Difference between revisions of "1991 OIM Problems/Problem 1"
(Created page with "== 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...") |
|||
| Line 5: | Line 5: | ||
== Solution == | == 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}} | ||
== See also == | == See also == | ||
https://www.oma.org.ar/enunciados/ibe6.htm | https://www.oma.org.ar/enunciados/ibe6.htm | ||
Revision as of 01:38, 14 December 2023
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.
