Partitioned Cellular Automata

For discussion of other cellular automata.
bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 3rd, 2019, 11:02 pm

PCA_12 is a reversible PCA rule that supports guns.

The rule:

Code: Select all

  /* Put your state count, neighbor count, and function here */
  final static int numStates = 16;
  final static int numNeighbors = 4;
  private int rule[] = {0,4,2,3,14,6,11,5,8,7,9,13,10,12,1,15};

  /* order for nine neighbors is nw, ne, sw, se, n, w, e, s, c */
  /* order for five neighbors is n, w, e, s, c */
  int f(int[] a)
  {
    int s = 0;
    if ((a[3] & 4) > 0)
      s = s | 1;
    if ((a[1] & 8) > 0)
      s = s | 2;
    if ((a[0] & 1) > 0)
      s = s | 4;
    if ((a[2] & 2) > 0)
      s = s | 8;
    return rule[s];
  }

Code: Select all

@RULE PCA_12
@TREE
num_states=16
num_neighbors=4
num_nodes=31
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
2 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1
1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
2 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4
3 2 2 5 5 2 2 5 5 2 2 5 5 2 2 5 5
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
2 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8
1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
1 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
2 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11
3 9 9 12 12 9 9 12 12 9 9 12 12 9 9 12 12
4 6 6 6 6 6 6 6 6 13 13 13 13 13 13 13 13
1 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
2 15 15 15 15 16 16 16 16 15 15 15 15 16 16 16 16
1 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
1 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
2 18 18 18 18 19 19 19 19 18 18 18 18 19 19 19 19
3 17 17 20 20 17 17 20 20 17 17 20 20 17 17 20 20
1 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
2 22 22 22 22 23 23 23 23 22 22 22 22 23 23 23 23
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
2 25 25 25 25 26 26 26 26 25 25 25 25 26 26 26 26
3 24 24 27 27 24 24 27 27 24 24 27 27 24 24 27 27
4 21 21 21 21 21 21 21 21 28 28 28 28 28 28 28 28
5 14 29 14 29 14 29 14 29 14 29 14 29 14 29 14 29
The reverse rule:

Code: Select all

  /* Put your state count, neighbor count, and function here */
  final static int numStates = 16;
  final static int numNeighbors = 4;
  private int rule[] = {0,14,2,3,1,7,5,9,8,10,12,6,13,11,4,15};

  /* order for nine neighbors is nw, ne, sw, se, n, w, e, s, c */
  /* order for five neighbors is n, w, e, s, c */
  int f(int[] a)
  {
    int s = 0;
    if ((rule[a[3]] & 4) > 0)
      s = s | 1;
    if ((rule[a[1]] & 8) > 0)
      s = s | 2;
    if ((rule[a[0]] & 1) > 0)
      s = s | 4;
    if ((rule[a[2]] & 2) > 0)
      s = s | 8;
    return s;
  }

Code: Select all

@RULE PCA_12R
@TREE
num_states=16
num_neighbors=4
num_nodes=31
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1
1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
2 3 4 3 3 3 4 4 3 3 3 4 4 4 3 4 4
3 2 5 5 5 2 5 2 2 2 5 2 5 2 5 2 5
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
2 7 8 7 7 7 8 8 7 7 7 8 8 8 7 8 8
1 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
1 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
2 10 11 10 10 10 11 11 10 10 10 11 11 11 10 11 11
3 9 12 12 12 9 12 9 9 9 12 9 12 9 12 9 12
4 6 13 6 6 6 6 6 13 13 13 13 6 13 13 6 13
1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
2 15 16 15 15 15 16 16 15 15 15 16 16 16 15 16 16
1 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
1 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
2 18 19 18 18 18 19 19 18 18 18 19 19 19 18 19 19
3 17 20 20 20 17 20 17 17 17 20 17 20 17 20 17 20
1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
2 22 23 22 22 22 23 23 22 22 22 23 23 23 22 23 23
1 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
1 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
2 25 26 25 25 25 26 26 25 25 25 26 26 26 25 26 26
3 24 27 27 27 24 27 24 24 24 27 24 27 24 27 24 27
4 21 28 21 21 21 21 21 28 28 28 28 21 28 28 21 28
5 14 14 14 29 29 29 29 29 14 14 14 14 29 29 14 29
An irregular gun:

Code: Select all

x = 3, y = 4, rule = PCA_12
H$BOB$J$.A!
Run the gun for 1000 steps, then reverse it using the technique described in the previous two posts.

Brian Prentice

wildmyron
Posts: 1465
Joined: August 9th, 2013, 12:45 am

Re: Partitioned Cellular Automata

Post by wildmyron » October 4th, 2019, 7:18 am

Very interesting Brian. Have you been able to stabilise the growing end of that puffer / gun pattern - or have you found a more regular gun?

I decided to take a foray into the world of NewCA.lua
Here is a script to run 2PCA4 rules which can be used with Golly 3.3 (or one of the earlier 3.3 betas with NewCA.lua included). Save it as a file named PCA.lua

It has similar functionality to the RPCA java application. "alt R" to generate a new rule with a random pattern (restricted to reversible rules), "alt V" to change the direction for reversible rules. Like RPCA.jar the generation counter continues to increment even in reverse (this is a limitation of NewCA.lua). It is a fair bit slower than the Java app, but can be sped up a fair bit for low population patterns by increasing the step. Strobing rules and other rules with "birth" on state 0 will run, but there's no built in strobing support like with Andrew's Margolus.lua.

Code: Select all

--[[
This script lets you explore CA rules using the Partitioned Cellular
Automata scheme.
Author: Arie Paap (wildmyron@gmail.com), October 2019.
Adapted from Margolus.lua and other NewCA.lua scripts by Andrew Treverrow
NextVal() based on Java and Golly RuleTree implementation of PCA rules by Brian Prentice
--]]

local g = golly()
local gp = require "gplus"
local split = gp.split
local floor = math.floor

require "gplus.NewCA"
SCRIPT_NAME = "PCA"
DEFAULT_RULE = "2PCA4,0,4,8,3,1,10,6,7,2,9,5,11,12,13,14,15" -- Model 1
RULE_HELP = [[
This script lets you explore Partitioned Cellular Automata (PCA).
It currently only supports 2-state PCA with 4 neighbours (2PCA4)
Rule strings are of the form kPCAn,s,s,s,s,s,s,s,s,s,s,s,s,s,s,s,s
where 'k' is the number of states (must be 2), 'n' is the number of neighbours
(must be 4) and there must be 16 's' numbers with values from 0 to 15.
<p>
You can enter rules using one of the following aliases (case must match):
<p>
<center>
<table cellspacing=1 border=2 cols=2 width="90%%">
<tr><td align=right> Alias    &nbsp;</td><td>&nbsp; Rule </td></tr>
<tr><td align=right> Model_1 / PCA_1    &nbsp;</td><td>&nbsp; 2PCA4,0,4,8,3,1,10,6,7,2,9,5,11,12,13,14,15 </td></tr>
<tr><td align=right> PCA_2    &nbsp;</td><td>&nbsp; 2PCA4,0,2,4,3,8,10,6,7,1,9,5,11,12,13,14,15 </td></tr>
<tr><td align=right> PCA_3    &nbsp;</td><td>&nbsp; 2PCA4,0,8,1,3,2,5,6,7,4,9,10,11,12,13,14,15 </td></tr>
<tr><td align=right> PCA_4    &nbsp;</td><td>&nbsp; 2PCA4,0,2,4,12,8,5,9,7,1,6,10,11,3,13,14,15 </td></tr>
<tr><td align=right> Model_2 / PCA_5    &nbsp;</td><td>&nbsp; 2PCA4,0,4,8,3,1,10,6,11,2,9,5,13,12,14,7,15 </td></tr>
<tr><td colspan=2> PCA_6 - PCA_12: 2PCA4 rules as defined by Brian Prentice at the link below</td></tr>
</table>
</center>
<p>
For more details about 2D Partitioned Cellular Automata see this link:<br>
<a href="http://www.conwaylife.com/forums/viewtopic.php?f=11&t=4098">
http://www.conwaylife.com/forums/viewtopic.php?f=11&t=4098</a>,<br>
and references therein. Model 1 and Model 2 are two reversible PCA rules shown
to be computation universal by Kenichi Morita <i>et al.</i>
]]

-- the following are non-local so a startup script can change them
DEFWD, DEFHT = 500, 500         -- default grid size
aliases = {
    Model_1     = "2PCA4,0,4,8,3,1,10,6,7,2,9,5,11,12,13,14,15",
    PCA_1       = "2PCA4,0,4,8,3,1,10,6,7,2,9,5,11,12,13,14,15",
    PCA_2       = "2PCA4,0,2,4,3,8,10,6,7,1,9,5,11,12,13,14,15",
    PCA_3       = "2PCA4,0,8,1,3,2,5,6,7,4,9,10,11,12,13,14,15",
    PCA_4       = "2PCA4,0,2,4,12,8,5,9,7,1,6,10,11,3,13,14,15",
    Model_2     = "2PCA4,0,4,8,3,1,10,6,11,2,9,5,13,12,14,7,15",
    PCA_5       = "2PCA4,0,4,8,3,1,10,6,11,2,9,5,13,12,14,7,15",
    PCA_6       = "2PCA4,0,2,4,3,8,10,6,14,1,9,5,7,12,11,13,15",
    PCA_7       = "2PCA4,0,2,4,12,8,5,9,14,1,6,10,7,3,11,13,15",
    PCA_8       = "2PCA4,0,2,4,12,8,10,9,14,1,6,5,7,3,11,13,15",
    PCA_9       = "2PCA4,0,2,4,12,8,10,9,13,1,6,5,14,3,7,11,15",
    PCA_10      = "2PCA4,0,1,2,3,4,5,6,13,8,9,10,14,12,7,11,15",
    PCA_11      = "2PCA4,0,4,8,3,1,10,6,11,2,9,5,11,13,12,14,15",
    PCA_12      = "2PCA4,0,4,2,3,14,6,11,5,8,7,9,13,10,12,1,15",
}

--------------------------------------------------------------------------------

-- Rule variables set by ParseRule and used in NextPattern
NextPattern = function() end    -- ParseRule sets this to SlowPattern or FastPattern
local transition = {}           -- Transition table used to run PCA rules forwards
local inv_transition = {}       -- Lookup table used to run reversible PCA rules backwards
local reversible = false        -- True for reversible PCA (RPCA) rules
local direction = 1             -- >0 if running forwards, <0 if running backwards
local numstates = 2             -- Allowed states for each partition
local numneighbors = 4          -- Neighbourhood is von Neumann (ignoring centre cell)
local maxstate = floor(2^4)-1   -- Cell state representing all partitions (S=1, W=2, N=3, E=4)

function ParseRule(newrule)
    -- Parse the given rule string.
    -- If valid then return nil, the canonical rule string,
    -- the width and height of the grid, and the number of states.
    -- If not valid then just return an appropriate error message.
    -- Default: 2PCA4,0,4,8,3,1,10,6,7,2,9,5,11,12,13,14,15

    if #newrule == 0 then
        newrule = DEFAULT_RULE  -- should be a valid rule!
    else
        -- check for a known alias
        local rule = aliases[newrule]
        if rule then
            newrule = rule
        elseif newrule:find(":") then
            -- try without the suffix
            local p, s = split(newrule,":")
            rule = aliases[p]
            if rule then newrule = rule..":"..s end
        end
    end
    
    local prefix, suffix = split(newrule:upper(),":")
    
    -- check for a valid prefix
    if prefix:sub(1,5) ~= "2PCA4" then
        return "Rule must start with kPCAn. Only k=2 and n=4 are currently supported."
    end
    
    -- fill the transition table for use in NextPattern
    transition = {}
    local i = 0
    for n in string.gmatch(prefix, "[,;_](%d+)") do
        if tonumber(n) > maxstate then 
            return "Bad number: "..n.." (must be from 0 to "..maxstate..")."
        end
        transition[i] = tonumber(n)
        i = i + 1
        if i > (maxstate + 1) then break end
    end
    if i ~= (maxstate + 1) then
        return string.format("Rule must specify %d comma-separated numbers from 0 to %d.", maxstate + 1, maxstate)
    end
    
    -- invert the transition table for reversible rules
    inv_transition = {}
    reversible = true
    direction = 1
    for i = 0, maxstate do
        inv_transition[i] = -1
    end
    for i = 0, maxstate do
        inv_transition[transition[i]] = i
    end
    for i = 0, maxstate do
        if inv_transition[i] < 0 then
            reversible = false
            break
        end
    end

    -- check for a valid suffix like T50 or T50,30
    local wd, ht = DEFWD, DEFHT
    if suffix then
        if suffix:find(",") then
            wd, ht = suffix:match("^T(%d+),(%d+)$")
        else
            wd = suffix:match("^T(%d+)$")
            ht = wd
        end
        wd = tonumber(wd)
        ht = tonumber(ht)
        if wd == nil or ht == nil then
            return "Rule suffix must be Twd,ht or Twd."
        end
    end
    if wd < 4 then wd = 4 elseif wd > 1000 then wd = 1000 end
    if ht < 4 then ht = 4 elseif ht > 1000 then ht = 1000 end
    
    -- given rule is valid
    
    -- create the canonical form of the given rule
    local canonrule = numstates.."PCA"..numneighbors
    for i = 0, 15 do
        canonrule = canonrule..","..transition[i]
    end
    canonrule = canonrule..":T"..wd..","..ht
    
    if transition[0] == 0 then
        NextPattern = FastPattern
    else
        NextPattern = SlowPattern
    end

    return nil, canonrule, wd, ht, maxstate + 1
end

--------------------------------------------------------------------------------

local function NextVal(x, y, minx, miny, maxx, maxy, emptycells)
    -- Calculate the next state of a cell at (x,y)
    -- If called with arg <emptycells>, then record coords of empty neighbours
    
    local get = g.getcell
    local gridwd = maxx-minx+1
    local keepempty = false
    if emptycells then keepempty = true end

    -- for neighbour coordinates
    local xm1 = x-1
    local xp1 = x+1
    local ym1 = y-1
    local yp1 = y+1
    -- might need to wrap edges
    if xm1 < minx then xm1 = maxx end
    if xp1 > maxx then xp1 = minx end
    if ym1 < miny then ym1 = maxy end
    if yp1 > maxy then yp1 = miny end
    
    local S = get(x, yp1)
    local W = get(xm1, y)
    local N = get(x, ym1)
    local E = get(xp1, y)
    if direction < 0 then
        S = inv_transition[S]
        W = inv_transition[W]
        N = inv_transition[N]
        E = inv_transition[E]
    end
    local state = 0
    if S == 0 then
        if keepempty then emptycells[(yp1 - miny) * gridwd + (x - minx)] = 1 end
    elseif (S & 4) > 0 then
        state = state + 1
    end
    if W == 0 then
        if keepempty then emptycells[(y - miny) * gridwd + (xm1 - minx)] = 1 end
    elseif (W & 8) > 0 then
        state = state + 2
    end
    if N == 0 then
        if keepempty then emptycells[(ym1 - miny) * gridwd + (x - minx)] = 1 end
    elseif (N & 1) > 0 then
        state = state + 4
    end
    if E == 0 then
        if keepempty then emptycells[(y - miny) * gridwd + (xp1 - minx)] = 1 end
    elseif (E & 2) > 0 then
        state = state + 8
    end
    
    if direction > 0 then
        state = transition[state]
    end
    return state
end

--------------------------------------------------------------------------------

function FastPattern(currcells, minx, miny, maxx, maxy)
    -- Create the next pattern when transition[0] == 0
    -- currcells is a non-empty cell array containing the current pattern.
    -- minx, miny, maxx, maxy are the cell coordinates of the grid edges.
    -- This function must return the new pattern as a cell array.

    local newcells = {}         -- cell array for the new pattern (one-state)
    local newlen = 0            -- length of newcells
    local emptycells = {}       -- keys are x,y coords for empty cells
    local gridwd = maxx-minx+1
    
    local currlen = #currcells  -- currcells is multi-state so currlen is odd
    if currlen % 3 > 0 then
        currlen = currlen - 1   -- ignore padding int
    end
    for i = 1, currlen, 3 do
        local x = currcells[i]
        local y = currcells[i+1]

        local newstate = NextVal(x, y, minx, miny, maxx, maxy, emptycells)
        if newstate > 0 then
            newlen = newlen+1 ; newcells[newlen] = x
            newlen = newlen+1 ; newcells[newlen] = y
            newlen = newlen+1 ; newcells[newlen] = newstate
        end
    end

    -- now go through emptycells and add any births to newcells
    for k,v in pairs(emptycells) do
        local x = minx + (k % gridwd)
        local y = miny + (k // gridwd)
        
        local newstate = NextVal(x, y, minx, miny, maxx, maxy)
        if newstate > 0 then
            newlen = newlen + 1 ; newcells[newlen] = x
            newlen = newlen + 1 ; newcells[newlen] = y
            newlen = newlen + 1 ; newcells[newlen] = newstate
        end
    end

    if newlen > 0 then
        -- newcells is a multi-state cell array so ensure length is odd
        if newlen & 1 == 0 then newcells[newlen+1] = 0 end
    end

    -- delete the old pattern and add the new pattern
    g.putcells(currcells, 0, 0, 1, 0, 0, 1, "xor")    
    g.putcells(newcells)
    if direction < 0 then
        g.show("reverse")
    end
    
    return newcells     -- return the new pattern
end

--------------------------------------------------------------------------------

function SlowPattern(currcells, minx, miny, maxx, maxy)
    -- Create the next pattern when transition[0] > 0 and we have to examine
    -- every cell in the grid (so very slow).
    -- currcells is a non-empty cell array containing the current pattern.
    -- minx, miny, maxx, maxy are the cell coordinates of the grid edges.
    -- This function must return the new pattern as a cell array.
    -- TODO cache rows to minimise the number of get calls
    --      requires completely different NextVal()
    
    local newcells = {}         -- cell array for the new pattern (one-state)
    local newlen = 0            -- length of newcells
    
    for y = miny, maxy do
        for x = minx, maxx do
            local newstate = NextVal(x, y, minx, miny, maxx, maxy)
            if newstate > 0 then
                newlen = newlen+1 ; newcells[newlen] = x
                newlen = newlen+1 ; newcells[newlen] = y
                newlen = newlen+1 ; newcells[newlen] = newstate
            end
        end
    end
    
    if newlen > 0 then
        -- newcells is a multi-state cell array so ensure length is odd
        if newlen & 1 == 0 then newcells[newlen+1] = 0 end
    end

    -- delete the old pattern and add the new pattern
    g.putcells(currcells, 0, 0, 1, 0, 0, 1, "xor")
    g.putcells(newcells)
    if direction < 0 then
        g.show("reverse")
    end

    return newcells     -- return the new pattern
end

--------------------------------------------------------------------------------

-- user's startup script might want to override this
function RandomRule(reversible)
    local reversible = reversible or true
    local rand = math.random
    local rule = numstates.."PCA"..numneighbors..",0"  -- avoid strobing rules
    if reversible then
        local states = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
        for i = 1, 15 do
            rule = rule..","..table.remove(states, rand(1,#states))
        end
    else
        for i = 1, 15 do
            rule = rule..","..rand(0,15)
        end
    end
    return rule
end

--------------------------------------------------------------------------------

-- allow alt-R to create a random pattern with a random rule
local saveHandleKey = HandleKey
function HandleKey(event)
    local _, key, mods = split(event)
    if key == "r" and mods == "alt" then
        SetRule(RandomRule())
        RandomPattern(nil, 20, 20)
    elseif key == "v" and mods == "alt" then
        if reversible then
            direction = direction * -1
            if direction < 0 then
                g.show("reverse")
            end
        else
            g.warn("Rule is not reversible.")
        end
    else
        -- pass the event to the original HandleKey
        saveHandleKey(event)
    end
end

--------------------------------------------------------------------------------

-- and away we go...
StartNewCA()
The following rule can be used to display the icons I posted earlier for PCA_5. This will mean there are some funny icons used for a range 1 LtL rule and other 16 state rules using NewCA.lua, but I don't think it's an issue. Currently there's no built in way for NewCA.lua to change the icons.

Code: Select all

@RULE R1,C16,M0,S1..1,B1..1,NM
Icons for Partitioned Cellular Automata (PCA) rules which are simulated with
PCA.lua (and NewCA.lua which relies on the LtL Golly algo)
These icons are for 2 state PCA with 4 neighbours

