Brilli the ant states that "Given any set of 30 distinct integers from 1 to 50 (inclusive), there must exist 2 integers whose absolute difference is exactly \(N\)."

What is the sum of all possible values of \(N\) in which the statement is always true?

**Details and assumptions**

You may use the fact that \( \frac{30 \times 29} {2} = 435 \).

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