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BEBRAS 2018 Grade 9-10 Round 2 Ext Question 11

BEBRAS · BEBRAS 2018 Grade 9-10 Round 2 Ext

Question 11

Trava is lost in a 6×6 forest containing two old trees and one rock, as shown.

Question illustration

Distance is the minimum number of horizontal/vertical cell-to-cell moves. For example, the rock is distance 4 from the nearer tree. Trava can see an object only if its distance is at most 4. Trava's distances from the two trees are 4 and 2, and the rock is not visible. How many cells could contain Trava?
  1. 3
  2. 4
  3. 5
  4. 6