@ICONS

XPM
/* width height num_colors chars_per_pixel */
"31 465 2 1"
/* colors */
". c #000000"
"B c #FFFFFF"
/* icon for state 1 */
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"...............B..............."
"..............BBB.............."
".............BBBBB............."
"............BBBBBBB............"
"...........BBBBBBBBB..........."
"..........BBBBBBBBBBB.........."
".........BBBBBBBBBBBBB........."
"........BBBBBBBBBBBBBBB........"
".......BBBBBBBBBBBBBBBBB......."
"......BBBBBBBBBBBBBBBBBBB......"
".....BBBBBBBBBBBBBBBBBBBBB....."
"....BBBBBBBBBBBBBBBBBBBBBBB...."
"...BBBBBBBBBBBBBBBBBBBBBBBBB..."
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 2 */
"..............................."
"B.............................."
"BB............................."
"BBB............................"
"BBBB..........................."
"BBBBB.........................."
"BBBBBB........................."
"BBBBBBB........................"
"BBBBBBBB......................."
"BBBBBBBBB......................"
"BBBBBBBBBB....................."
"BBBBBBBBBBB...................."
"BBBBBBBBBBBB..................."
"BBBBBBBBBBBBB.................."
"BBBBBBBBBBBBBB................."
"BBBBBBBBBBBBBBB................"
"BBBBBBBBBBBBBB................."
"BBBBBBBBBBBBB.................."
"BBBBBBBBBBBB..................."
"BBBBBBBBBBB...................."
"BBBBBBBBBB....................."
"BBBBBBBBB......................"
"BBBBBBBB......................."
"BBBBBBB........................"
"BBBBBB........................."
"BBBBB.........................."
"BBBB..........................."
"BBB............................"
"BB............................."
"B.............................."
"..............................."
/* icon for state 3 */
"..............................."
"B.............................."
"BB............................."
"BBB............................"
"BBBB..........................."
"BBBBB.........................."
"BBBBBB........................."
"BBBBBBB........................"
"BBBBBBBB......................."
"BBBBBBBBB......................"
"BBBBBBBBBB....................."
"BBBBBBBBBBB...................."
"BBBBBBBBBBBB..................."
"BBBBBBBBBBBBB.................."
"BBBBBBBBBBBBBB................."
"BBBBBBBBBBBBBBB................"
"BBBBBBBBBBBBBB.B..............."
"BBBBBBBBBBBBB.BBB.............."
"BBBBBBBBBBBB.BBBBB............."
"BBBBBBBBBBB.BBBBBBB............"
"BBBBBBBBBB.BBBBBBBBB..........."
"BBBBBBBBB.BBBBBBBBBBB.........."
"BBBBBBBB.BBBBBBBBBBBBB........."
"BBBBBBB.BBBBBBBBBBBBBBB........"
"BBBBBB.BBBBBBBBBBBBBBBBB......."
"BBBBB.BBBBBBBBBBBBBBBBBBB......"
"BBBB.BBBBBBBBBBBBBBBBBBBBB....."
"BBB.BBBBBBBBBBBBBBBBBBBBBBB...."
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB..."
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 4 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
"...BBBBBBBBBBBBBBBBBBBBBBBBB..."
"....BBBBBBBBBBBBBBBBBBBBBBB...."
".....BBBBBBBBBBBBBBBBBBBBB....."
"......BBBBBBBBBBBBBBBBBBB......"
".......BBBBBBBBBBBBBBBBB......."
"........BBBBBBBBBBBBBBB........"
".........BBBBBBBBBBBBB........."
"..........BBBBBBBBBBB.........."
"...........BBBBBBBBB..........."
"............BBBBBBB............"
".............BBBBB............."
"..............BBB.............."
"...............B..............."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
"..............................."
/* icon for state 5 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
"...BBBBBBBBBBBBBBBBBBBBBBBBB..."
"....BBBBBBBBBBBBBBBBBBBBBBB...."
".....BBBBBBBBBBBBBBBBBBBBB....."
"......BBBBBBBBBBBBBBBBBBB......"
".......BBBBBBBBBBBBBBBBB......."
"........BBBBBBBBBBBBBBB........"
".........BBBBBBBBBBBBB........."
"..........BBBBBBBBBBB.........."
"...........BBBBBBBBB..........."
"............BBBBBBB............"
".............BBBBB............."
"..............BBB.............."
"...............B..............."
"..............................."
"...............B..............."
"..............BBB.............."
".............BBBBB............."
"............BBBBBBB............"
"...........BBBBBBBBB..........."
"..........BBBBBBBBBBB.........."
".........BBBBBBBBBBBBB........."
"........BBBBBBBBBBBBBBB........"
".......BBBBBBBBBBBBBBBBB......."
"......BBBBBBBBBBBBBBBBBBB......"
".....BBBBBBBBBBBBBBBBBBBBB....."
"....BBBBBBBBBBBBBBBBBBBBBBB...."
"...BBBBBBBBBBBBBBBBBBBBBBBBB..."
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 6 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB..."
"BBB.BBBBBBBBBBBBBBBBBBBBBBB...."
"BBBB.BBBBBBBBBBBBBBBBBBBBB....."
"BBBBB.BBBBBBBBBBBBBBBBBBB......"
"BBBBBB.BBBBBBBBBBBBBBBBB......."
"BBBBBBB.BBBBBBBBBBBBBBB........"
"BBBBBBBB.BBBBBBBBBBBBB........."
"BBBBBBBBB.BBBBBBBBBBB.........."
"BBBBBBBBBB.BBBBBBBBB..........."
"BBBBBBBBBBB.BBBBBBB............"
"BBBBBBBBBBBB.BBBBB............."
"BBBBBBBBBBBBB.BBB.............."
"BBBBBBBBBBBBBB.B..............."
"BBBBBBBBBBBBBBB................"
"BBBBBBBBBBBBBB................."
"BBBBBBBBBBBBB.................."
"BBBBBBBBBBBB..................."
"BBBBBBBBBBB...................."
"BBBBBBBBBB....................."
"BBBBBBBBB......................"
"BBBBBBBB......................."
"BBBBBBB........................"
"BBBBBB........................."
"BBBBB.........................."
"BBBB..........................."
"BBB............................"
"BB............................."
"B.............................."
"..............................."
/* icon for state 7 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB..."
"BBB.BBBBBBBBBBBBBBBBBBBBBBB...."
"BBBB.BBBBBBBBBBBBBBBBBBBBB....."
"BBBBB.BBBBBBBBBBBBBBBBBBB......"
"BBBBBB.BBBBBBBBBBBBBBBBB......."
"BBBBBBB.BBBBBBBBBBBBBBB........"
"BBBBBBBB.BBBBBBBBBBBBB........."
"BBBBBBBBB.BBBBBBBBBBB.........."
"BBBBBBBBBB.BBBBBBBBB..........."
"BBBBBBBBBBB.BBBBBBB............"
"BBBBBBBBBBBB.BBBBB............."
"BBBBBBBBBBBBB.BBB.............."
"BBBBBBBBBBBBBB.B..............."
"BBBBBBBBBBBBBBB................"
"BBBBBBBBBBBBBB.B..............."
"BBBBBBBBBBBBB.BBB.............."
"BBBBBBBBBBBB.BBBBB............."
"BBBBBBBBBBB.BBBBBBB............"
"BBBBBBBBBB.BBBBBBBBB..........."
"BBBBBBBBB.BBBBBBBBBBB.........."
"BBBBBBBB.BBBBBBBBBBBBB........."
"BBBBBBB.BBBBBBBBBBBBBBB........"
"BBBBBB.BBBBBBBBBBBBBBBBB......."
"BBBBB.BBBBBBBBBBBBBBBBBBB......"
"BBBB.BBBBBBBBBBBBBBBBBBBBB....."
"BBB.BBBBBBBBBBBBBBBBBBBBBBB...."
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB..."
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.."
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 8 */
"..............................."
"..............................B"
".............................BB"
"............................BBB"
"...........................BBBB"
"..........................BBBBB"
".........................BBBBBB"
"........................BBBBBBB"
".......................BBBBBBBB"
"......................BBBBBBBBB"
".....................BBBBBBBBBB"
"....................BBBBBBBBBBB"
"...................BBBBBBBBBBBB"
"..................BBBBBBBBBBBBB"
".................BBBBBBBBBBBBBB"
"................BBBBBBBBBBBBBBB"
".................BBBBBBBBBBBBBB"
"..................BBBBBBBBBBBBB"
"...................BBBBBBBBBBBB"
"....................BBBBBBBBBBB"
".....................BBBBBBBBBB"
"......................BBBBBBBBB"
".......................BBBBBBBB"
"........................BBBBBBB"
".........................BBBBBB"
"..........................BBBBB"
"...........................BBBB"
"............................BBB"
".............................BB"
"..............................B"
"..............................."
/* icon for state 9 */
"..............................."
"..............................B"
".............................BB"
"............................BBB"
"...........................BBBB"
"..........................BBBBB"
".........................BBBBBB"
"........................BBBBBBB"
".......................BBBBBBBB"
"......................BBBBBBBBB"
".....................BBBBBBBBBB"
"....................BBBBBBBBBBB"
"...................BBBBBBBBBBBB"
"..................BBBBBBBBBBBBB"
".................BBBBBBBBBBBBBB"
"................BBBBBBBBBBBBBBB"
"...............B.BBBBBBBBBBBBBB"
"..............BBB.BBBBBBBBBBBBB"
".............BBBBB.BBBBBBBBBBBB"
"............BBBBBBB.BBBBBBBBBBB"
"...........BBBBBBBBB.BBBBBBBBBB"
"..........BBBBBBBBBBB.BBBBBBBBB"
".........BBBBBBBBBBBBB.BBBBBBBB"
"........BBBBBBBBBBBBBBB.BBBBBBB"
".......BBBBBBBBBBBBBBBBB.BBBBBB"
"......BBBBBBBBBBBBBBBBBBB.BBBBB"
".....BBBBBBBBBBBBBBBBBBBBB.BBBB"
"....BBBBBBBBBBBBBBBBBBBBBBB.BBB"
"...BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 10 */
"..............................."
"B.............................B"
"BB...........................BB"
"BBB.........................BBB"
"BBBB.......................BBBB"
"BBBBB.....................BBBBB"
"BBBBBB...................BBBBBB"
"BBBBBBB.................BBBBBBB"
"BBBBBBBB...............BBBBBBBB"
"BBBBBBBBB.............BBBBBBBBB"
"BBBBBBBBBB...........BBBBBBBBBB"
"BBBBBBBBBBB.........BBBBBBBBBBB"
"BBBBBBBBBBBB.......BBBBBBBBBBBB"
"BBBBBBBBBBBBB.....BBBBBBBBBBBBB"
"BBBBBBBBBBBBBB...BBBBBBBBBBBBBB"
"BBBBBBBBBBBBBBB.BBBBBBBBBBBBBBB"
"BBBBBBBBBBBBBB...BBBBBBBBBBBBBB"
"BBBBBBBBBBBBB.....BBBBBBBBBBBBB"
"BBBBBBBBBBBB.......BBBBBBBBBBBB"
"BBBBBBBBBBB.........BBBBBBBBBBB"
"BBBBBBBBBB...........BBBBBBBBBB"
"BBBBBBBBB.............BBBBBBBBB"
"BBBBBBBB...............BBBBBBBB"
"BBBBBBB.................BBBBBBB"
"BBBBBB...................BBBBBB"
"BBBBB.....................BBBBB"
"BBBB.......................BBBB"
"BBB.........................BBB"
"BB...........................BB"
"B.............................B"
"..............................."
/* icon for state 11 */
"..............................."
"B.............................B"
"BB...........................BB"
"BBB.........................BBB"
"BBBB.......................BBBB"
"BBBBB.....................BBBBB"
"BBBBBB...................BBBBBB"
"BBBBBBB.................BBBBBBB"
"BBBBBBBB...............BBBBBBBB"
"BBBBBBBBB.............BBBBBBBBB"
"BBBBBBBBBB...........BBBBBBBBBB"
"BBBBBBBBBBB.........BBBBBBBBBBB"
"BBBBBBBBBBBB.......BBBBBBBBBBBB"
"BBBBBBBBBBBBB.....BBBBBBBBBBBBB"
"BBBBBBBBBBBBBB...BBBBBBBBBBBBBB"
"BBBBBBBBBBBBBBB.BBBBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.B.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBB.BBB.BBBBBBBBBBBBB"
"BBBBBBBBBBBB.BBBBB.BBBBBBBBBBBB"
"BBBBBBBBBBB.BBBBBBB.BBBBBBBBBBB"
"BBBBBBBBBB.BBBBBBBBB.BBBBBBBBBB"
"BBBBBBBBB.BBBBBBBBBBB.BBBBBBBBB"
"BBBBBBBB.BBBBBBBBBBBBB.BBBBBBBB"
"BBBBBBB.BBBBBBBBBBBBBBB.BBBBBBB"
"BBBBBB.BBBBBBBBBBBBBBBBB.BBBBBB"
"BBBBB.BBBBBBBBBBBBBBBBBBB.BBBBB"
"BBBB.BBBBBBBBBBBBBBBBBBBBB.BBBB"
"BBB.BBBBBBBBBBBBBBBBBBBBBBB.BBB"
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 12 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
"...BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"....BBBBBBBBBBBBBBBBBBBBBBB.BBB"
".....BBBBBBBBBBBBBBBBBBBBB.BBBB"
"......BBBBBBBBBBBBBBBBBBB.BBBBB"
".......BBBBBBBBBBBBBBBBB.BBBBBB"
"........BBBBBBBBBBBBBBB.BBBBBBB"
".........BBBBBBBBBBBBB.BBBBBBBB"
"..........BBBBBBBBBBB.BBBBBBBBB"
"...........BBBBBBBBB.BBBBBBBBBB"
"............BBBBBBB.BBBBBBBBBBB"
".............BBBBB.BBBBBBBBBBBB"
"..............BBB.BBBBBBBBBBBBB"
"...............B.BBBBBBBBBBBBBB"
"................BBBBBBBBBBBBBBB"
".................BBBBBBBBBBBBBB"
"..................BBBBBBBBBBBBB"
"...................BBBBBBBBBBBB"
"....................BBBBBBBBBBB"
".....................BBBBBBBBBB"
"......................BBBBBBBBB"
".......................BBBBBBBB"
"........................BBBBBBB"
".........................BBBBBB"
"..........................BBBBB"
"...........................BBBB"
"............................BBB"
".............................BB"
"..............................B"
"..............................."
/* icon for state 13 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
"...BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"....BBBBBBBBBBBBBBBBBBBBBBB.BBB"
".....BBBBBBBBBBBBBBBBBBBBB.BBBB"
"......BBBBBBBBBBBBBBBBBBB.BBBBB"
".......BBBBBBBBBBBBBBBBB.BBBBBB"
"........BBBBBBBBBBBBBBB.BBBBBBB"
".........BBBBBBBBBBBBB.BBBBBBBB"
"..........BBBBBBBBBBB.BBBBBBBBB"
"...........BBBBBBBBB.BBBBBBBBBB"
"............BBBBBBB.BBBBBBBBBBB"
".............BBBBB.BBBBBBBBBBBB"
"..............BBB.BBBBBBBBBBBBB"
"...............B.BBBBBBBBBBBBBB"
"................BBBBBBBBBBBBBBB"
"...............B.BBBBBBBBBBBBBB"
"..............BBB.BBBBBBBBBBBBB"
".............BBBBB.BBBBBBBBBBBB"
"............BBBBBBB.BBBBBBBBBBB"
"...........BBBBBBBBB.BBBBBBBBBB"
"..........BBBBBBBBBBB.BBBBBBBBB"
".........BBBBBBBBBBBBB.BBBBBBBB"
"........BBBBBBBBBBBBBBB.BBBBBBB"
".......BBBBBBBBBBBBBBBBB.BBBBBB"
"......BBBBBBBBBBBBBBBBBBB.BBBBB"
".....BBBBBBBBBBBBBBBBBBBBB.BBBB"
"....BBBBBBBBBBBBBBBBBBBBBBB.BBB"
"...BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"..BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 14 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"BBB.BBBBBBBBBBBBBBBBBBBBBBB.BBB"
"BBBB.BBBBBBBBBBBBBBBBBBBBB.BBBB"
"BBBBB.BBBBBBBBBBBBBBBBBBB.BBBBB"
"BBBBBB.BBBBBBBBBBBBBBBBB.BBBBBB"
"BBBBBBB.BBBBBBBBBBBBBBB.BBBBBBB"
"BBBBBBBB.BBBBBBBBBBBBB.BBBBBBBB"
"BBBBBBBBB.BBBBBBBBBBB.BBBBBBBBB"
"BBBBBBBBBB.BBBBBBBBB.BBBBBBBBBB"
"BBBBBBBBBBB.BBBBBBB.BBBBBBBBBBB"
"BBBBBBBBBBBB.BBBBB.BBBBBBBBBBBB"
"BBBBBBBBBBBBB.BBB.BBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.B.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBBBB.BBBBBBBBBBBBBBB"
"BBBBBBBBBBBBBB...BBBBBBBBBBBBBB"
"BBBBBBBBBBBBB.....BBBBBBBBBBBBB"
"BBBBBBBBBBBB.......BBBBBBBBBBBB"
"BBBBBBBBBBB.........BBBBBBBBBBB"
"BBBBBBBBBB...........BBBBBBBBBB"
"BBBBBBBBB.............BBBBBBBBB"
"BBBBBBBB...............BBBBBBBB"
"BBBBBBB.................BBBBBBB"
"BBBBBB...................BBBBBB"
"BBBBB.....................BBBBB"
"BBBB.......................BBBB"
"BBB.........................BBB"
"BB...........................BB"
"B.............................B"
"..............................."
/* icon for state 15 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"BBB.BBBBBBBBBBBBBBBBBBBBBBB.BBB"
"BBBB.BBBBBBBBBBBBBBBBBBBBB.BBBB"
"BBBBB.BBBBBBBBBBBBBBBBBBB.BBBBB"
"BBBBBB.BBBBBBBBBBBBBBBBB.BBBBBB"
"BBBBBBB.BBBBBBBBBBBBBBB.BBBBBBB"
"BBBBBBBB.BBBBBBBBBBBBB.BBBBBBBB"
"BBBBBBBBB.BBBBBBBBBBB.BBBBBBBBB"
"BBBBBBBBBB.BBBBBBBBB.BBBBBBBBBB"
"BBBBBBBBBBB.BBBBBBB.BBBBBBBBBBB"
"BBBBBBBBBBBB.BBBBB.BBBBBBBBBBBB"
"BBBBBBBBBBBBB.BBB.BBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.B.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBBBB.BBBBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.B.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBB.BBB.BBBBBBBBBBBBB"
"BBBBBBBBBBBB.BBBBB.BBBBBBBBBBBB"
"BBBBBBBBBBB.BBBBBBB.BBBBBBBBBBB"
"BBBBBBBBBB.BBBBBBBBB.BBBBBBBBBB"
"BBBBBBBBB.BBBBBBBBBBB.BBBBBBBBB"
"BBBBBBBB.BBBBBBBBBBBBB.BBBBBBBB"
"BBBBBBB.BBBBBBBBBBBBBBB.BBBBBBB"
"BBBBBB.BBBBBBBBBBBBBBBBB.BBBBBB"
"BBBBB.BBBBBBBBBBBBBBBBBBB.BBBBB"
"BBBB.BBBBBBBBBBBBBBBBBBBBB.BBBB"
"BBB.BBBBBBBBBBBBBBBBBBBBBBB.BBB"
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."

XPM
/* width height num_colors chars_per_pixel */
"15 225 2 1"
/* colors */
". c #000000"
"B c #FFFFFF"
/* icon for state 1 */
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
".......B......."
"......BBB......"
".....BBBBB....."
"....BBBBBBB...."
"...BBBBBBBBB..."
"..BBBBBBBBBBB.."
".BBBBBBBBBBBBB."
/* icon for state 2 */
"..............."
"B.............."
"BB............."
"BBB............"
"BBBB..........."
"BBBBB.........."
"BBBBBB........."
"BBBBBBB........"
"BBBBBB........."
"BBBBB.........."
"BBBB..........."
"BBB............"
"BB............."
"B.............."
"..............."
/* icon for state 3 */
"..............."
"B.............."
"BB............."
"BBB............"
"BBBB..........."
"BBBBB.........."
"BBBBBB........."
"BBBBBBB........"
"BBBBBB.B......."
"BBBBB.BBB......"
"BBBB.BBBBB....."
"BBB.BBBBBBB...."
"BB.BBBBBBBBB..."
"B.BBBBBBBBBBB.."
".BBBBBBBBBBBBB."
/* icon for state 4 */
".BBBBBBBBBBBBB."
"..BBBBBBBBBBB.."
"...BBBBBBBBB..."
"....BBBBBBB...."
".....BBBBB....."
"......BBB......"
".......B......."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
"..............."
/* icon for state 5 */
".BBBBBBBBBBBBB."
"..BBBBBBBBBBB.."
"...BBBBBBBBB..."
"....BBBBBBB...."
".....BBBBB....."
"......BBB......"
".......B......."
"..............."
".......B......."
"......BBB......"
".....BBBBB....."
"....BBBBBBB...."
"...BBBBBBBBB..."
"..BBBBBBBBBBB.."
".BBBBBBBBBBBBB."
/* icon for state 6 */
".BBBBBBBBBBBBB."
"B.BBBBBBBBBBB.."
"BB.BBBBBBBBB..."
"BBB.BBBBBBB...."
"BBBB.BBBBB....."
"BBBBB.BBB......"
"BBBBBB.B......."
"BBBBBBB........"
"BBBBBB........."
"BBBBB.........."
"BBBB..........."
"BBB............"
"BB............."
"B.............."
"..............."
/* icon for state 7 */
".BBBBBBBBBBBBB."
"B.BBBBBBBBBBB.."
"BB.BBBBBBBBB..."
"BBB.BBBBBBB...."
"BBBB.BBBBB....."
"BBBBB.BBB......"
"BBBBBB.B......."
"BBBBBBB........"
"BBBBBB.B......."
"BBBBB.BBB......"
"BBBB.BBBBB....."
"BBB.BBBBBBB...."
"BB.BBBBBBBBB..."
"B.BBBBBBBBBBB.."
".BBBBBBBBBBBBB."
/* icon for state 8 */
"..............."
"..............B"
".............BB"
"............BBB"
"...........BBBB"
"..........BBBBB"
".........BBBBBB"
"........BBBBBBB"
".........BBBBBB"
"..........BBBBB"
"...........BBBB"
"............BBB"
".............BB"
"..............B"
"..............."
/* icon for state 9 */
"..............."
"..............B"
".............BB"
"............BBB"
"...........BBBB"
"..........BBBBB"
".........BBBBBB"
"........BBBBBBB"
".......B.BBBBBB"
"......BBB.BBBBB"
".....BBBBB.BBBB"
"....BBBBBBB.BBB"
"...BBBBBBBBB.BB"
"..BBBBBBBBBBB.B"
".BBBBBBBBBBBBB."
/* icon for state 10 */
"..............."
"B.............B"
"BB...........BB"
"BBB.........BBB"
"BBBB.......BBBB"
"BBBBB.....BBBBB"
"BBBBBB...BBBBBB"
"BBBBBBB.BBBBBBB"
"BBBBBB...BBBBBB"
"BBBBB.....BBBBB"
"BBBB.......BBBB"
"BBB.........BBB"
"BB...........BB"
"B.............B"
"..............."
/* icon for state 11 */
"..............."
"B.............B"
"BB...........BB"
"BBB.........BBB"
"BBBB.......BBBB"
"BBBBB.....BBBBB"
"BBBBBB...BBBBBB"
"BBBBBBB.BBBBBBB"
"BBBBBB.B.BBBBBB"
"BBBBB.BBB.BBBBB"
"BBBB.BBBBB.BBBB"
"BBB.BBBBBBB.BBB"
"BB.BBBBBBBBB.BB"
"B.BBBBBBBBBBB.B"
".BBBBBBBBBBBBB."
/* icon for state 12 */
".BBBBBBBBBBBBB."
"..BBBBBBBBBBB.B"
"...BBBBBBBBB.BB"
"....BBBBBBB.BBB"
".....BBBBB.BBBB"
"......BBB.BBBBB"
".......B.BBBBBB"
"........BBBBBBB"
".........BBBBBB"
"..........BBBBB"
"...........BBBB"
"............BBB"
".............BB"
"..............B"
"..............."
/* icon for state 13 */
".BBBBBBBBBBBBB."
"..BBBBBBBBBBB.B"
"...BBBBBBBBB.BB"
"....BBBBBBB.BBB"
".....BBBBB.BBBB"
"......BBB.BBBBB"
".......B.BBBBBB"
"........BBBBBBB"
".......B.BBBBBB"
"......BBB.BBBBB"
".....BBBBB.BBBB"
"....BBBBBBB.BBB"
"...BBBBBBBBB.BB"
"..BBBBBBBBBBB.B"
".BBBBBBBBBBBBB."
/* icon for state 14 */
".BBBBBBBBBBBBB."
"B.BBBBBBBBBBB.B"
"BB.BBBBBBBBB.BB"
"BBB.BBBBBBB.BBB"
"BBBB.BBBBB.BBBB"
"BBBBB.BBB.BBBBB"
"BBBBBB.B.BBBBBB"
"BBBBBBB.BBBBBBB"
"BBBBBB...BBBBBB"
"BBBBB.....BBBBB"
"BBBB.......BBBB"
"BBB.........BBB"
"BB...........BB"
"B.............B"
"..............."
/* icon for state 15 */
".BBBBBBBBBBBBB."
"B.BBBBBBBBBBB.B"
"BB.BBBBBBBBB.BB"
"BBB.BBBBBBB.BBB"
"BBBB.BBBBB.BBBB"
"BBBBB.BBB.BBBBB"
"BBBBBB.B.BBBBBB"
"BBBBBBB.BBBBBBB"
"BBBBBB.B.BBBBBB"
"BBBBB.BBB.BBBBB"
"BBBB.BBBBB.BBBB"
"BBB.BBBBBBB.BBB"
"BB.BBBBBBBBB.BB"
"B.BBBBBBBBBBB.B"
".BBBBBBBBBBBBB."

XPM
/* width height num_colors chars_per_pixel */
"7 105 3 1"
/* colors */
". c #000000"
"B c #FFFFFF"
"C c #A0A0A0"
/* icon for state 1 */
"......."
"......."
"......."
"...C..."
"..CBC.."
".CBBBC."
"CBBBBBC"
/* icon for state 2 */
"C......"
"BC....."
"BBC...."
"BBBC..."
"BBC...."
"BC....."
"C......"
/* icon for state 3 */
"C......"
"BC....."
"BBC...."
"BBBC..."
"BBBBC.."
"BBBBBC."
"BBBBBBC"
/* icon for state 4 */
"CBBBBBC"
".CBBBC."
"..CBC.."
"...C..."
"......."
"......."
"......."
/* icon for state 5 */
"CBBBBBC"
".CBBBC."
"..CBC.."
"...C..."
"..CBC.."
".CBBBC."
"CBBBBBC"
/* icon for state 6 */
"BBBBBBC"
"BBBBBC."
"BBBBC.."
"BBBC..."
"BBC...."
"BC....."
"C......"
/* icon for state 7 */
"BBBBBBC"
"BBBBBC."
"BBBBC.."
"BBBC..."
"BBBBC.."
"BBBBBC."
"BBBBBBC"
/* icon for state 8 */
"......C"
".....CB"
"....CBB"
"...CBBB"
"....CBB"
".....CB"
"......C"
/* icon for state 9 */
"......C"
".....CB"
"....CBB"
"...CBBB"
"..CBBBB"
".CBBBBB"
"CBBBBBB"
/* icon for state 10 */
"C.....C"
"BC...CB"
"BBC.CBB"
"BBBCBBB"
"BBC.CBB"
"BC...CB"
"C.....C"
/* icon for state 11 */
"C.....C"
"BC...CB"
"BBC.CBB"
"BBBCBBB"
"BBBBBBB"
"BBBBBBB"
"BBBBBBB"
/* icon for state 12 */
"CBBBBBB"
".CBBBBB"
"..CBBBB"
"...CBBB"
"....CBB"
".....CB"
"......C"
/* icon for state 13 */
"CBBBBBB"
".CBBBBB"
"..CBBBB"
"...CBBB"
"..CBBBB"
".CBBBBB"
"CBBBBBB"
/* icon for state 14 */
"BBBBBBB"
"BBBBBBB"
"BBBBBBB"
"BBBCBBB"
"BBC.CBB"
"BC...CB"
"C.....C"
/* icon for state 15 */
"BBBBBBB"
"BBBBBBB"
"BBBBBBB"
"BBBBBBB"
"BBBBBBB"
"BBBBBBB"
"BBBBBBB"
Edit: Fix bug in PCA.lua preventing it from starting up.
Last edited by wildmyron on October 7th, 2019, 11:22 pm, edited 2 times in total.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 4th, 2019, 8:49 am

wildmyron wrote:
October 4th, 2019, 7:18 am
Very interesting Brian. Have you been able to stabilise the growing end of that puffer / gun pattern - or have you found a more regular gun?
No to both questions, I will probably explore PCA_12 today.
wildmyron wrote:
October 4th, 2019, 7:18 am
I decided to take a foray into the world of NewCA.lua ...
A very good start. The pattern editing functions, in particular rotations, need work. Look at rotateClockwise and rotateAntiClockwise in Selector.java.

My preference is an implementation of PCA on LifeViewer. Although that program has become so complex that each addition or improvement seems to break older capability.

Brian Prentice

wildmyron
Posts: 1465
Joined: August 9th, 2013, 12:45 am

Re: Partitioned Cellular Automata

Post by wildmyron » October 4th, 2019, 10:33 am

bprentice wrote:
October 4th, 2019, 8:49 am
wildmyron wrote:
October 4th, 2019, 7:18 am
I decided to take a foray into the world of NewCA.lua ...
A very good start. The pattern editing functions, in particular rotations, need work. Look at rotateClockwise and rotateAntiClockwise in Selector.java.
Thanks for trying it out. I had thought about needing to bitshift the cell states when rotating patterns but didn't get around to implementing it. I don't have access to the copy of RPCA I downloaded previously atm, and bprentice.webenet.net seems to be unavailable currently. But I think I know how to deal with rotations and the NewCA.lua functions for doing so can be replaced by PCA.lua. I'll give it a go later this weekend.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

User avatar
rowett
Moderator
Posts: 2189
Joined: January 31st, 2013, 2:34 am
Location: UK
Contact:

Re: Partitioned Cellular Automata

Post by rowett » October 5th, 2019, 2:13 pm

bprentice wrote:
October 4th, 2019, 8:49 am
My preference is an implementation of PCA on LifeViewer.
I'll put it on the backlog.
bprentice wrote:
October 4th, 2019, 8:49 am
Although that program has become so complex that each addition or improvement seems to break older capability.
I'm not sure it's every addition. Perhaps 1 in 3... :)

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 5th, 2019, 8:16 pm

An archived collection of patterns using an assortment of RPCA rules:

Golly.zip
(5.91 KiB) Downloaded 78 times

Run each of the 21 patterns using the lua script here:

posting.php?mode=reply&f=11&t=4098#pr83734

To get a good feel of the behavior of the RPCA rule family, run each pattern in both the forward and backward direction by toggling the alt V key. Watching the evolution of these rules has the same appeal as watching 1D CA's evolve.

Brian Prentice

wildmyron
Posts: 1465
Joined: August 9th, 2013, 12:45 am

Re: Partitioned Cellular Automata

Post by wildmyron » October 7th, 2019, 10:33 am

A 2c/1488 diagonal spaceship in PCA_4:

Code: Select all

x = 3, y = 6, rule = PCA_4
.B$B.B$.D$B2$2.B!
Interestingly, this pattern is also a high period spaceship in PCA_7 - because PCA_4 and PCA_7 are so similar - but in this case it is 3c/6534

Code: Select all

x = 3, y = 6, rule = PCA_7
.B$B.B$.D$B2$2.B!
There are probably many more corresponding interesting patterns to be found.
bprentice wrote:
October 5th, 2019, 8:16 pm
An archived collection of patterns using an assortment of RPCA rules:
My favourites:

I really like the interaction on a torus here.

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,1,11,6,4,5,7,10,12,13,9,14,3,2,8,15:T512,512
L!
Strange Sierpinski generator - even stranger in reverse

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,12,4,8,2,9,10,7,6,14,1,3,11,5,13,15:T512,512
A!
Edit: Some more spaceships in PCA_8 removed some patterns which actually come from PCA_9

8c/12544 orthogonal

Code: Select all

x = 2, y = 4, rule = PCA_8
.B$C$.I$J!
And a few oscillators:

p7248

Code: Select all

x = 5, y = 4, rule = PCA_8
3.A$H.D.B$.B$D!
p10216

Code: Select all

x = 4, y = 3, rule = PCA_8
B.J$.B.D$2.D!
Edit: Some of the PCA_8 ships I posted above actually belong in PCA_9. The c/39 and c/71 were already known, here are the other two.

2c/120 orthogonal

Code: Select all

x = 4, y = 4, rule = PCA_9
.J$B.D$3.D$2.H!
6c/1768 diagonal

Code: Select all

x = 3, y = 3, rule = PCA_9
A.D$.L$B.D!
Last edited by wildmyron on October 7th, 2019, 11:49 pm, edited 2 times in total.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 7th, 2019, 2:15 pm

wildmyron,

The collection of assorted patterns can be downloaded from:

http://bprentice.webenet.net/PCA/PCA_Assortment.zip

The collection now includes 42 patterns. All of the patterns were found by Square Cell. To do so the simulation speed was slowed and the random pattern density was set to 1%.

How can I get Golly to accept this:

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,1,11,6,4,5,7,10,12,13,9,14,3,2,8,15:T512,512
L!
I would like to see your PCA.lua modified so that a directory can be opened and all the patterns in it can be loaded sequentially. For example, this would provide a convenient way to examine the behavior of each pattern in PCA_Assortment.

I will update the appropriate lists and archives to include your new spaceships.

