A New Kind of Parrot
This is my first real Parrot program which implements a simple, deterministic cellular automata of the form described in Stephen Wolfram's book "A New Kind of Science", Wolfram Media Inc., 2002, ISBN 1-57955-008-8. See the Wolfram Science Web Site for further details.
#------------------------------------------------------------------------
#
# automata.pasm
#
# Parrot assembly program to implement a cellular automata of the form
# described in Stephen Wolfram's book "A New Kind of Science", Wolfram
# Media Inc., 2002, ISBN 1-57955-008-8, http:://www.wolframscience.com/
#
# Written by Andy Wardley <abw@andywardley.com>
#
# This is free software; you can redistribute it and/or modify it under
# the same terms as Perl and/or Parrot.
#
#------------------------------------------------------------------------
# -- configurable options --
# I0 specifies the automata rule as an integer from 0 to 255.
# Some interesting rules are: 45, 57, 75, 86, 105, 109, 110,
# 129, 131, 150, 154, 182, 225
set I0, 154
# I1 specifies the line width (x)
# I2 the number of iterations (y)
set I1, 78
set I2, 35
# I3 defines the seed cell position which is, by default, the
# middle of the row (I1 / 2). You might prefer to set it
# manually, e.g. to 77 (the last cell, or I1 - 1) for rules
# like 110 that only expand to the left
div I3, I1, 2
# -- end of configurable options --
bsr init
loop: bsr display
bsr iterate
dec I2
if I2, loop
end
#------------------------------------------------------------------------
# init
#
# Initialise P0 to be hold cells, P1 to define evolution rules.
#------------------------------------------------------------------------
init:
# define new array of line width
new P0, .Array
set P0, I1
# iterate over array to initialise
set I10, 0
initloop:
# at seed point?
eq I10, I3, initon
initoff:
set P0, I10, 0
branch initnext
initon:
set P0, I10, 1
initnext:
inc I10
ne I10, I1, initloop
# For the 3 parent cells that we examine, there are 8 possible
# states: 000, 001, 010, 011, 100, 101, 110, 111. Each bit of
# the automata code number set in I0 indicates the state of the
# next-generation cell for each of those states. We extract
# these into the array P1
new P1, .Array
set P1, 8
set I10, 0 # loop iterator
set I11, 1 # bitmap
maploop:
and I12, I0, I11
set P1, I10, I12
inc I10
mul I11, I11, 2
lt I10, 8, maploop
ret
#------------------------------------------------------------------------
# iterate
#
# Perform an iteration of the cellular automata
#------------------------------------------------------------------------
iterate:
set I10, 0 # index of previous item
set I11, 1 # index of current item
set I12, 2 # index of next item
set I20, P0, 1 # left parent, dup cell 1 first time round
set I21, P0, 1 # above parent
iterloop:
set I22, P0, I12 # right parent
# duplicate penultimate cell for last cell
set I13, I12
inc I13
ne I13, I1, iteron
set I13, I12
dec I13
set I22, P0, I13
iteron:
# calculate function lookup number from parents
# is there an easier way to do this?
set I13, 0
bit1: unless I22, bit2
set I13, 1
bit2: unless I21, bit3
add I13, I13, 2
bit3: unless I20, bitend
add I13, I13, 4
bitend: set I14, P1, I13
if I14, iterblack
branch, iterwhite
iterblack:
set I14, 1
branch itermain
iterwhite:
set I14, 0
itermain:
set I20, I21
set I21, I22
set P0, I11, I14
set I10, I11
inc I11
inc I12
lt I12, I1, iterloop
ret
#------------------------------------------------------------------------
# display
#
# Display the current state of the cellular automata.
#------------------------------------------------------------------------
display:
set I10, 0
disploop:
set I11, P0, I10
if I11, dispon
dispoff:
print " "
branch dispnext
dispon:
print "+"
dispnext:
inc I10
ne I10, I1, disploop
print "\n"
ret
The output of running the program with various rules is shown below.
