Unifying Notation for Chains & Nets of all Kinds!

Advanced methods and approaches for solving Sudoku puzzles

Unifying Notation for Chains & Nets of all Kinds!

Postby RichardGoodrich » Wed Jun 25, 2025 5:47 pm

I think this may be an impossible job! Should take into account the RCN,RNC,NCR,BNS grids

I will try to harvest stuff from the Forum, Sudopedia, Robert Hanson, Andrew Stuart (has some great diagrams), HoDoKU and of course biG - That's me and perhaps the "least reliable" source. But Hey it makes me HAPPY

Hey, I even found one of my own links on the subject from the past
http://forum.enjoysudoku.com/chain-notation-in-my-trace-t31469.html

I am [sure?] I will get many more!

***********************************************WIP = Work In Progress ****************************************************************
candie/s for candidate/s (shorter & easier to spell & some can die!)


brackets: (braces have too many other meanings
round = ()
square = []
curly = {}
arrow = <>


links can be BV|BL bi-value | bi-location

Use C bitwise operators
& = and, | = inclusive or, ~ = not

~ before r,c,n means NOT those


assert/unassert (+ and -) symbols in context
negate: exclamation !
remove: minus sign -
set: equal sign =
link: weak = *, (strong = @ if needed!)
term: semi-colon ; to separate statements
prefix: full colon :


grids:
xyz = rcn | rnc | ncr | bns

singles generically: (insert minus sign at end if removal)
rRcCnN | rcn: RCN; | RCN
rRnNcC | rnc: RNC;
nNcCrR | ncr: NCR
bBnNsS | bns: BNS

set singles specifically prefix above notation with:
n for naked
b in blk if not in col or row
c in col if not in row
r in row


Intersections: c2:@; c3:@, p2:@, p3:@ (only occur in rcn grid)
-------------------------------------------------------------
Locked Candidats Type 2 - Claim (using claiming vector)
---------------------------------------------------------
c2: claiming vector with 2 cells in claiming vector
c3: claiming vector with 3 cells in claiming vector

Locked Candidates Type 1 Point (using pointing vector)
------------------------------------------------------------
p2: pointing vector with 2 cells in pointing vector
p3: claiming vector with 2 cells in pointing vector

-----------------------------------------------------------
chains:

colors orange for asserted, blue for unasserted, red for removal
geen for set


use round brackets when needed

r1c2n23 > (r1c2n2, r1c2n3)
r45c1n7 > (r4c1n7, r5c1n7)
r3(c123,c7)n5 > -n5 in c1 & c2 & c3, +n5 in c1 of r3
r7(c345,c67)n9 > -n9 in c3 & c4 & c5, +n9 in c6 | c7 of r7

if the implications of the chains are automatically applied in
the APP then don't need to use > *

use 0|x|X as contradiction indicators in context
use ? as dont know/care


can be groups as apporiate

No Loops

forcing:
A * (a,B) * (b,B) * (b,C) > result
or A > B > C > ... > result


X-Chains C-Chains (DB)
XY-Chains

Nets are OR connection of multiple chains


-----------------------------------------------------------
patterns

N = number of cells/digits in pattern

PatN: *

* could perhaps be expressed in the non-RCN grids
Pat3:r234c157n5 OPT > "removals"

where OPT = (rnc: r234n5c157) OPT is optional!

Pat3: replaces "swordfish" in this case


--------------------------------------------------------
trace formatting

1. 234;567;355
4. p2:b5c6n2; p3:b6r8n5
6.
Big1952
RichardGoodrich
 
Posts: 99
Joined: 12 December 2012
Location: Josephine, TX (north of Dallas, TX)

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