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Arthur Bit-Monnot 2020-03-24 06:52:45 +01:00
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.gradle/
.idea/
build/

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# Heuristic methods for JobShop scheduling
This repository contains the starter code for the assignment.
## Compile
Compilation instructions are given for Linux. On windows you can use the `gradlew.bat` script.
```
❯ ./gradlew build # Compiles the project
❯ ./gradlew jar # Creates a fat-jar in build/libs/JSP.jar
```
The compiled jar is now `build/libs/JSP.jar` can be executed like so :
```
❯ java -jar build/libs/JSP.jar --solver basic --instance ft06
```
The command line above indicates that we want to solve the instance named`ft06` with the `basic` solver. It should give an output like the following :
```
basic
instance size best runtime makespan ecart
ft06 6x6 55 1 60 9.1
AVG - - 1.0 - 9.1
```
Fields in the result view are the following :
- `instance`: name of the instance
- `size`: size of the instance `{nom-jobs}x{num-tasks}`
- `best`: best known resultfor this instance
- `runtime`: time taken by the solver in milliseconds (rounded)
- `makespan`: makespan of the solution
- `ecart`: normalized distance to the best result: `100 * (makespan - best) / best`
One can also specify multiple solvers (below `basic` and `random`) and instances (below `ft06`, `ft10` and `ft20`) for simultaneous testing:
```
❯ java -jar build/libs/JSP.jar --solver basic random --instance ft06 ft10 ft20
basic random
instance size best runtime makespan ecart runtime makespan ecart
ft06 6x6 55 1 60 9.1 999 55 0.0
ft10 10x10 930 0 1319 41.8 999 1209 30.0
ft20 20x5 1165 0 1672 43.5 999 1529 31.2
AVG - - 0.3 - 31.5 999.0 - 20.4
```
Here the last line give the average `runtime` and `ecart` for each solver.
```
usage: jsp-solver [-h] [-t TIMEOUT] --solver SOLVER [SOLVER ...]
--instance INSTANCE [INSTANCE ...]
Solves jobshop problems.
named arguments:
-h, --help show this help message and exit
--solver SOLVER [SOLVER ...]
Solver(s) to use (space separated if more than
one)
-t TIMEOUT, --timeout TIMEOUT
Solver timeout in seconds for each instance
(default: 1)
--instance INSTANCE [INSTANCE ...]
Instance(s) to solve (space separated if more
than one)
```
### Running directly from Gradle
The project can be executed directly with `gradle` by specifying the arguments like so :
```
❯ ./gradlew run --args="--solver basic random --instance aaa1 ft06 ft10 ft20"
```
This notably ensures that sources have been recompiled whenever necessary.
## IDE Support
Most IDEs should provide support for importing gradle projects.
- **Eclipse**: https://www.vogella.com/tutorials/EclipseGradle/article.html
- **IntelliJ**: https://www.jetbrains.com/help/idea/gradle.html#gradle_import_project_start

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plugins {
id 'java'
id 'application'
}
group 'jobshop'
//version '0.1'
sourceCompatibility = 8
application {
mainClassName = 'jobshop.Main'
}
repositories {
mavenCentral()
}
dependencies {
implementation 'net.sourceforge.argparse4j:argparse4j:0.8.1' // dependency for parsing command line arguments
testCompile group: 'junit', name: 'junit', version: '4.12'
}
jar {
manifest {
attributes(
'Main-Class': 'jobshop.Main'
)
}
from {
configurations.runtimeClasspath.collect { it.isDirectory() ? it : zipTree(it) }
}
}

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distributionBase=GRADLE_USER_HOME
distributionPath=wrapper/dists
distributionUrl=https\://services.gradle.org/distributions/gradle-5.2.1-bin.zip
zipStoreBase=GRADLE_USER_HOME
zipStorePath=wrapper/dists

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#!/usr/bin/env sh
##############################################################################
##
## Gradle start up script for UN*X
##
##############################################################################
# Attempt to set APP_HOME
# Resolve links: $0 may be a link
PRG="$0"
# Need this for relative symlinks.
while [ -h "$PRG" ] ; do
ls=`ls -ld "$PRG"`
link=`expr "$ls" : '.*-> \(.*\)$'`
if expr "$link" : '/.*' > /dev/null; then
PRG="$link"
else
PRG=`dirname "$PRG"`"/$link"
fi
done
SAVED="`pwd`"
cd "`dirname \"$PRG\"`/" >/dev/null
APP_HOME="`pwd -P`"
cd "$SAVED" >/dev/null
APP_NAME="Gradle"
APP_BASE_NAME=`basename "$0"`
# Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
DEFAULT_JVM_OPTS='"-Xmx64m"'
# Use the maximum available, or set MAX_FD != -1 to use that value.
MAX_FD="maximum"
warn () {
echo "$*"
}
die () {
echo
echo "$*"
echo
exit 1
}
# OS specific support (must be 'true' or 'false').
cygwin=false
msys=false
darwin=false
nonstop=false
case "`uname`" in
CYGWIN* )
cygwin=true
;;
Darwin* )
darwin=true
;;
MINGW* )
msys=true
;;
NONSTOP* )
nonstop=true
;;
esac
CLASSPATH=$APP_HOME/gradle/wrapper/gradle-wrapper.jar
# Determine the Java command to use to start the JVM.
if [ -n "$JAVA_HOME" ] ; then
if [ -x "$JAVA_HOME/jre/sh/java" ] ; then
# IBM's JDK on AIX uses strange locations for the executables
JAVACMD="$JAVA_HOME/jre/sh/java"
else
JAVACMD="$JAVA_HOME/bin/java"
fi
if [ ! -x "$JAVACMD" ] ; then
die "ERROR: JAVA_HOME is set to an invalid directory: $JAVA_HOME
Please set the JAVA_HOME variable in your environment to match the
location of your Java installation."
fi
else
JAVACMD="java"
which java >/dev/null 2>&1 || die "ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
Please set the JAVA_HOME variable in your environment to match the
location of your Java installation."
fi
# Increase the maximum file descriptors if we can.
if [ "$cygwin" = "false" -a "$darwin" = "false" -a "$nonstop" = "false" ] ; then
MAX_FD_LIMIT=`ulimit -H -n`
if [ $? -eq 0 ] ; then
if [ "$MAX_FD" = "maximum" -o "$MAX_FD" = "max" ] ; then
MAX_FD="$MAX_FD_LIMIT"
fi
ulimit -n $MAX_FD
if [ $? -ne 0 ] ; then
warn "Could not set maximum file descriptor limit: $MAX_FD"
fi
else
warn "Could not query maximum file descriptor limit: $MAX_FD_LIMIT"
fi
fi
# For Darwin, add options to specify how the application appears in the dock
if $darwin; then
GRADLE_OPTS="$GRADLE_OPTS \"-Xdock:name=$APP_NAME\" \"-Xdock:icon=$APP_HOME/media/gradle.icns\""
fi
# For Cygwin, switch paths to Windows format before running java
if $cygwin ; then
APP_HOME=`cygpath --path --mixed "$APP_HOME"`
CLASSPATH=`cygpath --path --mixed "$CLASSPATH"`
JAVACMD=`cygpath --unix "$JAVACMD"`
# We build the pattern for arguments to be converted via cygpath
ROOTDIRSRAW=`find -L / -maxdepth 1 -mindepth 1 -type d 2>/dev/null`
SEP=""
for dir in $ROOTDIRSRAW ; do
ROOTDIRS="$ROOTDIRS$SEP$dir"
SEP="|"
done
OURCYGPATTERN="(^($ROOTDIRS))"
# Add a user-defined pattern to the cygpath arguments
if [ "$GRADLE_CYGPATTERN" != "" ] ; then
OURCYGPATTERN="$OURCYGPATTERN|($GRADLE_CYGPATTERN)"
fi
# Now convert the arguments - kludge to limit ourselves to /bin/sh
i=0
for arg in "$@" ; do
CHECK=`echo "$arg"|egrep -c "$OURCYGPATTERN" -`
CHECK2=`echo "$arg"|egrep -c "^-"` ### Determine if an option
if [ $CHECK -ne 0 ] && [ $CHECK2 -eq 0 ] ; then ### Added a condition
eval `echo args$i`=`cygpath --path --ignore --mixed "$arg"`
else
eval `echo args$i`="\"$arg\""
fi
i=$((i+1))
done
case $i in
(0) set -- ;;
(1) set -- "$args0" ;;
(2) set -- "$args0" "$args1" ;;
(3) set -- "$args0" "$args1" "$args2" ;;
(4) set -- "$args0" "$args1" "$args2" "$args3" ;;
(5) set -- "$args0" "$args1" "$args2" "$args3" "$args4" ;;
(6) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" ;;
(7) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" ;;
(8) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" "$args7" ;;
(9) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" "$args7" "$args8" ;;
esac
fi
# Escape application args
save () {
for i do printf %s\\n "$i" | sed "s/'/'\\\\''/g;1s/^/'/;\$s/\$/' \\\\/" ; done
echo " "
}
APP_ARGS=$(save "$@")
# Collect all arguments for the java command, following the shell quoting and substitution rules
eval set -- $DEFAULT_JVM_OPTS $JAVA_OPTS $GRADLE_OPTS "\"-Dorg.gradle.appname=$APP_BASE_NAME\"" -classpath "\"$CLASSPATH\"" org.gradle.wrapper.GradleWrapperMain "$APP_ARGS"
# by default we should be in the correct project dir, but when run from Finder on Mac, the cwd is wrong
if [ "$(uname)" = "Darwin" ] && [ "$HOME" = "$PWD" ]; then
cd "$(dirname "$0")"
fi
exec "$JAVACMD" "$@"

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@if "%DEBUG%" == "" @echo off
@rem ##########################################################################
@rem
@rem Gradle startup script for Windows
@rem
@rem ##########################################################################
@rem Set local scope for the variables with windows NT shell
if "%OS%"=="Windows_NT" setlocal
set DIRNAME=%~dp0
if "%DIRNAME%" == "" set DIRNAME=.
set APP_BASE_NAME=%~n0
set APP_HOME=%DIRNAME%
@rem Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
set DEFAULT_JVM_OPTS="-Xmx64m"
@rem Find java.exe
if defined JAVA_HOME goto findJavaFromJavaHome
set JAVA_EXE=java.exe
%JAVA_EXE% -version >NUL 2>&1
if "%ERRORLEVEL%" == "0" goto init
echo.
echo ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
echo.
echo Please set the JAVA_HOME variable in your environment to match the
echo location of your Java installation.
goto fail
:findJavaFromJavaHome
set JAVA_HOME=%JAVA_HOME:"=%
set JAVA_EXE=%JAVA_HOME%/bin/java.exe
if exist "%JAVA_EXE%" goto init
echo.
echo ERROR: JAVA_HOME is set to an invalid directory: %JAVA_HOME%
echo.
echo Please set the JAVA_HOME variable in your environment to match the
echo location of your Java installation.
goto fail
:init
@rem Get command-line arguments, handling Windows variants
if not "%OS%" == "Windows_NT" goto win9xME_args
:win9xME_args
@rem Slurp the command line arguments.
set CMD_LINE_ARGS=
set _SKIP=2
:win9xME_args_slurp
if "x%~1" == "x" goto execute
set CMD_LINE_ARGS=%*
:execute
@rem Setup the command line
set CLASSPATH=%APP_HOME%\gradle\wrapper\gradle-wrapper.jar
@rem Execute Gradle
"%JAVA_EXE%" %DEFAULT_JVM_OPTS% %JAVA_OPTS% %GRADLE_OPTS% "-Dorg.gradle.appname=%APP_BASE_NAME%" -classpath "%CLASSPATH%" org.gradle.wrapper.GradleWrapperMain %CMD_LINE_ARGS%
:end
@rem End local scope for the variables with windows NT shell
if "%ERRORLEVEL%"=="0" goto mainEnd
:fail
rem Set variable GRADLE_EXIT_CONSOLE if you need the _script_ return code instead of
rem the _cmd.exe /c_ return code!
if not "" == "%GRADLE_EXIT_CONSOLE%" exit 1
exit /b 1
:mainEnd
if "%OS%"=="Windows_NT" endlocal
:omega