Brian Prentice

User avatar
rowett
Moderator
Posts: 2189
Joined: January 31st, 2013, 2:34 am
Location: UK
Contact:

Re: Partitioned Cellular Automata

Post by rowett » October 8th, 2019, 12:22 pm

bprentice wrote:
October 4th, 2019, 8:49 am
My preference is an implementation of PCA on LifeViewer.
Experimental support for PCA has been added in Build 425. Please let me know if you find any issues.

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 8th, 2019, 4:57 pm

rowett wrote:
October 8th, 2019, 12:22 pm
Experimental support for PCA has been added in Build 425. Please let me know if you find any issues.
No issues, well done!

I would like to see your LifeViewer (especially the standalone version) modified so that a directory can be opened and all the patterns in it can be loaded sequentially. For example, this would provide a convenient way to examine the behavior of each pattern in PCA_Assortment.

Now with Bounded Grid support, this pattern:

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,12,4,8,2,9,10,7,6,14,1,3,11,5,13,15:T512,512
A!
can be run. Doing so, demonstrates both the beauty of the pattern and the excellent display capability of LifeViewer.

Brian Prentice

User avatar
Andrew
Moderator
Posts: 808
Joined: June 2nd, 2009, 2:08 am
Location: Melbourne, Australia
Contact:

Re: Partitioned Cellular Automata

Post by Andrew » October 8th, 2019, 6:56 pm

bprentice wrote:
October 7th, 2019, 2:15 pm
How can I get Golly to accept this:

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,1,11,6,4,5,7,10,12,13,9,14,3,2,8,15:T512,512
L!
No problems (assuming PCA.lua is running). Copy the pattern to the clipboard, switch to PCA.lua and type shift-O (or select Open Clipboard from the File menu.
I would like to see your PCA.lua modified so that a directory can be opened and all the patterns in it can be loaded sequentially. For example, this would provide a convenient way to examine the behavior of each pattern in PCA_Assortment.
No need to modify PCA.lua. Just do these steps:

1. Create a startup script. Here's the one I use:

Code: Select all

-- a startup script for PCA.lua
local g = golly()
-- change the files directory to show Brian's PCA collection
-- (NewCA.lua will restore the original directory when it exits)
g.setdir("files", g.getdir("app").."Test-scripts/NewCA/PCA/Golly")
g.setoption("showfiles", 1)
Call it PCA-startup.lua or whatever you like and put it anywhere you like (next to PCA.lua is a good spot). Modify the above g.setdir path to the desired directory containing your PCA patterns.

2. Start up PCA.lua and use File -> Set Startup Script to find and select the startup script you just created.

3. Quit PCA.lua and run it again. The left panel should now display all your PCA files and you can simply click on them to load them.

You can do lots of other user-specific changes in a startup script. See the Margolus example here.

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 9th, 2019, 9:59 am

Andrew wrote:
October 8th, 2019, 6:56 pm
No problems (assuming PCA.lua is running). Copy the pattern to the clipboard, switch to PCA.lua and type shift-O (or select Open Clipboard from the File menu.
Thank you for this and the startup script. Works well.

Brian Prentice

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 9th, 2019, 1:54 pm

The PCA demonstration here:

viewtopic.php?f=3&t=1622&start=1200#p83969

generates three knight ships.

(-1, 4)c1187

Code: Select all

x = 3, y = 3, rule = 2PCA4,0,2,4,3,8,5,6,14,1,10,9,11,12,13,7,15
L.B2$A!
(3, -1)c3330

Code: Select all

x = 3, y = 3, rule = 2PCA4,0,2,4,3,8,5,6,14,1,10,9,11,12,13,7,15
A2$F.H!
(-1, -4)c2721

Code: Select all

x = 4, y = 2, rule = 2PCA4,0,2,4,3,8,5,6,14,1,10,9,11,12,13,7,15
3.C$A.H!
Run them using either PCA.lua or LifeViewer.

Brian Prentice

User avatar
rowett
Moderator
Posts: 2189
Joined: January 31st, 2013, 2:34 am
Location: UK
Contact:

Re: Partitioned Cellular Automata

Post by rowett » October 11th, 2019, 9:58 am

A very slow semi-colon:

Code: Select all

x = 2, y = 4, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
.C2$.E$A!

wildmyron
Posts: 1465
Joined: August 9th, 2013, 12:45 am

Re: Partitioned Cellular Automata

Post by wildmyron » October 11th, 2019, 10:38 am

rowett wrote:
October 11th, 2019, 9:58 am
A very slow semi-colon:

Code: Select all

x = 2, y = 4, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
.C2$.E$A!
Incredible. 8c/288350 according to oscar.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 11th, 2019, 11:59 am

Two knight ships from the same rule:

(4,7)c/21223

Code: Select all

x = 31, y = 6, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
A26.2A$.H26.2H$D.H24.2D2H3$.H26.2H!
(-11,1)c/75146

Code: Select all

x = 35, y = 7, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
3.L28.2L$A3.B24.2A2.2B5$.H28.2H!
Brian Prentice

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 12th, 2019, 6:10 am

Rule 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15 is reversible, but does not have rotational symmetry. Each of the ships found so far have two versions, a single cell version and a domino version. The two knight ship patterns shown above include both versions. The domino version of the 8c/288350 diagonal ship is:

(8,-8)c/288350

Code: Select all

x = 34, y = 4, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
.C30.2C2$.E30.2E$A30.2A!
The two versions of each of the three orthogonal ships are:

(-1,0)c/1261

Code: Select all

x = 32, y = 3, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
3.B24.2B$A.D.B20.2A2D2B$5.B24.2B!
(0,1)c/675

Code: Select all

x = 31, y = 4, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
2.A25.2A$3.D25.2D$A.H23.2A2H$.H25.2H!
(0,-1)c/45

Code: Select all

x = 37, y = 3, rule = 2PCA4,0,2,4,3,8,9,5,14,1,12,6,11,10,13,7,15
.H.B28.2H2B$H3.B26.2H2.2B$.H30.2H!
Brian Prentice

User avatar
PHPBB12345
Posts: 779
Joined: August 5th, 2015, 11:55 pm
Contact:

Re: Partitioned Cellular Automata

Post by PHPBB12345 » October 12th, 2019, 7:33 am

PASTET for PCA usage:

Code: Select all

x = 3, y = 3, rule = PCA_1
#C [[ RLE input H.H! ]]
#C [[ PASTET EVERY 32 ]]
#C [[ PASTE input -32 0 ]]
.IC$IOF$LF!

Code: Select all

x = 3, y = 3, rule = PCA_1
#C [[ RLE input A2$A! ]]
#C [[ PASTET EVERY 32 ]]
#C [[ PASTE input 0 -32 ]]
.IC$IOF$LF!

User avatar
PHPBB12345
Posts: 779
Joined: August 5th, 2015, 11:55 pm
Contact:

Re: Partitioned Cellular Automata

Post by PHPBB12345 » October 14th, 2019, 12:30 am

Lattice gas behavior:

