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Ajò Dimonios
Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
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 Posted: Wed May 10, 2017 11:16 pm Post subject: very extreme puzzle |
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| Code: |
+---------------------+-----------------+--------------------+
| 2358 589 6 | 458 7 138 | 1349 12359 12459 |
| 357 1 359 | 2 345 36 | 34679 35679 8 |
| 4 578 2358 | 568 1358 9 | 1367 123567 12567 |
+---------------------+-----------------+--------------------+
| 5678 456789 4589 | 1 489 678 | 2 5679 3 |
| 1267 3 1249 | 4679 249 5 | 8 1679 1679 |
| 125678 56789 12589 | 6789 2389 23678 | 1679 4 15679 |
+---------------------+-----------------+--------------------+
| 9 568 1358 | 578 1258 4 | 1367 123678 1267 |
| 168 2 148 | 3 189 178 | 5 16789 14679 |
| 1358 458 7 | 589 6 128 | 1349 12389 1249 |
+---------------------+-----------------+--------------------+
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It takes more days to solve it
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Ajò Dimonios
Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
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| Posted: Thu May 11, 2017 12:14 pm Post subject: |
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| Code: |
+-----------------+---------------+------------------+
| 2358 589 6 | 458 7 138 | 1349 1235 12459 |
| 357 1 359 | 2 345 36 | 4679 35679 8 |
| 4 578 2358 | 568 1358 9 | 1367 1235 12567 |
+-----------------+---------------+------------------+
| 5678 4679 4589 | 1 489 678 | 2 5679 3 |
| 1267 3 1249 | 4679 249 5 | 8 1679 679 |
| 1258 56789 1258 | 6789 238 238 | 1679 4 15679 |
+-----------------+---------------+------------------+
| 9 568 1358 | 578 1258 4 | 1367 1238 1267 |
| 168 2 148 | 3 189 178 | 5 16789 4679 |
| 1358 458 7 | 589 6 128 | 1349 1238 1249 |
+-----------------+---------------+------------------+
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As a first step you can use the multifish technique.
Multi-Fish pattern with base set of 4,6,7 and 9
16 Truths = {4679R2, 4679R4, 4679R5, 4679R8}
16 Links = {67c1, 49c3, 49c5, 67c6, 679c8, R2C7, R4C2, R5C4, R5C9, R8C9}
17 Eliminations: R2C7<>3, R4C2<>5, R4C2<>8, R5C9<>1, R8C9<>1, R1C8<>9, R3C8<>6, R3C8<>7, R6C1<>6, R6C1<>7, R6C3<>9, R6R5<>9, R6C6<>6, R6C6<>7, R7C8<>6, R7C8<>7, R9C8<>9
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Ajò Dimonios
Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
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| Posted: Fri May 12, 2017 11:32 am Post subject: |
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| Code: |
+----------------+--------------+-----------------+
| 2358 589 6 | 4 7 138 | 139 1235 1259 |
| 357 1 359 | 2 35 6 | 4 79 8 |
| 4 578 235 | 58 1358 9 | 1367 1235 12567 |
+----------------+--------------+-----------------+
| 5678 4679 4589 | 1 489 78 | 2 5679 3 |
| 1267 3 1249 | 679 249 5 | 8 1679 679 |
| 1258 679 1258 | 679 238 23 | 1679 4 15679 |
+----------------+--------------+-----------------+
| 9 68 1358 | 578 1258 4 | 1367 1238 1267 |
| 168 2 148 | 3 189 178 | 5 679 4679 |
| 1358 458 7 | 589 6 128 | 139 1238 1249 |
+----------------+--------------+-----------------+
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Multi-Fish pattern with base set of 4,6,7 and 9
19 Truths = {4679R1, 4679R3, 4679R4, 679R5, 4679R7}
19 Links = {67c0, 49c2, 49c4, 67c5, 1n6, 1n7, 3n1, 4n3, 5n1, 5n3, 7n7, 7n8, 679b6}
7 Eliminations: R2C8<>3, R2C8<>5,R6C2<>5,R6C2<>8, R6C4<>8, R8C8<>1,R8C8<>8
If 5 is true in r7c2 then the 8 at r1c2 is both true and false, hence 5 is false and can be eliminated
