#C問題:鉄道同好会


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


array = [[False]*N for i in range(N)]
end = 0
count = 0
end_i = []
val = []
table = []

def search (i,j,table):
	global array
	global count
	global end_i

	table.append(i)
	tmp = []

	count += 1	

	array[i][j] = False
	array[j][i] = False

	for k in range(N):
		if array[j][k]:
			if search(j,k,table):
				tmp.append(True)
			else:
				tmp.append(False)

	if tmp == []:
		return ((j in table) or (j == end_i[1]))

	else:
		return all(tmp)

for i in range(M):
	Sa,Sb = map(int,input().split(" "))
	array[Sa][Sb] = True
	array[Sb][Sa] = True



#オイラーグラフか半オイラーグラフかの判定
for i in range(N):
	num = array[i].count(True)
	if num%2 == 1:
		end += 1
		end_i.append(i)
		if end >= 3:
			print("NO")
			exit(0)


if end == 0:
	end_i.append(Sa)
	end_i.append(Sa)


for i in range(N):
	if array[end_i[0]][i]:
		val.append(search(end_i[0],i,[]))


if all(val):
	print("YES")
else:
	print("NO")