From: Colin Paul Adams COLINA DEMON CO UK> Date: 13 feb 2000 Subject: CHU: more on A15 In fact, even after 1. +R - 2a, K x 2a 2. Ph - 4c=, K - 2b 3. Ph - 2a, K x 2a the published solution fails to mention the longest (though one might query this as being better, as it merely inserts an extra (pointless) move into the sequence) defence. My program (with the promotion bug now fixed), finds: 4. Ln x 5c x 4b, R x 4b 5. DK x 2c+, K - 3a 6. FK - 7a, +FL - 5a 7. FK x 5a, R - 4a 6. FK x 4a Mate The defence of K - 3a puts up much longer resistance. After: 1. +R - 2a, K x 2a 2. Ph - 4c=, K - 3a 3. FK - 7a, R - 6a my program finds: 4. Ln x 5c x 4b, R x 4b 5. Ph x 6a+, +FL - 5a 6. +Ph x 5a, R - 4a 7. +Ph x 4a, K - 2b 8. +Ph - 2a, K - 1c 9. FK - 7i, K - 1d 10. FK - 6i, K - 1c 11. FK - 6h, K - 1d 12. FK - 5h, K - 1c 13. FK - 5g, GB - 4f 14. FK x 4f, P - 3e 15. FK x 3e, C - 2d 16. DK x 2d+ Mate in 31, which is the same length as Mr. Hanazawa's suggestion, and is much the same, except for a slightly different finish (note that there is a typo in Mr. Hanazawa's suggestion - as MSM says Ln x 4c x 4b - it should be Ln x 5c x 4b, as above). -- Colin Paul Adams Preston Lancashire