N2H 67

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N2H 67

Postby Yogi » Wed Jun 07, 2023 11:12 pm

5...64.....78.....39...58..2.....1.9.4.....3.9.3.....4..64...93.....16.....67...2

Code: Select all
+---+---+---+
|5..|.64|...|
|..7|8..|...|
|39.|..5|8..|
+---+---+---+
|2..|...|1.9|
|.4.|...|.3.|
|9.3|...|..4|
+---+---+---+
|..6|4..|.93|
|...|..1|6..|
|...|67.|..2|
+---+---+---+
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Yogi
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Posts: 352
Joined: 05 December 2015
Location: New Zealand

Re: N2H 67

Postby P.O. » Fri Jun 09, 2023 5:18 pm

basics:
Hidden Text: Show
Code: Select all
( n1r9c8   n4r4c5 )

intersections:
((((8 0) (8 8 9) (4 5 7 8)) ((8 0) (8 9 9) (5 7 8)))
 (((7 0) (4 6 5) (3 6 7 8)) ((7 0) (5 6 5) (2 6 7 8 9)) ((7 0) (6 6 5) (2 6 7 8)))
 (((6 0) (3 8 3) (2 4 6 7)) ((6 0) (3 9 3) (1 6 7))))

TRIPLET COL: ((5 7 6) (2 5 7)) ((6 7 6) (2 5 7)) ((7 7 9) (5 7))
(((1 7 3) (2 3 7 9)) ((2 7 3) (2 3 4 5 9)) ((9 7 9) (4 5)))

( n4r9c7   n8r9c1 )

intersections:
((((5 0) (9 2 7) (3 5)) ((5 0) (9 3 7) (5 9)))
 (((2 0) (5 7 6) (2 5 7)) ((2 0) (6 7 6) (2 5 7))))

QUAD ROW: ((1 2 1) (1 2 8)) ((1 3 1) (1 2 8)) ((1 8 3) (2 7)) ((1 9 3) (1 7))
(((1 4 2) (1 2 3 7 9)))

( n7r3c4 )

intersection:
((((1 0) (5 4 5) (1 2 5 9)) ((1 0) (6 4 5) (1 2 5))))

Code: Select all
5      128    128    39     6      4      39     27     17             
146    126    7      8      1239   239    39     245    15             
3      9      124    7      12     5      8      246    16             
2      5678   58     35     4      3678   1      5678   9               
167    4      158    1259   2589   26789  257    3      5678           
9      15678  3      125    258    2678   257    5678   4               
17     127    6      4      258    28     57     9      3               
47     237    249    2359   2359   1      6      578    578             
8      35     59     6      7      39     4      1      2               

7r8c2 => r2c2 <> 1,2,6
 r8c2=7 - c1n7{r78 r5} - c9n7{r5 r1} - r1n1{c9 c23}
 r8c2=7 - r7c1{n7 n1} - r7c2{n17 n2}
 r8c2=7 - c1n7{r78 r5} - c1n6{r5 r2}
=> r8c2 <> 7

4r3c8 => r5c1679 <> 7
 let A be r3c8=4 - c3n4{r3 r8} - r8c1{n4 n7}
 let B be r3c8=4 - c3n4{r3 r8} - c3n9{r8 r9} - r9c6{n9 n3} - c5n3{r8 r2}
 A
 A - r7n7{c12 c7}
 B - r2c7{n3 n9} - c6n9{r2 r5}
 B - c5n1{r2 r3} - b2n2{r3c5 r2c6} - c8n2{r2 r1} - r1n7{c8 c9}
=> r3c8 <> 4

8r7c5 => r5c34579 <> 5
 let A be r7c5=8 - r7c6{n8 n2} - b2n2{r2c6 r23c5} - r6c5{n28 n5}
 let B be r7c5=8 - r7c6{n8 n2} - 17r7c12
  A
  A - r4c4{n5 n3} - r1c4{n3 n9} - r2c6{n29 n3} - r9c6{n3 n9} - r9c3{n9 n5}
  B - r7c7{n7 n5}
  B - r8c1{n7 n4} - r2n4{c1 c8} - r2n5{c8 c9}
=> r7c5 <> 8

bte:
Hidden Text: Show
Code: Select all
( n4r2c8   n4r3c3   n5r2c9   n8r7c6   n4r8c1 )

intersection:
((((7 0) (8 8 9) (5 7 8)) ((7 0) (8 9 9) (7 8)))

ste.
P.O.
 
Posts: 1759
Joined: 07 June 2021


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