Hansel and Gretal met a troll under a bridge. Before the troll allowed them to continue on their way, they had to agree to let the troll double the amount of money both Hansel and Gretal had with them. Then Hansel must double the amount the troll now had and the amount Gretal now had. Then Gretal had to double the amount the troll had and the amount Hansel had. They agreed. All three of them ended up with$32. How much money did the troll start with?
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