Update on Think DSP, and an explanation of the missing fundamental effect

Last week I posted blog article on Chapter 4 of Think DSP, which is about
noise:

http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html

The article includes this notebook, where I present the missing fundamental
effect, where we hear a low pitch even if the signal contains no power at
that frequency:

http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone.ipynb

This week I posted Chapter 5, which is about autocorrelation

http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-5-autocorrelation.html

The article includes this notebook, which uses autocorrelation to crack the
case of the missing fundamental:

http://nbviewer.ipython.org/github/AllenDowney/ThinkDSP/blob/master/code/saxophone2.ipynb

As always, comments from Comp.DSP are welcome (but let's try not to get
bogged down on the plural of spectrum :)	 

_____________________________		
Posted through www.DSPRelated.com

This effect is the basis for bass extension algorithms where you create harmonics to get fake bass from small speakers. But my experience is that it doesn't work so well. What happens when the input signal is not a solo instrument with a periodic waveform? Then it just makes a mess of things. Commercial bass-boost algorithms combine harmonic generation with old-fashioned dynamic bass boost to handle the non-harmonic cases like a kick drum. But they don't mention this in their advertising. 

Regarding the mechanism for how the ear perceives the missing fundamental, I don't believe that there is any explicit autocorrelation mechanism. A more likely explanation is the modulation of the envelope of the signal which will occur at the fundamental frequency even if the fundamental is not present. 

Bob 

On Wed, 21 Jan 2015 09:52:00 -0800, radams2000 wrote:

> This effect is the basis for bass extension algorithms where you create
> harmonics to get fake bass from small speakers. But my experience is
> that it doesn't work so well. What happens when the input signal is not
> a solo instrument with a periodic waveform? Then it just makes a mess of
> things. Commercial bass-boost algorithms combine harmonic generation
> with old-fashioned dynamic bass boost to handle the non-harmonic cases
> like a kick drum. But they don't mention this in their advertising.
> 
> Regarding the mechanism for how the ear perceives the missing
> fundamental, I don't believe that there is any explicit autocorrelation
> mechanism. A more likely explanation is the modulation of the envelope
> of the signal which will occur at the fundamental frequency even if the
> fundamental is not present.
> 
> Bob

Not an autocorrelation function as such, since the ears sense sound in a 
sort of combination frequency/time manner (oooh! Wavelets!).

The ear senses sound with something like a massive bank of filters ("hair 
cells", which are embedded in the cochlea, which has a definite frequency/
distance dependence).  If you grow up in an environment where sounds tend 
to have lots of overtones, your brain will naturally tend to correlate f, 
2f, 3f, etc.

-- 

Tim Wescott
Wescott Design Services
http://www.wescottdesign.com

Tim Wescott <seemywebsite@myfooter.really> wrote:
> On Wed, 21 Jan 2015 09:52:00 -0800, radams2000 wrote:
 
>> This effect is the basis for bass extension algorithms where you create
>> harmonics to get fake bass from small speakers. But my experience is
>> that it doesn't work so well. 

(snip)
> Not an autocorrelation function as such, since the ears sense sound in a 
> sort of combination frequency/time manner (oooh! Wavelets!).
 
> The ear senses sound with something like a massive bank of filters ("hair 
> cells", which are embedded in the cochlea, which has a definite frequency/
> distance dependence).  If you grow up in an environment where sounds tend 
> to have lots of overtones, your brain will naturally tend to correlate f, 
> 2f, 3f, etc.


Some years ago I had a book that included a floppy-ROM (also known
as an analog audio recording) with stretched octaves.

They made musical sounds that used 2.1x instead of 2x for an octave,
and of course they sounded very non-musical.

The experiment they didn't do (for a good reason) was to raise 
babies so that they only heard stretched octaves. The neural connections
would form differently.

Similarly, as far as I know they way our brains learn to figure
out color vision is through the correlations in the signals 
coming in. If babies were raised in a colorless environment, they
might not learn how to decode colors. 

It might be that the feeling each of us feels when we see a color
depends on how the wiring was done when we were young.  That is, on
the first colors that we saw, and how we saw them.  But again, an
experiment not likely to be done.

-- glen
 

On Wed, 21 Jan 2015 19:33:56 +0000, glen herrmannsfeldt wrote:

> Tim Wescott <seemywebsite@myfooter.really> wrote:
>> On Wed, 21 Jan 2015 09:52:00 -0800, radams2000 wrote:
>  
>>> This effect is the basis for bass extension algorithms where you
>>> create harmonics to get fake bass from small speakers. But my
>>> experience is that it doesn't work so well.
> 
> (snip)
>> Not an autocorrelation function as such, since the ears sense sound in
>> a sort of combination frequency/time manner (oooh! Wavelets!).
>  
>> The ear senses sound with something like a massive bank of filters
>> ("hair cells", which are embedded in the cochlea, which has a definite
>> frequency/
>> distance dependence).  If you grow up in an environment where sounds
>> tend to have lots of overtones, your brain will naturally tend to
>> correlate f, 2f, 3f, etc.
> 
> 
> Some years ago I had a book that included a floppy-ROM (also known as an
> analog audio recording) with stretched octaves.
> 
> They made musical sounds that used 2.1x instead of 2x for an octave, and
> of course they sounded very non-musical.
> 
> The experiment they didn't do (for a good reason) was to raise babies so
> that they only heard stretched octaves. The neural connections would
> form differently.
> 
> Similarly, as far as I know they way our brains learn to figure out
> color vision is through the correlations in the signals coming in. If
> babies were raised in a colorless environment, they might not learn how
> to decode colors.
> 
> It might be that the feeling each of us feels when we see a color
> depends on how the wiring was done when we were young.  That is, on the
> first colors that we saw, and how we saw them.  But again, an experiment
> not likely to be done.

Kittens raised in an environment that has no visible edges cannot, after a 
certain age, ever learn to see edges.  So it's similar.

You could maybe do the sound experiment with songbirds, then analyze what 
comes out when they grow up.  It'd be hard, though, since one hears the 
sounds one produces, and those have harmonically related overtones.

-- 

Tim Wescott
Wescott Design Services
http://www.wescottdesign.com

On 1/21/2015 8:29 AM, AllenDowney wrote:
> Last week I posted blog article on Chapter 4 of Think DSP, which is about
> noise:
>
> http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html
>

Allen:

Your opus rocks!!

I am learning and installing Python just so I can run your examples.

Congrats and thanks.

-Ramon

This is a multi-part message in MIME format.
--------------070103070707040001090005
Content-Type: text/plain; charset=windows-1252; format=flowed
Content-Transfer-Encoding: 7bit


Allen:

Please find attached a noise that is the bane of my existence, my 
"Ahab's Whale".

The sample includes the breath of the speaker (who *did* inhale), and it 
comes from here:

https://www.youtube.com/watch?v=Aju752l0tP4
(the noise starts at minute 1 and goes all the way to the end)

Feel free to add a chapter on how to remove it.   ;-)

TIA,

-Ramon




On 1/21/2015 8:29 AM, AllenDowney wrote:
> Last week I posted blog article on Chapter 4 of Think DSP, which is about
> noise:
>
> http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html
>

--------------070103070707040001090005
Content-Type: audio/wav;
 name="WhatKindOfNoiseIsThis.wav"
Content-Transfer-Encoding: base64
Content-Disposition: attachment;
 filename="WhatKindOfNoiseIsThis.wav"

