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ttt
Joined: 06 Dec 2008
Posts: 42
Location: vietnam
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 Posted: Fri Oct 22, 2010 3:11 am Post subject: Interesting Puzzles |
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Hi All,
Below puzzles, I received from coloin via pm on old PF. Hope, something is intrested for you  .
| Code: | 1# 3.....7.1.9.4.......1...5...8.29........4..2...45..8.6..7.......6.9.....5.....1.3
2# ......7.1.9.4.......1...53..8.29........4..2.....7.8.6..7.8.....6.9..........51.3
3# 3.4...7.1.9.4.......1...5...8.29........4..2.4.....8.6....8.....6.9..........51.3 |
Can solve them with… one stepper? Enjoy and Good Luck!
ttt |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Fri Oct 22, 2010 3:28 pm Post subject: |
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I had a go at the first one - at least you don't have to waste time with basics 
As it was from ttt - I assumed this was an AHS/ALS sort of puzzle, there are hardly any bivalues anyway 
Looking at c2 there is (24)ANP situation that creates a strong link (5)r1c2=(7)r3c2.
We then see that a (2368)ANQ exists in r2 which also creates a strong link (5)r2c3=(7)r2c1.
The only situation that means a (24)NP does not exist in c2 is if both (5)r1c2 and (7)r3c2. However, this cannot be true because the strong link created by the ANQ stops this.
So a (24)NP must exist and so r67c2<>2, r7c2<>4
Which miraculously solves the puzzle.
It's a good thing there was an obvious ANP early in my scan - or I would never find something like this
[Edit] An attempt at an AIC...
ANP(24=5)r19c2 - ANQ(5=2368)r2c3789 - (268=7)r2c1 - ANP(7=24)r39c2 ; r67c2<>2, r7c2<>4
(I guess this is basically an ALS/ALS move) |
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ttt
Joined: 06 Dec 2008
Posts: 42
Location: vietnam
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| Posted: Sat Oct 23, 2010 8:30 am Post subject: |
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| peterj wrote: | Looking at c2 there is (24)ANP situation that creates a strong link (5)r1c2=(7)r3c2.
We then see that a (2368)ANQ exists in r2 which also creates a strong link (5)r2c3=(7)r2c1.
The only situation that means a (24)NP does not exist in c2 is if both (5)r1c2 and (7)r3c2. However, this cannot be true because the strong link created by the ANQ stops this.
So a (24)NP must exist and so r67c2<>2, r7c2<>4
Which miraculously solves the puzzle.
It's a good thing there was an obvious ANP early in my scan - or I would never find something like this
[Edit] An attempt at an AIC...
ANP(24=5)r19c2 - ANQ(5=2368)r2c3789 - (268=7)r2c1 - ANP(7=24)r39c2 ; r67c2<>2, r7c2<>4
(I guess this is basically an ALS/ALS move) |
| Code: | *--------------------------------------------------------------------------------------*
| 3 245 2568 | 68 2568 25689 | 7 4689 1 |
| 2678 9 2568 | 4 1235678 1235678 | 236 368 28 |
| 24678 247 1 | 3678 23678 236789 | 5 34689 2489 |
|----------------------------+----------------------------+----------------------------|
| 167 8 356 | 2 9 1367 | 34 13457 457 |
| 1679 1357 3569 | 13678 4 13678 | 39 2 579 |
| 1279 1237 4 | 5 137 137 | 8 1379 6 |
|----------------------------+----------------------------+----------------------------|
| 12489 1234 7 | 1368 123568 1234568 | 2469 45689 24589 |
| 1248 6 238 | 9 123578 1234578 | 24 4578 24578 |
| 5 24 289 | 678 2678 24678 | 1 46789 3 |
*--------------------------------------------------------------------------------------*
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Yes, something likes that but you lost some deductions on your loop and if you look it again and consider HP(17) on R2 then you can see another way:
(24=7)r39c2-(7)r2c1=(17-5)r2c56=(5)r2c3-(5=24)r19c2
=> Loop => r3c1<>7, r1c3<>5, r67c2<>2, r7c2<>4, r2c56<>2368 - 13 deductions
ttt |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sat Oct 23, 2010 2:15 pm Post subject: |
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Great analysis Peter.
