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push@a,@r=/./g}{print$s{-1+map{$u{$_}||=$a[$_]+$s{$g-1}for
grep$a[$_]*!$s{$_},$g+@r,$g-!!($g%@r),$g-@r*($g>=@r),++$g*!!($g
%@r);($g)=sort{$u{$a}-$u{$b}}keys%u;$s{$g}=delete$u{$g}}@a}

# problem description says "resembles a square"
push@a,/./g}{print$s{-1+map{$u{$_}||=$a[$_]+$s{$g-1}for
grep$a[$_]*!$s{$_},$g+$.,$g-!!($g%$.),$g-$.*($g>=$.),++$g*!!($g
%$.);($g)=sort{$u{$a}-$u{$b}}keys%u;$s{$g}=delete$u{$g}}@a}