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Date Array Convolution

by alanonymous (Sexton)
on Nov 03, 2011 at 19:21 UTC ( [id://935755]=perlquestion: print w/replies, xml ) Need Help??

alanonymous has asked for the wisdom of the Perl Monks concerning the following question:

Hello, Perl Monks,

I think I have a fairly easy problem, but I'm having problems approaching it. I've completed the portion of code to read in files and parse out the exact data I need, but now I'm having a problem figuring out to convolute my dates.

Essentially I have two arrays, each of which holds a list of another array that has three values. Here is a super simple example of what I am trying to describe:
@listone = ([010000,010010,2],[010200,010210,5],[012359,020001,3]); @listtwo = ([010005,010015,1],[010207,010211,4]);
The format for the inside array is DDTTTT,DDTTTT,V where DD is a two digit date, TTTT is a 24 hour time value, and V is some decimal value.

I need to combine these arrays into a single list, organized by time that does two special things: ***in overlapping dates/times the lower value is chosen which forces some of the items to be split, and also needs to break the value into two for a change in days.***

The solution to the above example would be an array consisting of the following arrays:
[010000,010004,2] [010005,010015,1] [010200,010206,5] [010207,010211,4] [012359,012359,3] [020000,020001,3]
The solution to the above is easy and straight-forward to do by hand, but this will have to be done for hundreds+ daily, and perl is perfect for it!

***EDIT***

What I'm looking at now is:
@combined = sort {$a->[0] <=> $b->[0]} (@listone,@listtwo); foreach (@combined) { #check for overlapping times and make sure the smallest V time is + listed during the overlap piece #XXXXXXX #break the timespans apart if it covers the crossing of a new day #XXXXXXX }
**********

I'm not looking for a solution per say, but I really need some help with how to approach the problem. I wouldn't say no to a solution though :) Like I said, I've done the ~30 lines of code to get the data to the point where the fun begins, but that's where I'm having problems

Thoughts, anyone?

Thanks!

Replies are listed 'Best First'.
Re: Date Array Convolution
by zentara (Archbishop) on Nov 03, 2011 at 20:00 UTC
    Do the Schwartzian boogy! or here is a typical multifield sort.
    #!/usr/bin/perl -w use strict; my @data; while (<DATA>){ my @dataline = split (/\s+/,$_); print "@dataline\n"; push(@data,\@dataline) } print "\n@data\n\n"; &printarray(\@data); print "\n"; my @data_sorted_by_four_fields = sort { $a->[2] <=> $b->[2] || $a->[0] <=> $b->[0] || $a->[4] <=> $b->[4] || $a->[1] cmp $b->[1] } @data; &printarray( \@data_sorted_by_four_fields ); print "\n"; ###########################################3 # Print the contents of the array sub printarray { my $aref=shift; foreach my $record (@$aref) { for my $i (0..4) { print $record->[$i] . " "; } print "\n"; } } ############################################# __DATA__ 1040564312 z 89 Out 4194077715 1040564322 w 90 Out 4194081727 1040564335 x 94 IN 4194085256 1040564335 y 94 Out 4194085196 1040564312 z 89 In 258381720 1040564322 z 90 In 258385268

    I'm not really a human, but I play one on earth.
    Old Perl Programmer Haiku ................... flash japh
      I think I have the multi-dimensional sorting piece figured out (just sorting by start times) with:
      @combined = sort {$a->[0] <=> $b->[0]} (@listone,@listtwo);
      What I really need help with is the piece that covers those two difficulties I mentioned in the original post. Something like:
      @combined = sort {$a->[0] <=> $b->[0]} (@listone,@listtwo); foreach (@combined) { #check for overlapping times and make sure the smallest V time is + listed during the overlap #XXXXXXX #break the timespans apart if it covers the crossing of a new day #XXXXXXX }
Re: Date Array Convolution
by BrowserUk (Patriarch) on Nov 04, 2011 at 00:37 UTC

    Here's my crack at this interesting and deceptively difficult problem:

