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Advanced Tie Interceptor
*-----------*
|..1|...|2..|
|.3.|...|.4.|
|5..|.3.|..6|
|---+---+---|
|...|1.7|...|
|.4.|...|.8.|
|...|9.2|...|
|---+---+---|
|3..|...|..8|
|.6.|.5.|.3.|
|..2|...|7..|
*-----------*
from star wars.
Advanced Tie Interceptor
*-----------*
|..1|...|2..|
|.3.|...|.4.|
|5..|.3.|..6|
|---+---+---|
|...|1.7|...|
|.4.|...|.8.|
|...|9.2|...|
|---+---+---|
|3..|...|..8|
|.6.|.5.|.3.|
|..2|...|7..|
*-----------*
Ocean wrote:Here is a puzzle that seems to have singles backdoor size 3 (M3). Maybe the 'easiest' such puzzle so far?
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*-----------*
|..1|...|2..|
|.3.|...|.4.|
|5..|.3.|..6|
|---+---+---|
|...|1.7|...|
|.4.|...|.8.|
|...|9.2|...|
|---+---+---|
|3..|...|..8|
|.6.|.5.|.3.|
|..2|...|7..|
*-----------*
ravel wrote:Amazing puzzle, Ocean. I never thought, that backdoor size is a good criterion for hardness, but i did not expect such an "easy" M3 puzzle (far away of all hardest lists).
3.....2.....54.......6.....1.2..3..........648.........9.7...5.......1.8.5..6....
...5....13.8......4....3......61....9.....8......5.....6.7...2..1....3........49. # 795 FNP C18.m/M3.991.536
....2.58..4.3......1..........6...715.....2.....4.....2...59.........3.67........ # 922 FNP C18.m/M3.1432.371
.8..9....3......6....3...4.....1...5..2...9....7...8..65....1.....2.7........4... # 943 FNP C18.m/M3.1132.469
Thanks for the detailed analysis.gsf wrote:this is a neat puzzle. simple singles propositions solve it (no nesting required). only degree 2 and 3 candidates are needed. there's so few propositions that its q1 rating is 1732
I was also surprised. Was experimenting with (or fooled by) the hypothesis "an M3 puzzle is probably extremely hard", which would give a relatively efficient screening tool. Anyway, it was fun to find one of them.ravel wrote:Amazing puzzle, Ocean. I never thought, that backdoor size is a good criterion for hardness, but i did not expect such an "easy" M3 puzzle (far away of all hardest lists).
gsf wrote:here's one from gordon's 22M 18 catalog
just a bit easier (6 proposition steps instead of 9) q1 rating 1278, singles backdoor size 3
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3.....2.....54.......6.....1.2..3..........648.........9.7...5.......1.8.5..6....
...
found three M3 with q1 rating < 1000
...
Ocean wrote:Since these puzzles were readily available, it might seem funny that the famous conjecture was not refuted earlier. But at least it shows that a collection of this size is handy when searcing for extreme cases.
coloin wrote:Thanks AW
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SER,puzzle,tag
114,6.......2.9.4...5...1...7...5..84.......2.......3.5.4.2.....6...3...9.8...7.....1,coloin-04/13-1600
114,1.......2.9.4...5...6...7...5.3.4.......6........58.4...2...6...3...9.8.7.......1,coloin-04/13-1414
113,1.......2.9.4...5...6...7...5.3.4......96.........8.4...2...6...3...9.8.7.......1,coloin-04/13-1426
114,200000006050080010004000900070301000000820000000705030009000400080010050600000002,ultra0203
These grids had a high ER [and took gsf >7 hours to get the ER !] what do you make of them ?
C
..*....*. ..*....*. ..*....*.
*....*... *....*... *....*...
...*....* ...*....* ...*....*
.*....*.. .*.*.**.. .*.****..
....*.... ....*.... ...***...
..*....*. ..**.*.*. ..****.*.
*....*... *....*... *....*...
...*....* ...*....* ...*....*
.*....*.. .*....*.. .*....*..
