The New Sudoku Players' Forum

Website · by **denis_berthier** » Fri Sep 02, 2022 9:28 am

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Code: Select all: +-------+-------+-------+ ! . . . ! 4 5 . ! . . . ! ! . . . ! . 8 . ! 1 . 3 ! ! 7 9 . ! 2 3 1 ! . . . ! +-------+-------+-------+ ! . 6 7 ! 3 9 . ! . 1 8 ! ! . . . ! . . . ! . . . ! ! 9 1 . ! . 6 . ! . 3 . ! +-------+-------+-------+ ! 3 . . ! . . . ! 8 . 7 ! ! . 7 . ! . . 8 ! 3 6 . ! ! 6 8 . ! . . 3 ! . 9 1 ! +-------+-------+-------+ ...45........8.1.379.231....6739..18.........91..6..3.3.....8.7.7...836.68...3.91;4815;73447 SER = 11.0

Code: Select all: Resolution state after Singles and whips[1]: +----------------------+----------------------+----------------------+ ! 128 23 12368 ! 4 5 67 ! 2679 278 269 ! ! 245 245 2456 ! 679 8 679 ! 1 2457 3 ! ! 7 9 4568 ! 2 3 1 ! 456 458 456 ! +----------------------+----------------------+----------------------+ ! 245 6 7 ! 3 9 245 ! 245 1 8 ! ! 2458 2345 23458 ! 1578 1247 2457 ! 245679 2457 24569 ! ! 9 1 2458 ! 578 6 2457 ! 2457 3 245 ! +----------------------+----------------------+----------------------+ ! 3 245 12459 ! 1569 124 24569 ! 8 245 7 ! ! 1245 7 12459 ! 159 124 8 ! 3 6 245 ! ! 6 8 245 ! 57 247 3 ! 245 9 1 ! +----------------------+----------------------+----------------------+ 174 candidates

by **totuan** » Fri Sep 02, 2022 5:08 pm

Code: Select all: *--------------------------------------------------------------------* |*128 23 *12368 | 4 5 67 | 2679 278 269 | | 245 245 2456 | 679 8 679 | 1 2457 3 | | 7 9 4568 | 2 3 1 | 456 458 456 | |----------------------+----------------------+----------------------| | 245 6 7 | 3 9 245 | 245 1 8 | |*2458 2345 *2345-8 | 1578 1247 2457 | 69 2457 69 | | 9 1 2458 | 578 6 2457 | 2457 3 245 | |----------------------+----------------------+----------------------| | 3 245 12459 | 1569 124 24569 | 8 245 7 | | 1245 7 12459 | 159 124 8 | 3 6 245 | | 6 8 245 | 57 247 3 | 245 9 1 | *--------------------------------------------------------------------*

My path for this one:
01. (8)r5c1=(8-1)r1c1=(1-3)r1c3=r5c3 => r5c3<>8

Code: Select all: *--------------------------------------------------------------------* |#12-8 23 &12368 | 4 5 &67 |*2679 278 *269 | | 245 245 2456 | 679 8 679 | 1 2457 3 | | 7 9 4568 | 2 3 1 | 456 458 456 | |----------------------+----------------------+----------------------| | 245 6 7 | 3 9 245 | 245 1 8 | |%2458 2345 2345 |@1578 @1247 2457 |*69 2457 *69 | | 9 1 2458 | 578 6 2457 | 2457 3 245 | |----------------------+----------------------+----------------------| | 3 245 #12459 |#1569 #124 $24569 | 8 245 7 | | 1245 7 12459 | 159 124 8 | 3 6 245 | | 6 8 245 | 57 247 3 | 245 9 1 | *--------------------------------------------------------------------*

02. Present as diagram: => r1c1<>8, r5c1 & r6c4=8
Look at UR(69)r15c79 => (6)r1c3=(6)r1c6

Code: Select all: (1)r7c3-r1c3=r1c1* || (1-6)r7c4=r7c6-r1c6==(6-1)r1c3=r1c1* || (1)r7c5-r5c5=(1-8)r5c4=r5c1*

