The New Sudoku Players' Forum

by **Carcul** » Tue Nov 28, 2006 7:26 pm

Toughie 3:

Code: Select all: *----------------------------------------------------------------------------* | 9 12 37 | 467 267 5 | 346 1467 8 | | 12 4 578 | 6789 3 2679 | 569 1679 157 | | 57 378 6 | 1 789 479 | 2 479 3457 | |------------------------+--------------------------+------------------------| | 8 1379 3479 | 34579 12579 123479 | 459 2479 6 | | 1467 5 479 | 46789 126789 124679 | 489 3 247 | | 467 3679 2 | 3456789 56789 34679 | 1 4789 457 | |------------------------+--------------------------+------------------------| | 45 689 1 | 2 569 369 | 7 468 34 | | 267 26789 789 | 3679 4 13679 | 368 5 12 | | 3 267 45 | 567 1567 8 | 46 12 9 | *----------------------------------------------------------------------------*

1. [r3c9]=5=[r3c1]-5-[r7c1]-4-[r7c9]-3-[r3c9], => r3c9<>3.

2. [r1c5]=2=[r1c2]-2-[r9c2]-6-[r7c2]-8-[r7c8]=8=[r6c8]=4=[r1c8]-4-[r1c4]-6-[r1c5], => r1c5<>6.

3. [r9c2]-6-[r6c2]=6|1=[r4c5]-1-[r4c6]=1=[r8c6]=6=[r9c45]-6-[r9c2], => r9c2<>6 solving the puzzle.

Carcul

by **Carcul** » Tue Nov 28, 2006 9:08 pm

Toughie 4:

Code: Select all: *---------------------------------------------------------------------------* | 5 18 34 | 479 6 478 | 1349 2 379 | | 24 346 7 | 1 459 245 | 3459 469 8 | | 18 9 246 | 2457 4578 3 | 145 1467 567 | |------------------------+--------------------------+-----------------------| | 149 2 3459 | 34569 134589 14568 | 7 4689 569 | | 479 3457 8 | 2345679 34579 24567 | 2459 469 1 | | 6 1457 459 | 24579 145789 124578 | 24589 3 259 | |------------------------+--------------------------+-----------------------| | 3 4678 469 | 467 2 1467 | 18 5 79 | | 2478 4578 245 | 3457 13457 9 | 6 18 23 | | 279 567 1 | 8 357 567 | 23 79 4 | *---------------------------------------------------------------------------*

1. [r1c9]-3-[r8c9]-2-[r9c7]=2=[r9c1]-2-[r2c1]-4-[r1c3]-3-[r1c9], => r1c9<>3.

2. [r4c6]-1-[r7c6]=1=[r7c7]-1-[r1c7]=1=[r1c2]-1-[r6c2]=1=[r4c1]-1-
-[r4c6], => r4c6<>1.

3. [r4c6]-8-[r4c8]=8=[r8c8]-8-[r8c1]=8=[r3c1]-8-[r3c5]=8=[r1c6]-8-
-[r4c6], => r4c6<>8.

4. [r4c6]-6-[r4c9]=6=[r3c9]-6-[r3c3]=6=[r7c3]-6-[r9c2]=6=[r9c6]-6-
-[r4c6], => r4c6<>6.

5. [r2c2]=6=[r2c8]-6-[r3c9]=6=[r4c9]-6-[r4c4]-3-[r4c3]=3=[r1c3]-3-
-[r2c2], => r2c2<>3.

6. [r2c1]=2=[r2c6]-2-[r5c6]-6-[r9c6]=6=[r9c2]-6-[r2c2]-4-[r2c1], => r2c1<>4.

7. [r4c1]=1=[r3c1]=8=[r3c5]=7=[r3c8]-7-[r9c8]=7=[r9c1]=9=[r7c3]-9-
-[r46c3]-4-[r4c1], => r4c1<>4.

8. [r4c1]-9-[r46c3]-4-[r59c1]-9-[r4c1], => r4c1<>9.

