The New Sudoku Players' Forum

by **ArkieTech** » Sun Jun 28, 2015 10:06 pm

Code: Select all: *-----------* |4.1|...|...| |7..|48.|.1.| |...|..6|4..| |---+---+---| |.14|...|.23| |...|8.3|...| |57.|...|94.| |---+---+---| |..9|7..|...| |.5.|.19|..4| |...|...|3.1| *-----------*

Play/Print this puzzle online

by **Leren** » Sun Jun 28, 2015 10:16 pm

Code: Select all: *--------------------------------------------------------------* | 4 29 1 | 3 579 257 |c2578 5678 2567 | | 7 3 6 | 4 8 25 | 25 1 9 | |e29 8 5 | 1 79 6 | 4 3 d27 | |--------------------+--------------------+--------------------| | 8 1 4 | 9 57 57 | 6 2 3 | | 69 69 2 | 8 4 3 | 1 57 57 | | 5 7 3 | 26 26 1 | 9 4 8 | |--------------------+--------------------+--------------------| | 1 26 9 | 7 3 4 | 258 568 256 | | 3 5 8 |a26 1 9 |b27 a67 4 | |f26 4 7 | 5 6-2 8 | 3 9 1 | *--------------------------------------------------------------*

(2=7) r8c48 - r8c7 = r1c7 - (7=2) r3c9 - r3c2 = (2) r9c1 => - 2 r9c5; stte

Leren

by **bat999** » Mon Jun 29, 2015 1:09 am

Code: Select all: .------------.-----------------.---------------------. | 4 29 1 | 3 579 257 | 2578 5678 2567 | | 7 3 6 | 4 8 25 | 25 1 9 | | h29 8 5 | 1 i79 6 | 4 3 a2-7 | :------------+-----------------+---------------------: | 8 1 4 | 9 57 57 | 6 2 3 | | 69 69 2 | 8 4 3 | 1 c57 b57 | | 5 7 3 | 26 26 1 | 9 4 8 | :------------+-----------------+---------------------: | 1 26 9 | 7 3 4 | 258 568 256 | | 3 5 8 | e26 1 9 | 27 d67 4 | | g26 4 7 | 5 f26 8 | 3 9 1 | '------------'-----------------'---------------------'

Type 1 Discontinuous Nice Loop (The start square has two weak links with same candidate)
[r3c9]-7-[r5c9]-5-[r5c8]-7-[r8c8]-6-[r8c4]-2-[r9c5]-6-[r9c1]-2-[r3c1]-9-[r3c5]-7-[r3c9] => r3c9<>7
=> - 7 r3c9; stte
8-)

by **SteveG48** » Mon Jun 29, 2015 2:39 am

Code: Select all: *-----------------------------------------------------------* | 4 29 1 | 3 579 257 | 2578 5678 2567 | | 7 3 6 | 4 8 25 | 25 1 9 | |d29 8 5 | 1 79 6 | 4 3 c27 | *-------------------+-------------------+-------------------| | 8 1 4 | 9 57 57 | 6 2 3 | | 69 69 2 | 8 4 3 | 1 a57 b57 | | 5 7 3 | 26 26 1 | 9 4 8 | *-------------------+-------------------+-------------------| | 1 26 9 | 7 3 4 | 258 568 256 | | 3 5 8 |g26 1 9 |h27 6-7 4 | |e26 4 7 | 5 f26 8 | 3 9 1 | *-----------------------------------------------------------*

(7)r5c8 = r5c9 - (7=2)r3c9 - r3c1 = r9c1 - r9c5 = r8c4 - (2=7)r8c7 => -7 r8c8 ; stte

Hmm. Appears to be identical to Bat's but a different starting point.

