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Impossible Menneske No. 11

 
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keith



Joined: 19 Sep 2005
Posts: 3179
Location: near Detroit, Michigan, USA

PostPosted: Thu Mar 28, 2013 5:55 am    Post subject: Impossible Menneske No. 11 Reply with quote

Code:
  M6911767  Impossible (4692)
+-------+-------+-------+
| . . . | . 4 . | . . . |
| . . 4 | . . 1 | . 9 . |
| . . . | 7 . . | 6 8 . |
+-------+-------+-------+
| . 8 . | 5 . . | . . . |
| . 9 . | . . . | . 4 . |
| . 6 . | . . 9 | . 3 . |
+-------+-------+-------+
| . 1 . | . . 3 | . . 7 |
| . . . | . . . | 9 . . |
| 6 . . | . 8 2 | . . . |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

By the way, please note that I do not filter these puzzles in any way. They come from the Menneske site, based only on the rating of "Impossible". http://www.menneske.no/sudoku/eng/

Keith
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JC Van Hay



Joined: 13 Jun 2010
Posts: 372
Location: Charleroi, Belgium

PostPosted: Thu Mar 28, 2013 8:27 am    Post subject: Reply with quote

#1. UP27
Hidden Singles : r3c9=4, r3c3=6, r4c9=9
Naked Single : r3c6=5, r1c6=8
Hidden Single : r2c1=8

LC(1) :=> -1r1c1
LC(4) :=> -4r78c1
Finned XWing(6C69) :=> -6r5c45 ![Optional]
LC(7) :=> -7r8c123
Finned XWing(8C18) :=> -8r4c3 ![Optional]
Skyscraper (9R19) :=> -9r3c3.r7c1 ![Only -9r3c3 required for the loop below]
#2.
Code:
+---------------------------+-----------------------+-------------------------+
| -235(79)  235(7)  6       | 23(9)  4        8     | 12357    1257  1235     |
| 8         235(7)  4       | 236    236      1     | 2357     9     235      |
| 1239      23      123     | 7      23(9)    5     | 6        8     4        |
+---------------------------+-----------------------+-------------------------+
| 12347     8       123     | 5      12367    467   | 127      1267  9        |
| 12357     9       12357   | 1238   1237     (67)  | 12578    4     1258(6)  |
| 12457     6       1257    | 1248   127      9     | 12578    3     1258     |
+---------------------------+-----------------------+-------------------------+
| 25        1       25-8(9) | 46-9   6(59)    3     | 24-5(8)  256   7        |
| 235       2345    2358    | 146    1-6(57)  46(7) | 9        1256  1235(68) |
| 6         345(7)  -35(79) | 149    8        2     | 1345     15    135      |
+---------------------------+-----------------------+-------------------------+
Chain[10] : Loop{9r7c3=(9-7)r9c3=7r9c2-7r12c2=(7-9)r1c1=9r1c4-9r3c5=9r7c5}- ...
            ... -5r7c5=(5-7)r8c5=7r8c6-(7=6)r5c6-6r5c9=(6-8)r8c9=8r7c7

            :=> [r9c3=79, r1c1=79, -9r7c4] ![Optional]
            :=> [7r8c5=6r8c9 :=> -6r8c5], [5r7c5=8r7c7 :=> -5r7c7] ![Optional]
            :=> [9r7c3=8r7c7 :=> -8r7c3 (r7c7=8)]

            :=> UP34; XWing(6C69) :=> -6r8c48[+eventually -6r8c8.r5c45]; UP41
                LC(5)[+eventually LC(7)] :=> r9c2=3; UP81
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arkietech



Joined: 31 Jul 2008
Posts: 1727
Location: Northwest Arkansas USA

PostPosted: Thu Mar 28, 2013 6:04 pm    Post subject: Reply with quote

Code:
 *-----------------------------------------------------------------------------*
 | 23579   2357    6       | 239     4       8       | 12357   1257    1235    |
 | 8       2357    4       | 236     236     1       | 2357    9       235     |
 | 1239    23      1239    | 7       239     5       | 6       8       4       |
 |-------------------------+-------------------------+-------------------------|
 | 12347   8       1237    | 5       12367   467     | 127     1267    9       |
 | 12357   9       12357   | 12368   12367   67      | 12578   4       12568   |
 | 12457   6       1257    | 1248    127     9       | 12578   3       1258    |
 |-------------------------+-------------------------+-------------------------|
 | 259     1       2589    | 469     569     3       | 2458    256     7       |
 | 235     2345    2358    | 146     1567    467     | 9       1256    123568  |
 | 6       3457    3579    | 149     8       2       | 1345    15      135     |
 *-----------------------------------------------------------------------------*
6r5c6-r4c6=(6-7)r4c8=7r1c8
||
7r5c6-r8c6=(7-5)r8c5=(5-9)r7c5=r3c5-r1c4=9r1c1
=> -7r1c1; lclste
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oaxen



Joined: 10 Jul 2006
Posts: 96

PostPosted: Wed Apr 03, 2013 9:23 am    Post subject: Reply with quote

A little bit easier than No 10. There are many bivalues and probably more ways to solve it. I found "9" in row 9 most promising and with parallell chains many digits are fixed in both cases. "9" in R9C4 is correct.
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DonM



Joined: 15 Sep 2009
Posts: 51

PostPosted: Sun Apr 21, 2013 5:20 am    Post subject: Reply with quote

Menneske Impossible 11 ER=7.2 post-SSTS:
Code:
 
*-----------------------------------------------------------------------------*
 | 23579   2357    6       | 239     4       8       | 12357   1257    1235    |
 | 8       2357    4       | 236     236     1       | 2357    9       235     |
 | 1239    23      123     | 7       239     5       | 6       8       4       |
 |-------------------------+-------------------------+-------------------------|
 | 12347   8       1237    | 5       12367   467     | 127     1267    9       |
 | 12357   9       12357   | 12368   12367   67      | 12578   4       12568   |
 | 12457   6       1257    | 1248    127     9       | 12578   3       1258    |
 |-------------------------+-------------------------+-------------------------|
 | 25      1       2589    | 469     569     3       | 2458    256     7       |
 | 235     2345    2358    | 146     1567    467     | 9       1256    123568  |
 | 6       3457    3579    | 149     8       2       | 1345    15      135     |
 *-----------------------------------------------------------------------------*

(9)r3c5=(9-5)r7c5=(5-7)r8c5=r8c6-(7=6)r5c6-r5c9=(6-7)r4c8=r1c8-r2c7=r2c2-r9c2=(7-9)r9c3=(9)r9c4 => -9r1c4 -> r1c1=9
lcste
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