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BEBRAS 2024 Grade 9-10 Round 2 Ext Question 14

BEBRAS · BEBRAS 2024 Grade 9-10 Round 2 Ext

Question 14

A beaver wants to reorder the four balls as shown. Initially, from bottom to top, they are gray, striped, dotted, white; the target is dotted, striped, gray, white.

Question illustration

Each move is one of the following:
- Transfer the bottom ball to a waiting tray, which holds at most one ball.
- Move the bottom ball to the top of the main stack.
- Move the waiting-tray ball to the top of the main stack.

Question illustration

What is the minimum number of moves?
  1. 6
  2. 8
  3. 5
  4. 7