Section $1$: Problem

Problem description:

You need exactly $\backslash ($ m $\backslash )$ truck drivers to transport goods from a source location to a destination. All $\backslash ($ m $\backslash )$ truck drivers will depart from the source at the same time. Each truck driver may take a different amount of time to reach the destination. There are $\backslash ($ n $\backslash )$ candidate drivers available, and you need to select $\backslash ($ m $\backslash )$ drivers from this pool. The driving time for each candidate driver from the source to the destination is given in an array $\backslash ($ A $\backslash )$ of size $\backslash ($ n $\backslash ),$ where each element represents the driving time in hours $($a positive real number$).$ For example, if $\backslash ($ A$=[2\mathrm{.}3,3,2\mathrm{.}5,7]\backslash ),$ it means there are $\backslash ($ n$=4\backslash )$ candidate drivers with driving times of $2\mathrm{.}3$ hours, $3$ hours, $2\mathrm{.}5$ hours, and $7$ hours respectively. Your objective is to select $\backslash ($ m $\backslash )$ drivers so that the difference between the maximum and minimum driving times among the selected drivers is minimized.

Input: Array $\backslash ($ A $\backslash )$ with $\backslash ($ n $\backslash )$ elements, $\backslash ($ m $\backslash )$

Output: The minimum difference value

Note: You cannot use existing libraries to directly call off$-$the$-$shelf heap, queue, sorting, stack algorithms, but you can implement them when needed. Except these algorithms, you can use existing libraries when necessary, in your program.

Examples for the problem