UklGRqRIAgBXQVZFZm10IBAAAAABAAIARKwAABCxAgAEABAAZGF0YYBIAgDl//D/sv/R/6L/
yP+2/9T/5P/w/xoADwBGACkAZwA9AIMATwChAGAAvwByANAAfADMAHoAsQBpAIcAUQBaADYA
LAAbAP3////V/+f/vP/Y/7D/0v+i/8n/dv+u/yb/fv/R/kz/qf40/87+S/8z/4f/pP/K/+v/
8//u//b/v//a/4H/tf9X/5v/VP+b/3v/sf+3/9X/7f/z/////v/u//X/2//o/+z/9P8xABwA
hQBNAKMAYABRAC8Ai/+6/4X+H/+E/YT+uPwM/iv8uP3C+3r9Xvs+/fX6AP2Y+sj8VPqg/DL6
i/wW+nz86flh/Kz5PPyI+Sf8uvlF/Fz6pvxH+zH9Ivy0/av8BP7i/CT+BP06/k79Zf6t/Z/+
2/26/ov9i/6+/BH+uft1/dn68PxQ+p78Evp6/O/5ZvzJ+U/8k/ku/FL5CPwF+dr7svip+2T4
e/sz+F37JvhV+zb4X/tK+Gv7XPh2+3H4gvuV+Jf7xfiz+/T4z/sW+eT7Mfn0+1H5Bvxz+Rv8
h/km/Ir5KPyL+Sn8oPk1/ML5SvzE+Uv8d/kc/OT4xPtd+HT7Tfhq+9T4u/un+Tn8RPqV/Ev6
mvzO+U/8M/nz+934wPvl+MX7G/nm+zr5+Psf+ej71Pi7+3z4iPs3+F77G/hO+zj4X/uG+I37
7PjK+zz5+vtZ+Qz8R/kB/Cv58fsv+fL7VvkK/If5KPyj+Tj8nPk0/Hr5IPxQ+Qf8J/nt+/z4
1vvV+L/7tfit+6L4oPuS+Jb7gPiM+3H4hPtz+IX7jviU+7n4rvvh+MX79vjS+/v41fsE+dv7
HPnp+zn5+ftL+QT8S/kE/EH5/vs5+fr7Pvn7+075Bfxs+Rf8mvkz/Nj5WPwO+nf8IPqA/AD6
bvzH+Uz8q/k6/NH5Ufw5+o/8rPrV/PH6/Pzn+vf8pvrQ/F36pPwv+on8JfqD/DT6jPxJ+pj8
YPqm/HP6sfx/+rj8evq1/Gf6qvxc+qT8dfqz/Lj62/wR+xD9Uvs3/Vv7O/0v+yL9+PoB/d76
8vz0+gD9Lvsi/Wr7R/2P+1z9l/th/Yz7XP2B+1X9g/tW/Zj7Y/3A+3r99PuZ/SX8tv1G/Mv9
UPzQ/UT8yf0r/Lv9IPy1/UH8yP2l/AT+Sf1l/gD+0f58/hz/hf4g/xb+3/5z/X7++Pw0/tz8
JP4R/UP+Vv1r/nH9ev5d/XD+Pf1b/jP9Vv5D/WD+Wf1s/mP9c/5q/Xf+gP2E/q/9oP7k/b7+
B/7S/hH+2f4Q/tj+Gf7d/jL+6v5O/vz+Zv4K/3b+FP+F/h3/k/4l/5P+JP98/hb/UP79/iT+
4/4P/tb+G/7e/jz+8v5i/gj/gv4c/5/+LP/B/kD/7P5b/x//eP9G/5D/U/+Y/0f/kv8s/4L/
Fv91/xb/df8m/37/L/+E/xj/dv/e/lT/mv4t/3T+Fv9//h3/tP48//L+Yv8f/33/Nv+J/zn/
jf8x/4f/Gf95//T+Y//N/kv/uP4//7P+Pf+g/jH/YP4L//X9zP6Y/ZP+lP2R/gj+1v7V/k//
pf/L/zYAIQBoAD8ASwAtAPn//f+E/7f/Af9o/4r+Iv83/vD+C/7W/vH9x/7S/bP+r/2f/qT9
l/6//af+9v3J/h3+3/4d/t7+Bf7R/v39zP4Z/tv+RP71/lr+A/9L/vr+Kv7l/hH+2P4M/tX+
D/7V/gz+1f4O/tX+Iv7i/kb++P5g/gf/Yv4I/1T+Af9S/v/+ZP4K/3H+Ev9h/gn/R/76/lv+
Bv/L/kj/d/+v//3///8JAAYAkv/A/+3+X/9s/hL/Kf7q/v/90v7E/a/+ff2F/lf9bP5n/Xf+
m/2W/sb9r/7X/br+5v3C/hT+3f5d/gn/n/4w/7T+PP+Z/i3/bP4T/0X++/4o/un+GP7g/hz+
4f41/vD+VP4C/1P+Av8f/uL+zv2y/p79lf6s/Z7+2/26/ur9wv63/aT+Z/10/kD9XP5d/W3+
lv2P/q79nf6g/ZX+sv2f/i/+6f4Q/2//8f/1/2UAOwBNACsA4P/r/3b/q/85/4f/F/9z//L+
Xf/F/kP/nf4r/3v+F/9Q/v7+DP7W/sr9r/64/aT+5P2+/i/+6v5a/gT/Rf74/gj+1f7U/bb+
w/2s/sn9r/7R/bT+1f23/uT9wP4B/tL+HP7i/iP+5f4b/uD+Gf7g/i7+7f5D/vn+OP7z/gr+
2P7f/b7+3P28/gD+0v4e/uP+Df7a/uH9v/7X/bn+J/7p/sz+Sv+L/7z/KwAbAKcAZAAdAawA
oQH5AB4CQwFvAnMBjAKEAZ8CjwHaArMBQQPwAaQDKgKyAzMCQgPwAWsCbwFtAdkAkABVAAAA
///B/9n/uv/V/8j/3v/J/97/rv/O/4H/s/9d/53/U/+Y/1//nv9n/6P/Wf+a/zj/h/8Z/3X/
C/9t/wn/a/8A/2X/7v5b/+3+W/8j/3v/mf/C/zMAHQC7AG4ACAGcABkBpwAOAaAA/wCXAPkA
lADvAI4A2gCBAL0AcQCiAGEAjwBVAHsASQBdADkANQAgAAgABQDc/+z/t//W/5z/xv+S/7//
nf/H/7b/1f/L/+P/x//g/6T/yv9z/6//Uv+a/0//mP9q/6n/lP/C/7//2//a/+v/2f/r/7H/
0/9i/6T/CP9u/8P+Rf+m/jT/of4x/4r+I/9J/vv+6v3D/pn9kv5w/Xr+af12/mH9cf5M/WT+
S/1k/pD9jP4z/u3+Cv9t/8b/3P8ZAA4A+P/6/4z/uf8Y/3b/0f5L/8P+Q//j/lT/EP9w/zD/
g/8v/4H/B/9r/8/+SP+l/jD/ov4u/8v+Rv8D/2j/NP+E/03/lP9d/53/ef+u/6v/zf/q//L/
GgAOACQAFAAEAAIAyf/f/4z/u/9f/6H/UP+X/1v/nv98/7H/qv/N/93/7P8PAAoAOQAjAFoA
NwBxAEUAiABSAKsAZwDjAIkAKAGxAGQB1gB5AeMAWQHQAAsBoQCtAGkAYwA+AEkALQBbADgA
hQBSAKsAZwC6AHAArwBpAJsAXQCSAFgApQBkANMAfwALAZ8AKwGzACABrADhAIUAfgBMACAA
EwDq//L/8f/3/y4AGwCCAEwAxAB0ANYAfgC2AGsAgABKAFsANABiADgAjABQALYAagC5AGsA
hABMAC8AGgDq//D/3P/n/wMA//86ACAAVAAwADgAHwDz//b/pv/I/2v/pf9G/5D/Lf+B/xH/
cf/0/l//1/5O/7z+Pv+Z/iv/cv4T/1P+Af9W/gL/h/4g/93+U/82/4j/cv+s/4f/uf+G/7r/
g/+4/4L/tv92/6//VP+c/yT/f//+/mn/8v5i//f+Zf/z/mP/1v5R/6H+Mf9t/hP/UP4D/0n+
/f5G/vz+Pv73/jz+9v5Z/gf/nv4v//X+Y/80/4n/QP+O/yP/ff8F/2z/F/92/2r/p//v//b/
jwBVADsBuwDlASABfwJ7AfQCwAEwA+QBPAPrAT8D7AFoAwQCxAM7AjgEfwKJBK4CkQS1AmEE
lwIjBHMCAwRgAvcDWQLLAz8CTwP1AXsCdgGAAeEArwBmAEAAIwArABgAOwAhADYAHwACAP//
tv/T/4H/s/+A/7T/p//L/9H/5P/j//D/6f/z/wgABQBcADcA2wCDAEUBwwBcAdAACAGfAG0A
QwDU/+f/b/+t/07/mv9X/5//Zv+n/2z/q/9q/6v/aP+p/2f/qP9p/6n/cf+u/4f/uv+r/9H/
0P/n/9r/7P+4/9j/dv+x/y//hf8F/2z/Bv9t/yT/fv8//47/P/+N/yH/e//3/mL/2f5R/87+
Sf/L/kj/w/5C/6T+MP9y/hL/Of7v/gL+z/7a/bb+xv2q/sb9qv7P/a/+2/23/t39t/7Y/bX+
2f21/uX9vf71/cb+/P3K/v/9zP4e/uD+if4e/0//lP9XADIAXwHPACwCSgGoApIB5AK2AfQC
wAHQAqwBZwJtAbgBBAHoAIoANQAgAMv/4f+s/8//u//Y/9T/6P/q//T/9v/8//L/+f/b/+3/
vf/b/6r/z/+8/9n/6//4/xoAEgAlABoADwAMAPD/+f/m//P/+v8AABQADgAUAA8A+////9v/
7P/E/9//vv/a/7z/2v+7/9n/wP/b/9H/5f/l//D/7f/0/+//9v8PAAkAfQBIAEsBwwBZAmMB
UgP2AeADTALcA0oCWQP8AZcChwHgARoBYwHPACcBrAAVAaIABQGYAN0AgACkAF4AewBGAH0A
RgCsAGIA5QCFAAABlgDvAIsAxgByAKUAYACfAFwAoABdAJQAVgByAEIASgAqADQAHQAzAB4A
NwAhAC0AHAAZABAADAAIABoAEAA/ACgAZAA9AHEARgBlAD4ATQAxAEAAKQBNADEAdQBJALQA
cAD1AJYAGgGsAA4BpQDLAH0AZQBBAP7/AwCx/9X/hv+8/3P/r/9s/6v/bf+r/3T/sP+C/7j/
mP/E/7n/1//u//f/NgAhAH8ASwCrAGYAqQBlAIgATwBuAEAAggBMAMgAdAAUAaIAMAGyAP8A
lQCbAFkAPAAgABEABgAnABQAYwA3AJUAVACcAFgAdwBCAEEAIwAeAA4AIAAOADwAHwBWAC8A
VgAvADgAHgAgABAARgAnANEAewDIAQ0B+QLDARsEcALwBO4CZAU0A48FTgOcBVYDpQVdA6QF
XAN3BUIDCAX/Ak4EkwJiAwYCawJ0AZIB8wD1AJYAmgBgAHoATQB2AEsAdwBLAHMASQByAEkA
fwBRAJoAYQCxAG4AqwBrAHoATQAtAB8A4//y/7v/2f/A/97/5v/z/xMADQAxAB8APgAmAEUA
KQBPAC8AWwA1AFkANABBACYAGgANAAcAAQAuABgAnABZADABsgDBAQcBMAJIAXgCcgGiAowB
sgKTAYwCfQEkAkEBjwHnAAEBkwCtAGEAnwBZAK4AYgCqAF8AeABDACgAEwDO/97/d/+r/yb/
ev/e/lH/u/48/8r+Rv8B/2j/Ov+L/07/l/87/4z/IP98/yD/ff9C/5L/df+x/6T/zf/E/+D/
1//s/9r/7v/Q/+n/v//f/8D/4P/j//X/HgAZAFQAOAB0AEsAnwBlAA0BpgDYAR4B0AKzAZgD
KALfA1ICpwMwAjID6gHPAq4BmwKPAXwCfQFVAmUBHAJDAeUBIAHDAQsBtAEDAa4B/gCvAf4A
uQEDAcQBCgG/AQYBmAHtAFgBxwAfAaUACwGYAB4BowA9AbYAUAHBAFIBwgBIAbwAMgGvAAwB
mQDaAHsAuABoAMoAcgAQAZwAZQHPAJQB6wCGAeMAVgHIADEBswAnAa0AJQGsABQBpAD7AJUA
9QCSABQBpAA/Ab8ATwHKADcBuwAQAaUACQGiADMBvAB2AeQArAEEAcIBEQHGARUBzwEaAdcB
HgHEARMBggHtABwBsACvAG4AVwA7ACIAGwAPAA8AHQAXAFIANQCqAGoAGgGsAIsB7wDoASYB
HgJFASYCSQEEAjQBxgEPAYIB5QBFAcEADwGfANIAewCMAFAAVgAvAFEAKwCNAE4A7QCHAEEB
uQBlAc4AZAHNAGcBzwCJAeMAvQEBAdsBFAHJAQkBlQHqAGoB0QBpAdAAjAHmALEB/AC4AQEB
nAHxAHEB1wBRAcQARAG9AD8BuwAvAbMACwGeANsAggC3AG4AtgBuAOUAiwAzAboAhwHtAMoB
EwH0AS4BGAJEAUYCYAF4An4BlwKRAYUChwE8AlsB1QEeAXoB6ABMAc0AVAHSAH4B6gCzAQoB
6AEoARUCQwE5AlgBSAJfAToCVwESAkAB8AEqAQACMwFgAmsBFQPWAf4DYALqBOsCtgVjA1YG
wQPQBgoENAdGBIsHeATTB6IEDQjEBDkI3QRVCO4EXQjyBFEI6wQ7CN8EKgjVBC4I1QRICOUE
cQj9BKAIGwXXCDsFFglgBVsJigWbCbEFwgnIBcYJywWwCb8FlAmvBXwJoQVkCZIFQAl+BQ0J
YAXPCD0FnQggBYYIEwWSCBwFtQgxBdwISAXwCFUF4ghMBboINQWMCBsFbggKBWsIBwV0CA0F
dQgOBWcIBwVaCP8EZAgEBYgIGQWvCDAFsAgxBXYIDQUNCM8EmQeKBD0HUgQABy4E1gYTBKsG
+QN8Bt0DTwbBAzEGrwMoBqoDLgarAzwGtANNBr4DWwbFA18GxgNaBsMDWAbCA2gGygOTBuQD
1AYKBBQHLwQ6B0YEOwdHBCEHNgT+BiIE5gYUBOQGEgT0BhwEBAcmBAMHJgTlBhQErAbyA2oG
zAM5Bq8DLgapA0wGuwOEBt4DwwYEBPYGIwQQBzIEDAcxBOsGHQSxBv0DdAbZA0QGvAMrBq8D
KQauAy8GsgMwBrMDKQavAyAGqgMbBqcDGAamAw8GoQP2BZID0wV8A7AFaAOcBVsDkwVWA4YF
TgNiBTgDIgUSA9oE6AKgBMUCigS2ApkEvgK2BNACyATZAsUE1wK1BM0CrATHArUEzALLBNcC
2QTgAtME3ALABNACsgTIArUEyALMBNUC6QTmAvkE8AL1BO0C4wTiAsoE1AKvBMMClASzAnkE
ogJdBJMCRwSGAjkEfgIsBHYCGwRtAgwEZAL/A10C+QNZAvcDWgL2A1gC8ANVAugDUgLoA1MC
7wNXAvgDXQL9A2AC8wNaAtsDTgK8AzoCmAMmAnUDEQJMA/kBHgPfAfECxQHLAq0BswKgAagC
mQGdApMBigKIAW4CdwFKAmEBKwJPARUCQQEBAjYB6wEoAdQBGgHIARIB0wEYAfQBLAEhAkcB
TgJgAXECdAGRAoYBsAKZAcgCpwHKAqcBowKQAVcCYgH2ASgBmQHwAFEBxQAgAagAAQGVAO8A
igDmAIUA5QCEAOkAhgDtAIkA8wCMAAIBlQAfAaYAQwG8AF4BzABiAc8ATAHDAC8BsQAhAakA
LgGxAFABxgB0AdsAjQHsAJsB9ACoAfsAuAEGAcEBCwG3AQYBlwH0AHUB4ABiAdQAYQHVAGQB
1wBeAdIAVAHOAGcB2QCtAQIBGAJBAXcCewGdApIBhgKFAVYCaAE8AlgBQgJbAVUCZgFSAmQB
MAJQAf8BMgHRARcBqgEAAYEB5gBUAcsALQG0ABsBqQAbAagAHQGpABEBoQD4AJIA3QCCAMgA
dQCuAGUAiQBPAGYAOwBgADYAgwBLALcAagDMAHcAkQBTAAYAAQBN/5P/jP4g/9f9tP4y/VL+
ovz9/Tj8vv0A/J395vuN/cb7e/2J+1f9NPsl/e/6+/zN+uj8wPrh/KX60fx2+rX8Ufqg/HL6
s/zs+vz8nvtl/UL8x/2v/Ar+8fww/i79VP5+/YT+1/26/iT+5/5X/gb/gf4g/7P+Pf/b/lT/
zv5L/3P+Fv/X/br+Lf1V/qf8Bf5V/NP9JPy2/f/7oP3d+439yfuA/cn7f/3S+4X91vuG/cr7
gP26+3X9r/tv/bH7cP27+3f90fuD/f/7nf1a/NL95/wm/pb9j/5C/vX+w/5B/wb/af8Y/3P/
Dv9u//v+Yv/i/lT/r/42/03+/P65/aT+B/05/lz81P3X+4b9g/tT/VT7OP09+yv9Pvsq/Vj7
O/2G+1f9s/ty/cL7e/2p+239d/tO/UP7MP0c+xn98voB/bX62/xi+qr8D/p5/Nf5V/zB+Ur8
v/lK/Lv5Rvyu+T/8pPk4/Kf5O/yz+UH8vflH/Lz5SPy8+Ub8yPlN/OL5XPz2+Wj87/lk/Mn5
TfyZ+TH8d/kd/Gz5Fvxx+Rn8ePkd/Hz5H/yE+SX8kvkt/KD5Nvyi+Tf8lfkv/ID5I/xw+Rn8
YvkR/FT5B/xC+f77N/n3+0D5/Ptf+RD8ifko/Kz5PPzG+Uv81/lV/OL5Xfzk+V780vlT/Kn5
O/xy+Rj8Ovn4+w/53/v2+ND79fjP+wv53Pst+fH7TfkE/F75D/xn+RT8efkf/KP5N/zU+Vf8
6vli/Mz5UfyS+S78dvke/KT5OfwX+n78kvrI/Nf68fzU+u78ovrQ/Gj6rfww+oz88fln/Kz5
Pfx4+R/8evkf/Kn5OvzY+Vb80flS/Ib5Jfwj+en75fjF++z4yfsk+en7WfkJ/Gn5E/xV+Qf8
O/n3+y/58PtA+fr7ZPkP/JD5Kfyz+T78v/lG/LX5Qfym+Tj8qPk6/Mf5TPzx+Wf8/vlv/NL5
VfyB+Sb8Qfn/+0T5AfyP+S789Plr/D36lvxW+qT8W/qn/HH6tfyb+s78svrc/JT6yfxD+pj8
9vlq/PD5Zvw9+pT8tfrb/BD7EP0i+xr98Pr9/Kr60/x4+rX8cPqw/I/6wvzD+uD8+PoB/R77
GP0m+xz9EPsO/e/6/Pzd+vH85fr2/Pr6A/0I+wv9//oG/ef6+PzW+u781frt/N368vzl+vb8
5vr4/OH69PzY+u78yPrm/K361fyL+sD8dPqz/HL6sfyC+rn8lfrF/KX6z/y5+tr82Prs/AL7
Bf0i+xj9IfsY/Qf7CP31+v78DvsN/Vr7Ov28+3X9Bvyi/ST8s/0n/Lb9Lvy7/Ur8zf11/Of9
l/z8/aj8Bv62/A/+1Pwi/gf9QP5A/WL+ZP14/nH9gP52/YT+hf2L/qH9nP68/az+yP2z/sT9
sf7B/a7+yf2y/uD9vv7+/c/+IP7j/kL+9f5k/gr/f/4Y/5D+If+u/jP/BP9l/6r/yP+NAE8A
ZAHOAN4BFQHWARIBbAHSAOIAgQBxAD0AJwASAPH/8v/A/9X/kf+7/2z/pf9R/5b/N/+H/xv/
d/8H/23/Cv9v/yH/fP86/43/SP+V/0r/l/9V/57/fP+0/7r/2v/3//7/FgAQAA0ACgDh/+//
p//N/27/q/8+/43/EP9y/9z+Uv+f/i3/X/4H/zT+7f4p/uf+N/7v/kT+9v48/vP+Mv7s/kr+
/P6i/jH/J/+A/5f/w/+2/9f/e/+z/xD/df+x/j3/dv4a/1z+C/9Q/gT/Uv4F/2v+FP+U/iz/
sP49/6v+Of+G/iL/X/4L/0n+/v48/vX+G/7f/tz9uf6Y/ZD+cP13/m/9df57/Xr+d/13/mj9
bv5t/XH+nP2L/uH9tP4W/tP+JP7b/hv+1f4X/tT+IP7b/iP+3P4G/s3+0v2v/qb9l/6c/ZL+
pv2Z/q/9oP6z/aP+xf2x/gH+0/5Q/gX/hv4n/4T+Jv9b/g7/Pf79/k7+Bv93/h//iv4q/3T+
Hf9P/gf/TP4D/3j+Hf+w/j7/yf5M/7r+Qf+o/jT/s/47/+H+Vf8N/27/GP9z/wr/a/8G/2j/
H/92/0v/j/9w/6X/gP+v/4X/s/+Y/7//tv/R/8n/3P/D/9r/q//N/5j/w/+c/8X/qv/O/6//
0v+i/8n/hf+6/2v/qv9X/5//RP+T/zP/if88/47/gv+3/x4AEwAFAZsABgIzAeYCtgF6Aw4C
vwM1AtUDQgLsA04CKARxAo4ErQICBfICVAUjA1MFIgPzBOgCSASEAoMDEALTAqgBUQJbAfsB
KQG+AQgBjQHsAF4B0gA4AbwAJAGxACQBtAAvAbwANgHCACcBuQD8AKEAwQCAAIcAXQBVAEAA
KQAmAPX/BQCv/9v/Y/+v/yX/h/8B/3H/8v5m/+j+X//a/lX/0f5O/9r+Uf/8/mP/Kv99/1T/
k/9x/6P/j/+0/7j/y//t/+v/HwAJAEQAHQBYACkAagA1AIEAQgCOAEsAfgBEAFAAKAAQAAMA
2P/j/7b/0f+i/8f/kf++/4P/tv+H/7v/rf/S/+z/+P8rAB4AWAA5AHEASACGAFUAnABhAKQA
ZgCQAFkAYgA8ACwAHAAJAAYA+v/9/+3/9P/Y/+f/xv/a/8j/2//j/+v////6/wEA+//y//T/
AAD8/1wAMwAKAZsAywEPAUoCXAFVAmQB+QEuAXIB3wD8AJsArQBtAHoAUABUADoANQApAB4A
HAARABUABQAOAO7/AQDO/+3/rP/Y/5L/yP99/7n/Zv+r/0j/l/8g/3///f5n/+b+WP/j/lT/
8f5Z/wP/Y/8H/2T/9f5X/9X+Qv+2/i//qP4m/6r+J/+w/ir/pv4k/4j+E/9i/v3+Pf7o/h/+
2P4F/sr+8P3A/ur9vv78/cn+Gf7e/i3+7P4l/un+Cf7a/vH9zv74/dP+H/7r/kn+Bv9Z/g//
Q/4C/xT+6P7p/c3+0v2//tj9wf71/dH+Hf7p/kT+//5Z/gj/Vv4G/0r+/f5E/vj+T/7+/mD+
B/9k/gf/V/7+/kr+9v5X/v7+gP4V/6X+LP+q/i//if4c/2D+BP9V/v7+Zf4K/2/+EP9R/v/+
Ff7c/uX9wv7v/cn+K/7s/mf+Ef9z/hn/Tv4E/yL+6v4j/un+Xv4M/7P+P//5/mf/Gv96/xr/
ef8O/3D/Av9o//X+X//n/lT/2v5M/8j+QP+x/jL/mP4h/43+Gv+j/if/4P5K/yn/dv9Q/43/
N/+A/+b+UP+H/hj/SP7z/jr+7f5H/vj+Vv4B/1T+Av9J/v7+Rv7+/k7+Bf9d/g//Z/4X/23+
HP95/iP/jf4x/6r+Q//G/lL/2P5d/+H+Yv/h/mH/2v5c/83+U/+9/kj/wv5I//j+Z/91/6//
NgAgABoBpQD1ASYBtAKUAVoD9gH8A1YCmgSyAhgF/AJLBRoDFgX7AokEpwLLAzUCCQPEAVsC
XAHFAQUBRAG6ANwAfQCVAFQAaQA7AEYAKQAfABQA+v/+/+f/9f/v//v/CQALABMAEgDy////
r//X/2P/qv8t/4r/E/94/wH/b//k/l3/vP5D/53+L/+Z/iz/s/46/9z+Uf/8/mT/Ev9v/yn/
fP9R/5L/jP+1/8v/2//4//b/DQACABQABwAeAA4AMgAaAEoAKgBaADQAVwA0AEcAKwAzACEA
HQAVAAcACAD2/wAA8v///wYADAAtACQAUwA6AGAAQgBLADYAIwAdAP7/BgDo//n/4f/y/93/
7//Z/+r/2v/q//L/9v8vABgAnQBYAD4BtwD8ASYBpgKJAfsCuwHbAqcBWgJbAcAB/gBXAcAA
MwGrACYBowD8AIwArABdAHAAPACQAFAAKQGsAAECLwHIAqcBPwPxAWQDCAJXAwMCMgPuAfIC
yQGXApUBMQJZAdsBJwGmAQcBgwHzAF4B3QAsAb8ABAGmAPkAngAEAaQADAGmAPkAmADQAIAA
sgBrALIAaQDDAHEAxwBzALMAZQCZAFUAlwBSALIAYQDSAHQA3QB6AMwAcAC4AGQAsABhAK8A
YQCdAFYAdABAAE4AKgBHACcAXAA1AGQAOwA2ACEA3v/t/5f/xv+p/8//FgARAKEAZQD1AJcA
6gCQAJcAXwBCACwAGgATAB8AFQA0ACEAPgAmADgAIQAoABcAFQAKAPb/9f/P/97/s//N/7b/
z//e/+X/GQAIAEkAJgBeADIAXgAzAF0AMwBiADYAZwA6AFoANQA1AB8AAAACANL/6f+5/9r/
tP/Z/7j/3P+6/9//t//d/7T/3f+7/+L/y//r/9v/9f/j//n/3v/3/93/9P/t//3/FgATAE8A
MwB+AE4AkgBYAIwAUgCDAEsAjQBPAKsAYADMAHEA3AB5ANQAcwC/AGYAsABcAKwAWQCsAFgA
owBUAJMASwCGAEQAiABGAJcAUACsAF0AvQBpAMwAdADgAIIA/ACUABoBqQAzAboAQgHDAEwB
ywBVAdIAXgHYAGIB2wBaAdgASAHNADMBwQAqAboAMQG/AE4B0AB8AeoArAEHAdIBGwHhASMB
3AEeAdsBHgEEAjUBdAJ2AS0D4wENBGcC3AThAmsFNgOvBV0DxgVqA+AFegMfBqADdwbUA7IG
+AOWBugDBgaTAyQFDgMzBH8CcwMOAvkCxgGvApoBagJyARUCPwGzAQYBWgHQABgBqQDsAI4A
0AB9AMAAcwDBAHQA0QB8AOUAhwDxAI0A8QCNAPIAjAAGAZYAMQGwAGwB0QCjAfEAyAEHAdsB
EgHdARMB0wEMAcEBAgGuAfcApwH0ALgB/wDaARQB9wEmAfoBKgHjAR0BwgELAasBAQGuAQQB
vwEQAcsBGQHGARcBtgEOAaEBBAGYAf8AmwEBAaMBBwGoAQoBpgEJAZoBAgGNAfoAkQH7AKkB
BwHRAR0B9QEyAQECNwHzAS0B2AEbAcgBDgHNARAB4QEaAesBHwHkARgBzgEJAbcB+gCqAfIA
ogHtAJgB5wCKAd8AhQHbAJEB4wCqAfIAuAH7AKwB9QCPAeQAhwHhAMUBCAFkAmgBUwP3AVkE
lAIwBRUDoAVaA5gFVQMsBRcDjAS3Au0DWQJyAxECIQPiAeYCvgGpApoBYAJtARUCQAHcAR0B
vwEMAb0BCgHEAQ0BxQENAbkBBgGmAfoAkQHtAIAB4gB0Ad0AcQHaAHIB2wB3Ad8AgQHkAI4B
7gCjAfoAvQENAdkBHAHlASYB2gEfAbcBDAGKAfIAYQHbAEMByAApAbkADQGpAPIAmQDkAJEA
7wCXABUBrQBAAcUAWAHSAEwByAAgAawA6ACJAL8AbwC4AGkAzgBzAO8AhQANAZUAHwGeACsB
pAA4AawATAG1AFwBvgBcAb8ARgGxACMBnQD/AIkA4QB4AMcAaQCxAF8ArQBeANEAdgAlAasA
jgHrANwBHAHdAR8BkwH1ACsBuQDeAI4AxQCAAMcAgwC4AHsAiQBfAFkARABVAEEAkgBlAPYA
nwBKAdIAcwHoAHkB6gCAAe0AnAH8ALgBCwGzAQcBfwHkADIBtQD5AJIA8ACMAAsBmwAnAaoA
KQGrABgBnwAQAZsALAGrAGcB0ACtAfoA4gEaAfkBKQH2ASgB5gEfAdEBFAHCAQwBwAEKAdAB
FQH3ASwBJgJJAU8CYQFlAm0BbgJyAXkCeAGSAoYBuAKbAdECqQHKAqMBoQKJAWoCZwFMAlUB
XAJdAZMCfAHVAqIBAgO9AQ0DwwEBA7sB8AKxAeMCqgHeAqkB2QKnAdYCpwHcAqwB7wK5AQQD
yAEKA84B6wK+AacCmAFOAmYB+gE2AbgBEQGSAfwAgwH1AIIB9QB+AfIAbAHpAEQB0QASAbIA
7wCcAPQAngAmAbkAbwHkALEBCgHfASEB9wEsAQoCNQEeAj4BLwJGATgCSgFAAksBVwJWAX8C
bwGxAosB0gKdAdYCngHHApYBuAKMAbECiQGtAocBoQKBAZcCfAGhAoQBygKcAfoCuwELA8cB
5wKzAaYCjAF6AnQBhAJ8AbkCnAHnArgB6QK5Ab4CnwGLAoABaQJsAVcCYAFAAlMBIQI/ARAC
NAEkAj4BVwJbAYICdQGAAnIBVQJYASoCPgEpAj0BTwJTAXICaQFpAmQBLwJDAeUBGAGpAfYA
gAHfAFMBxgAWAaMA2ACAALMAbAC1AG4AxQB5AMoAfAC4AHMAqQBrALoAdADkAI0ADwGmACQB
sQAzAbkAbQHZAPsBKwHWAqsByQM6Ap8EtwJABRQDvQVbAywGnAOPBtMDzQb3A9sG+wO+BukD
mwbSA4kGyAONBskDjQbJA3QGuQNABpwDAgZ4A9cFYAPOBVsD6AVsAxcGigNDBqcDWwa2A1AG
sQMpBpsD+AV/A9EFagO/BWEDvgVhA8UFZgPNBWsD1wVxA98FdQPfBXUDywVqA6AFTgNoBS0D
OAUOAxoF/AIQBfUCDgXyAgoF7wIABekC+gTlAvsE5AL/BOcCAgXoAv4E5gL0BOAC5wTZAt0E
1ALZBNIC2gTUAtsE1QLbBNYC2QTUAtEE0QLCBMcCqAS5AoIEoQJTBIYCKgRsAg4EXAICBFMC
+QNMAt4DOwKpAxkCbgPzAUED1wE4A9ABUQPcAXkD8gGfAwcCvgMXAtgDJgLuAzEC9AMzAukD
LALXAyECzwMdAt8DJgL4AzYCBQQ+AvYDNwLXAycCvQMYArQDFQK4AxgCtwMbArADGAKtAxcC
sgMcArMDHwKkAxcCfQMAAlMD6AFGA+ABWwPsAX4DAgKRAwsChQMEAmcD8QFTA+MBUQPhAVcD
5AFcA+UBXQPlAWgD6wGAA/gBmQMGApoDBQKBA/UBXQPgAUwD1gFbA98BfAP0AZYDAgKTAwEC
dwPxAVAD2gEsA8YBEAO3Af4CrAH1AqcB8QKlAekCoQHQApEBngJzAVsCSwEeAiUB/gERAQkC
FQE2Ai8BbgJOAZoCaAGuAnIBsQJyAbkCdAHUAoIB+gKYARMDpgEDA5oBwQJzAWgCPgEfAhIB
+QH+APcB/QACAgUBDwINARwCFwEwAiQBPwIvATgCLgEQAhcB0AH0AJcB1AB6AcQAcgHCAGMB
ugA+AaUACAGGANgAaAC4AFYAqABMAJ4ARgCYAEEApABIAM0AXwAEAX4AMgGWAEYBoQBKAaMA
WAGpAHoBuwCdAdAApAHSAH8BvABCAZYACwF1AO0AYwDXAFcArQA/AGIAEgAHANz/u/+x/4//
mP96/43/av+G/1X/ef9D/3D/Pf9v/0P/c/9H/3T/Qv9z/zv/bv9C/3L/Wv+B/3//lf+c/6T/
qf+r/7D/r/+9/7P/zv+9/9X/v//D/7L/l/+Y/2P/eP84/13/Gv9K/wT/Pv/v/jD/3f4m/9j+
JP/c/in/4P4r/87+I/+n/g//fv74/nH+8/6Q/gj/zf4v/wz/Vv8t/23/LP9u/xb/ZP8D/1n/
BP9a/xz/a/9E/4P/bf+a/4v/rP+U/7H/if+q/3L/mv9W/4f/Ov92/yT/Z/8T/1v/BP9R//z+
Sv/9/kr/DP9Q/yX/Xv9B/27/WP97/2D/gf9b/37/Uf94/07/d/9Z/3//bv+N/3//mf+E/53/
eP+Z/2f/kv9d/43/YP+Q/2n/l/9w/53/c/+h/3j/pP+I/67/pP+//8n/1f/w/+z/FAABADoA
FwBgACwAhwBDAK0AWADTAG0A/ACFACcBnQBMAbIAXwG8AFsBugBGAa0AMQGhADIBoQBLAbEA
cQHJAI4B3QCaAeUAkwHiAIUB3QB9AdsAgwHhAI8B7ACdAfYAqQEBAbQBCAG+AREBzQEcAd8B
JwHzATUBCgJEASECUgE1Al4BRQJnAVACbQFXAnABWAJwAVICawFIAmMBQQJfAUsCYgFrAnUB
lgKNAbsCogHGAqcBtgKcAZ4CjgGQAoYBkgKIAY4ChQFiAm0B9wEvAVQBzwCWAF8A5//6/2r/
sf8n/4z/DP99//P+cP/E/lb/eP4q/yL++v7g/dP+vv3B/rP9u/6k/bP+gP2e/k39f/4b/WH+
9vxM/uL8QP7V/Df+y/ww/sb8Lf7D/Cr+s/wh/o78Cv5Y/Or9LvzR/ST8yv0n/M39E/zC/cb7
lf1U+1L9+/oe/fL6HP04+0f9j/t9/bT7lf2a+4f9bPtu/WL7av2L+4T9wfun/db7tv3E+6z9
pPub/aH7mf27+6n90fu3/cD7rf2K+4z9Uftr/Tr7Xf1M+2f9cvt8/Yr7i/2K+4n9ffuA/Xf7
fP2F+4P9nvuS/bL7nP2v+5z9mfuO/X37fv1r+3P9a/t0/Xv7ff2M+4r9mvuT/aT7m/2y+6T9
wvuv/c37uP3G+7b9sPuq/Zj7nf2O+5n9lPud/Zv7ov2O+5z9ZvuE/TH7Zv0G+0z97/o//ev6
Pf3l+jr92Poy/cP6Jv2z+hz9rvoZ/bn6H/3Q+iz96fo7/fv6Rv0A+0n98/pD/dT6Mf2v+hv9
kPoJ/YD6Af2C+gP9k/oO/an6HP26+ij9w/ov/cH6L/21+in9nvod/YP6Df1h+vv8O/rk/BH6
zPzj+bD8tPmW/Iz5fvx0+XD8b/lt/H/5dvyb+Yb8vvmc/Oz5tvwz+t/8pfoj/Uj7g/0G/PP9
ufxe/j/9rP6P/d3+w/37/vn9HP87/kP/dP5k/3b+Z/8n/jj/j/3e/tf8cf4s/A3+rfvC/Vn7
kf0d+2796PpQ/bX6Mv2J+hr9a/oJ/Vv6//xY+v/8YvoF/XT6EP2O+iD9qvox/bz6O/3E+kD9
x/pC/c76Rv3Z+k393vpQ/dL6Sv26+jv9p/ov/af6L/29+jz90vpJ/dX6S/3J+kT9zPpH/Qf7
af2G+7b9PPwi/gT9mP60/QL/NP5Q/3n+ef92/nf/J/5I/6D9+f4C/Zr+dvxI/hX8Dv7Z++r9
rvvR/Yv7vP1v+6v9Y/uk/Wb7pf1r+6j9Y/uj/VT7mv1R+5f9afuk/Zr7wf3T++P9/fv7/RL8
B/4U/An+C/wC/vn7+f3m++392fvk/dv75v3y+/X9FPwJ/iv8F/4x/Bz+KPwW/h78EP4j/BT+
M/wd/kH8Jv5F/Cj+RPwp/kv8Lf5f/Dn+evxK/pL8V/6h/GH+tPxr/tX8fv4F/Zv+Nv25/lP9
yv5T/cj+P/29/jP9tv5G/cD+e/3g/sX9DP8J/jT/L/5K/y3+SP8I/jH/0/0T/6r9+v6Y/e/+
mv3w/p398v6O/en+av3T/jz9uP4V/aD+9/yO/tv8f/6//G3+pfxe/pb8Vv6T/FP+lPxR/of8
S/5v/Dz+VPwr/j78Hf4k/A7+/vv3/dr73/3g++T9Rvwf/iH9oP5J/lH/eP8EAGoAkwAJAfIA
ZgEoAZYBRQGwAVMBvwFdAdkBbAENAooBUQKzAYACzwFmAr8B8QF6AUEBEQGIAKMA7v9HAHL/
/v8C/7v/mf58/z3+Rv///SL/2f0J/7r99/6b/eX+j/3d/qn97P7m/RD/KP43/0z+S/9J/kj/
Nf49/y3+OP84/j3/R/5G/0v+SP9C/kP/N/46/yf+Mf8M/iD/6P0K/9X9//7u/Q3/Nf42/4P+
ZP+m/nn/j/5r/1j+Sv8p/i7/Ef4e//j9EP/M/fX+kf3S/m/9vv6D/cj+u/3q/u39B//4/Q3/
4f3//s398v7S/fX+5v0A//X9B//2/Qj/Af4P/y7+Kf91/lL/sP52/8H+f/+j/m3/d/5R/1z+
Qf9W/j3/Uf46/z/+MP8p/iL/Hv4a/yf+H/8x/iX/LP4i/xP+Ev/1/QH/5/34/uz9+v4C/gf/
MP4j/4r+Vv8j/7L/7/8rALkAowBFAfQAbQEMATwB7wDbALUAagByAPP/KwBw/9v/6f6L/3j+
R/83/h//Lv4Z/0f+KP9h/jf/b/4//3f+Q/+J/k3/qv5h/9P+eP///pH/Lf+s/2L/zP+W/+r/
tP/8/6z/9v+H/+D/Z//M/3D/0v+n//H/7/8dAB8AOAAiADkABQAoAOL/EwDP/wcAxP8BAK//
8/+H/9z/Wf++/0L/sf9e/8L/vf/6/1sAVwAvAdQAJgJnASwDAgIgBJMC5QQHA2gFVgO0BYED
3wWaAwEGsAMiBsEDLAbIA/sFqgN0BVkDnwTaAqIDRAK4ArgBCAJQAacBFAF9AfwAbAHxAFkB
5wA7AdMAIQHEAB8BwQA7AdMAaQHtAIcB/wB0AfQAJgHEALcAggBXAEgAJwAsAC4ALwBNAEIA
YgBNAF4ASwBDADoAIQAlAP7/EADf//7/1v/4/wAAEQBnAE0A7wCdAFcB3ABlAeMADwGvAIcA
XgASABkA2//3/9T/8//S//P/sv/e/3H/t/8j/4r/4f5h/7n+SP+y/kT/yv5S//D+af8K/3j/
9v5t/6r+Pf8y/vf+tv2t/lL9cf4Q/Un+4/wu/r38F/6U/P/9Z/zj/Tb8x/0L/K398vue/fb7
oP0U/LH9M/zD/UL8zP1C/Mv9UPzU/YX88/3d/Cf+LP1W/k39av5E/WT+PP1f/lv9b/6d/Zf+
1f24/tb9uf6i/Zr+Yv10/kD9X/5A/WD+Sv1l/kr9Zf5I/WP+WP1s/nj9gP6S/Y/+jP2L/m/9
ef5e/W/+cf17/p/9lf64/aT+nv2U/lr9a/4R/UH+5/wm/tn8H/7W/B3+zPwW/rv8DP6q/AP+
mfz4/Xr85f1R/M39Mfy5/Tb8vf1q/Nv9ufwK/v/8NP4e/UX+Cv06/s78Ff5+/OX9Nvy8/Rb8
qP0u/LX9b/zc/bH8A/7O/BT+uPwI/pH88P2G/Or9rPwA/un8JP4N/Tn++Pwt/rT8BP5h/NL9
Jfyw/Q/8ov0h/Kz9UvzJ/ZL88P3M/BL+5fwi/tT8F/60/AT+r/wB/tz8HP4r/Uv+bf1y/nz9
ev5f/Wn+Sf1b/mL9av6q/ZX+/f3F/i3+4/4y/ub+Jv7f/ij+4P48/uz+Vf76/ln+/v5M/vT+
Pf7s/kH+7v5R/vj+YP4B/2z+B/+I/hj/2v5J/3r/qf9aACwARgG6AAcCLAFtAmkBbAJpARkC
NwGUAecAAwGRAIsASgBEAB8ALwAUADkAGQBJACQATAAlAEIAHwAzABcAMQAVAD4AHABUACoA
cgA7AKMAWAD4AIsAgQHdADACRQHbAqoBSgPsAVMD8QHwArYBSAJTAZkB6wAbAZ4A6ACCAPwA
jgA2Aa8AbwHSAIoB4gB1AdQANQGvAO0AhADGAG0A4gB/AEIBtwC6Af4ABAIqAf0BJgG5Af0A
dgHWAHIB0wCvAfgA+QEjAQ8CMQHeARQBhwHgAEIBuAAtAasAMAGtACgBqAACAZIAzwBzAKkA
XQCiAFgArQBfAMQAbQDiAH4ABQGUACYBqAAxAa4AGQGgAO4AhgDWAHcA5AB/AAYBlAAXAZ0A
9wCLALUAYwB4AEAAaAA1AIcASQC+AGkA7wCFAAABkADqAIIArQBfAF8AMAAuABMASQAkAMMA
bABsAdEA7QEdAf4BKAGeAe8AEgGcAK0AYACRAFAApQBaAK4AYACRAFAAXgAxACwAEwAAAPn/
yv/Z/3v/qv8i/3b/3P5L/8P+PP/P/kP/5P5R/+3+Vf/m/lH/2f5J/9f+SP/m/lH/Bf9j/yn/
eP9E/4n/Tf+N/0T/iP9J/4z/hP+t/wIA+f+nAFsALgGsAF8ByQAvAa0AyABwAGMAMwAfAAsA
9//0/+v/7f8NAAAAfABDAEIBuQAxAkgBAQPDAX8DDQK1Ay4C1gNCAhAEZQJhBJUCpQS7ArAE
xAJ4BKICDARiAoQDEAL1ArsBbQJrAf0BJwGyAfsAiwHjAHQB1gBSAcEAGQGfANEAdACUAE8A
cAA7AGMAMwBiADIAXQAuAE0AJQAsABEA+f/z/77/0f+R/7b/iv+x/63/xv/g/+X/9//y/9P/
3f9//6z/J/93//X+Wv/4/lz/IP9z/07/j/9y/6T/jP+z/6f/xP/L/9j/7P/s/wAA+P8BAPn/
/f/2//3/9v8EAPr/BQD7//D/7v++/8//fP+o/0L/hf8j/3P/JP90/zr/gP9U/4//bP+e/4P/
q/+a/7j/r//F/8D/z//O/9j/4//j//X/7//1/+//0P/Z/4n/r/9E/4X/Kv92/03/i/+W/7b/
1//d//D/7P/u/+z/8f/t/wgA+v8dAAcAEAD//9f/3P+d/7v/pv+//xwABADtAIEA3AEPAaMC
hQEUA8kBKQPVAfICswGHAnQBBQInAYUB2wAfAZ0A2AB0AKwAWACGAEIAXgArADQAEAAKAPj/
6f/k/9L/2P/K/9L/0//X//D/5/8cAAMATgAhAHYANwCGAEIAfgA8AGIAKwBAABcAJQAIABMA
/P/9//D/2P/a/6D/uP9d/5D/Kf9w/xP/Y/8h/2v/Rv+B/3L/m/+b/7L/uv/F/9L/0//h/9z/
6//i//v/7P8QAPj/IQACACQABAAPAPj/6v/h/8f/zP+x/7//pP+4/5f/r/+J/6j/h/+m/6X/
t//W/9X/BwDy/x8AAAAcAP7/EAD3/xAA9/8XAPv/HQD+/xoA/f8dAP//NgANAGAAJgB9ADcA
agAqACEAAADF/8j/iP+j/43/pv/I/8n/EAD0/zcACgAhAP7/1//Q/3//nv9K/37/Uf+B/4n/
o//M/8v/8f/h//L/4P/q/93/9v/k/xUA9v8pAAIADQDx/7z/wf9R/4L/8P5I/6T+G/9l/vX+
L/7V/hH+xP4f/sz+VP7r/o/+Dv+k/hn/ff4C/zP+1v7w/a7+0v2d/ub9p/4k/s3+fv4C/+D+
O/8s/2j/R/94/zL/a/8K/1T///5N/yb/Y/9q/4z/pP+v/7X/uf+Z/6j/af+L/0T/df9B/3X/
bf+P/7z/vv8TAPL/QQANACkA/v/c/9H/lv+o/5v/q//5/+P/gQAzAOwAdAAUAYwADQGHAAEB
fwD/AH8A+QB7ANcAZgCeAEUAaAAjAEgAEAApAP7/5//W/3n/k/8D/0//wf4m/87+Lf8V/1j/
bP+L/7T/tv/w/9n/KgD9/2EAHACAAC4AeAArAFAAEwAcAPP/5//V/7b/uP+L/5//dv+S/4X/
nP+6/7z/+P/h/x4A9v8bAPX////k/9//0v/C/8H/nv+t/2z/jv8+/3L/O/9x/2//j//F/8L/
CADq/xcA8//9/+P/6P/X//3/4v81AAQAZQAfAFwAGgARAO3/qf+w/1//hP9j/4X/uP+5/zcA
AwCcAEAAswBNAG0AJAD8/+H/q/+x/6//tP8DAOb/bQAlAKwATACxAE4AowBHALYAUgDzAHcA
KwGYACABkgDDAFwAQgANAN//1P++/8H/yv/H/9X/zv/G/8X/r/+2/6r/tP/K/8j/CADr/2UA
IgDrAHMArgHlAJcCcAF1A/QBGgRVAo8EnAISBeoCzQVYA6cG2QM8BzIEHAcgBDIGlAPHBL0C
ZgPrAXwCYQEpAjABRAJAAYICZQGdAnYBcQJcAQICGgGFAdEAQAGoAFwBuQDIAfkAOAI8AWMC
VgE2AjsB3wEIAaYB5QC1Ae8ADQIiAZECcQEoA8sBtAMeAgoEUAL8A0gChAMBAuECoAFzAl4B
bQJbAa0CgAHRApQBoQJ5AU0CRgE6AjsBngJ4AUoD3gHKAyoCyQMpAl8D7AHrAqYBrwKDAaQC
fgGRAnIBUgJNAf4BHAHAAfcAoQHmAIEB0wBDAa0A8gB/AMAAYQDIAGYA/ACFADIBpQBUAboA
awHIAIMB1gCJAdkAXAG+APUAgQCKAEAAYAAnAJEARQDlAHYAAgGGALcAWgArAAcAuf/D/5//
s//g/9r/PAASAHYAMwBjACgAAQDu/2v/lf/d/kD/pf4h/wD/Vv/g/9z/4AB2AHgB0QBZAb4A
pQBUAND/1v9C/4L/EP9k/wT/Xv/o/k3/s/4v/4P+Ef9m/gD/S/7w/hf+0v7X/az+xv2i/hH+
