Problem:
Score : 400 points

Problem Statement

At an arcade, Takahashi is playing a game called RPS Battle, which is played as follows:

The player plays N rounds of Rock Paper Scissors against the machine. (See Notes for the description of Rock Paper Scissors. A draw also counts as a round.)

Each time the player wins a round, depending on which hand he/she uses, he/she earns the following score (no points for a draw or a loss):

R points for winning with Rock;

S points for winning with Scissors;

P points for winning with Paper.

However, in the i-th round, the player cannot use the hand he/she used in the (i-K)-th round. (In the first K rounds, the player can use any hand.)

Before the start of the game, the machine decides the hand it will play in each round. With supernatural power, Takahashi managed to read all of those hands.

The information Takahashi obtained is given as a string T. If the i-th character of T (1 \leq i \leq N) is r, the machine will play Rock in the i-th round. Similarly, p and s stand for Paper and Scissors, respectively.

What is the maximum total score earned in the game by adequately choosing the hand to play in each round?

Notes

In this problem, Rock Paper Scissors can be thought of as a two-player game, in which each player simultaneously forms Rock, Paper, or Scissors with a hand.

If a player chooses Rock and the other chooses Scissors, the player choosing Rock wins;

if a player chooses Scissors and the other chooses Paper, the player choosing Scissors wins;

if a player chooses Paper and the other chooses Rock, the player choosing Paper wins;

if both players play the same hand, it is a draw.

Constraints

2 \leq N \leq 10^5

1 \leq K \leq N-1

1 \leq R,S,P \leq 10^4

N,K,R,S, and P are all integers.

|T| = N

T consists of r, p, and s.

Input

Input is given from Standard Input in the following format:

N K
R S P
T

Output

Print the maximum total score earned in the game.

Sample Input 1

5 2
8 7 6
rsrpr

Sample Output 1

27

The machine will play {Rock, Scissors, Rock, Paper, Rock}.

We can, for example, play {Paper, Rock, Rock, Scissors, Paper} against it to earn 27 points.
We cannot earn more points, so the answer is 27.

Sample Input 2

7 1
100 10 1
ssssppr

Sample Output 2

211

Sample Input 3

30 5
325 234 123
rspsspspsrpspsppprpsprpssprpsr

Sample Output 3

4996

Solution in C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>

#define BUFSIZE (int)1e5+1 //10^5+1
#define BUFASCII 128

/// 与えられた手に勝つ手を返す関数。
char win_rsp(char hand){
    if(hand == 'r') return 'p';
    if(hand == 's') return 'r';
    if(hand == 'p') return 's';
    return '0';
}

int main(void){
    int N, K, R, S, P;
    char T[BUFSIZE];
    char showed[BUFSIZE]; // 出した手をメモする配列
    int i;
    int point[BUFASCII]; // 点数をメモする配列
    long long int ans = 0;


    scanf("%d %d", &N, &K);
    scanf("%d %d %d", &R, &S, &P);
    scanf("%s", T);

    // 文字を添字として使用。

    /*　？何故配列の添え字に文字を使用できるのか？について知らない場合読んで
    文字は数字と対応している
    printf("%c\n", 97); とするとアルファベット'a'が出力される
    10進数で'r' == 114, 's' == 115, 'p' == 112　である。
    詳しくはASCIIコードとか調べて分からなかったら教授に聞くといいかも
    */

    point['r'] = R;
    point['s'] = S;
    point['p'] = P;

    for(i = 0; i < N; i++){
        showed[i] = win_rsp(T[i]); // とりあえず勝つ手を出したい

        if(showed[i] == '0'){ // なんかミスってたら
            printf("error!\n");
            return 0;
        }

        if(i <= K){ // K回目未満のとき
            ans += point[showed[i]];
        }else{ // K回目以上のとき
            if(showed[i] == showed[i-K]){ // K回前も同じ手を出していたら
                showed[i] = '0'; // K回前と違う手を出す
            }else{ // K回前に違う手を出していたら
                ans += point[showed[i]];
            }
        }
    }

    printf("%lld\n", ans);
    
    return 0;
}