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propssolns.cgi
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propssolns.cgi
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#!/usr/local/bin/perl -w
$cmd='/usr/lib/sendmail';
$q='0=1';
#read (STDIN, $q, $ENV{'CONTENT_LENGTH'});
@pairs = split(/&/, $q);
foreach $k (@pairs) {
($a, $b) = split(/=/, $k);
$hash{$a}=$b;
}
@keys=keys(%hash);
@values=values(%hash);
$file = 'hr.dat';
open (FILE, "<$file") || die "Can't open $file!";
$hr = <FILE>;
chop($hr);
$file = 'spaces.dat';
open (FILE, "<$file") || die "Can't open $file!";
@spaces = <FILE>;
chop(@spaces);
$file = 'props.dat';
open (FILE, "<$file") || die "Can't open $file!";
@props = <FILE>;
chop(@props);
$file = 'bpsbits.dat';
open (FILE, "<$file") || die "Can't open $file!";
@psbits = <FILE>;
$file = 'bopbits.dat';
open (FILE, "<$file") || die "Can't open $file!";
@opbits = <FILE>;
$file = 'dssbits.dat';
open (FILE, "<$file") || die "Can't open $file!";
@dssbits = <FILE>;
close FILE;
&send_mail;
PREPARSE:
$k=$ret=0;
if ($#keys==-1) {
$soln=$realsoln=1;
for ($k=0;$k<=$#spaces;++$k) {$solns[$k]=1}
goto HTML;
}
while ($k<=$#keys && $ret==0) {
$a=$values[$k];$b=$props[$keys[$k]];
$j=$k+1;
while ($j<=$#keys && $ret==0) {
$c=$values[$j];$d=$props[$keys[$j]];
$x=ord(substr($dssbits[$keys[$k]],$keys[$j],1))-48;
if ($a==1 && $c==1 && $x==2) {
$ret=1;
$comment="Contradiction!<br> $b implies
NOT($d).\n";
}
elsif ($a==1 && $c==1 && ($x==3 || $x==15)) {
$ret=1;
$comment="Redundancy!<br> $b implies $d.\n";
}
elsif ($a==1 && $c==1 && ($x==4 || $x==14)) {
$ret=1;
$comment="Redundancy!<br> $d implies $b.\n";
}
if ($a==0 && $c==0 && $x==5) {
$ret=1;
$comment="Contradiction!<br> NOT($b) implies
$d.\n";
}
elsif ($a==0 && $c==0 && ($x==4 || $x==14)) {
$ret=1;
$comment="Redundancy!<br> NOT($b) implies
NOT($d).\n";
}
elsif ($a==0 && $c==0 && ($x==3 || $x==15)) {
$ret=1;
$comment="Redundancy!<br> NOT($d) implies
NOT($b).\n";
}
if ($a==0 && $c==1 && ($x==4 || $x==14)) {
$ret=1;
$comment="Contradiction!<br> $d implies $b.\n";
}
elsif ($a==0 && $c==1 && $x==2) {
$ret=1;
$comment="Redundancy!<br> $d implies
NOT($b).\n";
}
elsif ($a==0 && $c==1 && $x==5) {
$ret=1;
$comment="Redundancy!<br> NOT($b) implies $d.\n";
}
if ($a==1 && $c==0 && ($x==3 || $x==15)) {
$ret=1;
$comment="Contradiction!<br> $b implies $d.\n";
}
elsif ($a==1 && $c==0 && $x==2) {
$ret=1;
$comment="Redundancy!<br> $b implies
NOT($d).\n";
}
elsif ($a==1 && $c==0 && $x==5) {
$ret=1;
$comment="Redundancy!<br> NOT($d) implies $b.\n";
}
++$j;
}
++$k;
}
if ($ret==1) {goto HTML}
$k=0;$succmul=1;
while ($k<=$#keys && $succmul==1) {
$a=ord(substr($opbits[23],$keys[$k],1))-48;
$b=ord(substr($opbits[49],$keys[$k],1))-48;
$v=$values[$k];
if ($v==1 && $a==6) {++$k;next}
if ($v==1) {
if ($a==4) {
push(@kemul,$keys[$k]);
push(@vamul,$v);
}
else {
$succmul=0;
}
}
if ($v==0 && $a==7) {++$k;next}
if ($v==0) {
if ($b==4) {
push(@kemul,$keys[$k]);
push(@vamul,$v);
}
else {
$succmul=0;
}
}
++$k;
}
$k=0;$succadd=1;
while ($k<=$#keys && $succadd==1) {
