too hard this variant?

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too hard this variant?

Postby urhegyi » Mon Feb 26, 2024 9:59 am

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Re: too hard this variant?

Postby Hajime » Mon Feb 26, 2024 12:13 pm

R1=123456789
C9=912345678
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Re: too hard this variant?

Postby HATMAN » Mon Feb 26, 2024 7:08 pm

Quite fun - I like the 1-9 skyscaper variant. Does it solve with just these?
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Re: too hard this variant?

Postby Hajime » Tue Feb 27, 2024 3:13 pm

HATMAN wrote:Quite fun - I like the 1-9 skyscaper variant. Does it solve with just these?

Because it says "NOT all white dots are given", normal Kropki rules do not apply.
This happens for consecutive 2-3 cells which are XV variant V (listed) and also consecutive Kropki (not listed).
I had to modify SiSeSuSo a bit to neglect consecutive Kropki constraints, if not listed.

All is solvable without the killer cages and the outside sum-of-cells between 1 and 9.
Only KR (double or consecutive) and XV (sum up to 10 or 5) constraints are sufficient.
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Re: too hard this variant?

Postby Hajime » Fri Mar 01, 2024 3:09 pm

The solution of this nice puzzle is here:
Solution Image: Show
Image

In the original puzzle with XV (10/5) AND with 2+3=5 constraint "V", there is no "open dot" Kropki consecutive constraint visible.
In the hidden solved image the "V" (sum to 5) and the "O" (open consecutive dot) are both visible.

