The New Sudoku Players' Forum

by **ArkieTech** » Wed Jan 01, 2014 12:25 am

Code: Select all: *-----------* |45.|.12|.9.| |..2|5..|...| |.8.|..4|5..| |---+---+---| |3.4|...|...| |.9.|7.6|.1.| |...|...|2.7| |---+---+---| |..6|1..|.5.| |...|..5|4..| |.4.|86.|.29| *-----------*

Play/Print this puzzle online

by **SteveG48** » Wed Jan 01, 2014 1:59 am

Code: Select all: *--------------------------------------------------------------------* | 4 5 d37 |b36 1 2 |e3678 9 e38 | | 679 36 2 | 5 379 8 | 367 4 1 | | 1679 8 1379 | 369 379 4 | 5 f37 2 | *----------------------+----------------------+----------------------| | 3 7 4 | 2 8 1 | 9 6 5 | | 2 9 58 | 7 35 6 | 38 1 4 | | 1568 16 158 | 4 359 h39 | 2 g38 7 | *----------------------+----------------------+----------------------| | 789 2 6 | 1 4 37-9 | 378 5 38 | | 1789 b13 b13789 |a39 2 5 | 4 b378 6 | | 57 4 c357 | 8 6 37 | 1 2 9 | *--------------------------------------------------------------------*

(9=3)r8c4 - r1c4|r8c238 = r9c3 - r1c3 = r1c79 - r3c8 = r6c8 - (3=9)r6c6 => -9 r7c6 ; stte

by **Leren** » Wed Jan 01, 2014 2:16 am

Code: Select all: *--------------------------------------------------------------* | 4 5 d37 |D36 1 2 | 3678* 9 #38 | | 679 36 2 | 5 C379 8 | 367 4 1 | | 1679 8 1379 | 369 C379 4 | 5 37 2 | |--------------------+--------------------+--------------------| | 3 7 4 | 2 8 1 | 9 6 5 | | 2 9 58 | 7 B35* 6 | 38* 1 4 | | 1568 16 158 | 4 B359 Aa9-3*# | 2 38 7 | |--------------------+--------------------+--------------------| | 789 2 6 | 1 4 379# | 378*# 5 #38 | | 1789 13 13789 | 39 2 5 | 4 378 6 | | 57 4 c357 | 8 6 b37 | 1 2 9 | *--------------------------------------------------------------*

Code: Select all: Kraken Row 1 (3): 3 r6c6 - r9c6 = r9c3 - r1c3; 3 r6c6 - r56c5 = r23c5 - r1c4; 3 r6c6 - r5c5 = r5c7 - r17*c7; 3 r6c6 - r7c67* = r7c9 - r1c9; => - 3r6c6; stte

Leren

by **pjb** » Wed Jan 01, 2014 4:10 am

A good one for patterns (aka templates): No pattern of 3 includes r23c5, r6c6, r8c4, so these <> 3; stte. Otherwise, a series of X-wings readily solves it.

Phil

by **ArkieTech** » Wed Jan 01, 2014 11:22 am

Code: Select all: *--------------------------------------------------------------------* | 4 5 37 | 36 1 2 | 3678 9 38 | | 679 *36 2 | 5 *379 8 | 367 4 1 | | 1679 8 1379 | 369 *379 4 | 5 *37 2 | |----------------------+----------------------+----------------------| | 3 7 4 | 2 8 1 | 9 6 5 | | 2 9 58 | 7 f35 6 | 38 1 4 | | 1568 16 158 | 4 *359 9-3 | 2 *38 7 | |----------------------+----------------------+----------------------| | 789 2 6 | 1 4 f379 | 378 5 38 | | 1789 *13 13789 |*39 2 5 | 4 *378 6 | | 57 4 357 | 8 6 f37 | 1 2 9 | *--------------------------------------------------------------------* Finned Franken Jellyfish 3r2368c258b8,fr5c5,r79c6 => -3r6c6

by **JC Van Hay** » Wed Jan 01, 2014 2:38 pm

pjb wrote:A good one for patterns (aka templates): No pattern of 3 includes r23c5, r6c6, r8c4, so these <> 3; stte.

