It's worse: Pr[correct output | hard input] = 0, even though they estimate that Pr[correct output | random input] ~ 1. This means that you can't, for example, a

It's worse: Pr[correct output | hard input] = 0, even though they estimate that Pr[correct output | random input] ~ 1. This means that you can't, for example, amplify your success probability by repeating the algorithm a bunch of times and taking the majority vote.