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Dollar Function

0 $ _ r 1
0 1 * r 2
1 * _ r 1
1 _ _ * halt
2 1 * r 2
2 $ * r 3
3 1 $ l 4
3 _ _ l 5
4 $ 1 r 2
5 $ _ * halt

Help me to expand dollar function turing machine.

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