Proof that the counting subset sum is in #P (Sharp P)

Yesterday I gave a presentation proving that in theory group.  Presenting a proof is a lot harder than it seems when proving it to yourself on paper.  Suggestion for presentations in the future: say what I am going to do then write it up on the board.  Then after writing point to the different equations that I had previously explained.  Here are some of the lecture notes that I used to prepare.

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