Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 128. (September 2007)

K. 128. The starting position of a logical game is shown below:

The pieces marked with arrows are moving. Every piece may move in the direction indicated by the arrow on it: it may either move to the adjoining vacant field or skip to the next field over any piece in the adjoining field, provided that the next field is free. The task is to make the counters marked with the two kinds of arrows exchange places. Draw the sequence of moves to achieve the exchange.

(6 pont)

Deadline expired on October 10, 2007.

Sorry, the solution is available only in Hungarian. Google translation



277 students sent a solution.
6 points:249 students.
5 points:1 student.
3 points:1 student.
0 point:23 students.
Unfair, not evaluated:3 solutions.

Problems in Mathematics of KöMaL, September 2007