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# JSPLIB
Benchmark instances for the job-shop scheduling problem (minimizing makespan).
Source : https://github.com/tamy0612/JSPLIB
## Includes
- Five instances donated as ABZ5-9 due to Adams et al. [1].
- Three instances donated as FT06, FT10 and FT20 due to Fisher and Thompson [2].
- Forty instances donated as LA01-40 due to Lawrence [3].
- Ten instances donated as ORB01-10 due to Applegate and Cook [4].
- Twenty instances donated as SWV01-20 due to Storer et al. [5].
- Four instances donated as yn1-4 due to Yamada and Nakano [6].
- Eighty instances donated as ta01-80 due to Taillard [7].
## References
1. J. Adams, E. Balas, D. Zawack. "The shifting bottleneck procedure for job shop scheduling.", Management Science, Vol. 34, Issue 3, pp. 391-401, 1988.
2. J.F. Muth, G.L. Thompson. "Industrial scheduling.", Englewood Cliffs, NJ, Prentice-Hall, 1963.
3. S. Lawrence. "Resource constrained project scheduling: an experimental investigation of heuristic scheduling techniques (Supplement).", Graduate School of Industrial Administration. Pittsburgh, Pennsylvania, Carnegie-Mellon University, 1984.
4. D. Applegate, W. Cook. "A computational study of job-shop scheduling.", ORSA Journal on Computer, Vol. 3, Isuue 2, pp. 149-156, 1991.
5. R.H. Storer, S.D. Wu, R. Vaccari. "New search spaces for sequencing problems with applications to job-shop scheduling.", Management Science Vol. 38, Issue 10, pp. 1495-1509, 1992.
6. T. Yamada, R. Nakano. "A genetic algorithm applicable to large-scale job-shop problems.", Proceedings of the Second international workshop on parallel problem solving from Nature (PPSN'2). Brussels (Belgium), pp. 281-290, 1992.
7. E. Taillard. "Benchmarks for basic scheduling problems", European Journal of Operational Research, Vol. 64, Issue 2, pp. 278-285, 1993.

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# Example instance
2 3 # num-jobs num-tasks
0 3 1 3 2 2
1 2 0 2 2 4

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#+++++++++++++++++++++++++++++
# instance abz5
#+++++++++++++++++++++++++++++
# Adams, Balas, and Zawack 10x10 instance (Table 1, instance 5)
10 10
4 88 8 68 6 94 5 99 1 67 2 89 9 77 7 99 0 86 3 92
5 72 3 50 6 69 4 75 2 94 8 66 0 92 1 82 7 94 9 63
9 83 8 61 0 83 1 65 6 64 5 85 7 78 4 85 2 55 3 77
7 94 2 68 1 61 4 99 3 54 6 75 5 66 0 76 9 63 8 67
3 69 4 88 9 82 8 95 0 99 2 67 6 95 5 68 7 67 1 86
1 99 4 81 5 64 6 66 8 80 2 80 7 69 9 62 3 79 0 88
7 50 1 86 4 97 3 96 0 95 8 97 2 66 5 99 6 52 9 71
4 98 6 73 3 82 2 51 1 71 5 94 7 85 0 62 8 95 9 79
0 94 6 71 3 81 7 85 1 66 2 90 4 76 5 58 8 93 9 97
3 50 0 59 1 82 8 67 7 56 9 96 6 58 4 81 5 59 2 96

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#+++++++++++++++++++++++++++++
# instance abz6
#+++++++++++++++++++++++++++++
# Adams, and Zawack 10x10 instance (Table 1, instance 6)
10 10
7 62 8 24 5 25 3 84 4 47 6 38 2 82 0 93 9 24 1 66
5 47 2 97 8 92 9 22 1 93 4 29 7 56 3 80 0 78 6 67
1 45 7 46 6 22 2 26 9 38 0 69 4 40 3 33 8 75 5 96
4 85 8 76 5 68 9 88 3 36 6 75 2 56 1 35 0 77 7 85
8 60 9 20 7 25 3 63 4 81 0 52 1 30 5 98 6 54 2 86
3 87 9 73 5 51 2 95 4 65 1 86 6 22 8 58 0 80 7 65
5 81 2 53 7 57 6 71 9 81 0 43 4 26 8 54 3 58 1 69
4 20 6 86 5 21 8 79 9 62 2 34 0 27 1 81 7 30 3 46
9 68 6 66 5 98 8 86 7 66 0 56 3 82 1 95 4 47 2 78
0 30 3 50 7 34 2 58 1 77 5 34 8 84 4 40 9 46 6 44

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#+++++++++++++++++++++++++++++
# instance abz7
#+++++++++++++++++++++++++++++
# Adams, Balas, and Zawack 15 x 20 instance (Table 1, instance 7)
20 15
2 24 3 12 9 17 4 27 0 21 6 25 8 27 7 26 1 30 5 31 11 18 14 16 13 39 10 19 12 26
6 30 3 15 12 20 11 19 1 24 13 15 10 28 2 36 5 26 7 15 0 11 8 23 14 20 9 26 4 28
6 35 0 22 13 23 7 32 2 20 3 12 12 19 10 23 9 17 1 14 5 16 11 29 8 16 4 22 14 22
9 20 6 29 1 19 7 14 12 33 4 30 0 32 5 21 11 29 10 24 14 25 2 29 3 13 8 20 13 18
11 23 13 20 1 28 6 32 7 16 5 18 8 24 9 23 3 24 10 34 2 24 0 24 14 28 12 15 4 18
8 24 11 19 14 21 1 33 7 34 6 35 5 40 10 36 3 23 2 26 4 15 9 28 13 38 12 13 0 25
13 27 3 30 6 21 8 19 12 12 4 27 2 39 9 13 14 12 5 36 10 21 11 17 1 29 0 17 7 33
5 27 4 19 6 29 9 20 3 21 10 40 8 14 14 39 13 39 2 27 1 36 12 12 11 37 7 22 0 13
13 32 11 29 8 24 3 27 5 40 4 21 9 26 0 27 14 27 6 16 2 21 10 13 7 28 12 28 1 32
12 35 1 11 5 39 14 18 7 23 0 34 3 24 13 11 8 30 11 31 4 15 10 15 2 28 9 26 6 33
10 28 5 37 12 29 1 31 7 25 8 13 14 14 4 20 3 27 9 25 13 31 11 14 6 25 2 39 0 36
0 22 11 25 5 28 13 35 4 31 8 21 9 20 14 19 2 29 7 32 10 18 1 18 3 11 12 17 6 15
12 39 5 32 2 36 8 14 3 28 13 37 0 38 6 20 7 19 11 12 14 22 1 36 4 15 9 32 10 16
8 28 1 29 14 40 12 23 4 34 5 33 6 27 10 17 0 20 7 28 11 21 2 21 13 20 9 33 3 27
9 21 14 34 3 30 12 38 0 11 11 16 2 14 5 14 1 34 8 33 4 23 13 40 10 12 6 23 7 27
9 13 14 40 7 36 4 17 0 13 5 33 8 25 13 24 10 23 3 36 2 29 1 18 11 13 6 33 12 13
3 25 5 15 2 28 12 40 7 39 1 31 8 35 6 31 11 36 4 12 10 33 14 19 9 16 13 27 0 21
12 22 10 14 0 12 2 20 5 12 1 18 11 17 8 39 14 31 3 31 7 32 9 20 13 29 4 13 6 26
5 18 10 30 7 38 14 22 13 15 11 20 9 16 3 17 1 12 2 13 12 40 6 17 8 30 4 38 0 13
9 31 8 39 12 27 1 14 5 33 3 31 11 22 13 36 0 16 7 11 14 14 4 29 6 28 2 22 10 17

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#+++++++++++++++++++++++++++++
# instance abz8
#+++++++++++++++++++++++++++++
# Adams, Balas, and Zawack 15 x 20 instance (Table 1, instance 8)
20 15
0 19 9 33 2 32 13 18 10 39 8 34 6 25 4 36 11 40 12 33 1 31 14 30 3 34 5 26 7 13
9 11 10 22 14 19 5 12 4 25 6 38 0 29 7 39 13 19 11 22 1 23 3 20 2 40 12 19 8 26
3 25 8 17 11 24 13 40 10 32 14 16 5 39 9 19 0 24 1 39 4 17 2 35 7 38 6 20 12 31
14 22 3 36 2 34 12 17 4 30 13 12 1 13 6 25 9 12 7 18 10 31 0 39 5 40 8 26 11 37
12 32 14 15 1 35 7 13 8 32 11 23 6 22 4 21 0 38 2 38 3 40 10 31 5 11 13 37 9 16
10 23 12 38 8 11 14 27 9 11 6 25 5 14 4 12 2 27 11 26 7 29 3 28 13 21 0 20 1 30
6 39 8 38 0 15 12 27 10 22 9 27 2 32 4 40 3 12 13 20 14 21 11 22 5 17 7 38 1 27
11 11 13 24 10 38 8 15 9 19 14 13 5 30 0 26 2 29 6 33 12 21 1 15 3 21 4 28 7 33
8 20 6 17 5 26 3 34 9 23 0 16 2 18 4 35 12 24 10 16 11 26 7 12 14 13 13 27 1 19
1 18 7 37 14 27 9 40 5 40 6 17 8 22 3 17 10 30 0 38 4 21 12 32 11 24 13 24 2 30
11 19 0 22 13 36 6 18 5 22 3 17 14 35 10 34 7 23 8 19 2 29 1 22 12 17 4 33 9 39
6 32 3 22 12 24 5 13 4 13 1 11 0 11 13 25 8 13 2 15 10 33 11 17 14 16 9 38 7 24
14 16 13 16 1 37 8 25 2 26 3 11 9 34 4 14 0 20 6 36 12 12 5 29 10 25 7 32 11 12
8 20 10 24 11 27 9 38 5 34 12 39 7 33 4 37 2 31 13 15 14 34 3 33 6 26 1 36 0 14
8 31 0 17 9 13 1 21 10 17 7 19 13 14 3 40 5 32 11 25 2 34 14 23 6 13 12 40 4 26
8 38 12 17 3 14 13 17 4 12 1 35 6 35 0 19 10 36 7 19 9 29 2 31 5 26 11 35 14 37
14 20 3 16 0 33 10 14 5 27 7 31 8 16 6 31 12 28 9 37 4 37 2 29 11 38 1 30 13 36
11 18 3 37 14 16 6 15 8 14 12 11 13 32 5 12 1 11 10 29 7 19 4 12 9 18 2 26 0 39
11 11 2 11 12 22 9 35 14 20 7 31 4 19 3 39 5 28 6 33 10 34 1 38 0 20 13 17 8 28
2 12 12 25 5 23 8 21 6 27 9 30 14 23 11 39 3 26 13 34 7 17 1 24 4 12 0 19 10 36

