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June 19 Nightmare

 
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AZ Matt
New kid on the Grid
New kid on the Grid


Joined: 22 Jun 2006
Posts: 2
Location: Phoenix AZ USA

PostPosted: Thu Jun 22, 2006 7:36 pm    Post subject: June 19 Nightmare Reply with quote

June 19 Nightmare: Wow... I am stuck here:

Code:
346  2346  8     1234  7    5     136  9    1234
9    5     24    6     128  234   1378 1478 123478
1    7     246   2348  9    234   3568 2458 2348

457  1249  1247  2459  3    8     1247 1247 6
78   24    3     24    6    1    9     78   5
4568 12469 1246  7     25   249   18   3    1248

2    8     167   135   4    367   1357 157  9
367  136   9     12358 1258 2367  4    1578 1378
347  134   5     1389  18   379   2    6    1378


I've tried colouring, forcing chains -- what am I missing?

I bet it is obvious...
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Ruud
Site Owner
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Joined: 30 Dec 2005
Posts: 601

PostPosted: Fri Jun 23, 2006 12:09 am    Post subject: Reply with quote

You are missing, not necessarily in this order:

4 Line-box interactions
1 Naked pair
2 Hidden pairs
1 X-Wing
1 XY-Wing
1 XYZ-Wing
2 Finned X-Wings
1 Finned Swordfish
2 Nishio steps

Shocked

But maybe there are quicker ways to solve this puzzle. Some of our regular guests may be able to help you.

Welcome to the site and forum!

Ruud.
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GreenLantern
Regular
Regular


Joined: 30 May 2006
Posts: 14

PostPosted: Fri Jun 23, 2006 6:02 am    Post subject: Reply with quote

From your starting grid, the following basic steps can be applied:

  • Removing 24 from r4c7
  • Naked Triple (178) in Box 6 => r4c8<>17, r6c9<>18
  • Locked Candidate '3' in Box 1 => r1c479<>3
  • Locked Candidate '1' in Box 6 => r127c7<>1
  • Hidden Single '6' in Box 1 => r3c3=6
  • Hidden Single '6' in Row 7 => r7c6=6


Code:

+-------------------------+-------------------------+-------------------------+
| 34      234     8       | 124     7       5       | 6       9       124     |
| 9       5       24      | 6       128     234     | 378     1478    123478  |
| 1       7       6       | 2348    9       234     | 358     2458    2348    |
+-------------------------+-------------------------+-------------------------+
| 457     1249    1247    | 2459    3       8       | 17      24      6       |
| 78      24      3       | 24      6       1       | 9       78      5       |
| 4568    12469   124     | 7       25      249     | 18      3       24      |
+-------------------------+-------------------------+-------------------------+
| 2       8       17      | 135     4       6       | 357     157     9       |
| 367     136     9       | 12358   1258    237     | 4       1578    1378    |
| 347     134     5       | 1389    18      379     | 2       6       1378    |
+-------------------------+-------------------------+-------------------------+

From here, I applied the following steps to solve the puzzle:

  • Multicoloring in 7's: r47c3,r4c7,r5c8 => r7c8<>7
  • [r1c2]=2=[r2c3]=4=[r46c3]-4-[r5c2]-2-[r1c2] => r46c12<>4, r46c2<>2
  • [r4c2]=9=[r4c4]-9-[r6c6]=9|1=[r6c3]-1-[r4c2] => r4c2<>1
  • [r8c4]=8=[r4c4]-8-[r2c5]=8|2=[r8c6]-2-[r8c4] => r8c4<>2
  • Multicoloring in 8's: r38c4,r9c59 => r3c9<>8
  • [r9c9]=8=[r9c5]-8-[r2c5]=8=[r3c4]=3=[r23c6]-3-[r9c6]-7-[r9c9] => r9c9<>7
  • [r4c1](-7-[r5c1])=5=[r6c1]=6=[r6c2]=1=[r46c3]-1-[r7c3]-7-[r89c1]=7=[r4c1] => r6c1=56
  • [r4c3]=7=[r7c3]=1=[r89c2]-1-[r6c2]-6-[r6c1]-5-[r4c1]=5=[r4c4]=4=[r5c4]-4-[r5c2]-2-[r4c3] => r4c3<>2
  • [r2c9]=7=[r8c9]-7-[r7c7]=7=[r7c3]-7-[r4c3]-4-[r4c8]-2-[r6c9]-4-[r2c9] => r2c9<>4
  • [r6c3]=4=[r6c9]-4-[r1c9]=4=[r1c12]-4-[r2c3]-2-[r6c3] => r6c3<>2
  • Unique Rectangle (34): r19c12 => r8c1<>7, r8c2<>1
  • Coloring in 2's: r3c68,r4c48,r6c59,r8c56 => r4c8/r6c5/r8c6=2
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AZ Matt
New kid on the Grid
New kid on the Grid


Joined: 22 Jun 2006
Posts: 2
Location: Phoenix AZ USA

PostPosted: Fri Jun 23, 2006 3:44 pm    Post subject: Sheesh.... Reply with quote

I don't know how I got the 24 as candidates in r4c7. That was it. Thanks.
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