+
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ + + ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++++ + + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ +++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ ++ + ++ +++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++ + ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++ ++ ++++ + ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++ + +++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ + + ++ ++ ++ +++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++++ ++ + ++ ++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++ + +++ + + ++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++ + +++ +++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ ++ + ++ + + ++ + ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ + ++++ + + ++ +++ + ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++ +++ ++++++ ++ ++++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + + + ++ + ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ + + +++ + +++ +++ + + + + + +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + ++++ ++ ++ +++++++ + + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++++ + + + + ++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + +++ + + + + + ++++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ ++ +++ +++ +++ ++++++++++++ ++ ++++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++ ++ + + + ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++ + + ++ + ++++++++++ +++++ + + ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + + + + ++++ ++ +++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++ + + +++++++ +++ +++++++ + ++++ + +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + ++ + ++ + ++ ++++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++++ ++++++ + + + ++ ++++ + + + + ++ ++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++++++++ ++ ++ + +++++++ + + +++++++++++++++++++++++++++++++++++++++++++++++++++++
++ ++ +++ + + +++ + ++ + + ++++ +++ ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++++ + ++ +++++ + +++++ ++++++ + ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++
++++ ++ + + + ++ ++ + + ++ + ++ + ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + +++ + +++ ++ + ++++ +++ + ++ +++ + +++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++
++ + + +++++ ++ + + ++++ ++ ++++ ++ ++ + + ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + + ++ +++ + + + ++ + ++++ + + + +++++++++++++++++++++++++++++++++++++++++++++++
++++ ++++ ++++ + + +++ ++ ++ +++ + + + + + +++ + +++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++++++ ++ + + ++ ++++++++ +++ +++ + + +++++++++++++++++++++++++++++++++++++++++++++
++ ++ +++ + + + + + +++++ + + + + ++ + +++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++++ +++ +++++ + + + + + +++++++ + + +++ + +++ ++ +++++++++++++++++++++++++++++++++++++++++++
++++ ++ + + ++ ++++++ +++ +++++ ++++++ + + + + ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + +++ + + ++ + ++ ++ ++++ + ++ +++++ ++ +++ +++++++++++++++++++++++++++++++++++++++++
++ + + +++++ ++ + + ++ +++ + + +++ + ++ ++++ + ++ ++ ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + + +++ ++ ++ + + + ++ + + ++ ++++ ++ + ++ ++ + +++++++++++++++++++++++++++++++++++++++
++++ ++++ ++++ + + + + ++ + ++++ + + ++++++ + + + ++++ + ++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++++++ + + + +++ + +++ +++ +++ +++ + +++ +++++++++++++++++++++++++++++++++++++
++ ++ +++ + + + + + + +++ +++ + + +++++ + ++ ++ ++ +++ ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++++ +++ +++++ + + + + + ++ + + + ++ + + + + ++ + + ++ +++++++++++++++++++++++++++++++++++
++++ ++ + + ++ ++ + + + +++ + +++++ ++ + + + + +++++ + +++++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + +++ + + ++ + + +++++ + + + ++ ++ + +++++ + +++ ++ +++++++++++++++++++++++++++++++++
++ + + +++++ ++ + + ++ + + + ++ +++++ ++ + ++ ++++ + ++++ + ++ + +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + + +++ ++++ + +++ + ++ ++ ++++ ++ ++++ +++ ++ + + ++ + + +++++++++++++++++++++++++++++++
