)))||((State_7_4==1)&&(State_6_15==1)))||((State_10_6==1)&&(State_11_0==1)))||((State_11_13==1)&&(State_10_4==1)))||((State_12_5==1)&&(State_11_7==1)))||((State_3_14==1)&&(State_2_1==1)))||((State_10_6==1)&&(State_9_12==1)))||((State_10_14==1)&&(State_9_9==1)))||((State_3_4==1)&&(State_2_9==1)))||((State_4_12==1)&&(State_5_4==1)))||((State_11_10==1)&&(State_12_9==1)))||((State_14_2==1)&&(State_15_1==1)))||((State_5_2==1)&&(State_4_9==1)))||((State_9_7==1)&&(State_10_4==1)))||((State_1_11==1)&&(State_0_2==1)))||((State_3_9==1)&&(State_4_5==1)))||((State_14_14==1)&&(State_15_9==1)))||((State_14_15==1)&&(State_15_13==1)))||((State_2_10==1)&&(State_1_6==1)))||((State_2_0==1)&&(State_3_5==1)))||((State_5_5==1)&&(State_4_9==1)))||((State_14_2==1)&&(State_15_0==1)))||((State_2_13==1)&&(State_1_6==1)))||((State_0_5==1)&&(State_1_15==1)))||((State_11_1==1)&&(State_12_14==1)))||((State_3_1==1)&&(State_4_3==1)))||((State_12_11==1)&&(State_13_13==1)))||((State_8_10==1)&&(State_9_15==1)))||((State_12_6==1)&&(State_11_15==1)))||((State_2_15==1)&&(State_1_0==1)))||((State_1_1==1)&&(State_2_15==1)))||((State_9_15==1)&&(State_8_11==1)))||((State_1_2==1)&&(State_0_0==1)))||((State_3_8==1)&&(State_2_1==1)))||((State_10_7==1)&&(State_9_2==1)))||((State_12_15==1)&&(State_13_9==1)))||((State_6_1==1)&&(State_7_6==1)))||((State_6_12==1)&&(State_7_6==1)))||((State_14_3==1)&&(State_15_14==1)))||((State_4_12==1)&&(State_3_11==1)))||((State_9_14==1)&&(State_8_15==1)))||((State_7_1==1)&&(State_8_15==1)))||((State_15_6==1)&&(State_14_15==1)))||((State_2_0==1)&&(State_1_15==1)))||((State_13_9==1)&&(State_12_13==1)))||((State_2_11==1)&&(State_3_13==1)))||((State_2_8==1)&&(State_3_10==1)))||((State_13_3==1)&&(State_14_6==1)))||((State_7_14==1)&&(State_8_15==1)))||((State_14_14==1)&&(State_15_8==1)))||((State_5_9==1)&&(State_4_2==1)))||((State_2_3==1)&&(State_3_8==1)))||((State_3_2==1)&&(State_4_14==1)))||((State_0_8==1)&&(State_1_2==1)))||((State_11_8==1)&&(State_12_0==1)))||((State_8_11==1)&&(State_9_4==1)))||((State_9_0==1)&&(State_10_11==1)))||((State_11_6==1)&&(State_10_11==1)))||((State_4_8==1)&&(State_5_1==1)))||((State_9_1==1)&&(State_10_5==1)))||((State_1_14==1)&&(State_0_2==1)))||((State_5_15==1)&&(State_4_11==1)))||((State_14_7==1)&&(State_15_8==1)))||((State_12_12==1)&&(State_13_0==1)))||((State_12_15==1)&&(State_13_3==1)))||((State_3_0==1)&&(State_2_9==1)))||((State_5_8==1)&&(State_6_4==1)))||((State_14_2==1)&&(State_13_7==1)))||((State_5_3==1)&&(State_4_1==1)))||((State_14_1==1)&&(State_13_12==1)))||((State_14_8==1)&&(State_13_14==1)))||((State_13_12==1)&&(State_14_9==1)))||((State_14_9==1)&&(State_13_0==1)))||((State_2_10==1)&&(State_1_11==1)))||((State_10_2==1)&&(State_9_11==1)))||((State_2_14==1)&&(State_1_13==1)))||((State_10_7==1)&&(State_9_14==1)))||((State_0_6==1)&&(State_1_0==1)))||((State_5_12==1)&&(State_4_13==1)))||((State_8_0==1)&&(State_7_15==1)))||((State_12_2==1)&&(State_13_3==1)))||((State_12_11==1)&&(State_13_15==1)))||((State_8_12==1)&&(State_7_11==1)))||((State_11_12==1)&&(State_10_15==1)))||((State_9_0==1)&&(State_8_2==1)))||((State_9_15==1)&&(State_10_12==1)))||((State_3_8==1)&&(State_2_14==1)))||((State_12_2==1)&&(State_13_9==1)))||((State_4_4==1)&&(State_5_6==1)))||((State_7_4==1)&&(State_8_14==1)))||((State_9_0==1)&&(State_10_4==1)))||((State_15_9==1)&&(State_14_3==1)))||((State_8_14==1)&&(State_7_0==1)))||((State_14_13==1)&&(State_15_11==1)))||((State_2_13==1)&&(State_1_11==1)))||((State_2_0==1)&&(State_1_14==1)))||((State_3_12==1)&&(State_2_8==1)))||((State_14_0==1)&&(State_15_8==1)))||((State_10_0==1)&&(State_11_13==1)))||((State_7_6==1)&&(State_8_0==1)))||((State_7_9==1)&&(State_6_10==1)))||((State_4_15==1)&&(State_3_13==1)))||((State_4_11==1)&&(State_3_10==1)))||((State_4_12==1)&&(State_5_15==1)))||((State_8_5==1)&&(State_7_15==1)))||((State_6_2==1)&&(State_5_0==1)))||((State_14_10==1)&&(State_15_3==1)))||((State_5_9==1)&&(State_4_4==1)))||((State_2_15==1)&&(State_3_7==1)))||((State_8_4==1)&&(State_9_6==1)))||((State_4_6==1)&&(State_5_4==1)))||((State_7_14==1)&&(State_8_1==1)))||((State_1_0==1)&&(State_2_9==1)))||((State_7_9==1)&&(State_8_11==1)))||((State_1_15==1)&&(State_2_8==1)))||((State_10_3==1)&&(State_11_4==1)))||((State_1_2==1)&&(State_0_13==1)))||((State_6_2==1)&&(State_5_9==1)))||((State_3_12==1)&&(State_2_5==1)))||((State_7_14==1)&&(State_6_15==1)))||((State_12_4==1)&&(State_11_0==1)))||((State_3_10==1)&&(State_4_2==1)))||((State_4_3==1)&&(State_3_0==1)))||((State_1_4==1)&&(State_0_5==1)))||((State_3_11==1)&&(State_4_13==1)))||((State_0_1==1)&&(State_1_12==1)))||((State_0_5==1)&&(State_1_0==1)))||((State_11_11==1)&&(State_10_6==1)))||((State_14_11==1)&&(State_13_1==1)))||((State_5_12==1)&&(State_6_15==1)))||((State_12_2==1)&&(State_13_6==1)))||((State_6_4==1)&&(State_7_12==1)))||((State_8_5==1)&&(State_9_3==1)))||((State_4_6==1)&&(State_3_11==1)))||((State_12_11==1)&&(State_13_8==1)))||((State_12_12==1)&&(State_11_15==1)))||((State_10_3==1)&&(State_11_11==1)))||((State_1_3==1)&&(State_0_12==1)))||((State_6_10==1)&&(State_5_11==1)))||((State_5_12==1)&&(State_4_14==1)))||((State_10_9==1)&&(State_9_14==1)))||((State_8_1==1)&&(State_9_9==1)))||((State_9_11==1)&&(State_10_4==1)))||((State_2_4==1)&&(State_3_11==1)))||((State_4_6==1)&&(State_3_7==1)))||((State_2_13==1)&&(State_3_1==1)))||((State_13_2==1)&&(State_14_12==1)))||((State_8_15==1)&&(State_9_11==1)))||((State_9_6==1)&&(State_8_11==1)))||((State_12_6==1)&&(State_11_9==1)))||((State_1_1==1)&&(State_0_9==1)))||((State_3_7==1)&&(State_4_5==1)))||((State_3_4==1)&&(State_4_10==1)))||((State_12_12==1)&&(State_13_8==1)))||((State_5_5==1)&&(State_4_11==1)))||((State_5_3==1)&&(State_4_5==1)))||((State_6_8==1)&&(State_7_7==1)))||((State_14_12==1)&&(State_13_15==1)))||((State_4_0==1)&&(State_3_14==1)))||((State_0_6==1)&&(State_1_15==1)))||((State_10_9==1)&&(State_9_2==1)))||((State_5_2==1)&&(State_4_6==1)))||((State_14_1==1)&&(State_15_2==1)))||((State_13_5==1)&&(State_14_10==1)))||((State_12_14==1)&&(State_13_1==1)))||((State_11_12==1)&&(State_12_10==1)))||((State_1_1==1)&&(State_2_12==1)))||((State_11_2==1)&&(State_10_14==1)))||((State_1_4==1)&&(State_0_11==1)))||((State_14_1==1)&&(State_15_0==1)))||((State_9_2==1)&&(State_10_8==1)))||((State_2_2==1)&&(State_1_13==1)))||((State_5_8==1)&&(State_4_2==1)))||((State_6_5==1)&&(State_7_6==1)))||((State_12_11==1)&&(State_13_12==1)))||((State_12_5==1)&&(State_13_15==1)))||((State_4_0==1)&&(State_5_9==1)))||((State_9_0==1)&&(State_10_7==1)))||((State_4_3==1)&&(State_3_7==1)))||((State_6_10==1)&&(State_5_7==1)))||((State_4_12==1)&&(State_5_3==1)))||((State_1_7==1)&&(State_0_13==1)))||((State_10_6==1)&&(State_9_15==1)))||((State_5_2==1)&&(State_4_5==1)))||((State_13_5==1)&&(State_14_9==1)))||((State_1_9==1)&&(State_2_12==1)))||((State_12_8==1)&&(State_11_4==1)))||((State_9_8==1)&&(State_10_1==1)))||((State_10_2==1)&&(State_11_1==1)))||((State_14_7==1)&&(State_15_13==1)))||((State_4_0==1)&&(State_3_2==1)))||((State_2_11==1)&&(State_3_10==1)))||((State_3_0==1)&&(State_2_4==1)))||((State_1_1==1)&&(State_2_10==1)))||((State_6_4==1)&&(State_7_5==1)))||((State_11_6==1)&&(State_10_12==1)))||((State_3_3==1)&&(State_4_11==1)))||((State_3_4==1)&&(State_2_15==1)))||((State_14_1==1)&&(State_13_7==1)))||((State_0_2==1)&&(State_1_3==1)))||((State_4_1==1)&&(State_3_13==1)))||((State_3_13==1)&&(State_4_10==1)))||((State_15_5==1)&&(State_14_8==1)))||((State_12_15==1)&&(State_11_14==1)))||((State_2_10==1)&&(State_3_2==1)))||((State_9_6==1)&&(State_10_12==1)))||((State_5_15==1)&&(State_4_0==1)))||((State_3_1==1)&&(State_4_14==1)))||((State_11_7==1)&&(State_10_5==1)))||((State_15_5==1)&&(State_14_4==1)))||((State_15_4==1)&&(State_14_3==1)))||((State_13_10==1)&&(State_12_12==1)))||((State_12_6==1)&&(State_13_1==1)))||((State_8_11==1)&&(State_9_12==1)))||((State_6_9==1)&&(State_5_1==1)))||((State_5_2==1)&&(State_4_15==1)))||((State_12_2==1)&&(State_13_8==1)))||((State_7_13==1)&&(State_6_0==1)))||((State_8_14==1)&&(State_9_6==1)))||((State_3_11==1)&&(State_2_9==1)))||((State_2_10==1)&&(State_3_14==1)))||((State_5_10==1)&&(State_6_0==1)))||((State_9_7==1)&&(State_8_11==1)))||((State_1_7==1)&&(State_0_0==1)))||((State_9_4==1)&&(State_8_3==1)))||((State_10_15==1)&&(State_9_10==1)))||((State_1_14==1)&&(State_2_6==1)))||((State_6_14==1)&&(State_5_3==1)))||((State_13_10==1)&&(State_14_3==1)))||((State_4_6==1)&&(State_5_1==1)))||((State_4_7==1)&&(State_3_3==1)))||((State_13_10==1)&&(State_14_14==1)))||((State_4_13==1)&&(State_5_14==1)))||((State_12_7==1)&&(State_11_14==1)))||((State_8_6==1)&&(State_9_9==1)))||((State_8_1==1)&&(State_7_0==1)))||((State_6_4==1)&&(State_7_8==1)))||((State_12_8==1)&&(State_11_13==1)))||((State_14_15==1)&&(State_13_14==1)))||((State_13_9==1)&&(State_12_14==1)))||((State_3_7==1)&&(State_2_2==1)))||((State_4_1==1)&&(State_3_10==1)))||((State_10_6==1)&&(State_9_3==1)))||((State_13_2==1)&&(State_14_10==1)))||((State_8_7==1)&&(State_9_5==1)))||((State_4_3==1)&&(State_5_8==1)))||((State_14_8==1)&&(State_15_9==1)))||((State_4_6==1)&&(State_5_8==1)))||((State_1_15==1)&&(State_2_9==1)))||((State_10_9==1)&&(State_9_13==1)))||((State_8_4==1)&&(State_7_1==1)))||((State_5_9==1)&&(State_6_6==1)))||((State_2_13==1)&&(State_3_12==1)))||((State_1_6==1)&&(State_0_3==1)))||((State_1_9==1)&&(State_2_10==1)))||((State_6_8==1)&&(State_7_9==1)))||((State_12_2==1)&&(State_13_13==1)))||((State_1_6==1)&&(State_0_15==1)))||((State_10_3==1)&&(State_11_14==1)))||((State_10_5==1)&&(State_9_3==1)))||((State_11_15==1)&&(State_10_4==1)))||((State_8_8==1)&&(State_9_10==1)))||((State_3_0==1)&&(State_4_2==1)))||((State_3_1==1)&&(State_4_13==1)))||((State_13_5==1)&&(State_14_12==1)))||((State_14_14==1)&&(State_15_0==1)))||((State_12_2==1)&&(State_13_15==1)))||((State_11_12==1)&&(State_10_10==1)))||((State_13_11==1)&&(State_14_15==1)))||((State_6_8==1)&&(State_5_7==1)))||((State_14_14==1)&&(State_15_1==1)))||((State_10_15==1)&&(State_9_12==1)))||((State_2_6==1)&&(State_3_11==1)))||((State_1_4==1)&&(State_2_8==1)))||((State_6_8==1)&&(State_5_13==1)))||((State_8_5==1)&&(State_9_10==1)))||((State_2_1==1)&&(State_1_13==1)))||((State_9_0==1)&&(State_8_15==1)))||((State_5_12==1)&&(State_6_3==1)))||((State_12_15==1)&&(State_11_11==1)))||((State_9_7==1)&&(State_10_12==1)))||((State_7_14==1)&&(State_8_8==1)))||((State_10_0==1)&&(State_9_1==1)))||((State_9_11==1)&&(State_8_2==1)))||((State_0_4==1)&&(State_1_5==1)))||((State_11_15==1)&&(State_10_11==1)))||((State_10_13==1)&&(State_11_11==1)))||((State_3_1==1)&&(State_2_15==1)))||((State_2_0==1)&&(State_3_8==1)))||((State_9_1==1)&&(State_8_9==1)))||((State_10_0==1)&&(State_9_9==1)))||((State_13_6==1)&&(State_12_9==1)))||((State_7_12==1)&&(State_8_9==1)))||((State_8_9==1)&&(State_9_12==1)))||((State_12_5==1)&&(State_13_13==1)))||((State_4_12==1)&&(State_3_0==1)))||((State_3_15==1)&&(State_4_0==1)))||((State_10_15==1)&&(State_11_0==1)))||((State_11_8==1)&&(State_12_7==1)))||((State_8_7==1)&&(State_9_3==1)))||((State