9. [r7c2]=6=[r7c3]=9=[r7c9]=7=[r1c9]-7-[r3c8]=7=[r3c5]-7-[r5c5]=7=
=[r5c1]-7-[r6c2]-4-[r2c2]-6-[r7c2], => r7c3<>4; r6c5/r8c5<>7; r7c2/r8c2<>4.

10. [r1c9]-9-[r2c8]=9=[r2c5]-9-[r4c5]=9=[r4c3]-9-[r7c3]=9=[r7c9]-9-
-[r1c9], => r1c9<>9.

11. r4c5=8 or r6c7=8, and so r4c8<>8 solving the puzzle.

Nice puzzles.

Carcul

by **wapati** » Tue Nov 28, 2006 10:33 pm

Ocean wrote:Nice example of a Jellyfish (with Jellyfish also as dual). The Jellyfish is visible at the very beginning, and if applied immediately (or early) the rest is solved by singles.

This puzzle should also qualify as an "Effortless Extreme" - as far as I can read the rules. If you submit it there (and RW accepts it), it will be the first Jellyfish example in that thread.

Thanks Ocean, RW did accept it. It is a fun puzzle.

by **wapati** » Tue Nov 28, 2006 10:47 pm

This has so many flavors.

Code: Select all: . . .|8 . 1|. . . . . 4|7 9 3|2 . . . 7 .|. . .|. 4 . -----+-----+----- . 9 2|1 . 8|7 5 . . . 7|. . .|1 . . . 8 5|3 . 4|9 6 . -----+-----+----- . 5 .|. . .|. 2 . . . 6|5 1 7|4 . . . . .|9 . 2|. . .

by **wapati** » Tue Nov 28, 2006 10:50 pm

tarek wrote:These puzzles provide "straight down to business" tough puzzles....
#3 & #4 should be tougher, Enjoy......

Yep, too tough for me.

I could not see a way to do them with patterns.

Very hard puzzles.

by **wapati** » Wed Nov 29, 2006 12:21 am

Not horrible, lots of pattern choices.

Code: Select all: . 4 8 | 7 . . | . . . 5 . . | . . . | . . . 9 . 1 | . 5 3 | 4 . . --------------------- 2 . . | . 3 . | 5 . . . . 3 | 4 . 5 | 2 . . . . 5 | . 1 . | . . 8 --------------------- . . 7 | 1 6 . | 3 . 9 . . . | . . . | . . 5 . . . | . . 4 | 6 8 .

by **daj95376** » Wed Nov 29, 2006 3:19 am

Code: Select all: # all include pattern(s) SSTS can't resolve # some include XY-Wing, XYZ-Wing, and/or UR_1 9..3...5..57...4..3..7....1...53.1...8.....2...3.94...8....3..2..4...61..1...5..9 # e_01 ....49.8.2.91...3...6.....9.759.........8.........769.4.....2...5...67.8.1.52.... # e_02 .81....537394...6...5..8.....65.7.......8.......6.14.....9..5...5...637991....24. # e_03 27.59.68..58..71...6........4...8....3.....1....4...5........7...51..96..97.32.41 # e_04 7.63..9..35....2.1....5..34.....9.1...9.2.4...6.8.....64..8....9.7....82..2..73.6 # e_07 .7..9..3...94.7.6.6........8......92..7.5.8..16......3........5.9.5.86...1..2..7. # e_09 ..3.4..96.97...1..1....7.......15..7.2.8.6.4.5..79.......5....2..5...36.61..8.4.. # e_12 ..9...4.6.7.6138...3...4....6.8....1....5....8....7.2....7...1...2135.8.5.7...2.. # e_17 6.9..3.2..2..4.1...14.6...9..3..26..4.......2..17..4..7...8.91...5.2..3..3.9..2.5 # e_20 8..5..4...92.87.63.6..........37.2...7.....4...5.29..........7.12.74.93...6..8..2 # e_23 9...1.2.37..9...5..62.7....6....5.2...9.3.1...7.8....6....5.96..3...9..85.6.8...2 # e_25