zv6w/iz/U/+N/6T/vP+I/6z/Nv97/wf/X/83/3r/tf/G/0UAGwCYAEwAhwBCACUACQCy/8X/
cP+d/4f/q//k/+L/RQAcAG8ANgBQACQADAD7/9b/3P/G/9L/yP/U/8L/0v/D/9P/AQD4/7gA
ZADjARcBNgPhAUwEhgLhBOACBQX0AvUE6wLzBOsCEgX9AjQFEQMsBQwD4gTeAl4EkALDAzUC
LwPcAasCjQEyAkYBvQEAAVIBvwADAZEA3gB8AOMAfgD8AI0AEQGZABYBnQAVAZ0AEwGbAAgB
lQDvAIcAywBxALAAYQCxAGIAywByANsAfQDJAHIAmQBWAHUAQACEAEkAvwBtAPgAjwAIAZkA
+ACOAP8AkgBdAcoAIQJAAScD2wEzBHoCGgUDA8cFagM3Bq0DbQbMA3IG0ANgBsUDUwa8A1UG
vgNjBscDdgbSA48G4AO4BvoD8gYcBBoHNAQLBysEwQYABGgGygM9BrIDYQbHA7UG+QMBBycE
HQc5BBEHMQT9BiYE+wYkBP8GJwT9BiUE7QYdBNsGEgTKBgYErgb3A4kG4ANtBs8DgAbbA9IG
CwQ7B0kEawdlBDAHQgSkBu8DKQalAyAGoAOkBu4DcQdoBCAIzgRrCPsEVgjwBB4IzgT8B7sE
Agi+BBIIyAQCCL8EwQeaBGEHYAQLBzAE5AYYBOkGGwT2BiME3QYWBJAG6AMtBq4D7wWIAwEG
lANeBssDxgYIBPYGJQTLBgsEYgbNAwUGlQPtBYYDJwaoA4kG4QPUBg4E5QYXBMgGBQSrBvQD
sQb2A88GBwTaBg0EpAbuAywGpgORBUkDCwX5AroEygKrBMEC0gTYAiQFCgOQBUkD/AWKA0kG
ugNsBs8DbQbRA24G0gOEBuADqgb3A8gGCgTRBhEE1QYTBOcGHgT/Bi4E/AYsBL4GCQRVBsoD
9QWQA80FdwPYBX8D4gWDA7cFaANUBS0D7QTuAqsExgKcBLwCowS+AqIEvgKXBLYCkQSxAooE
rAJuBJwCLARzAskDOAJoA/0BHgPSAeQCsAGfAogBSQJTAfEBIQG4AQABqgH4ALYBAAHEAQoB
0wEVAekBIgECAjMBBgI4AeUBJAGuAQUBlQH4AMUBFQEvAlQBlgKSAbcCpQGAAoUBGgJIAb4B
EAGLAfIAiwHxALMBCQEAAjQBYgJtAbUCnQHOAqsBngKNAUkCWQEMAjMBEQI0AUoCVQGGAnYB
lwKAAXsCcAFHAlABDAItAckBBAFzAdIAFwGbANMAdADGAG4A7QCGACUBqQBEAb4AQAG8ACIB
rQAKAaAADAGiACUBsgBDAccAUwHRAE0B0ABAAcgASgHOAHkB6wC3AREBzwEfAZAB+AD8AKAA
XABAAAIACQAXABUAdABKAMcAeADZAIIAugBtAKUAXgDKAHMAIwGnAH4B2gCpAfMAlQHlAFgB
wQAWAZoA9QCFAAsBkABbAcIAywEFASICOQEvAkIB6gEbAYYB4QBAAboAMAGxAC0BsgD9AJgA
kgBZAB4AFgDn//j/BAALAEsANwB2AFIAbABMAE0AOgBOADwAfABXAK8AdgC6AHoAjwBhAFUA
PQA7ACwATwA2AHwATwCeAGIAoABfAIUATQBnADoAYgA0AIoASgDfAHsAPgGyAHMB0QBWAb8A
8QCBAIUAQQBfACoAkgBJAOcAfAABAY0AqQBaAPj/8v80/3//lP4j/xz+3f6r/Zz+NP1X/s78
HP6d/AL+pvwJ/sL8HP6+/Bv+iPz8/T380f0L/LT9Evy3/Uj82P2V/Af+5fw1/i/9YP57/Yz+
zf26/i7+8/6m/jj/Mf+I/7f/1f8GAAIA8v/0/2r/of+K/hr/j/2D/rj8Av4t/K799vuM/f37
j/0d/KL9Lfys/Rn8oP3j+4L9rvti/aT7Xf3d+4H9SPzC/bD8Af7Z/B3+pvz//SD8sv13+1D9
6Pr9/KL61vy3+uX8E/sd/Yj7ZP3d+5f98vul/cP7if1t+1b9F/sj/ef6Bf32+g79UPtB/e37
nv2n/Ar+N/1e/lf9b/7z/DH+RfzI/b77dv2w+2v9EPyi/Xj83v13/N397vuI/Sf7Ev2l+sP8
svrL/DH7F/27+2j98vuK/cn7cv13+0P9QPsj/Tz7Iv1Q+zD9W/s4/Uz7Mv0s+yH9BfsL/dD6
7vyI+sb8L/qS/Nz5Yvyg+UH8fvks/F/5G/wy+QL8Afnk++T40/vx+Nn7IPn2+1b5FPxy+SX8
c/kk/HT5IvyQ+TH80/lY/B/6g/xR+p/8Wfqh/Ej6lfxQ+pf8lPq+/BX7Cf2l+179Dfyb/S38
rv0U/J/98fuJ/eT7gv3q+4X93ft//Zv7Wf0r+xb9vvrY/Jb6wvzR+uf8W/s7/fL7lv1L/Mz9
OvzF/cf7gv0h+yL9kvrP/E76pvxe+rL8pPrc/O36CP0f+yb9Pfs3/WP7Tv2c+3D92PuS/fT7
of3l+5j9xfuD/bf7ef3L+4P97PuV/f/7n/0R/Kj9VPzO/fn8Lf77/cb+HP9w/woA/P+bAFMA
4AB6AAEBjQAVAZoAFwGaAPcAhgDCAGgAkwBNAHUAPABLACUA5P/o/yf/e/8w/uj+Qf1c/p78
/f1d/Nj9aPzh/Yf89f2J/Pf9T/zX/ej7mv2H+2H9aftR/a/7ev03/Mz9rPwR/r38Gv5e/OL9
3/uW/aj7dP3s+5v9ffzw/fH8M/7z/DP+hvzw/fH7l/2O+1n9hftT/dP7gP1Y/Mz98/wn/or9
gP4E/sf+Pv7q/jT+4/77/cH+xP2g/rH9lf7B/aD+0f2q/rH9l/5R/WD+yvwS/lX8zf0l/LL9
SfzK/ab8Av4B/Tv+K/1V/iH9Uf4O/Ub+JP1V/nn9iv7q/c3+Mf75/iL+8P7A/bb+PP1n/tP8
KP6e/Aj+lvwC/qT8Cv67/Bb+2fwn/v38O/4a/Ur+KP1P/ij9Tv4y/VP+Wf1p/qT9k/4E/sr+
bP4H/97+Sv9u/57/KgAOAAgBkADcAQ4BbgJlAZkCfwFgAl4B9QEgAZEB5QBPAb8AHgGjAM4A
dgBEACYAkv+///j+ZP+r/jj/r/49/9L+VP/V/lf/nv43/0n+Bv8K/uL+AP7d/if+9P5s/hz/
wv5Q/yb/i/+H/8P/tf/e/4z/w/8O/3f/gv4i/0D++P54/hn/BP9p/33/r/+D/7H/9v5c/w7+
0f43/U7+1/wU/ir9RP4i/tb+Z/+Y/3sAOwDlAHsAfwA+AIT/q/+C/hH///3F/ij+3/67/jn/
Pf+H/0r/kv/j/lb/Xf4I/yT+6f5q/hT/B/90/5b/yv+7/+L/Yf+t/7n+Sv8T/uj+m/2h/kj9
cf7+/ET+tvwY/pb8Bf7N/CT+WP11/un9yf4Y/uP+sv2k/uD8Jf4Z/Kz9x/t7/QX8nP2J/Or9
8Pwl/vr8Kv66/AL+gPze/aP88/1O/Vj+Yf77/oT/qP9JAB8AagAzAOr/6P8f/3D/gP4T/1v+
AP+l/i7/Cf9r/yb/f//a/lT/Vv4H//L9zv7i/cb+FP7m/kP+A/8w/vj+3P3G/n/9kf5b/Xz+
g/2U/sz9v/7r/c/+tv2w/kH9Z/7E/Bv+ffzv/X/87/2z/Av+9/wz/jn9WP52/Xj+oP2Q/qf9
k/5//Xn+Of1P/gv9Mv4d/Tz+bf1q/r39mv7P/aT+lP2C/j/9UP4T/Tf+LP1I/nD9cf6p/ZX+
vP2i/rP9oP6k/Zj+if2L/lT9bv4N/UX+5Pwu/hj9T/7A/bT+oP45/1T/pv+R/8v/Sv+h/67+
RP/8/dv+Y/1//gD9Qv7p/DT+KP1X/qL9nv4e/ub+Yv4N/2D+Cf9E/vb+Q/7z/l7+Av9m/gX/
If7b/pX9hf4P/Tb+6/wf/kb9Vf7m/bT+av4C/5z+IP+J/hX/Z/4B/2D+AP97/hD/pf4r/9H+
SP/2/l//Bv9q/+7+X/+0/j7/ff4g/4r+KP/p/mL/Zf+t/5f/zP8+/5j/f/4n/9L9v/6o/af+
Ef7l/rj+SP8p/4v/LP+L/9f+V/9o/hP/Av7V/rf9pv6V/ZH+vP2m/kf++P4S/27/xP/X/xAA
AwDt/+z/qP/C/5f/t//L/9b/AAD1/+L/5P9h/5f/v/44/1b++v5M/vT+gf4V/77+PP/k/lP/
8f5c/+T+Vv+1/jz/c/4X/1r+Cf+3/kP/pf/Q/84AgQCkAQIBwwEVAU4BzwDJAIAAqwBvAAIB
ogBvAeMAiAHxAC8BvACPAFsA4f/z/0L/lP+7/kL/Z/4N/3H+Ev/n/lb/hv+z/+T/6v+9/9P/
Ov+E/8/+Q//d/kz/Yv+a/wMA+v9eADAAVQArABAAAgDK/9j/qf/G/7r/0P/1//T/SwAoAJYA
VwCYAFoALgAcAHj/sv/Q/k//jv4q/8n+T/9I/5r/uv/f/wIACQAxACQAaQBFAKsAbADSAIIA
vgB2AHsATQAnABsA2v/t/4j/vf8j/3//q/44/0P++v77/c3+v/2o/mX9cf7X/Bz+RfzC/RD8
of2I/On9sP2X/iP/dP9RACcAvwBrAFkAMABz/6n/m/4p/07+/f6q/jT/af+m/wYABAAkABQA
uf/V/x3/eP+3/j3/vP5A/wn/b/9O/5j/RP+U/+X+Xv9h/hD/Bf7b/gj+3f5w/hr/C/91/4n/
vv+r/9H/bf+p/w3/bv/g/lL/EP9v/3r/rf/R/+L/1v/m/4z/u/8x/4T/Av9o/xn/d/9p/6X/
1f/k/zsAIACAAEYAfABEACIADACS/7j/IP91/xz/c/+Q/7r/MQAcAJIAWAByAEcA7P/5/1P/
nv/6/mr//P5q/zv/j/+H/7r/tv/U/7b/1P+V/8D/bv+o/2P/o/98/7P/k//D/2v/rP/t/mP/
Sv4B/+/9yv40/vL+Gv95/1AALwBsAdUANwJLAa4CkQHqArMB9wK9Ae0CtwH8AsIBXQP+AQwE
ZwKnBMUCmwS/Ap8DKAL5AS0BZQA8AIL/s/9p/6T/tP/P/+f/7f/S/+H/mv/B/27/qf9V/5z/
Of+O/xf/e/8K/3X/Kv+J/2L/qv90/7P/Pv+S/9/+Vf+l/jL/y/5G/0j/kP/o/+7/bgA/AK4A
ZQCKAFEA6f/y/+z+Xf8B/tH+vf2q/n3+G/8HAAQAowH3AKECiwHdAq0BwgKcAd8CrQFiA/sB
DQRjAo4EsgLVBN8CEQUEA1oFMgODBUwDQQUmA4UEtgKZAygC5QK8AYQCgQE+AlUBxAEOARYB
pAB9AEoARAApAGwAQwCqAGkAtQBxAIQAVAA/ACsABQAIANr/7f+3/9f/sP/R/93/6f8sABYA
UAAqAAoA//9z/6b/BP9l/y3/fv/h/+v/kQBUAKEAXwAAAP//Nv+I//n+Y/+F/7b/eABFADYB
tQB1AdkAZAHQAGABzwCGAeUAlwHxAEYBwwCPAFgAyP/j/1X/oP9e/6b/s//Z//n/AQDw//z/
lf/F/x//ff/P/kz/2f5S/zj/iv+r/83/0P/k/2X/pv+D/h//lv2R/h/9S/5T/Wn++/3M/qb+
Mf8E/2j/Ef9u//X+XP/N/kP/iP4b/x7+2/6u/Zn+hv2C/tv9tv6U/iX/Uf+W/7//2P/M/+H/
s//S/7P/0//O/+P/0//n/5T/wv8c/3j/n/4w/07+AP8l/un+Af7U/sX9sP5+/Yf+UP1s/kX9
Zf5I/Wj+NP1a/gf9P/7j/Cn+9fwy/kz9Zv7M/bL+TP79/rb+PP8O/2//X/+e/6H/xf/E/9n/
vv/V/6f/yP+t/8v/5//t/0QAJACRAFMAnQBaAGEANgD+//v/qv/K/4H/sv+G/7b/pf/I/9j/
5/8iABQAgABMANgAgQD3AJUAtABuABcAEQBf/6T/6v5f//n+Z/+F/7v/RwAvANwAiAD6AJkA
mABfAO3/+P9Q/5r/Ef9z/03/lf/m//D/kwBXAA4BoQAzAbcAFgGlAOQAhwDDAHMAuQBtAL0A
bwDPAHgABAGXAGoB1ADcARYBBQIuAZcB7QCTAFMAV/+X/3D+Dv81/u3+ov4u/2D/oP8aABAA
qwBnABsBqQBxAd0ApAH6AKcB/QCKAewAeAHgAI8B7gC/AQwB1wEaAb4BDAGSAfMAjgHxAMMB
EAHyASwBtgEJAeUAjADP/+X/Ff91/zf/if8sABkAXgHOABMCOgHnAR8BCgGcABMACgCe/8T/
6v/y/8wAeADUARQBlwKIAdwCsQGqApIBMQJLAbAB/gBbAcsATgHDAIsB6ADzAScBTAJcAU4C
XgHZARkBEgGlAGMAPQBAACkAzQB8AL4BDAGDAoABqQKXASoCTAF1Ad8AEgGlAEcBxQDyASsB
qwKYAQIDzAHEAqgBCAI3ARsBqQBdADcAFgAOAFMAMQDZAIAAQgG/AEwBxAABAZcArgBmAKIA
XgDhAIQALwGzAEgBwgAnAa0ABAGZABkBpQBiAdEApQH4AKQB+QBnAdMAKAGvAB8BqgBIAcEA
YAHQACgBsACTAFgAy//i/xP/dP+i/jH/j/4m/9/+Vv99/7T/NwAiAMUAdgDsAI4ApwBlADAA
HQDk//L/FwAQAOMAiQAnAkkBkAMfArIEzAIuBRUD1gThAsgDPgJqAm8BNwG3AIUATQBZADMA
fQBJAKYAYQClAGIAbwBBABYADQC+/9j/iv+6/5H/vf+//9j/3//r/77/1/9d/5//Av9n//b+
Yf9N/5b/xP/c//b/+/++/9r/Sf+U//D+YP/T/k7/y/5K/5v+LP9K/vv+Hv7h/lb+Av/U/k7/
Lf+D/wX/a/9s/hH/0f21/qb9m/4D/tL+q/43/1r/nv8BAAEAugBvAIwB6gBFAlgBqQKUAakC
lAF6AncBaAJsAZYCiAHwAr4BTgP3AZsDJQLUA0cC9gNbAv0DXwLxA1gC+gNdAkgEiwLSBN0C
UAUoA2kFNwMDBfoCawSfAg8EaQIwBH0CqQTGAiIFDwNeBTIDXwUzA1MFKwNRBSsDUAUpA0cF
JANGBSIDbgU5A8EFawMYBp4DNgaxAxcGngPvBYgDDgaaA5UG6gNhB2MEHwjVBIwIFwWOCBcF
NgjiBLMHlARMB1YERQdRBMUHngSnCCQFiwmsBf0J8QXOCdUFKwl0BXcICQUACMME0QenBMIH
nQS7B5kEyQehBAkIxwR+CAwF+ghWBUcJhAVRCYsFOgl9BTEJdwVJCYUFawmbBW4JnAU6CX0F
3ghFBX8IDQVICO0ESwjuBIAIDgXFCDcF8ghRBewITgW5CC8FeAgJBVAI8QRQCPEEbAgBBY8I
FgW1CCwF5QhJBSAJbAVLCYYFQQmABfcIVAWTCBoFYQj7BJEIGQUWCWgFqQm/BfgJ7QXkCeEF
iAmqBR8JbAXVCEAFrwgoBZcIHAV1CAYFQAjnBAUIxQTZB6wEygejBN0HrgQFCMYENAjiBF0I
+QR6CAoFhAgPBXMIBgU7COQE3QesBHEHbAQlBz8EGQc4BD0HTwRZB2AENAdKBMwGDARfBssD
Pwa4A5UG6QMwB0YEsweTBM8HowRzB2sE0QYMBDIGrwPHBW8DnwVYA7AFYgPjBYIDGQaiAyQG
qQPlBYIDXgUyA74E0gJKBIsCLAR5AlAEjgJ3BKUCYgSaAvsDXAJlAwUC4gK5Aa4CmwHhArkB
ZQMIAgAEZAJhBJwCSASMAqgDLQLGAqUBFgI8AQMCMAGhAo4BlAMfAkYEigJABIcCewMSAmAC
bAGDAekAQAHCAI4B7wATAj0BdAJ1AY0ChAGBAnsBiQKAAbcCmwHuArsB8wK/AbICmgFMAl4B
AwIzAQICNQE7AlYBbgJ1AWQCbgEeAkIBzwEUAbAB/wDLAQ4B9wEoAQICLwHYARYBmQHxAHgB
3gCTAfEA5gEjAUkCXgGBAoABWwJpAb4BCwHDAHUAvv/Y/xf/df8V/3P/o//G/1sAMwDLAHYA
yAB1AIQATgBOAC8ATAAwAF8APABVADQAIwAXAPr//v8EAAIAMQAeAE4ALgA4AB8AFAAJACoA
FgCRAFQA/wCXAPwAlgBNAC8AOf+M/1f+Bv8c/uP+hv4h/zz/jf/j/+//ZQA8ANwAggBUAcgA
rwH+AMMBCgGSAe0AUQHIAEEBwAB5AeEA2gEcATcCUwFsAnMBcAJ1AUYCWwHwASgBhQHnACgB
rwD5AJMA8QCOAOsAiwDNAHkArgBmAMMAdAAmAbAApwH9AO0BJgHBAQwBUQHKAAQBmwAXAaYA
aAHWAJoB8wB0AdwAJQGsAAoBngBfAc8A9gEpAWcCbgFqAnABAwIzAW8B2wDnAIoAhQBQAGQA
PACoAGQAZAHTAGMCbAEmA+ABKwPhAVICYAESAaMAIwAUAAAA//+XAFsAbAHYAPQBKQH2ASoB
hgHpAO4AjwBzAEQARgAqAH0ASgAFAZwAkgHvAMoBDwF6AeEA0wB9AEgAKgBBACUAxQB0AHcB
3gDkAR8B1wEYAXQB3QAEAZwAtQBtAHgASQAyACAA6f/z/7v/1v/K/9//DAAHAFEALwBrAD4A
VAAxACsAGQAaAA4ANwAhAHwATADJAHoA9ACSANAAfgBTADMAo//J/xL/cv/1/mD/Y/+h/xYA
DACWAFYAhABNAOD/6/8I/2z/cP4T/17+CP/G/kf/Zf+m/+P/8v///wEAmf/D/8v+SP/s/cP+
ef1//s79r/7a/k7/GAAMANIAewCTAFcAfv+z/y3+7P5R/Wv+Sv1n/v390f76/mf/wv/c//3/
/v+f/8X/4/5U/z3+8f4g/uD+tf44/6n/y/9dADcASQAsAGL/pP8q/uv+Vv1u/lH9av70/cr+
vP5B/yb/fv8J/2z/j/4i///9zP6G/YT+H/1G/q38BP4b/K/9Z/tF/aj61fwD+nT8kfkw/FD5
Cvwk+e/77fjN+6z4pPuM+JD7s/im+xz55PuF+SL8m/kw/Ej5APzE+LL7cviD+5j4nPs++f/7
Rfqb/IP7WP3O/Bv+1/23/jL+7f6S/Yz+Fvyp/V/6o/w++fj7J/nr++j5X/zV+u38Q/sx/fL6
Av0X+n/8Ffnm+z/4Zvu29xP7e/fu+nv37vqT9/v6mff++nH35vos9776+vah+v32pPok97z6
KffA+tH2jfoi9iX6ZPWz+f70d/kt9ZL55/X++eH2kvqz9w37BPg9+7j3EfsH96j6dvZT+o/2
ZfqP9/76KPny+7T63fyZ+2X9s/tz/Vf7O/0W+xP9Qfss/cL7eP0y/Lr9LPy2/Yz7WP2H+r78
h/kn/PX40fv9+Nj7efki/AH6cfww+o784vle/EP5/vun+KD7U/hu+1X4bfuQ+JH75/jF+0H5
/PuA+SP8h/kn/EP5AfzW+MD7fviN+3L4hfus+Kf78fjO+xP54PsZ+eT7L/nw+1/5DPx1+Rr8
Ofn3+7v4rfti+Hn7pPih+475Lfyq+tf8Y/tE/W/7S/39+gb9Xfqm/Lj5QvwC+dT7QPhh+8T3
F/vx9zP73vjC+x36gPwD+wv9K/sj/bb63vwY+oH8uvlI/Lv5R/wV+nr8wfrf/Kz7bP2V/PX9
Cv06/sD8D/7h+4v9B/sL/bj63/z6+gb9RPsz/QP7Df0s+o38Pvn9+9j4v/s3+fX7FPp4/Pr6
//yb+1/98vuU/RL8qP0O/Kb99PuY/eb7kv0U/K79jfz3/Sv9Vf6x/aP+Cf7V/lD+/v61/jj/
NP+E/6P/xf/W/+P/3v/o//P/9/8uABsAXgA6ACcAGQBf/6X/Rf79/lj9b/74/DX+HP1J/mn9
dP58/X7+N/1V/sn8Ev53/OH9aPza/ZD89P24/Az+qPwG/lH80/3P+4f9ZPtH/UL7Mf11+079
0/uE/SD8sP09/MH9Nvy7/Sz8tf04/L39XPzS/Yz88v3N/Br+Hv1M/m/9fv6e/Zn+j/2R/lf9
bv4w/VT+Rv1g/o79if7N/a3+zP2t/pP9iv5Z/Wj+TP1j/mX9c/5u/Xr+R/1m/gz9Qv73/Db+
MP1Y/qD9mf7//dD+Gf7e/uX9vf6J/YX+Nv1U/g79PP4i/Un+cv16/uz9xP5h/gv/nf4v/4n+
JP9G/v3+C/7a/v790P4M/tf+Bf7R/tP9sv6V/Yz+kf2J/vH9xP6Y/if/KP9+/0b/kf/g/lf/
RP76/uz9xv45/vX+L/+G/2UAPgBHAcMAcwHbAOsAigAdAA4AiP+2/2H/nv98/6//dP+r/wn/
bf9K/vz+h/2K/v78Of6z/A3+ePzp/Sf8uP3J+3/9ivtZ/Yv7WP3D+3n9BPyf/Sf8tP0n/LX9
Hfyx/Sn8t/1W/NP9mvz9/eL8KP4Y/Uf+Mv1X/jP9V/4u/VP+Ov1a/mT9cv6b/ZL+tf2h/on9
h/4N/T3+dfzk/Rb8rP07/MP95/wp/s39sv51/hf/jf4l/xf+3/5r/Xf+7fwt/sv8F/7h/CT+
7/wt/tH8Gv6j/P/9m/z7/dv8If5G/WD+p/2b/tT9tv7M/bD+n/2X/lr9bv78/Db+lPz3/VP8
0f1y/OP9/vw1/r79p/5J/vr+V/4C/+P9vv48/Vv+wvwS/rH8Cf4H/Tz+hP2H/tD9tf6r/Z3+
D/1B/kb8yv3J+3/98fuW/bb8C/6k/Zn+Jf7j/ub9v/4U/UL+M/y8/bz7dv3P+4P9M/y//Y/8
9/2k/AL+Yvzb/ev7k/1y+0v9M/sm/V/7P/39+5v91fwd/o79iv7X/bb+pv2Y/jD9VP7D/BT+
iPzx/Xr86f1+/Oz9g/zw/ZL89/20/Av+8fwu/j39W/6E/YT+p/2Z/of9hf4R/T/+YvzY/bv7
df1l+0T9fvtS/d37jP07/MT9c/zm/Y/89v28/BD+A/05/k39Zf59/YD+m/2S/tn9tf5M/vv+
0v5M/xj/df/o/ln/ZP4N//T9yv7x/cr+Yv4N//r+Zv9T/5r/Ov+L/8H+QP8d/t/+jf2I/iz9
T/4A/TX+9fwv/vD8Lf7g/CT+yPwY/sL8FP7V/CD+8vwy/vr8Nf7Y/CH+rfwF/rb8Cv4V/UH+
nf2R/u79wv61/aL+/fw1/iv8uP3B+3r9Cfyn/en8LP7w/cj+nP4u/6T+Mv8T/tv+T/1m/tf8
Hv4A/Tb+uP2i/o/+Iv8O/2//AP9n/5/+Lv9K/vz+P/73/mL+DP9v/hT/SP78/gz+2P74/cv+
Hv7g/lb+Av9p/gz/Uv7//kH+9P5g/gf/oP4v/73+Qf98/hv/8v3J/oT9iP6b/Zb+VP4D/2H/
ov8/ACYAhwBPACgAFgBv/6j/yv5F/4b+Hv+f/i3/xv5F/6r+Nf82/vH+qv2f/mj9dv6g/Zf+
Jf7n/o7+JP+S/ib/TP76/hz+3/5h/gf/Jf98/x0AEADtAIsAYwHUAIsB6wCGAegAXwHSABEB
pACYAFwADgAJAKX/yv96/7D/gf+0/4b/tv9P/5b/zv5J/y7+6/7H/a3+1f23/lP+Av/l/lj/
F/93/7b+PP/9/c7+fP2A/q79nv6f/i7/3f/q/8oAdwAFAZsApwBiABMACwCs/87/kP+9/5r/
xP+T/8H/Xf+f/wb/bP+//kL/vP4//xz/ef/b/+j/yQB2AKgB+wBEAlkBkgKHAbECmQHKAqkB
+ALFATID6AFeAwECWQP/ARYD1wGdAo0BDQI3AYsB6gAxAbUA/gCXANIAfACOAFQANwAhAPj/
+//8//7/TQAvAL8AcgAaAakASwHFAGUB1ACDAeYAlAHwAGsB1wDsAIwAQAAlAL//2f+0/9L/
IgAWAM0AewBnAdYAzAERAfYBKwHvAScBuwEHAV4B0AD2AJIAqwBkAJIAVwCwAGgAAQGYAJoB
9ACRAoYB2ANLAioFEwMpBqoDpwb2A8QGBgTGBgcE0wYPBNUGEQSnBvQDSAa7A+UFgQOoBVwD
gwVFA0oFJQP+BPgC6ATrAl4FMQNdBsgDawdqBO0HtwStB5AEBQcsBIwG5QOIBuEDtQb8A44G
5QPRBXUDtQTMAqsDLQLyAsEBegJ6AQ0COQGjAfoAcQHbAKEB+QAXAj8BbwJyAUgCWwGXAfIA
uABtADIAHgBiADoATgHGAKQCkgH2A1wC8ATxAnkFQgOmBVwDpgVcA5sFVgOSBU8DiQVKA4kF
SwOYBVMDqwVeA5YFUgMmBQ8DQwSIAhED0wHXARgB2ACBADUAHwDq//P/5v/x/w8ACQA7ACMA
KwAZAK3/z//W/k//C/7V/s39sv5f/gf/hP+2/6IAYQAbAagAtQBsALD/0f+e/i7/Av7R/hL+
2f6W/in/Gv93/zH/hf/F/kX/M/7t/g3+1/6w/jj/8P/2/yYBrwClAfoALgG0ABIACwDm/lj/
Ff7c/rT9ov6c/ZT+uf2k/gj+1P6E/h7//f5l/yv/gf/o/lr/Xf4H/9v9uf6r/Zz+2/25/k3+
/P7X/k//Uf+Y/5f/wv+H/7j/Hv96/5D+Jv80/u/+TP78/sn+R/9T/5n/g/+2/yr/gf9u/hH/
qP2c/jj9Wf5U/Wr+9v3K/tj+UP+I/7n/o//I/w//cf8i/uT+eP1//pT9j/6M/iP/AQABAGQB
0wBBAlgBaQJvAeABHgHNAHoAdf+u/zf+8P5o/XX+LP1R/mH9cP69/af+Df7X/kj++v50/hT/
f/4c/1L+Af///c7+4P29/l/+CP+F/7f/1wCAAJ0B9QBsAdgAhgBQAJH/vv8T/3T/FP90/z3/
jP9G/5L/N/+I/0H/jv9x/6r/lf/B/3T/rP8O/3D/qf40/5P+J//a/lH/Sf+S/5n/w/+r/83/
jv+9/17/oP8x/4T/Ef9y/wv/bv8e/3r/OP+K/zH/hf/6/mX/rv43/4j+If+r/jb///5n/0D/
jv86/4v/+/5k/8r+SP/v/l3/cf+q/xUADQB4AEcAUAAvAJ//x/++/kH/M/7u/nH+E/96/7D/
0wB+AMMBDQHJAQ8B9gCRANr/6v8U/3T/6P5a/yT/ff9t/6j/k//A/6j/y//H/93/8f/3/wsA
BwAWAA4AOwAjAKYAYwBBAb8AswEDAaEB+QD/AJgAJwAXAJP/v/+G/7j/2//q/yoAGQAcABEA
oP/H//H+X/9o/g7/UP4A/7f+PP9m/6T/AAAAACoAGwDP/+L/JP99/5f+Kf+D/h3/AP9o/9v/
6f+yAGsALwGzABYBpQBvAEIAgv+2/8n+SP+y/jr/WP+c/14AOAAlAa4APAG7ALEAaQAHAAQA
z//j/zUAHwDvAI8AgwHmAJwB9QBBAb8ArQBnACIAFADN/+H/wv/b//7//v9bADUAmgBcAIcA
UAAiABQAqP/M/2j/pf+B/7X/0//l/yIAFABKACsATwAuAEcAKwA4ACEAHQARAPf/+//W/+f/
yP/e/7f/1P9//7L/Hf96/8v+SP/V/k7/Vf+c/xMACwCiAGAAxAB1AI4AVABKACwAOgAiAFsA
NwCJAFEApwBiALoAbgDMAHoAywB4AI8AVQAUAAsAi/+7/1H/mP+f/8f/ZgA9AEYBwgDSARUB
wgEMARgBpQAdABIAP/+N/+D+Vf8p/4D/7P/0/78AcgA7AbsAPAG7AOwAjACSAFYAWAA0ADgA
IgAmABgAOAAhAJIAVwA5AboA7QElAUcCWgECAjIBPAG7AFYANAC1/9T/gv+1/7n/1v9IACsA
IAGrABgCPgHSAq4B4wK4AR0CQQHLAHkAn//G/zH/hP+c/8T/cQBDAAgBnQAFAZsAhABPAPr/
+//V/+f/OAAhAO4AjgCjAfkAFgI9ATQCUAEaAkAB5gEhAawB/gBqAdcAIAGqAN4AhADHAHYA
7gCNADoBugBqAdcARAHBAMcAdgA5ACIA+f/8/zEAHAC2AGsAJwGvAEEBvgALAaAA0gB9ANoA
gQAqAbAAgQHlAJMB8ABIAcIAvwBxAD8AJAD3//v/7//2/wsABgApABkAPQAkAEMAJwBDACgA
SQAsAFoANQCEAE0AzwB6ADsBuwC3AQQBHwJDAVQCYgFCAlcB8gEnAYYB5wAkAa4A6QCKANEA
ewDEAHQArABlAIEASwBhADgAcgBEAMwAeABNAcQArwH/AKsB/QAnAa4AUQAvAIb/t/8h/3r/
TP+V//H/9v/GAHQAbgHYAKAB9gBFAcAAigBRANT/5P+N/7r/2//p/3wASADpAIkAtgBrAOz/
8/8J/2z/pv4y/wj/a//x//X/2QCAAFcBygBZAcwAEwGhAMoAdgCjAF8ApQBgAMYAdADzAI4A
BwGaAN0AgQBtAD8A6//y/6n/yv/b/+j/ZgA7AO8AjAAsAbAAFwGjAOQAhADFAHQAxQBzANEA
eADgAIIABQGZAEABuwBpAdQAQQG9ALgAagADAP7/fv+v/1v/m/+C/7H/t//S/+L/6/8ZAAwA
cQA/AMYAcgDTAHoAfwBIABEABgD4//j/XQA0AP0AkwBZAcoANgG0ANQAegCnAF8A6QCHAHkB
3AASAjcBogKNAVAD9AExBHkCEwUAA6AFVQO1BWADgAVAA0kFIQMXBQIDnwS7Aq4DKgJ1AnEB
gQHgAEMBuwCjAfQAGQI7ASwCRQHTARABYwHPACkBqgAYAaEAAgGVANcAewDDAG8A7wCJAD8B
uQBfAcsAHAGjAKIAWgBUACwAZgA3AKEAWgCYAFQAEAADAEH/if+l/iz/lv4j/xf/b//j/+n/
pgBdABoBogAaAaIAqABeAPz/+f93/6n/Zf+f/8T/1/8+ACAAdQBAAFkAMAArABUAMAAXAFsA
MQBdADIA+v/3/1X/lP/K/kL/j/4g/4r+G/91/g//UP76/mj+CP8D/2X/9//2/6sAYQCgAFoA
2v/k/+3+WP9s/gv/df4Q/6/+Mv+6/jr/iv4e/1j+//5H/vb+N/7s/ub9vP5O/WL+vPwM/oX8
6/2r/AH+3vwg/tP8Gv6Y/Pb9k/z1/TD9Uv58/hf/KAAWAL8BCAHzAr8BvQM3Aj8EhQKzBMkC
NwUYA8wFcQNDBrkDUgbCA70FaQOWBLsCOQPrARgCPgFpAdYAEgGkAMgAeABcADkA3//u/37/
tP9Q/5n/SP+U/1D/mv9m/6f/lf/E/93/7/8TAA8ABwAJALX/2P9R/5z/Kv+G/2j/q//g//P/
NQAlABYAEwCF/73/2/5Y/4/+LP/q/mL/vf/g/4MAVgCyAHIAJgAfAEb/m//E/k7/Cf92/+D/
9/+XAGQAiwBdAK//2v+U/jP/8/3T/hr+6/7G/lL/ZP+v/47/yf9K/6D/5P5k/6P+P/+T/jb/
lv43/4n+Mf9l/hz/Nv4A/w/+6f4E/uL+Hv7y/lz+GP+v/kr/Av97/0//qf+Z/9b/5/8EACoA
LABHAD4ALQAuAPD/CwC2/+n/n//b/6X/4P+z/+j/vP/t/8//+f/9/xYAQQA9AHIAXAB1AF0A
TwBIACQALQAMACAAAwAbAOj/CwCs/+j/Xv+5/xT/jv/h/nD/1f5p/xP/jv+5//H/tQCHAKIB
EwHzAUQBYQHuAEYARgBt/8X/i//X/6gAgAAUAlkB5ALVAZ4CrAF4Af0AJwA1AFj/uv9Z/7r/
BgAiAPIArwClARgBzwEyAXkB/wABAbgA4QCkAFsB7QBGAnoBJwP+AYkDOQJWAxsCxALEAR4C
YgGKAQoBHwHKAAEBtwBtAfgAcgKUAcoDXwLuBA0DhQVmA6YFegPMBZEDWAbkA0EHbwQoCPcE
sQhJBc4IWQWsCEYFewgoBT8IBQX+B94E0AfCBNoHyAQdCPAEWQgTBUEIBQXSB8IEYgd9BFoH
egTfB8gEoAg7BSYJigUkCYkFoQg7Bd4HxgQnB1kEvAYZBNIGJgRuB4MEVggLBQcJdQUVCXwF
fwghBcQHtASJB48EBgjYBOQIXQWHCb4FlwnHBSwJhQWbCDAFGgjhBKQHmwQ1B1gE/gY3BD4H
XQT4B8sEugg+Be4IXAVSCP4EOQdXBE4GygMRBqYDfgblAyUHSASUB4oElweLBEwHXQTlBiAE
iAboAz4GuwMHBpoD5AWEA9sFfgPwBYoDHwakA04GwANYBsUDGwagA6EFVwMwBRQDIAUJA5YF
TgNOBrsDygYEBLEG9AMbBpoDggU+A1gFJQOwBVgDOwaqA6YG6gPhBgwEFgcpBGAHVQSlB34E
rgeCBHAHXQQoBzEEIwctBHAHWwTSB5QE8AelBKsHewQwBzEEyQb0A5UG1AN9BsUDWgauAyUG
jwP5BXMD8wVvAxQGgwNDBp8DZQaxA2kGswNKBqAD+gVwA3oFIwPjBMkCbwSDAlcEcwKnBKMC
OAX4AsYFTAMfBoEDOwaQAyQGggPnBV0DgAUfA/UEzAJnBHcCEgREAhwESgJxBHwCugSnAqkE
nAI1BFcCwQMRAsoDFQKABIICgAUaA/wFYwNZBQEDsgMGAtkB7QDUAFEAHQF8AFsCOAGuAwAC
WARlAjEETwKTA/AB8wKRAYECTQEzAh4B+AH7AO0B9QA3AiABxQJ0ATsDuwEiA6sBQAIlAdwA
UgCb/5L/Lv9R/+H/vP9pAaUA/gKVAcADCAI8A7sBuQHTABYA2v9G/1//pf+Y/8cARAC8AdYA
zwHgAP4AZQD0/8f/d/99/9j/tv/EAEIAnAHEAO8B9QC1AdMAOwGKANIATQCjADIApwAzAMsA
SAACAWsATAGWAKQBywDyAfkADwILAd8B7wBmAacAzgBOAF4ACwBTAAUArwA9ADUBjQCIAb8A
cwGyAAcBcwCZADEAeQAdAL0ARgA2AZAAlAHIAJwBzQBKAZ4AygBTAFsAEQAmAPH/MwD6/10A
EwBvAB8AQQAFANn/x/9k/4L/G/9W/xj/V/9T/3r/pP+q//T/2v9DAAwAqABGACIBkQCfAdsA
/AETASoCMAErAjEBGgIpARUCJQEoAjEBTgJJAWoCWQFUAk4B8wEUAUwBsgCEADwAxf/L/w7/
YP9E/uj+Uv1Y/lb8w/2o+1z9lftS/Rb8n/24/AH+8Pwj/nD81/1k+zj9UvqX/Ln5PPzJ+Uf8
VPqb/P/6AP1u+0P9Zvs//eD67/wD+m38MPnw+8z4tfsZ+eT7/Pls/Av7Dv3F+3393PuM/V37
Qf2c+s78Afpz/NH5WPwY+oP8qPrY/DL7Kv1p+039KPsn/Yj6yPzQ+Vv8U/kT/EP5CfyT+Tn8
Bvp+/Fb6rvxb+rL8GPqK/Lb5Ufxy+Sr8evkv/NP5ZPxW+rL8w/r0/Of6Cv29+vD8afq//Bz6
k/zw+Xj83vlu/OT5cvwO+oz8evrN/Cv7N/31+679e/z//Wb88/2h+379bfrI/FL5IPze+Nv7
a/kw/Of6Ev3e/D3+qv5O/7//9f/y/xMAgP/P/9f+a/9W/h7/Fv74/vL95P68/cP+X/2M/u38
Sv6H/A7+Q/zm/Sn81v0x/Nr9Vfzx/Yb8Dv6v/Cb+vPwv/qf8Iv55/Af+TPzs/TL83P0z/N39
Rvzq/WD89/10/AT+gPwM/oz8Ev6Z/Br+o/wh/qX8If6c/B3+lPwZ/qD8H/69/DD+yfw3/pn8
G/4n/Nb9tvuU/bP7kf1c/Pf9dP2d/lz+Jv91/jX/qf27/n78C/69+5j93Puq/an8JP6P/az+
+/3s/sT9zP4l/W3+gfwM/if81v0t/Nj9gfwL/vL8T/5H/YD+VP2I/h79aP7a/D/+yPw0/vr8
U/5L/YP+ff2f/nT9mv5L/YL+J/1s/hf9Yv4b/WX+Qf17/q79vP5s/iz/NP+j/4L/0f/3/n7/
x/3K/qr8IP5b/PD9AP1T/hj++P7r/nX/Kf+a/w7/i/8O/4r/Uv+y/5j/2/+D/87/+f59/zT+
CP+B/Zz+/PxN/qL8Gf55/P/9nPwU/hz9YP7A/cH+Gv72/tn90P4d/V/+a/z2/Uf83/3J/C3+
kv2k/iD++P4w/gH/6f3X/qb9sP6v/bT+A/7m/mn+Iv+W/j3/Yf4e/9j9y/45/Wz+2vw1/vT8
RP6E/Zj+QP4I/83+XP/2/nX/zP5b/4r+M/9t/iL/g/4v/6/+Sf/O/lv/2f5i//T+cv9R/6j/
DAAYABQBtQAmAlcB9ALRAVQDCgJbAw4CVAMKAoQDJgL/A28CmATKAhAFEQM8BSsDIwUcA9YE
7wJfBKcCqQM7AqoCowF/AfEAZABJAI3/yP8S/4D/7f5q/xL/f/9u/7b/3//4/xkAHADY//T/
CP94//T90/4Y/VH+0/wp/ir9W/7N/bv+Z/4X/9L+V/8b/4L/UP+i/2L/rf80/5H/zv5T/2f+
F/9E/gH/fP4j/+b+Yv84/5L/Qv+Y/wn/dv+t/j//S/4F//D9z/6e/Z3+Yv16/j79ZP4d/VH+
2Pwm/lP82f2x+3b9OPsw/S/7Kv2M+2H9+/uj/Rv8tv3R+4n9YftH/T/7Mf2m+3D9bPzl/Rn9
S/5S/W3+Fv1K/rv8FP6Z/P79y/wc/ij9Uv5u/X3+hP2J/nT9f/5f/XP+Xf1y/nH9fP6W/ZP+
yP2w/uX9wv7E/a7+S/1l/pz8/v0f/LP9P/zF/R39Sv5v/hP/rP/P/2oAQACaAFwAcABDACgA
GADb/+n/g/+0/xn/dv+n/jH/Kv7n/o39if7J/BT+CPyh/aj7af33+5f93/wh/uD9uf5b/gH/
Av7M/g79O/4X/Kf9nvtf/cv7ev1g/NP9+vwu/kP9Wf4i/UX+rfz+/SD8q/3B+3L9uvtt/Qj8
m/18/OD93PwZ/gj9M/4C/S7+4fwa/sD8Bv60/P/91vwS/kL9U/7//cT+8f5T/+n/5v/HAGkA
lAHjAGUCXwEvA9YBuAMnAr0DKwI6A9wBcwJlAdABAwGUAd8AxAH8AEMCRwH2ArEBuwMmAlUE
gQJqBI0CywMuArEChwG/AfYAkAHZAD8CQgFSA+UBEwRWAh0EXAKkAxQCKQPLAQwDuQFGA9sB
jQMFAp8DEAJ7A/oBRQPaASIDwwEcA8ABLgPKAU0D3QF2A/QBpQMQAtoDMAIjBFsCiwSYAgMF
3wJXBRADTwULA90EyAI9BGgCzgMmAsoDIwIdBFUCdQSIAosElQJWBHQCBQRGAs4DIwK+AxoC
wAMbArkDFgKhAwgChAP3AWUD5AFCA88BFQO0AeYCmQHQAooB5wKXATEDxAGeAwUCDgRGAlsE
dQJsBH8COQRhAsoDHgI7A8kBtwJ7AW0CTwF9AlgB3gKRAVAD1AFsA+UB5QKVAdUB9ADGAFIA
bAAcACYBigClAnABJQRUAuoExwLKBLUCLgRZAqsDCgKEA/MBowMFAtADIAIFBD8CXwR1At0E
wQJGBf8CTgUEA+gEyAJeBHUC/gM9AtgDJgKgAwUCDQOuASMCIgEwAZIAhwAuADEA+/8CAOD/
xP+7/2n/hv/3/kH/af7t/rz9hv4V/ST+yfz2/RL9Iv68/Yj+LP7L/tT9lv65/O79ifs6/Q77
8fyD+zj9bPzC/Qf9H/7p/A3+QPyp/YP7Of3/+uz8uPrB/JH6q/yO+qn8x/rM/C37Cf2G+z79
lvtI/V77Jv0c+wH9Fvv9/Ez7Hv2E+0D9hftB/UT7Gv3b+t38bvqd/Bn6avz++Vv8UvqN/DP7
E/1j/Mn9Wv1b/or9ef7U/A7+pPtZ/an6xPxf+pr80vre/KL7W/1d/Mr9sfz8/Yb84/0E/Jf9
hvtM/Xj7Rf0T/KL9If1E/gj+zv4p/uH+Vv1l/v77mf3g+u/8k/rC/D37Kf2a/Pf9OP7v/qb/
yf99AEkAgQBOAM7/4//i/lb/Zf4O/67+Of9v/67/8f/6/5//y/+H/iX/T/1s/q/8Df7r/DL+
vv2w/qT+Of8u/43/Kf+K/5X+M/+c/Z/+rvwR/lD82/3T/Cr+9v3X/vH+bf8G/3n/Gv7w/tz8
Mf4s/Mr9a/zx/Tj9a/7V/cj+1f3J/mX9h/4B/U3++/xJ/jz9cP57/Zf+k/2k/o79ov6G/Z7+
ev2X/mH9if5Q/X/+fP2a/gX+7P6//lr/Pv+n/zT/ov+x/lX/Iv4A/+/94v4l/gP/dP4y/3f+
NP8M/vX+cP2Y/gv9XP4n/W7+vv3J/nX+Nf/R/mz/f/47/5D9r/6E/A/+AvzC/XP8Bv6y/cL+
Cf+P/7D/9P9K/7j/I/4H///8Wv6U/Bz+Fv1p/hr+A//e/nn/yP5q/8D9z/5K/PD9N/tN/S/7
SP1J/PD9/f3z/nf/1P8hADoA8/8dAFn/wv/Y/nf/pv5Y/6f+Wf+f/lb/bv43/xH+Af+K/bH+
1vxE/gz8zf2E+3z9qvuS/an8K/4k/gv/U/+//4P/3f+M/kn/8PxU/ob7fP3u+iL9Vvtg/Xf8
DP7H/dP+uv5j//P+hv9m/jH/af2b/ov8Fv5B/Ov9lfwd/if9c/6E/ar+kf2y/qX9vf4k/gj/
C/+R/8//BgDA//3/n/5Q/9z8Rf5h+2P96vob/Z/7h/0U/WT+kv5G/4H/1P+e/+b/C/+O/zb+
D/+n/bn+vP3F/mT+Kf8s/5//fv/R/yH/mf9g/ib/1P3S/uf93P58/jX/EP+M/yH/lv+T/kH/
tv2+/vz8Tv6m/Br+svwi/v/8Tv5r/Y/+2v3Q/if+/v4f/vn+q/2z/vb8SP5b/Or9L/zP/X78
/v0D/Uz+V/1//kb9c/7t/D7+n/wP/pT8Cf7I/Cf+9vxB/tH8K/5H/Nn9hftm/ej6B/23+un8
/voT/Yv7Zv0O/LP9TPzZ/T/80f0V/Lf9Bvyu/TX8yv2T/P/96Pwy/gT9Qv7i/C7+sPwQ/q38
Df74/Dn+cf2B/tv9wP4K/tv+B/7a/gn+2/4z/vL+ev4c/6z+Ov+o/jb/dv4Y/zz+9f4E/tT+
tf2l/jP9Vv6b/Pz9TvzN/Z78/f19/YH+av4O/9H+S/9+/hr/zf2v/lz9bP6X/Y/+af4L/27/
pv9GACYAzAB2AA8BnQAkAakAJQGpADUBsgCFAeEAKAJCAegCtAFYA/cBHgPTAT8CTgEYAZ4A
FAAEAGX/m/8H/2P/8v5W/zz/gv/p/+n/rQBdAAIBkACJAEcAcf+h/2z+Bf8e/tX+mP4f/1L/
jv+i/73/XP+S/9j+RP+U/hz/uv4x/xL/Zv9R/4v/Zf+W/2b/l/9k/5b/Sf+G/wH/W/+z/iz/
qv4n/wf/Xv+O/63/1//Z/7n/x/+F/6j/wP/L/6UAUwDrARUB9wK0AWQD9AEwA9YBmgJ9Ac0B
AgHNAGoAqP+9/7T+K/9a/vX+yv42/7f/xP+OAEUA2ABwAH4AOwDA/8n/8P5O/0/+7v4G/sL+
