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SPOJ Problem Set (classical)

97. Party Schedule

Problem code: PARTY

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 0

Sample output:

49 26 48 32

Added by:Patryk Pomykalski
Date:2004-07-01
Time limit:3s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel Pentium G860 3GHz)
Languages:All except: SCM chicken
Resource:Swiss Olympiad in Informatics 2004

hide comments
2015-03-01 16:05:35 Mr.XOR
We do not need that extra loop outside that n*sum loop!! Although it doesn't change the complexity
2015-01-28 09:20:15 jobanpreet singh
Got WAs in C and NZECs in java just because i didnot read an empty line between two test cases. :(
Be careful.

Last edit: 2015-01-28 09:20:43
2015-01-23 16:38:11 Manoj Kumar Regar
max fun ... min entrance fee
2015-01-22 17:32:47 Roshan Choudhary
Am I the only one who has done it using Subset Sum..
2015-01-19 10:51:08 DEEPAK RISHI
Awesome question!!
2014-12-23 15:22:13 Vishesh Raimugia
2nd dp, thanks @Abhishek I was stuck but I found the test case
2014-12-21 21:55:31 Rachit Saxena
My First Knapsack and that too knapsack with two parameters. =D
Awesome problem...

Learned Knapsack (y)
2014-12-19 12:59:29 Rahul Jain
Isn't it 0-1 knapsack problem?
2014-12-17 09:57:34 sg
good one!! especially minimizing cost
2014-12-15 07:34:16 Abhishek
Remember , you want to spent the MINIMUM , to have the MAX fun .

check test cases at forum.
Costed me 1 WA
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