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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

A straight line is drawn across an 8 by 8 checkerboard. What is the greatest number of 1 by 1 squares through which this line could pass?

(A) $12$ (B) $14$ (C) $16$ (D) $11$ (E) $15$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.