1991 OIM Problems/Problem 1
Problem
Each vertex of a cube is assigned the value of +1 or -1, and each face is assigned the product of the values assigned to each vertex. What values can the sum of the 14 numbers thus obtained take?
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
- Note. I actually competed at this event in Argentina when I was in High School representing Puerto Rico. I got partial points because I probably missed one or two of the cases.
~Tomas Diaz. orders@tomasdiaz.com
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
