import sys
input = sys.stdin.readline

N,M=map(int,input().split())

# UnionFind

Group = [i for i in range(2*N+1)] # グループ分け
Nodes = [1]*(2*N+1) # 各グループのノードの数

def find(x):
    while Group[x] != x:
        x=Group[x]
    return x

def Union(x,y):
    if find(x) != find(y):
        if Nodes[find(x)] < Nodes[find(y)]:
            
            Nodes[find(y)] += Nodes[find(x)]
            Nodes[find(x)] = 0
            Group[find(x)] = find(y)
            
        else:
            Nodes[find(x)] += Nodes[find(y)]
            Nodes[find(y)] = 0
            Group[find(y)] = find(x)

for i in range(M):
    a,b=map(int,input().split())
    Union(a,b+N)
    Union(a+N,b)

for i in range(1,N+1):
    if find(i)!=find(i+N):
        print("No")
        break
else:
    print("Yes")