Second try:

Code: Select all: *-----------------------------------------------------------* | 4 2-9 1 | 3 *a579 *a257 | 2578 5678 2567 | | 7 3 6 | 4 8 b25 |c25 1 9 | | 29 8 5 | 1 79 6 | 4 3 27 | *-------------------+-------------------+-------------------| | 8 1 4 | 9 *57 *57 | 6 2 3 | | 69 f69 2 | 8 4 3 | 1 57 57 | | 5 7 3 | 26 26 1 | 9 4 8 | *-------------------+-------------------+-------------------| | 1 f26 9 | 7 3 4 |d258 568 e256 | | 3 5 8 | 26 1 9 |d27 67 4 | | 26 4 7 | 5 26 8 | 3 9 1 | *-----------------------------------------------------------*

Uses UR 57 r14c56:

(9=2)[UR] - r2c6 = r2c7 - r78c7 = r7c9 - (2=69)r57c2 => -9 r1c2 ; stte

by **Sudtyro2** » Mon Jun 29, 2015 5:52 am

Code: Select all: *--------------------------------------------------------------* | 4 a2-9 1 | 3 h579* g257* | 2578 5678 2567 | | 7 3 6 | 4 8 f25 |e25 1 9 | | 29 8 5 | 1 g79 6 | 4 3 27 | |--------------------+--------------------+--------------------| | 8 1 4 | 9 57* 57* | 6 2 3 | | 69 69 2 | 8 4 3 | 1 57 57 | | 5 7 3 | 26 26 1 | 9 4 8 | |--------------------+--------------------+--------------------| | 1 b26 9 | 7 3 4 |d258 568 c256 | | 3 5 8 | 26 1 9 |d27 67 4 | | 26 4 7 | 5 26 8 | 3 9 1 | *--------------------------------------------------------------*

I see Steve got to the UR first, but I had the following ready to go with an extra wrinkle...
AUR(57)r14c56 has both internals and externals available to eliminate 9r1c2; stte.
r1 internals => [2r1c6 = 9r1c5]
b2 externals => [5r2c6 = 7r3c5]

Code: Select all: [2r1c6 = 9r1c5] => -9r1c2 / 2r1c2 = r7c2 – r7c9 = r78c7 – r2c7 = 2r2c6 - \ [5r2c6 = 7r3c5] – 9r3c5 = 9r1c5 => -9r1c2

SteveC

by **pjb** » Mon Jun 29, 2015 8:02 am

Code: Select all: 4 29 1 | 3 579 257 |b2578 5678 2567 7 3 6 | 4 8 25 | 25 1 9 9-2 8 5 | 1 79 6 | 4 3 a27 ------------------------+----------------------+--------------------- 8 1 4 | 9 57 57 | 6 2 3 69 69 2 | 8 4 3 | 1 57 57 5 7 3 | 26 26 1 | 9 4 8 ------------------------+----------------------+--------------------- 1 26 9 | 7 3 4 | 258 568 256 3 5 8 |d26 1 9 |c27 67 4 f26 4 7 | 5 e26 8 | 3 9 1

(2=7)r3c9 - r1c7 = (7-2)r8c7 = r8c4 - (2=6)r9c5 - (6=2)r9c1 => -2 r3c1; stte

Phil

by **Ngisa** » Mon Jun 29, 2015 2:25 pm

Code: Select all: +---------+------------+----------------+ | 4 29 1 | 3 579 257 | 2578 5678 2567 | | 7 3 6 | 4 8 25 | 25 1 9 | | ai9-2 8 5 | 1 79 6 | 4 3 b27 | +---------+------------+----------------+ | 8 1 4 | 9 57 57 | 6 2 3 | | 69 69 2 | 8 4 3 | 1 d57 c57 | | 5 7 3 | 26 26 1 | 9 4 8 | +---------+------------+----------------+ | 1 26 9 | 7 3 4 | 258 568 256 | | 3 5 8 | f26 1 9 | 27 e67 4 | | h26 4 7 | 5 g26 8 | 3 9 1 | +---------+------------+----------------+

2r3c1-(2=7)r3c9-(7=5)r5c9-(5=7r5c8-(7=6)r8c8-(6=2)r8c4-r9c5=r9c1-(2)r3c1 => -2r3c1; stte

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