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#+++++++++++++++++++++++++++++
# instance abz9
#+++++++++++++++++++++++++++++
# Adams, Balas, and Zawack 15 x 20 instance (Table 1, instance 9)
20 15
6 14 5 21 8 13 4 11 1 11 14 35 13 20 11 17 10 18 12 11 2 23 3 13 0 15 7 11 9 35
1 35 5 31 0 13 3 26 6 14 9 17 7 38 12 20 10 19 13 12 8 16 4 34 11 15 14 12 2 14
0 30 4 35 2 40 10 35 6 30 14 23 8 29 13 37 7 38 3 40 9 26 12 11 1 40 11 36 5 17
7 40 5 18 4 12 8 23 0 23 9 14 13 16 12 14 10 23 3 12 6 16 14 32 1 40 11 25 2 29
2 35 3 15 12 31 11 28 6 32 4 30 10 27 7 29 0 38 13 11 1 23 14 17 5 27 9 37 8 29
5 33 3 33 6 19 12 40 10 19 0 33 13 26 2 31 11 28 7 36 4 38 1 21 14 25 9 40 8 35
13 25 0 32 11 33 12 18 4 32 6 28 5 15 3 35 9 14 2 34 7 23 10 32 1 17 14 26 8 19
2 16 12 33 9 34 11 30 13 40 8 12 14 26 5 26 6 15 3 21 1 40 4 32 0 14 7 30 10 35
2 17 10 16 14 20 6 24 8 26 3 36 12 22 0 14 13 11 9 20 7 23 1 29 11 23 4 15 5 40
4 27 9 37 3 40 11 14 13 25 7 30 0 34 2 11 5 15 12 32 1 36 10 12 14 28 8 31 6 23
13 25 0 22 3 27 8 14 5 25 6 20 14 18 7 14 1 19 2 17 4 27 9 22 12 22 11 27 10 21
14 34 10 15 0 22 3 29 13 34 6 40 7 17 2 32 12 20 5 39 4 31 11 16 1 37 8 33 9 13
6 12 12 27 4 17 2 24 8 11 5 19 14 11 3 17 9 25 1 11 11 31 13 33 7 31 10 12 0 22
5 22 14 15 0 16 8 32 7 20 4 22 9 11 13 19 1 30 12 33 6 29 11 18 3 34 10 32 2 18
5 27 3 26 10 28 6 37 4 18 12 12 11 11 13 26 7 27 9 40 14 19 1 24 2 18 0 12 8 34
8 15 5 28 9 25 6 32 1 13 7 38 11 11 2 34 4 25 0 20 10 32 3 23 12 14 14 16 13 20
1 15 4 13 8 37 3 14 10 22 5 24 12 26 7 22 9 34 14 22 11 19 13 32 0 29 2 13 6 35
7 36 5 33 13 28 9 20 10 30 4 33 14 29 0 34 3 22 11 12 6 30 8 12 1 35 2 13 12 35
14 26 11 31 5 35 2 38 13 19 10 35 4 27 8 29 3 39 9 13 6 14 7 26 0 17 1 22 12 15
1 36 7 34 11 33 8 17 14 38 6 39 5 16 3 27 13 29 2 16 0 16 4 19 9 40 12 35 10 39

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#+++++++++++++++++++++++++++++
# instance ft06
#+++++++++++++++++++++++++++++
# Fisher and Thompson 6x6 instance, alternate name (mt06)
6 6
2 1 0 3 1 6 3 7 5 3 4 6
1 8 2 5 4 10 5 10 0 10 3 4
2 5 3 4 5 8 0 9 1 1 4 7
1 5 0 5 2 5 3 3 4 8 5 9
2 9 1 3 4 5 5 4 0 3 3 1
1 3 3 3 5 9 0 10 4 4 2 1

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#+++++++++++++++++++++++++++++
# instance ft10
#+++++++++++++++++++++++++++++
# Fisher and Thompson 10x10 instance, alternate name (mt10)
10 10
0 29 1 78 2 9 3 36 4 49 5 11 6 62 7 56 8 44 9 21
0 43 2 90 4 75 9 11 3 69 1 28 6 46 5 46 7 72 8 30
1 91 0 85 3 39 2 74 8 90 5 10 7 12 6 89 9 45 4 33
1 81 2 95 0 71 4 99 6 9 8 52 7 85 3 98 9 22 5 43
2 14 0 6 1 22 5 61 3 26 4 69 8 21 7 49 9 72 6 53
2 84 1 2 5 52 3 95 8 48 9 72 0 47 6 65 4 6 7 25
1 46 0 37 3 61 2 13 6 32 5 21 9 32 8 89 7 30 4 55
2 31 0 86 1 46 5 74 4 32 6 88 8 19 9 48 7 36 3 79
0 76 1 69 3 76 5 51 2 85 9 11 6 40 7 89 4 26 8 74
1 85 0 13 2 61 6 7 8 64 9 76 5 47 3 52 4 90 7 45

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#+++++++++++++++++++++++++++++
# instance ft20
#+++++++++++++++++++++++++++++
# Fisher and Thompson 20x5 instance, alternate name (mt20)
20 5
0 29 1 9 2 49 3 62 4 44
0 43 1 75 3 69 2 46 4 72
1 91 0 39 2 90 4 12 3 45
1 81 0 71 4 9 2 85 3 22
2 14 1 22 0 26 3 21 4 72
2 84 1 52 4 48 0 47 3 6
1 46 0 61 2 32 3 32 4 30
2 31 1 46 0 32 3 19 4 36
0 76 3 76 2 85 1 40 4 26
1 85 2 61 0 64 3 47 4 90
1 78 3 36 0 11 4 56 2 21
2 90 0 11 1 28 3 46 4 30
0 85 2 74 1 10 3 89 4 33
2 95 0 99 1 52 3 98 4 43
0 6 1 61 4 69 2 49 3 53
1 2 0 95 3 72 4 65 2 25
0 37 2 13 1 21 3 89 4 55
0 86 1 74 4 88 2 48 3 79
1 69 2 51 0 11 3 89 4 74
0 13 1 7 2 76 3 52 4 45

15
instances/la01 Normal file
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#+++++++++++++++++++++++++++++
# instance la01
#+++++++++++++++++++++++++++++
# Lawrence 10x5 instance (Table 3, instance 1); also called (setf1) or (F1)
10 5
1 21 0 53 4 95 3 55 2 34
0 21 3 52 4 16 2 26 1 71
3 39 4 98 1 42 2 31 0 12
1 77 0 55 4 79 2 66 3 77
0 83 3 34 2 64 1 19 4 37
1 54 2 43 4 79 0 92 3 62
3 69 4 77 1 87 2 87 0 93
2 38 0 60 1 41 3 24 4 83
3 17 1 49 4 25 0 44 2 98
4 77 3 79 2 43 1 75 0 96

15
instances/la02 Normal file
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#+++++++++++++++++++++++++++++
# instance la02
#+++++++++++++++++++++++++++++
# Lawrence 10x5 instance (Table 3, instance 2); also called (setf2) or (F2)
10 5
0 20 3 87 1 31 4 76 2 17
4 25 2 32 0 24 1 18 3 81
1 72 2 23 4 28 0 58 3 99
2 86 1 76 4 97 0 45 3 90
4 27 0 42 3 48 2 17 1 46
1 67 0 98 4 48 3 27 2 62
4 28 1 12 3 19 0 80 2 50
1 63 0 94 2 98 3 50 4 80
4 14 0 75 2 50 1 41 3 55
4 72 2 18 1 37 3 79 0 61

15
instances/la03 Normal file
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#+++++++++++++++++++++++++++++
# instance la03
#+++++++++++++++++++++++++++++
# Lawrence 10x5 instance (Table 3, instance 3); also called (setf3) or (F3)
10 5
1 23 2 45 0 82 4 84 3 38
2 21 1 29 0 18 4 41 3 50
2 38 3 54 4 16 0 52 1 52
4 37 0 54 2 74 1 62 3 57
4 57 0 81 1 61 3 68 2 30
4 81 0 79 1 89 2 89 3 11
3 33 2 20 0 91 4 20 1 66
4 24 1 84 0 32 2 55 3 8
4 56 0 7 3 54 2 64 1 39
4 40 1 83 0 19 2 8 3 7

15
instances/la04 Normal file
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#+++++++++++++++++++++++++++++
# instance la04
#+++++++++++++++++++++++++++++
# Lawrence 10x5 instance (Table 3, instance 4); also called (setf4) or (F4)
10 5
0 12 2 94 3 92 4 91 1 7
1 19 3 11 4 66 2 21 0 87
1 14 0 75 3 13 4 16 2 20
2 95 4 66 0 7 3 7 1 77
1 45 3 6 4 89 0 15 2 34
3 77 2 20 0 76 4 88 1 53
2 74 1 88 0 52 3 27 4 9
1 88 3 69 0 62 4 98 2 52
2 61 4 9 0 62 1 52 3 90
2 54 4 5 3 59 1 15 0 88

15
instances/la05 Normal file
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#+++++++++++++++++++++++++++++
# instance la05
#+++++++++++++++++++++++++++++
# Lawrence 10x5 instance (Table 3, instance 5); also called (setf5) or (F5)
10 5
1 72 0 87 4 95 2 66 3 60
4 5 3 35 0 48 2 39 1 54
1 46 3 20 2 21 0 97 4 55
0 59 3 19 4 46 1 34 2 37
4 23 2 73 3 25 1 24 0 28
3 28 0 45 4 5 1 78 2 83
0 53 3 71 1 37 4 29 2 12
4 12 2 87 3 33 1 55 0 38
2 49 3 83 1 40 0 48 4 7
2 65 3 17 0 90 4 27 1 23

20
instances/la06 Normal file
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#+++++++++++++++++++++++++++++
# instance la06
#+++++++++++++++++++++++++++++
# Lawrence 15x5 instance (Table 4, instance 1); also called (setg1) or (G1)
15 5
1 21 2 34 4 95 0 53 3 55
3 52 4 16 1 71 2 26 0 21
2 31 0 12 1 42 3 39 4 98
3 77 1 77 4 79 0 55 2 66
4 37 3 34 2 64 1 19 0 83
2 43 1 54 0 92 3 62 4 79
0 93 3 69 1 87 4 77 2 87
0 60 1 41 2 38 4 83 3 24
2 98 3 17 4 25 0 44 1 49
0 96 4 77 3 79 1 75 2 43
4 28 2 35 0 95 3 76 1 7
0 61 4 10 2 95 1 9 3 35
4 59 3 16 1 91 2 59 0 46
4 43 1 52 0 28 2 27 3 50
0 87 1 45 2 39 4 9 3 41

20
instances/la07 Normal file
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#+++++++++++++++++++++++++++++
# instance la07
#+++++++++++++++++++++++++++++
# Lawrence 15x5 instance (Table 4, instance 2); also called (setg2) or (G2)
15 5
0 47 4 57 1 71 3 96 2 14
0 75 1 60 4 22 3 79 2 65
3 32 0 33 2 69 1 31 4 58
0 44 1 34 4 51 3 58 2 47
3 29 1 44 0 62 2 17 4 8
1 15 2 40 0 97 4 38 3 66
2 58 1 39 0 57 4 20 3 50
2 57 3 32 4 87 0 63 1 21
4 56 0 84 2 90 1 85 3 61
4 15 0 20 1 67 3 30 2 70
4 84 0 82 1 23 2 45 3 38
3 50 2 21 0 18 4 41 1 29
4 16 1 52 0 52 2 38 3 54
4 37 0 54 3 57 2 74 1 62
4 57 1 61 0 81 2 30 3 68

20
instances/la08 Normal file
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#+++++++++++++++++++++++++++++
# instance la08
#+++++++++++++++++++++++++++++
# Lawrence 15x5 instance (Table 4, instance 3); also called (setg3) or (G3)
15 5
3 92 2 94 0 12 4 91 1 7
2 21 1 19 0 87 3 11 4 66
1 14 3 13 0 75 4 16 2 20
2 95 4 66 0 7 1 77 3 7
2 34 4 89 3 6 1 45 0 15
4 88 3 77 2 20 1 53 0 76
4 9 3 27 0 52 1 88 2 74
3 69 2 52 0 62 1 88 4 98
3 90 0 62 4 9 2 61 1 52
4 5 2 54 3 59 0 88 1 15
0 41 1 50 4 78 3 53 2 23
0 38 4 72 2 91 3 68 1 71
0 45 3 95 4 52 2 25 1 6
3 30 1 66 0 23 4 36 2 17
2 95 0 71 3 76 1 8 4 88

