Game with Piles of Stones

Two players are playing the following game. On the table are three piles of stones. The first pile has `10` stones, the second – `15`, and the third – `20`. Each player, in their turn, chooses one of the piles currently on the table and divides it into two smaller piles. The player who cannot make a move loses.

Which of the two players has a winning strategy, and what is it?

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Combinatorics -> Invariants Combinatorics -> Game Theory Logic -> Reasoning / Logic
Sources:
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