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    -1, it is definitely possible to be given a problem which is impossible to solve. "Design a brute force password solver which can crack 30 character passwords in under a minute, which needs to run on a Pentium 2 with 256 megs of ram." Commented Dec 7, 2010 at 18:47
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    There are plenty of unsolvable problems. The trick is to know that they are unsolvable very quickly. Preferably before the marketing guy asking you to solve it has finished telling you the problem. Commented Dec 7, 2010 at 20:20
  • @AttackingHobo...that's not even a realistic problem Commented Dec 8, 2010 at 0:05