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:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class Task723E {
    StringTokenizer st;
    BufferedReader in;
    PrintWriter out;

    public static void main(String[] args) throws IOException {
        Task723E task = new Task723E();
        task.open();
        task.solve();
        task.close();
    }

    class Edge {
        int a, b;
        boolean noOutput;
        String order = null;

        public Edge(int a, int b) {
            this(a, b, false);
        }

        public Edge(int a, int b, boolean noOutput) {
            this.a = a;
            this.b = b;
            this.noOutput = noOutput;
        }

        public int getOther(int v) {
            if (a == v) return b;
            return a;
        }
    }

    class Vertex {
        int index;
        LinkedList<Edge> roads;

        public Vertex(int index) {
            this.index = index;
            roads = new LinkedList<>();
        }
    }

    Vertex[] graph;
    ArrayList<Edge> edges;
    boolean[] used;

    private void solve() throws IOException {
        int t = nextInt();
        for (int testCase = 0; testCase < t; testCase++) {
            int n = nextInt();
            int m = nextInt();
            graph = new Vertex[n];
            edges = new ArrayList<>();
            for (int i = 0; i < n; i++) {
                graph[i] = new Vertex(i);
            }

            for (int i = 0; i < m; i++) {
                int a = nextInt() - 1;
                int b = nextInt() - 1;
                Edge edge = new Edge(a, b);
                graph[a].roads.add(edge);
                graph[b].roads.add(edge);
                edges.add(edge);
            }
            ArrayList<ArrayList<Vertex>> components = new ArrayList<>();
            used = new boolean[n];

            for (int i = 0; i < n; i++) {
                if (used[i]) continue;
                ArrayList<Vertex> component = new ArrayList<>();
                dfs(graph[i], component);
                components.add(component);
            }

            for (ArrayList<Vertex> component : components) {
                ArrayList<Vertex> oddVertexes = new ArrayList<>();
                for (Vertex vertex : component) {
                    if (vertex.roads.size() % 2 != 0) oddVertexes.add(vertex);
                }
                final int hall = oddVertexes.size() / 2;
                for (int current = 0; current < hall; current++) {
                    int other = hall + current;
                    Vertex cur = oddVertexes.get(current);
                    Vertex otherV = oddVertexes.get(other);
                    Edge tempEdge = new Edge(cur.index, otherV.index, true);
                    graph[cur.index].roads.add(tempEdge);
                    graph[otherV.index].roads.add(tempEdge);
                    edges.add(tempEdge);
                }
                roadEuler(component.get(0));
            }
            
            int answ = n - (edges.size() - m) * 2;
            out.println(answ);
            for (int i = 0; i < m; i++) {
                out.println(edges.get(i).order);
            }
        }
    }

    

    private void dfs(Vertex vertex, ArrayList<Vertex> component) {
        component.add(vertex);
        used[vertex.index] = true;
        for (Edge child : vertex.roads) {
            int other = child.getOther(vertex.index);
            if (used[other]) continue;
            dfs(graph[other], component);
        }
    }
    void roadEuler(Vertex v) {
        Stack<Vertex> eulerStack = new Stack<>();
        eulerStack.add(v);
        while (!eulerStack.isEmpty()) {
            Vertex cur = eulerStack.peek();
            while (cur.roads.size() != 0 && cur.roads.getFirst().order != null) {
                cur.roads.pollFirst();
            }
            if (cur.roads.size() == 0) {
                eulerStack.pop();
                continue;
            }
            Edge nextEdge = cur.roads.pollFirst();
            int otherVInd = nextEdge.getOther(cur.index);
            eulerStack.push(graph[otherVInd]);
            nextEdge.order = (cur.index + 1) + " " + (otherVInd + 1);
        }
    }

    private void close() {
        out.flush();
    }

    private void open() {
        in = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
    }

    private int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }

    private String nextToken() throws IOException {
        while (st == null || !st.hasMoreTokens()) {
            String str = in.readLine();
            if (str == null) return null;
            st = new StringTokenizer(str);
        }
        return st.nextToken();
    }
}