Skip to content

Instantly share code, notes, and snippets.

@rtbs-dev
Last active November 7, 2017 00:59
Show Gist options
  • Save rtbs-dev/e037300cfd2019a342a87d0381e81ece to your computer and use it in GitHub Desktop.
Save rtbs-dev/e037300cfd2019a342a87d0381e81ece to your computer and use it in GitHub Desktop.
GridSearch_and_ParticleFilter
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport matplotlib.pyplot as plt\nimport pandas as pd\nimport seaborn as sns\nimport os\n\n%matplotlib inline",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Q1 \nSee the attached PDF"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Q2 - Parameter Search\n\nFor this section, we will have a high-dimensional input (N=14) predicting binary class outputs. The goal is to see what impact varying hyperparameters has on several supervised-learning methods, namely \n1. K-Nearest Neighbors — K (`n_neighbors`)\n2. Support Vector Machine — sensitivity (`C`)\n3. Decision Tree — maximum tree depth (`max_depth`)\n\n"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "q2_dat_path = os.path.join('.','Q2','Data','dataset.csv')\ndf = pd.read_csv(q2_dat_path, header=None)\ndf.head()\n",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": " 0 1 2 3 4 5 6 \\\n0 4.617188 7.544223 96.991341 6.231069 74.243502 2.308594 4.305319 \n1 3.828125 5.233312 91.306603 5.082047 67.689650 1.914062 3.696373 \n2 5.984375 5.406302 110.161880 4.421386 102.903030 2.992188 6.033886 \n3 2.914062 4.422611 94.296799 6.543121 73.895453 1.457031 2.737916 \n4 4.484375 4.533314 98.297192 3.994144 92.868744 2.242188 5.200673 \n\n 7 8 9 10 11 12 13 \\\n0 19.444002 113.95594 0.018036 18.219113 12160742.0 5442833.3 1830 \n1 33.609954 292.76556 0.014954 34.799839 11585447.0 5869165.0 1830 \n2 87.149990 1332.49200 0.023376 91.457824 27466263.0 22477398.0 2760 \n3 24.732154 168.49137 0.011383 25.468194 10403070.0 5555125.1 1800 \n4 39.773528 430.65585 0.017517 42.137266 14596068.0 5043703.4 1690 \n\n 14 \n0 1 \n1 1 \n2 0 \n3 1 \n4 1 ",
"text/html": "<div>\n<style>\n .dataframe thead tr:only-child th {\n text-align: right;\n }\n\n .dataframe thead th {\n text-align: left;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>0</th>\n <th>1</th>\n <th>2</th>\n <th>3</th>\n <th>4</th>\n <th>5</th>\n <th>6</th>\n <th>7</th>\n <th>8</th>\n <th>9</th>\n <th>10</th>\n <th>11</th>\n <th>12</th>\n <th>13</th>\n <th>14</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>4.617188</td>\n <td>7.544223</td>\n <td>96.991341</td>\n <td>6.231069</td>\n <td>74.243502</td>\n <td>2.308594</td>\n <td>4.305319</td>\n <td>19.444002</td>\n <td>113.95594</td>\n <td>0.018036</td>\n <td>18.219113</td>\n <td>12160742.0</td>\n <td>5442833.3</td>\n <td>1830</td>\n <td>1</td>\n </tr>\n <tr>\n <th>1</th>\n <td>3.828125</td>\n <td>5.233312</td>\n <td>91.306603</td>\n <td>5.082047</td>\n <td>67.689650</td>\n <td>1.914062</td>\n <td>3.696373</td>\n <td>33.609954</td>\n <td>292.76556</td>\n <td>0.014954</td>\n <td>34.799839</td>\n <td>11585447.0</td>\n <td>5869165.0</td>\n <td>1830</td>\n <td>1</td>\n </tr>\n <tr>\n <th>2</th>\n <td>5.984375</td>\n <td>5.406302</td>\n <td>110.161880</td>\n <td>4.421386</td>\n <td>102.903030</td>\n <td>2.992188</td>\n <td>6.033886</td>\n <td>87.149990</td>\n <td>1332.49200</td>\n <td>0.023376</td>\n <td>91.457824</td>\n <td>27466263.0</td>\n <td>22477398.0</td>\n <td>2760</td>\n <td>0</td>\n </tr>\n <tr>\n <th>3</th>\n <td>2.914062</td>\n <td>4.422611</td>\n <td>94.296799</td>\n <td>6.543121</td>\n <td>73.895453</td>\n <td>1.457031</td>\n <td>2.737916</td>\n <td>24.732154</td>\n <td>168.49137</td>\n <td>0.011383</td>\n <td>25.468194</td>\n <td>10403070.0</td>\n <td>5555125.1</td>\n <td>1800</td>\n <td>1</td>\n </tr>\n <tr>\n <th>4</th>\n <td>4.484375</td>\n <td>4.533314</td>\n <td>98.297192</td>\n <td>3.994144</td>\n <td>92.868744</td>\n <td>2.242188</td>\n <td>5.200673</td>\n <td>39.773528</td>\n <td>430.65585</td>\n <td>0.017517</td>\n <td>42.137266</td>\n <td>14596068.0</td>\n <td>5043703.4</td>\n <td>1690</td>\n <td>1</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# ((df-df.mean())/df.std()).loc[:,:13]",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from sklearn.model_selection import train_test_split, validation_curve\nfrom sklearn.pipeline import make_pipeline\nfrom sklearn.preprocessing import StandardScaler\nfrom sklearn.svm import SVC\n\n# split training set and target labels\nX, y = df.loc[:,:13].values, df.loc[:,14].values ",
"execution_count": 5,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Let's make a helper function that takes in scores from multiple training and testing folds, and plots out the scores as a mean, with 1 IQR confidence intervals. We can also add the option to make it plot on a log-scale for parameters that have a more logarithmic interaction with performance (I'm looking at you, SVM). \n\nWe will then perform 5-fold cross-validation, and report the training and testing scores for each fold, for every hyperparameter setting. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "\n\ndef train_test_plot(vals, score_train, score_test, param_name, log=True):\n f, ax = plt.subplots(ncols=2, sharey=True, figsize=(15,5))\n \n iqr = lambda x: np.subtract(*np.percentile(x, [75, 25]))\n n_folds=score_train.shape[1]\n if log:\n ax[0].semilogx(vals, score_train.mean(axis=1), c='dodgerblue', marker='+')\n ax[1].semilogx(vals, score_test.mean(axis=1), c='xkcd:rust', marker='+')\n else:\n ax[0].plot(vals, score_train.mean(axis=1), c='dodgerblue', marker='+')\n ax[1].plot(vals, score_test.mean(axis=1), c='xkcd:rust', marker='+')\n ax[0].fill_between(vals, score_train.mean(axis=1)-iqr(score_train), \n score_train.mean(axis=1)+iqr(score_train),\n facecolor='dodgerblue',alpha=.2,edgecolor='none',\n label='IQR')\n ax[0].set(ylabel='Mean CV score \\n(label accuracy)',\n xlabel=f'{param_name} Parameter',\n title=f'Training set (over {n_folds} CV folds)')\n ax[0].legend(loc=0)\n\n \n ax[1].fill_between(vals, score_test.mean(axis=1)-iqr(score_test), \n score_test.mean(axis=1)+iqr(score_test),\n facecolor='xkcd:rust',alpha=.2,edgecolor='none',\n label='IQR')\n ax[1].set(xlabel=f'{param_name} Parameter',\n title=f'Test set (over {n_folds} CV folds)')\n ax[1].legend(loc=2)",
"execution_count": 6,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## KNN - parameter effects\n\nVarying `n_neighbors` over 1 &ndash; 40 neighbors "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from sklearn.neighbors import KNeighborsClassifier\nknn_pipe = make_pipeline(StandardScaler(), KNeighborsClassifier())\n\nKNvals = range(1,41)\nscore_train, score_test = validation_curve(knn_pipe, X, y, \n 'kneighborsclassifier__n_neighbors', KNvals, cv=5)\n\nwith sns.axes_style('darkgrid'):\n train_test_plot(KNvals, score_train, score_test, 'K-neighbors', log=False)",
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0aa87035f8>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA5MAAAFJCAYAAAAG1XnpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "With K=1 &ndash; 3, it's clearly overfitting, since our score is perfect. However, the test set is still predicted respectably, indicating that the classes are clearly cabable of being distinguished with small-scale topological features alone (i.e. the features are highly *local*). \n\nPerformance actually remains fairly constant until around K=36 &ndash; 40, at which point both sets fall...indicating that the high level of \"averaging\" happening with lots of neighbors is smoothening away valuable distinguishing features for prediction...the features are not *global*. Another issue stems from the high dimensionality, since this makes points on average much farther away. This means high K will use information from \"neighbors\" that are potentially *very* far away, to make a classification. "
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## SVC - parameter effects\nWe vary the sensitivity parameter, determining how important individual points' proximity to the separating hyperplane affect the overall penalty. "
},
{
"metadata": {
"code_folding": [],
"trusted": true
},
"cell_type": "code",
"source": "svc_pipe = make_pipeline(StandardScaler(), SVC())\n\nCvals = np.logspace(-2, 2, 30)\nscore_train, score_test = validation_curve(svc_pipe, X, y, 'svc__C', Cvals, cv=5)\n\nwith sns.axes_style('darkgrid'):\n train_test_plot(Cvals, score_train, score_test, '\\\"C\\\" (penalty)')",
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a44bb2e48>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA4YAAAFNCAYAAABcw3FTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The C parameter indicates that overfitting doesn't really occur for SVM's in this set at all; At low C, the training set also performs poorly, indicating that trying to account for very small differences in the inputs will sacrifice a deeper \"understanding\" of the underlying topology. The small-scale (local) differences are clearly not linearly separable, but (as we expect for a highly-dimensional feature-space) the overal system is linearly separable in a fairly fundamental way. "
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Decision Tree - parameter effects\n`max_depth` determines how \"deep\" (how many successive splits) the tree is allowed to be. We use entropy criterion instead of Gini, since this is a fairly inexpensive tree to train, and we are not using a boosting method. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from sklearn.tree import DecisionTreeClassifier\ndt_pipe = make_pipeline(StandardScaler(), DecisionTreeClassifier(criterion='entropy'))\n\nDTvals = range(1,41)\nscore_train, score_test = validation_curve(dt_pipe, X, y, \n 'decisiontreeclassifier__max_depth', DTvals, cv=5)\n\nwith sns.axes_style('darkgrid'):\n train_test_plot(DTvals, score_train, score_test, 'Max. Depth (no. splits)', log=False)",
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a4493b9b0>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA4YAAAFJCAYAAADHUjNFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The decision tree is changing in the opposite direction of the other two learners &mdash; going from left to right is going *toward* overfitting, as we increase the tree depth. Total accuracy is achieved after only a depth of 5 splits. \n\nHowever, the test accuracy does not seem to converge, indicating that binary decisions in the direction of each of the features alone is not sufficient to completely describe the system. As we guessed before, the small-scale topology is highly non-linear, meaning that a decision tree will never quite be able to model them without some higher-order interaction effects being added as features. "
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Q3 - Particle Filter\nWe are modeling the decay of LED's over time as \n$$x(t_{k+1}) = x(t_k)e^{-b\\delta}$$\nwhere $x$ is the system damage, $t$ is the current time (at each $k$th obervation). $b$ is the decay magnitude parameter, with governs the rate of decay. \n\nFor the particle filter, we will determine each update using the likelihood \n$$\\mathcal{L}(x_{k+1}) = \\mathcal{N}(x(t_{k+1}), s) $$ \nand the priors for $x$, $b$, $s$ as some later-defined functions (e.g. uniform distributions). We will update our belief about the distributions for each parameter and the state variable $x$ by using particles, and finding their likelihood given the PDF above. we will then selevtive re-sample to obtain copies of the highly-likely particles and delete the unlikely ones, which should converge closer to the \"true\" parameters at each time step *while still retaining the underlying physical model for state transitions*. \n"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from scipy.io import loadmat\ndt = 21\nn_meas = 10\nq3_dat_path = os.path.join('.','Q3','LED Data')\n\ndf = pd.DataFrame(columns=('meas', 'hr'))\n\nfor n in range(n_meas):\n \n dat = loadmat(os.path.join(q3_dat_path, f'TESTLED{n+1}.mat'))['led']\n df = pd.concat([df, pd.DataFrame.from_records({'meas':dat[:,0], 'hr':dat.shape[0]*[dt*n]})])\n# print(df)\ndf.meas /= 100.\n# df.set_index(['hr', df.index], inplace=True)\ndf.head()\n",
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": " hr meas\n0 0 1.0000\n1 0 1.0623\n2 0 1.0609\n3 0 1.0547\n4 0 1.0520",
"text/html": "<div>\n<style>\n .dataframe thead tr:only-child th {\n text-align: right;\n }\n\n .dataframe thead th {\n text-align: left;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>hr</th>\n <th>meas</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>0</td>\n <td>1.0000</td>\n </tr>\n <tr>\n <th>1</th>\n <td>0</td>\n <td>1.0623</td>\n </tr>\n <tr>\n <th>2</th>\n <td>0</td>\n <td>1.0609</td>\n </tr>\n <tr>\n <th>3</th>\n <td>0</td>\n <td>1.0547</td>\n </tr>\n <tr>\n <th>4</th>\n <td>0</td>\n <td>1.0520</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sns.pointplot(x='hr',y='meas', data=df)\nsns.swarmplot(x=\"hr\", y=\"meas\", data=df)\n# sns.violinplot(x = 'hr', y='meas', data=df, color='b', alpha=.1)",
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x7f0a4a54b6a0>"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a448ae2b0>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEKCAYAAADjDHn2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxMQAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The LED's are decaying at different rates (as we would expect), so we will create a PDF for each one and \"Average\" them by finding the mean likelihood over all particles, which provide a nice reference frame for comparing every LED. We obviously have to re-normalize to ensure the PDF has an integral of 1. \n\nMeanwhile, it's alarming that we are starting with Uniformly-distributed priors for $x$ when we clearly see the a heavy-tailed (occaisionally even bi-modal) distribution in the plot above; regardless, we can do it anyway. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# import pymc3 as pm\n# from scipy.stats import uniform,norm\nimport scipy.stats as sps\nfrom tqdm import tqdm_notebook, tqdm\n\ndef particle_run(n, init_dist, init_param, times, df_obs, likefunc=sps.norm, draw=True):\n \"\"\" Runs the Particle Filter for all observations, then until .99 fail ratio\n n: \n number of particles\n init_dist: \n which distribution to use for drawing initial particles from\n init_param:\n dict of initial parameters for init_dist (x, b). (s is always uniform)\n times: \n the times observations ocurred\n df_obs: \n a multi-Index Pandas data-frame containing the (indexed) observations for each \n (indexed) time-step\n likefunc:\n distribution to use for likelihood\n draw: \n whether to report out the particle distributions over (observed) time\n \"\"\"\n\n def like(x, b, s, obs, dist):\n rep = obs.shape[0]\n xi,_ = np.meshgrid(x, obs)\n bi,_ = np.meshgrid(b, obs)\n si,_ = np.meshgrid(s, obs)\n \n xn = xi*np.exp(-bi*dt)\n \n L = dist(xn, si)\n pdf = L.pdf(obs)\n return xn[0], pdf\n \n x = init_dist(*init_param['x']).rvs(n)\n b = init_dist(*init_param['b']).rvs(n)\n s = sps.uniform(*init_param['s']).rvs(n)\n \n log = x.copy()\n t=0 \n \n if draw:\n f, ax = plt.subplots(ncols=3, figsize=(15,3))\n\n portion = (x<=.7).sum()/x.shape[0] # how many have failed\n\n while (portion < .99) and (t<1000):\n if t in times:\n x, pdf = like(x, b, s, df_obs.loc[t], likefunc)\n for i in range(n): # resample according to observation\n prob = pdf.mean(axis=0) # mean pdf over b,s particles\n prob /= prob.sum() # renormalize to sum to 1.0\n x[i] = np.random.choice(x, p=prob) # resample acc. to pdf\n b[i] = np.random.choice(b, p=prob)\n s[i] = np.random.choice(s, p=prob)\n if draw:\n sns.distplot(x, color='r', ax=ax[0], kde_kws={'alpha':portion}, hist=False)\n sns.distplot(b, color='g', ax=ax[1], kde_kws={'alpha':portion}, hist=False)\n sns.distplot(s, color='b', ax=ax[2], kde_kws={'alpha':portion}, hist=False)\n\n else: \n x *= np.exp(-b*dt) \n\n t += 21\n portion = (x<=.7).sum()/x.shape[0]\n log=np.vstack([log, x])\n\n if draw:\n f.suptitle('x, b, s distributions over time (darker=later)')\n return log",
"execution_count": 48,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "It would also be nice to plot the results in a tidy way. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "def particle_plot(log):\n hrs = 21*np.arange(log.shape[0])\n with sns.axes_style(style='ticks'):\n\n f = plt.figure(figsize=(15,3))\n plt.plot(21*np.arange(log.shape[0]-1),np.mean(log, axis=1)[1:], ls='--', color='xkcd:rust')\n plt.fill_between(21*np.arange(log.shape[0]-1), \n np.percentile(log, 1, axis=1)[1:], \n np.percentile(log, 99, axis=1)[1:], alpha=.3,\n color='xkcd:rust') \n plt.xlim(-10,400)\n plt.ylim(.3, 1.1)\n plt.xlabel('Time (hrs)')\n plt.ylabel('Damage Level (x)')\n plt.axhline(.7, ls=':', color='k', alpha=.2)\n if len(hrs)>=10:\n \n plt.axvspan(hrs[9], hrs[-1], alpha=.05, color='r')\n plt.text(250, .85, 'Future (Unobserved)')\n\n ax2 = f.add_axes([0.5, 0.13, 0.2, .77])\n ax2.set_ylim(.3, 1.1)\n ax2.set_xlim(0,20)\n sns.kdeplot(df2.loc[189].meas.values, \n vertical=True, bw='silverman', \n ax=ax2, color='xkcd:slate', label='Obervations')\n sns.kdeplot(log[10], \n vertical=True, bw='silverman',\n ax=ax2, color='xkcd:rust', label='Particle Filtered')\n ax2.axis('off')\n ax2.axvline(0, color='k', ymin=.1, ymax=.9)\n ax2.legend()\n\n sns.despine()\n\n ax3 = f.add_axes([0.125, 0.5, .395, .5])\n sns.swarmplot(x=df.hr.values, y=df.meas.values, \n ax=ax3, size=3, color='xkcd:slate', alpha=.7)\n ax3.axis('off')\n \n fails = (log<=.7).sum(axis=1)/n\n p95 = np.argmax(fails>=.95)\n\n with sns.axes_style('darkgrid'):\n f, ax = plt.subplots(ncols=2, figsize=(15,3))\n \n ax[0].plot(hrs, fails, color='dodgerblue')\n ax[0].plot([0,hrs[p95], hrs[p95]], \n [fails[p95], fails[p95], 0],\n color='xkcd:rust', ls=':', marker='o', \n markerfacecolor='none', label='P >= 0.95')\n ax[0].axvspan(hrs[9], hrs[-1], alpha=.1, color='r')\n ax[0].set_xlim(0,hrs[-1])\n ax[0].set_ylim(0,1)\n ax[0].set_title('Cumulative Probability of Failure (x<=0.7)')\n ax[0].set_xlabel('Time (hrs)')\n ax[0].text(300, .5, 'Future (Unobserved)')\n ax[0].legend(loc=1)\n \n pdf = np.diff(fails) # approximate PMF with finite differences\n ax[1].plot(hrs[1:], pdf)\n ax[1].set_ylim(0,pdf.max()+.05);\n ax[1].axvspan(hrs[9], hrs[-1], alpha=.1, color='r')\n ax[1].set_xlim(0,hrs[-1])\n ax[1].set_title('Probability Density of Failure (x<=0.7)')\n ax[1].set_xlabel('Time (hrs)')\n",
"execution_count": 79,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df2 = df.set_index(['hr', df.index])\ntimes = range(0, n_meas*dt, dt)\n\nn = 3000\nparam0 = {\n 'x':(0.9, 1.1),\n 'b':(0., 0.05),\n 's':(.01, 0.1)\n}\n\nlog=particle_run(n, sps.uniform, param0, times, df2)\nparticle_plot(log)",
"execution_count": 81,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a3917a550>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA3QAAADYCAYAAACjpqGzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGAyGFYox6AwGg8FgMBgMBoNhhfL/A4jhQ2EQgez4AAAAAElFTkSuQmCC\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a39158f98>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA4QAAADyCAYAAAAV3Qt6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a3929f7f0>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA2YAAADcCAYAAAAbbLJwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/2CgbTSlw7M4AAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The top row shows the time-varying estimates for the parameters. Our normal assumption for the likelihood, along with the restrictive uniform priors, is causing our model to overcompensate for the \"holdout\" LEDs, which are actually appearing to *decrease* in damage level, maybe from a type of \"burn-in\". Regardles, This makes our particles try to go toward \"negative\" $b$ toward the end of the observations, and then switch back to rapid decay, leading to the bizarre bo-modal fail-time distribution (which is not at all what we would expect to see). In fact, we should never see a *drop* in the cumulative probability for a purely monotonic function (i.e. damage goes up, not down, with time). \n\nWe need a set of priors that will restrict non-physical states, while not restricting the *spread* of parameter values quite so much (we actually would hope to see more uncertainty than above, note the uncertainty bounds far within the true LED measurement spreads). \n\nWIth that in mind, let's draw the $x$ and $b$ initial particles as **Half-Normal** priors, which prevents negative damage or \"more-than-perfect\" LED health states from occuring, while not preventing gradual drift. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 3000\nparam0 = {\n 'x':(.9, .1),\n 'b':(.0, 0.001),\n 's':(.01, 0.1)\n}\n\nlog=particle_run(n, sps.halfnorm, param0, times, df2, draw=False)\nparticle_plot(log)",
"execution_count": 64,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a39374d30>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA4QAAADyCAYAAAAV3Qt6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd8XOd14P3f3Du9YDAYdAx6B8EGdopVJEWJoiSqUpJt\nWXY2iaviddax/b6JV86+emNnN46TbLxWYsu2bFm9UxIlsYi9FxC99zLoZXq7+8eAI9ESRRWiSHy+\nn48+AmZwZw5mAPCee57nHJWiKAqCIAiCIAiCIAjCNUea7QAEQRAEQRAEQRCE2SESQkEQBEEQBEEQ\nhGuUSAgFQRAEQRAEQRCuUSIhFARBEARBEARBuEaJhFAQBEEQBEEQBOEaJRJCQRAEQRAEQRCEa5RI\nCAVBEARBEARBEK5RIiEUBEEQBEEQBEG4RomEUBAEQRAEQRAE4RolEkJBEARBEARBEIRrlEgIBUEQ\nBEEQBEEQrlEiIRQEQRAEQRAEQbhGiYRQEARBEARBEAThGiUSQkEQBEEQBEEQhGuUSAgFQRAEQRAE\nQRCuUSIhFARBEARBEARBuEaJhHAOC4fDnK9toKOnD4BgMEQoFL7s19c2tfL7F3ZRWds4UyEKgiAI\ngiAIgvAZpp7tAK5F4UiE6vpm4iwmcjMzLvt17xw7zYnz1QDctHENbx86jkYt88Cdt2C3WQEIhcLU\nt7SRbE9g9ztH8PkD9PQPsqC0EJVKNSPfjyAIgiAIgiAIn03XXEI4MjZBV28/RXlZGPT6j3SMy+3B\nOTRCjiONQyfP0dnTx/pVS8nOSPvYz19V38wzr76Jy+MlyW7jrps3U1nbiE6r5aYN16HRvPuWBEKh\n2MftXb2EQiFCoRA1jS24PR6y0tPo6OnjfG0DalkmPSWJzt5+HKnJsWRwbGISvU6Lzx/gjf1HMBr0\nbLt+DRq1mpGxCUwGPTqd9mN/H4IgCIIgCIIgfPZ9rhNCRVFQFAVJiq6MDYXCPP78q3i8Pqob0tiy\ndiXt3b2UFeZhNhkvObalo5vuficLSgr5/Quv4XJ7yMty0NrZDUSrd1++6xYAfH4/R06dR6fT0tnb\nj9fr57atG0i0xb8vpjcPHKW7f4BgKIQtPo7K2iaa2joBiI8zU93QgizL3HfrVq5ftYxAIEh6ajL5\nWQ5GxsfRaTS0dfbQ4xzgXE1DLCkNhcNsXb8afyBAV28/7d29jIxNsPudaBKYl+WgrasHgIKcTMYn\nXby29xA2axzf/PI9Hzk5FgRBEARBEATh8+NzkxB6vD5UKmKJjcvt4XfPv4rb4+PumzeTm5lBRIkQ\nCARjX//7F17DHwjQ0NrOfbfexIHjpwlHIlTML+XZXW8RURS6evtxuT3Rx/R6sVnjGB2fwKjX86+/\neZLEhHgS4q2crapjYtKFJEkYDXrOVdezZe3K98XZ6xzA5fGgUavZuHoZKfYEmto6UMsyYxMuxiYm\nAWhs68Tt8VLT2EJLRxfZ6amkJtqxWsyMjk/Q4xxAp9Wy6bpl7D92hoKcTJLsNl55+wDVDc2oVKpY\nsujx+mIJr1ajISXRzrOvvU1rZzeyLE9VTHOm+y0SBEEQBEEQBGGO+VwkhPXNbfz8sT8SDof5xpfu\nZnF5KV19TsYnXABU1jZy6MRZgqEwWzdcR3NbJ+lpSRw+cQ6AcDjChfqm2H49tVqNJElEwmGMBgPL\nFsyjf2iYG9atZGRsnLHxSXqdg7jcHlxuDyaDIXZc/+AwiqKwYdXSD4xVr9NhMhgIhcLsO3KSinkl\nPHj3rXT09GK3xdPS0YUkSeRlOdh75AQAPn+AfUdPxaqTO7ZuRC3LFBfkcupCHW1dPfQPDjG/pOCS\n51q2sJyIomC1mEmwxnHfrTcyOj7Br556ka6efhRAiSj4/IGr/p4IgiAIgiAIgjD3fS4SwnO1Dfin\nkpqT52sozM0mx5GGIzWZSbcHo8FAbVMrAO3dvTS2ddDQ2s6C0kImJt3YrHEYDbrY4yXZbZQW5OL1\n+8lMS+HtQ8cBaGnv4p3jZwAoLcxDkiTsNiubrltOcX423b0DvLLnHRRFYWLS9YGx7ti6kd0HjjI0\nPIpalmlo62BwZIz+wSEsZhOrlyxk75GTvLH/MFvWrcTl9pLtSMNk0NPa2Y0kSZyvaaC9u5eaptZY\ncxmvz8+pylpGxyYoLczFZDCw7+hJ5hXm4Rwe4fX9h9FqNKQm2YlEIsRZTOj1OhIT4inIyZq290YQ\nBEEQBEEQhLnrc5EQXr9qGWer6giFwhgM0aWcOY50dmzdyNnqeuIsJgx6HaFQmBS7jRpFAaJLKdu7\ne2nv7gUV3L51I6FwmKHhUaoamgEu6dQ59p4kLyUxgdu2rMc5NMIvn3gOSaWivLiAcDhCOBJBuUys\nyxeVs3xROcfOXOB8bQNLF5RxqrIGAH8gQE1jCwAdPX0cP3OBvoFBJt1u/mznDnz+AI60FE5OVTID\nwSAbVi3l0MlzFOZksv/YaQAm3SYUYNLl5uDJs2SmpQAQCoWYX1LI0OgYKxYvYMPKJVjjLBj0uvcH\nKgiCIAiCIAjC555KUZTL5S6fSf/2myeZnNrzl5mWQlefE0mS+MKObTS0tJGfk8nA0AjNHd0sKClg\n195DKIpCYW5WrLlLUV42ja0dANy44Tp6+gewWsw40lNoaG4nzmxiZGwct9dLQryV0xdqAVhUVsyF\n+iYikQh3bttMcV72R4p5YGiEqvomivNzGB2fZO+RE+Q40nG5PXT29gPE4tNqNNx7yw3sO3aakvxc\nRsbGOVtdh9Ggx6jXMzQ6RklBLka9nrPVdeQ40tl2/RrOVNWRlZFKoagGCoIgCIIgCIIw5XOXEF6o\na+TY2SrmFeXRNzBEU1snGrUae3wc/UMjSJLE4nnFnKmqQy3LbN+8Dpfbg6JE2HvkFADrVy4hPs5C\nn3OIk5XVaNRqNqxaGls6WlFeytnqOgBKCnIYHZtEklTctW0z4UiEcDgSW8r5afQPDnPwxBkcaSl0\n9fbT0hHdQ3ix26lOqyUhPo6+gSEA/st9txOJKCTZbciShNvjxWjQi3mEgiAIgiAIgiB8oM/FktH3\nWlBaxILSIiA6DqK2qQ1HajL7jp4CRtCo1bGuoaFwmMa2DmobW0my21g8rxhFAYvZyNDIGB6fD4Bg\nKETfwGDsObQaNVqthkAgSGFO9vuauVwNze1d1DW1snrJQhxpKYwV5nHs7AUcqcmx5az+QIB1Kyqo\nrG0kKyONpATbJcmfyWi46nEJgiAIgiAIgvD58bmrEF6Oz++nvrkdR1oyOq2Ww6fOkWRPoLKuEefg\nMADfeOAeQuEw//HE8wDkZmYgyxIWk5FN1y3n+LlqIpEIa5Ytxh8I4A8ESYiPu+qxhiMR/unRxwmF\nw8SZTezYupH27l4WlhZhMZtwDg1zrrqBzPQU5hXlM+ly8/jzu/B4fdxzyw2xcROCIAiCIAiCIAgf\n5nNXIbwcvU7HonnFsc9v2rgGAKvFzP5jp7CYTbz45n6SE2zRkRORCPFx5tjXAaxbURH7WK02TFsF\nTpYkLGYTo+MTmE1G/vjSG4TCYdq7erGYTdQ0trB4XjHzivIBaO/uY3yq4U1DS/v7EsJAMIhGrRZL\nRwVBEARBEARBuMQ1UyG8aGLSRUdPPwU5jtgQe4DfPvsKvc7ostAdW68nEAwwrygfjXpmcuaOnj52\nv3OUlKQEbly/moMnz+Hz+dm4cim/fOI5gqEQOY50Onr6UBQFrVbDrZvX8/Jb72CNMyOpJPyBAHfe\ntIkJl5tDJ89RlJdFnNnMa/sOYbfF8+Bdt6DTaWfk+xEEQRAEQRAEYe67ZiqEAIqi8Pjzu5hwuUlP\nSeLBu2+N3ZfjSKfXOYjVYkajkSnOK0CW5Y/0uC0dXbg9XsqLC5Ak6RPFdvzsBYZHxxgeHUOJKNQ1\ntwFQnJfN2hWLcbt9rKyYz7nqes5U11FWmE9VQzPBUIihkTG2rl9NW1cPnb39nKupZ3h0HOfQMFnp\nqQAMj44xODKKY2oExdUUCoUJRyLotJqPfezEpItJt4eM1OSrHpcgCIIgCIIgCB9Ofvjhhx+e7SCm\nS//AEM+/sZee/gEKsjMBOHjiLJFIJJa4DY6MkpqUSE5mOqUFeVyoa+R8TQPDY+OYjAZOVdZgNhlx\nDg2z7+gpZEkiMSE+9hwdPX08+fJuGts6UctqMqcSsI8rEAzR3N5FQryVHEcanT3RcRPBUIgzVXU4\nh0ZYUl5CdmY6F+qaaOnoIiE+Do/XS2pyIgNDI7R39dLa2UOOI4OhkVHSkhNZs3wxvf2D5DjSWLqg\n7BMnrJczMeniP558gUMnz5GSZMfn89PV24/dFo90hSWqYxOT/OeTL3K2ug5Zkj/xaycIgiAIgiAI\nwifzua4QHjlTSU//AD39A8wrzCfJbuOe7TfQ0NpOKBRmz+ETAGg0aiYm3MiyhMvjBWBoZJSnX3mT\nYCiaqPn9AdxeLy3tXXzva19mdHySM1W1lywpDYZDnzjWivISSgty0WrUSJJEkt2GQa/nTFV0vEUo\nFMLj8xMIBhkdnwDA7fGRnGhnfGIylqSajAZu2riajauXYjEZkWWZr3/p7k8c15X09A/gnnrNKmsb\naWrrRFEUBoZG2Lh6GeFIBFmSOF/bwP6jp8jLcnDrlvWoVComXG4CwSAAAyMj0xajIAiCIAiCIAgf\n7HOdEOY60mloacdsNLD38AmcwyOsqljADetWcfJ8dezrahtbY0PpK8pL8fp8LF9UzvNv7CUYCqHX\naTEZDdFB9DYrKpWKXXsO0N0/gCRJbFm7kmAoxLKF8z5RnOFwmDNVdeh12tjIjJL8XABscRYMOi1e\nX4AnXnydbEcayxeV09nTT35WBodOnQMgMy2FB+7cjs0ah16nQ6/TfZqX7iPLy84kL8vBpNtNUW42\nja0dAHh9fo6fq2LfkZPkZKbjdnvx+vzUNLawcdVSGlo7qGtqJT87E41GzYaVS2ckXkEQhMv59VMv\n8Wf37pjtMARBEARhRl3d9YPv8cMf/pBVq1axffv2D7y/paWFnTt3Ul5ezq9//etpiaFifinf+vJO\nvnTndpzD0QpUY1snQ6NjlBfns33TWu7atvmS/WslBTmsWrKQl97cj1ots2LRfIZHx+kbGGTzmhXc\ntOE6TlXWIMnRl06rUbOwrIjVSxZ+4gY0x89VsefwCXbtPRRLTC+Ks0Q7nU64XPgDARpbO1CpVPQP\nDlHX0o7VYkaWZUqL8nCkpeD2ejlbXY/P7wdg0uXmVGUNQyOjnyi2K9FpNdy8aS1lhXnYbVZu3HAd\n6clJFORmUlXfBEB7Vy+FuVmoVCrysx3odFrePnSc7v4BBoZHuOPG64mPs0xLfJ9E/+AwTe3RSuf7\n7hsY4lRlDd6pGZVXm6Io1DS0UNfUOi2PP9P6Yq+Xf7ZDeZ9wJBKtard3XvmL5xCvz8epyhr6p8bl\nzEUdPX2cqaojGPzkqyZmkqIoVDc0Mzw2NtuhCIIgCMKMm7Y9hFarlTvvvJM9e/Zw//33v+9+RVFY\ntGgR8fHx6HQ6KioqPuBRPj2dTotBryMYCuH1BUi223jzwFEq6xopK8zj9f2HGR2bYPnicgLBIBMu\nN87BYTp6+vD5A5iNBpxDI0QiCsn2BPYdPUlDawc6nZbrVy9j7fIKLCbjp4qx1zlIW1cPAAa9ntMX\natHrdFjMJjp7+tDrdMiyTGtnD9mONEbHJph0e/B4fXz5rlvYsLICFSpQqfj1Uy/S0NLOwPAI5cUF\n/OHF17lQ10RtUysrFpVPy+iJZ3e9xYW6JmoaW9FrtTR3dFHX3EbF/FKGRkZJTU5kXlEet25Zj8vj\npbq+mVA4jNfnpyg3m+L8nKse0586eqaSJ1/ezcj4BMV52YxPutCo5fftqRwYGuE3z7xMTWMLajm6\nr7Grt5+q+iYMBj2PP7eLpvZOBodHKS8uuOpxVtY1smvvQepb2kmIt5JsT/hYx4fDYXz+ABrN7Bf/\nvT4f//nkizS3dzI8OhYbkzJXHD9zgbcPHae2sZXM9NQ5dVHiwzz/+l7OVNVS3dDMkvmlqGeoE/JH\nNTw6zm+ffYXm9i68Ph+FuVmzHdIVna9t4LW9h2jr7KUg20GS3TbbIQmCIAjCjJm2M4lly5bR3d19\n2fvtdjt2u50DBw58oscPhUL09/eTmpr6kU6Irl+9nOtXL+elN/cD0SWNpy/U4vH68Hh99DmH6HUO\n0uscpLy4AK1Wg16rZfWShUy43Hh9flKTEjlTXRd7zPklhZ8o9vcam5ikKDcLg06HVqPm5bfeIaIo\nDAyPkJRgo62rB7vNypa1K0m220hLSiQ9NZk9h46TlZGG3WblyZd3097dS7YjjVAoDBC7Mh8ORz8P\nRyJMuj3odTp0Wg39A0OgUpGaZP/U38PFJFMFhMMRIJrwF+dmk5mWwh9feoOu3n6WLizjdGUtAKUF\nudx50ybstvjLPexVdbaqjlA4TFV9E5IkUVnbQHpKEquXLuSN/UdITbJz17bNuL1eIlOVwUm3G6/P\nx5Mv7yYUDtPc1hW77+L3ebW993HbOrvZ/c5RHGnJrFy8gJfe2o/FZOK+27Zi0OtRFAWVSsXYxCTj\nEy5SkhL4zTOvMDo+wY3rV1Mxv3RaYvyoIhGFSCT6/Vz8OZxLQu+JqaaxhVfePkBJfg43rFs1i1Fd\n2cXXMqIoH1jFnm2RSCQWly8QZHB4dM4nWLG/WyiEpul3WxAEQRDmqrl1afkynn76aZ5++ulLbgsE\nAjQ1NbF3714cDscVH6PXOchrew+h02nIdqShlmVK8nJwDg1jNBgoykqh5kIlyGryEk1sWnITu4+d\n45U9B9m6bhW7Dxzlpbf2U5CTSWpS4lWpDnV09/Hky2+gAPfeeiO5mekcPXMB59AwqUl2BoejyzxH\nxyfZf+wMzsFh+geH+cYD97CyYgEHT5zh9X2H6epzAtA/MMydN13Pqcpa1q2owO3xkp6SRJzFRFpS\nIv/+u6cxGvSsX7GEN945AsDOW7aSn33l1+/D7Ni6keqGZrIy0rBZLSTa42nv6uXlt965pHOoElZQ\nyzKhcJgEm5XEhJk7SawoL+XQqXOUFeTS2dMHRH8mTpyrxu3x0tLRzbmaBlo7u8nNzECr1dA/NMz+\no6djCa9er+XeW7bS2dvHonkl0xLn4nnFKIqCpFJR09SKPxCgpaMbFeD2eHF7vFQ1NHPiXDWBQJCb\nr1/Dq3sOEgyFmFeUF2s41NzRNSMJ4dDIKHuPnCTJbmPjqmW4PF40ahm9TofJaODeW7fS3etk4bzi\nS46LRCLUNbcRZzbNaHfZYCjEG/uP4PP72bJ2JVqtBqNex6FT53C5PZy+UEtmWiqtXd0snleC1+fn\nxPkqSvJz0Wk0vLbvEOkpSdx7642o1R9tLM3VduuW9ZyvbSArI+2SWapzRZLdxl3bNtM3MERlXQP/\n+WQrKyvmc/3q5bMd2mVVlJegKAqv7jlAeVoSDA3NdkiCIAiC8NElJn6qwz8TCeHOnTvZuXPnJbd1\nd3ezadMmAFxuD7v2HkKWJbZvWodB//6GKicrqxmc2ke3eF4J52rqae3s4d5btlLd2EJDUwubUxR0\nBjX6jvOcrT7O2foBkCR2D3XS5woiqTWMDji59bpFyFoJJRJB9Z4lh4qicOzsBXx+P9ctXXzFuXz9\ng0OxilNzexe1jS1UzC8hPi6Ort4+7PHxjLtcpCUlMjQ2hnNwiPg4Cyrg5PlqvD4/lXWNbF6zgvqW\ndpaUl3Kmqp727l6GRsdwpCZT39I+FVw0qfF4fbT39MZiuJhAfBomo4EVi+fHPp9fXMCB42ein6hg\n6YIy/IEgG69bxrJF8xifdJHjSP/Uz/txrF66kNVLFwJQ39LGkVOVFOdlE2+10NM/QEpiAmeq6hge\nje4hys3MoKdvgJ6+AW5cv5pQOEx5cQFGg55sR9q0xSlJEksXlAHR7re9zkEyUpNZumAenX1OjHo9\noVCESZcbgOrGFoKhaDU4oijMLy6gf2iYVRULpi3G9zp44iwtHd20dHQjSxJHTlei12n5yj23YbPG\nkZacxKTLQzAYpKOnj7cOHiM1KRGrxczhqYZIX7nnNtKSP90fso+qvrmN6oZmACwmIx09/bg8HnIc\n6YxPuMjLyuCVt98hHInQ3t2LpJIYHZ+gvauXzPQUQuEwnb39saXQs8Ht8TI4MobFbCI7Y/p+Fj+N\norxsEhPiOXL6PADdfQOzHNGHU6lUGA16fL4AqmAQZqgplyAIgiDMBZ+JhPBKztc0cKaqlpGxCYZH\nxrh7+w0cOX2ejNRkKspLaGztIMEah0qlwmIyIknR5EhRFM5U19HY2kHI70VtUlHkSOXN2i7Ukoo4\nqwW3N0hBkoVUk5eu4UnmacbpPvAyrSNefMEwRY5k9reNMu4LU16Ux7mmTlSyDJEI169Z+aFxLywr\niu5PVCL09A/Q6xygsq6ReUX51DS2ALBueQX7j51CpVKxYdUyjpw6x//5/bMU5mYzOj5BYW5WLIEY\nHZ9gfNIFRBM/jTqakEqSxLKFZQQCAaxxFm5YtxKj3oAkqVhYVnTV3w+T0UBaciJ9A0PYrHGcqapD\nURTmFeWRl+UgId561Z/z4yjJz411cQ2HwzS1dTI2MYnFZGR4dAybNY4cRzptXT0YDXqK83MwGQ0z\nHuf8ksJLliWvXbaYvUdOUt3QRJLdRjAYYt3yCtJTkhgeGWPdyiVYLeYZjTE9JYn6lnYMeh0j45MA\n+PwB+geHsVnjePmtd2hu70Sv05KalMjg8CiDw6OX7CvzBwIzFm9Koh21Wk0oFEJSSYyMjQPR5lAl\nBbnIkoTRYGDS7cZqNmM2GRkdnyDJbmPJ/DIGhkZJT0ma1SWQb7xzhL6BIeqb2yjIzsT8KfcwT5eE\neCtrly+mo6efDSuXzHY4H6qytpHX9x+mxzlAXUc3pXNsv6sgCIIgTKfPRULoSE+ZSoQUegcGeWP/\nYTp7+6luaGZwZJSzU7P87rhxE1UNTXi8PhaUFhEKhUiy22hq60RSqbDqNVR3D+Ecj1Zf1pdEl1Ka\nDVpSE23UD7dyuNdLRU4ch7sHUYDh8DA9g2MokQiNVZX4vNG5eu4aL63jjWjMVrSWeHTWRDRGM7Le\niFpvRNYZ0Ot03LplPQCvvn2AXucABr0Ow3uuTo+7ogmeoij0DwzGqkGyLGOzxjEyNs7pC7WxmYoL\ny4rIykjFYjLS3t1LXpaDdSuiSUN+dmbscbeun959UnZbPIqiEG8xx/YTDQyPkpf16ZanXm3t3b3U\nNbcBUFaYx5fvugW7zYpep6MoLxujQf+BFefZcDHOoZEx/vILd2G3RRPr5MSP13jmalpZsYC8LAcm\nowF/IIDb7UGSJA6fOsfZqjp8U8leIBgiNzOd9u5ebNY4tq5bRXJiAlazeUarxcmJCXzzgXsIhkLo\ntBp6nIO4PB4klUR9c/QizJpli0hOTCDHkY5Go2HF4vnYbVa0Gg1lhXkzFuvlJNri6RsYwmIyotNq\nZzucD7V2eQVrZzuIj+Di39VgMBTbhy0IgiAI14ppSwi/+93vcvLkSUZHR1m3bh3f/va3CU39o3vf\nffcxODjInXfeicvlQpIkfve73/H6669jNn/8CkeOI517br6BE+ermF9SiE6rpbO3H4NeF3tOgAv1\nTTRPtZhfMr+UC3WN0AQbVi6hprqGPc2N5Gcko1Kp0Kplxjx+KjsHAShIseHxR5O9vrFokqYCbGYT\nKYEIo24fK+ZlYdCq8YfCZNnjiIRDRIJ+3M5OJruaQFGmjor+T2O0oI1LQGuxsbYojZxEM6kpqcTb\n7aQk2Wnt7GJ8YpK8LAd6vY6yglwiEQWv34fRoIst9+wbeHe/S0qinaULyvj10y/hnGpLf/OmmT0l\na+vqjS3Ls1mt5Gamo1arWVxWfIUjZ15yoh2zyYjL7SESifDsa29TnJfNTRvXxBKuuWJlxXz2Hj6J\n1WLmrYPHyM3KYOV7lurOlosJqclo4It33Mzewyc4MTXnc+2KCrLSU8nNzKAgJ5OFZcXotBpkWWb9\nitmpGr232rtt43WcrqrFZDSiUqlQAdkZ6ZcsC56p5awf1bZNa5lfWkhSgm1OdJP9PKiYX4qiKJy+\nUIsj+dM32hIEQRCEz5JpO5v42c9+9qH3JyUlcfDgwav2fJvXrmDz2hVAtGFFUV4W9ngrWq0Gg16P\n1WLGYjLS3N6JLMtoNe/u7/P5A/RdbODi9lGUZmPE5cMdeDeZTLYacE64UaFiWV4qecnx+IIhStIS\nWJb/wU0xJFmNJKtR602x2y50DnKiuY8su4Vcu4RlwoNN10MkFMSgUjHeAWNKhEBI4mytE0mtITMt\nhS63j6qaWlYuXsDqpQupb2lHr9MiyzLlxfmUF+cTCIbo7nPy+PO7ouMyYGpQ/furCB3dfew+cJTU\nJDvbN69Dlq7eSMpkuw2DXofX5yeiRGjr6kWtVjPp8aD7gFhmk8Vk5OtfuptAIMjjz+/C4/VxrqaB\nDauWzrmGHReXuv722Vfo7O2nrauHkvycOTcuIT8nkzNVdWg0ajq7+xgYHiE1KZpUGQ1z6zV9Zc8B\nhkbGkCSJr9xzG3qdds69nn9KlqQZ34P7eSdLEssXlQPQ5RzCliiSQkEQBOHa8bm8vCxJErmZGbHP\n169YwukL0eHYX/vi3ahlCZPRgCRLdHT1oddpmZeXSW3lMNmJcVyYqgrq1DJL81LRqWWS44wULbOh\nm7oibzV+smWEdT0jRBSFcx2DtAxo0MgyNyzI5lTbKHq1zKbyLOp6RvD6/OhkFV6fF2m8n7FhDwC1\nxw5waN8eFElNoSMFszmeJ559mfSURG7csIZTlTUA5Gam89WdO/B6fTz9yptkpCYzryifl99+B4vJ\nRDgcZnh0jOHRMZYuKCMjNfnTvOSXiLOY+fqX7sYfCHL0TCUQHRMyMjpO4gyNmfg4vF4fZ6rqSLLb\nGB2foCAnC/0cbSoRDIWw26z0OgexWsyYDDO/t/FKchzpfOe/fIGxCRe/evIFAE5fqGF+ydWf2/hp\nWS1mhkbGMOh1nKuuQ5ZlNq5aJipv1yhJpaK2vYsF8+beagZhZvQ7nfz4pz+lpa2NSCTChrVr+Zu/\n+it27d5zW+Z3AAAgAElEQVRNdW0tP/r+92cslt/+8Y/svOOO2MXJP3/oIf7pkUeIs8zti1aCIHz2\nXBNnPSfOV8W6Xt6wbiXHz1ahANctWUh3v5PuficVBQ4K7Cb8oTAGrRpvIIQjwcLC7CQO1XdzpLEH\ns17LPSuL0cifvJo2z2HnREsfNrMeJRIhoijU9YwwPOkF4EhjLy3OaKfL+ZmJDE56CcsSSwoTGJzw\nkmm3MNzcB5EIPtc4vf39+H0h2sYG6VePwOgI3oiK+DQLWtcAbx6romtghI7uvlhDj8HhUeYVRfdC\nJcRbpyVJGxuf5MU396PVqCnIycRmjaMgJ/PKB86C1/cfobWzG5VKxTcfuAfrHK0QTUy6+M2zr+D2\neFm7vIJlC8vmbOLS0z9AV08/6SlJ9DoHr8rMzulwx42baOvqocc5yLGpixc2axzLFs6b5ciurLWz\nG1mSp7Xr7bUmL9vBhZZ27p3tQIRZoSgK3/re97jvrrv4Pz/7GeFwmL975BH++Re/oDDv0+0fDofD\nyPLHG1Xz+JNPcuu2bbGE8D//9V8/VQyCIAiXMzfPJq8y9Xv+CPf0DzIx1bK/s7c/dnvf0CjNzklk\nbYCKnBRSrEZOtznpG3Phnto76PIF8AdDaORPvuyxPDOR8sxEvIEQ5zsGiDfqsBi0dI+40KglMmzm\nWELo9ofoH4vGatCqcU546Bl1kZ8cj0oFk74AibZ4TMEwdoueN9snCKtk1hXYOVPfxLHzNaRb9XjH\nvJi0ahLGwwTGxjCZjCzPTWb9/AIMFivaaUgqztU2xPY4rl6ykNI50IzjcrRT40HUssyEy43RaECj\nnnu/Gv2Dw7g90QsHE5OuOVvFnHS5efqVN4koCoW5Wfzwm1+NzXKca9p7ejl6phKL+d1l3bPdBfej\nqKpv5tU9BwC4e/sWCnOyrnCE8FEsKivmhd17GXe5sb7nZ0KYeftPn2ffyXNX9TGvX76YjUsXXfb+\n46dOodPpuPPWW4Fo87b/57vfZdNtt/HQ175Gn9PJn33723T39HDLjTfyrb/4CwBefv11fv/UUwRD\nIRbOm8d//8EPkGWZxWvX8uAXvsDhY8fYsHYtjc3N/MtPfgLAidOn+c0TT/DLf/5n/vs//ANVtbX4\n/X62btrEQ3/5lzz+1FMMDA7y5b/8S+Lj4/n9o49y/S238Nzvf09CfDy/+cMfeP6VVwC4a8cOHrz/\nfrp7e/nzhx5iyaJFnLtwgZSkJH7xT/+EXq/n8aee4qnnn0eWZQpyc/nnf/iHq/raCoLw2Tb3znqn\nwfJF5RgNBvR6Lfb4eLr7nYRD0at1ZYV5ZDvS0Pgnaa6PdiO1Wwy0D00wOBFdplmRk4JRpyHDZsas\nvzp74AxaNasK390H9OV1ZUgqFbIkEW/SEwiFkCWJzuEJwhEFk05DKBwBQJYl3P4gzvFofHevKKZj\naAJ/MLrnsWsiiCesAo0Oi9XGfQuKMGrVqAmTnWBCCQZw1xzFrVJNDUGX0Fji0Vrt6OOT0JgsqA0m\n1HoTsu6T7fkqzsumqq4JrVaDooru65Su4j7Fq2n7prXkZWVQ39zG7194jZREO1+559Y5F29uVgZF\nedmMTUzi9nh4cfc+bli3alZGYnwYlUqFJElEwmHC4TCnKmvIcaTPajfUy9l35FR09qRzkPtvuwmD\nXkdK0tzbP+b2eKlrbiM7I40kuw2313vJfcLVcd3SRTz3+h6OnK9m25oVsx2OMMOaWluZV1JyyW1m\ns5m0lBTC4TBVNTW8+vTTGPR67nrgAdavWYPRYOCNt9/mycceQ6NW8/BPfsKrb7zBju3b8Xi9FObn\n81df+xqhUIjNt92Gx+vFaDDw+ttvc9OWLQD81298g3irlXA4zINf/zr1TU08cO+9/PaJJ/jdo4+S\nEH/pKp7qujpeePVVnvnd71AUhXsefJDlFRXExcXR0dXFzx55hP/vb/+Wv/rBD3hz3z5u27aN//jt\nb9n3yitotVomJidn7DUVBOGz4ZpICFUq1SX7l775wE7eOXY6tr+ttDCPpDgtt5Qm49dbaRscRzV1\nnE4jU5KegMUwvc1QNO+pYiZZDLxwqolRt49F2cnEm3QMjHsoTrMx4Q0AClp1NFkx6jSYdBqykyzU\n946gliWW5abgD4Vx+QKUZiRgM11M6tQYre+vKimRCOGgH+9gN67u5mg3VJUKIgqSVoc2zobOakcX\nnxhNFA1m1HoT0odU0fKyHDz01fv4zz++wEu797OgtJDtm9ZdzZfsqtFqNCwoKeT42SoAnEPD+APB\nOTNu4iKNWs1d2zZzoa6RXXsPARBvjWPjqqWzHNmlzCYjX7zjZnqdg1TWNrLn8Al0Wi0PffW+OVd5\nzc5IY3h0jIR4K7sPHGHS5eHObZvm3HiUF3fvo7O3H51Wy3233YhzcJgcR7Qb6lxdjvun6lva6Ozp\nZ/mi8jnbuCfbkUZOWjIHzlwQCeEs27h00YdW86aDoigfuJrhYn/w1StWYJtKzrZcfz1nzp9HLctU\n19Vx1wMPAODz+bDbonNKZVlm6/XXA6BWq1m7ejX7Dx5k66ZNHDh8mO899BAAb7z9Ns+8+CKhcJjB\noSFaWlspKbz87/WZ8+fZvHEjxqk95Fs2buT0+fNcv24djvR0Souje2DnlZTQ09sLQHFhIf/tb/+W\nTRs2sHnDhk/9WgmC8Pkyt87OZtB7ux3WNLRQXVtLQmgCjTFMz2h0rMTtSwuwmQ2xPYORiEIoEkGr\n/nj7AD6uSV+AUbcPgJ5RFxe6hohEIiSYDYTCEfrG3KhliduXFWLRaQhFIuw624o3EGZ9qYMEi4Fb\nKz76YGWVJKHWGUBngD85T4uEQ4R9HiYnRhhvrUG5eAygNlrQWe1orXZ0cbZ3q4r6aAv/UCjMpDta\nxRyc6uI6F72we190yHdOJka9jqL8nDmXDEL0ZKWqvonh0fFoBS4SIXUOVrMg+vtlMuhh6ifm4izK\nuWbr+lUsW1hG/9AIL7+5H4DaptY5lxCGwtHZeOFIhDf2H8E5FB0pc9sNG65qh+BPKxyJsOfQCcYn\nJ9mydiXN7V109vazqKyIF97YB0TnaN6/46ZZjvTy1i0q5/E39tHtHMSRkjTb4QgzqDAvj7f27bvk\nNpfLRb/TiSTL70sWVVOrbG7fvp2//ta33vd4Oq32kn2D27Zs4Ylnn8VqtTK/rAyzyURXTw+P/eEP\nPPf441jj4vjBww/jn5rfejkf9vf0vR3UZVnG7/cD8B8//zmnzp1j34ED/OJXv+K1Z55BPccu0AmC\nMHuuub8GYxOTNLS0k5eVwZ3bNmPU63ht32EA+ib9lExd2dNp1MQZdXgDIQZ9ARItBl483cyY28+6\nkgxKM6bvRDzeqKMsw07fmJsluckcqOvBG4hg0KoJhMLgBY0scai+m2GXj7KMBLxTIzJ6Rl2UpF+9\npXmSrEYymlEbL50PqSgKkWAA/9ggnoEulHA4WlVUFFSSTF9AIqKzsKYog+6RSVYtKMQ/MYKs0SFp\n9Ugfc3P9dAkEg9RPDXx3Do3w7QfnbjuJyrpGXp/6Wd2wailFuVkkJthmOar3CwSD/OaZl/H6/GQ7\n0li3ooK8LMecqw4CNHd08eLu/cRZTKQk2XF7vCwsLZrtsN5nx9aNVNY1kpeZwZmqOpxDw5gMhjnX\nVKi1s5szVbVA9GS5qS0693Vi0oVWqyEQCGI0zq3RI+/1+OOPc+u69fzxrQO8ceQkf37HzbMdkjCD\nVi1fzv/63/+bl3btYsf27YTDYX7y859z+/btGPR6jpw4wdj4OHqdjj3vvMP//6MfYdDr+cZf/zUP\n3n8/9oQExsbHcXs8ZKS9v9nT8iVL+H//x//gmRdf5KYbbgDA7XZjMBiwmM0MDQ9z8OhRli+Jzmg1\nGY243e73LRldVlHBDx5+mL948EEURWHP/v3849///WW/r0gkQp/TycqlS1myaBG73nwTj9crupUK\nghAzt84mZsCzu95mcGSUY2f13HnTJs5U1ZGZlozPNYE6pMORYKYwNR6bSU8wFOHZEw2EwhEKUuIZ\nm6ratQ2OT2tCqFKpWFvyboXi9qUGWgfGaB0YR6eRWVOcgVGn4a0L7QCMuP0UpSUw7vGzKHtmrmir\nVCpkrQ5Zq0PDpU04OgbH2F3dCpEIyzLiWJZsJlx/lK4GostRAUmjQ20wojZaUBvMaIxm1AbzVMKo\nRdbqkTQ6JI12WhuSaDUaKspLqWtuJTXRznOv72H5onKy0j94tuRc4fX5aWjtQKfTYTEZZzucSwSD\nIXz+QOzjBSWFlzRtmUtqGlpiI1Hu2b6FjNTkOTd/EiA+zsL6FdGTxLTkJOYV5ZOSmHBJNWAuSLTF\nxxK/rPRU+gaGcLk9pKckceuWDfQPDlGUlz3bYV7WY489xgPbtrFmcTn7T1dy/02bpirdwrVApVLx\n7//zf/Ljn/6UX/z610QiEdZfdx3f/eY32fXmmyxZtIi/+dGP6Ojq4pYbb2R+WRkA3/n61/nqt75F\nJBJBo1bzo+9//wMTQlmW2bBmDS/u2sVPf/xjAEqKiigrLubme+4hMyODioULY19/z+238+cPPURS\nYiK/f/TR2O3zSkq4Y/t27p5apnrXjh2UlZTQPbU89E+FIxG+93d/h8vlQlEUHrz/fpEMCoJwCZUy\nV9dyXUF3dzebNm1i7969OBwffXnXo088x/DoOAa9Dp1Wy9jEJJJKxc2r5vPUC7uQtTpWFqSTn2Jl\ncMLLW1XtAOQlW1GpVAxNellb7CAjwfzhT3SVHWnsobprCIC1JQ7CYYXG/hE8gRBrix3kJMXNaDwf\npm1wPJaslmcmkmo1kZUYd8m4jkg4hBIKEpn6TwmFiETCqFCBamovBwAq1EZzNHnUm9GY4lAbTMg6\nA7JWh6TVRZNIje5D9zReSSAY5H89+jgQ7TL5tS/e9clfgGmiKAqVdY0EgyH2HTlJOBIhKyONL96+\nbbZDe5+GlnbaunrpdQ7SPzhEeXEBt25ZP9thvU9bVy8vv7Ufq8WM2+tjYtLFjRuuo6K85MoHzwHd\nfU4aWjuYX1wwZ5r2uD1evD4fiQk23B4vI2PjONJS5mSn2fqWNtSyOjYSZ8OGDTz6s5/z9P6jnG9o\n4cFbbuDWDatnOUpBEARBuIJPeZHnmqsQ3n3zDdQ1t1KQk8mB42cYm5jEYjHhmxotAeCccHOipQ+V\nSkVxmo2IAsvyU7FcpQ6jn0SGzUxN9zAaWaKpf5T+MTeyJPGF60oxaOfW25ibZGV9aSZuf5ALnYNU\ndw2Rm2zlhvk5sa/xh2HSp5Bs/fBEVolEUMIhwn4fQfck7oFOlODUe3XxBFMBRYkga/VTiaMJtSku\nWnXUm6LVRq0WSaObqjxeWnVUFIXB4TGsFjPjky6S7HNvGSaAzx/AOTiCVqNGkiTCkQiSNPdOsgGK\n83MoysvmH/79MQBaOrpmOaIPlpuZznf+7At09zl5/PldADS3d87phFBRFAZHRrFazDz96lv4AwEa\nWtr5xgP3zHZoAJiMhks630amrjnuOXyChpZ21i5fzII5sCz3fG1DbAn2HTdtYtLlRmOM40x9C2pZ\nxmTQ89rhE2xft3LOdRwWBEEQhKtpbmUSMyAhPo7rpjqX3X7j9TS1dfL2wePsPnqOHJuBtNQUguEw\niqKgKAqJcUbKHYmzHDXkJFn54ppSZJXE3provpyIotA36uJQYw8mnYbti/PQz+KeosEJD5Wdg2Ta\nLZSkR/c1nmlzAuDxh5j0Bhjz+LFb9Dx7ohFfIMSinGRW5F9+sLZKklBJWiTNlZNxJRwmEgoQcI3j\nGx9CCQajexuldxPHi/3i1AYjst6ExmjhQGMv9d1DxFnM7Fi7hOyMNAKTY0hqTTR5lNVzorpx9PT5\n2P6s9SuXoJZlyosLrnDU7DhxrorqhhYKcrIYn5yc04Pe27p6qGlowZGWgt8fYMXi+bMd0od66+Bx\nzlTVYrPGoVGr8QcC6LSX/n5Muj3oddpZ3bfp8/v51VMv4vZ4KS8uoLqhGYAjpyvnREIYCLx7EbC6\noZnG1g508UmYjQYkSaIkJ4szdY2ca2hmyRyIVxAEQRCmyzWXEL6XRq3GoNfh9npRUAhHFJzjbnyh\nMGk2MwaNmqLU2a8WjXv8HGnswWrUsaownQ2lDmp6hkm1mmgdGMcXCOELhOgddZGXHH/lB5wmhxp6\nGJzw0OIcR6uWqesZJi/Zik4tU5hq47mTjQRCYXKSrPimmuAMT169GWoqWUaWDchXaBCqKMrUclU/\n3hE3XZ0dBNwBhiZHiTSG6WuXibVTnUogZZ0BWadD1hmR9UbUOj2yzoRaN1VxVKuR1NHEVVJroh9f\n5ZNx61Sr/oud7Sxm0yXdcueKcDjM3iMnAXB5PPzVV++f5YguT1EUnnttD8FQCIvJyLe/ct9sh3SJ\noZFRWjq6KS3IJc4SXabe3Re9yDI6PsGX77qFweHR2JJHgLNVdew+cBSrxcxXd942bXsiu3r76eju\nY2FZ0QfuEfX6/LEZieMTk+Q40mnv7qUkP2da4vm4lswvJRQOo5Zl1GqZxtYOAAodadxy/RpC4TBf\ne+TnvLT/iEgIBUEQhM+1aUsIf/jDH/LOO+9gt9vZtWvX++5XFIVHHnmEAwcOoNfr+clPfsK8eTNf\nRchKT6UkP4e+nm7MHi+NQxMAVOSmsCxvbjQWOdPmpGt4kq7hSbLscWTaLdiMOo409hBv0KFVy5h0\nGtLiZ3Zf45+KN+oYnPBg1Kk51dzPqCfahOeBtfPwBoLRDqlAOKKwLD+VgXEPy/Nn/jVWqVSoNO9W\nHdfPL+Bc+wAqFRzq8zM/M5Hc5Hcb5SiRCEokjBIOEfRMEJgcRQmHUMLhqe6qTHVYjR0x9UQSsk4f\nTRq1hmgiqTciaw2o9YapCqQGlRytREoaLZKsuWwiuXRBGYkJ8XT3DXDwxBkguvdxUVnxNL1Sn4ws\ny2RnpNHR00dSgo2z1fWUFeai1829UR4qlQqL2cTI2Pica3wTiUT4w4uv4/H6qG5oYfPaFdQ3t7Gg\ntJCGVi3pyYlU1jaSmBBPKBzm8edeRavVoigRAMYnXQyNjJE5DQ2SfH4/T768m1A4THt3L9s3r2N0\nfJIcR1qsmm6zxnHDulV09vSxZtlikuw2AoEgOp2Wjp4+evoHWFhadMny0pkkyzKrl0QbeCiKglaj\nYd+uFyjNyQSVCo1aze0b1/DYy7upbm6jvCB3VuIUBEEQhOk2bQnhHXfcwRe/+EW+//3vf+D9Bw8e\npL29nbfeeovKykoefvhhnn322ekK57JkWcZkNDI8PokqHEQtS0QiCmnxc+fkMMVqpKl/FI0sMTDh\nQUHhdJuTcY+fcY+fB9bOmxP7CNeXOihKs5Fg1nOyJZoQmvVaXj3XwrjbT35KPJJKxZLcFKzGuZMc\npNvMpFiN/Gp/NaAw7vVfkhBGl61KoNbwcYZlXEwkI+EQYc8EgcmRaDOdcBgikakHf38iqZJkZJ1+\nqnGOHllvRNYZUOtN2LU6BgIuwgEfKpWE3zVJyO/90ERyNtx7240MDo/w+HO7aO/upbWzm7u2bZ7t\nsD7Ql+64meqGJo6eucC//eZJ7t+xDbvNeuUDZ0Bk6uckHA7z7K63CQSDWC1mvvnlnbz01n5qG1uB\naNWwu38AgBWLyvH6AiQn2shITZ6WuFSoYolfKBzmV0+9SCAQZFXFAhLirXT29LFqyQKWLihj6YJo\nJ8b+wWE6e/rIcaTz5Mu7iUQidPc5uWf7DdMS40ex7+hJLtQ1sXLxfFZWLCDkc19y/5ZVS3hx/2Ge\neGMfj3zzK2IvoSAIgvC5NG1nkMuWLaO7u/uy9+/du5cdO3agUqlYtGgRExMTDAwMkJw8PScwH+ZC\nXSMQnUO4YUE+gxNeEsxzZynePEci6TYz1V1DnG7tB1TkJVsZ9/hJjTeh18yNmX6yJOFIiC5rXF/i\noCzdjjcQZPdUx9FQOMKNC+fmVXZZkkiOMzAw4SHFenXGOFxMJCX1xxsNcLGRTiQSJuwaR5kYnurK\nGiIUitDaO05cIEB2vAFbzznae89dfELU+ovdVw3vWdpqRK0zoJqqSL67pHX69kjKkoTFZIo1FAkE\ng1c4YvaYjAZC4QheX3SAc1N7J3bb7O8jlCSJ+3dso7m9k7LCfJ585Q0CwSBarYbTF2qjHXkBtSxT\nkJNJY1snGrWahWVFbFqzYlpj0+m0fOnO7XROVYGffGU3AL0Dgxw7ewGIViiL8rLp6OljxaL5PP3q\nmwRDIdJTk2I/b7O5NzcSiXD8bBUAx85eYNG84ncbVU3RaTTcd+P1/OKZV9h78hxbVi6ZjVAFQRAE\nYVrNWknB6XSSmvruUqbU1FScTucHJoRPP/00Tz/99CW3BQKBT/X8QyOjHD51nqyMNFZWzOf4idNk\nJRg5UNcDKHiDoUu6Ys42m0mPOja2QWGew86a4gz0GnlONDz5UwMTHt6obEerlki2Gpn0BilzTN/s\nxk8jElF4s6qdYZePJbkpVOSkzGo8sUY6AH9SSD3XPkDtaBBQUW5PwpT87qiBSxLJqYrkxWWtsaWt\nU2M9UEC5WJFEFR3fodWh1hmQ9QYkrTGaXF4c7yFrovskL9kjqYlWTj9AW1cPR06dp7QgF6vFPKe7\ndgKU5OdSWduISqXCkZLM+doGcjMzsFpmdxl2apKd1KTo780Dd95CZ3cfZ2vqeevgMdSyzO03biTZ\nbsdus1KYm4Ukyei0MzOb8L2xbV6zgu4+J+UlBQwMjeD1+dFqNew5fAIAt9vLxQlHaknmCztuoqd/\ngAWlhTMS60Xt3b3odTpSk+xIkkRZUR61ja1kpCbzr489iSk1h/6RUVLT3v23adPyxbx1/DS/evF1\nctJTKMz66GOOhM+e0uXLKSooIBwKkZeby09//OOPtQ/3t3/8IzvvuCN2zJ8/9BD/9Mgjl53792+P\nPorRaOTPvvSlj/T4L7z6Kv/4L/9CytS5UnFBAf/493/Pv/zylyxbvJjVK1bwpb/4C/7mO99hflkZ\nv3zsMb721a9+5Pg/ju7eXr72ne+w65lnpuXxBUGYObOWEH7Q+MPLJTY7d+5k586dl9x2cQ7hJ/Xm\ngWN09PRR29TKbVvWEx9ngpExZElFOKKgU8+Nqtt7Lc1LxaBVMzTp5dWzraTFm7h5cS7yHEwIW5zj\n+IMh/EFYnJ1MdlIcxhk6Uf24xr1+Oqf2jnaPuFg6R/aOfhCTTvOBH8OfJJIfg6IosT2SIb+XgGdy\nao/k1PJWLrbWmUomowcBKiS1Gkk7tbxVp48mlDojrx08z8ikB1QS37x3O7qwj4ArfMV9krPFbrPG\nxjb86qkXGRgaiS3NnCssJiPzivM5X9sARN+THEd67MTToNcTnnq/ZlpJfg5HTp+nvqWdDSuXkpKU\nQFpSIr96+iVcbg9pKUlsXruC9q7eWBMaR9rMXng5W13P7neOALDzlhs4XxtdGfLQV+7lfE0jze1d\nqFQSXc4hklKS2X3kJCPjk6xaOA+zIbrP8e//4w/8/HvfwH6FcTnCZ5dep/u/7L13nBv1nf//nBmN\nurQq2/t6d73u3caAsY0dem+BACnkl+PIJSS55JvkQi6V1EvgLpfcXbgkEEJouYQWmjEEbIqNce/2\n9t5X0qprpJnfH6PV7mIb22B7lUTPB0Ka+cx85jNaS/q8Pu/G0488AsCX/vVfeeyPf+S2W289oXNT\nqRS/e/RRrrz00szn8lf/+Z+nfIyXXnAB33xXOM7n77jjqMfe98ADJy0IU6kUkpR9c6AcOXKcPqZs\nVlZcXExfX19mu6+v74y6i3pcTtq7e7FazLyz+wC9Qz7ivjAXLpxOly/IwGiUHW0DLKw+8y6sx0KW\nRBZUFfLU1iZAo9cfIhhVcNmyJx5vjLpiF80DfkwGid2dQ2w82HXcEhNThdNipNzjoNcfxmI08Kct\nh5lV5mVmWfZZNKeXuEkkUxzqHWE0+sGs5GMIgoAgGUA6+a8DLZVCVZOoyQSpeIR4etsZH6HXH8Ju\nMnDgtWcpspnSCz4TEu4YzenMrRYko2U8btJsRUoLx0lWyXTynWNZJT8IA0MjPPfqG+Q57ESjejKk\nWDyBpmlTboFXkkme+8vrRKNxLl2zgkvOX8H2vQeor66kb3CYlvYuFs6Zwabtu9m1/zALZzdwyfkr\nzugYB0d8GZfbIZ+fc5boyVr+vxuvxhcYpay4kEMtbURiMZJTJFoDwVDm9Y59hzJZRcuKCpg3s562\nrh5eV+IkUykOt3WyKx2fadh3SHfLrSijsaObr//ifr55+0cpLci+74e/JVpf+QOtLz16SvusufAj\n1Kw98XqdSxYs4FCTXi7ln770Jfr6+4knEnzsppu48dprAVh43nl84pZbeGPTJlatWMHA4CAf/8d/\nxOVy8dB997Hmiiv440MP4XG5eOrZZ/nN73+v1ziuq+Mnd9896XodXV1858c/xufzYTabuftf/5Xa\n6uoTGuu/fPvbrF6xgos/NB6r/dOf/5xYPM5VN99M3bRp3PO97/H088/z0GOPoSSTzJ89m2/9y78g\nSdKk+/jqP/8zZpOJH/37vxOJRHC7XPzw29+mMD+fvQcOcNd3v4vFbGbRggUn/F7myJEju5kyQbhm\nzRp+//vfc9lll7Fr1y4cDscZFYQXrTqHGXU15Hvc7Np3iI6OduxGiVK3jXda+hiNxtkSijKrzIsp\nS2L0Nhzoon1olHKPnUA0TqnLjtN6/Pp8U0Gh08pHV8wiHFf4/Rt67byOoWBWCsJEUqXc42BxTRHP\n7mghpaq81diTlYIQoKnfz1AwyhuHuqjKd2A3T92/Ab3UhwTvMv6uWZzPnNEI63a18VLLKLPKvJw3\nY9zVbmLm1mQkRCIUmGyVnJhsZ5JVEgTJkHFlnZh0Z2L2Vr0MyATXVoMeO5lMpnjhtTeJxeNcsvpc\nDAaJWDzB2zv30ts/SG//IGvOWUY4EqGhtnrKxSDAwaa2TPKYjVu209bZQygcocDj4sUNm0ilUnT0\n9JxSN70AACAASURBVNE/NALAnkPNZ1wQVleUsWBWA8M+P4FgkPsff5rL155HS2c3Hd29LJozkyde\n+AsAg8M+brnm0jM6PoCzF81FURSsZjMVZcU0tXUC0D88QmtnD+ctW8Sjj/8fr27fQ0lhPlaziUgs\nzsyaSpbNbqBveASXw85PHvwDd/38N3zuI9ew6Ay7vOY4cySTSTa+9RbnnXMOAD/45jdx5eURi8W4\n/mMf48I1a3C7XESiUeprazMWuieeeYYH77sPj2tyCajG5mb+5/77efT++/G4XPgDgSOu+Y3vf5/v\nfO1rVFdWsmvvXr7zox/xu1/+8ojjnl+/nm27dgHwsZtu4rorrzzqPfy/O+/k4T/8IWPxbG5t5YX1\n63n0/vuRDQa+/aMf8ecXXuDqyy+fdB9KMslHb7+d/77nHjxuN8+/9BL//l//xQ+/9S2+9p3v8I0v\nf5llixfz45/97P2/wTly5MgqTpsg/OIXv8iWLVvw+XysXLmSO++8k2RSrz33kY98hFWrVrFhwwYu\nuOACLBYLP/jBD07XUI6KKIrUVJQBsGLZQvKkJI//8Ql+v2EnhXYTPiVBgd2EEA+DrLsHjQwNcah/\nlFK3jTKXDUTdsiLJuoVOVRIgCAiCqE9oBeGUTSgjcYWDPcMADAajfPy87C30PUY4prCna4gyt51w\nIsmSmqmNzTsWGw500j40iiiKFOdZ6fGFKHPbGRyN4I/EmVaYh5RF2QXdNhP9gTBWk5w1ixXvRhAE\nrCaZqJKuNxmKTW6fkLn1ZNGFZDp768SkO+/O3goZUamhISDQHIizpWUEQRRJDnTQPhwknlSZVVNO\nMhbBZjEzrcBBW1+Cjq4eSgrzp9x1qqTQi2wwoCSTmI1GgiE9E2ZrZy9G2UA0lcJkMnLO4vls33uA\nJXNnnfExSqLIpWtW0NjWwf89ux6AVzdtpbldF12RSBST0Ug8kZiy2plmk4kLV56d2f7Mx2/EPxrk\noT/pZZFisRhqctzq/ukbriCeUHCmy5HUVpQC8IM7P8lPHvwD3/v1w1yx6mxuvmQNJjk73eH/mqlZ\n++GTsuadKsYsaqBbCK+/6ioAHnrsMda/9hoAvf39tHd24na5kCSJi9asOW6/m995h4vXrs0IRVfe\n5EzG4UiEHbt38/l/+ZfMvmPlSjiay+iJsGnLFvYeOMD1H/sYoP+b97r1WssT76O1rY3Dzc3c9pnP\nAKCmUhTk5xMMhQgGgyxbrCdXuurSS3n9zTdPehw5cuTIPk6bILz33nvfs10QBL71rW+drsu/J+1d\nvfQPDTN/5nSMRplINIY/GCbQ1YqWVLCNNlIZG8GeCNDSvgzPFXdgM8k89vAjBCQ7oqZyVs8rGLQk\nRUvOp/76fwLgrW/emrFijFFyziXUXvlJUkqczd/+hC4QBTH9LFC28ioq116HEgqw/d+/OElQCoJA\n+fnXULL8IoSwD/HQm4wYXMhJHz/f8zb5xhQXnTUfz4xFJGNhAs37MDrcyE4XRrvrpLNbnmo2HupK\nx+YJ3HzODByW7LFmdg4H2XCgk3yHhdSEv1mBw4LJIDG3Mp+ntjahahoDo/mcO71sCkc7GY/NTIHT\nyrnTS5GzMM5D1TQ2NfYQjCZYUF2ILxRj0SlcDBBECUGUMnUkTxRN0ygyhpE7AnpBciVCKDgKmoav\nqxVHIomUGuXtF55kc4cf0BjYvoGF00owWB3INieyzYnBYstYJ0WjWX8+jTGR+R43n/n4jSSTSSwW\nM/7RIL5AkFg8jt1mY8m8WSydPxuzycTKsxadtnGcCMUF+dhtVsKRKDNqqxkYGiYYjlBWUsQVF6ym\nb3CI6TVVUzrGMRw2KyajTJ7DTiAYwmG3E/MPsKB+GssXzcVkNGIyHvlvrLQgnx99/h/43Z9f4s8b\nNrFlzwE+efUlLJ2dXfVAc7w/JsYQjvH21q28tWULjz/wABazmY/efjvxuO4ibTIaT2jRSIMjsthO\naldVnHb7Edc+lWiaxjWXX86XPvvZI9om3ocG1E+bxuMPPDDpmNFgMCu8JnLkyHHqya7MDmcA/2iQ\nR59+AVXT6B0YIhgK09HTx8zyQspLi0E0YDdU0xIGl1FDyHey4Z1GjAYJ57TZKHENWdComX8rBkHD\nWjTuBld10UdA09BUDTQVTdNwVOouRYIgUrbiMv1HQVPTx2jYy/QyDIJBxjt3uX6+poKqoWkaJlcB\nAJIss9KjkFIH2JQsJqYa6FQU/OEYHiDS38WBh34y6V4NVjvTb/gsnpmLiQx20//OXzA63BidbmS7\nC6PThdldeNqEozH942KQBCQpu35E9nQOEY4rhOMKa2dXYpUNuGxmtjT3AqCk1EzJhLgyNTFPR8MX\njvFWYw8A21oHuHRB9pXx6BoOsrdzCACz0ZA1pUYEQaAgz87NK2aRSmkkVZWwJpFIqrisJrq7hiAJ\nTlXPuApgyctDMMgokVHio8NoioKqpjIlH3Q0RNmEbLVhsDqRbQ5kq1N3ZTWa9AyuJguSbHpf8Y+x\neJyDTa2UFhfidNi54bILaOno4rFn1gFQ6HVjNo3HEbd19fDW1l3UVVewbMGcD/SenSwOm5VPf/QG\nXbyazUyfVsmIf5TSIr3URLbUdxzDIEnccs2lhCIRHn3qRUzOfAZ8fjzOo2eEHMMky/zDtZexfO5M\nfvXk8/zw/kdZNKOOWy77EDWl2ZuUKsf7IxgKked0YjGbaW5rY+fevcc81ma1Eg6Hj3AZPXvpUj77\n5S/ziZtvxp12GZ1oJbTb7ZSXlfHCyy9zyYc+hKZpHGpsZMb06R9o7Ia0d4FsMHD2smX805e+xCdu\nvhmvx4M/ECAciVBWMjmUo6aqihGfjx27d7Nw3jyUZJK29nbqa2ux2+1s3bmTJQsW8OcXXvhAY8uR\nI0f28HcnCDVNy4QmKYpCR4+e2KZ7cJiFDdMwON3sah/EJMeIAmGLAyJBEskUa5YvJRRXKHFZ8dgt\nR/RdsfqaY15XNMhUX3LsTGUGs5W6q//hmO1Gh5uGmz6vj7tjkM2NPRQ4rZimFfPq/k6q3V4WfPZH\nJIL+9MNHIujD5MoHIDbUR89bL6AlJ9eDm3v7t8mbNpuRg9voevVJZKdbF40ON0aHC++spRisdtSk\nkrbMnPiEduXMctw2Ey2Dfra19HPu9DJEMTuEYV2Ri66RIC6ribeb+gjFE5S5HYiCgKpplLht1Be7\nGQlFmV+VPYmFzLIBo0EikUxhkAT2dg5RW+TCYsyej3Ke1YQsSSipFEoyxUNv7KfC62DVjPKsWF22\nGmXaBgOs292OKApctbhWn3z16jF486sKqC92k0ylqC1yIQhCRiAeCzWVRE0qxP2DRId6UJNKJhOr\nXuZDfy2ZLBisduS0xdFgc+iZWY0mRKOZJBLDoyFKiwoyq/XPvvI6h1vaMRgMrFy2kI1vb6ekqACz\nyUQsHqeyrJhINIYvoAuvlzZuYmjET1tXD3Ma6s64i6ZsMCCnLaYWs5myYv36CUUhnlBw2E5Nnc8P\niqIk+e0fn2Fw2Mfac5chiiKqkiAVi5xwH3Prp3Hvlz7Nc6+/zf+t38CX7vkl58yfzU0Xraa8qOA0\njj7HmWTlOefw2BNPcMVNN1FTVcWCOcdeaPnwNdfwD5/7HAX5+Tx0332Z/fW1tdzxyU/y0dtvR5Qk\nZjU08KNvf3vSuT+5+26+/aMf8T+/+Q3JZJJLL7zwAwvCD19zDVfedBOzZszgnu99jy98+tN88rOf\nRVVVZIOBb371q0cIQqMs858//jHf++lPCYZCpFIpPv6Rj1BfW8sPv/WtTFKZFcuXf6Cx5ciRI3sQ\ntKPVf/grYKzsxCuvvEJ5+cnVhWrt7KZvYJiFcxrYtG03h1raKbKb2Lp1K5LRREOJh5FwjEqvg/pi\nN2839+K2mVmaReUIEskUsiTyyFsHCcUSiKLIJ1fNfs9YN03TSEXDabGoi0b39IXINgcjh3bQveHp\nzP6xSdHiL/8ci7eYrg1P07buEYz2PN0t1eHC6HBTc9lHMZhtRId6USLBjJAcszq+dqCTQz36RPuS\n+TVU5mdPuvaUqqKkVB7cuB/QcNvMFDqtRBNJLphbNaHuY/agaRq9/jBxJcWr+ztQUiqlbjtXLKqd\n6qFlSKkqu9oHEEWJpn4fw8EoADefOxPHFCbAmciW5l52tA0AsLyuhHyHFY/NjCgKiCK8vLeDcEzh\n/NkVeI+y+PN+0DRNrxOZTKAqCmpSSS/Q6KJRUzWe2teHP5ZkWqGLixc3YLDaeX5nK51DASTJgCvP\ngS8UQRBEbrj8QsKRKNOnVfHrx54kHIly1oI5xOIJdh04jNft4lM3XX1aYiAb2zrwB4IsmN2QEX/v\nRTAc4f7HniIcjXL52vOYN3M6mqax91AzBklkZv20Uz7G49E/NMxvHnsKgIrSYoryPXzv61/hC9NU\nhCu+TAKJi89dSl46hvB4hCJRntnwFs9u3ExCSbJ83kyuWn0u9ZXZ426eI0eOHDn+RjlGrdMTJXvM\nCmeQmooyairKiMZiJJQk82bWIyfCbE23FzgtrJ5VkTk+mwrUAwwFo7ywqxVZEjHJEqEY2E0y4nGs\nL4IgYLDaMVjtWIsqJrV5GhbiaViY2U4l4ihBf8bC6KiaTvmqq0iM+lFCfhKBEUJdzdReqdc36nnr\nBXrfGncfMVhsGJ0eCm+4i0OAFg4Q27uBQZcb2eHG6NQFpcE8ddYCSRSRRJFzG0po7g+Q77BkXB33\ndQ8zvzL7Vvhf2ddBc7+fYpcNNb2Uk1I1/OE4gqBb56aCRDLFwGiEQqeVPZ1DbG3pB3RL7HAwSonL\nji2L6lDOqcjHH4kjCgI7OwaJJZJML/Fw/qwKWgYCmbqUezuHWTXz1BQiFwQhk+2UoxjtkimVoDqE\nKEsMRRK8sa+ZcCzB7AIbCmEkBPKVOAPDAQpsRh598LcoiEwr9jAyEkaUDLQ3N+Jx5+Gymrj4nIWQ\nVNBE8ZRaZnv6BzOJY0aDIZYtnKvHPznsk47TNI0/v7yRju5eZtbXEI7qCwOtnT3MmzmdHfsOZeoC\nIgjMrDuzrsWFXg9zG+ro6hvA7XSwdfd+7CU17BttYui5P+GunYsnz8EFyxefUH92q4WbL1nLZect\n588bNvHiW+/w1q79zKmt5uo157KwoS4rLOQ5cuTIkSPHu/m7FIRjvPHOTrbt0UsiXL58LudUufEL\nZso89uOceeZRNY2tLX3ElBSioGcdBTi7vhRnTRFFebZTOtmQjCYk73gikLzqmeRVzzzm8WXnXoZ7\n+nzdwjjqRwn5aIoY6Gjspdhlo6r3VQbeepOBCefIDhdnff1XALS9+AjR4d6MhdHocGP2FJI3Tc+m\nerrqwcWVFLvahwjFEljk8Y+D3ZQ94mUiXSN6LbX+QITzGkrpD0QozLPx+OZDCAJcvnAape4z/+/3\nuR0tDIxGKHBaqZpgBa4pdLGioQyTbGAoGKVjeJS6IhdOy9TWzrQaZS6cW50ui3IAgJFQlLcO9xBT\nkpiNBhJKiqr8D7bidjIYJJHVs8ppGQjgsZnZ2a5/WgwmK90x0DQVg83Ex9YsZCQU45ltTQiaRjwW\nY2GRhf5AhILYAJu3NAIa6/3drJ7mAQQMFiuS2YZsdWRcVvVSHUY9MY5sQpRNJ50cZ8Q/yn89+DgA\nN115EXlpUejOczLsD7D3kF7DraO7jzkNdfgCoxTmu3lq3auYJiwQpKagNqEgCFxxwSoAdu47xO6D\njYgGmWVX3s6LL73I0P4tBCKN+ArNuKedeFbnPLuNWy/7ENetPY/1b2/jzxs2871fPUxVSSFXrT6X\nFQvnYMjCZFA5cuTIkePvl79rQTg2eREEAYfNij+qcMgfoaU/wE1nN2DNIlHQOhDIuLhNK9RjxowG\niWmFeVNah24Ms7cIs3dyJsltmw+hhmP0+cOsvf6fMF/7qQnuqn40dXwSmIpFiPR14D+8i1RctyTY\ny6ax4M4fA7D7f75O3D+M0akLRtnhwlFRT/HStQCE+zowmK3IDhfiSRRYD8YShGJ6au9ESuWqxXWo\nmjYloup4DIxGqM53MhyK4raZ2XhQTy6jqBqgoWkwEo5Nydj9kXjm+YqKfEwGieFQlPV72rGbZa5e\nUsezO1qIK0ma+vx8eHl2ZGS0mWRWziijaySE1WhgT+cgAGfVljCr3IvRcGYn7g0lHt1lPRRjT+cQ\nKVXFbRsXz9FEkkfePIiSUmko9ZJMqSysLsBjs7CjfYBIIonFqpBIpqgsK8ZSkK+7qiYV1GSc6EgY\ndSCBlkyCpoKQdovWs10hyiYMFisGsw2DzYlstWMw29IZVY1IRjNFbifXXbqWwKgeW9TY1gHAzn2H\nOdDUggDcdNXFlBcXUVpUQE//IAVeNwICq85azGN/XoeqqjgdNi5ceTaSJDJ7+ul1efYFRtl9sJHa\nynLKS/Tvqc3bd7Nj3yEWz53J0vmzMRgk/vLsE6xeexF+yUHXzo0o7zzGS68/rH/XLFxJ0cJVFMw5\nG6Pt+K7vFrOJK1edwyXnLuONnXt56tU3+c9Hn+SRF17hipVn86GzFmExT+3CSI4cOXLkyAF/54Jw\n2YI52K1W3ty2k43b9xGM6lY3JZUipqSyShA6LEYEQdAtZehugm6bOavG+G5ml3vZ3NRLmceOzSQj\nCMajuqsC1F79qczrMXdVNTWeAMc7+ywiA90oQR9x/xDBziaS4VBGEO799XdRQnqhX4PNgdHhJn/u\n2VSuvR6A3s3rMFjsmSyrRocLyWTBazczt6KAvkAYgyjQMhBgaW32xIqOMRKK8tTWJjRNY1FNEUZJ\nohEfAF67BUkQEEWBhhL3lIxv7ZxKDvX4SKZU7t+wl5rCvLQLs0YolmA4GM3k5cw2t7lyj4OhYDTt\ngquP2W03n3ExOBGP3cyNyxuIKUkKnFaK8my0DQWwmWR6fLqVOBxP0OsL0zUSZE5FPttbdTfdxdVF\n1Je4M+7DgiAgyMYTKtOhpVKoyQSJUICYfxAtma7vKIwlxwHQkBAotNpJGUyUmVIIsgmzEkSJhhFE\nkf37D7B1x25m1lVzy9WX8rMHHiGRUGhs6yDPYccXGMWd52RmXQ0266mJ0XwvnnzxVfoGh9iyYy9f\n+NQtyAYDr23ehqqqbNi8jcqyEl7auAmTq4A3dx+guX8ISmZR+uVHKOzbwcD2V2lZ9wiNz/wGAHtJ\nNe7aebhq5+Cum4e7dg5m19FdzGWDgfOXLGD14vlsP9jIU6++yQPPrOMP6zdw6YplXLbirEytwxw5\ncuTIkWMq+LsWhACjoRCDwz6S8Si1Fhm310GBw4rHPjXFk49FodPKVYtrGY0m2Nc1TCKZom0wwGgk\ngcuWnavMM0u9NPX7aR8cZUf7AIuqT6wW3bvdVQHKV111xHET8yHVX/9pEoGRCRlW/Yiy/r6oSYXm\np359xPllK6+g5tKPsbwmn5cef579YgmiJKG072NWkQ17aQ2W/BI0NUVKSSAZzVMmZuJKKnO//nAc\nm9lAscuGx2ZmboV3yusRVnqdVHqdPPym7n7ZOhDgikXT8IXjmAwSW1r6sJpkZpd7aSjxTOlY383r\nh7roHA4CAhfMrcRhNlLgnPpMmA6LMVO7sy8QZm/nEGajgeoCJ4mkis0oo2oaiWSKSDyZOS/PZnrf\nsaSCJCFJFqTjnK6pKloqiZBUWFlhQ00pBENdlAh6rGPjts0MhOPseBuMzVUI/mFisRR5njwuXjAf\nX7yITXubufeX93Pekvmcu2SBnmn1NJXAGUsQJYoib23dhSSKTK+p5GBzGw211TS2thOLJxBEiZii\nIIoimqaRECSe9jnxLvwot3z1VwSbdjJ8cCu+5r2MNO2k841nMteweItx187FVTsXd/phLRzPrCsI\nAotnTmfxzOk0dnTx5F/e5P/Wb+SZDZu4cPlirlx9Dt687Em6lSNHjhw5/n74uxeEFaXFGAwGhKTE\naDxJX8CHnIXZJeNKkvV72gnHFUrddkRBoMRtx2HJXgthJKHQ5w8D0NIfyAhCJZViJBQj32F5z6yo\nx2OiOPPMOHbiB0EycNY37s+U4kiM+lGCPuzluptaMhaGoQ4SRgOaquI/sI1DsQGqL/0o5SuvJDYy\nwLaffg5BkjBY7Jk4rPLVV+OZsZj46AgD2zbosVkWeyZxj9lbjMF0aqwfJW47580oZzSaoM8fpmXA\njygIXDC3asrF4ETmVRawva2fAoeFdbvbMcsGCpyWTKbZuRX5GZGTLYxZ2Q2SQDCqIAoC2ZZOqC+g\nf45iiSRmWaZtcBiP3UJRng2zLHF2fQn1xS5UTaPcc/rjHgVRRBDHrY5dI0FeaOxDlkSuWVLHns4h\nhruGMMkS7/SGSKoq80ocdI4E+PVT62nIt9IzEAIBdr65gfKRg4CGIEpIZmvabdWKwWLHYHFgMFsQ\n01ZOUTalYx6NJ1wG57pLP8SBplaCoTBvbt0JwHnLFjHs89PdN8CMumq87jxUJcHi6bUEonFkg8Rw\nYBRV0xj0BRgKRalccB5FC87L9JsI+vG17MXfvBdf8258zXvp3foKmqoCerkgd+2ccWti7VzspdOo\nryznK5+4kc6+AZ589U2ee+NtXnhzC6uXLOD6D62k0OM66n3kyJEjR44cp4O/e0FYVlzI5267iXB/\nFz/71UMgGznQPcK507MrVfhoNEE4nUhGFAQuXVCD227+QILqdNEyEOBw7wgzSj3MLPPSORxkXmU+\nw6EoLquJp7c1MxyMUpXvPCNFywVB0IuF2xzYiiuPaO+JiQwsvok6k4FzaovIl69BiYaQrfrE2mC2\nUn3JrSSjIZRIkGQkRDISysRfxYb6aF/3yBH9zrj1/5E/5yz8TXs4/PjPM0JxTFSWrbwSa2EZMd8g\noa5mDFaHHrOVfkjyZDNNcZ6VPIuJQDpeTxSF42aWPdPMrchnbkU+bx7upnNYr99Zme9AFEVkSaTE\nlX2ucec1lFHpddLjC7G5SY/LvGzhtDMirE6UZdOKUVWNQqeVjuEgoLsR33LuzEwM8VTGvXYOB1FV\nlbiq0jIQwGo0sKKhDLNs4OW97QAMxVR8cQ1JNjKcNDC/rpzukRBn1Zdg8eqWMU1VUVMKqXgMJRJC\nS3br5TlUFUEQx91WBQ00EI1mDGaLHvOY/mxJZisGo1kXj0YTosGIxWhiybxZHGxuzYzZFxhlcMQP\nQHNbF0UFXlJKnH2tHbR29wKwaEYdDpuVQreL0gLvEfdtdLgomr+CovkrMvuSsQj+tv26SGzSReLh\np3+FmtRjlQ1mK3k1s3HXzSWvaiY3zprGNctu5MWdTby8ZQevbd3FJecu5bq15+VcSXPkyJEjxxnh\n714QAmzdvZ8D+/dT4jQxlBCZXX7kD/9Uk++wMK+ygIHRCIIAz+5owWKUuenshimNdToar+7vIJlS\n6fWHuW2VXsD32e3NdO/vpMxjZyQUA2AwXZ9uqtnXNUw0oRBNKBhkGaPTitE5Hosn2/OO6rI6Rt60\nWZx99+9JRsMk04JRiYRwVNYDYLDacc9YRDISRImEiA33EepqovisDwEQaN5L4x//+4h+F3zu37CX\n1jC0ZxOHNm3gbdN0NMnAbFuCmRYzM+afg1k2kAj6URNxZLsTcQrdWidSX+ymZSCAKAh47WZuPXcG\nsiRlZW1HSRSZVpiHLxzL7FPV7CrPWuC0ZmpNeuxmNjf1UuF1YMuSGOJZZV56/WFMBonDfSP4w3GM\nBokbl0/HaTEyGlWYXuLGbTPTMTzKoupC6oqPjHcVRBFJNIF8fJfXsbqOWiqpxzwGhtCSih7zqPc2\nKe5RECXMZitrKyyIJgvePI3DaoKkqhH2D3GgrRvZYicQCKBpKpIoke/OI5FMMrOm6oQzgxrMVvJn\nLCF/xpLMvpSSYLSzEV/Tbvwte/A176Vt/WMk0/VeATwWGx8vqmYQK61/fIt/e/Y3LFmyjOXLz8bq\nLcbsLkS2OrLi850jR44cOf62OK2CcOPGjXz/+99HVVVuuOEGbr/99knt3d3d3HXXXYyMjOByufjJ\nT35CcfGZTegRDEfY+PZ2kvEo1kSKT66ed0avf6IIgsD0EjczSj28frAbgGhCIaYks04Qeu0W+gNh\nHBYjr+3vxG0z0xfQJz4Do1FWz6ygqd/HnIr8KR6pTn2xm25fCKfFSCASx/s+LK9S2o3N5DwyPs5e\nWkP9dXcc81zvnLOwldaQjIbS1scgSjSUqQGJBjFNIpmIoaZSdPe2Y1IiVMzR3WR7N71I51/+BIBo\nkJFtTmR7HnP/8TtIRjMjB7cR7uvQ99vykO1OZJsTs6fotE0uC51WblzewKNvHWTDgS7qi92smX2k\ndTZb6A+E6Q+EKfc4qC92U5mfvbFc9cVu6o8ipqaSPKuJa5fqCyB/2nI4s/+VfZ0EownOri9JZ1AF\nODXeF2N1HTHIx415BNDUFIqSYCgwjM0Qwpsa5apKA5qm0RPoIDY8RCoRp2jkMJUuI5Io8Pxzfyas\nqGzbvInbllRhkGUEgwHRYEKUZERZRjQYEAy6JVKUDQiihCBKiJIBQRIRBH3bVlCGvbiSypVXIYgS\nCCLRkT5C3S0Eu5szD7WrCYu/Fy2VJN69kQ1Pj9+DKJswuwsxuwuwuAsxpZ/NmUcBZlcBZnfhlNZ4\nzZEjR44cf12cNkGYSqX47ne/ywMPPEBRURHXX389a9asoa6uLnPMj3/8Y66++mquueYaNm3axD33\n3MNPfvKT0zWko2I1myjwuuntiWIzSmxv66eh2IPNnB0r72O0DQZYt7sdQUB3xTJKlLrsU17P7Whc\ntrCGoWCMPR2DHOrVY8cWVBXQH4gys8xDfbGb6VOUDfNoTC9xU+G189imQ/xlXwddI3qB8jOFwWzF\nXlp9zPb8eWezZu5y3O0DhGMKw8Eovf4QLx8e5JbCfPLnnY3ZU4QSHkUJB1BCoyiRUCapzsiBbfS9\nvX5Sn6Js4py7fw9Ay59/S6B1f0YoyjYnJlcBZSsuAyA6pLvPyXYnksl6wiJSSarEFN1aE4opJxLF\nIgAAIABJREFUxzl6annjUDdDwSggcP7sM/e3fz/0+EJsbe2nwuNgYXXhVA/nCC6cV01zvx+nxcj6\nPbq7aMvAKPMqp3asgiixo9PPzvZhQP+e6g+lsJtlGurLsBcUseHlFyguvoSXWwdIaSp2u41YKIbD\nLCPJRlRNhXicZDSKpqbQNBVUVU+yo+kPEPSMuhM/J9oRLzJbkmRANtnIn76IwlnL9LhMQSKViLOz\nuZ3XduxFiwY5p9JDpV0iEfQRD/oIdjczuH8LiaAPtCMt2gaLHbO7MCMczRPFY1o0mj2FmPLykU4g\nA22OHDly5Pjb5T0FYTwe59VXX2Xr1q0MDAxgNpupr69n9erV1NfXv2fHu3fvpqqqiooKfXJ12WWX\n8corr0wShM3Nzdx1110ALF++nM985jMf9H5OGkmS+MQNV9LZeIAHH/0Tvc19dA4HuWpx3fFPPoP4\nwnHGas35QjESSZXEFBRzPhFkSaLEZaNrOEjrYABJFNE0gTKPnZqCvKke3lFJpjQSST0RxFhdwmxC\nEIRMUp4Xd7UiimImhtBcXIWtuOqY59Zdczs1l31MF4ph/ZFKjLtHmlxejE43SniU6GAPSngUo9OT\nEYRNT9xHoGWfPg7JgGxz4KhqYOYtXwKg583nSSVikyyQxjwPNlcB588qp2M4yOKaE8swO1V47BaG\nglGsJgObDvciigLnTi/NOus7wFuNPfqigC/E9BJ31riNjuEwG1lQVYiqaVQX5NHjCzGrLEvc8Cdo\ntD0dw3QMjwIQjSd5p6UPR/l03ukepiudDGt+uYelVQUUOsxI8qlfP9U0DTQVTdX0+ElNRY2lxaaq\nMqfMy7T8c3h4Tx+PDEdYarFx7YL5GESBMZdYLZVCiYZJRoMoYd27QImMokSCKJEgUd8AwZ4WlEgw\nU+P13chWvVSPyenBlJePyeXFlJeP2ZU/bnV0FWLK8+oWUVFCkKSMNTSznXNnzZEjR46/So75C/fz\nn/+cV199lWXLljF//ny8Xi/xeJy2tjbuuece4vE4X/3qV5kxY8ZRz+/v75/k/llUVMTu3bsnHTNj\nxgzWrVvHxz/+cdavX084HMbn8+F2T7YePf744zz++OOT9iUSp27S3tXbz+BIILMtkH0/arPKvASi\ncSRBYGA0wsBohO6RILWFrvedYv50s2RaESVuG4OjUbY061YmSRRYUJV9Vo1QXKHCY8coSyydln11\nCCdy/qxKdrYPUJXvwHyCk1TJaEbymDF7jnzvy867grLzrpi0T02OW/QqL7yR2PCAbn0Mj6KERjE6\nxrMg9m97jXBP66TzXfXzmHnb19nbNUzT7u2Mvt5Fgzmu14F0uLBX1OOdpcdYxUYGdOuj8cyXejnQ\nPcyWlj4qvQ6uXFxH90iQbel6fh6bmflV2ZZvFIrzbAwHo+RZTZjl7BOsY4iCwEXzqvXaqVkiFJbU\nFGEzytjNMoPBaFoQCvgiMVRNQxBFRARkSUTVoMptpzTv9LleCoIAgjSWn+qomIB/Or+A5/d18eKB\nbkSjhVuX1p7wezpRdKaUuF6aJ6Q/lNAoibRXQSIySjzoI9zfgRIJTvoOmDBgZIsd2ZaH0TbuUWBM\nLwYZ7S5MeR5kqxPRYEA0pF1qJRlRkhEkKe1ia0Q0yAiSYVxgThCVmW1B1N1u09uI4gQRKmbNv6sc\nOXLk+GvnmLPJuXPncueddx617bbbbmN4eJienp5jdqwdxYXl3V/eX/nKV7j77rt58sknWbJkCUVF\nRRgMRw7pxhtv5MYbb5y0r6uri7Vr1x7z+idKe3cvjz79ol6H0Gslv6CQ+uLsS/ltkAQsRgOplEaB\n08LAaAS72YjVlL15gQRBoCjPSniCu+CJCpgzSTSR5NkdLaiqSmW+M2sF9hjb2/rZ3TFI62CA65dN\nPy2JWibWg8urnkle9cxjHrvwc/+GqiQy1kclFEA0mQnHFQZHIxjMVoalYhKjuwj3tJEI+SlctBrv\nrCVomsa2ez6HlkohGc3IDhdGh4uChSspOesCNFWlf9trGJ1ujHa9TbY5EU5RqY1dHYPEEkkO9/qY\nV1GA0TBu5ci2WqRjnDu9lJllHpwWY1ZmGR4jpao8t7OVPn+YFQ1lWWEllEQxE7tc6XXitBgJxxSs\nJpmYkuKtkJ8l5R6WTitEA0xZYiEWBYHL51QgCPDC/m6mF+ZxVvWJLVZMFJ2iwYBssWErfO84Tk3T\nSCViKKEAiVAgLRrTr0N+EkE/8aCPUH87yWj4yPEajBjtech2F0Z7HkZ7nm59dHgw5nkw2vIQRQkN\nbbKb7cTF2ExCoIk3o3vJjDWJgoRgGIvXnCBABQlRlnUhatDb9NdGXZRKEyycY6JT0OM69ddjFlhh\nfN6S3jdpWxD0kU/YN/Hc8fdfyInXHDlyZDXHnJ2vXr0a0N1GTabJE+SRkRG8Xi9e77F/4IuLi+nr\n68ts9/f3U1g42TpRVFTEL37xCwDC4TAvvfQSDseZTfWeUMbFikkSmVuZn3Wp/AEa+/zsbBsAYGlt\nMdcurcdpMWVVDbp3E0ko/GlLI5G4wswyL5VeJ9UF2ZmsY+wvriRTbGrsId9hybrEHWP0pt3ZApE4\n0UQyK+r6ibIRkyt/PBEO+qRyZpmXbouJ5XUl1BTeou9XU6jJdCF1VaXu2jtQgv6M5UIJ+tFSersS\nCdL0p/+ZfDFBoPriWyhfdRVKeJTW536H0enWJ59pQWktqkC2Hf/fWkOJhy3NfRS7rDy9rQklpTKr\nzMu8yoKsXRgQBAGv/dTUtzydjEYT9PpCABzu9WWFIJyIKAqYZQOv7e8EYOWMcsK9rboIzBIh+G4u\nmVXO/l4/Lx7oZllV/mkTGYIgYDBZMJgsWLzv7TGRUhK6SBzVYxsTQX+m5uuYxXGkcSTzmR7D6HCl\nXVELMm6pJlcBVm8xsj3vhO5Nj93U9DhOTUVNJTNlSjRNTVtG1fFYTw3Q1DE1mY69FCaLz6MK0bEL\nTrr6Efu19Hs3OaZT71Ab60YQM+JXEAW9fNEEYTm2b1xYMm4NFUQyQlVEL8WS7nP8agKkF4rG28cW\n5NPbmfb0SMTJ/WT07bv2jz+PiV1x8nGkRfO7+s+IZ3GCgB4TyROF9iSRzWSBzdGOnziWie8b79Gv\nMLnfCePIifYcf88c11xz/fXXc/fdd7NgwQIA1q1bx7333su6deve87y5c+fS1tZGZ2cnRUVFPPfc\nc9xzzz2TjhnLLiqKIv/7v//Ldddd9wFu5f1RX13JxavPpbO1mZ1b3+Hg+m1cPL0Aj03Wv7Q19JXE\n9CqjKE54LZ05a5fdLDP2wzISirG1pZ8Sl41LF9ScNitBXEkSjCnkO97f5NMXihNJ105MJFNHiEFN\n04gkkliNhin7Io4mkuzuGGRuRT5m2UCPL8TujkFAz5aajVai5XUlbG3pp8xjzwoxeCwEQcBu1t3z\nzMbxz4ogSkhGfcItSBJFi1cfsw/ZamfJV/4rM+FU0tYJR4Uew6xEggSa95II+SeUG4C66z5N8dI1\nhLpbOPD7n2ZcVXULpJuC+ediyS9hXomDGS4RvyrzzI42AKJKMmvF4F8TeVYTNYV59PjCzMnCUj4A\ncSV11NfZiigILKnM50+72gnFkziyIPmZJBuxpJPXHAtNU0kE/cT8Q8T8g8R8A/pr3yCB9oMM7NnE\nRLUlmSxYvSVY8kuw5qefvaWYPYWTfncFMS2usnhhdCK6++7YfWpj/401TnrWMo1a5lxNS6XbJyjQ\nicePHz7hGO1du7V3tY89ae9qn3z8Ef0fs593XX9CPxoagqb/1mvCJHtwmqPMA94txo+3fdR9E8zK\n6afJV5rQOEGwjwvpMSGp7x8XwhPbhMnnHSGKJ4j5jNYfOzd97NioRHFCG5NE8XjbWLdiRvzq15uw\nP3Pdic/HEfPChOtOuLfx+52wP/P2TRDlEwfBsfZPfp25b+EobZPmhsK7nt/VLrxH+6Rujnb+e9zP\ne93TxDZhwvtzrLaj3c97XO9Mzo2Pq2h++tOfctddd7Fs2TIGBgbw+/08+OCDx+/YYOCb3/wmn/rU\np0ilUlx33XXU19fzs5/9jDlz5rB27Vq2bNnCvffeiyAILFmyhG9961un5KZOlkVzZpBMJtnT2g2q\nRrh0BvPm1qMqCqqSIBmPkIyGScWjpOJRkrEIyUgYVYmPrzTC5C9KUdDTk0vj4lEYe5zEH3gkFGMk\nFKWmMI9rl9aRUjU2N/XqqdJ9IYJRBZft1E9e40qKP7x9mEhcYUFVIWfVlRz3nKY+H5uaeilz2zl/\nVgUlLhv1xW6GgtFM3ODWlj5aBgIsqi6kYzhIY5+PCq+DSxdMO2qfpzv+aFNjD419PgCuWzad0ehY\n0Xe9kHo2Uuq2c+XiqStCfqIEowneada9BDY39nDN0vdORHU0BFHC7Ck8auwjgLWgjKVf+yWappGM\nhDIWRktBKaC7vjqrZpAI+YkO9hBo3U8yEsJRUY8lvwRf4272PfzvdDtqUO3FWGQDjiYf4cKPYyuq\nINTTRqB5DwarE9lmR7Y6MdgcmFz5Z3RB6K8RURC4cG71VA/jPakvdhFTkvjCMXa0D5BXMwd/NIHL\nmL1/23hSF66SeOYmCh8UQRB1l1Gnh7zK6Ue0q0mFeGCYmG+QyEgf0aFeIkO9+Fv3M7D7zQkdiVg8\nhVi8ulC05pdiK6rEWlj2gT6Pa+/8BjWl44mvvnf7LRR7j+0h8vt1r3HrRatP+jrjFq4J+45yXGNn\nD09tfJsv33INv33uFSwmEzd+aEWm/aZv/pT7vvJp8uy2kx7DF/7j13z6mktoqDo15V9OBS9u3s6h\njm4+/+EreHLDZsxGmUvOXjwlYzmaaE+/Gjvg3Sek2zWOJsY1LS2lM2J+cr/vKehPQMwfU8i/V98n\nK+aP0pcwpujHzj2K7jo6wlFfHu2SR+3sRI9DOPI9Odbg3qvs8ImOIbOgcOzjMmsYR3gRvPuCk//u\nmS4zCwcT/j/2OyCI1Nzwj8fo88Q47jdoQ0MDn/70p/nyl7+MzWbj4YcfPuFagatWrWLVqlWT9n3+\n85/PvL744ou5+OKLT3LIp54R/yhKMonX7UYURRYsXIDFdfxsmJqqoiYV1GQCVUk/UknURJxUIk4y\nFiYZi5CKRUjFIyjhIGoirq+STXBT0bfRV44miMdoSuOJra0kVZhR5mH1TD1j6+xyL/5InKI8K68f\n6iIUU1gzu4KivJP/cTgWkYSSse51jYQY2tmCRTawckb5MWPWdnUMEYkrNPb5WDKtCJtJZjgUwxeO\n0djnw2kxZhJ2bGnpQ0ln9ewcDqFqGqIgEFeStA2NUuKy0zkc5K3D3ZR67FwyrwbxNEyATOmkHKIg\nsKt9kL5AiIYSD3Mq8rPW+tbc72dTYw/lHgerZpZnrZuL2WjAaTExGo2f0n+bR0MQBGSbA9nmgKLx\nshHWogoabvrcpGPVpJKZlNlLa4ie/ykGfLqr2ZxUO7ZoIjO5HG07QOtzvzvieou/9DMsBaX0vr2e\n3jefx2BzpMWiLhorzr8GyWQhOtxHMhxMtzuQzCdetiPH6UcQBOZVFrC1pY9EMoVokOnwR3CdxkQy\nH4RQXOH15n5q8x1Ys1i0niyiQcbiLcbiLcbN3EltyXiU6HAf0aEeIkO9RIZ7iQ714mvek3FDFUQJ\na2EZ9uIq7KU1uGtmn1SdVaMs8+uvffaEx/vwuo0nLQhTqRTSCVoyH35pw/sSnFOBlhY94inyVLrk\n7EXcee+vpkwQHk20w4kInRw5Th+ZvCyThOQRSv4DcdxflLvuuovOzk6eeeYZ2trauOOOO7j11lu5\n5ZZbTs0IphhVVXnoT88SjkYpKy7k49dfcfyT0giiiGQ0IRlP3EKnaZouIpUEajKBllR0S2QyQSoe\n062PsTCpRIyQz08ymURNpfCPjNDYpFBgM1Eui1zf4KY7EOWVlmEEQWRPay8FsysRDPIpmXC6bWaW\nTCumPxBGFAXaB0fT+020DY5iNcmsnlnOgZ4RNA3mVeZTX+xiKBjFYzcxGkkgCgIjIT3NebcvREOJ\nm3yHnt6/Kt+J125hd8cgbpuZdbvbaChxs7drmF5fCIvRgNUko2oaXcNBgrHEaXHjW15XQoHDitlo\n4IWdLQD0BcKsPoN1CE+WXR2DhOMKh3pHWFRTmJW1KAFUVWN2uRebyUBtUfbEY05MmGP2FJJfNwdL\naz8g0LBkLYUTxEDJ2RdTuHAlSiRIMhzU0/mHQxjzdBdI2ebEUlCGEhklOtSD0q6n+69Ycy0AvZvW\n0fPGs5n+BFHCYLWz7Gv3IUgSfVteIdjViGx1ItscGKwOZHsenoaFAKhK4pR9pnMcm7oiN039flLx\nKDWe07t48X4JJ5L88o1DhBNJbp9/7DIzf2sYTBYcpTU4Smsm7dfUFNGRAcL9HYR62wn1tTNyeCf9\nO18HwF5SRd1ltx1x3oky0WoF8LX/eYgb157LlgONJBSFT/3wF1SXFPKpKy7ga798iAe+ri88Pf7y\nG0TjcT5x2Vq+8B+/Zva0Sva2dHDu3BlcuGwh9z72NAM+Pav5Z667lLm1k/+WkViclu5+6sqP75XT\nN+zjq//9O+bWVrK3pZMCl4Pv3X4rJqNMU1cv9z72NPGEQmm+h6/cei0Oqx7+sf6dnfz8j88SjsX5\nyi3XMrO6nJ2Nrfzij88Buij62Rc+hdVs4rGXX+e17XtRkklWzJ/FbZetzVx3wfQa9rd2smLeTKKJ\nBHdcfXHmvTvc0cPnPnw567fs5IkNm1CSKWZWl/OFG69EEkVe2LSNR17aiCfPQUWhFzmdUNBsNFLs\ncXGgrYuZ1eXv62+XI8ffGkd1uz3FHFcQTp8+ne9///sIgkBFRQV/+MMf+OEPf3jaBnSm0TQtk1gm\nEo2x/vXNiILAquVLMJyGxAKCICDJxhMqBFwKiHUtdPcN0NHVwxsDQ3hUO/OnV/OXzTvwOh14CgyE\nQmFqS7y6O2tgGNDQNAEhY8IWEGU9zffYsyAe/97Gasc19ftpHwwiS2Km5AXAG6JAU78fAFkSmVdZ\nQLnHwRPvNPLczhaW1hazsLqQzuEgRXk2/u/tw0iiwOWLppFKaeztGmJhdSFvHu4hriTpHgllRF8i\nqbK4xsuW5t7TGisniSLTS9z0+EJ47RaGQ1GmFWZnrcQxagtdDI5GKMqzZV0Nuon8ZX8HHUOjyAaJ\nco8zY43NNhbVFGExGjjUO8KeziFWWMsyYxUEAYPFhsFig6Mk18ifcxb5c86atG9ihuWS5RfiqpuL\nEg6SjIyihIOkErFMltToYDcj+7eiRIKg6hZz2Z7HWf/6awAOPvof+A5ux2C1I1sdGGwOrAVl1F2r\nu4YM7dlMKh4db7c60qUAzmxyrr92XDYTN509gz8+/FscpmunejhHcHggwENbmgnGFW5bXk+VJ/td\nxk83giil3UZLKJitfwY1TSPU00rT878l1NtOx4Ynmf2RLx63rzGBB1DidXP37cde8L79qot4csPb\nGYti37DvPfsORWP87AufAuDuB/7ADWvOYW5tNf0jfr7yXw/y4Dc+P+n4Qx3dVJeceGmmrsFhvnHb\nh/l/N1/Dt3/zGBt37uOCZQv44e/+yJ03XM6C+hruf/ZlHnz+L3z2er22bCyR4Bdf+kd2NbXybw8/\nwQNf/xx/eOUNPv/hK5hbW0U0HsdoMPDOgUa6Bob5ny/fgaZpfP2+h9nV1EqR20XnwBBfvfVa/vnG\nK/EHw3zmnvsygvDV7Xu49aJVtPcN8Or2Pfz8i7djkCT+/fFnePmdXSyZUcdvn/8L933ln7BZTPzz\nf95P/QQB3FBZxp7mtpwgzJHjDHJcQfiJT3xi0rbD4eAHP/jB6RrPGUeSJG668iIa2zpIplTe2aUX\n4HblOVk899ip9s8Us+qnMat+Gj//7WOIkkQwlqCxZwjJZMYfV7n91ptxOR0Z8aqpKikljpqIkYrH\nSCViJKMRvYZcJEgyEiTuG0ZVk5OtDqqmxzzKRkR5LD23Hu9YV+SiyGnFIIn0BcK0DwUxGSQK86wZ\nQZhIpRgORYkrKVLpiW2/P8JgMEpKVTPCJaVqxJUUbx7uIRJX6B4JUeSy0esL4bWbWT2rggPdI1Tm\nOyj3OJh9BpJR7GgbYEtzL5IocN2yevId2ekuNsb8qgJml3tPS7mJU8mYS3AqpY7HMGQhoiCgpFQG\nR6MMjkYpcFqYV/n+6w9O/FxZ0gkxjkXNZR+j5rKP6Wn+027lqXgs016wYAXWonLdOhkOZoqNj9G1\n8WlCnU2T+nRU1DP/M/p39P4Hf0wi5E+LRV002kqnUbRYd+UfbT+EKBszYvJkvB1ynH6CcYUX93ez\noamPAruZL5w/m+qcGMygaSrRkQFC3c0Ee1oZ7Wwk1NsOaFg8RVSsuPKE+jlZl9GT4fxF4y6w2w81\n0943kNmOxGJEYnGs5vHP3XAgiGtCbOCxvQP0/SVed8aa2FBZSt+Ij1A0RigaY0G9bh296KyFfOc3\nj2XOXLN4HgDz62qIxOKEIlHmTKvkv594gQ8tnc/K+bMocOex9UATWw828Q8/+i8AovEEXQPDFLld\nFHnymFWje9K4HDZK893sb+2krMBLZ/8Qc6ZV8dTGtznc0cMd/6Znik4oSdx2GwfaOplfX4PLYcu8\nR10DQ5nxuRw2OvrHt3PkyHH6OaYgvOOOO/jwhz/MeeedhyxPtkJ0dnbyxBNPUFZWxvXXX3/aB3m6\nSCgKO/cdosDrYc05yzjY3MrWMUHozK4f3SsvWMWOvQeZVT+NlKry8uubqSwrweuenJ5bEEUMJguY\nLPAeRgI1qehJchIxUok4qXhUn3Cma8klIyFS8Sh6di4BKW31KBZFbpxXjGw0YTKbcJqrGQxGeae5\nn3ea+7loXhXLakvwR+I4zHK68DPYTDI1hXlEE0l6/WHsJplIXMFjN3Pp/BqGglG8DguyJHLO9NLT\n+VYegS+sT8BTqkYiLWKymb5AmG3pLKNjyXqykfNnV7C3c4j+QISNB7tY0VCG1ZgdFs3GPh+9/jDz\n0+Ul8h2WzOfo/2fvvcPjuu8z38850ztm0GbQO0AA7ARJsUksKlaxuiXLXS7ZJE42m+t1nKyf9Y2z\ndnx34+tk47uxvb6ucWxKsmRbxbJEimIRRYq9gSQAgujAABhM76fsH2cwICxSlEUCZGy8z8NngDnn\n/OaHw5kz5/193+/7vldX3WuBIAjozTb05tlyxeIl6yhesm7Wc7Ki8EbXMFlJoeNj/wVdJk42EUPK\nkUWdccYZ1+QuRpGyZGNhEuNDSIkYBQ2BPCHs/NH/gxSfIZii3kDJqs00PPBpAM5v/5/oDCb009VH\nqx1bWQ32stq8kY/eYn1XioMFvHsksxKvdY3yWtcoGUlhU30p9y+pumlyEecbqqqQDgXy/YPTj3H/\nAFJKU6yIBhOOslqqbr0fd/0SHOV11yS11okiyiXV/oyUveJ+6jvsZzHOqFsUVeX/+7/+CNM7XAdN\nRgMZaSaiw2mzEghHZ+2TTKWxW80k02kMl7wnREFEli8/z0vxtvMiCDxxx62sbWvmYGcXf/L1b/P1\nz34CFXjijk28f8PqWbuPBYKYjbNVO7etWMyuo6eoKi1mw9JWBEFAVVXuXLOcT99/x6x9953ofMee\nvExWwnQTZhYvYAG/z7jiJ+7v/u7v+P73v89Xv/pVXC4XHo+HdDrN8PAwVVVVfOhDH2Lbtm3zOdfr\njlf3HODE2S4EQeChu7bwxuETeIsL2bZxLVVl7844Z75QXe4jk83S2dXL8vYW/uwTH7ym8bQAX8M7\nZrWpipIjjCmt4phJk43HyCYiSHGtV6pUTBFIRJAzGqnq7htiIpbGaTWxuKSEXouBtKxitxhZXFXE\n0we6GAvFKXZaeWBVAx67Gb1OxFtw4/p2Vtd7UVGJpbIE42l8Bbabumfrza4RxiMJhqai1JcU3JTm\nN7FUhmA8RYHVlI/xcFlM78qtdq4RS2V47cwgoBJOpHnf0lpKXTYev6UFAXBYjAwEIoTiaRaVe96W\n9amqKsF4GofFeEOcaHv8IU4PaqvnNpOBjnovZk/pZfetf/+Tb3tOVWYWPRZ9+D/nFoCieQWBzVeb\n208mPnxxpiqZO65sw73Yy2pRMikO/t2TIAjozdYcYXTgXXsnpStvRU4nGXnjJfRWO3qLHZ3Zit5k\nwVzkw2h35eahLpDJS5CRZPZc8PPKuRESGYnlFR7uaavE67z5cyffK1RVIRuPkI7ksgsjU7lMwynS\nkRCZ6BTpcEAzg8pBb7FhLSqjqG0NjrI6HOV1WIvKLrHQv3Z4Cwv45d6DKIrCZDjCuf7hmdfXiUiy\njF6nw+20E4zGCccSWExG3jx9ntWLLu+ovKqlgef2HODxbRsB6BkafVuvYHVpMU9N7Mv/vqShhq/8\n4GmeuGMTVrOJPcfPUF/hfce4KbvFjN1q4WRPH0saanj1reMsbZzppdx15BTLm+o4daEPm9mM3WJm\neCJAXbmXunIvZy4OMuCfoGNRA997YSe3dyzFYjIxEYpcUZmyaVkbP/nNbno8o3zm/jsBWNFczxe/\n8xMe2bIOt8NOJJ4gkU6zqKaSbz7zIuFYApvFxO5jp6kvn7nnGhoP0F5XdcW/bwELWMD1xxUJYXFx\nMZ///Of5/Oc/z9DQEBMTE5jNZmpqarBYfj++nKZlbKqqcrzzPP6JAACxeIKhUT+lRYWkMhlOne2m\nqtxLhe/yN13zAUVReO7XryHJMgMjY/zZxx+f89cURFG70TPPllCeOtfD6b4oKxevoamumvJkAt3e\nA2TTKZLJJIm+IeJpiZTBwSMdBfx0fydvdvZx1qxHkBVkScGQFXBmIyixFFmdHsFgJJpRsFnMGOd5\nFdxuNlLhcfB65yBjoTiiAItushDtS1HisjIeSeCwGGfl+90sSGdlnnmrm3RWotxjRxRFFEWl2Dn/\nUtyBQISMpFBfMlNJN+hEjHqRTM6+/8f7OlFUlfuW11PisjIVS/Lr432ASiiRZlPL7D5w7HC8AAAg\nAElEQVSWveeHOTscwG0z8/DqxuueA+oPxzk1OEltsYv60oK3bS+wmvKr7+5LImfSWRm9TrjqfC69\naXbVXlkWL4g6VvzlNwDyklYpHkOc7n8WRGrv/ThSIoqUjOWrlNPjZ6Ih+l/52dvGrb//U/huuZOE\nf5Bj//Q5RIMJnVkLQdeZrVTd/hie5uUkJ0c1Qmm2ojNb0Zks6MwWXHVtmJweTdUQi6AzW9CZLLPM\ngv69QVIU3rw4zq87h4mksrR6C7ivvZJK981pcHM5qKqKkk1r74NkjGwyPvO+SMbIJrVHKRmfvU8q\n/jYLdkHUYcxlhtpKK/E0LsvlEZZhLfJhsM59j2x7XTXeQjdPfvWb1JaVzOpxu3d9B5/86jdprPTx\nxY9/gI++bzN/8g/fwlfopqr0ynLzP3/0Hv7xqef55Ff/GVlRWFJfw19+8P5Z+1R5i4kn03kpaX25\nlwduXcOffeN/IwBuh43PPfHgVef/1x95OG8q4yvy8FcfnumNdVgtfPbr386bygD8fNebHOvuRRRF\narzFrG5twmjQ0z82wZ/+w3cAsJiM/M3HHrnsNcZhtVDtLaF/bDzf+1fjK+HJe7fxn7/5A1RVRafT\n8RcfuI/W2ko+dvcWPvv1b+NxOWisLEO5ZKHqdG8/H7t781X/xgUsYAHXD4KqXjEM46bG0NAQW7du\nZefOnVRUvLfG43Q6w7HO8xR73GSyWX7xm13YrBasFjPjk1NU+ErRiSL9w6Po9Xr+/BOPYzbduB6b\nb//kGQLBMKVFHoxGAzqdjgfu2IzVMn/h6Yqi8N+/9UMURcFmsfDRR+4lFIlSU1GGIAic7e7ll6+8\njtVioa66ggKnnYPHTpNKp7FZTDx250aGhkep9xUhyhlSkRBKKs6Rrj4OdI9i0wvc3+bFpBfJe+mK\nYq6imetv1BnyphzvBVlZJpbK4rbNnLeu0SC7OgcAuK21kmaf51pO05xCVVUmo0mcFtNNadQSTWb4\nt/1nAfC57WxeVIGsMCd5me+EgUCEXx+/CMD6pnIWlXsQBAFREIgk0wSiKcKJNAcvjAKwuKoYVVUx\n6nUcvTgOqLSUFbKhuQydKJLMSMTTWXaeGSCUkxl/dGMblutMyn/25jnCiTSCIPCRDYvIyirOXBU4\nnsry6ul+UlmJdY1lVBVpFf7e8RA7Tg9gMep5qKPxhpoNvdE1zFgowS2NPrwOk1Z5nM5xTSWxlJRh\nLigmHZnC/9ZOzQwrnUBOaTmv5Zvup6C+jXDvGTp/9D+Q04lZhKH1E3+Dp3k5gTNvcfbH/yP/vKA3\noDdZaP3YF3BUNRLqOcXIGy+iM1kvIZw2Sju2YLS7SAUnSAXG8pVLndnCE1/4Gs/8t79BmKfzp6gq\nRwYDvHB6kEA8TX2Rg/vaK2kovrJyY17mJWU1ApeYIXZ5ApeIkU1Nb8sRvNzjdAzE5aAzmnMGTXYM\nFjt6iw1DrnpstLswOT0YHW5MTjcGmzMfnP2HiKdfewOr2cQ961bd6KnMO7oHR3j6tTf4m489eqOn\nsoAF/LtC2e3X9pm5+coL84hoPM6Jzi7MJiOP3L2NB+7cDAK8uFOzrfZPBCjPuX3dDALCjz58L8Nj\nEwyN+Nl/9AQAZ7ou0LG0bd7mIIoipcWFjPoncBc4+e5PnyMrSdyycimxWJwLA0Pcvmkt4UiMA8dO\nAbBuxRKi8QTL21sQ9Hr6Az2oZgcuh53n9r+Fy2HHbi/HVqpDVVScHXdQUmDLSVXTZBPxnJwtgpSM\nkYlMzWTJXbKcIYgigsEwQx71hrdJiLKywjMHu4kk0yyrLmFNgw9VVWnyuRFzwzVcpipzMyEQS3G8\nf4Jyj53Wm7CS6bAYuXVRJcNTMYKJFD978zzrmsrmnRBmL+kHHQ3FOdAzitmg4+5ldRzt86OqsKq2\nhL7JCIqqMhVNMRzUenXWNZWRSEucG5mixx9kc2sle84Nk85K1Ba7MBt0VBc5rzsZBHBZTYQTaaxG\nPb843EMkmWFFbSkddV66/UH84TgAQ8EYR/vG0YkCJr0OVVVJpLNMRpM3jBAG46m8nPVQ7xhmg56R\nYIwNzeU0Vs2OcjE5PVRtu/IXmKuujVv+7x/kKk8Z5BxpNDq1CBNbeS2Nj/5pjkgmkNJJ5FQCg10j\nU3I6RTo8hZwayhHOBKosU9i+GqPdReD0gbdlTIYvpklHApiLvYwe2YX/xD6tt9Ni1UiM2UrF+nvR\nGYwkJkfJJqIascntI+rfvXz7YiDKz4/30zcVo6LAyh9vaKbVW3Bd5eqXmhVlEzHtOpqKv61ql03E\nkS4heUo2c8UxBZ1eOxdWjdhZCr04LRqxu5TkGabJn9WO3mz7d13BnW/cv3E1rx87faOncUMQjiV4\n8t5/3+1IC1jAv0f8QRPCE2e7CQQ1l8xdbx7i5NluAJa1NhNLJFiyqJFKn5dT53uoKvPe0OogQP/w\nKHsPHsPjdqHX6RBFkary+e91/PADdzMxFUSWFX78rJaxNjY+ycVBrcfi2JnzLG9rye8fCIU539tP\nOBZHVVUGR8bouthPbWU5iqIQDEdY3t6Mqqr4SoqoqKq86k2RImWRMzk31Vx/o5SM5Uxxcm6q0RDD\noTgHB0IU2U2sr3ETS0kEI1EEQaB/fIqByRChRJat7VU0eGey8hRFZfe5IQKxJBuby/PB6smMRP9k\nhHL33EVhXA37