Problem C.Storage Keepers

Background

   Randy Company has N (1<=N<=100) storages. Company wants some men to keep them safe. Now there are M (1<=M<=30) men asking for the job. Company will choose several from them. Randy Company employs men following these rules:

1.       Each keeper has a number Pi (1<=Pi<=1000) , which stands for their ability.

2.       All storages are the same as each other.

3.       A storage can only be lookd after by one keeper. But a keeper can look after several storages. If a keeper’s ability number is Pi, and he looks after K storages, each storage that he looks after has a safe number Uj=Pi div K.(Note: Uj, Pi and K are all integers). The storage which is looked after by nobody will get a number 0.

4.       If all the storages is at least given to a man, company will get a safe line L=min Uj

5.       Every month Randy Company will give each employed keeper a wage according to his ability number. That means, if a keeper’s ability number is Pi, he will get Pi dollars every month. The total money company will pay the keepers every month is Y dollars.

  Now Randy Company gives you a list that contains all information about N,M,P, your task is give company a best choice of the keepers to make the company pay the least money under the condition that the safe line L is the highest.

Input

The input file contains several scenarios. Each of them consists of 2 lines:

  The first line consists of two numbers (N and M), the second line consists of M numbers, meaning Pi (I=1..M). There is only one space between two border numbers.

  The input file is ended with N=0 and M=0.

Output

  For each scenario, print a line containing two numbers L(max) and Y(min). There should be a space between them.

Sample Input

2 1

7

1 2

10 9

2 5

10 8 6 4 1

5 4

1 1 1 1

0 0

Sample Output

3 7

10 10

8 18

0 0