diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb index ef8ff13ca13be1c45b5c5b583cc87caca1bad51d..45a6eb545bcbacb97323e2cddc7d2a727886d38b 100644 --- a/module3/exo3/exercice.ipynb +++ b/module3/exo3/exercice.ipynb @@ -18,7 +18,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -31,7 +31,8 @@ "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", - "import pandas as pd" + "import pandas as pd\n", + "from sklearn.linear_model import LinearRegression" ] }, { @@ -50,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -73,6 +74,8 @@ }, "source": [ "# Facultatif : suppression des fichiers pour forcer le re-téléchargement\n", + "# Changer cette cellule en \"Code\"\n", + "\n", "for filename in filenames:\n", " try:\n", " os.remove(filename)\n", @@ -82,7 +85,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -136,7 +139,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -611,7 +614,7 @@ "[44036 rows x 3 columns]" ] }, - "execution_count": 61, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -673,16 +676,16 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 65, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, @@ -714,16 +717,16 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 66, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, @@ -754,16 +757,16 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 69, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, @@ -802,16 +805,16 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 70, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, @@ -842,7 +845,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -851,7 +854,7 @@ "(0, 100)" ] }, - "execution_count": 71, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, @@ -888,16 +891,16 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 76, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, @@ -935,7 +938,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -944,7 +947,7 @@ "[]" ] }, - "execution_count": 95, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, @@ -980,7 +983,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -1011,10 +1014,1073 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "def linreg(dataset):\n", + " X = np.array(dataset[\"msgsize\"])\n", + " Y = np.array(dataset[\"time\"])\n", + " \n", + " X = X.reshape(len(X),1) # On utilise une matrice car c'est requis par sklearn\n", + " Y = Y.reshape(len(X),1)\n", + " \n", + " # Régression linéaire : on trouve a et b tels que T = a*S + b\n", + " lm = LinearRegression()\n", + " fit = lm.fit(X,Y)\n", + " rsquare = lm.score(X,Y)\n", + " return fit, rsquare\n", + "\n", + "lreg_p, rsquare_p = linreg(petits_msg)\n", + "lreg_g, rsquare_g = linreg(gros_msg)\n", + "\n", + "# Estimation de la latence et de la capacité\n", + "# On a L = b et C = 1/a\n", + "lat_p = float(lreg_p.intercept_)\n", + "cap_p = 1/float(lreg_p.coef_)\n", + "\n", + "lat_g = float(lreg_g.intercept_)\n", + "cap_g = 1/float(lreg_g.coef_)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Petits messages\n", + "Latence:3.275674199393943 ; capacité:3064.5146168986353 ; R²=0.0004513532467899095\n", + "Gros messages\n", + "Latence:5.289832573707132 ; capacité:387.76039978488814 ; R²=0.00035615827070534234\n" + ] + } + ], + "source": [ + "print(\"Petits messages\")\n", + "print(f\"Latence:{lat_p} ; capacité:{cap_p} ; R²={rsquare_p}\")\n", + "print(\"Gros messages\")\n", + "print(f\"Latence:{lat_g} ; capacité:{cap_g} ; R²={rsquare_g}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On constate que le coefficient de régression R² est très faible, ce qui signifie que la corrélation n'est pas significative. Affichons cependant le résultat de la régression." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0, 110)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1)\n", + "# La même figure qu'avant : durée de réponse en fonction de la taille du message\n", + "# Petits messages en bleu pâle\n", + "petits_msg.plot('msgsize','time',ax=ax, linewidth=0,marker='o',color='#aaaaff05')\n", + "# Gros messages en rouge pâle\n", + "gros_msg.plot('msgsize','time',ax=ax, linewidth=0,marker='o',color='#ffaaaa11')\n", + "\n", + "# Résultat de la régression\n", + "# Petits messages\n", + "xx_p = np.linspace(1,1480)\n", + "yy_p = lat_p + xx_p/cap_p\n", + "plt.plot(xx_p, yy_p, color=\"#0000ff\")\n", + "\n", + "# Gros messages\n", + "xx_g = np.linspace(1481,2000)\n", + "yy_g = lat_g + xx_g/cap_g\n", + "plt.plot(xx_g, yy_g, color=\"#ff0000\")\n", + "\n", + "plt.ylim((0,110))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On voit que cette régression ne correspond pas vraiment à une durée réelle : elle donne un temps supérieur à celui de la plupart des messages, mais qui tente de prendre en compte la moyenne générale." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 4. Caractérisation du plus petit temps de transmission\n", + "\n", + "La régression linéaire sur l'ensemble des données n'étant pas pertinente, on choisit d'étudier le plus petit temps de transmission pour un message d'une taille donnée." + ] + }, + { + "cell_type": "code", + "execution_count": 16, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "# Extraction des plus petits temps de transmission à taille de message donnée\n", + "\n", + "tmins = []\n", + "sizes = []\n", + "for size, subdata in data0.groupby(\"msgsize\"):\n", + " tmin = min(subdata['time'])\n", + " tmins.append(tmin)\n", + " sizes.append(size)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "shorttimes = pd.DataFrame({\"msgsize\":sizes, \"time\":tmins})\n", + "\n", + "shorttimes.plot(\"msgsize\",\"time\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On observe quelque chose d'à peu près linéaire, en deux morceaux : c'est prometteur ! Séparons en deux et effectuons la régression linéaire." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "shortt_p = shorttimes[shorttimes['msgsize']<=1480]\n", + "shortt_g = shorttimes[shorttimes['msgsize']>1480]\n", + "\n", + "fig,ax = plt.subplots()\n", + "shortt_p.plot(\"msgsize\",\"time\",color=\"#2255ff\",ax=ax)\n", + "shortt_g.plot(\"msgsize\",\"time\",color=\"#ff5522\",ax=ax)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Petits messages\n", + "Latence:1.0333934773971378 ; capacité:4217.8932227104215 ; R²=0.9401281379667491\n", + "Gros messages\n", + "Latence:1.7432379013400792 ; capacité:4133.823644047976 ; R²=0.5818125259942575\n" + ] + } + ], + "source": [ + "\n", + "lreg_p, rsquare_p = linreg(shortt_p)\n", + "lreg_g, rsquare_g = linreg(shortt_g)\n", + "\n", + "# Estimation de la latence et de la capacité\n", + "# On a L = b et C = 1/a\n", + "lat_p = float(lreg_p.intercept_)\n", + "cap_p = 1/float(lreg_p.coef_)\n", + "\n", + "lat_g = float(lreg_g.intercept_)\n", + "cap_g = 1/float(lreg_g.coef_)\n", + "print(\"Petits messages\")\n", + "print(f\"Latence:{lat_p} ; capacité:{cap_p} ; R²={rsquare_p}\")\n", + "print(\"Gros messages\")\n", + "print(f\"Latence:{lat_g} ; capacité:{cap_g} ; R²={rsquare_g}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Cette fois les coefficients de régression sont cohérents !\n", + "Superposons le résultat de la régression linéaire au graphe précédent." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1)\n", + "# La même figure qu'avant : durée de réponse en fonction de la taille du message\n", + "# Petits messages en bleu pâle\n", + "shortt_p.plot('msgsize','time',ax=ax,color='#aaaaff')\n", + "# Gros messages en rouge pâle\n", + "shortt_g.plot('msgsize','time',ax=ax,color='#ffaaaa')\n", + "\n", + "# Résultat de la régression\n", + "# Petits messages\n", + "xx_p = np.linspace(1,1480)\n", + "yy_p = lat_p + xx_p/cap_p\n", + "plt.plot(xx_p, yy_p, color=\"#0000ff\")\n", + "\n", + "# Gros messages\n", + "xx_g = np.linspace(1481,2000)\n", + "yy_g = lat_g + xx_g/cap_g\n", + "plt.plot(xx_g, yy_g, color=\"#ff0000\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 5. Travail sur le jeu de données de stackoverflow" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Effectuons la même analyse sur les données de stackoverflow." