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.util.*;
import java.io.*;
import java.math.BigInteger;
import com.sun.jmx.remote.internal.ArrayQueue;

public class Main implements Runnable {
	// haha, you won't challenge my randomization with fixed seed!!!
	// static Random rm = new Random(31);
	static Random rm = new Random();

	static class Tree {
		int key;
		int prior;
		int count;
		long sum;
		Tree left;
		Tree right;

		public Tree(int key, int prior) {
			this.key = key;
			this.prior = prior;
			update();
		}

		public Tree() {
		}

		public void update() {
			count = (left == null ? 0 : left.count) + 1 + (right == null ? 0 : right.count);
			sum = (long) (left == null ? 0 : left.sum) + key + (long) (right == null ? 0 : right.sum);
		}

		public static Tree add(Tree head, Tree node) {
			if (head == null) {
				return node;
			} else if (head.prior >= node.prior) {
				if (node.key < head.key) {
					head.left = add(head.left, node);
				} else {
					head.right = add(head.right, node);
				}
				head.update();
				return head;
			} else {
				split(head, node, node.key);
				node.update();
				return node;
			}
		}

		public static void split(Tree head, Tree res, int key) {
			if (head == null) {
				res.left = res.right = null;
			} else if (key <= head.key) {
				split(head.left, res, key);
				head.left = res.right;
				res.right = head;
				head.update();
			} else {
				split(head.right, res, key);
				head.right = res.left;
				res.left = head;
				head.update();
			}
		}

		public static Tree remove(Tree head, int key) {
			if (head != null) {
				if (key < head.key) {
					head.left = remove(head.left, key);
					head.update();
				} else if (key > head.key) {
					head.right = remove(head.right, key);
					head.update();
				} else {
					head = merge(head.left, head.right);
				}
			}
			return head;
		}

		public static Tree merge(Tree left, Tree right) {
			if (left == null) {
				return right;
			} else if (right == null) {
				return left;
			} else if (left.prior >= right.prior) {
				left.right = merge(left.right, right);
				left.update();
				return left;
			} else {
				right.left = merge(left, right.left);
				right.update();
				return right;
			}
		}

		public static boolean contains(Tree head, int key) {
			if (head == null) {
				return false;
			} else {
				if (key < head.key) {
					return contains(head.left, key);
				} else if (key > head.key) {
					return contains(head.right, key);
				} else {
					return true;
				}
			}
		}

		public String toString() {
			List<Integer> res = new ArrayList<Integer>();
			toString(this, res);
			return res.toString();
		}

		private void toString(Tree tree, List<Integer> res) {
			if (tree != null) {
				toString(tree.left, res);
				res.add(tree.key);
				toString(tree.right, res);
			}
		}
	}

	private void solution() throws IOException {
		Tree[] tree = new Tree[5];
		int q = in.nextInt();
		for (int it = 0; it < q; ++it) {
			String command = in.next();
			if (command.equals("sum")) {
				out.println(getSum(tree[2]));
			} else if (command.equals("add")) {
				int key = in.nextInt();
				int index = 0;
				Tree[] parts = new Tree[5];
				for (int i = 0; i < parts.length; ++i) {
					parts[i] = new Tree();
					Tree.split(tree[i], parts[i], key);
					index += getCount(parts[i].left);
				}
				index %= 5;
				parts[index].left = Tree.merge(parts[index].left, new Tree(key, rm.nextInt()));
				for (int i = 0; i < tree.length; ++i) {
					tree[i] = Tree.merge(parts[i].left, parts[(i - 1 + 5) % 5].right);
				}
			} else if (command.equals("del")) {
				int key = in.nextInt();
				Tree[] parts = new Tree[5];
				for (int i = 0; i < parts.length; ++i) {
					parts[i] = new Tree();
					Tree.split(tree[i], parts[i], key);
				}
				for (int index = 0; index < parts.length; ++index) {
					if (Tree.contains(parts[index].right, key)) {
						parts[index].right = Tree.remove(parts[index].right, key);
						for (int i = 0; i < tree.length; ++i) {
							tree[i] = Tree.merge(parts[i].left, parts[(i + 1) % 5].right);
						}
						break;
					}
				}
			} else {
				throw new RuntimeException("What the hell is that?");
			}
		}
	}

	private int getCount(Tree tree) {
		if (tree == null) {
			return 0;
		} else {
			return tree.count;
		}
	}

	private long getSum(Tree tree) {
		if (tree == null) {
			return 0;
		} else {
			return tree.sum;
		}
	}

	private void debug(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}

	public void run() {
		try {
			// try {
			// String fileName = "";
			// in = new Scanner(new FileReader(fileName + ".in"));
			// out = new PrintWriter(fileName + ".out");
			// } catch (Exception e) {
			// }
			solution();
			in.reader.close();
			out.close();
		} catch (Throwable e) {
			e.printStackTrace();
			System.exit(1);
		}
	}

	private static class Scanner {
		private BufferedReader reader;
		private StringTokenizer tokenizer;

		public Scanner(Reader reader) {
			this.reader = new BufferedReader(reader);
			this.tokenizer = new StringTokenizer("");
		}

		public boolean hasNext() throws IOException {
			while (!tokenizer.hasMoreTokens()) {
				String line = reader.readLine();
				if (line == null) {
					return false;
				}
				tokenizer = new StringTokenizer(line);
			}
			return true;
		}

		public String next() throws IOException {
			hasNext();
			return tokenizer.nextToken();
		}

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

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

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

		public String nextLine() throws IOException {
			tokenizer = new StringTokenizer("");
			return reader.readLine();
		}

		public int[] nextInts(int n) throws IOException {
			int[] res = new int[n];
			for (int i = 0; i < n; ++i) {
				res[i] = nextInt();
			}
			return res;
		}

		public long[] nextLongs(int n) throws IOException {
			long[] res = new long[n];
			for (int i = 0; i < n; ++i) {
				res[i] = nextLong();
			}
			return res;
		}

		public double[] nextDoubles(int n) throws IOException {
			double[] res = new double[n];
			for (int i = 0; i < n; ++i) {
				res[i] = nextDouble();
			}
			return res;
		}

		public String[] nextStrings(int n) throws IOException {
			String[] res = new String[n];
			for (int i = 0; i < n; ++i) {
				res[i] = next();
			}
			return res;
		}
	}

	public static void main(String[] args) throws Exception {
		new Thread(null, new Main(), "Main", 1 << 28).start();
	}
	private Scanner in = new Scanner(new InputStreamReader(System.in));
	private PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
}