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authorWilliam Carroll <wpcarro@gmail.com>2020-02-12T16·58+0000
committerWilliam Carroll <wpcarro@gmail.com>2020-02-12T16·58+0000
commitfabf1c9334a86d55be133da851cafccc9e6319fe (patch)
treee5c07cbe676c4955d9a48742d00e0081b16b3446 /scratch/data_structures_and_algorithms/knapsack-0-1.py
parent5ec5a6da8cbfe3c35558fd2c17ef779b5d0ccb54 (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.py38
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
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index 000000000000..c72d19d4ed73
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+++ 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)