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-rw-r--r--docs/cache_nbrun2
-rwxr-xr-xdocs/nb_run_conv12
-rw-r--r--notebooks/plot_OT_1D.ipynb247
-rw-r--r--notebooks/plot_OT_2D_samples.ipynb288
-rw-r--r--notebooks/plot_OT_L1_vs_L2.ipynb373
-rw-r--r--notebooks/plot_WDA.ipynb299
-rw-r--r--notebooks/plot_barycenter_1D.ipynb308
-rw-r--r--notebooks/plot_compute_emd.ipynb248
-rw-r--r--notebooks/plot_optim_OTreg.ipynb762
-rw-r--r--notebooks/plot_otda_classes.ipynb313
-rw-r--r--notebooks/plot_otda_color_images.ipynb322
-rw-r--r--notebooks/plot_otda_d2.ipynb320
-rw-r--r--notebooks/plot_otda_mapping.ipynb288
-rw-r--r--notebooks/plot_otda_mapping_colors_images.ipynb363
14 files changed, 4137 insertions, 8 deletions
diff --git a/docs/cache_nbrun b/docs/cache_nbrun
index 8cb878b..1510b2b 100644
--- a/docs/cache_nbrun
+++ b/docs/cache_nbrun
@@ -1 +1 @@
-{"plot_barycenter_1D.ipynb": "6fd8167f98816dc832fe0c58b1d5527b", "plot_otda_mapping.ipynb": "d335a15af828aaa3439a1c67570d79d6"} \ No newline at end of file
+{"plot_otda_mapping_colors_images.ipynb": "4f0587a00a3c082799a75a0ed36e9ce1", "plot_optim_OTreg.ipynb": "71d3c106b3f395a6b1001078a6ca6f8d", "plot_barycenter_1D.ipynb": "6fd8167f98816dc832fe0c58b1d5527b", "plot_WDA.ipynb": "27f8de4c6d7db46497076523673eedfb", "plot_OT_L1_vs_L2.ipynb": "e15219bf651a7e39e7c5c3934069894c", "plot_otda_color_images.ipynb": "d047d635f4987c81072383241590e21f", "plot_otda_classes.ipynb": "44bb8cd93317b5d342cd62e26d9bbe60", "plot_otda_d2.ipynb": "8ac4fd2ff899df0858ce1e5fead37f33", "plot_otda_mapping.ipynb": "d335a15af828aaa3439a1c67570d79d6", "plot_compute_emd.ipynb": "bd95981189df6adcb113d9b360ead734", "plot_OT_1D.ipynb": "e44c83f6112388ae18657cb0ad76d0e9", "plot_OT_2D_samples.ipynb": "3f125714daa35ff3cfe5dae1f71265c4"} \ No newline at end of file
diff --git a/docs/nb_run_conv b/docs/nb_run_conv
index 99dbbce..ad5e432 100755
--- a/docs/nb_run_conv
+++ b/docs/nb_run_conv
@@ -20,7 +20,7 @@ import os
cache_file='cache_nbrun'
path_doc='source/auto_examples/'
-path_nb='../../../notebooks/'
+path_nb='../notebooks/'
def load_json(fname):
try:
@@ -58,8 +58,9 @@ def to_update(fname,cache):
def update(fname,cache):
# jupyter nbconvert --to notebook --execute mynotebook.ipynb --output targte
- print(' '.join(['jupyter','nbconvert','--to','notebook','--execute',path_doc+fname,'--output',path_nb+fname]))
- subprocess.check_call(['jupyter','nbconvert','--to','notebook','--execute',path_doc+fname,'--output',path_nb+fname])
+ subprocess.check_call(['cp',path_doc+fname,path_nb])
+ print(' '.join(['jupyter','nbconvert','--to','notebook','--ExecutePreprocessor.timeout=600','--execute',path_nb+fname,'--inplace']))
+ subprocess.check_call(['jupyter','nbconvert','--to','notebook','--ExecutePreprocessor.timeout=600','--execute',path_nb+fname,'--inplace'])
cache[fname]=md5(path_doc+fname)
@@ -74,11 +75,8 @@ for fname in lst_file:
if to_update(fname,cache):
print('Updating file: {}'.format(fname))
update(fname,cache)
+ save_json(cache_file,cache)
-update(lst_file[0],cache)
-
-
-save_json(cache_file,cache)
diff --git a/notebooks/plot_OT_1D.ipynb b/notebooks/plot_OT_1D.ipynb
new file mode 100644
index 0000000..c4b2e67
--- /dev/null
+++ b/notebooks/plot_OT_1D.ipynb
@@ -0,0 +1,247 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# 1D optimal transport\n",
+ "\n",
+ "\n",
+ "This example illustrates the computation of EMD and Sinkhorn transport plans\n",
+ "and their visualization.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot\n",
+ "from ot.datasets import get_1D_gauss as gauss"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters\n",
+ "\n",
+ "n = 100 # nb bins\n",
+ "\n",
+ "# bin positions\n",
+ "x = np.arange(n, dtype=np.float64)\n",
+ "\n",
+ "# Gaussian distributions\n",
+ "a = gauss(n, m=20, s=5) # m= mean, s= std\n",
+ "b = gauss(n, m=60, s=10)\n",
+ "\n",
+ "# loss matrix\n",
+ "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n",
+ "M /= M.max()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot distributions and loss matrix\n",
+ "----------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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TlpZG27ZtGT16NA8//HCx2wUaJ/w+XX1pU/OXR/VC61tU5vyNllAiyKJFeh2M2ajr19d2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\ncHFVKfBdXJU4CuLicVXicBK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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f3f95cf5f28>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f3f93c83208>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot the distributions\n",
+ "\n",
+ "pl.figure(1, figsize=(6.4, 3))\n",
+ "pl.plot(x, a, 'b', label='Source distribution')\n",
+ "pl.plot(x, b, 'r', label='Target distribution')\n",
+ "pl.legend()\n",
+ "\n",
+ "#%% plot distributions and loss matrix\n",
+ "\n",
+ "pl.figure(2, figsize=(5, 5))\n",
+ "ot.plot.plot1D_mat(a, b, M, 'Cost matrix M')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Solve EMD\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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yfTl0MwB7P90UqJg4PRvlTJdCbbVo4aMcjjyyYl8I8MknOy+389xzUFLixzRq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\ngSsiEhMFrohITP4PrQ161dhEqnEAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f3f93b3c898>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% EMD\n",
+ "\n",
+ "G0 = ot.emd(a, b, M)\n",
+ "\n",
+ "pl.figure(3, figsize=(5, 5))\n",
+ "ot.plot.plot1D_mat(a, b, G0, 'OT matrix G0')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Solve Sinkhorn\n",
+ "--------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Err \n",
+ "-------------------\n",
+ " 0|8.187970e-02|\n",
+ " 10|3.460174e-02|\n",
+ " 20|6.633335e-03|\n",
+ " 30|9.797798e-04|\n",
+ " 40|1.389606e-04|\n",
+ " 50|1.959016e-05|\n",
+ " 60|2.759079e-06|\n",
+ " 70|3.885166e-07|\n",
+ " 80|5.470605e-08|\n",
+ " 90|7.702918e-09|\n",
+ " 100|1.084609e-09|\n",
+ " 110|1.527180e-10|\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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y5Mgwe/bsWo/dcgt8//vesY4eDRde6N2spmPFy8zmhBBGApyS9y9qZ5KS+tXN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\niEhMFLgiIjH5/xjX3J71f+OyAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f3f93a2b470>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% Sinkhorn\n",
+ "\n",
+ "lambd = 1e-3\n",
+ "Gs = ot.sinkhorn(a, b, M, lambd, verbose=True)\n",
+ "\n",
+ "pl.figure(4, figsize=(5, 5))\n",
+ "ot.plot.plot1D_mat(a, b, Gs, 'OT matrix Sinkhorn')\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_OT_2D_samples.ipynb b/notebooks/plot_OT_2D_samples.ipynb
new file mode 100644
index 0000000..900eaa7
--- /dev/null
+++ b/notebooks/plot_OT_2D_samples.ipynb
@@ -0,0 +1,288 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# 2D Optimal transport between empirical distributions\n",
+ "\n",
+ "\n",
+ "Illustration of 2D optimal transport between discributions that are weighted\n",
+ "sum of diracs. The OT matrix is plotted with the samples.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters and data generation\n",
+ "\n",
+ "n = 50 # nb samples\n",
+ "\n",
+ "mu_s = np.array([0, 0])\n",
+ "cov_s = np.array([[1, 0], [0, 1]])\n",
+ "\n",
+ "mu_t = np.array([4, 4])\n",
+ "cov_t = np.array([[1, -.8], [-.8, 1]])\n",
+ "\n",
+ "xs = ot.datasets.get_2D_samples_gauss(n, mu_s, cov_s)\n",
+ "xt = ot.datasets.get_2D_samples_gauss(n, mu_t, cov_t)\n",
+ "\n",
+ "a, b = np.ones((n,)) / n, np.ones((n,)) / n # uniform distribution on samples\n",
+ "\n",
+ "# loss matrix\n",
+ "M = ot.dist(xs, xt)\n",
+ "M /= M.max()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.text.Text at 0x7ff7483c3be0>"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7ff74a486438>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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rp67z2kM0XOJrJ1Ooxxe1crW4W0Qf7uLl3KS2NJPpvXyGTfJYPMPnmxPXdLXf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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7ff748402c88>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot samples\n",
+ "\n",
+ "pl.figure(1)\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Source and target distributions')\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.imshow(M, interpolation='nearest')\n",
+ "pl.title('Cost matrix M')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute EMD\n",
+ "-----------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.text.Text at 0x7ff7482661d0>"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7ff74a486128>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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meOR7L8bq1bwXHh6cmbTbHY/NvzRicijg9YJt0fL//o+hSo1tygGgdPo8iHkG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7t5E0KLjUUrP38eQvrkJ32X6Hl5eLslJby+c2f7TTdaE/yjj0xNFM1mmTePcWVkQC4BAbx/yRK8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\nAKOf94eua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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7ff7482bb320>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% EMD\n",
+ "\n",
+ "G0 = ot.emd(a, b, M)\n",
+ "\n",
+ "pl.figure(3)\n",
+ "pl.imshow(G0, interpolation='nearest')\n",
+ "pl.title('OT matrix G0')\n",
+ "\n",
+ "pl.figure(4)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, G0, c=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('OT matrix with samples')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute Sinkhorn\n",
+ "----------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7ff778595748>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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GhtNx2Qt01tEBusaXX1LHkZVFjtjiYrLSMzKog+uuHbg81tEB0v6//546ypEj\nydI/dgzYuJGuERICZDeaEPS4AYefNGJniIJgTwVXPD8HOr2E9f2VOHgYGP7fMxD8+VI0zZkLP+Cc\nWu1mM/DddxQy6ulJHXtGBqD/+/kbjV/K0Cx2DX2O0z3LigqKz5YSmDaNdOX+InWHg4b/x4+TpW63\n04c1aw8PsiRHjCCZpKfoLLsARLJff02TmkJCqMyqKiLpIUPoe3daOhM6yy4OB5W7cydNNvL3Jyvd\nw4PIsrqaOorhw4HYWKD+L0twMDAHx+IVBAXRCGHQY/egvh749rbX4ZdvwuQXboDeZoGQDuj8fEgj\nOx2Z9nKyoJR0/yYT3ceIEeRT8PfvedtezrgoLXYpZY+iTDRcuDidoXD8OE2S8fAgUg8O7h9SZ5Js\nbqaIl/p62ma3E6ELQcSYkEDE2NP6daWjA6qV3tJClqmXF8kPPj7khI2MJB2/uzLtdiJCm43q0txM\nunlNDZCSQpb/oUNk+QNU59RUsuK//x6oHDUPXl5AWgKQlESZMlfPfh319UDwRhOuyDNgw4MrEXPU\nhLh3F1Nv0xM4wxOt7xpRP1JB6K7u9fmKCkq/UFJCoZs33EAjtV5O2O4dLtN88xcMsXt5eaG6uhoh\nISEauV+kkFKiurr6pPVTGUePUkijnx+RekBA/5A6k3d5OdXJaqU62O1EnEKo8elhYT0rsztCd7XS\ng4NJKqmpofjyoUPJovbz6zr/DevoFgvVEaAOcc8einrx8qJ2tNlopm5rK+XSyTEtgXTPwS6HgtJS\nKie92oS46nw0TpiHDRuIZNmHEFGSj63zjUiOBSJeczot//EPym9zukU5ALRMvxG6mw0ovSoXId/n\nQXTSwy0WYMMGYNs2qv/UqUB6Ov1/ztEPC59cCLhgiD0qKgolJSWorKzs76poOAt4eXkhKirqpO0H\nDpDFyo49X9/zT+pSqiGBBQUkg+j1qpbO1jDLJKcLMeQyXcEELSVZ0F99RdZ1ejoRcWUl3XtKClmt\nXZEbE7rVSoazw0EykNlMjsayMiA+nkYTx46Rv4It/7AwoKIgB1G/MaDtASMCr1CQUWPCgEcMOLDI\niL3fUn0cDrp3X19APDwPYyqdaX9Pld+mE0na15rguMWA7+42IvLKgUhb0TE8kfPcmEw0UklNJdnF\nz+8cW+muUBTU/dMInzkGtNyei6Bll0dc/AWjsWu4dLFzJ6Wa5VwqXl7nn9TtdiLJ2loKJzSbqR5M\n6Gy1R0fW0N2pAAAgAElEQVRTKGN3sgjD9bVx1dGlJEt47VqyrAcMIBKvrycyjY6mkM6uZtS66uht\nbfRXryfn4r59FMao05HVz6GNej3JONHRFNZ49Cgw6D9LoPN0Q+IHT6Htd7nweisP+29YAGurDTum\nzWuXmaKiqMPx80OPJQvrGrJ4j12bi6jP87D+HiMGDADG/N0A8YdcCk80GlE5QsHatSQNhYcDkyfT\n9fT68/fcW1rI/1BSAowwPoKUj5wdjzP/0cWInmrsGrFrOKf4+WeSCYYOVTMTnk9S5wgSq5Ws29JS\nuraXF734PFPTwwNITibN93R168oxytsOHiSrurmZCN3Hh3TuwECSXUJCiKhdpRcmdO58uJPx8KD/\n160jghw0iAi8spK2h4bSd4eDyKumhogzdJcJmU8ZUJw6A4k/LcXRiXMRsWM1vv2DEXVZCoKDidDD\nwnr+HOx26jS2bwdi/v0Isr9YjB3XL4T3TAWJfzW0yy9tX5mAXxiw4lYjylMUjBtHkpa7+/mz0s1m\nmlh24AC1U3KZCelPdOx4LlaL/aJ0nmq4dCAl6aqbN5OFOnEiWcHnk9TZEm9sJCu9uZkIXa8nq5r3\nBwQQ+Zwug2RXsovr7NH168lKDwqiPDcNDUQyiYlqjL7rSIDLY23fYqGyPD2JCA8fpkk7Nht1CkKQ\n09PXl2QYT0/yE1RVURkeHhSquSdcgWPaAoz78EHUB8cgZsM72PrL52CdqCAzkTJD6t7Kh3i4Z87D\n8nKKhz9+HPDfbELKt3nYd/NCjFifB/2gclpab4qC/fsA0xEFwb8wIsOSj4G/prw058NK55HO8eMk\n/9TX0/Oc7DAh9EkD8EEniekiJveeQLPYNfQ5HA6yMnfvJq169Gh6uc8XqbOVznleioupToGBaqgg\n68yDBpH2e6rUAF29IrzN4SArfd066kBSUqis1lZyliYmkhzj4aFarK7nsuzicBDpe3pSZ2MykUYf\nFERSS0sL7R80iO6joYEsd4uFyjWbiczMZmDgXhOm/9uAI4kzkLZ9KexunpBeXmh5ZwUlAPtFz4it\ntpYSkB0+TB1G4FYTZrxlwP7HjRieq8D7J5Jl6t8wYrVZwbFjJLtMmqRG+XRppfdhpAr7TWpqaHJW\neTm14bBhztnBz11aUTGaFKOhX2C3A6tXEyllZ9OQ/3ySOlvhZjNZ6XV1RKpMhkIQAbq5UWqAuLju\nJYLuXg2WThoaaFSyaxeVP2wYdRh6PTk3IyOJ5N3dVeuez3eVXdzcqI7u7iR3rFtH5URHA8mfLUF9\nUg5sVygIDaVz5HoTPHbko/i2ebBYiIBbWlR/QeaaJbALN0z47imUzclF9CcvAVY7KhPGIrx0B3Qf\nuJB6FyTbssqEJlM+dkybh6oq6jza2ijaJuiaHAyZq8DNjbbt/V8T6tfmQ+8GhE7PwZDfKO2dmO7b\nbgjUGZnS+rYR3jPPbHYpd4pNTfSci4upXSMj6Td30qzdSyTsUZNiNJx3WK20KERRESXzSk4mMj8f\npM5aud1O0kRRERHSgAEdpZfmZqpPamr3GvOpCB2g6xQUEAE3NZFM4u1N/4eFkUwSENBRV+bOgOvJ\nYZVeXkTqNhs5XHfvprLi46lu5rQcZD9hQPFAI04IBe4bTMj8mwHbFhhRVUWdi9WqdhQ2G1AVm4Pr\n3zWg+nUjGtMU/JioYNyT12LQ7nVofXAhvF3JzSXSpXWsgpqPTAi/z4CDDxhRU0NtaLMRYQ5+cR4G\nDqT72L+feLHRqiAlV8EVNhMC7jLAkWiEmKoQqXcTViinKCh4yojIWw2onpuLEGPPdW8m9NZWkqUK\nCuj/AQNodBge3s3SiS732ZitwH/zpR32qBG7hj6BxUITj0pLKU6ZJ/WcD1K3WtVPYSERu05HUTgc\nA15XR+QXHKyGMnYVldIVeDtbiD/8QFZ6QABNDLJYaD/HvXt5kRXuSjA8o5WPZSvdzY0cn199RXUc\nNIhIytOTytcPUbBHZ0TS/QbUTM5F2vd5+OkBIw6GKmit7ig76XQUeXJFVT4qXzFiV7CCuj3AEAEI\nTw/givHwfisPmKl0mLLf9o4R4kYDDk7KRfK3efj5QSNKhyloaaKOKT2dOkJfX5I81q6ldg4Lozj6\niAjAzU2BXE6rODXNzUVAN4trV1aSkVzvqyBnVi4SXu1ZBkf2Q7S1UR2OHqW/np5Uv7i400QyKQpa\n3zZCP8eAwqm5SPk2D/oPL12dXSN2DWeNlhZKEVBdTS96ZOT5IXVXK72hgay35mYiRNbTbTYiE52O\nHJiJiUSona260+noFgsN99etIwJOSqL7s1iIjOPjydL29KRrcflsYbJV7Urodjs5XLdvp++xsTS1\n3seHPm1tZMGXORQ0j8nF+FWLsf36hdgRrACtKtFJSZ0BJyg7MHQeysoAXRMwssGEpH8YID5ZcdIE\nnbYJCgoLgZ8rFSTk5GLsp4ux58aFOJ6koKmR6jJyJKU7EIJyu+TnU12nTKEOUq+n7y0twGadgrDJ\nuRjx0slkbbNRqoPDh6l9xraaEPP16TM4uhJ6YyM5R0tLad+QITQqPN18g9ZW6ogLGhSkKrlIW7EY\nlnkLob9ESR3QiF3DWaKhgZJ5NTUB111HIXjnmtQ5AoLJ8vhx+gBkPfJknsZG0tPZmdbVtP1TETpb\nwy0ttGDFzp1EIpmZdH13dyLTkBDVOcqk7nCok4w4kRjLLhzdsno1WZ2hoVRvHx81aqekhOSklhYg\nttCErE15yJ9BkSiHoxQcjVHgcKj3FhdHndq2beoiICNHAoG3PQssWNDBQrc/vACWRc/iy/sUnDgB\nDD5gQsbGPOy/ZSHiv8xDSaKC0GuU9nsrKKAOqKGBnMPjxwP+eUuga8iBnKJg3z6SZuJWPo/k1X+H\n/c8LoXeStWMyzX7dvp3ODw4GJlpN8O1qsW/nd/ZB2GxqbpyyMmqzlhbqxIYNowlep5qkbrVSlNKh\nQ/Qck46bkPo9dSaeeXnA9Es3HbBG7BrOGDU1ROpWK+X94HDBc0nqnA7AbidL7PBhInBvbyIzgF5+\njhjx9yeJJCioo5PUldDZselK6GwlnjhBVnptLZGnnx9dOyqKLGxX5yjfMxMS55zx8FCJ32aj3C1b\ntlAnEx9P5OnuTh+eZFRbS+cOLzXh6qUGrL7DiOIEBUeHKpj1tgGfzzXCPknB8OFUzqFDROy+viQn\ns5WNhx4i0szKQssYBa1fmOC/+Cl8/VsjTpygTuOq/xiw+WEjjkQrKElUcGWeAZaJRrR5KFixguoT\nFgbcfDONCIQAdGNyIH5hwNaHjTg8REHGuueRvOxBiOeeo5tcsADyFprtujNEwaB9JmQ35SP82XkQ\nz3adwVH+nA/bRKVdtuJol5IStYNOSaEc9adKR2Cz0e9i3z76LQQFAVOkCWHPXj5hj1pUjIYzQnk5\nyS86HTB7tkrm54rUOazNZqP/y8powpHNRhZvYKAqyZSV0TlhYWRRe3urdToVoQMqoVssFIO/dSuR\n5dChdLyfnxrC6O5O5bpa6UzoUqqzRt3c6HtJCU1eqqoiMo+JUfV4q5WkntJSKodj3tNWL0HZkBwU\nJyiwWOhaKRUmDG/Ih68vcHxwDg5FUSRKfDyQUm6C27aOkR5l75kQdI8Be50a+pe/NaImQ0F4ODDs\nkyU4EUlZH9n/EL7HhPLP8/Fxwjzo9WifZKTT0T3xylL1K00Y96IBB6bmImPd8xCLFgEPPADb1yaI\nWw3Yc/0COCw2OEblIPMpQ8donE7PljtDh0N9jqWlJO9xWGp8PD3n7mC3029izx4639eXnn9c3KUT\n9qiFO2o4ZyguBj79lEhp9myyns4lqXPEB0sbR46QRevuTi+8ry9Z79XVlNzK3Z1e5tjYk0MNga4J\nnXV0h4M6rbVrqbyhQ0mz53QDUVEqGTOpu2aFdDhoG1vgvKjGDz+QxiwElRkWpsZ5l5UR6be20jYv\nL7WTYKKTkjqVoUOpDs3NNL1/3N9mofjuxQhe/ACCtjn18wULAJsNlb+dhx9/JEfnyJWP4IpvFmPb\ndQtx4p5F8PYmiaOujsqOjXWm962nSVH19arswqGDdju17759JH2ZzcDErx9B1meLYf/zQojFi9DQ\nQMRa87EJV75uQPmcXMR8eXJiMG5zm029P3Yul5bSdcxmsrZjY0l26S4s1W6nc3bvpt+Fhwf5QIYP\n712q5YsBWrijhnOCI0eAVavIcpo9WyW3c0HqbKVzZkPO88JhjKGhdN2qKiJjliKSk0mW4QRfnUnd\n4eh4DY4qsdlIIsnPp3JTUqiMwEDVWuROjDM4MjFx+KK7u3qMzUak+t13JA0FBlKH4+lJxzQ0kIXJ\n8fW+vlQndohyPb286H7i4ui4khLnhKGxCpoeXozYJx5E8/HtcHy3Gro/L4D821M4PvZGbDlhwp5w\nBUMLTMjenIcSZS7Sv34ejkkKjicp7VZtcjJdY8MGkl1CQ4FbbiHdXwi6v6YmstILCug5uLkBWXUm\npP+QB/nXhdC9lofiJAU/eirkuB2qoHB6LlLeOdmRyu3F98ffKyroOTY1UX0SE0lS8vbu/vdRUUEd\nCTvIExJo1OH98hKg6uK30M8UfUbsQgg9gM0AjkspZ/VVuRouHOzbR2F54eHkKJXy3JG6q3NUSnIk\nlpWpIX0DBhDplJbSdquVtqWlqdkDO69e5HB01NFdO42aGrq3ykoik8BAIumYGCI4llSY1F0X4xCC\n9rm7q9EulZXkMNyxg8qPjSUr3d2d7q2gQM35wlKRK9nxTNTAQHL6hoURiTU0UKeQmkplbWh7AMnj\ntiNhxVKUJV2BAY8/hbV3GVFfD9zwhgEh0xYgZ91TKPvdAkS89RQO374IqYsMqPujEX5TFcTGEplv\n20ZtxtEuOp06AikpURf1tlqpTmNbTUj8hwG294yoTFdwIkhB8n8ZoJ9rhP8oBZPsJiR82zHqxT5J\n6XCPLMHU1hKhNzTQtogIegbBwd2nM66qolwwnJY4MpLqHRjoPOcyTdfL6EuL/X4A+wD0cvEwDRcD\ntm+nd2PIEGDmTDVuuq9J3dWCBkjGOHSIrLiAAOpUQkKIBMrL6cXW69WsiV5eHa30rgidpR3etnkz\nsGmTGmHi4UGkkpBA98eOT9eymKA43I+H/GyF5+cTEfv5qaGQ7u7UCZWV0ejC3Z0sZl67lEmM23Xw\nYCKs5may/KWkbQMHUptUVgJ++SZE7lyN4/FXIPLg99iVNRc7QxR4RwH5Dxkx4ZlZKBt3EyLeego7\n/2LEoSgFZYOyMLw2H6UBCr76iuqcnEz5fLy91Q61spKuy6MKT09q47FjgYDX8tH8LyMKBinY9hVQ\nLRQU/daItKZ8RIUDfnca2nPIOCYp0BkMsC0lkuWRTlMTtUV9PY3CAgOJ1DmyqavfRm0tdTLHj6uJ\n0FJS6HfR4XeoKLAtMwI3GWD9XS7F7/MSe8797ejOkr+IZ6v2CbELIaIAXAvgSQAP9EWZGi4MSEkZ\nGn/8kaSAadOIFM8FqbOVzsu+lZTQx24nQgsOJs31xAki9ZoaIl0esrtOCmJyd5VdXHV0vZ5I4osv\niIAjI9WJQXFxZCHzNH+9XrXQOWKDsy+66uiVlZQ3Zvduuo8hQ6jeHO1SXEwRPDzjlAmOZRx2ToaF\nUX3c3ek+WXoaNIi+b9xI5Qzca8K0fxmw6coFGL3uKezKnIsR296BJTkTzXc/gNJSBVsm/w/GfLUY\nh25diENRCgYMAAJvUPDdPgXF66mTNBjUyVxtbUS4vFRgZSXd78CBFOYZH0/HlPxyHvbsAQ47k5SF\nhQFp1yuIj1cgnl0COedG2G2AzQLICQr07xihNy6HPT8fzX+Yh/Jy0vdbWqjNo6PpnrtaIs/hUKOF\n2BcRFEQa+uDBJ4ew2u1kzR9oUpCo5GLEc53koJ5a8hex1d9XFvuLAOYB6HblQiHE3QDuBoDo6Og+\nuqyGcwkpSR/eupUsuqlTybLsa1J3nWgkBP1/6BC9+N7eRJBhYbSvsJCI3WIhCz4lRU0b4LpyUWcd\n3WJRCdndnSz0jRvVjsHbm8hr6FD6n0nb1brnDocnGen1VG5VFRHgzp1UN29vct4FBRHBHz5MnQiv\noermpjoOAZXQAwPJ8gwKInLldUs5CdiuXdQmXJ/Qo/nYqCzA2HVP4fO5RrSMUeD1cyYy//UIPg/L\ngocdyPgxD7vmLETiqjxYxisoDqI86Xo95UjPyFAXxrZa6T6OHSMCbWmh55yYSDHxHh5qYrBdu9QQ\nxMxMYNQoOlZKwPrf8yDXm+D+SwPku2S12+2A2ycfo/xFI0oOU9lC0HMdNOjk9A4so/FopbhYHbUN\nG0YdQefEbXY7SVz799N5Qw6bkGw6eRJU87+N8LjRgKIZuUj4+hTpDJxWv7yRnMBRn108KX/POipG\nCDELwEwp5R+EEFMAPHg6jV2Lirnw4XDQkm5799KLO3EiWUp9Teqsc7Nez8vVtbURyYWF0d+6OiKb\nEyeIEMLDiTx5wQomdVdCB9REWxxPXl1NVnppKRFKSAjJJXFxNCLw8CCyYsmGJxoBHaNdbDYaMXCc\n9e7dRI6DB6ujB9b/zWbVqcrl8Wun06kx+CEhtK+xkfZzZ3biBNWb87awfwCgxFyNw3Ogu1KBlxeR\ncsAWE1J2Lkfs9o/xwx+J8KMOmTDsEQNW3maEz7UKrrhCzSTJ4YXFxVTfmhoqe+BAIvSICCLKykoi\n9OPHVVlo4kRqR5an7HY6182NonbcfmVA4fRcxH+dh4KnjKhIVWC1kmU+YAB1Wp6e6vNiQm9tpXsp\nLqa6eXtTpzt06MmLlNjt9Aw4Xa+nJzCy3oToh9Q88TCZIG8xYM+jRuwOU5BqfARpKyiaR//kyQtv\nmM30TAsKgOHLHkH6J4sh/0qRP/2J8xkVMwHA9UKImQC8AAQIId6RUv66D8rW0A+w24n8Dh8mPTU7\nu+9J3TUZlk6npr+tqiJSiIkhYgsIUKeRl5UROcbG0gvuOn3flSwBNb85oMopGzdS2KGHB+nnfn5E\nWtHRtI1nfbJ+7kroej0dwzpvdTWRyL59RCqenuS8CwkhAmTJgImbnZGAGran16sSi4cHEbrNRqTn\n6UnlVFURqbJ1z8TOqyDV/H4eAgPpuKNHqcyQaxTIpnxsnGKEbYKC2nJgT5uC4ruNuMYtHz7XUEy8\n2UzP4Phxatvycqqjry9ZxSkpqqOSF65oaaHrZmeTA5ezPLqOZqSkDuBAg4LkSbnIfH8xjt2+EKXD\nFXjoqQPlnDgMJnSzWZXg6uqoHWJj6ffQeZKZ3U6d3v799Dw8PWlkmZICuL+gToJqagL2+Cho+YMR\nAzbmI2kUkPodWfL6vDzgKnUGalMTRdkUFtJ9JZaos1VFXh4w9eKYrdqnceyaxX7xo62NMjQeO6YO\n1Zub+47UXWd1SkmkW11NxNHcTM6wgQPRnkWwuJhecg7NS0qifTw5qHPkCxO6lGp+88pKCtE8cYLO\nDQ2lDoOzMHLEC6ASJ5MnE7oQ9NJXVal/d+4kohs0iMpqblYlA7td7VC4k3CVi/z8yEr38yMybWmh\njsXXlwitqkoleh45cPt5exMpDhxIRMjRKiEh1BlWV6uSVEEB/T92LMklruuoVlVRm1RW0rV0OjXt\nLctBFRVkCVdUUHmxsU7nacDJ8hRfb+dOOnfc2/cgLv99lN3yRwxamYdjzxoREAAEF+RDP39e+/2w\nw5xHZHV1qkwzdCg9L1dnqs1GnRAbAno9jZJSUtSQUYCex969RNJ2O7XPyHoTQnI76ubSYEDzv4zY\nEUw55e12uuaoBhPC/l83Gns/kbsWx66h1zCbgRUr6KW55hpyTvUlqfMkHrbShSAtvbRUnbgzcCBZ\ndCwNFBfT8bx2KKfDBVSy4/BD1ul56TshyOm7YQO9/HFxdP6QIfTh/C06neoUZaLS61ViNpuJLBsa\nqNM4eJAIzNOTOj4/PzUNAOeQYcuVpQl2srJzlP0CTU10/YAAdZHtxkbVJwCo5OflRceFhlJnU16u\nplOIj1cjWXQ6ssAbG4mIr7ySzm1uVmPSy8vpntg5GhhInWZcHH0vKyNC5HkDfn7kS4yLU9uLHcjs\n6N61i8qUklZpis9/H4BEWTJZuXH3zYGwmIGrr4ZcT3lmrFag5iMTxPvLYQ2OR8NN8xAcTM9n0CC1\nAwfUWPeCAqq/ENQRJSdTR8Qjt+Zm+l0dPaqGwY4YQcdiiWrJ2+1AbZqC438xQr6Xj6JZCjmB0+ja\nrscCaE99gPz8C95q12aeagBAL8NHHxE5XXstEUJfkbprzDhb6Y2NNLRvaKCXMiKCSN3Li17e4mKS\nCNzcSMuNjydrzDWumV9kLts1L0tFBfD552QBsk4/YICaldF1ohFHu3DsOIcvcq4SdljW1JA12txM\ndY2PJ2IsK6P9TNwckcOTtwD6GxiornnKMhQvqF1TQ23B8g1HHjkcVBc/P2qngAA6rr6eyg0Jobrw\nBK3WVrp3f38accXH02jAbqeOo7KSrlVdTdt5XkBiIpXd1EQd7eHDdIxeT/t40Wu+J47pZ929ooLq\n7OdHHXP8R0tQFZuDqipg0v8a0PirXIQtewnyiknAhu8BKVH5z5WoqgISH54DKSX2PbkSPtcqGDxY\nlcUAap+qKupoKipUi3rYMDX/usOhLrrBMoq/PxF6e94cqOVVV5OMxpkiBw5U14G9kKGlFNDQY9TX\nE6m3tADXX6/GTvcFqXe2pN3cKIyuqIi2RUbSyxkaqkovx4/TC+ztTRJHZGTHVLtMnCwrACqhOxwU\n8fLdd6q0MGAAjQY4Pto1PI4JnevGZdTXUyfX2krXOXiQ6qzXk4UIkFzFso8roUuplsOjh/BwIhqW\noXgCVUODGvYHqKGPLCX5+NB5gYFAjHEJSiJycGKY0h7nHrDFBMfP+diszGu3ltPSgDFjqBzu9Hgp\nvZoauje20nmlJ54oxHHrNhsRNDtPud04pLS+nrTo48epDby8qJ39/akDOXGC/np7A5PXP4KIN8j5\naHtkEepWmBB05xy1N3R3w/GXVyJojgI/P/X5MKGXlFDH1dZGnRvX2c2N6tnSQvUuLKTn5edHo82Y\nGLVzYAOgqkpdQo9z9rNv5GKAJsVo6BGqqiiZl91O2fvCwvqG1DvP7PTwUPNi19TQyxcZSUNeHx8i\ngaIiIpXmZiKd5GQ12ZYrqTOhu+robD2uWkVEwA668HDqHLy9Oy6qzOUAahlC0EiCrVm7nUiXNePQ\nUKozp4/lZe04zp21ZiYTd3eqB8+g5PVW3dyIGBsb1QgYPp87BU9Pahc/P/pbXw+ciMzBxJcoo6Ln\ndAWOdSYkPEGZHisqyPIeM4bqybJXc7MavdPQQPX28KCObsgQGgXV1xPRFRTQ/x4eRHbDh9P1OURT\np6MyDh+mZ8W5bUJCiHABwOd/l6B6YA4cmQqSkkjT9nr/JTimXgn5ah72hSr4Tq8gPfuPmPTtYgBA\n0/9biMhfK+3Pp61NTRNRVqZKQRzm6OFB91dbS8+iqIiej7c3LXzCOYIAau/WVvptHDpE5QpB5YwY\nodb7UoNmsV/GKC0lTd3NDbjpJvqR9wWps1XKC0u4u5Nlx3otzy4MDSUSrK8na6uoSHWaDRtGpOPq\ncOxKR2dS/flnstIBIt+QEHWiEeu0riGRTKTsOOUkYuz4tFjUYb0QRBYtLURsbW2q5cpOViZ01ugD\nA9Xc9BxHzwtSsIXeVQoBDw+6b29vkkbYGWyzOddu3WrC2BcM2Ds5Fynf5OHjW42ozVQwapSazpbX\nfG1ooHtqbFQdkgEBqkOSybGkhJ4PSxzp6dQpcjy/eHYJWkfk4PAQpb3jDd9jQnhRPip/Ow8eHkSY\n1dXAoH0mTH3dgMY3jQgKAnQ33QAJgf1/W4HCQmDyqwZsuGIBJn+7CO6yDTodWexi5UpYxiuorqay\nKirUOPpBg+jevL3V5Q3Ly1VC9/QkKz4+Xg2d5OXzKiupI+Joq+hoMhgCAk6dy/1ChWaxazgliooo\n+sXHh0jdz+/sSZ2jG9gS9vSkF2znTnpROcwwIoKuJyV1LkVFZHl5eRHpREfTS8yzMXnGqOs6oWyR\nVVWRlV5cTB0TjwLi49UJLFwOR82wzu/lReVynhLXpdcOHCAyDAoieYGzDTL5MlieANR0u+Hhamgk\np9rlyT8WiyrfcB4crouXF7VZYCCVyQ5U15wqRwco8HSupvTjlQvhf72CnOFUR54B29xMx9bVqbq7\nlxe1C4dWckoGjjjy8qLwxaQkNU+OTkf3XBWRg/BfGlB9vxGtaQoiD5qQ8xLlWjebaZRltTpHR3cp\nMI83IuAOA1qGZcDbIfDt/SuQ36jAGgB4TFmAq77+C4S3B+RHqyD0gJwzB/bZN+D4CytRnKCgsZHa\nISqKfg+ckpmjhY4d67iASkIC1Z9HiRy1VFCgzk5OSFBXW7oYCb230Ij9MsThw0SGwcHAjTeqERNn\nQ+pMimx5ursTGXLsc3i4msyKtdFjx+hTU0PElJSkTuXnOvCapYCqo7P1vnkz8M039EIPHarKLq4O\nMNbOXbV0noBUVUUEwUvomc3UQRw9quYA55mlnLnRlRS4nhzKyHH33MEx0fA1mNBdwx/d3FTLOCBA\nDX/kVAMWi9rpWCyURiBzYx52zF6InG/zUNmoAH5Ku4ZcU0Ok3thIhA50XKGJMyJyWgZOuuVqpev1\n6iIjRUVAjZ+CAfcbMeZ5A3aOz0XWpjzs+LMRh8MUtB4n4k1MpPYvKgI2NSlIGpuLnC8X46erF2Kj\nlwK9c0JTdoYNiPgN5K23om2CgtpawPL8Cnh9shzWjfmwxVCe+CFDqN5WK91PbS09m/p6eg4JCWou\nH/6d8CSqwsKT0/f6+FwehM7QiP0yw549NKN00CBa9cjd/exIvXNUiqcnbdu/n6xBnY4kkcGDibgA\ndZp4URERSGgoWVO+vqrW7Rrr7qqjA0Req1bR+YGBZNkNGaKG4rk6Q10zMXIagMZGevHNZjVapK6O\nCG/vBrwAACAASURBVL2yUpVCWP/unCmSCZ3DEQcMUMMXOdqFZ3PyVH2uF8tInp5qXndvb9V5zG3Z\n3Ewkxu3a0kIyxxyjAQVPG+F1jYKKfAWD/mhATZ4R5SkK6uvpnNZWIjpvb+pseATAaQpKS9WJRsnJ\najy/Xk/X41HUgDeWADE5qIpUcDRQgde4XIxdsxilqVdiT7iCzM+WwGNCDnymKigvpzBv700mpOcv\nR/yOj7FBWYiRP+ShdLiCqLkK0tIAd/d5aGuj9q4+Qm3cMlSBuJ8cwomD1baoq6M2PH5cjdAZOpRG\nY9yBms3UVo6nl6AoPAcFQxV4ehKZDy81wWttPsSoCzth17mARuyXEbZupUUUoqMp+kWnOztSZxJy\ntdLr6iiMrK6OdO4hQ9QJRTxrkyMveGKJa/ZDznTIFq2nZ8fIhi1biEDsdjVxVHw8ESsTr+vEILtd\njUk3m+n6HM9tsajhgQUFRMrc+XAoIJcDqNYsyyj+/qqfQEoiKQ6745EGdwA8C5YJnck9NJTKbWtT\n11etqVEjTZjgdDogW+aj8hUjRI5CzswrFZS9ZIT9u3ycCFLQ2kr3w34KXovV4aAyy8vVOPeoKIrB\n5xESx66XlKiyU11oDpTnDCj9lRHh3sDIDf+AzcMbIQWbkVFjQvC0HET8yYAN5Ubsj1AwcK8JM96c\nAwmJj361EuUpCtyuVjD77wbYZxnRZicLvaZGlYhYvuKQVIDar6WFCJ1HS4MH06iAJSeO9a+ooN+S\nt28Oxv/NAJ8njPC7jnLQi9vPMGHXRZzVkaE5Ty8DSEnT6TdtIuts5kzafqak7poOgK10gCxeljGi\noujD+bEdDiKOo0fpr68vWdic65yjIVydmq6zDWtr1RmxAQFE6jExZMExWNpwBU955ygUdsCazUQg\nx46pk118fNROii10jlJhzZz3h4SoKXdZ/2dC5+n/rLHzaME1MickhKQwq5WOYUJvbqZ79/RUQ/wG\nDaKVjBhMblVVakgmd4YeHipZu7mpo5ETJ+hafn5kpbv6IOrr1RBTXgC8ro7aKv6YCde+eQN0Dhuk\n3g3bH12JwCAgbr4BG/9kRHk5MPNtA7aPJYlmf8qNOJh1K+QUBWPG0POV602wbcxHyS/noaVFbSN3\nd3qW3PFzmoPSUro3h4PuhUcUgHqvnKyMs0MOGgS4fW9CyuMGHJuZi6R1Z5GwyznD1LbMiMJYBQnF\n/T/jlKE5TzUAIHL55hvKp56aClx1lZo1r7ek3lU6AJZy9uyhlzEggAiXnXSsNx87RpY6r1SflKSG\nMrrmdXHV0QHVSl+/nohmyBAic55o5LoUnauGytEyHBXCKYHZSq+rI19DU5MafeO61J0rGXMmRp2O\nnKk8y5GlnOZmdRTAkTdms1oPX1+1kwoIoLbh0VJrq6qJA0RkbF17etLCFxERasoBHx81JLO5WU21\nKwS1J9+L3U7ncL5znY4ie1JTqf31enoWnFKgvp6+19TQuRxyeXiIgtLIHMQcWYdjty9E61gFx2uA\nXb80InBDPvZOnIfw7FxMXk/O3L23LkJGBlnXej21c22sAnOEApuz43PNZOnlpXa0ZWXqBKTgYOr4\nua35XjkPT3OzOs+hsdFpUAxWEHxDLpKWnrxqU29gHqfg6ONGxN5kQJOSC8cPed2u13qhQiP2SxgO\nB60KtH8/TTSZNEmdct1bUmdL12ZTJRKdjhxahw7RSxcVRZY0J3eSksjl6FGSOthRN2yYutwZE6Dr\nknKM2lrS0gsLyUqNiSFLc8iQjg5IlnkA1VHKFjpLIhwCaLWqTluALFjXcEiOTefoCZ4t6+NDVjZH\nuLDV2dioTjjisEkGR7k4HPT/4MF0Hw0N9Azq6tROJyiIyi4ooOPj4oAJE9REXX5+VGZJCZ3D92S3\nq5OYeLRisahpA+x2KptjwD096ZmUlxOJ1terMe5Wq5pmoaWF6pFYYkJExQ4U/GohIlfk4WdfBXvC\nFcD5iT9mQs6WPPw8fSGyN+Yh8W4FbglKe+fZ2upMMfzvJWgclgPdOJq27+sLwGSCbls+ygzzUFpK\ndWXDIDhY/f20tRGhHz+uhkAmJamLsHCYZk6TCUGrT07T21M0N9OKVwUFgNVbgW5GLjKNNLHqYiJ1\nQCP2SxY2G5FiQQEN40ePPjNSd53hybIED5t5Sra3N+VxYVmFUVNDpF5UROfFxZG17erQZMdo56x9\n27fTgtJspcfFqSskcefiaqUzqTU1qYTCk3SYiDmNQVOTSt4cutjaSuVxugF2gPIkIw7dbG5WRzws\ns3h6qgRmt1MdedTBfoTwcLr+iROqU9VspnPDwtTkYb6+ROiDB9N3TpPAkSGc04Yt36Ag1UnMkTSV\nlVQ/IagjTEykzpZDEzlrJDsn2Rfg4aFq/Z6eQGqFCZOWGvDjfxuxM0RBoJuCm98yoPkWI8qSScee\n/b4B+Q8ZEXqLgqZ9CoLvNqDk70bUZCgY9J8lEEk5qMtS0JKSg+F/NaDl/gWA1QZLeg4G3GvAtvlG\nVByn+46Opnbi2aSc7Itnsfr4kIxksdBoixcgycwEIvabgLtd5BJF6bF8wpPQCgvpeYaHUycRtv7i\ny+rI0DT2SxBtbcAnn5B1N3UqOclYMugNqTOBsAOSo0rKyojUm5uJzGNi6AXjMh0OIvwjR4hEeHEE\nnuXHceUcFcJgR+EXX1CH5O+vEnpEhBpRwpOWXPOWsIXY1KQ6YHmRZIuFCK2oiK7j56fqy0xqTOpM\nnDyZh3V0Jm6OOOFOia1m7gS8vNT8LiEh1DZWK7VZXZ3ayQDUHuwk1Ono2IkT1evpdHRsba16Tb4n\nHg2w/8I16oUTXyUmUgfhGgNeWdlRxuF25BBLDw86NzAQiP1gCQpCcrArlAhNpwOSjpswqDgf266e\nh0k/LYHXFTnwnE654BsbSef225ePst/Mg/sGE5IWEtF7Tlfg89rzCHziQRSM+zWidq/GtvlGNI9W\nEB1NFjdLXnY7jSY4XYGPD5G+3U6E3tpKv420NGozAL12eErZdX751FTqJMQvLqysjgwtV8xlitZW\nmk1aUQFMn05hX70l9c55WNiitttJ1ikuVnOmR0WpsgqfV1hIlnpLi5qsyTW7IU8wYmubNe2dO4E1\na+jljoyk82JjVa2ep7UDqvTBE3caGjpmj2RNvbaW8ry0tNA5AQGqZcplcnIxJhUfHyI3DoVkZzF3\nFlwHJlmWpri8oCBqG09P6lyrqtRYfCZlnU4lrsBAGlENHao6Utnhy/VkKYxHONxuLCNx6l29XnUq\nu6YArqhQc7vzc3W9B29vOt7fX82pUl+vhnv6+qqJzfz8iGgHDVKP5xEPa/t2O5UZsd+EkD8YsH9K\nLhLX5eHosBlI3rwUe29aCN0TizDkvSVoy8iBZbwCKZ0Lk6w2wW9/Pkp/PQ+xsVTWwYPqiIadv66j\nvJ6C8xHt26fmi4mMJELnhU0u5KgYjdgvQzQ2Ut6X+npg1iw1BWtvSL1zOgDWvWtqyEFaX09kHRfX\ncco8O7iOHCFrW68nCyg6WrWIeTELV0IHqEyWjfz8yCE2fLi6opBrJ8CSAa80VFenTjBiy5lJuKRE\n1dJ9fdXUuFyOtzeRJI9K3N3VePTWVtUpyTo3n8cWPaCGaAJEckOG0OiiuJhGLSy3sLXt5kadEE+g\niY4mDvH3V3V3TlvA7cPk65qHhqN42EpvayPJKDaWnktLC12DI0w4tw13op0dxGz9sxOVr8eLhPAC\nIAMHdoyN59Wh+Plz5zNgANVt504gcekjGL9uMfaMnIv4g6tRd1suwj/OQ93rRkgJBN1jwN5HjTgw\nmEImxzxvQOUrRpjHKThwgOrk7U0jkKSkrhe6Ph0cDjI29u+n37JeT0bJ8OHq7/higEbslxlqa4nU\nzWZg9mz60faG1Dk0j0P1OIeKw0HDX3Z+xsQQGbkuaAAQeRw5QoTm40PEz1EvPF2eSYl/cg4HDYXX\nrCHSGTyYrLHYWFU35tBD11SxTFq8shDr9W1tdA/19eRUYxLn+GhOhcux5EyYUhIpMlHxNH4etbCV\n7rrYBUsuvMxbZCS1DaeXbWxU9fqWFpVIy8qojOBg8kukpND36mqyIF07Hn4mHGnDDl4m24oK1V8Q\nE0Oky50wR5hwtA7QcaFwT081JJKdlNyZsf+BRwqentTJhobSaITbjucucNw5y1cWCy1wUVpKk6pu\nfN+AkrQZSPr5HTQ88hya734A7htMCM41YN9jRhwtBK583YADSi7Sf8xD5Suk6XM6gLg4IuDOa5z2\nBLx+7pEj1GF5etKzSkqiZ3CxEDpDC3e8jFBZSaQuJWVoHDiwd6TeOR0AW+mNjbTuY2UlkXRcHJXd\n1fJkhw8TofBxPj7qikBM0oBK6g0NZKUfOaLGVvOCCWzhs2XJ+ViYtNmi5cgYHv43N5O8UV5O1/D3\np+ubzSqZMWHx+VxHjprhe2KC53t1XUCDY9d5oemEBNq/bRtZ3O7u1LFy9kYh1DVL/f2po8nKonM5\nVK++XnWUuoaVAqpPgWUjDkvk/Cycv7yxUZV+mproXO58uP5snXOMPkcOtbWp+jq3Acfbh4WpbcnP\n0teXOgLXtrZayeldVkb7oo+YcPOHBuxfbERsdT7qr3kO/5+9L42O7KyuPVeqUqlmSaXSPLd6ntwe\nMQ4YYTA2nm1sY4fRGD/MygsvITFJjOMGQkhghSQv4ZlAmEIIYEgIJgw2hsYY8NAeut2zujXPU2ms\nUs33/djePlfquSW1pnvW0lK3VKq691bd/Z1vn3328f/TZyS9ZYc0VzfJ6D2Piu/x3dJ29QPSce39\nsuP7n5K2dz0kzxlN4pjQndtsH/4zCSpmWlrwb07fqq9XuedKDhvYl3n09Ij893/jprztNnxozxTU\nmeWygGgdEdfRgW1rKoVssK4ON681UincOC0tOny6rg4gwwIlX9uape/fDxlmKgXqYvNm7AKshloE\nFvK21oEXpBREcNPSMZEDFhwOZJfJJAAmLw/XgZr5VEpBTgQgyOejKsTKozNL5u8dDoAyF7CDBwFw\ndA/MZlWPHY0CPL1egGRlJeaFulwzvc/ZkMXCqXXkHDPodFrtAFwuvJbfr0XFoSEFdB4rJYycF2qV\nanIBIwXFYrBp6rBpv1/fS2rbUymdj+rx4HkPH8YCTyVPICByqbFbxr/0qITf0CRRo0lyckR6S3dI\n9Lu75dnXN0ludZOUX9okN0ztksqfPyIHbntIGn/4iGy9DBYE5+LAODGhdSAupJs2YaHlrmw1xCo5\nzZUZ7e3oxvT5AOqBwJmDunX2pVVDPj0N4GV36MaN4IytNwRbupubcQzkK6uq1EPcOniCMTWFqUbH\njuG5N2+eOdaMxVCrz8vkpPqIM/PMzdUiYzSKLDUSwWv4/QBhygHdbhwPQZ7cNHl01geobiEVJaJ8\nPq+XdYRcWRlqDr29eI7KSrw2vdrpEulyYZfj8eB8165Fdr5vH+gkK+3B94TZNY/f7Z4pd6TZGIuz\npFwIgnSQZCGX50pNP2khEQU7Lmj5+fibYFB3OF6v1jXoUEm/eM6kpRrJ40FWvGWLiPvWByRjiOTm\n4HPS3Cwylm6SnDc2SWUpsvGcp3ZJ+YN3yG//z6PieGuTZD0DsunBm8XY/N9avDyDwiUHaPT36/u0\ndi2ufWHhTEfO1RA2sC/TOHJE5Gc/QxZ4660q1TsdqFtb4FlAJAj39QGsYjH1YLFmTQRqujb29mr3\nXzgMEGARTkRB3TTxvD/9KYClqgpugjU1qm4h/UAenbTL1JSCKo8/Gp1paMWslLuVVArHxc5Ugh4z\nTgI6OWuqOMhlW+ko0hQ+HwCruhpg9otf4HhDIShQaJcQj+O4s1mdPFRYiEHSgQAWtfZ25eapmWfz\nFGmOnByliLq68Pv8fFxnAj0zdF5vgrNh4Frk5eHcredHesmqDmLWTkBnh2sgoHw+JZJ0uezrU02+\ntQFryxY1FDMM7PyOHcPxGgaAdu1anNfRoyKNz+6Ww594VDbe1QTfndQ7xXjsuyLf+c7xUsMTfJb7\n+rBgcIA3xyxywIm1r+KsYwmrY04XNrAvw9i3D807FRVwaHS5Tg/qBE5ax3Lrbxi4uQ8fBi3A6Tkc\nRyeiwJFOA2Sam9Xki80vlDBaM3TD0Cz96FEc15YtevOLzFSZOJ04lqkpVWawMJrJyGsmV2Nj2jUp\nAoBkMZMZMLNQgn5eni5otA9gZsvrw51LXh7AjtOG2OQzNCTy29/id4EAFrR4HMA1OYnjnp4GDVRY\niOOpq8P5jo9jsDYnFBUVqd6eqhwWNPmdY+xME4DlduM9pkcKrx8XBRFdXGMxtSngAmaaOG760FMb\nHwgA0Mm/+/0K/GNjOA5KVYeHdVA2dxbFxTjHkhI8JjcXxfbWVvy9CH5XX4/noX97UZFI0d88AJ8X\n1mHe3CTDX/6BBO69Q0aNUin9z+M9XzIZPMfRo/ic5OaqWsfvx+fyXAqtx8Ull8zUr59ikVlqYQP7\nMovdu0V+8xsAxvXXKwd9KlC3ZumzHRNHRrBQjI2BXmhs1FFuVn4zHseN1Nys3aBr1+o23Sp7ZNPM\n/v3I0mk3sGMHvlvHlvGYOP9zdFTpAoI6jaPGx3G85Nrp3SKioMVB0WyJ52vF40rxkJax2hBYpY+T\nk6pvbmjA8bzwAn7udoNS8XjUS54LkceDZjCOjNu6FaB35AhqIamUFiCtfuukXCgHTSbx+Hhc6wM0\nvmL2zWIys3y/XwF9bEypFjZxeTzKj3OOq8eD95p2BZytGgioMRh3duPjahLGmkw4DP66slKThNZW\n9UPPycHz19Vplk/dPmfZUocvgh3A/v0i/dNNsuPN98vWf5np+ZJK4fnZpJSfr9OyeC70Zz8uziX7\nbmqSzLcfFfO2O6T/lvul6rE5GIud57CBfZmEaSJb3L0bHO8112jT0MlAneoPa6MRb8BMRlUDhgGu\nu7Z2JpXC55iYwA3X2YmbacMGpVEI6taFIBoF988s/eKLAXIsvhK0qTCZngZwMAtlhk63P/qnT0zg\nS0Q9XkhduN3a6k+6wcrZcwFkpimigE6jL+4SQiFk6Q6H0giU3ZWWImvl0IfRUbzupk0AxEgEALNt\nG36/e7dmlVZ1x/S0NivxyzC00YiSSvqjsz7ABXRiQukaUirk4AnmlJqSpmOdIj8fx+j3a9G8oACL\n0NSUjjBkzWVwEK/HnwUCqjAh3UXrCL4/RUXYUXq9anHg9aLprLZWLRdME4C+b582DF04vks2/wbt\n/OYjj0jy9U3SXNkkbW3qUNnQoDs1mp+dstB6ltn31BSK4scGm2Tj790vO776Kck++JDkLANQF7GB\nfVlENgt3w337AJBvfrNSGPQNnw3qVsnebD+WiQmYHY2MAMTYDGQFZ8rhenvBj4+M4AbaulX9SciH\nW5Uv+/eD+4/HkU1deim+cxFilkybXvLo1sYZFkapV5+aAjDE43gegrrTqX4vU1OqSefCJaLeMsz6\n+dpeL/6WHDwHJtfUIKPs6tKss6IC5xCLAfToKR6PY5ezYweu0+ioThLigpBIqEzS2pkporQIZ6EO\nD2sGT+96HjOv39QUjsnvV5ULOX0+jnQOlTy0K87NBXgHAvre0TY3kwE4R6P4m3gc5zg5qTJQ1lPW\nrNFxdUeP4lpxlxMI4PwDAXxmhoa0cMxuXPYEMEMfGsJ71tgosmNsl7j/6A4xv/uoTF7SJL2VTVJ3\n5x0y+sePiv+NTa9l55RmnvGoO0v23XHt/dLwxCNinCD7HhgAoHd24vzW9+6Srb95RMyPPyQ5X3xE\n5KomO2O3Y+6RyQAom5uRdFxxhQIXm0KsoG7N0inTsw5ebm0FNZDJ6E1q7Qa1PkdLC143kdAhwMz6\nCQyzs/TmZhzPpZeClqBMzwrqqZRywNapQpwcxN/RW4XAxOzT6dRpS4mEWs1auWRyrPTvZrGUbfO0\nrZ2exjWqqwO1QFtYNi1VVuJc+/oAtKSC3G6Rq67CMbS04P8XXaTaf4IhF1Urb8+5ppQ3DgzMvBbM\n2K27Gi4G1tF1pJPocklJIusdU1N6HH4/FmQWE10uFBnz83FudKlMp3VnxMYqpxPvP0cXptMqb+Rn\n0O/H9SoowELT1aWj6fgZI6D39CBZIKA3NMDIy+sVMf92t4x/+VE56G6Svp+LmMVNkvqrR2VDx26Z\nqG56rch7NlLIiQm8XudIk2y88n7Z9h+fksQDD4nLQvFQ3stjqqrCzqHoY3eI/OerC8Cbm5aMZ8zp\nwu48XcKRSqHw2N4Oc6hLLsHPTwbq5GzZHk/TLhGAwN69KHwFAgBpFrsYBInxcQB0ZyeAZe1a1Znz\nOZndM0snl15ZKXL55fjOc+DjWACloyB9SGh/G4sBjOiRwrFnVg6Z8jvy6FzArIDODtJodOYkJipF\nOIOUGWxRkQ6AzmS0iSgQUM8UOiJms9i1XHihTooqL8eOZ3BQXQmZQXOEG3clPp/+jD4u5Mr5d7wu\nXGDpu8JdDncjvHUJ5vR9t/rD+3zIbAnoubk43mAQ58SdB7l3jtajz31FBXZ0paU4vqNH8RmKxZTK\nCgTwFYvhvXU4AIwNDSp9pf/MgQO4ToYBSuaCC3TnNDCA5x8awt+QP+f1CAbxdabdoj09AOuBAbUg\nvvhzd0jOh+8X+eIjEv8GJj9Zu1LXrMH76/XKklTF2JYCyzwSCTQe9fZiOMbWrfj5iUCd9IV17qi1\n27O7W7PIujotejJIuySTuPmOHsXNEAiAO6bW2bpQUCb4wx/i8W43btIdO5QbJrjRv2V8XKkFAjHb\n0aentTsznVbddV4egJae41TaWMFHRHcmzPoJkm63FgSj0ZkccDCoKhwaYbF1nn7ukYg2BZWWoraR\nTOJ6UvViXUSoxPF68cXzI6/tcuFnVJZYTcusqiJeP15zZtMiSstw0hIbiHh+LIxS6cKdTFERzoEL\nFRfGZFIzdEpOS0qQbVdW4vfHjunIPKdTX5c9AqRiysrw+SKg8zN15AjOOScHScK2bXg/s1l8Po8e\nxXG5XFgUQiH9PBPQz6RbNJ3GsfL56Fm0PbJLCu67QzLfflRGtjVJ33/skvV/eYfs+hAcJjduBP+/\n1BuYbGBfxhGLwSJgZARAsn49fn4iUGeWThCwTh+iZ0dnpw4urqw8vhuU7fRDQ+pXXlKCx3s8M3Xd\nBOQDB2CvS8XLG96gXC3li2y4mZxUG1py4NPTOkGIGmmeIyV+fv/MVnY+F294q5EXKQwWirkgFBXh\nNaamNBsnP0yFCYuHRUW4nuPjak8wMgLQvPJKXI/9+wFEXi8yYaukkFk5h0RQ6hcKacs9JxZZO2ip\nnSfFxvZ+w5iZ/VttFjweHIPHo81QpG7o58KFguZk0Shem37wnM/K+oPDodOtKitxfMeOAZi58JDu\n4fnQMqGkBNkuLSE4X7alBedMeoM1mnQaO9GWFi2s1tWp14yI0kdnAraTk8jOOzpU89/QoPRh5jOf\nlaG6S+SVUJMMDuK6rO/dJesnd0vBpx846w7Xs455yv5tr5hlGhMTAPXJSZh51dXh57NBXUS30AQ4\n3gD0mt67FzcNzbWslgBWXTvlda2teL76etykVj6ddEcshp3EsWN4zde/HtwyszMeK296UilcTJhR\nU4/Owh/NvaJRBRhm6um0+ozzufLzVc0yNqb6fIcDwB0KqRVBIgHgCAZn0iJsHgoGVbPNAck9Pfj7\nTZuwY5qexojB6Wn1nqfrIGsC7Nqkwsfnw2LncCBb7erSxcQK1lwsk0ml0Jix8//0xaHOnGqU4WG9\n7uwnYP9BXh7e+9xcgCgpKKvp1/S0UlKNjQDfRAIL2Oio7mSooPF6cfxUA9Hpk7s6zm7t6MBOxzTx\nnFu24DHxOJKN9nb8u7AQr+v342/jcaWPTufiyE5Y8v2ZDK7/tm04Ju7ujh0Tadv6gIyOiuQO4/O9\naZNIKNQkIueJK39VlRP54qNSdNvCa+JtYF9CEYmI/Od/4ka99VblqWeDunXuqDVLJ4996BAUDk4n\nPuS1tTOdFa269kRCPUucTmRU5eUzB2sYhsjOnbAtoOKlpgZZbHGx0gkEJ3Zfiszk/wncnHJEBYjD\nIa9lUcGgytdEACC05RVRPba1+ElflcJCADp/F4/rIsFBFFwEKTEMBnFMAwN4rvZ2PK6oCLulqirs\nYo4cwesw2yevTd6dYG/1+A4GNWsdH1fLgpycmTNWuTjTKkEEx0vwprcNfVtME58VSiB9Pt25UL4Y\nCuFnVKYQ0BMJVQGJ6GzRigq8d7Rmpi99MKjX3TRnNkw1NuL95w5sbAyLV38/jrusTH3Op6ZgktbV\npbYI27fjGlL1xF3Q6dr/OUOXxnMiWEBZN8pk1GWTdgf5+bgX1q8/hdZ9IaOpSdo++6iUvOcOGXry\nfgl/f2E18TawL5EYGMCADMPAQh4O4+dWUM/PV5BjUwuLbLzp9uwBmJSUIEvijWnl0VlwnJ7GIjA4\niMexI5TSPFIv0ajIJz+pr3nlleDS2Tkporz4+LgeHwujzAxjsZm0i8+nDT55eTNtCSiDZCMS9ebU\nVpNaYadpSQl+z11CTg7OiXSGiPqmOBza+UoQ6unBvx0O0EqXX47XefppXB+nE3/D7xMTOBeXC//n\n6xYUKC+9d69m1KS9eF1ycxW0qYbhjoO9BMzEg0GAutOp7pZW/T53MLQB8HjwuI4OVdNwrB9nsgaD\nOiglGkXWSzUOn5dKJFI26fSrk5Xqcb1zctRDvr9fXptbShqPfP5zz+H3pgmwr6/HOU5M6E6Hu42T\nBXdabIDiZ4aWvnSb7OrC7/v69Hhf/3q85rn4uM9XDA6KfLuvSa598/2y44ufmtOw7TMJG9iXQHR3\nowjpciErtlqn8sa0Dkq2TiBiBt7aipvTMLDNZIONyPGNSk4nAGffPtwglZW4EenPTVCnlvprX8Pf\n1daClggE1ECMPifMkNndSX046aLBQeWcmf2R7qCWOj8f59jfrxp8n095fnafknZxuwEi5LqHad6O\nqQAAIABJREFUhrRgSmBk+z4XQC4Q3DFQm55IAOje9jY8X2enyEsv4RwCARwHqZzeXpwH/z84iOOr\nr8fjDh/WzlFrCSs3V3dczN7ZpctFk3QGuXHKOmMxLT6SbqEqxWrUxdoAF09rgZrPWVODr/Fx0CKk\ny3itWXdIp3UB5ZDpkhKl5CYmcO4E0VBIAX14GA11VLhUVclrPvvcafG9od7+REEarqUF50Xfnm3b\n9PmmplRPPzSEvyst1Tm8i+25Ho+LfPe7Io1du2T7M+c+bPtswi6eLnK0tkLSGAyCfiEPTlCn/nr2\n4Gdm4LEYMsPBQW0goiWAlUfn3+fm4iY5cgS/X7duphmXtTP1j/5I5J//+fhj/pM/EfnoR1XpQmCg\nz3ciocOkR0aQldM50O1WDxSHAzcgbQFGRtQKwKr2YLMSwZ6j68JhpRZme6e73Qoa0ShAJBjUzNo0\nkdmNjOCaX3kldiyJBK7nsWN4Tqs7YCSiOnS3W2WZxcUAPGaL0ah61Ijg/aOen18MdqQ6nboIkqun\nv00kosVxZp0+Hx7Dv2WDE217udOiWoeAXlaGa0DPdMoIOTyDihtSXB4PFvSyMn1OvhYN2IJBgGhZ\nGX527BgWTk6IYp2Iih3WNjyek2vREwmdmzs4iJ8VFyNhKS9Xvf3gIK47X6+2Fp/pUOgcbsYFCNMU\n+fa3RdI/3yW//9gdkvv9uc1RtVUxyyAOH4YveXExQJ2ZC20CUiltBGIhU0SzwJ4eZN3pNLKX9et1\nUIN1oDN13IkEONT2drXN5Vgw2sSK4CYh10qVBJt36GfOIRIieozUQnPb39+vbeg+H46lvx+PCwRU\noWN1cbQC+uxGJpdLeXRmjVSWsL6Qnw8wDgRwHnT8ozWBCICyrQ2vvWmTyJvehL8bHBR5/nn83u8H\ngJBmIf1BLxfytuXlShFwN8EM0erUSLki6SO+p6QQ6AtTWIjPATNVqlFIi3k8AFAWMdkhyoIwqSqr\njp2ds6OjoPzoKc+Fjxw/AT2dxutUVuJvRbS5KhLRSU9+PzL0igrscKhwoXVvVZXaH1hthE/WLUpb\nh+5u0Ehc/OnZEwzq7pADVaJRHZvX2Hj8ZK/Fjl27RH79a5F7hj8r1beeP1WMDeyLFHv3wiagqgrq\nFxaMrLI9toaTc7XKE195BR9urxdZemmpbuupaaefuMOBG/Lll/E9HMbfkNIh0FAD3NEBkK+vx/Om\nUlgAOjuP59Gt1q/cHbCTkkA02yWwuhqAOTWlygu2yXMB4MJBIAwGVWFCEyteC2a5dPgj9UDrATYe\nZTI62Lq0FPdYZSVe/+BB1aZXVOh505aWyiAWhYuK8L2nR3l0asC5AHCwB5uKuBuyTm0i1UbAE9Gm\nISsl5nLhuCgVpN2C1S4glVKA5wg4AjrpEmsrPusXVCqxGM+FgHUY7szoWePzIYkoK0OSQIULh3iX\nlSmgsxGMvQQnAnQOHW9rA801Pa07hZoa3ZFMTOD3bDjy+3EcdXWLy5+fLA4fBgVzwQUiN9545p2y\npwpb7rhEwzSRFf7ud8hCrrtOufB0GgDIjIkDIZiRGgayyj178EGvqQF9wGHJ5NGtahkRADUblNas\nQWZDrxfeEENDKKROTQEcGxvx2hzk/Ad/gNcmoFJqyAHG6TR+TxlcXp6CdHc3AL+gAKDBn/G52OZP\nedr4uC5MwSBoDo9Hm5a4eJHeqa7G81ITz4UgFsNz5eSof7jHg2Lajh264LC45/Xi+rA7lTsma3s+\naZiRER1wwfOg3p/6cUobmZ1zOIXVrIzKExZGJyf1ebiQl5fjvWa2OjKiAM7PB5UsXAAqKvC4/fu1\nc7W4GNeZCz8zZO6GSktVHsnFMxrFdWNmfMEFeD/a27GrS6VELnjis+JrukT8lzeJab66w/rFLsnf\nt1vcH3tAAoETO45OT+Nz19am6qJAAGDN+a1UUPX347F0lVy/Hse62Pz5yWJ4GGKIigrc4wuuk58V\nNrCfxzBNbMteegmV/Le9TT+YiYSCIqfXMFsTwYf+4EFs+V0uyGKtbftWHp1/m0oha2huxs+3b0c2\nlZurmXoigd/39ABMoO/VwiJpl7vvBpBy98CiGhuKOCotNxfg4XCo1Su7DT0efODJ37rdOj0pHteC\nJk3NSku1EYZ/Q4VNXh52O7W1+H0kgsWFmXAkorREczOuY0ODyOteB4DLZvHzl1/G31VV4SakTwrn\ni1L1YXWI7OxUeoHgyp0Ri7YEdMoq6T5pHWzBxqWJCfUosQJ6KIRjzmYB0iMjCuAsUFOtwgy9vBzn\n/soramFQUIDXIY1m/TunE39DkKQlRTyugzTy87HDKyxEknDw4EyFS6H3EnG+6w4Zz3tUxnY0Sf4z\nu6T0D+8Q8zuPSm7BzHsgk8Fz9vWp0VpuLhaL6mocK3dKkYgW3VmcXrtWqbilGokEMnWHAzT6YnSz\nzvklDcOoFpF/E5FSETFF5Eumaf7jXJ93pUU2i+EYBw4AYJualF5hKzinADHjY5Y+Pi7y4ot4THk5\nbjKqF3gjWlUVInjOvXsB2H4/VAT02eAWv68PRdRYTG9Sw1AqiP4t3NoTKAkOVGpQrUMb1XQaGXks\nplz11BSOhU03lLelUrhxqeJwu5GRBYO6CzFNlThaOVdeG2tBk5N6RHBuExMAgm3bUCtg6/0LL+AY\n3W4sZiJYnOgYSe8SLpiUYI6NKe1kNVljoZpdty6XArqIqofoIR8M4typDLJaQHDwstOpGfrIiL7P\nzKhJ15WX4/0bHcXnSwTnEArhuSin5CLNBZh/53Tqe0qb4EgEz71xI461owM7upwcLIJ1dUodTVzU\nJMl/eFSK33+HOD9wv3j+7RExvqdFQb6P1LmTG3e58Dy0943H9Vy5G8rPV5UXX28ph2migW9kROTd\n71a58fmO+VhL0iLyUdM0XzIMwy8iLxqG8XPTNA/Ow3OviMhk0H5/7JjIZZdBI82Weyo+6Phnbbs3\nTWSVR47g59u3q8LAOkrN6rNuGLhxXn5ZF4LNm7U46nQCrGiOlJ8POqegQJUnLDQyo7MqNkiDDAwA\n6Pj6BLipqZlzQNl8ZKVWSNGw6MeGH/q0iGjTkbXZqbRUB0iPjWnDETNr7ih6egDaLhfOjU0yhoFt\n/8sv41yZqY6NaaHR7Ub2zGNm8xc9xSkZ5fkSNHm8pFtIg1Hrbd2hiOD5k0nN9mlgVlWFa0A+eXhY\n32d295IiqqhApjs5iSyaVEZJiQK6aeriyQJmOIy/pUUB6xR9fXg9pxMLi8+H3Ulzs2rGa2vVDXRq\nCq89Pi7ybLRJ1m+/X678vGq0qewaGcH7weJ7fj6en3QLP0/M0NNpvPZFF+Hzvpzmlf7mN7i3rr4a\nidJixZyB3TTNPhHpe/Xfk4ZhHBKRShGxgV1wwzz2GG6QN74RH1YqVgiW1CJbB1ZEo8jSh4dxo+/Y\noTQDuwZne8OYJpQJ+/fj5tiwATejiGbpPT24UVMpZGu1tQqy8biqU2gDSy0zNesjIzgmFgM5hs4w\n8NyTkwC2UEg9SOhtwoWLTTYsmhYXq5yOz0sKJJPBc61bh+yfOm0+JwtvHKtHTrmyUodB+Hw4hz17\nkHly/B9b8mnQNT2NRZSGVtTV03SMNgSkVQjo5MTZFUsqhSqT3FyVJlobtLgYW8E2ncYx0nDLMLQI\nG4spbVFYiN9TtmrtBeDnIZ3WDlWHA9e5omKmcoq+6NSb02K3qwvnzYHmnHzFhYrvX1cX6kW1rbvk\nin3wLZdHHpGJC5ukb0OT9PQoLRYMYjFlt7K1aY1UVFER6Barp9FyiaNHIYjYuhWU32LGvLI/hmHU\nicgOEXnuBL+7T0TuExGpqamZz5ddshGPY1vW348VfPNmLXBy286OQbbui6AwtW8fbr5Nm1DIZKHS\n2p1oldUlk/gbeoPv2KFcJA20ODDD4wHoeb06SIE3KrNOEe14Jbj39qoNALswXS48R3e3grBhKCVC\n/TjVLLQIoAyRYEQ6gvREOq2FtFAIf0OpHq0OWBjNydE5rBzFxjb5dBp1iVdewfmEQgAX/m1xMa7X\nsWM4P2bW2SyOlcVRniu7aUW0AE0tuchMYzYRXeToUc6FgDsoUlUeD86vt1cVRVxYSeFwRxONAvzZ\nOFRero6ezIBZYOU5lpbOHOxsGPhc9vfj3zU1uK5srAoGsUMsL9eFm8oUnv9zz+G6XxbbJVf/4A5J\nfutRGbqgSaaqm6T2vXdI//95VCYuaJKyMj1Hq4cQ+XPSO8uBPz9ZRCLweCotFbnhhsU/h3mTOxqG\n4RORp0Tk06Zp/tepHrsa5I7RKN7oSETk7W8H0NCfRUT5Uq9X9ePxOLLK3l7cWDt2qNudVV1BHp0f\nnslJZPcDAwA2Wudy+97dDcDPZAB2VVWqdSbnKqLcPkGJxcq+vuN9VghOdEAklUTXQE7T8XhUnUIu\n3utVv3MroJN24KQeAvPYGAAlLw+/o+47N1fNtdxunFd1tdI1tCDu7MTrVlfjO8erFRXh71tbNaul\n3p9+Kjxn8tAi2syVn6/OkgR2Olrm5QFQqRYircO2eapQQiEsIDTpIqCTIqFlQkGBAjYXPS6KfC9o\nkcuxeZSI0huFiwkVQqapRdP+fjxvOIyFsbhYkw3SYewziETUM+jKK0Uu/uVnZWL9JdJa2/Sa9XLF\nkV1S1bdbMh994LX3l/r/wUF8dzrxWo2Ny4M/P1kkkyJf+Qqu+333aef4QsR51bEbhuEUkf8RkcdN\n0/z86R6/0oF9fBxmXrEYBk6Xlys3S70xW7iZdff1gftNJLAdXr9e285FVBctMpN66euDymZ6GrTK\nhg0K6PE4Cl6jo8gM6ZcxMYEby+qIaB3iwB3AwIDSIaQaCK6xmHZnUs5mpXACAR3bZuWYQyGAOkGL\nDn2UEjY06JBjzjllkfJLXxK580681uQkXt80cX3Ly7UQNzmJ69LcjNcPBABY09Pa5BSPA9BHRvT6\niuh1yWa1dZ8+Lmz0Yk2DDUEEVS6IoRB+NjSkVAxtltmkU16Oa9jeDjAW0R0BuXfSV1RMpdO6y6Gs\nkgOqh4bUsiEQ0BF4PD46TLKATbO04eFZCpdCddC0Wjjw/f/tb5FEFBfLayMayY+THmO3LgvK2Sx+\nPzSE5/J48Bmvr19e/PmJwjRxrx84IPL7v49FaiHjvOnYDcMwROQrInLoTEB9pcfICN7odFrk5pvx\nAbe6GDLTtPqpv/IKttZuN7g5/o3ITB7dur1js82hQ/j/tm0qfxRBltrWhg9eTY0W2TixR0QdBenH\nzi334KA+jqZXVg65rU1ljIGAFuk4TYe6ajYyEUxLS/XYc3PVQsDhwA1RXQ0wnZzU7kaPR829vvIV\nkXe8A+c9NaWcMS1nRbA76elBFp9O47yZhRPoOjvxGJ6fy6UZOhcx6zBscuhWQCfwc1fDgl9BAa7d\n2NhM6ScXJ3ZytraqRNQqTxXRRq1EQk3KuDgx6yd9NTCgi5PHozshHrPDgcd0d6splmEAaHNzcc3r\n63UYNBd4WvyS/x8dFfnmN/F961YswL292h3KYdhU+9BLaGgIX5Txbt+OndVy489PFs88A1C/6qqF\nB/Wzifng2K8QkXeLyD7DMPa8+rO/ME3zJ/Pw3Msq+vvRlJCbi25Saoc573F29haJQHYXjeLDvnGj\nap2tPPpsvi6RQHbf0QEAuOAClVVFoyiojY0BTGtq8JyUmFm7KEWU72Z3KgHVMHD8BPRAQGWXPCeC\nHOmCvDzdDdBbnBk6i4q5udoxyRFqNTVaGO7rUylccbFK4AgEe/bguDZsAJhUV+M1OGaOjSwsFlo9\ncMbGcH4sBuflaYGR9JGV6uJiRbqDnb1caK3dpqEQ3t+2Nh3owSIrPXHy8pTX5g6FAC2iA7YTCc2k\n/X48N3cPXi9+zvNkMxsLqvzc0Oitq0uz5Lw8XPe8PIBQTY1SdrQU4GKbm6uv++tfI1P3eKDqEsHC\n5HQi0y8u1mtJOay1IMqpSrT4XSnR1gYJ88aNmEW8lMK2FJin6OyE+iU/H5w6hy6zYEXvbPKdhw6p\njGzzZp3tyMzOWky1xtgY7CVGRnDDXHCBctTd3biRDQOASXtZqykV5ZSkXHhsVLTQhoASRjYQNTfr\nrEpmd2yAITVDUywWFMkBi+C1KY2jsqOuTj3HaeGazeprTk6KfP3rIt/4xvHX4d57RT79afXeZtPL\n5OTMwRBO58yhHlZvGWbIpK64eHAxoKSRoMcFgqomFoBFlE7iuDi+l6wzjI7iiwVpmm1ZLXfZFMZF\nlTNarfNMe3tVKulyIZvmyD0+dmQEiz53iiLa5Vpfj52ddRfIObesowSDWsx97DFcX0or2dPA1+Vn\nKTdXJzSxoaimRodorLQYGwM16POJfOADMwvTCxm2V8x5jJYWkR//GDfx1Vdrow45ZOuQjGgUwDw2\nhptj0yblzq12vLPDNAHaL70EQFq7Fl/kL2nAVFAAwGf3HhUdfA5mh1b98MiIZqJWQPd61WqAxT9K\n5dxuHSptHQ7t8ej0IwIli2+Us9XX6+JFpUwyievn9SqvS++RwkKc37p1Ik89hfMrKFAOnpx6IqHX\nnudKN0K6TVqHXVh3QwRwAi0bgXitmM1Tour16qANtttTzsmGJq9XlSQ0IOOCyOdzu1X6ymEaHNyd\nl4dr4nKpYoZdt+EwMmBy/rQiprsk32/SZQ0NOkCFgE7KbGpKaz5eL67jc8+JPPusKlaKivDehsM4\nPqvUk53HrGGQPz9fYHe+I5WClXUkIvLBD55fJ0nbK+Y8xM6daBmmQ+PVVysfzYyMoO52Y/vKzsAN\nG5QTJ2CejHfMZPB3R47gRrr4YmRP8Ti2g/39OtXd6jVODTQli8w66SFutQEgf+7341ysgyJEZhb/\n6OtCewD+vqBAP+RU13B4NGkhcs7JpG77XS6ADlUfTicyvbIy/O2hQ3oc9fXqNUOOmR7czJ7pKUOp\noLVbVkRBm8BHO2PrkAsr4HNU3dSUuk+yDuBw4DipeeeiR36ZuyXuEvgaeXm64Dkc6ofDBICZ/vAw\nGl7YdVtaqkNFyLVPTOisWhbbnU48rr4eYGztkRBR6wS+dz4fjr+1FSMAh4YA8vX1+DxQFkrbYXb9\nDgzg/34/kpSqqjMbOr1cwzSRxPX1idx119KxB54dNrDPIT7xCdUhv+1tqu0WmQnqhoEiy+AgHrNp\nkw5oZnZ4spieBg/f0wNw3LEDN2JfH0B9ehqZIgcxky+2Fvkox2N2PzCAY6OUj92SoRD+3d0NMOHf\nUSbHx5JHF9HxcgQPdqbSACsQAKAHArrYRSKq1Q6Hlf9OpQBc1dXazHP0qLpLfuQjeBwdETs6VAaZ\nl6dZOVvYKYsk2FF1wi5RFheZYbOYLKI0Du0MuKBxPqwIjqmgQBttuKDzdWlUZp1dSo9169Qo2kPQ\nhz0Q0HMndRUOA6iZzdOnfv9+PNY6aaq8HBk6KS1y6CJKh83eVfT0YAHdswfnXF0N7pi2zlwY2YU7\nMIDnKynBzpGdvSs9du9GwnPlldhBLtWwgf0cwjRRTBKBxPCaa2bqcK2gPjIC1Usqhcc2NOi099OZ\nAw0PwwlychLguH07nveVV7T1m1a25KfJFbNTlDsB0hVs4acGm3xpIABq45VXdI4ki3D0PInFVP9M\nB0UqNazZMVUcFRXanETXP3a20saV9rweDwCCYHT4MAAkLw87kWwWcjICdkcHvtOLhYoWEe2g5RxW\nyv343jFrZgZPwLd2gpJXF9ECJ9vd6ThJGkpEFwwOGeEiw3oDG7RYyGRTEa0WQiEs3GNjAFdKF0Mh\nvMfBIM6VC9iBAzge8uheLz5fdXXqd05AZ73CqkV3u/G3PT24znxNKrN4zVkHENGehdxcvFZjo44Y\nXA3R0YHd+bp1APalHDawn2Xs3IlMnXH77fj+8MP4HUE9ncb2uKcHwHDRRcdPkT9ZmCa2xHv34uba\ntg3A3tWFn3M8GAcrT0/P5IutRbloFIBOV0C2xHPgMbs6Dx1Cpm7N/BwO7RbklpucrTXTpAqGahBy\n4Ny9WEfn+XwAqnQaixOdH8Nhna7U3IznCwa1O5Yg2dkpr83WZGcmC8LJpPq5kGaxerbw/2ylJ4Bz\n8bNSMrwO2SwAjxbBNTX4Pc3AWJfg+8BxgFQKWTN4rxeLHZ9fRLtJp6fROUz72qIiVbpQ0UILge5u\n5doLCo73cLECejSqNQwuaFyQhofx+WxtxfGvXw+aj3QLfYVoL0BTsIaGlcufnywmJkS+9z1c71tu\nWfq7E7t4eo7R3g7+0Xr5COrDwwDKaBQ38saNymGf7gORTiN7ojXARRfhhmIGS105s0j6qxDcrHp5\nFkbZQcksnV2LhgGQ6O1VLTSzeD4/C48EqqIi1SrTYVAEoBUO6xg5Ai1BjbQLrQAyGR38TP6+pUXr\nBaGQgiXpi0OHAKikNQhiXFxmF0atBVFm6NTcW73TSbuQd+f7QA92Gm7RfGxyUrNkXmu6TFpdNrl7\nCQbVo4VjBINB7UxtbZ25Gygrw/nThyeZxOets1MdD0MhFCk5iEJkJqDTm561FiqnolG1/x0YwOt6\nPBjgzd0VqTFaSPh82E1VV69s/vxkkU5DnTU4CDVWScniHYtdPF3gqKub+X9O/TlyBDeg0wkpIgua\nZ7LCx2JQIgwOqvHXwAA6LBMJAAkbTAhiVDmQH04ksAAMDysXzZZ4nw/P6/OJ/P3fo6mivx/AQRkj\nM1yCmoiCNqf3WEfAUSnB7Jr2sKRl0mksBiw4xuM4Hmb1+fkAkeZmPN7rVbdGgmRHB8AvkdBzoY6c\nFgakTbiw8ctKkRDg+MWF1lq4ppcJ5aklJfiKRLTJh+odauxZhJxNubC+QD+dqSndseTmgkNnK7/H\ng89UOKyTn1IpXJe2Nh05RwqkslJBlu9/To6aanFR4XmNjCBzJ+/f0YHnbGzEjpAqpeFh9cwJhwHo\nHGC9WuOnP8XO5vbbFxfUzyZsYJ9DPPwwvmcyagkQjQK0tm3TDsAziYEB8OnT07jZqqrAdw8O4oYr\nLFT9OLfKVpBi4XRwUKV1LHzS49zvx/O3tIh861u4aUWUTuB23zoIIxRStQkBj9k7Ow0pf0skZhZO\nvV4dnMDdRkUFnpMKkGPHcO1IP1AjTmnhiy9qlyT5XOu4OapNmKmyLkCzLra0c+GjJYK1u1REC6As\nChcW4n2k8iiR0Gw6k8H50BCLPQusq/h8oCu8XqVs8vPxt+zcpdkWJ0CVlSmgs6u4rQ3X3OtVeWtZ\n2UzzNwL69LRKL8nbs8bDYinVPQcP4jje+EYsJtksFhh2E1dV4TO4WF7iSylefBES4yuuUN/+5RA2\nsM8hdu4U+cu/xDxDNhtt346b4kxnMJomaJb9+wE027YBLJ55RgdVhEK6lSbVQPMwZtB0yrOahXG+\nZSiEx7F4SlWHiPK3NNuiWoJUAW1ayeNTDun3a4s+x+dRVki1By16CdrMRtmhykEYHo9q4kmNtLRo\nPYHSPloWM3ukFpuj+Jgx07fFOqyEOxYCOtVIbF7iYuTz6ZSp7m7dYXCS0fAwMl8WIQnENBZbuxbX\njsMi2F3r8yFL7upSeqmuTgdmE3QPHwagM7vfvBnFOmvXppVyice1QYt+6zk5Cuh8z7xeJA5DQ8j2\n3/hGXJu2NjzO6QTH3tCgTWWrPbq7ka2vWQNfnOUUNsc+hxgfR0b67/8O0Lr4YjVROpNIpSBl7OjA\nzbduHbhU8sz0/bB6cZOrJwcciegWm12BTifAhXw3JxR95zvwsZkdb34zbnRy28XF6olu5ZPDYZ1P\nyuyew0K44LBrkeoXl0uzUbbYky/OZGY64XFkGy14uYAROJmdErBZUPX5ZjYPUREkApDy+dQamcZr\npKxiMS2MlpXh3NjB6nSqIdngIK41/WW4qFAB1NiIa8esOScHlEtREQCivV0tJUpLtTPY7cbrNzdj\nMeOw6MZGAC1loozZgE4bZCYS1gEkLI63twPUDQPzXouLddHia9XUrE7+/GQxNYXO0txcODZSfbXY\nYXPsCxyRiMgTT+DfW7fi62x4yPFx8Omjo6pPfuEF3fLTTpX8LbsCOTOSczLJMbOgyM5PdjTSiCuV\nEnnrWzG9KZsVeeABkc98RrlyZvaUNY6MaGs7G2KsNrxUf9BQjB2TySSuDX1ECF7M0g8fxjmzU9M6\nhJtmVcyS6VBJioVugSwSE7Ct8kZ2l1KOSTqMPQbJpAI3u3LLy9U+9+hRbfYqLNQpRpQVWnXwfj9A\nMRzGOXd2KnAXFeH9eeYZBVpq9AsK1EJg716tH/j9mGVLr3xrw5rV22d4GM9Ne2DT1P87HHiNYBCv\n++tfY4dWVobsPxIB+LOGwyK6HRqZDBQw09OwC1gqoH42YQP7OcRsyeP27fhOyePpoqsL3F0yCQCn\nH3deHjKnggIFZAKgaQIYx8e1wYeSNNIpVh6e/C/Hok1MaMGVm7RUauYoNboJ0gOmpATfOWGInaQs\njtLhkBz8xIS6+IXDM2d+trUBwKj8oLcIdd8cy0YaiYofUibk1K3TirJZvQ7k+MnF0xKBu4tMBgBH\n6Z9h4Hpxmk97O56PjpG9vaDHWES18trU3PO96+xU9Qtnj+7erdeDg5r5/tDE7dgxvR47duhM1tmA\nzsVvtusmtfX0gamsxPsVj+OYnn8e/167Vu0PyJ/zPbPj+HjiCVy/W2/V7uflFjYVM8fglvxMwjRR\nEG1uVpsBDk4oKlLfdqu7Ic2zaGLFgRUsjHJCEfljttJzGPXoqKpTRPT700+L3H23ShfZ+UnVht+P\n5y8qwuNJrbCwSgB1u1U77nbjmEkX0U3wwAEcBztck0nltKNRgCgLj1SyUP1idVC0uiySR+e0Iqp6\niopwXJSEGgYWDToq8nElJXgdZrp+P0BvdHTm8ViLs8EgJK5VVbrAsruWTpRHj85sLqqu1nb8RAJa\n9bY2HHdhoXLo1pm1/DxRMjowAFCmTzsHVogAoNkklkrhePbvhzSUuvlAAMfd0LA8s89S68zOAAAg\nAElEQVTzGXv3YurZ616HbvKlFjYVs8QikRD50IfgJyOi7f1+P25+Dpag/3UwCICgxS0HVjCLpWEU\nfT5EFAQnJjSrJ9/MLkta6d5/vx4DOzhrapSDZjOVlXJhtu/z6WQn0i6sB1ADLwKQY/OLz6fqmO98\nBwMzRkYAuHQHZEck6RUqcGiuRUUQ9fNsRKKum9eNC97goMr66OHC3QklgU4nMtpYDGBIwLT6yhQU\nQGZYXY3n6upSfrqwEI9ln4Fp4vFsuqIHy/PPA9C5K9i6VV4bfMIM3TqHlIA+NDTTvIzXhNOXrMZu\niYTIz3+uXvVr1mDRYFOVHaeOvj6R//kfFLXf+tbFPpq5hf12zzEoeTxVjIyAT//619EIwoy3shJA\nxOJjUZEOVe7owM9p9UrahfJFj0dpBnLPHDs2OanT7K2qkYICAFtOjhZUqc5gEZPZbiwG0CaAigB4\nCwrwfMxKCwvxMwI6JzTt3asGVw4HzoPdnt/9LgrNdCGk+Rh556kpHVJBWiaTURdE0jKkn6qr9bEc\n3XbggNI0+fl6nLRFoKzPMFC0pEe7yMyxhXV1APV0WodzsCCcm4stO83UAgEcS3m56vZ/9zulasJh\n9DYQaK2dwgT1eFz7EKznzfOoqcFnhlJONkP95jdYmNg/cemlOiDcjtNHLIbPpceDYS7LfRCIDexz\njNNx6i0t4FtHR/F/dlwWFmpnJ723TVPbxcmLsyDGrlG3WzNmGlixPZzFVHLIIrjR6Y3ucuGxVLpU\nViKzY9bLYyAPzcWBE3Ly89U+gLQHHQa5wBw+DL6aA5hjMdXEiwBURVQ5QhrJ6q9DXbjDMbP7lU6S\n/LvaWp3pmZurEkpmufTSofUCXSDJ/3d1aResiC48BGg6SVo9WTj2jvQOLXzXrlVAHx8H1UVfnXAY\nHHpV1fEWylyUuZBam4j4mhw3x2Ek6bQO3DhyBEX36WnQLjfcsHx54cWKbFbk+9/HZ/uee3Btl3vY\nHPsCRSaDxobPfhYfmtlx990iH/6wAkV/P4CJWTp145Qv0i6WRUEWU6mXnprSTlMR9XkhIFg9wUtK\n8HNm8pyUw2YaFl1ZELTy4qRyrPNPHQ41O6M3O4t+1JZ/7WsY7j07brgBc2FJtfCcc3JwTnw+Nhl5\nPADIujpVjiQSWEDZAk/6JBRSZRHpIA6Q4AxRq52ux6OzP51OpamsXbmRCECdyp3KSnWjpJVEf79e\n54suwmNORLdwlzU6qu8fzcPYlMbpRFTw+HxYFNvacM59fXjstddi8bDj7OOJJ6BeuvHGpX8N7UEb\nixixGLbgw8PI/iorcQNeey04PDb55OcDlJmlEdAJuOyUpKVuQQEAaGICz82/JaUhooVHFkDpnigC\nkC4v1y5M0hNs9WemaLWQFQHokDumnwiLm5kMwKy1Fc9DkGRTUTSqQxj4uz/5E5EvfxnPTUBnZ6TH\noz4nlDByx1Jaisw4EBD5whdQs+jsVB7dqoihPzo16vn5uFbUoovMPFZKEf1+nTolovTO+DjeQw6T\nKC/XkX6Dg7pTEMHisH37zLZ/ZueZjC6SHHIxOTnz9cJh9fnme8FCe3u7HsvYGAqiN920ulwW5zP2\n70dvx8UXi1x33WIfzenDLp4uUvT3o1AWjaovC4dCiCAb9PkAAp2dAJloVCkBAjq7I4uLtQhH32xy\nsOS5Gfn52skYi+kgZKojaJzl8+E5OeyCtAtVF8zgqYSh+RcLnBzvNzCALH1gQLtGOSQiGgUIWe0F\nrFtcugOmUlAhOJ0i73oXsm5m0yKqy29oAPjScfELXwB4jo+rxJIFXxEcOwvMk5M6fUhEO1EpJeWE\noFgMIM3GKpcLz8N6h9OJx9bW4pr09YEGiURwXOXl6BymgyPPjxk6C9HT05qpc0GiUofSVtNUSqqn\nB58VFsFZkL72WujebR793IKj/6qrYb29ksIG9nkK00TmeuAAbuZQSLXHzPD+6I9wYx45okZR1m5G\napg5HLm8HIBD29y+vpk0gohKBIuK1NtkYECBIRxWv/G8PPVvpzc3M3XT1MJpIqEuihUVelxsNJqa\ngt/I0aMAJnZ/+nw4P2bQ9IMvLNTFKi8PxalsFq/vduPmEgFtwUItQbeyUocu0z7h2DE8ZnwcgEhT\nLsojRdS3vK8PoExrAVJI1O+XlOA4IhGtJ3D4RG+vFnLLyxXQOzrQhzAxgecsLxfZsgWgz7oAdz4E\ndBbASZ+xcM3pRPTbId2UTqtFsQjeRw7DKC+Hxrq4+Px9vldaTE+jWOpywdxrpXXd2sA+D5FOz5Sz\nMbtm8Y4zSG+4AbyodXgzAZOURFERwIwdgZxW09enxVFGbi4eX1GBDyqLhm43wJQySAIIB1vQuZEt\n+FSNGAYA3TR1t8G/Z2PNkSPI0tmZSkDPzcUOgR2dBHTuQJjlx2LIjvgaViaQheJQCOfFZi0WiP/p\nn0S++U19/J/+Kb7fdReGcFAFND2tNAcVSPSj4cQnqlp4LejyyMWYzUXhMI7D48HO68UXtZOU3Zy0\ns6Uckc1SLGTT052j8lwuvMclJar64YSm8XHV/TsckCzm5cGzZGIC1g+0f7Dj3CKbRb1nfFzkfe9b\nmcO2bY59jjE+DqnZwIAW2eiKyLFvHR1KGVD9IKLNOCL4cDE7JZ86OAhA7+lRnpxRUABAYRZLl0Fr\ncdVqAkZPF6tHOnl2cuGplJqOWQuKOTnIXvftg5KEiwclhsPDKrEkreDxKH9NawDy7F4vag1WkLbG\nu94l8hd/gX/HYjPlmwTLu+8W+clPZpp+8bFWu4BAQF0TXS4smG63NlvxfUilNJNm8xB3Cr292rTE\n+aRWf3J62VglmbQS5ihCWg6Xl2NBI1VDRdHAgFI+brc6fD79NOo1hYUY8FBdPb+f39UYv/wlrut1\n14FbX05hc+wLGDt34quzEyPyIhGdSETFicOhPiOmiRt/eFj16DSzcrlU5VFQgKystVVvdC4CDL8f\nlIBhKCXDLlVmxaQT6PvNIRSkBDjpKBjUaTqkXTiImYAzNIQsvb0df+906mLAcXs06KKfTX6+Lgj0\nN6d3PIvAH/wgAHxgQOQ978Fx//CH6l8/PY2/Y6EzFlNKhXayDgeOiTNYKcXkDoXFXzZ9+f06lJp+\nM6mUqorY3k/jr/5+nD8bmSoqdLiFdVg5FxbSQKaJ8xoY0PpCbS12IaTOaIjW3Y3Fkn0MW7YA/IeH\n0fcwMCBy4YXogjzd5C07Th+HDwPUd+wA9bdSwwb2c4hPfAKr/Qsv4GZmpyHHk3V2AixoFvXVr6Lj\nlMVH/ryiQmTDBoBQMokbnIDOjkyG243CKzNkAjqNuygHJJ9PzxCOayMA0VKXVgUi6gnD6fNuN8D+\n6FGcC4u03I1QwWPls2kNS0Cfnb2yuMlBFJQgWjsia2rwWNosiOjCk0oB+EIhPOad71QzL6sHOYc+\nW90m6QnPY6EKZ3hYAd3jwfXNyZnp5OhwgHJZs0Y7hK21Ce5CRGb6mmcyukhwjiubuKJRHbJhmvgc\nrF2rfQTPPivyi1/gsXfdtbSHJi+nGBoS+cEPcL3f/vaVXXS2gf0sYudO5XWffhrgWF+PLCsQQPZ1\n8KBK9Njd+dhjWAiojiguhml/ZSWea3gYN3l3N3h6K4/udCrXPDKiLfylpeqFwq5EghrpFmaxbBai\nZwnpBsouqa3Oy8MCcOAAQHNkRCkNatmHh/EzEc086ezIY8lm1ZudFsJsruHwZ6tD4j33qCkYzb8S\nCV3AAgHsaFwuBd0rrsA1ozsld0osylIiym5O1jAyGdWNs3OzqgqPGxjQRSI3F9ezoUEpF9ZGOFCE\nWX8yOXO8YGEh3lta7tI3Z2QExc9IBNeuoQGUC3da4+NQCLW3w7L3hhtWRrPMUohEAsVSh0PkjjtW\nvsXCCj+9+Qs6OtLV8aMfxfe/+AvMNH3mGXDG730vwGNgQMFLBP/2+3HDNjbiZh8dBVB1dUHpQYte\nRk2NugX29KgnC7NiThoKh5GlOxxatGPxkCZVzFrHxzWrZ+MLO0Q7OwGm/Fv6q5gmQImZKQGdHbAE\ndBpZsduUhVWRmcO0WdDMy0OWes89OouUHinsbq2rw8JA35dIRMFXBNejtlbrF6SlOA6PLpDJ5ExA\nz8vD3xLQqWKhT05dnVIupjlz10OFDw3MuFiFQlgkvF6VS4rgMV1dyp9v3Yrnt3ah7tuHmoFpolHm\nggtWdkZ5PsM0kalHIqD9VsNkKLt4eoaxZw94ue99D/IoGmc9/jgAIz9f5OabRb74RQDHk08i+5od\nDz6IRWFwEDf80aMqaWOEw9gJTE4q2BcUYGHg8GQ2DNG9j/M/aRjGbJkOkVNTAAqqY+g1Eo0qfZBI\nKK9tGPp31rmqlApSScBMn4OaJycV+F0uVYW4XMqJMwv3eHAeTides6cH4OfxIEsOh7GgENBZFKV6\naN06/JvGXexyZYGWRVvOJeVrcZFjQxWD2XttrVr90sqANQIOeuY0KodDM3RaHNNls6tL56QWFmJB\np88+Y3pa5Mc/xi6puhoFUuvwETvmHr/+tciuXahTvO51i300cwu7eDpPMdt7/fbb8f3DH8b3yUlk\nagTn3FzcoA8+iC+XC00r8biqJFpa8NXcrMZTIjpaLZVSjt3vx43ucqnqw+9HJl9WprQHh2Nw0hLb\n/vk76raZfbJ7NRLBBKibbgJQsVhJOoKeLVatOv1N8vN1+MfIiE7yCQQUFJnZc8HhZB/q9hMJHQWX\nlwd6oqZG5HOfw7G96U3qAS8CQN+4Ud0wRVR5w6Kvz4fnGxgACLNgSckmpZosgLpcAFwCOk3OSIk5\nHPp6AwO6M+B7wPeH/QHWxbqiAoDOwqk1WlpQMI5GMVj89a9f/uZTSy2OHgWob90qctlli3005y/s\njP0Mg/TBww/PBPqTxf3343H0JxkeBii0toKHp9ROBGCyYYNmg5TGhUKqc56c1AYjq3KE8kmrH0pR\nkfqU82/YRRmJKN1CWuG220T+8R8V1FnooxwzPx+LCTsiqXt3u9UrnCPiWJjkY0wTi9T0NH7PYm86\njUx8dFQXw/p6/PzoUfDLIiKf/CS+FxSgluHxqBqIUtGcHG2uYoMW1US08KW+nCBtnZ5EWSMlkOTt\nmXmPjOgIOpqllZSoCVo2i8Icz8fhwCLR2HhijjyVgr3u7t3YldxyC47DjvmNSATj7QoLQfed6Rzi\npRx2xj7PwUxq506RP/szcKKXXgqNMbtMt25F8044rKPYHn5Y5A//EEXXiy4CCFqD02ympgDOLIyy\nGBmJ4HsopJI5KkVGR/GdVrLUzdN3hC3qU1OgBaz+KywuHjiAx7JZinQCwZ0cOwuNxcX6nC0teH1m\nyfQ1+a//wjlTLshW/KIigGBbG6ifnBxktBs34vWOHgU4Wq0SfD4AemEhfs5sm9kvF7JMRs+RXL5h\nqGafvvWJBI6BGbrXi99zaAabmWhDYB0iUlWFa0pjrmRSvWrIn2/ZoiZiJ4reXvC9w8PIIK+6amUA\nzlKLZBK+/zk58P5fbdfYBvaziIceAih1denPaBrFD86aNfrvSARzRb/2NZH3vx9AwqisRJZGi16C\nakEBAILOgn4/6ImKCgAsHQ+HhzXrp4Y9HlfaJRzWiT4c2kyL2eJiSDC//nU9no9/HN9vugmqAXqy\nEKxLSvCcOTnQAvf1HW+xSz/5r34VA7IzGfx/zRo8tq0NnDMXqi1bcM7t7aClvv998M3W+OM/xvd3\nvQtNSVTNsJEqJwfPSQUNdxm8NrQboE8LfWdIU3GhJaBHIjgeDvHgcA6ef24urmVLy0z+fPPmmS6O\nsyObRSPbU0/hnN/9bhyHHfMfpgkl2vAwOpJX4xhAG9jPIEwTGea11yI744CLD34QYFlWBsD4+MeR\n5X784wByZsMdHfpcHFNGrltEdeChEEC+qwuAsmYNvsivE9BpzkWQpp83M+NsFsBDV8VsVjN0ERQp\nL7kE3L/TKfK//zd4diuY02umpEQLtK2tAHU27NB3pahIm5YOHsRrOByQdPLvOjtV2715M563pwe9\nAOPjeJ6PfASUUDoNakoElAWlhZztybF2bAKKx7VoymIvLRVYgA4GcS055NvKz3MYNKWcNA/z+wHm\n4TAey9m0/f3qEdPYiOt6KgVLJIIsvbsbi9nb326PqFvI+N3vcO+95S14z1dj2Bz7aWJiQqWI9B+n\nLC4U0m05uxiHhk7f9n3nnWiwoelUZaUWTLNZLBQbNwIUUykAyugoQJ+gGgqpvJEadYcDYEknw5wc\npUko66M2nSPnODHmW9/S56IveV0dQHtoCKogdlL6fAC9QAAAGgyK/PM/i/zDPxx/rjfdhAXR79cx\nbaOjuPEGBnDdSkshA83LA6iPjWmh60c/0g7d0lLthrUuWiIzR8YFAgDTeBzZGr3b2UzEnQb5+IkJ\nrQu43XgsrXOzWSzq7e2qP6+rA2BQynmyME148j/+OM7z7W8HXWfHwkVLCz7LGzfic73SJKM2xz7H\noFqDQxM8Hi0M0geGrokimmnv2YP/c7LSzp1ojLjzTqUZ6BNOi93OTmTvwSAyOk7AGRvTYiephcJC\ngCSbZNjxST8TApzXq7w3rQ3IPZeVaVFvYgKDLmIxPJ6DJr78ZZGPfQw1g4MHVQlCS4BQSGec+nwi\nf/u3ULKMjiKj/sY38DderzbiTE8jQ+/qAugVFQHQfT41IJucxN/ddReOj3437IYdGNBZrpwmxMWR\ni1BPD45t3Todt0efFz5Pc7MufrRB4FQoOmq2t6v1sMej/PmZtPZPTWFRam7G39x8s+2ZvtAxNgZv\n9eJiJBQrDdTPJmxgnxXZLICns1N9uentUlSkY9U4s5K+55/61EzO2joyjzc0KZMf/Qh0TU8PQNPp\nBGg0NgI0JifxIeX8UhYu2XI+Pa2Oi6Oj6Ga0Dn6m7SuLidSal5Sohe7wsCpp7rwTgE6dtWmKfPrT\nOKbBQZxnQQFumKIinA/nrnLwxtQUKJfmZpyraSKr3bgRvz90CNlUMgkgb2hQimN6WlUnnGr0/vdj\n0SKdcvSomoFxsDO7cgsLtYHJ58Nr+nyq7ach2fAwdl90tKTvvMuF8/L78TeHD6v/OfnzqqozlyIe\nPoz3OJmEk+Wll65ukDkfkUohgaLdxGr31bGB3RJDQwAfzuPk2LeCAgAf9dLstBweBgC0t8OoafNm\nfLA+9jHo3d/3PjQpORyQFKbT4J3vugsZhWkCmLZvB0gnk1gkaB1A7pi7A8oRXS6A4bFj6uVeWKgF\nwdZW7fQkhcHC3+AgzjOZVEfJ+nr1Eo9GRZ57Dq/T24vnrKjAosCB05yuRN+T5mYcCxUwd90FTXZR\nEX5+5AiAPz9fFw/SLtTe09uFCxY9aVpasADRd4YFTdJE/f24/m43egD8fq0TFBRoF/DgoDZGlZaq\nDJKLRyyG3cls/Xlx8ZmDciIB2uXll/F5ufVWXbzsWLgwTbiF9vfjs1dUtNhHtPgxLxy7YRjXiMg/\nikiuiPyraZp/c6rHLzWOfWoKAMRhCx4PALGgQGeGEtA5a7SzU+dscptPWoQ0wjPP6PSkykq0ie/Z\nI/KGN4CW2bEDAJDJ4Dlp8crZpVR0pNMqxaOSg81ANN6KxfBa4+PKF5eV4XXz87E76O5WLXZFBWiQ\n6mr8Px5HQ9XnP3/89fnQhzDOjl7m5Kvb21W6mM1icVmzBotEb6/6opBHp0maYeAcaA3gcGj3qtOp\nxcyREZUrkhevqECm3d+P9432CGwTJ6Vibfcn7cMmIU5P4o6nvR2v5XTiGNesOXuP7s5OFEjHx+Fj\n86Y32Z7p5yuee07kZz/DNb/yysU+moWN88axG4aRKyJfEJG3iki3iOw2DOMx0zQPzvW5FzpSKQAT\nW9ndboB5IKAOiQR0EWRkvb3IUNvbVfvt9QII6JH+4Q+L/L//h+cuKEA2/8gjAHQG5yv++Z8DOEm7\ncEYnB19wGEYqpZkraRVq1o8cwd/SJ72sDDsBvx/Hu3+/DoeorgZVUVenzTWRCICpqQmgJIIdxssv\nq66dvubJJM6f0304Oq+6GoA4OQkrYzoXFhRgRxAM4vUjETUmIz/P4nM6rYA+NQVQz83FYyoqAMyD\ng6Bl2FxEywSPB1+cC8oOXCqWTFOnU7Fh7JVXcP3o33Km/Lk1MhmRX/0K51xQgF1aTc2cPpZ2nEW0\nt2OXtH49BpDYgZgPKuZSETlmmmariIhhGN8RkZtEZMkCezYLwGttBVjS76OgAGDh988EdFq8Hj4M\nUBkdVQkhG2Sqq0UefVTkbyx7lbvvxveHH1YPdxE8L8exDQzgw8nBF0VFmoGTorA6EXIY9dgYFiR6\noNDWlw1P3d2wf2WDU0kJ5I0NDSq1o/FXW9tMr3Vmv6GQGn2lUrhe3d26q8jLw/Fs2gSA27tXC7gE\n+3AYj2NDFReuoiKtU5CS4eSiZBLnSC+cYBDnceSINnAVF2NhoINifz92CMkkrh+pGtIyBPWBAdQe\nUik8/yWX4DjPpZV/cBBZen8/dl9ve5saf9mx8DExgd6HoiIUp+06hsZ8AHuliFhadqRbRJasK0Mk\ngoyTAzCCQXwwuJ23AjodAw8fhjyPo+esuvPKSqgvgkHc3J/5DICYLfjWYEu+CMCck3UoIWRGTCkf\nzbg8HgBuTo4OwebYN68Xx7B+PRqh1q5FI0xfnzYIbd6MQigBPZ1WAzIOYg4GtZjo9aJTljRRRwcW\nkdFRXUhowhUMgpLq7FTbg5oa0DFuN37G82F3LEGUQy96e9UPhgZf4TDOmTNOuTiR66fxWVeXNifR\naIsmX8mkvpc9Pcqfl5XhOoXD5wYGpont/5NP4pze+U5cfzvOX6TTSKRSKTiqcoi5HYjzVjw1DOM+\nEblPRKRmEfaqsRgAoqtLOxA5MJpKEetNTrnb3r0ArWRSDa7CYQDXunUnduI7kb6ZU5QGB9HYxKzR\n5cJzZDL4HTnh3FyAJv3SOWmHTU1eLzLNtWuR1UYiIp/9LI6LQ6K3bAENZPUriUSwSJEq4cJGlYvX\nC2D85Cfxen19eM2xMVwDlwuUS0kJfn/ggC4O4TCOye/HNSbFReqIGXoyqQ6Jo6NqOMaaRjCIBeHY\nMRyj9X3y+/G3Bw7gMYah7wdfl5bDiYQWox0O7GhYYD3XmJhAQbytDe//DTecXs9ux/yGacLiuKcH\nXdJ2gfr4mA9g7xERa0tO1as/mxGmaX5JRL4kguLpPLzuGUU6jZvw2DEAQTCoLfqh0PGATtrlxReR\n0U5NAdB9PoBsdTW6Ik/k1meNhx/Gdw6xGB9HZhqJQDFD1UZODjLa0VH1Z6HJlIhmwxMTeKzfDxB7\n8kl4S09PI3ukzNAwwKFfcQUWIVJA8Ti49o4O9TovL8frWQHdMHDDcHD2xIRaHlRXg+IYGkLjDX1Z\n/H48VzgMMB0cBKAT7GnPm0zi/Ht69G/z8rQvIBDA+bS14X0Lh7Eb4U5icBB0DAvANTU4Jg4PoTnY\nxISOu7Py53OlSeiZnskA0HfssLf/ixEvvoj6z+/9Hj7rdhwfc1bFGIbhEJFmEblKAOi7ReRu0zQP\nnOxvzocqxjSRER48CBDxeJANVldrl+bsm3JqCoDFKfHs3AyFAGgcY3emNzM15319ABo6DFI2yQYk\n09T29bIyPD913yx6+v04ho0b8RiPBwW7z38eTRmzg7y+YeAaHDqkZmGlpVioXC6dfZqbq1OA0mnt\nykyncf5r12JhHBzEYyizJB1lmjqmjgoZvx/+9Pfei/Nsa8N3+rMHAmoqFosp1VVUBHUKFzc2X5EX\nr6rCNcjP1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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7ff7483e20b8>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% sinkhorn\n",
+ "\n",
+ "# reg term\n",
+ "lambd = 1e-3\n",
+ "\n",
+ "Gs = ot.sinkhorn(a, b, M, lambd)\n",
+ "\n",
+ "pl.figure(5)\n",
+ "pl.imshow(Gs, interpolation='nearest')\n",
+ "pl.title('OT matrix sinkhorn')\n",
+ "\n",
+ "pl.figure(6)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, Gs, color=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('OT matrix Sinkhorn with samples')\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_OT_L1_vs_L2.ipynb b/notebooks/plot_OT_L1_vs_L2.ipynb
new file mode 100644
index 0000000..5b49e82
--- /dev/null
+++ b/notebooks/plot_OT_L1_vs_L2.ipynb
@@ -0,0 +1,373 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# 2D Optimal transport for different metrics\n",
+ "\n",
+ "\n",
+ "2D OT on empirical distributio with different gound metric.\n",
+ "\n",
+ "Stole the figure idea from Fig. 1 and 2 in\n",
+ "https://arxiv.org/pdf/1706.07650.pdf\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Dataset 1 : uniform sampling\n",
+ "----------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc3b4ebfcc0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc3b2a339e8>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n = 20 # nb samples\n",
+ "xs = np.zeros((n, 2))\n",
+ "xs[:, 0] = np.arange(n) + 1\n",
+ "xs[:, 1] = (np.arange(n) + 1) * -0.001 # to make it strictly convex...\n",
+ "\n",
+ "xt = np.zeros((n, 2))\n",
+ "xt[:, 1] = np.arange(n) + 1\n",
+ "\n",
+ "a, b = ot.unif(n), ot.unif(n) # uniform distribution on samples\n",
+ "\n",
+ "# loss matrix\n",
+ "M1 = ot.dist(xs, xt, metric='euclidean')\n",
+ "M1 /= M1.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "M2 = ot.dist(xs, xt, metric='sqeuclidean')\n",
+ "M2 /= M2.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "Mp = np.sqrt(ot.dist(xs, xt, metric='euclidean'))\n",
+ "Mp /= Mp.max()\n",
+ "\n",
+ "# Data\n",
+ "pl.figure(1, figsize=(7, 3))\n",
+ "pl.clf()\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "pl.title('Source and traget distributions')\n",
+ "\n",
+ "\n",
+ "# Cost matrices\n",
+ "pl.figure(2, figsize=(7, 3))\n",
+ "\n",
+ "pl.subplot(1, 3, 1)\n",
+ "pl.imshow(M1, interpolation='nearest')\n",
+ "pl.title('Euclidean cost')\n",
+ "\n",
+ "pl.subplot(1, 3, 2)\n",
+ "pl.imshow(M2, interpolation='nearest')\n",
+ "pl.title('Squared Euclidean cost')\n",
+ "\n",
+ "pl.subplot(1, 3, 3)\n",
+ "pl.imshow(Mp, interpolation='nearest')\n",
+ "pl.title('Sqrt Euclidean cost')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Dataset 1 : Plot OT Matrices\n",
+ "----------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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UCfj6awFvb5BHwc12mtFphwnnDNEI3GjCsXeUaXMreP/4I21fWfDevt12cRNr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\nRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc3b28fa5c0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% EMD\n",
+ "G1 = ot.emd(a, b, M1)\n",
+ "G2 = ot.emd(a, b, M2)\n",
+ "Gp = ot.emd(a, b, Mp)\n",
+ "\n",
+ "# OT matrices\n",
+ "pl.figure(3, figsize=(7, 3))\n",
+ "\n",
+ "pl.subplot(1, 3, 1)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, G1, c=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "# pl.legend(loc=0)\n",
+ "pl.title('OT Euclidean')\n",
+ "\n",
+ "pl.subplot(1, 3, 2)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, G2, c=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "# pl.legend(loc=0)\n",
+ "pl.title('OT squared Euclidean')\n",
+ "\n",
+ "pl.subplot(1, 3, 3)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, Gp, c=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "# pl.legend(loc=0)\n",
+ "pl.title('OT sqrt Euclidean')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Dataset 2 : Partial circle\n",
+ "--------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc3b2a0fd30>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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5sa17ell3FjR8bjKG0yfD2Nbt2Onpujka27rMog3HgHPM7AeBRwHPlPRE4O3A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\nRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc3b2971358>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n = 50 # nb samples\n",
+ "xtot = np.zeros((n + 1, 2))\n",
+ "xtot[:, 0] = np.cos(\n",
+ " (np.arange(n + 1) + 1.0) * 0.9 / (n + 2) * 2 * np.pi)\n",
+ "xtot[:, 1] = np.sin(\n",
+ " (np.arange(n + 1) + 1.0) * 0.9 / (n + 2) * 2 * np.pi)\n",
+ "\n",
+ "xs = xtot[:n, :]\n",
+ "xt = xtot[1:, :]\n",
+ "\n",
+ "a, b = ot.unif(n), ot.unif(n) # uniform distribution on samples\n",
+ "\n",
+ "# loss matrix\n",
+ "M1 = ot.dist(xs, xt, metric='euclidean')\n",
+ "M1 /= M1.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "M2 = ot.dist(xs, xt, metric='sqeuclidean')\n",
+ "M2 /= M2.max()\n",
+ "\n",
+ "# loss matrix\n",
+ "Mp = np.sqrt(ot.dist(xs, xt, metric='euclidean'))\n",
+ "Mp /= Mp.max()\n",
+ "\n",
+ "\n",
+ "# Data\n",
+ "pl.figure(4, figsize=(7, 3))\n",
+ "pl.clf()\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "pl.title('Source and traget distributions')\n",
+ "\n",
+ "\n",
+ "# Cost matrices\n",
+ "pl.figure(5, figsize=(7, 3))\n",
+ "\n",
+ "pl.subplot(1, 3, 1)\n",
+ "pl.imshow(M1, interpolation='nearest')\n",
+ "pl.title('Euclidean cost')\n",
+ "\n",
+ "pl.subplot(1, 3, 2)\n",
+ "pl.imshow(M2, interpolation='nearest')\n",
+ "pl.title('Squared Euclidean cost')\n",
+ "\n",
+ "pl.subplot(1, 3, 3)\n",
+ "pl.imshow(Mp, interpolation='nearest')\n",
+ "pl.title('Sqrt Euclidean cost')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Dataset 2 : Plot OT Matrices\n",
+ "-----------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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SDp5/3gzIX6m3j3lJeznH9fKy0fSSxA/jpT28+SbwxhvhxMvEVODsWWkP7e3m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\n/wfPnU7C6ZZu4AAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fc3b26be320>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% EMD\n",
+ "G1 = ot.emd(a, b, M1)\n",
+ "G2 = ot.emd(a, b, M2)\n",
+ "Gp = ot.emd(a, b, Mp)\n",
+ "\n",
+ "# OT matrices\n",
+ "pl.figure(6, figsize=(7, 3))\n",
+ "\n",
+ "pl.subplot(1, 3, 1)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, G1, c=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "# pl.legend(loc=0)\n",
+ "pl.title('OT Euclidean')\n",
+ "\n",
+ "pl.subplot(1, 3, 2)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, G2, c=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "# pl.legend(loc=0)\n",
+ "pl.title('OT squared Euclidean')\n",
+ "\n",
+ "pl.subplot(1, 3, 3)\n",
+ "ot.plot.plot2D_samples_mat(xs, xt, Gp, c=[.5, .5, 1])\n",
+ "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
+ "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
+ "pl.axis('equal')\n",
+ "# pl.legend(loc=0)\n",
+ "pl.title('OT sqrt Euclidean')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_WDA.ipynb b/notebooks/plot_WDA.ipynb
new file mode 100644
index 0000000..f40dbd0
--- /dev/null
+++ b/notebooks/plot_WDA.ipynb
@@ -0,0 +1,299 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# Wasserstein Discriminant Analysis\n",
+ "\n",
+ "\n",
+ "This example illustrate the use of WDA as proposed in [11].\n",
+ "\n",
+ "\n",
+ "[11] Flamary, R., Cuturi, M., Courty, N., & Rakotomamonjy, A. (2016).\n",
+ "Wasserstein Discriminant Analysis.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "\n",
+ "from ot.dr import wda, fda"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters\n",
+ "\n",
+ "n = 1000 # nb samples in source and target datasets\n",
+ "nz = 0.2\n",
+ "\n",
+ "# generate circle dataset\n",
+ "t = np.random.rand(n) * 2 * np.pi\n",
+ "ys = np.floor((np.arange(n) * 1.0 / n * 3)) + 1\n",
+ "xs = np.concatenate(\n",
+ " (np.cos(t).reshape((-1, 1)), np.sin(t).reshape((-1, 1))), 1)\n",
+ "xs = xs * ys.reshape(-1, 1) + nz * np.random.randn(n, 2)\n",
+ "\n",
+ "t = np.random.rand(n) * 2 * np.pi\n",
+ "yt = np.floor((np.arange(n) * 1.0 / n * 3)) + 1\n",
+ "xt = np.concatenate(\n",
+ " (np.cos(t).reshape((-1, 1)), np.sin(t).reshape((-1, 1))), 1)\n",
+ "xt = xt * yt.reshape(-1, 1) + nz * np.random.randn(n, 2)\n",
+ "\n",
+ "nbnoise = 8\n",
+ "\n",
+ "xs = np.hstack((xs, np.random.randn(n, nbnoise)))\n",
+ "xt = np.hstack((xt, np.random.randn(n, nbnoise)))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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B8rXKt2Xlgf1eH+xFJNoH+6T5VM9Mt314JOLzU98+p8PnzMvLY+fOnbz66qts3ryZefPm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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f4a7b2a7e48>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot samples\n",
+ "pl.figure(1, figsize=(6.4, 3.5))\n",
+ "\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.scatter(xt[:, 0], xt[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Discriminant dimensions')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.scatter(xt[:, 2], xt[:, 3], c=ys, marker='+', label='Source samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Other dimensions')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute Fisher Discriminant Analysis\n",
+ "------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% Compute FDA\n",
+ "p = 2\n",
+ "\n",
+ "Pfda, projfda = fda(xs, ys, p)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute Wasserstein Discriminant Analysis\n",
+ "-----------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Compiling cost function...\n",
+ "Computing gradient of cost function...\n",
+ " iter\t\t cost val\t grad. norm\n",
+ " 1\t+8.7135243329934142e-01\t4.22283975e-01\n",
+ " 2\t+4.5259877952239763e-01\t2.80207825e-01\n",
+ " 3\t+4.2301660192758839e-01\t2.57544116e-01\n",
+ " 4\t+3.6438385605814744e-01\t2.01503900e-01\n",
+ " 5\t+2.6854415219016237e-01\t1.86872752e-01\n",
+ " 6\t+2.3605613971887493e-01\t8.54873065e-02\n",
+ " 7\t+2.3238632608008850e-01\t4.70510545e-02\n",
+ " 8\t+2.3084542185757945e-01\t8.60266814e-03\n",
+ " 9\t+2.3083921287882422e-01\t8.05123557e-03\n",
+ " 10\t+2.3081791779181188e-01\t5.75567680e-03\n",
+ " 11\t+2.3081444006658824e-01\t5.32065675e-03\n",
+ " 12\t+2.3080311057315009e-01\t3.34753227e-03\n",
+ " 13\t+2.3079768318049571e-01\t1.75615642e-03\n",
+ " 14\t+2.3079588611065080e-01\t6.04609566e-04\n",
+ " 15\t+2.3079584350945395e-01\t5.50079922e-04\n",
+ " 16\t+2.3079571065356075e-01\t3.07865387e-04\n",
+ " 17\t+2.3079565041678046e-01\t3.29364280e-05\n",
+ " 18\t+2.3079564985490117e-01\t1.32999543e-05\n",
+ " 19\t+2.3079564975468964e-01\t3.81768629e-06\n",
+ " 20\t+2.3079564974709890e-01\t1.50474730e-06\n",
+ " 21\t+2.3079564974588401e-01\t5.41516789e-07\n",
+ "Terminated - min grad norm reached after 21 iterations, 7.93 seconds.\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "#%% Compute WDA\n",
+ "p = 2\n",
+ "reg = 1e0\n",
+ "k = 10\n",
+ "maxiter = 100\n",
+ "\n",
+ "Pwda, projwda = wda(xs, ys, p, reg, k, maxiter=maxiter)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot 2D projections\n",
+ "-------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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naGsxA0dn89j6B5g7Vp366IqioHObwy+mnI87KV6nuwu5d0omALMWlZqRsQDZ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4JLr2B0SamDoSy49AqHtmIeG11SSnFODmNKB/Hu9JvtY/WtrdS3tjreSY9D7wtLyYg5D9vvYRJf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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f4a791aa4e0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot samples\n",
+ "\n",
+ "xsp = projfda(xs)\n",
+ "xtp = projfda(xt)\n",
+ "\n",
+ "xspw = projwda(xs)\n",
+ "xtpw = projwda(xt)\n",
+ "\n",
+ "pl.figure(2)\n",
+ "\n",
+ "pl.subplot(2, 2, 1)\n",
+ "pl.scatter(xsp[:, 0], xsp[:, 1], c=ys, marker='+', label='Projected samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Projected training samples FDA')\n",
+ "\n",
+ "pl.subplot(2, 2, 2)\n",
+ "pl.scatter(xtp[:, 0], xtp[:, 1], c=ys, marker='+', label='Projected samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Projected test samples FDA')\n",
+ "\n",
+ "pl.subplot(2, 2, 3)\n",
+ "pl.scatter(xspw[:, 0], xspw[:, 1], c=ys, marker='+', label='Projected samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Projected training samples WDA')\n",
+ "\n",
+ "pl.subplot(2, 2, 4)\n",
+ "pl.scatter(xtpw[:, 0], xtpw[:, 1], c=ys, marker='+', label='Projected samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Projected test samples WDA')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_barycenter_1D.ipynb b/notebooks/plot_barycenter_1D.ipynb
new file mode 100644
index 0000000..8acaeec
--- /dev/null
+++ b/notebooks/plot_barycenter_1D.ipynb
@@ -0,0 +1,308 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# 1D Wasserstein barycenter demo\n",
+ "\n",
+ "\n",
+ "This example illustrates the computation of regularized Wassersyein Barycenter\n",
+ "as proposed in [3].\n",
+ "\n",
+ "\n",
+ "[3] Benamou, J. D., Carlier, G., Cuturi, M., Nenna, L., & Peyré, G. (2015).\n",
+ "Iterative Bregman projections for regularized transportation problems\n",
+ "SIAM Journal on Scientific Computing, 37(2), A1111-A1138.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot\n",
+ "# necessary for 3d plot even if not used\n",
+ "from mpl_toolkits.mplot3d import Axes3D # noqa\n",
+ "from matplotlib.collections import PolyCollection"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters\n",
+ "\n",
+ "n = 100 # nb bins\n",
+ "\n",
+ "# bin positions\n",
+ "x = np.arange(n, dtype=np.float64)\n",
+ "\n",
+ "# Gaussian distributions\n",
+ "a1 = ot.datasets.get_1D_gauss(n, m=20, s=5) # m= mean, s= std\n",
+ "a2 = ot.datasets.get_1D_gauss(n, m=60, s=8)\n",
+ "\n",
+ "# creating matrix A containing all distributions\n",
+ "A = np.vstack((a1, a2)).T\n",
+ "n_distributions = A.shape[1]\n",
+ "\n",
+ "# loss matrix + normalization\n",
+ "M = ot.utils.dist0(n)\n",
+ "M /= M.max()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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etbBvLexbD7HJMOBY6H8sDJwAw04Ht7NV/Up1RpNiiFpTUkG028XoAUlOhwLAMYOTEbHG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\nf17bI7LGndgbl1FhyON24XG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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fe6f04278d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot the distributions\n",
+ "\n",
+ "pl.figure(1, figsize=(6.4, 3))\n",
+ "for i in range(n_distributions):\n",
+ " pl.plot(x, A[:, i])\n",
+ "pl.title('Distributions')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Barycenter computation\n",
+ "----------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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0uQlqNS+5No3vSTvl/EGycTokzIX0UxBcCRpdDI27OY960c6SH6bISjRBiUgf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\n5P8B8+yyfxkpn3sAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fe6f04274a8>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% barycenter computation\n",
+ "\n",
+ "alpha = 0.2 # 0<=alpha<=1\n",
+ "weights = np.array([1 - alpha, alpha])\n",
+ "\n",
+ "# l2bary\n",
+ "bary_l2 = A.dot(weights)\n",
+ "\n",
+ "# wasserstein\n",
+ "reg = 1e-3\n",
+ "bary_wass = ot.bregman.barycenter(A, M, reg, weights)\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.clf()\n",
+ "pl.subplot(2, 1, 1)\n",
+ "for i in range(n_distributions):\n",
+ " pl.plot(x, A[:, i])\n",
+ "pl.title('Distributions')\n",
+ "\n",
+ "pl.subplot(2, 1, 2)\n",
+ "pl.plot(x, bary_l2, 'r', label='l2')\n",
+ "pl.plot(x, bary_wass, 'g', label='Wasserstein')\n",
+ "pl.legend()\n",
+ "pl.title('Barycenters')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Barycentric interpolation\n",
+ "-------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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fh8/nQzqdhslkyou47HZ7lmAZzkIDg/IwBMpgUcitYQKyhUmSJExOTmJychKrV6/G7t27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\nvr6ef/qnfwJS51mPPvoo7777bsp+lsVi4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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fe6ee2721d0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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g448/hlarTcuI9Oqrr+LOO++EIAi4/fbbce+990bcHwgEcNttt+Hjjz9GdXU1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\nsUcynvMIGwAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fe6ee18f240>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% barycenter interpolation\n",
+ "\n",
+ "n_alpha = 11\n",
+ "alpha_list = np.linspace(0, 1, n_alpha)\n",
+ "\n",
+ "\n",
+ "B_l2 = np.zeros((n, n_alpha))\n",
+ "\n",
+ "B_wass = np.copy(B_l2)\n",
+ "\n",
+ "for i in range(0, n_alpha):\n",
+ " alpha = alpha_list[i]\n",
+ " weights = np.array([1 - alpha, alpha])\n",
+ " B_l2[:, i] = A.dot(weights)\n",
+ " B_wass[:, i] = ot.bregman.barycenter(A, M, reg, weights)\n",
+ "\n",
+ "#%% plot interpolation\n",
+ "\n",
+ "pl.figure(3)\n",
+ "\n",
+ "cmap = pl.cm.get_cmap('viridis')\n",
+ "verts = []\n",
+ "zs = alpha_list\n",
+ "for i, z in enumerate(zs):\n",
+ " ys = B_l2[:, i]\n",
+ " verts.append(list(zip(x, ys)))\n",
+ "\n",
+ "ax = pl.gcf().gca(projection='3d')\n",
+ "\n",
+ "poly = PolyCollection(verts, facecolors=[cmap(a) for a in alpha_list])\n",
+ "poly.set_alpha(0.7)\n",
+ "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
+ "ax.set_xlabel('x')\n",
+ "ax.set_xlim3d(0, n)\n",
+ "ax.set_ylabel('$\\\\alpha$')\n",
+ "ax.set_ylim3d(0, 1)\n",
+ "ax.set_zlabel('')\n",
+ "ax.set_zlim3d(0, B_l2.max() * 1.01)\n",
+ "pl.title('Barycenter interpolation with l2')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.figure(4)\n",
+ "cmap = pl.cm.get_cmap('viridis')\n",
+ "verts = []\n",
+ "zs = alpha_list\n",
+ "for i, z in enumerate(zs):\n",
+ " ys = B_wass[:, i]\n",
+ " verts.append(list(zip(x, ys)))\n",
+ "\n",
+ "ax = pl.gcf().gca(projection='3d')\n",
+ "\n",
+ "poly = PolyCollection(verts, facecolors=[cmap(a) for a in alpha_list])\n",
+ "poly.set_alpha(0.7)\n",
+ "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
+ "ax.set_xlabel('x')\n",
+ "ax.set_xlim3d(0, n)\n",
+ "ax.set_ylabel('$\\\\alpha$')\n",
+ "ax.set_ylim3d(0, 1)\n",
+ "ax.set_zlabel('')\n",
+ "ax.set_zlim3d(0, B_l2.max() * 1.01)\n",
+ "pl.title('Barycenter interpolation with Wasserstein')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_compute_emd.ipynb b/notebooks/plot_compute_emd.ipynb
new file mode 100644
index 0000000..c5f47c2
--- /dev/null
+++ b/notebooks/plot_compute_emd.ipynb
@@ -0,0 +1,248 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# Plot multiple EMD\n",
+ "\n",
+ "\n",
+ "Shows how to compute multiple EMD and Sinkhorn with two differnt\n",
+ "ground metrics and plot their values for diffeent distributions.\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot\n",
+ "from ot.datasets import get_1D_gauss as gauss"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters\n",
+ "\n",
+ "n = 100 # nb bins\n",
+ "n_target = 50 # nb target distributions\n",
+ "\n",
+ "\n",
+ "# bin positions\n",
+ "x = np.arange(n, dtype=np.float64)\n",
+ "\n",
+ "lst_m = np.linspace(20, 90, n_target)\n",
+ "\n",
+ "# Gaussian distributions\n",
+ "a = gauss(n, m=20, s=5) # m= mean, s= std\n",
+ "\n",
+ "B = np.zeros((n, n_target))\n",
+ "\n",
+ "for i, m in enumerate(lst_m):\n",
+ " B[:, i] = gauss(n, m=m, s=5)\n",
+ "\n",
+ "# loss matrix and normalization\n",
+ "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'euclidean')\n",
+ "M /= M.max()\n",
+ "M2 = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'sqeuclidean')\n",
+ "M2 /= M2.max()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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TgAA45xwrQWk3n1KqLmiCaiCmT4cmTeCss1wdydGNHw+pqfqjXaVU3dAE1QDk5Fizl48f\nXz+79yqMGmXNzTdtmqsjUUqdCjRBNQBz5lhLa0ya5OpIjs3PD/75T6ubr7jY1dEopRo6TVANwLRp\n0Lo19O7t6khqNmkSZGdbv9dSSqm/QxNUPZeaCosWWR/8R18Csv4YPNi6VqbdfEqpv0sTVD03cyYY\nU/+79yq4u1vXyubNs66dKaXU8dIEVc9NmwY9e0KbNq6OpPYmTbKuQc2Z4+pIlFINmSaoemzLFliz\npuG0nir07m1dM9NuPqXU36EJqh6bPt1a82nCBFdH8teIWEl10SLrGppSSh0PTVD1lNMJU6fCoEHQ\nrJmro/nrJk2yrp198omrI1FKNVSaoOqpBQtg1y648kpXR3J82rSxJrV95x2d+kgpdXw0QdVTb71l\nDdceM8bVkRy/q6+GHTvgxx9dHYlSqiGqVYISkXNEZKuIJInI3dXs9xKRT+39y0Wkpb19iIisFpH1\n9t+zKz1nsV3nOvvWpK5eVEO3dy98/TVccQV4ero6muN3/vkQHm4lW6WU+qtqTFAi4gBeB4YDHYCJ\nItKhSrErgEPGmHjgJeAZe3sGMNIY0wm4BJha5XmTjDFd7dvBv/E6TinvvWddv/m//3N1JH+Plxdc\ndhl89ZUOllBK/XW1aUH1BpKMMTuNMSXATGB0lTKjgSn2/dnAIBERY8xaY0zFR9NGwEdEvOoi8FNV\naSm8+661dEVcnKuj+fuuugrKy+H9910diVKqoalNgooCUio93mtvq7aMMaYMyAHCqpQ5H1hjjKk8\njeiHdvfeAyLVT+QjIleJyCoRWZWenl6LcBu2efOs1sbVV7s6kroRHw9DhliDJcrKXB2NUqohOSmD\nJESkI1a3378qbZ5kd/31t2+Tq3uuMeYdY0xPY0zPiIiIEx+si731FsTEwD/+4epI6s4111jX1b77\nztWRKKUaktokqH1ATKXH0fa2asuIiDsQBGTaj6OBL4CLjTE7Kp5gjNln/80FpmN1JTZqSUnW8PL/\n+z9wOFwdTd0ZMQKaN4c33nB1JEqphqQ2CWolkCAicSLiCUwA5lYpMxdrEATAWGCRMcaISDDwDXC3\nMeaXisIi4i4i4fZ9D2AEsOHvvZSG76mnwNu74Q+OqMrDA6691lq2fs0aV0ejlGooakxQ9jWl64H5\nwGbgM2PMRhF5VERG2cXeB8JEJAm4FagYin49EA88WGU4uRcwX0T+BNZhtcDercsX1tAkJ8PHH1uD\nChrizBE1uf56CA6Gxx5zdSRKqYZCjDGujqHWevbsaVatWuXqME6Iq66CKVNg506IqjoE5RTxyCPw\n8MOwbh106eLqaJRSriIiq40xPWsqpzNJ1AO7d8NHH1lde6dqcgK46SYIDNRWlFKqdjRB1QNPP239\nvesu18ZxogUHW0nq889h/XpXR6OUqu80QblYSor1I9bLL7eGl5/qbr4ZAgLg8cddHYlSqr7TBOVi\njz9uTWt0zz2ujuTkCA2FG26AWbOsa1FKKXU0mqBc6LffrGmNrrsOWrRwdTQnz223WZPI/utf1jRI\nSilVHU1QLlJSYo3ci45ufIMGQkPh5ZdhxQp4801XR6OUqq80QbnI88/Dhg3w+uvWNZnGZuJEGDbM\n6tpMSam5vFKq8dEE5QLbt8Ojj8K4cTBypKujcQ0Rq/VUXm79iLcB/RxPKXWSaII6yZxO69qLtze8\n8oqro3GtuDgrUc+daw09V0qpyjRBnWT33AM//WR18UVGujoa17v5ZujRwxpmv6HRz8aolKpME9RJ\n9N578Oyz1vITV1zh6mjqB3d3+OIL8Pe3lhhJS3N1REqp+kIT1Eny449WYho6FF591boGoywxMfD1\n15CRAaNHQ2GhqyNSStUHmqBOgvXr4fzzoW1b+Owzq9WgjtSjB0ybBitXwuTJUFrq6oiUUq6mCeoE\n++YbOP108PW1lnMPCnJ1RPXXmDHwwgvWgIlhwyAz09URKaVcSRPUCWKM9WE7ciTEx8Py5dCypauj\nqv9uucVaF+uXX6BPH9i82dURKaVcRRPUCZCWBhddBLffbnXtLV3aOCaCrSuTJ8PixZCXB337Wutk\nOZ2ujkopdbJpgqpDBQXWtEXx8dZkqI8+Cp9+Cn5+ro6s4enXz7oe1aEDXHop9OplJS2lVOOhCaoO\nbN9urRTbpg08+CCccw5s2gQPPABueoaPW0yM1dU3fbo1wm/gQGsU5IwZ1pcBpdSprVYfnyJyjohs\nFZEkEbm7mv1eIvKpvX+5iLSstO8ee/tWERlW2zrrs/x869v8U09Z10natLFaS+3aWd15s2dbrSj1\n97m5WfP2bdliLey4ZQtceCE0aWJ1BX74obVNuwCVOvWIqWESNBFxANuAIcBeYCUw0RizqVKZa4HO\nxpirRWQC8E9jzHgR6QDMAHoDzYGFQBv7acesszo9e/Y0q1at+uuvshacTigqsr6ZFxRAdrY1iiwz\n07qmlJxs3ZKSrNZRxTIRXbpY15smTjy1l2uvL5xO60vAJ59Yo/0OHbK2h4RAp07W9ElxcdbyJeHh\nEBZmzZ4eEGCNpPT1BU9P174GpRo7EVltjOlZU7na/CKnN5BkjNlpVzwTGA1UTiajgYft+7OB10RE\n7O0zjTHFQLKIJNn1UYs669TWrTBokPUBV15u3crKrN/bVNyOxcfHGoXXqpU1HLpvX6v1FBZ2oiJW\n1XFzgwEDrNvbb1v/rr//bq2ttWULLFwIqanHnnzWzQ08PP57c3e3tjkc1l+RI29w5P0K+mNr1Rh5\nelpf0k+G2iSoKKDyggh7gT5HK2OMKRORHCDM3v57ledWtDNqqhMAEbkKuAogNja2FuFWz9/f+m1N\nxYeQw2HdPD2tDylPz/9+w/bxgeBgK/mEhVndSU2b6gdSfePmBu3bW7fLLvvv9uJi2Lv3vy3gzEyr\nW7aidVxY+N8vJSUlR35pcTqt5FZxgyPvV9DZ11Vj5eFx8o5V7+c0MMa8A7wDVhff8dYTFQXvv19n\nYal6zMsLWre2bkqphqs2gyT2AZV/xRNtb6u2jIi4A0FA5jGeW5s6lVJKNWK1SVArgQQRiRMRT2AC\nMLdKmbnAJfb9scAiY42+mAtMsEf5xQEJwIpa1qmUUqoRq7GLz76mdD0wH3AAHxhjNorIo8AqY8xc\n4H1gqj0IIgsr4WCX+wxr8EMZcJ0xphygujprimX16tUZIrL7eF5oJeFAxt+s41Si5+NIej6OpOfj\nSHo+/tfxnJMWtSlU4zDzU42IrKrN8MbGQs/HkfR8HEnPx5H0fPyvE3lOdJ4DpZRS9ZImKKWUUvVS\nY0xQ77g6gHpGz8eR9HwcSc/HkfR8/K8Tdk4a3TUopZRSDUNjbEEppZRqADRBKaWUqpcaTYJqyMt7\n1AURiRGRn0Rkk4hsFJGb7O2hIvKDiGy3/4a4OtaTSUQcIrJWRObZj+PsJWOS7CVkGtXc5yISLCKz\nRWSLiGwWkX6N+T0iIrfY/182iMgMEfFuTO8REflARA6KyIZK26p9P4jlVfu8/Cki3f/u8RtFgrKX\nDHkdGA50ACbaS4E0JmXAbcaYDkBf4Dr7HNwN/GiMSQB+tB83JjcBmys9fgZ4yRgTDxwCrnBJVK7z\nCvC9MaYd0AXr3DTK94iIRAE3Aj2NMYlYkwpMoHG9Rz4Czqmy7Wjvh+FYswUlYE3w/ebfPXijSFBU\nWjLEGFMCVCzv0WgYY/YbY9bY93OxPniisM7DFLvYFGCMayI8+UQkGvgH8J79WICzsZaMgcZ3PoKA\nM7FmhsEYU2KMyaYRv0ewZtvxsecY9QX204jeI8aYJVizA1V2tPfDaOBjY/kdCBaRyL9z/MaSoKpb\nMqTRLi9or3jcDVgONDXG7Ld3pQFNXRSWK7wM3AlUrMcbBmQbY8rsx43tfRIHpAMf2t2e74mIH430\nPWKM2Qc8D+zBSkw5wGoa93sEjv5+qPPP2caSoJRNRPyBz4GbjTGHK++zJ/htFL87EJERwEFjzGpX\nx1KPuAPdgTeNMd2AfKp05zWy90gIVqsgDmtFcD/+t7urUTvR74fGkqB0eQ9ARDywktM0Y8wce/OB\nima4/fegq+I7yU4HRonILqwu37Oxrr8E29050PjeJ3uBvcaY5fbj2VgJq7G+RwYDycaYdGNMKTAH\n633TmN8jcPT3Q51/zjaWBNXol/ewr6+8D2w2xrxYaVflpVIuAb462bG5gjHmHmNMtDGmJdb7YZEx\nZhLwE9aSMdCIzgeAMSYNSBGRtvamQVgrETTK9whW115fEfG1//9UnI9G+x6xHe39MBe42B7N1xfI\nqdQVeFwazUwSInIu1jWHiuU9nnBxSCeViJwBLAXW899rLvdiXYf6DIgFdgMXGGOqXhQ9pYnIWcDt\nxpgRItIKq0UVCqwFLjLGFLsyvpNJRLpiDRrxBHYCl2F9kW2U7xEReQQYjzUKdi1wJdZ1lUbxHhGR\nGcBZWEtqHAAeAr6kmveDncRfw+oGLQAuM8as+lvHbywJSimlVMPSWLr4lFJKNTCaoJRSStVLmqCU\nUkrVS5qglFJK1UuaoJRSStVLmqCUUkrVS5qglFJK1UuaoJRSStVLmqCUUkrVS5qglFJK1UuaoJRS\nStVLmqCUUkrVS5qglDrBRKSdiJRVerxIRMbXUd2DReSPSo/T7Jnr64SI7BCRfnVVn1J/hSYoVe+J\nSF6lm1NECis9nnSSY/EWESMi0cdbhzHmbGPMp3VxHGPMQmNMl+ONpcoxZ4rI/VXqb22M+a0u6lfq\nr3KvuYhSrmWM8a+4b6+Ae6UxZuHx1CUi7saYsppL1n+n0mtRqjraglINnoicLiLLRSRbRFJF5KWK\nJbkrtUSuEZEdwAZ7+z9EZLv9nJdF5HcRuahSnf8Ska0ikiUi34hIlL1rif13q92CG1NNPO4i8oqI\nZIpIEjCkyv7/HMvu/lsmIjkiki4iHx/tOCJyjogkicgDInIAeLNiW5UQThORLXbs74iIl32sq0Xk\nP4m9citNRG4EzgcesI83yy7zny5DEfERkddFZL+I7BWR50TEw95XEdu99uvYV7l1KyKj7ZhyRSTF\nPp5Sx6QJSp0KSoHrgTCgPzASa+XTykYAPYBuIhIJfArcAkQAqfY+AOzrQzfb9TTFWjX1E3v3mfbf\ntsYYf2PMl9XEcz1wNtAJ6Ie1IuvRPIW1Qmkw1gqlb9dwnJaABxADHO1DfqJ9/LZAN+COYxwfAGPM\nq8DnwGP28cZVU+wRoLP9unpgrbR6Z6X9LQABmmOdg7dEpKL1+wFwsTEmAOiKtbqzUsekCUo1eMaY\nFcaYlcaYcmPMDqwlywdUKfaEMSbbGFOIlXhWGmPmGWNKgeeBQ5XKXg08bozZZu9/BDhDRJrWMqQL\ngBeMManGmHTg2WOULcVKOs2MMYXGmF9qqLsYK4mU2K+lOq9UOvZTWAmrLkwCHjLGZBhjDgCPA5Mr\n7S8AnjLGlBpjvgAMEG/vKwc6ikiAMSbTGLO2jmJSpzBNUKrBE5EOIvKdiBwQkcPAg0B4lWIple43\nr/zYGOME9lXa3wLr23+2iGQD6UAZUNuBEUfUD+w+RtlbAF9grYj8Wbmb8SjS7KR5LFWP3byG8jUS\nEQGaceRr2Q1EVXqcbp/LCgVARQtqNFYX4h57FGOvvxuTOvVpglKngneBNUBrY0wg8ChWV1NlptL9\n/VRKNiLixpEftCnApcaY4Eo3H2PM6ir1HM1+rC64CrFHK2iM2WeMuRyIxOqy+0BEYo9xnNocv+qx\nU+37+VjJsEKz2tZtjDFAGlbyrlz3vuqf8T/P/80YMwKry3QBML02z1ONmyYodSoIAHKMMXki0hH4\nvxrKzwX6iMi59mCKW4GQSvvfAu4XkbYAIhIiIucDGGOKgRyg1THq/wy4RUQiRSScI6/THEFExotI\nczsBZNuby2t5nKO5sdKx78a63gawDusaXEcR8cVqaVZ2oIbjzQAeEpEwEWkC3Md/r80dlYj4icgE\nEQnE6tLMBZw1PE0pTVDqlHALcKWI5AGv898P5GoZY/ZjXZd5FcjAak2tx7q+gzFmBvAaMMfuMlzH\nkSPxHgRm2V2Ao6o5xGtYgwA2AsuxEtbR9ANW27HPAq4yxlS0Smo6ztHMBH4Cttuv61n7dVXcXwps\nARZXed7x6sVcAAAgAElEQVQ7QC/7eDOrqfdBYJP9utYBv3Ds62uVXY7VJZgDXGzflDomsb64KdV4\n2a2oNGCk/ihVqfpDW1CqURKR4SISJCLewENYF/RXuzgspVQlmqBUY3UmkAwcBAYB/zTGlLg2JKVU\nZdrFp5RSql7SFpRSSql6qUFNFhseHm5atmzp6jCUUkr9DatXr84wxkTUVK5BJaiWLVuyatUqV4eh\nlFLqbxCRY82u8h/axaeUUqpe0gSllFINSFZpGXMOHCK9pKYpGRu+BtXFp5RSjVVWaRlvp6Tz3t50\n8sud+Li5cWlUGNfGNiHC08PV4Z0QmqCUUspFTJkTHIKIcPDgQXbt2kV8fDxBQX7sTH6R/PwdlJVm\ns6AonndLz6MIT0Y2CWZis1A+P3CIt1PS+WhfJg/HN+eSqKoT+Dd8mqAaoYKSMqYv38PU33cTG+rL\n9QPj6VO6EtbPAu9A8AkBvybsix/Ad/t/YcGuBQR4BnBnrzuJXL6TrI+m4BETg0/nTri1SSTbJ5qD\ne/I4uDsX4zSccUEC+7ev4Pc5nxLctBntTh9Ay9jOlO0swFlYirOgDAz4nRXFhj1b+O233/Dx8aF/\n//5EROSQmjoDN4cPHh7BeHiEICEjWJDj4MsDh3ACD7VuTml6ES8t3EazQG86RwfRrZknXWUrnmnr\nYN8aKMqBoY/xszOXV9e+SrBXMMPjhjPQ0RGzaBnOnBzKc3IwJSUEX3oZ+/JCWLPAum7bfWgLAsPz\nWfPNFzg8PPD2D8DbP4CErv3wOOBG4bp0nAVlBA5rQVZgEQsWLMDb25uoqCiaN48gMCiTwoJNHM5d\nT3FxGq3ibmabWxceSUrFITCmaQinefvwy6aDZBWUkF1QSmFJGRf2jqV32SpY+iIUHoJ+17K39QDe\n3vgBghDkFUSQVxBnhvSi6Zrd5HzzDaV7Ugi/5mrKew3il1nbQYSmLQOIiPVH3A6SlbKD/UnbyDmY\nRo9/jCGuRTdy5u3EWVSGT+cI3NoGsGH3FvLz8yksLKSoqIhOnTrRpEkOu3a/QWHhbqKjLsIrYhwv\n7Mmh2GkI9nAQ4u6gT4AvOfvzmftHKhtTD3PZaS2Z3NETx/d3QkkeRPXARHZjU2AoG/L2sj5jPck5\nyYxqPYoxPn05+PQzlO7dS8CQIfgOG07yAR/ys4spyi+luKCMFolhBDfJZ/mcT0nbsZ3EgUPoNugf\nFP+SgbOwDDcfd9x8PXBE+5Lqdoj169ezZ88eunXrRu/eiexMfoqiolQCAzsRGNiFA+6dWV/kw7rc\nAjblFTIkLJDxIUE8/d0W1u/NYXCHpozq1JSO6d8g2XugKNv6d4juxc62Q3h/w/v8lvobw+OGc0nC\nhfD+p5SmpuIICsIRHIRHQjtyYnqwfeUBUrZkEdclgq6Dw1nyydsc3LWTpnHxNGvVhuaOVvgW+1GS\nkkvpgXzconzZ0DKD39csx+l0IlJOt+7L8fPbgb9fB1Id8bxZOpbWbOca7+8Z3fppvL0DGRgWyM0t\nm3Lvtr3ct30vXQJ86Rroe+z//A1Mg/qhbs+ePY2O4jt+xWXlvLc0mfeXJZOVX0KvliEkZxRwbuFc\nHvb4mHLvUDzchKziHG6PCGGljzcAnSM6k3YohZHfZjJstRP3li2gsIjDOeWs7n4bpZ6BIBAa6cfh\njP0UHlpAeckeIlq2oigvF89cDwY0uwAPNy/Eww28HWws3sUfbrvIp4jIyEgKCgrw8PiTdu1+weHw\nxd3Di9zSIl4z17FOeuLEjY7+3mSXlpG2MQuPHbk0D/bBTaDwUBqzPR8mzu2A9ULD4jlQls/T3uUs\n9PUmLigOYwzFyck8Mq2c4HwQDw/cgoNJ9WlHcvNBFHhHENLM+s+dkbKFsoK5ONwdePn5UJybS/fg\nIbTw74CbOHAP98FgWH9oO797JOHn54untxeHDqXRucsPBARkAuDtHU2u8eWj4kEslsFEe3kQ5OFg\nY0Y+XivTkYJy3B1CsI8n/cpX8i/npyRKMgTFgG8omzM3cU1kMwocngT4hHC4KIdxPxQwdI3Bqwzc\nm0fiCApmT4YPWzpcjLuPF36hPmSmHqY09yucZbsA8A8Nw9vLj6iiVrQN7o3DzwP3MB/y9hziW881\nZLjlIiL4+Pjg77+fZs1+Jyj4IB4eYfj6tmRbzl6elYfIkgjCPD3JKXNSnJSD+45cpNwQ7u9JdIgv\n/vuW8prXGwQ4SnGEx2MObuL+0EDmBlhLQoV6hxLhHkKHBdsZ9yt4ePrg0749uWv+YH3iVWSFdkAE\nvHw9cJYfJC9jMc7SZDx9fGnaKp6Dm5MY0PwCgj2a4AjywhSWs6U8hRXuSRRLKd7e3jRt2pTMzNV0\nTPwFT88CAgLak5e3lZlmLHOtCekJcncQ7eXBls0ZeCfl4jDQIzaE1bsyeMrxJuc7lmEQxDuI3V6+\nvOZZzHx/P7wc3nRv2p0/kn/j9jnldNzlxC0qEvIKSPNsxdY2Eyj18MfL151mrYLY9cd6SvK/RSgg\nrmsP0vfsop3pQVxAJ5zuTnxahZHmfZgFW5eSK4UkxrXn9KGns2Xr7TidK9m+vQ++ASP4KL47B0rK\n+DLhMPu2XIO7ewDdun6En5+1FmR2aRkDV27F3+HGgp5t8XHU/6EFIrLaGNOzpnLagmpEHp67iRkr\n9jCwbQTXnx1Pj9gQyn54BPdfp7BEenHt4ev45OozeW3znfxxYA03ZWUx3L8VEe0eZM8d91C6MZ2v\newuLRxjePOsTNr+yC8kupMuaf9NiUBcKhg7mu39PwWnccPcdRIsu59C7XySZH2yg2FnI3OQ36Dv5\nQg77BPDr4i00kxD6OzvQZeAZHPT6iqQdS8nPb8aff/Rn3LhLmV7mxdqDhxjF1wzy2kb/+Oe4dfZu\nMnfk4mzuQ3bncOZ0iab1Z2ORAzlcW3wzbq3OYvK5/ty06HrKygq5KesQl/gE4+x6FzteuIpiRwG3\nXlnK0LMuZVjxBDZO3UJAyUESt3xIlxETSA3y4/s3vsDhEYrDewxnTu5F85wi8pbsI7loI3tLtzLw\nmhtZtnwlG/O2EeMM56y8RKLOS2TT4Ts5dOgQSUmn4+7oQa/zL+eqDbs4JKWMMF9whXcKLVo+wQWL\n93Og1JDfO5x/tG3Kax5bkelPs9+9OXcUXUXHnv9Hm1YZ3LLoRgLLS5mRspvWZ0wga3ckB1Y8yZrO\nfszv7sYdl7xM1k+ebFySSlDeLhJXTyHusXv4NXkrm37ehXfQWQSEd+H86/tx+ONNlGcXs+PwOvaT\nwqDLbuDHeSvIOpDPkLIuJMS2xmscrF47jrIyX3Yk9aRVq0sI6DyAJ/7cRkl5Efc67+Os0B7sLL2O\na7el4NfMl7wYX545sw1nb3gT0p9lp4lmbMGNXNJlKLmeXzF3w3tcVgQT8otpMu5N9lx/D8Vbnfze\nTlj4zwgeOPd+kqceJmtbLu13f04Lr1RCXnmJaQ+9iiC4e59O2/7DGDCiLenv/4HzcAlLD8zBJySE\nbpdfwrIpP9DMI5TE/Cg6/qMvuZEL2bbtB0pKfFi3djDdup3P3jYdmbt9P4PcVzOi/FOGJr7EtZ8d\nwiM5h7IwL3w7h3Nz71Z0XXQXXuuX8bZjIlPdx/LxVZ24cuFE8osOcfmhTCaHtyWw/b3sfOUaylJ2\n8cZIDzIGNOXFTm/w0/N/EOA8RMy6t2h78RD2xTZl2y+zcHMPwOF1Ab5hXbiguz+5C/ew33c3SzZ9\nylln38h3vy4nMCSAUeXdiNjsRVrUozjdVpKQcD9+vu15ZOtuNuUXMaVTHAnhQTTznc66Py5n1erx\n9Oo5G1/fOII93HmlXSwX/LGDJ3am8nhCbdfVrP9q1YISkXOAVwAH8J4x5ukq+72Aj4EeQCYw3hiz\nS0QmAXdUKtoZ6G6MWScii7EWaatYtnqoMebgseLQFtTx+35DGld/spqrB7Tm7uHtwBiYewOsnQo9\nLiVn4NOc8+9fKQ/+hkLfH3j0tEf5Z6kD58xLSV4YTVmpF82feoptnUK4bsENnLflZgJzmjD65q44\n5n3EvvfeY1mXBEJbxjHy1vtY/1MWO39K4cxgTzyDvAi/MpFv3n+e7Zs3UdCiHYmJiYwe9A8yP9rI\nfv9pZLb6ioiIobRJeJYPPpjKMt9QFrVox11xzbg0aA9r113Os6tuJDknmkdHJ9KxXTgT1yXxxsYH\nOSNtMTL+E6ZmJ/LA12to2u7fRPj78eagN4hZ/zklXz3B7iVRGDc/Yqd8xHOZnzL/j5+4cON9NG8V\nyohL49h3ww1sTt7GxugIotsnMuq2+5j/XhKyJ4ceXg78+jSjvIcHnz56L3nhURT5+DNo0CD6tOtO\nxkcb2R/1Poea/kDbto+Re7gb0z/7jO/6DaPI159Pu7QiJHceKzc8x/OrbiajMIwpl/dmmZTwwdZN\nrFx7JT6BzSi67Adumr2ZH/f8iG/0DBJCWvPGoNdp+v0DFPw0l90/ReA/YACOp+/l8h+uIH7z6bTf\nezpdB8fQ84wgUm+8gU2HDrAl1J++542nVY+RfPXyOs4I8SAECL88kT0Zm/j+zVfIa96KEg8vLrjg\nAmLzQsj8cj17zn4MvMvp2WMuP/zwK18n7WJ+l9OJ8PZiZtfWkPoKv236iqdW3kfbyGDevqwXEzfs\n5KwtH/PAjtehy0Ryzn6aGz/fxvL0+Xg0+4wx8WN4NGES8sFQ9q8IJntLOdGvvsKWxCDuWnw3fTac\nR3RGewZc2JaW7GD3v65mVa+O5DrcmPzMq2xZns/W73ZZ7yNvB2GXdmTjxsX8+MmHlHXogX9gEFdc\ncjn5M3eQXrCA/Z3fJCxsIAnxTzJ//jLmpaQxv/NpDAgN4J22vqxbPZbPt/bni239eeKfiXRuH85V\nG3dx/fpnmJT6FQy4iz8TrmXsm78SET+DQveNTP/HdNolLaV01l3sWtwcZ7kXUa++ym8xBdy98D4u\n2/II/o5Axt3VnezHH2D7kp9Y3SqS1j37MPRfN/PnooMc/HEP3f3c8e3eBP/RLZj12H0klwgSFMIN\nN9xAgI8/m+c/wX7fj4j1u4aEPrezPDuPMWu20zZtN+/36UTr1q0BKCjYzYqVowgJ6UuXzm//5//4\n/dv38t7eDD7t0poBoQEu+qSpndq2oGpsC4qIA2uNneFAB2CiiHSoUuwK4JAxJh54CXgGwBgzzRjT\n1RjTFZgMJBtj1lV63qSK/TUlJ3X80nKKuHvOn3SKCuLWIW2sjdsXWMnp9JthxMsE+fsw+excCn1/\nINb9bP6Z8E/oMIosx0WUZJUSNaopAYMH0z2iO5en34dfZjjBwwuIjA8m/MYb2dozkbKSYvon9iAw\nLIy+57Sgf7AnxaVOHCNa4RHqw8ArrqUoqjVupSUMPON03IO98b7IQWbcXIIOnkHH1i/j7R1Aq+Ej\nWRzThg5Fh7kxtgkhIb1JcfybLZlRXNZlCRf0jCYxwJcvMz6mf9pPLO19D7QfweR+Lene5VfynZn0\nDriGmKBYnD2vYc/vrXAWFhH76NV4t2nD7d3vYGTyvygyhbQ53w/3kGCCnnmSzdERROQVMurSq/EJ\nCGDgyDi6eLqR6xAChscRHtuSvpdfS6G3HwH5OfTp3QuPcF8KB6/gUNMfaFIyluioC2nfvj2FZ5/L\nXg9vJhRk0DHAl2bNxvHOxgdIy/PluZGF9I4L5ebYJkzb+TxSnMuGYf/G28ePp8clEBj9JWWFkdzZ\n+VWa+jWjtPfd7P01FA+/cpo/fC/NA6N4IfF12u7rx47IVbQfEYZXsybkTRjLllB/Yr386DduEpHx\nwQwdGEVwqZP9wd54tggkoVc/fHsPoNjhQZfY5rRv3x6/Xs3IOuMLikkl3vdBvL3DGHruuSzv0g+v\nwgJeDXEn3tebJlE38Nb6a3GXPF4eG0sTH09mx/lw+64P+DGsHzuGvkRQUDAXDijGo+lsfMrbcV+f\nB5Am7chLuJfsTaWE9Q4k4Kwz6dWsFzcWPkF0RnsKeieTeGYU/meeSeqIoWQUF9K3fReCmjSl94g4\n+sf6U17mJKdXM7xiA+k85FxMm84UFxczdEB/fAP9CLoolvQOM/A63JJ2Qc/h59eEVgMHs7Bjb8IL\n83gtoTn+3pF4N3uDudtPo3/MVsb3CKNToB/fFc5jUupXfNP2cjjrHjpHBzPmzBQOu62ji9+FtAtt\nB73/jwPpgygvKCX2xrPwP+N0BscMZlLqHTjzHMSe78AvxIeIRx9hS3wM/kUlDOjYE9/AALokhtLV\nz51Mp8FzcCyeXt7EnTOGMl9/vA/uxVmQTxk5HAyYTUBOT/wX9aewsJQbN+8h2tuTUTlpzJ49m+xs\naz1LX98WtGxxDRkZC8nK+vU//8/va9WcBF8vbt6yh/zycld81NS52nRW9gaSjDE77dmeZwKjq5QZ\nDUyx788GBolI1SW3J9rPVSeR02m4bdY6ikudvDyhK57ublBWAvPvhbAEOPt+EGFXzi4+3vE0Ye6t\n2bjhbL5bv5+SvXvJmLOEgO5x+JcvheQlbP5tP6XbfNjTfjX/PvwE6QXpbPt9GfsK8+jo7kfB089R\neuAAuYtScHca1jiFpfN2YZyGHxf/jNPdA9+0PSx44yXKSkvZvvspPNyDidh4IbmL9nGwuJS7UnNo\n4hD6rFrKqpUryS4o4dWfy0iMdNIjdDYHDnwNSQtp/ce7/Bg/kYt8hrEtv4iVaSvZXjSfKLfBfLgI\nNqUe5tAnn1Cankv0OV54b34ZyopZ9+1e/HMiWNl2LvesuYOC0gKWzpqOm4cnnQ7kkPXqqziLyymc\nm4TD251fs0pY+d0uSktL+WXVGgL9/XDu2c667+eRm7uJ5KyXCC47g+DF51K8M4et+UV8Vu5Jz/JC\nyn5dzPbt262BBAccXN3jdwKLn6S0NBu3le/S5cAvvNbueialeXGwuJR3179NGfl4ZY/n+e934ywp\nYd/dD+Es9yT69Awcyx7FOA1bvsrGy9edZdFf8O6f75KbmcGiOTNoGhxG+5V/kvf995QfLsFrfQYl\ngZ4s357D5t/2s3PnTlLSDtDc253di74n5+ABDh78nkyv+YRnjqH8ywBK0wv4YF8mB8Sdcw/uYvXC\nBZSVlXHX55tJywvhmi7TyNx3L8Y4CVn0AN5ieLTNzTyVnEZ+aT5PrLyPJt4xHEyawCe/7aU8L5+0\n12fh2TyM8OhN8MvLZKXmk7qigJL2aUx1vMLGzI3s3bKR9Sk7aeHhg9/UmRSsXUvhn+l4ZBezL9CL\n3xbtpbiwjAULFlBghMDsgyyf+h5lJSXs2vtvytxziNx9BYe/3U1puZPrtu4j2NODIeuWsXLpEkrL\nnTz87WGCfdwZF/8xSUlPQ+4Bgn97haQWQ7mi6cUsyDzMzpyd/JT+HuFuify0oi0/bDpA/ooV5P6+\ngfCzYvHZ+wlkp7Dqu1147QtjS7ufeXLX/eQU57By3hzynWV0dfMm86WXcBYWkT0nCUeIFysLnCyb\nlUROTg6LlywlJqo5XrmHWPD2q+za/Rbl5fnEJ95NeU4JM5bsZHdRCU+3jeHicWMpLy/n888/p6LH\nKybmMry9o9ie9BTGWMnIx+HGc21j2F9cyqf7s1z4qVN3apOgooCUSo/32tuqLWOMKcNaNTOsSpnx\nWEtGV/ahiKwTkQeqSWgAiMhVIrJKRFalp6fXIlxV2fvLkvklKZOHRnagdYR1sZqV70FmEgx7AhzW\n7yeeXfksDnEwZcTrdI4K4+4569nzyGPgcND0mTcgMJryBY+y6ptdNGkZyNWXjKW4vJgnf3qERR+8\nRbP4Npz5zIuY8nIy3pxC3vL9+PVqRpfzWpO2M4cFXyzlzz//ZMCAAQy/+DL2bdnI2iXPkZOzitbx\ntxHQJY68X1N5evNessvKmdajLYmtWrJgwQIe/XIdhwpKeGZcfwID2rNjxwuYRY9BcCydz38Bfw8H\nN23azkO/PkS0fzRTxjyMv5c7b3y9lox33sV/wAD8rnoJsnawb84HrFmwhw5nNOemsZezM2cn73//\nItt+W0qv0ecTffElHP72O7I+XUnZwUIiJneg1WmRrFmwh+/n/khWVhajxvyTVl17sPzLz0ja/gLu\n7v4knvEy7qG+ZHy+jVs27cbf3Y13T+tGUFAQPyz6iecXbKVj80CuHHIJpaXZpKy9FxY8AAnDOPfc\nOzhUWs6Dm1YxY/MMzks4jzsGns3KXYdY9toUClevJvKxx/AedSv8OZPNs74mbWcO/c9vy7nthzFz\n60x+/OwDnM5yRjz8JH6JnUh77HGyPtuEKXMSfWUnmrQIYOU3ySxcuJDAwEDGXnYlIsLi6S+xecu9\nBAR0ov3gB8FNSP52By/uSuPs0ACuPb03mZmZvDPvF77bkMbtw9oxqu+FHDr0Kwd/uxM2fYWceTsj\n23RlXnoOz637kEPFh3h50FMMbhvL8wu2suPJZyjdv5/I5/+NW+II+PU1fp+zBXcvBxdNPodQ71Ce\n/Pkxvv33CwQ2acK5z7+KR0QEaY89Sc63u/CI9KPtpHYU5pXy0+drWLFiBX369GHMpVeSvmcXSz9/\nlpS9HxMVdSHN+p1NyZ5cZq5NYUdhMc+2b8lZnRP5/fffee7rtWzYd5gnzutG25ZjSN0/i7JFD0J5\nMbEjniTBz5t7t+3mzp/vwtvdm49HvUiHyGAenPMnaU8+hXtkJKEPvAHA4XnPseqbXST0aso1F04g\nszCTJ7+7nxVffU77/gPpeMvtlKakkPHu95RnFRE6qjXdR8aRtPYgn06zEs15Y8dx2rgLSdu9hpQ9\nU4hs9k9CE7rh07MJ7xfn0d7Lk7NDAwgPD2fIkCGkpKSwY8cOABwOL+Jb30le3ib275/zn//vfYP9\n6RHoy9sp6ZQ3oAFwR3NShnuISB+gwBizodLmScaYTkB/+za5uucaY94xxvQ0xvSMiKhxbkFVyeGi\nUl79cTtnt2vC+F4x1sb8TPj5aWg9CBKGArAxcyNL9y3lssTLaBEUxcvju9Jp1zpKly4h4rrr8Ihp\nCQPvYfOOUHKziugzMo644Diu63odxQs3UlSQx7Crb8I7Nobg88+naIcDBAIHx9KubyTNWgWw4o9f\nadY0kv79+9O+/0Caxrcis3Aafn5tad78AoKGtSTN38FnWTlcGBlGxwBfRo8eTZYE8sWfB7n0tDg6\nNg8mvvWd+KfuRFLXwZl3EuHjx+MJ0WxL+YSU3BQeOe0RmgUGcuUZrWgybyblublE3HorxA/CtB/D\nr0sdBAS7c8a4BPpG9mVg9FkcmLcMv5BQeo08n7Arr8C9eSyF63Px7hCKd3wwZ1zQBu9QJ2vWr6Bj\nx47Ex8fTf+IluPlmkpW9mNiYK/DyDSHk/ASm+ZezJq+QxxOiifT1ZsCAASxOKWPvoULuOqcdQYEd\niIm5BP/ls3C6e8Lo1+kQ4MuFzcNYvP1NPB1eXN/tesb3iqFDE1+YPgXPxEQCR46EM++gKKIfvy2B\nyNaBtOvbjGu6XENAoQdJS5aSOHAIwZFRRD7xOOKfQHFSLkFDW+DZxJfeo1qRmb+X1NRUBg4cSGiz\nSPqNu5BCx0LKyvJI7PgSnqGBBJwZxSsUUlDu5JH4KBISEmjVqjVTVh4kMsiLK/vH0bz5eMKDzyRw\n6YeYsNZw2o1cHRNBmFsJX2z9hAHRA+gU0YnHx3QiMWsX5XNmETJ5Mr7du8FZ97A/txnJG3LoPrQF\nEaGh3NHrDszaFHIzDjL82lvxbRZJ+A03YMpiKc8pJnhkK5rGBdGuXyRrN67A09OLgQMH0qp7r/9n\n7z2D47qyPM/fe+kNMpFwCSS8944kAIIONKLorciSKFNmqlSlrmmz0z0zOxu7sxHTsds7sROz3dvb\n3VXV5VWSSpREiqKXKHoLGnjvPTJhMwGkz3xvPzw0qOrYiO3Z7dodKXS+EDyRefP6c+85//O/VOza\nwzLvo1Zbyc35M4zr7ciJBv5qboEKs4E9CRZeeOEFIoY4fv5omn1ldvaWpZCZ9RZGv4Sq5QNY/220\nifn8x4I0Zudv07vYw7/f+O9Jt6bw3+0vorzjLqGeHpL+9Z8hJufDpj+iuUkHyNQfy6U8sZw3K94k\n8lkXolZNw+v/AtPWrRhrNxIYEtE4jOiL4qh6IR1Dmp+pmTG2bd2OzWajYtde0jYtI0lRsrL+GICW\n+iQGY1S8Ovr8ebLq6mpiYmK4e/fumi4p6QAWSzWDQ/+ZSMS7pn8rPYnRQIirc57f+x7z+5Z/ioGa\nBNK/8P+0Vd3/5WdWn8+2ooAl/kFe4R/dnmRZnlz9dxl4D8WV+LX8M8p7jWMsByP86e4C1i6ot/4C\ngiuw5y9gVffTtp8So43hlcJXAMiKUfMnXRcYtSQjv/QNACIlL/PUd4oU4zDphUoA9oB1B7lTJkaL\nZOLTMgCwHv82mtRaBGkIlUWHIAqk1MlExQDxYh4qlQpBECjeZ0JjDKDzH0QQVKhitLxfb0OWZb4X\n1QFgNJpoEvIxEOaN6jgA4mybyJ8Q8Bs0RMoOAtBgkTCtXEOOaaAiSYm7fjNPz5HBe3SWbkJfqMTd\npgr+B2bCeayLv4FGp1La4NuAza1G2paNRq9HNBqxnvhTBJUeQRgCQKNTEU4eBUmgMm8jAImZ2eTv\njhIJqIg1HlL6NsvCrwr01M1HOWxUIOs5haW0S2lk6gNszlXakBNzgMT5ENPpNmST4mio1w6h8TeT\n6XiZBEMCKlHgz2MmSVyZ5+mWo8r4qdQ8lP+UYNRAw4YxBFHAbrJzdLYKCYmEHUrbdfn5GGpfI+oZ\nR+MIApBaaCUQN4ZGMlFaUgZA2a4tJBR5WBpOQKN2ADBWEcfH6RpOLYvkm/QIgkBcST2uqJFtCUE0\nKhFBECicjcXgjzCzYReodZjVKuqF20hRL7XZ3wYg2arn30zfZU5vYejI6wDI9lIeRv8VRtFNZb0J\ngBdTX6ByLB5nUghDVjIA5m270RbuR/IOoM22ApC3OYagbo4ETRZ6vZICkdNgwGT3E3VuQqOxIqgE\nrkf1vUAAACAASURBVG1LYFIn8McRpf56vZ5pWyUCEq/kK+Ou1yVT4opDEiR8NaeUMYg1key7SlST\nTk7iVkWXrOd7fZ8ykJSDYc9eALxlP6Tb/wJFcU3ExGoB2LJSgGPewNwGC6ZYG4IgYDnyQ0S9DYId\nCIKAqBKJJjgRozp0KykABMMTWLNnmOu0MtOveIj+fnYBuyDyQtsy/jZFp1ar2bx5M6Ojo4yOKvl6\ngiBQkP/fEwrNMjb207V1vz/RSoZey4/Hvvwep3+KgXoC5AuCkC0IghbF2Jz/R585D3xr9e8TwA15\n1VkqCIIIfIMvxJ8EQVALgpCw+rcGOAh08LX8s0kwEuUX94bZkpdAWaqywJnpgae/gJrvQlIRAP2L\n/Vwfu85rxa9h1iouQM+FC5g9c/y4/AhvP5kCoOuBE2/ESq3ulwgt7wDQevUiglrF/eQxHkwpwVrv\nsxUgzNLlvyE0Po4sy7R2PcOktTDbKuB1BwkGZ1mOXMTvtNPySRuSFGUmGOZDIciheRnT1TFkSeZ2\n/yyjyzI1umnanjUCIPRcwuhZYihDx+jErwD4oO8DZDnMonk/Z2cWAfD/9MeoRfhPjgaaxhRd0z0v\nBn2YouW/BWcH4UCA4Yuf40/S8r5wE1/YhxSKEpmzIPlGWfj7/4Tk8+F0OnHOj2OJZNF7T/HtezxN\niDFjzLUn8PjjTwA461pkQYTvDAXxPVZysn5xfwS/pKJcGqS3txcAdePPQaVhMGGFhYW7RKUov2r9\nSwy6ZB4LW5kJhpGjUWwf/5aZpAz+w3wcM8sBvO4gPV0ayuIbie/530CWcTunocPJSGaQn4wo/RHs\nW4SogfDwdRZ/8xsAmpubCcleDJ4seh44AZhyvougkph8bKLn3m0A/nzciQWR7zzxEHYpp/J3mmax\nakE7+YyZmRkIedE3n8Gdkkxf9B6SFMQT9NAxcRaVuZZfzZmRZJlAby+WrmauFW3n50+U3xxpn2fa\nY6fG/D6aZ3+rzK07N1AHJFqyFzjdexqApesTCGoNvvs/x/fwIQBPWxpRiWqCQ3FM9C4iy1Fc8+8i\n+ZNovziBf3mJoCTxt2Ev5X5Yd9OJFIoysxTg9sgKFWYvPS2PlTjOZBOW0R7G02MYnlPOzncn7uIL\njBGyHuAnE3MALPz0Z8T4lvg/ig9yvnVa6cs780ioWcffQ/uHyLJM26WLEGfivPkpo0ujyBGJQJ8E\n0XkWf/vXRObmmJqaYso5QYo5j85bU0TDEkPDf4moMuAdLeTBB+/Ssezj9uIy381KwpBoYPnO5Frc\nad26dRiNRu7cubO2zq3WahITdjMx+Q7RqHIYUQkC309P5MmSl6ee5zerL6P83xqo1ZjSHwKfAt3A\nB7IsdwqC8OeCIBxe/djPgXhBEAaAPwX+3ReK2AaMy7I89AWdDvhUEIQ2oAXlBvZTvpZ/Nvm4aZKZ\n5SA/aMh5rnz4N6DWQ8Pz4flp+08xqo28VvQaALIss/ibd9AVFpKwdTNvPxxhaSXIsyujpBbEkpZv\nhlv/Ed/8NF23b1CydSfW2ATe7nqbwICbYN8i5m0OBDnE3N/9iIGBAVwuF5u3bEGWoePuJJOT7xKV\n/GRl/isWpibob3zIj8ZnCMsyf5ybTMTlI9C3yK/uj5AYo+PY+gza2tpY8rjh1v8C8flIZUcZG/s5\nS75J3u95n62pWym25fKT8VkC/f14Pj6H9dSrRBOT+ctrfcxNLDPWuUDFzgzUGhU8/gnd927hdS+y\n6dQbLIYWOdN/Bm+jE8kXwbovn8jsLJ4LF2lsbESj0VC3sZaxznnmJlYYGvorNJo4HI7X6Lx1nbnx\nUX48PkupWc/mJAsrD6eYWfTz07vDHChPpjDRwK1bt5A8k9B2GqpfRzDbGZ/4Nfen7jPgHuCHVX9I\nSFbzo/EZlj/7jNDQEI4//AP8EYl3H43RcXcSSZap2J0HrnYYuM6js++jUqnZcPQE9yfv83j6Mcv3\nJhEtWowb0vCcO4dvZobbt2+TkZFBVnoOz66MEvAvMTHxGxISXsBiKaT5ynnalrzcWVzhjzKSiBVE\nlm6O82RkgUdDC7y1PRedWuTRo0dK/QMehM1/Sig0g9P5Cb/u/DW+sJc/qPwhXd6AYqx/9WsEg4Gk\nV1/mes8MA65lHp0bxJpkoLjGCo0/QVpy8fTiWew5+eSWr+eD3g8ILHjxtcxg2piCyqxi7kc/Zn5+\nno6ODmpqazBbTDR/Nsb8/G38gTGysr5PJBii5dNLvDe9wGQwzH+bmYy0FGLlwRRvPxwlIsl8d2sO\n09PTyg3k+n8AYzzRujdxOs/j9Q7yi45fkGJK4WD2Pj5yLjDvWWLxvfeI2bcPVUkZf3dzgBVPkM47\nkxTUJGNNTYQHf81UbzeuoQE2HnwJtUrDrzp/hfeJk6gnhPVwIXIwyNyPfsyjR4/QarVs37MZ31KI\nniftzMxcJT3tDWoOfJPpgV7+c2sPRpXIN1MTMG9yEJ5cITS2DIBWq6W+vp7BwUEmJ587sVLTXicc\nXmR29uqa7lRyHFa1ih+Nf7nB0f+kGJQsy5dlWS6QZTlXluX/eVX3P8qyfH7174AsyydlWc6TZbn2\ni8ZIluVbsixv/EfleWVZXi/LcoUsy6WyLP+J/A9QlK/l/7VEJZm/vzNEqcPClrxVfi7/IrR/BOUn\nYdWtNOIZ4dORT3m56GVi9bEA+J48IdjXR9wbr/MHO3Jx+8L89r1ufEshag/lKKi/FRdtv/3fiYRD\n1Bw8xqniUzyYeoDrZh9ijAbr7gJsr7yC55NPuHv9OhaLhdpN68gsi6fz3hiTk+8TH99ASf1xbI40\nblz4mF9PznPMbqO4KhkxRkPX7VFu983yel0m27ZsQpIkRi79Fcx0wfZ/R27uv0aS/Lzf+hcsBBb4\nZuk3+X56Ir3eAJ0/+wWCVkvyD9/irYZc7vbPce3sABqdirJdeVD5MnLrB7Rc/YTEzGx21B+lJrmG\nd9p+w/KdcXQ5Vix7a9EVFTF9+jTt7e1UVFSwblcOGp2K5tuXWVi8T2bmD6g78joqjYZf375Lny/A\nD9KTiNmSirQS5tcXuvGHo/zZi4Vs376dmZkZ5i/9TyBFEDb9CamprzE/f5t3O39JgiGB1wr2c8xu\n4+2JWZx/9yO0OTnkvXSIhoJETjeO0XlnkqyyeGK3HIcYBwuf/RVdd25S+eI+Xqv5DgmGBK40fkKw\n3415k4P4b7+BHAzy5De/YWVlhZ07d7LxSA6+pRDN939GJOIhK/MHVO87zOzYCH/XNYBBFHg9MxHT\nRgf+1ln++mov8SYt39qSR0VFBW2trUiPfgzJFVhK3iTGXErH0E94p/sd9mTt4c3cdRSZ9Py2vRfP\nxQvEHj/OKztL0apF3vukl4UpL7UHs1Ht+LcQCTDw3p/jdk5Te+QlXit+nTn/HJ2fPwQZYrakEf+9\n7+J78oRb586hUqnYvHkTpVscjHXNMzz0S3RaO7nFr5OzroYnn13mr0ac1FlN7Cqxo8uPZe7+JO88\nGuXFEjsvblJuIN03P4ShW7D5vyE97w9RqfRcbf9zmmaa+Fbpt3gzIwW/JHPnvQ+QVlaIe+MN/mhn\nHkNzXs6e7iESlli/Pwtq3wRXB81nf4XOaKJm1yEO5x3mct8l3DdG0WZZMG8pwnrsKNOXLtHR0UF1\ndTV5lSnEOUwM9r0HSKSmnqK0YRdCRg6fBWVOJccRq1FjrLYj6FWsPJhaW9s1NTXo9frfiUXF2TZh\nMGQyMfnums6kVvEtRzxXZj2M+IO/7y3n9yb/9XNifC3/xXKty8XQnJe3GnKfx55afgsRP9R8b+1z\nP2v/GVpRy7dKvrWmW/zNO6isViwHD7I+M46azFg8rQs4CmJx5MdC5mYi8UU0N7aRXbWe+LQMThac\nJF1KQRgMYNqQjKARiX/zeywkJjLmdLJx40bUajUVO9JQxzwmFJ4lLfV1RFFF3dGTfBqXjl+K8seZ\ndgSViKk2hd8Oz6ERBV6tyyAuLo6SkhLi+08jxedD6XGMxmxssZv5aOQeBbYC6pLrOJoUS2Y0jOrT\nT7Hs24faZuP1jZlk6rTMdy1SstWB3qSB2h8wtaxhdnycqhcPIAgC36/4PtXOPKTlMDE7MxAEAdup\nU/TIEpFIhLq6OvQmDSVbHXijH6JW2UhLfQ2jxUph/RY+wkCSRsXRpFh0ubEIdiMf9rjYkpdATqKZ\n0tJSHHEmrP1noPQYxGWTmnqK+aiGh86nnCg4gUbU8MeZdqpanhLt7yfhB99HUKl4Y2MmcQsR/Mth\nKnakg1oL9T+kuX0KURSoOXwCnUrHsbxjpPdYQSNgrk1Gl5eHaetWWicmSUxIIDMzE0e+jdRCM0vB\n97Faa7Ba11G0pQFsCVzyRjhut2HVqInZmkq3KHF3ZIHvbs3GqFWzYcMG0qPDiHO9UPcWgiiSkfkm\nN+cm8Ef8vFX5FqIg8K3UBAouX0CORIn75hskmHUcq0rF07GIzqwhd10SJOQjl53g8aMuYu3J5NXW\nszl1M9nmbAwdEfQFNtTxBmJPniSQmkrH2Bjr1q0jJiaGki2p6CzTLK08IDXtNURRQ83hl2hJysQV\nivBnWckIgoB5o4PLy17c/jDf25qDRqOhpqaG+NELyCotVL+OVhtPWuobfDT2BKvWwrG8Y5SaDdRb\njRjPfoSuqBBDdRV7S5Mpjjex0DJPbnUStmQTlJ9kWYijv62Lsh270eoNfLv029QslcByBMsX5lFf\nejqSJFFXV4cgCFTsdKCNv4FRV4fBkI5KrWZq3zeICgKHQkq+k6hTYVpvx98+R3RJMTJ6vZ66ujp6\nenoUdysgCCKpqa/i8TxjZaV3bS1/Ny0RlSDwy8m53/eW83uTrw3UV0xkWebHtwdJjzOwr0wJOCNJ\nCrQ8rRZSKgCY989zaegSx/OPE29QblThyUmWr18n9hvfQFwNQr+elYwpCv4Mg1KWINBjfAFfSGR9\nvVKWVWflh3wTkAlVKAAHdUIC/Vu2oAmHqS4tBSC9OI7EkjtEA4nExSlB6OxN22gt30j57ASFJuU3\npcoELhFiT6KFxBilvIbiRFLlKUbit4OoTFunbj3TIYljGTUIgoBWFPm3vS3oAn48h5VUPYNWxRFj\nDBIy6XV2pQ32ElrDVWhVEkX1mwGotdfysmcfQ6YptDkWAGL272OgoABHNEpSUhIAJVsNmB2tSMs7\nUamUPjE2vMhwai77A4toRQVE0JxnZkaSOJmh9K0oiuyJn0IrB5kvUgCrOm0CLVI+AnA0RwnAF5r0\nfP/uNVzxiWj37lPaXpDIxogWn04grdimjFX5q3QvJZGfImKKVXTHHUfY4dnAUNYsolFJHwgfP8aC\n1UKJVrt2WMmq60JtmMcoKKAYjVbH7N4ThEUVJ0xK36pitJy1CZiBV8sVAIXD4aBB34NfMCKXHQcg\nMWEvjT49hUYDOVbFnXzMoufInc8Zra1Hm5kJwGuVqWSFRAJpelRq5TfGbTtx+U1sqEpDFFWIgsi/\nNH4bS8jEXLGCYBMNBsb27gVZpsah1MNs05FR9xApqsaeqIB4UotK6Vm3lbgVN5styrhoC2x8IIYp\n0WnZkKn0UU1lKRV0MxlbC0YFtBKK2USHX8W+5HyMGgXc8i/dTjLGR5k8pABURFHgVGI8GgmEEmV+\noDXRpm5AkmWqttYDkGnJ5FTgEDOaBcIZCpOcKj+focIC0hfd2GxKPRLy+9GYFlgcVNaBLMvc1tvI\nnh7Bfeca/yDmegfIMiuNzjVdbW0toijS1NS0pnOkvIQoapmYfG9NZ9dp2BUfw8euRSLSlxNy/rWB\n+opJ87iblnE3b27NQf0PpJHDt2Fh8HduTxeHLhKRI5wsOLmmW/ztb0EQsJ16ZU2nHfMRVMH7kwoi\nSJZlnnUtkKD3kbGkBGvlqEzlZA7PTN184FJyMtxuNyMaNXl9/YTuKO4Ir28AbWw3831bmRlRgref\nLazg1+opbPwct0tZhOf6Z/ADR90yclgCIGn8ClHUXJ20IkmK7pOpTiwqgSK5f61uFZ9fYSgtg5/G\nKsY55I9gnAjQrYlydUhpg8/jps8lUmqZRjt6E4Dw2DKJ/lg+tnxOy6xCdtI3Po7PYCCn8TGReQWU\nuhy4hCBGGX6wjpA/AsDHYgyaaISs2xfX+u3snId4QaB2fJXJKxohffoyQ2TyeDwAQDAa5M7CHGWG\nCJLnnlLf8XEyOtu4sHknn60GuOdGl4kPwX0xyODsCgADLW0Eo2rKxSZwjwEQ0yajltX8WPMeEUmp\nW1ckgkqSSL5ydS3YHlSfJbTsYOxp9lq/3U7MxOEaJ3z3cwA8/jA3Fr3sRoOqa3F1goyQGejiiVzG\n8LgCGGiabWE2LFGjd7O01KqUd+kSVu8yf7v1RZYiiuc+2LeEiMBZj4fgqu7Z036Mmiil4ftr/VY5\nls2MZoG3Qx8q3RaN0idLOKadSJ9+BkAksozadoulsVrG2pV2DvmDDNnslHU0MvTsMQC3BmYZk6J8\nI6giuqjcQMwjV9ET4nN3Oj6fD4AzQzfRCgLrVYPIsjK3ii5fwGcw8rclG9b6SDXqxaWRuTiuzIVI\nKETrUIBc8wKxE0r8J7IQIHM+iU+t9zk/rGDJ2traCKrV5DU14W9W5pbL9QGCHMvwo1wWnV6eeLyM\nB8O8KEbofXiPoE8Ze3WCAX1hHN7GaeVpDsBkMlFYWEhbWxvRVcYIjcZGUtJ+nM5zvwM5P2GPYyYU\n4Z57mS+jfG2gvmLy4dMJDBoVx9d9gTDyyc/AGA8lyq1ClmXODZyjIqGCPJvCiCz5/bg//IiYF15A\ns3pS9S2FGGmbw1RgoW16mR7nEuOdbcxNjLO+Ig2h4yMILhPomUdYiTKWv8jpntOEoiFaW5XNqsjn\nw/3RRwBMTr6LIGjxTTXQdnMCgNPOBRwaFRlTw3Te/hxJknn74ShVSTEUBcHXPgvhALS+z0r6dma8\nUYaGhhjyDPFg6iGH0qrwLN4hEJgi0NFBpLsb14HDfORyMx+KMNA0QzQsEcwycvqJgipsv3mNaFSi\nMgNoVLjMvE9doBVpsvVwbuAcAI2NjVhNJlLGx3GfOYssy0xOfYBRV41/IYmBphnmQhHOuBbZQwBv\nXxfOwX6m3H5u9c1yPCuBaL+b8IwPhm4hrjhxpu+nra2NcDjMpyOf4gmtsCcpi/GJt5FlCc/HH4Mo\n0rZtJ++vsgG03ZxAo1fRb5B555FijNpvfEZsYiLpRje0nkaOSHgbp/Fmy7TLPdyZuEMwGKS9vZ3C\n+Hjo7sbX+JjllR5WVjoxikcYbl3AtxTi3uIKw6Eoe/zztF//lHAoyIXWKYJRiSP2WHzPnIpxe/Iz\nEEQ69HU8efIEgDP9Z4jRxlBl0jLtVBJQF95+G6m4hKc5BZxxLSJJMl33pjBnmhnyB7ncPo3Xvchw\n81NKK/JQTz+GmW7CMz4iwytMFixxZfQqc/45BgYG8Pp8lMSY8Zw/jxwOMzX9EbLsJ7Kwn47bCljg\nvekF1ALUuobpuK0Y2V/cHybFomM7aryrKEKe/pKILY+RqJ2mpiYCkQBXhq+wLaUKTWSKxcWHRObn\nWfn0U+b37ONWIEL3ip+Z0WXc0z4MBRY+7XTi8YXpfXgX/8oK1SXx8PSXIEXxPnWCAMNZc3wyoKA7\nnz59SnJSEnafD/fp0wSDM8zN3yAl5SVUopa2GxN85FrEIIp8a30lkVCQnvu315aveZMDaSWMr/25\nq66qqgqfz0dfX9+aLi31NaLRFVyu5yDr3QkWrGoVHzkX/wt3kv865GsD9RWSQDjKxbYp9pYlY9at\nEtV7JqH3MlS/ARrFhdY538mAe4Ajec8ZqzwXLxL1eIh7/bU1Xe8jJ1JUZvfBXNSiwJlnE3Te+hyd\n0UTRsbeUN3/aP2Kl0YnKomX95i0sBhe5M36HlpYWsrOzST18GF9jI/7hHqanP8Zu30/hhkIGn83Q\nP7vCrYVlXnYkkFNeReet69zqdTE85+U7O3JRJxrwPpqGnosQcGPe9kP0ej0tLS2cHziPSlDxeuW/\nAWSmpj5g8fRpBIOB+lMnCcky52YW6Xk4TazdyP6GTIbmvDQOztH2+RUyyiqIb/g2jN5DGmvD3zaL\nsSKRhtwdXB25ysjECKOjo9Ru2oS5thb3+++zuNCI3z9CZs6rxNqN9Dyc5tzMIiFZ5g+rSlDrdLR9\nfoX3n4wjA28cKAQRfE0uaHkXDDbsW7+F3++np6eH0z2nybJksbvwLfz+EeZmb+H++BymzZt5oSSf\nWwvLDLpWGHw2Q8kmBy9WpnDm2QSTo2OMd7VTtmsfQvZWaHmXQPc8kjdCekMJScYkPuz7kPb2dkKh\nEBsPHUKMicHz8cc4p88iCBqKK19Bisr0Njr51dQccRoV361dR2BlmZ57t/nw6ThFyTGs35hG2Okj\nPDoLTW8jFB8if30DPT09jM+Oc23kGgdzDpJm34PLdQFvyzMFffjqKcpjjPxmco7RjjlWFoNsfjGT\nzHgjHz2boPveLWRJovTYmyBqoOk3ylirBMp3bSIiRfiw70Oam5sxmUyU7j9AdH6e5Tu3mJh4G6t1\nPUXrt+AaXmJyxMPp6QVejLdSW1PHcPNT+kenuT8wzyu1mZiL4vE+dSJPtMBUE+q6N8nIyKSlpYWb\nYzdZDi/zjZI3UatjmZx6XzmMhMNUfeeb6EWBX0zO0f1gGrVGZN/+XEIRifOtkzRfvUhcajoZe78H\nnnHk3s/wPXWhL7DRULqL7oVuGvsbcTqdVK1bh/XQQZauXmVy+F1kOUpm1ily1yXS3eTi/Iyb/YlW\nsvMLSMzIov3GZ2vrUJcXq6yFL4Al8vLyMJvNtLQ8pza1WKoxm4uZmHxv7basE0UOJ8VyadaDN/Ll\nw6F9baC+QvJZl4vlQIQT679we3r2K4W5fMN31lTnBs6hU+nYl71vTec5+zG6/DwMG567NLruT5GS\nayUn18bOoiQuPB2h7/EDCuu3os6uh6RSIo8+Jti/iLEmmY2p9QqSrPkKi4uLVFVVYT16FFQqRm7/\nr0SjK6Slvk5ZQyqSJPPT1klk4JWUOMp27GZ5fpa3b3YSb9KyrzwFU10KobFlpIe/gNhMVLk7KC8v\np7O7kwuDF9icupk0WznxcVuZHjjN0qXLWA7spzg5iTKzgUt9s0wPeCiqT+ZAhYMYnZrzF6+zNDtD\n5YsHFKOt0uK/fgc5JGHaYOdY/jH8ET8X711EpVJRXV2N7dQpwlNTjLX+DSqVGXvSPorqk5ke8PD+\nxBxlZgNVCXEUbWqg6/5d3n88SkNBIhlpVvQFcfibhpB7LkH5SbLzComNjeVy02Xa5tp4pegV7PZ9\naDRxuD77GZHpaWJfOs4rKXHIwKVbI0iSTFlDKq9vzGQ5GOHCh+cQRJHShl1Q9RosDuO934sYo8WY\nn8Dx/OPcn7zPoyePsNvtpGdnY9m7F8/1z3A6z5GQsIOkjDSSc6w8fDLF1VkPp1LiyS0pJz4tg89v\nPKB1wsPJDemYqpJALRK6qUDLqfkuGzZsQJZlfv7w54SkEC/lv0RKynEikWVmTv8dgk6HZd9e3nDE\n0+UN8ODmOEaLluyqRI5Vp/JgYI7WG9dIzisgPr8Cig4gtZzF+8yFsTyBLEcu9Sn1XOq5RF9fH5WV\nlVi3N6BKTGD6zi/w+8dIS32Noo3JqLUiv3kyzlw4wquOeEobdiFLEr+4rLj5jq9LxVSXjLQcJnL9\nx0qaReXLVFZWMjc3xwddH5BsSqbOsZmUlGPMuq6x+P57GDduJKmwgCNJNs5PLtD/xEnOukQqc2wU\np1i4dKcZ11A/lbv3IRQdhJgUArc+J7oUwlSTzP7s/ahFNZ8//BxBECgrK8P28stIoQCTY+8QG1uH\n0ZhNYV0yHVYBdyTKCbuS4Fu2cw+uoQFmRhQwtCAKmGqTlQcOZxW3pEqloqKigr6+PlZWFLevIAik\nOk6xstLF8krn2to+YbfhlyQufwmZJb42UF8hOfNsAodVT33OKg2iFIXmdyB/N9iyAAhEAlweuszu\nzN3EaBVGiND4OP7mZiyHD68F0qcHPbhdPoo3K+6+E+vTsM70EAkGKd62Q2Gh2PAdvNMKg4SpJhm1\nqGZ/9n4WhhbQaDUUFxejsSdhbmhgVvUAs6kIi6WKWLuRxGwLl0I+NseayTToyN2wESEmjntjPg5V\nOtCqRUzr7ajULsSp+7DuDRBFqqqqcGlczPhnOJSjMDikpp5CvD+H7Pdje/llpb52G5pONwhQWJes\ngCWqHSy33cdgtZG7vk4Jkue/iHdQjzpBYfuuSqwiKyYL14CLgoICjEYjMbt2IqTHsRBtJDn5CCqV\ngcK6ZGYtIh3+ICeTlcB35Qt76VfZmVkO8Wqt0i/G6iR03usI0SBUvYooilRXV/Ng6QFaUcuh3EOI\noha7/QChq82IVgvmnTvJNOjYFGvG07KAPctCrN3IuoxYSuwmFlvuk7OuBnNcPBQfIqpKJjAawViV\niKASeCn/JWwhG3OuOdavX48gCFiPHCaQ5SUUniclWXm4r2RLCndMElHgm454heFj6w5uz2tQiwJH\nqxyIBjXGsnjUo58gW1Ihcws2m428vDxuzN6gNL6UwrhCbLZ6dKpkAp8/IWbXLlRmM8ftNuwBmcUe\nN8WbUlCpRI5VpxIfnMM9OUZpwwvKPF33TfwrJcjBKKaNCsPCodxDaF1aJEmiqqoKQa0m9sgRFjTP\nUIlGEhNfRGfUUFBj51LET7JWzY64GOLTMrDnFnBtJEBNlo30OCP6wjjUliiqkXNQehwMNkpKSghp\nQzybf8ahnEOIgogj5STa7giRKSe2V5R5dDLZRvpYgJA/SvEmB4Ig8I0NaQiDTQiiSNGmbaBSw7pv\n4R1PQjSK6IvisOltNKQ2sDy2TG5eLmazGX1xMezJJqR243Ao5acV2ejKN2CJwFabsh6Lt25HpdH8\nzi3KWJkIAvian+c1VVdXK0nCbW1rOrt9P4KgVgiVV6XGaiJdr/1Suvm+NlBfEXF6Atztn+X4ne20\n9wAAIABJREFUujREcRVaPvoAlqeg4uW1z10fu85yeJmjeUfXdJ4LymS2Hjy4puu+N4VGryJvvYJe\n216YRLm/n7DRRmqh8tqKXHYSr7Qbfew06lgFbbc/Yz+OFQfGVCNarUIDozuxhXBqGNtK+ZoBDNXG\nM28QOKhXUFNqjYal0t1EENlfqGz4okGNNekOMiJyuUJH43A4cCW40MpatqdvByA+fifmhzqkLBP6\nMoXG51hiLBXDISKZJsw2xbV5vCSOdO8o5FajUisu0HDWKUKRQozZKwiCgCAI7InZgyqiIiVP2SwF\njQbpVA6ySiLZcgAAs03P6HoroiRzNFHJIbPn5jOQtIEYAuwsUvrNUBKHUX2DiC4HUqoAKK8sZ8I0\nQamuFItWQYQl6V9A3yKj3lmMuNpvJwUDcYsRNBVKfwiCwEGbG23YS9KGBmWgdGb8iW+BrMJYrpSV\nbEpmY3QjUSFKaZmCoDSsW0dghw5VQEN8vPLdnOpEOrN1FAYEMg3K+OXVb6XXXMg6a4h48yrlVKmI\nTn5GxH5wDUFpzjOzqF6kIa5htW4i9vF1CCsRjAcUnVmt4uSMADJkbFQQlJnxJrYLI0iCioL6LUob\ncnbgE/ei0rjRZipt2Jm+k+yVbLCyhqCMOXoQf1UUiyd3DUFp3ZBAv13NHlmHanVu6ap3MSeY2Z2h\n1F8QBawZzYiyn0jBq0p/GAz4snzIyBzIWh1TcyGW1kRko4BpuzK36mPN1I6GCcSoSc1XxvlwRQqF\n3n7CyQUYrYoumvMSAakWY8o0wipKcathK/qIHl2aUg+A8J5YhACYJ5X+cEsSfUlqSoYChH1hpW7m\nGPJrN9F97ybh0Co7hEWHLjcWX8vsmvsuMTGRtLQ0mpub13QajY34uG24XBfXAB+iIHDCbuPu4jLO\nYJgvk3xtoL4i8nHzJJIML33Rvdf+AWjNULh/TXVu4Byp5lRqkmsAxZW3dP4CxtpaNCnKhhzyRxh4\nNkNBjX2Nsy7oWSDZO0GrLg+PX5nkwSkZSY7DGPxAecIDiLqiaGQNndrnLoblDCdIoL7oWtM9jAdt\nWCa75zniqF2VRmzYjWa4WVFEIxh8VwhE1xNwKYbMH/Ezqh3FseJgxa24NsLDo6jHoizXLBOJKDkk\nkTEvsT6Je2kqpNXFqx5vR4XE7ehzaknfQhEgYQqfW9PZFm2ExBDNUvOabilvGs2YgHxX4UGTZJln\ndhU5zjCRUaUNbl+YATGBfHc3HqcSvBc8Q+iEbrz+HUiriMSOlQ5CqhA2p20NhSXfGUWICCzVPHfD\nOAZ9SALcsj8n+rdNNLGiMtEYfk6c7PVtQCMMoXUriMRIJELMYgyTxkk6PAqDWCS6hL8wgP6BRHRW\nAV/0R8LMxqjI7/YSXEUkPp0Dv8pAzkzT8zjGynUEQWJ5efPabzZHmlFJKuJnnz9aoLnvI2qR8WQr\nsRJZlkkZ8DGapOY+q/MjEiZ1oYdBYxaDHqX8qDdCMFSEUbqK4Fb61z3rJiYUQ5e+i3BUmW/LlhFk\nI2g/da/V7aYuggAUdz6fRy2CA5UcIXX6OQxbF7hGWHLgm8lcq1uvupf4QDzhGaV8KRBA88yPrzLC\nSrBL6dv5AI7pEI8zNSysxnB84/3ERFZ4JGYRWkXW+UaMgBqT/3myLNMQESM8jChUTZIUwm3sQd+h\nxntJgZKfn3ETEaBsOMjA0+e3o/Kdewh6vQw0Pn/vyVidRHQhsMYsAQpYYnZ2lqmp5/Epu/0QwaAT\nt+fZmu5Esg0JhY7ryyRfG6ivgMiyzJmmCdZn2shOUAg4iQSh6xMoOghaZXOfXJmkcbqRI3lHEAVl\n6AMdHYRGRrAePrRW3lDLLJGwRFF9ypqu+94tBGQ6TflcaFUWg69lFkEjY4jehsEbALS0tKA2qWkM\nNjLiGUGWZVyzFzCtpBK89pTI4iLLkSiXF5fZuCIw+ngGWZKZcvtpmvZRrZ6j8/ZqHsjIHYTADD7V\nHnwtyuK9PnadoBwkcyVzDSm4dOkSiCL+dRFcM1cA6Hk4jaATeWhX8XDVkHXfu4VoS6LRY6DftYws\nyXhb5tHbnKgGP4DgCsFgkJH+EaJJUc4PnycqRVnx9uONDBPTl8DSBQVK/sC9wowsUT0VoeeRArm+\n3DFNVBYo9A3Sc3+VL631t8iCiDfUQKBTgSdfHLqIWWXGumBlZGQEAM/Zswi5CSzEthMITCFLMsNP\nZghkGTm3ssJyJIpvycN0ZwvLaZWcb3MhyzLhWR/hGTCamxQgBjA4OEgkGGHWOsvl4csAyolajGJ8\nJLC0emM+41pEDRSOBBluUSD4Hz4dJ04L8RPNuIYGABDaPyBqKsI3GkdkMUA4Guba+DVKtaUMdQ8R\niUSIut347z1B2pyAc/YcsiwzN75CYDbAZK5hbWMcan6K5F9hwFrE2WYFyelrnQUEjKpbCtsJCneg\nqBLp1/dzd1JJU3A6z6GWYhBvOgm0tSHLMmdn3JRG1PhaF/EvhwhFJK50z1GpX2H04U2ikTAsTSNO\nPCBkfhF/q9LOzvlOJvwT5Ify11xkKzdvgi9IsE6N06kg4XoeOREEaMnScn5WOfx0372JqNXRrkrj\nRo9rdS3MoLH50SzcgJluQqEQPd096Bw6bk3dwh1ws7Bwj0h0ibjIepauXkWORDjjXKTQpKfUbKDn\n0fNcp/SSMiyJSXTfu7WmM5TGI2jE33HzlZWVoVaraW5+fphKSNiFKBp+B82Xa9RTHWPkI+eX652o\nrw3UV0BaJzwMzKz8Ljii/5oS1C5/nud0eegyMjJHcr+A3jt/AUGrJebFF59/9YkLS4Iee7bibpFl\nma47N3AUFONIT+OjZxPIEQl/xxyG0kQEownaP8Tj8TA0NER1ZTWiKHJh6ALLy+34/aOkpL8EkQjL\nn37G5VkPfknilCOelcUgU/1uzrdOIctwsjYL19AA8xNj0H4GtDGIZXsJdM4jhaJcGLxAqjmVutQ6\nWltbiUajeC5dwlhbiz4lF5frIqFAhIHmWfLX29HrVHzoXGRpbpaJrg7Kt+1AFAUFRj3oRloKYdyQ\nCmEf9F6mp6eHcDhMTXUNM/4ZGp2Nq/58EXvGcXxPnxKenuZD5yIxKpGDybEMNM0SCkQ43zJFXpKZ\n6jwHvQ9uI0cj0Po+5L6AYEvB2+TCF/Zxa/wWe7L3oNfq6ejoIDgwQKCri9jjJwAZl+sCk/1uvO4g\n5Rsd+CWJS7Nu+hvvI0sSlQ3bGZ7z0jbhwdc0AwIY16cp9D2eCTo6OjAYDFQUVXBt9BqhaIjp6TOY\nzcVYEtbhPneOqCRxbsbNjngL9hgd/U9cLHhD3Oyd5fj6dDRqFd13b8JcP0w1QfUrICsb8f2p+yyH\nljmUf4hAIMDAwABLV65AOEzs0ZfwevtZXm6n74kLUSVQtj6ZO4vLzIUidN66jtEaS8G69ZxvmSIc\nlZTN3WFCk5kKHWeIRCJ0dHRQUlKCxWjh4tBFwmE3c/O3SHYcRdQZ8HzyCe0rfgb9QU6kxiFLMgPP\nZrjdN8uCN8SJmkz8y0sMNT+FzrOADNXfUBCJTu9zoFDOPnp7e/H7/XguXkKdlISlfieumctEo2F6\nG52kFthwJJk441wgEgrR9+g+hXWbibOaOdM0SXjGR3jai3FDBggqaP9wbR411DYQlsJcGbmCy3UR\ntTqWlNpvEl1YoP9BI0+WvBxPslG8MZmZkSUWncpNUBBFCuu3Mtregm9JuVWLejX6knj8bbNrOVF6\nvZ7CwkK6urrWbuNqtYnEhF3MzFxBkp679I7bbXR5Awz4Av+Mu8/vV742UF8BOds0gU4tcqDi+Y2H\n9g/AlAg529dUV0auUJ1UjcOsAB/kcJilS5cw79iByqIYI/9yiPGeRfI22NfiRTPDg8xPjFGybScn\n1qfROuFh+PEkciCKcV2ykl/Ve5m25qcA1G+opz6lnouDF5l2nkMQtKSUfxttTg5Lly9zbmaRdL2W\nA9UpaHQqeh87Odc8ybqMWBp2bUMQRHrv3YDuC1B8EOO6DOSwxFhrD4+mH3Ew5yDV1dUsLS0xfO0a\n4dExrIcOYrcfwu1+TO/jfiLBKKWbUjiUFMuFWTftqyfRDTtfoD43ngtt0/haZxF0Kgxb6sCaAW2n\naWtrIzY2lgPrDmDSmPh0+Cou10XibPUk7HsZZBnXlStcnHVzKCmWinoHkWCUxw8neTyywOFKB8Vb\nGlicnmLx4WlYmkSoOoWxOonggJvP+z7DH/FzKO8QxcXFdHd34754EUSRhMOvYrVU43R+Ql+jE41e\nxc6NDtL0Gj6ZcdPz4A5xqekc2rEBrUrkXPMEvuYZdPk2VLUvATKh5tP09PRQUlLCvtx9LIeWuTv8\nIUvLbaQkH8d69AihgUHutHYyHQzzkt1G/gY74z2LnH86QVSSOV6TRc76Wnoe3EFufR8EEVXtK2gz\nLfhb57gyfAWrzsrR6qOYTCba2trwnPsEXUEByfX/AlHUMTV9loGnLjJK4jiWlUBUhk+GxxlufkLx\n1h0cX5/JvDfEw6eThCdWMFYlQdkJmOli8NktAoEAFeUV7Mvex+3x24xOnUWWwzjST2Levp2lTz/j\nnFPJfXq5wE6cw0TfYxdnmyZIMGt56cU6jNZYum7fUG5lKZXoN9aAAJ6WKa4MX2Fn+k42Vm8kGo3S\n2djIyp07WPbvx+44RDg8z1DnQ5Zm/RTU2nnJbuPpko/GRw8I+ryUbNvBwQoHt3tncTe5lENCTbay\n3to/pLW1FavVypayLRTaCrk08DGzc5+TlLSHmG07EWNi+KRTyWE6lBRLfo0dQYDeLzBGFG1uQIpG\n6f9Hbj7JFyHQ99xVV1ZWhs/nY3h4eE1nTz5MOLzIwuLzJOgDicqrBhdn3P+P9pn/P+RrA/Ull0hU\n4nL7NLuKk7DoFXobAh7ovaogllQKGGBgcYD+xX72Zu1d+673wQOiCwu/494bbFJcbvkb7Gu6rrs3\nUanVFNZv5VClA0EA16NpRJMGXW6scksL++hofkJaWhpxcXEcyj2E0zvJ5LQCa9ZqrVj272e6q4c7\nC8scTYpFq1OTW53Ig6ZpepzLHKtOxRRrI720DN/TDyHogbKX0GZZUFl1XOw4j4zModxDFBYWotVq\nmTlzBkGjIWb3bpLtBwGZ7sZBYuL0pORaOWmPwxuVaLpzk5T8QmKTUzhU4WB8zstK+xyGkngEnQYq\nTrI88IihoSHKy8sxaAzsTN9J59QV/P5R7PaDaDMz0VdWcLF3GG9U4mRyHMm5VmLi9Jx5NI4sw+FK\nB/m1m1Cp1QQaf70aA9yHcZ0dZLjY+QkpphSqk6opKysj4PezcP48xrpa1ImJJCcfZckzxECTk9zq\nRLQ6NUeTbDSNTzLR3UnRpm3EGrXsLEpiqNlF1B3EtC4J4nIgrZbe5geEw2HKy8upS6kjTh/HwPh7\ngIDdfhDL3r0IGg0f9A5jVIm8mGAlvyYJWZI50zhGbqKJ4pQYirfuwOdZJPLsXchuAEsKxooEll2L\n3By7ye7M3eg1ekpLS5l6+hR/ayvWI0fQaq3Ex+9guKOblcUg+bV2is0GCk16Ht+/gxSNUrxlOw2F\nicSZtEzen1Q298pEKD2qJAI/vY/BYCAnJ4eDOQcJSSEGx9/FZMrHbC7Bsn8f4YUFPp6YYXucBZtG\nTUGtnZFhN593uzhcmYpOq6Fw01YWO+8oN8CyE6hitOjyYrnbc4ul0BIHcg6QkpJCYmIizrNnIRzG\ncugg8XHbUanMdD/qR1QJ5FQlcsxuQwAe3ryOKdZGRlkFhypTCEUl3M9c6LKtqCw6qPgGK+45hoYG\nqaioQBRF9ufsB1870agXe9JBRK2WmBd386kuhhKjjhyjDpNVR3pJHL2NTuRVWqLEzGxsjjR6Hzx/\nXkOfH4toUq+5vEHJidJqtXR2Po/7xsdtRa224nI+R/M59FpqLCYuzH5toL6W/4+kcXiBuZUQhyoc\nz5XdFyEa/B333tWRq4iCyItZz115nvMXUFmtmLduXdP1PXFhSzERn6rEsiQpSu+DO2RX16A3m7Fb\n9GzLtGGfCWAoT0BQCZCxiVljIS5PgLJVFN3OjJ2UGtXIUQ/JdsWlaDmwn9tVNUSBo3YFmVZQl0yr\nHEYlCBxYbUPhpm2kRXuRdLGQsx1BFDBUJXItdIcyWymZlkw0Gg2F+fkYnj7DuHUrKosFozEbg6aG\nuSEdeRuSEASBjbEmSlbmCU2OUbR5OwB7y5KpF9WIwSiGylWwQfk36CBfoUuqUDgG92bvpVCzBKhI\nTNwDgPXAQa6mZpOqEqizmhAEgbwNSTxYWKLcYSErwYTebCa7spo4TxNy4X7QGNAkGPClyzT6mtiX\nvQ9REMnJySHZ54epaSz7lJy0pKT9eJ3VhAMyBXUKXdPRpFjyB9pBlinctA2AI1UOav0gqQX0JatA\nhbLjtHuMWMxGMjIy0Igadme8gCXUh8W6gf+TvfeKjSTd8vx+EemTmclMpqMtehbJJFnFcl2uq7vL\nkuXazMzOndHMaKCFpJWw2gc96UkPAvSgpwUELFZYrSCswWDuXNPd5UhWVXeX944myaL3TKYhM5ne\nRughsjKr7tzZuQIkoBvbH0CAPAxGfhH83Pmf//kfnc6FympFe/IzblkcDNotGFUi9joTKreeie1E\n8QAi0Lz3AE22PJqkr8QCNfQ5eWoeI1VIcb5ZId709vZSu7CILAhYLipsOLf7Itvznag00NynvN+v\nXDZ0Ey8xV9fiampBoxK51FtNcyCDungAweQi1/gJ08EsXV1dqNVqPHYPfZW1qLNLVLs/V0RgT5xg\nsrsPHyJfuhQWXftBNzOaArmCzBf9yjjqPHqCdqMPGQF6FGq9cY+LO+ITzGozR2uPKsKtfX2YX79B\n1bgLfXc3KpUOp+Msm2+tNHRZ0VdoqNNrOaETkN+O0XnsE0RRxd4GK8fMBgyxXHkcdV5gUuxGlpV3\nA3Cu6Rz7jAXyYgU220cAJM9fZKK5jbPRcl3XjkPVxLczbC4okJ4gCHQePcHq1ASxbUVFQlCJGPqc\npCa3kdIKsUWj0dDZ2cnU1BT5vGITRS0u5zmCoVsUCqnSZ1x0VeKNp1lI/jQUzn/eoH7i7eroBhVa\nFZ8Vac2AAu/ZmqG+nHQ7sjTCweqDOAxK+Q0pkSD23XeYBwYQirTmeDiNb26HjoOuEry3PuUlEQnT\neexE6fZ/UWVFi0CgoUjIEEUmqs4BMt3NyuJgUBsYcFSRlgSsNoVOrGtu5u4np2kMh+guCsPWtFt5\nqyvQpddRVaH0o71/L63mLTb1HlApXmGwPc2Cfo2T6uOlfngAfSpFqphcDFDY/gpZVlHfU5yogsDp\n1SkkQaTmoCLoaTVq+YXJREyQ0bYUizm6OhnX7KNGE8PpVBabw9Ufsb9CIii40WiU66Rz53jR1cdp\n3zJi8R1pWs34VTJHrOZSP/Z3mtGLOYLmfSXbo0YvkiBxzqbk/6hUKvpiMSRBQF+kNWu1VaR8g6gN\nUWrblc/0mAzsWZgg7q6nqrYOgE/bHXyKhhmzClGrMC2TzQPM0USPLYNYpIOfq+3BpZEIqZpK/Xg9\n+Dlxg5ELOwphQBAE/HVaZOBkk7LZqTUaDrVK5CSRXPMZpb9mLfdrxqgqWOl39gNQX19P8/o6sfp6\nNG7F67ZVniC2dgBHy2aJBTqgk2nYWCTh2V8aW1/WVlGPyJxDW+rbrOMcWTT0VOtKfbvsVjZq0aL8\n/0S9nvuXvkKXzXKuUiEAWewGFisFqgSRnloFrq5p243HtkVIqINK5b2JXSYem8Y4IR5CUxxbnQ4H\nrmCQWH9/qW+qzEVySRvVneUN5MzmHKJUQOj/qNS3v7JayCOTKQoMozPj1R/EKURw2ZVDmFtvwWOQ\nmEwbEQTlffzQoAjrHv++XMOpeY8DlVpk9mXZO+o8dgJkmZnHZajO2O+CvETKW+5bT08P6XSahYVy\n2T139WUKhQSh0Pcl28ViSsS1n4gX9fMG9RNuuYLEsHeT091u9Bpl4BPbhMV7ivdUnGxvt9+yFF36\nAN6L372LnE5juVCmoM8Waa5t78F7048foNbpaOk/WLJ5dvL4kPi2iGXLsow3Xkkja1jWlMlQKKSp\nw8+bpMiLoMK228zkeF3XyKcP75BbXQXg9VqEmCDTHJZK4quG9QdoRImXy6oSnfj7hAJzHF3pLvXD\n/GaUnFrNlKmiZAvNN6Ix+cmpb5b6VjnxkqX6Vu7mlPchZQv0JGV+kHO8XFdOq9vb22zkLPTkXkN4\nCYBEfIxKlcR32zHSeSWwfEtSkVerOX7161LfHgQiCEB9MF/qR212inRBzehiOSB9W35AU7qW+qXK\nUt+qJifZrK5mzq+wwbKpPJGVOsz1T4nFFGZWxO+jyr/Ki+Ye/MU8FmElTiUCv4wlSOeU4PjU2jYS\nKnpidxX1EMCam0OSYSRU1nEbrtmFLbZD762hku1lKoWzICAVRXwp5KnNz7IQr2JhcgqAaDbKM9Uo\nJyL7kDaV58rOzWEKh5lzuYjFFPrzxkyKQrYCnftGKUifHH2OKMvcadhd+sxGf5ocMn8bjZdsEzEz\nFSRo2i7DWrVssJARueNT2HZ5Sea7xjYOj79CfvoEgK14hrl8lo6UyNZ6kWjgH8eqjjO6aSQVV/r2\nKPSElCrNsbVe5ILyjsRHSozHW1VV+kz/tAtBlUNVdaNkq5h4SbjSzg96W+n/1xXJ85w8IwtFMeFY\njOWkHo88VWK2BoO3UAsy34ejLO4ocaJroSjtiSiO61cpFN+bVq+mscfO/KsAUhHmq6qtx9XUyttH\nZW0+bYMZlVVH6j1tvpaWFvR6hXTzrtmsh9BqnfgD5Weo02vZbzFy9ScSh/p5g/oJtwdzISLJHBff\nh/cmvwVZgt4/LpmGloZQC2pO7zpdskWHhlE5HRj37y/ZZp/7cTWasbqUU6lUKDDz9CEt+w6hKZbf\nKMSzSIs7TNvUXBtXRET9fj+hSJyeinCJJry1dRfkNJNZEyNLIwBcDUSQBYHPXj4mekOZNNfHfGhV\nIi1pkcWx4oSb+A05bRUzPgnfrFLfZnhpmD5dN5VLGvKRDFI2S/zWLZK9vUzNz5PL5UhGs/hmE7ja\nfQQCV5BlGd/sNOmtIMGufaUNNT29jSovc19V4Mqokq/0Dr/3MAPerwEU9p6g5VUiX6I6XwlEaCjk\naH3xpER1vjLqo9tiJD4XJRnNQi6NODtM0NjDzNOnFPI5fHEfo9tjnBKPkxpTPJfUmzfIgQDBjo7S\nwrI4GkQqCFQ2juIPXAdgukhZf9vaU4ofJMeCSBqRu/kMd6aVg8X4+Dj2CjU1kecQmESWZYKBGyQ0\nDdzdeEk4HSaRL3A7kuB00EdqZAQ5n2d1O8mYL8oBo5HZ58VcteWHqDJhlgtNTD9Snv275e/IyTk+\niR8gWXyG6NAQiCIrDfVMTiq5QzPP/GgNMgbnM8JhZfGffnwfsbqOp3or04k0siSTGg+xUaXl5lyI\naDpHJpNhZn4JjzWL6P0tSBKJxDzZ1AI+ahlZVsbRg0iMLUROT74pjaNh7yaSDJ15dTmfaPzXyIKK\n6Z0q5p49Lo0jq7qSvq1WMgvKu4xev0G+uYmFZJLt7W0kSWb+9RaO5giR6Aj5fILkTgTf5ASZnv1c\nDe4gyzLZlRhiLMeYWVVKvXj3Drq1PphQlP39getotG6WsyqGl4bZzOR4tpPgosOCnM0Su3W7NAfb\nDrhI7mTxzZU3kN1HP2Zzbqak9i8IAoY+B+nZMFIxuVetVtPV1VViDyrXqXA5B9ja+uEDhfOLTivj\n8dRPopDhH7RBCYIwIAjCtCAIc4Ig/E+/5/c6QRB+Wfz9U0EQmor2JkEQUoIgvCl+/R/v/c1+QRDG\ni3/zvwulyno/tz+0XRv1YdarOdHhKBu9X4PLA07lpCrLMsOLwxypPVKqmluIJxTG0rkBBJXieUX8\nSYIrsQ+8p1XvOKnoDp1HyjGq1MQWSFC5383KdpLx9R28Xq8ik9N3AJYeQNSnTEpNFY2uM9xevk2u\nkOPbQBiPSU9nbTXR6zcoSDLXx32c7HRSZdMz98KvVP6dvYXQ98eoNFqmH91jPjLPXGSOgVYlTpMa\nD5J48BApGsV2+TKZTIb5+XmF4CFDx8EGkslFYnEvM0/uo1Kr6Tt8hPvhGNu5PKmxEKJJg73bzo3x\nTfIFCa/XS11dHda63eD9GknKEwgM4XScxqxzMLQ4xHYuz71wjM/rnIgaDdGhYbwbURZDCb48UI8s\nw8LrAMx/B5ko6n1/SjoRZ2n0FTeXFY9uoH1AoToHkkRvDCFotdgGzjE7O0sqlWLuZQCTTUd9RyOB\nwDCyXODto3vUdXbTUF3NN/5wkeK/hdFjx1yh5dqYj2g0ytLSEr17+hEEESZ+q1D80yvsqvkj8nKe\nW8u3uLUVJSXJfNHgprC9TfL5c66PK3lcn++rV1S7A0mFmq2pQNP7OYuvX5BNJRleGqbOVMeehr2k\nRoNIkkT0xhDGQ4eo3LULr9dLLltgcSxE675q1FoDfv91Ylsh1t9O0nfsBCLwjT9MdjmKFM1i3e8m\nW5C45fUzPT1NPp+nZ88+RQFl5XHx9C/QUPMFY8ExNuIbfOOPYFaJnGlwE7/9HVI6zbVRHy3OCva1\nVzH30o8sScpcaDuNztHA9OP7JHNJ7q7d5UzTGdQ6Lck3QbLLy6QnJ7FdVIhCXq+XjZkwqWiW3Yca\nkKQ0odB3zD57hCxL7D3+CeuZHC+jSSWnSi3g2ufmyeIWgWgar9eLy+XC5fkYpm+QS/rZ3n5ITfUl\n+l37GFkc4Xowggx80bMbTUNDaZMFaOp1oNaIHyTtdhbjju+TJYy9TijIpCbLeU0ej4dsNsvc3FzJ\n5nINIkkZtrZ+KNkuFuN2PwUv6h/doAQFNP1XwCDQDfyZIAjdv3PZPwXCsiy3Af8S+N/e+928LMt7\ni1//7D37vwb+a6C9+DXAz+0Pbpl8gZveTc52V6NTF+G9qDKp8XxZum40OIov4ftAGDaSAg/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DnO1toKoVXl/Sown5PMfIRCXHlvoiiWYL53c0EQVDidA4S2fvgQ5nNaeRNLsprO8mNtf8gG9Rxo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wQNSg0Fk/C9FwJX5XOsPBBHYhqcgLE0k7ztGmd1CjYaTJytiJ51OfV421J4ESsTGc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\nkfx/0tlkef98PKwAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f91fb0dfc50>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% plot the distributions\n",
+ "\n",
+ "pl.figure(1)\n",
+ "pl.subplot(2, 1, 1)\n",
+ "pl.plot(x, a, 'b', label='Source distribution')\n",
+ "pl.title('Source distribution')\n",
+ "pl.subplot(2, 1, 2)\n",
+ "pl.plot(x, B, label='Target distributions')\n",
+ "pl.title('Target distributions')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute EMD for the different losses\n",
+ "------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.legend.Legend at 0x7f91f869ac88>"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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dR5O5OdSHp28Moo6W5S1d6Wdg4b2wexV0uR+ufR7cyla6LFvRKuXC0jJzeG31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\nHcUZpCpZSelZzPp2J59uOIB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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f91fb9619b0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% Compute and plot distributions and loss matrix\n",
+ "\n",
+ "d_emd = ot.emd2(a, B, M) # direct computation of EMD\n",
+ "d_emd2 = ot.emd2(a, B, M2) # direct computation of EMD with loss M2\n",
+ "\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.plot(d_emd, label='Euclidean EMD')\n",
+ "pl.plot(d_emd2, label='Squared Euclidean EMD')\n",
+ "pl.title('EMD distances')\n",
+ "pl.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compute Sinkhorn for the different losses\n",
+ "-----------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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7d6br8/nz56levTrFill+NGvVqmUtxpZSdjk8PByj0ciIESNwc3Oja9euqfoF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\nbkltmULond8/ZcXJRemOS27dvswuRsv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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f91f8ee0278>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%%\n",
+ "reg = 1e-2\n",
+ "d_sinkhorn = ot.sinkhorn2(a, B, M, reg)\n",
+ "d_sinkhorn2 = ot.sinkhorn2(a, B, M2, reg)\n",
+ "\n",
+ "pl.figure(2)\n",
+ "pl.clf()\n",
+ "pl.plot(d_emd, label='Euclidean EMD')\n",
+ "pl.plot(d_emd2, label='Squared Euclidean EMD')\n",
+ "pl.plot(d_sinkhorn, '+', label='Euclidean Sinkhorn')\n",
+ "pl.plot(d_sinkhorn2, '+', label='Squared Euclidean Sinkhorn')\n",
+ "pl.title('EMD distances')\n",
+ "pl.legend()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_optim_OTreg.ipynb b/notebooks/plot_optim_OTreg.ipynb
new file mode 100644
index 0000000..d36b0ee
--- /dev/null
+++ b/notebooks/plot_optim_OTreg.ipynb
@@ -0,0 +1,762 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# Regularized OT with generic solver\n",
+ "\n",
+ "\n",
+ "Illustrates the use of the generic solver for regularized OT with\n",
+ "user-designed regularization term. It uses Conditional gradient as in [6] and\n",
+ "generalized Conditional Gradient as proposed in [5][7].\n",
+ "\n",
+ "\n",
+ "[5] N. Courty; R. Flamary; D. Tuia; A. Rakotomamonjy, Optimal Transport for\n",
+ "Domain Adaptation, in IEEE Transactions on Pattern Analysis and Machine\n",
+ "Intelligence , vol.PP, no.99, pp.1-1.\n",
+ "\n",
+ "[6] Ferradans, S., Papadakis, N., Peyré, G., & Aujol, J. F. (2014).\n",
+ "Regularized discrete optimal transport. SIAM Journal on Imaging Sciences,\n",
+ "7(3), 1853-1882.\n",
+ "\n",
+ "[7] Rakotomamonjy, A., Flamary, R., & Courty, N. (2015). Generalized\n",
+ "conditional gradient: analysis of convergence and applications.\n",
+ "arXiv preprint arXiv:1510.06567.\n",
+ "\n",
+ "\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "#%% parameters\n",
+ "\n",
+ "n = 100 # nb bins\n",
+ "\n",
+ "# bin positions\n",
+ "x = np.arange(n, dtype=np.float64)\n",
+ "\n",
+ "# Gaussian distributions\n",
+ "a = ot.datasets.get_1D_gauss(n, m=20, s=5) # m= mean, s= std\n",
+ "b = ot.datasets.get_1D_gauss(n, m=60, s=10)\n",
+ "\n",
+ "# loss matrix\n",
+ "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n",
+ "M /= M.max()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Solve EMD\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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yfTl0MwB7P90UqJg4PRvlTJdCbbVo4aMcjjyyYl8I8MknOy+389xzUFLixzRq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\ngSsiEhMFrohITP4PrQ161dhEqnEAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f6c14006e10>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% EMD\n",
+ "\n",
+ "G0 = ot.emd(a, b, M)\n",
+ "\n",
+ "pl.figure(3, figsize=(5, 5))\n",
+ "ot.plot.plot1D_mat(a, b, G0, 'OT matrix G0')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Solve EMD with Frobenius norm regularization\n",
+ "--------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|1.760578e-01|0.000000e+00\n",
+ " 1|1.669467e-01|-5.457501e-02\n",
+ " 2|1.665639e-01|-2.298130e-03\n",
+ " 3|1.664378e-01|-7.572776e-04\n",
+ " 4|1.664077e-01|-1.811855e-04\n",
+ " 5|1.663912e-01|-9.936787e-05\n",
+ " 6|1.663852e-01|-3.555826e-05\n",
+ " 7|1.663814e-01|-2.305693e-05\n",
+ " 8|1.663785e-01|-1.760450e-05\n",
+ " 9|1.663767e-01|-1.078011e-05\n",
+ " 10|1.663751e-01|-9.525192e-06\n",
+ " 11|1.663737e-01|-8.396466e-06\n",
+ " 12|1.663727e-01|-6.086938e-06\n",
+ " 13|1.663720e-01|-4.042609e-06\n",
+ " 14|1.663713e-01|-4.160914e-06\n",
+ " 15|1.663707e-01|-3.823502e-06\n",
+ " 16|1.663702e-01|-3.022440e-06\n",
+ " 17|1.663697e-01|-3.181249e-06\n",
+ " 18|1.663692e-01|-2.698532e-06\n",
+ " 19|1.663687e-01|-3.258253e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 20|1.663682e-01|-2.741118e-06\n",
+ " 21|1.663678e-01|-2.624135e-06\n",
+ " 22|1.663673e-01|-2.645179e-06\n",
+ " 23|1.663670e-01|-1.957237e-06\n",
+ " 24|1.663666e-01|-2.261541e-06\n",
+ " 25|1.663663e-01|-1.851305e-06\n",
+ " 26|1.663660e-01|-1.942296e-06\n",
+ " 27|1.663657e-01|-2.092896e-06\n",
+ " 28|1.663653e-01|-1.924361e-06\n",
+ " 29|1.663651e-01|-1.625455e-06\n",
+ " 30|1.663648e-01|-1.641123e-06\n",
+ " 31|1.663645e-01|-1.566666e-06\n",
+ " 32|1.663643e-01|-1.338514e-06\n",
+ " 33|1.663641e-01|-1.222711e-06\n",
+ " 34|1.663639e-01|-1.221805e-06\n",
+ " 35|1.663637e-01|-1.440781e-06\n",
+ " 36|1.663634e-01|-1.520091e-06\n",
+ " 37|1.663632e-01|-1.288193e-06\n",
+ " 38|1.663630e-01|-1.123055e-06\n",
+ " 39|1.663628e-01|-1.024487e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 40|1.663627e-01|-1.079606e-06\n",
+ " 41|1.663625e-01|-1.172093e-06\n",
+ " 42|1.663623e-01|-1.047880e-06\n",
+ " 43|1.663621e-01|-1.010577e-06\n",
+ " 44|1.663619e-01|-1.064438e-06\n",
+ " 45|1.663618e-01|-9.882375e-07\n",
+ " 46|1.663616e-01|-8.532647e-07\n",
+ " 47|1.663615e-01|-9.930189e-07\n",
+ " 48|1.663613e-01|-8.728955e-07\n",
+ " 49|1.663612e-01|-9.524214e-07\n",
+ " 50|1.663610e-01|-9.088418e-07\n",
+ " 51|1.663609e-01|-7.639430e-07\n",
+ " 52|1.663608e-01|-6.662611e-07\n",
+ " 53|1.663607e-01|-7.133700e-07\n",
+ " 54|1.663605e-01|-7.648141e-07\n",
+ " 55|1.663604e-01|-6.557516e-07\n",
+ " 56|1.663603e-01|-7.304213e-07\n",
+ " 57|1.663602e-01|-6.353809e-07\n",
+ " 58|1.663601e-01|-7.968279e-07\n",
+ " 59|1.663600e-01|-6.367159e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 60|1.663599e-01|-5.610790e-07\n",
+ " 61|1.663598e-01|-5.787466e-07\n",
+ " 62|1.663596e-01|-6.937777e-07\n",
+ " 63|1.663596e-01|-5.599432e-07\n",
+ " 64|1.663595e-01|-5.813048e-07\n",
+ " 65|1.663594e-01|-5.724600e-07\n",
+ " 66|1.663593e-01|-6.081892e-07\n",
+ " 67|1.663592e-01|-5.948732e-07\n",
+ " 68|1.663591e-01|-4.941833e-07\n",
+ " 69|1.663590e-01|-5.213739e-07\n",
+ " 70|1.663589e-01|-5.127355e-07\n",
+ " 71|1.663588e-01|-4.349251e-07\n",
+ " 72|1.663588e-01|-5.007084e-07\n",
+ " 73|1.663587e-01|-4.880265e-07\n",
+ " 74|1.663586e-01|-4.931950e-07\n",
+ " 75|1.663585e-01|-4.981309e-07\n",
+ " 76|1.663584e-01|-3.952959e-07\n",
+ " 77|1.663584e-01|-4.544857e-07\n",
+ " 78|1.663583e-01|-4.237579e-07\n",
+ " 79|1.663582e-01|-4.382386e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 80|1.663582e-01|-3.646051e-07\n",
+ " 81|1.663581e-01|-4.197994e-07\n",
+ " 82|1.663580e-01|-4.072764e-07\n",
+ " 83|1.663580e-01|-3.994645e-07\n",
+ " 84|1.663579e-01|-4.842721e-07\n",
+ " 85|1.663578e-01|-3.276486e-07\n",
+ " 86|1.663578e-01|-3.737346e-07\n",
+ " 87|1.663577e-01|-4.282043e-07\n",
+ " 88|1.663576e-01|-4.020937e-07\n",
+ " 89|1.663576e-01|-3.431951e-07\n",
+ " 90|1.663575e-01|-3.052335e-07\n",
+ " 91|1.663575e-01|-3.500538e-07\n",
+ " 92|1.663574e-01|-3.063176e-07\n",
+ " 93|1.663573e-01|-3.576367e-07\n",
+ " 94|1.663573e-01|-3.224681e-07\n",
+ " 95|1.663572e-01|-3.673221e-07\n",
+ " 96|1.663572e-01|-3.635561e-07\n",
+ " 97|1.663571e-01|-3.527236e-07\n",
+ " 98|1.663571e-01|-2.788548e-07\n",
+ " 99|1.663570e-01|-2.727141e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 100|1.663570e-01|-3.127278e-07\n",
+ " 101|1.663569e-01|-2.637504e-07\n",
+ " 102|1.663569e-01|-2.922750e-07\n",
+ " 103|1.663568e-01|-3.076454e-07\n",
+ " 104|1.663568e-01|-2.911509e-07\n",
+ " 105|1.663567e-01|-2.403398e-07\n",
+ " 106|1.663567e-01|-2.439790e-07\n",
+ " 107|1.663567e-01|-2.634542e-07\n",
+ " 108|1.663566e-01|-2.452203e-07\n",
+ " 109|1.663566e-01|-2.852991e-07\n",
+ " 110|1.663565e-01|-2.165490e-07\n",
+ " 111|1.663565e-01|-2.450250e-07\n",
+ " 112|1.663564e-01|-2.685294e-07\n",
+ " 113|1.663564e-01|-2.821800e-07\n",
+ " 114|1.663564e-01|-2.237390e-07\n",
+ " 115|1.663563e-01|-1.992842e-07\n",
+ " 116|1.663563e-01|-2.166739e-07\n",
+ " 117|1.663563e-01|-2.086064e-07\n",
+ " 118|1.663562e-01|-2.435945e-07\n",
+ " 119|1.663562e-01|-2.292497e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 120|1.663561e-01|-2.366209e-07\n",
+ " 121|1.663561e-01|-2.138746e-07\n",
+ " 122|1.663561e-01|-2.009637e-07\n",
+ " 123|1.663560e-01|-2.386258e-07\n",
+ " 124|1.663560e-01|-1.927442e-07\n",
+ " 125|1.663560e-01|-2.081681e-07\n",
+ " 126|1.663559e-01|-1.759123e-07\n",
+ " 127|1.663559e-01|-1.890771e-07\n",
+ " 128|1.663559e-01|-1.971315e-07\n",
+ " 129|1.663558e-01|-2.101983e-07\n",
+ " 130|1.663558e-01|-2.035645e-07\n",
+ " 131|1.663558e-01|-1.984492e-07\n",
+ " 132|1.663557e-01|-1.849064e-07\n",
+ " 133|1.663557e-01|-1.795703e-07\n",
+ " 134|1.663557e-01|-1.624087e-07\n",
+ " 135|1.663557e-01|-1.689557e-07\n",
+ " 136|1.663556e-01|-1.644308e-07\n",
+ " 137|1.663556e-01|-1.618007e-07\n",
+ " 138|1.663556e-01|-1.483013e-07\n",
+ " 139|1.663555e-01|-1.708771e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 140|1.663555e-01|-2.013847e-07\n",
+ " 141|1.663555e-01|-1.721217e-07\n",
+ " 142|1.663554e-01|-2.027911e-07\n",
+ " 143|1.663554e-01|-1.764565e-07\n",
+ " 144|1.663554e-01|-1.677151e-07\n",
+ " 145|1.663554e-01|-1.351982e-07\n",
+ " 146|1.663553e-01|-1.423360e-07\n",
+ " 147|1.663553e-01|-1.541112e-07\n",
+ " 148|1.663553e-01|-1.491601e-07\n",
+ " 149|1.663553e-01|-1.466407e-07\n",
+ " 150|1.663552e-01|-1.801524e-07\n",
+ " 151|1.663552e-01|-1.714107e-07\n",
+ " 152|1.663552e-01|-1.491257e-07\n",
+ " 153|1.663552e-01|-1.513799e-07\n",
+ " 154|1.663551e-01|-1.354539e-07\n",
+ " 155|1.663551e-01|-1.233818e-07\n",
+ " 156|1.663551e-01|-1.576219e-07\n",
+ " 157|1.663551e-01|-1.452791e-07\n",
+ " 158|1.663550e-01|-1.262867e-07\n",
+ " 159|1.663550e-01|-1.316379e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 160|1.663550e-01|-1.295447e-07\n",
+ " 161|1.663550e-01|-1.283286e-07\n",
+ " 162|1.663550e-01|-1.569222e-07\n",
+ " 163|1.663549e-01|-1.172942e-07\n",
+ " 164|1.663549e-01|-1.399809e-07\n",
+ " 165|1.663549e-01|-1.229432e-07\n",
+ " 166|1.663549e-01|-1.326191e-07\n",
+ " 167|1.663548e-01|-1.209694e-07\n",
+ " 168|1.663548e-01|-1.372136e-07\n",
+ " 169|1.663548e-01|-1.338395e-07\n",
+ " 170|1.663548e-01|-1.416497e-07\n",
+ " 171|1.663548e-01|-1.298576e-07\n",
+ " 172|1.663547e-01|-1.190590e-07\n",
+ " 173|1.663547e-01|-1.167083e-07\n",
+ " 174|1.663547e-01|-1.069425e-07\n",
+ " 175|1.663547e-01|-1.217780e-07\n",
+ " 176|1.663547e-01|-1.140754e-07\n",
+ " 177|1.663546e-01|-1.160707e-07\n",
+ " 178|1.663546e-01|-1.101798e-07\n",
+ " 179|1.663546e-01|-1.114904e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 180|1.663546e-01|-1.064022e-07\n",
+ " 181|1.663546e-01|-9.258231e-08\n",
+ " 182|1.663546e-01|-1.213120e-07\n",
+ " 183|1.663545e-01|-1.164296e-07\n",
+ " 184|1.663545e-01|-1.188762e-07\n",
+ " 185|1.663545e-01|-9.394153e-08\n",
+ " 186|1.663545e-01|-1.028656e-07\n",
+ " 187|1.663545e-01|-1.115348e-07\n",
+ " 188|1.663544e-01|-9.768310e-08\n",
+ " 189|1.663544e-01|-1.021806e-07\n",
+ " 190|1.663544e-01|-1.086303e-07\n",
+ " 191|1.663544e-01|-9.879008e-08\n",
+ " 192|1.663544e-01|-1.050210e-07\n",
+ " 193|1.663544e-01|-1.002463e-07\n",
+ " 194|1.663543e-01|-1.062747e-07\n",
+ " 195|1.663543e-01|-9.348538e-08\n",
+ " 196|1.663543e-01|-7.992512e-08\n",
+ " 197|1.663543e-01|-9.558020e-08\n",
+ " 198|1.663543e-01|-9.993772e-08\n",
+ " 199|1.663543e-01|-8.588499e-08\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 200|1.663543e-01|-8.737134e-08\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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oq6JWraoPK41RJ5I5qVlfB70KOd8K1xe9cNz+FO+xCYA+XdcyvNcyABYc2YnZ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\nTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f6c021c77b8>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% Example with Frobenius norm regularization\n",
+ "\n",
+ "\n",
+ "def f(G):\n",
+ " return 0.5 * np.sum(G**2)\n",
+ "\n",
+ "\n",
+ "def df(G):\n",
+ " return G\n",
+ "\n",
+ "\n",
+ "reg = 1e-1\n",
+ "\n",
+ "Gl2 = ot.optim.cg(a, b, M, reg, f, df, verbose=True)\n",
+ "\n",
+ "pl.figure(3)\n",
+ "ot.plot.plot1D_mat(a, b, Gl2, 'OT matrix Frob. reg')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Solve EMD with entropic regularization\n",
+ "--------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|1.692289e-01|0.000000e+00\n",
+ " 1|1.617643e-01|-4.614437e-02\n",
+ " 2|1.612546e-01|-3.161037e-03\n",
+ " 3|1.611040e-01|-9.349544e-04\n",
+ " 4|1.610346e-01|-4.310179e-04\n",
+ " 5|1.610072e-01|-1.701719e-04\n",
+ " 6|1.609947e-01|-7.759814e-05\n",
+ " 7|1.609934e-01|-7.941439e-06\n",
+ " 8|1.609841e-01|-5.797180e-05\n",
+ " 9|1.609838e-01|-1.559407e-06\n",
+ " 10|1.609685e-01|-9.530282e-05\n",
+ " 11|1.609666e-01|-1.142129e-05\n",
+ " 12|1.609541e-01|-7.799970e-05\n",
+ " 13|1.609496e-01|-2.780416e-05\n",
+ " 14|1.609385e-01|-6.887105e-05\n",
+ " 15|1.609334e-01|-3.174241e-05\n",
+ " 16|1.609231e-01|-6.420777e-05\n",
+ " 17|1.609115e-01|-7.189949e-05\n",
+ " 18|1.608815e-01|-1.865331e-04\n",
+ " 19|1.608799e-01|-1.013039e-05\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 20|1.608695e-01|-6.468606e-05\n",
+ " 21|1.608686e-01|-5.738419e-06\n",
+ " 22|1.608661e-01|-1.495923e-05\n",
+ " 23|1.608657e-01|-2.784611e-06\n",
+ " 24|1.608633e-01|-1.512408e-05\n",
+ " 25|1.608624e-01|-5.397916e-06\n",
+ " 26|1.608617e-01|-4.115218e-06\n",
+ " 27|1.608561e-01|-3.503396e-05\n",
+ " 28|1.608479e-01|-5.098773e-05\n",
+ " 29|1.608452e-01|-1.659203e-05\n",
+ " 30|1.608399e-01|-3.298319e-05\n",
+ " 31|1.608330e-01|-4.302183e-05\n",
+ " 32|1.608310e-01|-1.273465e-05\n",
+ " 33|1.608280e-01|-1.827713e-05\n",
+ " 34|1.608231e-01|-3.039842e-05\n",
+ " 35|1.608212e-01|-1.229256e-05\n",
+ " 36|1.608200e-01|-6.900556e-06\n",
+ " 37|1.608159e-01|-2.554039e-05\n",
+ " 38|1.608103e-01|-3.521137e-05\n",
+ " 39|1.608058e-01|-2.795180e-05\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 40|1.608040e-01|-1.119118e-05\n",
+ " 41|1.608027e-01|-8.193369e-06\n",
+ " 42|1.607994e-01|-2.026719e-05\n",
+ " 43|1.607985e-01|-5.819902e-06\n",
+ " 44|1.607978e-01|-4.048170e-06\n",
+ " 45|1.607978e-01|-3.007470e-07\n",
+ " 46|1.607950e-01|-1.705375e-05\n",
+ " 47|1.607927e-01|-1.430186e-05\n",
+ " 48|1.607925e-01|-1.166526e-06\n",
+ " 49|1.607911e-01|-9.069406e-06\n",
+ " 50|1.607910e-01|-3.804209e-07\n",
+ " 51|1.607910e-01|-5.942399e-08\n",
+ " 52|1.607910e-01|-2.321380e-07\n",
+ " 53|1.607907e-01|-1.877655e-06\n",
+ " 54|1.607906e-01|-2.940224e-07\n",
+ " 55|1.607877e-01|-1.814208e-05\n",
+ " 56|1.607841e-01|-2.236496e-05\n",
+ " 57|1.607810e-01|-1.951355e-05\n",
+ " 58|1.607804e-01|-3.578228e-06\n",
+ " 59|1.607789e-01|-9.442277e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 60|1.607779e-01|-5.997371e-06\n",
+ " 61|1.607754e-01|-1.564408e-05\n",
+ " 62|1.607742e-01|-7.693285e-06\n",
+ " 63|1.607727e-01|-9.030547e-06\n",
+ " 64|1.607719e-01|-5.103894e-06\n",
+ " 65|1.607693e-01|-1.605420e-05\n",
+ " 66|1.607676e-01|-1.047837e-05\n",
+ " 67|1.607675e-01|-6.026848e-07\n",
+ " 68|1.607655e-01|-1.240216e-05\n",
+ " 69|1.607632e-01|-1.434674e-05\n",
+ " 70|1.607618e-01|-8.829808e-06\n",
+ " 71|1.607606e-01|-7.581824e-06\n",
+ " 72|1.607590e-01|-1.009457e-05\n",
+ " 73|1.607586e-01|-2.222963e-06\n",
+ " 74|1.607577e-01|-5.564775e-06\n",
+ " 75|1.607574e-01|-1.932763e-06\n",
+ " 76|1.607573e-01|-8.148685e-07\n",
+ " 77|1.607554e-01|-1.187660e-05\n",
+ " 78|1.607546e-01|-4.557651e-06\n",
+ " 79|1.607537e-01|-5.911902e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 80|1.607529e-01|-4.710187e-06\n",
+ " 81|1.607528e-01|-8.866080e-07\n",
+ " 82|1.607522e-01|-3.620627e-06\n",
+ " 83|1.607514e-01|-5.091281e-06\n",
+ " 84|1.607498e-01|-9.932095e-06\n",
+ " 85|1.607487e-01|-6.852804e-06\n",
+ " 86|1.607478e-01|-5.373596e-06\n",
+ " 87|1.607473e-01|-3.287295e-06\n",
+ " 88|1.607470e-01|-1.666655e-06\n",
+ " 89|1.607469e-01|-5.293790e-07\n",
+ " 90|1.607466e-01|-2.051914e-06\n",
+ " 91|1.607456e-01|-6.422797e-06\n",
+ " 92|1.607456e-01|-1.110433e-07\n",
+ " 93|1.607451e-01|-2.803849e-06\n",
+ " 94|1.607451e-01|-2.608066e-07\n",
+ " 95|1.607441e-01|-6.290352e-06\n",
+ " 96|1.607429e-01|-7.298455e-06\n",
+ " 97|1.607429e-01|-8.969905e-09\n",
+ " 98|1.607427e-01|-7.923968e-07\n",
+ " 99|1.607427e-01|-3.519286e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 100|1.607426e-01|-3.563804e-07\n",
+ " 101|1.607410e-01|-1.004042e-05\n",
+ " 102|1.607410e-01|-2.124801e-07\n",
+ " 103|1.607398e-01|-7.556935e-06\n",
+ " 104|1.607398e-01|-7.606853e-08\n",
+ " 105|1.607385e-01|-8.058684e-06\n",
+ " 106|1.607383e-01|-7.393061e-07\n",
+ " 107|1.607381e-01|-1.504958e-06\n",
+ " 108|1.607377e-01|-2.508807e-06\n",
+ " 109|1.607371e-01|-4.004631e-06\n",
+ " 110|1.607365e-01|-3.580156e-06\n",
+ " 111|1.607364e-01|-2.563573e-07\n",
+ " 112|1.607354e-01|-6.390137e-06\n",
+ " 113|1.607348e-01|-4.119553e-06\n",
+ " 114|1.607339e-01|-5.299475e-06\n",
+ " 115|1.607335e-01|-2.316767e-06\n",
+ " 116|1.607330e-01|-3.444737e-06\n",
+ " 117|1.607324e-01|-3.467980e-06\n",
+ " 118|1.607320e-01|-2.374632e-06\n",
+ " 119|1.607319e-01|-7.978255e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 120|1.607312e-01|-4.221434e-06\n",
+ " 121|1.607310e-01|-1.324597e-06\n",
+ " 122|1.607304e-01|-3.650359e-06\n",
+ " 123|1.607298e-01|-3.732712e-06\n",
+ " 124|1.607295e-01|-1.994082e-06\n",
+ " 125|1.607289e-01|-3.954139e-06\n",
+ " 126|1.607286e-01|-1.532372e-06\n",
+ " 127|1.607286e-01|-1.167223e-07\n",
+ " 128|1.607283e-01|-2.157376e-06\n",
+ " 129|1.607279e-01|-2.253077e-06\n",
+ " 130|1.607274e-01|-3.301532e-06\n",
+ " 131|1.607269e-01|-2.650754e-06\n",
+ " 132|1.607264e-01|-3.595551e-06\n",
+ " 133|1.607262e-01|-1.159425e-06\n",
+ " 134|1.607258e-01|-2.512411e-06\n",
+ " 135|1.607255e-01|-1.998792e-06\n",
+ " 136|1.607251e-01|-2.486536e-06\n",
+ " 137|1.607246e-01|-2.782996e-06\n",
+ " 138|1.607246e-01|-2.922470e-07\n",
+ " 139|1.607242e-01|-2.071131e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 140|1.607237e-01|-3.154193e-06\n",
+ " 141|1.607235e-01|-1.194962e-06\n",
+ " 142|1.607232e-01|-2.035251e-06\n",
+ " 143|1.607232e-01|-6.027855e-08\n",
+ " 144|1.607229e-01|-1.555696e-06\n",
+ " 145|1.607228e-01|-1.081740e-06\n",
+ " 146|1.607225e-01|-1.881070e-06\n",
+ " 147|1.607224e-01|-4.100096e-07\n",
+ " 148|1.607223e-01|-7.785200e-07\n",
+ " 149|1.607222e-01|-2.094072e-07\n",
+ " 150|1.607220e-01|-1.440814e-06\n",
+ " 151|1.607217e-01|-1.997794e-06\n",
+ " 152|1.607214e-01|-2.011022e-06\n",
+ " 153|1.607212e-01|-8.808854e-07\n",
+ " 154|1.607211e-01|-7.245877e-07\n",
+ " 155|1.607207e-01|-2.217159e-06\n",
+ " 156|1.607201e-01|-3.817891e-06\n",
+ " 157|1.607200e-01|-7.409600e-07\n",
+ " 158|1.607198e-01|-1.497698e-06\n",
+ " 159|1.607195e-01|-1.729666e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 160|1.607195e-01|-2.115187e-07\n",
+ " 161|1.607192e-01|-1.643727e-06\n",
+ " 162|1.607192e-01|-1.712969e-07\n",
+ " 163|1.607189e-01|-1.805877e-06\n",
+ " 164|1.607189e-01|-1.209827e-07\n",
+ " 165|1.607185e-01|-2.060002e-06\n",
+ " 166|1.607182e-01|-1.961341e-06\n",
+ " 167|1.607181e-01|-1.020366e-06\n",
+ " 168|1.607179e-01|-9.760982e-07\n",
+ " 169|1.607178e-01|-7.219236e-07\n",
+ " 170|1.607175e-01|-1.837718e-06\n",
+ " 171|1.607174e-01|-3.337578e-07\n",
+ " 172|1.607173e-01|-5.298564e-07\n",
+ " 173|1.607173e-01|-6.864278e-08\n",
+ " 174|1.607173e-01|-2.008419e-07\n",
+ " 175|1.607171e-01|-1.375630e-06\n",
+ " 176|1.607168e-01|-1.911257e-06\n",
+ " 177|1.607167e-01|-2.709815e-07\n",
+ " 178|1.607167e-01|-1.390953e-07\n",
+ " 179|1.607165e-01|-1.199675e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 180|1.607165e-01|-1.457259e-07\n",
+ " 181|1.607163e-01|-1.049154e-06\n",
+ " 182|1.607163e-01|-2.753577e-09\n",
+ " 183|1.607163e-01|-6.972814e-09\n",
+ " 184|1.607161e-01|-1.552100e-06\n",
+ " 185|1.607159e-01|-1.068596e-06\n",
+ " 186|1.607157e-01|-1.247724e-06\n",
+ " 187|1.607155e-01|-1.158164e-06\n",
+ " 188|1.607155e-01|-2.616199e-07\n",
+ " 189|1.607154e-01|-3.595874e-07\n",
+ " 190|1.607154e-01|-5.334527e-08\n",
+ " 191|1.607153e-01|-3.452744e-07\n",
+ " 192|1.607153e-01|-1.239593e-07\n",
+ " 193|1.607152e-01|-8.184984e-07\n",
+ " 194|1.607150e-01|-1.316308e-06\n",
+ " 195|1.607150e-01|-7.100882e-09\n",
+ " 196|1.607148e-01|-1.393958e-06\n",
+ " 197|1.607146e-01|-1.242735e-06\n",
+ " 198|1.607144e-01|-1.123993e-06\n",
+ " 199|1.607143e-01|-3.512071e-07\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 200|1.607143e-01|-2.151971e-10\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f6c307057f0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% Example with entropic regularization\n",
+ "\n",
+ "\n",
+ "def f(G):\n",
+ " return np.sum(G * np.log(G))\n",
+ "\n",
+ "\n",
+ "def df(G):\n",
+ " return np.log(G) + 1.\n",
+ "\n",
+ "\n",
+ "reg = 1e-3\n",
+ "\n",
+ "Ge = ot.optim.cg(a, b, M, reg, f, df, verbose=True)\n",
+ "\n",
+ "pl.figure(4, figsize=(5, 5))\n",
+ "ot.plot.plot1D_mat(a, b, Ge, 'OT matrix Entrop. reg')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Solve EMD with Frobenius norm + entropic regularization\n",
+ "-------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|1.693084e-01|0.000000e+00\n",
+ " 1|1.610121e-01|-5.152589e-02\n",
+ " 2|1.609378e-01|-4.622297e-04\n",
+ " 3|1.609284e-01|-5.830043e-05\n",
+ " 4|1.609284e-01|-1.111407e-12\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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39uUWxIqzJI6rLVzr/50LN8bhJ8Hfimv9hDU29o59sf28Ql1nvv3Va3x87/LP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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f6c306f6048>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "#%% Example with Frobenius norm + entropic regularization with gcg\n",
+ "\n",
+ "\n",
+ "def f(G):\n",
+ " return 0.5 * np.sum(G**2)\n",
+ "\n",
+ "\n",
+ "def df(G):\n",
+ " return G\n",
+ "\n",
+ "\n",
+ "reg1 = 1e-3\n",
+ "reg2 = 1e-1\n",
+ "\n",
+ "Gel2 = ot.optim.gcg(a, b, M, reg1, reg2, f, df, verbose=True)\n",
+ "\n",
+ "pl.figure(5, figsize=(5, 5))\n",
+ "ot.plot.plot1D_mat(a, b, Gel2, 'OT entropic + matrix Frob. reg')\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_otda_classes.ipynb b/notebooks/plot_otda_classes.ipynb
new file mode 100644
index 0000000..1955676
--- /dev/null
+++ b/notebooks/plot_otda_classes.ipynb
@@ -0,0 +1,313 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# OT for domain adaptation\n",
+ "\n",
+ "\n",
+ "This example introduces a domain adaptation in a 2D setting and the 4 OTDA\n",
+ "approaches currently supported in POT.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Authors: Remi Flamary <remi.flamary@unice.fr>\n",
+ "# Stanislas Chambon <stan.chambon@gmail.com>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "n_source_samples = 150\n",
