Blocking Dominos

Discrete Mathematics Level 4

Diego wants to completely cover a \( 6 \times 6 \) board using 18 dominos. Find the smallest positive integer \(k\) which satisfies the following property:

It is possible for Diego to place \(k\) dominos, such that there is a unique way to completely cover the remaining squares.

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Juan Neyra Faustino by Juan Neyra Faustino
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