Strategies for Number Puzzles of all kinds
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Sunday 23-Aug-2015

... by: ray

#1. Use basic strategies to get working and apply bi-location tool.
#2. Choose F7{239} - bi-location and tri-location cell for 2.Need to form, progressively,the 3-element bi-location set F7E5A2.Forcing the various
1-cell to 3-cell values,gives contradictions and run-outs;only use basic strategies and only force the 1-cell to 3-cell run-out values until F7E5A2 =
(3,9,6),which gives the solution. Different cell choices give the 4-element
bi-location set solution: F8D4C9A2 = (2,5,3,6),amongst others.
#.3 Using this solution,with basic strategies,the following non bi-location
3-cell solutions were found: AB1C9 = (8,1,3), A2FJ1 = (6,9,5), CG3H2 = (7,9,1); also,a 2-cell was found: h25 = (1,8) but no 1-cell solution.

Saturday 22-Aug-2015

... by: JC Van Hay

1. E3=2
2. Double Exocet : Base Cells (abcd)G89, Target Cells H5.J1 and Base Cells (abcd)J46, Target Cells G1.H7, (abcd)Columns157 where {a,b,c,d}={3,5,8,9} :
2a. Structure of the 3rd band :

G| cd 2 cd | 1 6 4 | 7 ab ab |
H| 7 16 16 | 2ab ab 2ab | cd cd 4 |
J| ab 4ab 4ab | cd 7 cd | 1 6 2 |

2b. The Multifish (3589)Columns157 excludes (58)A248, (38)B3469, (59)E689, (39)F248.

3. Updating :
3a. CDG9=359; XWing(3F71,3G189)-3H7; Swordfish(5G91,5A15,5E57)-5D9.H7; 2 Singles : E7=5=G9
3b. Claiming(5H456)-5J46; Pointing(3GH8)-3CD8; NP(49)EF5-(49)DF4.ABH5; NP(67)F24-(67)F18; D46=58
3c. Swordfish(6BCE6,6EBA1,6AB9)-6AB4; Swordfish(9D389,9FH7,9HJ4)-9J3
3d. XYZWing(389)F1.G13-9J1; J4=9; Claiming(9H78)-9G8

5. 3HJ6=NT(258)DHJ6-2B6=*[3B5=(3-2)B7=(2-4)B4=4B3-(4=8)J3-(8=3)J6] :=> H5.C6≠3; 13 Singles
6. 5A5=5A1-5C2=(5-4)J2=4A2-4A4=*[(8=2)A7-(2=*7)A4-XWing(7F24,7C246)=(7-8)C3=8C46] :=> A5≠8; 15 Singles
7. Skyscraper(7FA2,7AD8)-(7=1)D3; Singles to the end.


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