    #! perl -slw use strict; use Data::Dump qw[ pp ]; sub dt2int { my( $d, $h, $m ) = unpack '(A2)*', $_[0]; return ( ( $d - 1 ) * 24 + $h ) * 60 + $m; } sub int2dt { sprintf "%02d%02d%02d", int($_[0]/1440)+1, int($_[0]/60)%24, $_[0] +%60; } sub adjacentPairs (&@) { my $code = shift; map { $code->( shift(), $_[0] ); } 1 .. @_; } my @listone = (['010000','010010',2],['010200','010210',5],['012359','020001',3] +); my @listtwo = (['010005','010015',1],['010207','010211',4]); my @res = adjacentPairs{ defined( $_[1] ) && $_[0][4] > $_[1][3] ? [ $_[0][0], int2dt( $_[1][3] - 1 ), $_[0][2] ] : [ @{ $_[0] }[ 0 .. 2 ] ] } sort { $a->[ 3 ] <=> $b->[ 3 ] } map { my $s = dt2int( $_->[ 0 ] ); my $e = dt2int( $_->[ 1 ] ); my @out; while( int( $s / 1440 ) != int( $e / 1440 ) ) { my $newe = ( $s + 1440 ) % 1440; push @out, [ int2dt( $s ), int2dt( $newe ), $_->[2], $s, $newe + ]; $s = $newe +1; } ( @out, [ int2dt( $s ), $_->[1], $_->[2], $s, $e ] ); } @listone, @listtwo; pp \@res; __END__ c:\test>junk33 [ ["010000", "010004", 2], ["010005", "010015", 1], ["010200", "010206", 5], ["010207", "010211", 4], ["012359", "012359", 3], ["020000", "020001", 3], ]

    With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
    Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
    "Science is about questioning the status quo. Questioning authority".
    In the absence of evidence, opinion is indistinguishable from prejudice.
      This is super close to being exactly what I need! I tweaked the input arrays to test the borders of feasibility of inputs and am breaking things now. It is possible for a window to fall entirely within another, and depending on the V value, can change the behavior a little. If the input arrays are, for example:
      my @listone = (['010000','010110',6],['010200','010210',5],['012350',' +020012',3]); my @listtwo = (['010005','010015',1],['010207','010211',4],['012355',' +020003',1]);
      Also, I'm still digesting your code and trying to figure out how it works. Still kinda new to perl :) Thank you for the help!!!
        It is possible for a window to fall entirely within another, and depending on the V value, can change the behavior a little.

        1) T'would've been nice if the example data reflected that; 2) you don't define how the behaviour changes?

        These two input ranges become?:

        2350......0000......0010... 3333333333333333333333 11111111 option 1 - smaller range disappears and the larger becomes 2 ranges 3333333333 333333333333 option 2 - they becomes 4 ranges 3333 11111 1111 333333333 option 3 - other?

        With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
        Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
        "Science is about questioning the status quo. Questioning authority".
        In the absence of evidence, opinion is indistinguishable from prejudice.
Re: Date Array Convolution
by choroba (Cardinal) on Nov 03, 2011 at 21:47 UTC
    Update: The code is wrong. Do not use it. I am trying to write a different one.

    Probably not a clever approach. The border cases might need some tweaking.