zg/jD8fpHQ9RVejAbr75eghbyjz4Cmz87M1zAJwfDdJWUTSvc6grcbGhuZyMpBBO\npJEVhXha4VDvGH0TWg6YzawnmsqQlRS8OXmeThSpKXYxEoyRymoVj67REOnczypw/8qGOZv37e3V\njIRiGHU6fnlEcxAdnorRUQflbnu+pzGVyebJYXtlER67BYfZQLl7fgyxBgIRJiJJWssL88TYbjbk\nCa3HZqZzWJPhnxkK0HjJ50tWFFJZ+V0RV0EQZvJeHTNjmAuKMa+87YrHFbZ1UNjWMes5RcrmexaL\nlq7HXl6HlKtMyukE5qGnMVg1QqnFA5nIxsMkJ0eQUnGkVJLKjZpz5cihVxk9tHPW+DqjmVv+6lsI\ngsDQ/pcID3RdQhhtGOwuCpds5NkT/ezrHcdh1PH4kjLW1vvQv0vCJGfTuR67IJloSLvmJaJkkznC\nlyN+0wQQ9QpGWYI4Q9osNkwOD7bSqpnqXY706c0ayTPkSJ9oMN7UPda/DzAaDNyxevmNnsYNwapF\nc3dtXcACFnBl/EETwqbaKo6eOovRYKDAOdOTUOQp4O4tG/K/r12++HKHzzt2HzhKIBhiYirIH33o\nEew26zu6lc0VDAY9Zbk+ia3rVzMeCLKhYxm/fv0N+gZHKHA4eOv4aWoqyti8roNf/GYXAAPDoyxd\n1MjgyBh2m5U1y9oJRaIUOB2sbG9l7fIl73oO06Y4WN/55vfAcy+Stg8xpMpQ34HXqGO9uZuBET9V\nBWb2nx9ElWU6LwzgExIcH4ngj6Wpcls5OxBGEAWOXhjlrmV1CKLIS8cvMhlNYDMZ+ND6RTfkxqjA\nZsIfjmM1GW5Kyeg0nBYjtSUuhqdi8xIf8tsQBCFPQiejScbCcaxGA80+NwOTEVRAlrWqGoDbaqJl\ncTXJjMTP3+rGatRT5LAgKSqr60sptJuZjCVZXT+3izB6nUhVoUZKllWXMByMYdCJfOe1k7RVFHLr\nogqOXPQjKSo6UUQUBZp9HtY3lc/pvC5FJJnh5RN9qKpKIJakodTNZDTB4spiHlndRCorYTHqCScz\njAZjNPvcSLJCIpPFYtTz7KEeQvEUq+t9LK+ZP6fcS6tUJqcHk3O2NNyy/Q3+7dQwiiBwb/tKFi9Z\nP2u7qih51UH5mjspbFqe74OTkgkUKZO/JsiZFOlwgPhYP1IqoS1cFfg4EPAwFEqwRB6h4dRLqCey\nvIlGJq2llbQ+8lkSgTGGD/yadDiAqigoUhYlm0ZKp1Cy6bf/YYKQI3CaE6yl0IuzUjP5MVhzz09X\n66wODBYbOpPlD1qWuYAFLGABC5jBFQnhfffd944HPv/889d9MvONyjIvf/npD+e/wHWiDlmRb4r8\nwcuhobqCQDBEkbuAXW8ewmGzsW3jmutuavG7YM0lZPmJ+9+HrCh8b/svCIYjBMMRZFmmusKLoiq0\n1NeyZV0HS1ubcbuc2KwW/vgjc9sn0FxfS//wGG6Xhx3HuwmFI2xas4Jtyzo413ORKpzE4gmaW5vQ\neYs42/sbVNGIXrDh8egIx2KU2A28fKgTg04gFk0hZ2SSUoZkwI/eaNKyG/UGBL1hXgji+sYyVFXF\nYzO/zQHzZoIgCDjMRhxm45xIK38XFDksPH7LTNX68XUtoIJOJzARTZLKSkRTGVQV4uks6axEOivx\nvmW1eXLmsc+/mda0K+t3d51CVVU6h6cYDcUJxlME4ykeXdOUczud3/eBKGgyehVNmvvqKS37LZzI\nsLiqiHgqS22Ji23tVYTiKTx2M8+81UU4kabJ58n3YA4GovNCCC+Oh+mbjNBeUXhZcyNFVYkkMhis\nLuIZCUSBi4EYhbbZ/dmXStAtnlIsV3B3Bai+7SGqb5sx8pCkLP9z91n84RT/YUMzVVIRydZS4v4B\nYiMXSQYniI/2cfAb//GKYxrsLqo23ofR4aZv18/JRKYAEA1mRKOJgpoWGu7+mPY373gKRZaQs1mE\nTApBFDHaXVjc2vnOJmLoTGZE3R/0uvACFrCABSyAdyCE3/rWt6558D179vCVr3wFRVF49NFH+cxn\nPjNr+8jICH/1V39FNBpFlmU+97nPceutt17z6/4u0Ol0HDl1lolAkPUdy3DYbt5Q8q0b1rB6+WL2\nvXWMY2c0KV5NhY/m+pobO7FLoBNFmutqmAgE8ZUU8fSLr5JMpWlpqGXrei3LaD7dWlctaaWtqY5Y\nPMn//umzAHRfHGTfoeMoikKhu4CSokL2HzvNWZeDAo+HaCxO46J2jAYD6WwWVBX/sVOgKqzd1Ewm\nlaLOW0iRzZCTbIWREjGkUGDmhVUVBK3fRjQYZ/5dw82XqqooqsrpoQBdo0EAnBYTtSWuazpHc4VI\nMp2PnDjc688Tq5sBjktktg91NHJiYIID3SMANPs8GPQ6XBYjpU4bkqwwEopR7LDOObEdC8c50T9B\ndZGTljIP8XQWs0HH4qoizgwGaK0oRAACudxOl9WUXxDKygrj4QRFDgvJjMSJAa3PdC56Yu1mI+9f\nWc9kNImvwMbPD/WgKCoZWeaXhy8AKkuriun2h0iks9SVuAgntMpWKJ6iraKIsVCclbVzfy3ISDKv\nnu5HVVUmIgmqi5ycHw2ytKqYpdWa0mHH6X4ujocxOd24LEYUoL7IwXAozsmRIDWFdhZd43nsnUrQ\nO5Xggytrafe5kbNW+l9/ltDFMyCI2L2VeBqWYCupwFLow1JYislZiCCKyNkMUiqOqiiYXVq1XTQY\nyURDSNMVylQck2tGlh3oOko6NDkrrqFk6Qaa7/80qqpy8Bt/gSpnNbOXnJNr6dINVNzyPlRF4eKr\nP9NMYMzW3KMW9WB2a+ZLqiIvkMkFLGABC/g9wRWv5uXlM/Kj4eFh+vv7WbduHalUCkm6spPYNGRZ\n5stf/jLf//73KS0t5ZFHHmHLli00NMzow//lX/6F973vfTzxxBP09PTwmc98htdee+0a/6TfDSP+\nCX6zez8A6UyG+++4bV5f/3fBzjfe4vyFvrxcU6/XU+i5+QxQNq1ZQcfSNmRZ5p9/oNnOR2Pxy+7b\nfXGAoVE/q5a04rDPjcW6xWzGYjbTsbSNgeExNq1Zzkuv7SMaT+CwW5mc0vpII7EEm9etIhyJUeB0\n8HLufbGooVbrY9IbaWttw1ty+V44VVFyvUhJTR6WTpGJhcnGwmTjYbLRMEo2BdMyrZwhjmDQo9PP\nkMbL5bIlMxK/ONxDLJWhpniGAOrEm7eXx2Yy4LFbmIolqSyce5v4a4Er3w8qUFfqYl1TGQOBKFlZ\n5rXOYQYmIzgsRh5f24I4h+d877lhpmJJ+iYiRJJpjvWN47KaeKijgbICOy6rCafFSGtFIdYcOR0J\nxii0W3jlVB8jwRgeuwWjXmQsFOfcyBS+AtucmMyUumz53toHVtYTiKWwmfQMBTRjnmgqm5fjJjMy\ny6pLGAnGWNPgo2ye+hxB+4xYjXri6Sw2s4Hj/ROAyrH+cRaVa5LR0aB2fdKZrCz1ujjuj9A9EeHC\nZJRwMkP/VJz6Qsc1ReJEUtq5qMhlroZ6zxC6eIbKDfdRfstdGCxXPidaP+PsXuHi1tVX2FvDqj/5\nGgCKlEFKJsim4ujypjcqtbc/dgmZTCAl4+iMWkVUziQZPfr62+SpVbc+QPWtD5KJhXjrG3+BqDei\nt1g14x2zjfK1d1C0qINsIsrIoR2553PbLbZ8ZMS0uflCL+ICFrCABdwcuOry3lNPPcX27dsJh8Ps\n2LGDsbExvvSlL/HDH/7wHY87efIk1dXVVFZqznL33HMPO3funEUIBUEgFosBEI1GKSmZv16SaVjM\nJvQ6HZIsYzIaNJJwE1YJk6k0B3OunYIg8OkPPoTZZJwzEvVuMTYR4NCJMzRUV7CosS7/vMWsGfA8\ncMdt9A4O4yspJhKN4XRoNz2JZIqsJPHMSztQVRX/5BSPv//OOZ3r7RvX5n/+2CP3MTw2Tk1lGUNj\n45w+14PdbmPH3oMANNVW5/dtqKli45oVGPR6XI4r37QJopizVb/y/4kiSciZaROLlGbZHo/k/oVJ\nBwOoyqULLioIIsMxiVAsrvX8qArLqksosJrysQM3I3SiyNp6HwOByE3lhto/GeGNrmG8LhubWyuR\nFRVJVtjaVoXLaqLYaeXFY70MTUWxmgz5IOZYKousKojMnTzTbTMxFUvisBgYCWkkJZxIs/vsEL3j\nYQw6HY/d0pxfTHj1VD/9kxEKbOa86U0okaY2974wGXTo50FSXuy05qWYm1oqiKQyLKsqocRpZTQU\nY2Vt6Q3JoQTtffhgRyMTkQTlHge7zw5ywR+i1GnlR3s7EQWBJVVFXBgPkwiMcmQ4SFySOToYoKbQ\nQTiZocBiuGIg97tFU4kTk17k6WN9/PG6eqa6jwNQ2LziHcngtULUGzE6jBgdM4uHgiBSvvr2Kx6j\nN9tY/9ffQZEljSzmCKPR7sqPWb354RyhzG1PxZn2406HpxjY/Yu3jdv0wGcoXbKeyGA3p370tZnq\no0mrUFbf9iDOigaSgTEmzx3J5+BOk0prcVmetC5gAQtYwAKuH65KCH/yk5/w9NNP84EPfACAmpoa\npqamrjqw3+/H650xXygtLeXkyZOz9vnsZz/LJz/5Sf71X/+VZDLJ97///cuOtX37drZv3z7ruUzm\nyrbYvwvcLidPPnY/XRcH2HvwKMc7u3j8/XdSU1F2Xca/XjCbjNRUlNE3NILH7eJXO3ZTXe5j24Y1\nN3ReL+7ci38ywOnzPSDAwWOnaaiuZH3HMvqGRvCVFjM0Ns7Lr7+B2WTkjz70CHsOHuHYmfNUlXvR\n63RkJQmzaX6dMp0OO0ajgR88/TzBcIR7t27CbDZy6Lhm9V1V7mV5ewuKqtBYU3XdXlfU6xH1jncM\nVpYz6VyFcYY0WkIBzgezBKMxkrEo3cPj2I16ysQker04E78x3dg1/YQKiIJGJAVB64ESRQRB1Fbn\nRVGL6xAufX7652tbvU9mJF4+eRFFVQkl09yzrO7qB71HBOMpDvaMUuSwsKrunU1fjvePE01miCYz\nLKsu5sTAJF2jU+h1Ik+sW0Q6K+crW6mMxN3Lajk3EqS2xDnnvXqbWytpLS/EYzczFUuxv3uEUqeV\nWEq73mVlmTe7hrkwHqbQbiGdU2uEE2nuXFzN+bEgjaVuKgsd1JcWUOSwYDLokGSFaCqTD7W/VsiK\nwomBCQQEllYV0zUWJJbKsLS6mEWXkP+l1TOyzN+GoqhzWm29FDaTAVuusr6tvZrNrZUc759gIBBB\nRiP74UQaa6GXQquReCRJpdvGHS1ljEdTeKxGxGs8b06zkQ931POLXW+w95+/iy0VpGTJeuxlNdf+\nB84RRJ0eo82J0TZ74clgsVGVc1u9HOy+ajZ88XtIqWTOcEcjjtYSTXlktLsov+WuPJmUc4/TeZMx\n/yB9O59627hLPv5fcFU1MX7yDXpe+pGWIXkJYay/60OYC4qJjlwkknN4vXS7pci3IHNdwAIWsIDL\n4KpXRqPRiNE4c7P+buSiAJfLu//tG5EXX3yRBx98kCeffJJjx47x+c9/nhdeeAHxt1a0H3vsMR57\n7LFZz00H018PFHncXBwcQVY0e+6hUf9NRwgFQeCD999FOpPhqedfwT8RwD8RYHlbC4XuG9dD5nLY\n8U8GsFkt7H3rGJNTIUb8E4SjUU6c7cZoMFBSpMmyUukMyVSK8739AAwMj/GJD7yf8ckgixpr533u\n/skppkJa/MDZ7l5cTjtlpSUsbqlneVvL296H84W8xb595v+1APjMyk0A/ODpX2EdHUNWVQrX3YvT\nZkaVZVAVVEVGlXOPqoIqy5pDoSShSBlUOYsiSyiShCplc9uy2vPZLKokaT9P9x0JAqqqInCJiwjM\n/hkAVfvMC1r1QRBF0rKqjaWoSJkMXcOTVBS7sM6BM+7BnlH6JyP0T0Yo89hRFJVihxWjXmQ8ksBl\nNWE26AnGU1R4HIyF4hRYTZj0OpIZ7W+VZJV957VKXLHDQmt5IcVOC0UOC1vbHYQTaULxNAU2E9Fk\nhmRGosRlZSAQwR9K0FZRiPU9SjPHwwlePd2PzWTg9sXVHL04DsADKxvQ60QiyQzmi36KHRbOjWoL\ncoFYks2tlZwbDdLic1Nd7MJqMhBLZxEFLRbiUO8YtzT6ONTrZyKSoMnnYXNr5TtN5V3h7PAUhy6M\nARBNZTibi5fISAqSosV8bGguR1ZUJqNJ6ktdxFJZBgJR6opdnBma5MTABA2lbra2X78Fl3cLnSjS\n7HMzNBVFJwiYDLrc+1ekssDG1tYKjDptUcTrvH5mQssrCkkG9yKnghwp3YjOvR5hIkpjsfP3Tj4p\niDotruIyTtAWTym1Wz9wxWOLFq1i3Re+MyNnzVUorcUaobQUevEuvxUpnciTzXQ4wHSFMnSx87KE\ncs1/+ieMjgIG9v6K4QO/mSGMJit6i5Wm+z+DzmAkdPEsicDIzLac9NVS5Pu9+39awAIWsAB4F4Sw\no6ODb33rW6RSKd544w3+7d/+jS1btlx1YK/Xy9jYWP53v9//NknoM888w3e/+10Ali9fTjqdJhgM\nUlg4f/KyUCTK9udfQZIlqsq8GI2GWRl6NwOi8QS/euV1AB64czO1VeUMjY1T6C7A6bixktH777yN\nvsERvCVFHDh6ksmpEMUeN/Gk5iKYyWZZs6w9L7V8+fX9lJcWEwhFaG+ux1dSjK/k8hWE642Dx07h\nn5xi05oVFDgdVHhLaKqrZiIQxG6zcuTUWQBaGmreRgZT6TRZSb6hcmJZUTh66ixlJcWYjEZqK8so\n9s3dwoWqTBNMWXtUZK1PUpIQUGaeV9VZ+0wFw6hyFq/ZyAc8lYxMBjl5YYAdp/pwmUQeWuzLVwIQ\nhNmmO/r3lnFW5LDQPxnBbNCz//wIgZhmulLqtNI5HMBuNtJWUcjBnlGMeh2bWirYe36Ynx04z9a2\nKgRBoNBu5uyIRrYmoknaK4vY1TnEm92jrG8q4/WzQ6gqbGwuZ3+3toC0orqEYwMT+fiFu5a+t4WN\nc6NTxFIZYqkM+7tG6B3X+lqNepGxcAJFUdnSVokoCoiiwNnhKSoL7QwGYowGYxh1IkUOK88d7kFV\nVZp87rzx0JGL40xEEoDWb3g9YL4k7kTrZdRWCGKpDBdzGY8He8YYDkaRZIXBQITRUJxkRuL8yBTJ\nnLy1xx9kc2vlrEphMiNhNujm/MbbbjZy/8oGFFUlnZWJpjLsjwZpLHSQyEjozUaSmSydYyG8Tgul\nDgsnhqdwmAws8r733u2K5Rvp3/VzVvr3kgie4OBxL/s81VS3tLO8tQWPbUESeWn25G9HgwA4yutx\nlNdf8fiKW96Hd8WteSI5TSr1OXJqL62iuG3NLMKZjgbz1cOJzoOMHdk1a0xRb2D932j3K90vfI/A\n+eOzJK0mp4fG+54EYPLcEbKx8KwKpsHqeEdX2gUsYAELuJG4KiH83Oc+xzPPPENTUxPbt2/n1ltv\n5dFHrx4VsHjxYvr6+hgcHKS0tJQXX3yRr3/967P28fl8vPnmmzz00ENcuHCBdDqNx/P2i/9c4tyF\nvnw4/bLWZtavWjavr/9ucOpcN/3Do/mfN65ewdJFTVgtFtKZDC/s2IPFbGbbhjXor8H04L3AoNfT\nWKut8N++cS0rFy/CYbcRTySxmM2kUileP3CE9uZ6jp4+lzeX+fx/+PhV5xqNJxjxT1BbWYbRcG1V\npdHxSXa+8RYA2WwWh93G2Pgk2zaupay0mAv9QxzvPA+Qr7ge7zyPJMnUVJbxo2eeJ5XO8OBdW1jU\nMP/VTIBjp8/x6t4DANy37VYWt8xtgK+Qk5NySXbb4ZOdvLLnTarKvHzw/rvQ/ZaEsndgiO379iEA\nH7z/LrI4cBdUoAtK2CwpRIOe6m0PzpLDZqIh0tEgrxzron8izMpyJ62lOYmaqiIYDVc13VlV56Wq\nyIndbODpA12AJqPU5UhFLJXJG4dkJJnBqSiqqiLJKhf8IQYmIwxMRmj0uhkLx2nyuhkLJwCVjCTT\nPxnNqx5GQrG8miCUTCMKArKqXlOPWV2Ji+6xIBajnqoiR54QhpMZhqc0k5YjF/30+ENIssrWtkoa\nvG6+v1uTOA8EoiyuLJqlzCiwmQnFU9SVuKgvcXFhPMyyK8g3f1c0eN2AgE4UqC1xUea2E09nKXVZ\nGQ3FSWUlip0WBgIRQDvn01NTVJVlVSUcHxinyeueRQYPdI9wYmACb4GN96+ov66kMBRPo6hKPj5E\nkhVeONbLeCTBppYK7lhcw3e+3ce+vgl6gjG8TgsGnchgMI4oCNQXO+ke18iuy22L+KwAACAASURB\nVGKkzPXeFoeqNr6f0qUbmDx7mFD/eax95+BiF1x8lSOvmEkWVOGuaaFl2SqKy6uvPuAC3gZBFLXc\nRYsd3G/f7mlahqfpyt/19Xc+QfWtD1zSH6llTE7DWdkECLOql4os57ePHn6NUO/pWWNaispY9Sd/\nD8CpH/934uNDswil3VtNzVbt3sp/Yh+KlM1XKHVmK0ZHQd5hdgELWMACrjeuSgh37tzJAw88kO8h\nfNcD6/X81//6X/nUpz6FLMs8/PDDNDY28k//9E+0t7ezdetWvvCFL/DFL36RH/zgBwiCwNe+9rV5\nl2M0VFdw8OgpFFVhcirEzn0H2bRmJQbDzdNnUF3uQ6/XI6CZuDz1witsWdeB02Fn94GTnO25CECF\nr4T25rkjCVlJYvvzrzDqn+DerRvpHx7jbE8vGzqWYzIaOHj8NIubG2iur+HgsdPUVZazc/9bxOIJ\ndh84QlNdNdFYnCJ3Ac/95jVEUWTr+tW8sGMPsUSS+7Zt4vU3DzPsn+Cu29ax+8ARorE49dUVPHbf\ntRnO2K0WjAYDmWwWURQ5fLITgN0HDqPX6xkZm2DLutXUVPrwFLg4293LS6/tA6C5voZUWrsZ6B8a\nvWGEUH8J+bpWg4v3itPnewAYGBnjTHcvE5NTLF7USEmhh3Qmy9hEQKsYAodOdtKVkwevaNeyPdua\n6jDYnBgu6UnKShLJZIqx42MYix0Mm+3ceds25HSKbCqOFIuQiYVypjuTqIoMCKg5zaqo0yEajHiM\nJkSdwNb2Ks6NTNHodWMx6DnS56fcbae6yAnd4LQYWVpVTEZSEAWBgksqMsVOK9VFTvacG8JlNeIr\nsGE3G7ml0YdBL6KqcEuDD6fFSCSZYW2Dj2XVEhPR5DXFO1R4HHzi1vZ8n5rHZs61fwr0T0RQVBVz\nrhcQYHAqylg4gbfARiSZodhh4UjfOBUeBx67meU1JRh0IhlJyUdlLK66fpX4wUCUXZ0DGPQ6TAYd\n+7tHyEoKdy6pYUVtCYFYkvaKQlxWIwOTUdbU+4ik0pwZCrC8uoSRUByDTsSo13FuZIp954cpc9sI\nJ7TP2VgoTlqSMV+n6/BoMMbzx3pRVbhjSTW1xS5CiTT+sLZI0D0WRBDAaHczEk1qc4ikqC3UKko6\nUcCsn/7MCRj11/b5Mzk9lK+5g/I1d6CqKqngOEPnTzHYdRrzWC8c6eLckV9x1FmG89YPsqy9FctN\n9J30+w5Rb8RoN2K0X/4zXbp0A6VLN1zx+NbH/mO+L3LacOfSDEtP4xLM7qL89mwyRjoazG8f2Psr\nUlP+WWN6GpfS9sG/BODQNz+PnElpUlaTBb3Ziru+nfK1dwEw9ObLiAZDTu6aq2C6CvPVVlVVF6Sv\nC1jAAmZBUC/X7HcJ/vqv/5oDBw6watUq7rnnHjZs2IBef+O/mKZ7CHfu3ElFRcU1jaWqKkdPn8vH\nT2xZ18HaFUuuxzSvG1LpNKPjk/z0ly8D0FhbxbqVS+m62M+bR06i0+n42CP34S2euxXEEf8EP3j6\nVwBUlXkZGNEkwS6HHUmWiSe0G6nqcl++otlcX8P5C31U+EqxWS3E4gnKS4t568SZWdsBGmoq6ekb\nBKDCW8LI+CSKolDkKeAzTzz8O801lU6TSKbxFMwQj1AkSigSpaTQw/e2/4JILM6K9haOntYyHavK\nvaTTWfyTAVob6+js7gVg6/rVjI5PEosnuHvLBjwFN6ZnU1VVOrt66ekf5NyFPmoqfDx6z+3z2ut4\npusCr+49QKWvlAv9Q0iyTKHbRXV5GUdPn6W+ugKjwUA8maS1oS4f3bG4pZHxwBT1VRWUe0v4xW92\nUeQp4Na1q/j5SzvQ6URKigoZHhtn8y2rWL2s/YrnQMmkkTNJzYwinSIbj2jxHtEQ2XhEs8rP9z6S\nl6XqDCatwqg3zLoZkmSFQ71jjIXjNPvcXPCH89LKh1c3UeSY/0D6SzFdXdPrBPaeHyaZkUAlX317\nsKOR184M5HL+BD6+qQ2TYW6VAm92j+QzJmuKXfTlZKK1xa68ZLTZ52YkFM+Z95QwGIgSiCUp9ziY\njCZzrqgCJU4L4zlJ6+p6L+dHg9QWu1jT4Ltu8+0cDrD33BAAy6qLqSpyUWy3sONMP/5IgkqPg+6x\nIIdPn+MjG1cwlZZoLHFSW+jg8MAEDUUufC4LvZNR7CbDde0r/G2oqsrA0BDnDr6OtXMH49Yy9tY+\nQJvPzcrKQtrL3Bhv0ILQAuYHcjb9NsMdvdmKs7IRgL5dz5KNh5CSCa2PMpXAXddOzZZHUFWVff/t\nSVCVWWP6OrbR8L6PoEhZ9n/tj9DliKTebEFnslG6dD2lSzcgZ9MM7f/1rOqlzmTFWujF6ChAVZWc\n+fXCe3ABC7iZUHb71dWb74SrMru///u/J5vNsmfPHp5//nn+9m//lnXr1vGVr3zlml74ZkEgGGbv\nW0dnOci9U7TAjYLZZKKk0IPFbCKZSiMIAj985nkANq/rYFFDLQXOuc16Kyn0UF3uY3R8kpWLF2Gx\nmDl/oY/2lgaisTgnz3ZTU1GWj8IwGg3YrVbamurxFDjZ+9YxAAqcDkRRRBQEFjc3MOKfIJlMsaK9\nBUmWGRmbYNXSNvQ6Hd0XB1i5pPV3mmcsnuC7P3uORDLFHZtuYdWSVlRVpcDpyJ+jz3zoYRLJFDar\nhdGJAP7xSap8XvYd1qzgY4kkD965mawksbilcRaBONN1gXQ6w9K25nwo+HxAEATamut568RpZFnm\nQv8Q4WgMt0sjvcFwBJPRiNUydz1IbU31tDXVoygK3/zhdmLxBCajkbM9Gnm+0D9EY20VA8NjpNPZ\n/Dk8ePw0E4Eg/okANRU+spLE6PgkR051kpUkshK0NtTy4Qfvvuo50JnM6ExmjI7LaMEARcoip2cI\noyZLDZKNaYRRCgVQudQoR8WuphmbiuAPxmj0uhFFkVKnFbfNdL1P4bvGsb5xzo4EaK8oosxt5/TQ\nJFWFTupKXBzoGWUgEEEUBSYiSZwWE+FEGo/djOEaq1fvBq3lhYyF4uh1IhVuG2PhOIqiUlPspG8y\nkqsSC0STWsVvNBQjmAumn4ppMtazwwFqS5xUFzmZOp+izG1naVUJy2uuf59Vk9dNIJokKyt0j4U4\n3j9BfWkBLWUedLlr0TQMOpECqxG31cTr3aMMBuMMh5J8cGUtDcVzG/OiqirRoQtkT72B8+JBJKBx\n2WrUwlKODgU4MTyFSS+ypMzDyqpCWkpd8xIrsoD5hc5gQmcwYbrCNa5m80PvePy6L3wbOT1dnUwi\npxL52BFVVam45X1IuWukRjrjKLLW15tNxBjY/dzbxqy744OUr72LZMDPkf/1BY1Qmiz5PsnK9ffi\naVxKOhxg9MiuGTKZk73avFUYbU7tdVQFUT+/zuILWMAC3hlXrRBOI5vNsnfvXp599lkOHz7MgQMH\n5npu74jrVSF86oVX8lWp+7ZtosDpoLLsnW3rbyTiiSTReILhsfGZiub61axdvviGzEdWFHSiiKqq\nXBwYZu9bRylwOWmsrSISjfHa/kMANNfV0N03AMCDd27G5XRgt1qw26xa1UdR3taP9l7RPzTKT37x\nEgB1VeVMhSIkUikeved2Eokk41NBVi9tz2clZrMSz778GtFYHIvZRCga5c5N63A6bBgNBixmM6/s\n3o+sKtRXVfL8jt3AjTvvxzvPs2PvQWoqy3jfbevQ6w109fbz/I7dGI0GnvzA/fNSxQxFovQNjdBY\nU0Vndy8Hj51iyaImTpztIhqLIwgCa1YsZmh4DLPZRE/fICVFHjatXsELO/dQ5C7gjlvX8cLOPRj1\neh6+exs269xX4xRZRsmkGPf7eerlXSiSRJPXzVtnL6DIEhtrPNS5DAiiAKowO8pDEBD0ekSdAVGn\nR9DnHucgjuI7r51EVVUMOh1Oq5FANIkgCGxpq+RE/wQWox6DTkfveAidKHDn4lq8bhuGeawePXeo\nm/FIAq/LxvtXaj1/Y2GtKlhfUsCBnlH84Ti3NJaRyGTpHgvRWl5IZaGDdFbGoBeJJDI4LIbrsrgy\nPBXDbNRRaNeqjoqi4i2YMd5KZSV+uKcTUCmwmYmlMkiygsmgo6POx1f+1//P7ZtvJ6OqmPQ6THod\nkVQGURB48pbGWeQrm5PvGnQifYEoaUmhscT5nuIpMrEQY0d34z+xj1RwHFFvpLBlBWUd2/JVIUVV\n6Z6IcGQgwPGhAImsjNWop6OqiPV1Je+5p3EBC/htqIqcJ4zTFUqzuwRzQRGZWIjRw7uQ0olZstjK\n9ffiblhMuP88J3/09zPGYTks+sCfU9SykqnuE5z56f+LoDOgN8+Qyoa7P4ajrJboyEUmTh+4pIJp\nRWeyUFDTgt5sQ86kUCQJvdly2X7yBSzgDxVzXiHcs2cPL730EgcPHmT16tU8+uij/OM//uM1vejN\nhMICFz0MYjIaGB2fZGIqiLekCMNNIIu9HGRZ5he/2UUqnaa1sQ6HzcrKxYtu2Hymb+IEQeDkuW6G\n/RMM+ydYsqgRp92GkJPuFbpdLGvbhiwr/OI3u1CBx99/J3abVav6XMcb6sqyUla0LyIQDFHhK6V3\nYBiAQ8dP03VRI6XRWByPy8XYxCQVvlIu9GuLAksXNfGhB+/mTNcFvvvTVxBFkRXtLZzK9c7Jknz5\nF51D+CcD7Dt0nKoyLx1L21hUX0trYx1Do37++QfbMej1VFdo8rpMJst4YGoWIZwKhTneeZ766kqq\ny6+fDK/A6WBZazMAHUvb6FjaBkC5t5hDJ85QVe7j9TcPA+ArLeZPPvoB7FYrer2Ov6z7SH6cTz3+\n4DXPpW9oBKPBQFnp1fvkRJ0O0WJjYCpGQgLQ46isZ43bh6fASWtjHf/63Euk0ykevn0jpQV2lGwG\nJZvRJKrJmHajlHvMxCNadIeqsr8/RFZR2FBTiE7UPhei3oCg01/yqH9XNzK1xS56x0PUlrhIZyUC\n0SQWo56jfeMEY5qLb7lbq3jLiorVrJ9XMggwFU/lH49c9BNNZVld78XrsjEYiHJmaBJRFDDoReoK\nCqgr0aoUsVQGq9HAztMD9I6H8BXYef/KK7tGvhucHprkjfPD2kJEvY8DPaOAytb2aupLXAiCgNmg\nZ1NLOf2TEZZWl/BG1zCBaBK7yUiPP4jR4cFq1JFJS9hNBjbWl3J6NEhdkWMWGRyNJHjh9BA6UWB1\nVRH7erV+r5Qks7T83RmjqapKZLCb0cOvMdn5FqoiU1DbStWm+ylsWYneNHtxRBQEmktcNJe4+MCK\nGs6OhTk0MMkbvX5294xRW2hnXW0JK6uKFiSlC7gmCKJuxpTnt2C0F1B925Wv2a7qZjZ88ftalm4q\nkSeW1iLtu8fiKaV68yNaBfMS0inmzMuSU35Gj+zSpP+XYMUf/R16sw3/iX1c+PWPARANxrykdfGH\nPofJVUig6zhTXcdyZjw5UmmyUNTagag3atfrbCZ3nFnL3V3AAhZwdUL43HPPcc899/DlL395Vh7h\n7ws2r+uguqIM/2SA3QeOAGC1WG5Yxe1q6OkfymfnmU1GIrE4r+x5kzs23XLDSWxNZRmd3b1YzCYG\nh8fweYv55GMP0NM3wOsHjsARaG2qQ8q5sQ2OjF1XgjINURS567Z1gFZRPd/bTyKZorWpnp6+QRRV\nJZlK8/pZjawkU2nsNiuJRBJZUXjptX15t0ZFUfLyVhVY1tZCS0Mt6UyWZa1N133uk8EQp8/10Fhb\nRblXi2l5de9BBoZHOX+hD7PZxK9f24dOp6O+ugJFUUhnMniLC5EkCYfNRmPN7Fy3517ehX8ywOET\nnfynT314zg2TqsvL6OrtZ9g/gdNuIxKLU1XmnTNJ8/HO83kDoLtuXYfJaKSloeaqiwxNddUcOX1W\n68cbHmNwZAyb1YLRaCAc1XoIe0Ymqa6tu+ocFFlmx579vL73VVRVxeSr54GNK3KS1ajW65OKIaeS\npKNhVEXrn8tDABQVdGKeOG5uLGJ9fTEWswlJFRieilLssHJqcIJgLEWh3UKzz41BL+K2mdhxegCT\nXsedS2ryRjJzjS1tVXSNBnHbTBy5qJEinSiwqaWC0VAMRVVRZJW+iQijwTiVhQ5ODkzQORyg1GXL\n9T3CaCh+zUH10/JUVVWZiiWZDsrsn4iw59wQVqOe+1c24CuwU1XoxGY28P4V9YxHEgwHYxzvG8dg\nddBY5MTjtOBzahU3vSgwFklSYjfzyrkRsrJCqcOMrCjICvhjyfwcZOWdBTepcIDIYBeRwR5CF8+Q\nnBxFZ7LgW7UFX8c2rIXvTp2iF0UWl7lZXOYmls5ysH+S/b1+fnK4l+dPD3LXonI21Je+p2rlAhZw\nrRAEQTO7MVn4bdG9pdBL1cb7rnhsSftaStrX/laVMonZo302XFVN1N35oVxLQDJXqUwiGrVWidTU\nGIHzR5FSSVQ5mx+3sGUlAENvvMjwgZenZ4rOZEZvttLxZ/+AIIqMHN5JZKA711tp0Yx5rHZ8K24D\nIBkYQ5Ey6Ey5/kujZaGfcgG/F7jqXcM3vvENhoeHOXz4MOvWrSOVSiFJEnb7zddn97tClmV+/OyL\njPgnaG2auelz2m9stt/lMBkMsWv/IVx2O26Xk3QmQyqdyTuMlntL8tWaG4Vlrc3UV1Ww++DRfC/e\nJx9/AMMlkREel4uGmkpkWZmX+dqsFj752AP53512G4FgmOoKH4MjY6TSGWxWCzWV5RR7CnjmpR2A\nRm5bm+qwmExsvmUVq5a0oijqLJOaucDPX9pJIBji8KlOPvrQPZy90JeP3LBZLfgnAkiyjCTL+SxF\nk8nIqiWtbOhYzthEgFgiSSye4KkXXsFiNucJoMGgnxdnubM9Fzl2Rovw6Fjayor21nyUx1xgmrxl\nshLP/HondquFYX8rgiDQNzTClnUdBMNRTpztYtXiVprqqujqHaCyzMuffvQxAL63/ZcAJJIp7FYL\nLocdRVHwuJz0DY1QU1FG//Ao4UiUtqZ6Xtt/iKFRP1vWrabrYj+nz/dgMpo0SakgIFpsOCquXPFS\nJAlFyqBk01rlMVeBlJIJ5HQcKVd9NCQTpIMB0pkMnf2aC+Et1W7qmz30TsV49XiXVqUvtBEIJxAQ\nuDA8RovPgyDqctEhujm7YaktdlFb7CIYT3FyYBJZUZBkhR2n+6kotFPutqPXiZwfnSKazGAzGfKk\nzx+Oc+uiCs6NBGn0FlwTGQRYUVOCrKhYjHqWVhVhNRtQFJVUViIryYQlmbd6xzg3PIVOFLhnWS0n\nBydRVJVFZYWa9F2RKbIaOT0Womciis2k55xfW4CLpbOM5xxISx1mShwW9KLAulpNrpmRFNp9Mz1f\niiwR9w8SGezW/g31kIloOZeiwYSzop6KW+6muG0NOuN771W1mwxsbfKxpdFL10SEl84M8dSxPt7q\nn+RT65oosPz+LeQu4PcfV6pS2kqrsJVWXeEoKF97V95tVZGySGmth1I0aJ+x4va1WIvLtN7KXJ+l\nks3kr5GZSJDocA9SWqtwqoqM3urIE8KLO58icO7IrNe0Fpex8o+1SJHeV35KYnJEk8LmCKXZU4Jv\n5WYAwgNdqIqSk8vmqpimBfnrAm48rkoIn3rqKbZv3044HGbHjh2MjY3xpS99iR/+8IfzMb85RTga\nZ8SvOeVNBSOsXNyKJEk019fc2IldBrv2H6I7J3d88K4t9A4MMV1hEEWRksL5zW+8Ehx2G4ZL8gVP\nnu1mIhCkrqqcAqeTtSsWX3Om4LWgwldKhU8zrfj0Ew/jnwjw7Muv0dndS3lpCQa9nqwkUexxc/vG\ntfnj5tqwZxrGafKm0/P0izsIR2OYTUbWrVzCuQv9qKpChbeETDbLsrZmKnyl/Gb3fn696w0qy728\nsvtN9DodjXXVJFNpkqk0t29cg769haoy37zkVBYXutHpdMiyTCYjceDoSdauWDJnpHDt8iVkMllS\n6Qz/p707j4+qvPcH/jln1uwkgSQsIRAIohIUURHFIkGkGhFluegP0arU1qutlC4WW6niRW+9pV6K\ntkq9WkVqU6VCBZcqFEEtoFUM+56NJJOQZfbtnPP8/jiTk8QkJEomCczn/XpFc5aceYZnziTfeZ7n\n+y0+oNcgrG90Re4RYNvOz+GorYMmBD74aCf2HDyCsspqxMfZ8e0pV+GfH3+K1JQkjD0/D0IIrHtn\nC8xmMwomXop3tn4MAPjWhEuwbefnAPTpqXsPHQOgly2pqK4BAEiQUDj1agRDIcwtnHbaNstmfeoo\n7F1b97Xjsy/hOLkDEAJ1A0bjvOyBOLZ7H6zuMkBoGJSTjcpAKcwSMDQrA7IJeoAZDkEoYQhNz1Qq\nSfq4WZsPBoRApM6FHkCaWgaTzd+jad9Xfj41wY65E0bBF1Lw7pcnEFJUlNW58R8TRqHeG8D2g/q0\nbVUTuCJvEL4oqUFuRgpGD0rH6EHdkxnZZjFj0nmDje0JI/TZB9VOLyrqPUiwWaCP8wuomkBxWS1K\nTumZWtMS7BianoRtHifKG30oj9SszIskkZElCbnpSahy+qFoGkZn9muVafT8zH5QAl44jxUbwZ/7\n5DFoYX3U0pachpTsPCRHvhIys7v9D0ApMqV01IBkfFZeh6J/n8CqD/fj59PG9vhUYqK+QDZbYDVb\ngBZljpIGDUfSoI5LRw0rmINhBXMARLJaK2GooYBxPHvSDAwYMzESTPqhBv2QLc0fughNRdjnRqDe\nERnh9CMxM9sICI+9swZeR1mrx0zJGY2xdy4BAOz98woofm9kDaUeNCYNzkVWJCCt3b8LkmxqDjjt\n8bDEJ8Hcxd8lRB3pNCBcu3YtXn/9daMO4bBhw1BfXx/1hvWE1JQkXHT+KJRUVCJzQBr+vUevTZfR\nP81YD9VXZPRPw5ETZYiz27Dri7046dD/CL1t5reRmpLcYwFLVxRceTlSU5Jht9uw8YNtAICsAf1x\n601X9nLLWktKiNdr+0Wmh1osZtxz6y2oa2zEiKFnVsrkm5pbOA2HjpdiePYgvL7pg0i7LNh35Dic\nLg/qG51GqYy//P09JMTZ4XR74HR7EArrWeIUVUVW/zSUV1bDbrPi/JG5SEzouV8WWQPS8f3b56Ch\n0YU/b3gHgJ4B9fZZhVF5PJvVYgTvw4YMQk1dPS4dez5e3/QBak7VI2/YUMTZ7TheVoHhQwejrkEv\n+h4KhfGvz75Eg9OFBqcL986fjX8XHwAAKIqCyppa4zGaRiEBvcZqWr8U1Dc6kZszBCnJSdh3+Bgu\numAUplx5WVSe46BBmTBH/uiocYfw8dvbkZqSjHEXX4TUfsmYdNk4TNM0fXSyndFAoWnQVAUi8tX6\ne1X/XlGghkN60oZwEJoSjqydDOrrgUJBY7tZc2BojXwlSGH4QyEkmywo2r4HQVVDdmo8RgxKxrAB\nyRiQEocR/UdEJRFPe7JSErBgkp6p2BsMIxBWYTObkJfVD+X1Hj2zZyCEE7VO2JLTEFT1f0ezLGHc\nkHTkD0qFxSQjNd6G3P5JEEKfFhv2ueEsPQRn6UE4Sw/B6yhHJB8/ErOGImvcZD0AHDISth4sKC5J\nEi6LrCP84yeHccDRiLGD+sYHhkRnE0mSYLJYYWoR8HUWUI749u1t9jVlcAWA8275np7tOjLVVQn6\nW9XltSWnQmgq1IAPQVcd1IAfQlONgPDI3/+vVYAKAJkXX41RNy2EEAK7/ncRZIutxQhlHNJHj0fm\nRZMgNBUnd7wHU4tjJlsc4lIzIiVF9A/MuK4yNnUaEFqt1lZrBxVFOc3ZZxdJ0j/RB/Rpbl/u10cX\n+lJR+iaTJ4xH3rChSElKxJZPPsVJRw3sNiuyBvQ3smX2FRaLGZdfPAZhRcH2XZ/D6fJEtT7imYiz\n2/D/br4eB4+ewJGScqx754Mer+3XUmKLJEG33jQdh4+XYkRONnbu3oMv9h406jMCerKYC0florzK\ngcz+6Zg2aQKsFjOSExMwYVw+Jo6/qFeeA6CXbrFZLUaZlKQemoadP3qk8f1dc28y1odqmgaXx4uU\npETUNTrx5b5DGDEsG9W1daiqOYW0fil4b+snUFQVw7MHIzUlGQVXXop+ycnQNA1XXXYxcgYPRKPT\njcsuHgNZluDzB4wSNTdNmxzV6bhDB2XhPxfoGcT+uul9AHqQPf/m65EcacPp1kxKsgyTbAUsZz59\nUAgBEQki2wSZmoo7LwngpKMW8RYTXn3vI1g0DXJ8Iq7Mz21e9xNyQVMUNGVu1S8MQGoumi1Fsrc2\nZXGVTGbI8plldE2wWXBd/jBj+/9dNRpCAHVuP445nIAQuCAjBRNGZMIkS62KwStBP5wlB9FwfC+c\nJQfgq9VHPWWzFcnZIzF08s1IGXoekgYPh8kavdIvXVXl0qe3xvfB32dEsUQ2Nd+DCRmn/7A578a7\nT3t83PcejwSSTWso/bCn9NcPCg1po8ZFyi7pU2L9DTUIe/WZEErAjxMfFLW5Zs41szD0WzMRctVj\n18rFMFntkXIhdpiscRg88XoMuOAyhDyNqPjkHWNk0mSzGyOYtuQ0fYqu3wuTPQ6y2dojS1So+3Ra\nduKpp55CcnIy1q9fj0ceeQR//vOfMXLkSPzoRz/qqTa2qzsL0zc5dKwEqqbh/JHD+/QLuakGXUb/\ntD41MtieQDCIugYnBmUO6NP/pju+2IMtH+8CAFxzxaW48tLeC6Y64nR7kJgQj4oqB7bv/BzDhgzC\npMvHIawoMJvaTuPrCxpdbtScqkfu0CE9Ml31mwgEg/j3ngNGUqneLOPSFUdKyrBtx+fIzRmCKRMv\n7e3mnNbu/YdQfrIaEy+9CP1T+7U6JjRNH3FUIyORSljP1qqE9WQ8AR/UkL/5+6AfWigATYkkiujm\nQLLRG8S9v1yO13/1E8BqhhACXkcZ6g59gcbj++A+eQxCU/UAcOgo9Bs2Gik5o5E4aHirP/h6W703\niA17yvDv8jpcMiQNd12R1yffG4ioZwkhoIWDkXWVejCpBn2w9xuAuPQsRGq4UQAAIABJREFUhH0e\nVO76R2S/3zhv0OXXIv28S+CpLsWXLy1vkwH2vFu+h4z8K+EsPYjil/W1lJJsMgLGkTfehdTcC+Gp\nKkHFjnf1kUlrnDEtNn30eNiSUhHyuhB01jXXt7TZIZksfP/qoqiXnfjJT36CN954A6NGjUJRUREm\nT55sTB891/TFtYPtMZlMGJWb09vN6BK7zWZky+zLcocOxr/+rY+0jhjWO9NFO9M0GpUzeCByWky/\n7O3ssqfTLzmpz39oYbfZkDN4oD59GED2wO4vjN6d8oYNbZNJtq+6+ILzOkweJckyTDY7TPh6o2nf\nJJDURyRPH0jaTWaoAR/89Q7UHPoUp/bvhK+2EoCExIE5GDzx20jNzUdy9kgjRX5fIYTAsVNufHKi\nBp+V1UECUHjhEFw3ehD/mCIiAJEpsFa7PoMhKbXNcUt8InKumdXhzydm5eCqJauNDLBNI5G2ZH1K\nuj01AyNuuANqZG2lEtIDSku8/jdA2OeGu6J1wh79usNgS0pFw5EvcfjvL7Rus2zCuO8+hoTMbNTu\n/xSVu96PBIxxRmA55KobYIlLhLf2JAL1jkiwaTemxFoSkjgNtgu6XJi+pUWLFvV6LcJojBBSbNM0\nvdB0b00Xpd7lD+jrMuLsvT/dj7pfVwLJ6+fchp8PdSPsdSFxUC7SR12CfsMvgCWuacrzV0qFRH59\nSrKsj0w2JeQxmSHLJkgmOWrZA1VN4ESdG3sqG/DlyXqc8gZhM8u4YlgGrj1vIFLj+9ZSAiKiljQl\nBCUYgNkeD9lkRtBVD09VSfPoZOT/g6/4NqwJyTh14FNU7vrAONZ0/PIHV8Ca2A+lW/+Gsm0b2jzO\nxIeeg9kWh9IP16Pmy48iayj10UuTLQ7n3XIvJElGw9E98NdXt1pjabbHI3HgML29qtJuUrW+Iuoj\nhO3ZvXv3GT0oUV/EQDC2MRA8t3VlRNJbVYK4iy/A5OV/RfqocQCa1kwqLQJIRQ8qVUUPJsPhyHRW\nP9RgEGo4AC0UiPzBEoQQaqQBLf6IEJH/COiZW02yMa1Vz/Bqbs702uLnfCEFh2qc2FPZgH1VjfCG\nFJgkCXkZyfj2BUMwbkgabH10ajYRUUuy2QqruXlduy05zRhtbE//8y9D//PbJm5rGtcaeNm1SD9v\nvLG+Ug8YA0ZZn7j0TCRn50WOBxB0N0A01hijhzV7P0FN8Setrm2OS8DEn/4eAHDwb39A3cF/GyOP\nTQl5Lpj3IADg5M5/INh4qkVAaYc1KRVpefoSJH+D/lhNx/paqZGozjXbtm0bli9fDk3TMHfuXNx7\n772tjj/xxBPYuXMnACAQCKCurg6fffZZNJtERETUPiEw+VdrET+oeUq+JEmQzJZvPE1UU1UIJawH\nkS0DSkUPKJVgEFpYn+JqZHMNBaD4PPD4Azje2PxV6QlBAIg3yxidHocLB6Rh9IBExNntkM1mSEKF\n0CQWyiaimNH0oZk1IRnWhI5rRWeMmYiMMRM7PJ53490YPu22SDAZgBL0G9NaAWDABZcjPn2g/j4d\nCTZblvtwlhxA44n9rbLAJg4abgSEB15/Bt7qUuOYbLEiNXeMEVAe2vBHqAGf/sGlLQ5maxwSsoZi\nwIUTAAANx/ZAks0tpsPa9dFVc/fUmu0wINy3b1+7+4UQXco0qqoqli1bhpdeegmZmZmYM2cOCgoK\nMHJkcxbAhx9+2Ph+zZo12L9//9dpOxERUbexJKUgPj2rW68pm0yAydSltZJunw8Hjpdh77ES7Dta\ni5KqagihrxMelT0QE8cPwvnZWRgxMB2ypkIJBKAGPFD8PihBDxS/H+FAIzShQYLUPMO1aWqrSa9/\nqf/fYiTeISKKde3VrWxpwIUTjOCsPU2BnRAa1FAQatAPEVmKBADDC+Yi6GnQP/wzMsQ2Z+BXg34E\nGk+1mjKbPnq88ZgH1/0eSsDX6jEzLpqE82Z+9xs/55ZMjz766KPtHfjxj3+Mjz76qM3Xxx9/jNTU\nVMya1fHCUwD48ssvcfjwYSxYsAAmkwkulwsnTpzApZe2nxXvySefxIIFCzB0aNeSJbhcLrzyyiuY\nOXMmMjIyIITAkSNHIEkS4uLioGkajhw5AlmWERcXB1VVcfToUZhMJtjtdiiKgqNHj8JsNsNutyMc\nDuPYsWOwWCyw2WwIhUKttoPBII4fPw6r1QqbzYZAIIDjx4/DZrPBarXC7/fjxIkTsNvtsFqt8Pl8\nOHHiBOLi4mCxWOD1elFSUoL4+HhYLBZ4PB6UlJQgISEBZrMZbrcbpaWlSExMhNlshsvlQmlpKZKS\nkox/v9LSUiQnJ8NkMsHpdKKsrAwpKSmQZRmNjY0oKytDv379IMsyGhoaUF5ejtTUVEiShPr6epSX\nlyMtLQ2SJKGurg4VFRVIT9dfjKdOnWq1XVtbi8rKSmO7pqYGVVVVSEvTh/MdDgccDoexXV1djZqa\nGqSm6guVq6qqcOrUKWO7srISdXV16NdPzzR48uRJNDQ0GNsVFRVobGxESopevLy8vBwul8vYLisr\ng9vtRnKyfqOWlpbC6/Ua2yUlJfD5fEhK0hcvnzhxAoFAwNg+fvw4gsEgEhP1xCzHjh1DOBw2to8e\nPQpFUZCQoK8VOnLkCDRNM7YPHz4MIQTi4+ONbQCIj4/na4+vPb72zpHX3upnV6GgYBrSBwzQX3u1\ntaiqrm5+7dXU6K+9yGur2uFATW1t82uvulp/7UVeW5VVVairr29+7VVW6q+9yGvr0NFj2PHlPmz/\ncj9e3fQBXv77P/DR7r0oOVmNQQPSccl5uSi8cjwevH0Orr3iUiTH2ZCUnIwBA4fAmpSKapcPSEzF\nwFFjkJw9Cg1yPOKGnofssROQPHQUalULLAMGIWP4aMT1H4STTg802YrE+HhooSCOHjsGv7MBVi0M\nxefF0WMnEPS6YVFDUP0+HCktg6aEYbfqo6PHT1YBkoQ4mw1CCBw/WQUJEuJsVmiahuMnqyBLEuw2\nK1RVw4nKKphkGXarFYqq4kRlNcwmE2xWC8KKgpLKalgi26GwgpKq5u1gKIzSKgesZjOsFgsCoRBK\nqxywWSywWszwB0Moq3bAbrHAYjHDHwiirLoGcVYrLGYzfP4Ayhw1iLPZYDGb4PUHUO6oQbzdBrPJ\nBI/Pj3JHLRLsdphNJri9PlTU1CIxLg4mk2xsJ8XHwSTLcEW2kxPiIcsynB4vTtacQkpCAmRZQqPb\ng5O1p9AvMQGSJKHB5UFl7SmkJiXqr0WXG5W1dUiLJNmqd7pQeap5u67Rheq6eqRGtk81OOGob0Rq\nsv4+UdvQiNqGRvSLJBerqW/EqUanse2oa0C9042UJP19o7quHg0uN1IiJX+qTtXD6fYgObJdWVsH\nl9eH5EiN2pM1p+D+yrbH50dSZLvCUQtvIIik+Dj9fbK6Bv5gEImR7bKqGgRCIWO7tMqBUFhBQpz+\nQUhJZTXCSvP2iZPVUFUV8ZHt4yeroGkC8ZEyWscqKgEhjLJaxyoqAYCvPb72zoLXXjUsVhsSklIA\ni8147fXLGgJb/8GokxPQP/dCZI0eB1tGjvHaGzJuEtLGXo3w0IuQO3kmRhTMRuKIfJRV18JmsSBj\n9Dgk5Y1HYMAIDLzgUvTPy4dt4AjUBAXsZjPSRp9ZdvwORwjXrFlzRhd2OBzIymr+pDUzMxPFxcXt\nnnvy5ElUVFTgiiuuaPd4UVERiopa104JhUJn1D4iIqKWor2mw+sP4FBpBT74fB/2HStBaaUDAoDV\nYsboYdm4/srxGDlkIK4afzEsZjPKysshy/LXziQsR6a42pL6IS4+HomZeubcVNWMxMREZGbomZ9D\nx44hMSEB/fslQwsH4Tt0GEkJcUhPSoAS8KEGh2CxypAlCWGvG8HGOgSUAPwhHwQEgg118Id9sIeT\nAElG2OeBardAs9sg0DcTLxARnQ0kSWr1OykxKwem1BC88ekYkJ6G+Dg7/IEg/KfqumWZwDfKMtoV\n77zzDj766CMsX74cALB+/Xrs2bMHjzzySJtzV69eDYfD0e6xjjDLKBERdacrLxmLT/6xBbB1T4bO\nYCiEAyfKUHzkBIqPHMeJk1UQoikAHIoxI4fhwtwcjBw6uE+Xj2nSlKlVDQcjmVpD0MKhyNRVNxS/\nF2F/pNRHwAchNH19T+SvDAEBWZIhWfSAVbZY9WmrXPNIRHRGeiXLaFdkZWWhurra2HY4HMjIaL8e\n3dtvv42lS5dGqylERESdsp4mw11XCCFQVl2DT/cdQvHh4zhYUg5FVWE2yRiVk41506cgf8SwsyYA\n/CojU6ut8/WQQgg9M2s4CC0UgqoE9UQNfi8UnxthrxNhn7fFmkcgUssDkCTIJrMeMEZGO7nWkYgo\neqL2Gyk/Px8lJSUoLy9HZmYmNm3ahBUrVrQ57/jx43C5XBg3bly0mkJERBQViqpi/7FSfLr/ED7d\ndwg19Y0AgOGDsnDDpMsxdlQuLhieA7utezLBnS0kSYLJYoXJYgXiOz5PCAEtFDQyrKqhANSAH4rf\nhZDHBcXvQcjVAE1Vmi6s/18TkEwmPWi0WCCbrXqpjj5aI4yIqC/rNCAUQuDvf/87ysvL8cADD6Cy\nshKnTp3C2LFjT39hsxlLly7FwoULoaoqZs+ejby8PKxcuRJjxozB1KlTAQCbNm3CDTfcwDdxIiI6\nKwghcLCkHFt2fYF/Fe+HLxCE1WzG2FG5mD31aoy/YJSRsIFOT5KkLo06ako4ku5dr/WoBv0I+zxQ\nPC6E/R4oPk8k3btoDhqFgNRyiqrZqmdZ5RRVIqJWOl1D+Ktf/QqyLGPHjh1455134HQ6cffdd2Pd\nunU91cZ2cQ0hERF1p2uuuQZb33ijwzWE9S43/vnpbvzz092orK2D3WrBFWMvwBX552NsXm7MjQL2\nNULTjBphajgILRRE2OeD4nMi7HND8Xmg+L16KnjjQ+gWU1TNFkgWK0ycokpEZ5moryEsLi7Gm2++\niZtvvhkAkJKSgnA4fEYPSkREdLaoPlWPdZu348N/F0NRVVyQm4NbCibhyosuQFw3JaChMyfJMsz2\n+FbFor9KCKEnxgn6oYaC0MJBKAG/HjR6PVD8bn2KaouC1E11HI1EOJamkUYGjUR0bug0IDSbzVBV\n1ZjSWV9fD5nTLYiI6BznCwTw2rv/xHuffApZkjF1wjjM+NZEDBqQ3vkPU58kSRJMVhtM1tMH8poS\n1oPGYABqOAjFr480hjxuKH43gg310DS1xXKXyEhj09TUyDRVTk8lorNBpwHhggULcP/996Ourg5P\nP/003n33XSxatKgn2kZERNQrDhwvxdNr16HO6cK1Ey7BvOuuQVpKcm83i3pIU3ZTS0LHfa42jTQG\nA0YynLC3EWGPC2GfG0G3E0JokbObMqjKkM3m5pFGlt0goj6g04DwpptuwoUXXogdO3ZACIHf//73\nGDFiRE+0jYiIqMf987PdeLZoAzLTUvHED+7BeTnZvd0k6oOMLKqJKe0eb51BVf8Ke71Q/JGyG143\nwoFGCGgAJAghIAFGIhyTWQ8aJbOZifeIKKo6DQgbGxuRnp6OwsJCY184HIbFYolqw4iIiHrajr2H\n8Mxf1iN/5HD89M55SIjrvOYeUXu6kkFVCGEkwtHCeq3GsM+DsNcFxedC2OuG4vTDyJ4qAAEBWZab\nRxktNshMgkNEZ6DTgHDWrFmoqqpCcrI+bcLlcmHAgAFIT0/H448/jjFjxkS9kURERNEWDitYtW4j\n8oYOwZJ7/h9s/OCTokySJJhtcTDb4jo856vZU9VgQA8UfXqtxrDbCU0JGQGjMTW1aZTRaoNsjlrZ\naSI6B3T6DjFp0iRMmzYNV199NQDgo48+wvbt23H99dfjsccew+uvvx71RhIREUVbbX0DhqgqFt8+\nm8Eg9RldyZ7alARHCfgjU1M9kSQ4jQh73FBD/sjFJD1ralMCHCNrqoXTUoliWKcB4d69e7Fs2TJj\ne9KkSfjtb3+LJUuWIBQKRbVxREREPaXR5caUS8YiIy21t5tC9LV0lgRHU1WoQZ+RAEfxeRH2NiLk\n0dcyhpwNzSdLAIRoGzAy+Q3ROavTgLBfv35YvXq1sYbw7bffRkpKClRVZfkJIiI6ZwghMHX82N5u\nBlG3k00myPFJsMQntXtcaJqRMVUJ+aEEfFA8jfqUVI9Tz5gaSX7TNC1VMunZUk0WvcwG6zISnb06\nDQh/85vf4Nlnn8X9998PIQTGjx+PFStWQFVV/O///m9PtJGIiCjqZFlG7uCs3m4GUY+TZBnmuASY\n4xLQXoVGI/lNwBdZzxhAyOOE4nUi5HEi2FAPoamAJEHoEWMk8Y3NCBolJr4h6rM6DQjT0tLwyCOP\ntHssJyen2xtERETUG6wWC0yc+ULURmfJb5pLbOhrGJWAXy+r4W5E2OdCyNUAVVUgNdVjhF5eQ7Za\njaCRmVKJek+nAWF9fT3++Mc/4ujRowgGg8b+V155pdOLb9u2DcuXL4emaZg7dy7uvffeNue8/fbb\neOaZZyBJEkaPHo0VK1Z8zadARER05iwWZmIk+ia6UmJDDYdajDD6EfZ5EHI3IuxpRNjdCFUJQ09r\noweNDBiJek6nv/1+8pOf4Prrr8fWrVvx2GOP4c0330RaWlqnF1ZVFcuWLcNLL72EzMxMzJkzBwUF\nBRg5cqRxTklJCVavXo3XXnsNKSkpqKurO7NnQ0RE9A2l9Wu/wDgRnTlTZOpoR9RwKLKO0d9OwOiE\nqoQYMBJFSZcK08+dOxevvPIKLr/8clx++eW4/fbbO71wcXExcnJykJ2dDQAoLCzE5s2bWwWEf/3r\nXzF//nykpOi/hNPT07/p8yAiIjojifEd14IjougyAsbE9j+YaRUwhvRajCF3I8JeV4uAsal0BgNG\noq+j04DQHClmmpGRga1btyIjIwPV1dWdXtjhcCArq3lxfmZmJoqLi1udU1JSAgC49dZboWkaHnjg\nAXzrW99qc62ioiIUFRW12seSF0RERESxobOAUVPCUAK+rgWMEiBBigSMkaCRASPFsE4Dwvvuuw9u\ntxsPPfQQHn/8cXi9XixZsqTTCwsh2uz7atFTVVVRWlqKNWvWoLq6GvPnz8fGjRuRnNy6js68efMw\nb968VvsqKiowderUTttBREREROc22WyBNTGlCwFjAGookvTGo2dJDbud0JQQ0CLpDSSpdS1Gk5m1\nGOmc1WlAOGXKFABAUlIS1qxZ0+ULZ2VltRpJdDgcyMjIaHVOZmYmLr74YlgsFmRnZ2P48OEoKSnB\n2LGsA0VERERE3ePrBYwBKH4fwl5n5MuNcKCxuRYj9IEPvbRGJGA0WyGbmZiKzk6dvnLLy8vx6quv\n4uTJk1AUxdj/3HPPnfbn8vPzUVJSgvLycmRmZmLTpk1tMohee+212LRpE2bNmoX6+nqUlJQYaw6J\niIiIiHpCZwGjUYsxMiVVDerTUhWfOxI0eqCG/ECLaanQBCSLWQ8WLVaYzBbWY6Q+qdOA8P7778ec\nOXMwZcoUyF9jqNxsNmPp0qVYuHAhVFXF7NmzkZeXh5UrV2LMmDGYOnUqrr76anz88ce44YYbYDKZ\n8LOf/Qypqaln9ISIiIiIiLpTZ7UYAUBT1UjimwDUcKS8htcNxetE2Nu6HqOAAAQgyZGpqeamkUZO\nTaWeJ4n2Fvu1MHfuXLz++us91Z4ua1pDuHnzZgwZMqS3m0NERGe5a665BlvfeAOw2Xq7KUR0jlLD\nIWiREcbmqamNCHtcCPvcUPxeCGgQQoIkARCRjKlNU1MtVkgmU5u8HBTbBk2be0Y/3+kI4R133IFn\nnnkGV111FazW5voxF1544Rk9MBERERFRLGnKlmpJSG73uBACWigINdRiaqrPg7DHibAvMjU1GGj+\ngUgeHNnSIgGO2cKAkb6WTgPCw4cPY8OGDdixY4fx4pIkCa+88krUG0dEREREFCskSYLJZofJZu/w\nHKFpxtRUJeSH4vMi7GnQM6Z63Qg5GyIXg540VdLXSJqaajJaLD3yXOjs0WlA+P777+ODDz5oNTpI\nREREREQ9T5JlmOMSYI5LQHsT3IWmtSqxofi8CHkaI0GjC6rTD0QGeYQm9HWMFmtzwMhsqTGn0x4f\nPXo03G430tPTe6I9RERERET0DUmyDEt8Iizxie0e15Pf+KAG9GmpYWOEsQEhtwtaOKgHjAKIZL6B\nyWKFbLVCttggM1PqOafTgLCurg7XX3898vPzYWkxxNxZ2QkiIiIiIupbZJMJcnwSLPFJ7R7XlDDU\noB9KwA815EfY22JKqtsJTQnBKK+BSNKbSLBoiiS9obNLpwHhD37wg55oBxERERER9TK9DIalw8Q3\nmhKOTEn1G6U1Qh4nwp5GvbSGouh5RyQ9SY4sm1plSeUIY9/TaUB4+eWX90Q7iIiIiIioj5PNFlgT\nU4DElHaPq+EQ1IBPX78Y8CPkcULxuBD2uRB2N0JVwpCMEUYNiJTVMEVqMUpmM7Ok9rBOA8Ldu3fj\n8ccfx/HjxxEOh6GqKuLi4vD555/3RPuIiIiIiOgs0VRaA+jX7vHmEUa9FmPY64HicyLs1bOkKk4/\nBIQeNDbVYjSb9YDRatPLashyjz6nc12nAeGyZcvw9NNP48EHH8S6deuwfv16lJaW9kTbiIiIiIjo\nHNLZCKOmqtBCAX0NYzgAJeCD4nUh7HEh5GlE0O2EEBoACULPfANZlltMS2Xim6+rS3llc3JyoKoq\nTCYTZs+ejVtvvTXa7SIiIiIiohgjm0yQI2U12iOEgBYKQg3pWVKVgL6OMex16V8eJ7RwyCitASEA\nSdLXRjYFjWYLp6W20GlAGBcXh1AohPPPPx9PPfUUMjIy4PP5eqJtREREREREBkmSYLLZYbLZOzyn\nKVNq07RUxe/Tk95EpqWGXA16oNgyW6rJrJfXsFghWyyQ5NgZZew0IHzqqacghMDSpUvxpz/9CVVV\nVVi1alWXLr5t2zYsX74cmqZh7ty5uPfee1sd/9vf/oannnoKmZmZAIDbb78dc+fO/QZPg4iIiIiI\nqPNMqULToIYCRi1GJejT1y96nQh5nAg21EMIFZFFjACgl9domS3V3KWJlmeFTp/J4MGDUV9fDwB4\n4IEHunxhVVWxbNkyvPTSS8jMzMScOXNQUFCAkSNHtjrvhhtuwNKlS79ms4mIiIiIiL4+SZZhtsfD\nbI/v8Bw1FNRHGUMBvbyGz4OwR09+E/K4oIWDLaalApCaAtHmgPFsSX7TYUAohMAzzzyDV199FQCg\naRpMJhNuv/32LgWGxcXFyMnJQXZ2NgCgsLAQmzdvbhMQEhERERER9SUmqw0mq63D45qi6OsYW01L\nbUDY40LY50bQ3agnv5EkPWCMZEttGmE0mS2Q+kjymw4Dwpdffhmff/453njjDSOoKy8vx6OPPoo/\n/elP+M53vnPaCzscDmRlZRnbmZmZKC4ubnPeP/7xD3z66acYPnw4lixZgoEDB37Dp0JERERERBR9\nstkM2ZwES3xSu8eFpkENByM1GQNQgwGEvE4oHifCXhdCrgaoqhJZxRiZmirJkC0WmCy2Hp2W2uGj\nrF+/Hi+++CLS0tKMfdnZ2fif//kf3H333Z0GhEKINvu+ms1nypQpuPHGG2G1WvHaa6/hoYcewiuv\nvNLm54qKilBUVNRqXygUOu3jExERERER9QZJlmG2xcFsi+vwHDUciiS/8UdqMnoR9jbqXx4P1JAf\nzYlvdLIxymjrtmmpHQaEiqK0CgabpKWlQVGUTi+clZWF6upqY9vhcCAjI6PVOampqcb3//Ef/4Hf\n/OY37V5r3rx5mDdvXqt9FRUVmDp1aqftICIiIiIi6mtMFitMFutpazIa2VLDASg+LxSfvoYx7HE2\nT0s9Qx0GhBaLpcMfOt2xJvn5+SgpKUF5eTkyMzOxadMmrFixotU5NTU1RpC4ZcsWjBgxoqvtJiIi\nIiIiOmfJJhPk+ERY4hPbPd5Uk/FMdRgQHjx4EJdcckm7D9yV6ZpmsxlLly7FwoULoaoqZs+ejby8\nPKxcuRJjxozB1KlTsWbNGmzZsgUmkwkpKSl48sknz+zZEBERERERxYCmmoxnfB3R3mK/s0DTlNHN\nmzdjyJAhvd0cIiI6y11zzTXY+sYbgK3jrHJERER9TlL7iW266uwojkFERERERETdjgEhERERERFR\njGJASEREREREFKMYEBIREREREcUoBoREREREREQxigEhERERERFRjGJASEREREREFKMYEBIRERER\nEcUoBoREREREREQxigEhERERERFRjGJASEREREREFKMYEBIREREREcWoqAaE27Ztw/Tp0zFt2jSs\nXr26w/PeffddnHfeedizZ080m0NEREREREQtRC0gVFUVy5YtwwsvvIBNmzZh48aNOHr0aJvzPB4P\n1qxZg4suuihaTSEiIiIiIqJ2RC0gLC4uRk5ODrKzs2G1WlFYWIjNmze3OW/lypVYuHAhbDZbtJpC\nRERERERE7TBH68IOhwNZWVnGdmZmJoqLi1uds3//flRXV2PKlCl48cUXO7xWUVERioqKWu0LhULd\n22AiIiIiIqIYE7WAUAjRZp8kScb3mqbhySefxJNPPtnptebNm4d58+a12ldRUYGpU6eeeUOJiIiI\niIhiVNSmjGZlZaG6utrYdjgcyMjIMLa9Xi8OHz6MO+64AwUFBdi9ezfuu+8+JpYhIiIiIiLqIVEb\nIczPz0dJSQnKy8uRmZmJTZs2YcWKFcbxpKQk7Ny509hesGABfvaznyE/Pz9aTSIiIurQ3Xff3dtN\nICIi6nFRCwjNZjOWLl2KhQsXQlVVzJ49G3l5eVi5ciXGjBnD6Z5ERNSn3HHHHcCpU73dDCIioh4l\nifYW+50FmtYQbt68GUOGDOnt5hAR0bng1CmAWa+JiOhskpR0Rj8e1cL0RERERERE1HcxICQiIiIi\nIopRDAiJiIiIiIhiFANCIiIiIiKiGMWAkIiIiIiIKEYxICQiIiKiHbQzAAAN/0lEQVQiIopRDAiJ\niIiIiIhiFANCIiIiIiKiGMWAkIiIiIiIKEYxICQiIiIiIopRDAiJiIiIiIhiVFQDwm3btmH69OmY\nNm0aVq9e3eb4a6+9hhkzZmDmzJm47bbbcPTo0Wg2h4iIiIiIiFqIWkCoqiqWLVuGF154AZs2bcLG\njRvbBHwzZszAW2+9hQ0bNmDhwoV48skno9UcIiIiIiIi+gpztC5cXFyMnJwcZGdnAwAKCwuxefNm\njBw50jgnMTHR+N7v90OSpC5fX1VVAEB1dXU3tZiIiGJeQwNgtfZ2K4iIiLouIQFZWVkwm79ZaBe1\ngNDhcCArK8vYzszMRHFxcZvz1q5di5deegnhcBgvv/xyu9cqKipCUVFRq31erxcAMH/+/G5sNRER\nERER0dll8+bNGDJkyDf62agFhEKINvvaGwGcP38+5s+fj7feegt/+MMf8Otf/7rNOfPmzcO8efNa\n7QsEAti7dy8GDBgAk8nULW3+/ve/j+eee65brkXdh/3SN7Ff+ib2S9/Efumb2C99F/umb2K/9E3f\n//73Ww3EfV1RCwizsrJaTed0OBzIyMjo8PzCwkI8+uijXb6+3W7HpZdeeiZNbMNqtX7jyJqih/3S\nN7Ff+ib2S9/Efumb2C99F/umb2K/9E1Wq/UbTxcFophUJj8/HyUlJSgvL0coFMKmTZtQUFDQ6pyS\nkhLj+61btyInJydazSEiIiIiIqKviNoIodlsxtKlS7Fw4UKoqorZs2cjLy8PK1euxJgxYzB16lS8\n+uqr+Ne//gWz2Yzk5OR2p4sSERERERFRdEQtIASAyZMnY/Lkya32Pfjgg8b3v/zlL6P58ERERERE\nRHQapke/zsK9GDBmzJjebgK1g/3SN7Ff+ib2S9/Efumb2C99F/umb2K/9E1n0i+SaC8dKBERERER\nEZ3zopZUhoiIiIiIiPo2BoREREREREQxigEhERERERFRjGJAGLFt2zZMnz4d06ZNw+rVq3u7OTGt\noKAAM2bMwMyZMzFr1iwAQGNjI+666y5cd911uOuuu+B0Onu5lee+JUuWYOLEibjxxhuNfR31gxAC\n//Vf/4Vp06ZhxowZ2LdvX281+5zXXr+sWrUKV199NWbOnImZM2fiww8/NI49//zzmDZtGqZPn47t\n27f3RpNjQlVVFRYsWIDrr78ehYWFePnllwHwnultHfUL75neFQwGMWfOHNx0000oLCzE7373OwBA\neXk55s6di+uuuw6LFi1CKBQCAIRCISxatAjTpk3D3LlzUVFR0ZvNP2d11C8///nPUVBQYNwvBw4c\nAMD3sZ6mqipuvvlmfO973wPQzfeLIKEoipg6daooKysTwWBQzJgxQxw5cqS3mxWzpkyZIurq6lrt\n+/Wvfy2ef/55IYQQzz//vHjqqad6o2kxZdeuXWLv3r2isLDQ2NdRP2zdulXcc889QtM08cUXX4g5\nc+b0SptjQXv98rvf/U688MILbc49cuSImDFjhggGg6KsrExMnTpVKIrSk82NGQ6HQ+zdu1cIIYTb\n7RbXXXedOHLkCO+ZXtZRv/Ce6V2apgmPxyOEECIUCok5c+aIL774Qvzwhz8UGzduFEII8cgjj4i1\na9cKIYR49dVXxSOPPCKEEGLjxo3iwQcf7J2Gn+M66peHHnpIvPPOO23O5/tYz3rxxRfF4sWLxb33\n3iuEEN16v3CEEEBxcTFycnKQnZ0Nq9WKwsJCbN68ubebRS1s3rwZN998MwDg5ptvxgcffNDLLTr3\nXXbZZUhJSWm1r6N+aNovSRIuvvhiuFwu1NTU9HibY0F7/dKRzZs3o7CwEFarFdnZ2cjJyUFxcXGU\nWxibMjIycOGFFwIAEhMTkZubC4fDwXuml3XULx3hPdMzJElCQkICAEBRFCiKAkmSsGPHDkyfPh0A\ncMsttxh/i23ZsgW33HILAGD69On417/+BcEk+d2uo37pCN/Hek51dTW2bt2KOXPmANBHZ7vzfmFA\nCMDhcCArK8vYzszMPO0vDIq+e+65B7NmzUJRUREAoK6uDhkZGQD0X/D19fW92byY1VE/fPUeysrK\n4j3Uw9auXYsZM2ZgyZIlxrREvrf1joqKChw4cAAXXXQR75k+pGW/ALxnepuqqpg5cyauvPJKXHnl\nlcjOzkZycjLMZjOA1veEw+HAwIEDAQBmsxlJSUloaGjotbafy77aL033y9NPP40ZM2bgiSeeMKYm\n8n2s5zzxxBP46U9/ClnWQ7eGhoZuvV8YEALtRs2n+0SEouu1117Dm2++iT/+8Y9Yu3YtPv30095u\nEnWC91Dvuu222/D+++9jw4YNyMjIwH//938DYL/0Bq/Xix/+8Id4+OGHkZiY2OF57Jue9dV+4T3T\n+0wmEzZs2IAPP/wQxcXFOH78eJtzmv7t2S8956v9cvjwYSxevBjvvvsu1q1bB6fTaeTaYL/0jH/+\n859IS0vrtPD8mdwvDAihR9XV1dXGtsPhMD7RpZ6XmZkJAEhPT8e0adNQXFyM9PR0YxpCTU0N0tLS\nerOJMaujfvjqPVRdXc17qAf1798fJpMJsixj7ty52LNnDwC+t/W0cDiMH/7wh5gxYwauu+46ALxn\n+oL2+oX3TN+RnJyMCRMmYPfu3XC5XFAUBUDreyIrKwtVVVUA9KmMbrcb/fr167U2x4Kmftm+fTsy\nMjIgSRKsVitmzZrV4f3C97Ho+Pzzz7FlyxYUFBRg8eLF2LFjB5YvX96t9wsDQgD5+fkoKSlBeXk5\nQqEQNm3ahIKCgt5uVkzy+XzweDzG9x9//DHy8vJQUFCA9evXAwDWr1+PqVOn9mYzY1ZH/dC0XwiB\n3bt3Iykpib8UelDLNRsffPAB8vLyAOj9smnTJoRCIZSXl6OkpARjx47trWae04QQ+MUvfoHc3Fzc\nddddxn7eM72ro37hPdO76uvr4XK5AACBQACffPIJRowYgQkTJuC9994DALz55pvG32IFBQV48803\nAQDvvfcerrjiCo5ERUF7/ZKbm2vcL0KINvcL38ei78c//jG2bduGLVu24Le//S2uuOIKrFixolvv\nF0lwVS4A4MMPP8QTTzwBVVUxe/Zs3Hfffb3dpJhUXl6O+++/H4A+j/3GG2/Efffdh4aGBixatAhV\nVVUYOHAgVq5cyU8Ho2zx4sXYtWsXGhoakJ6ejh/84Ae49tpr2+0HIQSWLVuG7du3Iy4uDk888QTy\n8/N7+ymck9rrl127duHgwYMAgMGDB2PZsmXGL+U//OEPWLduHUwmEx5++GFMnjy5N5t/zvrss88w\nf/58jBo1yljjsXjxYowdO5b3TC/qqF82btzIe6YXHTx4ED//+c+hqiqEEPj2t7+NBx54AOXl5fjR\nj34Ep9OJ888/H7/5zW9gtVoRDAbx05/+FAcOHEBKSgqefvppZGdn9/bTOOd01C933HEHGhoaIITA\n6NGj8dhjjyEhIYHvY71g586dePHFF/H888936/3CgJCIiIiIiChGccooERERERFRjGJASERERERE\nFKMYEBIREREREcUoBoREREREREQxigEhERERERFRjDL3dgOIiIi6W0NDA77zne8AAE6dOgVZlo2i\n8HFxcfjLX/7S7Y+5f/9+rF27FsuXL8eqVasQHx+Pe+655xtd69e//jW+9a1vYeLEid3cSiIiotYY\nEBIR0TknNTUVGzZsAIAzDs666rnnnsN//ud/dvl8IQSEEEZ9vJZuv/12PPLIIwwIiYgo6hgQEhFR\nTBk3bhy++OIL7Ny5E6tWrUJ6ejoOHjyIadOmYdSoUXjllVcQDAbx7LPPYujQoaivr8evfvUrVFZW\nAgAefvhhjB8/vtU1PR4PDh06hNGjRxv7jh49igULFqCyshJ33nkn7rjjDlRUVOC73/0uJkyYgN27\nd+PZZ5/FqlWrsHfvXkiShNmzZ+M73/kOBg8ejMbGRtTW1mLAgAE9+u9DRESxhWsIiYgoZh08eBC/\n+MUv8NZbb2HDhg0oKSnBG2+8gTlz5mDNmjUAgOXLl+POO+/EunXrsGrVKvzyl79sc529e/di1KhR\nrfadOHEC//d//4fXX38dzz77LMLhsLH/5ptvxvr169HQ0ACHw4GNGzfirbfewqxZs4yfv+CCC/D5\n559H8dkTERFxhJCIiGJYfn4+MjIyAABDhw7FVVddBQAYNWoUdu7cCQD45JNPcPToUeNnPB4PPB4P\nEhMTjX21tbVITU1tde3JkyfDarUiLS0NaWlpqKurAwAMGjQIF198MQAgOzsb5eXlePzxxzF58mRM\nmjTJ+Pn09HTU1NRE4VkTERE1Y0BIREQxy2q1Gt/Lsmxsy7IMVVUBAJqmoaioCHa7vcPr2O12hEKh\nDq9tMpmgKAoAID4+3tifkpKCDRs24KOPPsKf//xnvPPOO3jyyScBAMFg8LSPSURE1B04ZZSIiOg0\nJk2ahFdffdXYPnDgQJtzcnNzUVpa+rWvXV9fDyEEpk+fjgcffBD79+83jpWUlCAvL++bNZqIiKiL\nOEJIRER0Gr/4xS+wbNkyzJgxA6qq4tJLL8WyZctanTNixIh2p5J2pqamBkuWLIGmaQCAxYsXAwDC\n4TBKS0sxZsyY7nsiRERE7ZCEEKK3G0FERHS2+9Of/oSEhATMnTv3jK/1/vvvY9++fVi0aFE3tIyI\niKhjnDJKRETUDW677TZYLJZuuZaiKLj77ru75VpERESnwxFCIiIiIiKiGMURQiIiIiIiohjFgJCI\niIiIiChGMSAkIiIiIiKKUQwIiYiIiIiIYhQDQiIiIiIiohj1/wGEy8WJ8O+3WwAAAABJRU5ErkJg\ngg==\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a39c84860>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA3AAAADcCAYAAAAx3EPfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERERGRTuL/Az2eNyhG/kOFAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Much better. We see a heavy-tailed failure-time density as we would hope, and the filter line looks much closer to our intuition. \n\nHowever, the uncertainty is still too low, and the damage PDF at the final observation time has much lower kurtosis than the true distribution. Lets use a Student's T distribution for the likelihood model, making the model capture heavy-tailed behavior much better. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 3000\nparam0 = {'x':(.9, .1),\n 'b':(.0, 0.001),\n 's':(.01, 0.1)}\n\n# sps.t\nlog=particle_run(n, sps.halfnorm, param0, times, df2, likefunc=sps.t, draw=False)\nparticle_plot(log)\n",
