字符串练习题：H - Another String Game

来源：Sichuan State Programming Contest 2014 Final

H - Another String Game

Time Limit: 3000/1000MS (Java/Others) Memory Limit: 65535/65535KB (Java/Others)

Bob and Alice like playing games together. Today, they come up with a new string game.

The rule of this game is like the following statement:

Initially, Alice has a string A.
Then Bob can choose a prefix of string A
as his initial string B
and pay a cost equals the length of his initial string
B
multiplied by X.
(for example: if Alice's string is

abc

, then Bob can choose

a

and payX
cost, or choose

ab

and pay 2×X
cost, or choose

abc

and pay 3×X
cost)

After that,Bob can perform the following two operations:

Operation I: Connect a copy of his string after his string, and pay a cost equalsY.
(for example: after performing operation 1
Bob can change

ab

to

abab

or change

aac

to

aacaac

).

Operation II: Delete a suffix of his string, and pay a cost equals
Z.(for
example: after performing operation 2
Bob can change

abcd

to

a

,

ab

, or

abc

).

When Bob's string is the same as Alice's string, the game is end.Now, Bob wonders what's the minimum total cost he must pay after the end of the game?

Input

There is an integer T
in the first line, indicates the number of test cases.

For each case, the first line contains a string
A,
which is Alice's string, it only contains lowercase letters.

The second line contains three integer X,Y,Z,
as mentioned in the description.

1≤T≤60

1≤|A|≤105

1≤X,Y,Z≤10

Output

For each test, output "Case #i: " first, i
is the case number, from 1
to T.
Then output an integer in one line, which is the minimum cost Bob must pay.

Sample input and output

Sample Input	Sample Output
3 abcab 1 2 4 abcab 2 2 1 aaaaaaaa 1 1 1	Case #1: 5 Case #2: 9 Case #3: 4