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Oct 18, 2021 at 15:23 comment added Steve Just a quick note that I didn't start the "next step" referred to in the final spoiler block - I have many other tasks this week, so although I'll certainly revisit this problem if a full solution isn't posted in the meantime, it probably won't be for a while.
Oct 14, 2021 at 12:43 history edited Steve CC BY-SA 4.0
Expanded thoughts towards a proof, with the given magic square proven unreachable, but other candidates still seeming plausible.
Oct 13, 2021 at 15:57 history edited Steve CC BY-SA 4.0
added 92 characters in body
Oct 13, 2021 at 14:52 history edited Steve CC BY-SA 4.0
Further thoughts, which may help towards further analysis (either proving my main program wrong, or allowing a manual proof to be better constructed)
Oct 13, 2021 at 14:18 history edited Steve CC BY-SA 4.0
A couple of minor tidy-ups, and added a non-answer section to gather thoughts so far towards how it might be solved "properly"
Oct 12, 2021 at 9:06 history edited Steve CC BY-SA 4.0
Added TL/DR summary, and fixed some earlier editing errors.
Oct 11, 2021 at 16:36 history undeleted Steve
Oct 11, 2021 at 16:36 history edited Steve CC BY-SA 4.0
Updated ready for undeletion following much more tweaks to the search program than I'd ever envisaged.
Oct 7, 2021 at 6:49 history deleted Steve via Vote
Oct 6, 2021 at 6:54 history edited Steve CC BY-SA 4.0
Further update - less progress than expected at last update, so will delete answer within 24 hours if no further progress.
Oct 4, 2021 at 9:13 history edited Steve CC BY-SA 4.0
Found another significant bug - fixed, so running again...
Oct 1, 2021 at 21:43 history answered Steve CC BY-SA 4.0