import unittest


################################################################################
# Solution
################################################################################
# f :: [Int] -> [Int]
def get_products_of_all_ints_except_at_index(xs):
    if len(xs) in {0, 1}:
        raise Exception

    ct = len(xs)
    lefts = [1] * ct
    rights = [1] * ct
    result = []

    for i in range(1, ct):
        lefts[i] = lefts[i - 1] * xs[i - 1]
    for i in range(ct - 2, -1, -1):
        rights[i] = rights[i + 1] * xs[i + 1]

    return [lefts[i] * rights[i] for i in range(ct)]


################################################################################
# Tests
################################################################################
class Test(unittest.TestCase):
    def test_small_list(self):
        actual = get_products_of_all_ints_except_at_index([1, 2, 3])
        expected = [6, 3, 2]
        self.assertEqual(actual, expected)

    def test_longer_list(self):
        actual = get_products_of_all_ints_except_at_index([8, 2, 4, 3, 1, 5])
        expected = [120, 480, 240, 320, 960, 192]
        self.assertEqual(actual, expected)

    def test_list_has_one_zero(self):
        actual = get_products_of_all_ints_except_at_index([6, 2, 0, 3])
        expected = [0, 0, 36, 0]
        self.assertEqual(actual, expected)

    def test_list_has_two_zeros(self):
        actual = get_products_of_all_ints_except_at_index([4, 0, 9, 1, 0])
        expected = [0, 0, 0, 0, 0]
        self.assertEqual(actual, expected)

    def test_one_negative_number(self):
        actual = get_products_of_all_ints_except_at_index([-3, 8, 4])
        expected = [32, -12, -24]
        self.assertEqual(actual, expected)

    def test_all_negative_numbers(self):
        actual = get_products_of_all_ints_except_at_index([-7, -1, -4, -2])
        expected = [-8, -56, -14, -28]
        self.assertEqual(actual, expected)

    def test_error_with_empty_list(self):
        with self.assertRaises(Exception):
            get_products_of_all_ints_except_at_index([])

    def test_error_with_one_number(self):
        with self.assertRaises(Exception):
            get_products_of_all_ints_except_at_index([1])


unittest.main(verbosity=2)