.....685..64.8.1.7.8.3..9..843.975...9....478.754283.945...278.7..85.69...87..2.5
Code:
`1239 1237 `12379 | `129 `147 ````6 | ``8 ```5 `2347
`2359 ```6 `````4 | `259 ```8 ```59 | ``1 ``23 ``237
`1259 ```8 ``1279 | ```3 `147 `1459 | 249 `246 `2467
------------------+-----------------+----------------
````8 1234 ``1236 | ``16 ```9 ````7 | ``5 1246 `1246
`1236 ```9 ``1236 | 1568 `136 `1358 | `24 ```7 12468
```16 ``17 `````5 | ```4 ```2 ```18 | ``3 ``16 ````9
------------------+-----------------+----------------
````4 ```5 ``1369 | `169 `136 ````2 | ``7 ```8 ```13
````7 `123 ``1238 | ``18 ```5 `1348 | ``6 ```9 `1234
12369 `123 123689 | ```7 1346 13489 | `24 1234 12345
single niches: _[4]_ <cb> r4c2 _[5]_ <rcb> r9c9 _[7]_ <r> r2c9 <rb> r6c2 _[8]_ <cb> r5c9 <r> r6c6 _[9]_ <cb> r3c7
single niches: _[3]_ <r> r4c3 _[4]_ <rb> r5c7 _[8]_ <cb> r8c4 <r> r9c3
Code:
1239 123 1279 | 129 `147 ```6 | 8 ``5 234
2359 ``6 ```4 | 259 ```8 ``59 | 1 `23 ``7
`125 ``8 `127 | ``3 `147 `145 | 9 246 246
--------------+---------------+-----------
```8 ``4 ```3 | `16 ```9 ```7 | 5 126 126
`126 ``9 `126 | 156 `136 `135 | 4 ``7 ``8
``16 ``7 ```5 | ``4 ```2 ```8 | 3 `16 ``9
--------------+---------------+-----------
```4 ``5 `169 | 169 `136 ```2 | 7 ``8 `13
```7 123 ``12 | ``8 ```5 `134 | 6 ``9 134
1369 `13 ```8 | ``7 1346 1349 | 2 134 ``5
trios: [ 123 ] <b> _b7p568_ b7p37
b7 is the 7th box, where the boxes are numbered typewriter fashion
1 2 3
4 5 6
7 8 9
p568 are the fifth, sixth, and eighth positions in the box again in the same typewriter coordinates.
rb bc claims: [3] _r89c2_ <bc> r1c2
fish fins: [ !=4 ] <r18> _r3c6_ _r9c5_
r3c6 and r9c5 cannot have a 4 as a candidate, because that would case r1 and r8 to both have to have 4 as a candidate in only column 8.
Code:
1239 `12 1279 | 129 147 ```6 | 8 ``5 234
2359 ``6 ```4 | 259 ``8 ``59 | 1 `23 ``7
`125 ``8 `127 | ``3 147 ``15 | 9 246 246
--------------+--------------+-----------
```8 ``4 ```3 | `16 ``9 ```7 | 5 126 126
`126 ``9 `126 | 156 136 `135 | 4 ``7 ``8
``16 ``7 ```5 | ``4 ``2 ```8 | 3 `16 ``9
--------------+--------------+-----------
```4 ``5 ``69 | 169 136 ```2 | 7 ``8 `13
```7 123 ``12 | ``8 ``5 `134 | 6 ``9 134
``69 `13 ```8 | ``7 136 1349 | 2 134 ``5
trios: [ 136 ] <c> _r579c5_ r13c5
Now bringing out the big guns.
als xz: _12_ r1c2 =2= r3c16 [ !=1 ] r3c3
_12_ r1c2 =1= r3c3589 [ !=2 ] r3c1
_127_ r1c234 =7= r3c136 [ !=2 ] r1c1
the two sets r1c2 and r3c16 have a 1 and 2 in common, and if 2 is in one of them, 2 cannot be in the other. the 1 in r3c3 touches the all the 1's in both sets, so r3c3 cannot be a 1 as it would cause both sets not to have a 1. Both sets are of the type that if two candidates are not in the sets, one of the cells in the two set would have to be blank.