Code: Select all

#C [[
#C COLOR N 120 120 120
#C COLOR E 120 120 120
#C COLOR NE 160 160 160
#C COLOR S 120 120 120
#C COLOR NS 160 160 160
#C COLOR ES 160 160 160
#C COLOR NES 220 220 220
#C COLOR W 120 120 120
#C COLOR NW 160 160 160
#C COLOR EW 160 160 160
#C COLOR NEW 220 220 220
#C COLOR SW 160 160 160
#C COLOR NSW 220 220 220
#C COLOR ESW 220 220 220
#C COLOR NESW 255 255 255
#C ]]
x = 256, y = 256, rule = 2PCA4,0,4,8,12,1,10,9,13,2,6,5,14,3,7,11,15:T256,256
HD2OIHFAM2OBMEA2DL.HGFMOIFCLKG2IGCBAJDJHGDABKHKDMDOEHNMDOLKAEAIMJFAFK
H2BJCIONFNDKBJHJHJGEBCN2AK2HBOKH2CFBKNJL.CGFE.EC.HK2FEBDLCBJKHNKI2DAG
2BH.I2KCLDBC.LMAIM.KFLCOCMNEME2A.GDAOD.CBJIEL2AINOIMNO2JCGHBIKBLOJCDG
2.FBOFNHFL2BKMEFLO2CKNDH.JI.NDNFENJDJGIEA.KJALJMO$F.KJGAIEFGNCDHC2AIL
DGH2CDOFEDGBIK.JD2C.GJNOL2AGKHLID2.G.GFCH.OHG2AOHFJBGNFCMFK.DJ3E2KGJO
FDNKDEKANMJOKG2CBEHLMKBAFAO.FNHGA2KM2ACHLFJLMIO2AJBKCIGAJNMD2FKA3BNDF
BNOF2KM2FDOCOJNOKCJBIK2OLEFNIDNAGMEB.G2N.AEIDOABAEM.NI.IM2CODCGBFJLJL
IEAIAHBGLFLAMEHINGFGAKOJNKJO$MKJCLMFIEI2MDJGOI2OD2J2NIOBAFHNHEGEI2DBM
EGCLH2.FK2IMLAHM.LHOLCD.JBLCINONOKJMFNIHLHCA.KOGMJIKMEGOG2JGNCJKGNOFM
ODCMAEMAJ.H.MKNGLBF.IBJF.AMGCL.HCEJDF2OJDLFAILOEJCLO2EBAEDEAIF2BNEKMB
OGBECMJLEHADLD2CKGO2IK2MJFEINLMALB.2LB2OI.CEOGDCJ.ND2CIHAEG.LIMGFAJ2N
E2KGCBNCH$O.ODJFMEKANIOFOJNHK3CBKLCGJCA2.F2DLO2AFLHALB.HNGCAJNIDEIHL.
KHADFCMAGMLA.L.JBI2L2DHFKBCH.FE.LNCOMAHLHGOHNINOBA.DKBL2ICBFDGH3FGFDL
MGJMLJEGJEAJ2OD2BF2GBHN.IOIFOEHN.LAGIKJHJINMCNCF2M.OKNADEFCGOA2NOFB2L
GJMBI2GLJMKEDOLF4BI.HOHOAB.MK.FGENBFHIFALBLNHMFO3EKMIB$MHLGEFAEIGEAGF
NKCNCKE.ODMDHJMNIKANI2FEOK.KIF.LAMNFAEHDLAFDCEOGOLGNBK.BJHBCGOKGIH3CO
NJFHJFH2GILDENHCNOHDJNEK2LBOLAHNJMDLCGCM2JCLFOI2KONOMGEKHBHOEH2JMKLJL
A3JBKELAKBOKE2BFCO.DKMDOM2G3HLJOMJAMGN.AFBAJMJADIGCMGEF.NHJGDMEMHKJ2D
LBGHKCIMKGKHLEDBHLMEL.GBABJLJCOG$KMCFMGDACGA.MDFMHKGFO2IC.KFKFIMCFBFB
KINGDKNCF2LOBKMHMJCMHJNIKL2B.2MLHGL.GIADCBCGL.IELMJ2OCFIB.BIAJMEC2FIO
2EFNKJNCIMFEAICOHOME.GDHMH.JNGF.M.MNDBEGCHEMHJGLEB2KIJG2KGNLMLDJNANJM
NCDGAN2IMGNGFGJNH.GBC2BCDHN.CNHIEKGKMJKAB3CJGFD.DNOI.2G2AHIJBJDO2GBHF
EOLFBLH.BIFC$IJFLDCIEIJF.DI2H.IJMFH2AFCEG.KLBIHNI.GABHABNE2LKFMG2MFJ
2ADOE2OJ.BJAM.ECABI.DMBMCADJBFE.ING2.NMIGBNINHFM.MI.2IGMLACLJMIBELCL.
JDEFLOK.KEKHBCLEFK.INKMCKI.I.HCMNEMEIDGJIFOKCIG.NA.IDHLKHNKDHEMODFBFK
.E2CKMBIGOCKCEAFEOBLJHJ2EMADBFCGBKCEAJN.ENHC2MONHFHL2OICNBKEI.N$KHGAN
D.JOKFIMAFIMBO2KH2I.FDIMNHA2JAFG2IH.HFAODCNJE.NKBCHDLGDO2JAONOIJFB2EM
FIJCHFCJI.NMKOLMHGNJBIJFMFOHMDGCIN.KJA2JFDC.CLJB2OKO.LC.FENOJA2DLKBAD
G2KML2GO2JBNHENHI2GKAI2.BABF2NLAJFMOJF.DHLNDOICMCKBKEFDFDLNK2BJO2CMGA
LNLAFEG.FLGJHEOKGJFLEFHFHJOD.GIEBKB2GB2IDM.B$ABGAKDLIE2BHL2DGB.GJO2CD
BNHINMELMDC2AIHBMIM2E.C.BLJEJG.LBLINLHDNJEIJHEKGANEMLNEJDKGJG2MKIN.HC
AOHMKMHKGHONOAODAEHNHNOJ.MCMAGFIKJBA3IEDHJGHALD.OIOMIKDMICLNFH2AJMGMG
LOE2BF2BCLGD.LOMCFHKNLKNOMAJBICGO.HBHI.JEOHEKANG.NIODHMJM2NECDCFB2N2F
HDJELFG.OJCHJMFI.A.2BOGK$N.JDMNONOJMDAMANOMCDECANMDABFACLCNEF2B.KAOJE
KINK.OGKJAEG2NHOGCJADGCIMLN.HGOJEN2HGBGIBA3GDJLOKBNKGI2NMBJEFJFHBOL.G
FEC2ACEGIMGBC.FDHGC.EMOKNOMADGNKCJCD.NHEMEFEHJLALFK.2EBCKHJLKDIHGBH3A
KHMKAHMLHMJM2.BICFLGEGIB2ACICDE2L2HCO.BIMDCBLEMELIF2.KG2MKFJEMOJ.FHB.
JHA$DOAFHJLAMNHIOEB2GCGBOAFNCDBOGEDJNBIOJMDKNCLJBIEJDEJLOHACHMD.DEND.
OLAIC.KMAGIGKBKMHJGABKMIJINEDN2FDCBHDKANAFNMIJEBA.NAOBGEADOFN2.ELDGJK
EDLFD3.DMHOMBHGFGACDKDGBLF2LH.JMFI.DHJEG.NBO.OFHIJNCLHCGK2IG2IFI.2KE.
DBMDFAKFMIMCDNCKJN.FDCH2DJMEBA2OG2BFK2C2FGNCHJC2AGDO$EFN.L2CNBGFA2HGL
MLD2OHBA2FLHCBLB.KBEM2ENGOH.KJKGBIDAI2HJEA.LDHBAOGHL.G.BAHMFEAEMIHCNF
JMGAIMGFDCIBLO2NEFLKLH.FOIOEONGEDCHNFLEIJ.N.JNEL.HIBCFIOEBEADJNC.MFG.
NC2NKLH2IL.MLNLBOMNML.M2GFMOCALGBMBK2INCOMNE2HDIEJ.BCIBGABNCL2CLN.A.A
BLKFDGFHNMEFNBFICL2NFN2DOKHDIG.NO$CABLKCGN.OIEMNBHABLEFAIOHDBILBKLKCA
BKBENL2NOJFB2KFGDLIKFDENLIEH2C2I2C.CNGCDJ.JBHMKDHDCM2.KJBDGEBNJMKOKEF
MOAFDOMC2LAHBIDADCBKBOGBIHI3JBFAMEC2K.HJBJHGIHEMGMG2FEDEBFLMDBGMDMAHL
JKI2B.EG2CBMKFBKG.J2DBOFBKOJ.AKAMLFNHFIJBFK2IKGAHJFD.JGDOKONMED.O.BDG
B.ODGLILFCOGJ$.IADID2JI.AOACFDFNAM2GLBKJFJD.2DBCHAG.FCAIBAOGLABEFOHFL
.IC.JEFACON2.D2HI.O2NJOMFIKN.LGM.IJAHB2EJOF.EO.IHGFC2JBIKIAMKI2HKGO2I
B3GB.H.GACEMLDHGLO.2D.JFKG.FAB.NIA2N.DCIGCKNOBMIMDNCLAF2GJHNJBCKMAKNE
IC.DHBOGFNEJMGDOBLNJAGMAHGMKF2EJHAGOEFJHG.NK2E2OAGNA.EKHN.HNAK$MILBF.
2NOECJFOEKOLEBDCLFB.IGLFHBEFIJCHKIGJDANGKCG.BKAINDEFH.KGAKDB2OEJDNOD
2NEJGABCDO2.ACMA2DAJELELIDONENKI.FICMANJBKMK2.JGBJ2LAG2MKAE.N.FLDCEBA
GCDOMB.2NBJ.JH.BCENEKFB.EA2NLEJKAMOGDG2KLBHGNM2KCLA.IBIMGEJ2KB2FDOD.N
BKMOLMLMFHM.KF.CHNLHOKEHB.MNDKNMIEJDJOKCGHOL$NJDADAFCDF2OML.ELEKNOAMC
MBN2HMJBHEFJA2EI.LFIG2.JNBMDHLC2JFGIK.HEDMIHI.FGEMDBCE2BHMGOCIHBOIEOC
NHACDKCBOK.JCKECKMOMOCA.M.KOCOHBHGKLIFGEBFAOFHMGFJHGLGLMDNLEJIN2EJOLE
KLFNKNIJDGMNCNIEDBELGHABNOLNEBGBJOHNBECO.ACOHL2HEGDIFGJ2GHCBOBIBIJMNF
MACIHCKI2D2.NC2D2MGEGCECF$CFMIGA2BJOGIJFIOA2CKJIACOHGIHO3LKBHCOFMOILC
NLN.HCJCOIKNKNANILJKBJOE.2CMECDEGKADMBJKFK2GALGEKLND2JHLJLMIGNEOKEJOG
JBHCGIEHMCMEFLN.LILJOKBJDB.NDILDELAHOIB.LNFIC2JEAICJ2F.GMEJCALAIHMLEC
AEL.GBIA2BABIOBMJFLNFLJ.FKBEC.HMNKHJKBFCOGBHF.2GDMBHEH2CL.AIHEOH.KEJO
GNAMD$OHGEOKEGCHNAMFD.NO.BFEHBKLECOG.KCBN.KB2.EIFHCEG.HOJBG2JH2IGIEDG
HOCDANM2JOBN2BEDADLN2KONM2DJMJNKNMGBIG.MB2D2.CKGKOGA2IDLHG2.BGOAJLBGJ
ECAMJ.CHMDBM2KOEFKAKEJBLDCF.BIOGFCDFMBEMHOJA.CAJGLJOEME.FMDN2J.BDAFC
2BADIACIODKCOAHDHOJDAEMIHBINIDI2CELDCDGNMOJKOLOF2CKLIEB$DHF.NGAKAMFAH
E.DF2EOG.EHAJK.ONGIOC2LKGEKDIGCJFMD2O.JDHBCFOJECDCENBJFDI.IHAEAFMNCOF
GKDAOLJLB2CO.JNEJDMDLGC2OALFEMGNAOCMLOM2FBLMIHCEBLJFHLODMLFAGFMGADICH
AENFJI.MIEIADJOFHMBDJ.AMK2ODH2ODNOCJDENMN2F.CNDIGFDBEC2OA.O.JKOF2M.GH
GBMALJD.DOGHGDO2EHLGINFKDIEKJLIBGLAD$DCJCH.2HFH.DONBDLNCJMDKOE2JIJODA
BHN2D3HN.ANCGBF2NL2GOCIELMKDCNL.2AMD.2D.MLMFNADOJDEDJNOFM.A2GOA2NCGND
M.EHCLHAFO.JF2CMKCNHIGDJECE2MJICDILKCHKDJ.NC2FBA.MDAM2JCD2AK.CJDNBIGE
2L.HFIFGNMGBMKLHGHLONGNLKDODKJOJGHANMGAC.OAINIGBJID.IAJHNJBOH.O.ELHNF
HNONAIBALNMAJ2NI$A.GHM.LGDANDBK2J.CKM3JBHGFJBCHKNMFEJ.JAEJF2BDGOJD3BG
ADGHBEJNK2GINA.MKDINC.CA.NFAJALDKAJAF.HAJM.LO2KHAHMKNKJEMLNE2.MLKOJ.
2KA.H2EGH.D2ENCMGEMILEOIO2EOKICOIFIFK.GI2NFLONDLJ2MHLONCMHENEFLCAC2AL
GNM2EGLJIA2MELCA2GCGMLBDBN2OAJEHLIMHCNFEKO.BNJOMCLJGO2GIEKCIDCGKJ$MKM
IOA.DL2CIDFJAF.ADBMF3KNLHDFBFJGFNHNAKAGJGE.IBMDEGKNMNOLMG2M.2F.L2J2DF
ONDN.KJGEHKOIHKHCFKHGCIFI.KFKLILABIDMJLAHBO.GNLDIMHFJCHEJFGNDNE2FJNOH
O.ACNMBFLAD.LIHDEBILN.ABIDOKD2GBMNBNGNHNOCB.G2BIFD2MNKJF3LGLIANIHB.2M
DJIDLAOJKNGDEKEIBFILHAFJ.FNIGK.GI2LNHFMED.I$JN2.BMDHBIA.GHEBNMFGEG.DB
.GI.M2.KIBCAJDACMG.EFMOJBCIHEK.MIKNMKDBN.KGE.DMHIMCL2ECDACKMDHG.LBKJB
MNAOG2BGNLFCBOGBAKL2NKAEFD2MAGE.HEGB3ILBHFONLCMFJHJ2FL.CMINGKHGCOHNAC
MO2.2LFCKHKNFCGKH.CNANLONLOMG2HFMFM2NHIMGMJLIBH2JEIMHGDLNK.JH.CJFLNDJ
KND.H.BKLKAHBMHGANMACJG$IA.GFNKMGLI.L2MHLFLAGAJFNOAKJ2HONFIEF2.KNKHM
2OAKCMAJGOJFEB2ANBCF2BAMBI2JBGDFLKAC2NKNJ2MOGFLK.NIGDIGH.EJMKMOFEODA.
AFM.BEBIEJCONJGMHC.GE2AGBF2J.CMEJGKEIDH2ELGM2HBIJIOLMEKMLCLJDIHLKOJF.
BAKHAC2EINMHEADGN2HJEKBHEKNAJLOL2GBL.DFDCHCEB.NBEO2JLDMOG2IGLFGDNLHMK
HIJAG$M2.HMNGMLENEFMCK.CEKG2FLACOLINOICHNG.ECINBLMELMFOH2.FCM2HCBALKL
FCFCGC.JDE2CIAK.D2GCKG.I2MLGDJDIMAOAHB.ADMGKJANDJAJK.OHLOHLI2GMJ2H3FI
JO2JIDAGKGDJLDFOI.KHMOHGAFEKJH2.GKOEBJLH.I2G.BC2FOE.FJHKMF.AGHEOCBELF
DMC2L.DJDOEIDLMIFJDED2ICDEL2AEHFCFI2DFDFCAHKAENEHNA2OK$IEBNKHJBE2AIGC
IGN.CAJ.FOMFBFOI2HKLDAOBOFENDGJFEKANC2GJGAHEOGJ2ALCFD.JOFECGNEN.C.BEL
MGFMLEFDALNOKIMILKBGL.LIELHC2OEAMAONFNK.JOHKALGDEBFLMAOIKLJD2HI2.KJIA
EB.FIMOBAH.OKEBGDJ.LEFLDHMABINJFDCGIAOGMFNCMBCJ2N2GML2.EMDILNFCFJHFHJ
FDFLFMBA2DAGK2CDBIENBCKLBGLKBGJIMGL$MHIA.D2FBGDE.IC2FEHKAHLJDBNDN2DFI
JK.FAGKFIDHAGICIHKHL.JLHDJMHN2CEKEBI2OIOLFCDCN.ACIOKHKD2.DLGEMJOKO2ME
LNDFIOIHCJMJHOGCN.KMBIHGNMIDOHDAKDMLHCKEN2CMKELGADOKBL2E2DNMDGOCNL2NE
GE.FJAK2OA.HLIJLOIE.OMHGCNAINMG.EO.EDJKJ3MFOKCDIKCEJMGMBOE.MI2AECBINH
F2NEBDKAOIFDMJE$L2EMN2MCGBKCEH.ALMGCMIJGIABNGHG2MLGKG2LBA2LHJILIK.KLG
MFAJIDMJKFCJAHFBJHGK2LOFNB.EJKJEBF2ADK2NEFEDEFGH2CFK2ODI2GEL2CODNLGBK
ALE3FBHIG.GOJBL2BEHE.LAILD2JMFEFEMCHCBCDANKAHDFMG2HGBDCME.GHBOCIDEI2A
HOF.EH.NMOANOELFNIJLCHNBDEAGHDJNO.G.INGBOCLGFOEMEL3FEHMAE.KCIK$HFIKIM
BCDMENFLEB.C.EALCO2LCONOAFJMINDN.FJAOAHF.GI.COKMOKNM.2ADKHD2.GHKBLHCD
ADK.H.2EIGM.LIJKABFKEKDOBAENLIAMLO2.J.LDHJIKFD.MOGNDEIKDNI.HGAHJCN2KH
ENKBEM2GNIOI2BLJAEDHIEKEHOHEBHBHDBMOHMNC2JABGDNKJMCOJBAIOJLDMIHGJGJD
2BNGEGOK2DCLDKMD.HJ3LHAOB.KGMLJA2FK3ODI2KG$CDGEANEOL.GOEMBCFOGIOLHM.N
2AC2DMCGDCO.E.BCNOMHGF2CHI2HGDHLADO.DKFC2NLK.OHIODBELCFMI3DKOKNDAFDME
FBMIGFNKNF2CML.CI2MCJNMFEF2JAIJE.JAE.GIFKJAOEICEO.BO.IHKG.ODHL2CLMF2D
MONL.HLCKICBOBEK2LGLHFD2AGIEL.JMH.HFBC.KGIO2.2NMCHJ.C3.MDOMC.IGNLCBDF
OAFJB.EDFGN2.K2GLGMLC$NIAEHJICAG2.2FION2LJICJKHA2OIADKICHBILMJ2KLJLIC
AMAIFAIOEIOG.ELBGBDEFOECMNHNCAEGKFLHGMOHDH2IEJGANFIBFN.FLMHEBCFI2JAOJ
2GCB2EJHDAK.ILDHIGEADLJ.OKNBNOBOIHAD2EG2OJOH2EJBOL.LCEAFOINO.FLBKNBIE
FJCEIODIFMJBDLFC.H2KHBICMEDEGMDHDFONINAM.CHOJOACFHJMDGLBLNDJ2HEHFJK.J
AO$MOIEBL.HFKELIAMOLDCB.JMBDONABOAJMLIGFLKNHCLMECEAHFJOIJIJD.EMH.IDHM
GIFC2NKLEFCFCJDMDKD2JEDFMIBKFJNC.CHLHKG.DCEHNIDANHBOACGJNBD.H.FMN.DHL
BLHFALMOHCGLI.FBLIBJCKF2BNFDINLOINHCLFNBFAO2.JLDCI.OJEGHGJDO2JAILIOM
2.FEOEHD.LG.2OCDC.BCKEMHMJFDB.KALFGHCNL2MNM.DHF2KF2KE$3A2O2LHK2FMAG.M
.BMJHLBMH2AC.HM2CLHLGK.GIFNAK2.AF2LM.EGLJIM3GINLHD2.NBLBMEHJ.BIBJAJLM
BL2NAG.HOD.JHJF2E2.JCAEK.JKHJGN.GC2MHD.ADNIFAGCFADFIHLOGHA2.BJHKOME.I
2LK2MIJDEAGO.O2AIKBIBEFM2JBDNINFAD2E2JBFCG2IE2IDJKLDJGLJMDMBEF2JEIBEG
IE2.2K2NLOAOMI.AGACLBGIHLBKH2JMN$KHKMAEOM2CEL.DCD2NKNABKEDCJMEGLBMLGJ
MBNMBMDA.JF2JKBLJCLDMDAGEJEN.NAF2.ABDF.CIOFDAL2OFDCDJKGIEIOEMIMEJEAFH
NC2DIBHO.F.LBIMIHKF2M.ECBNG2IGOEGB2JDJHG2FJCAI.2KHCEBCBILNOKH.IH2MG2A
CL.EGHNHCFHLCDBMFIJHD.KEMKFGOANCBFLCLD.CFA.CL.JCG.H.NMCDO.HKLNDC2.OCB
JKAGJHDMJOAHE$2NIJLAKB.JECG.HMFCAFNGKFLMJKCENOKGIKLKHMDCBGFLIGEOLDG.J
MOKCGDE.NDJMEIDOIC.H2AMACDM.BDHOEJGAHCHG3HAMGFLGAHFHENEK2CDNOAGJMFHCK
N2OH2IJHL2NIN2EONHFIAKEBDB.MKGBG2FKNFDBNHF.KCIOH2CNCDOEFI2CGCGMCHNMLA
2KIOHFAD2.KEOKEFJOACNKNIKMFOIOGJDLEKIBGHDAO.2JHMLAHDJELEBMGJND$LNMN.J
BOD2GMIFCBLK.L.EBGAIDEKM2F.FNID.2NBAHLONJBI.OAKDABCHDBG.JHMGLFKDKLBFO
LDBFALHGOHCGK.MANLOIF2BF2NBILO.NFIAKOIKFJHGDEJ2AELNBE2HBKBJILEGCG2OCE
JLABHKLFMKHCF.GBLAFGMABOKOFL2DJCAOHKE.GAHMCDHAO.CGOMABKCL2IADLODEOGHI
GKOCEIGN.2OFLDHBIMNKBIDMIAJCHBLNJFBKOLIC.BD$GAHEOJFOACNCH.CN2.JLKFC2E
CJG.HE2ODJOHLD2LBILMLMDH2JKFKEKJEHANEFGJM.DJ2IDCBFNDJEHKGFOEONOLEIFCH
GJNBM.ABIABAMHCOFMBA2NJMBFCBIECGKC2FMBH2KAKLOKMANOKBKNHCJ2MEN.CKI.D3H
GNGNIKGHEMLEKOCENEOHNDJECBKM.DO.2GI2JBLNLCBLMIDJKJ.F.A2HD.JIH.OKLJOMF
AO.BIEHC.GEMN2KGMNHFKFA$ABNHMLILIHLOFHMJFLBNOCAHJCMJE.NFHJNFJHL.FOGNB
NBHEGANLMHCGL.NMOFCOGJHGMKLGMA.DN2AEBNMLFEKC2L2IMCMNAINCA.NLEFHD.INA.
MEFMC2JDAOBDM.DO2KMKDHMHJKJMJONKL2ADL2OBKCO.NAHEK.AHEIG.NLNHINCNBKAB.
CIANIFECLEAO.LICEMFLADCLJONDNHDOI2HJIKILHN.HO2FOKIAHO.JK.JMNEGILKB2IF
AGKC$LJ2.JHM.M.BLDHA.OIHMOFMKBE.GJ.2COCLIMNFD.BCO2.LGAOEBMEJDJGMDEHLH
MN2MEKBN.BANEILHIFBAOCOJEIJCAH.JCIKBFINMAFJAONENHAGIOB2HA.LKJM2ID2MNC
BGLMCG.JOJOEBDFHIF2ENAFMIGMJ2AHLI.IGHMCAODFKF2HACIMN.BK2CKIEJAE2BKOEB
IDNGMKOFHNBAIEMCB3DHEKFANBHO.GJDKHDB2JIGFOFJKML.KGMCD$JC.IHIDEAEBDEIA
KLAOBMKIGOADJ2BEAEIG2AHFBNFAGIKML2NIB2MO2G.BLH2JOGNJMDMACAJH.IDIE2KDG
A2NDEHGKLCNJ.CGFKCFJAN2LEDLFI.LCG2EMJAKD2NBF2HFG2KGEMIHDMO.G2B2GNKHJB
2ACOAG.LGL2JKIHKNEGALOJEB2F2AONLJFDLFDMAGFJ2KDBGNFAMHIHLNCDKJ.A.LADAM
NK.LK2AICFB2GOMDNBD.DCGNIFLADCIHA$LGOMKI.EFA2OKF.DANJIJI2GCAMLNOHKLEO
2HAMEBD2AOHFAN2MIMOIH.AB.HOBCNOCAHLIEKAH2BIHCMKEH3C2DBDMLHAHGKM2DJIMO
GLBHLA.FEOMO.J.G.AD2.I2BLIOHADNOBNBFGMCFCFMDEFH2FNDGB.BA.OAMHBAFKJANI
LBDKNOAEA.GILNCJOBKC.HIN.FB2E2A.A2JNGJFI2HDMHCELBCAMID2EKIK2BC.B.AKJI
F.KJEOAGEJ.FO$F2ADCBCJNOKJGI.FOJI2JMIE.AKGBAKIFBHIFBMFL3FDCKOD2F2ODI.
FEMKG.FLEMKDABLOAOCLBCML.AGOGJA2EA2CDAJMIK.ECHJBLKNOKOEF.J2BJNJMIHOEA
NAGDBF.KLABEJLCF2CLE.CDM2AHEFICG2DOIGK2FKNM2I2LK.M2IKCNEKCO.GHCKG.BFH
BJOF.HKAH.NIGLK.EKDHAEJAKJAMEGNAMO.DJAFEG2CIJ2ABGHLHNBIGLNLADK$HKGIBN
.NJHG3LBIGO2.MOAJHI.EN2C2FJDMLEHO.G2AJEL2A2C.DHAHKDFE2GHFM.DOCJNKDNKJ
LKHJGFND2OI.I.GFEGLCIKAEKGK.K2CL.HJBJKFLIHGMCBG.D.KNOEAD2HAIAJCBALFM.
C.DKHKEOMEJ.2DOHFBCIMN2FCMBJKCHGLFKMKFDJNKNDHGHD.NINMG.AKBGENMH.N2.HA
M.EAKDGHIBICIMEABIBJIHIBOLHAOCON2H2LEGACN$EMBGLHGLNFEAL3IMG.DFJ2ANDO.
FN.2LFCNLDAKNAFLCHL.GOHD.CDLAIO2J.IJHCNMO2NBGJBDAKMGCEICNK2OCH.2AFGEI
FCLNANDNKNDH.BNF.ODNHCKGIL.JBIBGNJEOMDOEMEHGKEOIFOGOEF2HC2DFICNO2FCFH
DFOCA2MDAJNHIAM.LIEHGHBFHME2D.HLFIHNCO2HDHLDICBN.E2G2KJH.NE2NH2FDKDJI
LDH.LACDBHGK.JKB2IB2F$OC2FAHKLJCIC2IF.ALJB2GLDBLJBJM2EL.H2GJICJME2AFM
GHC2FDACDKNID2CMBH.NH2G.NK2JEC2ML2GM2EHBLECBNKGOMJFHEMOE2GK2OEB.2EDMD
MI2.GF2OFMNMLGDNBGMLBKEO2KELBCBIMADMACH2IOBD.AIO.GBHFBHFGEIHBJOJFDHGE
OMKEMCKM.2IOMOLBCNCJA.F.ICOFJIMANKGKHMCDKOJDLC.LAIJ2DOKO.HOLNG2DNGOIH
MH$HFCBCINIBIBKDHLFGH2B2ABLHKCEMIDKGDF2A.BAFEAIFI.OGI.ABJ.KJNHKBKDH2.
DINOFJBKFGELJEDFJEFAGA.KMFDCDCOFB2JLABGOJIJGEOKACGED.FEDBGJ2KHAKAGD2N
2L.EBNFEOMEKBEGH2KGBDL.DLMCNBICKENJE2HI2MDKI.IALILM.BAEKLN2LMEKFC.EFN
LDBKOIOLE2MBENOEL2.NGCNLANADMHKJNANCDCMCJL2O2MFCAMEO$BAMDFEBMFBDC.NLG
.EIOHBGD.JKCALNHNJNGJ.NOBCLODKICEKGMLINK.AM2KABGBOBKD2A.OEFDGAEJMNBKD
2NIFKECNEJDINBEHBE.AOAKHJD2H.CFKDEHBMHBGFCOHCDLGNJG2DFKCFJALDLMJABOJH
D.AEK.HDFEDFO2GEJLCHOCFEIMJAHJKLCFGHBJICBGL.JIDNKH.JMBJNAFBCLNGCGM.KM
FABLJOF.OIHBHBI.NB2EHGLDKHE.ODMAG$OMDEJFIC2IAFOFIMNLABLCLENDEFGA2FEL
2BFD.H2BGLMGHM2DMEDH2N.BI2N.GHOEKGMGCI2CMFMGBFCFHC.KILJLK.LHCGLJK.HJC
JGFDOBENHOLOLOB.OBJBI.HGICIMFMOAIKCKBL2DLAKGCNHFAO2BEJ2HKCNCBAJBIENIM
JN.CKBAKJM.BDGFAIAK2.OJAGEOHAHALHNAFDAHFNEIKF2GIHCEHDA2LBNALAMOMBEFGJ
2AICFJ.ENGMC.BH$ADK2AGECNGJMCID.BIMF.OBK2CBICAMON2ELEGIDFLFLBE.FGLEDL
ABNKL.LOBGEIM.H2J2OAOMGHFBCIJNFL.LFNHAGODOIGCOELO2LJNGOJAEKAOI2CHDF2E
CGFLJCDHONGLFJEFECKLEKNDO.BGD2LMLOIDOEALGDCJFDIODEO2CGDM2DKAFLIFLMIJF
GFJIDGDGIHLHDFHA2NMIGKMEDGC.EGBJKAJ.NIOGDHODCAOCF.AEO.GBJFBMFABJL$IAE
AN.2HEFBCMC.L.EMEF.NM.AEDE2GMIOGOJBK.BJIFG.CIN2OBF2MECGBAOABHBACHMDGN
KBHA2JGJ.DFNKIGOD2JAID2AOCOMGKD2NAKEAHKIB2CDJADFNILFLKMEMIL.H.KFB2GHA
F.GEIDLJH.IC2DF.B.IBH2DKNKBF.LMDCJKCODBOEJBMDGEIMFIL2NKMHCGLEDJMDOG2K
CAKECBJ.DHNBO2KGJ2H2DC.ICD.CHFDOAEAFMCOLFE.MLO$KMB.CLDMA.JA.LOKIJDI3O
HIH.BAMDJICLFGOHCHFCGM2COMF.JDH.LKOBF.F2KMKG.H.LMAG.NFMCGKM.FMOLCMJFH
MCLK2DNCKH2KBICLIFCNBANIEF.IN3.DOCJOGFEA2C2FABJBMGJHCJBFDKCFANF.2MAJK
MLMBEMLND.K3GJBAOHE.NAKIBLCL.DEMOMKEKNLEHNKMJLEK.AGDNAKENOMDBDCKE.GJA
JEOJBHGBHDHDGOND.FADAIJI$GBEFBEKJDOEANOBENAELNGHDOADNGKFOALEKNHCIHKEG
2FACFL2GIKNODLBFDLDILENKNHAH2GHGMGHBKOA2FLNLKEIHLI2AH.NBI.CMK.OMEBNC
2D2MGBKJIC.2OBMLNJOGFANCALIDM2KNINBKIFGDHMJGLNIGJ.CGJ.E2O.NHFHLEL.OEH
IJIGFDOBHLGA2HKIF.OALOHKHN.DFAMNMLDOKFA3MIM2FODBJ2IMI.HKBC.KLGEL2GMIB
MGB2E$.KANLEOJ.MENHFLFCF.GFAKLDGD.JMAHBCDFAHMKFBCACEAN2IHAEOHF.JDJNMO
KO2ICOEGION.HADHFCEIJHJOBABCHIABLO2ABCL.NI.CAFINBIFBIBNGC.LNL.NMDJOIA
GBOIFD2NGIONJCNCEHFEICJEG.FEDAHND.MC.BKOGBJ.JC.NALIOBMJDOCGFDB.HACFOF
OBDFDB2E2HCDBJMFLGJIL2KILM.ENGEOKDOEDLBLNOGMFJGF.2JC.OL$HAFCDGAHGEKAB
KNHIBIEFHKIJDBDLMENMCLCB2HCBEMO2HCKJIDCKO.M2BJLNBN2K.KAOA.IJCKIDNFMDI
KL2C2.AMH3EAFIAHNKGBGOB.EOCF2E.OHGDELDGMBHNFMFMFKFBH.G2BE.C2DML.BKCKA
LMBIALFEJGNKLN.BANON.NDB2F2DEHOHCKLMCAOIOMGBIMHB.NBEBIMAOCAJFN2C2GLDE
C.AIM2A2FCNMI.AJMFKOGBO.GIMNDLDHOKI$ANGNLCELKOIELHKCBN.OCFHFCBOBN2DJ
2FMLCBFK.OFJFKJDJENGMEHLJM2FGF2CO2E.OGOCKCLFHMB2ACHDKBDALOIGBOAJHJFOD
KLCNBI.AJGFHMFCINIAHKNKJKIAE.H.FIKDG.G.KAMHDCJCOBFBDEA2MLJ.NLHIFCNGDL
J.CFLD2BOAFGO.LKNCBJEIEC2.ANHD.DOG.B2OGDONEMGAE2FIC2NEA2ENHD.OG2A.JAB
GKO2IAJFCF.IF2HJF$2MFHEDLANGBCHFDCOFIANDFMBKNFDLBHNEKIE.JNBI.MO2GBK2G
HNKCNMGJCLC.MOB2I2AF.CFCG.MO2L.CNBO2MEBIHBI2BOGMA.A.LJHOMOICOEGHEIGCK
NECAHOIJG2AKICKNFH.KJNKFABNOANK2AELKLKEBCLFABIKJLIONB2D3ACOFBJO.E.AMI
M.HNMOMOIOHKMCBGLIM2CHC2HOADGB2FHB.LKOMBOB2LH2FJC.2ADMAGCDBMCJDFOM$NG
EMBDH2BFGFJ.LBDBECHMF2GHAHN.OAHKGFLM2EHNLADEN2.JA2NKCMJIGLNBGDLAJ2GHF
KDGCGMH.GFHMCHFL.M.HCHLHG2.OM.EOLC.DG2JLKMHIG2IGEGLONCDGAOJBEA2H2GDN.
ODAGFBNADBJIGFCMBCIDINLNCKIGJLOCNBNBDM.HGEB2.2E.FGHI2HOGNKMLK2MBJ2EHC
J.2BIJINJAI.DNAKNEOHIC2AFHM2AJ.EGFHCKAIBFMJOAKG$E3FEMKGIFKGB.EHBNF.DK
JOEDIDOJ2NDADMHBIJEGNBIAOGJGODAOICELAK2NJAILIDCFAMA2O.AFEMAEIMA.DCGDJ
AF2DCMAMLFO2LKBJGDFEBD2ID2MEHGMCKNDEANFOGOCEKLODHKMAFEOLCIHGCFDIMOMG.
DOLIKBHG.ANIKJKBMAJFKHJMNC.J2OGLIJHCFKEFJC.OKCKHLDHGEJMHMBGIB2DMB2DHJ
DN2FGA.LAIAGJ2AHMCMJDHOJE.O$FEKMOJGLEA2.C2.AKBNBDGD2O2ICIB.JE2BGMI2HL
OFHNDMBKGBDG.GIOLHK.AJNGM2IHFJAKIGMNCBH.BIFNGF.EGOMLJHAGCJIEJIGFIDFAH
2OJEKEDM.ON.BC2JFDHNIMFODCGADMAB2L.BJODICKBG.EFCBOEGF2LHLE.BL2JFOJOF
2CDFC.MKA2JKMEM.KLHICGHGJ2EMBAIJL.MECFBGIL2NKOGHKDFMAJNKGHJ2CMJEGECJL
IJBGEHKAO$AMFM2CNIGBGLNJOFAJOBILF.E.CONEH.NHENKLEH2NGMGHJKEGLHDJO2KB.
D2EKEHMKAGBC.E2OFGHGBDHNIB2EAHDKANHGJ2.G2NOHGDOBA.I2MBFAE2CJC.OM.KNKC
NMB.HDGIJFOJCODCIDKOE2.HL2IOJOLMNANBIGFJLHLOMAJEJFLIEJOCNEKHIE2MEBIMD
.JGFE4LKNMGOGLEOMLB2KFMEBNDL2MN.HKJKOLBH2OBIKEILGDIKDKMO$3IN2CBJCABE
2GFBEN2KG2CMKEHB.J2H.LNLEFADMABMDGH2KN.JHEDBJHICOCM.OHBEACME.KGEM.HE.
BKOMDCA2COFMGAHLBHECIKFHNIOED.DNE2M2JDNMEGL.LGIAL2KFNAF3GHBLMEBAOLOF.
G2FGEKMFCAF2DAIHOFM.CFCOMBKGBNLA.CM2.OFGOCKEONJLCGEHOAJH2IDBFEBCGOMNA
MLEOGCHLA.KJNO.OEGMO2JKOA2FBLDFGDEMN$ABFK.DEGIJDCNCDNKIEGNHK.A.KEAMAN
MIOLM.NFL.K.IKH2MHOEGL2GNHFO.FDJMFO.JCJIOFCFBCEKEIABCNAHG.MGLCJGKCMHG
BCMC.HK2BJ.OM.H2KBKGK2A2ML.DEHFCEBFON.BADF2MBJAD2F.BFKAKDCJ.A2L2ID2AL
I.2GOKHOFHBGJAOKB2LINCJE.MG.JCLAOHGBKL.LHGIH.NMBDGDCKADMBMEOEIJDGBFMA
