98583 – We Solve Problems

Problem № 98583 11-13

On a table there are 2002 cards with the numbers 1, 2, 3, …, 2002. Two players take one card in turn. After all the cards are taken, the winner is the one who has a greater last digit of the sum of the numbers on the cards taken. Find out which of the players can always win regardless of the opponent’s strategy, and also explain how he should go about playing.


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