I spotted the ANP(24) and the ALS(2457) but missed the AHP(17) or the ANQ(2368).
Ted |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sat Oct 23, 2010 8:33 pm Post subject: |
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here is ttt's chain in a pic.
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Sun Oct 24, 2010 12:59 am Post subject: |
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puzze #2.
w-wing (13) in columns 5 and 6 take out the 3's in r78c6
| Code: | +--------------------------+-------------------+--------------------+
| 2468-35 (2345) 2468-35 | 368 35 23689 | 7 49 1 |
| (357) 9 (35) | 4 135 137 | 26 68 28 |
| 2468-7 (247) 1 | 678 26 26789 | 5 3 49 |
+--------------------------+-------------------+--------------------+
| 134567 8 3456 | 2 9 136 | 34 1457 457 |
| 135679 1357 3569 | 13568 4 1368 | 39 2 579 |
| 123459 135-24 23459 | 135 7 13 | 8 1459 6 |
+--------------------------+-------------------+--------------------+
| 123459 135-24 7 | 136 8 1246 | 2469 4569 2459 |
| 123458 6 23458 | 9 13 1247 | 24 4578 24578 |
| 2489 (24) 2489 | 67 26 5 | 1 46789 3 |
+--------------------------+-------------------+--------------------+ |
(7)r2c1 = (35)r2c13 - (35=24)r19c2 - (24=7)r3c2; loop
r1c13 <> 35
r3c1 <> 7
r34c2 <> 24
| Code: | +--------------------+-------------------+-------------------+
| 2468 2345 2468 | 368 35 23689 | 7 49 1 |
| 357 9 35 | 4 135 137 | 6(2) 68 (28) |
| 2468 247 1 | 678 26 26789 | 5 3 49 |
+--------------------+-------------------+-------------------+
| 34567 8 3456 | 2 9 36 | 34 1 57 |
| 135679 1357 3569 | 13568 4 1368 | 39 2 57 |
| 249 135 249 | 135 7 13 | 8 49 6 |
+--------------------+-------------------+-------------------+
| 1235 135 7 | 136 8 1246 | 2469 56 249 |
| 12358 6 2358 | 9 13 1247 | (24) 578 2-4(8) |
| 2489 24 2489 | 67 26 5 | 1 678 3 |
+--------------------+-------------------+-------------------+ |
(4=2)r8c7 - (2)r2c7 = (2-8)r2c9 = (8)r8c9; r8c9 <> 4
| Code: | +----------------------+-------------------+-------------------+
| 2468 2345 2468 | 368 35 23689 | 7 9(4) 1 |
| 357 9 35 | 4 135 137 | 26 68 28 |
| 2468 27-4 1 | 678 26 26789 | 5 3 9(4) |
+----------------------+-------------------+-------------------+
| 34567 8 3456 | 2 9 36 | 3(4) 1 57 |
| 135679 1357 3569 | 13568 4 1368 | 39 2 57 |
| 249 135 249 | 135 7 13 | 8 9(4) 6 |
+----------------------+-------------------+-------------------+
| 1235 135 7 | 136 8 1246 | 2469 56 49 |
| 12358 6 2358 | 9 13 1247 | (24) 578 (28) |
| 2(489) 2(4) 2(489) | 67 26 5 | 1 67(8) 3 |
+----------------------+-------------------+-------------------+ |
(4)r9c2 = hp(89-8)r9c13 = (8)r9c8 - (8=2)r8c9 - (2=4)r8c7 - (4)r4c7 = (4)r6c8 - (4)r1c8 = (4)r3c9; r3c2 <> 4
| Code: | +----------------------+-------------------+-----------------+
| 2468 2345 2468 | 368 35 23689 | 7 49 1 |
| 357 9 (35) | 4 135 137 | 26 68 28 |
| 2468 27 1 | 678 26 26789 | 5 3 49 |
+----------------------+-------------------+-----------------+
| 34567 8 456-3 | 2 9 36 | (34) 1 57 |
| 135679 1357 3569 | 13568 4 1368 | 39 2 57 |
| 249 135 249 | 135 7 13 | 8 49 6 |
+----------------------+-------------------+-----------------+
| 1235 135 7 | 136 8 1246 | 2469 56 49 |
| 12358 6 (2358) | 9 13 1247 | (24) 578 (28) |
| 2489 24 2489 | 67 26 5 | 1 678 3 |
+----------------------+-------------------+-----------------+ |
(35)r28c3 = (28)r8c39 - (2=4)r8c7 = (4=3)r7c7; r4c3 <> 3
finned x-wing 2's r3c1 <> 2
and I looked at it long enough. |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Sun Oct 24, 2010 3:37 pm Post subject: |
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Puzzle #2 - Well at least it had some basics! I nearly gave up on this...
