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Alphabet Xoup: J

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Alphabet Xoup: J

Postby m_b_metcalf » Mon Feb 27, 2023 4:14 pm

Code: Select all
 . . . . . 1 2 . .
 . . . . . 3 4 . .
 . . . . . 4 5 . .
 . . . . . 6 7 . .
 . . . . . 8 3 . .
 . . 6 . . 2 9 . .
 . . 7 . . 9 1 . .
 . . . 3 . 5 8 . .
 . . . . 4 . . . .   moderate

 . . . . . 1 2 . .
 . . . . . 3 4 . .
 . . . . . 5 6 . .
 . . . . . 4 5 . .
 . . . . . 7 1 . .
 . . 3 . . 2 8 . .
 . . 5 . . 8 3 . .
 . . . 1 . 9 7 . .
 . . . . 4 . . . .   hard
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m_b_metcalf
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Re: Alphabet Xoup: J

Postby Hajime » Mon Feb 27, 2023 5:17 pm

The moderate was not so hoard
Only 1 XY-wing needed next to generalized intersections
Hidden Text: Show
Code: Select all
[1,1] r5c5=9 Naked Single
[1,2] r9c6=7 Naked Single
[1,3] r9c7=6 Naked Single
[2,3] Pointing, Claiming  | (6)\,b1 => (-6)r1c2 (-6)r2c1 (-6)r3c1 (-6)r3c2 | (8)\,b1 => (-8)r1c2 (-8)r1c3 (-8)r2c1 (-8)r2c3 (-8)r3c1 (-8)r3c2 | (2)/,b7 => (-2)r7c1 (-2)r7c2 (-2)r8c1 (-2)r8c3 (-2)r9c2 (-2)r9c3
[3,3] Generalized Intersection  | (3)/,r1,c1,\ => (-3)r1c1 | (3)\,r3,c9 => (-3)r3c9 | (4)/,r6,c2 => (-4)r6c2 | (3)\,r9,c3 => (-3)r9c3 | (3)/,r9,c9,\ => (-3)r9c9 | (3)\,c1,b1 => (-3)r3c1 | (3)\,c2,b1 => (-3)r1c2 (-3)r3c2 | (3)b1,c3 => (-3)r4c3 | (3)\,c3,b1 => (-3)r1c3
[4,4] r9c9=5 Naked Single
[5,5] r4c4=4 Naked Single
[5,6] r6c4=1 Naked Single
[5,7] r8c8=7 Naked Single
[6,8] r2c8=8 Naked Single
[7,9] r1c9=3 Naked Single
[7,10] r2c2=6 Naked Single
[7,11] r9c1=2 Naked Single
[7,12] r9c4=8 Naked Single
[8,13] r1c1=8 Naked Single
[8,14] r3c3=3 Naked Single
[8,15] r8c2=4 Naked Single
[9,16] r1c3=4 Hidden Single in row 1
[9,17] r3c5=8 Hidden Single in row 3
[9,18] r7c2=8 Hidden Single in row 7
[9,19] r4c3=8 Hidden Single in col 3
[9,20] r8c5=1 Hidden Single in col 5
[9,21] r6c9=8 Hidden Single in col 9
[9,22] r7c1=5 Hidden Single in box 7
[9,23] r8c1=6 Hidden Single in box 7
[10,24] r8c3=9 Naked Single
[10,25] r8c9=2 Naked Single
[10,26] r9c3=1 Naked Single
[11,27] r4c9=1 Naked Single
[11,28] r7c9=4 Naked Single
[11,29] r9c2=3 Naked Single
[11,30] r9c8=9 Naked Single
[12,31] r1c8=6 Naked Single
[12,32] r3c8=1 Naked Single
[12,33] r5c9=6 Naked Single
[12,34] r7c8=3 Naked Single
[13,35] r2c1=1 Hidden Single in row 2
[13,36] r3c4=6 Hidden Single in row 3
[13,37] r5c2=1 Hidden Single in row 5
[13,38] r7c5=6 Hidden Single in row 7
[13,39] r2c5=2 Hidden Single in col 5
[13,40] r3c2=2 Hidden Single in box 1
[13,41] r5c3=2 Hidden Single in box 4
[13,42] r4c8=2 Hidden Single in box 6
[13,43] r7c4=2 Hidden Single in box 8
[14,44] r2c3=5 Naked Single
[15,44] (X)Y-Wing  |
XY-wing  [3]  (4)(4=7)r5c1-(7=5)r6c2-(5=4)r6c8 => (-4)r5c8 (-4)r6c1
[16,45] r5c8=5 Naked Single
[16,46] r6c8=4 Naked Single
[17,47] r5c4=7 Naked Single
[18,48] r2c4=9 Naked Single
[18,49] r2c9=7 Naked Single
[18,50] r3c9=9 Naked Single
[18,51] r5c1=4 Naked Single
[19,52] r1c4=5 Naked Single
[19,53] r1c5=7 Naked Single
[19,54] r3c1=7 Naked Single
[19,55] r6c1=3 Naked Single
[19,56] r6c5=5 Naked Single
[20,57] r1c2=9 Naked Single
[20,58] r4c1=9 Naked Single
[20,59] r4c2=5 Naked Single
[20,60] r4c5=3 Naked Single
[20,61] r6c2=7 Naked Single