$a=ord(substr($opbits[24],$keys[$k],1))-48;
$b=ord(substr($opbits[50],$keys[$k],1))-48;
$v=$values[$k];
if ($v==1 && $a==6) {++$k;next}
if ($v==1) {
if ($a==4) {
push(@keadd,$keys[$k]);
push(@vaadd,$v);
}
else {
$succadd=0;
}
}
if ($v==0 && $a==7) {++$k;next}
if ($v==0) {
if ($b==4) {
push(@keadd,$keys[$k]);
push(@vaadd,$v);
}
else {
$succadd=0;
}
}
++$k
}
@xkeys=@keys;@xvalues=@values;
$flagmul=$flagadd=$solnmul=$solnadd=0;
$soln=$realsoln=$maybesoln=$extsolns=0;
SOLNS:
for ($k=0;$k<=$#spaces;++$k) {
if (defined($solns[$k]) && $solns[$k] != 2 && $solns[$k] != 0) {next}
$maybe=$stop=$j=0;
$w=$gw=$lec=$gc=$gec=$lc=0;
while ($j<=$#xkeys && $stop==0) {
$v=ord(substr($psbits[$xkeys[$j]],$k,1))-48;
if ($v<4) {$maybe=1}
if ($v==4 && $xvalues[$j]==0) {$solns[$k]=0;$stop=1}
if ($v==5 && $xvalues[$j]==1) {$solns[$k]=0;$stop=1}
if ($v>6) {
if ($v==7) {if ($xvalues[$j]==1) {$w=1} else {$gw=1}}
if ($v==8) {if ($xvalues[$j]==1) {$lec=1} else {$gc=1}}
if ($v==9 || $v==16) {if ($xvalues[$j]==1) {$gec=1} else {$lc=1}}
if ($v==10) {if ($xvalues[$j]==1) {$w=1} else {$gc=1}}
if ($v==11 || $v==15) {if ($xvalues[$j]==1) {$lc=1} else {$gec=1}}
if ($v==12) {if ($xvalues[$j]==1) {$gc=1} else {$lec=1}}
if ($v==13) {if ($xvalues[$j]==1) {$gc=1} else {$w=1}}
if ($v==14) {if ($xvalues[$j]==1) {$gw=1} else {$w=1}}
if ($w*($gw+$gc)>0) {$solns[$k]=0;$stop=1}
if ($lc*$gec>0) {$solns[$k]=0;$stop=1}
if ($gc*($lec+$lc)>0) {$solns[$k]=0;$stop=1}
if ($lc>0) {$maybe=1}
if ($w*$gec>0) {$maybe=1}
if ($gw*$lec>0) {$maybe=1}
}
++$j;
}
if ($stop==0) {
if ($maybe==1 && $flagmul==0 && $flagadd==0) {$solns[$k]=2; $maybesoln=1}
elsif ($maybe==0) {
$tag[$k]=0;
if ($flagmul==0 && $flagadd==0) {
$solns[$k]=1;
$soln=1;
if ($k<$hr+1) {$realsoln=1}
}
elsif ($flagmul==1 && $flagadd==0) {
if ($solns[$k]==2) {$solns[$k]=5}
elsif ($solns[$k]==0) {$solns[$k]=7}
else {$solns[$k]=3}
$solnmul=1;
}
elsif ($flagadd==1) {
if ($solns[$k]==2) {$solns[$k]=6}
elsif ($solns[$k]==0) {$solns[$k]=8}
else {$solns[$k]=4}
$solnadd=1;
}
if ($w>0) {$tag[$k]=1}
elsif ($gc>0) {$tag[$k]=6}
elsif ($lec*$gec>0) {$tag[$k]=3}
elsif ($gw*$gec>0) {$tag[$k]=6}
elsif ($gw>0) {$tag[$k]=5}
elsif ($lec>0) {$tag[$k]=2}
elsif ($gec>0) {$tag[$k]=4}
}
}
}
if ($succmul==1 && $flagmul==0 && $soln==0 && $#kemul<$#keys) {
@xkeys=@kemul;@xvalues=@vamul;$flagmul=1;
goto SOLNS;
}
if ($succadd==1 && $flagadd==0 && $soln==0 && $solnmul==0 && $#keadd<$#keys) {
@xkeys=@keadd;@xvalues=@vaadd;$flagadd=1;
goto SOLNS;
}
COMMONPROPS:
if ($soln==1) {
for ($k=0;$k<=$#props;++$k) {
if ($props[$k] eq " ") {next}
$stop=0;
for ($j=0;$j<=$#keys;++$j) {
$v=ord(substr($dssbits[$keys[$j]],$k,1))-48;
if ($values[$j]==1 && ($v==2 || $v==3 || $v==6 || $v==15)) {$stop=1;last}
if ($values[$j]==0 && ($v==4 || $v==5 || $v==6 || $v==14)) {$stop=1;last}
}
if ($stop==1) {next}
$n=$y=$m=$o=0;
$i=0;
while ($i<=$#spaces && $stop==0) {
if ($solns[$i]==1) {
$v=ord(substr($psbits[$k],$i,1))-48;
if ($v==0) {$m=1}
elsif ($v==4) {$y=1}
elsif ($v==5) {$n=1}
elsif ($v==7) {
if ($tag[$i]==1) {$y=1}
