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IMSO 2025 — Mathematics Exploration Question 6

IMSO Maths · IMSO 2025 — Mathematics Exploration

Question 6

A grid is divided into regions; their shapes may be the same or different. Shade cells according to both rules:

- Every region contains exactly two shaded cells, which may or may not be adjacent.
- Every shaded cell shares a side with exactly one other shaded cell; its partner may be in the same region or a different region.

The original $5\times5$ example has six regions; its completed solution is shown at right.

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A. $6\times6$, eight regions. (1 point)

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B. $8\times8$, twelve regions. (2 points)

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C. $10\times10$, twenty-one regions. (3 points)

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