PARTY  Party Schedule
You just received another bill which you cannot pay because you lack the money.
Unfortunately, this is not the first time to happen, and now you decide to investigate the cause of your constant monetary shortness. The reason is quite obvious: the lion's share of your money routinely disappears at the entrance of party localities.
You make up your mind to solve the problem where it arises, namely at the parties themselves. You introduce a limit for your party budget and try to have the most possible fun with regard to this limit.
You inquire beforehand about the entrance fee to each party and estimate how much fun you might have there. The list is readily compiled, but how do you actually pick the parties that give you the most fun and do not exceed your budget?
Write a program which finds this optimal set of parties that offer the most fun. Keep in mind that your budget need not necessarily be reached exactly. Achieve the highest possible fun level, and do not spend more money than is absolutely necessary.
Input
The first line of the input specifies your party budget and the number n of parties.
The following n lines contain two numbers each. The first number indicates the entrance fee of each party. Parties cost between 5 and 25 francs. The second number indicates the amount of fun of each party, given as an integer number ranging from 0 to 10.
The budget will not exceed 500 and there will be at most 100 parties. All numbers are separated by a single space.
There are many test cases. Input ends with 0 0.
Output
For each test case your program must output the sum of the entrance fees and the sum of all fun values of an optimal solution. Both numbers must be separated by a single space.
Example
Sample input:
50 10 12 3 15 8 16 9 16 6 10 2 21 9 18 4 12 4 17 8 18 9 50 10 13 8 19 10 16 8 12 9 10 2 12 8 13 5 15 5 11 7 16 2 0 0Sample output:
49 26 48 32
hide comments
gohanssj9:
20151004 15:04:22
DP !! :) AC in 3rd attempt...Nice one! 

Sriharshaa Sammeta:
20150930 16:49:15
requires:


yash :
20150926 20:13:24
I'm writing in cpp its passing all the test cases in the comment and in the problem but getting a WA


ahmed abdel magied hussein:
20150926 06:19:42
easy problem about the classical dynamic programming (0/1 knapsack problem) Last edit: 20150926 07:19:27 

maxy:
20150919 09:19:51
Got right on Idle but not here...


tarunkc_code0:
20150820 14:37:46
Last edit: 20150830 17:02:03 

Babu:
20150820 09:39:01
traverse down ur memo to find the least money :) 

MAYANK NARULA:
20150819 18:28:00
Pretty Simple :)


SUBHAJIT GORAI:
20150819 18:16:17
optimal solution .....


rk:
20150817 08:23:35
nice one :) test case to ensure ur ans is correct

Added by:  Patryk Pomykalski 
Date:  20040701 
Time limit:  3s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel Pentium G860 3GHz) 
Languages:  All 
Resource:  Swiss Olympiad in Informatics 2004 