MathDB

4

Part of 1982 Brazil National Olympiad

Problems(1)

interchanging 3 piles by a sequence of moves

Source: Brazilian Mathematical Olympiad 1982 P4

7/27/2018
Three numbered tiles are arranged in a tray as shown: https://cdn.artofproblemsolving.com/attachments/d/0/d449364f92b7fae971fd348a82bafd25aa8ea1.jpg Show that we cannot interchange the 11 and the 33 by a sequence of moves where we slide a tile to the adjacent vacant space.
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