elsif ($tag[$i]>4) {$n=1}
else {$stop=1}
}
elsif ($v==8) {
if ($tag[$i]>0 && $tag[$i]<4) {$y=1}
elsif ($tag[$i]==6) {$n=1}
else {$stop=1}
}
elsif ($v==9 || $v==16) {
if ($tag[$i]>2 && $tag[$i] != 5) {$y=1}
else {$stop=1}
}
elsif ($v==10) {
if ($tag[$i]==1) {$y=1}
elsif ($tag[$i]==6) {$n=1}
else {$stop=1}
}
elsif ($v==11 || $v==15) {
if ($tag[$i]>2 && $tag[$i] != 5) {$n=1}
else {$stop=1}
}
elsif ($v==12) {
if ($tag[$i]==6) {$y=1}
elsif ($tag[$i]>0 && $tag[$i]<4) {$n=1}
else {$stop=1}
}
elsif ($v==13) {
if ($tag[$i]==6) {$y=1}
elsif ($tag[$i]==1) {$n=1}
else {$stop=1}
}
elsif ($v==14) {
if ($tag[$i]>4) {$y=1}
elsif ($tag[$i]==1) {$n=1}
else {$stop=1}
}
else {$o=1}
}
if ($n==1 && $y==1) {$stop=1}
++$i;
}
COMMONPROPSREDUCTION:
if ($stop==0) {
if ($n==1 && $m==1 && $o==0) {
$ignore=$i=0;
while ($ignore==0 && $i<=$#commonmaybeno) {
$x=ord(substr($dssbits[$commonmaybeno[$i]],$k,1))-48;
if ($x==4 || $x==14) {$ignore=1}
if ($x==3 || $x==15) {splice(@commonmaybeno,$i,1);redo if
defined($commonmaybeno[$i])}
++$i;
}
$i=0;
while ($ignore==0 && $i<=$#commonmaybeyes) {
$x=ord(substr($dssbits[$commonmaybeyes[$i]],$k,1))-48;
if ($x==2) {$ignore=1}
if ($x==5) {splice(@commonmaybeyes,$i,1);redo if
defined($commonmaybeyes[$i])}
++$i;
}
if ($ignore==0) {push(@commonmaybeno,$k)}
}
if ($y==1 && $m==1 && $o==0) {
$ignore=$i=0;
while ($ignore==0 && $i<=$#commonmaybeno) {
$x=ord(substr($dssbits[$commonmaybeno[$i]],$k,1))-48;
if ($x==5) {$ignore=1}
if ($x==2) {splice(@commonmaybeno,$i,1);redo if
defined($commonmaybeno[$i])}
++$i;
}
$i=0;
while ($ignore==0 && $i<=$#commonmaybeyes) {
$x=ord(substr($dssbits[$commonmaybeyes[$i]],$k,1))-48;
if ($x==3 || $x==15) {$ignore=1}
if ($x==4 || $x==14) {splice(@commonmaybeyes,$i,1);redo if
defined($commonmaybeyes[$i])}
++$i;
}
if ($ignore==0) {push(@commonmaybeyes,$k)}
}
if ($n+$y+$o==0) {push(@commonmaybemaybe, $k)}
if ($y+$m+$o==0 && $n==1) {
$ignore=$i=0;
while ($ignore==0 && $i<=$#commonno) {
$x=ord(substr($dssbits[$commonno[$i]],$k,1))-48;
if ($x==4 || $x==14) {$ignore=1}
if ($x==3 || $x==15) {splice(@commonno,$i,1);redo if defined($commonno[$i])}
++$i;
}
$i=0;
while ($ignore==0 && $i<=$#commonyes) {
$x=ord(substr($dssbits[$commonyes[$i]],$k,1))-48;
if ($x==2) {$ignore=1}
if ($x==5) {splice(@commonyes,$i,1);redo if defined($commonyes[$i])}
++$i;
}
if ($ignore==0) {push(@commonno,$k)}
}
if ($n+$m+$o==0 && $y==1) {
$ignore=$i=0;
while ($ignore==0 && $i<=$#commonno) {
$x=ord(substr($dssbits[$commonno[$i]],$k,1))-48;
if ($x==5) {$ignore=1}
if ($x==2) {splice(@commonno,$i,1);redo if defined($commonno[$i])}
++$i;
}
$i=0;
while ($ignore==0 && $i<=$#commonyes) {
$x=ord(substr($dssbits[$commonyes[$i]],$k,1))-48;
if ($x==3 || $x==15) {$ignore=1}
if ($x==4 || $x==14) {splice(@commonyes,$i,1);redo if defined($commonyes[$i])}
++$i;
}
if ($ignore==0) {push(@commonyes,$k)}
}
}
}
if ($succmul==1) {
$i=0;
while ($i<=$#commonyes) {
if (ord(substr($opbits[23],$commonyes[$i],1))==55) {
splice(@commonyes,$i,1);redo if defined($commonyes[$i])}
++$i;
}
$i=0;