Code: Select all: *--------------------------------------------------------------------* |&12 &23 *12368 | 4 5 67 | 2679 *28-7 269 | | 245 245 2456 | 679 8 679 | 1 2457 3 | | 7 9 4568 | 2 3 1 | 456 458 456 | |----------------------+----------------------+----------------------| |#245 6 7 | 3 9 245 |#245 1 8 | | 8 #2345 2345 | 157 1247 2457 | 69 #2457 69 | | 9 1 #245 | 8 6 2457 | 2457 3 #245 | |----------------------+----------------------+----------------------| | 3 #245 12459 | 1569 124 24569 | 8 #245 7 | |#1245 7 12459 | 159 124 8 | 3 6 #245 | | 6 8 #245 | 57 247 3 |#245 9 1 | *--------------------------------------------------------------------*

Look at tridagon (245) => (1)r8c1=(3)r5c2=(7)r5c8
03. (8)r1c8=(8-13)r1c3=(13)r1c12-(13)r8c1/r5c2==(7)r5c8 => r1c8<>7

Code: Select all: *--------------------------------------------------------------------* |*12 *23 %12368 | 4 5 %67 |%2679 28 %269 | | 245 245 2456 | 679 8 679 | 1 245-7 3 | | 7 9 4568 | 2 3 1 | 456 458 456 | |----------------------+----------------------+----------------------| |#245 6 7 | 3 9 245 |#245 1 8 | | 8 #2345 2345 | 157 1247 2457 |%69 #2457 %69 | | 9 1 #245 | 8 6 2457 | 2457 3 #245 | |----------------------+----------------------+----------------------| | 3 #245 12459 | 1569 124 24569 | 8 #245 7 | |#1245 7 12459 | 159 124 8 | 3 6 #245 | | 6 8 #245 | 57 247 3 |#245 9 1 | *--------------------------------------------------------------------*

Look at tridagon (245) => (1)r8c1=(3)r5c2=(7)r5c8 and UR(69)r15c79 => (6)r1c3=(6)r1c6
04. (7)r1c7=(7-6)r1c6==(6-13)r1c3=(13)r1c12-(13)r8c1/r5c2==(7)r5c8 => r2c8<>7, some singles

Code: Select all: *-----------------------------------------------------------* | 12 23 1238 | 4 5 6 | 7 28 9 | | 245 245 6 | 7 8 9 | 1 245 3 | | 7 9 458 | 2 3 1 | 6 458 45 | |-------------------+-------------------+-------------------| | 245 6 7 | 3 9 245 |*245 1 8 | | 8 2345 2345 | 1 24 245 | 9 7 6 | | 9 1 *245 | 8 6 7 | 24-5 3 *24 | |-------------------+-------------------+-------------------| | 3 245 9 | 6 1 24 | 8 45 7 | | 1245 7 1245 | 9 24 8 | 3 6 245 | | 6 8 *24 | 5 7 3 |*24 9 1 | *-----------------------------------------------------------*

05. Oddagon (24) => (5)r4c7=(5)r6c3 => r6c7<>5, some singles

Code: Select all: *-----------------------------------------------------------* | 12 e23 f1238 | 4 5 6 | 7 28 9 | | 245 245 6 | 7 8 9 | 1 24 3 | | 7 9 48 | 2 3 1 | 6 458 45 | |-------------------+-------------------+-------------------| |a24 6 7 | 3 9 b24 | 5 1 8 | | 8 34-2 g34-2 | 1 24 5 | 9 7 6 | | 9 1 5 | 8 6 7 | 24 3 24 | |-------------------+-------------------+-------------------| | 3 d245 9 | 6 1 c24 | 8 45 7 | | 1245 7 124 | 9 24 8 | 3 6 245 | | 6 8 24 | 5 7 3 | 24 9 1 | *-----------------------------------------------------------*

06.(2)r4c1=r4c6-r7c6=r7c2*-(2=3)r1c2-r1c3=r5c3 => r5c3<>2 and r5c2<>2 at “d”, stte

Thanks for the puzzle!
totuan

by **Cenoman** » Fri Sep 02, 2022 5:27 pm

More or less similar to totuan's

Code: Select all: +------------------------+------------------------+----------------------+ | 128 23 12368 | 4 5 67 | 2679 278 269 | | 245 245 2456 | 679 8 679 | 1 2457 3 | | 7 9 4568 | 2 3 1 | 456 458 456 | +------------------------+------------------------+----------------------+ | 245 6 7 | 3 9 245 | 245 1 8 | | 2458 2345 2345-8 | 178-5 1247 2457 | 69 2457 69 | | 9 1 2458 | 8-57 6 2457 | 2457 3 245 | +------------------------+------------------------+----------------------+ | 3 245 12459 | 1569 124 2469-5 | 8 245 7 | | 1245 7 12459 | 159 124 8 | 3 6 245 | | 6 8 245 | 57 247 3 | 245 9 1 | +------------------------+------------------------+----------------------+