+ "n_target_samples = 150\n",
+ "\n",
+ "Xs, ys = ot.datasets.get_data_classif('3gauss', n_source_samples)\n",
+ "Xt, yt = ot.datasets.get_data_classif('3gauss2', n_target_samples)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Instantiate the different transport algorithms and fit them\n",
+ "-----------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|1.017912e+01|0.000000e+00\n",
+ " 1|2.096083e+00|-3.856258e+00\n",
+ " 2|1.842979e+00|-1.373343e-01\n",
+ " 3|1.781632e+00|-3.443301e-02\n",
+ " 4|1.760919e+00|-1.176281e-02\n",
+ " 5|1.750958e+00|-5.688541e-03\n",
+ " 6|1.746386e+00|-2.618021e-03\n",
+ " 7|1.741793e+00|-2.636854e-03\n",
+ " 8|1.739054e+00|-1.575065e-03\n",
+ " 9|1.736474e+00|-1.486027e-03\n",
+ " 10|1.734361e+00|-1.218441e-03\n",
+ " 11|1.734259e+00|-5.863179e-05\n",
+ " 12|1.733704e+00|-3.201643e-04\n",
+ " 13|1.733018e+00|-3.957711e-04\n",
+ " 14|1.731842e+00|-6.791025e-04\n",
+ " 15|1.730974e+00|-5.012271e-04\n",
+ " 16|1.730584e+00|-2.257722e-04\n",
+ " 17|1.730492e+00|-5.272976e-05\n",
+ " 18|1.730153e+00|-1.961758e-04\n",
+ " 19|1.729837e+00|-1.828284e-04\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 20|1.729361e+00|-2.749072e-04\n"
+ ]
+ }
+ ],
+ "source": [
+ "# EMD Transport\n",
+ "ot_emd = ot.da.EMDTransport()\n",
+ "ot_emd.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport\n",
+ "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n",
+ "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport with Group lasso regularization\n",
+ "ot_lpl1 = ot.da.SinkhornLpl1Transport(reg_e=1e-1, reg_cl=1e0)\n",
+ "ot_lpl1.fit(Xs=Xs, ys=ys, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport with Group lasso regularization l1l2\n",
+ "ot_l1l2 = ot.da.SinkhornL1l2Transport(reg_e=1e-1, reg_cl=2e0, max_iter=20,\n",
+ " verbose=True)\n",
+ "ot_l1l2.fit(Xs=Xs, ys=ys, Xt=Xt)\n",
+ "\n",
+ "# transport source samples onto target samples\n",
+ "transp_Xs_emd = ot_emd.transform(Xs=Xs)\n",
+ "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)\n",
+ "transp_Xs_lpl1 = ot_lpl1.transform(Xs=Xs)\n",
+ "transp_Xs_l1l2 = ot_l1l2.transform(Xs=Xs)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 1 : plots source and target samples\n",
+ "---------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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bhBX799X5fKcKC7l84TyyHYV4EHC7WXckFdbD+NN7Bipsvyb16s2H11zHm1s3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\n3c2/GSgWjfHgheNT5wfXh3nw309y3cSLG445HA7+cPCO/OHgxFbHV4+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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fdef9077e48>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(1, figsize=(10, 5))\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Source samples')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Target samples')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 2 : plot optimal couplings and transported samples\n",
+ "------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/home/rflamary/.local/lib/python3.5/site-packages/matplotlib/cbook.py:136: MatplotlibDeprecationWarning: The spectral and spectral_r colormap was deprecated in version 2.0. Use nipy_spectral and nipy_spectral_r instead.\n",
+ " warnings.warn(message, mplDeprecation, stacklevel=1)\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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KLor601Yv0Hs6f+MpDonqAb+iHY0z7mW8r3MalwPp4414/ww1ty7nHQDa0z7S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GyVy+hCNrDFZsAmNrewcXrVnHsz1nKKXeym2ZLNdu2jzpsxd0r2FTSyvXb92GJ8KzZ07z/SNH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ozTisMVNlxeB017UwQbO1BtKgWl+Zl4YXdZmyKpuLVoyS/xM+/qORkxvr2baskv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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fdef6f3c3c8>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "param_img = {'interpolation': 'nearest', 'cmap': 'spectral'}\n",
+ "\n",
+ "pl.figure(2, figsize=(15, 8))\n",
+ "pl.subplot(2, 4, 1)\n",
+ "pl.imshow(ot_emd.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nEMDTransport')\n",
+ "\n",
+ "pl.subplot(2, 4, 2)\n",
+ "pl.imshow(ot_sinkhorn.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 4, 3)\n",
+ "pl.imshow(ot_lpl1.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornLpl1Transport')\n",
+ "\n",
+ "pl.subplot(2, 4, 4)\n",
+ "pl.imshow(ot_l1l2.coupling_, **param_img)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornL1l2Transport')\n",
+ "\n",
+ "pl.subplot(2, 4, 5)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nEmdTransport')\n",
+ "pl.legend(loc=\"lower left\")\n",
+ "\n",
+ "pl.subplot(2, 4, 6)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 4, 7)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_lpl1[:, 0], transp_Xs_lpl1[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nSinkhornLpl1Transport')\n",
+ "\n",
+ "pl.subplot(2, 4, 8)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.3)\n",
+ "pl.scatter(transp_Xs_l1l2[:, 0], transp_Xs_l1l2[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Transported samples\\nSinkhornL1l2Transport')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_otda_color_images.ipynb b/notebooks/plot_otda_color_images.ipynb
new file mode 100644
index 0000000..7c04d33
--- /dev/null
+++ b/notebooks/plot_otda_color_images.ipynb
@@ -0,0 +1,322 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# OT for image color adaptation\n",
+ "\n",
+ "\n",
+ "This example presents a way of transferring colors between two image\n",
+ "with Optimal Transport as introduced in [6]\n",
+ "\n",
+ "[6] Ferradans, S., Papadakis, N., Peyre, G., & Aujol, J. F. (2014).\n",
+ "Regularized discrete optimal transport.\n",
+ "SIAM Journal on Imaging Sciences, 7(3), 1853-1882.\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Authors: Remi Flamary <remi.flamary@unice.fr>\n",
+ "# Stanislas Chambon <stan.chambon@gmail.com>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "from scipy import ndimage\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot\n",
+ "\n",
+ "\n",
+ "r = np.random.RandomState(42)\n",
+ "\n",
+ "\n",
+ "def im2mat(I):\n",
+ " \"\"\"Converts and image to matrix (one pixel per line)\"\"\"\n",
+ " return I.reshape((I.shape[0] * I.shape[1], I.shape[2]))\n",
+ "\n",
+ "\n",
+ "def mat2im(X, shape):\n",
+ " \"\"\"Converts back a matrix to an image\"\"\"\n",
+ " return X.reshape(shape)\n",
+ "\n",
+ "\n",
+ "def minmax(I):\n",
+ " return np.clip(I, 0, 1)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Loading images\n",
+ "I1 = ndimage.imread('../data/ocean_day.jpg').astype(np.float64) / 256\n",
+ "I2 = ndimage.imread('../data/ocean_sunset.jpg').astype(np.float64) / 256\n",
+ "\n",
+ "X1 = im2mat(I1)\n",
+ "X2 = im2mat(I2)\n",
+ "\n",
+ "# training samples\n",
+ "nb = 1000\n",
+ "idx1 = r.randint(X1.shape[0], size=(nb,))\n",
+ "idx2 = r.randint(X2.shape[0], size=(nb,))\n",
+ "\n",
+ "Xs = X1[idx1, :]\n",
+ "Xt = X2[idx2, :]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot original image\n",
+ "-------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.text.Text at 0x7effc9a46ef0>"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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CEak80UoJuMvPYUazG3B4UEMNJxBbHX2zO/ZRkfDDzwKo2oWbuJRctlKPMJzS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\nU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SSUldaKMNk6ALXMMQ8Y0q9ARfNsXQ8FxmYcgpeCk2pSzTJyGBt+9LM9b3AwrBhkRJzH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\ng4/KMWgODg4ODj4q/xcSFp/MDyAjtgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7effced885c0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(1, figsize=(6.4, 3))\n",
+ "\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.imshow(I1)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 1')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.imshow(I2)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 2')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Scatter plot of colors\n",
+ "----------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Lm3ZQU5XlknMWcObCWT6K1OPxeBiloviDB9bxxIu70ga/UFwMjMDEGYIgpLTG\npsYx5CK0KkBDiv6/Qf10CzVQ4xjnIB/HhNlMsUxcNjTccM2ZvPMVpx3RuM+aO4VbfvcsNq0249IA\nF0Oi3JLmTzZPOLqWSLl8RJwGyAwUu/pxNbzWL496PB5PRUadKCrw0W8tw1lHwOCIUxdFJU1vHS7n\nihVp4nxSvk1RnFBSoQUkjjFxSbpCCASOqePHcdWFc7ls8VQuOm1KWe7e4TJvagsXnTaTZau3kovi\n1FpMumkEqXFYlQl47aWLjuj4vX05bv3Zg6x8cQsALY11vPmay5g327db8ng8nkNh1InittZu2rv6\nkiLaBVETwZTU9lQbY4yBKE6swhKXXdzbhwlDJDBYIEAwcTw4ET/Vx92tnbznytOKy6T3/34jX//5\ncra3djJzYiMfeP35XHLGoXd1+PAbLuaRVZv51VPryEeWtrZu9nf0ElYFRNbyqgsXcNnZpxzRtfnP\nH97L1h2t2HSJdk/bfr75w1/yV3/2Bia0+MoyHo/HczCGVRRF5GrgSyRdmv5LVW+ssM+1wCdJjMCn\nVfVtBzrmnv29BLbExEuDU5xzmEyYRIZaBwMiLEs7F2kUoxFUhclWY4doBxVDUCM8tnIHr71kHr96\nYh3/9P3fkUvLsK3d3sbf3HQf//LeV3DpGbP45bIX+OnvVpKPLC8/fx5vevkSaqrKa8kZES5dPJtL\nF88ubtu0cx9tHb3Mnd5CY101zilbduzFGGH65OZD8vdt39XG9l1tRUEsnoK1PPj4St5w9cUHPYZn\n7DEcc9DjGcsMmyiKSAB8DbgS2AosF5E7VHVVyT7zgb8FLlHVfSIy6ZA/IK05WrYpiiETYkpEJGn9\nlIhe4GJMnATkaGBwJiA4yHJoPnI88MxGLj5jKl/+yeNFQSyQiyxf/sljPPTEen735Hr68omJuXV3\nB/evWM83/vYNZMIAVaU3F1GVCQkGRKrOntLM7DR9YvWGHXz55l/R25eUYmuoq+HD73oVp0yfcMBx\ntrUnHSkGhug4p+xq7Tjgez1jk2Gfgx7PGGQ4LcULgLWquh5ARG4FXgeUlnK5Dviaqu4DUNXdh3rw\ngiCWd31yxYKmSlI82wSCUQicxaSClZR9s0SxxVQowVaKdcqvV6zjgac34EqdkCVs3tlOx5795EsE\nMx9Ztu3p4HdPbqC5LstXb3mAPfs6CQLDVRcv4ro/uoRsprxzx/7uXv71prvI5ft9m3vaOvnnb9zB\nV//+HVRyi7cOAAAgAElEQVRXDVXBHKZNbqmcfxgGzJ3lfYonKcM6Bz2eschwiuJ0YEvJ863AhQP2\nWQAgIg+TLO98UlXvGXggEXkf8D4AaloIKghi8XlqLarGiLW4GMJsFpOPy/ZPS5gS52PCmgzEFQQv\ngNBE5GMlii3j6jNYN3i/QJMKOwPpzcX8dsWLrHxhS1HorLPc++jzdPXm+Jv3XFm2/yNPri3mMZbi\nrLJi5QYuPXcB+zt7+N97H+HpVRsIw4BLzjudV79sKS1N9Zx9+hyefn4DUSrOIkJVNsNLlh5ZtKxn\n1DMsc3DWrEP3oXs8o42RDrQJgfnAFcAM4AERWaKq7aU7qeo3gW8CSOOsyuZa/97g0hZOqVhFfTkC\nGdx9XkhaKn3v767m6Rf38MtHN7B5VyddfTkksASBK8tRzOdigszgvowOh3ODk/czoWHbrnbyUXkR\n7nxkefip9bS/qaespmj7/u6ioJUSWUtHZy+5fMRnvn4b+zt7khZPwK8eeor1W3bykfe+nre+7jKm\nTWnhwcdWkctHLJo/g1e/fCl1tUeX4uEZ0xz2HFy6dOlB5qDHM3oZTlHcBswseT4j3VbKVuAxVY2A\nDSLyAskEXX7AI8cxmnaoKA1C0YH9BFWTvoFGyivHlDB1Qh0XL57GxYun8WevPwvnlIuv/xbdfYOX\nIkUhG0C+zKp0IBCGBhdZSg29wBiMOioYf2TCgD37uspEcdG8adz78Er68uWewdAYTpszlcd+v4bu\n3r6iIAJEsWX95p1s2rab2dMn8bKLl/Cyi5cMceE8JxnDNwc9njHKwWuTHTnLgfkiMkdEssBbgDsG\n7PNTkl+oiMgEkqWc9Qc8qiq4GI37cHEfNurF2bi4fCmFThZpVCqkhcBVBy1xVmcD/uFPk6jMvlzM\nJ2/6NWe/46u0t3Vi+3K4Eh9dNjRcfcECaqoCwBYfglKVCfj4n76c2VOaqcqG1FSFNNfX8C/vfxVn\nzJ9aFvhTILaWaRMby7YtWTCTU2ZMKCu1VpUNWbJwBvNmTWL9ll3k8wNbPyVs2dF6wMvmOSkZnjno\n8Yxhhs1SVNVYRD4A/JLEV/FtVV0pIp8CVqjqHelrV4nIKhKV+StV3Xvwow+IOnUR4ixi0w71mQxY\nV/QhGmexGhEGVWUGo5iYXyxbxZnzJ3Djd+/n4ac3kU8T+J0DcpaahjrEGE6bPYGPv+NSNu5azA1f\nuQvrHArEseP6113AFefM5Ypz5rJ1dwf5yHLK1GaMEaaMr+PBJ9fRl4vScSvZTIbXXr6EcTXlRcyN\nEf72fa/h14+u4oEVawiM4eUXLeLy8xcCMHViM5kwIIrLl1hFhAm+w71nAMM7Bz2esYlUChA5kZGG\nmZq56CODX3BK6BKrMMxkkNQGNjgCtYSpBRkEBhMIYhwiSXf5mqoMxlpimwaolBy2paGWb33iTSya\nPbG4LYotK9ZsoycXcd6CaTTV1RxwzM+t3c4nv/G/9OT6EARjhFdeuJgPvuWqw6qQ09ndy999/mb6\ncvniNmOEiS2N/NOH3n5U1XY8xw4ReUJVl470OIaLpUuX6ooVK0Z6GB7PkBzNHBzO5dPjS0l2vrWF\n1ItUCEuaAwcZhwlscZnVOaUvF5GzlSNa93X2kjHllykTBly8eBavOHfeQQUR4Pb7lpGP8+noFOsc\n9z/xPHc/9PvDOsX6cTX89fveyKxpEzHGEBjD6afO4q+ue6MXRI/H4zkGHNLyqYjUAn8JzFLV69KE\n34Wqeuewju5w0JL/O0uh7XCmpCeiDPETwDrFAeHgAFUCIzy3fienzhx/RMPq7s3x5OpNg3IIc/mY\nH933OK956TmHdbwZUyfw9x94M719eYLA+FZPJwmjYg56PGOAQ7UUvwPkgEKtsG3APw/LiA6FgUu+\nqgSlmuMcLh8R2DyG/n11cEApkPgYG4ZI4s+EAdMHBMQcjG279/HEqg3sbe8cFElayp59nXzia7cO\n8hEeCjXVWS+IJxcn1hz0eMYoh3pXnaeqbxaRtwKoao+MVAO+kqjS5DmYNKE+6fxUqGoj2MgRmPJO\nGqKJH640Sb46G/LFG/6QD33hDqK4XzkDI0ydUM/SRdMPaWi9fXk+8fXbeeaFLWTCgHwUc+k5C7C2\nguipAo6Va7fws988zpuu8rVJPQfkxJmDHs8Y5lAtxbyI1JAuUorIPJJfrSOC5m0SbaoO0SSiE3WI\nxohaUIc6h3NKlLeoKoERqrMhb375El59yQKyYUBVJmByyzi++pHX8Irz5/GDT72FOdOayYYBmdBw\n4Rkz+d4/XnvIDXi/+IN7eOaFzeSjmO7eHFFseeCJ1cRxVJYSoqppGTpLPoq599Gnh+9iecYKJ9Qc\n9HjGKodqKf4jcA8wU0R+CFwCvHu4BnUouMgRSKHg9wDUglXEBKhVqiXgf//tzSyeN7HYtaKnL6Kz\nJ8ek5nFF0Ttr/lR+8aU/ZW9HD9kwoH5c1cAjD0k+ivnt8lWDlkKtc7i8ks26ZDyYdB23P2UkPoLl\nU89Jxwk3Bz2escghiaKq/kpEngQuItGgG1R1RLLFJzbWsA9NqrmpIxwYdelsYv6qQwi48sK5fO6G\nK5kzvblst9rqDLXVlQtsj2+srbj9QOSjeEDdUsWIK/o0XeyAuNjeqkAmDLjsvNPp7u1ly449NDfW\nM3l8+Vg9nhNpDno8Y5lDjT59afpnZ/r/00UEVX1geIY1NHW1WboyMTavyVKpFaRQ11T7ra8wMPz8\ni2/lsnNmD3msSvTlInpyeZrra+no7iUbhtRWJ0E4sbXs7+qloa6GMCgPVR1XU8XUCU1s3dUGJOkg\nBh1UWc5FiTAaEWqqs0xsaiCQiOs+8XkyYUBsLQtOmclH3/MWxtX4mqWehBNpDnpGjn27W3nmkWV0\n7N3HjFPnsviC86jy94ljyqEun/5Vyd/VJC1pngBefsxHdBC27umAGRESKIhDokzqV+xHUS49exZL\n5k/iO3c/xq59nVywaDZXnD0PYyq7Ubt6c/zDN37Grx5bhaIUNE8EXnLmqSw5ZSq3/GIZUWzJhAHv\nfcPlvOu1lxatPhHhL9/1h3zsi/9DFMeJv3MIV2RDbRWzp03gyovOpioj3HT7z4nimCitprN6w2a+\n8oMf87Hr3n5sLppnLHDCzEHPyLBpzYvc/f1bsdaizrFt/UaefuhR3nLD9dTUjRvyfc5atj2/mn07\ndlDX0sKsJWcQZg/cMu9k5ogq2ojITOCLqvpHx35IByZonK7Bef8HIREdiQ3GBkhqIxaKglc3xdRW\nGRChNxcxrjrLkrlTuf2f30NHVy+f+f4vuG/5asLA8IbLz2btxl08/cIW8rElCMtrhxtJCoqH2u+/\nrK7KcMPbruLNr7qobHybd7Ry2y8f4/7lT5MfIh0jzEZJFZ3AMK2lie27B6+ChWHANz/5UerHHf5S\nrmdkOR4VbUZyDvqKNscfdY5vf+bz9HR2lW03QcCSi8/npdf8YcX35Xt7ufc//pPe/fuJ83nCbJYg\nk+Gq6/8vdS0tx2PoI8LRzMEjTXTbCiw6wvceHQpg+7MPQ4cTRWyAqEDgMOMiYpT9+SS8NsDQ3Zfn\n6bXb+MZPH+aWXy1jT3tXMaH+e3cvQ9URQFq9ptzEc5r4MLXklb5cxLd+8sAgUZw5ZTw1VUoU5dK9\nB5qLiWjnoggi2LGncpnJwBh6evu8KHqGYuTmoOe4s39fO/m+wcHGzlrWr1w9pCg+fe+v6Nq3D03T\nwuJ8njiKeOB7NzOutpp8Tw9TFy1i/mWXUTVuaGvzZOJQfYpfob9mjAHOBp4crkEdcCxGcdLfKSIg\ngMCgQQwo2WpH6Qqpg8S3h9Cbj/nOXY/Sl+8rqzDjit00FBUdMgVjoE3d1tE1aJ+HnlzJ3Q8uJ7YR\nRpJAnuR4ybvDjC2zQp0qgcig5sLZTIYJLU0Hvhiek4YTaQ56jj+ZqizqKlcfqaquHCXvrGXzM88W\nBbGIKh179tCrSbWv7r172fL73/PKD32ITLX3Tx6qpVi6VhIDt6jqw8MwnoNinVIa4mKxJIunBd/e\n4Pc4KL5nd/t+MsHQolfIJ6wkjAO3zJo6uPTbz377WNoRA5xGCCZJw0DJZB1mwGerCNXVVeTzEbG1\niAiZMOS6N72GYAj/p+ek5ISZg57jT21dHVNmz2T7xs1l4hhmMpx5SflqlY0ilt/1c9Y9uQKJ+++N\nZahirSUwBmctue5u1j/2GAsvv3y4T+WE51BTMr433AM5KkxEEDoQxaoQECCFQqeqqDiUIPlqqOJU\n04LgyfJm6ZfGOiUMQNUhxiLGAopogNiQQr2DqmyGj7zjDwCI4pinVq8jl4/o6u4pG5riQB3ZTEg2\nDLFa/qutubGef/vQddz5u0d57sWNTBrfzDUvewnzZ88YlkvlGZ2c8HPQM+xc/fZr+elN32N/2z4Q\nwVnLaeedxennnwskP+jXPPIoK+65C2eTH+aGAIMpF8a0KpgAzjmMMbg4ZtcLL3hR5CCiKCLPMnjV\nEBI1UVU9c1hGdUDKLbkgsIRhaeqDYjUmIOwXRiwqNhE2E4GUnlRSNrxUGnNRTHWVS9pLpXsajXAm\nIhtUs3DmTD741qu4cMk8Vq7bxEe/cBNRHKMosY3ACOIMhrAQ/kMYCGcumMPzGzYTxTGZTEhgDB9/\n79tobmzgHde8ativnGf0cWLOQc9IUFtfx1s//H52b91OV8d+Js+YRl1Tf13mJ+68i1UPP4xKXLw/\nOmyZIBYaBgUudUGp4qzFhCE1jYdX43mscjBL8TXHZRSHgyrq8ihgAghDU3Gp06pNJSktAwdkgggx\nWr7GqooSExYFDIxJBVFAnCIlUaexy9GV6+DM+TPo7u3jAzd+jSi2iEmEOTm0osZi1ZKVZHvsYqK4\nl4+9981s3L6b5vo6Ljl7MdVVPjTac0BOvDnoOaZoKkxBePCFOxFh8szpTJ5ZXo8539vLqgcfwtoY\nky2/H1ripI8rhsA5JLUS0wMmVqNznHrJJcfojEY3B/xXUNVNA7eJyARgr454d2LFHbA6mibl3nDp\nKqnDBAwWUAFw1FVliWKLU0tg0lPTckFMNik7Wvdxx4MreGr1mrSsW6kglh+74M+01vLMmnU4p3zu\nI+8/ivP2nEyc2HPQczSoKst+fT8P3nMvvT29NDQ2cuUbr+GM88877GN17NmDCUNsHFfeQUDUYSp0\nGCrUjm6aOrXspa4d29n7whoyNbVMXHImmZqD944dCxxs+fQi4EagDfg0cDMwATAi8k5VvWf4hzjk\n6ADFOSWoFDiTVNxO9hQIyxIqygmM4RsfewenzZ7Kv37/5/zysaeJNV9xX0jSKR58aiUr176Iohyo\nv29pkE9sLavWbWTX3jYmjx+7OUKeY8eJPQdPXnJ9OdauXkeYyXDqaXMJ0mof61av5e7/uYud23Yw\naeok/uCPX82CMxZWPMYjv/oNv7vrHqJ8cq/Z397OHT+4hTCb5bSzlhzWeOqam3GpIKoFgvJgwSCT\nZeqU6bSuW9f/6z0VSEkbFOx89hnqp05j3MSJPPeD77Pz90+S3MFAbgs598/eT8up8w9rXKORg9nr\nXwU+DjQCvwH+QFWXichpwC0kBYpHFBsrxgyIFlUttv9ICoY7DA40QBkcWdpcX8tLlpwKwPtefwX3\nPf4USQep0s7FqdVJUlZuQlNDsfj30HKrg7aHQUBbR6cXRc+hcsLPwbFGHMXs2dNGY2M9teMGW0eP\nPbicm79xS7E6ViYT8sGPX0++r4+b/u0/idKiHRs6N3DT577BH73rTZxx3pnUNdUDkOvtY/++Dh68\n596iIBaIcnnu+/FPmTVvDrV1dYc85pr6emYuPp0tq1Zhozi5VaVFSMIwQ7Y9onX7i7iMQ6qDJO4B\nLS6lmnzME//5LXBK9fgGtK+z7MamLubJb3yVi//6b8mOqyMzrvLYbF8v+fZ2ECVT30RYO/ryrA9Y\n0UZEfq+qZ6d/P6+qi0pee0pVD69t/DFA6iepnHctBT0XLJlsSBCa9LmCRgSSOJgDMRhRQiOIGEwY\nFMZfDNj5/PXX8tpLzubOh5dz4/d+TE9vDhEhDKvSHMeIwhIpAAqvf9lLWLVuI1t3tQJSVhaulOyA\n+qdV2Qy3ff7T1AyRW+QZ/RzLijYn4hwcyxVt7rnzfv7nB3fgUj/fRZecy3V//nay2STneNf2XXzq\nozcWha9ATW0NUyY3s2vrjuI2cUoQuVSYQmbOP4VpMybz+wcfR4zAuHLfjMSWwDrEKsYJjS3jueo9\nb2H24oWse+pptjy/hvqWZhZfejF1zUkOc2nQYRxFPPaTn7Ju+QqIepA0yjTsBNyAxAyBoCGDqQoI\nevMEeVt8PVMjSepY6dhQQhwm9Xs2nbqARW9/D5naJOHfxRGbb7uFthWPJ/1sUSRraDrzbGb98TsI\nqo5v/uNwVrQpzRbtHfDaCPozLGARMYQZixIR5YSMAZOR/tUBHE6Trhku/f65SAiCKpAkd/Di0+fx\nsnNP4+obPsm+zu6k0gyAc0jUhxiQQMrFTuDnDy7js3/+Hj77nVvJ5yKs7RfG6myGMAgJcERRVGwy\nXJXN8s7XXu0F0XM4nKBzcGzx7DOr+fpXvkfb7vayaM3HHnkKYwzX3/BOAB7+zbLypuGaWFtxro+t\nG7Ym7ewCgyiJIAJoIlibV73AludfwEjS+Dys7e+YI84lgphXJJ8UEunY0crtN36N2oZaxMREuRxB\nGLL8zl9w+oXns2HFU+S6e2iZMY3L/uTNTF+0kEuu/WNmnjafh2/+HnE+n3x7XKX2euC6I4zGqSCW\nRKgOKOpVEEQRUJss0bavXcNz3/4PzvnARwHY8uPb2PfEclCLhOnX0lk6nnmSjTZm3ruuP/p/pOPE\nwUTxLBHZT3KJatK/SZ8fVPpF5GrgSyRutf9S1RuH2O+PgNuB81X1kH+CaprzJwIEinWUxJAmwwxk\n4PKqYm0fRrKExvDFG97G527+MXva92MLSbGqhE4RbPIFr1QRQBNf5Ff/+s/5zh33smnnLhbMmsFV\nF53LpJZmTp05jY7OLm65+z5WrFpNS0MDf/yql3HxWWcc6ul5PHCCz8GxwAsvrOfGz36duCcalOie\nz0c88uAK3n3dtdTUVtPV2Y1Lq2EVGp0D2IKlpSCRJSyWi9SkTnO6FKkKVhVjBNttCeoCRBUTxahV\nTJ6yMahTutu7yVQn0fY2jsEpq3/XX7ehbet2fnbjvzP79EVc+q63smP1aqK+vnSMlUpNFo7tMHmH\nqhT9i0n+o2BKAgcNgyvpqLV0bdtCz+5dVDc107b8MdTGSFi+MqZO6Vz1LFHnfjL1DYf6TzIkGuWx\n2zYgmSxm2imH3AD+cDhY9GlwoNcPhCT9nL4GXElSp3G5iNyhqqsG7FcP3AA8diSfo2mGhQhgSpYT\nVAnVEmRk8IXTpNrM1ImTmDq+iV+veLZfEIHAabFqqTrFiUOk/Dgi0FRfx+lzZ/NvH7qu4tjGNzXy\ngbcd93rNnjHEaJiDo53bbr2TfD6PGUI8jDF0dnZTU1vNmUvPYPlDK8j19SWdcAbsm5SVhNi55Ae6\nxqTxnUBy3zBicE7RXBL1GZoIDcBYAwysYqWIcahLgmEQwWiFUHdVNj23kp3/8Eky1Yqz/VGoxoQE\nbuDXSDHGgbWoLY+KiHMZsmG/uShUrhQmQUCuYx9htgpEks5FA/dJKgTQt2fnUYti/pll5O76AZik\nUbvUjKPmrX9BMGn6wd98GAxnHbELgLWqul5V88CtwOsq7Pdp4F+BvqP/SMU5h6aCKDLE6lL6nfrC\nX7w9Kas2oDdi8nVQEIvaCM3ncbkcNpej4INtrKvj7AVzj37IHs/wMQJzcPSxdet2AFSSZcuBhJmQ\n8RMSH96Z557B3AVzCA5moaiCJvWYoSAviiqJS8fGhPkI6c7hOh22U3F28GcHoSXMOIwppE5YYiyD\nYkFEEAMmzJcJIkBUHePKrL1EaEMTgThcqNjAFc/d5SPivBCmKRhO+w3JslOMY+qmzSDT0IDJZov3\n1UoYc6S9JxLs7m3k7vw+RDnI9UI+h3a00XvzF9AD5+YdNsMpitOBLSXPt6bbiojIucBMVb3rQAcS\nkfeJyAoRWUFUcKv0p1uUoi7Cxfnkl8QBPC6ilg9//j/54d3387rLLyCbKf1HUzBxsuxR/J2XlGtz\n+RzN9XV86xMfHrI3o8dzgjAsc3DPnj3HfqQjyMxZySVR098YoEC2KsOfvPuNxZQLRZk7ZwYaRRDH\naD6fPKIorUmaPEKJk+jOksVQoZAoD0F/eiDOgVrF9rkysRNRTDCwUbmUlCMBnGJ6I4KuHEFXRLzf\nom6gYEI8zlE/czJhTQYTWjKZfHLckocLtXjusy+/gqqaENE+1OUoVBIrYLJZpl58GVvuup0VH38/\nudw+nLqK4olIGnxz5ERPPAB2cA6mRnnshjVHdeyBjNhdXZIabF8A/vJg+6rqN1V1qaouJVNN4SsR\nZkpEUdO1++QJcfqPoE4H/6pSxdiYHa1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xowr1h3YoOukJXV8KM12+EIgiuXa31SUjWIsa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\nSCQi/x+ffxVo88QyfAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f000447e908>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(2, figsize=(6.4, 3))\n",
+ "\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 2], c=Xs)\n",
+ "pl.axis([0, 1, 0, 1])\n",
+ "pl.xlabel('Red')\n",
+ "pl.ylabel('Blue')\n",
+ "pl.title('Image 1')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 2], c=Xt)\n",
+ "pl.axis([0, 1, 0, 1])\n",
+ "pl.xlabel('Red')\n",
+ "pl.ylabel('Blue')\n",
+ "pl.title('Image 2')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Instantiate the different transport algorithms and fit them\n",
+ "-----------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# EMDTransport\n",
+ "ot_emd = ot.da.EMDTransport()\n",
+ "ot_emd.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# SinkhornTransport\n",
+ "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n",
+ "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# prediction between images (using out of sample prediction as in [6])\n",
+ "transp_Xs_emd = ot_emd.transform(Xs=X1)\n",
+ "transp_Xt_emd = ot_emd.inverse_transform(Xt=X2)\n",
+ "\n",
+ "transp_Xs_sinkhorn = ot_emd.transform(Xs=X1)\n",
+ "transp_Xt_sinkhorn = ot_emd.inverse_transform(Xt=X2)\n",
+ "\n",
+ "I1t = minmax(mat2im(transp_Xs_emd, I1.shape))\n",
+ "I2t = minmax(mat2im(transp_Xt_emd, I2.shape))\n",
+ "\n",
+ "I1te = minmax(mat2im(transp_Xs_sinkhorn, I1.shape))\n",
+ "I2te = minmax(mat2im(transp_Xt_sinkhorn, I2.shape))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot new images\n",
+ "---------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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qnzjnIq/1I2p6Hg8LrnQj2q5mhaeT3K6lOF7sx4gIJ7FhVe7rRJWbGvikHDO2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\nmAs7GYPLt0Xyl0n9QKsOOaMpcDshO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ABNEa2EBnch7ARCOm9CmCVYb1tCE06JwN2xDNGH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\nAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7effc8072a58>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(3, figsize=(8, 4))\n",
+ "\n",
+ "pl.subplot(2, 3, 1)\n",
+ "pl.imshow(I1)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 1')\n",
+ "\n",
+ "pl.subplot(2, 3, 2)\n",
+ "pl.imshow(I1t)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 1 Adapt')\n",
+ "\n",
+ "pl.subplot(2, 3, 3)\n",
+ "pl.imshow(I1te)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 1 Adapt (reg)')\n",
+ "\n",
+ "pl.subplot(2, 3, 4)\n",
+ "pl.imshow(I2)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 2')\n",
+ "\n",
+ "pl.subplot(2, 3, 5)\n",
+ "pl.imshow(I2t)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 2 Adapt')\n",
+ "\n",
+ "pl.subplot(2, 3, 6)\n",
+ "pl.imshow(I2te)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 2 Adapt (reg)')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_otda_d2.ipynb b/notebooks/plot_otda_d2.ipynb
new file mode 100644
index 0000000..038434a
--- /dev/null
+++ b/notebooks/plot_otda_d2.ipynb
@@ -0,0 +1,320 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# OT for domain adaptation on empirical distributions\n",
+ "\n",
+ "\n",
+ "This example introduces a domain adaptation in a 2D setting. It explicits\n",
+ "the problem of domain adaptation and introduces some optimal transport\n",
+ "approaches to solve it.\n",
+ "\n",
+ "Quantities such as optimal couplings, greater coupling coefficients and\n",
+ "transported samples are represented in order to give a visual understanding\n",
+ "of what the transport methods are doing.\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Authors: Remi Flamary <remi.flamary@unice.fr>\n",
+ "# Stanislas Chambon <stan.chambon@gmail.com>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "n_samples_source = 150\n",
+ "n_samples_target = 150\n",
+ "\n",
+ "Xs, ys = ot.datasets.get_data_classif('3gauss', n_samples_source)\n",
+ "Xt, yt = ot.datasets.get_data_classif('3gauss2', n_samples_target)\n",
+ "\n",
+ "# Cost matrix\n",
+ "M = ot.dist(Xs, Xt, metric='sqeuclidean')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Instantiate the different transport algorithms and fit them\n",
+ "-----------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# EMD Transport\n",
+ "ot_emd = ot.da.EMDTransport()\n",
+ "ot_emd.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport\n",
+ "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n",
+ "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# Sinkhorn Transport with Group lasso regularization\n",
+ "ot_lpl1 = ot.da.SinkhornLpl1Transport(reg_e=1e-1, reg_cl=1e0)\n",
+ "ot_lpl1.fit(Xs=Xs, ys=ys, Xt=Xt)\n",
+ "\n",
+ "# transport source samples onto target samples\n",
+ "transp_Xs_emd = ot_emd.transform(Xs=Xs)\n",
+ "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)\n",
+ "transp_Xs_lpl1 = ot_lpl1.transform(Xs=Xs)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 1 : plots source and target samples + matrix of pairwise distance\n",
+ "---------------------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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gT4qzXkLy10DcG42+S5ImyEqpMhVWjV3rir22xC8IVkiqCcl1u3j2u5W8s2sH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\nxjrvokYGGT+CfUtQXHT2c+2vD3ut7BT2dYilLge+SM/ZunF9YIwjQcEdC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Avs\nRahbhgNJvITuelY9+RH0wROUyhyQQMlxY54ggfmPlp6hZ/uSzwolyBtzS4L0O9ce/aULzg33YFbt\nW/vhfShENiTSBoPBYLh7MAbZYDAYDAaDwWAIYP+DbDAYDAaDwWAwBLgdm7c0ksV+w8Uhjx/o/3cv\nu95+jcfFzUkP12ixUQP2VOkUR61Bwd1qS9vHay0QSo/R/yMtqFn0GR8dhD1gDnldi4loL0cbrHUb\n4zX9EX5toHNZ7MLqiXWDtIzDdfMdvx4e1c4Qd5td61Wjhzhyz+tYjz+GXWyjSG8JO6pVq9JvvGii\nj5thD1LotSkK+FgcSBlLOguOvHFkPz1gDDYKkLb1Z+3Xz7WPd0Q0+4Gr58QRC8eC+GMnOUh1/vn5\neaVtzkLI0u8BC/j4PBQDb/0lIlKulpXvK/1dI7CBBXCQExRzXzTnxmExKCKyWRS4GX8dhbZ13A/M\nl+uiBCe/uroxjmDsKNP74goWuX9cRzBHWug5u7gNaQWfzHCvkw+eiojI+e+hCYbZ/UhDM85+ob9v\nfbPv2lx/hn7uqyZgeAkLvbwqUaqfB7HruGWMnx59oPvUe66BLuef67WdbR/NfPHzqkVb5w2K5vBO\nu2CSQAZ0/lNEZkMmcfU5ZR+wfxxqZeH1h35ue5HOIf2ZFlNePtJ3IptqIV4ffwdWgU3i+U+Dv0EB\nkrmGtCy3EszRz227oX9vagPd5LOf6+fxWov/LjRnRxZ9P063r/McPklk/et3yHcMBoPBcKdgDLLB\nYDAYDAaDwRDgdor0RCqFKSwGoo2USFCwB2aNBTa1AQ38q4VLIuKCR2hTxvjh2gghBo1qGIiISFlH\nAc+8GqzgImaBdOqZalqolTGY1rhqCcU5hUy1oNCpNkTRVA3MNAvXcGne8P8G4RxYtxdPYW2WdDG+\nNsqmfq5ruIMxkCRGgIPMN4IV3hHVzfmz3zrifdefPNK5fhsUwoFpdYVvtCVD4VoJ5jfZ33Nt8jNl\njMmapg8Q53yudm8M/SiCYI24q8wjwxjIppItTXqIZI6DUwGywYi7lm2113KhD4gvDwsVY0QIF10w\nlS80hljA9Bawhgv3LT3waxMRKdF/AeY42dU+y9DmrYd7x0I+FutxbrR0qwWnD5gnA0hckR7n0mTA\ni39Gi+cat3745wecnS7ny1ciInLwFx9oX189d22O/lwp5Ok+4rZH1Xchr6F4b+mfpcY5rA5hw9h5\nrW2bX+r4R2tlcWun3rovXum+8Lnu/PKlzhAMf/0t7NBen7g2B8lTbYNY5sa1Phfdr5QdZnR7/cLb\n1tW+PxURkfSfatt9rGfnr/X+M5gmee0LFQ8LfSZdYA/mWP9eY9dbuC/tVz4KvPaDfsd7d/jnOt7W\n/6njpDNlyJsn/jlgLHjjdEeeTzYreA0Gg8Fw12AMssFgMBgMBoPBEOBWGOQiiWS+k8ga7O0ChFEy\nC1hAsr/QFi67MX5HyMA7ZHsTaGibx9D6dRGS0IbGuUem1zOhy65+Fq8YVsLx9fM5dMvJ/KY+erZL\nqzbofDP2r1rH6Z7/9wSZabLls3v1ypykhNY1+CcI5xIjMpnREdN9MOUIseDe6Fr1J8NXshp01xtW\nd2GkNS3m5jtgjgfatnYKneRTHXl75Nm52Fm0gQHd6lT6iqD/zh94ljVeQqgKPe/qkX7ndhb63mTp\nGb1iW5k6MoQ8FXDj9xEMEWigEwSrlGi73m5Vrsk29b4isnysa1v2dDYdxG/T9i3m/oVzO9yVELT7\niqmLvqfri4MI6HwP68EpRF7ncwcdMxjSMvPPaIH/Ts5rlTmREacNYFzzgTHr18qAt18i4KSoxjo3\nz6DHDkJZ2s+UJY8XuqcZTk0SRHUv95Vdz2v+eau/gA4b+vFOQdZ8VvnenTiISPd5szKn4hJabe4B\n+spHXm+enI8qbTp8N6603xIhKVkanHLg1KH/bZXlljPMqa/3ojw5c21qb/QFcnHetDpkEA7mlgXP\nG09AiPZrMMUXuq72DwhTufTr4ZqzWubizQ0Gg8Fwd2EMssFgMBgMBoPBEOBWGORknkv/y7HT4Tav\nwJBe+GCABDHOyWvV8fVz1VKmp2CiyOCEzOFc2avse9UuMqyiO1Wmr36NKvZrrwXM4fKQnYNJoxYU\nTFSrp3MjgyXio6S3C3UASC+VXSrrYBuvtK9dOfBt8up8s0tl9rIxqvAvoS+uhKVElTWXIx1ntw2G\n90TnlG/52Nsc8dS1U+hVobMsXTBJNQQkvGZ366Gu+QWimE+UGWtcK6MYj/2+lYFOWMTHREeImi7B\ntCXnnjmkEwQ1win2tByCHYTeuLjykdYx7iH1t9QKl3SOwJ5IGBQyqcZCRx1l2snUOTYwaJNBIxst\nwTavNoI7AubYrXm8kXzCvWUABZnssY+ATsi4Q8ua4Fly8ehgXp1+WkSEsdrULa+rcd5k0RlTHWK5\nrWufHmibna/0c55UJFteSzv6QI9yqDUmpjjtqA10T2rX/j1dPlAHB7LZ8wO9tvMbndvyvjo5hMwu\nr+EpzdbzXmX+EXTaSeiMgv0qcR8m7+mz0rvCe0mnj45/F6JzZYqvPtK23VfQL1PXjqjz6OGRa1Ns\n6f1fboH1xXtb+zs8o9u6nrzbcm2Svd3KHOdw48lwDyePdD2t4MQixtqKZq2inzcYDAbD3YQxyAaD\nwWAwGAwGQ4DbcbGII8nbmRTQq862UaWfeA1l6y00u3X9bLEDXXEBNhOV9IxzFfGRyCUYtQj6xPl+\nC31A7xm4WND5IurrNQm0oUVDl7puoU3g4xqDeSzglUzmuAAbHc2gSW541ozayWUP7hVgsec72ta5\naCy9HnENJioZYl/or4s5lzVt6/yYxbNyyayOJmAsG9Q4Q3O9CFw5wJYue9BwQxcrR8qMtb9QN4D8\nzbFrQzZ4Ez4SGv+WCnyLyw2f4/LlG50zvYHBLDtvY/F+xFKgLfrg+OwzCli4kmw2nS4Ypwz2Mb++\nrs5RRGKwvOmZnhjkIzDKdNYgKx34IEezDQaZkd1km7metX9GoyH6bYBFpS6b6+J6Qr9nRo7Ti5nM\nN/Yxpr/z9cBPZV/v3dnPoFtGk93H8EH+XR3/0QuvEb/6RC9a7IA1vcoqbeO19tW48Hp8nng4H+TH\n+kHruZ5GXH2mjG5ny7c5+yn16/qj9UadLpKprmN6pMxr65nf68HnenLA6OrLT6HLnsElA+42gw88\ns7uNZ3/wufY7O4DGHZ7GrW/0/uc7/t2+/BynGJwu/lTsjx+IiGfkJ4d+Pb1nPA2AD/Lv6j4d4NTr\n4sc67rLn2frOa/qg12X9wv+dMBgMBsPdhDHIBoPBYDAYDAZDgNthkEtlSvl/27WJ0jT1gfdXdf69\n0GZmSLhLBmDtqE8sblaAU1NLZKjCL1B9Hy/8OGRUkyn8leEiQI1gnNJbOUg2o1aSPsVgpCP0S0Y2\nWvu50ZGidg3mFYuvjelegAsCOWJC72XsAbXPjgHHz2zs2dw1WOsYCYMR2Ey6JHidbLBv0I+mc0YC\ngpm8AAP/iWo0GwFrTN2wA50VqEGmb3HXs3PUFpMVju8hxe0MWtCWso3FKPDMBetGl4J4i79PK+OG\njhSbY5f34LuLe5uQyQ40yBG8kvMtZS/jN+psQAb5Xc9ZvLONAauuGEzYo+cx2WeRQFtMn+P1BjNO\nNr3ptbQlr6HPMR08qMPGOis+yJjDzpf62QInF/LmFJ/DOubMpyP2v1U2eQnXl/pQx1034LcN9jad\nBs813gE6RGRTnFy80nH6SI+rnfh7ut2BjhzvQPbivLL21gz7eu7n1v0G/eLEaN3UPlrf6TV85/uF\ndxbhHHpffqTXHheVNnKljHsaeFv3v2aCJp1CcJL1UvtqXOv9S0dd1yZ7g/7gV73zG72m8YN+vt0F\nY/3aPwfpqY69NduSZGEuFgaDwXDXYQyywWAwGAwGg8EQwP4H2WAwGAwGg8FgCHArEosyjWS5XZMC\ndlIMvihj372TPgy06Ga+iwK4FY38GSrgjycXfdgr8Zh8jKKjXS28mu3dnP66hSK9Qo+0WfxHC7rl\nFo5aw2jsjMVMLPpDYVeDx7Lax2I7KOjCNGmhlc60zXQPVmR5rXKd9oc9WOgexLAcY7/sg3sjIi58\nJUG4SIq5cj0sqgoLFTnL2S6O1q9wnL1EYMQQNmOBVKCYVWUsMWJMSoY/MO45iEzeLLijrZcr+IM0\nwtmXiYjATo7Fa7R7c5Zg65v3tEThG4v+4gFDHnRzc/QZBbIMyjviKYoZac1WQ6w451GE9nh+P3Ry\nZWWdEaQQnI/+N/aDe8HiQlekV1S/F3GSClrAOWnIhtVheE849rIDiRBlQFjnbEf7CMzkpEA0+qKP\nokBIBpJVWWmTtvy/kxuX1QjzZRthOR19ZvM6nr+6fw5WrQ1bMzwj/LRo1iq/i4ist/hM6rpydFd0\nEbPNvjt+nBRzYMHdYgvraqGvFWQSwfO2DtqL6N8qEZESfXGulGCIiGS8H5AzUc7Sxjg53smiGfx9\nQz+rXs2H+BgMBoPhzsIYZIPBYDAYDAaDIcCtMMh5PZLB+5mANJXJY2XN1m3//99zWL9JqcVEwydg\nohJljMjohozr9YewfporM5TOlfUZPdJpTw+VqVl2AzYLNWRtMslg2miXttjWn+umnxvjrgfvg6VD\n1DPZ23Y7qcwnnCfnXWTK5I3e4zyqzJWIt9fKayj6uahV+l03tI/5nmegViC61rARq48y9LHBUgWM\neP1a+x18gA8KbbsNRnTV0nW2L7xNldsNsl8ocmOhEoNDGLcsIhJvsM4snnN9YTwWt4mIlF1dOwM1\nygXYWBTNxf2tyu8iAYPMIr0mbPDAGCeYWxkEUeRHOpd1V/eido2wlM31BGxwxIJB7IErogSzzMK/\nOGSDd/SzaAgmvI1iPIaAvKOIkuEV8auoMicG4bh9C8JFyLDXB3pN43RW2QMyykUQYtJ5qdes2gjU\nmek17dfa1+B9ffeWHf8s9b9AIA1itlttDdJg/HX9BFZ7175Ir3mJE54lYpwnVSaeASzFMCjWXNIi\nUH90X2GvV9XC2HRy036w9wNODvCKRRN9DvNd2EH++lt3bfYAdnIDWPRF1feG9y3remtFxmhzL7Op\nWtxFU51j+63+TIOAIgbcJPOuRGEgisFgMBjuJIxBNhgMBoPBYDAYAtwKg5yNcjn8Z5dSQp+46isz\nVTub3Lg2Pr0SEZHmK2WmoguEPFD3FzA8zWNlK9OvXupXsOg6fK79r/cQYTv2jF6OGOL0bHijPxGR\nogf27szHHzMIonGi9k3xaF5pG42VEauf77s2ZIniMdhNsH9b3yiDyJCBMgtYZ1haxUPtr0R4xIPZ\nY50z47GD8AqGlcTXYPbmnvGsIIj+pXbyyfxQRLwlV/nshYiInP+nv6fDjHdck2yDlS3TanhJnGkg\nxRpR3SIiGWzdyBiutnXt2VQZxaIPtvj4yq8H0cEJGML1Ew1sSK/BMmK/OL6ISHKp8ydDOHqKEBho\naTvfRDfarKBxne8i9OE93QsX3f0GjHLA9i3ub1U+I5Ncw964523gA0XWCKTJj5R9JjPKn7x2feDZ\n+vQK9/9QLcwK7DFZ5uW27nH91L8/xa+/ERGR1ivdi6vPtb+tv/pCRER2/hpHDT1vw7fAyUr/a51D\nOtL3ZIqo5L2/hB3fLHh/+miPOdUv9Lscz078uVqshVHdjfOq7SK/o8aaoTrxlj9JiL97i0lq//N/\nTfvNXujnBfrI1l5PnL/VYJvVv6XP4vZX2B/Yu8kPr3S8D5+4Ntmxfrd8hAhtBPfEXz3Tnzv6dyg9\n9n8PBNaG8QfaT/cb9M+/VYc4SRh6prxEuEvt+1OJFu8O3TEYDAbD3YExyAaDwWAwGAwGQ4DbcbGI\nNPqY7B/jlsOa+uy6qldd95VJTF0IB5iidwWFIGSBjFTxAAEIiImtB04Ezt2hBaaTjgpgZRk5zap8\nEZFoov2GbK+Ij5yOJmAoa/7fEyU0n+sDXWP9NZiqN3nNEgAAIABJREFUbcT3MlQkWE/eRrU9Qkoi\nxG4zUpvsLZnYcD01MNJ0+SjJMlMzHDBtdHtYdfSa7AzOB3vKWO7/LWKYyeJJ4PJAQBcb03EBmt20\n7h02qNEswALWMP8cASLxhe7xGppOEZEEgSQ55pgyvplhIGTtAyeAHPcnvtK93hpDB8146jcn6Nzf\nv8a5spX1Hp5BBGikdURCXzGe2o9Th0aWWmY6R/DaBExlGWiv0zOw5ujXxVJTF429SS/8PXXsqwuv\nqQaFNKHDLi48885I7OvPlDledqG/RgT14Cf6s/+/+b2eHMFZAacQ9QFOXlrU7u/g8yBoB84XDAyZ\nHOq4B881Anr8WMdv1vyfjqtP8H5i+w9eKVsbz+A6sQfG9cQHhaze0/4YkT56qHOtnyg7HI/0ni+e\n+FOOOt6l0RO4SGR6b/dnOPnhhcE9nX6kz8qqg8AdvLfd+zp+AYecxZ7/W8V3mS4p1z/VOfTxKg/f\n0/V2s6CO4Vj3eHGvK+XgZv2BwWAwGO4WjEE2GAwGg8FgMBgC3E7UtIhIXkoUQ98HQioKPWbBqDpf\n2KLq+ep+Bj7ILtrZxVBXr92MaK58VhTv/Hnj+7C/DdbX/Q5fVbJq4VzcGnkNu6WvczBOlFT7d0zl\nerMPP06cc94bDDt/wgg59I8u8+pao7zqbev6D8bZjFf2/W8w+vlNhn9z3Eq/m9e4+13th8yx2xPZ\ncOkI22zs/TtH4/zzjWdoE3FwKrD5nG2eZrzr8839KDf2rbg5Pj2gw7H/7xCBHacbC11M6IBRkDwP\nWHS6ytA3eLNtmvCeB8vBd5xawQMDjlMje+vHcf2DfXZ6ePx0JzNp4BtM9nUVV+bqtO9oWwQsLfsr\n6nSmYV9JZRnhSRB9j4sMzxfnSOcQ+opnQbR5Vv2zyH0TzM2tN5gb+ymT6N3Po8FgMBjuFIxBNhgM\nBoPBYDAYAtwOgxxHkrczp5edb/H/u70WL14oa5bBz3e1BXeGper5okXV/1REJG/DgYDestB1rnva\nB1PxkpXXxeZgdeI1/JXhHFEi+YvJWmnhNaGc7bqj/WRzHadoYXzMkZpeEc/OrrrQ+Z7rnBZbSCcb\nZ5XrRERy+A8nI72WrClTvBIkda16gc4X7FUyRcIY2rgkM8qXF54ljsFQLpEA1qD2mb7BdFGYeN1x\nmA4Xgtpjx54m3r2g2NDSlvALLtf6ecFkuiLQuM6rSXrUHrvx+XnAhLr+Zpg/XEWo93VJd4FumX63\nLs2NumHqljleFPwbcZMxxhzctfi+CBwcXGswxpyTY4n5c8MbWCRI80uq2vc4gzZ95t0y4q5qqpmK\nRxaTiXBzpCaGDijrJry/KePF/pB5LcjWviP5LYZDyJJpddByL+FtngXJc5wTN9s5r1BTDy/q5CJs\ng/cQzjdrJPbx3eaVfJ9ERBpY67qtc1vAW51e13X4RhcBM8/2jnEnsQ83mxxz5d8SEZH6Jd5d/O1w\n3unwSl51qOH2c8uG0CD3U8daGwwGg+Huwhhkg8FgMBgMBoMhgP0PssFgMBgMBoPBEOB2oqZrsYye\nNtwx5vgxjiTP/BHkClZtvVLtqEYPYB8W6VGnCxMICuEG7+mx5fYKAQ1tlRlMjvTz6QGOWJs+JnYF\nC6vWGWQLCAbI63rtohfj++B4FMesg/e0nxakFHlD+2oiXGLwvpeMREzKRTfxWu2vRo9YdATpSBh/\njEKgTqq2V7WBHt1fo99uXfuYHASFVjgmz+u6TzXIM3JazvF0O5By1K7rWA/lJnr03H5RDdRIL721\nlZMXMIoZsc6UgeSwHIv3fdR0ieCGUmChtYez/HOp9lXzkpGoBWkL5AWUblCS4OKVg0I/J5fgdyjW\nivAznnvLPocDhHAgmERoY+cCaeLKuDp2v7Jmhj+UfDYR2RwnPliD0djlXCUc8VY1atqtIfg9Qj/F\nyZn+DlmEK3JcIXwm2DfKMVqnek1tCEkSQj7SCQrXzi5cm+1v1Mps8J4+X9lYr2lca9vpPuQHgSvZ\n9tdYx4qVtthbRIL3Xuj32bmXjHReIVgDTZJT2KThmaqxwC+YW/1areBYYNv/Fs/kUNcTD1Ve0jz3\n7zbX2v8NC1O1bXYGyQ2kWPELb1/Y2tG/Gcl8o1AVsdHZTNfVTLbcd8lbtaMrx2r717jQ5yK70Gdo\n63tY0p375yA90TXX21m1mNdgMBgMdxLGIBsMBoPBYDAYDAFuJygkEVm1I8cgr7rKHCXzIC54iQKh\nBuKoUeiy6oDlpPPVyrMvLDJiYR1Z5iXbIrk2nfmiGIYgrKZVOyraSK3a/D6IgM6rbdctMNNgkDMw\nyPxe5yKVftfNuDKn9Yh9B3MjG4xr1ysUDnJOLfYRhGQw7wTf+XGrhVEh857MMd8OCgmb1WKm7BIF\na2tfEFlu2KF5C7UqwxsWspFZdcVxm5ZqYGAZ3avtaS0GBnc5q/Tv5hEwu94ODwV2c8/cbV5LuOCZ\nJdqsqsVzfj1BWxbYYT1unHJjTiE7zP54bZxU2jBspLIet19ou9kXax8DC7kYEdIMCMkYXgPWlMV0\nIevMZ3IJcpQWZ9ksrrQJ4QpGFyhEw7tWgolfsdC05cfhuxzhcSp5ooN9KlD8mtT8c7DsVt/ptXtG\ntW0GdnjZ83+isg6CTpq0bJNK/0Ry6t9ttq9xk/m+dKonPGEBbq2B/mYJ+sB7ixj7FQoVk5lvkyKY\naNlLvZWcwWAwGO4sjEE2GAwGg8FgMBgC3AqDnE5y2f+LoZSwbOq9VDalfu4jeZOJ0mLJWxWoHk40\nHjY9QzTuZmCIiNQvVUeaIRKZjNrBWD9f7ao+Mr32jCKt2dLzMT4ACwe9at5t4PuRXwAswGqX+zrH\na+groQ2NrkdY5z3XJNoIw0gvJ5iz6ohr1xssp4gL4UjOdc3lSOd4b/VYhzvVcbrfB1HTTcZFa//R\nFNHMadUarDIMopmPGo9ERKT5QvuNjlXzOvnDD0REpD3quzZxQk0zmGr+DvY32YW+OLARS8Bq0kKN\nzGEEpjDq4PvLIDIZ3xXU7N4/1M9HWB/XFQZ4YJ8iWJ2tH+hcIuhk4xdldc4iLmp8DU1wdk/vbVmn\n5Zifk8NOv/IrtcjJqT6z0ZbeWwljuWFbGG11MSfQqGSDYe9GTbe2x2fQLzuGnQEyW9B/X1y7Jjn0\nu92X+h5N72mb1it9N/Z+5TW0bv54RPvfVnXLtD7b+5Xqb9Oxt61jgAd1tO1TaJ1/eK1T7bwnIiLx\nwGuQ2ye6x7Qk5L0kq54yHj2YW/uZri2a6xzWv6vvVv0H3WvGeQcqeYmgLY4Kvf+95zo36n+Lc0RZ\nH+77cV7pPBlLz3VRpxz19L41g3hqZw25rXu69WyFcXTO2YGut37ubfiioa65810kyeLmiYbBYDAY\n7haMQTYYDAaDwWAwGAL8vxIUsqSueBG4PjBnAgweQzmSCUS2m9HAIrJuan9ZE6Ef0Iiu2zTsB8O7\n8m0YxhFPwRiRyaMWGeEjMYI3RERisNbuuwWCGmrQW84w5yAcwWl0qWmc6jUMDkkWNyOZqU2MJ5gb\n2EauIx1V90ZEJG9A7zipVeYaxumKiEgwHPW3qw6CQppYVwPs+Qys4NyHg5RB+IWISFlnmAkYUbpO\n1Gs32pRYB9dTkEVdVAM2RMLgEXzGAA+GZjDFIk5utImgI46ncHlYV10fyiLYE8whXlZ1y7xvxaaO\nWURi7sHG6QCDQSKuJwizEex1VKK/TQ01T0Q29ldEpGR/LmadzhQZvr85R4ZQUKtPBwy+K/VA6+z0\nvXBwSRpR9fPmzUAfx35SP+zio3FfyLQGjCuZ43JTekstN5n9UIftnl99nvj3gTHP0YKxzkGtAOfA\n7apV+4/wbEbBXjMO2sWu895urKcMI62peQeT7CKleaqBdb5La1zW0pv7YDAYDIY7B2OQDQaDwWAw\nGAyGALfCIEfLtdSenzudbzpWrWZy5bWaZCuLC9UJNsjcXNMz9aZ3aIMs1tuTyucZ2Md0oONQ/ycS\nVNBfoV+yQWAk66j6Lwdeg1yAqaPjKjWvMVimAr83Q93vhs+tDPWaDnWx0GGGTJtrijXnYE9bz6A5\nvtTPG9deg0zNrFxDq425RoxIpiNCsH8FopF7X6uWNT7RPS+uVEM5/9cfiohIbafr2sSbmmbqRhlp\nzX0L1hPvqJdtBL9YOipEMyhHd1TDGQVMaITTADKqxT3oicdoy3EDrTP10WVX+50f6brI0tdHVc24\niEjR1H3LwcbHezpXRgsn3LdA61xs0YO5unbuDJ0cHJMpXuuc91UPn4yxVrLMQ/TVC9S059DfQuPq\n1opnankPOvZwrxnRjc9Gj3XecBOWbAyWPdBRT/dwAgOP5HihP0f3dbydL7XP2ql/f6bv4Z0i055V\nHUrcCcnY+xPT3zuv0/EC3uYoAyipSd/Zdm1KMrr4uzBDbHSX7xVjvsPXB3NYaAmCdN7iWuxfgfeq\n+PihHwf3eXqAewnmvQY2u8D9K0P9OjTg6x5OrjBX6v7ppc5IahHviiH5zb9jBoPBYLh7MAbZYDAY\nDAaDwWAIcDs+yLVUlk/3nVZv+ERZusbAJ5w1T5BcRUbnU1Stn7H6H/rLhdd3Lu9XmbQILO38swci\nIrLY0ek3zzw7l8NJI9vWz2L0Rz0xPZXTYcCeIrVr8ZCJWcoG5Q2wTpe6jtn7O64NGbZVW8frfIc0\nvs+0j/abKiMqIpLDkaL+FuleSAabPtU2DYw3ve8dD6g5bR4jJQz626JR1VBGS79v8UAZwcvPdP+2\nkJwX93XNW79GUtiLN35um3rX38JQRwFLm1PHCy/hGGstwChHYPRCLW1Ex4s19MTQF5P1djrVJNAg\n47voSve4RScPtF3D4cH5MYtP5Ktd6E+y5zwVyKfT6jpFJGJqGxjkGHPgtWSO80DjGoMdTU7rmGvV\nb9npigdD8Y2gr726urFWEZHsSu9bfuWdNrie4VNo7DkFpBde/FifqfvfBz7i8O2ePNCftQGYeAx3\n8bnOuX4dJB0yNRD9jx5qm/6ROkPMt7VxMvca/vHDqjaX6YU8lVju69zrz72rDZnqBKcNK3gNLx8q\ny5wO9JmZPPZ/Q3pjncOyp/fn6iNo7M/1ua7P7us0pv7+XOMdIBPu9NL3tS+yxNMjz4h3v9d7lox0\nDte/0DlmI+1rAbZ7NvVtWvj7NX3YkuLZb3eYMRgMBsPdgDHIBoPBYDAYDAZDAPsfZIPBYDAYDAaD\nIcDtFOkt1lJ7duKK9DIEUFC6IOLlETlCI1o4Zi5ZfLYZASwiddhgFQhq4DF842tIFVD4FA3GfjI4\n8mahHeOUeTxeb6LYLAh7oASgjoKhcqQFfElWq/zeCgsJUUzUYHzuqR7zb0FREV8FR+pAhv0pLq8r\n62mxYBGFhe1hzw/D4rkryhW0DaUCshFbLOKL//pfIHDiDcIXEM4x/zc+FRGR5tq3iSFbcAVqsFSL\nYPfGeythGxY6IQwj3kXRHuYW9XG8fXLm2jAww4V/PDqqjs/itqBokPcqaulx+/KpHo9TPsMrozDS\nGvclR+FdzGKslq4nOR/cHIcFkbTSY6gI7yUtyCbBc41ril1dazyEdINSC64zKJ4rIAlJDu9V+uW4\n60O9Nn3tj/D5DNYGes31J1KZS+cN3p+Wlz4wBr1xjp9Xem+HT/Td6/2gbVpvvPRh8KHucZnoOCmV\nKHjHohJFlcG7kOJVyv3QCme1d3Nu9Ut9jpMJ3vFE10ppRTxFAeHQF6yyGLdM9TlrXOgckjlkOsen\nIiKyfN8HhdTGuubxfb3PdC3kfYoQH52NAytCSJLW+7oXjUv9LpkxA1x/hFaOtKmrX60ktkI9g8Fg\nuPMwBtlgMBgMBoPBYAhwS0EhsVp8gQlb7CpTlAXm+ykLn8A20lKLwReOOQwKoMg4Re2q/VaBYrN8\nC8EXgeUaAwjcyOwPc3N9BrZOMqaNGOypGGbRYNEWmNKuZ7No55T3wECBIV/tItrYhU4EzBRjiRla\nQRs59BuDHc77QSwx2KyEgRQp2D6ynbQCC8IrYhYQ9nWttQEKBtGmfgZa8Dqwupt7FlEbgwHFnBgR\nvRkoIuJDOGidV4DxjcFuFzPPuHLXGdSRgpkki+/GC+4Po6xjrDG7wH2idSBPCwL7NTLICRlxMK2x\nOyVAm6DoUFh0CGacwSrlhJZ9cWWuIuJs92KeAmDtLCAssfY4KCB0ax1i/zeK9BJ3ChLEoeOaRZ9B\nHWC5Ya0324VNWtBPAUJ9wccW8y/w6LBNnAeWbcztWes4KxxmcJxVUz9nMImIyBIp1yWJcBTKyhLB\nNwjvSQcStEGxLP5GcAp5D5PD7V/2/DgNWg02YPeGgsE14uXrKGQM2e1ll4EjKGbd2Lccxa6rrh8n\nG1Xjthd9zLHF9eh1q7Z/RrMh70/mw1UMBoPBcGdhDLLBYDAYDAaDwRDg1qKmy0bm2FtaKYWgntMx\nkWRZyP5Ck8zvRURyRErHkLBG0A87jSgtm4I42gJWadEMTCTHp/6X4Q/TgDFNNr5DmIWLvYW2dd0K\n7LBo38aIXLJbjNdt+mvdHmCNcQ3aZrCMZKZissIBA0XrvJhzWVF7vPFvm5AJhW6YlndOWztW/fcS\nLHfzPBCNkjUn08n7hbVTkxz3PEdZDAOGU0SiLVj2Ufddq1V+ivjTADd7zpsBKI2bDD8jrKO2Unfc\nryhlxDB10sEeIOwh30KABxh4F3zyjoCVqLX5fOG5Gm9+H2hPsR72G0m7sgcuBrnjTwVoH8c47Yjj\ncFyuPVhPAXa+9wK66yXanKtlX+fNHn6/dm26LzRRg+9jY6B7kI21bfNcf68N/KlAMqfNm64xQ+y1\nQDffe6n63/qx1/33+v3KOOmxXluC+WfgT3TpKeQm3lnGOfee6z3N3qreO8L72Q4j1S/0+W0/O8D6\nEBSDNjx9qJ36uUU5LNomiFsHKyzn2lcdJwzJ3NvJpadVzXn3lbbNjgeYqz5v7Vf+b0h6pm2SRUfi\n5c2YeYPBYDDcLRiDbDAYDAaDwWAwBLgdBllEGU2ywGSM1gGTQraPrBi/2oyYDqN/yZ7yA7LL1PWy\njyCSlxXo7neycbxmk7kOgbaOOWRbxt6G2kLoOcm0ubmRUeY6wvlw3huxzuzXjRtWwXPebv6/5d80\nwb6RkXQxvewX+uH5Nhw9uj5gJc43WC/2wZhghnN0PdMWbeisqSt3YSBg1eNAgxxxTLCwThNOdwxq\nxUMGmfHTiDBeQfcdr3RuNQS5hPtK5pg67HiEUwEw+/GkyhaLiBS9VvUzhrCM6pXxw/MRRkg7Zpps\nPVlvurWE+7ZxL91JBYNWcHKSTH2bEhHt9QtlSZcdXQ/12bUrBK2slq5NfaD98X3MhmC1wZ7Xr6pO\nEiIiMQN78Ay6YI3pDONAc023DhFpXMKZhNdC703XlJinEItgHITZ8JmsX8MBBVp+tk2ugth1zKF+\nBQeZS+wx3S1wyhHq8dOrWWVuEd5X9sW5pcHfEDqD8PnlnkeIj69fa//ptd+DaAwnlyiSKHCUMRgM\nBsPdhDHIBoPBYDAYDAZDgFthkFedRE7/YEvymrIwo/eVpWmceb1q80xZn63vlJU5+5myZJ03ek28\ngqfp0jN6A8Tq9reeiohI7VqZnPOfIfr5ADHMJ4H3K6rsG3A6SKGpXNcRZbvF770mtH6tjM/gfWWT\nWoiuZsV+61TL9C9/5PXREQjXNYbuf6dtzn+ibdrwsI09meWif7svdezacK+6F6+0s/ED/+8WVvd3\nXuu+1UYFxiWzrD+4f7o2HfT1P9D5bv9GvWtbD3Wv+79C1PTz135uYCIZ1xx3Qz8EkfW16kqTvT0/\nt3M12I3AsMfH6u9bIGJawHo6jbCI83OmU0Tx9TOdCzS7zjkiZPgZc43I5/q5j2AWCWKjg9OIhB68\nAx27+OElvoDzAaOtg3HosEKGt4Aumj9jOFQU68AxBEyn82puVs2AS56YvA68uuGJnL8+RicbemhM\nNQ+0zsmBevue/J4+1+23YHo/eU+7/4f6/D155vea7gtXn2n/2QjP91sd5+JHYMRzz1TvfImYZXj8\nXn2ibQ6vPhARjVIWEWk0/J+Oix+DlQeB23y5i37hAsGo6S/983b9i0NtA7J1voUTmZ89FhGR2rXu\n+ehJEDXd03dgvqvrme3ruPcX6OupapOz5953++r39bM69NdlDLb+8/dFRKTA/R8HkdZbfw+2+UKf\n+ZM/UK/ue4lGWY8ewGO7vu3aNN8gav7jrqzPAz9ug8FgMNxJGINsMBgMBoPBYDAEuBUGORut5d6f\nXTj979YPap6aTn11fP0VmEMkzh1NH4mISDJQvR89bZ0XrYi0v9N+qDEsrpTROVgr+7PuoLr8zGsB\nndaZLhb06KV7BjSo0dzPjZrD1gu4MNCbtwk2DrrIxrFP6Iqgu13uglH76q2u81LZpsZrVMIHesgC\nOtTkFAwo+nhwoQxvfKFtOg93/XpALqZnI6xrUZ0bdbKBvrPEfB9Fuk+NZ+eVPeC4UeB8Ecetynf5\nYFi5JtlRtsyxwyKSgGV2nr/0FgYTShaafek8MX8wyOm9A/wObSi8f0Pni3KD7Y22YbwL/WpEjXMt\ncH3AsxLBBDjuaxuy2W6uIbtNZhhzS7aV6aW2lR7QUaBXpeez2x84e7g9Ifvc8gxl/sML/QwOGNGG\nD7LcA0t/cu4+IjM9O9A9GPxIf3a/r77C6/eP3H+f/QJzrIGmLXScsz/Q35tvtG3r2LPol5/hNGCt\nP6f3cV/+hb5Xl5/o592W37fJY1yTaT/9Z3rfqXmeHpJh9nNbtbS/2kTbXvwuHCmGeH9h1jzf8Xvd\neanftf5I9+Xymx3siV7b/5fKUI9+8cC1mR5om+uP0S+24sE/03s5OdJ1TPc9V5B8qM9K/FT//iy3\ndF3zXR3n6kd63TrY+zLBqVMnktJoB4PBYLjzsD/lBoPBYDAYDAZDAPsfZIPBYDAYDAaDIcDt2LxF\nkZS1VIoazP9hxp8NvFyiwJFsgrjleA6LptHU9SEi3i5NRFY7eiydnakkgcfk5RCyDEbaBvZreVuP\nQdMJiqfYH6OAcQzvbKZE3JE62yZrWEvBNoxhGXknCLwouEYdp9jW49gENlIFwizKzNtURbDQohVY\nCenBuou4asgBkpmXf3BOzsKMc1pXraTKQC7BQA3axxWwqxIU5Z3/h5+LiMjurwKbt6ugiExEEtqt\nUbaA/ZTH/pg8OkMoBYrb8k9UNpO+1uK8AmEdSXBPZQ92Xoi5zg/193iAArk9yBoC2UGCa4sdPbof\nP9a9ZuhD81sGrPg2q30de4Fj8fYPGK8JW69j5iJ7ecH6yBddiYiUeGayl5CoPEIxWGBxlm+xoBPP\n1UplONESgR4jfVbzbb/XCZ5fWvOVddq8ISJ8G3HlgZRj/Y0WM773P+nahx+iyPSXX4qIyOPVR9rH\n974Q7sn//DHmpM9kindtfk/7b7xRuQzjt0VEigYkSJDarHuwyfur3+g4Uy3Wi8+91Kb7/J62rel6\n6n+DwktIX/pfI686iCnfRzEh5Su1oRYbNv4abSGNOvray41Y1Bj9Dz8XEZH3v9P+s690zfkQEqVf\n+3ehg4K71T0+M5AX/e1XIiKyhb8p/XZgqYfnWXq6x0+PIdP5QWVUjbMnOufXvliUseHdZlO+G/r9\nNBgMBsPdhDHIBoPBYDAYDAZDgFthkPNmIoNPe87mbQr7tfZbz+jRFq0Le6jxE2Vl2q/ApjJQI0hh\nuP5QWaY92DiREV3s6ufjIwReDL211qKr13R6G1ZL6H6+rXPqdD0bnMyU7bv+WFm+xqXOrchgCXeu\n7NLlZ34crieb6Ge0k2NRUA3hEmHsNq3YmhewbIOd3OWPtI/OG50zC5hERJYd7OUpmXHaVVWXF4aY\npBNdz8WPtE23qyxZDwxewVq9IMTE/RctzhBWUSDqNwPjHrLoySnYVwRerFuI6mbsMovqAuszF6u9\n0j0gq8446SIo/vILYmgJWFrGBZP9JXseMq6djb0EO+tYfLYNWM1yI4QlXuJaFtxtBsmISIE1s193\nisL7wf0MCwj3lAlPUaDq5w2rw4mf0ybiqbKTvW8Q843AGu5NMfQFkY2XyvKudsFeYw+az8HI414u\nt7ylX/0bWM+xiLIEq45TADLHYcx4OkTRJPa0QKFlyWJNhHIUY39KkR4q68zTmcYrzJtWdwzbCIpc\nWTDae4HCR9wfFypyqAWfxZsT1yZG8WTt5QX6xQkPw39YjBoGFCFWO3LWfY8wjo6bnSDaeuRPoQoU\nfSaNhgsLMhgMBsPdhTHIBoPBYDAYDAZDgKh8V+Ty/0P02g/KP/z8P3OMZDICw3PtWabVk/1Km/QU\nzA0YPMa65h3PIC53lHlsPldGZ/ZE9amtv1ctIGOKy4Zni52e9wKMZxcaygUYSug9k0vPZpXQRedb\n6A/BDQl00k7LW9+w4xKR2rfKVk0/1xCB5veqS1zvqX5xueUZ1+brUWWNKfTLywPYfYEZDbWNRbeJ\nOeHfMvwBJtExYlteQ7luQ2c71mtysPa1b3Xf/vE//ysREfmv/ubfd23yY6+V1rnomvMuGN4lNdz+\neald6H40zvS78c+hCX2mfS0e6vjdv/d7QEuw1htdyPLneh9WJ83K+sqaD8moQy+8ONT78cc/+7WI\niJzNdY//7i9VF1s0/NzSHd3bDw81NOKrV8pYdrr6+eQbfZai4PFP39O55DkCaBr6bM5+o9eujxDN\nfOrXs+7rnLYP9XkeDPQ+FBMwo7BSW7zv9fit38Ba7DEY0CbYUoz74JGynW++9e/Me/9Ex8mudf5f\n/+f6rH76X+M5PtZ1Xv67H7s200PdzAd/qprwGHaGP/xHaoP25L9RXXF+5Z+34X/8hzr/lKdAuubm\nM53T8Ge6j7RwCzHfxZovdN+yMd5tMOSDD/0zuvdn0EqDlX3zH+g9PPpf8G7jnYzCv0/4W/HsP9ET\npff+RwTe4MQiOVN2+4d//NA1efSn+tnrf7QwAnG/AAAgAElEQVSFOWl/h/+rMuXzp2oVV7uYuzaT\n9/S5Ov8dfb7f++9PdU9wunH9I2Xcu6+CGgv87Wt8fyF//uq/k8H8OEwkNxgMBsMdgzHIBoPBYDAY\nDAZDgFthkDvbD8uf/cP/wmmQl139/+7OG88yraEFbb1RFmuxrWxM8y1CQKDd5E8RkcEHyiru/q0y\nXGSDS3Azs0MwsTPPNi62oDF+jZhg6myxzMW2MnqdF0G4CCrbRx8h4GBUdYioDZaYj2fA6GLRPNc1\n5k0dJ68xkEC/z+ueSGJMdDbWNrVTXfvFz5XFap6tK32LiCy3oLO+hivC9OY1IlV2O14iJvhj3b/W\nua6n81caUPHVf/lUREQO/sq3b53oGsn2rduIZEakdetYvx8/9Ax/7zuEZIx1r89/Xx0Htp4pG7fq\n6dwbpwE7h6ji5qm2mR1of40z/X21lVXmISJSv8S1h3r/Rw+g88Vt2v4a4SOBpnr0SMee7Wk/e7/W\nfVvjPrVfI1p75e/14CPvNCHiY5B73ypLO36CyOQr/1zPDjhffLAR/c17zudSRCRDOAa11HxG+Dt1\n0+E4tT9T1jzuKru5hmNI9L//UkREEgaujPzJSHQfOl/oeMsp7gOcQqIr6H4DjXjYXsRrhNfHelKS\n9LUtA1JERJK9HUwS1758o78X2MAY4SPhONR+I047eays7/r75/gcmvEgyIWhK/KHvyMiIincRdZv\nlHVmHHeU3gyMiQ8QvoK9WL9+U7k2bMO/idQ009UiR3R6el+dXAr8LiJSMEQmS+VfLP5EhsWFMcgG\ng8Fwh2EMssFgMBgMBoPBEOBWXCySeS6db66lhOPBuq9MUXYasFHU0J4rG9y6gjfqhf6eoKo8DZic\n7aUyktFLZa8y6BLJVCUTeJtOvRawAX1vcgqf1g1nglpHGczozLM/dCnowfs1hncttcjRWBmk7dWB\nbwOWKR55dlREpADLHVG/nAXM7gIsE/xoWUHfp/8yddFBRX29rf0l1/huueFwgDlLsG9cTz9SrWZ2\nBm3tpe51+6VGULdO/Nyzi6ofdXalcyigX06gee6+8My1iwlHtHX3JRj4U8RFr5VxTU6vXZs22bkL\nOClkeo9T6Nad7jtgg5NLZSubGHrdgC8tWNo6osbDNlLCS3gM/fUV9MML/T29hoNEcILSOoEHME0y\noD3nPW6esK3ft3ip92fdxj4t8AzBYYHjpLuenaY+voAnM3Xx7lSg1Gc41MXS1aF8oM/g9Ue6vu3/\nA88XnCjCk4Xpx8qa1gb6zCTQvE8+1Pem8xuwtFM/TvH0qLIvBfT90YlqnMsn+n0S+CCzviBv6Fzq\nYFxLuFdEYL3DiG5GiwtY4enH2kfzHLpiPMPx7o7fgreqG774ke7lDtaaoI/8THXS8ecfuTYxPMfn\nT3dxre5jfKrss2O/615XTpa56MNruovnGHNefqjMfC1oE8HRIkoTic5u1ioYDAaD4W7BGGSDwWAw\nGAwGgyHArTDIRZbI4rDrkrRWbehwV4GzQgta2oTuCPAPJgMKVjgP/GKn0Kt2L1X3mMOpIYJmeLnP\n5DnP5Cz72k8T3ZbU5oJtWvWheS28blmQSje7r4xRNoZWEixaOtZxpg8CpwcQdY1TsOZgEMk6koWk\n5lVEpDaAjpguFvB1nT7QdTVcopqf26qna8vA5LoEQs4fc2Qlvw6q383uIa0sgzfzqY4zfqrfN8/9\nvrXBllNLmzerGuTGBTS9B36cDvcHvsCjR/A4zpXNXOBexOu+a8M95Fpn+0w6xHq5j8GTWQczzPVM\n4M4QQ6JbGyrDF3pBjx9UNcjpQtuumnAoWfBZ8ozr5ChgEcU7KGRDvXZ6hGcn0Htz/vn/1d6b9EiW\npVdi35tsNvMhfIw5MyLnqYosNquaFIuCRDSglhYUoNayN9xpIUFLQYCgn6CVNpI2AlqrVgsCJIps\ntFRdoJrFYg2ZWTlFxhzh8+xus9kbtDjne/c+jyQItBzoDuI7Gws3e3d8zxwe557vHHpmK4Mbzchu\n0495suwWVNc1qkVzg+shIz5dUB27e94aqpXdA0vaOiC7qTpfnsSIxyA3t8Hsa2pkQReLFpnrso13\n+hDt8T2yvRGfi5TjhPtMSfR8kBOe0sSaEEl9cqnLJfsddhyLnvPUoeBnjS06vPRdv5ijO+lRVrn3\nHKcB8Q4+y87RJmLynYy9ZECyyvUmT584p2yOa3Ke4vge2gFPs4Ie53uEExD1d0628XNx5M1txv6K\nQopLKZcGg8FgeP1gDLLBYDAYDAaDweDB/kA2GAwGg8FgMBg8XInEIshySS6mpUVbEWmcsJMKqFVa\neMqjVRavBRMeh7IwJhp7BWqnDAtgkVykdlUMCInGOMqMBu5ItVYGabBwb1KN/BUtvPMKk3RsnWN0\nwbba18WInzubKpVYhLQJqx3TPmqBRYITtWXzis20QOicRUws7FHpRXzK4kCvsC/W4+sL2pKNaWkW\nVl2kgqkXyTvlEfQI0oD4jG30iPoR+uw+d1Z3Wjim+6RzKINVWKgWjZ1sJtnjUTPvT+85jqT1CDoa\n4Npo3xXptSi3iE5xXN3OEQUcsxAvYVFYtUiPMb7TnvYiIs4Wrfny4pU24YyWbOfor/2SVl2U+iQ7\nLDLzivR6Gguujy27i/dxbUfnc+r2LRphHLXZU/mPFunpvsUDt28aEKOSEI2J1ijoZMAivQNnpZax\nEC1cRVGZSnfq+lyvoQit2Nor28yXWMyoRaCUimh4TUPbeHHOKnUqi/QYOS60bisWtRjQfbfTddxT\nfWaiXRb2USoUtrj2zEkPQo235jM5v4a5xh3sskoWwiUnz8kZKqKyluQCexEywlqjoENPohQsM+SF\nexDUqrZuGoMeNJ2cpRizgFP3ZQ3jBIy0zpYxx3jqFcxSfhE2GhIcWZGewWAwvO4wBtlgMBgMBoPB\nYPBwNUV6tUiGt9tlUMi0pwVfjpVJWRzVZsHYdJlBIWTASvY5cX+zn7+Ba1ZOwXSlHRYBkSkcbeDn\neOwKx8qgEDKvRVxlWqeLWHLbK8pRFrh/B/OtX3AcXlM7A8t0cceFFiiD3CJblNUxnha1hSn6SP2g\nEAZE1Fh4VyNbenEHP7ebr/5/RdfTYGFXPCarpSSZMn3fERSiYRl5HSxn9xAM7OAW2rQO3HpaJcOO\nl3knrqyruYfX4U13T7szWnGRdRzcxDp6c8T6zrt4v+7t9XgTbGK9yQjmZW9PRWS+oHvv3quTmRyv\n4z6MVlnEpvWdF2D0cq9Ir3+b9l4s0tPCy7IgbkrrsaljNYeb1bkoQx2fY/80qKTu7fWIhYNlsaTG\nlM+rbPCs550KLPGEhZZwOfdYCwbTFq8tXFFbHKvdGorO2vwulIEaF1oY505T6i9OKtfIGAxoQ4vn\neIqiJzIiUkZWa7Ff1ML9ThnoIbuMXfaCQkprRhZrpmR0ddzsnCcnNfc9LYqqPWLtOdaV0iJOiw/9\nMA4NFek+YUDNLj5LWWgXr1eDPURc8EmsxYtzrD0lm52d4nQg9NuQgY5qfBZ50pNzXfH28Stzy5Xh\nn0zLol+DwWAwvL4wBtlgMBgMBoPBYPBwJQxyEYnMOqFkJNMm19RK61UtnjLFkyUGg4xoRUam19fW\npi1awrXIPJEhnC7h5/EydZgus0BmHVwz73Jsdqf96ue1nmOz4pHa03HeM4ZkcE7xGH3Nup4VFAm1\nMf3I1NZrwjnFQzKK3g5PGQASzrh2MshzzintV1lof0ydUxHElXUpfIuzuIzV5lrZb0HbqtYu46MP\nHNuYHJH1I9sbzMEc6v2KD6GxrLc8SzCGfQi1n41j6omp0Q1HtHkbOrawpsEj1Hk3VatLnXE478hl\nqGa7ofrxvMr0liEnXsBK2qEmOCcDvz/iejj+EcNMPB1pixaAenJQasYZitFQLe+5W0+DpxnRhIwk\n2WXVwYbax8x7EHirkhNqzlWDTP2y2tqFI3d/MtXvLjEch7r7glHM2Qb2vmCEso90fYH94Z4GE1qd\nbVLP3HbfhRot01QbrM9MeEYdcUItb+zCefSa0mIuCCvrDBnwk4887TbZXg0PKcg+q1VbTrY7WOiV\nbUKywRlPh7JV6ItDBuAI2e5ix+mww8WF6no04IeaY9VfB91u2UaZYbWAC+4iBjtUSzgy4b5uOdBg\nk6VFEQsKMRgMhtcexiAbDAaDwWAwGAweroRBDueFNA9TyalBrl3g7+72jmOZZguMh6a7Q/cl3q8x\njvpy7K6ISOOE7CXjeufLYLHaL6lBnLJKf+aq1mNGCTcOpuzvsrsAK/j3HZulcc2tI8whHrE/MmLx\nEIxb68AxbRoE0toB0zWjrrTWZyQw2c55y3PlOKNbxaTqcNA6BANXu8D7zUOnYZyR6U76ZKiUkUyr\nQSFZ05sb5919QUbyjP0dgmm7+B7YsmjqtKftZWpayfopi62vzQXEFg/XPXYsBAuY0CXj7D7nEIK1\nmyxSD77jGN/+Tfy7dYD7NLiONq0jOix0yHZ7wzSPcJ+HG2jTv0MmmXLs5RrGyz29+eAm+pmsUqOb\ng4lMSfp1t9RpxblYnL6lul5uBfd2qYHIbtWKN07desYrZDNfCQrB5/Vz3AM9WRARqZ/hvdEa+svq\nqltnUAg1/K0j91z3XpKlZUTy+Edvo6+v+Fx88wyvq6tlm4LhGNFTMqpkZYs3wYgGbFNruOcgIJMr\n+t4pWNOM7G+kjhQeWx/wGiFTrFpjdU1RllZZYxGR7IBaZ40ef+c+3j/jcZDWJpw4B5SC4R5lBPhL\nrEt11wXDS4I3b5dt8icv8N4bt/BK15xsH1rqkOvMLy7KNspiF7cRq1083eY4+D0Q8vdFMXW/39QV\nI90/lCLzXEEMBoPB8FrCGGSDwWAwGAwGg8HD1WiQ40BmC1HpYjG4oeypY6aSMZiixgFe1fGgE1zS\nnDpCr2QvM0YzR2MwOMM7aDNcx9/3jRPXSDXGscZPK9EaYamqfY4mTj8YD8H4TOk0EFJPrHpS1ZdO\nFzwNMknZ+X300zzGG+dvJJwTWSZPKzxexRxae2TNGjWOq1phvI5WHUOpumimd0vCa+bJJRGyh+SC\n+3Sdeugp9dDrcAO59b+R2f3SaTXlTCN36ajQZXyzMopkLjvX18smxctdThLjbU7uou0unRbYtpg7\nne+1l2By1du69QWvob6003Na0HIcOgy