Difference between revisions of "1991 OIM Problems/Problem 1"

Line 6: Line 6:
 
== Solution ==
 
== Solution ==
  
 
+
[[File:1991_OIM_p1.png|center]]
  
 
* 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.
 
* 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.

Revision as of 00:38, 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

1991 OIM p1.png
  • 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.

See also

https://www.oma.org.ar/enunciados/ibe6.htm