this post was submitted on 26 Oct 2023
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[–] Enkers@sh.itjust.works 20 points 1 year ago* (last edited 1 year ago) (1 children)

therefore we cannot assume that 6001 is exactly half of the total.

Correct, all we can deduce is the bounds:

Let x be the number of spears hoped for.

6000 < x/2 < 6002

12000 < x < 12004

Edit: fixed error

[–] rasensprenger@feddit.de 13 points 1 year ago (1 children)

Less than half and more than half imply strict inequality, so 6000 < x/2 < 6002, so 12001 <= x <= 12003

[–] Enkers@sh.itjust.works 7 points 1 year ago* (last edited 1 year ago)

You're absolutely correct, it should be "<". Since he wished for such an odd number, I wouldn't constrain x to integers though. Maybe he wished for "more than twelve thousand spears"?