public static int findMaxValue$($List list$)$

$//$ Effects: if list is null throw NullPointerException

$//$ else return the maximum value in the list; if list is empty, return Integer.MIN$\_$VALUE

Base your answer on the following characteristics and partitioning:

Characteristic C$1$: Location of the maximum value in the list

$$ Block$-1$: The maximum value is the first entry in the list.

$$ Block$-2$: The maximum value is the last entry in the list.

$$ Block$-3$: The maximum value is in some position other than the first or last.

a$.$ "Location of the maximum value in the list" fails the disjointness property. Give an example that illustrates this.

b$.$ "Location of the maximum value in the list" fails the completeness property. Give an example that illustrates this.

c$.$ Revise the characteristic above to capture the intent of "Location of the maximum value in the list" but does not suffer from completeness or disjointness problems.

d$.$ Add any additional relevant characteristics and their partitions$/$blocks$,$ as deemed appropriate.

$$ Hint: Think about the possible values that the $$list$$ parameter can take in this function

based on the characteristics you identified in question c$)$ and d$)$ collectively, write a set of test cases that satisfies Base Choice Coverage $($BCC$).$ Please clearly indicate your base choice.

i$.$ Derive your test cases with the values.

ii$.$ Write your test cases with the values.

iii. Be sure to include inputs $($test input values$)$ and expected outputs.