    #!/usr/bin/perl use Data::Dumper; use warnings; use strict; sub combine { my %result; while (my $triple = shift) { my ($left, $right, $value) = @$triple; if (not exists $result{$left}{R} or $result{$left}{R} > $value) { $result{$left}{R} = $value; } if (not exists $result{$right}{L} or $result{$right}{L} > $value) { $result{$right}{L} = $value; } } return \%result; } # combine sub dec { my $time = shift; my ($day, $hour, $min) = $time =~ /(..)(..)(..)/; $min--; if ($min < 0) { $min = 59; $hour--; if ($hour < 0) { $hour = 23; $day--; die if ($day < 0); } } return sprintf '%02d%02d%02d', $day, $hour, $min; } # dec sub tangle { my $combined = combine(@_); my @keys = sort keys %$combined; my $value; my @result; my $overlap; for my $i (0 .. $#keys) { if (defined $value) { my $new = $combined->{$keys[$i]}{R}; my $old = $combined->{$keys[$i]}{L}; die if defined $old and $old < $value; if (defined $new) { $overlap++; if ($new < $value) { push @{ $result[-1] }, dec($keys[$i]), $value; push @result, [$keys[$i]]; $value = $new; } } else { $overlap--; if (not $overlap) { push @{ $result[-1] }, $keys[$i], $value; undef $value; } else { my $next = $combined->{$keys[$i+1]}{L}; if ($next > $value) { push @{ $result[-1] }, dec($keys[$i]), $value; push @result, [$keys[$i]]; $value = $next; } } } } else { # not defined $value $value = $combined->{$keys[$i]}{R}; die unless defined $value; push @result, [$keys[$i]]; $overlap++; } } return @result; } # tangle sub daysplit { return map { my ($start, $end, $value) = @$_; my $from = 0 + substr $start, 0, 2; my $to = 0 + substr $end, 0, 2; if ($from < $to) { my $split; my $newfrom = sprintf('%02d', $from) . '2359'; $split = [[$start, $newfrom, $value]]; push @$split, map { [sprintf('%02d', $_) . '0000', sprintf('%02d', $_) . '2359', $value] } $from + 1 .. $to - 1; my $newto = sprintf('%02d', $to) . '0000'; push @$split, [$newto, $end, $value]; @$split; } else { $_; } } @_; } # daysplit my @listone = (['010000','010010',2],['010200','010210',5],['012359',' +020001',3]); my @listtwo = (['010005','010015',1],['010207','010211',4]); my @result = daysplit(tangle(@listone, @listtwo)); print Dumper \@result;

      **Edited**
      1) Your code is awesome, but I understand very little of it.
      2) It works almost perfectly, except in the case of overlapping windows, the times are a little off and I can't figure out why.

      For example with the input:
      my @listone = (['010000','010110',6],['010200','010210',5],['012350',' +020012',3]); my @listtwo = (['010005','010015',1],['010207','010211',4],['012355',' +020003',1]);
      Do you mind adding some comments so I can figure out how you did that?

      Thanks!
        OK, here is the new code I wrote on the underground on my way to work :-) I used OO this time. The second case is your second example input, if your expected output is different, can you show it?
        Update: I read the discussion you had with BrowserUk and tried to accommodate the code appropriately.
        Update2: zero-intervals removed from output.
      I think I finally found a way to break the days apart that's a little different than yours:
      @combined = sort {$a->[0] <=> $b->[0]} (@listone,@listtwo); for ($i=0; $i<scalar(@combined); $i++) { if (substr($combined[$i][0],0,2) != substr($combined[$i][1],0,2)) + { splice(@combined,$i+1,0,[substr($combined[$i][1],0,2)."0000" +,$combined[$i][1],$combined[$i][2]]); $combined[$i][1] = substr($combined[$i][0],0,2)."2359"; } }
      I don't really understand though what you did for the day overlap piece. Do you mind adding comments or explaining the chunks? I'm still kinda new to perl :/

      Thanks for the help!
        Your code works only if the day difference is one. My code should work for two, three and more days.
Re: Date Array Convolution
by BrowserUk (Patriarch) on Nov 04, 2011 at 21:57 UTC

    A completely different approach that turns out to be far simpler and more robust. (Ie. It actually works for all possibilities:)

    In addition, it avoids a bunch of convoluted range comparisons and the need for sorting, whilst producing fully sorted output. A win-win-win for going back to the drawing board.

