import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

# 二部グラフが必要十分

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

x = N//2

if M < N - 1 or M > x * (N-x):
    print('NO')
    exit()

# 奇数を左に、偶数を右に置く
E = []
for i in range(1,N):
    E.append((i,i+1))

rest = M - (N-1)
i = 1
for i in range(1,N+1,2):
    if not rest:
        break
    for j in range(2,N+1,2):
        if abs(i-j) == 1:
            continue
        E.append((i,j))
        rest -= 1
        if not rest:break

E

A = [0] * N
A[1::2] = range((N+3)//2,N+1)
A[::2] = range(1,(N+3)//2)

print('Yes')
print(' '.join(map(str,A)))
print('\n'.join('{} {}'.format(x,y) for x,y in E))