Find either a basic feasible solution or a certificate of infeasibility for the following linear program by running the first phase of the two phase simplex method.

max $(0,1,1)$

subject to $[212$

$13/22]=$

$[4$

$1]$

Present your answer as either a basis $$

and the basic feasible solution to the original LP corresponding to $$

$,$ or as a certificate of infeasibility $$

$.$ Show your work.