cool problem
answer I think. time to check
only for n=7
i canāt smile for them at all without physically moving my hands to my face and forming a smile
oh oops I missed the obvious solution that I found earlier because I forgot about it
I can smile! Just not well on command
but nyaaaaaaaaaaa mostly success (I would hope Iād have caught that error if actually taking it (I had literally verified that case so probably))
ok time to read their solution
it took me like 2 minutes to understand what this question was asking
I misinterpreted it at first as well
i moved from my chair to my bed and my heart is pounding from excertion
these are in the same room
well obviously 1 because like. the 0 vector and some shit. donāt think 2 is possible, but 3 might be? would have to finagle and i should already be asleep but
more than 3 feels like it should be impossible but thereās probably some bitch-ass case
ok their solution is what I came up with (though I didnāt write it all out and would probably have wrote it worse)
theres something heavy on my bed and i canāt move it
or i guess only for n = 7! and 1 i assume
7! or 7
i would NOT get this question!
i know that thereās a 7-dimensional version of the cross product that exists for some reason but i assume thatās unrelated
working through the logic in my head again I see thereās a minor detail I missed but it doesnāt change the overall idea (would still need to figure it out to prove it tho)
zug is a better putnam taker than me
Sample Size: 13
NYAAAAAAAAAAAAAA so false
I picked this problem because it looked nicer