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Submitted by: Gath

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 Beautiful viewpoint, Sue! Thanks!(It's a place on my list to see!) 11/Jan/13 12:13 AM |  |
 What a wonderful shot, Sue! Love all the angles. 11/Jan/13 12:28 AM |  |
 #1. Locked Subsets and Locked candidates; UP32 Strongest digits : 3,8 #2. a8=8->UP46+'d8=7 to avoid UR(29)de58'->contradiction :=> a8=3; UP51 Solving column c : #3. XYZ Wing : (4=6)a1-(6=49)ad2 :=> -4c2; UP81 11/Jan/13 1:40 AM |  |
 26 (59)i56=>i6<>6731 a2=9=>[(d3=9=>d1=3)&(i2=6=>[g1=7&i1=8])]=>b1={}=>a2<>936 (46)a12=>a12<>7=>(7)b12=>b7<>738 a2=4=>{(a1=6=>g1=7)&(i2=6=>[i1=8&(c2=2=>c3=3)]}=>b1={}=>a2<>440 More... 11/Jan/13 8:15 AM |  |
 1. Note ahi8=138,a48=38,etc.Unique possibilities to 33.2. Whether g1=6;OR g1=7,hi3=24,c3=3,b1=8,i1=6;gi1=6.UP40.3. Whether g1=6;OR g1=7=d3,d8=9,e8=2,g8=6;g4=2.UP42.4. Whether chi3=247;OR c3=3=a8,i8=1,i4=6;g1=6.UP44.5. Whether c9=3=d3;OR c9=8,i2=24(to avoid the 78 UR at bi12);i3=7.UP46.6. Whether c3=2=i2,c9=3,i9=4;OR c3=3=a8,h8=8,h4=1,h7=6;h9=4;e9=9.UP81. 11/Jan/13 11:04 AM |  |
 0.Standard techniques UP 321. (3)i9=c9-(3=8)a8-a4=(8-4)e4=(4)e9 =>i9<>42. (24=7)hi3-(7=46)ag1 =>a3, c3, i1 <>43. (4=6)a1-(6=479)adf2 =>c2<>4 UP 374. (2)i2=c2-(2=3)c3-c9=(3)i9 =>i9<>25. (3)i9=c9-c3=(3-7)d3=(7)i3 =>i9<>7 UP 81 11/Jan/13 11:12 AM |  |
 Hi Alfred. I think it should be UP 30 only. I question ahi8=138 and therefore a48=38. 11/Jan/13 12:25 PM |  |
 Hi Les, def8<>138, and also g8<>138, so what is left in row 8, ahi8=138.Best Regards, Alfred. 11/Jan/13 2:51 PM |  |
 Hi Alfred. Please note h6=3(given)=>h8<>3=>ahi8<>138.Or is something wrong with my logic. 11/Jan/13 4:35 PM |  |
 Hi Alfred. I understood ahi8=138 meant that a8 or h8 or i8 could equal 1,3or8. Is this not the case? Happy New Year Les 11/Jan/13 5:06 PM |  |
 Hi again Les, it is true that h8<>3,(h8=18), but considered as a group, only 1,3, and 8 can occupy the 3 cells, ahi8, and this helps you to reach UP33.Best Regards, Alfred. 11/Jan/13 5:37 PM |  |
 Great angles and lines Sue! 11/Jan/13 5:59 PM |  |
 Thanks Alfred. I agree now with UP 33. 11/Jan/13 7:15 PM |  |
 Equivalent to Cenoman's ... #1. Locked Subsets and Locked candidates; UP32#2. Chain[4] : (4=6)a1-(6=7)h1-(7=24)hi3 :=> -4ac3.i1#3. Chain[8] : Kraken Cell i9=2347 -> 3c3=3i9=8c9 :=> a8=3; UP81 2i9-2i2=2bc2-(2=3)c3||3i9||4i9-4e9=(4-8)e4=8a4-8a8=8c9||7i9-(7=24)hi3-(2=3)c3 11/Jan/13 8:31 PM |  |

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