formatting filenames d7af6fdc8c

dynamic_programming/cut_rod.cpp

@@ -0,0 +1,28 @@
+/*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 <iostream>
+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;
+}