_2_5==1)&&(State_3_2==1)))||((State_4_3==1)&&(State_5_1==1)))||((State_9_13==1)&&(State_8_12==1)))||((State_5_8==1)&&(State_4_4==1)))||((State_8_14==1)&&(State_7_12==1)))||((State_8_8==1)&&(State_9_15==1)))||((State_5_4==1)&&(State_4_5==1)))||((State_8_13==1)&&(State_9_4==1)))||((State_14_11==1)&&(State_13_12==1)))||((State_12_14==1)&&(State_11_9==1)))||((State_8_4==1)&&(State_7_11==1)))||((State_13_13==1)&&(State_14_6==1)))||((State_6_8==1)&&(State_5_11==1)))||((State_10_3==1)&&(State_9_8==1)))||((State_15_6==1)&&(State_14_8==1)))||((State_1_4==1)&&(State_2_5==1)))||((State_3_0==1)&&(State_4_4==1)))||((State_5_5==1)&&(State_6_0==1)))||((State_12_1==1)&&(State_11_10==1)))||((State_1_3==1)&&(State_2_5==1)))||((State_8_10==1)&&(State_9_4==1)))||((State_1_10==1)&&(State_2_6==1)))||((State_9_14==1)&&(State_10_5==1)))||((State_2_10==1)&&(State_1_5==1)))||((State_13_2==1)&&(State_14_9==1)))||((State_12_1==1)&&(State_13_2==1)))||((State_2_13==1)&&(State_1_4==1)))||((State_0_5==1)&&(State_1_8==1)))||((State_6_13==1)&&(State_7_8==1)))||((State_12_5==1)&&(State_13_8==1)))||((State_3_10==1)&&(State_2_9==1)))||((State_9_15==1)&&(State_10_4==1)))||((State_9_0==1)&&(State_8_1==1)))||((State_5_1==1)&&(State_4_10==1)))||((State_1_3==1)&&(State_0_7==1)))||((State_14_13==1)&&(State_15_12==1)))||((State_11_6==1)&&(State_10_5==1)))||((State_9_1==1)&&(State_10_11==1)))||((State_6_11==1)&&(State_5_0==1)))||((State_11_6==1)&&(State_10_9==1)))||((State_7_5==1)&&(State_6_0==1)))||((State_9_6==1)&&(State_10_5==1)))||((State_6_12==1)&&(State_5_0==1)))||((State_9_10==1)&&(State_8_12==1)))||((State_11_4==1)&&(State_12_9==1)))||((State_6_12==1)&&(State_5_9==1)))||((State_9_14==1)&&(State_10_12==1)))||((State_6_1==1)&&(State_5_9==1)))||((State_2_13==1)&&(State_1_10==1)))||((State_12_5==1)&&(State_11_3==1)))||((State_5_4==1)&&(State_6_7==1)))||((State_4_7==1)&&(State_5_0==1)))||((State_13_8==1)&&(State_14_6==1)))||((State_8_12==1)&&(State_9_11==1)))||((State_9_1==1)&&(State_8_2==1)))||((State_2_11==1)&&(State_1_3==1)))||((State_6_2==1)&&(State_7_10==1)))||((State_9_2==1)&&(State_10_1==1)))||((State_8_14==1)&&(State_9_2==1)))||((State_12_2==1)&&(State_11_9==1)))||((State_8_4==1)&&(State_7_2==1)))||((State_3_3==1)&&(State_4_4==1)))||((State_3_11==1)&&(State_2_12==1)))||((State_10_6==1)&&(State_9_5==1)))||((State_5_5==1)&&(State_4_4==1)))||((State_10_2==1)&&(State_11_0==1)))||((State_10_7==1)&&(State_11_9==1)))||((State_5_8==1)&&(State_6_6==1)))||((State_3_4==1)&&(State_4_14==1)))||((State_12_14==1)&&(State_13_6==1)))||((State_4_0==1)&&(State_3_5==1)))||((State_14_0==1)&&(State_15_12==1)))||((State_8_4==1)&&(State_7_7==1)))||((State_1_12==1)&&(State_2_14==1)))||((State_8_7==1)&&(State_7_15==1)))||((State_10_2==1)&&(State_9_12==1)))||((State_7_13==1)&&(State_8_11==1)))||((State_1_10==1)&&(State_2_2==1)))||((State_5_0==1)&&(State_4_8==1)))||((State_0_5==1)&&(State_1_7==1)))||((State_10_15==1)&&(State_11_1==1)))||((State_9_0==1)&&(State_10_12==1)))||((State_3_15==1)&&(State_4_5==1)))||((State_6_1==1)&&(State_5_0==1)))||((State_1_4==1)&&(State_0_12==1)))||((State_7_1==1)&&(State_8_11==1)))||((State_14_15==1)&&(State_15_8==1)))||((State_9_2==1)&&(State_8_0==1)))||((State_6_2==1)&&(State_5_8==1)))||((State_4_7==1)&&(State_3_14==1)))||((State_12_15==1)&&(State_13_5==1)))||((State_7_4==1)&&(State_8_9==1)))||((State_8_2==1)&&(State_9_12==1)))||((State_12_6==1)&&(State_13_9==1)))||((State_7_14==1)&&(State_6_1==1)))||((State_10_4==1)&&(State_11_9==1)))||((State_14_14==1)&&(State_13_7==1)))||((State_8_4==1)&&(State_9_8==1)))||((State_6_3==1)&&(State_5_14==1)))||((State_14_14==1)&&(State_15_2==1)))||((State_6_4==1)&&(State_5_10==1)))||((State_2_13==1)&&(State_1_3==1)))||((State_12_12==1)&&(State_13_1==1)))||((State_11_6==1)&&(State_10_7==1)))||((State_5_2==1)&&(State_6_4==1)))||((State_13_9==1)&&(State_12_0==1)))||((State_5_15==1)&&(State_4_9==1)))||((State_1_5==1)&&(State_0_10==1)))||((State_7_13==1)&&(State_6_10==1)))||((State_5_4==1)&&(State_6_13==1)))||((State_6_2==1)&&(State_7_4==1)))||((State_5_5==1)&&(State_4_2==1)))||((State_3_3==1)&&(State_4_2==1)))||((State_14_2==1)&&(State_15_11==1)))||((State_9_7==1)&&(State_10_5==1)))||((State_15_6==1)&&(State_14_1==1)))||((State_3_12==1)&&(State_2_11==1)))||((State_8_1==1)&&(State_9_6==1)))||((State_10_3==1)&&(State_9_9==1)))||((State_6_7==1)&&(State_5_1==1)))||((State_1_1==1)&&(State_2_9==1)))||((State_8_10==1)&&(State_9_5==1)))||((State_5_12==1)&&(State_4_8==1)))||((State_10_13==1)&&(State_11_14==1)))||((State_10_6==1)&&(State_11_10==1)))||((State_3_14==1)&&(State_2_5==1)))||((State_10_5==1)&&(State_9_4==1)))||((State_7_1==1)&&(State_6_10==1)))||((State_11_8==1)&&(State_12_13==1)))||((State_3_9==1)&&(State_4_0==1)))||((State_8_14==1)&&(State_7_5==1)))||((State_10_9==1)&&(State_11_2==1)))||((State_1_5==1)&&(State_2_15==1)))||((State_4_7==1)&&(State_5_9==1)))||((State_15_14==1)&&(State_14_6==1)))||((State_0_4==1)&&(State_1_15==1)))||((State_13_3==1)&&(State_14_10==1)))||((State_13_10==1)&&(State_14_15==1)))||((State_9_2==1)&&(State_8_3==1)))||((State_4_8==1)&&(State_3_14==1)))||((State_13_2==1)&&(State_14_11==1)))||((State_8_3==1)&&(State_7_8==1)))||((State_9_1==1)&&(State_8_14==1)))||((State_0_14==1)&&(State_1_13==1)))||((State_10_13==1)&&(State_9_8==1)))||((State_12_12==1)&&(State_11_9==1)))||((State_6_10==1)&&(State_5_6==1)))||((State_7_2==1)&&(State_6_6==1)))||((State_9_8==1)&&(State_8_0==1)))||((State_8_8==1)&&(State_7_10==1)))||((State_15_7==1)&&(State_14_15==1)))||((State_15_13==1)&&(State_14_3==1)))||((State_1_11==1)&&(State_2_2==1)))||((State_13_11==1)&&(State_12_12==1)))||((State_6_6==1)&&(State_7_15==1)))||((State_8_7==1)&&(State_9_15==1)))||((State_9_9==1)&&(State_8_3==1)))||((State_8_6==1)&&(State_7_7==1)))||((State_5_8==1)&&(State_4_9==1)))||((State_10_11==1)&&(State_11_9==1)))||((State_13_5==1)&&(State_14_0==1)))||((State_3_12==1)&&(State_2_1==1)))||((State_7_10==1)&&(State_6_6==1)))||((State_6_11==1)&&(State_5_2==1)))||((State_14_0==1)&&(State_13_14==1)))||((State_12_7==1)&&(State_11_4==1)))||((State_4_1==1)&&(State_5_14==1)))||((State_8_14==1)&&(State_7_8==1)))||((State_6_8==1)&&(State_7_0==1)))||((State_8_1==1)&&(State_7_12==1)))||((State_11_12==1)&&(State_10_0==1)))||((State_10_6==1)&&(State_11_5==1)))||((State_2_3==1)&&(State_3_11==1)))||((State_8_0==1)&&(State_9_12==1)))||((State_11_7==1)&&(State_10_11==1)))||((State_8_8==1)&&(State_7_4==1)))||((State_3_14==1)&&(State_2_8==1)))||((State_12_1==1)&&(State_13_7==1)))||((State_4_12==1)&&(State_3_8==1)))||((State_2_10==1)&&(State_3_3==1)))||((State_12_3==1)&&(State_13_13==1)))||((State_10_14==1)&&(State_9_8==1)))||((State_9_1==1)&&(State_10_4==1)))||((State_3_8==1)&&(State_2_5==1)))||((State_2_11==1)&&(State_1_2==1)))||((State_1_14==1)&&(State_2_2==1)))||((State_7_3==1)&&(State_6_6==1)))||((State_10_0==1)&&(State_11_11==1)))||((State_6_2==1)&&(State_5_1==1)))||((State_9_8==1)&&(State_8_3==1)))||((State_5_14==1)&&(State_4_2==1)))||((State_8_4==1)&&(State_7_9==1)))||((State_11_8==1)&&(State_12_4==1)))||((State_13_11==1)&&(State_14_3==1)))||((State_11_14==1)&&(State_10_12==1)))||((State_13_11==1)&&(State_14_14==1)))||((State_12_3==1)&&(State_13_8==1)))||((State_4_8==1)&&(State_3_2==1)))||((State_6_9==1)&&(State_7_15==1)))||((State_1_6==1)&&(State_2_2==1)))||((State_11_8==1)&&(State_12_9==1)))||((State_4_15==1)&&(State_5_14==1)))||((State_2_7==1)&&(State_3_11==1)))||((State_2_13==1)&&(State_3_6==1)))||((State_4_7==1)&&(State_3_2==1)))||((State_8_10==1)&&(State_9_7==1)))||((State_14_15==1)&&(State_15_9==1)))||((State_6_13==1)&&(State_7_12==1)))||((State_14_4==1)&&(State_13_8==1)))||((State_2_13==1)&&(State_3_9==1)))||((State_0_14==1)&&(State_1_12==1)))||((State_14_4==1)&&(State_13_15==1)))||((State_12_1==1)&&(State_13_11==1)))||((State_3_12==1)&&(State_2_14==1)))||((State_13_5==1)&&(State_14_13==1)))||((State_11_12==1)&&(State_10_3==1)))||((State_9_0==1)&&(State_10_9==1)))||((State_0_8==1)&&(State_1_4==1)))||((State_0_10==1)&&(State_1_3==1)))||((State_1_11==1)&&(State_2_6==1)))||((State_1_7==1)&&(State_0_6==1)))||((State_9_0==1)&&(State_10_5==1)))||((State_1_9==1)&&(State_2_3==1)))||((State_9_6==1)&&(State_8_15==1)))||((State_1_10==1)&&(State_0_3==1)))||((State_15_10==1)&&(State_14_7==1)))||((State_13_0==1)&&(State_14_6==1)))||((State_13_5==1)&&(State_14_6==1)))||((State_7_14==1)&&(State_6_10==1)))||((State_2_6==1)&&(State_1_12==1)))||((State_2_10==1)&&(State_1_7==1)))||((State_5_10==1)&&(State_4_11==1)))||((State_12_6==1)&&(State_11_2==1)))||((State_8_5==1)&&(State_7_10==1)))||((State_2_15==1)&&(State_3_8==1)))||((State_12_10==1)&&(State_11_5==1)))||((State_6_10==1)&&(State_7_12==1)))||((State_1_12==1)&&(State_2_1==1)))||((State_0_4==1)&&(State_1_14==1)))||((State_12_4==1)&&(State_11_13==1)))||((State_7_0==1)&&(State_6_6==1)))||((State_9_14==1)&&(State_8_11==1)))||((State_6_0==1)&&(State_5_1==1)))||((State_8_8==1)&&(State_9_12==1)))||((State_5_0==1)&&(State_6_3==1)))||((State_11_2==1)&&(State_10_15==1)))||((State_14_13==1)&&(State_15_2==1)))||((State_7_14==1)&&(State_8_11==1)))||((State_3_6==1)&&(State_4_9==1)))||((State_14_4==1)&&(State_13_13==1)))||((State_2_13==1)&&(State_3_10==1)))||((State_4_9==1)&&(State_3_3==1)))||((State_9_0==1)&&(State_8_8==1)))||((State_14_12==1)&&(State_13_13==1)))||((State_6_8==1)&&(State_5_6==1)))||((State_8_5==1)&&(State_9_12==1)))||((State_4_6==1)&&(State_3_8==1)))||((State_14_5==1)&&(State_15_11==1)))||((State_14_14==1)&&(State_15_12==1)))||((State_4_15==1)&&(State_3_4==1)))||((State_12_3==1)&&(State_13_15==1)))||((State_3_4==1)&&(State_4_13==1)))||((State_9_11==1)&&(State_8_9==1)))||((State_3_0==1)&&(State_4_11==1)))||((State_0_11==1)&&(State_1_13==1)))||((State_5_15==1)&&(State_6_6==1)))||((State_5_8==1)&&(State_6_13==1)))||((State_4_1==1)&&(State_3_2==1)))||((State_4_8==1)&&(State_5_7==1)))||((State_12_2==1)&&(State_11_14==1)))||((State_14_11==1)&&(State_15_5==1)))||((State_8_14==1)&&(State_9_12==1)))||((State_12_7==1)&&(State_13_13==1)))||((State_7_3==1)&&(State_8_2==1)))||((State_4_3==1)&&(State_5_9==1)))||((State_14_0==1)&&(State_15_15==1)))||((State_15_0==1)&&(State_14_9==1)))||((State_7_2==1)&&(State_6_9==1)))||((State_10_11==1)&&(State_9_3==1)))||((State_4_3==1)&&(State_5_0==1)))||((State_5_9==1)&&(State_4_13==1)))||((State_1_12==1)&&(State_0_0==1)))||((State_1_0==1)&&(State_0_12==1)))||((State_4_8==1)&&(State_5_11==1)))||((State_6_9==1)&&(State_5_6==1)))||((State_14_12==1)&&(State_13_14==1)))||((State_9_13==1)&&(State_10_6==1)))||((State_6_5==1)&&(State_5_14==1)))||((State_0_6==1)&&(State_1_13==1)))||((State_7_1==1)&&(State_6_13==1)))||((State_4_12==1)&&(State_5_1==1)))||((State_14_2==1)&&(State_13_12==1)))||((State_8_13==1)&&(State_9_14==1)))||((State_1_10==1)&&(State_2_11==1)))||((State_15_11==1)&&(State_14_10==1)))||((State_15_6==1)&&(State_14_7==1)))||((State_10_7==1)&&(State_11_14==1)))||((State_12_10==1)&&(State_11_14==1)))||((State_12_15==1)&&(State_11_13==1)))||((State_9_0==1)&&(State_8_4==1)))||((State