There's always hope but with each passing hour it's more and more likely that no one survived. The sea is a cruel mistress. Very sad.
Don’t be so quick to give up. The men and woman on that boat are submariners. The best, most ingenious, and downright sneakiest sailors in that or any other Navy. The rule books say 7 days normal operating routine. But, they’ve been in their bunks, conserving O2 in every way. Much like the astronauts in Apollo XIII their biggest worry is CO2. There are ways to deal with that. Submariners don’t know how to give up!