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Create a TM that takes a list of binary numbers and identifies the start of the shortest number ( only in terms of length )

Create a TM that takes a list of binary numbers and identifies the start of the shortest number (only in terms of length). You can assume that each number has at least one bit in it.
The program should return the input back to normal with a $ in the front of the shortest string.
E.g.
Input: #10101#1101#110#001#101111#
Output: #10101#1101$110#001#101111#
- with machine stopping at the $ symbol.
This is what I have right now: It takes the input and marks off the first symbol of each number and then rewinds to the beginning. Please finish the TM.
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