A student was asked to develop an algorithm to find and output the largest of three numerical values x$,$ y$,$ and z that are provided as input. Here is what was produced:

Input: x$,$ y$,$ z

Algorithm:

Check fi $($x $>$ y$)$ and $($x $>$ z$).$ fI it

is$,$ then output the value of x and stop. Otherwise, continue to the next line.

Check if $($y $>$ x$)$ and $($y $>$ z$).$ If it is then output the value of yand stop. Otherwise, continue to the next line.

Checkif$($z$>$x$)$and$($z$>$y$).$ Ifitis, then output the value of z and stop.

Is this a correct solution to the problem? Explain why or why not. If it is incorrect, fix the algorithm so that it is a correct solution.