From a8bdf7580ae3c6b55554b965810aeb48517d7af1 Mon Sep 17 00:00:00 2001
From: Haidong Ji
Date: Wed, 26 Dec 2018 18:15:59 -0600
Subject: Knapsack maximize gold done!

---
 .../sources/knapsack.py                            | 22 ++++++++++++++++++++++
 1 file changed, 22 insertions(+)
 create mode 100644 AlgoDesignAndTechniqueEdxPython/sources/knapsack.py

(limited to 'AlgoDesignAndTechniqueEdxPython/sources/knapsack.py')

diff --git a/AlgoDesignAndTechniqueEdxPython/sources/knapsack.py b/AlgoDesignAndTechniqueEdxPython/sources/knapsack.py
new file mode 100644
index 0000000..24e5e92
--- /dev/null
+++ b/AlgoDesignAndTechniqueEdxPython/sources/knapsack.py
@@ -0,0 +1,22 @@
+# Uses python3
+import sys
+
+
+def optimalWeight(W, w2):
+    j = len(w2)
+    value = [[0 for _ in range(j + 1)] for _ in range(W + 1)]
+    
+    for i in range(1, j + 1):
+        for w in range(1, W + 1):
+            value[w][i] = value[w][i - 1]
+            if w2[i - 1] <= w:
+                val = value[w - w2[i - 1]][i - 1] + w2[i - 1]
+                if value[w][i] < val:
+                    value[w][i] = val
+    return value[W][j]
+
+
+if __name__ == '__main__':
+    input = sys.stdin.read()
+    W, n, *w = list(map(int, input.split()))
+    print(optimalWeight(W, w))
-- 
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