0FtH22kK78nnI+GU/Lrh3A4z3vMd46Aecq86JelLfA3jz\n2Ual34Cf5ftgO9eegJ0tRuPymu4y2GtlJgt1aiDLGNDRoBd7lLhqWI/JjqoLhOqM+bP6+oo4/W76\n73wsIiJJH3uqbOfo98go/+mvyjbF/ev47L030C1dVLTt7A/fQ98e8979lnPi2qe3oPOtqxPGCrTO\n4Zk7sRi/B6ZVdfl1ZYEzatB5T5W1FRGJ3n+bC0OjdJke2rM7mDufD31mRURCOmwMN+gMsnRPREQ6\nv9rCtWTMy+dSROQdrF313aWHusdmi4gEXJeIiGj7xzjmmv7oXRERaX4JJnl+HdptjdYWkTK2O3xn\nXYIHPxWDwWAwvN4wBtlgMBgMBoPBYPBwJQyy5IXE41zCFExU7zlZzx1XhT9drmqMW3tgsdSBIG9R\nj9lwU1JGKmRK3GwF+sfWDhi8cM4UrNQxyEUIpi65QJusSQ0yPWdrqpM+c+yc6iDjMQckoRZN9Gd6\n6Y48epv/7G5puhfm331J1jF+VYPcPKlqEwMyhjFNEdQ9ob3rGNfZovofU0OtHq06N84j89wl8gbW\n3Noni8mEtpCM5eF/g3tx9pebZZv2LpjhgtMt2Xv6VzcPwZ4ON916Fp6SXTzDfHd/BDZ98RE1yEu4\ntrPt1q3ezO19ek/f4PNwiLlO1SnE+69b8xifDTawrsFd6opJuC5/CWa5okG+hX9P1nDR4pdgJtUZ\npfeCWm5fg/x29eugz9/SA+zNxV3q24+dNni0ro4n1TalBpl6Y9Uqi7gTjyKkiwQPWkJu06yne+7m\ndu1PvxURkeTnD9DfH7yPcehH3PwXv0Efmx7Df47vSe8b6HBLzexb2Iv4F99gzm2X8hckZIb5LNY/\nwzOTUQsc8ZnNPRa98Sn6DVTPq4mX1CBnPH3wWdv0ywfiI37rTbz/9HllfPF9kAnV/cdfPEX/qo9e\nYTLgGzfcHnz1GN3dx5qV6U+pgS7dLLxxQjpaFG9Bt1z/iy/RhhrkJGLK5NGxmxQ12fnn30iRVz2e\nDQaDwfD6wRhkg8FgMBgMBoPBg/2BbDAYDAaDwWAweLiyIr3xtagMCtFj7CB3RSwaeBHOcIQ76zEM\nIcPxbkpZgEYBi4iMGRM8X2qyDa2UKJsYbmgRnZuLhmPEE0o2alX7LT32j4eugFDttUar6E+DNdTm\nS0NMRmuetZUepc+x6DJe+9J/OXQvRFyhoEo11KZuvKppJlxPx3UyWcRnjZquS2OJpTJHX8qhMcfD\njaoFWYcFXfM5wzOcAqYMOtH5q/WYFjnGpaTDG4fFfypxUcmDvpb3xVOmBE6dgH7HVXmLPgd+caMW\nTZbRz6Pq3PT9MlJZRCTnfc903/QD7v1E7djchEJvP0REwrnOUeUYUXU8b60xr1V7OpW1qGwm9NQ1\nKseIJ999Ta3PdU699VBao4V8zd0h2/J5UKkAix0xh6rloFAaEB6zQFGlFcuLbm7bXuGm1yZQWQH7\nL7xI65Cf6Rw15MN1ynkMXTy1UAoV6NzO+tU25b1090fnEB0NqpeqnRwLS8MT15dGSssJCgdLmQn3\nLR87qUg5XcpWNAgnV0s7XQft5HLP5s1N0jgHg8Fg+LsA+21uMBgMBoPBYDB4uBIGOR5msvLLMykS\nxkivgc2qHzkmSQvtgh0U7DRvomAnOkTxTzU8GGjuwaorfoT43JKPXgHjVTsDYxRfuHGyNnqKDxkT\nS+a4YDxtt4e5RUcuGEDttNbPMSeNNlZLsIDsVv3YFUApK6qBHQsXDDPZQIFPfD7luB4VqqzzKfor\nGOu7kbNo6kCZPcdudxizHZM1C8ZkraJL/7fxLM40ECIeocioscW17sJma/2foZhp4csj1/y8ysqV\ndmgJHhEtbup87eamIRLKDN48R0BDsI/ipdIq7sgVQLXJVuraOxu4x0Efe97RdUXOFk0ZuzZt3mY3\naTU2p23Zs4PKnEVElr7EfZgvYb61LTxnRZMBIQenchnXd9BveXLAe6e2detqUdd3TOiCrpH9BjPS\nwLR3Uzu7oufsDIMhWUuutdxjMrDZMq6NDlyGenrGYrkff19ERPq38Zwvf8N48vf5DH31vGzT/907\nlfXVzjG3yQqeqeY+7mk0cGxw/v23K3OZLmGc5k+/wvgfI9Aj2XdzG76LAs5cTyp+9gwfaFz0Eoo2\ni4Hbt4hhHvpc9X8bhXXdXzBkZMLv9PpK2aZ4Dpu13X8f38OFpyhybH8BW7b8JWO2b7sivfDjd7CO\na4zZJrNf+9WjytzyrrMODPl9V8u+9HfQR+1bjDP6BN+r5kv3OyRQhrrXkeDZd/02MxgMBsPrBGOQ\nDQaDwWAwGAwGD0Hh6zb/NVG/c7PY+K/+c5E6rdTaDE146liZ+TLYq+YLapAXMG57i5HGlENmHkEZ\nfgCGpvZTMHfTZU6aes/xLbLSU/d3frhK9vRhi/1p1DDnsYI27Ucu6EC1n/0Pwc6G5/yMW1M7pV7x\nA8eyFtS4ylOMM7+momDtFI2TtrNsS4+xuHjAKO6XtCL7QzBW0x3sVzRxbHC6gvbxMaO6x5c0rVxX\n2nH3MZqy/Qfod3II9uzmP8f7f++//msREflnf/H3yjbtl9WI58kK+st5T3sP8cH5B05Mu/wrWupR\nU73/72Guna/BoKl9Wc0RbTK4jf6aB9RH85rmPnXTyLYoo7xFROonmPfwBue0pjpSvDQeqE+aa5O+\nD7byjTWwvy9+CsYyq/O526E2eegGOv7tSzZ/vE9LX+Pnkw+q8xERGd1mfHgfe5F2yBzPqXWnXjpt\ne1paPjv1I90DaqznqkXn+J7E9db/ARa+ePAEn63wy1AGk7yqw8729tFvh99D1d2qxvYGglHGbzv7\nteTPf8Frg0qbmKxs+ozRzbE7fCp0bGp0wzbGC5q0faNuOVr12GCNhW7h2UwZIhIt9KpzHblI+GiN\nTLVasukpA4NoRn+EEJXO5y4oJNverVyrwTAx7fAytWrLXLx7UMfzGzAUp9jZ56SL6py8Uxu1i5Mo\nkp8N/nc5z47+5iQfg8FgMPxbD2OQDQaDwWAwGAwGD1fCIHeWbxUf/oP/onSMGF7Hq0Yqi7io6e5T\nsFfnb4Fl8sNEOKHy32dvgoG69gWZW+p9R3fQdrhON4ZTL2pao5n3yC6rBplOFJNFtPHDOGJqMM/f\nRr8NxkbndHJoHIDKO3nfC1QoHRTw2jhBm4vbDJM4rbKRPjQkpXYCLerhD6CD7Oww3nfRaWnnLV0P\n+k8Yi52rtjl8dYDkAuvZ+xG0rAtP0abzEDrJwVscz9Mgyyk1pX9T1PQhWbvN1bLJ5ahpefsu2lKz\nG3xH1LQsVqOmy1jlATXWnUvR4+KipgO2zRZxjT4r3xU1nf1NUdPU+xaMQ/ajpgMyqtpPwGAIjZoO\n11+NmhaNmp7iWtUTX46aLvyoadUcU7cqGs6Rqo0FdbgjT1tP1jT7g0/YL/XXn4NRHv0+dLL1/8uL\nmv7dD/HZdXyPEkZNxwNGTS/WODc3NX1GXoma/hzMsawtV+cuIuMPwC6XUdO/eIh+9f58R9R0+Pab\nXBjdS1ZwT5NtMuWqV/Y0yLKP5/XiD6GDVieSzq+3ODDWkx96AR4MDVHtcYmDSwEkXJeIlFHTBVnl\n2Q8RNd34ilHTd8Esx0ee8waDVIoba/Kzb/9HOR/tGINsMBgMrzGMQTYYDAaDwWAwGDxciYtFkBVS\nP0slT9TbmBrbXccOq7+tVvnrZ7UD+qomUeVVRKQ2BPunrhI53R1a22DwghS6v3jk9INhiiXVjyfV\n/pSZLsAy1Y5cRX0wR/v6Gfuj762QKAzHmHPjzDPxZXeNY7KMNbpkMFZZI4yzuvs/SDJEvxH7CwYY\noH7erazDX89sAeupndFxYJJW18Mp5X5EN9fT2lPGkP2RNTv4T5Utc+xcY7/LxnhJGV2dc/71RbDn\n4+vNsk2bexv2sY6zd8E2dutgQOc97vWh2+vJJpjC+hH6m6zhtUHHk3mXrKb3X7ca7+VkA9cObqjr\nAz5ffKhMqGs0uIH3Jtfw3nIMcXPaxM+tbTLZc7fXF/f5HrdWTx/aj7Dm4W3skd4LEZHJap3zrRKG\n6q+skeezRad5j/kchKtg6fW7oc/MvIuf68dunOhncN2oP4BTw+Q9MKPZBQTe7c/AbuYN56AQ0N2l\nR6ZTHVDyFbDetWdgxpXRxkTJ9pMBbzzB/NNDXBtxnfm5E5Y3H3MP2I9qdEt/YrrEqLZXRKR4wvhr\njXmP4LiRbe1U2oaep3JOt5TGMa6tPwNTrMy0RkSHqmMWkeIFTw7W6JbC9el6Sr3xxPNu5omHnhgo\nc5zyJCFRbbXHVJdrnExFppcMtQ0Gg8Hw2sEYZIPBYDAYDAaDwcOVMci106nkNbLEGb17z1wZfkiG\nMxjSZYLpVOp/G6g21GOz6mcNtgFDGarGlKxTrc5krbHTuAYFGKGoTwZZk8CUcdXUsr6nI6VOtHZO\n/9lBlQEKyfTWzpzFhrKMyRnGUQY3Guse0NPWY3ZV6xwNZ5V11c/JHPfJQnl6yYDxhOr1HEw0sq3q\nWhDOXGqhrqd+1uK66CqizJ5uo++dTGZQPysT73SYRNflmihjq+ypMq7l5+oj7K9Hb0NW1Ybr6YNz\nAfHnVulW8uTS26XjgrtG56+vqtnOOZ7PNrtGnHe5Pl6rpxDfoSrV/jNuf+kucomF9hnxcEZdcrlm\nnZP2pTYa/oJ4LfXJ0yVcXD5dqnluumc0XaBrSqmHp6PGAp6p2iEn6bG0hecHjMZR5Ud1nSiZZhEp\nGmTweXLgM8UiIgHn7M+t1HFT65x1yOTqOjVpL3n1V1R5qqI+5TWOr6l4G55umcxwTv/zYOKYfBGR\nUOfqj6Ma8A6+P8EFmOuQ7+cd/l7qe5Y7BoPBYPg7BWOQDQaDwWAwGAwGD/YHssFgMBgMBoPB4OFK\nJBbTpVAe/6O25Aw8aGzgSHL2rOsu4mlx7xGOLftv4OfOc0a9ajaH9yd7/31IA679JYpy9Ah6vILO\nxrcZonHqCsdSBpK0ntGSqzyyx8tkBcfN3WcujlbDIk4/xmd1BmvkCd5vHmCO55940guGPcSn+Czk\nifNsnQU+Ay1ccvKCkMe7jUPsS2sXxXKHP0abxgv0lTZdm3SRBYK8NqGzVHFZduCfEPOa4e/THu8p\npCMb1z+o7EXhnZ6X+8RjfY0j1n4bBzi+Hl9ze92ku5ZGY08WWdB3wthlyiim6866bUJpQB4xJlwL\n1li4OFvStm5uWTPhK/qvXVSjoLMmF+JJPCbLuHbGei0tmlPJg84t9OQ5KhXRva31OTcWlmYsxMya\nbrPVNrB5XLXoyyj/mXdYfOqpJUbvYA97z2eVz3RurT0+Z74sQyO6W9jr3r/4Bm1uoPhw/N4m5vyT\nz8o28VfPMIcP8WULWGiZfIE46tEPYLU23HSyg2v/9Av8g4VqwS30H7/B7+AxigW1iE7EyYlCRqhn\nWmDXoi0i9zWjFZqISHQP/an8Qp6gOC/YQGhJWfTWcjKGmMV33c9RlJeu4HsUHeG7Nvmde1ifhp2I\nSHzrJv7xm4ecbFB5Pz+EdZxa0YmIpDt7+McJ1hp8731cowEhtDHUYBQRqe7X8yv5tWowGAyGf4Mw\nBtlgMBgMBoPBYPBwJVRHPBZZ/k0gGYM15k/A9CxtOVu0WQefaRhG41QDO1BEo1ZXZbGWiAS0ZFt6\nAOZmvgC2qfsSnw/2WKg0cczhlHZavRdk/epaQIbPx0vov/fcKyBMtT2Ll/qenZuI1M+VLfMK4dhE\nAzzmbUbjPtPoX7wo6ynimM8abdeae3dzCW8AACAASURBVFj7dAlsauuATJwj52SyyOARWszFoyoT\nqvPwx4mmLBCsgbltHjFQ4SuwZS//o2X27ZjDaMK1kc1knWW5f9OVJn92c9NiLy0+TJtkChuYi7Kn\naoXn96cYbWCgJgviZp1XC+J0rbMO+tUgmjIKnDHPPiNOB0CZ93DReBXjpA0+Dxrn3PLY4KVqoeKc\nnyXn6GzaY2Fp7gbScQabLDJld3qiUBtw7l23IH1etdhM9yRMGVfNn+sXjqGMtahNAzTeAgObf/Gt\niIg0pnieC69ALmD8cfIQ7KwW1gWMnm5+Cqu15jPPFo3FfmWMM63MMo6rEdP51H1/ooMjrp17MMPz\nkPG1LCRtuwLA/CmDR1iUpwx5urVdaaPFeriU+/QWGPHoMa7NTsH0Nh8x+GZjvWyT7YINDq8tV/Yg\n1QjqAuvNlTX2xok2wJ4Xj/ELRy31oqUl/OxZ3SmbHDx9IUVqNm8Gg8HwusMYZIPBYDAYDAaDwcOV\nMMjRNJfFR+MyLEPZ4OauC4go2cZjWpsd0qLtGLrFRK2VGr4NE5it2hYCLqIxgwAGYK+SCzCkYeox\n1QtgQhvbDCCpqz0Z9dGcR7LjonKVrVoMlzkOgzyU+VLbt8LpFJWBbOxinPkybaTSqj42bXnBJ6fo\nRzWt0REYqKVvGajBAArV44qINC+xtAGDQgLG4KruNm95zCHnvVyAsUsuGIO8x2CI/Bov9LZAp6kO\nYzO1J1MbNrJqjjgsLdMUGnShe61Eazh1TKj2qyx3WieLymdH9zX/Lhc2rlVt0JSl1fXmnm2dzjOc\nktUuGfHLc3f3p9QCKytPUj2vX7I68w4YIj4ayiTrnPQUQBn/Wdv1UT8nw1+vap71dU7Jdm3o1hPo\n2sj+nr+N70bnc94nhlOEiwtlm/QW7M5ijW+mNnh2F/r85LPHuNCzeQs216prpb5Yo7mjG9A6BxcD\ndw0jwIsmLRY1opssc0A2OlxaLNtke/ucE6+9xXE1fEOT1L3gk5w2bqM30U/7rM9rqsEdxf3bZZuQ\nzHt+G6xyoJpzss4R96vI3E1VK7tsE78PQo5b2tfRRq7yVPD7mE+nIqmlTBsMBsPrDmOQDQaDwWAw\nGAwGD1fCIOdJKKPNesnsqd64iJx7QdpixC/ZRXUraJIZy8kkKgstIjLcIBO9DeY27ZLB4etoA33E\nE8f+TBbIVqXtcm6YDB0V6KLQmTs2OJzn7A80o2paFRpIMtz04pw5ZBF2KuvTPVAXBtW8iriYY3VH\nqJP5Vv1qW4M1cqd1VpcE1WxrDHapQS61zm7OIR0b+jfRb+uIumuyZeGIfY2cdjuhLroMEeky+ISs\ncNKnS8OCuz/xkGw2WW1lU5Udrg2ol/aCQlTvHZKxq1/w2r7SwTxJ8G5BNGL/U7xZI/mv9yCiplcZ\nbIxDbes8qMwl4s+6ntCLmk5Gl0IkONfkAgtLxvg8Grs24Zz3VPNbVL+qbLpGKU/d3JS9dnpynavq\nyvGzOnyIOF2vsrGdF3RUoIZWWc/81DlFxOoQcSkkJ9k7r7TRQAwRETl27UVECu1Dw0xO0VbjpEVc\ngEYZ49xXqxWy28p+n77KrOp6okP0mxZ5te08faVNY39cuUaZ6lgZ6j0XAZ1z36I9um/MqvrgjEy4\nH0iiDhqRBpDo+8qIn+LkJ/P2oLw/cfUZMhgMBsPrCWOQDQaDwWAwGAwGD1ejQR6l0vv8qIxrzVtg\nXlRjK+LiaJV9qTF2tiDjFSb83Iu2XelD6xc+heFuvUvWl56jNfoTBxPHCrW7YMXCAzBGGhsrZCyb\nXbJlhyduAfxsaQQdZDCmgFWZN2o0r124CNtSn3xGrTP1l8IIbY3+zRuODdbIap1vwSr4FcYeh+eM\n3U4dc9hqU9s8IFtFlq50GxBdpsdccW6rw2uVfrVyP+7fwqvHvKuOW9m++hnZwEbVVaJx6uamexCQ\n5VNtbTRiW+qvNSZbRKTWpvMII7plhSydMq9kZ303k4ga5mRItpT0suqZY2q2M69N46TKXiobXLpo\nKEMZeYy4uqEoM6lR02T24zHXN3F7UD/HXGZ0uEiUqSaLXj+Zsi/n59vcxXMw71WdQ8rTgFJj7UV3\nq6vEJvTDh9/DCcnaLzSSmSzu6rWyyeAD6G6b24xKZqz7xcfoY+Hn/N54rHH21k35TlDfm9/DsxOd\nuO92ug7mNmtjDnXV4w75PJOpLmOqRaQ4Q3tlZYfvb2Cu6pXM59v3J87oWXz0Cd5bVS0/v7/pPjT2\nxe9+WLZJ6tjj0Tv4but9iY9Z16COF37sOp+J+Q1okOMDuleom8o7cLeovfCipsk6F/O5BKfGOxgM\nBsPrDvtNbjAYDAaDwWAweLgSBnm2GMv2P1yXlITKZB0sTWvbc30g6bb4BB6i529QC7wF5uhyipmI\nyNnb+GHtl++wE7wM16kJvkF9qSebnNPStb3lKuZFnKZ1ukw/5peOaUuoBT15j57Dx8og4vPmET4/\n/tDzZOV6kiHGUT3vaJPvX3A93g6HczDezQMmph2CAdv9UcK9wOTnbcdmaRJcaw9slvrqvpKkF7k2\nqrfd+xHe6zLRcHWFvsiHAdflmPfkkI4jZNLmK2DaNYGu9hKMfPqWY9HjPW48Ge+IOtuQDHJzR3XN\nbm7K5BZkzbuP6URwjvGzFS648PTEfbDNCbXgi4/4AbuNz6lB9fZDPYaVFW5uof+msvWn1J56pw/N\n2nplvupmEr8Ec1mPyEL2HSOekhHvPp1WflZ9tDpg1C6clna6gi9KcwdzKhI+V2Txmztkyj13lkIZ\nb55QbP4ZvI0LulpM72Pu0U9+VbbpkPGc3sO8wwbmtvBLnCRM3kIb1eWLiPR++oRzwXyLG3R/UGZ6\nCyl2FQ1yt13Zl4xpe4Gy82M6uuwflG00mU/Z2vbXcLWQNp67YsI9rrmTEXXoWPmMiX0dOrzMqf/9\n5F1c+LPPyzZyG4x48xdPpAL2lR+BGQ9X3O+D9AX8lQO+5t9HvyFZ9NpzumUMx2WbXD2Sb2yKXFRr\nGAwGg8Hw+sEYZIPBYDAYDAaDwYP9gWwwGAwGg8FgMHi4mqjpSSFLD+aSs7gofcpj0113BDnr4ai0\ncYij09o5hq4d4Jg55/Gv2r2JiBQhinraT2EBNV/Cz81dHP92dlmQ5xUzTWnz1t6asL9qUMiM8cqt\nly7ooCzYCnG8nwyrIRxqZ1ZETa8NXtrbGEdt6zQGWyUdqRcBXT9Dv1pUlhxgDktLON5tnPBI3ysC\n0+hsPaLX0A09fi/DM5ruKFrfW/0ljvLr55A8xIwcPv8THG9HU1dk1F6ivRrlBRobrbHHrRYKu9R6\nT0QknOO92jmOuC/uqrygy7lrnLiTMfRv4li8dYB9GVzn/TiE/GPWxfu+hKR5jH0frqP//p2qld5y\nA+MVnsykfxMdTFbVAg73NmWNZvcl1u5ixkVO73tR4uLs9paam1wfrQlP3HWjVUak095LpRUhl9xg\n4eL4mv8c4L05wz50j0N9RrsqgXESi95LRiO/wD0c/X3Ijmp/hsjm5JcPMf7qatmmYEFq7WsUuWqx\naf7GDczjF2hT9+OpVRYR8z0Ws2YHKICLNLLZl8AcsSCWBXHahwaT6Gu07kJI0mcvKv1Eb9/DOPq+\nzmfgwoa0n/xdFAom32gENL5HEeUf8u79sk3+FNcEb6CNSmrSp88xd4aMaAGgiEhE2UpxG8V48i3m\nlLHoMGaxcDF0c3PreilFZlHTBoPB8LrDGGSDwWAwGAwGg8HDlTDIWRJI/2ZcWmhlJSHlmKnxsgZp\ngA1UhrJF1k+DLnzGtX+b4SL7YBfHq2DptKhOi/U03lfEFeGJkBmqV9nGyRIjjfO2a0Sirn+LtmRD\nvYar6MeV+YhIySAHBcYZrbL4K61ahKXeMDMW38UTMqssGOvfoa1Ui+sbu9ui862x8Eet2TTKWK3W\n5i03N12rznd2xr1+hgLJG9fBCp6sbpRtwjn6L+OOyWJq4WWYaViKY2nr52SduY7RpoaKYP6znu69\nx7iua3u0nS5psAYZXz4nhRumxJhtpysaloKfxwxC8QsVR9dps7cGNm+yj4VoJHQypFWcF+AxqaYs\nS8BQES1iG69qIalj0UcbHFPzLTRem89kyud6uuT6nbeqz22mezzX7wLH9/K2F1i8pkxn7QRscNjk\nxbRWCzzbOqGlYt6nFSHt+KITFLnlbBN6QSH5AZlUtSukpWJIlrkgo6tsrohIzhhqodWcFhSqNV0Z\nouFbqek1upenzjbOf98fR6Oek/3qujQsRVZYmOvFRucs9osvOG/+HNBW8jLLLSJSxDwJUbu/sQaT\n5JX1lu+LFxCSu9Mfg8FgMLy+MAbZYDAYDAaDwWDwcCUMcpCLJMOiZMRiOkDVzh2bojpLDXdQplX1\nvQpfe5qQydVghjClbpl6XGWb/ShjDZjQwIYyxleZ3YQsrhfjq3ZhyaBqDaZMrEYZJ30vuKHQNTKC\nuUut8BAfKPPqBxCoRVsZt6wBGEzm1XFrFx4DRlZUWfPSSm1ejXH2rdR0PfUz7jHvh+ovr3cw4EFn\nvWyi1nK6/zp/ZTdVF5s13B4oI66xzvpZxnjtOZPGszM3Nz1dUFJZE79nagVGMtN/DtKh6qL5xiIe\ntJzjpgymyb2nOedc6s0550IGuV1U1pslbm7ztsZDayf6vo7D+Yy89TSqloDatpgyQp0kY9Zy+xbr\nWrkHuif6vM27eo+9e1rXUBHMZbpKqziytGUoxw13KiAausMwnkIDPJZwY3IGxwQX/bJJ2OVN0371\nMzLJAZlsDazxUQaCkIFVVluf5qLrHafs6Zt8jvWzIzDYGv1czNx3QRnofMGLxhaPvSVDnq149pKc\nS7GAdQW6j2TCwzqZeU/rrHswW8ZnITX9Ok5IjbLuiYhIwFjqbG76Y4PBYPi7AGOQDQaDwWAwGAwG\nD1fCIIt4rJs4BjFreLpYEkEaJaxBDsp2uur/4pU2ypIqK6wssUbyxi634RWoM0CQ/83XBPPqh5WI\nX3FsrcirAQC6xpjMblpGGbNvzyVBWdGSQZ5V9YoRCancYzVLZlL3J73Eckr1fX/MnAEUoWoyqan8\n64d3RURk+alr395TUTNeZh2ypryXHTqHBJkXKvECbFncx2v7BZi77hajwKmbbh04pq0IwbRpSEo0\nQ3/NIzLxi1UttIhI87h6ghCQ3tY96b5gIEnks+joZzIEG3jtaV5ZT3ebriAeQ5k2nWYe4xXsX+Oi\n8XnzxN23aMZnQplj1SDzOdZTg9hjnTUyW09T0kb1lEP1+Y0zN07BCOaAwRmNAzpSkDmOFhiwsu/c\nGAKNaabrQsRY56DPyPMlRrVrWxHJGYahbK1qmrMhtcghx2W0cmVsdVRhhHqpDVa9sTc3CS99l+iw\nUTrKcK7+dTlZ63DCZ7FF9veUwSRkkONtFyOvOxicDyr9qi46m1dPsNAf9rq2hecsb/KVrhXatqLD\n9udrMmSDwWB47WEMssFgMBgMBoPB4OFKGORomkvv0VDyGtieOfW4jT0XR9ukz3Gyjwrw2gLjaQ/B\n1iSqOUzclMIMpf/JC3iwxseeD7GIRCMyY2PHUDZ7YPlqOxeV/rQivb4ANijZ9fKpGZW8KIhRjgdV\nHWEwAOMWpsvuTdUgn+CzJteuPs4BWVv1YUa/ZMCGZPJOsBdLPbCqteNJZa4iIo0u43TPyfpNuFa9\nRl+9SF5dT1BgvnX2qw4FjefwwW3vOwascegYQRGR2hnmnTXwmtDruOdfc8x9ucB97r0Eo6f3PaTP\ncn2377XCPasdqTC6w/HIRtPhoxKdfazsIu5/xrWqk0drjwxv4v6/VwTY03iA95rHVd267onkjkHu\n7PHZ0+1XbfoZrm3vMTb61D0f4RzjXGaBVSuu+5Zcc+x0/YQsZqIsfVRpq64ZjQN3T3IyrBE1xue3\nsdftv+a9pv63GDlnhfltPs9nfHYYjTy9A9/t+iNu4NgdwQSbtPLQ50q/j3RuCDfweXB6XraRTXgv\n53XeF8ZQK1sbqNOGHxtNVrYgK5zeYb9HZH/JPoddpydWpnjwFpjvrjLKHCffx++J4M5NN84Sfodk\nm/guBDOumRHT0UJVc+2j4IlCuMLvPTXVxU1o90OP3S7dMYJAgoHxDgaDwfC6w36TGwwGg8FgMBgM\nHq7GxWKeSXx4UbK1Ic1/w75jkKNzagtPwAJFqjUc0Ms0UIGu57NLxkl9RwOyY0GDfqis0g9GjgEL\nlU0+u2B3VUPdeMaUrDPnu6pawoSMkTJt6kBRUOdZa3iJY5x/MAZ7FWrFPqvxA9VoesyUaiSLPtMD\n+2BW63tguUL1gvWYtoSM12UN5SvwGTAya/UemLvoEPuXsW1rF3NvHDomVFnGy1BWMJhjfY2Z50tL\nZl33p7lHlvMEc62pjvXEsY01+uuGZ1h7QoY86mNuEc0ECm890Rn6q/MRafToYUwNb3xCbWji2rR5\nf+Ip3UXO2P+Uz+gF1+s9b+V+6LNJhjcYTvh5VG0rIiH3Zc6Ti2is2mZqrE8xtyBzTGh8SB/fLu9P\nTV0fVDsOdjg+c891wXnOb4DN1ETDDr2B8xWwqqEn8x3eRP81dVg5B2s7uAHWOzljm3Pn4DDfVD0x\nXlJ6Ntcf1/k5vIZjz295fAttMrLz3QP0q0lzwSWNsohjlQt+Ty44195TehmrS8aqO7UJ6Tt8cZtM\n/jmubfA7mG5to++uS4hUN4zxBh0pWE/QeISfgyX0UXj6c3V7ydr0fu6hv5hzGt4E69z03HNCfj8l\niUUmV1baYTAYDIZ/QzAG2WAwGAwGg8Fg8GB/IBsMBoPBYDAYDB6uJmq6FUv/4/XSnkwLrNrekfd4\nDce6jWMcmeqRcY3HzDnDHrKmm9L5XRxxrjDKeLwB+YIWWI3XGUzgHXWqTVhnC9emZawvrpktov/2\nCy9sgFKAi7s82i6DQtSiC8fog5suMlkLubrPMZfRdR7DMtBDI641ZELEWZkFGYqnGvuQJpx8jCPp\nximOopO+kzFMlxg/PcRnaktWWsRxHmn71Vs5WufR+k2sS4uaGn+8LyIiW17UdGtX843xolZ9Gs7R\nOMJAZbSyiCw8hWygTjuy3R9hvAUeX08Y+93dcgERGufd3sPRtsZhNw8w0LzDZ8hbTusA4wyu49rB\nPe4jgzSW1lfYxs1teIuBIGtYc/dLHItr2Ef3BQuwPEu/s7cv/X+RHy1/gwKy8zdC7kWnvGS8xvlq\njgdTPyKqNeonuG8aUy0i0mR7DSkpo6Z522cLvO6Oy6feoPwm+PW3IiLSWfsIP6sM6MuHuPDWjbJN\n7wGlSU8hPVArssX0LbZ5hNemkyTU1PaMEoqE8pmc8ojkMcJF/GLAJgv2StmE2qGppIjFc+F197yl\nT56Jj96XeB6yAxbaafhH3yvwpAxr7VcYO/4U889ouxZf30TfsXcfH8LLsBW9iS7GuDZXq7ZjSL5y\nr1AxusbCvuuYU/TXX+Nn7kH7C0q/jpydnEqCsn5fitzCQgwGg+F1hzHIBoPBYDAYDAaDh6sp0stE\nkn4mGauoxqvoVtlbEZH6Gdik2g7YpumtRbZlaAat1cKRY1+aPVqmsRis+RgsT8oo2YKzT7zY6GLA\nSGuGCehrQQJPWe7ALzYjq1Trg0nTgq6CLFp8yiK9xcXKmkXAnouItLeV1abNHCOoNS5bRCRIwf6q\nbVnI4rNan0zsEcb1WfQykrsPJjTS/blUfBh669E9HK/Rzuu4ag2X/hPYVN353Fndhae+FZtIwYLE\ngrZ14Qk+z1bdHoQ7YPvUJuzOyR3MdQfMWtEiM3nu+u5d431nUdPiYrfyc1ks5a0vYFHj0jKo1ekG\nY4PJ6NWfwbKr8ArH5hu4drYIarf9GHMtWBAXHuE59MMeFr5dreyBFqqFWweY+1fYz7DvitryJT6L\nl+5HwKLNYMRnqe0VjrGwT4vBChZCqj2fXqvPh4hIur2DNt//QETcqUY5/++9KyIi2Wffurn94D28\n9wMwxgkDXTJaLobffwfXeaEz4WBSmUt6HZZp0a8fYLwe2XNv39K3aKvGU6HoU7CyauEWsk3GaGsR\nkfjGdfyD+zRf4unNMtjbgs9UuHqtbJPt4T7oaVTzk3tY15fP0YasdvR0r2wT3ACrXJr5qe2jxmGT\n+Y28iO6crHLyEHuef3gfc3m8hXms4tmKvI3TQuL49k0JdjzLRYPBYDC8ljAG2WAwGAwGg8Fg8HAl\nDHKeBDLaSMroZ9Wt+lHTI1pzFQEYxDnZ4WjEGFeGJWhogohI/yZjiPfB0k2XVN8JPkjjkLPEMTbT\nRdqIzRucAxljEl6TJfQfT7zQEdo4DTYxXq1Ley/NSujg/cGGZ9nGzzo7XN8agw/IJM46tcpeiIjU\nzxjF20Q/DdqIDTYZjpE0K+sTEZks8LOYGudxjevJK/NIm97cMmqAl7j/BfZtmdG5R38Edm7WdWxw\nZ1eZUOH8ubckPtt70NLqPRERWXyE+SYXYAr3fgSt8eLjJvunvvjQaWkHN3CvWgcYe7TKOOpDssO8\nf4Vnv6YhH3p/hjd4T7lNS6tkCT2nu4u76Ge6gouWr61U1tPZZsiMt9cn73gac3Hs/dK3aHT+JnX0\nJwvlNcP1SwET6lZIbXPtguEfi17U9KDav+rV9ed5i1HTp84aboEMZfEAmtpa/X512G9f4B9t98BF\nW2DWYw3uIKNbIyurlovBoluPRlorGxwzejpTNngb7Kyv2Y2/5pcrwf6o1rnQ6OljnChES+45SHfI\nJlNXnJDJTY+drldEJH/h2Q/y2u5Dap5foI9M2ds7t3id2+v02Ut8Rv1zMZ1V5ljayZ0728dQbRa7\neGaCr7HnGfcxehZXxvXXmg8GUuQuuMhgMBgMryeMQTYYDAaDwWAwGDxcCYMcZoXUzzLJySDPp4zz\nPXNMimp2k4tZ2UZEJL5gDPKMusipm1KdcccRr6lRY6oODvWmBkY4FlChEb8Ro4tLpwuSS/G5F7jB\nuOHGGQNIVNOslfuMiG6cedulCc/lGr9bd6h7ISJSP0e/McMkoj4DKE7pznGmIRPeenScC342QR8h\nGWTVFYczN77GXDdOGfJAl4liQEeCMVwZNA4Z7S/tjzp5kFJWRjQee23mOnZa+Uz7DRval9OIxwxR\niMp1VO+Puj8UoTfONGe/nCIJy5Dd6v0PPBeLmBk16Zi6WM5VnS40MCJI3TgaPKJ7rux8qZPn3Px9\n031S1w1ltUM+FskYb/gMfzK69LwGOk61j8hz2Ch4TwOym3PGkyeZ21s08uKPuwzDmHMyZZgN3V/I\nIBd+1HSrGudeQsN66HgReuMGDd7oOhn4C84hp9tIqff1/j+uwUCMlC7a3z1u6WYhIsUcNyDliU9C\nxloY+ayBNbLs6eS5X9p/wHAhOeTzXfuOX4F6IsW25fw1+IZuHYHn5KF7K1nmosoNBoPB8NrCGGSD\nwWAwGAwGg8HD1WiQo0CmC1GppVSv3KzmKveVDasfU3d7HexPR0m7sOoCICKSUouZkTHS6v/RDTA4\nqglunLm/82ddtElGZJe0f3ozlxrkkafVHIHpmvZUv0xWkIx4RAZzuuA5K5Dly+p0vujnXBdZ2/P8\nlXWNV6i3PSBbSu9n7bc2wPijVXdb5m2lF/GSaORwfGm/PN1lQseL4Sb6K5nRVWhA1/8l5rH0m9Oy\nTXh8UemnWIDzQEFP2XAf2tDGTef0ED6jjpQ6ztXkroiIxNS+tlTLOXXOJIvH9HMmm914RkZPo3rp\naqHMuIhIoNfuQCu78MTzsBaRZPvklT1oHsJve9bDHNpf03GDLgai8dczd8qxdrJZ6bd0OtmBb/TK\nAdw/yihyEWmucD10S8nJSJYuFnxm2x5TqXsaHcPdQyPalfkvNEJ97E45UrKjwW+/LyIitVN8FrSw\nF7PfhiY5+smvyzbhTcx3/L3bIiISD3lyQZcTbZPV3Pen/YD7pO4S17GPMe9h0Hv1/szfgL5X49fD\n/epeh126WHj64viNO5V+Mjp3xJvUCisbvOZcLIS+w1NGZ+cfYV31z8muc5x8y7llBLeqbhnCqPNS\nD633acVFWuc70FkXz+ha8QlcQOJvoWfOl7EHPruQq5779g0Jnle17AaDwWB4/WAMssFgMBgMBoPB\n4OFKGGQREQmcA4JqRRNPr5qRVMnr1A2TuFM3BqGjQ564v9k1aUyR0hkinFb1qr7mT+dwmTm+/HlQ\nMX8la8qhlQlX1javhZXPfcSqMW0o21zwWrLfdXdtQvtc9WIu2Vq9VhnrmZub9qvuGKqhVX2s6qTz\nultn1lBdr1TaKFt68gEdCibOvaDVVRcO/DxfSDgnLLpFP+TBXZeK10vJqNLr9/we2Mwe15PSI1p9\npUVExpu4pn6MjVEtbf0Y7N+MTiWFd9vqJ/hsvAHWX50jlMVfSOA24LP1F3fRr6b5hTMwkXovm3s8\nlZg6BvniLbKjgd4HDNAm6zh6o8f1uD0YbfCZJNmsWmT9WfXss67TBuv9TXpYa8bvhH4XcvqJJxfO\naziiB3D4Amx2scH1UD9cf3qEvjwNsnpXN4e4Rn2XldmNTsDa5z3HyKuzRam/5zOTMdEuoP9xrgyv\niCQveFLEfUsnTtMsIpLNVYvs9MQ511PuNa/JDrGOIlONutuDfILnqLmLL5J6d6vzRdym5rruvnQF\n2f+gg3umvtGZulZQA10Zhw4X0TWwygl9lVPuTRR/h4sF24Q7+yJz15fBYDAYXk8Yg2wwGAwGg8Fg\nMHiwP5ANBoPBYDAYDAYPVyKxSFsiBz8QyZs4Fo16OJadXHNFevMejjI1UGOygiPczjUcm6fNVyUJ\nk/dRDBWmOB6dLVSlEKNbHM+Lc05XOPZKrdKfHsdPV9FmuuTmpvZdZx8zHpr2aCqxUDnA8EN3dFzk\n+LD+EuPMu5RW1NR+jS9NZ4cV0SYuOWfh2DZ+Pv8h+h3uYJzAO6GdXUP72pEWF+JVLc50HD+QRCUu\nk09G7FcLCSFF2PhtHBkfTlxRHZuuCAAAG7xJREFU2mSRHXArx6uUdFAas9DCPTj50JesQHKgMpOj\n73MuLBxTqUoycEVLg5sMwTjScBT83GTx5GhD7b/cKPVT7NfwOq6dXuMecyqp2ox5/907fxcblKzi\nGTqddirrmfawnmTkBjr5gHZhtJiLh/r1wDqP34s5HydjGDJlOemzeJJVp2Gqkee4NvsOF7PGIY/q\n+YyqNZzKZyLP8nB9G8VmOQvggm1aBq5RXsLCvnChV7bJdnGfoxUGg7AgTvsI72Lykw0nGal95mQD\nIiKByg3WYQ2okdd+QWROiYPKFwLar4W0hMsZsBF23DgqbVCLuJSFcZF/jYgUM1fgWa71CYrnitKG\nDa+jdyH5af5y5LXHphY6R0o3ojUUm2YMQik8WYT2F9DuraC0I6jxd8rBoVyGWsEFUVQ+lwaDwWB4\nfWEMssFgMBgMBoPB4OFKGORav5Cb/09eMoZ5BEqsveMY18kqi7FO8J4WVNWOUHCT0/Isa7opXeyC\nXbr2KVgtZbrqx+hjQjZagz5ERKaLaN95CRYpY6GYBkLM+Hn7hYuWVTasdQjmU4MttE08xs+DXc++\niSxf7xkYyuH1Oq+txgfP264wqXnEsA8ybfUDRtfOUCzXYKBH0nds1nQJ7ZMho35ZOKZhKVpsmHrj\naIHb+CUDFRhM0f4VbKpO8jbbyqsog0nwWsaGs4AwuXD0mDKtaouX0KYummhkMvvqu4GSgVrz4Zr+\nbT050AAPXJd7T6ZaBIZzXtsm+zivRjTnflBIH3OZNfncJdX1aPFm6g4SXEBIWj3N0ELFyyEgIiLx\nkNeyn2iqBX74uX6MTsdrngXdEZ+RS0WoyjxOmXPRPPA+U6s8ssD9P4BFW+f//AxvH4EJjW7dcN3R\n5q14ui0iXrzyJ2/j58++xTj7R14btmeoh9qtZQe4Jt5gn35IBpnckEVyBQvgink1KCRYckWh6ZNn\n/Be+29H7mFP29UO24Q0r3LOTHaNILvvhB5jLp4/wAX+XtL4Au53e9/bg1w/w+h76D8eMmn6M8ZWx\n9qOzo2uwgJvdg+Vc9Ndf4wN+1zTSOif7LELmWFDMWOTf9cUyGAwGw+sEY5ANBoPBYDAYDAYPV8Ig\nBzlYz4ixvv1bDMBYdqxm4xDMTe0lWJfRO9A0qnF/OGA09Lljpjq0fAtoU9X6zZmIiMzug8VKG/i8\ncexRekQ0pUaT/RZJVVdc2st5/TdOMO/aMeaQN2iHdQw7rEbbhRaohdp0GW26j3BNn1ZhzQOMq2yh\niEjG9TR2BxwX4zSP23wfbN10zQlWlSFOaJUWDcmAafAE/4tTO3J7EF6gn/EaNMbNPbJj1IT2/luM\nt/ToQdmmGAzFh+otNbq4GGOugacRzWlzpdrTNz/FfVGmL2jUK21FRHrK2HHtiz0GkqhtmNqUhe7/\nbtp+ScdmqEOQMjpZLcN8i7Ml0LAatyy7vIb62PzCO0Eglnq9V97z17mgVmHeesr90LHLyGGGflBD\nq3vho9S26h5r0Ibu0bmbY8Z+L/4YQu+UjHtvEazsyb/7Btbw59+Wbc5+iPs/+T0wovWLanhN8M5v\niUhVhx1NGOvNk4r+TezX6v+N04fRB+izseeel+NPyAzzu7X6L8HkBtT/5iv4vNh2lHjxe9/DWqd4\ndk7exXOwlLyL9/vY4+kdF+BRfwjLtq3fw/ej8c6HGO/ntKY7xO+H+MDt2/jHH2EOytbz9KRNRl4j\nqNM191yHL9FfbQu65ZP/GHu+9DneP/0I+9nedr8Pkn2Mmf3WfZFf/CsxGAwGw+sNY5ANBoPBYDAY\nDAYPVxc1vZyUOtXZIoMoph4LGIGJigZgWGc9sGa+wwEudGzWcB0MdO0QLE/QYrhEG9PWaOggd0z1\nrKNx0ehXHQFUn6oaZdXyiohE1KOOV1m1fikgpE4Wd7Titkv1qKU+dr3FOQWVOVUitLm2iOLcmNrn\n0RrnRIGs7o2IyLxFXe+UUbw1so2MK/6uivmYbPlkmfM/x75FJ3h/yKju3umSW4/HvoqISLfKjAaM\n+S02vKhpdQjQ8AiGV4RcZ+kCUPfuMXWoUYMMpDKr3OOAjLKPYpBU2uZLvEb3U/W5HuucMiJZg0ia\ngzHnQr1sTqbXD3VYofhXHRpUQ6vBF9fweeg9s8XyQrUfjbLOVCvOPaq5Z1T1vaHGa2vUNBnxUtPr\nfRfSfbCvnZdVDX/eRx/NQwZ6nDoXit5TsPLJiFr0AR0cqLGfd+JKXyIirWdnHJAa94xMPE8Yms/x\neXDqWNreoi/kFsn5rCibHvLVD9aID7nX1Ov2ntCFg5HneqJQS9x3rhhgrYsPqdUfco8PyCDr83bk\nIq0bDd4rvafc04L7JlxXLXVuMwU12br7nR0yxQfot/sEfcZHfdeGISK1KCzjxQ0Gg8Hw+sIYZIPB\nYDAYDAaDwUNQeCzVvy6aG7eKN//xfyklkcsuO1uu78EtulaQoFLmtXkEFmjWpetAx7FZg7u4ZvWX\neB3cDNmveiq/yqJOSPZ0n9O1oluNgJ4uUbv5zDHIBcnTizfI7JGQVCcCdWUYuuL4co1L3+Af52+R\nrWVh+5ypxbMFtwetnSrd296jf/An3JtzegIfujaTa+qnq3NS1pRLz3Qcz5c20vfwqq4LN34Ctuy/\n+1/+exER+Ue//pOyzeg59LfqTFF0yNK1qHneYkT0G441S79Cm8YJ5/1HYDmPvwDLrJ7UjeeOcZ3e\nw0LiLTDH+R3GIG/TD3eZk43cHiR71A3fAQv84zfhXjDO8MD97FM4FBSxu6f378NX98ercEX4n379\n9zGXNtYzf4wbFLkUbGl9zzGPIiLzDBuZfgq2M3sPrGO676KZmzexH1FUdS6YTDC39Ih62Q2n2R3T\nLaXUw7fAPhdzPkNdTGp24Ma5/0+4Tz/7QkREhn/8AxERWfjlLsZ5Do1w8aOPyzbxOdpkXzqtuYhI\n+Ml7IiKSf/4Nrrvu/LBLppXMbemZrJpu9Tr2fZDJDKseO7jsZUy2Nn33tpvDz7/CtcqeX6c7Btlb\n9UfOPdY5og9yvoq55J/BXSJaxM/zD+6IiMhs0T1vzX8Olw95H64fIeO2SwacJyTq5SwiEtyBP/TF\nh/hl0v6nf4VLGT2t+vzCi9sO6D+d7e7Jz9I/k4v8xNyQDQaD4TWGMcgGg8FgMBgMBoOHK2GQe72b\nxQ9+8J9JVsff26rzbe27FCzVOda3wQjN18DgafW3xJpi5v5mH94DK9P9HNXrBfWE6pk8WQPDlgyc\njnTew9iNHXVFqBI5s8U6P+97b4K1HN8DY1Q7n1XmHJ/R6/jeomujfsHnVQcNHV/dANRDV8T5K8fq\nSHGCtfe/R2eAA7xfeHOed8FEqvdzOHnVsQNtPAeHKa45/wAa49Ye1pN89VxERLb+MZwCVj919Gnt\ngAwnp5s3MG5eZ/rfCfZz5lX711jtHwzw2egT+MM2X+AeZ13qpg+dXnW+gT2M6QxSPgfsP2/T+cK7\nbdEZPktXce3gJvoNM9yE7kPqVmO31+NNzHOyjH1ZeMj+G/i5tsf772lPJ3ecJlvE6cwbz3AsMLvO\nuZ85z9z5Kr1/VcfL5yKco3Hcxx7PPZ1uPFSzZ1yjjiQhnVXmXXVTcQylsr3RvbtYnz6rf/YLvH8f\nLhbF1m7ZpvjgHhtzTnRryZaxN9EJ77nHBqvzRKnVpctD9hXcMeLbYFcLT+tc3L7OhdE7+evHeKWD\nR8hkRb++IKDOulC3j7fBLgdfsi2Z6nDReSdnZHmn/wHY8+Zz3sMnL9BW/Za7no6d+ueC+nHVimeP\nnqF/OrsELcfWF5r8p6w5f+/o3gb3wFSL5x+tGu2g3ZK/PPtf5Xx+aAyywWAwvMYwBtlgMBgMBoPB\nYPBgfyAbDAaDwWAwGAweriYoZJZK/cWJFCy4aTDeNzzyjmGbtPO6wNF6bYTj3rLAh0euekwqItLm\nka3aRoUshAkP8XPrYoHjO9lB0uFR6dFptT8eZzfOq59jcvisqZZml2J9NdCh5R3hl8fWLPbRo+hk\nX6ptm65gSMMPVNKRX+CIuP0MR8LhOY+8vWP/pMUjYO5XMedaNZBCwyVql+zyRKT3kEf3DA5JaUU1\nWSn46lmPCaUTlw6GM4axZHXMMWt6Uo517H/Me1da9y3S8m4F97zlyULmPVqYTbCu4Q28Nih9UHlJ\nnri9rtMWbbqENQ5uqPUdPz9psY2bfFn0Sdu98SbGmbfwc6eAXCPwjv3V5k+lFVp0GjH7ebKK9dS9\n52DWU8tBrn3MoA0WdmogjR+aE42wH7MVyhe4x1pwOVpDXx1vPc2nmG9BW7yTd7EXmz/Bz4EWn13f\nKNtc3ME9a7+ohsD072K/lrZp3ecFksw/erNybfl8aZTyGvYi8iQ9aQ9zSDtYY/MIxXRqyxa0GbDS\n8uzgTlity+/C6Cau6Tzkc0zLNi3WE3Hx0xe3sOfNbRbV9rA3aoWXf/9e2UZlQMM3aS/I2Pjac343\nVl3YR4lF9De9ibXWdrA/QZfvb2Bf697vnbCJewlZiakrDAaD4XWHMcgGg8FgMBgMBoOHK2GQs2Ys\n/Y/WSgZvsAl2qb3vonujKZi09lMwRP17YHRau8tSQe4YvYt7YJUWc/irFSzKGjPudrQGRqlx6hhX\nZQ7be7ScYn95yUKygHC36+bG+Ob+W7QtY3S1FtjVj8D8nr3r2ijLGKZYR/0UxT8DRvPWz3mBTyYV\nuLbJYrz4BHM8+Qjvt3fA7M0W3G1RxrO1jznFQ1qCXSo+9AuttDDs4HfRb+85xmmykGztlwxn+OLY\ntT8h268xxG0Wn7F4smT81ldcm5coWtJirB4DSoIdFC8lL1nc5EUzN0ekfftgNZdOwaKrFVhZLOWF\nV2gBVMIThMaBsr/4PNo6ZBuPdb4OZrB5yKCQh2AX9ZRDtMjMCwpZOoDV2OWgkGIP/Xe5di1KFBGp\nMSiko6w/nzMNCtHTjfjEY/i5ttY291/nxD7aLArzx0n73KcFMKqrn9P2jUzu5G0wx8lPPyvbNDcw\nt/Emg2nI9La3cQ/G7ynb7Fjnxna/svbZdZ4SqHXbkPdv5O5pXsd3WAsTy4hsnnIEDUaCP9tyW3AX\nxX4h96l+TAZcC+zYv57MiLiCuuYx2kw2MKfWHvZR7eqKz56UbQrax7WekwXm7xDhc1ZGrF/zCjQZ\nS147RL/zT8CqJ/yORCNa3WWeVSTvj2yuiZxdCt0xGAwGw2sHY5ANBoPBYDAYDAYPV6NBLqCfDEic\naPhH88DZvM1o/ZZ1wGLVzmnjNKClWhNscFZ37IvGQ6ved7YKxqh2ChZLdarKXImIBLmGfeSV/pRJ\nVmuwcOpFDAdVi660UW2jlmfBdzjiqYXaZAWsn7LZavuVNhwTWudnOqdYGU/2qzZ59TPfyq06tjLH\nagmmjHvWchrXtIs9Tgacv+4jWdvdP8ach5trZZv2HhhXtVdLm6o9xs/NY7Cnw3X3f6reMzC6tTP0\nt/9D3J+FJ9RqLvAkYcc9B/1b2Kf2Phn3G2T0D7E3067a/bkdaB3x2k1c26fLVphisstft7lO16Z/\nCx2o3nrpFhjLlIx8dwthJuHM3dTTty/dZw2D+RYM6cUdamxP3PM2WqVOnnusbbXfxhlPPa55zwHf\nkwB7ntZ5TzX0heE2+j0SEVn8M2rQP4cN2vz3YNUXUR9f+9nX7NKdyIS0J4y/BXNbjGlPdx+WavGv\naI/mWZwFyoDzO1H7EsxrRlY4oqY/9xjk2hcIKQmoj87n1Qjy7AhMbLTi9L7po6f4BzXOSQzdcLq9\nUxk/6HtxzmSk2zs8gaFtYapzUz0xWWMRkfwxrgnvwoJQGf30FNrkkBrn4tyNE5K1Lu7Avi7+BSzu\nMu5fous8dDZv5XgPnkiRTV9532AwGAyvF4xBNhgMBoPBYDAYPFwNgzwvpLk/ds4DJMj8gIhwBrZR\n9b7xKfSVwQVYzWLCavxWvWzTOmClObWYUQfsY7wPPWxLWWBff8t+4kNGALO/YA72KeLn0bEXFEIm\nt8VIY9UWaht9be+++v+J2jaYqCICc5cwREIZXa3sFxGpH2AdhbJjQ7Bw7T3oLjVAogxwEJF4AHYv\nmFH3qMwxmTCda9h1Wk0NzOiCICzbFGT9NlagpTy55toEaTW2u2TAeUkeV10hRETGqzHXHvAzvK/M\n8WidLOTA01STHZ0Pcc1wk64V1DpnNXWxKJtIUNApgjHhsxtkpGeY03ifccE1P2CFzPoC9m20ofdD\no7r1lMCNo2xzkKOfIsbP9XO01djvwKO3NeJbI8XjkUab85VT1bmLiCSD6nu6xyEf5/GaMsxunCWG\nVgTUBh9/gDnd/BmeHXVayW+5UwHVHnf61DKTrb2g1r77gCcaXsyy/OB9XEomOT7HMxMO+T29CXZW\nnVFEXJDGfIFOLqqpVpaZz3t2c7VsE9LBRfXr4zfx/WlsIyJcI6jFc8vQNZ7cwzgrz7G+iC4q+p0Y\nvO0Cfbp0mRm8jf7jEV0sNEJ7A/vlx0YXq7hWaxJ6rA2IqIGe38ZpShJ5vw/0d9DRiQQD4x0MBoPh\ndYf9JjcYDAaDwWAwGDxcjYtFK5TjjzqlXjWjprKz7TxMJ0t0lzigZyq9X1v79DClv65qX0VEzu/h\nvfUZGJsxfXuTa+hjsMFYZydxlckyxu4t1zhOVd85WeTnC85VQHWjp/fxXjJUJhHv1wb4x/kbjs3S\nz7rL65ybetkyKpmXztuOOWwcY/7xFP239nDt4fcYf33E8cdOEzohy1i7KCptw7nOseA4/tzIFN5h\nrDI1r2snmOs84554+xaT7FNydK6GHfy51kcfFSZ0RM9f6r21rY4fD4PK+yJuX1QvXOMhQ/28qKw3\ndMYkEs2qzG54zkjh0kmE43qexqUemSywsrYh154Mde6ujbLKimDCePQLstBrHNeTr6tmO7l4da0i\nTsMtbpiShY94L/VEIaT0vMGU4mjsNaL+VfW8m/8vNeNkVfUUJHx5UDbp7FIvTK9x1QQv/ALuIznZ\n2fiWY3bzr59hjZyTtlH9b/ANHCKy1G1CQA9u9cNWra7q44uUTh7e/UkZ5ywh5tD8NbTC2XBYeV9y\n9yAEdWzmtb8C+5tzL/IJxoveho6585VzZ0n3YEze+TW17bw2J3OdvdiqrFNEJKSzRY/zdfvHdXyJ\na1N6uos4N5FiPpOi8I4lDAaDwfBawhhkg8FgMBgMBoPBw9UwyInI4FYgWZ2My12wQ6Mtp3GNB8rG\n4W/y4w/x85TerKVzgK8JvYY3h5tgqJRxO/oITNXoBtil+qFj/lR7qgyUsn2qaZ0uk9WKnMhV2dnR\nDbw296vaUKH2eHjTc8sgEznaUCYcP1+8jQHr1E/7zhdTWq12tqhlzTCH4Q1qnjP0df6Wa5O2yTYz\nNUznWqbGKaHrjdM4RX/9D8CStR8wge5daCvr/wMarXxz6NZzRk02mch8ZYEfcK4voQ1duHejbBM9\n3q5cc7sPp4hklymF6g1cc3vdfURN9RhzW6a+vFDmcAVzDLw0QfXkXewxkU11qerooQmEHkO5fBen\nDvMO7kP7s+eVuao3czF1NHrva/roKhvLueXHWE/nazDwwcS5FGSrTGg7AhWeL7TFh/alOnYRkfkq\n9qD+iGyvek1zzarLDTxfZ2U4R//hb2EuD+njfBNzPvhDeBmv/M+/coN/hAfp8B/C9kNPCRYfgPk8\n+ge4l+qaISJy8885f+r7h3xm2o9J9VOLHnka5P7H0PFqemDrM7haqH5YvYyzZy/LNtkfYh2qdS8m\ndLW5rRpnTHa+5rzHk2Pc58FbTDb8IZjvlZ/DTWJ6HZrh5Ke/Kdvkv/899L/H/ery+dugiwnv8fyG\nc/8IHmCe2dePsL7/5HdERGTxc/oiX8MexQP37Ghq6OTtDSl+/pdiMBgMhtcbxiAbDAaDwWAwGAwe\n7A9kg8FgMBgMBoPBw5VILOJxIaufpWU08/QpjlTbu+5YWS24Wls40qz1UcDX2OMRO2OK1U5MRCSk\nxmHxC9i65S3GBh/RImyDgRhDV2AzXUD7DuN0L0cya9R0e8sFHQRTWsCxMq3GoiwtwNIgDBEvUIEF\nSI2TrDJOa49H0DMNBXm1qE1DUmoHODKet3iMzThpv9Br1os4DuZQxtxeCi3Ja96+cT3zf9Viv2jT\n+TUkEU/+BEfuYeridRv7LKjkkfec9nQ5w0saMUITxtedbKY9wtF6SLu64U300Z3jqDulLV9y4o7j\nJ+uUFxzTNu4WJAq1YxRPpYsscvSs+2on6F+jhYcb1SK9hcds48VT92/ivcky78cYEoSMxaGNXcwp\nnLlnp+/Zg4mIhFxH+wnWNbqjseJOYjFex2cBLdW0CFGDQvTZnHWdzCSa4P7M7uKYX++dxiCnLS2u\n9I7wf/6liIh0/wrefekd2rl9+UBERNYpQ8m8qPbwHGtc/wn2LxjzO9HBPdz4c8gm1KZNRESOGCnO\nQrPup2iTvkSAR7SEPci8ArVurtWSWIcWxqnkJYhftWxLfv6N+AgY7pFThqFFgPGWk6xkLOxrLH6M\ncX8DWYMW2tVPKJNYXHB78BmCVQLOWyipyDhHletEh66wL9d48DXIdJb+gnu+iza1G5C15CenZZuU\nhYm10zMJRxMxGAwGw+sNY5ANBoPBYDAYDAYPV8Igp81ADj+JJWvQcmyFBUUvHGumtlu9LoINBrdo\nBfcSLJ0W0RWe09bZe2ptBmZPQySmtGob3iRLd+GWMVsCmzW5xghZ/S8AyUUNg5gsOmYqpp3WCQsH\n6ydJZS6NQ/R/+pFH25I0qx9X44mn12gfNgor6xIRiSfop3FEFvsaPjz6LcYRb9Mmy2szZwBF44Bs\n7CCprEeL8/yQDI2YPv6d6n2Ih2BR0yaZSs9SL28y9IMs7HSZDHKs62R086K7QS1GZuchGEll7xss\nvCwLCZcd8z5d1HvlLABFpCy4m7eVHfYswchEzzvoX5l95oeUhXg+prQVnJE4vFzUWHDual8m4th+\nfWYSMqAavJK29HTA3SANRalfkBVukw0m0a5tssTdn2wFbTo788rcgpQWfrTNy2tur+Mui9VY8Bg9\nhlWbMFo6XSf7TaZXRET2UbxWvIniyYJtg20wofN3ETk93nD3ovOnL7kvfI4ZxawxzkWfzLFvZcZr\nRYsXGXAS1r0HWRwzKyISLS9V1lMcg7kOyf5q8WTQcHOLGIkd7OLaokX2njZz6X2ccgR/6Yr0omX+\n7thz9nciIhH3TS3cNCZbRCRnwWjG4szwDcRUh7ymGLggn8sIFxdELtkFGgwGg+H1gzHIBoPBYDAY\nDAaDh6Aoir/9qr+tkyA4FJHn//+nYzAYDK897hRFsfq3X2YwGAyGf1txJX8gGwwGg8FgMBgMf1dg\nEguDwWAwGAwGg8GD/YFsMBgMBoPBYDB4sD+QDQaDwWAwGAwGD/YHssFgMBgMBoPB4MH+QDYYDAaD\nwWAwGDzYH8gGg8FgMBgMBoMH+wPZYDAYDAaDwWDwYH8gGwwGg8FgMBgMHuwPZIPBYDAYDAaDwcP/\nB/u4Lir5zTcvAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f98066d6470>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(1, figsize=(10, 10))\n",
+ "pl.subplot(2, 2, 1)\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Source samples')\n",
+ "\n",
+ "pl.subplot(2, 2, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Target samples')\n",
+ "\n",
+ "pl.subplot(2, 2, 3)\n",
+ "pl.imshow(M, interpolation='nearest')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Matrix of pairwise distances')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 2 : plots optimal couplings for the different methods\n",
+ "---------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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eNb6/H9bCZr+dtbVsiTSu1SQ979xK0o9RWQk4Niqflq1t1Wles64Ods+NSPUM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/fuNRPaq682k3jh3KN1CAKvoQPvgKsAlXEnyjd3oLs1NBXkGAcPGr/d5mYTbHDZZakpoOWnKvhV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K+OhleNxpZk1dQ75Yx9CgTMYUv6vHI4Bxc7MI4k7xn6K4Qb0cyXc5ti0WsU89JebpqVNFutyR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yFJExbR4iqIfK5yL4GzcOUYbvorYPdSLIV5Yfu7kWWLJXN/NX7M/RB875s5JP8n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\ny7K455cPk0lmkBSV2tO/ROHMxXS++hitrU+jXvGr0fcuOmUeT9/yI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+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f9804347080>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(2, figsize=(10, 6))\n",
+ "\n",
+ "pl.subplot(2, 3, 1)\n",
+ "pl.imshow(ot_emd.coupling_, interpolation='nearest')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nEMDTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 2)\n",
+ "pl.imshow(ot_sinkhorn.coupling_, interpolation='nearest')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 3)\n",
+ "pl.imshow(ot_lpl1.coupling_, interpolation='nearest')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Optimal coupling\\nSinkhornLpl1Transport')\n",
+ "\n",
+ "pl.subplot(2, 3, 4)\n",
+ "ot.plot.plot2D_samples_mat(Xs, Xt, ot_emd.coupling_, c=[.5, .5, 1])\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Main coupling coefficients\\nEMDTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 5)\n",
+ "ot.plot.plot2D_samples_mat(Xs, Xt, ot_sinkhorn.coupling_, c=[.5, .5, 1])\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Main coupling coefficients\\nSinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 6)\n",
+ "ot.plot.plot2D_samples_mat(Xs, Xt, ot_lpl1.coupling_, c=[.5, .5, 1])\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "pl.title('Main coupling coefficients\\nSinkhornLpl1Transport')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Fig 3 : plot transported samples\n",
+ "--------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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iTrVtt1q5cMRILhwxspMSazS9hx3l5QQiYdLc8YAxIJTuTqDYW8+RulpGDkoB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ADODCR5e5fG1V3pu4iIgUBnf781qEGr/82UQVkjwBoblkZkwCo0pzjWSJACJHVvm4oUIjEo+Bpa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\niwtj0zdo2QAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f9804344d68>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# display transported samples\n",
+ "pl.figure(4, figsize=(10, 4))\n",
+ "pl.subplot(1, 3, 1)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.5)\n",
+ "pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.title('Transported samples\\nEmdTransport')\n",
+ "pl.legend(loc=0)\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "\n",
+ "pl.subplot(1, 3, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.5)\n",
+ "pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.title('Transported samples\\nSinkhornTransport')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "\n",
+ "pl.subplot(1, 3, 3)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=0.5)\n",
+ "pl.scatter(transp_Xs_lpl1[:, 0], transp_Xs_lpl1[:, 1], c=ys,\n",
+ " marker='+', label='Transp samples', s=30)\n",
+ "pl.title('Transported samples\\nSinkhornLpl1Transport')\n",
+ "pl.xticks([])\n",
+ "pl.yticks([])\n",
+ "\n",
+ "pl.tight_layout()\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_otda_mapping.ipynb b/notebooks/plot_otda_mapping.ipynb
new file mode 100644
index 0000000..f25eb11
--- /dev/null
+++ b/notebooks/plot_otda_mapping.ipynb
@@ -0,0 +1,288 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# OT mapping estimation for domain adaptation\n",
+ "\n",
+ "\n",
+ "This example presents how to use MappingTransport to estimate at the same\n",
+ "time both the coupling transport and approximate the transport map with either\n",
+ "a linear or a kernelized mapping as introduced in [8].\n",
+ "\n",
+ "[8] M. Perrot, N. Courty, R. Flamary, A. Habrard,\n",
+ " \"Mapping estimation for discrete optimal transport\",\n",
+ " Neural Information Processing Systems (NIPS), 2016.\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Authors: Remi Flamary <remi.flamary@unice.fr>\n",
+ "# Stanislas Chambon <stan.chambon@gmail.com>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "n_source_samples = 100\n",
+ "n_target_samples = 100\n",
+ "theta = 2 * np.pi / 20\n",
+ "noise_level = 0.1\n",
+ "\n",
+ "Xs, ys = ot.datasets.get_data_classif(\n",
+ " 'gaussrot', n_source_samples, nz=noise_level)\n",
+ "Xs_new, _ = ot.datasets.get_data_classif(\n",
+ " 'gaussrot', n_source_samples, nz=noise_level)\n",
+ "Xt, yt = ot.datasets.get_data_classif(\n",
+ " 'gaussrot', n_target_samples, theta=theta, nz=noise_level)\n",
+ "\n",
+ "# one of the target mode changes its variance (no linear mapping)\n",
+ "Xt[yt == 2] *= 3\n",
+ "Xt = Xt + 4"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot data\n",
+ "---------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "<matplotlib.text.Text at 0x7fb0178b1208>"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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39DRG1p4fRyNHjmThwoUsX76c8ePHF87YqyuuuOKKGm+laoiSPG4kRteXuIQk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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fb019d04d68>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(1, (10, 5))\n",
+ "pl.clf()\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n",
+ "pl.legend(loc=0)\n",
+ "pl.title('Source and target distributions')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Instantiate the different transport algorithms and fit them\n",
+ "-----------------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|4.210546e+03|0.000000e+00\n",
+ " 1|4.194392e+03|-3.836611e-03\n",
+ " 2|4.194053e+03|-8.094371e-05\n",
+ " 3|4.193924e+03|-3.056965e-05\n",
+ " 4|4.193849e+03|-1.797118e-05\n",
+ " 5|4.193801e+03|-1.140070e-05\n",
+ " 6|4.193776e+03|-5.930168e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|4.245881e+02|0.000000e+00\n",
+ " 1|4.181680e+02|-1.512078e-02\n",
+ " 2|4.178974e+02|-6.472597e-04\n",
+ " 3|4.177550e+02|-3.406786e-04\n",
+ " 4|4.176586e+02|-2.307406e-04\n",
+ " 5|4.175879e+02|-1.692203e-04\n",
+ " 6|4.175338e+02|-1.295518e-04\n",
+ " 7|4.174909e+02|-1.028089e-04\n",
+ " 8|4.174570e+02|-8.123852e-05\n",
+ " 9|4.174309e+02|-6.257777e-05\n",
+ " 10|4.174083e+02|-5.401101e-05\n"
+ ]
+ }
+ ],
+ "source": [
+ "# MappingTransport with linear kernel\n",
+ "ot_mapping_linear = ot.da.MappingTransport(\n",
+ " kernel=\"linear\", mu=1e0, eta=1e-8, bias=True,\n",
+ " max_iter=20, verbose=True)\n",
+ "\n",
+ "ot_mapping_linear.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# for original source samples, transform applies barycentric mapping\n",
+ "transp_Xs_linear = ot_mapping_linear.transform(Xs=Xs)\n",
+ "\n",
+ "# for out of source samples, transform applies the linear mapping\n",
+ "transp_Xs_linear_new = ot_mapping_linear.transform(Xs=Xs_new)\n",
+ "\n",
+ "\n",
+ "# MappingTransport with gaussian kernel\n",
+ "ot_mapping_gaussian = ot.da.MappingTransport(\n",
+ " kernel=\"gaussian\", eta=1e-5, mu=1e-1, bias=True, sigma=1,\n",
+ " max_iter=10, verbose=True)\n",
+ "ot_mapping_gaussian.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "# for original source samples, transform applies barycentric mapping\n",
+ "transp_Xs_gaussian = ot_mapping_gaussian.transform(Xs=Xs)\n",
+ "\n",
+ "# for out of source samples, transform applies the gaussian mapping\n",
+ "transp_Xs_gaussian_new = ot_mapping_gaussian.transform(Xs=Xs_new)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot transported samples\n",
+ "------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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7eZHN9B+Lx6idWsXerQ1oGGadLSrrKvDTATMWTGX1P9cRK4pRXlWKBiF+KqS8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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7fb0177ef7f0>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(2)\n",
+ "pl.clf()\n",
+ "pl.subplot(2, 2, 1)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=.2)\n",
+ "pl.scatter(transp_Xs_linear[:, 0], transp_Xs_linear[:, 1], c=ys, marker='+',\n",
+ " label='Mapped source samples')\n",
+ "pl.title(\"Bary. mapping (linear)\")\n",
+ "pl.legend(loc=0)\n",
+ "\n",
+ "pl.subplot(2, 2, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=.2)\n",
+ "pl.scatter(transp_Xs_linear_new[:, 0], transp_Xs_linear_new[:, 1],\n",
+ " c=ys, marker='+', label='Learned mapping')\n",
+ "pl.title(\"Estim. mapping (linear)\")\n",
+ "\n",
+ "pl.subplot(2, 2, 3)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=.2)\n",
+ "pl.scatter(transp_Xs_gaussian[:, 0], transp_Xs_gaussian[:, 1], c=ys,\n",
+ " marker='+', label='barycentric mapping')\n",
+ "pl.title(\"Bary. mapping (kernel)\")\n",
+ "\n",
+ "pl.subplot(2, 2, 4)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n",
+ " label='Target samples', alpha=.2)\n",
+ "pl.scatter(transp_Xs_gaussian_new[:, 0], transp_Xs_gaussian_new[:, 1], c=ys,\n",
+ " marker='+', label='Learned mapping')\n",
+ "pl.title(\"Estim. mapping (kernel)\")\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/plot_otda_mapping_colors_images.ipynb b/notebooks/plot_otda_mapping_colors_images.ipynb
new file mode 100644
index 0000000..288f4f1
--- /dev/null
+++ b/notebooks/plot_otda_mapping_colors_images.ipynb
@@ -0,0 +1,363 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "# OT for image color adaptation with mapping estimation\n",
+ "\n",
+ "\n",
+ "OT for domain adaptation with image color adaptation [6] with mapping\n",
+ "estimation [8].\n",
+ "\n",
+ "[6] Ferradans, S., Papadakis, N., Peyre, G., & Aujol, J. F. (2014). Regularized\n",
+ " discrete optimal transport. SIAM Journal on Imaging Sciences, 7(3),\n",
+ " 1853-1882.\n",
+ "[8] M. Perrot, N. Courty, R. Flamary, A. Habrard, \"Mapping estimation for\n",
+ " discrete optimal transport\", Neural Information Processing Systems (NIPS),\n",
+ " 2016.\n",
+ "\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Authors: Remi Flamary <remi.flamary@unice.fr>\n",
+ "# Stanislas Chambon <stan.chambon@gmail.com>\n",
+ "#\n",
+ "# License: MIT License\n",
+ "\n",
+ "import numpy as np\n",
+ "from scipy import ndimage\n",
+ "import matplotlib.pylab as pl\n",
+ "import ot\n",
+ "\n",
+ "r = np.random.RandomState(42)\n",
+ "\n",
+ "\n",
+ "def im2mat(I):\n",
+ " \"\"\"Converts and image to matrix (one pixel per line)\"\"\"\n",
+ " return I.reshape((I.shape[0] * I.shape[1], I.shape[2]))\n",
+ "\n",
+ "\n",
+ "def mat2im(X, shape):\n",
+ " \"\"\"Converts back a matrix to an image\"\"\"\n",
+ " return X.reshape(shape)\n",
+ "\n",
+ "\n",
+ "def minmax(I):\n",
+ " return np.clip(I, 0, 1)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate data\n",
+ "-------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Loading images\n",
+ "I1 = ndimage.imread('../data/ocean_day.jpg').astype(np.float64) / 256\n",
+ "I2 = ndimage.imread('../data/ocean_sunset.jpg').astype(np.float64) / 256\n",
+ "\n",
+ "\n",
+ "X1 = im2mat(I1)\n",
+ "X2 = im2mat(I2)\n",
+ "\n",
+ "# training samples\n",
+ "nb = 1000\n",
+ "idx1 = r.randint(X1.shape[0], size=(nb,))\n",
+ "idx2 = r.randint(X2.shape[0], size=(nb,))\n",
+ "\n",
+ "Xs = X1[idx1, :]\n",
+ "Xt = X2[idx2, :]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Domain adaptation for pixel distribution transfer\n",
+ "-------------------------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|3.680514e+02|0.000000e+00\n",
+ " 1|3.592355e+02|-2.395298e-02\n",
+ " 2|3.590579e+02|-4.943115e-04\n",
+ " 3|3.589661e+02|-2.556530e-04\n",
+ " 4|3.589094e+02|-1.577896e-04\n",
+ " 5|3.588705e+02|-1.084239e-04\n",
+ " 6|3.588421e+02|-7.914757e-05\n",
+ " 7|3.588206e+02|-6.013011e-05\n",
+ " 8|3.588034e+02|-4.783086e-05\n",
+ " 9|3.587895e+02|-3.866500e-05\n",
+ " 10|3.587781e+02|-3.194454e-05\n",
+ " 11|3.587684e+02|-2.697250e-05\n",
+ " 12|3.587601e+02|-2.296505e-05\n",
+ " 13|3.587530e+02|-1.975975e-05\n",
+ " 14|3.587468e+02|-1.733678e-05\n",
+ " 15|3.587413e+02|-1.535580e-05\n",
+ " 16|3.587365e+02|-1.350581e-05\n",
+ " 17|3.587321e+02|-1.209997e-05\n",
+ " 18|3.587282e+02|-1.086348e-05\n",
+ " 19|3.587268e+02|-4.096770e-06\n",
+ "It. |Loss |Delta loss\n",
+ "--------------------------------\n",
+ " 0|3.784725e+02|0.000000e+00\n",
+ " 1|3.646380e+02|-3.655332e-02\n",
+ " 2|3.642858e+02|-9.660434e-04\n",
+ " 3|3.641516e+02|-3.683776e-04\n",
+ " 4|3.640785e+02|-2.008220e-04\n",
+ " 5|3.640320e+02|-1.276966e-04\n",
+ " 6|3.639999e+02|-8.796173e-05\n",
+ " 7|3.639764e+02|-6.455658e-05\n",
+ " 8|3.639583e+02|-4.976436e-05\n",
+ " 9|3.639440e+02|-3.946556e-05\n",
+ " 10|3.639322e+02|-3.222132e-05\n"
+ ]
+ }
+ ],
+ "source": [
+ "# EMDTransport\n",
+ "ot_emd = ot.da.EMDTransport()\n",
+ "ot_emd.fit(Xs=Xs, Xt=Xt)\n",
+ "transp_Xs_emd = ot_emd.transform(Xs=X1)\n",
+ "Image_emd = minmax(mat2im(transp_Xs_emd, I1.shape))\n",
+ "\n",
+ "# SinkhornTransport\n",
+ "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n",
+ "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n",
+ "transp_Xs_sinkhorn = ot_emd.transform(Xs=X1)\n",
+ "Image_sinkhorn = minmax(mat2im(transp_Xs_sinkhorn, I1.shape))\n",
+ "\n",
+ "ot_mapping_linear = ot.da.MappingTransport(\n",
+ " mu=1e0, eta=1e-8, bias=True, max_iter=20, verbose=True)\n",
+ "ot_mapping_linear.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "X1tl = ot_mapping_linear.transform(Xs=X1)\n",
+ "Image_mapping_linear = minmax(mat2im(X1tl, I1.shape))\n",
+ "\n",
+ "ot_mapping_gaussian = ot.da.MappingTransport(\n",
+ " mu=1e0, eta=1e-2, sigma=1, bias=False, max_iter=10, verbose=True)\n",
+ "ot_mapping_gaussian.fit(Xs=Xs, Xt=Xt)\n",
+ "\n",
+ "X1tn = ot_mapping_gaussian.transform(Xs=X1) # use the estimated mapping\n",
+ "Image_mapping_gaussian = minmax(mat2im(X1tn, I1.shape))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot original images\n",
+ "--------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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JTgVSA3I4do8zhuEidFGaFmaCU5wpbnj5AuYU59/z72bRawh8214lb8rgJBnJY6ARKALr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\nMhjpyin4AAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f281a75f748>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(1, figsize=(6.4, 3))\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.imshow(I1)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 1')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.imshow(I2)\n",
+ "pl.axis('off')\n",
+ "pl.title('Image 2')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot pixel values distribution\n",
+ "------------------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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TTVQ29qQaXoEDbYeq1kB1OByOU80ZJYrfe3oH2SrtlmqRVG0biOK0Azs8Bl7G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\nzMyyvwEnvbs5vBaWXAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f281541a780>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(2, figsize=(6.4, 5))\n",
+ "\n",
+ "pl.subplot(1, 2, 1)\n",
+ "pl.scatter(Xs[:, 0], Xs[:, 2], c=Xs)\n",
+ "pl.axis([0, 1, 0, 1])\n",
+ "pl.xlabel('Red')\n",
+ "pl.ylabel('Blue')\n",
+ "pl.title('Image 1')\n",
+ "\n",
+ "pl.subplot(1, 2, 2)\n",
+ "pl.scatter(Xt[:, 0], Xt[:, 2], c=Xt)\n",
+ "pl.axis([0, 1, 0, 1])\n",
+ "pl.xlabel('Red')\n",
+ "pl.ylabel('Blue')\n",
+ "pl.title('Image 2')\n",
+ "pl.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plot transformed images\n",
+ "-----------------------\n",
