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PostPosted: Wed Apr 29, 2009 11:44 am 
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Grand Master
Grand Master
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Joined: Mon Apr 21, 2008 10:32 am
Posts: 868
All sudoku puzzles in this forum post are the intellectual property of Børge Alexander Tetlie Anderssen.
Copyright © 2009 Børge Alexander Tetlie Anderssen. All rights reserved. Terms of Use.


There are three difficulties to choose from.
All three puzzles have the same solution.
The difficulty levels explained     The ratings explained

A) Novice.
B) Apprentice (mainstream edition).
C) Master. Using basic techniques more than 92% of the puzzle can be solved. The last 8% can be solved using an advanced technique twice in the same grid, consecutively deployed. This is an especially tricky one. :twisted:

   Even when you know the two identical advanced techniques and the grid where they can be deployed, it is tricky to spot the correct deployment.
   Here the puzzle (both as text based candidate grid and image) solved so far (92.3%) that the two identical advanced techniques can be immediately and consecutively deployed.
   Please feel free to start out at this point.
Hidden Text:
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 7 3 4 | 2 9 1 | 6 5 8 | 346 1 7 | 2 3469 69 | 8 5 49 | 1 4 3 | 5 6 2 | 7 8 9 |
| 5 2 9 | 4 6 8 | 3 1 7 | 246 5 48 | 4689 7 1689 | 124 3 149 | 2 8 6 | 3 9 7 | 5 4 1 |
| 1 8 6 | 5 3 7 | 4 9 2 | 234 28 9 | 348 1348 5 | 124 7 6 | 9 5 7 | 8 4 1 | 6 2 3 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 8 5 1 | 9 4 6 | 2 7 3 | 25 28 138 | 3568 3568 4 | 9 16 7 | 5 3 4 | 6 2 9 | 8 1 7 |
| 6 7 3 | 8 5 2 | 1 4 9 | 45 9 14 | 567 2 67 | 16 8 3 | 8 1 2 | 7 3 5 | 9 6 4 |
| 9 4 2 | 1 7 3 | 8 6 5 | 7 6 38 | 1 389 89 | 5 4 2 | 7 6 9 | 1 8 4 | 3 5 2 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 4 1 7 | 3 2 5 | 9 8 6 | 1 37 56 | 45678 4568 2 | 346 9 458 | 3 7 8 | 4 1 6 | 2 9 5 |
| 2 9 5 | 6 8 4 | 7 3 1 | 9 4 2 | 58 16 3 | 7 16 58 | 6 2 1 | 9 5 3 | 4 7 8 |
| 3 6 8 | 7 1 9 | 5 2 4 | 8 37 56 | 45679 14569 1679 | 1346 2 145 | 4 9 5 | 2 7 8 | 1 3 6 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 1 2 4 | 9 3 6 | 8 5 7 | 5 9 6 | 13 13 7 | 4 2 8 | 5 1 3 | 2 9 7 | 8 4 6 |
| 8 5 9 | 7 1 4 | 3 6 2 | 7 2 3 | 8 4 6 | 5 9 1 | 4 7 2 | 1 8 6 | 5 3 9 |
| 7 6 3 | 2 8 5 | 1 9 4 | 1 4 8 | 9 2 5 | 6 7 3 | 8 9 6 | 4 5 3 | 2 7 1 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 5 8 7 | 1 4 2 | 6 3 9 | 2 1 9 | 7 5 4 | 8 3 6 | 1 2 5 | 8 3 4 | 9 6 7 |
| 4 3 6 | 8 9 7 | 5 2 1 | 6 7 4 | 2 8 3 | 1 5 9 | 7 4 8 | 9 6 2 | 3 1 5 |
| 9 1 2 | 5 6 3 | 7 4 8 | 3 8 5 | 6 9 1 | 2 4 7 | 3 6 9 | 7 1 5 | 4 2 8 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 2 9 8 | 3 5 1 | 4 7 6 | 9 5 17 | 4 167 8 | 3 16 2 | 2 8 7 | 6 4 9 | 1 5 3 |
| 3 4 1 | 6 7 9 | 2 8 5 | 8 3 2 | 5 16 9 | 7 16 4 | 6 5 1 | 3 2 8 | 7 9 4 |
| 6 7 5 | 4 2 8 | 9 1 3 | 4 6 17 | 13 137 2 | 9 8 5 | 9 3 4 | 5 7 1 | 6 8 2 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 5 4 8 | 6 7 9 | 2 1 3 | 3 9 1 | 4 6 2 | 8 5 7 | 2 1 6 | 5 3 9 | 8 4 7 |
| 3 6 9 | 1 2 8 | 5 7 4 | 5 8 6 | 7 3 9 | 1 4 2 | 4 9 3 | 8 1 7 | 2 5 6 |
| 7 2 1 | 3 5 4 | 9 8 6 | 4 7 2 | 1 8 5 | 3 9 6 | 5 7 8 | 2 6 4 | 9 1 3 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 9 7 3 | 5 6 1 | 4 2 8 | 8 5 4 | 3 2 6 | 7 1 9 | 7 8 5 | 1 2 6 | 3 9 4 |
| 8 1 6 | 2 4 3 | 7 9 5 | 1 6 9 | 8 5 7 | 4 2 3 | 1 3 9 | 4 7 5 | 6 8 2 |
| 2 5 4 | 8 9 7 | 6 3 1 | 7 2 3 | 9 1 4 | 6 8 5 | 6 4 2 | 9 8 3 | 1 7 5 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+
| 6 3 5 | 9 1 2 | 8 4 7 | 9 3 7 | 5 4 1 | 2 6 8 | 3 2 1 | 7 5 8 | 4 6 9 |
| 4 8 2 | 7 3 6 | 1 5 9 | 2 1 8 | 6 9 3 | 5 7 4 | 9 6 7 | 3 4 1 | 5 2 8 |
| 1 9 7 | 4 8 5 | 3 6 2 | 6 4 5 | 2 7 8 | 9 3 1 | 8 5 4 | 6 9 2 | 7 3 1 |
+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+----------------------+



