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The world is yoURs...(too hard)

 
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immpy



Joined: 06 May 2017
Posts: 199

PostPosted: Wed Mar 14, 2018 3:28 pm    Post subject: The world is yoURs...(too hard) Reply with quote

For all to enjoy, but in particular mtharp (Mike). The title provides a clue, but they can, of course, be bypassed. What will your path be?
I heartily enjoyed this puzzle...

Code:

+-------+-------+-------+
| . . . | . . . | . 2 . |
| . . . | . 3 7 | . 9 1 |
| . 9 . | 1 . 6 | 7 . 8 |
+-------+-------+-------+
| 9 . 2 | 7 . 3 | . . . |
| . . . | . . . | . . . |
| . . . | 5 . 8 | 9 . 4 |
+-------+-------+-------+
| 4 . 7 | 8 . 1 | . 3 . |
| 1 8 . | 3 9 . | . . . |
| . 2 . | . . . | . . . |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

cheers...immp
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 296
Location: Rimini, Italy

PostPosted: Wed Mar 14, 2018 11:28 pm    Post subject: Reply with quote

Hi everyone,

Code:

+------------------+-------------+-------------+
| 567  14567 1456  | 49  8   459 | 456 2    3  |
| 568  456   4568  | 2   3   7   | 456 9    1  |
| 2    9     3     | 1   45  6   | 7   45   8  |
+------------------+-------------+-------------+
| 9    1456  2     | 7   146 3   | 18  1568 56 |
| 5678 14567 14568 | 469 146 49  | 3   1567 2  |
| 67   3     16    | 5   2   8   | 9   167  4  |
+------------------+-------------+-------------+
| 4    56    7     | 8   56  1   | 2   3    9  |
| 1    8     56    | 3   9   2   | 45  456  7  |
| 3    2     9     | 46  7   45  | 18  18   56 |
+------------------+-------------+-------------+

Play this puzzle online at the Daily Sudoku site

XY-Wing 4,5,6 in r37c5,r9c4 and -4 in r1c4

Code:

+------------------+-----------+-------------+
| 567  14567 1456  | 9  8   45 | 456 2    3  |
| 568  456   4568  | 2  3   7  | 456 9    1  |
| 2    9     3     | 1  45  6  | 7   45   8  |
+------------------+-----------+-------------+
| 9    1456  2     | 7  146 3  | 18  1568 56 |
| 5678 14567 14568 | 46 146 9  | 3   1567 2  |
| 67   3     16    | 5  2   8  | 9   167  4  |
+------------------+-----------+-------------+
| 4    56    7     | 8  56  1  | 2   3    9  |
| 1    8     56    | 3  9   2  | 45  456  7  |
| 3    2     9     | 46 7   45 | 18  18   56 |
+------------------+-----------+-------------+

Play this puzzle online at the Daily Sudoku site

XY-Chain r8c7-5-r9c9-6-r9c4-4-r9c6-5-r1c6-4-r3c5-5-r3c8 and -4 in r12c7,r8c8

Ciao Gianni
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Mar 15, 2018 3:20 am    Post subject: Reply with quote

ZeroAssoluto wrote:
Hi everyone,

Code:

+------------------+-------------+-------------+
| 567  14567 1456  | 49  8   459 | 456 2    3  |
| 568  456   4568  | 2   3   7   | 456 9    1  |
| 2    9     3     | 1   45  6   | 7   45   8  |
+------------------+-------------+-------------+
| 9    1456  2     | 7   146 3   | 18  1568 56 |
| 5678 14567 14568 | 469 146 49  | 3   1567 2  |
| 67   3     16    | 5   2   8   | 9   167  4  |
+------------------+-------------+-------------+
| 4    56    7     | 8   56  1   | 2   3    9  |
| 1    8     56    | 3   9   2   | 45  456  7  |
| 3    2     9     | 46  7   45  | 18  18   56 |
+------------------+-------------+-------------+

Play this puzzle online at the Daily Sudoku site

XY-Wing 4,5,6 in r37c5,r9c4 and -4 in r1c4

Code:

