# Boldly Folding (part 2)

Geometry Level pending

There is a stack of $$n$$ rectangular $$W \times L$$ papers. You can use four different kinds of folds: $$\{up, down, left, right\}$$

• $$up$$ grabs all the layers from the bottom and folds it to the top.
• $$down$$ grabs all the layers from the top and folds it to the bottom.
• $$left$$ grabs all the layers from the right and folds it to the left.
• $$right$$ grabs all the layers from the left and folds it to the right.

After $$x$$ folds, how many layers exist?

Details and assumptions:

• The papers have infinitesimal thickness.
• All of the papers in the stack are aligned with one another.
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