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Problem 1

Part of 1998 Yugoslav Team Selection Test

Problems(1)

winning strategy in card game

Source: Yugoslav TST 1998 P1

5/15/2021
From a deck of playing cards, four threes, four fours and four fives are selected and put down on a table with the main side up. Players AA and BB alternately take the cards one by one and put them on the pile. Player AA begins. A player after whose move the sum of values of the cards on the pile is (a) greater than 34; (b) greater than 37; loses the game. Which player has a winning strategy?
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