import sys
input = lambda : sys.stdin.readline().rstrip()

sys.setrecursionlimit(2*10**5+10)
write = lambda x: sys.stdout.write(x+"\n")
debug = lambda x: sys.stderr.write(x+"\n")
writef = lambda x: print("{:.12f}".format(x))


# グラフの読み込み
n,m = map(int, input().split())
ns = [[] for _ in range(n)]
ds = [0]*n
for _ in range(m):
    u,v = map(int, input().split())
    u -= 1
    v -= 1
    ns[u].append(v)
    ns[v].append(u)
    ds[u] += 1
    ds[v] += 1

done = [0]*n
ng = [0]*n    
q = []
for u in range(n):
    if ds[u]==1:
        q.append(u)
        done[u] = 1
val = 0
while q:
    u = q.pop()
    if not ng[u]:
        val += 1
    for v in ns[u]:
        ds[v] -= 1
        if ds[v]==1 and (not done[v]):
            q.append(v)
            done[v] = 1
        if ds[v]==0:
            ng[v] = 1
if val%2==0:
    print("No")
else:
    print("Yes")