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KNAPSACK - The Knapsack Problem

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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:2008-11-10
Time limit:0.240s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel Pentium G860 3GHz)
Languages:All except: ERL JS NODEJS PERL 6 VB.net

hide comments
xceptor: 2015-08-11 22:20:54

Recursive approach gives TLE but dp gives AC -_-

Amanpreet Singh: 2015-07-11 17:26:18

Ac in second attempt. :P
first dp ques.
excited for the further journey

uptoyou: 2015-07-04 10:59:24

AC in one go :))

Rishabh Prasad: 2015-06-23 21:32:46

can anyone please the explain the output?

rohit_dhan: 2015-06-16 14:18:12

First dp...

nerd: 2015-01-12 18:24:59

my first dp :)

(Tjandra Satria Gunawan)(曾毅昆): 2015-01-04 20:29:50

Pyramid cluster unavailable for now, all new submission to this problem (and any pyramid problem) rejected :-O

EDIT: Now it has been fixed :-)

Last edit: 2015-01-04 20:29:35
Baratheraja R N: 2013-12-06 18:40:41

simliar problem: WACHOVIA

Ouditchya Sinha: 2013-03-12 16:38:30

Great problem for beginners like me... :)

flareneos: 2011-10-31 06:25:40

You can't take item more than once ?