Problem Description
Welcome to KFC!
We love KFC, but we hate the looooooooooong queue.
Z is a programmer; he’s got an idea on the queue time computing.
Z chooses the shortest queue at first time.
He wrote a j2me program to predicate the time he have to wait in the queue. Now, he comes to KFC to test his program.
BUT, he ignored some important things to get the precise time.
- People choose different foods
- Time used on foods various W encountered him just while his wondering on the problem, so he discussed it with HER. W suggested that they can add variables to this
- A type ,who is looking down on the cell phone novel should come here alone, will call for 1 hamburger, 1 drink and 1 small fries
- B type, two talkative lovers, 1 hamburger and 1 drink for each one and another big fires
- C type, middle aged father/mother looks, brings their child out. 3 hamburgers, 3 drinks and two big friezes. Generally represent the types usually appear, not the exactly math work. They reprogram the app on W’s HTC-G1 with bash, run it and go for the fastest queue.
Input
Input contains multiple test cases, and for each case:
First line: n B D f F, stands for n queues, time for hamburger B, time for Drink D, time for small fries f, time for big Fries F.
The next n lines: the types of each line using ABC characters.
(1<n,B,D,f,F<=100)
Output
For each case, please output the least time to wait in one line.
Sample Input
3 2 2 1 2
ABCCBACBCBAB
CBCBABBCBA
ABC
Sample Output
31
