Let \( \text{Revolution}(x) = x^3 + Ux^2 + Sx + A \), where \( U \), \( S \), and \( A \) are all integers and \( U + S + A + 1 = 1773 \). Given that \( \text{Revolution} \) has exactly two distinct nonzero integer roots \( G \) and \( B \), find the minimum value of \( |GB| \).

Let's think step by step and output the final answer within \boxed{}.
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