What Can Plus/Minus Get Us?

Logic Level 3

\[\Large 1 \ \square \ 2 \ \square \ 3 \ \square \ 4 \ \square \ 5 \ \square \ 6 \ \square \ 7 \]

If we only used \(\large \color{blue}{+}\) and \(\large \color{red}{-}\) in place of the boxes above, how many distinct values can we obtain?


Inspiration.

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