Which of the following statement$($s$)$ is$/$are true about the Gale$-$Shapley algorithm $($with employers making job offers$)?$

Group of answer choices

Once an employer has hired a student, this employer's position remains filled for the remainder of the execution of the algorithm.

Once a student has a job, they will remain hired for the remainder of the execution of the algorithm.

If an employer is paired with the first student on their preference list at some point in the execution of the algorithm, then this employer has not yet made an offer to the last student on its preference list.

If a student is hired by the first employer on their preference list at some point in the execution of the algorithm, then the last employer on their preference list has not yet made them an offer.