Ov7h/vH+Tv/p/+L/rQBWANgAbwBnACwAxP/L/2T/k/92/5z/w//L//T/6P/j/97/rv+//4f/
p/+H/6j/rP+9//L/5/9bACYAzwBrAA8BkADQAGsADQD3/yj/bv+s/iX/6/5L/7L/wP9xADMA
rABVAFAAHgC0/8H/Sf+C/1D/hv+7/8b/RgAYAKsAVQDBAGIAlABHAF0AJwBaACYApgBRAA4B
kAAwAaQA0ABrABgA//+L/6n/pv+5/3gANwCKAdsANAI/AQoCJgEmAZ8ABADy/yX/bf/a/kL/
LP9y/+//5//aAHEAjgHcALsB+ABEAbEAXAAnAH3/ov8b/2j/bP+Z/1AAHwByAc0AgAJsAVID
6QHiAz8CPQR1AnEElQKUBKkCxATFAh0F+wKrBU8DSwavA7IG7AOGBtEDmAVFAxUEXwKCAm8B
fgHVAGEBxAD/ASEBuwKSAfcCtQF3AmgBgwHYAK8AWgBoAC8AqABVABABkwAzAagA7QCAAG4A
MwAJAPj/9P/q/yAABABMACAAPgAXAO7/6P+T/7H/c/+f/6D/uv/f/9//1P/Y/17/k//K/jr/
of4i/zX/ev9HAB4AKAGjAD4BsACBAEEAif+u/xX/af92/6L/ZAAwAEcBtwCoAfAAcwHQAOMA
fABGAB4A3f/g/9T/2/80ABQA1gB0AFkBwgBfAcYA3AB3ACgADgDQ/9n/IAAIAPQAhwDUAQwB
WQJbAWICYAECAigBXQHFAJMATgDm/+f/v//Q/20AOADSAQwBQQPmAegDSgJmA/wBDwIxAasA
XQDa/+H/sv/J/+P/5/8hAAsAdQA+ACEBpABFAlIBpQMkAsYE0QI7BRYD4wTiAuoDTQKoAo4B
dwHZAJ0AVwAvABYAIAANAEEAIQBmADgAgQBIAJYAVACoAF4ApQBdAHwARQBFACQAOAAdAHwA
RwD5AJEASQG/AAkBmQAtABgAGv90/1/+Bf9g/gb/HP92/0IAJABjAdAAGwI/ASkCSAF5Ad4A
QQAlAAb/af9e/gf/kP4l/2D/oP8xAB0AgQBNAEIAJwDT/+X/of/I/9D/5P8kABYATwAwADUA
IAD+/wEA3//t/+z/9f8MAAkAIgAWACEAFgATAA4ABAAFAOz/+P+6/9r/YP+k/+f+XP9//h7/
Yv4O/77+RP93/7L/KwAeAF8APADd//D/+P5n/1n+CP99/h7/Sv+Z/xIAEAAkABkAav+s/3/+
IP8m/uz+pv44/4j/vv8OAA0AyP/k/+/+Y/8T/uL+rv2k/tD9uf5I/gD/1/5W/1L/n/+P/8T/
Z/+s/9v+WP8u/vL+2v3A/iL+6v7Y/lf/cf+y/3j/t//v/mX/Q/4A//P9z/4n/u7+qv48/y3/
iv9//7v/m//N/4//xf9j/6r/J/+G//n+bf/x/mf//P5u/+X+YP+U/jD/Qf7+/l3+EP8s/4r/
ZwBGAGEB2wCAAe0AuwB3AKX/0//t/mT/2/5b/zL/jv91/7b/Yv+q/xf/ff/x/mf/NP+O/97/
9P+uAHEAUAHQAIsB8wBuAeIAVwHUAMEBEwHsAsUBlgTDAgsGoAOZBvQDHgarAywFGwObBMUC
7AT0AusFjAP2BisEjweHBKoHlgSNB4UEZwduBBkHQARxBtwDfgVMA6sEzgJsBKkC1QTnAoQF
TwPtBY0D2wWCA4QFTgNeBTcDsQVpA2AG0QP/BjEEIAdDBJkG8gOhBWADrQTOAjMEhgJuBKkC
PgUkAz8GvQMEBzIEWgdlBF4HZwRMB10EUAdfBGIHaQRdB2YEKQdIBNwGGQSlBvgDrQb9AwMH
MQSdB4sEYQgABScJdgW9CdAF8AnuBaYJwQXoCFEF8Ae9BBIHOASfBvMD0AYSBKMHjwTNCEAF
xQnTBQMK+AVZCZIFFwjTBOMGHARPBsQDfwbfAyYHQwTcB7AEZQgABcoIPQUfCW8FVgmQBUYJ
hgXaCEUFOAjlBKkHkQRnB2kEeAdzBLYHlwT2B70EFAjPBPgHvgSUB4QEBgcvBJgG7QOiBvMD
QAdRBCUI2QTHCDgFvgg0BR0I1QRTB1sEzgYNBLIG/APSBg8E9wYlBA4HMgQhBz0EKQdCBAcH
LgSmBvUDMAavA/AFiAMTBp4DdAbXA7cG/gOfBvADQwa5A/YFiwP1BYsDMwavA2oG0ANbBscD
/gWQA3MFPgPpBOsCgwSvAmQEnAKmBMMCRwUjAwcGlQOABtwDXwbKA6oFXQPABNICHQRxAv8D
XwJGBIsCrATHAvEE7wILBf8CGgUHAz8FHgODBUYD0wV2AwYGlAPwBYgDdgU+A6UEwQK8AzcC
FgPVAfwCxgF3Aw8CSwSNAhQFBAN2BT4DPgUdA3kEqAJwAwkClAKHAUkCWwGvApcBhgMXAkoE
jAKSBLgCSgSMArUDNAIzA+UB8AK+Ad4CswHfArUB+wLEAVUD+gH+A18CwgTUAjsFGwMbBQgD
ZQScAnMDDQKvApgBWAJjAWMCagGXAooBuAKdAaECjwFVAmIB7AEjAYwB6wBcAc4AcwHbANkB
GQGLAoMBdQMNAmoEoAImBQ4DYAUxA/cE8gIWBG0CIwPdAXkCeAEzAk4BIAJDAQwCNwH5AS0B
JwJHAcACogGdAyUCQwSIAjwEhAJ1Aw4CVAJjAWwB1wAfAaoAeQHgAD4CVAEeA9oBywNBAgkE
ZQKxAzEC3AKyAfEBJwFxAdsAqgH9AHYCdgFXA/sB0gNFAsADOwJaA/4B/ALGAeQCtwEVA9QB
cAMLAs0DQwL+A18C3ANMAlYD/AGMAoMBzAESAWgB1QBzAdwAuwEHAfQBKQH8AS0B6gEkAewB
JgEBAjEB6wEkAWoB1wCAAEwAi/+5/wf/bP84/4n//f/+/+AAhQBlAdQAUQHIAL8AcQAPAAkA
of/H/6H/xv/6//3/ZQA7AI4AVABQAC8Axf/d/z//jP8S/3L/c/+s/1IAMQBZAc4ACgI3Af4B
LwErAbEA/v///y3/hP9E/5D/OAAhAHEB2wAoAkgB/gEvATIBtgBhADkA+//9//r//f8LAAcA
//8AAP//AABaADUAGAGnAN0BGwEjAkYBuQEGAeQAiAA0AB8ABQADAEsALQCvAGgA3wCFAMcA
dwCFAE8ARwArADAAHQBIACsAggBOAKoAZgCJAFEAAwACAEr/k//H/kb/1f5O/3X/rf9HACoA
4wCHACgBsABOAcYAkwHwAPIBKAEnAkgB+QEtAYgB6AAvAbQAKgGxAFcBywBSAckA6QCLAFIA
MQANAAgAbwBDAE4BxwAqAkoBgwJ+ATgCUQGCAeUAxwB3AEoALAAoABgAUAAwAJ8AXgDkAIgA
+gCVANcAgQCVAFgAVQAyACIAFADu//X/sv/R/47/vP/B/9r/XwA5ACkBsACaAfQATwHGAE8A
LgAg/3v/af4N/37+Gv9B/47/RAApABYBpgB5AeAAWgHNAMcAdwDn//H/+f5k/0f++v4T/tr+
bf4R/y//g/8NAAgAtABsAOAAhQBuAEIAdP+t/0L+9/5B/V7+vvwQ/rb8C/7l/Cb+/fw2/vz8
Nf4l/Uz+u/2n/rX+O/+c/8T/5f/w/1b/nf9B/vb+SP1i/vf8Mv5t/Xf+Tv7+/hT/dP9Y/5z/
A/9q/0r+/P5//YP+8/wv/tn8If47/Vr+7/3G/qn+NP8T/3P/+v5j/2j+Df+k/Zn+DP0//uT8
J/4m/U7+lP2Q/t79vP7X/bf+hf2G/hX9Qv65/A3+mPz5/b/8Ef4f/Ur+iv2K/rv9pf5+/YL+
4Pwk/i38uf3D+3r9wPt5/eD7i/28+3b9Mvsk/aP60Py0+tr8uPt0/VL9af6p/jT/+/5k/zb+
8P79/Db+Jfy1/ST8tP3V/B3+rv2f/jL+7v45/vL++/3N/tj9uP4Z/t/+v/5B/2j/pv+M/7r/
0f5M/3j9fv5K/Mv9HPyw/Sj9T/7I/kb/4f/u/7j/1v99/hn/GP1G/m784P2y/An+Zf10/tb9
tv61/aP+Pv1d/ur8K/4K/T7+l/2S/lb+A////mf/Xv+g/1v/nv8G/2v/kv4n/0H+9f42/u/+
aP4O/7H+Of/0/mH/Kf+B/1H/mP9d/57/Qv+P/yP/ff9L/5T/4//u/68AaAAKAZ4AaQBAAOL+
Vv85/Vn+YvzY/cX8E/73/cv+Kf+A/8X/3f/Q/+T/qv/N/5X/wf+O/73/eP+v/13/n/91/67/
2P/o/1QAMwCHAE8AMwAfAHX/rf+i/jD/Av7Q/qb9mv53/X/+Vv1r/h/9Sf6v/Af+8fuW/Q77
D/1i+qj8RfqX/LD61vwn+x79I/sc/YP6vvy/+Uf8dvkd/Ob5Yfyx+tf8Nfsn/ST7HP2v+tf8
SfqZ/Cf6h/wr+on8GPp8/O35Y/zw+WX8b/qx/Hf7Tv3O/Bn+I/7l/jL/hf/G/97/x//f/1L/
mP/K/kj/u/4//3X/rf+9AHEA6QEjAV8CaQEFAjQBUwHJANcAgAC/AHEAwgBzAHcARgC0/9L/
pv4y/5H9jv6d/Pz93fuL/XD7Sf17+1D9BPyi/b38D/4f/Ur+1fwe/vv7nP0R+xH9l/rH/K36
1fwS+xL9XPs+/U77Nv3y+v/8f/q6/DX6jvxG+pn8wvrh/JD7Xf1y/OT9IP1L/nL9e/6B/YT+
mv2T/v39zf6v/jj/gP+0/ywAGgCMAFQAqgBlAJ4AXgCKAFEAdwBIAGwAQABkADwAXQA4AGEA
OQB+AEoAwQBzAB8BrABuAdoAeAHfACkBsQCuAGcAXAA2AGgAPgDCAHMAFgGmABoBqADHAHYA
WgA1ABkADwAgABMAVQAzAJUAWADVAH8AIQGsAHsB4gDMAREB7gEmAc8BEgF9AeMAHwGqANQA
fQC3AG0A3gCDAEkBxADeARwBXAJnAXoCeQEcAkEBcwHdAOgAiQDQAHwAOAG6ANkBGQFHAloB
QAJWAccBDwEWAaUAawBAAOP/7/9r/6f/1/5P/wj+0/4F/Tr+/vuf/S77Iv2x+tn8fPq4/Gv6
r/xs+q/8gvq7/LT62vzu+vz89/oC/aX60PwF+nH8Z/kU/CH57PtO+QT8pvk5/MP5S/xp+RT8
wPix+y34WvsU+Ez7nvic+6/5PvwD+wj9RfzI/SD9S/5X/Wz+7Pws/ir8uP2N+1r9bvtJ/cj7
fv03/MD9VfzS/QP8ov19+1D9FfsU/e36/Pza+vH8pfrQ/D36k/zK+U/8d/ke/Er5Avwo+e77
//jW+9b4vvu6+K37nfib+074bfu79xb7Hfe3+uD2lPpf9976ffiJ+7X5Qvxg+qn8NPqN/F/5
Dvxl+Hv7yfce+9D3Ivt0+IP7evkf/ID6uvwc+xj9C/sN/Vf6ovxv+Rn87PjL+zr5+vtQ+p78
w/t7/Qz9Pv7T/bT+FP7b/vv9zP69/af+gf2D/l79b/5V/Wv+Vf1p/jr9Wv7u/C3+f/zr/Q78
p/27+3f9d/tO/R/7Gf2j+s/8KfqH/P/5bvxJ+pr81vru/DH7JP3++gb9QfqW/GL5Efzp+Mj7
HPnn+9v5WPyt+tb8GvsW/ef69/wy+oz8YfkQ/Ob4x/sK+dv70PlS/AX7Cf1c/Nb9lv2R/nv+
GP/d/lP/n/4v/8/9sv7A/BH+5vuP/ZH7Xf22+3P98vuY/eT7j/14+0796fr6/Ib6vvxp+q38
dvq1/JT6x/zR+ur8QPsu/cn7f/0T/Kv90fuD/RP7E/1D+pb80flS/Mj5TfzV+VX8rfk9/F/5
D/xR+Qf8zPlR/Kn60/xk+0L9l/th/Ub7Mf3N+un8d/q2/E/6nvw6+pH8P/qU/JD6xPw9+yv9
+PuZ/Tv8w/3K+3/9CPsM/bz63/xt+0j93fwi/in+6P54/hf/nf2V/i38uf3++gX9kvrG/Nr6
8fxn+0T9yft+/dP7hf2b+2T9Vfs6/Tb7J/1f+z/9zPt//Uz8zP2h/P/9ovz//WH82f0t/Lr9
WvzW/Qf9O/78/c3+x/5F/wD/aP+J/iH/o/2Y/r/8EP41/L79D/yo/Rb8rf0Q/Kf9Avyh/Tr8
wv36/DT+K/7p/kv/lf/L/+D/df+s/6H+L//r/cP+sf2h/tb9tv7s/cP+p/2b/iH9Sv7B/BH+
4fwk/nr9gP4v/uv+g/4d/zP+7v5e/W7+cfzh/fb7mf1H/Mr9WP1r/qz+Nv+c/8T/tf/U/wn/
bf8O/tj+VP1p/iH9S/5d/W7+vf2o/gT+0v4N/tf+w/2s/hn9Rv4p/Lf9Rvsw/eL69fw2+yf9
CPyk/cH8Ev7i/Cb+X/zY/an7a/1Q+zf9nvtk/WT82/0v/VP+hv2G/jr9Wv52/OX9rftu/Wr7
Rv0A/J/9UP1o/sX+RP+l/8r/k/+//8T+Rf/R/bT+N/1Y/gz9Pv4Q/UH+Dv0//hH9QP5J/WT+
v/2o/jL+7f5U/gH/E/7b/q39nf5x/Xv+h/2I/tP9tf4o/uj+Yf4J/2v+D/8m/uf+jv2M/tT8
Hf5y/OL92fwg/gf+1P5j/6L/GAAPALv/1/+R/iX/W/1t/r78EP7W/B7+Rv1h/pv9lP6d/Zb+
X/1x/h39Sf4Z/Ub+gv2F/lv+Bf9U/5n/6v/y/67/z/+6/j7/tP2j/mn9df4e/uL+Vf+b/zIA
HQApABgAb/+q/7P+Ov95/hj/t/49/+3+XP+s/jb/8P3G/hn9R/6h/P79yfwX/oz9i/6g/i//
jf+8/9j/6P9M/5X/Nv7v/kf9Yv4r/VH+/P3O/iP/fP/A/9v/W/+e/zL+7f4Q/UD+qvwF/kH9
X/6T/ib/IAATAHYB3wBKAlwBiwKDAW8CcwFoAm4B4gK3AeUDUQLsBO0CLAUTAz0EhQJyAnUB
swBrANT/5v8BAAEAuQBvADwBuwAcAakAbABAAIj/uf/Y/lD/q/41/x3/ef8ZABAARgHCABYC
PgEgAkMBXgHQAEUAKQBr/6f/Iv98/1X/mv+w/9D/+P/7/yQAFQA6ACIAJwAYAML/2////mf/
FP7c/mL9cv44/Vn+rv2f/p3+Lf+//9n/ugBvAD0BvAAUAaQAZQA8ALn/1f+p/8z/XgA4AFsB
zgDGAQ4BLgG0APD/9//w/l7/0v5N/1r/nv+p/8z/Fv91/+b9wP4V/UT+ff2D/gb/bP+xAGgA
ZwHWANwAgwCu/8//x/5G/6T+Mv8R/3L/fP+x/3n/sP8A/2j/Uv4A/8P9rP6j/Zf+G/7g/h3/
eP8xABwApQBjAAIAAQB2/hf/4Pwk/jj8wP3b/CH+Of7y/k3/lf9f/6D/iP4h/4L9hf4R/UL+
ff2B/oD+G/+E/7b/AQAAALH/0f+x/jn/gP2D/sz8Gf4a/Uf+VP4B/8n/3/+TAFcASAAqAED/
jv9D/vj+4/2+/gn+1f4x/uz+8v3H/m39eP4L/T/+EP1C/kv9ZP5V/Wn+/fw2/n786v0+/MT9
dPzl/QP9Of6i/Zj+GP7d/lX+A/9a/gX/Lf7q/uv9w/7V/bX+Hf7i/r3+QP9j/6H/wv/b//L/
+P9iADoAbwHaAOwCvQEsBHoCjwS2AhwEcgJ4Aw8CTQP3AbQDMwIdBHIC7gNWAhQD1AELAjgB
YAHRACwBswAaAagA4wCHAJgAWwCKAFIA1AB+AB8BqgDgAIQA3v/s/3v+Gf9x/Xv+S/1k/gz+
1v5A/47/VAAyAO0AjQAEAZoAyQB3AIIATgBkADsAfQBLAK0AZwC4AG4AhgBQADgAIQAdABIA
ZAA8AOkAiwA/Ab4ABgGdAEsALQB+/7P/Iv98/1n/nf/M/+D/9v/7/5z/xf/8/mb/ov4x//P+
YP/e/+z/6QCLAH0B4gBTAckAkQBWALD/0P8l/33/JP99/5L/v/8nABgAnQBdANMAfQDVAH4A
0wB+AAUBnACPAe0AXQJnASED3AFzAw0CFQPWASUCRgEWAaUAZwA9AFIAMQCzAGoAKwGyAHEB
2gBoAdcAFQGlAIYATwDg/+3/gv+1//f/+v+aAfQAGwRxAoAG3QOdB4gE+gYmBCQFDwNeAwAC
pgKTAQ4D0gHGAz4C4wNQAiMD3gESAjwBhwHpAOkBIwHgArYBngMmAnwDEgJuAnIBBwGcAAsA
BwD8//3/wwB0ANEBFAF4AncBWwJnAaMB+ADZAIEAhwBQANkAggCKAesAEwI7AQkCNgFjAdQA
eABHANf/5//3//r/5ACIADACTgEZA9cBBAPLAfYBKgGqAGUALAAbABoBpwAsA+MBaAU3A84G
CwQHBy4EhwbiAxMGnAMfBqMDnQbvAykHQgR1B28EdwdwBFMHWwQ2B0kESQdVBKwHkARmCP4E
QgmBBcYJzwWDCagFbggCBQ4HMwQzBq8DVAbDAz4HTwQ5COQEjwgXBRUIzgQzB0gEkgbpA6IG
8QNgB2IEcAgEBVYJjQXDCc4FrwnDBWAJkwUvCXYFRgmEBW8JnAU3CXoFVQj0BAAHKgTlBYED
uAVmA58G7wMSCMwEOwl+BY0JrgUVCWcFWAj2BN8HrQTkB7AEUgjyBPQIUwWdCbcFIQoFBlUK
JQYdCgMGjAmtBeIISAVqCAEFOwjlBCgI2gTtB7YEYAdiBJwG7wPtBYYDnQVXA8kFcQNZBsYD
/QYnBFMHWwQUBzUEQwa5A0QFIgOoBMQC2AThAs0FcwMXBzcEHwjUBIwIFQVbCPgExQegBP4G
KAQlBqcDXgUwA+kE6wINBQED2AV7A/wGJwTnB7MEHgjTBI4HfgSfBvAD7AWFA90FfANlBs0D
DQcxBEUHUwTPBg0E7wWHA0MFIANCBSAD4gWAA5MG6QOwBvoDEwacAzYFGQPjBOgCeAVBA5sG
7QNzB20EYQdkBH0G2wN3BUADAAX5AjoFHAO6BWcD9gWLA7wFaQNOBSgDDwUCAy4FFQOKBUsD
3AV7A+wFhQO1BWUDTAUnA+EE5wKqBMYC0QTdAlEFKQPiBX8DHQajA80FdAMmBRADrQTIAtgE
4gK3BWYD2AYSBJEHfwRvB2wEZAbNA88E3AJKA/QBaAJuAYECfQFuAwoCmAS8AjMFGAPFBNcC
hwMZAk0CXgH1ASoBvgKhARMEbAIEBfsC/QT3AjcEgQJ3Aw4CbwMLAkIEiAJ0BT4DUwbCA2AG
ygOLBUwDJQR3ArQCnQHJARABxwEPAa4CmQELBGgCIgUNA1wFMAOiBMECeQMRAqQCkwGqApYB
gwMXAqEEwAJNBScDFQUFAwIEYwKSAocBZAHUAOwAjAA/Ab0AEgI7AfwCxgGmAywC9QNaAvAD
WAKzAzMCVQP7AfYCwwHIAqcB6gK8AVID+QG8AzoC3QNMApIDIAIKA88BmgKMAXcCdgGTAogB
sAKZAZQCiAE3AlEBwwEMAWkB1wBLAcUAaQHWAKYB+wDPARQBsgECATsBvACaAFwANwAiAGkA
QAA2AbkAPgJVAf8CyAE6A+sBFAPUAeUCuAHlArkB/ALGAegCugF/AnwBzwETAQoBnwBkADsA
BQACABAACQCMAFMAPQG8AIkB6gDDAHQAvP5A/xr8rv0R+nn8m/kz/Lj63fxs/OD9dP18/jH9
Vf4F/KL95vr3/Jn6yvw1+yb9N/zA/fb8Mf4N/T/+ePzm/X77Uv2I+sD8B/pz/EL6lvwq+yD9
RfzI/eX8J/6e/P79m/tk/Yf6vvwi+oP8rvrW/MX7fP2Z/Pr9hfzv/Xz7UP0M+nb8BfnZ++74
zPu0+UH8rPrU/BL7Ev2O+sT8e/kf/LH4p/vs+Mv7MPqL/LH7cf1a/NX9kvte/bH5QPzR9yL7
Bveq+qv3DPsz+fT7mvrK/CD7Gv20+tr85/lg/HH5Gfy5+UT8qfrT/NH7g/22/Av+Dv1A/tn8
IP5F/Mf9j/tc/e76/PyA+rv8Vfqi/HT6tfzg+vX8jftb/WT83P1G/WH+E/7a/rf+PP8x/4X/
iP+5/8T/3P/o//H/AQAAABEACgAeABIAGwAQAPL/+P+O/73/6/5b/x3+4P5K/WP+pvwB/mD8
2P2J/PH9Df0//pr9k/7H/a7+SP1i/iv8uP3q+vr8JfqF/EL6lfwf+xn9Mfy7/d38Iv7l/Cj+
ivzx/UX8yP11/OT9F/1F/uX9wP6J/iH/y/5H/6H+MP8b/t/+Uf1o/mr83v2X+2D9CfsM/ej6
+fw++yz99PuX/cr8F/5p/Xb+f/2E/vr8NP4r/Ln9t/t0/Sz8uf2U/Y/+R/+S/1IAMQASAAoA
qP40/+D8Jf6X+2H9N/so/Zv7Y/1T/ND9//w3/mv9d/6F/Yb+Tv1m/u/8Lv7C/BL+Ef1C/tX9
tv6E/h7/cP4R/2D9cP7n+5D9DfsO/YX7Vv0Z/Uf+zf5J/5D/vf8Q/3D/1f21/sf8F/6N/PP9
KP1P/iz+6v4o/4D/5f/w/24AQQDmAIkAbwHaABICOwG5Ap8BNgPpAVQD+wH/AsgBYQJpAc8B
FAGMAesAhgHoAGIB0wC+AHEAiP+5/yr+6P4+/Vz+OP1a/gn+1f4h/3v/xP/d/3n/r/9L/v7+
1/wf/uT7j/0B/J/9LP1R/t/+Vf9iADoAMgG2ADcBugCyAGkA8P/3/xn/d/8x/u3+T/1m/rb8
DP7A/BH+iv2J/sX+Rf/J/+D///8AAEf/k/8j/uT+XP1u/nv9gP5d/gb/RP+Q/2j/pv+R/ib/
S/1l/oT87v3T/B3+AP7Q/if/f/9l/6T/f/4b/xL9Qv4Z/K/9P/zE/WX9dP7F/kX/dP+t//v+
Zv+b/ZP+Gvyu/VH7N/2t+239+Pwy/oX+H/+e/8X/5v/x/4X/uP/j/lf/UP7//s79s/4w/VX+
aPzc/ar7bP1Y+zr9nvtk/Ur8zP3k/Cb+CP08/q38Bv4h/LL9vft3/av7bP3O+4H98fuX/ev7
k/20+3L9UPs2/c366Pw3+o/8rPk9/FT5CfxQ+QX8pfk5/DH6i/y8+t78GvsW/T/7K/1B+y79
Qvsu/VT7Of1s+0b9bPtI/UT7L/38+gX9vvrf/Lf62/wA+wb9k/te/T78xP2t/Ab+kPz0/dL7
hP3L+uj8J/qG/In6wPwE/KH93P26/un+W/9e/gj/e/zo/XX6tPy4+UT82/rx/D/9Xf6K/7n/
kABWAAoABgCU/ij/JP1N/nb85v26/A7+pf2a/qL+MP8d/3n/xf5E/7f9o/56/Oj9pPto/XP7
TP2n+2v9xft9/Yv7Wv0z+yb9L/sk/cn7ff3U/B7+4v29/oT+Hv+S/ib/F/7e/kD9Xf5S/NH9
uvt1/eH7jf3a/CH+OP7x/kb/kv+K/7r/IP97/53+Lf97/hj/rv44/8T+RP9s/g//0v20/nr9
gP7H/a3+m/4s/3X/rv/X/+j/kv+//9P+Tf/2/cr+Zf1z/nf9fv4//vX+Xv+f/x8AFADr//P/
zP5J/479jP4t/VL+EP7Z/qv/zv/vAI4AGwGoAC0AGwDC/kL/e/2A/qz8Bf5o/N79sfwI/mn9
dv44/vH+j/4k/xr+3/4p/VD+lfz4/Q79QP50/hT/1//n/0UAKQCZ/8P/jP4j/w3+2P5m/gz/
Fv91/1r/nf/h/lX/Dv7Y/pP9jv7n/b/+Af9o/3UARQC8AQgBagJwAVcCZAGrAf0A0gB9AE8A
LwBpAD8A+wCWAIwB6wCpAfwAMAG1AFkANQB+/7L/6/5a/8j+Rv8a/3j/uP/U/z4AJQBAACYA
i/+6/3P+FP+g/Zb+nf2V/mb+Df9b/57/vf/Y/0H/jv8+/vT+X/1v/ir9UP7E/az+8P5f/0wA
LQBwAdsABwI1Ad8BHQEJAZ0A3//s/9v+Uv9f/gj/iv4h/zr/i/8zAB4AKgGxANkBGgERAjoB
xgEOATABtQCqAGUAewBJAKQAYgDqAIsAAgGZAMoAeABVADQA4//v/7X/0//3//r/oQBgAF8B
0gCoAfsADQGgALD/0f9P/v/+1f23/rD+OP9hADoA4QEeAVQCYwGvAQEBlABYALj/1f9r/6j/
hf+4/8v/4f8gABMAdABFAJcAWgBDACgAb/+q/3j+F//k/b/+5P2+/h7+4v4E/tL+Y/1z/rH8
CP6b/Pv9b/15/rf+PP+e/8b/kP++/6/+OP+3/aT+bv15/ij+6P6Q/77/4ACGAFMByQCNAFQA
5f5Y/z39W/6A/Oz9IP1K/r3+P/92AEYAeQHhAHQB3ACfAF4Acv+s/1X+A/+Q/Y3+Xv1v/uL9
vf79/mb/QQAmAB4BqgBKAcQA4QCFAEkALADl//D/3P/q/zEAHgDcAIIAuwEHAXYCdwGcAo0B
+gEuAfQAkQBRADAApwBjANMBFgEXA9YBywNBAu0DVQIVBG0CywTZAvMFiQPmBhoEFAc1BH4G
3QOnBVsDAAX6ApYEugIkBHYCfQMTArQCmwH5ASwBXgHQAMwAeQBBACcA7P/0//j/+/9ZADUA
ywB4ABkBqABhAdIA4wEeAZwCjQEZA9cBzgKrAacB/QA/ACYAZv+k/33/sv8qABoAvABwAMgA
dwBuAEEADQAIANr/6v+//9n/r//Q/+f/8v/MAHkAeAJ4AXQEpwL2BYwDaQbPA9wFfAPqBOwC
TQSPAm4EowI7BRwDSAa7AwQHKwT/BikEIQakA8ME1QKTAyACHQPaAV8DAQK7AzgCagMIAiYC
RgF1AEQAU/+Z/3T/rP/AAHIAbAJwAYsDGwKdAyYCswKbATIBtQCN/7v/Nf7u/pH9jf7x/cb+
Qv+P/+kAiwDvAScBnAH2AAkABQAu/uv+Xf1u/mL+Cf/1AJEA5wNSAuMFgAM3BrIDRQUiAyIE
dALsA1UCEwUEAxEHNATCCDUFAAlaBVkHXwRXBJQCNwG4AD7/jf/+/mb/CgAGAEsBxADCAQwB
LgG0ABUADABG/5L/PP+L/83/4f9zAEQAwwB0ALgAbgCbAFwAqABkAN8AhAAOAaEAEQGiAOMA
hwCYAFsAPAAkANf/6P92/67/Nv+J/zT/hv9b/53/fP+y/2f/pf8f/3r/3/5U/+f+Wv9J/5P/
z//i/xwAEQD1//n/Xf+f/6D+Lv8p/uj+Q/73/uH+Vv+c/8T/5v/w/3j/rv+R/iX/4/2+/hH+
2v4f/3r/UAAwAJ8AXwCB/7X/X/1v/lr7PP2O+sT8Y/tD/Vr9bf6C/7X/BQGbAJIB8ABMAcYA
iwBTAKP/yf/R/kz/Lf7q/rP9of5B/V7+tvwL/hz8sP2++3j98PuV/cr8F/71/cn+0P5L/+D+
Vf86/vL+ff2B/mn9dv5L/vz+v//Z/+8AjgAsAbMAZgA8ACf/f/8w/u3+Av7Q/qH+MP+2/9T/
wAByAEUBwgD4AJMA2f/p/13+CP9G/WL+OP1Y/jX+7/57/7H/AQABAEX/kf/O/bH+0Pwb/j79
Xf74/mL/2QCCAKUB+gDwAI4Ab/+q/1f+A/9l/gv/av+m/3sASACrAGUAqP/M/9r9uf4l/Lb9
bftH/SD8sv0D/tL+SwAsAPsBLQGCAn4B+AEsAQgBnQBmAD0AWAA0AJcAWgCmAGMAPQAlAHz/
sv/P/kv/rP42/0//lv+VAFgA8wEpAacClAEiAkUBhABOALP+Ov/a/bn+iv4i/y0AGwBtAdkA
QgHAANb/5/9l/gz/Kf7o/kT/kf+uAGcAIAGrADoAIwDQ/kv/IP7i/tD+S/9uAEEA3AEaATEC
TgFKAcQAwv/b/3f+F/8c/uH+4/5W/2kAPgDcARsBZAJsAa0B/wAyAB0A//5n//L+YP8RAAoA
gQHlADQCTwG6AQcBggBOAHL/q/8m/3//nv/G/2cAPQANAaAAWgHNAEcBwgDYAIEAFAANAB7/
ev9D/vf+1v22/vv9zf6U/if/U/+Z/+3/9P8gABMAzv/j/wf/bP8c/uD+kf2N/tf9uP76/mP/
eABHAJMB8ADIAQ8BHQGpABQADQBO/5b/K/+C/6f/zP9wAEMAEgGkACoBsACGAFAAUv+Z/wr+
1f5M/WT+f/2D/qL+MP9HACoA1QEXAdACrQH1AsIBSgJdARoBqADy//j/Y/+i/7X/0/+fAF4A
ZQHUAGIB0wCAAEsAUP+Y/5n+Kv+7/j//cf+r/yQAFgBqAD4ARQAqAAAAAADc/+v/8//4/0sA
LADoAIkArgEAAU0CXwFWAmMBlAHxAGEAOQBq/6f/Pv+N/9j/6P+yAGoAQwG/AGgB1wBiAdMA
bwHaAIIB5QBoAdYAIQGrAPsAlgBRAcgAHAJCAd4CtQEFA80BcQJ0AZMB8AAXAaYAVwHLAB8C
QwHnAroBPwPvARAD0QGKAoMB+QEsAZAB7gBnAdUAegHhAKoB/QC9AQkBiAHoAA8BoQCIAFEA
NwAgADYAIABoAD0AjgBVAIcAUQBbADYAKwAZAAkABQD1//n/5v/x/9v/6v/j/+7/+v/8/xcA
DQAoABgAOAAiAF4AOACqAGUADwGhAGwB2ACfAfcAnwH3AH0B4gBYAcwAUQHIAJAB7gAqAkkB
CwPPAdcDSQIDBGMCKwPiAXYB3gCq/83/zP5J/3H/q/9FAcIAKAPgAeQDTwLzAsEB2QCBAML+
Qv++/an+K/7p/qL/x/9ZAc0AoQKQASgD4QHzAsEBOAJRAU4BxgCZAFwAbQBBANcAgACJAeoA
9gErAbABAQG+AHEAq//O/yv/gf+p/8z//QCWAHcCdwFOA/cBBgPMAcMBCwE8ACQAX/+h/9T/
5v+cAfQADwRqAjcGswNRB1oEIwc+BAYGlAOZBLwChQMYAjMD6AHBAzsC1wThArUFZAN9BUMD
zQNCAi0BtAD+/mb/lv4p/0cAKQD0AsEByATYAnwEqgJCAlcBlf/A/xX+3P5z/hT/GAAOAMAB
CgFkAmwBwQELAUkALAC//kL/1P21/uH9vP7V/k//KwAaACUBrgBDAb8AoABeAOn/8v/e/+z/
sABpANgBGAF8AnoBGgJBAecAiQCT/7//tf47/2f+DP9Y/gT/M/7t/vb9yv71/cn+h/4g/7H/
0f8PAaEABQI0ASACQgFPAcgA/P/+/8X+RP8l/ub+Pv70/tX+Tv+P/77/KwAZAJEAVwC1AGwA
ewBJAM//4v/b/lL/Jv7m/kr+/P6B/7X/SwHFAJcCiwF5AngB3wCEAMT+RP+S/Y7+If7j/g8A
CgD+AS8BigKCAVMByQA+/43/wP2q/tD9s/5F/5D/LwG0ALkCnwHCAzwCrwTKAsgFcAO1Bv0D
vwYEBIAFRQNbA/8BQQG/AA8ACQAHAAQA5QCIAEACVwHEAz0CCAX+AmUFNQNDBIkCrwEAAb/+
QP8a/Ub+1P22/ogAUQBuAwoCigSzAg4D0QHc/+v/6Pwo/uP7j/03/Vj+6//z/1kCZQE1A+kB
QQJXAVgANQDf/lX/3v5U/18AOQBiAmoBjAMcAhYD1QFQAcgAYP+i/2P+Cv+x/jn/wv/b/64A
ZwDTAH0AJAAVAAP/av/r/cP+Sv1k/nP9e/56/hj/CwAHAFsBzgCCAeUALAAaAP79z/5Q/M/9
L/y7/YD9g/75/mT/If97/4r9iv5I+zL9HfqA/Bv7Fv3B/av+ZgA9AH8B4wC9AHAAF/92/9b9
tv6R/Y7+BP7S/pb+Kf8J/23/kf++/0sALADXAIAAkgBWAEv/lP+1/aL+8/ww/qr9nf5N/5b/
gQBMADIAHgCX/in/B/08/u38LP6Y/ir/8QCOAEMCWAGIAekAG/94/3/86/1j+0H9kvz2/Yn/
uf+8AqABZgSeAoQDFwJqAD8ArPwG/kr6m/yD+r38Cf09/jMAHgAHAjUBkgHvAHb/rf9Y/Wv+
qvwE/qr9nP5l/6T/jgBTAGcAPQA4/4j/6v3C/mP9cf4B/tH+iP+5/0EBvwBOAl8BEgI6AYIA
TABd/gb/0fwb/sn8F/5G/vr+VQAzAMwBEQEqAkoB4wEfAdIBFAFWAmQB7wK/AcICpAF0AdwA
n//G/1r+Bv9Q/gD/Nv+I/xwAEAA8ACQAlP+//8n+Rv+N/iX/Hf95/xsAEADsAI0AHQGqAJ0A
XQDB/9r/DP9v//D+X/+D/7b/ZgA9APwAlgDWAH8ADAAIAC3/gv/H/kf/9P5h/07/l/9k/6P/
Jf9//wD/aP9o/6X/XQA3AF8B0QDZARkBoAH3AAgBnQCFAE8ALgAbAL7/2P/v/l7/8v3I/mf9
dP7y/cb+o//I/8wBEQFbA/8BhAMYAjwCVQFFACoAwP5C/4P+Hf+j/8n/ZQHUALwCoQH6AsYB
PQJVAU4BxwD9AJcAeAHgADkCUwGKAoIBLwJNAZsB9ABzAdwA4wEeAXMCdQGBAn4B4wEfARoB
qADYAIAAUwHJACQCRwG3Ap0B1QKuAcICpAHPAqsB7AK9AdACrAFyAnQBVwJkASwD4wEDBfsC
AgcrBPIHuQQ8B0wEfAVCAwsEZwLmA1IC6gTsAhAGmwNTBsMDgQVHA0gEjAKLAxsCrQMwAmoE
oAIfBQwDUAUqA/EE8AJUBJQC6wNWAvQDWgJSBJICmgS8Al4EmAJ/AxQCXgJpAZ4B9wCzAQMB
ggJ/AXsDEQIDBGMC7ANVAocDGAJHA/IBaQMHAsoDQQIiBHUCPwSGAhgEbgK8AzgCPwPuAbsC
oAFlAm4BeQJ4AQIDyQGrAy4C2gNKAgcDzQEpAbEA0v5N//P8L/5f/Nf9Vv1r/mD/of97AeEA
pQKTAVgCZQHSAHwA5/5Z/3z9gf79/Db+Ov1Z/rP9ov4P/tj+Xf4H/9r+Uf+H/7n//////8f/
3f/Y/lD/zP2x/n79gv5I/vv+qP/M/4QATwAOAAgAaf4O/5/8/v3t+5X92fwg/uj+Wv/8AJYA
EAI6AcoBEQGWAFgARP+Q/5T+J//e/lX//P/+/2wB2ACiApABVwP8AZ0DJgLKA0ECIARzApwE
vgIBBfoCHgUKAxMFBQM2BRkDxgVvA5wG7QMvB0UEBQctBCkGqgM5BRsDDQUCAx8GpAMWCM8E
8wnrBZ4KUAalCbwFgQd1BFYFLANGBIoCwQTUAlUGwwMACMEE3QhFBacIJAXHB6AE/AYmBM0G
CwRAB1AE1wepBO4HtwQyB0cE6gWEA+oE7AIUBQQDqwb3A/8IWQW2Cl4GtwpfBg0JYgX9BigE
JgaoA0cHVASiCbsFigvcBq4L8gYXCgAGBwjGBPQGIgRzB24E9AhTBU8KIQagClIGwgnNBSUI
1wR+Bt0DZgU2Ay8FFQPPBXMD4AYWBNEHpQQ6COQEEwjMBLsHmASUB4IEvQeaBAEIwwQnCNoE
HgjTBOgHtARoB2cEZwbOA/cE8wK+AzkCvgM6AooFTAOPCBcFLwumBskLAgfuCecFuwYBBBUE
bQJZA/0BjQS1ApMG6QMRCMwERQjrBD0HTgSVBVEDHgRyAocDGQI0BIAC8wWKA/AHuAQLCWAF
kAgXBcwGCwT8BPYCcASkApMFUQOOB34E6AhMBaYIJQX/BikEKAURA1oElgLpBOsCKAapAwEH
KwTjBhgEHQaiA4UFSAO6BWgDpwb1A5wHhwTnB7MEXwdjBHcG1wPWBXgD6QWDA5YG6gNvB2sE
7we3BMcHoATwBiIEtgVlA5YEugIcBHECjgS1ArEFYgPcBhUEVQdcBMoGCgSQBU4DWwSXAtgD
SQJCBIgCVQUrA3kG2QMYBzgE2AYSBN8FfgPFBNcCPwSGAowEtQIgBQwD9wT0AosDGwJ7AeEA
RgAqABIBowCLAxwC9wWMA5QG6QMNBQEDwgKkAYgB6QAXAj4BnQMmAqsExgKWBLoC2ANKAlMD
+gFAA+4BBwPMAf8BLwFLACwA4v5V/8X+RP8gABQAJgJHAZMDIQKBAxUCzQESASP/fP+w/Aj+
l/th/WP82f2b/iv//ACVADQCTwHWARcBjgBUAJz/xf/L/+H/7wCOADQCTwHYArEBtQKcARwC
QQFpAdcAsgBqAOL/7/8A/2f/UP7+/jj+8f4F/2r/sABpALcCngFHBIwClwS7AmQDBAI9AbwA
Of+J/0z+/P61/jv/+P/7/08ByAAjAkUBLQJLAWoB2AAlABcACP9t/+v+XP8uABwAJwJIAXAD
CwIQA9IBfwHlAFoANQDOAHoASgJcAeoCvAFoAdYAsv45/1D9Z/4L/2//CgPPAVEGwQNdBskD
SwP2AZr/w//l/cD+1v5O/xkBpwD/AsgB4QNOAg0EaALJA0EC3QKzASYBrwBi/6P/7f5d/3cA
RgAmA98BDAUBA70E0AJzAnQBxf/d/1T+Av+j/jD/HAAQAMUBDQHjArcBHgPaAVsCZgHJAHgA
FP9z/yf+5v6k/jH/TgAuACwCSwE8A+sBLQPjAXsCegHWARcBjQHsAHQB3QA6AbsA1wCAAIsA
UwCUAFcA3gCEAA8BoQDDAHQA8v/3/wj/bP+z/jv/ZP+j/+sAjAB+AnsBPgPuAdsCswHTARUB
AAGYAOkAiwBZAcwAogH4AEABvgBQAC8AZ/+k/yT/fv/Q/+T/PgG9AOQCuAHwA1cClAMhAoIB
5gBo/g7/zvuA/SD7Gv2h/P/9DP9u/4MATwACAAEAEv7a/i/8u/1u+0n9tPtz/SP8tP0b/LD9
z/uC/dj7h/1m/Nz9/Pw1/uP8Jv7o+5H9hvq//IT5JfxW+Qr89Plo/AD7B/38+539afzd/eH7
jf1p+qz8nPib+4f39vr09zj71vlV/DP8vv3c/br+Nf7w/oH9hf5x/OH9gftT/bv63vzw+Wb8
Gfnl+4L4jPuP+JP7ZvkT/NT67fxq/N39sv2h/mL+Cv96/hj/NP7v/vn9y/4b/uD+mv4q/wz/
b//e/lP/vv2o/ur7kv0q+of8VvkK/M75Ufw3+yf9oPz+/SD9S/5g/Nn9wvri/Af52/vS9yL7
VPfY+m/36PoJ+EP7Ifnq+5X6yPzc+4n9Ivy0/fj6Av3T+Lz77vac+mT2SfpB98z6bPh/+5L4
lfs+98z6RPWe+QD03vg/9AP5svXf+VX32fpe+Hf7ufit+9P4vPsK+d37UvkH/Gb5Evwb+eb7
lfiW+xv4Tvvi9yz79vc4+0n4avvK+Lf7V/kK/L35RvzN+VH8kvku/EX5APwo+e/7TvkE/Ib5
J/yQ+Sz8TfkE/NP4vPtY+HP7HfhP+1/4d/tL+QP8zPro/GD82f0q/VD+ePzn/Wv6r/wZ+Ez7
8Pad+rb3Evvb+Vn84PuM/W384P1R+zf9lvkw/K34pftV+Qn8Nvsn/T79Xf5z/hT/ev4Y/5/9
lf6H/PD91vuG/f/7n/0l/U7+Ev9y/zoBuwDxAr8BtQM1AmEDAgIoAkgBeQBIAOf+Wf8V/tz+
jv4j/1cANACzApoBVASSAiAEdAIHAjUBJv9+/wH9OP5o/N395Pwm/kL9YP66/A7+i/tZ/bX6
2vzt+vz8+fuc/dn8If62/Av+kPtc/SX6hfxO+QX8WfkM/Pv5a/yt+tX8F/sV/SL7HP3W+u78
RfqX/Jf5MPwZ+eb7J/nu+/X5Z/xn+0T9Iv1L/rD+OP+u/8//6P/y/3D/qv+w/jj/Wv4E/wD/
aP+XAFoAQwJYAcoCqQF4AeAAvf5B/wD8oP2o+tP8FvsU/XL84/1h/XH+Gf1G/uP7jf3H+uX8
q/rT/K/7cP1G/WH+pP4y/zz/jP/Z/lH/jf2L/qb7af23+UP8j/iT+8v4t/ti+qr8dPzl/bL9
of5A/V3+X/tA/Vn5C/yo+KL77/lk/Hb85f2n/jP/GP93/5L9j/41+yb9rfk9/Aj6c/zs+5P9
5P3A/nf+Fv9E/WD+Rfsx/QT6cfxh+qj87fuV/Uj9Yv40/Vb+f/tT/Rn55ftf99/6OvfJ+qX4
oPvj+vb89fwx/gr+1v7B/ar+Nvy//Q36dvw2+F/7lff++nr4h/tv+rH8cPzi/X/9gv5G/WH+
SfzK/Xj7T/2S+179i/zy/Zv9k/6+/aj+ifzx/ZH6xfwn+e37c/ka/Jb7YP15/hf/iQBRAN0A
hADe/+z/3v5T/wr/bf98AEoANAJQAf0CxwFdAmcB2wCBAHX/rf/J/kf/tf47/5v+K/8A/s/+
7vws/t/7i/1X+zv9j/tc/Vj80/1Q/Wb+Gf7d/oD+HP+C/h7/Nv7v/rD9n/4C/Tn+Q/zG/ZX7
YP0i+xv99voA/ev6+/zM+uj8h/q//GT6qvzb+vD8LPy5/QH+0P6J/7n/BQADAG//qf+S/ib/
g/4d/8D/2v/EAQ0BSwP2AUUD8QGWAfIAQP+O/7T9ov7c/br+gP+z/2wB2QBBAlgBYAHRAFT/
mv93/X7+9/wy/g/+2f7i/+7/HgGrAPAAjwB//7P/tP2i/oD87P1L/Mz90vwc/pH9jf4c/uH+
S/78/iL+5P7M/bH+lv2Q/tn9uf6x/jj/tf/T/xIACwAa/3f/7Pwr/p36zPyI+Sf8Ufqg/Gv8
4P1//hr/c/+s/zL/hv+L/iL/Xf4H/+r+W/+z/9P/CwAHAKX/yv+7/j7/xP2s/hn9R/7V/B7+
6vwq/j/9Xf6o/Zz+6v3D/tD9s/5i/XH+7/wt/tz8Iv5P/Wf+Ef7a/rX+O//s/lz/rP41/xr+
3/5a/Wz+iPzx/eD7jP3A+3n9cfzh/b39qP7e/lT/7f5c/6H9l/66+3X9m/rK/E77Nv2m/Zv+
QwAoAHkB4ACAAEwA8v3I/lX7Ov0V+nv8u/rd/ND8G/5Z/53/ZwHWAIACfQGZAosBDgI4AW0B
2QAvAbMAawHXAK8BAQFQAckA+f/7/xj+3/68/BD+yPwW/jb+8P77//z/wQByAPL/9/8q/uj+
uvwO/q38Bv7//c/+wf/b/+AAhQDnAIkALAAbAFf/m//b/lL/v/5B/9X+Tv8M/2//Zv+k/9D/
5P/8//7/n//G/7/+Qv/c/bn+iP2I/u79xv6d/iz/6v5a/4X+H/+//aj+N/1Y/l/9cP4n/uf+
MP+F/xUADQCKAFIASgAsACD/e/9C/V/+g/tV/Qr7DP1f/Nj9yP5G/5UAWgBvAEIAb/4S/xn8
rv0X+xT91fuG/WX9c/53/hf/j/4k/x/+4v63/aP+Rf1g/kr8y/23+tz8cvkZ/Kn5O/y5+3T9
nv4t/7wAbwAQAaIA6v/0/1v+Bv8+/Vz+pvwC/j38w/3R+4P9mvtj/ev7kv3P/Br+Bf7T/jf/
iP8ZAA8AcwBEABgADwAp/4H/Ov7x/h7+4v5Q/5j/ZAHUADkD6gGvAzECeAJ4AT8AJQAe/uH+
6vwr/tT8Hf51/Xz+JP