    #! perl -slw use strict; use Data::Dump qw[ pp ]; sub dhm2int { my( $d, $h, $m ) = unpack '(A2)*', $_[0]; return ( ( $d - 1 ) * 24 + $h ) * 60 + $m; } sub int2dhm { sprintf "%02d%02d%02d", int($_[0]/1440)+1, int($_[0]/60)%24, $_[0] +%60; } #my @listone = (['010000','010010',2],['010200','010210',5],['012359','020001',3] +); #my @listtwo = (['010005','010015',1],['010207','010211',4]); my @listone = (['010000','010110',6],['010200','010210',5],['012350','020012',3] +); my @listtwo = (['010005','010015',1],['010207','010211',4],['012355','020003',1] +); my @expd = map { my $in = $_; my $s = dhm2int( $in->[ 0 ] ); my $e = dhm2int( $in->[ 1 ] ); my @out; while( int( $s / 1440 ) != int( $e / 1440 ) ) { my $newe = ( int( $s / 1440 ) +1 ) * 1440 -1; push @out, [ int2dhm( $s ), int2dhm( $newe ), $in->[2], $s, $n +ewe ]; $s = $newe +1; } ( @out, [ int2dhm( $s ), $in->[1], $in->[2], $s, $e ] ); } @listone, @listtwo; my( @tally, @id ); for my $e ( 0 .. $#expd ) { my $r = $expd[ $e ]; for my $i ( $r->[ 3 ] .. $r->[ 4 ] ) { if( !defined( $tally[ $i ] ) or $tally[ $i ] > $r->[ 2 ] ) { $tally[ $i ] = $r->[ 2 ]; $id[ $i ] = $e; } } } my @res; my $i = 0; while( $i < $#id ) { ++$i until defined $id[ $i ]; my $id = $id[ $i ]; my $start = $i; ++$i while defined( $id[ $i ] ) and $id[ $i ] == $id; my $end = $i - 1; push @res, [ int2dhm( $start ), int2dhm( $end ), $tally[ $start ] +]; } pp \@res; __END__ C:\test>935755.pl [ ["010000", "010004", 2], ["010005", "010015", 1], ["010200", "010206", 5], ["010207", "010211", 4], ["012359", "012359", 3], ["020000", "020001", 3], ] C:\test>935755.pl [ ["010000", "010004", 2], ["010005", "010015", 1], ["010200", "010206", 5], ["010207", "010211", 4], ["012359", "012359", 3], ["020000", "020001", 3], ]

    With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
    Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
    "Science is about questioning the status quo. Questioning authority".
    In the absence of evidence, opinion is indistinguishable from prejudice.
      Sweet jesus and sweet sassy molassy, you *Sir* are a gentleman AND a scholar.

      Next step is for me to a) apply it to the thousands of data points, and b) figure out how it works!

      You guys at perlmonks are amazing at figuring code out and helping come up with awesome solutions, but for newbie programmers, it's hard to learn from your examples because they're complex and have no comments! If you don't mind, could you help me understand a little more how your code works, maybe in PM? I hate taking without understanding the how and why behind the scenes. Or maybe I could just ask a few questions?

      As an aside, I figured out a solution as well, but it took me about 15 hours, was ~250 lines of code and went through every type conditional overlap case (ie, a is within b, b is within a, a begins overlap with b, b begins overlap with a, a and b start together b ends first, a and b start together a ends first, a and b end together a starts first, a and b end together b starts first .... a lot of 'if thens', and for each of those a case where a is bigger and a case where b is bigger). Your solution is so much more elegant and ... win.

      Thank you for the help!!!

      -Alan
        figure out how it works!

        Okay. if you look at the code you'll see it essentially consists of 3 consecutive loops:

        1. my @expd = map{ ... } @inputs

          This takes an input like ["010000", "010110", 6] and adds two columns to it to make ["010000", "010110", 6, 0, 70].

          Ie. It takes each of the day/hour/minute values and converts them to an integer (dhm2int()) and appends them. This gets all the messy string handling out the way up front and simplifiies all comparisons.

          Also, within that map there is a while loop. Its job is to check to see if the range being integerised spans a day boundary. If it does, it breaks the range into two (or more) ranges as required.

