(1,)

(2,)

(3,)
(2,1,)

(4,)
(3,1,)

(5,)
(4,1,)
(3,2,)

(6,)
(5,1,)
(4,2,)
(3,2,1,)

(7,)
(6,1,)
(5,2,)
(4,3,)
(4,2,1,)

(8,)
(7,1,)
(6,2,)
(5,3,)
(5,2,1,)
(4,3,1,)

(9,)
(8,1,)
(7,2,)
(6,3,)
(5,4,)
(6,2,1,)
(5,3,1,)

(9,1,)
(8,2,)
(7,3,)
(6,4,)
(7,2,1,)
(6,3,1,)
(5,4,1,)
(5,3,2,)
(4,3,2,1,)

(9,2,)
(8,3,)
(7,4,)
(6,5,)
(8,2,1,)
(7,3,1,)
(6,4,1,)
(6,3,2,)
(5,4,2,)
(5,3,2,1,)

(9,3,)
(8,4,)
(7,5,)
(9,2,1,)
(8,3,1,)
(7,4,1,)
(6,5,1,)
(6,4,2,)
(6,3,2,1,)
(5,4,2,1,)

(9,4,)
(8,5,)
(7,6,)
(9,3,1,)
(8,4,1,)
(7,5,1,)
(7,4,2,)
(6,5,2,)
(6,4,3,)
(7,3,2,1,)
(6,4,2,1,)

(9,5,)
(8,6,)
(9,4,1,)
(8,5,1,)
(7,6,1,)
(7,5,2,)
(7,4,3,)
(6,5,3,)
(8,3,2,1,)
(7,4,2,1,)
(6,5,2,1,)
(6,4,3,1,)

(9,6,)
(8,7,)
(9,5,1,)
(8,6,1,)
(8,5,2,)
(7,6,2,)
(7,5,3,)
(9,3,2,1,)
(8,4,2,1,)
(7,5,2,1,)
(7,4,3,1,)
(6,5,3,1,)
(5,4,3,2,1,)

(9,7,)
(9,6,1,)
(8,7,1,)
(8,6,2,)
(8,5,3,)
(7,6,3,)
(7,5,4,)
(9,4,2,1,)
(8,5,2,1,)
(7,6,2,1,)
(7,5,3,1,)
(6,4,3,2,1,)

(9,8,)
(9,7,1,)
(9,6,2,)
(8,7,2,)
(8,6,3,)
(8,5,4,)
(7,6,4,)
(9,5,2,1,)
(8,6,2,1,)
(8,5,3,1,)
(7,6,3,1,)
(7,5,4,1,)
(7,5,3,2,)
(7,4,3,2,1,)
(6,5,3,2,1,)

(9,8,1,)
(9,7,2,)
(9,6,3,)
(8,7,3,)
(8,6,4,)
(9,6,2,1,)
(8,7,2,1,)
(8,6,3,1,)
(8,5,4,1,)
(7,6,4,1,)
(7,6,3,2,)
(7,5,4,2,)
(8,4,3,2,1,)
(7,5,3,2,1,)

(9,8,2,)
(9,7,3,)
(9,6,4,)
(8,7,4,)
(8,6,5,)
(9,7,2,1,)
(9,6,3,1,)
(8,7,3,1,)
(8,6,4,1,)
(8,6,3,2,)
(8,5,4,2,)
(7,6,4,2,)
(9,4,3,2,1,)
(8,5,3,2,1,)
(7,6,3,2,1,)
(7,5,4,2,1,)

(9,8,3,)
(9,7,4,)
(9,6,5,)
(8,7,5,)
(9,8,2,1,)
(9,7,3,1,)
(9,6,4,1,)
(8,7,4,1,)
(8,6,5,1,)
(8,6,4,2,)
(9,5,3,2,1,)
(8,6,3,2,1,)
(8,5,4,2,1,)
(7,6,4,2,1,)

(9,8,4,)
(9,7,5,)
(9,8,3,1,)
(9,7,4,1,)
(9,6,5,1,)
(8,7,5,1,)
(8,7,4,2,)
(8,6,5,2,)
(8,6,4,3,)
(9,6,3,2,1,)
(8,7,3,2,1,)
(8,6,4,2,1,)
(6,5,4,3,2,1,)

(9,8,5,)
(9,7,6,)
(9,8,4,1,)
(9,7,5,1,)
(9,7,4,2,)
(9,6,5,2,)
(8,7,5,2,)
(8,7,4,3,)
(8,6,5,3,)
(9,7,3,2,1,)
(9,6,4,2,1,)
(8,7,4,2,1,)
(8,6,5,2,1,)
(8,6,4,3,1,)
(7,5,4,3,2,1,)

(9,8,6,)
(9,8,5,1,)
(9,7,6,1,)
(9,7,5,2,)
(9,7,4,3,)
(9,6,5,3,)
(8,7,5,3,)
(9,8,3,2,1,)
(9,7,4,2,1,)
(9,6,5,2,1,)
(8,7,5,2,1,)
(8,7,4,3,1,)
(8,6,5,3,1,)
(8,5,4,3,2,1,)
(7,6,4,3,2,1,)