_3_10==1)&&(State_4_14==1)))||((State_7_1==1)&&(State_6_9==1)))||((State_8_13==1)&&(State_9_2==1)))||((State_4_12==1)&&(State_5_8==1)))||((State_4_0==1)&&(State_3_13==1)))||((State_6_2==1)&&(State_5_5==1)))||((State_8_8==1)&&(State_9_5==1)))||((State_10_3==1)&&(State_11_10==1)))||((State_4_8==1)&&(State_5_13==1)))||((State_4_6==1)&&(State_5_0==1)))||((State_2_4==1)&&(State_1_5==1)))||((State_9_5==1)&&(State_10_12==1)))||((State_2_15==1)&&(State_1_2==1)))||((State_11_13==1)&&(State_12_14==1)))||((State_11_0==1)&&(State_12_13==1)))||((State_10_2==1)&&(State_9_14==1)))||((State_5_15==1)&&(State_4_6==1)))||((State_10_11==1)&&(State_11_10==1)))||((State_10_6==1)&&(State_9_9==1)))||((State_13_11==1)&&(State_12_13==1)))||((State_3_1==1)&&(State_2_9==1)))||((State_4_6==1)&&(State_5_9==1)))||((State_5_2==1)&&(State_4_1==1)))||((State_9_1==1)&&(State_10_15==1)))||((State_12_7==1)&&(State_13_8==1)))||((State_1_7==1)&&(State_0_2==1)))||((State_11_3==1)&&(State_10_7==1)))||((State_1_10==1)&&(State_2_14==1)))||((State_2_10==1)&&(State_3_12==1)))||((State_12_12==1)&&(State_11_14==1)))||((State_10_9==1)&&(State_9_1==1)))||((State_4_6==1)&&(State_3_14==1)))||((State_5_7==1)&&(State_4_14==1)))||((State_11_11==1)&&(State_12_3==1)))||((State_3_14==1)&&(State_4_5==1)))||((State_10_11==1)&&(State_9_5==1)))||((State_10_7==1)&&(State_9_8==1)))||((State_1_5==1)&&(State_0_13==1)))||((State_5_12==1)&&(State_6_6==1)))||((State_5_15==1)&&(State_4_5==1)))||((State_12_3==1)&&(State_11_13==1)))||((State_1_11==1)&&(State_2_15==1)))||((State_7_4==1)&&(State_6_0==1)))||((State_0_2==1)&&(State_1_0==1)))||((State_12_5==1)&&(State_11_9==1)))||((State_4_0==1)&&(State_5_10==1)))||((State_3_12==1)&&(State_4_11==1)))||((State_13_13==1)&&(State_12_14==1)))||((State_5_8==1)&&(State_6_7==1)))||((State_9_14==1)&&(State_10_1==1)))||((State_5_7==1)&&(State_6_15==1)))||((State_2_14==1)&&(State_3_13==1)))||((State_6_1==1)&&(State_7_12==1)))||((State_5_3==1)&&(State_6_12==1)))||((State_12_7==1)&&(State_13_15==1)))||((State_9_5==1)&&(State_8_11==1)))||((State_7_2==1)&&(State_6_13==1)))||((State_12_5==1)&&(State_13_1==1)))||((State_4_0==1)&&(State_3_12==1)))||((State_6_2==1)&&(State_7_6==1)))||((State_12_6==1)&&(State_11_4==1)))||((State_8_15==1)&&(State_7_8==1)))||((State_1_11==1)&&(State_0_10==1)))||((State_2_0==1)&&(State_1_6==1)))||((State_1_12==1)&&(State_0_13==1)))||((State_3_9==1)&&(State_2_1==1)))||((State_4_4==1)&&(State_3_10==1)))||((State_8_1==1)&&(State_7_11==1)))||((State_3_6==1)&&(State_2_11==1)))||((State_6_12==1)&&(State_7_5==1)))||((State_13_9==1)&&(State_14_3==1)))||((State_12_11==1)&&(State_13_4==1)))||((State_1_4==1)&&(State_0_10==1)))||((State_5_4==1)&&(State_4_11==1)))||((State_6_5==1)&&(State_7_3==1)))||((State_4_6==1)&&(State_3_2==1)))||((State_6_8==1)&&(State_7_15==1)))||((State_8_13==1)&&(State_7_5==1)))||((State_6_7==1)&&(State_7_11==1)))||((State_14_5==1)&&(State_13_6==1)))||((State_10_10==1)&&(State_9_9==1)))||((State_0_14==1)&&(State_1_1==1)))||((State_10_3==1)&&(State_9_5==1)))||((State_11_3==1)&&(State_10_5==1)))||((State_1_5==1)&&(State_0_0==1)))||((State_10_0==1)&&(State_9_10==1)))||((State_14_15==1)&&(State_15_1==1)))||((State_2_6==1)&&(State_3_3==1)))||((State_9_11==1)&&(State_8_6==1)))||((State_2_10==1)&&(State_3_13==1)))||((State_15_1==1)&&(State_14_8==1)))||((State_10_7==1)&&(State_11_11==1)))||((State_14_0==1)&&(State_13_3==1)))||((State_5_3==1)&&(State_6_8==1)))||((State_11_12==1)&&(State_12_4==1)))||((State_3_4==1)&&(State_4_0==1)))||((State_14_14==1)&&(State_15_11==1)))||((State_1_1==1)&&(State_2_4==1)))||((State_1_1==1)&&(State_0_0==1)))||((State_13_7==1)&&(State_12_14==1)))||((State_6_9==1)&&(State_7_0==1)))||((State_3_11==1)&&(State_4_1==1)))||((State_10_8==1)&&(State_11_9==1)))||((State_13_13==1)&&(State_12_0==1)))||((State_0_6==1)&&(State_1_12==1)))||((State_15_5==1)&&(State_14_6==1)))||((State_9_13==1)&&(State_10_12==1)))||((State_14_11==1)&&(State_13_4==1)))||((State_0_8==1)&&(State_1_13==1)))||((State_7_2==1)&&(State_8_0==1)))||((State_6_10==1)&&(State_7_6==1)))||((State_1_4==1)&&(State_2_15==1)))||((State_15_9==1)&&(State_14_0==1)))||((State_10_1==1)&&(State_9_4==1)))||((State_0_5==1)&&(State_1_2==1)))||((State_10_13==1)&&(State_9_5==1)))||((State_11_12==1)&&(State_12_9==1)))||((State_3_3==1)&&(State_2_8==1)))||((State_1_9==1)&&(State_2_0==1)))||((State_13_0==1)&&(State_12_14==1)))||((State_9_10==1)&&(State_8_11==1)))||((State_9_13==1)&&(State_8_11==1)))||((State_12_2==1)&&(State_11_11==1)))||((State_12_5==1)&&(State_11_2==1)))||((State_1_13==1)&&(State_2_9==1)))||((State_4_15==1)&&(State_5_13==1)))||((State_9_11==1)&&(State_10_8==1)))||((State_10_5==1)&&(State_9_12==1)))||((State_9_0==1)&&(State_10_6==1)))||((State_15_4==1)&&(State_14_0==1)))||((State_11_6==1)&&(State_10_15==1)))||((State_7_2==1)&&(State_6_7==1)))||((State_14_0==1)&&(State_13_9==1)))||((State_11_1==1)&&(State_12_9==1)))||((State_4_9==1)&&(State_5_6==1)))||((State_14_13==1)&&(State_13_1==1)))||((State_11_15==1)&&(State_12_7==1)))||((State_14_4==1)&&(State_15_3==1)))||((State_11_3==1)&&(State_10_12==1)))||((State_3_7==1)&&(State_4_11==1)))||((State_1_10==1)&&(State_2_1==1)))||((State_4_3==1)&&(State_3_2==1)))||((State_7_14==1)&&(State_6_0==1)))||((State_12_0==1)&&(State_13_15==1)))||((State_3_3==1)&&(State_4_8==1)))||((State_9_10==1)&&(State_10_6==1)))||((State_4_15==1)&&(State_5_7==1)))||((State_10_5==1)&&(State_11_0==1)))||((State_5_4==1)&&(State_6_0==1)))||((State_1_14==1)&&(State_0_10==1)))||((State_5_9==1)&&(State_6_15==1)))||((State_11_15==1)&&(State_10_8==1)))||((State_3_5==1)&&(State_2_9==1)))||((State_3_3==1)&&(State_2_5==1)))||((State_12_9==1)&&(State_11_5==1)))||((State_9_0==1)&&(State_8_11==1)))||((State_11_12==1)&&(State_12_13==1)))||((State_15_5==1)&&(State_14_0==1)))||((State_14_3==1)&&(State_13_6==1)))||((State_2_3==1)&&(State_1_8==1)))||((State_3_9==1)&&(State_4_1==1)))||((State_2_13==1)&&(State_1_9==1)))||((State_15_0==1)&&(State_14_10==1)))||((State_5_8==1)&&(State_4_7==1)))||((State_5_3==1)&&(State_4_8==1)))||((State_10_13==1)&&(State_9_3==1)))||((State_5_9==1)&&(State_4_14==1)))||((State_10_3==1)&&(State_11_7==1)))||((State_13_11==1)&&(State_14_1==1)))||((State_4_3==1)&&(State_3_14==1)))||((State_8_1==1)&&(State_9_8==1)))||((State_8_8==1)&&(State_9_7==1)))||((State_10_11==1)&&(State_11_5==1)))||((State_13_11==1)&&(State_12_9==1)))||((State_10_13==1)&&(State_11_10==1)))||((State_15_1==1)&&(State_14_4==1)))||((State_10_0==1)&&(State_9_15==1)))||((State_13_11==1)&&(State_12_4==1)))||((State_7_2==1)&&(State_8_3==1)))||((State_15_9==1)&&(State_14_6==1)))||((State_10_3==1)&&(State_11_8==1)))||((State_7_4==1)&&(State_6_1==1)))||((State_7_14==1)&&(State_8_4==1)))||((State_5_8==1)&&(State_6_9==1)))||((State_4_15==1)&&(State_5_11==1)))||((State_7_1==1)&&(State_8_12==1)))||((State_6_1==1)&&(State_5_6==1)))||((State_1_14==1)&&(State_2_15==1)))||((State_8_13==1)&&(State_7_12==1)))||((State_11_1==1)&&(State_12_13==1)))||((State_10_9==1)&&(State_11_15==1)))||((State_2_6==1)&&(State_3_2==1)))||((State_3_1==1)&&(State_4_10==1)))||((State_3_0==1)&&(State_4_9==1)))||((State_8_1==1)&&(State_7_7==1)))||((State_13_2==1)&&(State_12_13==1)))||((State_5_12==1)&&(State_4_4==1)))||((State_8_13==1)&&(State_9_6==1)))||((State_5_3==1)&&(State_4_13==1)))||((State_5_2==1)&&(State_6_7==1)))||((State_3_6==1)&&(State_2_1==1)))||((State_2_4==1)&&(State_1_7==1)))||((State_7_3==1)&&(State_8_15==1)))||((State_4_3==1)&&(State_3_5==1)))||((State_5_5==1)&&(State_6_9==1)))||((State_2_14==1)&&(State_3_10==1)))||((State_13_6==1)&&(State_12_13==1)))||((State_11_15==1)&&(State_12_0==1)))||((State_14_12==1)&&(State_15_2==1)))||((State_8_2==1)&&(State_7_12==1)))||((State_3_9==1)&&(State_2_11==1)))||((State_10_13==1)&&(State_11_8==1)))||((State_8_1==1)&&(State_7_2==1)))||((State_4_0==1)&&(State_3_6==1)))||((State_6_14==1)&&(State_5_5==1)))||((State_14_13==1)&&(State_13_8==1)))||((State_6_0==1)&&(State_7_12==1)))||((State_8_7==1)&&(State_9_4==1)))||((State_6_1==1)&&(State_7_8==1)))||((State_9_13==1)&&(State_10_2==1)))||((State_4_13==1)&&(State_5_1==1)))||((State_12_10==1)&&(State_11_4==1)))||((State_13_12==1)&&(State_12_3==1)))||((State_13_2==1)&&(State_14_1==1)))||((State_6_9==1)&&(State_5_11==1)))||((State_12_5==1)&&(State_11_6==1)))||((State_0_4==1)&&(State_1_7==1)))||((State_5_3==1)&&(State_6_15==1)))||((State_10_10==1)&&(State_11_14==1)))||((State_10_11==1)&&(State_9_15==1)))||((State_5_5==1)&&(State_4_7==1)))||((State_9_1==1)&&(State_10_10==1)))||((State_10_9==1)&&(State_9_6==1)))||((State_6_12==1)&&(State_7_8==1)))||((State_11_12==1)&&(State_12_7==1)))||((State_15_6==1)&&(State_14_4==1)))||((State_1_7==1)&&(State_2_11==1)))||((State_5_8==1)&&(State_4_1==1)))||((State_9_7==1)&&(State_10_2==1)))||((State_5_15==1)&&(State_6_2==1)))||((State_13_2==1)&&(State_12_9==1)))||((State_14_8==1)&&(State_13_12==1)))||((State_10_7==1)&&(State_11_4==1)))||((State_2_15==1)&&(State_1_6==1)))||((State_14_15==1)&&(State_15_12==1)))||((State_3_6==1)&&(State_2_14==1)))||((State_4_6==1)&&(State_3_5==1)))||((State_6_11==1)&&(State_5_5==1)))||((State_1_10==1)&&(State_0_2==1)))||((State_10_2==1)&&(State_11_15==1)))||((State_10_13==1)&&(State_11_5==1)))||((State_5_12==1)&&(State_4_2==1)))||((State_7_3==1)&&(State_6_15==1)))||((State_14_5==1)&&(State_15_15==1)))||((State_5_4==1)&&(State_4_2==1)))||((State_9_14==1)&&(State_8_12==1)))||((State_10_3==1)&&(State_9_15==1)))||((State_7_0==1)&&(State_6_3==1)))||((State_13_7==1)&&(State_14_4==1)))||((State_5_3==1)&&(State_4_14==1)))||((State_13_2==1)&&(State_12_4==1)))||((State_11_4==1)&&(State_10_12==1)))||((State_15_12==1)&&(State_14_3==1)))||((State_1_6==1)&&(State_0_9==1)))||((State_15_4==1)&&(State_14_6==1)))||((State_14_0==1)&&(State_13_4==1)))||((State_2_6==1)&&(State_3_14==1)))||((State_12_1==1)&&(State_11_7==1)))||((State_2_4==1)&&(State_3_3==1)))||((State_7_0==1)&&(State_8_2==1)))||((State_0_5==1)&&(State_1_11==1)))||((State_6_14==1)&&(State_7_6==1)))||((State_14_11==1)&&(State_15_4==1)))||((State_14_7==1)&&(State_15_11==1)))||((State_3_7==1)&&(State_4_2==1)))||((State_4_0==1)&&(State_5_12==1)))||((State_12_3==1)&&(State_11_1==1)))||((State_7_10==1)&&(State_6_13==1)))||((State_7_13==1)&&(State_6_4==1)))||((State_1_6==1)&&(State_2_12==1)))||((State_4_7==1)&&(State_3_13==1)))||((State_11_7==1)&&(State_12_10==1)))||((State_15_9==1)&&(State_14_12==1)))||((State_1_0==1)&&(State_0_7==1)))||((State_12_12==1)&&(State_11_4==1)))||((State_5_7==1)&&(State_4_10==1)))||((State_13_11==1)&&(State_12_10==1)))||((State_12_15==1)&&(State_11_4==1)))||((State_12_8==1)&&(State_13_12==1)))||((State_8_4==1)&&(State_9_11==1)))||((State_4_4==1)&&(State_5_14==1)))||((State_6_12==1)&&(State_5_10==1)))||((State_9_10==1)&&(State_10_12==1)))||((State_4_14==1)&&(State_5_6==1)))||((State_13_7==1)&&(State_14_8==1)))||((State_6_11==1)&&(State_7_6==1)))||((State_5_15==1)&&(State_6_4==1)))||((State_2_0==1)&&(State_1_2==1)))||((State_5_5==1)&&(State_6_13==1)))||((State_10_13==1)&&(