Time for an 2014 update…

Task/Knapsack-problem-0-1/SQL/knapsack-problem-0-1.sql

@@ -0,0 +1,46 @@
+WITH KnapsackItems (item, [weight], value) AS
+(
+    SELECT 'map',9,  150
+    UNION ALL SELECT 'compass',13,  35
+    UNION ALL SELECT 'water',153,  200
+    UNION ALL SELECT 'sandwich',50,  160
+    UNION ALL SELECT 'glucose',15,  60
+    UNION ALL SELECT 'tin',68,  45
+    UNION ALL SELECT 'banana',27,  60
+    UNION ALL SELECT 'apple',39,  40
+    UNION ALL SELECT 'cheese',23,  30
+    UNION ALL SELECT 'beer',52,  10
+    UNION ALL SELECT 'suntan cream',11,  70
+    UNION ALL SELECT 'camera',32,  30
+    UNION ALL SELECT 'T-shirt',24,  15
+    UNION ALL SELECT 'trousers',48,  10
+    UNION ALL SELECT 'umbrella',73,  40
+    UNION ALL SELECT 'waterproof trousers',42,  70
+    UNION ALL SELECT 'waterproof overclothes',43,  75
+    UNION ALL SELECT 'note-case',22,  80
+    UNION ALL SELECT 'sunglasses',7,  20
+    UNION ALL SELECT 'towel',18,  12
+    UNION ALL SELECT 'socks',4,  50
+    UNION ALL SELECT 'book',30,  10
+)
+SELECT *
+INTO #KnapsackItems
+FROM KnapsackItems;
+
+WITH UNIQUEnTuples (n, Tuples, ID, [weight], value) AS (
+    SELECT 1, CAST(item AS VARCHAR(8000)), item, [weight], value
+    FROM #KnapsackItems
+    UNION ALL
+    SELECT 1 + n.n, t.item + ',' + n.Tuples, item, n.[weight] + t.[weight], n.value + t.value
+    FROM UNIQUEnTuples n
+    CROSS APPLY (
+        SELECT item, [weight], value
+        FROM #KnapsackItems t
+        WHERE t.item < n.ID AND n.[weight] + t.[weight] < 400) t
+    )
+SELECT TOP 5 *
+FROM UNIQUEnTuples
+ORDER BY value DESC, n, Tuples;
+
+GO
+DROP TABLE #KnapsackItems;