import sys

sys.setrecursionlimit(10**6)
int1 = lambda x: int(x)-1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.buffer.readline())
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def LI1(): return list(map(int1, sys.stdin.buffer.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def BI(): return sys.stdin.buffer.readline().rstrip()
def SI(): return sys.stdin.buffer.readline().rstrip().decode()
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
dij = [(0, 1), (1, 0), (1, 1), (1, -1)]
inf = 10**19
# md = 998244353
md = 10**9+7

class UnionFind:
    def __init__(self, n):
        self.state = [-1]*n
        self.size_table = [1]*n
        # cntはグループ数
        self.cnt = n

    def root(self, u):
        v = self.state[u]
        if v < 0: return u
        self.state[u] = res = self.root(v)
        return res

    def merge(self, u, v):
        ru = self.root(u)
        rv = self.root(v)
        if ru == rv: return
        du = self.state[ru]
        dv = self.state[rv]
        if du > dv: ru, rv = rv, ru
        if du == dv: self.state[ru] -= 1
        self.state[rv] = ru
        self.cnt -= 1
        self.size_table[ru] += self.size_table[rv]
        return

    # グループの要素数
    def size(self, u):
        return self.size_table[self.root(u)]

from collections import defaultdict

n, m = LI()
uf = UnionFind(n)

to = [[] for _ in range(n)]
deg = [0]*n
for _ in range(m):
    u, v, c = LI1()
    if c:
        to[u].append(v)
    else:
        uf.merge(u, v)
        deg[u] += 1
        deg[v] += 1

rtou = defaultdict(list)
for u in range(n):
    r = uf.root(u)
    rtou[r].append(u)

gtou = list(rtou.values())
utog = [0]*n
for g, uu in enumerate(gtou):
    e = 0
    for u in uu:
        utog[u] = g
        e += deg[u]
    if e//2 > len(uu)-1:
        print("Yes")
        exit()

gn = len(gtou)

to2 = [set() for _ in range(gn)]
for u in range(n):
    g = utog[u]
    for v in to[u]:
        to2[g].add(utog[v])

def dfs(g):
    stack = [g]
    while stack:
        g = stack.pop()
        if fin[g] == -1:
            fin[g] = 0
            stack.append(g)
            for v in to2[g]:
                if fin[v] == -1:
                    stack.append(v)
                elif fin[v] == 0:
                    return True
        elif fin[g] == 0:
            fin[g] = 1
    return False

fin = [-1]*gn
for g in range(gn):
    if fin[g] == -1 and dfs(g):
        print("Yes")
        exit()

print("No")