Anti-Triangle

Chef has a wooden branch of length $L$. Chef also loves triangles, so he'd like to obtain two more branches and arrange them in the shape of a triangle that he can admire forevermore. Chef set out to the nearby woods, determined to find two appropriate branches. There were $N$ ($N \leq 1000$) branches lying around in the woods, the $i$-th of which had length $A_i$. All these lengths were **dist