. . 1 | . . . | . 2 .
3 . . | . . 4 | . . .
. . . | 5 . . | . . 6
-------+-------+-------
. 5 . | 2 . 7 | 4 . .
. . . | . . . | . . .
. . 7 | 8 . 3 | . 1 .
-------+-------+-------
5 . . | . . 1 | . . .
. . . | 9 . . | . . 2
. 6 . | . . . | 5 . .
+---+---+---+
|1..|.5.|...|
|...|1..|.3.|
|..7|...|6..|
+---+---+---+
|.5.|..8|...|
|9..|.2.|..1|
|...|3..|.6.|
+---+---+---+
|..6|...|8..|
|.3.|..7|...|
|...|.9.|..5|
+---+---+---+ SE 1.2
1...5.......1...3...7...6...5.......9.......1.......6...6...8...3...7.......9...5 #58792 sol.
reduced because these clues are infered
1.3.5......91..53.5.7...61..5.......9......51.......6..96...8...35..7196....9...5
+---+---+---+
|1..|.5.|...|
|...|1..|.6.|
|..9|...|3..|
+---+---+---+
|.6.|..3|...|
|4..|.2.|..5|
|...|7..|.2.|
+---+---+---+
|..7|...|8..|
|.3.|..2|...|
|...|.4.|..1|
+---+---+---+ SE 9.0 [with 16 clues NO clues are infered]
+---+---+---+
|1..|.2.|...|
|...|3..|.4.|
|..5|...|6..|
+---+---+---+
|.3.|...|...|
|2..|7.1|..8|
|...|.48|.9.|
+---+---+---+
|..6|...|2..|
|.7.|..9|...|
|...|.8.|..1|
+---+---+---+ SE 9.2
+---+---+---+
|1..|.2.|...|
|...|3..|.4.|
|..5|...|6..|
+---+---+---+
|.3.|258|...|
|2..|.1.|..8|
|...|.6.|.9.|
+---+---+---+
|..6|...|5..|
|.4.|..9|...|
|...|.8.|..1|
+---+---+---+ SE 9.1
+---+---+---+
|1..|.2.|...|
|...|3..|.4.|
|..5|...|6..|
+---+---+---+
|.3.|4.6|...|
|2..|.7.|..8|
|...|.1.|.9.|
+---+---+---+
|..6|...|5..|
|.7.|..9|...|
|...|.8.|..1|
+---+---+---+ SE 9.0
AW wrote:Hey! I thought I observed something interesting about the Easter Monster puzzle. I don't know if it has been pointed out before. As I recall, it's has a singles back-door size 3, right?
Well, it also seems to have a... erm... singles front-door size 2. For lack of a better term. Placing any one of the remaining candidates never leads to a contradiction, using singles only.
Has anyone discussed this previously?
...6........9.3.7..3..78...4.......5..6...1...8...7.3...1.....45.....6...9..2..8.
..2.7....5....3....8.4...6..6.8....9..7.5....3....2......1..546.4....8.1.......9.
....4..7..9....3.....3..9.42....7....4.8....9..1.5.....8.4..6....5..1...7...2....
..1..8...2...9.5...6.4.....9.....3.7.......6.....7..253...2...9..46......8...1...
5.......7.1.4...9...3...8...2.64.........1......9.2.6.8....45...9...6.1...7.....3
tarek wrote:I wasn't sure where to post these puzzles. These are new puzzles that require 3 singles magic cells to break.
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...6........9.3.7..3..78...4.......5..6...1...8...7.3...1.....45.....6...9..2..8.
..2.7....5....3....8.4...6..6.8....9..7.5....3....2......1..546.4....8.1.......9.
....4..7..9....3.....3..9.42....7....4.8....9..1.5.....8.4..6....5..1...7...2....
..1..8...2...9.5...6.4.....9.....3.7.......6.....7..253...2...9..46......8...1...
5.......7.1.4...9...3...8...2.64.........1......9.2.6.8....45...9...6.1...7.....3
tarek