olymmath

OMCPLP 2018 Problem 6

  • Day 2

In a 3×253 \times 25 board, 1×31 \times 3 pieces are placed (vertically or horizontally) so that they occupy entirely 33 boxes on the board and do not have a common point. What is the maximum number of pieces that can be placed, and for that number, how many configurations are there?

Dataset text AI-MO AoPS. Quoted with source.

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