"execution_count": 72,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a39999160>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA4QAAADyCAYAAAAV3Qt6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd8nOd16Pnf+77TCwa990IA7F0kRUos6qaKJVmyZVtW\nNhvHLfZdZxPbu7m5Su56Y9+sHW+Sm42duMlFzbIa1UlRFEWJvaIQvXdgBphe3rJ/zHBEWiJFiQQB\ni8/38wEBTD0zGIBz3uc850iGYRgIgiAIgiAIgiAIVx15rgMQBEEQBEEQBEEQ5oZICAVBEARBEARB\nEK5SIiEUBEEQBEEQBEG4SomEUBAEQRAEQRAE4SolEkJBEARBEARBEISrlEgIBUEQBEEQBEEQrlIi\nIRQEQRAEQRAEQbhKiYRQEARBEARBEAThKiUSQkEQBEEQBEEQhKuUSAgFQRAEQRAEQRCuUiIhFARB\nEARBEARBuEqJhFAQBEEQBEEQBOEqJRJCQRAEQRAEQRCEq5RICAVBEARBEARBEK5SIiEUBEEQBEEQ\nBEG4SomEUBAEQRAEQRAE4SolEsJ5TNM0jre00Tc0AkAioaKq2nkv39LRza9+v4MTLe1XKkRBEARB\nEARBEP6ImeY6gKuRpus0ne4kw+2kqqzkvJd7453DHDjeBMCtWzby2t79mE0KD95zOzlZHgBUVeN0\nVw/5Odm8/MY+orE4Q6MTLG2sQ5KkK/J4BEEQBEEQBEH443TVJYTeaT8Dw6MsqC7HbrNd1HWCoTBj\nk14qS4vYe/AY/UMjXL9+NRUlRR/6/k+d7uSJ518hGI6Ql5PFvZ+4gRMt7VgtFm7dfC1m87s/kriq\npr/uHRhGVVVUVaW5vYtQOEx5cRF9QyMcb2nDpCgUF+TRPzxKaWF+Ohmc9gewWS1EY3Fe2r0Ph93G\nbVs3YjaZ8E77cdptWK2WD/04BEEQBEEQBEH44/exTggNw8AwDGQ5WRmrqhqPPPU84UiUprYibty0\njt7BYRbWVeNyOs65blffIIOjYyxtqONXv3+BYChMdXkp3f2DQHL17gv33g5ANBZj36HjWK0W+odH\niURi3HnzZnKzMt8T0yt73mZwdJyEqpKVmcGJlg46evoByMxw0dTWhaIofOaOm9m6fg3xeILiwnxq\nykvxzsxgNZvp6R9iaGycY81t6aRU1TRuvn4DsXicgeFRegeH8U77efmNZBJYXV5Kz8AQALWVZcwE\ngryway9Zngy++oX7Ljo5FgRBEARBEATh4+NjkxCGI1EkiXRiEwyF+eVTzxMKR/nUJ26gqqwE3dCJ\nxxPpy//q9y8Qi8dp6+7lM3fcyp79h9F0nZVLGnlyx6vohsHA8CjBUDh5m5EIWZ4MfDN+HDYb//zz\nR8nNziQ708PRU634A0FkWcZht3Gs6TQ3blr3njiHx8YJhsOYTSa2bFhDQU42HT19mBSFaX+QaX8A\ngPaefkLhCM3tXXT1DVBRXEhhbg4etwvfjJ+hsXGsFgvbrl3D7neOUFtZRl5OFs+9toemtk4kSUon\ni+FINJ3wWsxmCnJzePKF1+juH0RRlNSKaeVs/4gEQRAEQRAEQZhnPhYJ4enOHn70s9+iaRpf+fyn\nWLG4kYGRMWb8QQBOtLSz98BREqrGzZuvpbOnn+KiPN46cAwATdM5ebojvV/PZDIhyzK6puGw21mz\ndBGjk1PcdN06vNMzTM8EGB6bIBgKEwyFcdrt6euNTkxhGAab169+31htVitOux1V1Xh930FWLmrg\noU/dQd/QMDlZmXT1DSDLMtXlpezadwCAaCzO628fSq9O3nXzFkyKQn1tFYdOttIzMMToxCRLGmrP\nua81yxajGwYet4tsTwafueMWfDN+/vOxpxkYGsUADN0gGotf9p+JIAiCIAiCIAjz38ciITzW0kYs\nldQcPN5MXVUFlaVFlBbmEwiFcdjttHR0A9A7OEx7Tx9t3b0sbazDHwiR5cnAYbemby8vJ4vG2ioi\nsRhlRQW8tnc/AF29A7yx/wgAjXXVyLJMTpaHbdeupb6mgsHhcZ7b+QaGYeAPBN831rtu3sLLe95m\ncsqHSVFo6+ljwjvN6MQkbpeTDauWsWvfQV7a/RY3XreOYChCRWkRTruN7v5BZFnmeHMbvYPDNHd0\np5vLRKIxDp1owTftp7GuCqfdzutvH2RRXTVjU15e3P0WFrOZwrwcdF0nw+3EZrOSm51JbWX5rP1s\nBEEQBEEQBEGYvz4WCeHW9Ws4eqoVVdWw25OlnJWlxdx18xaONp0mw+3EbrOiqhoFOVk0GwaQLKXs\nHRymd3AYJPjkzVtQNY3JKR+n2joBzunUOX1WkleQm82dN17P2KSXf//N75AlicX1tWiajqbrGOeJ\nde3yxaxdvph3jpzkeEsbq5cu5NCJZgBi8TjN7V0A9A2NsP/ISUbGJwiEQvzp/XcRjcUpLSrgYGol\nM55IsHn9avYePEZdZRm73zkMQCDkxAACwRBvHjxKWVEBAKqqsqShjknfNNesWMrmdavwZLix26zv\nDVQQBEEQBEEQhI89yTCM8+Uuf5T+5eePEkjt+SsrKmBgZAxZlvnsXbfR1tVDTWUZ45NeOvsGWdpQ\ny45dezEMg7qq8nRzlwXVFbR39wFwy+ZrGRodx+N2UVpcQFtnLxkuJ97pGUKRCNmZHg6fbAFg+cJ6\nTp7uQNd17rntBuqrKy4q5vFJL6dOd1BfU4lvJsCufQeoLC0mGArTPzwKkI7PYjbz6dtv4vV3DtNQ\nU4V3eoajTa047DYcNhuTvmkaaqtw2GwcbWqlsrSY27Zu5MipVspLCqkTq4GCIAiCIAiCIKR87BLC\nk63tvHP0FIsWVDMyPklHTz9mk4mczAxGJ73IssyKRfUcOdWKSVHYfsN1BENhDENn175DAFy/bhWZ\nGW5GxiY5eKIJs8nE5vWr06WjKxc3crSpFYCG2kp80wFkWeLe225A03U0TU+Xcl6K0Ykp3jxwhNKi\nAgaGR+nqS+4hPNPt1GqxkJ2Zwcj4JAD/62c+ia4b5OVkocgyoXAEh90m5hEKgiAIgiAIgvC+PhYl\no2db2riApY0LgOQ4iJaOHkoL83n97UOAF7PJlO4aqmoa7T19tLR3k5eTxYpF9RgGuF0OJr3ThKNR\nABKqysj4RPo+LGYTFouZeDxBXWXFe5q5XA6dvQO0dnSzYdUySosKmK6r5p2jJyktzE+Xs8bica67\nZiUnWtopLykiLzvrnOTP6bBf9rgEQRAEQRAEQfj4+NitEJ5PNBbjdGcvpUX5WC0W3jp0jLycbE60\ntjM2MQXAVx68D1XT+MlvngKgqqwERZFxOx1su3Yt+481oes6G9esIBaPE4snyM7MuOyxarrOD378\nCKqmkeFyctfNW+gdHGZZ4wLcLidjk1Mca2qjrLiARQtqCARDPPLUDsKRKPfdflN63IQgCIIgCIIg\nCMKFfOxWCM/HZrWyfFF9+vtbt2wEwON2sfudQ7hdTp5+ZTf52VnJkRO6TmaGK305gOuuWZn+2mSy\nz9oKnCLLuF1OfDN+XE4Hv33mJVRNo3dgGLfLSXN7FysW1bNoQQ0AvYMjzKQa3rR19b4nIYwnEphN\nJlE6KgiCIAiCIAjCOa6aFcIz/IEgfUOj1FaWpofYA/ziyecYHkuWhd5181biiTiLFtRgNl2ZnLlv\naISX33ibgrxsbrl+A28ePEY0GmPLutX8+29+R0JVqSwtpm9oBMMwsFjM3HHD9Tz76ht4MlzIkkws\nHueeW7fhD4bYe/AYC6rLyXC5eOH1veRkZfLQvbdjtVquyOMRBEEQBEEQBGH+u2pWCAEMw+CRp3bg\nD4YoLsjjoU/dkT6vsrSY4bEJPG4XZrNCfXUtiqJc1O129Q0QCkdYXF+LLMsfKbb9R08y5ZtmyjeN\noRu0dvYAUF9dwaZrVhAKRVm3cgnHmk5zpKmVhXU1nGrrJKGqTHqnufn6DfQMDNE/PMqx5tNM+WYY\nm5yivLgQgCnfNBNeH6WpERSXk6pqaLqO1WL+0Nf1B4IEQmFKCvMve1yCIAiCIAiCIFyY8vDDDz88\n10HMltHxSZ56aRdDo+PUVpQB8OaBo+i6nk7cJrw+CvNyqSwrprG2mpOt7RxvbmNqeganw86hE824\nnA7GJqd4/e1DKLJMbnZm+j76hkZ49NmXae/px6SYKEslYB9WPKHS2TtAdqaHytIi+oeS4yYSqsqR\nU62MTXpZtbiBirJiTrZ20NU3QHZmBuFIhML8XMYnvfQODNPdP0RlaQmTXh9F+blsXLuC4dEJKkuL\nWL104UdOWM/HHwjyk0d/z96DxyjIyyEajTEwPEpOVibyB5SoTvsD/MejT3O0qRVFVj7ycycIgiAI\ngiAIwkfzsV4h3HfkBEOj4wyNjrOoroa8nCzu234Tbd29qKrGzrcOAGA2m/D7QyiKTDAcAWDS6+Px\n514hoSYTtVgsTigSoat3gL/60hfwzQQ4cqrlnJLShKZ+5FhXLm6gsbYKi9mELMvk5WRht9k4cio5\n3kJVVcLRGPFEAt+MH4BQOEp+bg4z/kA6SXU67Ny6ZQNbNqzG7XSgKApf/vynPnJcH2RodJxQ6jk7\n0dJOR08/hmEwPully4Y1aLqOIsscb2lj99uHqC4v5Y4br0eSJPzBEPFEAoBxr3fWYhQEQRAEQRAE\n4f19rBPCqtJi2rp6cTns7HrrAGNTXtavXMpN163n4PGm9OVa2rvTQ+lXLm4kEo2ydvlinnppFwlV\nxWa14HTYk4PoszxIksSOnXsYHB1HlmVu3LSOhKqyZtmijxSnpmkcOdWKzWpJj8xoqKkCICvDjd1q\nIRKN85unX6SitIi1yxfTPzRKTXkJew8dA6CsqIAH79lOlicDm9WKzWq9lKfuolVXlFFdXkogFGJB\nVQXt3X0ARKIx9h87xev7DlJZVkwoFCESjdHc3sWW9atp6+6jtaObmooyzGYTm9etviLxCoIgnM9P\nH3uGP/30XXMdhiAIgiBcUZe3fvAs3/nOd1i/fj3bt29/3/O7urq4//77Wbx4MT/96U9nJYaVSxr5\n2hfu5/P3bGdsKrkC1d7Tz6RvmsX1NWzftol7b7vhnP1rDbWVrF+1jGde2Y3JpHDN8iVM+WYYGZ/g\nho3XcOvmazl0ohlZST51FrOJZQsXsGHVso/cgGb/sVPsfOsAO3btTSemZ2S4k51O/cEgsXic9u4+\nJElidGKS1q5ePG4XiqLQuKCa0qICQpEIR5tOE43FAAgEQxw60cyk1/eRYvsgVouZT2zbxMK6anKy\nPNyy+VqK8/OorSrj1OkOAHoHhqmrKkeSJGoqSrFaLby2dz+Do+OMT3m5+5atZGa4ZyW+j2J0YoqO\n3uRK53vOG5/k0IlmIqkZlZebYRg0t3XR2tE9K7d/pY2kn6/YXIfyHpquJ1e1e/s/+MLzSCQa5dCJ\nZkZT43Lmo76hEY6caiWR+OhVE1eSYRg0tXUyNT0916EIgiAIwhU3a3sIPR4P99xzDzt37uSBBx54\nz/mGYbB8+XIyMzOxWq2sXLnyfW7l0lmtFuw2KwlVJRKNk5+TxSt73uZEazsL66p5cfdb+Kb9rF2x\nmHgigT8YYmxiir6hEaKxOC6HnbFJL7pukJ+TzetvH6Stuw+r1cLWDWvYtHYlbqfjkmIcHpugZ2AI\nALvNxuGTLdisVtwuJ/1DI9isVhRFobt/iIrSInzTfgKhMOFIlC/cezub161EQgJJ4qePPU1bVy/j\nU14W19fy66df5GRrBy0d3VyzfPGsjJ54csernGztoLm9G5vFQmffAK2dPaxc0sik10dhfi6LFlRz\nx43XEwxHaDrdiappRKIxFlRVUF9Tedlj+kNvHznBo8++jHfGT311BTOBIGaT8p49leOTXn7+xLM0\nt3dhUpL7GgeGRzl1ugO73cYjv9tBR28/E1M+FtfXXvY4T7S2s2PXm5zu6iU700N+TvaHur6maURj\ncczmuV/8j0Sj/MejT9PZ28+Ubzo9JmW+2H/kJK/t3U9LezdlxYXz6qDEhTz14i6OnGqhqa2TVUsa\nMV2hTsgXa8o3wy+efI7O3gEi0Sh1VeVzHdIHOt7Sxgu79tLTP0RtRRl5OVlzHZIgCIIgXDGz9k5i\nzZo1DA4Onvf8nJwccnJy2LNnz0e6fVVVGR0dpbCw8KLeEG3dsJatG9byzCu7gWRJ4+GTLYQjUcKR\nKCNjkwyPTTA8NsHi+losFjM2i4UNq5bhD4aIRGMU5uVypKk1fZtLGuo+Uuxnm/YHWFBVjt1qxWI2\n8eyrb6AbBuNTXvKys+gZGCIny8ONm9aRn5NFUV4uxYX57Ny7n/KSInKyPDz67Mv0Dg5TUVqEqmoA\n6SPzmpb8XtN1AqEwNqsVq8XM6PgkSBKFeTmX/BjOJJkSoGk6kEz466sqKCsq4LfPvMTA8Cirly3k\n8IkWABprq7jn1m3kZGWe72Yvq6OnWlE1jVOnO5BlmRMtbRQX5LFh9TJe2r2Pwrwc7r3tBkKRCHpq\nZTAQChGJRnn02ZdRNY3OnoH0eWce5+V29u329A/y8htvU1qUz7oVS3nm1d24nU4+c+fN2G02DMNA\nkiSm/QFm/EEK8rL5+RPP4Zvxc8v1G1i5pHFWYrxYum6g68nHc+Z1OJ+oZ8XU3N7Fc6/toaGmkpuu\nWz+HUX2wM8+lbhjvu4o913RdT8cVjSeYmPLN+wTrzO+dFPSiztLvtiAIgiDMV/Pr0PJ5PP744zz+\n+OPnnBaPx+no6GDXrl2UlpZ+4G0Mj03wwq69WK1mKkqLMCkKDdWVjE1O4bDbqcl1cfydfiSzjbyw\ng2UNmexuGeTRX/+KjQuK2ds/xGOPdVKem0Gex05djsHQvhcu6XEN+4LsOJYsDbxteRW52W7s8Rmm\nAhHy5QwG2oaIRuOM+MZ5fnyAqUCE3rYWPrOhkTpblEOH9uPvbaFjdBpd1+nxT7JlURlN/ZM0WkN0\n7n4WZ2gcSdLIsxn84J/+BZtFYU11IXtPDwISty2voiznwisjhmGArmMYyY/017oOhsEKJY7bHqbQ\nbcMd6UYz+Rn2R3jk3/8nBW4roYkgIDGmTxGdDKPpBglpmuloN9OSAan3tJKsIJnMyCYzitmc/Nps\nRVbMyObU1yYzSuqzZDIlryPLSErqa0VBTn/97mkrFzey99AxFtZW0T80kn5NHDjWRCgcoatvkGPN\nbXT3D1JVVoLFYmZ0cordbx9OJ7w2m4VP334z/cMjLF/UcEk/+/NZsagewzCQJYnmjm5i8ThdfYNI\nQCgcIRSOcKqtkwPHmojHE3xi60ae3/kmCVVl0YLqdMOhzr6BK5IQTnp97Np3kLycLLasX0MwHMFs\nUrBZrTgddj59x80MDo+xbFH9OdfTdZ3Wzh4yXM4r2l02oaq8tHsf0ViMGzetw2Ix47BZ2XvoGMFQ\nmMMnWygrKqR7YJAVixqIRGMcOH6KhpoqrGYzL7y+l+KCPD59xy2YTBc3luZyu+PG6zne0kZ5SdE5\ns1Tni7ycLO697QZGxic50drGfzzazbqVS9i6Ye1ch3ZeKxc3YBgGO1v2sLgoDyYn5zokQRAEQbh4\nubmXdPU/ioTw/vvv5/777z/ntMHBQbZt2wZAMBRmx669KIrM9m3XYbe9t6HKwRNNTKT20a1Y1MCx\n5tN09w/x6dtvpqm9i86hUbY3FODKKyTTaWXIG6R7PLmf5GjfODPh5B6ocExl9bL3fwNrGAbH+yaI\nqRorK/OxfMAbxolAJH0kvX8yQOfYNItKcnDbLYxMh8h0WAlGE+Rm2JkORZkKRMiwW5GAUwOTxBIq\nbcNe1tcV0zMxw8KSHFoGpxjyBfE19VHocdA9PgNIGBiAQTSuMuwLnomYmXDsAxNCSZJAUZB4/8fj\nccKqnHdfiIvcWRzf1woomFQTy6pLias6GxuKWRVTCUTjlGS53lO+aug6hq6lk009FkWNhM86TUsm\no7oOupFckuQPSmCl5M9BQuJMpmkAhSYz91WakRnFY4tybMJPdWEOHnOEnuA0uR43b7+1l+lQDElR\nqCopYmB0gsHhMW7dfC2qprG4vhaH3UZFadEFn69LIcsyq5cuBJLdb4fHJigpzGf10kX0j4zhsNlQ\nVZ1AMARAU3sXCTW5GqwbBkvqaxmdnGL9yqWzFuPZ3jxwlK6+Qbr6BlFkmX2HT2CzWviT++4ky5NB\nUX4egWCYRCJB39AIr775DoV5uXjcLt5KNUT6k/vupCj/0v6QXazTnT00tXUC4HY66BsaJRgOU1la\nzIw/SHV5Cc+99gaartM7OIwsyfhm/PQODFNWXICqafQPj6ZLoedCKBxhwjuN2+WkomT2XouXYkF1\nBbnZmew7fByAwZHxOY7owiRJwmG3QcSPlEjAFWrKJQiCIAjzwR9FQvhBjje3ceRUC95pP1PeaT61\n/Sb2HT5OSWE+Kxc30N7dR7YnA0mScDsdyHIyiTAMgyNNrbR396HGIpiccRbkwzOHOzHJEk6bmVBU\nZUFhFqVZbgamAqyuTg527xz1EUlo1BV6ePVkP95QlAVFmZzqTx5ZliVYW3PhN2sNRdlMBSIYBoz5\nQ4zPhGkb9lFX6KFjNJmMrq4u4GDnKJIEa2sKOdo7zqPvnKYiN4OZcJyKXDeLS3OQAH8kTiCaHOMQ\njasoqf1xsgRLS3NJqDpuu4VrFxRhM5uQJYmG4g+3R+1i2C0m8jIcTPjDZNitNA9NYRhQW5hJWY4b\nj+P932xJsox0meckQmqFM5VkGrpORbZMRaYNQ9dQtQjFNp2AfxKLJBGbieC2mXF6Y0QmZrCZJKxd\n+8nLzMTfNErEmYnJ6cZktaNYbSgWG7LFhmK2XPa4lzTUnVOWvGnNCnbtO0hTWwd5OVkkEirXrV1J\ncUEeU95prlu3Co/bddnjuJDigjxOd/Vit1nxzgQAiMbijE5MkeXJ4NlX36Cztx+b1UJhXi4TUz4m\npnzn7CuLxeNXLN6C3BxMJhOqqiJLMt7pGSDZHKqhtgpFlnHY7QRCITwuFy6nA9+Mn7ycLFYtWcj4\npI/igrw5LYF86Y19jIxPcrqzh9qKMlyXuId5tmRneti0dgV9Q6NsXrdqrsO5oBMt7by4+y16DQ+t\nfYM0zrP9roIgCIIwmz4WCWFpcQEzgSBgMDw+wUu736J/eJSmtk4mvD6Opmb53X3LNk61dRCORFna\nuABVVcnLyaKjpx9ZkvDYzDQNTjI2k1x9ub4hWYrqtJrJz3DQNDjJruZ+VlYW8FZbcn/k6HSIkenk\nituILwSplSmn1fyBcVvNClsXJd8Yv97cz/hMGKtZwZreEykRjCYAA8OACX8kvb/FJEtk2M3MhOM0\nDU7xTscwAPXF2RRlOnFaTAz5QpRmu1lTU0h+hoOy3Iz0fW+sL7mEZ/yDZTmsGIaB22HBmEyu1HmD\n0Q9cjZwNkiSBpCDJ713hHJny0+9PJtE1BR7uWVxDpsOG1aywoCaG3aJglgx0NUHEO05obBBDTXDm\n54wkJUs8ZRNmlxuTw43Z4cbiykSxOVAs1lTiaEe2WC+pqU9rZw8Ak95p/vyz95KT5QEgP/fyJ/UX\na93KpVSXl+J02InF44RCYWRZ5q1Dxzh6qpVoKtmLJ1SqyorpHRwmy5PBzdetJz83G4/LRWVp8RWL\nNz83m68+eB8JVcVqMTM0NkEwHEaWZE53dgGwcc1y8nOzqSwtxmw2c82KJeRkebCYzSysq75isZ5P\nblYmI+OTuJ0OrJbLfyDictq0diWb5jqIi3BmlV1JREikZqMKgiAIwtVi1hLCb37zmxw8eBCfz8d1\n113HX/zFX6Cm/tP9zGc+w8TEBPfccw/BYBBZlvnlL3/Jiy++iMv14Vc4KkuLue8TN3Hg+CmWNNRh\ntVjoHx7FbrOm7xPg5OkOOlMt5lctaeRkazt0wOZ1q2huamZnZzs1JflIkoTFpDAdjnGifwKA2oIs\nwrHkG4UzCSBApsNKXoYDXyjKqqoC7BYTMVWjPCeDD+P6xlKq8z3kuOw4rCZy3HYGpvz4I3FKc9zY\nTAo1BZkYGEQTGjazCX8k+WZ7wh9O306u287i0lyeOtjOZCA5MH7zwrIP/ZxeiiFvkPbRZHmux2Gl\nJNuNSZZoLJm7xOV8ks+3mXBMRdfh5ZO9VOV5uK6hlEznuyuZsunCCb6haehqnLjfS9Q7hp6Ig2Fw\nJnE0AFmSUexOzM4MzE43ZmcGJrsrvdKoWGwoVvt5V0nXrVzCrrcO4nG7ePXNd6gqL2HdiiWX78n4\nw8eUKuHVNRVD05Klu5r67mcteb5dU9HCk0ixGLc2FrL3ZDtt3QMYhs7qqgIynBrlBVnU2hNU3bQW\nh9ONOR5k/cIaFIsNQ9dnZWX4fJwOe/rr27Zcy+FTLTgdDiQpWWhcUVJ8TlnwlSpnvVi3bdvEksY6\n8rKz5kU32Y+DlUsaMQyDfTv+Eft4O8zSHmFBEARBmI9m7d3ED3/4wwuen5eXx5tvvnnZ7u+GTddw\nw6ZrgGTDigXV5eRkerBYzNhtNjxuF26ng87efhRFwWJ+9w1+NBZnZCqZwPhCURYUZeENRgnF300m\n8z12xvwhJCTWVBdSnZ9JNKHSUJTNmpqLb4pxsn+CA50jlOdmUFvgIcOeTCgVWaYyz5O+XK7bzp7W\nAQAKM50M+CN0jk2zrDyPlZWZdI/PYDEpKLJEXVEWdYVZJDSdsZkwzx7pxG5J/mgz7Fas77OXcdgX\nZG/bELluO1say9JltJdDtsuGzWwimtDQDYMhbwCTIhOKJT5wX+WV5rSa+cz6BhKazjOHO4nGVVqH\nplhbU4jtQ7zZlhQFRbGjWO3nvYyh6+hagkTYT8w/hZFIoGtqagVTSjfXUax2TA4XZocbs8uD2elG\nsdqpzHbxxU/dxq+f30X/8Cg9A0M0VFWQ4bInE9KzkzVdSyZxqUTuzHl6IoEWj2JoCfREHF2NJ09L\nxJOnqWr6NAwdg2RoGKnXh0Qy0U3Faxhn9nIayQY+kkyuFoNEFLMiMzg2hTcUI9OkM637MdQEwfQN\nAZIBhoTJ7kCxOZOP2ZmByeHCZE2uqioWa6os13rZE8fndu5h0juNLMv8yX13YrNa5v34CUWWr+iq\n6tVAkWW1g26gAAAgAElEQVTWLl9Ma3SC1t/9C7Wbb5+VET2CIAiCMB99LA8vy7JMVdm7JZHXX7OK\nwyeTw7G/9LlPYVJknA47siLTNzCCzWphUXUZLSemqMjN4GRqVdBqUlhdXYjVpJCf4WDBmiysqSTh\nfPvgPkjrkBfdMDjWO07XmA+zonDT0goOdY9hMylsW1xOy5CXaDyB1WwillDJsFkYnU6WsY7OhGka\nnELTdWryM7GaFV463kNehoON9SXsbOoDoCTbxT1rFxCNJ3jxeA8FHge1hZm83jyA02pC0w2mQ1Gm\nQ1EWl+ZQ4HFeylN+DpfNwqfXNxDXNI71JptJqJrOTDhGlnP+dUWMJlSaB6fIdtnwR5L7Mt8vib5U\nkiyjyFYU8/lfO4ZhYGgquhojMhUgNNqHoanpBEw1DBieIjQVxWVRGN31KJMmhWR2dlbSlr7B90/a\nkvs1FZDl5PdK8rNisaLY7OnLfBRV2fAnpcUEInGePNAOSJyeirKw+v1Xqg3DwFATqcccJDTWj6Gq\npDNkpHTieHaybHK4ksnjJSSOHreLSe80dpuVY02tKIrClvVrxMrbVaopfy2re/Yw+NbzlG26Y67D\nEebA6NgYf/f979PV04Ou62zetIm//sY32PHyyzS1tPC33/rWFYvlF7/9LffffXe6m/Cfff3r/OC7\n3yXDPb8PWgmC8MfnqnjXc+D4KfbsPwLATdetY//RUxjAtauWMTg6xuDoGCtrS6nNcRJTNewWE5G4\nSmm2m2UVeew9Pci+9iFcNgv3ravHrHz0VYpFpTkc6Bohy5UsldMNg9YhL1Op8s597cN0jSUbyiwp\ny2UiECGSUFlekceEP0JZjpvxVImoqutMeJPXm/CHsSgyTquZUCxBcZaLLKeVlzqGGZkOMjIdxBuK\n4g1G8AahtiATkPA4LLOSpPkjMXY192OSZcpzM/DYrZTnfrgy2ivlzdODDEwFkCSJB9Y34HbM3b4s\nSZLSozewnZukB6Nxnj7USSSus3ZBKYtLc7FdxF7VuTA2E2ZkOkS+x8H4TIQFhedvwiJJEpLZgmy2\nwAVeiucmy0H08QRGIpFasDx3xfHdxNGJyZGB2ZFcZT2zp/NM4nj3LdvoGRhiaGyCd46cACDLk8Ga\nZYsu59MxK7r7B1FkZVa73l5tpGU3Egm2cfynf0/xNTehWObfASxh9hiGwdf+6q/4zL338v/98Ido\nmsZ//e53+ad/+zfqqi9t/7CmaSjKhzvQ+Mijj3LHbbelE8L/+Od/vqQYBEEQzueqSAhNZ/0RHhqd\nwJ9q2d8/PJo+fWTSR+dYAMUSZ2VlAQUeB4d7xhiZDhJK7R0MRuPEEipm5aMnDIvLcllclkskrnK8\nb5xMhxW33cKgN4jZJFOS5UonhKGYml4ZtFtMjPnDDPmC1ORnIkkQiMbJdFiwmhVy3DaeOdKFrhtc\n31jK0d5xjvSMU5ad3JPpslmoLchkcCqAzWLimtoiNtaXYFLkdDfSy6l12Jse1bGiMp+agiszgP6j\nMKdeH4osEYzHsVtNmC4h6Z8tk4EIkXjqtRhX520yGIomV6UNw6AiN4Mvbl1yWcrvzk2Wz3+5dxPH\nOBFvCH18MLnimNrTefa/Q2Gdk6NBMtxO4oEgsmLCFvMTHO5NzrNUkvMsZZMpOddSMaVON81pSeGp\n0508v3MPAJ/afiN1leUfcA3hYixf1Mje1rVs7nuO7ld+Q93tfzrXIV21dh8+zusHj13W29y6dgVb\nVi8/7/n7Dx3CarVyzx3J1WFFUfg/vvlNtt15J1//0pcYGRvjT//iLxgcGuL2W27ha1/8IgDPvvgi\nv3rsMRKqyrJFi/hv3/42iqKwYtMmHvrsZ3nrnXfYvGkT7Z2d/L/f+x4ABw4f5ue/+Q3//k//xH/7\nh3/gVEsLsViMm7dt4+t//uc88thjjE9M8IU//3MyMzP51Y9/zNbbb+d3v/oV2ZmZ/PzXv+ap554D\n4N677uKhBx5gcHiYP/v611m1fDnHTp6kIC+Pf/vBD7DZbDzy2GM89tRTKIpCbVUV//QP/3BZn1tB\nEP64XRUJ4drli3HY7dhsFnIyMxkcHUNTk0frFtZVU1FahDkWoPN0shtpjttO76Q/3axlZWUBDquZ\nkiwXLtvlWT2yW0ysr3t3H9AXrluILEkoskym00ZcTY6N6J/yo+nJrqVnOowqqf14YzPJ+D51TT19\nk35iieSex77JAIFUwxmb2cR96+pxWs1YTAqVeRnp+5lNVXke2kd86dVUPTVsfT7avLCUshw33ePT\nPHekixy3nbvX1M27eEuz3VTmefBH4kTiKjub+rh2QUl6v+h8IUkgSxKaYaAZBqcGJinJdpHjOv/+\nyst7/2cljhdgGAaH3zmNLxRhbDrILQ35mNGwDzcxOtz8PjcMyRrc5DeyyYScWtlMfliTY0hMZmSz\nNVnKaraclUR+9OQyFI7Q2tlDRUkReTlZhCKRc84TLo9rVy/ndy/uRClbROsT/0L1LZ+7YIm38PHS\n0d3NooZzGwq5XC6KCgrQNI1Tzc08//jj2G027n3wQa7fuBGH3c5Lr73Goz/7GWaTiYe/9z2ef+kl\n7tq+nXAkQl1NDd/40pdQVZUb7ryTcCSCw27nxdde49YbbwTgf/vKV8j0eNA0jYe+/GVOd3Tw4Kc/\nzS9+8xt++eMfk5157gHVptZWfv/88zzxy19iGAb3PfQQa1euJCMjg76BAX743e/yf/3N3/CNb3+b\nV15/nTtvu42f/OIXvP7cc1gsFvyBwBV7TgVB+OMwv95JzhJJkljSUJv+/qsP3s8b7xzm7VSJWGNd\nNXkZFm5vzCdm89AzMYOUup7VrNBQnI3bPrtlhOazVjHz3HZ+f6gDXyjK8op8Mp1WxmfC1BdlpTqL\nGlhMyUTLYTXjtJqpyHNzetiLSZFZU1VATNUIRuM0lmSfUxJq/pAlKx9VWY6bz29s5MkD7exs6qO+\nKPuKdzu9WGZFYUFRFsf7kvsdpwIREqqW3i86X5gUmZuXVtI24uWNlmTDIbfdwjUfMO/ySnNYzdyx\nsoZxf5i2ES/vdAxjMSl8fuPCebXyKkkSJdluZiJxPC4rB4ZChOIJblpS+YHjUQzDgFQXVkPX0GJR\n1Ego9b2ebuaTXJUk1ZkH0uNKkreS/N7gfZNL2WxFSX399DtNDE/NYLVYuPfGDQz29lCa66GytISF\n1eUYhjHvm6Cc7uqhf2iUtcsXz9vGPRWlRVQW5XPav5a6wz+n59VHqf3EQ3Md1lVpy+rlF1zNmw3n\n+z060y96wzXXkJVKzm7cupUjx49jUhSaWlu598EHAYhGo+RkJUvkFUXh5q1bATCZTGzasIHdb77J\nzdu2seett/irr38dgJdee40nnn4aVdOYmJykq7ubhrq698RxxpHjx7lhyxYc9uRBthu3bOHw8eNs\nve46SouLaayvB2BRQwNDw6mRVHV1/O9/8zds27yZGzZvvuTnShCEj5f59Y73CnLY302Smtu6aGpp\nIVv1Y3ZoDPmSfRA/ubqWLJf93VUu3UDV9VnvlBmIxvGFogAM+YKcHJhE13WyXXZUTWdkOoRJkfnk\nmjrcVjOqrrPjaDeRuMb1jaVku+3csXLuBytrupEut/WmHs989NqpPrrHZyjPdWMzm6jK88y7ZBCS\nb1baR31Mh2LIkoRuJA8ezEc2iwm7xZTOh858nm821pewpCyXyWCEXU3JkTRdY9MfmBBKkgSKgnSZ\nDrCkE0ldQ4tHUSNhDF1NJ5fBsWFiwRiaIvPs088xFUn+Xq0wTdH/chOQ6tRqdWCyO1Mf7uRpZiuy\nJbWCabYmVy1nqUJA03V27j3ATCDAjZvW0dk7QP/wKMsXLuD3L70OJOdoPnDXrbNy/5fDdcsX88iL\nY6ysXU7rE/9M1U0PoJjn97xH4fKoq67m1ddfP+e0YDDI6NgYsqK8J1mUUnNoP7l9O3/5ta+95/as\nFss5+wZvu/FGfvPkk3g8HpYsXIjL6WRgaIif/frX/O6RR/BkZPDthx8mlprfej7GBf6gnt1BXVEU\nYrHk1o2f/OhHHDp2jNf37OHf/vM/eeGJJzCZ5t//c4IgzI2r7q/BtD9AW1cv1eUl3HPbDThsVl54\n/S0ARgIxGlJH9qxmExkOK5G4ykQ0Tq7bztOHO5kOxbiuoYTGkpxZizHTYWVhSQ4j0yFWVeWzp3WI\nSFzHbjERVzWIgFmR2Xt6kKlglIUl2URSIzKGfEEaiud+3l/vhJ+4qrGxvoRBb5AVlflzHdL7Smga\n3ePJPZtTgQif27hwjiM6v7YRX3oUydqaQirzPPOya2tC03j6UAfRhEpxlovV1YWU5bjn1ergGf1T\nAXY29eGymslx24nEVern4PdHkpVk11fev8z15jWZtI14Kc120zw4yfTYNHaLCXd+EWZFOWvfZILY\n9ASRqRF0NZGc8Yj07sJkqumObLFitjtQ7C5MdhdmhwuTzZns1npmhdJi/dCjPrr7BzlyqiX5mCSJ\njp5kku0PBLFYzMTjCRyO+feaPeORRx7hjuuu57ev7mG0civOl39I5/M/o/7uL811aMIVsH7tWv6f\nf/1Xntmxg7u2b0fTNL73ox/xye3bsdts7DtwgOmZGWxWKzvfeIP/+2//FrvNxlf+8i956IEHyMnO\nZnpmhlA4TEnReys31q5axf/53/87Tzz9NLfedBMAoVAIu92O2+VicmqKN99+m7WrVgHgdDgIhULv\nKRlds3Il3374Yb740EMYhsHO3bv5H3//9+d9XLquMzI2xrrVq1m1fDk7XnmFcCQiupUKgpB21SWE\nT+54jQmvj3eO2rjn1m0cOdVKWVE+0aAfk2qlNNtFXWEmWU4bCVXnyQNtqJpObUEm06lVrp6JmVlN\nCCVJYlNDafr7T6620z0+Tff4DFazwsb6EhxWM6+e7AXAG4qxoCibmXCM5RV5sxbXxeqf8vPKyR4A\n1tcVc/PSyrkN6ALMisLCkhy6xmfIddt55WQvS8tyKcpyzXVoFxRNaPRMJGdROudZcxlVM4ipWupr\nnfqirHkX4xkdoz5UTWc6HOOWZZUUeJwfav7klZJht7CmOjnvND/DTm1BFrluW7oE/GL3TcJZTXc0\nFc3vJeodw1BVDE0DWUJCSq1AJFchZLMVk92ByeZMzoe0uzDbXcgWa7rEVUmVuOZmZaYTv/LiQkbG\nJwmGwhQX5HHHjZsZnZhkQXXFrD1Pl+pnP/sZD952GxtXLGbnyRb+bNVWmn79fYpWbyWjfMFchyfM\nMkmS+J//+I/83fe/z7/99Kfous71117LN7/6VXa88gqrli/nr//2b+kbGOD2W25hycLkAcT/8uUv\n87987Wvouo7ZZOJvv/Wt900IFUVh88aNPL1jB9//u78DoGHBAhbW1/OJ++6jrKSElcuWpS9/3yc/\nyZ99/evk5ebyqx//OH36ooYG7t6+nU+lylTvvesuFjY0MJgqD/1Dmq7zV//1vxIMBjEMg4ceeEAk\ng4IgnEMyLlR7MI8NDg6ybds2du3aRWlp6QdfIeXHv/kdU74Z7DYrVouFaX8AWZL4xPolPPb7HSgW\nK+tqi6kp8DDhj/DqqV4AqvM9SJLEZCDCpvpSSrKvbMKwr32IpoFJADY1lKJpBu2jXsJxlU31pVTm\nzZ+RDj0TM+lkdXFZLoUeJ+W5GZc0rmO2JTSNn73RDBh4HFY+vb7hA69zpRmGQduIj4Sms79jGN0w\nKMpyzYvy4D/UMz7DoDfARCDMhD9CXWEWWxfNv06Yg94Au5r7cVktxBIqgWiCTQ0lLJzFAz6X0+hM\niN7xGeqKsmataY+uqak5kSq6lsBQExhqMnlMb64yAAxkk5m4bEE12cjLzSEumwkkJMqKC5BN5vT8\ny3STHTnZaOfMZ/kK7XE+43RXDybFRG1lcn/z5s2b+fEPf8Tju9/meFsXD163AumJvwFJYsv3fk9G\nae0H3KIgCIIgzIFLPMgz/w6Fz7JPfeImWju7qa0sY8/+I0z7A7jdTqKpvW4AY/4QB7pGkCSJ+qIs\ndAPW1BTivkwdRj+KkiwXzYNTmBWZjlEfo9MhFFnms9c2zrsuk1V5Hq5vLCMUS3Cyf4KmgUmq8j3c\ntKQyfZlIXCUQiZPvccxdoCmGYeALRnHZzASjcbJd87OkLa5qTAYimBQZWZbQtfnbubUq30NlXgY/\nef0UkCzNnI9Ks918YdMiRmdCPHu4E4C+Sf+8TggNw8AXSr5eXzreQ1zV6J6Y4YENjbNyf7JiAsWE\nchHNNg1Nw6Ql0NU44fEBQpEY08EI5iErhwZm6POFWV7soS43NWPzzMs3fVzy3e6tkmJKlq6azMhm\nM7LJku7gKpssqdPMZyWY8rvJ5ZlEU0mdJyvvKX093tLGi6ntAnffuo1AMITZkcGR012YFAWn3cZL\np7r5/nef4I3v3MNr37iZVV/5HhVb7533DXwEQRAE4cOYX5nEFZCdmcG1qc5ln7xlKx09/bz25n5e\nfvsYlVl2igoLSGhasqzKMMjNcLC4NHeOo4bKPA+f29iIIsnsak7uy9ENgxFfkL3tQzitZravqJ7T\ncrcJf5gT/ROU5bhpKE7uazzSMwZAOJZMAKfDMXLcNp480E40rrK8Mn/Ou2TuOT1I27AXl83Mbcur\nKJ6n5aJHe8dpHkyuEq+pLkRR5AsOfJ9LJ/on6Bj1UZ7rJhhNsKRs7n+HzmfQG6Bj1Eehx0lM1VhW\nPvdl1xeyr32Y5sFJMuwWTIpMXNXe0+gqFEtgNSlXfN+mpCgoioJisRFLaDx/vI1IPEFdYRYdvjhg\notmnsrTx/X/n091bjWSDHV2No8UjZ52W/DjT4TW9Qnl2gvZubgkYGAapfZTSWYmlieERP1HvOMgy\n+3fvpHd8Gos7G1M0gBGPUFecx/GuAU5PhtnyD09x+F//mgM/+Bojh3ey6qv/A4vLM6vPpSAIgiBc\nKVddQng2s8mE3WYlFIlgYKDpBmMzIaKqRlGWC7vZNC/ecM+EY+xrH8LjsLK+rpjNjaU0D01R6HHS\nPT5DNK4SjasM+4JU58/dAPi9bUNM+MN0jSX3trUOTVGd78FqUqgrzOJ3B9uJqxqVeR6iqSY4U4G5\nn6E2nprnGIwmyHU7Zn1G40d1ZvSJJCXHqjutZmzmK1tidzE0XWd/xwhgEI6pPLhp/jbqMQyDV072\nomo6DquZz8+zpkK+UJT+qQA1+Z70DNTRmRAA/kicu1bX4g1Gqch9t2S8eXCKt9oGcdks3LO2btYO\nEo1Mhxj2BWkoysZpe+/exZiqEoknKy8CkTglWS6GfEGq88+fSKW7t3L+BjsflZFKKs8kkw35ThIx\nD7IECjE6IkF0TSU7PMp9pQ50A7oHFH730mt8eWURFdd/Eosrk/43n2P06B7q7/wiWdWLUawOFJsN\n2WzHZLOlVzQl2fzuOBGT+aLmTQqCIAjCXJi1hPA73/kOb7zxBjk5OezYseM95xuGwXe/+1327NmD\nzWbje9/7HosWLZqtcM6rvLiQhppKRoYGcYUjtE/6AVhZVZBu4jDXjvSMMTAVYGAqQHlOBmU5brIc\nVva1D5Fpt6YbixRlzu3KVqbDyoQ/jMNq4lDnKL5wsgnPg5sWEYknkh1SSY6jWFNTyPhMmLU1c/8c\nb6wv4VjvOJKUHEGxpCyXqgu8aZ0ri0tzyXLYGJ0Jcbh7FAC1sWxedJU9myLLFGc5GfYFyXZZaRma\noiY/E+s8TF4lScJpNTMTjuGaZ41vdMPguaNdROMqHaM+NtQV0z0+Q31RNj2mGfLddk4P+8h2WlF1\ng2cOd2Ixyenqy2A0ji8Uoyjz8v+ZjyU0XjjWjabrDHmDbFlYxkwkRkmWK530ZNitXLughOHpIKuq\nCsh22khoybE9w74gYzNhGoqzr1jJuyTLSMiQehkqwOr65N9MwzBwZHjY+8YuFlZ9AlIx3bgQnjre\nx4BmY0G+h5pbPkveorW0PfMTmn77j1Rsvpf8pRuSY0M0HQw9dWepxO/s1UoDFLMVxWZDsVhRLHYU\nqw3Z6kCx2pLdXU1mZMWMZDK9WyKb2nspCIIgCLNl1v4nvvvuu/nc5z7Ht771rfc9/80336S3t5dX\nX32VEydO8PDDD/Pkk0/OVjjnpSgKToeDqZkAkpbApMjoukFRpvOKx3I+BR4HHaM+zIrMuD+MgcHh\nnjFmwjFmwjEe3LRoXuwjvL6xlAVFWWS7bBzsSiaELpuF5491MROKUVOQiSxJrKoqwOO4iA1JV0hx\nlosCj4P/3N0EGMxEYvMyIQQoyXYRjL07o0rV9TmM5vw+sbwabyjCM4c7GfIGGZgKzNtus3euqqV9\nxMuxvnF+9VYLt6+oIdM5P16fup7MKDTd4OUTvSQ0DZfNwmevbWRXUz+dYz4ARmZCjKVWDpeW5RFN\naOS4bBTM0h5dSXo359F0nScPtpNQNZZX5ONxWBn2JUfNLC7LZXGqXHgyEGHEF6Q428ULx7rRDYPR\nmRC3LqualRgvxv7OEdpGvCwrz2N5RT6J4PQ5519bXcBrp4fZ0TTAf9mSgSxJZJTVseLP/o62p39M\n7+tPoEaDVN1w/wfeV7K7q4aha6iRMPFQAENTkx/p32PpnE/oBkggK+Zk8mixYbLYUGx2ZIstmVRa\nUiuQJhOybEp+VkzJrrNKcpVSEARBEC5k1v6nWLNmDYODg+c9f9euXdx1111IksTy5cvx+/2Mj4+T\nn3/l59WdbG0HknMINy+tYcIfmVeNRRaV5lKc5aJpYDK1MiRRne9hJhyjMNM5b8oGFVmmNDvZ5ej6\nhlIWFucQiSd4OdVxVNV0bpnDN38Xosgy+Rl2xv3hWXsTfTmomo4vFKUw00lVrmfeNj+RZQmH1Zxe\nrUpo8zNxBbBbTGiGQSyhARp9k34ynXO/j1CWJG5fWUPfpJ/agkxeON5NIqJhMck0DU6mkwZFlqnI\nyaBvwo9JkWkoyWb9guJZjc1iUrhzVS0jviBZTisvHE+OmRn3hzneNwEYBKMJKvMyGPYFWVaex4sn\nelA1PdlISpLAMJjLAkrdMDjRNw7A8b4JGotz4A9W4iyKzPbFZfz2cDfv9IxzbXUBACabg4Wf/gZd\nL/2KwbdfxFVcRd7CtRe8v+RoEBNgAsuHO+BgaBq6rqGrMWKxMPq0mk4uz27IY2CcVZZqpFYok3sn\nFbMtOVvSYkUx21CsFmSLPT17Mtnl1YQkm5KlriZzKqk0iRVKQRCEj7k5O3Q4NjZGYeG75YKFhYWM\njY29b0L4+OOP8/jjj59zWjwef8/lPoxJr4+3Dh2nvKSIdSuXsP/AYcqzHexpHQIMIgn1nK6Ycy3L\naTurQYTBotIcNtaXYDMr83Jfyrg/zEsnerGYZPI9DgKRBAtL52fyousGr5zqZSoYZVVVASsrC+Y6\npPM6NTDJib4JAOqLsudtl9FBb4CjPeNU52fitpvnbeJ6RnVeJqeHvciSRIHHwelhLyXZrjntLAyQ\n67aT606Ok7hzVS3/P3vnHR9Hea7ta2a2d+2q92pZkuVeABtsTA29BSeUkEpIIZCcQL6QDgmpkMNJ\ncnJIIwkhCYSShBY6GIPBvWHZkiyr95W0vc7O98esVpKxsA22tAl7/eyfdqe+2+d+n+e5n95RP009\nbl7b34MkCpw5rwyXxYjDrKcsR41gHWowMxNjO7mmkAFPgJp8ByP+MOFYHK1GZGOL2hctFI2ndIsk\niFy4uJIBT5Dagpmt0e4Z8aPXSmRbjYiCQHVeFq0Do+TZTdy/YS+OinkMByJkT8q4OLk8h9cODPC3\n7e0U202UudRJL0EQqTr3GrxdLXS9+vgRBeF7YdysB+2xvx8VRVHrJ2VVUMqREEoiKShlWa2rVM8y\nqYVIam91jSgl01z1SQGpnyQmDf9RUcq65cuZU12NHI9TWVHBD7/zHYyGo58g/v2f/8y6yy5L7fOp\nL3yBu773vWn7/v3s3nsxmUx84tprj+r4jz7+OD+65x7yktdKtdXV/Oj227nn//6PZYsWccqKFVx7\n/fXcevPNNNbX83+/+x03fPzjRz3+Y6G7t5cbbr6ZJx566IQcP0OGDDPHrH1LH6794XTCZt26daxb\nNzUlZ7wP4bvlmVc20tHTx96WNi4+azUOmxlGxpBEATmhoJ+hi6pjYWllPkadhmFfiMe3tVHgMHP+\nogqkNBQFBwY8RGJxIjFYVJZLWY4Nky69arTG8YQidCZrR7tH/CxNk9rRwzG5wXu6NnsHeL25l9HA\nRA1pOqQ0vxMOsz7VtuHhN5tx+0Op1Mx0wazXUpOfxb7eEQAUBIqclpRpjEGrQZ6lFOLKXDvb2gdp\nG/SwrDKfbJuRHKuJhzc1E4zEyLGZOLmmkJ5JJjT59plNy9/b4+bVfd2AwAcWlqeex2tW1bOvd4TO\nYS+CKNHnC+F0mFjf2o8nFGNRsRNT8v37i1f3cds5C3CMGzyJEllVjfS88cyMPpZjQRAEBEkCSQLe\n3QTHeI2kkpCJBwNEE95UqutRRyklTcpcR9SO304KRm1SNEpaRCnZUkSaaB0iiCKCMN5ORJzUWkRK\n3T5ePSwNej3/+POfAfivr3+dvz78MB+75pqj2leWZf74l79w0XnnpQThr//nf47LuCZz3lln8c1D\nynFuuuGGw2577333HbMglGVZnYDIkCHD+4ZZu0rLz8+nv78/db+/v39G00WdDhsdPX2YjAY272qi\nb3iUyGiAsxfNoXvUx6A3xPb2QRaVz3wK63RoJZGFZbn8fUsroNA35scXiqVNvdNkqvMdHBgcQ6+R\n2NU1zPp93WnRYuJw2Iw6ip1W+sYCGHUaHtnUTH2Ri7o0jGrNKcgiGpfZ3zeCN/TeouQnknyHmdFA\nGKtRx2ggjEFrTstI9jhuf4hXmrqxGnSEY6oDbjSutp+Z7XHH5QSvNHUTjsU5ra6Y0+YWsbd7hLIc\nG8O+EF1uH/VFLnZ0DLKvd4S6IhenzS2e0TGOBMJEks/bWDDC4go1yn7F8jl4ghHy7CYODnkJx+LI\nykusj7sAACAASURBVOyIVl94/POi0NQ9QvuwB4Bcm4nagix6RvzEw0FkOcHBYR/7BtT1ml5BTct1\nWugY8fPTF9/ic6fNJTcZHQ2NDqKzzr4b9YlkXHS9W+fXiXYiarQykUiQCIdQEoEpzq9KchuUBMP7\ntjK8b8uxjVMQAEH9m/yv3hYRBIHC5WdReNK5h4hOKdWnUhAlFEUhMuYGUWBRXS3NbW3Egn6+8LWv\n0z84SCQa4yPr1rHusssQRJFFp57KR6++mg0bN7J61SoGh4a47tOfxuFwcP+997L2wgt5+P77cToc\n/P2JJ/jtn/6k9jiurubHd9wxZfyd3d1854c/ZHR0FIPBwB1f/zpV5eVH9dj/37e/zZpVqzj3zDNT\ny37ys58RjkS4+KqrqK6s5K7vfpd/PPUU9//1r8TicRY0NPCt//f/kCRpyuP4yhe/iEGv5wc//SnB\nYJAsh4Pvf/vb5GZns6epidtuvx2jwcDihQuP6fXJkCFD+jJrgnDt2rX86U9/4vzzz2fnzp1YrdYZ\nFYTnrD6FudUVZDuz2PnWfjo7O7DoJAqzzGxu68cbirDJH6K+yJU27oivNHXTMeyl2GnBE4pQ6LBg\nM81uStt05NpMXLuqnkAkxp827AWgc9iXloIwGk9Q7LSypCKPJ5LOia+39KalIARoHRhj2Bdiw/5u\nyrKtqXYE6cSptUXUFmTxzM52Ht92gPoiF6fOsEg5HDE5wav7uonEZU6rLUaSBKJxmV2dwwx5gwx5\ng6yoLiQUjVGRa591MQjQNuhJmcdsaRugZ8RHMBony2Lg1f09JBIJ+sYCqRYuLf2jMy4Ii7OszC10\nMRYM4wtHeWRTC2vqi+l2++kd89NQ5OK53R2Awog/zIWLq2Z0fAALS3OJywkMWg0FdhOdbjUrYMQf\n5pWRbpZW5vJPrY43utzk2IwYtRpCMZnKHCuNRVkM+yNYDRp++3oLd7/4Ftcur6I+38FY216y65fO\n+OP5d2KincjRo7PakY4hRVZJRSOZiFgqCdSgeRwUCI8O4ml7SxWgKOp2gjAlTVZJyHRveAI5keC5\np55iSXUZnS8+wqdPnovVvJBwNM4Xf/UrahNDWE1GgqEQDm8vP7rqXERJ4iGrme9/5GIcNis9rz9J\nPBJiYNsr7PcH+Pm99/PLr95MlsOOLxjGvW8bIfcAQtCI5+A+vnr797ntM5+irLiI3c2tfPP2b/Pr\nH3wPRAFBEBEEkVjAx1PPPsuWbVsBgWs+eDmXXXBBqqY0Icuph/PlG2/kgYceSkU8Dxw8yNPPPcdf\nfvc7tBoN3/7BD3j86ae55IILCIZC1FRVcdMNNxCLx7n2+uv537vuwpmVxVPPPstPf/ELvv+tb/HV\n73yHb9xyC8uXLOGH99xzDK9ohgwZ0pkTJgi/9KUvsWnTJkZHRznttNO48cYbicfVGeQPf/jDrF69\nmldeeYWzzjoLo9HInXfeeaKGclhEUaSipAiAVcsXYZfiPPyPJ/nLxn3k2014QxFybSZ0moliel8o\nSlOvm2KndcablwcjMfb1ugEY8oW47tSZb9FxrATCMXZ3D1OUZSEQjbO0Ij1r815p6qJj2IsoiuTb\nTfSO+inKsjDkDTIWjFCZa0+r3oRZZj0DngAmvTZtJisORRBUU5lQMmrk9odneUQqbYNjtPSr4mqz\nrp/2IS+RWJya/CxAwKiTqM610+H2MjAWJMdqnPXXPsdmRCOJxGUFnUYiEFF7+/WM+NFKIpGE2sph\nUXkub/W4mVecPeNjFEWB1XXFdAx7+ddO1WBmU2t/SnSFInF0GpFoXJ619GG9VmLlnKLU/atW1uEL\nRfjH1gMAhGMyCBOv9YeXVBCVE6l2JKXJ7/wvrm3gtxtb+OWG/aytdJETCaKzzF7/1/9U8hasIm/B\nqhk/bzQW58Zfq47n86vKufisNWg1Gh588gVe3dUEwLAvgFvWkJedjyiKnH7yMrWee1yICgIJOQ6y\nGu2M+T1s2v4WK+uq0AZH8QXcoCh43N2ER/pBp6Nr+6vsatrHl7/z3eRIFGJygr7Nz6uCNVnfOdra\nxMo5pXz2gjXJ5SE6nv8bvt6DDGxXOBjtI+zup2fDU1i6dpCQ43S++CiiRuLp17aya+cOLrniUkAg\nEotjjAVwVxciiSIrKgrxdDTT1t1Dc0sL113/KfWxJBJkO50Mdbfj9XpYOKeSWMDL+WvXsH7DBuRo\nZFKUNX1+KzNkyHD0nLBf5rvvvvsd1wuCwLe+9a0Tdfp3pKO7j4FhNwvq5qDTaQmGwoz5AsQTCoqc\nIM9uZmFZHjk2A4IgMOgNYtZreeGtTgY8AXZ1DnPtqvoZvRg36jQUO610j/iwm3T8+fUmChwW1tQV\np0UU43Cs39+drM0TuOqUuanG6ulAl9vHK01dZFuNyJPqWXOsRvQaicbSbP6+pZWEojDozZ5yITnb\nOM0GcmwmVs4pRJuGdR4JRWFjSy++UJSF5bmM+sOpFMLZJts6Ia4MWimV5hiTE6rwEgTa3V5e29+T\n2mdB2ew6jmaZDVx1Sh1yQo1u+UIRvKEo4Vgck17DvGIXjSU56LXSrNe/ZluN6kRANE5Fro1hf4hg\nJEaew8TahlKGfUHKctKjpYtZr0WnEbEYdPjDUSwGLVH/GHW5NhaW5aDTSIc16MmzGvnyGfP4+84O\nXjwwwNmWQnjzWRzl9Tgq0qfmNMO7Q6fV8puvfn7Ksh3NbWzdf4Bf/Nf1GHQ6bv7v3xCNqRMzOo0G\njXZSKq0gIOl0aAzG5H0RrcmMqDegicbR2aZOHmiMZrR6PfqsHCwmI7/9xs3vPD5LDxqjD6Nr6neq\nxmBEb3NgzM5H1OrQ2exoLepnTdBoSCgJEnKMM5c08IlzV6utThQFRUngad+LViMxtn8rKAncA8OU\nuGzcfd0FU3pq9r7xLHIkTNcr/wSgv3+YmN9D+7N/mfT4RURRRJC0CJKEqNGoNZ4aTWrCRUBQU5DF\nZEovIohqWq8giskUX1K31f/JKKkoAmKyrlRQ9xMFBA5NEz5M+vC4cdL4Noz/J5VaPHF74vWceGlT\nC6e83lPXTd7nHdaN73eYYx3zOVOPJ0OGd096Oz2cAMa8Pv7yj6dJKAp9g8P4/AE6e/upK84l16JD\nNJjwhqJsPXgAl9VIebaNrQcH0GmkVO88SRQOdSc/4QiCwPmLKpETCR7f1oYvFMUXGmFRWW5a1hAC\n6JJiRSMJSFJ6fVnt7homEIkRiMQ4o6EUk1aDw2xg04E+QBUIiaRQVNsRpAejgTCvJ50btx4c5LyF\n6dfGo9vtY0/XMAAGnSatWo24LEY+fMpcZFkhnkjgDUWJxhOY9Vrah9SaMeMksx5NGrxvIzGZtkEP\neXYTFoOOcxdU0OX28dSONgA8FuOUyameET/b2wcoy7bRWDqzYtas1/Lhk+cST4rX8hy1PU6uzYQg\nCGn3XSWJIhcuriIYifHk9jb0NifuYBT7ESavdJLIlYsrWFDs5J8bo9Q3PcLu+3+AuXYZc8+4DFP2\niW37kWFm8YcjWE1GDDodnf1D7G2fvqWWSa8nGI5gt0w1TVpcW8k3f/Vnrjh9JXaLCW8giM080eLI\nbDRQ4Mri5W17WLN4HoqicKCnn+rid1dmIQgioiShkSQUSUIj6VjaUMfXf/UA685eQ5bVjjcQJBiJ\nkO/MBgSMLrVsp8aRjfdvz9LmjdJQWUpclukaHKaiuBSr2USrJ0RjVTmvbtiBoNFgzJ6YiJpSL6qo\nojMhx0nEY6oATaX2Ksn7JCOrSvKfMinld9L2U7ZJ7p86ZwJBmXDJVYSkWJpiXniIi+4k36PD3p+8\nbPKOb/dDPMz2kzjs9uOR5Om3O+wwpmHKQxDEpOBOClx1YVJMHyp6kwIcIamfk2JcVN8/KVFNUngn\nj3eoiFdPO0nIp0T44cR88pjTCXp1cNOK+uSjOYKwn7wfhwjoaSYNkuedmDiYeG7Gb/+ni+73nSBU\nxr+AgFgsRmevamzTM+TGtPNJZFlmn6mMgNaMX9QgO81gzCUal6mIdJOv01DgMBPuPUjcaEZrsaEx\nzJxbniSKVOTaGfAEyLGZCESjbO8YpCrXTmm2bcbGcTScVldMlllP29AYW9sGWDmnCFFMjw9UdZ6D\n7hEfDpOeN1v78UeiFGVZEQWBhKJQkGWmJj+LEX+IBWXpYyxk0GrQaSSicRmNJLCna5iqPEdauXja\nTXq0kkRMlonFZe7fsJcSl5XVc9Mjmm3SqeLvmV0diKLAxUuqUBSF/X2q6+SCshxq8rOIyzJVeTOb\nChiNy4z4w+TYJlJVX27qon3Ig0YSWVqRx+a2AXJtRvRaDZFYnEKHmVA0nkpzf625h9FAmJ5RP9X5\nWTP+3tBIYqpFjkGrwWBXzx+T5ZT4TgdicoK/b2llxB/mpOr81HfTsXxF1eba+dKFq3i5qoTmVx+n\nsnk7W/dvxlTWQOXKD+CompcW7/kM743ldTU8vmETn7jzZ5TkZVNfPn2N7gUrl/KVX/4Rl83KT2/6\nRGp5RUEeV5+zmpvv+Q2iKFJTXMD/u/byKft+7boP8tMHH+f+Z15GlmVOX9L4rgXhxHiW8Yk7f05N\nSQFf/+iVfPyCM7nl579HURQkSeLmKy8k3znVFEmr0fCdT36Yn/3tCfzhCLKc4IrTT6aiII9br7mM\nHz3wGAatlmV11W8737upF81wfFANmVKFtBPiebIwPlSUJ5clFCARn7Lv1G3HlyuHHPMwQn7yecZP\n8w6CfnxbQVHfNePafrxf7QSHaY0znbBncgr3IdtMty/KlGVqprYyaUNSEfBxoStKUlJET/xHkJJa\nWKPKaUmjinHECdfk8W3F5P7CJPdkUVTdlFNCfFzEJkV48nmYLLABjNO0tjlaBOVw/R/+DRhvO/HC\nCy9QXHxsBgoHu3roH3SzaF4tG7fuYn9bB3kWPa/+6wlQZAribryyhDM8xNziXPqr15BlNhD73ZfU\nWa5J5C8/k+rLPo2SSLDlR59D0hvRGC1ojCY0RgvO+mVkz1tBIh5jaMeG1DrJYEZjMqM125C0xz5r\nHo3LaCWRP7++D384iiiKfHx1w6zXOx3Ky01d7E/au39gQUVaiVY5kSAmJ/jD+r2AQpbZQK7NRCga\n56zGskl9H9MHRVHoGwsQicm8tLeTmJygMMsyKyYd0yEnEuzsGEQUJVoHRlNmJ1etrJv1vn7jbDrQ\nx/Z2tSn5SdUFZFtNOM0GxGT0//k9nQTCMU5vKMFlMc7ImBRF4W9vNjMaCFORa0/1QX1yRxvdbh+C\nIGAz6vAEIwCc3VhOKBqnPMfGw5taCEVjzC/NIRKX2d87gsNs4IrlNSfkO6Fj2Is3FKWu0HlUn5NA\nJMYjm5oJRWXW1BdTW+BEURRa+tVWPzMtvAGGfSEe2dQMQIHDgsti4NePPsU9H72E7QNeQjGZU6vz\nsB6lgA1G47y4q4WeLS9S4d6NUQ6hdRZQufoichpWJF06M2TIkCHDvyMTgltJ/lGYGsVOTIjlVIQc\nUkI6ta9y2H1Twjp1jOSJp8yuTBLFh4jjqg9PTXU/VtInrDCDVJQUUVFSRCgcJhqLM7+uBm00gDE7\nH0mnZ0HtqTRMMmaYn/wbueVnxMNB4iE/ckj9a3CqefyKHMde1YgcDhAPBYiMuQn0dWLKVcVqPOin\n5eH/fdtYys69ipI1lxIeHWLPr7+DxmhGMprRGFRBmbtkNfbyOmJBH2PNO5GMZrzoeakriF6nQ6/T\n4wcsem1aNinPs5nY3zuCTiORZT765r4zgSSKSKLIytoCDgx4yLYaU6mOb/W4WTDD6XZHwwtvdXJg\nYIx8h1md0QPkhMJYIIIgkEprnmmicZlBb5Bcm4ndXcNsaRsA1Eis2xeiwGHBnEZ9KOeVZDMWjCAK\nAjs6hwhH48wpcHJ6fQltg55UX8o9XW5W182MY6ecUBgNqGJvyBtiY0svwUicFZX5aJPv1Rybkc1t\n/eTZTKkJgU63jVBUnaga8oVwGHU4zHpOry85IWJw0BtMGcf4w1Hml+agKMrb3G4VReGlvV30jQWo\nzLUTiqqzz90jfmoLnDT1jiT7AqoTwZW5MysKXRYDNflZDHqDWI1a9nQPozXZ2N4zyv4RPwC7erSs\nrDy6+leTTsMFS+vwNVbzYlMXTdtfo2pwK7HH7qXl+YepOv1S8hasykQMM2TIkOHfEGFK2up/Hu9L\nQTjOhs072LpbbYlwwUmNnFKWxZhgoMh5eAdRvd2F3n74VgSiVsecD3522nNpzTaW3vpz4iFVMI4L\nS0uRGtkRRBFraU1qfdA7QjwUwF6luokGBrp55qmniUlaBEWh31IGwKr51SydvwCTp4ft//1faIzm\n5H8LGqOZgpPOwZhTSMTjJtDb/rb14jHYeh8ru7uGeaO1j3yHmbPmlWFKk1SxyURiMjs7hvGHoxi1\nEx8HSxqOFdSLaYABT5BTawsZ8ATJtZt58I39CAJcsKhyxh1wAZ7c3sagN0iOzUTZpChwRa6DVbVF\n6LUahn0hOt1eqvMc2IyzW0tm0mk5u7E82RZFdQ4c8Yd4vbmXcCyOQachGpMpy35vKRjHgkYSWVNf\nTNugB6fZwI6OwdS69mFvMt1d4eqVdYz4wzy+TXXHlBMKK6oL6B8LUOy08FqzWmO6q3OIM+eVHf+B\nTpqR9AQj/Pk19fk7b2ElVqP6ubEZ9YwFIylH176xADX5WXhDUZxmA8/v6Zhi2CInZj5RRRAE1jaU\nAtDU46a5Tx1rlkmH1iMSkxXyrMceHbbqtVy8sJJwQxmvta1l2+bXKe99k8Q/f8OBrRtYdtUX0Bln\nrswgQ4YMGTJkOBLva0Fot6oXzoIgYDWbGAvF2D8WpG3Aw4dOrj2uAkaQpFQ08XDo7S5qP3TTtOuH\ndNl4F15EIiFTaoKoP4KUiFNfU4Urx44/MowxuyAZnRwm0NdBPBTA1XgSxpxCPAf20PzQz9923AWf\n/wHW4iqGd79B74Yn1OjkJMFYeMp5aM1WwiMDRDwjUwSlqNW942x3U4+bRCJB/1jgHeuwZxNfOIo/\n2bA6Kie4eEk1CUWZFVF1JAa9Qcqzbbj9IbLMBtbvUy/8Y4mJFIaRQHhWxj6WTGMcC0a4sCQbvUbC\n7Q/x3O4OLAYtlyyt5ontbURicVr7x7jypNoZH+PhMOu1nDa3iO4RPyadht1dQwCsqCqgvth1WJfJ\nE0ltgZPaAicj/jC7u4aREwmyJhmxhKJx/vzaPmJygjkFTuJygkXlOTjNRjVSHIymakwLHCdGdOTa\nTZwzvxxvKIqcSNCRjKY29bppG1SNec5fWEm+w0SuzcSgN4TTbAABllXm89SONhKKgsWgZeWcIiRR\noPoEp4x6QxH2941S4rSSn3xednQM0tQzQkOxi8aSbDSSyMvPPUV93jn0hWLE4wmK38NzaNBKnFFb\nxOqay9nScRpN65+msuNlnvq/O7Gd91lOqczHkKZtYzJkyJAhw/uL97UgXL5wHhaTide27mD9trfw\nhdS0q5gsE47JaRXRslvNaAxGFEXBlONAK/kozLKQla+62VmKq6i79pZp93fOXcKCz905EaFM/jdk\nqWmRgigiaLREvaMEB7qIhwLI4SD5y88EYHDbejqff2jKMQVJw4qv/RqNyULfm88xsnfzFMGYr9jw\n6YopclkRfMP43RE0JnWdpDOkReqUy2KgsSSHfk8AjSjQNuhhWdXsWvcfjhF/iL9vaUVRFBZX5KGT\nJFpQIxouixFJEBBFgdqCrCMc6cRwxrxS9veOEpcT/O6VPVTk2pMpzAr+cBS3LzTJxXv2X/fJFDut\nDPtCyRRcdcxZFsOMi8HJOC0G1p1USzgWJ8dmIs9upn3Yg1mvpXdUjRIHIlH6RgN0j/iYV5LNtoNq\nmu6S8jxqCrJOaPpwebJ1RCQmM+QLoShgN+oZL0lvH/Kwt8dNdZ6DCxZXcf+GvcTiMh1DXqzJOkib\nUU9lnh3TDKQSP7e7k2FfkF2dQ1x3agMaSWTzgX4SisLmtn4Ksyxs2N+DObeEbT0jdLh9AOztH2NB\nkRPpPZhhaUSRkyryWFF+HdteykHc8BAbNrzC0001rK7OZ01NftpmJGTIkCFDhvcH72tBCOD1+xly\njxKPhKgyaslyWcmxmnBa0qveLddm4uIlVXhDUd7qdhONy7QPefAGo0dl5a4xWbCaaqZd72pYjqth\n+ZRlSmKiUXPu0jVYy+aoQjElKP1IejWlSonHiPk9hIZ6iYf8xMNBBFEi+9I76Bjy8tJbr2Lf+fjE\nwUURvSObZbf+AoCulx4j0HdQjUwm6yd1dhe5i04FIDSstoMYN+U5XgYNgiBwypxC9nQN81qz2nvO\nYtAyP83qByMxOXWxPRaIYDZoyHeYcZoNNJa4Zr0fYanLRqnLxgPJ9MGDgx4uXFzJaCCCXiOxqa0f\nk15LQ7GL2gLnrI71UF7d302X2wcInNVYitWgI8dmOuJ+JxqrUZfq3dnvCbCnaxiDTkN5jk1169Rp\nSSgK0bhMMBJP7Wc362esllSvlVLmN75wlLFgBEkUGPQFGfQEaRscozTbhlmvZSwuYzFoOauxDLcv\nzKYD/dz/6l6WVeWzuPzE9qmUUg6iAtvbBxFFgbIcGwcHPVTk2Gkf8hCNywiSlkg8gSio3nLhWJzf\nbmzGYdRxyfzS9zRJIAgCi9ecyxtbn+Icu4+tuXb+1dTDi819rKzM5YzaQhxp1Ks1Q4YMGTK8f3jf\nC8KSwnw0Gg1CXMIbidPvGUWbhu6SkVic53Z3EIjEKMyyIAoCBVmWVM3OiWCy6DI4cjA4phdJhSvP\no3Dlean7SiKBx+flwS0dAHjzG1gxbw7xcIBwIMBIIIRDmujvF/OPpdJc4yE/iixjzClKCcKWR36J\n92BTantJb8RWPpeGj90GwMGn7icW8E2ku5rMGF0FZM1ZAEB4ZABRq1NTXTVvf85sRh3j0SFbGl6U\nFWRZOHVuMd5QlP6xAG2DY4iCwFmNZbMuBiczvzSHbe0D5FiNPLOrA4NWQ47NmHKabSzJTomcdGE8\nE0AjCfhCMURBIL2mA1RBCBCOxjFotbQPuXFajOTZzRi0EifXFFCT7yChKBQ7Z67ucZzuER9P72xH\nK4lcurSa3V3DDHqC6LUSrzX3JFNbc+ly+/jL6/uoL3IxFgwD0DHkPeGC8Jz55RwYHCMQjrKtXY2k\nLq3MZywQYdAbpDLXjsNkQI6EaMiz45dlNKLAWChKQlEYCUZwByIU2N/bRIEgSliLqogMdfCpK+bQ\n5w3y3L5eXmntZ33rACvKczi3rghnmvVrzJAhQ4YM/9m87wVhUX4uX/jYhwgMdHPPr+8HrY6mnhFW\nzima7aFNwRuKEoioKa2iIHDewgqyLIa0azMB0DbooblvhLmFTuqKXHS5fSypLEGwGskx6XlsSytu\nOURZto3K5D6VF34stb+iKCRiURLRcGpZ2VnrCI8Oqw6vSUMerXWi7ig42E2gt514KEAiptazZdUu\nSgnCXfd+i6jHDagGQBqDGVfjSVRd9HHahzw8+dxLGASFRXYZ7f5uBrssmPJKsRSpTdWjfo9qwiPN\n3kcm327CbtSn2g6IopB2zrKNJdk0lmTzWnMPXW4f0bhMabYVURTRSuIJq2t7L5xaW0Spy0bvqJ83\nWtW6zPMXVc6KsJqO5ZX5JBIKuTYTncl0xhF/iKtX1qXcPWez7rXL7SORSBBJJGgb9GDSaVhVW4RB\nq+H5Peqk0IAnyHCyBUnfWIB5Jdn0jPhZcpQunu8Fo07DvOLsZI2jWifqCUYYDYRT48+2GolHgrQO\n++gaVQV4fb4Ds16Ly6Qn13p8skbsZbW0v7CT8NgQBY4cPrK8mvMbinlhfx+vHxxkU8cQp1blcU5d\nUSaVNEOGDBkyzAjve0EIsGXXXpr27qXApmc4KtJQfHgn0dkk22pkfmkOg94gggBPbG/DqNPyoZNr\nZ7XW6XC8tLeTuJygbyzAx1bPA+CJbQfo2dtFkdPCiF+9CBtKXhweiiAISDo9km5iltxe2YD9Hc7Z\n8NGvpm4n4jHi4SAkEqlllRdcR8zvJR5WI5DxYABTjir693QP4/cH8coxBpo2EIyOAVBw8jlYij5J\nQo6z6bufBEDSGdCYVMOd/BVnUXDSOcixCJ3P/w1t0ohHXW/BmFuE3uZMpXq+l9q5YV+IRze3oCgK\nyyrzKXVZybWbMGjT8yNck59F26AHURBwWQxcs3IuWklKy96OkihSmWtPiQOAxCy4Xr4TOTZTqtek\n02LgjdY+SlzWtGnyXl/kom8sgF4j0dw/wlgggk4jse6kOdiMOryhGHMKssgyG+h0e1lcnkt1/szX\nu1bm2jl/kToNZTfq6Rn1E4ur/UhbB0bR21wEonFAQBTAZdYTSyhUZ1uP2+RbTsMK2l94iL7NL1Jx\n1joAXGYDVy6u4My5hTz1Vjcvt/Sz8eAQ588rZnV1ftpN/GTIkCFDhv8sTujV5Pr16/ne975HIpHg\ngx/8INdff/2U9T09Pdx2222MjIzgcDj48Y9/TH7+zBp6+AJB1r+5jXgkhCkq8/E184+80ywgCAJz\nCrKYW+jk1X1qrVsoGiMci6edIHRZjAx4AliNOl7e20WW2UC/JwjAoDfEmroSWgdGmVeSfYQjvTtE\njRadZap8zG48edrt5+Q76a2eh82oo+qSCyi1alHCgYmWHIpC5cWfIB70J8Wk+lfSqRGDeNBP74Yn\nUeT4lOOWn/cRik+7kPBwH9t++qVJYlFNay1adQGOmvlEfaMM79qYEpLj2+nt2SlRHIjEJmoIgxHk\nhILVOPV86USuzcS6k2r5y+v7eKWpm5r8rJTFfzoy4Akw4AlQ7LRSk59F6aTWGelGTX4WNbMgpt4J\nu0nPZcvUGuXxZu8AL7zVhS8U5eSagqSDKsDsZV/IiQSjgQgWgxarUcc1K+tQUFNeW/rHQFGoz7Oz\nuCIHSRT45+4u/JEYbcM+PnFyzXERZgZHNrkLVtHz5jPkNJ6MJX/ic+E06blmWRVn1Bbw6I4O7Yvn\n7wAAIABJREFUHtnRwaaOYa5aUklJVvpF1zNkyJAhw38GJ0wQyrLM7bffzn333UdeXh5XXHEFa9eu\npbq6OrXND3/4Qy655BIuvfRSNm7cyF133cWPf/zjEzWkw2Iy6MlxZdHXG8Ksk9jWPkBtvhOzIT1m\n3sdpH/LwzK4OBAE1FUsnUeiwzHo/t8Nx/qIKhn1hdncOsb9PrR1bWJbDgCdEXZGTmvws5sySG+bh\nmFOQRYnLwl837uelvd2pBuXjiBothSefO+3+eruLU777ZxKxqCoYk6JRn5ULqPWORaddNGVdzO9B\njqntLoKDvbQ9ft/bjjv3mi+TPW8FY627GXj4l2TbqojrrRzstuKRzJiy8/nI2kVIQQ+BgS60Jita\nsxWt2YaYBi6usXiCcEytE/WHY7M6liOxYX9PMp1R4PSGkiNuP5v0jvrZcnCAEqeVReW5sz2ct3H2\n/HIODIxhM+p4breaLto26GV+6eyPdUvbQKq/4/mLKhjwhLAYtNQWOLloSRUvPvUYWcZzeL5tEFlR\nMGgl/JEYFr3muEbpKs/6EKMHdrP3oXtY+PFvvm0Cq8Bm4rOnzmVbt5uHt3fwkxf2cMWiMlZV5s36\n5zpDhgwZMvzn8Y6CMBKJ8NJLL7FlyxYGBwcxGAzU1NSwZs0aamqmd6wE2LVrF2VlZZSUqBdX559/\nPi+88MIUQXjgwAFuu001BTnppJP43Oc+914fzzEjSRIf/eBFdLU08Ye/PELfgX663D4uXlJ95J1n\nkNFAhPFec6P+MNF4gqgsH3G/2UArSRQ4zHS7fRwc8iCJIooiUOS0UJHzTomfs0dcVojG1RTT8b6E\nx8LkNFe9fWrKsc6WRfm5V027r71iLiu+8bsJsZgUjtYS9T2oMZpxVNZjDvqRQ51siRYQFeKYnTmI\ngsBoyy5aH/nl1PFotCz8/A8w55cy0rSVwe3r0ZptaM02NGYrWpMVZ90SJJ0BORpBEMXDmu28F8wG\nLafXF9Pp9rGk4sTXib0XnBYjw74QJr2Gjc19iKLAyjmFaRd9B3i9pRe3L0TfqJ85BVlpkzY6jtWg\nY2FZLglFoTzHTu+on/qiNEnDn6Sldne66XSrPRRDkTib2/qxFs9hc4+b7jG1hnBBsZNlpdnHrX5w\nHK3JSsO6m9n1h++z54EfM+/qW94mCgVBYElJNnPzHPzhzVYe3NZO50iADy2pfE9tMDJkyJAhQ4ZD\nmVYQ/uxnP+Oll15i+fLlLFiwAJfLRSQSob29nbvuuotIJMJXvvIV5s6de9j9BwYGpqR/5uXlsWvX\nrinbzJ07l2eeeYbrrruO5557jkAgwOjoKFlZU6NHDz74IA8++OCUZdHosV+0T0d33wBDI57UfYH0\n+7GtL3LhCUWQBIFBb5BBb5CeER9VuY4Zs5g/VpZW5lGQZWbIG2LTAbVthCQKLCyb/UjBofgjMUqc\nFnRaiWWVM5u2LIhSMrJ3eBMTS1Elc678fOp+bUxmR8cgZdlWDFoNroZlmPKKiQd8xAJeYkEf8YAX\nnVX9HMUCXvy9B4kHvMRDgdRxln/9N0g6A90vP0bXi48g6Y2qWDTb0Jqs1F3zZUStjrEDewi7+yeJ\nSVsqEvlOyIkEe7rdDHmDuCxGsszp1coFoKnHzaa2fkpdVi5aUk3PiI+tyX5+TrOBBWXp5jcK+XYz\nbl8Iu0mf1o3NRUHgnPnlKIqSNlGtpRV5mHVaLAYtQ75QUhAKjAbDJBRFnRhBQCuJJBQoy7JQ+B6d\nRafDWlRJ/bqb2PvQPez6/feoW3cT5py3p9OadRpuWFXLU29186+mHhKKwjXLqtLmOc2QIUOGDP/+\nTCsIGxsbufHGGw+77mMf+xhut5ve3t5pDzxe7zSZQ3/Abr31Vu644w4ee+wxli5dSl5eHhrN24e0\nbt061q1bN2VZd3c3Z5xxxrTnP1o6evr4yz/+pfYhdJnIzsmlJt9x5B1nGI0kYNRpkGWFHJuRQW8Q\ni0GHSZ+epiKgvt55dhOBSemC6WiCEorGeWJ7G4lEgtJsW9oK7HG2tQ+wq3OIg0Merlg+R00VLZ3e\nETNv6enkLT0dAEWW1QhkwIvWpLpSOmoWIGq0xAI+YkEv8YCPeNCPkIwYDm1fz8CWl6YcU9TqOeWO\nPwHQ/vSf8HbsR2OypqKQekc25gWrGfIGkaMRWjp6aHDpVKfW4xyJfC/s7BwiHI3T3DfK/JIcdBop\n9T2Vbr1Ix1k5p5C6Iic2oy4tXYbHkRMJntxxkP6xAKtqi9IiSiiJYqp2udRlw2bUEQjHMOm1hGMy\nr/vHWFrsZFllLgqgP8ER4qyqecy7+haaHvofdvz621SecxX5i9e87bdSFAQumFeCIMDTe3uYk2tn\nRXn6TVZkyJAhQ4Z/T6a9Ol+zZg2gpo3q9VMvkEdGRnC5XLhc0//A5+fn09/fn7o/MDBAbu7UyFBe\nXh4///nPAQgEAjz77LNYrTNr9R6NTYgVvSTSWJqdlo5uLf1j7GhXa1+WVeVz2bIabEZ9WvWgO5Rg\nNMYjm1oIRmLUFbkoddkoz0lPs47xVzwWl9nY0ku21Zh2xh3j9CXT2TzBCKFo/Jj6+gmShM5in5Ke\nZq+ow15RN+0+lRd/gtIzr5wiGBPxic+NZDAhiBLhkQH8Xa3Egl4MWbksXnEWdUUudr/+CrqujWx6\nWo28CRotttI5NF7/bQAO/PN3xHxjSAYTGqMJSW/GlFuYMgLydx9AkDQT63VGhOMkhGoLnGw60E++\nw8Q/trYSkxPUF7mYX5qTthMDgiDgshhnexhHxBuK0jfqB6C5bzQtBOFkRFHAoNXw8t4uAE6bW0yg\n76AqAmcwVdheOofFn/4u+//+K1qf/D3921+h4sx1OMrf/pn8QH0xe/vG+FdTD8vLsjNRwgwZMmTI\ncFw4Yrjmiiuu4I477mDhwoUAPPPMM9x9990888wz77hfY2Mj7e3tdHV1kZeXx5NPPsldd901ZZtx\nd1FRFPnVr37F5Zdf/h4eyrujpryUc9espKutlR1bt9Cy/i0uWFRJju3EpAm9WywGLeON00f8Yba0\nDVDgMHPewooTFiWIxOL4wjGyre/u4nPUHyGY7J0YjctvE4OKohCMxjHpNLN2YROKxtnVOURjSTYG\nrYbeUT+7OtU+ZS6LMS2jRCdVF7ClbYAip2VGmrxLWj2SQ4/ecXhX2JLTL6Pk9MtS99U+khEEQcBi\n0JJXXk1NXQlOQmrbj3AQrWli4icW8BLo71T7S4YDJGJRHDULUoKw6U93ERkbmjihIJA9/xTmfvhm\nAPb+8UegKEnBaEZjMGEtrcE5dwkAY6271XRYgwkpuX48SrmoPJcFpTkM+YL8fUsrAKFYPG3F4L8T\ndpOeilw7vaMB5qVhKx+ASEw+7O2ZRmd1MO+aLzO463U6XnqE3X/8AY6KBgqXn4mzZmFqAkQUBJaW\nZvPIzg78kTjWNDM/y5AhQ4YM/54cURD+5Cc/4bbbbmP58uUMDg4yNjbGH/7whyMfWKPhm9/8Jp/8\n5CeRZZnLL7+cmpoa7rnnHubNm8cZZ5zBpk2buPvuuxEEgaVLl/Ktb33ruDyoY2XxvLkEhvuJxGSE\neIAD7d3YylyIkgZBo039nQ3RMuIPM+IPUZFr57Jl1cgJhTda+1AUhd5RP75QDIf5+F+8RmIyD73Z\nTDASY2FZLiuqC464T2v/KBtb+yjKsnB6fQkFDjM1+VkM+0KpusEtbf20DXpYXJ5Lp9tHS/8oJS4r\n5y2sPOwxT3T90caWXlr6RwG4fPkcvKHxpu9qI/V0pDDLwkVLZq8J+ZFQDXYM+EJRNh/oBww0a5xc\nuuzwRlTjwm6cRDxGYlILjzlXfo5YwEs8HCQeCiKHAxhzCie2j0WJ+ccm1keC5C8/E+fcJSgJmT2/\nuf1t5yw67UIqzvsIcjTC9l/fTrexGJ3Gjl4rkR+S8ZgD2CsbSMSieNv3pVqFaEwWJP3xi1D+JyMK\nAmc3ls/2MN6RmnwH4Vic0UCY7R2D2CvmMRaK4tDNfGq7IIjkLVhFdv1y+jY/T8+bz7L3wXvQ27Mp\nWLqW3MaT0ducROKqcM0Yyxw/zrjxG1QUThhffff6q8l3TZ8h8qdnXuaac9acsPG0dPXy9/VvcsvV\nl/L7J1/AqNez7sxVqfUf+uZPuPfWz2C3HHsrkpv/+zd85tIPUFs2e+1fDuVfb2xjf2cPN115IY+9\n8gYGnZYPnLxktoeVIcP7iiP+6tXW1vKZz3yGW265BbPZzAMPPHDUvQJXr17N6tWrpyy76aabUrfP\nPfdczj13ejv/mWJkzItgtFJYXgUkWLSsAaskJ5uYqxeg8TE3oIAggEIyWKfeFzQaREmDKGlVAanR\nIIjvPeUoGInx2JYW4nKC2lEna+pUx9aGYhdjwQh5dhOv7u/GH46xtqGEPPvx61MVjMZS0b3uET/D\nO9owajWcNrd42ubiOzuHCUZitPSPsrQyD7Nei9sfZjQQpqV/FJtRlzLs2NTWTyzp6tnl9pNQFERB\nIBKL0z7spcBhocvt4/XmHgqdFj4wvwLxBFwA6ZOmHKIgsLNjiH6Pn9oCJ/NKsmck+vZuODAwxsaW\nXoqdVlbXFadt2phBp8Fm1OMNRY7pvSlqtFPqDO2VDe+4/bxPfH3KfSWRQElMRHsab7gdORRUBWM4\ngBwOYilWm7wr8RjtxjLaFDtKRGZB32Z83h58VjP2ygYiHjd7fnvH1BMKAlWXfIqCFWcRcvdz4LFf\npcTiuHB01i3FlFtEPBwk7O5Prjcf13TXDO8dQRCYX5rDlrZ+onEZUaOlcyyI4wQZyRwNklZH8Snn\nUbjibEaat9O76XnaX3iI9hf+hqWkhnalkNqieZhmQbT+p6LTavnNVz9/5A2TPPDM+mMWhLIsIx1l\niccDz75yQgXn8URRFBRFQTxO32sfOHkxN97964wgzJBhhjniL8ptt91GV1cX//znP2lvb+eGG27g\nmmuu4eqrr56J8Z1wEokE9z/yBIFQiKL8XK674sLDbqcoihq5iEVIRCPIsQiJWBQ5EiYeChAL+ZFD\nfuKhINGAN1ljJYxneY4fBEEjIUgaRI12IvooHT5lMiYniMvqzoFwjC63j1ybWttWmWuny+3nmV0H\nAXir231cBWGW2cDSynwGPAFEUaBjyJtcrqd9yItJr2VNXTFNvSMoCswvzaYm38GwL4TToscbjCIK\nAiP+EAA9o35qC7LItqr2/mXZNlwWI7s6h8gyG3hmVzu1BVns6XbTN+rHqNNg0mtJKArdbh++cPSE\npPGdVF1AjtWEQafh6R1tAPR7AqypT99edDs7hwhEYuzvG2FxRW5a9qIESCQUGopdmPUaqvJmrh5T\nEMWU6BJECftharHG0ZgslK+5CPfBAUBg8ZWXkGMzgqJOVuhsThqv/w7xUCDZR1L9aymsANRophwN\nE/G4U+sUWcbgzMOUW4Svq4W3fvvdSYMT0BjNzL3qSziqG/F2NtO74cmJCOS4oKxfis5iV48ZDqIx\nmtXIZJqK/393qvOyaB0YQ46EqHCmRwN4UdKQXbeM7LplBN399O7aSNuWV2kINUPPenb1z8FZswDn\nnIUYXQWZ98ZxZnLUCuCrv7yfdWesZFNTC9FYjE9+/+eUF+TyyQvP4qv/dz/3fe0LADz4/AZCkQgf\nPf8Mbv7v39BQWcqetk5WNs7l7OWLuPuv/2BwVHU1/9zl59FYVTblvMFwhLaeAaqLj5yV0+8e5Sv/\n+0caq0rZ09ZFjsPKd6+/Br1OS2t3H3f/9R9EojEKs53ces1lWE1q+cdzm3fws4efIBCOcOvVl1FX\nXsyOloP8/OEnAXWi5J6bP4nJoOevz7/Ky9v2EIvHWbWgno+df0bqvAvnVLD3YBer5tcRika54ZJz\nU89dc2cvX7jyAp7btINHX9lILC5TV17MzesuQhJFnt64lT8/ux6n3UpJrgtt0lDQoNOR73TQ1N5N\nXXnxcXglM2TIcDQcURDOmTOH733vewiCQElJCQ899BDf//73Z2JsM4KiKCljmWAozHOvvoEoCKw+\naSmaScYCgiAgaXVIWh2Yjmx8k4jHVfEYjyJHVfGYiEaIhQOpC0c55CcW8JGIhsfPogrIhAIC6ASB\n08rtDAXjDPhCPLmtFYfFSENxNq839+KyGLAYtAQjcSpzj39/v/Heca0DY3QM+dBKYqrlBcAGUaB1\nYAwArSQyvzSHYqeVRze38OSONpZV5bOoPJcut488u5m/vdmMJApcsLgSWVbY0z3MovJcXmvuJRKL\n0zPiT4m+aDzBkgoXmw70ndBaOUkUmVOQRe+oH5fFiNsfOiHP5fGkKtfBkDdInt2cdj3oJvPi3k46\nh71oNRLFTlsqGptuLK7Iw6jTsL9vhN1dw6yqLUqNVdLpsVfWT7uvOa+EBZ+9M3U/VT+ZzBAwF5RT\nd+0tUwVl0J/qVRkP+gj0HkyuD6QimwuLfojOYmdo1+sceOxX6sFFEY3BjMZoZt4nvo7BmcdYyy5G\nW3aiTRoFaS12tGY7pvwSRCkTQTpaHGY9Hzp5Lg8/8Hus+suOuP1M0y0buT9Qhq+igI/UWnAO7WOk\nZQcHn3+Qg88/iCErB2fNQpw1C7GX1aaVk++/A+MCD6DAlcUd108/4X39xefw2CtvpiKK/e7Rdzy2\nPxTmnps/CcAd9z3EB9eeQmNVOQMjY9z6iz/wh2/cNGX7/Z09lBccfWum7iE33/jYlXz5qkv59m//\nyvodb3HW8oV8/48Pc+MHL2BhTQW/e+J5/vDUi3z+ivMBCEej/Py/Ps3O1oP86IFHue9rX+ChFzZw\n05UX0lhVRigSQafRsLmphe5BN7+85QYUReFr9z7AztaD5GU56Boc5ivXXMYX113EmC/A5+66NyUI\nX9q2m2vOWU1H/yAvbdvNz750PRpJ4qcP/pPnN+9k6dxqfv/Ui9x762cxG/V88X9+R80kAVxbWsTu\nA+0ZQZghwwxyxCuGj370o1PuW61W7rzzzsNv/G+IJEl86KJzaGnvJC4n2LzzLQAcdhtLGqePLBwJ\nUaNB1GiAI882K4mEKhhT4lEVkPFwCEfIRzwU4A8vbkVREni8PpraQsjRKIMjYS5tyMOi16ARQ0Q8\ncUSNDlGrVdNXj5MDaXWegzybCY0k0u8J0DHsQ6+RyLWbUoIwKsu4/SEiMRk5oUZXBsaCDPlCyIlE\nSrjICYVITOa15l6CkRg9I37yHGb6Rv24LAbW1JfQ1DNCabaVYqeVhhkwo9jePsimA31IosDly2vI\ntqaXodChLCjLoaHYNW3qbrownhIsywkU3t6GJl0QBYGYnGDIG2LIGyLHZmR+6buz9B+vnxxHZ7Hj\nalg+7fbOuUtS5jeKoiBHw8RDfnQWtfWNo7KB6ss/kxSMvpRwlPTqe9Tfe5De159GmeT6CnDSN+9D\nNFnofOERhnasV4XiuGg02ylZe1nSGXYQJSGjtdiQ9KZMlCnN8EVi/GtvD6+09pNjMXDz2nmUOy3A\nPMrXXkHY42akZQejLTvp3/YyvZueQ9IZcFQ2JAXi/NR7KcP0HGvK6LFw+uLG1O1t+w/Q0T+Yuh8M\nhwmGI5gME1kebo8Px6TawOk/k+ryAldWKppYW1pI/8go/lAYfyjMwho1k+GcFYv4zm//mtpz7ZL5\nACyoriAYjuAPhphXWcr/Pvo0Zy5bwGkL6snJsrOlqZUt+1r51A9+AUAoEqV70E1eloM8p536CjWT\nxmE1U5idxd6DXRTluOgaGGZeZRl/X/8mzZ293PCjXwIQjcXJsphpau9iQU0FDqs59Rx1Dw6nxuew\nmukcmLifIUOGE8+0gvCGG27gyiuv5NRTT0WrnTrb2NXVxaOPPkpRURFXXHHFCR/kiSIai7Hjrf3k\nuJysPWU5+w4cZMu4ILTNnGmHIIpIegOS3oB2Gv34ocJ6tu/ZR31NJfFYlOfWv0FxrpO6k+ar4jEU\nSDUkj4cDRL0jk1oDqD8cipJAkKRkjZYuKVp1RyUcxyN0FTl2rl1Vj0YS0EoSdpOeQU+QzQcG2Hxg\ngHPml7G8qoCxYASrQZts/AxmvZaKXDuhaJy+sQAWvZZgJIbTYuC8BRUM+0K4rEa0ksgpcwrfaSjH\nndGAGqGVEwrRpIhJZ/o9AbYmXUbHzXrSkdMbStjTNcyAJ8j6fd2sqi3CpEuPyEVL/yh9YwEWJNtL\nZFsn0jHfravue0UQBDR6Ixr9xPmNOYVTDHRA7e/3RmsfsfgYJ59yPkWnXYQcCRHze4gFvER9Y0hG\n9YvE4MzFlF9KzO8h2N+FJ7CHRDxG6ZkfBKDjub8ytP1V9fwaLTqzDYMrP9USZHDHq8R8Y6nIo9Zi\nR2d1oLNmRMaJJBSL82JzHy829xGNJzitKo+L55e+rS+iwe6icOkZFC49AzkWwXOwCXfLDkZaduLe\ntxUAS2EFzuoFOGvmYymoyNSwHiWSKJKY1E85esiky+TtlHfYzqibyG5JKAq/+K9Po3+H70G9Tks0\nPmGqZTObcHt8U7YJhSNYTAZCkQjaSe8JURCR5cOPczJvE5mCwFVnr+akhlre3NvMZ++6l7s+/zEU\n4KqzT+OiVVMntfrdoxh0U7N21ixu5KVtuynNy2HVgnoEQUBRFM5ZsYhPXXz2lG037NzLO009RWNx\n9GnYszhDhv9kpv3E3XHHHdx3333ceeed2O12nE4nkUiEnp4eSktLufrqqznzzDNncqzHnefWv8HO\npmYEQeCyc9fy2pad5Oe4OPPUkygtPDrjnJmirKiAaCzG3uY2Fs2by02fuvaI+6j1TRES0bBa8xiN\nEAsG1F5yQR/xkD8pHKPA5IsEBUQxZe4xLiDHhaNxkplBqcuGLxRlvFCyfdjLoCeIzahjcXku7cNe\nwrE4FqOOxtJs/vZGM/1jAXJsJi5ZWo3TYkAjieQ7Zq9uZ3lVPgoK/nCM0UCEAoc5rSMlG5t7GfQG\n6R7xUZXrSEvzG384ymggjMOkT7XxsBv1R+VWe6Lxh6O8+FYXoOAJRvjAggry7GY+dPJcBNTJj063\nl7FAhLoi59t6fSqKwmgggtWomxUn2taBMfZ0qbPnZv3/Z++9o+O672vfzznTO2YADDDovYNgJ0VS\nlEmqWVS1JEuWe703iZP7nOUo5frZN37Lid9a8bMTe63YiWPLcZyYkmzZUbMkUhKpQlLsJEgCRCE6\nMBgMBtPbKe+PMxwSEoskEiQtY69FDaacc35zdGbmt3/f/d3bwKr6UvRmK3qzFUvR/PPrXXYj3mU3\nzntMlc8a7pSv34q7sYtMLEI2HiYbnZtHGKYPvMpc39F521tLKln+lf8PgN5t3ycTDmKwO/OE0VpS\nSVHHGgDS4SA6sxWd0Xxdf6auF2QkmV0Dfl7smSCRkVhW4WFreyWlzksvUugMJjxNS/E0LdUifaZH\nCZ46wmzfYUZ2/ZaRXb9Bb7HjrmvH3bAEd13HIrG/CEoLC/jta3tRFIWZcISe4fH8c3qdiCTL6HU6\n3E47oWiccCyBxWRkd3cvq1vP76i8sqWBp3bt4eGbtc9k/9jkO3oFq0uKeTzwev7+koYavvXYEzxy\n60asZhO7Dh+nvqL0onFTdosZu9XC0f4hljTU8NJbh+nKVQsBXjlwjGVNdRwbGMJmNmO3mBkPBKkr\nL6WuvJTjp0cZ8QdY1drAT57ZwS2rurCYTATmIhdUpmxc2s4vXthJv2eSL91zGwDLm+v52r/8ggc2\nr8PtsBOJJ0ik07TWVPKDJ58lHEtgs5jYeaib+vKzc66x6SAddVUXfH+LWMQirjwuSAiLi4t59NFH\nefTRRxkbGyMQCGA2m6mpqcFiuf5Dkd8NzsjYVFXl8Ile/IEgALF4grFJPyVFhaQyGY6d7KOqvJQK\nX8nFdregUBSFp55/GUmWGZmY4k8/8/Alt8m7NVovXu1UJAk5k3oHcZSSUa3qmIjOI479wTgDwTit\nXjtVHhs1Nh0zxTYUQSSdyRKKa86ibeWFPLC6iV/u7uGt/kn6JkPodSIZScZq1L/DBCecSGMx6jFe\nxVBoALvZSIXHwasnRpmaiyMK0HqdhWifC6/LynQkgcNixHwdOg2mszJPvtVHOitR7rEjiiKKol6T\nbM+RYISMpFDvdeUJiUEnYtRr1yHAz18/gaKq3LWsHq/LymwsyfOHhwCVuUSajS3z+1he6x3n5HgQ\nt83M/asbr3gOqD8c59joDLXFLupL3jlhL7Ca8qvv7nMiZ9JZGb1OuOR4zlUE2Cvq846r50P7576G\nnE6QjYbJxMNko+F5Dsp6i410KEB8YohMLIKcimsZkjlCePRHXyc9O40g6hCNJo20tK+i4d4vAnDy\n5/+AqkiIBhOiwYTOaMJZ00Jx13oApva+hKA3oDOYEI1GRIMZs7sYs8eLqqpk4xF0BiOiwXhFnJ2v\nFSRFYffpaZ4/MU4klaWttIC7OiqpdL+/hTJBELCVVGErqaLqxrvIJqKEBrsJ9R8jNNBN4PheAGwl\nVbjrO3DXd+KsbFzsPTwHHXXVlBa6+dzf/YDaMu+8Hrc716/i83/3AxorfXztMx/lUx/exB//ww/x\nFbqpKrmw3PzPHtzK9x5/ms//3feRFYUl9TX8+cfumfeaqtJi4sl0XkpaX17KvTet4U+/+68IgNth\n46uP3HfJ8f/1J+/Pm8r4ijz85SfO9sY6rBa+/J0f5U1lAH71ym4O9Q0iiiI1pcWsbmvCaNAzPBXg\nT/5B62O2mIz8zacfOO93jMNqobrUy/DUdL73r8bn5XN33sxf/OAxVFVFp9Pxf330LtpqK/n0HZv5\n8nd+hMfloLGyDEU5q87pHhzm03dsuuR7XMQiFnHlIKjnah1+jzA2NsaWLVvYsWMHFRXvr/E4nc5w\n6EQvxR43mWyW37zwCjarBavFzPTMLBW+EnSiyPD4JHq9nj/77MOYTdfO0fFHv3iSYChMSZEHo9GA\nTqfj3ls3YbVcnfB0RZLIphJ859/+C1mSsJj0PLB+KbOzQUqsInIyRt/YNK/2+THpdVRJmiqTAAAg\nAElEQVS4TNiNerr9UbKygtVo4I6OMgJxmdoSF2aTCRkRvU7kyEiAvf2T2EwGHlzTtKBykawsE0tl\ncdvOnrdTkyFeOTECwIfaKmn2eRbs+JcLVVWZiSZxWkzXpVFLNJnhP988CYDPbWdTawWywoLkZV4M\nI8EIzx/WXHjXN5XTWu5BEAREQSCSTBOMpggn0uwdmASgs6oYVVUx6nUcPD0NqLSUFbKhuQydKJLM\nSMTTWXYcH2EuJzP+1I3t8yrmVwK/3N1DOJFGEAQ+uaGVrKzizFWB46ksL3UPk8pKrGsso6rICcDg\n9Bzbu0ewGPV8ZFXjNTMbUqQsb/SMMp2QuaHRh2HkCOm5GaRkHCWruTPbfbX4btAqCN0//ibZRCy3\nGJVByaYp7tpA/T2fR1UU3vibh95xjLINd1J356eR00l2f+NT+cdFvQHRaKLipnupuOkesvEoJ//9\n/0U0mhENRnRGM6LRSPGS9RQ0dCIlYvgP7tQIZe41X/juz3n8//wFpsJi1JzTrCAsXBVYUVUOjAZ5\npnuUYDxNfZGDuzoqaSh2LtgxVVUh7h8lNNBNqP8okdE+VEVGNJgoqGnF3dCJu74Ti+faLYD+oeOJ\nl9/Aajaxdd3Kaz2Uq46+0QmeePkN/ubTD17roSxiEb9XKLvl8j4z11954SoiGo9z5MQpzCYjD9xx\nM/fetgkEeHaH1lPjDwQpz7l9XQ9ip0/dfyfjUwHGJvy8efAIAMdPDbCq6+I5bVcKol6Pye7EV+Zj\n0h/A6yvhib09ZCWJG1Z0EZMtDGTT3H3/RsJzIfYc6kZNKqxZ00o0GqOtvAhBzjA2PYjkj2ARFF7u\nncBm1GE16JAzGSKZNP7xcYptBgRRh6DXYjlEnT6f93g5lYCsrPDk3j4iyTRLq72safChqipNPjdi\nLmKy4TxVmesJwViKw8MByj122q7DSqbDYuSm1krGZ2OEEil+ubuXdU1lV50QZs/pB52ci7OnfxKz\nQccdS+s4OORHVWFlrSZrVlSV2WiK8ZDWq7OuqYxEWqJnYpZ+f4hNbZXs6hknnZWoLXZhNuioLnJe\ncTII4LKaCCfSWI16frO/n0gyw/LaElbVldLnD+EPxwEYC8U4ODSNThQw6XWaTDCdZSaavGaEMJyW\nOeHXzuG+wSnMhnImcLFhaTmNpe+MHun4wtcvvDNBYPX//leNSObMtuRMBpNT248g6qi/5wt5VYN2\nm8Jaoi0QqoqMoDcgpxNkoqFcZFAGR3k9NHSSjsxy+pnH5h0yPpkmNNhNaeEmYhOnOfyT/wdDLmPS\nYHFgsNqpWL8VZ0UD6XCQ0OBxDFY7eov97K3F/q769E4Ho/zq8DBDszEqCqz80YZm2koLFlxaKwgi\n9tJq7KXVVK7fipROEh46qRHEgaPM9h0GwOz24m5YQmHjUlw1zYj660+a/kHFPTeu5tVD3dd6GNcE\n4ViCz935+92OtIhF/D7iD5oQHjnZRzCkuWS+snsfR0/2AbC0rZlYIsGS1kYqfaUc6+2nqqz0mlYH\nAYbHJ3lt7yE8bhd6nQ5RFKkqv/q9jp+49w4CsyFkWeHnv34GgKnpGU6Paj0WR3r6WNbegmjQJhAJ\njPQHomSMdlRVZUoyMRWG2spKzF4dsqqyYvVSTg0OU+J20Lm0BVXKakHiyRhyWgsVl1NJ0pEwqnKm\n4X5+TAeCkMt4PEsiJyJp3uyfwuuycVNrBYl0lkgyDcDobJSxt6LMxtNsaa+k4ZwJq6Ko7OwZIxhL\ncmNzeV7emsxIDM9EKHcvXBTGpfB67zj+cJzB6TmqCh3YzdffRK2lzIOvwMYvd/cA0DsZor2i6KqO\noc7rYkNzORlJIZxIIysK8bTCvsEphgJaDpjNrCeaypCVFEpz8jydKFJT7GIiFCOV1a61U5NzpHN/\nq8A9KxoWbNy3dFQzMRfDqNPx2wP9AIzPxlhVB+Vue76nMZXJ5slhR2URHrsFh9lAufvqGGKNBCME\nIknaygvzxNhuNuQJrcdm5sS4JsM/PhacRwhlRSGVlS9KXAVBuGiPm2gw5iuN54PRUUDnF79xweet\n3grWfuOxs4Qyk8b+je/iadAcGA02J5Xr7ySbjCElYmSTMVJzgbxZV3TyNH1P/9s79tv5yb+ioLaV\n2b4jjOz6rUYUrQ6NWFrseJZs4Jn+EK8PTuMwijzcWcrahnL010iuqTdZKGxeTmHzcgCSs35CA8cI\n9R/Ff2gXk/u2IxqMuOs68DR2UdiyEsMl2hAWcXkwGgzcunrZtR7GNcHK1oX7bl3EIhZxYfxBE8Km\n2ioOHjuJ0WCgwHk2W7DIU8Admzfk769d1nm+za86du45SDA0R2A2xP/4+APYbdaLupUtFAwGPWW5\nPokt61czHQyxYdVSnn/1DYZGJyhwOHjrcDc1FWVsWreK37zwCgAj45N0tTYyOjGF3WZlzdIO5iJR\nCpwOVq9Yxvq1q97V8RVZzkdzKFJGu81mkNMpjUTmsh7ldIKDA+ME5+IE58LUWmTsRh0dRSamIimq\nzCr7JsKASM/wFFVOI4dHQ0xFU9R6XZyanAW0WIrbu7SG/OcOn2YmmsBmMvDx9a3XxCijwGbCH45j\nNRmuS8noGTgtRmq9LsZnY1clPuTtEAQhT0JnokmmwnGsRgPNPjcjMxFUQJa1qhqA22qipbOaZEbi\nV2/1YTXqKXJYkBSV1fUlFNrNzMSSrK5f2EUYvU6kqlCTDC6t9jIeimHQifzLy0dpryjkptYKDpz2\nIykqOlFEFAWafR7WN5Uv6LjORSSZ4XdHhlBVlWAsSUOJm5logs7KYh5Y3UQqK2Ex6gknM0yGYjT7\n3EiyQiKTxWLU8+t9/czFU6yu97Gs5to45QqiiN6i5TqegcHuYlvvLIoQ4s6OCmo2X9hF29PQxao/\n+47WZ53UCGM2EcNa7MvvX2c0k47OEZ8eI5uIklB07IuVMxHLsMqeovLAf6AeybIb0BnNGKwOuj77\nNYyOAoK9h5gbOpEnkmcqkAU1LQiiTnONXgA5q8VTgsVTQtmqm5GzGcJDJ5nt08xpgr0H6X/u3/E0\nLaXihjtwVi5O3hexiEUs4oOACxLCu+6666IbPv3001d8MFcblWWl/PkXP5Gf1OtEHbIiX1b+4EKi\nobqCYGiOIncBr+zeh8Nm4+Yb11xxU4v3gjXnkOVH7vkwsqLwk22/IRSOEApHkGWZ6opSFFWhpb6W\nzetW0dXWjNvlxGa18EeffO+aZ1GnQ9RZwXxpk5LVRSd4cdduChw2DmVl5gIR1nUto9Vpp3dolFI1\nSCwep6TYQyAhsW9wClWRScaiWJCJZWTcYobn9hzDZNART2RQZJl0BhRFRncNwr/XN5ahqioem/kd\nDpjXEwRBwGE24jAbF0Ra+V5Q5LDw8A0t+fsPr2sBFXQ6gUA0SSorEU1lUFWIp7OksxLprMSHl9bm\nyZnHfvXNtM64sv74lWOoqsqJ8Vkm5+J546YH1zTl3E6v7nUg5orzKpo096Vjw2iurRk6q4qIp7LU\nel3c3FHFXDyFx27mybdOEU6kafJ58j2Yo8HoVSGEp6fDDM1E6KgoPK+5kaKqRBIZDFYX8YwEosDp\nYIxC24X7s0W9AXNBEeaC81e+3fVaL965x/jHV44TmEvwPzc0U2/KEKv64rwKpJSIocvFjsT9I/gP\n7ULOpObtd/3//jcEYOB3v8B/eFeeMOotdox2Jy0f+SMAQoPHyURDZ5+3aqTSYHn31T2dwYinsQtP\nYxeq+kni/hGmj76J/+gbBHsOULJ0I413fnYxymIRi1jEIn7PccFZ2g9/+MPL3vmuXbv41re+haIo\nPPjgg3zpS1+a9/zExAR/+Zd/STQaRZZlvvrVr3LTTTdd9nHfC3Q6HQeOnSQQDLF+1VIctus3lHzL\nhjWsXtbJ628d4tBxTYpXU+Gjub7m2g7sHOhEkea6GgLBED5vEU88+xLJVJqWhlq2rNeyjK6mW+vK\nJW20N9URiyf51//6NaLByPBMjLd6hlEUhUJ3IZW+CrrHJxlXLJTUNRGJxuhY0opeEEinEsiSxOTx\nUygJiRWNtaQTCaqcBrLhWTKyRL7D9Jxi4RmHV+HMrU5/2dVEVVVRVJXusSCnJkMAOC0mar2uy9rv\nQiGSTOcjJ/YP+vPE6nqA4xyZ7UdWNXJkJMCevgkAmn0eDHodLouREqcNSVaYmItR7LAuOLGdCsc5\nMhygushJS5mHeDqL2aCjs6qI46NB2ioKEYBgLrfTZTXlF4SyssJ0OEGRw0IyI3FkROszXYieWLvZ\nyN0r6pmJJvEV2PjVvn4URSUjy/x2/wCg0lVVTJ9/jkQ6S53XRTihSbXn4inaK4qYmouzonbhvwsy\nksxL3cOoqkogkqC6yEnvZIiuqmK6qjWlw/buYU5PhzE53bgsRhSgvsjB+FycoxMhagrttF7meewP\nRBgIxvjYilo6fJp89mLGLVUb76Fq4z0osqRVIBMxpGQcMbcI5a5rR9Tp89VJKREjFQrkt5/cvyOf\nRXgGRoebNV/5HgB9z/yUuH80V320obfYsRSWUrZyCwCxyWEQyPdQ6gymfO9h9YfuY+D5n+M/vIvC\n5mV5uekiFrGIRSzi9xMXnN2Ul5+VH42PjzM8PMy6detIpVJI54SmXgiyLPPNb36Tn/70p5SUlPDA\nAw+wefNmGhrOSkz++Z//mQ9/+MM88sgj9Pf386UvfYmXX375Mt/Se8OEP8ALO98EIJ3JcM+tH7qq\nx38v2PHGW/QODOXlmnq9nkLP9WeAsnHNclZ1tSPLMt9/7JcARGPx87627/QIY5N+Vi5pw2FfmCxC\ni9mMxWxmVVc7I+NTbFyzjOdefp1oPIHDbmVmVusjjcQSbFq3knAkhqfAxe9y10VrQy16iw2dTseq\nD91KqfdsReAdWY/ZDFIyoUV2xDUpmZSIIadTIKignksKVa3X0WBA1BkQztyeZ7U9mZH4zf5+YqkM\nNcVnCaBOvB7sjs4Pm8mAx25hNpakstBx6Q2uIVz5flCBuhIX65rKGAlGycoyL58YZ2QmgsNi5OG1\nLYgLeM5f6xlnNpZkKBAhkkxzaGgal9XER1Y1UFZgx2U14bQYaasoxJojpxOhGIV2Cy8eG2IiFMNj\nt2DUi0zNxemZmMVXYFsQk5kSly3fW3vvinqCsRQ2k56xoGYqE01l83LcZEZmabWXiVCMNQ0+yq5S\nnyNonxGrUU88ncVmNnB4OACoHBqeprVccxOeDGnfTzqTla5SF4f9EfoCEQZmooSTGYZn49QXOi4r\nEieS0s5FxXvMXBV1eoz2Aoz2+d/15/b9nQ9N93yR7M0P5Yik9u9cGGwudKYA2fgcicA4UjKGpciX\nJ4Snnv4x8amRs+PQG3A3dNH6wB8z23+M4KlDAAR7DpIMTqG32rEWluVlpNlkDL3J8nsdB7KIRSxi\nEX8ouORy9+OPP862bdsIh8Ns376dqakpvvGNb/Czn/3sotsdPXqU6upqKisrAdi6dSs7duyYRwgF\nQSAW036kotEoXu/V7yWxmE3odTokWcZkNGgk4TqsEiZTafYeOgZo5+2LH/sIZpNxwUjUu8VUIMi+\nI8dpqK6gtbEu/7jFrBnw3HvrhxgcHcfnLSYSjeF0aBPBRDJFVpJ48rntqKqKf2aWh+++sEHElcAt\nN67N//3pB+5ifGqamsoyxqam6e7px263sf01LZ+rqbY6/9qGmipuXLMcg16PyzF/Ivtusx5VRTnH\nvCKlEcd0EunMZC0RRUrGSUfmUBRZqybmAmFUVMYiaUKRGIIooEoZuqqKcNss+diB6xE6UWRtvY+R\nYOS6ckMdnonwxqlxSl02NrVVIisqkqywpb0Kl9VEsdPKs4cGGZuNYjUZ8kHMsVQWWVUQWbgJrttm\nYjaWxGExMDGnkZRwIs3Ok2MMTocx6HQ8dENz/tp46dgwwzMRCmzmvOnNXCJNbe66MBl06K+CnK/Y\nac1LMTe2VBBJZVha5cXrtDI5F2NFbck1yaEE7Tq8b1UjgUiCco+DnSdHGfDPUeK08u+vnUAUBJZU\nFTEwHSYRnOTAeIi4JHNwNEhNoYNwMkOBxXDBQO53iyavE5Ne5IlDQ/zJxhYsCxitA5pZjN5kuWAV\nsmbTR97xmKrI+b8b7vgMmWiIbDJGJjJHfHqETGyOvd/9Ctl4GEGnR2eyMn3szfx2Re1r8oRw3z/9\nBXI6gd5szUlabRS3r6Hihg+jqioju36L3mzVeiPNNgxWOyZXEUb79al4WMQiFrGIDzIu+Yv0i1/8\ngieeeIKPfvSjANTU1DA7O3vJHfv9fkpLz5ovlJSUcPTo0Xmv+fKXv8znP/95/uM//oNkMslPf/rT\n8+5r27ZtbNu2bd5jmUzmkmN4N3C7nHzuoXs4dXqE1/Ye5PCJUzx8923UVJRdkf1fKZhNRmoqyhga\nm8DjdvHf23dSXe7j5g1rrum4nt3xGv6ZIN29/SDA3kPdNFRXsn7VUobGJvCVFDM2Nc3vXn0Ds8nI\n//j4A+zae4BDx3upKi9Fr9ORlSTMpqvrlOl02DEaDTz2xNOEwhHu3LIRs9nIvsOa1XdVeSnLOlpQ\nVIXGmqrLPp4giuhNFjBdvA9NVVUUKatZ7KdTect9VzTCYHo/oXAUSVE5ODCJ3SBQJia1iaoAqGpe\noioajGfJ6jVCMiPxu6OnUVSVuWSarUvrLr3R+0QonmJv/yRFDgsr6y5u+nJ4eJpoMkM0mWFpdTFH\nRmY4NTmLXifyyLpW0lk5X9lKZSTuWFpLz0SIWq9zwXv1NrVV0lZeiMduZjaW4s2+CUqcVmIp7fsu\nK8vsPjXOwHSYQruFdE6tEU6kua2zmt6pEI0lbioLHdSXFFDksGAy6JBkhWgqkw+1v1zIisKRkQAC\nAl1VxZyaChFLZeiqLqb1HPLfVX1Wlvl2KIq6oNXWc2EzGbDlKus3d1Szqa2Sw8MBRoIRZDSyH06k\nsRaWUmg1Eo8kqXTbuLWljOloCo/ViHiZ581pNvKJVfX8dE8/337pGB9bUUdLyfVFfs5U87LJOFIq\nTmxqhPDQSaLjA6iKjM5oxt2wBG/nDXgalyKIIqqqImdSSIkYnLP4ULP5/pzhTjxfpTxjgqNIGUZ2\nPvWO41euv5OaLQ+STcbY/4NH8zEeZ8x/vJ3r8DQsQUonmT11KPe8Ld9DqTdbFjQ3chGLWMQiPqi4\nJCE0Go0YjWcn6+9GLgraxPbtePtE5Nlnn+W+++7jc5/7HIcOHeLRRx/lmWeeQXzbivZDDz3EQw/N\nDyg+E0x/JVDkcXN6dAJZ0XLLxib91x0hFASBj91zO+lMhseffhF/IIg/EGRZewuF7ms3qXA57Phn\ngtisFl576xAzs3NM+AOEo1GOnOzDaDDgLdJkWal0hmQqRe/gMAAj41N89qN3Mz0TorWx9qqP3T8z\ny+ycFj9wsm8Ql9NOWYmXzpZ6LTbjGhglCIKAzmBEZzBisJ6VWTqAz7dqNuSPPfHf2MQAiqJStOFO\n7EYdciaFnE6SjUXIxiNk42Gy8ShKJsX8FM0zMlXjgpNGQQBRFFBkFVVR6Z8KUeaxY10AZ9y9/ZMM\nz0QYnolQ5rGjKCrFDitGvch0JIHLasJs0BOKp6jwOJiai1NgNWHS60hmNPInySqv92qVuGKHhbby\nQoqdFoocFrZ0OAgn0szF0xTYTESTGZIZCa/Lykgwgn8uQXtFIdb3Kc2cDid4qXsYm8nALZ3VHDw9\nDcC9KxrQ60QiyQzm036KHRZ6cu63wViSTW2V9EyGaPG5qS52YTUZiKWziIIWC7FvcIobGn3sG/QT\niCRo8nnY1FZ52ef75Pgs+wamAIimMpzMxUtkJAVJ0WI+NjSXIysqM9Ek9SUuYqksI8EodcUujo/N\ncGQkQEOJmy0dl7/g8l6hE0WafW7GZqPoBAGTQctxRBCpLLCxpa0Co05EEARKnVfOTGhZRSHODxn5\n+Vv9/GDXSZq9Lm5rLaOx2HlNHItBC6pPBCaIjvUTGRsgMtZPckbrp0UQsJdWU772dgpq23BVN7/j\n+0IQhHw18lyUrbpwlpzOYGLD136KlIpr5DNHGE15gx6B4o61ObOdONlElGRwkoJqzRgqHQ7S+9SP\n3rHfhq2fwbdiE/HpMfqe/sk5hFEjjcXtq7EWlZFNxknN+tFbtMqkzrRIJBexiEX8YeOShHDVqlX8\n8Ic/JJVK8cYbb/Cf//mfbN68+ZI7Li0tZWpqKn/f7/e/QxL65JNP8uMf/xiAZcuWkU6nCYVCFBZe\nPXnZXCTKtqdfRJIlqspKMRoNLGtvufSGVxHReIL/fvFVAO69bRO1VeWMTU1T6C7A6bi2ktF7bvsQ\nQ6MTlHqL2HPwKDOzcxR73MSTmjNeJptlzdKOvNTyd6++SXlJMcG5CB3N9fi8xfi8568gXGnsPXQM\n/8wsG9csp8DpoKLUS1NdNYFgCLvNyoFjJwFoaah5BxlMpdNkJfmayollReHgsZOUeYsxGY3UVpZR\nVHLxapgiSXmyqGTSyOkkmXiEbCxMNhElG48gp5NvmwydSxoNiHrjvEmgoqoXrZaEE2kEQTO8uXt5\nPf5wguNjM+w4PkKB1axJHq8wihwWhmcimA163uydIBjTTFdKnFZOjAexm420VxSyt38So17HxpYK\nXusd55d7etnSXoUgCBTazZyc0MhWIJqko7KIV06MsbtvkvVNZbx6cgxVhRuby3mzT1tAWl7t5dBI\nIB+/cCae5L2iZ3KWWCpDLJXhzVMTDE5rfa1GvchUOIGiqGxur0QUBURR4OT4LJWFdkaDMSZDMYw6\nkSKHlaf296OqKk0+d9546MDpaQKRBKD1G14JmM+JO9F6GTXP0Vgqw+lcxuPe/inGQ1EkWWE0GGFy\nLk4yI9E7MUsyJ2/t94fY1FY5r1KYzEiYDboFJ0h2s5F7VjSgqCrprEw0leHNaIjGQgeJjITebCSZ\nyXJiao5Sp4USh4Uj47M4TAZaS99/73Z9kYP/fVsXrw/4eaFnnH/aeZJyl5XVNcUsr/Dgti5s3q2U\nihMdGyQy1k9krJ/o+CByWrs+9BYbzooGvB1rcVQ04CivewfRu1IQRBGD1aEtfL3tJ99gsdHw4U9d\ncFtLYSkr/vjbWvUxebZH0lnZqL1AVdCZzGTjYZIzE2STMeR0EoevBmtRGZGRU5zY9r1zB4PeYqP9\nof+Fs7KR8Mgppg68kq9MniGW7oYuDBYbUjqJKkvozdbFHslFLGIRHwhckhB+9atf5cknn6SpqYlt\n27Zx00038eCDl44K6OzsZGhoiNHRUUpKSnj22Wf5zne+M+81Pp+P3bt385GPfISBgQHS6TQej+f9\nv5v3gZ6BoXw4/dK2ZtavXHpVj/9ucKynj+HxyfzfN65eTldrE1aLhXQmwzPbd2Exm7l5wxr0l2F6\n8H5g0OtprNVW+G+5cS0rOltx2G3EE0ksZjOpVIpX9xygo7meg909eXOZR//nZy451mg8wYQ/QG1l\nGUbD5VWVJqdn2PHGWwBks1kcdhtT0zPcfONaykqKGRge4/CJXoB8xfXwiV4kSaamsox/f/JpUukM\n992+mdaGq1/NBDjU3cNLr+0B4K6bb6Kz5dIZYKJej6i3XzRI+gxpVDIp5HQKOZMiEwvPI41nKo0n\np6PsGZmj1G7ktlYfBtOZSqNGGkeDUZ4/chqArUtriaayIEBa0nqMErlq3Nuhqio7jo8wPBNhdb2P\nzsr3FmK/sq6UqiIndrOBJ/acAjRiqsuRilgqkzcOyUgyo7NRVFVFklUG/HOMzEQYmYnQWOpmKhyn\nqdTNVDgBqGQkmeGZaF71MDEXy6sJ5pJpREFAVtXL6jGr87romwphMeqpKnLkCWE4mWF8VjNpOXDa\nT79/DklW2dJeSUOpm5/u1CTOI8EonZVF85QZBTYzc/EUdV4X9V4XA9Nhll5Avvle0VDqBgR0okCt\n10WZ2048naXEZWVyLk4qK1HstDASjADaOT8zNEVVWVrl5fDINE2l7nlkcE/fBEdGApQW2Lh7ef0V\nJYVz8TSKquTjQyRZ4ZlDg0xHEmxsqeDWzhr+5UdDvD4UoD8Uo9RpwaATGQ3FEQWB+mInfdMa2XVZ\njJS53v/ikEEnsqnJx4b6EvaPzPDagJ+njgzzmyPD1Bc5WFFVxNIKD47LNANSpAxx/yjRiSFik0NE\nx/tJBM5W/2zeCoo71uCsaMBR0YDFU3LNKpXvBaJOj7XId8HnbSVVdH7i0XmPKbKUf2+O8jraHv5K\nnkhmEzGkVBxDrn8xGw8TGe0jm8uzPYPlf/R3GCw2/IdfY/CFXwCaEdGZKmT7w1/B6CggNHCM8HBv\nnlAaLFqfpLOyYUEzJBexiEUs4v3ikoRwx44d3Hvvvfkewne9Y72er3/963zhC19AlmXuv/9+Ghsb\n+cd//Ec6OjrYsmULf/VXf8XXvvY1HnvsMQRB4Nvf/vZV/zFqqK5g78FjKKrCzOwcO17fy8Y1KzAs\ncMP/e0F1uQ+9Xo+AZuLy+DMvsnndKpwOOzv3HOVkvzYBr/B56WheuKDgrCSx7ekXmfQHuHPLjQyP\nT3Gyf5ANq5ZhMhrYe7ibzuYGmutr2Huom7rKcna8+RaxeIKdew7QVFdNNBanyF3AUy+8jCiKbFm/\nmme27yKWSHLXzRt5dfd+xv0Bbv/QOnbuOUA0Fqe+uoKH7ro8wxm71YLRYCCTzSKKIvuPngBg5579\n6PV6JqYCbF63mppKH54CFyf7Bnnu5dcBaK6vIZXWeriGxyavGSHUn9O/drkGF+fiDGm8mDGOIsso\nmRQ7f/UMZreBkKIwbS5heiZIfYGKQ4iSTiYYn44hpVOgqhzuPc1wOI0gCLT63AiiQEOpG1WWEc55\nL5KskMxmGfBrJOjEWPA9E0IAb860ZEtHFT0TszSWurEY9BwY8lPutlNd5IQ+cFqMdFUVk5EUREGg\n4JysuWKnleoiJ7t6xnBZjfgKbNjNRm5o9GHQi6gq3NDgw2kxEklmWNvgY2m1RPzz4bMAACAASURB\nVCCavKx4hwqPg8/e1JGvvHpsZlRAFASGAxEUVcWc6wUEGJ2NMhVOUFpgI5LMUOywcGBomgqPA4/d\nzLIaLwadSEZS8lEZnVVXrhI/GozyyokRDHodJoOON/smyEoKty2pYXmtl2AsSUdFIS6rkZGZKGvq\nfURSaY6PBVlW7WViLo5BJ2LU6+iZmOX13nHK3DbCCe1zNjUXJy3JmK/Q9/BkKMbThwZRVbh1STW1\nxS7mEmn8YW2RoG8qhCCA0e5mIprUxhBJUVuofSZ0ooBZf+YzJ2DUX5nPn0EnckOtlxtqvUxHkxwY\nDXJgJMi2g6d54tBpWkpcLK8soqvcfUkTGkXKEvePasRv8jSxySES0+N5wxeD1YG9rI7i9oWv/l2P\nEM/JjDXaXRQ2XXjxt6h1FUWtqwDNaEdKJcgm4/nMSVd1C3W3fyJHKOO5SmUc0ahVdyNj/Yy+8Syo\nyrz9rvvrf0Un6hh88b+YOvDq2Qqk2YbB6qD1wS8jCAKz/UdJh4Nnn8tFf5hd14851yIWsYgPFgT1\nfM1+5+Cv//qv2bNnDytXrmTr1q1s2LABvf7ak6UzPYQ7duygoqLisvalqioHu3vy8ROb161i7fIl\nV2KYVwypdJrJ6Rn+67e/A6Cxtop1K7o4dXqY3QeOotPp+PQDd1FavHA/GBP+AI898d8AVJWVMjKh\nSYJdDjuSLBNPaBOp6nJfvqLZXF9D78AQFb4SbFYLsXiC8pJi3jpyfN7zAA01lfQPjQJQUeplYnoG\nRVEo8hTwpUfuf09jTaXTJJJpPAVnXTjnIlHmIlG8hR5+su03RGJxlne0cLBby3SsKi8lnc7inwnS\n1ljHib5BALasX83k9AyxeII7Nm/AU3BtejZVVeXEqUH6h0fpGRiipsLHg1tvuaq9jsdPDfDSa3uo\n9JUwMDyGJMsUul1Ul5dx4NgJ6spL0AsQi8dpLC9m+94jqLJEk9fFTCRGudNEkVnHK31+XGY9y8ud\nvDIwiyiAx2okEMuwosJJe6kTQdQh6HRahqMoIur0Zx+7gjItSVbYNzjFVDhOs8/NgD+cl1bev7qJ\nIse1nTSfqa7pdQKv9Y6TzEigkq++3beqkZePj+Ry/gQ+s7Edk2FhlQK7+ybyGZM1xS6GcjLR2mJX\nXjLa7HMzMRfPmfd4GQ1GCcaSlHsczESTOVdUAa/TwnRO0rq6vpTeyRC1xS7WNFy4AvRecWI8yGs9\nYwAsrS6mqshFsd3C9uPD+CMJKj0O+qZC7O/u4ZM3Lmc2LdHodVJb6GD/SICGIhc+l4XBmSh2k+GK\n9hW+HaqqMhFOsH80yMGRIMFEGr0o0O5zs6KykI4yN3pVJj49RmxyiNjkaaITQySmx/LkT2+x4yir\nxe6rwV5Wg91Xi8np+b2o/n1QkDfbyZHGbDKOu64dgGDvIcIjvTkyGUNKJVBlia7P/d8AnHzyB8yc\n2Ddvfwa7i7V//k8A9P7mR0THT5/j4GrF4iml+qZ7AQgNdKNI2RyhtOaMeayI+qtr3raIRSzi6qHs\nlkurNy+GSzK7v//7vyebzbJr1y6efvpp/vZv/5Z169bxrW9967IOfL0gGArz2lsH5/VEvT1a4HqA\n2WTCW+jBYjaRTGlVl589+TQAm9atorWhlgLnwma9eQs9VJf7mJyeYUVnKxaLmd6BITpaGojG4hw9\n2UdNRVk+CsNoNGC3WmlvqsdT4OS1t7TcqgKnA1EUEQWBzuYGJvwBkskUyztakGSZiakAK7va0et0\n9J0eYcWStvc0zlg8wY9/+RSJZIpbN97AyiVtqKpKgdORP0df+vj9JJIpbFYLk4Eg/ukZqnylvL7/\nsLaPRJL7bttEVpLobGmcN5E6fmqAdDpDV3tzPhT8akAQBNqb63nrSDeyLDMwPEY4GsPt0khvKBzB\nZDRitZgvsaf3j/ametqb6lEUhR/8bBuxeAKT0cjJ/kEEQeD0xDSNtVVMjk+j6M08dP+9ZCWJvYe7\niaf1nEpDptiHsdhAUlXxu8oweIyoqsLK1V0saahCyWZQshnkdDLX/5jKSVqT2mPpNKoinTkpZwen\n5v8DgqARSZ0OUdTl/xbEM//O/n/T60TcNjNHRwJMhxM0lroRRZESpxW3bWH7uS6GQ0PTnJwI0lFR\nRJnbTvfYDFWFTuq8Lvb0TzISjCCKAoFIEqfFRDiRxmM3Y7hC1auLoa28kKm5OHqdSIXbxlQ4jqKo\n1BQ7GZqJoKoqKgLRpFbxm5yLEcoF08/GNBnryfEgtV4n1UVOZntTlLntdFV5WVZz5cPqm0rdBKNJ\nsrJC39Qch4cD1JcU0FLmQZf7LjoDg06kwGrEbTXxat8ko6E443NJPrailobihY95EQSB8gIb5QU2\n7u6o5HRgjqPHTzLZu5uj+6cYSwcoSAURctUnvcWG3VdDxQ0fPkv+XIWL5O8aY57ZTsH86nxh8zIK\nm5ddcNvme79E3W0fzxPGbDI+r9poK6lCkSSNaOb6JDOREOQI4dDLTxCbHJq3T2dFQ55wntj2j1pO\npDknaTXbsJfV4O1cB8DcUA+i3pCTu9oWeyUXsYg/ALyrUp/BYGDjxo0IgkA6nWbHjh0fGEK44429\n+arUXTdvpMDpoLLs4kYd1wo2q4UvPXI/0XiC8alpTuXcOgVBWHAyCKDX6/j4fXfk77c21iErCrqc\n9XhbQx2vvXUQRVG497ZNRKIxXn5TW+Vsrjtr1NJSX8OaZZ3YrRbsNiuNtVUoioJOp6PhbREPTXXV\nvFcEQ2ESOVOb/qER3jrcTSKV4sGtt5BIJJmeDbG6qyN/zj5x7x38+ncvc+r0CNXlPuaiUdYu68Tp\nsOVkphIv7nwTWVWor6rk6e07AchIEmuXdb73E3mZWNbRQvC1vdRUlmE06ElnspwaHObp7TsxGg18\n7qP3LHgVUxRFPnX/nQyNTdBYU8WJvkH2HjrGktYmjpzUevimg7NMzgQZG5/C5bATCIbwFnlYuaSd\nqUCQIncBN61fSzSVwajXs2TZcmzWd1d5URVFI46yhCpntagOKYsqSShSFjlnoCNnkjlCmdSyH+Mx\n5GwaVJVwOsMLvTMANBTakDNpQKVIl+GGpSXo9AbUVAJZb9CqkwscOfF27BucQlVV9g/6cVpDBKNJ\nTk2G2NxeyfhslMpCBwadjtd7x9CJAnd01VHqtl12PMK7gctq4r5VjTy1r4/XT01Q6rJx9wqt589p\n1VxY670FmPQ6/OE4axvKSGSy9E3N0VZeSGWhgzX1mgw3ksjwmY3tV2RxZXw2htmoo9CuVR0VRaW0\nwIZeJ3JjSwWprMTPdmly8WAsxfDMCJKsYDLo2NBcwc4dL9Az3URGVRkKxjDl+pxj6azWJ3rOuc3m\n5LsGnchQMEpaUmj0Oi/r/CuyRGJ6XKv6TWp9f3H/KIWyRCEgGC0kHT767ZVMG4tIOkrpaKhjfX3J\nZfU0LuL6gqg3YnIYMTnc532+4oYPX3T71gf/NBf5EcvJXWMYLGcXug02B1IqQTo8Q3xqGCmVwB2Z\nzRPCk4//E1IqPm+fJcs20nTX5wHo/s/vIBqMGMxnJa/OygZc1S2oqkJscjhPJhcdXBexiN8PXJIQ\n7tq1i+eee469e/eyevVqHnzwQb73ve9darPfGxQWuOhnFJPRwOT0DIHZEKXeIgzXgSz2fJBlmd+8\n8AqpdJq2xjocNisrOluv2XjOTOIEQeBoTx/j/gDj/gBLWhtx2m0IgoCqqhS6XSxtvxlZVvjNC6+g\nAg/ffRt2m1WLWriCk+3KshKWd7QSDM1R4SthcGQcgH2Huzl1egSAaCyOx+ViKjBDha+EgWFtUaCr\ntYmP33cHx08N8OP/ehFRFFne0cKx3n4AZEk+/0EXEP6ZIK/vO0xVWSmrutppra+lrbGOsUk/339s\nGwa9nuoKTV6XyWSZDs7OI4Szc2EOn+ilvrqS6vIrJ8MrcDpY2qY5hq7qamdVlyaHKi8tZt+R41SV\n+3h1934AfCXF/PGnPordakWv1/HndZ/M7+cLD9/3no8tiCI6kzkfET80NoHRYKTMV/6utlckid0H\nDqNMHgBVwdPczMryOAU2Mw2+Qp58eQ+pVIjbOyrwCBKZeARFymoVyXNF9qqqVR71mpz1jaFZsips\naqvGcJkGT7XFLgan56j1ukhnJYLRJBajnoND04Ri2oJHuVtb1JAVFatZj+EK9pa+G8zGU/nbA6f9\nRFNZVteXUuqyMRqMcnxsBlEUMOhF6goKqPNqfZaxVAar0cCO7hEGp+fwFdi5e0X9ZY2le2yGN3rH\nEQSBNfU+9vRPAipbOqqp97oQBAGzQc/GlnKGZyJ0VXt549Q4wWgSu8lIvz+E0eHBatSRSUvYTQZu\nrC+hezJEXZED/TmEdTKS4JlujYivriri9UE/AClJpqv83RmjKbJEIjBBLNfvF504Tdw/hiprxks6\nkxW7r4byNbfmpJ+1mAuKEQQBSVE4ORVm38gMb5yeZueAn9pCO+tqvayoKsJ4la+DRVxfMBcU5fsd\nz4fGOz/3jsfUcyqQ7Y/8+dnqZCqBlIxj82qtOaoiI6eTpOZmkFJa/6QqS1SsuwNXdQtyOsnhH/+f\nszsWBPQmK1Ub76Z87e1kkzH6n/2ZRiRN1rys1VXVjLW4DEXKko6GtOqlyTJPzbGIRSxi4XBJ1vPU\nU0+xdetWvvnNb87LI/ygYNO6VVRXlOGfCbJzzwEArBbLNan8vBv0D4/ls/PMJiORWJwXd+3m1o03\nXHMSW1NZxom+QSxmE6PjU/hKi/n8Q/fSPzTCq3sOwAFoa6pDkjVSNToxdUUJyhmIosjtH9JWOuOJ\nJL2DwySSKdqa6ukfGkVRVZKpNK+e1MhKMpXGbrOSSCSRFYXnXn4979aoKEpe3qoCS9tbaGmoJZ3J\nsrSt6YqPfSY0R3dPP421VZSXajEtL722l5HxSXoHhjCbTTz/8uvodDrqqytQFIV0JkNpcSGSJOGw\n2Wh8W5X1qd+9gn8myP4jJ/jKFz6x4IZJ1eVlnBocZtwfwGm3EYnFqSorXbAq9uETvXkDoNtvWofJ\naKSloeaiiwyiXk9rcyOHewdAhclIktGJaWxWC87ScpKiCawmZl01LFu/GsgZ62TTKNk0ciatVSUz\naaRUAikZY9fhXl46MY6qqiSjMW5tKjpLIAVAVfNSVlGvz90aEHWG81Yfb+msJp0tx2TQk5UVxmej\nFDusHBsNEIqlKLRbaPa5MehF3DYT27tHMOl13LakJm8ks9DY3F7FqckQbpuJA6c1UqQTBTa2VDA5\nF0NRVRRZZSgQYTIUp7LQwdGRACfGg5S4bLm+R5ici192UP0ZeaqqqszGkpxh7sOBCLt6xrAa9dyz\nogFfgZ2qQic2s4G7l9czHUkwHopxeGgag9VBY5ETj9OCL2dSpBcFpiJJvHYzL/ZMkJUVShxmZEVB\nVsAfS+bHICvnb8nPZ/1NDBKbOFP5G9EWGQCdyYLdV0PZ6pvzvX9mt/eCsk+9KNJZ5qazzE0snWXv\n8AxvDvr5xf5Bnu4e5fbWcjbUl1yVavEiPhg4t4rnrLiwOZ0g6uj67Nfy91VVRZEynLERFvVG2h76\nXxqhPJMzmYxjKdR+6+V0krh/9CyZzPW9NtzxaazFZSRmJjj0L18/czR0Jgt6i5X62z5OYfNyEjOT\njO9+Pid3teZlr67qZoz2AuRsBiWbXpS5LmIR7xGXnDV897vfZXx8nP3797Nu3TpSqRSSJGG3X399\ndu8Vsizz818/y4Q/QFtTXf5xp/3aZvudDzOhOV55cx8uux23y0k6kyGVzuQdRstLvflqzbXC0rZm\n6qsq2Ln3YL4X7/MP34vhnMgIj8tFQ00lsqxclfHarBY+/9C9+ftOu41gKEx1hY/RiSlS6Qw2q4Wa\nynKKPQU8+dx2QCO3bU11WEwmNt2wkpVL2lAUdZ5JzULgV8/tIBiaY/+xE3zqI1s5OTCUj9ywWS34\nA0EkWUaS5XyWoslkZOWSNjasWsZUIEgskSQWT/D4My9iMZvzBNBg0F+VvqKT/ac5dFyL8FjV1cby\njrZ8lMdCIBzVDGAyWYknn9+B3Wph3N+GIAgMjU2wed0qQuEoR06eYmVnG011VZwaHKGyrJQ/+dRD\nAPxk228BSCRT2K0WXA47iqLgcTkZGpugpqKM0alpwpEo7U317Dy8j7FJP5vXrebU1AzdvYOYjHZE\ng9Zz6GxcQu0dN6NIGS3/MZtGyWaR08n8ROnMCnwmEUfJpnPvRtDII4CiVR/Tej1ZVaB3LEivILKx\ntZL2iiIG/HO8fGIEURTR6wTmctW64ZkILWVXJ76ntthFbbGLUDzF0ZEZZEVBkhW2dw9TUWin3G1H\nrxPpnZwlmsxgMxnypM8fjnNTawU9EyEaSwsuiwwCLK/xIisqFqOerqoirGYDiqKSykpkJZmwJPPW\n4BQ947PoRIGtS2s5OjqDoqq0lhVq0ndFpshqpHtqjv5AFJtJT49fW4CLpbNM5xxISxxmvA4LelFg\nXa2XMpeVjKTQ4dMkfnI2Q3R8kMhoH5HRU0RG+/PxBTqjGbuvBt/KLdjLanD4ajF7vO9bVmc3GdjS\n5GNzYymnAhGeOz7G44eGeGt4hi+sa6LA8sFbyF3E9QNBENAZzvZai3oDhc3LL/h6c0ExK//k20CO\nTGYzSKk4OqPW+25yemi6+ws5MplATmsVSoNN++3NxsME+w4jJRP5ajpAxyNfxdhQQKj/KCef+D6g\nfdbOSFqb7vki9tIqImP9zJzYlzPk0Z7Tm624qpvRGc15Jci5rrSLWMQfAi55xT/++ONs27aNcDjM\n9u3bmZqa4hvf+AY/+9nPrsb4FhThaJwJv+aUNxuKsKKzDUmSaK6vubYDOw9eeXMffTm54323b2Zw\nZIwzM0dRFPEWXt38xgvBYbfNk8odPdlHIBiirqqcAqeTtcs7LztT8HJQ4SuhwqeZVnzxkfvxB4L8\n+ncvc6JvkPISLwa9nqwkUexxc8uNa/PbXY0eTQDjGfKm0/PEs9sJR2OYTUbWrVhCz8AwqqpQUeol\nk82ytL2ZCl8JL+x8k+dfeYPK8lJe3LkbvU5HY101yVSaZCrNLTeuQd/RQlWZ76rkVBYXutHpdMiy\nTCYjsefgUdYuX7JgpHDtsiVkMllS6QxHc/2Ls3OR3GcEdu09iD8QRFFVtr++l2M9fYxMTGG1mLl9\n03peeWMfbpeDJa2NqKrKr55/Gb1ez+YbVvL8q28AsHHNcnbtPQho8tTu3gFAiy0Zm5oGQEBg65Yb\nSWcyPLj1FnQGAzqjCayXvnbOVh+11W05Z6wjJRNIySgHegY5HYyjyjJunUytx0wgENV6JQGbbECQ\nMhh0Ah4hRToym+t7zBnr5BxaFwpum5kH1zSRyEj87shpMpLMSDDKR9c0MRtP8VqPJtuWFZW1jWUc\nGpqmzuuipayQlrIr44xsMujZ0HxWMrymXqtITIXjjM3GsJkMaHV+FVlROToSYGhGc2r12MxUFTrY\nFQszOpdgNJdZ2ZgzkREFgbpCB5PhJJKi0FJSMM9ptMXrIj41zNhruwgNHCM2cTpf+bAWl1Hcvhpn\nZSOO8noshSUL0lMlCALNXhdNxU72jwbZduA03995gr+6ZclVlxIvYhHvBoIgoDOatO/JHAxWByVL\nb7zgNq7qlrzbqpwjk1IyjikXyWErqdQMeVLxnHojniOc2jESMxNMHvj/27vz+CiqdG/gv6qu3rIv\nkIQlhC2IQBAVxQVFgsBoRJBl0Is4Lowzjo4yzOKgwihe4MqV8TLoHWW8LiDj5CpXGInLqzAILoCK\nGFYBIaFDkg7Zek0vVV3vH5UUaZKQAEk60L/v5xNNVVdXn87p6ubpc87zbEYoGAg778iHn4M1NQOl\nOz/BsU/zIRpNerAoWWIwZOZcGGPiUHNkDxy2wzBaY2CwxJwKKPtcAkEUtXqXosh1k3TBaTUgXLt2\nLd555x29DmHfvn1RXV3d4Q3rDMmJ8bjs0kEoKilFevcUfLtHSzaQ1i1FXw/VVaR1S8HhY8dhtZix\n87u9OGHX/hF61+SfIDkxodMClrbIve5qJCcmwGIxY+OnWwEAGd274c7br4twy8LFx8Zotf3qp7oY\njRIeuPMOVNXWYkCf8ytlcq5m5I3HD0eL0S+zJ94p+LS+XUbsO3wUDqcb1bUOvVTGP/75MWKtFjhc\nbjhcbgSCWuZNWVGQ0S0FttJyWMwmXDqwP+JiOy/hREb3VPzy7umoqXXi7xs+BKBlQL17al6HPJ7Z\nZNSD9769e6Kiqhojh1+Kdwo+RUVlNbL79oHVYsHR4yXo16cXqmq0eoeBQBBfffM9ahxO1DiceHDW\nNHxbeAAAIMsySitO6o/RMAoJaDVWU5ISUV3rQP+s3khMiMe+Qz/isiGDMPa6q87pOYgGA0RDDGBp\nvp+GdOuP3ZXa3zLYuxcKjhYjKbE3ruyfhMRYK64ZOhA3NwSU/joofi8Uvw+yzwvFX4eg3wFVkQGh\nfuZqw0ikCm2HQTwVONb/6GU+2riGJzHGrP+cdHoRbzbi3Z2H4Q/K6JMaj0E9ktGveyK6xVvPq2bj\n2cpIjMXs0VqmYo8/CF9QgVkyIDsjCbZqN1RVhcsXwLGTDpgTUuBXQlqGSFHA5b1TkdMzGUaDiOQY\nM/p3i6//c2lfxtVVlcP+/eeo2PMV/I5KAALie/ZDr2t+goQ+g5CQOTAsmUdnEAQBV9WvI/zbl4dw\nwF6L4Z00YkzUmQxGEwzG8OQ71pR09Bo1ocX7ZIy4ERkjbkRIkRvN1vDqAWVCn0HIummqFkzqPx6I\nkvZFtuP4D7B9vhHhi8mB0U+9BgA4+vHfUfbtZm19pCUGkjUGxpgEDJv1OwDAyX07UFddoQeakiUG\nxph4xPfSZqmpIYVTXSkiWg0ITSZT2NpBWZY7tEGdSRC0b/QBbZrb9/u10YWuVJS+wZhRVyK7bx8k\nxsdh85df44S9AhazCRndu8FqiVxq/OYYjRKuHjEMQVnGtp274HC6O7Q+4vmwWsz4tym34OCRYzhc\nZMO6Dz/t9Np+jcU1ShJ05+0TcehoMQZkZWLH7j34bu9BvT4joCWLGTqoP2xldqR3S8X40aNgMkpI\niIvFqMtzcO2Vl0XkOQBa6RazyaiXSYnvpGnYOYNPrX25b8bt+vrQUCgEp9uDxPg4VNU68P2+HzCg\nbybKT1ahrKISKUmJ+HjLl5AVBf0yeyE5MQG5141EUkICQqEQrr9qhJaB1uHCVSOGQRQFeOt8eoma\n28eP6dDpuH16ZuBXs7UaQ/9b8AkEUYTDU4fZ029HQhvL5IQUBaoc1KaxBgN6ZtZQMAAl4Ifs82iZ\nWX3aNC2lzgvZX9co3b1wai1kwx6xPqGOQdLKe0gSbh3eBxUuP2LNRry7U3tPlUMqruof+ezNsWYj\nJuT01bf/7frBUFWgylWHH+0OQFUxJC0RowakwyAKTYrBa2uJVTiOH8KJrz5E1Q/fAYKA5P5DkTVm\nCpKzL4MptuNLU7RFmVOb3hrTBT/PiCJNNEgwxSXCFBc+cyWh98AzrqHsmzsdWWOnatP/fV5tFoff\nqwdxKdmXQbLGae+n9cFk42rflQe+QeX+nWHnNCem4urH/gwA2Pf2C3AUHwwbfYxN66UnAirftQWy\nz6sn45EssTDFJSGme08A2npljk7SuWi1MP2