Problem: Due to the increase in the number of students of Berland State University it was decided to equip a new computer room. You were given the task of buying mouses, and you have to spend as little as possible. After all, the country is in crisis!

The computers bought for the room were different. Some of them had only USB ports, some — only PS/2 ports, and some had both options.

You have found a price list of a certain computer shop. In it, for m mouses it is specified the cost and the type of the port that is required to plug the mouse in (USB or PS/2). Each mouse from the list can be bought at most once.

You want to buy some set of mouses from the given price list in such a way so that you maximize the number of computers equipped with mouses (it is not guaranteed that you will be able to equip all of the computers), and in case of equality of this value you want to minimize the total cost of mouses you will buy.

Input

The first line contains three integers a, b and c (0 ≤ a, b, c ≤ 105) — the number of computers that only have USB ports, the number of computers, that only have PS/2 ports, and the number of computers, that have both options, respectively.

The next line contains one integer m (0 ≤ m ≤ 3·105) — the number of mouses in the price list.

The next m lines each describe another mouse. The i-th line contains first integer vali (1 ≤ vali ≤ 109) — the cost of the i-th mouse, then the type of port (USB or PS/2) that is required to plug the mouse in.

Output

Output two integers separated by space — the number of equipped computers and the total cost of the mouses you will buy.

Example

Input

2 1 1
4
5 USB
6 PS/2
3 PS/2
7 PS/2


Output

3 14

Note

In the first example you can buy the first three mouses. This way you will equip one of the computers that has only a USB port with a USB mouse, and the two PS/2 mouses you will plug into the computer with PS/2 port and the computer with both ports.

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
public class codeforces {
  public static class FastIO {
    InputStream dis;
    byte[] buffer = new byte[1 << 17];
    int pointer = 0;
    public FastIO(String fileName) throws Exception {
      dis = new FileInputStream(fileName);
    }
    public FastIO(InputStream is) throws Exception {
      dis = is;
    }
    public int nextInt() throws Exception {
      int ret = 0;
      byte b;
      do {
          b = nextByte();
      } while (b <= ' ');
      boolean negative = false;
      if (b == '-') {
          negative = true;
          b = nextByte();
      }
      while (b >= '0' && b <= '9') {
          ret = 10 * ret + b - '0';
          b = nextByte();
      }
      return (negative) ? -ret : ret;
    }
    public long nextLong() throws Exception {
      long ret = 0;
      byte b;
      do {
          b = nextByte();
      } while (b <= ' ');
      boolean negative = false;
      if (b == '-') {
          negative = true;
          b = nextByte();
      }
      while (b >= '0' && b <= '9') {
          ret = 10 * ret + b - '0';
          b = nextByte();
      }
      return (negative) ? -ret : ret;
    }
    public byte nextByte() throws Exception {
      if (pointer == buffer.length) {
          dis.read(buffer, 0, buffer.length);
          pointer = 0;
      }
      return buffer[pointer++];
    }
    public String next() throws Exception {
      StringBuffer ret = new StringBuffer();
      byte b;
      do {
          b = nextByte();
      } while (b <= ' ');
      while (b > ' ') {
          ret.appendCodePoint(b);
          b = nextByte();
      }
      return ret.toString();
    }
  } 
    

  // static TreeMap<Integer, Integer> multiset = new TreeMap<Integer, Integer>();
  
  // static void add(int x){
  //   if(multiset.containsKey(x)){
  //     multiset.put(x, multiset.get(x) + 1);
  //   } else {
  //     multiset.put(x, 1);
  //   }
  // }
  
  // static void remove(int x){
  //   multiset.put(x, multiset.get(x) - 1);
  //   if(multiset.get(x) == 0){
  //     multiset.remove(x);
  //   }
  // }
  static class Mouse implements Comparable<Mouse>{
    int amn;
    String name;
    public Mouse(int amn, String name){
      this.amn = amn;
      this.name = name;
    }
    public int compareTo(Mouse m){
      return this.amn - m.amn;
    }

  }
  public static void main(String[] args) throws Exception {
    FastIO r = new FastIO(System.in);
    int a = r.nextInt(), b = r.nextInt(), c = r.nextInt(),m = r.nextInt();
    int amn = 0;
    long cost = 0;
    ArrayList<Mouse> mice = new ArrayList<Mouse>();
    for(int i = 0; i < m; i++){
      mice.add(new Mouse(r.nextInt(), r.next()));
    }
    Collections.sort(mice);
    for(Mouse mo : mice){
      if(mo.name.equals("USB")){
        if(a > 0){
          a--;
          cost += mo.amn;
          amn++;
        }
        else if(c > 0){
          c--;
          amn++;
          cost += mo.amn;
        }
      }
      else{
        if(b > 0){
          b--;
          cost += mo.amn;
          amn++;
        }
        else if(c > 0){
          cost += mo.amn;
          amn++;
          c--;
        }
      }
    }

    System.out.println(amn + " " + cost);
  }

}