TRT  Treats for the Cows
FJ has purchased N (1 <= N <= 2000) yummy treats for the cows who get money for giving vast amounts of milk. FJ sells one treat per day and wants to maximize the money he receives over a given period time. The treats are interesting for many reasons:
 The treats are numbered 1..N and stored sequentially in single file in a long box that is open at both ends. On any day, FJ can retrieve one treat from either end of his stash of treats.
 Like fine wines and delicious cheeses, the treats improve with age and command greater prices.
 The treats are not uniform: some are better and have higher intrinsic value. Treat i has value v(i) (1 <= v(i) <= 1000).
 Cows pay more for treats that have aged longer: a cow will pay v(i)*a for a treat of age a.
Given the values v(i) of each of the treats lined up in order of the index i in their box, what is the greatest value FJ can receive for them if he orders their sale optimally?
The first treat is sold on day 1 and has age a=1. Each subsequent day increases the age by 1.
Input
Line 1: A single integer, N
Lines 2..N+1: Line i+1 contains the value of treat v(i)
Output
The maximum revenue FJ can achieve by selling the treats
Example
Input: 5 1 3 1 5 2 Output: 43
hide comments
AC:
20141019 13:20:07
Last edit: 20141019 16:04:44 

Sba Baranwal:
20141018 10:48:03
whats wrong with 12th case???


jack sparrow:
20141015 19:48:22
first make recusion solution and then use memoization :D 

അഭി :
20141012 11:52:04
Try to do in O(N) space. Last edit: 20141012 12:43:45 

Rajat (1307086):
20141008 16:24:29
Can't believe I solved it without any help. .... 

Diptesh Patel:
20140929 09:47:28
what is wrong with case:12 ? :( 

Kishlay Raj:
20140922 14:27:12
my 50th cakewalk :P 

Deepanker Aggarwal:
20140920 16:50:58
50th :)...Btw any clues on how can this be done iteratively? 

Arun Karthikeyan:
20140913 19:54:33
Java Recursion TLE, same soln AC in C++

Added by:  Nguyen Van Quang Huy 
Date:  20060215 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 VB.NET 
Resource:  USACO FEB06 Gold Division 