16.11. ArrayTester - Part B¶
Part b. Write the static method isLatin
, which returns true
if a given two-dimensional square array is a Latin square
, and otherwise, returns false.
A two-dimensional square array of integers is a Latin square if the following conditions are true. 1) The first row has no duplicate values. 2) All values in the first row of the square appear in each row of the square. 3) All values in the first row of the square appear in each column of the square.
![../_images/LatinSquareEx.png](../_images/LatinSquareEx.png)
The ArrayTester
class provides two helper methods: containsDuplicates
and hasAllValues
. The method containsDuplicates
returns true
if the given one-dimensional array arr
contains any duplicate values and false
otherwise. The method hasAllValues
returns true
if and only if every value in arr1
appears in arr2
. You do not need to write the code for these methods.
![../_images/LatinSquareEx2.png](../_images/LatinSquareEx2.png)
Complete method isLatin
below. Assume that getColumn
works as specified, regardless of what
you wrote in part (a). You must use getColumn
, hasAllValues
, and containsDuplicates
appropriately to receive full credit.
16.11.1. Try and Solve It¶
Complete the method isLatin
below.