clue sum	clue length
clue sum	2	3	4	5	6	7	8	9
3	1,2
4	1,3
5	1-4
6	1-5	1,2,3
7	1-6	1,2,4
8	1-7	1-5
9	1-8	1-6
10	1-9	1-7	1,2,3,4
11	2-9	1-8	1,2,3,5
12	3-9	1-9	1-6
13	4-9	1-9	1-7
14	5-9	1-9	1-8
15	6-9	1-9	1-9	1,2,3,4,5
16	7,9	1-9	1-9	1,2,3,4,6
17	8,9	1-9	1-9	1-7
18		1-9	1-9	1-8
19		2-9	1-9	1-9
20		3-9	1-9	1-9
21		4-9	1-9	1-9	1,2,3,4,5,6
22		5-9	1-9	1-9	1,2,3,4,5,7
23		6,8,9	1-9	1-9	1-8
24		7,8,9	1-9	1-9	1-9
25			1-9	1-9	1-9
26			2-9	1-9	1-9
27			3-9	1-9	1-9
28			4-9	1-9	1-9	1,2,3,4,5,6,7
29			5,7,8,9	1-9	1-9	1,2,3,4,5,6,8
30			6,7,8,9	1-9	1-9	1-9
31				1-9	1-9	1-9
32				2-9	1-9	1-9
33				3-9	1-9	1-9
34				4,6,7,8,9	1-9	1-9
35				5,6,7,8,9	1-9	1-9
36					1-9	1-9	all but 9
37					2-9	1-9	all but 8
38					3,5,6,7,8,9	1-9	all but 7
39					4,5,6,7,8,9	1-9	all but 6
40						1-9	all but 5
41						2,4,5,6,7,8,9	all but 4
42						3,4,5,6,7,8,9	all but 3
43							all but 2
44							all but 1
45								all digits