# Convergence is obvious here

Algebra Level 3

$\sqrt{1-\sqrt{2-\sqrt{3-\sqrt{4+\sqrt{1-\sqrt{2-\sqrt{3-\sqrt{4+\cdots}}}}}}}} = \ ? \$

Details and assumptions:

1. The sign pattern is $$(---+)$$.
2. The number pattern is $$(1234)$$.
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