SudokuSolver Forum

A forum for Sudoku enthusiasts to share puzzles, techniques and software
It is currently Thu Mar 28, 2024 4:23 pm

All times are UTC




Post new topic Reply to topic  [ 6 posts ] 
Author Message
 Post subject: Assassin 325 X
PostPosted: Fri Sep 18, 2015 5:49 pm 
Offline
Grand Master
Grand Master

Joined: Wed Apr 30, 2008 9:45 pm
Posts: 693
Location: Saudi Arabia
Assassin 325 X 12s zero

SS gives it 1.35 - probably easier.

Image

JS Code
3x3:d:k:3078:22:3861:3861:3083:23:3085:24:3077:25:3078:3086:3074:3083:3075:3085:3077:26:27:3086:3074:3083:3088:3088:3075:28:29:30:3074:31:3074:3089:3075:32:3075:33:3081:3081:3081:34:3073:3089:3080:3080:3080:35:3076:36:3076:37:3073:3073:38:39:3091:40:3076:41:3082:3073:3343:3343:42:3091:3852:43:3076:3082:3090:3090:3079:3090:3852:44:3092:3092:3082:45:46:3090:3079:

Solution:
876914523
543682791
291357486
637245819
129768354
458193267
362571948
985436172
714829635


This one is without the 15(2) cage in r1c34, SS gives it 1.95 - definitely easier than that.

Image

JS Code:
3x3:d:k:3078:21:22:23:3083:24:3085:25:3077:26:3078:3086:3074:3083:3075:3085:3077:27:28:3086:3074:3083:3088:3088:3075:29:30:31:3074:32:3074:3089:3075:33:3075:34:3081:3081:3081:35:3073:3089:3080:3080:3080:36:3076:37:3076:38:3073:3073:39:40:3091:41:3076:42:3082:3073:3343:3343:43:3091:3852:44:3076:3082:3090:3090:3079:3090:3852:45:3092:3092:3082:46:47:3090:3079:


Last edited by HATMAN on Tue Sep 22, 2015 8:09 am, edited 1 time in total.

Top
 Profile  
Reply with quote  
 Post subject:
PostPosted: Sat Sep 19, 2015 8:41 am 
Offline
Grand Master
Grand Master

Joined: Mon Apr 21, 2008 9:44 am
Posts: 310
Location: MV, Germany
Thanks for this fun Killer, HATMAN! It can be solved quite fast but it needs some advanced moves. Depending on how you judge my steps 3a and 3b the rating might be lower.

A325X Hard Walkthrough:
1. R59+D/
a) Hidden Killer pair (79) in 12(2) @ D/ since 15(2) can only have one of them -> 12(2) <> 4,8
b) 8 locked in 15(2) @ D/ = {78} locked for N7+D/
c) 12(2) @ R7C1 = {39} locked for C1+N7
d) 12(2) @ D/ = {39} locked for N3+D/
e) 12(2) @ R9C3 = [48/57]
f) Naked pair (78) locked in R9C14 for R9
g) Innies R5 = 21(3) <> 1,2,3 -> R5C46 = (789)
h) Innies+Outies R5: -9 = R4C5 - R5C45 -> R4C5 <> 9, R5C4 <> 9 (IOU @ N5)

2. N18+C4
a) 12(2) @ R1C1 = {48/57}
b) Naked pair (78) locked in R59C4 for C4
c) Hidden Killer pair (78) in 12(3) @ N8 = {138/147/237} <> 5,6,9
d) 12(3) @ N2: R3C4 <> 9 since {12}9 blocked by Killer pair (12) of 12(3) @ N8

3. R123 !
a) ! 9 locked in both 12(2) @ R3 -> CPE: R2C456 <> 3
b) ! 3 locked in R2C38 @ R2 @ 12(2) -> CPE: R1C23 <> 9
c) 9 locked in 12(2) @ R2C3 @ N1 = {39} locked for N1
d) 12(2) @ N2 <> {39} since it's blocked by R3C2 = (39)
e) Hidden Single: R3C2 = 9 @ R3, R3C4 = 3 @ R3
f) 12(3) @ N2 = 3{18/27/45} <> 6,9
g) Hidden Single: R6C5 = 9 @ C5

