($h,$w,$k,$p)=glob<>;
@f=map[glob],<>;
$a[0][1]=1;
for$i(0..(1<<$k)-1){
	if(unpack("%b*",pack(V,$i))==$p){
		for$y(0..$w){
			for$x(0..$h){
				$a[$y+1][$x+1]=
				grep(!($i&1<<$_|$f[$_][0]-$x|$f[$_][1]-$y),0..$k-1)?0:
				$a[$y][$x+1]+$a[$y+1][$x];
			}
		}
		if($bv<$a[$w+1][$h+1]){
			$bv=$a[$w+1][$h+1];
			$bi=$i;
		}
	}
}
$,=$/;
print$bv%=1e9+7,map$f[$_][2],grep$bi&1<<$_,0..$k-1;