Code: Select all: # SSTS + XYZ-Wing(s) 5.62....8.2.7..4.59............8.53.4.......1.39.7............96.5..3.8.8....51.3 # e_10 .1.25...8..8.....9.3..7.4.......7.5.2.7.9.1.6.9.5.......9.3..8.6.....7..3...61.9. # e_14 1...28..339.........83....5.6.8.5.9.93..7..28.4.2.3.5.5....27.........122..48...9 # e_16 5..43..18.1...5...4.98.........82..4.85...32.7..35.........47.1...5...9.94..73..2 # e_18 ..5.6.1...3.2.1..98...........54..3..23...46..7..23...........43..8.6.7...1.7.9.. # e_21 ....7..5..396.....6.2..5..1...8...14..31.28..89...6...4..9..2.6.....814..1..2.... # e_22

by **Carcul** » Wed Nov 29, 2006 10:08 am

Wapati wrote:This has so many flavors.

Code: Select all: *------------------------------------------------------------* | 23569 236 39 | 8 4 1 | 56 379 35679 | | 568 16 4 | 7 9 3 | 2 18 568 | | 389 7 1389 | 6 2 5 | 38 4 1389 | |--------------------+-----------------+---------------------| | 34 9 2 | 1 6 8 | 7 5 34 | | 346 346 7 | 2 5 9 | 1 38 348 | | 1 8 5 | 3 7 4 | 9 6 2 | |--------------------+-----------------+---------------------| | 79 5 19 | 4 38 6 | 38 2 17 | | 238 23 6 | 5 1 7 | 4 389 389 | | 47 14 38 | 9 38 2 | 56 17 56 | *------------------------------------------------------------*

r8c1=2 or r3c1=9. But r3c1=9 => r1c3=3 => r9c3=8. So, r8c1<>8 and the puzzle is solved.

Carcul

by **Carcul** » Wed Nov 29, 2006 10:14 am

Wapati wrote:Not horrible, lots of pattern choices.

Code: Select all: *-----------------------------------------------------* | 36 4 8 | 7 2 169 | 19 5 136 | | 5 237 26 | 69 4 19 | 8 1279 1237 | | 9 267 1 | 8 5 3 | 4 267 267 | |----------------+-----------------+------------------| | 2 18 69 | 69 3 78 | 5 17 4 | | 7 18 3 | 4 89 5 | 2 169 16 | | 4 69 5 | 2 1 679 | 79 3 8 | |----------------+-----------------+------------------| | 8 5 7 | 1 6 2 | 3 4 9 | | 16 269 4 | 3 789 89 | 17 127 5 | | 13 239 29 | 5 79 4 | 6 8 127 | *-----------------------------------------------------*

r2c6=9 or r6c6=9, and so r1c6/r8c6<>9 solving the puzzle.

Carcul

by **tarek** » Wed Nov 29, 2006 12:01 pm

Excellent Carcul......didn't take you that much

wapati wrote:I could not see a way to do them with patterns.

Very hard puzzles.

All of the 4 toughies can be solved without chains & without NICE loops if you want......

The most difficult step would be ALS-xz in all of them ... I solved #1 by hand (took me ages

) .... here is the walkthrough for Toughie #1 (It shares a lot with Carcul's solution):