Possible Solving Path: Show
Code: Select all
[1,0] Kropki (KR), XV (Sum up to 10 or 5) 
Kropki  => (-123789)r1c6 (-123789)r1c4 (-123789)r1c6 (-123789)r1c4 (-123789)r1c6 (-123789)r1c4 (-5)r1c1 (-7)r1c1 (-9)r1c1 (-5)r1c2 (-7)r1c2 (-9)r1c2 (-6)r1c3 (-8)r1c3 (-7)r1c4 (-9)r1c4 (-7)r2c3 (-9)r2c3 (-8)r1c5 (-5)r1c4 (-5)r2c4 (-7)r2c4 (-9)r2c4 (-9)r1c6 (-8)r2c2 (-5)r2c3 (-5)r2c9 (-7)r2c9 (-9)r2c9 (-5)r3c9 (-7)r3c9 (-9)r3c9 (-5)r3c4 (-7)r3c4 (-9)r3c4 (-5)r3c5 (-7)r3c5 (-9)r3c5 (-6)r4c5 (-8)r4c5 (-5)r3c6 (-7)r3c6 (-9)r3c6 (-5)r4c6 (-7)r4c6 (-9)r4c6 (-5)r3c8 (-7)r3c8 (-9)r3c8 (-6)r4c9 (-8)r4c9 (-5)r4c5 (-7)r4c5 (-9)r4c5 (-3)r4c6 (-7)r5c9 (-9)r5c9 (-5)r5c8 (-7)r5c8 (-9)r5c8 (-5)r5c9 (-6)r6c9 (-8)r6c9 (-7)r6c8 (-9)r6c8 (-8)r7c8 (-7)r7c9 (-9)r7c9 (-5)r7c3 (-7)r7c3 (-9)r7c3 (-5)r7c4 (-7)r7c4 (-9)r7c4 (-9)r7c7 (-8)r8c9 (-5)r8c1 (-7)r8c1 (-9)r8c1 (-5)r9c1 (-7)r9c1 (-9)r9c1 (-9)r9c9 |
XV  => (-6)r1c2 (-8)r1c2 (-579)r1c3 (-1)r1c9 (-3)r1c9 (-5)r1c9 (-1)r2c5 (-3)r2c5 (-5)r2c5 (-1)r2c6 (-3)r2c6 (-5)r2c6 (-6)r3c9 (-8)r3c9 (-579)r4c9 (-5)r5c5 (-4)r5c5 (-3)r5c5 (-2)r5c5 (-1)r5c5 (-1)r4c8 (-2)r4c8 (-3)r4c8 (-4)r4c8 (-5)r4c8 (-5)r5c4 (-5)r6c4 (-5)r5c7 (-5)r6c7 (-5)r6c3 (-6)r6c4 (-7)r6c4 (-8)r6c4 (-9)r6c4 (-56789)r6c5 (-5)r6c6 (-4)r6c6 (-3)r6c6 (-2)r6c6 (-1)r6c6 (-5)r7c5 (-4)r7c5 (-3)r7c5 (-2)r7c5 (-1)r7c5 (-6)r6c7 (-7)r6c7 (-8)r6c7 (-9)r6c7 (-5678)r7c7 (-5)r7c1 (-6)r7c1 (-7)r7c1 (-8)r7c1 (-9)r7c1 (-68)r8c1 (-5)r8c5 (-5)r9c5 (-5)r8c7 (-6)r8c7 (-7)r8c7 (-8)r8c7 (-9)r8c7 (-56789)r9c7 (-5)r8c8 (-5)r9c8 (-5)r9c6 (-6)r9c6 (-7)r9c6 (-8)r9c6 (-9)r9c6
[2,1] r1c5=5 Hidden Single in col 5
[3,1] Naked/Hidden Pairs,Triplets,Quads  | NPair (46)r1c46 => (-12378)r1c6 (-1238)r1c4 (-46)r1c1 (-4)r1c2 (-4)r1c3 (-46)r1c7 (-46)r1c8 (-46)r1c9 | NQuad (1234)c7r6789 => (-123)r1c7 (-1234)r2c7 (-1234)r3c7 (-1234)r4c7 (-1234)r5c7
[4,1] Pointing, Claiming  | (5)J5,r5 => (-5)r5c1 (-5)r5c2 | (5)c7,J4 => (-5)r2c8
[5,1] Pointing, Claiming  | (5)J2,r4 => (-5)r4c7
[6,1] Kropki (KR), XV (Sum up to 10 or 5)
Kropki  => (-3)r1c1 (-8)r1c1 (-3)r1c2 (-1)r1c3 (-2)r1c3 (-6)r1c4 (-1)r2c3 (-3)r2c3 (-6)r2c3 (-8)r2c3 (-1)r2c4 (-3)r2c4 (-4)r2c4 (-6)r2c4 (-4)r1c6 (-8)r1c7 (-9)r1c7 (-1)r1c8 (-2)r1c8 (-3)r1c8 (-7)r1c8 (-9)r1c8 (-5)r2c7 (-7)r2c7 (-9)r2c7 (-2)r1c9 (-8)r1c9 (-9)r2c1 (-2)r2c2 (-4)r2c2 (-6)r2c2 (-7)r2c2 (-9)r2c2 (-2)r2c3 (-2)r2c6 (-4)r2c6 (-6)r2c6 (-8)r2c6 (-6)r2c8 (-8)r2c8 (-3)r2c9 (-6)r3c5 (-8)r3c5 (-6)r3c6 (-6)r3c7 (-8)r3c7 (-1)r3c8 (-2)r3c8 (-3)r3c8 (-7)r4c7 (-9)r4c7 (-1)r3c9 (-6)r4c8 (-8)r4c8 (-6)r5c9 (-8)r5c9 (-1)r5c4 (-2)r5c4 (-3)r5c4 (-4)r5c4 (-1)r5c6 (-2)r5c6 (-3)r5c6 (-4)r5c6 (-3)r5c8 (-7)r6c9 (-9)r6c9 (-1)r7c6 (-2)r7c6 (-3)r7c6 (-4)r7c6 (-8)r6c8 (-9)r7c8 (-8)r7c9 (-1)r8c5 (-2)r8c5 (-3)r8c5 (-4)r8c5 (-6)r7c8 (-7)r7c8 (-9)r8c9 (-3)r9c1 (-1)r8c4 (-2)r8c4 (-3)r8c4 (-4)r8c4 (-6)r8c6 (-7)r8c6 (-8)r8c6 (-9)r8c6 |
XV  => (-1)r1c2 (-8)r2c9 (-6)r2c9 (-4)r2c9 (-7)r1c9 (-2)r2c9 (-2)r2c5 (-4)r2c5 (-8)r3c6 (-4)r3c6 (-2)r3c6 (-4)r4c9 (-2)r4c9 (-1)r6c3 (-2)r6c3 (-3)r6c3 (-4)r6c3 (-9)r9c5 (-8)r9c5 (-7)r9c5 (-6)r9c5
[7,2] r1c2=2 Naked Single
[7,3] r1c3=3 Naked Single
stte

SiSeSuSo String code is:
Code: Select all
#1//B4,JSKRXV
.................................................................................
111233333111224443111254443222254443625555573688857777688857999688877999666667999
211111110112..1..011.2..120..1.2.1.0...11..20...1...10..2.1.110.1.1.1..0.11..1.10
..12..1..1......12..1.121.1........111......1.....1.111...1.1.1211..11.1000000000
.V......0........0........0.......X0........0..XVX...0........0........0.....V..0
........X....XX...........V....X.......X..X......X.V..V............X.VX.000000000
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