4. C456
a) Innies R5 = 21(3) = {678} locked for R5+N5; R5C5 = 6
b) 12(2) @ N5 <> 3
c) 3 locked in 12(3) @ C5 = 3{18/27} for N8
d) Hidden Single: R6C6 = 3 @ C6

5. D\+R7+N2
a) 12(2) @ N9 = [75/84]
b) Hidden Single: R7C7 = 9 @ D\ -> R7C8 = 4
c) R9C9 = 5 -> R8C8 = 7, R8C2 = 8, R2C2 = 4
d) 12(4) @ N1 = {1236} -> R4C2 = 3, R2C4 = 6
e) 7 locked 12(3) @ R7 = {237} locked for C5+N8
f) 12(2) @ R3 = [57] since (48) is a Killer pair of 12(3) @ N2

6. Rest is singles without considering diagonals.

Rating:
Easy 1.5. I used Locked cages.


Last edited by Afmob on Sat Sep 26, 2015 5:42 am, edited 1 time in total.

Top
 Profile  
Reply with quote  
 Post subject: Re: Assassin 325 X
PostPosted: Sun Sep 20, 2015 5:59 pm 
Offline
Grand Master
Grand Master

Joined: Tue Jun 16, 2009 9:31 pm
Posts: 280
Location: California, out of London
Thanks again HATMAN! Lots of deductions that can be made from the 12's all over the place. It was much easier than the rating suggested. This is my WT for the harder one. I'm sure it has a lot in common with afmob's - which I will look at now...

Assassin 325X:
1. (789) on D/ only in r1289
-> 15(2)n7 = {78} and 12(2)r1c9 = {39}
-> 12(2)n7 = {39}
-> 12(2)r1c1 not {39}
Also -> 12(2)r9c3 = [48] or [57]
-> (78) locked in r9 in r9c14

2. Innies r5 = r5c456 = +21
Max r5c5 = 6
-> r5c46 each from (789) and r4c5 from (345)
(789) in n5 not in diagonals (Those cells all members of 12(4)s)
12(2)n5 prevents r5c56 = +12 -> r5c4 not 9.
-> (789) in n5 in r5c46 and r6c5 with r5c4 from (78)

3. -> (78) locked in c4 in r59c4
-> Whichever of (78) is in r9c1 is in n8 in r78c5
-> 12(3)n8 from {138}, {147} or {237}
-> One of (12) in 12(3)n8
-> r3c4 not = 9.

4! Given r1c9 from (39)
-> (39) in n1 either in 12(2)r2c3 or 9 in r1c23 and 3 in r3c3
-> Either way 12(2)n2 not {39}
-> HS 9 in r3 -> r3c2 = 9

5. -> r2c3 = 3
-> 12(2)n3 = [39]
-> HS 3 in r3 -> r3c4 = 3
-> HS 9 in c5 -> r6c5 = 9
-> Innies r5 -> r5c456 = [768] or [867]
Also -> HS 3 in n5 -> r6c6 = 3
-> HS 9 in D\ -> r7c7 = 9
-> 12(2)n7 = [39] and r7c8 = 4
-> 12(2)n9 = {57}
-> HS 7 in r7 -> r7c5 = 7
-> 12(3)n8 = [7{23}] (Since 3 in c5 only in r89c5)
Also -> r9c4 = 8
-> r9c3 = 4
Also -> r5c456 = [768]
-> r4c5 = 4
-> r12c5 = {18}
-> 12(2)n2 = [57]
Also 15(2)n7 = [87]
-> 12(2)n9 = [75]
Also HS 8 in n9 -> r7c9 = 8

6. 12(4)r5c5 can only be [6321]
-> 12(3)n6 = {345}
-> 12(3)n4 = [{12}9]
-> HS 9 in n6 -> r4c9 = 9

7. 12(4)r8c6 can only be [6{123}]
-> r9c7 = 6
-> r7c2 = 6
-> HS 2 in r7 -> r7c3 = 2
-> r8c3 = 5
-> r9c2 = 1
Also r9c6 = 9
-> NS r7c4 = 5

etc.


