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MathNet 2012 Question 50

Math Olympiad Vault · MathNet 2012

Question 50

Abel has an infinite amount of type-A and -B pieces. Type-A pieces are composed of five unit squares and type-B pieces are composed of six unit squares, as shown below:
Question illustration

Abel wants to cover a $n \times n$ checkerboard, divided into $n^2$ unit squares, using these pieces without overlapping them or leaving part of them out of the board.
Determine the smallest $n$ for which Abel can achieve this.