#int(input())
#map(int, input().split())
#list(map(int, input().split()))

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

a, b = divmod(N, 2)
if M < N-1 or M > a*(a+b):
    print("NO")
    exit()
else:
    print("YES")

a = [0] * N
for i in range(N):
    a[i] = (i % 2) + 1
print(" ".join([str(_) for _ in a]))

s = set()
for i in range(N-1):
    s.add((i, i+1))

M -= N-1
c = 0
while M:
    c += 1
    u, v = divmod(c, N)
    if u >= v:
        continue
    if (u+v) % 2 == 0:
        continue
    if (u, v) not in s:
        M -= 1
        s.add((u, v))

for x in s:
    print(x[0]+1, x[1]+1)