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.BufferedReader;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.BitSet;
import java.util.Calendar;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.PriorityQueue;
import java.util.SortedSet;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.TreeSet;

/**
 * #
 * 
 * @author pttrung
 */
public class D_Yandex2011_Round1 {

	public static long MOD = 1000000007;

	public static void main(String[] args) throws FileNotFoundException {
		// PrintWriter out = new PrintWriter(new FileOutputStream(new File(
		// "output.txt")));
		PrintWriter out = new PrintWriter(System.out);
		Scanner in = new Scanner();
		int n = in.nextInt();

		int[] add = new int[n];
		int[] num = new int[n];
		TreeSet<Integer> number = new TreeSet();
		for (int i = 0; i < n; i++) {
			String v = in.next();
			if ("add".equals(v)) {
				add[i] = 1;
				num[i] = in.nextInt();
				number.add(num[i]);
			} else if ("del".equals(v)) {
				add[i] = -1;
				num[i] = in.nextInt();
				number.add(num[i]);
			}

		}

		HashMap<Integer, Integer> map = new HashMap(number.size());
		HashMap<Integer, Integer> rev = new HashMap(number.size());
		int index = 0;
		for (int i : number) {
			map.put(i, index);
			rev.put(index, i);
			index++;
		}

		for (int i = 0; i < n; i++) {
			if (add[i] != 0) {
				num[i] = map.get(num[i]);
			}
		}
		Node root = new Node(0, number.size() - 1);
		for (int i = 0; i < n; i++) {
			if (add[i] == 1) {
				update(num[i], rev.get(num[i]), 0, root);
				// System.out.println(Arrays.toString(root.val));
			} else if (add[i] == -1) {
				delete(num[i], 0, root);
			} else {
				out.println(root.val[2]);
			}
		}

		out.close();
	}

	static void delete(int index, int skip, Node node) {
		if (node.l > index || node.r < index) {

			node.skip += skip;
			node.skip %= 5;
			// System.out.println("PREVIOUS " + Arrays.toString(node.val) + " "
			// + skip);
			long[] tmp = Arrays.copyOf(node.val, node.val.length);
			for (int i = 0; i < 5; i++) {
				node.val[(i + skip) % 5] = tmp[i];
			}
			// System.out.println("MOVE " + node + " " +
			// Arrays.toString(node.val));
			return;

		}
		if (node.l == index && node.r == index) {
			node.skip += skip;
			node.skip %= 5;
			Arrays.fill(node.val, 0);
			node.val[node.skip] = 0;
			// System.out.println(node + " " + Arrays.toString(node.val));
			return;
		}
		int mid = (node.l + node.r) / 2;
		if (node.left == null) {
			node.left = new Node(node.l, mid);
			node.right = new Node(mid + 1, node.r);
		}
		skip += node.skip;
		skip %= 5;
		node.skip = 0;
		delete(index, skip, node.left);
		if (index < mid + 1) {
			delete(index, (skip - 1 + 5) % 5, node.right);
		} else {
			delete(index, skip, node.right);
		}
		for (int i = 0; i < 5; i++) {
			node.val[i] = node.left.val[i] + node.right.val[i];
		}
		// System.out.println(node + " " + Arrays.toString(node.val));
		return;
	}

	static void update(int index, int val, int skip, Node node) {
		if (node.l > index || node.r < index) {

			node.skip += skip;
			node.skip %= 5;
			// System.out.println("PREVIOUS " + Arrays.toString(node.val) + " "
			// + skip);
			long[] tmp = Arrays.copyOf(node.val, node.val.length);
			for (int i = 0; i < 5; i++) {
				node.val[(i + skip) % 5] = tmp[i];
			}
			// System.out.println("MOVE " + node + " " +
			// Arrays.toString(node.val));
			return;

		}
		if (node.l == index && node.r == index) {
			node.skip += skip;
			node.skip %= 5;
			Arrays.fill(node.val, 0);
			node.val[node.skip] = val;
			// System.out.println(node + " " + Arrays.toString(node.val));
			return;
		}
		int mid = (node.l + node.r) / 2;
		if (node.left == null) {
			node.left = new Node(node.l, mid);
			node.right = new Node(mid + 1, node.r);
		}
		skip += node.skip;
		skip %= 5;
		node.skip = 0;
		update(index, val, skip, node.left);
		if (index < mid + 1) {
			update(index, val, (skip + 1) % 5, node.right);
		} else {
			update(index, val, skip, node.right);
		}
		for (int i = 0; i < 5; i++) {
			node.val[i] = node.left.val[i] + node.right.val[i];
		}
		// System.out.println(node + " " + Arrays.toString(node.val));
		return;