This is an interesting, and annoying, noise!  I will pass this along as an
option for the students to explore and let you know if we find anything
useful.

Thanks for all the comments on this thread -- there is a lot of good
stuff!

Allen



>This is a multi-part message in MIME format.
>--------------070103070707040001090005
>Content-Type: text/plain; charset=windows-1252; format=flowed
>Content-Transfer-Encoding: 7bit
>
>
>Allen:
>
>Please find attached a noise that is the bane of my existence, my 
>"Ahab's Whale".
>
>The sample includes the breath of the speaker (who *did* inhale), and it 
>comes from here:
>
>https://www.youtube.com/watch?v=Aju752l0tP4
>(the noise starts at minute 1 and goes all the way to the end)
>
>Feel free to add a chapter on how to remove it.   ;-)
>
>TIA,
>
>-Ramon
>
>
>
>
>On 1/21/2015 8:29 AM, AllenDowney wrote:
>> Last week I posted blog article on Chapter 4 of Think DSP, which is
about
>> noise:
>>
>> http://thinkdsp.blogspot.com/2015/01/think-dsp-chapter-4-noise.html
>>
>
>--------------070103070707040001090005
>Content-Type: audio/wav;
> name="WhatKindOfNoiseIsThis.wav"
>Content-Transfer-Encoding: base64
>Content-Disposition: attachment;
> filename="WhatKindOfNoiseIsThis.wav"
>
>UklGRqRIAgBXQVZFZm10IBAAAAABAAIARKwAABCxAgAEABAAZGF0YYBIAgDl//D/sv/R/6L/
>yP+2/9T/5P/w/xoADwBGACkAZwA9AIMATwChAGAAvwByANAAfADMAHoAsQBpAIcAUQBaADYA
>LAAbAP3////V/+f/vP/Y/7D/0v+i/8n/dv+u/yb/fv/R/kz/qf40/87+S/8z/4f/pP/K/+v/
>8//u//b/v//a/4H/tf9X/5v/VP+b/3v/sf+3/9X/7f/z/////v/u//X/2//o/+z/9P8xABwA
>hQBNAKMAYABRAC8Ai/+6/4X+H/+E/YT+uPwM/iv8uP3C+3r9Xvs+/fX6AP2Y+sj8VPqg/DL6
>i/wW+nz86flh/Kz5PPyI+Sf8uvlF/Fz6pvxH+zH9Ivy0/av8BP7i/CT+BP06/k79Zf6t/Z/+
>2/26/ov9i/6+/BH+uft1/dn68PxQ+p78Evp6/O/5ZvzJ+U/8k/ku/FL5CPwF+dr7svip+2T4
>e/sz+F37JvhV+zb4X/tK+Gv7XPh2+3H4gvuV+Jf7xfiz+/T4z/sW+eT7Mfn0+1H5Bvxz+Rv8
>h/km/Ir5KPyL+Sn8oPk1/ML5SvzE+Uv8d/kc/OT4xPtd+HT7Tfhq+9T4u/un+Tn8RPqV/Ev6
>mvzO+U/8M/nz+934wPvl+MX7G/nm+zr5+Psf+ej71Pi7+3z4iPs3+F77G/hO+zj4X/uG+I37
>7PjK+zz5+vtZ+Qz8R/kB/Cv58fsv+fL7VvkK/If5KPyj+Tj8nPk0/Hr5IPxQ+Qf8J/nt+/z4
>1vvV+L/7tfit+6L4oPuS+Jb7gPiM+3H4hPtz+IX7jviU+7n4rvvh+MX79vjS+/v41fsE+dv7
>HPnp+zn5+ftL+QT8S/kE/EH5/vs5+fr7Pvn7+075Bfxs+Rf8mvkz/Nj5WPwO+nf8IPqA/AD6
>bvzH+Uz8q/k6/NH5Ufw5+o/8rPrV/PH6/Pzn+vf8pvrQ/F36pPwv+on8JfqD/DT6jPxJ+pj8
>YPqm/HP6sfx/+rj8evq1/Gf6qvxc+qT8dfqz/Lj62/wR+xD9Uvs3/Vv7O/0v+yL9+PoB/d76
>8vz0+gD9Lvsi/Wr7R/2P+1z9l/th/Yz7XP2B+1X9g/tW/Zj7Y/3A+3r99PuZ/SX8tv1G/Mv9
>UPzQ/UT8yf0r/Lv9IPy1/UH8yP2l/AT+Sf1l/gD+0f58/hz/hf4g/xb+3/5z/X7++Pw0/tz8
>JP4R/UP+Vv1r/nH9ev5d/XD+Pf1b/jP9Vv5D/WD+Wf1s/mP9c/5q/Xf+gP2E/q/9oP7k/b7+
>B/7S/hH+2f4Q/tj+Gf7d/jL+6v5O/vz+Zv4K/3b+FP+F/h3/k/4l/5P+JP98/hb/UP79/iT+
>4/4P/tb+G/7e/jz+8v5i/gj/gv4c/5/+LP/B/kD/7P5b/x//eP9G/5D/U/+Y/0f/kv8s/4L/
>Fv91/xb/df8m/37/L/+E/xj/dv/e/lT/mv4t/3T+Fv9//h3/tP48//L+Yv8f/33/Nv+J/zn/
>jf8x/4f/Gf95//T+Y//N/kv/uP4//7P+Pf+g/jH/YP4L//X9zP6Y/ZP+lP2R/gj+1v7V/k//
>pf/L/zYAIQBoAD8ASwAtAPn//f+E/7f/Af9o/4r+Iv83/vD+C/7W/vH9x/7S/bP+r/2f/qT9
>l/6//af+9v3J/h3+3/4d/t7+Bf7R/v39zP4Z/tv+RP71/lr+A/9L/vr+Kv7l/hH+2P4M/tX+
>D/7V/gz+1f4O/tX+Iv7i/kb++P5g/gf/Yv4I/1T+Af9S/v/+ZP4K/3H+Ev9h/gn/R/76/lv+
>Bv/L/kj/d/+v//3///8JAAYAkv/A/+3+X/9s/hL/Kf7q/v/90v7E/a/+ff2F/lf9bP5n/Xf+
>m/2W/sb9r/7X/br+5v3C/hT+3f5d/gn/n/4w/7T+PP+Z/i3/bP4T/0X++/4o/un+GP7g/hz+
>4f41/vD+VP4C/1P+Av8f/uL+zv2y/p79lf6s/Z7+2/26/ur9wv63/aT+Z/10/kD9XP5d/W3+
>lv2P/q79nf6g/ZX+sv2f/i/+6f4Q/2//8f/1/2UAOwBNACsA4P/r/3b/q/85/4f/F/9z//L+
>Xf/F/kP/nf4r/3v+F/9Q/v7+DP7W/sr9r/64/aT+5P2+/i/+6v5a/gT/Rf74/gj+1f7U/bb+
>w/2s/sn9r/7R/bT+1f23/uT9wP4B/tL+HP7i/iP+5f4b/uD+Gf7g/i7+7f5D/vn+OP7z/gr+
>2P7f/b7+3P28/gD+0v4e/uP+Df7a/uH9v/7X/bn+J/7p/sz+Sv+L/7z/KwAbAKcAZAAdAawA
>oQH5AB4CQwFvAnMBjAKEAZ8CjwHaArMBQQPwAaQDKgKyAzMCQgPwAWsCbwFtAdkAkABVAAAA
>///B/9n/uv/V/8j/3v/J/97/rv/O/4H/s/9d/53/U/+Y/1//nv9n/6P/Wf+a/zj/h/8Z/3X/
>C/9t/wn/a/8A/2X/7v5b/+3+W/8j/3v/mf/C/zMAHQC7AG4ACAGcABkBpwAOAaAA/wCXAPkA
>lADvAI4A2gCBAL0AcQCiAGEAjwBVAHsASQBdADkANQAgAAgABQDc/+z/t//W/5z/xv+S/7//
>nf/H/7b/1f/L/+P/x//g/6T/yv9z/6//Uv+a/0//mP9q/6n/lP/C/7//2//a/+v/2f/r/7H/
>0/9i/6T/CP9u/8P+Rf+m/jT/of4x/4r+I/9J/vv+6v3D/pn9kv5w/Xr+af12/mH9cf5M/WT+
>S/1k/pD9jP4z/u3+Cv9t/8b/3P8ZAA4A+P/6/4z/uf8Y/3b/0f5L/8P+Q//j/lT/EP9w/zD/
>g/8v/4H/B/9r/8/+SP+l/jD/ov4u/8v+Rv8D/2j/NP+E/03/lP9d/53/ef+u/6v/zf/q//L/
>GgAOACQAFAAEAAIAyf/f/4z/u/9f/6H/UP+X/1v/nv98/7H/qv/N/93/7P8PAAoAOQAjAFoA
>NwBxAEUAiABSAKsAZwDjAIkAKAGxAGQB1gB5AeMAWQHQAAsBoQCtAGkAYwA+AEkALQBbADgA
>hQBSAKsAZwC6AHAArwBpAJsAXQCSAFgApQBkANMAfwALAZ8AKwGzACABrADhAIUAfgBMACAA
>EwDq//L/8f/3/y4AGwCCAEwAxAB0ANYAfgC2AGsAgABKAFsANABiADgAjABQALYAagC5AGsA
>hABMAC8AGgDq//D/3P/n/wMA//86ACAAVAAwADgAHwDz//b/pv/I/2v/pf9G/5D/Lf+B/xH/
>cf/0/l//1/5O/7z+Pv+Z/iv/cv4T/1P+Af9W/gL/h/4g/93+U/82/4j/cv+s/4f/uf+G/7r/
>g/+4/4L/tv92/6//VP+c/yT/f//+/mn/8v5i//f+Zf/z/mP/1v5R/6H+Mf9t/hP/UP4D/0n+
>/f5G/vz+Pv73/jz+9v5Z/gf/nv4v//X+Y/80/4n/QP+O/yP/ff8F/2z/F/92/2r/p//v//b/
>jwBVADsBuwDlASABfwJ7AfQCwAEwA+QBPAPrAT8D7AFoAwQCxAM7AjgEfwKJBK4CkQS1AmEE
>lwIjBHMCAwRgAvcDWQLLAz8CTwP1AXsCdgGAAeEArwBmAEAAIwArABgAOwAhADYAHwACAP//
>tv/T/4H/s/+A/7T/p//L/9H/5P/j//D/6f/z/wgABQBcADcA2wCDAEUBwwBcAdAACAGfAG0A
>QwDU/+f/b/+t/07/mv9X/5//Zv+n/2z/q/9q/6v/aP+p/2f/qP9p/6n/cf+u/4f/uv+r/9H/
>0P/n/9r/7P+4/9j/dv+x/y//hf8F/2z/Bv9t/yT/fv8//47/P/+N/yH/e//3/mL/2f5R/87+
>Sf/L/kj/w/5C/6T+MP9y/hL/Of7v/gL+z/7a/bb+xv2q/sb9qv7P/a/+2/23/t39t/7Y/bX+
>2f21/uX9vf71/cb+/P3K/v/9zP4e/uD+if4e/0//lP9XADIAXwHPACwCSgGoApIB5AK2AfQC
>wAHQAqwBZwJtAbgBBAHoAIoANQAgAMv/4f+s/8//u//Y/9T/6P/q//T/9v/8//L/+f/b/+3/
>vf/b/6r/z/+8/9n/6//4/xoAEgAlABoADwAMAPD/+f/m//P/+v8AABQADgAUAA8A+////9v/
>7P/E/9//vv/a/7z/2v+7/9n/wP/b/9H/5f/l//D/7f/0/+//9v8PAAkAfQBIAEsBwwBZAmMB
>UgP2AeADTALcA0oCWQP8AZcChwHgARoBYwHPACcBrAAVAaIABQGYAN0AgACkAF4AewBGAH0A
>RgCsAGIA5QCFAAABlgDvAIsAxgByAKUAYACfAFwAoABdAJQAVgByAEIASgAqADQAHQAzAB4A
>NwAhAC0AHAAZABAADAAIABoAEAA/ACgAZAA9AHEARgBlAD4ATQAxAEAAKQBNADEAdQBJALQA
>cAD1AJYAGgGsAA4BpQDLAH0AZQBBAP7/AwCx/9X/hv+8/3P/r/9s/6v/bf+r/3T/sP+C/7j/
>mP/E/7n/1//u//f/NgAhAH8ASwCrAGYAqQBlAIgATwBuAEAAggBMAMgAdAAUAaIAMAGyAP8A
>lQCbAFkAPAAgABEABgAnABQAYwA3AJUAVACcAFgAdwBCAEEAIwAeAA4AIAAOADwAHwBWAC8A
>VgAvADgAHgAgABAARgAnANEAewDIAQ0B+QLDARsEcALwBO4CZAU0A48FTgOcBVYDpQVdA6QF
>XAN3BUIDCAX/Ak4EkwJiAwYCawJ0AZIB8wD1AJYAmgBgAHoATQB2AEsAdwBLAHMASQByAEkA
>fwBRAJoAYQCxAG4AqwBrAHoATQAtAB8A4//y/7v/2f/A/97/5v/z/xMADQAxAB8APgAmAEUA
>KQBPAC8AWwA1AFkANABBACYAGgANAAcAAQAuABgAnABZADABsgDBAQcBMAJIAXgCcgGiAowB
>sgKTAYwCfQEkAkEBjwHnAAEBkwCtAGEAnwBZAK4AYgCqAF8AeABDACgAEwDO/97/d/+r/yb/
>ev/e/lH/u/48/8r+Rv8B/2j/Ov+L/07/l/87/4z/IP98/yD/ff9C/5L/df+x/6T/zf/E/+D/
>1//s/9r/7v/Q/+n/v//f/8D/4P/j//X/HgAZAFQAOAB0AEsAnwBlAA0BpgDYAR4B0AKzAZgD
>KALfA1ICpwMwAjID6gHPAq4BmwKPAXwCfQFVAmUBHAJDAeUBIAHDAQsBtAEDAa4B/gCvAf4A
>uQEDAcQBCgG/AQYBmAHtAFgBxwAfAaUACwGYAB4BowA9AbYAUAHBAFIBwgBIAbwAMgGvAAwB
>mQDaAHsAuABoAMoAcgAQAZwAZQHPAJQB6wCGAeMAVgHIADEBswAnAa0AJQGsABQBpAD7AJUA
>9QCSABQBpAA/Ab8ATwHKADcBuwAQAaUACQGiADMBvAB2AeQArAEEAcIBEQHGARUBzwEaAdcB
>HgHEARMBggHtABwBsACvAG4AVwA7ACIAGwAPAA8AHQAXAFIANQCqAGoAGgGsAIsB7wDoASYB
>HgJFASYCSQEEAjQBxgEPAYIB5QBFAcEADwGfANIAewCMAFAAVgAvAFEAKwCNAE4A7QCHAEEB
>uQBlAc4AZAHNAGcBzwCJAeMAvQEBAdsBFAHJAQkBlQHqAGoB0QBpAdAAjAHmALEB/AC4AQEB
>nAHxAHEB1wBRAcQARAG9AD8BuwAvAbMACwGeANsAggC3AG4AtgBuAOUAiwAzAboAhwHtAMoB
>EwH0AS4BGAJEAUYCYAF4An4BlwKRAYUChwE8AlsB1QEeAXoB6ABMAc0AVAHSAH4B6gCzAQoB
>6AEoARUCQwE5AlgBSAJfAToCVwESAkAB8AEqAQACMwFgAmsBFQPWAf4DYALqBOsCtgVjA1YG
>wQPQBgoENAdGBIsHeATTB6IEDQjEBDkI3QRVCO4EXQjyBFEI6wQ7CN8EKgjVBC4I1QRICOUE
>cQj9BKAIGwXXCDsFFglgBVsJigWbCbEFwgnIBcYJywWwCb8FlAmvBXwJoQVkCZIFQAl+BQ0J
>YAXPCD0FnQggBYYIEwWSCBwFtQgxBdwISAXwCFUF4ghMBboINQWMCBsFbggKBWsIBwV0CA0F
>dQgOBWcIBwVaCP8EZAgEBYgIGQWvCDAFsAgxBXYIDQUNCM8EmQeKBD0HUgQABy4E1gYTBKsG
>+QN8Bt0DTwbBAzEGrwMoBqoDLgarAzwGtANNBr4DWwbFA18GxgNaBsMDWAbCA2gGygOTBuQD
>1AYKBBQHLwQ6B0YEOwdHBCEHNgT+BiIE5gYUBOQGEgT0BhwEBAcmBAMHJgTlBhQErAbyA2oG
>zAM5Bq8DLgapA0wGuwOEBt4DwwYEBPYGIwQQBzIEDAcxBOsGHQSxBv0DdAbZA0QGvAMrBq8D
>KQauAy8GsgMwBrMDKQavAyAGqgMbBqcDGAamAw8GoQP2BZID0wV8A7AFaAOcBVsDkwVWA4YF
>TgNiBTgDIgUSA9oE6AKgBMUCigS2ApkEvgK2BNACyATZAsUE1wK1BM0CrATHArUEzALLBNcC
>2QTgAtME3ALABNACsgTIArUEyALMBNUC6QTmAvkE8AL1BO0C4wTiAsoE1AKvBMMClASzAnkE
>ogJdBJMCRwSGAjkEfgIsBHYCGwRtAgwEZAL/A10C+QNZAvcDWgL2A1gC8ANVAugDUgLoA1MC
>7wNXAvgDXQL9A2AC8wNaAtsDTgK8AzoCmAMmAnUDEQJMA/kBHgPfAfECxQHLAq0BswKgAagC
>mQGdApMBigKIAW4CdwFKAmEBKwJPARUCQQEBAjYB6wEoAdQBGgHIARIB0wEYAfQBLAEhAkcB
>TgJgAXECdAGRAoYBsAKZAcgCpwHKAqcBowKQAVcCYgH2ASgBmQHwAFEBxQAgAagAAQGVAO8A
>igDmAIUA5QCEAOkAhgDtAIkA8wCMAAIBlQAfAaYAQwG8AF4BzABiAc8ATAHDAC8BsQAhAakA
>LgGxAFABxgB0AdsAjQHsAJsB9ACoAfsAuAEGAcEBCwG3AQYBlwH0AHUB4ABiAdQAYQHVAGQB
>1wBeAdIAVAHOAGcB2QCtAQIBGAJBAXcCewGdApIBhgKFAVYCaAE8AlgBQgJbAVUCZgFSAmQB
>MAJQAf8BMgHRARcBqgEAAYEB5gBUAcsALQG0ABsBqQAbAagAHQGpABEBoQD4AJIA3QCCAMgA
>dQCuAGUAiQBPAGYAOwBgADYAgwBLALcAagDMAHcAkQBTAAYAAQBN/5P/jP4g/9f9tP4y/VL+
>ovz9/Tj8vv0A/J395vuN/cb7e/2J+1f9NPsl/e/6+/zN+uj8wPrh/KX60fx2+rX8Ufqg/HL6
>s/zs+vz8nvtl/UL8x/2v/Ar+8fww/i79VP5+/YT+1/26/iT+5/5X/gb/gf4g/7P+Pf/b/lT/
>zv5L/3P+Fv/X/br+Lf1V/qf8Bf5V/NP9JPy2/f/7oP3d+439yfuA/cn7f/3S+4X91vuG/cr7
>gP26+3X9r/tv/bH7cP27+3f90fuD/f/7nf1a/NL95/wm/pb9j/5C/vX+w/5B/wb/af8Y/3P/
>Dv9u//v+Yv/i/lT/r/42/03+/P65/aT+B/05/lz81P3X+4b9g/tT/VT7OP09+yv9Pvsq/Vj7
>O/2G+1f9s/ty/cL7e/2p+239d/tO/UP7MP0c+xn98voB/bX62/xi+qr8D/p5/Nf5V/zB+Ur8
>v/lK/Lv5Rvyu+T/8pPk4/Kf5O/yz+UH8vflH/Lz5SPy8+Ub8yPlN/OL5XPz2+Wj87/lk/Mn5
>TfyZ+TH8d/kd/Gz5Fvxx+Rn8ePkd/Hz5H/yE+SX8kvkt/KD5Nvyi+Tf8lfkv/ID5I/xw+Rn8
>YvkR/FT5B/xC+f77N/n3+0D5/Ptf+RD8ifko/Kz5PPzG+Uv81/lV/OL5Xfzk+V780vlT/Kn5
>O/xy+Rj8Ovn4+w/53/v2+ND79fjP+wv53Pst+fH7TfkE/F75D/xn+RT8efkf/KP5N/zU+Vf8
>6vli/Mz5UfyS+S78dvke/KT5OfwX+n78kvrI/Nf68fzU+u78ovrQ/Gj6rfww+oz88fln/Kz5
>Pfx4+R/8evkf/Kn5OvzY+Vb80flS/Ib5Jfwj+en75fjF++z4yfsk+en7WfkJ/Gn5E/xV+Qf8
>O/n3+y/58PtA+fr7ZPkP/JD5Kfyz+T78v/lG/LX5Qfym+Tj8qPk6/Mf5TPzx+Wf8/vlv/NL5
>VfyB+Sb8Qfn/+0T5AfyP+S789Plr/D36lvxW+qT8W/qn/HH6tfyb+s78svrc/JT6yfxD+pj8
>9vlq/PD5Zvw9+pT8tfrb/BD7EP0i+xr98Pr9/Kr60/x4+rX8cPqw/I/6wvzD+uD8+PoB/R77
>GP0m+xz9EPsO/e/6/Pzd+vH85fr2/Pr6A/0I+wv9//oG/ef6+PzW+u781frt/N368vzl+vb8
>5vr4/OH69PzY+u78yPrm/K361fyL+sD8dPqz/HL6sfyC+rn8lfrF/KX6z/y5+tr82Prs/AL7
>Bf0i+xj9IfsY/Qf7CP31+v78DvsN/Vr7Ov28+3X9Bvyi/ST8s/0n/Lb9Lvy7/Ur8zf11/Of9
>l/z8/aj8Bv62/A/+1Pwi/gf9QP5A/WL+ZP14/nH9gP52/YT+hf2L/qH9nP68/az+yP2z/sT9
>sf7B/a7+yf2y/uD9vv7+/c/+IP7j/kL+9f5k/gr/f/4Y/5D+If+u/jP/BP9l/6r/yP+NAE8A
>ZAHOAN4BFQHWARIBbAHSAOIAgQBxAD0AJwASAPH/8v/A/9X/kf+7/2z/pf9R/5b/N/+H/xv/
>d/8H/23/Cv9v/yH/fP86/43/SP+V/0r/l/9V/57/fP+0/7r/2v/3//7/FgAQAA0ACgDh/+//
>p//N/27/q/8+/43/EP9y/9z+Uv+f/i3/X/4H/zT+7f4p/uf+N/7v/kT+9v48/vP+Mv7s/kr+
>/P6i/jH/J/+A/5f/w/+2/9f/e/+z/xD/df+x/j3/dv4a/1z+C/9Q/gT/Uv4F/2v+FP+U/iz/
>sP49/6v+Of+G/iL/X/4L/0n+/v48/vX+G/7f/tz9uf6Y/ZD+cP13/m/9df57/Xr+d/13/mj9
>bv5t/XH+nP2L/uH9tP4W/tP+JP7b/hv+1f4X/tT+IP7b/iP+3P4G/s3+0v2v/qb9l/6c/ZL+
>pv2Z/q/9oP6z/aP+xf2x/gH+0/5Q/gX/hv4n/4T+Jv9b/g7/Pf79/k7+Bv93/h//iv4q/3T+
>Hf9P/gf/TP4D/3j+Hf+w/j7/yf5M/7r+Qf+o/jT/s/47/+H+Vf8N/27/GP9z/wr/a/8G/2j/
>H/92/0v/j/9w/6X/gP+v/4X/s/+Y/7//tv/R/8n/3P/D/9r/q//N/5j/w/+c/8X/qv/O/6//
>0v+i/8n/hf+6/2v/qv9X/5//RP+T/zP/if88/47/gv+3/x4AEwAFAZsABgIzAeYCtgF6Aw4C
>vwM1AtUDQgLsA04CKARxAo4ErQICBfICVAUjA1MFIgPzBOgCSASEAoMDEALTAqgBUQJbAfsB
>KQG+AQgBjQHsAF4B0gA4AbwAJAGxACQBtAAvAbwANgHCACcBuQD8AKEAwQCAAIcAXQBVAEAA
>KQAmAPX/BQCv/9v/Y/+v/yX/h/8B/3H/8v5m/+j+X//a/lX/0f5O/9r+Uf/8/mP/Kv99/1T/
>k/9x/6P/j/+0/7j/y//t/+v/HwAJAEQAHQBYACkAagA1AIEAQgCOAEsAfgBEAFAAKAAQAAMA
>2P/j/7b/0f+i/8f/kf++/4P/tv+H/7v/rf/S/+z/+P8rAB4AWAA5AHEASACGAFUAnABhAKQA
>ZgCQAFkAYgA8ACwAHAAJAAYA+v/9/+3/9P/Y/+f/xv/a/8j/2//j/+v////6/wEA+//y//T/
>AAD8/1wAMwAKAZsAywEPAUoCXAFVAmQB+QEuAXIB3wD8AJsArQBtAHoAUABUADoANQApAB4A
>HAARABUABQAOAO7/AQDO/+3/rP/Y/5L/yP99/7n/Zv+r/0j/l/8g/3///f5n/+b+WP/j/lT/
>8f5Z/wP/Y/8H/2T/9f5X/9X+Qv+2/i//qP4m/6r+J/+w/ir/pv4k/4j+E/9i/v3+Pf7o/h/+
>2P4F/sr+8P3A/ur9vv78/cn+Gf7e/i3+7P4l/un+Cf7a/vH9zv74/dP+H/7r/kn+Bv9Z/g//
>Q/4C/xT+6P7p/c3+0v2//tj9wf71/dH+Hf7p/kT+//5Z/gj/Vv4G/0r+/f5E/vj+T/7+/mD+
>B/9k/gf/V/7+/kr+9v5X/v7+gP4V/6X+LP+q/i//if4c/2D+BP9V/v7+Zf4K/2/+EP9R/v/+
>Ff7c/uX9wv7v/cn+K/7s/mf+Ef9z/hn/Tv4E/yL+6v4j/un+Xv4M/7P+P//5/mf/Gv96/xr/
>ef8O/3D/Av9o//X+X//n/lT/2v5M/8j+QP+x/jL/mP4h/43+Gv+j/if/4P5K/yn/dv9Q/43/
>N/+A/+b+UP+H/hj/SP7z/jr+7f5H/vj+Vv4B/1T+Av9J/v7+Rv7+/k7+Bf9d/g//Z/4X/23+
>HP95/iP/jf4x/6r+Q//G/lL/2P5d/+H+Yv/h/mH/2v5c/83+U/+9/kj/wv5I//j+Z/91/6//
>NgAgABoBpQD1ASYBtAKUAVoD9gH8A1YCmgSyAhgF/AJLBRoDFgX7AokEpwLLAzUCCQPEAVsC
>XAHFAQUBRAG6ANwAfQCVAFQAaQA7AEYAKQAfABQA+v/+/+f/9f/v//v/CQALABMAEgDy////
>r//X/2P/qv8t/4r/E/94/wH/b//k/l3/vP5D/53+L/+Z/iz/s/46/9z+Uf/8/mT/Ev9v/yn/
>fP9R/5L/jP+1/8v/2//4//b/DQACABQABwAeAA4AMgAaAEoAKgBaADQAVwA0AEcAKwAzACEA
>HQAVAAcACAD2/wAA8v///wYADAAtACQAUwA6AGAAQgBLADYAIwAdAP7/BgDo//n/4f/y/93/
>7//Z/+r/2v/q//L/9v8vABgAnQBYAD4BtwD8ASYBpgKJAfsCuwHbAqcBWgJbAcAB/gBXAcAA
>MwGrACYBowD8AIwArABdAHAAPACQAFAAKQGsAAECLwHIAqcBPwPxAWQDCAJXAwMCMgPuAfIC
>yQGXApUBMQJZAdsBJwGmAQcBgwHzAF4B3QAsAb8ABAGmAPkAngAEAaQADAGmAPkAmADQAIAA
>sgBrALIAaQDDAHEAxwBzALMAZQCZAFUAlwBSALIAYQDSAHQA3QB6AMwAcAC4AGQAsABhAK8A
>YQCdAFYAdABAAE4AKgBHACcAXAA1AGQAOwA2ACEA3v/t/5f/xv+p/8//FgARAKEAZQD1AJcA
>6gCQAJcAXwBCACwAGgATAB8AFQA0ACEAPgAmADgAIQAoABcAFQAKAPb/9f/P/97/s//N/7b/
>z//e/+X/GQAIAEkAJgBeADIAXgAzAF0AMwBiADYAZwA6AFoANQA1AB8AAAACANL/6f+5/9r/
>tP/Z/7j/3P+6/9//t//d/7T/3f+7/+L/y//r/9v/9f/j//n/3v/3/93/9P/t//3/FgATAE8A
>MwB+AE4AkgBYAIwAUgCDAEsAjQBPAKsAYADMAHEA3AB5ANQAcwC/AGYAsABcAKwAWQCsAFgA
>owBUAJMASwCGAEQAiABGAJcAUACsAF0AvQBpAMwAdADgAIIA/ACUABoBqQAzAboAQgHDAEwB
>ywBVAdIAXgHYAGIB2wBaAdgASAHNADMBwQAqAboAMQG/AE4B0AB8AeoArAEHAdIBGwHhASMB
>3AEeAdsBHgEEAjUBdAJ2AS0D4wENBGcC3AThAmsFNgOvBV0DxgVqA+AFegMfBqADdwbUA7IG
>+AOWBugDBgaTAyQFDgMzBH8CcwMOAvkCxgGvApoBagJyARUCPwGzAQYBWgHQABgBqQDsAI4A
>0AB9AMAAcwDBAHQA0QB8AOUAhwDxAI0A8QCNAPIAjAAGAZYAMQGwAGwB0QCjAfEAyAEHAdsB
>EgHdARMB0wEMAcEBAgGuAfcApwH0ALgB/wDaARQB9wEmAfoBKgHjAR0BwgELAasBAQGuAQQB
>vwEQAcsBGQHGARcBtgEOAaEBBAGYAf8AmwEBAaMBBwGoAQoBpgEJAZoBAgGNAfoAkQH7AKkB
>BwHRAR0B9QEyAQECNwHzAS0B2AEbAcgBDgHNARAB4QEaAesBHwHkARgBzgEJAbcB+gCqAfIA
>ogHtAJgB5wCKAd8AhQHbAJEB4wCqAfIAuAH7AKwB9QCPAeQAhwHhAMUBCAFkAmgBUwP3AVkE
>lAIwBRUDoAVaA5gFVQMsBRcDjAS3Au0DWQJyAxECIQPiAeYCvgGpApoBYAJtARUCQAHcAR0B
>vwEMAb0BCgHEAQ0BxQENAbkBBgGmAfoAkQHtAIAB4gB0Ad0AcQHaAHIB2wB3Ad8AgQHkAI4B
>7gCjAfoAvQENAdkBHAHlASYB2gEfAbcBDAGKAfIAYQHbAEMByAApAbkADQGpAPIAmQDkAJEA
>7wCXABUBrQBAAcUAWAHSAEwByAAgAawA6ACJAL8AbwC4AGkAzgBzAO8AhQANAZUAHwGeACsB
>pAA4AawATAG1AFwBvgBcAb8ARgGxACMBnQD/AIkA4QB4AMcAaQCxAF8ArQBeANEAdgAlAasA
>jgHrANwBHAHdAR8BkwH1ACsBuQDeAI4AxQCAAMcAgwC4AHsAiQBfAFkARABVAEEAkgBlAPYA
>nwBKAdIAcwHoAHkB6gCAAe0AnAH8ALgBCwGzAQcBfwHkADIBtQD5AJIA8ACMAAsBmwAnAaoA
>KQGrABgBnwAQAZsALAGrAGcB0ACtAfoA4gEaAfkBKQH2ASgB5gEfAdEBFAHCAQwBwAEKAdAB
>FQH3ASwBJgJJAU8CYQFlAm0BbgJyAXkCeAGSAoYBuAKbAdECqQHKAqMBoQKJAWoCZwFMAlUB
>XAJdAZMCfAHVAqIBAgO9AQ0DwwEBA7sB8AKxAeMCqgHeAqkB2QKnAdYCpwHcAqwB7wK5AQQD
>yAEKA84B6wK+AacCmAFOAmYB+gE2AbgBEQGSAfwAgwH1AIIB9QB+AfIAbAHpAEQB0QASAbIA
>7wCcAPQAngAmAbkAbwHkALEBCgHfASEB9wEsAQoCNQEeAj4BLwJGATgCSgFAAksBVwJWAX8C
>bwGxAosB0gKdAdYCngHHApYBuAKMAbECiQGtAocBoQKBAZcCfAGhAoQBygKcAfoCuwELA8cB
>5wKzAaYCjAF6AnQBhAJ8AbkCnAHnArgB6QK5Ab4CnwGLAoABaQJsAVcCYAFAAlMBIQI/ARAC
>NAEkAj4BVwJbAYICdQGAAnIBVQJYASoCPgEpAj0BTwJTAXICaQFpAmQBLwJDAeUBGAGpAfYA
>gAHfAFMBxgAWAaMA2ACAALMAbAC1AG4AxQB5AMoAfAC4AHMAqQBrALoAdADkAI0ADwGmACQB
>sQAzAbkAbQHZAPsBKwHWAqsByQM6Ap8EtwJABRQDvQVbAywGnAOPBtMDzQb3A9sG+wO+BukD
>mwbSA4kGyAONBskDjQbJA3QGuQNABpwDAgZ4A9cFYAPOBVsD6AVsAxcGigNDBqcDWwa2A1AG
>sQMpBpsD+AV/A9EFagO/BWEDvgVhA8UFZgPNBWsD1wVxA98FdQPfBXUDywVqA6AFTgNoBS0D
>OAUOAxoF/AIQBfUCDgXyAgoF7wIABekC+gTlAvsE5AL/BOcCAgXoAv4E5gL0BOAC5wTZAt0E
>1ALZBNIC2gTUAtsE1QLbBNYC2QTUAtEE0QLCBMcCqAS5AoIEoQJTBIYCKgRsAg4EXAICBFMC
>+QNMAt4DOwKpAxkCbgPzAUED1wE4A9ABUQPcAXkD8gGfAwcCvgMXAtgDJgLuAzEC9AMzAukD
>LALXAyECzwMdAt8DJgL4AzYCBQQ+AvYDNwLXAycCvQMYArQDFQK4AxgCtwMbArADGAKtAxcC
>sgMcArMDHwKkAxcCfQMAAlMD6AFGA+ABWwPsAX4DAgKRAwsChQMEAmcD8QFTA+MBUQPhAVcD
>5AFcA+UBXQPlAWgD6wGAA/gBmQMGApoDBQKBA/UBXQPgAUwD1gFbA98BfAP0AZYDAgKTAwEC
>dwPxAVAD2gEsA8YBEAO3Af4CrAH1AqcB8QKlAekCoQHQApEBngJzAVsCSwEeAiUB/gERAQkC
>FQE2Ai8BbgJOAZoCaAGuAnIBsQJyAbkCdAHUAoIB+gKYARMDpgEDA5oBwQJzAWgCPgEfAhIB
>+QH+APcB/QACAgUBDwINARwCFwEwAiQBPwIvATgCLgEQAhcB0AH0AJcB1AB6AcQAcgHCAGMB
>ugA+AaUACAGGANgAaAC4AFYAqABMAJ4ARgCYAEEApABIAM0AXwAEAX4AMgGWAEYBoQBKAaMA
>WAGpAHoBuwCdAdAApAHSAH8BvABCAZYACwF1AO0AYwDXAFcArQA/AGIAEgAHANz/u/+x/4//
>mP96/43/av+G/1X/ef9D/3D/Pf9v/0P/c/9H/3T/Qv9z/zv/bv9C/3L/Wv+B/3//lf+c/6T/
>qf+r/7D/r/+9/7P/zv+9/9X/v//D/7L/l/+Y/2P/eP84/13/Gv9K/wT/Pv/v/jD/3f4m/9j+
>JP/c/in/4P4r/87+I/+n/g//fv74/nH+8/6Q/gj/zf4v/wz/Vv8t/23/LP9u/xb/ZP8D/1n/
>BP9a/xz/a/9E/4P/bf+a/4v/rP+U/7H/if+q/3L/mv9W/4f/Ov92/yT/Z/8T/1v/BP9R//z+
>Sv/9/kr/DP9Q/yX/Xv9B/27/WP97/2D/gf9b/37/Uf94/07/d/9Z/3//bv+N/3//mf+E/53/
>eP+Z/2f/kv9d/43/YP+Q/2n/l/9w/53/c/+h/3j/pP+I/67/pP+//8n/1f/w/+z/FAABADoA
>FwBgACwAhwBDAK0AWADTAG0A/ACFACcBnQBMAbIAXwG8AFsBugBGAa0AMQGhADIBoQBLAbEA
>cQHJAI4B3QCaAeUAkwHiAIUB3QB9AdsAgwHhAI8B7ACdAfYAqQEBAbQBCAG+AREBzQEcAd8B
>JwHzATUBCgJEASECUgE1Al4BRQJnAVACbQFXAnABWAJwAVICawFIAmMBQQJfAUsCYgFrAnUB
>lgKNAbsCogHGAqcBtgKcAZ4CjgGQAoYBkgKIAY4ChQFiAm0B9wEvAVQBzwCWAF8A5//6/2r/
>sf8n/4z/DP99//P+cP/E/lb/eP4q/yL++v7g/dP+vv3B/rP9u/6k/bP+gP2e/k39f/4b/WH+
>9vxM/uL8QP7V/Df+y/ww/sb8Lf7D/Cr+s/wh/o78Cv5Y/Or9LvzR/ST8yv0n/M39E/zC/cb7
>lf1U+1L9+/oe/fL6HP04+0f9j/t9/bT7lf2a+4f9bPtu/WL7av2L+4T9wfun/db7tv3E+6z9
>pPub/aH7mf27+6n90fu3/cD7rf2K+4z9Uftr/Tr7Xf1M+2f9cvt8/Yr7i/2K+4n9ffuA/Xf7
>fP2F+4P9nvuS/bL7nP2v+5z9mfuO/X37fv1r+3P9a/t0/Xv7ff2M+4r9mvuT/aT7m/2y+6T9
>wvuv/c37uP3G+7b9sPuq/Zj7nf2O+5n9lPud/Zv7ov2O+5z9ZvuE/TH7Zv0G+0z97/o//ev6
>Pf3l+jr92Poy/cP6Jv2z+hz9rvoZ/bn6H/3Q+iz96fo7/fv6Rv0A+0n98/pD/dT6Mf2v+hv9
>kPoJ/YD6Af2C+gP9k/oO/an6HP26+ij9w/ov/cH6L/21+in9nvod/YP6Df1h+vv8O/rk/BH6
>zPzj+bD8tPmW/Iz5fvx0+XD8b/lt/H/5dvyb+Yb8vvmc/Oz5tvwz+t/8pfoj/Uj7g/0G/PP9
>ufxe/j/9rP6P/d3+w/37/vn9HP87/kP/dP5k/3b+Z/8n/jj/j/3e/tf8cf4s/A3+rfvC/Vn7
>kf0d+2796PpQ/bX6Mv2J+hr9a/oJ/Vv6//xY+v/8YvoF/XT6EP2O+iD9qvox/bz6O/3E+kD9
>x/pC/c76Rv3Z+k393vpQ/dL6Sv26+jv9p/ov/af6L/29+jz90vpJ/dX6S/3J+kT9zPpH/Qf7
>af2G+7b9PPwi/gT9mP60/QL/NP5Q/3n+ef92/nf/J/5I/6D9+f4C/Zr+dvxI/hX8Dv7Z++r9
>rvvR/Yv7vP1v+6v9Y/uk/Wb7pf1r+6j9Y/uj/VT7mv1R+5f9afuk/Zr7wf3T++P9/fv7/RL8
>B/4U/An+C/wC/vn7+f3m++392fvk/dv75v3y+/X9FPwJ/iv8F/4x/Bz+KPwW/h78EP4j/BT+
>M/wd/kH8Jv5F/Cj+RPwp/kv8Lf5f/Dn+evxK/pL8V/6h/GH+tPxr/tX8fv4F/Zv+Nv25/lP9
>yv5T/cj+P/29/jP9tv5G/cD+e/3g/sX9DP8J/jT/L/5K/y3+SP8I/jH/0/0T/6r9+v6Y/e/+
>mv3w/p398v6O/en+av3T/jz9uP4V/aD+9/yO/tv8f/6//G3+pfxe/pb8Vv6T/FP+lPxR/of8
>S/5v/Dz+VPwr/j78Hf4k/A7+/vv3/dr73/3g++T9Rvwf/iH9oP5J/lH/eP8EAGoAkwAJAfIA
>ZgEoAZYBRQGwAVMBvwFdAdkBbAENAooBUQKzAYACzwFmAr8B8QF6AUEBEQGIAKMA7v9HAHL/
>/v8C/7v/mf58/z3+Rv///SL/2f0J/7r99/6b/eX+j/3d/qn97P7m/RD/KP43/0z+S/9J/kj/
>Nf49/y3+OP84/j3/R/5G/0v+SP9C/kP/N/46/yf+Mf8M/iD/6P0K/9X9//7u/Q3/Nf42/4P+
>ZP+m/nn/j/5r/1j+Sv8p/i7/Ef4e//j9EP/M/fX+kf3S/m/9vv6D/cj+u/3q/u39B//4/Q3/
>4f3//s398v7S/fX+5v0A//X9B//2/Qj/Af4P/y7+Kf91/lL/sP52/8H+f/+j/m3/d/5R/1z+
>Qf9W/j3/Uf46/z/+MP8p/iL/Hv4a/yf+H/8x/iX/LP4i/xP+Ev/1/QH/5/34/uz9+v4C/gf/
>MP4j/4r+Vv8j/7L/7/8rALkAowBFAfQAbQEMATwB7wDbALUAagByAPP/KwBw/9v/6f6L/3j+
>R/83/h//Lv4Z/0f+KP9h/jf/b/4//3f+Q/+J/k3/qv5h/9P+eP///pH/Lf+s/2L/zP+W/+r/
>tP/8/6z/9v+H/+D/Z//M/3D/0v+n//H/7/8dAB8AOAAiADkABQAoAOL/EwDP/wcAxP8BAK//
>8/+H/9z/Wf++/0L/sf9e/8L/vf/6/1sAVwAvAdQAJgJnASwDAgIgBJMC5QQHA2gFVgO0BYED
>3wWaAwEGsAMiBsEDLAbIA/sFqgN0BVkDnwTaAqIDRAK4ArgBCAJQAacBFAF9AfwAbAHxAFkB
>5wA7AdMAIQHEAB8BwQA7AdMAaQHtAIcB/wB0AfQAJgHEALcAggBXAEgAJwAsAC4ALwBNAEIA
>YgBNAF4ASwBDADoAIQAlAP7/EADf//7/1v/4/wAAEQBnAE0A7wCdAFcB3ABlAeMADwGvAIcA
>XgASABkA2//3/9T/8//S//P/sv/e/3H/t/8j/4r/4f5h/7n+SP+y/kT/yv5S//D+af8K/3j/
>9v5t/6r+Pf8y/vf+tv2t/lL9cf4Q/Un+4/wu/r38F/6U/P/9Z/zj/Tb8x/0L/K398vue/fb7
>oP0U/LH9M/zD/UL8zP1C/Mv9UPzU/YX88/3d/Cf+LP1W/k39av5E/WT+PP1f/lv9b/6d/Zf+
>1f24/tb9uf6i/Zr+Yv10/kD9X/5A/WD+Sv1l/kr9Zf5I/WP+WP1s/nj9gP6S/Y/+jP2L/m/9
>ef5e/W/+cf17/p/9lf64/aT+nv2U/lr9a/4R/UH+5/wm/tn8H/7W/B3+zPwW/rv8DP6q/AP+
>mfz4/Xr85f1R/M39Mfy5/Tb8vf1q/Nv9ufwK/v/8NP4e/UX+Cv06/s78Ff5+/OX9Nvy8/Rb8
>qP0u/LX9b/zc/bH8A/7O/BT+uPwI/pH88P2G/Or9rPwA/un8JP4N/Tn++Pwt/rT8BP5h/NL9
>Jfyw/Q/8ov0h/Kz9UvzJ/ZL88P3M/BL+5fwi/tT8F/60/AT+r/wB/tz8HP4r/Uv+bf1y/nz9
>ev5f/Wn+Sf1b/mL9av6q/ZX+/f3F/i3+4/4y/ub+Jv7f/ij+4P48/uz+Vf76/ln+/v5M/vT+
>Pf7s/kH+7v5R/vj+YP4B/2z+B/+I/hj/2v5J/3r/qf9aACwARgG6AAcCLAFtAmkBbAJpARkC
>NwGUAecAAwGRAIsASgBEAB8ALwAUADkAGQBJACQATAAlAEIAHwAzABcAMQAVAD4AHABUACoA
>cgA7AKMAWAD4AIsAgQHdADACRQHbAqoBSgPsAVMD8QHwArYBSAJTAZkB6wAbAZ4A6ACCAPwA
>jgA2Aa8AbwHSAIoB4gB1AdQANQGvAO0AhADGAG0A4gB/AEIBtwC6Af4ABAIqAf0BJgG5Af0A
>dgHWAHIB0wCvAfgA+QEjAQ8CMQHeARQBhwHgAEIBuAAtAasAMAGtACgBqAACAZIAzwBzAKkA
>XQCiAFgArQBfAMQAbQDiAH4ABQGUACYBqAAxAa4AGQGgAO4AhgDWAHcA5AB/AAYBlAAXAZ0A
>9wCLALUAYwB4AEAAaAA1AIcASQC+AGkA7wCFAAABkADqAIIArQBfAF8AMAAuABMASQAkAMMA
>bABsAdEA7QEdAf4BKAGeAe8AEgGcAK0AYACRAFAApQBaAK4AYACRAFAAXgAxACwAEwAAAPn/
>yv/Z/3v/qv8i/3b/3P5L/8P+PP/P/kP/5P5R/+3+Vf/m/lH/2f5J/9f+SP/m/lH/Bf9j/yn/
>eP9E/4n/Tf+N/0T/iP9J/4z/hP+t/wIA+f+nAFsALgGsAF8ByQAvAa0AyABwAGMAMwAfAAsA
>9//0/+v/7f8NAAAAfABDAEIBuQAxAkgBAQPDAX8DDQK1Ay4C1gNCAhAEZQJhBJUCpQS7ArAE
>xAJ4BKICDARiAoQDEAL1ArsBbQJrAf0BJwGyAfsAiwHjAHQB1gBSAcEAGQGfANEAdACUAE8A
>cAA7AGMAMwBiADIAXQAuAE0AJQAsABEA+f/z/77/0f+R/7b/iv+x/63/xv/g/+X/9//y/9P/
>3f9//6z/J/93//X+Wv/4/lz/IP9z/07/j/9y/6T/jP+z/6f/xP/L/9j/7P/s/wAA+P8BAPn/
>/f/2//3/9v8EAPr/BQD7//D/7v++/8//fP+o/0L/hf8j/3P/JP90/zr/gP9U/4//bP+e/4P/
>q/+a/7j/r//F/8D/z//O/9j/4//j//X/7//1/+//0P/Z/4n/r/9E/4X/Kv92/03/i/+W/7b/
>1//d//D/7P/u/+z/8f/t/wgA+v8dAAcAEAD//9f/3P+d/7v/pv+//xwABADtAIEA3AEPAaMC
>hQEUA8kBKQPVAfICswGHAnQBBQInAYUB2wAfAZ0A2AB0AKwAWACGAEIAXgArADQAEAAKAPj/
>6f/k/9L/2P/K/9L/0//X//D/5/8cAAMATgAhAHYANwCGAEIAfgA8AGIAKwBAABcAJQAIABMA
>/P/9//D/2P/a/6D/uP9d/5D/Kf9w/xP/Y/8h/2v/Rv+B/3L/m/+b/7L/uv/F/9L/0//h/9z/
>6//i//v/7P8QAPj/IQACACQABAAPAPj/6v/h/8f/zP+x/7//pP+4/5f/r/+J/6j/h/+m/6X/
>t//W/9X/BwDy/x8AAAAcAP7/EAD3/xAA9/8XAPv/HQD+/xoA/f8dAP//NgANAGAAJgB9ADcA
>agAqACEAAADF/8j/iP+j/43/pv/I/8n/EAD0/zcACgAhAP7/1//Q/3//nv9K/37/Uf+B/4n/
>o//M/8v/8f/h//L/4P/q/93/9v/k/xUA9v8pAAIADQDx/7z/wf9R/4L/8P5I/6T+G/9l/vX+
>L/7V/hH+xP4f/sz+VP7r/o/+Dv+k/hn/ff4C/zP+1v7w/a7+0v2d/ub9p/4k/s3+fv4C/+D+
