subtree(users/wpcarro): docking briefcase at '24f5a642'

git-subtree-dir: users/wpcarro
git-subtree-mainline: 464bbcb15c
git-subtree-split: 24f5a642af
Change-Id: I6105b3762b79126b3488359c95978cadb3efa789

users/wpcarro/scratch/data_structures_and_algorithms/coins.py

@@ -0,0 +1,57 @@
+import unittest
+from math import floor
+
+################################################################################
+# Solution
+################################################################################
+
+# change_possibilities :: Int -> [Int] -> Int
+def change_possibilities(n, xs):
+    combinations = [0] * (n + 1)
+    combinations[0] = 1
+
+    for x in xs:
+        for i in range(len(combinations)):
+            if i >= x:
+                combinations[i] += combinations[i - x]
+
+    return combinations[n]
+
+
+################################################################################
+# Tests
+################################################################################
+class Test(unittest.TestCase):
+
+    def test_sample_input(self):
+        actual = change_possibilities(4, (1, 2, 3))
+        expected = 4
+        self.assertEqual(actual, expected)
+
+    def test_one_way_to_make_zero_cents(self):
+        actual = change_possibilities(0, (1, 2))
+        expected = 1
+        self.assertEqual(actual, expected)
+
+    def test_no_ways_if_no_coins(self):
+        actual = change_possibilities(1, ())
+        expected = 0
+        self.assertEqual(actual, expected)
+
+    def test_big_coin_value(self):
+        actual = change_possibilities(5, (25, 50))
+        expected = 0
+        self.assertEqual(actual, expected)
+
+    def test_big_target_amount(self):
+        actual = change_possibilities(50, (5, 10))
+        expected = 6
+        self.assertEqual(actual, expected)
+
+    def test_change_for_one_dollar(self):
+        actual = change_possibilities(100, (1, 5, 10, 25, 50))
+        expected = 292
+        self.assertEqual(actual, expected)
+
+
+unittest.main(verbosity=2)