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BEBRAS 2026 Grade 7-8 Round 2 Ext Question 9

BEBRAS · BEBRAS 2026 Grade 7-8 Round 2 Ext

Question 9

An island has eighteen villages connected as shown. Each village has many messengers. Whenever a village originates or newly receives information, its messengers send it to every directly connected neighboring village on the following day.

Question illustration

For example, information from A reaches B, C, Q after one day, D, E, F after two days, and continues until everyone receives it. If new information starts at J, what is the smallest number of days until every village receives it?
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