Should be Bézout's identity

Logic Level 3

You are given 3 tiny empty unmarked volumetric flasks of capacities 11 ml, 14 ml, and 18 ml. Because they are unmarked, you can only pour water from one flask to another. Until the initial flask is empty or the other is full. What is the minimum number of moves to fill up 16 ml of water into the 18 ml flask?

Details and Assumptions

What is a "move"?

  • Filling a flask,
  • Emptying a flask,
  • Pouring water from one flask to another.

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