IKIMKHJL2CMKHFML$IB2OM.ILMFOBEFM2DFMOA3BKLMDBHFJGHJHEDNIKEB.G2NJ.MK2A
JKEJLIDKG.LEBELD2MGCKCBHNBMFGCLFN2BGEGMLDCNOMHALDC2HOC.HNMJ2HNOIAECBL
MHDLJAJCIL.EMBFEIAB.2DL.MHFJBNBDHMN.ENMKHEB.MG2NJOAHNJOMLE2DMOCKB2DHD
EKIL2ALFAH2EANMF.DHBEJOIMGLOH2MKAHMLHKBO2AC2BANH2EGBHM.OEJML.B.OC$DCF
CLB.A2ODL.KCOBMGOBNHNJCBHGDIG.DBHOMDFN2JHOKJMCIGIJGAG2NDK.AD.HFEBOKHI
NCKCBH.FEHCHFL2HDJ.C.ENILJMICILOIEKGJB2LK.GMFENANBNLGAEGCOBH.F2DMGF.G
LGEAGIJFLGJHJ.CEKMGKO2HNIDMOMFKHNLDHNJBDOJFAF2DGLKNHCMDNICHLIKDJFKAFB
CIJC.L.CAMKDFIEN2HCFLJEFCJI2COIOLABACADNIJK2GO$C.M.NBLBCOFJOL2HGICOCD
AM.NIK.KLOJG2HMC.GFJDBDJ2OJFDGCMKENGINBNC.HLBMOFLHCILC.M2A2CBNG3DAKHB
HAMBAD2LNJBLHKBJIGH.J2NKCA.NOFE2GHOLBCDBEDI2FLIHA.AI2O2BGEHOFBDNAMOAJ
G.ONLKLFDL2MELBELBKFAFNKFHFI.EHDKB3ACAJGCKLELGHE2MLMFGJDLAOBNDMHGHBDN
O2GMC.FDOKJMOHGHACKFACLGO$JBEBFKOHIA2FEBMIEDEJE2NJOI2G.H.LHJNBAB2FEOD
HIFOKELDEMHLJLCIHDHMGH2MFDIKND2GK2FGFBDC2JOI.OACEH.2BCEHBOBEKFMJCGHC.
GMECB.MDEBDCFJIJ2I.FAGNAB.3CHEJFDIJKOFGNEGFECJDNLAEFEDNFLA.AF.NHAGIJC
.B2D2BKNDM.MOBJM2GEKO.GFK2MKAKAGNG2FCMLAEKAGLOGEG2J.A2GCNAKCFMBMB.INE
MKI.M$JD2BFGKLEMGKDHDMNINIKGAOI2LGIE2HJHFNMCHNMAJCNJ2KIGIMLAE.ILHBGHE
MIE2HBMHFBF.GFMDO2EGFBGHFBFBFBM.CBHBFIKHDFCFLGN.FCGN.FKGNCANJHAEJILIM
EKEAELGLOLDCIN.LDFCKCOKFCECKHIMCFMBN2.FNH2J2CHJFD.2LNLBD2OJHOAF.MGACN
MAMKCJMFMBNKLIFGEGLCKNICDIJFDIDOJA2.ABNLDKDALA2G.GHFHDB$DOEJO2AJGOJBM
I.MC.O2GILE.BKCMJEMDJCHCAFHALINGNGHE.FI2AIAGJ2FLIMNMLFMJLDIOAGO.MJHMO
AJOFD.IEGNGBH.AFNB2NLBJIG.KDOLAFKLAM.EKMDEMGFG2FBADHA2OJFL2GBLJ2IAD2A
FEHBI2MJ.JGFCBNFEFILACMLK2IMLDCLFIGKEGNI2ABHFKJD.HG2KLDLAFEBOMDJ2NJIH
FJIHGIOBAJEHIAOHNMB.OGLNGNH.AL2NEDFI$KMOEDAEJB.BFCM2CHDLNKNBGFDEFMCKE
GKEJDEDNBJ2CDNC2MAMCNDHF2HGOGEGCGMI2NA2BNB.NHOKIMLCBEFOIHGDGIJLBAHL.O
GEOCG.G2CEL2CM.DOJCNOIOGFMKAOKL.JBE2DCNLBNBKMGDLM2BGJMG2EBNFAN.JCBMJB
FBCHGOK.CDNDAJI2O.2EBDKIGMF.BHDEOFKEABONB2HKCINOMJ2HJ.M.A.HCN.JMNJCO
2AHELGHNIFGKMGKFGL$BHDKGB3HJ2.H2NJNOF2HOCOMNMJM3J2E.MDHCJBDJLHCBCBDN
2EBGKO.KFI2EFHBAFAFDK.BL2OMIN2GNGFAJIAFKLJMNDEJNI2NCEDHAMDFA.JI2GBKFC
.BNB2IMOKC2HJIKMDEOKAI2LNFJO.B2HLANLMHLMOAHDAEI.NDE2LENJLGMJCNMBON.ML
MIJMBF2.BLDE2OFJO2L2BDCNIEBHOELJOBNGCA2.G2FDJON.A.KGIMFC2ECLHENJHJE$I
KDGINLMK2GKNHDKGKONBFCF2HEJMHDF.AEKCGEGCDOB3FEFDMIHFEHML2E2DIBCECOCDK
MHLMJGBFOLJDC2BHLFMOGMF.2OEHI2NIMOFNKN2GCJALJ2LHNAOFHEIGNGLIOEANABE2M
HDNFELEL.KEC2EI.F.LHE.EGINKIDIMI2NCFLFNGDJBG2N.ILB2NIEFH2KDNLOMGLM.GA
JLKBJCBOCAJNHC2ILAJHANCH.D.GNAHOMAGMN.OBLHMCD.M$C.CDMOCBNAH.FDF.EBJLI
OB2GMON.HLC2JFNDIMNG2EONC.MKIL2IJFIEFHFKLD.I2OBHEIBGJDJBGDFNMI.MAJKHD
2ACNENACJH2.IBEKHKCOHMCGLCEK.ODABKL.NBGBAKBJMKA.NOBNEICJKDNA2LCBNODFA
ILIGEDHLAOLNB2MHLOIF2EDCEFIAKHKEHANJAJDMAL.K2AHMNO.2IEGOBDEDKFO.NCEBI
DKJCIJ.IK.GCB2JDFBKFKBINIDKO$BOAKE.OCACFICKGCJNGJ.BDLMGLAIBDKEIFA2JKJ
2ANO2C3DOKOJHKFGH2DNGJIMLGJADAEOFEIBFEO.MLIHJC.IHBEOANJKNGBF.DNIABHFI
GJHCIMNBAOKA2DAHCEMABGD.JEAOEKBAD.HJLBNOMOJ.OBGD.JDEAGDNMB.FKBJLN2F2I
MGEAELIEOCENDHECBMGHGFLKOMJGKNO.GI2JNJOALEMIDGH2GFNJNIB2DM.BDALIF.KGB
HCIKMCND$GDBEBIBI2FBAG2HOH2IB2IJNMO2NGCNHDIFME3CA.LJH.BDB.NEMJGJGMKH.
NLJODN2.KE.CI2A2JLCD2BG2F2EL.FLBHLMB2.OCFMKMBLJHNDBJ.GBJLNHGJONEKH.KC
NKMKGIELDIJGMD2GL2.OLCKIOCBEIEAOCHKHAFIBFCFEI.C.IKLFO.OHNMNHMKOED2HOH
ILMOKBMNHO.AO.MGOCLIDMKBGH.BNOE.OJ2BI.IGFOKAGNDGLMJKMBIKH$FHFNGEMNACO
ADELNAMC.E.F2HAIMOCKDHCHMHNGEKN.JMDMIGDGEDIKOGMALDLKJDBEOGCELEMJLKLI
2KFKDHOAECGNANMCBFCIJILFBCGJMLHCAL2G2KBFELFDCLD.NC.HCOGFAOAKELIAOBIL
2G2JEHI.KGBO2D3AKC2HLIANEBIAIHGHFBNAC.MBKOBGIHNKLFOBALI2.LFND2NLMJGO.
EN.OELAHEDHAJ.OMDLCEDEDNAEBAFMNJ2.OJ2BC$.FAOENDKCFODKLEHGDELGNJDOEMJB
LNHBCNJ2EGI.ENKEIGKFGFI2AIOGCGK2JKDK.OAHGFCFNBDHF.BGDJK.OJHOH2MFJECJ
2BMHN.O2LNJ2CF.ADJ2BONOJMEME2LHGE.HKLIGAHO2ICB3KMCEKIMCHDFHFDAODLM3FA
LEMNGNAFIKENGD.BIK2EKD.CGHDFLEMKGDKFJ2.I.BKFALMI2DBHMCIKIC.NOG2JEBEMO
L.F.JEA2LKCB.JKFGHO$FGCB.OHLNI2COFDILHCAB.HK2FLMA2I.F.J2NCGICMFEBIADO
B.KFJ2DKJONFCLC2HMOF.HAHCKBACABKE.D2.BJCMC2KHBI.EMAEDOJKJHK.GMIHOCBAL
GADLEFEMOJ3I2DFCEMK.NDM2CEGC3LKFNALMFJIFDCFDM2LKIA2MOACGEDEFADHM2CI2B
.IGKNGBHFGN2OGHCDNAE2GIN2KE.DGFI.KOLCHLJEAHCFN.OJIHFNCMANCDGDLKICLH$K
EOBH.KJ2DMHANKJBCMHENCH2NJB.CNDEGODEAH.DCKCGN2OFODEFOMHE2JOIAB.LDADBH
2MNIGBJK.EID.2KLJD.NCEOC2NIHNBOICMAJLJDNL2FBDEK2CDLKFGKAJLJHEAKMD3E.
2OBF2.GOLNFBIKNKJEIAMFG2BD.LAGFCD.F.NOLJLFMGLDBI2BN2OHF2JCDMFKF2OL3AD
FGOFCBOGNOEFGDHCOMJD.GDJ2IFHIBCDHC.AIGKJEGHDNBF$AKHGOL2OGB.NEOMFKOGME
CKDIFGBODN.B.MEKIL2G3NDBAFMHF2AKGDEOLIENMEJ2NIMJHCI2HMDKMEBJKIBNE.IG.
DECJMHCEHJGODBGKABCEAKIODBOCB2DHKLB.HMKFIDMOAKOBD3LMOFCOLD.ALICGELN.E
K.A2KILGOANJHLFJMEIHIOIMBH.KH2DOHNG.IAMNDFGHAMC.JK.LME.KLMOE.GOBA2C2.
MGLG2IKCNAJAFEODICOM2NJDLD$KBNLIMFEH2NOKALFIFBHCHDJ2IEGAGK2MEHKD2FHMJ
BALOJBDHGIJFCDOA2ELC.LCOFIL.JMLK.LAJ2LIADIGNEH.AKCNDHONBEO2HDGNLH2K.H
DKLFIGIJFNBOLHJBJELNFONFCACHJLDHCDLBMIO2HCKENIMAHEIDJFHDFLEIEAOGIGBIF
IACNANHD.GJ.COED.NFLIBLIGNCAJLEHABFBMIAMHFEOICJA.OFMKHNDKANKJDMFLKJEF
GBEMN2K$H2DLFNAFKAHCFNJDNB.D.HND.AGJHFIDIABA2.FNHAJFA.LMOGIFDKC.ELHM.
KM.JBJ2NCFDHLAKCDNCOELCLHK4FKLNJO2N2OIEFAGACABN2I2FJOMKJIKOMDBDBJBFOC
NLKEIKCHBFKLBDLAGBJGCODIDGMAGJOGE2OIFBLBEGD.HCFOKA2D.NKJDFCM2EBKENM2N
LDOMCE2DGH.HOFO.MOIBC.AJODNEIDN2HLOINDMH2KLJHMLBMFHNFAG$M2LOHGDK.E.FH
BGKLMCJO2MK.HOGEJH.INK.2C.AJL2FEMICOAODOCJCGHGKC.FJ.ALAFMNC.DMBMB2EFM
GCDEIDNACFBLBFJAGCBIEL2A.M2HIJN.O.E.EFODCMKI2CGBKHDO.AEAFK.JHBIHDEHGJ
ILOABE3DMICBK2L.IAM.2IEF.L.L.AEGNMCLGOAFGDGEABIL.I.BKIEHADF2BKGAEDHOD
AJ.IOEDAFIEFOEFH2C.D.BAMCEAEHJ2.FA$KCHA2C2.KDI2BEHCE.MFB.BJKHOGLMKLNE
GCMIEMFEHLJ2BLFOJLOJIHIADJHKMDGFOMGJ2CENFL.NBLAEDB.OCMIKD.AICOCEMEBND
BLF.I.GKBGF2EBAMFJLC.FCFNFKCA2CGAG.BJGKA.LBMBMGIHAEOCAMGJIOCFJHNCFKNI
.OKDOF2IJMGOMF2BMKFDL2EMGDL2AFCNCJFECM.H2AMBOHNFAJ2EF2MLGAFLGHIBIKLOA
MD.EHBNA2CIEHL$2DJKGLGNLHE.GCMIKGA.JLOKCJHDMJC.JAFCBJHKLGD2BGKBG2LHDI
BGMOACOGDHAKEK2AGOIDNCNCI2BGHJC.H2JNL.L2MCLDCOMNDLKJFOKF.IA.OHEIDCO2.
HELNGAIKFM.B3.IAJCGONLGCIMIMEK.GILIOMG.MDNF2OK.FJBJEILBOLMLHMAIHFECAE
DNMGO2FBKMKHAHFKMIMGKHMOACKJHDKCDOBHDO2LMLMNOABAKCBDAGN2G.KNGEC$IGDGF
MKOGKEKIDHD.KOBKJ2GKJMHLJCGO2LJ2BIF.KJBOHD.CAH2BIHKCN2.KNM.BJOFHNM.2O
GBIJKAJLCFMBMDBDKCDCDMGHMJEBHEOFCJLN2JOIOD2ALHO2KOIOLF2ID2CBCFDMOJK2L
JO.FBNCLCIJEFNKL2KJKOK2FKFJGBJNBCOFMGFLGJBILHFGLGDIENEMLFECADJGNELNCJ
FD2JHKJFAEHKC2LNFHD.2HOAKJ2DFE.BMGEJKNEAMLMA$N2HOCN2MLHLKIBL.FEJHEFJI
C.OMIHML2OKB.JLGCLMECM2.LGODIELNOGCLOIJGILOHMKFAHJCADNJBLNGOB.BGDHEAK
EIFE2KBKEBGLFIBDJK.BJFBGCF2N2FO2DCE2B.AHALNC.CMLOCIBGKINBDCNMAKDFAJFD
IHAL.CM2CGCLFGD.LMKDI.NIKJNKA.LO2KBGNJMGBDMFJKGIOIAEGEKOCAIKCOHAGKDHG
BMCEIOFHOADOIAD.2M2DEFAGD$CAHM.JABNHKMKIKFOAEJKG2KNFBMGMCGLDCFNLC2HBO
F.B.KDJCGMG.IBCK.LCMEJMHJBAEKGODKOGHAIHGODBJLBCKDCMNHIH.O2ADLACJCEDFD
2NHM2JF.2LDBJGD.L2.JMIOBACIGNGNHJMGAKECIHNFAKDKDNLIBHIFOGNGNEFHLICBIN
O2DAI2J.JFGN.CM.HNMKC.CBIODNHODIGNGLHBG2CGBCLB2CN2LMH3NL2NEC.B2CI2.AN
AI.DH$2KFLOL2HODEIOBFAMH.COJMFOHEBHCFCHGH.NBNCOJANH.HLND2GNIGHONLFDFG
2FEKG2JKINGLJNAGF2DE.CDFNM.OGOEFNDGMLJ2.MCFHFBELOCOENLOLGLFGAK2AOKL2H
FBNLN.CODONAGKNEFEKLHGF.FALDGONEAGKLEHEBCFJK.I.GOFK.OEIANOKEMFNOAIOHB
NO2LIMHE3FAFD2JNH2AIFNHFO.FDCHIANIJG2IDMFGEMAMFOEOHCFE$H.2DALDIBHKIGF
.JBCOMBG.EGNMGMEIJF.KHBGAC2LGHMAHLJMLM.EBDGAF2IKLD2OKIEBKD3MGBFJLNJBL
CNIEHG2C.GABIDFCGKGEBKFEMHOMDG2.NLKMA2OGILMLOAIEBHKGNACB.OFMLKAOCMOI.
ABD2GFEBEKN.A.AIHNMOFMOKLIOBEOMJEKJKC2DJKOJGDBFCEOIK.HBKLFHJKIHIMGJ2F
BLFKOLNC2OD2GFD.IL.IC.HLKOAILHFE.F$LJDAIEFOGN.2G.JK.NCA3HAGCJDJ2MFGIN
JLDM2.BANAOCFMAECDEDFLFMAMNLGHE2IG.FGH2J3NAMIGANELEL2DIDIMCMJHKNKMLNA
JEJGFBGCOLMBLEMJ2.NGCJCKHDLFCHK2AIGDAGFLGBIBGOHBHLEONJOAHADE.HJEKEIKA
DBLGNMGECGBEBMGBANGHGJEDJ.A.2DCH.LDEADF2.2KOAL2CNFBDE.NGALOFI2NBC.JDI
JNKJOBHDGENCE$IDHKIABDANENOJGOJANJAI2FCAODOCEALMC.MCDGMFBJFDKDFI2BLCN
IAFAKBF2KCAGBA.OKAICHCEOBI2COLGKND.DAK.M2ILN2G.A2BNH.BJFGABHMLHL.LDL.
GNHLAKMEBOGCJH2J2ADFGICLFLOD.DHOBCKMFCBCDNC.KHLOJOBMFCAIBOHFKM.2FCENG
IHGKCHAMJNGELI.BJHDG.JNBLH.JLKGLKCHGHMINFHLK2FOEFIMJCNHLGO2FJBK$.GBNB
KI2BDMHBNHN.H2B.ALKLBMB.DCEIFMBIOHOECKENJBOIOGFJHBHFMENJ.IH.LHMELGKID
KNBD2GMHKIHINDIFEFHL2AGLCH2MGKFAO.A2MGBJIM2KA.H2DFJIKBCEDLID2JLBEDJGN
H.JGC.G.FLOFJ.M2JC.ADM2EMNKEILKF3JDOCN.2FIGOHCBLK2FKMJOBJLALCECH2FMC.
CJIO.OANIKHFJKLK.C.ACEHMGFBCJGCNOJCBO.OLBNC$EN2CGKMCLHINAE.2EKACGMLMD
OGFMGILO3M2ALDKC.J2KIAGNFHO.CK.DKFHD2JDBN2EM2AC2EL.FIDIAKF2M.HFN2MCJB
NFA2J2.2B.MNCF2JAFA.DCN2HOKJLCMEOCNMJMNCHGHO.AOHEJFNHDBDIHEHBMIJNJHNA
D.OLOMBCD.2EJFJGNLMOFBH.A2JDFJ.ALD.NIAML.NBM3CJAEAH2DFH.E.DCLNGMKF2JE
BNDNDEFICGKGOJDKHKIAJG$HBODJLO2AFLJ.KA2KFMFGEIDMDOK2IH.AMEHFCANONABOA
DFBN.BOCBMN2E2LMNKNKJDCMOE.EAJLDHDOGDAMKBDMD.OMC.KJEFI2A3BLGEAKM3.NOF
KABDCAJ2DGLBC2HOEDHNDH2GADHEFKDBFMGFNA.INMDNFMEIHCE.IDEDF.EIBDMDCB2LA
GEBC2OIOJC2JNOLCFCL.GKJILCONC2DBA.BKLDEIOCNAGBMGBGEFBA2O.BDHAHDEJENOG
$2MGKLHCFCGHFOH2LDAHGCDCK2IFLFACK2OGOKOIJE2AHKFCELKGMKLAHDJE2JEHC2BNC
BHADBOBDJHGA.EICHNFBOBOGHCOACBHMCKIENHJ.GIKLABF2EM.FIEJKNI3DKI2BEOECA
BDOGCIDCACMNM2IFCMGHEF.DOJOG2DCHNJNIHGHFEIFMAHJBEGLHCGFOE2JFJNFKLJKED
JNDIHIJOGAEABGC2BNM.JAMJBJCFM.IB.AD.OJI.3FGHMHGI$DILB.2JLCE2NAGDABGDM
NCNKJIOAEKLFLNEKCOFONCBFCDIKHNM3ECEC2MKBEJN2A2MBELF2LKBJMGEODKFBA.LN.
MOGB.J3CA2GKDE2KLHNC.L.K2CME2.LHI2DMAIB.AG2FGHG2.KMHDJI.MFCFJAE.EIACN
AKG2HGBCJEBKDA.CI2NFHD2JCNCA2CHG.CDALCGEHDCJOGJE.NM2CBJKLFHI.HCIO.BFG
IOD2C.JG.GMNCEG.F.OJIBKJEML$.ABDHJFNEJ.IGBJEGCDEHMJOBMLFJADMKDBG2NKIL
.EFHFH.GBECOHI.MHN3HFDNBIKG.OEOGLO.KIJMNMDLM.MN2JOKLEAM.IO.AHKJOKDFEI
GCFL.BEC2JAKMGADLEB.OADKIOBDFMLDCG.2LA.KDAEIA.BJF3EKFCAJHIBCH2JCNCAOK
ABOHODLHM.2HGIADKFOEHLNHAMFC.JON.DKHOHO.DACKNHABNIALABHMFB.HE.EHIALDG
2KE.KC$COJIECHDJ2ACEBA.FMHGCLKACANDELNIMJOLOEHA2BNALDANKO2.KOFB2ELKMH
NAJNCHBCOLNJHENOAIMOAHILHNOIJDFI2.CDLAOACBNMLCDHNIHLNIB.LMKNHCJIL.HCL
GBG.FJK2OFMJ2ODFLNOL.LBAK.EKHMN2MKDBE2NO2LMHBJ.ALA.H.KOKBN.LC.C2ECGJF
NAHAJLNFHEAELN.OFKDMGANICO2DEHI2EGOBCDFD.FE2BKFGDJGA.CAG$OKEMJ.DICBCF
KCJ2O.DNCIBJ.MHDIFL2DKNDHNB2ABMBAJHAF2AHKDKDLNGNCNDOGAMNFGKEJOBND2.N.
NHKIHLHCHMFKDC.GJN.FBNDE2ABCADB2MBEHGB2CNOCO2FGEADALKGFKLCEI2K2BN.EAI
MICDJMIEJNLN.FHDHMNOL.BCKJ2MNILI.GNGHMEH.DKBJGKBECFH2KFBOABFEO.GOCICL
MJILEJOGJAOCHAOHALE2DJMDHCFAKMNEFNIDC$FAG2HIKGDIGJKMHIEGHDHOAEI2LBHJO
GB2AIKDHD2JECH.M.KAHCB.JAEMB2LEJFHCJFCGHIFOJDFJHAIGEG.2KGMOGOKGAKJK.
2HM2JOC2KFHNKCBI.DEFGEKBHGBEKNFKH.IBEDO2CH.JFDGLB2IOHGFEAOKGABO.BAMDM
JEKHLHGDLFM2NHKMDCNH.MLEJNK.NEG.NGFG2NBOBMGHKCDOCADJHFM2BGENIMGD2B2OI
BNHFG.CK2DA.JIEAJC$IJ.FCINHN2OLIKL3JHCEHJLBGKGDAJNIEJFJOMBADGMEBCHK2I
M.OFDAM.NJG2BNO2K2LEBCEDAEFJMIDIF.OJDOJIKIMKLO.DAFNJ.NOLHNJ3M2GDHCLBC
NCKEHJ2EJCGAJCKFNABEFHFEKLMKIDILBEA2BDMBLOKGJHMEKNOLELKFDMFIEL2NLOLBJ
DN.AIKNJEHIJKODIJ2KEJHON.OEOMNEBDJLANH2NHEILGFM2FLFMKJL.ACAKEHJ2BJ$LA
C.KJAFB2NCEGIKADEDLMOHKJHMOFOAKALEGKDGHLGK2ILAHCFOHI.EBFA2O2M2LOCFD.G
KCJ.OCNJLCNGCINI2JCEAFNCLGENFBM.NFMFDNO2DMDLJGKDNOBEHJ.G.KIOG.JLDECNM
AFHKI2BOHBN2CBKGECEK2O.JKDFIOJGN2DMIOABLOKDBO2LCK2HKNEGBNMNEHIKMJMGON
HOKO.FLAHI2BGBEKGD2CJGCIEA.IKOHNHGIJCIL.HJILJCI$2OC.BGELDAFKBKAGJOABO
IBDHMENKBOLK.HNDBNMOIEFENI2EJ.BLIJOJCHGNBONCM2CLNMN2IBHBMIGHOAGOCKA.B
2MDEKFECNBOENOGHL2GACIEDKMCHBFJ.IGIFOFDMOB2AOHBI2MOKLO.G.CA2OCNOJMJIJ
EJACIAE.K2LG.FOL2GHMHBDEDHMIHOCLEFCFNOEG.MNJKCELENOIJLEHAKEJABOI.ADKH
ILGICHOG.2JHNCEJDH.EANJAILGH$FN2.LHKBD.HNB.EFHENGOEF2IKCDIONGIL.NBLNL
JGDJ2MNOCGIBOIG2LNGBG.IBECNIF.LDGLKFELIJKBHLDGADECDIELECKDGM2OELCJOM
2LN2F.EFMCFCHCB2D2C.AOFADKNCNIOLA.EMNEHCIJIAOEDNBMEDEMLBIGIKMLAOC.JOC
BAEDIBOKIGDOB.FKGHJBNOCKEIC.JKGLDJ.HFGFB.BDFCKBO.2CBNJAK.CFCNIEIGIFNH
FIDEHLBC$AIMJIHGCEFGEFAGEMANLOLKCBNEIMHKNIOFL2ED.JOFOBOKI2DCGACHFIB.J
NALBEJ2EDOCGN2LBMELMNANLHC2NHOJOLMDNJBKACGIANMAONGFE2CN.HGC.IEAFLBFIC
IFAK.J3MFEIMFNCDMIBLO2HLKBAIJDB2L.FEBEDCGEOAKMBIOMGFLK2JGAMBGHNIAOKBJ
ICFJODFGNKBC2EM2FKDCF.OJ2HFNMAIBEAE.FE.OIAOCHJ2NAKGEBJGAL$CIMIKB2JIND
JAI4KCMAHEID.L3GKILBMDMFDBA2LOENCLJKAMEAOFCGDGDNLIDNJNHFGC.DIHLCEKAEG
AO2CHNACGJBI.EHKJMEJFHKEG.ONAN2GDELKF.OIJDKIKMEA2ILGB2OFAHL.MC2O2NO2A
KN.DGHINCIFLJHMBCL3KMO2HGIKMDEBHJMJ2KCFBD.HL2JLHKOIOD.EMCGEFDGLFI2.CL
2IMA.OGIANHBGAGKMNGEF2IBJHJOCNBDKF$NH.2ENEOCABHEO.DENOBGBEHAJKHJENCDO
FONIOMAGIEJDHC2GDLNMOHMHGEKBI.EG.AENGO.NB.DODNIHBFJ.DLGA.NBDEDMNJA.DJ
FDNLOCKGBIFALG4O2KIMJ2OANID.GFJHINKAIFBNABMNOCGJGENHCEKJNJAGJ2LM.NLIL
IMEFBGHL2.FDIHKHG2HBIOEA.EK.JKELJGBOGILFKAELJM.CI2AJIDGFHG2AJAKHENOCD
CNALFBFEIMC.H$DAIJIGLMCIBHC.KIKD2ECEMHKHDFHLGFCABGHIGILJOKAKLGN.O.L.I
EH.JND2FAH.IFLAHGOCKEHCL.FE2DKD.DEKCLEOLCFOJO3MKCOHBIH2CEIOCOGCFGDILJ
GI.AM.LBMIAHECLEL2IHBF.EDFDGONKDEOGJDLHOEBNCICAKIKDNAJLJI2NF.NEO2CJBM
NMI.3O2MNGKELOCFLIKEOKDCGI.KJFJLFB3JOLK.EBJCICOAJBFHDGLOMNDK$FMJ.IH.N
L.GEOELE.GEBFJO2DBIKC2GMKBFGN2OBE2.KNM.C.BCACF.2FGNJC3FBCFHNKIE.OEBIJ
OKJEM2EJLJLINKEL.GOFMOFLCOIJKHENDOEK2C2.HDLCFNMNJHOLHL.GBOCNDOHA2LAMO
.EHKAEAKCNG2JCFMK2D2.GBLFBOFGB.FDFEAFKIOKJEIECNOMKAHCELJNGHENDG2F.OF.
J2MGAKDMNMKOJAIAD2MHDCMGHNIM.AJECLKHCOFJ$HFECFIBM.ABHIGE.GACAC2MENBKA
LOA.NLAIBEHAMC2NADGA.FBKCGEFJIFE2JIJBJI.OCNBDIBOIM.2HCODIJ2HKCDFEDAKM
KDLNIOKFGHMIGMNKFOEKDODN2CIGICAMFBLMNC.ILFMJ.ADMLNI.GFIDGNBGDHOINOEH.
HOKEKCBFNAEOEJLJLAFILELIMDL2AHLONL.I2CGOKICEHCAJBNC.JGIOCDJLGIBCFEBMA
DLD.EMOC.BG2IANCOBAJO$KGMLCEFBADFKCAIF.LOMLEIFKDLBGOGJOHGEFEDAFKJONKC
JNGNF.NJOENEHILBELOEIAE2IMNCGJFOBAHN2IOFIG2EGF2CI.JBNFOBJLB.JFNOLICD
2C2KO.NBGK.FDMDBHJ2N2MKH.NDIKLJEC2HIFH2K.CEJAM2EOMCMBAJ2BLJCL2HKFOBA
3JGLHI.2ONDINDBCALJHJIHEOHOLA2HCIGLBCGKJLACN2KEBJHIM2O2ELOADAOGN.2GNK
MAC$.IBEBGMIAEDIANJANAM.COFAN2.ID.KEN.HGLIEKBE2HEJFINMJNKEBKIBKMCH2CB
2KMD2KCNFLDN2.CHOI.HDJFOHEGJAFJKLIOAG.FOCEIN2M2ANFHJANODMFAJNFL.A2IJO
EOADOCE2FKBOFINHD2AGBICECHAE.CEGODLMBNBCHAMCJCBG.L2GDJAODBO.2JCIGCJOA
H2A.N2ILKOBMJNLF2BKO2HFAGHCF.OFHMN2OBEJCDOBDLACHOAMNA$J2GHDGHJBMOLCEI
JDLNCJCDOGAGNFLNK2OHIFLNIC2HBJLBGADGKEFNDIMKOKFNMEINEKNGKIKN.H2CENAEB
GBC2HFEADJNHOKJK.MIHOEIEDMGI32.OFCDFOJECDEFHMEOGJALAGB.MHNAEMOKFLBKEC
MOAHDJHDKFNAFDMINENMJKNODLD2BKOBAKCJH.GF.IMEB.JDLIBCONKNOGJHLJOJC.HIH
KEKBC$KIN.L.K.2FH2LCHKBFDABLGKIADMONCFCOICFGOEL.LHMLHOIEHIBK.DFK2GA.E
NGDOL2INJOIKEI2LBFIBJHCFKBJGNEFMNOAHKFI.LNBOFJIAM32.GINO.HNKOMH.EGB.A
KLCELGOFDHEIAICFLGHLOJNJHIEOBFELKIBOMJDO.GLCOFJBOBDBCFB2JFGEB.F.HJADJ
HI2G.JIFHLOCNOCBFA2EIMKA.B$ELHE2LGFOJBEN.JNKIADNC.OGJHNAOL.LIKANDLINF
HDABLJIKN.CNKEBD.OIBINJDAKOECKBHEMCBLDB.B.MACHO2MIO.CEMHEHD2FJ.D2HAKM
G32.KBIDNL.NFLKCLNKFAE2CA.ALIKBCOIJDNMJE3GC2BDEHEIJMHFMJ.LIMBJEBKHACG
.BJMOH2FA.MIAJAJHEG2MHN2MLJOJMDGJMLCO2KAO.B2IJ$JGIBEFMDNCOAJHANBOGF.C
ADAEFMN2JCLHBMONG.KELOIJNCBN2KJH.A.DJB2DNIACEMOL2GEBNBIA2DC.H.IFMJC2I
KE2CH2JBNLNOM2EFD3KA32.LKGMDFDHLJ.HOKCIJ.FEHM2.2HMFHNBH.IN2JC2HMNID2E
DMCAN.OKGOMLE.N2LMLFKOJKNG2IKFA2EN2CAFEGMAIOILNFICMLDOLH.HLFIKON.C$LF
2BJFAFGL.I2CODGBH.JELEKN.BHI.I2F2OMN.CEFKDEMADFJBEHEBA.DFIC.EHNMNLKJM
2ICHMKBHMKDFCMLEIMIMOHG2.IACEAJKO.OLDKFOE32.2NHCB.KCBCJI.IKDLFICMNHEF
DL2HLDHOKDBFNOFM2HMHMKJNBDEBHLONIJGHLDFMFG2CHDIDLFCD.OMHOENADJNLHEFJC
GHIMLOG2J.JO2KBIFG$MBENLGCDKMGHKLDKMKF2MECKFMGI.DOKJL2DHNKMNDGMHD2FGH
CFAMBAGMENJB.EAKMA3FJACDJMOIJMFMDK2N.BFLNKGKGK3HDEMIBLKBCDJM32.BE.BLC
GHJOK.2AGAKCMG.LJECJABOLBO2LNGLBMIBHDICGNJ2CI2ECMDECLDBEB2H.FJGMDHJID
.FDO.A3G2LEIGO2CN.DFMDEFLCA.FEFIMDMB$NFD2ODGJKBGFDMEKGFCGMJHADMNJIGKE
LE2CDHIFIHBCEKADHBCJFLBID2KLJB.JNFEG.L2ENLFB.CIBKO.KFD2JAJFCOMFHDGCAH
I2FNFEHC.OC32.IJOBA2JAFIEFCNFJHNDLDAIJ2CNOAHNFIFOC.IDJ.JOCHL.GA2OKHCN
GACKAOBHK.NJMHD.OLKHGLKIB.DIJIJBKMAFNLIDG2JAN.NEODCMNDIHL$CJ2ACEM.KDB
.2OBAELBGJAMAF2GAFLD.LJNHAGLJGLMBLKBGJBA2IJEDKGHKFKIBGIGHMFK2CIONFGJB
FIADO2J.3OHF2CMCJHIN.J.2FLA.COB32.2GIMFNFJHKIG2IMIED.LKHEOHIDINKI2HCH
.CMGBIFKCJGCKL.IANDNCFDJGOLHJGKDFIGIFMJ2CE2NLIBMCIHA2OG2OGEIEAJ3BDJID
CAEFCHO$LK2MJEIBKMIMO2MDKFCIGB2E.GC2G2LFNFHLBCFBJ2KA.NLJOCANLB2LMKOGN
FKEMNEMNMJOADAIBFNC.OA2HIA2L.HFBCEOMIGLICIALHCEJHLB32.MF2OLKMKCNJMF2L
HDMDOGIBMB2GIJMFOLMKHF2GLMHJEJAJAE.I.J.2AFOKBFME2NAFOK.BIOCFNEIAHLJDJ
N.DO.K.A.ACJENJKGO.GIND2HJ.G$L.LMHOLIOGNJFBJ.I.J2EHAFC2EFOAG.2CBJIHJI
D2NMDNAGJN2DAMIKMACJEOIOBOB.ELECJG2NEHGNLKCACK.HJFCHFGLHB.2CJMFCADK.C
2HN32.L.C.DHBOGNI.JBF.GC2AJ.ANDFGJEIHDEOKEMCFC.HNCIFEBOH.CM.ILBOAJE2O
CGIDC.IMACMEANEBAKFAJ2KOEBFKOJDF.G.KDO2JDENIA2JAL$FEOLMKGNGMENEFHNBCG
EHLBNALNHOFEJMJNKH.I2G.HNHECGK2MCJGOKLCDM2NFJIF.MDLNHAKIEAIGNKFHJC2JN
MKCGDILCEHMGCHBOHEFK2NFA32.HAGKABEOGCJKHE2MABILEFDMA.GFCINAGBIA2IGOCB
IEKNGHKD.CIOGNLNLKOMIAE2M2KLKHLCBG.KE.J.EMADBJGD2BFKCBKIFGLNJ2INBINLM
I$JCGBKDNMFGMEOCKHIHNE.ILIMFBFKEILOFOIACEHF2JNOM2DFJMFJIOFLJEJIMBNCM.
LMHFHGKBIHC.M.JCKI.AHDJHNLCFIGKHCGNA.CEGALCGD32.2BMIEAJ2FHLHANBHBANHL
FNCJ.HFDHMAD.GFLE2KIOMGACAM3LK.FN.GFOMDAFDJHFAMDOHK.MIOGJ.ICDMCE.I.MH
DGNMHADNLAF2AIHOKHJ2G$JEHJ2EANOAJHF2EINK.M.I.OGL.LCFDBI.EOFMAEB2GIK.E
JLOFGA2LFOBGKJH.FBMDGBI.NOALDLNDEMBE.2GFADK2FBNLEKCFAGHC.CONJ.BN33.KM
GFBOAMDFDAIGHKNMBA.H.JA.NELNFNLCHNHODACIKBMAGKCK2ED.OLD.MKHCFDGC2OHIJ
LCNIBMAE2JGNDBGKL.M2ONGDNLKE2.KC3EDAGOAB$JDBOMFDMBDNBLDHJEDOHJE.KBIMC
KFIDNCDFIGMIMOAGN2I2.GKABLFDHDNJBFBMIBOIFIMCJFI2.2F.CGAC.JLBLJNJGFA.C
JIKEAJH2KOAKEKA32.GLGJIHN.EIB2.JAOFNHABH2L3IMKGJBCFMCOBEJCIG2A.JMBKNJ
HFLMFGF.LOMLNIJ.OGOL2EIKJDHI.GFLAFDMILG2NAMLNGMKJG.O.OCE.CKB$KJIJEBGC
B2JMBLDFNOM2.HNF.HIECLJNAHMH2K2MIOJCJ.B2CKMLOABLHJKBCDJLIDBLJD.BKEKG
2EFHEDILEAED3ACNC2E.JBKDCJDMDLA.EB33.GH2ONDBF3I.JCN.LN2AEO2DBELGDKLFJ
BHOCHOBLKAMOK2LKFIEMBIMNDNDBNKEBCJMBG.2DANO2KCFMNMNAJNFLEDIHFGNHCHGAE
LJLAMACBJA$NBMDNDNIAM2ALENEMDLNCKMKD.GMND2HCJB2.DCKHNDFB.BKGENCKFOFB
