MIXTURES  Mixtures
Harry Potter has n mixtures in front of him, arranged in a row. Each mixture has one of 100 different colors (colors have numbers from 0 to 99).
He wants to mix all these mixtures together. At each step, he is going to take two mixtures that stand next to each other and mix them together, and put the resulting mixture in their place.
When mixing two mixtures of colors a and b, the resulting mixture will have the color (a+b) mod 100.
Also, there will be some smoke in the process. The amount of smoke generated when mixing two mixtures of colors a and b is a*b.
Find out what is the minimum amount of smoke that Harry can get when mixing all the mixtures together.
Input
There will be a number of test cases in the input.
The first line of each test case will contain n, the number of mixtures, 1 <= n <= 100.
The second line will contain n integers between 0 and 99  the initial colors of the mixtures.
Output
For each test case, output the minimum amount of smoke.
Example
Input: 2 18 19 3 40 60 20 Output: 342 2400
In the second test case, there are two possibilities:
 first mix 40 and 60 (smoke: 2400), getting 0, then mix 0 and 20 (smoke: 0); total amount of smoke is 2400
 first mix 60 and 20 (smoke: 1200), getting 80, then mix 40 and 80 (smoke: 3200); total amount of smoke is 4400
The first scenario is a much better way to proceed.
hide comments
castor21:
20180617 08:06:58
dont use your brain it will give wrong answer


krp1999:
20180606 12:19:02
How to handle such type of input in python3??


x0r19x91:
20180331 23:27:18
AC in one go ! 

bani_raheja:
20180328 22:14:39
@kmkhan_014 Kaleem Placed! 

ameyanator:
20180222 22:22:44
Awesome problem! It was fun to find the dp. However I couldn't code a clean implementation of the topdown approach. The comments pointed towards MCM. Read it,studied it ACed it :D 

kmkhan_014:
20180212 09:46:49
@blame the range of co


amulyagaur:
20171221 16:30:35
Took some time... but the outcome was joyful !!


atharva_sarage:
20171219 05:52:48
what should be the answer for test case


kmkhan_014:
20171212 21:21:00
Last edit: 20180511 22:47:28 

Muhammad Faishol Amirul Mukminin:
20171001 11:17:44
The first line of the input is not the number of testcases. But you must read until EOF. Last edit: 20171001 11:24:59 
Added by:  Tomek Czajka 
Date:  20050503 
Time limit:  3s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL6 VB.NET 
Resource:  Purdue Programming Contest Training 