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SMO 2006 Junior Round 1 Question 26

SMO · SMO 2006 Junior Round 1

Question 26

There are four piles of stones: one with $6$ stones, two with $8$, and one with $9$. Five players numbered $1,2,3,4,5$ take turns, in the order of their numbers, choosing one of the piles and dividing it into two smaller piles. The loser is the player who cannot do this. State the number of the player who loses.