mod = 1000000007
eps = 10**-9


def main():
    import sys
    from collections import deque
    input = sys.stdin.readline

    N, M = map(int, input().split())
    adj = [[] for _ in range(N+1)]
    deg = [0] * (N+1)
    for _ in range(M):
        a, b = map(int, input().split())
        deg[a] += 1
        deg[b] += 1
        adj[a].append(b)
        adj[b].append(a)

    que = deque()
    cnt = 0
    for v in range(1, N+1):
        if deg[v] == 1:
            que.append(v)
    seen = [0] * (N+1)
    while que:
        v = que.popleft()
        seen[v] = 1
        cnt += 1
        flg = 0
        for u in adj[v]:
            if not seen[u]:
                deg[u] -= 1
                if deg[u] == 1:
                    que.append(u)
                flg = 1
        if not flg:
            cnt -= 1
    if cnt & 1:
        print("Yes")
    else:
        print("No")


if __name__ == '__main__':
    main()