20
instances/la09 Normal file
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#+++++++++++++++++++++++++++++
# instance la09
#+++++++++++++++++++++++++++++
# Lawrence 15x5 instance (Table 4, instance 4); also called (setg4) or (G4)
15 5
1 66 3 85 2 84 0 62 4 19
3 59 1 64 2 46 4 13 0 25
4 88 3 80 1 73 2 53 0 41
0 14 1 67 2 57 3 74 4 47
0 84 4 64 2 41 3 84 1 78
0 63 3 28 1 46 2 26 4 52
3 10 2 17 4 73 1 11 0 64
2 67 1 97 3 95 4 38 0 85
2 95 4 46 0 59 1 65 3 93
2 43 4 85 3 32 1 85 0 60
4 49 3 41 2 61 0 66 1 90
1 17 0 23 3 70 4 99 2 49
4 40 3 73 0 73 1 98 2 68
3 57 1 9 2 7 0 13 4 98
0 37 1 85 2 17 4 79 3 41

20
instances/la10 Normal file
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#+++++++++++++++++++++++++++++
# instance la10
#+++++++++++++++++++++++++++++
# Lawrence 15x5 instance (Table 4, instance 5); also called (setg5) or (G5)
15 5
1 58 2 44 3 5 0 9 4 58
1 89 0 97 4 96 3 77 2 84
0 77 1 87 2 81 4 39 3 85
3 57 1 21 2 31 0 15 4 73
2 48 0 40 1 49 3 70 4 71
3 34 4 82 2 80 0 10 1 22
1 91 4 75 0 55 2 17 3 7
2 62 3 47 1 72 4 35 0 11
0 64 3 75 4 50 1 90 2 94
2 67 4 20 3 15 0 12 1 71
0 52 4 93 3 68 2 29 1 57
2 70 0 58 1 93 4 7 3 77
3 27 2 82 1 63 4 6 0 95
1 87 2 56 4 36 0 26 3 48
3 76 2 36 0 36 4 15 1 8

25
instances/la11 Normal file
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#+++++++++++++++++++++++++++++
# instance la11
#+++++++++++++++++++++++++++++
# Lawrence 20x5 instance (Table 5, instance 1); also called (seth1) or H1
20 5
2 34 1 21 0 53 3 55 4 95
0 21 3 52 1 71 4 16 2 26
0 12 1 42 2 31 4 98 3 39
2 66 3 77 4 79 0 55 1 77
0 83 4 37 3 34 1 19 2 64
4 79 2 43 0 92 3 62 1 54
0 93 4 77 2 87 1 87 3 69
4 83 3 24 1 41 2 38 0 60
4 25 1 49 0 44 2 98 3 17
0 96 1 75 2 43 4 77 3 79
0 95 3 76 1 7 4 28 2 35
4 10 2 95 0 61 1 9 3 35
1 91 2 59 4 59 0 46 3 16
2 27 1 52 4 43 0 28 3 50
4 9 0 87 3 41 2 39 1 45
1 54 0 20 4 43 3 14 2 71
4 33 1 28 3 26 0 78 2 37
1 89 0 33 2 8 3 66 4 42
4 84 0 69 2 94 1 74 3 27
4 81 2 45 1 78 3 69 0 96

25
instances/la12 Normal file
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#+++++++++++++++++++++++++++++
# instance la12
#+++++++++++++++++++++++++++++
# Lawrence 20x5 instance (Table 5, instance 2); also called (seth2) or H2
20 5
1 23 0 82 4 84 2 45 3 38
3 50 4 41 1 29 0 18 2 21
4 16 3 54 1 52 2 38 0 52
1 62 3 57 4 37 2 74 0 54
3 68 1 61 2 30 0 81 4 57
1 89 2 89 3 11 0 79 4 81
1 66 0 91 3 33 4 20 2 20
3 8 4 24 2 55 0 32 1 84
0 7 2 64 1 39 4 56 3 54
0 19 4 40 3 7 2 8 1 83
0 63 2 64 3 91 4 40 1 6
1 42 3 61 4 15 2 98 0 74
1 80 0 26 3 75 4 6 2 87
2 39 4 22 0 75 3 24 1 44
1 15 3 79 4 8 0 12 2 20
3 26 2 43 0 80 4 22 1 61
2 62 1 36 0 63 3 96 4 40
1 33 3 18 0 22 4 5 2 10
2 64 4 64 0 89 1 96 3 95
2 18 4 23 3 15 1 38 0 8

25
instances/la13 Normal file
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#+++++++++++++++++++++++++++++
# instance la13
#+++++++++++++++++++++++++++++
# Lawrence 20x5 instance (Table 5, instance 3); also called (seth3) or (H3)
20 5
3 60 0 87 1 72 4 95 2 66
1 54 0 48 2 39 3 35 4 5
3 20 1 46 0 97 2 21 4 55
2 37 0 59 3 19 1 34 4 46
2 73 3 25 1 24 0 28 4 23
1 78 3 28 2 83 0 45 4 5
3 71 1 37 2 12 4 29 0 53
4 12 3 33 1 55 2 87 0 38
0 48 1 40 2 49 3 83 4 7
0 90 4 27 2 65 3 17 1 23
0 62 3 85 1 66 2 84 4 19
3 59 2 46 4 13 1 64 0 25
2 53 1 73 3 80 4 88 0 41
2 57 4 47 0 14 1 67 3 74
2 41 4 64 3 84 1 78 0 84
4 52 3 28 2 26 0 63 1 46
1 11 0 64 3 10 4 73 2 17
4 38 3 95 0 85 1 97 2 67
3 93 1 65 2 95 0 59 4 46
0 60 1 85 2 43 4 85 3 32

25
instances/la14 Normal file
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#+++++++++++++++++++++++++++++
# instance la14
#+++++++++++++++++++++++++++++
# Lawrence 20x5 instance (Table 5, instance 4); also called (seth4) or (H4)
20 5
3 5 4 58 2 44 0 9 1 58
1 89 4 96 0 97 2 84 3 77
2 81 3 85 1 87 4 39 0 77
0 15 3 57 4 73 1 21 2 31
2 48 4 71 3 70 0 40 1 49
0 10 4 82 3 34 2 80 1 22
2 17 0 55 1 91 4 75 3 7
3 47 2 62 1 72 4 35 0 11
1 90 2 94 4 50 0 64 3 75
3 15 2 67 0 12 4 20 1 71
4 93 2 29 0 52 1 57 3 68
3 77 1 93 0 58 2 70 4 7
1 63 3 27 0 95 4 6 2 82
4 36 0 26 3 48 2 56 1 87
2 36 1 8 4 15 3 76 0 36
4 78 1 84 3 41 0 30 2 76
1 78 0 75 4 88 3 13 2 81
0 54 4 40 2 13 1 82 3 29
1 26 4 82 0 52 3 6 2 6
3 54 1 64 0 54 2 32 4 88

25
instances/la15 Normal file
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#+++++++++++++++++++++++++++++
# instance la15
#+++++++++++++++++++++++++++++
# Lawrence 20x5 instance (Table 5, instance 5); also called (seth5) or (H5)
20 5
0 6 2 40 1 81 3 37 4 19
2 40 3 32 0 55 4 81 1 9
1 46 4 65 2 70 3 55 0 77
2 21 4 65 0 64 3 25 1 15
2 85 0 40 1 44 3 24 4 37
0 89 4 29 1 83 3 31 2 84
4 59 3 38 1 80 2 30 0 8
0 80 2 56 1 77 4 41 3 97
4 56 0 91 3 50 2 71 1 17
1 40 0 88 4 59 2 7 3 80
0 45 1 29 2 8 4 77 3 58
2 36 0 54 3 96 1 9 4 10
0 28 2 73 1 98 3 92 4 87
0 70 3 86 2 27 1 99 4 96
1 95 0 59 4 56 3 85 2 41
1 81 2 92 4 32 0 52 3 39
1 7 4 22 2 12 0 88 3 60
3 45 0 93 2 69 4 49 1 27
0 21 1 84 2 61 3 68 4 26
1 82 2 33 4 71 0 99 3 44

15
instances/la16 Normal file
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#+++++++++++++++++++++++++++++
# instance la16
#+++++++++++++++++++++++++++++
# Lawrence 10x10 instance (Table 6, instance 1); also called (seta1) or (A1)
10 10
1 21 6 71 9 16 8 52 7 26 2 34 0 53 4 21 3 55 5 95
4 55 2 31 5 98 9 79 0 12 7 66 1 42 8 77 6 77 3 39
3 34 2 64 8 62 1 19 4 92 9 79 7 43 6 54 0 83 5 37
1 87 3 69 2 87 7 38 8 24 9 83 6 41 0 93 5 77 4 60
2 98 0 44 5 25 6 75 7 43 1 49 4 96 9 77 3 17 8 79
2 35 3 76 5 28 9 10 4 61 6 9 0 95 8 35 1 7 7 95
3 16 2 59 0 46 1 91 9 43 8 50 6 52 5 59 4 28 7 27
1 45 0 87 3 41 4 20 6 54 9 43 8 14 5 9 2 39 7 71
4 33 2 37 8 66 5 33 3 26 7 8 1 28 6 89 9 42 0 78
8 69 9 81 2 94 4 96 3 27 0 69 7 45 6 78 1 74 5 84

15
instances/la17 Normal file
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#+++++++++++++++++++++++++++++
# instance la17
#+++++++++++++++++++++++++++++
# Lawrence 10x10 instance (Table 6, instance 2); also called (seta2) or (A2)
10 10
4 18 7 21 9 41 2 45 3 38 8 50 5 84 6 29 1 23 0 82
8 57 5 16 1 52 7 74 2 38 3 54 6 62 9 37 4 54 0 52
2 30 4 79 3 68 1 61 8 11 6 89 7 89 0 81 9 81 5 57
0 91 8 8 3 33 7 55 5 20 2 20 4 32 6 84 1 66 9 24
9 40 0 7 4 19 8 7 6 83 2 64 5 56 3 54 7 8 1 39
3 91 2 64 5 40 0 63 7 98 4 74 8 61 1 6 6 42 9 15
1 80 7 39 8 24 3 75 4 75 5 6 6 44 0 26 2 87 9 22
1 15 7 43 2 20 0 12 8 26 6 61 3 79 9 22 5 8 4 80
2 62 3 96 4 22 9 5 0 63 6 33 7 10 8 18 1 36 5 40
1 96 0 89 5 64 3 95 9 23 7 18 8 15 2 64 6 38 4 8

15
instances/la18 Normal file
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#+++++++++++++++++++++++++++++
# instance la18
#+++++++++++++++++++++++++++++
# Lawrence 10x10 instance (Table 6, instance 3); also called (seta3) or (A3)
10 10
6 54 0 87 4 48 3 60 7 39 8 35 1 72 5 95 2 66 9 5
3 20 9 46 6 34 5 55 0 97 8 19 4 59 2 21 7 37 1 46
4 45 1 24 8 28 0 28 7 83 6 78 5 23 3 25 9 5 2 73
9 12 1 37 4 38 3 71 8 33 2 12 6 55 0 53 7 87 5 29
3 83 2 49 6 23 9 27 7 65 0 48 4 90 5 7 1 40 8 17
1 66 4 25 0 62 2 84 9 13 6 64 7 46 8 59 5 19 3 85
1 73 3 80 0 41 2 53 9 47 7 57 8 74 4 14 6 67 5 88
5 64 3 84 6 46 1 78 0 84 7 26 8 28 9 52 2 41 4 63
1 11 0 64 7 67 4 85 3 10 5 73 9 38 8 95 6 97 2 17
4 60 8 32 2 95 3 93 1 65 6 85 7 43 9 85 5 46 0 59