	}

	static class Node {
		int l, r;
		long[] val = new long[5];
		int skip;
		Node left, right;

		Node(int l, int r) {
			this.l = l;
			this.r = r;
		}

		@Override
		public String toString() {
			return "Node [l=" + l + ", r=" + r + ", skip=" + skip + "]";
		}

	}

	public static int[] KMP(String val) {
		int i = 0;
		int j = -1;
		int[] result = new int[val.length() + 1];
		result[0] = -1;
		while (i < val.length()) {
			while (j >= 0 && val.charAt(j) != val.charAt(i)) {
				j = result[j];
			}
			j++;
			i++;
			result[i] = j;
		}
		return result;

	}

	public static boolean nextPer(int[] data) {
		int i = data.length - 1;
		while (i > 0 && data[i] < data[i - 1]) {
			i--;
		}
		if (i == 0) {
			return false;
		}
		int j = data.length - 1;
		while (data[j] < data[i - 1]) {
			j--;
		}
		int temp = data[i - 1];
		data[i - 1] = data[j];
		data[j] = temp;
		Arrays.sort(data, i, data.length);
		return true;
	}

	public static int digit(long n) {
		int result = 0;
		while (n > 0) {
			n /= 10;
			result++;
		}
		return result;
	}

	public static double dist(long a, long b, long x, long y) {
		double val = (b - a) * (b - a) + (x - y) * (x - y);
		val = Math.sqrt(val);
		double other = x * x + a * a;
		other = Math.sqrt(other);
		return val + other;

	}

	public static class Point implements Comparable<Point> {

		int x, y;

		public Point(int start, int end) {
			this.x = start;
			this.y = end;
		}

		@Override
		public int hashCode() {
			int hash = 5;
			hash = 47 * hash + this.x;
			hash = 47 * hash + this.y;
			return hash;
		}

		@Override
		public boolean equals(Object obj) {
			if (obj == null) {
				return false;
			}
			if (getClass() != obj.getClass()) {
				return false;
			}
			final Point other = (Point) obj;
			if (this.x != other.x) {
				return false;
			}
			if (this.y != other.y) {
				return false;
			}
			return true;
		}

		@Override
		public int compareTo(Point o) {
			return x - o.x;
		}
	}

	public static class FT {

		long[] data;

		FT(int n) {
			data = new long[n];
		}

		public void update(int index, long value) {
			while (index < data.length) {
				data[index] += value;
				index += (index & (-index));
			}
		}

		public long get(int index) {
			long result = 0;
			while (index > 0) {
				result += data[index];
				index -= (index & (-index));
			}
			return result;

		}
	}

	public static long gcd(long a, long b) {
		if (b == 0) {
			return a;
		}
		return gcd(b, a % b);
	}

	public static long pow(long a, long b) {
		if (b == 0) {
			return 1;
		}
		if (b == 1) {
			return a;
		}
		long val = pow(a, b / 2);
		if (b % 2 == 0) {
			return val * val % MOD;
		} else {
			return val * (val * a % MOD) % MOD;

		}
	}

	static class Scanner {

		BufferedReader br;
		StringTokenizer st;

		public Scanner() throws FileNotFoundException {
			// System.setOut(new PrintStream(new
			// BufferedOutputStream(System.out), true));
			br = new BufferedReader(new InputStreamReader(System.in));
			// br = new BufferedReader(new InputStreamReader(new
			// FileInputStream(new File("input.txt"))));
		}

		public String next() {

			while (st == null || !st.hasMoreTokens()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (Exception e) {
					throw new RuntimeException();
				}
			}
			return st.nextToken();
		}

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

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

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

		public String nextLine() {
			st = null;
			try {
				return br.readLine();
			} catch (Exception e) {
				throw new RuntimeException();
			}
		}

		public boolean endLine() {
			try {
				String next = br.readLine();
				while (next != null && next.trim().isEmpty()) {
					next = br.readLine();
				}
				if (next == null) {
					return true;
				}
				st = new StringTokenizer(next);
				return st.hasMoreTokens();
			} catch (Exception e) {
				throw new RuntimeException();
			}
		}
	}
}