while ($i<=$#commonmaybeyes) {
if (ord(substr($opbits[23],$commonmaybeyes[$i],1))==55) {
splice(@commonmaybeyes,$i,1);redo if defined($commonmaybeyes[$i])}
++$i;
}
$i=0;
while ($i<=$#commonno) {
if (ord(substr($opbits[23],$commonno[$i],1))==54) {
splice(@commonno,$i,1);redo if defined($commonno[$i])}
++$i;
}
$i=0;
while ($i<=$#commonmaybeno) {
if (ord(substr($opbits[23],$commonmaybeno[$i],1))==54) {
splice(@commonmaybeno,$i,1);redo if defined($commonmaybeno[$i])}
++$i;
}
$i=0;
while ($i<=$#commonmaybemaybe) {
if (ord(substr($opbits[23],$commonmaybemaybe[$i],1))==55) {
push(@commonmaybeno,$commonmaybemaybe[$i]);
splice(@commonmaybemaybe,$i,1);
redo if defined($commonmaybemaybe[$i]);
}
++$i;
}
$i=0;
while ($i<=$#commonmaybemaybe) {
if (ord(substr($opbits[23],$commonmaybemaybe[$i],1))==54) {
push(@commonmaybeyes,$commonmaybemaybe[$i]);
splice(@commonmaybemaybe,$i,1);
redo if defined($commonmaybemaybe[$i]);
}
++$i;
}
}
if ($succadd==1) {
$i=0;
while ($i<=$#commonyes) {
if (ord(substr($opbits[24],$commonyes[$i],1))==55) {
splice(@commonyes,$i,1);redo if defined($commonyes[$i])}
++$i;
}
$i=0;
while ($i<=$#commonmaybeyes) {
if (ord(substr($opbits[24],$commonmaybeyes[$i],1))==55) {
splice(@commonmaybeyes,$i,1);redo if defined($commonmaybeyes[$i])}
++$i;
}
$i=0;
while ($i<=$#commonno) {
if (ord(substr($opbits[24],$commonno[$i],1))==54) {
splice(@commonno,$i,1);redo if defined($commonno[$i])}
++$i;
}
$i=0;
while ($i<=$#commonmaybeno) {
if (ord(substr($opbits[24],$commonmaybeno[$i],1))==54) {
splice(@commonmaybeno,$i,1);redo if defined($commonmaybeno[$i])}
++$i;
}
$i=0;
while ($i<=$#commonmaybemaybe) {
if (ord(substr($opbits[24],$commonmaybemaybe[$i],1))==55) {
push(@commonmaybeno,$commonmaybemaybe[$i]);
splice(@commonmaybemaybe,$i,1);
redo if defined($commonmaybemaybe[$i]);
}
++$i;
}
$i=0;
while ($i<=$#commonmaybemaybe) {
if (ord(substr($opbits[24],$commonmaybemaybe[$i],1))==54) {
push(@commonmaybeyes,$commonmaybemaybe[$i]);
splice(@commonmaybemaybe,$i,1);
redo if defined($commonmaybemaybe[$i]);
}
++$i;
}
}
}
HTML:
print "Content-type: text/html\n\n";
print "<html><head><title>Solution Spaces</title></head><body>\n";
print "<center><b><font size=+1>
<a href = http://www.umanitoba.ca/cgi-bin/math/bell/props.cgi>Property Selection</a>
<a href = http://www.umanitoba.ca/cgi-bin/math/bell/structs.cgi> Structure Selection</a>
</font></b></center>\n";
print "<b>\n";
for ($k=0; $k<=$#keys; ++$k) {
if ($values[$k]==1) {$x=$props[$keys[$k]];print "$x ";}
}
print "<br>\n";
for ($k=0; $k<=$#keys; ++$k) {
if ($values[$k]==0) {$x=$props[$keys[$k]];print "Not ($x) ";}
}
print "</b><hr>\n";
if ($ret==1) {
print "<center><h2>$comment";
print "<br>Try Again!!</h2></center>\n";
print "<center><b><font size=+1>
<a href = http://www.umanitoba.ca/cgi-bin/math/bell/props.cgi>Property Selection</a>
</font></b></center>\n";
print "</body></html>\n";
exit;
}
if ($soln==0 && $maybesoln==0) {
print "<center><b>NO BASIC SOLUTIONS IN THE DATABASE!</b></center>";
}
else {
