this one seems easy to solve using 236 placements
EDIT
my detailed proposal for this puzzle
I use the reduced map for digits 236.
extra digits are marked after a multi floors analysis (not used)
+ unknown status
* one is true
- none is true.[*]
- Code: Select all
| 236 236 | *236 -236| |
| | | 2 3 6 |
| 236 | 236 236 | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 *2 | *2 | 6 3 |
| *236 -236| -236 -236| *2 *2 |
| 236 *236| 236 *236| *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| 236 | 236 | *3 -26 |
| 236 | 236 | +3 +26 |
| 236 | 236 | +3 +26 *2 |
we see what happen in cells with only the 3 digits with r1c2=a r1c3=b r3c1=c
I try r7c5 = a;b;c
- Code: Select all
| a b | *236 -236| |
| | | 2 3 6 |
| c | 236 236 | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 *2 | *2 | 6 3 |
| *236 -236| -236 -236| *2 *2 |
| 236 *236| 236 *236| *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| 236 | 236 | *3 -26 |
| 236 | 236 | +3 +26 |
| 236 | 236 | +3 +26 *2 |
if r7c5=a
- Code: Select all
| a b | *236 -236| |
| | | 2 3 6 |
| c | a b | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 *2 | *2 | 6 3 |
| *236 -236| -236 -236| *2 *2 |
| b *236| c *236| *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| b | a | *3 -26 |
| c | 236 | +3 +26 |
| 236 | b | +3 +26 *2 |
locked in r8c6
if r7c5=b
- Code: Select all
| a b | *236 -236| |
| | | 2 3 6 |
| c | b a | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 *2 | *2 | 6 3 |
| *236 -236| -236 -236| *2 *2 |
| c *236| 236 *236| *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| a | b | *3 -26 |
| b | 236 | +3 +26 |
| c | a | +3 +26 *2 |
locked in r6c4
so must be r7c5=c- Code: Select all
| a b | *236 -236| |
| | | 2 3 6 |
| c | ab ab | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 *2 | *2 | 6 3 |
| *236 -236| -236 -236| *2 *2 |
| 236 *236| 236 *236| *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| 236 | c | *3 -26 |
| 236 | 236 | +3 +26 |
| 236 | ab | +3 +26 *2 |
-> r6c4=c
- Code: Select all
| a b | *236 -236| |
| | | 2 3 6 |
| c | a b | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 *2 | *2 | 6 3 |
| *236 -236| -236 -236| *2 *2 |
| b *236| c *236| *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| b | c | *3 -26 |
| c | a | +3 +26 |
| a | b | +3 +26 *2 |
must be r1c6=c r1c5=5 then r5c5=a- Code: Select all
| a b | 5 c | |
| | | 2 3 6 |
| c | a b | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 *2 | *2 | 6 3 |
| *236 -236| a -236| *2 *2 |
| b *236| c *236| *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| b | c | *3 -26 |
| c | a | +3 +26 |
| a | b | +3 +26 *2 |
r6c3#c r6c6#b =>
a=2 in box 6
- Code: Select all
| a b | 5 c | |
| | | 2 3 6 |
| c | a b | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| -2 * | * | 6 3 |
| *36 -36 | a -36 | * * |
| b * | c * | *2 -2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| b | c | *3 -26 |
| c | a | +3 +6 |
| a | b | +3 +6 * |
r4c1=2 r5c1='*' r7c8=2
- Code: Select all
| 2 b | 5 c | |
| | | 2 3 6 |
| c | 2 b | |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| 2 * | * | 6 3 |
| * 36 | 2 36 | * * |
| b * | c * | * 2 |
|+++++++++++++++|+++++++++++++++|+++++++++++++++|
| b | c | * 2 |
| c | 2 | +3 +6 |
| 2 | b | +3 +6 * |
the puzzle is now stte moving the results in the PM