LCC/Moose '20 Contest 5 J2 - Puzzle Streaking

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Points: 5
Time limit: 2.0s
Memory limit: 64M

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Problem type

Justin is playing a chess puzzle minigame!

In this minigame, you start with N points. Based on if he solves the current puzzle or not, he will gain or lose score.

For each problem that Justin solves correctly, he gains 1 point. However, if he gets the problem wrong, he loses 3 points.

In this puzzle minigame, there is also a streak, which gives you bonus points if you solve some amount of problems correct in a row. If Justin manages to hit the streak, which is done by solving M problems in a row, he gains K points and his streak resets to 0. Otherwise, if he gets a problem wrong, his streak also resets to 0 and he gets no bonus points from the streak.

Justin is planning to solve Q problems in total, but he may not be able to, if he runs out of points before he solves all the puzzles. Given Q results, either AC for a solved puzzle or WA for an incorrect solve, figure out how many points he will end with, or if he loses all of his points(0 or negative values) before the Q puzzles, he gets 0 score.

Input Specification

The first line will contain 3 integers N, Q, M and K, representing the number of points you start off with, the number of puzzles, the streak value, and the bonus points you get for hitting a specific streak, respectively. It is guaranteed that all of these values will be between 1 and 10^3.

Output Specification

Output one integer, the number of points that Justin ends with after doing the Q puzzles, or 0 if he loses all of his points before solving all of them.

Sample Input 1

65 5 5 5
AC
AC
AC
AC
AC

Sample Output 1

75

Sample Explanation

Justin starts off with 65 points, and he solved 5 problems, so he gets 1 point for each of them. However, he also hits the streak of 5, so he gains 5 points, totaling up to 75 points.

Sample Input 2

1 7 5 6
AC
AC
AC
AC
WA
WA
AC

Sample Output 2

0

Sample Explanation 2

Justin started off with 1 point, solved 4 problems, so he has 5 points. However, he got 2 wrong, so he loses 6 points, thus going into negatives. Because of this, we print 0.


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