print "<form action=http://www.umanitoba.ca/cgi-bin/math/bell/propsreveal.cgi method=post>\n";
print "<br><table align=center border=1 cellspacing=1>\n";
# $cnt=0;
# for ($i=0; $i<144; ++$i) {
# if ($i<=$#spaces && ($solns[$i]==1 || $solns[$i]==2)) {
# if ($cnt%5==0) {print "<tr>"}
# if ($solns[$i]==1) {$x="<b>$spaces[$i]</b>"}
# if ($solns[$i]==2) {$x="<i>$spaces[$i]</i>"}
# if ($i<10) {$y='00'.$i} elsif ($i<100) {$y='0'.$i} else {$y=$i}
# print "<td><input type=submit name=space value=$y></td><td bgcolor=beige>$x</td>";
# ++$cnt;
# if ($cnt%5==0) {print "</tr>\n"}
# }
# }
# if ($cnt%5!=0) {print "</tr>\n"}
for ($k=0; $k<=25; ++$k) {
print "<tr>\n";
for ($j=0; $j<=4; ++$j) {
$i=$k+26*$j;
if ($i<=$#spaces) {
if ($solns[$i]==1) {
$x="<b>$spaces[$i]</b>";
}
elsif ($solns[$i]==2) {
$x="<i>$spaces[$i]</i>";
}
else {
$x='';
}
if ($i<10) {
$y='00'.$i;
}
elsif ($i<100) {
$y='0'.$i;
}
else {
$y=$i;
}
if ($x ne '') {
print "<td><input type=submit name=space value=$y></td><td bgcolor=beige>$x</td>";
}
elsif ($solns[$i]==3) {
print "<td> </td><td> </td>";
}
else {
print "<td><input type=submit name=space value=$y></td><td> </td>";
}
}
}
print "</tr>\n";
}
print "</table>";
for ($k=0; $k<=$#keys; ++$k) {
if ($values[$k]==1) {
print "<input type=hidden name=$keys[$k] value=1>\n";
}
elsif ($values[$k]==0) {
print "<input type=hidden name=$keys[$k] value=0>\n";
}
}
print "</form>\n";
if ($soln==0) {
print "<center><b>NOT CLEAR WHETHER THESE ARE SOLUTIONS!</b></center>\n";
}
else {
if ($realsoln==0) {
print "<center><b>NO ZFC BASIC SOLUTIONS IN THE DATABASE!</b></center>\n";
}
}
}
SOLNSMULADD:
if ($soln==0 && $solnmul==1) {
$halt=0;$k=0;
while ($k<=$#spaces && $halt==0) {
if ($solns[$k]==3 || $solns[$k]==5 ||$solns[$k]==7) {$halt=1;$it=$k}
++$k
}
print "<center>Here's a Solution!</center>\n";
print "<center><b>$spaces[$it] x 2^W</b></center>\n";
}
if ($soln==0 && $solnmul==0 && $solnadd==1) {
$halt=0;$k=0;
while ($k<=$#spaces && $halt==0) {
if ($solns[$k]==4 || $solns[$k]==6 ||$solns[$k]==8) {$halt=1;$it=$k}
++$k
}
print "<center>Here's a Solution!</center>\n";
print "<center><b>$spaces[$it] + 1</b></center>\n";
}
EXTPARSE:
if ($soln==1 || ($solnmul==0 && $solnadd==0)) {
$k=$killsum=$killprod=0;
while ($k<=$#keys && ($killsum * $killprod == 0)) {
if ($values[$k]==1) {
$x=substr($opbits[20],$keys[$k],1);
$y=substr($opbits[29],$keys[$k],1);
$a=substr($opbits[15],$keys[$k],1);
$b=substr($opbits[11],$keys[$k],1);
if ($x!=4) {$killsum=1}
elsif ($y==4) {push(@yessum2,$keys[$k])}
else {push(@yessum1,$keys[$k])}
if ($a!=4) {$killprod=1}
elsif ($b==4) {push(@yesprod2,$keys[$k])}
else {push(@yesprod1,$keys[$k])}
}
elsif ($values[$k]==0) {
$x=substr($opbits[46],$keys[$k],1);
$y=substr($opbits[3],$keys[$k],1);
$a=substr($opbits[41],$keys[$k],1);
$b=substr($opbits[37],$keys[$k],1);
if ($x!=4) {$killsum=1}
elsif ($y==4) {push(@nosum2,$keys[$k])}
else {push(@nosum1,$keys[$k])}
if ($a!=4) {$killprod=1}
elsif ($b==4) {push(@noprod2,$keys[$k])}
else {push(@noprod1,$keys[$k])}
}
++$k;
}
}
else {
goto FINITO
}
if ($#yessum2 + $#nosum2 < -1) {$killsum=1}
if ($#yesprod2 + $#noprod2 < -1) {$killprod=1}
EXTSOLNS:
$extsolns=0;
for ($ext=0;$ext<=1;++$ext) {
$killflag=0;$unreal=0;$unrealid=-1;
if ($ext==0) {
if ($killsum==1) {next}
@yes1=@yessum1;
@yes2=@yessum2;
@no1=@nosum1;
@no2=@nosum2;
$add=29;$sum=20;$onesum=46;$twosum=3;
$insert="SUM";$conn=" + ";
}
else {
if ($killprod==1) {last}
@yes1=@yesprod1;
@yes2=@yesprod2;
@no1=@noprod1;
@no2=@noprod2;
$add=11;$sum=15;$onesum=41;$twosum=37;
$insert="PRODUCT";$conn=" x ";
}
@solns=();
@yessolns=();
@nosolns=();
$core=$solns[0]=0;
for ($k=0;$k<=$#spaces;++$k) {
$stop=$j=0;
$w=$gw=$lec=$gc=$gec=$lc=0;
while ($j<=$#yes1 && $stop==0) {
$v=ord(substr($psbits[$yes1[$j]],$k,1))-48;
if ($v<4 || $v==5) {$stop=1}
if ($v>6) {
if ($v==7) {$w=1}
if ($v==8) {$lec=1}
if ($v==9) {$gec=1}
if ($v==10) {$w=1}
if ($v==11) {$lc=1}
if ($v==12) {$gc=1}
if ($v==13) {$gc=1}
if ($v==14) {$gw=1}
if ($v==15) {$lc=1}
if ($v==16) {$gec=1}
if ($lc>0) {$stop=1}
if ($w*($gw+$gc+$gec)>0) {$stop=1}
if ($lec*($gw+$gc)>0) {$stop=1}
}
++$j;
}
if ($stop==0) {
$j=0;
while ($j<=$#no1 && $stop==0) {
$v=ord(substr($psbits[$no1[$j]],$k,1))-48;
if ($v<5) {$stop=1}
if ($v>6) {
if ($v==7) {$gw=1}
if ($v==8) {$gc=1}
if ($v==9) {$lc=1}
if ($v==10) {$gc=1}
if ($v==11) {$gec=1}
if ($v==12) {$lec=1}
if ($v==13) {$w=1}
if ($v==14) {$w=1}
if ($v==15) {$gec=1}
if ($v==16) {$lc=1}
if ($lc>0) {$stop=1}
if ($w*($gw+$gc+$gec)>0) {$stop=1}
if ($lec*($gc+$gw)>0) {$stop=1}
}
++$j;
}
}
if ($stop==0) {
$solns[$core]=$k;
$tag[$core]=0;
if ($w>0) {$tag[$core]=1}
elsif ($gc>0) {$tag[$core]=6}
elsif ($lec*$gec>0) {$tag[$core]=3}
elsif ($gw*$gec>0) {$tag[$core]=6}
elsif ($gw>0) {$tag[$core]=5}
elsif ($lec>0) {$tag[$core]=2}
elsif ($gec>0) {$tag[$core]=4}
++$core;
}
}
if ($core==0) {$killflag=1;goto FINI}
$k=0;
while ($killflag==0 && $k <= $#yes2) {
@dummy = ();
for ($j=0;$j<=$core-1;++$j) {
$v=ord(substr($psbits[$yes2[$k]],$solns[$j],1))-48;
if ($v==4) {push(@dummy,$j)}
if ($v > 6) {
if ($v!=11 && $v!=15 && $tag[$j]==0) {push(@dummy,$j)}
if ($v==7 && $tag[$j]>0 && $tag[$j]<3) {push(@dummy,$j)}
if ($v==8 && $tag[$j]>0 && $tag[$j]<5) {push(@dummy,$j)}
if ($v==9 && $tag[$j]>1) {push(@dummy,$j)}
if ($v==10 && $tag[$j]>0 && $tag[$j]<3) {push(@dummy,$j)}
if ($v==12 && $tag[$j]>3) {push(@dummy,$j)}
if ($v==13 && $tag[$j]>3) {push(@dummy,$j)}
if ($v==14 && $tag[$j]>3) {push(@dummy,$j)}
if ($v==16 && $tag[$j]>1) {push(@dummy,$j)}
}
}
if (defined($dummy[0])) {
$yessolns[$k] = [ @dummy ];
if ($solns[$dummy[0]]>$hr && $unrealid!=$solns[$dummy[0]]) {
$unreal=$unreal+1;
$unrealid=$solns[$dummy[0]];
if ($unreal>1) {$killflag=1}
}
}
else {
$killflag=1;
}
++$k;
}
if ($killflag==1) {goto FINI}
$k=0;
while ($killflag==0 && $k <= $#no2) {
@dummy = ();
for ($j=0;$j<=$core-1;++$j) {
$v=ord(substr($psbits[$no2[$k]],$solns[$j],1))-48;
if ($v==5) {push(@dummy,$j)}
if ($v > 6) {
if ($v!=9 && $v!=16 && $tag[$j]==0) {push(@dummy,$j)}
if ($v==7 && $tag[$j]>3) {push(@dummy,$j)}
if ($v==8 && $tag[$j]>3) {push(@dummy,$j)}
if ($v==10 && $tag[$j]>3) {push(@dummy,$j)}
