Use the CYK algorithm to determine whether or not the CFG below recognizes the following strings. Show the filled table associated with each.

S $->$ AB $|$ BC $|$ a

A $->$ CA $|$ c

B $->$ AA $|$ BB $|$ a $|$ c

C $->$ AB $|$ b

$($a$)(10$ pts$)$ bccbcac

$($b$)(10$ pts$)$ ccaabb

PLEASE USE THE FORMAT INCLUDED IN THE PICTURE Use

$\backslash$table$[[$b$,$c$,$c$,$b$,$c$,$a$,$c$],[,,,,,,],[,,,,,,],[,,,,,,],[,,,,,,],[,,,,,,],[,,,,,,],[,,,,,,]]$

b$.$ ccaabb

$\backslash$table$[[$c$,$c$,$a$,$a$,$b$,$b$],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,],[,,,,,]]$