import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.NoSuchElementException;

class DJSet {
	int n;
	int[] upper;
	public DJSet(int n) {
		this.n=n;
		upper=new int[n];
		Arrays.fill(upper, -1);
	}
	int root(int x) {
		return upper[x]<0?x:(upper[x]=root(upper[x]));
	}
	boolean equiv(int x,int y) {
		return root(x)==root(y);
	}
	void setUnion(int x,int y) {
		x=root(x);y=root(y);
		if(x==y) return;
		if (upper[x]<upper[y]) {
			x^=y;y^=x;x^=y;
		}
		if (upper[x]==upper[y]) --upper[y];
		upper[x]=y;
	}
}

public class Main {
	
	void dfs_uni(int cur,int par,ArrayList<Integer>[] g,int[] col) {
		col[cur]=1;
		for (int dst:g[cur]) {
			if (col[dst]==1) {
				System.out.println("Yes");
				System.exit(0);
			}
			if (col[dst]==0) dfs_uni(dst,cur,g,col);
		}
		col[cur]=2;
	}
	
	void dfs_bi(int cur,int par,ArrayList<Integer>[] g,int[] col) {
		col[cur]=1;
		for (int dst:g[cur]) {
			if (dst==par) continue;
			if (col[dst]!=0) {
				System.out.println("Yes");
				System.exit(0);
			}
			if (col[dst]==0) dfs_bi(dst,cur,g,col);
		}
		col[cur]=2;
	}
	
	void run() {
		FastScanner sc=new FastScanner();
		PrintWriter pw=new PrintWriter(System.out);
		
		int N=sc.nextInt();
		int M=sc.nextInt();
		ArrayList<Integer>[] g=new ArrayList[N];
		ArrayList<Integer>[] g2=new ArrayList[N];
		DJSet ds=new DJSet(N);
		int[] a=new int[M];
		int[] b=new int[M];
		int[] c=new int[M];
		for (int i=0;i<N;++i) g[i]=new ArrayList<>();
		for (int i=0;i<N;++i) g2[i]=new ArrayList<>();
		for (int i=0;i<M;++i) {
			a[i]=sc.nextInt();
			b[i]=sc.nextInt();
			c[i]=sc.nextInt();
			--a[i];--b[i];
			if (c[i]==1) { // bi
				g[a[i]].add(b[i]);g[b[i]].add(a[i]);
				ds.setUnion(a[i], b[i]);
			}
		}
		int[] col=new int[N];
		dfs_bi(0,-1,g,col);
		for (int i=0;i<M;++i) {
			if (c[i]==2) { // uni
				if (ds.equiv(a[i], b[i])) {
					System.out.println("Yes");
					return;
				}
				g2[ds.root(a[i])].add(ds.root(b[i]));
			}
		}
		Arrays.fill(col, 0);
		dfs_uni(ds.root(0),-1,g2,col);
		pw.println("No");
		pw.close();
	}
	
	void tr(Object...objects) {System.out.println(Arrays.deepToString(objects));}
	
    public static void main(String[] args) {
    	new Main().run();
    }
}




class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
    public boolean hasNext() { skipUnprintable(); return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
    	return (int)nextLong();
    }
}