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2016 TIMC keystage2-EMIC team Question 3

xIMC · 2016 TIMC keystage2-EMIC team

Question 3

The diagram shows an 8 by 8 board. An ant visits each of the 64 squares once and only once. It crawls from one to another of two squares sharing at least one corner. The order in which the squares are visited is marked with numbers, starting from 1 and ending at 64. Some of the marked numbers have been erased. Restore these erased numbers.

Question illustration

Original answer template:

Question illustration

Submission guidance: Supply the completed grid only; the source does not require a written proof for this odd-numbered problem. It is represented as a manually graded grid response, with all-or-nothing credit.