72 lines
2.3 KiB
Python
72 lines
2.3 KiB
Python
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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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def max_duffel_bag_value(xs, cap):
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ct = (cap + 1)
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maxes = [0] * ct
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for c in range(cap + 1):
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for w, v in xs:
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if w == 0 and v > 0:
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return float('inf')
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if w == c:
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maxes[c:] = [max(maxes[c], v)] * (ct - c)
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elif w < c:
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d = c - w
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maxes[c:] = [max(maxes[c], v + maxes[d])] * (ct - c)
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else:
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continue
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return maxes[cap]
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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_one_cake(self):
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actual = max_duffel_bag_value([(2, 1)], 9)
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expected = 4
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self.assertEqual(actual, expected)
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def test_two_cakes(self):
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actual = max_duffel_bag_value([(4, 4), (5, 5)], 9)
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expected = 9
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self.assertEqual(actual, expected)
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def test_only_take_less_valuable_cake(self):
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actual = max_duffel_bag_value([(4, 4), (5, 5)], 12)
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expected = 12
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self.assertEqual(actual, expected)
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def test_lots_of_cakes(self):
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actual = max_duffel_bag_value([(2, 3), (3, 6), (5, 1), (6, 1), (7, 1),
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(8, 1)], 7)
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expected = 12
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self.assertEqual(actual, expected)
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def test_value_to_weight_ratio_is_not_optimal(self):
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actual = max_duffel_bag_value([(51, 52), (50, 50)], 100)
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expected = 100
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self.assertEqual(actual, expected)
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def test_zero_capacity(self):
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actual = max_duffel_bag_value([(1, 2)], 0)
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expected = 0
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self.assertEqual(actual, expected)
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def test_cake_with_zero_value_and_weight(self):
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actual = max_duffel_bag_value([(0, 0), (2, 1)], 7)
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expected = 3
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self.assertEqual(actual, expected)
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def test_cake_with_non_zero_value_and_zero_weight(self):
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actual = max_duffel_bag_value([(0, 5)], 5)
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expected = float('inf')
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self.assertEqual(actual, expected)
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unittest.main(verbosity=2)
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