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Tuning activity masking

Extracting the activity mask from rav1e.

Even though the activity mask is decoupled from the encoding process, it is an uphill task to output a y4m of the activity masks for each frame currently. The easiest way to get a quick activity mask from the encoder is to write out activity values to a csv file as they are computed. An example patch that does this is present below as "extract-mask.diff"

The activity map

The current attempt to create a map of activity is by computing the cube root of standard deviation(simply, 6th root of variance) of each 8x8 block. Keep track of the activity map implementation in this pull request.

Previous attempts

Attempts of quantifying the activity of an 8x8 block included different trials. One method to do so was to perform a forward transform(DCT) on the image and apply the Constrast Sensitivity Function (CSF) with zeroed DC coefficient and accumulate to get a measure of activity. The distribution of activity was too polar this way. Taking a square root of the activity map distributed activity more evenly around the map. Edges were still being recognized as areas of high activity and were losing too much quality during activity masking. Ignoring the low frequencies at the top left corner of the DCT resulted in hard edges contributing less to activity.

Description IENA Sking
Original mask - Variance IENA original Sking original
Square root of activity IENA sqrt Sking sqrt
Square root of activity with low frequencies filtered IENA de-edged Sking de-edged

The AWCY run comparing the activity mask implementation in comparison with reference shows that the encoding time has increased significantly with no increase in quality after activity masking.

A simple variance based mask looks promising in terms of encoding time costs based on this AWCY run.

Analysis of the map

Looking at a few sample test masks, the activity values range between 0 and 2.5. A python script to filter the map is present below as "mask-filter.ipynb".

The sample masks selected for analysis are "IENA_-Avenches-_6.y4m", "Sking.y4m", "US_Open_Tennis_2010_1st_Round_046.y4m" from "subset1-y4m" video set which is publicly available at derf's media test collection.

With this mask, we are able to identify ranges of absolute values and what kind of activity they correspond to. Blocks with activity 0.0-1.0 are plain areas where increase in perceptual quality with number of bits spent is low. Blocks with activity 1.75-2.5 are mostly hard edges that cannot tolerate loss in quality well. The range of activity that is expected to produce an increase in perceptual quality by activity masking lies between 1.0 and 1.75.

A. Image B. Edges(1.75 - 2.50) C. Plain Areas(0.00 - 1.00) (A - B - C) Activity mask considered
IENA source A1. IENA 1.75 - 2.50 A2. IENA 0.00 - 1.00 A3. IENA 1.00 - 1.75
Sking source B1. Sking 1.75 - 2.50 B2. Sking 0.00 - 1.00 B3. Sking 1.00 - 1.75
US_Open source C1. US_Open 1.75 - 2.50 C2. US_Open 0.00 - 1.00 C3. US_Open 1.00 - 1.75

Blocks of activity in range 1.00 to 1.75 participate in activity masking proportional to their activities while blocks with activities lower and higher are clamped at these boundaries.

Activity masking in RDO

Distortion in RDO is substituted with percieved distortion on basis of activity of the block. Higher the activity, lower the percieved distortion as compared to actual distortion. For blocks with activities as mentioned before, activity masking is disabled. Keep track of the implementation details in this pull request.

Comparison of scale and effects on activity masking

IENA Blocks losing distortion Blocks gaining distortion
Scale: 0.75 IENA 0.75 losing IENA 0.75 gaining
Scale: 0.70 IENA 0.70 losing IENA 0.7 gaining
Sking Blocks losing distortion Blocks gaining distortion
Scale: 0.75 Sking 0.75 losing Sking 0.75 gaining
Scale: 0.70 Sking 0.70 losing Sking 0.7 gaining
US_Open Blocks losing distortion Blocks gaining distortion
Scale: 0.75 US_Open 0.75 losing US_Open 0.75 gaining
Scale: 0.70 US_Open 0.70 losing US_Open 0.7 gaining

All blocks with resulting activity less than 1.0 gain distortion and hence quality. Blocks with resulting activity more than 1.0 lose distortion and hence quality. From the images above, it is evident that blocks losing and gaining distortion are more balanced at scale 0.70 than 0.75.

Activity masking with activity clamped to range 1.00 - 1.75 and scaled by 0.7

Relevant AWCY run shows no increase in performance with quality metrics. All the images below are encoded at 128 base quantizer.

Reference Activity masked
Fruits Reference Fruits Activity Masked
IENA Reference IENA Activity Masked
Sking Reference Sking Activity Masked
Swallowtail Reference Swallowtail Activity Masked

Comparisons

This AWCY run shows no increase in quality on disabling CDEF and performing activity masking.

Disabling CDEF completely is not the right way to test activity masking. Since rav1e weights distortion when it is tuning for Psychovisual(which is by default), we need to tune it for Psnr instead. This AWCY run shows very little variation in quality as compared to the reference.

A comparison of pure activity bias in RDO against a reference without any other kind bias shows that there needs to be a comparison at the same rate.

Activity masking at all block sizes

This AWCY run shows that activity masking at all block sizes does not affect the quality metrics or the rate much. All images below are encoded at 128 base quantizer.

Reference Activity masked
Crepuscular Reference Crepuscular Activity masked
Fruits Reference Fruits Activity Masked
Sking Reference Sking Activity Masked
Swallowtail Reference Swallowtail Activity Masked

Rate matching using ab_compare from daala tools

Rate of the encodes from the above runs differ and may not be the best comparison. Justin Nickelsberg added rav1e support to ab_compare in daala tools on my request. With the help of ab_compare, rate matched encodes are compared to assess variation in perceptual quality.

Sub-block distortion biasing

Since the biasing scheme is computed for 8x8 blocks, during activity masking of larger blocks, distortion is biased for each 8x8 sub-block with the chosen scale and is summed up to obtain the total distortion of the block. This masks activity more accurately as compared to using the mean activity measure of a large block. It is important to note that usage of transform domain distortion should be disabled to measure the effects of activity masking more accurately.

Reference Activity masked
Crepuscular Reference Crepuscular Activity masked
Fruits Reference Fruits Activity Masked
Nymphe Reference Nymphe Activity Masked
IENA Reference IENA Activity Masked
Swallowtail Reference Swallowtail Activity Masked

Further plan

Adaptive quantization

Current implementation of adaptive quantization goes well with temporal block importance biasing and is based on the RDO loop. But activity masking could be trialled independent of RDO and block importance biases. This requires that activity based adaptive quantization be tuned separately and also figure out a way for it to co-exist with other factors influencing the quantizer offsets. An absolute biasing model based on the computed activity mask would yield higher perceptual quality.

Optimizing activity mask storage and access

Current implementation of the activity mask involves two-dimensional vectors which make the storage and access of activity slow. This has lead to a constant increase in the encoding time due to activity masking as seen in this AWCY run. Once the implementation of activity masking is finalized, this computation could be optimized with the usage of arrays. It could also be moved to a pre-process stage to be processed on parallel before the actual encoding of the frames start.

More control over activity masking

Providing a way to control the amount of activity masking based on the speed settings and tune preferences throught the CLI and the API would ensure good usage of activity masking.