15
instances/la19 Normal file
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#+++++++++++++++++++++++++++++
# instance la19
#+++++++++++++++++++++++++++++
# Lawrence 10x10 instance (Table 6, instance 4); also called (seta4) or (A4)
10 10
2 44 3 5 5 58 4 97 0 9 7 84 8 77 9 96 1 58 6 89
4 15 7 31 1 87 8 57 0 77 3 85 2 81 5 39 9 73 6 21
9 82 6 22 4 10 3 70 1 49 0 40 8 34 2 48 7 80 5 71
1 91 2 17 7 62 5 75 8 47 4 11 3 7 6 72 9 35 0 55
6 71 1 90 3 75 0 64 2 94 8 15 4 12 7 67 9 20 5 50
7 70 5 93 8 77 2 29 4 58 6 93 3 68 1 57 9 7 0 52
6 87 1 63 4 26 5 6 2 82 3 27 7 56 8 48 9 36 0 95
0 36 5 15 8 41 9 78 3 76 6 84 4 30 7 76 2 36 1 8
5 88 2 81 3 13 6 82 4 54 7 13 8 29 9 40 1 78 0 75
9 88 4 54 6 64 7 32 0 52 2 6 8 54 5 82 3 6 1 26

15
instances/la20 Normal file
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#+++++++++++++++++++++++++++++
# instance la20
#+++++++++++++++++++++++++++++
# Lawrence 10x10 instance (Table 6, instance 5); also called (seta5) or (A5)
10 10
6 9 1 81 4 55 2 40 8 32 3 37 0 6 5 19 9 81 7 40
7 21 2 70 9 65 4 64 1 46 5 65 8 25 0 77 3 55 6 15
2 85 5 37 0 40 3 24 1 44 6 83 4 89 8 31 7 84 9 29
4 80 6 77 7 56 0 8 2 30 5 59 3 38 1 80 9 41 8 97
0 91 6 40 4 88 1 17 2 71 3 50 9 59 8 80 5 56 7 7
2 8 6 9 3 58 5 77 1 29 8 96 0 45 9 10 4 54 7 36
4 70 3 92 1 98 5 87 6 99 7 27 8 86 9 96 0 28 2 73
1 95 7 92 3 85 4 52 6 81 9 32 8 39 0 59 2 41 5 56
3 60 8 45 0 88 2 12 1 7 5 22 4 93 9 49 7 69 6 27
0 21 2 61 3 68 5 26 6 82 9 71 8 44 4 99 7 33 1 84

20
instances/la21 Normal file
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#+++++++++++++++++++++++++++++
# instance la21
#+++++++++++++++++++++++++++++
# Lawrence 15x10 instance (Table 7, instance 1); also called (setb1) or (B1)
15 10
2 34 3 55 5 95 9 16 4 21 6 71 0 53 8 52 1 21 7 26
3 39 2 31 0 12 1 42 9 79 8 77 6 77 5 98 4 55 7 66
1 19 0 83 3 34 4 92 6 54 9 79 8 62 5 37 2 64 7 43
4 60 2 87 8 24 5 77 3 69 7 38 1 87 6 41 9 83 0 93
8 79 9 77 2 98 4 96 3 17 0 44 7 43 6 75 1 49 5 25
8 35 7 95 6 9 9 10 2 35 1 7 5 28 4 61 0 95 3 76
4 28 5 59 3 16 9 43 0 46 8 50 6 52 7 27 2 59 1 91
5 9 4 20 2 39 6 54 1 45 7 71 0 87 3 41 9 43 8 14
1 28 5 33 0 78 3 26 2 37 7 8 8 66 6 89 9 42 4 33
2 94 5 84 6 78 9 81 1 74 3 27 8 69 0 69 7 45 4 96
1 31 4 24 0 20 2 17 9 25 8 81 5 76 3 87 7 32 6 18
5 28 9 97 0 58 4 45 6 76 3 99 2 23 1 72 8 90 7 86
5 27 9 48 8 27 7 62 4 98 6 67 3 48 0 42 1 46 2 17
1 12 8 50 0 80 2 50 9 80 3 19 5 28 6 63 4 94 7 98
4 61 3 55 6 37 5 14 2 50 8 79 1 41 9 72 7 18 0 75

20
instances/la22 Normal file
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#+++++++++++++++++++++++++++++
# instance la22
#+++++++++++++++++++++++++++++
# Lawrence 15x10 instance (Table 7, instance 2); also called (setb2) or (B2)
15 10
9 66 5 91 4 87 2 94 7 21 3 92 1 7 0 12 8 11 6 19
3 13 2 20 4 7 1 14 9 66 0 75 6 77 5 16 7 95 8 7
8 77 7 20 2 34 0 15 9 88 5 89 6 53 3 6 1 45 4 76
3 27 2 74 6 88 4 62 7 52 8 69 5 9 9 98 0 52 1 88
4 88 6 15 1 52 2 61 7 54 0 62 8 59 5 9 3 90 9 5
6 71 0 41 4 38 3 53 7 91 8 68 1 50 5 78 2 23 9 72
3 95 9 36 6 66 5 52 0 45 8 30 4 23 2 25 7 17 1 6
4 65 1 8 8 85 0 71 7 65 6 28 5 88 3 76 9 27 2 95
9 37 1 37 4 28 3 51 8 86 2 9 6 55 0 73 7 51 5 90
3 39 2 15 6 83 9 44 7 53 0 16 4 46 5 24 1 25 8 82
1 72 4 48 0 87 2 66 9 5 6 54 7 39 8 35 5 95 3 60
1 46 3 20 0 97 2 21 9 46 7 37 8 19 4 59 6 34 5 55
5 23 3 25 6 78 1 24 0 28 7 83 8 28 9 5 2 73 4 45
1 37 0 53 7 87 4 38 3 71 5 29 9 12 8 33 6 55 2 12
4 90 8 17 2 49 3 83 1 40 6 23 7 65 9 27 5 7 0 48

20
instances/la23 Normal file
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@ -0,0 +1,20 @@
#+++++++++++++++++++++++++++++
# instance la23
#+++++++++++++++++++++++++++++
# Lawrence 15x10 instance (Table 7, instance 3); also called (setb3) or (B3)
15 10
7 84 5 58 8 77 2 44 4 97 6 89 3 5 1 58 9 96 0 9
6 21 1 87 4 15 5 39 2 81 3 85 7 31 8 57 9 73 0 77
0 40 5 71 8 34 9 82 3 70 6 22 4 10 7 80 2 48 1 49
5 75 2 17 3 7 6 72 4 11 7 62 8 47 9 35 1 91 0 55
9 20 4 12 6 71 7 67 0 64 2 94 8 15 5 50 3 75 1 90
6 93 5 93 1 57 7 70 8 77 4 58 0 52 2 29 9 7 3 68
7 56 0 95 8 48 4 26 2 82 1 63 9 36 3 27 6 87 5 6
3 76 5 15 9 78 1 8 8 41 2 36 4 30 6 84 0 36 7 76
0 75 7 13 2 81 8 29 4 54 6 82 5 88 1 78 9 40 3 13
2 6 1 26 7 32 6 64 4 54 0 52 5 82 3 6 9 88 8 54
8 62 2 67 5 32 0 62 7 69 3 61 1 35 4 72 9 5 6 93
2 78 9 90 0 85 1 72 8 64 6 63 3 11 7 82 5 88 4 7
4 28 9 11 7 50 6 88 0 44 5 31 2 27 1 66 8 49 3 35
2 14 5 39 6 56 4 62 3 97 9 66 7 69 1 7 8 47 0 76
1 18 8 93 7 58 6 47 3 69 9 57 2 41 5 53 4 79 0 64

20
instances/la24 Normal file
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@ -0,0 +1,20 @@
#+++++++++++++++++++++++++++++
# instance la24
#+++++++++++++++++++++++++++++
# Lawrence 15x10 instance (Table 7, instance 4); also called (setb4) or (B4)
15 10
7 8 9 75 0 72 6 74 4 30 8 43 2 38 5 98 1 26 3 19
6 19 8 73 3 43 0 23 1 85 4 39 5 13 9 26 2 67 7 9
1 50 3 93 5 80 4 7 0 55 2 61 6 57 8 72 9 42 7 46
1 68 7 43 4 99 6 60 5 68 0 91 8 11 3 96 9 11 2 72
7 84 2 34 8 40 5 7 1 70 6 74 3 12 0 43 9 69 4 30
8 60 0 49 4 59 5 72 9 63 1 69 7 99 6 45 3 27 2 9
6 71 2 91 8 65 1 90 9 98 4 8 7 50 0 75 5 37 3 17
8 62 7 90 5 98 3 31 2 91 4 38 9 72 1 9 0 72 6 49
4 35 0 39 9 74 5 25 7 47 3 52 2 63 8 21 6 35 1 80
9 58 0 5 3 50 8 52 1 88 6 20 2 68 5 24 4 53 7 57
7 99 3 91 4 33 5 19 2 18 6 38 0 24 9 35 1 49 8 9
0 68 3 60 2 77 7 10 8 60 5 15 9 72 1 18 6 90 4 18
9 79 1 60 3 56 6 91 2 40 8 86 7 72 0 80 5 89 4 51
4 10 2 92 5 23 6 46 8 40 7 72 3 6 1 23 0 95 9 34
2 24 5 29 9 49 8 55 0 47 6 77 3 77 7 8 1 28 4 48

20
instances/la25 Normal file
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@ -0,0 +1,20 @@
#+++++++++++++++++++++++++++++
# instance la25
#+++++++++++++++++++++++++++++
# Lawrence 15x10 instance (Table 7, instance 5); also called (setb5) or (B5)
15 10
8 14 4 75 3 12 2 38 0 76 5 97 9 12 1 29 7 44 6 66
5 38 3 82 2 85 4 58 6 87 9 89 0 43 1 80 7 69 8 92
9 5 1 84 0 43 6 48 4 8 7 7 3 41 5 61 8 66 2 14
2 42 1 8 0 96 5 19 4 59 7 97 9 73 8 43 3 74 6 41
6 55 2 70 3 75 8 42 4 37 7 23 1 48 5 5 9 38 0 7
8 9 2 72 7 31 0 79 5 73 3 95 4 25 6 43 9 60 1 56
0 97 2 64 3 78 5 21 4 94 9 31 8 53 6 16 7 86 1 7
3 86 7 85 9 63 0 61 2 65 4 30 5 32 1 33 8 44 6 59
2 44 3 16 4 11 6 45 1 30 9 84 8 93 0 60 5 61 7 90
7 36 8 31 4 47 6 52 0 32 5 11 2 28 9 35 3 20 1 49
8 20 6 49 7 74 4 10 5 17 3 34 0 85 2 77 9 68 1 84
1 85 5 7 8 71 6 59 4 76 0 17 3 29 2 17 7 48 9 13
2 15 6 87 7 11 1 39 4 39 8 43 0 19 3 32 9 16 5 64
6 32 2 92 5 33 8 82 1 83 7 57 9 99 4 91 3 99 0 8
4 88 7 7 8 27 1 38 3 91 2 69 6 21 9 62 5 39 0 48

25
instances/la26 Normal file
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@ -0,0 +1,25 @@
#+++++++++++++++++++++++++++++
# instance la26
#+++++++++++++++++++++++++++++
# Lawrence 20x10 instance (Table 8, instance 1); also called (setc1) or (C1)
20 10
8 52 7 26 6 71 9 16 2 34 1 21 5 95 4 21 0 53 3 55
4 55 5 98 3 39 9 79 0 12 8 77 6 77 7 66 2 31 1 42
5 37 4 92 2 64 6 54 1 19 7 43 0 83 3 34 9 79 8 62
1 87 5 77 0 93 3 69 2 87 7 38 8 24 6 41 9 83 4 60
2 98 5 25 6 75 9 77 1 49 3 17 8 79 0 44 7 43 4 96
1 7 4 61 0 95 2 35 9 10 8 35 5 28 3 76 7 95 6 9
5 59 9 43 0 46 4 28 6 52 3 16 2 59 1 91 8 50 7 27
5 9 9 43 8 14 7 71 4 20 6 54 3 41 0 87 1 45 2 39
1 28 8 66 0 78 2 37 9 42 3 26 5 33 6 89 4 33 7 8
4 96 3 27 6 78 5 84 2 94 8 69 1 74 9 81 7 45 0 69
4 24 7 32 9 25 2 17 3 87 8 81 5 76 6 18 1 31 0 20
8 90 5 28 1 72 7 86 2 23 3 99 6 76 9 97 4 45 0 58
2 17 4 98 3 48 1 46 8 27 6 67 7 62 0 42 9 48 5 27
0 80 8 50 3 19 7 98 5 28 2 50 4 94 6 63 1 12 9 80
9 72 0 75 4 61 8 79 6 37 2 50 5 14 3 55 7 18 1 41
3 96 2 14 5 57 0 47 7 65 4 75 8 79 1 71 6 60 9 22
1 31 7 47 8 58 3 32 4 44 5 58 6 34 0 33 2 69 9 51
1 44 7 40 2 17 0 62 8 66 6 15 3 29 9 38 5 8 4 97
2 58 3 50 4 63 9 87 0 57 6 21 7 57 8 32 1 39 5 20
1 85 0 84 5 56 3 61 9 15 7 70 8 30 2 90 6 67 4 20

