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Rod Cutting

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1. You are given an integer N, which represents the length of a rod, and an array of integers, which represents the prices of rod pieces of length varying from 1 to 
     N.
2. You have to find the maximum value that can be obtained by selling the rod.
3. You can sell it in pieces or as a whole.
Input Format 
A number N
arr1
arr2.. N integers
Output Format 
Check the sample output and question video.
Question Video
Constraints 
1 <= N <= 100000
1 <= arr[i] <= 10^8
Sample Input 
8
1   
5   
8   
9  
10 
17  
17  
20
Sample Output 
22


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