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  1. Practice
  2. Algorithms
  3. Strings
  4. Build a String

Build a String

Greg wants to build a string, of length . Starting with an empty string, he can perform operations:

  1. Add a character to the end of for dollars.
  2. Copy any substring of , and then add it to the end of for dollars.

Calculate minimum amount of money Greg needs to build .

Input Format

The first line contains number of testcases .

The subsequent lines each describe a test case over lines:
The first contains space-separated integers, , , and , respectively.
The second contains (the string Greg wishes to build).

Constraints

  • is composed of lowercase letters only.

Output Format

On a single line for each test case, print the minimum cost (as an integer) to build .

Sample Input

2
9 4 5
aabaacaba
9 8 9
bacbacacb

Sample Output

26
42

Explanation

Test Case 0:
""; ""
Append ""; ""; cost is
Append ""; ""; cost is
Append ""; ""; cost is
Copy and append ""; ""; cost is
Append ""; ""; cost is
Copy and append ""; ""; cost is

Summing each cost, we get , so our output for Test Case 1 is .

Test Case 1:
""; ""
Append ""; ""; cost is
Append ""; ""; cost is
Append ""; ""; cost is
Copy and append ""; ""; cost is
Copy and append ""; ""; cost is

Summing each cost, we get , so our output for Test Case 2 is .