MathDB

Two babies A and B are playing a game with

2022

bottles of milk. Each bottle has a maximum capacity of

200

ml, and initially each bottle holds

30

ml of milk. Starting from A, they take turns and do one of the following: (1) Pick a bottle with at least

100

ml of milk, and drink half of it. (2) Pick two bottles with less than

100

ml of milk, pour the milk of one bottle into the other one, and toss away the empty bottle. Whoever cannot do any operations loses the game. Who has a winning strategy?
Proposed by Chu-Lan Kao and usjl

4

Problems(1)