+------------------+-----------+-------------+
| 567  14567 1456  | 9  8   45 | 456 2    3  |
| 568  456   4568  | 2  3   7  | 456 9    1  |
| 2    9     3     | 1  45  6  | 7   45   8  |
+------------------+-----------+-------------+
| 9    1456  2     | 7  146 3  | 18  1568 56 |
| 5678 14567 14568 | 46 146 9  | 3   1567 2  |
| 67   3     16    | 5  2   8  | 9   167  4  |
+------------------+-----------+-------------+
| 4    56    7     | 8  56  1  | 2   3    9  |
| 1    8     56    | 3  9   2  | 45  456  7  |
| 3    2     9     | 46 7   45 | 18  18   56 |
+------------------+-----------+-------------+

Play this puzzle online at the Daily Sudoku site

XY-Chain r8c7-5-r9c9-6-r9c4-4-r9c6-5-r1c6-4-r3c5-5-r3c8 and -4 in r12c7,r8c8

Ciao Gianni


From the 2nd grid there's a Kite (5), hinged in b9
5r12c7=5r9c6-r1c6=r3c5=> -5r3c8
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Aj Dimonios



Joined: 01 May 2017
Posts: 325
Location: Sassari Italy

PostPosted: Thu Mar 15, 2018 11:28 am    Post subject: Reply with quote

Hi everyone


Code:

+------------------+-------------+-------------+
| 567  14567 1456  | 49  8   459 | 456 2    3  |
| 568  456   4568  | 2   3   7   | 456 9    1  |
| 2    9     3     | 1   45  6   | 7   45   8  |
+------------------+-------------+-------------+
| 9    1456  2     | 7   146 3   | 18  1568 56 |
| 5678 14567 14568 | 469 146 49  | 3   1567 2  |
| 67   3     16    | 5   2   8   | 9   167  4  |
+------------------+-------------+-------------+
| 4    56    7     | 8   56  1   | 2   3    9  |
| 1    8     56    | 3   9   2   | 45  456  7  |
| 3    2     9     | 46  7   45  | 18  18   56 |
+------------------+-------------+-------------+

Play this puzzle online at the Daily Sudoku site

Resolution in one step. It is not very demanding to prove the falsity of R1C6= 5. Its elimination solves the scheme.
When the 5 at r1c6 is true, the 5 at r3c8 is both true and false, so 5 at r1c6 must be false:
chain1 = (5)r1c6 5r3c5=5r3c8
chain 2 = (5)r1c6 5 r9c6=5r9c9-5r4c9=5r45c8-5r3c8
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immpy



Joined: 06 May 2017
Posts: 199

PostPosted: Mon Apr 16, 2018 3:33 am    Post subject: Reply with quote

In the first grid there is a Type 6 UR (on 49) that caught my eye @ r1c46 and r5c46. Hence r1c6<>9; and makes two placements of 9 (@r1c4 and r5c6). But the XY-Wing -456 pointed out by Gianni does essentially the same thing. Beautiful!
In the second grid I again went for another UR (Type 1?) on (18) @r4c78 and r9c78, which means that r4c8<>1&8 (pseudo cell 56 subset). This moves things along nicely.
After the rinse there was yet another UR (Type2?) to be found on 58 with subset of 46....r2c3<>5&8.
And then an X-Wing -456....r2c7<>4. And I actually finished with a BUG+2 r3c8<>5 (=4!) and r8c7<>5 (=4!).

Since this was my path, I based the title of this post on that.

Nice job of solving by everyone and thanks for posting them.

cheers....immp
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arkietech



Joined: 31 Jul 2008
Posts: 1830
Location: Northwest Arkansas USA

PostPosted: Mon Apr 16, 2018 5:32 pm    Post subject: Reply with quote

Code:
 *--------------------------------------------------------------------*
 | 567    14567  1456   | 49     8      459    | 456    2      3      |
 | 568    456    4568   | 2      3      7      | 456    9      1      |
 | 2      9      3      | 1     a45     6      | 7     b45     8      |
 *----------------------+----------------------+----------------------|
 | 9      1456   2      | 7      146    3      | 18     1568   56     |
 | 5678   14567  14568  | 469    146    49     | 3      1567   2      |
 | 67     3      16     | 5      2      8      | 9      167    4      |
 *----------------------+----------------------+----------------------|
 | 4      56     7      | 8      6-5    1      | 2      3      9      |
 | 1      8      56     | 3      9      2      | 45    c456    7      |
 | 3      2      9      | 46     7     e45     | 18     18    d56     |
 *--------------------------------------------------------------------*
[(5=4)r3c5-r3c7=(4-6)r8c8-(6-5)r9c9=5r9c6]-5r7c5; ste


Good Puzzle Very Happy
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