Image
   The grid where two identical advanced techniques can be used to solve the puzzle:
Hidden Text:
GRID 5
   The two identical advanced techniques, which can be used to solve the puzzle:
Hidden Text:
Uniqueness Test 1
   A mini-mini Walktrough:
Hidden Text:
Image





Image


Regular Clueless Explosion #53A (Novice)

Rating based on required solving techniques:  Moderate

Image

000000008009000300000507400000000070600002009000000800007000006000004000060010500
000200800008400000009005006000004000000000003760100500100000090000003000800000020
003000080000007000007000020000000007800000000009184300000000000600000008095008100
000030000800000002000085004000100000000800500002000048090051000001009000070000903
000000008000006000048020000009000006000200000005001200900400000000500000400002900
000000000000100000096000200100800067000900000000005008000000103000000000934000080
000000010309000000001054006000000400000000700050890000600900000400006000000085062
000000000006009002400085300000006019100000000000904680907000008200000000040270000
200000800000007006508200000000006004000000000042080100000000060000300008054000001



Regular Clueless Explosion #53B (Apprentice)

Rating based on required solving techniques:  Tough

Image

000000008009000300000507400000000070600002009000000800007000006000004000060010500
000200800000400000009005006000004000000000003760100500100000090000003000800000020
003000000000007000007000020000000007800000000009184300000000000600000008095008100
000030000800000002000085004000100000000800500002000048090051000001009000070000903
000000008000006000048020000009000006000200000005001200900400000000500000400002900
000000000000100000096000200100800067000900000000005008000000103000000000934000080
000000010309000000001054006000000400000000700050890000600900000400006000000085062
000000000006009002400085300000006019100000000000904680907000008200000000040270000
200000000000007006508200000000006004000000000042080100000000060000300008054000001



Regular Clueless Explosion 53C (Master)

Rating based on required solving techniques:  Extra Hard

Image

000000008009000300000507400000000070600002009000000800007000006000004000060010500
000200800000000000009005006000004000000000003760100500100000090000003000800000020
003000000000007000007000020000000007800000000009184300000400000600000008095008100
000030000800000002000085004000000000000800500002000048090051000001009000070000903
000000008000006000048020000009000006000200000005001200900000000000500000400002900
000000000000100000096000200100800067000900000000005008000000103000000000934000080
000000010309000000001054006000000400000000700050890000600900000400006000000085062
000000000006009002400085300000006019000000000000904680907000008200000000040270000
000000800000007006508200000000006004000000000042080100000000060000300008054000001

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