Consider the following algorithm that takes as input a list $(a_1,$dots,$a_n)$

of integers.

For $i=1$ to $n-1$

For $j=i+1$ to $n$

If $(a_i+a_j=0)$ Return$("$Yes$",\{$:$i,j)$

End$-$for

End$-$for

Return$($No$)$

Describe what the algorithm is determining about the list $(a_1,$dots,$a_n).$ De$-$

scribe the worst$-$case scenario for this algorithm $($you don't need to calculate

the time complexity$).$ Calculate the outputs given the inputs $(3,4,-4,-3)$ and

$(1,1,0).$