Code: Select all: . . 5 | 7 . . | . 3 . 3 . . | . 6 . | . . 4 . 1 . | . . 8 | . . . -------+-------+------ . 9 . | . . . | 5 . . . . 6 | . . . | . 1 . 4 . . | . . . | . . 8 -------+-------+------ 8 . . | . 4 . | . . 6 . . . | . . 6 | 2 . . . . 7 | 1 . . | . 9 . *--------------------------------------------------------------------------* | 269 2468 5 | 7 129 1249 | 1689 3 129 | | 3 278 289 | 259 6 1259 | 1789 2578 4 | | 2679 1 249 | 23459 2359 8 | 679 2567 2579 | |------------------------+------------------------+------------------------| | 127 9 1238 | 23468 12378 12347 | 5 2467 237 | | 257 23578 6 | 234589 235789 234579 | 3479 1 2379 | | 4 2357 123 | 23569 123579 123579 | 3679 267 8 | |------------------------+------------------------+------------------------| | 8 235 1239 | 2359 4 23579 | 137 57 6 | | 159 345 1349 | 3589 35789 6 | 2 4-5-78 1357 | | 256 23456 7 | 1 2358 235 |-348 9 35 | *--------------------------------------------------------------------------* r8c8 & r9c7 Must only have 48 as valid Candidates (48 is a Hidden Double in Box 9) *--------------------------------------------------------------------------* | 269 2468 5 | 7 129 1249 | 1689 3 129 | | 3 278 289 | 259 6 1259 | 1789 2578 4 | | 2679 1 *249 |*23459 2359 8 | 679 2567 2579 | |------------------------+------------------------+------------------------| | 127 9 1238 |*23468 12378 123-47 | 5 *2467 237 | | 257 23578 6 |#234589 235789 234579 | 3479 1 2379 | | 4 2357 123 | 23569 123579 123579 | 3679 267 8 | |------------------------+------------------------+------------------------| | 8 235 1239 | 2359 4 23579 | 137 57 6 | | 159 345 *1349 | 3589 35789 6 | 2 *48 1357 | | 256 23456 7 | 1 2358 235 | 48 9 35 | *--------------------------------------------------------------------------* *--------------------------------------------------------------------------* | 269 *2468 5 | 7 129 *1249 | 1689 3 129 | | 3 278 289 | 259 6 1259 | 1789 2578 4 | | 2679 1 249 |*23459 2359 8 | 679 2567 2579 | |------------------------+------------------------+------------------------| | 127 9 1238 | 23468 12378 123-47 | 5 2467 237 | | 257 23578 6 |#234589 235789 *234579 |*3479 1 2379 | | 4 2357 123 | 23569 123579 123579 | 3679 267 8 | |------------------------+------------------------+------------------------| | 8 235 1239 | 2359 4 23579 | 137 57 6 | | 159 345 1349 | 3589 35789 6 | 2 48 1357 | | 256 *23456 7 | 1 2358 235 |*48 9 35 | *--------------------------------------------------------------------------* Eliminating 4 From r4c6 (Finned Swordfish in Columns 348 (or Rows 159) with 1 fin in Box 5) *--------------------------------------------------------------------------* | 269 2468 5 | 7 129 1249 | 1689 3 129 | | 3 278 289 | 259 6 1259 | 1789 2578 4 | | 2679 1 249 | 23459 2359 8 | 679 2567 2579 | |------------------------+------------------------+------------------------| | 127 9 1238 |-2-346-8 12378 1237 | 5 -246-7 237 | | 257 23578 6 | 234589 235789 234579 | 3479 1 2379 | | 4 2357 123 | 23569 123579 123579 | 3679 267 8 | |------------------------+------------------------+------------------------| | 8 235 1239 | 2359 4 23579 | 137 57 6 | | 159 345 1349 | 3589 35789 6 | 2 48 1357 | | 256 23456 7 | 1 2358 235 | 48 9 35 | *--------------------------------------------------------------------------* r4c48 Must only have 46 as valid Candidates (46 is a Hidden Double in Row 4) *--------------------------------------------------------------------------* | 269 #2468 5 | 7 129 1249 | 1689 3 129 | | 3 *278 2-89 | 259 6 1259 | 1789 *2578 4 | | 2679 1 249 | 23459 2359 8 | 679 2567 2579 | |------------------------+------------------------+------------------------| | 127 9 1238 | 46 12378 1237 | 5 46 237 | | 257 *23578 6 |*234589 235789 234579 | 3479 1 2379 | | 4 2357 123 | 23569 123579 123579 | 3679 267 8 | |------------------------+------------------------+------------------------| | 8 235 1239 | 2359 4 23579 | 137 57 6 | | 159 345 1349 |*3589 35789 6 | 2 *48 1357 | | 256 23456 7 | 1 2358 235 | 48 9 35 | *--------------------------------------------------------------------------* *--------------------------------------------------------------------------* | 269 #2468 *5 | 7 129 1249 |*1689 3 129 | | 3 278 2-89 | 259 6 1259 | 1789 2578 4 | | 2679 1 249 | 23459 2359 8 | 679 2567 2579 | |------------------------+------------------------+------------------------| | 127 9 *1238 | 46 *12378 1237 | 5 46 237 | | 257 23578 6 | 234589 235789 234579 | 3479 1 2379 | | 4 2357 123 | 23569 123579 123579 | 3679 267 8 | |------------------------+------------------------+------------------------| | 8 235 1239 | 2359 4 23579 | 137 57 6 | | 159 345 1349 | 3589 35789 6 | 2 48 1357 | | 256 23456 7 | 1 *2358 235 |*48 9 35 | *--------------------------------------------------------------------------* Eliminating 8 From r2c3 (Finned Swordfish in Columns 248 with 1 fins in Box 1, or by constructing a Sashimi Swordfish in rows 149 with 1 fins in Box 1) r4c3 value MUST be 8 (Hidden Single in Column 3) . . 5 | 7 . . | . 3 . 3 . . | . 6 . | . . 4 . 1 . | . . 8 | . . . -------+-------+------ . 9 8 | . . . | 5 . . . . 6 | . . . | . 1 . 4 . . | . . . | . . 8 -------+-------+------ 8 . . | . 4 . | . . 6 . . . | . . 6 | 2 . . . . 7 | 1 . . | . 9 . *--------------------------------------------------------------------------* | 269 2468 5 | 7 129 1249 | 1689 3 129 | | 3 ^278 29 | 259 6 1259 | 1789 257-8 4 | | 2679 1 249 | 23459 2359 8 | 679 2567 2579 | |------------------------+------------------------+------------------------| | 127 9 8 | 46 1237 1237 | 5 46 237 | | 257 ^2357 6 | 234589 235789 234579 | 3479 1 2379 | | 4 ^2357 123 | 23569 123579 123579 | 3679 267 8 | |------------------------+------------------------+------------------------| | 8 ^235 1239 | 2359 4 23579 | 137 57 6 | | 159 ^345 1349 | 3589 35789 6 | 2 *48 1357 | | 256 23456 7 | 1 2358 235 | 48 9 35 | *--------------------------------------------------------------------------* Eliminating 8 from r2c8(ALS-XZ A=48(*) in r8c8 B=234578(^) in r25678c2 x=4 z=8, a Generalised UVWXYZ wing)

