use utf8;
use strict;
use warnings;
use List::Util qw/reduce/;

my ($n, $w) = split / /, <>;
my @a = split / /, <>;

my %visited;
for (my $bit = 0; $bit < 3**$n; $bit++) {
    
    my $sum = 0;
    my $x = $bit;
    my $key = 0;
    for (my $i = 0; $i < $n; $i++) {
        my $y = $x % 3;
        $x /= 3;

        $sum += $a[$i]   if ($y == 1);
        $sum += $a[$i]/2 if ($y == 2);
        $key |= 1 << $i  if ($y != 0);
    }
    $visited{$key} = 1 if ($sum == $w);
}

my $ans = keys %visited;
print "$ans\n";