N,M = map(int,input().split())
AB = [list(map(int,input().split())) for _ in range(M)]

E =[[] for _ in range(N+1)]
for a,b in AB:
    E[a].append(b)
    E[b].append(a)

L = set()
for i in range(1,N+1):
    if len(E[i]) == 1 and not(E[i][0] in L):
        L.add(i)

cnt = 0
while len(L) > 0:
    cnt += 1
    a = next(iter((L)))
    L.remove(a)
    b = E[a][0]
    E[a].remove(b)
    E[b].remove(a)
    if len(E[b]) == 1 and (len(E[E[b][0]])!=1):
        L.add(b)

if cnt % 2 == 1: print("Yes")
else: print("No")