Trace number 2098227

Some explanations

A solver is run under the control of another program named runsolver. runsolver is in charge of imposing the CPU time limit and the memory limit to the solver. It also monitors some information about the process. The trace of the execution of a solver is divided into four (or five) parts:
  1. SOLVER DATA
    This is the output of the solver (stdout and stderr).
    Note that some very long lines in this section may be truncated by your web browser ! In such a case, you may want to use the "Download as text" link to get the trace as a text file.

    When the --timestamp option is passed to the runsolver program, each line output by the solver is prepended with a timestamp which indicates at what time the line was output by the solver. Times are relative to the start of the program, given in seconds. The first timestamp (if present) is estimated CPU time. The last timestamp is wall clock time.

    As some 'v lines' may be very long (sometimes several megabytes), the 'v line' output by your solver may be split on several lines to help limit the size of the trace recorded in the database. In any case, the exact output of your solver is preserved in a trace file.
  2. VERIFIER DATA
    The output of the solver is piped to a verifier program which will search a value line "v " and, if found, will check that the given interpretation satisfies all constraints.
  3. CONVERSION SCRIPT DATA (Optionnal)
    When a conversion script is used, this section shows the messages that were output by the conversion script.
  4. WATCHER DATA
    This is the informations gathered by the runsolver program. It first prints the different limits. There's a first limit on CPU time set to X seconds (see the parameters in the trace). After this time has ellapsed, runsolver sends a SIGTERM and 2 seconds later a SIGKILL to the solver. For safety, there's also another limit set to X+30 seconds which will send a SIGXPU to the solver. The last limit is on the virtual memory used by the process (see the parameters in the trace).
    Every ten seconds, the runsolver process fetches the content of /proc/loadavg, /proc/pid/stat and /proc/pid/statm (see man proc) and prints it as raw data. This is only recorded in case we need to investigate the behaviour of a solver. The memory used by the solver (vsize) is also given every ten seconds.
    When the solver exits, runsolver prints some informations such as status and time. CPU usage is the ratio CPU Time/Real Time.
  5. LAUNCHER DATA
    These informations are related to the script which will launch the solver. The most important informations are the command line given to the solver, the md5sum of the different files and the dump of the /proc/cpuinfo and /proc/meminfo which provides some useful information on the computer.

Solver answer on this benchmark

Solver NameAnswerCPU timeWall clock time
Abscon 112v4 ACSAT 1.21781 1.26492

DiagnosticValue
CHECKS6043
NODES154

General information on the benchmark

Namecsp/graphColoring/insertion/full-insertion/
normalized-5-fullins-3-8.xml
MD5SUM5e1e420ef1a741386fe8b52aac6448c6
Bench Category2-ARY-INT (binary constraints in intension)
Best result obtained on this benchmarkSAT
Best CPU time to get the best result obtained on this benchmark0.035993
Satisfiable
(Un)Satisfiability was proved
Number of variables154
Number of constraints792
Maximum constraint arity2
Maximum domain size8
Number of constraints which are defined in extension0
Number of constraints which are defined in intension792
Global constraints used (with number of constraints)

