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VH+ 052317

 
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immpy



Joined: 06 May 2017
Posts: 570

PostPosted: Tue May 23, 2017 10:05 am    Post subject: VH+ 052317 Reply with quote

Enjoy the journey...

Code:

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

Play this puzzle online at the Daily Sudoku site
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Tue May 23, 2017 12:22 pm    Post subject: Reply with quote

Basics :
5 singles : L3C2=6, L3C1=7, L3C8=L4C7=4, L4C8=6
{2B2, 3B2, 5B2, 5R8C9B5, 8C28, (48)C3, 7B7, 9R3, 9R19, (89)C8, (89)R7, (23)R2, (69)C7}
|
V
-{2r1c79, 3r3c9, 5r1c13, 5r157c4, 5r5c18, 5r7c8, 8r2c39, 8r7c9, (19)r1c3, (79)r9c3, 7r8c4, 9r1c45, 9r2457c1, 9r2c7, (23)r2c8, 2r7c8, (124)r7c2, 1r2c79, 1r1c7, (23)r9c7}
2 singles : L6C7=1, L5C2=4
{1R2, 7B4, 9B4, (27)C2, (79)R5} -> -{1r1c1, 7r6c4, 9r4c4, 1r8c2, (13)r5c4, (135)r5c5}
{(15)r17c5} -> -{1r3c5}
Code:
+---------------+----------------+---------------+
| 49   3    48  | 128   15  125  | 69  7    168  |
| 15   189  159 | 4     6   7    | 23  89   23   |
| 7    6    2   | 1389  39  13   | 5   4    18   |
+---------------+----------------+---------------+
| 135  19   159 | 135   2   8    | 4   6    7    |
| 123  4    6   | 79    79  135  | 8   23   235  |
| 8    27   57  | 35    4   6    | 1   235  9    |
+---------------+----------------+---------------+
| 124  89   3   | 126   15  1245 | 7   89   256  |
| 6    27   17  | 1235  8   9    | 23  235  4    |
| 249  5    48  | 2367  37  234  | 69  1    2368 |
+---------------+----------------+---------------+


Analysis of the puzzle from (49)L1C1
1. 4r1c1 -> 23 singles; {1R157} -> -{1r24c1}; 3 singles; BUG+2 :
Code:
+-------------+------------+--------------+
| 4   3   8   | 2   15  15 | 9   7    6   |
| 5   19  19  | 4   6   7  | 23  8    23  |
| 7   6   2   | 8   9   3  | 5   4    1   |
+-------------+------------+--------------+
| 3   19  159 | 15  2   8  | 4   6    7   |
| 12  4   6   | 9   7   15 | 8   23   235 |
| 8   27  57  | 3   4   6  | 1   25   9   |
+-------------+------------+--------------+
| 12  8   3   | 6   15  4  | 7   9    25  |
| 6   27  17  | 15  8   9  | 23  235  4   |
| 9   5   4   | 7   3   2  | 6   1    8   |
+-------------+------------+--------------+
a. 4r1c1 + 1r4c3 -> 1 solution
b. 4r1c1 + 5r4c3 -> 2 solutions [DP(23)r2c79.r5c89.r8c78]
c. 4r1c1 + 9r4c3 -> 1 solution
2. 9r1c1 -> BUG+1 : 3 solutions
Code:
+------------+-------------+-----------+
| 9   3   4  | 128  15  25 | 6  7   18 |
| 15  8   15 | 4    6   7  | 2  9   3  |
| 7   6   2  | 18   9   3  | 5  4   18 |
+------------+-------------+-----------+
| 35  1   9  | 35   2   8  | 4  6   7  |
| 23  4   6  | 9    7   1  | 8  23  5  |
| 8   27  57 | 35   4   6  | 1  23  9  |
+------------+-------------+-----------+
| 14  9   3  | 6    15  45 | 7  8   2  |
| 6   27  17 | 12   8   9  | 3  5   4  |
| 24  5   8  | 7    3   24 | 9  1   6  |
+------------+-------------+-----------+
Conclusion : the puzzle has 7 solutions
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