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author | William Carroll <wpcarro@gmail.com> | 2020-02-12T16·58+0000 |
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committer | William Carroll <wpcarro@gmail.com> | 2020-02-12T16·58+0000 |
commit | fabf1c9334a86d55be133da851cafccc9e6319fe (patch) | |
tree | e5c07cbe676c4955d9a48742d00e0081b16b3446 /scratch/data_structures_and_algorithms/knapsack-0-1.py | |
parent | 5ec5a6da8cbfe3c35558fd2c17ef779b5d0ccb54 (diff) |
Tidy up structure of briefcase
I had a spare fifteen minutes and decided that I should tidy up my monorepo. The work of tidying up is not finished; this is a small step in the right direction. TL;DR - Created a tools directory - Created a scratch directory (see README.md for more information) - Added README.md to third_party - Renamed delete_dotfile_symlinks -> symlinkManager - Packaged symlinkManager as an executable symlink-mgr using buildGo
Diffstat (limited to 'scratch/data_structures_and_algorithms/knapsack-0-1.py')
-rw-r--r-- | scratch/data_structures_and_algorithms/knapsack-0-1.py | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/scratch/data_structures_and_algorithms/knapsack-0-1.py b/scratch/data_structures_and_algorithms/knapsack-0-1.py new file mode 100644 index 000000000000..c72d19d4ed73 --- /dev/null +++ b/scratch/data_structures_and_algorithms/knapsack-0-1.py @@ -0,0 +1,38 @@ +import unittest +from math import floor + + +def knapify(xs, capacity=None): + assert capacity is not None + n = len(xs) + # For 0/1 Knapsack, we must use a table, since this will encode which values + # work for which items. This is cleaner than including a separate data + # structure to capture it. + maxes = [[0 for x in range(capacity + 1)] for x in range(n + 1)] + + # Build table maxes[][] in bottom up manner + for row in range(n + 1): + for col in range(capacity + 1): + if row == 0 or col == 0: + maxes[row][col] = 0 + elif xs[row - 1][0] <= col: + maxes[row][col] = max( + xs[row - 1][1] + maxes[row - 1][col - xs[row - 1][0]], + maxes[row - 1][col]) + else: + maxes[row][col] = maxes[row - 1][col] + + return maxes[-1][capacity] + + +################################################################################ +# Tests +################################################################################ +class Test(unittest.TestCase): + def test_one_cake(self): + actual = knapify([(3, 10), (2, 15), (7, 2), (12, 20)], capacity=12) + expected = None + self.assertEqual(actual, expected) + + +unittest.main(verbosity=2) |