        2. The second block consists of two nested for loops that construct two parallel arrays @tally, @id from @expd.
          1. The outer loop runs over the list of ranges.
          2. The inner loop runs from start to the end of the range.
          3. At each position, if the current value at that position on the "tally stick", @tally is undefined, or greater than value of the current range, then replace it with the value from the current range, and record the id(index) of the current range in the parallel array @id

          At the end of the (double) loop @tally looks like this:

          6 6 6 6 6 1 1 1 1 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 +6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 + 6 5 5 5 5 5 5 5 4 4 + 4 4 4 3 3 3 3 3 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3

          And @id looks like this:

          0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 1 1 1 1 1 1 1 5 5 + 5 5 5 2 2 2 2 2 6 6 6 6 6 7 7 7 7 3 3 3 3 3 3 3 3 3

          As you can see, we now have a list of the lowest value available for every minute of the period, and the index of the associated range that contributed it. Though the latter information is actually now redundant. Any minute that is not covered by any range has both value and ID as undef and shows up blank above.

          All we need to do is walk our way down the tally stick and convert the start and end index minute of each contiguous range of values back to the corresponding day/hour/minute (int2dhm()) and we can construct the required list of output ranges, in sorted order, without any complex comparison logic.

        3. And that's what the final while loop does.

        With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
        Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
        "Science is about questioning the status quo. Questioning authority".
        In the absence of evidence, opinion is indistinguishable from prejudice.
Re: Date Array Convolution
by alanonymous (Sexton) on Nov 10, 2011 at 06:11 UTC
    BrowserUK and Choroba,

    This is the solution I've finally ended up with that works exactly as it should. I think structurally I borrowed more from Browser, but I wanted to thank you both for the help and code examples. Here are the two input files I am using as examples:

