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BEBRAS 2019 Grade 7-8 Round 2 Ext Question 4

BEBRAS · BEBRAS 2019 Grade 7-8 Round 2 Ext

Question 4

A beaver lives in a small pond surrounded by forests and rocky regions. Each day it cuts down every forest region adjacent to the current pond and turns those regions into pond. Rock cannot be converted.

Pond symbol:

Question illustration

Forest symbol:

Question illustration

Rock symbol:

Question illustration

Question illustration

After how many days will all forests on the map have been cut? Editorial adjacency convention: regions are adjacent when they share a boundary segment; new pond regions expand further only on the next day.
  1. 3 days
  2. 4 days
  3. 5 days
  4. 6 days