import collections
N,M = map(int, input().split())
L = [[]  for i in range(N)]
CNT = [0]*N
for _ in range(M):
    a,b = map(int, input().split())
    a-=1
    b-=1
    L[a].append(b)
    L[b].append(a)
    CNT[a]+=1
    CNT[b]+=1

d = collections.deque()
for i in range(N):
    if CNT[i]==1:
        d.append(i)
cut = 0
while len(d):
    i = d.popleft()
    CNT[i]-=1
    flag = False
    for l in L[i]:
        if CNT[l]>0:
            flag = True
            CNT[l]-=1
            if CNT[l]==1:
                d.append(l)
    if flag:
        cut+=1


if cut%2==1:
    print('Yes')
else:
    print('No')