State_11_7==1)))||((State_7_2==1)&&(State_8_12==1)))||((State_7_10==1)&&(State_6_9==1)))||((State_10_1==1)&&(State_11_5==1)))||((State_4_15==1)&&(State_5_4==1)))||((State_8_1==1)&&(State_7_9==1)))||((State_7_0==1)&&(State_6_15==1)))||((State_11_12==1)&&(State_12_1==1)))||((State_10_10==1)&&(State_11_11==1)))||((State_14_3==1)&&(State_15_15==1)))||((State_4_12==1)&&(State_3_7==1)))||((State_14_15==1)&&(State_15_2==1)))||((State_3_5==1)&&(State_2_12==1)))||((State_8_14==1)&&(State_9_11==1)))||((State_1_1==1)&&(State_2_0==1)))||((State_12_3==1)&&(State_11_0==1)))||((State_7_10==1)&&(State_8_12==1)))||((State_12_7==1)&&(State_11_9==1)))||((State_10_0==1)&&(State_11_10==1)))||((State_14_15==1)&&(State_13_7==1)))||((State_3_4==1)&&(State_4_9==1)))||((State_8_8==1)&&(State_7_15==1)))||((State_7_13==1)&&(State_8_5==1)))||((State_11_2==1)&&(State_10_1==1)))||((State_0_11==1)&&(State_1_0==1)))||((State_12_11==1)&&(State_11_15==1)))||((State_14_15==1)&&(State_15_0==1)))||((State_12_7==1)&&(State_13_1==1)))||((State_12_1==1)&&(State_11_5==1)))||((State_1_7==1)&&(State_2_14==1)))||((State_13_10==1)&&(State_12_4==1)))||((State_7_5==1)&&(State_8_6==1)))||((State_4_7==1)&&(State_5_10==1)))||((State_6_3==1)&&(State_7_6==1)))||((State_0_5==1)&&(State_1_6==1)))||((State_5_2==1)&&(State_4_7==1)))||((State_14_9==1)&&(State_13_15==1)))||((State_14_1==1)&&(State_13_6==1)))||((State_2_0==1)&&(State_1_11==1)))||((State_14_10==1)&&(State_15_15==1)))||((State_3_11==1)&&(State_2_14==1)))||((State_9_10==1)&&(State_10_5==1)))||((State_14_5==1)&&(State_13_9==1)))||((State_12_11==1)&&(State_13_0==1)))||((State_1_10==1)&&(State_0_5==1)))||((State_13_10==1)&&(State_14_1==1)))||((State_10_0==1)&&(State_9_3==1)))||((State_5_5==1)&&(State_6_7==1)))||((State_5_1==1)&&(State_6_15==1)))||((State_14_14==1)&&(State_13_2==1)))||((State_5_9==1)&&(State_4_10==1)))||((State_9_0==1)&&(State_10_2==1)))||((State_0_2==1)&&(State_1_15==1)))||((State_1_9==1)&&(State_0_1==1)))||((State_3_9==1)&&(State_2_14==1)))||((State_1_7==1)&&(State_2_1==1)))||((State_4_15==1)&&(State_3_11==1)))||((State_12_1==1)&&(State_11_8==1)))||((State_2_7==1)&&(State_3_8==1)))||((State_13_10==1)&&(State_12_9==1)))||((State_3_1==1)&&(State_2_3==1)))||((State_14_5==1)&&(State_13_3==1)))||((State_11_3==1)&&(State_10_6==1)))||((State_3_15==1)&&(State_2_5==1)))||((State_15_4==1)&&(State_14_12==1)))||((State_9_1==1)&&(State_10_14==1)))||((State_9_7==1)&&(State_10_6==1)))||((State_11_15==1)&&(State_12_14==1)))||((State_8_10==1)&&(State_7_6==1)))||((State_10_6==1)&&(State_9_8==1)))||((State_11_12==1)&&(State_12_6==1)))||((State_13_10==1)&&(State_12_13==1)))||((State_2_4==1)&&(State_1_8==1)))||((State_1_5==1)&&(State_0_6==1)))||((State_15_1==1)&&(State_14_7==1)))||((State_12_6==1)&&(State_11_13==1)))||((State_7_13==1)&&(State_8_6==1)))||((State_13_5==1)&&(State_14_11==1)))||((State_11_6==1)&&(State_10_2==1)))||((State_3_11==1)&&(State_2_1==1)))||((State_6_1==1)&&(State_7_5==1)))||((State_3_7==1)&&(State_4_4==1)))||((State_13_8==1)&&(State_12_0==1)))||((State_5_1==1)&&(State_4_14==1)))||((State_6_9==1)&&(State_5_7==1)))||((State_13_4==1)&&(State_12_9==1)))||((State_8_8==1)&&(State_9_3==1)))||((State_10_6==1)&&(State_11_14==1)))||((State_5_2==1)&&(State_6_9==1)))||((State_0_4==1)&&(State_1_8==1)))||((State_9_15==1)&&(State_8_9==1)))||((State_0_8==1)&&(State_1_9==1)))||((State_11_5==1)&&(State_10_12==1)))||((State_5_0==1)&&(State_4_5==1)))||((State_5_11==1)&&(State_4_5==1)))||((State_13_4==1)&&(State_12_13==1)))||((State_3_15==1)&&(State_2_8==1)))||((State_11_2==1)&&(State_12_14==1)))||((State_8_13==1)&&(State_7_0==1)))||((State_15_9==1)&&(State_14_10==1)))||((State_14_4==1)&&(State_15_13==1)))||((State_15_7==1)&&(State_14_1==1)))||((State_4_0==1)&&(State_3_10==1)))||((State_5_2==1)&&(State_6_13==1)))||((State_2_5==1)&&(State_1_13==1)))||((State_3_15==1)&&(State_4_8==1)))||((State_14_9==1)&&(State_13_13==1)))||((State_6_9==1)&&(State_5_13==1)))||((State_12_3==1)&&(State_13_14==1)))||((State_3_2==1)&&(State_2_1==1)))||((State_1_2==1)&&(State_2_9==1)))||((State_6_1==1)&&(State_7_13==1)))||((State_5_13==1)&&(State_6_6==1)))||((State_13_15==1)&&(State_14_3==1)))||((State_10_0==1)&&(State_9_5==1)))||((State_6_0==1)&&(State_5_6==1)))||((State_0_11==1)&&(State_1_15==1)))||((State_13_7==1)&&(State_12_0==1)))||((State_1_4==1)&&(State_2_12==1)))||((State_3_12==1)&&(State_2_9==1)))||((State_11_12==1)&&(State_12_11==1)))||((State_1_14==1)&&(State_2_8==1)))||((State_4_12==1)&&(State_3_2==1)))||((State_11_10==1)&&(State_10_5==1)))||((State_13_10==1)&&(State_14_8==1)))||((State_11_6==1)&&(State_12_10==1)))||((State_7_9==1)&&(State_8_15==1)))||((State_8_13==1)&&(State_7_3==1)))||((State_6_8==1)&&(State_5_1==1)))||((State_8_9==1)&&(State_7_7==1)))||((State_3_0==1)&&(State_4_15==1)))||((State_13_11==1)&&(State_14_4==1)))||((State_12_0==1)&&(State_13_6==1)))||((State_6_4==1)&&(State_7_1==1)))||((State_2_13==1)&&(State_1_12==1)))||((State_9_1==1)&&(State_10_6==1)))||((State_6_9==1)&&(State_7_7==1)))||((State_3_1==1)&&(State_4_11==1)))||((State_1_11==1)&&(State_2_5==1)))||((State_14_5==1)&&(State_13_8==1)))||((State_2_7==1)&&(State_3_14==1)))||((State_13_15==1)&&(State_14_10==1)))||((State_5_12==1)&&(State_4_11==1)))||((State_3_8==1)&&(State_2_2==1)))||((State_9_13==1)&&(State_8_15==1)))||((State_5_15==1)&&(State_4_1==1)))||((State_11_11==1)&&(State_10_4==1)))||((State_11_15==1)&&(State_10_1==1)))||((State_2_3==1)&&(State_3_2==1)))||((State_1_4==1)&&(State_0_9==1)))||((State_2_4==1)&&(State_3_7==1)))||((State_7_10==1)&&(State_8_3==1)))||((State_13_10==1)&&(State_14_4==1)))||((State_3_3==1)&&(State_4_14==1)))||((State_12_11==1)&&(State_11_2==1)))||((State_12_5==1)&&(State_13_0==1)))||((State_8_11==1)&&(State_7_7==1)))||((State_3_0==1)&&(State_4_5==1)))||((State_1_11==1)&&(State_2_8==1)))||((State_13_10==1)&&(State_12_7==1)))||((State_2_11==1)&&(State_1_12==1)))||((State_6_14==1)&&(State_7_15==1)))||((State_4_7==1)&&(State_3_10==1)))||((State_1_14==1)&&(State_2_5==1)))||((State_4_3==1)&&(State_5_5==1)))||((State_3_15==1)&&(State_2_1==1)))||((State_10_3==1)&&(State_9_12==1)))||((State_1_7==1)&&(State_2_2==1)))||((State_9_15==1)&&(State_8_0==1)))||((State_5_4==1)&&(State_6_6==1)))||((State_10_0==1)&&(State_9_11==1)))||((State_15_4==1)&&(State_14_10==1)))||((State_8_12==1)&&(State_7_9==1)))||((State_11_7==1)&&(State_10_14==1)))||((State_6_6==1)&&(State_7_11==1)))||((State_14_2==1)&&(State_13_8==1)))||((State_7_14==1)&&(State_6_6==1)))||((State_3_6==1)&&(State_4_7==1)))||((State_14_9==1)&&(State_13_6==1)))||((State_1_10==1)&&(State_2_8==1)))||((State_7_2==1)&&(State_8_6==1)))||((State_1_8==1)&&(State_0_0==1)))||((State_5_13==1)&&(State_4_5==1)))||((State_6_4==1)&&(State_7_11==1)))||((State_2_6==1)&&(State_1_15==1)))||((State_4_11==1)&&(State_5_1==1)))||((State_0_4==1)&&(State_1_2==1)))||((State_10_3==1)&&(State_11_0==1)))||((State_12_11==1)&&(State_13_9==1)))||((State_3_9==1)&&(State_2_6==1)))||((State_3_6==1)&&(State_4_1==1)))||((State_14_14==1)&&(State_13_15==1)))||((State_10_13==1)&&(State_11_1==1)))||((State_13_11==1)&&(State_12_7==1)))||((State_9_0==1)&&(State_10_15==1)))||((State_14_8==1)&&(State_15_11==1)))||((State_13_2==1)&&(State_12_12==1)))||((State_12_11==1)&&(State_13_6==1)))||((State_13_11==1)&&(State_14_8==1)))||((State_12_4==1)&&(State_13_6==1)))||((State_3_0==1)&&(State_4_6==1)))||((State_1_4==1)&&(State_2_10==1)))||((State_2_3==1)&&(State_3_14==1)))||((State_13_2==1)&&(State_14_3==1)))||((State_0_10==1)&&(State_1_13==1)))||((State_12_10==1)&&(State_11_13==1)))||((State_1_15==1)&&(State_0_7==1)))||((State_14_15==1)&&(State_15_11==1)))||((State_3_4==1)&&(State_4_2==1)))||((State_8_2==1)&&(State_7_11==1)))||((State_6_13==1)&&(State_7_6==1)))||((State_11_3==1)&&(State_10_4==1)))||((State_2_6==1)&&(State_3_5==1)))||((State_14_2==1)&&(State_13_13==1)))||((State_5_2==1)&&(State_4_3==1)))||((State_6_12==1)&&(State_7_3==1)))||((State_2_10==1)&&(State_1_2==1)))||((State_5_10==1)&&(State_6_3==1)))||((State_11_2==1)&&(State_12_7==1)))||((State_14_7==1)&&(State_13_14==1)))||((State_10_2==1)&&(State_9_9==1)))||((State_12_2==1)&&(State_11_15==1)))||((State_14_2==1)&&(State_13_15==1)))||((State_2_6==1)&&(State_3_7==1)))||((State_6_9==1)&&(State_5_4==1)))||((State_10_9==1)&&(State_11_14==1)))||((State_2_2==1)&&(State_3_10==1)))||((State_11_8==1)&&(State_12_3==1)))||((State_4_9==1)&&(State_5_10==1)))||((State_10_10==1)&&(State_9_2==1)))||((State_8_2==1)&&(State_7_7==1)))||((State_1_5==1)&&(State_2_12==1)))||((State_2_10==1)&&(State_3_4==1)))||((State_12_1==1)&&(State_13_15==1)))||((State_6_3==1)&&(State_7_15==1)))||((State_11_1==1)&&(State_10_8==1)))||((State_3_15==1)&&(State_4_1==1)))||((State_11_12==1)&&(State_12_0==1)))||((State_11_2==1)&&(State_12_0==1)))||((State_0_4==1)&&(State_1_3==1)))||((State_11_6==1)&&(State_10_0==1)))||((State_15_10==1)&&(State_14_5==1)))||((State_8_8==1)&&(State_7_6==1)))||((State_6_11==1)&&(State_5_10==1)))||((State_13_10==1)&&(State_12_1==1)))||((State_13_8==1)&&(State_12_14==1)))||((State_12_7==1)&&(State_13_6==1)))||((State_11_14==1)&&(State_10_4==1)))||((State_9_1==1)&&(State_10_12==1)))||((State_3_8==1)&&(State_4_5==1)))||((State_5_8==1)&&(State_4_5==1)))||((State_2_15==1)&&(State_1_8==1)))||((State_6_0==1)&&(State_7_11==1)))||((State_3_14==1)&&(State_4_1==1)))||((State_1_10==1)&&(State_2_5==1)))||((State_12_12==1)&&(State_13_4==1)))||((State_11_6==1)&&(State_10_3==1)))||((State_2_4==1)&&(State_1_15==1)))||((State_10_10==1)&&(State_9_14==1)))||((State_4_7==1)&&(State_5_12==1)))||((State_10_7==1)&&(State_11_15==1)))||((State_12_11==1)&&(State_13_3==1)))||((State_6_5==1)&&(State_7_8==1)))||((State_6_7==1)&&(State_5_11==1)))||((State_10_9==1)&&(State_9_8==1)))||((State_14_11==1)&&(State_13_3==1)))||((State_9_1==1)&&(State_8_11==1)))||((State_5_15==1)&&(State_6_9==1)))||((State_14_9==1)&&(State_13_3==1)))||((State_8_4==1)&&(State_9_10==1)))||((State_5_10==1)&&(State_4_8==1)))||((State_2_10==1)&&(State_3_15==1)))||((State_2_7==1)&&(State_1_14==1)))||((State_5_15==1)&&(State_4_7==1)))||((State_14_11==1)&&(State_13_9==1)))||((State_6_1==1)&&(State_5_10==1)))||((State_12_2==1)&&(State_13_0==1)))||((State_10_14==1)&&(State_11_9==1)))||((State_4_9==1)&&(State_3_12==1)))||((State_2_11==1)&&(State_1_13==1)))||((State_12_15==1)&&(State_13_14==1)))||((State_11_12==1)&&(State_10_8==1)))||((State_11_1==1)&&(State_12_0==1)))||((State_2_7==1)&&(State_3_2==1)))||((State_5_12==1)&&(State_6_0==1)))||((State_6_10==1)&&(State_5_14==1)))||((State_2_4==1)&&(State_1_0==1)))||((State_12_1==1)&&(State_13_8==1)))||((State_5_15==1)&&(State_6_13==1)))||((State_8_5==1)&&(State_7_6==1)))||((State_1_10==1)&&(State_0_12==1)))||((State_8_1==1)&&(State_9_11==1)))||((State_12_8==1)&&(State_11_10==1)))||((State_13_5==1)&&(State_14_3==1)))||((State_5_6==1)&&(State_4_5==1)))||((State_10_7==1)&&(State_9_6==1)))||((State_8_15==1)&&(State_7_0==1)))||((State_14_5==1)&&(State_13_15==1)))||((State_10_6==1)&&(State_11_4==1)))||((State_12_5