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6824 lignes lues avec succès (0.91% d'échecs)\n" + ] + } + ], + "source": [ + "data0 = extract_data(filenames[1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le jeu de données est de taille plus réduite que le précédent, certainement pour des raisons pratiques (l'échange de données avec un serveur distant prend plus de temps)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Evolution en temps" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sequence = data0.set_index(\"timestamp\").sort_index()\n", + "\n", + "sequence['time'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On observe que les temps de transmission sont plus élevés (110 à 170 ms), et semblent plus instables que dans le cas du réseau local." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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F7enAEvnh2PpRMHRTJzmqjTH0NSBIhsYryx/nvZ77wJCR7xRHOXTjNUROplHEIzcB8+jrI0e1MYa+AsJwzYPau6iUfMY8qjpDpkcfDkNf6dWoa3plof0htfTG0FdAGCZM7djT57s99MYwzw0XZY/eSyJhJkz58VZXL5t3lVf/p9A4VlibVjlLCRpschnLID31L/7DC40WoSbkO8NBOv/Vxs+jD7qhr/f1mHnlQwCs+cGpRR1f0nrDIW1axqOvgDB49LkIuy0Mu/zl0i9j9LX+/rQCQgWOrakktcMYekMoyRd6ilIaaSa+WTcBt/QVx+hrfD297SWqbccY+grI1STC0FbCIGM+8sl/02OreWrV5voJU0e+cdfLdPcleGLFZv7v8dVAKo++L5Hk8rsXsWlHdwMlrA5bPDH2WjfVtGUoCxwb1rCgMfSVkPOih7MxhIl899uSN3dw3k3z6idMHVm8fgd3L1jHR2+ex8vrtgOpGP3cZZ3c+vRrfOvuRY0UMYtybOPV/1xa0edLIX0tiWgOxhpDXwFh9ujDjjnFKZzAjRN2SESgHPX2tGyx2l5tv9nGxRwbJoyhrwE98SQ98UThAxtISNurS1i70NUgMyYvIqgqu3riAHT3Ba3tlX6t9vR6VwyrpiwWyaTSZZ8vvxr/uQhrWrIx9BWQqwGedt0TzPzuQ/UVpp9R6OYfMSh3dcuwk5lOKQK3PLmGL9+xEIAnVoZ/fML7sKqFaf3FnBUcesUDbNvdmzYAe/9Lb+b9XFj9C2PoKyDf0313b9C8qnTC7hEX8qyibeiz39//cn4D1UjKaWpNHiVr0VTvWbAegC1d6Yb+n4s25P1cWO8aY+grIOS2MtSowsDWppz7o2zoM7MpYyKRSwtsbU6ZplqHS7zfvqM7XvzBIcIY+goI6TUHwim7qnLzE6vZtLMbBUZ3tOU8dsTA6Br6zNDNPxdtCHTZh3JEa2tOPcRr/Qxbv22P+zpXyRBXllDeOUUYehG5RUQ2icgiz7YrReQlEVkgIg+KyHjPvstEZKWILBORk2oluKH/sXTDTq68bwlf/vNCVJUpowaxz8iBvse2t0TXh/Hz3rsDHioslSbP5au1ob9g9nz3tZNE0ZyjyH9YO07F3A2zgZMztl2jqtNVdQZwH3A5gIgcApwDHGp/5gYRyd2/DjlhvehhxRmg29kTR4FBbc088MVjfI+N8qXpi2drl+lpBmkMphxR6pki6i2A5vSW2lv8zVZwzmppFDT0qvoYsDVj2w7P20Gk9D8DuF1Ve1R1NbASOKJKsgaOsHbjIJwPKae2S3NMQMm73EYY9SuWvmS2FUwkMw19vaSpDQmPjrW+z7w9JGcQuK3Z3zQG6QFaCmVXrxSRq4CPA9uB4+zNE4BnPIettbdFk3Be89DiVGtsiglK/hovURuc9NIXzzb0mTH6pCqxgKw8VY6hTnhz22s9M9bz/f3Wo8+Fqn5TVScBfwQ+a2/2a1m+50ZELhSR+SIyv7Ozs1wxGkpYL7pF+KT3evSqmnet1PBpVzxxn5HXeIaXH+TB2WJI+PRaaoXXKYjZFrE1p0dfD4mqTzVGrP4E/If9ei0wybNvIrDe70Oq+htVnaWqs0aPHl0FMQz5mD5xaKNFqBivR5+0Qzc5nfqQ3pDF0OsTwM60i0Hq0ZQjStzj0tdaFe9DsUnyh27CSlnaiMgBnrcfBJwKRPcA54hIm4hMAQ4Anq1MxOASpnhdU4b7GyLRXeK2gWtpiqFoPw7dZOsWhhh9KdWUvdevFjH6XN/otKm2HKEbCNd971AwRi8itwHHAqNEZC1wBXCKiEwFksBrwMUAqrpYRO4AlgBx4FJVjVbel4cwXe+mgNcsL4a0GL3j0eeIQ4fp2pSKX1gj88EWpAddOZJ4w1P1XRzc+rF8Hr1q+BZ7KWjoVfVcn8035zn+KuCqSoQKC8G5lQoTy/ToGyRHJfTZHn2zbehzjTUeNLYj1BlRfgwb2MIZh43n1mde89Us0Ia+DFm8PZRaaJLLTvfZIaNcg7G1kqfWRCsQZchJvoHLsNBrZ5s027NpBMnpWYV9MDKTREKJxaz+i5/d7O6L2mBsarC9nqES5wGT36MP38k1hr4Cbn5idaNFKJqgLyBdDD1xr0evOY28Vba3joLVgYQqzTEhJuLbW+nNSLkMozHykkiq+0CvpyZO9tLwgS05jwnjmTWGvp+QaRTDaAecwVix5kvZMfpsrG0hVDAP8aTSFIsh4u+tjxqcXtsn7B59PKm02C59rdvqQWM7ABg5qNUN3Zw9a1LWcRces29d5KkFxtAbQoMzQCdI3gGxWCycN2M+EkmlKZbSPZOeeJJTp4/jyjMOBYIWoy/9M5a+zgWurS5bu3r5yKxJDB3Q4oZuWpqyTePQAS22NME5t8ViDH0/ITM7JYyN1bkJLY9e7Rh9trUXolW2V1VtwxcD8b923X0J2ppi7vkIs/6qyurNXa6xraUqqsrWrl5GDm4FSR/wz/2Z2slTK4yh7ydEIETvdqtjYt1ssRyt1wntRAUnDNNsD8b6KdcTT9LWEnPHYoJkjEp1Kh5ashGwFgWpNbt6EsSTyvCBrQjpKbyZhPkeMoa+irxtQmr2aatP16+RZHq+QTIExeLkj1seu/Mqm6gNxjoDhE0xyfkQiyeV1qaYm6kSZo9+a4aBr6UmTkXU9harN5TIYejvvOQot7WF8dQGyxqFHG8N9Fy1MhpFiJ0RF8ejF9utzZl1Q7gNXSbO/KimmNgxen/dWptTHn2QBmNLvRROLLzcz5eCk8nV2pxeAi7T0Lc0pVJ5wxj2DJY1CjneFMag1coIc7fTwfG2EklNzYz10SsKunpxPPpmx6PPYWdam2Ou7skgWfoSyZysVMtU0R7bo29rbkprN5kxevH0HsPoQwTLGoUcrxcfdI8+hG3VjZ8mVO0yxen7ReBX/3W4lWseRgVz4DzgYmJPmMpxXEtTQGP0Jcri6Pv+Q/ayPl9tgTyke/SpBpU570QEj0cfPoJljULOoNZURYmgGfowNs5MnDx6y6PPzrr54GHj+cDbxkUudOOWZ26SvOMPMRF3gDqY+hfX1XJ6MO/adyRQ24eWE6NvbYqle/RN/tlcljxBPLf5CZY1ChF+F3tgW6rLGfQiYmFsrHFv6AYfj975nye8EUa8A4ROaqkfMcETow/OCShVkriby+5MfaudLuu3dQPQlrHGcGaM3nj0/RS/+2hwW8qjD2NjCDqOwUtqKkbvxTFykqNMQFhxU/4kd60bsArXSQAHY0sl9WCzzVMNdbn24eWA49GnWlSmo+YN6wToGVo0xtCXScK+2kftN9LdNqA1suugBwKnS++GbnK49Fbopr6y1ZJ0jz531k1MpCGFwApRqizOoiPNrkdfe6yMpdT75oxJGpZHH16X3hj6MnFuvnFDB7jbvDH6IN1oUcExAIkkaaEb9z+Seh+h058eo8+tWpNIINMrS8V5oLfWYWasQ2bWTZNvjN4ijL1FY+jLxImBeudFefPog9AUovawiWeFbrLjqEDOCo9hJZ6ZdZNDNZFUOerMFacaSbkx+uYaxugzvzEz6yYrdOON0Qfn1BaNMfRlkhVHxLoRz5w5AQhGY/De6++YPCJtXxDkK5W0wVhPmWJ3ENb5n6PCY1hxnIrmWCzv+ENMvDH68J6A1CLw9fPovROiwGcw1ptHX3txqk7BFaYM/jiGJLPSwbUfmQHA/Ne21lmibJyb/SvvP5ABeVbMCQtOCQQlVaYY7NhpmuHPHccOI07IyqpemdvwNcUkkHn0pVpGZwZ0a3P9MteaYun9Q/+sG5Ne2e9IejIhHJyGkO9mrCepao/ZKzGFMbThGAB1QjdZY7GpGH34tMuNt/coAju7477HxTyhm3B79M5M4NotPJL5CGmOxdIaVGZNM+8s7DCeWWPoyyShqZvPIeaJIQThPlO31yGRWGHKMXiqdpliz4MVvIOzEqnQTcIN3Qg7u+Pcs3C973GxmAQ0j77ErJvMGH0ddPF69M2x9Il4YHv09usAndqiMYa+TFyP3nMGU3Y+GEbVMRAxyfZ+w9hYnVrhufLo02L2YVQwB46HG4uJO2XfD2tmbASybpzQTR2XEnQmowHuOUwndROFsTdsDH2ZODeSt1G4HqYEI46XdA29/wIdYSPdoyeVN+/x5J33jT/71cPNKy+wwrs3dBOE9udQqihZNeHroEqmR5+J16MPY+Myhr5MvN1pB69HGYS2kMxIyws73vRK/NIr7f+RK2qmGYYvB7GI5NEnksm08Ek9POgmz+/5LjqCidH3S/IOxgYkRp/KDPIZjA2AfKXiFDVzYvQx98HqmShF9OrR51oMI5OYZ9A9SPqXk0fv9bDroUqz5/f8V5dKJVgG6NQWjTH0ZeKXR++N0Qchjpcqb5tddjWMuKEblGShrJvGn/6qUayhbwroYGypxBOatjh3PVTxOkO+oRu8Hn34zq0x9GWS6k6ntnmn5AfhPnPitLFYdugmAOKVTCp0g1umGPCN1YdRv1ykJhDlN/TieaAHof05lFOP3mt46zIY6/HYc60Xa7Ju+iFeI+rg9Sg37ezhsr+93BDZHBJpg7ENFaUqxL159OQpU0ywBiMrxVsCIR/eomah9uidGH0d67/HYilL7ldiPJHUaMfoReQWEdkkIos8264RkaUi8pKI3CUiwzz7LhORlSKyTEROqpXgjcYOF6d5WamX1ovbnn29vkJl4GYGeWb1OYTREDrFriyP3q/0QTRDN8mMvPJcWA+/4A3GlpxHn6i/Rw+pduRX0KwvoXV98FSbYjz62cDJGdseAqap6nRgOXAZgIgcApwDHGp/5gYRCf/cex8SPl5WZjXFRhPVrBv3RstxoqNa1KxQ6EZVI+LR1z9GD3hi9NlmsS+RdJ8EYTy1BQ29qj4GbM3Y9qCqOvOwnwEm2q/PAG5X1R5VXQ2sBI6ooryBIVVoyid00xCJsvHm0UdhMNYJ3TiThlKefPb/IHm0leLnVOQiFaMPzgnwE0VVeWjJRt8qm5kx+nrh3L9+z9PeRNJtb48u76Srx78MRVCpRoz+fOCf9usJwBuefWvtbVmIyIUiMl9E5nd2dlZBjPrimwkRNI8+X3pl/cWpGOecL92wE4CnV21J25960EarqFlmNcdcqHqWEsw9gTYQ/HPRBj5963z+7/FXs/bFk5oWo69Xa83n0e89YqAbFvvW3xdx49xVdZGpWlRk6EXkm0Ac+KOzyecw36ukqr9R1VmqOmv06NGViNEQUutappcphgCVQHCLmgXn4VMJ8QzrtWGHtd5npicWtZmxrlNRIEaf9FTwDFLoxk+Sjfa1W79tT9a+eCLpLrIC9QuVOPevX9bNqMFtaXf1Q0s21keoKlG2oReRTwCnAf+lKfdpLTDJc9hEwL8CU8hxJu80N2Xn0QcF57L4FjULjh0omnhGN9+pfeOQll4ZQv1y4V0zNh9pHn2I9bcmTMXqPxjrZN3kGAvxnv6lG3ay9q3ddZCqOpRl6EXkZOBrwAdV1avtPcA5ItImIlOAA4BnKxczeGSuVA/BG4z1pleGndWbu9i2uy9tm2Pos2rd2Md/+57F9RSxZhRbAkEBdz3tID3pfGTJp0kiI3RTC1XyfaV/UbPs+3rO0k0l/+7yjTs57seP8lZXb8mfrYRi0itvA54GporIWhG5APgl0AE8JCILRORGAFVdDNwBLAH+BVyqqomaSd9AHCPjDd1krnjUaJxIh99gbNiyUmY/uTprW2YlR0dD5z6d/dSa2gpVJxJO77GorJtwePT5xOvLDN3ULUZv/WBLLkOfcWc//Erphv6Xc1ayenMXj62o77hkwRWmVPVcn8035zn+KuCqSoQKA36zFd0YfUA86FTWTXB6GeUydGBr1rbejOwbMjz7qOBOmCrGow9JjD4fjkfvfr5e6ZX2/5bMZeOc/Z7Tv/eIgTyzagu7euIMbit+ob5GXRczM7ZE3ty+h61dve5qRy3NwT2FSU+XP9MbCZAdKIqhA1qytvVmxugDlt5aLfxSeX1R74Sp4F1gr6HMp0lWUbNaCuXBzbopMOgNcPK0sfQmkjxRomfuXJZ6h1ODa6UCypFXz+HwKx9yM0BavEXNPDMzg0DS06gK2YigM6Q922vgG/wDAAAgAElEQVQ69W3jgOzzHjWPvi9RbIxeCUutm3ziWR69ZzC2Bsr4ncnCHn3qU+/adwRDB7SUHL5xwlDG0IcEdzEIz9O/yR0MDIahiVJ6pXOTTZ841N12+emHpB/jHlsvqeqDE6JqzWGAHKysG+t1kDz6Ug21k15Zr77Zd884FPDE6HN49N6t7c1NHDt1NHOWbvKd9JULZ9ys3m3UGPoy8cu6ce7DoBgab3plVq2bRghUAc5yem2eUJlj+LJmyNZTsDrQm7CKfBUXow/HYGyh0E1zrH559E6M3ZGpuYgYfUtzjOMP3outXb0seOOton/LO25WT4yhL5O4T9ZNasJUMPBOnQ+KTOWSKiKXHSpziAUsdFYteuNJWosYC/JOmPranS9lzTNoFH52ulDoJj1GX1tLn5kWXUzWTXNMeO+Bo2mOSUnhG+cBXO/wojH0ZdLnMy3diaEGxdB4Y/TZ1SsbIFAFOB59Wqgslu7CS+b2iFCsof/wzInuwy6R1KwSEWHBSq+M1c0YpuLl1v9cHr2XlqYYQwe08I7JI/j3K6XMklXPL9UPY+jLJOXRe9IrXUMfDEPj7SaG3fY5vRNvnDprpqj9PgoTxLz0xpMF4/MtTcKA1qZA6l7OwiPepf3KdUqKHRvIHMwvJr3SOeb4g8ewfOMu3tha3CxZr/NVT4yhL5OET62bpoCFbtLSKzOECtuEKbdUr89MZPe9/b9gGmLI6NzVk9P4OPhVXgzDFfZzitz0ygpj9MV+LqNjWNRgrNMOTzxkLwAeLtKrd52vOlteY+jLxC+PPmgGJpV1k51HHzbcCWpN2aEyh1Stkug06929ceYs3cQ6n+JffgSlN+nFz96mvHX/MsUtsViqBEIVf9ePzMXlc1UJ9Z5ap4e1z8hB7D9mMP8uMk7vLqVQ5/sxOndEnXFDN96ZsbHKGma18U60CeD9XxJOvRfv+XZDNxk3TxEh1tDQ01fkgKp9KtI8+gAPxOQvgaA0pVWvLE+PYj+X8ujt9MrmXDeLZzDW4/Uff/AY5q3ews7uPr8PpeHck/VOf43QLVFf3IqCXsPjGPqA3GDxhDd0E/LB2ES2R58jRB8pjz5RbJzZ/u+N/QblEue7H/x6IAl7zVj38+X+bpHHZcXoi/DovV7/CQfvRV9CeWz55qJlKyX3vhpE546oM/FkMqv8b9BmJXpj9AGLKpWM69E3pWLRzg3qnO5U1k2dhashpRqEtEG+gLRDP/KFbuL2zFiXGsfoM8cCcpVA8G71Do4fvvdwhg9sKSr7JuXRFydbtYjQLVFf4gnNisk3BSx04+11ZNW6aYRAFZBIWjnifotDZC7MESWP3smFHzukPe9xbi54SFTP1/7iCa1K9cpiP+e0Kb/FhLx4ex+Zab7HTR3DnGWb3JBuLpyZsSZ0ExL6EpoV+24KmEfvXe4w9DF6O+XOr0KoU9zM8bIKLdARJpxr+P9OmlrU8emhm4A0RBu/q+IfutG0cGMp95O3h1Bq1o0zV6OUrBuH4w/ei227+3jh9W355cPE6ENFImlP6vBcfseRDEqdEdfQi4+hD4iMxZJIqj3xy3rvNeaOnk55hGKqD4YFv7RSP3zTKwNyiUuVI27H6N3wTg1/C1K9objPJEi/4yA7jn/MgaNoaZKC4RsnZGNi9CGhL6lZT/6gzchM5AndhI14hkfvd66d2aNBnDRULsUuDO6o7NU96PVu/EgmlaSSUb2y+M8Xe6j3OKfnkJobk95+powaZB+X2pZZd6ijvYV3ThlZMJ8+mTQefeDxdgvjiaR18/mEboKC19AH7BlUMomkEvOEoPxOtWPogzafoRKcGH0hJ8LZ6z0vheLF9aKUEJK3B5PKoy/+8+WFbvLH6P968ZFA4dz3Ew4ew6rOLtZs7sp5zM7uOJCK1dcLY+hLwNvdiic0K/YdC1h6pZOp0hyJ6pXp64j6evRNTUDhlZjChN9KZn4419fr0Wcuph4G/MaVyvXoi31AOGfMb1IewMjBbekH5uD4gwvPkt22x1ortti02WphDH0JeC9O3C90k5Hu12jc6pVRGIxVpSkWc3smfr2nKHr0xcboHWI+YxeNxs+m5RLNWdDHG6Mv97dK9uh96ld5KSTPpBEDmbpXR85ZsvcuXM/GHT22bMbQBxZvdyvuDsamSE2Yqq9cufB6g5m2LygyFkt3X4K25pgndJMnRh8hQ190jN7+71U9yB59LkPnLugTE1epkgZjPUcX+znnnJWSXpmL4w8ew3NrtrJ9T/os2Q3bu/ncbS+67+sdVTOGvgS8Hn2fTx59qgRCMG4wr0cfnFJr5bG1q5cRg1o9g7HZxzhZN15vPyhhtHIpNkbvtzB6ot6B4Bz4XYFcvQ137oc3o62Ea5ju0eeZkevzplCYrJg76PiD9yKeVOYuT19LNnNtABO6CTDexplIOpM6PBMnAppH71frJmwGcGtXL8MHtbrnO1/oxnufBtipLYpcmSCZ+O0NskefSzRXX2+MvszfKN6jL3bCVOHvmjFpGCMHtfLwkvQ4/Z6+RLps9v1Xr/swe8XlEHL53Yu4d+F69h4xkIVrt7vbb/r4LD5963wARne0MaajjcXrd6R99q7PHMWKTbu45oFl/PycGZw/+znu+ezRfPmOBSxalzp2v9GDOGLKSPf9sg07Gd3RlnaDOb1r76X7zB+f54b/ejt/nPcav3p0FU987X389MFl/GLOSs56+0R+fPZhafLMXd7JJ2551n3f3hJjyXdO5ldzV3HNA8s4aGwHr3Z28fCX38veIwcCVljj3T+Yw5Yua6DnuW+ewOiONq7+51JLLpGslMNv37uEb9+7BIARg1r53oemcYq92DbA+bOfY87S7FjjoeOH8I/Pv4eunjgf+PnjjB3SzisbdjBsYAuD21p45c3UOfvLxUfyaucufvLgcv72maP4+4vruP25N/jhf0znM398we3ezvvG8bQ3N3H0D+fw0SP34U/zXmfSiAG0Nzcx/7XUMm1nzpyQ9+Zv81mcw5l809UT590/nMO1H5nB1L06OOoHcwDLU04klR+dNZ2v/vUlAMYPbeei9+7HR94xiYO+9S8A7vvc0UybMJQHFm/got8/jwjM/cpxHHPNI+5n1m/v5j9nTaSjvYXHlndy/xfew6d++xybdnazfOMuV6aL37sfs59azeNffR//8aun+PKJB/KhmRNYsXEnJ177GADz//cETvzpXN7a3efKmQ+/sMJzq7fyzbsWAfClEw7k5GljOf26J/jNx9/ORb9/nn998RiO+/GjaZ/5j8MnApYH+otzZwLwvh8/yqeOnsI/XlrPyMFtnP/uKXz85nnM/epxjBrcxkd+/TTzVm8FrGX5dvXEufGjb+drd77Ej88+jB/Y7fDBJRt5fEUn589+jtOnj3d/83dPreHqf77COe/YmwuOnuLq62jUG0/y9isfctv3qdPHcf15h7N6c5cr//P/ewLH/3QuIwa1ut/7nXuWsH1PH//3iVlpOv7i3yt41ZMZ4/yO36pxaee4CJ++KSYcd9AY/vr8Wh5aspEpowax5M0dHOZZ6xjg8rsXs3lnD/9euomDxw3JsgPVJhKG/rZnX6cvoby1e3va9s/d9oL7unNnD507e7I+u2jddu6Yv5bOnT1c/8hKuvuS3P7sG2lGHmBVZxerOlONY922PYwflj4t3c+jv//lDQDuDbenN8Ev5qwE4K/Pr826wD+0bwqH7r4kPfEk1zywDIClG3YCcO9L67n0uP0BWPvWbvcmAJi3eguneW6kQgNbW7t6uevFdWmG3s/IAyxevwNV5fWtu90/cNLG0kvpXv/ISjZs72bTzh6WbdjJjx9cDsAV9yxOi2E+sWIzozva2NkT51ePrgJg+7rsSoAjBrW6eowfNiBr/9S9OgDo6k15T06+8qrOXWzb3ceP/rWM846Y5O53PMiv3fmSu2399m6uuGcxR+2XerD//unX+OFZ0/mu/XBUhXsWrkv7DMAd89e62zbv6uGJldmFrm6ca+k4d3knr2/dzRf/vIAPzZzAHfPfcI95cuVm18hD4Ri9H39fsN59fe3Dy+nqjdObSHL+7OdIKtzj2e9w5wsp+X9x7ky6+xK8urmLb/19kbu9N56kqzfB/DVbOXnaONfIA+zqsdIHL/3TCySSyo/tduvw2T+9SF9C+duLqXM3b/UWuvuSPLVqM2fPsh40He0t7v7OXT1p7fsfL73J9efB3z3f8dSqLWzb3cc2zznz6uLlpw8tT3vv/Fahge+4z7rFfpxwsGXo9/QlWGI7Pl4H1OEXc1YyanAb0yfWPqwaidCNUxs+k5544RhlUlMx9T22gdjdGy/qdzPTK1NeV7Y8zr6tu3uz9nnJ7OLlkmePx5g5ublevDnUmcXXKmV3b4KtXfn1gHQZtxQ4vpiY5YhBra4h+cC0sVn7nbS47Z5z7Bh6ryx++P2881u58BpiPwqdoz152llXT7q8hS5fMZd3QIuVfpqanVn4/vDTwTlX+S6Z8wAd0NqUtn1gxnuALbt67d/qc39v5OBUmG5bV+Hyv2+8VdwKT36MHNyaJnOuMJnzEDnp0Oy25+U9B4wu+rff2t2b1gupFaH26Lfs6smbs1pM+Ov6R1ayyfb0nToVtz/3Rr6PuGR28WI5sm5ueHSl24juyPju2559na1dvbxtwlA27Ohmtc9ki59keCAAT63azK/nNjNiUCt3Z3hmP/jnUlZ4QgXiKR0QE//46ENLNnLDoysZPrCVtwo8jH784LK03k0u5q3eypgOKwd59pNr3O2bdnSnHXfT468yacTAgt83clCr26Nxbk4/vL2F6+asZPLIgfztBcv7e+XNHVz/yKqCvwVw30tvuq/vXriOw/cZlrYAyMI38tc1+UFG7ywTr/f/5+de56bHV7vvM71Rv4e5l2Ie48+8mr6G7F+f9/d4HW59eo1v6V3nnrv6n0sLGtgFGefoze3p1375xp1ur3Dzrh7usq+Tt/e2aH22Nzz7ydXc+vQa9/2P/rUs6xiH3z21hvaW3D7t8IFWW+pzM378j3UeQoUM86C24s1qIqmMGNRW9PHlEmpDv/atPXztzpcr+o5NPuGcYhk7pD2tUThFtTINvbcR/vzfK9L2Xfa3wvL/ad7rWdteeH1bzgJKa9/ak/U7TuM8c+bEnF3afDeLl996jHYhnPO7xBO735FhtJZu2Oka8HxMHjWInd1x7l24nimjBqftO3Zqyot6zwGj+d3TrwG4oSAvGzIeNLm4+YmU4e3uS2a1Ne/4gR+Pr8hfn/zldSkDlvndz2d896QR2aEqgNMPG8+9C9dz+mGpUN3wgS2+vQ1viAVS4aZcXH734rz7X9+6m+/fn/9hVoin7AXMB7U20dWbcEM6Y4e00xQTOtqas8bVAHd8qRiuuCe/Hs4g/mnTxzH7qTWMtp2Tkw7diwcWpxzJGXsPs7fn9+jBKkJ3zQPF3U/7jh5U1HGVIIVGfUXkFuA0YJOqTrO3nQ18GzgYOEJV53uOvwy4AEgAn1fVBwoJMWvWLJ0/f36hw7LoiSfYsquX5phwxPf/DcCCy08kqbB0ww7Ou2keAM9cdjzvutra/5eLj2TkoFbe95O5Bb9fJN1oX3PWdI6dOob2lhg7u+PsZTdGJ0zihA6++teFrrf2k7MP43/+stD9jqe+/j5E4Mir55Sk6+WnHcLvn3nN1+MvxJofnApYnm5HWzP7fuP+oj973+eOZsKwARzzo0fYmSeU8fNzZvCF2xew15A2euNJ19B86YQDufbhVI/krxcfyfhhAxgyoIVpV/g3jTsvOZJ9Rg5i1vceBuCJrx3H4LZmhg1sRVXZsSfO0IGpGG4yLY3U4m8vrOXLd1jnvbU5Rm9GGO+qM6fxwcPGc/7s53huTcqofueDh/K7p9fwamcXV3/4bWkP4vs//x6GDWxxY7Q98SSvdnbx0Zvn5T6BHhZe/n4O++6DadsuP+0Qvntfymh98qjJzH5qTdoxf7/03cyYZBmZyV//h7v9v4+ewjdPPZgd3XGGtDe7oY49vQlueXI11zywjA/NGM8Vpx/KzCsfyinXFacfwg2PrqJzZw9f/8BBvPLmjqxe4odnTkiLq/tx6XH7ccmx+9PTl6AnnnQHvAE+fPgEvnHKwe41BeteAOs+G9DSxIzvWjJ+9eSpfOZYa/xpZ3cfO7vj7nd967RDuNJzvhZcfqL7OYfl3/sA2/b08sCiDXzr7sUcMGYwvzv/iLRjRgxqpaUphqq6962qsqM7ztABLe77pKYPhMcTyayZs7nwXisvnz1ufz5x1GS7eFvMfbCUg4g8r6qzCh1XjEc/G/glcKtn2yLgw8CvM370EOAc4FBgPPCwiByoqvkDpGXS1tyUNSg3zO6GHTCmw902dmhq0HTskPaiu1ZD2lvYvqfPNRSHjB/iXhTvYFHmhfc+HN4xeUTaPkfe0R1tvoPDuRjV0VZwEKgQTgMuhTEdbQwf1EpHe3NeQ++c7+ZYjIRHzGED039z75EDGdORv7b6/mM60mQdMqCFIfb5FpE0Iw/+E6S818cvYWXc0HY62lsYNTj9Jmttjtld+S4mj0z3tKaO7cjKfilmHMghU+6OtmbGDEn//cMmWdkZ7S0xuu1lBMfkMAQxu7RF5nUd0NrEYLuND2xrZniBUMPYIe1umt9BYzvY7TOeMXpIYWM0pqOdwW3N7m972bijO+tce+9dr8O5z4jUee9ob0m7lgeNTd3XkLrfvbQ2xxjT0c7UsUMAa1zAb/DeInU9M8+liJAZri/WyOdD0YqMezkUlFpVHwO2Zmx7RVX9+iVnALerao+qrgZWAkf4HFdzhmfcVM4FHDm41XdAyA+nwY60b5SOtuIMZavHIGdm5jgUK4NDS0zqUn63NeNh4hiJ9pb88na0N7v/B7eljs36Pp8bM5Mh7emGYkCB3/bDO6Dm94BzQm6ZRjCRVNcRaM1YO7SS6qStPgZiVEdb1jiP08YO3KvDbX+5YsL5Sj04TkEx5669tck1piMHtfm2zWKchMxr7aXQYLg3PTRfDNxvX657yTkHpcTM60Ej5jdU+wxMAJ7xvF9rb8tCRC4ELgTYe++9K/7h75/5NvYfk4rbNjfF+MLxB7CXvTLPHRcdycOvbGRgq6XyJcfuxxMrNvPyuu28c8oI15CdOn0c9y5cz8ePnMy+owdx/0tv8sEZ47nz+bU546SZfPKoyTzz6hZOnjaW5qYY3zjlIDbt6OHoA0a5x9z8iXfwsZvn8ZOzD+OuF9excWcP+4wYyD4jB/L0qi3MWbaJOy46ktuefZ2WWIwTDtmLQ8YP4fK7F3Pc1NG8fZ8R/OiBpbz/0LH88ZnX+NDMCWze2cMp08fxs4dXcOIhezFt/JC0OLDDdefO5K/Pr+WSY/fj369s5JS3jeORZZ0MaGni2KmjeXxFJzc/sZoPTBvnGqKbPjGLj/3fPE6dPo7DJg1jYGsTO/bE2byrh3dOGcnE4QP4/PEH8OGZE1Dgj8+8hmLlvo8d2s6vHl3FkfuOTDNsf7n4SM6+8WlOmz6OfUYOZMeeOJNHDXJv+h+dNZ3Xt+zOmdecj6P3H8V579ybrp44V5x+KB/59dPMmjyCAS1NtDSJmzr5tZMO4ulVWzj/6Cms2dzFWW+fyAkH78Xsp9YwY9Jwrj/vcBa88VbWmIDD5JEDed9BY5izdBP/c+KBPPTKRlZu2sW3P3gou7rjbNzZTSKhnHm4dRv8/JwZdLQ389La7XxoxgQmDB/AhcfsywemjeWRpZs47qAxXPze/fj4kfuwfU8fjy7rTHvI/vaT72Dzrh6Wb9zpptf68aGZE1ixaRefP/4AAK4/73Au+9tLnDxtLPGk8vZ9hnP3gvVMHD6AwycN58ozpvGPl9dz4NjBDGiNsWjddkYNbmNV5y4uPGZfZu0zgi27ejnlbeO49I8v8OUTD+S+l9/k+IPGsHTDDnr6kpw5M/1Wv+7cmdwx/w1EhG+ffghghczuemEd5xyRfc9/+/RDWLR+h9ur8XLjR98OKPuPGcx579yblpgwc+/hANx5yVF86rfPcfph49J60G+bMJRLjt2Pj71rn5znqZbcfem7uej3zzNl1CAWr9/Opcftz+ZdPW5Yqp4UjNEDiMhk4D4nRu/Z/ijwFSdGLyLXA0+r6h/s9zcD96vqnfm+v9wYvcFgMPRnio3RVzuPfi0wyfN