++++ ++++ ++++ + + + + ++ +++ ++++ ++ + ++ ++ ++ + ++ + + ++++++ ++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++++++ + + +++ + + + ++++ + + + ++ + + + +++++ ++ +++++++++++++++++++++++++++++
++ ++ +++ + + + + + + + ++ ++ + +++ +++ +++ + +++ ++++ +++ +++ + ++++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++++ +++ +++++ + + + + ++ ++++ ++ +++ + ++++ ++ + +++ + ++ + ++ +++++++++++++++++++++++++++
++++ ++ + + ++ ++ + + +++ ++ + + + ++ + + +++ + + + ++ + + + + ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + +++ + + ++ + + + + ++ +++ + +++ + + +++ + + ++++++ + + + +++++++ +++++++++++++++++++++++++
++ + + +++++ ++ + + ++ + + + + + + ++ + + + +++ ++ + + + + +++++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + + +++ ++++ + + + + + + + ++ +++++ + + + +++++ +++++ ++++++ + +++++++++++++++++++++++
++++ ++++ ++++ + + + + ++ + + +++++ + + +++ ++ ++ + + + +++ ++ +++ + ++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++++++ + + +++ + + + +++++ ++ +++ + ++++++ + ++ + +++ + ++ +++ + +++++++++++++++++++++
++ ++ +++ + + + + + + + ++ + + ++++ + + + ++++ + + + ++ + ++ + ++ ++ ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++++ +++ +++++ + + + + + +++ ++ ++++ + + + + +++++ +++++++ + + +++ + ++ ++ +++++++++++++++++++
++++ ++ + + ++ ++ + + + + + + + + ++ ++++++ + ++ + ++ + + + + + + +++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + +++ + + ++ + + + +++++ + + +++++ + + +++ ++ ++ + +++++ +++ +++++ + +++ ++ ++ +++++++++++++++++
++ + + +++++ ++ + + ++ + + + + +++++ +++ +++++ + ++ ++ ++ + ++ + ++++ + ++ +
++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + + +++ ++++ + + ++++ + ++++ + ++ ++ + ++ ++ + ++ + ++ + ++ + ++ +++ + + +++++++++++++++
++++ ++++ ++++ + + + + ++ + +++ ++ +++ + ++ + ++ + +++ ++ + +++ ++ + ++++ ++ ++ + ++ +++++
+++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++++++ + + +++ + + + + ++ ++ + + + + ++ + + ++ +++ ++ +++ ++ ++ ++++ ++ + +++++++++++++
++ ++ +++ + + + + + + + ++ + + +++++ + ++++ + + +++ ++++ + + + + + + + + ++ ++ + ++ +++ +
++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++++ +++ +++++ + + + + +++++ + +++ ++++ + ++ + +++ ++ + +++ + +++++ ++ +++ +++ ++ ++ +++++++++++
++++ ++ + + ++ ++ + + + + + +++ +++ + + + + +++ + + ++ ++ + ++++ ++ + ++ ++ + ++
+++++++++++++++++++++++++++++++++++++++++++++++++ + ++ + + +++ + + ++ + + + +++++ +++ + ++ + +++ +++ + + + ++ + + ++ + + ++ + + + + + + +++ +++++++++
++ + + +++++ ++ + + ++ + + + + ++ ++ + + +++ ++ ++ + + + + +++ + + + ++ + ++ +++ + + + +++ +
++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + + +++ ++++ + + ++ + + + +++ + + + + + + + + +++ +++ ++++ + +++++ + ++ + +++++++
++++ ++++ ++++ + + + + ++ + +++ ++ + + + + + ++ + + + + + + +++++ + ++ + + ++ + + ++ + + + + ++++
+++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++++++ + + +++ + + ++ ++++++++ + + + ++++++++++ + + +++ ++ ++ + + ++ +++++ ++ ++++ +++++++ +++++
++ ++ +++ + + + + + + + ++ + + ++ +++++++ + + ++++ + ++ ++ ++ + + ++ ++ ++ ++ ++ +
++++++++++++++++++++++++++++++++++++++++++++++ + ++ ++ ++++ +++ +++++ + + + + + +++ +++++++ + +++++++++ + +++ ++ + ++ ++ + +++ ++ + ++ + + +++++ + ++ +++
++++ ++ + + ++ ++ + + + + + + + ++ +++++ + ++ + + + +++ ++ + + + + ++++ +++ + ++++ ++
+++++++++++++++++++++++++++++++++++++++++++++ + ++ + + +++ + + ++ + + + +++++ + ++ + ++++ + ++ ++ ++++++ + + + +++ + + ++ +++ + ++ +++ + + + ++ + ++ +
++ + + +++++ ++ + + ++ + + + + +++ ++++ ++++ ++ + ++ ++ + +++++ ++++ + + + +++ ++ ++ +++ ++ +++ ++ + + +
++++++++++++++++++++++++++++++++++++++++++++ + ++++ + + + + +++ ++++ + + ++++ + ++ + + + ++++ +++ + ++++ + + +++ ++ + ++ + + ++ ++ ++ ++ ++++ + +
+
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
+++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ +++++++++++++++++++++++++++++++++++++++++++++
+ + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++
++++++++++++++++++++++++++++++++++++++++++++ + + + + + + + + + + + + + + + + ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++++++++++++++++++++++++++++++++++++++++++++
+
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ +++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + +++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ ++++ + +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + +++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + ++++ + ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ +++ ++ + ++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +++ + ++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + ++ + +++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++ ++++ + + + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ ++++ + ++++ + + +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + + ++ +++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + ++ + +++ ++ + ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++ + ++++ + ++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ +++ ++ + ++ + ++ ++++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +++ ++++ + ++++ + + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + +++ + ++ + + +++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++ + + + ++++ + ++ ++ + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ ++++ + +++ ++ + +++ +++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + +++++++ + +++ + + + ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + ++ + + ++ + ++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++ +++ ++++ ++++ ++++++++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ +++ ++ + + + ++ + ++ + +++ + ++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +++ ++ + ++ + + + +++++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + ++++++++ +++ + + + +++ +++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++ + + +++ + ++ +++ ++ + + + + +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ ++++ + +++ +++++ + + ++ ++ + +++ + +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + ++ + + ++++ ++ + + +++++++ +++++++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + ++ ++ ++ ++++ + ++ ++ +++ + ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++ +++++ ++ ++++ + + ++ ++ ++++ + ++++ ++ +++++++++++++++++++++++++++++++++++++++++++++++++++++
+ +++ ++ + + + ++ + + + +++ ++ + + + + +++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +++ ++ ++ + ++++ + ++ + ++ + + + +++++++++++++++++++++++++++++++++++++++++++++++++++
+ + + + ++++++ +++ ++ ++++ + ++ ++ +++ + + +++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++ + + + + ++ ++ + + ++++ ++ ++ + + ++++ + +++++++++++++++++++++++++++++++++++++++++++++++++
+ ++++ + +++ +++ ++ ++ + ++ + ++ ++ ++ ++ + +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + ++ + +++++++ ++ +++++ + ++ ++ ++++ +++ + ++ +++++++++++++++++++++++++++++++++++++++++++++++
+ + + ++ ++ + + ++ +++ + +++ ++ + + + + +++ ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++ +++++ ++ ++++ ++ + + ++ +++ + ++ + +++ + ++ +++++++++++++++++++++++++++++++++++++++++++++
+ +++ ++ + + + ++ ++ + +++ ++ ++ + ++ ++ ++++++ + ++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +++ ++ ++ ++ + + + ++++++ ++ ++++ ++ ++ + ++++ +++++++++++++++++++++++++++++++++++++++++++
+ + + + ++++++ +++ ++ + + + ++ +++ + ++ ++ +++ +++ + +++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++ + + + + ++ ++ +++ +++ ++ + + + ++ ++ + + ++ + + + + +++++++++++++++++++++++++++++++++++++++++
+ ++++ + +++ +++ ++ ++ ++ + ++ + +++ +++ ++ ++ + +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + + + ++ + +++++++ ++ ++ ++ + + +++++++ + ++ ++++++ ++++ +++ +++++++++++++++++++++++++++++++++++++++
+ + + ++ ++ + + ++ ++ ++++ ++ + + ++ + + + + ++ + ++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +++ +++++ ++ ++++ ++ ++ + + ++ +++ ++++ ++++ +++ + ++ ++ +++++++++++++++++++++++++++++++++++++
+ +++ ++ + + + ++ ++ + +++ ++ + ++ + + ++ + ++ + +++ + +++ +++ ++++ +
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + +++ ++ ++ ++ + + + ++ ++ +++ ++ + ++ + + + + + ++ + + + +++++++++++++++++++++++++++++++++++
+ + + + ++++++ +++ ++ + ++ ++ ++ + ++++++ +++ + ++ ++ + +++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++ + + + + ++ ++ +++++ ++ ++ + + +++ + ++ +++++ +++++ ++++ ++ + +++++++++++++++++++++++++++++++++
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