#269 on mith's list of 972 T&E(3) puzzles
- Code: Select all
.23....894.6......78............5.9....92..51...3.12.83..5...1....89..23....13..5
.--------------------.------------------.-----------------.
| 15 2 3 | 1467 4567 467 | 14567 8 9 |
| 4 159 6 | 127 3578 2789 | 157 37 27 |
| 7 8 159 | 1246 3456 2469 | 1456 346 246 |
:--------------------+------------------+-----------------:
| 1268 13467 12478 |#467 4678 5 | 3467 9 #467 |
| 68 3467 478 | 9 2 #467+8|#467+3 5 1 |
| 569 45679 4579 | 3 #467 1 | 2 #467 8 |
:--------------------+------------------+-----------------:
| 3 4679 24789 | 5 #467 2467 | 89 1 #467 |
| 156 14567 1457 | 8 9 #467 |#467 2 3 |
| 2689 4679 24789 |#467+2 1 3 | 89 #467 5 |
'--------------------'------------------'-----------------'
TH 467b5689, internals A={8r5c6, 3r5c7, 2r9c4}
- Code: Select all
.--------------------.------------------.-----------------.
| 15 2 3 | 1467 4567 467 | 14567 8 9 |
| 4 159 6 | 127 3578 2789 | 157 37 27 |
| 7 8 159 | 1246 3456 2469 | 1456 346 246 |
:--------------------+------------------+-----------------:
| 1268 13467 12478 |#467 4678 5 |#467+3 9 #467 |
| 68 #467+3 478 | 9 2 #467+8| 3467 5 1 |
| 569 45679 4579 | 3 #467 1 | 2 #467 8 |
:--------------------+------------------+-----------------:
| 3 #467+9 24789 | 5 #467 2467 | 89 1 #467 |
| 156 14567 1457 | 8 9 #467 |#467 2 3 |
| 2689 #467+9 24789 |#467+2 1 3 | 89 #467 5 |
'--------------------'------------------'-----------------'
DP 467c2b5689, internals B={3r4c7, 3r5c2, 8r5c6, 9r79c2, 2r9c4}
(different morph than in my previous post, the digit in r5c6 is in c2 forced into r79c2, and then in r8 into r8c7
if then r4c4 and r7c9 contain the same digit, b8 is broken, if they contain different digits, b6 is broken)
The 3s in A and B are mutually exclusive => one of the other guardians must be true.
| 8r5c6
| 9r79c2 – 9r2c2 = 9r2c6
| 2r9c4 – 2r7c6 = 29r23c6
=> -8r2c6
We finish with eleven's pattern:
- Code: Select all
.-----------------.-----------------.---------------.
| 1 2 3 |#467 5 #467 |#467 8 9 |
| 4 59 6 | 127 8 279 | 15 3 27 |
| 7 8 59 | 1246 3 2469 | 15 46 246 |
:-----------------+-----------------+---------------:
| 28 1 28 |#467 #467 5 | 3 9 #467 |
| 6 3 47 | 9 2 8 |#47 5 1 |
| 9 457 457 | 3 #467 1 | 2 #467 8 |
:-----------------+-----------------+---------------:
| 3 4679 24789 | 5 #467 2467 | 89 1 #467 |
| 5 467 1 | 8 9 #467 |#467 2 3 |
| 28 4679 24789 |#2–467 1 3 | 89 #467 5 |
'-----------------'-----------------'---------------'
DP 467r1b5689 => –467r9c4, stte
