content: package v117;
  
  import java.io.BufferedReader;
  import java.io.FileNotFoundException;
  import java.io.FileReader;
  import java.io.IOException;
  import java.io.InputStream;
  import java.io.InputStreamReader;
  import java.io.PrintWriter;
  import java.util.StringTokenizer;
  
  public class SocialConstraints_UVa11742 {
  
  	static int n, m, rules[][], pos[] = new int[10];
  	
  	static int f(int idx, int msk)
  	{
  		if(idx == n)
  		{
  			for(int i = 0; i < m; ++i)
  				if(rules[i][0] > 0)
  				{
  					if(Math.abs(pos[rules[i][1]]- pos[rules[i][2]]) > rules[i][0])
  						return 0;
  				}
  				else
  				{
  					if(Math.abs(pos[rules[i][1]] - pos[rules[i][2]]) < -rules[i][0])
  						return 0;
  				}
  			return 1;
  		}
  		
  		int c = 0;
  		for(int i = 0; i < n; ++i)
  			if((msk & (1<<i)) == 0)
  			{
  				pos[idx] = i;
  				c += f(idx + 1, msk | (1<<i));
  			}
  		return c;
  	}
  	public static void main(String[] args) throws IOException {
  
  
  		Scanner sc = new Scanner(System.in);
  		PrintWriter out = new PrintWriter(System.out);
  		
  		while(true)
  		{
  			n = sc.nextInt(); m = sc.nextInt();
  			if(n + m == 0)
  				break;
  			rules = new int[m][3];
  			for(int i = 0; i < m; ++i)
  			{
  				rules[i][1] = sc.nextInt();
  				rules[i][2] = sc.nextInt();
  				rules[i][0] = sc.nextInt();
  			}
  			out.println(f(0, 0));
  		}
  			
  		out.flush();
  		out.close();
  
  
  	}
  
  
  
  	static class Scanner 
  	{
  		StringTokenizer st;
  		BufferedReader br;
  
  		public Scanner(FileReader fileReader) throws FileNotFoundException{	br = new BufferedReader(fileReader);}
  
  		public Scanner(InputStream s) throws FileNotFoundException{	br = new BufferedReader(new InputStreamReader(s));}
  
  		public String next() throws IOException 
  		{
  			while (st == null || !st.hasMoreTokens()) 
  				st = new StringTokenizer(br.readLine());
  			return st.nextToken();
  		}
  
  		public double nextDouble() throws IOException
  		{
  			String x = next();
  			StringBuilder sb = new StringBuilder("0");
  			double res = 0, f = 1;
  			boolean dec = false, neg = false;
  			int start = 0;
  			if(x.charAt(0) == '-')
  			{
  				neg = true;
  				start++;
  			}
  			for(int i = start; i < x.length(); i++)
  				if(x.charAt(i) == '.')
  				{
  					res = Long.parseLong(sb.toString());
  					sb = new StringBuilder("0");
  					dec = true;
  				}
  				else
  				{
  					sb.append(x.charAt(i));
  					if(dec)
  						f *= 10;
  				}
  			res += Long.parseLong(sb.toString()) / f;
  			return res * (neg?-1:1);
  		}
  
  
  		public int nextInt() throws IOException {return Integer.parseInt(next());}
  
  		public long nextLong() throws IOException {return Long.parseLong(next());}
  
  		public String nextLine() throws IOException {return br.readLine();}
  
  		public boolean ready() throws IOException {return br.ready(); }
  
  
  	}
  
  }
  
  
  