def test_IsLatinSquare_7x7(self):
self.assertTrue(
isLatinSquare([[0, 1, 2, 3, 4, 5, 6, 7], [1, 0, 3, 2, 5, 4, 7, 6],
[2, 3, 0, 1, 6, 7, 4, 5], [3, 2, 1, 0, 7, 6, 5, 4],
[4, 5, 6, 7, 0, 1, 2, 3], [5, 4, 7, 6, 0, 1, 2, 3],
[6, 7, 4, 5, 2, 3, 0, 1], [7, 6, 5, 4, 3, 2, 1,
0]]))
def test_IsLatinSquare_4x4_text_First_Row_Duplicate(self):
self.assertFalse(
isLatinSquare([
['A', 'B', 'C', 'C'], #Duplicationg in First Row
['B', 'C', 'D', 'A'],
['C', 'D', 'A', 'B'],
['D', 'A', 'B', 'C']
]))
def test_IsLatinSquare_7x7_Multiple_Duplicates(self):
self.assertFalse(
isLatinSquare([
[0, 1, 2, 3, 4, 5, 6, 7],
[1, 0, 3, 2, 5, 4, 7, 6],
[2, 3, 0, 1, 6, 7, 4, 5],
[3, 2, 1, 0, 7, 6, 5, 4],
[4, 5, 6, 7, 1, 1, 2, 3], # Duplicated 1 (Horizontally)
[5, 4, 7, 6, 0, 1, 2, 3], # Duplicated 1 (Vertically)
[6, 7, 4, 5, 2, 3, 0, 1],
[7, 6, 5, 4, 3, 2, 1, 0]
]))
def test_IsLatinSquare_5x5_Last_Column_Duplicate(self):
self.assertFalse(
isLatinSquare([[1, 2, 3, 4, 5], [4, 5, 1, 3, 2], [5, 3, 4, 2, 1],
[2, 4, 5, 1, 3], [3, 1, 2, 5,
3]])) #Duplication in Last Column
def test_IsLatinSquare_4x4_text_Reduced(self):
self.assertTrue(
isLatinSquare([['A', 'B', 'C', 'D'], ['B', 'C', 'D', 'A'],
['C', 'D', 'A', 'B'], ['D', 'A', 'B', 'C']]))
def test_IsLatinSquare_5x5_Reduced(self):
self.assertTrue(
isLatinSquare([[1, 2, 3, 4, 5], [4, 5, 1, 3, 2], [5, 3, 4, 2, 1],
[2, 4, 5, 1, 3], [3, 1, 2, 5, 4]]))
def test_IsLatinSquare_4x4_Reduced(self):
self.assertTrue(
isLatinSquare([[1, 2, 3, 4], [2, 3, 4, 1], [3, 4, 1, 2],
[4, 1, 2, 3]]))
def test_IsLatinSquare_3x3_Reduced(self):
self.assertTrue(isLatinSquare([[1, 2, 3], [2, 3, 1], [3, 2, 1]]))