Nope. Man I didn't think it was all that hard. LOL Or maybe my drawing skills just suck. Let's see if I can come up with a better hint...

For the first part, think again about what his job could be and what he looks for in order to get the answers he needs. Widow's idea of proof was good - he does need proof...what what does he find along the way that gives him proof?

And the second part, what is that symbol in math called?