Dilemma

Chef has no work to do in the kitchen, so he decided to play a card game with the following rules: - Initially, $N$ cards are placed in a row on a table. Each card is placed either face up or face down. - The goal of the game is to remove all cards from the table, one by one. - A card may be removed only if it is currently facing up. - When a card is removed, its adjacent cards (the cards dire