Everyday I'm Shuffling

An automatic card shuffles always shuffles the cards in the same way. A set of twelve cards bearing the letters GOLDENBINARY was placed into the machine. After being shuffled once, the cards were placed into the machine a second time. After that, the cards read ANINOYGREDBL. What did the cards read after it was placed in the machine the first time? Type a=01, b=02 and so on, so if your answer is GZJ, type it in as 072610.

Sources: Brandreth, Gyles (1981) -The Puzzle Mountain, Level 95 (A. Ross Eckler's Cryptology), Page 186 Puzzle Number One

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