import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.List;
import java.util.StringTokenizer;

public class Main {

	public static void main(String[] args) throws IOException {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		TaskX solver = new TaskX();
		solver.solve(1, in, out);
		out.close();
	}

	static int INF = 1 << 26;
	static long LINF = 1L << 55;
	static int MOD = 1000000007;
	static int[] mh4 = { 0, -1, 1, 0 };
	static int[] mw4 = { -1, 0, 0, 1 };
	static int[] mh8 = { -1, -1, -1, 0, 0, 1, 1, 1 };
	static int[] mw8 = { -1, 0, 1, -1, 1, -1, 0, 1 };

	static class TaskX {

		public void solve(int testNumber, InputReader in, PrintWriter out) {

			int n = in.nextInt(), m = in.nextInt();
			List<P> list = new ArrayList<>();
			int[][] d = new int[n][n];
			for (int i = 0; i < n; i++) {
				Arrays.fill(d[i], INF);
				d[i][i] = 0;
			}
			for (int i = 0; i < m; i++) {
				int a = in.nextInt()-1, b = in.nextInt()-1, c = in.nextInt();
				d[a][b] = c;
				d[b][a] = c;
				list.add(new P(a, b, c));
				list.add(new P(b, a, c));
			}

			for (int k = 0; k < n; k++) {
				for (int i = 0; i < n; i++) {
					for (int j = 0; j < n; j++) {
						d[i][j] = Math.min(d[i][j], d[i][k]+d[k][j]);
					}
				}
			}

			int count = 0;
			for (P p : list) {
				int from = p.from, to = p.to, c = p.cost;
				boolean ok = false;
				for (int s = 0; s < n; s++) {
					for (int t = 0; t < n; t++) {
						if (d[s][t] == d[s][from] + c + d[to][t]) {
							ok = true;
						}
					}
				}
				if (ok) count++;
			}

			out.println(m-count/2);

		}

		class P {
			int from;
			int to;
			int cost;

			public P(int from, int to, int cost) {
				super();
				this.from = from;
				this.to = to;
				this.cost = cost;
			}

		}
	}

	static class InputReader {
		BufferedReader in;
		StringTokenizer tok;

		public String nextString() {
			while (!tok.hasMoreTokens()) {
				try {
					tok = new StringTokenizer(in.readLine(), " ");
				} catch (IOException e) {
					throw new InputMismatchException();
				}
			}
			return tok.nextToken();
		}

		public int nextInt() {
			return Integer.parseInt(nextString());
		}

		public long nextLong() {
			return Long.parseLong(nextString());
		}

		public double nextDouble() {
			return Double.parseDouble(nextString());
		}

		public int[] nextIntArray(int n) {
			int[] res = new int[n];
			for (int i = 0; i < n; i++) {
				res[i] = nextInt();
			}
			return res;
		}

		public int[] nextIntArrayDec(int n) {
			int[] res = new int[n];
			for (int i = 0; i < n; i++) {
				res[i] = nextInt() - 1;
			}
			return res;
		}

		public long[] nextLongArray(int n) {
			long[] res = new long[n];
			for (int i = 0; i < n; i++) {
				res[i] = nextLong();
			}
			return res;
		}

		public long[] nextLongArrayDec(int n) {
			long[] res = new long[n];
			for (int i = 0; i < n; i++) {
				res[i] = nextLong() - 1;
			}
			return res;
		}

		public InputReader(InputStream inputStream) {
			in = new BufferedReader(new InputStreamReader(inputStream));
			tok = new StringTokenizer("");
		}
	}

}