First move is the remnants of the one-stepper move from last time which still does some damage
| Code: | | #1 ANP(24=7)r39c2 - ANP(7=35)r2c13 - ANP(35=24)r1c2 - loop ; r67c2<>24, r1c13<>35, r3c1<>7 |
leads to another nice ALS move...
| Code: | *-----------------------------------------------------------------------------*
| 2468 2345 2468 | 368 35 23689 | 7 49 1 |
| 357 9 35 | 4 135 137 | 26 68 28 |
| 2468 247 1 | 678 26 26789 | 5 3 49 |
|-------------------------+-------------------------+-------------------------|
| 34567 8 3456 | 2 9 36 | 34 1 57 |
| 135679 1357 3569 | 13568 4 1368 | 39 2 57 |
| 249 135 249 | 135 7 13 | 8 49 6 |
|-------------------------+-------------------------+-------------------------|
| 1235 135 7 | (136) 8 12346 | 2469 56 249 |
| 12358 6 2358 | 9 (13) (137)(24)| (24) 578 (248) |
| 2489 24 2489 | (67) 2-6 5 | 1 (678) 3 |
*-----------------------------------------------------------------------------*
#2 ANP(67=8)r9c48 - ANP(8=24)r8c79 - ANQ(24=1367)r7c6|r8c56|r9c6 ; r9c5<>6 |
And then it's plain sailing!
| Code: | #3 kite(4) r3, c8 ; r6c1<>4
#4 m-wing(24) ; (4=2)r8c7 - r8c3=(2-4)r6c3=r6c8 ; r4c7<>4
#5 skyscraper(1) r5, r8 ; r7c4<>1 |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Sun Oct 24, 2010 5:28 pm Post subject: |
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Puzzle #3 - OK, so clearly these are etudes on ALS moves! And clearly I missed the correct move on puzzle #2 as the one-stepper on this one was more obvious (having done the work on #1)
| Code: | | (2=5)r1c2 - ALS(5=236789)r1c345|r3c345 - (7=2)r3c2 - loop ; r2c13<>2, r3c1<>2, r679c2<>2, r2c6<>8 (?) |
Not sure my AIC is correct but the (25)r1c2 and (27)r3c2 toggle between a (236789) and (235689) locked set.
Better go back to look at #2! |
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ttt
Joined: 06 Dec 2008
Posts: 42
Location: vietnam
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| Posted: Wed Oct 27, 2010 8:15 am Post subject: |
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Hi All,
Thank you for your nice solutions!
Puzzle 04: m_b_metcalf’s puzzle – on Pattern Games 0083-50
| Code: | 000001002030000040005670800006008500007020000100400000002500900080000030900000001
*--------------------------------------------------------------------*
| 4678 4679 489 | 389 34589 1 | 367 5679 2 |
| 2678 3 189 | 289 589 259 | 167 4 5679 |
| 24 1249 5 | 6 7 2349 | 8 19 39 |
|----------------------+----------------------+----------------------|
| 234 249 6 | 1379 139 8 | 5 1279 3479 |
| 3458 459 7 | 139 2 3569 | 1346 1689 34689 |
| 1 259 389 | 4 3569 35679 | 2367 26789 36789 |
|----------------------+----------------------+----------------------|
| 3467 1467 2 | 5 13468 3467 | 9 678 4678 |
| 4567 8 14 | 1279 1469 24679 | 2467 3 4567 |
| 9 4567 34 | 2378 3468 23467 | 2467 25678 1 |
*--------------------------------------------------------------------* |
Enjoy!
ttt |
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