diff options
Diffstat (limited to 'scratch')
-rw-r--r-- | scratch/deepmind/part_two/product-of-other-numbers.py | 68 | ||||
-rw-r--r-- | scratch/deepmind/part_two/todo.org | 2 |
2 files changed, 69 insertions, 1 deletions
diff --git a/scratch/deepmind/part_two/product-of-other-numbers.py b/scratch/deepmind/part_two/product-of-other-numbers.py new file mode 100644 index 000000000000..6f7858ff4e5b --- /dev/null +++ b/scratch/deepmind/part_two/product-of-other-numbers.py @@ -0,0 +1,68 @@ +import unittest + + +# get_products_of_all_ints_except_at_index :: [Int] -> [Int] +def get_products_of_all_ints_except_at_index(xs): + n = len(xs) + if n < 2: + raise Exception("Cannot computer without 2 or elements") + # lhs + befores = [None] * n + befores[0] = 1 + for i in range(1, n): + befores[i] = befores[i - 1] * xs[i - 1] + + # rhs + afters = [None] * n + afters[-1] = 1 + for i in range(n - 2, -1, -1): + afters[i] = afters[i + 1] * xs[i + 1] + + result = [None] * n + for i in range(n): + result[i] = befores[i] * afters[i] + return result + + +# 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) diff --git a/scratch/deepmind/part_two/todo.org b/scratch/deepmind/part_two/todo.org index ed3cc56277b9..078613611618 100644 --- a/scratch/deepmind/part_two/todo.org +++ b/scratch/deepmind/part_two/todo.org @@ -12,7 +12,7 @@ * Greedy Algorithms ** DONE Apple Stocks ** DONE Highest Product of 3 -** TODO Product of All Other Numbers +** DONE Product of All Other Numbers ** TODO Cafe Order Checker ** TODO In-Place Shuffle * Sorting, searching, and logarithms |