Yes, It is by far more easier to find all the "single digit exclusions" by using manual templating than by any other method.
But, here, I will only concentrate on the interpretations of the exclusions.
Note : one of -3r23c5,-3r8c4,-3r6c6 implies the 2 others!
1. -3r23c5

Code: Select all: +-----------+-------------+-------------+ | . . 3 | (3) . . | 3 . 3 | | . (3) . | . -3 . | 3 . . | | . . 3 | (3) -3 . | . (3) . | +-----------+-------------+-------------+ | . . . | . . . | . . . | | . . . | . (3) . | (3) . . | | . . . | . 3 3 | . (3) . | +-----------+-------------+-------------+ | . . . | . . 3 | 3 . 3 | | . (3) 3 | (3) . . | . (3) . | | . . 3 | . . 3 | . . . | +-----------+-------------+-------------+ r2c5 r2c2==r8c2 r13c4=r8c4

or
XWing(3C24) : r2c2=r8c2-r8c4=r13c4 :=> -3r2c5
"Cover : R2B2 R8"

Code: Select all: r3c5 r5c5=r5c7 r3c8=r6c8=r8c8 r13c4=====r8c4

or
Swordfish(3R5C84) : Kite[r5c5=r5c7-r6c8=*r3c8]*=r8c8-r8c4=r13c4 --> 3r5c5=3r3c8=3r13c4 :=> -3r3c5
"Cover : C5R3B2 B6 R8"

LC(3r13c4,3r56c5)-3r8c4,3r6c6; ste

2. -3r8c4

Code: Select all: +-----------+--------------+-----------+ | . . 3 | 3 . . | 3 . 3 | | . (3) . | . (3) . | 3 . . | | . . 3 | 3 (3) . | . (3) . | +-----------+--------------+-----------+ | . . . | . . . | . . . | | . . . | . (3) . | 3 . . | | . . . | . (3) (3) | . (3) . | +-----------+--------------+-----------+ | . . . | . . (3) | 3 . 3 | | . (3) 3 | -3 . . | . (3) . | | . . 3 | . . (3) | . . . | +-----------+--------------+-----------+ r8c4 r79c6=r6c6 r8c8==r6c8==r3c8 r56c5=r3c5=r2c5 r8c2=============r2c2

or
Jellyfish(3C2568) : r79c6=r6c6-r6c8,r56c5=*XLoop[r8c8=*r3c8-r3c5=*r2c5-r2c2=r8c2 @] --> 3r79c6=3r8c8=3r8c2 :=> -3r8c4; ste
"Cover : B8R88 R6B5 R3 R2" :idea:

To whom it may concern :idea:

or
Kraken XWing(3C58) :
XWing[r6c8=r3c8-r3c5=r56c5]-r6c6=r79c6
||
r8c8
||
r2c5-r2c2=r8c2
or
Kraken 3C5
...
or
...

3. -3r6c6

Code: Select all: +-----------+---------------+-----------+ | . . 3 | 3 . . | 3 . 3 | | . (3) . | . (3) . | 3 . . | | . . 3 | 3 (3) . | . (3) . | +-----------+---------------+-----------+ | . . . | . . . | . . . | | . . . | . (3) . | 3 . . | | . . . | . (3) -3 | . (3) . | +-----------+---------------+-----------+ | . . . | . . (3) | 3 . 3 | | . (3) 3 | (3) . . | . (3) . | | . . 3 | . . (3) | . . . | +-----------+---------------+-----------+ r6c6 r79c6=r8c4 r8c2=r2c2 r56c5======r2c5=r3c5 r6c8==r8c8======r3c8

or
Jellyfish(3C258B8) : r79c6=r8c4-r8c8=*[XWing(r*63c8,r356c5)=r2c5-r2c2=r8c2-r8c4=r79c6] --> 3r79c6=3r6c8=3r56c5 :=> -3r6c6; ste
"Cover : C6B5R6 R8 R2 R3"
or
Kraken XWing(3C58)
XWing[r6c8=r3c8-r3c5=r56c5]
||
r8c8-r8c4=r79c6
||
r2c5-r2c2=r8c2-r8c4=r79c6
or
Kraken 3C5
...
or
...

The New Sudoku Players' Forum

Dan's Dawning January 1, 2014

Dan's Dawning January 1, 2014

Re: Dan's Dawning January 1, 2014

Re: Dan's Dawning January 1, 2014

Re: Dan's Dawning January 1, 2014

Re: Dan's Dawning January 1, 2014

Re: Dan's Dawning January 1, 2014