import sys
INF = float('inf')
#10**20,2**63,float('inf')
MOD = 10**9 + 7
MOD2 = 998244353
from collections import defaultdict
def solve():
    def II(): return int(sys.stdin.readline())
    def LI(): return list(map(int, sys.stdin.readline().split()))
    def LC(): return list(input())
    def IC(): return [int(c) for c in input()]
    def MI(): return map(int, sys.stdin.readline().split())
    N,M = MI()
    Sub = defaultdict(lambda:0)
    Graph = [[] for _ in range(N+1)]
    for _ in range(M):
        A,B = MI()
        Graph[A].append(B)
        Graph[B].append(A)
    Flower = defaultdict(lambda:0)
    #print(Graph)
    for _ in range(N):
        for n in range(1,N+1):
            if len(Graph[n]) -Sub[n] == 1:
                Sub[n] = len(Graph[n])
                Flower[n] = 1
                Tmp = 0
                for g in Graph[n]:
                    if Flower[g] == 0:
                        Sub[g] += 1
    if sum(list(Flower.values())) %2 == 1:
        print("Yes")
    else:
        print("No")
    return
solve()
#sys.setrecursionlimit(10 ** 6)#再帰関数ではコメントにしないこと！！