25
instances/la27 Normal file
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@ -0,0 +1,25 @@
#+++++++++++++++++++++++++++++
# instance la27
#+++++++++++++++++++++++++++++
# Lawrence 20x10 instance (Table 8, instance 2); also called (setc2) or (C2)
20 10
3 60 4 48 5 95 0 87 1 72 9 5 8 35 7 39 6 54 2 66
7 37 6 34 0 97 5 55 2 21 3 20 4 59 9 46 8 19 1 46
4 45 2 73 1 24 8 28 0 28 3 25 5 23 7 83 9 5 6 78
0 53 2 12 9 12 1 37 8 33 3 71 6 55 5 29 7 87 4 38
4 90 2 49 9 27 7 65 5 7 6 23 0 48 3 83 8 17 1 40
3 85 4 25 2 84 6 64 9 13 1 66 7 46 8 59 0 62 5 19
5 88 6 67 4 14 0 41 1 73 7 57 2 53 3 80 9 47 8 74
1 78 5 64 4 63 6 46 3 84 0 84 8 28 9 52 7 26 2 41
1 11 0 64 6 97 9 38 2 17 4 85 5 73 3 10 8 95 7 67
3 93 2 95 7 43 1 65 8 32 0 59 6 85 5 46 9 85 4 60
2 61 3 41 5 49 4 23 0 66 7 49 8 70 9 99 1 90 6 17
4 13 7 7 1 98 8 57 0 73 3 73 2 68 5 40 9 98 6 9
9 86 6 76 4 14 3 41 1 85 0 37 8 19 2 17 7 54 5 79
1 40 2 53 7 97 5 87 8 96 4 84 3 16 6 66 9 52 0 95
6 33 1 33 3 87 0 18 2 55 8 13 4 77 7 60 9 42 5 74
7 92 5 91 8 79 2 54 4 69 6 79 3 33 1 61 9 39 0 16
6 82 1 41 4 28 5 64 2 78 3 76 7 6 8 49 9 47 0 58
0 52 5 42 8 24 9 91 3 47 6 88 4 91 7 52 2 28 1 35
5 82 2 76 3 86 6 93 4 84 7 38 8 95 9 37 1 21 0 23
9 77 4 8 6 42 7 64 0 70 2 45 8 45 5 28 3 67 1 86

25
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#+++++++++++++++++++++++++++++
# instance la28
#+++++++++++++++++++++++++++++
# Lawrence 20x10 instance (Table 8, instance 3); also called (setc3) or (C3)
20 10
8 32 1 81 4 55 7 40 0 6 5 19 9 81 3 37 2 40 6 9
2 70 3 55 7 21 4 64 1 46 8 25 9 65 0 77 5 65 6 15
7 84 4 89 3 24 1 44 2 85 8 31 9 29 6 83 5 37 0 40
4 80 5 59 0 8 2 30 6 77 3 38 1 80 7 56 9 41 8 97
6 40 2 71 0 91 7 7 9 59 8 80 3 50 5 56 1 17 4 88
7 36 9 10 0 45 6 9 4 54 8 96 2 8 5 77 1 29 3 58
6 99 8 86 3 92 0 28 1 98 4 70 5 87 9 96 2 73 7 27
1 95 3 85 5 56 4 52 0 59 2 41 6 81 8 39 9 32 7 92
1 7 7 69 4 93 6 27 5 22 0 88 8 45 3 60 9 49 2 12
7 33 2 61 8 44 5 26 1 84 6 82 3 68 0 21 9 71 4 99
8 43 0 72 4 30 5 98 9 75 1 26 7 8 6 74 3 19 2 38
6 19 2 67 8 73 1 85 9 26 4 39 7 9 0 23 5 13 3 43
8 72 7 46 5 80 3 93 2 61 4 7 9 42 1 50 0 55 6 57
4 99 0 91 9 11 5 68 7 43 3 96 2 72 8 11 6 60 1 68
9 69 0 43 3 12 8 40 1 70 6 74 2 34 5 7 4 30 7 84
7 99 3 27 4 59 5 72 2 9 6 45 0 49 9 63 1 69 8 60
0 75 3 17 2 91 7 50 8 65 5 37 9 98 1 90 6 71 4 8
9 72 1 9 3 31 6 49 2 91 8 62 7 90 0 72 5 98 4 38
4 35 2 63 5 25 6 35 8 21 7 47 3 52 1 80 0 39 9 74
2 68 5 24 9 58 8 52 0 5 6 20 3 50 7 57 1 88 4 53

25
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#+++++++++++++++++++++++++++++
# instance la29
#+++++++++++++++++++++++++++++
# Lawrence 20x10 instance (Table 8, instance 4); also called (setc4) or (C4)
20 10
8 14 2 38 7 44 0 76 5 97 3 12 4 75 6 66 9 12 1 29
0 43 2 85 3 82 5 38 4 58 9 89 8 92 6 87 7 69 1 80
3 41 7 7 9 5 0 43 2 14 4 8 5 61 1 84 8 66 6 48
2 42 3 74 4 59 6 41 1 8 9 73 8 43 0 96 5 19 7 97
7 23 8 42 4 37 6 55 0 7 5 5 2 70 9 38 3 75 1 48
8 9 6 43 7 31 4 25 5 73 3 95 0 79 2 72 9 60 1 56
1 7 5 21 8 53 6 16 4 94 0 97 3 78 2 64 7 86 9 31
2 65 6 59 7 85 1 33 4 30 8 44 0 61 3 86 9 63 5 32
6 45 2 44 5 61 8 93 1 30 7 90 9 84 4 11 3 16 0 60
4 47 7 36 8 31 1 49 3 20 2 28 6 52 9 35 5 11 0 32
2 77 4 10 9 68 5 17 0 85 1 84 8 20 6 49 7 74 3 34
0 17 5 7 1 85 3 29 2 17 4 76 6 59 8 71 9 13 7 48
6 87 4 39 8 43 7 11 2 15 3 32 5 64 0 19 1 39 9 16
5 33 3 99 6 32 4 91 8 82 2 92 9 99 7 57 1 83 0 8
3 91 5 39 2 69 8 27 7 7 6 21 1 38 9 62 4 88 0 48
2 67 7 80 3 24 0 88 4 18 1 44 8 45 9 64 5 80 6 38
9 59 3 72 6 47 4 40 7 21 5 43 0 51 8 52 1 24 2 15
3 70 2 31 6 20 8 76 1 40 7 43 0 32 5 88 9 5 4 77
4 47 5 64 9 85 3 49 7 58 1 26 0 32 8 80 2 14 6 94
5 59 2 96 0 5 7 79 8 34 4 75 3 26 6 9 9 23 1 11

25
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#+++++++++++++++++++++++++++++
# instance la30
#+++++++++++++++++++++++++++++
# Lawrence 20x10 instance (Table 8, instance 5); also called (setc5) or (C5)
20 10
6 32 3 16 1 33 8 12 7 70 4 10 9 75 0 82 5 88 2 20
8 39 4 81 3 91 5 56 9 69 1 45 6 59 0 86 2 36 7 68
3 84 2 57 7 41 5 73 4 81 0 88 8 38 9 17 6 83 1 5
4 20 5 6 2 15 8 19 1 30 0 94 6 45 7 17 3 18 9 88
9 24 6 49 5 16 4 11 3 60 7 5 8 63 1 25 2 15 0 45
1 86 8 50 2 77 6 54 9 48 0 93 3 32 7 92 5 45 4 71
5 86 6 90 3 78 9 88 2 57 0 32 7 57 8 86 4 71 1 39
2 59 3 18 9 31 4 41 7 20 5 83 8 65 0 54 6 94 1 69
3 47 4 79 6 76 0 59 1 72 2 8 9 30 5 73 7 57 8 84
0 59 2 89 4 10 7 45 3 8 5 54 6 88 8 20 9 7 1 62
5 63 6 9 4 77 3 37 2 5 8 13 9 79 1 24 7 10 0 82
0 74 1 32 2 61 7 53 4 92 9 20 8 10 3 5 6 45 5 23
2 85 9 51 0 61 5 99 4 37 6 94 1 98 8 65 3 33 7 75
0 51 3 24 5 8 6 30 7 12 8 23 2 7 4 17 9 35 1 81
1 71 5 42 8 68 2 31 6 29 3 63 4 65 9 70 7 27 0 93
1 28 5 38 4 51 7 70 2 33 8 78 9 45 3 90 6 54 0 72
0 18 2 90 4 25 6 92 8 85 5 35 7 29 1 81 9 80 3 59
5 67 2 96 1 38 4 86 0 97 3 94 7 86 6 35 9 82 8 45
2 92 8 51 4 59 6 52 5 8 9 70 1 75 3 54 7 60 0 33
3 98 7 80 5 78 0 82 2 7 9 89 1 69 4 51 8 79 6 62

35
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#+++++++++++++++++++++++++++++
# instance la31
#+++++++++++++++++++++++++++++
# Lawrence 30x10 instance (Table 9, instance 1); also called (setd1) or (D1)
30 10
4 21 7 26 9 16 2 34 3 55 8 52 5 95 6 71 1 21 0 53
8 77 5 98 1 42 7 66 2 31 3 39 6 77 9 79 4 55 0 12
2 64 4 92 3 34 1 19 8 62 6 54 7 43 0 83 9 79 5 37
0 93 8 24 3 69 7 38 5 77 2 87 4 60 6 41 1 87 9 83
9 77 0 44 4 96 8 79 6 75 2 98 5 25 3 17 7 43 1 49
3 76 2 35 5 28 0 95 7 95 4 61 8 35 1 7 6 9 9 10
1 91 7 27 8 50 3 16 4 28 5 59 6 52 0 46 2 59 9 43
1 45 7 71 2 39 0 87 8 14 6 54 3 41 9 43 5 9 4 20
2 37 3 26 4 33 9 42 0 78 6 89 7 8 8 66 1 28 5 33
1 74 0 69 5 84 3 27 9 81 7 45 8 69 2 94 6 78 4 96
5 76 7 32 6 18 0 20 3 87 2 17 9 25 4 24 1 31 8 81
9 97 8 90 5 28 7 86 0 58 1 72 2 23 6 76 3 99 4 45
9 48 5 27 6 67 7 62 4 98 0 42 1 46 8 27 3 48 2 17
9 80 3 19 5 28 1 12 4 94 6 63 7 98 8 50 0 80 2 50
2 50 1 41 4 61 8 79 5 14 9 72 7 18 3 55 6 37 0 75
9 22 5 57 4 75 2 14 7 65 3 96 1 71 0 47 8 79 6 60
3 32 2 69 4 44 1 31 9 51 0 33 6 34 5 58 7 47 8 58
8 66 7 40 2 17 0 62 9 38 5 8 6 15 3 29 1 44 4 97
3 50 2 58 6 21 4 63 7 57 8 32 5 20 9 87 0 57 1 39
4 20 6 67 1 85 2 90 7 70 0 84 8 30 5 56 3 61 9 15
6 29 0 82 4 18 3 38 7 21 8 50 1 23 5 84 2 45 9 41
3 54 9 37 6 62 5 16 0 52 8 57 4 54 2 38 7 74 1 52
4 79 1 61 8 11 0 81 7 89 6 89 5 57 3 68 9 81 2 30
9 24 1 66 4 32 3 33 8 8 2 20 6 84 0 91 7 55 5 20
3 54 2 64 6 83 9 40 7 8 0 7 4 19 5 56 1 39 8 7
1 6 4 74 0 63 2 64 9 15 6 42 7 98 8 61 5 40 3 91
1 80 3 75 0 26 2 87 9 22 7 39 8 24 4 75 6 44 5 6
5 8 3 79 6 61 1 15 0 12 7 43 8 26 9 22 2 20 4 80
1 36 0 63 7 10 4 22 3 96 5 40 9 5 8 18 6 33 2 62
4 8 8 15 2 64 3 95 1 96 6 38 7 18 9 23 5 64 0 89

