a 1 =2-a 2 b 7 -a 3 b 6 -a 4 b 5 -a 5 b 4 -a 6 b 3 -a 7 b 2 -b 1

   =2-(1+2b 3 b 7 +2b 4 b 6 +2b 5 b +3b 5 b 7 +b 6 b 7 -b 6 -b 4 -b 3 -b 2 -6b 5 b 6 b 7 -b 4 b 7 )b 7 -(1+2b 5 b 6 +2b 4 b 7 -b 7 -b 5 -b 4 -b 3 -b 5 b 7 )b 6 -(1+2b 7 b 5 -b 6 b 7 -b 5 -b 4 )b 5 -(1+2b 6 b -b 5 -b 6 -b 7 )b 4 -(1-b 6 )b 3 -(1-b 7 )b 2 -b 1

   =2-b 7 -2b 3 b 7 -2b 4 b 6 b 7 -2b 5 b 6 b 7 -3b 5 b 7 -b 6 b 7 +b 6 b 7 +b 4 b 7 +b 3 b 7 +b 2 b 7 +6b 5 b 6 b 7 +b 4 b 7 -b 6 -2b 5 b 6 -2b 4 b 6 b 7 +b 6 b 7 +b 5 b 6 +b 4 b 6 +b 3 b 6 +b 5 b 6 b 7 -b 5 -2b 5 b 7 +b 5 b 6 b 7 +b 5 +b 4 b 5 -b 4 -2b 4 b 6 b +b 4 b 5 +b 4 b 6 +b 4 b 7 -b 3 +b 3 b 6 -b 2 +b 2 b 7 -b 1

   =2+b 2 b 7 +b 2 b 7 +b 3 b 6 +b 3 b 6 -2b 3 b +b 3 b 7 +b 4 b 5 +b 4 b 5 +b 4 b 6 +b 4 b 6 +b 4 b 7 +b 4 b 7 +b 4 b 7 -2b 5 b 6 +b 5 b 6 -3b 5 b 7 -2b 5 b 7 -b 6 b 7 +b 6 b 7 +b 6 b 7 -2b 4 b 6 b 7 -2b 4 b 6 b 7 -2b 4 b 6 b 7 -2b 5 b 6 b 7 +6b 5 b 6 b 7 +b 5 b 6 b 7 +b 5 b 6 b 7 -b 7 -b 6 -b 5 +b 5 -b 4 -b 3 -b 2 -b 1

   =2+2b 2 b 7 +2b 3 b 6 +2b 4 b 5 +2b 4 b 6 +3b 4 b 7 +b 6 b 7 +6b 5 b 6 b 7 -b 7 -b 6 -b 4 -b 3 -b 2 -b 1 -b 3 b 7 -b 5 b 6 -5b 5 b 7 -6b 4 b 6 b 7

  对上述推导的a 1 ,a 2 ,a 3 ,a 4 ,a 5 ,a 6 ,a 7 ,a 8 8条2级数字绳组进行跳级级,有:

  a 8 =1

  a 7 =1-b 7

  a 6 =1+b 6 b 7 -b 6

  a 5 =1+b 7 b -(b 5 +b 6 +b 7 )

  a 4 =1+b 5 b 6 +b 4 b 7 -(b 6 b 7 +b 5 +b 4 +b 5 b 6 b 7 )

  a 3 =1+b 3 b 7 +b 4 b 6 +b 5 b 6 +b 5 b 6 b 7 -(b 7 +b 5 +b 4 +b 3 +b 5 b 7 +b 5 b 6 b 7 +b 4 b 6 b 7 )

  a 2 =1+b 2 b 7 +b 3 b 6 +b 4 b 5 +b 4 b 6 +b 5 b 7 +b 6 b 7 +b 5 b 6 b 7 -(b 6 +b 4 +b 3 +b 2 +b 4 b 6 b 7 )

  a 1 =2+b 4 b 7 +b 6 b 7 -b 7 -b 6 -b 4 -b 3 -b 2 -b 1 -b 3 b 7 -b 5 b 6 -b 5 b 7

  对上述数字绳组再次进行简化,有:

  a 8 =1

  a 7 =(1-b 7 )

  a 6 =b 6 b 7 +(1-b 6 )

  a 5 =b 7 b 5 +(1   -b 5 )+(1-b 6 )+(1-b 7 )-2

  a 4 =b 5 b 6 +b 4 b 7 +(1-b 6 b 7 )+(1-b 5 )+(1-b 4 )+(1-b 5 b 6 b 7 )-3

  a 3 =b 3 b 7 +b 4 b 6 +b 5 b 6 +b 5 b 6 b 7 +(1-b 7 )+(1-b 5 )+(1-b 4 )+(1-b 3 )+(1-b 5 b 7 )+(1-b 5 b 6 b 7 )+(1-b 4 b 6 b 7 )-6

  a 2 =b 2 b 7 +b 3 b 6 +b 4 b 5 +b 4 b 6 +b 5 b 7 +b 6 b 7 +b 5 b 6 b 7 +(1-b 6 )+(1-b 4 )+(1-b 3 )+(1-b 2 )+(1-b 4 b 6 b 7 )-4

  a 1 =b 4 b 7 +b 6 b 7 +(1-b 7 )+(1-b 6 )+(1-b 4 )+(1-b 3 )+(1-b 2 )+(1-b 1 )+(1-b 3 b 7 )+(1-b 5 b 6 )+(1-b 5 b 7 )-7

  把上述数字绳组中的负数通过跳级消减为每条数字绳一个结,有:

  a 8 =1

  a 7 =(1-b 7 )-1

  a 6 =b 6 b 7 +(1-b 6 )

  a 5 =b 7 b 5 +(1   -b 5 )+(1-b 6 )+(1-b 7 )-1

  a 4 =b 5 b 6 +b 4 b 7 +(1-b 6 b 7 )+(1-b 5 )+(1-b 4 )+(1-b 5 b 6 b 7 )-1

  a 3 =b 3 b 7 +b 4 b 6 +b 5 b 6 +b 5 b 6 b 7 +(1-b 7 )+(1-b 5 )+(1-b 4 )+(1-b 3 )+(1-b 5 b 7 )+(1-b 5 b 6 b 7 )+(1-b 4 b 6 b 7 )-1

  a 2 =b 2 b 7 +b 3 b 6 +b 4 b 5 +b 4 b 6 +b 5 b 7 +b 6 b 7 +b 5 b 6 b 7 +(1-b 6 )+(1-b 4 )+(1-b 3 )+(1-b 2 )+(1-b 4 b 6 b 7 )-1

  a 1 =b 4 b 7 +b 6 b 7 +(1-b 7 )+(1-b 6 )+(1-b 4 )+(1-b 3 )+(1-b 2 )+(1-b 1 )+(1-b 3 b 7 )+(1-b 5 b 6 )+(1-b 5 b 7 )-1

  消减掉上述数字绳组中的负数,有::

  a 8 =2

  a 7 =(1-b 7 )