==1)&&(State_11_15==1)))||((State_4_12==1)&&(State_3_5==1)))||((State_0_4==1)&&(State_1_10==1)))||((State_13_10==1)&&(State_12_6==1)))||((State_13_1==1)&&(State_12_13==1)))||((State_4_8==1)&&(State_3_11==1)))||((State_8_12==1)&&(State_7_7==1)))||((State_7_10==1)&&(State_6_7==1)))||((State_6_14==1)&&(State_5_9==1)))||((State_10_2==1)&&(State_11_11==1)))||((State_11_3==1)&&(State_10_11==1)))||((State_3_1==1)&&(State_2_0==1)))||((State_8_4==1)&&(State_9_15==1)))||((State_7_2==1)&&(State_8_5==1)))||((State_14_13==1)&&(State_13_15==1)))||((State_11_2==1)&&(State_10_8==1)))||((State_15_4==1)&&(State_14_9==1)))||((State_10_13==1)&&(State_9_12==1)))||((State_2_0==1)&&(State_1_5==1)))||((State_14_5==1)&&(State_13_13==1)))||((State_14_11==1)&&(State_13_6==1)))||((State_2_6==1)&&(State_1_0==1)))||((State_9_13==1)&&(State_8_14==1)))||((State_3_5==1)&&(State_4_11==1)))||((State_3_9==1)&&(State_2_2==1)))||((State_2_13==1)&&(State_3_11==1)))||((State_3_3==1)&&(State_4_13==1)))||((State_3_2==1)&&(State_4_5==1)))||((State_12_15==1)&&(State_11_0==1)))||((State_9_7==1)&&(State_10_10==1)))||((State_6_14==1)&&(State_5_0==1)))||((State_13_4==1)&&(State_12_14==1)))||((State_12_1==1)&&(State_13_13==1)))||((State_1_5==1)&&(State_0_9==1)))||((State_7_12==1)&&(State_8_3==1)))||((State_10_13==1)&&(State_11_0==1)))||((State_7_10==1)&&(State_8_0==1)))||((State_5_9==1)&&(State_6_10==1)))||((State_9_10==1)&&(State_8_15==1)))||((State_13_11==1)&&(State_12_0==1)))||((State_13_5==1)&&(State_12_12==1)))||((State_4_9==1)&&(State_3_13==1)))||((State_7_2==1)&&(State_6_4==1)))||((State_10_3==1)&&(State_9_10==1)))||((State_6_11==1)&&(State_7_8==1)))||((State_5_5==1)&&(State_4_0==1)))||((State_8_0==1)&&(State_7_11==1)))||((State_4_0==1)&&(State_5_14==1)))||((State_0_10==1)&&(State_1_12==1)))||((State_2_10==1)&&(State_1_3==1)))||((State_7_9==1)&&(State_8_2==1)))||((State_4_15==1)&&(State_5_6==1)))||((State_14_1==1)&&(State_13_13==1)))||((State_3_1==1)&&(State_2_10==1)))||((State_2_4==1)&&(State_1_14==1)))||((State_12_6==1)&&(State_11_14==1)))||((State_11_13==1)&&(State_10_8==1)))||((State_5_15==1)&&(State_6_7==1)))||((State_9_7==1)&&(State_10_14==1)))||((State_12_1==1)&&(State_13_12==1)))||((State_2_7==1)&&(State_1_15==1)))||((State_2_0==1)&&(State_1_8==1)))||((State_5_10==1)&&(State_6_15==1)))||((State_12_0==1)&&(State_13_1==1)))||((State_15_11==1)&&(State_14_6==1)))||((State_6_0==1)&&(State_5_13==1)))||((State_1_2==1)&&(State_0_9==1)))||((State_9_1==1)&&(State_10_2==1)))||((State_9_10==1)&&(State_8_14==1)))||((State_12_0==1)&&(State_11_9==1)))||((State_12_5==1)&&(State_13_9==1)))||((State_12_11==1)&&(State_11_9==1)))||((State_4_13==1)&&(State_3_2==1)))||((State_5_9==1)&&(State_6_0==1)))||((State_13_10==1)&&(State_12_11==1)))||((State_2_15==1)&&(State_3_3==1)))||((State_3_12==1)&&(State_4_10==1)))||((State_11_6==1)&&(State_10_14==1)))||((State_3_4==1)&&(State_4_11==1)))||((State_10_13==1)&&(State_9_10==1)))||((State_7_12==1)&&(State_8_0==1)))||((State_1_15==1)&&(State_2_1==1)))||((State_6_0==1)&&(State_5_11==1)))||((State_3_12==1)&&(State_2_15==1)))||((State_10_6==1)&&(State_11_13==1)))||((State_4_9==1)&&(State_3_10==1)))||((State_5_10==1)&&(State_4_14==1)))||((State_7_9==1)&&(State_6_3==1)))||((State_0_2==1)&&(State_1_8==1)))||((State_14_1==1)&&(State_13_15==1)))||((State_0_8==1)&&(State_1_12==1)))||((State_8_14==1)&&(State_7_1==1)))||((State_7_12==1)&&(State_6_7==1)))||((State_8_9==1)&&(State_7_11==1)))||((State_9_6==1)&&(State_10_14==1)))||((State_4_7==1)&&(State_5_14==1)))||((State_5_0==1)&&(State_6_7==1)))||((State_0_15==1)&&(State_1_0==1)))||((State_15_7==1)&&(State_14_4==1)))||((State_12_5==1)&&(State_13_3==1)))||((State_4_6==1)&&(State_3_3==1)))||((State_4_12==1)&&(State_5_2==1)))||((State_10_0==1)&&(State_11_1==1)))||((State_6_11==1)&&(State_5_14==1)))||((State_13_11==1)&&(State_12_6==1)))||((State_11_10==1)&&(State_10_12==1)))||((State_3_9==1)&&(State_4_7==1)))||((State_10_14==1)&&(State_9_2==1)))||((State_6_0==1)&&(State_5_7==1)))||((State_0_4==1)&&(State_1_11==1)))||((State_1_2==1)&&(State_2_12==1)))||((State_12_8==1)&&(State_11_7==1)))||((State_1_9==1)&&(State_0_6==1)))||((State_4_4==1)&&(State_3_13==1)))||((State_12_10==1)&&(State_11_1==1)))||((State_1_12==1)&&(State_0_3==1)))||((State_3_15==1)&&(State_2_11==1)))||((State_0_4==1)&&(State_1_6==1)))||((State_1_3==1)&&(State_0_15==1)))||((State_12_7==1)&&(State_13_9==1)))||((State_8_12==1)&&(State_7_0==1)))||((State_11_1==1)&&(State_12_4==1)))||((State_5_0==1)&&(State_6_9==1)))||((State_12_15==1)&&(State_11_1==1)))||((State_3_3==1)&&(State_4_10==1)))||((State_14_4==1)&&(State_15_15==1)))||((State_2_4==1)&&(State_3_5==1)))||((State_14_9==1)&&(State_13_1==1)))||((State_9_0==1)&&(State_10_10==1)))||((State_4_14==1)&&(State_3_13==1)))||((State_7_3==1)&&(State_6_10==1)))||((State_2_3==1)&&(State_3_5==1)))||((State_5_14==1)&&(State_4_10==1)))||((State_15_13==1)&&(State_14_8==1)))||((State_15_7==1)&&(State_14_8==1)))||((State_10_10==1)&&(State_9_6==1)))||((State_5_10==1)&&(State_4_13==1)))||((State_14_15==1)&&(State_13_2==1)))||((State_14_7==1)&&(State_15_2==1)))||((State_9_3==1)&&(State_8_0==1)))||((State_1_1==1)&&(State_0_13==1)))||((State_6_4==1)&&(State_7_7==1)))||((State_12_5==1)&&(State_13_6==1)))||((State_15_0==1)&&(State_14_12==1)))||((State_6_0==1)&&(State_7_9==1)))||((State_6_1==1)&&(State_5_14==1)))||((State_2_3==1)&&(State_1_15==1)))||((State_12_11==1)&&(State_13_1==1)))||((State_12_7==1)&&(State_13_3==1)))||((State_14_13==1)&&(State_13_12==1)))||((State_2_10==1)&&(State_3_6==1)))||((State_8_14==1)&&(State_7_11==1)))||((State_14_10==1)&&(State_13_1==1)))||((State_6_5==1)&&(State_5_10==1)))||((State_11_6==1)&&(State_12_12==1)))||((State_5_0==1)&&(State_6_13==1)))||((State_1_12==1)&&(State_0_15==1)))||((State_2_7==1)&&(State_3_5==1)))||((State_7_1==1)&&(State_8_9==1)))||((Stat
e_7_3==1)&&(State_8_11==1)))||((State_7_4==1)&&(State_6_10==1)))||((State_14_5==1)&&(State_13_1==1)))||((State_6_9==1)&&(State_7_11==1)))||((State_3_1==1)&&(State_2_12==1)))||((State_1_4==1)&&(State_2_9==1)))||((State_14_7==1)&&(State_15_0==1)))||((State_10_15==1)&&(State_9_4==1)))||((State_1_9==1)&&(State_0_13==1)))||((State_3_12==1)&&(State_4_13==1)))||((State_14_7==1)&&(State_15_12==1)))||((State_6_5==1)&&(State_5_12==1)))||((State_9_11==1)&&(State_10_1==1)))||((State_10_13==1)&&(State_9_15==1)))||((State_11_7==1)&&(State_10_2==1)))||((State_7_0==1)&&(State_8_11==1)))||((State_3_6==1)&&(State_2_2==1)))||((State_8_4==1)&&(State_7_10==1)))||((State_8_2==1)&&(State_9_9==1)))||((State_13_10==1)&&(State_12_0==1)))||((State_12_3==1)&&(State_11_10==1)))||((State_15_0==1)&&(State_14_13==1)))||((State_7_0==1)&&(State_6_10==1)))||((State_6_11==1)&&(State_7_3==1)))||((State_1_14==1)&&(State_0_12==1)))||((State_8_10==1)&&(State_7_3==1)))||((State_10_15==1)&&(State_11_5==1)))||((State_7_4==1)&&(State_8_11==1)))||((State_11_12==1)&&(State_10_1==1)))||((State_2_4==1)&&(State_3_2==1)))||((State_1_4==1)&&(State_2_3==1)))||((State_2_12==1)&&(State_1_13==1)))||((State_10_2==1)&&(State_9_8==1)))||((State_2_0==1)&&(State_3_3==1)))||((State_2_1==1)&&(State_3_13==1)))||((State_3_5==1)&&(State_4_4==1)))||((State_0_3==1)&&(State_1_15==1)))||((State_4_12==1)&&(State_5_0==1)))||((State_2_4==1)&&(State_3_14==1)))||((State_2_3==1)&&(State_3_7==1)))||((State_10_10==1)&&(State_11_15==1)))||((State_11_12==1)&&(State_12_5==1)))||((State_14_11==1)&&(State_13_0==1)))||((State_9_13==1)&&(State_10_5==1)))||((State_12_6==1)&&(State_11_11==1)))||((State_13_2==1)&&(State_12_10==1)))||((State_12_1==1)&&(State_11_3==1)))||((State_13_4==1)&&(State_12_0==1)))||((State_8_8==1)&&(State_9_4==1)))||((State_8_5==1)&&(State_9_4==1)))||((State_8_13==1)&&(State_7_8==1)))||((State_1_11==1)&&(State_0_12==1)))||((State_3_11==1)&&(State_2_8==1)))||((State_9_10==1)&&(State_10_4==1)))||((State_13_7==1)&&(State_12_13==1)))||((State_4_9==1)&&(State_5_12==1)))||((State_10_0==1)&&(State_9_12==1)))||((State_11_6==1)&&(State_10_10==1)))||((State_2_10==1)&&(State_3_9==1)))||((State_1_6==1)&&(State_0_13==1)))||((State_10_3==1)&&(State_11_1==1)))||((State_10_2==1)&&(State_11_14==1)))||((State_6_4==1)&&(State_5_11==1)))||((State_6_11==1)&&(State_5_12==1)))||((State_2_0==1)&&(State_1_7==1)))||((State_11_12==1)&&(State_12_14==1)))||((State_8_7==1)&&(State_7_6==1)))||((State_3_11==1)&&(State_2_
Detected timeout of ITS tools.
java.io.IOException: Stream closed
at java.base/java.io.BufferedInputStream.getBufIfOpen(BufferedInputStream.java:176)
at java.base/java.io.BufferedInputStream.read(BufferedInputStream.java:342)
at java.base/sun.nio.cs.StreamDecoder.readBytes(StreamDecoder.java:284)
at java.base/sun.nio.cs.StreamDecoder.implRead(StreamDecoder.java:326)
at java.base/sun.nio.cs.StreamDecoder.read(StreamDecoder.java:178)
at java.base/java.io.InputStreamReader.read(InputStreamReader.java:185)
at java.base/java.io.BufferedReader.fill(BufferedReader.java:161)
at java.base/java.io.BufferedReader.readLine(BufferedReader.java:326)
at java.base/java.io.BufferedReader.readLine(BufferedReader.java:392)
at fr.lip6.move.gal.application.ITSRunner$ITSInterpreter.run(ITSRunner.java:182)
at java.base/java.lang.Thread.run(Thread.java:834)
[2021-05-19 05:35:45] [INFO ] Flatten gal took : 130 ms
[2021-05-19 05:35:45] [INFO ] Applying decomposition
[2021-05-19 05:35:46] [INFO ] Flatten gal took : 139 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/graph3641289977014426271.txt, -o, /tmp/graph3641289977014426271.bin, -w, /tmp/graph3641289977014426271.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/graph3641289977014426271.bin, -l, -1, -v, -w, /tmp/graph3641289977014426271.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-19 05:35:46] [INFO ] Decomposing Gal with order
[2021-05-19 05:35:46] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-19 05:35:47] [INFO ] Removed a total of 8050 redundant transitions.
[2021-05-19 05:35:47] [INFO ] Flatten gal took : 257 ms
[2021-05-19 05:35:50] [INFO ] Fuse similar labels procedure discarded/fused a total of 274 labels/synchronizations in 73 ms.
[2021-05-19 05:35:50] [INFO ] Time to serialize gal into /tmp/CTLFireability749535289808569407.gal : 15 ms
[2021-05-19 05:35:50] [INFO ] Time to serialize properties into /tmp/CTLFireability3691993226863453906.ctl : 25 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability749535289808569407.gal, -t, CGAL, -ctl, /tmp/CTLFireability3691993226863453906.ctl], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability749535289808569407.gal -t CGAL -ctl /tmp/CTLFireability3691993226863453906.ctl
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Detected timeout of ITS tools.
Applied a total of 0 rules in 121 ms. Remains 256 /256 variables (removed 0) and now considering 3616/3616 (removed 0) transitions.
[2021-05-19 05:36:21] [INFO ] Flatten gal took : 80 ms
[2021-05-19 05:36:21] [INFO ] Flatten gal took : 104 ms
[2021-05-19 05:36:21] [INFO ] Input system was already deterministic with 3616 transitions.