The hard one needs a forcing net or some forcing chains.
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Re: Alphabet Xoup: J

Postby Hajime » Mon Feb 27, 2023 5:31 pm

I was also busy trying a "J". Slightly different layout:
Code: Select all
. . 5 1 3 4 2 8 .
. . . . 7 6 . . .
. . . . 5 8 . . .
. . . . 6 9 . . .
. . . . 1 5 . . .
. . . . 2 3 . . .
. 4 . . 8 2 . . .
. 8 . . 9 1 . . .
. . 3 6 4 . . . .

SE says it needs 2 Forcing X-chains.
But it can be solved with a 1 X-chain of length 6 cells, a WXYZ-Wing and a XY-WIng.
Hidden Text: Show
Code: Select all
[1,1] r9c6=7 Naked Single
[2,2] r9c1=2 Hidden Single in sudokuX/
[2,3] r2c8=5 Hidden Single in sudokuX/
[3,4] r3c7=3 Hidden Single in sudokuX/
[3,5] r6c4=4 Hidden Single in sudokuX/
[4,6] r2c1=3 Hidden Single in row 2
[4,7] r2c3=8 Hidden Single in row 2
[5,7] Naked/Hidden Pairs,Triplets,Quads  | NPair (29)r2c24 => (-9)r2c7 (-9)r2c9 | NPair (67)c3r78 => (-67)r3c3 (-7)r4c3 (-67)r5c3 (-67)r6c3 | NPair (14)b3e46 => (-14)r3c8 (-14)r3c9 | NTriple (567)b7e346 => (-567)r7c1 (-5)r9c2 | NPair (67)b7e36 => (-67)r8c1 | 1 (5)r8c1 => (-5)r8c4 (-5)r8c7 (-5)r8c9 | NPair (35)r8c14 => (-3)r8c9 | 1 (3)b8e4 => (-3)r7c4 | NPair (19)r9c28 => (-19)r9c7 (-9)r9c9 | NPair (58)b9e79 => (-5)r7c7 (-5)r7c9 | NSext (246789)\123478 => (-8)r9c9 | NQuin (24679)\12378 => (-7)r4c4
[6,8] r4c4=8 Naked Single
[6,9] r5c4=7 Naked Single
[6,10] r7c4=5 Naked Single
[6,11] r8c1=5 Naked Single
[6,12] r8c4=3 Naked Single
[6,13] r9c9=5 Naked Single
[7,14] r9c7=8 Naked Single
[8,14] Pointing, Claiming  | (9)r1,b1 => (-9)r2c2 (-9)r3c1 (-9)r3c2 (-9)r3c3 | (9)r2,c4 => (-9)r3c4 | (1)c3,b4 => (-1)r4c1 (-1)r4c2 (-1)r6c1 (-1)r6c2 | (9)c3,b4 => (-9)r5c1 (-9)r5c2 (-9)r6c1 (-9)r6c2
[9,15] r2c2=2 Naked Single
[9,16] r2c4=9 Naked Single
[9,17] r3c3=4 Naked Single
[9,18] r3c4=2 Naked Single
[10,19] r8c9=2 Hidden Single in row 8
[10,20] r8c7=4 Hidden Single in row 8
[10,21] r2c9=4 Hidden Single in box 3
[11,22] r2c7=1 Naked Single
[12,22] Naked/Hidden Pairs,Triplets,Quads  | NSept (1356789)b6e1346789 => (-137)r4c8 (-369)r5c8 | NSext (124679)c8r345689 => (-1679)r7c8 | 1 (3)b9e2 => (-3)r7c9
[13,23] r7c8=3 Naked Single
[14,23] Generalized Intersection  | (9)c1,r7,\ => (-9)r7c7 | (9)\,r7,c1 => (-9)r7c1 | (9)b7,c2 => (-9)r1c2 | (9)r7,b9 => (-9)r9c8 | (9)r7,c9 => (-9)r3c9 (-9)r5c9 (-9)r6c9 | (6)/,r7,c9 => (-6)r7c9 | (7)/,r7,c9 => (-7)r7c9 | (6)b9,\ => (-6)r1c1 | (7)b9,\ => (-7)r1c1 | (9)c7,b6 => (-9)r6c8
[15,24] r1c1=9 Naked Single
[15,25] r7c1=1 Naked Single
[15,26] r7c9=9 Naked Single
[15,27] r9c2=9 Naked Single
[15,28] r9c8=1 Naked Single
[16,29] r3c2=1 Hidden Single in row 3
[16,30] r3c8=9 Hidden Single in row 3
[17,30] Naked/Hidden Pairs,Triplets,Quads  | NSext (245679)b6e124578 => (-7)r4c9 (-6)r5c9 (-67)r6c9
[18,30] X-chain [cells<=10]  |
X-chain [6]  (6)r1c2=r1c9-r7c3=r7c7-r8c8=r6c8 => (-6)r6c2
[19,30] (STUVW)XYZ-Wing  |
WXYZ Wing Type A on {5679} (57)b6r6 => (-7)r6c1
[20,30] (X)Y-Wing  |
XY-wing  [3]  (8)(8=3)r5c9-(3=6)r5c2-(6=8)r6c1 => (-8)r5c1 (-8)r6c9
[21,31] r6c9=1 Naked Single
[22,32] r4c9=3 Naked Single
[22,33] r5c9=8 Naked Single
[22,34] r6c3=9 Naked Single
[23,35] r5c3=2 Naked Single
[23,36] r5c8=4 Naked Single
[24,37] r4c3=1 Naked Single
[24,38] r4c8=2 Naked Single
[24,39] r5c1=6 Naked Single
[24,40] r5c2=3 Naked Single
[24,41] r5c7=9 Naked Single
[24,42] r6c1=8 Naked Single
[25,43] r3c1=7 Naked Single
[25,44] r3c9=6 Naked Single
[25,45] r4c1=4 Naked Single
[26,46] r1c2=6 Naked Single
[26,47] r1c9=7 Naked Single
[26,48] r7c3=6 Naked Single
[26,49] r7c7=7 Naked Single
[26,50] r8c3=7 Naked Single
[26,51] r8c8=6 Naked Single
[27,52] r4c7=5 Naked Single
[27,53] r6c7=6 Naked Single
[27,54] r6c8=7 Naked Single
[28,55] r4c2=7 Naked Single
[28,56] r6c2=5 Naked Single
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Re: Alphabet Xoup: J

Postby m_b_metcalf » Mon Feb 27, 2023 7:36 pm

Hajime wrote:I was also busy trying a "J". Slightly different layout:

I try to keep the letters as close to a minimal form as technically possible. This does reduce the spectrum of ratings. For your pattern I got the following, straight off.

Mike
Hidden Text: Show
Code: Select all
..123456.....67.......18.......79.......21.......53....2..85....8..92.....374....   ED=2.0/1.0/1.0   
..123456.....78.......16.......89.......21.......53....4..67....7..95.....384....   ED=2.3/1.0/1.0   
..123456.....78.......19.......86.......27.......53....4..95....9..62.....784....   ED=2.5/1.0/1.0   
..123456.....57.......86.......79.......28.......13....4..61....6..92.....384....   ED=2.9/1.0/1.0   
..123456.....78.......16.......89.......27.......53....4..65....6..92.....734....   ED=3.0/1.0/1.0   
..123456.....78.......16.......89.......21.......53....1..65....7..92.....984....   ED=4.0/1.0/1.0   
..123456.....78.......16.......82.......97.......53....7..65....6..29.....384....   ED=4.1/1.0/1.0   
..123456.....17.......89.......76.......21.......53....4..95....9..62.....374....   ED=4.3/1.0/1.0   
..123456.....67.......81.......79.......26.......53....4..15....1..92.....374....   ED=4.4/1.0/1.0   
..123456.....78.......61.......89.......26.......53....4..15....6..92.....384....   ED=5.4/1.0/1.0   
..123456.....78.......16.......89.......21.......53....4..65....6..92.....384....   ED=5.5/1.0/1.0   
..123456.....75.......86.......59.......27.......13....4..61....6..92.....354....   ED=5.6/1.0/1.0 
..123456.....75.......18.......59.......61.......23....7..82....1..97.....254....   ED=5.7/1.0/1.0 
..123456.....57.......18.......79.......21.......63....4..85....8..92.....374....   ED=6.3/1.0/1.0   
..123456.....78.......16.......89.......21.......53....2..65....7..92.....314....   ED=6.4/1.0/1.0   
..123456.....65.......17.......58.......21.......93....6..79....1..86.....354....   ED=6.6/1.0/1.0   
..123456.....17.......89.......76.......28.......53....4..95....9..62.....874....   ED=7.1/1.0/1.0   
..123456.....78.......19.......86.......21.......53....4..95....9..67.....384....   ED=7.2/1.0/1.0   
..123456.....78.......16.......89.......21.......53....4..65....6..47.....389....   ED=7.3/1.0/1.0   
..123456.....67.......89.......75.......26.......13....4..91....9..52.....374....   ED=7.6/1.0/1.0   
..123456.....67.......89.......71.......28.......53....4..95....9..12.....874....   ED=7.7/1.0/1.0   
..123456.....78.......96.......81.......29.......53....7..65....9..12.....384....   ED=8.3/1.0/1.0   
..123456.....67.......18.......79.......21.......53....2..85....6..92.....374....   ED=8.4/1.0/1.0   
..123456.....67.......18.......75.......21.......93....4..89....8..56.....374....   ED=8.5/1.0/1.0   
..123456.....67.......18.......75.......91.......23....6..82....8..56.....274....   ED=8.8/1.0/1.0   
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Re: Alphabet Xoup: J

Postby Leren » Mon Feb 27, 2023 7:46 pm

Same as Hajime for Mike's puzzles. For Hajime's puzzle I used 2 H Wings at the end.

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