1. (5=7)r9c4 - r2c4 = r12c6 - (7=245)r456c6 => -5 r7c6, r56c4

2. (8)r3c3 = (8-13)r1c13 = (3)r5c3 => -8 r5c3

3. Kraken column (1)r578c4
(1-8)r5c4 = (8)r6c4
(1-6)r7c4 = r7c6 - (6=7)r1c6 - r1c7 = (7)r6c7
(1)r8c4 - r8c1 = (1-8)r1c1 = r5c1 - r5c4 = (8)r6c4
=> -7 r6c4

Code: Select all: +------------------------+-----------------------+----------------------+ | c12 c23 12368 | 4 5 d'67 |d'2679 28-7 d'269 | | d245 d245 d2456 | 679 8 679 | 1 e245-7 3 | | 7 9 4568 | 2 3 1 | 456 458 456 | +------------------------+-----------------------+----------------------+ | *245 6 7 | 3 9 245 | *245 1 8 | | 8 b*2345 2345 | 17 1247 2457 | 69 a*2457 69 | | 9 1 *245 | 8 6 2457 | 2457 3 *245 | +------------------------+-----------------------+----------------------+ | 3 *245 12459 | 1569 124 2469 | 8 *245 7 | |b*1245 7 12459 | 159 124 8 | 3 6 *245 | | 6 8 *245 | 57 247 3 | *245 9 1 | +------------------------+-----------------------+----------------------+

TH (245)b4679 having three guardians: 3r5c2, 7r5c8, 1r8c1
4. (7)r5c8 == (1r8c1 | 3r5c2) - (13=2)r1c12 - r2c123 = (2)r2c8 => -7 r2c8
5. (7)r5c8 == (1r8c1 | 3r5c2) - (13=2)r1c12 - (2=697)r1c679=> -7 r1c8
lcls, 18 placements, (55 eliminations or 2, according to the number of fingers you have)

Code: Select all: +-----------------------+------------------+--------------------+ | 12 23 1238 | 4 5 6 | 7 28 9 | | 245 245 6 | 7 8 9 | 1 245 3 | | 7 9 458 | 2 3 1 | 6 458 45 | +-----------------------+------------------+--------------------+ | 245 6 7 | 3 9 245 | 5-24 1 8 | | 8 2345 2345 | 1 24 245 | 9 7 6 | | 9 1 *245 | 8 6 7 | *245 3 *24 | +-----------------------+------------------+--------------------+ | 3 245 9 | 6 1 24 | 8 45 7 | | 1245 7 1245 | 9 24 8 | 3 6 245 | | 6 8 *24 | 5 7 3 | *24 9 1 | +-----------------------+------------------+--------------------+

6. Remote pair (24)r6c79, r9c6 (r6c3, r9c3) => -24 r4c7

Code: Select all: +----------------------+-----------------+-------------------+ | 12 c23 1238 | 4 5 6 | 7 28 9 | | 245 245 6 | 7 8 9 | 1 24 3 | | 7 9 48 | 2 3 1 | 6 458 45 | +----------------------+-----------------+-------------------+ | 24 6 7 | 3 9 a24 | 5 1 8 | | 8 ba234 234 | 1 a24 5 | 9 7 6 | | 9 1 5 | 8 6 7 | 24 3 24 | +----------------------+-----------------+-------------------+ | 3 45-2 9 | 6 1 a24 | 8 45 7 | | 1245 7 124 | 9 24 8 | 3 6 245 | | 6 8 24 | 5 7 3 | 24 9 1 | +----------------------+-----------------+-------------------+

7. Almost Remote pair (24)r5c2, r7c6 (r4c6, r7c6), spoiler 3r5c2
RP(24)r5c2, r7c6 = (3)r5c2 - (3=2)r1c2 => -2 r7c2; ste

by **DEFISE** » Fri Sep 02, 2022 8:18 pm

After basics :