*Solving the puzzle*

tarek

by **Carcul** » Wed Nov 29, 2006 12:50 pm

Puzzle e_01 (from Daj95376):

Code: Select all: *--------------------------------------------------------------* | 9 26 1 | 3 4 268 | 278 5 678 | | 26 5 7 | 12689 1268 12689 | 4 3689 368 | | 3 4 8 | 7 5 269 | 29 69 1 | |-------------------+---------------------+--------------------| | 2467 2679 269 | 5 3 28 | 1 6789 4678 | | 45 8 59 | 16 167 167 | 39 2 34 | | 1 267 3 | 28 9 4 | 578 678 5678 | |-------------------+---------------------+--------------------| | 8 679 569 | 146 167 3 | 57 47 2 | | 257 3 4 | 289 278 2789 | 6 1 578 | | 267 1 26 | 2468 2678 5 | 378 3478 9 | *--------------------------------------------------------------*

An excellent example of grouped colouring:

[r6c2]-2-[r1c2]=2=[r2c1]-2-[r2c456]=2=[r13c6]-2-[r4c6]=2=[r6c4]-2-
-[r6c2], => r6c2<>2.

Puzzle e_03:

Code: Select all: *----------------------------------------------------------* | 4 8 1 | 27 6 29 | 79 5 3 | | 7 3 9 | 4 1 5 | 8 6 2 | | 26 26 5 | 37 39 8 | 179 19 4 | |-------------------+-------------------+------------------| | 1238 249 6 | 5 2349 7 | 19 12389 18 | | 1235 2479 234 | 23 8 249 | 6 1239 57 | | 2358 279 238 | 6 239 1 | 4 2389 57 | |-------------------+--------------------------------------| | 236 246 234 | 9 7 24 | 5 18 18 | | 28 5 248 | 1 24 6 | 3 7 9 | | 9 1 7 | 8 5 3 | 2 4 6 | *----------------------------------------------------------*

[r4c5]-4-[r8c5]=4=[r8c3]-4-[r5c34]-2,3-[r5c68]-{[r5c6]-9-[r5c8]=9=
=[r3c8]-9-[r1c7]=9=[r1c6]-9-[r5c6]}-9-[r5c6]-4-[r4c5], => r4c5<>4.

Puzzle e_04:

Code: Select all: *--------------------------------------------------------------* | 2 7 13 | 5 9 13 | 6 8 4 | | 34 5 8 | 26 46 7 | 1 23 9 | | 1349 6 1349 | 28 48 13 | 7 23 5 | |---------------------+-------------------+--------------------| | 1567 4 16 | 3 156 8 | 2 9 67 | | 5689 3 269 | 7 256 569 | 4 1 68 | | 16789 128 1269 | 4 126 69 | 38 5 3678 | |---------------------+-------------------+--------------------| | 13468 128 12346 | 9 568 56 | 38 7 238 | | 38 28 5 | 1 7 4 | 9 6 238 | | 68 9 7 | 68 3 2 | 5 4 1 | *--------------------------------------------------------------*

[r8c9]-2-[r7c79]-8-[r7c5]=8=[r3c5]=4=[r2c5]-4-[r2c1]-3-[r8c1]-8-[r8c2]-
-2-[r8c9], => r8c9<>2.

Puzzle e_07:

Code: Select all: *------------------------------------------------------* | 7 12 6 | 3 14 124 | 9 5 8 | | 3 5 4 | 69 69 8 | 2 7 1 | | 12 9 8 | 7 5 12 | 6 3 4 | |-----------------+------------------+-----------------| | 245 237 35 | 456 3467 9 | 8 1 357 | | 158 1378 9 | 15 2 135 | 4 6 357 | | 145 6 135 | 8 1347 1345 | 57 2 9 | |-----------------+------------------+-----------------| | 6 4 135 | 2 8 135 | 157 9 57 | | 9 13 7 | 145 134 6 | 15 8 2 | | 158 18 2 | 159 19 7 | 3 4 6 | *------------------------------------------------------*

[r4c2]=2=[r4c1]=4=[r6c1]-4-[r6c56](=4|7=[r6c5]-7-[r6c7]-5-[r45c9])
=4|3=[r56c6]-3-[r7c6]=3=[r7c3]-3-[r89c29]-1,8-[r5c2]-3,7-[r4c2], => r4c2=2.

Carcul

by **Carcul** » Wed Nov 29, 2006 12:57 pm

Tarek wrote:Eliminating 8 from r2c8(ALS-XZ A=48(*) in r8c8 B=234578(^) in r25678c2 x=4 z=8, a Generalised UVWXYZ wing)

Nice step. But it could be used in another way:

Code: Select all: *----------------------------------------------------------------------* | 269 2468 5 | 7 129 1249 | 1689 3 129 | | 3 278 289 | 259 6 1259 | 1789 2578 4 | | 2679 1 249 | 23459 2359 8 | 679 2567 2579 | |----------------------+------------------------+----------------------| | 127 9 1238 | 23468 12378 12347 | 5 2467 237 | | 257 23578 6 | 234589 235789 234579 | 3479 1 2379 | | 4 2357 123 | 23569 123579 123579 | 3679 267 8 | |----------------------+------------------------+----------------------| | 8 235 1239 | 2359 4 23579 | 137 57 6 | | 159 345 1349 | 3589 35789 6 | 2 48 1357 | | 256 23456 7 | 1 2358 235 | 48 9 35 | *----------------------------------------------------------------------*

[r2c8]-8-[r8c8]-4-[r25678c2]-8-[r1c2]=8=[r1c7]-8-[r2c8], => r2c8<>8 solving the puzzle.