[2021-05-19 05:36:22] [INFO ] Flatten gal took : 87 ms
[2021-05-19 05:36:22] [INFO ] Flatten gal took : 93 ms
[2021-05-19 05:36:22] [INFO ] Time to serialize gal into /tmp/CTLFireability789655226261393920.gal : 13 ms
[2021-05-19 05:36:22] [INFO ] Time to serialize properties into /tmp/CTLFireability2410153391821468557.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability789655226261393920.gal, -t, CGAL, -ctl, /tmp/CTLFireability2410153391821468557.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability789655226261393920.gal -t CGAL -ctl /tmp/CTLFireability2410153391821468557.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,3.53579e+07,3.95905,99440,2,11476,5,402137,6,0,4643,16339,0
Converting to forward existential form...Done !
Detected timeout of ITS tools.
[2021-05-19 05:36:52] [INFO ] Flatten gal took : 91 ms
[2021-05-19 05:36:52] [INFO ] Applying decomposition
[2021-05-19 05:36:52] [INFO ] Flatten gal took : 93 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/graph6601408151985351872.txt, -o, /tmp/graph6601408151985351872.bin, -w, /tmp/graph6601408151985351872.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/graph6601408151985351872.bin, -l, -1, -v, -w, /tmp/graph6601408151985351872.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-19 05:36:52] [INFO ] Decomposing Gal with order
[2021-05-19 05:36:52] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-19 05:36:52] [INFO ] Removed a total of 8148 redundant transitions.
[2021-05-19 05:36:52] [INFO ] Flatten gal took : 195 ms
[2021-05-19 05:36:53] [INFO ] Fuse similar labels procedure discarded/fused a total of 109 labels/synchronizations in 60 ms.
[2021-05-19 05:36:53] [INFO ] Time to serialize gal into /tmp/CTLFireability735071030838889614.gal : 23 ms
[2021-05-19 05:36:53] [INFO ] Time to serialize properties into /tmp/CTLFireability10708841959489209852.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability735071030838889614.gal, -t, CGAL, -ctl, /tmp/CTLFireability10708841959489209852.ctl], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability735071030838889614.gal -t CGAL -ctl /tmp/CTLFireability10708841959489209852.ctl
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Detected timeout of ITS tools.
Applied a total of 0 rules in 74 ms. Remains 256 /256 variables (removed 0) and now considering 3616/3616 (removed 0) transitions.
[2021-05-19 05:37:25] [INFO ] Flatten gal took : 115 ms
[2021-05-19 05:37:25] [INFO ] Flatten gal took : 197 ms
[2021-05-19 05:37:25] [INFO ] Input system was already deterministic with 3616 transitions.
[2021-05-19 05:37:25] [INFO ] Flatten gal took : 93 ms
[2021-05-19 05:37:25] [INFO ] Flatten gal took : 88 ms
[2021-05-19 05:37:25] [INFO ] Time to serialize gal into /tmp/CTLFireability13340201863850451118.gal : 9 ms
[2021-05-19 05:37:25] [INFO ] Time to serialize properties into /tmp/CTLFireability10387894592022177724.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability13340201863850451118.gal, -t, CGAL, -ctl, /tmp/CTLFireability10387894592022177724.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability13340201863850451118.gal -t CGAL -ctl /tmp/CTLFireability10387894592022177724.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,3.53579e+07,4.1006,99744,2,11476,5,402137,6,0,4643,16339,0
Converting to forward existential form...Done !
original formula: (EF((((((A(((((((((((State_10_3==0)||(State_11_0==0))&&((State_6_2==0)||(State_7_15==0)))&&((State_11_3==0)||(State_12_13==0)))&&((State_10_2==0)||(State_11_11==0)))&&((State_1_14==0)||(State_0_10==0)))&&((State_3_6==0)||(State_4_1==0)))&&((State_14_1==0)||(State_13_0==0)))&&((State_2_1==0)||(State_3_13==0)))&&((State_5_15==0)||(State_6_3==0))) U AF((((State_14_9==1)&&(State_13_0==1))||((State_12_5==1)&&(State_11_8==1))))) + ((State_3_7==1)&&(State_4_1==1))) + ((State_13_10==1)&&(State_14_8==1))) + ((State_10_0==1)&&(State_11_2==1))) + ((State_2_13==1)&&(State_1_12==1))) + ((State_3_6==1)&&(State_4_9==1)))) + AG((((A((((((((((((State_11_8==1)&&(State_10_14==1))||((State_13_2==1)&&(State_12_0==1)))||((State_8_14==1)&&(State_7_8==1)))||((State_3_11==1)&&(State_4_14==1)))||((State_6_1==1)&&(State_5_6==1)))||((State_9_1==1)&&(State_8_11==1)))||((State_5_5==1)&&(State_4_1==1)))||((State_10_14==1)&&(State_9_8==1)))&&(State_9_7==1))&&(State_10_4==1)) U (((((((((State_6_9==1)&&(State_5_4==1))||((State_10_2==1)&&(State_9_5==1)))||((State_4_12==1)&&(State_3_8==1)))||((State_5_0==1)&&(State_4_11==1)))||((State_3_9==1)&&(State_2_11==1)))||((State_6_8==1)&&(State_7_9==1)))||((State_9_1==1)&&(State_8_15==1)))||((State_1_1==1)&&(State_2_11==1)))) + ((((State_6_1==0)||(State_5_12==0))&&((State_10_8==0)||(State_11_0==0)))&&((State_9_1==0)||(State_8_12==0)))) + ((((((State_9_2==0)||(State_10_11==0))&&((State_7_2==0)||(State_8_9==0)))&&((State_3_10==0)||(State_4_2==0)))&&((State_5_2==0)||(State_4_0==0)))&&((State_12_7==0)||(State_13_8==0)))) + (((((((State_11_6==0)||(State_12_12==0))&&((State_7_4==0)||(State_6_9==0)))&&((State_4_9==0)||(State_3_8==0)))&&((State_11_14==0)||(State_12_4==0)))&&((State_12_6==0)||(State_11_7==0)))&&((State_0_4==0)||(State_1_2==0))))))
=> equivalent forward existential formula: ([(FwdU((((FwdU((Init * !(E(TRUE U (((((!((E(!(!(EG(!((((State_14_9==1)&&(State_13_0==1))||((State_12_5==1)&&(State_11_8==1))))))) U (!(((((((((((State_10_3==0)||(State_11_0==0))&&((State_6_2==0)||(State_7_15==0)))&&((State_11_3==0)||(State_12_13==0)))&&((State_10_2==0)||(State_11_11==0)))&&((State_1_14==0)||(State_0_10==0)))&&((State_3_6==0)||(State_4_1==0)))&&((State_14_1==0)||(State_13_0==0)))&&((State_2_1==0)||(State_3_13==0)))&&((State_5_15==0)||(State_6_3==0)))) * !(!(EG(!((((State_14_9==1)&&(State_13_0==1))||((State_12_5==1)&&(State_11_8==1))))))))) + EG(!(!(EG(!((((State_14_9==1)&&(State_13_0==1))||((State_12_5==1)&&(State_11_8==1)))))))))) + ((State_3_7==1)&&(State_4_1==1))) + ((State_13_10==1)&&(State_14_8==1))) + ((State_10_0==1)&&(State_11_2==1))) + ((State_2_13==1)&&(State_1_12==1))) + ((State_3_6==1)&&(State_4_9==1)))))),TRUE) * !((((((((State_11_6==0)||(State_12_12==0))&&((State_7_4==0)||(State_6_9==0)))&&((State_4_9==0)||(State_3_8==0)))&&((State_11_14==0)||(State_12_4==0)))&&((State_12_6==0)||(State_11_7==0)))&&((State_0_4==0)||(State_1_2==0))))) * !(((((((State_9_2==0)||(State_10_11==0))&&((State_7_2==0)||(State_8_9==0)))&&((State_3_10==0)||(State_4_2==0)))&&((State_5_2==0)||(State_4_0==0)))&&((State_12_7==0)||(State_13_8==0))))) * !(((((State_6_1==0)||(State_5_12==0))&&((State_10_8==0)||(State_11_0==0)))&&((State_9_1==0)||(State_8_12==0))))),!((((((((((State_6_9==1)&&(State_5_4==1))||((State_10_2==1)&&(State_9_5==1)))||((State_4_12==1)&&(State_3_8==1)))||((State_5_0==1)&&(State_4_11==1)))||((State_3_9==1)&&(State_2_11==1)))||((State_6_8==1)&&(State_7_9==1)))||((State_9_1==1)&&(State_8_15==1)))||((State_1_1==1)&&(State_2_11==1))))) * (!((((((((((((State_11_8==1)&&(State_10_14==1))||((State_13_2==1)&&(State_12_0==1)))||((State_8_14==1)&&(State_7_8==1)))||((State_3_11==1)&&(State_4_14==1)))||((State_6_1==1)&&(State_5_6==1)))||((State_9_1==1)&&(State_8_11==1)))||((State_5_5==1)&&(State_4_1==1)))||((State_10_14==1)&&(State_9_8==1)))&&(State_9_7==1))&&(State_10_4==1))) * !((((((((((State_6_9==1)&&(State_5_4==1))||((State_10_2==1)&&(State_9_5==1)))||((State_4_12==1)&&(State_3_8==1)))||((State_5_0==1)&&(State_4_11==1)))||((State_3_9==1)&&(State_2_11==1)))||((State_6_8==1)&&(State_7_9==1)))||((State_9_1==1)&&(S
java.io.IOException: Stream closed
at java.base/java.io.BufferedInputStream.getBufIfOpen(BufferedInputStream.java:176)
at java.base/java.io.BufferedInputStream.read(BufferedInputStream.java:342)
at java.base/sun.nio.cs.StreamDecoder.readBytes(StreamDecoder.java:284)
at java.base/sun.nio.cs.StreamDecoder.implRead(StreamDecoder.java:326)
at java.base/sun.nio.cs.StreamDecoder.read(StreamDecoder.java:178)
at java.base/java.io.InputStreamReader.read(InputStreamReader.java:185)
at java.base/java.io.BufferedReader.fill(BufferedReader.java:161)
at java.base/java.io.BufferedReader.readLine(BufferedReader.java:326)
at java.base/java.io.BufferedReader.readLine(BufferedReader.java:392)
at fr.lip6.move.gal.application.ITSRunner$ITSInterpreter.run(ITSRunner.java:182)
at java.base/java.lang.Thread.run(Thread.java:834)
Detected timeout of ITS tools.
[2021-05-19 05:37:55] [INFO ] Flatten gal took : 86 ms
[2021-05-19 05:37:55] [INFO ] Applying decomposition
[2021-05-19 05:37:55] [INFO ] Flatten gal took : 98 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/graph4354730037965099848.txt, -o, /tmp/graph4354730037965099848.bin, -w, /tmp/graph4354730037965099848.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/graph4354730037965099848.bin, -l, -1, -v, -w, /tmp/graph4354730037965099848.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-19 05:37:56] [INFO ] Decomposing Gal with order
[2021-05-19 05:37:56] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-19 05:37:56] [INFO ] Removed a total of 8078 redundant transitions.
[2021-05-19 05:37:56] [INFO ] Flatten gal took : 212 ms
[2021-05-19 05:37:56] [INFO ] Fuse similar labels procedure discarded/fused a total of 114 labels/synchronizations in 63 ms.
[2021-05-19 05:37:56] [INFO ] Time to serialize gal into /tmp/CTLFireability13911769526753038930.gal : 23 ms
[2021-05-19 05:37:56] [INFO ] Time to serialize properties into /tmp/CTLFireability13267754300159427973.ctl : 2 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability13911769526753038930.gal, -t, CGAL, -ctl, /tmp/CTLFireability13267754300159427973.ctl], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability13911769526753038930.gal -t CGAL -ctl /tmp/CTLFireability13267754300159427973.ctl
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Detected timeout of ITS tools.
Applied a total of 0 rules in 76 ms. Remains 256 /256 variables (removed 0) and now considering 3616/3616 (removed 0) transitions.
[2021-05-19 05:38:28] [INFO ] Flatten gal took : 79 ms
[2021-05-19 05:38:28] [INFO ] Flatten gal took : 125 ms
[2021-05-19 05:38:28] [INFO ] Input system was already deterministic with 3616 transitions.
[2021-05-19 05:38:28] [INFO ] Flatten gal took : 155 ms
[2021-05-19 05:38:29] [INFO ] Flatten gal took : 107 ms
[2021-05-19 05:38:29] [INFO ] Time to serialize gal into /tmp/CTLFireability14742605142224975543.gal : 10 ms
[2021-05-19 05:38:29] [INFO ] Time to serialize properties into /tmp/CTLFireability14248407284605138577.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability14742605142224975543.gal, -t, CGAL, -ctl, /tmp/CTLFireability14248407284605138577.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability14742605142224975543.gal -t CGAL -ctl /tmp/CTLFireability14248407284605138577.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,3.53579e+07,4.65403,99428,2,11476,5,402137,6,0,4643,16339,0
Converting to forward existential form...Done !
Detected timeout of ITS tools.
[2021-05-19 05:38:59] [INFO ] Flatten gal took : 150 ms
[2021-05-19 05:38:59] [INFO ] Applying decomposition
[2021-05-19 05:38:59] [INFO ] Flatten gal took : 152 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/graph10179672903510889406.txt, -o, /tmp/graph10179672903510889406.bin, -w, /tmp/graph10179672903510889406.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/graph10179672903510889406.bin, -l, -1, -v, -w, /tmp/graph10179672903510889406.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-19 05:38:59] [INFO ] Decomposing Gal with order
[2021-05-19 05:38:59] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-19 05:38:59] [INFO ] Removed a total of 8120 redundant transitions.
[2021-05-19 05:39:00] [INFO ] Flatten gal took : 206 ms
[2021-05-19 05:39:00] [INFO ] Fuse similar labels procedure discarded/fused a total of 161 labels/synchronizations in 50 ms.
[2021-05-19 05:39:00] [INFO ] Time to serialize gal into /tmp/CTLFireability14892366211161750851.gal : 16 ms
[2021-05-19 05:39:00] [INFO ] Time to serialize properties into /tmp/CTLFireability16248338563166810245.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability14892366211161750851.gal, -t, CGAL, -ctl, /tmp/CTLFireability16248338563166810245.ctl], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability14892366211161750851.gal -t CGAL -ctl /tmp/CTLFireability16248338563166810245.ctl
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Detected timeout of ITS tools.
[2021-05-19 05:39:30] [INFO ] Initial state reduction rules for CTL removed 2 formulas.
[2021-05-19 05:39:30] [INFO ] Flatten gal took : 381 ms
FORMULA TokenRing-PT-015-CTLFireability-02 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA TokenRing-PT-015-CTLFireability-00 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2021-05-19 05:39:33] [INFO ] Flatten gal took : 242 ms
[2021-05-19 05:39:34] [INFO ] Applying decomposition
[2021-05-19 05:39:35] [INFO ] Flatten gal took : 312 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/graph14603944813744590750.txt, -o, /tmp/graph14603944813744590750.bin, -w, /tmp/graph14603944813744590750.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/graph14603944813744590750.bin, -l, -1, -v, -w, /tmp/graph14603944813744590750.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-19 05:39:35] [INFO ] Decomposing Gal with order
[2021-05-19 05:39:35] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-19 05:39:43] [INFO ] Removed a total of 8064 redundant transitions.
[2021-05-19 05:39:44] [INFO ] Flatten gal took : 468 ms
[2021-05-19 05:40:05] [INFO ] Fuse similar labels procedure discarded/fused a total of 105 labels/synchronizations in 28 ms.
[2021-05-19 05:40:05] [INFO ] Time to serialize gal into /tmp/CTLFireability18218939526712116072.gal : 12 ms
[2021-05-19 05:40:05] [INFO ] Time to serialize properties into /tmp/CTLFireability11777568665761641898.ctl : 185 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability18218939526712116072.gal, -t, CGAL, -ctl, /tmp/CTLFireability11777568665761641898.ctl], workingDir=/home/mcc/execution]
its-ctl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability18218939526712116072.gal -t CGAL -ctl /tmp/CTLFireability11777568665761641898.ctl
No direction supplied, using forward translation only.