2OMOKJMEN.I.AJECGDCMCGFDBNG2HB2CHCLHALMENDKFHCLKCEC.MEG32.LMB2AM.LDAJ
IGIBGBHOKLH2K.NINJFN2DA2LFKEAOHL.IKNBA2FOD.2EOBEBMKDKELA.FCNLBKIGONJL
CDFEDMK.LBGL2OF2MIGOHNGOKEDNCEMK$GEBIKDIKAGDJIJFCB2NMFIMC2NHCNHGMFCFG
IKO2MH.KFDKBNO2.FEAMFKNCH2DKN2JKJLM2EHFNJ2LEBLCMKHFHEKFOGHG2CNADLIHKF
DNAMFD33.JD.HENHJGKHGJHOMJFDIGLAKD.ALMABGAMJDJDGCN2JDBKDIFDICAGDOJKOD
2NIFHMACJEL2.M2NJHMDCECLMKMFKMB.DGKBOCNLAMDHNDKHAFIH$FMHB2NLBDCFBNDNJ
AHFGKLBJBKOBDAFG2LI2GJEMIGALIDNDJDFNCHJK2IH2.IJNFACLJO2LB.DAOIEOBKIHA
KBMHDJENDH.MEKAHB2KA.HF2KCE32.BFMOKAMKD.EBEJGNGACFIDKN.BGJ.E2IE.D2AOJ
.2KMDJEOLKLDKFCHFAHLDGDLBMAJ.BGKI.BONMC.HOJFKMLEBK.GOJGHI.JMIMJE.2ICG
.OMC$NEBIHJGHLJHBKOJC2JDFDMLHA.N2DIJAG.OKMK2FNDICMLNHNMB2EIJKJC.MIFMB
.OLE2CIEMINHMEFNFJCB2KIMNKCHNMAOENC2MKNEM.FJIEC33.FOI.GOBHMLBFIHKBID
2LDMHOF.MCFNGCAE2MNDMDIEGIEC.CBFH.CNBDGE.LJDN2G2ABODNAFCL.JIDCKM.MGKF
2MEICBJ.KBIG2OBL.LMNFAKME$AFCILCNFKEMD2CIHAOK2CGOGLHGCNK2C3ILNIDANIJI
2DM2K2D.LAEDMCHDFCA.MLGAFCEJFNGLFI.LOBCFLBM.KLACJNDHMBL.LNBDN.HIKOGL
32.2GHEICGMDGBKJLM2DI2CJNKGICEAOEL.HEFBAODGIBJMDN2J2MHMKADBNIKEIJCO2H
FBCDGCBJHO2DKOGHDKL2BCDEIGNJDBFJNIHLJCJKONGCKI$AJKJKDBHC.GCHK.CFBN2ID
LBGMKJEADHE.IEJLAIKAEH.HMEDC.I2LM4C.GKGBODHJDHCDBIBFLODBOMJMDJOBO.H.
2BDHFKGE2GJBDHBKCB.A32.IJKGDG.AKLGMI2AO2IJGMCG.IFAMNDKIKJAJMHADNLHKHA
.JOKELAGAJG2AKGOLFAOLJ.C2GFAFDMNH3EDAN2KLALJCA.FHOFD.KDCBELGKD.GI$.LM
GIEDGFEGHLANOMKNBIME2CHLALCNJK.BOD2.FHENLCA2.IEGJEBCA2N.J.G.CIONIAMDN
ADO2BAFLJFJAGNB2LAIHKABG2BHFANHIACFLBJ.J32.M.DAJDNADEBDG.GKJOABOEMEJ
3BFEFIKNAODJDEIMCK2EBM2JA2FIKGDEBGEMK2E.DEIJAIECGJEALOINAH.OBCHBLCMG
2HOHJOJDGHOKIEINFO$.E2KFAGMFLON.OHEFELHEMLCBENDCMECOBEDNOBDE.EMOI2GNB
LMKNIHALDLAB.KMHMHOKJAEHA2HJGBO2GL2FGHEJ2FDF.OECOLKNMBILDEJNIB32.3EML
ECEAKFLGCBCIDKLBNONMAKJGBNJMLGKIOBCLOLJLFC2NCOELB2CH.2BEOB2EFALOBGB.I
MJ.G2HCMNICIJAI2C.CHMJGJDOFDIMIAFGI2GD$COGODCNCD.BNGONOEJLDOMDNFLAKL
2IMBADOJAILFJL2FIE2DF.LNJ2AMH.ANFGFKHFCNMHGA.KCBCIOBIAIDNA.LDACAK.KOH
OCH.LILK.ANJNA32.CA.DNDAGDIENKFCBHCKAGH.GE3NDEGE.MEHLA2JILF2OL2EOBA2E
KLGDKBHINDACKDIEGJ2KMJ2OJ.IE2MOJCEBFG.DEMFIKFBJA.LNGIAKECOC$JEDLGCIED
LABCJBHJEOAIHMKA2HBK.LB2FAIJBGIM.G.JML.MJE2BANGDMFBHMHMGKL2AL.LFE2MAF
NMEFJABOBNBIMJCJ2DB2ICI.GFL2KH.H.C32.H.GA.2JC.J.DE.M.IFBKBNAJ2BMIOIAE
HKNOAI.2CNDF2AJN2OHNCOGNKACA2DA2CH.FKCM.EJ.BECEMBF.DFGENCIFJFBF.KEGLN
B.BIMJK.NMF$I.B2N3LFIO2EKG2INGIDHJGEBD2AMALMLNL.KOC2JFGL2NFLINGHJBEIC
GIA.EJCIAOKBC2GBK.HNGF2IENBC2LICJE2MOEBA.GAF.DMFGFAB2A32.HJMNEB.A2EJH
GMBHOFB2CIDO2HIEJFOCF.CLHCEGKOFHBADBOEFJIGFANLIHF2LED2GMENAKCIANCNJML
DHBJNK2.CFJHONGJBELOCGEB2F.LAEF$.JD2NIGBNANA.LOLC.2FCFNJDFHDOIJEJMNCM
GBF.BLB.GMOBKLF2BMCMEG.KJAHONFEMKCDEAEFHDICALDJFD.2EM2L.NAGNJFJAMILOF
GDC.DE32.DJBEOEFK2G2DBF2DJMNCNCKBHIFL2GCJLFGHEGLACI2OEDELA2NDGMLKO2EH
COGAJCJIECI3D.MKDODE.HCFCJB2OB.LN.JIGNFEMEACNDEJFIN$BNLFGBNAMN2OFGKLI
ENAHMJNALEDHNIGMBAGENBL2BKNG.JFALAIABCLBNFBIELO.BMNINCMBKOIB2C.N2HOAL
.AF.DLNGNEKOMDKOCIED2LIOJI32.NKI2ON2LFHBAIFD2NGFECGHLD.DGHGNDLHJMHAFL
NFAFMDODHDAFAMKEAG2IMGE.GELCKMGFMENH.NHKNCBAO.DMDGLEDJNBLN2DB2KN2.IDM
GIH$AELALCACDJE2IFMBOGA2EG.OL2OJNGOKIFKCHLAMA2E2CDIEKE.JICFJKFGHKJIKE
.ICAGEKALICJCHEBGDHDEOLNGDMJAGHIHFOBEAF.L2HEGEG32.H2EGIGFNFDCLOGE.2LN
DEMNHNFEAONDJIO.2EIE.MANFKMDFEABJHNDJFL2FDOFNLHNEKD2LNGLICHFL2IG2ENKL
OEF2CMKHC.HOJFJIJFD2GNJN$OJFGO2DBFOAIJBIHE.BLKMBEHIFBCMOMACMO2JBEOEKL
FMJEC.JCKAFG2ILM2DJE2BKOG.JIDKGNB.JMADINAJ2O.JNJDHNJKAD2GJEJDFMBGCHI
32.DCFGMIEKHC2LDAID2FGIFA2NIEMCOHEFDEKJLJLH2BHI.GEKJNBINLICOM.ILONCLF
CIFDKOICNKFJKBJ3KJI.I3CDJ.2HAHMBLHFIB2IHIFKI$NEKCA.GHFHEJLFNIOJAONJBJ
HDLEI2K2FBJHKBEMOJACBE2.JHANIDGMNOGIGMAHIAFKNBD.KEIDJDKBJHJ2KCBDNEDLA
E2FBCIEMH.BA2NEDLDI32.D2.INOKLMOMLK.ADN.DOIL2JEHL2HM2DODKEANLN.DAJ.MF
MJGDMFAMKNEHLFDMJHGMJOFEIBCFHLOIGACMK.IFNAKDBLMGKGO2F2LOJKDI.EHAD$OBO
.EBNODNEFAMA2NOBINHBILIDMBJDOJMBE4O2AGAHGL2BEH2EGKEMDJHEN.LJIKCFHF2KB
CNFG2MBNIJCLIEIAIN.AOFAHFBEIEGI2LJ2LKA32.I2DFNCJLIDI2FN.JFDEOMI2EFHFJ
MICKMGEBEOGLHBJBL2H2FDIA.FBKFN.IDEGMCHMAGDNDHBDIFBCD.KB.JIOEMFLHJ.2KI
ACELKHFG.GKONKI$FKCGMBIACK.FJNBACIEDN.DLHC.DODMD2OIBFJOFIAOALK2BMC.BA
DCKGAGCOBHMIBLNCKBCDMEHGECJHOGDKNFMDIMIFHMC2JOIA2FB.LIJAO.KLIJ2OGD2FI
NDGJ.NLHMAJ.BA.JLHM.EDGJDI2N2DMJADFDGOAKNCGAOJM.JB.ECHOFH2JF.KMDGKFCL
2A.DO.FINHAJIHNLEN.FH.HEJOIKIGKICKNJDJBM2G.KOGAEBG2FJNOCE2HDAGBMA$C2I
BJKLHEIJDKFCM2BNJOLK2MLBDCDHNGB.HCMHKHFMLOMBMN2K2OEAGNO.EICMC2HLI2FIC
HOCJOGMA.FGBECMD.EDH2BAGNCDEDKEN2FHAFMCBEBDNJDGLN.NOGKMDIJFNKDGNHJAFJ
HF2OLBLA2KOKLH.OMJ2O2.FHNLAMIMLCKHCGMHGAOHGOFHO.HEFLEFAGJDMGI2HEH.NLK
2I2LOEIBNAOE2OADH2AOAO2AE.DJGKDICO2CBDOEBMONIG$JFCJOHGNLBEKDNGKLDNDEH
GEMNKGADGFE.JBHBMH.JANCEOKFHLFADHDEJ2GDJ.KHCMLABMEICN.AHOM2LJADENF.AO
DHJ2M.MGN2.CDMEJIL.I2NE.BIMFENJHFHBLMAH2MEGNOFCN2.M2BCD.HJCBGED.EABIC
D2MABJM2FM.OGEBFG2FBNCBIB.AIMAFAIMA.GMFCD.LOLND.NCIONKL.HGNLCJFAGHN.A
KNGNDLGDFCNBCJ2M.GJOBDHJM.E$KMBKMA2MJ.BDGO.FBIGN.2LOJCNGIMKGIBGIGDOGC
F2NIOKFGBDAIJIMLKMC3BLKN.AGJ2AKCHBNAIHMLCHINKLEG.HIKDN2BKOEOC.ICAJFCA
KIN.EOMELH.NAMGOBDMBJIEHOMNHCBJKFEL.IHAIENL2KOMFEAKGNGOECLGDH.LDMBIDG
BKOJHN2BMGO2KAHFBHAIBOHGOHJFGAGBFMNCMCLDBD.DMEN3MFIAD.NHNLFB.ONOA2CKH
LNJG2D$IFJOHBAOANDJHDOFHJKOCBKDEDL2NIFLGBKGBLAC2DFIEDHJC2EJICFJHLFD2E
GADBHDH2GDMHBKGLOLFODCFHG.BOIMGMF2ELCAGDG3JO.E.OAHDE.2MDI2MCKHEINFCHN
JFIFMDNFAFEFGNDG.O2DFNJMLIENHDA3HE3.L2OL.OIBE2OBAEAHNDCECOC2MOJ2FJBAN
L.BCJH.FNINI2JOLB.M.AFDI.FBJN2IEMCMCNGHBMJOJHCBJG.2H$FNLN.2CNCDMF4GOC
LD.2FOCLHFACLMOL2GJDCECNKGHNGNMJBKDGBFHF2B.MOEDKELHD.FCM.EACBCH.NK2ND
LIEMNEKGKLFN.HGAMCDGCL.D2LDCMFGFI.JHNJG2KG2BCIFBOIA2EANO2KDOMCFDN.COF
HOFJKDKHINOIDCJOFOHINIJCGBKDAJGJB2DECI.2B.G.F2.FBFCFDIHMFGLNBE2.NOF2C
NBENBNAKNL.FMKNCEFDADLDJIBNOIMA$DLICGOGDBNMBGBICHMLEI.OJCEDIFDMFEGMBC
FIGD.N2CFLOFKLNJBNK.EDI2CNAMBLFHJNAOLC2KAC2FHDJBHDJKBLEDOHJ2HADICBCE
2JOLMBEHFJGLFM2CB.D2FHBJF.CINDECOMIBJNOCHADBAJLNF2NEJLALB2IJKEGJIOAG
2MBCJFOLENBILOMK.EIN.FLJAGCAE2.EMKDLGNGABLIG.HIODFCGOJD2HBLGMGODGDBHC
MLFKL.AHFMIEFA$ELEI.AMK.E3IOHBGBMNOJHNHI2BNGLOJ.OBNMDCHABGJHGE.CEMN2L
BABNCABDOB.M2J2D.ANMEIOF.2AGJDBHDKAJKGCKMLNLILBNFCHJMGCLFNEMH.CKDHNLF
NLAOAIEHLGC.MFHM2FAMADNG.2JICAGAGCHOMKLDNJI2DLNADACGKOIL.ELGLJHGOAFDE
LOEFBH.DK.EMA2M2CKHK2IEJI2GDFAKD.DHFN2I2.IFNFCBGJHOJMLGLHGMO2DL$KG.HM
AHMOCADAGE.MKAFEOCFDACIJEJCAO.BLAFDBMIL2MKJNJ.AB.OGNGBHM2DID.JC.KDL2N
ONKH3LFJ2FEBEJKGKNABNJABGDME2OGIHAICI.KNIEIBCAIN.CDHINCDMDM.KIAIKAJMN
GBF.OJE2OMLGODMLA2GCHCNKEGJGOEJ.F.HCELHMKLDCBAI.KGMHGNKOBKBMKLKMJGAI
3FLNJ.CONIF2KBKHNDAG.CNGCGJDEKH.ENBKDGJCBIJ$GHNL.2KDACGNOECGKDKJMICLI
HJIMHKLJN.KAOBCBMEM.OJIALNFI2HCHNBDHB.JFLFJLJO.2FMOFDGBIANF2K2EKJG2NC
OFDJDIBO2IK.JHILIHOBNDLACLOMIJHF.MC.MJBILAIKAKCABLGLMI.LNG2FALNHMDHAJ
.HB2ENCBMICEG2IB.M2C.HNDJELBGAKCNONBJLAHCBIHLDNADECDIEMDHCH.NOJFGCAF
2OIGB.IDCOMFAILDKAFILI2HE$LHONJGFJGMN.F2COEFKBIAHIJ2HMIKNDHICHMNIJ2LH
DCHELKBAECNJO2A.ACG2JINBJAJGFKOHDI.ILHKFGDNC2.HLOFCEOKEF2IB2NH2NICDAM
NCADHEBHECNO2NKCAJCKIDKJOMCIOD2BCLDKGIELIDFIG2IOFBIF2A.LA2KN2FEH2C2KJ
FOIFILF2JBDIA2BAM.L2EDACADEBAMCIKFD.MEOAMILBGBEFBAMJCGJKBKGJNMCHLOM.G
2NA.BI$MAGHN.MIEMGDGKIDLJEIKBFHGK.M.2HENGJBCJMDA2C2JCOLNGLHDK2FKJNGBL
DEO.ALOEOG.DBFGCDF2ND.DHNOJOFGJKEDAKHAJ.DGILHDAKLBOIGBJ.OB2FO2HEIFLIH
I2JMBM2AOFO.HMLMADLNGIBMHL.DHL2EOEHAJ.HFDGFNJ2HD.OMOAFGLADFK.FDMNMDFO
NAHAON2BGKHADFMIACECKFDJEMGAEKGE2JFBLGN.I2.HN.CAJBHJMDJN$JNFDNA.3L3EG
D.BL2IDFNCDKDEDH2IMEHCEK.ICLIJEHKDLC.ILKNCICNBFM.E2KDKJGHMFOMOCIJHJEI
LKDGLKJHAKEAOJFMJHCN2.BHBD2LADNDIEKMCB2OAHEO.DJNMHDFAEALFLJNKGFIEJOID
2JIBOG.JLCACFCKJN2DINO.JICOHLCEDJAHFCIOEIOEKGMGLJ.FMKJDLDFDGI.MAKIFMD
OECKDHCBFJA.FEC2BOHLNAKNA.2A.2J.OAO$FHOLK2BKMDJMB.HKHDKLGFBC2AEMFEDJF
KM2ENDEDBLNHBIMHB.BOFENLFAKAB.BNJNACGECOIKHNKMNAIHFMJ2AFBEFL2KHFAF.CD
MANKB.NACENKHCJ.NEKH.BOHLKLDGCEKGBIGFHA.MB2CMA2K2JMELCBIOMHGMNEKOEKJH
FLIN.HLOLDCAJDC.NJNOMEJLCODEMJLANF.MOLKCOIBEF.2JHM.M.EH2FMLKJOCFGAOAI
FADE2IJHFKFGLIJE$CIEJHOFALOGE.BGABNLKFMDCBHFA2JKBMCMCFJLBGONOCLKBCM2L
MHLBGMKM3FGJH.GLBHCNMNMJCO.CEBGKFMIMBMANFELGDFK.N2EGAGEBCDF.KEHLJDCEL
BF.ID.FCEDCKA.JNB.HK.ICOHNIKBFDNHDFOBLBKMJFJOEK2CFE.JFGOEHJEGNGFGDL2O
BK.FBI.AM.OI.CJMC.DFC2FJBANDNHDNLGA2DKHMK2ILHKEFMIDJABCAOLO2LBNFK$CL
2HF.LHIGOG.EBKABNACEFLHJIJ2.OKC2I2GJIHLK.HJNEM.NHCJIEIJBL.EBDOBMLHGOB
F2EHFJLBI2BJIHANLACDLC3B.JOFNK2FJNILBM2.LHOELBAF.EIGL.IJE.JKCMHCLNBGB
EH2ICMHEIC.AON2OCLAMHAO2JMDOJICJMFGIE2DNCIJ2DO.IF2OMJB.GNMFOBALE.H2CL
ONBFLOABE2HFJ2.KDGKDBNOCG.2A2NGADIK2HAEC.CEGHK$HJKAI.GKGFCNFDLDGLCHOG
2JDAOAKACOK2DIMIMCGCECMC2G2OF.FDCMIOG.2AKCHDENGKEGEJK2NOHCAKBGED2FEOK
.NGBGCNCKBDCM2LK.OHJKDKGBMCGIOLGOFILBHEH.HJLG.CGHC2HMGINFBNOCFBANMANF
2INJBFLMIHJFLIDMOHMLCIGHNGJNELCMN2DGIELAI.LKM2NIGLAI.LMHBMO.2NDGEOHIA
JKLD2KJEJMGAB3EBAGC2DFGN.O$CM.M.2JBIGECBHFEFDMI2NBDJGKBMHIHEANEI.KLIN
OI.FEKDKGMEC2GF2NG2MOMLFMB2MDO.GI.JFDGAIKJDKFOK.DG.AI2BHCDKDMEMDNJKOB
CI.NIAFG2ELMG.MOCDMANCNAEGFDLKMANOJNEBE2HEABKC.LEJGC2BGMILHIJO.EAKCBH
L.EBFIJGALKFOFNC2BOIOBJINMCOMO2NABA2EKCALGMJ2FBCOCKAJKJNJMD.J.O2BLMKH
2IOINC$H.IH.FEHOCH.FMCHOFNO.CAGKENFHOB.EHKEMJCNEH.EC.OB.KMDH.DCBJDMIO
AHBOEOJB.HIE2DOKFAEGHLGOACD.BLK2HONDBKME2H.B2DIKLA2OGEI2EDANM2KFEGJAG
.GBHFEAJMLO2FCB2M2G.JA2E.DLEHAM2CJG2BHC2HDKLN2OEDIAEBNDAF2OJDBL.KELIG
CD2N3HNGN3GCHBLEF2EKGCELCAFJDECMDHAB2EDFDGE2.HEOAGNOAI$GLIKI.KGLDN.FK
EHFJHDHAHKIFLGNO2AKCKBJOIAKJIAIJHGEIJNADKIOKHNICB2LHONBALMA.NE.IBI2NJ
GAKHKBJEIBHBHIKBJIAD.GN.HKGJNFBDOHK2AHMJCJ2OH3LNFOBFJNKFJHI.EJOIBOJC
2JIGO2NI.EAFMAMCACI2LDK2NFIHN2HBHBAD2ABAJNOLC.LEHMKEOHNBHD2OEGDHJEGEJ
2DMFKMKHIHC.JMAM2CN.NFA.FJGNMOJGMLD$CK2.N.OJBDHMBNMN2LNBGBHKF2DO.BGDK
MCFDKOA2ONFE.ACFOAGAKNEOLODN.2EKJNJ2FJHK.I2MJHJOIDECGNBIGAGFIGF2GDJ2B
CGCDC.AMLF.EGBOANEKCEIN2.OKFBDBACMJHK.EBKDGKDC2GFLCHCJIAGBIHNF2NAEHCM
NKEDJIBO.LM.KGM2KIJEHIGK2NEH2OJAIDGICAJHOLJH2AEILNLFBIKDLHJHEDNFC.LOG
2BGHDJO2C.D.GAGK$OH5AIDMIOLNMDCD.BAOE.EHKHBCHEF.B2KGEGB.2OGKNADHCHLM.
OEHJGJCMLA.CMIKJBHOHFJFLNJAHA2OE.HBGAJFKCHBKGIAIFGLOG.2FBA.BG.AN2KHAI
JEIGJL2KLAKGEGIF.G2OKA.EFIH.OICDCNCMNA2LMHNBOL2HA2HLBMJ2DKOILOCEIDEBO
AFL2HBLK2CBIOJLEJCANEFGB.OCBMOK.GHNGFHD.2BIJDLIJKHFDFOEG.BC.ECG$KLNHC
ND.BIBCHEIE2MB.FC.EFNALDKDLNEKLCNONFHNFBEOKAMBJCF3BGKCODJK.DA.KIAFKHK
JHINO.AGDHKN.DCI.OINJNF2IAIFHDA2FHMILINGIOFCLKIOL.GMJLEHMGHNLNGJAM.FH
C2DHBN.INILMN.2DAINBMIHDIHIFBHKOLBK.JLHDJBIMDKDI.ECOC.JHMCDK.KCGFOBOM
BOE.OJEHA2BOILK3HKHOBK.GJNKDLFACMGLGLO2CBC$JBIOGOKGOCF.FO.JLADCIGKDLN
IEIEN2EGABLH2NM.OD2HGJOHAIHNF2HDCAONOLK.IN.KOM3ECILBFCBDHNGL2MFIOGL2D
2M.2KDMG2NKG2KHNKHGAKJOBMNAKA.MBA2M2DBLHGAMLMICKB.BGM.B.D.O.N.KAEKDB.
KAFGBE.N3MHIDLOJMHA2.LJGDGNOC2BJBMGCDNLDFNECICLKFCM3LCB.BELBML2JDL.HE
BOM.2FEAN2KDC.CLCFGH$MBD.O.FIMCFBIEGMBKJHLGHFJCDMCJGIM.EHIADCJ2BDLNHI
ACANM.OK2JF2LKNJDMN.IJFBH.HJ.JIOFN.GFLA.2EIHDINLE2AGJK.LEKODLKDCIJEJI
EDHCAJA.2KHLMKJFHIDCOG.CJGAHM2LHJO.BJOHCIKNKABGH2IAJDM.IBAOHOG2DONMED
JMNBGFIGINE2MDLNGENDEJDOGHLJ2MJBGADJKDGHKNEFBIN.F.B2FIOMEBLHKE.EJFAFD
B$HI.FLIHAM2E2C.MI.CEGA2JF.GFNDEBA3IGLBCGMIK.NACA2HEBDFNEIADLIDINKG2A
HAINGBFKNKDBK.NLODNCOHKDIJOLHLOGOIACLCDGLFOCDLCMH2CGOMKHN.JGO.CIOCEIB
KHGAN2EHGD.2FJBI2NM.DF3DIKFLDO2FBACAI.NKG.MDONHFIHCHOAFHFN.ELH2NMJHFB
GFNAGOIEKIJMNMBECEIKGFE.CBGNFCEHCFANBNEOECOBE.O2I$LNAIAFCGCBDLEK2GJDG
KIMAMBCNBNOAHIM.IGFNBJNIBAKLMFBMAOJE.GE.MFD2BDFEKO2ILDFBOEKGJCBO.MIF.
MKBMGIGL2ILELHA2D.LJNGLI.HCE2M.IBLFJN2KHKOILAODCGOBLI2N.DFLNJNCAMIMKG
KMODOKG2NCJMEGM.EGJLHF2KEBEKAOIJANADLMLDL2B2MJGLCOMLHGJHCAIMN.NAF.HBH
AD.BGNH.CA2FDHNMBKEKHMOHNDBJKG$JMHE2OJG.EFGC.E2AHBN2HAG.CAD2BEIAEJILE
F.BLACGFCGMJND.EGEGNMIGEK.AFKG.MIEOELOGDCA.MFMAEJA.G2NA.JHJ.IJDBCJ.KJ
HCHK.MJGKHNKIOGN.BEAG2DMKMEGKDFHILFELN2F.CKMGODOJ2ICGL2KEAJHMOH2N.FLF
EAD2.JGK.ONIEHE.GMOACK.MNDNEMENGIJ2LH.C.HICKA2ONONBMFGH2BEFKNDLBIJBID
EJGFKOLHBIH$FOGCIOMI2FMOMHIAGIHJNFJLN2OLDIALBLK.MKMJGLDMBLKH.JGDICE.J
HKHL.FBCOF.NFJDMKG2FOJAEKE2MCM.KGCAH2IJ2MIAHAIOB.OJNB2.NJAJKOGAHI2EKH
MLKJCBFNO2KHKFMNLCHOE.FHKMAH2FJHJHOCIO.IFA.KINF.KNJOEG2NCLIKHC2F2H.EN
HOMIBA2M.LGA2OLAFA2LJLDFNOFBNOGNMINGJD.JOLICLHDACMLENJBGIEOGD$.O.M2AO
IG.JMEOFBNAKHM2.FMBKEDMGLNLDHLAEJLICLEHFJ.2L2MLBIBKMFI.EC2LG.I2OBMOFO
EFN2CGMKDKAHOCBO2NFKCINEJND2LHMI2.MEDCBKIKFIO2KCLNB2AIKIMF.LNANONBD.E
LIGDNMOE.CGJ.CKMAI.OEN2.HIFEKF2NLJKGLEAIMO.OFGDBNM3KOLHDH.KBK2O2HAE.N
B2IMBNGMCDLHNK.DONKOFBNI2NCAEAKLKMFICJMGF$KEDMIMBODNOKOM2NHJMCIAD.N2F
JE2IDGNGLJBAKAKAH.BFIOJNH2LOLBCDL2OJLOF2.EA2JDNIBECACMJAOFIGAOGMCFHCF
2NJNMDHLOLGBLKCHBOMHDKJMFHEDGBABINILEF2JOJCN.JOLEGFANHGDMF2IMNB2INLAN
HBDCGA.MCOMABFGMLACA.DJ2BFLNANCH.B2EA.AL.L.KIEJGFM.DBI.OJAFOHBJOHBMCO
IJDNCDMBDIBJAI.BFEJEJG$INGMBOIGAIOEKNBMGOAE2BHDED2CIFHLOLGEKGBFJO.L2F
LM.2ONIKNAJIDE.GFGMIDJCGKEA.DJHAEIEOBEHFBG2L2FACBDBFNGCMEINHMLCNDCKGE
2MIDGOI2B2MLGF.MD.GANOMKLF.AB2KLFGOJIKCJECIFMFEDM.MDHKECH2A2HGLJCBIHN
CO2KADELGIBKGEGEKOIKALGNF5HI.MJLCDJ2A2CMJG.BLDHIEAB.FGJLHD2FAFO.IGA2B
$LAJG2ODINKLBKIEKMHGHLONKCGDKBOGOIBDMOIJEHL2AI2L.CDBKFDBCOFNJNAMNHMEJ
EJGNH.GA.IL.L.CGIL2CIM.CAGF2OKMJLB2MKDCBG2BONFJAG.H.KH2F.HFKH3K.2E2BD
HCB.IKI.O.AOHFBCGEOMDBEODLHLGEHIAFDOBGACHJHLMJ2BDNOEHMN.K2LEMILGDJM2O
AB.CGK.DJFJHD.BMOBHLJCBHGEOBAMED.MFKM2F2MAHJHBKBA$FJNFBIFAONGNCKHALOB
EGOIAJIJMBM2GEHBOJELB2NHBK.FMLCHGFA2L.FCEKHOKCNDHMEMOKGEA.EIBDEF2MEMO
HCKCI2.B2GI.MNDAG2KOKB.H.FN.CIFBMABLC.AGBICKFIJOIJMNFBL3A.KM.CEBNCBCD
L.2GMKFAKENOLDFG.DBABG3ABOEB2L.OJE.LAH4IDBFAC2D.JI2.HAJCL.NDJ2IM2ABHG
DGFMEIJ2.KC.BALFGHCFE2NMKN$HBGBLEAGDL2BCMNJF.EGEOI2MDHB2JLNGHBDLB2HLO
EINJMNMGDNILNFABG.IE.IODC2NAB.K.ADH.LIAKLCEKBEJHKAJFBFNDC2EKJAEGELAGO
GA.EDCNBHGLILHLMGFBHODM.AEHLGCBINFHA2OLMBNO.H.GAB.F2AMFDCMAGNJBE2J.KB
O.F.L.GOLNMKOCFDNLKOD.GJOBJABALM2KBICJDJBMEJGI2NEJIHIMDEINF.IBENHOHKN
2DCLB.B$FDEG.OHGAO.IN2HOMDAGJGA2LB.CMAEN.MFGHLB.FHK.DFBLFHGHCN2KCDJFK
C.AOJEGHIFNJEKDLBHNBIHBCHD.BFAGFENFDLNBHCBEGBECJLAGD2OFKJL2KCL2AGNCEB
LONJKAJG2FLHEMH.D2GNHEI.O.J.DCAGBJOCDHIHELCL.CMKEFDEONLOEBOKDLMCL2NHE
F.2D.IGABLNMHMAIAKOHCM2ELAIDFNEH2BJ2AL2IKAED.KL2.CKHBOCBH$.ILM2OKIFBC
LFHIJCEGAFBDFJLCLNLGAB3A.LKDLCK.OMIAKBCADC2DIEO.ALCMDJKMOFKAK.GKNH.MK
LKDJFCHAHON.EF2KJL.H.NHNFMNIKH.KM.AKFGEKANDOLFE2CBGDLK2ICMGCO.GJAKLH.
GHCJCDAJHKMDB.NDKNCNEIAOFHLJ.MCHMF.J2NIO2FAIOJLEJGO2K2BKM.MLOLIFGMJDM
CFLKGNJF2EBE.ALN2F2JEODBNHFCB2FDEIJDJ$JKL.M.MIFNLFMECFJMKMLICEIMDFMCB
AOMDLGLFNBKIDAIBIMNJA.DLMDAIHOJIG.MHJDCDCOJFCNID2NKHDK.DIJ2G.IAM.2FOJ
FKOC3MGOMGMHDHNELEAHO.AEDFI.MJOIL3C2EDJ.LGNFHIDKJF.IMNI2OEDGD2KBMO2NL
NGCHDJI.BLDCBJMDMKDECNABAI.KMBONJKIOGI2DA.CN2ECEC.L2G.HFE2J.KH3NILKHC
IADAHAKGOIEKAGB$DE3IM2.CMN.DIGLDFNFNG.ELOEKMCIHILACMFCIJI2ELD.LNFODGJ
DNFAHIEFEJFOMG2IBOIMIF.AH2LBAJHOGKOMLH2DCNGLHJDOIBFAIHNMOHLNJGLG2HFHD
.DIAG.LGCNCFIKGMFBGMFGIMHLJEIAE.HBG2KJ2HGJGKFJAJFGCGAGAFMBCAKLAIJGFCM
ECFNG.KBKINBFJIOBAMCD2BELGBNLOLFHLEOBILOKJBCFHON.MBLFJMCIOINHBMI$A.CB
HN2G.IJDN.HFCJBFNE2MCLGDOCN.BGJODEFNDHBNBHEDAECBM.NCA2OLGKINGHMNACHOJ
EDMEILAGKGBCLOJADN.AFL2.D2JDFLMKLBLIDCLKDHGA.B2EFMLOEGICJKLGMDE2DIGNL
BNEDLCDGIKGINLONMGODBNLNGLKABKCIFHGMEIHOLMI2OMOMBOHJNKHBKOLDODEHMCILM
LGMBFBIFMLO2MI.FOLFJD2JM.OIFBHLIOL2IFN.GHAHIJ$CFMEJOBJMLBMLCGNIBIFNOL
JBN2MG.BCMIAJ.B.GDABIDOCLGDIGB.MDHE.KFCGOFCIJLKGLEJGDOLDFBOLEOCNOBG2A
EBIOBJGDJIJOMGJLAMDAE.CHGBDAHBLOGBMKL.HD2C2ANDKB.JOIKAHDLKHEFNIDANHCG
CDIB.CKBI2FMOGCKEN.NBC.2CGCEDCAJ.KANM2NIJBJKMLM.OEDLNCAHCDKCFKGENKML
2NE2H.NGHELMNFGCLFNGMDNI2LN$LBJLBHDBM.JDBKFOHJFAOLODINHOFAH2JLIOBGCOK
NF.FCLNBMBKJDB2LMLADGAFCKCENIB.KGFC.CAGOIDN2M2EFOEFOBMFOG.AEDGAONDBIB
DCLNOC.FAFAFDCOKCEMH.EGNMGLCD.JKFBKJADGADBO.BKL.MIC.NB.GBMABHBH.LMFEC
LGFJ.JFECKDJOMO.2KNEJADIMHDJFKEHGD.EB.OLABMH2M.2EDIHLFMLF2.KG.MLOMOHD
H.BJBGIA$2MJ2BEOHB.AD.CICBKIADIHFLGKDM2BAMIBGLNBOKJBLINACDJ.J2FOE.A2G
CBIMCGNIH2JFOEBEKHDLOBOE.DFDLGNHC.HNKEHMIOCOCI.HCLEKDFLBMFLOAMFA2IKBH
LEICJL2AJGLMIHBHIKNGCOKDGLIAO.CE2DCFMEMKGJI2DF.HFGHFDBE2B2ID2HBA.NCBL
CMHMFI.FHJIHGNA2KCNHBJK.FID.HOECKCHEFD2KLNDEMANKOBABDEMFAK$JA.OKNEHNE
LFIE.BIOE.ON2JLCHFOM2AGK.LOBNAFNFHOJEF.EFLH.GIEKBGENAOEDLOKEBHBOLEAE
2AEDOFHCEGIGM2BFNAFNA.GE2AJDCI.EJBMCM2.M2ELA2D2FGLOGI2J.NIMCEOLNHDBHF
LMJ2KGNHIADAKOJF2GLND.AMEDGI2EBKLKHNJL.FN.JNEKOGB2DI2.OKFEMIANAECFKFL
B2GOA2HFLIDFADHCNIMBJB2IKNKFEKOCEN2KM.GF$DINO.OHKCHJDNKMH2OMGBFEIKLAO
NKHCJLDIOLIONDEMJAJ.FIDLA2KBMENKMDKEMKNALGKOFOHKDEINBJGJI2BIMKENOMOJB
LMEBOCB2GLMBH2DJODGLDOCBKAFILJLDBNBMJGICHACHCH.LAFGMAKLJOIFOIBKDLIGFO
.LDKDOJAEGODAC2JOIKLOLCD2.JDN2CMJNJCJ.GDMGLJDACHIHNGMKE3NFCKDKFBGJBEH
2.2DFC2HF2H.FMJDC.LN$LNFJB.2KBE.ICNCNFG2ANJMN2KGILFICHEAGLFEDFG.FLNBL
J2O2ECMIJI2NKO2HMEFKJGHE2NGBFANMIMILDMOCJLFEKAO2BIMFKHJ2LMO.LOEJM2COC
FLB2FNADEFM2HFLOAGKEDMCECICIMLJGAOG.CAHMIGMDCLNCOK.HNABHNM.FDLGDEHL.O
D2NONOBJEOADG.HDEOJDG2DNE.MNFBE.FGINLIEJABDELIOKOB2N.HIMEBC2MCFJBKBAB
K$EJKLEMNBOFNOHJCO.OEHFECBNKMOKIEIC.HA2JEIOAKMFIODNAFOE2.JOAEICILEFNG
EHBJEKGKDJCBJKHFD2L2OCECAHKODH.DMEJIHJ.MKOC.NGKLEFLNLJKMOH2LIOACAB2AI
EO2ICHMDIHJONEKGIFAJ2M.JCIBEAGCHNDEG.GBI2NMBJCI2MCHMBFLKDKMA.AC.MK2NO
GIBIGKLCFNCINDN2.CDJ2FLOIEB2OMH2G2NDGF2MB.GFNFJ3LH$AHMNHNDIKCF2OGADOC
JFL.I.2FDI2MOANIJ.ICJH2KF2LNBABIMECMENMHCFELGCJNC2IODI.DFK.FGNJEANBKD
GJ2OMIEBIFI2DAOBADJ2HNOFJKN2AH.FL.EAIGIN2IJGJHCHM2EJNELG2OKB.CG.FH.LG
A.ONAJNFBOJ.2HDIDFHMHKFN.NGEDBL2CBJNCAHBCNOIJDG3HEMLNGNIJ2DK3JKOEGHCM
J2MBNLFBFLD.BJ2KDGDCEJDGJBKLN$BAOJ.NOLHGKCL.LGELADBGABEFOBCMICIGKNLJF
KLODLOE2NJAEBAEON2FK.EA2MK.KBNKGJ2NIALCOBJLKCHCOE.DKCO2HLM.NEBAGALEBA
JLIHKICMJMHKIMLKEHOHIJ2CB.LAGN.2L2IMN.2FJ.OM.LDG2KH2BMALHC.BICNBFDOE
