Codeforces Round #316 (Div. 2) C 思路/模拟

C. Replacement

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

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.

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.")

题意：给你长度为n的字符串  m组替换和查询x_i and c_i   查询 替换之后字符串中有多少个[..]

题解: 先统计一下初始的字符串有多少组[..]

然后考虑每次替换对[..]有什么影响呢 ？若ci为‘.’ 才有可能增加答案 若为其他字符才有可能减少答案

并且只能与 xi + 1，xi - 1两个位置产生影响  最多增加或减少两个[..]

细细分析每种情况。注意边界判断/注意替换前x位置是什么字符。 具体看代码。

 #include<iostream>
 #include<cstring>
 #include<cstdio>
 #include<queue>
 #include<stack>
 #include<vector>
 #include<map>
 #include<algorithm>
 #define ll __int64
 #define mod 1e9+7
 #define PI acos(-1.0)
 using namespace std;
 int n,m;
 char a[];
 int main()
 {
     scanf("%d %d",&n,&m);
     getchar();
     scanf("%c",&a[]);
     int ans=;
     for(int i=;i<=n;i++)
     {
         scanf("%c",&a[i]);
         if(a[i]=='.'&&a[i-]=='.')
             ans++;
     }
     int  pos;
     char exm;
     for(int i=;i<=m;i++)
     {
         scanf("%d %c",&pos,&exm);
         if(exm=='.')
         {
             if(pos->=&&a[pos]!='.')
             {
                 if(a[pos-]=='.')
                     ans++;
             }
             if(pos+<=n&&a[pos]!='.')
             {
                 if(a[pos+]=='.')
                     ans++;
             }
             a[pos]=exm;
         }
         else
         {
            if(pos->=&&a[pos]=='.')
             {
                 if(a[pos-]=='.')
                     ans--;
             }
             if(pos+<=n&&a[pos]=='.')
             {
                 if(a[pos+]=='.')
                     ans--;
             }
             a[pos]=exm;
         }
         cout<<ans<<endl;
     }
     return ;
 }