grin share value notes

gistfile1.txt

Pool finds block 4300 -  https://grinscan.net/block/4300
   Secondary scale = 529

scale = factor = Scaling difficulty =
    for primary pow (cuckatooN solution) where N>=31 =  2^(1+EDGEBITS-24)*N
    for secondary pow - (cuckatoo29 solution) = variable, retargeted every block, stored as header field "secondary_scaling"

Example: Three workers contributed shares:
  Worker A submitted 50 cuckaroo29 shares
  Worker B submitted 25 cuckaroo29 shares and
                     10 cuckatoo31 shares
  Worker C submitted 5  cuckatoo32 shares

How much is eash share type worth compared with the others?

A cuckaroo29 share has scale:
    max(share target, solution scale)
  = max(29, 529) (where 529 is the blocks "secondary_scaling")
  = 529

A cuckatoo31 share has scale:
    2^(N-23)*N
  = 2^(31-23)*31
  = 2^8 * 31
  = 7936

A cuckatoo32 share has scale:
    2^(N-23)*N
  = 2^(32-23)*32
  = 2^9 * 32
  = 16384


so, total share value submitted is:
  cuckaroo29 shares:  529 * 75  =  39675
+ cuckatoo31 shares:  7936 * 10 =  79360
+ cuckatoo32 shares:  16384 * 5 =  81920
= 200955

The block reward is 60 grin (assume no tx fees)

The pool will pay Worker A:
    ((50 * 529) / 200955) * 60
  = (26450 / 200955) * 60
  = 0.131621507 * 60
  = 7.89729042 Grin

The pool will pay Worker B:
    (((25 * 529) + (10 * 7936)) / 200955) * 60
  = 0.460725038 * 60
  = 27.64350228 Grin

The pool will pay Worker C:
    ((5 * 16384) / 200955) * 60
  = 0.407653455 *60
  = 24.459207285 Grin

that's the reason behind this complexity? How did you get exactly this numbers? Is any simple explanation? thanks

Math is based largely on:
https://www.grin-forum.org/t/what-to-mine-choosing-between-cuckatoo31-and-cuckaroo29/1732