local n, m = io.read("*n", "*n")
local large = math.floor(n / 2)
local small = n - large
if m < n - 1 or small * large < m then
  print("NO") os.exit()
end
print("YES")
for i = 1, n do
  io.write(i)
  io.write(i == n and "\n" or " ")
end
for i = 1, small do
  if small + i <= n then
    print(i .. " " .. small + i)
  end
  if 1 < i then
    print(i .. " " .. small + i - 1)
  end
end
local rem = m - n + 1
for i = 1, small do
  if rem == 0 then break end
  for j = small + 1, n do
    if rem == 0 then break end
    if j ~= small + i and j ~= small + i - 1 then
      print(i .. " " .. j)
      rem = rem - 1
    end
  end
end