+ "\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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OeUI9r3V7/FncBOA1bpv3hE16F2hS4BvdnLfEVW73RXf8EKZZjhIINNyhcz4g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LuEu7pTrRvyeREASY46RahzJiu2qf4tq6QOhwFih7LmyIr6+zP3jLa+6Te/aCEsh3hIR6\n5LgqfR4x75nFjHmH5oEhxGLhRRAU6QLSC8NiYMiCJmdkLJZK4LgBukTd6beNxeYMszkbvssdKBtB\n2XQjA2Mwtq1ErlACR2JCiajAmAY8BDpXUqiPjioku6D04jArN7tYEajLnFCB6JGcUpnh54HsSsw1\nmoKPzLS4WUgo/rwmAQsZN6Onp5ORLoJqZlAp4cNwNkKxivYGfTQWWYh9JJHxMdOJIxiCodoj6mRV\nZuIl6sSY6TWzl5ydUNwCkEggMEQnUoS6Bsekx/PIDGUnCJ13EAxPIxlhLkLWwKY6yUq4M1NhQ8qL\nc0+clEsIPR/HEvEhK9ZFlq7sZCH4HNyYd85sdESMHAVjs0xq1IhkAy/uD1kcswRWOj3mzlydHZmx\n6UYIho+7bIQ5e77LLAaWY1+s7O5ogB5H3Rk3nJw7kiiSB3oxhpSQsIVKuVlPa6b3iIkCTsyw1ESs\npzYzkmQDJTHzgGZjNwLeoVkZud9DNn7SWD3XRYU3bicumwVuHBKP7ssr98Y07gtkd7oaEz+xyzUb\n5Zp49HzGXy5C8XsX4epZyfOYZG4aR9ydhW1w9QzuyMqZZBwNChkuisb7arCix3TGe0flsdE45V7S\nAFdH5/17RTAvdWBm/Xr5g8PIO4EreuV4LeP7hjlXzRbrOt6QFBHo7QiXzUeWwIzMqVr5x3TGO/bK\n8nV95oah1PfSmDm12XN6XHLaBo5vlPV/cnrJp2yV9jkeD86TeWeKHN2Ad5wZeeJWSX9yL3N0o+OE\nKqdtYHss+1wbAn98asGVc+HvHNvk97fLx70erT1aO2HXItxUH1M+fVsBJyXw2h2AAAK/sg1PPaq8\naf1B2MDH0nE+sLfg5pzKYw1AYFnfaickc6cpv30ycDwYr9ou7lMnApxKgSdvBbY24E92jDtH55kn\njNefClWoCFECTz9R6vOqk3O++KIRvLieAWzmjhefjDz3qDLYci2eO+l5eLfL3+TIh5cbbPbChwYn\n+oBIkQBFKJdlpUz0FuDRcT/azrW9IzPIDirCjdv7r8GHzRIWAFdOLuK6M/Zgx6oc6cRxlyqESqcA\nYOYTweLQrwxQbmuROIrQUeaNiAirj4hLFX3u4KIkgQ1xRt9P4yKsbAQjRWwJwga+1mojlLkxQOeO\n1w2CsokDThIhUURfmYS+zwZF+HUijEgZX3ajm+S/fnYJxIm47igCMU+FuQhaRdnIQb11pLaKia5F\n2QAcqaIxsi+uk8CslmcUR2rHwlXWAiwBqYa4nXZQSmG15FXfRT3Qq5f7ERgpk+zdS33Xt3tNH4CA\nlXkzwEy8PnfLneK1rguEHseAJEV8lqoV45rV8xFrp8nx0uYU0dp7mX81sC+eOyjRxsxKJ0cVqfXr\nVi3k+8tZwlrYl05bNXLUMhrODCO7VFdT4QjGESkiu5wP7jMuKB/kv/e053ukZzMam6MRPRNlybYF\n5mosQw+ihBp1wSgT5SQ7e8NAQkhpv+/rsQyFMwRGjCXGTAJLN47aiNYuUcLxpAxSQnTNYiCocvUs\nM7rilIe7ia2tJ7gRQkBEGDys4+cmGTGDjQSDJJJl+iw1ooEjObOsPs7qu/QhgkcWXie8aS27O10Q\numoZjgh9V3x+sxkxdmVym5QLMHj5H0Mt77hkHgyNfbHqYoTQETwxC6Vr34mxyKwfRFGKJbjL0Gli\ng8BJTcy1ZwAWGG49SqITZXSjVyVXv3EJEUXK5DzPJC+CIHtxaclaboDkMGRl7CKjByyXc2Va4jFv\ndDOijwg9FgZynuGaIRmo0jk1lFqJxywiJVxc7FFfEKu1ISJ0ZMZcYlmbRAiOWyB5ZAglOkrEyK7F\nLYJcYkJHJXvPrkaUER+VpEqKwuglPnIQZREjePGJ3kxLFgSydiyCQ65WFFMGH/kvr/yFB70lCuCF\nT3m637BQHjvfFw9TS/G1XeRMjaryxu1yP16/2fOe3YHHbRSh+u69gacfKQ/sD3lc7/vuvf00ANu5\nTB49FgPvWow8ft5xuZY8/2bIbMUZ9X3De3YHrq+W7NE6eimdkjeeGfj0o0e4IozcshS6mkq1jQAA\nIABJREFUWMr2vt0drp0X8b60JVfPlFuWwm3Dcr0+K4Razaww1ufL3AI3pSJO3Z1Hb5QvoS4scSzs\nP1OHsRzrsvnIzItw+5079l9/n3J0g7mVTsNClmuLdWnTcv+Ij1zXB/5iZ+RIt98207THtOfWZRH4\nlmQtlg9z43L1Yt8/X9doRCZm9psmE0qFIp6Wk+z80OelVhf1NN0G++Jr7omlB77sosBrTo6IlHv2\nGcczGzny6h0vVuu6frEbufyoMA6wG0aOh44PbzsPmwmxdqROjQObubaPCDtavgTe53I+ruoTosKH\nhk3O+ILehST5gKV5RR6NSzrjjkGLRRk4udjv4P3QX7/9QX/f/uPPf57P8Wq1LUyFWAZyVbPzibXX\nHXJ9PwTftxhuiq+tvMF9nQbqvGp3VIvgGhCGfSM0M125TJbf+wJZq4yE4EWUDZRJ5/uWZyOtVbcz\nitK5E9lff9iCuZI4LtBVwWsOthqpcg5c/6vOxIisrZY6Fc41r5LYDojnvi4OtV7ZYTbpoU7T1sCk\n6+VzWStXbdexf74cRWXy/J3en/X39KI9/ImRVfJpuoHJ10DcGERLR8bqSLWU8ps7R4TaEbC1eB1q\nfpFyPfSU58Gqg2K+f80U4V5KsahnXUUINdKVeelYBLd1+aZPtN6tHn8/z1VKc/i9t/zeQ8+CjEfM\nRnZd2ejLUFm2GX3IxJS5WBcss5N8hiMkj9gwEqxc+FKHwcW82E49EgzG6m4RDfZkiZuw7c6lGXbE\nwJ0znplJx9FQPmSRVbkDIWTjIk0l7m798EWJmyz0AYbk5M6J2RF1elcyELtMnzJLEUxAa5QIVWMj\nwDgm+jqsmXF6FAmlZyRkQgx4neAVDDSU2L+Z4uLgntD6QYuAoaFYNj0nYnDoAsEj6kYXYgmXp6kc\nR5UownEbSw85lB7lKIEtcTp1Zt0MJXG5bLAzDkSPqHQc6QOLVMS22oi7wDyyNypD7fUHi+QQGM0w\nieyNCbQj2FhCohmoGJ0ZopACOIICnXQMuTxGlPohE83VpcJxL9E+DC2xqBUQp8eZ+RIJXXWDUFBl\nw7xGmIgEgYUpruBpiSSns+KKkSNYVrrqwpNEwEdm5iQPoJlOMyEHUlKkfjyG4GVYNhmRjk4z3biH\nD5lRZ5hkgncHBMZDhcMi+b3LIvT+Zs+4frM8+lfCeLWMw8UbA9dLz4cmbXLxRk0j/fpJePEsQ83T\nVPiCixxGJ3XGYuy5dSyjGI/b6Pbzr2SFFMq+IsLJrqMfnctmwk41MVy/2XNcyivnzctMjDP+arHD\nU7d63nymiN8nbW3ytt395ZW4xuD6vhzvPbvDgTTv2ivLj593XDIrYvPVp0cetnofR+WzZuVLrgsO\nujPcOhFuV9TqXNcH3rBjXL+5wZm0397XTdwwbhiMo6V3zSmxA2+T1XqA6WfrLJVjPXI+59bF3nr9\ntWE/X43Oewc74KYCsHo3T8XyUvaFw16JyAjAw6NwcxZ+7WR5+Z0Q43iEt+0GnnVcYSfzutOBZ53I\nHIsdZ3rhtz+aeOpMuexYt65L10+Ez+qDPpXazDyyumaseNWphEjHs7cSj56tBJlADKTdgdgHrjsK\nZOVYD0rg5DIhs5rH8qEVfeawSF5ZAMvdtzKvHrS01lXrYfUV68GFiRQJ1SopIsyqOF4izMWJ1ToZ\nmLguTPYVigUWYJASZUpqXlPBu9qnp4TunImTYe0WMB5aPnCMuqzsi59RSl6lHWTtSnDMrXyYqh55\nPItSE5EDbbIWgFLaVhRG3y/AVLVtuK8F8wZ+QDxP+6D9oTY6G9M6dqzcFg5y+Jyullc/+4nfg1As\n9NmLAa1++YFNcRa157RBcfkowQogWnHRsEkpD5/faflXna2VW8eKUCfgp3ouVp2oGZCsjCKE1auf\nOn/fWI9W3Jefh76gLMh/9/Oe72JSJjkR6BU2FaJmjjkgmSgjo5VoBdYVf8SwLGLKLLIrGVzpXMjS\nswiZnANDiAzjWL+Ityw+ZyEws8wMZSaQao8yxshMR5DM4IFjoiV2cizxdE0A69AaN9msxHC22JX4\nvimBOcENH42UEoNlwHDRKnRDEVNSrMVaIzZkGaFajtQyHpQ5IzPKhZhwNjVCjeSQQld6yV39Qpw7\nA8aGRFRBQybaJknGYm2nZzdmtlR5hGSSZELuGDpBcnkRpih0DhuSmKmwaw45M+iM0TKdCrupeALt\nmjK6F+uwKUFg9FxNVJHBqhXeHdFM8lB9qaqrh5ZtI8Vq36E4I1kzsVohi103g0dcDBPFTZGwAI/F\nUuyJPhafxdVX+1IUTiydHcnspMisBMgAyWgyFrn6tK56/SjBU/ka4CzQOUQfWIZNBhN6H9lLgWV2\n9gRyKH5PO9qXyXwOu26MaTUsZJgKgwQGg99+1UPDgvw9X/AlDnA673EsbACwbcIlfWKZiriaxbxe\nPswpAo/oMrvV6+S9ssljfHedz9E6YXXbhD/bHrjm+MO41M6s19/IUawOqT/Gdzmdy3VyJOyL36EO\nF644EkrT70zG3x7bjdwwTj0x97k97ovtW06d4jlbPb+/PfCkrU16nNtjz2VpWKd5y5k9vuR4xwdz\nd+Ble0nYd635aLV4zhlZcNfjjinxzsXAZ24W8czKJzeWEZDDzBnXgnlmPTelXZ5+RHnvqGuXkrft\nnFm7dlykyh+fLr4pT9jq1hZoq1Jh5Z94oj4HT9uAETmhyp1m6/SnkrFSCzflfEBQ3/Rxwhk+ddN4\n427J/1HV1/tUguMTU81j5oHrt4Qbdpwr5s4HF0IcjMuOCbefLm0y30wci/ttuBLwKy3yujszz5r4\nRg9LJ1U3p6tmpR4r9x4o92qxvNXfbpiCuPIP//RtD/r79tu/4Esdir/+yhqqsHZPgyJU7Bx6oAey\nCtlW1mXF19bVfcFblovlkYl7hsq+X627kar73dTaOz0fq21wQI+SBM41naPjoMjak/IeKyK5uAxM\nRWh0Z6c+Jw64hE2+jjyycnuwtZ/sFPciYFdPggNC/ixljNhaMLsIXbWEduyP5Jqzdu3YRdiQ/Wty\nVf5VXVf37Epsxrptr7qvrNKHib/wIRdkPp4E7DGGaTs4B3yIoVw7qfqiJ4co1UrPvmDNh87vSsCv\nbv2unrMV5tM0dpeyO0Zw2e8IqNJZIhH4rTc/BC3Ij5U9TnqxAIOySRnuCYCEEuZtKWVY3m3Eh4DK\nBhJ2ypflfOASE0bJmAhZnD47eznBuCSqMHoqQkggWCZFZTlmOheGetFFKf5AMSpzK2IOB0zxUHrI\nqsKYS2QGNNObkFIZVo9h9QBKxY9RACvO5+ZGFAHJLOhIVqJDxFB6XooS66ewNYAqHOs6erMasqyI\n9BCLsOzFUC+91E5D6blaYFQnaAQCsV+yQY/lPWIobhqWhe2Z8GgLLDdGYnLyTBg8skciExi0I4jQ\nSyYRsUFYakQdtI+Mg5eYwElIVizx5TPcQgyAjcQIyQLLsXzARaX6IgEdinmJCx3MkZAIBkmcGT05\nrjoKjoUONy02CCndxQ4la/nyIHGTHIovpKLsuRYfuE5wEkk6tpNxJAAC0ZVZ56SUcA0MWcgecJw+\nCnsOyZ2OOcLAHXmTY25V9wdiDMUSbYlBgZTwIZG6iIfSCZq5EHJinozlZDjswc5K/IrO2TYBDUDm\no0MEDVwSl+tlgMu78gjLngkS2CTz4TFySSxi7Ylsr/PelED2zO2pZ0uV516cWKZttuOMG63HJK8C\nvnC5ZG70o8WEQPlywKXdwIc98ETd5a/tKABP0G3emY+SNBNr4kt14E9tg0eFfb/jW6pXm0kmE7nG\nB94vytUnjjPayNUnNrg87/HusIF6OCC6rzn+MN4FXMLeWlxfY2kt3mHfSrVgX0RPhXYfA5+9tQHV\n8nbAdFRZTSAD2E5CV30Obtrd4RH9jBtGOBqdi+pkuSf1R3nf7g5PP6Lc7D2fdaTcU289c4YnHN3g\n6t54/+Dcuizpr+gjd9q+8FESp20lfEpdPrDY95X+jLruuPZ8YLngulgKt7JOH+aNuxMLtQduHjNX\n95lbhrB+kz7cjfecKT9u3ROu3VBucvjggnWbHIsdm/VYN2w7j9yo7VkF9BNU+Z2PGU8/Xq69128H\nnnGiCIqPsckVtuSDOuNidstLvKgSCAHNGdGw9hV9KLASvyvRtBbD7kSpk9TqMux3NFaCJFM6IboW\nMJPOhZSmi+7sSfnokrkTtUQSmuqvIEVATzuvWi2VprJ2R1giBPeDEwar6JqK3JVQdIpoHwWi2XqE\nYWV77qoFdCq6VeBovddW+QyiByYIrpaS67q+U6Etsu8q4XWC2mGmYnJ03Z8M6eVd2AGdGDsTH+FA\nsbBuyf4EQkfpKdZ18RJ3Hy/W89VIwEjxv451eVUvE6Vfm5BrWaiPzvr7Lp9ArAyTMmeKr3Mnxui6\n3jdi4LIWxKuzGw+5ruj6BMjazWYtoGuHJq90WP0TivtPlnJNmJfZBEmKntj0YtV2Nwa5byXtBSWQ\nb12CqZPM2CAwWGYjCCfEkLy3nnznJEQUFWdDBgKCG/QBtDP6pCys3IRZBO0GuiykZIweOCZGkvIF\nvGxj/YCI0rswiDMOMHaOjJmZdbgkoig9mZlo9UEa6KQDs+JILhEJQtcJkkoPepEVF0dspI8BySUq\nBh6LY7oA4jiKkUGdvj5gosMylweWuLCL4bHDxNFs5St2FgmSy0Q5NYiOGQySmUtPcEgqQMSyMAsR\nD4njrmzriOfILVG5ulMe1p0C6VnQ87GllI4DHWes+DHPPBM6IeTM4MqZrGx0cDTscakEdtU4OQQW\nKJvVl9hRRIr/Uo6Qs9F1SsjlRhFxRlc2QhHJKXckNyRo9Ss2OlGkWq2TJQhKyk6IELzHguOhx81R\n6UihY7TELkZOgdMWUToWpqQwskiCiDLLBtkYXJiPJYKHSCZ7YMcDRsKtuqgkwVlyWnuOaGaQwOiw\nu8zcKRDJ9XPSINkYkpEwNJfJkirO7CH0sg0SmMXMdu64VEeCOKMYHxt7Lu6G+vYJZRn4y3wMgE8N\n65lgXNwNBM5uYT6B8xERNnXkBM6H6/pLq58p1Xr8cD37xMdHxSVYEcYAH2G2Xj+kyEeqdfVSHdiU\n/TzM9qNgPIwSXeFyydzuPY+IZ7gxz7lBt9ZpbpaS/pqw4PZapiNBUC/1OtJtI2k/zxVHgJ1qaH1c\n3mMId30Mf1g7Lh+Hu6y/KGRec6as//Qjm2uhcf1mz5t2yvqnxI7bbN8Cfv1mz6BWVE6dCPeEoxt0\nMSIycjTIROzsX6fXHYqkccOkONf11Z1myFzXBzbDyCnT9fq3ntp/3U6tzHexNit8/vEZeqdP/KYP\ndiZ//+TIF13UcfNif/27d22dbksCR2pZ3zTsn8+tzg/US0R4+HzGzXdkdrvy8vY+85G0xcPjDj4R\nbe55bU1+KCBS/GjFywQsEeirfFzVcjUhGZgIxoNi8bAv6wqV1VdLa2fK99cfTDe1Ge8TtfgpLycu\nBwMQ66jfNL+pHbcGkWKo5VPK8HtZLpbvYowpgnCjCrY9P+S2UZdn5LXVeMrUzWPg7MP4G8KBqA77\nOBtVnO5NXIOEfZeVkYO+ylPXh+n/1XqZtMMBl4a7HvpAnrDf6RGoEy7L+kkQmQOW2sPWZpHqSiMT\nAXnolGZzwqGT3096S6meJ4DpPNg5zu66LqWDE+ocq9NWOiAqoC53qeu0ze4rLiiBrMFZpEwOHRuW\nmUVhw0fclWO9gAcMp5PyWV+3kQWOu3LxfMAWAZdAF4x53OOYRyCzzMWqfEoFl8xYXRFQYXRnlAGJ\nG+Ajy1xm98pYL+QgqJTgx1lgWWMDRy++xQlnA8W1TN7KKZUhpJTwbEScTktv3XMZtuvziAfwBB4U\ndSEJjBKLa0kwRJTNWYmS4MBW6Fl4YiblC3BJlYATLND35WE3eonFvBk7Oil5ZM+cDspWDKgpJh1d\nVB4ZnNsskLVnGMF9ExQuDQOXzGCveml5cO6UGb1mjpKYdx1uodbTQTf5mI3MPHI0GstqPcUCBC8z\nXjth6QHRDhmMrDDLzlKLhWDwgEnHEISumxNyIrsTc6KT8hXBkEYGMmMObGCY9dBDTo6RyTrjJEZe\nGoRIHBZ4GtiIPSowM2PMjlmmU0P3Skg4FE6bEtOIdqFY6Hwo4aFmio4ZQ5jjeDqDEVBPuEBUJbiX\nD6R0jg3GGTM8Z3qHpZUJKWDcfgG5Mn2ifHiMXNwZF/cjZoJpcam5eFYswg5cHOqywFXssciRpJmd\ntXALLHJkXqPCrLSIOKSQuSQsOWM9H80z+j4x98QJd+4UYZk6LosDW2Qui8JHqpvE5WHgThE+Mm6x\nlCWnfcYc52i3wzELjGMH4lzV7a7r8rGJgL262lAGnIUETiPM3TlO5q/yFifIIDDHWEgJzQhwko7L\ntCzvunKsTsa7NR9lpnd1OVh64JF9KcOttsmRqiVP9PvlCnkO1d/5o97xKIql+wa2eN5F2+xWd42V\n0F7QcfWJTR6f9sjqbFAs2wPCbd0mVsV2qOb3TYn8+ZldQnXnuHpz313hijDye6dGrp51fPj/5+7d\nmmQ5riy9b293j4i81PUABwBBgACa3dNUS7Iek2SyMdOzHvUH9NP0Q3R5Gz3IpLHRy0jd6m6SAAkC\nBHCAU6dOVd4i/LL14B6ZWQDYMlPTbAC4GYk8WZFxj/Dly9deq53brHDpK/i87jOjOD6dFJEaWz8W\nR2eBX08jIsLlskOsLv+33+pmLrXeA1dl4lI7/vf78WiJ996qb9egtnfDxPNFYGPGBwNsW8H0477w\nxWS80wkbK3zysvayF75+B/BPO+Hf3p8A+TIH9rHwwa1r85NwkGveZ8/YCnulDe6AlvL509AgizXg\nqu7oWDGzqPAUCHhqPUq19KvpoHUlIGfT5DMDmKiMZhGhkypTWbrKZM7bMaTmEgCDyskirg1LIq7a\ntaKtuC1DK/yC8gRshTMYdDhanVXw1LX9nYveYtvX+SqWJl0IKkdG1WHNnai2/nvSmM/dKpzosXDO\nnSHDbDVVtp7vkxyiA6LWwrNzdjWhdFIzG4I1izVoM8NKpllbztKLJsmo/hFyLIwUqpxr1Zjto/zi\n+H+1Rmsnrh6zGJNolWOINZJPCHIqCPw20jxKHRpjPlETcY+FhnIqY/TU2iJrRXnVOaXeAzPD7LGT\ngoxTEebB5MngIyHkJmNZHe9V5aByAtsNqFspGOVPDuL+/7QfFEC+sPrinlrgg1l9SL3CnTkwIYX+\nqFVaec+WjmsZ2edE6JRFFu4s8VAWXPlMJ5mmaGBpwgEjN4uoLiSGNrUz5YlClSWkUqjyySavwNVH\n3erEhbXvvRW089UaThIXpuzLRGov8ZxByCxFiSliXtGUCerJOWFBSWZ4Z0hRHIonV2CbM1EDU0mo\nCsti1eIuF/ZF2USjU8dbYaQzx6CZ3lVni4LRq1BwWBBWpZ4A3wemAqLKwcHndsFgmQcFwyiWebCB\ne4PgDKfGYI5bjYwFBl9fDJGJ3lWJ/CFBT8eORBJlKUapvj+4UjudXbEaXe09yzJyiMKDS/gMB/E4\n51Ar9AIWJ7w6OslYybicSQJWIFPa+aqgtURPdI5YqEl4Woe1/TQR2CMqxBKO4ScatzCNiBjGgLdq\nn9Orr2Ev48TeOVxxZCuM44gYeKvpexQluvoSz6J0ecQ5h8UMkVaoV+igassFHqnTZaV8lw38sba/\nDO0BKnCnBkXYSZ0VWUo8A8G1XZuBRsiBayrIPX43v5DPxg/37ffHZQq8Onshiikvcs+nKO/5k0Ti\nq9JzQOk08ZZOkOuyLg8MrYsczSF/Yvp/Om5AGBowOqBHGcbv83D8/FWu3O3gqu5am5D90F7vQ7vn\n+jYAGFOo+9a+/7wsj9vdtrfwtn03ULiUEzB7QyKlWcO9mSd2OfA7Gfi5RaRRaO/KyH0J/KNb8De6\nAzmwlZ4uGR/mBKqsxNikmVG1o5wDeMLlf5M9/+Xak0t+on2emivN+8vA//yw418vlxwK/I8PI/9F\nt6QLidxYdTcZY/vt3z9O/He3nt9OmYLnuavH9qZ3fJ2qX/SbPkMDx/Pf/ykKDyP8qq/7+I/TwGZK\n/O2y8OGi48Mqf+eT/URshYj/7cLzv9xH3umEv1rChSp+Krzyxt1oJFN+GTh6+UqB+76uaDg8PNEk\nF+FU+fMjb2fW4hW0Wg29gsrO2tlxRmaWsnKrM8g9fVfbbIkmnH4/L1MB6sk2rUoRtDG+36I1rdp8\nCXZ0RdBWmwMVnP6pqzCDwVl+AXVe4Ry8++P2ns6SzK4X5/rp87/PgG52enBnx35SP8nxt0VO7ygT\nZWhstRlEq+z1XpRhto4TIVnV7RZ1BCt0GBtx7Ob1yuk8K7VA7fvORd+O9ZylnY8BqnxhjTHVi8Vl\n805W7HhzFE4ysExV5ZvVc5yP17euvxbU1+M6P2fVh/qkTwfh0OQUrklH5nMyn7ui1eN5Xmdp19Jj\nSJNlzMWdUO/P2WllY3qapZA/P6D9QQHkBZEkgscRSbis0ArNlgQenHE/CXvqBXHAVCY+EaPYJU6M\nkoyia0pJ/N8TSIKlTCwx3g4HrhWGvrlSoDhTxlQZ5oBDyfjgcNSCL1UQRrz3OJfJOLZUQX0xxeXC\nXmFMxpWvYKFqqIVRMjkrVnIVsecKsrdqZN+1ab/qxtD7evkHX6ewoxMO456rYYUrI3uB3gtLy6zw\nLQgjsbPANhnbYiy6WnR2Exz7HFm6Qo/gukLEsbeE+o4swiGv+Lnf4Ag4FVSVrXl2Bl97zyp0NW3O\nMgtR8B3/pMblNCK+Q3MkSAW14iJWBM2ObHVkmIrHa6KUTO+qn+i4n9DOWKQNN12gZMeOqY40O89Q\njCKelDPFKfuoJEu1s9IF3ozOZ8DjnDBZIadcpRYWCTnhrdrXaU1FYTFMRBHcIbEZR7KCaWgsRMHH\nQva5yi3wuDbYCSasirK3OjJVyVhjD4sM7HNGqIEtuQi0l9oWZcw1MpxiLL2QY0LcT6OjBfiDntjG\nhUb+MV3yK/+anQUuS7VlOm/lW1NtaxPKP3M6rot997u2zjXCQ8jErNwy25XVlZnYEZgmV6VONz7y\nTXG80UDXq9SmDb7VirN2z1SZl7YdXPwz52FwldUezyQB8/bFvruNhVE7SMp3gPTc5u/nZY+/Pdvm\nUjJvonWO86zN0g6A+/GCL7znl27P1HTQ192OKVcQ3p0VD26z8bWvW3gz7Y/a6l+zPjLX22y8aK4d\n58WJwXv+du15WyPSTXx2aPeGlyPy+NerNZNO/EUHv4nCrxtI/2UoXDeA/79uCr/qHTcdJ7qvNRHh\n493I3gU2ltg79x1Xjbk9orzTCR82q8ALLXwCUDKpq2D5Nxvl/d7xx8fIhzeOq0Nl7lU7Do31fqkr\nbm37/Rv5EbbzIatS7UFHa+4D+nR6Hb4rjRD554u5vueRPTGKWsHNZFVi4SlPbOHmjx3GSJ251WKY\nzmzs9294lk3AzBbXz43b+t4mTUZy/nSegHH7cPbb2ZXj24WI5618a9nv2+b3v3WeErXTXLh45r12\nzjjLE+BbHSUAdmdyg44Ta26cAG/kdAFFqpTl0Fjn7yONz/gIZr/quh6O9riLxpJ7le94D4tU6cRS\n4WBVV32ucT6/pAP2xG1E2vax08BHpf4vNXecWcrSufZdO/Y/d6XPDwogb6hTg0vqVD3NA88l5Yuy\nYCs71n2kZIdZIWtHkYhHyVatjaJkXMkYDZxq4bE4HlPmlQ0giesSeO4ytyGzChMDPV2uhV0eEHVs\nc0FF8cUwryQrTCmQtFStVtPSmVGlC14YizFhFEuUlNGijMUh0lw1SOwUnDqMDsqISoeqr+bXrsYk\nBzUe8dz4wM4yhqNTz+dJSHnk0iuDq1P9WYyVKilUve2Q4VEiYhPie/riSdm4ChODLvhyGina4f0e\nENadIlRP4SwdnXVM6tlLwLxDVclTJBXIqfCYHd6M4pRlESxnlBrycfBGoiPEPYNana5xymgZLKBB\nyWXCdMGYBO8yWhxeMhcCfRBynjiokswxqFG6jlwiQRO5FJJkBE+OmSzC0pTEyEQFOb0pU5pwRaqE\nI6VqDTZGlt4wqfZ5p5dONZjL1reCkqlyGFJt6pIlfFHU1THsAwqlaouLC1g2lMwujzy4nnFKFPWI\nKJNkHmKVutif0738P3J7p5xedRs8/417IBbBOWVL96Qa/Ty16fgC7hOM/sgQZSeMh8oerrrx6Bm+\niwuCawVsrjA2OnOFYS4Dma9j4LYVAX6WTzBgGQcWCofSceMin+ZmoKuwJrNEeYGwbl3aypQuRD7L\nHc/N6EJEzTiUjoN4Yg7cCjyWCiRNCy4PtbywpW3e+MirFCjOuJXIXfGMKSCmLFXYSTma2w9n3c9b\nWhn5r3L3FDAfWZnMmE6DkteNpR2kMDSg+zINPG966s/LksEX3mWqRVPujLVub3w1x4MoV6UgwfhZ\nCyL5wi0IOaOu8E7O/N4NfMCBb9yCd1OTjviO9246XJxw1ELDt3KCsT85eKjgtZ3zUsNennmhzx1v\nhbqfXyXlpjHj/2rRceWr68HYBpN/KfWZmzL8vF/w6wR/uwpMGb5Ojvf6KvN6vlixltM9+dGyP957\njyhvLJQ3zfP1IZE65cOFsjHh5rIDLbzQFUtXB8BKnaH8WZ5QeToT8mNu5Qz9SJMueKpcACpoPn9m\n9QxkwcwSc3xmVZWxrbSTAu1vUdwRCLrmmQF1Kn7WnOaiR8nEuUQhWvtt034cXSkaUykIXuzIWuam\nY3UYyaQVADY5iQrFZl/ftp/YMSxjlnbMLhABmrVntYgVqfPGhs2y/acAd2a3ecroHhlSTuxtPUd1\nf5WTBjkgTwS+8xPeizAe1ycn5lSEzmAnwsoy2/aXnswkVZoymdBZYZIW3DFLUKw0ecS87bqH1pS+\nx2M6258FxthmEU5ykUKcWeYmqQE7DqjmFLzEXHRruDZ7EBtQLhjmHF2bpcucBmQQFvlKAAAgAElE\nQVRmHN+NqRUo1lCZmr4468sHqfIxb7OEFbKefLT/XO0HBZBfxkDxHkuZQYRb3RG841CU3m9w1jPm\nA8glZoUF0/GGrykugi9Uh4tmoJdLrvYiCiM15jk4z6PCpa55SFu+MeG1et60HcMwMBVYHKux89G0\n3Cuouso+T4mkHitgkiFlHjSTEwwIwQTP2OKJQbTgpJYlWRshqiqCUIrxwEhOF0RfiFHpdeJ30hNy\n1Qcti5Ik4oJjX4xoHg8syWSUhQx8mRMbBG/KK73k/3w88E4PC01sphVqE38RApb3lBIYU+QxgzXm\n2aeJySm5FHKcEF3zUhM3Epg0siZAOXArmS/yBS8YMRxXUqcjDWVJYjHAMqWTz6E5VA+ss4IKOzE0\nJiZZoFoLGDsUlViLGhOMONQLy7JlF5WHVIs2k6+xpTkbxQkiLbol19CSxzIxIRR1dNGIJVddej9A\nEKTlny7zWHXczkMqHOSRSZWcPE4zrsVrGw5CZhwXmDNcTmBGHzxWhIc80bmWulRq+mJoHYeqZyw1\nVa77CRX8bN0JOAhwL/NgcWYozl5TIrwqwtsu82pcsLiorNx9i2x+lQMfyQTDyCY67rNjiXGhidcu\n8pUFfuX23E0LokusQ6ZEPU5B9q52dJ9Z4PaMFQ0YO2Z9Itwc/1apiUjh5jh5DIHMFuHGRQLV/gkR\n3gp7HosnuMgO5RtTLs1YmTJ3vBscz7WC6YXCzoyswpJW5f2tS79s+7WjMFrgq9NsJLctBOWunIHo\n1ml95A78fV4e5R8TcMjD6bDmZjV+dQbbM7N2Dr5FhEsrjUl0jK1A7pJM9M3WycO7Fok43pDIB/2O\n/y1f8Tf6yH8olzzvHtnmgQ9KYpTArpQj+0w2bmaNtjpiCaSccGpcN0eX/2mbj5Z27yy3lBaq8lXs\n6SRy25DBfZIj0zy16eA3feaQhUkdooI1OtH8mY1ZqrHI5g2JwptDhSAbgcXs1FEKQ6iF0CrGddyR\nxfMYOq7i5omk4Mfc3LekIvMTfP7MHmeqpYLTosIuK327XtaeiRlY9lojiA0hU1PzQgObowhT0Vak\nXF2WjmBYKyiamcO5qZyBaDu7pWW2bLSzz3Ud8zpVziKctdYRzesbrLCzuo/zSgMtKrsB7zRL4TgV\nj523+ezM+t/5ttC2f+1kHtc/r2IOOpnfh+EoVvnOa+GJJVr/3V1AqSYCnqqZPhb1SZWuSFtpbHpg\naxKKoQHdjKCteH62bZv9jefzPO+pIkTTBkjPijefFDeewKinFtTNNm1WalAMZ5g7tPMr7Rp6OV3n\nOaWvXeXjm3kGqB0n/27hVBAKhqlSSk3YQzjb2395+0EB5CB1lON9aWrcNYnIyhvvK6iO3DvlkA58\nZZ5xylAmshg5O4xMijV5rpTS4hfreCamhHc1dPFeMw8FPssTb3tH3wlXRTm4NY9jAQmY7OkFshih\nBHxN+yCTKdKRmShlIltlQPe5I48dJWQmMRYlY+owtNrqlEzwwjWJlDw+7MmlJ0rGW2PM2ZKsY6WG\nWWEpEWcwOMEHZRMd00GqdgkDqVZia1FcNkQ8Kwq/y0ZOBwY6NmPhQMfoMuYW/KOD7abAIvOm79kf\n9uSpowOsC0yHSGwBKK6zGjLSZVDPKy0cuOWbeIeViXXr7MyMpDVNcF86chGcm7g0IZB4wBBZshXH\n2h+4ykpyoD6hpWMSRy+FBcYyGDlCzhM7cQy+Y8kErrAxVy3lgOwco2VSOpCLYGJsDoXilZ7mbqG1\nSNCjhE7RcSKKEVrSWcrCV0VYqeAKLFCK12ZOboyAMJGnzMp7nEZCNl4447NJcL4q0lcWCCVxrZXh\nmCQyoiwtNUohk/+UeeePsJX++w2BdPSUPh1fcse2D0ym3IY9cxzFOmRCUdbhwMeHgY+6iXVobG4u\nSHGsQ+auhT4EF+lDIZSqMdYzycoqF37uy9H+DSpjtm5T+aVwXDfZgfvu51Uux3Vuojtb/rTOtRqU\nzAWFrMIfWqHcM5eeeLDWhLd83O+n31dgfOUyyxxYynm3CJ+WpsP9HibkoXgGyhP5xnBmH/hR00d/\nEhfc+MhdG4TM7OH5+XkQ5fJ7pCHQ5CHf6mOmqlbkTZ34mp5nkrlWeIESpubacXasKyf8mur48QsO\n/NvNjvevrxAcK6t+1e9fd7yR2x1R3LHT/k/CxG/atbvLykPJlOy4cDBPok6qdOfl7xGkE+xsrt+8\nHauLzoGuYQxh9ioX7pzntmTuCVzZDi8Z+Qmxx/BdMHb6wxkw/tafUmk65RnXyolxTcXw2jSsNOaW\n09T4vPz8mxnUzG2+68+/m4NF5nZkFTnDoGefnzw5dmIxz6fZhZrUlpokcwY8drZ+gGLf3e7594bV\nqGNr4Phs+XO987fb9zkrnP97Pt7QGPxS5gF7becDiO7J+bEn506U75U5CPW5X1AdvQp1YLKZwebZ\nb4Tvhq0ItZBPTI7nft4DBZZtgHUvjlUbuC+w09zB2cF+W6aTrZKO+duTZsdx1JNR/+l4pUrOpH0b\nrbqgaPmJSyx+1mV2llmFgpeEqKfTHvHGXoWLMFDGA2tXuE+ZTUsyU3NYtWKld8KYC06NOLMEAl3w\n9WKYEUqunWEufJOrj28nwkITyTzeZa5tYCkjOOGQI5JbhrovqE1Q/PHVUJKx0Ej2hrRq3KKGmpLE\nOJQKaq3UEa3rjEdbsJKE94GSEpKVAy00wyaGILgSQGvR3pSVruugCNkSoQQQRYqy10RKdcS2cR3q\nQS3R+UAhs50Mlwt9GXnXKbYOPKTIG+XAq+Lxkvlqv8UlR86ersBqGXg1wZR3jN6RdcDyiBNP8NXm\nbHsYSd4xOGGwygTnXiAJX4qge0dEeNaBlMyyRB5ywTlP3weG4LDYUcTxiLGnY1/qtHGWSMHIRei6\njtuUWSXHIVT5yeFwYKo529Aqn2WApfMEHC4mjMjr7NlZYrB6PVwWtqVaeHk1fm6ZHsP5npQzB8mM\nltlhpOIwArpQYjRGPDv1pJRYB6nX3RmDTQRxJCt4V5mogYwHco44F+jK94PKH2ObO8nayZxG/mXI\nzON3dzhJAi59QYpSFNxYXzkO8JJIofBRmeiz0WdhdMInpeMDNxFKLXSR4ugdzMLlSTzL9hKNVr1L\n1Qovpp7n3UiYBc7z+9VBH5WPrbpYvHuOCI7rVNbR+JjAuy4fv9/ijgVOXyXHW74yMF8nxy+atAOX\nWc0BJeJQTYBwX4wVwqscuHGRZQOQNyqUIgSX2AGb1PPcj+wQbtpb5VYjd3Fx3NEvpfCBwNLcU6R7\n1k1+2fTFi/bV7VF3Xa/FiKdr1niLcp7idervP/IjH6ee2dtjZp8vMT7Oy+PWDOPTaUUvHLO4ly7y\n0Bjt98OeuxS4tMLSRf7N+goSdK7yQN+4BR/a4Wib94t84CJEsmXugFtRxCeeAc8AyFAcL0d3TF1c\nZUc04S4Kq+WJFHkjj3zj2kBDR/7dwfHhUngzte/NCC3QxER4J9br+I7m4719Hfc8ugtW6aehQ57B\nycwynv0HaJjkvFCvySyqpenpe0dpwEabblnwUu3KDo1rdGKIQThDSEFORW65SR+icfRjngv75n3q\npIZ0dFTGdAaGwokhnFnghVj1Bp738UTSHovn+vkzp+/n4rdO7ImNXG7vNplPHOClukSJVJeGEcFJ\nJURmQOfOwZ5UoGiNMX2imT878f1pqq2+Txs6T7P8DD0GlxgnTTGcwGaSKjX4NvtcHS2adKQtP4on\nn7HGx+JCKgMvpkwCanYsYkxWNeud1XfGzFxHFKcFM7gls+NkWzdLaOYB07y9rK1AtJ3a3AZhnhPL\nntvx1MjqunxGjn1NAFoSPF6a2wyQ1NFj7P6Ms7U/KIC8cD1OI4MscS6SXTW8Xg89Jh1bD6kseRwN\n+oTLjilnMCHbaazVUzCpU29i9bkXEaRkBoXRK7GUatWmVT4RY0S1R5Z7yjTwMh34crlmlQ687+By\neWCRAiIdd0zss5FL7Xj2xPpucUrOyq54EHDuAKWm7GWp1jLYQBHBO4+4RDHFVEELq0lJ3lFKreZV\nb3jfISVX67TDnuA7hKqPVQdRrAZySNV0ppRYLofWhya068hpAj8whcKvc2CajOA9n+4LQTM+w8av\n8AGe+5FXW08+KE6rI+QhZ3zX4USRcc8+Cr0mdtGz2e8oUyB1Bdc7JHgG9dx6z91mxyFHXkjPpAsO\nQ6ZPQpciXjKrTlm7xKQe6wP3ekFkQmIgW2FA6K0wkLiRzM1QGFI93k1LcFv3wj5m9qJ0OeGmSJFM\nLI5cwCzi1LgvC7QY65Dpo8OrwxPZlpHX6pgmMDpGURZZcaJ0bk8nDkvCfcmkXPV2S19jq0VHnE9c\nOwjZk8SIeTy+eJ0TYt+RopF/QhKLfqzd1Fk/BEBsyYdeWphLa944/tu3/74oA29RWIxKBO6svdaj\ncA2gyjZ3/MJPVNX503Y/1eWv/Uifja8YuDbhxfy9KVez2wbwhXYsgNsz3+PPU+D6jI39vFmybWPH\nVbcnmfIiewrGRy5xgyM02cBsiwRU9rN9/iw6TJT3/IQJvI3xtpvYqLAu8NvieUvzEXSvgZeusENY\nq7Euxm+LZxsysWRemuc9iTxDeMSxDpFVo0Ufi2OH8s5U+KI7UX1LTlpLMG5c4o82cHtWC/5K9CiB\nWIYDu7jglSn/EDve9pXV/SIv6Jm4dZlXKXDrE69SwNQYi+eFwLWcCvYey+LI7v0hLVlQeBRFyoJt\nqJKOLY439cCvqGB6LgIEuLDCb8qS5cwMx+7J/fWOTtiQucqO1wIbrb74zzSzjYHnGtm1d/2bZWpa\nePiv+4wmMPG8WaZKqKhvZ8lRpIKqyzGRneCaXn0l+yfuDz/mpvWRPU5dz60cp9qftu9LtFtQNd20\noru5SCyjRy/eqlHV07Nx3tqGq+bU6OGJ7EGRJwzgVfvXjqcs9zmzGOb3Cs11gUZCWZV5ODhCL3ly\nnGcaZ6v2bBnDW7VkgwoSRapEotAs0dpvL4BJKtDMqtWmjUpSdVb3OcmJhZ1BKlY1uQeT5nIxn8OT\n2EGo2uHOqof+vNdmp+FwIBPVUZpEZL5PzZqGvNnYzQM+adtY8q139plDSAXzVSKTRZsXtbSBRWWg\nESE+mbhROjFGO70Pz7u6iVpTtqcCW9cuglkNIHFOwPLJys5OacWlvfdLOweeUxKkb+vet3vjOKtg\n0J05AP1L2w8KIL/UHul6SlYuO8eqc4h4shd06FDATXs2JTJGIeUJrOBLHf2oFTorHJyvYnE599rL\nDCZ0MnGJsDfHiFFKTW/zzpOZiAelWMQFj8REcY7PR+FjuWBhwkIyUnoGz1HjmOkgeyiJIjXxz5tg\n1uNcYVAhZ2GSjkEnnK/WZtmMNE3ECcS1AbztcRoYegVzeAphcOQpo9KRkyGSyCUhnSdkB9LReUeM\nkRAClqxWrjuwJOA80nlMlTGNdMFzaE4RRUL1FARSFF74NYvrjoVAjBM2xhowkg+VESUjErjf12rk\nogHrDYpnPCSC9Xy92/J1UFZlxWSZfRAsJ+JOCaJM4kgSiNH4Jgq9ZsI+M4qxZcet9OxQtjIgKmg3\n8GWKSDE6iVy4QOmMYaqe1L1TSqzpf5nCVIyoEVOPWEexAyuh+rJOtcggxgNOK4NxmYWgkckrezMG\n51HJTKNnLwUrjpUadI6VQCmJjQWSDmAZVyJXLtKpozjYEJBS47e32dh4QbufzpTtVakvoHs9ldiY\nCm3WugHnE7Kw8+n7s+/vmwfx15J4t2tsrAmvcg+p520daZviD3JS5b1nI11b/n6qy3UhMY0nwNt1\niXMlyFv++2325vWYnMkaGjXTu8wv2nL/YJ73u+qSAhWA+zOo8aJJI26AL6XwsgR+KfEYZBDaZIec\ndSRz6yms1Z4uU5S1GptcuNCqbQf4fQ4Mza3iI39ACbghsqZj007zhZ5zcUZQ49PYP5F73OQTw1+L\nISM3OfBGmZjjXEyozL8UHlWx7Lj1kZfm+ZmWmnpqykcNUH97DPhJXDQJiDBQ+PnRkq+elM/N8a6c\nAPJvygIT+FmYuG+6kGsp/NrqYPge4ZqaHnqtjsd2bm8EfGPGn1s89paVFDntlJFR8Q0kGk6bLaYl\nLnJl+nyp7xwzY+fXrOwUbvNjbvI9n2sqW/08OwXM7dyV4pR+dkpsUzv9oDDbbkmdzWmLn7vZxDOG\ntzsygka2E+D9thxhDg05tyAsZ5rW8+fP2v/VKftKet1S2ErNGYDvukjMbGxqxW+I8SB61CBL+82f\nkknMwGxeBhohJ0/BeDAa0K0zMnK2ziPklqfrnuUn54V+esZWR6nWs3pmnVbPSfUFVioYHZsW2Lc6\nrPm6nkdTf/u41Fpy4ryPIvV68/SegSoN8UDSE6NtnJjkPdLCXeRYGAk8cb7wZzeeEzkeY40CqtKW\n0/Wt+vLcBgHn16DKR2bq5s/TflAA+Z3nK9YqJBw+wNIN9F54SBOjGvtDwshclS25CHsHr5Ija1NA\nOUeJypVOTOa5i1L1ZNoRUmbwMKjjUGDQwkI9o6uJdZ16FmnDz9TxYIVnZL5MmfvsiLnDSi0M2qqg\n5rFYTdSRSC8BlRFVRXXEFY9aQtUhaC3YESVqwbcCp13cs7TMOk9oEF7pgEimCx3BezQWcokccmZM\nNUa6aEG0ittXg6OIa1HO1dJKJCBpwoUecqyBG6p4KeR9RgdhUMAKvRNyMEo2NHumnAh+wnaOUTKT\nq0xL9pl+PDC6jqKFdTfwEA90boH5BKVjjBtC5+nGwH7cAg5VxxiEaWtQaqocvmdjBslRbIRYKKHH\niCyjMfpCSpmdTgQpmI4sPHT7SMIzOBBVohRczuybEbmq4rxAyajrWIwHhgJKRmxLzIWRA7nZXZnX\nOmgQRUqkD8rCevqccEmZQq4pei5x45TR6pRhDkomg+sI2WHmEEZGltzpnrtkqAv0aqxdBowgnq36\n/8+8+x9Tu9dAMqXXyFUbgb6iw9pUu2vuAatS0LOgjMdpDd3IBZELSVjpERHeW0wsU+aRALHjve4R\nAryc1lzonm0HF4fTq8rJHmuFgaFPfJxXXE0VYEoYmSaPCdw360TxmUUDy12CVy117XkorBsC33Yw\n7nqCOOhGdlOd+tdFtQB7L9fOad+2u3WOrn2eJs9rl3meHVvneHuWLwfYiOMmZrax45UWPvCR3585\nUgC85xOfZf9kGjY2IP2ez0x4XqR6/AvsKO2YCKyzkQgEBzetp5wIx0p/gGsm3gtPBwi9xrMEq1bQ\n6BKvnXCrkc9Kzy/DFjAei6+DB/EcimcF7MjcNDTwRVlB++5J0wqa1pq4K56P8wBmRw3133RbPp0G\n3gsjQuExaROHVmD8mQS8KX+pFUQLpRZjq0MR3m+zAbbcIY05M4AGcMNhQdHmzlAMbdadlcXTY0WQ\nikek8LpT1lOqgQ1qrGMN8f0ptNLUwkFOARYTUgubqJruwawycnIqlgvU5/nQ9KuuAV1PZUkHM0SM\ng1Rgsmjr7bDj1D1UAsudCFiW1JCPVkuPWQuPOEoy7BhaYcgTMHsMFQKmUoOzKgCsfxiaBGlsC87H\nMrTjgNM0/0i1MKvFZTXK2UFz+aigLnHSWs8tyuw9zEmH3cBxpALHGZAXOclC5mMMzED5BN7tfEBB\n03B/e7tnLLNrLwyxKkvoG8sb2vElk6PXdW5MsjboPodu2Pd0TCJU6ZTVQUQ9rnkwZK2QUcCqfWz1\nza7O4n0D1XNBXd/8lldt3+YhupNC13TNxilMJDHrsWlR77Pm++SPbHCMRB8aBnBSvbRN7cmg4l/a\nflAA+d3rNT7AVIQpFqx3REv0ZMbs2Wz2vH48MCRHzsJIPl5gh+BjYVdSfRnqHjPBtKtV3b0yiGcn\nQqcHRBQvns1hwoWBog6TW/4ff6AgvCojSQPBFUJMuKDHooBdMByu5s+HjoUFvKUW0gHqehwBFvXB\njqL4DKaJKcYaInIYeXQF00QZl0yW8GpIHPFmDOJRSg0RoWoWc8wVhHsjWE0BdM6xtIleUvXelQ72\nibzumcZCtshVAceB/d7Te+MxH+h8IKivThydcb0zLp3j1uCz3Uv2qyXOKe9Zx8c4+sOGt/sBP93z\nbzrh3yfhDe34u+1LhuLIuwcuvbLztfOPMVL2Gzo6NApbyYTdSLRUCx8kkiXg9iPqCneupdmpcumM\n9VAoWdgWTwodIe0ZUJ6lxEoO7MqKrRUGr1hJtYq1eNa2wXkjFeU1EZEOE1+z6L0SUMwruRy4MAEV\n+lBHuL5FnJtTkjisKL0Wkg7c5QMLPHvvmXJh7zuSZZwteSGOnJUHcbW7SYW1ZC6C8I06cpqOHpc/\nhea0AiovjvuudrDbw4Ib2fO196zLhGomS3WN2c1AdVKexcpuPpbhmLaUt0visGEgEZeF1Aq0FmHH\nzs8V2TCEDS9twcYWiAkfxD2f+IEPbccdC3Sx4zLB46oWjtphxcYlLshsxaEus8tL1O0o+yVDt6XP\nxt1CuR6FO3FIGBGXKd3IRc58Nq24ysa9wo0JMlRN6q2v6wDYeeG9bgQSYb9El2P1+J6WvHYC4UCQ\nxPOpZ5cCz5v041XuufYjd6njAzeyU8cmeZ7ryF7csTNZWOYXLcXudex5HStbfRVG7hpzfcvp81UY\n+Sx5fimJ3xIIvgKdz5PnXV/BdTSqrpsKxt8i8nHqecuP3JWOu1K7hpkJCu5Ex+8QrjAqZ3PqjgJC\nbMz0oCN3xR8dO2Ym17TOKIgpr0ogoXwSFzxzkWiCSeGVdVzLxLskPhfPhQivcXzIyNxb5galbDm2\nUnjBxkVljfs68ZqHAzZWgCurAxTDHRbk5eE09Wxws6mkRVHh8braB3ZjoWvr+yk0pxVMFKrVFlQW\nN0vNFAxtnmctxtbkeN1HlNRATxYlNBZwj7Jq9m5qdtQXJ4TBgCaXEIF+1vRKlfZcW6lAdQbFIvRy\nCoOolEm9Z6UBb2vr9gJ7azIiqdKC2Z3MmRFF8AYHkbpdPYHMfMYEL7Amgajeyx0VoGWRIxvupW7D\nwzF2fLD6O7M2wGjAbkLozijq84K5p8y1HPX9h7PP9UmqAH6BnZh6TrppM+ga+K9gsu53liopqZJv\nO6YUnt+6Xox05lxxYq5PvK61FQszcG37Lyfw70Sbu46RmrTErDpyxVKOCYYqlW3etznDsc0iWWP5\np+bd3Letx3mfORvQaH1P1XuWo44+UeUwtO9nGz5Hqcz6n/GR/UEB5MOw5JvsKRSCjqTDxMNmx9ev\nX7McM0GUEDKPaWJRFgQvLEQopTBIoaPwTgCh55GBWzfVpBUU7xXf9ViGx1QDIigTvWRy3DOJ8FqF\nfiqYcxjCUBJrBb9IbJNnGRLOOS4FphjRPuAsozbRe0c2xyJNvHA79inRHzq2akwp41V5O0eeDZnr\nsODvUya6nsPoMSJr5/He48V4poXnIbKhY6uObRG8U1LJeBTLmbUWvCu1IM0OfOYuWiGd0bsd78SJ\nt/LEF93Aq4PxN/3AN/bIQM8rFf4YM8tpIsfCGAJ/VUa2suI3aaIrhVAyU9xz6C7464XyQgc+V1C9\n5Mux8EAijzv++9vI71Lgk13itSU+yMbn46bqyXxgKhPilUV2lObYYSJkdVhM1U86g0sT2VUbtpfR\nk/eRvxgiy74jR2PpD1yr4+AVXwpvuh0xJx5zoDgh4hncgd4JTgvbJGRZgO/oRUkoQ441ta8YS+2q\nNZFUX07JhaveMXbVSeU+bbnzC8YpkplYmGIuc4nQOaArfDIaSRI3JHxnOElMMtCb4+fOcEx8aJHH\nLnAX/4xP7X/k1kdhO2QoNS0RYOcLz7IwmeOgnptUSFLokic2TVgftmzm+jmbAGObHavkWcXGzJ6x\nkC9twW1zOejDlj4J+D2dCEMpfL7s+YvDxH0oCBPrAo9B+JwL3pVH+rBhawsuExw00RXhoRUfLboK\ndF/KBduUoT+wSwUIrMl84ZY4v8FPiUV3YGcLNmZczoUiuTCGkUESEtd0be7ypc9ciqAuYyJ4SVjs\nccs9D42tTmXgKtux51z7RB/hEDKpDOya1dvMKL8oPe/ZSU89y0JcOX3e4I75zDt1/LUk/oPz/Oc5\nHlW+T2QhZ71IEJDsmiTBcaGJvjjWake983nT827DFSzWA7nQBJp4LJ41NfQkuEihekQD3BXfiger\nvvompDp9axx9pCEfgel1Ma4k88o8CnzVBprPpIBUiRXT8kmwRDk0t+mzYzQzbOrJyz2unP3NjKlJ\nVhZTLSJ1zlVdJEo5L7H/Ebd5Kho7gcQea4XhtfAutmlvLzNEqkBnTi1zrdgslQpqx3YD92f1Br3Z\nMQRE5eTSMEsQnlnhXh0rK3RKc3iqzgoHKjssDQT1Wn+XSmU+j8CJNtVvNYUOaVpXoToPNQbcNXB8\nnuYXSwNonKROweoyReyJpMKdMdcGR1DP2TIiFWzP53RmwCsxNt9jp8dN5fRcLzjJEnoxdiI8t8K9\n6JFtf+L8cTbFdC7jmLd9/Pf3dDXCSUMtWC1wP65HWrKikbMcQ0LK2TMyFw96qzMDx1rE+abiJMUR\nq9JFwYgmdaaJNij3QipWbduMWicGx9hvETnKQMxgpUYudTBxPC47FTMWoFjGN/lIlO+GlvxL2g8K\nIN/nQNm+5OsX98Q4st9lLgEtI5qFBwnstdCVwCOJUGAlib16Dll4EMerBKjRm+CT4sTILpNShwSj\nX3iGx4JqJFFYO+OVVem6inFhkNOEeOid42CZhXbchJFRBhIwdI61CaHs6J3nSiOXXnEKN8NI8j1T\nSrwRMg9RWJpRTHDO8ZtxT8G4WV7wZVb6TlDfsXCOMCgrvyD6wOf7HajD5cxaMmNOrEPHpSWCh5SM\n97rM/3W35WdaEBkZfSKMkf+sK1x74Y8W+SAn3rsa+MfHxF/0K36bauHCX7vCwZRvenDJ+HUZarxy\ngS4s2U8TF7rgxQS/i7UeNibFWeSgExo9n4rjf9gHijcKPYMbSGWqcaE+4JasrNUAACAASURBVL3g\ndnveSBFz8GY/8Ok+8pgTl6a8NGGiglOXC2HKZIS3+8DEhBMh7SdyCHw5DWyd8kGf6PzAtWyQTshl\nZJsL9zZwx5p9TqTsm55TUUsE85jU8x8djOrIKpgEhMQqZlIQ7kvHVgOlTCRzZFV2ztO3acUacC1M\nIric+cvguPCFko37LtCb8OXYc9NnLtNEcJ7JMpdl4r0u/nO3/o+qmThEjE4jlmux6c/clq4Ubq2w\norKxAwXXR6J4Qi5MLjOI8Q0DFw3wDQrBOXZNirE46xFWKbFxHYNFNhK4lcij67hkxLLyZorcB2Nh\nQieJOxe4zZG/4oE7F+iYWGniNZ7ohIs0MXQ7NnQ0Mw2esWVrA5MEbnXP79wVq5x4wx8ILaLpY39F\nEfh52jG2V+Zjcaw0cSAQFxPb5jgxv8RFhK7bVLecDh5jzzO3Z1Lh1eTRxY7rXFltOHWUt+Gpa8Ln\nXPBOzFiABw89I2W/ZOsz0uWTjZnPxw7/ImfuWPJWyvyDCjfxpMvGKuDel/KkQNGHkV8QuYs9r0rm\nQ5+IIkztePtsjA2hPBGIFHecpp/7pQtNWHHchsPxXF25RD4ElsPIXazM+7WbUDOufOSracVCR27D\nxC9k5HdlOG7insL7HPg1A7+QOmAqpT7f97sLrjU/TWtsO/LYju9SC7ZfwLBH90tKv6uA2Qwvwv6q\n3ov9vnb8kUKIHWN/oJu+z5H2x9cquLWm4ayyk6oDbomyzugLjDNj20Dd0CQBnspwmoC6ynzOg63M\nqbLANb3q7E7hZY4MrrKBLMLKSvVGpgKupFIZ2CbxcFqL4MyMvQlezgrqoNbMFBikAuzeDKeCa8Vo\nGKzNCBijKs5OEojLdg8b9kRnDRxBeDaha8eXpfrue2a2+/SMz3OChzN9dWgyk0eZbeXqiCQ1KUfk\nJJMIcmJyo1Snja0pvdmx6HHGn9Xi7WmB4swHD0CeGXXseK6exmyft1P4yAno1u/1SGAYJtJY6xMj\nbkepDUgBbbMINQjm5B5kVogiXMmpAqWguFLZbpGTzGPe17rQyXlMgH05pRDONY1yNshAQMWB1Wu6\nbiEpf672gwLI5ZNfsx03pENPp2NlB7TqlUanJBX6rKhTUh4hw6vUIxrZiSHZWJix6AMlTYgo/6nf\n8oolxp7DwbhR4xfLxAMLJFV7qO6wYS+OrSo3Iiz7astWTEjiuJHCWyvPm1I4jBM777lq4RAbnUhT\n4FMKr7NyzTPudwc67XmrCFI8GzEeykRQxzPf82Uu4AeeD8IVEZv2RDpucmQtxrt6wLs190T2Tlgt\nAppHFvkezcoXLEhuiz9c8V9dJ/5ua2yBm8PIyMjfx45NEpbZ8a+C5/+YFMaRl8VhY2Spwh/Fk4Iy\nFCUXyEOPlUjXrdgthX5a85gh50xOmZgivzq8wq6e8WoUtnogj4Viys/2L7nzHVcCH/YRug7yF7w7\n9Pgu8Ek0DhneS4XF1ZLfx8TLLawsciORt+Saj8MjC4HVGNmMMDnH3z3WQsBLr/R6YK+R+/1AdJ7n\nvuPSe1b9gCsjaw/kB/basy2OzWFi7y/I4cBQjMHviC5Qkmexz3ztE2/nSLeATQlsgxJiJmthEQxH\nxtMhQTB6XlALHx8Q0JaMqMIuJdbWcXFQ/hAKnTdemvAHXXBZAiIHTIy39acjscj9yCXCiGeB8hVL\nLmykSx2jc0wivF0iU3a8aoWpMUCaOqJmnqeEieOPfQUfb48jQ3Y1ObkRyCLCtSX2KVTP7CLsFAaL\nlNzzVa+8O02MeFKb/h+suhjMn7ctya2TiVw6HkLHs1S9rAEuLbF1cNn06SOBN9izLZ5VSowEur7w\npu0JyXCauEywdRUkfNK/xa+mT9nkC57plkffEVM4gujRwTpPdAif+4HQBgFBM3+USz6Q19ylBc9k\nzx9ZcFv2RKcVFO8zV37Ldd7wWeiRtIIEfbfhd0vPB3lLFOXRPOvskbDjC7fkXR7ZeYE00jdd9EWu\ng7NHcezisroTKwSfuMgZX2qYx03MhD6xTL7aEqod9Z6jO0WIf2U9fbtO1348A6cOISHFMbpW+ES1\niMs58DgIK+A27OgpjOjRhSC4yEILj8XzW6tuGGpVolMUfp8WiBjjMtFvO8aLQ516BX7/eMVH7HnZ\nun0T4ZZEMqWocFeUxcWeRRZcf6Cotkp/pewDg1Xbx8pe1p3eXNb+x40/jZmfjoJovUK5ecZWYFMD\nJ8Qq8EylyiyKNHmgQSc1ltidTf0f4DgVP58hlRpZ3c8pdnIK0lCpTO3YJAvHsypyisEW4fIMdHup\nALoC0PqLPRUPoHXbc7xwaVWGs4Y4AaUFZuylujcEqQEbuYVlZKnHUx0jTix4lFn3qixa+MTUtjs2\nID5KJb5yA5Gzt3ChBtEsrTLipTHVy/Ybter+MVJT9Xox9lRWPJvhm2Rkri2dtdUFoStV7x3bNmff\n6LlQLkqVKsygznMC2ktO+u6JpyC/tIGF4wTeZw/rmj5YAfHUlpl7supxrU0/zlF0FYH/l7s3a5Ik\nya70vnt1MTNfYsm1li40ADYAgpgeISjDF/KP8JX/kj+AQopAhqRwICAEaCzd6O6qrMzKzFjc3RZd\nLh/U3CMLMuTLlAiq2x4qoyLczc3UzE2PnnvuOb3qCqrbmFeDTlevehEywoTRnRuiV31yGxOYrVnF\nVaurFOVsK0qz9fuEUT6Ddz2HwfyA248KIL816NwGFwqlOoIVgsFOlAcxpC5kH5qfsHNsOdG5TEkR\nIaMaGKTwhcs86wtaDHM9j2uWYcCYR+Vj7CiaSeKajjT04At/GXrmcmRMnkjC9xs8lc+1MagTCTpj\nUysf6Qg+E2pz8JPskKqkaOw2Wx5s4TfaoTXRU+ldICX4Lgb2IbO277GlsOyU/0qPiHf0Xphmj9eR\n171wOIDlxCieN7bjzjK/PMFX3TV/NSb8Eqkoz5bKF35EXORtVsZUOfqO/80r6ZQQF1iWjBfHsRSc\nFKKB1Rkw0tR0yZMd+EOueRgLiy14EfbOkbXwq+0NPsFf9MLfH4xrZlKIHOOGKzLPXOCfc6aY8Sfs\n+OWjcpcyr/tARPjrbKT7E73Bl/OIeTAd+I4PvHIBVxK30fHfbT3/eBw51ibe93bkj034l7zlN2Xh\n61r5pXh8qPyH+MDOO44pcR0qV5rwzhh95UOaeDPvOdpE6nekshC7gnSRTYV3QdmVwkGgy8Y+eq7i\nTBXl0Ta8R3m0gbfVmLMxYkTxZGB2hSgdLkZGmjRgqF3zrTZlYl5DqzvUKcfu98QvigZeRYR+jX4O\nxdhr4BDzyhIIswqTLziMviqjtmhxlwODFv4hBjaWWMxR1PMmtDj1z6fj5UH+dddxmwxfAiVmnq8S\ngvcu8eUiDNV48JlSPW6VJTz4Bor/cJn5VVwnhzmwaLP/6eEiYTgCftXMXh6Exej9RFk1uK4055vJ\nBSieB2mTZFHhOk2XsYgmuCI4E9wnNb4Psee+dFyVhRcrUH1Q42GFBTEUHoncEwlSuEoLL/wIsZWV\nsxrRFc68cvnEzcPM6GLlKh+ZiyFO1nKpkYLyXd3wE3/guM5oTip1lfp8ZTMf16nuvoe71EOYOKzN\ngFnhLne8WmOwcXYBxV/JzF1s771bOl5Le40J/D19s9hjIa5BJUmMYG1iM5Rflsgfr1NxWY9hr5lv\na+DWGXOBZyuTVLMgeK5DQsTojpGlfn8SlCFjY+Vm/YqN2wU5djy3wi+l4yudmQFbemrXjlXnHutn\nRAQVbTaawCztfohjak3WvycaZJFP3RZWlwMFqUa/ArYOI8qn5Xu5lM2DtiqCSgsQuWrICqfCyFMF\nZKAxj0oDUme3hLjqg9Oq8f0UWJ8Zz1lbEi48+ed6bRrTs4pjc/7bJ9sZTD/palfLuJUGH2j65PMY\nnLXRZ0lCG5enne4wcm0NgYf194NwsYBQaefpaADycWVVt9KA7Vk91V/A3xOIq+sYn6UWYmd7O2O/\nMrXz9yQuT54MSZ4kH53YZf/nsRdpDiHnRa3aU0Nj+oTlj/bkb+5Z/Y9plm1rgDC18uSDTUvjk0+7\nIzl/RrsHltXP2NG8jc/XSGmLpk8DZ867+DS98XxvzjzZ00GTzZwXrV6FUtuxnnXR8FTRKuu41h8Q\nJP+oALISmO2IcxETo6RCEuNehI132DIzs6CrjjTqwMYqyRtBPbUWXojSR+HBKikECAOexqg8c57n\n+0oxoycwl8wsPR+WSqrKN1b4+X7H1sFdhjHAZjbUeeaSeN1HGEcey4krJm51YNGmwYoZLHtyOpKK\nI+DYaHuoL6p0KRE93KaMeEcePLlMRBP+wBV26jkk4cYcY515c3J8PSnVCV4CvzkpH+eZF5sN4hK/\nTXAdOlJK5Krc9K2ZLIjRM3NtPV9TsamFhHgpiGtd3F51fUgUui5SihBdoVRDNfLb4yPmlUF7NC+o\nF7QGNgqDJe7zxH+9Tbx28C9zYkyVZzUx18L/NBjmZ96mwsZVXoTMr+YtH2bjC2+kfuYGJbhmi3ea\nRxTP+1x545p4/zfTiSCVPihWHbjA3xTjgxnBCV9aYsR4TMZfF+N5qFw75bulUGviVewwIpN4NjEx\nOOUhzcylULMRpNnOXUePSuUn2sqqHyXyq7FQLPDReaQIQ3qg6I6TVaQaWRPiPd7HNbqzPRQ7WihL\ntYKYoeoJq0RGa+JV+v1hkKUEghkHX1jMIbXpEbta6KmccNzhoUJEMWZuVreLpM2APqqnm42XtvA+\nDrxMiVwrDxqZfeZVaa+5siPfDM0l4V4Thy7wxTzxTf9Ugv98OnIyz33X8Wqeues6HsS4TcbkM8dh\nwK9a5pN4Rn8NgOpELiN99rzpt+ytIfBMhy8jt8k4VSE7WJzS28yj74jqKTWzs8ShXrENJz6Uq7ZP\nqdS19WaKiS/nmS+ZeS87PsrucsxXtfBBdojLbJbCFzS3jKPsWaoReAKwvSWCnsdPeFUnIsJcPb0m\nHsTTkfjT8nDZ/yLwUia2xVjOk6rBHA/8s16hIvQlc4zCrOEi7bj2lZgrj8uWIGC+TXi/tQ23675f\n1gO2yiSCwPnW9hVeBmNfFmJp8+HH4NhQmKxNW10W/tDlyyT2y+r5YxIxK19RcGZ0rrTIeREenacA\nu2qwnVhOA6dg3Jctnx8rIsKVN05XTdc8HJT9yVO0ICr8GY8MLnE3dqgY10vhYxq4jSPjHOh1hBQB\nZXbQ2SV6j5gN3JP2+3d589JYSLVCFG1suTTgMq2s4zn2V+Ts3tA2ZQVS2sI8smtANauQVqbYYSRt\n2tmRFVCusoLAmcVda+TKky8uXHzOA80u0lvzCj7jqQgtK4AW0oE1DfTmzKCueMhWiYbR3tzJKuPA\ncK6BqzbvaWPURS/P8LOKOFjzJEfbeW0+AVu2MtSBFphxXqdtRdYmvlbxOAPuM+ZOZgRtYzusoLC5\nfcCiZwmBtHCQC3huby7SbOLiykDLKpXZCRxWXt1Js7VT4yJartB8x1fZw4mnxkuRJ1Bp1t5/ZqWf\nxhsWa013KjCZXs5noDJaW2GYSBsXqRdZzmY9BifNSWTjmo7cmbCsmmM1Y7fKT0wg0wB/WO8xr0Zo\nJs9NCy6tKtDizldJxlph+CSb5XuBMT/E9qMCyM874254BkDOC1USlMrrcGSZM6M3tjVwK4U/3lSm\naaIPgbvYLK13ofBbS/SlZxt6Sj7x3jq2UnkVO46Wm5XQEFnU4XJGvfJVrxQnnMzz9maL5Jn+5Djk\nN1yHjpOB1Y7/877wUHYsVrBcGAT+dE4t9rpO/Hxn7OXIi5i5O3p0I9QEVTxFlY3PmA70GHfpWxa3\n4252HJaRN67nfhZk51nyjpuucBV63olHqifIkc22JxdH9Mr2cECDIr3ifYBkLHUk1cCdRarU1Yi8\nkrwjhoqUSKSQXSH6nqiBpRacL/Szx/WJ6jqmWNjahszEczN2dSb4zKsY2xdUHYd6Yn6c+R+HgkXY\nDUo3FO58h36cmKvnfzkOLMWzt4r3lYKjzxseS0bJBO154ZXTNDK4Du9mUlE2ThDXtFwlFGL2fCfK\nrUKtwlEjjsxeAtkLBxxaJ/Zh4JnvONTMs145zQunFDimyk98RLoKmw6xTNYrPiosXuidkiRxVQZ+\ntt/iRPm1JV7Oxt8Hz+144mYKnLwRZWYehZHQSmGrT9HBK1WNvt8QNh6XC8laA1Mtia/n349mH4BA\ne9rviiOTgYXZAj2tuclL5UqM977ZK2YidxvPs1NmVzInH/himfkuBN7aFbt04uA3vF4OnMQTim9w\n0Rnv40CslUW1adud8dZvuVkm7gaPWzzv48D7MPA8jYwh4IvjcQdhcjhJuFopbKHCGDIaGljenjKT\n3zF5eF4mNtn4T/0zfpJnVCqdjLzrI74UtpaY47ZN4oCTHV/aA7/prghWMB8IZeHOR27qwp1GqJHv\nhvaI3c4LB+l5cJ7n3LE9D6aB08pv5IbP9YFStE1evvLRbgDo9Mgfzg2ovSk7BptZCJw65culAUMz\n4b02VnoOwu3SQPQHFy6SkihN1vBFHdlifHCRV6mlVp63g4chKxs3NcAhBg5e+PHi2vFh45A0Y6nZ\n9D2uCX4Azo9QaMSBVW4E7vKGW3fC5UoJgmphSE3m8Jd6amyRg6KVkj3VFUqOYHClCaktdEGOrdA6\nFBhGo15PyGNHX5XtaZ3KFE7i2FChFmZxLOZXFkr4yJY+JKYS6NzCaJE+LmgFq6FVRmRhJF6CIn4f\nNjv3UYhrQoAVhJWzTELs4jxQVnDbWWVc2dGOBtA6MzqBxVra3bRKDlh1wsoqgYALSyzAVhrgdmcQ\nZa3sf1rBsUqTGbQZq425U1hweKuc28IWmoTD0eQERZRQK4s0uU5egeBZ3dtsx877aylxg7XfubVM\nL7QmvWbbqg240UBbQdgY5HXMzptYA95NS60r6KyX1EGrldP6cxBZWdgGDOf1nlJYHSHaro/r8fhP\n7rsFJUptMhXa30yVwwougRZGBhdHjzN7n/TJk/oGY7anSsLTiTQAmmC1Smvn5FY9w9kfW9ZrXKw1\n253dNNr01yznzs2ZjspEsw1kBd5upeyj1bWJ8mmBARC1yTCq1ZZ6aA3s6nrPFFoYybDqtve0BtN6\nvsek3YdG/UG/sz8qgGzdhhsRSiloghIzlMpOHI++8MoCmYVU4U3xDD7Si+NaE9+K5xGhaEdBmKNH\n44bntdD5jslnVAacZXoXsFyQ4JAQyU6wlPG1Eu8PXJXE+3rktWveuJ6Ot2Viq8bGB4p4HicoyfG3\ncaAuM5/Hnn9Jhftpzx9tC50Yn0lhicJeM6kakwTeFMegkNzADYWf7j13Zcsyw2c3gcMsDD5hFqjT\nxKsoxJiJ0vGhVh7KRJVAtzce6EhOSaVSKOx9hJrY0HRB+9oaD6tzeJ+py0QXhJ1vRjpqhZyMZ5JY\n+oC6RLdZmErHhpGSZq5vIl4L02niikR0C3eHkedB2O+3jDXzd8uGf/kucBSHtxn0hh6j9/Aotlrc\nwVIqkoyEJzrPNcYpZzbaUTyk4rntmrWamedKIFnFbxO3pee+ZIp4cp75pnrmXHDi6Kzy2nk6NaKv\nqCnzPNN1G/a54nzP261wVT1qxqbrCFYp2sBeFqXvPMccWErmm2Uiz5l/cplhgVoXDqHizXMoSnIB\nKZkshgTPFuWnkniTI8fjgdNRiOK4dsaYMqNz5IsJ6O/+9nXXGNIvx5HFt0eImLaQFu1ag4c1Jh4K\n25LhBAfvCFQOrud9V+inplwbdYdae8idZPPJJy3rPsCVxvzUdXI8yYaqiYjwcllYgmCrzZnTmRfH\nxHeu7atYQE3Y2Myp9tQ1VOJx0zMSeC8dz+rE3/me/+HwLScf2JL5u81zzIzrVSrgCuzyaT22zN8P\n1/zZ8Y5f7K4ZEiQX2Qgs0WEmbCvEtXR/3HhuTjPHEMn1+966r5YjniOp6zh27XzVBm6WxmiLJL5d\nPaTuLTKkBpZvk/Gub+f4ajzhVgu3ny6Vd8Fxyp5dtotG+z1XDDxczuUMnI+Oi6RkXzI5tN9tizEt\nO/rQwjLO/y4od7XH+8wLnZjSEzMeSsWp8ODBF0WL8BUPHNapxhfDxDUWUiZcdqTVP/sej4uGWeR6\ndT75IB0vJAFPqWDQbKXqY9f+RS6T4vnvZkYRQ8xd/GJPFltznjMGzXy0DQPtX8mGOLiVERFhUxTk\nh51s/y23YR2XReXycxJlI6vmldagdi5nZwBpNl5oA3Ku4Ufqqg89Z799b4zMvieBOJOaxhMzLdJk\nBONaloc1olmfAinOTVrC98vzgzS5hJPGuHYYd06J1srzr1YrsfzJQVz8lKUFzTyqcmWZZE9+yE3v\nvOpz1/e1UIwWnf2vk1DPCXNeYLseXEIu8jAvsF9BfdM9r8egcllAPJxBOa3Rb28tOMX0ycmhl08k\nFJ+M9eZpSEjatPi1NpC81E+bhZ8uxNltY1m10OdNVvbZYxfP5uK4dPA1lvrciFdwqpTzQZXW+Fl4\n+p3DrRIZu1izsV7HWtcGv0/O5dPvbG/GWKFzZ7C9SkOs6VH8Kg/xBhs1ltrs5lSe2ON/LcH5L9l+\nVAD51huuZHad0vuC1sCUE2VWOs104piLI5iAixTxfLAWFHGrcGOFzRB4zIWdr6jCnB0ihVIq0T0w\n1GbFteSFJcPLDM+avJA7Ux5y5jQKt7qwpNzsk8hQjE6h2MK4bLhygg9cypSlejpVPtvD1zlizvP3\np0IXepCRvXRoKHhtpShfOx4pmFT20bMPE14N13t6Z5RcqX5HLTOWEyozr65nnHMcj553cxO437qJ\nzikT8PiwkGKgt0qolefe2grUjgxkYqy42DGlRHGGI3M7ZE70fJwF5ybkWPnz/SODZm6vEvhITQdk\nf8XfPF7zOC0cZMfd5DiVwE3MFAp/EIVjrnydArVOvA+OPhk731PcTDGPOocXxdWFqI5UC/d+Q/bG\niUIInmMWdi5zHSqjNRcICuyCkn2L0L6KM12GnGDSQhIhE7hLhY04isLgN0y1krynagtSGX1gWWa+\ny+04askEqySgZqMrM3uZeK2ZTTzyTD3/mJV/4ooPyVBZkLzgeaDWvlnsjQlXhbtsmGSeq3GoFecc\ndyrsnbLVhB1/f1wsYvH8bb/h9TLTs9o9CfhqfNCBHSOG8KKc+Oi2dBw5+uZd/NF1bMrCs2MCmob3\nvW4R4E3Y4lbuZ6gLLJHbcuSD24IJH4aeblqffmorwIa3Ycfr8YivM2/9HrPIJKCm/CLe8LN5ZOce\n+b/71/xsPtKNgXdReNCBn40n3g+wkcxPOfDb655uDJyAm7nwD93A+9jxs3mkSuW3wxXvpeMrjjyb\nM+/Cjpu5MMVz+VL4F9vy384feHSRQsCtCj9E+HI6cHDfT1X8Nq7yjKr8JDepw8HFSzfMtkTG1ezz\npiYOQ3u/ADdL4mMMHDWQXGA3J77pA59PRx4EjkPElgbIBx7wFsmy8NY1sHyygC/wuGrky9xxyxEx\nYygV749gQijGUJuneyjG3DXwPo079vFIyMrJNXdSV5WuFECozngnylVuAOUdW57nBrQnOj70wu2s\nVGd0xmr5WPkN1zxnZFMrI46jD3TJ2LjUHBistgTT2hIPD95DMpzCZqkQBI9SWv2cWpWOdHGvmJ3y\nXEfu06Y1r4mw848c0jXXbia5I/ts2L+2Ovgd3YKDKzM+iGDqGpiiYSC/cr1Cu0YdhqM1Rp2tyrI0\ntlloiWxx1RF3KyBugKc1VLYgjFb6Pkctw+pHvP7PBiOpMNHAd1htCioNBC80zWlXKwutDN8Xw5xw\nFGWLrc2hxm6VJkRWb2B5Cvuwlal2KiQqBdhQWnre+bhW9vEkQuTJRaGsYzQhn8RMt+3mbJkmT4Ek\nAWN1wieJQ9fGP5Pv28XZCkg30voMEk1yMUqTiwS4sMxWK07bsURplnzniO/zYsJQJoyNNinFWUes\n0pr0dP3Zn0G6NWeKhSc3iMY+t/E0jFCbzZuw6sfP1w9d9eTNPzk7bQ2R1q7baI0ZDgKIfq86IdVw\nl+x240qNpTQ8NK7XrSLs3dP1t/V4/Tp4iwq6VitGhCG2QJlqBS9K+aR68ENsPyqAvN1u8c5gGpHq\neE9jOhwTrVLZVi82w1Fb48AzCTi/MDhFs+HMuI4FcsdVraSh4hXUMpHKUiIbm0i+gnjm7PimVE5F\nmLNRCjxX4XZvPEwjU+54n2AnjqUYXoyf9YVKpmoEEb5g5ifXwrtTx9cIz3rHrU+EqmxtxPmKcwvR\nVWqC2DmmyXGXPIM/oHTEzRWHw4RmI5SEc5WQErVTrNtR84IzZds7dvWBz3ulpsfWSFKN4hKz6/g4\nztz6E9F5fD+Ql4LzRl1O7IfIw1J4a4GaAMnMoswp8TwcED/wLQv/zxj5ygL/8fEZ+TTxwfYkgUwi\n01NFsSLgHVOC684zl0Kh8KfdgW9twysqzzYTN7JwV3ecXGWjDl8P3E89b8qC+dZUqZIRNTrteRgq\nKe35NTM3XukKjLWytY7r8oGjwUE8XYG490xH485aQqDiqDXipHCMcNu1SkR2sGhFPBS3IVfh2wJI\n5OBaeMprmXA28sEiHyfHw0noc+ImJsgnth4qidhtCcVTXOFaRm79njFnHjdwPS/M4vE14SxRvOcr\nc2z8zGH5/WnSe1FP/PkENVSGJCwhU3LPHOCaR1KJTGt5casHpCrXHEi1TUnql0+S3oydPAJCzRE9\nR0IrbFlYFHZr+PFm7jAzbmrmMVZ+7V7yxXyPdzO/7a54vsw8tyP3IcICg838bDEGWyg58rkbG/i2\nmS09fzB+ZNTIv1v/HerK2DIzamSrB17UnkFPFyrmO+1QhF/bHumN//70lo9uS5+UORrdIvwJI0c3\nrKXMym058g07TBJ3feB2avsHmPpMP3l+ETd8xRFZOswawzN3bYI9LJEUoJ8Up4bmNXjFYFsnfuv2\neO/oamLyPTfLxKgRv07QN3bifhN5dnKcaJWQrMYUtuzGhcl13KYVN5rLxgAAIABJREFU8DohVo+r\nxt/2z3hVPgBQnPIYlJulclJ4nTN/Ha75ebiHrCRfCTSnkW+71usec1sUXmWHmfHo4YYTB4Vtcjir\nXOcGou+9cbN2DpmA+LkFN6D0MrPLnhRalLut5xXXKJVsxjCvDiFSWtxxVTZu5lR6Oh1xDibbMOiE\nWysIh7xn4094KeTVZWYI7zFRnAlHr//ZpLHfxS2J8EDzuk0GgxoVJa2gJH5ymmfPiEnkEpXeWMSn\nF+lK74p9n7FzwoUV1XVf1YwDyl4qG+BozaxmR2VeWddOIdWmPc7W9mPWnCeStWZB75t2Odpqt7ZK\nBlbJ8erl20DNuILbAo3YorGR7iLraIups262yjm0QxFraYNOhV6eYrjPt8L5PYGmce6kXiDZeSiC\nNYIusQZkrH9oIRdNx9saCZsMJNMkJuf1mF+126eVqfdtMBvLbTTwuXYueoRuBdovzDitBxpXX7Sj\ntXS9WVtIS1L5nod05CkW/Jw0OK+ilkALItlgLTSGs926rddBLsdra8Ne2207Zy9KJ6ulnnsK+BCj\nHafS+itKxTVIQa5tTBY5h5Cs0dfrcQZp4LhfFzw9iaJCoVLRS6jLD7H9qACyLhO5H/CuZ3JtxXPq\nlFu9otSRWitdNdzG6KsxmfK1Lcz3YB04E7wVOnF0buLGV64Wh9XMJnoWM7qaidYunPiFXhX1ynOU\nJbS46Gky7sdCrh1eCre+0DlPJ0qvMMuJj0lY8shke6SL/GI0olZugWFQNnXi9VZYcuGwdvtLhqHf\nktLMINDtPFd5xLmZcRGeX18xHR5xLrRztUpNC5kjhqdo5vgwsCxKEMUT6cQQLZxmpUoHIfHgt7jj\nwo6FIoEyzWTzvL8PuLDwrB9xvYAUFnpumDmOjlOpXDvPgvCIcZ1GxivjC4VBlblmjlIQdfgKc50x\n8fSuMTPtSzLQJ8PUc8pXfCuJzzXzB3FBVckzvO4m/mgxsveMeea+Ro7VKDbxoihvLZFMuQkjr4n8\nqmameWbRcEmE8sEhSbgKib54zFqU+BgmzDrSlLifm0aZ4kghUkpmVqOa0tnMYHBImYN6fr047tOC\nuol9F3m+S7wwyIvyQh659j1WHgj1kV1Q3tUNufMwnehs4U9y4Js5s7nu+WZxzB5208SjKncPnu0n\nSWS/69voKydVbpNwjK1rPbiFVBroex97vphX34XksJVdUGsgZrKBIS1Mvr2+PTsnzDneuz2fTafL\n3/r8FJE8O2VX5yZ3SY6/WN5y53pCcsyuQ/0jY+l4cB1f2qHpBN2BMfbEZMx0vOAAIsx0wIT3GUnC\nxhJxPb4cWjR1XxUivB4n7tzAria+rBOLdURb+Mb3YEpfF0bt2ZRMrHYBvyffmPWhBnJRYs10S+R9\n7Hm+NI/gqQZOvklHfs2OL/3I127g5+NHWFaOy4RuMW7twEe2yApUbmsb4++I3JL5GDZ8R+RPJmXq\nK2ihGwMiiarCCUHWhcvrPPLb0BGc4C1xrqc+qyOjBg4S+Pl0x3ttko/iCicJ3MrCs2p8PWz4i/GO\nI4FpKHx2EpYA1wVekZk+AZZJ2yT76CPYxCLKlRhLV3Bz2/81MGo7hv6s3TyXeL0wSOWGI6fa45NQ\nnaBr8IpFhdJSRqPM4D2dpmb7qWOTYZixYYLqUZ0RCWzk0KRcOXGIlYpv0rZiqOMH5KH+7beOtaGy\nNrY2AI9wAcAtke0JWDjaQuXcWixyTlM7l76bHMBrs//71Hbr0zVFkSaHGdawjzc0b1zDLuC6o5X/\nq7QGLZMGkKqtelmVS/MbBsGtEgT5VIbb2Ge/2hsEbYEULSykvdYaXlwJs3bHB9fY2fMhd7TUuZEG\njvKZRaU1vl7GU1awBhert9QI2Mt4nSUi/Gf+1VVf2zS/jZ0/pxSej1Vpn3FegJxTAv0ZMK6fNdHc\nHgx4i3L1SdjSGdxXgWuMB2uNk1difGOOa2mLFFW5MOZwts9r7hVIA62iTapziSoXLrZ/53O/hIWw\nphxSGNcGv408eU+fXSjO0eXBNYnPZKvLh7am4qTt91ozVX1joQXMCmCoeAzHhLTAmh/4S/ujAsgH\nCdSHA3lZ2OvMLDfsXeFXuYU6dN6oxePEWvlcjWdS+XwrnCwz0kqJmYWDbPlmWgglsLPKsGT8kvBd\n5UXdMGyV7nTA+8wSBKmQ6wZqRjtjV2N7KCRHdc0GyKsxi+G95/MOegc9QiHzbYm89x5vgmXHs6vP\nyGkme8e9HFiWhU1V/JJ4pjNZjF0QnCY+JuFF75FyR7d36JKYcyKtroNaIPixfSHqzM4rwYH3Slra\nQ2t747B8YkNFu0C98UwIy6JkejyOeZ6xuCWfMskPJBnxsuFdmfjseoPmmXFxhKpoV3iomaNscHXi\nzsC5DV2ohKIc+sak/c0oPJx6MobjkT2BV35Cfc9CIi3GQWChJ83GXg0pCZPCYR552Xl2fuJ0Gniw\nzDY4hjLz6xT4TyXwzGZuvPBeek5zxrlAIvNnvnIlcyu3uMqhGkokp4ILma0YhYqTwMHBkRksIEUQ\nMv0iSM24TtmcKrtu4Znf4MORL+PMdYUP9cQcO349DfzTBO/yNdvQE0LhIRmhFl5m4be5snUNKP7F\nMeHJbKvjp5sD39UtoV+Yyub/997/XdpEjC+XA6Dk0rEtM8fQgxpORr5cMoYweOMjrZFrAqLNzC7S\n54UpNr1w8zoXJu2AypfzkaOPl8l2Ch3vQ0AMvhgPmMDbcM3ezTBDVxMlCH80f+Cx69mlxBenA4+r\nljfUtt+vwxW9zcSy8MvuGb0s3HUdVZQQPPs6cgjCzbJw0J7ghF/4a17aI4cusEmJ9/3A87SwywcS\ngjj4zXCWhQg7EzpbEDOWIHwxJxb1LFFRjOQcG5uZJfJd1/PFdORmAuePvFweKDni/MJMh/qZTVkZ\nVdW2oHCN1Q7J8R83L/j5uPDdpufn0x2TRn6S7/g8RyaN3E6J02oJZ+K4PVVG3WEC/9ANfKUPaDU6\nKh91R1kn1Z0l7gfli8ORN0PHZ8vMb8MOJ4moyrvecz3PbVJTx1ihXxx3sS0yPkThdm7s0Xmh8OCM\nr+aZsFrR3WZlVsOKp6513wDsi+K8cWMnriySo7KrrYmvujZDb2TCQguqKb55OEdaU2+UGTEILI1F\nUmGR0OzwLJExRI1SOuLSscQZZ5UPLuKpqFU2a9fPJILzlW3+/YDJ7sLotfJ/ZZU5SHN3MGmIs65N\ndxf5AU9ev801sYG4wDni15qvsj2lyYm2Zr5Mkx84aVZyCeFmRam9Qq6CW/d9WlniyBN4CrTy+Tmk\no0pjWWWVTCw8RSDL+f11dXug6aQ7aTLDKoKeFwe1pbkiq8uFPHnsVmvx2n6VBOj6e0fzMl7WMn6W\nBp7PbHKU1QVkRYheWjPbufFQaJ8vYlyv8gDOrKo1ICzyCVA/O0FYY7tbcmBpzXjSWOWywtkN4K0y\nq/DCKkcV9rRwMpH297Ieh1+p8ITwUiuLNa30Q9VmyXlGyMV4lLNzhWHOXajzswOGSnOd8tr23blz\nw2O7F+rabDiQmaVBzSuaS0jELprhzNp8SLv+UcBqO0a3LqRca9Gmo7mC7FDyqkNXXe0FTRikPCUY\n/gDbjwog/wd5IO2MOheO6viHBd6cMlqU2TxVAn2oOCpuqRjKI8bJOcQcu2gspxELiubKVg2pCSQw\nyhZiR5KFr32gLA6rz4iusjkY+6jsfaHL0OtEJwPBKtY7vFS89/RSyQKdn7AasepIZox03PQD12ak\nGDgtxpul8Hl54L0M7Ivy2a1yN7be2Vl3VBO+tR0mRurhmxoYrTCoMVbBBYctJ06p6e22S+ZlqNz6\nib3LOA8LniW0wIbDqWNxYFLxc2CpreNTKDjvIRfUbbkrHomGqrHYDd4rkzvxfyzKjez56AoPQYlu\nR93M9EX4hUaOacbVzDx6qDN+9ryOMI0jPvRsPdyJ8nEU3i4ddkz8xWbm1XbLbybopqaD+ofk0LLw\n52Gk95n3teN2GXk3nrinYzHPIMajVcYU+XWIfDsVjqHiGbBSUHX8xyJEBj4XwXvPOBdedgtBhEAh\nqnCXMjUlptgTncPvOsJ4QC1zkxeMwJdzYdd9ZOcGRnfg13Pg7+qOuWZyHbiujrLMZFWeqePkF/q6\no9QRDT1vA3jdI/UD7/c3/K+njDdHKfC/Pw5QW2zuzjv+53/rL9gPtIXkSKFQbODaHnkIuwZ0BTID\nxQvBlrUru/2cJLL4rj04feBeeq6tsagP9LwsY/PvdcKH0PHV9MghRLq68PnSmtKm0ADf59Mjc+io\nwa8sSqZ6IVTl0Ht2c+JRI6EGtnYkAVvLvKhHphj4vBy4Z2DDzKN0fLZ85Nf9vrlf9B2henBHvlwe\nWFYPqSUI+zrzoBse4nBp9PuD+XB574hjx0ysmYXAu3jNQR0v7ZFntVUQvut7XkwT936LGqROuZPG\nmgcKcx34oh54F6/5IjWG+E18asm5yfDeR/7d8oA5h8O46zpulwWx5rv8xXzgn7vn/KS+o5YO9Qs1\nR27twF/1LxGRlVk2PrrA5+nA136HiDHWnutxomprbnwT20cXC9ysrPej3xBr4n140lK/yIl7Al2G\nk4NnNSGWmr41BZw6XlkmJeWhL+yTgsmlTNyLXUJDJhfobCLVLRXBqKgKUo1OMuYziwVGIi+03TeL\niyxEOhIiilSY8AzVMF+I80ByGXMFLf5CdVVrVcJaHN4tOFcppbAp4NUhZ0Hn7/h2bpZyKmy0kmuT\nVvhz+X4FhaxM7BksnnWo3gmu2jnNvOmXV42oWgOSedXaZuzCtq7SeapZs4NzTWZgZhdgpefyPE1f\nemYjvTQ/7hZLLGylySMCxkwDVWGVcDgRJmu+y+cr1hwmVumE2aW8n53izVCal3ELPWlbL+21M4I4\ngdocOI4mDKutXVyt6M6seZG2j620+GR4ArwADyh7mn7at93T05rKEk2DXVdpyCKsSu/Gtp7Za6H9\nx63X6FGU3er30ZoDm8uPCmzXZ7HKJWizMcK2Mr7rcc3r9Sq0sZ1o0guRtTIgzSmkmrC3BjzLJ3rs\nBejXZtpOjGwNi3gq0QpFhHkFyUEK3mCu7R5I1uQr0DTaZ7u2YE/3FavEx1aW/bwFdSxrmULE6KSs\n93MjW37I7MsfFUD+K/cCyFzHwsMSmNyJXez50h5JEdIyQjVKXaAL9K6tkswyWGKqkY0oe5eZgE4K\nwXn6WDHXEnkm29EHyAWOxfBWkF4wMe5nR/JCrxu+7CLmKsUyisM5h0QH1Xjvbkh4vLQ0JmcwPd63\nL302dk45auWjfsY+wF6PjHqDbpWFDdOygGR0muhixPsON8MmOkwqoV+75vsNsRSW3PyU7xAO3jNo\n5sore7eAOmpRap7ZSnvfUg1P6+ycSiCXwnG1S+p9ohZlcbAtM1PxPNae69BCFF53ymeLEP0jh1KZ\nQiVPE5/1EamVrJWSHYWMl8hXu0guB050/MQ5jr1wyoXiPF8vgX9cCn/qKuKEd0vhlBN/1sP7AtfO\ncUrC5I2rbURx+LWb3PeBtwh7hL6DYy48avPKdfkp5/2NV8gVU8fHHPAI+6L0VAYSn23gZT2hosTH\nE16FIToeSmIJlcdFmctL7sW3hp4wcF1n3krPvJz4rmZMPcdSW7LU3HHijs8G5aqcqHPidaxMLvAi\nz3yMMBbFnKK6I9eZWiuPpfx/3ve/a5sjU22gzyeyOjY2IlQW3WGWwBrn02mGugCeYE9SCZHAy3Ki\npWElRDZYPTcxekL1JBdxVZE1uOGd2/B8dZBIrseoFHM8+q51iItQJHFbjOoDr/NMb0d+1e+4nReQ\nxsosCM6U7AqbBUZzHH2HL62VzheHimNToGrA18KnzpqH2K6jS4Ebm8ga6cxRRUiamUO86Pm+TPf8\nctjhkxCssqwt+0sQqiScGL4KKqFJSgS+0R1XUvDFmFYA+tV8Yl5r3QdtjD3A0Xf8ZGog+mMXuZ2b\neevkI50uzYe6Zry19LB/6l7wl+ktxQbUrZHNOTYLMDGGuuDcwv8VPuPfT+8B2MrCkWZzuc1rwIoq\nZh2iM1OnhMkhdSG5DRtr1+hbf83L8thK8iI84Bh1x2flgZIDg7YG2fcrV3mVT0wrGF1QkAEVJdkA\nasQ6MvkNkXskO0qobHK7rkrgar197odAXxOmRpCMLz2lCI+xMlRpDQnr5VQCV+ERt0ZSOzy15vZM\nFyHVisrvB0B2IqhbXQTMVqBVyeIvTB+s64ZqF8eJ8ya0II9AA7tK037DarFFK+OfPX2h2fydNa1n\nWYTQLOOctP3k2gCmX10LZoTrWnlc6VSnQi1GbA6STR5RV7eCtYxPFcKqXXXSpBWf8v7n7yMr+K5r\nM1y1ll7nVC4BKKMI2/X4RFqf01k60F7bmFbH2YMYQjU61yQK5/XUghJW2dKV2EUOIcC83lPOWtS5\nvzTBtc86s9+ltoXjiVWDvZ5HtcZoSzul5sBRW+plNug8zPnJ4xpgL+2cyuoicWbMvTw5w+ykLV5U\noJaWMuicNJtbmlOFSsWfNb4OVpUTyRqReE7a89KY8SttuvHzsbpVHhKdNOs8YMfqCmJP414RfF0b\nMT/RFLf7KF9AuqpSCmvyn7QQuU8tOv4Ltx8VQD4sma4m3ktrghucw23gNHd8Vg/kzvHxXghacJKQ\nEjE1YheJVrnVE3KlDCHQy4CJMGvm3Qgf1HhYCjlnHkvgXowbDVzHQKmOexMOQ8Q5h3nHb1z74k9m\nVG1RpDEL16GwmQukA1Uc2TzVCZu4J4jShYLUyo0DFwJVYO6fU1WYj5V9qK0pTYR5uGrduc4T946l\nFrQWHstMtsgsFR8d1RnOD2j0eO+RoDwAkzM2ZEItRHNYLtRa6cuCWxsA7gukBGWGxSuPpYH8Ohfe\n+J4rVW5jpkMYq5Gro9cjb6YtkyuYBfaDo9ZMDGtHvhi5BJ7pgeCbnnusE4t5bnxmXAreOZZl4X0K\n3Cdj7zpu3Tf8bOj4OEbuwpZ/TJX/ZlBeSnNC2ALaOUqduWXhj83T6cIueO4s8N1ReDClBAjFcXSV\nexI3Vdj6BmruNDFEwaoyqJHLSLaA1eYqsYyCLY6cBKkBlcBRHQ8lMFBZHDzaFqvars/cuuZlJ9jp\nRLfM5OqYH06YcwTf87Vm3LSgHHkZA0tdSF7IJbDkArXif09KtQDJNynT4jZ0dbz8DJWuJnCFZVWx\niXQka86cF5sug62eSNbzMVxznSY6ha+54sYWrstIEceddtyUiaIVL1xKiiLCSQee2chNOVHx3Enk\nVU3c+Q0J4XmeGTXQucTJNQeNr7lBxfjoB/5gvuO9H3ACj7b5XgOSq7U5Z8D3BJVf1Hseczv35/VI\nNteSs1ZbpVAcj9JcPLqsnLyjr46DbggmdHbks2Xmg9siZsw+ctANmPHoNjwvB366hn2YNABglpjd\n+TGdQYV0TnuzhePKqm9L8xf1RYkkPksJcMw+4svM18OOz9OB7/yemxXoFhvobcG0clNGUij45Pj3\n5QMgXOkRMXhWMiPwttvzj92Wn83H1tBY4NWhhad4D5/ZA4aRxOHdAy7DrHAtFVeNq/rIrkxEF4nL\ngorx1erBXK3S5da136syeSWQERW8HkHhejkwRo+FFdAFmCSQ8xYnJxZ6+tUCDxVmHMtQLnpOWzN2\nDSgh46tvfREB+lzb4g7XAGOtF33k78N2MQ9QJa9Nji3JrK52ZU1TrAYm2ph/eWKeoTWoT6ZstckJ\n3AruWCUKnaz+uSv7iT7Fk4usDOlaNreVEs2uuUl4M2ZVtud90UCSVFBtTYQnVTZUskrTL59lCGuz\nnTdg1bCetwm5sKhZWkObYpfvrNfG6i5nZlhqc21ZGexx1cH2Z33t6gZhtL6KvKLk5rrwFN0c1/Oz\nVad8xnhmdgG6Ttvfte2iuX6sIBdY5SHCdpVEPMkr2uu8NabZAWV9foWVoRfXmPlr2uef46XVtTEZ\nVva+Xa7VQ1iMVNvnmWvsc6E1xRWDILWx/WcAuiYal2pEJ9QCHXl1mTH8yqyvRahGQGhzq1gQtK5R\n4K2u2OYHGqNuBkWbBOZMHvfUC2N/PqZKpeiqAV/Z7x8yceBHBZD19EBRJYTA1jXdXhDli11HJ4l3\nOVCvlKUEboJgVth1/y93b9JqW5Zl6X1zrrV2cYpbvPqZmRfh5h4eBQTZiCCDjAQJEkJI6qibTSEQ\nJKiV3QT11RXoH6gj9BOEEhEIkUKEJDLCI8LT3c3D3M3s1bc6xS5WMdVY+9xrLpDUkEG4+4bHu+++\nc/bZZ5djjjnmGI4pNvyytLw2x5MgWOuZY2aD55ATR4t1GMErpZE6LGeBAcePaXBEWoXHbeGxCOca\n6dJA8oVBem4JFPFElDwpV9pxVMV7R6Te2KeceeqMIgkJLYNCMEVSIjDjs3GhwkpBV4GDelJpMRKT\nGTkIJXlmAn1jSDZyHEhFeeRmnvmBcYyYa2BWStuydoGr3LB3LQ7FuxnNjp14FCEXYU0h5waXhFwm\nNBsxFzQVmjJwIREvM4c5sU8rjrlQ3Bnf8SOr5sDaGb1lxClTzCBNtbARz002nBWmHEkWOG8yc0p4\nB++nSNZC5wq7DCs3MdgTrkYDn/jEJl52xksCt3MhBGMbCs4lVlKYJPFhLDX9bipctntWrZKy4Eti\nu64M39WgmAuYGIecKKXl2arwxSEyWkNwnqspsPeOgcJKq7eyhRWKItSI4FZnMmu8FZ7oSJGWPN1g\nMfGsK7hjqRPNHl5PkVvXksrAm2mNWMOF7xHJ3MZ6YX9/zjjb1djqFJfH0G/HstLKWh7Lltl1NMz0\nsqdYj/eZaJ5kDbEE1nqgVeFvwnO+M+8IUmgk8hWXXDCzTRPPUtX/qoOn8cBBlbNoEKpXLgYDq/vm\n6Z32nJeBaMrOrfl0fs9ds2L0LbQTflpz0I6sBSboyEQLZC1cSQcU1m5EsvDz5ozHOfEyX/FWLsii\nZI14c0Qx7lzPZRnAPK/9+T2r9kFX9w+9U9uzGNz6Hsv1lw7jIh354FaAsJceXR5cFLjxKyjGUzvy\nXlakZSRKRPBkGokL25l43becHT0rOYLAbAEzf28f9cj2fHAdT22ARXcL0DATnfAi7onScJ5TZdvp\n78MO7nzPKk185c95XGZmbzyZR6ZY/Qiq/jSDRf7k8J7ReRpbQjhEcDIQc3XYOLbGJg88n4XbpqGz\nwmWK9aGWq161SVN1jbB8v53HTmFp166GTJeWx5yvw1sSPZOCprp/kpvvwatzezQ5nCjFZW5Z0TCz\nssRpXmkQx6ht1V3rRNsfcAiDFZpSraksVweDakXlQGr612/D0p7kK8vAlBNwVhjE00jGpHKixaip\nqyKsS+GAVsAlFYD2ixVbWphUsQpWRlFmhJZyH0qCGWVhS9uTjKDUJNMoJx1zReBuAdPlJP3QKp2o\nWuSqoUaUCWVjhdkJB6uhICJQitEtg3meClidQn+iralAzS/wKS8SmxMY91JlHmV5bw2kqGDuJG8w\nKpi3BaT5BfxCBXFx0fy6BdH1ZkStxR9U4FZE72UntbdWWdKFqAZOtnsLI2+GLd7vToTJasGwtprn\n7A2O1DCSIzXGu2HxCqZGTdfPqd8jm7ERYy61IMgYGxKj1DS9M7fYt1GDunbU6OdqwVd1yCfOoMHw\nS+fvWFzVN1MdLE5x3vdDnvzqMKS3GlrktHYaGqlFSqLq0aEy/50KExAs4zWRl+2p3l+Fo1Uw7uR0\nfO2+a/FNLL9WAPlTjZTGUcpMpMZNB3V8mTzoOa+K56bNdHbGmzxypokyFIrLXAyRVTNwLo62bHnt\nqx1ZUY/2a7apcCkzqlBiw1cxMWSHkOjUcGTKAK/LwC9cx8iWQiEUYe09WxsJ6jg6x1gy58HRSOHM\nPKnLqHZ4iRx9xyq0rIty2ezotcZQaoa77LgqPXvvuM2eaA5xgaE4XDQeuURXEk99RqSK2cUmYum4\nc6BrJYvjWjsGbQgF5iwomY3OhGmgs0JMlWvrXUvOGckZHPSaa1CGFWgK10fh1SR00vM0JL7XHsEV\nWtewP8K/2xVuxsINZ0yWKRroSmblIisT1p3nSSu8nmClwnVRWlpKO7L2LYc8c2GJb/VwTLDWkV1w\njKVhkoYG4a8iTPkFj9sjWeGRm7hJwmAOE8+drBmscBM7xqjscuKMzFkxVlpo25a3FplK1ahvesXl\nxPNuywcz2jKyIbESwceJO6sP6048qxgppTCpMVNo7JbQKKGASxNdyIQ2sBNj0jN2kok5EzdnxOxq\n8IkYjZt47gR1hSeSsSgMHna5QcnkboOLx//P8/83ZWmSMHjHSnekEphpuMiJz/wjHusrLkZjrXv2\nDjYJfnbW8U/uvuArf8FlnGr7tnXIMoR21a64nI/I8uQQg79eP+MiD7ziMQArZm59HXT8wfyenzSP\nEWd0NvGz5gnZKTEF2uiJVpbWXL29jd2EGwKC48wf+WS846/9M/7EPiBxx2erC86PPUEjlMAkHZ+U\nD9xpz+V8y+wd0ZS83C5FDNUM7UQel3CSohQKH+c9I6Fug4FJIKAEjcTicOVkUlrqz6I0NuN0hVq1\nFUvOsSojm691HT69GxDnOCz3/lYiEy2XqTKmg2t5lAuHUB9YM4FGIrOF+3UEKxj1QbhOE2/bCz40\nDS/ieC8zmb0xyJr3DYQsRGc0SZh9lYMUCazzjFfj0kYm35Dyyb2aKvfKLTdBH/qvQJeEtyvjbK5y\ntiLQZLektsF5XDSEgOhDMZnJtHO77JeqIw2lhrAMTQXOKkIwQWTCUkCcR7ORePjuTmDdXROkEi8m\nwuY2cveoZft+IiuU3hB7KC7mMlG+to7f5MUt3ZtOEokaXNGqsLYKXvdUPWlm8e0thTunBJM6sCZ1\n2OvUsl+rMX0tkCIhfCKFK+Q+Ha58jUGepLoPqavDa8HqOnYFVl6Y0xI4cUJfpwLP1eG2gyibXBi9\n42DKCwpRZLFKMzrnGKnFVLSTC4bdB5E4Eeb8fwubkcqETypxOTWwAAAgAElEQVS0xuKhW1lOZ1WK\nkb/mInGfKrdIFNwi7TppoGtE8sM+n61ea80CkBWIX5NhZOqA6SlEBDut+wHgnfbv0njjXCGWch8m\nolTZy0bqC5YE6Ps/9djV184sDPQCok+OEoN5stZi5dRdgKrVvkhVSzwWo1li50+TBzOniO1fBZJm\nD5Ka6m5V99tOqn78JAtppSw69zqUd7KIOy0ewZFotd4b1MC0noc1qlxocvmVmGwtdh89/k0sv1YA\n+W+kx0cjiXExZb4TDA2wnzOfhx6XJ55m48xXbU4jjrnJTFEZ2o7JeQ5m3E3CnSrv3DlKYaMTXoXn\nKE3KdNkQIo/dxCMFJwWXRl6ulC8lAJ5dObKLHrynt4mMA5Rzl3ks1ClsWeMUnjRHyDM7EbIFDsVz\nCB23esYvY6atb71vM3Hyn1RwlivwFthnjxr8LBobyUxqDObZ4mh0rqJ6Z1zmxCNmZlPunNKaZ8qC\neuFoRhSYc6LkGoKBQdwXvK83/yCAJcQZZ23hfVI+jEJODVOT0aGewdl3NGeORzmxkobWCy2ZlfQE\nzYSu4/Y48/0zY8wzwVqGPOKcQznwUQtX0ZCYWPsN1wQ+v55JcuRs9YgzP/OH7cQ4D/S6ZZfg38YV\n0XdMcSbnnkzG5cjtIgg7MvHBd6TjHgkdPhpDaBnLTM6ZfMycW0uXB9a950jhyyHwsdwwCUzF0Wm1\n7XvkZ5BIHxUJxpviwA18OdeWvc2BmRorHUNDmmbWYYUkoU9XfKqR0dcoZIuF3bFBgjDMRmcDv8vI\nHDwxT7wr7v/xvP9NW0YHTiPZGtYW2RQlrwov41v6GY6tsZ5h7jxXwGWJvFo1rNKeQ6iA42W5IUrD\ne90AhSbMPM87jt4zSsfzfOC9rvk4VR/e13LBSisYfNeseW5HdtIwSANi/CBd8Zm7IJTMLA1bGavH\npxWmyTE56JjpEty5Dd+2I6/cCsW45MCNq/PxnZsoJgyuxUthUsdsDVEV2pn1vLSnTRnHddUuthFm\nQcyDZbIoK4k1lSzD3CRybFGBIBOjNdRI25FZHa/1CS/yNZuUOXqljwkxBUrdHx1cHA586T7i4DxP\n3HtWkxCkMITFvzcnXrU1cOS87GiWTLCGmdfunJf5jkkCWHWu2PuWVTmyLTWEyczz2A6oCWu7AWCW\nhnU2kAilqQBbErMXZoQjHVEaNtSiJxdlZbUV7N2IeKGNubZug+MyKkLhQ6s8Hg1THsILMLxUL3vD\nsHBCEYI4ZSbhs+BlKSJoCXHxtp0KFgRXquRl29ZzJu7PmVzhrN/jFc52CW9CVrjbOFBhez1xfRmq\n7VeGTUn3jGNrv5p4+Ju8JBM6MlkcDbnKjywyUp0sOjIRZa1L0IITNmbVWXaZbclU+zQtlTkui75c\nMM7F2CNsMA6nHVgeZBAdFXD1i4sFAjtROq3MrZca7ezkwb94vQzjFa2AOjpd5A1GUliVWvB5BazQ\nSgWfyRZvZ5bI5aXDs/YwlgoEV1QWONsypCfU72YwcfJwrueoUFnuztVhQSdLeIbKki5X2XivusST\n12G4ZIlOezoKyYxBhDOXq8aeGrKSl+HIvID7mlIIrlQmdMm5WTTblQH2ujDYy34MCINVn2pbNMRu\nYd9F5N4Pvam74X74suasyNLVAiUTpNrWaaXyq7+wGY/FuCuZ2vOux1eX9VQW2O6lDdWdZEn2WxB+\nAnp9iDJPi0YZqUy0qVXpjekSc23oMribF114zIvdHsKmlMVurvpbnE656L5WoXwDy68VQP6hH+h9\nQ2uF6xR5O7UciuNOHfNk9CQSsJ9gWloi5yp8K8w4UawU5lTB3PuUaeMOVSW6DCg7Sawx7qZC5wTn\nGj5LcB4Kb2j439Kac51w2ZBwQdMXVuIxB644DpZR14IDI+LMuPKBo21wwYFkVuQaKx2PvM5bZvVM\nmpGstM4xlIKXQpI6nJMkcjRHXiYciiW2CkUdQyzMybgV45G2mBWGWPhgwAK4nEK0yNpFXFFGMSKB\nMSi+GM42mB/ZhpljqUNsThKeQFMKvmQ+znCMBZerifyUM8FB74W1H4kloMGQnLmyFdclc9CGcfLg\nOlZxZCU92PL9B4HOEZMjmeNaqpA+KpxdVI/nm2zk3PPZ3KJ6wSFGhlRYi9DkAZHAhRN2ZswecoJj\nUUpSZI6ECNiRjfc8yiNXY8QiFFf4YZtxHq4jXI0T39ucs781coDGRoZxT3Zn3DUNk+uIObHLVRIw\n7ALiauchWmHlHY/zjIXE7DLBJfJU8NryV6knxoJJ1Y/n2NHEPQ6jYcsr55izUI7Kev3b0aqF2rbM\nrVCigy5iTIyxowsjeztDMuTOaCZl7x2bVFvpGUCEjRZelRXmlVUeMRFu/RlYIZB4tARAUA50zrEv\nCip0lrmWbrkzz+yl4VO75W+bR8jk6SzRkzhqx8F7LucZE5isZUt1YHBmjFKDK/bS8tgG1vOSv6QK\neFpLVQZhgHoSjo0NyFgfIwBHCayI7GjYzrXVt7aJnfY4Mm55uMxeeBwzt2L0MtNY4eNywzvtCFKY\nTHlRrpmlwdzM2Blnh5mrUIv7R9zxmjWjc/yLf//nvMh7/qv/5Rm5a3k83KEx8adt4e/TB/50VfjR\n4SP20nB0LatFa/xSbpZiYWadjYMXxBqCxEWcW++tr9wZ2zSx82c8TgNqpwjnQIPR6ClIBcYl9KUp\nhWkZsGpL4s6tOUt75tkRQmL01SJTFvnE3CqXe+FuK2x3VZsMlWmyRimhMsxXXeHZTcFaRWOmM8ih\nAurs6jDOErJZX7MULkGUcnvOcqrx6OyOixQhgXVg0wKE7+p3OWzaxY7LoSFxXBj+bAVvCf9bokJu\nJdOI3LtQrIhEqcPMUV0FMALZqjQoL+154SEeGnO0UgGwo6axOQNDqxaXCl68LD6+S5KH1H/gS3WO\niCr0CwCU5bPCycVhActl+fyGe5VM9VOnMIuwt/qer8cVl+W1Jy/kEeHreCmVylK7YkxSO1UjwnaR\njRysOj+dvH8dDy4bR6muC2EBfnEBmMWEDYVZCo1UDbMIUIQZz3/8p79A3Y7/6S8+5dve+Kp4dtPE\nxRPYX2VsY5xPDZjDfW0ssugiS1nkKkYdIjSpQSP3Dh1mCJXlPi7sfZXELEB5AY8mkJdhVJOHgb+a\ntleLcVhs0zAQf58KuJaqDz/HGE5abLgfurRFqnVuhbfi6Jb9GVy1yptE6VkCX7TecrzZffeoFgZL\noS9GIbFxhdkevKEnU4JUs7qDOVZAVGVjkWinzmMtqE7hJd/E8msFkH+RPLfTitllvHiUAZdbGiuc\nOxitIYsxaMFH44nLPNJYNUfDCN4TLfGyizwVZTcLYwncRMWjPPaJVozsClFbrnLkKZ53RVEXWGtk\nMI9ghGnCd46o1dpNg2dtDtLMYz8RQuA2KxA5YEwTiBaSBmYpzBjnNjCaYLlnjzHJKfhRWEuhuMQT\nU/YkbrQeCl+EnBOp1Auu7x2aCnPJIAnnlV5aonlyzkxkhuI4irEyhyPSlQmdM2uMC/lAmgOuMQqR\nEhNRBZWOQeY69epy1YYmx0qVWWxJrGp5T4dzHjFh7xJdFsQ5ngp0MtKIEUj4nBlTYSIjziHLZPB5\nmHiBkmNBGo9zPe+jch2tRnnbXMGTeYzMbGsuUW6t8G74UFOCcqFxnjimmqpTZtYCHk9aZBJrcWQ3\nceE971PP9bxnoxNhc4G6wqdPlJsUuEoNY3QcXcdWI4VzxM985IVsytw29cHQVIAci2CloUm1cElJ\n2Lm6jy5UKOIwFcgN0iUO1lG0HptYAArP28RZ+O0JCpFeuJJzeku0cXE2kC1dOjBKYteuYI6/kkK2\nUbgKkcfJYyWwIbIvgRckrq3q3kYNRGm/FijSMkhL5xydZUZr6cToFheHGByv05qP4oEftZdcpJnR\n3D0jpapMwXGkoZvrdgqJFmPSwBMbue4aFKOZ60NFXKEkhUULqd54Mh/wbg1pzxu3BWDtqw9zoGDq\nyaYUCTzJBwY8L1ziM1txaQMmSh8y3ZwxUfbSMGvDYzkSi5GWoTsNDdEcHQMflR13/hwK/Mune8o/\nOtJ0Dfzej/jP/uKM/6Y958/zv+UP/6Pn5G7PD8YveVP+iD/8m4n/+t2GFY47CXiLlEVqss0ziLBO\nxlddy0fjyQ2jIpoT2BARGolEuqqDhvr/cH9M166mG3ZJ2S9+x4hW55FQP8+kcD4qSRJukSq0R0gu\nUrJftMTLQ9uMsEhKWj/jdwFWRiAzl4C4KlB0pbJubUm13wq1e3aiKu0BNKnLnO0zmYKiXJ+1bI8T\nd+eBfPMEAMcVXXZMvtCYR6SeJ8EUo3C2/+1wn9GFXY22MKLL75xVULrVqm8tPOhGg4IlY3Y1VS6W\nKk/og5BzDf44xQifZAG2DIV5V4FKojK2cZEPCEsktFPOSu22GLXF7p0QqNZzodj9cJ1Z1cvWMBBl\nvQx0jba4WQjkheW1hYGdRAhBSLlKOwDUC+Oig+0UtFSQH5eioHOCZrvXEbtT61+WuGYqkyuLlMGA\nxgu+LKEjZESVWIw/+8efcXkZwUcYjJtP9jx6vWaUN/ynf36HlMjPRs/veMdfv1nxxc9eMC3Dhtke\n7PHuVVYG5w6m+47LacjS7qUZFVnck6nV2YEHSUm/nNuoMJ0INoxsDyEvK4y9KGvL94PLE1WCEqjs\n+kliYfJQvCDCnTnOliFLlu+BysJ2g1Ee2PPTRsO9rSAs8yIiSzEAqehi/1axFUBTMtfieGyFUTy6\nbMW8nAPhG2zW/loB5Ls48klIdAhDhB0dkSqp2M4t70KqFxLGtnV8189ckDmmhrPO8+44c+49bZwY\ntOVVLDwR2KjxJUZOjlYcznk6M56KUnLhqQo5HWGeedI4ngTHK+35PAoqiU9KwTSRPCDCtTqOOdCY\n8T1/x3WugSGTeKQomEf9xDHNtM5xk42jRVazoFrjGT+UanB9LSB4HImNep7oVFNtxHOeIy9tT9BE\nGyINhQ9yxjWVjlUntHrLJ27A2YiVQrQ9x2lD440QHEfn+cWh8G5yrGWmawwZhFEiUzIaE7KrdjMu\nVJFP7wTyQJMGfJv45Ri4mjIvV2taN7NpjHZQ5jYzT8bMitsCmYK5DZEE1rLb7XmVOswK4iCL40wG\nkjk6Z+Rp5nyOSEmsfYOGhEwDu6h8UqBvjjx2nrspcmWeIsaUPR8yrHrYmeOMU959YVc8NnWETaSR\nnp9Lg03CW698XgKHUniMsF8VziTz6XmHzkfexEhbPD5l1p3hdMR3Pd4J0ySAMqkQE8ya2JiiqrRu\nRqQQCKTgKcUYxpm5REZx1X83zmwtYd7+307936hlPRis4HnZV1kB8Fz3/LR9gojwLI8glRIaVHmR\nb3nXdjyKgbehwRfjUUkkFa6Xx/FFmfmgEIry2tfQV8EQCpdxzw0dF8x8FlaobziI0DLRW2LUwGWe\nGUPhfEpc9R3bPHOzALWVDMgy2i6zMLmGkCfmpkqOzufE5OptXwRiCza6+wfN4FogIW1t8DkBspJ9\nDTPoSryPoPqgGzZh5qvUc2ET55J4Qw9FySI0JRFDwxSqKPCRzmhs6LnjoBuexpkPfc/d+pLf+bDn\ne+kO/x++hg+f1k7Vj/8pj/7zv+O//Kt/jT3+PdLLL+sHu0ueXfzvSPguf/IX7/nl/jv0LvFOHqHL\ngNadtmjJDK7lLE3s/aKflkSfMt/L17xqtzzPO0yU5+nAwS/7sMwcfMs2pfpwzvVhtfeCt4E2ay0s\n9UC9o820SbltC6tYY+orq1XdTLYj3K2gG+tD25nDuUSRapEVzVVLNgArWFFEjMkrlIK1hlimSE3c\nOi1zCnWYyhJq8N4uAXjEB+L1his2eNujBv7yls0dKIl8EapNV1HWtzNIQc14f/FbokGu/XRaKfct\n8iAFMeFMy8K2agWBVsFMC0xeWdkyjKcZNSoI0Xp9FjOKuDrIBdX5gqpPrhZ5RliG8HR5TRZZ3BCE\nlipb2KoxwsLYy69YddkSNkKpscRWKmg7ATilao4PX2MOgwC5ukmcQHPB6JYJxQyglX0NyP32mUoN\nlLEHFjmaceaqk0ai2ogN6vBktiTSItkIPpAl8y7PXJ7Ni37IwQr++e9/wU8v4U8uFn9lJ3zaFUjw\ng4/v+OnPN3jWFVyKux8mVFHMCk4cSR70tcvcHFkeNOJrlmjtBx66kociiyTG3b9XLeMX1n5cHKKV\nSg93xX4FeDdWNftTqfvopKE2q12AwMOxP/2VrBZkxSoDnZahQKXeM+NpkBMW2U0d7UvU71VwZKuS\nEQdElLhc18Erl1bwZjQII3XwtJVCsqpL/qaWXyuAvLMzfjIazjkcMyoZRZlmxys3042JH24b1CYw\nx0TgZ7nlp7sBj7BW4SPX8Dpmeu/5yEeO4hFTXqqyngtN73kzjHhVknOIjXQloJa41Drh/tkcGUXw\nUVg3cJs9O0m4o2HBsS2KlciVc7yat8zecUZmGAvPXCI0kaSBu1jF/mu345EpTj2x1IMpS/WVkpIV\ngmTeW+EqBbwoR1OcKDk1bM3wxfBS2OrMrjgmF1At+PyYHzWeNg2IE4SWXYi1xYvQ28xmnXiSjowl\ns58LNMLZOPK8LXgXCCFwF2sKnc8R1arFjnTcHDPfUqsBLZax0vD5DmbXMw+ZISYmPJc5YxqYC0zJ\ncDpQCPQuYynjsmE2ExCQjI6J1znzhfasQ0DjDk0BV2ArBw4l8OPbwK1AKoHW4HEQNpL4XqesG89U\njDIuOfC9sZJUI2vxHAL8XmmJIfK0Dbw/GpoUmpmQN5y3kbt55iO3Ig6JOz+Rx4nvSiB1K97tJjZZ\neX7Wcz1GUkrQNLTe4ULD9ViZe0meJh64NKF0gbnr+ezDHZ+LIxQoqWMMHWUM/Pk/8PX1TS0q8P3x\nltfNivNUpQv70PLIJh5NIx98j/l6k/pkvuUn68c8ixPvG882L/674rmwxNt14Plu5k1X9Z6WS3Uw\nkJabJtO7BFGZ1wZ7jwR4dhi4dWc1IGIdkbnQZI/4iRiEJ9zxfCzc+A1DScxNTfI7m5W5gS5GbruG\ns+h4gmCSaRdPkysPq1S4aR0XyTNq4rwoj/OBV75lszwMxgBdMSwrj0vCtDom/H0PtiQdzI3nLtX2\nYsGB6zk2iTZmvjMdUYErabh0kSM95/aBf3f5hN99fct/8ezf8OP3z/j0PxnrJLqDvuyZRJhvfkh4\n+V3cs19WEJIz6c1LyuuP8Vxz+Uc/4Cf/a2Zjwie2Z9SJkFuiSwRTSAdEhCiZ93JGIvB61dHowPl8\nZDol8J2kLlTPZaGQJaHm2S8ZxYLSLOBYEYo0rPOR5A0otAvF5MXTusSkVOouKatRKFrXMQpYbnAG\nwReCL8Ts6JqRnDyQcT7Bsk0l105PTA3rRW9uZvSaic4TcnWWtVDQIuQIz/iAcyADlMt3+FEpvrou\nXNzNUAwrwhVP8X5G1hPb29+O4VrBFpszvW/kC4usD0NRmqWQmkVoFreLUMrC7hkOrQBYqpa3oTKt\neQFqQtXeZoHeQKTcp+fdAUV1GRQspCL3w1r9AoyUguKYSwW21RauAqqEsNL6HbLTmq62MMcbjL3V\npLusiwJLFxnEfV51dauIJxcOEdwpaW5pzQt1e066WQWcM4KddM3V5aIX7rtcK5vYusBPEjx79lP+\n6hcb/sU/fb/s9EWmhcBK+P53ZKHwFyGwqxoVH40/+4OBv/zbLVlqEJqUgkn1Uq6FQKIFRmrISRRl\nJYVSqtWcLW4hZUmChFOxUQuUhOKXoVlVOTVfyFIBbDZIVlCrzh1xYX9hCfHBOC6x3H6R3NSQ58Ul\n4z54h3t8A7ULIZbxDqLpvUOHUK9kox6nftnfBY9K1cE3JTNKITiho7DRsjDsGYcQi4HlpRBz1N8W\nyjensPj1Asi9eKLL5GUKvfdrtrbn0+BJfcchHXkvipbFjjpDjMpm7ZDZaErDNUaWNbupMpOUW7AW\nc56bYLixMpgrU/a54ctZaJznuS8MRNZD4LJJvOjgriQ+7Se66Om3mf/2VWCez/lqTHzLZTY+0LmG\nH6Rbht5xjfE5niep4PaJ7BqusuPQwAs3412mjxHvPXd4fpkaotWrT6Ve1GsHvSXMN6hkVuaZZOQO\nT8DztrRkMo0Jlg1vwu0QuXCr6qlocKCrQvcu8j71fMfdoLqhuA7WjvMhMZ1lviqOY4k0s9DGkRQd\nj5p65ah4vCmu8XyZJnoC5Mx+rkbdagPrJKhlNhwItOSY2OdCzIlVcDQSySVzDGukDDjn2Irj1bTj\nqBu2LtOb46WOBIFUEuNY8G1PJvHDdaRr1hxmOKaRXmemXNhidFn5+aHhB+sb2mHF398KL9aO1crY\nWOaiTWwzHAvMZH7nrHAY4EkvvN1PePO04pjSni/CGrIxdE94WwolRSSfY43jJ/uEtQ04GC2SBmBX\n8F3Hfjaa4iFc0kRj1IQfWjbNlo3U5MHoM+sCx1N26G/B8rZd0xahQ7hrO0SER/NYo1edEqx5kEmE\nHmmNd23D8/3IJlcV5M/OWn6w33G+hxgUlujpVRpoTREbGTTw7FBB9LND5N3W8zu7mTebgLtvwBY6\na0BhzE0F1MCbjaMZjE4c6gaGXBnitgTUNfT+SPYw27z4b1Ye5Qd3gS+2sd6wS4OqctcUJG5o8oMM\ngXCkTatF3xe4khYJwsrPlCK02aOmnBICHpUBW0Szt27Du954sYeyDZRd3eaZhn/5j97SXL9kevKc\n3/2jROqfofILkm0oukXlDdk2EAR98ykPRrUTwQn27R1/+Pv/mv/x//gPcHmsykKr+zZkT1x6t7Nb\ns50ONK3RmLEtkRI7jlL4dqxezK/cmnU1tmWfBRVj9JBLA1ZwS8v24FY4SZRSZROjbzhLIydTJ1XP\nhJCLRzGmJtCkGsKh4ghWgdWdF0KpvhEjgmnmGLs6me7q+eRjPY4pGOPU1t8X2JeOxtdza05NDalB\nyP17xDm6uzUlj1VjGVosjmTpyS4hJoivW+vdwOP5Qx0cOhjO/XZ0fpol/KSYscEQqtVa5e5O9m4L\ns2x2b4Pm3INuuQfiAqK99/iysJxWOWknAqb38ctm1V3hgygNSziJLM4WJ0BVDNEH/elgi4sEdu+y\noItXsae+v1mcJYQ6U7BzQpcXQezCTp9szUy+JrmhykKU6rrRLlKNpIu0Qln20fKFxTCrGl7F1VAQ\nqIl6+cSGe77/jz/nY/U8ShP/3u+MNfki2sN0nbH8zIPOxGTRFhihhfh0T/t3T++Z3KTV9kx4cL0Y\nreqCgwrZqiTGeaEUu0+kVJXFdpIav43da5b9MkALD77L+rVNOh1/lp/ldBwBMNSqHaKTur6DVcu9\nQLViq0RALSamr0md5iVmOoiRlxAaahOS+0gXETjZ5Fmq50AwLFWZS6dGSkbvhWjVF9ovwTV9SRQK\ns9bS75uMHPi1AshrNyJUe5hoQmTgCHxZJi5iBhxmM6sCU2v0NtKEQFMCcxOZ546beKBLIyoNR21x\nXrmd9nzUTjx3njEb65Ui5cCt7TFZc5CZkjJPQuFDEabS4XYjZ/2a9xPkkLmUNd9p4Ek38km754t5\nxb85ODIj72Pg6QS/vy2cmfDjXca8sraJZ05Ik9L1hU2ZSM5zFQcGtyIPAxMBU0djmbV3BCs4gX6e\nMRP2ZUS8w1smSrlvVWYcsrRdnAof0oyn0CE80oQjcTgGLpn4GOjLDV0+kKW+qrGJj6WCPsuClsSk\nB8Zjw9AIzVgYTTibhZVv6JvEdXRsXGSN5ytXLZg+zIaZgzRxgef7TeLusOdcV/xsOvCiWbHOt5gK\nN3nieqi6ta07YmPm3GXEO0oIzPtI0si2THyksA1H2maH64XWLngdG96i3MwtP56EAzN/cfeCT8+N\nOYE1DnUJKQ2vD5kYwJWJi2biMMNBlPdTR3GwkcLzzvMuwiOp8o6VK4zOMAu0cuB5UdariS+t4+dH\nR8nCuRVeNsKdzBxdIbtE1Ezfr5k0cyl3XGKkVOOPc458lVv87vYf9uL6BpfzUrWrvhjCiq82gUfz\nyCQt3kbO2bOjr/6eJfNyB0XGJeDjAtOJ50PiTiq4Jre83NV1FxE+bNfEEqslkQjPj6m2Q7Xh7WYi\naHMfG/tsH3m3PmBmfPdYeLNe9LzquSx1pW8k0PtIdh6TkxZZ6iS3KUhALKIIr84z/bhm7hNzn2hL\nBdCzj8v74Plh4q3fMsmICLzpAabKjk0rLvIdr1eeF4fIm82i2NtP+NLz5Vnh5fG2mpdqHVz95WrF\nv/qDyPoP/gfovwX2c0rMxLcf48jMrz5i5XbMzZGSnuH824qJFxRiGiv//fwXyM9eUv7kDedlwp2i\n00TAG1euo+XUZjXetx0BaE4x37Jh9p67JQjmMh6XAA2jc4WmuCUO/MDozznmhkd2jS16zlD8r7j0\nz1r3dW+BUArRJ5ocCEdDRMEKqokpe5IJfa6JaONCgYkIrWQmqUFCfVEmD2RlzLAKdY49e+EszdWt\nx2fWesA21/U8GJ+SxszbzTVPDxskC2oCeV1b6SJ82O55fAhgDW6uw18ZSH3GHX87CtsTK1f1um5p\ni1cGsFClC5jQCswYTh6ijjs5Dd1VhlGAbpEWwDLIp0oqhnxNBuClFkHrUqULJzeFssg3jDprXpZi\n+uRlC1W/GnTRn/KAeFqqLdgpjjkvDPAsddsro1lff3J58FK9iL06dJECbuqGY1TnBO9ssVuz+whk\nwYiqNXlw0bluMDZWnS/+yZ/9nJL36NrX9d2LbU9xdffo8gFpCg+AWYCYITs+kSM/kSq/PIHITqv7\nyLgMsJXlWORitFpNEWdRNmoPqYYKYvX/sixR4lL3segS4WxVplplKtzve8MoC/3a6OKYsbDxyYRG\nAZOFba6s8h01sbc/FcMLq99L/ZJpYfgHgzWZQau3uspJv1zPixlodSmCVUkF5qx4tSXxr+JCs1rc\nBKux3p0ae63FS4vRUPgmez6/VgA5WUeUA74IDZ7eCUx6XeEAACAASURBVLH0BCLzPGMuUHLmZwUs\nOcw69jMMeUZCgzllYx3fCpFvA5siHJ0ifsuM8ctDxLxnTlAksI9G8ImnbWBsPF9EzxWZJ5b49krY\nxcLP3Jo0GrvbmZIhHozgzmi1oApnxXGVMyKRvzw6zhjYIOhc2EmiqGealZyMrIaUib5xKEd0CsgS\nwhHVcZtn1rMRWk8vUJwjI+xnQ8uMV0HmyL51NHiSFbx6tBRWZJwXRlGaqDzSwFO/I8QjyY6UZIyt\nQ3zDioHRGSW3/DI3jFZ4l5SYz7CijGO9xdic0H5iZcrVHp41PYd5T2+JFwF83nFZPMc5sQ4ep0fi\noJTsuZqFaW64LTMmntQEVjnjPfRtwyYlbs8VSY5GhaYMzGHDGwv8zVG4LQf2csll8dVZwylnNmPt\nhj9eC+/yESvK05Xx/dbxoYOxtHw5ZLwl1Bm5rHFlJo4eJuO27Xg/1gStL8n8ZKq+if1q4I82jmly\n3N7c8GVe83nJ/KUzsL5O2FuimNBqJpqwz5ExKlEiWTyiO8yMV6VQ8Jg5PEbWM7REcvkmE+L/YZfZ\nVV/aJs9A4ePDXNPqUI5uTeP2tFTQenQr1I0Le2E0/oo5r8gI3jrQGWSkIBz6FZsRnu4rGM06c+x7\n+mng3WrF00O99ZkdcGJIaXmz3fBiFwGhSMKc8dEdZD3yblt9k+8HUGbYDFBcHQx1pf4MM+/Xq4fv\nt8r1IQc431FKQUu1IjIihvLsbkZMeXWW8DS0i+7tsJrJh4J6x7uzULWMgNBRnPHyIECLaC0Y/vnh\nc37ww3fIWYf5j4hfPMN7DxZqe/LZZ+SvXpLyQBM9Yq9hhsnXP5jQlqb2Ng3KH/8IfvTPeJSOmFMO\ntNy5jrM4srWJsZzxZiu0Q18tHYBzGqKfgMiTJKzywC6cMXlHF3eLj2pArCAITQm008g5lT0vGNGl\n+85x3edCb4FshmgtdJoclhb9acpeyMkTltfvtqAH4UISt8vgYsn14biWVDWRCKmdcdOqesPqDEVJ\nYQFZWgHE9uYxoIzOkFDAwQ0O8cI2Z67O7zi/CdxsE0+HALkjMOJUmaSjsREZTzP0v/lLJ3WAbRTF\nW21D19NHawiFFRBjBrYYmcysilgdllMBNbn3AS5WwbVXqdfHYrNmKFmqjrlQ3x8ErNT1KyDq7jtM\nCaEXIVIwU5rlYq2NjkJBcJbvh81Mqq0ZVEeH01LZ63oNrpySa0YQHXXbJhHEEqaOvhizPkRBq9XX\niEAU/Vp4ptGQ7yULp5q0f3TNxy+uiSUT+kCN+5MHz8Ioi1ddLTruM6JkqTiQB6DMQsfSApktcBRH\nB9yx6GoXF4jZlIJDtFrieQqtZY6yJP+p4FkGIpd9cgLOXqqUAWrBoVRrtgpjTww7zFqBsiyDiafz\nZFHjIMIiR6nnwrpUW9kBuR+GbJf3DFXEQxHoLDOLw1PdOIQqqYGq6XalssK2dBuC5CrhWM63aEIo\ntvhSOwqFlav6Y6VGae9MSOjXk6n/fy+/VgA5O2PrHEcyd8WIZcVWMp3CeSnMJfK+BMbkqw1XyVhQ\nXBOQBHsZ8KnhJznwt2miy56nfuaPziaCO2PbCH04sCoDTrY4H/nvrp7xfx5K9bINCSuOt075uzhW\n43TbkJrMM1p8H2mAu9LQMCHOkVLkhW/Y68SYVtzNI9JDKRnveiwb6jK7onRWOJYNr4619akx04cJ\nr46cK1h25jgwg1fSODKHBj8ZsyQCjsaE7TSDTjz3HfvxFucCbZoJc2E7F1yZ6cj8dB5p1y30l7jg\nac0RJ+VOBiStiOlIKgEXR3KakXGgl47fCzNP2jtmS7yfJt5PTzjub/n2ec8kiV0KeOcYomKWKaHw\nPs6M6tFRyX4DacK3Z5hFRA40qcGCZxgnGDo+mw9cbBy7Y+RmUnzX8c827/njvudVW3CMvC6BEA58\nMfR0XcOHKbObRi6biflo3ErLOmW66cDvB3DiuXMzHw5KcS3ZRz4fE+o9OsMj7jgbhHeN8JQa7PC8\n6fj8+ob/+Z3jRs9Ae8ZkOA8kIdqMhlKtqkxwBa5joCAUndlk5UipXYCmoZBolva/zBljwlmi+Yb9\nGf8hl+ovGjn4/h4AFvWoLSzr/YNrTVgkd+tJ2XeF2dYUmtricwWRgDKzb3tUhHfbNY8PFbhdrzb0\nqfBh0/PsMHG12dTPz4XR15v4091IXu5iQ7vGqed4NnOk5cW+Mshvt+d0c+bQKkMj6MJTmUA/L9Pc\n8nArbFNkWPqaXYyMwdHlgmbHMfQc+oKocXTCH95e8cX5I9KitV1HYWh71kl4Et/xy/4ZAPv1w/67\nHI7sNitEhP+eH/Kv5D15/QnuS2i+/Qp7/T0mL4T/i7s36ZEmy9LznnMHG3wIj/Ebc2JWsauaPVdB\nDVIQBAKSuNSGICRopYV+gv6QVhK04EIrghQIdVFACyKb3c0im+xidVZlVn7zF5NPNtzhaHHNPb5i\nE9owgRruJsIjPCzMzK+ZnXvOe543DdicqZ6/Jr/5aNrnkdFWpPyYRl9jEELuMAj27UcYY+luv+Jf\nX36f37q/gdDQmMTaNyxSz5J7ZN+gObHIhUQhVljrww7qNFfnec84fS8qvG9K8+RJCtyaqkhrQo9L\nGZcqBvsQIDvAppIpJGcGZ6lzMfowKtiQ6WpLG5U0nes6BJxx7NXjpg2JlAaqMVfUJpCCYy7KjWbc\nJKc5QQlTV75PxXx3MBGItOKpx8B9WGEmDezWWC7vTsD3PNoWKokYITew289Y9IbIHJodOi7+f6+F\nX5URRI4ZyCJTLcgtmXSpcdKwOinqgEihD9SUrKxTMCZTT5LevRQXUmHiFR8wBHrI8BYN8sGJUEwx\nHxGBrRx0zUzUiqkdVyF80JzWUSp2cdpnpozoIUP4oSSgkISnwFkTjRQ5RRRTmuuk/B+jyo2zPNbI\nqAcJgOBEJuOQjJvOhXyw/U6FdkK43d1ecfnkFl88kx9OkjDZ5R13sHzNlBWDUNKmAkcIsAMks7uH\nU2O5FkONslfhJJfMakMqjW0HmQqlIiAfiG0r+3D+Do+aRJHFQLnX+YnR3E2UCDGFpX5YEEQpJ7qa\n/klSmRr6Dki+ckj+IK1mIqFI4RTnD3+GHDF5h89JtchGoPRcHXTTokXeoiIlYQiolAWYkYeFyWjK\nfrf2MIPL/syA+4knzYTy+6aGfIhi+kWP//nv/08ac5q8th3ZZvIQqFxmjqP2PSZCZ0b2fkEaIEww\nvZwnqLkprZOGjGYHOWGkXCiPpee8yZxaoRLleeP4o/uKFyZgkqWeLH4sHrVQ5455PcPlzOXcEW0J\n5m5NwZ5VxvDIKp0q5xKxHsbk2Ea4zY5ndiBWnkXe83G2vAmB31r1vBwb/g1njEGxGpnLITNpWHcD\ntTG0ElExbEwpM3ZJsaamJRMksUiGUy+I89z3I1VVrLCj84i15KB0+w2VeGYuk5PSeDijoteeGDM+\nRR7VmbTbstCOrDXXfWQtYFNNyAMO4Twn4sKiMXHmMqe1oR+UPkfWkrnuZ+zvO54vTSnbWMvX+8jc\nJBonPK8MViNeDGJGauvooxJtS5eVkBPbZHgdLKbypTN4n1nKntPZnJ/uepCRS+fwJHpbY0PiXbAM\nVYXLFdH0aK5YugQpE1wxGDBhRMdEiD0hzRDbMZgzhJEhzUhxj2s8g4xUWkDov1ErXhNDIetxm4ul\n+Mf1yLx24Cx3u5EKT5AdrfUMg9CJIUtk3rZ06y0/5YSXXcENfacN/IN//H9/g2vbX9z4X/67/147\nLBes2VMCq34q3Q+ziroLjLMKvxvoW0vbl1vn0JTANJuE6IcsnoSIY9kH1rMKyRFRy1QoBEDEofrX\nUXk64ckOv9/ainkcEHFTOjFMysMD3TVP+ZMyDqq8vWmYTfpoJZFyxVA75rHj0NGipA8emhbViKE0\n3loz0u4z3cxMP3NUNpFRln1gW/88DWE5Rk7jHU+y4TeX7zk5mbP99sjJ4g1JHpFSovroDSEG7JtP\nEFM475gaJDwct4I8+pL++jfwqWSlRxr4ozX/6/6UZTbEfsnQZshKNTjGqXPOMR4RUOngGGf743mt\nxp9f1B01hfpgsQt6LLUftKflvD4Mp/pgHQ3HYCqKkKzgY2I+wmbS6dc5oSqM1lAlLRk6QLNMisqH\nfZlLxOmD99gwacqNMVQ5loevCIOR4zmrUj7qT4cM1byEXPa+zOUDQMFMW/3Df/KDX/nr9o//h/9W\nvVIcAw+LmA/knzJ9zZnJuKKMA/FiidJ98Kn66XMPUgJk1ZIxtPogiYgiR97uh+OgfT383imMU2m+\nNsVuWsUwUhbjovkYTDG9LtsxR5au1UzEMJMiNwjT+63m49UeprvAgGARHJkOoZ1+ZqTcI6yWJLD8\nh7tuJrpHo1SLd3z72YbKKlJp6UqcqjhELRqFgxC7wDw+GFKkFY3laKNnLP/PX84xXz4mWFskJuiE\nx3vQDn9o9czx2KdfwTHoP+7y9DJmPTYfCg/bOHwWh78/7qFwZFvD1Pw3vX9BoVLcGXN0TSTnAlOc\nUIIHOU3AlOoED/eGDsFoPv6/NEl/jAiVFFMVI8Wg5HBPEThmxkUe5uUhCx2m14f58D/+7//oG7lm\nf6kyyLuQOADlE0WUbVVwybG0AwtAnCNHZRsiVbbsTKbNIzY51Do0FR/xJBaVjDOZbEugvMHgQsVF\nHgji+Ye7AScLXEqllGQtZFAjSE501PRDwFSGOMDcV8xc6bRPpmZQeKM9cyqa1lDRcqeK+sxVFIxr\naEzHEIUfGYvain+6XRR/eh1ZUJoRR6kIQ6bVzBNTsbN7+mTYRshqyDFwWQV+d5a52UbuJ+xK6AMn\nVnDjlm+7QHA1QVvuq5Y8jmTtudlAMJbRCFYzu7rGE1hERxf3fGWEfR/RqOx0YElNpfdcLBwncUei\n5uUgzKQ0AJ4vIl/eG7I0fL1RmrpCcFStgdmMhSYkB7536ZjPaohKGEZcWyNj5G0wdHuHaRJz9XiK\nacuigctxYO5hazPBG3I3IyfhkxNPMjMY42RNuqdrZ3w2KDElnjXv6NyCqDsWmhlUqfIW1BMchEYY\nyazHkSHVwJ7TuGFd7QkjPGsNmveIr7iPjk2wvFZ4s+7JZsWNFo1kM3hMMOwlIW5FEoNTT27n1LlH\nU4vmwNALOS+Zhcwmj2hUhtjwD36hV9c3N2bsyPaUWx7RN5HH/Z6BOX1TbnnDrATCYdHQ7vVYVq8H\nZWhLtvayv+d9WwwdVG3JLLW+oKDEgkCzE4aFodoZhjlTe00p49a7h/0Z55lqB8O8LK5wFsXQ7DJD\nW3R5SpHTJHnQ3eX0QaClA/e+ZZE7jFQstoqtSiYbq4haTvrEpnHUUwpLxVNLYNt6Fp2CE3SYWJ0k\nCLCSNS4PbM0Fyz4zqGdslc3M8NFNYjF/R6QiL16Swpx4u4SLE9zv/BGJkq3B+0JYePGU0Ql18ORJ\n86yquDffpnn2BeHFU/zzl9QpId9/ysf/eGSwJ2B6RrNkprfs5ivAMMt3iMLWnbJMd2y1ohossGCs\nSxYneDhNI7cuIrmdJDXgvCXGElJnaxlKnphF6mhCoqssagwmffDknobYyGhqliHROkPuI6Zy4CNn\nQQmmmMpYpCQscvogOFJy3SPBYV2ijgVq68nHYKYBHD0xeZyORKlwjPhcsbH2uCtRSsBsjCVv52SB\n4DPzUOZeNqkE5L8mDphGSma3lL+VnTH4D4OtabjDtUIJRA5otpHy9/64oCrNZLVybJetKCYgFSUI\nqvXB6jlpydTywXsPzWOGyWlvCgi9FGKTpcSXlXBsQhsmugYUE4x2Yh8EAwHFTZKQ2RT8DqbIDw6B\n02HRc9C9WsqztDoeVQkMRZWZwP7wO1Vmqrx3mcZtAcv7vuKkUpYHw53jmZhWIapTR9uUVj9EuToF\n0OMkzcgKIfK3P9rwgxePqE2xcI5T071MS3o3LUqOiepDw5twXOhWUgxSGi127nkKmGsLIelRIlNJ\n0XCP0+JkNqUPDkvNkukt2/TTd9EACBsVrIMTMhsmx0VTVhRljTC9ns5vM2WFx6kq0VD06Ycgt8g4\niu10QnBSXPQskA4JUKAy+tB7MS3mPCUjLtOctZoZvsGw9pcqQEYDlZ20Z7l86FahS4Gf5sQsjjRu\nhveBNmasGhqTSklfdGr6sMWlJWWccxwaZq21jFS8Zst/NWtY1O/5lAtuujv+KjR8NYBMsHljMkyB\nuqjBjoa1HdmnzKpqSbYmpBGbPedS4U3ifl/zdL5hJjOMCzTe08dMbxfMZyNZHDkp22A5cSN2FBoR\n1AhNv+U5js1SGXvBjZYblE9yh5HMzCRyyry5gxOz5mmleBz9XvjB1oJdsumueeICVbUgbN5iNfNe\nTnms7+HkDDp4vDzn9bvXGDfQ+SW31nGelZlTbvKMxwyczkfavOAdymNfMdLx23PLYrHg5fuBlCJP\n5xUu9zx1A9nWNLrj6rzltr8jDJnKKG52ziZkmnqk8jXdqIyNo+9mjLMtZ3lVGg0kIxpJ2TD4mhf9\nlme1wVOxWpRmN+9G7vuGzmRevYc3PvFJE+jHwDvZ8Z3LOdd3yp+tK16GjMQeby7JbBiZMRrDDIuP\niq9H4jDjjcwR6UjRcd6PbN0FLmc0DmRv0Dindi0pZS6q4qzXkzC15YoKiUowEYJnOewZyVTNmo+M\n512MvM0jn1SnfJXKjWybfj1wUQDR1rTSE6n5/H7DP794xke7nrokHxlmiXpfeLd5ikazFivhui83\n3Y2cHt9/SIWIPEDtoZQAr82M56an7hUzMZezKK+WpXj4fNcf34MkrqWUxJ/ue07clrthyev5jKf7\nHvC8mDU83Xe8mbU87vfIBxmXk9nAnZvzeDfSLRLt1tAvLL4HmwtlohkEMRBMIci09AxDRZjQaKVa\nNen+VFjrCuMNflBaWROkZuNafu/6a0I1Y5YF6sCb1TNMcLj1Gcvdn3O//T4rew9phv7hD0nvznDP\nXuBfPi8PcBHc05eQM+H1c8yrZ1hrSCEgP35C/xK+Xj1nFd8hCo9CkQhFX056O3qu6wWoEm0NUuOl\nNLYN9pRFumNrT1HZsRTDe+uZ27IqGXKNuqZUlwfLY3vDLq6YVwathFhlbIRlLkg/FUHr8nntxmVZ\neITEHiXPKiKe0xR5v2g47fZ456jyFpM91hYuOYBXW3jS/h5hTjpgkpNgfTed/wRkmnZAsiI7Q9QK\ny8jplBYVycQp92WNILoHqhKETXjCYgqhqPnmmKq/yGEmCYFBGcVwTqYTOS4YmqmMbuQhKFAtQdHh\nkmyOGtqHcWiWO4w8ZWkP5fFx+gMvekQkdlP53TIxrKdtKsVF0Ux2zjppdR1KnJ7j7WSJfTwuMkYy\nGcsqK/dSGsTMtH1LWSCDMJ+0yBahngKw8n+LHheKwYhRnebFZBiCYoywU+GSSF8JOMMsJrbJYYPF\ndpm6tSUYtjIJbdPUqGcOJ2vSJU8vDgLbUWF0/OzdkjNnIZcGyOJ+p5hpTw+0kYeYRn5O8384lTXK\nXJSchDzN316F6nDAIsRJ7pJNsXa2066ZKchfCPQH87Ii/i+JcdWf2+2nktkiBamnxYHXk49rgWyK\nLX3Wsp1D1SKqHNPbnoRoxhlhRHFqSu8C4Kb0uFAQe6qTNCQn1CheS+b6MEYBK9+cuc8vVYC8cErO\nsTiYTWu9LGniAtZ01OxFcUn4PDueNYnTqmOtI3/aO9R4OhIRj3N20pyVzuucMw4l54p/eCvAFakS\nnDsjmUjVlBS+EY/oiJWit1MC5Fi4oViGYQAbWFUGZUOXWnrNSOx4PWa0iZggbPIGXE3cRvqQ0LAm\nJMNVjCyqkU9ay7fnI4bExkQGP/Kkv+BkNrB1Fbux54tY83rw3OVMcpY8DAzqqe5rMFv+1jLx+7Uw\nJsclPfPlGS92HXm0XJ0a/s7qmttxzv3mltniMT95/1dcrZaEAZ7P1nyfkX30wJ7QzzltAiEKjxcz\ntvkOYxz3nfDVzUivW56dzzi3A8u6LzMnZLCBPlquB8WKQxrPdQC33fJmUO6HmpN5xxmeU4UTM7Id\nLLexh7kiMZOzcjuOYKHSGcum5u3NHX+8uwc9wciMxdhTGeFvNMLvzCpeDpGqEmR/wv/xReGeepf4\nnk34umOdlbdjhnFkWQ/sElx6x8woaRb5FgMnTnFimVc1yzSgukEqRzSBbJZ0Xcc4jgSXiEnweDp1\nnDggKtuc2RrLGCLBFpJu7nY8ouURiVe7N5xay0nV8u3m1ydA/mLxjIv1jlV9izGTy1XOvFsuuFjv\nWNsFl9qTs/L+dEHSzJN1R1Tl3Wo+Ze4MkpWL9Y63p3Oe3O95fdLyaL1/eI+CiJLzw9892u15sWi5\n7Mv57DyA8nbeTtrHEri+nbfofeb1SVtIE4vSbCkI7+czjCrvFnNEhKebPa/m7bG54+1yTs6J+1Mp\nGt/F1EySHxrMZHoyvbYzHt3tSKpcn8zLPWu68V/d73i/nHOxLtzhW10CmYv1jhfVOU/sG8b9hnR+\ny/OfnPPaCpv8lmpWMbQb7tsVQ3WB/VePOe9/Qp7t4dkr8qsneGlAle2738O4JdmWLIrcfMzsb/2/\nfPGDM574jjHPUD8wVJkqOLZxxbN4iypc9tsJuZToG9jaUxrTcxLvj/XQO3vGIt1xwZrQr6iaDWZo\noN2gWha7IzVadQQR/H6O2oQZLXfVpCEeKshF/zvWiar39OIZnXIZ16jusVQ87neIEazpaVXAxilz\nWGg9kiZXM11iTEd2I4vQIE4xqSrGBZUltx1ZCymjckJFJCH0pkZjoooBZwayZnJusTJpLXMmUcxg\nTG4JjPwHtfFf2dFOFf8qJ7rJMKISJR0ysqrUUynfoZgMwU54tSnTbEwp4YuUgHoQwWqxQ7ZT2d5Q\nrtvKTAGqFjrEgtIYB8XQIk8OdSpFInAwnFApqD8zBbGqJTAUU7KT3ghelF0uMslyJOaorb6QQrao\ns9JOshCRch8ZtQTmF5InmUUJNpVybDBZW0/HaCiZVSjvaaWYXeUAtRl40zc0WvEqK87tuZDMogkP\nJatkYcITYvUB3VAzpei1bHku4DNf/es5J6RpZ8r1XGUhSSFH6CE4NYJqLvsJ1IaCowNGNXiKy2BJ\nZD8cC7lk9Euz48SkhikQL01+KZdqHqJUHCgf5XOdSaEMGRJZy32/U8WZEpAfwZsqNBNbOfOwHhCU\nmozaMl+2lIbIg8ZdVXEYxOg076AmEzOssdTkYi0/kb5SFjrjjzi6NFmZH6oe38T4pQqQI5aPnHDu\nAqc5MtpMNxj2KJXZ8aiqeVp3NDYwkzUyicV6XXEhA68jvIzKV0nBFJC8UTDGgymlt5wzkUROFSZl\nxnSPMRXJOgwRa3NpGJBASglvK8TVKAFniubKiwFjmFnL2xiZRcHaUrBxYU0YHKYfmdktV1Y5lczc\nBT6dwSiRWSNUJlPbBS93jmQ8W3vOT8aBeFejONYjjOqpjaFJYM3IBseKDLKncw2vx8AfLJU+Zv70\nref8dstVs+Lbf6Nh6Da82cLNds2zpacbXvL50jHmgZUdqXKDiuHCZgazwtuO2xF66/ir65FXnWW0\nLavgWJ0bfrLt+YvdQGSFVIETtySlAGnL77aBxemS7SDsug51hse1UhnDPO1o7IJkDF/sKkLccCVg\nUqbfnHKxUE7bgd95YthuMz9dj4y7Lc/twCdLi20jQyiIrutN4tXOkHv42GWsj4WD7QIrPH98u+Un\nY+KycTyqBi6zsjgxhSVUO66Hgeu4xJhMFxw7VYZUYXwmkQjpCmuVbFJp9oo1JsHKjFT2hC4liCNG\naoIo/WCZVwEZa3YuwXqgqRzDbseZ8fzMWoYu0BP4RzLnv/nFXl7f2Pj9+58BMMSRV7MLfv/2a142\nC/7g/mcEF6j6S7SGOBq+d/sVX9tLEGFoEqehNIZVncE3iWCEVTfi68Rq3DA2ltVwWEwo9VAyIyfj\nDrLSW895H1D1mAkjdh577us5q2575J6qKuOsBLMYy2lXaAwqcFuXLPNZtwWUnfVl+zBtZ3Pcxm09\n43zcs/VzLjcdfZNpeuHt6YLHk4lEtpbKjzwNG9LoMb5IEaSCZ+MGmrJP57cDr9oW3yRiL9zZS6Lp\nqDZL3i1vMOsl3VDz6vaCs/qa+c8qlt/5AsYKskPHE6TP0J6Rf/MHmLsrjCwx7i3kx4i8Rgxs/uIp\nHz1v+OKFKQ/r3lO7gdftkuf7O/7lxXMu1uV4P433YAxXw6RZkUIT2DaWVnv6qc1na09pFz1bzmgW\nHaqnAPid4915zaPrgWGWGafAeVsnKmqqweKbNc0wZRpTZCtFWrMwW0zy5QlpFGMLwtJrIjOZRFjB\nJKFRKU2d2WFtj6IsQsXoI5JrshQ5zCiBpiuLIeY92Wa0GVAF1wWMOkY7EWUsZBI2A4xE0xIN1LFC\ngb3zP9eo9as8PAkUohHaqZzttTimRQAxx4atpEq2xUlyPuHBAPZqmJlMUhBrJiezXOSMk4mIo9AI\n0CLnCMjR+tfwkI2ubdEf56mkvpyC4UYeGLex7FahGWjJJh+0wXNX0ILAMRATe1joFKzcVgVjhJkW\nucVMmJCBJVNea5q2aY5BVZ6CeyhB1wZDm4sDYbHiNtTZFmv5MbPLCZMrbscl4jfUzuBNhlw0tDaa\nD1AQGXx+iMZ5kF3sNo6ry4Hwdl4aXJmS0KZkbluUg9KoOA4+SFbMBL1UnRwDpyyzANXUOGtMwb5N\ne0FFabRsUGIu7ngmZ/Lkplh402kKcPUoc7LT52ukZIoH0Sl5WDo9aiBKJospkh4yagq67hgNa2bE\n4qckg0Uny3GllnTkdWcROi337IPbXoGFTFQSmYgcWpwVBWiwfJOX7C9VgCzGcZOUe2lwMiLZcKKJ\nzxcJjSXQ+OG65ro23I4rBiIRA+rQPBbxdkwFPG4G3AjRJlCHiJIsmJAxRqlNoMux6BHzgIYewZII\nxd1GWrwoIUYWztKbDJp5LoW1+1m/R/yS/9K/R4Bw3gAAIABJREFUZNUYFr40QNTjhtRY7LmlMUAl\nBDnlJsBf3Ruu9ZS4yaQMo6nZEvEpYTXTGuFelVETn/nI332acWTerw1bHRjaHWeiDNvAqlGakwX/\n7KXjVNb87YsWpCOmGzbbtpRTomG+VG6CxckAaljMM7c3grpI65TOt+z3HXcdnD5+ymLYUcnIkzaT\noiHKSCOGzy+Fbr2l9w0Wz0pfQzWj18T1xvLT+xd4Vngi+3Gg80IjltVix3m14Hqz40q3rKNn1J7V\nvKUPW7z3pH7Nn7w+4340nC8qvtzu6NRzWhvYJVqXScbhUS5WlhcD7LNBuw7bFtTfoCPfWgm/ibCt\n5+wHh1bK1inr7GkZaKo5+Jpa9sxnlrMorAcDGjGVYLqeIU6UBhOJmtmK43UfcK7DS81CHOfOcNcP\nbFPP1xsDkjDJo2pJ+56cDW/ySNZyk28kIOHX40ELEP0DS1hEeN0sueo73s5WXKwHZClcdGuoemKc\n8TjdAfAyn+In8sClfc0NV1QNVLlDxDITJURLa6dgJ9YcevlcOjTNKMEmquRK0KgF/bTsBlQP7UGB\n2WjZecNqCCzMmpBLRWgwwqN9CQYfhTVv3RnRRlQElywn/Vi2o2BM5Kofed/Oebrpsc2IDBVPxp5q\nyJxqCfZvfcvluhxXqnbcmRKAz8bmGGCpKq+Wno/2HW9bR9XA2XokuTn7NFJtz2gMSD1gltcMJ0+Z\nbZSQBZsz92aOZc3i311S/e6PSH/5PbYnj7H2DSnOafRl0X+Gnmqp/JtXe06s4T4XSsMQa0SEV/6c\nq213RGS9sKd8nG/Jx+660uC2HArSbak7VD2ztGdTm4es86SP8W3H0x5cW8rlvWtwac/rxRWL6y1V\ns2Frz8nNHXvmBIVFgqrdlhnkE8YY2pRYGUgpsssVte2QVOPiQbcYy4PbhcJq1Rk7LJIilp6OCek3\nWIbmtlQg9p6QG2TXElBamagdzpJDqQqKs0iYqgI6krIHRrKpMPrNIqN+kSNNwZWdsm0F4SVH842S\na8qTfrTYKMOEcTuU8ScEgzMQNSFS3CdL+X2a/2Kx088MDyCHQ/BW9LJFCyxT1tFQJJWDKQ1zlSvm\nI0xkGQHspEGuyIziSpAuk3SEh+wlQOWEMSneQqWRXmzpK9J0zAhnLcg7gBnpg/n/0NiWFZZA5wxN\nzrhpgT3kCpMc3mQGC5YRa7X0OymkWCQaOVtSzEUSYGJJnfspi3yIaKW8np8E3v9wTkvCTRl+Zx7O\nm9OHxYVQNNWHMNtokX0lVZwcZBg64RkPkgg5dp/WOU6a63KgjbNkVbwVZIqJBhwixbHQUfB/h/PS\nasSYYrDirBCz4rMwTqYqiNBMKEEhU4kWZ0MsOpmVFDlHOYIDIzkDo7pJWw2VQneQq5ninCfTeRn1\n4KTI0TSmzIVvtubzSxUgh34gGkuOAWMcqzSyEeEvd+Ctoc9wnwy7XQGIRCksYjTDJKMwxgDFHckq\nkAq6BaOgqfiXJ0VjOpaWgKlReuqWTmD1lo/qlo0NJAbOxbCNA2+zA4n8TBviAHW8pKocxo8EMvN8\nhaSI954nPpGJbGJF0g1BW/Y5I9biE2jaMnMVXSqcVWxmZiOXQ6aa1/yfP+247ZVzC41ZM68Mm9xw\nYRL7EOk3PY/sHGsrNv09y8UZGKV1k0/8WU03GNQPdENGtWN7Lyxr8MazCTVxt2O0DYsqsb15zWy6\nMT6vldmq54tbw8ubiA0N6+aMzd2el6NniWWuWz47rfhq3eFU+dZV4twX4oZgCWlDnZfsd7ecLxz1\nfEbLyNt7y/tRsVZ4fReozCnJCq3Z4XXFRVPRB/iqN9SmAa2Rcct69DytAydGObOGHZYqDPRNRRqF\nVbvi5e2eV7GnCZ66rqnGgSYrgzourOXluOFNP/B544jVkkc+8OPtLYwznFWy82wTyBBJzpCycml9\nMV1IAzYabsctVTI8tZlPJwMJ1YKCc05wUugA+yFz0lhcDPhfHwwyEmpCtceOLRexBJuKcN5tUQ8X\nfSg3/tAy0OBMCXifDvdslzPO7gZGN+NqGI6Z2s5kuvOa1XaPcQMvn/0Gj3/2JW8+/pRnL39EGic3\nODOwnp9wP3/E47fXiAhvrs6xgH//mnD5BChZloPkrhfl6s0NAO+uLomaePbyR7yrTjnNFfc5cErF\nu6tTLHD59pZ7CZzmGaKJ812kqyOnXcdda9nbJfePntC9e8PeWpqLS768TIitQAfyu6/5pN/wqmn5\nZFcMYjIlC3Ll1sg4J4/CTz//NuHlj5h1UH0WGYYNfjMnhwVnX26Qqzu6tOB0s6OywnzccfcJnDxL\nmHce2dWkk4sy1+7n8PyOuL2kvf2ST57P+ffv5gUVlTyRgeUYcVG5Xsw523WYYLk5qXnNCUGUJ/s1\n0Y/c2Used2vSVOr+08uPuFzv+Gy8JbryYF5NVIqc/c9px6shApbP72/K0yV5FnGLTSNvLs95tr2G\nFmbRYlDUGLJJjM2WPiZGmWHcLS7MsRJQLaX0DEXLOT0RtzKScdgMxlgMPQ2Knvawq7GmoifhC3oA\ncRDHCwC6ic6TRahCxdYI9eS0KG5kjCU4FlMyrL8Ow1Esh/OUeUMOUoJi+HAkIojgH2IpRpTKlMav\nVpn09SWTV5Gn+C4zo5AHwsRDyTo1xMKDqzJFj1oclh+yh1K+ofrgXFuRoxlQJSU6zJM0YOoHw4jB\n6lFYPi1qhawZ6ya+8ZTFFIQLK4xqqCna3C4rzjgkJ7ZRMCYxMxX76RnopSDjogS8MaDCCUKfDffZ\nEnwq/19gTEIXDMOYMZVj10OOJXvqvOA9HK2n3fQ1H74X6CPPnmzIby9Ik6xoTMpKlHstn9FoDIES\nfCoF/zbm0pORxWBU0MnreT7JJHqU2dTcd1jsJTFk5Hi+D5IFKOYsUDByfVbOtDRAFhfFUgUyUq6N\nmhJ3qZR50UwZfItM9tgwYhm0BLw5TVlxASdKc6CISC421KY0V8ZJs23IiJZKRqVK1jJ3ehy16JGz\n7CSXZ7wY8gG38Q2NX6oAOWfFxohzIz4UwX1OBVG2ML48CGScdDnlxEnMJDMWfSCg0009qRS+oVG8\nRgrHX6bJVygZVi1mep3loRNatHywXwxT1zaJnQVVg5WEMRY0YiUSgXEc8UNhNG7dgEWQPDKMoMaR\nJZPGCusG6lFxxpK1I7kWqz3fbWs+XcH+bsM6epgZ7HDDsxo6L2xyy2NxhMHRNTDQ8D4oZjCczoU+\nGJ6eXrBLpakxDI4+JzZBeduteOx2bEMk+KbYVItgOniThdhFYjSEquaJDXRuT9x3/EjnfLkdeSob\nlqsT1gqqkatq5PFsZNZnrBuxeeC7q5pmdsLdbmATlJkXxAqbMOc2j8wqz6ubQP96zz5GqCraLDin\nrHsKocRYzMyS+xu2qSW38K2lYdf3zKoRkuPSB4KNqHVsk2FLZFkbzpIytp7zrLSnC9pxYO2UlDou\n2sRMPdfRchcLm7qxntEoftjSiuHTqiXGSMJRp1u8KquloGqQ0dKHwKJ1zKzSj5nkPJuQyLnCphGM\nsmwMYwwMfUac0IXMTlq+GmHrPGcfMnN+xYcK3PtLLvvx2BU++IDLmfVqSbvZHTOn4vpy06aUZS+7\nHmpoVBjqQ9YJbBpZrnu60wXgOLv/mnHlOF+/oFvMyc4hIVDtlO3yGRf3L4lteYCt9iUAP+97vjyW\nLzPL7Zuyv5roj5jfzGr/hlcffxdRuJWin74WYcqncfv0nMXmNSMD6/mjY/B3+eUXXGxLNeG/tv+c\ni2bG1zcds/Pf5aT7gn96PecPPnvM1d//QeHt/l+/xZf7PT+Wc1aifJTv+YoVl/YdKieE1/+OZ+49\nc5tw4x3L8ZThdANbxeQlcnOG1443J59Q9bcYZzn56hJjHXI2nd+1h/lQsoAvz0GV4Bac/N0f8+3/\n7ZI3cgnVkqTFQChnw8U6AAb1gbMucD1bYMXwbn7K+X2PLIW3s9Wx6eejfs0ghq/tOW9WM7539wLN\nFf/y8pI/uH7BUI3Uoyva68hfkyXsXOJd8zGX/S3BN/jQM1Y9VXIcUK5xOOE+a2lclh0bbRgoLl7z\nnGkZyZKx00NYqsDJ4EpGMltWZAaXaTYNg89kBtxsJG0qRgtJPTo14LWxpp8WbYMM1LmeTM9GJEJt\nHCF7vK7/0y+WX5LhZFowTjpSKKSVrLA0sNeHz60sp6a/M8VeuGLSAE8/r1CGSZNfyyGLXLSjBw6y\nmRJQglJJQbJVaEGCHcr9IlSHJl3NjFNWN2fFTgkr0UKWaKWQLmpJHJyldbKprkhTRliPASQCO0pm\nMZHZPHnJRoX9jeeTZ5ldr7Qvliy+teXjy3tQeP/1JeamYhxneEkM8xG/qzEu0qmnyZHaJpyMZB1x\nDlKGNiv70XAnll1QmkkaIhZqq9CbqSMxH0DUZSSZgmbHs0/W/MlNy+Pc4Mg4OyHTpCwsjOqRIuKR\note2TL8rMopibVMWlIV7bElatM69CGe5BKVWilSmBnaTTvvD4bMywxDNBNrImUYSUR7mQIeZFiql\nMS5P5T6ZkHJBhIpMnBzwaqNUky5GtZBkrOZprkyB7RSDlcWcPTordirF7ZGiiQ9T9UMVBgzRTBr2\nnydT/iePX6oAGQlYdWh09Cbhc6LKIGYkYkk54XNFrCxur1AnojYoAydBcTqyNQuUATHKldbYvGOP\nELsloS2Bsk2KOgOpCMBtlag10pk02aVa1AsmZvQgH0qprGKBIAlLwk9Bu5ILQ1GEOut0LRgER24D\nPkZaoAqenavw2lPh+ZbZ8ryquM/3/PjasnAVSQxjVMZYc532ON9y4fe82MxZzSJVyMSq43MPg6m5\nGxIR+GpQolZkTcxZk1PFT273xCax6Xsa7alvt/gVrPIcrwOf+pHV48See6JW7IZztFfenVzwmVeu\nXOQkBppZYN7s2e03LB7NcM2cVy8rkk2gDZVJPGlHXCxcarFztumOpCOXdoGXgccnln68w1MxYPFh\nz7o2fGdheLcbudNHGNfz+KrmVCClRFsb3tSG1s75crfnOow8n7XELYyxx9ua6/uKlyYxF+htz6qO\nnItyQo1UPUkM953BNj3ftzvG5LhbnRJ2O7qQuUueJ03GNYaw3zPWDZvgyvt0ZF5Zgq35skukEJgb\ncCFS14lRIwsdSDpjvUlY8SytY28iXSUsELypeSqG1/GvM3x/VUeDsBr3xEaOi0qDIU3BqWuX5EnT\nag4cJ4BcSm0AoWqp+sLt7STT2JKJ3FvDvCTl2RtllkoO79af0KRbtosFs2FP3xQd69nujlt/AsCX\nnzxltZn00dUpi7Gc884+3P2NMdg0MYSBk/VL1ifPOFm/ZKjKdtTI8W9P33/BV59+DsD6fMZ8u8UD\nq/Yt8tkZn3zUg/lnrN/8Bp/9q5c8/i/+An37LUZnmP/mO/Sl0Mx/g+8OP8F974bZvuX9n1lGm/h4\njMxzYDAZl4RON8y6Jf1iw9DdU9Ut/p3nhB+RLk7BN3SnA/vZRzy++lOqtx3Rt8heSPL4+HBJ6RHc\nw5O/d8qf//k5V7e3NCr0lR5Z0lVwaC6Pukfb7ogzUxFONyU8UpeQaLlb1rgqcxHfshwaXsyW7I3h\nD65fAHCdnvJMb/kXZ8/4z97/DGMMd41h1ZVMXJMsp/6OKpU5IR6qOEelEAUAkin5oJ1Aime0OhJt\nhRphY0CDJ8x31Klg4GbjwQLh50fGEtSi0tP3F7RTNtAcnFwozl31VMaOxh7lT0KN2g7MHnSO/Bot\nakUyXpRKJoIAZZ5bAC3mCofcmwVm06H3cGTdZgp/9lCt97Z8XysPJfhJNVBi5vIDRQhGjrxeMYff\nlUDITcHRKKZopSl0hcOwE8HAMPW2UTLSwofGIuCnbHKHOVofz4zQaaElNW3H00WETxyQOR8NX98Y\nFpd3hSVnhMtPX/Pl22csPbxrtvz2k1t+2s/p3pxQpcSNwD5HqgQ4i+QiN3AIMSkxG8KYyVXmcpap\nGyEcdABDKsGEm1YQH4KWRamaxN/57bfc/vATdlpij4ihnhrwkjwEsqqJfgrf3AfbOczYgocTamKp\nromwQrmb3jGKK0xjzYiUhkmrekSvYbTYc0+fx9wqKnkiyZf3tFM8lHIh9oxFiV4aJqfGznqS0WQt\nC6f/aP+cGJwWVnMlcpTLFGkN0zE+zNu6hG7lPVJc+qIUJOYg32yE/EsVILvJvllNLil6rTBuy3Nf\nISkRVTmvEme+2DhHjcwlkHygdZltNjTVrphqCFiNvB0d92pJNqAxYK1BXGKhhlWV+VjgzAuXvuO9\nVuxN5ss7YcDRVcIYIjotS7woJuu0+jVIygXe7wRJRd4xWMXGhMfi2FKP8FRKue/zOjDaHcOYuAuR\nzWbJX3QjtjVoSGSTy807CrWxXCznqCbW25GNGfny/gmjhXbn+bc28cR5+qoldrc0BJ6f1tjuDs2e\nbc5447kIO5o6QTKcny7xccePXr9ndnrCmWm4HhK7zciZT6h2NMbwW83I++4ebyM7mdF3yl7m1IsT\nkr1jtw20q4APNbUZkSoTZAkiBLMtJS4/49P5I3746gXZLPBjzWXjaek4qQNrbZmnPevkWNSWjy9v\nIDVkFEmRMTlm4Y75rGEmGx5XHUYt1g+8bWaY+0RqBvYhcd8Z3g/KbbTcyRztOxoX2Q4Vum+Y5Rsk\nzPmzeMkmB2bW0Kqj14R38H5Uwj6x1Mw+jYxRcU3H0hh8DDRZOXEd1DN2QRlrw7aLrK3lHXPG2IB0\nzKqGe3W86wYan1lYw0wGGutZmf/YneFXdFhHI6UrWQ3YyUYaoJmyuWJsKel9IOIUo4eCKtU4gjGI\nCLNSbKdvGi73Pe+ePUN2O/JsxnZXgirfCnmy6zYWXCgNcrPQY/YFT7aZGUJTmseMKtvLM5Y3NwWl\nRtHltddfs/fQjFtOt/ds5ivmYccsZEJd+J1WlftFcV5bDF8zD2UfFlGpreHVs2fcvfwul4/eojpg\n1LHUO77zOzOQO7INYBrENnz27T0/fjtw1a4Z3n2XWfi3bPMz9uJZ+Z7u9IbV7jPy2rAOjt35e5ZG\n2DhhftvTfaficnmKpJrcGhZSsfzNfwJ/8nv4z1/jJRNePcPLSwb7bDo/bwlpj758zH9+/Vf85exb\n2OGOVsuDRUTo6yI3Uz18IhEbBBGLZOiMpc2gopxte7KLSDhhd1LjyCxy4vV8yVm8Bht4WS/4w5sX\n9E1Z3fiY2U+ppjYUm+1maIh+JGhCswFRJGsxr0CJk8jRJei9Z1FyyKQqAJ5FyIzpHBjo6g3STxxt\n16EqqNrCPbceVVfMCmzAoGSpiJXQpJJt357ccLJ+RK33eF9NcwbUKtpkZjvlmL76NRgl4NSpEao0\nNbmDYn+6lg+x2zFIogSwh+Yupiy0oSykhEKzGKU0kSUEIw9BliMeTWRKMHio3nKURlRGj9g2Q6ai\nNAoeiQgcwA+lTO902l+RyfxCqYHAgya51nxsaIsKjSkSkNe355wt3kEKJd3aBD763vUE+J3uz9bz\n6dU9+/ct79s9+2jIu4SV0vCWUJocwXlyhCEZxGTqqddp00c+uUqczVOZUG3EWwMdhWphFMb0AIA+\nMvWkXJzRc9t2zIdZaZ4TJWlZHHgt7GDVsriZkYo0E0MQJv7KFIRKIU+IFIxbmu7QM1PoEofD3cmB\n1FFcLg/Z4YilJU3mVyXrP4rFMslaD6Yo08IlGqHJxddBKIG0lxIrOSmaY5sf2MfKhIemaKZrzdP+\nF0mVoxi/NZrpjeCnudnnoj+uD4kWCu2kUggf2Id/U+OXKkD2WRAbSSkhtojvB234Sa9ceM/TyrCs\nE+sk3NjytTVC7mGvDV1S8qiIGiIZK4aZwKXtEVdjkiFpj+Q5H/kdj31kYTO+Hqlsw6d5zW5cUl0u\n+Rd3e1IESUo2iheLakKloJ+cJEYM3gRQS+s8lUQeV4l9tnjtEafELHTJomr4YY7kFPBiqW1D5/ZU\nzjIGJQfF1IawHdCqJg8Db8fMlamYNQ2fx8i3Zq+ZO4czyuu18r6/5zK3/M0ruA6RC3fN2hpyuuFq\nVvH9K8ga2Y8Waysa+55RA3/zY1eabEJPikKsaupFInY9SkUfMldnYH2Lr5R//5UhaSKbhvtwSQ47\nllIxP+1YnQXykEnDK85nC5COXWewc0uOb/jbM8ePfvKKZycXDLllzEt+dn/H+UlF3jt2OZP6xP1L\nx8tROXPCmARnBkJQRD0xRtYyo53oAIPe4qNFdjDEAVS4HYWnlVLnkRwD18mhGrj0if+Puzf7uW1L\nz7t+7xhjtqv5+t2fpk6dY5VTtituYtkQRQkQAwZH4SIXcIForgwIJIQgEreI/A3ckRBxRUC5I4CJ\nlEhAjB131din6tRp997f3l+72tmM5uVizO/bp4IQEhS4qubF3metfdZac63ZjGe84/c+j/g5mzDQ\naMeTmcHgUe2oqgO6ccdhoeyiQVPBsQRMHBnVc6EtR7NEDCOl1HQKBQUmwODmPCsNvY98NkZMbbjq\nBx4Y5WELapQ2KcYLKXhutfi/Oft/fLZn5lO8OM71KQp42+LS9p5FvTw65GAdCIVlV1vObr6498q/\nPHpGOyTKIbzRzircPjnk9HLPrilob9YYYyiud4x3KWp+M9n5CPhtRhhOl3Q++2ZCRlQP+h1llPy6\nQXBekKJA/UgoLNvK0npl1ndsT45YXuc4anUFduawwOxqzfZkydmrLSKGXZ3ff90cMb+y/PL55xzb\nPf35Dc6fYWY1Vhvk8cegYM8+wx6do7fv8enfg5/W1/i3YXt0xcmftFiTCAc7tusZ6fYD2q8N2Ks5\nq/UN9faQvjPEAL4qOPuiIvwL38WliLx+QqTH3TyAr56jBy/AOlwIdFd/IYftHgTsBpJrOPtn/g5H\nn/0830FJ1QFl9wUOQ7AzGs28nkzxywBDGe9LPI6IV6WIlmSmnCqjnGx7uOPui45rd8pd/MZYjohv\nuG1aDv0Fl8UpZ+mSYEcOfEtyOVjHaTb0dwLGbDAIKhNuo4cUxqPsKO0+VwlDZsyj61A6JOYOeVut\nGJylKzYcrA6wKXM0h77n2lqsHYkmsT+4RZNltlpmwVVHDrsZszDQcUylHdEZwmw6xxTUTN+xvoMN\nfry30W6JqaLVHOxcmYwx3OVUtJLT51QnMYrimThcppYC5P5YRwwzTXnFZ6pwFqIMfJkvzpJ8Mmwl\niU6pdeZewJaqOFL2r50Qjl4yV5r0rsg6cdHCJBpzZboyb1L7zMTUXk187B1fW0sWjbsqsVHP5abg\npEnI0ueZtp/U4kgGZKuG3z9vebsJHInDh8BeDUdE6iSoMRyZgpvWI0a52jg8EdRCNLRlgS09VOm+\nN2qaEYDErO5yxje0d114GU3CChR79oVj2TfZC1ojo8kV1iTZoUO+5E0dJ+wk18SzKHbTMc0iObOn\ndyx9TIoVc+9UfD/hIf/RCCgJLzmIZTZ9LjZzxRm3yJNaEcWSVx8EwUma1gwyVtJl0B2LZMFM/po1\niT2OgGJM/vxbdRxooiSfDyIwiGNMGR+pTSJOhfdKLJ78G5Sa8iFk8sTm/6JK/f9w+5ESyIyJvswJ\nOmaMGAaWdclxOTIzlo4d62hhGGis47BInAjc2pHVPovqNnleSUUdEg9sx6O58qxtsfI5m74B45jX\nN8ys0iyEvT7lv/204zI6Rp+9NMe0wkqJ1YBFKWNuZogGJOWBRRtHm/Z4U/JO4amHkaqsKArD2A+s\nO0MqSxozsk8DYkYemjnvuTV+1rIZPMPoOG16hnHk0sxoNFFbhwk7Njry85VlqAw3mx7vBx4cP6Hf\nfsGGEh9LvnZmaXzH6AoOh8B+ZTg9COybOSTl0nvadITGwN5ccD6+S6UbGtswjzcMvcG4PfMjA6ni\ns6uGg2qkOQj4Xijx6G7Oez91iY49aduy256yZs+TRyPojs1lR9geMSZHpQNfFI94t7zm9rqgdIGi\nbDmta2Zs2fYblk1NUzoW9MRqRzk02Nbw7V3gtDTo4AhWOZSKj8aIpILB9Ei0rNKcBs/GVBRJmMfA\nmRnw9oBZE+lHZd9HZFbwNAlFgoIR04zoENCqZgiTA0I7Y506QioZrTCzgUpK4hB4ZVqu9pHWFnzz\nyjM0NW85ARM5q2CoEnZItArbKvCzhfJZXzJ44fNaCGuD12xNdCCOcRy5/SGal/9pb4VfcuB2GLnl\n0i0x/hwjDp2SnWajsmBL6HYsuswJjtWMcthx0gkqeygX91VnzJrj64F9OadMDtE1Eheo2VCynD51\nDbK83wcjG8qrbIhkJItcF44odZerLSwAwZRZAIYmX9tH3jJOx2J2u6XAon4k1gVHl7lS7I1werGj\nL5Ttw2ecXNxZoClqOiIWKaC9/DrpL/4vyKffyHf+lEgpYqyF28dcfHvO9elPU13dcr16lxP3Oekw\nceK3POg9zx/fwvMHtK9HPn4444H7KdKj77CJj5h/54adLjk4/AT/0SHyyx9iCwcvnuBfPEZEMCHA\n2RXGWsS+QubHpJXD2Yx6cfOI8mueg9+5yL/gcokkIbFAvcfq7t7XGfKYPn7pOEcraJgSRoFy4mM0\nOnypFP2CI9th4zSMpDkIHHZ7pBAe7AK1zBADa5MdEuZJwJrpM5W62OLDEeBoVRmlJ4liUo2GmmDe\nIJtlhMHkgTuGGUPpGfycZl+zNjVlyk2fm6bCjQGVgpiE6iY3bq4Pz6fj/ohOBNQS3S73/Rml3TR0\n7q76GSm9YeQno7u2K8DqljLMONDsq5usuXdJsAphuiIT2W/4DmnoyI1xRt+EtJdk4XaiiWCmlLSJ\nR713geAHBUZCskUYbyrE3pgcJIdQMyWoaW4GayZxnowgd6LbfKkCSa6EQxZ6GwxLctV1Oylwh1JI\nLuDWZaSsLPvSMJssIu+/sAEKobu2PKsPICXK/oBkYF7CdRw4T3sWvsRIBWWHEcPZ2Z5FORL6kler\nAnyF74UgBldPVdYM2U7MAHc2Hvnf7FR5QTv7AAAgAElEQVRelenLOuH9p3v2H97x1xk5sGRkQkXv\nEZa7H/nLI8sc6FJ2eoDciJm/p05YSn5s7p/Ohch0twtWGFUoJGH1DU+e9A0pV0q8xz1ydHmiStCb\nvBLYkP3ms8uRTkaRCmJoFJxaKs3BUXEKEzxNWZRHhWLCnypVZMJHVC1jhGSzT7ZI/um8wBTgygD3\n95Uf1vYjJZDrUtCUWSWxNi+whcA6GGLIPKcNA+8takpvmLeJB7Oapw7sckCd4fwm8qQJLKqCha15\nuff8vWu46p/QGUtI2cbIKCQXqFKHCYkke6zNtlGtcTTqKZ1QucgmCd57hILSBtQowStaKMfDQGtq\n1mVkL3AqgQMXeLxQjhvPQgxdXLEsZxhzRUHJxeaG1lmKoiQa4emhY3G7xZlINTcEv2dmClxbYPot\nMn9IqZeoP6czS5phw8OF0HQDajxtUrRsKRyMg+LcSCkWW4Czl7imAplz4j/FHERIJaqWqhzQruVy\npfiu5LT+CKlmWH3CxfqCbV9yMNvSrg9gtGxHi4tX7NaR740VtjzhxbXHNDuObctaay5ev+b4aUsj\nkaWUvF5H2vkBZr7j3WNDvyt5sfd862ViLOc8ayzDOOd8dc1LYzHaYcuK6zRSiWM0K/bDSE3Fw2JL\ncj1PZy2fX/d0seKzVDGzA7thpG4bYoTuek9sS+aWzJG7gI8tn6wCO2nwfSLeCNEaWh3Y3ZS0Etno\niENobOT9xpE0cVoltuPA5U5QMXyRBq5DxZiUojK0WnNqe+YEpEl8thcaW2acRwtGAq4sqMJPRiUK\nYFX2aH+I0z1NHBgXB9Qhsiks7Ziodcu+tsCSZI4x6RoBxnaBTI1Pwvr+hju6BWXY0sQsdKMBZc1Q\nP8aX2Z7McISbmmZ9WSCS3Rse7V5iNgMz+Sbj+gHro3eB3FRytP4UDNwu3wHg6PYz1kfvsLi9YbTK\nMD9h/6VygyOLxdntNcmCPzjFhYSYTUZ/JOMIMm6Ixxvs4orLD/9ZHrz1h7kyc17A1y/RqxNSjJzM\ne76x/5x/dPLT7B28d7HnQbOjrXfcvnfAmSoPFt/n4uZdHm0eMJdv0d0kODpHfs7y4OUlrJ5RP76C\nv/t1wmmEf/oPMCTszQPS8RXmm4/Qx57S9/jNFYlHxHDGUFxQW0i/+gc80ne4/NYr9rM/x7G/5sYt\nafZfQDoiiFIMq2yLZoRK3wwvY90QdEs9DVhDmauqppohw45QKagyOH/PlzbxbkCbY6uEifk6m03G\nrA4lxQBGMDLiw8m0XJ+4C1ZUycumkEWVUYOz10Sx07KsIioUvqRgZDANRb0mqRKGJaQsonemRJaf\nU/UHYITZeAxAVexZzbeMkxXW4eVjiKCyZzZhPKKKitL6H8IF8yOwPRgKpHCsXOAgWqK6zPuKyatA\nkjFceFOJvMtvq+/cneQN49poXpLfTU80U6VyLUIzccqCspsEWksWRAnoiWhQXqc975WnlDLkJsCU\nEQYnSpZtuZpcSc7qq6dGM/cl/aOTUNOkzEiMZhL9epemNyXJJU8dA7GPLEvNXX8Zqp7UYlaaTb3n\n43bPo35J4xP7rsEXPXXd86iKeO2whbLbHLJc9Oz3Bh8sx+3I243n9TowryLOwXrrWBb6pjnvzrEi\nkvmCCPfQNtPsQhK1C4Qna8IXDcGWVCQGLHVKqDX5cZL74JDqngrOgq4wb9hdc8fgT1/XmMwHlygj\nGX/Q6dosrWQWWvXei/huk5QoJ4HuMdP764R45ElW9SVWPapBJhGci0V5MlOYzC2LZrY6CXjN/Suq\nMDeJfhLYhdzNLiYWXrKTiTHkvjKmlL/JrqjUvGIxviGE/l9v8uVo1z/t7T/+539Dm6KmDz43d07L\nLqoRQ27iKSRk2zZAiNmxQjRPcSQL3EIhEnEIhySiRMbe8+efKO9UFcbscRJQKWlqz34wFGXNdTfn\nf399QxcX9FFIOtBLSTIx4xbWoBYKFUwSoonYZClEEZsQERYSaQk8aEseOM82KZpGbnaReVkwq6AM\nwqIxnG+2PJnnzHVnFoRhzel8xsXNnrb0FG1gNVree1Twvc9WvH0m+KHEEqhLR+dHmqOa0BsCa+pq\nRhgFh8nE+qLh1XcH2mKF0ZbVZqQLS5bzAZM8J18pUb9CRgOuZNwteHFecvJAWMwcr696HrQlH14a\n7LilXe5wqeazc8PDwwvq5pjTh7C/Fny/4eD4gG9/5th5x42MxDFQhwpqz5OZYbtPfNwp1nuOEYZi\n4GldUMwaKmu52HZcb/ck0zBvahg7RslOF7thZHA1tcnBIGVqqJpEa5Q+BEZ11CIMyfDFLhvFa4iU\nZW6klASPWmU1diSfeE7FXIWTsuCzMdE0Bc8vNhzPGrpg2fgBnwzqUg6GSYo6gTQyakGjipo4CSeb\nJyQSaZJhpwlDwKtj9BFvoDIFf+Ob//iHeOn+6W3/87//b2q7+Yzd8h3ai9v75yuU1dkxCWUXW/q6\nphm6+16U1uypLtd0Dw5Z2UOiNRhjSEFJZQY+rfckl3GUN8UPnZbh82MbAsfdBX/eXVP9wj9CrYOv\nXBL+5C/zW7/zPmJG1rMamTCCWNaYO+Emk0VUDCTrkDgx01iiKfL+pCzgks1rlRKY7CMTNgZOxwse\nn7/inScX9O8IS4W1nbEMk+vBLJB+7kPc7cPMFZ5ecf53/xrmJLtqLPbfxs/PWD56yc3FByy+2PPi\n5ISjzQsu2qc8fbHl0yczvvoa7Dc+Ivz0c7rf/iXa71UMf7ag/Po/xH37CanaY4YS/Zlz0qsTuHmG\noaLTpzTpI+TxK9KVZ391wov9V/n963f5yuefcHt2itWRpEp1uWJzUOeBJymqB/eNlEX3Bb55lpeQ\ngV1tmXc91dgzlDXbpuZkdYvoXQe6YsOOuR0YOMI6Q/SRmHqsMUQpSeowumaOy7/t9N4WmZZtBU0w\nTAP1IA4TIJns426mTvmyuKWPDbXb3oct+LvgKGdZ9pFglV4MhSa8sfcyohgqdsvX+X2GA0RhqFcc\nXj9Bq8yzL8bFPU7w9b/z93/sr9vVb/6ahqTURhi+NOZHSVTisqDU7Dl9x7rCpCOnpfeSSRwZ6JK5\nF9QefkCgwUQWyJvHEehVuTje8/7pi1wJNgqm4uV3PqDRkUP1hKmqWBphr3L/nmH6DCUHReR9N4RJ\nrGlKFJOYTgobtdn/dxLuqpEOz81iy1eOe4oyZIuUCe3JSXcpf5gCSRhvluxjniGlIlJaYd70pFDx\n+WXNrEj0KWKlZExKa+BwOVJMWI4fHSEammbCK5RJp8RJwQpUcaosO/DTPvUGRuFqd8zB6wXXZH/o\nQK4y3/lIo7lqqlNyXd7RLLTvmtjuceG7+96kz+N0DqRprhAlV2adhSEqamzGoFTZiaMmN8J5zX7S\n+dzI+2Xun5/s3DBskqFQndzLJ09tyQ4XThLjdGzj3cRala2Z7CJTtvnjS+dVEJv7vcgozx2L7e8w\nErIjyt2q5K/+zf/ph3LN/kgJ5L/+67+hVWBiTUbE1FRp4K22pgE6p+xDoi5Ktr1HC0v0ijrlah+R\nkBvlVAQ0G8FbawkoRVCUEWtLhunsyRWhAqMTXZUCg8tLefWwZj47REzkoCpxKhTOsKDD2IQNjusU\nGdWyT4Y0DrRWOCwsC5O4IvCoLij8CDFHOItNLAwUxlM1ifVtZD4raG3EFHMsA5+uAsetUkrNouoo\nrMOVAaVA3YZxF2jaltVWGcaWi63HJsHGPR+8B+vbjraZA8Jq77m4Pedrb79DpIOhxR6k3KRw4KGY\n4T+8xR4KxjRgZmAEvdrS1yV1Eq53BfubK251zvHxHOMNrkjMio7dfs35ao4xjr1Evvpozr73VIzE\n1PPwMPDiHD68cVT1Id04sBoSzgWsOuqqYNtFrClxbsCmntYeI2bLmHL3srUF1iiljQS1vFoLq36F\n6JKmdpi0IZia7ahcjp6UDNbmjuLGFgySCEmZiaOwsPZgiURJDCGL5z6F7GEbDcYOCImFzfZf3kQO\nYsWeIadHGctmuLuBBHpjWWjEuDxw58SniJhI6BN+sjeq1PDXv/lHP/YDLcDf/w/+LRUR2stbutMH\noHlAmF3eUDw6pz9/zO7sEINwHB3D9WWe3D56iZ4/IaDM9IaTxpNS4h8+/FWOh+v797/rZxymuPeC\nHi9NHiBVOY2Jq1Dza1//LUQM6a1bjBPSYLn5rbfQt9YMf/yIPzp4j03RsPTdl8S2YVdm3GLue3bl\nbDLVV+Zjz6ZomPs9VuG2nHEwblExbIoGEWU2jhiJPFxfcOw7zh5ewr5FiWwXGzhKnN1UXH7lKcc/\n999jvvM2IV5QfPyIXbXFz89oF9/Hbs8IxZzKJNRAetkxhl8mHP8h7WXF6EY2c+FBZYm/8h3s733A\nLmQerzq5xPQNqe7QzSFSDsjPPEeS4r/zi5ASxaMv4Lwg3h5gPznhdlbz2/unU2WvI6Uay5AnH5LY\npoaj63M2y5p2zPfHfeloBk9XWZohYpkSCuMO52Z4n7nzOAWjNAp7lCLusVIzTgiHqlBWniEsqYsN\nbe+wErF2zzjm1xYm85p5iTSBWLzPzUiqSm8FSYbSZgHrwxHOXhPSAaXc4NMxhblGValDw3U70sSI\nxEk4xwbslNBoBB1zsEgse8oYc6hCShh5s4R/OGSm+SdBIG9+89fysEhCp+osZOHoJVKpoyDHGg8m\ns64GCJIJ10Jhbwa8G0gK7/rlDyzt3xXay/vrLGvAifBlFOFKG9r3vsehDUiRcnZ7qnj5/ZbmqGdz\nccATv5hiwt+4M0QspOyKnCuhk+fxtGyfwzAyM10JU6R0roAaFIzFaGAk8GmZWNQ7ojVYTSQSy3ZE\nbWLZACZbIPZ74XKsmJtAaQXBgzU0hiymUXYbR5QCsTnHbdU52gqO2jEn5gUDYap0FmlSq9OPYyR/\nf2XKiiZPpr1AsGyipbhd4m+XuZo/+fyq3uEliUpzFVj1S27dYrLVrbwRv7miPoljzdXZu8liL0KZ\nciOmphzqcSdyA4pLSrJC0GzNNyr3qYM6OZ8Idw2BkoO2plTECqVXi95z69mqzkqugNvJjUKBDmGW\nckJeIdyjF3f6tBAYpzVHTROPfEen3H11YJge/EQK5L/9V/+qkiLJCmISTQiM2nOIUIvn1VDT1fBq\ntIgr0ZgYSbSaPRlV0719k9GEc46zIluZ7JJnFMcmCNsYsNZSCKRoMMlzXEJhIjNT0BawHwecbSGN\nqBFKsbzqBoytMTZRlZZlgO2YKG3iQHoalCcnBWYIbLqeshBKG5i1C1a7gXU38qT1XHSeWT1jXgjj\nsEGqY5x4ShtomyWm7dFOudzOuFlfc3zaEgdhUUXamfDRt1Y8e7vmZrPi7PgxmIRdAMkRrzpGjRRV\nIDlD3xU0BwcUZg1J2N1u6Pcj6oX5UqhbC8UhYTPShz3zdjnBPR4Ezq/W1HZJWymv9wt2/paHBwfs\n0w0aa7QHNz+kLvest4bLTnFpTxkDZWPYDJExVFzsS4IoTSEclyN1tSD4nsHv8V7Zh5IhWYx6ClfR\nzoXXl56qiYxDDoEZElztI1ssZSG0xhC0oNSBIUFdFcQgdERUEi7BoRG2aln7nso1bMNAIcpxIRTT\n4LtLgtoSGROu8EQtaYzmqqHmKnGLMkTwSWjMyE1wVFbYpWwV6BM456glYKww9g4vuVu5D57ROP7z\nP/zDH/uBFuAf/oe/qTB1dF+8yhX22rGeH1GFP+Tg4gipHIXP1b39sx3+/AFnLnIoX1DPEx8WS9rz\nlkfLl9iqJJUF/yD+OR77xMvCcBaVrU2M6jgJkUvnON1dAvDp8TuklPj14n+ketxjSkv62Y8w33qP\nbl/RnFf4g99D3lHcVcv/8L1/na/2L/ndg/chBUrypGXmt+xsFkH/ZGLafApA2boF85DRj72b8263\nysu2/S2F9Jinr6i+M8POWmZ2zUJWFL/okW98Cr/3Pv7Csa4TJ91A9AOb4wMW3z/m6ueWnG4+Z3SB\nKlrG5Sfox/8Spftt5OYt9MknpOdvY55+hm/nOANDyPfqOrp8nytH7shAbff4swFLxL6qYJ3dPPYm\noBc/zze3I02akRACiqhyK44gOg1aAyklujijbxvqfcfh9TnDaXaK6FJD63b0g+dw3XF1/JhFd4md\nlsXvtj5CU92iKd+H7W5GnG2o/Rubw7vhXEQoYjHdsy0RJcY3TYOQK2Tl9Hicwg7euAZOyVmqVPaG\nPh5R2zcTLe8PM7M4CWeVPKibqHhqjMk2g1YT62aLRXh0+5BNtWU+zO/342f/mx9/gbz/d/+yQkYP\nRLM3bUVmVK1E9qoMBrqpuneWlFKFV2XktRkwEnk6HNLbSG/WaCEcWuHx5pgbYzhKid4YbIqoWHqE\nGrATbWynzrJPjl5xeDCyMIotAgRDDJZ9NKy6xGyekADNi/fRqqMeKtBEkMl1Q7PQAu4r/P+nTUxu\nkCNXFbcqKImaSGIkWvhiqoDvip4gPX/2SYdUCsGgA2xCQaXKECJ1lZtC6xqId9HMSvBCF2ps8hR1\ntkWzGCIJZ8A6g586yIoMEU9dh9MZbOPEJGeXqbu4Qx+EwbfMXy5YU2bcQJVIrtRWkx2bRe/zHcyE\nRHjeWMG5afIb1JGI1OT4644fxFTGJBQm4qfkSGuEFOMbBxLgDrwSclOgkFMTHUpI/ACOkb4kWpVc\nlL/79zSJ/DQ990+iHJ7cMJrSHcOu9JpREKs5sOZ+HyQ7rtx5Pgd5E1j0S3/zt37yBPLf+iv/nEpK\nlNbQOqWxFefecj2O7CRiQ8lgOg6TcOoKFrFnZiK2thhnudk4NrJBxwVN5XNS25g4aCytFS6jsA8C\no2EnhpAgukSBYYwdJblC2LhEK9nb+BEGqQXCSJMcTTHiCBTiuBwifdcxrwsOipLYRG4uR9pGsFoy\nBE9TBFyfRauZHTMrB25XkUVtuN0Hni2XSOG47VYs5jVuf8Fi1vB8N2JjQztbUPUXFLOG677j8eGc\njz7vWTjBS8Vu3OOaiqVVyrJks92zHSKLxQG3mxGHZ1a19Op5cKB0OziaG5aLDkpL0i3GOXQ/x/uK\nfjey63bc+iOawiAWNCZcscOKcFQViLNcrUI2fneOm+2WWjbYomHdz7n1QlPmi25hehbzOUMHl37E\nR0dKW+r5AtMVXI0dN1tHU0Ze7ITOVFR0bINik8s58yZRlgUuBWa1o+/y5KfrE0kKjF1R6ZJOB1rx\nGFOSmDhz2/GsUF53JRsf+cphw/rqBreouVHBDgOjc7mb2YJPJU4NFo8rCwby+dgNyqzoCaPFFUoY\nyFULW7D3yloV5xxLIrsYKawjpIiLeQC/TZb/9Fs/GRXkb/9r/7IC+GZON/v8/vm2e5r/4+hzyosF\nx3iCaynNBilvCfsDHIqfrThKFZfLBd3rBzzRP6ZuHHr2XeTiA/xoibM9V4snnK1yWh5O+XjzLn1y\nNDJyON4wuJc8K8D8G+fw8RKaW3hVk64qzMkAu6+gdccQSuqrnpWv8buHPOcdohg+aw54d8ji9+Ny\n/kYlS0ZyjLnrpHlzu7+7X749bghxT1HWuM0KKRxvt5csvva76E9v4XWJPPbo945Jf/QEeTayitlm\ncb7a07sd4+yU1uwwaQ4PX8HtGetRkBc/Rb3/Y6rTHl91iD8lmde47inbRxULv2espipvmnHYfIhu\n30YIpDZigxB6RygT5Z8cEW3J9buely+/ir3dENsseuPumu3ikKWHlcl890VxzJG/zmibANOy5jbN\ncCGLz2iPmfd5srIrs0dBM0RavSL6BVahPznEXayIsx1GD+nHHUUZqOJIoXVuxJJ0/3smekxqiNJT\nGI+kSaDa3X0stiQhSWIzG2muTzHVim4WWGzcD+A43SzQ7BzdLNy/1t5bZCmjdPef26SGzuTHy27O\nos+fu212bJsds23DP/Vf/86P/XW7/Xf+Yp7Uir33CAamgN8sONbiWTuhTsLejcSkHOQ7cJaWVpnH\ninlq+cTeUBeBSkYGzVEfbUrM9YCXtsMgzCVwvD+kTIIvI59ppB97hqrnV98PEAJEGL0lJcEYpSwM\nSCREy7q3bPsC51sO93Mc2QLsznbOph+8NgMyYRVv7CRlakCDLJYNucEMTRQkdvMds+OryVxX7iu/\n271j3igE2ITsKoPkOObSRgqrUwXYMfbCbV9wtbY8ORpwNuEc7H3mettCs+vKfdk+V/LF5gJM1sv5\n85MqXTTUxqLG4j47YVC5J8JdiqhCJ/ae/xU1WFIORkPvXR1KzRVfmPDm6Zy/w9VSyrxuK5GRnCyp\nKtnMQyZPZwFH9mQeEYrJhg/ykHkveDVPCu4K4XcM9ICh1IRLiV4s1eRO0ovc4zd3nslyV+2ejm/Q\nlFetyHZ9en8cJ0tG8vXeS55UN2RbOZ/gF/7WT6BA/u/+2m+oxpGTMvDNLVgaDq1nUURGr4hTyuQz\nx2Y9h5XDmoKLkNjhMGFER0PZNoy7geR6iuAQPMEVzBD6VODsgInZLH492YhhDTFGklgGEiEkkstL\nJPM44pyDMdAF5aAqMpfnIxfJ89AlkhYURlkWCaxjt9vx7PCYkT1hp5SN0u1Hni7rbDlmC5Z1T+y3\nHJ8sKU3i81cdF/sarSpSSiyLmkhNP+xy1n3wHDbQWE8Qy/FRw4P5mCO6Y8XNzvPyEtr5Sw7KGSSh\nKc9olx3VyXFGgYYtkIjbGfY0ggx0l4Gyitj6DOWC/VaZLWv2N2ua6hH7nZ8ScBKf3HQsmgWNWzGv\nGv7k+xFTB44WS9bbPTjDrIhUruCmczy/HbjpE2Vd5ZM5GnxMNLagKYQQRyQY9j7gVZizp10u6Pcj\nOxyHtaGmp6qXnK89YiIqBXPtGJJjWSUud5HXzCjjnlIq1O05lMCoc7bjwMmypY4DZZUdC56vLWuN\nOJNobUK9RYxS1zXJOLzC1TriLRzWwu0YGKNFYkBtZKEObxJowVo9cfLDTGIRyS0uma2NFJMI8CL8\njW//hAjkf/tfUYBgClzKwuoH0tOMIE++IL14jyiOWnOlzqvHPH5B8fwBi7Am2UgRLEPqqYqSTVrw\nVr1mbFaUY4l58CH+9Qd52XOsKd76iP3qGW5zRGkGxrPXlPNbmJvcJXJ7SAx7xBcwe4nRGegZyCsC\nI46acbNktTzhonPst79IGicG2bXIxHbEIQf0yOR3fge5qgoyOWAkgabf44sKMYakFiORd59+kyQF\nRw+/B4c1Ggb0d5Z0Zkt11uJCQzp3dM05M1+jh4eoRqQZiE+3uMuS7XZGNx5j0xXHtzX9Y08xTm4T\nRjFFIo2OKCsKlrC4JYUWgiFodgWo3voe6fwd7JNP875/9332NwWvLt5mTJKXK2cH2epNLH6quN0a\nSxTJfu8opXaICKPUlNrfH2K5F7bcV3HbyxXG3iWSmnvP5Uji8vgxR1fnWSSYiFXB6BRTrooti9yk\nJT1Wqvy3mRbxJyEQwyHG3mRWfJxTiEfcftoPvX8vvUc1YDebbPxMBVEmnv3NtjPd1Ofy5nV3YnlT\nb1l2c37lb//2j/112/97f0lh4vnv5oFf+lY9SpJAoSVOLEHjZKsWGUwCo7zSxILAlRRU3uMKg1NH\nKLJp106EGT09NSEplVVKm7iVgkoLCgbmRaQuAqaAxiSCZnRm3QsQsc4wq2DolX2ylDYxeMtBbSjP\nl5TS3iulJO5NAltK0/2XqcVrOmdU7sMu8hbIgIIQsVgi/dNrajtiiiEL5RDZ3bR4SbR1yHxwHwnR\nEJKynJMr1JKgzP0p9Ia11MQh4Gxi5nIz2bRz2VJOlRAU53iDV6hFJ3dFYyce+e5cTpar1wvaboGq\nndCGjJQg5t5OTzUn6w1k/CFMYrMQ7sUyvHG7uLPcTHrX/Bjy5FEkN9dJRmxqMvowIvf/T7hrxFMl\n4QiacZda0j1iDW8+10rusZoZZac2x2JP+303YdDp/e7wJpnCjGqEvZp7o5G7zekbv+e7KdKdWI6S\n9+cbP6QK8o+UiwVpRZSKF4PwtVngkYyMZcneWkZpCGFgM3qeh0QKDdXWY0ziRJSyDLSjR9IAYaRu\nADPjKuZD2kfBW0cg4ELMS4NlxaPKEIJhJxEJA2pKxEd8iowpMaSCpe5oXMNePEeV0shIU1WMyfBu\nqQy9UEpEQ0CxtEXPg+MC07/CmYTMCs6agmIJiyOQ0fL68pZuNZDqE757Tu5ejS2tg6OywzlHMiPX\nF5c8XM44aDwMe3YxUtYttR2ZuZE+HqKmQaqSI7Pm4bM93fAW0kcub2qOTytsUbF7fctu7Xnw9hMI\nW2Jxjd8misoQvGPsa6q0wpgjZgtl2PW46hivgaQ7bD2j6zseH1Rs9sLGHzKOlnI2YvDZEq8w/Mnn\nN2h1ShfJmAPCw1nJdowMw4C1JRZDEQMQmNtAUY88rBwXvaVuj+jHjlkT+KmDSD8u+e5Nz5luST4R\nXMlStpzNLcFHaGCZLO8WO17tE/N2S+kiBymxTwOjwOUYeNFF3JCZrMNq4MTUDCT65JDUA4mYBrq+\nY6+OvXFEVV7vDbWZunBFSangnETlDdZFqiQYKzQmMMaItZZ9SsTgcbyJx2zNj/0Ye7+pE2oqlAFs\ngwl7QrPAhkBFyulWL55itcca6B+9orx6TEyOdPM1UpFxJ4OnrgRrI3E01GbLt58k6suvE/sdp594\ncAccKkS3Ir08pX3wMSyeE19+QGmuUfHo1SFyMqD6MbJ/F3UeYksfGmzaYpsOG2f4OMNGS7uLLGLB\nYAuKahJHEqYlPaGoa+7oSQU+cH/E94evEF17PwIkBL9oYZdHI2sCJjjWfzxn/sEl4XyGe/cFnMPu\n4AEiDZYR3r/Gt09pnpRc/1FLbTzNe58QXz3Efe8BO3qEyOnVFpGalBIubpF5DTYgqUDnV5jXjwiz\nS9guiV9/if3d94m9hV2CIxg+ey+7fzx/B/n5j0lyTfPZIV9ZXSPfeAH9Fzz//V/hunwIIZJKRzX0\nnLSH99HgG2dQzc2ThfYsqFhrz37ggYMAACAASURBVOxqdS8kNw+WzM5XBJOrZBoF4c25njQ3ST3e\nfEyQhroc6McyC+vCMoYWRakYEKs4MndutUaSEOjuH6vdkaTIzUbVKjcfTcu0d0vqahL0Ni+XA9Dk\nSYAK/SSm69AS7A5VpQRqGorLit3Z9cRzKvtmhRPLfrb9//BK+v9vU0nThNZjMKhGyok5DpI9aqvk\nSCS8BrwYDomosSyw2S7P5N9xLvDaQE7uDrzt59TGcJ0i39OSh9ZxYSGmjr1CY3rERFDD7QgHxjCz\nGZ+52SvtFEXsnKWVSDcKPirOKo1R1CRSB1qMoHNIueHN4CeFlLmbO8cGQdjN18y2FU6KL/FTAkbY\nJ5tXiPHspWD4ospOMMnlyvAoGJeoJYeDUA3QGsqk3FwV+BApSoWg6GgJfpJvccTZLPaiKsZOnIDJ\nUABqGCNZIOd0DUh5hRYjhGimfj2FIvdInT7ash93zArPyx78i1OeSYOXjEkpgBg8OuWOvJkAqgqF\nzcm8SLr3Sp6h3Kqh1oRH6LB5QnlXoZ34852CM7m6exfmomlCEyfxXUv6AZ7CTfOFSu5wjOxFHZli\np6dKcD4k+XerNdEJmOkzEo6kyh7uHVT6nNV6L4pLgU4EpzmU5J7NzjGNP7TtR6qC/F/9q39FTYDa\nCY0EbjWxDg4zdZpbCxIDhckHNCi5AzfBIAMOS1KlSIFFU+G9Z6aBaD2FNVwnZaENc9mgrkK8pzEj\nY3RUYolaUiZhFxIRKCrLbr9hoMRaCzJgQ4mWgTYF/BAoZWRuS7x4nJQ8PTIMEbpRuOoDVeWYlQuG\n/Yar3Zp3Zi1BAoUJOK14cNZxsWs5NJkBNE5IIbIbe9IIdZ0o7CF9nZg7S3F8xP58oJ1HAgOurMFu\nwCrD6BlWjuXRMf1qhTGGEK9p2weElHC2Y3Ux4+ADyc0NssYERyoj5vWcjz69pT04IfUJj+HBzBJ8\nR7/a040FxjXgIoUZKefCcRX5/IXnVXeAKzyVeAqTl5/2gzIrZ4yiVK7i1WrDzAq4ik3I1ZqjFsZ9\n4nK0xCjUpSF5ZRsdRTVSS6Q2hn0XWQ23HLQPoFC2Yrm9NRw1kUIs3RjZa0RMdu5Ur+xdZM6ISk2r\nkSEJe2CrkZhKZuqpbV5+Cza7Jljf55uNGsap4XNHoveJtnI5tz7mqtgYEiklrM3WU8YUxBgZpubQ\nXhQX8y1JKPBG+c+++Qc/ESo5/ke/oEPoWI+WcHwCccv26gk8vUKeP6RIEfdoQ3ML9BBcy9WTa6pX\nb9+/h/qO9PYV8vIxfnaMSUIyQrG5Ii5O8S5wcPECO0L7fk+4OEex1PGaWj0MZxhGkr2ifqb04Smi\nK6pyhXaHqM3iKVjBiiGkOc5fkdwJMSrN4UtWF7/EF9sFrYns5w+IajBWEdyU0pWoF5/z/vA9BuP5\nfvfrjOqp+gveOn6JOx25fh1Y8RewfeT07H8lGsPJbkT6GePjQNFtYKOM9JgiUfyLK+T6EYig316g\nn54Shg/h8Qmu2rArZ9TdNYV62D0jVBE7N/DoJfL6MagSP7jAnF4g/9vXGYtE4W0W+UBcfIR58RXU\nCMXj58SfWWWHiItTZBUwH6zg6oQYYfX8l/j8HwOzE+x+Q1cXkBTX51WBUJcklCQfUXdvM9Sf5Sa4\n/i369gtm+4zUuORZzc85uDhhX+RrKSxfUKweUftw30wDMLgCnQRLUr3nSEU7zBSPpYAfK8oyNxHa\nSX/cHN0wW2dX1f18nyt4QHnfVe8wOjK7PmR3vEL0TWUZ3jT85L+nCqPEyfnIMZowib48gOu003/p\nv/jwx/66/f5/8g0dx0SfGh6LwRGZUdKrxRnoVFECnQ2kVFAlOMYik8UfQCBgEQoVrAgeQ0F+bW0M\nop7nUdlY4dBFNr5HxbIeR9TmQoIjsvLCw2XkwGZnhM6DcUI7xVe4SYARoU8JayxehUUdqXdz5uOM\nJAGbCtCMZGQWUIDEy/mWqtgRovBg83gS1J7PjtY8m4+k5wXOnTJGw+7kVRZzKngbqV1uAtt2hi5A\nWSkPjkK2YEBgp2h0fOvc8GcehhxYkbJrRJqCNJwRnANrAyQ7NeKlqWvOZj7/S+F93ZjHmhLNq1jV\nJDplUqEF2WEjWYZQUn54zOhKjOo9m3xXub3zq1blvpqa8xMNJYnhS/x/pYmdCtWkKJWEqjDK1ACp\nd5iKTBEc+dpJU/OkR+6vF5n+uOOL++m1Jel+wjxoDgHJ5xL37200MYihnL7Ll1d43lyz3P9gfmpK\nvPuu++n9Hcowfe6f+S//wU9eBflhExgxxOjpY2SGo2LLrLGUIbGLgYPW4JOll8gQPL3Psw3fJQbt\n8TisJi5XCqWnUMMYS7wF65VCetQVzEQxWtKabA3XVI5lEfLJVBgMiUMZeHZWsR8HYswNV42JOOfY\nr0dOngT6lPAhsrpx3MaB89dzjsvE3Aw8rXuOljPUbEkHkfaVxbgbFuWSfhS8vSJJwekisdom+mBo\nojCbWU6WDrQhmcir57c8eXTAMNzC4UB7vITdHrmpSKXF72eEYY4pOxaHwvV2jXElhycF4eoJ0Rvc\noQOE5YmHlSHqnn3ytIdgXy8hCEtXsL1V5pUSY0m32VDPRh48OwYT8Vcr3ExIseD3n/d8JnOiqViW\nA49OE8ohQ/CcX+SO4VVnsFZJ/Y4+WdRVpHFAsBgTeb0yxKQUxUhd1Oyip7HKURXoh0gUwyCRshLO\nqjOSKKeHBV/cDMxsYvDCKowYYzgoc1fyqJ7RJSorCDWOgBHBpcAS4YGDEMYs0iVhcBwaza4TwWCd\nMqaEqQ1DUBYYRqcEnxgkcWjzMqy3FlLxf3D3Jj2SZWl63nOmO5qZm08xR2ZWZXZVsbvYjSYEQhSg\nhQgBErTRhistuBGgjUCBW/0NrQUB0kobQf9B0oZUk2y2VF2qoTszI2N0d3N3G+50po+Lax6R3dJO\nJbGqziYQCHODefi9fr77nvd9XqYoiMnARKlnP5hSak5gK8WUFCkmzMNR4O/Buu5rLkLBk8/+ktjf\no5Tgzw3fffcYiFRPtriUWRQdcZEQtuxff4bo8Yj9gYoEr87wn70D3uHeP0OGxIvqFuzXNLpj//kp\n5r0hbzZ0/ie84IqoNTJ+j0pRPcVfKcie6FaoYLHaoar9rMaEJep0xOl7pF9CUNRPX5OSsDj5GV9W\nhiGfY6qe0iSa65LtOpBE8bl8w91QsJeKbf0FP/rwZ3x4vGTYLKja77Auc+ZWUPySZ/INB3tCuwjI\n0qB+toL2X7GZXnCZHWZxRW4vUDeWfPUc/ZM/gx86ctZ4d4rbvoPbz1g2O5CGUB5w7WuMCL26pGm3\nRHmE+vd+ifrFn6BKjfzBFcVVjURN9DUqHiiuSpgM4+OI7b9Aqb8g/OxPsJevUL4l/+sG/VlA37zk\n7LN/Sd5fcv1NolSOZBqK6YB5aLULYHIk8RKVRqr+EUHNZa5avsTm3RxyU4ame0l88R3l7UsAyuFz\nqIT89Jq8eU4+m73qi9cXyMNhrxjkqPwOJpGP9IwkghZPmo4h2sd7qg9LVleO/tGsAmv1vSEXjU4e\nS/oeEXb21X5/s31YD+r3w3JiiTpRJkO5WQIwne9J+vcEggz4oWCoI2u1o9fzAHSIS058RRRIBCYt\nZBMI5UTpDTEtKY5DMYCX+Xfy/NXzw80HZRibAy4mZBGoBdTo2I0Tj+wFV+pAbYUp8tEXvCw1g4ch\nCU4pRENMM7QV5rlwWUWUzgRf0CewxTEMvdjxZupRUvBobJiUcGcVp372m6eTDXbSdN5ileaXxTWP\nwoIhF0Qf6FAszyJX4ZZsI7XVNJUHBCaLTpkpGqoyUjmNKZg9CUbPPcfH0pKfPonspjmDUuZZaKl0\nZEIxpSOD+QE/W8qMc0uAAZUMEjKIIeW5+jnnWX4tCzlaN2ROfhsDQ4RWQZkp9cT9ix3rdwsm9VCs\nPHtvOf5kvFIfT1esngNv+thOp4//vwOKJDPX+BOhX1GoeaCdh9qHYVZjZL4X4tEqAjMO8MHjjxwJ\nGUcjccE8wEbh4z1Zqvyp8EXNrYizge3TXfrQGPi314M/+WHp49/D986rFOrjAP6bWr9VA3JTahoy\nSqsZA5YNWRzJeIbsuBhAXCLlwFlWuHUgRkWh5ypnmw27cSSPCtLEEAyjVhymaS7eKMBnTVTCJB4t\nBaWeMMZQ1QblJ4zVLF1kUQaMXjNOMxs3BDAh0p5BzoERza/HRwyjRk23vHwMn6+ecHfzDp1Kdn3i\n8hFYZ8GMpJS4OG0Q95i3b67x2dCXn/PrtyO1FBQY/t4fL7l/pejie07PC3a3itFrnv3BZ0gcKJfn\ncDvBYQvrFvMikV5d45TBPt0x+YDXivWjjC4quJ9onhj87oCpL6GOqJcGmogZGpp6j/kgDNUt5VXL\n5VdLLoOwvwbLgVVdMQzC3XYkDIEuGG53DiRRFJf40OMERgw324SojlYy6yqgtUXpgfXpkpwnlk0N\nsmG/r9l1CW2EMhmWZ5rdvea+v2NpG1I2KDWxWCpMTDSlpa4r+v5AUvC0GbgsoRvgtnP4FMk5c1Al\nU3Ys5cCyWdP3npwS2c0A+NKCDyBhRsydF3P4JCchSySF+NHDprUmDhPGlqAVhRGc0pyokn32KKWo\nUyYqg3Z2VjMIqJSpVTkjciSTBEorqNIS8v/TVv27ufJpSb/5FSs01gi4e4qrih8Vs11n7LZUoQT2\nlP0Jcf2Bz9eRd80lSxHcm0xqbyj3S8avCzq9JBlP/OqaJv6Cnq+I1deUtzvUqSWpJef8FalfMiah\nqCxa7pjiCUXUjFNCigOSMipPSK5QnZDHJarcU7x7Snq8IcWRUvfItqYvLsFkypuaFQr1IrLc/RJV\nR1wsMFePGF9OLOyAsoqVe0W//orh+oKL6j1+WGC+G5iUoR3eMdqS+sN71Fca2RjyDxX28CWX+1ti\n3aPKp5SHt/DqHCkFfv4CSVswe9p3a1JjUFZ9DMVp2zOOs1pajnekqxfwD36OypCSkF4/xT37wKyR\n3hHTM1ANWjpS84aijiizQm0eoZ9dARXyh9+h//xH5LglhEyRI2cqw9NbrnY/5uxug3p8YNN/hjGG\nJELd3WLSzJJOeEzW2DgiI3hbMZbfohCq6XPs5jE2e5QxxJwgQ9y8wPUd9HOxy9TWlP1sm+jNSJVL\nRj1RpRJ/DApqpUgIbSoYjGd5tUKOHIL26ljkcdzWD4/mP6ubE/pHE1kJw9l2boFTiqjmLc5KpLpb\nMZweWdXKUB+HYZiHCUVGGUPOmcXtCb9Np6v/b1djCj7sE6uVplSRISjGPDLUE8GXlBKJVlA5oZMw\nFgEbPSau2CP8NYoz8bPVQjlO0DRK8VgSv5SRusmklNgHBTZz0mbe9vdzrCs7RAViTDg9kwp0VPhg\nZyQYs/XNA8ZofBK8MqxKjcTEPjlONUx+9gz7aEgqc68yd25HReC+cRy84YlRqDpzriMhCWFa0eiK\nK7UnD5a7+4QXYWTuS3g/ZU6WAiFSmwza0U3zCfJZBXsvVJOaVVxRECEcg3RBCY3O+HhUSLP+iDQL\nIjijZ2asKD5W0hkgZXJSPLQ5hCxYBGsSIEeyhZ6nM5/BuU/SbE4sioltUXCSLO81ZDKPo5nZ0qII\nklFoCjWjE0XPBJEsfESoNaQZVoWiP5IvnMyca+RBuT1aXzQfhQ0t+WP5n1Z8DAFyDM7FY5mSHIfj\nueTpk+KMUh+5+OrYkmlk/v7zUaT/SKk5vs/HQyA1+6HhwXM8v0qpOXcxAVk+nXj8JtZv1YD8qInk\nPD85Wj2jYVQeuL0+cFkVpFojNnBm1nRBeHdbcN1NRHFYhNPC83os5053JRQq0xrDSSsoKemnAydF\nwmZN07Sc2ojUFpUVziZigKtRsZssOpbsI4RQoO8tRlv2PtF9l7B1zU+ayO1oeFbdsXeWq+vAh73H\nqQbEEYuW/+WvDmQxLGtLpmFKEXEHXq4bHlWB9aJjCB7RMPYFV9cBvxKG/oLd1uDYUjQT1BamxGgz\npmxxVQvRwG6Leu5QBtQy0jQ1k+pRTkOYn05NuqDblOy/HlhUC9zRt6XrhLksoInU94Fx76l8gZ80\nRRFYLks27ycO48T5+QV33T1ZaS4LRe0KRG1o2gobE2Xh2VwJ1g4Ym1lIgysHvC/Q5lva8oLufkPW\nhpQGLlcGjnzN4QDWGJ6elRjucc6RkwJdEJPGTxEvV6yamn0fORw0xtV00wGFYV1l+qjRMeB1Rqma\nGDO+jJzqEpcTvhT6MFFqg7MG/IwSHJPhEAe0ntWGSie01gTtCQJRR0rRaFFkY5nywKOyICgh+oRX\nmZCFKWUmrY9KiwKVMMqQJFCJIelI+htBkd/tdfH+NSIV43WNkwM71lRsya6mra9w+jF7rqinFelU\n6P0f0uQNi2lLtR0Ai3ihv1QctqdIjqiQWHcF8f6UMnt0dYpdbaGw2Lgh+T8kNx0S75GpJdJSmmv2\nqSKoApGC3BluMVgSJQ0iETXVrKueQm2QkxP8/Rn0kaqbjw2z7em9JRwc+ewGp4UqlXD6AQekqUIb\nIEJqNV/I16TyLRlFjkJzXWPb16T9c7R5Qvw/36O/8EhlMe/2bGOFPlmyXH+Lz5nidsT8w38J//wr\n5G1idEtK9w7RCs7+FWP3U+qwJexqNAorsyd3en+gelQgbo17+pYUBdkkfPeIogd3/gr7zVeolwPm\n2y/xV6+xP71C75bI5x9QX58h334BJzfoeE95tUHSl+iNQu3h4vHX3N2WPB9uWBfv2J88pfr1ezxr\nLp3iV2bNYvRw9orh3QmqmT9XOX2OIRGOD46hKFFx+ugDNOIJTUNXf0vtv6A6HL5ne5gHYX+6R90v\nPkpERaoY9cTgAkoUdpo3a19mRI7bp8we+OY4MBvJLD8cC2aOnkpBf5KjXMVwtp/1JpUpbxaER+95\nvjnhu7Kn6o6NfnkeHJLS6Jx/b4bkO9mzckI3arrsSNnNRIckWNOx0prt4BBrWSrFUiwfSEQG+iwY\nZUkknHY8VoaUM7usCDqRAryLFisareMRqyrURWZImYPXTEZzoRPbZMhekUWzIjKIIYkiS0ZrED8P\nVb0XkMSqEuKU2cXZ2nEQw5AtJ0rTk2maGe3qdOTCBGKAoAxjnnFmq6bnxgsntkehGDNcR0tKmaRn\ne0l/H2mO8YJhn+kmS7vQkEeMcgxeU08JkuWm04Qjy3hZwTgkMhqrFF0UEorKKkKCKcOpjrNlIjGX\ngEQhBT2H2GTOtrRWCKIZpszCwswBnwfVHDTaRhjh/d7wZG05BOFAJtjIIsC27Pm6ijOpa+9YK8fg\nIj8eC94bIUrGZcfq+LA4W7EVVuZhtpk/yqezlwfPcM5YrRgkf8TCzWqyHAOAwoOGrdTsAC/giKCb\nbSJGMlE93LN8GnbhY+AvKTCSjqFRxXQckedCmNlT7CTN1ps8cHCJyldE5Wah/XgKVc6mO36Td+xv\n1YD8B2cHDnkub5Cc6fqJPmmsq1DKkCeBsUZnz9oIT9aJbZ1pbEZUpIslf5Q9NoOzE7Y9KoGFMI0H\neimZxpJbH+n8gbt95qzTnFcl9SLyzSbRoTnEyC5XCBOLXBF1j4lgteF8ZfB54GbyNGVmq1uQEa8c\nLgjnZ5b7LkMUXj61hGnLGBZEPfDCVDz5bM3ob2mLFWKuOKlrsvScdEKKFltb4nq+0YsqkZOj7wJZ\nSqzv0aPGlxljK3a3icN3lpjg7X2itEKVa7QpKJ0m5C2F7CjtHp1LXt/dclasaduRot5C7mGvYGqo\nnGe/G+mHzDAMtPdrhjQQpsD+tmfhOjQtkhMKYbkUcspU5xUyOKrzkRw1i4UmiSKMFmU0KV6wn3qk\ngpyEwhQchon1eQEp4gqNrg2EBH5WX9GJ/XhPa88wlUG2grRweXHGZtezGzXGNBQus+8SxlhQmhKL\ntZZUDlzGBQc/EozDWEsaNEoL2yGAGCpbIgZMUWIo8anHWktImoQFmwlRSAYQQ84BJQV3PuKVoMWg\ncsbnhDXuqERbvEqYfPRdqYKg503W2t/sk+2/zZWKO7y27N5dwCpwfn6C2Vmc2rHtzynPFHH/nLTc\nokNmOdxjn/wK7j6n0lvG0hP7U0r3ikXcE+o9w+4Z3c0F1/4l9erXlN0ZVbCEZGciCNeMW8PkLCdm\nz9YlpsNjkuop6pHdYYlLCpEB/JqpvaOgoVwGZG+It58j0hMKhR2FKXmMuSZ0l0xfPqXZvcdNBTmc\noKlBZpWTkFFOI4uetvzXDPmPcVGRYkvoDdXTX8wIpwH2627ebA4TfrigFo85KBb7Hel5gdV7yHvS\nn7fk3RXiHDp0TPVzVAxI94g6HGufjcY2O7wXUn5CEzTqF1vkRYIzg/lQMekrzG5DPjyB8w3y2TeI\nXKBe/gKJX6Kv38BtDfcNwfS4m4RIgL9egRuQb3eIMrSnI/n6CYYttr6mUisW0z9nihcUJqFffsNX\nb35MaAf6DydUq/ds7o+c2a9GYpew/QtMUITcMT26prx++gnyL4HT7hlRQ3h+B3ezd9msX8HdF5x0\nBf7Je4pvZkVXW8UizwHF0X6yORTDzMcHSOWImarj9TjwfeeiUnODYlgfUMcBOZFobhaIVkzLA59V\nhgu3x//pX9P8xZ/wSiemZvvxMzfdCYZPiuDv+vJxPlLvQkFF4slSwAjKZ6ZQUpSBVhtGBkRZ7lWg\nzoEDjkNWWIkclELnwN5GxqQ5EcMX2tH7FVk67o2lFkW2D0UVwuQTOSqymhVWow0qBBZGsZNqplIl\nBVoTc8IoxaJQ5KxJCYakQDSlKCQIXTJoLVxULYe8p5/m7EqhFWM82nWyImmFLQ0HMrYYiFkRI0ze\nkU2gOJZ9uIfw9KTIShOU4XYw3IZEu1bEmKnmlhSij0y2gj7RFoZuylg1D8fCTGEo7GxrGILGKcX1\nHi61giIzg/Q1hzR7uK3OaCNonUk+U1SWkDIxWJDZBpQEbHRH9jLc3CmCMph6YBssfczoYqQpLZsu\nMWToVeYzvecvqnY2+8aSrEdyOhYvHdtLTy0MYjiRMNujtf1oYzAKJqMZj1bk4qG0RRLxeNKasnws\n7zBzA9Fsj/redTegKB6a9ODjbToTbj698qHxD5U/miRE0sybzgJK2FQRij0v6pE/2z3mh91s0CiP\nr4/MJw+/yRH5t2pA/uY6YsvE7c1EWa0wbYuKB05WC9pKGP0dioo0DRSFRZkCey9cjQk9RHZxIrs1\n0u0xbU15bQkmsFiWDIPHhQGUsDQFSkO5SPh9h3eB7WbgtLxg6TsOTeKnumcY9qwnQ1cZKuto24nu\npqNcNJR6xDVbUkpUpsQtDOIHypPMZ0sHxs14qlogDhA0hICoK9pCM4ye0Uf0lDC+Rp202KUwXF1R\nF2dYLMSebptYnjagKwgO3ITOlthPnD6uOTF7dKl58bLj7kPH2laMfWC1akAbwgA3Q4MzhlMx6HqY\nk7nakY/BCbIHDctFwFlhtbDkmFkoh1rUoKFoL+kOmRQik49sbhcIE3c7jy0MYzT4uGSzvcOYFmUF\nLSPWWgpVM3QJheXDECnLNfvrA4yOpi0pDzBMLQfdk5SlHwRtV1hVMYZM8Jo2lbjJE6Ilqki3V3Sm\nZD9lJCvGKJzVhjgGQlD0yVMFxcREEk9OelaFpJ7tH/1cP441GIRCHCHlj41aLs/HbQjoPHONxUSc\nKjgJM7YtonEIhkBrQaHppoC4GtREngJoiyCMD92fvwdrN50yTRqvdqy6L7jZXbG4fEcelxgpSZtM\n0+wxfcLYPdavUWiYalLeY8olUQnpsCbqzG5/RlWDyZ7H1Z6r53+I2r7jw9cLlLnn8WL+leeW5xQa\nZDqlPr3GfvZXhG8W+PIl5sPIWO7J02OKdseUFfWyY7kswS9J8RbHOeItPifwE5y+YKEKivsrDs7g\nNj+gPP0WPjyGej8PS35B0hrZWKbVE+r658TbC8QbxH5g+lCj7SVKNFW+w7oBthonvyD4S+r4nHAe\nUUEzyY+pyl+RrxaorsIW12gLeToQ3ROqQZPaHjtW2Fyyc1/QlANl9deo7Tnc/Ri9BX76bi7HyBU5\nT2glhN0z3HBDSDu0akltpA+PqU/eEk1Gv68IWqOuZ48896ckEym2GrGObXsPpxXLD0/pTg6IeknV\nHPADhDc/JKqO3u/pQo3rzllPHcMik3/ZksuW8fQd5XCKHgf0JDDuSD+YMW4PyDXJeW7GO/qRVYZ8\n+g3+eF3J0acf4/AR+VRM+ePXazOHe/1qBCVon/GrES2f/JIPAbwH9Jwo+Ui6GJc9f3pi6Pc3fOha\nLCtWT29Z65ZfVhvU8XQbwLfb37Cb8d/umqLBJNhnx7LWvN4FaqfJ2VCUmjfekXWmz4ZVygxGsTSG\nwhz9q6JQSRP1TA4ogmJ0QsiRbeX5QZU4T/DtVckNmdNqViedFU7tiCsUTZERM3G9KVgWis0uzvgy\nFEFHUtY0NnK2ioxRMwZQbv5p+lERs1CV0LjMKDuqDH0qCaPHa4VPZnYiqLmaOAxQlRqV0uzTl4I+\nCIGStoiUlpnYkYT77BiCMIY5g3NaK7biSFkRQ6bIQh9Kxj7T1tDFhDOKslRIToSoURZqp7BWKGxE\ntGJImm4QWgVImr3MaW7uRAlDBH8sCDEG+J7FYYxCoRRDPtoWksJnzX6ESpUsYyJj6cIcEK+1JtvE\nPlrehAUkIU+KlkxpHf9HyjyWyMI6Fhq+CYYzE/gGTYqZC52wx5lVH60OSWYixaeTFIVI+qg4Fw/Y\ntyxHO8VcHPSgRj9YaLLMITrF0S1yZFIDR4zb/IZZZtrFQ7FPEOBsx18eDNVQ0YjDt4FcZfwhfw/C\nCZBZ/Ibv2t8qisW7//o/lk3XEYPg94mOiJEST+aEgLUW5TPKKmKMaBI6VlRN4npIrBwzWQCDqDnZ\nHVOeSx+sxacJ5SxNrNmqGUXYuhLvI9l0qGDIZPrsKIxHUyMykE2JyjMv01monQHlQWfKk3sqtcaW\nAvaO9ers2LuZ8XsFaHa7atL4KgAAIABJREFUuflq00+UqcJnoa4KrIVhCEhW1KVjHP3MI3TCuTa0\ntaWoe7St8LxFlwZ79gQ2e1A1iGM43ENW9LuAUlA3Bt16ikITpkyhKtAaGoWo2b4SV2CeXhN/1JON\nZ/cWzt+1cCjQLx3Xv7jivDiHXUaXT/Bf79DNEpkU03VPIY5r22Kcxw49pQ0U6pRNv8dITRaPYWLT\ngaOYu+G9wovnEDJltSZJz304AeXwyjFNE20LKRgm9lTGkZRhCJ5CKYwtiTESgqGynpATWTRGzb4j\nqxKk2bphlSZKotAGT8YojbUWl6ZjAtdgUFgxTNmjjRCw+CjEALFUSPAU2jACHMkVHDmOIoJDqHSc\nBxVTEjKMQUg6E2SuOM9xIh6bjoIS/os/+91PwwNs//MvpdR7vr5tKXVFijWnj69JOKwkXLSYRY3J\nbyA5/MOwkyMDlhCWFLanSBc0qxu6dIrVmrv3jpMnic2NpapHlnaB1Z7JGnQ/e9yKx++I2mCqe2IT\nkJ//EaHs2fqOw4fL2Z5V7ymac/RuYrQ3nNoTprJn1ZWYVUEYhKGssOMW0YrGKbLcIM1jcrbkbsTb\njtZMTKYiH1rqwpFPDDffNlSNZdAHql4IZY+VyNPFAJc7stJzUKZfEdwJLmwpFge64Rl18Zos59j2\nnpyPlhsb4fAIgNy8R+cCrTUpK7QdULmGr7+C579inF5SdldEf4lKPfzgHhlrrBa4FNS1QlyHKE82\nCrt9Tmw+oA6nkDKm2QIaubqcT2riEtO8xvcNkRadI6rQcIgMqmInA1qtGA+WVgK5aNhXp5yf3bKU\nxDDtqLVDtKJ73bJJgj9JTPVA1b/4ONjOdod509PfC+1wcYUcVSSNYL9ZED7fY18tP8by95/doPWx\nXW+AB+emPLyvCK6riO2I7qv5tOZowxCliNWMaYtl4rObJWqhmMZ7FqtZXT4zwp+plhjmUNWDI2Px\n4QmHJ9eIyvy7/82vf+fv25/9k5/Keymw9+CtI2vFqvQUZA7Kcm5GlAUTMgfliMcHeqMVISum7ChU\nYFVpjA3oaCht5v5QcLoIvNtXpAK+aAb6JHgpqHQgAG0x4rRBTOaczOuuYgwGhszbsKBkZi6vq8w+\nQMxga6EIiX1hWdiEJE2TMpOaA2CihV1UXBRz3bJKwt4bapsQNFopOgPPjLDtKhblbN/YpEAwMwig\nqQLnRUC0IalZoW2V0MkccqsUDAmWFZQ2zUE6IIn+RGJBKHSeeb/MJxfOwKZzOJUojWI7KiYxgPCD\nk0DQs3JdOhgDpJjpsqFlZidnydwnh0oZSUJSmhA1KEWlhJAFnzUuO4Jk/LFXWimHH2GhC+7DjMdb\nWMMPrOG99lRl5jAkjJu9yTdDQTlZPjMaraAyn1r4PkYxZR5nHqJwWeaiEZjpGA9eZC2fCkqEeeSQ\nh+DeccZUfArbjUDJ0Wcsn5Roi0IfqTQexZ2LKBXpvKUpprmCugic9ku6PNeIuOOQPipFPbveefnf\n/rPfP4rFu/cjp1WBqQrCmeKL0xV+Ena7A7pUcwGIjzhnKJUh9PeEMdHdbVmWJVOy7Efopp7GlGgJ\n1Fbhc8GqqnlcKzbbe84uIo9DYDMKGxG8neH0ujQsq8hSIgvlKKqEW1Tc3484+mN00tC2LWXp6IeE\n0icMk4WcGMKCvBe6XULlFlUKh17QqeRsFWiTo208kzTcHiAXjpBgmQLL5Z6LJqOUYC9LpjShb0bC\nQej7d7O/SVcU7255crFE8oiuFXUzkcXinkXMiUH9eAXbr4laKJIhngg2lcTdBnvvAIVtHhE2n5F/\nXlG+vuby/WO8DBi7gp/tuWx+CGeR/q6jUC05KAp3wj5uWT5ewlnF47rCVm5W4uIAuuD07RYzbSiK\nJTQveBSAlIi5Q+uWLCO3V57hsCd44cR+h+QGgM4YphConcGZEld2FEWBTpqqKAjek1JCbEHhPHLE\nFM3FHEKQjJh4LFMoGIZAjB5ne0SVKCw2RmbiZ2InJYcY5yY+DMJIkTIxQqccEQOjIpcaCZkhZkJK\nTNExSMJjGHDzUW7Wc8WvyUjW7FOkiBljHPXsJMHL748HuTqpeHMDlWgkTuhyx5IVqi7Y7waMKnm3\nu2GRz9nHHhkf4+wNpDNCMJycTqhKEaPnLljkEOhWJc3nkbwZebYSpNoRlGXb3dOqFVMWOtVTbD5j\nmSPGFjh7IJ7vcMs7+PU5hba4P12R8xnV5i06Znz3BF/ekdUz7tLAYkykxR3r/iWbeEL+siS8TuTP\nH5GyRWdhVd2zuhLebVvaixXpi5Kw2fIofeDxyTMG95rTrHkXCkLfMUznhL1jmeFEPWM6v8Yawd3v\nGPMZ/kOLKz8Q1XMKWeLXAWPnYiJXH5B0hbYWPVaEfYNojap3+PdPKe3EjtfI2waX3nMT1hTulgpQ\nmwZObwiAefsYNWX0AiQVyIdzphyAzxGbiH3EuhGvLTkPoBMte3Kv8ZOlrCy68PiguHenxC0URUss\nz2gWAdVNWOlYHt4j6p631wVt1TAu76mqjoNZc3seaMc19YUDc00+Bg7dq0sUs7qHVkznr2g2L5DN\nBQ8HK1oJ3edvUEoxfTZ+SsoPs9BBDaZyPJzRqs2n6zEjFF39MVj04Kb0J7tPmKiQmHyD3u7Zx0cs\n2o5WGzhJnH+75m59T86fEkHV4oof58DXd/9f3kn//61FKSzuNddaQYpYo1mUidJBMwaCcXQHodea\nMiqiGGKeQ1uKRFlmnFWzrWx0GDIlBSdnnvEgLJcDjURsttz1BbacxY5xUuRiRVl7upzZ+cTZqdCO\nkVe+Zinw95dzyOpVmk8yD1PF4CMnRYH1maAtLkViYShGxWUx2zFeFganFKPA3nl6lbnaW85q+MwZ\n7nLGq5F2GbkZChb1SN4v2I5gxc3KbTA8WkXqYh7M3+wtyhhChhgz1s1tc3WAUs+1yiFrppRxRmHQ\nbNUs1JBgDAVTEsZosbjZihBnBJwxwvWocUdDrxvhkGZUWsqaXVTHgVMxZotJmSFrkggi8y7lzLyP\nOKXQ5UxHykFTxIIxFyxM4sJBoRRbFJIDv/CZXjKHnWZhDXaKtDqQPdSiyWQqqyi0fLwfk4BXc7zO\nKSHl2QM8/9sDMeMTM+aoAwHgRZOPbXpCJh8fgvP3PMia2SOeH8KA6uG980f9eczg41zzErMl5InT\nesI1iQ+j4pREFP3xPZOKjKuOD7dLXv6G7pvfKgX5f/3H/1AajhK9EyQoRB1QYlglw62JGNE4N9cs\nHmLGIAwOqiT0XljZWVUwtiIOB6LKONtQFR1FbdgNI8WwJpqZfmDJBDznixJrEr7okV3FqomMvUEv\nFUtTsSgiRmeCT7MafD9xcd6iabHaMo1b0Ipv3njG/UBnF6zKBaOLEO4Y0iW2PKD8PT85fcpd944n\nz06oVx00JeF8jQkVebiGjSf2b6nWpwx5S6EfEQtPWSzBGljHGR5ZltAYgnG4RzsYDuQA2v6U6dU7\n1FRQFB3pX7wmvSopvrxFfIY74N9fo/5OC3/8kri5Jf8PG4qhIDULjO8ZYovtPKGPjCZh2gx3Qlhd\nILcD6zYQmhP0xZpKX/Dtt99x3/WsaWmXmqY1WKfZ7/esTyq8TGhqtts9Jp/hp8TtuCVOARFhMCVO\nGuqq51LvOGtbPux6KlsjuuBmP2+UwZQYfUMOK4KMpKiRbFA2omUO6TjrScoSQsCYgBbFVkEh9iO3\n8SAGJ4YomhACqczEMWBNyRiFqGtU7iEKvrCYEawRstKMKiNpTgRrrSm04INCS8QYxRQFJ4qq1EQ0\nfspULvOf/m9/+TuvRAGM/9WPRMctkzuDPhPLjkICQ7IYgUNsKU1iYfaM9oJpSuScKfUpXt1QEugO\nLbpJKN9S6SVj8Z5VatDLzG43UIpDas3+fcKeRGQo6X1NVVrK5TWLaomP71lnuGLB7u2Kcr3HPl+x\nvpsIk2fvDVmvUGmP0wu6fMPkn1GToXjLyj3DfFUwXW3Ql6fIMDdmun6P3Ue8jxymBe6Pz+AXE1X7\nLa1Evts/J8drQm+ptJ2T2ylhTcH6yS1Vfk4oR25ubkE0frxEpUh07yn8GSk5rBvRWrM0t9RWOJTn\nTOrA2kU2vcY4TcwavVuxrm+42b8gS8A6j08llYaQRp4/vYXplK44ZYxb9GhJkhnZgX+Kdm84r08J\nesIWme0YMfsFprDkaqKtBkKoyWpu+Sr9E3oJPDpJfPPyCT+YXmEPlre3B5Rfz4GaKVM0DdrAvRmw\nPAKTmXYD8dGB8u0K/3lPbvzMMNaK9c1jCjreXowU352DCMPFm79xXT3sRUop9Exz+1g3+7B0X/3f\nrkcl0J/sqLZLwnr/N9Q9AJWEZpsoUyL5hsQJ1gaa5S3nq5LG3OAPJ2TZcJUMz77YM7w64/12Vq5/\n9D++/Z2/b//in/5UYhRaO2clpqBQRs1H/ChqpfEyN9/VRhPiPNCIVqiY6ZXCRmic4JNmUTu6KWAq\naNXEfWcpy9nG9nZraMs8m1eT5rxUjDJS10IeIr2FKjreTBUXJvLjReKDCFPOjKNFTEFOgbVT7Ib5\nPUur2ObEs1q4KBT3MXGhNV4izihuc6bPMzrMBstPFo5vPGyyp1Ce5BfcJwhjJhhFKcIkQlsIy9Lz\nZBGZvOL9vpiDaFkzSYaciUbj0xxOM2pm4VsVOWsVJmeyFoaoabUQMUxZEf2s1Ouc0KJwSohOo2Kk\nKSeWhUZlS8iKISq0CCnPmIsokfVixh4m40jh6MM1jsYkDIleLAXClBULZzmNgb6Bz1uIdOx8wdXO\nMUhBgRAyPCqhNEIVFAs33xedGPoo9KK4NMJK59k3rOCmspjcc+Zr1JHKlP/WvPjwV6VgfPAv55lK\n8rdf8/0VZz/FUTGfw43wqV1vEAg5sxOhz5rSQKMT0SSetD37IhIGRzfBKkHxFF7fVDDN2N7/8L/7\nzdTD/1YNyH/+n/09iQZ8UsRYUxQGMQkTDyxqfZTiF4QUMboERkY/kHJFEYRkJtp2iSWxaldzgErt\naQoLKvLrN4qL1YTVHeSSlXW4cqIwQlkovA2UbUkOGvFzCUTMeygsqm0w9RJsAG9nSkQqMS9OZyRL\nBIige0QbggjKK5zE2ZzvA6IcSReoUM5+I5H5yioNUUWMQJ7muk1GmNIBLRYdMzn1OJfmI8A2oad5\nQkveozUzYFxKks+o6wJtR+gi0n1N3Gfc330G/5EF4+HJj9hf7mi/+xr9v0+wc+BH5C7TT5B2Hmtf\n4MSx3x04O1kip+AnwVqLcQa5gd31/NSevWVRQb0UJg/WWqpqwdjvGPcTMW1wrp03wDaxWAuucJBa\nYMHmzbv5ezVnvL0eqatHuLZmUJq7fWIKQlQJZN78j3AYIrOPyciRMYPGoWejf85zm6cIWiWydqQ0\nK83piOpxSmFVRmW4UBHRNQcZGKbE7QilUZTGM4WSqAQdJpIYvBZEFQTRc4JWWTwjNrq5YOB41CYi\nM7oLKHLin/6Ln/3Ob7QAb//x3xeA7jSxCppTdSA1FXcSYb+n8z3VdIrJLfbUUeee+qvX0A9s3v2U\n8f2GUO344ckfce1BvxhhsSDfB/o8UthIShr5XrAxA6WbVcLpfgIzT1DGKtS7Ev00YZQwhtnRKmj0\nfq78jlVFvbYUQ4alpT86TYsjwz+H2R8bujmkVWxajI+wKFgu7tkNjzkp3yMHzW1fcvF4pG9WTK5g\n8e4bbnuFyMQ4PqNZJJqlx4qiKDN9BHwLdofPgbR5QmJLvR6JMdJvSnJaILZn9aUjvLfUyTE886Sb\nft5sxlOQTNM26B/Oftvp55GoFWWYmNKB9nxBOJRoIrG5J+0Kpn6iWHfoCEY9IQRNNlc0pqVYNsRi\nTxpBciL1BSo3xKTQ1Tua6Quim5DmntyfEnWm8AWjRIJkmqWnKc7Z3/81Q3yKVhElFUlnKK6w+ivy\no1vszRnT4w1+2PHMrzlTmTcbgz4Z2a8t5dua6dkAIqT+SGTVQlWX+JwQDJPsqNQCdQdh2eN0S75X\nSJr91NP6HtM5yu0Z1iZS0uTnPcWbllS9Z78yNN0JKr7D3z/FLSacaFzxARdbLk7eIuXnmPGOW2oe\nOcXrbxVjoXGi+OH/9H/9zt+3v/wv/x0BuCCxUQI2sSgUfnBsQiRGwStLaQ2tnY/hnxY9d0nohpZX\nXaYQxeNLh/OOx25goQreJkWVMzWJEUX7vYTW7EfViMAQ8kdEV6Uy26Sp3VwJneJD24RG8hz40hrE\narZKuFBwdnzPSc2H/el4fL8/DvJB4E4UYhStCVhdEKUniEZNDldPnGBZiOGfTUIzZdKxPmNpI64S\nRhQLFdGi8Gke3lQQBmm4S5ml8YQsbIaSJJZKJ/7oxPNmMmireWqEqxEGUSQ1zytPas25m/m/7wZF\nIcK1UmwH4VnrSdQzXpDIVSi4G+B5OZESnFaam2hQUVBF5tRFFlrYJ8M+aSQrrNKMed4NbaFpBQ4i\nnCjNIWm0nvM5VoQzMxHbkq93inUWjIZSabQUIBOPS0NAqBVYSVxHjS8nmsZzf7/gzCRqMewEVmp+\nAE1HO1NJJihBZ0GUxuZEVBpDZi8GrRQ1wiBzwE/l+RR2mo0aGBS1VuzzXHNttWGlYetHfuEXvCgj\nRk94MlEJCzdQlIb7YCiToW09P7+tWCXDiOI/+e9/MxaL36oB+X/+R/+BKDIhBFauwpaZymk2Y8Sp\niaCEEGrQwqLWLPRIs3RcFI5tN+KHjDGKm2DROTEZaFPgJ3/3C5wZqKwn2UBpS4yZw1i6XIITMJGc\nFUo5VM7Hekj7aYjFINmAFqYkMyIqg9EFkbmNSWTmSJp8HJDU/Hmcq4FIYYV42KIkoOJInuLc0Ccz\nhUNCRBWCIqKMIDc9Us6eRGLBdtxwsrog+x49ZThdQpiIzmJur+mLgipnzFIIZwp3egax4/7VG9Yb\nwRcFJjpM/QJynL+3uIQBcCNpatBlRlnLwR+o7hrsP/gK+g7urujDhN1s0GFgu7Kc/50v4M2e7361\nZb16SsqBKDesTEmxihyuA3ebFS9//G+4e5df27btvOvXWu/jMedcj/06z3vtOBg/gkNiggxEQrGs\nxClRItRiKaUUoEAViRp/BQWkIBACJChSQUYIEApCIILtEF/7cnPf5+yzz36sx5xzPHrvrVFoY629\nLSERsIF775CO9lz7zD3nWGP00XvrX/seF7ADaqV+ZfzgTvi6rNxOA9kWJHUsFKxlKk6SRrWO1grW\nosgZLa7vWaP1VXE8JTpqWLOtylQbycNtxAV2dAxD42kzsiaWWpjU2O123N8fOeTwmX11vA+/4s1B\n5WZdoBaGYUBFQtQF4InStjwpzXiDQoiIlq0YN5y0TY5NDbcQUKjDv/37//CnfqEF+OG/9ZdcVXl2\n01H2jeGU4PkPmXlOXpzqiYMmdHjFvLzAsnMxNNb9H5O7K0q9px5/FVmU/nZP+/gL8tWXvPLfopsm\nzutMdqEKG4UGZOPwuTuWBNn4gKrveeHq7z02oxMv2z2BsR+Z60KfR0ShLkYegtcXXRenbvFOOYNX\nIYnhx5W9zcxzo1GwNwPWMik3xn6A8QtMPme9LfTPzpzeHhAiYr2O9+ThWYRppDuuhgP3aSF9NXLq\nnOa3ZDEO63PmoZJ7Ic09azb62Tl9vCDN6F8dmLREyEmfA2ZpidQr890Z957uxT3nu56xwmwz2Qfc\ndqR0xq6isyKTUZdEvrzh0jvydcLvKzf3A+m6g6Mh5kw7oZsg5w4piXk3Q4PSOkQEOcz42wPXlyu7\nXpiHW4ZOGdcd7Rvf5d2Xn3E6JUTDc369SgiJ9L2eX/yNP+LLb18xHb/JOt7DC2H4YoeIcU5z3Dpx\nzlev+fT8lFcXE4Kxf/0xnX4B9edoxf6EUj2Nr7i7Fq5efszYzXjfeJLvWFWY6gVteUN/lVjnheXu\nGXM3cpne4lKpy8d0uy9Rczg/odJh/df8uaHxxZypbvzyf/byp/65ff1v/hVXgeO4Yi3RknGpE016\n8urh4dspOc+kdQAThifGvC48H4SbFdQyX3lHasJ1v5Kl0DOy3u+5oDGLMOCkzXZrleCIusNenPWh\nNa/BE3WHFX1MVQunBNl4rnAmcS2V5soqSmm+0Rq2ZEaB9MAL3uKqJ+DOjKbGbIneKvMqnOk4UOh6\n5U01niRoVUldQ0oGN6oIC76FQUFT2I2QlsJ96yntg2ianPFauUyGpJ5jdZIKTwgk9daU2oLH3CVj\nr4HWLtlZZ0Fc6YbGMgtJjZui0ZFMHT0Lo8Y39Q7Hlim5MeTGmCvHptjc02XDLbEAFx4c3KywYnRN\nmFz5RBxBGNT52nsuugnGRl1iI3I1TogLx3lHXsJLeXSjeaKJ8qo433xxx5e3Hbs2ssfJKtw5JIy0\n+furOFIL85AYqoIbqwjHZvRdx9Kc9EGtWRz2KhwBU6Oj0fczU1FGz9yuwuVQaRVelgNjdfrBqGok\nVxIrC8KMBhAGoTtyZVblX/n3/6efPQ7yiwtnXoQqRvU73K6R6cSnOwPfcZZ3XAyCzI2LsVLaSFng\ni+MtTub6MLAshSF3/MiFj82Y28rxH3+bJ8+V7iNh0EvQBpqQZGAnfHZohqZGFMURddmqIPSs5mE5\n5JmlRBxOqQ/+f+Gnmki4C05BFSqJMRkjHetyi4jQtxmtK1BpBWo7ky9fgM1Mb2/oNXFzf+B+XrgY\ndhQGPr6EYzrS58+4vvwUdif0WYZDA72nrT2e9kj9OQ79F/jTJ/ibe/Q04M9OyLuJJ7/m0F/RfyTw\ng5ewewuHAb7o4flzuPgluPsK+c4ZOT2Db71j7DLrcGT6X/4BzXIYmzdl0Sdoe8Ly1rn770/hfZpf\n8OXpjFelyRNekag3mz/6KLz8zkwwizpqrXz+9Ip8u/Dz+5lPL2/JCKep8PIslPuRcdfzc984MXZ7\nkjde39/x5PpAnc9M9Ghybs971qNRpONyN/DurvDSlOV0xn3mYpfp6szt0XgpId4UEtWNt8eZTuBu\nMfZ6Rm1gWp2OCTNjp8B+QNOCVeFpypgZlwehSgQJdD7hVcg5Y7Vw8hgjRQSho7ggSakUTDvWnxG7\nKIDdWnG7Jes36F58H7dvwu0Tdt98yb39AjsKy7KS3n6THqM8e8v5OLLrr2jVKKdfoe4P5GOhSsNP\n1/ibT0mXbxk02nvleGLPJ9yPN2RV6r5HzxN7nHuUBzWJmdHc6bqeJD2tnNHckZLQWhS51ZxlOjFe\nHBAz6nlBuh0isRA68WdSiWIWo2VwUeouc2+XyMGYpxndOf0xsztnzruEtI9xN9pFh7dnqDmLKl1y\nUtfF75/OPJ328Pzb2MtfYj/cscPxfUf34ofkHz+jecfU3bFw5KJPSIW8Zk6ngetO4CrChi4K9O0Z\nP/YTwsDTzxrq99yeLjBZKZrRfk8DxuqUi5F0VlZdsSUHgnN3zbpzhpeN9KzRSkdbDe9io1FPIz5O\nsMzYaCiCS4cvQlXolwMMxjLAcxLff/uET/aG6x28+ozy9RDx1i0xHlbsix2pJebhC9784DleRspw\nCiTwlTD2J8ZB2d0aXz9r7F8/J9kd+TDy50vhbtqR28L+6cLl8o/5zrxDzXl3FfPv4atPGO0Vtfsx\nN1ww+onX60q3G9GlYzZnvstke0Eev+AC6HuBrmM9J8rdNxgvvuLMJerv8OXn+N76Fm9Ot0Vn/7Qf\nZzWm6uwFcirszLlfBy56Z7WepMZUAAYW3RRqt0brer5cwurwWQf9UelTpU2ZkhPr0pFz44zzpjgX\nnZJWRdV47sbbMMNF23sBWHPHPBLpmiagoebMoiTCGmxnDdXKKsqKRPGzIZICkach8Z/IFj4iwgUw\nArNtHUZJ1F45WmHR8LS/xqlN6RSyxzMxumIJDlIpGJ0mpqHQW+VYh9C3qDMk2KWFJQUffp5T8HOz\nUKjMWXg3JRiM57al/0njJmfyWchm7PYrzYXz0tEBvSjXeaPwpspOCBpMc4pF5LW0jtIy85zZjzBL\nxlu4SXSEI4xuAr7Ot9Q8UV5XZYfzRpRrXanmiAnDOfP1YNg04JIo6yZ4b6Ca2bnTUgJrfH0eMJNI\nPXRnMuUsC5obtSU+9YHXm6tFlwpfd8auDNy1yjiunLoj4/01M3DYQklchFMTmjcGhKTKbRsYMvG9\nbkzrgZ0s7PLCXoy7LFyLcbsOLN4zdE6uwlIhZdAmnFzo+TOpjYGfMAT563/nt9010WxhORUWN/Ka\n0TZxbCt5MYbrHTUZy3mgSyvf+ARyFqYzHI8roFxdw+HJDn2S8NVJlrZ0mg73hui2L/CGUxDVILIh\n4Dm2r1mgxSTfahRFFWUtsMyN6oH+imxFkhlldZoVeoxdPeHdE1a/4aI7kHNmGPqgY1DxtnJ6N3Hx\n0T6s4HZAaazTRH+4xJdCcyPfJjgabWs3Zl3wwTilO1JSxtGR1Sl+h6dErzPvnsBT23OSE1wkDn/h\nIygJ7j7F/uANOivcGXTnoC1Ml6TpSJOZ5JesFGRTm1cc1kxFMIuf3YXVwT2Q8uodTqE2xX1LCRKj\nKVjTR3TdWgzcYg5dwlpm5cS+G/jnv3HG61vmmwGzlaXsOJ4TV/sDqHN3U7C6cGcdOY28W1ZOtYAH\n5+gwZEYDaca9BF/qaIVdVtjOwTY+pJlRq+JUrMsMJixlpWogZM0WyA2VAekT2SSU9BXO/XsruINF\nQVU9o8R46BGKOtPaMFHEGpVEa8bf/W9+/6ceiQL44nd+w/t+oFSQnZAWR/oENegN9fpImgPZz/tM\nlx2//xHz6VewjyG/croXR6bijEPHpAk9XiMXC9UkeKunEb88YeUe60fSqwH9ZInOzLzSLi9w6dG3\nA13/JXkYmE9P0dNEeXGmaYfXEvckjfhXQnkxkfd7+IFjP5+hGfJjkJ8X1vMJfRkUDs0JwWgvJoxG\nHi4A6L6ApcBwdYMsTznaPdkFX3rEoXWGTgm7LKznC4bxRLEnDOVM6woizvNnM+W+kK47slWEAV32\npKrc22vKITPf91zrsCeOAAAgAElEQVR2l5S1UHvgBLlPm4uLcTUIc+/cnV6Tzt9g6CodO06y4i0h\nFLz/gqF+xm4nQZtqDbMUVCOrqCRyg2Hf8Gacy8CZymigahx6pTmxcfSEpeikyPgVrk7fPkcWo/XC\nyEQnyk1xLlJi9/H3WedvwjRws8Ddi6/46NVHdNcTfcm8oTFd3WEkmjc+v7sirQnzgWMzbPd1oJDL\np+zFOJuQNNP0TG9nTmlHZiHVcEC1VBDrYLilni7xHKElXx2cy7oynp+wzz+mtAMdSmVkSK+Dstcu\nsRbuFyLCkIO6s6rj0wEdjvzqf/7tn/rn9n/7N37DhywspiwKO4E1OZctumO9Gi9buBk8S41BK7ez\noWlPUqc0GFMUZDlFCl3RjmZBo5gRkkLXKrstNPpsHWNaQ/DliedJqE05pgQ2MyTB6FiKM+B0CksT\nsoSXcm1K75HkNjk8V2d2OLXgJLs5t1VwYAxfP7JGwMSDXdm9CbMlSq48FWFeIojCxTfxF7gLl9u5\nNYW9WvChPYRo17sTtWVSimgbzYmU4FwyUmq4HS09bdfYVzgbuCkXKQrW2RJ9VyMhcMqsmuizs2bh\nskaSXhOhrYU8JPa9UVeJczOn0xBMqghHhIvekOaUlllbbO47aVifgltdYBVhL7Hmmm/Xtxfuq3OR\nhCKNqrAsyqEzOp2odCA9eQFcmaWy7wTRSi7hxQwJdSP3K195h5DpSvCsK3H9lyTkGkhzWY13Ap+Z\nc1JlTRuwaBlpjTELdyt0Kagz5yXcPNbsSFrAhFWFgxrThhTjCTd5bO6/3mzyLnBchdKcf+0/+fs/\nexSLH/27f8ufjDsmNdZirKeJJEYpEm3LTuhTpqlF4poL1VdUow2fc7/ZvAleGxlj6B2rDfNCL4nk\nFdDgF/O+JZu6IOQjNUICxCOm0TQWywLSFCuwVGctykpH2/pD4Q2YqK0hGkI+oSO5PfJRc0qIOJqc\nLIoqdF1Hj5LSgrphrSGtIaq4gFSjNcCVlJ3aFjxlkkFpdwxdB7rS1lvoCkmc22fK9ac7rAN/W0k2\nbJ4rAkVgcVhGmDVmCJPgVdeGKcjaEO0CEXdntUg+MjOa5O1P3RbdnuYPr42q74tRa+Cpw2uj0eI9\nmrbrkSJYRza/0hYTXVPA4v75g92LDuQS03Ax4dk4MAw7vNzyes6sBmorY0tcPQWKcdVlFtnx9vYt\nVztjOTXuCnRDD3c33PUDoju+cX3F29dvOHfGZ8NTVBpvinMrzjp1ZE5o2oeDhlc0F/LS8NRB7lAr\nKIldF4X66jV8Hj3R56BXLO7gwt/6r382CuTv/u2/6rKbyKrYKaGHQpv6CGwBxOtmOyTYtvDF/xg4\nXcQ9TcNMenuBP7sLyzEgv9lTP1rIb/ZxLV8cSSTymz3l2Qk2q7Dd8VOWq1f095/izbAafrvtxUR6\nvSMNBzB/TFQrxUgpxlba2FNLg76LIACA3MFcYsPTqzOPdxzWK5rJoxsDgNQTpGuQwjLesztmekA2\nClBDMFZat9KOu5ibUgFr5E4o1XGU4j3ZG/7pkWG5xE8dZbil9jv628r8PLN/myK+tT+FqAWQ824b\nX4A2zDp6rfG+sSHb4oYY6iC5pw4Tdh7pu0TqdjR5w3oe6fczqQyIK6UPO7Tl5gox5+bzL7GmHF5/\nQi+Zta6cP3u5Wbcpu7fPubt+TSfK+OojesmYF0SE+4++ZryBopXOMvfXjlnjcHfB+fpMNynj8oxl\neMuw9PjyhE4b91evOBSJEAF7ERS4/BYpz2g6460P/iKZSn20gksqJFmhdFSzR1s4d0c1U4aGNvAs\nqDmj3rPMF3i/CbrRR4Fgr3EdDKdtXZ9/9j/96bdn/M6//i+4EAFtk8MepxLXDsDdKFvBkXhPbTLJ\n9Bs1InQugtMeQx6ahVajxXLJTowisbmKkRIRxyrBN1ZRVgvbP9hijC0A6+LgWwiFEKK13eZ2IOLh\nx0u09gHE4/NUYNrS7ZJCdX0YGgBUjCY9vRc8IDFWCXs4d0cRBm+YKbNLpMxJo7qz18ZqiqN0nig0\ndsmo6jQfuGgrTRPFG89UeOWJAvTmj+LS9QFsMucgxtkznVZOmuktLO7UHFOhIPQiDJsgzpPwkEAv\ntuFr0iiijJvlxG3NrA5PMWZPYVeowaO+wLYumZKorN5RZbsvG1j0YLS4mHDplXvJ7LeuqxP37mHO\nEQ3xnKdMonJpzkkiHCx5UF9coWwuFlh4kldJDN4eo6mTwKzK0jyyBiTGjxMuGQcaJxcuxFmA6s6g\nD44eUOXB8HGj2wAJfxT5/Y3/+H/42aNYDE8z5+Ssa0Wz04/BCb0ee1JK7Ha7GN7bRbAHtbIZta3U\ntSCWKHVh1ytd1yFM9F1PSjskJRDHu4x5JZMx63GZ8aWC99S6xV3XRCkFY4XyvohDQcaG94lRIoDC\nzPCSaU2iFbM5I4QNSkfSzazeC+Jhuu50WKssFBYpDNkYkpBTo16dg5ucVhgaqb6AaYa5QxvQbvCd\nM/Q9rBFonobnIIYbXN8UuLOY0AaDZPg4I8MAQ4MnK1y+A8v4SWFJyDTCfUJLw6ccReq6pc4tiaYN\nSRlPBckNlbDodlkQ2bLiV8V0pi5D8ISbgkycHSBTa6XZEkKoQcnbjawYzD1ThVJm5vQUx1hapmkj\nLydO/R5OCRmMr04rOq14zjR3FqvsybxtK6c3lyRt/IBbLneGk5jKFamrPBsTt9PEk+tPmNuJJ2li\nnSfG60tGg4WJ/b7R3SSuqjJz5HIYWDtnWoXP04GFxjo6ujbuitBn4+262eF0Pd2s3NmCu5H6E29O\nsYPapd3/14/T/3vHbmV+ksgv90gyZBnw4YRreUTXbegxFfb3HfeXcQ3UC7qsZIQzA+mi4cse7Y+I\nCOvze9q8gzqFd/WrjvXKKYcJ5h6AYV1xHL0V7vu30Muj364VDUkzd+znZxS+YB0GZL3i4Ak3tmek\nI2ssyHWbAsvSqOLsk9IEhtM196XSBPrhLaU8Ycg3rPoUfKHXd1Qyp6vKnO45vHsW9IRuIS1G8YyK\nYbsFX6DthaaF5bJnWFeSlfDyfbtj8QIUBEjrBCPIzTWNiTpO1KHHTpcM+o7ysUE6o/eAd0ELOo8s\nZFQX2AtQSesBgEwjFaWlig0LSz8jc8NdWOZAxqU22nwJSUlXR9p0we7uSRT8n01MgL4VhvT0/bX+\nqDK+uSK7cPrkK85b4dzaBvP0mVDkO/1ZmPeV89MjLtAtT2PDLEbNZ6ZnZ65uXtAVZ8URe45qQxSs\nXeNeoCWaVLRTZF3wMSEuG8XGSGuK3jrK/cWJ3V1QaBqF8+V5K4TiOCZ4wi13B+X67I/F8c0hAIxH\na7j2YUDCT/khid6NpQlXtK0IVZJtfFtTskYROiGMW3FX3BELXGVoUfy4J9TDdyAD0uQxBGY2QhcC\nFMmxYXwsrCRAK9kkPsDQKkVyhGNIh7QSG1gyTYQVCdcGOprDDkc0RLYVZ8SZTMji3LtgLcIrui26\nePUQf+GFxcKybJRwzJg0YwizVYSozrLH94nDBdCZspOIwi4Sv28OyRKwAEK2hiHceSK5MxJdGCVx\ndHieojAUcVbpuPRCM+faDEQQBFGnqJCB9tC7lcTgim7F+0IibyguCFUyzZyL7NF5c2VP+CYD5CRx\n4YnNitEzWogRs4U43UUp9iCeFIp0DB7OJgepCHHPJgvud/bgiievVHOqwOCGWQjekegCPDAKe3cm\nj9TACOIRmjvVIWv4ogPUFgi5bmWveTTWC9HQv5KILWfrKOiDrtMFFXt0yphd/09dM/6fHj9RBfLF\n5YgI2C7R5URrBVVFtNFaJek5xB5bYWUPAp5tchbvsSa4JsSEdV1pppTaaMuKrxF3bDW4wjQDN6yF\noCRLoFtR9EbLPCmAk1Ki20XbWMRQ9e1GBPVA2kM7Q/HSUYqyzisuK3XduH1tI/kAKTfywyhyZykd\ntcSk090ONFVkhLRrpHQPLcOsqDvkfWybZoFSofQh3BHCNaELYpZ0DvR4A7kbo8CXLTFdLpC0IN0S\nI+6qwuU9lIzYEsl/xw69HQJVLoq1grZ47amBGOIKsokUtUHJ9N2JvssxC0rjSj7wAG4KDdxWlgJd\nN3B3n1iZkHnh6cXAqd4Byourhbsj6PWO1c588nHih18vLK1y/eQSszty11Nxeiusa4/6PXXMzFxF\nq35JnMqEl4V1uaSrghwGPjoWFu0DMVxXvmYgd/DmjXE/xamfS+Xr2UlZmIvwo3SHMLIm6OfGooLW\nji4rX21FzojSckerQrUOydHe7pefqEftT3X84EcN+0LIp/sYB0CWTPGgnyQ11MPG7FUJZ4Ku71jz\nHcJAVwdKPqMlil6XgbIWdn3PWlZkP6ESHtPyOkJXxFckBQfxUG6p2uPzHTLsmTZ3l9Ya6RzRxG/2\nX6JihGxn4Z0seAq6TbdkijiphXVga42mCQWSC35ogbcsTrbw9YQ7MgnzcLroEhsGB96BEMa8qfOA\neiDoS8tWbJ0aRRyRhbElVpxeI8J8vQ+kWyQWShsr4i/RuY/nihV2gd7OP4Z+2bo4yXB1RGaGXYXT\nhoTOCeyeakpSkP0M5xjr2S0CDy5ukKK0CjI68zkzmlBUSJziWu4Hlh+vdH1Hm1fa/YMYWWj2wdx7\nu+eEMtTCScdYLJO9t21zsC0A5a4eSBt1K/MZAJdfVb5livunPOknqibOc+JJP3HUnuSBCpu9T9Wz\n40NyXvDRxQwC/MXeHd57IpvDm9gsPAj71OJ1h9KbR9ACG+rnm9hWeFy8fxaOv/fHPSPOrImLbdxW\njYJLJDZSBQlOb465qpkzeKFot6HAsOnvyEQo3OzQq5DaiucNOZYNGXZhUDAMUw1urQja2mMKabXh\n0VdXVEmPIS/KaCujOGcySWB0504iDrmaM4hiOKvE2l1FuTbjjKDb55SAT3E8HIu263G2xkOM+MGV\njvfCwrzZheLG6I4KvJFM7xvqunUIZeM/9wTXuAIpBXotbLoXgecy8GO2YlacnVdEYHLHNnS2lxAs\ntq2+kRYBJiKwEAh9h3GtjdmUCWXcPJjDGjcQ6j1xvs3DSm3kPSr7gKqrgKFBdSScNSpK3TjGEP+2\n+Z4k0FkIGDuPjVJcvxBkOu/F6Wy+yb05dTsP80e5yGPQSnhQCesHlewo/ljYrh88d2m7R7NHgb7I\ne2oFbLjc9jt2bBltwN/8v3wi/smOn6hV+923XyKl0PeZkoTDThE1VApZhKY5WvSeqBVSv+Bts4KS\nhDfjdFpYF2cYocs7JtdALlsL5bu3sCrLRnJIuafREHF2YyC//UGY1o52KlRv1EUwW2MxTesWRRyL\na0oDSedoAY2JvlP6C2FfHXmSKdVp85F1aXjJwXEmFuJAkhfcBbUlCvIkaBdJNHiC00MZbdAKohaF\n/eaIFFHG0cIVbZsBocG+QKpIquFn1TeaNFQSaEHrHJ9Te1jBb1eEIWbAnPFdg6f38Nkp4m2PPeWu\nw89KNkXoY8D3Yest5gh9rIZ5BzLHeUgGUazF4tqWsJ0x68h9YmkJ74XkxmG4iIWZytANlGEIKy5t\nsDa+PFfQgW43crcYzQfqYpSmiHUsGaiJ9RTK2LKc6NKe7B2tjix+S6vG7e3CZ2PPO8uwVOYKU1lY\n0g4vyqgF0srYjVyL40siHaBuit3iIL3QsuNS8CUMg1prFBdKSeDOWhq9XOCSuNeFn5Xj+3PCNHqx\nKvH8iSTMY4cvTZG0Gbhn2BVjIWPrE6RuRVPZ4RsSpA6eB9L5LTu/oJVLTI907YLWnejanuqGpTM7\nOzDLLYpwkYJfp+dTtF6dR7rG6UZJ2yxat2ZvlUbJCbMWimqv27kL2ipNwtar3jlrLlyEqQLb+o2q\nktTZJVitMqSgdolBNxu1W2G54CH8VETQzdC3NWNIHo40ZWBMjnMkITxPw1YcN7JAssTUVvo8x5yw\nW5Bt3nq6e4t4ULiSKLZRl9yFinCnL1iy4cvIXJ1Ret62laoL/Tow78If/HiKkqBVaIuTk/GSBsWo\n3RPUb+AUY9YYMRm5u3f+4CbxF68a//Am8ZdfNH7vdeJfunyHiPD3b6/59Y8av/fOsNY/jpfHjp8Z\nIhE9YRo+rJ4CXPDtd3Lv+IWLwvfOjnvmr44nZOvAPfCEHz7rgUqRDBrvN+Hpw/d8INgxPligRWjN\nmT4AWf6Lu2v++sW7xyLh3/vqBQD/6v+9x+Mn8jjexQYNGjcPwIz4o6+tidI/XqpK3pLQ7lw4blQ3\nAboNkSxEUTchCI2eRNna5A//Vt0jpt2DtmTEkra3SpUgIKzwHuW09hgYEatkD81JSamudP5AzADZ\nNlkdwiQRWrSTxnceE9ninFWFTIRcVI+uRExN4WmcFE5YIMiAUrHNBrJKNGBVYfXKKMYSRBX6FLPK\nQOUsTu6EQW0T+AljMszjtWTh800459smtVqkxiWCMxs+ywJNOVtCRTm1xtSUZLK5QCRekplcUYeC\nsjfjpQdFI31gsfcQ+BFqiiigH1LvzGHexI69Q1Jn8cTugzCrB2eRhw2PIYyEX/Je4k8nHDIcJ7sF\nLdRjTPRY+Ghv74GgjKjE+yeE7gPq2sNj2hyavH9mH5wvlJiHJxe6bZemG4Xjw8L+g0/8Mzl+ogpk\nf30fli5+wmrjqImUEu4FkUTVFasdTbZCpDnS4lfwVBmlQzSK4VvNuN9vk2oMePeGk1FyFMwiNL/F\nTcES2s8ROqEdWCBLKdvGS0z0euawYfuLDrg7xc8sHqr5+X4lk8l6RpMx5kStha5L9J5QF8wWxosB\nKwu4sczxEOX9ZoBf1igq9QjkGMGW8bIggwcvOsl75JYKWNBHsoOc4Inhn91juxRxtVMHg8PitLtE\nN2U457B6W0Nk5kVIecZcgYy+VdwzVgU97XA3Bil4HhCrsEZ7ZD4Pj+IslxWk0HU9lqAjyPTTIjRX\nltrhblTvWZdGuVem7Zk09rBCFWXFoGVWj80I3lEkOL5qsSFokrFqQKa4gDbaqeKW6HJjZ85huKLW\nwqlrjMtCykraCW1e+cNTw31gaeH7qNZI5UyTEJ3UFpPz6wY1Q5qc1JT7pNt5KFoSS6sYim58196U\nxU+Qdkypoa3h5sgHC/hP+/G94wM/MWrgz7Lz394rPHI/bVOXyyPq9/AMuwi/djXxj253uBi/djUh\nIvzu6x3whM865y9eTmA93+grP1oHoPDNHtCRSQ3Ys2+NU4FaC8pARlhESCJMnSKiDGuMy9MQYq4f\nzpVvagaDVWJj91D8flGEzzthApIoPzoXvjmkKOY2Kz8BDnPjqI1eM7cZDqsjrmgGfAc7x0zRZPTz\nRPFL6uD0c0LtDgz6Zhz3if1xj9O4Eae3ilgiJUdxWu8wCmMF0x31eGbBmIbD+4hlFWqtdF3H0hqy\n7KIo3/fc57AjXG9Blx3ToWPyI2UZaa3DcY5dh2fHLTh9X2xZsb6sQPDAzR1d50dx6zd7uJmhtMT/\n/FXwzf+DV08ex8Yf/zAB6U9QE0TkgTSNC/zty7f8R3dPgycuHkJHVS63ufXbrxK3SxQiv8eOX97F\n3//R9P5zAwXzRw7pA9r7UEQ/fr/Y499/eD6/ua/MAoNHCqYhfIOFb93vOYuwd+evHaY/zWPyE3VI\nXVgJlA02DqiHtZgTm5hFgm/aNlTZHVBl2IqciByO1zvhse3ei9GQR1S5eWxLkhgjG+oH7NWZahRG\ntkUHXCD45jQzk+gfuy+xZhdzVC1KWA9h3UPR4ihl+7kp3DVjUKOJkDbk14FJhIECEudqEqjzIEaL\nX5HqwiiViUyyjebhSt2KzizOySNSWjJ4dWY3pu1zVINikJJTaKBOp84K1BpzRzScjVODPscG7bhx\nntdiVM9BQViNc3V862gszTFLqIflXfZA+8et6M1sYRsPNnQehK1OnOXDGnRDeBsw+vv/YS1oMcU/\nfC+PP2eCciEe92HeeNy9AB6F9hklP/hZY5y2irfnfbiISPDGA+2VR7R36/U8bNvI27l92MBxoHiA\nmi4atCp5zz8Owudjnf1ndvxEFcjPdzMuGaeS1ahbUbFa43xeOZ8SpRWWFjvKpEqWuMzWQlIh2jBP\nNMomwJDHRRBZUTdUVvqcydI294GByi0mHbVUvNVApJMHIoYhpdKScu8dKSWUEGfF64pWx6yiuUJ1\nRI11DU6b1TWEINJiUJ0mFIek7LrYAJRz9Ac1OZqgrYLrPa0puV/JF3s2MjRSY6EQbUinWF6QQ4LR\nsNRC/XkEbQUZDjBWGJx8meDzAmOK0Xo6wMtGvllDuHcMCzXcgrqxJKy1WI1qwZcRN6FYolm38f8K\ntbbHhanYiE9Qa2axgjUD6cK+T2fccngsNqVKobYQ7RmAK1WgVCdZo2yZ99HCidZKZUUwqmhQR/wh\nbrJFTKUJpQQvrt1P0bJuineZdsysGFIzDD3SDNMOaZH4tVp47FICeTIzFnc8ZXytaCLUEkTLp3PB\ntGeu29LhG6LsQwhFcKrbRj/5iXrU/lTH3XnlTUu8yEYvwnfd+M4583mOgvTQOd+ZE6rK33wefL5p\ncVAYutgD/tIQ8GxdlE+z85uH6REdrCXxaTKW2fn0YcpbYTELDuvOORYl7Z39JHgWbnq4WkIo697o\n68KxdfSj06bg+34G1HPly2T87u2e37mY+LKDb/TK513wAf/DrwZ+59OFTwao4mwkEBBhN9cI6tGt\nEFuVZXBceBTMpBkwQ3Nm9gH3gi6KiXCkQ4eObqrIGe52jcuTcb4Czo1RDNeOpZ1Jk1BrYs0rGaUN\nPaIWIIAkTvdH+osdtU7kfkR76LIyi7BOlapGO4U057ZTfHZM95TimDcKxukYBQ2j8+M5nt//6m1s\n1B+e50+26MmXm4DxsGE0R1cuJOa5uTq/MFZODrjyo43qQA+9Cx/1jR/P8vh3f+/mCeCUbQX+pUPj\nj4/O/Xb/3WWz3IzP+65VPqLR9cpSo3D6Zn5YXuGH6/Zcq/Jrl4Vf742Xs/LZzvkHS3zmUITrJNxU\n+LXLyne383lnxj+zi+96OUc1NBLEHHcYf1ZoFpslWNWgJyQN7OWBrxponyAqHMSoHlzR/gFChKAP\nQlD5BLZHBnxj9UHQ57b3D2xUCBVsYwP2Gnzecft8J4IlcPiImduWWFU5WMSK9EBrQoeScTLvhXl4\nuGVUC74qRKG/EsijAOLGAGQVTjh7YHLjQpxB475PTVCLmryzEui3wiAwL43rBKtv3F5piAmdFa56\npbaVThVvRpXgrZOc6k5pSk9Da8DQUU8a+wRliuudRBCUtoJI41SN1pS+CgtR2Mda2zhY47Ypo0TA\nx2S68ce3jW3cGnqMDljQx+sDwYs2h5EWhfW2gajoY6HZE7aZJomHmKYOe0Rt0zZeOgFv/liQhtN5\nfMgqylOv2HYP6gZQfih2LiijB4o/0DgT3cCkIcwEAqXeKBVJ4rwA9sD8IC79YIgXD6T7AwD6T338\nRK3aZewRUcydovqIBOQEV4cDVxC8181r2E3oUuzyk3aInjdUNW9yTxCtRC9Yo5drJzxtrTqJFpBq\nCRRZTwg9TRwpS3CN++E9I9wMquBLQVoN8uF4A7mLQIvOsbSiucTMutsoC34ATthc0P0CYx/bnVmh\nP+FjJctI+eIt7e5A+n4i1yeQJBwASg+1gzThTZDUqBhWnaEJagnuNhQ86UZrENCZJoomeW9tJ9HG\nwSvUhq+KlAHWnhDdGawZMcfqHjPjtECpI8Uj86e0HGi8RwMFQkxZcawI65Z4J8WxBMUqZwuud8PQ\nGmlc5oH0FQes4gbWOqoIVVa8jcEPdaeoRaErCXeleLSVzR9cM4TiGaRRTWDbXFXL24O5/SwtWrJL\nRc0pXkiirCoxBogJJ9VADScMdAke6NxT0/b0SUOb0mymaFh2FS0k6QPTtxUTCR5qCwHYz8rRJ3i5\nVl42+Ctj4vcneF0b/dbje73CP70vfGtO/I9vCvcMgPDL2vh0iPvwAxe+NQfH7rfHxu/OEQTyK0M0\n95bts36wTf5/NCd++zI2G3qGP79v7M5wL0otjq/OO1XO3hhacOTusvH2rTEMiWXjAucedBH+Wn/m\nd48df2FsfO/U+LyDLxr8y7uJH97Fd3+aopD80pTPsjMTbWUMsjasQD8L7XJh2mblJEACu6usVzGG\nunvnfLUwlMzaGr1IzC3JQSrX54Q2ZU0FWS38WYdtDEultUSXPTpSpbFyg6ae2t6hNrIeJw5XB+7K\njKcesjO+WbnPXXTAxoZVY64hFEIMbdCR+S+PHb/pK394DpT9bzyb+YPbxB8viV/dGfebgOfTXBER\n/mgrIn95aFEQAwv2+PrHxRkHZcEYveI4X9SOoX9474fjKOzYfrAAW/okwNgZc4nv+Utj4WmCmyr8\nStd4s9lEvf2gIfOXd5WnyXGv0KLQdXe+OMMn2xJ6g/CHS2zgnp/fgyZ7/LFY3rttYkM4mPOdqbIM\n/wQPxE/BkbwFktcASZTmUUh9qA8RpTU4eQjpEnBDZtwa7p3IozvFzHs0+kFw91CY9B9wSYcsWI11\nImlQC02EtcSmdVChtkpS4c6F0QtUMNVHBLMHJtdAj1VwKs3+JJVjfuAxA+DhcBFyF5IIJXg1LA5F\nHZP2yKfemFTMFQaN2mAtzigFQcM7WKOQUwkamSbhtsG1ChOCAqNGYp64UU3ptTImY2rCkxQoeetg\nNo2SxJ3j6vQpPJnfLuHV39OwjZqyFhi80BxORE1UzYOGuG0sVs1oi4I0qzxyuvtNjPlQuPKwwWGj\nLGyvOw+pcuz9H8Ss/t4JRN5zN7LFPMBG8XgoWnsa64MfhhVOIrHRFd7rrj6oXNXblsQXGxrZ+MzV\nnPuHMQvkVrZ7pI/j68aF/CCkfb9/o7mQN/T/z+r4iSqQX73uab7QSU9hBVWSzGStG3EoByJLh9lK\n1mDAJO1x6cgSAjoXA+8h3SE+ssVqbe2hHdZSFDgKEPzh8D/eHq8WQpaUMrkVDr0garg31BPHZaJp\nR5eiadUePBKa7x0AACAASURBVG5IeOrYediCqc4Ie1TOcT424JqDt0gKpXfbISyxkLYBSTvo38Hu\nGEVx38Lb1G9BEjJ2QWPIBZjCH0d9i/+asHqB3W38PHGqzWhqdNfAvcJ5gtuL2EDMFbFL/Jyo7Ujj\nGa4FWs/tWTiWRLERaSuLB6Lb5EBZDelm3IZw/agDilDaykTHyQpTa+zaRaD/XeTOmwm1NZB7atuH\n17DXxza81YZlZSlO9h5tc8Rzo2hxzlIhC8nGmPDyQq1BvfChMc8dUyusUpFqzNXQXng3LXRdx+18\nYrYVacaqGSuVtSk6GoMlPD3sdMGsktMeTRXccFOKGKd6F9w3vaT3OVrveWFZFsannzPXwovdE5Z6\n3pBjZVqOWP7ZoVj0Cf7FC+H1qvx3S4KU+DvXC7976vmtp4ULg6+q8ltPGvHsLbxehFctoVmYqvKR\nCx93cd9nh98+OK4hAINon390oTwn7IH+uSfCpQtfFOGyjxbhDUK/LYaiwknCiB7gf5+EX72A0xBo\nNHvhyxqF0YPV+a+MFbPgBX93aoxdKMr/11vj15/AKSuXzbjslSPwxBrX0lCc8wtjeGOYKa6BaHX3\nShqdJRnl2ujvhPXSqLUx3CachuSwgksqMAvTZQd3Hdd5ZZTQIJTOgnpAdC+SJnpgmVe6PjNyTRsa\nysCwjzTHtRZSmlnXjOVKu+y4vC/cGbRBqEtGjnD8uNK/7Hm7UUb++m7lBwV+qQ+NxbrA95cOCHvK\n11NsSt6EKIJxs9r7wVZUugVC93qOnvy4gRo/J8bXm9HV0NbHsbMT4aNts/pU34vuvpUTnyv8U11B\nXPmOPiBOzneK8IudhDeCxPc/S/o4VmKpd/5RyXyqhXFb7efq7DPs3Xmmxm6Mztv5g7H83fXBjAt+\nYSh8rzTEBlwXfrGTP3tS4/9PR08DIYRx0RYNGpR7oJgS7glh+xa2qu6wo9I83mtIbK6Iy1IJnv+H\nlyhJIMiKkwn6gFu4TeQNvVaCS6ybuLLbNsPegJzCWQPoVMLeDOfywXbOlepb58Oik/h/cPdmP56l\n533f53mXs/yWWrt7pmfI2TjDRSSHq0iJRkwbkSU4kILcxDGCwImRm9wZWYwEiK/zJwS5sBLEgg1L\njm0IjpdIiiTGkSyK5EhDcrgNyRlyhtPd093VVfVbzjnv9uTiPVVDIRcxYgImeW6mq6f6V6fO+n2/\nz3dBBJNr9rHMp+xKInI18ZnEsNBYS71KxluZzWzK0kKcH1Wx1P2MWatOnkI0UjPTRaue3sI+Kk0j\nNfJMlIWtvoYklTGvLLuyibCwyj5W4iWL1ElyqQa9mwvL/W3VSB9Y4TLDmAWjiqYKtEupZBJaJSEJ\naAoV6yhYQo2sZZ4ElEpe2bld0Mx/b65Jo5ldl8raIu80jl6x//rD0Za8o1UPRSteoqZZJBHQwoDB\ni84GRaWnSluqnKIy13nO9aIe6grIr1JU5v231VFVzx1KEfP/kk44LVwZLA3vSIKsVqPjn6GV/w23\nHyuA/Luv7HnXYyskC2XIFD/A1FDmZiotBjV1FayYygRTkytEtOrktCBFKEbJ+QAo1yfUqK0vNL1K\noVAEVzORo2D81clz1yYQWwkXxAhGeihCsauacnE9hKj6ZqjxaNbU/M2cF/Ux4YDco7nAXEYh5Hlc\nb7F2jc6yicIGb54l5kd4Y+sLoThKychV7JDpaTtHTnVBYLOpy/nSUnTEzCDcaiFEwZhCExbszrcM\nJnBnHLmBMknBqOdRnIix4e0pMMUdRhecTRsQS6ZlSHs654lquJzOUSMghjMMkgtqJm60q6opivVz\nD2yLyEgSZafQiEPwTGUkZ0XdWEF1jPVF6AyhFLLxrMVTbNWt7kPGeodB6bFMJVFUUN8whS15voQF\nsE3PoWl4NG5obINpejaXExfjnq7rkGJp2xNSmjBNz258SLc8Ypx21Jh0X93yeUJdwz4lnG1qWoqx\n4IWTk+coRtAAIScWiwUpCh7I20eoFTb7XX0NGWG8vCDlEfSn5E1Lvdb/aDT8XBdZ5MzP98q9sd4L\nv3vm+MV1QMTyWrh6mArPtMoNEg8mQXzm9x55fuWwHpMbrfDK/p0x4ZQynzisIS1diQwCR/Pxu9HA\nKJaGwqEISWHnhJtaWFO4P+ugb6w9D4Blo7wVhNtO2Qelb4UxwHNL+PZWuXVgeOlR4l0Oxlh9Ce9f\nwKs75cld5qUCmMSfP4Q3kjD6Ksfo7zVsHh9Y3QF/2VJKZDpRuqB0puZf2wOD3Ql+LUwlU1qQC0UO\nLOEy064cOha0TeScyFkw7DGlw5uAD/WFlleWi4XBdAYTM8ZUQyi2Lk5MVsYh0C4PmKRgMbgxMN72\nNOeO46FwNiliDf3dFvURrw0mF7KFd1nD57YNiRrFNFF4b5v51mT5wMLwzQ28rx9RafnmBn75ZuS3\nz+v5/qWTyri9dJb52Inwfzyq8/e7dLzQDnxr6wHhE4tAyIavTI73rSrI/YcXHb+4HgnZcG+y3EPZ\nFfjW6PnsKvBWLtyNlmOEb2T4YBu5lzzvbyJnGX5mVfidS+H5tgKtD/nA2ZwDq6osvfL65Hmmjbw2\nOp7tEq9PjkLkPS38yx38O8vC6ynTTvA6Hb9wkHh9O/JthO9qy4dd4Kdi0wqmqpGuZu+K1nN1Jbkw\n1+xkhR/GXJFKFbCoJpy5mpTU9wtaAalqwZlqHM2l6kPTPMXtZ3DtVGkNjFlZzQs0Q5UmVpzmINdX\n2ZWmOWoF86q1TCLkwtpoNa3NAF8ApILcdPW9QDeXiVgtnPrCTg1LEpf5yjRbC0f2udDbKkVwTmhy\nITqDpELvBMkFcTAkroObvSqNZqZUsKZwEaF1EI1hm6C3iX6WaeTZ6JdKjTazpu5n4ywh1IWECFyE\nwu2V5XKvTAoSC05gVIszQldqWkQvSpIq8vRaKjiei0SK1tVDLuBKJFk/50y/U87uTP15IVcfQ02a\nEJJWjcgVGN7P+uhOMzp/n6XG6llT0y3c7IJqmCPrSpWXDD8UL6foPMAvYKoG/SqZ4+r6yDNAF6q3\nSYTraQUKLTW3OpXKkotWMF7mRVEqdaHXmGoA/FFtP1YA+R+/tmb62g7VTEgXOGdxsscWj9XMNtUX\n7tJVR7ep/DG9WEKJGJn1pmZEqDWhKe6ZYmAy1QzSaEvbFKJW4NnYwqCZg/6ETWhIYslthw33WbRN\nbc5qPeM40lFb8y4vLzluqu55miaOTjomXdQIqRywJTCOezpnweb5ghyw4miWK/b7PSFFls69k6Pc\nZTRlLrYjlge0By2HpSG6asQ7xHG5H1itj3Bxz3a6xEhzLUMZcqaUCxLC0lawvWqaOZXDs9mezRrh\nTOstloapJI5Mw3Y25LSiTH6Jy5nVQYcrBYryqsAUO5xzPNYV1n3HEJSnnNBg2BBqZ/qwp7OWyRX2\ndkk0NfrLt47GOiRM7Dnk0DdM01Sd5wctLhaSNyxLBZ1iG1orTDmxNB41kTRmgjFkcagIbdtSQmC3\neYC1lpwzB90RoyhjNhibibmgVrh98ymcq0xzKoWwrG+K5c0FYZxoOqX1noXW8Z34A0qqoAMS627N\ndneB0Y6Lew8QU2qzWSw8fPQ2bVPTVcYYMN4jJlByZj8N13GBfWv+P6//n5TtMS98xsBNW/+rCrjM\nf7zM3M/z9Zgit6zwvdnntOr+7EPrxbYO1gBe2cmfoQheHmtgT++FIcLTnXDPFM429bq+1Qa+0goP\n94VPHghrI5iS+E5w3OyYPzcyzUPgU59wCMkY1k3lv96KcHOt3N8W/vxhlWpcsSf7qfDRA8fzkvh2\nNhyq8rlz5bNHzOyGsnliYnHXIQKXp1uW0dNezkYiE5m6SD82uF7JzmC3QtcI5bi+RPKtgFz0yGGG\nC89oHCs/QIQYC84XxOR6bS8sMmRYmprAY+uiQ0SvS4gW666mVqrCJrBLDfLAskmWjglZdZTzieEJ\nob0jnIhyr1TT051UeL8f2aUag9mLcFMV4z1P5sAzB4aUoeSBdy2F719YHp8d73/ySDkxVYP42+eW\n2zNLdWRH8lT4YBt5Zarn4X3LzOSVB8lwajOfXVaJxftXBWTiray8p4HbZuKtqLzY1zE0tpYQaTG8\nz2cGDLeaKqV4wgvPtO9MZ8729RgsVPna5K7Hr8926VpP/J4WXovVcAgGKS3BwzNN5PXtO5/1Rop8\n+MfqDfn/f3NGrlMEitZILSNClgq6zMxQegPpWs/7Z+/ZH9Z2ZtUfoodm9eHMNBbVWTtawVbSmpJR\n5igvNVLjCZWa4T9/biuJaYYkLVUCUZMwXGWsi9JJIRdDN5eTLOZ/OyocOFBvSKECsSEqvZ+9IQqH\nkhhzXdAZkWqoK4q59sAARpgEbkpiMlV3vPDKpMLCVLa4sRCyMKXCwmQmhF1UvBXaOQHEXmm9reCt\n0EjG2grmo9p6/EsiYykou31hHJV7WQhZEGfw1rAdE0tbpyHBWlKWKuHTTNCavhH0HeCYxWJyqsY/\nMeScMALbLJh5ceNUCXqV8PFDsifNTKWWx/gZTotUljbMevMiVU5ipMa0XVWDe8CWegwUy8ncZruf\nZZlJYWVroYudj//1G/GKvZ4VQFd/f1UjjlaTYFa9vgZlnoAoQvghtru25f7r3RP/OtuP1+0/XRDD\nwOHhKT56sm5YlKqhdTaz6I/YDxcsXUtjLJIndmXiItUbom169hZWpiOmwm67ofcO11QwZYyDBjZj\nJmmhd0qKjs62DJtzvAg4IZ9FJlF2F+cANGJJojxSwzCNGO94sFdM60l55M79jLSXtMWyGSMdFsmF\ntncs1BAKlDCA87gh0xjLk4vD+kBxwqpbstdAmQaOT5f44riY9txjh9mA98Lr40hrHenuA6TtSbSc\ntg1TjATXYESYVBninn7ODWXYcth65MLi/IqUAlZbkngkRcjCuc1EA8Fl2mLYRqmpDLbjbLdhypmH\no9I2EQhEVfwARRK9bximHcbVBURrHZjCY7SEtMd4gwuRNHkemoLJyiZNPIxK1EDAId4Sg4KbFy2q\neOOrM51S8xS9Y2VrS+KoAaceJdC5FpcTq9KR4kiedmAtaw8L9QRbb8Yy3SdNii+KcQ1qDeoWHDmL\ndB3DTikquMWSPBsKrBlZtXUBUnLk8OAEARb9imwgDCP90ZIwFUQjReCmYY7Ir/FfxxTG3Yg0kPkp\nETMC391mXooW7+rT6jML4dUIdh4H3myFW7YC6Td2hqeWmX3KPJjeeaXe9AXBcLODcZt5eiUsSuJt\nsTw+y1HWXaYAvSo3gDPg6VXhVlcNYzYUxAiLJLwyWp7uzfU1sxJhNyT+yYUHPC+2gdOF8tYO+tl4\ndmdnWPrE377n+ey68OwCfrCvmrgbTeBNVXopHInymRPDkc5mkqws7gq7m4H+omW9b6hZF0rTOsI+\n0PuW8zCwyg3xxkRZGdzeoyVXKQKOIjDpSK+WrIV9yrSmwTkQW81J45HDGKEfJsyiIZEx4jDOE2Mk\n6DmtOSBOkWirSiy0Ht8qfr9Hfc+la2ETmaLl8L7l0RMTyzPhZHK8kuCZRvleFBaujmSXwJ+eCwsX\nsL62Ib5woNwpdZHpghKDsk+GDy8gxMQtET5gC1ng9y4aXugnXg2WhSu8r4msFb6+M+yM8MwCQoRb\nrfIgCN/cC6c+E1rLFzaO960SHymZB9FwwxVmdQC3F/DWHp7rK0P8NkKQei3c3St7Ee4lw9NNYTCG\nZ7vC65PltdHxRoo85TyYidcivMdbCJnvTp4P+sArSfnC3vLzM1oTgSYLv7P7EQoa/y1uKWdSAVt1\nhTVtomSsqW2ycRZKOK36Umfq6PqHJ18B6G2VE8UCrb2K+bpyeACmJhTkmZUsuYImkZoqMaVa1qEo\nY9JZCviOptSWWkAReQec2ZzeGZtL1a9us2VhCslaSgGv1UyuIePrbtC4eamsimaYqCxjVxLFGHKs\nbO66gSkU1t5wtov0jUUtnFoYpFRGVYW+qclZ01SnN47CEJXGKAsndLO5sTEFL8Iu14mVmdMvmrnd\n7tBXicaQDI6CVWXpLUtfga7PljFkhlSTKayHA6dkA14LIUNrwcw1027WUaRSyOWqZlsxtoLQKjVR\nQplZd1ulDVcyh8OZgc1Gqm57Zm77GeR3RnFW5rrrOlFHa0NqS81RFqmmwgqwC7Pl47op0Zi6iFka\npdEKyq9qsq9kHvZqFKBVm1xm7bdeC6eFmKt0JTEXgmi51j5XrfoPX4z/5tuPFUAetccuW3bJ4Nol\nkhfsBGKcjVQaSN0pD1LBRijG0S5WRBVM1hrx4puqC/IGWQh7FMZMac8RtRw2DaPsaBOsVkecz3Fu\nxVhMSSzEYf2euN3w5rhBEhwvjisYtg7XnVa3pRhyGHju+EnO4w7rHfeniUOfePdiTQ6Rh1JjqLq2\nIw0TpSSGtMM3S+6UyC3jmKaJy2HgTgywOKUzYMbAZFrEr+bxUaRdVf1muyh0XYfJE8Vm+r2hT6Em\neqxatHmS8dF9VqsVbyK1Jc9FjGv57sW9umqPyrBLLPuWUJQby2OKOyLmRLIjxllSmMhdfYk/dbPn\n4WZATOa0qaE/Q9hDykgvtP2aaLYU7/DS8UASXiyJjPeWoqnuu2s4MQ2Uwn702M5RyMxYHTSzXq/J\n+z27PGGKRRrHGAZiyHRdV81zami7miASU6KTpn6P1OYu7xrOyGjjcCGhIaPOEK0hknDqaK3lIlQG\nq/QLypSJsdRq3hwQtyClROs8uynRuXosvPFMIaFNR8FRnMH4FZpyTR/JQimJGCLiltjlkmzL/Av+\ndGwfudHygg38/R8YPtjU2L2/dsPPzFQVAYo1vLZ750l1f3S8WiKf6SvI+sMJzAi/gvIHO6r9fLaO\nPL2C7QBLhUx9ie6An7mR2Q6wypm9sTy7NHzxzPDZ04yOyqoIqLAzQjFV7fZfPRHJObMrwr0k7IGD\nopz0yitR2EfLZ9eVHvnOri4sFy7x9+80/NXHAm/uhF/fOn7lMHKzZ9YxgsWwvtOTFqASKYeKfbsQ\nQsBgiVMgZHClYO6C61um1YhcWrTNnGwyYhJy2WPdwErgzmMNTz/YY3Mhl0QUwd2f0E6wVnC+xs5p\nznhb49QaPapTJCvkEulbjzMFvbdnLAtoFJ88IxF7ApfLke6u54tbw9PLzBQNycGpL/zRhVLU8JSD\npYdtsrznMHM3G/7ZQ+Ejh8pTTeb/3Aq7aFj6whQyjbfcGeHL245fOhz57GLk9zcdLywnNpNh3Srf\nTIY70XNqMv80ZD7mhK/Glg/5qYJghaOs/JXjiddGYYPh68FxWwrP+8zLe2VP4bXJ8Y0gvJFhIYVt\nSTxzYHl8UfhHZxYovDEY3m0Nj7nCs21NMzovjrdL4jFpeLpJ/PPLwi8dWt6viYVxSBIKif97Ngd+\nemW4f0Wl/hRsrbcsirKPGe8cQi2SqiADOgpZDDHrPHepTHMphWJrOUdTEnuFha1A1/6Q1as1lY3N\nWgGONRUge6mFFEnmEhtbwfqisXOZRNUkB63AGpSDVkgF9llpUSYEpEoLJq1GtYWUyoDnjJ9Z8U2q\npsCshhIqk9u7WkhCgXhVrSw1S3fdVGZ2CvX3yaVgijIU2GWF3tACQ6zgszQW56v5TNOIb0yVZDg4\nMsImZka1FAx9SXjPnHeuhNlU2KFMqYLY3igXQVm0Fq/KnT3shszJypEzhFw49oaYC7EIYUpYW9Mw\nYqnlJiEpGVNbJxWauqqobGxW1AitJrbF1uOlNX2i6qxBbZ3WZRG0CCr18wx6XUd+lqAlEsWxlPpz\nrKla6F2p+fBVW14//1TqvwuparLnNmkcsFdlq1X+YmZm/Cp2Loqpiwjq66DKm+u+KoZtLBz4ev69\nVtY/Fr0ueWmsnYXsP7pNfpyqNH/l4/+u3j97yGq1Ym0abI4gI6MKy8Way+2ONzaP2I17Vv0aohBa\nIe433Fgf0vue7X5DDANPH53ixXB/d8nDi0uefvJdPLM8YEvhPF2yaDtsGhn3LdZaLuKILKqM4DgH\n2jlFI6iQUqAYz1IghYC1likZvJnorSdoZMTCFCmi3DxesR0zh5KwBr5yXtDdfbxp2OiOQ9Oy6psa\nuTNMdG3L/c2WfrEiF2pyAgBKK5aUEpdZGRMc9GueXB7wmB24O468HoQJ6HSFmgtWeYSQWC5bDtXQ\nMrGL1WW/cI4tlugWPJsjk62ShrfVM4Q9ves5addsXCEEh+iW1nQs+8zZPvBkt+IWho1rGMeRJk2M\nTcdl3vFwiAxJcFkommnsJSfeI+0Caxuc1Bu+NR221HHPw2ZJLw37/Z7UWFrX4opl9JG8jdzHo0Sc\nq2MyKQGrdQTmVBB1FKtoqhm7JIg6YSw4U6vCwbBoHF4Mex1pTVczc5MwDhuapsEZwU0Ru1xBrue3\n9R3e1GzjGLa0fkERaE2BWNNRtjhEI44GTZEpA40j5EQxtdnNZUgpwbLlc1/+/Z8KlPw/furd+q1N\nw02jvOuG4WJvODSOL18mXjzyhFRonKFZRbbnFl1mvvG28IGl4RvbzPuWlTX61jbzpWj5K0dct0qe\nS61L/c2N8BGT+XJy/FxXeG5l+MJ5ZaMfb0FLZaP/7lnmvzgVxicGujcXbERZY9jMLPHbg/L9neVn\nTzKf38DPLgzfHwtPruAHOyXNvoNtsDy7LPz62y0faUd+9gi+ty30zrLuoJvNRQspOOcYbkTWl5aQ\nHVlHltFVw1lX2zbZFdSYmmYzGkQs8Uageejn7F5lOgk0Dy2NqUxJLR+oxsMDGQlkGuvQlGmvGL7T\nJVuNrE1DSonBVDNdp56BGs2YlobufiAbuF+OCbmQUtUAbtSzzcKRWM5N5Ps75R9eeJpKO3FDEyeN\nsE+G531EVXg4Nw5+btvy5CITouG964lvTo6/2GbWC8PlLvOZg8IXhznbIBX+6U74uIebPvPYLLG5\ns1e+Ggq3refYZM6yuc4ovmGVVybPc33mu3OAa5cSb4rj31sIXxgtb6TI2jiOrPJmzLzb1Z/3/fnv\nj63h+zHQaC2ZuuULbwbDUGre7tHMkj2K9Zly7Aqahc809bz9y3nK8YR3PGcD/ypY/vj7r/zE37f/\n7c88ry01gmsxs4RqLZq1gspSTV1Oau6uF5kNWczMc00VCGVO+fEOq1dlHA601F4CUQatxsfOVqDj\njJCu9LEAKbNqoLHCJgspQ2uv6iTqz0ulauabq2Y8hIWpub5X36dicEYISRGp8pCYq0RATGU8FaU3\ngrdVHhBUa9VxLliZWdQrw14BPx8bayrA7BtDKrMGe9bSllyAQhBDf9UkauCgU85DobPCoLCYE1dO\nF8IuKOtWCBmmVPdh4S2bqKCGtYXzaOhRHkyOUiCkCjxjAnSe2BUlF9hloZ2nAQEwYqqRUgt5Zlev\nZAurWbrSymyWM/NxK0pjC2XOnB5TQUomG4c3OhcsAToz++LqokavalVqUolSI+Oa+RkVSyFqTeDK\nmMoEz/9/VDOHI9ThRJVK1HM1ITSarwtHJq0GP8NVDnWVpnSSGecIO3PlGKVq1HVmn3/tay//SO7Z\nHyuA/Ofe81EtIZLyyIRFYm216VvD0cEhYLnYP6oGLGNoNOPmGlT1LQFDq3tS8TTOEofAgFBwGI2o\nKMP4CFxLaxwOoWhg2S8IYeLt3SUL29TVmBEOxGMbDyUwBMFqJFtLDIXWG/qF4Wa34tHbD7hxekyZ\nMksHaUps2owGZRwDB/2aXZxI1pHCjnW/QHzDEAPZOrbjRFuUfbE4WyhZOE9bjk3LTqoO0eJZH9xA\nrCdPEZWIbQ65d3aXxjY8Gu9zYA6g6eiNJ4wPuHXyJDkNjNGxzZcIhd41dM0pnRdiMagzEBJ7DysV\nzqYKGj1VJ4yzuJR5cn3I97aBxk9gGgJKq1WjnKc9bdvSj4HMQL+8SZhvrtYKDqGRxGQSEgxD01Om\ngTJMLJvCw9hQXOKkXVL2E6OzdM6ydJXdF9OwpbBWx5RS7V73DWEcGcSyaFpCzLjW4ZOyn0ZoGhyZ\nISacr6A4lnSdfemMsi8NA5kSld7a2tYmVd/lTc2x9CpMdqylBMXSRGGyEZMKQkNGCZpxxdO1NZM5\nxUzyBherRqwYIZXCS6998Sf+RQvwdz/zgn7vsvDeI+GPHirHBl5YO/CZMba8vI2c9vCeI+WLbwkf\nf6IQkzBta/KASNXlfX2bapSQFhTL+5aGV/eJAc+Hbyaa0fHFLbzYFb49ZAY8P7sWVqYy1KUU4rLK\nhrIGQhbMSWJ533Mphi8+gBs+8/TCEZrMy/cqO7yLM0cmgrrMJ48q67USZTsPHgep2arf3jg+sQo8\nEuFUrmKFCh2WXVNwJxn/wDEdTfRnPXocccnjomG7Glg8EFKxTI8lJBf6zYLxYMBqob2gLoBtweaE\ns55C4iAK2kw0YtkH5dAlQAmPdbS7SN/3XOaJNsHgC02wrLqWR+PE4iJwftrh7yjZ1Xiu+ywJo6K2\ntnUNB4b40IOrE5Q/uXQ8tqrykhcWyqv7eo7e1Sl/eKk8ZQ1dZ3jcFqIpLAu8uheeW8Jre7nOTLaN\n4fNvB17s4R9cdpx2mV9cKjElvjoIH+6Uf3De895uuPZO3Cme1gunKfCJpeWlfeG2E95KtZC6S4nj\nzvPHY+HfP4Df3zjezpkXJXHXtBzNM18R4RNt4UuTQRQ+0Ra+vIvX4PpRiPyr5Hh3SbxpLe8uiXe5\nwu/vW/7CukZJfW7b8NdvJF7bZ/4gWuJo+OuPFf7GV77xE3/f/q0Pv1ez1mSIkDIqhsbU2MIslqbU\nSDC1hpiUzlXNZypztixXkol8HTUmpoKyXApuBqsJcEUJUlNInBiKudLhMmfj1nSfmKvJzntbx/ql\nto9OCNYYGtEqJ9DEfua1zQyovJ0Z03n0D3XhUwrs1dLZgivVg1LD0wrqDBIDB60hVuUOQ1KOeksq\n4E1hysKQMlksR1YZtL7DYlYiiuZEMIYDzbWW3dQW2EDhoDHVpLcP3FjVRcKpz2wQVo3hcqogXnJl\n5TsPuc0digAAIABJREFUPxgN5MKxFb5zmembhkMnPNhCSEJvatV0530tFZN6DC6ToTVm1oLXZBwj\n9fjrLF0QW/eh0cSotWXUz8drVjXgMTwMNdXDz2lSzlTgO5ZZuz4j7asWPgUWBrazXrnM93+aJRyx\nFBprmZKytIXLUo+3n2nhygDX6+gqbSRxZcjTa3A9lrooE6j5F1I1zFLqog7m9BEr13F/Q6ns9P/6\nypd/+gDyp9/1gnZZ6BeeyzBQSiYkZW0d0maMNIwx4+aD3EuVRnTW1/rGlHg4JkKpiQStaejWlofj\nwHrRcJCUsWQOD44hZd66eIj1ParKzaan1cR5nhhCYI/l4X6DaRqOXcvN3tLZjocXI8+fLukawVtl\nINcs1KxsASdVphGbwi13zDCccWIX7FOgtUrYZ5qbHUs6TtzAkAvJ9lyOgaXJxAAPSuZBtFx4y/O2\njvqjUfYmcSN4Xh8D5x4uLhO3Dg/JJrFqbnBYAm8P51gm3rvsGVKDGiHKwLv1ghdWa0xRxmnLP7o4\n5tWwZRomWuc5WqxoELwpxBg5tUvaZosaYWUsxgduOMfKrHkQYo3VK5EYI8u+7qN1iV3J7PbgPEwp\nVmYgwCPZcDE61n7NYBJh2DF6x73Yc3sROdxmvpknglEWdkVA6WNdHJzF2gpWjGDjVA2F62PCEGAF\nfRZ6B7eNZauRCxxjZF4UWayDle+qfrJcYK2lUziQFU1S3ooB6wpNUqIWOufpSibj2UvCuoEbtMRs\nsK7Bx8hoAoJnXSwPe2Wxz+xMSyl7jPU0SSm2tjphhAsVfvNbP5qb9t/29jc/8JyKCG+n+nJY2PoM\nGaNw0sCGwrF1TKXwnkVL3xj++Fw5spGLVF90nzoohCL0TwWmhw1SlC9dwC1jSBGeX1u+sqkxei/v\nEh/vhZcG5XFnecwpHz7wSDcXohqhD8rvPQx86mTN6/vC84eRq9rpyQi9SzgVvvHA894bFRheTIaL\nwfH6UPjZo/pMKaXwpYf1NH30ceXLb1tygQ8uCt9Sy19YwsYFlkXYPh54bOMoWnWczZghV0PJFFrM\n8Q49MPR3BawjZ4MnM0bLtMqcJMvFk5nWV6Xbs99/RJnrqG0BbRSTlXTc0N7dIccNOk6EkxXufGAK\nke54wWAKruwJumL5aKoMnhO2qWrqL1KmPfFELcjW8eCwav37O4aXzoVi4bf2DX9pURiNsvDK7583\n/MU+UkpCSp2i/eN9S9sYWmP5pePEPgr/18ZwWiLGGD62svzvjzKI8FGfuV+Uz6wMaye82wgv72qM\n47+4VN5dEsG3/OKx8HCf+dou8ueOLecTHHaGPzyrX/+9R9XY9B8dKWIcL+3qvn9yJTya4PUIz3j4\n57MZdBOUtli8T2yT4aCBd5fEt4MHAx9ZZF7e2vrnPvHy4PhPb2Ve3sCfDpaP9ZmPHAgu63Uu89/4\n6rd+4u/b//Jn3qcCWEqNTpt/o0EFZ4RVyRRna7GHrwZ4VwpBy3WdvJEaxtW3jiEpPRVAD1h2MxO9\nSBMGGHLtGLClEKWCY+feKf5uRNkXSCHhu65qb80VFK/pDw2FEWGXDQe2AqQp1+z8VMDNmvtcIM5F\nPZ2tzGjRylovjaGxiZCV1hnWUthILZ5KCGhiUIOn6oM7Mie95WFQGisMSaqpMGdWooyd58gk/Gyn\nCFZYkTGmssY3TGKvAg7uT7AymSFmnlg6HuwzIcGzB8KYlZsLyxu7WiO9TYalKA+iw4lhs0vcPmyx\nRbkbLQdaQeA+w8VYauEKtha+zJF8CgQRUq4GuaIJUUtrAOPopB7DfTEVfBpYGjiP9UmZqakW3sj8\nZ9hFpbOGy6jXbG/n6j6nUmbzZ114Tbl+PaaaguIMdNbUNlkgGIPVd8D5VR220cJezQzYa/ydSJVf\nNFLPwzbVa+YKpDtXmelSqiG0sTUu9CoZ49e+9pWfPoD82efep9shkizEYgn7Ld4Znj9eXjOuTqrm\nUVXxxbOLsZqurGc9GwoaKaysRXyPkUJjlGXjSMkRzYTkQg5j1QIPDdkbejtBMOwlM4U9Q8h8Z6pR\nZNNujzGG5eFjuG5J7xrKvqBN1aW2qsRGIU2souXSRkiZJQ2TKzBGJmC96IkixN2Ac7XsoilCaixS\nhFCEXAa6g4ZmD4HCoW1ZuIa3hwecrE+RGEEmljmDZLrsePJgzamHUToOUuCZ1T1s9zibSYmyo5sS\n08IRpwafI2vfcvZwwwu3eqau4esPH5FMzzJNPK4N1k4oE6bL+NQxkjjbWe6kOh65M4x8Zy+0dkkk\nsBfHoI7cetrk2MmOddjyKE5467hphaeXC47bRB8LqxQ56YWLYLhwCwrKUXB8bvM2K/EcNj1LZ3j5\n4UOeWBgeX7Qsmtpg2IXA5B1WIWttvNMS2WFoxSJFwXvGoWZLR1HW4nHGss8TrfGIKeySQVzEIRAM\nmUyaI8KsT5TkwQg5GKZG0eJIUmvMRYWkHoxhk/Z4XI08koaiE9627KylKYkkBT8DtV/71k/+qBbg\nv/7ge/TtILy/KZxTY5t+e9vwl1aBx63wd84dv3KYaI3hf7vw/LWDUMPdTY1++sSTSjhzfHlf+HIy\nECce93WMf2Qzv7Xr+OWDwMcO6nH704vMvWj449Hznx1EPjfCxxfCc21lRF7ZZl5cGopxLFwgt4Vl\naAjZUJ6I2K3w8AEcWmHvHGuuYtIMG5N5MAlDqszlV3bwoRuZVg1femj58M3EcXbsYiHGwvI407uq\n0TMbh2syuSlYMTSjktuGHCbOxszhU4K777FrQ9oWRAsuK3SKCQJN1e9d3ILjuxPqPD4HEIvuRoZF\nrbi/kUDdhLnV09/d426s2GrEPBqQ445ysUOjRXPC6ILsAr7vydvCmWlZuEhWz6O9JxiDqGUf68hy\nkZWdr6Dz1S08uRTe3MBL+8JnVoanFxUJ/Nam8LStsrPf2gm/2NfFSbEyxzJVRvidVGG4vcj8T28Z\n/oNlQa3ym1vDLy+VL+0rU/XxheGlff3Zp7Nm9elWeWkPn+wNv/FI+eRCr2ukvzDAh1z9/m9Hz0j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hJkHqkrgez5i7PI+65ZmgTjyZbZveotRU5qwfQFb3TfQjdMWFNhaiGse+ZdxcXDjtnLicqC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\ne7Rknttkrk08fSqIwNWJxwLbULhFZ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u4ryu0M03nDE6vC/fuFA205ksDv3R653EEsHmMM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\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rmSn0ZKuV2P1+aihAtz+wuO9j5KSAVyvM6DUe6Q3PMo9YTuCNBJKpOB+/+9afRAH8jbff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\n",
+ "text/plain": [
+ "<matplotlib.figure.Figure at 0x7f28105bc2e8>"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pl.figure(2, figsize=(10, 5))\n",
+ "\n",
+ "pl.subplot(2, 3, 1)\n",
+ "pl.imshow(I1)\n",
+ "pl.axis('off')\n",
+ "pl.title('Im. 1')\n",
+ "\n",
+ "pl.subplot(2, 3, 4)\n",
+ "pl.imshow(I2)\n",
+ "pl.axis('off')\n",
+ "pl.title('Im. 2')\n",
+ "\n",
+ "pl.subplot(2, 3, 2)\n",
+ "pl.imshow(Image_emd)\n",
+ "pl.axis('off')\n",
+ "pl.title('EmdTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 5)\n",
+ "pl.imshow(Image_sinkhorn)\n",
+ "pl.axis('off')\n",
+ "pl.title('SinkhornTransport')\n",
+ "\n",
+ "pl.subplot(2, 3, 3)\n",
+ "pl.imshow(Image_mapping_linear)\n",
+ "pl.axis('off')\n",
+ "pl.title('MappingTransport (linear)')\n",
+ "\n",
+ "pl.subplot(2, 3, 6)\n",
+ "pl.imshow(Image_mapping_gaussian)\n",
+ "pl.axis('off')\n",
+ "pl.title('MappingTransport (gaussian)')\n",
+ "pl.tight_layout()\n",
+ "\n",
+ "pl.show()"
+ ]
+ }
+ ],
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