Code: Select all: |-----------------------------------------------------------| | 128 23 12368 | 4 5 67 | 2679 278 269 | | 245 245 2456 | 679 8 679 | 1 2457 3 | | 7 9 4568 | 2 3 1 | 456 458 456 | |-----------------------------------------------------------| | 245 6 7 | 3 9 245 | 245 1 8 | | 2458 2345 23458 | 1578 1247 2457 | 69 2457 69 | | 9 1 2458 | 578 6 2457 | 2457 3 245 | |-----------------------------------------------------------| | 3 245 12459 | 1569 124 24569 | 8 245 7 | | 1245 7 12459 | 159 124 8 | 3 6 245 | | 6 8 245 | 57 247 3 | 245 9 1 | |-----------------------------------------------------------|

Tridagon (2,4,5) in B4p159, B6p159, B7p249, B9p267
4 guardians : 3r5c2, 8r6c3, 7r5c8, 1r8c1

whip[3]: c1n8{r5 r1}- r1n1{c1 c3}- c3n3{r1 .} => -8r5c3
whip[3]: r9c4{n5 n7}- c5n7{r9 r5}- r5n1{c5 .} => -5r5c4
whip[4]: r9c4{n5 n7}- c5n7{r9 r5}- r5n1{c5 c4}- c4n8{r5 .} => -5r6c4
Box/Line: 5c4b8 => -5r7c6
whip[7]: r5n8{c1 c4}- r6c4{n8 n7}- c7n7{r6 r1}- r1c6{n7 n6}- r7n6{c6 c4}- c4n1{r7 r8}- c1n1{r8 .} => -8r1c1
Single(s): 8r5c1, 8r6c4 (=> guardian 8r6c3 deleted).

Partial g-braid[4] from 7r1c6 : r2n7{c6 c8*}- r2n2{c8 c123}- r1c1{n2 n1*}- r1c2{n2 n3*}
Each of the remaining 3 guardians is seen by a right element tagged with *.
So 7r1c6 is false.
Single(s): 6r1c6, 6r2c3, 6r7c4
Box/Line: 7r1b3 => -7r2c8

Partial braid[3] from 7r1c8 : r1n8{c8 c3}- r1n1{c3 c1*}- r1n3{c3 c2*}
Each of the remaining 3 guardians is seen by 7r1c8 or by a right element tagged with *.
So 7r1c8 is false.

Single(s): 7r1c7, 9r1c9, 6r5c9, 9r5c7, 6r3c7, 7r6c6, 9r2c6, 7r2c4, 1r5c4, 5r9c4, 9r8c4, 7r5c8, 9r7c3, 1r7c5, 7r9c5
Box/Line: 5c7b6 => -5r6c9
Box/Line: 2b3c8 => -2r7c8

Code: Select all: |--------------------------------------------------| | 12 23 1238 | 4 5 6 | 7 28 9 | | 245 245 6 | 7 8 9 | 1 245 3 | | 7 9 458 | 2 3 1 | 6 458 45 | |--------------------------------------------------| | 245 6 7 | 3 9 245 | 245 1 8 | | 8 2345 2345 | 1 24 245 | 9 7 6 | | 9 1 245 | 8 6 7 | 245 3 24 | |--------------------------------------------------| | 3 245 9 | 6 1 24 | 8 45 7 | | 1245 7 1245 | 9 24 8 | 3 6 245 | | 6 8 24 | 5 7 3 | 24 9 1 | |--------------------------------------------------|

whip[2]: r9n2{c3 c7}- c9n2{r8 .} => -2r6c3
Box/Line: 2r6b6 => -2r4c7
whip[4]: r7n2{c6 c2}- r1c2{n2 n3}- r5n3{c2 c3}- r5n2{c3 .} => -2r4c6
Single(s): 2r4c1, 1r1c1, 1r8c3
whip[2]: r9n4{c3 c7}- b6n4{r4c7 .} => -4r6c3
STTE

by **m_b_metcalf** » Sat Sep 03, 2022 9:54 am

=> 4r5c3, stte.