Carcul

by **daj95376** » Wed Nov 29, 2006 8:02 pm

Ironically, Carcul and I found equivalent contradiction chains for puzzle e_01. That's scary!!!

Anyway, it's time for me to propose another odd-ball Kraken fish solution. Interestingly enough, [r6c4]=2 is pivotal to Carcul's and my solutions.

Code: Select all: 9..3...5..57...4..3..7....1...53.1...8.....2...3.94...8....3..2..4...61..1...5..9 # e_01 # Kraken Swordfish [r289C135] with fin cells [r4c13] # Swordfish => [r289c4]<>2 => [r6c4]=2 => [r4c6]<>2,[r6c2]<>2 # fin cells => [r4c6]<>2,[r6c2]<>2 => [r6c4]=2 => [r289c4]<>2 *---------------------------------------------------------------------* | 9 26 1 | 3 4 268 | 278 5 678 | |*26 5 7 | 1689-2 *1268 12689 | 4 3689 368 | | 3 4 8 | 7 5 269 | 29 69 1 | |----------------------+-----------------------+----------------------| |#2467 2679 #269 | 5 3 8-2 | 1 6789 4678 | | 45 8 59 | 16 167 167 | 39 2 34 | | 1 67-2 3 | 28 9 4 | 578 678 5678 | |----------------------+-----------------------+----------------------| | 8 679 569 | 146 167 3 | 57 47 2 | |*257 3 4 | 89-2 *278 2789 | 6 1 578 | |*267 1 *26 | 468-2 *2678 5 | 378 3478 9 | *--------------------------------------------------------------------*

by **Carcul** » Wed Nov 29, 2006 8:07 pm

Puzzle e_12:

Code: Select all: *------------------------------------------------------* | 2 5 3 | 1 4 8 | 7 9 6 | | 48 9 7 | 6 25 3 | 1 25 48 | | 1 468 468 | 9 25 7 | 28 2358 348 | |------------------+-----------------+-----------------| | 489 3468 4689 | 24 1 5 | 2689 238 7 | | 7 2 19 | 8 3 6 | 5 4 19 | | 5 3468 1468 | 7 9 24 | 268 1238 138 | |------------------+-----------------+-----------------| | 3 7 489 | 5 6 14 | 89 18 2 | | 489 48 5 | 24 7 124 | 3 6 189 | | 6 1 2 | 3 8 9 | 4 7 5 | *------------------------------------------------------*

1. [r2c1]=4|1=[r7c6](=4=[r7c3]-4-[r8c1])-1-[r7c8]-8-[r34c8]-2-[r4c4]-4-
-[r4c1]=4=[r2c1], => r2c1=4.

2. ATILA(9) => r4c3=9.

Daj95376 wrote:Ironically, Carcul and I found equivalent contradiction chains for puzzle e_01. That's scary!!!

Very scary.

Carcul

by **wapati** » Thu Nov 30, 2006 12:25 am

Daj, haven't looked at your puzzles yet, I will soon!

This is about the ugliest pattern based puzzle I have seen.

I haven't tried it yet, I print it out now.

Code: Select all: . 9 . | . . . | 1 8 . 3 . . | . . . | . 5 6 . . 1 | 6 . . | 9 . 3 --------------------- . . 8 | 4 3 . | . . . . . . | 2 . 7 | . . . . . . | . 8 9 | 3 . . --------------------- 2 . 7 | . . 6 | 5 . . 9 6 . | . . . | . . 7 . 5 4 | . . . | . 3 .

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CHAINS, not required. Good puzzles.