2FJEG.A.HFDJBNKB.EINJFNEBGBEG.2N.MLA.EIANOIDLFELAJGH.JCEHKOE2.IMLCGAB
JGHBE3GHBH$J.CJMHADGMNE2OHBECNMJBMAME.D.BEKHGM2EIKMD2GH.JEDGDANA.OEMF
O.DC2NLNAJINFCH.H2.DLA2JGM.NDCHNI2L.EF.MEIH2IBCKN.FEKCIDEDOL2DHNOM2B
2.BMKECDAOMF2MLHDHFAHMCKLGADJFLHKOGOM.DLIFBOFKHMKLKGIA.CKGJIAMBDABMCA
LIBAMFNB.OIDNFOKNJO.DCEBGFMCMFEGNKLKBDHFO2DJINHLMA2.IAL2IMNC$KMKIBDLK
LNBAKMG.ODBKEK.H.LHJGFDALA2.F2KGFN.JCFINLKBDEHGMCBA.DKN2OAHJL2BMO2DBL
D.EN3GMFBLCHK2CEJB.LKLHBKNMEM.CDOCGJI.HGM2.ALI.BDJDL.JLHGAIGDL2E3KGKM
2AINO2AMHBJABHDLJDFHEGM.KJ2KGJHLO.FCMEDEC2NGM2CIAMKLIDGC.MKHAMHNJDKEM
HILJOCFJNOGOKLOBGIO2KE2.FKBE.NBIBNK2EN$GDIOANCKGDINBF2JFGO2GMJ2AFJLHD
I.G.HIAHI2CNCKIBLEI.J2OIJ.KEBJGDMJDEAMIBMCFCO.DLN2HMLJ.FMHDKCAEC2I.FB
FAFONJOAJDBFCFEAIHIEI2AEKB.LBABCL.F2ALIGCJH2OMNO.FMFKJNKEOCI.FCI2KFIA
DEGICEDMNHFAECEOADAMHEDK2A.MD.MKLCDHNGCF3BNALKOMBONK2FN2OAMOBHEFBKMFO
2MEDHKABENKBHGAIGA$2ONGKNFNLIDHEBDKLGHL.BNE.MHFEFEBKMF2HLFKM2.FCJODBN
LGALIHEGFIOHNI.BOMCGK2NHKFI2FDIGI.KFGCMADADBDFBEKBGNGMLBMG2JCNI2OLAKN
JMHMLJHJ.M2HEAGBIJ2GK2LC3OGBDIFIFEIJ2D2HCIMFHKDKABD.AHGLBKGH2DIEK.HM
2DEHLEKBDFIEAEKHKA.BKGNEA2CMFKGFILNAFBNJLK.O.BMEHICHNOCAGBEFKEJFEC.N$
2GNLC.HNKGEHGLGLCOMDBC2O.KD.BEKBJCLIL.DJFNJDEG2EIMHGMJGOECNFNACGB3CJL
K2IMJL2MKBDNOCA2BFODNLC2MBGCIJLFDEFGBDHEGLBADADHJLHOFEICANIH2.AGJCDLF
2NJICDCFKLOLAD.NEIOJAMEBHEMJAOHG.GNEACNML2NDOJCMAGECHOIE2DH2CKCNOGCBF
.GKOLBEHJOAOIKMI2BIGHO2G2CA.BDIL2O.OHJAEI2FD.MJA$OFJGJLKDHIOIJNDGMGAI
AKNIDIOF.KMHGKLFAOFI.CBA.C2ANICJFODOMDKLGHNMNBOJBJAMJK2NBJ.NJLAMCBOKL
OEMCN2GBJNHAFI.JIBHONDIBFDBCIKIC2.ABKCHF2LEAOLJKA2GBNBHLFMEA2HNFIL2.O
.GD.JIBF2LNABCGOAFEJHGEKIGBH.CEB.FLI.JEAJ.KH.2FIMK.KNDECB2JGABJMFODGD
.FIOGAMJHGIADH2ONFCKDHOLIGBGC$KFDADNALCG2D.BMFMJGEMDMLMCK2.CMOB.I2HBM
BNHL2EHBCEKLHLCEBMBACJHA2EIFK2LOECMIDKGE.NMAICBALHKJMG.C.EDKEHIHGJBON
BNLNMGOJAHCLOFOJGJAFHO2.CIKFC.LOJ2.EK.MLE2NJMIDEJ2MBLEGFBALFBHF2CFNGI
HLCKEIGDGDKNDNKFNOAHJBEDMAFILBL.MG.M.2MINGJ.LIM.MAMHC2IKLIGHCNHLICIEG
EMJI2.3J$KBNF.NL2OMEDJAED2COAJGNCLAKJ2FLAOLCI2BK.AGHJH.MDOMGLBAIA2I.G
JKNIJBJAJKFJD2MIHONCAH2.CKID2BOGOKCFALCMDHCEGMLAB.BDC.HB.OC2OKE2IJMBO
KLJKNGBLCFAGK2FAMJHJM2OMLINKDCMFNLFGFLIL2GI2MKLAEKJBFGIB2KEFENANAD2AN
2MHNDKBFCDOHIMFCGKHLGALBJNELAINGHFDH.HGLADMGMIDA.KAODCLADO$BCIOCHNGND
EBKFNJBJM2HOCGEMAMBNMHNHN2CLBLJKILIECONJE.KCDGCAKB2JGCNGLFNBIGBDLHMJK
.FI.LFGJK2OFE.JIDIJ2HFOKDEB2JAM2GFIAEAJNJEHCJKFIHNHDMIJDHJDHFMIFDB2ED
B2MFHILECM2C2DJEDAO.OGE.FOMO.H2ELHCFONGJNADBFM.EAFLAGBLMC2BKBFE2CGCNJ
MB.AIJKH.GNL2NINLACG2M.LBAIGJ.GOJIKN.HM$BDIFMDINCFEHELICLJACIENCICOCG
FANCOLAKGD.NM.CLAEMDJINGCGOKFDLK.2NCANCKJIELMHILE.CNJEGM.FMOKA.I2GDNI
L2AFCNCLKCB.M.JM2LG.GICGKENGI.GBHB.FBC2MCHLDAIND.JNHJINM.DEBALHBCLILF
DK2BAB2DKGLN.KDBJLKIEH2.HAMEFKMBLEFIHOIAKH.2NEDC.AKJB.2KOIBDF2DMLJCOD
J.BHLEOB.LEKEDADCAGB$LNOFANO2NMHAIKIHCMONADBAJKFEGHLMOJMLMODFLHAIAOFI
DIDAIKEAE.MAOGEBLK2CANIOGACGEGNELDNLJANBD.2CNL.N2D.CFGMLFDBFGCGIOEJBC
MNFJD.2EGLELBKFALDK3IB2FJ.HBMDAIHDBAGECNMCEAIFIOCODCBHBHDJHLHDAFCMKJE
OFMFNAIF2OL.GDBNDGFA.F.EGNFHL2NB.KAOCK2LKGAFHKEKDA.DEOIKO.3BFHOFLOCI$
DKLGANCABDOGJMOCJNHA.FOKJAIOCMNOEDEOKMCIHELJLGHMO.HA2DOHBKHJHIMKJOMOD
GJNBL.3LFO2A.D.BEFAHMG.BDNJDGFGNKJNF.MAOFLILO.HJFJNFCDA.F.OC2.OEMKNAN
MNH2BCKNKMJIOFNCBOKIBKLNLEFHLKCFLGCM2EADKAFJKOFLBKAFMFKEIANIMEANLMAGB
LAMHAFEKCBJ2EGIBOHO2GOMICMGMOGEAGJEIJEIFD.D2LBOL$KFDEN.E2ACLBJ3NAENGI
DIJKM2J2OINEFDCGKC2BODNMDMBGJHIHJGNE.GBHOJC.GMBE.OMAEO2BM2L.LKI.OLBHN
.FBEGNECBDGCN.NKGCBOLDGLKAGA.2OIGKFLHMBNGKL3MONADGELIOGFJDE.DLO2EKBHC
NMEHAJHDBLOJEABGAEDOKOILIJOHGHCODOCOALNHKLIJCFBMLMHLNMLGC.FJOEJEH2.CG
JBGCDEJENE2F2.K.OLOAEB.EFLD$BHGHKL2HMFCOKFGDKMCINI.HOIJ.KI.DBLNB2CGK
2NKOHAFC2OECIE.MOHKBADMBOME2FBI2FI2CIDAFKOBELAFAJK.LENJGEJEIGAIHGMI.M
LKINOANCM3.GMFCFEDGMCAJMGLNLG2.HJ2.AEKHCMOGN.2HML.OMOENFCAKI.JMKDIMC
2JBK.2KNBLNJ.N2MBKC2A.GOCHLOE2IMGKIGNJ.CFJKGCFGN.KHJGMOFHCE.HNMFMNBKM
IOBLKIDML$LKILI2NAHFDEOAMNJ.ICAOHAHAL2KDEJOMEGA2.NMOCIM2FJHKAIGAKOBOH
DEAGCIKHDIHJAB.NHDL2GBCFCGAEK2JNAKGODLE.NJB2NMEI.DA2F2OCBNHGFCJG2MG3O
KFMJON.MEOKNHM.FDNGJNDHG2EFJ2GCOGNLMB2MICJG.KGFKCIFIDCBHNEG.AMD2AEFIG
FBKAL.IDBADKMAD3NKC2NLEI2.LBGMJ.EFLADBFOCOE.MEB2N2.DIHFCN$LI2JLNI2DMA
.2GBGAHCMCOBMIMAEOKJLMFIKCKOFBJMD3O.DGOE2FKMA2NBGAK2AJ2GALEKGEBMCN.HJ
BJLAKJKICMOG2I2NMFLA.OJ.NHLHGNFKECFHJFK2JHKDIFJNACGOLBDNAN.ABGDEHDIMB
FI.M2GAIJFCEDHBJHCMEAKB2KGNABM.2DKABKCAHMLECMKCFLFJOH2LAKO.BKHOJ2MGLO
ACJKMCEHBGDMHM.BFMKMONHIAIOAGE2JBGFAD$BMNLCHKLBEMJFBGH.OABHD.FBHLHJGA
CMONHKNILMILJAECOEM.BGOACMOA2GNLEHFEINF2LH2BKJENECGOJN2HLJBMAJ.HOKMHN
ODMGBCHNKIFAELBDFO.JFDA2JFNMD2JKJ.F2CLDILOKDM2HKCFEMCBHF.MHCJ.DAMGDK
2HEO2DCH2FGIJEDOH2FKBIBOHNM2DKGFEAGFGOCLNKDHNFNAFH2LCALFBADFI3ADKNC2I
CMKILE.KGNAJBAFOHG$2AELCDFCFHIKMNOKJOFK.HEHFLONMCKHCBEIJDMJBFBGCADBNH
FHKFOIHKALIBJIAG2CDC.NF.NKJICFOKHG.CAGO.A.FD.BEMJNEIKOGLKA.ANCNMD2HAG
LJ.EDBHICD2NBNDLE2NCOAHKLBOKGNGCNALININCDGBODBCEAOGINGBA.GMKDJ.EJ.B2H
D2NGNLFJONIMOBMHLIJD2AIMCMCEIOEJLBOE.LGMCLNJNIFEHICEJBIBM.CNFIN.HIKB$
JMBDLNLC2AH.ODKJABECNDAJHCLBLHJGAJ.GDEOKBLACHODCO.DBFDGKDNAKMF2HMHCOD
KDLDJ2IEFAFAIGNGD2FIHLGNABAOHLFEIKLO2DM2HJDJC2IAIMLIHEBNIHE.IAFMBGFAC
NLA2HF2EAF.MBFNEMGNFLCL2FHAILOAJOB2OGLBNOG.AIDJBCDKACNHGJHEICEIKJKNHC
OJMN.NGM2B2MEBH2EONDAJOE2MBLFJFOBKL2CBIH.FAOHN.KN$AMHNANOFDHK.NMN.HBN
E2CGIHFDLH.BHG2ALIM.GOEJHCHDKLAKJIELADACOGEHJNC2I.HI.CIFMNFKO2JMHGFJC
JBO.CO.DKI2.B2NGMEDNFIL.IHDCBAD2CGCO.DMNJ2EAHCG2NDFKOIEKGEKCJCDNKIFMA
NFILFNIMBLMANIDLCFCJ2EN2.CIHO3IKCNIHLGHGHGFGBKNFAHLJBKC.OBEKGFGM.O.CM
KNDICBABADIJOACLA.OFNCMGEKMJG$GKG2D.AFCIEHLDIFOIEHCNJMJAJGBFCGHAKCMFB
JLIABDFGEGDMJFB.FINIAHILKGBDIKEACFHEBF2AKMIMOBDNHFJLDGIMHKHJFMAHKBI2M
LME.NFG.MCNKJFBEIBKHDKLM2COIGKNEMEDELIKHOBKAJ.EHC.CBHLF.2HEGBKHOBIABO
K.BKHDAMBKBNF.2BKNBJAIMG.F.2ND2IAJHCAJOACDHLKBNF2DGADLH2.KNFM2EMNEFJM
.CNGIOAJKE$MOBAFLD2NMHOKCOGIAKIN.KAOLONMCOLGBNE.HGNIEFINCOK.DMLODCDFO
EKBKFDINHIEK.ONAJCOCFDKOHMHGEOLJENMJID.AJBIMIBAJBDJOFNKGDIFJMOB.CNKMC
M.EHDMKBONBHDM2ENDKCOAFJHMFMDHGDG2ABHDEKGEKOMA2KAEJAMBDOGIGMHMNKCFHAC
MBHB2OGF.I.LBMEBADACK.FDCLMKCKJMEK.D2IHIBKCMBJBMALGHJHF2ABOB$GEKMJNJF
INEALDALIDB.GCKOIAFIKBJCDANMEOBKJ.LHCINFKILJ2FJELNI2GFHOFCGDB2EOMNEHK
EMC2GALMIACAJLGFJHE2MBMGLDFLBDMEH2DADMIL.BHLOHDIOHFOMKAKE.K2DEC.EMAC
2EABFANFC.J.2LAKOBJCDOELH.GM2CJNMJ2ILEFAGOFHKHKFJG3CH.2OIEGAFJIGHBMCF
HCKOEOJDAH2BHMAFBNF3KND2COC.HFOH2JAD2MIJ$EG2DANEIDGNHB.B2OLKH2.N.ILAC
NL2DCFLDN2DM.FDHFBE.IOLNMBDCMEG.I2DGAIBDBLDMFHI2LBF2CJIGBDCLEFDJEDKBC
EFBIHJ.EJEBLCNLCHCIDM.AILD.ECKNENGLMJLHMIGLIMLGIACICODMGAOCNJMLHAJ.GN
CMI2MHFLNIJLNOAJIFDLEDBHG2DKCM2OK.IJMID.GOAJCBKIJIKNAD.OGIHCMBK.AKCAG
OBOL.OHKH.EILNHJDIGJE$JN2ONHGAC.FLOBDJNBJ2KBEOCEAGHL.JELKDMAO2MABDG2H
DMO.BFCEGKN.OKNLE3KCIKOBKJ2IECDN.BCGIBNFJGM.JBDG2EFLBJNLMNGNDJH.CLIC
2MJCLBIMAB2OBAMA2FHOJMAGJHD2JI.AGIDNBLMKDJH.HALEBMJHODHJ.NMEMCN2KJKAF
.ONLNLICEGJBOBL.IDJIAGCKOILMN.NFDOLKEJNEHOEODCKGDLMJIMNKOL.LDFNHLFIEI
DN$HDOHCDBIFEOJDE2HIBABIBCE2HIM2KO.2LKHDA2ECI2FIEGLGCI.C.NMICHOMO2BGC
EJHKGH2MEIGBJN.JAFEMCJCHKDJNENEFE2CM2BGFMJLFCJCL2BLJ.HGJHEN2ECI2AIGBG
ILIEAE.IE2GLC.NCLJ2LKDG.IN2HBFKD.NEBFKEAKHKMFKEOCHL.NGHGBDADE2N.OEGBC
HMGAJ.2KCNJC2FIFOFNI.KHJNENJOINADF3GMHA2M2ILODOCMJN$ACDIBNHI.NJID2AB.
E.HMKHMJMKAHDENJA.IELI.EKCGNDEBKFIB2FBMHNOHCAGJFKACBGNKNLAFD2IMFLDOGO
E2BA2ODB2.DCEBOKHLDNHOIAB2E.N.AMEKLOCBNHOCLFDMCHIB2GDAKNJ2AEJH.ICAOL
2M.JGOMABADCEOJMNGJIMBMNKIBDGEMLJLG.LKIKLHE2FCKNHNDNIC.HLG2AIALNCM.KE
DLGKMGN2CKIO2CONEGNAEFIDFJLINF2NA$GFA2LOKLDGIEA2.BGEJGI2GALNHLC.AOBEK
ABNLGCNJBHMDNJ.CBANBCKIHF2MOGJMBIGIGB2AMIOCBECAOJACF2HNK2L2HGEDGBGMBF
HN3J2FIJBOFN.KELJLNDE.J2MHILBABK2ACONLHL2MKID2FDFCKIM2NEFKM.NO.DCNG.F
CGOGM.BCD.FIODM.KMEKBLIOFACGHEM2OCNAMLHC.BKFNK2.BJKDIFNIEON.2OHOCBKJH
GIBI.ELD2.DAO$LFHKD.2MBI.HMNHCNKAIO.CJNGCGLIHMDANKM2.DANOAIKEMGMHJFA.
GBOEC2OJAFBIFKIDIGEMNH2IOJ2DCFAHF2HAECJ2NIDNOMOAHCAEBCOABENINFNCAK2F
2BDJANMNFDIAEKBMACHNE2I2FLIOFLD2OCKHNJ.EOJFBLO2COM2EB2OBDMJH.EMAOKAGC
ILG2LFCD.MDBGI2KFDADKM2.DILIOM2E2NEAEOF2JFBNEOIHEK.AGBJ2.JIACKEB$AMJA
KM.DMONKIDJNHCHGAOL2C.2NF2JBDOL.HMGB.EBNCILGBFJDGKODAHIGJOLDKEIDODFJ
2CBNCFOFMNDCGELGCJDCLBDODNLADIHMGALBF2E2HLMCKOAHILCIJAMCABJOLILCJBJDH
GEAICFBMANKHODCNMGJMJ2B2EBNKGAJDOENO.NOEDFML2BHCNBE2HNBACOECJMODGOD2K
JGJILEJ.O2ANBNGNAFMKHL.FIKMJABI3LBDI.JO2I.LMF$JFKFENFLGAG2HKINHFOL.N
2FMD2JCLJHBKEJDNDICLFBH.IGOFLJFD.DJODN.GEIKACLDB.NFEMBACFDMIAEFH2DLMD
AHILCEJCDNFIO2H.EDCEGDGLON.EDIGC2MDMJHEMLFKB2HMLFAEAF.EAKLFGNIBDAMN2M
.MDODF.NLGHBH.2DADBJLKOBNBD2GA2OCIHGI.K2O2GEDAMIOAIAIAFLOEINHKJOJNO.H
GL.CKGNBIMHGHLBMAHKHFGCIAJC$GJLFBOA.BJMJLNFLNMJBOHBLOMJ2E2JIB2MDEMHEJ
2MHJIOF.EO2FGEAMNHACBIJINJHOMC.BEBFDJ.CL.OAEDCFEKEHIKHDA2D.LOEHF.CD.C
BGM2IKAIC.M.KHMIL.DA2HFIFMHL2B.LD2OIHIKD2JCGACBGKOEDN.GBNHC.K.IAEOGE.
ADIEJLG2HJCNJLIG2FHIKEOC.KCGDC.AKJ.OMDBMJD.OC2G.2IME.EMLCEGOFBFBNJDHJ
KHDIADND$KDOIDHCH.EAJFGDBNDJC.GB.IEOI2MKOEOEGKDEOICHIK2.OEOEAGNAEN.IK
EJHA2GODO.AIJL2BOEN2MLMCGCKIONG2BAKMHDB3.OADCHIK2NDCKFAGDKEFBJDMIKNI
2ON2LJKLI2AGEAEGIMFNCKHGHLCOCDKOIA.ACOEBILOJLJHDNKLOHKMIKBELOA.FBNHJD
LDGLCIJG2OIACOMNJDKBKNJEDCAEGKAG2E2GLCINJDKCB2JFMHD.CEJ.LB$IMFKNEN.CK
FCJOEJHCAH2EHKOEM.O2.DML.NI2MBAGK.M2NKBMAGLCEJOMHDHIEH2EDHGDMD.DNACOD
LBH.DMONFMANK2DEGMF2NLAIECK.NGNLG2HELBK.MHFDJ2OMOGIBFK2.NGNHMGLJBLNBN
EMKCGOHKFKIKNEOGD2COKNLIMKEJIHDGOABFEHBGAOLKBMOHGOFCHG2ICEH2DNBHFGIJG
NGEIEIJIBFOB2NJLCIHOGONFGMO.BGNFHEAENFH$AOCEBND.MFMNHBJ2OF.LOKFIBHCDK
LJBM2NBA2CGDCFGBLJEHIDAH.CIA.FHNHBJGDLNJDIJEIJNBADILMHNICMG.M2KA.JLAC
LDCMENGB2MGOMJ.JHFCID2CGJFECBMAJELDNKOIFLBCI.AOD2IDML3E2FHIMIFCK2BMNA
.INGEHGOIMNKF.LNDIKHIL.FBEK2.BHCIKGLHIBLFBONFCMIJABHEJBABFNAOMAIFKCLI
M.MCMDGM.IFCILFEGM$EDGABOGCO.IEBHFJFEKIBDOBCHFODKMCENCMFO2HDBLGLF2GIN
.IKO2NFDGAJBA.OLIA2I2FKCGANENOMFGLNGJGKLA2LMKHGELKGMDFO3AMHCG2K.HMGI.
J2O2.AOBIKHIJ.KGEIMGMGFKADEBJM.GCEIL2HBOGLEHMJB2DC2DBMD.DGJAGMLAHF.BH
AOJIDEIEHD2MBOJ2LAC.FNM.NHKFCNB2O.BMLCIJNALGHNIJI.KEOJMDMEK2MKOLHCD$I
GFIO.IDMDLC2LJEMLDINIC.FOFKLHIAIG.JHKNODMNLMEGJGDH3IHA.AKHLA2DNILKFNF
AELGEIFE2HL.GMGINOI.I2FJBAFAOIMJF.DOBJFAHMDALA2.2OGD3BCGAFOGO.CBMCMHG
.MJFHFBLGJECICHIBJGEKA2FDOBHF.JGELGNAJEB2CHBJA2OHKAHDMNJKML2ECNOIEADE
2NEANJK.2MILEH2NDBCJ.M.FKIDF.ANFAJF.M2FOCFKHKM$N2AGLMLKHJGBFHIKHCKEFE
FNLGFBEM.EIBGBJB2GDO.MGCLIEGMKBJANBC2FHNM.FCGECMLFD.KDFMKNOJEIHLJHOML
KAFJF2.LHKEGIJCHL2.HGE.KMB2MIDILHO.CGKEJ.EGEICMONBMHIOI.EKDJFGK2EK.FK
AI.CAEIFNLDCFHB.HC.OJLDLDOAJ.K2EBO2H.CEIDOEBEI2AEHDLGFOANA2BFLCMDG2FO
L.EDNLGHMBKOMKIFE2BOIF2EB2F$EMIFJNBDANLJCFDEGECHLBHFGIGNABFKIKJO2MFIH
ABGLJHMD.AH2J2MLB2HODNOIEMJBNJNK2GHFDBKCIHLA2ONMBEM.EKNGN.AO.MI.INHBC
JOHIADBH.IK.HJFENLICLNMACFHA2DAJHAN3CHOCGADBKALIEMADKOHA2H2AH2AHBEIOK
AB.I.OALMCA.HOFBI2MOKJGA.FHMEJ2OHGMHOAMKHIMJDOIOMNBODIDLH2ICLNJC2E2HK
DGEKAFI$BDBNLOLGLINHE.3NMNLAIMAI.LIBDKLJI2LEFLOANGBNDLAFJGLADMICJDECM
H2JI.DENAD2KL2KFMIGDI2KLKIJBOIDNACGHOEIG2.DAD.BGJHFHELA2LHEFJD2LHOMJH
KJGOB.IOCFO.LDNCGFAH.COLFMAEOLM.GAFIDILJDJK.JEMHBJOIGI2E.HKOMLMIFGA2G
MOLC.JKOE2DCKOLKAIBCOLCINB.GAJIEDCDBGCFAEBOCFKOBLJHB.2NO$E.LKDIN.IDNC
MOHNMCOJHEFJDFGNIJ2ANHNBCGKCBOAIO2L2NM2.KBDLFCLIFBOJKH.LOECBFHLFG2LAL
DMNGM.E2HKH.KMODIKLHF.2GCJO.FHNC2HNDBD.EDENANCKHBNBMCLILOBFBGA2EF.JGE
JK.GDN.HKCNFDAKICDAIA.CNK.LGNMEMBA.INOCLCDAED2MIFLKIDCI.K.G.C2AFKCECB
DOAI2EIMHMJGA2DNC2FK.LENCK.2KDGIDFC.C$ALKFDEIG2LOG2NEAHBFMC.EKJEJEJ.L
FG2BKIJE.KNAF.JH.MEONINC.2IBMJOD2LNBMAMC.OFIEM.CN3DAGJ.LKMK2EFA2MLE2.
E.JMJEMAKHIOCNEKDHKMEJBHD.JNHAKIOJDNMNFHLNEBDNHMEKCHCMONKNKFG2DMKB.DA
HGNFLOKCAH2FLAGFNC2AMAHOHBK.L2HABKLA2LNIODLHOJNINGIA.GJNBKBGMLFGDIHLK
JEOGKEN2LEBNFNJMO$IAOHM2OHEHCNJ2GAOEGODCL2M2FIE.LCHAJBHJLO.FKBEICNEKD
.LBM2NEHLAKHGBCE.MACKHOEANLBJBMAM2NLFBKBIEIOFGJ.MBO2AE.DFE.LELCGKIMJD
OB2LBKAEO2CB.DLMGNEMJHIFMAN2IJMBO.IAGE2.GJAIJ2GDCO.CMKE.EIFKMCI2AG2FB
D.NDFHNEOJCDCHDKHOKL2IDNMHJMFKG.F2J.K.KBLOANFI2ONFJ.JMHF.EOAHIBKMGM$M
IKMBOBLHCKABDO2FDBJMINK.DMEMC2DANH.D.CJB.OHODNDHICO2HCBE.2OMCOFLBN.EJ
CKBOBCLKMOHIE2MDFNBL.OBNJEBLNLAM2GDNJC2NEJNAGHOFNEMFLDBJIGNOF.CNDN2KJ
FJD2CGIBH2O2BEFI.N.BNBHMKDFDI.L2MBIHMKELBN.LKODICJONCFDE2LABJDGHJHNFH
BIDMJAIMECHME2IGI2JC.CMJLK2NKGAH.3BAOHOI.KANGAF$2OBNDADLEHI2JO.LNJKGO
2KOCICADCEAFC2OMF2KCG.A.CML2INGNJGEBFK.AOIDNELGKCHJONBGIFD2G2CJFDBO2K
I.2O2CANAFNKBEJ.JNO.EDEHNIOJEGIJLFILIJMELNEFDAJNOJIKOE2DLNOM2LNA.3EGN
ILKCNBKINCOAOIGBNAGEIEFICIJCIKJK.2BFB.GEHGE2FMCMCDAHAMCNGJHDJF.IFEAKM
EIAC.E.A.K.GOHCHFGE.GFOJALE$CLDEGMGDO2.DBAKMHACBNDGBJOHI2KBEHL.JF2GME
DOHJB2.H2FA.AK.F.LIM3JIFCNAFBCBFGEGH2KBELNLJOBOAMGNF2KEIJFLAEFJOEAION
LDBOELB.2DIO2JLDHNOG2HFNOHAEDKHNFEMNGLOM2KI.J2NAINOLKHE2O2MH2FECGCEHO
BMID.NI.2CDAEL.EIDKNBNOAFOHC.2COFKIEFENEBE.IJFINKMGODOAO.DHJGL.FLNCLH
DMDAEKC$2JDMJO2MIEBHLFCBHDLBJNBOE.NEFEMKH.MKALGIKA.GNIJIJIMF.HBNDHF2E
N2B.OE.JKC.LBCHIJCGJH2C2OB2AI.MOL2FAGLFLJB2EDNFOFC2LHKI2HCGALFJGCKJCH
IHNH2DE2NMOBCALO2KGO2HMHJIKFAKCLANDJADADL2IF.FIMBKJB2HGOIDIAONFJA2DJN
.EFIGJOGFL.LMIEMNDO2KNBJBFHBEMEG.2BCE2MIBABND.A.MCDAKDMOL$EDENBOH.CA
2.LFIENKHDEB2.HEIAEIHKJLHJA2OIEICH.DMANLEB.JNJMGIMI2DGDICFGONJ.LHK.FN
CAFJCDMKFCKCMFMFNGBH3.JIOKFHBOENAEFLDGNIBNDBAK.KNIDFHF2IE.MOJF2OKBC2D
FNOHJAKNFJLJLOEFJCBKCKBJHNJDBFABNEMJDLJMNMLF2HLCJ2EBIE.DFBNHFMKNF.2BA
3.EBMNCNLEG2LOCMLGD.AHMBHEJNBCODMFCJH$HCGDOIJI.NMGBL2.NAI.CKBNC2IFL2D
2.H2CFJ.HGEKDA2KCGIANB2OLCIHKMGBAG2.K2JEKONHFNFMJKJBIJNMKFCHAEBKNHEBN
KL.OHLO.ECFL2C.KCH2D2I2JKNFD.LJM2IM2HODELMEJDBINCO.GMGFLHINHFJEJ2OGCM
CHLKD.MENFMNK.NLIDKAEOFENGIJN.FL.FHGNKGFNHCGFEKCEAMK2JDABALDMH2MKAO2C
.ANEOKNBAFIOIFIBOB$CAMGDFDABFJG2AINH.ABDCJDJF.MKM2DJOAOCHLNB.JFBJFIHK
BCHBIOHGEIB.N3LMIEFINLAEDFEDFG3NEMIJMJ2BLDI.GH2JNIF.2BKGILH.EL2MGFGCH
FJNGFOAMLMGBMCKAGDIH.GMHG.AGDBMNJMELHNGH.FHAC.BJNE.NDGHNKDGOBMFNGCBG.
IDHGOBJ2AMDFLGDBDIJCAODAMCHF.L.I2BD.KNL.LOMFBG.EJLEDGHMCICIOB2NBOC$3I
2COJAKDJIKAGH.BCALCJKNF2BE.IBKJC2IAFGHCAHGJOLB2KMDLNMOK2BJKJADHLIJNLM
H.AOHLD.IJOLF2BNIKAJ2O.MEFCMLANEAHLJAFND2IMO.JIO.OG2FNKJEB2OFKMLCA.D.
JF.KL2HBNEI2ME.2MNEAGEHMAOHBODJECGFBDCKGONMBGJHBHLBNLBDELKELDKHMKONCN
H2IOK2D2MHBMNAGFOMOKLJBLANBD.LNFLHBHIACIO.GOMF$LDMAM.MEMANGADLHGAOJKF
EOAC2NLGFBFDKJLANMLHDC.EIGHCLEHI2OIOAOG.HJBN.F2K2A2ENAHEODCKHMOHJOMOI
D.KDOEJNCFN2IEFE.NHIC.ECHCNKBDOBLJ2OJKIBMG2MENGI.2ED.NKEMFHKFMJCHKCMJ
EJCDGBFOI.FABI2.ABDAHJCNJEMGBHJIKICGMJ.HGECFDCOBEJOLGLA2ID2KA.OJM2NC.
2HINH.NKIEKLCOEBJCLJFEFGBJE$NL2KEAOFJFILFE2INGIECEKGEFIKAKMOLF2LMB2HO
JCBAEFCJMIDFBNAIMD2K2JAGH2JKHIDFIODGKGJFHKLBJBIK.KJODFAILNDOIJEA2GDBO
LENJ.D.MA2G.NLGB2JAJHMFME.ECBH2KEDCOHIDLFMNJGEHD.AECBGO.GB.JOBGAEA2OJ
DCO.CIJLIKJ2DAGD3E.OFCHIKEDNBAI3A.JHEMNBLF2GBLJA.BFBD2ALOICAFDKMDHNO.
CJ.FIJ$ALEKLNBNDOLALNADINAMHKO.LJ2CHF.CNKFJNLFD2BAOKDHKLCDF2.ML.OMOI
2BAE.MNKOGALGDBHGOMENIABAMEDHIE.BILCHEKGMCEF2E2ABHECBHMI.KHIKLNMD.EIO
CHFD2GJOLEBF2HL.CGOC2ICHDBHIGDCKEJH2E2IGO3EHCNEFOLFGE2.KIMHNKAOEIME.E
LGJLEJA3KHBGHKCDKDLDKHCHLILCONKAKGAH.ANOIKAEOLOFBMFDCKN$G2MKE.HFLFJ.D
IECI.KLJBDBHIO.AC.H.3M.KHJIKOCOL.I2.NDH2OI.OMEACBC2OJ2MHMBJH.DKC2GADE
H.GLMKBE.E.MKDGEBCDFAGJO.JNONBFKL2AMNLJNMNLC2EBDHINEDOFJALOBFKIHAIG2D
ONKI2LENB2LHELA.GAHE2.KONO2JDJI.B.J.LKHJMLKMIG.CKMLICLIDCDMJMLCMNOBNK
GDGBFGCHMLAMECI.ELFGEGCME.LOFDCDEBL$AJ2EB.BJFC2DB.HAOGH2LCKGKLOL.K.HC
EB.GHBEFNAIAGB2FMIGAGECKGHGFGKAFAD.C.L.BHEFDJ2BMG.KOFBKAGADOHFGNCO2CH
2DFOIKAKCILAMLJKGCDHGCME2DGNOGAD2AF.MGM2BFBDIA2DKGBFODEHKGBAKJFNMAJCN
LIJO.CEI.MEHM.FLHINEIGHEKJCB2CLAIGELCKFKA2ELBILIOHJMNF2JHCDOCGMHBFHNF
LEJKGAELNEKLBEAN$CKOCEJD2CBMGFLKGOLIF.IFKGODAEIBLJNGLCMEMIEGKA.NMBDG
2KCBEDAN.KGAEMNLB2O2FDNF.DEBHJNMBOHA2IAOL.2EKE2FHIB.HE.DLHCGODMNFEGL
2AOHJLJEKALE2O.MHAIH.EGMDCKH.2BNM.JBNGFMJGDCJNEKDFGACBOHON2CLIAFELKCK
FJHDBMHLBCI.IAJHC.NBFJDCONELFJKI2NFAG2BGE.IKBL2FNDHF.CFBDLNKCJCKBMJM$
3M.OFOKDKFABHAOJKBEHNGFOJAICFG.EANKGECNFKDBCO2GEOKHIM2GLGBIANDIEAEMCO
NMEGCNMNJBKEMIDGJBDJ2BJOL.IJLKGMLF2ECM.B3LCA2EONCGHC2LDIED2GJELKDBJM
2GICI.HGIDLAOICFOBAJ2AOFCOLNELFDELGFGABMFKGFC2IADEKAE.ECJCBFDLDHOJF.K
EK2IOBCEHEJENM.JFIBH.IKC.NAOGCMBEHMCG.MCANOJDGND$BGADC.ELMJBOJNLDAMDC
FK.BCHGNLMBMHIJGEINAN3IG3OAHFJNOFDFDGLJF2H.D.JBKEODKOHB.JLAFDI.N.OEMK
O.AMALIBE.CIJIJGHKODIFNHBKNOCFNKB.MALDHICGBNMJ2MEDAF.KEHFMKEHA2LCIBGF
DKGN2KGMNJI2KNLAOMFI2CJBGJHLHICDAIJ2.ILH2.OGMBCGKBLNFJFG.FIMJAMD2GLFG
JHDCLJGENMCL2.GAHDLIL.BJNOM$2EMKB.H.NHCHNHMOHLAI2KCKGCIJAGDMCOLK.CIAC
3J.KGOHJKIJ2BFB.MCHIMKA2.DMLNH2EMJCDFNOJALC2EINCKMCEJGAMLAFNKLBGBHLFB
.DHDGJM.I.JBGJO.IAIKBEKFN2MJE.KIBFLNAOJLBIOFBNCDCABGEDNHFONBA.ML2ILBO
DMBJKHJNAN.MJEOHICM2GNOLNMKAIJAJG2.MAHILECO2IHAKLMBJLOCIJ.LBICBHEMEBO
MHOGJOB$F.CNOBI.KOIHA.FJ.BLBJGBIKEIGFNAIJOFAHME4GNAKC.MNK2ABLGDFGIM.G
LIAFDFMJOJNML2DNCFLIMAHJL.GFGFDFLJAIJIGBGDH2FEAGKGKIOCGEAIGIEKE2GNEAC
BCFALBG.KONIBGICLBHGBF2HBODBJ.HCKNCKOK.OLMGFAKBC2.BFDMICBFJIJACLBJIJB
ILFOAICBLGICNE.MCKL.OIBA2DAOLKMNCOMFBLKLKFADJBOCLJIMGAL$GCDGLOLHD3IEO
J.JHEHEJ.FCGH.KMIMN.JA.ADMLKC.JKCMANHJCHG.N.FGK2FEJO2EOHLADBCIFJFEIEK
DK.BANANG2JBKIMNHNJADO2ELGJEDB.GDIENEBOBFEHI.MEK2OC2.IHF.GHF.C.MGENK
2.JBMI.IMA2LADFKEBKFOCJADICIMIGL.FCFENICBEHIELGELCKGACHO2GBCDLNDJE2CF
MNKIO2GBE.DGK.2ONOM2GD2LAH2LIBGKMNGF$LFD.K.BAMACDKAK3JOE2N2MODIMCMOBA
OKGIJIMEO.JOCJOFED.DMDM.INHDEM.GFNAJ2F2EHOKLANMIOLMDGNBIMCFA2.NOMKEDN
IOFIB2DJOEGBAOMB2NLJODLAGN.CM.OEF2E2H.H.D.JAJGN3HDGFMCNDMICEI.N.N2IFL
FMJMDN2HBJ2ABDENEAMBLDBNIDAF2MAEJMOGKG2EDJBEL2BEO3IFJKGMDA2DBEHBAC.N
2FBMAGCAJANJIBI!
Last edited by PHPBB12345 on January 18th, 2020, 11:11 pm, edited 1 time in total.

bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 14th, 2019, 7:25 am

PHPBB12345 wrote:
October 14th, 2019, 12:30 am
Lattice gas behavior

Code: Select all

x = 8, y = 8, rule = 2PCA4,0,4,8,12,1,10,9,13,2,6,5,14,3,7,11,15:T100
8O$8O$8O$8O$8O$8O$8O$8O!
Brian Prentice


bprentice
Posts: 719
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Partitioned Cellular Automata

Post by bprentice » October 15th, 2019, 9:52 pm

Run forward and backward.

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,4,2,11,9,1,6,13,10,12,7,8,3,14,5,15
J!
Brian Prentice

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Partitioned Cellular Automata

Post by muzik » October 18th, 2019, 5:41 am

Is there such thing as a hexagonal PCA, given that k{6,3} = {3,6}?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

User avatar
Gustone
Posts: 624
Joined: March 6th, 2019, 2:26 am

Re: Partitioned Cellular Automata

Post by Gustone » October 20th, 2019, 9:15 am

bprentice wrote:
October 15th, 2019, 9:52 pm
Run forward and backward.

Code: Select all

x = 1, y = 1, rule = 2PCA4,0,4,2,11,9,1,6,13,10,12,7,8,3,14,5,15
J!
Brian Prentice
colo
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

AforAmpere
Posts: 1147
Joined: July 1st, 2016, 3:58 pm

Re: Partitioned Cellular Automata

Post by AforAmpere » October 20th, 2019, 12:57 pm

Gustone wrote:
October 20th, 2019, 9:15 am
colo
Can you please not do one word replies to posts, especially when said word isn't even spelled properly?
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

Post Reply