35
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#+++++++++++++++++++++++++++++
# instance la32
#+++++++++++++++++++++++++++++
# Lawrence 30x10 instance (Table 9, instance 2); also called (setd2) or (D2)
30 10
6 89 1 58 4 97 2 44 8 77 3 5 0 9 5 58 9 96 7 84
7 31 2 81 9 73 4 15 1 87 5 39 8 57 0 77 3 85 6 21
2 48 5 71 0 40 3 70 1 49 6 22 4 10 8 34 7 80 9 82
4 11 6 72 7 62 0 55 2 17 5 75 3 7 1 91 9 35 8 47
0 64 6 71 4 12 1 90 2 94 3 75 9 20 8 15 5 50 7 67
2 29 6 93 3 68 5 93 1 57 8 77 0 52 9 7 4 58 7 70
4 26 3 27 1 63 5 6 6 87 7 56 8 48 9 36 0 95 2 82
1 8 7 76 3 76 4 30 6 84 9 78 8 41 0 36 2 36 5 15
3 13 8 29 0 75 2 81 1 78 5 88 4 54 9 40 7 13 6 82
0 52 2 6 3 6 5 82 6 64 9 88 8 54 4 54 7 32 1 26
8 62 1 35 4 72 7 69 0 62 5 32 9 5 3 61 2 67 6 93
2 78 3 11 7 82 4 7 1 72 8 64 9 90 0 85 5 88 6 63
7 50 4 28 3 35 1 66 2 27 8 49 9 11 6 88 5 31 0 44
4 62 5 39 0 76 2 14 6 56 3 97 1 7 7 69 9 66 8 47
6 47 2 41 0 64 7 58 9 57 8 93 3 69 5 53 1 18 4 79
7 76 9 81 0 76 6 61 4 77 8 26 2 74 5 22 1 58 3 78
6 30 8 72 3 43 0 65 1 16 4 92 5 95 9 29 2 99 7 64
1 35 3 74 5 16 4 85 0 7 2 81 6 86 8 61 9 35 7 34
1 97 7 43 4 72 6 88 5 17 0 43 8 94 3 64 9 22 2 42
7 99 2 84 8 99 5 98 1 20 6 31 3 74 0 92 9 23 4 89
8 32 0 6 4 55 5 19 9 81 1 81 7 40 6 9 3 37 2 40
6 15 2 70 8 25 1 46 9 65 4 64 7 21 0 77 5 65 3 55
8 31 7 84 5 37 3 24 2 85 4 89 9 29 1 44 0 40 6 83
4 80 0 8 9 41 5 59 7 56 3 38 2 30 8 97 6 77 1 80
9 59 0 91 3 50 8 80 1 17 6 40 2 71 5 56 4 88 7 7
7 36 3 58 4 54 5 77 2 8 6 9 0 45 9 10 1 29 8 96
0 28 3 92 2 73 7 27 8 86 5 87 9 96 1 98 6 99 4 70
9 32 1 95 3 85 6 81 2 41 8 39 7 92 0 59 5 56 4 52
4 93 2 12 5 22 6 27 8 45 7 69 3 60 1 7 0 88 9 49
2 61 5 26 9 71 8 44 0 21 6 82 3 68 7 33 1 84 4 99

35
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#+++++++++++++++++++++++++++++
# instance la33
#+++++++++++++++++++++++++++++
# Lawrence 30x10 instance (Table 9, instance 3); also called (setd3) or (D3)
30 10
2 38 4 75 9 12 5 97 0 76 1 29 8 14 6 66 7 44 3 12
0 43 5 38 1 80 3 82 2 85 4 58 6 87 8 92 9 89 7 69
6 48 4 8 8 66 7 7 2 14 3 41 5 61 0 43 1 84 9 5
5 19 3 74 6 41 4 59 8 43 2 42 9 73 7 97 1 8 0 96
3 75 5 5 2 70 8 42 7 23 6 55 1 48 9 38 4 37 0 7
2 72 7 31 3 95 0 79 4 25 1 56 8 9 9 60 5 73 6 43
9 31 3 78 6 16 4 94 7 86 5 21 0 97 8 53 1 7 2 64
3 86 2 65 6 59 8 44 1 33 7 85 0 61 5 32 9 63 4 30
4 11 5 61 9 84 3 16 7 90 1 30 0 60 8 93 2 44 6 45
5 11 2 28 0 32 7 36 8 31 4 47 3 20 6 52 9 35 1 49
5 17 3 34 6 49 1 84 0 85 8 20 7 74 9 68 4 10 2 77
8 71 5 7 3 29 1 85 4 76 6 59 2 17 0 17 9 13 7 48
1 39 9 16 4 39 6 87 7 11 3 32 2 15 0 19 5 64 8 43
5 33 8 82 2 92 1 83 6 32 3 99 9 99 4 91 0 8 7 57
7 7 0 48 9 62 4 88 6 21 5 39 8 27 3 91 1 38 2 69
9 64 8 45 3 24 7 80 2 67 4 18 6 38 0 88 5 80 1 44
2 15 3 72 4 40 7 21 8 52 0 51 9 59 1 24 6 47 5 43
4 77 7 43 1 40 2 31 8 76 6 20 5 88 3 70 9 5 0 32
2 14 7 58 9 85 5 64 1 26 6 94 0 32 3 49 8 80 4 47
9 23 1 11 8 34 4 75 7 79 3 26 2 96 0 5 6 9 5 59
0 75 2 20 8 10 3 66 6 43 7 37 1 9 9 83 4 68 5 52
8 54 1 26 4 79 7 88 6 84 0 6 2 54 9 59 3 28 5 42
4 56 9 29 3 36 0 40 6 86 8 68 2 69 7 23 5 62 1 16
7 53 1 5 6 17 9 59 2 59 8 78 3 64 0 82 4 13 5 12
9 7 6 62 7 90 5 83 1 85 3 69 0 16 4 81 2 58 8 66
7 24 2 65 1 69 5 42 9 82 6 82 0 83 3 46 8 72 4 33
1 10 8 27 7 43 5 20 4 71 9 65 2 73 6 99 0 24 3 64
9 35 3 92 0 38 5 35 7 30 8 45 2 8 4 82 1 34 6 21
5 23 7 84 9 7 4 85 8 60 1 15 2 52 6 94 3 83 0 6
2 70 6 29 8 27 9 80 4 6 7 39 1 79 0 28 3 66 5 66

35
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#+++++++++++++++++++++++++++++
# instance la34
#+++++++++++++++++++++++++++++
# Lawrence 30x10 instance (Table 9, instance 4); also called (setd4) or (D4)
30 10
2 51 7 59 1 35 5 73 9 65 0 27 6 13 3 81 8 32 4 74
4 64 7 33 5 75 2 33 8 10 0 28 3 38 6 53 9 49 1 55
6 83 1 23 2 72 3 7 9 72 0 6 4 39 5 52 8 90 7 21
3 82 1 23 2 93 4 78 6 88 7 53 9 28 8 65 5 21 0 61
4 41 6 12 9 12 3 77 1 70 7 24 0 81 5 73 2 62 8 6
4 98 3 28 6 42 9 72 0 15 8 15 5 94 2 33 1 51 7 99
0 32 8 22 9 96 4 15 6 78 3 31 5 7 1 94 2 23 7 86
7 93 2 97 3 43 5 73 0 24 8 68 9 88 1 42 4 35 6 72
2 14 0 44 8 13 5 67 1 63 3 49 7 5 4 17 6 85 9 66
7 82 9 15 3 72 4 26 0 8 1 68 6 21 8 45 2 99 5 27
4 93 6 23 0 51 8 54 3 49 1 96 2 56 9 36 5 53 7 52
8 60 0 14 4 70 9 55 1 23 5 83 3 38 2 24 7 37 6 48
0 62 7 15 8 69 9 23 1 82 6 26 4 45 5 33 3 12 2 37
6 72 1 9 7 15 5 28 8 92 9 12 0 59 3 64 4 87 2 73
0 50 1 14 7 90 5 46 3 71 4 48 2 80 9 61 8 24 6 44
0 22 9 94 5 16 3 73 2 54 8 54 4 46 1 97 6 61 7 75
9 55 3 67 6 77 4 30 7 6 1 32 8 47 5 93 2 6 0 40
1 30 3 98 7 79 0 22 6 79 2 7 8 36 9 36 5 9 4 92
8 37 7 72 2 52 4 31 1 82 9 54 5 7 6 82 3 73 0 49
1 73 3 83 7 45 2 76 4 43 9 29 0 35 5 92 8 39 6 28
2 58 0 26 1 48 8 52 7 34 6 96 5 70 4 98 3 80 9 94
1 70 8 23 5 26 4 14 6 90 2 93 3 21 0 42 7 18 9 36
4 28 6 76 7 25 0 17 1 84 2 67 8 87 3 43 9 88 5 84
7 30 3 91 8 52 4 80 0 21 5 8 9 37 2 15 6 12 1 92
1 28 4 7 7 46 6 92 2 77 3 15 9 69 8 54 0 47 5 39
9 50 5 44 2 64 8 38 4 93 6 33 7 75 0 41 1 24 3 5
7 94 0 17 6 87 2 21 8 92 9 28 1 61 4 63 3 34 5 77
3 72 8 98 9 5 4 28 2 9 5 95 6 64 1 43 0 50 7 96
0 85 2 85 8 39 1 98 7 24 3 71 5 60 4 55 9 22 6 35
3 78 6 49 2 46 1 11 0 90 5 20 9 34 7 6 4 70 8 74

