### Yet Another Number Game

Two players alternatively erase one number from the sequence 1,2,...,27

until only two numbers remain. The ﬁrst player wins if the sum of these

numbers is divisible by 5; otherwise the second player wins. Who has a

winning strategy?

until only two numbers remain. The ﬁrst player wins if the sum of these

numbers is divisible by 5; otherwise the second player wins. Who has a

winning strategy?

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