KöMaL - Középiskolai Matematikai és Fizikai Lapok
Sign In
Sign Up
 Magyar
Information
Contest
Journal
Articles

 

Problem B. 4734. (October 2015)

B. 4734. Some fields (unit cubes) constituting a cubical lattice of edge 2015 units are infected by an unknown disease. The disease will spread if at least \(\displaystyle t\) fields in some row parallel to any edge of the cube are infected \(\displaystyle (1 \le t \le 2015)\). In that case, every field of that row will become infected in one minute. Én is javaslok egyet: How many fields need to be infected initially in order to

\(\displaystyle a)\) make it possible

\(\displaystyle b)\) be certain

that the infection reaches all fields of the cube?

Proposed by G. Mészáros, Budapest

(6 pont)

Deadline expired on 10 November 2015.


Statistics:

61 students sent a solution.
4 points:12 students.
3 points:10 students.
2 points:14 students.
1 point:15 students.
0 point:8 students.
Unfair, not evaluated:2 solutions.

Our web pages are supported by:   Ericsson   Cognex   Emberi Erőforrás Támogatáskezelő   Emberi Erőforrások Minisztériuma   Nemzeti Tehetség Program    
MTA Energiatudományi Kutatóközpont   MTA Wigner Fizikai Kutatóközpont     Nemzeti
Kulturális Alap   ELTE   Morgan Stanley