+Here are some random notes I'm keeping on a new approach for solving
+backwards.
+
+ === === === ===
+|R..|... ... ...|
+ === ===
+|y.. ... ... ...|
+ === ===
+|... .RS|...|g..|
+
+|... ... ...|b..|
+ ===
+|... ... ... ...|
+ === === === ===
+
+ === === === ===
+|A..|.B. .b. .B.|
+ === ===
+|aB. .b. .b. .B.|
+ === ===
+|a.C ..C|...|...|
+
+|a.. ... ...|...|
+ ===
+|A.C a.C a.. A.C|
+ === === === ===
+
+ === === === ===
+|R0.|... ... ...|
+ === ===
+|r1. ... ... ...|
+ === ===
+|r1. ...|...|...|
+
+|r1. ... ...|...|
+ ===
+|R1. r2. r2. R2.|
+ === === === ===
+
+ === === === ===
+|...|... ... ...|
+ === ===
+|F.. ... 4F. ...|
+ === ===
+|1.. 0..|4F.|...|
+
+|2F. 1.. 4F.|...|
+ ===
+|2F. 1.. 3F. 3F.|
+ === === === ===
+
+ === === === ===
+|...|... ... ...|
+ === ===
+|... ... ... ...|
+ === ===
+|1.. 0..|...|...|
+
+|... 1.. ...|...|
+ ===
+|... 1.. ... ...|
+ === === === ===
+
+ === === === ===
+|...|... ... ...|
+ === ===
+|... ... 3A. ...|
+ === ===
+|1.. 0..|3A.|...|
+
+|... 1.. 3A.|...|
+ ===
+|A.. 1.. 2A.2A..|
+ === === === ===
+
+ === === === ===
+|3B.|6B. 6B. 5B.|
+ === ===
+|3B. 4B. 4B. 4B.|
+ === ===
+|1.. 0..|5B.|...|
+
+|3B. 1.. 5B.|...|
+ ===
+|2B. 1.. B?? 6B?|
+ === === === ===
+
+ === === === ===
+|...|... ... ...|
+ === ===
+|... ... ... ...|
+ === ===
+|1.. 0..|...|...|
+
+|C.. 1.. 2C....|
+ ===
+|... 1.. ... ...|
+ === === === ===
+
+ === === === ===
+|...|... ... ...|
+ === ===
+|... ... ... ...|
+ === ===
+|1.. 0..|...|...|
+
+|2D. 1.. D..|...|
+ ===
+|... 1.. ... ...|
+ === === === ===
+
+ === === === ===
+|2E.|5E. 5E. 4E.|
+ === ===
+|2E. 3E. 3E. 3E.|
+ === ===
+|1.. 0..|4E.|...|
+
+|E.. 1.. 4E.|...|
+ ===
+|5E. 1.. 4E. 5E.|
+ === === === ===
+
+ === === === ===
+|...|... ... ...|
+ === ===
+|F.. ... 4F. ...|
+ === ===
+|1.. 0..|4F.|...|
+
+|2F. 1.. 4F.|...|
+ ===
+|2F. 1.. 3F. 3F.|
+ === === === ===
+
+
+ === === === === === === === === === === === === === === === ===
+|2+* 2+* 2+* 2+* 1+*|7.* 5.* 5.* 5.* 8.* 8.* 7.*|6.* 6.* 4.* 5.*|
+ ===
+|3.* 3.* 3.* 3.* 1.. 4.* 4.*|5.* 5.* 6.* 6.* 6.* 6.*|6.* 4.* 5.*|
+ === ===
+|3.*|9.* 3.* 3.* 1.. 7.* 4.* 5.* 5.* 9.*|6.* 6.* 6.* 6.* 4.* 5.*|
+ ===
+|3.* 4.* 3.* 3.* 1.. 4.* 4.* 4.* 4.* 4.* 4.* 4.* 4.* 4.* 4.* 4.*|
+ ===
+|3.* 3.* 3.* 3.* 1.. 3.* 3.* 3.* 3.* 3.* 3.* 3.* 3.* 3.* 3.* 2.*|
+ ===
+|3.* 3.* 3.* 3.* 1.. 3.* 2.*|5.* 5.* 5.* 6.* 6.* 6.* 6.*|3.* 2.*|
+ === === ===
+|4.* 4.* 3.*|3.* 1.. 4.* 2.* 4.* 4.* 4.* 4.* 4.*|3.* 3.* 3.* 2.*|
+ === === ===
+|3.* 3.* 3.* 3.* 1.. 3.* 2.*|... ...|3.* 3.* 3.* 3.* 3.* 3.* 2.*|
+
+|3.* 3.* 3.* 3.* 1.. 3.* 2.*|... ...|5.* 5.* 5.* 5.* 5.* 4.*|2.*|
+ === === ===
+|5.* 5.* 3.* 4.*|0+. 1.. 1+. 1+* 1.* 1.* 1.* 1.* 1.* 1.* 1.* 1.*|
+ === === === ===
+|5.* 6.* 3.* 4.* 6.* 6.*|7.* 2.* 7.*|5.* 6.* 5.* 6.*|7.* 2.* 8.*|
+ === ===
+|9.* 9.* 3.* 4.* 7.* 7.* 7.* 2.* 7.* 5.* 9.* 5.* 7.* 9.* 2.* 9.*|
+ ===
+|8.* 8.* 3.* 4.* 7.* 7.* 7.* 7.*|7.* 5.* 8.* 5.* 7.* 8.* 2.* 8.*|
+ === ===
+|9.* 9.*|3.* 4.* 4.* 4.* 4.* 7.* 4.* 4.*|7.* 5.* 7.* 8.* 2.* 8.*|
+
+|5.* 5.* 3.* 4.*|7.* 7.* 7.* 7.* 7.* 5.* 7.* 5.* 7.* 8.* 2.* 8.*|
+ ===
+|8.* 8.* 3.* 8.* 7.*|6.* 6.* 6.* 6.* 5.* 6.* 5.*|7.* 8.* 2.* 8.*|
+ === === === === === === === === === === === === === === === ===
+|... ... ... ... ...|... ... ... ... ... ... ...|... ... ... ...|
+ ===
+|... ... ... ... ... r.. .yo|... ... ... ... ... ...|.rs ... ...|
+ === ===
+|...|.gt ... ... ... ... ... ... g.. .bt|... ... ... ... ... ...|
+ ===
+|... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...|
+ ===
+|... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...|
+ ===
+|... ... ... ... ... ... .bs|... ... ... ... ... ... ...|.go ...|
+ === === ===
+|... ... ...|.rc ... ... ... ... ... ... ... .yc|... ... ... ...|
+ === === ===
+|... ... ... ... ... ... ...|... ...|... ... ... ... ... ... ...|
+
+|... ... ... ... ... ... ...|... ...|... ... ... ... ... Yys|...|
+ === === ===
+|... ... ... ...|.YT ... ... ... ... ... ... ... ... ... ... ...|
+ === === === ===
+|... ... ... ... ... ...|.bc ... .rt|... ... ... ...|.gc ... ...|
+ === ===
+|... b.. ... ... ... ... ... ... ... ... ... ... ... ... ... ...|
+ ===
+|... ... ... ... ... ... ... .ww|... ... ... ... ... ... ... ...|
+ === ===
+|... .ro|... ... ... ... ... ... ... ...|.bo ... ... ... ... ...|
+
+|... ... ... .gs|... ... ... ... ... ... ... ... ... ... ... ...|
+ ===
+|... ... ... ... ...|... ... ... ... ... ... ...|... ... ... ...|
+ === === === === === === === === === === === === === === === ===