from collections import deque

N,M=map(int,input().split())

E=[[] for _ in range(N+1)]
D=[0]*(N+1)
for _ in range(M):
    a,b=map(int,input().split())
    E[a].append(b)
    E[b].append(a)

    D[a]+=1; D[b]+=1

X=[0]*(N+1)
Q=deque([x for x in range(N+1) if D[x]==1])

while Q:
    x=Q.popleft()

    if X[x]==1 or D[x]!=1:
        continue

    X[x]=1

    for y in E[x]:
        D[x]=0
        D[y]-=1

        if D[y]==1 and X[y]==0:
            Q.append(y)

print("Yes" if sum(X)%2==1 else "No")