diff --git a/Cargo.toml b/Cargo.toml
index 753f920..a95c876 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -35,7 +35,8 @@ quote = "^0.6.10" # hack for proc-macro-hack
num-traits = "0.2"
num-derive = "0.2"
paste = "0.1"
-serde = "1.0"
+serde = { version = "1.0", features = ["derive"] }
+csv = "1.1.1"
serde_derive = "1.0"
serde_json = { version = "1.0", optional = true }
dav1d-sys = { version = "0.2", optional = true }
diff --git a/src/activity.rs b/src/activity.rs
index a10b900..22b73f4 100644
--- a/src/activity.rs
+++ b/src/activity.rs
@@ -7,13 +7,15 @@
// Media Patent License 1.0 was not distributed with this source code in the
// PATENTS file, you can obtain it at www.aomedia.org/license/patent.
+use serde::Serialize;
+use csv::Writer;
use crate::transform::*;
use crate::tiling::*;
use crate::frame::*;
use crate::util::*;
use crate::rate::QSCALE;
-#[derive(Debug, Default)]
+#[derive(Debug, Default, Serialize)]
pub struct ActivityMask {
mask: Vec<Vec<f32>>,
// Width and height of the original frame that is masked
@@ -35,6 +37,10 @@ impl ActivityMask {
}
pub fn new_from_plane<T: Pixel>(luma_plane: &Plane<T>, bit_depth: usize) -> ActivityMask {
+
+
+ let mut wtr = Writer::from_path("mask.csv").unwrap();
+
// Contrast Sensitivity Function with DC coeff = 0 to subtract mean
let csf: [[f32; 8]; 8] = [
[0.0/*1.608_443*/, 2.339_554, 2.573_509, 1.608_443, 1.072_295, 0.643_377, 0.504_610, 0.421_887],
@@ -86,9 +92,13 @@ impl ActivityMask {
// Applying CSF to the deviation on tx_domain and accumulating
let act: f32 = tx_deviation.iter().zip(csf.iter().flatten()).map(|(d, &csf)| (*d as f32 * csf / (1 << QSCALE) as f32).powf(2.0).floor() / 64.0f32).sum();
+ wtr.write_field(act.to_string()).unwrap();
+
row.push(act);
}
+ wtr.write_record(None::<&[u8]>).unwrap();
+
mask.push(row)
}
ActivityMask {
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"import csv\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.113781901574223\n"
]
},
{
"data": {
"image/png": 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/p3ZDUsG8rlqtlhxRaJPfyzjDYBctWhQCO9Ef+k0ZjCU6cQ5C48Npz8sJGFPG36WriYmJ8J3Xx9jxO3MVSx2MI2Pmh66UyUEqOnEkhjgZCOvL0/KxpmDzIM7xShmUzxixdkigwXi82Q5CXwsGfjgGJ4mJJyQkJMxhzAoTw7e+9a35zTffXGKEsI7+/n5dcsklf7D2HSluvvlmSSo5kMB8YJcwR0K0Yukwb9688JszUlgeOmrYVmylQb18wjy5F+sFWCy63AULFoTyPE0bbA7GjyURfYrDAtAWAGvmXrfOgHUODw+H+tHT03ZPQuGWLrHelfXkmek9zG6cEo1y47MFqdA9+xkEbaa9sUs/bWZsuIdxhoFjRRObXHoauEYu88z//PnzS8yfttBGxpuyXGf/6quvlhJ4MDeMq6frYzz2798fUggCnmPWMGvDw+w+8cQTuuyyy5RQYGRkRBdffHFKlJyQkJDwZses0IlXKhV1dHQEVuGB9rGJnmuAccK4YC3oJE844QRJBVOBocCM+/v7A/OBZXlKLb73xLotLS2BtcV253F9MD/YHmxy9+7dgYHBhPkNawVP2IsONbaEoF5YG4wwZm/x97Df8fHxwPg9OD7XuE10nOSZellHfMLAWVcexKq7uzuMhUsxsEpPDM3/fA4NDU3rRBMDCQhwHeMiFUzY07LRPvTfPBuvvPJKScfN/MahGOIymUuckfI8D/PNevIzGeBhbpubm8M5CeuL9c+6Q8JkzWCLjgQ6m+GhMo4Gjc7KYjD+M0Fi4gkJCQlzGLOKibOTu210T0+Pbr/9dknSVVdd9Ydp5GHiq1/9amArsFhP6XXFFVdIkr773e9KKlhvbF+NizYsyy0QsBKA1cRJGmBYMC4PvAQjgnWz+8+fPz+0FWCtwdy45x76TupatmxZYNgwYMp0HTjMkPa8/PLL4Tva5N6WMFJvT3Nzc2gTUgv1wPyRdBhDxmXTpk0lL1buQSfuoQIY91NPPVXSlNWOh6uNx0Qq66KRmBYuXBj6wdpnzNw6h/8Z987OziANMN7Uh2SAtMJ1rAPqWrJkSZCokDRYu25T7+c8sW2/J6BmzDyEAc+7W8DMJnz/+9+XpJA4/PHHH5dU9Gl4eDicC7FWWQseqoLfmcOvfvWr+sIXvjBtvW+IdUqWZcdmWXZ/lmXPZln2dJZlXz7w/cIsy36WZdkLBz57jrSOhISEhISD42iY+ISk/zPP8/VZlnVLWpdl2c8k/Y2k+/I8/5csy/5e0t9L+rtDNqS5Oez67O5xOil0b3MFWZYFlgh7QY/LTo31CqyHoErvfOc7JU0xFFik62phAjA3j22yaNGiwATQwcJMYVXY73od3d3dpeBRlEs4VVgV359++ul1dWzfvj0wDsbBY8ZwNoDEwr3HH398YP60gzXh/YUpw3ZaWlrCWkFqcU9F6uMT1n/MMccEFutsFcCQPIkJ+t5arVYKNMVcob9Hqlq7dq2kYk6Hh4cDW8YaBEsWdN+wVtYSc9ja2hrGGSmCeXWmSx8Yy5ipb926ta4/bsPtduIe5jbuL2X5GQyMlHUZx9v5QwPdN3NE/zzAXDzWa9asqfut0Zke65u1BbufDm8IE8/zfHue5+sP/D0g6VlJKyV9SNI3D1z2TUkfPtI6EhISEhIOjtdEJ55l2QmSzpO0VtKyPM+3S1Mv+izLlh7kVklTu11fX19gBuxcMInNmzcHq4d7771XUsFqPB6I75hLly7Vxz72sbr62G0p/8tf/vLhdXgafPvb35ZUbx3itsYe9wLrFNiU2waPjIyU4mHwP/pW9Ogw1Ti6HWyNT3SztMt1onH4UdgrTBfbYsaV8aZe9zRcsGBBYGewaawVuJc+MQ/UMTw8XIoi6PbLtA+JAOZ67LHHhv553BHaGFvhxOOyffv2wOLXr18vSTr//PMVg3pjD8W47QMDA6E81317VEN01vR/cnIyMGCADTlgzJByaO+OHTtKaelg9YR4htVjBcbYkdZtaGgotJXnjTXBvbBrWDRj3N3dHdoex5GRVEo04V6uy5cvD3plym+UgPmOO+6QJH3kIx+RNJVQBQ9ogET729/+VlIxzzDf97///dOWLRXjyfrzkMz0l/XW2tpaml/G162f3D6fOiTpG9/4hiTpM5/5TMO2NcJRO/tkWdYl6ReS/nue53dkWdaf5/mC6Pe+PM9LevEsy66RdI0kLV++fM3dd99dmmwmeffu3eFvwLW8VDxU5tvf/nZJxWKUps+HGOO6666TJH3xi188ZL8dX/va1ySVgwtJZVMqXrz+cvfwo1mWhZcFi8iv5aHmexbG+Ph4+Dt+OUr1L9oYPHx9fX3hxc9L1DcYXkCMvzt/VCqV8KC7wwptpW9+kL1p06aSkw0PCm2n/9QXx7tGFOZF5yoR7uGBjN3OGTMeUu7lJfbMM8/UtZ2XLP1fs2ZN6KeH3nW1Bn2JHbgaHULyPS87iA7XDQ8Pl0Rw1gbrj7K4jr7R9rGxsdB26vOgZXFYBUnBwWd8fDzUw8uLA2Q2NcaDdvGyGxgYKOVB5R7mkN8JixCHSvYNn3VHGR7wLXZqk6TVq1eHcLnc64exrHfKYsMaHR0N5bAm3JkJ8sJzEBsf8LfnYZWmAok9+eSTr6+zT5ZlVUk/kPSdPM/vOPD1zizLVhz4fYWkaXOB5Xl+Q57nF+R5fgELMSEhISHh8HDE6pRsisZ8Q9KzeZ7/v9FPP5T0KUn/cuDzrkOVlee58jwPO5qbkcWHhOzMMUuXil2fnZSd8/nnn9dpp51WVy67OszbkzEcCT7/+c9LKsSitra2cKBDphU/wDznnHPq+uABkfbs2VNyGXfVADs3jBC2tX///hBoCMYFQ6B8mMJ0B5t856APlAWbQrqA1ba0tJRC0MLEKJs589yePT09oW385jlGvd6YwVCf5wflHqQz6ofVbdy4MawV6oNdEdbVHZdQVXDg+8tf/lKXXnqppGI8kVY4NGVd0EdY7XTrL876IxWMzQ9nd+3aVcrgg5rEEzgwD4xLzIw96QSSJWPKGLKmMIGlr/EYsc6ZB88KxDM9ODgY2kT/kKYYE1i2JwnZtWtXyXSX8aZeV70hEd93332hzXE4YqmcBIT+uTTf2dlZMgd1Zk6bfT1OTEyE9Yt6mH4ODQ2VwlY0wtHoxC+R9ElJT2ZZ9viB7/6bpl7e/yvLss9I2iTpYw3uT0hISEg4ShzxSzzP819JaqSvec/hlFWpVNTe3l5ibOyGlUolMB+ugUW5SzEsi924q6urdDgHY3EzsdcCHEzccMMN4ZCEetiRCZbP/0gPsC7Q1NQU2AushV3c05O5nnt8fFxvfetbJZXN8BhX4OEOBgYGQnnoPGF8jB06QXfHho0cc8wxJWcbz3XpjkzxwRzz7OaJ9MHDATB2ixYtCvXST9aKu4HTnti0kX7DjNy0lbMWVICPPfZYXftOPPHEoE+nrYwr/YS5UT/t2rt3bygH/XKcuzPut0tk1Wo1HJTTH/6nLA4UYaIeznbFihWlZ4N63PnLD+npi1RIAnwyDujzKTsOVcw1tJ12sJ75fO655yQV66K/v790BuI6aMr2cx3G4aGHHgp6cuabtcgaBW5I0dbWVkqpx3pjjNxhyp9dqZDOYN8rVqwojXkjJLf7hISEhDmMWeF2X6vVNDw8HHZ19Ltx2iqYiAcPYnfjHteddXR0hO9gHh4adKY73kxAoodly5aFHffBBx+UVASLf/rpp+vqB7CAOCkEOzRMASbmoWjRXcK2enp6Qjm0AxYBM6P+WOLhepgGiTqQcNDr8T0syJMPxwF8vHyYEqwXK4KYobie3E/8kQBgZLDOuBw+qZd5pwxnyuPj43VjLxVskX4C7uF62Pf4+Hi4lvVGH2B1jB39BqOjo6E+2o5EwFzBEN2h59VXXw39gQFzJsKzQdke1CoOn4senbIYd5eMkAgZp+bm5rAGSLPoEh/tcnPY5cuXh7HxMyBMDmMLmvjetra2kuTuZrisRX83xIz98ssvl1ScW9AvDyLGJyx+fHw8SIFu/sozw/PGuytONch5DP2h7UuWLGkYQM2RmHhCQkLCHMasYOLSFKNA7wWbhHXu27cvWJuwq7Lrc0oOE2WXZQdvbm4O98CAOQFnp8TGGwuTo0GsO964caOkgiFs2LBBUlkX6cH7GYd58+YFpu2WO7Ao+uahU8fHxwN7x3KCcXU7YWfoXV1doR4Y7hNPPCGpGDO+d6aGXvKZZ54JbBLdIP2jHa4jpM7W1taSo4gnTPbUb7G1CGsF9ko/YZe0lTJi2/rYQiauD8Cc3HKAsiqVSimIFfew7rzM2Aaba91iinthrJ6o2tOlSYUtOfPKuNA+2B+senJyMuhv3RoKSSMO/CTVW1J5chPWJuvdw2kwZ11dXYGl0laeI9gy9bol1bx580pto34kHe7hmUHCZ86WLFkSruVZjM924msZMz6bm5tL5fMMuKRL33imu7q6Suc3fLa0tMw4HG1i4gkJCQlzGLMiPdsZZ5yRo0uWyrrMPM/DzuwB/WFRuNSib4QpxF5R7K7stm7J8lomn7jvvvuCVADcnpQ+OXMkQNbWrVtLlg6MDfpFGCGSB2ygqamppMfz5BOeKBgGMTExERgZenrYFPXDCJ0xxx6VHnoT+Gk9/8cu/W515K7yjBksG71kd3d3qM8Zr/cl9vqTpsaU8t270dOzoWeGXWEv3tLSEli8Jzl2m2M/z9m9e3cpeBbzS7sAc8f18+fPD3NCm2G39JMxRO/rEsrw8HDJgsfr86Ba9KWzszO0lXFnHlgblM1YxWyfdUSbfvOb39SNkXuIMh7d3d2lc4JGyZxpjz/vk5OTpWQrgLLoA/UiidZqtRKb9tDOSJGeXHvXrl2l1HxI3Mcff7ze9773acOGDSk9W0JCQsKbGbNGJx7HCYFJcMrf1NRUCu4DnMWyo8PMVq5cGXZG16+xIx5//PGveX+eeeaZEOfBWTMsh10ftoFkAFNZvHhxsDmFLdEvJA7Giv7HqbncOsU99JzdxDbJ/Ia1AqwOawmPWeIem5VKpaSThgkxDjAXD3fb3d0dmB4sxoOJ8UmQftbB73//+zDetAVpBr0+Y0oZsJ9qtRrmxuO9EC4VVo3lB56csN1arRakIpjmWWedJalgZuhEkQziZMuU48GT6JNLcdw7Ojoaxop1zrpyqw0YaBznhrYzv6wvf948Zg1z29/fX0rezJpA8qFdgLWzffv28DfjzBwhXbgXZCy9uaTDWuFermX8GVva1dbWVkr07fGb8D71uEdZloW54flizmJNglSsZbf1l4p5hJlXKpWkE09ISEj4Y8CsYOK1Wk0DAwOlBLcwms7OzrB7ub4NloXlCXFK2B0nJibC7gqcobDjwS7wLDvvvPOOuE9f/OIXdc8990gq2KvrG9Gz0TdYNt8vX748fAe7gDFgecKY4Z3J2O3bty/02+1m3bMMG/z47MCtXtD9wqIZZ6QGD6E6MTER7qUe6oUxwUw83G6sj4WhcQ1zxrwjIXi7pMJe2cOIwuaQQGJrEj8/8RR7v/rVr+r64rFN4rbHURnj+jzhAMxt3759oR7mFYbGmiBELvVSx3HHHVeK1hiHOo3L9GTL1NHa2lpKqeaWF4y7e+p2dnaG55X+sWaQMCnLmapUjLPfG59txW2PJSXKdSmNOWLdu3SFRcqCBQuCREW/eN58DXnCB8JoS8XaZB54NugTUkYsTXiMFvpdrVbr4gEdDLPiJZ7nuWq1WphIP3ibP39+eBG4aIgIw4vQ1Qzt7e2l4DaeL5CXLC+COHzt0YAXDOIlC8NN7GgrKgEWzMTERMksigXgIhwLhrFra2srxdpmcVGmP6hc197eHl6w/mC4egfTN8Y9zpvp2X885CzjQl8Yn7GxsbCA/YHkoXaHLXcOkQpTM8aZtlEvY0q/4zbywmfMHn300bp7Ebf9sHxgYKAUUpl7OHjjEJ52QUhaWlpCG/0AkfEmvrlnJRofHw9j45sj9fKCcLdv+lCr1YKKgU3ZVTMgJguU4aaD/hy5SjA2p/PwCswNmxovXJ7zOKwy/fNMRTzfXMszApjjycnJkhMhJImxwkyXseWFfNxxx4V+MFaYFtMu2uPPw+7du8M1nu1odHQ0OfvpIzFxAAAgAElEQVQkJCQk/DFgVjBxAmDBhGGb8QEADIGd35mZi2iIUD09PYHpcC07JgyJ78kTCXbv3q0777xTknT11VdP23YO1txhZWJiIvxNlhLYhDuq0CeYAkx5ZGQk9Bv2Qs7D3//+95IKNgPriJ2D4kzo9Ecq2K27fTPeQ0NDdYeMcRkwNFfVENSLsuPMQrAWWIebJ9LH2NGC/sQ5JKWyasaDdy1ZsqQUAhQpwU0sPaxoS0tLScVA/9atWyep3s1cKg7FYxM5+ospH2PmJqeMQ9wnD1/g64r2MGZ8ej8klQ7GaLs7gcXBqxgbxh3pKJYOY3D9xMREGBPKQ9JDMnE3fCTg7u7uUqYkN1dkjDwEc7VaDWvD1VOUwbXMv7vHb9u2rSTRAT+w593Bgf/OnTsDO+fAGMkSE8ennnpKUvH80Y4LLrggjDMMHMmPsZkJEhNPSEhImMOYFUx8YmJCO3fuLLm8sqPG7Apm4AdpMMZ4h6YM36lhb+y6MBR2VNjGqlWr9MlPflJScXAYOwhIBSOFdYFTTjkl7MRPPvlk3T0wJNguZXhQ+7GxsVIwJ9gb/3NIA7uKgzzBCDzFG2MIy2CsaF+lUgnODDBrWAtlxvrEuH6Y4nHHHVfS28JegB90wdw6OjpKUhNz43pF2N10OmnYjLvK8ztrBhbU3NxcMmlkTpwJM3bofRmn3t7eUvILWDpr5Oc//7mk8sFqfCjqel3a4xJSnGAAKYJrYvO/uI2uk49DNsQhdaVCKuQTadFT/VUqlSBRuo7aQ0YwprSvVquVwsV6OFekaT5pR3d3dyiXOeH55llgjJgH1hlrZ3x8PKwJN7+lLD8TiMMTvPvd75ZUHDrHOXKl4myGtUwfsiwrpb2Lk0LEKR4PhsTEExISEuYwZgUTr1Qq6uzsLCUKhpmsX78+7Nrsbuhg3fQMFoszximnnBLKgyGw67IzwxTcLblSqYRysApgp4SJohNFvwiGh4eDg4BbHGBBQds9fRVMLs50Th/i4DlSoe+FQcSJL9wVnjZ7cgiYA+wqdryijbF7dzx23EP7GJ/h4eHQFpgX1jfo9z3sKGUODAyU3J9hJdRDO6ifPrS2tpaYIOMJ42adMT6My8TERPjOTeliy50YzB0JlHt7ewPTo1wYsLM7TxQ9PDwcWJqb2fIsuOMY9ff09IQ2uus+65kyqJe5ioOqxRZCcduxuKCMOMs97aXtlO/WP552kbra29vDdzBs5t8dh/ysoFKphDZSL+vOraGQuGlXnK6Q9UU/ea79bIZ7kMB6enpCAD3eEZgWu3Mb0gXro6+vLzyLjGMcTuFQid1BYuIJCQkJcxizIgDW6aefnt944411YS2lendg/vZAUDBgdj0Pq9ra2lpKcQYDgImgM+MT/Xd/f3/YPT0dnCeYALENtAcvchaPdAFj9FP85ubmEtP0YP2xbjDG5ORkyd09Dk4l1YdP5R5+92S2fNI2GAPt8rRVXV1doZ8eFB/deOyiH3/u378/9Ce2Q5YKRkY9Hr546dKlgT25DTdMzZM8M05NTU3BYoe5Y4w8kQZJrqmL9fDMM8+UbPpZf7ENvSRdfPHFijFdOFmXCDwUazxn7gjjoY5ZS+5sFgcog4G61Ze3HQmBOa3VaqFczkdwcsERz/XOsaMS9bCePbwsayUO0kYfmQPKdUnb7eRpM3M9ODhYSvLBmHnwOOadRC9PP/10aDvt4BNm7oGxYniQNNb98PCwrrzySj3xxBMpAFZCQkLCmxmzQicuTbHTOJynVJ8E2C0rYDlYqbBzspMSXKhWqwUmHNulxvV4EHdY3ejoaKjvcL04N2zYENiEM01nQG7xEAP9Jm2Kw4ZKBfvg+9iKI04eHAPdtHu9xhY+XAObcS9H4EkMYB2xnSvMxG1x3fuSdu7Zs6fOVl4qp0PzpAXx/FOfp/nzdYW3acz26Df1kcjDLQU87Ck68f7+/sBIXUpz/Sf25ARKGxkZCczaJQFAu1iXSADj4+OlNHSeSCO2iojHLC4zXvtSsf5g4J7wIg7W5tZGSFxYOnkaPth8a2trWAvOvFmjPEu0mWdoZGSk5PXI2DFn7lvgksrk5GSon/eG263DwHmmkAAvvfRSNYKHTMC3w0NoSIV7P8/RRRddlHTiCQkJCX8MmDVMvFKp1CUuleptvj1hKYzFvfHQK8ICBgYGws4MA3CrDdfnstv29PSE8mFaHoeDsjzsZF9fX7iGfrHz0gff/Z3lTExMhH5wDezFA/87mx4cHAy/eRvdOoOxi+13kQpok1ujeNAhP2cYHh4Ov3n8F09Y7My1Wq2W9LewKdYGkgFsCwmgs7OzxKJi6xOpbGkS6+5ps3v30VbG1EPBnnnmmaHf6F49dgeSBuyZ5B+Mz+TkZBhHh+tbkXTiOWV83cuS9Ue9LuXAtsfHx0N/PUEz93pyacZyz549YdzjwHVSOQ6LJ5yIQx/jh4EE1CjwVRyyN/YSlsrpDvGt8CTP9GXx4sVBKvLzowsvvLCurc7U+/v7S+n+KOO3v/1t3dgh5dGe+BzD9eq9vb0l79hGSEw8ISEhYQ5jVjDxpqYmdXZ2lkJlgmq1Wgon6Z5srlOjrNHR0VKsBHY92CaMwcN7xr+5/tg96GCG6FlHRkYC4/HkBB7G0+NSxPa8MB70iR660mM9wIQXL14cGIFHrUO6cDtxrm9tbQ0SAMyeT0/Txqk6400ZS5cuDW3jXteVum0/rKulpaUkHXk0P+DrobW1teT5ypzBBJ2ZgqampjD22FYzVx73A7jFxcknn1yyyvH2YLVB/Uh3XBfD9bvukRwndmCcuZZnBlbLnHncmzi2Dm30sxZ05Z5yj+tqtVqQUpg7txqhzW4l0t3dHcaAZ4Rnk3Gnfuab53xycrJ0DubevYD+nnbaaZKK+di6dWt4nmgrbYOhO2jv6OhoaZ15Eneu5TrGcHx8PLwveEchtcThoA+FxMQTEhIS5jBmBRPPskzVarWkF4p12LAUtxLgf3ZfPK7i61w3yI7sUdbcFra7uzvs0G5pQvkwUWe18clzHFlQKuvg45ghMZqbm0terM7A4xRTMfr7+0sB/hlD+unjEjM1ynO7XPpLW90rMU7aQPwN2ujxbdy2n7KamprCdzAyt3l3PXucco9xhgF5ajcYmnsw5nleio6JLt4D9HuijZgZx1JgPHaeJpD/ue6FF14IenIkAc5iYGyMh+v5d+/eXWLinnjb15unqTvmmGPqpLG4n/SfNQQzjuO3c45Av5h/jwjJOsOyZfPmzWGu8PvwZBDcw3NOH1taWsJvHmu8UcJsJAHKXrZsWVgzXEuZjB2gnViaLF++vBSLhX5hHcX6d6lqyZIlJY9nrj377LNnbJ0ya5x9brrpppJbfIzpQm5K5ZcqHfe8djE4PGHwPW9fnIiASXPnl/gQTiofVk5OTjZ0IGCy/SXjQXba29uDisdVM35IyDhQR57n4UH3BwGw6MlqEjub8MC5GSB94mGj7aho2Ox6enrCnHCgw+L2TdRd+Xt7e0ttjQ/fpHIgMOauo6Oj9JLyjOlgOjVabPYmFWuFseR3HMKYF5w/