Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

C. Fruits

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe spring is coming and it means that a lot of fruits appear on the counters. One sunny day little boy Valera decided to go shopping. He made a list of *m* fruits he wanted to buy. If Valera want to buy more than one fruit of some kind, he includes it into the list several times.

When he came to the fruit stall of Ashot, he saw that the seller hadn't distributed price tags to the goods, but put all price tags on the counter. Later Ashot will attach every price tag to some kind of fruits, and Valera will be able to count the total price of all fruits from his list. But Valera wants to know now what can be the smallest total price (in case of the most «lucky» for him distribution of price tags) and the largest total price (in case of the most «unlucky» for him distribution of price tags).

Input

The first line of the input contains two integer number *n* and *m* (1 ≤ *n*, *m* ≤ 100) — the number of price tags (which is equal to the number of different kinds of fruits that Ashot sells) and the number of items in Valera's list. The second line contains *n* space-separated positive integer numbers. Each of them doesn't exceed 100 and stands for the price of one fruit of some kind. The following *m* lines contain names of the fruits from the list. Each name is a non-empty string of small Latin letters which length doesn't exceed 32. It is guaranteed that the number of distinct fruits from the list is less of equal to *n*. Also it is known that the seller has in stock all fruits that Valera wants to buy.

Output

Print two numbers *a* and *b* (*a* ≤ *b*) — the minimum and the maximum possible sum which Valera may need to buy all fruits from his list.

Examples

Input

5 3

4 2 1 10 5

apple

orange

mango

Output

7 19

Input

6 5

3 5 1 6 8 1

peach

grapefruit

banana

orange

orange

Output

11 30

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/17/2017 14:32:54 (p1).

Desktop version, switch to mobile version.

User lists

Name |
---|