Skip to content / Đến nội dung
ThichHocToan.com

IKMC 2027 - Grades 11-12 - Self-study SET 7 - Thematic Batch 3 Question 12

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 7 - Thematic Batch 3

Question 12

Julia has a chocolate bar made of N small squares. At each step she eats N/2 squares if the current number N is even, and (N+1)/2 if it is odd. After four successive eating steps she has finished the bar. How many values can the initial N have?

Editorial interpretation: These are four actual eating steps; the bar first becomes empty on the fourth step.

Question illustration
  1. 4
  2. 8
  3. 12
  4. 16
  5. 20