Parsed 14 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,3.53579e+07,171.289,2483324,9878,14,3.5667e+06,572,4484,9.30753e+06,17,2539,0
Converting to forward existential form...Done !
original formula: AG((EF((AG(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((i1.i11.u63.State_2_3==1)&&(i1.i10.u51.State_3_12==1))||((i1.i14.u103.State_3_14==1)&&(i2.i2.u65.State_4_4==1)))||((i1.i7.u57.State_1_6==1)&&(i1.i3.u35.State_2_5==1)))||((i2.i0.u14.State_4_3==1)&&(i1.i5.u43.State_3_4==1)))||((i1.i3.u36.State_6_5==1)&&(i0.i8.u82.State_7_0==1)))||((i3.i9.u39.State_11_2==1)&&(i3.i13.u105.State_10_4==1)))||((i3.i12.u99.State_13_9==1)&&(i3.i0.u4.State_14_10==1)))||((i3.i6.u7.State_14_6==1)&&(i3.i15.u110.State_13_14==1)))||((i0.i7.u62.State_7_9==1)&&(i0.i8.u82.State_8_0==1)))||((i3.i15.u97.State_14_14==1)&&(i3.i1.u23.State_13_1==1)))||((i2.i0.u14.State_5_3==1)&&(i1.i2.u44.State_6_0==1)))||((i2.i3.u74.State_5_8==1)&&(i0.i6.u55.State_6_12==1)))||((i3.i2.u78.State_11_11==1)&&(i3.i5.u50.State_12_7==1)))||((i3.i3.u104.State_14_8==1)&&(i3.i14.u107.State_15_15==1)))||((i3.i9.u108.State_13_2==1)&&(i3.i15.u110.State_12_14==1)))||((i0.i12.u56.State_7_5==1)&&(i0.i7.u98.State_8_9==1)))||((i0.i1.u11.State_8_10==1)&&(i0.i6.u55.State_7_12==1)))||((i3.i0.u1.State_12_10==1)&&(i3.i6.u7.State_13_6==1)))||((i3.i2.u25.State_14_11==1)&&(i3.i3.u104.State_15_8==1)))||((i0.i4.u31.State_8_1==1)&&(i0.i2.u49.State_9_15==1)))||((i1.i7.u48.State_4_6==1)&&(i1.i4.u37.State_3_15==1)))||((i0.i12.u56.State_8_5==1)&&(i0.i10.u52.State_9_6==1)))||((i0.i11.u22.State_9_13==1)&&(i3.i10.u24.State_10_3==1)))||((i1.i12.u100.State_1_13==1)&&(i1.i15.u111.State_0_7==1)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3.State_3_3==1)&&(i1.i6.u69.State_4_10==1)))||((i3.i13.u45.State_14_4==1)&&(i3.i14.u107.State_15_15==1)))||((i1.i5.u43.State_2_4==1)&&(i1.i3.u73.State_3_5==1)))||((i3.i12.u58.State_14_9==1)&&(i3.i1.u23.State_13_1==1)))||((i0.i8.u0.State_9_0==1)&&(i0.i1.u38.State_10_10==1)))||((i1.i14.u103.State_4_14==1)&&(i1.i12.u86.State_3_13==1)))||((i2.i0.u75.State_7_3==1)&&(i1.i6.u69.State_6_10==1)))||((i1.i11.u63.State_2_3==1)&&(i1.i3.u73.State_3_5==1)))||((i1.i14.u103.State_5_14==1)&&(i1.i6.u69.State_4_10==1)))||((i3.i7.u53.State_15_13==1)&&(i3.i3.u104.State_14_8==1)))||((i3.i5.u33.State_15_7==1)&&(i3.i3.u104.State_14_8==1)))||((i0.i1.u38.State_10_10==1)&&(i0.i10.u52.State_9_6==1)))||((i1.i6.u69.State_5_10==1)&&(i1.i12.u86.State_4_13==1)))||((i3.i14.u107.State_14_15==1)&&(i3.i9.u108.State_13_2==1)))||((i3.i5.u33.State_14_7==1)&&(i3.i9.u108.State_15_2==1)))||((i3.i10.u24.State_9_3==1)&&(i0.i8.u82.State_8_0==1)))||((i1.i0.u12.State_1_1==1)&&(i1.i12.u100.State_0_13==1)))||((i2.i2.u15.State_6_4==1)&&(i0.i3.u17.State_7_7==1)))||((i3.i4.u16.State_12_5==1)&&(i3.i6.u7.State_13_6==1)))||((i3.i11.u34.State_15_0==1)&&(i3.i8.u89.State_14_12==1)))||((i1.i2.u44.State_6_0==1)&&(i0.i7.u62.State_7_9==1)))||((i0.i4.u40.State_6_1==1)&&(i1.i14.u103.State_5_14==1)))||((i1.i11.u63.State_2_3==1)&&(i1.i4.u79.State_1_15==1)))||((i3.i2.u41.State_12_11==1)&&(i3.i1.u23.State_13_1==1)))||((i3.i5.u50.State_12_7==1)&&(i3.i10.u81.State_13_3==1)))||((i3.i7.u53.State_14_13==1)&&(i3.i8.u60.State_13_12==1)))||((i1.i6.u18.State_2_10==1)&&(i1.i7.u48.State_3_6==1)))||((i0.i0.u64.State_8_14==1)&&(i0.i9.u5.State_7_11==1)))||((i3.i0.u4.State_14_10==1)&&(i3.i1.u23.State_13_1==1)))||((i1.i3.u36.State_6_5==1)&&(i1.i6.u69.State_5_10==1)))||((i3.i6.u32.State_11_6==1)&&(i3.i8.u60.State_12_12==1)))||((i1.i2.u44.State_5_0==1)&&(i1.i12.u72.State_6_13==1)))||((i1.i10.u70.State_1_12==1)&&(i1.i4.u79.State_0_15==1)))||((i1.i15.u111.State_2_7==1)&&(i1.i3.u73.State_3_5==1)))||((i0.i4.u40.State_7_1==1)&&(i0.i7.u98.State_8_9==1)))||((i2.i0.u75.State_7_3==1)&&(i0.i9.u83.State_8_11==1)))||((i2.i2.u15.State_7_4==1)&&(i1.i6.u69.State_6_10==1)))||((i3.i4.u27.State_14_5==1)&&(i3.i1.u23.State_13_1==1)))||((i0.i7.u62.State_6_9==1)&&(i0.i9.u5.State_7_11==1)))||((i1.i0.u84.State_3_1==1)&&(i1.i10.u70.State_2_12==1)))||((i1.i5.u10.State_1_4==1)&&(i1.i1.u29.State_2_9==1)))||((i3.i5.u33.State_14_7==1)&&(i3.i11.u34.State_15_0==1)))||((i0.i2.u49.State_10_15==1)&&(i3.i13.u105.State_9_4==1)))||((i1.i1.u85.State_1_9==1)&&(i1.i12.u100.State_0_13==1)))||((i1.i10.u51.State_3_12==1)&&(i1.i12.u86.State_4_13==1)))||((i3.i5.u33.State_14_7==1)&&(i3.i8.u89.State_15_12==1)))||((i1.i3.u36.State_6_5==1)&&(i0.i6.u55.State_5_12==1)))||((i0.i9.u83.State_9_11==1)&&(i0.i4.u31.State_10_1==1)))||((i0.i11.u94.State_10_13==1)&&(i0.i2.u49.State_9_15==1)))||((i3.i5.u50.State_11_7==1)&&(i3.i9.u61.State_10_2==1)))||((i0.i8.u82.State_7_0==1)&&(i0.i9.u83.State_8_11==1)))||((i1.i7.u48.State_3_6==1)&&(i1.i9.u90.State_2_2==1)))||((i2.i2.u15.State_8_4==1)&&(i0.i1.u11.State_7_10==1)))||((i2.i1.u21.State_8_2==1)&&(i0.i7.u98.State_9_9==1)))||((i3.i0.u1.State_13_10==1)&&(i3.i11.u88.State_12_0==1)))||((i3.i10.u81.State_12_3==1)&&(i0.i1.u38.State_11_10==1)))||((i3.i11.u34.State_15_0==1)&&(i3.i7.u53.State_14_13==1)))||((i0.i8.u82.State_7_0==1)&&(i1.i6.u69.State_6_10==1)))||((i0.i9.u5.State_6_11==1)&&(i2.i0.u75.State_7_3==1)))||((i1.i14.u46.State_1_14==1)&&(i1.i10.u70.State_0_12==1)))||((i0.i1.u11.State_8_10==1)&&(i2.i0.u75.State_7_3==1)))||((i0.i2.u49.State_10_15==1)&&(i0.i12.u96.State_11_5==1)))||((i2.i2.u15.State_7_4==1)&&(i0.i9.u83.State_8_11==1)))||((i3.i8.u3.State_11_12==1)&&(i0.i4.u31.State_10_1==1)))||((i1.i5.u43.State_2_4==1)&&(i1.i9.u90.State_3_2==1)))||((i1.i5.u10.State_1_4==1)&&(i1.i11.u63.State_2_3==1)))||((i1.i10.u70.State_2_12==1)&&(i1.i12.u100.State_1_13==1)))||((i3.i9.u61.State_10_2==1)&&(i0.i5.u6.State_9_8==1)))||((i1.i2.u30.State_2_0==1)&&(i1.i11.u63.State_3_3==1)))||((i1.i0.u12.State_2_1==1)&&(i1.i12.u86.State_3_13==1)))||((i1.i3.u73.State_3_5==1)&&(i2.i2.u65.State_4_4==1)))||((i1.i11.u71.State_0_3==1)&&(i1.i4.u79.State_1_15==1)))||((i1.i10.u51.State_4_12==1)&&(i1.i2.u44.State_5_0==1)))||((i1.i5.u43.State_2_4==1)&&(i1.i14.u103.State_3_14==1)))||((i1.i11.u63.State_2_3==1)&&(i1.i15.u59.State_3_7==1)))||((i0.i1.u38.State_10_10==1)&&(i3.i14.u13.State_11_15==1)))||((i3.i8.u3.State_11_12==1)&&(i3.i4.u16.State_12_5==1)))||((i3.i2.u25.State_14_11==1)&&(i3.i11.u88.State_13_0==1)))||((i0.i11.u22.State_9_13==1)&&(i0.i12.u96.State_10_5==1)))||((i3.i6.u32.State_12_6==1)&&(i3.i2.u78.State_11_11==1)))||((i3.i9.u108.State_13_2==1)&&(i3.i0.u1.State_12_10==1)))||((i3.i1.u8.State_12_1==1)&&(i3.i10.u24.State_11_3==1)))||((i3.i13.u45.State_13_4==1)&&(i3.i11.u88.State_12_0==1)))||((i0.i5.u6.State_8_8==1)&&(i3.i13.u105.State_9_4==1)))||((i0.i12.u56.State_8_5==1)&&(i3.i13.u105.State_9_4==1)))||((i0.i11.u22.State_8_13==1)&&(i2.i3.u54.State_7_8==1)))||((i1.i13.u20.State_1_11==1)&&(i1.i10.u70.State_0_12==1)))||((i1.i13.u76.State_3_11==1)&&(i1.i8.u66.State_2_8==1)))||((i0.i1.u11.State_9_10==1)&&(i3.i13.u105.State_10_4==1)))||((i3.i5.u33.State_13_7==1)&&(i3.i7.u109.State_12_13==1)))||((i1.i1.u68.State_4_9==1)&&(i0.i6.u55.State_5_12==1)))||((i0.i8.u0.State_10_0==1)&&(i0.i6.u77.State_9_12==1)))||((i3.i6.u32.State_11_6==1)&&(i0.i1.u38.State_10_10==1)))||((i1.i6.u18.State_2_10==1)&&(i1.i1.u29.State_3_9==1)))||((i1.i7.u57.State_1_6==1)&&(i1.i12.u100.State_0_13==1)))||((i3.i10.u24.State_10_3==1)&&(i3.i1.u8.State_11_1==1)))||((i3.i9.u61.State_10_2==1)&&(i3.i15.u87.State_11_14==1)))||((i2.i2.u15.State_6_4==1)&&(i0.i9.u5.State_5_11==1)))||((i0.i9.u5.State_6_11==1)&&(i0.i6.u55.State_5_12==1)))||((i1.i2.u30.State_2_0==1)&&(i1.i15.u111.State_1_7==1)))||((i3.i8.u3.State_11_12==1)&&(i3.i15.u110.State_12_14==1)))||((i0.i3.u17.State_8_7==1)&&(i0.i10.u92.State_7_6==1)))||((i1.i13.u76.State_3_11==1)&&(i1.i3.u35.State_2_5==1)))||((i0.i4.u40.State_6_1==1)&&(i2.i0.u75.State_7_3==1)))||((i0.i9.u83.State_9_11==1)&&(i0.i8.u82.State_8_0==1)))||((i0.i0.u64.State_9_14==1)&&(i0.i7.u98.State_8_9==1)))||((i2.i2.u15.State_6_4==1)&&(i1.i12.u72.State_5_13==1)))||((i1.i7.u57.State_1_6==1)&&(i1.i2.u102.State_0_0==1)))||((i0.i1.u11.State_9_10==1)&&(i3.i2.u78.State_10_11==1)))||((i1.i11.u71.State_0_3==1)&&(i1.i2.u102.State_1_0==1)))||((i3.i2.u78.State_10_11==1)&&(i3.i13.u105.State_9_4==1)))||((i1.i9.u90.State_2_2==1)&&(i1.i11.u71.State_1_3==1)))||((i1.i11.u63.State_2_3==1)&&(i1.i2.u102.State_1_0==1)))||((i1.i1.u85.State_1_9==1)&&(i1.i2.u102.State_0_0==1)))||((i3.i13.u45.State_14_4==1)&&(i3.i11.u88.State_13_0==1)))||((i1.i1.u85.State_0_9==1)&&(i1.i8.u95.State_1_8==1)))||((i3.i2.u25.State_14_11==1)&&(i3.i14.u107.State_15_15==1)))||((i1.i4.u79.State_1_15==1)&&(i1.i14.u46.State_2_14==1)))||((i2.i2.u15.State_6_4==1)&&(i0.i3.u91.State_5_7==1)))||((i0.i8.u82.State_8_0==1)&&(i0.i3.u17.State_7_7==1)))||((i1.i1.u85.State_1_9==1)&&(i1.i5.u43.State_2_4==1)))||((i0.i6.u55.State_6_12==1)&&(i1.i14.u103.State_5_14==1)))||((i0.i2.u80.State_8_15==1)&&(i0.i6.u55.State_7_12==1)))||((i1.i3.u73.State_3_5==1)&&(i2.i1.u9.State_4_2==1)))||((i3.i8.u60.State_12_12==1)&&(i3.i2.u78.State_11_11==1)))||((i0.i3.u28.State_9_7==1)&&(i0.i2.u49.State_10_15==1)))||((i0.i6.u55.State_5_12==1)&&(i1.i6.u69.State_6_10==1)))||((i1.i10.u51.State_4_12==1)&&(i1.i1.u68.State_5_9==1)))||((i3.i15.u97.State_14_14==1)&&(i3.i8.u60.State_13_12==1)))||((i3.i10.u101.State_14_3==1)&&(i3.i1.u23.State_13_1==1)))||((i0.i6.u77.State_8_12==1)&&(i0.i7.u98.State_9_9==1)))||((i0.i7.u62.State_7_9==1)&&(i1.i4.u19.State_6_15==1)))||((i0.i10.u52.State_8_6==1)&&(i2.i3.u54.State_7_8==1)))||((i3.i12.u106.State_10_9==1)&&(i3.i2.u78.State_11_11==1)))||((i0.i3.u28.State_10_7==1)&&(i0.i7.u98.State_9_9==1)))||((i3.i9.u39.State_12_2==1)&&(i3.i13.u45.State_13_4==1)))||((i0.i9.u83.State_9_11==1)&&(i2.i0.u75.State_8_3==1)))||((i1.i4.u37.State_3_15==1)&&(i1.i14.u46.State_2_14==1)))||((i2.i2.u15.State_6_4==1)&&(i0.i7.u62.State_7_9==1)))||((i1.i3.u36.State_5_5==1)&&(i2.i2.u15.State_6_4==1)))||((i0.i3.u28.State_10_7==1)&&(i0.i4.u31.State_9_1==1)))||((i0.i0.u64.State_8_14==1)&&(i0.i5.u6.State_9_8==1)))||((i1.i0.u12.State_1_1==1)&&(i1.i7.u57.State