Thread: The Tower and the Towns Puzzle
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Old 07-07-2010, 12:00 PM   #35
obs20
Wizard
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Let's give this a try
Spoiler:
The first night they are captive so on the second night

If wise guy A sees 13 then wise guy B sees 0
they go home that second night

Same if wise guy A sees 12 then wise guy B sees 1
they go home that night because wise guy A knows there cannot be 10

Same if Wise guy A sees 11 and wise guy b sees 2
If wise guy A sees 10 then wise guy B sees 3 or 0
because wise guy B knows that if Wise guy A
saw 13 they'd gone home the second night. They go home the third night

If wise guy A sees 9 then wise guy B sees 4 or 1
because wise guy B knows that if Wise guy A
saw 12 they'd gone home. On the third night Wise Guy A knows that wise guy B didn't answer so he now knows that wise guy B saw 4 the go home the fourth night

If wise guy A sees 5 then wise guy B sees 8 or 5
because wise guy B knows that if Wise guy B
saw 8 they'd gone home the forth night. Do he must have seen 5 and they go home the fifth night
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