if ($v==11 && $tag[$j]>1) {push(@dummy,$j)}
if ($v==12 && $tag[$j]>0 && $tag[$j]<5) {push(@dummy,$j)}
if ($v==13 && $tag[$j]>0 && $tag[$j]<3) {push(@dummy,$j)}
if ($v==14 && $tag[$j]>0 && $tag[$j]<3) {push(@dummy,$j)}
if ($v==15 && $tag[$j]>1) {push(@dummy,$j)}
}
}
if (defined($dummy[0])) {
$nosolns[$k] = [ @dummy ];
if ($solns[$dummy[0]]>$hr && $unrealid!=$solns[$dummy[0]]) {
$unreal=$unreal+1;
$unrealid=$solns[$dummy[0]];
if ($unreal>1) {$killflag=1}
}
}
else {
$killflag=1;
}
++$k;
}
if ($killflag==1) {goto FINI}
$extsolns=1;
EXTCOMMONPROPS:
for ($h=0;$h<=1;++$h) {
if ($h==0) {@dummy=@commonmaybeyes} else {@dummy=@commonyes}
$k=0;
while ($k<=$#dummy) {
$killit = 0;
$x=substr($opbits[$onesum],$dummy[$k],1);
if ($x==4) {
$y=substr($opbits[$twosum],$dummy[$k],1);
if ($y==4) {
for ($j=0;$j<=$core-1;++$j) {
$v=ord(substr($psbits[$dummy[$k]],$solns[$j],1))-48;
if ($v==5) {$killit=1; last}
if ($v > 6) {
if ($v!=9 && $v!=16 && $tag[$j]==0) {$killit=1; last}
if ($v==7 && $tag[$j]>3) {$killit=1; last}
if ($v==8 && $tag[$j]>3) {$killit=1; last}
if ($v==10 && $tag[$j]>3) {$killit=1; last}
if ($v==11 && $tag[$j]>1) {$killit=1; last}
if ($v==12 && $tag[$j]>0 && $tag[$j]<5) {$killit=1; last}
if ($v==13 && $tag[$j]<3) {$killit=1; last}
if ($v==14 && $tag[$j]<3) {$killit=1; last}
if ($v==15 && $tag[$j]>1) {$killit=1; last}
}
}
}
else {
$found=1;
foreach $i (@yessolns) {
$l=0; $found=0;
while ($found==0 & $l<=$#$i) {
$v=ord(substr($psbits[$dummy[$k]],$solns[$$i[$l]],1))-48;
if ($v==5) {$found=1}
if ($v > 6) {
if ($v!=9 && $v!=16 && $tag[$$i[$l]]==0) {$found=1}
if ($v==7 && $tag[$$i[$l]]>3) {$found=1}
if ($v==8 && $tag[$$i[$l]]>3) {$found=1}
if ($v==10 && $tag[$$i[$l]]>3) {$found=1}
if ($v==11 && $tag[$$i[$l]]>1) {$found=1}
if ($v==12 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<5) {$found=1}
if ($v==13 && $tag[$$i[$l]]<3) {$found=1}
if ($v==14 && $tag[$$i[$l]]<3) {$found=1}
if ($v==15 && $tag[$$i[$l]]>1) {$found=1}
}
++$l;
}
if ($found==0) {last}
}
if ($found==1) {
foreach $i (@nosolns) {
$l=0; $found=0;
while ($found==0 & $l<=$#$i) {
$v=ord(substr($psbits[$dummy[$k]],$solns[$$i[$l]],1))-48;
if ($v==5) {$found=1}
if ($v > 6) {
if ($v!=9 && $v!=16 && $tag[$$i[$l]]==0) {$found=1}
if ($v==7 && $tag[$$i[$l]]>3) {$found=1}
if ($v==8 && $tag[$$i[$l]]>3) {$found=1}
if ($v==10 && $tag[$$i[$l]]>3) {$found=1}
if ($v==11 && $tag[$$i[$l]]>1) {$found=1}
if ($v==12 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<5) {$found=1}
if ($v==13 && $tag[$$i[$l]]<3) {$found=1}
if ($v==14 && $tag[$$i[$l]]<3) {$found=1}
if ($v==15 && $tag[$$i[$l]]>1) {$found=1}
}
++$l;
}
if ($found==0) {last}
}
}
if ($found==1) {$killit=1}
}
}
if ($killit==1) {splice(@dummy,$k,1);redo if defined($dummy[$k])}
++$k;
}
if ($h==0) {@commonmaybeyes=@dummy} else {@commonyes=@dummy}
}
for ($h=0;$h<=1;++$h) {
if ($h==0) {@dummy=@commonmaybeno} else {@dummy=@commonno}
$k=0;
while ($k<=$#dummy) {
$killit = 0;
$x=substr($opbits[$sum],$dummy[$k],1);
if ($x==4) {
$y=substr($opbits[$add],$dummy[$k],1);
