>> chris inglis: theoretically, yes.always been an unbreakable code. >> miller: chris inglis is deputy director of the n.s.a. among the areas he supervises are the code-breakers. he says, each summer, 10,000 high school students apply for a few openings. >> inglis: we clear them fully. we give them full access to our problems. we give them problems that we could not solve. and they solve some number of those problems, the principle reason being that they bring a different perspective and audacity to it that we hadn't thought about in all the years of experience that we've brought to bear. >> miller: so you've had occasions where you've given a difficult problem to a high school kid with a top-secret clearance whose come back and said "hey, i think i got this one"? >> inglis: for any given summer, that's more often the rule than the exception. we're always pleasantly surprised. >> miller: while high school kids on summer break may be cracking secret codes, this is still a spy agency that steals secrets, reads emails, and