Trace number 2690437

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
wbo 1.4bWrong UNSAT 6.49901 6.50011

General information on the benchmark

Name/PARTIAL-SMALLINT-LIN/PB06/submitted-PB06/namasivayam/wnqueen/
normalized-t2001.13queen13.1111217555--soft-33-100-0.wbo
MD5SUM077b9c494cf23f6ff18d9e6ba287604c
Bench CategoryPARTIAL-SMALLINT-LIN (both soft and hard constraints, small integers, linear constraints)
Best result obtained on this benchmarkMOPT
Best cost obtained on this benchmark8
Best CPU time to get the best result obtained on this benchmark0.202968
Max-Satisfiable
Max-(Un)Satisfiability was proved
Best value of the cost
Optimality of the best cost was proved
Number of variables169
Total number of constraints101
Number of soft constraints69
Number of constraints which are clauses30
Number of constraints which are cardinality constraints (but not clauses)70
Number of constraints which are nor clauses,nor cardinality constraints1
Minimum length of a constraint2
Maximum length of a constraint169
Top cost 3204
Min constraint cost 1
Max constraint cost 97
Sum of constraints costs 3203
Biggest number in a constraint 38
Number of bits of the biggest number in a constraint 6
Biggest sum of numbers in a constraint 1222
Number of bits of the biggest sum of numbers11
Number of products (including duplicates)0
Sum of products size (including duplicates)0
Number of different products0
Sum of products size0

Solver Data 

0.00/0.00	c wbo 1.4 beta - 20100610
0.00/0.00	c Parsing wbo file format. File HOME/instance-2690437-1277895278.wbo.
0.00/0.00	c Instance file HOME/instance-2690437-1277895278.wbo
0.00/0.00	c File size is 10305 bytes.
0.00/0.00	c Highest Coefficient sum: 1222
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:      169                                                 |
0.00/0.00	c |  Number Clauses:        30                                                  |
0.00/0.00	c |  Number Cardinality:    70                                                  |
0.00/0.00	c |  Number PB Constraints: 1                                                   |
0.00/0.00	c ============================[ Search Statistics ]==============================
0.00/0.00	c | Conflicts |          ORIGINAL         |          LEARNT          | Progress |
0.00/0.00	c |           |    Vars     Ctrs     Lits |    Limit  Clauses Lit/Cl |          |
0.00/0.00	c ===============================================================================
0.00/0.00	c |         0 |     169      101     1205 |     5000        0    nan |  0.000 % |
0.00/0.00	c |       100 |     169      101     1205 |     5500      100     35 |  0.004 % |
0.00/0.00	c |       250 |     169      101     1205 |     6050      250     29 |  0.004 % |
0.00/0.01	c |       475 |     169      101     1205 |     6655      475     29 |  0.004 % |
0.00/0.02	c |       813 |     169      101     1205 |     7320      813     32 |  0.004 % |
0.00/0.03	c |      1320 |     169      101     1205 |     8052     1320     35 |  0.004 % |
0.00/0.05	c |      2080 |     169      101     1205 |     8857     2080     36 |  0.004 % |
0.06/0.09	c |      3220 |     169      101     1205 |     9743     3220     39 |  0.004 % |
0.09/0.17	c |      4929 |     169      101     1205 |    10717     4929     39 |  0.004 % |
0.19/0.29	c |      7491 |     169      101     1205 |    11789     7491     40 |  0.004 % |
0.49/0.50	c |     11336 |     169      101     1205 |    12968    11336     40 |  0.004 % |
0.79/0.83	c |     17103 |     169      101     1205 |    14265    10564     43 |  0.004 % |
1.39/1.46	c |     25759 |     169      101     1205 |    15692    12035     46 |  0.004 % |
2.39/2.48	c |     38734 |     169      101     1205 |    17261     9207     49 |  0.004 % |
4.19/4.20	c |     58195 |     169      101     1205 |    18987    11295     51 |  0.004 % |
6.39/6.49	s UNSATISFIABLE
6.39/6.49	c Total CPU time: 6.31404 s
6.39/6.49	c ===============================================================================
6.39/6.49	c 
6.39/6.49	s UNSATISFIABLE

Verifier Data 

ERROR: no interpretation found !