if ($y==4) {
for ($j=0;$j<=$core-1;++$j) {
$v=ord(substr($psbits[$dummy[$k]],$solns[$j],1))-48;
if ($v==4) {$killit=1; last}
if ($v > 6) {
if ($v!=11 && $v!=15 && $tag[$j]==0) {$killit=1; last}
if ($v==7 && $tag[$j]>0 && $tag[$j]<3) {$killit=1; last}
if ($v==8 && $tag[$j]>0 && $tag[$j]<5) {$killit=1; last}
if ($v==9 && $tag[$j]>1) {$killit=1; last}
if ($v==10 && $tag[$j]>0 && $tag[$j]<3) {$killit=1; last}
if ($v==12 && $tag[$j]>3) {$killit=1; last}
if ($v==13 && $tag[$j]>3) {$killit=1; last}
if ($v==14 && $tag[$j]>3) {$killit=1; last}
if ($v==16 && $tag[$j]>1) {$killit=1; last}
}
}
}
else {
$found=1;
foreach $i (@yessolns) {
$l=0; $found=0;
while ($found==0 & $l<=$#$i) {
$v=ord(substr($psbits[$dummy[$k]],$solns[$$i[$l]],1))-48;
if ($v==4) {$found=1}
if ($v > 6) {
if ($v!=11 && $v!=15 && $tag[$$i[$l]]==0) {$found=1}
if ($v==7 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<3) {$found=1}
if ($v==8 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<5) {$found=1}
if ($v==9 && $tag[$$i[$l]]>1) {$found=1}
if ($v==10 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<3) {$found=1}
if ($v==12 && $tag[$$i[$l]]>3) {$found=1}
if ($v==13 && $tag[$$i[$l]]>3) {$found=1}
if ($v==14 && $tag[$$i[$l]]>3) {$found=1}
if ($v==16 && $tag[$$i[$l]]>1) {$found=1}
}
++$l;
}
if ($found==0) {last}
}
if ($found==1) {
foreach $i (@nosolns) {
$l=0; $found=0;
while ($found==0 & $l<=$#$i) {
$v=ord(substr($psbits[$dummy[$k]],$solns[$$i[$l]],1))-48;
if ($v==4) {$found=1}
if ($v > 6) {
if ($v!=11 && $v!=15 && $tag[$$i[$l]]==0) {$found=1}
if ($v==7 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<3) {$found=1}
if ($v==8 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<5) {$found=1}
if ($v==9 && $tag[$$i[$l]]>1) {$found=1}
if ($v==10 && $tag[$$i[$l]]>0 && $tag[$$i[$l]]<3) {$found=1}
if ($v==12 && $tag[$$i[$l]]>3) {$found=1}
if ($v==13 && $tag[$$i[$l]]>3) {$found=1}
if ($v==14 && $tag[$$i[$l]]>3) {$found=1}
if ($v==16 && $tag[$$i[$l]]>1) {$found=1}
}
++$l;
}
if ($found==0) {last}
}
}
if ($found==1) {$killit=1}
}
}
if ($killit==1) {splice(@dummy,$k,1);redo if defined($dummy[$k])}
++$k;
}
if ($h==0) {@commonmaybeno=@dummy} else {@commonno=@dummy}
}
FINI:
if ($killflag==1 || $soln==1) {}
else {
print "<center>AN EXTENDED FINITE $insert SOLUTION</center>\n";
print "<center><b>\n";
foreach $k (@yessolns) {
push(@extended,$solns[$$k[0]]);
}
foreach $k (@nosolns) {
push(@extended,$solns[$$k[0]]);
}
for ($k=0;$k<=$#extended;++$k) {
$j=0;$stop=0;
while ($j<$k && $stop==0) {
if ($extended[$k]==$extended[$j]) {$stop=1}
++$j;
}
if ($stop==0 && $k==0) {print " $spaces[$extended[$k]] "}
if ($stop==0 && $k>0) {print " $conn $spaces[$extended[$k]] "}
}
print "</b></center>\n";
}
}
if ($extsolns==0 && $soln==0) {
print "<center><b>NO EXTENDED SOLUTIONS IN THE DATABASE!</b></center>\n";
}
COMMON:
if ($#commonno>=0 || $#commonyes>=0 || $#commonmaybeyes>=0 || $#commonmaybeno>=0 || $#commonmaybemaybe>=0) {
print "<center><b>COMMON PROPERTIES (NOT SINGLY DERIVABLE) TO <i>ALL</i> SOLUTIONS</b></center>\n";