    number1.mrg
    DTG/291505ZDEC11// XXX/XXX/XXX/301200ZDEC11/021200ZJAN12// /301226/301227/2/2/001.4/ /302350/310005/2f2f2f2f/g4g4g4g4g4g4g4g4g4g4g4g4g4g4g4g/012.4/ /312357/010003/2f2f2f2f/g4g4g4g4g4g4g4g4g4g4g4g4g4g4g4g/012.7/ // /
    number1.dat
    DTG/291500ZDEC11// XXX/XXX/XXX/301200ZDEC11/031200ZJAN12// /301222/301232/234/4234/011.0/ /301240/301250/asdf/fdsa/011.3/ /302340/302355/9j9js9j9j9jf9sjfd/9j9sfj9df9323/010.0/ /302359/310002/kfjakdjfakdfasdf/salkdjfaklsdjflkasjd/008.1/ /312359/010001/f333333/f3333333333/002.2/ // /
    And then the code for the project:
    # # this assumes the time span on input docs will be 27 days or less # this assumes that the current year is less than 2100 # this asssumes that no single closure will cover more than 24 hour +s # this assumes that the date validity range between two input fi +les always match # use strict; use warnings; use Time::Local; sub fmon { if ($_[0] =~ /^\d{6}\wJAN\d{2}$/i) {return "00";} if ($_[0] =~ /^\d{6}\wFEB\d{2}$/i) {return "01";} if ($_[0] =~ /^\d{6}\wMAR\d{2}$/i) {return "02";} if ($_[0] =~ /^\d{6}\wAPR\d{2}$/i) {return "03";} if ($_[0] =~ /^\d{6}\wMAY\d{2}$/i) {return "04";} if ($_[0] =~ /^\d{6}\wJUN\d{2}$/i) {return "05";} if ($_[0] =~ /^\d{6}\wJUL\d{2}$/i) {return "06";} if ($_[0] =~ /^\d{6}\wAUG\d{2}$/i) {return "07";} if ($_[0] =~ /^\d{6}\wSEP\d{2}$/i) {return "08";} if ($_[0] =~ /^\d{6}\wOCT\d{2}$/i) {return "09";} if ($_[0] =~ /^\d{6}\wNOV\d{2}$/i) {return "10";} if ($_[0] =~ /^\d{6}\wDEC\d{2}$/i) {return "11";} } sub m2d { my @t = localtime($_[0]*60); return sprintf "%02d%02d%02d", $t[3], $t[2], $t[1]; } my ($d,$t); foreach (<*>) { $d = $_ if (/\.dat$/i); $t = $_ if (/\.mrg$/i); } my (@dl,@tl); if (open(D, $d)) {@dl = <D>; close(D); print "Found $d\n";} else {prin +t "Error: missing XXX.\n";} if (open(T, $t)) {@tl = <T>; close(T); print "Found $t\n";} else {prin +t "Error: missing YYY.\n";} my (@big,@n,@m); for (@dl,@tl) { chomp($_); if (/\w{4}\d{2}\/\d{6}\w{4}\d{2}\/\/$/) {@n = split(/\//);} if (/^\/\d{6}\/\d{6}\//) { @m = split(/\//); my ($t1,$t2); if (substr($m[1],0,2) < substr($n[3],0,2)) { if (fmon($n[3]) eq 11) { $t1 = timelocal(0,substr($m[1],4,2),substr($m[1],2,2), +substr($m[1],0,2),fmon($n[4]),"20".substr($n[4],10,2))/60; } else { $t1 = timelocal(0,substr($m[1],4,2),substr($m[1],2,2), +substr($m[1],0,2),fmon($n[4]),"20".substr($n[3],10,2))/60; } } else { $t1 = timelocal(0,substr($m[1],4,2),substr($m[1],2,2),subs +tr($m[1],0,2),fmon($n[3]),"20".substr($n[3],10,2))/60; } if (substr($m[2],0,2) < substr($n[3],0,2)) { if (fmon($n[3]) eq 11) { $t2 = timelocal(0,substr($m[2],4,2),substr($m[2],2,2), +substr($m[2],0,2),fmon($n[4]),"20".substr($n[4],10,2))/60; } else { $t2 = timelocal(0,substr($m[2],4,2),substr($m[2],2,2), +substr($m[2],0,2),fmon($n[4]),"20".substr($n[3],10,2))/60; } } else { $t2 = timelocal(0,substr($m[2],4,2),substr($m[2],2,2),subs +tr($m[2],0,2),fmon($n[3]),"20".substr($n[3],10,2))/60; } push @big,[$t1,$t2,$m[5]]; } } my %values = (); for my $e (0 .. $#big) { my $l = $big[$e]; for my $min ($l->[0] .. $l->[1]) { if ((!exists $values{$min}) or ($values{$min} > $l->[2])) { $values{$min} = $l->[2]; } } } print "...processing...\n"; my @res1; my $s = timelocal(0,substr($n[3],4,0),substr($n[3],2,0),substr($n[3],0 +,2),fmon($n[3]),"20".substr($n[3],10,2))/60; my $e = timelocal(0,substr($n[4],4,0),substr($n[4],2,0),substr($n[4],0 +,2),fmon($n[4]),"20".substr($n[4],10,2))/60; while ($s < $e) { ++$s until exists $values{$s} or $s == $e; my ($val,$start,$end); if ($s != $e) { $val = $values{$s}; $start = $s; ++$s while exists $values{$s} and $values{$s} == $val; $end = $s - 1; push @res1,[m2d($start),m2d($end),$val]; } } my @res2; foreach (@res1) { if (substr(@$_[0],0,2) == substr(@$_[1],0,2) ) { push @res2,[@$_[0],@$_[1],@$_[2]]; } else { push @res2,[@$_[0],substr(@$_[0],0,2)."2359",@$_[2]]; push @res2,[substr(@$_[1],0,2)."0000",@$_[1],@$_[2]]; } } open (C,'>CDA.txt'); my @last = ("","",""); print C "To do later: ... a lot of specific formatting work(easy)\n"; foreach (@res2) { if (substr($last[0],0,2) ne substr(@$_[0],0,2)) { print C "\n"; } print C @$_[0]," ",@$_[1]," ",@$_[2],"\n"; $last[0] = @$_[0]; } close(C); print "Complete.\n"; print "\nPress Enter to exit.\n"; my $end = <STDIN>;
    The way I see this being used is thrown in a directory with the mrg and dat files (with LOTS and LOTS of times listed), run, and the resulting CDA file has the correct data. Do you guys see any glaring errors? In testing it, I can't find any errors yet... I think it should work for leap years, all month and year rollovers, etc. I tried to be conniving in my input test!

    I will say though, that through this, I've learned a ton (and my regex look better!).

    Thanks!!

    -Alan

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