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submitted 5 months ago* (last edited 5 months ago) by [email protected] to c/[email protected]

I am wondering if manual inspection is the way to go for pt2? Seems almost achievable with some formatting. Anyone been down this road?

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[-] [email protected] 3 points 5 months ago

Yeah - dumped out the input into GraphViz, and then inspected it 'by eye' to get the swaps. Nearly finished in the top 100 in the world, too. Feels like a really bad way to get the solution, though.

If you add eg. 1111 and 1111 and expect 11110, then you'll get an output like 11010 if there's a mistake in "bit 2". Can try all the swaps between x2 / y2 / z2 until you get the "right answer", and then continue. There's only about five different ops for each "bit" of the input, so trying all of them won't take too long.

[-] [email protected] 2 points 5 months ago* (last edited 5 months ago)

Im halfway through doing that, definitely feels wrong though. I'm curious to see if there is a good programatic way of doing it.

Dont you need a pair of broken bits? For mine, bit 6 is broken, because its just x6^y6. So I need to find where the carry bit got swapped to. Or are you suggesting that I swap my bit 6 operation with every other operation until it resolves?

[-] [email protected] 3 points 5 months ago

Every "pair" of bits has the same pattern of AND and XOR, and the previous "carry bit" is passed into the same OR / (XOR + AND) combo to produce an output bit and the next "carry bit". The "whole chain" is nearly right - otherwise your 44 bit inputs wouldn't give a 45 bit output - it's just a few are swapped over. (In my case, anyway - haven't seen any others.) All my swaps were either in the "same column" of GraphViz output, or the next column.

So, yeah. Either "random swaps" with "nearby" outputs, because it's nearly right and you don't need to check further away; or use the fact that this is the well-known pattern for adding two numbers in a CPU's ALU to generate the "correct" sequence, identify which ones are wrong, and output them in alphabetical order.. The answer you need doesn't even require you to pair them up.

this post was submitted on 24 Dec 2024
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