Solver Data 

0.04/0.09	
0.04/0.09	Abscon 112 (May, 2008)
0.18/0.26	
0.18/0.26	   configuration
0.18/0.26	     name=mac.xml
0.18/0.29	   
0.18/0.29	   instance
0.18/0.29	     name=HOME/instance-2098227-1247414270.xml
0.28/0.33	   
0.28/0.34	   domains being loaded...
0.28/0.34	   
0.28/0.34	   variables being loaded...
0.28/0.40	     nbVariables=154  nbDomainTypes=1  minDomainSize=8  maxDomainSize=8  nbTotalValues=1232
0.38/0.40	       =>  wckTime=0.137  cpuTime=0.11  mem=7M892
0.38/0.40	   
0.38/0.40	   predicates being loaded...
0.38/0.46	   
0.38/0.46	   constraints being loaded...
0.87/0.93	     nbConstraints=797  nbGlobalConstraints=5  nbConvertedConstraints=792  nbConvertConstraintsChecks=128
0.87/0.93	     nbExtensionStructures=2  nbSharedExtensionStructures=790  nbConflictsStructures=4  nbSharedConflictsStructures=790
0.87/0.93	     nbSharedBinaryRepresentations=8  minDegree=5  maxDegree=29  minArity=2  avgArity=2.15  maxArity=98  nbGenerators=3
0.87/0.93	     nbFusions=3  symmetryWckTime=0.108  symmetryCpuTime=0.06  nbCliques=2
0.87/0.93	       =>  wckTime=0.666  cpuTime=0.47  mem=18M752
0.87/0.99	   
0.87/0.99	   solver IterativeSystematicSolver being built... 
0.97/1.06	   
0.97/1.06	   INFO : Forward propagation technique limited 
1.07/1.14	       =>  wckTime=0.876  cpuTime=0.59  mem=21M267
1.07/1.15	   
1.07/1.15	   preprocessing
1.07/1.15	     nbConstraintChecks=48  nbPropagations=157  nbRevisions=6  nbUselessRevisions=0  nbRemovedValues=6
1.07/1.15	     nbRemovedTuples=28  detectedInconsistency=no
1.07/1.15	       =>  wckTime=0.016  cpuTime=0.0  mem=21M267
1.16/1.22	   
1.16/1.22	   search
1.16/1.22	     run=0  nbConstraintChecks=5995  minDepth=155  maxDepth=154  nbPropagations=654  nbRevisions=811
1.16/1.22	     nbUselessRevisions=462  nbAssignments=154  nbFailedAssignments=0  nbBacktracks=0  nbVisitedNodes=155
1.16/1.22	     nbRestartNogoods=0  nbFoundSolutions=1  mapSize=0  nbInferences=0  nbTooLargeKeys=0  nbSEliminables=0
1.16/1.22	     nbREliminables=3.78  nbIEliminables=74.12  nbDEliminables=0  nbPEliminables=0
1.16/1.22	       =>  wckTime=0.082  cpuTime=0.04  mem=22M308
1.16/1.22	   
1.16/1.22	   global
1.16/1.22	     nbConstraintChecks=6043  nbPropagations=811  nbRevisions=817  nbUselessRevisions=462  nbRestartNogoods=0
1.16/1.22	     solvingWckTime=0.084  solvingCpuTime=0.05  expiredTime=no  totalExploration=no  nbFoundSolutions=1
1.16/1.22	     firstSolutionCpuTime=0.63  globalCpuTime=0.67
1.16/1.22	       =>  wckTime=0.962  cpuTime=0.64  mem=22M308
1.16/1.22	   
1.16/1.22	s SATISFIABLE
1.16/1.22	v 1 7 3 3 4 4 1 1 3 3 1 1 3 3 0 1 3 4 5 6 7 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 3 4 5 7 
1.16/1.22	d NODES 154
1.16/1.22	d CHECKS 6043
1.16/1.22	   
1.16/1.22	   totalWckTime=1.033  totalCpuTime=0.67

Verifier Data 

OK

Watcher Data 

runsolver version 3.2.9 (svn:492) (c) roussel@cril.univ-artois.fr

command line: BIN/runsolver --timestamp -w /tmp/evaluation-result-2098227-1247414270/watcher-2098227-1247414270 -o /tmp/evaluation-result-2098227-1247414270/solver-2098227-1247414270 -C 1800 -W 2000 -M 900 java -Xms756M -Xmx756M -XX:PermSize=10m -XX:MaxPermSize=10m -cp abscon112V4.jar abscon.Resolution mac.xml 1 XSax HOME/instance-2098227-1247414270.xml 

Enforcing CPUTime limit (soft limit, will send SIGTERM then SIGKILL): 1800 seconds
Enforcing CPUTime limit (hard limit, will send SIGXCPU): 1830 seconds
Enforcing wall clock limit (soft limit, will send SIGTERM then SIGKILL): 2000 seconds
Enforcing VSIZE limit (soft limit, will send SIGTERM then SIGKILL): 921600 KiB
Enforcing VSIZE limit (hard limit, stack expansion will fail with SIGSEGV, brk() and mmap() will return ENOMEM): 972800 KiB
Current StackSize limit: 10240 KiB


[startup+0 s]
/proc/loadavg: 2.00 2.00 2.00 4/80 1539
/proc/meminfo: memFree=1628136/2055920 swapFree=4192812/4192956
[pid=1539] ppid=1537 vsize=18576 CPUtime=0
/proc/1539/stat : 1539 (runsolver) R 1537 1539 31276 0 -1 4194368 16 0 0 0 0 0 0 0 18 0 1 0 28493902 19021824 284 996147200 4194304 4302564 548682068384 18446744073709551615 212234464551 0 2147483391 4096 24578 0 0 0 17 1 0 0
/proc/1539/statm: 4644 284 249 26 0 2626 0

[startup+0.0556839 s]
/proc/loadavg: 2.00 2.00 2.00 4/80 1539
/proc/meminfo: memFree=1628136/2055920 swapFree=4192812/4192956
[pid=1539] ppid=1537 vsize=863776 CPUtime=0.04
/proc/1539/stat : 1539 (java) S 1537 1539 31276 0 -1 0 2584 0 1 0 3 1 0 0 18 0 9 0 28493902 884506624 2149 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 18446744073709551615 0 0 17 1 0 0
/proc/1539/statm: 215944 2149 1023 9 0 210859 0
Current children cumulated CPU time (s) 0.04
Current children cumulated vsize (KiB) 863776

[startup+0.10169 s]
/proc/loadavg: 2.00 2.00 2.00 4/80 1539
/proc/meminfo: memFree=1628136/2055920 swapFree=4192812/4192956
[pid=1539] ppid=1537 vsize=865984 CPUtime=0.09
/proc/1539/stat : 1539 (java) S 1537 1539 31276 0 -1 0 3735 0 1 0 8 1 0 0 18 0 9 0 28493902 886767616 3203 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 18446744073709551615 0 0 17 1 0 0
/proc/1539/statm: 216496 3203 1700 9 0 210981 0
Current children cumulated CPU time (s) 0.09
Current children cumulated vsize (KiB) 865984

[startup+0.301723 s]
/proc/loadavg: 2.00 2.00 2.00 4/80 1539
/proc/meminfo: memFree=1628136/2055920 swapFree=4192812/4192956
[pid=1539] ppid=1537 vsize=866380 CPUtime=0.28
/proc/1539/stat : 1539 (java) S 1537 1539 31276 0 -1 0 5873 0 1 0 25 3 0 0 18 0 9 0 28493902 887173120 5239 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 18446744073709551615 0 0 17 1 0 0
/proc/1539/statm: 216595 5239 1981 9 0 211053 0
Current children cumulated CPU time (s) 0.28
Current children cumulated vsize (KiB) 866380

[startup+0.701794 s]
/proc/loadavg: 2.00 2.00 2.00 4/80 1539
/proc/meminfo: memFree=1628136/2055920 swapFree=4192812/4192956
[pid=1539] ppid=1537 vsize=867736 CPUtime=0.68
/proc/1539/stat : 1539 (java) S 1537 1539 31276 0 -1 0 8523 0 1 0 62 6 0 0 18 0 9 0 28493902 888561664 7875 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 18446744073709551615 0 0 17 1 0 0
/proc/1539/statm: 216934 7875 2039 9 0 211370 0
Current children cumulated CPU time (s) 0.68
Current children cumulated vsize (KiB) 867736

Solver just ended. Dumping a history of the last processes samples

[startup+1.10686 s]
/proc/loadavg: 2.00 2.00 2.00 3/89 1552
/proc/meminfo: memFree=1598496/2055920 swapFree=4192812/4192956
[pid=1539] ppid=1537 vsize=868512 CPUtime=1.07
/proc/1539/stat : 1539 (java) S 1537 1539 31276 0 -1 0 15898 331 1 0 95 11 1 0 18 0 9 0 28493902 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 18446744073709551615 0 0 17 1 0 0
/proc/1539/statm: 217128 10042 2655 9 0 211564 0
[pid=1539/tid=1541] ppid=1537 vsize=868512 CPUtime=0.75
/proc/1539/task/1541/stat : 1541 (java) R 1537 1539 31276 0 -1 64 11370 331 1 0 66 8 1 0 25 0 9 0 28493904 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1542] ppid=1537 vsize=868512 CPUtime=0.05
/proc/1539/task/1542/stat : 1542 (java) S 1537 1539 31276 0 -1 64 2789 331 0 0 4 0 1 0 17 0 9 0 28493905 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1543] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1543/stat : 1543 (java) S 1537 1539 31276 0 -1 64 18 331 0 0 0 0 1 0 16 0 9 0 28493905 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1544] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1544/stat : 1544 (java) S 1537 1539 31276 0 -1 64 10 331 0 0 0 0 1 0 16 0 9 0 28493905 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1545] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1545/stat : 1545 (java) S 1537 1539 31276 0 -1 64 1 331 0 0 0 0 1 0 18 0 9 0 28493907 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1546] ppid=1537 vsize=868512 CPUtime=0.25
/proc/1539/task/1546/stat : 1546 (java) R 1537 1539 31276 0 -1 64 892 331 0 0 24 0 1 0 16 0 9 0 28493907 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 7368470 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1547] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1547/stat : 1547 (java) S 1537 1539 31276 0 -1 64 1 331 0 0 0 0 1 0 19 0 9 0 28493907 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1548] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1548/stat : 1548 (java) S 1537 1539 31276 0 -1 64 6 331 0 0 0 0 1 0 15 0 9 0 28493908 889356288 10042 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
Current children cumulated CPU time (s) 1.07
Current children cumulated vsize (KiB) 868512

[startup+1.20188 s]
/proc/loadavg: 2.00 2.00 2.00 3/89 1552
/proc/meminfo: memFree=1598496/2055920 swapFree=4192812/4192956
[pid=1539] ppid=1537 vsize=868512 CPUtime=1.16
/proc/1539/stat : 1539 (java) S 1537 1539 31276 0 -1 0 17187 331 1 0 104 11 1 0 18 0 9 0 28493902 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 18446744073709551615 0 0 17 1 0 0
/proc/1539/statm: 217128 10972 2657 9 0 211564 0
[pid=1539/tid=1541] ppid=1537 vsize=868512 CPUtime=0.82
/proc/1539/task/1541/stat : 1541 (java) R 1537 1539 31276 0 -1 64 12643 331 1 0 72 9 1 0 25 0 9 0 28493904 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1542] ppid=1537 vsize=868512 CPUtime=0.05
/proc/1539/task/1542/stat : 1542 (java) S 1537 1539 31276 0 -1 64 2789 331 0 0 4 0 1 0 17 0 9 0 28493905 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 0 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1543] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1543/stat : 1543 (java) S 1537 1539 31276 0 -1 64 18 331 0 0 0 0 1 0 16 0 9 0 28493905 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1544] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1544/stat : 1544 (java) S 1537 1539 31276 0 -1 64 10 331 0 0 0 0 1 0 16 0 9 0 28493905 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1545] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1545/stat : 1545 (java) S 1537 1539 31276 0 -1 64 1 331 0 0 0 0 1 0 18 0 9 0 28493907 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1546] ppid=1537 vsize=868512 CPUtime=0.27
/proc/1539/task/1546/stat : 1546 (java) R 1537 1539 31276 0 -1 64 908 331 0 0 26 0 1 0 16 0 9 0 28493907 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 102043467 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1547] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1547/stat : 1547 (java) S 1537 1539 31276 0 -1 64 1 331 0 0 0 0 1 0 19 0 9 0 28493907 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
[pid=1539/tid=1548] ppid=1537 vsize=868512 CPUtime=0.01
/proc/1539/task/1548/stat : 1548 (java) S 1537 1539 31276 0 -1 64 6 331 0 0 0 0 1 0 15 0 9 0 28493908 889356288 10972 996147200 134512640 134550932 4294955968 18446744073709551615 4294960144 0 4 0 16800975 0 0 0 -1 1 0 0
Current children cumulated CPU time (s) 1.16
Current children cumulated vsize (KiB) 868512

Child status: 0
Real time (s): 1.26492
CPU time (s): 1.21781
CPU user time (s): 1.08583
CPU system time (s): 0.131979
CPU usage (%): 96.2759
Max. virtual memory (cumulated for all children) (KiB): 868512

getrusage(RUSAGE_CHILDREN,...) data:
user time used= 1.08583
system time used= 0.131979
maximum resident set size= 0
integral shared memory size= 0
integral unshared data size= 0
integral unshared stack size= 0
page reclaims= 17664
page faults= 1
swaps= 0
block input operations= 0
block output operations= 0
messages sent= 0
messages received= 0
signals received= 0
voluntary context switches= 1278
involuntary context switches= 1363

runsolver used 0.001999 second user time and 0.013997 second system time

The end

Launcher Data 

Begin job on node14 at 2009-07-12 17:57:50
IDJOB=2098227
IDBENCH=58478
IDSOLVER=773
FILE ID=node14/2098227-1247414270
PBS_JOBID= 9510616
Free space on /tmp= 66516 MiB

SOLVER NAME= Abscon 112v4 AC
BENCH NAME= CPAI08/csp/graphColoring/insertion/full-insertion/normalized-5-fullins-3-8.xml
COMMAND LINE= java -Xms756M -Xmx756M -XX:PermSize=10m -XX:MaxPermSize=10m -cp abscon112V4.jar abscon.Resolution mac.xml 1 XSax BENCHNAME
RUNSOLVER COMMAND LINE= BIN/runsolver --timestamp -w /tmp/evaluation-result-2098227-1247414270/watcher-2098227-1247414270 -o /tmp/evaluation-result-2098227-1247414270/solver-2098227-1247414270 -C 1800 -W 2000 -M 900  java -Xms756M -Xmx756M -XX:PermSize=10m -XX:MaxPermSize=10m -cp abscon112V4.jar abscon.Resolution mac.xml 1 XSax HOME/instance-2098227-1247414270.xml

TIME LIMIT= 1800 seconds
MEMORY LIMIT= 900 MiB
MAX NB THREAD= 0

MD5SUM BENCH= 5e1e420ef1a741386fe8b52aac6448c6
RANDOM SEED=307657013

node14.alineos.net Linux 2.6.9-22.EL.rootsmp #1 SMP Mon Oct 3 08:59:52 CEST 2005

/proc/cpuinfo:
processor	: 0
vendor_id	: GenuineIntel
cpu family	: 15
model		: 4
model name	:                   Intel(R) Xeon(TM) CPU 3.00GHz
stepping	: 3
cpu MHz		: 3000.265
cache size	: 2048 KB
fpu		: yes
fpu_exception	: yes
cpuid level	: 5
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx lm pni monitor ds_cpl cid cx16 xtpr
bogomips	: 5914.62
clflush size	: 64
cache_alignment	: 128
address sizes	: 36 bits physical, 48 bits virtual
power management:

processor	: 1
vendor_id	: GenuineIntel
cpu family	: 15
model		: 4
model name	:                   Intel(R) Xeon(TM) CPU 3.00GHz
stepping	: 3
cpu MHz		: 3000.265
cache size	: 2048 KB
fpu		: yes
fpu_exception	: yes
cpuid level	: 5
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx lm pni monitor ds_cpl cid cx16 xtpr
bogomips	: 5586.94
clflush size	: 64
cache_alignment	: 128
address sizes	: 36 bits physical, 48 bits virtual
power management:


/proc/meminfo:
MemTotal:      2055920 kB
MemFree:       1628552 kB
Buffers:         55204 kB
Cached:         144716 kB
SwapCached:          0 kB
Active:         269040 kB
Inactive:        98688 kB
HighTotal:           0 kB
HighFree:            0 kB
LowTotal:      2055920 kB
LowFree:       1628552 kB
SwapTotal:     4192956 kB
SwapFree:      4192812 kB
Dirty:            2232 kB
Writeback:           0 kB
Mapped:         188248 kB
Slab:            44596 kB
Committed_AS:  1014656 kB
PageTables:       2156 kB
VmallocTotal: 536870911 kB
VmallocUsed:    264952 kB
VmallocChunk: 536605679 kB
HugePages_Total:     0
HugePages_Free:      0
Hugepagesize:     2048 kB

Free space on /tmp at the end= 66516 MiB
End job on node14 at 2009-07-12 17:57:51