CEMC Pascal, 2010

Combinatorics Difficulty 2.0 Junior Find the answer Canada

The nine interior intersection points on a 4 by 4 grid of squares are shown. How many interior intersection points are there on a 12 by 12 grid of squares?

(A) $100$ (B) $121$ (C) $132$ (D) $144$ (E) $169$

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