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6

Part of 2012 Czech-Polish-Slovak Junior Match

Problems(1)

tiling a 8x8 board with 1x1 - 1x1 - 1x1 shapes

Source: Czech-Polish-Slovak Junior Match 2012, Team p6 CPSJ

3/12/2020
The 8×88 \times 8 board is covered with the same shape as in the picture to the right (each of the shapes can be rotated 90o90^o) so that any two do not overlap or extend beyond the edge of the chessboard. Determine the largest possible number of fields of this chessboard can be covered as described above. https://cdn.artofproblemsolving.com/attachments/e/5/d7f44f37857eb115edad5ea26400cdca04e107.png
combinatoricsTiling