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Submitted by: Gath

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No Comment? How about, 'Nice catch!'
30/Jun/12 12:35 AM
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1. Note g12=49.Unique possibilities to 42.
2. b12=1,to avoid the unrsolvable 49 rectangle at bg12.UP49.
3. Whether b6=3;OR e6=3=d9;a7=3.UP53.
4. Whether b6=9=a5;OR e6=9=c8;c1=8.UP81.
30/Jun/12 12:53 AM
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Should read:
4. Whether b6=9=a2; ...
30/Jun/12 12:56 AM
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30/Jun/12 3:24 AM
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A proof:

1) Basic techniques to UP42
2A) (9)c89=(9-8)c1=(8)a2-(8)a4=(349)a457-(9)d5=d9 => b9<>9
2B) (8)a4=(349)a456-(49=236)b456-(236=1)b9-b12=(1)a2 => a2<>8, UP50.
3) A coloring of 3s: b9=b4-a5=d5 => d9<>3, UP81.

Most likely steps 2A+B can be More...
30/Jun/12 7:15 AM
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Hi Jyrki. The simplest way I would represent steps 2A+B :

Chain[9] : (8=349)a457-9d5=9d9-(49=1236)b4569-1b12=1a2 :=> -8a2

without extra symbols to represent 'memory'.

On the other hand, a complete understanding of the chain can only be obtained by writing down the More...
30/Jun/12 6:59 PM
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Complement to the note : ... and deleting the empty spaces.
30/Jun/12 7:03 PM
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30/Jun/12 11:56 PM
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