Watcher Data 

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

command line: BIN/runsolver --timestamp -w /tmp/evaluation-result-2690437-1277895278/watcher-2690437-1277895278 -o /tmp/evaluation-result-2690437-1277895278/solver-2690437-1277895278 -C 1800 -W 2000 -M 3800 wbo1.4b -file-format=wbo -time-limit=1800 HOME/instance-2690437-1277895278.wbo 

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): 3891200 KiB
Enforcing VSIZE limit (hard limit, stack expansion will fail with SIGSEGV, brk() and mmap() will return ENOMEM): 3942400 KiB
Current StackSize limit: 10240 KiB


[startup+0 s]
/proc/loadavg: 2.12 2.00 2.00 3/178 22594
/proc/meminfo: memFree=30061424/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=2576 CPUtime=0
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 289 0 0 0 0 0 0 0 22 0 1 0 165131573 2637824 204 4089446400 134512640 135752675 4289145200 18446744073709551615 135271249 0 0 4096 3 0 0 0 17 2 0 0 0
/proc/22594/statm: 644 204 144 303 0 339 0

[startup+0.0707361 s]
/proc/loadavg: 2.12 2.00 2.00 3/178 22594
/proc/meminfo: memFree=30061424/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=3236 CPUtime=0.06
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 469 0 0 0 6 0 0 0 22 0 1 0 165131573 3313664 384 4089446400 134512640 135752675 4289145200 18446744073709551615 134611784 0 0 4096 3 0 0 0 17 5 0 0 0
/proc/22594/statm: 809 384 144 303 0 504 0
Current children cumulated CPU time (s) 0.06
Current children cumulated vsize (KiB) 3236

[startup+0.100768 s]
/proc/loadavg: 2.12 2.00 2.00 3/178 22594
/proc/meminfo: memFree=30061424/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=3500 CPUtime=0.09
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 539 0 0 0 9 0 0 0 22 0 1 0 165131573 3584000 454 4089446400 134512640 135752675 4289145200 18446744073709551615 135271249 0 0 4096 3 0 0 0 17 7 0 0 0
/proc/22594/statm: 875 454 144 303 0 570 0
Current children cumulated CPU time (s) 0.09
Current children cumulated vsize (KiB) 3500

[startup+0.300732 s]
/proc/loadavg: 2.12 2.00 2.00 3/178 22594
/proc/meminfo: memFree=30061424/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=4952 CPUtime=0.29
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 896 0 0 0 28 1 0 0 22 0 1 0 165131573 5070848 811 4089446400 134512640 135752675 4289145200 18446744073709551615 134517414 0 0 4096 3 0 0 0 17 7 0 0 0
/proc/22594/statm: 1238 811 144 303 0 933 0
Current children cumulated CPU time (s) 0.29
Current children cumulated vsize (KiB) 4952

[startup+0.700657 s]
/proc/loadavg: 2.12 2.00 2.00 3/178 22594
/proc/meminfo: memFree=30061424/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=7260 CPUtime=0.68
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 1459 0 0 0 66 2 0 0 24 0 1 0 165131573 7434240 1374 4089446400 134512640 135752675 4289145200 18446744073709551615 135271249 0 0 4096 3 0 0 0 17 7 0 0 0
/proc/22594/statm: 1815 1374 144 303 0 1510 0
Current children cumulated CPU time (s) 0.68
Current children cumulated vsize (KiB) 7260

[startup+1.50051 s]
/proc/loadavg: 2.12 2.00 2.00 3/179 22595
/proc/meminfo: memFree=30053400/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=11220 CPUtime=1.49
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 2456 0 0 0 144 5 0 0 25 0 1 0 165131573 11489280 2371 4089446400 134512640 135752675 4289145200 18446744073709551615 134517408 0 0 4096 3 0 0 0 17 7 0 0 0
/proc/22594/statm: 2805 2371 144 303 0 2500 0
Current children cumulated CPU time (s) 1.49
Current children cumulated vsize (KiB) 11220

[startup+3.10022 s]
/proc/loadavg: 2.12 2.00 2.00 3/179 22595
/proc/meminfo: memFree=30045464/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=18220 CPUtime=3.09
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 4217 0 0 0 300 9 0 0 25 0 1 0 165131573 18657280 4132 4089446400 134512640 135752675 4289145200 18446744073709551615 135271249 0 0 4096 3 0 0 0 17 7 0 0 0
/proc/22594/statm: 4555 4132 144 303 0 4250 0
Current children cumulated CPU time (s) 3.09
Current children cumulated vsize (KiB) 18220

