import sys
input = sys.stdin.readline
N, M = map(int, input().split())
e = [[] for _ in range(N + 1)]
inc = [0] * (N + 1)
for _ in range(M):
  u, v = map(int, input().split())
  e[u].append(v)
  e[v].append(u)
  inc[u] += 1
  inc[v] += 1

import heapq
hpush = heapq.heappush
hpop = heapq.heappop
h = []
for x in range(1, N + 1):
  hpush(h, (inc[x], x))
res = 0

while len(h):
  c, x = hpop(h)
  if inc[x] != c:
    hpush(h, (inc[x], x))
    continue
  if c != 1: continue
  for y in e[x]:
    inc[y] -= 1
    hpush(h, (inc[y], y))
  inc[x] = 0
  res += 1
  
if res & 1: print("Yes")
else: print("No")