(9,8,7,)
(9,8,6,1,)
(9,8,5,2,)
(9,7,6,2,)
(9,7,5,3,)
(9,8,4,2,1,)
(9,7,5,2,1,)
(9,7,4,3,1,)
(9,6,5,3,1,)
(8,7,5,3,1,)
(9,5,4,3,2,1,)
(8,6,4,3,2,1,)

(9,8,7,1,)
(9,8,6,2,)
(9,8,5,3,)
(9,7,6,3,)
(9,7,5,4,)
(9,8,5,2,1,)
(9,7,6,2,1,)
(9,7,5,3,1,)
(9,6,4,3,2,1,)
(8,7,4,3,2,1,)
(8,6,5,3,2,1,)

(9,8,7,2,)
(9,8,6,3,)
(9,8,5,4,)
(9,7,6,4,)
(9,8,6,2,1,)
(9,8,5,3,1,)
(9,7,6,3,1,)
(9,7,5,4,1,)
(9,7,5,3,2,)
(9,7,4,3,2,1,)
(9,6,5,3,2,1,)
(8,7,5,3,2,1,)

(9,8,7,3,)
(9,8,6,4,)
(9,8,7,2,1,)
(9,8,6,3,1,)
(9,8,5,4,1,)
(9,7,6,4,1,)
(9,7,6,3,2,)
(9,7,5,4,2,)
(9,8,4,3,2,1,)
(9,7,5,3,2,1,)

(9,8,7,4,)
(9,8,6,5,)
(9,8,7,3,1,)
(9,8,6,4,1,)
(9,8,6,3,2,)
(9,8,5,4,2,)
(9,7,6,4,2,)
(9,8,5,3,2,1,)
(9,7,6,3,2,1,)
(9,7,5,4,2,1,)
(7,6,5,4,3,2,1,)

(9,8,7,5,)
(9,8,7,4,1,)
(9,8,6,5,1,)
(9,8,6,4,2,)
(9,8,6,3,2,1,)
(9,8,5,4,2,1,)
(9,7,6,4,2,1,)
(8,6,5,4,3,2,1,)

(9,8,7,6,)
(9,8,7,5,1,)
(9,8,7,4,2,)
(9,8,6,5,2,)
(9,8,6,4,3,)
(9,8,7,3,2,1,)
(9,8,6,4,2,1,)
(9,6,5,4,3,2,1,)
(8,7,5,4,3,2,1,)

(9,8,7,6,1,)
(9,8,7,5,2,)
(9,8,7,4,3,)
(9,8,6,5,3,)
(9,8,7,4,2,1,)
(9,8,6,5,2,1,)
(9,8,6,4,3,1,)
(9,7,5,4,3,2,1,)

(9,8,7,6,2,)
(9,8,7,5,3,)
(9,8,7,5,2,1,)
(9,8,7,4,3,1,)
(9,8,6,5,3,1,)
(9,8,5,4,3,2,1,)
(9,7,6,4,3,2,1,)

(9,8,7,6,3,)
(9,8,7,5,4,)
(9,8,7,6,2,1,)
(9,8,7,5,3,1,)
(9,8,6,4,3,2,1,)

(9,8,7,6,4,)
(9,8,7,6,3,1,)
(9,8,7,5,4,1,)
(9,8,7,5,3,2,)
(9,8,7,4,3,2,1,)
(9,8,6,5,3,2,1,)

(9,8,7,6,5,)
(9,8,7,6,4,1,)
(9,8,7,6,3,2,)
(9,8,7,5,4,2,)
(9,8,7,5,3,2,1,)

(9,8,7,6,5,1,)
(9,8,7,6,4,2,)
(9,8,7,6,3,2,1,)
(9,8,7,5,4,2,1,)
(8,7,6,5,4,3,2,1,)

(9,8,7,6,5,2,)
(9,8,7,6,4,3,)
(9,8,7,6,4,2,1,)
(9,7,6,5,4,3,2,1,)

(9,8,7,6,5,3,)
(9,8,7,6,5,2,1,)
(9,8,7,6,4,3,1,)
(9,8,6,5,4,3,2,1,)

(9,8,7,6,5,4,)
(9,8,7,6,5,3,1,)
(9,8,7,5,4,3,2,1,)

(9,8,7,6,5,4,1,)
(9,8,7,6,5,3,2,)
(9,8,7,6,4,3,2,1,)

(9,8,7,6,5,4,2,)
(9,8,7,6,5,3,2,1,)

(9,8,7,6,5,4,3,)
(9,8,7,6,5,4,2,1,)

(9,8,7,6,5,4,3,1,)

(9,8,7,6,5,4,3,2,)

(9,8,7,6,5,4,3,2,1,)