Problem: In one well-known algorithm of finding the k-th order statistics we should divide all elements into groups of five consecutive elements and find the median of each five. A median is called the middle element of a sorted array (it's the third largest element for a group of five). To increase the algorithm's performance speed on a modern video card, you should be able to find a sum of medians in each five of the array.

A sum of medians of a sorted k-element set S = {a1, a2, ..., ak}, where a1 < a2 < a3 < ... < ak, will be understood by as 

<image>

The <image> operator stands for taking the remainder, that is <image> stands for the remainder of dividing x by y.

To organize exercise testing quickly calculating the sum of medians for a changing set was needed.

Input

The first line contains number n (1 ≤ n ≤ 105), the number of operations performed.

Then each of n lines contains the description of one of the three operations: 

  * add x — add the element x to the set; 
  * del x — delete the element x from the set; 
  * sum — find the sum of medians of the set. 



For any add x operation it is true that the element x is not included in the set directly before the operation.

For any del x operation it is true that the element x is included in the set directly before the operation.

All the numbers in the input are positive integers, not exceeding 109.

Output

For each operation sum print on the single line the sum of medians of the current set. If the set is empty, print 0.

Please, do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams (also you may use the %I64d specificator).

Examples

Input

6
add 4
add 5
add 1
add 2
add 3
sum


Output

3


Input

14
add 1
add 7
add 2
add 5
sum
add 6
add 8
add 9
add 3
add 4
add 10
sum
del 1
sum


Output

5
11
13

Solution (in JAVA):

Solution:
import java.io.*;

import java.lang.reflect.Array;
import java.util.*;
import java.lang.*;
import java.util.function.BinaryOperator;

public class Main {
    final static boolean debug = false;
    final static String fileName = "";
    final static boolean useFiles = false;

    public static void main(String[] args) throws FileNotFoundException {
        long start;
        if (debug)
            start = System.nanoTime();
        InputStream inputStream;
        OutputStream outputStream;
        if (useFiles) {
            inputStream = new FileInputStream(fileName + ".in");
            outputStream = new FileOutputStream(fileName + ".out");
        } else {
            inputStream = System.in;
            outputStream = System.out;
        }
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Task solver = new Task(in, out);
        solver.solve();
        if(debug)
            out.println((System.nanoTime() - start) / 1e+9);
        out.close();
    }
}

class Item {
    long[] count;
    int size;

    Item(long[] count, int size) {
        this.count = count;
        this.size = size;
    }

    static Item combine(Item a, Item b) {
        if (a == null)
            return b;
        if (b == null)
            return a;
        long[] count = new long[5];
        int sz = a.size % 5;
        for (int i = 0; i < 5; i++) {
            count[i] = a.count[i] + b.count[(i - sz + 5) % 5];
        }
        return new Item(count, a.size + b.size);
    }
}

class SegmentTree {
    private Item[] t;
    private int n;

    SegmentTree(int n) {
        this.n = n;
        t = new Item[n << 2];
    }

    Item get(int l, int r) {
        if (l > n || r > n || 0 > l || 0 > r)
            throw new IllegalArgumentException("indices: (" + l + ", " + r + ") . Bounds: (0, "+ (n - 1));
        return get(0, 0, n - 1, l, r);
    }

    void set(int index, Item value) {
        if (0 > index || index > n)
            throw new IllegalArgumentException("index: " + index + ". Bounds: " + (n - 1));
        set(0, 0, n - 1, index, value);
    }

    private Item get(int v, int tl, int tr, int l, int r) {
        if (l > r)
            return null;
        if (tl == l && tr == r)
            return t[v];
        int tm = (tl + tr) >> 1;
        return Item.combine(get(2 * v + 1, tl, tm, l, Math.min(tm, r)),
                get(2 * v + 2, tm + 1, tr, Math.max(tm + 1, l), r));
    }

    private void set(int v, int tl, int tr, int index, Item value) {
        if (tr == tl)
            t[v] = value;
        else {
            int tm = (tl + tr) >> 1;
            if (index <= tm)
                set(2 * v + 1, tl, tm, index, value);
            else
                set(2 * v + 2, tm + 1, tr, index, value);
            t[v] = Item.combine(t[2 * v + 1], t[2 * v + 2]);
        }
    }
}

class Task {
    int[] order;
    int[] t;
    public void solve() {
        int n = in.nextInt();
        String[] types = new String[n];
        int[] parameters = new int[n];
        Arrays.fill(parameters, Integer.MAX_VALUE);
        for (int i = 0; i < n; i++) {
            types[i] = in.next();
            if (!types[i].equals("sum")) {
                parameters[i] = in.nextInt();
            }
        }
        int[] all = parameters.clone();
        Arrays.sort(all);
        order = new int[n];
        Arrays.fill(order, Integer.MAX_VALUE);
        order[0] = all[0];
        int top = 1;
        for (int i = 1; i < n; i++) {
            if (all[i] != all[i - 1])
                order[top++] = all[i];
        }
        SegmentTree tree = new SegmentTree(top);
        for (int i = 0; i < n; i++) {
            if (types[i].equals("sum")) {
                Item item = tree.get(0, top - 1);
                out.println(item == null ? 0 : item.count[2]);
//                for (int j = 0; j < 5; j++)
//                    out.print(count[j] + " ");
//                out.println();
            } else {
                int index = Arrays.binarySearch(order, parameters[i]);
//                out.println(parameters[i] + " " + index);
//                out.flush();
                if (types[i].equals("add")) {
                    long[] count = new long[5];
                    count[0] = parameters[i];
                    tree.set(index, new Item(count, 1));
                } else {
                    tree.set(index, new Item(new long[5], 0));
                }
            }
        }
    }

    private InputReader in;
    private PrintWriter out;

    Task(InputReader in, PrintWriter out) {
        this.in = in;
        this.out = out;
    }
}

class InputReader {
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream), 32768);
        tokenizer = null;
    }

    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public String nextLine() {
        try {
            return reader.readLine();
        } catch (IOException e) {
            throw new RuntimeException(e);
        }
    }

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

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

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

    public byte nextByte(){
        return Byte.parseByte(next());
    }
}