數獨問題 - 數獨
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By Eden
at 2009-07-01T11:06
at 2009-07-01T11:06
Table of Contents
.-------------------.-------------------.--------------------.
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 679 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+-------------------+--------------------:
| 6 245 9 | 3457 37 1 | 24578 3458 2457 |
| 478 145 3 | 4567 2 4678 | 9 458 1457 |
| 2478 1245 12578 | 9 37 478 | 124578 3458 6 |
:-------------------+-------------------+--------------------:
| 28 3 268 | 2467 5 24679 | 4678 1 479 |
| 1 256 4 | 267 679 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'-------------------'--------------------'
原題, 解題開始
.-------------------.-------------------.--------------------.
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 679 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+-------------------+--------------------:
| 6 245 9 | 3457 37 1 | 24578 3458 2457 |
| 478 145 3 | 4567 2 4678 | 9 458 1457 |
| 2478 1245 12578 | 9 37 478 | 124578 3458 6 |
:-------------------+-------------------+--------------------:
| 28 3 268 | 2467 5 24679 | 4678 1 479 |
| 1 256 4 | 267 679 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'-------------------'--------------------'
(37)只能在綠色位置 可刪除紅色的(37)
.-------------------.------------------.--------------------.
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 69 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+------------------+--------------------:
| 6 245 9 | 45 37 1 | 24578 3458 2457 |
| 478 145 3 | 456 2 468 | 9 458 1457 |
| 2478 1245 12578 | 9 37 48 | 124578 3458 6 |
:-------------------+------------------+--------------------:
| 28 3 268 | 2467 5 24679 | 4678 1 479 |
| 1 256 4 | 267 69 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'------------------'--------------------'
8 一定出現在第七宮第七列 可刪除 8
4 一定出現在第八宮第七列 可刪除 4
8 一定出現在第六宮第四列 可刪除 8
.-------------------.------------------.-------------------.
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 69 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+------------------+-------------------:
| 6 245 9 | 45 37 1 | 24578 3458 2457 |
| 478 145 3 | 456 2 468 | 9 45 1457 |
| 2478 1245 12578 | 9 37 48 | 12457 345 6 |
:-------------------+------------------+-------------------:
| 28 3 268 | 2467 5 24679 | 67 1 79 |
| 1 256 4 | 267 69 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'------------------'-------------------'
6 在第二行 第五行 能放的位置出現矩形 第二列第八列其他位置刪除 6
接下來沒難度了(列出後來兩個步驟)
.-------------------.-----------------.-------------------.
| 234 9 126 | 1236 8 5 | 124 7 124 |
| 5 1246 127 | 127 69 279 | 3 49 8 |
| 237 8 127 | 1237 4 279 | 125 6 1259 |
:-------------------+-----------------+-------------------:
| 6 245 9 | 45 37 1 | 24578 3458 2457 |
| 478 145 3 | 456 2 468 | 9 45 1457 |
| 2478 1245 12578 | 9 37 48 | 12457 345 6 |
:-------------------+-----------------+-------------------:
| 28 3 268 | 2467 5 24679 | 67 1 79 |
| 1 256 4 | 27 69 279 | 578 589 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'-----------------'-------------------'
(279)必在綠色範圍
.---------------.---------------.----------------.
| 23 9 6 | 123 8 5 | 4 7 12 |
| 5 4 127 | 127 6 27 | 3 9 8 |
| 237 8 127 | 1237 4 9 | 125 6 125 |
:---------------+---------------+----------------:
| 6 25 9 | 45 37 1 | 258 3458 257 |
| 478 15 3 | 456 2 468 | 9 45 157 |
| 478 125 78 | 9 37 48 | 125 345 6 |
:---------------+---------------+----------------:
| 28 3 28 | 46 5 46 | 7 1 9 |
| 1 6 4 | 27 9 27 | 58 58 3 |
| 9 7 5 | 8 1 3 | 6 2 4 |
'---------------'---------------'----------------'
(478)必在綠色範圍
.---------.---------.---------.
| 3 9 6 | 2 8 5 | 4 7 1 |
| 5 4 2 | 1 6 7 | 3 9 8 |
| 7 8 1 | 3 4 9 | 2 6 5 |
:---------+---------+---------:
| 6 5 9 | 4 7 1 | 8 3 2 |
| 8 1 3 | 5 2 6 | 9 4 7 |
| 4 2 7 | 9 3 8 | 1 5 6 |
:---------+---------+---------:
| 2 3 8 | 6 5 4 | 7 1 9 |
| 1 6 4 | 7 9 2 | 5 8 3 |
| 9 7 5 | 8 1 3 | 6 2 4 |
'---------'---------'---------'
答案
--
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 679 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+-------------------+--------------------:
| 6 245 9 | 3457 37 1 | 24578 3458 2457 |
| 478 145 3 | 4567 2 4678 | 9 458 1457 |
| 2478 1245 12578 | 9 37 478 | 124578 3458 6 |
:-------------------+-------------------+--------------------:
| 28 3 268 | 2467 5 24679 | 4678 1 479 |
| 1 256 4 | 267 679 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'-------------------'--------------------'
原題, 解題開始
.-------------------.-------------------.--------------------.
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 679 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+-------------------+--------------------:
| 6 245 9 | 3457 37 1 | 24578 3458 2457 |
| 478 145 3 | 4567 2 4678 | 9 458 1457 |
| 2478 1245 12578 | 9 37 478 | 124578 3458 6 |
:-------------------+-------------------+--------------------:
| 28 3 268 | 2467 5 24679 | 4678 1 479 |
| 1 256 4 | 267 679 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'-------------------'--------------------'
(37)只能在綠色位置 可刪除紅色的(37)
.-------------------.------------------.--------------------.
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 69 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+------------------+--------------------:
| 6 245 9 | 45 37 1 | 24578 3458 2457 |
| 478 145 3 | 456 2 468 | 9 458 1457 |
| 2478 1245 12578 | 9 37 48 | 124578 3458 6 |
:-------------------+------------------+--------------------:
| 28 3 268 | 2467 5 24679 | 4678 1 479 |
| 1 256 4 | 267 69 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'------------------'--------------------'
8 一定出現在第七宮第七列 可刪除 8
4 一定出現在第八宮第七列 可刪除 4
8 一定出現在第六宮第四列 可刪除 8
.-------------------.------------------.-------------------.
| 234 9 126 | 1236 8 5 | 1246 7 124 |
| 5 1246 1267 | 1267 69 2679 | 3 469 8 |
| 237 8 1267 | 12367 4 2679 | 1256 569 1259 |
:-------------------+------------------+-------------------:
| 6 245 9 | 45 37 1 | 24578 3458 2457 |
| 478 145 3 | 456 2 468 | 9 45 1457 |
| 2478 1245 12578 | 9 37 48 | 12457 345 6 |
:-------------------+------------------+-------------------:
| 28 3 268 | 2467 5 24679 | 67 1 79 |
| 1 256 4 | 267 69 2679 | 5678 5689 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'------------------'-------------------'
6 在第二行 第五行 能放的位置出現矩形 第二列第八列其他位置刪除 6
接下來沒難度了(列出後來兩個步驟)
.-------------------.-----------------.-------------------.
| 234 9 126 | 1236 8 5 | 124 7 124 |
| 5 1246 127 | 127 69 279 | 3 49 8 |
| 237 8 127 | 1237 4 279 | 125 6 1259 |
:-------------------+-----------------+-------------------:
| 6 245 9 | 45 37 1 | 24578 3458 2457 |
| 478 145 3 | 456 2 468 | 9 45 1457 |
| 2478 1245 12578 | 9 37 48 | 12457 345 6 |
:-------------------+-----------------+-------------------:
| 28 3 268 | 2467 5 24679 | 67 1 79 |
| 1 256 4 | 27 69 279 | 578 589 3 |
| 9 7 56 | 8 1 3 | 456 2 45 |
'-------------------'-----------------'-------------------'
(279)必在綠色範圍
.---------------.---------------.----------------.
| 23 9 6 | 123 8 5 | 4 7 12 |
| 5 4 127 | 127 6 27 | 3 9 8 |
| 237 8 127 | 1237 4 9 | 125 6 125 |
:---------------+---------------+----------------:
| 6 25 9 | 45 37 1 | 258 3458 257 |
| 478 15 3 | 456 2 468 | 9 45 157 |
| 478 125 78 | 9 37 48 | 125 345 6 |
:---------------+---------------+----------------:
| 28 3 28 | 46 5 46 | 7 1 9 |
| 1 6 4 | 27 9 27 | 58 58 3 |
| 9 7 5 | 8 1 3 | 6 2 4 |
'---------------'---------------'----------------'
(478)必在綠色範圍
.---------.---------.---------.
| 3 9 6 | 2 8 5 | 4 7 1 |
| 5 4 2 | 1 6 7 | 3 9 8 |
| 7 8 1 | 3 4 9 | 2 6 5 |
:---------+---------+---------:
| 6 5 9 | 4 7 1 | 8 3 2 |
| 8 1 3 | 5 2 6 | 9 4 7 |
| 4 2 7 | 9 3 8 | 1 5 6 |
:---------+---------+---------:
| 2 3 8 | 6 5 4 | 7 1 9 |
| 1 6 4 | 7 9 2 | 5 8 3 |
| 9 7 5 | 8 1 3 | 6 2 4 |
'---------'---------'---------'
答案
--
Tags:
數獨
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