def main():
    N, M = map(int, input().split())
    graph = [set() for _ in range(N)]
    degrees = [0] * N
    for _ in range(M):
        A, B = map(lambda n: int(n) - 1, input().split())
        graph[A].add(B)
        graph[B].add(A)

    removable_edges = set()
    for idx, neighbors in enumerate(graph):
        if len(neighbors) != 1:
            continue
        for neighbor in neighbors:
            removable_edges.add((min(idx, neighbor), max(idx, neighbor)))

    ctr = 0
    while removable_edges:
        cur_edge = removable_edges.pop()
        graph[cur_edge[0]].remove(cur_edge[1])
        graph[cur_edge[1]].remove(cur_edge[0])
        ctr += 1
        if len(graph[cur_edge[0]]) == 1:
            for neighbor in graph[cur_edge[0]]:
                removable_edges.add(
                    (min(
                        cur_edge[0], neighbor), max(
                        cur_edge[0], neighbor)))
        if len(graph[cur_edge[1]]) == 1:
            for neighbor in graph[cur_edge[1]]:
                removable_edges.add(
                    (min(
                        cur_edge[1], neighbor), max(
                        cur_edge[1], neighbor)))
    if ctr % 2:
        print("Yes")
    else:
        print("No")


if __name__ == "__main__":
    main()