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Heavy Ordnance Corps Chip Matrix

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Revision as of 14:25, 5 March 2022 by Atsuri (talk | contribs) (Add basic outlines, further contents will be added soon.)
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File:HOC Chip.png
Chips will be used for HOC units similar to equipment for T-Dolls

ToDo:

  • General describtion of the HOC Chip Matrix
    • Different Forms
    • Origin Pentomino[1]
  • How values are calculated (Chip Maxvalue / 20 is the general first value)
  • Each square of a Chip stands for a value
  • Fill up HOC with some low-rarity Chips first
  • Collect 5-star Chips
  • Fill HOC units with 6-5 square 5 star Chips
  • Are colour bonuses HOC dependant?
  • Backlink to parts of Heavy Ordnance Corps
  • Talk about HOC units which are not able to reach all stats full with Chips
    • Important: Note this on the HOC unit's page, too!

General

Chips can provide plentiful status increase by installing on the HOC chip matrices. Each HOC unit has its own matrix of different colors or shapes, also, every HOC unit has their own maximum stats that chips can provide. Our discussion will mainly focus on HOC units reaching rarity 5 with full matrices. For players don't raise their HOC units to rarity 5, it is advised to just make best use of every space in your HOC's matrix. Hence there is no HOC units except PP-93(which will be released soon) could reach its maximum chip stats before rarity 5. So it is important to insert chips with appropriate amount, shapes and colors to maximum your HOC stats.

Origin

Pentomino

Inserting chips is actually one derivative form of the 'Pentomino' puzzle[1].Deriving from the Greek word '5' and 'domino', the puzzle mainly focusing on finding each and every way to fill the puzzle with the maximum number of pentominos.
So, in order to solve these pentominos with different stats or colors, we need to introduce some interesting algorithms to make our calculation clean and clear.

Calculation

Abstraction

First we need to transfer this puzzle into a more specific mathematic question for our further calculation. We can stretch this two-dimensional matrix into an singel dimensional array. Then we define every little block in the matrix as '1' or '0', which stands for non-empty or empty.

  • Here's an easy example to better understand this model.
                                                    
• {1,1,1,1,1,0,0,0,0}. • {0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1}. • {1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1}.

Certainly, all elements in the array will be '1' for a full chip loop, now that we have our mathematic theory basis, it seems easy to solve this problem.

Imagine this is a certain full chip loop(actually BGM-71's for hers is the easiest to show)

Exact cover

Np problem

DLX

Chip stats

This page is still being edited, more contents would be added after the update of the HOC-matrix template.



External links

References

  1. 1.0 1.1 Wikipedia entry on Pentomino