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K. 176. Alex is playing the game called Bloxorz. It involves rolling a rectangular block on a board with a lattice of unit squares. The base of the block is a unit square and its height is two units. The block always covers one or two fields of the board. The first Figure shows the allowed moves of the block.

The second Figure shows the board. Initially, the block is standing on the black field. Move the block to the field marked X, in a standing position. Draw the successive intermediate positions of the block (indicating the order with numbers), through which it gets to the field marked X. Keep marking the positions on the same diagram until the next position overlaps with some previous position. Then draw a new diagram and continue to show further positions. Find a solution that consists of less than 30 steps.

(6 points)

This problem is for grade 9 students only.

Deadline expired on 10 November 2008.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás. Egy lehetséges lépéssorozatot mutat be az ábra. A hasáb az 1-gyel jelölt pozícióból indul, és a 25-tel jelölt pozíció a végállomás.

Statistics on problem K. 176.
 201 students sent a solution. 6 points: 153 students. 5 points: 5 students. 4 points: 12 students. 3 points: 2 students. 2 points: 2 students. 1 point: 3 students. 0 point: 19 students. Unfair, not evaluated: 5 solutions.

• Problems in Mathematics of KöMaL, October 2008

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