Thirty $(30)$ students registered for a field trip. When the bus arrives, the students randomly line up to board the bus, but their teacher needs to take attendance using a list containing the students names. The student names are in alphabetical order by last name. Two different algorithms are given for finding each student's name as they board the bus.

$\backslash$table$[[$Algorithm $1,$Algorithm $2],[$Repeat until the name is found or until,Let the current name be the first name$],[$you run out of names in the list:,on the list.$],[$Repeat until you find the name in the list,$],[$Look at the middle name in the list,or reach the end of the list.$],[$If the name in the list is too high,,If the current name matches the$],[$student$\text{'}$s name,$],[$Cut off the top half of the list.,Mark the student present and stop.$],[$If the name in the list is too low,,$],[$Cut off the bottom half of the list.,$\backslash$table$[[$Otherwise$,$ make the current name the$],[$next name in the list.$]]],[$If the name in the list matches the,$],[$student$\text{'}$s name,,$],[$Mark the student present.,$]]$

Algorithm A always finds the student's name, but Algorithm B does not.

Algorithm B always finds the student's name, but Algorithm A does not.

Both Algorithm A and $B$ always finds the students name

Neither Algorithm A nor Algorithm B finds the students name.