N,M = map(int,input().split())
G = [[] for _ in range(N+1)]
gnum = [0] * (N+1)
for _ in range(M):
    a,b = map(int,input().split())
    G[a].append(b)
    G[b].append(a)
    gnum[a] += 1
    gnum[b] += 1
memo = [0] * (N + 1)
from collections import deque
q = deque()
for i in range(1,N+1):
    if gnum[i] == 1:
        q.append(i)
        memo[i] = 1
count = 0
while q:
    now = q.popleft()
    if gnum[now] != 1:continue
    count += 1
    for v in G[now]:
        gnum[v] -= 1
        if gnum[v] == 1:
            memo[v] = 1
            q.append(v)
if count & 1:
    print('Yes')
else:
    print('No')