The legendary Farmer John is throwing a huge party, and animals from all over the world are hanging out at his house. His guests are hungry, so he instructs his cow Bessie to bring out the snacks! Moo!

There are n snacks flavors, numbered with integers 1, 2, …, n. Bessie has n snacks, one snack of each flavor. Every guest has exactly two favorite flavors. The procedure for eating snacks will go as follows:

  * First, Bessie will line up the guests in some way. 
  * Then in this order, guests will approach the snacks one by one. 
  * Each guest in their turn will eat all remaining snacks of their favorite flavor. In case no favorite flavors are present when a guest goes up, they become very sad. 



Help Bessie to minimize the number of sad guests by lining the guests in an optimal way.

Input

The first line contains integers n and k (2 ≤ n ≤ 10^5, 1 ≤ k ≤ 10^5), the number of snacks and the number of guests. 

The i-th of the following k lines contains two integers x_i and y_i (1 ≤ x_i, y_i ≤ n, x_i ≠ y_i), favorite snack flavors of the i-th guest.

Output

Output one integer, the smallest possible number of sad guests.

Examples

Input


5 4
1 2
4 3
1 4
3 4


Output


1


Input


6 5
2 3
2 1
3 4
6 5
4 5


Output


0

Note

In the first example, Bessie can order the guests like this: 3, 1, 2, 4. Guest 3 goes first and eats snacks 1 and 4. Then the guest 1 goes and eats the snack 2 only, because the snack 1 has already been eaten. Similarly, the guest 2 goes up and eats the snack 3 only. All the snacks are gone, so the guest 4 will be sad. 

In the second example, one optimal ordering is 2, 1, 3, 5, 4. All the guests will be satisfied.
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.util.Arrays;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.UncheckedIOException;
import java.nio.charset.Charset;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.BufferedReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author mikit
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        LightScanner in = new LightScanner(inputStream);
        LightWriter out = new LightWriter(outputStream);
        DCowAndSnacks solver = new DCowAndSnacks();
        solver.solve(1, in, out);
        out.close();
    }

    static class DCowAndSnacks {
        public void solve(int testNumber, LightScanner in, LightWriter out) {
            // out.setBoolLabel(LightWriter.BoolLabel.YES_NO_FIRST_UP);
            int sad = 0;
            int n = in.ints(), k = in.ints();
            IntUnionFind uf = new IntUnionFind(n);
            for (int i = 0; i < k; i++) {
                int x = in.ints() - 1, y = in.ints() - 1;
                if (uf.find(x) == uf.find(y)) sad++;
                else uf.union(x, y);
            }
            out.ans(sad).ln();
        }

    }

    static final class IntUnionFind {
        private int groups;
        private final int[] nodes;
        private final int[] rank;

        public IntUnionFind(int n) {
            groups = n;
            nodes = new int[n];
            Arrays.fill(nodes, -1);
            rank = new int[n];
        }

        public int find(int i) {
            int ans = nodes[i];
            if (ans < 0) {
                return i;
            } else {
                return nodes[i] = find(ans);
            }
        }

        public boolean union(int x, int y) {
            x = find(x);
            y = find(y);
            if (x == y) {
                return false;
            } else if (rank[x] < rank[y]) {
                nodes[y] += nodes[x];
                nodes[x] = y;
            } else if (rank[x] == rank[y]) {
                rank[x]++;
                nodes[x] += nodes[y];
                nodes[y] = x;
            } else {
                nodes[x] += nodes[y];
                nodes[y] = x;
            }
            groups--;
            return true;
        }

    }

    static class LightScanner {
        private BufferedReader reader = null;
        private StringTokenizer tokenizer = null;

        public LightScanner(InputStream in) {
            reader = new BufferedReader(new InputStreamReader(in));
        }

        public String string() {
            if (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new UncheckedIOException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int ints() {
            return Integer.parseInt(string());
        }

    }

    static class LightWriter implements AutoCloseable {
        private final Writer out;
        private boolean autoflush = false;
        private boolean breaked = true;

        public LightWriter(Writer out) {
            this.out = out;
        }

        public LightWriter(OutputStream out) {
            this(new BufferedWriter(new OutputStreamWriter(out, Charset.defaultCharset())));
        }

        public LightWriter print(char c) {
            try {
                out.write(c);
                breaked = false;
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
            return this;
        }

        public LightWriter print(String s) {
            try {
                out.write(s, 0, s.length());
                breaked = false;
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
            return this;
        }

        public LightWriter ans(String s) {
            if (!breaked) {
                print(' ');
            }
            return print(s);
        }

        public LightWriter ans(int i) {
            return ans(Integer.toString(i));
        }

        public LightWriter ln() {
            print(System.lineSeparator());
            breaked = true;
            if (autoflush) {
                try {
                    out.flush();
                } catch (IOException ex) {
                    throw new UncheckedIOException(ex);
                }
            }
            return this;
        }

        public void close() {
            try {
                out.close();
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
        }

    }
}