LrnkktBGymUTp0zMVXlxxCo52ojJGX1grniZxxueNDVPqNz8wN7DFTNHbkY6ODhYUhMyZ3zPGnFT1+3bt5dUjR7EC1UBGzJhlUdGRkqhCjwEBd+7CpSEMnF/PfkHffFD6Thpipswu1nu0YD2PfLII5LqjQ9oC/PMs8A453menH0SEhIS3sw4anVKlmVNkh6TtDXP8w9kWXaipFslLZS0XtIn8zyfUbI4F2VjV3vYAswHhu0B8Nl9450awDxgDMCZOWxr5cqVpYNTdlGkBhixH07F6pzpTKqksjuuhxIdGRkpBRxyVu0mdrFqxtNkubkWB4ywXMrYu3dvKTwunzAGPxyDOcYHoZip4YZNHyjDA9/HB8CMO/cQiMxNshhLxiwuh3poo6cjcyktdrbxvKvAXbsBYzcwMBAYMevMQ5O6s1Nstkn5iPEwMubZg5kx31J9aq+4Pv7nQNXNN8kbumfPnpIzjYerdRE/VhXwfHn9lMEzA9vk0LCnp6f0/LA23NiBsu+9915JUwkXWMcf/OAHJUk//OEPJRUhd3l3sIY8XZpUPAOu0vQxdFXcdIfRniuYtiMBxcHD/IAaDA8P65JLLimVPR1eCyb+ZUnPRv//D0n/M8/zUyX1SfrMa1BHQkJCQsI0OComnmXZKklXSPrvkv5rNrXFvFvSXx645JuS/lHS1w5RTmAA/C/VB9XnOw9u5IFzPOznsmXLwgEHzIudGV14HERIqg8uT70wLQ+w5Q49sY6L+tzN19OEsft7WrHYGcDNtdx80E3/8jwP/Xj++efr+o3kQZs93GZbW1voL/d4AgsOOL1emPjAwEBwgCGFHWMZO7dIBQuKA/BTr58J8D3zMJ2bNtd4ogoP5uTBzZqbm0M97kxEfUgc6MR/8IMf1JWxfv36UuJnGJgn9mAOMY1ramoK48p4x6Z0UrGWWCv8fvrpp4e/43OZ+JpbbrlFknTbbbdJKnTysVTr88la5RpYO0yYcTnjjDPCvbQNKcLTAvKsxqFaGSs/z2gkAcdhDyiH/iEJvfe975VUdu5iXTA+cWgDpAPqbeR8FSc5n46Nx2AtMc9xkCs3TIjDLrxRSSH+P0n/tyRqWySpP89zXI22SJo26EiWZddkWfZYlmWPuYddQkJCQsLMcMRMPMuyD0h6Nc/zdVmWvZOvp7l0WvOXPM9vkHSDJJ155pl5a2trKQUUaY127twZWCs7FowEnSj/+4n/2NhYyXIDVuEn3eyY1BVbeHjgeXRlhO6EMcLCYjM9ymeXjS1IuDZGrOcEsEkPluVMOU6w4AGOYJFc44GwYrdoN7+DFXCvB8KCQfIZh9109/M4qbBUWMfEbuiw5VhCi/vpjHU6U0B+c2nFSUOs/6Vc2vbEE0/U9fuiiy6qu/eCCy4IbZamxtqDV2FRwji7mdxZZ50VfqffHujLHbZ4Nlizvb29YXx//etf15XfyOkKUGdbW1vJTJHnizHie9g1qQdjpzrmE8nOzVPpL+MQp1r0sL0essBDC3R0dIS5h2GjC/f3iSfcoL3TrVUPQcx5AzgU+47v9XMsvh8ZGQnBwViTrNnJyUnN1HLwaNQpl0i6MsuyyyW1SZqnKWa+IMuy5gNsfJWkmadtTkhISEg4LBzxSzzP83+Q9A+SdICJ/195nn8iy7LbJF2lKQuVT0m661Bl4ewD+2N3ikM3unUKu73rpN0mu7e3N+hL0fNSBru5657YZTs6OsJuSP38BrtC3waDiQNDub7WmZEnuKD/cZB+ron15FKxc3uqtdjGfe3atXX10mYYkae6ikMBu201bfZzBFgMjg2xvhFrAHTw2MkC2hGzSepiHKnPU7m5vhdrhra2tlKbYWpIIh7CAVZ57rnnBhf18847r66tnpibe1mH4MwzzwwME0bMemOcWd+wy9gZxn0IkJZYZ/xOHcz3448/HsYIadSd2TyhsFvnxElQ3OqKMXN/Adbsc889F8pBomIt8Gy48xPtGx0dDf2ifLcyo+2MHWv66aefDuWxBg8VAI02o1fftWtXKJ81CdxR6HBA/xkrt5JqbW0NrNwtZubPnz8jti+9Pnbif6epQ87faUpH/o3XoY6EhISEBL1Gbvd5nj8g6YEDf78o6cKDXe9oamrS/PnzS9Yc7KDVajXs4pw8s1NjA+0pmGDZfB+X5yyPa9Bnx+1gN2Sn9jRo7nJL2V1dXWFXRa/nbNkT5dIOmHhXV1coL05IKxXsEpt2xiz2dMQjDpYEQ4PVobOE/WBNMjY2FpgY9XjiDPoNc/FQvDt37gxtcekJFkXbXUe7cePGIDXE8yeVGbiPZXd3d8nenjXRyMKJtv/ud78rtYXyYVVuacHYxtY7WGVg5+sWU4wDumGY8tDQUPjb55t7mTP3MGxrayulJaMvjI0H8WI84nR9tNXDNntKN9YFaxcpJ4aHbWWt+Nrp6elpmKDaw0aDOCQ0Y4Gb//r16+vq4Z3hAaViz1bKc4nLk06DOCCZW7DwrPDcs85Z0/E5k3uY08a9e/eWPLgbIXlsJiQkJMxhzIoAWJOTk9q/f38p1gI7V19fX7As4Dd0Y+4NBXOLrTQ8FGRcr1SwbO5ld2xrawu7NSzGGUlsjRKXWa1WS6njPBAQukkPchWzT76DTdBf0kI99NBDdf3lc/fu3eFEPQ6SJBXsjnphEjDW+BoknljXHred8XALkFqtVvKQ5YwDlulSTKzLhNkx37Bb+sR4Ux/eiOPj44H5MK/0D+aHjTdlx/FxGF/mCKsj+v2Wt7xFkvTd735XUpltNjU1hTWDJyFtw16esXPLmwcffDBITw76GVs2SMX6i9ebexP7GYyntIvPGzyFnAcvYx16DJ9TTjklJERGOmbsWDvUxz1x4nLXsbuHJGXRb75//PHHSwmIsRiC1XoyFPfmjiVuD4PdCAfTlXsqO9rhZxALFy4shfhlnFMo2oSEhIQ/EsyaKIY333xziQmzY3d3dwc26UzJw4vyP6xrfHy8Ts8kFTpDGBr1OeuYnJws6VE91KzrMMGePXtKTBdrBE+YzO/0MQ636rbsgBClsB76zWelUimNiSfu9ZC09BFrofheT0vnCQZgSqBWq4X+4gXnCWKpI2Zk0pSe2W28qZ8QrbT57LPPrvv95ZdfDhIA68k9RPmedsDcY09R6mcNsp5iqwipkABhcu3t7Vq9erWkYk387Gc/k1RYmsCemduZJOEmSiSfzvKam5tLKfP4jT6wdukjElB8nuFp0NwqxWP58By2tbWFemHCgPln7DibQapYtGhR6XyCtYB04WcDjOWLL74YxtGTvXjMIiRCPlm7K1euDGuQZ89D0B4OYqsbqQiP7d6v+/btCwkqkOgY1+3bt+vyyy/XE088cUg6PivUKdLUA+TmZDzAQ0NDoXMev9ljJPOg8lI59thjw8vZTXYY5NhxIMb4+HhJNHIxD7MmEAedok2Ie+4W7Q8IZpKxysDz9bm55GOPPSapnEm8paWlFPDKMwixcP3At1arlURgz/eHGocXBC/sOK46KhHaxkuN9rjDEg/7+Ph4eNBcXcOBGnjqqafq6j355JPDfPOwsCYokwPF22+/XZL0zne+U9LUy4VNgnHmZYGZ5K233iqpmEvaFYvXcbzoeIw40KQdvOzBvn37wri+//3vl1S4yCN20zfGgT7GQeIA7v0ePIqx4oXIy6W3tzdcw1p01Rv9dDLT19cXnkU2OMIV+3pjPtgYsywrBR7zlzefrJk4Njvl0n8PDocay1/ycfhq7/eRgA3WVSSMGYfjbGKxqpd3H++G0dHRGTv7JHVKQkJCwhzGrGDiGzdu1GWXXXbQa9iV2IHZ3dlB4yzrUn0AHQ7FYFUe7hJG4jvnkiVLSiEiYckwZA+hSfviXTQ24JcK0clVRLBAmFpXV1foF/1EzPODoDjbuwMJwyWARuqWvXv3hrZ6Jh3aDLv2cKOx8xEM6fzzz6+r380UaQdlLFy4sGGgM1iMZ0dHZN2/f38QUZkr2sH/SCiXX365pIIpr1u3rsQ8UdeARmoGxuHiiy/Wb37zm7r+NHLaYDxQK9x5550ltRxs1V23PYlCLCnBrOm3q0CY0/gQTZoaSw/O5ZKfZ/6JTQDPOeccSYV05GpLnisPVdvV1RWYN/PbyGCBdlDv8PBwXQhlqVBXff/735ckXXXVVZKKNcK8sKZ37twZymCd4aiGC/9MwDryxBm0y6X27u7ukqMfY4Xj3UyQmHhCQkLCHMasYOJnnXWW7rzzzqAPBLFpEPpLz4bt7slurjY5ORl2bXRW6MvdBM4ZeUtLS10OQUkl3Rn3uOndvHnzQtsw0+MTB5HYvV8q5/ocGBgIu7gH9qJ/1M/vsWMHu3ucuiwuw02zYqbO3zBiPmFELgF5Tsbx8fHARGCa6EhxynD3aFjI3r17SwyIcWCcGVuY4dve9jZJU3PqbJogVkheblpIn/bu3RvWD/1DiiD9GmaSlI0kQCC0tWvXhhCoHnoV6YX1RzhX0Nraqne84x113zEPrHsPa0wd8+fPLznEMM6YOvr5joc1bmpqCizSUxd6ujLWVnxYCfNG0uTAlrazRvgfqXLTpk1h7lk/9I/v3dQ1PryFebvJJs83beSZpX6es/gshOfIJVraxTpgLq+66qowjqwV6vNAaEiCcWpFzkl4NhjvsbGxNywUbUJCQkLCHxCzgolLUzvvmjVrSt9JU7uSMzAPCMWuCptlR1u8eHG4h13Pw6x60l++n5iY0IUXTkUQgMXB1GBvnkiZHfvRRx8NLMqdCxoFYHK9eldXVyk4v6fLoi8wpziEKAyB8hpZmni43cHBwZIVgptYemgE7o3ZA+yZMYMxof9EQuB/zjFGR0e1bt06SYXrOuOAxYvrrKl3+/btobzYNVoqmKeb3mEVk2VZ6JebVH7zm9+s6wtrxdOYnXrqqaFc+s+6c9Mz+s/8dHZ2lhgvDBTduJsPxmaUSI3uds89XMv6pn2xaz3riX57AhPa7k5BO3bsKAXp4lpPfEB74sTKHrjOn2c3E8YRsLe3t2TFAatGOmJu4qQnUn3wOiyW3NTRWTtnd7HUTj88TC/3sFY9/MPQ0FApyQnPwMjIyB80AFZCQkJCwhuEWcHEcS5Bl8YpcpwcF30WrJlrYT3oGT0gk1QwHQ/9ySc6U/SbuElv3749JF1Fv0eQKE+Cyw7OznrRRReVrBNgL3y6W+3RhL10ppzneZ3zTvzpesXYPpz2eshXb6vrZA+WKNoDXqGDPf300+vKZI5bW1uDzpG1AFNijmBktJOgR/PmzSsloHYnJxAHQJKm5g4W94UvfKGuXmdglIl08Ytf/ELSVEow2uYWBh4aF5Z3xRVXSCoHAmMspHIYVU8qPjo6Gsqn/5QPI+VZ8dARscSLFOMWJW4X7pYubW1tpXMRv9fXH+vhtNNOC8+NB62iHTB++oQVzeLFi8P6wpeCMyf01/SPUMjel4GBgXCWRT20lTmERWP5xPnahRdeWEpizTj480y9cdgBt0v3BNEzQWLiCQkJCXMYs4KJV6tVLV68OCT0RQ/3qU99StJUCih2YD7ZKWOLBml6bzS3AuF/3/Vh8T//+c9DXR/96EclFd5W7JBeFlID7ZsOHogHUAZ64Njjz+1G2c1hV+hMf/rTnzasz0+5nYF7YKTYsgV4omKXKigLa5XBwcFg6YB9LMzYg1fBTGBKV155ZdB1uz6Za5HIsBZBZ97T0xNYE/1kfBlDLBBYK6ylPXv2BKYF3PuPcXdrCsZubGws1EsKNaQJrBc88cB0oL677qrPqeIWR+i3K5VKkGz4zkMBM3awTvdTqNVqYY74zs9VAPpl6rjwwgvD+GIVwjUewoD1wNht3ry5NCceiIpr3cfhlVdeCfUB2gyrBW4lQ50jIyN69tlnJRVzw5zhfernWpyVxf3DCoj66QPrnfeMn2dJxZzxDjzppJNmLJknJp6QkJAwhzErmPjk5KQGBgaCnTjhPtmVurq6gg7KgyixU/I/unJsUN0DTipYM3pt9Kwe/GjdunVh9yTg1KHSRrG7x/FHXL/l38dBq6SCOW7durWUUou20g5YDfq/T3/606X+ghtvvFGSSim4XIfpLFwqzhP8JP5zn/tc3XWMV7VaDfplJCv6SVkwFPrC94888kgIooQVAvVyDW3mrIIxGxgYCGwadoV0wNyA2GNPmmJobrkDM0P3C2PCBps1+sEPflDSlPUMawPGR4wUt2MGv/zlLyVNMbf3vOc9khS8Pj3Am8cWicM1o2PmTIf+MVeEuXU9b8wyXX/tgadc785nX19fkDzw2KRe+sC1lEk7Jycng0RHv1hHzLenlON5X7VqVZDSsFxC4iFcM/AEI3HgL/oLe2fs/ByN90+8HkkWDbiW9jC+LmVs2bIlPLfEQIql9cTEExISEv4IMCuYuDS183tEQk6bL7vssrDzerJVWIXvxuis7r777sBmP/axj0kqGCCf7L6ecmrx4sWlmCXsojAz2F0cipT+uIWHpzBzho69cqzLdssW2kq99H86Bs61sBo/gfckGXFdjAH1xpHupGK8YaKMS5xEwdNLMYeMM9fCahm7Wq0W5pG5gykhebhtOYwpZsKwJo+KCav0+DvHHHNMyULEJT5YHvpV90o95phjgrUT9dJ2xuqOO+6QVEhvsOw4qiHWF35+QlkegbJSqYR+0VaPp+NesIwZ7LZSqYR15UlYsKJgveF9GHtn0j/q82TezBXt5P+hoaGwRom/wrPP98y3S0ZLly4N0undd99d1x/ag2TmEUjp4+TkZElK4NmkXvpPGZQtld9F7rtC/xlL+h8nfkCvH6fYm2lSiFnzEs/zPAwUYhkT2dbWVnKqYTK//e1vS1I4gPRATStXrgwva+DZYjAb5IXBS3RwcDC8nDyzCW10lUFszhcfFMa/sYj8gJWDKQ5IVq5cGQ7wuAYxjsXFwwTibDKIeYxVHCc9Hgd3IIkz3AA3H3NnGHcO6e7uDmXwMmUj9M0jzsIk1R8wMlZkoffxZiOgjpNPPjk8YPTb46YzZhykxkHN/MHhASRcLYfeqALOPffcuuvjzOm8EB9++GFJxcNNmFkPHfvSSy/pV7/6laRibjxoGOubsuh/rVYL5XlwLtYVGyAbJGPLoX1fX19Yk5hOxrlD4zK5l4PedevWhbHybPKsO9Q9vORpe3t7e7iX9U2bmDPmhXZQZuwez4uQe5gr4OucZ6qlpaX0rPJucNNdxof677333qCm4n3lJs1sFrQ1zgZGeYwF90yn0myEpE5JSEhImMOYFUycbNMf/vCHJRUHTey6lUpF73rXuySpFBoWJuR5NBG3Vq1aVWLiMARYnWe0hrk88cQTgcVRPqIauzkqCk8s0dzcHMQrD2wPu4ExwAicse7duzeIpO6qTrs8SUIsRXDoBXdGe74AACAASURBVAPxbDmHE2bT8zLCFDy3KOOyadOmcEANM+RwGtZFrkt+Z7w2btwYVCwApsJBJvXBojHPXLx4cWDJSG2wK5gojkGMQ+wg5RKIZ3t38zgOvGGkr7zySmDaMDD+d9BmJKa1a9eW2Dnj62aCHuZ1bGysFJ4XVocZJuoGpEnWDn1cuHBhncki30nFemO8WaNr166VNMU+qc9DEdBGQigAkjXs3bs31OdSAkyYsnmGpstFimqHg3I/dHeX/fhZon9I2J65i/F2Z5yurq6wNtEkeIIaz6AUJ7SgPz6vh4PExBMSEhLmMGYFE8+yTE1NTYGh/frXv5ZU7GhbtmwppTDzoPgOWMnQ0FBgD+4Weyi89NJLYad03TM7p9cPc5iYmCg5BrmTDTuzO0mAjo6OUI8HmPKUYyBOnuESBkBvzuGcBxkaGhoKY0X/0VEy/rAad6UGixYtKoXzhF2jG/WM6ZS1Zs2a0qFQHOI3vofDYNjn/PnzQ73oxmkbpm8wUSSFOCAVemxnV/xP2bSLOmJ3bSQOX6uEnqXttAemmmVZYN6esMNNTT2hxtDQkC666KK6sQDulu6OWkguO3bsCGsV9sh4wLxhojjDIPGeeOKJpVC4zK/nq+TQFr3zAw88EPpB/3hGWcO042DOdDwLtIl3AHOGGSjjERsesPa8DMaB5w1JjPWwcOHCcC+H3qxdfzY86cxMDy4PhcTEExISEuYwZgUTl6YY36OPPiqpcKkGK1euLDFR2KM7cMBq43RHja5tBHbdoaGhsBOjq4MhYFKGXtFd3Gu1WsmEzZkpbArm5OZtTz/9dGBgHvAL3bAHWfLTdKmcaoo+wKb5n7rom1SwJRhYI7dzWBc6vVjaoR4CE6Hf9NRisXu+sxScf2gj17pUNTQ0FK6BtdN/2kFZcVIAaYp9xWED4n4z/sClCeZhxYoVQWpB54su2lOsAdoR99vDyLp5GmsU5r5s2bISA7/55pslFWuTMyAkBcrmXOnhhx8O0pK7rj/wwAOSyvN78cUXh/4jrTLu9Iv6eFY43wFY/hwtfIx8nP28LP709Gj0z0Ng03/eVaeffnp4N9DfRs59zCll7d27t+TOfzhWKSAx8YSEhIQ5jFnDxCcnJ8Ou5+7ZMBipbEni8BRr1Wo1MC2YiLvocyLPzhy7I8Oq+A3GhT4VVsHOHduE0w8Y93R9lgrW7EF+XnzxxcC4/YQbnRzsEsSBoICzVWcqMFeYwvLly0s28x5YjH67zTtMVionZoaRMd4wI6wFYK4bNmwI+l36iZ04c4e0hmNNzLoYV3feQvcL2+ITpr5gwYLAPCmP8mHThI0l4BjjwLpYvHhxYGT0289EGCN3xhkfHw/fMXYukbBWPOn2dPpV11Fz5sI8uI07rPpIgZMRemXWDvXyHLhN+L333hvWG6wciQ89PnCLqjisBhKAW315+IGDBSBj3GkPY0hb0clT9q9//eswF5xx8K4APCPx+pam9Olu7XWo5NrT4aiYeJZlC7Isuz3LsueyLHs2y7K3Z1m2MMuyn2VZ9sKBz0OHbEtISEhIOCIcLRP/V0n/mef5VVmWtUjqkPTfJN2X5/m/ZFn295L+XtLfHayQDRs2HJJhOzxRLiznYLssu3sjwNQOBreaaIRarRaYAewV1ox1iNu8w1A5vd+3b19gBpQFq4G94ro9XZhL2ASMl/9hoMAlBWf3Un04Aal8buHYsWNHKck0rAmGTH/5nrCzXV1dwcsRSQivWtdzHg6w6QZYWMB6Yn8C5sbXF23ke9YhVhWjo6OBVaGjps1un869cehYt75gvJHI+N89Cj0IU/wb6w3Wx9oB9MmtSGL4GsaXI/ZkZO15QDPAGuXZgSG/7W1va7ieOEfx53q6Z9VDTjsDR2piXcbPjEtPSF5YtNx6662SFCRE5mHBggXhXpds3igcMRPPsmyepMskfUOS8jwfy/O8X9KHJH3zwGXflPTho21kQkJCQsL0OBomfpKkXZL+LcuycyStk/RlScvyPN8uSXmeb8+y7PAo9gzhOiP3yjwcNLJaqdVqgWm47Se7u+uOY/YLI6MMmAkMADZD4CN0lXEgKFga1+J95/rLOB6DNBUXBMaNjp//qYe+UEds3eCec+6xSh/43lPOVavVUgCsOBGyVOgZY89ccDjepDMFbffYHszt4OBgkEo8YQISEGwOyYCQsVdeeaWkqXGDVXpyAFgcY0XoZdZftVoNbJl6+I2zACQv5hA9dMyikbzc6od59rGdjoG7braRBIQ0U61Ww/whpWDBwdr0lHLTeScS74R+MpZIAtw7na8HbUby8O8B8xEH12KMAGuE5zlOByfVh4KOz4GkIrQwzztr5DOf+YykIun2O97xjtAPt346HByNTrxZ0vmSvpbn+XmSBjWlOpkRsiy7Jsuyx7Ise+wo2pCQkJDwR42jYeJbJG3J83ztgf9v19RLfGeWZSsOsPAVkl6d7uY8z2+QdIMkrV69Or/jjjuCzhAdKZ9xbAV2Rj4/8YlPTHXkALthF2THHhoaKnmooddjt/3ABz4gqYhlwb333HNPKcC/60L53xM6jIyMlCLOAdoOY6A9sGwsX7Zt21ZKcgyLiG254/aAOLmBB5dHv4vVj5+mx3CrE1iex3CBVbnkIhUMEFYJy0ea4XfGva2tLeh4qd+jWGIRwBgjRWzbti3op2FvMCLa6El4KWvHjh1hjXgYWaxGqB8dtdvYNzU1hTHycxPYlocT5rp4nmB8XMN4/uhHP6q756/+6q8k1VtpsN5gwgDrLGy+3T57165dYV1hQYHVjVuMMXcHs2tmTGCttMvj02zbti3M37vf/W5JhSesS41YK00nqVEu0oE/X1ghsd7pw3nnnVdKy8c802/WFH3ieViyZEk4t2G847RvkkJMqKuuukpSIdVMTEyENYjkxTugo6NDf/EXf1Hq43Q4Yiae5/kOSZuzLHvLga/eI+kZST+U9KkD331K0l3T3J6QkJCQ8BrgaK1TvijpOwcsU16U9F80tTH8ryzLPiNpk6SPzbQwjzUR21B6YmK3sIB1sVPHMTdgXh4PwiPzfec736mrY+HChWEX95NumBEMCLYRs1zuYacGfi/9Rkf6gx/8ILQLXSwsEqYUB6WXCj0zdZJ4IP4NYOPsSSvAdddd19Ba4Bvf+IakQr93/fXXS5Kuvfbauuuuv/768N33vvc9ScWJPzGzAeOB7nRwcDC02aPI0dbPfvazkqSvfvWrdX365S9/GeYPBgQ8jjrsCoba1tYW2KJLWLTDPTTPOussSQVzRe8tlT1iWZPuZRuzaE9MjD6V8YCpwkRhl+vWrdOaNWskFUzvpptuqqvHY7B7DJMlS5aEGOu0lX7zrHgseMpasWJFkKSw7ebMA6mFMXWb9vgsBgmMtvJcwXyxrJlOn85v2PKjV3fbf5eQ58+fH+YKyxXGwethzOKokoyNW13xnnErHTA6OhoYOPNIW88999wZp2c7qpd4nuePS7pgmp/ec7hlVSqV8DLzl9yWLVvCi73RS5wX5UxFkOmAaua1Bi8NXioeAB6wYAiHOTo6Gh4az7DiLzVXicQPCuZYjOG3vvUtSeVDIl6ILS0tuu666yRJX/ziF+vKZfF+5StfkVR+eXNfW1tbcPsGLhrzUPE/fb366qsbbg6AtgIWf5Zletvb3iapeBFiQofoz4sBsdsJQtwmPnnIPSQpZmXkShwZGQmH0MwVGzsvNTZiz+aydevWMI+sDVQevAg5+KN+DuT8ME8qq3MwX2TcGQ/UAKtXr9b9999fdw/kyDcx7mVO77rrrpAnEnWgmw3zXDPOtCfOfckhP88IZbD+GznOSYUzjefWZJzZLCiDtm/dujUEr+KF/Od//ud1ZfCcMbesi6eeeiq8pxhvnivKBARAY45bW1vD2mR9xQYCMw2QldzuExISEuYwZoXbfaVSUWdnZxAZPb9dV1dXYADsVO4UwWEZbI7dfSbuq+yMsVgLGrnBHsxMCnjISwAjQTTzuuLATUgczkQQgWmXi+hxe6kPNgUjgRGy48NIh4aGQr9uuOGGuvphsZTvjB2GNjo6WgriRL9oB7/TPuq4/vrrw3f/+q//WlfuF77wBUmFOuF973tfXb9vuummcC1iPWo0mBGsmXmJE3+wrphf1iSqF0RmTwLyZ3/2Z5KmWB1OZbDJf//3f5dUsEpnoqhzli9frssvv1xS4dzCYTvPggfxgk1O5yznB+r0F3Gfg9aY3cKiYeBci1Tj+Smpo7W1NaxJ2hJnhI/rB6yHRx55JIwvYwND5f+ZHKT6b6jvKOPZZ5+VVEgxcdpC1qiHnAaeRi0OasXc0G/K5R4SZ7DuYxNb2uIahpGRkdDnQyEx8YSEhIQ5jFnDxNva2oI+yl3N8zwPbIHvXAcMczyY230jOKuPmSs7JLstbaQ+T9RL/YODgyXmwc6K/t71+pQNg2lvby+lEOOAx3WDsUmfVO+cAWuibWeffbakQv/IvbHTBwwBRubOPH44RKLq+BDVw6iim6ds2sUYx4HO6B9rAQbs7uX/+Z//KamQovbv318X0lYqH9wCxgh3/ImJidLhFwyRMmHZ6EYZF9bHsmXLwkE6axX9KqzWExBQZ5y+jDGjLJgp40AZjcKuTgfmyg+6GevFixeHZ4FDQTDTQ7YYPu70ydMUPv744yWWikRNm12qmA6kVUSy8TAbrCXWOXP3m9/8Jowfc8LhO9IF17rT17Jly8I6ni5lXHwtZ0+si0WLFoUDVMYdqbG9vX3GY56YeEJCQsIcxqxg4iRKhmW6eZNU1ld7gmB3IAATExOlU153v4Z1sYPDbkZHRwPzY6eERfC9h69F3/rUU08Fk0HqwYwIxwLXY8N+YPctLS0l6QRm6IHnXWcfSyTuTIKumLY7m1y8eHFggLQdtg6bgGUxLjCU2EnmcMJpHilgbrDuzs7O0DbGGbYD0I1j0cH8SyoFLUPioizGiHMF+k+auN27dwdmxjkNFh/MK4kXsF5hbjds2FAKQcD8wxQ9fRvWMdOd5/i6R2f7p3/6p3XtYW6HhoYCE40tRqTy+Q7jHZ/V0FY3m8P8krXDdTi2rFixIjBex+GEZiUEgSdkBpwfuJv8ypUrS05MH/rQh6Ytg7nkTGLPnj1BSnDzX+aKtnMGwdhJhSUa64z1ND4+XnrGGyEx8YSEhIQ5jFnBxDds2KDFixeXWAa7/vDwcPib3Txm6fG1IA4Ze6gEyY12+1qtdtghcmcCT1cFc4OZxe1iN/aEyZ5yiz6gb87zPOhRAZIBDA2dPCwOZvbyyy8Hpwd0dMyJp39jbNERx2naYBxcC/OHVTbSzba2toa20W/WhlsSwfZgMmNjY2HuSbjtwY3QTfM9OtJarRYYOJ+0A6sc9PowVj4Z/7a2tnDvxz/+8boxwzqCOfOEANVqNUhaAHZHmznH8L5Mt7bdWoOx9GQrsa7cfQpYKzBE+kufmPfjjjsuSB5cw1plrugL6xxnGOZpOvBMeoKHg12LLT2OUQD/AffPiMPaYuveCCR+4Bk+6aSTwjpiLFirOB/xieMWz5RUSAVIcvw2UxYuJSaekJCQMKcxK5j4ueeeq1/84hd1IVil+uQEsLZGlgbc44x027ZtQUcXe/VJBQNhB8dqhF1w8+bNYcd1pu8haWE9caJbP1nnE13soTyyZqIHpL/osD1ZrlQw7Ea6wunA2MNAYRewOcbDw4/Csnfs2BH0qtje0jYYKUwdFsm4j4+PhzmLEybE9blPAaFh+/r6AmtDb+nSlLNIxnBycjKMOTp+2t4oDAFShic4lgo27+nCPLFI7Avg0gkske8pg367rjyGrx/vw8H0zc54sXXGsgkfB+bn4YcfDpIHTJtngrYx/x5Ua+fOnUGi8rawNtyiyaVWqfBqdZ03QO+OhIoPxDXXXBOuufDCCyVJX//61yVJn/vc5+rKwB+C3zdv3hzawlkHoRjoC/ONDX58foEFDfMbW8YdKvEMSEw8ISEhYQ5jVjDxsbExvfzyy4HlwW5m4nXJDkYAJFhWzEgb2adSD6fa/B7Hi4D5wCrYddEnwlicIXZ1dYV7YSvuicqpPYyUMmF/zc3N4R7qRWfGjs2YcfIdpxWDadFGT75L2bQZllOr1UqJYbkH/Z6XAWuILRCQrGgrbApmzD3Mw8G88WaKg/kJ/PCHP5RUjIPPy7x580r28IdKQ8cco9Ncv359GAN036wvJD3mBRbNepg/f37JPvuee+6RVKwRWKyvN49TE/erEUgCHdvee7IT1hOBvagH1k0ZHR0doX9Ib8wnY9rIg3lgYCAwcaQj1gjX0hfKPhjcZ4LQu9z74x//WJL05S9/WZJ04403hoBqxARyBu5Aqj311FPDWqH/6L5ZGzxXPDtxomj087Hn6+EiMfGEhISEOYxZwcSHh4f1zDPPBPtldmx2pVtvvbUUkhQ2RSJVdl8SS8AC2tvbg/UBUc7Y/dBHwZhgcbD44eHhUmwUZ420g+9hxP39/eEaT4+FBQIsBr07jBnGWq1WQ79j21KpYHEupcBcfvzjHwfdHHo+h48zbKerqyuwRcbCvUtfC7g10muBPM9LkhfrCmsgpAvYT5xwgnG+7LLLJBX6U9aOjzcsG8sHqbDCYE2gi4WxwQi5jnkfGBgoJc9GzwpDZT3yydz19/fr85//fN29tJVQwEgV9Ju1xZqZN29eWFfobRt5hn7605/WocB6op/873GHuru7w5kKbJU5YT4Yo4OtQ0/MAnj+GHc/i4rTM37pS1+q+w3dP/p2yuYMplKpBOmIeD5IVnwy//Sb53vRokVBkmKNsp4GBwf113/91w37GmNWvMQBk+ChHbMsC5PKNW6cz+8cSMXmW5TDAR+LhwH04EK8VJ966qngvMMCuO222yQVGYQwj2IiiQV+9913l+J1Iypz4OZxpl01Ebvuo0bh0IYHkUVO33A0OO6440rqDEyv6Oedd94Zxjcel/Hx8VJGG8R6xszN9KiD9saHS7wseFnzIiAw1F133VV3b1dXV+lwjP5yjbePh2vPnj2l3IY8PLwIXI0SB3NypxPG019q9Ilcp9TR29sbDiM9fCkqA9YKfeLF1dfXFw4QAf1D5eHha8F0eWKpn8NI2uVmq4j9bBiSSvHcecn6eEBaarWafvKTn0gq1iThDHjhATa373//+5KmVBLTOSsdLhq9xOkLKi9/US9ZsqTO0S0G482LlzHDXFcq1hnwMsB0wfIaqU82btw4Y2e5pE5JSEhImMOYFUw8yzI1NzeXVAewnqampsAq2FVhBhwC+vcwl0qlErLcwERhAohmnr0Exhabe7kY6wF6aB+MNM/z0H52Wxjf7bffLqlgSM5C6H+lUgm/0RZYLPX57k5f9u3bF36DgbjDEP1HvROHm/UwBrA12uOhcEmwEI8Z4wgzZmxcioBtIrI3NTWF8vjNTfnoP22HCV9xxRVBNHXVlzN0vkeNtmvXrqB6I3EG7I62xQGKpCLQP3N8//33h/XGgRpzgiSG6uVgYYwB16Aaw6GGcYYRdnZ2Bhd8wFg5E/YQCq6qk4r5jnNJSuUQDXFSEsYOtQKH44D5YM1Q5rHHHhueTc/+Q59YM41CxcZtYq5wkcf8FgmY/rL+41yjbnbpYZSnCzTGNUh49MFzx/o4dHZ2hsNQD9qGOeJMkJh4QkJCwhzGrGDiuDuzC3oCiDg4uuct9Ozz3Mvh1eTkZGBc7LywSHZVPrkXtpnneSnHorMJ4E5IWZYFFhM7sUgFI0N3ht4NlsXuXKlUwm4Oi+R/xsbrpQ/Dw8Ml/S16U5gKuz71xmyLtnoqOVg98+B9g6nGoXL5zbPMu+lhbCbpzA82Qzs4LKMMpJrNmzeHkAFc644h9B925anX4r+RXtxFnjMSvp9J2FCYIuwdnTCHx1u3bg0MjDVB2xgjWC5jdTAcSqfqpnEPPfRQmBvm3YOysYZYZ0hMZ5xxRuncCp04YK4Yw9gNnTniWWRdcY6ACz1Szkc+8pFSf6gfSQzW7qnW3AQxhpsf+6E793K+8MILL4RzApdwmCP+9zSAL730Umgz0iDP9+EgMfGEhISEOYxZwcSzLFO1Wg3MwC0ydu3aFXZ+dmrYNMwBU0PXJU1MTAQ258GCXM/qiYPzPA9s1a0xaI/fyy5bqVSCwwJMGAYIi4NdAXeSiMulnzAhD1UK4rMDWAX9x0qCXR9mQH8ZW5hs3B/6CXulTKQNmCvtamtrqwsKJRWSB31CwmKe4/AEMFCkIlgObaN+D0z129/+NjAwxtHd7uPAanH/ly5dGr5D1+zJN5D84oQlkvTtb39b0pSOHimQeinjvvvuk1Sw7Pe8Zyqf+MGCOrHu3PwUix7Cyt5yyy0lBxU3pcNcjrH1c47Vq1eXzCMxv6W/jI9Lgk8++WSJ+XsiB2fAXN/e3h7014xdoyQvboIZg3XkppaAVHfuzv7SSy8FyxzqJ9AVY4YEytpBQnnooYdCvwiexdixNjBPdFPDLVu2lFL1udXRTJCYeEJCQsIcxqxg4oD0RuxKse0r7AXdHIwYtnHllVdKKhLnwkK3bdsW7sE+l93PrVGm0zPTFvR7MAHX2/up9tjYWCk4ETsz/fJgPuhGYXsDAwPhO9oKe/V0UX4CvnLlyjpLFalwnXZpBZ0efVi8eHFoqwcT8tCgsGzGg+9bWlpCG/nOx8jPKhiP0dHRwHiwcGCe+WR+Xd9dqVRCOeecc46kQq/tEgjjQ3vOOOOMkFwXcC+smv+dMcVJpgn0z5zBbj30MDphfA4uu+yykpUV84C0gLUGZczE+QXQB6RLzijWrFkTrmFOaDtrFf0uPhSxRY80vZ7ZE0vQFw8AFoP1znpiDvHXuPTSSxv09tBnAO4QiDVN7MpPcDYPec06Y0zp98svvxyeSdaqS7bo9T3Ryr59+0q6fdbX4SAx8YSEhIQ5jFnBxDs6OnTBBReEnQxdIS7Pg4OD4W92aE7UPcUZTCZmbLAJWKUzhEahK6vVatg1cVlG74aOjF049rqTplgXrALPSGya0WN6ujbAjv3UU08FxkUbYXxIBPwPy+BzZGQk1OfpwNymHcRJHOiXWwvAXmgj7Md197t37w66aVidM2Lu5R7SdcXhBtCNcq1bIXmQp0qlEhInMEZuwePJeJFmYtB/xpD2wKbduzaedz/bQF+PtQy/u+WRVOj8aXMj70rWH7/fd999eu9731vXB7esiOdGKhg4IQVYw1JhScM48z86Yli9S4hSobeHPQPmkr7xDLe2th4y+crBGDjw8yH8Ma666ipJxbNLW1n/cUJlnifeGbQRHTj3ICmdeeaZYUxcomfNeNC4g1nH8GzkeR7s2g+FxMQTEhIS5jBmBRN/+umn9Za3vCXEHeEUH/3bnj17SvpU2EzMAKRi94t3Pe517784bGz8PWXOmzcv1AcjY9cmUA3slZPpOHQn/eD0HzZFjAnadcstt0gqmBPxMyYmJkoWHHF8E6lgV5RF/RMTE4FhNrKTdn0+ZU0XcH+uIE5f5oGwONeAxaK7RO/6+OOPB8bJXHEvEgnnCx40LLZ4cpt69KhIVW5ZhEflq6++WvLyY67c2xS7adbwdFYbjWzX/VqepT179pRSmlGfJ6uATbIum5ubS5KWpwf0cwRszHt7e8OzD/PneWMMOS/j+XNpWirmgjMwt6WP/T+kwj8iBm1HOkZ/Tjt4pmH3HR0doe3uUwIz93dUHCKacNSsK8b1UAljYiQmnpCQkDCHMSuY+HHHHad/+Id/CPaU7MLEP+ns7CzpfGExfnrsrLq1tbWkK/PA/5SJDpsduq+vL+yi559/vqSCzcEMPMUTesDdu3eXvCthAB7YHxZHe+LYMTBvdHIwFdrlViKUcdpppwUmRP+pl3F1qYUy77nnnhJL5zdnZC4hxfc5m3Cbb7cJpi/j4+PB+sg952CRlP3BD35QDhgh/eU8g/gc6PU9vOuDDz5Y0u2zJt1TGGZOf+NUgsyfW1+4FMVa5Szg/PPPD5YqHpOHepkHdOe0dzr9aaP0XnFbpeK8pbW1tZSImnYw7p7QI44ESRt5BigL0G/mHx1+f3//tFEYpXK6xYMlTWA9N9I502/GPdaFA55JPEPxF+B75pAUi+vXrw/vC86AWFesQ9YKbY9ZN2319IOHg6N6iWdZ9n9IulpSLulJSf9F0gpJt0paKGm9pE/meX5QC/ZNmzbp85//fDD4R5ThJfTiiy+WggUxIf4weQbvkZGRsCBZECx8BoxNA8cG/t+zZ094eSD6YbD/ox/9SFLxgrj11lvr2rd79+5Sm91BiEn1g1UWf0tLSxDvPAsOfWLz4uHiEHN8fFynn366pGLRUAYmcCwyDl54UObNm1fKbu6Hg4iznj+S9jU3N5cOMD2zEi8kd4pYvXp1uPZXv/qVpHLYA3ckoZ2VSiXUi3MH4HvG2wOPzZs3r+S05WagtJmymMt4s6E/rCM2BMr0vKyI/fv27QuHjA5/IVI/1xMSN4aL8XG43BjMR09PT2lMIDZuWEBf2LB6enrCAS4vR16EDsgN5nybN28OWZcYT9pBPRxSHswt3Q+DHaz72BxUmgqDwIb/8MMPSyrWGzk1wfXXXy+pGMNly5aFFzEbESalzC/PlZu4joyMlMwOfV3PBEesTsmybKWkL0m6IM/zsyQ1Sfq4pP8h6X/meX6qpD5JnznSOhISEhISDo6jVac0S2rPsmxcUoek7ZLeLekvD/z+TUn/KOlrByvkpJNO0j//8z8HdscOjkh96qmnhh0L9orIAhPkcIbdNXYo4TvPhsKux6GFH7xUKpW6XVMqDk2uuOIKSYWjDDkHMRvcunVrSQR29Q3fe7hPdvTh4eGwQyMlcA+syoMOwT5fy2w5MTwJhwf9icVBF2vd/BOVACyIIFaxGzoHP0gRzIOzTHf7l+qdWKRifrkXKYo5nZiYCOuKtQGLRp0Aa8aszIOMtba2BvYO8/LckrBJVyGslP10wgAAIABJREFUXr06OBt5JhnvL+2Cgcf5GoGL5owRawkw3qxlSaUkCbBJPxSlHfv27Ss5whAKA/h6oI5Y3cm6beTCf/XVV6sRXMIBtIdDWkIk/Nu//Zsk6dprry1lt0dN2gjMT6xepD+Ms5ungjj0rzs2vqHOPnmeb5X0/0japKmX915J6yT153nObG2RtHK6+7MsuybLsseyLHuMjiQkJCQkHB6OmIlnWdYj6UOSTpTUL+k2Se+f5tJpFVR5nt8g6QZJWrNmTf6Rj3wk7JjscuxOAwMDYWeGNaB3il3FpUKHx+4XZ6xHrxlndZeKIP3THZ7CktlxMQcjKzbXXnfddZKkn/70p5KmHJY48HCTPdgeLA7G5uZF1Wo1sDbYBf3yg0d2fa5/4IEHSq7bSDouAaBPZ1z6+vpKLBFJ5z/+4z/qymRsOSx65JFHJE2xykYHa4cDzP8ALIbx4IDJ09ZJhX4TtkpbaTvjzlp69dVXQ9gGJBp+Q/JhjlijMHL6n+d5ONOBpWKOiqTF9zDij370o5Kmxh89Mf3kzAcGPJ3EIU2fBb6Rbpjv6SMSyy233BKy2SOdANYZ7WEdeqq7eCzciYp7YZv0oVqtBjbupoM8T8zLjTfeKEkhO/10/fJ+e0ho/r/22mtL9wIMFXjOzzvvPEllp6Of//znpeeYuWCuPDx2HFSO54z3Gut9165dJeetRjgaE8P3Snopz/NdeZ6PS7pD0sWSFmRZxtO7StK2RgUkJCQkJBwdjoYqbZL0J1mWdUgalvQeSY9Jul/SVZqyUPmUpLsOVdDIyIiee+65UnAnnF5iXR0Je2FI3AOLxxRvJtnZGwXiicPPUh5WEuBv//ZvJRUsy0+xN27cWDqdBjAVD1oVB4+SptiPu7/zCQPiHlg0jGn+/PnhN6QUmDnfI7W4lLN///5S0CqsBWBMbrZJe2hvS0tLMM/iPMPZo1vrUObIyEgp5C342c9+Jkn6kz/5E0kFI4ddHX/88WGN0F8YEBIQJoa07xe/+IWkKeZEiARYMmPikgfnKLBu2Nfw8HBgsUh4MHD06SR2cAwODobyMVdjjSAJNjLFwzLkYMD0j7mkbCyvpksJxrmFJ0zxELnz588P50HMmc8dfWD8jwQHS6js5waA+edZne7dQPhamPcll1wiqWDXfo4AWltbw9rARR+pGOnJzRPjUMi0GemEMyBCc8wER6MTXyvpdk2ZET55oKwbJP2dpP+aZdnvJC2S9I0jrSMhISEh4eDIGunN3kicfvrp+U033RT+R9/Gjrlz587AZmAAsFmYgDvWwGhGR0fr3FylglXFumepYBuw3QULFpR0dDAhdlUcSNC7IiGMjo6G3TtOABzXh66cewB9aG1tDffCKrECgZHQT9oZB5n3cKKMK4wIawb6C5tta2sL5XpSBA8fyz2UDcsYGRkJ9ucwPvrgyZ451cdaZNu2bYEBcY0zf8ZhOsZCwoR3vOMdkgq9OTpaGDHMlDHbunVrGHtnfB74iP57ALIlS5YEyYPxpV/c68HLsO2PgWTJ2HEtnzBk7OOHhoZCOXzGIW6nA8yRZ2dsbKxk8+ys1Z+HuN8O1g5tdrd89N2LFi1qaB9N/R4+lyB5MZDcWXecW+DcRkgG2PaXvvSlaes8GHh2aM+GDRvCXKHD5lwDiYw1jKTjVjtS4X/CnODWn+f5If3vk9t9QkJCwhzGrHC7B+5KD2NbsmRJYM9YUvA/ek5nRHHKL9dBw4jQCcMm3Uazo6MjeKrBHthd8S6lLP6HqXZ0dAQ9dZx2LG6Hp7pCMqBvo6Ojga3jbQaLc5bjEtWCBQtCv9C7ueu026/S3sHBwdJ5QcywpYLVeoqvOCUcbJH6YVVxSATaKhV65mq1Wue1KpV18+7BCBtasmRJGDPXHzNGMHMsS2LrJddBM5+MA+PtXrCM7eDgYFhvsEbaypjSJ19L+/fvD2MCe6RfnsINHTi/t7a2lsIcHCqIEmXQ9v7+/rBm6Ld7UMLE6T8MfO/evaWkKzB81hXrjTF2j+ajBWuENiOROaaTGhgDLHYaSS/MD4Gxmpubw/P06KOPSirGle/RxfM+Q0IbGxsL0gJjF4cDnikSE09ISEiYw5g1TLxSqYRdzoMdjY2Nhd0dVgMzhCHDnDytUsw2YQCwSXTR6KNgbjCmTZs2Bcbhp8jssp7YACYzMTFR8sCEecEUYYYeiCpm5h4Yh/bAZvme/lNntVotWazQT68vbrM0xRg4YXcJBysMyvZgT3HaOu5hPj3BhIeKjfWtsGPaCvOPE1HH4P84XRaACRFoCusQmBpzF3v6eQhadM8ey4bxiaVI+udhk5kHP4uILV+YR9bX/9/e2cfYfZX5/Xvm3plxPDO2x5544+YFk+bNeaMbhSTQskoX2t1Eq9CKVrBaCdpSVYJqRVu1XRBSq/63SytYkAq7CLYKhfKyWUgCSgkLhUYKISHekGwWMOBgkmxtj8f2jD3OvNyZ+fWPez/nPvP9zfglJXPvpOeRRnfu7/5+5zznOef8zvc853lh7CAPT2ZN37VardpujL7A4sZTjNHuuIuhPuo5XxoeHs47KT9jwbeCtnEGwm5jaWkpzyt2L/Shh49lPKBfjqGH+Q05v/Wtb5XU9aImeN1a/gsga9Lf8Z6h72gb44Bdxr59+7J1j6f984TZhNaO51fuGUz5F0IFiRcqVKjQJqa+QOJVVanVauVVz3WZS0tLNb0yq52jZ5B4tBDwQPPU48iX1ZBVdtu2bVlv5+FqQQ5uE0tdV155Zb6HazfeeKOkrl0uyAgEyOqPnn9iYqKWQMB1z45qQWwrKys15Ef5HhIVHR47hZgeDRt3bM25DgKnbcgMy4/FxcVcPvU6qoR3yoiRAGkfbQDVOMqD4lkBKA2e6Gfk/dRTT0nqoivKjjsfLDxov4fPZazwiR58LZ4YM/Rr9NjztnANmTkidRQN+ltYWDhnomDkTVmUTV379+/P45jEJT5H6Ds/v/n2t7+d5xc7XI87hPypD0R+5MiRfC9lgFY9ETO8x/gjkMf18XbTl4wtziIuu+yyPFbQicNPTN4d68eDc8eOHXlHwe4ICxP6Ctl54oedO3fWdppuDXY+1Bcv8ZSSBgcHa9uc6EpNY/0gja0SRBhMBHX8+PHawR4vNTeX4sXvoVKl7iTlRcS9fI8hWKX2QuEHWwwiH9wePpcX4dTUVO2gFt4ogwHrL1Wpe0iCzOCVMniZIxeenZ2dzfXhku0mnLxEmIjIkheV1O0j+PAQqEwueGehiHlR/V5ovUPZm266KR9YMjEI10ofoV6B4sE37WJiunqBl1c8yIy/Dw4O5nZSroe+pb04krGFHh0dzf3t8lwv8BRlv/TSSzWZUJaPFUxf4TmGBKYMXqaMYd/2e5z5l156qRbaGDn44uLAY/fu3RnI0I+umkGWyG4t02gPLEc/eyYvDxmwvLycX7gOhugH6sUJKIYlILcA7yI3B6V+5MD3iYmJLF/ag5PXhVBRpxQqVKjQJqa+QuKsem74PzY2VlvNQCaY6LBV8Uw/i4uLGQlzoMX2ltUft37PVr1169balpzDCU9OAHpmNZ6ZmclIlzI8Swr1cB/IBZQzODiY0Ru/eaZuz48Zt5KgGXYebHP9IC86CNEWNwdzF2I350J2HPzF8kB+9C/PeHCvmHHGkw64qguU7eNC6qJnroGUfNvrDi3btm3L/Utf0TfwQZnIhYNk+mfHjh21sLyU5So/2hLDzSJXZAEiBpHDM2Mnhjlw8oNjP/Clz+Bn+/btuXxXgSBvdjkgRnYRp0+fzrLyQHPrJWugjBdeeCHz7wYLnjmKOtYKtUz7+ORAlUB07Frgj53Q0aNHM+L3ec297PC93ueeey4niHGVk2dw4tmYnIT5jYr35ThfFiReqFChQpuY+gKJV1WlhYWFjPZY3THNWV5ezqsXn6Bp9FygK1BF1BWDOEBLoAx3g3anlJ07d9Z0YqzQXEcPCDKLDhbci2kf30Eo1E8bKBMUHA/4QCCs1PDICg7aBjlMTk5mnjxTu5vPgRhAGyMjI7XUaW5yhv7ay47oA5790I++AfXRZ8h4586dud20E5nQTvjCwSIGVWLHwb18YmoHzyAmEFqz2cxoyfMhoudlp0VfMaZiOkDKAHm7+SsEEqfPWq1WLU8k/UAb/JCMfpibm1s39C/1epn0FSh/fHy8ZprrOw/qoN3IcHx8PKN15tN6aRGpl/tarVaWBWOGZ9npEOKYd4KHYYjlu/kpZbz97W9fdZ0EHFK3/xiTPEPfobuGaNMjjzxSC23sZXrgq9invD/84PpCqCDxQoUKFdrE1BdIPKWk4eHhjGBAOaCwycnJjM5BCKDZffv2rbqXVY6VM+pKKZ/f0MmBFFndQTnz8/N5lQUpRP1hJFbUqGcEGbhZIG3wdHGus4v8u3kS7UTP784SjUYjlwPS8iznbt5EGSdOnMjX3K0c8sQa7EB47vjx4zXrDIiyuNf7PcrOQyNA8IpeEwR16NChfA15ExiJeulTykCGw8PDWd6eIAS5ehgCeGZXNT8/n/XYbsEBUQZ88uzExEQexx4C1s+C/Byl2Wyu66ADWmbXRr+slTjaHZWYE8wzP6NhjD3xxBM1pxc/Y/JEJnGnSDnsxuCRMtmJwOtaIQVc94+smF9YhxH4jD5cWlrK5r/uvLcexRAWfpZFucjKzZFjYmpPKFF04oUKFSr0/xn1DRJvNBoZmYBuYvqm6IIvdZEp7rI4rBDcKOo0QdweIpRVn5URBBVd2j34vbvWukt5dNd1O2DKxZKFVR8rEvSu8H7ixIlcPjzTbtcjo8Pj+9LSUuaVdrsLPQiN0/sYItZTu3myaeqhr+gfrBcGBgZqp/T0J20BhXiO1ZRSRsceTpe2gHLgGQujaPsP4jrfNFcrKyv5XABU5RY9MWxrlEu036d/scqBd2SE/N1v4OTJk1kmyBeE5vpe0B0IttFo1HZLrl8F3TJ23H/g9OnTNdtyHKc8NC87BMbnV77ylfyM64K57ruMeI7hwdF83NE2eHUfD6nu5MPYwPkGt3v4Y87cdtttWb44F9HvHu6DsMKcjZw6dSqjeMpgh+lJbrCkY1zMz8/Xkmi/HGefgsQLFSpUaBNTXyDxlZUVzc/P51UYNB31Up5YAeSNbpaV29HOyMhIRsIeChY05To0UNX09HTNssDTk7neE75arVZGU24vCpoDkaJvjAhcWu3+7rbmIAPKhPfoYUc5no4LtAeaoY0g4m3btmXdoyffcI9CDycadwIgIWRCvdTnqA9kNjAwkO21QdiE4kVH7smG6Yfx8fHcDi+DVGqMme9973ur+HrsscdqCZex/vCUYqA6nmUXtbKykhH2elY5bmsMCkspZSTGOHfrF8oE7TO2l5aWap6RHkY3BieDV6k7LiYmJjKyZydEXyEzfqf/QaSXXnrpeYeWdb+B559/PrfTUxYydmLKRKl+RhPvcd0z3pVYtvg52szMTN7ZIH/qdW9XKN7v1m1+xuRJP+IccWsfDzl8PlSQeKFChQptYuqL9GzXXntt9clPfjKjaffSWlxczPor0CoIxBMdODKPSXdd38Sq54kAomWGh6JFJwdi41lPgSbVAw2BjN1zL8aQkLrIPaVUi7tB+TExr9RFZqzyr3nNazJqAXFQL3J129foyely9OQM61nY3HbbbXJCN82z6AZBdehIqavVamWEe9111626h/aCps4H/fEMMqN+CBT0/e9/f93ECsiMNtx5552r2t2P5DsQyNMTQs8991xGhoTtRSdPPyAH5hJjJsrB9bznoohIIQJRufUGuxx2eYSOlaR7771XUjctH2dSvCPg1XcsBw4cyO0hsBU7XT7Rq6MlYK5OTExkxO0WTcxJ5MGujp3IzMxMbXfOPCPtYEnPVqhQoUKvcuoLnTjR01jdQM6sWENDQzWdL/dweo7ey21Sq6rKK6CnCwPl8juoG7vqSy65pJZ0AjTn+kUQQ/Qkc9tudOB89+iBbulATJlYFvx4QgGQc7SecZTk4VSRA2ggen+CoijPES+ICAQBMgWpPvroo6t2BVLXc3U9wiJgeXk5t28tKwSpi5C+853vrKo3ygy5Pvnkk6ueBXk7MhoeHl51lhLL9bCt3/3udyV1w5ly/+HDh2v6a7eX94QXyDillMcT5SFn39XRxmhzfdddd61qp6cbJKk3Xq6+Qzp27Fhtx+W7NsamJy946qmnsh4d+fpOMOqgY1sOHTqkp59+WlI3XDNyZT4xls4WO4W+w9rqvvvuW3XdvTwfffRRSW2rNN4jeIayE3C/E+QD2h8YGMjJRTxcLtEz6UvGWbTEoX85c+EddSFUkHihQoUKbWLqCyQ+PDysq666qmZfGdO1gXRZxVnBsLH2oOo822w2s504z6IjRSfrJ92god27d9cSJcMbKArECnoHGUcE6ZHuqNfRjqdJW1lZWRVAXqojIHYvXmbkxSMdIg8QCygn6vWjB2Jsj1tvgDpAMOw2YqJZbPlBgPRD9AOQlGU9PT2d2/PNb35TUlf+xDd3u+VIIC7Ko/206ZlnnpHUjTdNtLuzEVYY9NWb3vQmSd0dIKhrdHRUr3vd6yTVk378v5Anxj4fcosK+o6Y2K7PP3nyZLa64WyDfiYCJHPjjjvukNSdO8vLy+v2CXy4pUucU/CCLh5rJHjmd9fvf/SjH9X73ve+XI7UtUpCX04/YAOOB+/tt9+en6PdnjQd3pH73XffLak7dh944IFanB3eDb7Dd+/mbdu21TzCmc8XQn1xsHnTTTdV999/f22LyAtkZGQkD2JeapAbybup4dDQUN6qMHiY5AwiOsxfxDfeeGOe6D55PAASiwhlbN26NZsp0R4mgrtho2aAj3jQSYfzEqezOWjxjCjc/4tf/CKbvXENPnDIof1M1HiwyIvenU08w4kPXO6bnp7OPFEfahX6hu+8IGPAJFQQ8MxE4bCKrTBtZBxUVZXlycLCmHnjG9+oSPRdVHN4kg8WYO//H/3oR5K6L2gOS1NK+SXi6hKIcc3WGRO0ycnJ3G6cSgApuJ8z7rgPFUaz2axlckJdwoIDUZbnddyxY0c+uPNQCMiXhZCXOYd3jPXzIeYBY3lubq4W+pVP5ODZ6FmI4iHlpz/9aUnSu9/97jXr9YPeb3zjG5La459+Z/7yyVhCXQixeM/OztayHCEjxh3ji7kUwyAw5j1hCO0rB5uFChUq9CqnvkDiN998c/XQQw/VHGlYnUdGRlblX5S6q7ibMUWzRKm9Cq4XRIjtjrvbR7O+mDpL6q7mHIR4WM+oZomZyKX6Sg15cgZW47i18gBfMfQpMoq8t1qtWmZ2zz6/VvhcqX14xCHnWoHE1vpOHWsF73ITTw8m5maMjUajhsC5h/aR6GEtcza2zTzj2cZ9txaTgFCOH2SByD3Hpst/ZmYmo3KQNkicscS4Q+6gup07d2ZeaQNIGwJdoyo4m1qJQ1+QOTxTr+/AhoaGagHP4IMyaIMnC2k0GqucxaTuISQ7oLPlAAWdx+z1UvcwlvkHf7fccosk6eMf/7je+973SpI+8YlPSJLe8573rCqDcc+zHDDGHaAHsKP/3/a2t0nq7gg50I65Rul7ZIN8GTP0L3KOYT6QiQdWQx1ZkHihQoUKvcqpLw42V1ZWNDs7m1GXp7eanZ3NqyfIC50tqA4CfXJ9ZGQkr5SsyB72Ev2XhyZdXFzMKB3kgY6MMkGs0VWeOlhlY0ZyqXuAiI4ePljtQZlzc3MZxeNuzgEMqzorOAe9Mbi9H2y5u7sHFYrhCLhG++kTEArXQXfsUCLqQZ6e3NlTiblTxokTJ7LOH1QLenU05cmBpfpBMjp5ZMa44j7kFMcgOt6YEFfqIlIPWhYPjzkwRp/LYZ0f8HnyhMXFxdyPODOBFhmTIHBkCPrbtWtXlpnrpykThOgJs+n3aEYKb/Szh8LwtHlxF+G7e/TYELsJ0PX27duzrDj89iQs7kSGXEDq8V5Q8lNPPSVJ2XyRHTAyYw4fPXo07yIwceQcgevf+ta3JHXHIX25tLRUS6DhaSaZu75DiSatftYwNTWlN7/5zTofOicSTyn9SUppMqX0bLi2M6X05ymln3Y+xzvXU0rpYymln6WUnkkp3XJeXBQqVKhQoZdF59SJp5R+TdKspM9UVXVj59qHJJ2oqur3U0rvlzReVdXvpZTulvS7ku6WdLukj1ZVdfu5mLjhhhuqL37xi3mF8hUz6jv5n5Wbe6KOKpYxOjqaV0LQOejCU2GBwkAICwsLNV0s5XpiYp5lh3Dq1Kmagwy8u2kXZXtQ/e3bt2dkT1k4xHjSZawEItr2xK2U6448HihpZmYm706QUTT3lOqBwEAo8Lm4uFjbLfAbZXsArBgWwE/rkTsokrJoL6gqpZTHBDLxIEO0ydt40UUX1QI/wRP6bQ+uhCxjGjN2en4GAu8eCIy2HD9+PP9PvVgpOLn++fHHH89j76GHHpLU3eHQJnZLzjN8NJvN/BsyoQ30h4chiOSWY5gh0ibGIaaf8B4DRD3yyCOSuvMLN3j4QkdPWz/zmc/one98p6Quimf+PvbYY5K6IQPYcWCtxm6u0Whk3tFF866gDE/GwveUUn6/sPNENj53PTTvsWPH8j08y84Ts9dfik68qqpHJJ2wy2+VdG/n/3sl/YNw/TNVm74naUdKac+56ihUqFChQi+PXq5O/FeqqjosSVVVHU4pYUZxqaQXwn0vdq4d1lloeXlZp06dyvpHEEtMxBB1f1IXkbIygsRYBSPqZcVFBwry5ZP6HJksLCzk1Rs9I/eACDzMa0R18AzyhydWeVCmp5xiVR4fH89I312GKQMEzO8xoTL/e3JhyEMGoKNvNBq5vSAFd0pwRyK3dGm1Wrk8ZORJOXiGT36//PLLsx7XQ9+CiOmHiGLhj7EA8nZUDcV0cPDu7tYxGJlUT/AAcV+z2cyyYbz52QhjF/nHcx14Bc1//etfX1U/4wsdLe7pKaW8s6A+5M8zIHJPBh0tqzz5BP0L8mcH6M/Ozs5m2UDwA9F+LDxiOjnkjf09fcXc5d0A78ydAwcOZGcyT6YOIWfXMX/hC1+Q1Ea/IHD4QNdOP998882SuhZOMdiVj/0YfE/qvjvQ49PfzWYzyxFZcH5zIfTLtk5ZC/qvqa9JKf2LlNKTKaUn/XCyUKFChQqdH52XnXhKaa+krwWd+AFJd3ZQ+B5J36mq6tqU0h93/v+833e28q+77rrqU5/6VEYM7iY+Pj6eVzVQHCuznwSDQvh969atNW8wTzCBZYmjjZGRkaxfAz15EgY/refZmZmZ/D/WJqzUrPZYLbg+nzaePHmylkqL/qJe9K14oWGhMDY2VpOj258jI/SLMUkteksPuATydwsP7o/hDijPg/WDnpG/J8MYGBhYFdAq1k8fuT9ADDKFvEF+oCfKcvt9+Dlz5kyul3EFuvQdiAcri74G8Br1pvFZ5M3v7CIajUYeM/TRj3/8Y0ldub/+9a9XJOr/wQ9+kN3IL5Q+9rGPSWq7lNOfPieQGePBw9lu2bIlj1vGZEwIHAm9L/2zf//+PDaQHXpyZORnU+ihDxw4kHmkfnbJzFF2IOcKwCZJDz/8sKTumHTvccYK/B49ejTPL9f905e0k50Rz27ZsqVmMUV7SSn4StqJPyjpXZ3/3yXpgXD9nR0rlTskzZzrBV6oUKFChV4+nVMnnlL6vKQ7JU2klF6U9B8l/b6kL6WU3i3peUn/uHP7Q2pbpvxM0kuS/un5MFFVlVqtVkZToBDQQKvVykjYEYEjY1ZQ4nIcPXo0/+an0qArVmrsSaM9twd8gieIlTp67EntFRUeCbgEevQEA6zUrpMfHR3N5UHU48gQO95oc4xOmGeI78IzWC+giwZVnThxInvOgdbdDt499+Ad1HX8+PHcDpAK1iKeZBoEg4xnZ2czSoZHbK/dCob+QWd58ODBXO6zz7atYpEv/eGJDaI+GwLdub009SFTTxISdeJ8+m7Gz1NAiNPT09kT0QnvS7eK+WUE12KHevDgwVo4ZvrOdwhr7QyRI/cwnrgX+TJWY3A5+tUJT06PDQQNDQ2tG5SNvqGviLfDdWS4b9++rIv3ZC/IlzZFCy6pvauiT9gd4EPAOEMu8IFMR0ZG8nvN4zhdCJ3zJV5V1W+v81PNEr1q9+i/vGAuChUqVKjQy6K+iJ2yb9++6t57782rult6VFWVVzH0XqBHdHjokljJYiom90jjN4/hwWobk7VSH8iE1d71nqzMrKzRUxRePZUZSDlG75O6aHNycrJ28s1qD6pG3+txYS655JJa+1y/Tj3wAdrZtWtXRhycqEOOxF2/TVump6fz/yARZEk90UOTZ6Q2UuJet7AAKVKGn3f8/Oc/z/IGcWEd4NZC7DKivbbHuXE/ALcwoY+jVZLbNMMbtr+MJXTHoL+qqrKnJuPKk3nTNo/4eebMmTz2mRO0H/2+x2FZi5BJtKGO9bgHMwhyfn6+FqPH9b3w49Y5jUYjW2UQgpbxzk5sPfrJT36Sx6+jZsYKFk2+i0Xue/bsqfmo8KyHeIYffDpivbSHsRKTu0j1hBYjIyP5HtA7c4aoieejE++Ll/jNN99cffWrX80vJA4+EPbg4GDN3Z4XMR3BIaELMN7rzicMNnfTjlnquZeDFjrXnVx4lt8HBgbyCze6dUvdznTnI16u8aVPPW6+xcDgk/qZdCsrK7k8Bp4fIPpBFJ9bt25dlZE71s89nv3cDyB37NhRU0XwrKu+ULOwvX7ppZfyxEf+vCxQn/FCpp9jvHMPAeuOWIwDXhyxfzygFvXRZ/zOZIuHkpTBy8IPv90RzcNLbNu2LbeHceQhC2gbi3hUt7GgUT4vMzcX9CxB8fDOx2g0WY1t8eBZJ0+erGWqZ8xQD+MA81HKvuKKK2pxvKPzVJQDFJ3tfP7QfsYin9GpSerO+7m5uSxvymBuwCuyZJ7FDEjwSL92PQu4AAASrUlEQVRTLu2mbN4VtPXMmTO5P3kWXgkzUAJgFSpUqNCrnPoiAFar1VoVEJ/tVnTLBk1gcsW2k9WO7xAr+vT0dC2cLMQKCXlW+Gazmf8HrcTtq7Qa+UrdlXRsbCzvLFjFQbcgMNCUb6U46Dp06FAt0BaI092fuY7qYGZmpoa0QCIc+mKO6Lk4Dx8+XEuG4Cae8OqhNFEhLC0tZeQBWmcLyg4FVOOhgYeGhjLCc7UN6A6ZIrtoPsg9HgyNMeEqEGhsbKzmXBTd+SXVHGrY5cTQrLQPlMwnCIx+d7O15eXlHOAKmXjYYsqgz+inycnJ2m4V2TEmY25HqR6Q7dSpU7kfPaMTu8OYfENaHSKWfuYegklhMODZcuifRx55JPe9jyfId298v+iii2qHsBB9R5AyzwYW1Sy0Ix46Rh6pj/sYu1dccUUul352k17kz33ItNFo1MJG+I7jfKgg8UKFChXaxNQXSHxgYEDDw8M1kyzQT3TPZVVzxyAQFEgQlD0/P18LPQt5mNV4OAUfrOKgGnfq4TuIiLLGxsYyigKlgYA8eDyf8BwznvMbAb98t+K5L6OrM7zFA8N4nfaCMmjDli1bcvmue/VUb8gBVBOdfTgUpf/4zXck9HfUh8IzOwHQE+ZplOnIMQZLo13w7Kac/n1ubi7zxLkMv9GXIEZ45Tq61KuuuqqWYADZeWKDiMik9rhwc1TvK4I5gfaQx/z8/Lp6Y84c1nM+iuai7ALZpYHAGbvIhe8x/ADt9cNhDis5g0BWINO3vOUteTyRq9STU3jANebozMxMnt/MM+RKPzBGme9uanrkyJEsG8pl18g48xAWlHXq1Kn8jmDucS/z2Y0v6KdGo5HHBPeyi7sQKki8UKFChTYx9YV1CqFoQdGs/qDARqORUYWjDVZ1D0TllhdSF5FGt/b4DCsoZUW9HP+vlZFeqqcY27lzZ3ZQcSuJuLOQuigrOn1QpjsIgUz49AS20eIB3rgGIgJlgdBAEKCsgwcP1k7LQcLu7BEtiCI/Uleu9CNoC/2+J4eIqe1crqAd14EjW3SXU1NTua98R+e7OFAQ6G56ejqPjei8E8tw93B3etmzZ09uF+OJoFqgeJAvz3BGcezYsZoJnyfVBrHRV/RltF6iPcjGz0QIEUsScNq0e/fumvWFW5zQbsYMY2t2djbz7lntaSd9hGyR/+DgYC4H2VC/6/F9J7hly5YsE8Ym9/Is7xMQu59zLC4u5nHl97glmwfiivd4KIyot5fqgeiqqqoFuKPPCMFbrFMKFSpU6FVOfYHEr7766uojH/lItjBhlUeXdOTIkbxqsiJihQGaRr/GqhitGED4oFmQIas+ZYAkeLbVatVcel1H6qfZrKiHDx+uIXzQpDsbsPpTByv2/v37M1pBV+aJi92hJoYIdccQVnn48AQP3D82NpbRjZ8XeBopDw0a6/cTfZcHfUkbPBBYLJcyXAftKbBOnjxZc1Dx9HfuDo4OdWBgoOaY4e2nvbSNMjzhg6RawmTI2x13Al6Ph7XlWQ8uNjg4WLPwYE64fh2kDHJFLhdffHFN188ugbHqSDQ60HnKOHYRyIr57eGcr7nmmnwWENO9xfroI8pCDnNzczn4G+XRPuTL2OC6n0k1m8085yD09/DKHI2B9eCH35gz1Ms7irKQIXKfnJys2e4jQ8JeFCReqFChQq9y6gskTiha0JZ7w50+fbp2Wo0+F0SATTYrJPcvLi5m5A2aARmx6rO6evq0oaGhXB6Iy61Q0CGyyvI9Jn8FgdIeX309aQF1zs3NZfTENdcnsgNw9/NDhw7VEmm41xkIEJQDkti7d2+WK7sGt3lGvrSNemNgKlAciNA9N2k33xmLu3btytYxUccudfvbLT2i7bOnH3OrHA8rzLOXXXZZbi99xD2MIRAjbUOWoO6pqams+0X3j7evW6nAT7Qxd32uW/T4GUl8FuTLs9SD/JEdz4Lco9WKhxPgGaxiSD7sqf9GR0ezjHgWPbPruQlER11btmzJYxCZMTY8wBf9wjgbGBjIcqUvKAti/GM/z/xn17OwsFDz9IZX/+5yj/bx3OuWc3z6mdTIyEiWDbJgHJGouSDxQoUKFXqVU18g8euvv7767Gc/m9EmyBiKSQJiIt74HbRFMlhQ7vj4eEZm6Hw91oJ7YbHqLi4u1mJFOKoGzbi+d2hoqGbj6kkhondlLJO2jI6O1pAoSBxLlogIpC7KmJubq8VwcHtx2gZSiWcBbvVCbBo/m3CPVWh5eTk/iw6eMvmkr0Cu9Nnp06czb3hEepow1zMjy5GRkRy8yeO9OGoH9cRAVevp3EGIjBXGn9uN79q1K48vxhO/wQ/I3C2djhw5UovZ4rpZfkc+8Dk8PJyfiem/XK7cK3X7EiQ5NjZWsxxCVu6P4bp5qbuTonw8NuEReXDmFdMiejJv0DxzgvbS/4y3PXv25PeFB1qLgaak7vx3PqemprLsfI76eycGmJPa4wIEzpz0JOaefjH6mFC+Jxu5kABYBYkXKlSo0CamvkDiV199dfXhD384IzJPCjwwMFBLhOwJFfzkPXpvsXp7+Fjudc9B7o9hRSHqQ/9H5D2/r9FoZCSEjN2ChDY5Uo6xPTwSnn+6VxoUo/nRXvS4EG3Anh2an5/PiADEEaO2SarZU7tO8+KLL85oGbl7AgnIbe5HR0drUSLdCogyQXcxkYjb4YPUGF/sKugX7q+qalXfx3b7LhG9LveD/uMzjAkvwz10kWX0fvQzICw7PMpf9Lp1vwDfYXq8HY/xMTAwsMpSR1qtt46ycn3v6dOnczs5r/JQu9zricmXlpZyOz3xOeRIPSZecOsrt9uG4AP5xCTb8MQ1yieaIJ6xjOkYqjh6WMfy+fTk3sy7559/vhatk/lGisHzQeJ94XbfbDY1MTFRy1fIZBsZGVl1CCFJ1157raTuYGNL7A4eAwMDtSznvCDcXIxBHw8vuYfDCOr3XIxsEZmQKysrtSwkHs/bM6qvNeg8FjP8oILBfIoyoxkT9xBHmu8sFmwveZlEtQYqEAYr9fKSZrCRudwzrC8tLdVULm6uR9uQE4vMkSNHcr3U55PcnSPon2azmcth8njWFG8T/ExPT6+bKYfDQe7FLdtf0AsLC7k+L9/VF8gwBq7iheoOKmSe4QUAMVcGBgZqaiPK5dMPzlkgyRY/MjKSVT2UhcqJ8e5hDhizW7duzX1PX6BeoCz6m98ZY4uLi7VMSSyK7shDWRwSxkxbtM9DDvtY8TytMzMztWBgvAsYM8gdtV08ePesV6ivqJ/vMfQt/KwXpO1CqKhTChUqVGgTU1+oUzzbvaPNvXv35u0NyNcPHjyze8zOzioHWmcrzHfqcRPD6EDBARs5/zycJ4gsbpXdfd9VPR6gybfwS0tLNbdnZOThbT1ryuDgYP4NPiB3TnBUtX379syDozk3j/SQqTFjfUx2IHUREigLVEMbQWg33HBDlhmf5Mt0F252IGsl8vDsN64+cyegRqORdzYgMQ/9ivzd9DMiVPqA3yDa72oNtuqXX355Lpd74AM1DmOE8RfDSoBO+c3DF7Mz8Z0KdRw9ejTfCwKnDM+GhcyQ/xVXXJHnCv3rOy6QqDt/TU1NZVmwk3WnGsh3t1VV1RzhPBha3B3Hz7gjZqzgOOQOOtTLzgfU32q1ajlEkaHvnqLBBPzxDkLeqGfvuece2lcONgsVKlTo1Ux9oRNfWVnR7OxsLTAVND09nVcxVjsQgR+GsnLGzPFuUsRq57pCECplzM/PZ103YVVZZVntPcwmK7Wkmus66AUU7XpWT45w+vTpmumeHyCul95pYGAg/+a6aHc6cceexcXFXC/1wft6eUE9jdrMzExGXsgBGYJcIJ6JDks//OEPJdXzNILe6CP6PaYL4wwAnhhPnovRHTouueSSLCueoZ18Rx7sfDx/45kzZ2qOIcjdD7g8beALL7yQ72WXgnMRfHiwNJD42NhYRqKY5UG0l/nl50eM5ZtuuimjaHZFEXHG+j242eHDh3O9Pge97/xgsdFoZJl5+kPk7jlO6bOFhYXaeKKP6H93lPOzt9nZ2TyOcWaCV+aip6ljrkirD6SjjPxcB3nEw2HPDew7j/OhgsQLFSpUaBNTX+jEb7311uqJJ56oBat3SxOpnrbJ7/HvVVWtslSRVutAI3nQ/HiPh0b1+tyRZXl5edVuIJbl93oZXld81oM48d3l0Ww2a/L09p6tXp4FETnvkD8bab1615P/WvWvV/56sjtbPWvxGPmM9To5P2ery/tkvbZ4UpCVlZVa+jMvy8uM7V9Pnl6PO5+5jj7Wu97cWUs3vd4cpFzq9TY2m81aO73PXO5Rv+3vBL8HOpv8z1WPW7TFuem7xfXmsc+HaDW3loly55miEy9UqFChVzP1BRJPKR2TdEbSVK95WYMm1H98FZ7On/qRr37kSepPvvqRJ2lj+HpNVVUXn+umvniJS1JK6cmqqm7tNR9O/chX4en8qR/56keepP7kqx95kvqLr6JOKVSoUKFNTOUlXqhQoUKbmPrpJf7JXjOwDvUjX4Wn86d+5KsfeZL6k69+5EnqI776RideqFChQoUunPoJiRcqVKhQoQukvniJp5R+M6V0IKX0s5TS+3vEw+UppW+nlH6UUvqrlNL7Otd3ppT+PKX0087neA94a6SUnkopfa3z/bUppcc7PH0xpTR0rjJeAZ52pJTuSyn9uCOzN/RaVimlf93pu2dTSp9PKW3phaxSSn+SUppMKT0brq0pm9Smj3XG/jMppVs2mK//3OnDZ1JKX0kp7Qi/faDD14GU0m9sFE/ht3+bUqpSShOd7z2VVef673bk8VcppQ+F66+4rNalqqp6+iepIemgpCslDUl6WtL1PeBjj6RbOv+PSfqJpOslfUjS+zvX3y/pD3rA27+R9D8kfa3z/UuS3tH5/48kvacHPN0r6Z93/h+StKOXspJ0qaSfS7ooyOif9EJWkn5N0i2Sng3X1pSNpLsl/U9JSdIdkh7fYL7+vqRm5/8/CHxd35mLw5Je25mjjY3gqXP9ckkPS/qFpIk+kdXflfRNScOd77s3Ulbr8rpRFZ1FWG+Q9HD4/gFJH+gDvh6Q9PckHZC0p3Ntj6QDG8zHZZK+JenXJX2tM4CnwsRbJb8N4mlb54WZ7HrPZNV5ib8gaafagd2+Juk3eiUrSXvtBbCmbCT9saTfXuu+jeDLfvuHkj7X+X/VPOy8UN+wUTxJuk/S6yQdCi/xnspKbUDwljXu2zBZrfXXD+oUJh/0YudazyiltFfSr0p6XNKvVFV1WJI6n7s3mJ0/lPTvJREIYpek6aqqCLzQC3ldKemYpP/WUfN8KqU0oh7Kqqqqv5b0XyQ9L+mwpBlJ+9V7WUHryaafxv8/UxvpSj3kK6V0j6S/rqrqafup17K6RtKbOuq5/51Sen0/8NUPL/G1Arz0zGQmpTQq6c8k/auqqk71io8OL78labKqqv3x8hq3brS8mmpvNT9RVdWvqh0yoSdnGVBHx/xWtbezf0PSiKS71ri138yx+qE/lVL6oKQlSZ/j0hq3veJ8pZS2SvqgpP+w1s9rXNtIWTUljautyvl3kr6U2lG0espXP7zEX1Rb/wVdJun/9IKRlNKg2i/wz1VV9eXO5aMppT2d3/dImtxAlv62pHtSSockfUFtlcofStqRUiJ0Wy/k9aKkF6uqerzz/T61X+q9lNVbJP28qqpjVVW1JH1Z0hvVe1lB68mm5+M/pfQuSb8l6Xeqjj6gh3z9TbUX4qc74/4ySX+RUrqkhzxBL0r6ctWmJ9TeHU/0mq9+eIl/X9LVHSuCIUnvkPTgRjPRWVE/LelHVVV9OPz0oKR3df5/l9q68g2hqqo+UFXVZVVV7VVbLv+rqqrfkfRtSf+oFzx1+Doi6YWU0rWdS2+W9EP1UFZqq1HuSClt7fQlPPVUVoHWk82Dkt7Zsby4Q9IMapeNoJTSb0r6PUn3VFUVsys8KOkdKaXhlNJrJV0t6YlXmp+qqv6yqqrdVVXt7Yz7F9U2ODiiHstK0v1qAymllK5R+0B/Sj2SVaaNUr6f4wDhbrWtQQ5K+mCPePg7am+BnpH0g87f3WrroL8l6aedz5094u9Oda1TruwMkp9J+lN1Tss3mJ+/JenJjrzuV3ub2VNZSfpPkn4s6VlJ/11ta4ENl5Wkz6utl2+p/RJ693qyUXsr/l87Y/8vJd26wXz9TG19LmP+j8L9H+zwdUDSXRvFk/1+SN2DzV7LakjSZzvj6y8k/fpGymq9v+KxWahQoUKbmPpBnVKoUKFChV4mlZd4oUKFCm1iKi/xQoUKFdrEVF7ihQoVKrSJqbzECxUqVGgTU3mJFypUqNAmpvISL1SoUKFNTOUlXqhQoUKbmP4vWOEoIC/dJmgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.0149094813414976\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.0364480362885704\n"
