Replacement

2000ms

262144K

Description:

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 x_i (1 ≤ x_i ≤ n) of string s is assigned value c_i. 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 x_i and c_i (1 ≤ x_i ≤ n, c_i — a lowercas English letter or a period sign), describing the query of assigning symbol c_i to position x_i.

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.

Sample Input:

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

Sample Output:

4
3
1

Sample Input:

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

Sample Output:

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.")

Informação

Provedor Codeforces

Código CF570C