Rating:
Easy 1.25.


Top
 Profile  
Reply with quote  
 Post subject: Re: Assassin 325 X
PostPosted: Thu Sep 24, 2015 10:25 pm 
Offline
Grand Master
Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1893
Location: Lethbridge, Alberta, Canada
Thanks HATMAN for an enjoyable puzzle. I'll probably try the harder version later.

I started in the same way as Afmob, but after that our solving paths were very different.

Here is my walkthrough for Assassin 325X:
Thanks Afmob for pointing out that my original step 13 wasn't necessary to reach naked singles.

Prelims

a) 12(2) cage at R1C1 = {39/48/57}, no 1,2,6
b) R1C34 = {69/78}
c) R12C7 = {39/48/57}, no 1,2,6
d) 12(2) cage at R1C9 = {39/48/57}, no 1,2,6
e) 12(2) cage at R2C3 = {39/48/57}, no 1,2,6
f) R3C56 = {39/48/57}, no 1,2,6
g) 12(2) cage at R4C5 = {39/48/57}, no 1,2,6
h) R78C1 = {39/48/57}, no 1,2,6
i) R7C78 = {49/58/67}, no 1,2,3
j) 15(2) cage at R8C2 = {69/78}
k) 12(2) cage at R8C8 = {39/48/57}, no 1,2,6
l) R9C34 = {39/48/57}, no 1,2,6
m) 12(4) cage at R2C4 = {1236/1245}, no 7,8,9
n) 12(4) cage at R2C6 = {1236/1245}, no 7,8,9
o) 12(4) cage at R5C5 = {1236/1245}, no 7,8,9
p) 12(4) cage at R6C2 = {1236/1245}, no 7,8,9
q) 12(4) cage at R8C6 = {1236/1245}, no 7,8,9

1. Hidden killer triple 7,8,9 in 12(2) cage at R1C9 and 15(2) cage at R8C2 for D/, 12(2) cage cannot contain more than one of 7,8,9 -> 15(2) cage must contain two of 7,8,9 = {78}, locked for N7 and D/, clean-up: no 4,5 in 12(2) cage at R1C9, no 4,5 in R78C1, no 4,5 in R9C4
1a. Naked pair {39} in 12(2) cage at R1C9 = {39}, locked for N3 and D/
1b. Naked pair {39} in R78C1, locked for C1 and N7, clean-up: no 3,9 in R2C2, no 3,9 in R9C4
1c. Naked pair {78} in R9C14, locked for R9, clean-up: no 4,5 in R8C8
[Interesting that I spotted the first step in a different way from Afmob, who saw it as hidden killer pair 7,9 for D/ eliminating 8 from the 12(2) cage, then 8 on D/ only in the 15(2) cage. That’s the technically simpler way to do it.]

2. Hidden killer triple 7,8,9 in 12(2) cage at R1C1, R7C7 and 12(2) cage at R8C8 for D\, 12(2) cage at R1C1 contains one of 7,8, 12(2) cage at R8C8 contains one of 7,8,9 -> R7C7 = {789}, clean-up: no 7,8,9 in R7C8
2a. 9 on D\ only in R7C7 + 12(2) cage at R8C8, locked for N9
2b. Hidden killer triple 7,8,9 in R7C7, R7C9 and 12(2) cage at R8C8 for N9, R7C7 = {789}, 12(2) cage contains one of 7,8,9 -> R7C9 = {78}

3. 45 rule on R5 3 innies R5C456 = 21 = {489/579/678}, no 1,2,3, clean-up: no 9 in R4C5
3a. R5C5 = {456} -> no 4,5,6 in R5C46, clean-up: no 7,8 in R4C5
3b. R5C46 + R6C5 = {789} (hidden triple in N5)
3c. 12(4) cage at R5C5 = {1236/1245}
3d. R5C5 = {456} -> no 6 in R6C67+R7C6

