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 SE=6.6 30/Dec/10 12:06 AM |  |
 The word classic comes to mind. Beautiful! 30/Dec/10 12:07 AM |  |
 Hi Sotir, I note that you posted the Sudoku Explainer rating of 6.6 a few minutes ago. Sudoku Explainer only uses IF-THEN forcing Chains for the more complex chains, but uses all of the fairly trivial exclusions (such as locked sets, hidden and naked pairs, triples, etc). More... 30/Dec/10 12:17 AM |  |
 June - absolutely beautiful! What a perfect flower...and so sweetly doused in morning dew! 30/Dec/10 12:34 AM |  |
 1. Note pairs 29 at ab4/dh6;46 at b79.Unique possibilities to 29.2. If i1=1=e2;row 6 is devoid of 1.So i6=1.UP37.3. h5=4,to avoid the 29 unresolvable rectangle at dh56.UP38.4. f9=78,to avoid a 45 deadly pattern at d29/e24/f49.5. e9=3,to avoid the 178 UR at ef159.UP81. 30/Dec/10 1:52 AM |  |
 UP=281 Skyscraper (f15-i16) => e6,h5<>1 UP=3825 S-Wing (Grouped) (af7-f8-adf9)=> f8<>5 UP=81 30/Dec/10 2:13 AM |  |
 15:47 30/Dec/10 2:19 AM |  |
 Hi Neil,Interesting observation. I think you can also add S-Wing and ALS-XZ to that list. In this puzzle both the skyscraper and the S-Wing can be written as AIC's. 30/Dec/10 2:20 AM |  |
 Absolutely lovely, June. 30/Dec/10 3:14 AM |  |
 Oh! Very pretty! Have a great day everyone! 30/Dec/10 3:36 AM |  |
 Neil, the mathematics of AICs is more complex than forcing chains. Yes, any forcing chain can be written as an AIC, but the converse is not true. In particular, statements using loops and parity are not translatable. They do not appear in SE either. 30/Dec/10 4:08 AM |  |
 And yes I know that SE incorporates loops, but it does not fully exploit them. 30/Dec/10 4:35 AM |  |
 1. SST to UP=31.2. Turbot (1)f5=f1-i1=i6 => e6<>1UP=38.3. (5)h8=(5-2)f8=(25)af7 => i7<>5UP=81. 30/Dec/10 5:02 AM |  |
 I think an apt analogy is the difference between classical mechanics and quantum mechanics. Classical mechanics can be obtained from the limit of quantum mechanics by letting either 1/temperature or Planck's constant approach zero. Even Newton's laws can be obtained from quantum mechanics. But the More... 30/Dec/10 5:13 AM |  |
 the point Neil and Alfred so conveniently avoid is that the AIC solutions operate under a set of constraints - as do other disciplines (eg. musical composition or any other art). These constraints make a Soduko puzzle interesting and difficult to solve (requiring real skill). Without the More... 30/Dec/10 5:16 AM |  |
 - I admit that dressing up a forcing chain solution (and by these I include Alfreds brand where SST are employed as one proceeds), to make it appear less deep, using frequent 'by inspection' leaps to cover the gaps, does take a minimal amount of skill. 30/Dec/10 5:34 AM |  |
 -other skilled approaches (operating under constraints) include Bud's pattern matching method. The range of puzzle difficulty that can be solved is more limited using this approach unless merged with AIC techniques, but the skill required is on a par with the AIC method. 30/Dec/10 5:53 AM |  |
 -you may have noticed how frequently Alfred invokes uniqueness to obtain a forcing chain error. It so happens that the UR pattern is the easiest pattern to spot, after void unit, when solving an incorrect guess. 30/Dec/10 6:08 AM |  |
 -disclaimer: a puzzle like todays - SE under 7.0, is too easy for any of the above to really make sense. 30/Dec/10 6:17 AM |  |
 I thought my solution seemed complicated for a 6.6 !I think we can get carried away,comparing sudoku solving methods,to art, music,or science.We are only trying to rate which methods are more "logical". Showing that 2 possibilities (or 3 in the case of kraken), each lead to the same More... 30/Dec/10 7:30 AM |  |
 June, is that one of the camellias in your garden? 30/Dec/10 8:26 AM |  |
 I do find AURs hard to resist.Once they pop up, I look no further. I also need to NOT constrain myself to one solving method. 30/Dec/10 8:39 AM |  |
 15:20, but with UP=31, not 28 or 29. No skill involved. 30/Dec/10 8:47 AM |  |
 Amazing camellia! Thanks, June. 30/Dec/10 9:43 AM |  |
 'pop up' is the key telling phrase here. No need to exert ones wits deducing why a potential aur configuration might lead to eliminations - simply observe them when they 'pop up' while you are solving your incorrect guess (the one whose bivalue leads to the most UPs or a solved grid). 30/Dec/10 12:12 PM |  |
 why even bother to examine the bi-value guess looking for a contradiction (and laboriously edit the depth of the FC+SST) when the dice throw yields a solved grid (50% of the throws)? others at this site are content to display their remarkably rapid solution times and chat about the picture. 30/Dec/10 12:26 PM |  |
 Showing that 2 possibilities arrive at the same result is exactly as rigorous as AIC, as far as logic goes. You cannot claim one is more artistic,scientific,musical,constraining, or whatever.You have used kraken logic yourself, where 3 possibilities are involved.The "if" method is More... 30/Dec/10 3:06 PM |  |
 OK, The AIC method operates under constraints. As Mr Spock would say, "That is not logical." 30/Dec/10 7:51 PM |  |

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