line = gets.chomp!
abort "format error" unless line=~/^\d+ \d+$/
abort "end of line error" unless !gets

n,m = line.split.map(&:to_i)

abort "3 <= N <= 10^5" unless 3 <= n && n <= 100000
abort "3 <= M <= 10^5" unless 2 <= m && m <= 100000



def connect(*arg)
    puts arg*" "
end


na = n/2
mbest = na*(n-na)

unless n-1 <= m && m <= mbest
    puts "NO"
    
else
    puts "YES"
    puts (1..n).to_a*" "
    
    # 連結になるように辺を加える
    connect(1, na+1)
    2.upto(na){|i|
        connect(i, na+i-1)
        connect(i, na+i)
    }
    (na*2+1).upto(n){|i|
        connect(na, i)
    }
    m -= n-1
    
    # 残りの辺を加える
    ai = 1
    bi = 1
    m.times{
        # インクリメント
        bi += 1
        if (bi > n-na)
            ai += 1
            bi = 1
        end
        # 既に辺があるなら加えない
        redo if (ai == bi || ai == bi + 1)
        connect(ai,na + bi)
    }
    
end