Consider the following algorithm. What is the output of the algorithm Check for the input a $=5,=7,$c$=6?$

Input: a$,$b$,$c $($integers$)$

Output: k $($integer$)$

Check $($a$,$b$,$c$)\{$

k$=$a

if $($b $>$ k$)$

k$=$k$+3$

if $($c $>$ k$)$

k$=$k$+5$

return k