Mike

by **totuan** » Sat Sep 03, 2022 10:10 am

Code: Select all: *--------------------------------------------------------------------* |%128 %23 @12368 | 4 5 @6-7 |#2679 278 #269 | | 245 245 2456 | 679 8 679 | 1 2457 3 | | 7 9 %4568 | 2 3 1 | 456 458 456 | |----------------------+----------------------+----------------------| |*245 6 7 | 3 9 245 |*245 1 8 | | 2458 *2345 23458 | 1578 1247 2457 |#69 *2457 #69 | | 9 1 *2458 | 578 6 2457 | 2457 3 *245 | |----------------------+----------------------+----------------------| | 3 *245 12459 | 1569 124 24569 | 8 *245 7 | |*1245 7 12459 | 159 124 8 | 3 6 *245 | | 6 8 *245 | 57 247 3 |*245 9 1 | *--------------------------------------------------------------------*

I studied more then see that can solve this one without kraken/diagram

Look at tridagon (245) => (1)r8c1=(3)r5c2=(8)r6c3=(7)r5c8 and UR(69)r15c79 => (6)r1c3=(6)r1c6

(6)r1c6==(6-138)r1c13=(138)r1c12/r3c3-(138)r8c1/r5c2/r6c3==(7)r5c8-r6c7=r1c7
=> r1c6<>7, r1c6,r2c3,r7c4=6 => r7c4<>1 then can solve r5c1=8 without kraken/diagram.

Again, thanks for the puzzle.
totuan

Website · by **denis_berthier** » Sun Sep 04, 2022 4:51 am

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Thanks for your solutions. Here's mine.
As usual, starting from the resolution state after whips[1], some cleaning before trying to find tridagons (trying to minimise the number of guardians):

Code: Select all: hidden-pairs-in-a-row: r5{n6 n9}{c7 c9} ==> r5c9≠5, r5c9≠4, r5c9≠2, r5c7≠7, r5c7≠5, r5c7≠4, r5c7≠2 biv-chain[3]: r9c4{n5 n7} - c5n7{r9 r5} - b5n1{r5c5 r5c4} ==> r5c4≠5 biv-chain[3]: c1n8{r5 r1} - b1n1{r1c1 r1c3} - c3n3{r1 r5} ==> r5c3≠8 biv-chain[4]: r9c4{n5 n7} - c5n7{r9 r5} - b5n1{r5c5 r5c4} - b5n8{r5c4 r6c4} ==> r6c4≠5 whip[1]: c4n5{r9 .} ==> r7c6≠5 z-chain[7]: r6c4{n8 n7} - c7n7{r6 r1} - r1c6{n7 n6} - c4n6{r2 r7} - c4n1{r7 r8} - c1n1{r8 r1} - c1n8{r1 .} ==> r5c4≠8 singles ==> r6c4=8 (which eliminates a guardian), r5c1=8 +-------------------+-------------------+-------------------+ ! 12 23 12368 ! 4 5 67 ! 2679 278 269 ! ! 245 245 2456 ! 679 8 679 ! 1 2457 3 ! ! 7 9 4568 ! 2 3 1 ! 456 458 456 ! +-------------------+-------------------+-------------------+ ! 245 6 7 ! 3 9 245 ! 245 1 8 ! ! 8 2345 2345 ! 17 1247 2457 ! 69 2457 69 ! ! 9 1 245 ! 8 6 2457 ! 2457 3 245 ! +-------------------+-------------------+-------------------+ ! 3 245 12459 ! 1569 124 2469 ! 8 245 7 ! ! 1245 7 12459 ! 159 124 8 ! 3 6 245 ! ! 6 8 245 ! 57 247 3 ! 245 9 1 ! +-------------------+-------------------+-------------------+

The tridagon part:

