Trace number 3500060

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 NameAnswerobjective functionCPU timeWall clock time
pwbo 1.1OPT34 0.483926 0.245648

General information on the benchmark

Namenormalized-PB06/OPT-SMALLINT/mps-v2-20-10/
MIPLIB/miplib/normalized-mps-v2-20-10-bm23.opb
MD5SUM5c5bb330d1cbd0e2ab066594a5d2a4de
Bench CategoryOPT-SMALLINT (optimisation, small integers)
Best result obtained on this benchmarkOPT
Best value of the objective obtained on this benchmark34
Best CPU time to get the best result obtained on this benchmark0.034993
Has Objective FunctionYES
SatisfiableYES
(Un)Satisfiability was provedYES
Best value of the objective function 34
Optimality of the best value was proved YES
Number of variables27
Total number of constraints20
Number of constraints which are clauses0
Number of constraints which are cardinality constraints (but not clauses)0
Number of constraints which are nor clauses,nor cardinality constraints20
Minimum length of a constraint18
Maximum length of a constraint26
Number of terms in the objective function 27
Biggest coefficient in the objective function 9
Number of bits for the biggest coefficient in the objective function 4
Sum of the numbers in the objective function 124
Number of bits of the sum of numbers in the objective function 7
Biggest number in a constraint 65
Number of bits of the biggest number in a constraint 7
Biggest sum of numbers in a constraint 182
Number of bits of the biggest sum of numbers8
Number of products (including duplicates)0
Sum of products size (including duplicates)0
Number of different products0
Sum of products size0

Quality of the solution as a function of time


Download the above graph as a PDF file / as an EPS file

Solver Data 

0.00/0.00	c pwbo 1.1 beta - 20110321
0.00/0.00	c Parsing opb file format. File HOME/instance-3500060-1307989750.opb.
0.00/0.00	c Instance file HOME/instance-3500060-1307989750.opb
0.00/0.00	c File size is 3739 bytes.
0.00/0.00	c Highest Coefficient sum: 182
0.00/0.00	c ============================[ Problem Statistics ]=============================
0.00/0.00	c |                                                                             |
0.00/0.00	c |  Parsing time:          0.00         s                                      |
0.00/0.00	c |  Number Variables:      27                                                  |
0.00/0.00	c |  Number Clauses:        0                                                   |
0.00/0.00	c |  Number Cardinality:    0                                                   |
0.00/0.00	c |  Number PB Constraints: 20                                                  |
0.00/0.00	c init lb 0
0.00/0.00	c init ub 125
0.00/0.00	c lb 3 (thread 0)
0.00/0.00	c lb 4 (thread 0)
0.00/0.00	c lb 5 (thread 0)
0.00/0.00	c lb 6 (thread 0)
0.00/0.00	c lb 7 (thread 0)
0.00/0.00	c lb 8 (thread 0)
0.00/0.00	c lb 9 (thread 0)
0.00/0.00	c lb 10 (thread 0)
0.00/0.00	c lb 11 (thread 0)
0.00/0.00	c lb 12 (thread 0)
0.00/0.00	c lb 13 (thread 0)
0.00/0.01	c ub 57 (thread 1)
0.00/0.02	o 57
0.00/0.02	c ub 56 (thread 1)
0.00/0.03	o 56
0.00/0.03	c ub 39 (thread 1)
0.00/0.04	o 39
0.00/0.04	c lb 14 (thread 0)
0.19/0.17	c ub 35 (thread 1)
0.19/0.17	o 35
0.19/0.17	c ub 34 (thread 1)
0.39/0.24	o 34
0.39/0.24	s OPTIMUM FOUND
0.39/0.24	v -x1 -x2 x3 -x4 x5 -x6 -x7 -x8 x9 -x10 -x11 -x12 -x13 -x14 x15 -x16 x17 -x18 -x19 x20 -x21 x22 -x23 -x24 -x25 -x26 x27
0.39/0.24	c Memory used           : 132.70 MB
0.39/0.24	c CPU time              : 0.472928 s

Verifier Data 

OK	34

Watcher Data 

runsolver Copyright (C) 2010-2011 Olivier ROUSSEL

This is runsolver version 3.3.1 (svn: 989)

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

command line: BIN/runsolver --timestamp -w /var/tmp/evaluation-result-3500060-1307989750/watcher-3500060-1307989750 -o /var/tmp/evaluation-result-3500060-1307989750/solver-3500060-1307989750 -C 1800 -W 1900 -M 15500 pwbo1.1 -file-format=opb HOME/instance-3500060-1307989750.opb 

running on 4 cores: 0,2,4,6

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): 1900 seconds
Enforcing VSIZE limit (soft limit, will send SIGTERM then SIGKILL): 15872000 KiB
Enforcing VSIZE limit (hard limit, stack expansion will fail with SIGSEGV, brk() and mmap() will return ENOMEM): 15923200 KiB
Current StackSize limit: 10240 KiB


[startup+0 s]
/proc/loadavg: 3.47 2.47 2.12 4/179 16088
/proc/meminfo: memFree=30072260/32950928 swapFree=67048888/67111528
[pid=16088] ppid=16086 vsize=134760 CPUtime=0 cores=0,2,4,6
/proc/16088/stat : 16088 (pwbo1.1) S 16086 16088 15608 0 -1 4202496 402 0 0 0 0 0 0 0 25 0 3 0 910573775 137994240 353 33554432000 4194304 5714118 140733404622480 18446744073709551615 4419421 0 0 4096 16387 18446744073709551615 0 0 17 0 0 0 0
/proc/16088/statm: 33690 353 179 372 0 33315 0
[pid=16088/tid=16089] ppid=16086 vsize=134760 CPUtime=0 cores=0,2,4,6
/proc/16088/task/16089/stat : 16089 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 64 0 0 0 0 0 0 0 25 0 3 0 910573775 137994240 354 33554432000 4194304 5714118 140733404622480 18446744073709551615 5070743 0 0 4096 16387 0 0 0 -1 0 0 0 0
[pid=16088/tid=16090] ppid=16086 vsize=134760 CPUtime=0 cores=0,2,4,6
/proc/16088/task/16090/stat : 16090 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 16 0 0 0 0 0 0 0 25 0 3 0 910573775 137994240 354 33554432000 4194304 5714118 140733404622480 18446744073709551615 5070743 0 0 4096 16387 0 0 0 -1 2 0 0 0

[startup+0.043672 s]
/proc/loadavg: 3.47 2.47 2.12 4/179 16088
/proc/meminfo: memFree=30072260/32950928 swapFree=67048888/67111528
[pid=16088] ppid=16086 vsize=135884 CPUtime=0.08 cores=0,2,4,6
/proc/16088/stat : 16088 (pwbo1.1) S 16086 16088 15608 0 -1 4202496 1132 0 0 0 8 0 0 0 25 0 3 0 910573775 139145216 1083 33554432000 4194304 5714118 140733404622480 18446744073709551615 4419421 0 0 4096 16387 18446744073709551615 0 0 17 0 0 0 0
/proc/16088/statm: 33971 1083 179 372 0 33596 0
[pid=16088/tid=16089] ppid=16086 vsize=135884 CPUtime=0.04 cores=0,2,4,6
/proc/16088/task/16089/stat : 16089 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 197 0 0 0 4 0 0 0 25 0 3 0 910573775 139145216 1083 33554432000 4194304 5714118 140733404622480 18446744073709551615 5070743 0 0 4096 16387 0 0 0 -1 0 0 0 0
[pid=16088/tid=16090] ppid=16086 vsize=135884 CPUtime=0.04 cores=0,2,4,6
/proc/16088/task/16090/stat : 16090 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 612 0 0 0 4 0 0 0 25 0 3 0 910573775 139145216 1083 33554432000 4194304 5714118 140733404622480 18446744073709551615 5070743 0 0 4096 16387 0 0 0 -1 2 0 0 0
Current children cumulated CPU time (s) 0.08
Current children cumulated vsize (KiB) 135884

[startup+0.100711 s]
/proc/loadavg: 3.47 2.47 2.12 4/179 16088
/proc/meminfo: memFree=30072260/32950928 swapFree=67048888/67111528
[pid=16088] ppid=16086 vsize=135884 CPUtime=0.19 cores=0,2,4,6
/proc/16088/stat : 16088 (pwbo1.1) S 16086 16088 15608 0 -1 4202496 1169 0 0 0 19 0 0 0 25 0 3 0 910573775 139145216 1120 33554432000 4194304 5714118 140733404622480 18446744073709551615 4419421 0 0 4096 16387 18446744073709551615 0 0 17 0 0 0 0
/proc/16088/statm: 33971 1120 179 372 0 33596 0
[pid=16088/tid=16089] ppid=16086 vsize=135884 CPUtime=0.09 cores=0,2,4,6
/proc/16088/task/16089/stat : 16089 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 221 0 0 0 9 0 0 0 25 0 3 0 910573775 139145216 1120 33554432000 4194304 5714118 140733404622480 18446744073709551615 4200720 0 0 4096 16387 0 0 0 -1 0 0 0 0
[pid=16088/tid=16090] ppid=16086 vsize=135884 CPUtime=0.09 cores=0,2,4,6
/proc/16088/task/16090/stat : 16090 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 625 0 0 0 9 0 0 0 25 0 3 0 910573775 139145216 1120 33554432000 4194304 5714118 140733404622480 18446744073709551615 5070743 0 0 4096 16387 0 0 0 -1 2 0 0 0
Current children cumulated CPU time (s) 0.19
Current children cumulated vsize (KiB) 135884

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

[startup+0.200754 s]
/proc/loadavg: 3.47 2.47 2.12 4/179 16088
/proc/meminfo: memFree=30072260/32950928 swapFree=67048888/67111528
[pid=16088] ppid=16086 vsize=135884 CPUtime=0.39 cores=0,2,4,6
/proc/16088/stat : 16088 (pwbo1.1) S 16086 16088 15608 0 -1 4202496 1377 0 0 0 38 1 0 0 25 0 3 0 910573775 139145216 1328 33554432000 4194304 5714118 140733404622480 18446744073709551615 4419421 0 0 4096 16387 18446744073709551615 0 0 17 0 0 0 0
/proc/16088/statm: 33971 1328 179 372 0 33596 0
[pid=16088/tid=16089] ppid=16086 vsize=135884 CPUtime=0.19 cores=0,2,4,6
/proc/16088/task/16089/stat : 16089 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 407 0 0 0 19 0 0 0 25 0 3 0 910573775 139145216 1328 33554432000 4194304 5714118 140733404622480 18446744073709551615 5070743 0 0 4096 16387 0 0 0 -1 0 0 0 0
[pid=16088/tid=16090] ppid=16086 vsize=135884 CPUtime=0.19 cores=0,2,4,6
/proc/16088/task/16090/stat : 16090 (pwbo1.1) R 16086 16088 15608 0 -1 4202560 647 0 0 0 19 0 0 0 25 0 3 0 910573775 139145216 1328 33554432000 4194304 5714118 140733404622480 18446744073709551615 5070743 0 0 4096 16387 0 0 0 -1 2 0 0 0
Current children cumulated CPU time (s) 0.39
Current children cumulated vsize (KiB) 135884

Child status: 0
Real time (s): 0.245648
CPU time (s): 0.483926
CPU user time (s): 0.472928
CPU system time (s): 0.010998
CPU usage (%): 197
Max. virtual memory (cumulated for all children) (KiB): 135884

getrusage(RUSAGE_CHILDREN,...) data:
user time used= 0.472928
system time used= 0.010998
maximum resident set size= 0
integral shared memory size= 0
integral unshared data size= 0
integral unshared stack size= 0
page reclaims= 1470
page faults= 0
swaps= 0
block input operations= 0
block output operations= 0
messages sent= 0
messages received= 0
signals received= 0
voluntary context switches= 14
involuntary context switches= 3

runsolver used 0.000999 second user time and 0.005999 second system time

The end

Launcher Data 

Begin job on node122 at 2011-06-13 20:29:10
IDJOB=3500060
IDBENCH=1860
IDSOLVER=1954
FILE ID=node122/3500060-1307989750
RUNJOBID= node122-1307989672-15976
PBS_JOBID= 13559733
Free space on /var/tmp= 2888 MiB

SOLVER NAME= pwbo 1.1
BENCH NAME= PB06//final/normalized-PB06/OPT-SMALLINT/mps-v2-20-10/MIPLIB/miplib/normalized-mps-v2-20-10-bm23.opb
COMMAND LINE= pwbo1.1 -file-format=opb BENCHNAME
RUNSOLVER COMMAND LINE= BIN/runsolver --timestamp -w /var/tmp/evaluation-result-3500060-1307989750/watcher-3500060-1307989750 -o /var/tmp/evaluation-result-3500060-1307989750/solver-3500060-1307989750 -C 1800 -W 1900 -M 15500  pwbo1.1 -file-format=opb HOME/instance-3500060-1307989750.opb

TIME LIMIT= 1800 seconds
MEMORY LIMIT= 15500 MiB
NBCORE= 4

MD5SUM BENCH= 5c5bb330d1cbd0e2ab066594a5d2a4de
RANDOM SEED=1377841735

node122.alineos.net Linux 2.6.18-164.el5 #1 SMP Thu Sep 3 03:28:30 EDT 2009

/proc/cpuinfo:
processor	: 0
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 0
cpu cores	: 4
apicid		: 0
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5333.64
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 1
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 0
cpu cores	: 4
apicid		: 16
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.75
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 2
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 1
cpu cores	: 4
apicid		: 2
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.75
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 3
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 1
cpu cores	: 4
apicid		: 18
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.83
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 4
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 2
cpu cores	: 4
apicid		: 4
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.75
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 5
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 2
cpu cores	: 4
apicid		: 20
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.75
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 6
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 3
cpu cores	: 4
apicid		: 6
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.75
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 7
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.820
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 3
cpu cores	: 4
apicid		: 22
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
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 rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.97
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]


/proc/meminfo:
MemTotal:     32950928 kB
MemFree:      30072688 kB
Buffers:         50896 kB
Cached:        2538564 kB
SwapCached:      15152 kB
Active:         249284 kB
Inactive:      2429452 kB
HighTotal:           0 kB
HighFree:            0 kB
LowTotal:     32950928 kB
LowFree:      30072688 kB
SwapTotal:    67111528 kB
SwapFree:     67048888 kB
Dirty:            4312 kB
Writeback:           0 kB
AnonPages:       87052 kB
Mapped:           9880 kB
Slab:           135392 kB
PageTables:       4588 kB
NFS_Unstable:        0 kB
Bounce:              0 kB
CommitLimit:  83586992 kB
Committed_AS:   280552 kB
VmallocTotal: 34359738367 kB
VmallocUsed:    296008 kB
VmallocChunk: 34359440975 kB
HugePages_Total:     0
HugePages_Free:      0
HugePages_Rsvd:      0
Hugepagesize:     2048 kB

Free space on /var/tmp at the end= 2884 MiB
End job on node122 at 2011-06-13 20:29:10