]
},
{
"data": {
"image/png": 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7HLNhwwYOHDggUbxEIoHD4ZAV4OTJkzgcDvGTjx07lmAwKBq3sLCQY8eOmaLCfr9f8kui0SiapgntUPesfN1er9fkbcrIyKCxsVE46bFjx2hraxNN1tPTIxy+pqaGoqIi0YJNTU0kEgn5bLVaicViQhNGjRplGqdt27ZRUVEh+TLPPvss586dE009YsQIenp6ZDUqLy/n8ccf58MPPwSMqLE6DpAxUVQqLy+PwsJCWRFaW1s5dOgQYER7k5973LhxlJeXy6qdmZlJIpGQlU7RJrVajBgxgqqqKrm3wcSShoTAp6WlyYtpbW3F7/eL0KlkK7X0ulwuyZkHmDp1KoFAgLNnzwLGkrpz504Jee/du1eWdpvNhsvlEkNL5aera6l8bnXuuro64vG40Ibjx4/zzTffiEEGxmAro7OzsxO/3y/0S6UdqN8rQ1tNZrvdTmNjo9yPyns/fPgwANOnT6enp4fKykrAoETq3L/5zW9M/ufW1lbGjh3L3Llz5W9nzpwx0ZoHHnhA3Lpz585F13UR8BMnTjBy5EgRsvr6euLxuNhWwWCQ7OxsyYfJysqiurpa6Fxrayvt7e2iTBStU0Ls8XiEOnZ2dpKVlSW5My6XC5fLJfeSlpZGZ2en/NbtdhMIBOS9nD17lpKSkkHl0CgMCYEHJPhisViwWq3Cd6PRKOFwWLS0ruvE43EZjDVr1hAKhWSF8Pv95ObmyoDn5+fLQHZ2dlJQUCACB4YvPnkCqP/Ud+FwWLRUdXU1xcXFwrljsRhdXV3ih1dINgQTiYRpQqnzgpHH7XA4hM9WVFSQmZkpwRuVS15SUiLnVue6cOEC7e3tEkOwWq0cOHBAvC+RSISJEydKduSaNWvYunWraOSpU6dy8uRJ0ci7du1i5syZMjZff/01jz32mDxLKBSis7NTrv/mm2+SnZ0tRnQikaC+vl40fXd3N21tbWJEJ2eZKqeAeocNDQ2MGDHCFB3v6uqSVVopPfX97bffjqZpIiMqNjAQpDh8CrcUhoSGDwaDwtOUTz55KUxO8VXaXS2dL730kmRQgqFFkynRPffcI9G/YDDIyZMnhXMna19AqFPy37xer9Ajl8tFfn6+3EswGKSjo0O0oOLISqupfBNFZZQmf+SRRwA4evSoqXxRXVtpQKfTybFjx6Saq6CgQFIDotEo06dPFw/Q7NmzycnJEY3b2tpKW1ubrCqffPIJVqtVVicwcoWUa3Dv3r20tLRI2kUwGCQQCIgWDYVCbN68mV//+tcA7N69m4aGBvHrK4+U4uZZWVm0t7fLapmXlyer7oEDB/D5fMLJz507x9SpU+UdOp1Okws2MzOTnp4ekxenpqZG7JmXXnqJgWJICLzdbpdQsQqXq9TQtLQ0AoGA5MpkZmaSkZEhBtDhw4eprKwUPheLxQiHw8I9lX8YDA5/7733yrKrOLwSCrvdbqqXBWOCKVdgKBQiMzPTZOTabDYRitzcXJqbm+X8gUCArKwsuRe1JCuKpaDSgt1uN3l5efK9w+GgtrbWRIUU3dm7d68pIPe3v/2NJ598UiaL3W4nFAoJhVFQ+e6nTp1i0qRJwvErKyux2+2mPPl9+/bJ5KyqqmL48OFiT5w8eZJJkyaJLzwej9Pd3S2T3+fzkUgkTCkfyq3o9XpNef6//vWv2b17t8kVre4TDEVTXV0tOU2PP/44n332mZx706ZNksp9NaQoTQq3FIaEhk9OLRg3bhy6roshcurUKSKRiMxm5bJSWvTkyZMmz0pGRgajR48WTZOfn29KGGtra5Nz2Ww22traxGB2u91kZmaKsZSRkUEkEpFza5pGY2OjaNnMzEzKy8tN6QSRSETcZVlZWVgsFtFsyZpfnS+5i0FPTw+apkkUedKkSXi9XtHawWCQiRMnAlBcXExnZ6ekJt911110dnbKuNXX15soEBiVRIomgEFzVPIYXFrxwDAs8/PzhUacOnUKp9Mp9GrhwoUsXLhQIqutra14vV5xyV64cIFwOCzUtLW1VTS6z+cjFArJqg1GkmByQXhNTY1QS4fDQU9Pj6x8H3zwAdXV1RJNX7ZsGQPFkMiHv/3223Xl7nK73YTDYeG1Ho+HoqIiWUqnTJlCenq6ZFc2Njaa/Mu6rpObm2vKplMC53a7SU9Pl5YVnZ2d2O12EeAjR47wyiuvSHpwcs0oGMIcDAaFM3o8HkkBBkxpvdC3PNFqtZJIJMStWV1dLc+n7t1qtYqQDcTtpibLhQsX6OrqEg7u9XoJBoNi66jJlxwz8Pl8wun9fj/Z2dkSKVUeKCV0aqKrVIG2tjYqKytFsagItvq8detWOjo6JJtS1QXDpcjofffdZ3oWVYd8/vx5fve738nk3bVrlykte9u2bSxevFg8UBaLheeee+7G5sNrmjYKWA0UAgngHV3X/13TtBzgA2AMUA38Ttf1jsudR0Hx5mAwSHd3t/DmESNGiJYAg2vOnDlTBFwVcCvtkEgkZBUAQyiVFgRDiyoBtdvtnDlzRl76yJEj+fDDD+Ve5s+fz7p160Tju93uPkKYSCTkXkKhkMkmiMfjphLAUCjEjh07JByvJve6desAeO6558jLy5MJceDAAXp6ekTj+/1+nnjiCTm3miBg+NwzMzPFoN68eTNnzpwR+6WhocFUoD5ixAjOnz8v966KTVTujcrrUbbUiBEjJB0BDAO6qqpKBLyjowNN0+S9dXR0yGQEY3KriTx69GgsFos8p8pXUudSXF49m0pUUzlRY8aM4fnnnxeer4zXgeB6OHwM+N90XZ8M3Au8pWnaFOAPwHZd1ycA2y9+TiGFIYFr1vC6rjcADRf/36dpWjlGx7GngIcuHvYesBP4p6udT7msVJad0g7KMlcaW4Xl1fL24osvAkgEMD09nVGjRgnfa2lpEU1RUlJCPB43eYR8Pp8UAWuaRnFxsQSxwNA+KjrpdDrFZQYGz03WwA6Hg8zMTFMDoaysLAlcKQ2pVoDs7GwaGxt59NFH5XwHDhwQjbdv3z4sFotoxlgsJl6RyZMnM378eInKNjU1MWXKFBmX06dPE41GmTNnjoxDbW2tUMGGhgbq6+vFnhg7dqwk7oFBK1Q0VT17WlqaiSrm5+fz5z//GTA4/caNG3n66acBI3JbU1MjKQgZGRmmRkvxeNzU4KqhoUFsq3A4zCeffCLR9a+++orTp0/38W6pwp6b7pbUNG0MMBPYDxRcnAzout6gadqwK/wUuBSlA6SlmuJ8OTk5pKWlyfeKXijfOBj9TdTSHYlEiMfjMjjJKbQVFRVkZWWJEZiZmcnMmTPF9Xbo0CEmT54sQtPY2Mjhw4dNvWfWrFkjvuZ//Md/pKioqE+kNZnLd3V1yeTdsmWLtPoAYwLcc889wlUPHz5MdnY2e/fuBWDOnDnU19dL9LOoqKhPrakSWIvFgsPhMD13fX292AenTp3CYrGI4ti3bx+//e1vpRb47Nmz+Hw+UTA5OTn09PSIMrj33ntNPFzdg8rFaWpqYt++ffJdR0cHgUBAxiLZLrPb7aZ0kXg8Tl1dnRj1Y8aMobu7W54xKyuLGTNm8OWXXwJGHGPNmjUi6EuXLu23w0J/uG6B1zQtHdgA/M+6rncrX/MAfiet9lReORiG5JQpU0y1k21tbeJndTgcVFdXi4GjNKAaPJ/PJx4DMHtpVEmfMmJ7enrkJajfJvPB/Px8YrGYeAEWLlxIOByWF7N3716am5tFyHqvRqoQWX0/Z84cmpub5Zpq4iWH7wsKCiSY9Mknn+D3++VZ0tPThd8WFxfzySefyLPY7XYRejA8Msm9J1VbPXVtFehTY+N0OsnNzZXfnz9/Hl3X5XoOh8PkjQJjkqii8b1795Kfny/H/PnPf2bGjBnST3L27NmmvPXu7m7JQVJ9hJR3a8SIEYwfP14Ug8ViobCw0PQ8TqdTWooobj8QXJcfXtM0O4awv6/r+kcX/9ykaVrRxe+LgOb+fpvcaq+3dyOFFG4UrsdLowErgXJd1/+Y9NVm4BXg3y7++/HVzhWPx0XbzZ4928Qdhw8fTkNDg6Toejwe0tPTZfa7XC66u7tNnWTHjRsnHgBFS8DglYcOHRIXZyKRwGKxcOLECcDQksePHxctdbFJpzQ3ra6uJpFIiKtPUTHlRRo3bhw+n09oRiKRIDs7W57F4XAwcuRIeVZVbKE4f3V1tUSW4VKZnfJ82O12WfnU+ZSG13Udn88nq8moUaOkszIYq1lhYaF4qCwWC4FAQPzqarVTx6vil+RyyN5t81RxOyCJYiprdebMmRQVFclqtXXrVok0b9q0CbfbLbaNzWYjEAiILZSRkUFNTQ2zZ88GjGKXF154QTj+ihUrCIfDpvjKQHE9lOY+4CXghKZpqr3Uf8MQ9PWapv0eqAGevdqJ7Ha7+GTdbjdHjx4V/qYE7IUXXriOW702vP3225LLA4ZgejweoTRKABQHb21tpaWlRWhAUVERBw8eFKqjJoTi4adPn5ZzgUFZNE0T+qZC/UoIMzIy5Phz587hdrtNL72rq0smn4otqGt1d3cTjUYlDXvWrFk0NzcLtTly5Ag2m00Uh3I7Kp7c3Nzcx/2X3DbEYrHgcrlksqalpbFy5Uq5fnLZ5meffUZlZaW4i/fs2cNdd90lQSur1crMmTNFMcyfPx+32y0uUdURITnnaaAYEoGnO+64Q1dBhL1797Jw4UI+/fRTwNBUx44dG5Ql/kPi9OnTUggdDAYpLi6WFSYrK4vGxkbxnIBhcCuhdblc0iNefU5udqRyfQDpW5+c92OxWISjJ/eSV8er1Gv1ORaLyQRxOp3Y7XaZxMktMdTxyfW9kUjElCinoFaz3u3MY7GYTCa1iqogl81mo729XTxAamKpFaCjo4PvvvtO7iUnJwe/39+7NceAAk+pXJoUbikMCQ0/adIkPdkCB6QD7/Dhwzl69Cgvv/zyD3Fr14Q9e/YARuFzR0eHyR1XXV3N448//kPengmq2F1VHKkVQGn85OasySuMamGY7EkBTDQjuSlV751Qeq9OiURC6I/NZsNqtcpn5ZpWny0WC5qmmYqCbDbbj6fVXm9hB/PAJQ/MjwGqzK6qqoq8vDwJ9iRTiqGC3v0dfwwoLS3lnXfe4T/+4z+AvjlMV8KQEPjeSA4kweD6jgwlKG/RbbfdBhgFH6ndTq4f1zNJUxw+hVsKQ0LDT506lY8+MuJWiqepf+vr602N839saGlpkVSFuXPn9klDSOHmYkgIfDgcFh6vWtUpl9T8+fOBSz0ie2/BMtQxdepUUx1pb3ddCjcXQ0Lgo9GotIiORCKmnPN3332XSCQivumysjKcTqcYteFwmGAwKLxuxYoVss8nmNtwqMBFsk3QexuWG4HerbxT+OGQ4vAp3FIYEhoeLtV7qihbcicBuFTuphqeJncBttlskhsNmDIgo9Go2AOqy4DS/lfz/rz99ttStQRGtNHpdMpnlYujoM6XvIM0mJt91tTU8PXXXwNGSq3NZut3e8gUbgyGROBJ07QbehMquGKz2foIefJu06qIJLk0LTnH3G63m9phJxIJNE2TfPWMjAwcDodMqGg0SjweN3UjvvfeeyVEX1ZWht/vv6xdUlpaairjs9lspsBP8mTr3dVMPZtCJBKR+1VI7onz5ptv9tl3qb99mIYwBhR4uiUE/ofG0qVLAWMVU0Y4GBPsSjbEkiVLTCtK7z2e4FKvG9X5Qa18amL3Flg1qdVqpRLdrrbKlJaW9tnuU0U8AVMSmfo3WTlomiYTMBwOk0gk5B7VscndIZLPZbPZpEPBFZDKpUkhhd5IafibAJX5mZ+fLzneYFQVJfdmGWpYtmyZSWOrNiOAKa8FMHVrSIbS8P2lVKjvFK1SXjS1BefVoKjqRVr648ml+alDtcFOT08nGo3KtjIul4toNNqnOHmoYKgZ08n7dal0Z+jbuvBKSGn4mwDVzFXloKvIq9/vx+12y/eqwj+Fa0KKw6eQQm+kKM1NgKo7nThxosnTobwug2non8L14fto02EFvgEu6Lr+K03TxgLrgBzgMPCSruuRK53jpw5V4nfu3Dn27t0rhdTd3d3s27dP2t+lcOPxfVCa/wqUJ33+H8D/fbHVXgfw++/hGj9qvPrqq7z66qtMmzZNakErVcJ9AAAgAElEQVSj0SidnZ2cPXsWr9c7qCKGFK4d19uXZiTwS2DFxc8a8AjwnxcPeQ8YWKf6FFK4CbheSvP/AP87oNRTLtCp67qK39dh9JtMAaN/4/HjxyW3pru7m9mzZ5tyf1K4sbieRky/App1XT+kadpD6s/9HNqvyzG51d6tBE3TpN+KzWYztcdO4cbjehsxzdM07UnABWRgaPwsTdNsF7X8SKC+vx/ruv4O8A789P3wKQwdXDOH13X9/9B1faSu62OA54EvdV1/EdgB/P3FwwbUau9WgsPhIB6PE4/HmT59Op2dnaa9WlO4sbgRgad/Av5XTdMqMDj9yhtwjR8tLBYLixYtYtGiRbIDiMViwWKxyLbuKdw4pFILbjLKy8vZtm0bgGy+ptrV5eTkSN5NCoNGKrUghRR6IyXwNxmxWIzFixezePFiWltbyc3Npb29nfb29mtq/5zC4JDKpbnJSG4hGAwGsdvtUqWk9q9K4cYhJfA/IFwul6mNdErgbzxSa2gKtxRSAn+TkbyLxuuvv27qLNB707AUvn+kKM1NRnJXtbffftu0U4faESOFG4eUhr/JSE4Ue/PNN0lLS8PlcuFyuWSrnBRuHFICn8IthRSlucmw2WzSmOmtt97iyJEjshO42mAshRuHlMDfZNjtduHsy5Yto6WlRXzz15ImfC27Ud/KSAn8TYZqbQdG1HXRokWi4ROJBPv37+eee+4Z0Lm++uorpk2bBhibBHd3d8v5H3jggVTZYD9IcfgUbimkNPxNRGlpKWfOnJG2c6qR6pkzZwCjQ5lqN3c1fPLJJ4wdO1bo0N13383hw4clH+fo0aOEQqE+DVBvdaQ0/E3E9OnTefLJJ6UAROHpp5/m6aefJh6PXzX4tHr1alavXs2sWbNwu914PB48Hg/BYJBp06aRn59Pfn4+t912m6kF3Zo1a27Yc/2YkNLwNxFut5v33nvvspu0hcNh0/bu/eHBBx8EjOZOnZ2dTJo0Sb6rra1l1KhRAPh8Pvx+P2VlZQDMmzfv+3iEHz1SGj6FWwopDX8TUVtbSyAQMP0tuSNuMBiUTYz7w7Zt28TzEgqFGD58uHzX3NxMLBbj4MGDAAQCAamkAsjMzGTt2rW88MIL38uz/FhxvY2YsjRN+09N005pmlauadrPNE3L0TRtm6ZpZy/+m4qXX8QzzzxjoiBgbMOpUgvUzhg9PT2yjQ5coi9z5swRzh4IBKiurubUqVOcOnVKelT6fD58Ph81NTWkp6eTlpYmgn+rCztcv4b/d2Crrut/r2maA/AA/w3Yruv6v2ma9gfgDxiF3Slg9IhXWLJkiWnfqfz8fBoaGmRPKIXkgNSRI0cA+MUvfkFGRgY7duwALu3/lJmZCUB1dTWzZ8/m1KlTAOzZs4e5c+feuAf7AbFt2zYee+yxAR17zRpe07QM4AEudiXQdT2i63on8BRGiz1ItdpLYYjhejT8OKAF+JOmadOBQxiNVQt0XW8A0HW9QdO0K7sdgFGjRlFbW3sdtzJ0cfjwYe688075rLbnhEu7iqv0gOzsbM6cOSMZlbW1tXR2dopvvaamRjY5Xr16NaNHj+bRRx8FoLKyEk3TKCwsBC5tJ6Mo1E+xBcihQ4cATPTvargegbcBdwKLdF3fr2nav2PQlwEhudXeyJEjr/kmYrEYwWCwTxj9/fffBwxDUA3ID7FtfbKwA+zevVv2lFW7jt9+++2A8eKSmzI1NDQwbtw4oSn79++XQJOmadTW1vKnP/0JgMcffxxN08jKygKMiRWJRKQ3/U9R4PPy8oBLO6wMBNcj8HVAna7r+y9+/k8MgW/SNK3oonYvAvrNiEputTdlypRr7kuTXFCRjBdffBGA+vp6iTb+/ve/N+27eqOggkd1dXWMHz9e/r506VLeeustVq9eDRhCa7PZxDPz2WefkZuby7333gvA9u3bSU9Pl8isy+WS//f5fLz++uuyDWVlZSWhUIgJEyYAxmRK1nwvv/wy9913n3hxfuzJZqtWraKurg5gUP31r6fVXiNQq2na7Rf/9CjwHbAZo8UepFrtpTDEcF2dxzRNm4HRG94BVAH/BWMSrQdGAzXAs7quX7Ec/3o6j9XW1hKNRhk3bpz8bcmSJbz11ltA/9sl3ki0tbVJnapachWdaG9vx+PxSDTVarWSlZUlvDwSifCzn/1MNFZLSwsZGRnybA0NDRw4cACA559/npUrV0pZ4Lx589i4cSMzZ84EjNXAbrfLuSorKwHkWj92F+WePXvk2UaOHMns2bNv/LaVuq4fBfq7yKODPdcHH3wAwHPPPXfVY6PRqCRZJQdXFNQW8b1xLVupf/DBBwO6J4CKigop2UvGww8/DEBVVRWxWEyEr6ioiJaWFqEhI0aM4OzZs9JOe+7cuZw8eVJ4+O7duyVF4OjRo+zfv5+GhgbASCYbM2aMCEF+fj66rottM3r0aPx+P7/85S8H9fxDFc3NzWKQV1dXD/h3QybS+vd///dXP+gi7HY7y5Ytu+z3FotFfNvJWLRoET6fTzwll9tMV6F3tPJy2LdvH4CJrwOcPHmSqVOnSi/JrKwsCgoKmDFjhnwOBAKcPn0aMDYq1jRNvDSdnZ00NzfLBMjIyOCTTz6R/1+wYAFr164FIDc3F7vdzoULFwDwer0UFhaKRp80aRKBQICNGzcCRsLajxm//e1vaW1tBS7toTUQpHJpUrilMGQ0/GC59pV2ifZ4PP1qeGBQVUAD0e4bNmxgzpw5/X43depU3n33XeHLq1atoqmpiVdffVWOKSsrM91TWloa999/PwDHjx/HYrFQUFAAGNmU6rncbjfr16/n5z//OWDw+7q6OvHDV1dXk5eXJ8e3trbi9/v7RHF/zKiqqgIGVwv8k2yXvX79egk1/xCtLxobGwGDeqktKhWWL19OUVERYPjdA4GAvDCbzYbNZpMSv1OnTuFyuZg9e7Ycr1ILEokEGRkZYiBnZmYSiUTEp19aWmraHTAajZKXl8eUKVMA0HX9JyP8VVVVjBs3LtUuO4UUemPIUJrBeGnAiKCCsbT3htPpNBVL32woWqFSBpKhsh3BMDTr6urkc09PD06nk/p6Y1ssq9XKbbfdJkt3R0cHs2bNAuDEiRNMnDhRVpOxY8earnM1b5Q6508Blws+9nvsDbyPQWGggq6gJgjQp9Lf4XD0Wxt69uxZcnNzxUvjdDoHNVgDhfIa9E4rAMMPriKxY8eOZezYseKmdLlchEIhRo8eDRhuzr/97W/ia9d1XSay1WrFZrNJNmRXV5ekIAwEyXGLHzsGEzkfEgI/bty4QWucZMOvd1sLt9vdb22o8ndfDaptdU5OzqDuSWH//v2X/e6tt96SdICWlhYCgYBweo/Hw6lTp+QFBgIB0z10dXWJwI8cOZJdu3bxxBNPAHDw4EF8Ph+bNm0C4KWXXrqmex/KeOeddwB44w1jt1P1ntS+twNBisOncEthSGj4gXhSVOQ0Fovx3XffSfAG4PTp07JCPPHEEzidzn41/Jo1a4hGo1LofLmigWttbdHU1ERDQ4Pp3vqDas+xfPlynE6n8PBJkyZx1113SSDrF7/4BV9++aVEEnNzc8XrM3HiRLZs2SLnrKmpITMzUzj+TwmffPIJd911l+yUsn79eu68806JKg/GXhsSAq/ymq+EK0VEd+3axbPPPiufnU6nGLVg5tSdnZ2SQhsKhXA4HDKZ1PaRyT3cB4OCgoIrRoB7Y8GCBZSVlQmFOXz4MPPmzRMF8MUXX/DII4/wzTffAAalUXk4XV1dnD17VtIOPv/8c6LR6E+q5bZSBC0tLXzxxRfiYp05cybffvstv/mNUVtUWlo64HMOCYEfLHw+nylY88Ybb0g6MBgcXs3+ZcuWifFYVlZmygt3uVysWLFC2tUpf/f14EoBsf7g9/tlAr722mum75qamvjyyy+544475H59Ph9gcPZHHnmEPXv2yPHhcNjU7+bHjOPHj8uqPWfOHPbt22eyZ5ILhgaTH5Xi8CncUvhRavjersTly5ebOLvdbpelfuHCheI1OXnyZJ/qqp6eHtra2r6X+9qxY4dkRg4Uixcvlq5gX331FT/72c/kO5fLxcyZM8VtuWXLFr744gsAWRWUW9Lj8RAKhQbcqm8oo7S0lOzsbIlHgKHlN2/eDBjpF8OGDePEiROA4a5Vq/TVMCQEfubMmXz55ZeAsSwHg0ExUHw+H93d3UJRHA5Hn2BTUVGRZAmqY1SGIVyq7+xNGcAQuI8/NmpU1q9fz+9+97tB3fu5c+ck6DNYYVdQLkQl0IqHHzlyhJkzZ0ovG9XOA4xc++rqapqamgDDv9/R0WHqivBjxVNPPcX27dvF9bxlyxZaWlokNVplmCpaowJ9A8GQyKUZPXq0/i//8i+AoZ3dbrcItdvtJj09XYJFbreb/fv3m4Q3eetHMHKl+2tZ19nZyebNm0ULOp3OK/qrv/zyS2llfTl8/PHHPPXUU4ARWb3e0rnVq1fL6jR27FgKCgokia2pqUmM8ZKSErq6umQCnDlzhuzsbDH0nnnmmeu6jx8SHR0dZGdnc/bsWcBY0Y8ePSp+99///vecOXNGvu/s7OTFF19M5dKkkEJvDAkNfz3ZkmvWrOmjpZNdj3CpQCMUCmGxWEzVUN3d3eLe6t1SYyAIBoNs3boVMFaaZPdobwy24qqsrIyCggJJD+7o6JBsR1Wcrp7l6NGjTJ8+/aoxgKEMZZ8UFBRQUlIiHH3q1KkcPXpUPHOHDx/mueeekzbjJ0+e5Omnnx6Qhr/emtb/BZgP6MAJjJrWImAdkAMcBl7Sdf2KltSMGTN0ZZAEg0FCoZBU6nR2dtLV1SWcfuHChaxYsUJyb/rLb+/p6RHefurUKRH+rVu3kp+fL+m4Tz75JGvXrpVqq945GdXV1UQiESZOnNjvfZeXlxONRtm1a5f8LTMzk5dffvlKj2vC0qVL5V77ayNSWloq+fbjx48XAXc6nZw9e1aqo4LBII2NjVeccEMdySkdHR0ddHR0ADBmzBgqKiqkRvjw4cM0NTWJK/piZdqNFXhN00YAfwOm6Loe1DRtPbAFeBL4SNf1dZqm/X/AMV3XrxiNGTdunP7HP/4RMAyzZM6uDLVkTu/3+9m9ezdAv8J16tQpqXf87LPPJGiVkZFBd3e3+LWVllQaVA3o1aA0+qRJkzh06BC//e1v5btly5bJvQYCAd566y0JRi1cuJDly5dLscv8+fOBS4ETq9UqUVh1rhdeeIGvvvoKMKLIKurq8/lobm6WVhX33XdfnxLDsrIyefbk3KOhiA8//FA8Lbfffrv0yAQjEh8Oh2VvrLq6OioqKkRRXLRXbgqHtwFuTdNsGH0lG4BHMHrUQKrVXgpDDNdLaf4r8H8BQeBzjFZ7X+u6Pv7i96OAv+q6fkc/v5XOY8Bd13wTGG4r1czI6/Xidrv57rvvAENrqyqgsrIyCgsLefLJJwGD/z/xxBNSDNzS0jKghqOqwZHH42HZsmVChZTGVttSer1eIpGI/F1h5cqVgMH5FyxYYAqNL1q0SD7Pnz+fs2fPiubbvXu3eJhuu+02amtrJY9k1KhRfToTd3Z2ilYcTOrwD4EdO3bIs91///19yiubmppkJT5x4gRtbW3CAqqrq3nhhRdubJuOi22wnwLGAp3Ah8AT/Rza74xK7jx2LUarShV94oknOHLkiBgwmZmZHD16VDj+p59+KuH3M2fOEI/HRWDD4TDl5eXCkTdu3MihQ4dEgPsLZnz22WeUl5cDBhVZuHChdBJTUD1xwHBVqtZ6CxYsAAy3WvJzqLpTq9VKaWmp2Bi1tbWmexg2bBhff/01YLT0sNlsMln9fj/l5eWcO3cOgBkzZpCVlSV++qGO1tZWmbCJRIKuri6hLOnp6ezdu1c+d3V1mWIOA037husLPP0dcE7X9RYATdM+AuYAWZqm2XRdjwEjgfornOOaUFZWxt/93d8BsGnTJhYtWiQ8V0Uqn3/+ecAINqloZFVVFSUlJaIZfD6faH8w7IMTJ06IwFdUVPThxbNmzZLiE+VxUavk6tWr6erqkpiA1Wrl9ddfF42tvDRqG5pEIsH8+fOlMioajbJo0SLxTvQ2lh0Oh3Dxr776CqvVKka7uk8VhDl8+DBVVVVX3TNqqMDn80nspLcjIhAIMHfuXPG7q4mhPg8m2HY9HL4GuFfTNI9mrJuq1d4OQDWZSbXaS2FI4Zo1/MWOwf+J4XqMAUcwKMqnwDpN0/7Pi39b+X3caDLmzZsnzY2UR+RKOfXKpVlYWMjXX38t0cl4PE5FRYUcFwqFSCQSEso/dOiQyeOzZMkS/H4/d99tpopqkzKlwRWH13WdlStXmijM22+/LStCIpGgrKxMXI12u513331XuOyqVatM3pXkVtstLS1kZ2eL7bJnzx4mTpzIyZMnASPVORKJSMrGUMbBgwcpLi42RccvXLgg702Nj1r51q1bxyOPPCLHD6bV+vW22vvvwH/v9ecq4PrzbC+DkydPsmfPHuG9Xq+XNWvW0Nv4Ts6fVwN3/vx5xo4dKwOXmZkpHBgMCqLrukyiSCRiMvZ+9atfUVtbKyV5GzdupKurS2pQVRpCb7+6ojQOh4MFCxZIiV96ejrhcFjuVdM0vF6v8Pa77jLb8larVbr/Dhs2DL/fL/aJ0+lk586dYqSOHz+e48ePm9ycQxUTJ04kMzNTBHfUqFGmFiKqR77Kp8rNzWXPnj2SgjGQ/kEKQyJ5bDAoKipi6tSp4gu3Wq1Eo1FpV6eQLPAPPfQQAJs3byYWi4lno7Cw0LSdjNfrlU4CYHDquro6yaEvKCjg008/FU07atQoiouL+wSsLteHfsGCBSxbtsyUM7927VpZUebPn09paellszdV/3gwiiOGDx8uz+n3+1mwYIHw2qNHj14xEe7dd9/F5XLJapK8CoHh+XK73XK+UCj0vffXV20D1SqrBF6tlNu3bweMzNDy8nKZvKWlpRQUFMhk//Wvfz3ga6ZyaVK4pfCjyaVRWq93J68vv/yStra2PiF1tSvEt99+K373devW0d3dLdxPURGVP7N06VKKiookXJ+enk53d7dsUJCXl8fmzZsl7cFisWC1WsWNmEgkxDvUH8rKyojFYhJptdlsvPLKK+KXt9lszJw5U1yLKgtT4dSpU0Kx3G43Pp9POHo0GiU3N1f4bnL0V+Hjjz+W8sVoNIrFYpEV47bbbmPkyJFyb/F4nHA43KfcUb0Hn89nWiFaWlqoqamR1XEgOUOKkqjUD5XzNGfOHJYvXy7uYovFwtSpU1mxYgVg7GheX18vK21GRgZz5sy58bk03xcGIvCXa50xmHbWpaWluFwu6ZyrSuh6vxyVH59IJKirq5PzV1ZWUl5eLhy9dyrwqlWrsFqtIgThcLhfDq3cmna73RQyj0ajZGRkMHnyZKCvWzLZZXrw4EGKiorE3hg5ciR+v5+pU6f2++yffPIJEydOFIGsqqri3nvvldz78+fPEwgExN654447OH/+vHz2eDxkZ2eLwlFb6igXrMfjIT09/bJ9fgKBgEyW1tZWWlpa5F2Wl5cTDofFOXD06FFmz54trcALCgqoqqqS1OiJEycSi8Vk3CKRCL/4xS9ufH/4m4Xm5mbRer1z3QfTwGnRokWsWLHClDOzatUqKfIOBoPcd999Eph64YUXWLFihRjEydVIYASNvF6vrAiXSxpTuTSJRIK33nrrive8cuVK0XyRSIQ//elPErACxAuTSCQoLy8XAcvNzb1iPevdd9/N559/LqtVLBajoKBA4hczZ84kHo+LQe5yuaiurhZeHYlEuHDhglxfNYVSkzsnJwePxyMZj06nE6fTKStIdXW1aOThw4czbdq0qzbBUu8hHo8zZswYeQ9tbW10d3fL72/KljcppPBjxI+C0tTX14sWtdvtbNu2TXzfg0F/+ejRaPSKrdree+890TSX60igIqXKY6R4dDQalZZ4YGjlZA6vaZppk7VoNIqu66YePK+99prEDaqrq8VzofJw1IYIxcXF/bbtVi7R++67D7jkwmtubjZFmTs7O/nuu+/kbxMmTKC2tlZ633i9XoYPHy7uwrS0NAKBgFDNzs5OAoGAvCeHw0FaWprYOz09PRIRVbaBsg+cTid2u920UYXVajX14PR4PDJul3lfPw1Ks3TpUsLhsNSN7tixY1D7ciajvyU0efB6B3pKS0uJx+PyEi+HK5X1lZaWCte0Wq19+uDMmDHDxNVbW1vlWUtLS03FKqo3JhgUY/fu3cJrL9ejXoXpm5ubGTNmjLS+iEQiHDp0SCZTOBw29a4MBoO0trYyfPhwAIlPKKFVgqxsgnA4THZ2thjw2dnZ5OTkyLuqrq6W/HaPx8OFCxfE/rBYLGRlZUk6cCQSIRqNSk5SWVkZ6enpMo6bNm3C6/Wa4hfK9Xw1DHmBT0tLo62tTfLfH3jggWs+18KFC1myZIm8ZNWjUNkHw4YNM9XHKi2TXD+7fft28flfLqijIq0ul8u0hY3i4spo/fnPf055ebm8eJvNRk9Pj3B+h8Nh4uWPPfaYeCoikciACs6VV6f3vcRiMbq7u03VYh9//LFw8p6eHjwej0yw8+fPmwrjR44cSUVFhUwAl8uF3++Xsb3tttuIxWLybE6nUwQ0FApRXFwsk1nXdVMDrO7ubpPP3+/3m97BypUrqa+vN3VwGyhSHD6FWwpDnsMfO3aMmpoaWQ7Hjx9PW1ub+NmTU3EHit7pumop/fTTT3n++eeFk995550UFxezYcMGwMiUtNvtsgLEYjFKSkoGfN09e/YwefJkcc/t3LnT5IFRUCvEM888I16Ta4XyqlRWVjJ37lxTfW8oFBKPUCKRoKCgQFyDEydOxOVyyYrQ0dFhap+SSCRMmx83NzfT2toq2ZozZ84kOztb3lNVVZVcS3WmUJmcwWCQjIwMuVZ7eztOp9O0vQ9cStnwer2m3kN2u33A+fBDXuBra2ul+SkYeyrZ7XYpZu6dvjtYnDhxQpbhuro6vF6vvKQJEyYwevRoyXdXOeZq4DMyMrDb7UKJgsEgDodDeG9ubi7BYFDK8qqqqohGo+KqU7xZcdPCwkJKSkoYM2YMMPBdBC+H9evXi33gcrnIy8uTVAFlYCsKY7PZTHlEHo+HESNGCOcvLi7G4XCIEKqyS0VLlNGqhLilpYVIJCLfB4NB4f0dHR2mTSvi8bipuH7RokUsW7ZMAlLKmFf3mpmZSTwel/PZ7XZee+21n4bRarfbefvtt4WvKU20c+fO7+X8JSUl4mk4evQokUhENEd+fj4Oh0M8Ozt27KC2tlb8wR0dHdhsNuG2sViM1tZWMeQikYjJ66LyUZTnpLfHqLS0lDvvvFMmnCpsv1aoaCwYk+fs2bMyWTVNw+l0yrOkpaVhtVrFiPd4PNTW1srKqvJdlIYHw8hXOU3jx48nLy9PvDiqKEM9e/JqEAwGicViIsDKSFUG+M6dOwkEAiYjVo2lGker1SqKYjCbWqQ4fAq3FH40lEaV9DmdTkaOHMmjjw56s+9+sX37dslvz8zMZPXq1eLvfeCBBygsLOS9994DjE5gVqtVlnXl1VGcvLu7m56eHlmq7XY748aNEx6elpZGfn6+SSNFIhGhOGC4JRWtuB46A4Y7T42T3W6XrSvhEoVRWlJ5hFS69LRp06ioqBDPyV133cXatWtlC8733nuPV155Rfpi9vT0MGrUKOl8lp2dTUNDg9DRESNGSBpDenr6FesXVEarWgGCwaCJHkWjUdMWngB33nnnT4PDnz592hQgSW5t932gp6dHuOBHH31Ebm6ucPBwOMz9998vRuyECRNoaWkxlaANGzZMXl5aWhoOh0ME3ul0snnzZoqLiwFjg4OvvvpKaILX66W5udnkunv00UeFJjz++OPX/XwqH6WhoYHc3Fyp/W1vbycSiQht0DSNu+++WyZfZmamqRhG0TQ1Iex2uym8/9prr/HBBx8IvVN+9I8++kh+p56zs7OTX//61xw4cECunZ6eLi7Q/Px8PB6P+PT727iuH6Ra7aWQQm8MWaNVGXbJwQ4wtGDypgbX02nL5/PR2Ngo5YLKEFIaefTo0XR1dUmBQXd3N7NmzZKl9PDhw1RWVoqx5XQ6cbvdcs8///nP0XVdsh9VtVLyChEKhYQ2JBIJEonEFXc7GQxWr14t92qz2QiFQuL6Uyu7+vfNN9/k0KFDouF37drFsGHDxIhVml0FqtauXYvD4RCtvGnTJnEogBGoAkyBs+Qg18SJE8Wlq8ZHuYutVivZ2dny248++gi32y335nA4sFgsYgRnZ2f3Kbu8HK4q8JqmlQG/AppVfxlN03KAD4AxQDXwO13XOy4Wc/87RvexHuBVXdcPD+hOekG5Hdvb21myZIlE3hKJBM8++6zsVnc98Pv9FBQUmDqBffzxx6Y9g44dOya+7DvuuINgMCgD/fDDD/P+++/Li1Apq8l7RFksFmmVEY1GJX8GjKU9Go0KV4/H499rlwGv1yseJ4/HQ0NDgwiR3W4nHo+bBFLTNJkg8XicSCQirkHF91etWgUYEyh5x5GamhpGjBgh18vOzmbZsmXCu0eMGMHGjRsBw7sVCAT6dBtQMYk1a9aQk5MjdKmyshKbzSbHx2Ixurq6pARSKayBYCAafhXw/wLJzVf+AGzXdf3fNE37w8XP/4TRl2bCxf/uAZZd/HfQULN/06ZN/ZaWqQaog4FKHktePQ4cOCAv7b333mPGjBns2LFDftPT02PikH6/X4TiwIEDPPjgg5Jiq4IxKifd7Xbz+uuvy7aKgUAAi8UiWlP5tZXhCHxvmzOo66vJmZOTQ0NDg6mAPZFIyNguXboUq9UqAppIJNB1XVYAr9dLOBwWLb106VKT8e1yuURx9L4HMGyI5NaCHo9HFMGaNWuIRCKiaNLT0/F6vSLgNTU16Lou78nj8WCz2SS+8XrNvPwAACAASURBVKtf/WrAY3LVtVPX9d1Ae68/P4XRRg/M7fSeAlbrBr7G6FFzfaHCFFL4HnGtHL5A1/UGAF3XGzRNUxUZI4Dkngl1F//W0PsEvVrt9b2xi9qj95aEydrwcjh79qzw6uTOXSrQo/5dvnw5LpfLpDl0XTdlTNbX1wvnjsfjpoqmtrY2Zs2aJZ91XScQCPTZSU+lvcbjcZMrUKUOJ7sllVsvGarLwWA7EIwaNUoKOKZMmYLf75dr9fbOqeQytXqpzEk1Nk6nk/T0dEmz6OjoEPcgGIl469evl7Tt9957j4ULF0rwTNM03n//fcCgdi6XS7byKSkp4dChQ7JCPP3002zbtk1smWnTpuFwOOSd+nw+2traxJumzjMQfN9Ga3/SeE2t9hSX7R2NTE6XvRwG2npNtWVWAvjAAw+I0aXw2muvSXV8c3MzWVlZphK+zz//XHb/27dvn6nsrXcFkt1uJxqNiuGo+tUrocnIyOg39flaW21kZGRINZDaVSV5/JLTnpNz8MGIDzz33HNSwRSNRmloaDBNmKysLHEdbty4EV3XheOr49R77N0VYd26dRLhHjNmjKmvfVlZGQ0NDeIytVgsRKNRGc+8vDzcbrdMiAG6LYFrF/gmTdOKLmr3IkD1uqgDRiUdN6BWe6NHj+af//mfASSnQr2M3jnq38e2jMqv3tXVRV5enpT8VVZWsmbNGrmGevmq9vLIkSNkZWWJxtc0jdbWVuGQJSUlrFu3Tn6nnkFNEE3TTDnnkUiEUCgk15swYYKp1/z1Ijm1wGKxmFIJkrW5gkrTVcerWgQwVj+XyyXfK4+UanOi6zpWq1Xe1Ycffsh7770nk3/Dhg0ymX0+H36/X+IXvVftQCDAokWLWLdunXzvdrtlBTh9+jRut1sM5HHjxg14TK7V/7UZo40emNvpbQZe1gzcC3Qp6pNCCkMBA3FLrgUeAvI0TavD6DT2b8B6TdN+j9FjUjnD1YYIFRhuyf8ykJtI9lwkEgmpiIe+jTUHwuGvhmRXW1tbGw8++CBgeF0yMzPlGiqLT/nJFy9ezNatW2W5VmmuyrPyzjvvoOu6afcStZootLW1yYqhaRpZWVni9wekpcjloFKHAZP70+PxEAgERIuq51DpvsnaWz1bsu2g3JRqvIcNG4bP5xMtOnr0aFOqg9/vlxVKXR/Mmzu88sorwtu7urrkem+++SarV68WKtLS0sJHH30k465WFZUG4Xa7TWkPNpuN3NxcGefkdolXw1UFXtf1Fy7zVZ9kFt1YLwedoF5dXd1nS0nVDk+9JDWQVyu3uxq2bNkiS7nD4WDSpEkcOXIEMFpv9wcVRAFz96+0tDRCoZD4gV966SW2bt0qQnffffexd+9e07mcTqcYpk6nE5vNJunA3377bZ9rJ8cgli1bZuobo3phJp9bQbn5lKHX3d2N1WoV+qTrunwHhoC2t7eLq3DixIns37/fVG+raZoIZSKRMGUsqrFRykSdW92f1WqVCVNWViZpFWAYwM8884xUetntdtauXSvvKZFImHaBUanGapKp9IeBYEhGWjdu3CjeBa/Xa2pAej1Yu3YtDz30kGgtn8+H2+2+6qa26vhly5bR2toqQpCbm4vT6RQBd7vdbNq0yZRCO3z4cNPnjIwMicS2trby4osvihZUhdbJSI5BDHZb+wsXLoiQ9fT0iBYHY0IkTxCLxUJOTo5o7KamJpxOpwiT3W6XfH9AnlvZP2oLUPUsyf1s4NKEA8MR8Omnn0qJ5d69e1mxYoWpXvaFF14QJefxeIjFYrKiZWRkkJWVJcerhloDQSqXJoVbCkNSw0+ePFmKtu+66y50XZdSvpUrV17TjtlgNFY6d+6caFi73U5HR8dlCzIU1K4bEyZMoLy8XDRN7/B8a2srX331lYkq9LY5kr0jY8eONXUnVpmM3wfeeecdLBaLKYaQHBlVuTUKLpcLu90umrmystJUfnjo0CG8Xq94fcDQvGoD5E2bNrFkyRKhoDk5Oaxfv15WhOHDhwslUSkHqpi9q6uL+fPnS8tBpfnVimC1WgkEAuLVaWlpIR6PS6Q1uSLuahhyAr9mzRpT4lBjY2MfnqiSjQaKY8eOAZe2fUyuvElLS7uqW0u9+KqqKs6cOSMDPWvWLNxut/DerKwsLBZLn3wYRYFsNhs2m00CU263m9raWkllUGnD3wfy8/MJhUIyodQkT/a3J9tDmZmZnDt3TmiCanuh8t0Vj1b07tVXX2XNmjUmIzUrK0toUmtrq/jPwRxAjMVixGIxk0Ni/fr1cm8rVqxg/vz5cq5XX32VlStXiqJRSkP9vr5+4JvMDBmBV7WTFouFDRs2iHfh22+/ZfHixdKewu12M27cOHmB6oWqfpD95corzaaEUWmKcDhMXV2dyVtxJdhsNlNkVrW9UDzZYrFgsVjEe6Cg7lVxUfV53rx5tLe3Sx8alXPzfSArK4uOjg4puausrDRFeZXfXMHhcIinBwxlsG7dOrGdGhoaSEtL67O1p1oVN2/ezMsvvywJYm+88QarV6827SurtH9WVhbhcFgipadOneKVV14xrbTr16+XSbJ69WoCgYAYucXFxTQ3N8u9DabQPcXhU7ilMCQ0fElJibR9nj9/PkuXLhX3lqZpLF++3JTFl5+fL9pp5cqV/O53v5OKnG+++caUG33ixAlTw5/kiqX8/HxT14Groaury9QSrquri4KCAqEBra2tuFwuU2RY13Vxsd5///04nU5ZEVTFkXrWK3UwGywyMzPp6OiQNIsLFy5QUFAgY6FpWp/UYI/HI1pU0zS6urokdSA9PR2fz9fHDapa/TmdTtNOLEuWLCEQCIi9op4RDPftu+++K9SuqqqK1atXy+qzevVqmpqaZPVYunQpw4YNM23+kJ6eLtVcP7odQE6cOGHayzQtLU2Eyu12o+u6cMEZM2aYlmKVg6F4veLn6kWUlJRIf0S73W4SML/fT1pamsnIvBI6Ojqw2+0iFDNmzMDtdovr7S9/+Uu/eTzqRUUiEVwul7ygyspKCgoKrtjb8lqRlZVFZWWlqaeLpmmm4FNyjk7vwFRPTw+apkkN6zfffEMoFBK69s477xAKhURIVRczlVyWmZlpSkWASwb80qVLJWgHxrj07hX69ttvS16Oz+fj2WeflQKRzMxMU7uUwcRmhoTA94bVahX+lp+fT2trqyR1hcNhTp8+LULX3d0t/B+MYoBDhw4Jbz9z5owMumqRN3LkSMDgrWPHjhWj9mrorRXBiJyqe3vttdc4dOhQn98pXqxpGt3d3aLZ6urqGD9+vGiq7xMej4f29nYZB6V9lca12+19tt/RNM10L8nfKc2unv+NN96gtLRUzu90Olm2bJkYlhcuXMDpdEpFmtoPCy7lS6nENofDwbp160w+/+TW40uXLjXlVKkcG7X6DKaGIMXhU7ilMCQ1vK7rssynpaWRSCRMmyDU1NQIrRk+fLhpy/WnnnqK9vZ2004havMs1eZOURCHw0EgEJBa06tBVQQpLaa2mVE2wfLly/uUrSU3GD1y5AgPPvigpCr09PRQV1dn4rffF3o3YvV4PJLPDwaNiMViQhNsNpupnnbBggV8/PHHMo7d3d2m8kS41DIbjJV34cKF4i1bvHixRF3hUvcwMFaDSZMmyY7m3d3dLFiwwOSlWbt2rfj8Q6EQ4XBY8pKSu5DBzUkPvqHo7OwUI1TTNDIzM8VXXl1dLe5B6H/3h+SkKri0y1tpaSkPPfSQFAzcfvvtnD17dsBpC6o/yty5cwGkP7oySj0eTx8+XllZKfaIqmFVk6KhoYGDBw9eNofneqCS3hSFUe7C5O8XLVokwZ7eqcvLli0jHo9LMGzYsGGm9IB169ZJm2u4FCRKTjlONnDD4bAEtd58803Onz8vAj9hwgTOnj0rk+nxxx9H0zT5vdraMzmPqKurS8a1v9LCy2FICrzL5ZIMuBkzZmCxWCTgoQZF8eb+gkbJgSrV+wQMrtfZ2Slaq6qqCpfL1WffqMtBeR2UYaz2SVJeoQ0bNkhRg8JvfvMbvvnmG8AoEGlqapLrqYmbrK2+L4RCISZOnCgGudLgvdF7kwE1GXVdp7OzUwxstcIqBRP4/9v79tiornPf3/K8x56xPX5gMLYhQCqeJeTShFbJDSLNSU8kmjZ9pIpSenuJdW648NfRPSeqdCpVqnQf0r2SLZvyCOWhHkiihISepO0xEehYKQSS0IRHTDDgsYH6bcYz43nPun9sf5/X2jO2xzbBbjw/CZl57dmz97e+9T1/XziM6upqtvkXLVrETiZgXAshBC+oWCzGvstrr72GeDzOC/3WrVtMLwiAOS/NzSp0nYqKirTEmTk3MBHyNnwe8wpzUsMLITgGe/DgQaxbt463VpvNlmGfmqGGGbu7uzkTt2LFCgQCAd52+/v74Xa7M9r6xkNFRQV6enrYB1i8eDFSqRTXqJeUlHCpsQqy8d1uNy5fvsyaraKiAt3d3Wy+nThxAlu3bs3pXCZDIBCAlJKPXVBQoJlu5lAelQGou53NZuMISCqVgtPp5GtH2VB1ikc8HtdChWoZxwMPPMAZ7mAwiGvXrnF9uxACPp+P/YFAIJCRk3j77bf58yMjI3juuefY5p/KULM5KfCRSIR/zOLFi3HhwgU2ZUKhEI9UHA9Xr15lh2nr1q2csm9vb4fH4+HHS5cuhd/vzzk1vWDBAmzatEmrefnLX/7CN720tDRr8ohubCwWw44dO7j0mbjmKSw6lYnS44Gum8vlgtPp1OzgwsJCdgRJ4NXxOypliJQS3d3dfN37+vrgdru1YjcA3Mdw5MgR1NfX48CBA3zcyspKput2u90cPk6n0yguLmZz6bnnntME2uFwcDkBAK6bocVHCiSXWbBmzDmB37dvH1566SUeJXn27Fm8/PLLbAtWVVVpGcFs+OijjzSuEqp3b29v17SBw+HQHLvJYLFY0NLSwv7E8uXLsXLlShay8Wibqc6dyKNUlgRgLE5/LxjHqDY8EomguLhYi1ELIdhmJ0En252ep/cXFRXh0Ucf5QEH7733HqSU7Ci++eabsFgsXPFIDikdZ+nSpYhGo0xiRfkU+m6alQtkFgjSeaoznGw2m9aMMjQ0pBXC5bpLT3qFhRAHhBC9QohLynP/RwjRJoT4TAhxXAhRorz2ihCiXQhxVQjxdzmdRR553CdMl3msBcArUsqkEOJ/AXgFwD8JIVYBeB7AagCLAJwUQjwopcyZakAIgUOHDnF4zOPx4NVXX2VPPJlMIhgMTkjFsXPnzoyWQcAoI7XZbLx19vf3a2y/k4FGXFK0gDQOba20K40H2sKpfJjGuqhhymyjNacCuk6RSARVVVUcRamrq0MoFOIdTh0vCYzx0NB1++KLL+DxeDiE+8gjj+DKlSv8uf7+fpSWlnJUqrS0FAcPHmSTx2KxIBKJcBQtFosxVcdnn33GwycAQ+PfvHmTd07qcabdgkZ7qlWvaihyKqUZufS0/ocQYonpuX9XHp4F8IPR/38XwDEpZQzATSFEO4BvADiT8xnBqJUgk8XpdGpcLUSiOVkNezYz5fHHH8cf//hHLscdGBhAMBhkJ1flP8+GcDis1XAHAgHNpjUTvxKI2578DtVh9Hg8/P23bt3KmRR0PNDNp2OSUAWDQQwNDXHNCpmI9H5KKpGNHwwGMTg4qNnwNHsJAM+bJSc3lUqhsrKSFy/x/VB4efv27eyrlJWVIRgMakmwbO2NXwbuhQ3/cxjEqoDBMnZWeY2YxyYF2cGLFi1CPB7nuKzL5cL69es1JgHqt5wIFJ0wa0yVc/3cuXMoLy/nBaWSAWXD8PAwPB4PC5E5ItPb24sDBw5k7C4UwyY+TLJ3fT4fc64ABnEs1a9PBw0NDexQ2+12hEIhFugbN25o14zsX/rugYEBrFy5khvMSeDJoY9Go1pN+86dOzU++Lq6Oo7dA8YOoJIvtba2cg1Te3s7amtr+Trk6kPdC8xI4IUQvwCQBEA55JyZxyaj2ssjjy8D0xZ4IcQ2GDTaW+RYgDdn5jEz1R6VA3R1daG2tpbLfX0+H9xuN5sDBQUFePbZZyetkKPQ46OPPjrue4jbkUyMoqIi7NmzJ+soSUI8HmczhkoKCKFQiCk3VJg7qlQKi6n4EJOhqqqKNbfP54Pf79fCt2oFoloXD4x1Y5FJQuYJvU68lFRKcOzYMQghWGvHYjGtmpS0+x/+8AcAwOrVq3nXpS4vdZrh/cK0BF4I8TQMeuz/LKVUyRBPAPhXIcT/heG0rgBwLsshMkBpZ2r2JZNmw4YNaG1t5bAThfImq38hW3yifsfu7m4UFhbyNpxIJLB58+Zx3+9wOODz+diON4cRU6lURvEYkMmbQgIvhGCedcDwXbJxS+YKddJ2IpGA1+tlc4Eaowl07nQ9vV4v2tramBSqq6sLxcXFWnvi8PAwX6uBgQGsXbuWBXx4eBjJZJKbugHDJ3rkEYMtvbe3l234mpoabWJgrv0I9wLTZR57BYADQMuoBjgrpfwHKeVlIcTrAK7AMHV2TCVCk0ceXzamyzz26gTv/zWAX0/lJGpra7UmCY/HwwmUTz75BOFwmLdWytzl6uio7V/Nzc345je/yV07NC3u61//OgBDa01E5VdYWIhAIMCOnnkKeLYGEWCMAvvw4cP46U9/mpF+Jw3vdDpx+/btnH6XGbt374bNZuMdoqenR5tuMh4o1CeEwJUrV3jq3969e5FIJJgCo6ysTNt9Fi5ciGQyqQ0iVrvWdu/ejaeeeoqTTZ9//jkPU2htbdWSYPeCIDdXzIlMa2dnJ88KikajCAaDHJa8c+cOpJQZ3CO5Vhiq2U+qrVcnOgNj8XOv16vV3Wc7Vl9fXwYrAcHhcGi8LQSKElHdvTqBWmUSKCkp4dLjqYLMA8ox0DjM8exjUhhqKYHb7ebMaTwe13pgY7EYbDYbm3PBYFBjaKDF0NDQAMAoFxgeHuY4vppZJdt93gp8XV0d37DOzk5Eo1GuaQ+FQigvL2fuF0Kujo4qnNu2bcOBAwdYqNra2nDnzh32H/x+P8fosyEej+Ppp5/mm2qGEGJCDU0taWqCxeFw8G+fSpmrGXa7HT6fT1vM4+049N2NjY1a0sZut7NvRCRT9DgUCsHlcvGOOTw8rI3cJEpAaumLRqPo6OjIWutfUFCg7aS5cP7fK+TLg/OYV5gTGp5MBWCMEYuSEgsXLsSyZcs07ahm6d58802EQiHeUpPJpJZoamlp4dLijz/+GIlEgrW+x+OB1WrlKMH27dsnbPfr7e3V2HzNqKmpYcaubCB7luxe0nK0m02lVc2MiooKzVwrLS2FlHLcMgWzSUMTNsjO3rt3L+rr65nyMBAIwGq1cvJKCIHCwkK88MILfMyOjg7eEfx+/7gRL4vFoplyfzOJp3sFq9XKYyrD4TC6u7vZ0Vu5ciUuXbrE4T63283/AIPujmq/CRcvXmTbXe2MWbdunbZ9VlVVobq6mj9LrAZtbW0AxkKfKieOWhbQ1NSkOa51dXW4evUqh/zoptLnI5EITp06xYubxuOQkObKgKaCbG4CmVSVlZUTmgrEHKDa8KpfRGFM9To6HA6tfEIV9ra2NjidTo77T+SLUPeVutjuF+aEwMdiMa6V/utf/wqv18sCXlRUlFHf0t/fz/butWvXcPr0aRZO0r5kZ6vNJBNp51yhJptIsInXPJVK4Wtf+9q4nz169CjWrFnD9fB2ux13795lQRuvvHgiqG1vADQNPJHAJ5NJLY+galzA2Dm9Xi8f3+v14s6dO/wZ2gmIlsTn8+HWrVscd58IdG50rPup4fM2fB7zCnNCw3d0dLAdTVMqKHJijov7/X4tYqNqcBXZNPlMtTsALZNKREUU6ZgsvEZbN5kFhYWFGBoaYg03HU1H1y2VSsHlcvH16u3txYIFC/DnP/8ZgFGwpZYWFBQUwG63sy+kNkkDxnXt7OxkM2vJkiUoKSnRurJOnTrFmdnbt2/jww8/zOmcqbuKdrQvo4l9PMwJgV+6dCmbKNR7SQ5eZWUl2trauIbj5s2b2LRpE1dXSimxb98+Nml+9rOfTWgLv/vuu3jmmWcAZO8h7ezs5CSYmZb71KlTWYWShIzMmfH45qmUgJ5/9tlnEQ6H2SGfzpQTsrVPnTqljYoH9HlSy5Ytw6FDh9hhp5E1ZFYkEgns2LGDWyMrKio0ikOXy6WVSBw/fhzr1q1jX+vChQs5Tyghv0VdbPcLc0Lgb968yRk+M40zMJZEIai2aTqdRl1dHQtiLBbT3k9cNICR0S0uLmb73izsqVQKsVhMGw58+fJldmY3b96s0X6onwOA06dP44knnhg3MjIyMoLFixdrXJeJRIKFLlvSKldQ1phqkNauXQu/38/HJjpsNS+hXkcpJd577z0uT+7o6EBpaSlHlEKhEHp6eriO/vHHH0d/fz87+CqB7GSg2bQUnbqfxWN5Gz6PeYU5oeHXrFmjjR784osvNNu9o6ODm4GtViv8fj9v/6TZSKM7nU5Ni5m1bWtrKzZt2gTASOVv2bKFtdrbb7+Nhx56iCdr03vUCsAPP/yQqfvIniVb9MaNGwgEAjxcePPmzVqHlM1mg9vt5kEATqcTPT09XDc0Ew1P2pq+Tw0nAoaGdzgcHMWpr6/Hvn37NJJUj8fDLXtutxsDAwNcqjAwMIBwOIwf/MBobhsaGsL169fx3HPPTflcqUKUNPtDDz2k3dN0Oo1kMqkNiFZDwolEQgs3x2KxnNnb5oTAR6NRXLlyBcAY5ZvasU7tZPRYNXnootANJu4Uuhh+vx/Lly/n969fv57fe/nyZaZ3BgzHy3zhVNq+3/3ud3jhhRc4NBkOh9HW1sYh1R/+8IdYs2aN1o+rYuPGjbBYLLx4bTYbSkpK+PeYR+VMBVQGoDrQQ0ND7B+QQ6teO4fDwdepr68PJSUlvOhqamqYUx4wHOxnnnmGnWS/3z/pTFkzqNWRelIpH1FWVqb5E3a7PSvNthnT8XnmhMC3t7dz+9tM0djYiKqqKt4xVMczHA5r1ZMVFRVa5MbpdGY4vFarlZ1QSrTQgkkkEnj44Yfx7rvv8vuDwSAnxcygz9EipaFjJFQzqYWPRqMZpKwLFy7kRReJRDQ+dwDaTCaHwwEhBEfHhoaGNK5Mqm+ioj7yuaYCtTIzlUpNuX+XFgzRq0wnQ5234fOYV5gTGr6urg6//OUvARjblFqlR/YcbXHpdFrLCu7cuVNL8ZPN/v777wMwMoHUhkbUb6S1QqGQNiKHojQqzBr/k08+4RLiSCSCjz/+mEOq+/btg9vtHrdi8tKlS+jo6NDizuFwmB/PhDb7+9//PlpaWtiEcbvdTJUBGBraPLnbbrez1u3p6YHH4+HXh4eHsXz5cr4Pvb29sFgsM4qZq6RP0wlFmru2poM5IfAWi4W3VpvNpqXFKQVtpmGmG3Ho0CGkUinmDqfXKbQYjUbZVCgsLITL5eJjUc03tQGeP38+o9bdbrfzgmlpacGGDRu011taWvDwww8DMGpxHA4HO8XZ0Nvby8maZDKJp556ihfzVGYVmdHY2IjS0lJOalVXV6OtrU3zhaSUmsCrjMKJRAL9/f1aLP3cuXOamaXOpJ0O1LGTM/FXZoI5IfA0UAswhMBut/ONoMo6Aml8dVCZqvFTqZS2OILBIAu03W5nqmX6rNVqZUF76KGHcPbsWb6pFosFFouFM4h0w8ycL4Te3l489thjaG1tBWAQiKq0G8lkEpWVlby4rVYrXC6XJoTNzc3a7KWpwOPxcBba5XJpo+bVYi2C6sDG4/GsiTL6rQ6Hg3ff6UKt85ktgZ8W1Z7y2j8KIaQQonz0sRBCNIxS7X0mhNiQecQ88pg9TJdqD0KIGgDfBtCpPP0dGEwFKwA8AmD36N8JYbPZ2PYcPTbb0hRjJy0fj8e1UlZKf5PWTqfTcDgc2rhFinPTe9We0lgsxpqHwpc0BoZw6ZKx1rds2YJoNMo18+vXr4fH42E6OzqH8UpjFyxYoIX+/H4/Ojs72exob28fl71sMtjtdo1G3Ol0ahQk5Aepu6XVatWIlVRQRIQ0vNfr1YaiTfccAf3+3m9Mi2pvFP8PwP8A8I7y3HcBHB7lqTkrhCgRQiyUUk46pk4dmaLG4W02mxaHt1qtmplDNSGqLRqNRvniFhcXcz2JzWbT7H+i1VALwnbv3s1FVsRPozJoqRM8KORHTuqSJUuQSqV4XDul2yn9brfbNTYvc59uX18fNm3axHQWdJ4kHPF4nBc6LVxaPHQu6nxb1YQx02HTc+OhpKQEUkpmMiOlMZO6F7qHBQUF95WaQ8V0eWm2ArgtpfzUZBdWA+hSHhPV3oQCn0ql2Kbr6enRhJQ6ksiZjMfjcLlcHHuVUiISibBQWK1WCCFYazudTn5tcHAQHo+HBdzpdCIajXKh2vHjx/G9732PHbfW1lbY7XZ23DZv3oxUKqUNUYtEInwu6XQaPT09Wl1JS0sL+wg9PT1YtGiRNmZTBTm7dD7U+6mSiqqOHwBt91ILslKpFOLxOL+PnH9Vw5tr5lVawuLiYkgpebG3trZqHVXTgeozUEfb/caUBV4I4QbwCwBPZXs5y3OTUu1NxBSQRx73EtPR8MsALAVA2n0xgE+EEN/ANKn2VqxYIUmD07hzSjtXVlaiqqqKaTz6+vrQ1dXFMV2KRJCWvXv3rtZNo2rozz//HHa7XWstk1Ly7mKO82azxQOBANfCAEZ2lPo+u7q6Mgakffvb3+b/79mzB+Xl5RmdSKQ1r1y5gvXr12tZTIpKAXoEip5Xr1skEtFyDDT5G9CHPRMsFgsf77PPPkMwGOShDWqEBwBPE7kXcXhigJ4NTFngpZQXAbBKFkJ0APhPUsp+IcQJAP9dCHEMhrMayMV+l1LyjfN6vUin01oS5vLly1xrvmjRIthsNuY7AYxwFwltUVER02AAhpCoY10qjZ8B7AAAEJBJREFUKiq4IIpMG1oAV69ezWg9S6fTfONLS0u1WHlvby/PeqXfcePGDa6Voe8nISFKarXGRk2qRSIRBAIB7lNNJBL4zW9+w+9VnVA61tq1awEYpQCVlZWayVJTU8NCpvbOAoaJojZl37p1CytWrIDK8amyDd8LHki1tGDOCnw2qj0p5XjMY+8B+HsA7QBGAPyXXE5CdSSJkYDsvdraWm08e3V1NXw+Hy+QrVu34siRIyy8qVRK42sExvhgHnzwQdy4cYML1QoLC2G327WmCKvVyseiRme68T/60Y/Q29uLjo4OAGN2KN28eDyOtrY2/rzH49Hqc1KpFEpKSnDt2jUAhjPb2dnJi4gEn+pZ1HwBYAgb7WQ2my2jd4AGNtB7/X4//3aqlVETfGqV6YIFC9Dd3a1xd5qzsupuOB2o5zqToQ8zwXSp9tTXlyj/lwB2jP/uPPKYXcyJTGtBQQHb6KRtSZP5/X5UV1ezY9vR0YHly5ezydPQ0IAXX3yRQ4Eejwc+n4/j2YODg1yNWFZWhrKyMt4tJqO1M7McDA4O4sMPP2Qtt2jRIpw7d44Hfwkh0Nvby9nOXbt2aZGPvXv3wul0aqMki4qKmPLP7XYjFArx6yoLGICsLXQ09FidzAEYNn1NTY1mllCLITBmXhCDwtKlSzEyMsLnkq1qlCJi08VUJmZ/WZgTAq/azYlEAiMjI3yjPB4Puru7uUDLYrFgZGSEL96uXbvQ3NzMZoXH49FGHN6+fZtf83q9KCws5Di4eToIlQHTd8diMTQ2NrIQdHV1aTH+eDwOr9fL51JcXJyxVauPS0pKtJyCx+PBwoULmcvF6XSipqaGBZ0ENJfYd3FxMcLhMPsThYWFKCgo4BDn0NAQEokEj9U8cOAANmzYwDZ7MplEdXU1LzZzLb9qf08X06EhudeY/TOAvvJpAALZx8FgULPZI5EI0um0FsdVx1oS6EYGAgE8//zzAIC33noLtbW1vDsUFhZmaHFVQJuampBOpzm5U1lZieHhYdbw1dXVGBgYYJuevpN4ashRVOt+qAYeMDK76XSa7eZ0Oo10Os3n09jYqNXA0IIEjN1hx44d/BoNAaPFTVlXNdKiLhyK8ZMQkvNLGdY1a9ZonyU2iZnY8CpB1WwhXw+fx7zCnNDwwJgZMTIygu985zt45x2jYoHMEyr3XbZsGaSUbKNTdaFaLlBQUJB1+1RDlIChFckkAoydoqGhQavqczqdrEUXLlyIN954g0OklNmkQWm//e1vAYztWFJKLdMbCASwevVqNmEuXrzIVY0AsGrVKhw7dkyjIAHGdh1Vw1P9P51bLBZDRUUF7x5SSnz++ed8DGIqVn+7lJJ3hP3792P79u2ci/jggw+0a0e18DOJrqg9DbOFOSHw6XSaW8dSqRRee+01NmFoC6VQHS0Acp7IniYy/rfffht2u51fV+tFKLVOF9zhcGDPnj38uLm5OaPJIZFI8OLx+/1cy07o6OjA0aNHAYwJHwnN3r17NbOgvr4e9fX1/P5169bB6/UytcahQ4cyyKJUau5swkZOKp0n1fWsWrUKwWCQw5LmMgLqIaXrRAuDFr+ZGoXq6WcCuo55kyaPPO4T5oSGV2eVRiIR/PjHP2ZNU1hYiIqKCm3g7datW7mElyoa6TGVD5M2UQn/zdk9IYQ2sa+hoUFjBgOgUVmcPn0ae/bs0bbmJUuWaExjDQ0NGZpeRVNTE0dOTp8+jXQ6naG5VdNFNc3279/P/08kEnA4HGwukdYkjU2VoSpUp5USUXSudrsde/fu5eMRW7B6rWZqitB1u58TP8yYEwJ//fp1vlGxWAyHDx9mW9Tj8SCZTDILAYXdVEGl+DZ9PpFI8M01t7SpMA83zsY9SWE8QmNjo8ZUrD4GMtmKLRaLRqltngvV2Nio2exUDk1QY+/qDKXGxkYkk0mOVjmdTq7vp2Op3C5mdmC1pBowpqPs2bOHz/33v/89iouLOeJ0LwR+NvjgzZgTAr9kyRIWvgULFiCVSvGNfPLJJzWNl82BU1v+3G631oxt1iZqGQMtADoWhfrUeHwymdSGB+RK3ErvV30IVfvTb1GP19DQALvdzt9nblBXz1UVTPrdQgisWLECgLGbmfl9zDY8oI/UNDeXA2N9tuYFM1U0NjbOCQ2ft+HzmFeYExpeCMHJnb6+PrhcLm37NmvBXbt2ac/t37+ftRPRU5gLrwBDu9tsNjZ/1q5di5s3b/JuMjQ0xOxiKtQdQNVUALJqXwLtEObn6fPNzc2w2Wx87kQjQmhqagIAzV+hXam5uVljWPN6vRgeHmaNTCXUpJXLyspQUVGBkydP8rmlUimtslTFwMAAli1bxllm8hneeustAEYzS65swYBhcs3GAAQzxGyGiAhLly6Vv/rVrwDo49HHQ2Njo8aRCBghPcCowfF6vdyaFgqF2A4/cuQIVq5cyePhibKDQp93796FEIIn+ZnDmGQj0/sDgQA6Ozu5HmX79u1oamrSSg9Up5QEmBzp+vr6rGaO+jsni3sfPmy0Gj/88MPo6+vj8G4kEoGUkruvjhw5AiklZ5kdDgfsdvuEk8fPnDnDpo3VasWyZcsmrIdRrxVljVUfgu7Z0NAQz8a9h/hYSjkpldmc0PCpVIqFgGxWNRlkxs6dOzli8cYbb8Dr9bIQUi2NuR8UMGL6ahM3JZUote/z+bTIRbabK6Xk4rDKykrU1tbyuW/fvj3DKVUFvr6+HtFolBcj9a4Skskkzp8/z1o7Ho/j1KlT/BtU/yORSGiOJ5Uo0Lmk02mtDCCdTmPbtm2829TU1GTVtPR6ZWUlBgcHOY7/2GOP4ejRo9xSSAtGJVdSE34Wi4XbLQF9F79w4ULG994v5G34POYV5oSG7+rqYq2maggCtcYBhlZWaZ8LCgoQCoVYE1HEhuL2RP8MjEVN1OnSQggtVj9ZRd9UIxWqva9+z5cBtZDt+eefZzMPGIvBq2UT2aIlVERWV1cHi8XC5trBgwexbNkyLtP2er0ZUSgixQLGdiOVCIpyLU888QSuXbvGvgtRZ1NoOhKJIBgMsjk1MjJyzxpG5oTA19TUZL0hgLHFUqgRMMwfdeum+aH0uppOB7KbJfRd7e3tOHv2rGb2qGHA/fv3w+FwsCNZUFCAl156iZ1I6kCinMHg4CCklJpZs3v3brbpzYsxFotplaDxeFwzQ4qLi7VaHiklmwUjIyNaOPTMmTM4d+4cL+bGxsYMZoCGhgb2eahWiUoXKKdApQkdHR2oqqri3+bz+eByuVhIL1++jFQqpTEqFBQUaH2rZNYAei0+tSfSvfZ6vdp07mwUIz/5yU/GpdCWUmb0Eo+HOSHwXV1dfKNUhw4wtLvD4eDXrVYrD0EAjF5Mm83G2qO6uhpOp5Nv9kTlrBaLBdFolG9aeXk57HY7/vSnPwEwBLKrq0sbLnDo0CG+6SQA9F0WiyUjc+twOFhowuEwHA6H1qZ3+/Zt9iEWL16MSCTC1IChUAjl5eVsa3d2dmY4tWrQIZlMcpQmEAhotN3xeJyFGhirjVEXjcPh0HqLbTYba93S0lKcOXOG+fMXL16MCxcuaMMipovm5maOrgGGgKtFdVarlYml6LHVatX8h1wxbao9IcROIcRVIcRlIcT/Vp5/ZZRq76oQ4u9yPpM88rgPmDQsKYR4HEAIBqPYmtHnNsPgpnlGShkTQlRKKXuFEKsAHAXwDQCLAJwE8KCUcsLUWl1dnaSKwSNHjiCRSODnP/85gLHVT6u5qKgIDoeDV7XX64XL5eJyYYfDAavVyvHl69evc1hy//79WL16NdNsRKNRnDx5UqueVM0bl8ulsRT09fVpWlIN8QFjhKXkN5C/oMarX331Vd5+CwoK0NPTwxo/kUggHA6zv+JyuRAMBrVYudrKR+XHgEH7d+vWLTaXtmzZgsOHD7MdbI6Zv/POO5BSZgyioEaaiooKlJSU8HUtKyvDp59+yt1iGzdu1ChKVHa2WcK9CUuOQ7X33wD8TyllbPQ9vaPPfxfAsdHnbwoh2mEI/5lJvoNtybt376KiooJ7VNWEBWAIHVF5AMZcJYvFwgmSqqoqSCmz0knEYjEtvS6EyKCotlgsGudNJBJhk6K4uBgHDx5kO5oYFsgMoHAq9ecSVR3VowCGoFL7Idm95lg1Ceng4CB8Ph/3zKbTaX4tlUppTGT0e8g/ee211zSb31yiMF65L/kbXq8Xg4OD7KQGAgHU1dXxmJsPPvgAS5Ys0eZh/S1gujb8gwAeE0L8GkAUwD9KKc/DoNU7q7yPqPYmRFdXl2ZLHj16VKudTiQSzCVTVlamEY46HA4mbwIMO1mllDNnWs2OTzgcZgfo5Zdf1pI9VPxFiySZTHIrHWAInZonaGpqgtPpZIGmGU50/IGBASSTSa0eyGq1slO8a9cuNDU1aSRSTqdTq3shgc82rM1isXDiyeVyIRqN8mKxWCx4/fXX2acxR1gIapRKXRSJRIIXMgB861vfwsWLF1nRnD9/Hhs3bsw43lzDdAXeCqAUwKMANgJ4XQjxAKZJtZdHHvcL0xX4WwDeGuWhOSeESAMoxzSp9oQQ2qKwWCwc+Ugmk6itrWXN1tvbC4/Hk2HXUuTE5/PB4XCw9lK3/J07d+KDDz7QIj5qdWRjYyPKy8tx/PhxAAapqbk8OBso62u32+FyubRRj0NDQ7wLmMsIAGjhOKrTIXt779692kSS4eFhLSKhNqBHo1HcvXuXtTANlaDdg8w3MyUImY4vvvgigLGQbSwWQ1FREUeMqqurEY/HceLECQAGAdbatWuZGLa8vBwnT57Ek08+Oen1mk3kVEszasP/m+K0/gOARVLKfxFCPAjgfQC1AFYB+FeMOa3vA1gxmdMqhOgDEAbQP+1f8tVCOfLXgpDrtaiTUlZM9qZpUe0BOADgwGioMg5g26i2vyyEeB3AFQBJADsmE3YAkFJWCCE+ysXLng/IX4sx3OtrMSeqJYH8TVaRvxZjuNfXIl88lse8wlwS+L2zfQJzCPlrMYZ7ei3mjEmTRx73A3NJw+eRx5eOWRd4IcTTo4Vm7UKIf57t87nfEEJ0CCEuCiH+IoT4aPQ5nxCiRQhxbfRv6Wyf55eFbMWJ4/1+YWBGc4BnVeCFEBYATTDmu64C8JPRArT5hs1SyvVKNOKfAbwvpVwBI5fxVVYEBwE8bXpuvN+vzgGuhzEHeEqYbQ3/DQDtUsobUso4gGMwCtDmO74LgNqVDgF4doL3/k1DSvkfAAZNT4/3+3kOsJTyLIASIcTCqXzfbAv8eHNd5xMkgH8XQnw8Wl8EAAtoGNzo3/k213O83z9jeZntjqeci82+wviWlPKOEKISQIsQom22T2gOY8byMtsaPudis68qpJR3Rv/2AjgOw8zroa169G/v+Ef4SmK83z9jeZltgT8PYIUQYqkQwg7geQAnZvmc7huEEIVCCA/9H8Z080swrsG20bdtA/DO7JzhrGG8338CwE9HozWPIsc5wBqIWmG2/sGY6/oFgOsAfjHb53Off/sDAD4d/XeZfj+AMhjRiWujf32zfa5f4jU4CuCvABIwNPh/He/3wzBpmkZl5SKMgdhT+r58pjWPeYXZNmnyyOO+Ii/wecwr5AU+j3mFvMDnMa+QF/g85hXyAp/HvEJe4POYV8gLfB7zCv8fQRgvwxhS1lgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"filter_min = 1\n",
"filter_max = 1.75\n",
"\n",
"for maskname in ['IENA-mask.csv', 'Sking-mask.csv', 'usopen-mask.csv']:\n",
" m, n = 0, 0\n",
" mask = []\n",
" with open(maskname) as csvDataFile:\n",
" csvReader = csv.reader(csvDataFile)\n",
" for row in csvReader:\n",
" n = len(row)\n",
" m +=1\n",
" mask.extend(list(map(lambda x: float(x), row)))\n",
" mx = max(mask)\n",
" print(mx)\n",
" mask = np.array(list(map(lambda x: x if filter_min < x < filter_max else 0, mask)))\n",
" mask = np.array(list(map(lambda x: int(x * 255/mx), mask)))\n",
" mask = mask.reshape((m, n))\n",
" plt.imshow(mask, cmap='gray')\n",
" plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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