Problem: Mike and some bears are playing a game just for fun. Mike is the judge. All bears except Mike are standing in an n × m grid, there's exactly one bear in each cell. We denote the bear standing in column number j of row number i by (i, j). Mike's hands are on his ears (since he's the judge) and each bear standing in the grid has hands either on his mouth or his eyes.

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They play for q rounds. In each round, Mike chooses a bear (i, j) and tells him to change his state i. e. if his hands are on his mouth, then he'll put his hands on his eyes or he'll put his hands on his mouth otherwise. After that, Mike wants to know the score of the bears.

Score of the bears is the maximum over all rows of number of consecutive bears with hands on their eyes in that row.

Since bears are lazy, Mike asked you for help. For each round, tell him the score of these bears after changing the state of a bear selected in that round. 

Input

The first line of input contains three integers n, m and q (1 ≤ n, m ≤ 500 and 1 ≤ q ≤ 5000).

The next n lines contain the grid description. There are m integers separated by spaces in each line. Each of these numbers is either 0 (for mouth) or 1 (for eyes).

The next q lines contain the information about the rounds. Each of them contains two integers i and j (1 ≤ i ≤ n and 1 ≤ j ≤ m), the row number and the column number of the bear changing his state.

Output

After each round, print the current score of the bears.

Examples

Input

5 4 5
0 1 1 0
1 0 0 1
0 1 1 0
1 0 0 1
0 0 0 0
1 1
1 4
1 1
4 2
4 3


Output

3
4
3
3
4

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.util.Comparator;
import java.util.Collections;
import java.util.ArrayList;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author o_panda_o(emailofpanda@yahoo.com)
 */
public class Code_548B_MikeAndFun{
    public static void main(String[] args){
        InputStream inputStream=System.in;
        OutputStream outputStream=System.out;
        InputReader in=new InputReader(inputStream);
        OutputWriter out=new OutputWriter(outputStream);
        _548B_ solver=new _548B_();
        solver.solve(1,in,out);
        out.close();
    }

    static class _548B_{
        public void solve(int testNumber,InputReader in,OutputWriter out){
            int n=in.nextInt(), m=in.nextInt(), q=in.nextInt();
            int[][] bears=new int[n][m];
            ArrayList<Data> score=new ArrayList<>();
            for(int i=0;i<n;score.add(new Data(i++)))
                for(int j=0;j<m;bears[i][j++]=in.nextInt()) ;
            for(int i=0, cur=0, ans=0;i<n;score.get(i++).increment(ans),cur=0,ans=0)
                for(int j=0;j<m;++j,ans=Math.max(cur,ans))
                    cur+=(bears[i][j]==1?1:-1*cur);
            while(q-->0){
                int i=in.nextInt()-1, j=in.nextInt()-1;
                bears[i][j]=(bears[i][j]==0?1:0);
                int ans=0;
                for(int k=0, cur=0;k<m;ans=Math.max(ans,cur+=(bears[i][k++]==1?1:-1*cur))) ;
                score.get(i).reset();
                score.get(i).increment(ans);
                Collections.sort(score,Comparator.comparingInt(o->o.elements));
                out.println(score.get(n-1).elements);
                Collections.sort(score,Comparator.comparingInt(o->o.index));
            }

        }

    }

    static class InputReader{
        private InputStream stream;
        private byte[] buf=new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream){
            this.stream=stream;
        }

        public int read(){
            if(numChars==-1){
                throw new InputMismatchException();
            }
            if(curChar>=numChars){
                curChar=0;
                try{
                    numChars=stream.read(buf);
                }catch(IOException e){
                    throw new InputMismatchException();
                }
                if(numChars<=0){
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int nextInt(){
            int c=read();
            while(isSpaceChar(c)){
                c=read();
            }
            int sgn=1;
            if(c=='-'){
                sgn=-1;
                c=read();
            }
            int res=0;
            do{
                if(c<'0'||c>'9'){
                    throw new InputMismatchException();
                }
                res*=10;
                res+=c-'0';
                c=read();
            }while(!isSpaceChar(c));
            return res*sgn;
        }

        public boolean isSpaceChar(int c){
            if(filter!=null){
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c){
            return c==' '||c=='\n'||c=='\r'||c=='\t'||c==-1;
        }

        public interface SpaceCharFilter{
            public boolean isSpaceChar(int ch);

        }

    }

    static class Data{
        int index;
        int elements;

        public Data(int index){
            this.index=index;
            this.elements=0;
        }

        public void increment(int inc){
            this.elements+=inc;
        }

        public void reset(){
            this.elements=0;
        }

    }

    static class OutputWriter{
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream){
            writer=new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer){
            this.writer=new PrintWriter(writer);
        }

        public void close(){
            writer.close();
        }

        public void println(int i){
            writer.println(i);
        }

    }
}