If 6 is true in r2c7 then the 1 at r7c9 is both true and false, hence 6 is false and can be eliminated
If 3 is true in r2c6 then the 4 at r1c9 is both true and false, hence 3 is false and can be eliminated
If 4 is false in r1c4 then the 6 at r6c4 is both true and false, hence 4 must be true in r1c4
Finned swordfish of 8s at r1c2, r3c2, r3c4, r7c2, r7c4, r7c8, r9c2, r9c4, r9c8 eliminating 8 from r3c3
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JC Van Hay
Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium
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| Posted: Fri May 12, 2017 6:06 pm Post subject: |
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| Code: | +------------------------+---------------------+------------------------+
| 2358 (589) 6 | (458) 7 138 | 1349 12359 12459 |
| (357) 1 (359) | 2 (345) (36) | 4679-3 679-35 8 |
| 4 (578) 2358 | (568) 1358 9 | 1367 123567 12567 |
+------------------------+---------------------+------------------------+
| 5678 4679-58 4589 | 1 489 678 | 2 5679 3 |
| 1267 3 1249 | 4679 249 5 | 8 1679 1679 |
| 125678 679-58 12589 | 679-8 2389 23678 | 1679 4 15679 |
+------------------------+---------------------+------------------------+
| 9 (568) 1358 | (578) 1258 4 | 1367 123678 1267 |
| (168) 2 (148) | 3 (189) (178) | 5 679-18 4679-1 |
| 1358 (458) 7 | (589) 6 128 | 1349 12389 1249 |
+------------------------+---------------------+------------------------+ |
Continuous All Cell Loop :
The set P={R1379C24, R28C1345} of 16 cells is a proper subset of
the set C={(58)C24, (35)R2, (18)R8, (46)B27, (78)B18} of 16 constraints.
Therefore, the set C-P={(58)r46c2, 8r6c4, 3r2c78, 5r2c8, 1r8c89, 8r8c8} of 11 candidates is excluded.
Note :
r13c2=79 -> r2c56=46 -> r78c4=79 -> r8c13=64 -> r13c2=79
r2c13=79 -> r79c2=46 -> r8c56=79 -> r13c4=46 -> r2c13=79
Solving P :
1. 7r3c2 + 9r1c2 -> 0 solution [r6c24=6!?]
2. 7r2c1 + 9r2c3 -> 0 solution [r28c8=6!?]
3a. 7r3c2 + 9r2c3 + 4r2c5 -> 0 solution
3b. 7r3c2 + 9r2c3 + 4r1c4 + 4r9c2 -> 0 solution
3c. 7r3c2 + 9r2c3 + 4r1c4 + 4r8c3 -> 0 solution via HP(23)r6c56, LC{8B5}, NP(69)r48c8 and Swordfish{8R18C4}
4a. 7r2c1 + 9r1c2 + 4r2c5 + 4r9c2 -> 0 solution
4b. 7r2c1 + 9r1c2 + 4r2c5 + 4r8c3 -> 0 solution
4c. 7r2c1 + 9r1c2 + 4r1c4 + 4r9c2 -> 0 solution
4d. 7r2c1 + 9r1c2 + 4r1c4 + 4r8c3 + 7r8c6 -> 0 solution
4e. 7r2c1 + 9r1c2 + 4r1c4 + 4r8c3 + 7r7c4 -> 1 solution via XWing{3C37} |
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Ajò Dimonios
Joined: 01 May 2017
Posts: 339
Location: Sassari Italy
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| Posted: Fri May 12, 2017 10:36 pm Post subject: |
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I continue from my previous post
If R1C1=3 produces contradiction two 1 in column7 then R1C1<>3
If R9C4=5 produces contradiction R7C5 empty then R9C4<>5
If R7C2=8 produces contradiction R1C7 empty then R7C2<>8
If R7C3=8 produces contradiction R1C9 empty then R7C3<>8
If R8C1=1 produces contradiction R3C3 empty then R8C1<>1
If R8C5=1 produces contradiction R5C3 empty then R8C5<>1
solution with basic strategies
| Code: |
+---------------+--------------+-----------------+
| 25 589 6 | 4 7 138 | 139 1235 1259 |
| 357 1 359 | 2 35 6 | 4 79 8 |
| 4 578 235 | 58 1358 9 | 1367 1235 12567 |
+---------------+--------------+-----------------+
| 567 479 4589 | 1 48 78 | 2 5679 3 |
| 1267 3 1249 | 679 24 5 | 8 1679 679 |
| 125 79 1258 | 679 238 238 | 1679 4 15679 |
+---------------+--------------+-----------------+
| 9 6 135 | 578 1258 4 | 137 1238 127 |
| 8 2 14 | 3 9 17 | 5 67 467 |
| 135 45 7 | 8 6 128 | 139 1238 1249 |
+---------------+--------------+-----------------+
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