import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**6)


class UnionFind(object):
    def __init__(self, n: int):
        self.nodes = [-1]*n

    def find(self, x: int) -> int:
        if self.nodes[x] < 0:
            return x
        else:
            self.nodes[x] = self.find(self.nodes[x])
            return self.nodes[x]

    def unite(self, x: int, y: int) -> bool:
        root_x, root_y, nodes = self.find(x), self.find(y), self.nodes

        if root_x != root_y:
            if nodes[root_x] > nodes[root_y]:
                root_x, root_y = root_y, root_x
            nodes[root_x] += nodes[root_y]
            nodes[root_y] = root_x

        return root_x != root_y


if __name__ == '__main__':
    N, M = map(int, input().split())
    edges = []
    uf = UnionFind(N)

    for u, v, c in (map(int, input().split()) for _ in range(M)):
        u -= 1
        v -= 1
        if c == 1:
            if not uf.unite(u, v):
                print('Yes')
                exit()
        else:
            edges.append((u, v))

    adj = [set() for _ in range(N)]
    indeg = [0]*N
    outdeg = [0]*N
    for u, v in edges:
        par_u, par_v = uf.find(u), uf.find(v)
        if par_u == par_v:
            print('Yes')
            exit()
        if par_v not in adj[par_u]:
            adj[par_u].add(par_v)
            outdeg[par_u] += 1
            indeg[par_v] += 1

    stack = [i for i in range(N) if outdeg[i] and indeg[i] == 0]

    while stack:
        v = stack.pop()
        for dest in adj[v]:
            if indeg[dest] == 0:
                continue
            indeg[dest] -= 1
            if indeg[dest] == 0:
                stack.append(dest)

    if max(indeg) > 0:
        print('Yes')
    else:
        print('No')