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Do you see the symmetry in the solution to this problem?
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August 17th, 2024
The cannibals and missionaries river crossing problem is a well known recreational math problem dating to the 19th century (before political correctness). Link
Spoiler Alert!
The solution has a nice symmetry that nobody ever seems to mention. The middle move has a missionary and cannibal crossing the river to go from position MMCC/MC to position MC/MMCC. Do your see anything interesting about this? If you had written down the previous moves, do you see how this would enable you to immediately solve the problem?
Keep in mind that at any point in the problem, if you do the previous moves in reverse order and in the reverse direction, you would end up back at the starting point.
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