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authorVincent Ambo <mail@tazj.in>2021-12-13T22·51+0300
committerVincent Ambo <mail@tazj.in>2021-12-13T23·15+0300
commit019f8fd2113df4c5247c3969c60fd4f0e08f91f7 (patch)
tree76a857f61aa88f62a30e854651e8439db77fd0ea /users/wpcarro/scratch/facebook/london-knapsack.py
parent464bbcb15c09813172c79820bcf526bb10cf4208 (diff)
parent6123e976928ca3d8d93f0b2006b10b5f659eb74d (diff)
subtree(users/wpcarro): docking briefcase at '24f5a642' r/3226
git-subtree-dir: users/wpcarro
git-subtree-mainline: 464bbcb15c09813172c79820bcf526bb10cf4208
git-subtree-split: 24f5a642af3aa1627bbff977f0a101907a02c69f
Change-Id: I6105b3762b79126b3488359c95978cadb3efa789
Diffstat (limited to 'users/wpcarro/scratch/facebook/london-knapsack.py')
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diff --git a/users/wpcarro/scratch/facebook/london-knapsack.py b/users/wpcarro/scratch/facebook/london-knapsack.py
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+from utils import get, init_table, print_table
+
+def optimal_itinerary(duration, items):
+    min_duration = min([duration for duration, _ in items])
+    max_duration = max([duration for duration, _ in items])
+    table = init_table(rows=len(items), cols=int(max_duration / min_duration), default=0)
+    to_index = lambda duration: int(duration / min_duration) - 1
+    to_duration = lambda i: i * min_duration + min_duration
+
+    for row in range(len(table)):
+        for col in range(len(table[row])):
+            curr_duration = to_duration(col)
+            duration, value = items[row]
+            if duration > curr_duration:
+                a = 0
+            else:
+                a = value + get(table, row - 1, to_index(curr_duration - duration))
+            b = get(table, row - 1, col)
+            table[row][col] = max([a, b])
+
+        print_table(table)
+    return table[-1][-1]
+
+# You're in London for two days, and you'd like to see the following
+# attractions. How can you maximize your time spent in London?
+westminster = (0.5, 7)
+globe_theater = (0.5, 6)
+national_gallery = (1, 9)
+british_museum = (2, 9)
+st_pauls_cathedral = (0.5, 8)
+items = [
+    westminster,
+    globe_theater,
+    national_gallery,
+    british_museum,
+    st_pauls_cathedral,
+]
+result = optimal_itinerary(2, items)
+expected = 24
+print(result, expected)
+assert result == expected
+print("Success!")