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.PrintWriter;
import java.util.Scanner;

/**
 * Created by pvasilyev on 3/31/17.
 */
public class C570 {

    public static void main(String[] args) {
        final Scanner reader = new Scanner(System.in);
        final PrintWriter writer = new PrintWriter(System.out);

        solve(reader, writer);

        reader.close();
        writer.close();
    }

    private static void solve(final Scanner reader, final PrintWriter writer) {
        final int n = reader.nextInt();
        final int m = reader.nextInt();
        final char[] ch = reader.next().toCharArray();
        int currentF = f(ch);
        final StringBuilder stringBuilder = new StringBuilder();
        for (int t = 0; t < m; ++t) {
            final int pos = reader.nextInt() - 1;
            final char c = reader.next().toCharArray()[0];
            if (c == '.') {
                // currentF can be increased only
                if (ch[pos] != '.') {
                    // can be increased only in case when previous char was not dot.

                    // can be increased to the left:
                    if (pos - 1 >= 0 && ch[pos - 1] == '.') {
                        currentF++;
                    }
                    // can be increased to the right:
                    if (pos + 1 < n && ch[pos + 1] == '.') {
                        currentF++;
                    }
                }
            } else {
                // currentF can be decreased only
                if (ch[pos] == '.') {
                    // can be decreased only in case when previous char was dot.

                    // can be decreased to the left:
                    if (pos - 1 >= 0 && ch[pos - 1] == '.') {
                        currentF--;
                    }
                    // can be decreased to the right:
                    if (pos + 1 < n && ch[pos + 1] == '.') {
                        currentF--;
                    }
                }
            }
            ch[pos] = c;
            stringBuilder.append(currentF).append('\n');
        }
        writer.print(stringBuilder);
    }

    private static int f(final char[] ch) {
        int res = 0;
        int consecutiveDots = 0;
        for (int i = 0; i < ch.length; ++i) {
            if (ch[i] == '.') {
                consecutiveDots++;
            } else if (consecutiveDots > 0) {
                res += consecutiveDots - 1;
                consecutiveDots = 0;
            }
        }
        return res + Math.max(0, consecutiveDots - 1);
    }

}