n, m = map(int, input().split())
deg = [0] * n
to = [[] for _ in range(n)]
for _ in range(m):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    to[a].append(b)
    to[b].append(a)
    deg[a] += 1
    deg[b] += 1

cnt = 0
todo = []
for i in range(n):
    if deg[i] == 1:
        todo.append(i)

while todo:
    u = todo.pop()
    if deg[u] != 1:
        continue
    cnt += 1
    for v in to[u]:
        deg[v] -= 1
        if deg[v] == 1:
            todo.append(v)

print('Yes' if cnt % 2 else 'No')