I give. As much as I love these puzzles (and bought puzzle books and solved them) I think my brainpower much be lacking because it's just not coming together. I'm probably making too little inferences and taking things too literal (XOR vs NOR).
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You should be able to solve this using only logic. The giveaway ends in 3 days. I might post a hint later if the puzzle turns out to be too hard.
Good luck!
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