KNAPSACK  The Knapsack Problem
The famous knapsack problem. You are packing for a vacation on the sea side and you are going to carry only one bag with capacity S (1 <= S <= 2000). You also have N (1<= N <= 2000) items that you might want to take with you to the sea side. Unfortunately you can not fit all of them in the knapsack so you will have to choose. For each item you are given its size and its value. You want to maximize the total value of all the items you are going to bring. What is this maximum total value?
Input
On the first line you are given S and N. N lines follow with two integers on each line describing one of your items. The first number is the size of the item and the next is the value of the item.
Output
You should output a single integer on one like  the total maximum value from the best choice of items for your trip.
Example
Input: 4 5 1 8 2 4 3 0 2 5 2 3 Output: 13
Added by:  Nikola P Borisov 
Date:  20081110 
Time limit:  0.240s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel Pentium G860 3GHz) 
Languages:  All except: ERL JS NODEJS PERL 6 SCM chicken VB.net 
hide comments
nerd:
20150112 18:24:59
my first dp :) 

(Tjandra Satria Gunawan)(æ›¾æ¯…æ˜†):
20150104 20:29:50
Pyramid cluster unavailable for now, all new submission to this problem (and any pyramid problem) rejected :O


Baratheraja R N:
20131206 18:40:41
simliar problem: WACHOVIA


Ouditchya Sinha:
20130312 16:38:30
Great problem for beginners like me... :) 

flareneos:
20111031 06:25:40
You can't take item more than once ? 

.:: Pratik ::.:
20090402 07:32:02
Why are these problems in classical. should they not be in Tutorial mode? 

Srinivas Iyengar:
20090402 07:32:02
Classical 01 Knapsack Problem. Last edit: 20090228 05:49:36 