yZcuQkJCA9evXY8GCBfj73/+OgQMH4je/+U1ntbFZ\n7VmYvsEPPxZBCYVw6cB+XbqGU0MNurRuKV1qZLA5Pr8fVTUO9Ezv3qX/ptu/24PNX2hv0jddMxLX\njYxcMNUSh8uNuNgYlJTZsW3HLvTt3ROjr74cQVmGZDB0yb9vrdOFispq9O/Tu1Omq54Ln9+Pb/cc\n0JNK5V5/dZdNKgUAh4uOY+v2Xeif1Rtjrx3Z4Y/XOHAM6QFlEKochFy/vkfx++pHJesg+30IBfxQ\nVRWHKz0od/sxPCMBSTFGqKoKQRAgSJI+Gtl4VDKSr+Fajx8PPrUY7/zpd0ALSXmctiM49snbcJYc\ngWSNRY+RN6PnVbkwxXXeiGdrqj1+bNhzHN/aqnBF7xTcd012l3xvIIpWITkYNvqohkJI7KMlqbN/\n/zm8FScg+z16wGlKSMYlk38OANi1aiE85cVh50vMGozhP5sPAPjmpT8i4KqBZGmY0hqDpL5DkHWT\nls275MsPAEEMG6E0J6bCmqItpVFDIWZ2vUB1eGH63/3ud3j33XcxaNAg5OfnY8yYMfr00YtNV1w7\n2ByDwXBO9fkiwWI269kyu7L+fXrhq2+1kdYBfSMzXbQ1DaNRWb16IKvR9MtIZ5c9k6SE+C7/pYXF\nbEZWrx7a9GEAmT3avzB6e8ru26dJJtmOJEpGbbpUC9NZm6NlHgyibzCgj0hqNSID+lTWhrU/ir9O\nqw8Z8OkBo5adVW04GSCeFkRKRi2AFNvvi5CkWHOTdUUN/I4qHP3kH6jcvxOmuCQMuGU20kfcEJZM\nI5JUVcWPlS58eawC3xyvggAgb2hvTBjck8EgURcjSsZmRycBIP2y0We87+U/fwZKwNdofaQXhkZ5\nGTKuuAkBZ7X2ZV190BlqlHzn+Lb39QRX+mOOuAGDbp8DVVXxxdKfQzRIejApmWPQPeca9Bw5DmpI\nQfFnGyBZrHowaTDHICY1A+bEVC07uxrilNcLVKv/khRFET/96U/DgsC5c+deVLUIidJSU/DY/f8G\nABGbLkqR07tHOn59350AAKvFEuHWXPi0zIPa+p62aggiQ42CSH1Kq9+nJ4lomNIadDsRCvgBaOU8\ntJPoJwMMYvgopHTq97a3KYTyb7fg2Kf5UEMh9LlxCnpfd4ueETGSlJCKY1Uu7CmtwfcnqlHp8cMs\nibhhQDpuvqQHkmO6RrBKRO1HEARIZisksxVIbLoUp/e1Pznj/a/9w0v1SwS8UOrfU6WGdc6qiszR\nk7Spro0CyoYv52R/HWzb/onT109m3TQVfW6cjICrBjv/6zcwmCxhAWWvlqx2ewAAIABJREFUayei\n2+CRCLgdKN35SdjopWS2Ija9D0xxiVBDCtRQSF+vSZ3rnIYWdu/e3d7tIIo4BoLRjYFgZJ1zENk4\ngGwURMq+Oih+LWGE0vCPm8YlPk6vEamivih2NUSzBYrsx+GNb6D26F4k9RuC7NvuhyW5e4c897by\nBmT8UOHAntIa7CurhScgwyAIyE5LwE+G9MblvVNg7qJTs4ko8gRBbDGgFEQRWWOmtHBPwGiNw+gF\nrzUJKM0J2nlEyYQ+Y+4IDyjrPGjIiB9w1cD2xcawdegAcMkdv0BaznVw2g6j8M2lECUjDOZTAWO/\nCXchsc8geCpKYP/+87DprgZzjJ68KyQHEFIUGExmrqM8Bx0612zr1q1YvHgxQqEQZsyYgQcffDDs\n9iVLlmDHjh0AAJ/Ph6qqKnzzzTcd2SQiIrpINJe2vjVqKHTaKKS2JjIUDMAY8wrie/SDq+I49qxZ\nBr+jClk33oFuQ0dBVUKoq7TXPzDqp7eKEA2GsGms2nb7BGXegIwjJ504XP9zotYLFUCMScKwHknI\n6ZmMwemJTZLfEBF1hDMFlMaYuDMGlHE9+mL0U1pAqTSsofTX6esXzYmpyBo7PSygVPx1+oihr6YC\nZV9/qtWKbOSy+xbAmDkQJ/fuwKF/vgrUj6Ia6kcoL53+MKypGag9th9VP+w6FWxaYiBZrEgeOBwG\no7l+eq0MyRITlXUoW3zG+/bta3a/qqptyjSqKAoWLVqE119/Henp6Zg+fTpyc3MxcOCp7E1PPPGE\n/vuaNWuwf//+s2k7ERHRWRFEEQazBQZz0xFhyRoHc0oavvjzw1DVEHKXbUC3IVeFTWVVAgGElIZR\nSB9CfjfkujrIfg8UXx0CHidCSsNnZKPyHvVTWxuX92gcRAKAJyDjx2YCQKMooF9qPG4d2hvZ3RPQ\nLzVeL31BRHShaBxQmk8LKC1J3dHnhkkt3jf1kitw/ROvakl56rO8Kj6vnmE1rmc/9Bt/px5IassM\n6iDqNSjLYP/+Cyj+OjSe9jpq3goYjGaUfPURbNs2ANBGOw0WKyRzDC7/+TMwmMyoKPwCjuIfYDBb\n60cntf+nDb8egiDA76zWAkqzFmheaGspDU8//fTTzd3w29/+Fp9//nmTny+++ALJycmYOnXqGU/8\n/fff49ChQ5g9ezYMBgOcTieOHTuGkSObz4q3dOlSzJ49G336tC1ZgtPpxOrVqzF58mSkpaVpGe0O\nH4YgCLBarQiFQjh8+DBEUYTVaoWiKDhy5AgMBgMsFgtkWcaRI0cgSRIsFguCwSB+/PFHGI1GmM1m\nBAKBsG2/34+jR4/CZDLBbDbD5/Ph6NGjMJvNMJlMqKurw7Fjx2CxWGAymeD1enHs2DFYrVYYjUZ4\nPB4UFRUhJiYGRqMRbrcbRUVFiI2NhSRJcLlcKC4uRlxcHCRJgtPpRHFxMeLj4/W/X3FxMRISEmAw\nGOBwOHD8+HEkJiZCFEXU1tbi+PHjSEpKgiiKqKmpgc1mQ3JyMgRBQHV1NWw2G1JSUiAIAqqqqlBS\nUoLUVO2CrKysDNs+efIkSktL9e2KigqUlZUhJUWrZ2W322G32/Xt8vJyVFRUIDlZqwdUVlaGyspK\nfbu0tBRVVVVIStKy8Z04cQI1NTX6dklJCWpra5GYqC2yttlscDqd+vbx48fhcrmQkKCldC8uLobH\n49G3i4qK4PV6ER+vJTA5duwYfD6fvn306FH4/X7ExWlz5X/88UcEg0F9+8iRI5BlGbGxWnmEw4cP\nIxQK6duHDh2CqqqIiYnRtwEgJiaGrz2+9vjau0hee6teeRk9d64G5CDG/sf/QU7qibLycqR26wbR\naEKlw4UqlwfpvbNgTkiGIxiCGyZkDhmBhMxseK0pkJN7ou+VNyCx72C4jfEIxqSi1yU5iE3PRE1Q\nhDckIjm1OwRRxJHjJ7DraCm+Lq7Ehr3H8d6eEnxrq0JJrQfdzAZckmDA9T1jcfcVWRiVmQJLyAez\noCIhLhaCIMBWXoE6vx9xMVbttVpWAV8goG8Xl9kRCMqItWrBb1FpOYLyqe1jJ8qhKApi6rePnihD\nKKQipr6U0Y8lpYCq6qWNfiwpBQBYzWaoqoqjJ8ogQIDVbEIoFMLRE2UQBQEWswmKEsKx0jIYRBEW\nkwmyouBYaTkkgwFmkxFBWUZRaTmM9duBoIyislPb/kAQxWV2mCQJJqMRvkAAxWV2mI1GmIwS6vwB\nHC+3w2I0wmiUUOfz43h5BawmE4ySBG+dD8ftFbCazTBKBnjqfLDZKxBjMUMyGOD21sFmP4lYiwWS\nwQCXx4uSipOIs1phMIj6dnyMFQZRhLN+OyE2BqIowuH24ERFJRJjYyGKAmpdbpw4WYmk+r6pcbpR\nerISyfFx2mvR6ULpySqk1CfZqnY4UVp5aruq1onyqmok129X1jhgr65FcoL2PnGyphYna2qRVJ9c\nrKK6FpW1Dn3bXlWDaocLifHa+0Z5VTVqnC4k1pf8KaushsPlRkL9dunJKjg9XiTU16g9UVEJ12nb\nbm8d4uu3S+wn4fH5EV//2uJrj6+9SL32SiqqEFCB5NTuMCcko6SiGr5AAMnd05GQmQ2HJRWxWUOQ\ndflopA27BiVVDgRlGRkDhiBz9G1QBlyNjKsmYMD1tyBjxA0o9QShqkB8QgJi0zNRa01DTHomkrqn\nQ7JY4UrqAwgC3D8W4uTe7Th46CAcR/fBc2wPqo7sgdz/KoiCgBOb/oEf/vk/+HrzRpRs2wD79g9Q\nXvgVfD2HQDIYYN/xIY7v+AT7du2Ex3YIPnsRXJXlOBkywWgwQK61w11diaITJyCJIiwWC/zBYJtf\neymXDMf5aHGEcM2aNed1YrvdjoyMU3Wn0tPTUVhY2OyxJ06cQElJCa655ppmb8/Pz0d+fn7YvkCg\n+WxwRERE56KuvBh+owu5y9YjMWswKk6ePKfziAYDREOMlkXQZEVMWi8AgKFOha24BN8Wu7HvxyIU\nl9qhAjAZJVzSpxeGD45Hv7QUjBqaDYOqoKj4ONSAFwkJcVB8XqDaAdnrhq9KBQTAV1sFxSChTg0C\nUOGrrQIsFgRMAkSDEUowCJXTSYmIdA2jlJYk7Utf4UQZACC+V3/E9+qPupJSJMfHISVR+9K34cuI\nvmOnIuumO9D9RBmS4mKQYJIQ9HlQ5lUAAD2uGof4rMEwllUgQVIRIyhQGj1uwF0Lj/04amvcUI75\nUQMZxtQe6D45GwBwpOANVBUfwkm/CptRgFUSYOmVjZSJWg3KQxv+BldtDaplEZ7UJMTHxUNMSgcy\nBrXP36W1OoTn6sMPP8Tnn3+OxYsXAwDWr1+PPXv2YMGCBU2OXbVqFex2e7O3taQj6hASEVH0Gppk\nwFtP/AqXP7SkXc7nDwRw4NhxFB4+hsLDR3HsRBlUVQsAB/ftg2ED+2Jo/ywM7NPrrMrHqKFQ/TRW\nf/0UVm09pOLznaoN6XNrRbN9XqghBYCg59CpPwsEQdTKeTRMXZWMELpoTVMiootJSJERCvohWbSR\nU2fJjwi4aiD7vVB8dZD9XhhjE9Bz5DgAwA/rX4G3sixs/WVy/2EYepdWF77D6xCeq4yMDJSXl+vb\ndrsdaWnN16P74IMPsHDhwo5qChERUZtccvuDrR/UAlVVcby8Al/v+wGFh47iYJENsqJAMogYlJWJ\nmRPHImdA37MOAE8niKKeTMcY2/rxofoakKcCyCBC9ZkCteCxvi6k1wMl4INeyqNh7SMQtv5RNBgh\nSMZ2TaBDRBRNxNPKICX0HnDG4y+Z8osm+7Qv+9pHhwWEOTk5KCoqgs1mQ3p6OgoKCrB8+fImxx09\nehROpxOXX355RzWFiIioVZI1DjHdepzVfWRFwf4fi/H1/h/w9b4fUFFdCwDo1zMDt46+GsMH9ceQ\nflmwmNteTqO9iZIEUZIAS0yrx+qlPIJ+hIJBKLK/vhakXwsaG0Yfm0ugc+okEMT60UeDpAWPRpOe\nPIeIiM5feyauaTUgVFUV//znP2Gz2fDII4+gtLQUlZWVGD78zIsXJUnCwoULMWfOHCiKgmnTpiE7\nOxsrVqzAsGHDMG6cNgRaUFCAW2+9lVNUiIgooiRrG4bboH0uHiyyYfPO7/BV4X54fX6YJAnDB/XH\ntHE34Mohg/SEDReasy3lEVKU+uDxzKOPQZcDITmgjTwCWi0yQYAoGSFKJi1glCQIrAdLRNTpWl1D\n+Kc//QmiKGL79u348MMP4XA4cP/992PdunWd1cZmcQ0hERG1p6sG9cXXX34DmJsPhqqdLvzr6934\n19e7UXqyChaTEdcMH4Jrci7F8Oz+ER0FvBCE5CAUfx0Uvw9KwAe5zougpxZBtxNBrwvBOrceKEKF\nNtJoMGjBYsMPRxmJiJro8DWEhYWFeO+99zBlilZsMjExEcFgsJV7ERERXWBaqO1XXlmNdZu24bNv\nCyErCob0z8IduaNx3WVDYG0heKSmtNFAI4yxCc3erqoqlIBPCxoDPr2uo+x2Iuh1ho0yqqqqLXUU\n60cZGwJGycgZR0REZ6nVgFCSJCiKor/BVldXQ+SUDiIiusicHkh4fT68/dG/8PGXX0MURIwbdTkm\n3XgtenZPbeEMdD4EQdCLVrekpVHGgNuBoMeFgLOGo4xERGep1YBw9uzZePjhh1FVVYUXXngBH330\nEebOndsZbSMiIupEpwLCA0eL8cLadahyOHHzqCswc8JNel0qipxWRxlDofBRRr/vtFHGWoTkIE71\ndaO1jBxlJKIo1WpAePvtt2Po0KHYvn07VFXFf//3f2PAgDOnRiUiIrrQmBJSAAD/+mY3XsrfgPSU\nZCz59QO4JCszwi2jthJEEZIlBtIZMqo2jDLKvrpGo4yO+h+OMhJR9Gk1IKytrUVqairy8vL0fcFg\nEEajsUMbRkRE1Jkkayy27/0BL/5jPXIG9sPvfzYTsVZLpJtF7ez8RxmZMZWILi6tBoRTp05FWVkZ\nEhK0N06n04nu3bsjNTUVzz77LIYNG9bhjSQiIupowaCMles2IrtPb8x/4N9g5hefUelsRhkVvw9K\n0K+NMrpr9IypflctQmoI2tRUFQIAQRDDRxmlDisFTUR0Vlp9Nxo9ejTGjx+PG264AQDw+eefY9u2\nbbjlllvwzDPP4J133unwRhIREXW0k9U16K0omHf3NAaDdEZtyZgaCvihBE6NMga9bgTdDgS9DgTd\nbiiBOuhrGQVoU1MlCYaGUUajsV0LTxMRtaTVgHDv3r1YtGiRvj169Gj8+c9/xvz58xEIBDq0cURE\nRJ2l1unC2CuGIy0lOdJNoQucIAgwmC0wmFuechxSlEajjD7IPi9kj7N+lNEJf001VFVBeAIcEaLR\nqAeNgiQxAQ4RnbdWA8KkpCSsWrVKX0P4wQcfIDExEYqisPwEERFdNFRVxbgrh0e6GRQlRIMBYkwc\njDFxLR6jBPyn1jIGfAh6PJC9DQlw3JCd3lMJcKCtfxRFg54tlUEjEbVFqwHh888/j5deegkPP/ww\nVFXFlVdeieXLl0NRFPzXf/1XZ7SRiIiow4miiP69MiLdDCKdwWSGwWRu8XY9AU7Dj98Huc6DoNsB\nuc6FoMcF2VGHhvIagPbFh9h4PaNkZNBIFOVaDQhTUlKwYMGCZm/Lyspq9wYRERFFgslohIEzX+gC\n0pYEOGFZU4P+sKAx6HVA9nrCg0YVUKFCFMVGWVMZNBJdzFoNCKurq/G3v/0NR44cgd/v1/evXr26\n1ZNv3boVixcvRigUwowZM/Dggw82OeaDDz7Aiy++CEEQMHjwYCxfvvwsnwIREdH5MxqZ9ZEuPucc\nNHrdCHqcWhIcjxuK34dmg0ajSQ8cBYOBQSPRBajVT7/f/e53uOWWW7BlyxY888wzeO+995CSktLq\niRVFwaJFi/D6668jPT0d06dPR25uLgYOHKgfU1RUhFWrVuHtt99GYmIiqqqqzu/ZEBERnaOUpMRI\nN4EoItocNDZaz6gE/NqUVK+rUeZU32l3UiEYGqanmmGoDxqJqGtpU2H6GTNmYPXq1bj66qtx9dVX\n4+677271xIWFhcjKykJmZiYAIC8vD5s2bQoLCP/3f/8Xs2bNQmKi9iGcmpp6rs+DiIjovMTFWCPd\nBKIuSxBFSNZYSNbYFo9pEjQ2lNvwOBF01yLgrEFIkdFQnxEqtFIbRhNEk1mbmspp20SdrtWAUKov\nnJqWloYtW7YgLS0N5eXlrZ7YbrcjI+PU4vz09HQUFhaGHVNUVAQAuPPOOxEKhfDII4/gxhtvbHKu\n/Px85Ofnh+1jyQsiIiKirqMtQaOWOdUL2V8HxVeHgNuBoKsWAVcNfK5aLWtqo/qMomSEwWiuDxg5\nrZuoI7R6ZT300ENwuVx4/PHH8eyzz8Lj8WD+/PmtnlhV1Sb7Tp9XrigKiouLsWbNGpSXl2PWrFnY\nuHEjEhLCC73OnDkTM2fODNtXUlKCcePGtdoOIiIiIuoaGjKnmuKb1vtsWMso13m12owetzay6K5B\nwOWEEqjT1zACKgRBhGjidFSi89VqQDh27FgAQHx8PNasWdPmE2dkZISNJNrtdqSlpYUdk56ejhEj\nRsBoNCIzMxP9+vVDUVERhg9nHSgiIiKiaNLaWsaQLGuji746KIE6BD0uBFy1TaejCgBCKqejErVR\nqwGhzWbDW2+9hRMnTkCWZX3/yy+/fMb75eTkoKioCDabDenp6SgoKGiSQfTmm29GQUEBpk6diurq\nahQVFelrDomIiIiIGoiSBFFKgDE2odnbzzQd1e9yQFVD0NcvCgJEyQjRaILBZOF0VIpqrb76H374\nYUyfPh1jx46FeBbfrEiShIULF2LOnDlQFAXTpk1DdnY2VqxYgWHDhmHcuHG44YYb8MUXX+DWW2+F\nwWDAH/7wByQnN51CQERERER0Ju0xHVVVVW0FoyBowaJk4vpFuugJanOL/RqZMWMG3nnnnc5qT5s1\nrCHctGkTevfuHenmEBHRBe6mm27ClnffBczmSDeFiDpZ+HRUH4JeD2RPLQLuWgTdLi1gBOrXMJ42\nwmg0Q5Ak1mCkiOk5fsZ53b/VrzvuuecevPjii7j++uthMpn0/UOHDj2vByYiIiIi6gpam44aUhQo\nfi8Uvw+Kvw5ynRdBT602LdXjguyoPnVw/axUUZL0GoyiJHENI3VZrQaEhw4dwoYNG7B9+3b9mw9B\nELB69eoObxwRERERUaSJBgPEmHgYY+Kbvb2hBqPsq9OmpHo9kL0OBFwOBD1O+F212hpGQQBCqpb7\nRpIaTUll0huKnFYDwk8++QSffvpp2OggERERERFpWqvB2LCGUfHXQfH7IPu9CLqdCLodCHqd8NdU\nIqSGtMEXVdXy3hgMWrBoNMEgGVlWgzpMqwHh4MGD4XK5kJqa2hntISIiIiK6qLRWUkNVVYQCfsh+\nrxY4+uoQ8Dghu2u1EUZHNdSQAr2shtq4DqMJomRi4hs6Z62+cqqqqnDLLbcgJycHRqNR399a2Qki\nIiIiImqdIAgwmC0wmC0tHqOV1dBqMCp+H4Jed/0IowNBt7s+8U19YpuGoLFhWqrRBNFohCBylJGa\najUg/PWvf90Z7SAiIiIiohY0lNUAkpq9XUt8owWLStAH2eeF7HFqU1O9TvhrqhEKKdBSgggAQoAg\n6tlStZFGI7OlRqFWA8Krr766M9pBRERERETnSEt8EwdjTFyLxyjBwKmgsb4uY9DjqP9xIeCs0ctq\nQIU2ymgwnAoYjSaIXMt40Wk1INy9ezeeffZZHD16FMFgEIqiwGq1YteuXZ3RPiIiIiIiagcGowkG\nowmIS2z29rDkNwEfFL+vfi2jE8E6bYpqKOgHhPqMqKr2nyajjMyYekFpNSBctGgRXnjhBTz22GNY\nt24d1q9fj+Li4s5oGxERERERdZLWkt8AQEiW9XWMDaOMsteBgNtZX2LDoZXYaJQAR5uaKmnJb4zG\n+rqMHGnsKtqUjigrKwuKosBgMGDatGm48847O7pdRERERETUxWiB3RlqMtZnTFUCdVoinIAPQY8H\ncp1LW9NY54bf5URIVcLXK6oqBNFQHzDWjzRKEtc0doJWA0Kr1YpAIIBLL70Uy5YtQ1paGrxeb2e0\njYiIiIiILiBtyZgKaOsZQwGfFjQG/Qj5fQh4XZC9bsh1TsheD2RnHQAVUBuCQm19o2iQtICxfooq\n1zWen1YDwmXLlkFVVSxcuBBvvPEGysrKsHLlyjadfOvWrVi8eDFCoRBmzJiBBx98MOz2//u//8Oy\nZcuQnp4OALj77rsxY8aMc3gaRERERER0oWhYz2iMbfkYNRTSgsWGwDHgh+Krg1znRNDjhlznQtDl\nQEgOQC+5AUCFClEQIRiNWsBYX6eRaxub12pA2KtXL1RXVwMAHnnkkTafWFEULFq0CK+//jrS09Mx\nffp05ObmYuDAgWHH3XrrrVi4cOFZNpuIiIiIiC5mgihCMlsBs/WMx2nrGn3aVNWgFjzKdR7IXheC\n9aOOflftaWsbAUCFUD/aqCfEMRiibppqiwGhqqp48cUX8dZbbwEAQqEQDAYD7r777jYFhoWFhcjK\nykJmZiYAIC8vD5s2bWoSEBIREREREZ0rbV1jHHCGkhuqqiIUDDQKHP2Q/XXaFFWPC8E6N2SvG0rA\nh4apqfV31KapSkZtqqrRBOEim6baYkD45ptvYteuXXj33Xf1oM5ms+Hpp5/GG2+8gXvvvfeMJ7bb\n7cjIyNC309PTUVhY2OS4//f//h++/vpr9OvXD/Pnz0ePHj3O8akQERERERE1JQgCDCYzDCbzGY/T\nS28EfHoAqfh8bZ+megFmU20xIFy/fj1ee+01pKSk6PsyMzPxn//5n7j//vtbDQhVVW2y7/Th17Fj\nx+K2226DyWTC22+/jccffxyrV69ucr/8/Hzk5+eH7QsEAmd8fCIiIiIiorPRltIbgDZNNRTUsqhq\n6xz9CHq9bcymKp7KpGrURh4jub6xxYBQluWwYLBBSkoKZFlu9cQZGRkoLy/Xt+12O9LS0sKOSU5O\n1n//6U9/iueff77Zc82cORMzZ84M21dSUoJx48a12g4iIiIiIqL2pE1TlSBZz5AVB0BIDmpBo9+v\nB5BBrxuy16WNNno9CPoa1jcCp0YdG69v1BLjdNT6xhYDQqPR2OKdznRbg5ycHBQVFcFmsyE9PR0F\nBQVYvnx52DEVFRV6kLh582YMGDCgre0mIiIiIiLq0rQsp8YW6zYC57i+UQWAECCc/8hiiwHhwYMH\nccUVVzTb4LZM15QkCQsXLsScOXOgKAqmTZuG7OxsrFixAsOGDcO4ceOwZs0abN68GQaDAYmJiVi6\ndOn5PRsiIiIiIqILyFmtb2ymDMd5P77a3GK/C0DDlNFNmzahd+/ekW4OERFd4G666SZsefddwHzm\nD2QiIqIuJb7l0ce2YHVGIiIiIiKiKMWAkIiIiIiIKEoxICQiIiIiIopSDAiJiIiIiIiiFANCIiIi\nIiKiKMWAkIiIiIiIKEoxICQiIiIiIopSDAiJiIiIiIiiFANCIiIiIiKiKMWAkIiIiIiIKEoxICQi\nIiIiIopSDAiJiIiIiIiiVIcGhFu3bsXEiRMxfvx4rFq1qsXjPvroI1xyySXYs2dPRzaHiIiIiIiI\nGumwgFBRFCxatAivvvoqCgoKsHHjRhw5cqTJcW63G2vWrMFll13WUU0hIiIiIiKiZnRYQFhYWIis\nrCxkZmbCZDIhLy8PmzZtanLcihUrMGfOHJjN5o5qChERERERETVD6qgT2+12ZGRk6Nvp6ekoLCwM\nO2b//v0oLy/H2LFj8dprr7V4rvz8fOTn54ftCwQC7dtgIiIiIiKiKNNhAaGqqk32CYKg/x4KhbB0\n6VIsXbq01XPNnDkTM2fODNtXUlKCcePGnX9DiYiIiIiIolSHTRnNyMhAeXm5vm2325GWlqZvezwe\nHDp0CPfccw9yc3Oxe/duPPTQQ0wsQ0RERERE1Ek6bIQwJycHRUVFsNlsSE9PR0FBAZYvX67fHh8f\njx07dujbs2fPxh/+8Afk5OR0VJOIiIhadP/990e6CURERJ2uwwJCSZKwcOFCzJkzB4qiYNq0acjO\nzsaKFSswbNgwTvckIqIu5Z577gEqKyPdDCIiok4lqM0t9rsANKwh3LRpE3r37h3p5hAR0cWgshJg\n1msiIrqQxMef1907tDA9ERERERERdV0MCImIiIiIiKIUA0IiIiIiIqIoxYCQiIiIiIgoSjEgJCIi\nIiIiilIMCImIiIiIiKIUA0IiIiIiIqIoxYCQiIiIiIgoSjEgJCIiIiIiilIMCImIiIiIiKIUA0Ii\nIiIiIqIo1aEB4datWzFx4kSMHz8eq1atanL722+/jUmTJmHy5Mm46667cOTIkY5sDhERERERETXS\nYQGhoihYtGgRXn31VRQUFGDjxo1NAr5Jkybh/fffx4YNGzBnzhwsXbq0o5pDREREREREp5E66sSF\nhYXIyspCZmYmACAvLw+bNm3CwIED9WPi4uL03+vq6iAIQpvPrygKAKC8vLydWkxERFGvpgYwmSLd\nCiIioraLjUVGRgYk6dxCuw4LCO12OzIyMvTt9PR0FBYWNjlu7dq1eP311xEMBvHmm282e678/Hzk\n5+eH7fN4PACAWbNmtWOriYiIiIiILiybNm1C7969z+m+HRYQqqraZF9zI4CzZs3CrFmz8P777+Ov\nf/0rnnvuuSbHzJw5EzNnzgzb5/P5sHfvXnTv3h0Gg6Fd2vzLX/4SL7/8cruci9oP+6VrYr90TeyX\nron90jWxX7ou9k3XxH7pmn75y1+GDcSdrQ4LCDMyMsKmc9rtdqSlpbV4fF5eHp5++uk2n99isWDk\nyJHn08QmTCbTOUfW1HHYL10T+6VrYr90TeyXron90nWxb7om9kvXZDKZznm6KNCBSWVycnJQVFQE\nm82GQCCAgoIC5Obmhh1TVFSk/75lyxZkZWV1VHOIiIiIiIjoNB27mGOjAAAL2ElEQVQ2QihJEhYu\nXIg5c+ZAURRMmzYN2dnZWLFiBYYNG4Zx48bhrbfewldffQVJkpCQkNDsdFEiIiIiIiLqGB0WEALA\nmDFjMGbMmLB9jz32mP77U0891ZEPT0RERERERGdgePpsFu5FgWHDhkW6CdQM9kvXxH7pmtgvXRP7\npWtiv3Rd7Juuif3SNZ1Pvwhqc+lAiYiIiIiI6KLXYUlliIiIiIiIqGtjQEhERERERBSlGBASERER\nERFFKQaE9bZu3YqJEydi/PjxWLVqVaSbE9Vyc3MxadIkTJ48GVOnTgUA1NbW4r777sOECRNw3333\nweFwRLiVF7/58+fj2muvxW233abva6kfVFXFv//7v2P8+PGYNGkS9u3bF6lmX/Sa65eVK1fihhtu\nwOTJkzF58mR89tln+m2vvPIKxo8fj4kTJ2Lbtm2RaHJUKCsrw+zZs3HLLbcgLy8Pb775JgBeM5HW\nUr/wmoksv9+P6dOn4/bbb0deXh7+8pe/AABsNhtmzJiBCRMmYO7cuQgEAgCAQCCAuXPnYvz48Zgx\nYwZKSkoi2fyLVkv98sc//hG5ubn69XLgwAEAfB/rbIqiYMqUKfjFL34BoJ2vF5VUWZbVcePGqceP\nH1f9fr86adIk9fDhw5FuVtQaO3asWlVVFbbvueeeU1955RVVVVX1lVdeUZctWxaJpkWVnTt3qnv3\n7lXz8vL0fS31w5YtW9QHHnhADYVC6nfffadOnz49Im2OBs31y1/+8hf11VdfbXLs4cOH1UmTJql+\nv189fvy4Om7cOFWW5c5sbtSw2+3q3r17VVVVVZfLpU6YMEE9fPgwr5kIa6lfeM1EVigUUt1ut6qq\nqhoIBNTp06er3333nfroo4+qGzduVFVVVRcsWKCuXbtWVVVVfeutt9QFCxaoqqqqGzduVB977LHI\nNPwi11K/PP744+qHH37Y5Hi+j3Wu1157TZ03b5764IMPqqqqtuv1whFCAIWFhcjKykJmZiZMJhPy\n8vKwadOmSDeLGtm0aROmTJkCAJgyZQo+/fTTCLfo4nfVVVchMTExbF9L/dCwXxAEjBgxAk6nExUV\nFZ3e5mjQXL+0ZNOmTcjLy4PJZEJmZiaysrJQWFjYwS2MTmlpaRg6dCgAIC4uDv3794fdbuc1E2Et\n9UtLeM10DkEQEBsbCwCQZRmyLEMQBGzfvh0TJ04EANxxxx36v8U2b96MO+64AwAwceJEfPXVV1CZ\nJL/dtdQvLeH7WOcpLy/Hli1bMH36dADa6Gx7Xi8MCAHY7XZkZGTo2+np6Wf8wKCO98ADD2Dq1KnI\nz88HAFRVVSEtLQ2A9gFfXV0dyeZFrZb64fRrKCMjg9dQJ1u7di0mTZqE+fPn69MS+d4WGSUlJThw\n4AAuu+wyXjNdSON+AXjNRJqiKJg8eTKuu+46XHfddcjMzERCQgIkSQIQfk3Y7Xb06NEDACBJEuLj\n41FTUxOxtl/MTu+XhuvlhRdewKRJk7BkyRJ9aiLfxzrPkiVL8Pvf/x6iqIVuNTU17Xq9MCAEmo2a\nz/SNCHWst99+G++99x7+9re/Ye3atfj6668j3SRqBa+hyLrrrrvwySefYMOGDUhLS8N//Md/AGC/\nRILH48Gjjz6KJ554AnFxcS0ex77pXKf3C6+ZyDMYDNiwYQM+++wzFBYW4ujRo02Oafjbs186z+n9\ncujQIcybNw8fffQR1q1bB4fDoefaYL90jn/9619ISUlptfD8+VwvDAihRdXl5eX6tt1u17/Rpc6X\nnp4OAEhNTcX48eNRWFiI1NRUfRpCRUUFUlJSItnEqNVSP5x+DZWXl/Ma6kTdunWDwWCAKIqYMWMG\n9uzZA4DvbZ0tGAzi0UcfxaRJkzBhwgQAvGa6gub6hddM15GQkIBRo0Zh9+7dcDqdkGUZQPg1kZGR\ngbKyMgDaVEaXy4WkpKSItTkaNPTLtm3bkJaWBkEQYDKZMHXq1BavF76PdYxdu3Zh8+bNyM3Nxbx5\n87B9+3YsXry4Xa8XBoQAcnJyUFRUBJvNhkAggIKCAuTm5ka6WVHJ6/XC7Xbrv3/xxRfIzs5Gbm4u\n1q9fDwBYv349xo0bF8lmRq2W+qFhv6qq2L17N+Lj4/mh0Ikar9n49NNPkZ2dDUDrl4KCAgQCAdhs\nNhQVFWH48OGRauZFTVVVPPnkk+jfvz/uu+8+fT+vmchqqV94zURWdXU1nE4nAMDn8+HLL7/EgAED\nMGrUKHz88ccAgPfee0//t1hubi7ee+89AMDHH3+Ma665hiNRHaC5funfv79+vaiq2uR64ftYx/vt\nb3+LrVu3YvPmzfjzn/+Ma665BsuXL2/X60VQuSoXAPDZZ59hyZIlUBQF06ZNw0MPPRTpJkUlm82G\nhx9+GIA2j/22227DQw89hJqaGsydOxdlZWXo0aMHVqxYwW8HO9i8efOwc+dO1NTUIDU1Fb/+9a9x\n8803N9sPqqpi0aJF2LZtG6xWK5YsWYKcnJxIP4WLUnP9snPnThw8eBAA0KtXLyxatEj/UP7rX/+K\ndevWwWAw4IknnsCYMWMi2fyL1jfffINZs2Zh0KBB+hqPefPmYfjw4bxmIqilftm4cSOvmQg6ePAg\n/vjHP0JRFKiqip/85Cd45JFHYLPZ8Jvf/AYOhwOXXnopnn/+eZhMJvj9fvz+97/HgQMHkJiYiBde\neAGZmZmRfhoXnZb65Z577kFNTQ1UVcXgwYPxzDPPIDY2lu9jEbBjxw689tpreOWVV9r1emFASERE\nREREFKU4ZZSIiIiIiChKMSAkIiIiIiKKUgwIiYiIiIiIohQDQiIiIiIioijFgJCIiIiIiChKSZFu\nABERUXurqanBvffeCwCorKyEKIp6UXir1Yp//OMf7f6Y+/fvx9q1a7F48WKsXLkSMTExeOCBB87p\nXM899xxuvPFGXHvtte3cSiIionAMCImI6KKTnJyMDRs2AMB5B2dt9fLLL+NXv/pVm49XVRWqqur1\n8Rq7++67sWDBAgaERETU4RgQEhFRVLn88svx3XffYceOHVi5ciVSU1Nx8OBBjB8/HoMGDcLq1avh\n9/vx0ksvoU+fPqiursaf/vQnlJaWAgCeeOIJXHnllWHndLvd+OGHHzB48GB935EjRzB79myUlpbi\nZz/7Ge655x6UlJTg5z//OUaNGoXdu3fjpZdewsqVK7F3714IgoBp06bh3nvvRa9evVBbW4uTJ0+i\ne/funfr3ISKi6MI1hEREFLUOHjyIJ598Eu+//z42bNiAoqIivPvuu5g+fTrWrFkDAFi8eDF+9rOf\nYd26dVi5ciWeeuqpJufZu3cvBg0aFLbv2LFj+J//+R+88847eOmllxAMBvX9U6ZMwfr161FTUwO7\n3Y6NGzfi/fffx9SpU/X7DxkyBLt27erAZ09ERMQRQiIiimI5OTlIS0sDAPTp0wfXX389AGDQoEHY\nsWMHAODLL7/EkSNH9Pu43W643W7ExcXp+06ePInk5OSwc48ZMwYmkwkpKSlISUlBVVUVAKBnz54Y\nMWIEACAzMxM2mw3PPvssxowZg9GjR+v3T01NRUVFRQc8ayIiolMYEBIRUdQymUz676Io6tuiKEJR\nFABAKBRCfn4+LBZLi+exWCwIBAItnttgMECWZQBATEyMvj8xMREbNmzA559/jr///e/48MMPsXTp\nUgCA3+8/42MSERG1B04ZJSIiOoPRo0fjrbfe0rcPHDjQ5Jj+/fujuLj4rM9dXV0NVVUxceJEPPbY\nY9i/f79+W1FREbKzs8+t0URERG3EEUIiIqIzePLJJ7Fo0SJMmjQJiqJg5MiRWLRoUdgxAwYMaHYq\naWsqKiowf/58hEIhAMC8efMAAMFgEMXFxRg2bFj7PREiIqJmCKqqqpFuBBER0YXujTfeQGxsLGbM\nmHHe5/rkk0+wb98+zJ07tx1aRkRE1DJOGSUiImoHd911F4xGY7ucS5Zl3H///e1yLiIiojPhCCER\nEREREVGU4gghERERERFRlGJASEREREREFKUYEBIREREREUUpBoRERERERERRigEhERERERFRlPr/\n6kjuASA9m/kAAAAASUVORK5CYII=\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a3a2fcef0>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA3AAAADcCAYAAAAx3EPfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Better still, with a reasonable spread and intuitive failure PDF. \n\nHowever, it's currently modeling the damages as having no skew, which is not at all what we are observing...note the skew-change between the 2nd and 3rd observation times. We can use the same parameter priors (half-norm), but switch out the students-T for a **SkewNorm** distribution, which should capture heavy-tailed behavior *along a direction*. We let the parameter governing this effect vary from negative to positive, hopefully to see a skew \"switch\" over time. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "n = 3000\nparam0 = {'x':(.9, .1),\n 'b':(.0, 0.001),\n 's':(-.5, 0.5)}\n\n# sps.t\nlog=particle_run(n, sps.halfnorm, param0, times, df2, likefunc=sps.skewnorm, draw=False)\nparticle_plot(log)\n",
"execution_count": 76,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a38923828>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA4QAAADyCAYAAAAV3Qt6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd8XOd54PvfOWf6DDAYDAa9FwJg7yIpUiRFdVPFqpZs\ny87NJnYcx9l1bmL7btYrJ9c39u7a8U1yfWPHVS6SLMtqVBdJUSQl9oZG9N7LANPLKfvHgCBpkRLF\nBkh8v58PPxhMfTAoPM953vd5JMMwDARBEARBEARBEIRrjjzbAQiCIAiCIAiCIAizQySEgiAIgiAI\ngiAI1yiREAqCIAiCIAiCIFyjREIoCIIgCIIgCIJwjRIJoSAIgiAIgiAIwjVKJISCIAiCIAiCIAjX\nKJEQCoIgCIIgCIIgXKNEQigIgiAIgiAIgnCNEgmhIAiCIAiCIAjCNUokhIIgCIIgCIIgCNcokRAK\ngiAIgiAIgiBco0RCKAiCIAiCIAiCcI0SCaEgCIIgCIIgCMI1SiSEgiAIgiAIgiAI1yiREAqCIAiC\nIAiCIFyjREIoCIIgCIIgCIJwjRIJ4RymaRrHGpvp7h8EIJlUUVXtvPdvbO3gV3/YxvHGlqsVoiAI\ngiAIgiAIH2Gm2Q7gWqTpOvUn20hPc1JWVHDe+7317iH2H6sH4PbN63lj9z7MJoVH77sTr8cNgKpq\nnGzvJNubyatv7SUWT9A/NMri2iokSboqX48gCIIgCIIgCB9N11xCODEZoHdgiHnlxdhttgt6TCgc\nYXhsgtLCPHYfOEpP/yAb166kpCDvQ79+3ck2fvfia4QiUXxeD/d/4iaON7ZgtVi4fdP1mM2nvyUJ\nVZ253NU7gKqqqKpKQ0s74UiE4vw8uvsHOdbYjElRyM/x0TMwRGFu9kwyOBkIYrNaiMUTvLJzLw67\njTtuXI/ZZGJiMoDTbsNqtXzor0MQBEEQBEEQhI++j3VCaBgGhmEgy6mVsaqq8fgzLxKJxqhvzuPm\nDWvo6htgflU5LqfjrMe2d/fRNzTM4poqfvWHlwiFI5QXF9LR0wekqnefu/9OAGLxOHsPHsNqtdAz\nMEQ0GufuWzeR5cl4T0yv7XqHvqERkqqKJyOd442ttHb2AJCR7qK+uR1FUXj4rlu5ce0qEokk+bnZ\nVBQXMjE1hdVsprOnn/7hEY42NM8kpaqmcevGdcQTCXoHhujqG2BiMsCrb6WSwPLiQjp7+wGoLC1i\nKhjipe278bjT+cvPPXjBybEgCIIgCIIgCB8fH5uEMBKNIUnMJDahcIRfPvMi4UiMBz5xE2VFBeiG\nTiKRnLn/r/7wEvFEguaOLh6+63Z27TuEpussX1TL09teRzcMegeGCIUjqeeMRvG40/FPBXDYbPzL\nz58gKzODzAw3R+qaCARDyLKMw27jaP1Jbt6w5j1xDgyPEIpEMJtMbF63ihxvJq2d3ZgUhclAiMlA\nEICWzh7CkSgNLe20d/dSkp9LbpYXd5oL/1SA/uERrBYLW65fxc53D1NZWoTP6+GFN3ZR39yGJEkz\nyWIkGptJeC1mMzlZXp5+6Q06evpQFGW6Ylp6pb9FgiAIgiAIgiDMMR+LhPBkWyc/+Nlv0TSNL332\nAZYtrKV3cJipQAiA440t7N5/hKSqceum62nr7CE/z8ee/UcB0DSdEydbZ/brmUwmZFlG1zQcdjur\nFi9gaGycW25Yw8TkFJNTQQaGRwmFI4TCEZx2+8zjhkbHMQyDTWtXnjNWm9WK025HVTV27D3A8gU1\nfP6Bu+juH8DryaC9uxdZlikvLmT73v0AxOIJdrxzcKY6ec+tmzEpCtWVZRw80URnbz9Do2Msqqk8\n67VWLVmIbhi401xkutN5+K7b8E8F+MmTz9LbP4QBGLpBLJ647N8TQRAEQRAEQRDmvo9FQni0sZn4\ndFJz4FgDVWUllBbmUZibTTAcwWG309jaAUBX3wAtnd00d3SxuLaKQDCMx52Ow26deT6f10NtZRnR\neJyivBze2L0PgPauXt7adxiA2qpyZFnG63Gz5frVVFeU0DcwwgtvvoVhGASCoXPGes+tm3l11zuM\njfsxKQrNnd2MTkwyNDpGmsvJuhVL2L73AK/s3MPNN6whFI5SUpiH026jo6cPWZY51tBMV98ADa0d\nM81lorE4B4834p8MUFtVhtNuZ8c7B1hQVc7w+AQv79yDxWwm1+dF13XS05zYbFayMjOoLC2+Yt8b\nQRAEQRAEQRDmro9FQnjj2lUcqWtCVTXs9tRSztLCfO65dTNH6k+SnubEbrOiqho5Xg8NhgGkllJ2\n9Q3Q1TcAEnzy1s2omsbYuJ+65jaAszp1Tp6R5OVkZXL3zRsZHpvg33/ze2RJYmF1JZqmo+k6xnli\nXb10IauXLuTdwyc41tjMysXzOXi8AYB4IkFDSzsA3f2D7Dt8gsGRUYLhMH/60D3E4gkK83I4MF3J\nTCSTbFq7kt0HjlJVWsTOdw8BEAw7MYBgKMzbB45QlJcDgKqqLKqpYsw/yXXLFrNpzQrc6WnYbdb3\nBioIgiAIgiAIwseeZBjG+XKXj6R//fkTBKf3/BXl5dA7OIwsy3z6njtobu+korSIkbEJ2rr7WFxT\nybbtuzEMg6qy4pnmLvPKS2jp6Abgtk3X0z80gjvNRWF+Ds1tXaS7nExMThGORsnMcHPoRCMAS+dX\nc+JkK7quc98dN1FdXnJBMY+MTVB3spXqilL8U0G2791PaWE+oXCEnoEhgJn4LGYzn7rzFna8e4ia\nijImJqc4Ut+Ew27DYbMx5p+kprIMh83GkfomSgvzuePG9Ryua6K4IJcqUQ0UBEEQBEEQBGHaxy4h\nPNHUwrtH6lgwr5zBkTFaO3swm0x4M9IZGptAlmWWLajmcF0TJkVh6003EApHMAyd7XsPArBxzQoy\n0tMYHB7jwPF6zCYTm9aunFk6unxhLUfqmwCoqSzFPxlEliXuv+MmNF1H0/SZpZyXYmh0nLf3H6Yw\nL4fegSHau1N7CE91O7VaLGRmpDM4MgbAf3r4k+i6gc/rQZFlwpEoDrtNzCMUBEEQBEEQBOGcPhZL\nRs+0uHYei2vnAalxEI2tnRTmZrPjnYPABGaTaaZrqKpptHR209jSgc/rYdmCagwD0lwOxiYmicRi\nACRVlcGR0ZnXsJhNWCxmEokkVaUl72nmcjm0dfXS1NrBuhVLKMzLYbKqnHePnKAwN3tmOWs8keCG\n65ZzvLGF4oI8fJmes5I/p8N+2eMSBEEQBEEQBOHj42NXITyfWDzOybYuCvOysVos7Dl4FJ83k+NN\nLQyPjgPwpUcfRNU0fvybZwAoKypAUWTSnA62XL+afUfr0XWd9auWEU8kiCeSZGakX/ZYNV3nez96\nHFXTSHc5uefWzXT1DbCkdh5pLifDY+McrW+mKD+HBfMqCIbCPP7MNiLRGA/eecvMuAlBEARBEARB\nEIT387GrEJ6PzWpl6YLqmc9v37weAHeai53vHiTN5eTZ13aSnelJjZzQdTLSXTP3A7jhuuUzl00m\n+xWrwCmyTJrLiX8qgMvp4LfPvYKqaXT1DpDmctLQ0s6yBdUsmFcBQFffIFPTDW+a27vekxAmkknM\nJpNYOioIgiAIgiAIwlmumQrhKYFgiO7+ISpLC2eG2AP84ukXGBhOLQu959YbSSQTLJhXgdl0dXLm\n7v5BXn3rHXJ8mdy2cR1vHzhKLBZn85qV/Ptvfk9SVSktzKe7fxDDMLBYzNx100aef/0t3OkuZEkm\nnkhw3+1bCITC7D5wlHnlxaS7XLy0YzdeTwafv/9OrFbLVfl6BEEQBEEQBEGY+66ZCiGAYRg8/sw2\nAqEw+Tk+Pv/AXTO3lRbmMzA8ijvNhdmsUF1eiaIoF/S87d29hCNRFlZXIsvyRcW278gJxv2TjPsn\nMXSDprZOAKrLS9hw3TLC4Rhrli/iaP1JDtc3Mb+qgrrmNpKqytjEJLduXEdnbz89A0McbTjJuH+K\n4bFxivNzARj3TzI64adwegTF5aSqGpquY7WYP/RjA8EQwXCEgtzsyx6XIAiCIAiCIAjvT3nsscce\nm+0grpShkTGeeWU7/UMjVJYUAfD2/iPouj6TuI1O+Mn1ZVFalE9tZTknmlo41tDM+OQUToedg8cb\ncDkdDI+Ns+OdgyiyTFZmxsxrdPcP8sTzr9LS2YNJMVE0nYB9WImkSltXL5kZbkoL8+jpT42bSKoq\nh+uaGB6bYMXCGkqK8jnR1Ep7dy+ZGelEolFys7MYGZugq3eAjp5+SgsLGJvwk5edxfrVyxgYGqW0\nMI+Vi+dfdMJ6PoFgiB8/8Qd2HzhKjs9LLBand2AIrycD+QOWqE4GgvzHE89ypL4JRVYu+r0TBEEQ\nBEEQBOHifKwrhHsPH6d/aIT+oREWVFXg83p4cOstNHd0oaoab+7ZD4DZbCIQCKMoMqFIFICxCT9P\nvfAaSTWVqMXjCcLRKO1dvfztFz+HfyrI4brGs5aUJjX1omNdvrCG2soyLGYTsizj83qw22wcrkuN\nt1BVlUgsTiKZxD8VACAciZGd5WUqEJxJUp0OO7dvXsfmdStJczpQFIW/+OwDFx3XB+kfGiE8/Z4d\nb2yhtbMHwzAYGZtg87pVaLqOIssca2xm5zsHKS8u5K6bNyJJEoFQmEQyCcDIxMQVi1EQBEEQBEEQ\nhHP7WCeEZYX5NLd34XLY2b5nP8PjE6xdvphbbljLgWP1M/drbOmYGUq/fGEt0ViM1UsX8swr20mq\nKjarBafDnhpE73EjSRLb3txF39AIsixz84Y1JFWVVUsWXFScmqZxuK4Jm9UyMzKjpqIMAE96Gnar\nhWgswW+efZmSwjxWL11IT/8QFcUF7D54FICivBwevW8rHnc6NqsVm9V6KW/dBSsvKaK8uJBgOMy8\nshJaOroBiMbi7Dtax469BygtyiccjhKNxWloaWfz2pU0d3TT1NpBRUkRZrOJTWtWXpV4BUEQzuen\nTz7Hn37qntkOQxAEQRCuqsu7fvAM3/jGN1i7di1bt2495+3t7e089NBDLFy4kJ/+9KdXJIbli2r5\n8uce4rP3bWV4PFWBaunsYcw/ycLqCrZu2cD9d9x01v61mspS1q5YwnOv7cRkUrhu6SLG/VMMjoxy\n0/rruH3T9Rw83oCspN46i9nEkvnzWLdiyUU3oNl3tI439+xn2/bdM4npKelpqU6ngVCIeCJBS0c3\nkiQxNDpGU3sX7jQXiqJQO6+cwrwcwtEoR+pPEovHAQiGwhw83sDYhP+iYvsgVouZT2zZwPyqcrwe\nN7dtup78bB+VZUXUnWwFoKt3gKqyYiRJoqKkEKvVwhu799E3NMLI+AT33nYjGelpVyS+izE0Ok5r\nV6rS+Z7bRsY4eLyB6PSMysvNMAwamttpau24Is9/tQ3OvF/x2Q7lPTRdT1W1u3o++M5zSDQW4+Dx\nBoamx+XMRd39gxyuayKZvPhVE1eTYRjUN7cxPjk526EIgiAIwlV3xfYQut1u7rvvPt58800eeeSR\n99xuGAZLly4lIyMDq9XK8uXLz/Esl85qtWC3WUmqKtFYgmyvh9d2vcPxphbmV5Xz8s49+CcDrF62\nkEQySSAUZnh0nO7+QWLxBC6HneGxCXTdINubyY53DtDc0Y3VauHGdavYsHo5aU7HJcU4MDxKZ28/\nAHabjUMnGrFZraS5nPT0D2KzWlEUhY6efkoK8/BPBgiGI0SiMT53/51sWrMcCQkkiZ8++SzN7V2M\njE+wsLqSXz/7MieaWmls7eC6pQuvyOiJp7e9zommVhpaOrBZLLR199LU1snyRbWMTfjJzc5iwbxy\n7rp5I6FIlPqTbaiaRjQWZ15ZCdUVpZc9pj/2zuHjPPH8q0xMBaguL2EqGMJsUt6zp3JkbIKf/+55\nGlraMSmpfY29A0PUnWzFbrfx+O+30drVw+i4n4XVlZc9zuNNLWzb/jYn27vIzHCT7c38UI/XNI1Y\nPIHZPPvF/2gsxn888SxtXT2M+ydnxqTMFfsOn+CN3ftobOmgKD93Tp2UeD/PvLydw3WN1De3sWJR\nLaar1An5Qo37p/jF0y/Q1tVLNBajqqx4tkP6QMcam3lp+266TjZSUVmJz+uZ7ZAEQRAE4aq5YkcS\nq1atoq+v77y3e71evF4vu3btuqjnV1WVoaEhcnNzL+iA6MZ1q7lx3Wqee20nkFrSeOhEI5FojEg0\nxuDwGAPDowwMj7KwuhKLxYzNYmHdiiUEQmGisTi5viwO1zfNPOeimqqLiv1Mk4Eg88qKsVutWMwm\nnn/9LXTDYGR8Al+mh87efrweNzdvWEO210OeL4v83Gze3L2P4oI8vB43Tzz/Kl19A5QU5qGqGsDM\nmXlNS32u6TrBcASb1YrVYmZoZAwkiVyf95K/hlNJpgRomg6kEv7qshKK8nL47XOv0DswxMol8zl0\nvBGA2soy7rt9C15Pxvme9rI6UteEqmnUnWxFlmWONzaTn+Nj3colvLJzL7k+L/ffcRPhaBR9ujIY\nDIeJxmI88fyrqJpGW2fvzG2nvs7L7czn7ezp49W33qEwL5s1yxbz3Os7SXM6efjuW7HbbBiGgSRJ\nTAaCTAVC5Pgy+fnvXsA/FeC2jetYvqj2isR4oXTdQNdTX8+pn8O5RD0jpoaWdl54Yxc1FaXccsPa\nWYzqg516L3XDOGcVe7bpuj4TVyyRZHTcP+cTrFO/d1IyhnqFfrcFQRAEYa6aW6eWz+Opp57iqaee\nOuu6RCJBa2sr27dvp7Cw8AOfY2B4lJe278ZqNVNSmIdJUagpL2V4bByH3U5Flotj7/YgmW34Ig6W\n1GSws7GPJ379K9bPy2d3Tz9PPtlGcVY6PredKq9B/96XLunrGvCH2HY0tTTwjqVlZGWmYU9MMR6M\nki2n09vcTyyWYNA/wosjvYwHo3Q1N/LwulqqbDEOHtxHoKuR1qFJdF2nMzDG5gVF1PeMUWsN07bz\neZzhESRJw2cz+N4//ys2i8Kq8lx2n+wDJO5YWkaR94MrI4auoyViqLEwxnQjGGQZqzuLG0p8dGTY\nKSstwZebT5Y3g67eAZ5//a2zOocamoFJUVA1jUyPm6zMiztINAwDQ1MxNA1D19A1FUPXUp+feXn6\nNj2ZZF6mjf3DA1Tkemg+dohYKEr7+BDh3lZGp8KMdLbiHGqiP6zilc3YHA66mhsIjw2jJaJouoFZ\nNnjwji30DY+ydEHNRcX+QZYtqMYwDGRJoqG1g3giQXt3HxIQjkQJR6LUNbex/2g9iUSST9y4nhff\nfJukqrJgXvlMw6G27t6rkhCOTfjZvvcAPq+HzWtXEYpEMZsUbFYrToedT911K30DwyxZUH3W43Rd\np6mtk3SX86p2l02qKq/s3EssHufmDWuwWMw4bFZ2HzxKKBzh0IlGivJy6ejtY9mCGqKxOPuP1VFT\nUYbVbOalHbvJz/Hxqbtuw2S6sLE0l9tdN2/kWGMzxQV5Z81SnSt8Xg/333ETgyNjHG9q5j+e6GDN\n8kXcuG71bId2XssX1mAYBm827mJhng/GxmY7JEEQBEG4cFlZl/Twj0RC+NBDD/HQQw+ddV1fXx9b\ntmwBIBSOsG37bhRFZuuWG7Db3ttQ5cDxekan99EtW1DD0YaTdPT086k7b6W+pZ22/iG21uTg8uWS\n4bTSPxGiYyS1n+RI9whTkdQeqEhcZeWScx/AGobBse5R4qrG8tJsLB9wwDgajM6cSe8ZC9I2PMmC\nAi9pdguDk2EyHFZCsSRZ6XYmwzHGg1HS7VYkoK53jHhSpXlggrVV+XSOTjG/wEtj3zj9/hD++m5y\n3Q46RqYACQMDMIglVAb8oVMRMxWJX1BCKMkyJpsDk+308lhD19HiUdT+Zgo0jcTxdgbqZLx2N280\ndyObLejJBMtqKojH41y/uIrFZblMBoIU53gJD/WkkjdVRVeT6FoSLRFPXU7E0bUkejKBoSbQVRUt\nmUjdV0uesfRVOutD6ss0Tn8OIElUyDKVC70gy3SZHRzvi1PqyyDdZmEkFMPrttMyqeEPx4Ao+WqC\nPn+Ynp5e1pZkoukGFcYg6pFXyDeZ8Yc6CDrSMDvSMDvdmOwOFIsV2WJDsdpRzFakixjxIcsyKxfP\nB1LdbweGRynIzWbl4gX0DA7jsNlQVZ1gKAxAfUs7STVVDdYNg0XVlQyNjbN2+eIP/doX4+39R2jv\n7qO9uw9Fltl76Dg2q4U/efBuPO508rJ9BEMRkskk3f2DvP72u+T6snCnudgz3RDpTx68m7zsS/tD\ndqFOtnVS39wGQJrTQXf/EKFIhNLCfKYCIcqLC3jhjbfQdJ2uvgFkScY/FaCrd4Ci/BxUTaNnYGhm\nKfRsCEeijE5MkuZyUlKQNysxfJB55SVkZWaw99AxAPoGR2Y5ovcnSRIOuw1iYaRkEq5SUy5BEARB\nmAs+EgnhBznW0MzhukYmJgOMT0zywNZb2HvoGAW52SxfWENLRzeZ7nQkSSLN6UCWU9mCYRgcrm+i\npaMbNR7F5EwwLxueO9SGSZZw2syEYyrzcj0UetLoHQ+ysjw12L1tyE80qVGV6+b1Ez1MhGPMy8ug\nrid1ZlmWYHXF+x+s1eRlMh6MYhgwHAgzMhWhecBPVa6b1qFUMrqyPIcDbUNIEqyuyOVI1whPvHuS\nkqx0piIJSrLSWFjoRQIC0QTBWKp6F0uoKNMJiSzB4sIskqpOmt3C9fPysJlNyJJETf6H26N2JkmW\nMdmdmOzOmesMXUOKRHATY8w/CUaQva1NGIBnvJWCdBtmYLD91JMAugGylEqgZBlJkpFkBUlOfUSW\nkUxmzBbr6esuQXU6VJcUAKmltL1TMYKxJE6LwmQ0TrrdSnFuJoOhJDaLierKUhwW8+mvUdPQ1QSJ\nwASxiWH0ZGI6CZ3OQg0DkDDZHan3x+nG7EjD4kxHttpQLFaU6cRRNpnPEWHKopqqs5Ylb1i1jO17\nD1Df3IrP6yGZVLlh9XLyc3yMT0xyw5oVuNNcl/TefFj5OT5Otndht1mZmAoCEIsnGBodx+NO5/nX\n36Ktqweb1UKuL4vRcT+j4/6z9pXFE4mrFm9OlheTyYSqqsiSzMTkFJBqDlVTWYYiyzjsdoLhMG6X\nC5fTgX8qgM/rYcWi+YyM+cnP8c3qEshX3trL4MgYJ9s6qSwpwnWJe5ivlMwMNxtWL6O7f4hNa1bM\ndjjv63hjCy/v3EOXnkZTdx+1c2y/qyAIgiBcSR+LhLAwP4epYAgwGBgZ5ZWde+gZGKK+uY3RCT9H\npmf53XvbFuqaW4lEYyyunYeqqvi8Hlo7e5AlCbfNTH3fGMNTqerLxprUUlSn1Ux2uoP6vjG2N/Sw\nvDSHPc2p/ZFDk2EGJ1MVt0F/mFSGY+C0nv9A/xSrWeHGBakD4x0NPYxMRbCaFawzeyIlQrEkYGAY\nMBqIzuxvMckS6XYzU5EE9X3jvNs6AEB1fiZ5GU6cFhP9/jCFmWmsqsglO91BUVb6zGuvry64hHf8\n/CRZweRw4sv0oFhjZHpc9EdGAQibXNh9vivyuher3x+arqJCRU4G96ysJMNhw2pWKM1yY7coWP+o\nQYukKCiKHcVqP+/zGoaBoaYqnslIH+FkEkNTz0oaDcNANpkxO9MwXUC1samtE4CxiUm+8On78Xrc\nAGRnXXxSf6nWLF9MeXEhToedeCJBOBxBlmX2HDzKkbomYtPJXiKpUlaUT1ffAB53OrfesJbsrEzc\nLhelhflXLd7srEz+8tEHSaoqVouZ/uFRQpEIsiRzsi11lmL9qqVkZ2VSWpiP2WzmumWL8HrcWMxm\n5leVX7VYzyfLk8HgyBhpTgdWi2W2w3lfG1YvZ8NsB3EBTlXZJTUxsw9bEARBEK4VVywh/OpXv8qB\nAwfw+/3ccMMN/NVf/RXq9H+6Dz/8MKOjo9x3332EQiFkWeaXv/wlL7/8Mi7Xh69wlBbm8+AnbmH/\nsToW1VRhtVjoGRjCbrPOvCbAiZOttE23mF+xqJYTTS3QCpvWrKChvoE321qoKMhGkiQsJoXJSJzj\nPalkpjLHQySeqr6dSgABMhxWfOkO/OEYK8pysFtMxFWNYm86H8bG2kLKs914XXYcVhPeNDu94wEC\n0QSF3jRsJoWKnAwMDGJJDZvZRCCaOtgeDURmnicrzc7CwiyeOdDCWDA1MH7T/KIP/Z5eiv6JEC1D\nqeW5boeVgsw0TLJEbcHsJS7nk3q/zUTiKroOr57ooszn5oaaQjKcF79sTJIkJLMF2WwBnOe9n6Fp\n6FryA6uNis1OuawxGg+SkZ7Gthe3UVqYx+rFtcgWK7LJgmKxIimmK9JJ9v2cSkidDjufufcTbN+z\nn/3Tcz43XLec4vxcyooKqCwtYsn8aqwWM4qisPG62akaOR2nE/k7Nl/PobpGnA5H6nsGlBTkU1J4\nurp/tZazXqg7tmxgUW0VvkzPnOgm+3GwfFEthmGwZ9v/Isc1t5NsQRAEQbjcrtjRxPe///33vd3n\n8/H2229ftte7acN13LThOiDVsGJeeTHeDDcWixm7zYY7zUWa00FbVw+KomAxn67gxeIJBsdTCYw/\nHGNenoeJUIxw4nQyme22MxwIIyGxqjyX8uwMYkmVmrxMVlVceFOMEz2j7G8bpDgrncocN+n2VEKp\nyDKlPvfM/bLS7Oxq6gUgN8NJbyBK2/AkS4p9LC/NoGNkCotJQZElqvI8VOV6SGo6w1MRnj/cht2S\n+tam261Yz7GXccAfYndzP1lpdjbXFs0so70cMl02bGYTsaSGbhj0TwQxKTLhePID91VebU6rmYfX\n1pDUdJ471EYsodLUP87qilxsV+FgO1VtVFAs528OcqraWGJKUrQgi+eP9dAVjNHS0ox7tAWXzQQG\nGBjIsoJitaHYnKk9n9NLek02J/J0giqbLShma+ry+yxZvVgVpUUcrmvCbDbR0zfIyPgEub5UUuWw\nz60mKC+8uYuxiUlkWeZPHrwbm9Uy58dPKLJ8Vauq1wJFllm9dCGd4W4aX3uS7D/7+myHJAiCIAhX\nzcfy9LIsy5QVnV4SufG6FRw6kRqO/cXPPIBJkXE67MiKTHfvIDarhQXlRTQeH6ckK50T01VBq0lh\nZXkuVpMsgaXVAAAgAElEQVRCdrqDeas8M8sH3Y6Lqx419U+gGwZHu0ZoH/ZjVhRuWVzCwY5hbCaF\nLQuLaeyfIJZIYjWbiCdV0m0WhiZTy1iHpiLU942j6ToV2RlYzQqvHOvEl+5gfXUBb9Z3A1CQ6eK+\n1fOIJZK8fKyTHLeDytwMdjT04rSa0HSDyXCMyXCMhYVectznr2J9WC6bhU+trSGhaRztSjWTUDWd\nqUgcj3NuJQQAsaRKQ984mS4bgWhqX+a5kujZcma1UdXsZHk9TCT8uGwWMvIKMCunm9cYuo6hqehq\ngvhkmOj4IIaa6rx6VgOesxJIO8p0w6DLkUCWFubzn//Tp5kMhPjJE38A4NCJBhbVXP65jZfKneZi\nbGISu83K0fomFEVh89pVovJ2jZqwZWPseALjT//uoppCCR99Q8PDfOu736W9sxNd19m0YQN/99d/\nzbZXX6W+sZFvfu1rVy2WX/z2tzx0770z3YT/7Ctf4Xvf/jbpaXP7pJUgCB8918RRz/5jdezadxiA\nW25Yw74jdRjA9SuW0Dc0TN/QMMsrC6n0OomrGnaLiWhCpTAzjSUlPnaf7GNvSz8um4UH11SfdQD+\nYS0o9LK/fRCPy4ah6+iGQVP/BOPTyzv3tgzQPpxqKLOoKIvRYJRoUmVpiY/RQJQibxoj00tEVV1n\ndCL1uNFABIsi47SaCceT5HtceJxWXmkdYHAyxOBkiIlwjIlQlIkQVOZkABJuh+WKJGmBaJztDT2Y\nZJnirHTcdivFWR9uGe3V8vbJPnrHg0iSxCNra0hzzM0lY6FYgj8cbCOaSLKyPIeFhb73/Cymmu6c\nWqr6wT5MAgkGkqyg2BwoVnuqaY7NicnuwmRzTC9dNSObLfQOT9A3OkF+jo+B4dHLMrPzSrj3ti10\n9vbTPzzKu4ePA+Bxp7NqyYJZjuyDdfT0ocjKWctbhUszWb2ZzONPMXhoO/mrb57tcISrzDAMvvy3\nf8vD99/P///976NpGv/t29/mn3/4Q6rKL23/sKZpKMqHO9H4+BNPcNcdd8wkhP/xL/9ySTEIgiCc\nzzWREJrO+CPcPzRKYLplf8/A0Mz1g2N+2oaDKJYEy0tzyHE7ONQ5zOBkiPD03sFQLEE8qWJWLj5h\nWFiUxcKiLKIJlWPdI2Q4rKTZLfRNhDCbZAo8rpmEMBxXZyqDdouJ4UCEfn+IiuwMJAmCsQQZDgtW\ns4I3zcZzh9vRdYONtYUc6RrhcOcIRZmpPZkum4XKnAz6xoPYLCauq8xjfXUBJkWe6UZ6OTUNTMyM\n6lhWmk1FztUZQH8xzNM/H4osEUoksFtNmC4h6b9SxoJRoonUz2IwlsRqvvQq5sUnkHHi/jBRbTqB\n1LSZfY/hpMrvTwyiGwbFHicPLyxGGWuif3c7stk6/c+MbJ7utmq2IJlMSIoJWVFS+yBlZfrz1PWn\nbrvcuvoHeOfwcdJcpyvkmRnu93nE3FB3so0X39wFwANbb6aqtPgDHiFciJLN9xJp2EbjMz8UCeEs\n23noGDsOHL2sz3nj6mVsXrn0vLfvO3gQq9XKfXfdBYCiKPxfX/0qW+6+m6988YsMDg/zp3/1V/T1\n93Pnbbfx5T//cwCef/llfvXkkyRVlSULFvDfv/51FEVh2YYNfP7Tn2bPu++yacMGWtra+H+/8x0A\n9h86xM9/8xv+/Z//mf/+T/9EXWMj8XicW7ds4Stf+AKPP/kkI6OjfO4LXyAjI4Nf/ehH3Hjnnfz+\nV78iMyODn//61zzzwgsA3H/PPXz+kUfoGxjgz77yFVYsXcrREyfI8fn44fe+h81m4/Enn+TJZ55B\nURQqy8r453/6p8v63gqC8NF2TSSEq5cuxGG3Y7NZ8GZk0Dc0jKamztbNryqnpDAPczxI28lUN1Jv\nmp2uscBMs5blpTk4rGYKPC5ctstTPbJbTKytOr0P6HM3zEeWJBRZJsNpI6Gmxkb0jAfQ9FTX0lMd\nRpXp/XjDU6n4Hriumu6xAPFkas9j91iQ4HTDGZvZxINrqnFazVhMCqW+9JnXuZLKfG5aBv0zFSx9\netj6XLRpfiFF3jQ6RiZ54XA73jQ7966qmnPxFmamUepzE4gmiCZU3qzv5vp5BTP7Ra+GC0kgjXgS\nk3USTdeRLHaaRsPkpWtkOjSMaCg1e1LXMTQtVYnUT82NlM6eH2n80QVJTiWSJgvKdEIpTy9lVSyp\ny6eWtkqKcnaC+UfJpSQryIrCjr0HGfdPwvAoj9x9O3ablRyf98q8eZcgHInS1NZJSUEePq+HcDR6\n1m3C5XH9dSv50W8W4qh7h2BfO2mFYvzEtaS1o4MFNTVnXedyucjLyUHTNOoaGnjxqaew22zc/+ij\nbFy/HofdzitvvMETP/sZZpOJx77zHV585RXu2bqVSDRKVUUFf/3FL6KqKjfdfTeRaBSH3c7Lb7zB\n7TenTjr8ly99iQy3G03T+Pxf/AUnW1t59FOf4he/+Q2//NGPyMw4+4RqfVMTf3jxRX73y19iGAYP\nfv7zrF6+nPT0dLp7e/n+t7/N//33f89ff/3rvLZjB3ffcQc//sUv2PHCC1gsFgLB4FV7TwVB+Gi4\nJhJCSZLO2r/0l48+xFvvHuKd6SVitVXl+NIt3FmbTdzmpnN0Cmn6cVazQk1+Jmn2K7uM0HxG9cOX\nZucPB1vxh2MsLckmw2llZCpCdZ5nurOogcWUSrQcVjNOq5kSXxonByYwKTKrynKIqxqhWILagsyz\nloSar0CV5VyKvGl8dn0tT+9v4c36bqrzMq96t9MLZVYU5uV5ONad2u84HoySVLX3jJuYbSZF5tbF\npTQPTvBWY6rhUJrdwnUfMO/yanNYzdy1vIKRQITmwQn2dYxgMSl8dv38S1pubeg6hqFj6Bq6rqNH\nwxjhwPR150gw/zihP0eC6ZwM0DsawuO08cyTTxBRdT5x3SIqSotRbPbT4z/MqY9Xokp5IZ59dQc9\nA0NYLRYevvs2hkfHKS1MdUOdq8tx/9jJ9k56+odYvXThnG3cU1KYhzZvHcboAbrfeoaFn/m72Q7p\nmrV55dL3reZdCYZhnLNLc6rXM6y77jo808nZzTfeyOFjxzApCvVNTdz/6KMAxGIxvJ7UnFJFUbj1\nxhsBMJlMbFi3jp1vv82tW7awa88e/vYrXwHglTfe4HfPPouqaYyOjdHe0UFN1fl/rw8fO8ZNmzfj\nsKc6Jt+8eTOHjh3jxhtuoDA/n9rqagAW1NTQPzA9kqqqiv/z7/+eLZs2cdOmTZf8XgmC8PEyt454\nr6Izux02NLdT39hIphrA7NDo96fGSnxyZSUel/10lUs3UHX9infKDMYS+MMxIDUn70TvGLquk+my\no2o6g5NhTIrMJ1dVkWY1o+o62450EE1obKwtJDPNzl3LZ//MtqYbM8ttJ6a/nrnojbpuOkamKM5K\nw2Y2UeZzz7lkEFIHKy1DfibDcWRJQjdSJw/mIpvFhN1iSk3NgJmPl0KSZSRkUC7P98bQdW5wZ7K4\nNMZYIMyOkwNgwIn6etKDfWDoIE0nsNN7KGWzNbV3cnpupMmehtnhnK5S2pAtqWWwl7t7q6qlZuNp\nus4rO/cyPDYOwN23bLri1f4PQ9N13ty9n6lgkJs3rKGtq5eegSGWzp/HH17ZAaTmaD5yz+2zHOn5\nrb1uHd1Hf4ft9SeZ//DfzNpJAOHqqyov5/UdO866LhQKMTQ8nFpt8EfJoiRJGIbBJ7du5W++/OX3\nPJ/VYjlr3+AdN9/Mb55+GrfbzaL583E5nfT29/OzX/+a3z/+OO70dL7+2GPEp+e3no/xPn9Qz+yg\nrigK8Xhq68aPf/ADDh49yo5du/jhT37CS7/7HSbT3Pt/ThCE2XHN/TWYDARpbu+ivLiA++64CYfN\nyks79gAwGIxTM31mz2o2ke6wEk2ojMYSZKXZefZQG5PhODfUFFBbcOWWlWU4rMwv8DI4GWZFWTa7\nmvqJJnTsFhMJVYMomBWZ3Sf7GA/FmF+QSXR6REa/P0RN/uzP++saDZBQNdZXF9A3EWJZafZsh3RO\nSU2jYyS1Z3M8GOUz6+fPckTn1zzonxlFsroil1Kfe052bU1qGs8ebCWWVMn3uFhZnkuRN23O7cuU\nZJm+iRhv1nfjsprxZaQRTagsrCjGnnHurru6pmKoZ8yNVJMYmoZ0KnGUAMNAkk0ziaPJ4cI8nUCm\nEkbrzP5J2Wy5oLmR99y6meNNLZQXFXC4ronhsXGcdvuc64ba0dPH4bpGIHWw3NqZmvsaCIawWMwk\nEkkcjrn3M3vK448/zl03bOQx7yJye1+l/52XKNpw12yHJVwla1ev5n/927/x3LZt3LN1K5qm8Z0f\n/IBPbt2K3WZj7/79TE5NYbNaefOtt/h/vvlN7DYbX/qbv+HzjzyCNzOTyakpwpEIBXnvXbmxesUK\n/us//iO/e/ZZbr/lFgDC4TB2u500l4ux8XHefucdVq9IzWh1OhyEw+H3LBldtXw5X3/sMf7885/H\nMAze3LmT//EP/3Der0vXdQaHh1mzciUrli5l22uvEYlGRbdSQRBmzK2jiavg6W1vMDrh590jNu67\nfQuH65ooyssmFgpgUq0UZrqoys3A47SRVHWe3t+MqulU5mQwOV3l6hyduqIJoSRJbKgpnPn8kyvt\ndIxM0jEyhdWssL66AIfVzOsnugCYCMeZl5fJVCTO0hLfFYvrQvWMB3jtRCcAa6vyuXVx6ewG9D7M\nisL8Ai/tI1Nkpdl57UQXi4uyyPO4Zju09xVLanSOpmZROq2Xf5bgpVA1g7iqTV/Wqc7zzLkYT2kd\n8qNqOpOROLctKSXH7Xzf+ZOyYgLFhGJ9/8qsoWvoapJkJEA8MI6hJjFUDWRpulw6/VGSMDlc08lj\nOma7C5MzDdNMtTG1VNXtcrLxutRBYl62jwXzKsjJyjyrGjAXZHkyZhK/4vxcBkfGCIUj5Of4uOvm\nTQyNjjGvvGS2wzyvn/3sZzx6xx2U33AngWcOcuiH38BTuRhXXulshyZcBZIk8f/9z//Jt777XX74\n05+i6zobr7+er/7lX7LttddYsXQpf/fNb9Ld28udt93GovmpE4j/+S/+gv/jy19G13XMJhPf/NrX\nzpkQKorCpvXreXbbNr77rW8BUDNvHvOrq/nEgw9SVFDA8iVLZu7/4Cc/yZ995Sv4srL41Y9+NHP9\ngpoa7t26lQeml6nef889zK+poW96eegf03Sdv/1v/41QKIRhGHz+kUdEMigIwlkk4/3WHsxhfX19\nbNmyhe3bt1NYWPjBD5j2o9/8nnH/FHabFavFwmQgiCxJfGLtIp78wzYUi5U1lflU5LgZDUR5va4L\ngPJsN5IkMRaMsqG6kILMq5sw7G3pp753DIANNYVomkHL0ASRhMqG6kJKfXNnpEPn6NRMsrqwKItc\nt5PirPRL2j92pSU1jZ+91QAYuB1WPrW25gMfc7UZhkHzoJ+kprOvdQDdMMjzuObE8uA/1jkyRd9E\nkNFghNFAlKpcDzcumHudMPsmgmxv6MFltRBPqgRjSTbUFDD/Cp7wOdPprq1JdDWBrqYqkKdJIBlg\nSMgWK2aHa6biaLKnMRyI0DE4xvzKEnJ8vtTYD5MZ6dTHWWiMFI5EicZiZGV6CEeiTExOUZiXMyux\nfJCT7Z2YFBOVpan9zZs2beJH3/8BT+18h8aGeu7u/QMOu5Xr/+vPyZq/apajFQRBEITzuMSTPNdc\nhfCBT9xCU1sHlaVF7Np3mMlAkLQ0J7H46YOw4UCY/e2DSJJEdZ4H3YBVFbmkXaYOoxejwOOioW8c\nsyLTOuRnaDKMIst8+vraq9pl8kKU+dxsrC0iHE9yomeU+t4xyrLd3LKodOY+0YRKMJog2+2YvUCn\nGYaBPxTDZTMTiiXIdM3NJW0JVWMsGMWkyMiyhK7N3c6tZdluSn3p/HhHHQA943Ozq11hZhqf27CA\noakwzx9qA6B7LHDVEsKzu7aee5kqpH5GTyWOsYkR+ru7cMg6T58YJKHpHD98iPsX5830y0k1x2B6\naep0YxyrLTXmw+ZAMdsw2ezTyaPpdCKpmE9fvsi9iU6HHafjdAVVnz7n+Oae/TS3d7Fh9TIW1867\nqOe+nI41NvPy9HaBe2/fQjAUxuxI5/DJdkyKgjnNw/6aT3Hz8Bvs/PonWfHl/0H5LY/MctSCIAiC\ncPnNrUziKsjMSOf66c5ln7ztRlo7e3jj7X28+s5RSj128nJzSGpa6gDMMMhKd7CwMGuWo4ZSn5vP\nrK9FkWS2N6T25eiGwaA/xO6WfpxWM1uXlb/vcrcrbTQQ4XjPKEXeNGryU/saD3cOAxCJpxLAyUgc\nb5qNp/e3EEuoLC3NnvUumbtO9tE8MIHLZuaOpWXkz9Hloke6RmjoS1WJV5Xnoigy83I9sxzVuR3v\nGaV1yE9xVhqhWJJFRbP/O3Q+fRNBWof85LqdxFWNJcWzv+z6j0mSNFP129Ptp6FvjHS7BavDiRZP\nYnfZsWed/j0Kx5OYFRlFMjA0DV2No8Ujqcv69NxIXT/17NN7H089OnVBNplTieSpZNJqT/2z2DFZ\nbdPxmM6oSFrOSiZj8Tg/efJZwpEoC6srqW9OJdx7Dx2fEwlhInH6JGB9cxstHd1YM3y4HHZkWaam\ntJjDTS34vvRvRJ75Lgd/8F+Y7Ghg6Z/9g2g0IwiCIHysXHMJ4ZnMJhN2m5VwNIqBgaYbDE+Fiaka\neR4XdrNpThxwT0Xi7G3px+2wsrYqn021hTT0j5PrdtIxMkUsoRJLqAz4Q5Rnz94A+N3N/YwGIrQP\np/a2NfWPU57txmpSqMr18PsDLSRUjVKfm9h0E5zx4OzPUBuZnucYiiXJSnPMqa6NZzo1+kSSJAzA\naTVjuwzD6S83TdfZ1zoIGETiKo9umLuNegzD4LUTXaiajsNq5rNzrKmQPxyjZzxIRbZ7Zgbq0FQY\ngEA0wT0rK5kIxSjJOr1kvKFvnD3NfbhsFu5bXYXNYgWsH/q1TyWPupZEC8YwpsZSoz2m/w2H4gwG\n41T5nDhPrVKYrgZKiomwYWKspxtJVuhvjpKlmOifCJDvczBWvw9JNoEkIZtMSJKSqpaaTKkGPZI0\nXaFMfUxdl6qoIsmp5aenPs7cfuZ9pXM/zxm/2ysW1aJqGiZFwWRSaOnoBqCqMI87b1yPqml88ds/\n4MX9dXzrH5/g+E+/RctzP0aLR1n5le/NySWwgiAIgnAxrlhC+I1vfIO33noLr9fLtm3b3nO7YRh8\n+9vfZteuXdhsNr7zne+wYMGCKxXOeRXn51JTUcpgfx+uSJSWsQAAy8tyWFWee9XjOZfDncP0jgfp\nHQ9S7E2nyJuGx2Flb0s/GXbrTGORvIzZrWxlOKyMBiI4rCYOtg3hj6Sa8Dy6YQHRRDLVIZXUOIpV\nFbmMTEVYXTH77/H66gKOdo0gSakRFIuKsijLds92WO+xsDALj8PG0FSYQx1DAKi1RXOiq+yZFFkm\n3+NkwB8i02WlsX+ciuwMrHMweZUkCafVzFQkjmuONb7RDYMXjrQTS6i0DvlZV5VPx8gU1XmZdJqm\nyE6zc3LAT6bTiqobPHeoDYtJnhnxEYol8Ifj5GVc3J95SVFSLfPP8bbEkxpvNjSi6TqjqpnN83OY\nisYp8LhSJyx0DYumsbYim0F/mKX5Tjx2E8lCB2YlSXPdcUZCMaq8TuwmGQMjlUwaBhhgcOY8uDMq\nmGdWMt/vOpjee3n6LiBNP688nRwq5MnKdJIpcZ0XXu05iXuoiZFQL7LFzq0Ly3jynToOHzrI/Hu+\ngKEbtL7wH1jdXhY8/DepyqioFgqCIAgfcVcsIbz33nv5zGc+w9e+9rVz3v7222/T1dXF66+/zvHj\nx3nsscd4+umnr1Q456UoCk6Hg/GpIJKWxKTI6LpB3nnazs+GHLeD1iE/ZkVmJBDBwOBQ5zBTkThT\nkTiPblgwJ/YRbqwtZF6eh0yXjQPtqYTQZbPw4tF2psJxKnIykCWJFWU5uB0fvmJxpeR7XOS4Hfxk\nZz1gMBWNz8mEEKAg00UofnpGlTqz7G9u+cTScibCUZ471Eb/RIje8eCc7TZ794pKWgYnONo9wq/2\nNHLnsgoynHPj51PXU9mNphu8eryLpKbhsln49PW1bK/voW3YD8DgVJjh6crh4iIfsaSG12Uj5wrt\n0ZWk1L9UbDpPH2ghqWosLcnG7bAy4E+NmllSXsCpnoljwSiDoRD5mS7eaOtHNwzGkwq3Lym7IjGe\nj6HrQGpLwP62IZqH/Cwu9LKkKJNEaBI1GiaRjGJoKkssSV62KPz21bf40oo80gsqyZy3jJO//zfM\nNicWVwaSpKBYU3s1FYsd2WrHZLUiWxynl9aazchKaomtpJiRzRZkxXTR+zQFQRAE4XK6YlnEqlWr\n6OvrO+/t27dv55577kGSJJYuXUogEGBkZITs7Ks/r+5EUwuQmkO4aXEFo4HonGossqAwi3yPi/re\nsenKkER5tpupSJzcDOecWTaoyDKFmakuRxtrCpmf7yWaSPLqdMdRVdO57Sof/F0oRZbJTrczEohc\nsYPoy0HVdPzhGLkZTsqy3Fet+cmHJcsSDqt5plqV1OZm4gpgt5jQDIN4UgM0uscCZDhnfx+hLEnc\nubyC7rEAlTkZvHSsg2RUw2KSqe8bO1X2QpFlSrzpdI8GMCkyNQWZrJ2Xf0Vjs5gU7l5RyaA/hMdp\n5aVjqTEzI4EIx7pHAYNQLEmpL50Bf4glxT5ePt6JqumpRlJSauzGbCy6PJWEGYbBib5xAE70+1lQ\nnIOkmDA5XDB9gs0KbF0s8dtDHRwLSFxfnkPFbZ/m4L8ew99eR+mWBzB0DUPT0XUNLRLACE6cXlqr\n69Pfp/Pt07TMNP0xWe0oVtv0ZQey5dSeTBOyYjmr+Y9smlvVbEEQBOGjbdbKSsPDw+Tmnl4umJub\ny/Dw8DkTwqeeeoqnnnrqrOsSicR77vdhjE342XPwGMUFeaxZvoh9+w9RnOlgV1M/YBBNqmd1xZxt\nHqftjMHeBgsKvayvLsBmVubkXpaRQIRXjndhMclkux0Eo0nmF87N5EXXDV6r62I8FGNFWQ7LS3Nm\nO6Tzqusd43j3KADVeZlztsto30SQI50jlGdnkGY3z9nE9ZRyXwYnByaQJYkct4OTAxMUZLpmtbMw\nQFaanay0VMfOu1dUMuAP0dQ/zt7mfhRZ4qaFJXhddjKcVkp86ciShMV0dU4QnRnb2qp8hqfCVOVm\nMBGKEUuqmE0y77am5qJFE+rMyQFFkrlzeTnDUxGq867uHu3+iRBWs0JWmh1ZkqjM8dA27CfH7eBX\nexrJKFvIWDhO1hkrLtaW+tjbPszTR7sodDso8fpwF1cz2dUEgCQrSLKCfK61te/DMIzpsSOppj/x\nU01/NBVD10A3pkuxvCeRRJJRzFYUqzVVfTRZU81/LBZkiz3VXdZsRlL+N3vnHR5Hee7te2a296Jq\ndVmybMm9AbbBxnRM6C1ACic5hBQSTvKFJJyTSiAVcjhJTkJOAiFACIRQQkkcusE22AZXLFu2ZfW+\nWml7m5nvj1mtJGxjO1jSEva+Ll27O23fXe3uvL95nuf36LSopKhDkCRNTErackHKznPHVDNr6VJm\n1NQgp1JUV1Xxo+9+F7Pp2C8Q//6Pf+SqSy/N7PPvX/wid95++xH7/v38nnuwWCx86mMfO6bjP/70\n0/z47rspTM+V6mpq+PH3vsfdv/41SxYsYNlJJ/GxG27glptvZk59Pb++915u/Ld/O+bxHw8dXV3c\nePPNPPPooxNy/Bw5ckweUyYID9f+8Egnp6uuuoqrrrpq3LKRPoT/LGtf3UhrZze79zVz0VkrcTms\nMDiEJArIiopxkiZVx8Pi6iLMBh0DwShPv91MscvKmgVVSFl4Uj/QO0w8mSKehAUVBVTkO7AYsvOq\n9nA0Tlu6drRjMMTiLKkdPRxjG7xna7N3gA1NXfjDozWk2ZDS/F64rEauWTYLgMfebMIXimZSM7MF\nq1FPbZGbPV2DAKgIlHhsGWdhk16HPEUpxNUFTt5u6aO5b5gl1UXkOczk2y08tqmJSDxJvsPCKbXT\n6PSHmFnswWrSU+Sc3LT83Z0+XtvTAQicN78y8z5et6KePV2DtA0EEESJ7mAUj8vCuv09DEeTLCj1\nYEl/fn/52h5uPWcetmlVdG16HkVOIUr/ZI2mICBIEkgScHwXHlRFSf/JyIk4qWgkHamUtVtFSddO\nChwahk0XViIg6vVIeiOi3pC+1USmoDeiM5jTYlOviUdRN+oqK+nSYnNqel1OJCajkaf++EcAvvJf\n/8WfHnuM66+77pj2lWWZPzz8MBeef35GEP7f//zPCR/j+WedxbfeVY7zpRtvPOy299x333ELQlmW\ntfrhHDlyfGiYsllaUVERPT09mcc9PT2Tmi7qcTlo7ezGYjaxeUcj3QN+4v4wZy+YQYc/SF8gytaW\nPhZUTn4K65HQSyLzKwp4cst+QKV7KEQwmsyaeqex1BS5ONA3hFEnsaN9gHV7OrKixcThcJgNlHrs\ndA+FMRt0/GVTE/UlXmZlYVRrRrGbREpmb/cggej7i5JPJEUuK/5wDLvZgD8cw6S3ZvXE0ReK8mpj\nB3aTgVhSc8BNpOR0P7+pHXdKVni1sYNYMsVps0o5bWYJuzsGqch3MBCM0u4LUl/iZVtrH3u6BplV\n4uW0maWTOsbBcIx4+n0bisRZWKVF2S9fOoPhSJxCp4WD/QFiyRSyOjWiNRgb+b6oNHYM0jIwDECB\nw0JdsZvOwRCpWARZVjg4EGRPr7Ze1yVoabkeG62DIX720jt8vKgUVU4R6m7BUVoz6a9l1DH1nz+F\nZyKUihaVlJPxUUEpy6iqko5SQkZVjolWqmgpv6KkS/e71Pppave11FdRZ0RnNGrusemaSc1RVkKQ\nNGMfrZZSSotOKZPSe/DFRzn4j4ffx7t0KFVnf5SqM6485u0Xz5/P3v1au5TPfeUr9PT2Ek8k+PjV\nV7qJxQQAACAASURBVHPVpZcCsODUU/nktdfy+saNrFyxgr7+fj7xmc/gcrl44J57WP2Rj/DYAw/g\ncbl48pln+N2DD2o9jmtq+Mltt417vraODr77ox/h9/sxmUzc9l//xfTKymMa69e/8x1WrVjBuWee\nmVn205//nFg8zkXXXENNdTV3fv/7PPXcczzwpz+RTKWY19DAt7/+dSRJGvc6vvYf/4HJaOSHP/sZ\nkUgEt8vFD77zHQry8tjV2Mit3/seZpOJhfPnH/N7mSNHjuxmygTh6tWrefDBB1mzZg3bt2/HbrdP\nqiA8Z+UyZtZUkedxs/2dvbS1tWIzSExzW9nc3EMgGmdTKEp9iTdr3BFfbeygdSBAqcfGcDTONJcN\nh2VqU9qORIHDwsdW1BOOJ3nw9d0AtA0Es1IQJlIKpR47i6oKeWZrM7KisGFfV1YKQoD9vUMMBKO8\nvreDijx7ph1BNnFqXQl1xW7Wbm/h6bcPUF/i5dRJFimHIykrvLang3hK5rS6UiRJIJGS2dE2QH8g\nQn8gwkk104gmklQVOKdcDAI09w1nzGO2NPfSORgkkkjhtpl4bW8niqLQPRTOtHDZ1+OfdEFY6rYz\nc5qXoUiMYCzBXzbtY1V9KR2+EF1DIRpKvDy/sxVQGQzF+MjC6ZM6PoD55QWkZAWTXkex00KbT8sK\nGAzFeHWwg8XVBfxVb+CNdh/5DjNmvY5oUqY6386cEjcDoTh2k47fbdjHfS1wjqSn7dUnqb/65n86\nSjiVjItQvo9kg5FaSVWRtUhlOIiiyJnaStQx/S4Ze1fItClBUFHVUTdYUdLh2/c28aH+dAsRARhp\nIyIAY9uKaI81lyMhbXYkpPdj3DpVPvaLPKlUinUbNnDqsmUA3PGtb+FyOonFYlz+8Y9z9urVuF0u\nItEotdOnZyJ0j//1r9x/zz14XONbQO07cIBf3XsvD997Lx6Xi6Hh4UOe85u33853v/ENKsvL2b5r\nF9/94Q/5w69/fch2zz3/PG9t3w7Ax6++mssuvPCwr+H/3XQTDz36aCbieeDgQf72/PM8fO+96HU6\nvvPDH/L03/7GxRdcMO51JFMpPnbDDfzvnXficbt57h//4Ge//CU/+Pa3+cZ3v8s3v/pVli5axI/u\nvvuo72OOHDk+GEzYWezLX/4ymzZtwu/3c9ppp3HTTTeRSmlXkD/60Y+ycuVKXn31Vc466yzMZjN3\n3HHHRA3lsIiiSFVZCQArli7AKaV47KlneXjjHoqcFgLROAUOCwbdqAtcMJqgsctHqcc+6c3LI/Ek\ne7o0A4T+YJRPnDr5LTqOl3Asyc6OAUrcNsKJFIursrM279XGdloHAoiiSJHTQpc/RInbRn8gwlAk\nTnWBM6t6E7qtRnqHw1iM+qy5WPFuBEEzlYmmo0a+UGyKR6TR3DfEvh5NXG029NDSHyCeTFFb5AYE\nzAaJmgInrb4AvUMR8u3mKf/f5zvM6CSRlKxi0EmE41pD9c7BEHpJJK4oGHQSCyoLeKfTx+zSvEkf\noygKrJxVSutAgL9v1wxmNu3vyYiuaDyFQSeSSMlTlj5s1Essn1GSeXzN8lkEo3GeeusAALGkDMLo\n//qji6pIyEqmHUl5+jf/P1Y38LuN+9iSfwqLD6xj+/0/oPb8j2MrqpjEV5M9CJIW3XtfqnIMqqqC\nolC08HQK569M11MqqGo6TVZVtMeKokU5VZl0cuyo9e2YNiSqqqbXqqiJOM3P3q+1HtHpEHWGUedX\nnQ5R0hOLxVhzyUUIgsC8mTM4c3Ytw61N/PbRx3nlzc0gCHT39tG0ayvz6huQRJHTlywgGQ6AIKKq\nKkoygSLL41xk39i8mXPPOCMjFF3O8U7W4UiErTt28KWvfz2z7EheCYdLGT0WNm7axK7GRi7/+McB\niMVieN1aHa8kSZyzejUAB1taaDpwgOs//3kAFFkmPy+PYChEMBhk6aJFAFx0/vm8tn79cY8jR44c\n2ceEnZnvuuuu91wvCALf/va3J+rp35PWjm56B3zMmzUDg0FPJBpjKBgmpaioskKh08r8ikLyHSYE\nQaAvEMFq1PPiO230DofZ0TbAx1bUT+pk3GzQUeqx0zEYxGkx8McNjRS7bKyaVZoVUYzDsW5vR7o2\nT+CaZTMzjdWzgXZfkFcb28mzm5HH1LPm280YdRJzyvN4cst+FFWlL5A3biI51XisJvIdFpbPmIY+\nC+s8FFVl474ugtEE8ysL8IdimRTCqSbPPiquTHopk+aYlBVNeAkCLb4A6/d2ZvaZVzG1jqNuq4lr\nls1CVrToVjAaJxBNEEumsBh1zC71MqcsH6NemvL61zy7WbsQkEhRVeBgIBQlEk9S6LKwuqGcgWCE\nivzsaOliNeox6ERsJgOhWAKbSU8iNMSsAgfzK/Ix6KTDGvQU2s38vzNm8+R2Oxvf1rOoZz1bf/Mt\n3DVzKV50Ou7psxF12fNb90FDEASQpAl1oB0RkyNCU0klkBNRUBQMeh2/uPGqTMps8MB21je3sX7D\nm/zo4xdh0uv42n1P0LVtA3nDbeglia71z2ZEaCoWpvWlvzBsNaMCyWiItpf+gq9pH4FwhI7Xnh4V\noZJEuKcN1WLGt2crNrOJP9z+LQSdlDErCvd1pFNttRTbVCSEnEyQDGs1r6TXZV7Te71uVeWSCy7g\nK1/4wiHrjAZDpm5QBWqrq3nkvvvGbRMIBrN2vpEjR473xwcvz+V9MhQI8vBTf0NRVbr7BgiGwrR1\n9TCrtABDz15UQeRA725eExy4TRJVhR72RLXm7zadVnMh6SQmO2ggCAJrFlQjKwpPv91MMJogGB1k\nQUVBVtYQAhjSJxedJCBJ2XUS2dk+QDieJBxPckZDORa9DpfVxKYD3YAmEJT0yVVrR5Ad+MMxNqSd\nG9862Mf587OvjUeHL8iu9gEATAZdVrUa8drMfHTZTGRZJaUoBKIJEikFq1FPS7+WwmUeY9ajy4LP\nbTwp09w3TKHTgs1k4Nx5VbT7gjy3rRmAYZt53MWpzsEQW1t6qchzMKd8csWs1ajno6fMJJUWr5X5\nWnucAocFQRCy7rdKEkU+snA6kXiSZ7c2Y3R48EUSOI9y8cogiVy5sIq9pR6e2FSHo20zM9t249+/\nA8lgwlO3gLxZS3BPn4Okz4nDbEMQRU1wHvaCmoDR6Rm3JNnpw+l04C4upa2nnz2dvRgdbszeQhAE\n7TaN1WwBqxNznif9XBJ6q53FM2v51n2PcNlpJ+EwmxgOR7CbjSTDAeLJKKm+gxTYzTzx5wdZUT8d\nVYWW3gGqiwrGDo3BfY2EOntpe+UJTbkJmklQqLOZvrdVDsQ7iQ720rXx79g7diKi0PzCnzEYDFTp\notz37NOcN6sUr8tJIBonlkhRXJCHqij49m5FlPR4FRjo72P9C39jXv1MkrJCe08vNZUVWM0mNrz6\nEgvnzuHJJx9HUWQSwaF0XeuoQBVEEdK3ORGZI0f286EThKqqZrJJkskkbV2asU1nv48K1U8iGqE5\n4iamxuhWVcSwH4rrSaRkTOt+hxc9biJs36RDb3OSP28505adh6qqdG/4G3qrA73Nid7mQG91orfY\n0+k0JwZJFKkqcNI7HCbfYSGcSLC1tY/pBU7K8xwn7HlOBKfNKsVtNdLcP8Rbzb0sn1GCKGbHiaGm\n0EXHYBCXxcib+3sIxROUuO2IgoCiqhS7rdQWuRkMRZlXkT3GQia9DoNOIpGS0UkCu9oHmF7oyioX\nT6fFiF6SSMoyyZTMA6/vpsxrZ+XM7IhmWwya+Fu7oxVRFLho0XRUVWVvt+Y6Oa8in9oiNylZZnqh\n6yhHO7EkUjKDoRj5jtFU1Vca22npH0YniSyuKmRzcy8FDjNGvY54MsU0l5VoIpVJc1/f1Ik/HKPT\nH6KmyD3pnw2dJGZa5Jj0OkxO7fmTspwR39lAUlZ4cst+BkMxTq4pyvw2Hc9PVF2Bk6+ev4RX9pXx\n992LcQy1MV/uQN23g/6dGzVxWDuPvPqluGvm5sThB5Sls2p5+vVNfOqOn1NWmEd95ZFrdC9Yvpiv\n/eoPeB12fvalTwEgShLV5SVcd84qvvLrhxBFkdrSYr7+scuQjCZ0RiMmVx7f/NQ1/OyRp3lk/TZk\nWeb0RXNomD1n3PENtk505uA4EQogmcwYHE5M3kJEnR6dxYbOYmXNKYv4zF2/paakiG9cexGfPGsF\nX/nv36CqKpIo8vkLV2NLBlBVheEDu0BVUVG55aKV3Pm/vyISjyMrKhefPA/rotl84eyT+N6Pf4RR\nr2fh9HJSkSDtrz41xnBopC5USB8LBEFEFEUQJcQR86AxJkKCpNNEpCRppkOSpLnYSiKIadMhUaft\nq5MOEZxaLemI8BQzEVVE4TDiVHyXaBWy4ryUI8dUI6hHyzHIUkbaTrz44ouUlh6fgcLB9k56+nws\nmF3Hxrd2sLe5lUKbkS1btiAZjNQVe/CFopQ6TdR4rbzVHcRlNlI++A7J0DCJ0DDJcIBkaBjPrMWU\nrFhDKhLije9df8hzla2+jIqzryYZDtD44J0YbM5xotFZ3YCloFRzeYtH0Zms4+oOjkQiJaOXRP64\nYQ+hWAJRFPm3lQ1TXu/0bl5pbGdv2t79vHlVWSVaZUUhKSvcv243oOK2mihwWIgmUpw1p2JM38fs\nQVVVuofCxJMyL+9uIykrTHPbpsSk40jIisL21j5EUWJ/rz9jdnLN8llT3tdvhE0Hutna0gfAyTXF\n5NkteKwmRFFAFOGFXW2EY0lObyjDazNPyphUVeXPbzbhD8eoKnBm+qA+u62ZDp+WquUwGxiOxAE4\ne04l0USKynwHj23aRzSRZG55PvGUzN6uQVxWE5cvrZ2Q34TWgQCBaIJZ0zzH9D0Jx5P8ZVMT0YTM\nqvpS6oo9qKrKvh6t1c9kC2+AgWCUv2xqAqDYZcNrM/F/jz/H3Z+8mK29AaJJmVNrCrEfo4CNJFK8\n2NTNy03dpFJJTrEEqYu1EW/ZQSoSRDKY8M5cSH7DybiqGz6QRjQ5cvwzqIqSEYcoCiqq9lhVNdMh\nZfS+dqtqKbtjt1HJ7IcK6tiOKoKQjpbyrtsxxkUjKwQ1o1kzSw8jWDMiU5TSYhKtnydC2jE3LT4l\nKSM4RUm7JZ3em/kTBBDTz5E+bsYEaawoHWOgNPpY1F6PMNZISdT2TW+DIKRbzAjvErjCYY6d41+W\nI/Q6PVY+lGekqrISqspKiMZiJJIp5s6qRZ8IsyW9Pt9hZlV9WWb7s/NG3CaP7JApma2c9M3fZYRi\nMhQgER7GXqJN1JVkAlAJ97SRDA+TioQAqLnkBiwFpUR62tn281vS6SUOdFYHBpuDstWX4axuID7s\nw793G3qbg6Bk5ZX2KAajAaPBQAiwGfVZ2aS80GFhb9cgBp2E23rszX0nA0kUkUSR5XXFHOgdJs9u\nzqQ6vtPpY94kp9sdCy++08aB3iGKXFaU9ElNVlSGwnEEQYvOTQWJlExfIEKBw8LO9gG2NPcCWiTW\nF4xS7LJhzaI+lLPL8hiKxBEFgW1t/cQSKWYUezi9vozmvuFMX8pd7T5Wzpocx05ZUfGHNbHXH4iy\ncV8XkXiKk6qL0Kc/q/kOM5ubeyh0WDIXBNp8DqIJzWimPxjFZTbgsho5vb5sQsRgXyCSMY4JxRLM\nLc9HVdVD3G5VVeXl3e10D4WpLnASTWj1mh2DIeqKPTR2Dab7AmrzmOqCyRWFXpuJ2iI3fYEIdrOe\nXR0D6C0Otnb62Tuo/T7v6NSzvPrY6l8tBh0fmV3GqtoiXmrq5vUDvaxXXdQuWsZKewhL1y4GGt+i\nb8cGdBY7RQtOY9rSszDa3RP5MnPkmHJGLnIfOU13ahknWMeIUVQVRZFBTaWXR0ejoCNiFTUjYrXd\nNfE6KmLHbI+KoAqamB0rVkcELYxr7TJO4HKY5SMLxz0ev8vYHTLLBVETtqKQFrDaNlrUVMiYa2WE\n5Ej0NS1204dIC1TtWIhiRpSOiGXGpAuPtMrR0orHiOW0ANcEuTgqdsdFeUcjv6THfUjUd0Qwjxlr\nLl35+PhQCsIRXt+8jbd2ai0RLjh5Dssq3AwJJko8x+8gKgiCFvmzOqDg0Amk0ZXH3M98L/NYkVOk\nIkFEvTaBN9hdVF3wSZJhTUwmQ8Mkw8OZIvFg50FeeOElkpIeQVXptmmOdisXz2bx3DqM/c3s+NV/\norPY0Vvs6Mw2bdKxZDUGh5tE0E8iMITOakNvsSPqjRP+RdnZPsAb+7spclk5a3YFlixJFRtLPCmz\nvXWAUCyBWT/6dbBl4VhBm0wD9A5HOLVuGr3DEQqcVh55Yy+CABcsqJ50B1yAZ7c20xeIkO+wUDEm\nClxV4GJFXQlGvY6BYJQ2X4CaQhcO89TWklkMes6eU5lui9IIwGAoyoamLmLJFCaDjkRSpiLv/V1x\nOx50ksiq+lKa+4bxWE1sa+3LrGsZCKTT3VWuXT6LwVCMp9/W3DFlReWkmmJ6hsKUemysb9JqTHe0\n9XPm7Alwvhwz8RiOxPnjeu39O39+NXaz9r1xmI0MReIZR9fuoTC1RW4C0QQeq4kXdrWOM2yRlTEH\nnSQEQWB1QzkAjZ0+mrq1sbotBvTDIklZpdB+/NFhu1HPRXPKOWdmCesP9vFyUze/HYBpzqWcccUa\nauKdDOzcQMeG5+h68x+ULjufslMvzEUMc+SYIsYJ1n9xxorXEcU6IoQZc6uOrsiIX1VNi+ORdelz\n0sihRoUvh3mOkejuGAE9sr86Jmo7GvY9TMR3zC3vWnYYYZw50kgasiBm+p+ORnalTGRXFHUI6TRl\nMb1eEMemLY+K2H9FAfuhPgM57drEWRAE7FYLQ9Eke4ciNPcOc/UpdRMqYERJh2HMlWGDw03JijVH\n3N7vqiSw8GJUOUWZWSEeSKBTEsysrsCT72RoWIdkMJEI+In0tGlOZIkY3oYlGBxuBna8QfPT92aO\nJ0g69BY7cz93OyZ3Pr53NjO45y10Fk0w6iw2dGYbnpkLEXV65ERMu4qjO/b3pLHTh6Io9AyFD/cd\nzQqCsQShdMPqhKxw0aIaFFWdElF1NPoCESrzHPhCUdxWE+v2aBP/pDJylVJrED4VYx9KpzEOReJ8\npCwPo07CF4ry/M5WbCY9Fy+u4ZmtzcSTKfb3DHHlyXWTPsbDYTXqOW1mCR2DISwGHTvb+wE4aXox\n9aXew7pMTiR1xR7qij0MhmLsbB9AVhTcY4xYookUf1y/h6SsMKPYQ0pWWFCZj8dq1iLFkUSmxrTY\nZZ2QMRY4LZwzt5JANIGsKLSmo6mNXT6a+zRjnjXzqylyWShwWOgLRPFYTSDAkuointvWjKKq2Ex6\nls8oQRIFaiY4ZTQQjbO320+Zx05R+n3Z1tpHY+cgDaVe5pTloZNEXnn+OeoLz6E7miSVUih9H++h\nSS9xxoxiVtYU8labjxf2dvHAW624zQZOn38FC1ddQc/rT9K27imGDjbScM2X0RknJz05R44cH04y\naaZjl03RWCaDceJz7C0qiqKAmkJJjArTcSnKI2nLqKC8S8DCu0Kx71/AjvRIHS9gR+psxwtYbRvd\nqEDV6cg75az39V59qAXh0vmzsVksrH9rG+vefodgVEu7SsoysaScVREtp82CzmBEVQ1Y8l0YpCDT\n3DZc+ZrhiatmDq6a8cXnSiqZufLlmbUIg9NDKhIiFQ2RjARJRULozNqEJzbYi3/P2yQjQVQ5lTnG\nKbc9CEDr2j/Rtf5ZJIMpXaxuR2+x0fCpbyIIAr7dW4j5erTlVm19jUNka0ykxGPDkkWmJ2Px2kzM\nKcunZziMThRo7htmyfSpte4/HIOhKE9u2Y+qqiysKsQgSexDi2h4bWYkQUAUBeqKpyb97IzZ5ezt\n8pOSFe59dRdVBc50CrNKKJbAF4xmfhOzLYWj1GNnIBhNp+BqY3bbTJMuBsfisZm46uQ6YskU+Q4L\nhU4rLQPDWI16uvxalDgcT9DtD9MxGGR2WR5vH9TSdBdVFlJb7J7Q9OHKdOuIeFKmPxhFVcFpNmYy\nGlr6h9nd6aOm0MUFC6fzwOu7SaZkWvsD2NN1kA6zkepCJ5ZJSCV+fmcbA8EIO9r6+cSpDegkkc0H\nelBUlc3NPUxz23h9byfWgjLe7hyk1RcEYHfPEPNKPEjvwwxLJ4qcVJnP0oo8dvcM8fzeLh7f3srf\n9BIrZ1zA3Ko5tD7zO5r++lvqr7jpRL3kHDly5PjQM1YAZ9fM4/CMF6THKGDT7XPebwfi7JylTyKB\nUIh+n59UPMp0sx63106+3YLHll31bgUOCxctmk4gmuCdDh+JlExL/zCBSOKIVu5jo3kmTwEmz5Hd\nMktOvYCSUy/QmuomYiSjIVLhEFI6pdUzaxE6i51UVBOSyUgINZXITO77t73GwI4N444p2Vzknfc1\nWvsDPPvw/RR1bEFntqajj1bMedOoOPtqAPx7tyInE+jMNvTp9TqLDckwsf8HQRBYNmMau9oHWN+k\n9Z6zmfTMzbL6wXhSzky2h8JxrCYdRS4rHquJOWXeKe9HWO51UO518FA6ffBg3zAfWViNPxzHqJPY\n1NyDxainodRLXbHnKEebXF7b20G7LwgInDWnHLvJQL7DMtXDwm42ZHp39gyH2dU+gMmgozLfobl1\nGvQoqkoiJROJj17EcVqNk1ZLatRLGfObYCzBUCSOJAr0BSP0DUdo7huiPM+B1ahnKCVjM+k5a04F\nvmCMTQd6eOC13SyZXsTCyontUyllHEQFtrb0IYoCFfkODvYNU5XvpKV/mERKRpD0xFMKoiCgArFk\nit9tbMJlNnDx3PL3dZFAEAQait00FLtpGQzx/J4u/t7YyUuSgbPqTofGFxncvwNPzdwT9Kpz5MiR\nI8cHCU3AaueZyRawH3pBWDatCJ1Oh5CSCMRT9Az70Wehu2Q8meL5na2E40mmuW2IgkCx25ap2TlR\nCIKAZDQjGc3gGhVFh4tAjqXu6i9Rc/G/ZyKPyUiQUCzJDl8YgAHLNGrLZ5CKhohFI/QFY3gjIUYq\nnFqff4RQx4Fxx7SX1zLvc3cAsPsPPyYVDiCNEYy2kmoKFq4EYLj5HQSdHr05LSbNtuNq9+EwGxiJ\nDjmO0oNsKih22zh1ZimBaIKeoTDNfUOIgsBZcyqmXAyOZW55Pm+39JJvN7N2RysmvY58hznjNDun\nLC8jcrKFkUwAnSQQjCYRBYHsuhygCUKAWCKFSa+npd+Hx2am0GnFpJc4pbaY2iIXiqpS6pm8uscR\nOgaD/G17C3pJ5JLFNexsH6BvOIJRL7G+qTOd2lpAuy/Iwxv2UF/iZSgSA6C1PzDhgvCcuZUc6Bsi\nHEvwdosWSV1cXcRQOE5fIEJ1gROXxYQcj9JQ6CQky+hEgaFoAkVVGYzE8YXjFDtPzIWCSo+Nf182\ng+5AhOf3dLG2ZTpnG7aw7cl7mfvp28hzTf7/MEeOHDlyfHj50AvCkqICvnj91YR7O7j7/x4AvYHG\nzkGWzyiZ6qGNIxBNEI5rKa2iIHD+/CrcNlPWtJkQRDGdSmqjuW+YJr+OmSUeZpmCtPuCLKlfjNd+\nKi6LkSe27McXjJLIczAvvf+sj32VZDiQSWlNRcPoTKP1Owa7CzkeJTHs02okoyHiw76MIGx88E5S\nkeC4MRUuPp3ayz8HwDv33YFoMKIzWzXRaLFjL6vFWV3Pwb4hXt7WhMtkYPnMMkqyqDXGWIqcFpxm\nY6btgCgKWecsO6csjzlleaxv6qTdFySRkinPsyOKInpJnLC6tvfDqXUllHsddPlDvLFfq8tcs6B6\nSoTVkVhaXYSiqBQ4LLSl0xkHQ1GuXT4r4+45lXWv7b4giqIQVxSa+4axGHSsqCvBpNfxwq5WQDNC\nGki3IOkeCjO7LI/OwRCLjtHF8/1gNuiYXZqXrnHU6kSHI3H84Vhm/Hl2M6l4hP0DQdr9mgCvL3Jh\nNerxWowU2E98tkKxw8LHl9awpqGU19bHsL/xB577wy+wnnoV59SXZa25VY4cOXLk+NfiQy8IAbbs\n2E3j7t0UO4wMJEQaSr1H32mSybObmVueT18ggiDAM1ubMRv0XH1K3ZTWOh2Ol3e3kZIVuofCXL9y\nNgDPvH2Azt3tlHhsDIa0SVh/enIIYHR6MTqP/L7XXHLDIctURcncb7j+GyQjoVFBGQlhKSxLbycj\nxyLE/H2Z9aosU3LaR3BW17OrrZfepl0AOJ7/Ba2yVltZevqlWo/JaJgDT/0uk+qqM2uGO46KGZjz\nitOOsdo+x2O6czwMBKM8vnkfqqqypLqIcq+dAqcFkz47v8K1RW6a+4YRBQGvzcR1y2eil6Ss7O0o\niSLVBc6MOABQpsD18r3Id1gyvSY9NhNv7O+mzGvPmibv9SVeuofCGHUSTT2DDIXjGHQSV508A4fZ\nQCCaZEaxG7fVRJsvwMLKAmqKJr/etbrAyZoF1YBW89jpD5FMaf1I9/f6MTq8hBMpQEAUwGs1klRU\navLsE3rxzWs1cfHZZ7AHH7zxLJ0v/54f7judMxbMZGVNUdZd+MmRI0eOHP9aTOhsct26ddx+++0o\nisIVV1zBDTeMn9R3dnZy6623Mjg4iMvl4ic/+QlFRZNr6BEMR1j35tuk4lEsCZl/W5Wd9RuCIDCj\n2M3MaR5e26PVukUTSWLJVNYJQq/NTO9wGLvZwCu723FbTfQMRwDoC0RZNauM/b1+Zpe9vxJYYcwE\nzV5W+x7bScz97Pczj1VVRUnGMzV5M4o8tJZOxyKkcNYWUKQEUGIhzHnaZzEVixBo20sqEkaOhTPH\nmX7RpzHnFRPp7WDb/3wVANFgRG+2IZltVJ53LZ66BcR8vXS/+Y90KxBbJkppnVaF3mpHVWQyDWqP\nQDieHK0hjMSRFRW7OXXE7aeaAoeFq06u4+ENe3i1sYPaInfG4j8b6R0O0zscptRjp7bITXmWRolB\nE9u1UyCm3gunxcilS7Tv4Eizd4AX32knGE1wSm1x2kEVYOqyL2RFwR+OYzPpsZsNXLd8Fipa/z5t\n6QAAIABJREFUyuu+niFQVeoLnSysykcSBf66s51QPEnzQJBPnVI74cKs7qwrsLvcCM//iaJ9f6Sp\nv55tTSdx+bJ5lLmzL7qeI0eOHDn+NZgwQSjLMt/73ve47777KCws5PLLL2f16tXU1NRktvnRj37E\nxRdfzCWXXMLGjRu58847+clPfjJRQzosFpORfK+b7q4oVoPE2y291BV5sJqy48r7CC39w6zd0Yog\noKViGSSmuWxT3s/tcKxZUMVAMMbOtn72dmu1Y/Mr8ukdjjKrxENtkZsZU+SGCek6yTFmNXWl+ZQX\nLONPG/eyMyUTTzcoH8HkzmfJLb8EtGhjKhbRIoIWLUXP4HAz/aJPp91bRyOUI88R8/fRveFvKKnk\nuHHUX38rnroFDDa+ReODPx0TfdQMdarXfAJLYRnh7lakfTuYgZW4aKS/J0ZjHPRGE9edWj8pLo3/\nDMmUQiwpAxCKJY+y9dTy+t7OdDqjwOkNZUfdfirp8ofYcrCXMo+dBZVHNoqaKs6eW8mB3iEcZgPP\n79TSRZv7Aswtn/qxbmnuzfR3XLOgit7hKDaTnrpiDxcums5Lzz2B23wOLzT3IasqJr1EKJ7EZtRN\nSpROEARKlp6Fp2YuLS89htS4GdW3nY17y2iZczInLTsVgzV7L1bkyJEjR44PJu8pCOPxOC+//DJb\ntmyhr68Pk8lEbW0tq1atorb2yBEZgB07dlBRUUFZmTa5WrNmDS+++OI4QXjgwAFuvfVWAE4++WQ+\n//nPv9/Xc9xIksQnr7iQ9n2N3P/wX+g+0EO7L8hFi2qOvvMk4g/HGek15w/FSKQUErI81cM6LHpJ\nothlpcMX5GD/MJIooqoCJR4bVWm7+mwjJaskUloK6khfwsMhiBJ6ix29ZbS+zGBzUnzKOUfcx1Uz\nh2Xf/yNyMk4qGtb+IiEshaUAmLxFlJ1+qWbGEx0VlAhaxDDQsoeW5/6AHtADrd6FBMyFeGvnIAoC\nna8/S/uLf0YyW9EZLUgmCzqzldrLP4veYme4+R2CHc3ozBZ0pvR6kxVbSRWCKKEqyntGJ/9ZrCY9\np9eX0uYLsqhq4uvE3g8em5mBYBSLUcfGpm5EUWD5jGlZF30H2LCvC18wSrc/xIxid9akjY5gNxmY\nX1GAoqpU5jvp8oeoL8mSNPwxmm5nm482n9ZDMRpPsbm5B3vpDDZ3+ugY0jIB5pV6WFKeNyH1g++F\n2VPIrMs/T9TfR8dbr5B8ax1sfJQ3Nj6Ko7QG74z5eGrnYykozbo2Ljly5MiR44PHEQXhz3/+c15+\n+WWWLl3KvHnz8Hq9xONxWlpauPPOO4nH43zta19j5syZh92/t7d3XPpnYWEhO3bsGLfNzJkzWbt2\nLZ/4xCd4/vnnCYfD+P1+3O7x0aNHHnmERx55ZNyyROLIk/bjpaO7l/7B4cxjIQu7ldSXeBmOxpEE\ngb5AhL5AhM7BINMLXJNmMX+8LK4upNhtpT8QZdOBbkCzf59fMfWRgncTiicp89gw6CWWVE9M2rKk\nNyLpjRgd49suWIvKsRYdOZ2y6KSzyJ+/IlP/OCMUYkf3MLNmT8ek12EtLNPWRyOkYhGtXnKwF0HU\nxMzgnrfoXPf0IcdddvvDCEDzX++lZ8tL6EyjglFvddBwvXaxpn/HBqL9XehM1rSYtKC32nFUat99\nORFH1OkyzzeCrCjs6vDRH4jgtZlxW7OrlQtAY6ePTc09lHvtXLiohs7BIG+l+/l5rCbmVWSb3ygU\nOa34glGcFiMmffYJ1hFEQeCcuZWZZrvZwOKqQqwGPTaTnv5gNC0IBfyRGIqqIogiIgJ6SURRocJt\nY9oJchb9ZzC7C6g980qqV1/G2vWbad25mdpAJ8GXHqPlpccwOr14aufjnbEAZ9UsRCk7a4pz5MiR\nI0d2c8Szx5w5c7jppsM3yb3++uvx+Xx0dXUd8cAj9U5jefek4JZbbuG2227jiSeeYPHixRQWFqLT\nHTqkq666iquuumrcso6ODs4444wjPv+x0trZzcNP/V3rQ+i1kJdfQG2R630f90SjkwTMBh2yrJLv\nMNMXiGAzGbAYs3cCIAgChU4L4THpgtloghJNpHhmazOKolCe58g6gS2IYjqd1AoUsnNfFwcUGNjf\nx+UeF67aubhqj1z7WnnudZStvoxUVBOLqVgEOR7JTB5dtfMQDUZSsXBmvVbXqOF7ZxMD29ePO6bB\n6WXpN34NwJ6H7sS/d6vWriQtGC1F5Uy7+LP0ByJEB/vYPthK3kE5IziNrjycVbMASAT8CDodOqPl\nuFqFnAi2t/UTS6Ro6vYztywfg07K/E5lWy/SEZbPmMasEg8OsyFrXIYPh6woPLvtID1DYVbUlWRF\nlFASxUztcrnXgcNsIBxLYjHqiSVlNoSGWFzqYUl1ASpgzJIIsSRKnH/qyTzrKeHJ3Z1cd3Y+lfEO\nBpu20bv9Nbq3vIhktOCdMR/vrMW4p8/O9JDNkSNHjhw5jsYRZ+erVq0CtLRRo3H8iWVwcBCv14vX\ne+QTfFFRET09PZnHvb29FBSMjwwVFhbyi1/8AoBwOMw//vEP7PbJtXpPJEfFilESmVOel5WObvt6\nhtjWotW+LJlexKVLanGYjVnVg+7dRBJJ/rJpH5F4klklXsq9Dirzs7P+ZeQ/nkzJbNzXRZ7dnHXG\nHSN0p9PZhiNxoonUUfv6CaKIzmQd18ZjLN6GJXgblhxx/5kfvRnlyi+MisloGGWMYCxYtAp7Wa2W\nChuLIMfC6MxW7CYDs0q87GzdhbvzTVrD3Zl9HFWzmPuZ7wGw8/++Q7Rfu7gkGozoTBbcMxdSe+mN\nAOx/4jeospwRm5LJgrWoPNMXM9R5EMlgzKwX9cfe57Cu2MOmAz0UuSw89dZ+krJCfYmXueX5WXdh\nYARBEPDazFM9jKMSiCbo9ocAaOr2Z4UgHIsoCpj0Ol7Z3Q7AaTNLCXcf1ERglgjBd3NefSm7u4dY\n2xrkW+eeRtGClSipBP7m3fj2bMG39236dm5A1BspnLeCkpPPwezJ7nTtHDly5Mgx9Rw1XHP55Zdz\n2223MX/+fADWrl3LXXfdxdq1a99zvzlz5tDS0kJ7ezuFhYU8++yz3HnnneO2GXEXFUWR3/zmN1x2\n2WXv46X8c9RWlnPuquW0N+9n21tb2LfuHS5YUE2+Y+rShA6HzaRnpHH6YCjGluZeil1Wzp9fNWFR\ngngyRTCWJM/+z00+/aE4kXTvxERKPkQMqqpKJJHCYtBNWUpZNJFiR1s/c8ryMOl1dPlD7GjT+pR5\nbeasjBKdXFPMluZeSjy2SWvyLko6RKsD/WEMLfLnLjvifjaTnvL5J7PokosotOmRY1HkWATG/L/L\nz7ySRHBoVHDGIljySzPrQ10HSQz5SMUiKEmtB2PBwpUZQbj9f29FlUcdVwVJx7Rl51G15uOossyu\n3902TkzqTBac0+fgmt7AvFI35bEOhtQYf++NIIgS4WgMxyS9r//KOC1GqgqcdPnDzM7CVj4A8aR8\n2PvZiigILC7P4y/bWwnFU9hNekSdQYsMzpiPIqcYbt1L/84N9Gx9lZ6tr1J+2sWUrbgga9J2c+TI\nkSNH9nFUQfjTn/6UW2+9laVLl9LX18fQ0BD333//0Q+s0/Gtb32LT3/608iyzGWXXUZtbS133303\ns2fP5owzzmDTpk3cddddCILA4sWL+fa3v31CXtTxsnD2TMIDPSRkFSkl0+YLZo0gHAzFGAxFqSpw\ncumSGmRF5Y393aiqSpc/RDCaxGU98ZGMeFLm0TebiMSTzK8o4KSa4qPus7/Hz8b93ZS4bZxeX0ax\ny0ptkZuBYDRTN7iluYfmvmEWVhbQ5guyr8dPmdfO+fOrD3vMia4/2rivi309fgAuWzqDQHSk6bvW\nSD0bmea2ceGiqWtCfqwEowk2H9CyBFKywiVLarU0Nvv4lOz8ecvf8zjzP/+DzH1VlknFI6OPVZWZ\n134FOT4iJqPIsTD28hkAKHISVZGJDfaOSZeNIogSrukNJMMBdt3/YzrtVQgGDzo1ifh6E52BSyhd\neRExfz97HvypZtiTNuPRma3kzV2GvayGVCTEcMseLaXXZEEya9tIBtOEGPV8kBAFgbPnVE71MN6T\n2iIXsWQKfzjG1tY+nFWzGYomcBmyL7V9hHhKE66SeOjvoijpcFc34K5uoHL1FRxY+xCtLz8GqkL5\naRdN9lA/MJxx0zepmjYaSf3+DddS5D1yhsiDa1/hunNWTdh49rV38eS6N/nqtZfw+2dfxGw0ctWZ\nKzLrr/7WT7nnls/itB1/K5Kb//u3fPaS86irmLr2L+/m72+8zd62Tr505Ud44tU3MBn0nHfKoqke\nVo4cHyqOetarq6vjs5/9LF/96lexWq089NBDx9wrcOXKlaxcuXLcsi996UuZ++eeey7nnnvucQ75\nxDM4FCCZkrHrBURRpkQfJx4YRNIbEfWGCWs2fjQi8SRPbNlHSlao83tYNUtzbG0o9TIUiVPotPDa\n3g5CsSSrG8oodJ64PlWRRDIT3esYDDGwrRmzXsdpM0uP2Fx8e9sAkXiSfT1+FlcXYjXq8YVi+MMx\n9vX4cZgNGcOOTc09JNOunu2+EIqqIgoC8WSKloEAxS4b7b4gG5o6meaxcd7cKsTDTIDeL8a0KYco\nCGxv7adnOERdsYfZZXmTFn07Xg70DrFxXxelHjsrZ2Wvy6DJoMNhNhKIxk/YZ1OQpHEOr4Ig4K1f\nfMTtJYOJuTfeNm6ZqiioqvbZ01sdyBfdgq83jKrILPck8dKAs7phZGP0NiepWIRowE8qpqXFWqdV\nYi+rIdzbTuMffnTI88689svkzTmF4ZZGmp+6F53ZmnF/1ZmsFJ9yDua8YmJD/YQ7DyKZrGkXWE1w\nSkbzh15QTgaCIDC3PJ8tzT0kUjKiTk/bUATXFBrJvBeheJLXDvQyPc+O5Sii1WB3MfOyz7EHaH/9\nGYoWnZ5rWXEEDHo9v/3GF455+4fWrjtuQSjLMtIxlng89I9XJ1RwnkhUVUVVVcQT9Ht13ikLuemu\n/8sJwhw5JpmjCsJbb72V9vZ2/vrXv9LS0sKNN97Iddddx7XXXjsZ45twFEXhgb88QygSoWj6TK5a\nfTLJcJBEyE8y6CcRCqAkYoxWmSkIog7RYEBMu0ZOlBFGUlZIyZo5TziWpN0XpMCh1bZVFzhp94VY\nu+MgAO90+E6oIHRbTSyuLqJ3OIwoCrT2B9LLjbT0B7AY9ayaVUpj1yCqCnPL86gtcjEQjOKxGQlE\nEoiCwGAoCkCnP0RdsZs8u2bvX5HnwGszs6OtH7fVxNodLdQVu9nV4aPbH8Js0GEx6lFUlQ5fkGAs\nMSE1XSfXFJNvt2Ay6PjbtmYAeobDrKrP3l5029v6CceT7O0eZGFVQVb2ogRQFJWGUi9Wo47phdlT\njymIIgLa5EXU6XEUTMMQ7gUEiufXUDBGDJg8hRm31bGMmGbZplUy7ws/RI6GNbGYdnq1Fldqxxd1\nGJxe5FiYmK8nkxKbN/cUzHnFDB/Yzb4//+KQ48+/6cfYSqro2/YaHa88NV4smiyUn3E5equDUFcL\nkd427bfIaEIymBD1RqyFZQiShCKnEAQxJy6PQk2hm/29Q8jxKFWe7GwAH06k+PXrewknUtwwr+KY\n9hEEgYrTL2OgcTMd65+l+uyPTvAo/3UYG7UC+MavHuCqM5azqXEfiWSST//gF1QWF/Dpj5zFN379\nAPf95xcBeOSF14nG43xyzRnc/N+/paG6nF3NbSyfM5Ozly7grj89RZ9fczX//GXnM2f6+P9lJBan\nubOXmtKjZ+X0+Px87X//wJzp5exqbiffZef7N1yH0aBnf0c3d/3pKeKJJNPyPNxy3aXYLVr5x/Ob\nt/Hzx54hHItzy7WXMquylG37DvKLx54FtM/N3Td/GovJyJ9eeI1X3t5FMpVixbx6rl9zRuZ558+o\nYvfBdlbMnUU0keDGi8/NvHdNbV188coLeH7TNh5/dSPJlMysylJuvupCJFHkbxvf4o//WIfHaaes\nwIs+bShoMhgo8rhobOlgVmXp4V94jhw5TjhHFYQzZszg9ttvRxAEysrKePTRR/nBD35wtN0+MKiq\nSiKZRBAEEqrExgM9iILAypOXo0sbCyipZGYiJydiJMMB4oG0YAwMIieTCAKM+KqKkg7RYETSGxD1\nhkPs+I8Vp8XIGbPL6RuO0D0U4rltzbgsJupLvWxo6sJrM2Ez6YnEU1QXnPj+fiO94/b3DtHaH0Qv\niZmWFwCviwL7e4cA0Esic8vzKfXYeXzzPp7d1syS6UUsqCyg3Rek0Gnlz282IYkCFyysRpZVdnUM\nsKCygPVNXcSTKToHQxnRl0gpLKrysulA94TWykmiyIxiN13+EF6bGV8oOiHv5YlkeoGL/kCEQqc1\n63rQjeWl3W20DQTQ6yRKPY5MNDbbWFhViNmgY2/3IDvbB1hhKTnqWEeispLRjL10+hG3s5fX0vDJ\nrx9xvbd+MdabfpQx5ElFw8ixMEa35oSpM1kwufNJxcLEh/oJd7eSioUpW3UJAIO7N9P2wqOHHPfk\n7/wenWSlde3DdK77q5bpYDAiGTTRuOBLP0EQJbrffJ7h5ne0bAiDJip1JiulK7X0wmD7PpKhQHpf\nI6LBhM5oxujKe+839QOGy2rk6lNm8thDv8duvHSqh3MITX3DPLDpAMF4kutPrqXCc+wp4xZvEYXz\nTqXzzbU4ymrJm3XkiPqHlRGBB1DsdXPbDUe+4H3DRefwxKtvZiKKPT7/ex47FI1x982fBuC2+x7l\nitXLmDO9kt7BIW755f3c/80vjdt+b1snlcXH3pqpo9/HN6+/kv93zSV853d/Yt22dzhr6Xx+8IfH\nuOmKC5hfW8W9z7zA/c+9xBcuXwNALJHgF1/5DNv3H+THDz3Off/5RR598XW+dOVHmDO9gmg8jkGn\nY3PjPjr6fPzqqzeiqir/ec9DbN9/kEK3i/a+Ab523aX8x1UXMhQM8/k778kIwpff3sl156yktaeP\nl9/eyc+/fAM6SeJnj/yVFzZvZ/HMGn7/3Evcc8vnsJqN/Mf/3EvtGAFcV17CzgMtOUGYI8ckclRB\n+MlPfnLcY7vdzh133DFR45l0JEni6gvPYV9LGylZYfP2dwBwOR0smqPZ4os6PQabE2yHFwpyIj5a\nwxSPkQgOkQz5SQSHiPsHUBRZm0CqACqCXp9ORzUi6vTvefW+ptBFTaGLB1/fDUAglmB/jx9Q8YWi\nXHlSHQ7LxNrP1xS6KHRY0EkiPcNhWgeCGHUSBU5LRhAmZBlfKEo8KSMrWjpe71CE/mAUWVEywkVW\nVOJJmfVNXUTiSToHQxS6rHT7Q3htJlbVl9HYOUh5np1Sj52GSTCj2NrSx6YD3UiiwGVLa8mzZ2e6\n2AjzKvJpKPUeMXU3WxhJCZZlBZVD29BkC6IgkJQV+gNR+gNR8h1m5pZPTv9BndmKreTw9bMAnpmL\n8Mw8curUtBXnkz9/BXIihpyIoSTiyIk4kkEzQ3LXzkPUG1GSsfTvVAxVTmYuUiWGfYQ6m1ES6fWJ\nGDqjOSMIO9b9Fd/ON8Y9p8HhYemt9wDwzu9/SODg7oxglAwmLAWl1H30ZgDaX/oL8WEfktGM3mJH\nZ7Fj8hRkDIGSkaAW1ZyitPxsJxhP8vfdnby6v4d8m4mbT2+g8jjE4AjV51xDpL+Txj//grLlayhf\neRGiLjtT4qeC400ZPR5OXzgnc//tvQdo7enLPI7EYkRicSym0SwP33AQ15jawCOXBGjLi73uTDSx\nrnwaPYN+QtEYoWiM+bVVAJxz0gK++7s/ZfZcvUhrUzSvpopILE4oEmV2dTn/+/jfOHPJPE6bV0++\n28mWxv1s2bOff//hLwGIxhN09PkodLso9Dipr9IyaVx2K9Py3Ow+2E5Jvpf23gFmV1fw5Lo3aWrr\n4sYf/wqARDKF22alsaWdebVVuOzWzHvU0TeQGZ/LbqWtd/Rxjhw5Jp4jCsIbb7yRK6+8klNPPRW9\nfvzJur29nccff5ySkhIuv/zyCR/kRJFIJtn2zl7yvR5WL1vKngMH2TIiCB3HftKV0pMhg/3QtDhV\nVVEScVLx0R5wieAQiaCfZHCIWGAQVBUQRkxE0+moBi0dVadHEARWN5Szu9NHTaELRVVZ39TFNLcN\nl9U4KTVkIxG6qnwnH1tRj04S0EsSTouRvuEImw/0svlAL+fMrWDp9GKGInHsJn268TNYjXqqCpxE\nEym6h8LYjHoi8SQem4nz51UxEIzitZvRSyLLZkyb8NczFn84BmhiNZEWMdlMz3CYt9IuoyNmPdnI\n6Q1l7GofoHc4wro9HayoK8FiyI6J/74eP91DYeal20vk2c2Z79E/66o7WciKwhv7u0mmFE6pLcac\nd+TUsqP1qKw4+2oqzr4681hV1XGOrVVrPk7pyouR47GMqBz7e+NtWILZW4ScjKHEtfWSafSCSrB9\nP8G2Jq23Zfq4jspZGUG449ffJNrXiWQwobPY0VltuGvnUXmuFqHpfO0ZrW2KxY7eYkNnsWN0ejE4\nsicFeSKIJlO81NTNS03dJFIKp00v5KK55f90X0Sd0cycj32NA2sfpH39M/Tv3sT0c6/DUzvvBI/8\nXwdJFFHG9FNOpJJH3E59j+3MhlHhragqv/zKZzC+x++g0aAnkRr9DjqsFnzDwXHbRGNxbBYT0Xgc\n/ZjPhCiIyPLhxzmWQ+YMgsA1Z6/k5IY63tzdxOfuvIc7v3A9KnDN2adx4Yql4zbv8fkxGcZfUFi1\ncA4vv72T8sJ8VsyrRxAEVFXlnJMW8O8XnT1u29e37+a9Zi2JZApjFvYszpHjX5kjfuNuu+027rvv\nPu644w6cTicej4d4PE5nZyfl5eVce+21nHnmmZM51hPO8+veYHtjE4IgcOm5q1m/ZTtF+V7OPPVk\nyqcdm3HO0RAEQavtMZrA4Tlkvaoo2tX9WIRUPEoqEiIR9KejjMOkhnz/n733jo7rPs91n72ndwwG\nM8Cg90awV1ESJZEqtmg1S7LkEjuRHMVJfHLuzfW1nXO8nMQrTrzOTW7iY58Tx9eJe2xKsi1bxbJM\nSiIpib03kChEBwYzg+l9l/vHHgwJiRQlESyy8azFRWAGs/HDYLBnv7/v+94XALcA9SaJ3rOjdPnd\nPLqiTstbU9U5Fv5XA8t5Zgb1HieJTJ7ZhtmhUJzpWBqnxciKRh9DoTjZgoTdYmRxfQVP7T7DVDSF\n12nl/lWtlNvN6HUiVWXXbm5nTUsVKirJbIFIKoe/zHbdGrUA7DozwXQ8zdhMghZf2XVpfpPM5omk\nspRZTaUYD5fF9I7caq80yWyel0+MAiqxdI4PLm2i0mXj0Rs6EdA2P0bCcaKpHF015W/J+lRVlUgq\nh8NivCZOtP2BKMdHtd1zm8nA6pb5OVeBdr4SzqvWmcu8mMsuXi2tWr3pbY/X/akvAMWNsUKOQjoB\nyrlNl9pb7icXDSGlExTSCaR0ck6L/ci2p5GzqTnH9K24hfaPfBZVVdn/tT9FNJpLYlFvdVDeuYKK\nxetQFYXwyX3n3WfHYHVc19XIvCSzYyDAS70TpPMSy2vL2byojirn5W9S6Iwm2u95HO+idQz8+oec\n+Mn/S0X3Glo++AcLZjMXoMpTxi937kFRFEKxOL3D46X79DoRSZbR63S4nXYiiRSxZBqLyciu46dZ\n09V2wWOu6mzlFzt28+jtNwPQPzb5llnBhkovTwZfK32+pLWRr37vKT525wasZhM7Dp+gpbbqbbuC\n7BYzdquFo/1DLGlt5Ld7D7O0WC0EeOXAMZa3N3NsYAib2YzdYmY8GKa5pormmipOnB1lJBBkdVcr\n//HcNu5YvRSLyUQwGr9oZ8qGZYv48W+2018+yRP33QXAio4WvvTtH/PQxvW4HXbiqTTpXI6uxjq+\n+fTzxJJpbBYT2w8dp6Xm3HlsbDpMT3P9RX++BRZYYP65qCD0er18/vOf5/Of/zxjY2MEg0HMZjON\njY1YLNf3Dvo7ZbaNTVVVDp88TSCoia9kKs3YZIDKCg/ZfJ5jp/qor6mi1j//Ab9aaLiWjXYhaxBF\nlpFzGQqZFE/+4GcU8iZmJjJ8rK6WQipOIRMpOibOChjtZxIMBnR6I0LRJVXUzd9u25nJCH1TERbV\nemj0uujwlxNJ5ZAVhVxBJpLSnEW7azw8tKadn+7qZW//JH2TEfQ6kbwkYzXq32KCE0vnsBj1GK9y\nKLTdbKS23MGrJ0eZiqYQBei6zkK0z8fnsjIdT+OwGDFfh/b4uYLM03v7yBUkasrtiKKIoqjXJMpl\nJBwnLym0+FwlkW/QiRj12usQ4IevnURRVe5Z3oLPZWUmmeHXh4cAlWg6x4bOuXMsO0+Pc2o8jNtm\n5sE1bfPerh2IpTg2GqLJ66Klsuwt95dZTaXdd/d5kTO5goxeJ1zR9vH3iiAIpfnF86lceevbPm7d\nl/8dKZMqicVCKoFxNrZEUXB3rtDuSyXIRoJI44OYyiqoWLwOKZui90f/+JZjNtz5KHUbH6SQjHH6\np18vVh81wZiPzZAKjmGraUSRCuQTUfRWuxYjcgU3iSRFYdfZaX59cpx4tkB3VRn39NRR557/jTJ3\n8yJWfObvGHv9eUZ2/JLo0Ck67/8T3K2LL/3g3yN6mhuo8rh57O+/SVO1b86M24duXM3jf/9N2ur8\nfOkPP8InP3gbf/aP38LvcVNfefENlL94eDP/8uSzPP7330BWFJa0NPKXH50bB1Jf5SWVyZVaSVtq\nqrj/lrX8l3/+/xAAt8PG5z72wCXX/1d/8GDJVMZfUc4XPnFuNtZhtfDZf/q3kqkMwM9e2cWhvkFE\nUaSxysua7naMBj3DU0H+/B+/DYDFZOS/feqhC55jHFYLDVU+hqemS7N/jX4fj33odv7vb34PVVXR\n6XT8Hx+5h+6mOj5190Y++0//RrnLQVtdNcp5G0XHB4f51N23XfJnXGCBBeYPQT2/1+FjDz+uAAAg\nAElEQVR9xNjYGJs2bWLbtm3U1r63weNcLs+hk6fxlrvJFwo885tXsFktWC1mpkMz1Por0Ykiw+OT\n6PV6/uKPHsVsunaOjv/246cJR2JUVpRjNBrQ6XTcd8etmHXCnBkiKZsuXkDFKSTjFNLJYqD3uQsa\nFRVR1CEYDJpgNBgRdW8/zwhay8u/v3IMRVWxGPXcv6qVeCZPjduOIAgMBKJsOzGCxainrtyBw2Lg\n6EhIE4EmA/csbyEQT9HkdWHU65BkBZ0ocGQkyJ7+SWwmAw+vbb+i7SIFWSaZLeC2nbs4PTMZ4ZWT\nIwDc2l1Hh/+t1dzrBVVVCSUyOC2m69KoJZHJ859vnALA77ZzW1ctssIVyct8O0bCcX59WHPhvbG9\nhq6acgRBQBQE4pkc4USWWDrHnoFJABbXe1FVFaNex8Gz04BKZ7WHmzqq0YkimbxEKldg24kRosU2\n40/evGhOxXw++OmuXmJprTXzD27qoiCrOItV4FS2wG+PD5MtSKxvq6a+QqvsDE5H2Xpc+7v78Oq2\na2o29PqZcaaiaW5o81PtvnZ5mYoskQ6MakIyndCqkKkkruZuXE1dZCNBTv/knymkk0jpBFImxd8e\nyfLDz/8x/jWbSEyc5fB3/gYAQdSVKozNtz+Ku3UxmZkAgcM7tQqkRbtPb7Fj9VajN72zTVNFVTkw\nGua546OEUzlaKhzc01NHq/fqVOxS02Oc/sW3SIemWPGZv8Pqmb9q8wLvnadefh2r2cTm9b9/BkB9\noxM89fLr/LdPPXytl7LAAu8rqu+4vL+Z66+8cBVJpFIcOXkGs8nIQ3ffzv133QYCPL9tJwCBYJia\notvX9dBA+MkHP8T4VJCxiQBvHDwCwMm+QVYvXaS1pL4NiiQVBWO2KB5zSJmkVmVMaTvsuWwUVZG5\nULVR1BtLwtHjsBCMp3FaTTy15wySrLCswUcqV2B0JsGN7dUksnmODGutgssafKTyBbqrPUiKwlAw\nTq4g4zAb2Xp8GLvZiNWkvRRTuQKxTB7fFRKEBVnh6T19xDM5ljX4WNvqR1VV2v1uxKLvT+sFqjLX\nE+FklsPDQWrK7XRfh5VMh8XILV11jM8kiaSz/HTXada3V191QVg4bx50Mppid/8kZoOOu5c1c3Ao\ngKrCqiatrVlRVWYSWcYj2qzO+vZq0jmJ3okZ+gMRbuuuY0fvOLmCRJPXhdmgo6HCOe9iEDR34Vg6\nh9Wo55n9/cQzeVY0VbK6uYq+QIRATGuhHIskOTg0jU4UMOl1qKpKOlcglMhcM0EYSWVL7az7Bqcw\nG/RMRJLc1FFDW9XVnfsTdXrs1U0Xvd/s9rL0z84ZpKmKjPOzX8TXvRYAk8tD272PFwVlUjtfphPo\nimIvMxNg9PXnQZ07d9zzic/jbl5EqHc//c//AIPVht6izUAarHbqbroHc5mX3qERnjkxyVhapdpu\n5Ik1jfTUeRHfoyv1e8Hmq6V+w/2ceuobJMb6FwThdcJ9N6/h1UPHr/UyrgmxZJrHPvT+HkdaYIH3\nI7/XgvDIqT7CEc0l85Vd+zh6qg+AZd0dJNNplnS1Ueev4tjpfuqrq65pdRBgeHySnXsOUe52odfp\nEEWR+pp39gYu6vWIejtYL75jP2uA87bVxkSMO+qsRLJGFEXhhekMoDI1HWQ8kUcQBE6MBumunbWl\nF4ilc5wNxkhmC6iqylQ0xVAwRm25A0VViWdydNdoFTmvw4p3Hk09xmeSvHZmHJ/Tyi1dtaRzBeKZ\nHACjMwnG9iaYSeXYtKiO1vMuWBVFZXvvGOFkhps7akrtrZm8xHAoTo37ykVhXIrXTo8TiKUYnI5S\n73FgN19/M4Sd1eX4y2z8dFcvAKcnIyyqvbpRBc0+Fzd11JCXFGJpraU5lVPYNzjFUFDLAbOZ9SSy\neQqSQlWxPU8nijR6XUxEkmQLmrnDmckoueLHKnDfytYrtu47ehqYiCYx6nT88kA/oL2OVzdDjdte\nmmnM5gslcdhTV0G53YLDbKDmKlXlRsJxgvEM3TWekjC2mw0lQVtuM3NyXGvDPzEWniMIZUUhW5Cv\nq9gUQdQhiLpSW6vR5qRq2YaLfn156xJu+tK/I2UzJbEopZPYq7RcOaPdjadjeUlMZsJTxMeSeFff\nyTMHBnltcBqzlGLN9B4aY6eJ7YPXBYHV/+X/wVzmZfr4LkIn9mqVScusqY4dX88NiHoDhUwSVBW9\n2faecibToUkmD7zM5P6XMdhdlLcte29P3ALzjtFg4M41y6/1Mq4Jq7qu3Ll1gQUWuDi/14Kwvame\ng8dOYTQYKHM6SrdXlJdx98abSp+vW359zFZs332QcCRKcCbCn3z8Iew269u6lb1b5hjgvA2KJKEU\ncsi5DHLdcaZDM6xqrWbrniOMBGZwGEQO94/hM4qsqnOx/WwYOS8xNpWlzWdHLhSwmfR0V9qJpTI4\nbWa6aytYegUcMw8PTxNNZYmmsnRVu7GbjaxoqmQikqSxwsnufq1d8MxkhGZfGQfOBpiMpmjyOjkz\nOQNosRQfWKpVGl44fJZQIo3NZODjN3ZdE/OZMpuJQCyF1WS4LltGZ3FajDT5XIzPJK9KfMibEQSh\nJEJDiQxTsRRWo4EOv5uRUBwVkGWtqgbgtproXNxAJi/xs719WI16KhwWJEVlTUslHruZUDLDmnk0\ncbkQep1IvUdrGVzW4GM8ksSgE/n2y0dZVOvhlq5aDpwNICkqOlFEFAU6/OXc2F5zRdd1PvFMnheP\nDKGqWvxNa6WbUCLN4jovD61pJ1uQsBj1xDJ5JiNJOvxuJFkhnS9gMer5+b5+oqksa1r8LG+8fpxy\nRYORHx48iyIIfKinFo/t7c+FgiBisNgwWGxYyufOmDtrW3C+KaMykS3wv3aeYiya5tYmD7f6PIi5\nCgqZW0qtrQar9ruXc1kykWmk8UEKmWTJpdXXsw6AkR2/ZGLPS4CgzaEXW1qX/tGXEASB4Mm9ZEKT\nRUFpR2e2oeTSpEOThE8fIDk5jCDq8Paso+mORzG8zWbhAgsssMACv9tcVBDec889b/vAZ599dt4X\nc7Wpq67iL//4E+dCpkUdsiKX8gevN1obaglHolS4y3hl1z4cNhu337z2qptIaNVGPXqLjQ233lq6\n/dPL1iErCv+x5RkkcYaYqlC5diOdrj6GxiZprfVxQ3s9YxMT2HUKBqVArdOElEkjzUwhzWY1CpTc\nUwW9HlGn1+Yb9QZEvX6OC+GlaPA6GZtJ4rQaeeXkGPFMjlXNVSxv8DE4HcNtM5POF/DYLQSiKfYP\nTgFQkGTsZiPJbIEql43fHhvGqNeVKkZ5SSkt9WpzY1s1qqpSbjO/xQHzekIQBBxmIw6z8Yq0Vr4b\nKhwWHr2hs/T5o+s7QQWdTiCYyJAtSCSyeVRVa1vOFSRyBYkPLmsqibNy+9U305p1Zf3OK8dQVZWT\n4zNMRlMl46aH17YX3U6v7utAPJeSQ0FS+O2xYTTX1jyL6ytIZQs0+Vzc3lNPNJWl3G7m6b1niKVz\ntPvLSzOYo+HEVRGEZ6djDIXi9NR6LmhupKgq8XQeg9VFKi+BKHA2nLykIHw3KKrKd3adIZDI8pmb\nOujxv30LrX/lbfhXasYaqqoi57NImWQpP7CiazXmMq9WncwkkdJJFFkqvZ/NnD7E9LE3LnBkAWdt\nC1ZfHYVUnFRghN6f/W8MFjuWCj+Ntz0IQGTgGIoknTcjaX/P1cgFFlhggQWuby56lfatb33rsg++\nY8cOvvrVr6IoCg8//DBPPPHEnPsnJib4whe+QCKRQJZlPve5z3HLLbdc9vd9N+h0Og4cO0UwHOHG\n1ctw2K7fUPJNN61lzfLFvLb3EIdOaK14jbV+Oloar+3CzkMninQ0NxIMR/BXVvLMq7vJZHN0tjax\n+QMbAShvn5uLpqoqilRAKeS0ltVCDqWQR85lNYfBTBI5k0TKpMglY8Wd8uIVKUIxx1FF0OkQdHpE\nfVE86vQsqvHQWllGOifx1J7TAAyH4hw8G0BRVcpsZsrtFg4OBegPRLCZDKRyBfxuGwadSF5WyBQk\nBqe11uIVTT4kWaXJ60K8ytVBVVVRVJXjY2HOTEYAcFpMNPlcV3Ud75R4JleKnNg/GCgJq+sBx3lt\nth9e3caRkSC7+yYA6PCXY9DrcFmMVDptSLLCRDSJ12G94sJ2KpbiyHCQhgonndXlpHIFzAYdi+sr\nODEaprvWgwCEi7mdLquptCFUkBWmY2kqHBYyeYkjI9qc6ZWYibWbjdy7soVQIoO/zMbP9vWjKCp5\nWeaX+wcAlaX1XvoCUdK5As0+F7G01qodTWVZVFvBVDTFyqb5d25+M3lJ5rfHh1FVlWA8TUOFk9OT\nEZbWe1naoDlCbj0+zNnpGCanG5fFiAK0VDgYj6Y4OhGh0WOn6zKfx/5gnIFQgo+ubLqkGHwzgiCg\nN1nmmNW46ttx1bdf8OuTUyPoLTb0FjtSJomg02OvasBR20rdjZsx2l1M7NtGcvJsqaU1FRxDyqVL\nxxh6+WmSk0Nzjuusa2PpH30JgN6ffwspmy7OSGpVSFtlHZ6OFQCkgxPojCbNpdVwbcctFlhggQUW\neHsuenVTU3Ou/Wh8fJzh4WHWr19PNptFOi809WLIssxXvvIVvvvd71JZWclDDz3Exo0baW091x/+\nr//6r3zwgx/kYx/7GP39/TzxxBO8/PLLl/kjvTsmAkF+s13bRc3l89x3561X9fu/G7a9vpfTA0NU\nF22t9Xo9nvLrzwBlw9oVrF66CFmW+cb3fgpAIpm64Nf2nR1hbDLAqiXdOOwOsDou+HXnM9uyqkh5\n5LwmHpV8DimXLl3cyBnNol7J5wAVCwIdbgNTiRyLy0RejxdIFxTMgoFIPIeqKCSzBda1VRHPSDjM\nRl47reVONfvKAAFRFGiscF2T+IRMXuKZ/f0ks3kavecEoE68HuyOLozNZKDcbmEmmaHOc+nf67XE\nVZoHFWiudLG+vZqRcIKCLPPyyXFGQnEcFiOPrutEvILP+c7ecWaSGYaCceKZHIeGpnFZTXx4dSvV\nZXZcVhNOi5HuWg/WojidiCTx2C28dGyIiUiScrsFo15kKpqid2IGf5ntiszqVbpspdna+1e2EE5m\nsZn0jIU1Y55EtlBqx83kZZY1+JiIJFnbenXdR3WigNWoJ5UrYDMbODwcBFQODU/TVZxdnoxo5yed\nycrSKheHA3H6igIulskzPJOixeO4rEiceFZ7LmqvYOZqNhZm8MUfET59EEFnwNOxnIruNbhbet7i\nfFp9iQzJro/8BYVkTKs+ZjRjHcOc87NKIRUlHRzXzrn5LBVdq0uC8Mh3/w6pmCEp6g3oLTZ8S26k\nadNHAOh/4QfojGb0FluxCmnDWlGDtUIz+lJl6brOjFxggQUW+F3iktvdTz75JFu2bCEWi7F161am\npqb467/+a77//e+/7eOOHj1KQ0MDdXV1AGzevJlt27bNEYSCIJBMJgFIJBL4fFd/lsRiNqHX6ZBk\nGZPRQCKVvi6rhJlsjj2HjgHa8/bHH/0wZpMRh/3aBboDTAXD7DtygtaGWrramku3W8zajvD9d97K\n4Og4fp+XeCKJ06FdCKYzWQqSxNMvbEVVVQKhGR6996539D1nW1bh0j+7qiiaYJTy1OZzmpAs5GmZ\niTA2OYnfbmQ8EOT02DRmQWbn8SFApd5