Difference between revisions of "Killer Pair"

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(Created page with "A '''Killer Pair''' is a Killer Subset of size 2. == How it works == Here is a simple example: Image:Killer_pair_demo.gif The cells R78C6 = 6 = {15} or {24}, i.e. t...")
 
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A '''Killer Pair''' is a [[Killer Subset]] of size 2.
A '''Killer Pair''' is a [[Killer Subset]] of size 2.


== How it works ==
=== Naked Killer Pair ===
Here is a simple example:


[[Image:Killer_pair_demo.gif]]
[[Image:Killer_pair_demo.gif]]


The cells R78C6 = 6 = {15} or {24}, i.e. they must contain either 1 or 2. They therefore form a naked pair in conjunction with the {12} in R3C6. This allows us to eliminate {12} for the rest of column 6, which means that R4C6 = 3.
The cells R78C6 = 6 = {15} or {24}, i.e. they must contain either 1 or 2. They therefore form a naked pair in conjunction with the {12} in R3C6. This allows us to eliminate {12} for the rest of column 6, which means that R4C6 = 3.
=== Hidden Killer Pair ===
[[Image:KHPair.png]]
The candidates {12} of R5 are locked either in the cage 5/2 in R5C12 or in the cage 9/2 in R5C89. Neither the cage 5/2 nor the cage 9/2 may include both 1 and 2. Therefore each of these cages must include one of 1 or 2, which means the cage 9/2 in R5C89 = [81] or {27} and cannot have {36} nor {45}.


== See Also: ==
== See Also: ==

Revision as of 08:59, 29 October 2021

A Killer Pair is a Killer Subset of size 2.

Naked Killer Pair

Killer pair demo.gif

The cells R78C6 = 6 = {15} or {24}, i.e. they must contain either 1 or 2. They therefore form a naked pair in conjunction with the {12} in R3C6. This allows us to eliminate {12} for the rest of column 6, which means that R4C6 = 3.

Hidden Killer Pair

KHPair.png

The candidates {12} of R5 are locked either in the cage 5/2 in R5C12 or in the cage 9/2 in R5C89. Neither the cage 5/2 nor the cage 9/2 may include both 1 and 2. Therefore each of these cages must include one of 1 or 2, which means the cage 9/2 in R5C89 = [81] or {27} and cannot have {36} nor {45}.

See Also: