The Unreasoner

10-19-2015, 09:58 PM

So it turns out there are 1,320 different solutions to the original problem (out of 262,144 possibilities). Which means (if assignments are chosen randomly) you'd expect to be able to get a tattoo 0.503540039% of the time. Not bad (it at least makes search efficient).

Of course, several variables are fixed, and three are irrelevant. So the number of variables you actually have to solve for is 9. Which can take 512 possible forms, and leads to a satisfactory solution 165 times. Which means a 32.2265625% chance of success when randomly choosing only these nine variables [E,F,K,L,M,O,P,Q,R]. Which just shows the importance of reducing the problem when possible.

If you want, I've constructed a truth table you can look at. Simply create a nine-digit binary number with the digits corresponding to the true/false values of [E,F,K,L,M,O,P,Q,R] (true=1,false=0), convert to decimal, then look up the position+1.

Here:

[true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, true, true, true, true, true, true, true, true, false, false, false, false, true, true, false, true, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false, false]

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