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IMAS 2025–2026 Upper Primary — Round 2 Question 15

IMAS · IMAS 2025–2026 Upper Primary — Round 2

Question 15

David has unlimited O-tetrominoes (left) and V-trominoes (right).

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He places pieces along the grid lines to cover a board completely, with no overlap and no part outside. The following $4\times4$ example uses four V-trominoes.

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For a $9\times18$ board, what is the minimum number of V-trominoes needed? Prove that fewer are impossible and illustrate a placement achieving the minimum.

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Additional original answer grid:

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