Create rod_cut.py

Rod Cutting Dp Problem

dp/rod_cut.py

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+# A Dynamic Programming solution for Rod cutting problem
+INT_MIN = -32767
+
+# Returns the best obtainable price for a rod of length n and
+# price[] as prices of different pieces
+def cutRod(price, n):
+    val = [0 for x in range(n+1)]
+    val[0] = 0
+
+    # Build the table val[] in bottom up manner and return
+    # the last entry from the table
+    for i in range(1, n+1):
+        max_val = INT_MIN
+        for j in range(i):
+             max_val = max(max_val, price[j] + val[i-j-1])
+        val[i] = max_val
+
+    return val[n]
+
+# Driver program to test above functions
+arr = [1, 5, 8, 9, 10, 17, 17, 20]
+size = len(arr)
+print("Maximum Obtainable Value is " + str(cutRod(arr, size)))
+
+# This code is contributed by Bhavya Jain