Code:
`139 `12 1279 | 129 `47 ```6 | 8 ``5 234
2359 ``6 ```4 | 259 ``8 ``59 | 1 `23 ``7
``15 ``8 ``27 | ``3 `47 ``15 | 9 246 246
--------------+--------------+-----------
```8 ``4 ```3 | `16 ``9 ```7 | 5 126 126
`126 ``9 `126 | 156 136 `135 | 4 ``7 ``8
``16 ``7 ```5 | ``4 ``2 ```8 | 3 `16 ``9
--------------+--------------+-----------
```4 ``5 ``69 | 169 136 ```2 | 7 ``8 `13
```7 123 ``12 | ``8 ``5 `134 | 6 ``9 134
``69 `13 ```8 | ``7 136 1349 | 2 134 ``5
nice loop
=3= r2c8 -2- r3c8 -6- r3c9 =6= r4c9 -6- r6c8 =6= r6c1 -6- r5c3 =6= r7c3 =9= r7c4 -9- r1c4 -1- r3c6 =1= r3c1 =5= r2c1 =3= r1c1 -3- r1c9 =3=
proves r2c8 != 2
RC XWing: _[_-9]_r1c34_r7c34_<r>_ r2c4 also _[_-9]_r29c1_r29c6_<c>_ r2c4
als xz: _149_ r1c249 =9= b8p1268 [ !=4 ] r8c9
_1269_ r1358c3 =9= r1245c4 [ !=6 ] r5c5
pairs: [ 13 ] <c> _r78c9_ r4c9
rb bc claims: [6] _r45c4_ <bc> r7c4
fish fins: [ !=1 ] <r146> _r3c1_ [ !=1 ] <r346> _r1c4_ _r5c6_
Code:
``3 `12 1279 | `29 `47 `6 | 8 ``5 `24
`29 ``6 ```4 | `25 ``8 59 | 1 ``3 ``7
``5 ``8 ``27 | ``3 `47 `1 | 9 `26 246
-------------+------------+-----------
``8 ``4 ```3 | `16 ``9 `7 | 5 126 `26
126 ``9 `126 | 156 `13 35 | 4 ``7 ``8
`16 ``7 ```5 | ``4 ``2 `8 | 3 `16 ``9
-------------+------------+-----------
``4 ``5 ``69 | `19 136 `2 | 7 ``8 `13
``7 123 ``12 | ``8 ``5 `4 | 6 ``9 `13
`69 `13 ```8 | ``7 136 39 | 2 ``4 ``5
rb bc claims: [1] _r56c1_ <cb> r5c3
als xz: _19_ r7c4 =9= r9c26 [ !=1 ] r9c5
_13_ r7c9 =1= b8p19 [ !=3 ] r7c5
_26_ r4c9 =6= r147c4 [ !=2 ] r1c9
_19_ r1c24 =1= r9c26 [ !=9 ] r2c6 r7c4
_19_ r9c26 =1= b1p24 [ !=9 ] r9c1
_126_ b4p67 =1= r36c8 [ !=2 ] r3c3
_16_ r58c3 =1= r9c126 [ !=6 ] r5c1 r6c1 r7c3
Code:
Sudoku box
`3 `12 1279 | `29 47 `6 | 8 ``5 ``4
29 ``6 ```4 | `25 `8 `5 | 1 ``3 ``7
`5 ``8 ```7 | ``3 47 `1 | 9 `26 246
------------+-----------+-----------
`8 ``4 ```3 | `16 `9 `7 | 5 126 `26
12 ``9 ``26 | 156 13 35 | 4 ``7 ``8
`1 ``7 ```5 | ``4 `2 `8 | 3 `16 ``9
------------+-----------+-----------
`4 ``5 ```9 | ``1 16 `2 | 7 ``8 `13
`7 123 ``12 | ``8 `5 `4 | 6 ``9 `13
`6 `13 ```8 | ``7 36 39 | 2 ``4 ``5
now singles solve