From 233a88078e27774864dfeba600ab8629a445d35c Mon Sep 17 00:00:00 2001
From: pkdism <pawan.dwivedi94@gmail.com>
Date: Thu, 1 Dec 2016 19:44:32 +0530
Subject: [PATCH] Add cut rod problem

---
 Dynamic Programming/Cut Rod.cpp | 29 +++++++++++++++++++++++++++++
 1 file changed, 29 insertions(+)
 create mode 100644 Dynamic Programming/Cut Rod.cpp

diff --git a/Dynamic Programming/Cut Rod.cpp b/Dynamic Programming/Cut Rod.cpp
new file mode 100644
index 000000000..90e12a532
--- /dev/null
+++ b/Dynamic Programming/Cut Rod.cpp	
@@ -0,0 +1,29 @@
+/*Given a rod of length n inches and an array of prices that 
+contains prices of all pieces of size smaller than n. Determine 
+the maximum value obtainable by cutting up the rod and selling 
+the pieces.*/
+
+#include <bits/stdc++.h>
+using namespace std;
+int cutrod(int p[],int n)
+{
+    int r[n+1];
+    r[0]=0;
+    for(int j=0;j<n;j++)
+    {
+        int q=INT_MIN;
+        for(int i=0;i<=j;i++)
+        {
+            q = max(q,p[i]+r[j-i]);
+        }
+        r[j+1]=q;
+    }
+    return r[n];
+}
+int main()
+{
+    int price[]={1,5,8,9,10,17,17,20,24,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50};
+    cout<<cutrod(price,30);
+    return 0;
+}
+