>O/8s/2j/R/94/zL/a/8K/1T///5N/yb/Y/9q/4z/pP+v/7X/uf+Z/6j/af+L/0T/df9B/3X/
>bf+P/7z/vv8TAPL/QQANACkA/v/c/9H/lv+o/5v/q//5/+P/gQAzAOwAdAAUAYwADQGHAAEB
>fwD/AH8A+QB7ANcAZgCeAEUAaAAjAEgAEAApAP7/5//W/3n/k/8D/0//wf4m/87+Lf8V/1j/
>bP+L/7T/tv/w/9n/KgD9/2EAHACAAC4AeAArAFAAEwAcAPP/5//V/7b/uP+L/5//dv+S/4X/
>nP+6/7z/+P/h/x4A9v8bAPX////k/9//0v/C/8H/nv+t/2z/jv8+/3L/O/9x/2//j//F/8L/
>CADq/xcA8//9/+P/6P/X//3/4v81AAQAZQAfAFwAGgARAO3/qf+w/1//hP9j/4X/uP+5/zcA
>AwCcAEAAswBNAG0AJAD8/+H/q/+x/6//tP8DAOb/bQAlAKwATACxAE4AowBHALYAUgDzAHcA
>KwGYACABkgDDAFwAQgANAN//1P++/8H/yv/H/9X/zv/G/8X/r/+2/6r/tP/K/8j/CADr/2UA
>IgDrAHMArgHlAJcCcAF1A/QBGgRVAo8EnAISBeoCzQVYA6cG2QM8BzIEHAcgBDIGlAPHBL0C
>ZgPrAXwCYQEpAjABRAJAAYICZQGdAnYBcQJcAQICGgGFAdEAQAGoAFwBuQDIAfkAOAI8AWMC
>VgE2AjsB3wEIAaYB5QC1Ae8ADQIiAZECcQEoA8sBtAMeAgoEUAL8A0gChAMBAuECoAFzAl4B
>bQJbAa0CgAHRApQBoQJ5AU0CRgE6AjsBngJ4AUoD3gHKAyoCyQMpAl8D7AHrAqYBrwKDAaQC
>fgGRAnIBUgJNAf4BHAHAAfcAoQHmAIEB0wBDAa0A8gB/AMAAYQDIAGYA/ACFADIBpQBUAboA
>awHIAIMB1gCJAdkAXAG+APUAgQCKAEAAYAAnAJEARQDlAHYAAgGGALcAWgArAAcAuf/D/5//
>s//g/9r/PAASAHYAMwBjACgAAQDu/2v/lf/d/kD/pf4h/wD/Vv/g/9z/4AB2AHgB0QBZAb4A
>pQBUAND/1v9C/4L/EP9k/wT/Xv/o/k3/s/4v/4P+Ef9m/gD/S/7w/hf+0v7X/az+xv2i/hH+
>zv6w/iz/U/+N/6T/vP+I/6z/Nv97/wf/X/83/3r/tf/G/0UAGwCYAEwAhwBCACUACQCy/8X/
>cP+d/4f/q//k/+L/RQAcAG8ANgBQACQADAD7/9b/3P/G/9L/yP/U/8L/0v/D/9P/AQD4/7gA
>ZADjARcBNgPhAUwEhgLhBOACBQX0AvUE6wLzBOsCEgX9AjQFEQMsBQwD4gTeAl4EkALDAzUC
>LwPcAasCjQEyAkYBvQEAAVIBvwADAZEA3gB8AOMAfgD8AI0AEQGZABYBnQAVAZ0AEwGbAAgB
>lQDvAIcAywBxALAAYQCxAGIAywByANsAfQDJAHIAmQBWAHUAQACEAEkAvwBtAPgAjwAIAZkA
>+ACOAP8AkgBdAcoAIQJAAScD2wEzBHoCGgUDA8cFagM3Bq0DbQbMA3IG0ANgBsUDUwa8A1UG
>vgNjBscDdgbSA48G4AO4BvoD8gYcBBoHNAQLBysEwQYABGgGygM9BrIDYQbHA7UG+QMBBycE
>HQc5BBEHMQT9BiYE+wYkBP8GJwT9BiUE7QYdBNsGEgTKBgYErgb3A4kG4ANtBs8DgAbbA9IG
>CwQ7B0kEawdlBDAHQgSkBu8DKQalAyAGoAOkBu4DcQdoBCAIzgRrCPsEVgjwBB4IzgT8B7sE
>Agi+BBIIyAQCCL8EwQeaBGEHYAQLBzAE5AYYBOkGGwT2BiME3QYWBJAG6AMtBq4D7wWIAwEG
>lANeBssDxgYIBPYGJQTLBgsEYgbNAwUGlQPtBYYDJwaoA4kG4QPUBg4E5QYXBMgGBQSrBvQD
>sQb2A88GBwTaBg0EpAbuAywGpgORBUkDCwX5AroEygKrBMEC0gTYAiQFCgOQBUkD/AWKA0kG
>ugNsBs8DbQbRA24G0gOEBuADqgb3A8gGCgTRBhEE1QYTBOcGHgT/Bi4E/AYsBL4GCQRVBsoD
>9QWQA80FdwPYBX8D4gWDA7cFaANUBS0D7QTuAqsExgKcBLwCowS+AqIEvgKXBLYCkQSxAooE
>rAJuBJwCLARzAskDOAJoA/0BHgPSAeQCsAGfAogBSQJTAfEBIQG4AQABqgH4ALYBAAHEAQoB
>0wEVAekBIgECAjMBBgI4AeUBJAGuAQUBlQH4AMUBFQEvAlQBlgKSAbcCpQGAAoUBGgJIAb4B
>EAGLAfIAiwHxALMBCQEAAjQBYgJtAbUCnQHOAqsBngKNAUkCWQEMAjMBEQI0AUoCVQGGAnYB
>lwKAAXsCcAFHAlABDAItAckBBAFzAdIAFwGbANMAdADGAG4A7QCGACUBqQBEAb4AQAG8ACIB
>rQAKAaAADAGiACUBsgBDAccAUwHRAE0B0ABAAcgASgHOAHkB6wC3AREBzwEfAZAB+AD8AKAA
>XABAAAIACQAXABUAdABKAMcAeADZAIIAugBtAKUAXgDKAHMAIwGnAH4B2gCpAfMAlQHlAFgB
>wQAWAZoA9QCFAAsBkABbAcIAywEFASICOQEvAkIB6gEbAYYB4QBAAboAMAGxAC0BsgD9AJgA
>kgBZAB4AFgDn//j/BAALAEsANwB2AFIAbABMAE0AOgBOADwAfABXAK8AdgC6AHoAjwBhAFUA
>PQA7ACwATwA2AHwATwCeAGIAoABfAIUATQBnADoAYgA0AIoASgDfAHsAPgGyAHMB0QBWAb8A
>8QCBAIUAQQBfACoAkgBJAOcAfAABAY0AqQBaAPj/8v80/3//lP4j/xz+3f6r/Zz+NP1X/s78
>HP6d/AL+pvwJ/sL8HP6+/Bv+iPz8/T380f0L/LT9Evy3/Uj82P2V/Af+5fw1/i/9YP57/Yz+
>zf26/i7+8/6m/jj/Mf+I/7f/1f8GAAIA8v/0/2r/of+K/hr/j/2D/rj8Av4t/K799vuM/f37
>j/0d/KL9Lfys/Rn8oP3j+4L9rvti/aT7Xf3d+4H9SPzC/bD8Af7Z/B3+pvz//SD8sv13+1D9
>6Pr9/KL61vy3+uX8E/sd/Yj7ZP3d+5f98vul/cP7if1t+1b9F/sj/ef6Bf32+g79UPtB/e37
>nv2n/Ar+N/1e/lf9b/7z/DH+RfzI/b77dv2w+2v9EPyi/Xj83v13/N397vuI/Sf7Ev2l+sP8
>svrL/DH7F/27+2j98vuK/cn7cv13+0P9QPsj/Tz7Iv1Q+zD9W/s4/Uz7Mv0s+yH9BfsL/dD6
>7vyI+sb8L/qS/Nz5Yvyg+UH8fvks/F/5G/wy+QL8Afnk++T40/vx+Nn7IPn2+1b5FPxy+SX8
>c/kk/HT5IvyQ+TH80/lY/B/6g/xR+p/8Wfqh/Ej6lfxQ+pf8lPq+/BX7Cf2l+179Dfyb/S38
>rv0U/J/98fuJ/eT7gv3q+4X93ft//Zv7Wf0r+xb9vvrY/Jb6wvzR+uf8W/s7/fL7lv1L/Mz9
>OvzF/cf7gv0h+yL9kvrP/E76pvxe+rL8pPrc/O36CP0f+yb9Pfs3/WP7Tv2c+3D92PuS/fT7
>of3l+5j9xfuD/bf7ef3L+4P97PuV/f/7n/0R/Kj9VPzO/fn8Lf77/cb+HP9w/woA/P+bAFMA
>4AB6AAEBjQAVAZoAFwGaAPcAhgDCAGgAkwBNAHUAPABLACUA5P/o/yf/e/8w/uj+Qf1c/p78
>/f1d/Nj9aPzh/Yf89f2J/Pf9T/zX/ej7mv2H+2H9aftR/a/7ev03/Mz9rPwR/r38Gv5e/OL9
>3/uW/aj7dP3s+5v9ffzw/fH8M/7z/DP+hvzw/fH7l/2O+1n9hftT/dP7gP1Y/Mz98/wn/or9
>gP4E/sf+Pv7q/jT+4/77/cH+xP2g/rH9lf7B/aD+0f2q/rH9l/5R/WD+yvwS/lX8zf0l/LL9
>SfzK/ab8Av4B/Tv+K/1V/iH9Uf4O/Ub+JP1V/nn9iv7q/c3+Mf75/iL+8P7A/bb+PP1n/tP8
>KP6e/Aj+lvwC/qT8Cv67/Bb+2fwn/v38O/4a/Ur+KP1P/ij9Tv4y/VP+Wf1p/qT9k/4E/sr+
>bP4H/97+Sv9u/57/KgAOAAgBkADcAQ4BbgJlAZkCfwFgAl4B9QEgAZEB5QBPAb8AHgGjAM4A
>dgBEACYAkv+///j+ZP+r/jj/r/49/9L+VP/V/lf/nv43/0n+Bv8K/uL+AP7d/if+9P5s/hz/
>wv5Q/yb/i/+H/8P/tf/e/4z/w/8O/3f/gv4i/0D++P54/hn/BP9p/33/r/+D/7H/9v5c/w7+
>0f43/U7+1/wU/ir9RP4i/tb+Z/+Y/3sAOwDlAHsAfwA+AIT/q/+C/hH///3F/ij+3/67/jn/
>Pf+H/0r/kv/j/lb/Xf4I/yT+6f5q/hT/B/90/5b/yv+7/+L/Yf+t/7n+Sv8T/uj+m/2h/kj9
>cf7+/ET+tvwY/pb8Bf7N/CT+WP11/un9yf4Y/uP+sv2k/uD8Jf4Z/Kz9x/t7/QX8nP2J/Or9
>8Pwl/vr8Kv66/AL+gPze/aP88/1O/Vj+Yf77/oT/qP9JAB8AagAzAOr/6P8f/3D/gP4T/1v+
>AP+l/i7/Cf9r/yb/f//a/lT/Vv4H//L9zv7i/cb+FP7m/kP+A/8w/vj+3P3G/n/9kf5b/Xz+
>g/2U/sz9v/7r/c/+tv2w/kH9Z/7E/Bv+ffzv/X/87/2z/Av+9/wz/jn9WP52/Xj+oP2Q/qf9
>k/5//Xn+Of1P/gv9Mv4d/Tz+bf1q/r39mv7P/aT+lP2C/j/9UP4T/Tf+LP1I/nD9cf6p/ZX+
>vP2i/rP9oP6k/Zj+if2L/lT9bv4N/UX+5Pwu/hj9T/7A/bT+oP45/1T/pv+R/8v/Sv+h/67+
>RP/8/dv+Y/1//gD9Qv7p/DT+KP1X/qL9nv4e/ub+Yv4N/2D+Cf9E/vb+Q/7z/l7+Av9m/gX/
>If7b/pX9hf4P/Tb+6/wf/kb9Vf7m/bT+av4C/5z+IP+J/hX/Z/4B/2D+AP97/hD/pf4r/9H+
>SP/2/l//Bv9q/+7+X/+0/j7/ff4g/4r+KP/p/mL/Zf+t/5f/zP8+/5j/f/4n/9L9v/6o/af+
>Ef7l/rj+SP8p/4v/LP+L/9f+V/9o/hP/Av7V/rf9pv6V/ZH+vP2m/kf++P4S/27/xP/X/xAA
>AwDt/+z/qP/C/5f/t//L/9b/AAD1/+L/5P9h/5f/v/44/1b++v5M/vT+gf4V/77+PP/k/lP/
>8f5c/+T+Vv+1/jz/c/4X/1r+Cf+3/kP/pf/Q/84AgQCkAQIBwwEVAU4BzwDJAIAAqwBvAAIB
>ogBvAeMAiAHxAC8BvACPAFsA4f/z/0L/lP+7/kL/Z/4N/3H+Ev/n/lb/hv+z/+T/6v+9/9P/
>Ov+E/8/+Q//d/kz/Yv+a/wMA+v9eADAAVQArABAAAgDK/9j/qf/G/7r/0P/1//T/SwAoAJYA
>VwCYAFoALgAcAHj/sv/Q/k//jv4q/8n+T/9I/5r/uv/f/wIACQAxACQAaQBFAKsAbADSAIIA
>vgB2AHsATQAnABsA2v/t/4j/vf8j/3//q/44/0P++v77/c3+v/2o/mX9cf7X/Bz+RfzC/RD8
>of2I/On9sP2X/iP/dP9RACcAvwBrAFkAMABz/6n/m/4p/07+/f6q/jT/af+m/wYABAAkABQA
>uf/V/x3/eP+3/j3/vP5A/wn/b/9O/5j/RP+U/+X+Xv9h/hD/Bf7b/gj+3f5w/hr/C/91/4n/
>vv+r/9H/bf+p/w3/bv/g/lL/EP9v/3r/rf/R/+L/1v/m/4z/u/8x/4T/Av9o/xn/d/9p/6X/
>1f/k/zsAIACAAEYAfABEACIADACS/7j/IP91/xz/c/+Q/7r/MQAcAJIAWAByAEcA7P/5/1P/
>nv/6/mr//P5q/zv/j/+H/7r/tv/U/7b/1P+V/8D/bv+o/2P/o/98/7P/k//D/2v/rP/t/mP/
>Sv4B/+/9yv40/vL+Gv95/1AALwBsAdUANwJLAa4CkQHqArMB9wK9Ae0CtwH8AsIBXQP+AQwE
>ZwKnBMUCmwS/Ap8DKAL5AS0BZQA8AIL/s/9p/6T/tP/P/+f/7f/S/+H/mv/B/27/qf9V/5z/
>Of+O/xf/e/8K/3X/Kv+J/2L/qv90/7P/Pv+S/9/+Vf+l/jL/y/5G/0j/kP/o/+7/bgA/AK4A
>ZQCKAFEA6f/y/+z+Xf8B/tH+vf2q/n3+G/8HAAQAowH3AKECiwHdAq0BwgKcAd8CrQFiA/sB
>DQRjAo4EsgLVBN8CEQUEA1oFMgODBUwDQQUmA4UEtgKZAygC5QK8AYQCgQE+AlUBxAEOARYB
>pAB9AEoARAApAGwAQwCqAGkAtQBxAIQAVAA/ACsABQAIANr/7f+3/9f/sP/R/93/6f8sABYA
>UAAqAAoA//9z/6b/BP9l/y3/fv/h/+v/kQBUAKEAXwAAAP//Nv+I//n+Y/+F/7b/eABFADYB
>tQB1AdkAZAHQAGABzwCGAeUAlwHxAEYBwwCPAFgAyP/j/1X/oP9e/6b/s//Z//n/AQDw//z/
>lf/F/x//ff/P/kz/2f5S/zj/iv+r/83/0P/k/2X/pv+D/h//lv2R/h/9S/5T/Wn++/3M/qb+
>Mf8E/2j/Ef9u//X+XP/N/kP/iP4b/x7+2/6u/Zn+hv2C/tv9tv6U/iX/Uf+W/7//2P/M/+H/
>s//S/7P/0//O/+P/0//n/5T/wv8c/3j/n/4w/07+AP8l/un+Af7U/sX9sP5+/Yf+UP1s/kX9
>Zf5I/Wj+NP1a/gf9P/7j/Cn+9fwy/kz9Zv7M/bL+TP79/rb+PP8O/2//X/+e/6H/xf/E/9n/
>vv/V/6f/yP+t/8v/5//t/0QAJACRAFMAnQBaAGEANgD+//v/qv/K/4H/sv+G/7b/pf/I/9j/
>5/8iABQAgABMANgAgQD3AJUAtABuABcAEQBf/6T/6v5f//n+Z/+F/7v/RwAvANwAiAD6AJkA
>mABfAO3/+P9Q/5r/Ef9z/03/lf/m//D/kwBXAA4BoQAzAbcAFgGlAOQAhwDDAHMAuQBtAL0A
>bwDPAHgABAGXAGoB1ADcARYBBQIuAZcB7QCTAFMAV/+X/3D+Dv81/u3+ov4u/2D/oP8aABAA
>qwBnABsBqQBxAd0ApAH6AKcB/QCKAewAeAHgAI8B7gC/AQwB1wEaAb4BDAGSAfMAjgHxAMMB
>EAHyASwBtgEJAeUAjADP/+X/Ff91/zf/if8sABkAXgHOABMCOgHnAR8BCgGcABMACgCe/8T/
>6v/y/8wAeADUARQBlwKIAdwCsQGqApIBMQJLAbAB/gBbAcsATgHDAIsB6ADzAScBTAJcAU4C
>XgHZARkBEgGlAGMAPQBAACkAzQB8AL4BDAGDAoABqQKXASoCTAF1Ad8AEgGlAEcBxQDyASsB
>qwKYAQIDzAHEAqgBCAI3ARsBqQBdADcAFgAOAFMAMQDZAIAAQgG/AEwBxAABAZcArgBmAKIA
>XgDhAIQALwGzAEgBwgAnAa0ABAGZABkBpQBiAdEApQH4AKQB+QBnAdMAKAGvAB8BqgBIAcEA
>YAHQACgBsACTAFgAy//i/xP/dP+i/jH/j/4m/9/+Vv99/7T/NwAiAMUAdgDsAI4ApwBlADAA
>HQDk//L/FwAQAOMAiQAnAkkBkAMfArIEzAIuBRUD1gThAsgDPgJqAm8BNwG3AIUATQBZADMA
>fQBJAKYAYQClAGIAbwBBABYADQC+/9j/iv+6/5H/vf+//9j/3//r/77/1/9d/5//Av9n//b+
>Yf9N/5b/xP/c//b/+/++/9r/Sf+U//D+YP/T/k7/y/5K/5v+LP9K/vv+Hv7h/lb+Av/U/k7/
>Lf+D/wX/a/9s/hH/0f21/qb9m/4D/tL+q/43/1r/nv8BAAEAugBvAIwB6gBFAlgBqQKUAakC
>lAF6AncBaAJsAZYCiAHwAr4BTgP3AZsDJQLUA0cC9gNbAv0DXwLxA1gC+gNdAkgEiwLSBN0C
>UAUoA2kFNwMDBfoCawSfAg8EaQIwBH0CqQTGAiIFDwNeBTIDXwUzA1MFKwNRBSsDUAUpA0cF
>JANGBSIDbgU5A8EFawMYBp4DNgaxAxcGngPvBYgDDgaaA5UG6gNhB2MEHwjVBIwIFwWOCBcF
>NgjiBLMHlARMB1YERQdRBMUHngSnCCQFiwmsBf0J8QXOCdUFKwl0BXcICQUACMME0QenBMIH
>nQS7B5kEyQehBAkIxwR+CAwF+ghWBUcJhAVRCYsFOgl9BTEJdwVJCYUFawmbBW4JnAU6CX0F
>3ghFBX8IDQVICO0ESwjuBIAIDgXFCDcF8ghRBewITgW5CC8FeAgJBVAI8QRQCPEEbAgBBY8I
>FgW1CCwF5QhJBSAJbAVLCYYFQQmABfcIVAWTCBoFYQj7BJEIGQUWCWgFqQm/BfgJ7QXkCeEF
>iAmqBR8JbAXVCEAFrwgoBZcIHAV1CAYFQAjnBAUIxQTZB6wEygejBN0HrgQFCMYENAjiBF0I
>+QR6CAoFhAgPBXMIBgU7COQE3QesBHEHbAQlBz8EGQc4BD0HTwRZB2AENAdKBMwGDARfBssD
>Pwa4A5UG6QMwB0YEsweTBM8HowRzB2sE0QYMBDIGrwPHBW8DnwVYA7AFYgPjBYIDGQaiAyQG
>qQPlBYIDXgUyA74E0gJKBIsCLAR5AlAEjgJ3BKUCYgSaAvsDXAJlAwUC4gK5Aa4CmwHhArkB
>ZQMIAgAEZAJhBJwCSASMAqgDLQLGAqUBFgI8AQMCMAGhAo4BlAMfAkYEigJABIcCewMSAmAC
>bAGDAekAQAHCAI4B7wATAj0BdAJ1AY0ChAGBAnsBiQKAAbcCmwHuArsB8wK/AbICmgFMAl4B
>AwIzAQICNQE7AlYBbgJ1AWQCbgEeAkIBzwEUAbAB/wDLAQ4B9wEoAQICLwHYARYBmQHxAHgB
>3gCTAfEA5gEjAUkCXgGBAoABWwJpAb4BCwHDAHUAvv/Y/xf/df8V/3P/o//G/1sAMwDLAHYA
>yAB1AIQATgBOAC8ATAAwAF8APABVADQAIwAXAPr//v8EAAIAMQAeAE4ALgA4AB8AFAAJACoA
>FgCRAFQA/wCXAPwAlgBNAC8AOf+M/1f+Bv8c/uP+hv4h/zz/jf/j/+//ZQA8ANwAggBUAcgA
>rwH+AMMBCgGSAe0AUQHIAEEBwAB5AeEA2gEcATcCUwFsAnMBcAJ1AUYCWwHwASgBhQHnACgB
>rwD5AJMA8QCOAOsAiwDNAHkArgBmAMMAdAAmAbAApwH9AO0BJgHBAQwBUQHKAAQBmwAXAaYA
>aAHWAJoB8wB0AdwAJQGsAAoBngBfAc8A9gEpAWcCbgFqAnABAwIzAW8B2wDnAIoAhQBQAGQA
>PACoAGQAZAHTAGMCbAEmA+ABKwPhAVICYAESAaMAIwAUAAAA//+XAFsAbAHYAPQBKQH2ASoB
>hgHpAO4AjwBzAEQARgAqAH0ASgAFAZwAkgHvAMoBDwF6AeEA0wB9AEgAKgBBACUAxQB0AHcB
>3gDkAR8B1wEYAXQB3QAEAZwAtQBtAHgASQAyACAA6f/z/7v/1v/K/9//DAAHAFEALwBrAD4A
>VAAxACsAGQAaAA4ANwAhAHwATADJAHoA9ACSANAAfgBTADMAo//J/xL/cv/1/mD/Y/+h/xYA
>DACWAFYAhABNAOD/6/8I/2z/cP4T/17+CP/G/kf/Zf+m/+P/8v///wEAmf/D/8v+SP/s/cP+
>ef1//s79r/7a/k7/GAAMANIAewCTAFcAfv+z/y3+7P5R/Wv+Sv1n/v390f76/mf/wv/c//3/
>/v+f/8X/4/5U/z3+8f4g/uD+tf44/6n/y/9dADcASQAsAGL/pP8q/uv+Vv1u/lH9av70/cr+
>vP5B/yb/fv8J/2z/j/4i///9zP6G/YT+H/1G/q38BP4b/K/9Z/tF/aj61fwD+nT8kfkw/FD5
>Cvwk+e/77fjN+6z4pPuM+JD7s/im+xz55PuF+SL8m/kw/Ej5APzE+LL7cviD+5j4nPs++f/7
>Rfqb/IP7WP3O/Bv+1/23/jL+7f6S/Yz+Fvyp/V/6o/w++fj7J/nr++j5X/zV+u38Q/sx/fL6
>Av0X+n/8Ffnm+z/4Zvu29xP7e/fu+nv37vqT9/v6mff++nH35vos9776+vah+v32pPok97z6
>KffA+tH2jfoi9iX6ZPWz+f70d/kt9ZL55/X++eH2kvqz9w37BPg9+7j3EfsH96j6dvZT+o/2
>ZfqP9/76KPny+7T63fyZ+2X9s/tz/Vf7O/0W+xP9Qfss/cL7eP0y/Lr9LPy2/Yz7WP2H+r78
>h/kn/PX40fv9+Nj7efki/AH6cfww+o784vle/EP5/vun+KD7U/hu+1X4bfuQ+JH75/jF+0H5
>/PuA+SP8h/kn/EP5AfzW+MD7fviN+3L4hfus+Kf78fjO+xP54PsZ+eT7L/nw+1/5DPx1+Rr8
>Ofn3+7v4rfti+Hn7pPih+475Lfyq+tf8Y/tE/W/7S/39+gb9Xfqm/Lj5QvwC+dT7QPhh+8T3
>F/vx9zP73vjC+x36gPwD+wv9K/sj/bb63vwY+oH8uvlI/Lv5R/wV+nr8wfrf/Kz7bP2V/PX9
>Cv06/sD8D/7h+4v9B/sL/bj63/z6+gb9RPsz/QP7Df0s+o38Pvn9+9j4v/s3+fX7FPp4/Pr6
>//yb+1/98vuU/RL8qP0O/Kb99PuY/eb7kv0U/K79jfz3/Sv9Vf6x/aP+Cf7V/lD+/v61/jj/
>NP+E/6P/xf/W/+P/3v/o//P/9/8uABsAXgA6ACcAGQBf/6X/Rf79/lj9b/74/DX+HP1J/mn9
>dP58/X7+N/1V/sn8Ev53/OH9aPza/ZD89P24/Az+qPwG/lH80/3P+4f9ZPtH/UL7Mf11+079
>0/uE/SD8sP09/MH9Nvy7/Sz8tf04/L39XPzS/Yz88v3N/Br+Hv1M/m/9fv6e/Zn+j/2R/lf9
>bv4w/VT+Rv1g/o79if7N/a3+zP2t/pP9iv5Z/Wj+TP1j/mX9c/5u/Xr+R/1m/gz9Qv73/Db+
>MP1Y/qD9mf7//dD+Gf7e/uX9vf6J/YX+Nv1U/g79PP4i/Un+cv16/uz9xP5h/gv/nf4v/4n+
>JP9G/v3+C/7a/v790P4M/tf+Bf7R/tP9sv6V/Yz+kf2J/vH9xP6Y/if/KP9+/0b/kf/g/lf/
>RP76/uz9xv45/vX+L/+G/2UAPgBHAcMAcwHbAOsAigAdAA4AiP+2/2H/nv98/6//dP+r/wn/
>bf9K/vz+h/2K/v78Of6z/A3+ePzp/Sf8uP3J+3/9ivtZ/Yv7WP3D+3n9BPyf/Sf8tP0n/LX9
>Hfyx/Sn8t/1W/NP9mvz9/eL8KP4Y/Uf+Mv1X/jP9V/4u/VP+Ov1a/mT9cv6b/ZL+tf2h/on9
>h/4N/T3+dfzk/Rb8rP07/MP95/wp/s39sv51/hf/jf4l/xf+3/5r/Xf+7fwt/sv8F/7h/CT+
>7/wt/tH8Gv6j/P/9m/z7/dv8If5G/WD+p/2b/tT9tv7M/bD+n/2X/lr9bv78/Db+lPz3/VP8
>0f1y/OP9/vw1/r79p/5J/vr+V/4C/+P9vv48/Vv+wvwS/rH8Cf4H/Tz+hP2H/tD9tf6r/Z3+
>D/1B/kb8yv3J+3/98fuW/bb8C/6k/Zn+Jf7j/ub9v/4U/UL+M/y8/bz7dv3P+4P9M/y//Y/8
>9/2k/AL+Yvzb/ev7k/1y+0v9M/sm/V/7P/39+5v91fwd/o79iv7X/bb+pv2Y/jD9VP7D/BT+
>iPzx/Xr86f1+/Oz9g/zw/ZL89/20/Av+8fwu/j39W/6E/YT+p/2Z/of9hf4R/T/+YvzY/bv7
>df1l+0T9fvtS/d37jP07/MT9c/zm/Y/89v28/BD+A/05/k39Zf59/YD+m/2S/tn9tf5M/vv+
>0v5M/xj/df/o/ln/ZP4N//T9yv7x/cr+Yv4N//r+Zv9T/5r/Ov+L/8H+QP8d/t/+jf2I/iz9
>T/4A/TX+9fwv/vD8Lf7g/CT+yPwY/sL8FP7V/CD+8vwy/vr8Nf7Y/CH+rfwF/rb8Cv4V/UH+
>nf2R/u79wv61/aL+/fw1/iv8uP3B+3r9Cfyn/en8LP7w/cj+nP4u/6T+Mv8T/tv+T/1m/tf8
>Hv4A/Tb+uP2i/o/+Iv8O/2//AP9n/5/+Lv9K/vz+P/73/mL+DP9v/hT/SP78/gz+2P74/cv+
>Hv7g/lb+Av9p/gz/Uv7//kH+9P5g/gf/oP4v/73+Qf98/hv/8v3J/oT9iP6b/Zb+VP4D/2H/
>ov8/ACYAhwBPACgAFgBv/6j/yv5F/4b+Hv+f/i3/xv5F/6r+Nf82/vH+qv2f/mj9dv6g/Zf+
>Jf7n/o7+JP+S/ib/TP76/hz+3/5h/gf/Jf98/x0AEADtAIsAYwHUAIsB6wCGAegAXwHSABEB
>pACYAFwADgAJAKX/yv96/7D/gf+0/4b/tv9P/5b/zv5J/y7+6/7H/a3+1f23/lP+Av/l/lj/
>F/93/7b+PP/9/c7+fP2A/q79nv6f/i7/3f/q/8oAdwAFAZsApwBiABMACwCs/87/kP+9/5r/
>xP+T/8H/Xf+f/wb/bP+//kL/vP4//xz/ef/b/+j/yQB2AKgB+wBEAlkBkgKHAbECmQHKAqkB
>+ALFATID6AFeAwECWQP/ARYD1wGdAo0BDQI3AYsB6gAxAbUA/gCXANIAfACOAFQANwAhAPj/
>+//8//7/TQAvAL8AcgAaAakASwHFAGUB1ACDAeYAlAHwAGsB1wDsAIwAQAAlAL//2f+0/9L/
>IgAWAM0AewBnAdYAzAERAfYBKwHvAScBuwEHAV4B0AD2AJIAqwBkAJIAVwCwAGgAAQGYAJoB
>9ACRAoYB2ANLAioFEwMpBqoDpwb2A8QGBgTGBgcE0wYPBNUGEQSnBvQDSAa7A+UFgQOoBVwD
>gwVFA0oFJQP+BPgC6ATrAl4FMQNdBsgDawdqBO0HtwStB5AEBQcsBIwG5QOIBuEDtQb8A44G
>5QPRBXUDtQTMAqsDLQLyAsEBegJ6AQ0COQGjAfoAcQHbAKEB+QAXAj8BbwJyAUgCWwGXAfIA
>uABtADIAHgBiADoATgHGAKQCkgH2A1wC8ATxAnkFQgOmBVwDpgVcA5sFVgOSBU8DiQVKA4kF
>SwOYBVMDqwVeA5YFUgMmBQ8DQwSIAhED0wHXARgB2ACBADUAHwDq//P/5v/x/w8ACQA7ACMA
>KwAZAK3/z//W/k//C/7V/s39sv5f/gf/hP+2/6IAYQAbAagAtQBsALD/0f+e/i7/Av7R/hL+
>2f6W/in/Gv93/zH/hf/F/kX/M/7t/g3+1/6w/jj/8P/2/yYBrwClAfoALgG0ABIACwDm/lj/
>Ff7c/rT9ov6c/ZT+uf2k/gj+1P6E/h7//f5l/yv/gf/o/lr/Xf4H/9v9uf6r/Zz+2/25/k3+
>/P7X/k//Uf+Y/5f/wv+H/7j/Hv96/5D+Jv80/u/+TP78/sn+R/9T/5n/g/+2/yr/gf9u/hH/
>qP2c/jj9Wf5U/Wr+9v3K/tj+UP+I/7n/o//I/w//cf8i/uT+eP1//pT9j/6M/iP/AQABAGQB
>0wBBAlgBaQJvAeABHgHNAHoAdf+u/zf+8P5o/XX+LP1R/mH9cP69/af+Df7X/kj++v50/hT/
>f/4c/1L+Af///c7+4P29/l/+CP+F/7f/1wCAAJ0B9QBsAdgAhgBQAJH/vv8T/3T/FP90/z3/
>jP9G/5L/N/+I/0H/jv9x/6r/lf/B/3T/rP8O/3D/qf40/5P+J//a/lH/Sf+S/5n/w/+r/83/
>jv+9/17/oP8x/4T/Ef9y/wv/bv8e/3r/OP+K/zH/hf/6/mX/rv43/4j+If+r/jb///5n/0D/
>jv86/4v/+/5k/8r+SP/v/l3/cf+q/xUADQB4AEcAUAAvAJ//x/++/kH/M/7u/nH+E/96/7D/
>0wB+AMMBDQHJAQ8B9gCRANr/6v8U/3T/6P5a/yT/ff9t/6j/k//A/6j/y//H/93/8f/3/wsA
>BwAWAA4AOwAjAKYAYwBBAb8AswEDAaEB+QD/AJgAJwAXAJP/v/+G/7j/2//q/yoAGQAcABEA
>oP/H//H+X/9o/g7/UP4A/7f+PP9m/6T/AAAAACoAGwDP/+L/JP99/5f+Kf+D/h3/AP9o/9v/
>6f+yAGsALwGzABYBpQBvAEIAgv+2/8n+SP+y/jr/WP+c/14AOAAlAa4APAG7ALEAaQAHAAQA
>z//j/zUAHwDvAI8AgwHmAJwB9QBBAb8ArQBnACIAFADN/+H/wv/b//7//v9bADUAmgBcAIcA
>UAAiABQAqP/M/2j/pf+B/7X/0//l/yIAFABKACsATwAuAEcAKwA4ACEAHQARAPf/+//W/+f/
>yP/e/7f/1P9//7L/Hf96/8v+SP/V/k7/Vf+c/xMACwCiAGAAxAB1AI4AVABKACwAOgAiAFsA
>NwCJAFEApwBiALoAbgDMAHoAywB4AI8AVQAUAAsAi/+7/1H/mP+f/8f/ZgA9AEYBwgDSARUB
>wgEMARgBpQAdABIAP/+N/+D+Vf8p/4D/7P/0/78AcgA7AbsAPAG7AOwAjACSAFYAWAA0ADgA
>IgAmABgAOAAhAJIAVwA5AboA7QElAUcCWgECAjIBPAG7AFYANAC1/9T/gv+1/7n/1v9IACsA
>IAGrABgCPgHSAq4B4wK4AR0CQQHLAHkAn//G/zH/hP+c/8T/cQBDAAgBnQAFAZsAhABPAPr/
>+//V/+f/OAAhAO4AjgCjAfkAFgI9ATQCUAEaAkAB5gEhAawB/gBqAdcAIAGqAN4AhADHAHYA
>7gCNADoBugBqAdcARAHBAMcAdgA5ACIA+f/8/zEAHAC2AGsAJwGvAEEBvgALAaAA0gB9ANoA
>gQAqAbAAgQHlAJMB8ABIAcIAvwBxAD8AJAD3//v/7//2/wsABgApABkAPQAkAEMAJwBDACgA
>SQAsAFoANQCEAE0AzwB6ADsBuwC3AQQBHwJDAVQCYgFCAlcB8gEnAYYB5wAkAa4A6QCKANEA
>ewDEAHQArABlAIEASwBhADgAcgBEAMwAeABNAcQArwH/AKsB/QAnAa4AUQAvAIb/t/8h/3r/
>TP+V//H/9v/GAHQAbgHYAKAB9gBFAcAAigBRANT/5P+N/7r/2//p/3wASADpAIkAtgBrAOz/
>8/8J/2z/pv4y/wj/a//x//X/2QCAAFcBygBZAcwAEwGhAMoAdgCjAF8ApQBgAMYAdADzAI4A
>BwGaAN0AgQBtAD8A6//y/6n/yv/b/+j/ZgA7AO8AjAAsAbAAFwGjAOQAhADFAHQAxQBzANEA
>eADgAIIABQGZAEABuwBpAdQAQQG9ALgAagADAP7/fv+v/1v/m/+C/7H/t//S/+L/6/8ZAAwA
>cQA/AMYAcgDTAHoAfwBIABEABgD4//j/XQA0AP0AkwBZAcoANgG0ANQAegCnAF8A6QCHAHkB
>3AASAjcBogKNAVAD9AExBHkCEwUAA6AFVQO1BWADgAVAA0kFIQMXBQIDnwS7Aq4DKgJ1AnEB
>gQHgAEMBuwCjAfQAGQI7ASwCRQHTARABYwHPACkBqgAYAaEAAgGVANcAewDDAG8A7wCJAD8B
>uQBfAcsAHAGjAKIAWgBUACwAZgA3AKEAWgCYAFQAEAADAEH/if+l/iz/lv4j/xf/b//j/+n/
>pgBdABoBogAaAaIAqABeAPz/+f93/6n/Zf+f/8T/1/8+ACAAdQBAAFkAMAArABUAMAAXAFsA
>MQBdADIA+v/3/1X/lP/K/kL/j/4g/4r+G/91/g//UP76/mj+CP8D/2X/9//2/6sAYQCgAFoA
>2v/k/+3+WP9s/gv/df4Q/6/+Mv+6/jr/iv4e/1j+//5H/vb+N/7s/ub9vP5O/WL+vPwM/oX8
>6/2r/AH+3vwg/tP8Gv6Y/Pb9k/z1/TD9Uv58/hf/KAAWAL8BCAHzAr8BvQM3Aj8EhQKzBMkC
>NwUYA8wFcQNDBrkDUgbCA70FaQOWBLsCOQPrARgCPgFpAdYAEgGkAMgAeABcADkA3//u/37/
>tP9Q/5n/SP+U/1D/mv9m/6f/lf/E/93/7/8TAA8ABwAJALX/2P9R/5z/Kv+G/2j/q//g//P/
>NQAlABYAEwCF/73/2/5Y/4/+LP/q/mL/vf/g/4MAVgCyAHIAJgAfAEb/m//E/k7/Cf92/+D/
>9/+XAGQAiwBdAK//2v+U/jP/8/3T/hr+6/7G/lL/ZP+v/47/yf9K/6D/5P5k/6P+P/+T/jb/
>lv43/4n+Mf9l/hz/Nv4A/w/+6f4E/uL+Hv7y/lz+GP+v/kr/Av97/0//qf+Z/9b/5/8EACoA
>LABHAD4ALQAuAPD/CwC2/+n/n//b/6X/4P+z/+j/vP/t/8//+f/9/xYAQQA9AHIAXAB1AF0A
>TwBIACQALQAMACAAAwAbAOj/CwCs/+j/Xv+5/xT/jv/h/nD/1f5p/xP/jv+5//H/tQCHAKIB
>EwHzAUQBYQHuAEYARgBt/8X/i//X/6gAgAAUAlkB5ALVAZ4CrAF4Af0AJwA1AFj/uv9Z/7r/
>BgAiAPIArwClARgBzwEyAXkB/wABAbgA4QCkAFsB7QBGAnoBJwP+AYkDOQJWAxsCxALEAR4C
>YgGKAQoBHwHKAAEBtwBtAfgAcgKUAcoDXwLuBA0DhQVmA6YFegPMBZEDWAbkA0EHbwQoCPcE
>sQhJBc4IWQWsCEYFewgoBT8IBQX+B94E0AfCBNoHyAQdCPAEWQgTBUEIBQXSB8IEYgd9BFoH
>egTfB8gEoAg7BSYJigUkCYkFoQg7Bd4HxgQnB1kEvAYZBNIGJgRuB4MEVggLBQcJdQUVCXwF
>fwghBcQHtASJB48EBgjYBOQIXQWHCb4FlwnHBSwJhQWbCDAFGgjhBKQHmwQ1B1gE/gY3BD4H
>XQT4B8sEugg+Be4IXAVSCP4EOQdXBE4GygMRBqYDfgblAyUHSASUB4oElweLBEwHXQTlBiAE
>iAboAz4GuwMHBpoD5AWEA9sFfgPwBYoDHwakA04GwANYBsUDGwagA6EFVwMwBRQDIAUJA5YF
>TgNOBrsDygYEBLEG9AMbBpoDggU+A1gFJQOwBVgDOwaqA6YG6gPhBgwEFgcpBGAHVQSlB34E
>rgeCBHAHXQQoBzEEIwctBHAHWwTSB5QE8AelBKsHewQwBzEEyQb0A5UG1AN9BsUDWgauAyUG
>jwP5BXMD8wVvAxQGgwNDBp8DZQaxA2kGswNKBqAD+gVwA3oFIwPjBMkCbwSDAlcEcwKnBKMC
>OAX4AsYFTAMfBoEDOwaQAyQGggPnBV0DgAUfA/UEzAJnBHcCEgREAhwESgJxBHwCugSnAqkE
>nAI1BFcCwQMRAsoDFQKABIICgAUaA/wFYwNZBQEDsgMGAtkB7QDUAFEAHQF8AFsCOAGuAwAC
>WARlAjEETwKTA/AB8wKRAYECTQEzAh4B+AH7AO0B9QA3AiABxQJ0ATsDuwEiA6sBQAIlAdwA
>UgCb/5L/Lv9R/+H/vP9pAaUA/gKVAcADCAI8A7sBuQHTABYA2v9G/1//pf+Y/8cARAC8AdYA
>zwHgAP4AZQD0/8f/d/99/9j/tv/EAEIAnAHEAO8B9QC1AdMAOwGKANIATQCjADIApwAzAMsA
>SAACAWsATAGWAKQBywDyAfkADwILAd8B7wBmAacAzgBOAF4ACwBTAAUArwA9ADUBjQCIAb8A
>cwGyAAcBcwCZADEAeQAdAL0ARgA2AZAAlAHIAJwBzQBKAZ4AygBTAFsAEQAmAPH/MwD6/10A
>EwBvAB8AQQAFANn/x/9k/4L/G/9W/xj/V/9T/3r/pP+q//T/2v9DAAwAqABGACIBkQCfAdsA
>/AETASoCMAErAjEBGgIpARUCJQEoAjEBTgJJAWoCWQFUAk4B8wEUAUwBsgCEADwAxf/L/w7/
>YP9E/uj+Uv1Y/lb8w/2o+1z9lftS/Rb8n/24/AH+8Pwj/nD81/1k+zj9UvqX/Ln5PPzJ+Uf8
>VPqb/P/6AP1u+0P9Zvs//eD67/wD+m38MPnw+8z4tfsZ+eT7/Pls/Av7Dv3F+3393PuM/V37
>Qf2c+s78Afpz/NH5WPwY+oP8qPrY/DL7Kv1p+039KPsn/Yj6yPzQ+Vv8U/kT/EP5CfyT+Tn8
>Bvp+/Fb6rvxb+rL8GPqK/Lb5Ufxy+Sr8evkv/NP5ZPxW+rL8w/r0/Of6Cv29+vD8afq//Bz6
>k/zw+Xj83vlu/OT5cvwO+oz8evrN/Cv7N/31+679e/z//Wb88/2h+379bfrI/FL5IPze+Nv7
>a/kw/Of6Ev3e/D3+qv5O/7//9f/y/xMAgP/P/9f+a/9W/h7/Fv74/vL95P68/cP+X/2M/u38
>Sv6H/A7+Q/zm/Sn81v0x/Nr9Vfzx/Yb8Dv6v/Cb+vPwv/qf8Iv55/Af+TPzs/TL83P0z/N39
>Rvzq/WD89/10/AT+gPwM/oz8Ev6Z/Br+o/wh/qX8If6c/B3+lPwZ/qD8H/69/DD+yfw3/pn8
>G/4n/Nb9tvuU/bP7kf1c/Pf9dP2d/lz+Jv91/jX/qf27/n78C/69+5j93Puq/an8JP6P/az+
>+/3s/sT9zP4l/W3+gfwM/if81v0t/Nj9gfwL/vL8T/5H/YD+VP2I/h79aP7a/D/+yPw0/vr8
>U/5L/YP+ff2f/nT9mv5L/YL+J/1s/hf9Yv4b/WX+Qf17/q79vP5s/iz/NP+j/4L/0f/3/n7/
>x/3K/qr8IP5b/PD9AP1T/hj++P7r/nX/Kf+a/w7/i/8O/4r/Uv+y/5j/2/+D/87/+f59/zT+
>CP+B/Zz+/PxN/qL8Gf55/P/9nPwU/hz9YP7A/cH+Gv72/tn90P4d/V/+a/z2/Uf83/3J/C3+
>kv2k/iD++P4w/gH/6f3X/qb9sP6v/bT+A/7m/mn+Iv+W/j3/Yf4e/9j9y/45/Wz+2vw1/vT8
>RP6E/Zj+QP4I/83+XP/2/nX/zP5b/4r+M/9t/iL/g/4v/6/+Sf/O/lv/2f5i//T+cv9R/6j/
>DAAYABQBtQAmAlcB9ALRAVQDCgJbAw4CVAMKAoQDJgL/A28CmATKAhAFEQM8BSsDIwUcA9YE
>7wJfBKcCqQM7AqoCowF/AfEAZABJAI3/yP8S/4D/7f5q/xL/f/9u/7b/3//4/xkAHADY//T/
>CP94//T90/4Y/VH+0/wp/ir9W/7N/bv+Z/4X/9L+V/8b/4L/UP+i/2L/rf80/5H/zv5T/2f+
>F/9E/gH/fP4j/+b+Yv84/5L/Qv+Y/wn/dv+t/j//S/4F//D9z/6e/Z3+Yv16/j79ZP4d/VH+
>2Pwm/lP82f2x+3b9OPsw/S/7Kv2M+2H9+/uj/Rv8tv3R+4n9YftH/T/7Mf2m+3D9bPzl/Rn9
>S/5S/W3+Fv1K/rv8FP6Z/P79y/wc/ij9Uv5u/X3+hP2J/nT9f/5f/XP+Xf1y/nH9fP6W/ZP+
>yP2w/uX9wv7E/a7+S/1l/pz8/v0f/LP9P/zF/R39Sv5v/hP/rP/P/2oAQACaAFwAcABDACgA
>GADb/+n/g/+0/xn/dv+n/jH/Kv7n/o39if7J/BT+CPyh/aj7af33+5f93/wh/uD9uf5b/gH/
>Av7M/g79O/4X/Kf9nvtf/cv7ev1g/NP9+vwu/kP9Wf4i/UX+rfz+/SD8q/3B+3L9uvtt/Qj8
>m/18/OD93PwZ/gj9M/4C/S7+4fwa/sD8Bv60/P/91vwS/kL9U/7//cT+8f5T/+n/5v/HAGkA
>lAHjAGUCXwEvA9YBuAMnAr0DKwI6A9wBcwJlAdABAwGUAd8AxAH8AEMCRwH2ArEBuwMmAlUE
>gQJqBI0CywMuArEChwG/AfYAkAHZAD8CQgFSA+UBEwRWAh0EXAKkAxQCKQPLAQwDuQFGA9sB
>jQMFAp8DEAJ7A/oBRQPaASIDwwEcA8ABLgPKAU0D3QF2A/QBpQMQAtoDMAIjBFsCiwSYAgMF
>3wJXBRADTwULA90EyAI9BGgCzgMmAsoDIwIdBFUCdQSIAosElQJWBHQCBQRGAs4DIwK+AxoC
>wAMbArkDFgKhAwgChAP3AWUD5AFCA88BFQO0AeYCmQHQAooB5wKXATEDxAGeAwUCDgRGAlsE
>dQJsBH8COQRhAsoDHgI7A8kBtwJ7AW0CTwF9AlgB3gKRAVAD1AFsA+UB5QKVAdUB9ADGAFIA
>bAAcACYBigClAnABJQRUAuoExwLKBLUCLgRZAqsDCgKEA/MBowMFAtADIAIFBD8CXwR1At0E
>wQJGBf8CTgUEA+gEyAJeBHUC/gM9AtgDJgKgAwUCDQOuASMCIgEwAZIAhwAuADEA+/8CAOD/
>xP+7/2n/hv/3/kH/af7t/rz9hv4V/ST+yfz2/RL9Iv68/Yj+LP7L/tT9lv65/O79ifs6/Q77
>8fyD+zj9bPzC/Qf9H/7p/A3+QPyp/YP7Of3/+uz8uPrB/JH6q/yO+qn8x/rM/C37Cf2G+z79
>lvtI/V77Jv0c+wH9Fvv9/Ez7Hv2E+0D9hftB/UT7Gv3b+t38bvqd/Bn6avz++Vv8UvqN/DP7
>E/1j/Mn9Wv1b/or9ef7U/A7+pPtZ/an6xPxf+pr80vre/KL7W/1d/Mr9sfz8/Yb84/0E/Jf9
>hvtM/Xj7Rf0T/KL9If1E/gj+zv4p/uH+Vv1l/v77mf3g+u/8k/rC/D37Kf2a/Pf9OP7v/qb/
>yf99AEkAgQBOAM7/4//i/lb/Zf4O/67+Of9v/67/8f/6/5//y/+H/iX/T/1s/q/8Df7r/DL+
>vv2w/qT+Of8u/43/Kf+K/5X+M/+c/Z/+rvwR/lD82/3T/Cr+9v3X/vH+bf8G/3n/Gv7w/tz8
>Mf4s/Mr9a/zx/Tj9a/7V/cj+1f3J/mX9h/4B/U3++/xJ/jz9cP57/Zf+k/2k/o79ov6G/Z7+
>ev2X/mH9if5Q/X/+fP2a/gX+7P6//lr/Pv+n/zT/ov+x/lX/Iv4A/+/94v4l/gP/dP4y/3f+
>NP8M/vX+cP2Y/gv9XP4n/W7+vv3J/nX+Nf/R/mz/f/47/5D9r/6E/A/+AvzC/XP8Bv6y/cL+