4. R5C456 = 21 = {489/579/678}
4a. R5C56 cannot total 12 which clashes with 12(2) cage at R4C5 (CCC) -> no 9 in R5C4
4b. Naked pair {78} in R59C4, locked for C4, clean-up: no 7,8 in R1C3
4c. Naked pair {69} in R1C34, locked for R1 -> R1C9 = 3, R2C8 = 9, clean-up: no 3 in R3C2

5. 9 on D\ only in R7C78 = [94] or in 12(2) cage at R8C8 = [39] -> 12(2) cage = [39/75] (cannot be [84], blocking cages), no 4,8
5a. 8 in N9 only in R7C79, locked for R7
[Step 5 could have been written as combined cages R7C78 and 12(2) cage at R8C8, which would have a lower rating, but I prefer the more elegant blocking cages.]

6. Hidden killer pair 7,8 in 12(3) cage at R7C5 and R9C4 for N8, R9C4 = {78} -> 12(3) cage must contain one of 7,8 = {138/147/237}, no 5,6,9
6a. R8C1 = 9 (hidden single in R8) -> R7C1 = 3

7. Hidden killer pair 1,2 in 12(3) cage at R1C5 and 12(3) cage at R7C5 for C5, 12(3) cage at R7C5 contains one of 1,2 -> 12(3) cage at R1C5 must contain one of 1,2 in C5 = {138/147/156/237/246} (cannot be {129} because 9 only in R3C4), no 9
7a. 1,2 must be in R12C5 -> no 1,2 in R3C4)

8. R5C456 (step 3) = {579/678} (cannot be {489} because R45C5 = [34] clashes with 12(3) cage at R7C5), no 4, 7 locked for R5 and N5

9. R5C456 (step 8) = {579/678} -> R5C456 + R6C5 = {579}8/{678}9 -> R56C5 = [58/69]
9a. Hidden killer pair 6,9 in R123C5 and R56C5 for C5, R56C5 contains both or neither of 6,9 -> R123C5 must contain both or neither of 6,9 but R123C5 cannot contain both of 6,9 (which clashes with R1C4) -> R56C5 = [69], 6 placed for both diagonals, clean-up: no 3 in R3C6, no 3 in R4C5
9b. Naked pair {78} in R5C46, locked for R5
9c. R5C5 = 6 -> 12(4) cage at R5C5 = {1236}, 3 locked for R6
[Cracked. The rest is fairly straightforward.]

10. 3 in N5 only in R4C4 + R6C6, locked for D\ -> R8C8 = 7, R9C9 = 5, both placed for D\, R8C2 = 8, R9C1 = 7, R2C2 = 4, placed for D\, R1C1 = 8, R9C34 = [48], R5C4 = 7, R5C6 = 8 -> R4C5 = 4, R7C9 = 8, R7C7 = 9 -> R7C8 = 4

11. R7C5 = 7 (hidden single in R7) -> R89C5 = 5 = {23}, locked for C5 and N8, R7C6 = 1, clean-up: no 5,9 in R3C6
11a. Naked pair {23} in R6C67, locked for R6

12. 12(4) cage at R6C2 = {1245} (only remaining combination) -> R7C3 = 2, placed for D/, R4C6 = 5, R6C4 = 1, placed for D/, R6C2 = 5, clean-up: no 7 in R2C3

13. Deleted

and the rest is naked singles, without using the diagonals.

Rating Comment:
It's hard to know what rating to give for my walkthrough. I'll go for Easy 1.5 based on steps 5 and 9a; maybe I could have split step 9a into two steps and gone for a lower rating.


Top
 Profile  
Reply with quote  
 Post subject: Re: Assassin 325 X
PostPosted: Tue Sep 29, 2015 9:30 pm 
Offline
Grand Master
Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1893
Location: Lethbridge, Alberta, Canada
:oops: I hadn't noticed when I looked at Afmob's walkthrough, after solving the first version, that it was for the second version. If I had, I wouldn't have looked at his walkthrough until after I'd solved the second version; I only looked at wellbeback's walkthrough yesterday. Hopefully I'd have found either Afmob's way or wellbeback's way myself.


Top
 Profile  
Reply with quote  
 Post subject: Re: Assassin 325 X
PostPosted: Mon Nov 02, 2015 11:36 pm 
Offline
Grand Master
Grand Master

Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1893
Location: Lethbridge, Alberta, Canada
After catching up on some other puzzles, I've now had a another look at the harder version to see if I could find a different way to solve it without using Afmob's or wellbeback's breakthrough steps.

Here's is my re-worked walkthrough for A325X Harder:
Prelims

a) 12(2) cage at R1C1 = {39/48/57}, no 1,2,6
b) R12C7 = {39/48/57}, no 1,2,6
c) 12(2) cage at R1C9 = {39/48/57}, no 1,2,6
d) 12(2) cage at R2C3 = {39/48/57}, no 1,2,6
e) R3C56 = {39/48/57}, no 1,2,6
f) 12(2) cage at R4C5 = {39/48/57}, no 1,2,6
g) R78C1 = {39/48/57}, no 1,2,6
h) R7C78 = {49/58/67}, no 1,2,3
i) 15(2) cage at R8C2 = {69/78}
j) 12(2) cage at R8C8 = {39/48/57}, no 1,2,6
k) R9C34 = {39/48/57}, no 1,2,6
l) 12(4) cage at R2C4 = {1236/1245}, no 7,8,9
m) 12(4) cage at R2C6 = {1236/1245}, no 7,8,9
n) 12(4) cage at R5C5 = {1236/1245}, no 7,8,9
o) 12(4) cage at R6C2 = {1236/1245}, no 7,8,9
p) 12(4) cage at R8C6 = {1236/1245}, no 7,8,9

1. Hidden killer triple 7,8,9 in 12(2) cage at R1C9 and 15(2) cage at R8C2 for D/, 12(2) cage cannot contain more than one of 7,8,9 -> 15(2) cage must contain two of 7,8,9 = {78}, locked for N7 and D/, clean-up: no 4,5 in 12(2) cage at R1C9, no 4,5 in R78C1, no 4,5 in R9C4
1a. Naked pair {39} in 12(2) cage at R1C9 = {39}, locked for N3 and D/
1b. Naked pair {39} in R78C1, locked for C1 and N7, clean-up: no 3,9 in R2C2, no 3,9 in R9C4
1c. Naked pair {78} in R9C14, locked for R9, clean-up: no 4,5 in R8C8

2. Hidden killer triple 7,8,9 in 12(2) cage at R1C1, R7C7 and 12(2) cage at R8C8 for D\, 12(2) cage at R1C1 contains one of 7,8, 12(2) cage at R8C8 contains one of 7,8,9 -> R7C7 = {789}, clean-up: no 7,8,9 in R7C8
2a. 9 on D\ only in R7C7 + 12(2) cage at R8C8, locked for N9
2b. Hidden killer triple 7,8,9 in R7C7, R7C9 and 12(2) cage at R8C8 for N9, R7C7 = {789}, 12(2) cage contains one of 7,8,9 -> R7C9 = {78}

3. 45 rule on R5 3 innies R5C456 = 21 = {489/579/678}, no 1,2,3, clean-up: no 9 in R4C5
3a. R5C5 = {456} -> no 4,5,6 in R5C46, clean-up: no 7,8 in R4C5
3b. R5C46 + R6C5 = {789} (hidden triple in N5)
3c. 12(4) cage at R5C5 = {1236/1245}
3d. R5C5 = {456} -> no 6 in R6C67+R7C6

4. R5C456 = 21 = {489/579/678}
4a. R5C56 cannot total 12 which clashes with 12(2) cage at R4C5 (CCC) -> no 9 in R5C4
4b. Naked pair {78} in R59C4, locked for C4

5. 9 on D\ only in R7C78 = [94] or in 12(2) cage at R8C8 = {39} -> 12(2) cage = [39/75/93] (cannot be [84], blocking cages), no 4,8
5a. 8 in N9 only in R7C79, locked for R7

6. Hidden killer pair 7,8 in 12(3) cage at R7C5 and R9C4 for N8, R9C4 = {78} -> 12(3) cage must contain one of 7,8 = {138/147/237}, no 5,6,9

7. Hidden killer pair 1,2 in 12(3) cage at R1C5 and 12(3) cage at R7C5 for C5, 12(3) cage at R7C5 contains one of 1,2 -> 12(3) cage at R1C5 must contain one of 1,2 in C5 -> cannot be {12}9 -> no 9 in R3C4

8. R5C456 (step 3) = {579/678} (cannot be {489} because R45C5 = [34] clashes with 12(3) cage at R7C5), no 4, 7 locked for R5 and N5
8a. 12(4) cage at R5C5 = {1236/1245}
8b. R5C5 = {56} -> no 5 in R6C67+R7C6

[Re-worked looking for a different way to solve this puzzle, doing it more like my walkthrough for A325X, plus I’ve removed an error which was in my original walkthrough.]

9. R5C456 (step 8) = {579/678} -> R5C456 + R6C5 = {579}8/{678}9 -> R56C5 = [58/69]
9a. Hidden killer pair 6,9 in R123C5 and R56C5 for C5, R56C5 contains both or neither of 6,9 -> R123C5 must contain both or neither of 6,9 -> either R12C5 contains 6 with R3C5 = 9 (because 12(3) cage at R1C5 cannot contain both of 6,9) or R56C5 = [69] -> no 9 in R12C5
9b. 12(3) cage at R1C5 must contain one of 1,2 in C5 (step 7) -> no 1,2 in R3C4
9c. Hidden killer pair 7,8 in 12(3) cage at R1C5, R1C6 and R3C56 for N2 -> R123C5 cannot contain both of 6,9 (because 12(3) cage cannot contain 6 and one of 7,8) -> R56C5 = [69], 6 placed for both diagonals, clean-up: no 3 in R3C6, no 3 in R4C5
9d. Naked pair {78} in R5C46, locked for R5

10. 3 in N5 only in R4C4 + R6C6, locked for D\, clean-up: no 9 in 12(2) cage at R8C8
10a. R8C8 = 7, R9C9 = 5, both placed for D\, R8C2 = 8, R9C1 = 7, R2C2 = 4, R1C1 = 8, both placed for D\, R7C7 = 9 -> R7C8 = 4, R9C34 = [48], R5C4 = 7, R5C6 = 8 -> R4C5 = 4, R78C1 = [39], R7C9 = 8

11. R7C5 = 7 (hidden single in R7) -> R89C5 = 5 = {23}, locked for C5 and N8 -> R7C6 = 1, clean-up: no 5,9 in R3C6
11a. R5C5 = 6, R7C6 = 1 -> R6C67 = 5 = {23}, locked for R6

12. 12(4) cage at R8C6 = {1236} (only remaining combination, cannot be {1245} because 4,5 only in R8C6) -> R8C6 = 6, R78C4 = [54], R6C4 = 1, R7C3 = 2, both placed for D/

13. R1C4 = 9 (hidden single in C4), R1C9 = 3, R2C8 = 9, clean-up: no 3 in R3C2
13a. R3C4 = 3 (hidden single in R3) -> R12C5 = 9 = [18]

and the rest is naked singles, without using the diagonals.

Rating Comment:
I'll rate my re-worked walkthrough at Easy 1.5 to 1.5 for the interaction of two hidden killer pairs in step 9.


Top
 Profile  
Reply with quote  
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 6 posts ] 

All times are UTC


Who is online

Users browsing this forum: No registered users and 5 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
Powered by phpBB® Forum Software © phpBB Group