I need to compare two arrays and then execute addition code depending on whether or not there is a value in @b that does not have a match in @a.

My code thus far is 

my @SupportedPTs = ('Accounting','Dnd','Essay','FITB','Hotspot','Match
+ing','MC','Narrative','SingleAnswer','SelfGradingGeneric','Sketch','S
+tatic','TF');
my @ProblemTypes = ('Accounting','Dnd','test');

my %seen = ();
foreach (@ProblemTypes) {
    $seen{$_} = 1;
}

if (grep ($seen{$_}, @SupportedPTs) ) {
    print "Supported\n";
} else {
    print "Unsupported\n";
}

[download]
This program successfully compares the arrays but returns "Supported" if there is any match in @SupportedPTs for a value in @ProblemTypes. I am having trouble thinking this through. Any help would be appreciated.

In reply to Comparing arrays and returning false if an exception is found by reluctant_techie

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