>Cf+P/7D/9P9K/7j/I/4H///8Wv6U/Bz+Fv1p/hr+A//e/nn/yP5q/8D9z/5K/PD9N/tN/S/7
>SP1J/PD9/f3z/nf/1P8hADoA8/8dAFn/wv/Y/nf/pv5Y/6f+Wf+f/lb/bv43/xH+Af+K/bH+
>1vxE/gz8zf2E+3z9qvuS/an8K/4k/gv/U/+//4P/3f+M/kn/8PxU/ob7fP3u+iL9Vvtg/Xf8
>DP7H/dP+uv5j//P+hv9m/jH/af2b/ov8Fv5B/Ov9lfwd/if9c/6E/ar+kf2y/qX9vf4k/gj/
>C/+R/8//BgDA//3/n/5Q/9z8Rf5h+2P96vob/Z/7h/0U/WT+kv5G/4H/1P+e/+b/C/+O/zb+
>D/+n/bn+vP3F/mT+Kf8s/5//fv/R/yH/mf9g/ib/1P3S/uf93P58/jX/EP+M/yH/lv+T/kH/
>tv2+/vz8Tv6m/Br+svwi/v/8Tv5r/Y/+2v3Q/if+/v4f/vn+q/2z/vb8SP5b/Or9L/zP/X78
>/v0D/Uz+V/1//kb9c/7t/D7+n/wP/pT8Cf7I/Cf+9vxB/tH8K/5H/Nn9hftm/ej6B/23+un8
>/voT/Yv7Zv0O/LP9TPzZ/T/80f0V/Lf9Bvyu/TX8yv2T/P/96Pwy/gT9Qv7i/C7+sPwQ/q38
>Df74/Dn+cf2B/tv9wP4K/tv+B/7a/gn+2/4z/vL+ev4c/6z+Ov+o/jb/dv4Y/zz+9f4E/tT+
>tf2l/jP9Vv6b/Pz9TvzN/Z78/f19/YH+av4O/9H+S/9+/hr/zf2v/lz9bP6X/Y/+af4L/27/
>pv9GACYAzAB2AA8BnQAkAakAJQGpADUBsgCFAeEAKAJCAegCtAFYA/cBHgPTAT8CTgEYAZ4A
>FAAEAGX/m/8H/2P/8v5W/zz/gv/p/+n/rQBdAAIBkACJAEcAcf+h/2z+Bf8e/tX+mP4f/1L/
>jv+i/73/XP+S/9j+RP+U/hz/uv4x/xL/Zv9R/4v/Zf+W/2b/l/9k/5b/Sf+G/wH/W/+z/iz/
>qv4n/wf/Xv+O/63/1//Z/7n/x/+F/6j/wP/L/6UAUwDrARUB9wK0AWQD9AEwA9YBmgJ9Ac0B
>AgHNAGoAqP+9/7T+K/9a/vX+yv42/7f/xP+OAEUA2ABwAH4AOwDA/8n/8P5O/0/+7v4G/sL+
>Ov7h/vH+Tv/p/+L/rQBWANgAbwBnACwAxP/L/2T/k/92/5z/w//L//T/6P/j/97/rv+//4f/
>p/+H/6j/rP+9//L/5/9bACYAzwBrAA8BkADQAGsADQD3/yj/bv+s/iX/6/5L/7L/wP9xADMA
>rABVAFAAHgC0/8H/Sf+C/1D/hv+7/8b/RgAYAKsAVQDBAGIAlABHAF0AJwBaACYApgBRAA4B
>kAAwAaQA0ABrABgA//+L/6n/pv+5/3gANwCKAdsANAI/AQoCJgEmAZ8ABADy/yX/bf/a/kL/
>LP9y/+//5//aAHEAjgHcALsB+ABEAbEAXAAnAH3/ov8b/2j/bP+Z/1AAHwByAc0AgAJsAVID
>6QHiAz8CPQR1AnEElQKUBKkCxATFAh0F+wKrBU8DSwavA7IG7AOGBtEDmAVFAxUEXwKCAm8B
>fgHVAGEBxAD/ASEBuwKSAfcCtQF3AmgBgwHYAK8AWgBoAC8AqABVABABkwAzAagA7QCAAG4A
>MwAJAPj/9P/q/yAABABMACAAPgAXAO7/6P+T/7H/c/+f/6D/uv/f/9//1P/Y/17/k//K/jr/
>of4i/zX/ev9HAB4AKAGjAD4BsACBAEEAif+u/xX/af92/6L/ZAAwAEcBtwCoAfAAcwHQAOMA
>fABGAB4A3f/g/9T/2/80ABQA1gB0AFkBwgBfAcYA3AB3ACgADgDQ/9n/IAAIAPQAhwDUAQwB
>WQJbAWICYAECAigBXQHFAJMATgDm/+f/v//Q/20AOADSAQwBQQPmAegDSgJmA/wBDwIxAasA
>XQDa/+H/sv/J/+P/5/8hAAsAdQA+ACEBpABFAlIBpQMkAsYE0QI7BRYD4wTiAuoDTQKoAo4B
>dwHZAJ0AVwAvABYAIAANAEEAIQBmADgAgQBIAJYAVACoAF4ApQBdAHwARQBFACQAOAAdAHwA
>RwD5AJEASQG/AAkBmQAtABgAGv90/1/+Bf9g/gb/HP92/0IAJABjAdAAGwI/ASkCSAF5Ad4A
>QQAlAAb/af9e/gf/kP4l/2D/oP8xAB0AgQBNAEIAJwDT/+X/of/I/9D/5P8kABYATwAwADUA
>IAD+/wEA3//t/+z/9f8MAAkAIgAWACEAFgATAA4ABAAFAOz/+P+6/9r/YP+k/+f+XP9//h7/
>Yv4O/77+RP93/7L/KwAeAF8APADd//D/+P5n/1n+CP99/h7/Sv+Z/xIAEAAkABkAav+s/3/+
>IP8m/uz+pv44/4j/vv8OAA0AyP/k/+/+Y/8T/uL+rv2k/tD9uf5I/gD/1/5W/1L/n/+P/8T/
>Z/+s/9v+WP8u/vL+2v3A/iL+6v7Y/lf/cf+y/3j/t//v/mX/Q/4A//P9z/4n/u7+qv48/y3/
>iv9//7v/m//N/4//xf9j/6r/J/+G//n+bf/x/mf//P5u/+X+YP+U/jD/Qf7+/l3+EP8s/4r/
>ZwBGAGEB2wCAAe0AuwB3AKX/0//t/mT/2/5b/zL/jv91/7b/Yv+q/xf/ff/x/mf/NP+O/97/
>9P+uAHEAUAHQAIsB8wBuAeIAVwHUAMEBEwHsAsUBlgTDAgsGoAOZBvQDHgarAywFGwObBMUC
>7AT0AusFjAP2BisEjweHBKoHlgSNB4UEZwduBBkHQARxBtwDfgVMA6sEzgJsBKkC1QTnAoQF
>TwPtBY0D2wWCA4QFTgNeBTcDsQVpA2AG0QP/BjEEIAdDBJkG8gOhBWADrQTOAjMEhgJuBKkC
>PgUkAz8GvQMEBzIEWgdlBF4HZwRMB10EUAdfBGIHaQRdB2YEKQdIBNwGGQSlBvgDrQb9AwMH
>MQSdB4sEYQgABScJdgW9CdAF8AnuBaYJwQXoCFEF8Ae9BBIHOASfBvMD0AYSBKMHjwTNCEAF
>xQnTBQMK+AVZCZIFFwjTBOMGHARPBsQDfwbfAyYHQwTcB7AEZQgABcoIPQUfCW8FVgmQBUYJ
>hgXaCEUFOAjlBKkHkQRnB2kEeAdzBLYHlwT2B70EFAjPBPgHvgSUB4QEBgcvBJgG7QOiBvMD
>QAdRBCUI2QTHCDgFvgg0BR0I1QRTB1sEzgYNBLIG/APSBg8E9wYlBA4HMgQhBz0EKQdCBAcH
>LgSmBvUDMAavA/AFiAMTBp4DdAbXA7cG/gOfBvADQwa5A/YFiwP1BYsDMwavA2oG0ANbBscD
>/gWQA3MFPgPpBOsCgwSvAmQEnAKmBMMCRwUjAwcGlQOABtwDXwbKA6oFXQPABNICHQRxAv8D
>XwJGBIsCrATHAvEE7wILBf8CGgUHAz8FHgODBUYD0wV2AwYGlAPwBYgDdgU+A6UEwQK8AzcC
>FgPVAfwCxgF3Aw8CSwSNAhQFBAN2BT4DPgUdA3kEqAJwAwkClAKHAUkCWwGvApcBhgMXAkoE
>jAKSBLgCSgSMArUDNAIzA+UB8AK+Ad4CswHfArUB+wLEAVUD+gH+A18CwgTUAjsFGwMbBQgD
>ZQScAnMDDQKvApgBWAJjAWMCagGXAooBuAKdAaECjwFVAmIB7AEjAYwB6wBcAc4AcwHbANkB
>GQGLAoMBdQMNAmoEoAImBQ4DYAUxA/cE8gIWBG0CIwPdAXkCeAEzAk4BIAJDAQwCNwH5AS0B
>JwJHAcACogGdAyUCQwSIAjwEhAJ1Aw4CVAJjAWwB1wAfAaoAeQHgAD4CVAEeA9oBywNBAgkE
>ZQKxAzEC3AKyAfEBJwFxAdsAqgH9AHYCdgFXA/sB0gNFAsADOwJaA/4B/ALGAeQCtwEVA9QB
>cAMLAs0DQwL+A18C3ANMAlYD/AGMAoMBzAESAWgB1QBzAdwAuwEHAfQBKQH8AS0B6gEkAewB
>JgEBAjEB6wEkAWoB1wCAAEwAi/+5/wf/bP84/4n//f/+/+AAhQBlAdQAUQHIAL8AcQAPAAkA
>of/H/6H/xv/6//3/ZQA7AI4AVABQAC8Axf/d/z//jP8S/3L/c/+s/1IAMQBZAc4ACgI3Af4B
>LwErAbEA/v///y3/hP9E/5D/OAAhAHEB2wAoAkgB/gEvATIBtgBhADkA+//9//r//f8LAAcA
>//8AAP//AABaADUAGAGnAN0BGwEjAkYBuQEGAeQAiAA0AB8ABQADAEsALQCvAGgA3wCFAMcA
>dwCFAE8ARwArADAAHQBIACsAggBOAKoAZgCJAFEAAwACAEr/k//H/kb/1f5O/3X/rf9HACoA
>4wCHACgBsABOAcYAkwHwAPIBKAEnAkgB+QEtAYgB6AAvAbQAKgGxAFcBywBSAckA6QCLAFIA
>MQANAAgAbwBDAE4BxwAqAkoBgwJ+ATgCUQGCAeUAxwB3AEoALAAoABgAUAAwAJ8AXgDkAIgA
>+gCVANcAgQCVAFgAVQAyACIAFADu//X/sv/R/47/vP/B/9r/XwA5ACkBsACaAfQATwHGAE8A
>LgAg/3v/af4N/37+Gv9B/47/RAApABYBpgB5AeAAWgHNAMcAdwDn//H/+f5k/0f++v4T/tr+
>bf4R/y//g/8NAAgAtABsAOAAhQBuAEIAdP+t/0L+9/5B/V7+vvwQ/rb8C/7l/Cb+/fw2/vz8
>Nf4l/Uz+u/2n/rX+O/+c/8T/5f/w/1b/nf9B/vb+SP1i/vf8Mv5t/Xf+Tv7+/hT/dP9Y/5z/
>A/9q/0r+/P5//YP+8/wv/tn8If47/Vr+7/3G/qn+NP8T/3P/+v5j/2j+Df+k/Zn+DP0//uT8
>J/4m/U7+lP2Q/t79vP7X/bf+hf2G/hX9Qv65/A3+mPz5/b/8Ef4f/Ur+iv2K/rv9pf5+/YL+
>4Pwk/i38uf3D+3r9wPt5/eD7i/28+3b9Mvsk/aP60Py0+tr8uPt0/VL9af6p/jT/+/5k/zb+
>8P79/Db+Jfy1/ST8tP3V/B3+rv2f/jL+7v45/vL++/3N/tj9uP4Z/t/+v/5B/2j/pv+M/7r/
>0f5M/3j9fv5K/Mv9HPyw/Sj9T/7I/kb/4f/u/7j/1v99/hn/GP1G/m784P2y/An+Zf10/tb9
>tv61/aP+Pv1d/ur8K/4K/T7+l/2S/lb+A////mf/Xv+g/1v/nv8G/2v/kv4n/0H+9f42/u/+
>aP4O/7H+Of/0/mH/Kf+B/1H/mP9d/57/Qv+P/yP/ff9L/5T/4//u/68AaAAKAZ4AaQBAAOL+
>Vv85/Vn+YvzY/cX8E/73/cv+Kf+A/8X/3f/Q/+T/qv/N/5X/wf+O/73/eP+v/13/n/91/67/
>2P/o/1QAMwCHAE8AMwAfAHX/rf+i/jD/Av7Q/qb9mv53/X/+Vv1r/h/9Sf6v/Af+8fuW/Q77
>D/1i+qj8RfqX/LD61vwn+x79I/sc/YP6vvy/+Uf8dvkd/Ob5Yfyx+tf8Nfsn/ST7HP2v+tf8
>SfqZ/Cf6h/wr+on8GPp8/O35Y/zw+WX8b/qx/Hf7Tv3O/Bn+I/7l/jL/hf/G/97/x//f/1L/
>mP/K/kj/u/4//3X/rf+9AHEA6QEjAV8CaQEFAjQBUwHJANcAgAC/AHEAwgBzAHcARgC0/9L/
>pv4y/5H9jv6d/Pz93fuL/XD7Sf17+1D9BPyi/b38D/4f/Ur+1fwe/vv7nP0R+xH9l/rH/K36
>1fwS+xL9XPs+/U77Nv3y+v/8f/q6/DX6jvxG+pn8wvrh/JD7Xf1y/OT9IP1L/nL9e/6B/YT+
>mv2T/v39zf6v/jj/gP+0/ywAGgCMAFQAqgBlAJ4AXgCKAFEAdwBIAGwAQABkADwAXQA4AGEA
>OQB+AEoAwQBzAB8BrABuAdoAeAHfACkBsQCuAGcAXAA2AGgAPgDCAHMAFgGmABoBqADHAHYA
>WgA1ABkADwAgABMAVQAzAJUAWADVAH8AIQGsAHsB4gDMAREB7gEmAc8BEgF9AeMAHwGqANQA
>fQC3AG0A3gCDAEkBxADeARwBXAJnAXoCeQEcAkEBcwHdAOgAiQDQAHwAOAG6ANkBGQFHAloB
>QAJWAccBDwEWAaUAawBAAOP/7/9r/6f/1/5P/wj+0/4F/Tr+/vuf/S77Iv2x+tn8fPq4/Gv6
>r/xs+q/8gvq7/LT62vzu+vz89/oC/aX60PwF+nH8Z/kU/CH57PtO+QT8pvk5/MP5S/xp+RT8
>wPix+y34WvsU+Ez7nvic+6/5PvwD+wj9RfzI/SD9S/5X/Wz+7Pws/ir8uP2N+1r9bvtJ/cj7
>fv03/MD9VfzS/QP8ov19+1D9FfsU/e36/Pza+vH8pfrQ/D36k/zK+U/8d/ke/Er5Avwo+e77
>//jW+9b4vvu6+K37nfib+074bfu79xb7Hfe3+uD2lPpf9976ffiJ+7X5Qvxg+qn8NPqN/F/5
>Dvxl+Hv7yfce+9D3Ivt0+IP7evkf/ID6uvwc+xj9C/sN/Vf6ovxv+Rn87PjL+zr5+vtQ+p78
>w/t7/Qz9Pv7T/bT+FP7b/vv9zP69/af+gf2D/l79b/5V/Wv+Vf1p/jr9Wv7u/C3+f/zr/Q78
>p/27+3f9d/tO/R/7Gf2j+s/8KfqH/P/5bvxJ+pr81vru/DH7JP3++gb9QfqW/GL5Efzp+Mj7
>HPnn+9v5WPyt+tb8GvsW/ef69/wy+oz8YfkQ/Ob4x/sK+dv70PlS/AX7Cf1c/Nb9lv2R/nv+
>GP/d/lP/n/4v/8/9sv7A/BH+5vuP/ZH7Xf22+3P98vuY/eT7j/14+0796fr6/Ib6vvxp+q38
>dvq1/JT6x/zR+ur8QPsu/cn7f/0T/Kv90fuD/RP7E/1D+pb80flS/Mj5TfzV+VX8rfk9/F/5
>D/xR+Qf8zPlR/Kn60/xk+0L9l/th/Ub7Mf3N+un8d/q2/E/6nvw6+pH8P/qU/JD6xPw9+yv9
>+PuZ/Tv8w/3K+3/9CPsM/bz63/xt+0j93fwi/in+6P54/hf/nf2V/i38uf3++gX9kvrG/Nr6
>8fxn+0T9yft+/dP7hf2b+2T9Vfs6/Tb7J/1f+z/9zPt//Uz8zP2h/P/9ovz//WH82f0t/Lr9
>WvzW/Qf9O/78/c3+x/5F/wD/aP+J/iH/o/2Y/r/8EP41/L79D/yo/Rb8rf0Q/Kf9Avyh/Tr8
>wv36/DT+K/7p/kv/lf/L/+D/df+s/6H+L//r/cP+sf2h/tb9tv7s/cP+p/2b/iH9Sv7B/BH+
>4fwk/nr9gP4v/uv+g/4d/zP+7v5e/W7+cfzh/fb7mf1H/Mr9WP1r/qz+Nv+c/8T/tf/U/wn/
>bf8O/tj+VP1p/iH9S/5d/W7+vf2o/gT+0v4N/tf+w/2s/hn9Rv4p/Lf9Rvsw/eL69fw2+yf9
>CPyk/cH8Ev7i/Cb+X/zY/an7a/1Q+zf9nvtk/WT82/0v/VP+hv2G/jr9Wv52/OX9rftu/Wr7
>Rv0A/J/9UP1o/sX+RP+l/8r/k/+//8T+Rf/R/bT+N/1Y/gz9Pv4Q/UH+Dv0//hH9QP5J/WT+
>v/2o/jL+7f5U/gH/E/7b/q39nf5x/Xv+h/2I/tP9tf4o/uj+Yf4J/2v+D/8m/uf+jv2M/tT8
>Hf5y/OL92fwg/gf+1P5j/6L/GAAPALv/1/+R/iX/W/1t/r78EP7W/B7+Rv1h/pv9lP6d/Zb+
>X/1x/h39Sf4Z/Ub+gv2F/lv+Bf9U/5n/6v/y/67/z/+6/j7/tP2j/mn9df4e/uL+Vf+b/zIA
>HQApABgAb/+q/7P+Ov95/hj/t/49/+3+XP+s/jb/8P3G/hn9R/6h/P79yfwX/oz9i/6g/i//
>jf+8/9j/6P9M/5X/Nv7v/kf9Yv4r/VH+/P3O/iP/fP/A/9v/W/+e/zL+7f4Q/UD+qvwF/kH9
>X/6T/ib/IAATAHYB3wBKAlwBiwKDAW8CcwFoAm4B4gK3AeUDUQLsBO0CLAUTAz0EhQJyAnUB
>swBrANT/5v8BAAEAuQBvADwBuwAcAakAbABAAIj/uf/Y/lD/q/41/x3/ef8ZABAARgHCABYC
>PgEgAkMBXgHQAEUAKQBr/6f/Iv98/1X/mv+w/9D/+P/7/yQAFQA6ACIAJwAYAML/2////mf/
>FP7c/mL9cv44/Vn+rv2f/p3+Lf+//9n/ugBvAD0BvAAUAaQAZQA8ALn/1f+p/8z/XgA4AFsB
>zgDGAQ4BLgG0APD/9//w/l7/0v5N/1r/nv+p/8z/Fv91/+b9wP4V/UT+ff2D/gb/bP+xAGgA
>ZwHWANwAgwCu/8//x/5G/6T+Mv8R/3L/fP+x/3n/sP8A/2j/Uv4A/8P9rP6j/Zf+G/7g/h3/
>eP8xABwApQBjAAIAAQB2/hf/4Pwk/jj8wP3b/CH+Of7y/k3/lf9f/6D/iP4h/4L9hf4R/UL+
>ff2B/oD+G/+E/7b/AQAAALH/0f+x/jn/gP2D/sz8Gf4a/Uf+VP4B/8n/3/+TAFcASAAqAED/
>jv9D/vj+4/2+/gn+1f4x/uz+8v3H/m39eP4L/T/+EP1C/kv9ZP5V/Wn+/fw2/n786v0+/MT9
>dPzl/QP9Of6i/Zj+GP7d/lX+A/9a/gX/Lf7q/uv9w/7V/bX+Hf7i/r3+QP9j/6H/wv/b//L/
>+P9iADoAbwHaAOwCvQEsBHoCjwS2AhwEcgJ4Aw8CTQP3AbQDMwIdBHIC7gNWAhQD1AELAjgB
>YAHRACwBswAaAagA4wCHAJgAWwCKAFIA1AB+AB8BqgDgAIQA3v/s/3v+Gf9x/Xv+S/1k/gz+
>1v5A/47/VAAyAO0AjQAEAZoAyQB3AIIATgBkADsAfQBLAK0AZwC4AG4AhgBQADgAIQAdABIA
>ZAA8AOkAiwA/Ab4ABgGdAEsALQB+/7P/Iv98/1n/nf/M/+D/9v/7/5z/xf/8/mb/ov4x//P+
>YP/e/+z/6QCLAH0B4gBTAckAkQBWALD/0P8l/33/JP99/5L/v/8nABgAnQBdANMAfQDVAH4A
>0wB+AAUBnACPAe0AXQJnASED3AFzAw0CFQPWASUCRgEWAaUAZwA9AFIAMQCzAGoAKwGyAHEB
>2gBoAdcAFQGlAIYATwDg/+3/gv+1//f/+v+aAfQAGwRxAoAG3QOdB4gE+gYmBCQFDwNeAwAC
>pgKTAQ4D0gHGAz4C4wNQAiMD3gESAjwBhwHpAOkBIwHgArYBngMmAnwDEgJuAnIBBwGcAAsA
>BwD8//3/wwB0ANEBFAF4AncBWwJnAaMB+ADZAIEAhwBQANkAggCKAesAEwI7AQkCNgFjAdQA
>eABHANf/5//3//r/5ACIADACTgEZA9cBBAPLAfYBKgGqAGUALAAbABoBpwAsA+MBaAU3A84G
>CwQHBy4EhwbiAxMGnAMfBqMDnQbvAykHQgR1B28EdwdwBFMHWwQ2B0kESQdVBKwHkARmCP4E
>QgmBBcYJzwWDCagFbggCBQ4HMwQzBq8DVAbDAz4HTwQ5COQEjwgXBRUIzgQzB0gEkgbpA6IG
>8QNgB2IEcAgEBVYJjQXDCc4FrwnDBWAJkwUvCXYFRgmEBW8JnAU3CXoFVQj0BAAHKgTlBYED
>uAVmA58G7wMSCMwEOwl+BY0JrgUVCWcFWAj2BN8HrQTkB7AEUgjyBPQIUwWdCbcFIQoFBlUK
>JQYdCgMGjAmtBeIISAVqCAEFOwjlBCgI2gTtB7YEYAdiBJwG7wPtBYYDnQVXA8kFcQNZBsYD
>/QYnBFMHWwQUBzUEQwa5A0QFIgOoBMQC2AThAs0FcwMXBzcEHwjUBIwIFQVbCPgExQegBP4G
>KAQlBqcDXgUwA+kE6wINBQED2AV7A/wGJwTnB7MEHgjTBI4HfgSfBvAD7AWFA90FfANlBs0D
>DQcxBEUHUwTPBg0E7wWHA0MFIANCBSAD4gWAA5MG6QOwBvoDEwacAzYFGQPjBOgCeAVBA5sG
>7QNzB20EYQdkBH0G2wN3BUADAAX5AjoFHAO6BWcD9gWLA7wFaQNOBSgDDwUCAy4FFQOKBUsD
>3AV7A+wFhQO1BWUDTAUnA+EE5wKqBMYC0QTdAlEFKQPiBX8DHQajA80FdAMmBRADrQTIAtgE
>4gK3BWYD2AYSBJEHfwRvB2wEZAbNA88E3AJKA/QBaAJuAYECfQFuAwoCmAS8AjMFGAPFBNcC
>hwMZAk0CXgH1ASoBvgKhARMEbAIEBfsC/QT3AjcEgQJ3Aw4CbwMLAkIEiAJ0BT4DUwbCA2AG
>ygOLBUwDJQR3ArQCnQHJARABxwEPAa4CmQELBGgCIgUNA1wFMAOiBMECeQMRAqQCkwGqApYB
>gwMXAqEEwAJNBScDFQUFAwIEYwKSAocBZAHUAOwAjAA/Ab0AEgI7AfwCxgGmAywC9QNaAvAD
>WAKzAzMCVQP7AfYCwwHIAqcB6gK8AVID+QG8AzoC3QNMApIDIAIKA88BmgKMAXcCdgGTAogB
>sAKZAZQCiAE3AlEBwwEMAWkB1wBLAcUAaQHWAKYB+wDPARQBsgECATsBvACaAFwANwAiAGkA
>QAA2AbkAPgJVAf8CyAE6A+sBFAPUAeUCuAHlArkB/ALGAegCugF/AnwBzwETAQoBnwBkADsA
>BQACABAACQCMAFMAPQG8AIkB6gDDAHQAvP5A/xr8rv0R+nn8m/kz/Lj63fxs/OD9dP18/jH9
>Vf4F/KL95vr3/Jn6yvw1+yb9N/zA/fb8Mf4N/T/+ePzm/X77Uv2I+sD8B/pz/EL6lvwq+yD9
>RfzI/eX8J/6e/P79m/tk/Yf6vvwi+oP8rvrW/MX7fP2Z/Pr9hfzv/Xz7UP0M+nb8BfnZ++74
>zPu0+UH8rPrU/BL7Ev2O+sT8e/kf/LH4p/vs+Mv7MPqL/LH7cf1a/NX9kvte/bH5QPzR9yL7
>Bveq+qv3DPsz+fT7mvrK/CD7Gv20+tr85/lg/HH5Gfy5+UT8qfrT/NH7g/22/Av+Dv1A/tn8
>IP5F/Mf9j/tc/e76/PyA+rv8Vfqi/HT6tfzg+vX8jftb/WT83P1G/WH+E/7a/rf+PP8x/4X/
>iP+5/8T/3P/o//H/AQAAABEACgAeABIAGwAQAPL/+P+O/73/6/5b/x3+4P5K/WP+pvwB/mD8
>2P2J/PH9Df0//pr9k/7H/a7+SP1i/iv8uP3q+vr8JfqF/EL6lfwf+xn9Mfy7/d38Iv7l/Cj+
>ivzx/UX8yP11/OT9F/1F/uX9wP6J/iH/y/5H/6H+MP8b/t/+Uf1o/mr83v2X+2D9CfsM/ej6
>+fw++yz99PuX/cr8F/5p/Xb+f/2E/vr8NP4r/Ln9t/t0/Sz8uf2U/Y/+R/+S/1IAMQASAAoA
>qP40/+D8Jf6X+2H9N/so/Zv7Y/1T/ND9//w3/mv9d/6F/Yb+Tv1m/u/8Lv7C/BL+Ef1C/tX9
>tv6E/h7/cP4R/2D9cP7n+5D9DfsO/YX7Vv0Z/Uf+zf5J/5D/vf8Q/3D/1f21/sf8F/6N/PP9
>KP1P/iz+6v4o/4D/5f/w/24AQQDmAIkAbwHaABICOwG5Ap8BNgPpAVQD+wH/AsgBYQJpAc8B
>FAGMAesAhgHoAGIB0wC+AHEAiP+5/yr+6P4+/Vz+OP1a/gn+1f4h/3v/xP/d/3n/r/9L/v7+
>1/wf/uT7j/0B/J/9LP1R/t/+Vf9iADoAMgG2ADcBugCyAGkA8P/3/xn/d/8x/u3+T/1m/rb8
>DP7A/BH+iv2J/sX+Rf/J/+D///8AAEf/k/8j/uT+XP1u/nv9gP5d/gb/RP+Q/2j/pv+R/ib/
>S/1l/oT87v3T/B3+AP7Q/if/f/9l/6T/f/4b/xL9Qv4Z/K/9P/zE/WX9dP7F/kX/dP+t//v+
>Zv+b/ZP+Gvyu/VH7N/2t+239+Pwy/oX+H/+e/8X/5v/x/4X/uP/j/lf/UP7//s79s/4w/VX+
>aPzc/ar7bP1Y+zr9nvtk/Ur8zP3k/Cb+CP08/q38Bv4h/LL9vft3/av7bP3O+4H98fuX/ev7
>k/20+3L9UPs2/c366Pw3+o/8rPk9/FT5CfxQ+QX8pfk5/DH6i/y8+t78GvsW/T/7K/1B+y79
>Qvsu/VT7Of1s+0b9bPtI/UT7L/38+gX9vvrf/Lf62/wA+wb9k/te/T78xP2t/Ab+kPz0/dL7
>hP3L+uj8J/qG/In6wPwE/KH93P26/un+W/9e/gj/e/zo/XX6tPy4+UT82/rx/D/9Xf6K/7n/
>kABWAAoABgCU/ij/JP1N/nb85v26/A7+pf2a/qL+MP8d/3n/xf5E/7f9o/56/Oj9pPto/XP7
>TP2n+2v9xft9/Yv7Wv0z+yb9L/sk/cn7ff3U/B7+4v29/oT+Hv+S/ib/F/7e/kD9Xf5S/NH9
>uvt1/eH7jf3a/CH+OP7x/kb/kv+K/7r/IP97/53+Lf97/hj/rv44/8T+RP9s/g//0v20/nr9
>gP7H/a3+m/4s/3X/rv/X/+j/kv+//9P+Tf/2/cr+Zf1z/nf9fv4//vX+Xv+f/x8AFADr//P/
>zP5J/479jP4t/VL+EP7Z/qv/zv/vAI4AGwGoAC0AGwDC/kL/e/2A/qz8Bf5o/N79sfwI/mn9
>dv44/vH+j/4k/xr+3/4p/VD+lfz4/Q79QP50/hT/1//n/0UAKQCZ/8P/jP4j/w3+2P5m/gz/
>Fv91/1r/nf/h/lX/Dv7Y/pP9jv7n/b/+Af9o/3UARQC8AQgBagJwAVcCZAGrAf0A0gB9AE8A
>LwBpAD8A+wCWAIwB6wCpAfwAMAG1AFkANQB+/7L/6/5a/8j+Rv8a/3j/uP/U/z4AJQBAACYA
>i/+6/3P+FP+g/Zb+nf2V/mb+Df9b/57/vf/Y/0H/jv8+/vT+X/1v/ir9UP7E/az+8P5f/0wA
>LQBwAdsABwI1Ad8BHQEJAZ0A3//s/9v+Uv9f/gj/iv4h/zr/i/8zAB4AKgGxANkBGgERAjoB
>xgEOATABtQCqAGUAewBJAKQAYgDqAIsAAgGZAMoAeABVADQA4//v/7X/0//3//r/oQBgAF8B
>0gCoAfsADQGgALD/0f9P/v/+1f23/rD+OP9hADoA4QEeAVQCYwGvAQEBlABYALj/1f9r/6j/
>hf+4/8v/4f8gABMAdABFAJcAWgBDACgAb/+q/3j+F//k/b/+5P2+/h7+4v4E/tL+Y/1z/rH8
>CP6b/Pv9b/15/rf+PP+e/8b/kP++/6/+OP+3/aT+bv15/ij+6P6Q/77/4ACGAFMByQCNAFQA
>5f5Y/z39W/6A/Oz9IP1K/r3+P/92AEYAeQHhAHQB3ACfAF4Acv+s/1X+A/+Q/Y3+Xv1v/uL9
>vf79/mb/QQAmAB4BqgBKAcQA4QCFAEkALADl//D/3P/q/zEAHgDcAIIAuwEHAXYCdwGcAo0B
>+gEuAfQAkQBRADAApwBjANMBFgEXA9YBywNBAu0DVQIVBG0CywTZAvMFiQPmBhoEFAc1BH4G
>3QOnBVsDAAX6ApYEugIkBHYCfQMTArQCmwH5ASwBXgHQAMwAeQBBACcA7P/0//j/+/9ZADUA
>ywB4ABkBqABhAdIA4wEeAZwCjQEZA9cBzgKrAacB/QA/ACYAZv+k/33/sv8qABoAvABwAMgA
>dwBuAEEADQAIANr/6v+//9n/r//Q/+f/8v/MAHkAeAJ4AXQEpwL2BYwDaQbPA9wFfAPqBOwC
>TQSPAm4EowI7BRwDSAa7AwQHKwT/BikEIQakA8ME1QKTAyACHQPaAV8DAQK7AzgCagMIAiYC
>RgF1AEQAU/+Z/3T/rP/AAHIAbAJwAYsDGwKdAyYCswKbATIBtQCN/7v/Nf7u/pH9jf7x/cb+
>Qv+P/+kAiwDvAScBnAH2AAkABQAu/uv+Xf1u/mL+Cf/1AJEA5wNSAuMFgAM3BrIDRQUiAyIE
>dALsA1UCEwUEAxEHNATCCDUFAAlaBVkHXwRXBJQCNwG4AD7/jf/+/mb/CgAGAEsBxADCAQwB
>LgG0ABUADABG/5L/PP+L/83/4f9zAEQAwwB0ALgAbgCbAFwAqABkAN8AhAAOAaEAEQGiAOMA
>hwCYAFsAPAAkANf/6P92/67/Nv+J/zT/hv9b/53/fP+y/2f/pf8f/3r/3/5U/+f+Wv9J/5P/
>z//i/xwAEQD1//n/Xf+f/6D+Lv8p/uj+Q/73/uH+Vv+c/8T/5v/w/3j/rv+R/iX/4/2+/hH+
>2v4f/3r/UAAwAJ8AXwCB/7X/X/1v/lr7PP2O+sT8Y/tD/Vr9bf6C/7X/BQGbAJIB8ABMAcYA
>iwBTAKP/yf/R/kz/Lf7q/rP9of5B/V7+tvwL/hz8sP2++3j98PuV/cr8F/71/cn+0P5L/+D+
>Vf86/vL+ff2B/mn9dv5L/vz+v//Z/+8AjgAsAbMAZgA8ACf/f/8w/u3+Av7Q/qH+MP+2/9T/
>wAByAEUBwgD4AJMA2f/p/13+CP9G/WL+OP1Y/jX+7/57/7H/AQABAEX/kf/O/bH+0Pwb/j79
>Xf74/mL/2QCCAKUB+gDwAI4Ab/+q/1f+A/9l/gv/av+m/3sASACrAGUAqP/M/9r9uf4l/Lb9
>bftH/SD8sv0D/tL+SwAsAPsBLQGCAn4B+AEsAQgBnQBmAD0AWAA0AJcAWgCmAGMAPQAlAHz/
>sv/P/kv/rP42/0//lv+VAFgA8wEpAacClAEiAkUBhABOALP+Ov/a/bn+iv4i/y0AGwBtAdkA
>QgHAANb/5/9l/gz/Kf7o/kT/kf+uAGcAIAGrADoAIwDQ/kv/IP7i/tD+S/9uAEEA3AEaATEC
>TgFKAcQAwv/b/3f+F/8c/uH+4/5W/2kAPgDcARsBZAJsAa0B/wAyAB0A//5n//L+YP8RAAoA
>gQHlADQCTwG6AQcBggBOAHL/q/8m/3//nv/G/2cAPQANAaAAWgHNAEcBwgDYAIEAFAANAB7/
>ev9D/vf+1v22/vv9zf6U/if/U/+Z/+3/9P8gABMAzv/j/wf/bP8c/uD+kf2N/tf9uP76/mP/
>eABHAJMB8ADIAQ8BHQGpABQADQBO/5b/K/+C/6f/zP9wAEMAEgGkACoBsACGAFAAUv+Z/wr+
>1f5M/WT+f/2D/qL+MP9HACoA1QEXAdACrQH1AsIBSgJdARoBqADy//j/Y/+i/7X/0/+fAF4A
>ZQHUAGIB0wCAAEsAUP+Y/5n+Kv+7/j//cf+r/yQAFgBqAD4ARQAqAAAAAADc/+v/8//4/0sA
>LADoAIkArgEAAU0CXwFWAmMBlAHxAGEAOQBq/6f/Pv+N/9j/6P+yAGoAQwG/AGgB1wBiAdMA
>bwHaAIIB5QBoAdYAIQGrAPsAlgBRAcgAHAJCAd4CtQEFA80BcQJ0AZMB8AAXAaYAVwHLAB8C
>QwHnAroBPwPvARAD0QGKAoMB+QEsAZAB7gBnAdUAegHhAKoB/QC9AQkBiAHoAA8BoQCIAFEA
>NwAgADYAIABoAD0AjgBVAIcAUQBbADYAKwAZAAkABQD1//n/5v/x/9v/6v/j/+7/+v/8/xcA
>DQAoABgAOAAiAF4AOACqAGUADwGhAGwB2ACfAfcAnwH3AH0B4gBYAcwAUQHIAJAB7gAqAkkB
>CwPPAdcDSQIDBGMCKwPiAXYB3gCq/83/zP5J/3H/q/9FAcIAKAPgAeQDTwLzAsEB2QCBAML+
>Qv++/an+K/7p/qL/x/9ZAc0AoQKQASgD4QHzAsEBOAJRAU4BxgCZAFwAbQBBANcAgACJAeoA
>9gErAbABAQG+AHEAq//O/yv/gf+p/8z//QCWAHcCdwFOA/cBBgPMAcMBCwE8ACQAX/+h/9T/
>5v+cAfQADwRqAjcGswNRB1oEIwc+BAYGlAOZBLwChQMYAjMD6AHBAzsC1wThArUFZAN9BUMD
>zQNCAi0BtAD+/mb/lv4p/0cAKQD0AsEByATYAnwEqgJCAlcBlf/A/xX+3P5z/hT/GAAOAMAB
>CgFkAmwBwQELAUkALAC//kL/1P21/uH9vP7V/k//KwAaACUBrgBDAb8AoABeAOn/8v/e/+z/
>sABpANgBGAF8AnoBGgJBAecAiQCT/7//tf47/2f+DP9Y/gT/M/7t/vb9yv71/cn+h/4g/7H/
>0f8PAaEABQI0ASACQgFPAcgA/P/+/8X+RP8l/ub+Pv70/tX+Tv+P/77/KwAZAJEAVwC1AGwA
>ewBJAM//4v/b/lL/Jv7m/kr+/P6B/7X/SwHFAJcCiwF5AngB3wCEAMT+RP+S/Y7+If7j/g8A
>CgD+AS8BigKCAVMByQA+/43/wP2q/tD9s/5F/5D/LwG0ALkCnwHCAzwCrwTKAsgFcAO1Bv0D
>vwYEBIAFRQNbA/8BQQG/AA8ACQAHAAQA5QCIAEACVwHEAz0CCAX+AmUFNQNDBIkCrwEAAb/+
>QP8a/Ub+1P22/ogAUQBuAwoCigSzAg4D0QHc/+v/6Pwo/uP7j/03/Vj+6//z/1kCZQE1A+kB
>QQJXAVgANQDf/lX/3v5U/18AOQBiAmoBjAMcAhYD1QFQAcgAYP+i/2P+Cv+x/jn/wv/b/64A
>ZwDTAH0AJAAVAAP/av/r/cP+Sv1k/nP9e/56/hj/CwAHAFsBzgCCAeUALAAaAP79z/5Q/M/9
>L/y7/YD9g/75/mT/If97/4r9iv5I+zL9HfqA/Bv7Fv3B/av+ZgA9AH8B4wC9AHAAF/92/9b9
>tv6R/Y7+BP7S/pb+Kf8J/23/kf++/0sALADXAIAAkgBWAEv/lP+1/aL+8/ww/qr9nf5N/5b/
>gQBMADIAHgCX/in/B/08/u38LP6Y/ir/8QCOAEMCWAGIAekAG/94/3/86/1j+0H9kvz2/Yn/
>uf+8AqABZgSeAoQDFwJqAD8ArPwG/kr6m/yD+r38Cf09/jMAHgAHAjUBkgHvAHb/rf9Y/Wv+
>qvwE/qr9nP5l/6T/jgBTAGcAPQA4/4j/6v3C/mP9cf4B/tH+iP+5/0EBvwBOAl8BEgI6AYIA
>TABd/gb/0fwb/sn8F/5G/vr+VQAzAMwBEQEqAkoB4wEfAdIBFAFWAmQB7wK/AcICpAF0AdwA
>n//G/1r+Bv9Q/gD/Nv+I/xwAEAA8ACQAlP+//8n+Rv+N/iX/Hf95/xsAEADsAI0AHQGqAJ0A
>XQDB/9r/DP9v//D+X/+D/7b/ZgA9APwAlgDWAH8ADAAIAC3/gv/H/kf/9P5h/07/l/9k/6P/
>Jf9//wD/aP9o/6X/XQA3AF8B0QDZARkBoAH3AAgBnQCFAE8ALgAbAL7/2P/v/l7/8v3I/mf9
>dP7y/cb+o//I/8wBEQFbA/8BhAMYAjwCVQFFACoAwP5C/4P+Hf+j/8n/ZQHUALwCoQH6AsYB
>PQJVAU4BxwD9AJcAeAHgADkCUwGKAoIBLwJNAZsB9ABzAdwA4wEeAXMCdQGBAn4B4wEfARoB
>qADYAIAAUwHJACQCRwG3Ap0B1QKuAcICpAHPAqsB7AK9AdACrAFyAnQBVwJkASwD4wEDBfsC
>AgcrBPIHuQQ8B0wEfAVCAwsEZwLmA1IC6gTsAhAGmwNTBsMDgQVHA0gEjAKLAxsCrQMwAmoE
>oAIfBQwDUAUqA/EE8AJUBJQC6wNWAvQDWgJSBJICmgS8Al4EmAJ/AxQCXgJpAZ4B9wCzAQMB
>ggJ/AXsDEQIDBGMC7ANVAocDGAJHA/IBaQMHAsoDQQIiBHUCPwSGAhgEbgK8AzgCPwPuAbsC
>oAFlAm4BeQJ4AQIDyQGrAy4C2gNKAgcDzQEpAbEA0v5N//P8L/5f/Nf9Vv1r/mD/of97AeEA
>pQKTAVgCZQHSAHwA5/5Z/3z9gf79/Db+Ov1Z/rP9ov4P/tj+Xf4H/9r+Uf+H/7n//////8f/
>3f/Y/lD/zP2x/n79gv5I/vv+qP/M/4QATwAOAAgAaf4O/5/8/v3t+5X92fwg/uj+Wv/8AJYA
>EAI6AcoBEQGWAFgARP+Q/5T+J//e/lX//P/+/2wB2ACiApABVwP8AZ0DJgLKA0ECIARzApwE
>vgIBBfoCHgUKAxMFBQM2BRkDxgVvA5wG7QMvB0UEBQctBCkGqgM5BRsDDQUCAx8GpAMWCM8E
>8wnrBZ4KUAalCbwFgQd1BFYFLANGBIoCwQTUAlUGwwMACMEE3QhFBacIJAXHB6AE/AYmBM0G
>CwRAB1AE1wepBO4HtwQyB0cE6gWEA+oE7AIUBQQDqwb3A/8IWQW2Cl4GtwpfBg0JYgX9BigE
>JgaoA0cHVASiCbsFigvcBq4L8gYXCgAGBwjGBPQGIgRzB24E9AhTBU8KIQagClIGwgnNBSUI
>1wR+Bt0DZgU2Ay8FFQPPBXMD4AYWBNEHpQQ6COQEEwjMBLsHmASUB4IEvQeaBAEIwwQnCNoE
>HgjTBOgHtARoB2cEZwbOA/cE8wK+AzkCvgM6AooFTAOPCBcFLwumBskLAgfuCecFuwYBBBUE
>bQJZA/0BjQS1ApMG6QMRCMwERQjrBD0HTgSVBVEDHgRyAocDGQI0BIAC8wWKA/AHuAQLCWAF
>kAgXBcwGCwT8BPYCcASkApMFUQOOB34E6AhMBaYIJQX/BikEKAURA1oElgLpBOsCKAapAwEH
>KwTjBhgEHQaiA4UFSAO6BWgDpwb1A5wHhwTnB7MEXwdjBHcG1wPWBXgD6QWDA5YG6gNvB2sE
>7we3BMcHoATwBiIEtgVlA5YEugIcBHECjgS1ArEFYgPcBhUEVQdcBMoGCgSQBU4DWwSXAtgD
>SQJCBIgCVQUrA3kG2QMYBzgE2AYSBN8FfgPFBNcCPwSGAowEtQIgBQwD9wT0AosDGwJ7AeEA
>RgAqABIBowCLAxwC9wWMA5QG6QMNBQEDwgKkAYgB6QAXAj4BnQMmAqsExgKWBLoC2ANKAlMD
>+gFAA+4BBwPMAf8BLwFLACwA4v5V/8X+RP8gABQAJgJHAZMDIQKBAxUCzQESASP/fP+w/Aj+
>l/th/WP82f2b/iv//ACVADQCTwHWARcBjgBUAJz/xf/L/+H/7wCOADQCTwHYArEBtQKcARwC
>QQFpAdcAsgBqAOL/7/8A/2f/UP7+/jj+8f4F/2r/sABpALcCngFHBIwClwS7AmQDBAI9AbwA
>Of+J/0z+/P61/jv/+P/7/08ByAAjAkUBLQJLAWoB2AAlABcACP9t/+v+XP8uABwAJwJIAXAD
>CwIQA9IBfwHlAFoANQDOAHoASgJcAeoCvAFoAdYAsv45/1D9Z/4L/2//CgPPAVEGwQNdBskD
>SwP2AZr/w//l/cD+1v5O/xkBpwD/AsgB4QNOAg0EaALJA0EC3QKzASYBrwBi/6P/7f5d/3cA
>RgAmA98BDAUBA70E0AJzAnQBxf/d/1T+Av+j/jD/HAAQAMUBDQHjArcBHgPaAVsCZgHJAHgA
>FP9z/yf+5v6k/jH/TgAuACwCSwE8A+sBLQPjAXsCegHWARcBjQHsAHQB3QA6AbsA1wCAAIsA
>UwCUAFcA3gCEAA8BoQDDAHQA8v/3/wj/bP+z/jv/ZP+j/+sAjAB+AnsBPgPuAdsCswHTARUB
>AAGYAOkAiwBZAcwAogH4AEABvgBQAC8AZ/+k/yT/fv/Q/+T/PgG9AOQCuAHwA1cClAMhAoIB
>5gBo/g7/zvuA/SD7Gv2h/P/9DP9u/4MATwACAAEAEv7a/i/8u/1u+0n9tPtz/SP8tP0b/LD9
>z/uC/dj7h/1m/Nz9/Pw1/uP8Jv7o+5H9hvq//IT5JfxW+Qr89Plo/AD7B/38+539afzd/eH7
>jf1p+qz8nPib+4f39vr09zj71vlV/DP8vv3c/br+Nf7w/oH9hf5x/OH9gftT/bv63vzw+Wb8
>Gfnl+4L4jPuP+JP7ZvkT/NT67fxq/N39sv2h/mL+Cv96/hj/NP7v/vn9y/4b/uD+mv4q/wz/
>b//e/lP/vv2o/ur7kv0q+of8VvkK/M75Ufw3+yf9oPz+/SD9S/5g/Nn9wvri/Af52/vS9yL7
>VPfY+m/36PoJ+EP7Ifnq+5X6yPzc+4n9Ivy0/fj6Av3T+Lz77vac+mT2SfpB98z6bPh/+5L4
>lfs+98z6RPWe+QD03vg/9AP5svXf+VX32fpe+Hf7ufit+9P4vPsK+d37UvkH/Gb5Evwb+eb7
>lfiW+xv4Tvvi9yz79vc4+0n4avvK+Lf7V/kK/L35RvzN+VH8kvku/EX5APwo+e/7TvkE/Ib5
>J/yQ+Sz8TfkE/NP4vPtY+HP7HfhP+1/4d/tL+QP8zPro/GD82f0q/VD+ePzn/Wv6r/wZ+Ez7
>8Pad+rb3Evvb+Vn84PuM/W384P1R+zf9lvkw/K34pftV+Qn8Nvsn/T79Xf5z/hT/ev4Y/5/9
>lf6H/PD91vuG/f/7n/0l/U7+Ev9y/zoBuwDxAr8BtQM1AmEDAgIoAkgBeQBIAOf+Wf8V/tz+
>jv4j/1cANACzApoBVASSAiAEdAIHAjUBJv9+/wH9OP5o/N395Pwm/kL9YP66/A7+i/tZ/bX6
>2vzt+vz8+fuc/dn8If62/Av+kPtc/SX6hfxO+QX8WfkM/Pv5a/yt+tX8F/sV/SL7HP3W+u78
>RfqX/Jf5MPwZ+eb7J/nu+/X5Z/xn+0T9Iv1L/rD+OP+u/8//6P/y/3D/qv+w/jj/Wv4E/wD/
>aP+XAFoAQwJYAcoCqQF4AeAAvf5B/wD8oP2o+tP8FvsU/XL84/1h/XH+Gf1G/uP7jf3H+uX8
>q/rT/K/7cP1G/WH+pP4y/zz/jP/Z/lH/jf2L/qb7af23+UP8j/iT+8v4t/ti+qr8dPzl/bL9
>of5A/V3+X/tA/Vn5C/yo+KL77/lk/Hb85f2n/jP/GP93/5L9j/41+yb9rfk9/Aj6c/zs+5P9
>5P3A/nf+Fv9E/WD+Rfsx/QT6cfxh+qj87fuV/Uj9Yv40/Vb+f/tT/Rn55ftf99/6OvfJ+qX4
>oPvj+vb89fwx/gr+1v7B/ar+Nvy//Q36dvw2+F/7lff++nr4h/tv+rH8cPzi/X/9gv5G/WH+
>SfzK/Xj7T/2S+179i/zy/Zv9k/6+/aj+ifzx/ZH6xfwn+e37c/ka/Jb7YP15/hf/iQBRAN0A
>hADe/+z/3v5T/wr/bf98AEoANAJQAf0CxwFdAmcB2wCBAHX/rf/J/kf/tf47/5v+K/8A/s/+
>7vws/t/7i/1X+zv9j/tc/Vj80/1Q/Wb+Gf7d/oD+HP+C/h7/Nv7v/rD