_0_6==1)))||((i1.i3.u35.State_0_5==1)&&(i1.i11.u71.State_1_3==1)))||((i3.i13.u105.State_10_4==1)&&(i0.i12.u96.State_11_5==1)))||((i3.i6.u32.State_10_6==1)&&(i0.i9.u83.State_9_11==1)))||((i3.i5.u33.State_13_7==1)&&(i3.i12.u99.State_12_9==1)))||((i0.i8.u0.State_9_0==1)&&(i3.i15.u87.State_10_14==1)))||((i1.i15.u111.State_2_7==1)&&(i1.i2.u102.State_1_0==1)))||((i1.i15.u111.State_1_7==1)&&(i1.i7.u57.State_2_6==1)))||((i1.i10.u51.State_4_12==1)&&(i1.i14.u103.State_3_14==1)))||((i1.i2.u44.State_6_0==1)&&(i0.i3.u17.State_7_7==1)))||((i2.i2.u15.State_8_4==1)&&(i0.i6.u77.State_9_12==1)))||((i3.i5.u33.State_13_7==1)&&(i3.i13.u93.State_12_4==1)))||((i3.i1.u23.State_14_1==1)&&(i3.i3.u26.State_13_8==1)))||((i0.i4.u40.State_6_1==1)&&(i0.i6.u55.State_5_12==1)))||((i3.i11.u34.State_15_0==1)&&(i3.i6.u7.State_14_6==1)))||((i3.i8.u60.State_13_12==1)&&(i3.i11.u34.State_14_0==1)))||((i1.i6.u47.State_1_10==1)&&(i1.i15.u111.State_0_7==1)))||((i0.i1.u11.State_9_10==1)&&(i2.i1.u21.State_8_2==1)))||((i3.i3.u26.State_12_8==1)&&(i0.i12.u96.State_11_5==1)))&&(((((((((((((((((i3.i5.u33.State_15_7==1)&&(i1.i15.u111.State_0_7==1))||((i1.i5.u10.State_0_4==1)&&(i3.i13.u45.State_15_4==1)))||((i3.i11.u34.State_15_0==1)&&(i1.i2.u102.State_0_0==1)))||((i3.i8.u89.State_15_12==1)&&(i1.i10.u70.State_0_12==1)))||((i3.i12.u58.State_15_9==1)&&(i1.i1.u85.State_0_9==1)))||((i1.i4.u79.State_0_15==1)&&(i3.i14.u107.State_15_15==1)))||((i1.i14.u46.State_0_14==1)&&(i3.i15.u97.State_15_14==1)))||((i3.i0.u4.State_15_10==1)&&(i1.i6.u47.State_0_10==1)))||((i3.i6.u7.State_15_6==1)&&(i1.i7.u57.State_0_6==1)))||((i3.i7.u53.State_15_13==1)&&(i1.i12.u100.State_0_13==1)))||((i1.i11.u71.State_0_3==1)&&(i3.i10.u101.State_15_3==1)))||((i1.i8.u95.State_0_8==1)&&(i3.i3.u104.State_15_8==1)))||((i1.i13.u20.State_0_11==1)&&(i3.i2.u25.State_15_11==1)))||((i1.i3.u35.State_0_5==1)&&(i3.i4.u27.State_15_5==1)))||((i1.i9.u67.State_0_2==1)&&(i3.i9.u108.State_15_2==1)))||((i3.i1.u23.State_15_1==1)&&(i1.i0.u12.State_0_1==1))))) + (((((((((((((((((i3.i5.u33.State_15_7==0)||(i1.i15.u111.State_0_7==0))&&((i1.i5.u10.State_0_4==0)||(i3.i13.u45.State_15_4==0)))&&((i3.i11.u34.State_15_0==0)||(i1.i2.u102.State_0_0==0)))&&((i3.i8.u89.State_15_12==0)||(i1.i10.u70.State_0_12==0)))&&((i3.i12.u58.State_15_9==0)||(i1.i1.u85.State_0_9==0)))&&((i1.i4.u79.State_0_15==0)||(i3.i14.u107.State_15_15==0)))&&((i1.i14.u46.State_0_14==0)||(i3.i15.u97.State_15_14==0)))&&((i3.i0.u4.State_15_10==0)||(i1.i6.u47.State_0_10==0)))&&((i3.i6.u7.State_15_6==0)||(i1.i7.u57.State_0_6==0)))&&((i3.i7.u53.State_15_13==0)||(i1.i12.u100.State_0_13==0)))&&((i1.i11.u71.State_0_3==0)||(i3.i10.u101.State_15_3==0)))&&((i1.i8.u95.State_0_8==0)||(i3.i3.u104.State_15_8==0)))&&((i1.i13.u20.State_0_11==0)||(i3.i2.u25.State_15_11==0)))&&((i1.i3.u35.State_0_5==0)||(i3.i4.u27.State_15_5==0)))&&((i1.i9.u67.State_0_2==0)||(i3.i9.u108.State_15_2==0)))&&((i3.i1.u23.State_15_1==0)||(i1.i0.u12.State_0_1==0))))) * (((!(EG(EF((((((((((((((((((i3.i5.u33.State_15_7==1)&&(i1.i15.u111.State_0_7==1))||((i1.i5.u10.State_0_4==1)&&(i3.i13.u45.State_15_4==1)))||((i3.i11.u34.State_15_0==1)&&(i1.i2.u102.State_0_0==1)))||((i3.i8.u89.State_15_12==1)&&(i1.i10.u70.State_0_12==1)))||((i3.i12.u58.State_15_9==1)&&(i1.i1.u85.State_0_9==1)))||((i1.i4.u79.State_0_15==1)&&(i3.i14.u107.State_15_15==1)))||((i1.i14.u46.State_0_14==1)&&(i3.i15.u97.State_15_14==1)))||((i3.i0.u4.State_15_10==1)&&(i1.i6.u47.State_0_10==1)))||((i3.i6.u7.State_15_6==1)&&(i1.i7.u57.State_0_6==1)))||((i3.i7.u53.State_15_13==1)&&(i1.i12.u100.State_0_13==1)))||((i1.i11.u71.State_0_3==1)&&(i3.i10.u101.State_15_3==1)))||((i1.i8.u95.State_0_8==1)&&(i3.i3.u104.State_15_8==1)))||((i1.i13.u20.State_0_11==1)&&(i3.i2.u25.State_15_11==1)))||((i1.i3.u35.State_0_5==1)&&(i3.i4.u27.State_15_5==1)))||((i1.i9.u67.State_0_2==1)&&(i3.i9.u108.State_15_2==1)))||((i3.i1.u23.State_15_1==1)&&(i1.i0.u12.State_0_1==1)))))) + 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7_8==0)))&&((i1.i13.u20.State_1_11==0)||(i1.i10.u70.State_0_12==0)))&&((i1.i13.u76.State_3_11==0)||(i1.i8.u66.State_2_8==0)))&&((i0.i1.u11.State_9_10==0)||(i3.i13.u105.State_10_4==0)))&&((i3.i5.u33.State_13_7==0)||(i3.i7.u109.State_12_13==0)))&&((i1.i1.u68.State_4_9==0)||(i0.i6.u55.State_5_12==0)))&&((i0.i8.u0.State_10_0==0)||(i0.i6.u77.State_9_12==0)))&&((i3.i6.u32.State_11_6==0)||(i0.i1.u38.State_10_10==0)))&&((i1.i6.u18.State_2_10==0)||(i1.i1.u29.State_3_9==0)))&&((i1.i7.u57.State_1_6==0)||(i1.i12.u100.State_0_13==0)))&&((i3.i10.u24.State_10_3==0)||(i3.i1.u8.State_11_1==0)))&&((i3.i9.u61.State_10_2==0)||(i3.i15.u87.State_11_14==0)))&&((i2.i2.u15.State_6_4==0)||(i0.i9.u5.State_5_11==0)))&&((i0.i9.u5.State_6_11==0)||(i0.i6.u55.State_5_12==0)))&&((i1.i2.u30.State_2_0==0)||(i1.i15.u111.State_1_7==0)))&&((i3.i8.u3.State_11_12==0)||(i3.i15.u110.State_12_14==0)))&&((i0.i3.u17.State_8_7==0)||(i0.i10.u92.State_7_6==0)))&&((i1.i13.u76.State_3_11==0)||(i1.i3.u35.State_2_5==0)))&&((i0.i4.u40.State_6_1==0)||(i2.i0.u75.State_7_3==0)))&&((i0.i9.u83.State_9_11==0)||(i0.i8.u82.State_8_0==0)))&&((i0.i0.u64.State_9_14==0)||(i0.i7.u98.State_8_9==0)))&&((i2.i2.u15.State_6_4==0)||(i1.i12.u72.State_5_13==0)))&&((i1.i7.u57.State_1_6==0)||(i1.i2.u102.State_0_0==0)))&&((i0.i1.u11.State_9_10==0)||(i3.i2.u78.State_10_11==0)))&&((i1.i11.u71.State_0_3==0)||(i1.i2.u102.State_1_0==0)))&&((i3.i2.u78.State_10_11==0)||(i3.i13.u105.State_9_4==0)))&&((i1.i9.u90.State_2_2==0)||(i1.i11.u71.State_1_3==0)))&&((i1.i11.u63.State_2_3==0)||(i1.i2.u102.State_1_0==0)))&&((i1.i1.u85.State_1_9==0)||(i1.i2.u102.State_0_0==0)))&&((i3.i13.u45.State_14_4==0)||(i3.i11.u88.State_13_0==0)))&&((i1.i1.u85.State_0_9==0)||(i1.i8.u95.State_1_8==0)))&&((i3.i2.u25.State_14_11==0)||(i3.i14.u107.State_15_15==0)))&&((i1.i4.u79.State_1_15==0)||(i1.i14.u46.State_2_14==0)))&&((i2.i2.u15.State_6_4==0)||(i0.i3.u91.State_5_7==0)))&&((i0.i8.u82.State_8_0==0)||(i0.i3.u17.State_7_7==0)))&&((i1.i1.u85.State_1_9==0)||(i1.i5.u43.State_2_4==0)))&&((i0.i6.u55.State_6_12==0)||(i1.i14.u103.State_5_14==0)))&&((i0.i2.u80.State_8_15==0)||(i0.i6.u55.State_7_12==0)))&&((i1.i3.u73.State_3_5==0)||(i2.i1.u9.State_4_2==0)))&&((i3.i8.u60.State_12_12==0)||(i3.i2.u78.State_11_11==0)))&&((i0.i3.u28.State_9_7==0)||(i0.i2.u49.State_10_15==0)))&&((i0.i6.u55.State_5_12==0)||(i1.i6.u69.State_6_10==0)))&&((i1.i10.u51.State_4_12==0)||(i1.i1.u68.State_5_9==0)))&&((i3.i15.u97.State_14_14==0)||(i3.i8.u60.State_13_12==0)))&&((i3.i10.u101.State_14_3==0)||(i3.i1.u23.State_13_1==0)))&&((i0.i6.u77.State_8_12==0)||(i0.i7.u98.State_9_9==0)))&&((i0.i7.u62.State_7_9==0)||(i1.i4.u19.State_6_15==0)))&&((i0.i10.u52.State_8_6==0)||(i2.i3.u54.State_7_8==0)))&&((i3.i12.u106.State_10_9==0)||(i3.i2.u78.State_11_11==0)))&&((i0.i3.u28.State_10_7==0)||(i0.i7.u98.State_9_9==0)))&&((i3.i9.u39.State_12_2==0)||(i3.i13.u45.State_13_4==0)))&&((i0.i9.u83.State_9_11==0)||(i2.i0.u75.State_8_3==0)))&&((i1.i4.u37.State_3_15==0)||(i1.i14.u46.State_2_14==0)))&&((i2.i2.u15.State_6_4==0)||(i0.i7.u62.State_7_9==0)))&&((i1.i3.u36.State_5_5==0)||(i2.i2.u15.State_6_4==0)))&&((i0.i3.u28.State_10_7==0)||(i0.i4.u31.State_9_1==0)))&&((i0.i0.u64.State_8_14==0)||(i0.i5.u6.State_9_8==0)))&&((i1.i0.u12.State_1_1==0)||(i1.i7.u57.State_0_6==0)))&&((i1.i3.u35.State_0_5==0)||(i1.i11.u71.State_1_3==0)))&&((i3.i13.u105.State_10_4==0)||(i0.i12.u96.State_11_5==0)))&&((i3.i6.u32.State_10_6==0)||(i0.i9.u83.State_9_11==0)))&&((i3.i5.u33.State_13_7==0)||(i3.i12.u99.State_12_9==0)))&&((i0.i8.u0.State_9_0==0)||(i3.i15.u87.State_10_14==0)))&&((i1.i15.u111.State_2_7==0)||(i1.i2.u102.State_1_0==0)))&&((i1.i15.u111.State_1_7==0)||(i1.i7.u57.State_2_6==0)))&&((i1.i10.u51.State_4_12==0)||(i1.i14.u103.State_3_14==0)))&&((i1.i2.u44.State_6_0==0)||(i0.i3.u17.State_7_7==0)))&&((i2.i2.u15.State_8_4==0)||(i0.i6.u77.State_9_12==0)))&&((i3.i5.u33.State_13_7==0)||(i3.i13.u93.State_12_4==0)))&&((i3.i1.u23.State_14_1==0)||(i3.i3.u26.State_13_8==0)))&&((i0.i4.u40.State_6_1==0)||(i0.i6.u55.State_5_12==0)))&&((i3.i11.u34.State_15_0==0)||(i3.i6.u7.State_14_6==0)))&&((i3.i8.u60.State_13_12==0)||(i3.i11.u34.State_14_0==0)))&&((i1.i6.u47.State_1_10==0)||(i1.i15.u111.State_0_7==0)))&&((i0.i1.u11.State_9_10==0)||(i2.i1.u21.State_8_2==0)))&&((i3.i3.u26.State_12_8==0)||(i0.i12.u96.State_11_5==0))))))
========== file over 1MB has been truncated ======
retrieve it from the run archives if needed
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="TokenRing-PT-015"
export BK_EXAMINATION="CTLFireability"
export BK_TOOL="itstools"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="3600"
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 TokenRing-PT-015, examination is CTLFireability"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r273-smll-162123879600098"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/TokenRing-PT-015.tgz
mv TokenRing-PT-015 execution
cd execution
if [ "CTLFireability" = "ReachabilityDeadlock" ] || [ "CTLFireability" = "UpperBounds" ] || [ "CTLFireability" = "QuasiLiveness" ] || [ "CTLFireability" = "StableMarking" ] || [ "CTLFireability" = "Liveness" ] || [ "CTLFireability" = "OneSafe" ] || [ "CTLFireability" = "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 [ "CTLFireability" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "CTLFireability" != "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 "CTLFireability.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property CTLFireability.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "CTLFireability.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 '
echo "FORMULA_NAME $x"
done
elif [ "CTLFireability" = "ReachabilityDeadlock" ] || [ "CTLFireability" = "QuasiLiveness" ] || [ "CTLFireability" = "StableMarking" ] || [ "CTLFireability" = "Liveness" ] || [ "CTLFireability" = "OneSafe" ] ; then
echo "FORMULA_NAME CTLFireability"
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 ;