Four, (50 points) Distribute 2010 red cards and 2010 white cards arbitrarily to 2010 players participating in the game, with each person receiving two cards. All players sit in a circle facing down. The game rule is that each operation requires each player to simultaneously follow the following principle: if a player has at least one red card, he will give a red card to the player on his left; if he has no red card, he will give a white card to the player on his left. Find the maximum number of operations required for the first time that each player has exactly one red card and one white card in their hands.