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Algebra Level 5

\[ \large ( \sqrt x + 1)! = \left \lfloor \sqrt x - 1 \right \rfloor ^2 ! \]

If the sum of only the complex solutions for \(x\) can be expressed as \(A+Bi\) for real numbers \(A,B\), what is the value of \( \lceil A+B\rceil \)?

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