+IpA9K8NgMBgMdaPahv4e4BwRaRORKcABwLMFPmMwGAyGGlIwRi8itwHHAqNEZC1wBdbg7HXAaOAfIrJAVU9S1cUicgewBIgDl9Yq48ZgMBgMxVHQ0KvquTl23ZXj+KuAqyoRymAwGAzVIxK1bgwGg8GQG2PoDQaDIeIYQ28wGAwRp6g8+poLIdIJvFaHnxoF5K80FV6MbuHE6BZOgqLbPqpasC5yIAx9vRCR+cVMLggjRrdwYnQLJ2HTzYRuDAaDIeIYQ28wGAwRp78Z+t80WoAaYnQLJ0a3cBIq3fpVjN5gMBj6I/3NozcYDIZ+hzH0BoPBEHEiZehFpKPwUeEkyroBiHeJoQghIrVf+blBiEj2CiERQUTG2/8jYSMjoYSIDBaRa4Hfi8iZ9kIpkUBEBonIL4E7ReQ8u/xzJBCRDhG5TkSmasQGizxt8g8i8lERacwyRzXA1u2nwF9E5NMiMrXRMlUTETkLWCsiR6hqMgrGPvQKiEgTVslkgGuA/YHvN06iqvNdYAjwPWAm8IPGilMdRGR/4Hbg01g6RgYRORp4HNgD3AK8B8hVBTZUiMh7gYeBBFaV2qOBExoqVPWJARuAnwCoavErwAeU0Bp6EdnLfjkOmKaqX1LVJ4F/ATNE5HONk646iMhgoAO42l6k/SogJiL/21jJyscTotmN9WAeDBwqIidn7A8dHs9vG3CDqn5DVe8FFgAj7WNCqZ9Ht7XARar6/1R1LtADrGmYYFVERJyy7R3AKcBgEflMxr5QEjpDLyL7isjtwPdFpElV1wLbReQb9iHtwHPAx0VkTMMELQMROUhEbhSRL4jIEFXdhVVT4zwAVd0G/BA4S0TGNlLWUnF0Az5v67YeeEZV48DPgcsBwhjC8dFtEVYY0VnVex2wD4RPPx/dVqnqQhEZKSJ/AE4CPiYiXxGREQW+LlBk3G8ddlsEmArsB1wMfEtEDgBCPdYSKkMvIt8HHgTmquoFntWrvgpcYC9GPhu4A6vrPKMhgpaBHXv/A7AKOAy4UUQOBL4B/KeIOIWLXgIeBU5thJzl4KPb9SLyTlXtBlDVm4CkiHyhgWKWRYZu0/Ho5mmfM4DFjZKxXHx0+6WIvNPe/RbwF1XdB/gO1lrRFzdE0DLI0SaPtHd3Ai+q6jygG1iGFSVo8v2yEBAqQw+0Am+p6q8ARGSsiLSp6gtYcdBbgfeo6j+wnsqbGidqyRwEbFbVa4CLgKXAx4HtwL3ATwFUtRcrPtrZIDnLIVO3FcCpGYPm/4v1sG4RkdNDNHhZjG7jgKcAROR4T9gx6GTqthJLt/1UNamqdwOo6itY4aogVHMslly6jQCagD+LyEKs6MBO4OkwL4saeEMvFk0AqvoVYIyIfEdE7sXq8v9eRCaq6npVnauqW0XkCECAHQ0UvSAiEvPEbBcB3SJykKr2AfcDA7AeYN8CjhKRi0TkJOAYINADREXoNhBrIA8AVX0Ua/ByB3Ap1prDgaRI3d5jHytYhn6qiNyP9fAO7LUrUrcjMz4zHWtAdl1dhS2RIu+3D9j7VgEXq+p/YiUNhDoJIpCGXkT2EpHjwIppZjxJ/xf4ElaI5mNYg3oXiMhAERkqIj8Ebgb+oKqv1ln0gti6XQLWaL4nZtsCLMc2fqo6H2vga5qq7gE+hXWTfQf4mareV3fhC1CGblPszw2wPzcW+JSqnqyqgTIaZeg22d5/EPBB4CzgVlX9hKoGqjdWwXWbaDtcNwHX2T3pQFGibuuAvYGHVfUcVX3aPvYSVf1ynUWvLqoaqD8s73UNVrxvkGf7uUCT/Xq0Z/tMrLj1QPv9uxutQx7dvgm8DswD9vVsP9v+/ymslK532e/fBbzcaLlrqNtLnuPe1mgdanXdgC81WocaXrdzG61DDXVz7I00WpdK/wLl0YvI4Vgne7qq3qiqXfb2ccAwrIwaNN0jOhgrjhaz9z1ZV6GLQETeJSIvY3XhPwHswhrMQkQmAM5A6yNY+buXi5VaORl4VkQG1l3oIqlQt+fEnjmqqi/XWfSCVOG6dQCo6rV1Fr0gVbhujm631Vn0glRBt4EAakcS1Lb2oabRT5qMJ+eJwE/s1+/E6vJO8jm+HTgcK/vk38A7Gq1DAf32wvYa7Pdzgc/ar2MZx8aAHwN/x4oVHtFo+Y1uRjejW7j/GnkxRgD/DbR4tn0KK3PmFOBFrMHWF4HjPMe02/+PAz7e6BNYjG5O48IazW8Gvg58xafRDXKOxxOeCtKf0c3oFrS/KOtWrb+GhG5E5AysgZD/AT7j2fVH4Fjgk8BJqvoFrAL/P7M/Nw64TkQmqOojqnprPeUuhhy6KVhdQbUmZbQBB6hVR6PJ/tx44FoR2VutQaNADdiB0Q2jm9EtrDToCfx24HysEe97sVYyd/ZdBLwJjLDfD8d6AAzCCtkMa/TTsRzdsLwGZ6GXg7HSt4Z7PtcODG20/EY3o5vRLXp/NffoPXmrLqr6PPA7rElBS7Dypp19vwaeB/5bRE4Hfg90qmqXWrMNt9Va5mIpRTdNT+3agTWBZh/P57pVdXvNhS4So5vRzegWHWpq6EWk1XOy0y6UWt2qzcBdwEFiVcVzuATrwp0P/FNVv1hLOcuhAt3AKgQ1BmvWa+AwuhndgkaUdasHNTP0YlWPfFZEvisiH8xz6FKsUfGz7c8dBGxU1XuAs1T1+lrJWC4V6DZVRNrtRnmaqq6ug7glYXQDjG6BIsq61Y1axIOA92JNUjgcOAeYjz2RCTuVMuP4kcCzWPmu1wJtjYplGXxNWlgAAAQzSURBVN2Mbka34PxFWbd6/lWtxrJYJYOdUgWjgQfUKjb2gogMA24ADvMc49S4bsUqZ9ABfExV76qWTNXC6GZ0q6/khTG6hVO3RlFx6EZEmsUqH/x9sQpugVWQ6hjnGFW90T72Qvu/M4s1qVap2ttU9eCgXRijm9HN6FY/oqxbw6mkO4DVrVoI/Aq4AKsUwdH2vmVYT1Xn2FOxBla9nw9sDQmjm9EtaH9Gt3DqFoS/Sj36JPBjVb1EVW/GSmE6w973FeB7ItJuv38TeMV+agsEvoaE0c3C6BYcjG4WYdOt4Ugl50es4j8JIK6qCRE5F6ua5NfVmoX2W6AXazHhs4EdqvrfVZC75hjdjG5Bw+gWTt2CQEUevaruVtUeTQ2KnAS8oalV078I3AN8BFgWpgtjdDO6BQ2jWzh1CwIVefTul1j1IxT4B1aVuFUiMg1Yo6q77MkOvRX/UAMwuhndgobRLZy6NZJqTZhKYq3Yshk4TKxVZ/4Hq3IcIb8wRrdwYnQLJ1HWrWFUxaMHq9g/1gDKU8Bv7QGVSGB0CydGt3ASZd0aRTUN/USsNVx/qqo9VfnSgGB0CydGt3ASZd0aRdUMvcFgMBiCSaDWjDUYDAZD9TGG3mAwGCKOMfQGg8EQcYyhNxgMhohjDL3BYDBEHGPoDaFERIaJyGfs1+NF5K81/K0ZInJKrb7fYKg1xtAbwsow4DMAqrpeVc+q4W/NAIyhN4QWk0dvCCUicjtWGdtlwArgYFWdJiKfBD4ENAHTgJ9grTz0MaxFok9R1a0ish9wPdYKRruBT6vqUhE5G7gCq5LiduAEYCUwAFgHXA2sBn5mb9sDfEpVl5Xw248CC4AjgCHA+ar6bG3OlMFAbdaMNX/mr9Z/wGRgkc/rT2IZ5g4sI74duNjedy3wRfv1v4ED7NfvBObYr18GJtivh3m+85ee3x4CNNuvTwDuLPG3HwVusl8f48hu/sxfrf6qtmaswRAgHlHVncBOEdkO3GtvfxmYLiKDgaOAv9jrVgC02f+fBGaLyB3A33J8/1DgdyJyAFalxZZif9tz3G0AqvqYiAwRkWGquq1MfQ2GvBhDb4gi3vooSc/7JFabjwHbVHVG5gdV9WIReSfWcnULRCTrGOBKLIN+pohMxvLQi/1t96cyfzqPPgZDRZjBWENY2YkVIikZVd0BrLbj8YjFYfbr/VR1nqpejlUqd5LPbw3FiteDFa4ph4/Yv3c0sF1Vt5f5PQZDQYyhN4QSVd0CPCkii4BryviK/wIuEJGFwGJS65NeIyIv29/7GNaC1Y8Ah4jIAhH5CPAj4GoReRJr4LUc3hKRp4AbsRbDNhhqhsm6MRjqjJ118xVVnd9oWQz9A+PRGwwGQ8QxHr3BYDBEHOPRGwwGQ8Qxht5gMBgijjH0BoPBEHGMoTcYDIaIYwy9wWAwRJz/D3pyOa7kaXB1AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sequence['time'][-1000:].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comme sur le jeu de données précédent, il y a régulièrement des pics de latence.\n", + "\n", + "### Temps de transmission en fonction de la taille\n", + "\n", + "Représentons le temps de transmission en fonction de la taille des messages." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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z9mZZAquM8ECEXvUnz9uXQ15bT0Kh3vHJIXvDbnfey59pft5eQBl6BQWFXcHKjctt9swTj243+WjJfwP83+0GQiDNMr8OeJzAWD8Ncti/lUd3aEIZs8rfRvt4nh3HHQlu37IwGuZ8gEQn5Irl+oFbC5xgfvwhbQ3YLhRHr6CgsCtY49mjYRrA3rBJijjA85IZk0RvlpEoAR+N8UiU/Px790ixRMMGF57I8Np0nt5+qUIDu5qw57ijYXLy5i0Lp2aNyJtOyBUnMoyxv36PawcCcmvAa/ujZ9MIyqNXUFDYFWQ8++wyPei+LuBXXuT/8TS95ZeEWqPZ+31ygse8HqAyQG68VDHCDfu6DC/76h1gMAr0dhscejjAtO2853iaMfUyjj/kZ4RPPE0KxRxXDxifs8utq2jOLht68nKUooEx9+2k8zCgDL2CgsKO0Iz6sOOtrRK9knfXNG4leGZ8+zaCiQzwg+uCi9eAiQHg8SOkYyQ/b83LzQVGz9xfp/E9OmBs7p3IAG/d5j2dgtOo6YxrD/paN9DJrNgaEcDsBkcufg8nk2VnZVdHwO4po3ahqBsFBYW20amdmprJBkt6ZDluSBHfXaKHv5bkeda8xFLUlJmapactr3nzhiEd7PUw5v/uEv9cTsa1L8ZaL4NcP3B7AahW2VEUisyrQ7Ovo0ZyCnsJZegVFBTaRqd2amomGyzpEfndAXrdG2n+JmWJzXmJp0nV5Au8xuOisY+nGacf9HMh1uIGj4d8DA2t6QzHbLUMx4a5mKpUIRVVrBgGvF4dNZJT2Eso6kZBQaFtdGqnJiu/HwkCp02ywZIeiYZplNeSQKFAwzrcy/OseUnnAb8b6ItwAVe2wMnSSAhIFwyqqF/IHOcKQA2kjcx0UCt5l3H68+vM02MjwIlRrsK1q6NSpb6cwl5CGXoFBYW24dBIjZQr9J7HGoQ6WmHmrR3C6tV0XiuFviR/nS3QC7+3yu8DEUbqVHUuZgLswzt1MF8DES7iur0I6DWGZK4lGfM/GCH1Ah1wCUs4NQPEM7ynLFe9hVXJLEcf4wPAc6eM33NFjhKArfkCOLqAxgliOansdnHeYS+hqBsFBYW2IJf8p3P0sssy1DHefDm/mbd2ORmOeP0e/4+lgFff4Kfk2t+eIaVT08mh31ogBy7DNQH78E63kxz81ByNcrnC1bouB/DmTYZljvQKKiVLr3xqhp2ABoZ5LguZYjs5Y0nRNJJWsKOlIiHmYWqGefK6WY9yknivoAy9goJCW5hdpkd8/jg91GKZXnQk1Dx6xMxbL20IHZkg+fKNNK+Ppw2ufSQKjPaTEtEBQOc5L50z7mWVK+7rAn79Z3jtZoYe87Fh7vp0bBjo72KcfqXKEM8nJ7gxSjgARLt4fSTI+P542l7OWHLsgz0M44xtbt+xym43q5ee4ihBiqd5XKzHwZ695embUjeapn0VwM8DWNN1/aw49iUA/z2AdXHa/6br+rfFb78P4DcAVAH8jq7r392DfCsoKOwTzPICXULiQIZEtnotYJIE1il2BhjSCfJ3+f3iKeC5k8Z9rB2KWa5Y4rERfkZCW2UXCiXq3ZilEGpiJPDWbUNd0uveLqVsx7s3klawy1dNp3E3yzO0Wn87RSsc/dcA/DmAr1uO/wdd1//EfEDTtDMAvgDgCQAjAL6nadpJXderHcjrnqETS6EVFD4skJx4pcpwxHSeVMnEoHFOvXdKcvubWe625HLx+HCU0TQrCSBfpF7ORop0h3m/WXPoZSv5lCMOn5t8/4MYP4O+rdsYyjKFhKddrfHccmUrh24u+60F4P4atfiPD2/fmrBeXTi07dx9O+XaCZpSN7qu/xBAvMX0Pgfgr3VdL+q6PgfgLoCLu8jfnqNT8cAKCh8WHBsW2/bNGPrq6Tz57kbb9s2t0NitJsh/+7yc9FxNkKeuVIDpeUbIdAX4OT1PysMu9LKVfEZCzFcsxUVUyQww2E1u3U7iuFfMDVy/xw5hOLqVQz82zLmIN6cZf68BgGZsp2i1G3Z1kcwyjXohpXuB3XD0v61p2ruapn1V0zQp5z8K4IHpnAVx7MCiU/HACgofFvQIXj0cEMJkkmeONt6279I0uejeLiDoJSUyOUTj6nYxlv1Tz9CDT+X4+alnSLVY+e9W8/nSU+TgF2Pk+M+MAxdOMR/m91zy6X1dPK87QI6/J7SVQ+8JsfMoiE1QQj5uDzgcNaQPzLCri8EepmHm7tsp106w0/DK/wvAvwfr5N8D+D8B/BtsDxGFOGcbNE17GcDLADA+Pm53ykNBp+KBFRQ+TKjpnIRM5xkmePMBX/5UntSLA4DmYPRKsUSvP5GhMqUu9k7VNGNLwedOAt+/Rq9WM4UfbqQYSvmZx3jfRhRrPbroE+cMDt7Mi8v33HrdY8MMmZTnpnLcNGVumeWcW2FY5olRI4xS17nh+eXbRjrRML87NdaFPC/oZ0dnloLYa+zIo9d1fVXX9aqu6zUA/zcMemYBwBHTqWMAluqk8Yqu6xd0Xb/Q39+/k2x0BM2WYCsoKGyHlAGenifl4nQANx4A86uMQ19LAddmyMNvpEhZZIqUIdA0jgQAI2InX+KmHXmx+5JM1+shv/76NcoH1KNYm1Gw9d5zh7b9usUYywYYeVlPsgPLFnldoUzpg4xYfbuRFnSU2wgNffUNcv0VIbUws8TQymweWN54uPTwjgy9pmlmNulfAHhP/P93AL6gaZpX07RJACcAXN5dFvcWzZZgKygobMexYRouh0ZjvLjBic+An1REtgAUq/TYvS567U9N0IMulfieJbNclSrliF84w8+ZZbHBiEaK5PgIaZFkpj7F2oyCrfeeA9uvkzIIuSInZB0awydH+9hhjPUD0Dk/8WCdhv/eKstxfITpyFBRn5sdh9fN+yxs8P5SuuFhoZXwym8AeAlAn6ZpCwD+AMBLmqadB5/jPQD/AwDouv6+pmmvApgGUAHwWwc94qbZEmwFBYXt6AnR8GULNOLlCnByjLSGBm7sncjQWA5G2BmM9dJoOpwMb8zmGeViliOOhICZH4jQzQAwMc7Pcnk7B9ws7NH8e733/O2723etGhAjC6+Lk8XDPZy87RXpR8NAsZ/0y/QDlnGoh2GUctvCjCk0VKaXFd7/6TalFjqBpoZe1/VftTn8Fw3O/zKAL+8mUw8bdrGuCgoKjTHWR6oj4KXhKlcZT65pQK8PSIpJ1oFuwOkkTRMJ0bN/9sRWblwKlPWEyNfLdAEayyURdtkVYAfTFdhKsWYLVKxMi8iZc8eNSWMJ63s+t8LNyVeTNNTnjlPKOF+ivII8t1gBIOgmn4efgxHg6CBj9bsC5OJnl+nRAxwB3FpgJ9bfzY5PSi10iY3GHyY9rFbGKigo7AhmOkTKCfiEGqTXI7TedRrqroCYpAwYO0bV49TN6W5mGcbpc9O4pvPA9H2GZEqKdW4FeOcu7xMJku75zlukgOpRsHMr5NCDfuF554HvvU06ykzdmsMurXTTaoJlLlYYzZPOM7Loym2uqq3VGCKaynIVcDLLjmQ/6GElaqagoLAjmOmQfNHYMWozR0PW/wQpjGyBXv6TE8Z+qlfvNN7hSaZ7bZajhfPH+buMxIltAp+5yLS+fZlKlkcGOIlarnLFba5Qn4K9NG14/F0BTrauVRhV85uf3S6vMLss6BcT3ZTKsUMLeAF4mcfvi1j688cYlbOZZX6DfuCkULUM+R4+PawMvYKCwo6xU9qzFU792RNb5RaArTtQSUO5kqSn7NCAkNjVqqZzgrge5DUADW9oiFTM4kZ9eQVrOeXuWBJdAWCkh3MJp0XE+Givkd+HGU5phTL0CgoKHUG9OHa741ZpYcAId7x6p7FcwFqSHv1rUzwn5DNoG4lUjuGa9TAUaf+aRlIGSzHg2hxX1Hb7yfGP9NUvVzRM4/+wZFcUR6+goLBrNJI9sDsuQyrN4Y5mzvsDuYAMj8vzVhPUyunrNs4JeBnDnszSk5dyBS+cqZ/fF84YcsutXNNIymBmCfiHd0hZjfQyqujbV4DFdftyWeWYH4bsijL0CgoKu0Yj2QO74/H0dgnfSJAyClvkAqI8Ls+LbZL/HuzZGvf+9HGGOy5u8PNXXrTfnFxicojntHpNIymDmw848dwTBJ4YBy6c4PFLN+zLZZVjfhiyK4q6UVBQ2DXqce4rSeDM0e3HJcdu5r2tnLc8N180znttyv4+QR/wC8+3l+fJocadgRn1ypcvUpztuRFjtywAOHuUHcizJ7aXyxxjb05rv2WKFRQUFBqiHucuZQ0CXhq2xRj3V61UKEkM3diyr558r+S3H8SA9+9RUsDtZAjjQIShj31dpD6mZrgrVTxF8bSnjxuRPhKNtjKsN6/QSFpY8v1uJ+cPckXq84ybtjpcS9KQp/MclciFZNa09gqKulFQUNg16kkMSFmD1YSIf09ytanDQV56PWVs2Wcn37squPdYyrju+j1q6cRSNKBTs6ROXr8G/OQWjzkdvOdPblEjx04Tx7qVYaN5hUbSwi+coaDZ9XuURajp5OT9Xt4vGmYe5UYqAR/1czw7lF/eCZShV1BQ2DXsts27cJLUyIWT9GLLVca2nxilh9wVoLKl3LLPTr43EuLxjTS9aYdGg1irMiY9VyBn//596uGUKoy7Dwe4R2xJTOjaaeIsbtCLjoS4oKnRvEIjaeHJIeCZ45Q23szx/M9cMDRz4mnmMeTvjPzyTqCoGwUFhbZRL5TSLqa+J0Rtm7F+4B/fAQpxevYjvVSDNG/ZJ/l4mf7bM9SaWdvk50aGncNmjhrwfi8N51u3qCg5vw5EQ9z71ecBisL4J7PMy4LYYSpTAO4s8nqAXvio2Mu13ryCea7AWheLG8zPiQBpqK6AET8vF41lCkxf3ieett9+cC+gPHoFBYW2sJNd2RwaV7m6naQsXE5KFDi0rVLFkeDW9IeiNJCxTSo/JjP8HgkChSKwvskOIVsAoBlbAS7F6D27XLyfTHcxxutdTiCWpupktQZ4nKRT1pLGvIIZ9Th0mVefm6tk5S5ZqZwxvyDv2R3kqOaGuI/SulFQUDiw2M2ubAMRGvCgj0YvU9gqVSzle2X6R/robfd1Azfuk+YplWlUa6Bg2NU7pD6iYRrsYoVe/OK6MPIhI93jI0xvIQaMin3xljc42nBojImX8wqtSJfLvB4fIRUDjd7/zLIhgyzvWRSKmJpmiLg9LCjqRkFBoS3sZFe2mg6cO0YuvFgmDdITpKEfjm6VKjan3xWg7MGDGKBrwECYe77quoi66eaerseGgf4IRwa3FoBEFvC5gI+cMqJukll2NH4vDb3mACaG2NFIDZqgj5x7JNSadLlZouH0OL33VI75uyBkkM333MwZO0wprRsFBYUDC3MopQyZjKXIjScy9gYsEqSnfXrc0IHJFenhWnlva6hmVwCYHAQunqSHXq4aXLfLSaOaL/G8507yLye2MOwK0NhKb326wrDLowO8NzTSSafHjfxY5x+i4fpbGJrz2hUAukzpSNE0mbczlnI/TCjqRkFBoS3IUEoZMpnO01j2ddfn6tvZyc3u3NUEjWk6z8nbUoUx86sJe6pFhmWawygTGW6QkslzFLAcJ+c/YpIOjoa3zj80kytoVq6DsoOdMvQKCgptQYZSypDJkJ9RKoM99bn6euGXdt6/3bmRILnu88e5mUmxzBDKSNAI4bQLywx4SRdFQqSIwgGOBtzC435ygrSNzE88vXX+Qa7g3agjV9CsXO2Uey+hqBsFBYW2IUMmzxw1JISBxlx9O5LG9eQRNM2gQGT4YqPzAY4CuoMAdIZgnh6vLx1snX9ItyBX0KxcB2EHO2XoFRQUdoR6sgeNwgbrxd934l7mtFfi9NQHe+jBF8v4QG6hUT6t9wmLRU7yulbKeBChqBsFBYUdoV3+eSfx963ey5p2XzdlB1YTxjaHrWzlZ71PVGxy3hveX459t9B03bq3+sPHhQsX9CtXrux3NhQUFNpEOx761TtbN/0G6kfetHsvu7RXE5xHGIrWFy9r5T4Pe5OQdqBp2lVd1y80O09RNwoKCjtGO/zzTuLvW72XXdoDEUbctCszYHefVuWMDyqUoVdQUNhTSA/59iLFyDwe0iAhvyExvFvsZL7eHYg4AAAgAElEQVSgFex0TuGgQXH0CgoKewYzd36kH7i5QK0Xp4Px7FOz2z3xnWAv4tV3M6dw0KAMvYKCwp7BrFuTyjG0MRKimFjYT/neTuystBfx6rvR9DloUNSNgoLCniCRAS7fBpwaEApQsXG4hxIEm9mt8eyN0miVOulUvLq85+vXOZF7RMgOA83nFA4q1aM8egUFhY7DTr53fZMrTKUsMdCYR98P6sR8z+Ee0j9Sdvgg5rdVKEOvoKDQcdjJ9472krKx6svU49H3gzox33OsnyMOh0b1zIOY31bR1NBrmvZVTdPWNE17z+a3/1XTNF3TtD7Tsd/XNO2upmm3NE37VKczrKCgcPCRFDtGdQVI0bidnIAd6tmuL1OP2pBpmOH3GLtF7WW+ASPvIR9X2h7E/LaKVjj6rwH4cwBfNx/UNO0IgJ8FMG86dgbAFwA8AWAEwPc0TTup63q1UxlWUFA4GGjERzeS722VR9+LkMlmHLr5nksx4NoccH+V8fhhH3DzAb30I32Nr+1UfjuFph69rus/BBC3+ek/APh3AMxLaz8H4K91XS/quj4H4C6Ai53IqIKCwsFBMz66E+GOnQ6ZbIVDl/ecWQL+4R1gdZP72lbB7/Pr9O5jqfrX7rcksR12xNFrmvYLABZ1Xb9m+WkUwAPT9wVxTEFB4RChGR/diXDHTodMtsKhy3vefECqSa8C4wPcrao7CKwIXfyNdP1r91uS2A5th1dqmhYA8EUA/9zuZ5tjtmI6mqa9DOBlABgfH283GwoKCvuIVuQMOhHu2EmJ31YlGHpCgM8LPDfCxV1BHxBPAV1+blHodXNLwHrX7rcksR12Ekd/HMAkgGsahajHALytadpF0IM/Yjp3DMCSXSK6rr8C4BWAomY7yIeCgsI+4aDx0c2490SGlMv0POP4x0T4yMwytxyMBOnBv38fWEkCc8vchDzg5W5WPg+QygPdAYaHhvztlXe/4+vbpm50Xb+u6/qArusTuq5PgMb9GV3XVwD8HYAvaJrm1TRtEsAJAJc7mmMFBYV9x0Hio5tx7/L3vm5G/2Ty/P7mNLcUPD3OsM+v/D2wnmIY6GgfcOkG+flCmRuTb2YZNZQrUqOn1fIehPj6VsIrvwHgTQCnNE1b0DTtN+qdq+v6+wBeBTAN4DsAfktF3CgoHD4cJD66Gfcufx/s4Y5YYT8ljAslbk3YHaTgWjRM796hAceHgRdOk7LxuYH+MPDPnwbG+7latq+r9fIehPj6ptSNruu/2uT3Ccv3LwP48u6ydXCw30OugwhVJwrAzvnoVmgW+XsrOvLNuHfz7zLUM53j5KGUNljaoBFeFvGF/RFKE3vcwL/9Jfu8zS631vZ3K8/cCaiVsQ1wEIZcBw2qThR2g1ZplmKFsevX7/HP5azf1uR8gRlm/tzud7cb8Ag3N5UD8kUgmeO5lRpwb4URNkOR1vNeD83y9zCgDH0DHIQh10GDqhOF3aBVmiXgpZcdCdEgLm7Ub2vN5gvsfo8EmHauCCysU6ohX2AYpcsBlKrk7V8403re6+EgzGcoQ98AB3lJ835B1YnCbtCs/Zh/T+cZyuh1cwLVeq5Es/kCu99fOge89BT/X04A44PAL78IdIeAtU3y+BdObt1Zaqdt/yDMZyiZ4gY4CCFkB40PPwh1AjSul3Y53r3Kx17goLWHdiHbT6UKLMRowN0uYGJg6+8BL41tsQxApwd9Y54rUqMh1oO53M3mC+x+l5RL0MtQyiPDwKkxHpNyDeZzreGZXYHW2/5+x9crj74B9nvIdRD58P2uE6BxveyE492LfOwFDmJ7aBfHhoHVODA1A5Qr9NbTOXZciczW9jXSS6XL5TjPSecZHtnXvftym+vytJicnZphCKW1TduFZ07fZ+TOQZE4aAZl6Btgv4dcB5EP3+86ARrXi/m3xQ16W5EQ+d5O19/Dfj4HsT20i54Qn4f01j0uhjgO9rAc5vZVqVLpsidErz/kZ3jkYM/uy22uy+4g8xD202O3tmm78MxyFYhtHhyJg2ZQ1E0T7OeQ6yCEZdlhv4ehzepF/pYRKxkhFrtYz9vrfHQaB7U9tIuaTsOqmQRTzDtNWdtXTWe5zefvttzWuuwKME/x9Pa2bReeKfP7KBh54BAbeiuXGQ3zwdjxtubfWuE9W+WHG6XVynmd5sP3gt99mHy4RLN6kb+FJMertb6jUTv1Y5ePtSQ9vdemOl8H9crt0ICrdw4mb29Xp+3W207fg1ZllAGGWM4sA4k0uXhoAHR68tk8KaRihc5DyM+VsX1dna2XvXxmh5K6sXKZsRTw6hv8tPK25t9a4T1b5YcbpdXqeZ3kw/eC332YfLgZjerF/NtoL1+kVnY02kn9WPOxmgCmZsnl7gWHblfu1YRhhA4ab1+vTqPh9uptJ+9BOzLKm1ny86tisdS6kCBeT9HoV2vAd99mZ9QVoLGfmt0+utptvezlM9N0ff/1xC5cuKBfuXKlY+ldvcPKk7319DwfjvTqylUAOuByseNOi176jBDRbLRBgjVt8/lA/d/MaTVKwy4yoBM9fzv33Ema0/PcFxQaJ6xO72CjiXbQ6aibndaP+V4rcRqrwZ720mgH1nKnctyTtZPPtVNoVKfHhturt3bfg1aep0zzstjbtlrjStjlDZ4b8ALDUUYHBXxcVNXbRTsSFR79Tuq4k++ipmlXdV2/0Oy8Q0ndWPm3TJ49sdzgtzsIQKfUKLD1N6Ax/9cqP9worXa41k7x4XvB75rT3Gs+3IpG9bKTOttp/Zjv9drU3nPo1rK9NmUf230QePtGddpuvbX7TNuRUZbnvnWbUUDZIqWJcwV+30izY0nlgIuneK15TqFd7Mdcy6E09Gb+LZUj93drgbzaQMSIzQ356dGncvxfohH/1yo/nMrRE9iwifu15m8xZh8f3Eker1G+G81nmO9rPc+h7ZwPt0Mny9sJvr3d/DdLYyfla2fru53mey9gjTvvDtIB2Egx0sahGaOsbAGYX+NIO+yncmS+uLu5jnbqRZ4rI4GCXhr5gJffe8N8T2W7XoqxU9jMsYwvnNm6sKqTeesUDiVHL/m31QTjXQM+DssCPj6wpQ2+OKO9NGqJDB9mK/xfK/ywvG+mTtyv9Ty7+OBO83j18h0N15/PMN93bmV7fpIZlqFdPtwOnSxvJ/j2Tm99t5M8tbP13UGQC7bmW8adryWB7wmOu1zhhKd5juztGf7mdVP7/dL7wI9v7m6uo516kedGw8KL9xiUWK7IRVSJDH9fXAe+fYVG/omj9P5ffYPvx17krVM4lBw9wAfz7ctAPEMurTvAhxMTHsXJ0b2LujHfd1SsoLPjB+V55pV27fL97daJNd+zy1vvc2Pefs5ibhmYHN6en2KJ+d5t1E0nectO8O07HVHUS2MneWr1moO2Wtac71QO+NF7pD/6uoD+bvLgco4MoEPk0OiIZfLAUpyywB87a6S5k7bQTr3Ic+VqXXPUzZE+w0b8p38CNAdwfIj0DsD0g17g1356b/LWCB9qjh5gpQ1FucBBxt+GcuxBlxM0TubKbWfoJbk9+bDevrv1YYX8vGc6T1oGfRz2WflBa/4Ag6tL5+ktZIXRHbOkkcgwUuDWAuVWHx9jHHAz2sea7zuLbMj387zng3VgYtDQFpF5Wkkyr5KSyuT5EgS9wCfOba8jeY8Hsa1lqNegrbxlKsdr55a5f2ez6xulZa7XRmiXB25Ux83yJMu3IiI92pHfnV/j/9a6feax5oZsNyHBzdKUxvD168BwDzDWz/esr9vguNdSwIoYUctJ2ckhsRerjwZ9cR2IJYGoyVEyP79EBvgvb5HWSefptP3yx9n+zWj2PO0m7Ru1s8khlm201zgf4M5UV+/yfW5XdrnRM+skDiV1I2GWB03l6K1mCnwgu6VC6g2r51Zo3DMF8pLlKu+7ltzOwdWTL3VonPnPignOSoVcp0wjkQFef5fDX7+XntP1e8Dr15rTPtbfqjXgv1xlI+wOcgXi+/e3dj75EuVa15JGdE13gPlb3qgfPhoT4WnZIpexx1L169z6rKbngfUkudpWrm+lXjvJgbZLxdiVL5unQWxHfnctaczptFq3nQgJbpammfIbirL935g35r9SOW70ceM+89zlZzt//7541puk/TY22SYzRbZJmYZ5Pun//QHwtz8CoHOEMLsC/Mdv0vFpFTsNDR6KbA3cyBRYhq5g52SX9wKH2tCbubCFdRqvmk4PdrfLx+stR780TcnTmk5aw+vi73KTgnr5M3N18jddZ2PwevhSzCyZwtIyXEru9/AvEqSetlUGoJFEgKaRF/W4aECgc3hdrgCl0tY8vXCG93dozE+xwt9lfuzqZiPN+0SC9Nbi6fp1bq6LBzHeJ7ZJj66V61up105yoO3KEdiVT9fp9bYjvzu7zPbVTt220x5afS+s18lImo0036+aECJbWOf8VyLDubGhKIAaDfdIH9AXAd66Q4OdypEWkZO3a0nu1TqzZDy/2WURwx6k0qTXzTarAfj7NjYt3YkcMsD3IJFhJ1TTeU65Ajx3snOyy3uBQ23ozboZywlW6plxY1eZ3cjr1pMsXUkysufMODnIzRzvO9y7fYhWTzempjON0+OczNrMAiEfjV5PiPcuCUEoCa8bKJfFhGgDOVXrbzWdk0rlKvMaCQGfugA4nFvzNDnE+4d8zI+MlR+IbK9DeY9M3sij181hdr06N9fFSpz36eumkWjl+lbqtZND5HYla+3Kd7pJW7Qrx3Av67ydum2nPTQrR70003ljMVFXgO0/6Od719cF/MqLbLN+NzA2ABzpp+c+2A30hYGBbo4G/F7Wy7kJtsliiXu2yueXzHIyNxQw7u1ysj0uxhvnuV7+W5VDBvge/MqLpCwXN/j+fOoC6Ry7+tvpfTqNR56jr8cTmvnLrgDg1IB3ZzgUPDrAmfSdhnBZQ8fMkqVDke3D7VIZGOmxT8uOR5RDdqmrARiTUfLesyucDDrSx89imbvmSG/hjfepyNcbBs4J7l4usLk0TU40X+J3jwsYiQKPH+E9VxMcWkskRR0vx+nNy/NkvupRUjLk0ufhZ9jfmEIx10VRLL7aSBvqhl0BenmtLD03pzW3wonvlSSfjwyHm1sRdWE53giyvd1ZZF0cH+YLfG0GuL9Gg7OS4JxJNMzNK6zzKKkccG+Ncw+SIiuUWpffNddttca2Xq5slfu1LuSqVGlE5fxKuULDG9vkbydGgZNCovf6HL3PO4t8TyYGt8uHXJsFUnk+y4EIj5tpmsUY91sdipjmLh4jbWN+/sks62ViiHVRrnLxUqHEzmJikO3eHJrcEwYyOaBLHKtUed3RgdZDhevJIcsw60btdHLIaCdy4tn6fKQsxe1Fluf4SPv36SQe6agbyX8F/ewZ15Ic1j02TM7P4WCjTmU5k+/30lhIzwIO4KOPs6HmS+wYmnl+8p41nYbC4QBqNT54hwY8NkKu8EFMLMwCPeAj/dzooNWOxFwumbfHRoC7S7z3+/f50rpdbOCVKo3+5BDwzR/znj0hEc6W4UKPjz8B/Oh94Ce3WBexTdZPqQI8/zjP7+8G7i4D54+xXmSdnj9Gg31tlnk8d4z3tquzZnXUah2ncsyv18Ndf/q6+aL8youtT57PrZA77gkZC+MSGT73N29uP94obfNzKVdYF/E0sJpkHjeSQG8E0HTg6ePA3Cq9t+Go0Q7ME6AuJzuHcoXOwhNHm9ePuW5t20A/n9Xdpa3vxZs32eaHooxbf2cGgA6cOsJ3pVyhU1CuMtb99DgdiOU4vernTxvPP1dgB7ORNu6dzgH5MvDkUePdsz7zZMb+WXzqGV7TSnuRHP0/vA30BAGfl8c8buDf/KyIg7fYA9mWze84sP1ZAo3bdbM2Id/V1QTrdjC6Ne3jQ8DMys7uUw+tRt080tSNlSfcEDzhrQWDv8wUONM/3ENaIuRj41lNAP1dXHa9E26ynmTp5FBjGdZWUI96kDzsYA+/y/DHhRjlXF86x5d/OAqcnRB7YmrscHJFXl+p0qAUS3yhBiL0SgGW4+YDvhiyXszcazM5V2v++7poWIJiKXlfV2uNWl5fKPH6Lj+N/ECEeWtnBeGlacODc2jCIwwBr/7Q/vil6fpp2UnbrsTZWdaq3KVoNEoj9tYdw2s2z6PMrPAZnD9Owy/vHQ60Jr9rrlsdnBQfifK4bGeXpre+F4M9bOuFEtvkZpYd+kgvUK3Sa+8OsnNYidPI93Uxz6WKMP5pQ/a5VAWqOttY0EsnaiACPHOc9yhX7SWFrbRH0Mvv548bZRoW7WWoTnvpCQH/7T9jlA00dhDHhoD/5XPsmOrNG1jfcTs55Ccn+H87VJ/duxoJ0shvkUAO0Pnb6X12i0eauqkndXBrwTBelQp7zaP9NHaTQ3xBLt/iMNuMVkLwWpEsbSbD2grshuzWe184yXPiaSPEcSVphH+Fhoz8LG4Y3H40zM5orI+/ZwqkoJ47CXz/Gl9aCcm9ykiDRnKudvnfacx/vfDTdutR1ocZXQHWx8fP2h+vBztp24CPRlNz0IkAeOzWIhAJ8IWW8LqBdBYo9fDa3i4xQWyS42gnDFTmx1o/MhTWDLeT9XnxFNt+vijCGQvM9+NjHPnqMOZFAL4/GgxOWUaBAbzu1BjzLttE0Fc/ZBjYSnvYlamV9tITAv7lJ/hnhlVKwdp2rXnplLxIM1mKroDhoNiFIj8MPNKGPiJm5jfSbIixTUOM6NYCd3OXipVLGxwm//A6UIPwGky8eSrH2f1C2eDygO3xr1ZucqyP6Zt5tkYyrN98kxzu+qYhkvT0cSMGuFGss5wXsC4Ai4Y45I2nyYsmMsBwhAY8V6T3NS6iVzwuenWaBtxfB4pFvtwAjyfSwD9NG8vUF9aN8K9cERiMGIJOe7Gk33zO7UV6yh4P6YZcAXA6gbFeg8uW6wkuTXPewusBzk0CHzlFeiGeYgho0A8WVDMim967R+O3vsm2sbrB9DUYz8ScN4cGfO8dGvFSGRgf4IbSG6LON/OcC/K5SY3lS6QU3p8nBZIr0PgkMoy7nl+jQZgcohcNtMfZ1mtnhSIpL/P8kVssUgI4InO5jGX+8tm73UAyTbpDtm+XS8T8r3NitVYVo4SIcV3IMvdSTwZEttGdSni3KwcR9rcnb2KHnbTxvZDC2C2cX/rSl/b2Di3glVde+dLLL7/c9nXFMvDaNS5Y6ApwUmRqhhVcqpLXrVQZj/3efRo+v5fD1ayYiBzt5fXXZuntPjnB9+H9e5ww84mH9e4ccG+F5yQzNHo+NzsQpwY8/ZjRi/u9wP1VvhAup8EVDkTY2G8uAPPrND65AjuqlTjT8ol5hEKZaUTDHA5fuc10Uzka+Kt3yfF5XRwevvE+rxvt5W83F0QD15jfiUF6X8ksy7GR4v+FMsvidNC466Bx93v5cq8n+YJHu9hx6mJ0cELMFzic2/NrjeKQkHxmo2vM53hcwE9u0kjmi0C5Bmxm+GJspGh4f3yDcw43Fvi8y1UuyPmnmzRGfd00eqkcO/e5VRr2nz7PjuG9e0AiRUnaRIbl1HXSG5kCnQG/h7/94DoXzPhc9Fzn14CZVXrpFZG3XInPq190hKmcEHmrASubDFudj7E8HjHpuBQXHn6Y3vITE/Xr0Ix67ezkqEGhrCXZTpwa25bXbXDva0lGUmmawcVHxLxOTefcQ6UMLIhRTl+YbSmZJYce8LGuRnqNfPeEmadMnpO55Sqfk7mN9nXXby/12ohD47Nq1Has9VHTORl+TKxilRx9q/XbSntt5bmY7yvf5XbTrIc//MM/XP7Sl770SrPzHmmOPp7mkEj23IMRDht9ghP2eTib3xUQDdxLYzDcx6FqwEtO+sY8ObTzx9kgA17GpCczW7eks+Mmw36+HFYe0czbxTaZz1KFC0E0AN1+vhxdQR6fXeY9G8U6y3mBXIGGOVfg92KF94yngdF+dlaRIDnBgBf4zAXO+sfTYkI4TM93MMJ8HB0Qk1VlThidOSpeLgfgctOwDvWw08wVWJb377cff91KzLb5nFSOnq4OSkX0BBkdUqwYaxaSOc63RAJibsTHEZcDHNXVdOBjT7A+bszznI89QW/37AQN4EqS1MuZcfLdlRqftYw2kvlaSfD+3UGOFpwOjqyCAb7QAT/bQ18X63i0jxOgbheQKgBH5SpPLzsxr4ux4OP97Fzb3ZquXjs7PrJ9/uilc3z2kpP+yCngZ5+hAc0VmdZL59gBnhjlqBegR//0cbYPp5MyGGfGGd6YzW/n0mWeYpuGSNmZo2zj9fjyVtqIdd7B7nprfciwzr6unYXZ7nSNQaPw3v3aDvKRpm6SWTbAQQsFEwkAFx83jj1YB8IJhgWaucNYip3CidHtXGe5bFAaUoK3ETdphZ0M6/01piFD3QolGoFijmFn5fLWNOzkj61Lys2xy5KL9HmATz5tL6vaE2L0zsVTLO/lW4Zs8+XbIs7XQ29TGnSAXpEuuOSBCEdIVh64Gb/cijSBVfq4N0xPEhDzKyIPcs1C2Me6k7yyy8UOKxIU+irdpHrG+qg4+NxJfMCJ+z00WvMxY8JU09iZVcREqjkeOpVjW5M03t0lGslSBZgc5DPVNNJMfV0ilDAMfORxitcFfQwMcDk42hrtZRuYHKL3PBRtfwhv186A+vNH9Thpea0molwunOS137/GOh7vN94PHewEHxsBPnnePk/W+ZWbTfhyiXptxG7ewe56O969HXmTVvLSyhxRq1IY7aS5GzzShl5yYYkM45iX4sYmBpoYq2QL9E6TGfLbQR8NtUt4VCGfwX37PHxx1zeptzHYw5DF2CaH+aksPUKARiSZIS1g5h/NOjBSDEmmv57k6CCeMcIFyxXmpctBjtSsJSPjomWMfqXK+OT5dQBiUdWNeeP7xCDz1oybrBdDHPCSf84XSY38w9v0YoM+ev/hgMHHyvUCW7Zis8xxWI2WQyO1UK4YmiJ28xuzy/TGby5w5OT3kiabXRHx9H7SDkMRet5BL49vipjxdIFc8/OneZ+NNDv1VJbp9nXxOWYLLF9KUFg1nW3C6eIzqVSY3mtTxk5DN+ZpwDXw92pNUDs5thuPx2hfXQ4axWJZ0IkVjiByBSDhYBvwexjOWi7zHtY4eolmMf+JDOv/7+aZvk9EnYVFh1IvXfN8SCbPMMlciR3nyVGjjuV6CMCIJmvEde+EL7fOQ0mdm3rzDnZ8+075/VbKYJfndrFfstKPNHVzbJiN+ztvAYksh5KaRg/+Jzfpdc6tAEEPKZd4xvibW+XLGBArMMtldhY/vikUGYPkLf/zm/RudbGkO5Hm3pJ3Fnmt28kX4NU3yAcuC/2RlTi/v/oGfy9XaHBkSF0qx7TWEnxpjg3zxZ+a4blet7FQKBoW263N0FiMRNn4r99jAx6JMt3YJj+bSS+bl9aP9LLDWoozn8kM/+IpYx7BoQE/eI/12hs2JBGsW7Gl8/SQ7TQ85LLxdE6s4q0Y27eZpQmcDm7blspzFLGZ42Tmg3Ve73Ky3qdmGSYaCXC0dWeRbaFsUk18sM5O68Y8y/TkBD9vzLNMGykAmpiUF3zuuvC4q1Ugljakcn0e6pDPLANVIf8QF16+S0RvlSqsi0Sak5bHhkmjJDPsJNdTNJJOJ++fFO1wLUnv2CpnLSHXAmSLNNpWadxEhjpHSxtCH6gEzCySlpxbZd6bbmkZBC7dYKcT8rHev/s24/IjQp00X+KflN9oJClhlW9o1iat0sbpPEdBM0t81o8f4fGMOL6a2C5r0Uh/aid6PnshpbFfstKP9GSs3yMMc5netM/LCiuV6dXpOj2v0QGGwNVq9HbKVeD8JEMwn5w0uMOlOL06t5OrSSsVvlQuJ43OkOD9F9bpbYz2Gi+ywyEMYTdfFE1jA+vt4vUOjd6dx8UXfbAH0MWE1k+fA37qST70vKACAl6uVOwK0HhpGl+ykuD1g34ey+T5Mp6d4PeVOCdKL5wQHVOG+XliwvBg/B42+HSO9xzq4afLyU5jYYOji94wveXBKOtFr5GGeGKCcyAyjWuzLMeZcUMYTdP424gIbZy+z+czEOEzyBWZj6GoEXEC0HsO+piXUoX1Vxae85E+pj8YoTfr93ASfDkO3FniZK3fS4/vzDifyfwaDfxQlPXeHyHXP7PMqJlnT9DLLFfZPlxOGhXJ4cv1BKsJerpuB/NSqpISGo6yzkIiqifg5bL+yWHgX3yMXrGkTxJprpA+Ocq8JLNsT48fIV/e27W93gCu6nWKkY+m8RqZp6cmWbf31wWVF2S6VV2seO4V8sCR7elO3+ekYMBLWivgZUebyrFMw1GOIn/2WUP1tVJl3T5/urFHbG5jUsu9UZuUeekJsQyFMifDF2NUeDwywONFcVzXgX9mWYBoLo+mGe3w+hww0LP9uLU+mpXBmuedoNNptjoZ25S60TTtqwB+HsCarutnxbF/D+Bz4JzNGoB/rev6kvjt9wH8BoAqgN/Rdf27OytCa8gU+EJOz/MlTaTpsQOkMvwirGykl0ZiYpAUQF+YS5QBGrqM4FWP+o3YYqeTL+ZYv+B2wQb2rZ/Q6EgZ4rUkDcL1ORqXXBEIeNhxDPbQIy2UjLjp1SQ5T4jGVtPp3b4zwwZYKLHjubfKhuETBvH8Mf4u1Q81nZORN+aF4fSyvJJXbjQ87Qlt3bdT12k0uoOkTAa62bEsbYgl3EOso1QO+OsfGGGc+RJHEpEg8PoUO7PBHqA3BMxvUL87KkSnTo7RKN8XMrvjA/QczcPqK3eBs0dpaCRqVXa4n7nI76kccOsB8J2rNJq5InBijHUqd73aSBk6KWcnjVXKSzHgzRtcKboqPOneLqbz9GPs2H7xowyD3Ugxr2E/z/W7DX51U3jyq0l2chdOsPNP55n+a1PsZD7yOPDiWcZPvzbFa+4s0hAXSmyP0fBWzRsrX9toLQDAeiuXaYS7AxOOJ4UAACAASURBVKS2pCjY4gbb5EgvvX15vkMjFZQvsR3eXQJOHxFzCwV2pHL9RU+I+W8lBrwZRVKPL7euETkzbswRyHUd9eYd7NKQaIffb7csraAdKeu9RCvUzdcAfNpy7I91XX9K1/XzAL4F4H8HAE3TzgD4AoAnxDVf0TTNsiyps5CyoQ6NXHy1Rp7V7TR0PAJeGm+HBtxeoOe2nAC8XnK0yaxxrjm22O1kT2bmFdeEdK5ZhngtSe89V+Sf5LFTWeCdu/SsZNz5m9M0XC4HcHOeXlmhSBrm/iqNeyJLOddElvms1hgLvpY0jLxHCKbNLtEYeZxsUNfv8d7NhqfWYa5XLG9PCX2cWBqYX6VhCvpo0G4vcPI2V+CuQNfmSEesJhk6t5RgR/TOLPDNyzQsTgfzfWsB+Jsfkk7zifmRm/PAe3OUXJb56A5wAjhTMPKqwzCEqRxw5Q5w44FQbvSyDuMpdo75EjvfUonPNxoyyrUUA771Flen9naxI3htCnj7DvMpZZftpKZjm6IOlulVSt2Y1QTbU7nKDTb+84/4HHq7meY/vg186zLr26GxE7i7RPoq5Of/C+vGJKUdX2uVxpX1MCQMYCTIEZjLaYz+FmN8uUM+to0f32AHI+VyL99iWykKmrBQYp2mclvnXeQ9WsFOJY9lGeykpe20o5ptCbibNDpRlk6m0Sk0NfS6rv8QQNxyLGX6KmI2ANDL/2td14u6rs8BuAvgYofyagspG5opCGomL5b2dxt7PsqtweSQDxCLYib5uZakx5MpsJcPi4ker3h5zLzizBJ7Y7MMcX+EMb6PjTAPWeGld4e27qyznuCN3W7SIx4XPZx375HzDIjQwFxedE555s/rNuYjZpbpjfR3i6XcYvHU7Ao9//FB4N3Z5mFb1jAvuZJ4Zgl4aoJGPl8WSokFQ2e8WCZ3r2n0TDI5g2rKisVDuk4Ps1pjXYZFKOlGWsSPe/iMPC6mLcNYNQ147hSN1ewy6zAplDKPjxgSv3GxS9iRftbFxCA7ggdrpM+gc52E2wF84rxRrqlZ3t/vIb2VLwEBN7CRoecqZZftpKb7utkJB70c+iczHPENRQXXr7NeYmmmP9zDskfDvLd8DjLczutiJyQb44NYfb7WKo2bzPL7C2f4+7Fh8ug+N9tPtsh8O12s1/4I617uXbC4wec4PijmjMDnn0jT2ejr3n6PVrCb0MF63LV5LqjVLQF3k0YnytLJNDqFHU/Gapr2ZU3THgD4NQiPHsAogAem0xbEMbvrX9Y07YqmaVfW19d3mo0P9DM8LsYx+32kOJ45wc9IiItXZFzrUJRG5uQYX4CTo/TGXA4aDHNs8cVTwL/65NY43NE+NhCzDHF/hPH644N8SbweeoxdQRHTHqLR6+tmZyDVA2VY50ba6FT6hbCUDvLAJ8cM2eLRPkFHCG9kpJcUSblKo3x0gJ3