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Bulgaria JBMO Team Selection Test
2014 Bulgaria JBMO TST
4
4
Part of
2014 Bulgaria JBMO TST
Problems
(1)
Chessboard tromino tiling
Source:
5/18/2015
Removing a unit square from a
2
×
2
2\times 2
2
×
2
square we get a piece called L-tromino. From the fourth line of a
7
×
7
7 \times 7
7
×
7
cheesboard some unit squares have been removed. The resulting chessboard is cut in L-trominos. Determine the number and location of the removed squares.
combinatorics