diff --git a/README.org b/README.org index 97f0f7a..3e41101 100644 --- a/README.org +++ b/README.org @@ -2,75 +2,4 @@ Reaction-Diffusion system simulation using the Gray-Scott model, in [[https://www.dyalog.com/][Dyalog APL]]. -#+begin_src - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ -⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ -⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ -⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ -⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ -⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ -⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺ -⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺⌺ ⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺ -⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ -⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺ ⌺ -⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ - ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ ⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺⌺ -#+end_src +[[img.png]] diff --git a/grayscott.dyalog b/grayscott.dyalog index 81f1b9d..bef54e5 100644 --- a/grayscott.dyalog +++ b/grayscott.dyalog @@ -8,13 +8,12 @@ ⍝ Parameters dt da db f k←1.0 0.16 0.08 0.060 0.062 ⍝ Initialization - N←200 - A←0.8+0.2×?N N⍴0 - A[((N÷2)-10)+⍳20;((N÷2)-10)+⍳20]←0.5 - B←0.2×?N N⍴0 - B[((N÷2)-10)+⍳20;((N÷2)-10)+⍳20]←0.25 + N←500 + A←N N⍴1 + B←0.1×?N N⍴0 + B[((N÷2)-10)+⍳20;((N÷2)-10)+⍳20]←1 ⍝ Run - steps←10000 + steps←20000 Ap Bp←(update⍣steps)A B ⍝ ' ⌺'[Ap>0.5] ⍝ Export to image file diff --git a/img.png b/img.png index 1032b20..60973f8 100644 Binary files a/img.png and b/img.png differ diff --git a/img.pnm b/img.pnm index 0994e77..666be32 100644 --- a/img.pnm +++ b/img.pnm @@ -1,502 +1,502 @@ P1 500 500 -0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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