Problem: Daniel has a string s, consisting of lowercase English letters and period signs (characters '.'). Let's define the operation of replacement as the following sequence of steps: find a substring ".." (two consecutive periods) in string s, of all occurrences of the substring let's choose the first one, and replace this substring with string ".". In other words, during the replacement operation, the first two consecutive periods are replaced by one. If string s contains no two consecutive periods, then nothing happens.

Let's define f(s) as the minimum number of operations of replacement to perform, so that the string does not have any two consecutive periods left.

You need to process m queries, the i-th results in that the character at position xi (1 ≤ xi ≤ n) of string s is assigned value ci. After each operation you have to calculate and output the value of f(s).

Help Daniel to process all queries.

Input

The first line contains two integers n and m (1 ≤ n, m ≤ 300 000) the length of the string and the number of queries.

The second line contains string s, consisting of n lowercase English letters and period signs.

The following m lines contain the descriptions of queries. The i-th line contains integer xi and ci (1 ≤ xi ≤ n, ci — a lowercas English letter or a period sign), describing the query of assigning symbol ci to position xi.

Output

Print m numbers, one per line, the i-th of these numbers must be equal to the value of f(s) after performing the i-th assignment.

Examples

Input

10 3
.b..bz....
1 h
3 c
9 f


Output

4
3
1


Input

4 4
.cc.
2 .
3 .
2 a
1 a


Output

1
3
1
1

Note

Note to the first sample test (replaced periods are enclosed in square brackets).

The original string is ".b..bz....".

  * after the first query f(hb..bz....) = 4 ("hb[..]bz...."  →  "hb.bz[..].."  →  "hb.bz[..]."  →  "hb.bz[..]"  →  "hb.bz.")
  * after the second query f(hbс.bz....) = 3 ("hbс.bz[..].."  →  "hbс.bz[..]."  →  "hbс.bz[..]"  →  "hbс.bz.")
  * after the third query f(hbс.bz..f.) = 1 ("hbс.bz[..]f."  →  "hbс.bz.f.")



Note to the second sample test.

The original string is ".cc.".

  * after the first query: f(..c.) = 1 ("[..]c."  →  ".c.")
  * after the second query: f(....) = 3 ("[..].."  →  "[..]."  →  "[..]"  →  ".")
  * after the third query: f(.a..) = 1 (".a[..]"  →  ".a.")
  * after the fourth query: f(aa..) = 1 ("aa[..]"  →  "aa.")

Solution (in JAVA):

Solution:
import java.io.*;
import java.math.BigInteger;
import java.util.*;

public class Main {
	static boolean isMultiTest = false;

	public static void main(String[] args) {
		OutputStream outputStream = System.out;
		InputStream inputStream = System.in;
		InputFast in = new InputFast();
		PrintWriter out = new PrintWriter(outputStream);
		Task solver = new Task();
		if (isMultiTest) {
			int testNumber = in.nextInt();
			for (int i = 1; i <= testNumber; i++) {
				solver.solve(i, in, out);
			}
		} else {
			solver.solve(1, in, out);
		}
		out.close();
	}
}

class Task {
	final static int MOD = 1000 * 1000 * 1000 + 7;

	public void solve(int testNumber, InputFast in, PrintWriter out) {
		int len = in.nextInt();
		int nQuery = in.nextInt();
		char[] str = in.next(len);
		int ans = 0;
		for (int i = 0; i < len - 1; i++) {
			if (str[i] == '.' && str[i + 1] == '.') {
				ans++;
			}
		}
		for (int i = 0; i < nQuery; i++) {
			int replaceIndex = in.nextInt() - 1;
			char replaceChar = in.nextChar();
			if (replaceChar == '.') {
				if (str[replaceIndex] != '.') {
					if (replaceIndex - 1 >= 0 && str[replaceIndex - 1] == '.') {
						ans++;
					}
					if (replaceIndex + 1 < len && str[replaceIndex + 1] == '.') {
						ans++;
					}
				}
			} else {
				if (str[replaceIndex] == '.') {
					if (replaceIndex - 1 >= 0 && str[replaceIndex - 1] == '.') {
						ans--;
					}
					if (replaceIndex + 1 < len && str[replaceIndex + 1] == '.') {
						ans--;
					}
				}
			}
			str[replaceIndex] = replaceChar;
			
			out.println(ans);
		}
	}
}

class InputFast {
	static InputStream is = System.in;
	static private byte[] buffer = new byte[1024];
	static private int lenbuf = 0, ptrbuf = 0;

	private int readByte() {
		if (lenbuf == -1)
			throw new InputMismatchException();
		if (ptrbuf >= lenbuf) {
			ptrbuf = 0;
			try {
				lenbuf = is.read(buffer);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (lenbuf <= 0)
				return -1;
		}
		return buffer[ptrbuf++];
	}

	private boolean isSpace(int c) {
		return !(c >= 33 && c <= 126);
	}

	private int read() {
		int b;
		while ((b = readByte()) != -1 && isSpace(b))
			;
		return b;
	}

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

	public char nextChar() {
		return (char) read();
	}

	public String next() {
		int b = read();
		StringBuilder sb = new StringBuilder();
		while (!(isSpace(b))) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	public char[] next(int n) {
		char[] buf = new char[n];
		int b = read(), p = 0;
		while (p < n && !(isSpace(b))) {
			buf[p++] = (char) b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}

	public int nextInt() {
		int num = 0, b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

	public long nextLong() {
		long num = 0;
		int b;
		boolean minus = false;
		while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
			;
		if (b == '-') {
			minus = true;
			b = readByte();
		}

		while (true) {
			if (b >= '0' && b <= '9') {
				num = num * 10 + (b - '0');
			} else {
				return minus ? -num : num;
			}
			b = readByte();
		}
	}

}

class Input {
	public BufferedReader reader;
	public StringTokenizer tokenizer;

	public Input(InputStream stream) {
		reader = new BufferedReader(new InputStreamReader(stream), 32768);
		tokenizer = null;
		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() {
		String s = "";
		try {
			s = reader.readLine();
		} catch (IOException e) {
			try {
				throw new IOException();
			} catch (IOException e1) {
				e1.printStackTrace();
			}
		}
		return s;
	}

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

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

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