Given the schedule of Chef for 30 days (A binary string of length 30 where '0' denotes that Chef was on leave and '1' denotes Chef was working on that day). Chef gets X− Rs for every day he worked. As working continuously for a long time is hectic so Company introduced the following policy to give a bonus to its employees.
The company will check the longest streak for which an employee has worked and will award Y− Rs for every day of that streak as a bonus. Calculate the salary received by Chef (including the bonus). Note: Rs represents the currency of Chefland, and if there are two or more longest streaks of the same length, only one is counted for the bonus.
Input Format
The first line contains an integer T denoting the number of test cases. The T test cases then follow.
The first line of each test case contains X and Y.
Second line contains a binary string (i.e it contains only ‘0’ / ‘1’), where '0' denotes that Chef was on leave and '1' denotes Chef was working on that day.
Output Format
For each testcase, output in a single line answer to the problem. i.e The salary received by Chef (including the bonus).
Sample Input 1 :
3
6 3
111100110101100000101100011111
8 2
111010111101001010100100111101
5 6
011101010100101000001101000010
Sample Output 1 :
117
152
78
Explanation
Testcase 1:
Chef's actual pay comes out 17⋅6=102− Rs and the length of longest continuous working streak comes out 5 (the last 5 working days), so bonus reward becomes 5⋅3=15− Rs. Hence Chef's salary comes out to be 102+15=117− Rs.
Testcase 2:
Chef's actual pay comes out 144− Rs and the length of longest continuous working streak comes out 4 (here there are multiple occurrences of the longest working streak, so company selects any one of them), so bonus reward becomes 8− Rs. Hence Chef's salary comes out to be 152− Rs.
Solution
To run the code paste sample input in Stdin Inputs