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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;

//update 2019/12/13

public class Main{

  static Scanner sc = new Scanner(System.in);

  public static void main(String[] args) {

    int n = nextInt();  int k = nextInt();
    int r = nextInt();  int s = nextInt();  int p = nextInt();
    String t = next();

    long ans = 0;

    String[] machine = splitString(t);

    //理想の手
    String[] ideal = win(machine);

    for(int i=0;i<k;i++){
      if(ideal[i].equals("p")){
        ans += p;
      }
      else if(ideal[i].equals("r")){
        ans += r;
      }
      else if(ideal[i].equals("s")){
        ans += s;
      }
    }

    //制限の調整
    for(int i=k;i<n;i++){
      int mae = i-k;
      if(ideal[mae].equals(ideal[i])){ //k回前と同じなら
        if(ideal[mae].equals("p")){
          ideal[i] = "r";
        }
        else if(ideal[mae].equals("r")){
          ideal[i] = "s";
        }
        else if(ideal[mae].equals("s")){
          ideal[i] = "p";
        }
      }
      else{ //k回前と同じでないなら、
        if(ideal[i].equals("p")){
          ans += p;
        }
        else if(ideal[i].equals("r")){
          ans += r;
        }
        else if(ideal[i].equals("s")){
          ans += s;
        }
      }
    }

    System.out.println(ans);


/*
    for(int i=0;i<n;i++){
      System.out.println("machine["+i+"]="+machine[i]);
    }
    for(int i=0;i<n;i++){
      System.out.println("real["+i+"]="+ideal[i]);
    }
*/

  }

  static String[] win(String[] machine){
    int lng = machine.length;
    String[] ideal = new String[lng];
    for(int i=0;i<lng;i++){
      if(machine[i].equals("r")){
        ideal[i] = "p";
      }
      else if(machine[i].equals("s")){
        ideal[i] = "r";
      }
      else if(machine[i].equals("p")){
        ideal[i] = "s";
      }
    }
    return ideal;
  }


  static String next(){
    return sc.next();
  }

  static int nextInt(){
    return Integer.parseInt(sc.next());
  }

  static long nextLong(){
    return Long.parseLong(sc.next());
  }

  static double nextDouble(){
    return Double.parseDouble(sc.next());
  }

  static String[] splitString(String s){
    return s.split("");
  }

  static char[] splitChar(String s){
    return s.toCharArray();
  }

  static int charToInt(char aaa){
    return aaa - 48;
  }

  public static int maxInt(int[] a,int lng){
    int max=a[0];
    for(int i=1;i<lng;i++){
      max = Math.max(max,a[i]);
    }
    return max;
  }

  public static int minInt(int[] a,int lng){
    int min=a[0];
    for(int i=1;i<lng;i++){
      min = Math.min(min,a[i]);
    }
    return min;
  }

  public static long maxLong(long[] a,int lng){
    long max=a[0];
    for(int i=1;i<lng;i++){
      max = Math.max(max,a[i]);
    }
    return max;
  }

  public static long minLong(long[] a,int lng){
    long min=a[0];
    for(int i=1;i<lng;i++){
      min = Math.min(min,a[i]);
    }
    return min;
  }

}