riddler

	A	B	C	D	E	F	G	H	I
1	12		6	12	24	3
2						9
3					6	9
4	12	12	21	6	12
5
6	6
7	6	3
8									Total choices in this branch
9	red total	24	choices:	green takes 9	blue takes both 3s (forced)	green takes far left 6 (forced)	blue takes all the 6s, yellow takes D&E 12s (forced)	2 choices for red	2
10	yellow total	6		green takes 3	red takes 9+3	blue takes all 6s	everything is now forced		1
11					red takes 9+3	blue takes a4,a6,c1,e4	but... yellow can't finish		0
12	green total	24			blue takes 9+3	yellow takes all 6s, and A4	Red takes B4 (forced)	green chooses one of remaining 12s, blue takes other 2	3
13						yellow takes any 2 6s	either: yellow can't finish	or: yellow takes a6&c1, red takes b4, and neither green nor blue can take both 6s	0
14	blue total	12				green takes 2 6s	blue takes other 2 6s (forced)	eventually, red and yellow choose between 2 12s	2
15						blue takes 2 6s, red takes other 2		eventually, only one choice remains	1
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