019f8fd211
git-subtree-dir: users/wpcarro git-subtree-mainline:464bbcb15cgit-subtree-split:24f5a642afChange-Id: I6105b3762b79126b3488359c95978cadb3efa789
57 lines
1.6 KiB
Python
57 lines
1.6 KiB
Python
import unittest
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from math import floor
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################################################################################
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# Solution
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################################################################################
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# change_possibilities :: Int -> [Int] -> Int
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def change_possibilities(n, xs):
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combinations = [0] * (n + 1)
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combinations[0] = 1
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for x in xs:
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for i in range(len(combinations)):
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if i >= x:
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combinations[i] += combinations[i - x]
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return combinations[n]
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################################################################################
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# Tests
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################################################################################
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class Test(unittest.TestCase):
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def test_sample_input(self):
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actual = change_possibilities(4, (1, 2, 3))
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expected = 4
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self.assertEqual(actual, expected)
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def test_one_way_to_make_zero_cents(self):
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actual = change_possibilities(0, (1, 2))
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expected = 1
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self.assertEqual(actual, expected)
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def test_no_ways_if_no_coins(self):
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actual = change_possibilities(1, ())
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expected = 0
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self.assertEqual(actual, expected)
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def test_big_coin_value(self):
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actual = change_possibilities(5, (25, 50))
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expected = 0
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self.assertEqual(actual, expected)
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def test_big_target_amount(self):
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actual = change_possibilities(50, (5, 10))
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expected = 6
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self.assertEqual(actual, expected)
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def test_change_for_one_dollar(self):
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actual = change_possibilities(100, (1, 5, 10, 25, 50))
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expected = 292
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self.assertEqual(actual, expected)
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unittest.main(verbosity=2)
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