Statement

Two teams are playing padel and it is known that they have played N points in total, and we know the winner of each point (team 1 or 2). Given that they have played a number of warmup points (it could be also 0 or N) followed by competitive points (the remaining points) find the maximum number of complete games they have played. A complete game ends when a team wins at least 4 competitive points and the difference is at least 2 competitive points (just like in tennis). For example, if we have the sequence 1 2 1 2 1 2 1 1 2 2 1 2 2, then we would have 2 complete games if we choose the first 2 points as warm-ups and the rest to be games (1 2 1 2 1 1, respectively 2 2 1 2 2). Take note that it is not required for the players to finish playing at the end of a game, as they can be forced to leave the field even in the middle of the game (for example, another group of players could start playing)...