def main():
    import sys
    input = sys.stdin.buffer.readline

    def yes():
        print('Yes')
        exit()

    class UnionFind():
        def __init__(self, n):
            self.n = n
            self.root = [-1] * (n + 1)
            self.rnk = [0] * (n + 1)

        def find_root(self, x):
            while self.root[x] >= 0:
                x = self.root[x]
            return x

        def unite(self, x, y):
            x = self.find_root(x)
            y = self.find_root(y)
            if x == y:
                return
            elif self.rnk[x] > self.rnk[y]:
                self.root[x] += self.root[y]
                self.root[y] = x
            else:
                self.root[y] += self.root[x]
                self.root[x] = y
                if self.rnk[x] == self.rnk[y]:
                    self.rnk[y] += 1

        def isSameGroup(self, x, y):
            return self.find_root(x) == self.find_root(y)

        def size(self, x):
            return -self.root[self.find_root(x)]

    N, M = map(int, input().split())
    adj = [[] for _ in range(N+1)]
    edge1 = []
    edge2 = []
    for _ in range(M):
        a, b, c = map(int, input().split())
        if c == 1:
            edge1.append((a, b))
        else:
            edge2.append((a, b))
    UF = UnionFind(N)
    for a, b in edge1:
        if UF.isSameGroup(a, b):
            yes()
        else:
            UF.unite(a, b)
    adj_new = [set() for _ in range(N+1)]
    adj_new_rev = [set() for _ in range(N+1)]
    for a, b in edge2:
        ar = UF.find_root(a)
        br = UF.find_root(b)
        adj_new[ar].add(br)
        adj_new_rev[br].add(ar)

    cnt = 0
    st = []
    in_num = [0] * (N+1)
    for v in range(1, N+1):
        if len(adj_new_rev[v]) == 0:
            st.append(v)
        else:
            in_num[v] = len(adj_new_rev[v])
    while st:
        v = st.pop()
        cnt += 1
        for u in adj_new[v]:
            in_num[u] -= 1
            if in_num[u] == 0:
                st.append(u)
    if cnt == N:
        print('No')
    else:
        print('Yes')


if __name__ == '__main__':
    main()