35
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#+++++++++++++++++++++++++++++
# instance la35
#+++++++++++++++++++++++++++++
# Lawrence 30x10 instance (Table 9, instance 5); also called (setd5) or (D5)
30 10
0 66 2 84 3 26 7 29 9 94 6 98 8 7 5 98 1 45 4 43
3 32 0 97 6 55 2 88 8 93 9 88 1 20 4 50 7 17 5 5
4 43 3 68 8 47 9 68 1 57 6 20 5 81 2 60 7 94 0 62
1 57 5 40 0 78 6 9 2 49 9 17 3 32 4 30 8 87 7 77
0 52 4 30 3 48 5 48 1 26 9 17 6 93 8 97 7 49 2 89
7 95 0 33 1 5 6 17 5 70 3 57 4 34 2 61 8 62 9 39
7 97 5 92 1 31 8 5 2 79 4 5 3 67 0 5 9 78 6 60
2 79 4 6 7 20 8 45 6 34 3 24 9 26 5 68 1 16 0 46
7 58 9 50 2 19 8 93 6 49 3 25 5 85 4 50 0 93 1 26
9 81 6 71 5 7 1 39 2 16 8 42 0 71 4 84 3 56 7 99
8 9 0 86 9 6 3 71 6 97 5 85 4 16 2 42 7 81 1 81
4 72 3 24 0 30 8 56 2 43 1 61 7 82 6 40 5 59 9 43
9 43 1 13 6 70 7 93 0 95 8 12 4 15 2 78 5 97 3 14
0 14 6 26 1 71 3 46 8 80 5 31 4 37 9 27 7 92 2 67
2 12 0 43 5 96 6 7 3 45 7 20 1 13 9 29 4 60 8 33
1 78 5 50 6 84 0 42 8 84 4 30 9 76 2 57 7 87 3 59
4 49 7 50 1 15 8 13 0 93 6 50 9 32 5 59 3 10 2 35
1 25 0 47 7 60 8 33 4 53 5 37 9 73 2 22 3 87 6 79
0 84 6 83 1 71 5 68 9 89 8 11 3 60 4 50 2 33 7 97
1 14 0 38 6 88 5 5 4 77 7 92 8 24 2 73 9 52 3 71
7 62 9 19 6 38 3 15 8 64 2 64 4 8 1 61 0 19 5 33
2 33 5 46 4 74 0 56 6 84 9 83 8 19 7 8 3 32 1 97
4 50 3 71 6 50 2 97 9 8 0 17 7 19 8 92 5 54 1 52
8 32 1 79 3 97 5 38 9 49 4 76 6 76 0 56 2 78 7 54
5 13 3 5 2 25 0 86 1 95 9 28 6 78 8 24 7 10 4 39
7 48 2 59 0 20 9 7 5 31 6 97 1 89 4 32 3 25 8 41
5 87 0 18 9 48 2 43 1 30 6 97 7 47 8 65 3 69 4 27
6 71 5 20 8 20 1 78 3 39 0 17 7 50 2 44 9 42 4 38
0 50 9 42 3 72 5 7 1 77 7 58 4 78 2 89 6 70 8 36
3 32 9 95 2 13 0 73 6 97 8 24 4 49 5 57 1 68 7 94

20
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#+++++++++++++++++++++++++++++
# instance la36
#+++++++++++++++++++++++++++++
# Lawrence 15x15 instance (Table 10, instance 1); also called (seti1) or (I1)
15 15
4 21 3 55 6 71 14 98 10 12 2 34 9 16 1 21 0 53 7 26 8 52 5 95 12 31 11 42 13 39
11 54 4 83 1 77 7 64 8 34 14 79 12 43 0 55 3 77 6 19 9 37 5 79 10 92 13 62 2 66
9 83 5 77 2 87 7 38 4 60 12 98 0 93 13 17 6 41 10 44 3 69 11 49 8 24 1 87 14 25
5 77 0 96 9 28 6 7 4 95 13 35 7 35 8 76 11 9 12 95 2 43 1 75 10 61 14 10 3 79
10 87 4 28 8 50 2 59 0 46 11 45 14 9 9 43 6 52 7 27 1 91 13 41 3 16 5 59 12 39
0 20 2 71 4 78 13 66 3 14 12 8 14 42 6 28 1 54 9 33 11 89 8 26 7 37 10 33 5 43
8 69 4 96 12 17 0 69 7 45 11 31 6 78 10 20 3 27 13 87 1 74 5 84 14 76 2 94 9 81
4 58 13 90 11 76 3 81 7 23 9 28 1 18 2 32 12 86 8 99 14 97 0 24 10 45 6 72 5 25
5 27 1 46 6 67 8 27 13 19 10 80 2 17 3 48 7 62 11 12 14 28 4 98 0 42 9 48 12 50
11 37 5 80 4 75 8 55 7 50 0 94 9 14 6 41 14 72 3 50 10 61 13 79 2 98 12 18 1 63
7 65 3 96 0 47 4 75 12 69 14 58 10 33 1 71 9 22 13 32 5 57 8 79 2 14 11 31 6 60
1 34 2 47 3 58 5 51 4 62 6 44 9 8 7 17 10 97 8 29 11 15 13 66 12 40 0 44 14 38
3 50 7 57 13 61 5 20 11 85 12 90 2 58 4 63 10 84 1 39 9 87 6 21 14 56 8 32 0 57
9 84 7 45 5 15 14 41 10 18 4 82 11 29 2 70 1 67 3 30 13 50 6 23 0 20 12 21 8 38
9 37 10 81 11 61 14 57 8 57 0 52 7 74 6 62 12 30 1 52 2 38 13 68 4 54 3 54 5 16

20
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#+++++++++++++++++++++++++++++
# instance la37
#+++++++++++++++++++++++++++++
# Lawrence 15x15 instance (Table 10, instance 2); also called (seti2) or (I2)
15 15
5 19 6 64 11 73 9 13 2 84 14 88 3 85 10 41 12 53 13 80 1 66 7 46 8 59 4 25 0 62
1 67 3 74 7 41 2 57 14 52 0 14 9 64 8 84 6 78 5 47 13 28 4 84 10 63 12 26 11 46
6 97 8 95 0 64 9 38 10 59 12 95 2 17 11 65 13 93 3 10 5 73 1 11 4 85 14 46 7 67
10 23 12 49 3 32 4 66 2 43 0 60 8 41 7 61 13 70 9 49 11 17 6 90 1 85 14 99 5 85
9 98 8 57 3 73 6 9 0 73 7 7 1 98 4 13 13 41 5 40 11 85 10 37 2 68 14 79 12 17
11 66 7 53 5 86 6 40 0 14 3 19 13 96 4 95 2 54 10 84 12 97 8 16 14 52 1 76 9 87
4 77 2 55 9 42 5 74 14 91 13 33 10 16 12 54 0 18 3 87 7 60 8 13 6 33 1 33 11 61
6 41 5 39 11 82 9 64 14 47 10 28 7 78 13 49 1 79 4 58 2 92 3 79 12 6 0 69 8 76
11 21 5 42 9 91 2 28 0 52 6 88 12 76 13 86 10 23 1 35 7 52 4 91 3 47 14 82 8 24
11 42 1 93 3 95 13 45 9 28 14 77 0 84 10 8 7 45 4 70 5 37 6 86 12 64 8 67 2 38
4 97 12 81 1 58 7 84 5 58 0 9 11 87 3 5 2 44 13 85 6 89 10 77 9 96 14 39 8 77
12 80 1 21 10 10 5 73 8 70 6 49 2 31 13 34 4 40 11 22 0 15 14 82 3 57 9 71 7 48
2 17 7 62 5 75 9 35 1 91 14 50 3 7 10 64 13 75 12 94 0 55 6 72 8 47 4 11 11 90
11 93 6 57 1 71 12 70 9 93 5 20 3 15 13 77 10 58 0 12 2 67 8 68 14 7 7 29 4 52
13 76 3 27 4 26 9 36 11 8 10 36 0 95 8 48 2 82 6 87 5 6 1 63 7 56 12 36 14 15

20
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#+++++++++++++++++++++++++++++
# instance la38
#+++++++++++++++++++++++++++++
# Lawrence 15x15 instance (Table 10, instance 3); also called (seti3) or (I3)
15 15
1 26 12 67 0 72 6 74 14 13 8 43 4 30 3 19 10 23 11 85 5 98 13 43 2 38 7 8 9 75
14 42 0 39 4 55 12 46 1 19 8 93 9 80 5 26 10 7 6 50 11 57 3 73 2 9 7 61 13 72
3 96 4 99 12 34 6 60 7 43 14 7 13 12 8 11 11 70 10 43 0 91 1 68 9 11 5 68 2 72
14 63 11 45 4 49 1 74 8 27 0 30 9 72 7 9 12 99 13 60 5 69 6 69 2 84 3 40 10 59
2 91 0 75 9 98 3 17 10 72 13 31 11 9 14 98 7 50 5 37 4 8 8 65 1 90 12 91 6 71
11 35 6 80 4 39 3 62 14 74 5 72 10 35 9 25 1 49 8 52 7 63 2 90 13 21 12 47 0 38
14 19 7 57 10 24 13 91 3 50 0 5 11 49 12 18 9 58 5 24 8 52 1 88 2 68 6 20 4 53
7 77 14 72 5 35 11 90 4 68 6 18 3 9 0 33 8 60 10 18 12 10 13 60 1 38 2 99 9 15
13 6 8 86 2 40 9 79 12 92 11 23 5 89 10 95 6 91 7 72 0 80 1 60 3 56 4 51 14 23
1 46 6 28 5 34 11 77 4 47 0 10 14 49 8 77 10 48 7 24 12 8 2 72 13 55 9 29 3 40
10 22 4 89 12 79 0 7 9 15 1 6 11 30 6 38 5 11 8 52 3 20 7 5 14 9 2 20 13 28
5 73 14 56 2 37 3 22 13 25 6 58 1 8 7 93 4 88 8 17 12 9 11 69 10 71 9 85 0 55
9 85 14 58 3 46 8 64 2 49 6 37 1 33 4 30 5 26 0 20 13 74 10 77 12 99 11 56 7 21
10 17 3 24 4 89 5 15 11 60 1 42 8 98 2 64 13 92 0 63 7 52 12 54 6 75 14 23 9 38
3 8 5 17 11 56 7 93 14 26 9 62 6 7 10 88 0 97 1 7 2 43 8 29 13 35 12 87 4 57

20
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#+++++++++++++++++++++++++++++
# instance la39
#+++++++++++++++++++++++++++++
# Lawrence 15x15 instance (Table 10, instance 4); also called (seti4) or (I4)
15 15
10 51 14 43 7 80 4 18 6 38 3 24 2 67 12 15 11 24 13 72 8 45 5 80 9 64 1 44 0 88
6 40 9 88 10 77 5 59 11 20 3 52 8 70 0 40 4 32 13 76 12 43 7 31 2 21 14 5 1 47
0 32 3 49 10 5 5 64 7 58 8 80 6 94 11 11 1 26 13 26 14 59 9 85 4 47 12 96 2 14
5 23 6 9 0 75 12 37 11 43 2 79 4 75 3 34 7 20 13 10 14 83 10 68 9 52 8 66 1 9
12 69 9 59 3 28 14 62 13 36 1 26 6 84 11 16 8 54 5 42 2 54 0 6 10 40 7 88 4 79
13 78 12 53 11 17 5 29 4 82 2 23 9 12 8 64 1 86 7 59 6 5 3 68 14 59 10 13 0 56
10 83 13 46 9 7 12 65 11 69 6 62 0 16 2 58 8 66 5 83 7 90 14 42 4 81 3 69 1 85
7 73 10 71 8 64 6 10 9 20 11 99 4 24 14 65 5 82 3 72 12 43 1 82 13 27 2 24 0 33
4 82 1 34 3 92 2 8 0 38 8 45 6 21 5 35 12 52 9 35 11 15 14 23 10 6 13 83 7 30
2 84 5 7 9 66 10 6 4 28 13 27 6 79 7 70 0 85 1 94 3 60 14 80 12 39 8 66 11 29
3 44 6 58 13 14 8 65 1 72 5 14 12 52 4 21 9 25 0 5 11 51 7 61 14 55 10 42 2 36
14 43 10 72 5 78 11 12 12 17 0 46 9 27 6 51 2 63 1 79 8 79 7 91 4 49 13 26 3 93
7 49 0 49 4 71 5 78 9 44 10 41 12 91 13 84 8 91 6 21 11 47 14 28 3 61 2 70 1 93
3 25 4 85 0 66 2 45 10 95 12 21 8 84 5 24 9 53 7 67 6 91 11 11 13 32 1 30 14 89
3 92 7 93 0 99 1 40 10 37 12 69 5 66 6 57 14 22 9 44 8 73 13 97 11 18 2 69 4 41

20
instances/la40 Normal file
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#+++++++++++++++++++++++++++++
# instance la40
#+++++++++++++++++++++++++++++
# Lawrence 15x15 instance (Table 10, instance 5); also called (seti5) or (I5)
15 15
9 65 10 28 4 74 12 33 2 51 14 75 5 73 8 32 6 13 3 81 1 35 7 59 13 38 11 55 0 27
0 64 1 53 11 83 2 33 4 6 9 52 14 72 8 7 13 90 12 21 6 23 3 10 10 39 5 49 7 72