La Belle Lucie

La Belle Lucie Solitaire is a 1 player (solitaire) card game. Your goal is fill the 4 top slots with an entire suit, in order (Ace to King), for all 4 suits. The catch is, you can only tranfer cards from the piles below when they are on the top of the pile, and, if you are trying to transfer them among the bottom (not on the top 4 rows), they must be place on the card that is the same suit, and one value higher than, the card you are trying to move. So, having the King on the top of the pile means that that pile can not be touched at all, unless you get the top 4 column of the same suite all the way up to a Queen first. You are allowed to randomly shuffle the cards on the bottom twice, and after that you are allowed ONE "Merci" move, which allows you pick 1 card (and only once during the entire game) from anywhere (including the middle of the pile) and move it. It is a lot harder than it looks...