lQc5rFY0qQ56eVhd6gw6HkiKfyCGIegSdDlGn/f9u2ljf\nC8F4umSGI6CyrMFHmdVUih24HtGJIuta/IyE49eVG+pwKM7rZ8apctm4rbsOWVGRZIVNi+pxWU14\nnVaePzTI2EwCq8lQCmJOZgvIqoLIlftdu20mZpIZHBYDE1HtYjqWzrH91BiD0zEMOh2P3NAxawDM\nb48NMxyKU2Yzl0xvoukcTcXXhcmgQ38VWvy8Tmtpo2RDZy3xbJ5l9T58TiuT0SQrmyqvyUYKaK/D\nB1a3EYynqSl3sP3UKAOBKJVOKz/YeRJREFhSX8HAdIx0eJID4xFSkszB0TCNHgexTJ4yi+Gigdzv\nlHafE5Ne5KlDQ/z5hk4s8+yknE/FOfLdv0POpmm49cP4V9+OwfLe3x/MLg9m18X/bjs//KdzPlek\nAop8brO47d7HipEexZbWTAqLW3uPV2SJUO9+pHSy6GytUbv+bppufwQ5l2HX//hTRIMRg0VrWdVb\n7PhX3op30VqkXIapA6+U5iP1Zht6qx2Ts/wdR34ssMACCyxwjku+I/34xz/mqaee4iMf0Xb1Ghsb\nmZmZueSBA4EAVVXnzBcqKys5evTonK/57Gc/y+OPP86PfvQjMpkM3/3udy94rC1btrBly5Y5t+Xz\n+Uuu4Z3gdjl57JH7OHN2hJ17DnL45BkevfcuGmur5+X484XZZKSxtpqhsQnK3S5+tXU7DTV+br9p\n7TVd1/PbdhIIhTl+uh8E2HPoOK0Nddy4ehlDYxP4K72MTU3z4quvYzYZ+ZOPP8SOPQc4dOI09TVV\n6HU6CpKE2XRlnDIFUSwZ5RjOuzay14C3Pcf3nnqWSCzHh+64B7PZyNlfvYSKwuI1y7jFbkWS8jRV\nVWgtrMUqpJxNa4Y6uQxyPoeczaAq0nktrOe+j4qKIAgIujcJSJ0esSgq3wl+t43acgexTI68rHB4\neBqHxUhzZRmGy7xQvVJk8hIvHj2LoqpEMzk2L2u+9IPeI5FUlj39k1Q4LKxqfnvTl8PD0yQyeRKZ\nPMsavBwZCXFmcga9TuRj67vIFeRSZSubl7h7WRO9ExGafM4rPqt3W3cd3TUeyu1mZpJZ3uiboNJp\nJZnVzncFWWbXmXEGpmN47BZyxW6NWDrHXYsbOD0Voa3STZ3HQUtlGRUOCyaDlveZyOZLofaXi6wo\nHBkJIiCwtN7LmakIyWyepQ1eus4T/0sbzrVlvhlFUa9otfV8bCYDtmJl/faeBm7rruPwcJCRcBwZ\nTezH0jmsnio8ViOpeIY6t407O6uZTmQptxovu0XcaTbyidUtfHd3P1/77TE+urKZzsr5a/cOndpH\nPj7Dkj/87xdtJb2SiHrDnIpeRefFM/REnZ51f/k/tTb4Qo5CJoWUTqKfFbCCQMNtDyHNViczKaRM\nsiQ48/EIZ7duectxW+/+FP5VG0kFRjjx038ptrLaioLShn/Frdj9jeRTcRJjA+dVJ+3ozVZE3e+1\nz94CCyzwe8wlz35GoxGj8dzF+jtpFwVt3unNvPlC5Pnnn+eBBx7gscce49ChQ3z+85/nueeeQ3zT\njvYjjzzCI488Mue22WD6+aCi3M3Z0QlkRcuTGpsMXHeCUBAEPnrfB8jl8zz57EsEgmECwTDLF3Xi\ncV+7GTKXw04gFMZmtbBz7yFCM1EmAkFiiQRHTvVhNBjwVWhtWdlcnkw2y+nBYQBGxqf4o4/cy3Qo\nQlfbxfPCrhSB0AwzUS1+4FTfIC6nnRp/JYs7W1i+qPMtr8O3Q5FlVKmAIuW1nfLiP1UqaLOQuQxy\nLq19nE2j5LPkcwkUqbixIQjMzkOqqCWzmvOF5F2dlQg6Hb88PIKKFgCfzUsYrlH8xaUQBBBFAUVW\nURWV/qkI1eV2rPPojDvLnv5JhkNxhkNxqsvtKIqK12HFqBeZjqdxWU2YDXoiqSy15Q6moinKrCZM\neh2ZvCb+JFnltdNaJc7rsNBd48HrtFDhsLCpx0EsnSOaylFmM5HI5MnkJXwuKyPhOIFomkW1Hqzv\nsTVzOpbmt8eHsZkM3LG4gYNnpwG4f2Urep1IPJPHfDaA12Ght+h+G05muK27jt7JCJ1+Nw1eF1aT\ngWSugChosRD7Bqe4oc3PvsEAwXiadn85t3XXXfbzfWp8hn0DmgFTIpvnVDFeIi8pSIoW83FTRw2y\nohJKZGipdJHMFhgJJ2j2ujgxFuLISJDWSjebeuovez3vFp0o0uF3MzaTQCcImAxajiOCSF2ZjU3d\ntRh1IoIgUOWcv4rT8loPzluN/HBvP9/ccYoOn4u7uqpp8zovW6jPzukZbNdv18CbEQQBndGsRX2c\nV43UmyzU33xxYztLhZ8bvvCtomBMaZXIbAq7vxEAUW/E1dBZmkHPxUeRMknK25Zh90NyfJCTW/7l\nLcedzZCMnj3F6GvPFucwbRjMtmLL63qM9jLyqTiFVFy7z2IrGf0ssMACC7xfuaQgXL16Nd/61rfI\nZrO8/vrr/Od//icbN2685IGrqqqYmpoqfR4IBN7SEvr000/zne98B4Dly5eTy+WIRCJ4PFevvSwa\nT7Dl2ZeQZIn66iqMRgPLF3Ve+oFXkUQqza9eehWA+++6jab6GsampvG4y3A6rm3L6H133crQ6ARV\nvgp2HzxKaCaKt9xNKqO5COYLBdYu68FVbBV98dU3qKn0Eo7G6elowe/z4vdduIIw3+w5dIxAaIYN\na1dQ5nRQW+WjvbmBYDiC3WblwLFTAHS2Nr5FDGZzOQqSfNF2YlGnA53ukpEdb0ZVlPMEZF4TlYUC\nilwoVh/TSLksci5FIZPm2PAU5SYVsQDVTjP6ZIhMqnghqRaNdYo79aLeoLmzznNVS1HVt62WxNI5\nBEEzvLl3RQuBWJoTYyG2nRihzGrWWh7nmQqHheFQHLNBzxunJwgnNdOVSqeVk+Nh7GYji2o97Omf\nxKjXsaGzlp2nx/np7tNsWlSPIAh47GZOTWhiK5jI0FNXwSsnx9jVN8mN7dW8emoMVYWbO2p4o0/b\nQFrR4OPQSLAUvzAbT/Ju6Z2cIZnNk8zmeePMRMnEyKgXmYqlURSVjYvqEEVtlvXU+Ax1Hjuj4SST\nkSRGnUiFw8ov9vejqirtfnfJeOjA2WmCcc0sZCKSnIdnG8znxZ1os4ya52gym+dsMeNxT/8U45EE\nkqwwGo4zGU2RyUucnpghU2xv7Q9EuK27bk6lMJOXMBt0VzzSxW42ct/KVhRVJVeQSWTzvJGI0OZx\nkM5L6M1GMvkCJ6eiVDktVDosHBmfwWEy0FX13me3Wyoc/Pe7lvLaQIDf9I7zP7efosZlZU2jlxW1\n5bit782AxWjXNgbz8Znf+YD5OSY7ZW99/7B4qui4/4kLPFLD2dDBsk//jdbOmj0nKmejQ1RZQi7k\nyMVnkLIppEwKVZFxty7BaC8jdGIPAy/+qHQ8UW9Eb7Gy9LEvY3Z5CJ8+SPj0oZJgnK1QetqXI+oN\nSFnt71FnslyT6KIFFlhggTdzSUH4uc99jqeffpr29na2bNnCLbfcwsMPP3zJAy9evJihoSFGR0ep\nrKzk+eef55/+6Z/mfI3f72fXrl18+MMfZmBggFwuR3l5+Xv/ad4DvQNDpXD6Zd0d3Ljq+gvnPdbb\nx/D4ZOnjm9esYGlXO1aLhVw+z3Nbd2Axm7n9prXoL8P04L1g0Otpa9J2+O+4eR0rF3fhsNtIpTNY\nzGay2Syv7j5AT0cLB4/3lsxlPv+ZP7zkWhOpNBOBIE111RgNl1dVmpwOse31vQAUCgUcdhtT0yFu\nv3kd1ZVeBobHOHxScyGdrbgePnkaSZJprKvmB08/SzaX54EPbKSrdf6qmYIoojOa0BkvfRG4/+hJ\njhwLAS4+dO89LGqqKzqy5jRznXxOC8cuGupImST51GwVUiwWIIvVx9lID71Rm8ksxnpc6uLk+FiI\n109P4C+zsXl501siT0bDCX595CwAm5c1kcgWQICcpM0JpYvVuDejqirbTowwHIqzpsXP4rp3F2K/\nqrmK+gondrOBp3afATRhqiv+PMlsvmQckpdkRmcSqKqKJKsMBKKMhOKMhOK0VbmZiqVor3IzFUsD\nKnlJZjiUKHU9TESTpW6CaCaHKAjIqnpZM2bNPhd9UxEsRj31FY6SIIxl8ozPaCYtB84G6A9EkWSV\nTYvqaK1y893txwEYCSdYXFcxpzOjzGYmmsrS7HPR4nMxMB1j2UXaN98trVVuQEAnCjT5XFS77aRy\nBSpdViajKbIFCa/Twkg4DmjP+ezSFFVlWb2PwyPTtFe554jB3X0THBkJUlVm494VLfN6sRxN5VBU\npRQfIskKzx0aZDqeZkNnLXcubuTb/zbEa0NB+iNJqpwWDDqR0UgKURBo8Trpm9bErstipNr13mci\nDTqR29r93NRSyf6REDsHAvziyDDPHBmmpcLByvoKltWW43iHFedsLMzI9mcQdHqs3quXR/l+RW+y\n4Ki++Hnc3boYd+u5/OHZ2A+dQasEutuW0ml3IRVbWQuZFFI2hd6svSay0RCRgWNImdS5LhBg/Re/\nDcDI9mcY3/MbEMRzotFsY+ljX0IQRIIn95IOjmstr2ZrKfbDUdNSWs+CkFxggQXmk0sKwm3btnH/\n/feXZgjf8YH1er785S/z6U9/GlmWefDBB2lra+PrX/86PT09bNq0iS9+8Yt86Utf4nvf+x6CIPC1\nr33tqp/kWhtq2XPwGIqqEJqJsu21PWxYuxLDPA/8Xw4NNX70ej0CmonLk8+9xMb1q3E67GzffZRT\n/doFeK3fR09H69sf7DIoSBJbnn2JyUCQD226meHxKU71D3LT6uWYjAb2HD7O4o5WOloa2XPoOM11\nNWx7Yy/JVJrtuw/Q3txAIpmiwl3GL37zMqIosunGNTy3dQfJdIZ7bt/Aq7v2Mx4I8oFb17N99wES\nyRQtDbU8cs87M5y5GHarBaPBQL5QQBRF9h89CcD23fvR6/VMTAXZuH4NjXV+ystcnOob5IWXXwOg\no6WRbE57Ux8em5xXQfhu0J9X6TMUq5HvpCI568oq57Ml8ShnM8XssjiFdAo5m0KKhikFQc7+Gb6p\n6nhmPISqKkxGkwxMRQmnsnT43ZTbLeQlmVAiUxIlJ8bCpWrRrKmMJiTmIskKmUKBgYAmgk6Ohd+1\nIATwFU1LNvXU0zsxQ1uVG4tBz4GhADVuOw0VTugDp8XI0noveUlBFATKzsua8zqtNFQ42dE7hstq\nxF9mw242ckObH4NeRFXhhlY/TouReCbPulY/yxokgonMZcU71JY7+KNbekqV10bAx3EAACAASURB\nVHKbGRUQBYHhYBxFVTEXZwEBRmcSTMXSVJXZiGfyeB0WDgxNU1vuoNxuZnmjT4tNkZRSVMbi+vmr\nxI+GE7xycgSDXofJoOONvgkKksJdSxpZ0eQjnMzQU+vBZTUyEkqwtsVPPJvjxFiY5Q0+JqIpDDoR\no15H78QMr50ep9ptI5bW/s6moilykox5ns7Dk5Ekzx4aRFXhziUNNHldRNM5AjFtk6BvKoIggNHu\nZiKR0dYQz9Lk0TobdKKAWT8r+AWM+vmZ2zXoRG5o8nFDk4/pRIYDo2EOjITZcvAsTx06S2elixV1\nFSytcb/FhEZVFWLDZ5g++hrTR99AEEU6HvhMqVK4wPwxW5GcxeL2lQxyLkTN2jupWXsnAHIhX6oy\nikVB6elcidHpLrW0zgpHQdBeV5H+owQO75xzTIPNybr/6xsAnHrqG0TPnkJvsZbEpMXjp/XuTwIQ\nPLlXiwQp3qc32zDYHJicV3fDfYEFFnj/IKgXGvY7j7/6q79i9+7drFq1is2bN3PTTTeh1197sTQ7\nQ7ht2zZqa2sv61iqqnLweG8pfmLj+tWsW7HkEo+6umRzOSanQ/zkly8C0NZUz/qVSzlzdphdB46i\n0+n41EP3UOW9cu22E4Eg33vqVwDUV1cxMqG1BLscdiRZJpXWLqQaavylimZHSyOnB4ao9Vdis1pI\nptLUVHrZe+TEnPsBWhvr6B8aBaC2ysfEdAhFUagoL+OJjz34rtaazeVIZ3KUl52bp4nGE0TjCXye\ncv5jyzPEkylW9HRy8LiW6VhfU0UuVyAQCtPd1szJvkEANt24hsnpEMlUmrs33kR52bW54FJVlZNn\nBukfHqV3YIjGWj8Pb77jXc06Xur453Ig31p1lNJJeofHeePMJD6bnrFYFlkFl1mP32GiN5ii1m3B\naDCSlRVafW5eGwggAB1+N+FkljqPA5/TxrYTw7htZlY3V/LSsWF0gkC53UIgnmZdS9W8ipdLIckK\n+wanmIql6PC7GQjESq2VD65pp8JxbV0LZ6trep3AztPjZPISqJSqbw+sbuPlEyPFnD+BP9ywCJPh\nynYK7OqbKGVMNnpdDBWFf5PXVdoE6PC7mYimiuY9PkbDCcLJDDXlDkKJTNEVVcDntDBdbGld01LF\n6ckITV4Xa1v987bek+NhdvaOAbCswUt9hQuv3cLWE8ME4mnqyh30TUXYf7yXP7h5BTM5iTafkyaP\ng/0jQVorXPhdFgZDCewmw7zOFb4ZVVWZiKXZPxrm4EiYcDqHXhRY5Hez3KPHnx4nMXSC6OBJCqkY\nOqMZ7+IbqLvpnrd1BV3g/YWqyEjZdFE0plCkAmWN2jhL4PBOklPDWoUyq91vtDnpfuS/AnD4O39L\nYmJwzvEcNS0se/zLABz9/j+QT0RKZjp6iw1HTUtJxIZO7UMQddp9xflJvcVeqpAusMAC1x/Vd1y6\ne/PtuKSy+4d/+AcKhQI7duzg2Wef5W//9m9Zv349X/3qVy/rG18vhCMxdu49OGcmanbe7XrCbDLh\n85RjMZvIZHMIgsD3n34WgNvWr6artYky55XNevN5ymmo8TM5HWLl4i4sFjOnB4bo6WwlkUxx9FQf\njbXVpSgMo9GA3WplUXsL5WVOdu49BECZ04EoioiCwOKOViYCQTKZLCt6OpFkmYmpIKuWLkKv09F3\ndoSVS7rf1TqTqTTf+ekvSGey3LnhBlYt6UZVVcqcjtJz9MTHHySdyWKzWpgMhglMh6j3V/Ha/sPa\nMdIZHrjrNgqSxOLOtjmV6xNnBsjl8ixd1PGWlskriSAILOpoYe+R48iyzMDwGLFEErdLE72RWByT\n0YjV8u7mGM8//qWqjtXrYSMg5fN88/tbSCaTlHtcTEbjGB1GAnmZBruVqakw+XyIDbV2JEXhRCBE\nJCMRCEfxO4zkMjmmshmOqgXyuTyIAs0VFdyzvAnhKj6nAHqdiNtm5uhIkOlYmrYqN6IoUum04rZd\nu0DtQ0PTnJoI01NbQbXbzvGxEPUeJ80+F7v7JxkJxxFFgWA8g9NiIpbOUW43Y5in6tXb0V3jYSqa\nQq8TqXXbmIqlUBSVRq+ToVBcy5FDIJHRKn6T0SSRYjD9TFJrYz01HqbJ56ShwsnM6SzVbjtL630s\nb5z/sPr2KjfhRIaCrNA3FeXwcJCWyjI6q8vRFc9Fsxh0ImVWI26riVf7JhmNpBiPZvjoyiZavVfe\nsEUQBGrKbNSU2djc7uPMicOMnDyE8toZMtkwg4BktGGt66Rt8Sq8XSsXgt9/BxFEHQarA4PVwZu3\nHyqX3UwlN1/0sYs/+UVtEy+rzZ5L2eSc14izro1MZLpUoczMBOZEJ/U//30K6cScY3oXraXzwT8D\n4NB3/gZRpy+KRa2ltayxC0/HClRVJdJ/9DwhaVtwcF1ggfcBl6wQzlIoFNi5cyc///nP2b9/P7t3\n777Sa3tb5qtC+ORzL5WqUvfcvoEyp4O66ut3ID+VzpBIpRmfmj5X0bxxDeuWL77EI68MsqKgE0VU\nVeXsyDg79x6kzOWkrameeCLJy2/sA6CjuZG+oREAHrjrNlxOB3arBbvNqlWmFAXdPJmfDI9N8uNn\nXgCgub6GmWicdDbLw5vvIJ3OMD0TYc3SnlJWYqEg8fMXXyaRTGExm4gmEty1YT1Ohw2jwYDFbOal\n7W8gqwot9XU8u3U7cO2e98MnT7N15x4a66r54K3r0esNnBkc5tmt2zEaDTz2kfuuShUzGk8wNDZB\nW2M9J/sG2XPoGEu62jly6gyJZApBEFi7fDEjo+OYDTr6h8eoKHNww6JWXnzjIGVWEzd31vLbg73o\nVIVNbRUY5DyoCqW21WIH6+zMjFCcdxR1egS9XovveI8XGtFUjucPD6KqKh3+cg4OBQC4tbuO9ir3\nNZ/R+fbLR1FVFYNOh9NqJJzIIAgCGxfVcWQ4iMWox6DTMTgdRScK3LW4iSq37arGkPxiXx/T8TRV\nLhv3rtRm/qZiWlWwxVfG7v5JArEUN7RVk84X6JuK0l3joc7jIFeQMehF4uk8DothXjZXxmeSmI06\nPHat6qgoKlXnBcFnCxLf33ESUCmzmUlm80iygsmgY3Wzn6/+73/njtvuIK+qmPQ6THod8WweURB4\n7Ia2OZmOhWL7rkEnMhROkJMU2nzOy4qnUFWVVGCUyMAxIgPHiY+eQZUlBJ0BZ307UmUrA/oq9sX0\npCUFq1HP6voKbmz2XdZM4wILnE82GixVJmfbXc2uCtyti1FVld6n/1fxviRSJo2UTVG1/Baa7/wo\ncj7LG1/7k7ccs37D/TTc+gCFTJKTW75+TjAWq5DlrUtw1DQjF3KkpkbQma1Fd1frgovrAgu8A654\nhXDHjh288MIL7NmzhzVr1vDwww/zL//yVrvm9yueMhf9jGIyGpicDhGciVDlq8BwHbTFXghZlnnm\nN6+QzeXobmvGYbOycnHXNVvP7EWcIAgc7e1jPBBkPBBkSVcbTrsNQRBQVRWP28WyRbcjywrP/OYV\nVODRe+/CbrNqlal5dMKsq65kRU8X4UiUWn8lgyPjAOw7fJwzZzVRmkimKHe5mAqGqPVXMjCsbQos\n7Wrn4w/czYkzA3znJy8hiiIrejo5drofAFmSL/xNryCBUJjX9h2mvrqK1UsX0dXSRHdbM2OTAb7x\nvS0Y9HoaarX2uny+wHR4Zo4gnInGOHzyNC0NdTTUzF8bXpnTwbJuzTF09dJFrF66CICaKi/7jpyg\nvsbPq7v2A+Cv9PLZxz+B3WpFr9exdM260nG6N8ydD1WkAkohjyJp2Y+zn2uRHSmkbBo5k9TaqdIp\nlEKeyUQGvajDazMWhaS2zyUUhaOW/3juf0EUGQrFSvl+oInCMquJ6jIbP9nVS0FS+OCyptJs4qVQ\nVZWdvePkZZlbu+ouO8i8yeticDpKk89FriARTmSwGPUcHJomktRcfGvcWsVbVlSsZv1Vz6ScSWVL\n/x84GyCRLbCmpYoql43RcIITYyFEUcCgF2kuK6PZp81ZJrN5rEYD246PMDgdxV9m596VLZe1Fs3w\naFzbiGjxs7t/ElDZ1NNAi8+FIAiYDXo2dNYwHIqztMHH62fGCScy2E1G+gMRjI5yrEYd+ZyE3WTg\n5pZKjk9GaK5wzBGDk/E0zx0fQycKrKmv4LVBbTMhK8ksrXl3c1qFdILI4HEiA8eJDByjkNRabq2+\nWqpX3467pQdnfUepXW8F8ICicGoqxr6REK8PBtjeP0WTx876Jh8r6yswXqfZpAu8PzCXeS/o3gra\ne33Xw599y+2ztQVRb2DpY18uCcnZ/511WjamKkkIgkguFiI1Naydz/PZomlOM9mZAEe++3dzji3q\nDbTd8zi+xTeQDk5wdusWrTJpPk9QdizH4vYhZdPk4jOl20WD8Zpv7i2wwPuBS6qeX/ziF2zevJmv\nfOUrc/IIf1e4bf1qGmqrCYTCbN99AACrxXLNKm6Xon94rJSdZzYZiSdTvLRjF3duuOGai9jGumpO\n9g1iMZsYHZ/CX+Xl8Ufup39ohFd3H4AD0N3ejCRromp0YmpeBcosoijygVvXA1pF9fTgMOlMlu72\nFvqHRlFUlUw2x6unNLGSyeaw26yk0xlkReGFl18rvbkpilJqb1WBZYs66WxtIpcvsKx7/sOfQ5Eo\nx3v7aWuqp6ZKMy347c49jIxPcnpgCLPZxK9ffg2dTkdLQy2KopDL56nyepAkCYfNRlvj3Fy3X7z4\nCoFQmP1HTvJ/fvoTV9wwqaGmmjODw4wHgjjtNuLJFPXVVe+4pflcwPU7i1Q5fLyXHS/vAFVlU3MP\nBh20+n2gFJBnL0iyaeRsGjmXQcqkUVGpEiUsQnEebzxAIJnTDFhySWKJNIgC/RNhvHbzO2pj3dU3\nyYtHNYOnfEHm7uXN72j9F+OOxQ3kCjWYDHoKssL4TAKvw8qx0SCRZBaP3UKH341BL+K2mdh6fAST\nXsddSxpLRjJXmo2L6jkzGcFtM3HgrCaKdKLAhs5aJqNJFFVFkVWGgnEmIynqPA6OjgQ5OR6m0mUr\nzj3CZDR12UH1s+2pqqoyk8yglZdhOBhnR+8YVqOe+1a24i+zU+9xYjMbuHdFC9PxNOORJIeHpjFY\nHbRVOCl3WvAXNwL0osBUPIPPbual3gkKskKlw4ysKMgKBJKZ0hpk5dINN6oiEx8bKFYBj5GcGAJU\n9BYbZc09lLcspqylB5PjrQZMs+hFkcXVbhZXu0nmCuwZDvHGYIAf7x/k2eOjfKCrhptaKi+rWrnA\nAu+GWdEliDqctRff3DE6yljyqb+ac5sin8u3NpV56fnY5yhkZ8WkVoG0FKNU5EKOXCJCKjiGlEkj\n57T5Y4unCovbR2y4l5Nbvn5uXaIOvcVG9yP/FWdtK9GhXqYOvnJOTBaNdzydKzBY7BQyKeR8Fr3Z\nis5oXhCTC/zecMmrhn/+539mfHyc/fv3s379erLZLJIkYbdff3N27xZZlvnhz59nIhCku/3cxZvT\nfm2z/S5EKBLllTf24bLbcbuc5PJ5srl8yWG0pspXqtZcK5Z1d9BSX8v2PQdLs3iPP3o/hvMiI8pd\nLlob65Bl5aqs12a18Pgj95c+d9pthCMxGmr9jE5Mkc3lsVktNNbV4C0v4+kXtgKauO1ub8ZiMnHb\nDatYtaQbRVHnmNRcCX72wjbCkSj7j53kkx/ezKmBoVLkhs1qIRAMI8kykiyXshRNJiOrlnRz0+rl\nTAXDJNMZkqk0Tz73EhazuSQADQb9VXlzO9V/lkMntAiP1Uu7WdHTXYryuBLEUikEUUe+IPGrnfux\nWy2El2gtpkNjE2xcv5pILMGR4TOsWryKtqY6zgycpb6inL+824hSyPODX23FFJpBURU8NY24ZgrI\nkoRDr3L27DB+p4mpRI5ETqbZY2X/WJTpZJ7VjR5Go1kGQimMRv1shyvyO+vEvySm4u9OUVT6pqKc\nmYqwobOWRbUVDASivHxyBFEU0esEosVq3XAoTmf11XETbPK6aPK6iKSyHB0JISsKkqyw9fgwtR47\nNW47ep3I6ckZEpk8NpOhJPoCsRS3dNXSOxGhrarsssQgwIpGH7KiYjHqWVpfgdVsQFFUsgWJgiQT\nk2T2Dk7ROz6DThTYvKyJo6MhFFWlq9qjtb4rMhVWI8enovQHE9hMenoD2gZcMldguuhAWukw43NY\n0IsC65u0ds28pNDjv7CIy8XCRAaOMTNwjOjgSe0iVhBw1rTQcOsDuFt6sPvf2/ys3WRgU7ufjW1V\nnAnGeeHEGE8eGmLvcIhPr2+nzPK7t5G7wO8W57f9602WOZEfb8ZR3cSKJ75S+lxVFKRcplRBt/sb\n6Xzoz4vVSc2UR8qlMdq096BCOkFifLC0UTjbTeKsa8VgsTN9ZCeDL/1EO7ggFCuNVpb+4ZcwOsoI\n9e4n0ncUXfH2WWFZ0b0aUaenkE6gKrI2N7nQ6rrA+4hLCsInn3ySLVu2EIvF2Lp1K1NTU/z1X/81\n3//+96/G+q4osUSKiYDmlDcTibNycTeSJNHR0nhtF3YBXnljH33FdscHPrCRwZExZrMBRFHE57k+\n7KQddhuG8/IFj57qIxiO0FxfQ5nTyboViy87U/ByqPVXUuvXTCv++GMPEgiG+fmLL3Oyb5CaSh8G\nvZ6CJOEtd3PHzefaGq+0Yc8sxlnxptPz1PNbiSWSmE1G1q9cQu/AMKqqUFvlI18osGxRB7X+Sn6z\n/Q1+/crr1NVU8dL2Xeh1OtqaG8hkc2SyOe64eS36nk7qq/1XJafS63Gj0+mQZZl8XmL3waOsW7Hk\nionCdcuXkM8XyObyHD2lZRDOROPFvxHYsecggWAYRVXZ+toejvX2MTIxhdVi5gO33cgrr+/D7amg\npr4eVVV5ubcfvd3D7Tes4qWdu1FVlZvblrJz+CCqoiPl8TGQy6LqDJyI6xgP50EVIC9xU4ObvCSx\nodpEJjRZLFLNtq8W4zt0BkS9vvjxO6vk9U7OlLIJfU4rrZVlRDNadU1RFMptFvS6OAadSLX76m9o\nuW1mHl7bTjov8eKRs+QlmZFwgo+sbWcmlWVnr9a2LSsq69qqOTQ0TbPPRWe1h87q+XHGNBn03NRx\nLoNvbYvWfTAVSzE2k8RmMqDV+VVkReXoSJChkObUWm4zU+9xsCMZYzSaZrSYWdlWNJERBYFmj4PJ\nWAZJUeisLJvjNNr1psgRuZAnPnK61AaaDmo/v9HhpqJ7Fe6WJZQ1dWOwzN/vShAEOnwu2r1O9o+G\n2XLgLN/YfpIv3rHkqrcSL7DA1UIQxTl/RyZnOd7uNRf9em/3arzdqwEtumV2FMFYrMiXtSym7R7L\nHDEpZdIls7XszDQzfUeQsprz6ywVXasAGN7+DJP7tI1lUW/QZiEtdlZ85qvajPXBV0lOjZSEpt5i\nw2B14OlYAUA+FUcQRfQm61U3WFvg95tLXo38+Mc/5qmnnirlEDY2NjIzM3PFF3Y1cLscLO1qZ2hs\ngkpvOQeOadl0vory0jzU9YKvopy+syNYzCb2HjrOeGAagI/e9wHcLudVEyzvhI3r1+B2OTGbTTy3\ndQcAVd4KHr13/TVe2VwcNquW7VfcITQY9Dz+6AOEo1Fa6i8vyuS98vDmOzg9OExTXTVPPb+1uC4D\nJ/oGicWTzERjpaiMn/7qN9gsZmKJJLFEknxBa7uRZJmqinJGJ6Ywm4x0tTZjt109w4kqr4fPfOIh\nItE4//nLXwOaA+onPrz5inw/k9FQEu+NtdVMh2dYtaSLp57fynRohrbGeixmM4MjYzTV1xCOaMIq\nny+wa/8RIrE4kVicJz7+IAeOngJAkiQmprXNIkEQSGSy2uyhDqxlHv7/9u48Pqry3h/455w5M5PJ\nvkASlhBZAqgJ4o6KIlCkigiylLaKdeF669VWSheLVqp40dZb6qXor5V61YLWpsoVKrhchSIuFWwV\nIwgCQiBAMiGZyewzZ845z++PMzlJSEIQkkwgn/frlRc5y5w8wzNnku883+f55hfG4Wnw4dwLLkCh\n14cdu7/CZReMwvjLL26q+xg3y3YYWhy6GrWKWGvhxOp/QR8MVQUkYQaUjQNkhgBsspk6azMDxz6p\ndiv9r6YhhC17q5GZ6sSwwmxkuZwYXdwXowb1gSRJSUsTzEp1Wl9H/WFkOO14ZesexOIaBuVlYHi/\nHAzum4U+Ga5Tqtn4dRVmpWHuWHOl4lAsjmhch1OxoaQwG1WeIIQQCERV7D/qgzMzFzHdMOvOyRLO\nH5iHsv45sNtk5KQ6MaRPBoQw02KbE0IgXFtlBoD7tsN3YDeEHodkU5A1aAQKRl+JnKFlSO07oMtH\n6SVJwsWJeYR//HA3drobMKqbRoyJTieSJFuBWaO0vgOQ1ndAu48ZePl1GHj5dQAAQ1OhRSPQoqHE\nNAcgv/QypPbtb6azRsPQYiEYum7d90H3QRzdsSUxOmkuTOXIyLYCwj1/ewaePZ8BAGxOF5SUNKQV\nDMS53/4RAKDqg/VQgw3N5k+mwpmVh+yzzLUk1KAPst0Bm8Np1bUkOhEdBoQOh6PF3EFN045z9ulF\nkiRMmWgu3bxz73589oU5utCTitI3GnfphSg5axCyMtKx8cOPcdhdixSnA4V9+1irZfYUdruCS0aX\nIq5peG/rJ/D5g11aH/FUuFKc+O70a7Fr737sqazC6jfe6dTafl9XerNFgr59w2Ts3ncAQ4uLsGXb\n5/h0+y6rPiNgLhZz7vAhqKp2o6BPHiaNvRQOu4LM9DRcen4ZLrvwvKQ8B8As3eJ02K0yKRndlIZd\nNnKY9f1ts2+w5ocahgF/MISsjHTUN/jw2Y4vMfSsItQcrUd1bR1ys7Pw1qYPoek6BhcNQE5WJiZc\nfhGyMzNhGAauuHg0igf0Q4MvgItHl0KWJYQjUatEzQ2Txlm/8GVFgawoUE5g9EcYRlPgGI/BiMeh\nx2PmvJlIIBFEhpDvjOPGETkABN7ZWw9djcOrRvGNQalIdxiINo5GypL5R4AsQ5Llpu8l2WxfW/s7\n+bV+/flD4PaFkepQ8MpW8z1VMwQuHpL81ZvTnHZcU3aWtf3dK0ZCCKA+EMFXbh8gBM7Jz8KlQwtg\nk6VWxeBlqSlw12IRePZsg3dvBbxf7UA8lFgMpu8A9L9oArKHliKreETSSkJU+8301tQe+PuM6Ewg\nKw440h1wpDdlv2QWDUNm0bB2HzPs2lsw7NpbIIQwPyiMhmHEVet4v4smIntIabPRyRDsrqYpWr4D\nu+A/uBu6Gm32M4cj+7YHAAAVK3+FSN0RM93VaQaM2UNLUTLlVgDAvrf/YqW0NgaVqX36IWOAOe8z\n5vfA5jDLTzGg7F06LDvx+OOPIzMzE2vWrMGDDz6IP//5zxg2bBh+9KMfdVcb29SZhekbfflVJXTD\nwNnDBvfoicSNNejy++T2qJHBtkRjMdR7fehf0LdH/59+9Onn2PjBVgDA1WMuwuUXJS+Yao8vEER6\nWioOVbvx3pZPcNbA/hh7yfmIaxoUm61H/v82+AOorfNgyKCB3ZKuejKisRj+9flOa1GpZJZxOR4h\nBIy4it1f7cN7W7fhrH59MPa8syEMPfFlmCuyJr6Epia+12DocYjmx3QNhq5BaBqEcczKuZJklfsw\nf3CLVjQdkyQzmGwWWB4bjH7p9qPaF8H5Z+UjN6Nnl0VoCMVw5y+W4OVf/gRoZ1EeXY3Bs2cbju7Y\nCu/ez2BocdhTM5A9pBQ5Q0uRPfgcODOTOxrnCcWw9vOD+FdVPS4YmIvbxpT0yPcGIjp5wtDNtNZo\nYlGdXHMqTO32j6AGvNYxPRpGat8BKBp7PQDgX7+/HzFffYuAMn/UFRgx/U4AwPtL5kHocQASlBQX\nbCmpKBx9FQZdNQ1CGNj9t/8xg0lnqlU2JL2wGGkFRRCGgZi/3lyQx+liQNnNurzsxE9+8hO88sor\nGD58OMrLyzFu3DgrffRM0xPnDrbFZrNh+JDiZDfjhKQ4ndZqmT3ZkEED8I9/mZ/kDz0rOemiHWkc\njSoe0A/FzdIvk7267PFkZ2b0+A8tUpxOFA/oZ6YPAyjq1/mF0TuDJEmwOZw4++yzcfbZnVdqRggB\noevNAku92bbRIuBsfp4Rj8Owgs44hKbB0FUYcTPgFHocw/ukYVi2E4YaRORoQ+MTafbDG2tMmvsl\nRYEk2yDLtkSKrg1S4/ddHNRkpzlbfFLfXKS+Boe3/h9qP/vAXCI/PQuFF1yNPudcgsyiYUn/w0cI\nga/qAvhwfy3+ebAeEoAp5w7ENSP7MxgkOgNJsg321AzYU1v+fs0vHdPOI0wX3vUogERAGYtAi4at\nuexCCAy77pamYDJm/uvMMjO8dDUG3/4vrFIhjQZdNR1pBUWIh/z4+Hc/aWxhIuU1FYPGTUPh6Kug\nBhqwf8NfEwFjKpQU83hW8Ui4cgugx1Wofo+1YM/J1himk9Ph/7Ysy/jWt77VIgicP3/+GVWLkCg/\nLxf33v5dAEhauiglz8B+BfjBbd8GALhSUpLcmu4lJQKxE/h1cEqEYZj1JRPBYotAUotDV2PQYxHo\nagR6LGr9q0XCMNQYmoYqE2mb1silgICALCcCSJsNUrPvG/efDDXQgMqNL8Nd8QEk2Ya+516KgvOu\nRFbxiKQv+KAbAvvrA/j8iBefHfagLhSDU5Fx5dACfGNEP+Sk9qypBETUc0iyDXZXeot0VEmSUHj+\nVe0+RnG6cMn8JwA0re6qR8OQHeZ7jexwouSGO8y5k41fsQic6eaCPVo0DN+BLxOBZlNpoOHT/g2u\n3AIEqytR8fwS6+c1LsozfOodyC05D8HqA6j6YJ0ZSDrTYEsElHkjLoAzMxfxSBCq32sFlJxH+fWc\n1F8A27Zt6+x2ECUdA8HerbcFgt1NkmXYnCk4mdCscRSzVeprIh1Wj6sw1KhZZzIWhRGLQI+r5nY8\nCCOuQkBAQrPRskRQKWCWKJFkG4SumYsyuFyo+/Jf2PfWizC0OAZcOhkDwxk3fQAAIABJREFUL7+u\nxVyhZAirGr6s9eHzI17sqG5ASNVgkySU5Gfim+cMxPkDc+HsoanZRHTmaFzdtfkKr4rThcLR7QeU\nqX3745J7lwJIrPCqxqBFw9aiPq7cAoyYfqc1cqlHI9BiTSvAatEQQu4qaDEzFbZxlde0gkFwZubC\ns+cz7F6zonkroaS4MOp7C5FWMAj1u7eh5pNNZipsYn6l4nSh8IJxUFLSEPXVIx70mQGl0wUlxdWr\nSod06UfCmzdvxpIlS2AYBmbPno0777yzxfFHH30UW7ZsAQBEo1HU19fjn//8Z1c2iYiITjONo5iy\nogBOV8cPOIYQIhFANp9HGYeh6+aoZSJ4tDldSMnOxd63X8LhLW8hvf9gnDV+NlKy8qBHo4jEEmlS\njfMohUiktNrMFWGtLxvkkxyVbC6sath71I89ia/DDWEIAKkOBaX9slHWPwcjC7JaLX5DRNSTSZJs\nBl3N3s8d6VnIH3VFu4/JHnwOLrr7V9a2ocWhxSLWNbKKR2LkrHusVFctGoEeC8OeZpYP0tUoYr56\nhGoTK8AmRin7lo6BkpIG97bNOPjumpbttCkY8+PfQUlJw5GP30Hdzn8lFuRxmSmxTjMlVpJkBGsO\nIh4OQHG6Tsugst3fIjt27GhzvxDihFYa1XUdixcvxnPPPYeCggLMmjULEyZMwLBhTasv3X///db3\nq1atwhdffPF12k5ERNQhSZLMwtX24/9itqdl4sinm3B4y1soueEOjJ73MCSbYgaRcRWGploproYe\nh66agaT5FTbTXKNRaOEgDE1t/OEAJLO8TSKIhGSuBispijlfUjEDyYgmsM8TahUA2mUJg/MycN25\nA1HSNxOD8zJalb4gIupNZMUOh9JU1zolKw8pWe2vaJ9fOqbFHMvGUUpbIuU1f9QVSO832EppbfzX\n5mjKHhKaiki9z0qXNXQdxVffCAA4vOUt1H72foufaXOm4vL7fg8A+OqtF+E/uLtpdDLFBWdWHorH\nmY/37tsBPRY2jyeCSnuiTmV3sD300EMPtXXgxz/+Md5///1WXx988AFycnIwY8aM4174s88+w+7d\nuzF37lzYbDb4/X7s378fF110UZvnP/bYY5g7dy4GDRp0Qg33+/1YuXIlpk2bhvz8fAghsGfPHkiS\nBJfLBcMwsGfPHsiyDJfLBV3XsXfvXthsNqSkpEDTNOzduxeKoiAlJQXxeBxfffUV7HY7nE4nVFVt\nsR2LxbBv3z44HA44nU5Eo1Hs27cPTqcTDocDkUgE+/fvR0pKChwOB8LhMPbv3w+XywW73Y5QKITK\nykqkpqbCbrcjGAyisrISaWlpUBQFgUAABw4cQHp6OhRFgd/vx4EDB5CRkWH9/x04cACZmZmw2Wzw\n+Xw4ePAgsrKyIMsyGhoacPDgQWRnZ0OWZXi9XlRVVSEnJweSJMHj8aCqqgq5ubmQJAn19fU4dOgQ\n8vLMm6eurq7F9tGjR3HkyBFru7a2FtXV1cjNNVfQc7vdcLvd1nZNTQ1qa2uRk2MO7VdXV6Ours7a\nPnLkCOrr65GdbdYfO3z4MLxer7V96NAhNDQ0ICvLTMmqqqqC3++3tg8ePIhAIIDMTPOTngMHDiAU\nClnblZWVCIfDyMgwb5z9+/cjGo1a2/v27UMsFkN6upkv/9VXXyEej1vbe/fuhaZpSEsz0x/27NkD\nwzCs7d27d0MIgdTUVGsbAFJTU/na42uPr70z5LX35ONLMPLQexh+4/dxwb//J47We1BTU4M+ffrC\nZneg3hdAvT+IgoHFcGRkoyGmIWDIGDiiDOn9ByNkz0Q8Ix+DL7oSOcNGIZSSi3hGXxSVXoD0/kPg\nl1xQUzJReNZwODJzcLDej8+O+PBJtR9/23EIr35+CP+qqsehhhD6pNgwIsuGywtd+O6o/riowAVH\nxAdFiyLdboOhxVFVU4uIqiIj8Vo5WF2LqKoiPdX8xPxAtRtqXEOay/yDpvJIDeJa0/b+wzXQdR2p\nie19h6thGAKpiVJGXx06AghhlTb66tARAIDL6YQQAvsOV0OCBJfTAcMwsO9wNWRJQorTAV03sP9I\nNWyyjBSHA5quY/+RGig2G5wOO+KahsojNbAnttW4hsrqpu2YGseBajccigKH3Y6oquJAtRtOux0O\nu4JITMXBGjdS7HbY7Qoi0RgO1tTC5XDArigIR6I46K6Fy+mEXbEhFImiyl2L1BQnFJsNwXAEVe6j\nSEtJgWKzIRAK41DtUaS7XLDZZGs7I9UFmyzDn9jOTEuFLMvwBUM4XFuHrLQ0yLKEhkAQh4/WITs9\nDZIkwesP4sjROuRkpJuvRX8AR47WIzexyJbH58eRuqbt+gY/auo9yEls13l9cHsakJNpvk8c9Tbg\nqLcB2YnFxWo9Dahr8Fnb7novPL4AsjLM10JNvQdefwBZiZI/1XUe+AJBZCa2jxythz8URmaiRu3h\n2joEjtkOhiPISGwfch9FKBpDRuK1VVVTi0gsZr3W+Nrja+90e+2luVyQFTv2H6mBYQhk5uQiNa8Q\nNXEbMvoPRuHwUcgZci72Ha4BAOQPORsFo69CpN85GDjmWgyfOBMDLr8O+4/UQJYk9CkahpwR5yOU\nNwR9R5yP/OGjkFY0AvWSWfNaq69GJOTHoXo/jJAPcU81Qj4PooUjYLfZUPnG86j84HV8vvV91H36\nLo7+6x2491Qg1u9sOO127P7rf2P33/8XFR9uhG/nVvj2bEND7RE02LPgcjiQO2IUTkW7I4SrVq06\npQu73W4UFjbVnSooKEBFRUWb5x4+fBiHDh3CmDFtr45UXl6O8vLyFvtUte3V4IiIiE5G1H0Q6Ref\nj9F3/PKUryXJMmwOB+yAVYrCaAjhq7og/nF4H3Z8VYkDR9wQABx2BSPPKsLo0lwM61+AMaPOgU0S\nqKzcDxgG+uf3gRFXEak8AElXkZadYS43X98AtaEBEUkHICHqrYOwK4ggDtluhx4Jw5DlxEquHFEk\nIupMzRcXS8npC3tmHrLt2eiTnYWs9DRouo4D1W4AQNHY61E45pvIqKlFfk42MtJSocY1VLlrAQAj\nZ/4Hwj4vDh4+gpwUBSmSjrhkQ+N6rhkDhkJXnAh6fDC0OCL11YhLCtJLOum5dFSH8GS98cYbeP/9\n97Fkibli0Jo1a/D555/jwQcfbHXuihUr4Ha72zzWnq6oQ0hERL3XOVk2vP/W/yH33Es65XoxVcXO\n/QdRsWc/Kvbsw/7D1RCiMQAchNJhZ+HcIcUYNmjAKZWPaVqhNQpdjSIeCkEL+xEP+RAPB6FFQgBE\nU41JmHMfZbuj6asT5jwSEVFydHkdwpNVWFiImpoaa9vtdiM/v+16dK+//joWLVrUVU0hIiLqkM3p\nQs7Qk0+7EULgYE0tPt7xJSp278Ouyipoug7FJmN4cRHmTB6PsqFnnXIA2KrdDqc1D6bNdhmGGSw2\nBo2xKNSQH1rQj3jYj3jAZ855bBxFTMxzlBU7ZCURMCpK0kttEBFR1+iygLCsrAyVlZWoqqpCQUEB\n1q9fj6VLl7Y6b9++ffD7/Tj//PO7qilEREQdsqelf+3USk3X8cVXB/DxF1/i4x1fotbTAAAY3L8Q\n1429BKOGD8E5g4uR4kzeSnOSLCcWMUht9xxDiycWxzFHGbVIGPFQA+JBP+LhAGKBBggYQKJ0hxAC\nsiw3jTAqZtBIRESnnw7fvYUQ+Nvf/oaqqircc889OHLkCOrq6jBq1PE/RVUUBYsWLcK8efOg6zpm\nzpyJkpISLFu2DKWlpZg4cSIAYP369bjuuus4v4GIiJJKVk6smLsQArsqq7Bx66f4R8UXCEdjcCgK\nRg0fgpkTr8SF5wy3Fmw4XZijgXZrifZjCSFajTLGQwFoYT/UoB/xkB9GPGaeLCVWVQUgKQpsigOy\nwwnZ7uDveiKiHqjDOYS//OUvIcsyPvroI7zxxhvw+Xy4/fbbsXr16u5qY5s4h5CIiDrTxSPOwscf\n/BNwth0YevwB/P3jbfj7x9tw5Gg9Uhx2jBl1DsaUnY1RJUOSOgrYExiaZgWLejxq1gIL+aEGfIgH\nGxCPBK0FboQhrIV3ZLsTNrsDEucxEhGdlC6fQ1hRUYFXX30V06dPBwBkZWUhHo+f0g8lIiLqcaS2\n58jV1HmwesN7ePdfFdB0HecMKcaNE8bi8vPOgaud4LE3khUFspIOe2p6m8eFYUCPRRJFo8OIh4KI\nBz1QAw2I+TwQht5i4ZvGdFSbI4XpqEREXajDd1hFUaDrupXm4fF4IHNiORERnWFkW8tfieFoFC+9\n+Xe89eHHkCUZEy89H1Ovugz9+7Zf/JjaJ8kyFFcaFFdaq2NCCBhqDFo0ZKajhoOIB71QA16oAT90\nNQJz/qKAgNlXNrsDsiMFst3OVFQiolPQYUA4d+5c3H333aivr8cTTzyBN998E/Pnz++OthEREXWb\nlLwC6/ud+w7giRdXo97nxzcuvQBzrrkauVltz6+jUydJEmzOFNicKW0eN7Q4tGgYeiwMLRqBGmhA\nPNAANeBFNOA1RxUltE5FdTggyUxFJSI6ng4DwhtuuAHnnnsuPvroIwgh8P/+3//D0KFDu6NtRERE\n3aYxcPj7P7fhqfK1KMjNwaM/uAMjiouS3DKSFTsc6VlAelarY8IwEsFixEpFVQMexIMNiDV4YBiJ\nLKfEigmy3Q6b3WkudMNUVCKijgPChoYG5OXlYcqUKda+eDwOu93epQ0jIiLqbh9t/xJP/mUNyoYN\nxk+/NwdprrZHrKjnkGQZ9tS25y4ePxXVB12NolUqqsNpzlvk3zlE1Et0GBDOmDED1dXVyMw0U2X8\nfj/69u2LvLw8PPLIIygtLe3yRhIREXW1eFzD8tXrUDJoIBbe8V04GRCc9k4mFVVtqEMs4IXui5gn\nCQCSBNlhLnDDNFQiOtN0GBCOHTsWkyZNwpVXXgkAeP/99/Hee+/h2muvxcMPP4yXX365yxtJRETU\n1Y56vBio61hw80wGg73E8VJRDS0OLRKEFgkjHg5C9dcj5qtHzFsPIQyr3qI5ZzEFsjMFssIFbojo\n9NNhQLh9+3YsXrzY2h47dix++9vfYuHChVBVtUsbR0RE1F0a/AGMv2AU8nNzkt0U6gFkxQ5HRg4c\nGS1fD0II6InSGVo0hJjfC9XnMdNQfZ6W17A7zBFKu5N1Fomox+owIMzOzsaKFSusOYSvv/46srKy\noOs6y08QEdEZQwiBiReOSnYzqIeTJKlZ+Yy+SO93lnXM0DRzVDEWRjwYgBrwmqOKPg+E0AFhzleU\nJBmyM8Waq8hRRSJKpg4Dwt/85jd46qmncPfdd0MIgQsvvBBLly6Fruv47//+7+5oIxERUZeTZRlD\nBhQmuxl0GpMVBY6MbDgysoE+TfuFENDVKLRwCFo0hHjQh5ivDqrPi6jfm1jSxlzeRrabcxVlhxMy\nRxWJqBt0GBDm5ubiwQcfbPNYcXFxpzeIiIgoGRx2O2zMfKEuIEkSFKcLitOFFpEiAEPXzVHFaAha\nJATVV4+Yvx6qvwGGFkfjKqiQZHMFVGcKZLuDo4pE1Gk6DAg9Hg/++Mc/Yu/evYjFYtb+lStXdnjx\nzZs3Y8mSJTAMA7Nnz8add97Z6pzXX38dTz75JCRJwsiRI7F06dKv+RSIiIhOnd3OmnTU/WSbDY70\nLHNxGwAoKrGO6bEotIg5qqgGfYlg0YOovxZWYUU0jSraHJyrSERfX4e//X7yk5/g2muvxaZNm/Dw\nww/j1VdfRW5ubocX1nUdixcvxnPPPYeCggLMmjULEyZMwLBhw6xzKisrsWLFCrz00kvIyspCfX39\nqT0bIiKik5Sb3XqlSaJkaiyZ4UQe0prtN3QdejSRfhoOmoFi41xFQ2+2AqotcQ0XZIUfeBBR206o\nMP3s2bOxcuVKXHLJJbjkkktw8803d3jhiooKFBcXo6ioCAAwZcoUbNiwoUVA+Ne//hU33XQTsrLM\nX8J5eXkn+zyIiIhOSXqqK9lNIDohss0GOS0T9rRMuPJgjSoKIaDHItaoYszvgeqtQ8zvhaZGzDRT\nIQBJSqSfuph+SkQdB4RK4hOl/Px8bNq0Cfn5+aipqenwwm63G4WFTZPzCwoKUFFR0eKcyspKAMC3\nv/1tGIaBe+65B1dddVWra5WXl6O8vLzFPpa8ICIiImoiSRKUlFQoKak4dgVUPa4m5iqGofp9UH11\niPnrEfXXtl7UxplIP5WZfkrUG3QYEN51110IBAK477778MgjjyAUCmHhwoUdXlgI0WrfsZ9A6bqO\nAwcOYNWqVaipqcFNN92EdevWITMzs8V5c+bMwZw5c1rsO3ToECZOnNhhO4iIiIh6O5vdAZs9F87M\nXKTlD7T2N6afxiPBRPqpx0w/9dZDCMM6T7Ip5jxFZwrTT4nOMB3e0ePHjwcAZGRkYNWqVSd84cLC\nwhYjiW63G/n5+S3OKSgowOjRo2G321FUVITBgwejsrISo0axDhQRERFRV2ueftqcEAJ6NNws/dQL\ntaEOUV89dDUGSZbMdW2s9FOufkp0uuowIKyqqsILL7yAw4cPQ9M0a/8f/vCH4z6urKwMlZWVqKqq\nQkFBAdavX99qBdFvfOMbWL9+PWbMmAGPx4PKykprziERERERJYckSVBcaVBc5nI26f0HW8d0NdaU\nfhrwQfUdRcznQdTfkDjDzBIz009dsDkcTD8l6sE6DAjvvvtuzJo1C+PHj4f8NeozKYqCRYsWYd68\nedB1HTNnzkRJSQmWLVuG0tJSTJw4EVdeeSU++OADXHfddbDZbPjZz36GnJycU3pCRERERNR1bA4n\nbA4nnFl5SCto+iDf0DSznmI0hHgwANVfb6WfGo3pp0JAttsTZTKYfkrUE0iircl+zcyePRsvv/xy\nd7XnhDXOIdywYQMGDhzY8QOIiIiO4+qrr8amV14BnM5kN4XojNKYfhoPB82aiv7EPMWGehhx1SyT\nAQFJkiE7E4Gi3c70U6IT1H/S7FN6fIcfy9xyyy148sknccUVV8DhcFj7zz333FP6wURERER05js2\n/RQDhljH9FjUmqeoBn2IeY+a5TL8HpjrnppkRyL91O6A9DUy1oioYx0GhLt378batWvx0UcfWZ/U\nSJKElStXdnnjiIiIiOjMZXOaK5c6kYe0ZvsNTUvMUzTTT2O+OjMF1VuXWMleAAJW+qnsTIFs4zxF\nopPRYUD49ttv45133mkxOkhERERE1FVkRYEjIxuOjGygb9N+YRjQomFoiTIZ8YAH0YY6qD4PdF2D\nhET6qSwnymS4INvtSXseRKeDDgPCkSNHIhAIIC8vrzvaQ0RERETUJkmWYU9Nhz01Ha5j/jTVYhFo\n4USZjIBZJqNxviIgQUBAaiyT4UiUyWD6KVHHAWF9fT2uvfZalJWVwd7sE5aOyk4QEREREXUXxemC\n4nQB6IP0fsXWfkOLmyOKkZbpp1HvUaDZ2oqy3WEGig4n00+pV+kwIPzBD37QHe0gIiIiIup0smKH\nIyMHjowcIL9pvzCMpnmK4SBUXz1i/nqofp+5+qncbFGbRLDImop0JuowILzkkku6ox1ERERERN1G\nkmXY0zJhT8s000+LSqxjeixq1lSMRRAPBaD66qEGvIh5PRDQAWHOVYQkw+ZwMAWVTmsdBoTbtm3D\nI488gn379iEej0PXdbhcLnzyySfd0T4iIiIiom7VtPppS0II6GoUWjgEPRaGGgxADXhar4AKM+CU\nHSmwOZxmsMi6itRDdRgQLl68GE888QTuvfderF69GmvWrMGBAwe6o21ERERERD2GJEnN5iqiRakM\nYRjQYxFzFdRoCGrAh3jAg5jPg6i/wSyrKASEEJAVuxkoOpyQFTuDRUqqDgNCACguLoau67DZbJg5\ncya+/e1vd3W7iIiIiIhOG5IsQ3GlQXGlAegL9Gs6ZpbLCEGLNAaLDVD9HvNfnweAZAaMhoBkVxLz\nFVMgKyf0pzrRKenwVeZyuaCqKs4++2w8/vjjyM/PRzgc7o62ERERERGd9sxyGRmwp2a0OmZoGrSo\nmYIaD4fMUUW/F6q/AboaabwCAMGVUKlLdBgQPv744xBCYNGiRXj++edRXV2N5cuXn9DFN2/ejCVL\nlsAwDMyePRt33nlni+P/+7//i8cffxwFBQUAgJtvvhmzZ88+iadBRERERHT6kRUFjvQsID2rVW3F\nxpIZWrR5sJhYCVVTISDBTDY1g0UrYOTIIn0NHb5aBgwYAI/HAwC45557TvjCuq5j8eLFeO6551BQ\nUIBZs2ZhwoQJGDZsWIvzrrvuOixatOhrNpuIiIiI6MzWomTGMXQ1lhhZjJg1Fv0eqEFfs5HFZmmo\nisI5i9SudgNCIQSefPJJvPDCCwAAwzBgs9lw8803n1BgWFFRgeLiYhQVFQEApkyZgg0bNrQKCImI\niIiI6OuxOZywOY5dB9VkaHFo0TD0WBhaJJwIFBvnLHobM1ABiJaroSp2ls7ohdoNCP/0pz/hk08+\nwSuvvGIFdVVVVXjooYfw/PPP49Zbbz3uhd1uNwoLC63tgoICVFRUtDrv//7v//Dxxx9j8ODBWLhw\nIfr169fqHCIiIiIiOjGyYrfSUI9l6LoVKOpqxFoNVQ36mpXOAKw6i3YHZIcTNocDksx5i2eidgPC\nNWvW4Nlnn0Vubq61r6ioCP/1X/+F22+/vcOAsOnF1OTY4enx48fj+uuvh8PhwEsvvYT77rsPK1eu\nbPW48vJylJeXt9inqupxfz4REREREbUk22yQmy9wc8xqqGbpjIhVZzEe9EINeBHzemAIvenveQHI\ndjsXuTkDtBsQaprWIhhslJubC03TOrxwYWEhampqrG232438/PwW5+TkNOVDf+tb38JvfvObNq81\nZ84czJkzp8W+Q4cOYeLEiR22g4iIiIiIOtaydMYxdRaFgJGYt6jFItDCIagBL9SAuciNrqmJJW7M\nQSFZsZsji3YnZLu9+58MnbB2A0L7cTrueMcalZWVobKyElVVVSgoKMD69euxdOnSFufU1tZaQeLG\njRsxdOjQE203ERERERF1E0mSYHOmwOZMQVszF/W4Cr0xWIyEEA94zfIZgQbovpblMyRJhuxwQLY7\nYbM7IHF0ManaDQh37dqFCy64oNV+IcQJpWsqioJFixZh3rx50HUdM2fORElJCZYtW4bS0lJMnDgR\nq1atwsaNG2Gz2ZCVlYXHHnvs1J4NERERERF1O5vdAZvd0eaKqIammfMWoxHoagTxUABqoAHxYANU\nvxeGpkFITSU0JEVJjCyao4tcFbVrSaKtyX6ngcaU0Q0bNmDgwIHJbg4REZ3mrr76amx65RXA2faq\nfURE1DWal9DQomHEg75EwOhDPBKEEKIpHVWSzHqLdqdZe5E1F9F/0qnVcef/IBERERERJc3xSmgc\nu9BNPBwyF7oJeqEG/DDiMQCNI4jNymjYHZDtDpbROAEMCImIiIiIqEc6dqGbYzXVXIxAj0UQC/qg\nBbxNZTRgAJCsuovNF7uRFIXpqGBASEREREREp6ljay6mNzsmhICuRqFHw9BjUcSj5mI3jemomi8M\nWGU0mtVdbPzqJemoveNZEhERERFRryJJEhSnC4rT1eZxQ9ehx8LQoxFosQjioSDiQS/iYR/iwSB0\nNQJAQrNqGpAVJbHYjRkwngkpqQwIiYiIiIio15FtNsipGbCnZrR53AwYzVRUXY1Ci4ShhX1QAz7E\nQ37EAg0tU1KFgGSzWSOMp0tJDQaERERERERExzADxnTYU9PbPG6lpCYCRj0agRryQwv6EQ/7zRqM\nWhySteiNAUg2yHY7bEpi0ZseMI+RASEREREREdHX1FFKKgDocTUxyhiFrkYRDwWhhX2Ih3yIhwLQ\nfJFmF4Q5ymjVYXRAVuxdnpbKgJCIiIiIiKgL2BKpo42L3hzL0HUYatQsqxGPQouGoYX8ibRUH2IB\nH4QwICBBksxRSVmWE2mpZtB4qhgQEhERERERJYFss0E+TlkNIQQMNQZdNRe+0WNRxEMBxEN+xIMN\niAd8p9wGBoREREREREQ9kCRJsDlTYHOmwJGR0yU/4/RfJ5WIiIiIiIhOCgNCIiIiIiKiXqpLA8LN\nmzdj8uTJmDRpElasWNHueW+++SZGjBiBzz//vCubQ0RERERERM10WUCo6zoWL16MZ555BuvXr8e6\ndeuwd+/eVucFg0GsWrUK5513Xlc1hYiIiIiIiNrQZQFhRUUFiouLUVRUBIfDgSlTpmDDhg2tzlu2\nbBnmzZsHp9PZVU0hIiIiIiKiNnTZKqNutxuFhYXWdkFBASoqKlqc88UXX6Cmpgbjx4/Hs88+2+61\nysvLUV5e3mKfqqqd22AiIiIiIqJepssCQiFEq32SJFnfG4aBxx57DI899liH15ozZw7mzJnTYt+h\nQ4cwceLEU28oERERERFRL9VlKaOFhYWoqamxtt1uN/Lz863tUCiE3bt345ZbbsGECROwbds23HXX\nXVxYhoiIiIiIqJt02QhhWVkZKisrUVVVhYKCAqxfvx5Lly61jmdkZGDLli3W9ty5c/Gzn/0MZWVl\nXdUkIiKidt1+++3JbgIREVG367KAUFEULFq0CPPmzYOu65g5cyZKSkqwbNkylJaWMt2TiIh6lFtu\nuQWoq0t2M4iIiLqVJNqa7HcaaJxDuGHDBgwcODDZzSEiojNBXR3AVa+JiOh0kpFxSg/v0sL0RERE\nRERE1HMxICQiIiIiIuqlGBASERERERH1UgwIiYiIiIiIeikGhERERERERL0UA0IiIiIiIqJeigEh\nERERERFRL8WAkIiIiIiIqJdiQEhERERERNRLMSAkIiIiIiLqpRgQEhERERER9VJdGhBu3rwZkydP\nxqRJk7BixYpWx1966SVMnToV06ZNw3e+8x3s3bu3K5tDREREREREzXRZQKjrOhYvXoxnnnkG69ev\nx7p161oFfFOnTsVrr72GtWvXYt68eXjssce6qjlERERERER0DKU0e0WFAAANaklEQVSrLlxRUYHi\n4mIUFRUBAKZMmYINGzZg2LBh1jnp6enW95FIBJIknfD1dV0HANTU1HRSi4mIqNfzegGHI9mtICIi\nOnFpaSgsLISinFxo12UBodvtRmFhobVdUFCAioqKVue9+OKLeO655xCPx/GnP/2pzWuVl5ejvLy8\nxb5QKAQAuOmmmzqx1URERERERKeXDRs2YODAgSf12C4LCIUQrfa1NQJ400034aabbsJrr72G3//+\n9/j1r3/d6pw5c+Zgzpw5LfZFo1Fs374dffv2hc1m65Q2f//738cf/vCHTrkWdR72S8/EfumZ2C89\nE/ulZ2K/9Fzsm56J/dIzff/7328xEPd1dVlAWFhY2CKd0+12Iz8/v93zp0yZgoceeuiEr5+SkoKL\nLrroVJrYisPhOOnImroO+6VnYr/0TOyXnon90jOxX3ou9k3PxH7pmRwOx0mniwJduKhMWVkZKisr\nUVVVBVVVsX79ekyYMKHFOZWVldb3mzZtQnFxcVc1h4iIiIiIiI7RZSOEiqJg0aJFmDdvHnRdx8yZ\nM1FSUoJly5ahtLQUEydOxAsvvIB//OMfUBQFmZmZbaaLEhERERERUdfosoAQAMaNG4dx48a12Hfv\nvfda3//iF7/oyh9PREREREREx2F76OtM3OsFSktLk90EagP7pWdiv/RM7Jeeif3SM7Ffei72Tc/E\nfumZTqVfJNHWcqBERERERER0xuuyRWWIiIiIiIioZ2NASERERERE1EsxICQiIiIiIuqlGBAmbN68\nGZMnT8akSZOwYsWKZDenV5swYQKmTp2KadOmYcaMGQCAhoYG3Hbbbbjmmmtw2223wefzJbmVZ76F\nCxfisssuw/XXX2/ta68fhBD4z//8T0yaNAlTp07Fjh07ktXsM15b/bJ8+XJceeWVmDZtGqZNm4Z3\n333XOvb0009j0qRJmDx5Mt57771kNLlXqK6uxty5c3HttddiypQp+NOf/gSA90yytdcvvGeSKxaL\nYdasWbjhhhswZcoU/O53vwMAVFVVYfbs2bjmmmswf/58qKoKAFBVFfPnz8ekSZMwe/ZsHDp0KJnN\nP2O11y8///nPMWHCBOt+2blzJwC+j3U3Xdcxffp0/Pu//zuATr5fBAlN08TEiRPFwYMHRSwWE1On\nThV79uxJdrN6rfHjx4v6+voW+37961+Lp59+WgghxNNPPy0ef/zxZDStV9m6davYvn27mDJlirWv\nvX7YtGmTuOOOO4RhGOLTTz8Vs2bNSkqbe4O2+uV3v/udeOaZZ1qdu2fPHjF16lQRi8XEwYMHxcSJ\nE4Wmad3Z3F7D7XaL7du3CyGECAQC4pprrhF79uzhPZNk7fUL75nkMgxDBINBIYQQqqqKWbNmiU8/\n/VT88Ic/FOvWrRNCCPHggw+KF198UQghxAsvvCAefPBBIYQQ69atE/fee29yGn6Ga69f7rvvPvHG\nG2+0Op/vY93r2WefFQsWLBB33nmnEEJ06v3CEUIAFRUVKC4uRlFRERwOB6ZMmYINGzYku1nUzIYN\nGzB9+nQAwPTp0/HOO+8kuUVnvosvvhhZWVkt9rXXD437JUnC6NGj4ff7UVtb2+1t7g3a6pf2bNiw\nAVOmTIHD4UBRURGKi4tRUVHRxS3snfLz83HuuecCANLT0zFkyBC43W7eM0nWXr+0h/dM95AkCWlp\naQAATdOgaRokScJHH32EyZMnAwBuvPFG62+xjRs34sYbbwQATJ48Gf/4xz8guEh+p2uvX9rD97Hu\nU1NTg02bNmHWrFkAzNHZzrxfGBACcLvdKCwstLYLCgqO+wuDut4dd9yBGTNmoLy8HABQX1+P/Px8\nAOYveI/Hk8zm9Vrt9cOx91BhYSHvoW724osvYurUqVi4cKGVlsj3tuQ4dOgQdu7cifPOO4/3TA/S\nvF8A3jPJpus6pk2bhssvvxyXX345ioqKkJmZCUVRALS8J9xuN/r16wcAUBQFGRkZ8Hq9SWv7mezY\nfmm8X5544glMnToVjz76qJWayPex7vPoo4/ipz/9KWTZDN28Xm+n3i8MCIE2o+bjfSJCXeull17C\nq6++ij/+8Y948cUX8fHHHye7SdQB3kPJ9Z3vfAdvv/021q5di/z8fPzqV78CwH5JhlAohB/+8Ie4\n//77kZ6e3u557JvudWy/8J5JPpvNhrVr1+Ldd99FRUUF9u3b1+qcxv979kv3ObZfdu/ejQULFuDN\nN9/E6tWr4fP5rLU22C/d4+9//ztyc3M7LDx/KvcLA0KYUXVNTY217Xa7rU90qfsVFBQAAPLy8jBp\n0iRUVFQgLy/PSkOora1Fbm5uMpvYa7XXD8feQzU1NbyHulGfPn1gs9kgyzJmz56Nzz//HADf27pb\nPB7HD3/4Q0ydOhXXXHMNAN4zPUFb/cJ7pufIzMzEpZdeim3btsHv90PTNAAt74nCwkJUV1cDMFMZ\nA4EAsrOzk9bm3qCxX9577z3k5+dDkiQ4HA7MmDGj3fuF72Nd45NPPsHGjRsxYcIELFiwAB999BGW\nLFnSqfcLA0IAZWVlqKysRFVVFVRVxfr16zFhwoRkN6tXCofDCAaD1vcffPABSkpKMGHCBKxZswYA\nsGbNGkycODGZzey12uuHxv1CCGzbtg0ZGRn8pdCNms/ZeOedd1BSUgLA7Jf169dDVVVUVVWhsrIS\no0aNSlYzz2hCCDzwwAMYMmQIbrvtNms/75nkaq9feM8kl8fjgd/vBwBEo1F8+OGHGDp0KC699FK8\n9dZbAIBXX33V+ltswoQJePXVVwEAb731FsaMGcORqC7QVr8MGTLEul+EEK3uF76Pdb0f//jH2Lx5\nMzZu3Ijf/va3GDNmDJYuXdqp94skOCsXAPDuu+/i0Ucfha7rmDlzJu66665kN6lXqqqqwt133w3A\nzGO//vrrcdddd8Hr9WL+/Pmorq5Gv379sGzZMn462MUWLFiArVu3wuv1Ii8vDz/4wQ/wjW98o81+\nEEJg8eLFeO+99+ByufDoo4+irKws2U/hjNRWv2zduhW7du0CAAwYMACLFy+2fin//ve/x+rVq2Gz\n2XD//fdj3LhxyWz+Geuf//wnbrrpJgwfPtya47FgwQKMGjWK90wStdcv69at4z2TRLt27cLPf/5z\n6LoOIQS++c1v4p577kFVVRV+9KMfwefz4eyzz8ZvfvMbOBwOxGIx/PSnP8XOnTuRlZWFJ554AkVF\nRcl+Gmec9vrllltugdfrhRACI0eOxMMPP4y0tDS+jyXBli1b8Oyzz+Lpp5/u1PuFASEREREREVEv\nxZRRIiIiIiKiXooBIRERERERUS/FgJCIiIiIiKiXYkBIRERERETUSzEgJCIiIiIi6qWUZDeAiIio\ns3m9Xtx6660AgLq6OsiybBWFd7lc+Mtf/tLpP/OLL77Aiy++iCVLlmD58uVITU3FHXfccVLX+vWv\nf42rrroKl112WSe3koiIqCUGhEREdMbJycnB2rVrAeCUg7MT9Yc//AH/8R//ccLnCyEghLDq4zV3\n880348EHH2RASEREXY4BIRER9Srnn38+Pv30U2zZsgXLly9HXl4edu3ahUmTJmH48OFYuXIlYrEY\nnnrqKQwaNAgejwe//OUvceTIEQDA/fffjwsvvLDFNYPBIL788kuMHDnS2rd3717MnTsXR44cwfe+\n9z3ccsstOHToEP7t3/4Nl156KbZt24annnoKy5cvx/bt2yFJEmbOnIlbb70VAwYMQENDA44ePYq+\nfft26/8PERH1LpxDSEREvdauXbvwwAMP4LXXXsPatWtRWVmJV155BbNmzcKqVasAAEuWLMH3vvc9\nrF69GsuXL8cvfvGLVtfZvn07hg8f3mLf/v378T//8z94+eWX8dRTTyEej1v7p0+fjjVr1sDr9cLt\ndmPdunV47bXXMGPGDOvx55xzDj755JMufPZEREQcISQiol6srKwM+fn5AIBBgwbhiiuuAAAMHz4c\nW7ZsAQB8+OGH2Lt3r/WYYDCIYDCI9PR0a9/Ro0eRk5PT4trjxo2Dw+FAbm4ucnNzUV9fDwDo378/\nRo8eDQAoKipCVVUVHnnkEYwbNw5jx461Hp+Xl4fa2toueNZERERNGBASEVGv5XA4rO9lWba2ZVmG\nrusAAMMwUF5ejpSUlHavk5KSAlVV2722zWaDpmkAgNTUVGt/VlYW1q5di/fffx9//vOf8cYbb+Cx\nxx4DAMRiseP+TCIios7AlFEiIqLjGDt2LF544QVre+fOna3OGTJkCA4cOPC1r+3xeCCEwOTJk3Hv\nvffiiy++sI5VVlaipKTk5BpNRER0gjhCSEREdBwPPPAAFi9ejKlTp0LXdVx00UVYvHhxi3OGDh3a\nZippR2pra7Fw4UIYhgEAWLBgAQAgHo/jwIEDKC0t7bwnQkRE1AZJCCGS3QgiIqLT3fPPP4+0tDTM\nnj37lK/19ttvY8eOHZg/f34ntIyIiKh9TBklIiLqBN/5zndgt9s75VqapuH222/vlGsREREdD0cI\niYiIiIiIeimOEBIREREREfVSDAiJiIiIiIh6KQaEREREREREvRQDQiIiIiIiol6KASEREREREVEv\n9f8BslUAUfucVdUAAAAASUVORK5CYII=\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x7f0a39707668>",
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA3AAAADcCAYAAAAx3EPfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIUQn8f8BndVuTf2KJhEAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "This worked quite well. Future versions should truly use a mixture model to capture the underlying bi-modal distribution of the LED damage states, which should reduce the need for such heavy-tailed models and prevent the upper-end of the uncertainty bound from completely flattening like it is in the above models. "
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.2",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"varInspector": {
"window_display": false,
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"library": "var_list.py",
"delete_cmd_prefix": "del ",
"delete_cmd_postfix": "",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"library": "var_list.r",
"delete_cmd_prefix": "rm(",
"delete_cmd_postfix": ") ",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
]
},
"gist": {
"id": "e037300cfd2019a342a87d0381e81ece",
"data": {
"description": "GridSearch_and_ParticleFilter",
"public": true
}
},
"hide_input": false,
"latex_envs": {
"eqNumInitial": 1,
"eqLabelWithNumbers": false,
"current_citInitial": 1,
"cite_by": "apalike",
"bibliofile": "biblio.bib",
"LaTeX_envs_menu_present": true,
"labels_anchors": false,
"latex_user_defs": false,
"user_envs_cfg": false,
"report_style_numbering": false,
"autocomplete": true,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
}
},
"_draft": {
"nbviewer_url": "https://gist.github.com/e037300cfd2019a342a87d0381e81ece"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment