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ravel
Joined: 21 Apr 2006
Posts: 536
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 Posted: Tue Mar 11, 2008 3:59 pm Post subject: Fresh meat |
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It seems, you are much faster with solving the puzzles, than i with finding new ones. This one i generated myself. I am looking forward to your solutions. Probably its a bit harder than the "another one", but hopefully more fun than serious challenge.
| Code: | +-------+-------+-------+
| 7 . . | . 5 . | . . . |
| . . 6 | 4 1 . | 8 . . |
| . 8 . | . . 9 | . . . |
+-------+-------+-------+
| . 6 . | 9 . 4 | . . . |
| 3 9 . | . 7 . | . . . |
| . . 1 | 2 . 3 | 4 . . |
+-------+-------+-------+
| . 3 . | . . 2 | . 6 . |
| . . . | . . . | 1 5 . |
| . . . | . . . | . . 9 |
+-------+-------+-------+
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>>> play online |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Mar 11, 2008 6:38 pm Post subject: |
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| Code: | 7 14 23 | 368 5 68 | 9 124 1246
9 25 6 | 4 1 7 | 8 23 235
14 8 35 | 36 2 9 | 56 147 147
------------------------------------------------------------------
A25 6 257 | 9 8 4 |A35 137 1357
3 9 4 |B15 7 B15 | 26 28 268
8 57 1 | 2 6 3 | 4 9 57
------------------------------------------------------------------
145 3 589 | 158 49 2 | 7 6 48
246 247 2789 | 678 349 68 | 1 5 2348
1-2456 12457 2578 |(15)678 34 B15 |A23 2348 9 |
I open the bidding...
with A = xy-wing {235} removes 2 from r9c1
and with B = UR {15} removes 1 and 5 from r9c4
then there is still an x-wing on 5 removing 5 from r9c2 and r4c9
leaves you with this grid...
| Code: | 7 14 23 | 368 5 68 | 9 124 1246
9 25 6 | 4 1 7 | 8 23 235
14 8 35 | 36 2 9 | 56 147 147
------------------------------------------------------------------
25 6 257 | 9 8 4 | 35 137 137
3 9 4 | 15 7 15 | 26 28 268
8 57 1 | 2 6 3 | 4 9 57
------------------------------------------------------------------
145 3 589 | 15 49 2 | 7 6 48
246 247 2789 | 678 349 68 | 1 5 2348
1456 1247 2578 | 678 34 15 | 23 2348 9 |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Mar 11, 2008 6:56 pm Post subject: |
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| Quote: | | It seems, you are much faster with solving the puzzles, than i with finding new ones. This one i generated myself. I am looking forward to your solutions. Probably its a bit harder than the "another one", but hopefully more fun than serious challenge |
was this puzzle meant for someone in particular??
it reads like you used "you" and "your" in the second person. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Wed Mar 12, 2008 12:32 am Post subject: |
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| Code: | 7 14 23 | 368 5 68 | 9 124 1246
9 25 6 | 4 1 7 | 8 23 235
14 8 35 | 36 2 9 | 56 147 147
------------------------------------------------------------------
2 6 57 | 9 8 4 | 35 17 137
3 9 4 | 15 7 15 | 26 28 268
8 57 1 | 2 6 3 | 4 9 57
------------------------------------------------------------------
145 3 89 | 15 49 2 | 7 6 48
46 247 2789 | 678 349 68 | 1 5 2348
1456 147 278 | 678 34 15 | 23 2348 9 |
this is the grid after 3 very long xy-chains |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Mar 12, 2008 1:06 am Post subject: |
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| storm_norm wrote: | | Code: | 7 14 23 | 368 5 68 | 9 124 1246
9 25 6 | 4 1 7 | 8 23 235
14 8 35 | 36 2 9 | 56 147 147
------------------------------------------------------------------
2 6 57 | 9 8 4 | 35 17 137
3 9 4 | 15 7 15 | 26 28 268
8 57 1 | 2 6 3 | 4 9 57
------------------------------------------------------------------
145 3 89 | 15 49 2 | 7 6 48
46 247 2789 | 678 349 68 | 1 5 2348
1456 147 278 | 678 34 15 | 23 2348 9 |
this is the grid after 3 very long xy-chains |
With regard to the 68 UR in boxes 2 and 8, either r1c4 must be = 3 or r8c4 must be = 7. Testing each reveals that the 3 in r1c4 completes the puzzle. |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Wed Mar 12, 2008 1:49 am Post subject: |
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Interesting symmetry in those givens.
Beginning with the <5> X-Wing and the {15} UR mentioned by Norm as the first two steps, I ignore the XY Wing and proceed instead with a simple AIC in boxes 1 and 4 based on the strongly linked <5>s in c2.
[3] Eureka: (2)r4c3-(2)r1c3=(2-5)r2c2=(5-7)r6c2=(7-2)r4c3; r4c3<>2
Ordinary language: r1c3 is either 2 or not 2. r1c2 not 2 -> r2c2=2 -> r6c2=5 -> r4c3=7. In either case, r4c3 is not <2>.
This sets r4c1=2 and creates strongly linked <5>s in r79c1, leading to...
[4] 6-Cell {15} DP in boxes 5,7,8: r3c1=1.
The grid now:
| Code: |
+------------------+------------------+------------------+
| 7 4 23 | 368 5 68 | 9 12 126 |
| 9 25 6 | 4 1 7 | 8 23 235 |
| 1 8 35 | 36 2 9 | 56 47 47 |
+------------------+------------------+------------------+
| 2 6 57 | 9 8 4 | 35 137 137 |
| 3 9 4 | 5 7 1 | 26 28 268 |
| 8 57 1 | 2 6 3 | 4 9 57 |
+------------------+------------------+------------------+
| 5 3 89 | 1 49 2 | 7 6 48 |
| 46 27 2789 | 678 349 68 | 1 5 2348 |
| 46 1 278 | 678 34 5 | 23 2348 9 |
+------------------+------------------+------------------+
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There is now a {68} UR that can remove <6> from r8c4. [Note: Reading Norm's subsequent post, I did not notice that the extra digits in this UR determine each other. I generally avoid testing extra digits in URs since if feels too much like forcing to me. But, it does solve the puzzle at this point.] And, there is another AIC in b789 very much like the one above that removes <4> from r8c9. But neither leads immediately to a solution. Instead, I did some Medusa multicoloring and found an AIC which does:
[5] Eureka:
(7-5)r4c3=(5-3)r4c7=(3)r9c7-(3=4)r9c5-(4)r9c8=(4-7)r3c8=(7)r4c8-(7)r4c3; r4c3<>7
Ordinary language:
r4c3=7 -> r4c7=5 -> r9c7=3 -> r9c5=4 -> r9c8 not 4 -> r3c8=4 -> r4c8=7. But, we cannot have two <7>s in r8. So, r4c3 is not <7>. |
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ravel
Joined: 21 Apr 2006
Posts: 536
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| Posted: Tue Mar 18, 2008 9:11 am Post subject: |
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Almost forgot to post the solution, i had prepared:
| Code: | *---------------------------------------------------------*
| 7 14 23 | 368 5 68 | 9 124 1246 |
| 9 X25 6 | 4 1 7 | 8 23 X235 |
| 14 8 35 | 36 2 9 | 56 147 147 |
|---------------------+-----------------+-----------------|
|#25 6 257 | 9 8 4 |#35 137 13-57 |
| 3 9 4 |@15 7 @15 | 26 28 268 |
| 8 X57 1 | 2 6 3 | 4 9 X57 |
|---------------------+-----------------+-----------------|
| 145 3 589 | 158 49 2 | 7 6 48 |
| 246 247 2789 | 678 349 68 | 1 5 2348 |
| 1-2456 124-57 2578 |@678-15 34 @15 |#23 2348 9 |
*---------------------------------------------------------*
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x-wing 5 in r26c29 => r4c9<>5, r9c2<>5
xy-wing 235, Pivot r4c7 => r9c1<>2
UR 15 (type 1) in r59c46 => r9c4<>15
| Code: | *-------------------------------------------------------*
| 7 14 *23 |#68+3 5 #68 | 9 124 1246 |
| 9 *25 6 | 4 1 7 | 8 23 235 |
| 14 8 35 | 36 2 9 | 56 147 147 |
|-------------------+-----------------+-----------------|
| 25 6 257 | 9 8 4 | 35 137 137 |
| 3 9 4 | 15 7 15 | 26 28 268 |
| 8 *57 1 | 2 6 3 | 4 9 57 |
|-------------------+-----------------+-----------------|
| 145 3 589 | 158 49 2 | 7 6 48 |
| 246 24-7 2789 |#68+7 349 #68 | 1 5 2348 |
| 1456 1247 2578 | 678 34 15 | 23 2348 9 |
*-------------------------------------------------------*
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UR 68: r1c4=3 or r8c4=7
r1c4=3 => r1c3=2 => r2c2=5 => r6c2=7
==> r6c2=7 or r8c4=7 => r8c2<>7
Remark: I understand, that Asellus does not like to test UR extra digits (in all directions) to get an elimination. But i cant resist, once i noticed them (and it does not take long time, also if i cant find something).
| Code: | *------------------------------------------------------*
| 7 14 23 | 368 5 68 | 9 124 1246 |
| 9 25 6 | 4 1 7 | 8 23 235 |
| 14 8 35 | 36 2 9 | 56 147 147 |
|--------------------+---------------+-----------------|
| 25 6 257 | 9 8 4 | 35 137 137 |
| 3 9 4 |#15 7 #15 | 26 28 268 |
| 8 57 1 | 2 6 3 | 4 9 57 |
|--------------------+---------------+-----------------|
|#15+4 3 589 |#15 49 2 | 7 6 48 |
|*246 *24 -2789 | 678 349 68 | 1 5 2348 |
|#15+46 17-24 -2578 | 678 34 #15 | 23 2348 9 |
*------------------------------------------------------*
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DP 15 locks 46 to r79c1 => triple 246 in box 7 => r89c3<>2, r9c2<>24
| Code: | *--------------------------------------------------*
| 7 14 @23 | 368 5 68 | 9 124 1246 |
| 9 #25 6 | 4 1 7 | 8 23 235 |
| 14 8 35 | 36 2 9 | 56 147 147 |
|----------------+---------------+-----------------|
|#25 6 @257 | 9 8 4 | 35 137 137 |
| 3 9 4 | 15 7 15 | 26 28 268 |
| 8 -57 1 | 2 6 3 | 4 9 57 |
|----------------+---------------+-----------------|
| 145 3 589 | 15 49 2 | 7 6 48 |
| 246 24 789 | 678 349 68 | 1 5 348 |
| 1456 17 578 | 678 34 15 | 23 2348 9 |
*--------------------------------------------------*
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w-wing 25 with strong link for 2 in column 3 (r2c2=5 or r4c1=5) => r6c2<>5 |
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