Code: Select all: OR3-anti-tridagon[12] (type antidiag) for digits 2, 4 and 5 in blocks: b4, with cells: r4c1, r5c2, r6c3 b6, with cells: r4c7, r5c8, r6c9 b7, with cells: r8c1, r7c2, r9c3 b9, with cells: r8c9, r7c8, r9c7 with 3 guardians: n3r5c2 n7r5c8 n1r8c1 OR3-forcing-whip-elim[4] based on OR3-anti-tridagon[12] for n1r8c1, n3r5c2 and n7r5c8: || n1r8c1 - partial-whip[1]: r1c1{n1 n2} - || n3r5c2 - partial-whip[1]: r1c2{n3 n2} - || n7r5c8 - partial-whip[1]: c7n7{r6 r1} - ==> r1c7≠2 OR3-forcing-whip-elim[5] based on OR3-anti-tridagon[12] for n7r5c8, n1r8c1 and n3r5c2: || n7r5c8 - || n1r8c1 - partial-whip[2]: r1c1{n1 n2} - b3n2{r1c9 r2c8} - || n3r5c2 - partial-whip[2]: r1c2{n3 n2} - r2n2{c3 c8} - ==> r5c8≠2, r2c8≠7 whip[1]: r2n7{c6 .} ==> r1c6≠7 singles ==> r1c6=6, r7c4=6, r2c3=6 OR3-forcing-whip-elim[5] based on OR3-anti-tridagon[12] for n7r5c8, n1r8c1 and n3r5c2: || n7r5c8 - || n1r8c1 - partial-whip[1]: c4n1{r8 r5} - || n3r5c2 - partial-whip[3]: c3n3{r5 r1} - r1n8{c3 c8} - c8n7{r1 r5} - ==> r5c4≠7 naked-single ==> r5c4=1 OR3-forcing-whip-elim[5] based on OR3-anti-tridagon[12] for n1r8c1, n3r5c2 and n7r5c8: || n1r8c1 - partial-whip[1]: r1c1{n1 n2} - || n3r5c2 - partial-whip[1]: r1c2{n3 n2} - || n7r5c8 - partial-whip[2]: c7n7{r6 r1} - r1n9{c7 c9} - ==> r1c9≠2

The end is easy, in BC3:

Code: Select all: singles ==> r1c9=9, r1c7=7, r5c9=6, r5c7=9, r3c7=6, r5c8=7, r6c6=7, r2c6=9, r2c4=7, r9c4=5, r8c4=9, r7c3=9, r7c5=1, r9c5=7 whip[1]: c7n5{r6 .} ==> r6c9≠5 whip[1]: b3n2{r2c8 .} ==> r7c8≠2 finned-x-wing-in-rows: n2{r9 r6}{c3 c7} ==> r4c7≠2 whip[1]: b6n2{r6c9 .} ==> r6c3≠2 finned-x-wing-in-rows: n2{r4 r7}{c6 c1} ==> r8c1≠2 finned-x-wing-in-rows: n2{r7 r4}{c6 c2} ==> r5c2≠2 finned-x-wing-in-rows: n4{r9 r6}{c3 c7} ==> r4c7≠4 singles ==> r4c7=5, r5c6=5, r6c3=5 whip[1]: r3n5{c9 .} ==> r2c8≠5 biv-chain[2]: c5n4{r8 r5} - r4n4{c6 c1} ==> r8c1≠4 biv-chain[3]: r9n4{c3 c7} - b9n2{r9c7 r8c9} - r8c5{n2 n4} ==> r8c3≠4 biv-chain[3]: r1n1{c1 c3} - r8c3{n1 n2} - b4n2{r5c3 r4c1} ==> r1c1≠2 singles ==> r1c1=1, r8c1=5, r2c2=5, r7c8=5, r3c9=5, r8c3=1 finned-x-wing-in-rows: n4{r7 r4}{c6 c2} ==> r5c2≠4 stte

I chose this puzzle because, in spite of still having 3 guardians after some cleaning (instead of 4 at the start), it has a high number (5) of direct OR3-Forcing-Whip eliminations based on it.
Notice that, the higher the number of guardians the harder it is (statistically) to use it for many eliminations.
(In a week or so, I should have more detailed stats about this, but it seems intuitively obvious.)

Website · by **denis_berthier** » Mon Sep 05, 2022 5:19 am

DEFISE wrote:Partial g-braid[4] from 7r1c6 : r2n7{c6 c8*}- r2n2{c8 c123}- r1c1{n2 n1*}- r1c2{n2 n3*}
Each of the remaining 3 guardians is seen by a right element tagged with *.
So 7r1c6 is false.

Hi François

Good idea to use the anti-tridagon for proving that some rlc in a partial-whip/braid/... must be false.

The New Sudoku Players' Forum

#23427, more anti-tridagon guardians

#23427, more anti-tridagon guardians

Re: #23427, more anti-tridagon guardians

Re: #23427, more anti-tridagon guardians

Re: #23427, more anti-tridagon guardians

Re: #23427, more anti-tridagon guardians

Re: #23427, more anti-tridagon guardians

Re: #23427, more anti-tridagon guardians

Re: #23427, more anti-tridagon guardians