Merge pull request #547 from vidhanjhawar/master

added rod cutting problem in dynamic programming

Author: probot-auto-merge[bot]

Dynamic Programming/Rod_cutting_problem/rod_cutting_problem.py

@@ -0,0 +1,29 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Oct 23 21:49:30 2019
+
+@author: Lenovo
+"""
+
+INT_MIN = -999999
+  
+# 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)))