Problem: There are n cities and m two-way roads in Berland, each road connects two cities. It is known that there is no more than one road connecting each pair of cities, and there is no road which connects the city with itself. It is possible that there is no way to get from one city to some other city using only these roads.

The road minister decided to make a reform in Berland and to orient all roads in the country, i.e. to make each road one-way. The minister wants to maximize the number of cities, for which the number of roads that begins in the city equals to the number of roads that ends in it.

Input

The first line contains a positive integer t (1 ≤ t ≤ 200) — the number of testsets in the input.

Each of the testsets is given in the following way. The first line contains two integers n and m (1 ≤ n ≤ 200, 0 ≤ m ≤ n·(n - 1) / 2) — the number of cities and the number of roads in Berland. 

The next m lines contain the description of roads in Berland. Each line contains two integers u and v (1 ≤ u, v ≤ n) — the cities the corresponding road connects. It's guaranteed that there are no self-loops and multiple roads. It is possible that there is no way along roads between a pair of cities.

It is guaranteed that the total number of cities in all testset of input data doesn't exceed 200.

Pay attention that for hacks, you can only use tests consisting of one testset, so t should be equal to one.

Output

For each testset print the maximum number of such cities that the number of roads that begins in the city, is equal to the number of roads that ends in it.

In the next m lines print oriented roads. First print the number of the city where the road begins and then the number of the city where the road ends. If there are several answers, print any of them. It is allowed to print roads in each test in arbitrary order. Each road should be printed exactly once. 

Example

Input

2
5 5
2 1
4 5
2 3
1 3
3 5
7 2
3 7
4 2


Output

3
1 3
3 5
5 4
3 2
2 1
3
2 4
3 7

Solution (in JAVA):

Solution:
/*
If you want to aim high, aim high
Don't let that studying and grades consume you
Just live life young
******************************
What do you think? What do you think?
1st on Billboard, what do you think of it
Next is a Grammy, what do you think of it
However you think, I’m sorry, but shit, I have no fcking interest
*******************************
I'm standing on top of my Monopoly board
That means I'm on top of my game and it don't stop
til my hip don't hop anymore
https://www.a2oj.com/Ladder16.html
*******************************
300IQ as writer = Sad!
*/
import java.util.*;
import java.io.*;
import java.math.*;

   public class x723E
   {
      static ArrayDeque<Integer>[] edges;
      public static void main(String hi[]) throws Exception
      {
         BufferedReader infile = new BufferedReader(new InputStreamReader(System.in));  
         StringTokenizer st = new StringTokenizer(infile.readLine());
         int T = Integer.parseInt(st.nextToken());
         while(T-->0)
         {
            st = new StringTokenizer(infile.readLine());
            int N = Integer.parseInt(st.nextToken());
            int M = Integer.parseInt(st.nextToken());
            edges = new ArrayDeque[N+1];
            for(int i=1; i <= N; i++)
               edges[i] = new ArrayDeque<Integer>();
            int[][] tags = new int[N+1][N+1];
            seen = new int[N+1][N+1];
            for(int i=0; i < M; i++)
            {
               st = new StringTokenizer(infile.readLine());
               int a = Integer.parseInt(st.nextToken());
               int b = Integer.parseInt(st.nextToken());
               edges[a].add(b);  edges[b].add(a);
               tags[a][b]++;  tags[b][a]++;
               seen[a][b]++;  seen[b][a]++;
            }
            boolean[] processed = new boolean[N+1];
            int res = 0;
            for(int v=1; v <= N; v++)
               res += (edges[v].size()&1)^1;
            for(int v=1; v <= N; v++)
            {
               if(processed[v])
                  continue;
               processed[v] = true;
               ArrayDeque<Integer> q = new ArrayDeque<Integer>();
               q.add(v); ArrayList<Integer> odds = new ArrayList<Integer>();
               while(q.size() > 0)
               {
                  int curr = q.poll();
                  if(edges[curr].size()%2 == 1)
                     odds.add(curr);
                  for(int next: edges[curr])
                     if(!processed[next])
                     {
                        processed[next] = true;
                        q.add(next);
                     }
               }
               for(int i=0; i < odds.size(); i+=2)
               {
                  int a = odds.get(i); int b = odds.get(i+1);
                  edges[a].add(b);  edges[b].add(a);
                  seen[a][b]++;  seen[b][a]++;
               }
               //euler cycle
               cycle = new ArrayList<Integer>();
               dfs(v);
               for(int i=0; i < cycle.size()-1; i++)
                  tags[cycle.get(i)][cycle.get(i+1)]++;
               if(cycle.size() >= 3)
                  tags[cycle.get(cycle.size()-1)][cycle.get(0)]++;
            }
            System.out.println(res);
            for(int a=1; a <= N; a++)
               for(int b=1; b <= N; b++)
                  if(tags[a][b] >= 2)
                  {
                     tags[a][b] = tags[b][a] = -1;
                     System.out.println(a+" "+b);
                  }
         }
      }
      static ArrayList<Integer> cycle;
      static int[][] seen;
      public static void dfs(int curr)
      {
         while(edges[curr].size() > 0)
         {
            int next = edges[curr].poll();
            if(seen[curr][next] > 0)
            {
               seen[curr][next]--;
               seen[next][curr]--;
               dfs(next);
            }
         }
         cycle.add(curr);
      }
   }