n,m = map(int,input().split())
g = [[] for _ in range(n)]
deg = [0]*n
for i in range(m):
    a,b = map(int,input().split())
    g[a-1].append((b-1,i))
    g[b-1].append((a-1,i))
    deg[a-1] += 1
    deg[b-1] += 1
q = [i for i in range(n) if deg[i]==1]
used = [0]*m
for v in q:
    for c,i in g[v]:
        used[i] = 1
        deg[c] -= 1
        if deg[c] == 1:
            q.append(c)
print("Yes" if sum(used)%2 else "No")