Winning Strategy for a Circular Card Removal Game

If 'n' is a multiple of 4, then the second player can always win by mirroring the first player's moves. That is, for every move the first player makes, the second player makes the same move but on the opposite side of the circle. This ensures that the remaining cards are always symmetric with respect to the center of the circle, and thus the second player can always copy the first player's moves and take the last card.

If 'n' is not a multiple of 4, then the first player can always win by taking the center card in the first move. This splits the circle into two halves, one with 'k' cards and the other with 'n-k-1' cards, where 'k' = ⌊n/2⌋. The second player must now take one or more cards from one of these halves. The first player can then mirror this move and take the same number of cards from the other half. This ensures that both halves have the same number of cards, and the first player can continue to mirror the second player's moves until the last card is taken, at which point the first player takes the remaining card and wins.