On Wed, 21 Jan 2015 09:52:00 -0800 (PST),
radams2000@gmail.com wrote:

>This effect is the basis for bass extension algorithms where you create har=
>monics to get fake bass from small speakers. But my experience is that it d=
>oesn't work so well. What happens when the input signal is not a solo instr=
>ument with a periodic waveform? Then it just makes a mess of things. Commer=
>cial bass-boost algorithms combine harmonic generation with old-fashioned d=
>ynamic bass boost to handle the non-harmonic cases like a kick drum. But th=
>ey don't mention this in their advertising.=20
>
>Regarding the mechanism for how the ear perceives the missing fundamental, =
>I don't believe that there is any explicit autocorrelation mechanism. A mor=
>e likely explanation is the modulation of the envelope of the signal which =
>will occur at the fundamental frequency even if the fundamental is not pres=
>ent.=20

I've long suspected this was the explanation.  When you look
at a  "missing fundamental" waveform on a scope, the
periodicity at the (missing) fundamental is very obvious.
With 0-phase harmonics you see one cycle of a big sinusoid
(of roughly the highest component frequency) which repeats
at the missing fundamental frequency.  Between those peaks
are lower-level ripples.

All it would take is a nonlinearity in the ear to convert
the "missing" fundamental into a real tone.

However, when I mentioned this to some of the guys in the
hearing research lab where I used to work, they assured me
that others had investigated this and ruled it out.  I don't
recall the exact experiment, but I *think* it was something
like an attempt to cancel the "missing" fundamental with an
out-of-phase sine wave.  I do recall that I was never really
convinced.

As Tim mentions, the ear deconstructs the incoming sound to
component frequencies via the equivalent (for this
discussion anyway) of a bank of filters.  Each filter's
output is a pulse train of neural spikes at a rate
proportional to the amplitude of its "characteristic
frequency". The pulse rate is very low, typically a few
hundred Hz.

An important point, which many folks have a hard time
keeping in mind, is that in general there is no real
"frequency content" in neural firing rates...they encode
*amplitude* of their characteristic frequency. The system
encodes audio frequency by the position of the active fibers
across the whole set, not the signal on any single fiber.
(Just like bank of filters with rectified-and-filtered
outputs, each feeding a VCO whose pulse rate varies with
amplitude.)

However, even though the pulses can't follow the
characteristic frequency, they tend to synchronize to it
such that the neuron is more likely to fire on a peak of the
component when it does fire, after which it may remain in a
"refactory" state for multiple cycles until it fires again.
This is all statistical, not a hard lock, but it is very
clear in a time histogram of spike firings.

The parallel bundle of neurons, each carrying its own spike
train for its own characteristic frequency, then proceed out
to the cochlear nucleus and on up to higher brain centers.
Any sort of correlation (or envelope detection) would then
have to be performed by summation of spike trains from
multiple neurons onto an intermediate neuron, again all
statistical... if enough spikes arrive within a small-enough
time window such that their (weighted) sum exceeds the
firing threshold for that neuron, then it fires.

The cochlear nucleus contains lots of intermediate neurons
doing all sorts of combination tricks as a preliminary stage
of auditory processing, before handing things off to the
higher brain centers. There may be simple ways to recover a
missing fundamental that could be done right there.

I've failed to keep up with the field, however, so I don't
know the current thinking.


Bob Masta
 
              DAQARTA  v7.60
   Data AcQuisition And Real-Time Analysis
              www.daqarta.com
Scope, Spectrum, Spectrogram, Sound Level Meter
 Frequency Counter, Pitch Track, Pitch-to-MIDI 
   FREE Signal Generator, DaqMusiq generator    
          Science with your sound card!

On 1/22/2015 8:42 AM, AllenDowney wrote:
> This is an interesting, and annoying, noise!  I will pass this along as an
> option for the students to explore and let you know if we find anything
> useful.
>
> Thanks for all the comments on this thread -- there is a lot of good
> stuff!
>
> Allen
>

Professor Downey:

I will post something like a 1-minute, 4-minute and the full audio in 
some Internet file service (DropBox, etc.)

For those who are not aware: you can take a file with human voice plus 
noise and use several packages which *attempt* to repair (denoise) it. 
The obvious solution is to remove *stuff* from it. That process is not 
unlike that performed by a cancer surgeon: what exactly to remove and 
what to leave in??

The problem is that of false positives and false negatives:

(a) Sometimes you (and/or the software app) are not aggressive enough. 
Too much of the noise remains, but at least the human sounds like a human.

(b) Sometimes you go overboard. All the noise is removed and then some! 
The person's voice sounds unnatural. This sound is variously known as 
"wine glass" or "metallic bubbles".

See my thread: "The 3 Interactive Ways to Perform Noise 
Reduction/Removal" in this NG. A 4th. way was discovered.

Thanks again for helping me capture my "Moby Dick".

-Ramon "Captain Ahab" Herrera

http://en.wikipedia.org/wiki/Captain_Ahab_%28Moby-Dick%29