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Bebras 2019 - Level 4 Question 15

BEBRAS · Bebras 2019 - Level 4

Question 15

Six cats are going to the mice’s party by jumping across islands in a river. The cats may only jump to adjacent islands. They cannot jump diagonally or jump onto or across submerged islands. Each cat stays on an island for exactly 1 minute before jumping to another empty island. Jumping time is negligible. If no neighbouring island is empty, the cat must remain for another minute.

Question illustration

What is the minimum number of minutes for all six cats to reach the mice’s party?
  1. 12
  2. 15
  3. 19
  4. 24