他手里握着一叠扑克牌：A，2，....J，Q，K 一共13张。他先自己精心设计它们的顺序，然后正面朝下拿着，开始表演。

只见他先从最下面拿一张放到最上面，再从最下面拿一张翻开放桌子上，是A；然后再从最下面拿一张放到最上面，再从最下面拿一张翻开放桌子上，是2；......如此循环直到手中只有一张牌，翻开放桌子上，刚好是K。

这时，桌上牌的顺序是：A,2,3,4,5,6,7,8,9,10,J,Q,K

请你计算一下，小明最开始的时候手里牌的顺序是怎样的。数学算法（10 6 13 5 9 4 11 3 8 2 12 1 7）

-His hand holding a stack of playing cards: A, 2, .... J, Q, K total 13. He first designed their own order, then face down holding, began performing.

I saw him get a start at the bottom on top, then take a turn open　the bottom on the table, it is A　then　the bottom to take a piece on top, then take a piece　the bottom open on the turn table 2　...... so the cycle until the hands of only a card, turn the table on the open, just K.

In this case, the order of cards on the table is: A, 2,3,4,5,6,7,8,9,10, J, Q, K

Please you do the math, Xiao Ming order the very beginning of what the hands of cards. Mathematical algorithm (10 613,594,113,821,217)