Problem 55290. Cut the rod

A rod of length n can be cut in different sizes. Different price is associated with different length of cuts.
  • length, len= [1, 2, 3, 4, 5, 6, 7, 8]
  • price, p = [1, 5, 8, 9,10,17,17,20]
Here, if you cut a piece of length 5, the price for that piece is 10. For length of 8, the price is 20.
Say, you have to obtain a rod of length x. By cutting the rod in which way will give you the maximum price.
For instance, say x=4. you can cut the rod in pieces like (1,3)/(3,1), (2,2), (1,1,1,1), (1,1,2)/(1,2,1)/... or (4).
The maximum revenue that you can get here is when you cut the rod in (2,2) pieces to get length x => 5+5=10.
For (1,3)=>9; (1,1,1,1)=> 4; (1,1,2)=>7, (4)=>9.
In this problem, you have to return the maximum reveneue you can obtain by cutting the rod of size x.

Solution Stats

80.0% Correct | 20.0% Incorrect
Last Solution submitted on May 03, 2024

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