DeathBlossom...Algorithm considerations(v5)

Further developing the DeathBlossom algorithm.
This discussion assumes the following knowledge :  Link ALS、 AIC、 ALS DeathBlossom

  (1) DeathBlossom basic form

DeathBlossom uses links by ALS.。




(*) The number of ALS links equal to the number of elements in the stem cell are arranged as shown in the following figure.
Assuming that a certain digit(z in the figure) is true, all ALS will be changed to LockedSet and there will be no stem cell candidates. Therefore, assuming that a certain digit(z) is true is incorrect, and z is false.

(2) DeathBlossom improvement method

How the DeathBlossom algorithm works and how to improve:

1. Weak link algorithm :
   ALS links are weak links. If it is a weak link, the algorithm will work. In other words, intra-cell links, inter-cell links, and AIC are also weak links; and algorithms that combine these can be constructed. It can also be extended to other weak links.


2. Connected links
   DeathBlossom can be configured as long as it is a weak link. A weak link in this case is not limited to a single link. Same as the Force algorithm, it is also possible for weak links of connected links.
   (In GNPX v5. Equipped with DeathBlossom, which includes concatenated links.)


3. Effect of ALS becoming LockedSet
   When ALS changes by lockedSet due to digit confirmation outside ALS, elements within the ALS may become fixed.
   The following effects occur:
   1. One element in ALS is determined.
   2. A LockedSet is generated from a subset of elements within the ALS.
   3. That determination will have a ripple effect on determining other elements.
   Here are some examples: