- Code: Select all
*-----------*
|..1|.69|...|
|.35|7.2|...|
|9..|.1.|..6|
|---+---+---|
|2..|.4.|87.|
|...|...|...|
|.84|.9.|..5|
|---+---+---|
|5..|...|..4|
|...|8.6|53.|
|...|47.|9..|
*-----------*
Play/Print this puzzle online
*-----------*
|..1|.69|...|
|.35|7.2|...|
|9..|.1.|..6|
|---+---+---|
|2..|.4.|87.|
|...|...|...|
|.84|.9.|..5|
|---+---+---|
|5..|...|..4|
|...|8.6|53.|
|...|47.|9..|
*-----------*
*--------------------------------------------------------------*
|f78 4 1 | 35 6 9 |e237 258 238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 27 28-7 | 35 1 4 |d37 58 6 |
|--------------------+--------------------+--------------------|
| 2 5 6 | 1 4 3 | 8 7 9 |
| 13-7 9 a37 | 26 5 8 | 1236 4 23 |
|b13 8 4 | 26 9 7 |c13 26 5 |
|--------------------+--------------------+--------------------|
| 5 27 278 | 9 3 1 | 26 268 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
| 38 6 238 | 4 7 5 | 9 1 28 |
*--------------------------------------------------------------*
a78 4 1 | 35 6 9 | 23-7 258 238
6 3 5 | 7 8 2 | 4 9 1
9 2-7 28-7 | 35 1 4 |e37 58 6
---------------------+----------------------+---------------------
2 5 6 | 1 4 3 | 8 7 9
137 9 37 | 26 5 8 | 1236 4 23
c13 8 4 | 26 9 7 |d13 26 5
---------------------+----------------------+---------------------
5 27 278 | 9 3 1 | 26 268 4
4 1 9 | 8 2 6 | 5 3 7
b38 6 238 | 4 7 5 | 9 1 28
*-----------------------------------------------------------*
| 78 4 1 | 5-3 6 9 | 237 258 ag238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 27 278 |h35 1 4 | 37 h58 6 |
*-------------------+-------------------+-------------------|
| 2 5 6 | 1 4 3 | 8 7 9 |
| 137 9 37 | 26 5 8 | 1236 4 b23 |
|d13 8 4 | 26 9 7 |c13 26 5 |
*-------------------+-------------------+-------------------|
| 5 27 278 | 9 3 1 | 26 268 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
|e38 6 238 | 4 7 5 | 9 1 f28 |
*-----------------------------------------------------------*
*------------------------------------------------------------*
| 78 4 1 | 35 6 9 | 237 258 238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 g27 g278 | 35 1 4 | f37 5-8 6 |
*-------------------+-------------------+--------------------|
| 2 5 6 | 1 4 3 | 8 7 9 |
|c137 9 d37 |*26 5 8 |e*1236 4 23 |
|c13 8 4 |*26 9 7 | f13 *26 5 |
*-------------------+-------------------+--------------------|
| 5 27 278 | 9 3 1 | *26 a*268 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
|c38 6 238 | 4 7 5 | 9 1 b28 |
*------------------------------------------------------------*
*------------------------------------------------------------*
|g78 4 1 | 35 6 9 | f237 258 238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 27 278 | 35 1 4 | e37 58 6 |
|-------------------+-------------------+--------------------|
| 2 5 6 | 1 4 3 | 8 7 9 |
| 137 9 37 |*26 5 8 |*c1236 4 23 |
| 13 8 4 |*26 9 7 | d13 *26 5 |
|-------------------+-------------------+--------------------|
| 5 27 278 | 9 3 1 | *26 *b268 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
|h38 6 238 | 4 7 5 | 9 1 ai2-8 |
*------------------------------------------------------------*
+---------------------------------------------------------------+
| 78 4 1 | 35 6 9 | 237 258 238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 27 278 | d35 1 4 | c37 e5-8 6 |
|--------------------+--------------------+---------------------|
| 2 5 6 | 1 4 3 | 8 7 9 |
| 137 9 37 | *26 5 8 | b*26+13 4 23 |
| 13 8 4 | *26 9 7 | b 13 *26 5 |
|--------------------+--------------------+---------------------|
| 5 27 278 | 9 3 1 | *26 a*26+8 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
| 38 6 238 | 4 7 5 | 9 1 28 |
+---------------------------------------------------------------+
# 36 eliminations remain
8r7c8 =DP= (13)r56c7 - 3r3c7 = (3-5)r3c4 = 5r3c8 => -8 r3c8
+----------------+-----------+------------------+
| -8(7) 4 1 | 35 6 9 | 3(27) 258 23(8) |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 27 278 | 35 1 4 | 37 58 6 |
+----------------+-----------+------------------+
| 2 5 6 | 1 4 3 | 8 7 9 |
| 137 9 37 | 26* 5 8 | 26*13 4 23 |
| 13 8 4 | 26* 9 7 | 13 26* 5 |
+----------------+-----------+------------------+
| 5 27 278 | 9 3 1 | 26* 26*8 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
| 38 6 238 | 4 7 5 | 9 1 (28) |
+----------------+-----------+------------------+
+-------------+----------+-------------------+
| 78 4 1 | 35 6 9 | 237 25 238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 2 8-7 | 35 1 4 | (37) 58 6 |
+-------------+----------+-------------------+
| 2 5 6 | 1 4 3 | 8 7 9 |
| 17 9 (37) | 26 5 8 | 126(3) 4 2(3) |
| 13 8 4 | 26 9 7 | 1(3) 26 5 |
+-------------+----------+-------------------+
| 5 7 28 | 9 3 1 | 26 268 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
| 38 6 23 | 4 7 5 | 9 1 28 |
+-------------+----------+-------------------+
+------------+--------+--------------+
| 78 4 1 | 35 6 9 | 237 258 238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 27 278 | 35 1 4 | 37 58 6 |
+------------+--------+--------------+
| 2 5 6 | 1 4 3 | 8 7 9 |
| 137 9 37 | 26 5 8 | 1236 4 23 |
| 13 8 4 | 26 9 7 | 13 26 5 |
+------------+--------+--------------+
| 5 27 278 | 9 3 1 | 26 268 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
| 38 6 238 | 4 7 5 | 9 1 28 |
+------------+--------+--------------+
blue wrote:One using externals 2r1c7 and 2r9c9
eleven wrote:blue wrote:One using externals 2r1c7 and 2r9c9
How can you exclude 2r1c8 ? Don't you need something like 2r1c8->6r6c7->8r7c8->2r9c9 ?
+-----------------+-----------+-------------------+
| (78) 4 1 | 35 6 9 | 3(27) 258 238 |
| 6 3 5 | 7 8 2 | 4 9 1 |
| 9 27 27(8) | 35 1 4 | 37 5-8 6 |
+-----------------+-----------+-------------------+
| 2 5 6 | 1 4 3 | 8 7 9 |
| 137 9 37 | 26* 5 8 | 26*13 4 23 |
| 13 8 4 | 26* 9 7 | 13 26* 5 |
+-----------------+-----------+-------------------+
| 5 27 278 | 9 3 1 | 26* 26*(8) 4 |
| 4 1 9 | 8 2 6 | 5 3 7 |
| 38 6 238 | 4 7 5 | 9 1 28 |
+-----------------+-----------+-------------------+
blue wrote:It went like this:
If 2r1c7 was false, there would be a hidden 26 pair in the DP cells in c7 (eliminating "internals" 13r5c7).
If 2r9c9 was false, there would be a hidden 26 pair in the DP cells in b9 (eliminating "internal" 8r7c8).
If both were false, the combination would produce the DP.