I have 7 copies each of 14 cards labelled A-N. Each day I try to play a card. I cannot play the same letter as the previous day. In addition if I played a letter for the nth time, the next day I cannot play another letter for the nth time. If I cannot play a card I must take a day off, but the following day I can play whatever card I want.
How many days will it take me to play all of the cards?