[startup+6.30063 s]
/proc/loadavg: 2.11 2.00 2.00 3/179 22595
/proc/meminfo: memFree=30025624/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=30868 CPUtime=6.29
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 7359 0 0 0 612 17 0 0 25 0 1 0 165131573 31608832 7274 4089446400 134512640 135752675 4289145200 18446744073709551615 134603346 0 0 4096 3 0 0 0 17 7 0 0 0
/proc/22594/statm: 7717 7274 144 303 0 7412 0
Current children cumulated CPU time (s) 6.29
Current children cumulated vsize (KiB) 30868

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

[startup+6.40062 s]
/proc/loadavg: 2.11 2.00 2.00 3/179 22595
/proc/meminfo: memFree=30025624/32951124 swapFree=67111528/67111528
[pid=22594] ppid=22592 vsize=31396 CPUtime=6.39
/proc/22594/stat : 22594 (wbo1.4b) R 22592 22594 20960 0 -1 4202496 7501 0 0 0 621 18 0 0 25 0 1 0 165131573 32149504 7416 4089446400 134512640 135752675 4289145200 18446744073709551615 135271249 0 0 4096 3 0 0 0 17 7 0 0 0
/proc/22594/statm: 7849 7416 144 303 0 7544 0
Current children cumulated CPU time (s) 6.39
Current children cumulated vsize (KiB) 31396

Child status: 0
Real time (s): 6.50011
CPU time (s): 6.49901
CPU user time (s): 6.31404
CPU system time (s): 0.184971
CPU usage (%): 99.9831
Max. virtual memory (cumulated for all children) (KiB): 31396

getrusage(RUSAGE_CHILDREN,...) data:
user time used= 6.31404
system time used= 0.184971
maximum resident set size= 0
integral shared memory size= 0
integral unshared data size= 0
integral unshared stack size= 0
page reclaims= 7651
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= 2
involuntary context switches= 97

runsolver used 0.011998 second user time and 0.025996 second system time

The end

Launcher Data 

Begin job on node110 at 2010-06-30 12:54:38
IDJOB=2690437
IDBENCH=78751
IDSOLVER=1201
FILE ID=node110/2690437-1277895278
PBS_JOBID= 11197134
Free space on /tmp= 74208 MiB

SOLVER NAME= wbo 1.4b
BENCH NAME= PB10/normalized-PB10/PARTIAL-SMALLINT-LIN/PB06/submitted-PB06/namasivayam/wnqueen/normalized-t2001.13queen13.1111217555--soft-33-100-0.wbo
COMMAND LINE= wbo1.4b -file-format=wbo -time-limit=TIMEOUT BENCHNAME
RUNSOLVER COMMAND LINE= BIN/runsolver --timestamp -w /tmp/evaluation-result-2690437-1277895278/watcher-2690437-1277895278 -o /tmp/evaluation-result-2690437-1277895278/solver-2690437-1277895278 -C 1800 -W 2000 -M 3800  wbo1.4b -file-format=wbo -time-limit=1800 HOME/instance-2690437-1277895278.wbo

TIME LIMIT= 1800 seconds
MEMORY LIMIT= 3800 MiB
MAX NB THREAD= 0

MD5SUM BENCH= 077b9c494cf23f6ff18d9e6ba287604c
RANDOM SEED=1048836036

node110.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		: 2666.849
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	: 5333.69
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		: 2666.849
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	: 5332.82
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		: 2666.849
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	: 5332.74
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		: 2666.849
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	: 5332.82
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		: 2666.849
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	: 5332.74
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		: 2666.849
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	: 5332.83
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		: 2666.849
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		: 2666.849
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	: 5332.74
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]


/proc/meminfo:
MemTotal:     32951124 kB
MemFree:      30061456 kB
Buffers:        180208 kB
Cached:         989056 kB
SwapCached:          0 kB
Active:        2114460 kB
Inactive:       630568 kB
HighTotal:           0 kB
HighFree:            0 kB
LowTotal:     32951124 kB
LowFree:      30061456 kB
SwapTotal:    67111528 kB
SwapFree:     67111528 kB
Dirty:            2772 kB
Writeback:           0 kB
AnonPages:     1576384 kB
Mapped:          15056 kB
Slab:            77708 kB
PageTables:       7820 kB
NFS_Unstable:        0 kB
Bounce:              0 kB
CommitLimit:  83587088 kB
Committed_AS:  1724696 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 /tmp at the end= 74208 MiB
End job on node110 at 2010-06-30 12:54:45