ShhiSNpJAtcrMdgUotFQok0t/csJQZvR7gCfGyW1LOWOHJjzBMg19fzfLmMqLbeG8/A7w2VRqxubKmTzr+8SooQcjMdpL2Ve5MCvoBX79Z4Cfv2hI/AKsFyk50Bsmz332KOsmX2Jd/NxHGAYry7WwwfuODxhccDAgZAkqhuyyndR0f0Ss0zhCzyxbpK7NU5NMxyVipqtCRVHWrdynWBrp4SjrN1OgR//R06zHlXj9OO96GjGSBpEx8BdPMd+1KqmsEyOcr4gEeV8p+ZHJ8zn2CSkMp+C1T4h3Qm6N1454nF2bAlqX4a0Xez451LrkdCfS6ERZOplGp7Dj8Epd178I4IuCk/9tAH8AOqDbTq1z/SsAXgGoXrnTfAB8kP/Nx+z313zmMYMPk5Ki91fZ0AEa1zPjgq7YpIFxaJzMvbXAc8zyBMtxzgEcHzZExVYTLPi7M4zQ6evm8aUY0wv56Um+fw9YSgJ+Fw1jLMUXMCD4wnurhsZ1t58TeneXmK/379NQRsPGYpyBHo5GajUavVKF/8uYcrNcqpkjBOzD2Nwu4KLQz4kEt9bn9Dy3HlxNcFSxmaM3rGn01mMpGgyvOKY5jHC8lAjZK4iFORODzG+hBISFLIMZbvFM5NZsEdMLGfByFFEsG4a+WOY5P3UW+PSFrfuVTs8b1EhGzAfoGjAgqJtUlp63lPedmuGIYWrWeMapHFdGy92ENI00XzzD0dlIlOfdXgBmV4U4WIKdi64b9RDwck4m6GcnOL/G5xLwUoup0RZ0kSA9UxnC+49vs40GvYaUsNRUCfnYvqWMhQwjlSurQ352SHeFZ+n3CNGydaZxaswI37TjmOW7UK9N+TxCH6fA9yVTIEXW10VHJ+y331fYOm8kN+upx2nXy5sd2uXFG4VBtsrd71copR1akinWNG0CwLfkZKzlt6MA/l7X9bPC6EPX9f9D/PZdAF/Sdf3NRul3YnPwetK+VolTO/lcKc372DD5bqv0a0+IL49VdvTcMRqrN2+Cu+aUmd6cUCgcinLCdH6DW6SVq2Ihlkavwi9e0qEe8sYL6yIG28mJXJdTRJgMcqFNNMTJYacwjJkCJyV9gspZiJHG+dwLIiQzDkDj5KhVQjXgaywJa63P2WXgGz9gOGhA8NOpAjuprgANfU8IODlCjzhXpPHrE/kKeg2jF/IBRwdNdes38mgnLWuVff3xDVIdZ4SU7maWk+MviclC8zMulNlhOzSWc3GDoxSXk/W5kQYmB4CJYXLqAe/WXbOODZOWW4zRcP7wfVJCkrsvVYB//Ung8aPsDL7zluF1p/I0rNEQIysCXnYs8TSQrwBeJzsNv5fyvueOsQx29W+W4La20ZTo+J5/nPX75g3m9+gg50nKVXb+0nMfiADfn6KhOtLHEMz7a+zsTh1hm+4OAJ/7KNcG1JPg/eCYaGcBryGdXK2xw13ZYF1PDrOu8gXW6UdPb5fpbeUdbvS+27X3ncoAN5MK32kedytLbMWeyhRrmmbuG38BwE3x/98B+IKmaV5N0yYBnABweSf3aBeNlh1bz7HKoRZKJomCgoiCEAs8IqGt8gRWqd7YJqmhY8M02kVBZbhcbHADUYZ7Zgp8CQejHOo7nfyDRuOVK5AXHo7yHgNCc6Wmc0h0fIi/VcH8F0So5Ytn6c1pGnBskNEFfo+QSw0xD2aOMJlhWaScggwttC6/t9ZnocRwwuNDgnvuYh7lLkfnJ43opQsngJ+7KGQZUuyEnn8c+KWPi9GRZkgr//xHjKX55mX8ZvlomWdZ/x89wwiRRcFrPzlhGEjrEvy8GEUMR0ljnB6nR5UrsKP5maeBi6eNPU3PH+d58hm/OS02wTjK80+Osl5zJX6em2Qn7XUBp0ZpXIejQE7MUYz0sWPLFQV9IiQRanKzjEHmyeHAB1tBAvUluG8vbm+jpQrbUDzNKKmRXnaCUsZCtoMXzrBM784BTx3j/gTpPOt3OMoRYk/I0KX/+8vbOWbzs/jgmJALGRSqnJEQRy7xFKmg/i6xuExMFJcqzGejbfeacdp255plS3bLiTeTCm/lHq3YpIeFVsIrvwHgJQB9mqYtgBTNZzRNOwUGpdwH8D8CgK7r72ua9iqAaQAVAL+l63rVNuE9QCvDMzs51C0SBVWDEsgUaMhS+a3yBGapXoBDY68b8IkJyqIIWZODJZ/H8GQ1jR6e3BGoO0CK4N4a+V+5ZHxmiUahJ2To6Ms81XTSBToYvichw87ksnSrXCrAl0zya+YwNrtwNevyeqcDeFwYpZllQaPkSeP80gss82aWXLFZTtgsLzHay47AKtlqt4zfLs8y35LGaLYE/63bQkVStHSvWwjX6YzN/kAiorY1uueDZyxinSMhIf/QzVFWrkDDeGacHvyzJ4w6+tgThnCcz8PRR0HkoVIVawGEbMcxIZudzhlbQQL1JbhvL7Leze0BrHqkpZRwkEZFyljI52Iu08fOGDH5hbKIChGRKW4X87sYb9x+JMxyITWdDk+lwjYtxdQKJeN9qFSMvJrDHNuRB7A715yPZte3gmZS4a3cYz9CKe3Q1NDruv6rNof/osH5Xwbw5d1kaqdoto1Ys23Fwn5joY4GI2rH7WTo4OVb9IBdGkPR1jZ5XrXGdDxucqGxNNOS3JzHyUlAgC97vsCoEI+L3n65ypWJsRS/F8ULXyiRDlpJ0BDVIOgPtyG+BtSXg729yLz53EKyuMAQwZ6wEa4nr5N8bk03tFzMPGokSD49V6Cgld9DL7VYNqQN/F4j/r2ebO1ijOWU99sUomRZoSzq0DhCMesXyQ1UZFllGnLrvWTGkCl2aJwYh87jsU1SYgGv6DD9fL6l8tZt72THJfWDZL6HIjy/WGannC8Kg61TrfKt20Y+IkFemxMdv1SAzBbYNmRobtk0cgREp+80toIEtvO7Mq/S2za30VIFKJkmu4tlUgSlMhcUFsR8hpzjGYoYsgc3HpBbL5UN2e5yhe2uVOaaCUkRjfTy3FyRbUBKEcgR4eVbbEvVGke0QS8XMBWKNPbligh8EM9+et5os7L+WuW05bmVqiEZspTYvs1kpzhxuy0kze1kP3j3dvBISyCYYY1ZjaW4TDyWsv9ujmmVYVnRMF+IeJpefFeAQ0xNo7H0uhln/Y0f0kvze6nueH+NMeWzy+SMqyYd/C6hDyMnyEoVYFVs3dYT4ssT2+SirDtLYk2AQyw1zwJ+J6+9H+NQPOghvx7b5AuzmuCKwEx+qxxDLMXww1sPuBBrIcYylSoAajSMV26LCIwy60HG4F+/xz+X06inaJi0TTxD79PvFfHraXq1tRoNayq3dXm6rFuZz3Te2N7w8i1OUN9a4O+6zuM/vmF8zxVpoCOBrWm4neT/v/UT4P95zZAXSBeMbQi/+7YYQYWZ79llXudxGhLPMr3BHtbd1Ay9X3NoXiTEsh0ZoOb8UgJIZwDNyWf9+BFTHY2wTmpCOC2ZZZvwOCkfHQpwtFGt8by1TebV62YZ7WQqdJ0GPpEhdWRtox4XyxMNsz0tbdCIDkToJGyKDUVWBc8fCbFuNnMcUQS8XCSXLxmyyUsbQkxOp5F47z7wzUvGgjgpRTCzxLr3eViG7iB5+lqNbRo1UiouoSGk6yI6K2e0WSn9EA23F0q5Gt8qGeJzs+Mwt51OyAuYbcvpcbZ/azvZawmD3eKR3jPWDBlRI72BG/N8gUN+GqLpeTassN9Yci833H72hNFjy0UwMqJBEx6m30vP779eo8H2utiQvWJjiU2h/+FykhoolmkcxvpJV2QKNK7XZ+nljIuJr8kBYxPpVI4eQ0EISA1H6MXLjby94mV+5jF+elx8IeMZI3pmMWaUG2C+3r3HYfnJMSFR4GQ5cyXg6WOGxwmdx8f6wHh/J+tK1tOxYeCN94SXWGLdDPUwTTkKyJfooX3m4tZJ8G9fZj57u+jxetwceSzHOSEITUhIR5n/SNCIupEvkTkN6U1+8xKlD0I+RpJ43HzO8TSNbr7INiF1hkI+8vITg3we5vQAevbFEldCmwWxpmbYIcVSfFYuB/n1c5Pk4a119M03aUiDPkZQJcUIaiBCiexske0tW2D7tNvopN4I1dpGrRt4310SuvxioxC3m+2xy8+2LicIiyXmGxqfw3qSo6Ggl/NIUpp6XSx4czhIFZ4aM0ZVqSx5Z+vG424nqa3VBJ2SbNGIulmO0+EwR3yZ66/V1aj/9RqfhZRDHu3j845tbm07u+XErbbFLOB38WRn7rFTtDoZ+0irV5ph5c6s24hZpXwB+23FrHyaWb61a5xeWX8Xh7yS9/W5AD0IfPpZvtxmjtrMIf/Ll7amJ6Hr9Jh+5mnG8QP0dmV+j/STNpBc62kTr95MDjYa5mSorht88GbW4PhPj/NeXmHoN9Ji8ZS4l7meekLALzzPP2vdmMti5futsrXyfpUqX3C3oGYyeWOV5lB0O/9ut7VgKk/DlCtu3crv5gK5cjupZjk3MLuyPT255Zu5HVglAOzKba2joG/rOebnKTen/qmz9ecZ5H3tJHfrcb7mmPdomLRSd5AUj1liejHOeztM+T99hHMN//aXWD65etfn5paUmYKRjlmKQEoUaJoRbmzX9s1oVn+tctp2W3ZK+rXevXcCuy0kW9lO8yDh0Bh6yRNvZukxxjNspEcH+XLFNg2J2lSOHcFbt8mb/vgGcHQIOD1meNe3FmgIrZxxbxhYTpK/vH5PNOoMNbsXY+zl5X60vV30Ot6Z4W9y7DQc5UskFRmlXPBa0vCMHqzTO/Z7DDG0/u6tvLeVA5f18N49fMBpZwuM7y6UmO5wlJ5aPE2PvivAa4plGtpUjhoymsa6ktoxkke1bt22lmRaaTFa8oiJvNemtnpUDg249D7rbi3B4bouRMAkJ5zOcrSQL9GwWOdVVuKGlv9CjPe+L1RIB4RoXbeYRxjoZlkkby3rybyuQKZnng+wxkpbZaflfIW13NbtFX98g3MDLiEsFhSd0G62tWsEs/cvyyUlqH1uY8u/tSSpmB+9z7rweQx1zpCPdXN70bTxjNNY/OZwGHMFtxaMNR4+F/DksdY563bjy+vFre80Tr0dDRuzdPJOJZIPAg4FRy+Xh68myKGbt1FbiAFXbtHLqwl1wzeuc8i/nmAceLoAXL1NbvHrr3FrOrlc3MoZj/Zy2OYToWbxLIeLmgN4Y5rUgVdMvL05DfzgXb4065vGdnWvvUOt96UNDq3XRCjg6+/ymnKFDWVmmcZkMCL09O8ztNHMC5q53M0sh9OboqFtJDlMz+ZpgFeT7ASu3GW9DUVoqFJZaua8c5dRElXhac8sGxyonYRuNMzOVY6eVpPkfqXxMMvELsToZTvAtO4uCR64i5zwzBI7tJUE8wAYMs9yXqWvm2sW3pxmfSzHuVo3V6Rhuy8WnKVypF6kaqLka1cTvE7O4/R1M/9WTjcaZr5jqa2y07EUjzsdW8udzvO708Hf761yFe5mXshqiPmPueX6Mr27bf/m+SlZLo+LnV4ya1AjU7McxawkjHDEFSGBrYNpHOlnu7u7ZOg/SS0or4v3ujEPQOeI8OYCabBWOet2pHob6cXsRPK3Hf0Zq3TyTiSS90PXxg6HgqOXHNr0fRqNSpUvXSRE/Y58iYtRuoNsjP94lZ7KaB9pA4+LqybjGZ7jcZNHBdhpmDljuQHFW7e5MMjlYBRLpcqX3ufhEFZueBJP0xOSo8u1TaaZK9LjGu+nt+h1U9vG7wWGezmp5BV8c6nKxSyFMstl5QWlJ/HWbUYEDESod3NnkS+o0yUMYonlHOrlVnKnxoyom9UEZQo0iEnnOO8X8FBO4rmTW+c0ZL3HUls3Zw/4DPkAgNfMLbMM+aJYJSsMc63GOOuE8IxzRY5aHhthvS7E+JLJeRYA+Kf3RYx8jROcY/00VvdW2AbcTsbZPz62PcoqlWP9mD1AySGbOd3Z5a0rqH2CTnK5OLqbW2a+ZLlDfmNl9eQwO/d8iWVYTbKs/RGe81NnO+/xWTlkc7lCfmNEks0z3/E0n++9VZYhGuJEc3835wqmxZzTgxjTGOjhfNGRASFLfY/e/5hYIxBLsV0PRbbObTRCq96vXdns5tZardNm6dU71xrtZZ6DajfdTuJDxdFLDk3G8EoucVZ4kqkcOe5zx2kwrt7mA6npNPT5EpUipx8AY1F651WhetkvdoFK5YEh8PPMOI3gxwP09u6tka4ZFxN6Y33c9EEDf/d7jM1GljdorH1e0gujfcxrpkBjOBklp2ze4m8zx4nUhXWqWUpYG3nYz8b14xuMBNIcXNjkc3NiUgdHLSM9Btc61sfjNx6wAR8bAqCJjUjcNP5ZEavt9xgSw8ksh/hnxg0jLHnoFZFHaWDmVlnW3rCxyjNbBGoa5wPCx9jxfu8d1tl60jCkcstEGUI6u8y66++mcJjkZ7tDoiw68JnnjElUc3zzZg44Kl7OD3byylEy+DOPGS+ubE9rYhMPKTvt85LLlrK3m1mqb66lqFHkcfP4hgivldo3AEdlNx8Y8gCnxlpr23JnqbkVllVSjGaDZuWQUzl23itJ4KUjxrnm9SKREDBaMeSbPU5jrUhGjGqiXdvXReg6R6ELMRq+4ShHACM9bGNmo9bICLfKxS/E2P4yBWPCVdatXTqJjEHN2YUJ7zRWfycSyeUKHa5m4d0PA4eCujHHwRdFY30Qo4dfrVEytlgGvvc2h/bhII1b0NRT5/L0etc3+aI6HPTm3r0nlCGFFrnPTQkEuVrxxjy9yW4/jeJGijK6mmbco1Kj8StV6PE6nPRuK0L0q1QxQjHlBK8sS7HMtG7Ms7EPRek5vP4udxUyh5O+8R6H5lICN2Hy1AE2vKDXkF6WWjDZPFe9AvTWbsyLzRnAe8dECOBakh2VvKesCznxG/aznOubXBTTHRBDa7HZSzxNgyV1WACmly0wHbdY5FOpiR28xPPRRMx1pQJ0hZivmHhOGTEH4XaJED9P/V2FrFLPlQrP97m3DrMlB7+W3Co7Hds0tjC8Pgf8zY+4HmK4B9gsMMT2+hzzPbMs4smdHLm8NsX0A16O2q7f4zNsNLSXO0utp+hYSIrx3ur2/EoZ3lRue1uR58rzpFx3pcb6drv4Xkj9p5Cp7ck5DnndnUWOUhzgM3ywzrKUq9u3BeyEzK9VLvrGPJ+BHQ9vvqfLaR8mLOeczGhX9riVc1M5tmmvp3l498PAoTD05jh4yUnemAd6I2Lo72OjDPuBt24xHtzt4kNY2RCLQ8SkXEDEvK+JTRo2hCDz8REh5zvC7yWhhrghtp47MkDDIXfyKYmFVgPdXCAlVSe7AkDIawidpcXEsMfFtCOhrVv8JbMAdN67pnNC0G4p+kaaaeZEYxuM0KgXKwZlkhIrO6X08oOY2PlKZ7RJb5jL1jdNVIffy7zMLPHv2P/f3psGR3ZdZ4LfzX0DkNgKQKGA2sjaSIoUSVEUJVmSLbVkWZbd7rasHsdYMe0OhSPU4VHP9IytccQMFRMd0+41YqbH41C3FLY71Fa7p+WxLcmWZFmULHEXWcVirSzUin1NJHLf7vz47q178+Fl5ksAhSoU34lAAHj58r27nnvvd875zphFbazaYmrOpIu7Ns/ddjTCd0vJHVexzJ29llzRJGKZU4yUt6kdKlwkexKcCJWqitAUdBEc6GW/zqgdvpT8brHCE0Iyzl2wM1TdSfUMwfcd3d8cxq7hm+F0M+30kKKGfuYU8IOzbJveuMp5ECEb5w/OcpxVa+yLSp0wU7HMBUInIde++e3C858/byKt41H2T2+chlBneTVWPb20eazoe/V9mmytUmHbDveati+UaYfK5Fm+/YMG+wZUOVTWLyk5xlcUHGlj1jtF8+ukixbC1MXtfv3OmRVDiGfTLQDbpz32cu/ULK8fHWOZ9SlgZePuUBbfF9CN5pS4OscBlysCEFRqOtpvMQPICo/vn3i3iaaUAPpixhf65AR3pNcWgP4qFab29QUMne+Fm5zcwQCQ7uEkPDRCpb28zu/92oe5+1pUi4EUvD4xzMFwaYa7qpG08aMGWI9imf74AJN8jA5w4upyOEPRc0XFU9/DyVetkXZ2SNEHN6z3aJ/rN29wN3pgWC1AKmvRYoYLwLtPckDKBpXD+JDJ9uNsi1XFu//UcZZrPU+Fd2jSuLwFAhzo5Spx+GMH+NmbN0iLMLPCehVKtHtEI3RZ/fZPzCKpj+m3lDdMoazw9ZTxiJDSPavQvjSfM7eq3GUTLJ/+jg0HjA0SXgJUMpoYFX8yqtwYBdCf4POiYbW4hYHLs6zTI4doz5EAIMmDY3vcRMNAptyeslZnlppeNt9NxIiHO12D9fifW9s8VmzXxSePkcBvdEDFGMQIe506yEU1Gmoee5oS5OQxspeGgypfwRLbUQdQHd3fDEN0SxXgJpk8+0x7Wa0r5s9k1B3ysN+ZKza7JOv3F8umrVY3uBicbME/Y7drt/eWqpwbug+c7t5baY/tyH2h6G0ssDfBn1HFRwIo/+o0cLVI5Xx6itdHB5ivdaiPg/XCTR4PexNUfimVhHq90BwaHw4RY+1Z4aKQKxisWGPlPXETkv/oYSowTRuwqCJjHz0MfOqnzMDReOy8ggc0VWxvYrOhp1YDljYMLYOGilIJ409dqgD1UU5MOxBldcPsSuzn9iaYcPuhQ1wQnNQK2q3MDjvXbfGhR9XR+S3WOxyiATlnBZeMpPl8HXz2+hUuuOsFTlC9iOjnHtrHuhw/QKjl/E0Gpx3ax8XyxPjmOgDNWYWc1w8M8Wc5y3a4eKvZPVLLxBCf+9CkuaaNawAXyOsLBirUCW6OjNAgaZfp1ct0G82t0M0yGaPhfyXLTcH8Gu0SN1Vaholh7gRXsjRU68xR2otmsGczhGBj1c72uDrHer5wwWwO9g+Z+2eWSXQ2kGqPG6cVfDK3xl324VFCKrGwCnpz3NvO9bGTEbWVW6PdB27l0+9MxbmpWM5y7tl93I4O2Snd+PXb92qab6DZvVufcKQ0Y3w3ZM9DN61wuUcOK2PZdU6kN6/z/3ccasbubBc7DZfMrRpIZSTNgWyHPGs3vViEE3C9wIm6ssFdz8wSn6vLs5ZjZ78+xcmmlcNazuC0Go/Nq6Nzvsz/r81vPhYuKD6dWIg7w2pNcYwo7LtYMRQK6YRxF3TipW4h5066ATtMPZNrdrmMhtlOmTzL+dwbVEw6bP7sDeBPX+AJQVMWv3iBi9lajgbfdcXfcn2eFL+Z3ObnTi/TWAwo2oKbdLMc6NlaViGnW6h2j7R3oO2O7dpt8+YS+zIUYDkv3SKbqNPldSVLBdsTZ7/9+Dy56Cs1nnL+5jTw3Fli8QDb5y9eAh4Y5feX1mlvWVG0B8cPdAchfPs1vkfj/NMrwI15uqm+ermZUqIdbjzQwzKu53l/XvHzh4Kby9Kp/drh9924NbZ6Z2+CG7dMjjTfdh/vhiukk/ojoRhMbbdVPcZ3A6ff8+6VtluT3pFD0hWuL0lM/sosoYJ3HafPuH3PqclmFzttbdB3gQAAIABJREFUcCrXHKHxVsizdtO7vsCBtJBhGrtQkANnYgh478PN5XlrlruLYonh5e88Spriep1Zii7eonK3d2k608+v/vTmgJihPrMz1hN1sJfKRAd7nThAOEi7C7q5frmFnAOGbsAZpn72GhcTO+w8FFQulDXWqVY3eWKDQeDp4yYa9MfnqLjqDe5oJoYIf701q9gNBXfRzueWqmahDQZYrqdPtHexa3Xd6Raq3SOHer15jfzkLRrpZ5bZx2t5BsydOshMWHaZXr7MjcJImgvbS5cUxUWYVBbZPN1iA4pOYiVHHL4uqaDeccQE9o0PuHvdOMUu94sXDN1Bta4W0SLHZDDA9nz06OYds9suVrfbrSV6mgmwzKcm3ROHt2u/dq6I3bg1tnrnK5c5xiJhk/xn0Dq17YYrpE39MdTLcZ/JcRPWm2Dkdii4vfe+bdwrbVxuo9jsknhqEtj/HoZp//SjuJ002b4HIGRgh0035OYQbTvkWdP/5opm8JyaVFigNBGwdnm0j3hyHxV6Msb7NE6r8VhbehVmDmymDLZpGYDm8H7npGuHl7Y6mrrRDcQj9IDQbalFY+KpGJCOmbD5vAqbb1h7iXCQLnlCNIfnF8qEPLIFw0VkP3egx2TOkpJtrfHtVnVodV1jv3ZErI3Re/l+tcpUfccUfCRhGc+t7+q2F4JwSUO5tb6iTlRzqzTYRkPceORUVG+hzIVofBDY/3R7SoF29T59lcr4wk0rOlfh/A/uZ/ufsuCpdrix3W564XZrNy/t1w6/78atsdU77XbX4qTObvX+nRIn9cfGJeVWKwxtdLv220nZ84rexuUCgrvIYpm7zWyBf69tMDtSNGRohZNRY+By4p1OfNEmMQoI/n2+xl3WtQaVVyhI/phyjZ4Pt5ZNqP/EEJVUrWEMe4BiL1R455oKYqnWeDyuqmxVowPc4dg7ODeKVhvvc+6ktEtZu1Bxr9/R2Het3nya0J5NOuQeUNhyvZmGIKw4dWIRc+/qBr0/XrnMU4qNYWrWz0vTVILlCmGIvgS9XGzZrRRv6aQhCtNpAstV2k3mV7kQax9uJ61tQND4nM2bzFeRIMdlrWZSLJZrQLRi6DQOjbQuT7t6j6aNi+qNRY6puqTyt+mfne3g9kztdup2EupGOrX/TqTgs5+hbU23ltjGcWXMPbrfO22D3R5u/vnO4EW3eaTdViGa3VZ3g+J4z2P0NhaWVSHdjQax5hfOA99/gwpHwHiDvHaFSnV8sBk7dD5TY6ynp6jQJoYtzD1v8rzqFGHTy4SJVjaaQ/1fn+IzIyEe43TqvXM3qCgmhlnGN6/zJ5vnMX8lx0nv9Jt2o2i1MW0n/pjJsX1auYm5YZatvvPMKV4/PUVIRUMBiSjroI+mxQqVuIazbtsAVAYi7Qo7u8rAK+3Gl3FgmFLS5rGoDJYbBROQlcltxnW94K5bCZ13fj+dYHvrus6uEH+3bTNnr9Oor2lttWE7kyO1cb7E43w8wl39WoEQz9wqocSDI6Z97bra0qnez5xiGy+tq/wBNZYnAJ4g0onN7dDKpqOpHzRBYM7FtuG1/dq1/3b7x36GxsgXM1yEtYvlYsY71bAX//y1XOd51MptdTcojvc8Rg80Y2E6I05DMkCmWOHRtN5g52by/OzoqPJbb7Hzc9IKHB3jDlZj7pdnudPK5LhTPzqmkoWUgMmRzaH+B0eImW8UCcdML7GzHzlMBVCrAd99nZO8ofyTxwd5GohGmCrPxvLcKFo1pn14bDP+WFa4oNuurxVm2uo73z9DjLZa4y7lgHq3zlBk2whs+lxncunpZS5soRCpIJbWDS9Lbxx438M8PRXK9PSYXTG2iCOjPBK74bp2HVrhn9sloNLUxRenTWCZJr9z2ooODLEeb80SLhlJEzZczHD8hIKEVbTXTUDwOX3J5vbtFKbfqt5//iI9nJaVUXhskDv6QyPGhmO3QyubjqZ+cCNz6xZj9uJ1s12CMFsvbBS4wRjq5cm8UqX9yElJ7Sbt7ICnLBpvoPM8anca2Iq8bTB6PSDmM83+w9kCj6rX5mmQ0XBAb9JQAmjM0w6bthv/iQdNCPbFW5yIRxRfd7EMPHIMTenzXr7IiW8fZzV2+8D+Zuzcxtm1z29AcHefK/GLGyXSGKxsbMYQ3ShaW/mPV2v0xU+ocidjhnfeLSw8WzB0Cw/u5+KTU23wzCn17iN8d7bAKMvrC7Q9fPLdwK98oHnw2vS5WjQltAS/t1Ekbqzbd125s1YUf83kMBNoazfS9bw7rnub2qBofK67we+d46rd5PzQo0ZRPneWu/V4dLOtyE7hp/tsP5rppm38vR39s1Pses8sK3qJkknuAagFZhz40GMGqmiHDbfC0PXY6mTbcGtLe1E8rpwEWlEX6Db22j+tFKbGyA8McxNVXFVBg2n25RMWJXUrHbCWo0E9KOi6vJihjSlf5GbPHmc6XuT8goG2xgfVu+4ynfGehm7so9JYPxv//E3umC/c5KBKxhj8NL1EN7himYpLT952R19nCHYkRKW2skFl7gwTD4eVz7uVX7Zc5fecOJwdMq2xu1BQRdoGOclDASaejkdb2xFssTF0LdkCXTo1Q+OC8oaZmjNsjHZYuB1CHwoA332N96eTxuUzX+L92QInx5VZPiOdUqH9Z7y5jK3lFAWCWugiQbbv6oaxn0RCbNfb+CZMmztx3cWMoTbQ9AtzK927r23lqD46wDa7cNPQPmtq4FZ9o6+3Gxvt7rPrfeEmldRyli6YmRzx/bPXeTrSZdPKX1MauI39VjQBXsvvbMvnzrAcregfunV37Ob+gCAVQUSRF9brHGO6jtoe4fY8DYPGwjxV12o8dU4vE24MB5vHmaby0OOvVuP/Nu//3ZI9rejtkOcDKto0IIAzV1QKuV4VoABO0nnFIz/Y4/4MZ2iyMwR7fJA7zOsLdHtz4m3pBO+3sdtMjgqwnZ+xxu5CAQ7GoFqQwgGVTDrR3o7Qzn9cUx0fGuHxtSdO6CNXMhntAfcQ+iXl0jbYS8w4neQuZ36V90/NmjR4AEnd0klSM3gJ7daBKlJych0YZvteWzD2E+3XP9ijMPw8sX0dA2DjulNqwbHpFzQUsdVx1SqUXo8Pfd+E8qjRJ0ftgWPbgdr59rcaG15C76/O8b3rOWPcjYYJUaRTpj+FYP/alAZuY98eD15jE9q1ZabANmxF/9AtXcJW6BWG+1RuXTUuSlVT9lbP0zQaR/fTVgbB/jx7jc+ZGG4eZ5rK47ZB8B5Q8Fr2tKLP5A0m35vgUTgVA6aV0eXJB3lkPTzKgZ4rstOePmlc/uxnaIlHlBLPG8rdUIjH4ZMTxDfjEYaJP3LI8HR/8FH6UT9yiJNAh5J/8B3ux8onj/F7tTrvOz5BSuD+JHeIfSnCFT1x3uvM2qS/v7rB308eY13t6+UKj5paUer8orUaIYZ4hG2hvzO3xrY7NWlC5MMhQwfQmyCk9OQx49sej/K9yZgK4Kq2D+23+29fmv0WVv73un1vt+k72K5DvWyTZJT1GeptbpP+FO0UqZgJ6Dk5yed7KYuzXHpM6KxXt/3PHePDHn+nJtl22eLmseHWN/p6u7HR7j5979gg37uUNX0RUu2pk5Trss2tmec1pPvYt8dDu7HVrlx2W1arZjMA8O9KzfRLuznYqX863d+QpCJIJ7lhiYY5joIBU/ZWz5vP8LfWLeEgv5eIcZzW6s3jLFfiu8JBMwYfPdLsXny3ZE9j9E43rN4EO3N8gORcAVD59PfQ+GobT3TaOeczZlYYZLVeYHLkExNcHGx+dTcubFt6E/Sv9hK8o3cUt5bVLj7E04L2P9eudd2EZztDsd+4ThghEVUcOYJtoeGPgDBlG02rpNDg6ef8LcIPw8rmkC2w7fTuqS9BWCsZ49H11jLbfmldeSoNdXZz1L7Szva1xS3No1MODPG0dWORR+vrC+yHdq6JgHeXuIAg/KGDd3oStNvYRumhHpKg2Xj0QI/p43zR3NvOENfOhuAsb1+CiiYAw58fCqmTkoK5ehMMwDox3jw2WrkxtqP/TScZ7OXFiNjKFbVaN66ozkxf2QIpGWZX6J6qMX2ne7Fbud36MhxiG11fUNnganSe0PNSUy3YwYFOGg09RrXusI3SM8vs49E036XjQIBmXXM3ZU/v6N2oAU5fpXIOB032pNmVzcdoN1eu6WWG4WcLwMMHuQP69msq+5GHMO7nzhB7bIX1tbq+nDWuX9cWaLh6S7sYtnGt89pG2hWwR4X7r2RNEJJb1iVNU3BwhMp+TflNz67yeJqI8v5Tk5y8525Q4V2c5vPKVdbFzsp0J9wcnRIMsL/WC1yY1gv8P9hmlHt1iZtd4VjScQOxCD1ZFtYMDYV257XpiF+6BPzRX1PJzKtsVXMd2qWduJY3T3dbm701pQLX2rnyeW3/7VAGtHJFXVnnWHNm+lrPM+XkpVtcDN0w/VbldnMLzeTJCf+tV3lfX4Lj4rUpzjObamHDQbXQCqp66KA7hcZDB3d2PO+k7Hn3SjdqgJH+ZkKuSIg7u1YuTfoZX/8xd7tHxswqPKvw6KdPdg7jfn0KgATe+YC5pt3S3Fwe9fXrC4RSYhEOmNvkbMrFcLth0rbXg/a6Ge3nRHLLuvSjc8Tk9w8Sm1xa5wQcSdMddKivOZjs7DXGJgz2kX9nbJBQkZ2V6U65Odry1b8hfFGusH0TUdZtuJc0Em7ixbU0IHhCqFi0GNqzJyDYnhvFZndevXu9OM3FMhHl92IRQl7hoPKT77JfO5XX9jjqUx427Vz5vLT/drMntXNF1aJpSDaKhExG+tjWANtLU4Xo97mVu5Vb6LdeBiDoOZOI8vRTrTMu40OPNQdVaQI/TbXQ6j2tKDTcKEXuZHKRt417pRs1AGAwU5saoNMznjvLHZxtJR/tB2Yam8PPXTPKVA39gRbbLa3V9duUqqBBdqiHuwPtmrfdMGntCujWBprOwZawivJ96ri5ZpfBvr83wZ1PqUpqhFcum6xF0TDr0C68vBt2wE6iaSTs/mtIQyPhJq1cCYvl5nI5aTF00JBN2fDSRXp02Hh0rUbltrJBuABQ7ZJv3y5bLW+3beml/bdLOewcf/Y81aJpSEbB/tNjCHCndHYrd8ty5pjC0TkuTl/dbGNxUi20ek8rCo2dHM87KXte0duy3dBpHS5u358t8LqXd+nwflsWM0CpzGTg9brJqTrYYzBAjQPHIgy+yuSB16/S+HtziZDBSJo+5m4+6dsRt3q0C43Xf7eiRtCZsWp1enhU6sbOoHdH9q6zHYbvlE6+7d30X6v6Zwv0VFrbMHDaxJDB7TX1w80lALIZ/4+EmL3MxqNDIePppa+XFZXG6SnlGZNsTjOn65YtbG6nnaAHaNeubrvQnX5np+e5YfpuLspeaTvGB5rHRa6kdv8V9kE3VAi6/Ffn6HasXa2PH+hsC7qbsqcxeqdsF/N95hQHj46e1RSiz5zy9i4d3u+0GUwMU2lkiyYdnY3paY+Y2VW+T4DvvjrPARUJcrJr2uKdFNd6pNxD44+MdXbrHOhhHd+8Tjx6/wCP49PLxFmXs8So8+XOGL4tXnzbHzrovf/c6q/pLhaUm5xdxkzeUDRXaqzXep511WH06RSN/jYeHQlxoTt+wLiHLq8bmOLUZHOaOV23ly7yfc52cqOW3g4O7AV/32lbSrvnuWH6bi7K3dB2/NxTZlxsFA1l+UceV/i6RyoELdoWlC2SgC5b7GwLutuy5zF6p2wX822V/MPru4DNNoOVDQ5CzUfTm6DXgo3p3VoGzl2n1b6/h54/pRp3yMOKHdOmLd5J6VSPTsRNTs+iH5zl4E8neXo5MESlpcnMtGeIFwxfi9cw9IEe7/3nrL+mFNb0ts4ynr3G69rLpk8FK9lh9MDmKFBNA6G9bhYyyhNszPCmbxRNcFWtRooJgDQSznbaSRzYK/6+k7aUTs9rFUlrv69b2g49r1+9Qpj0XccJ8+kTnBcqBC3aFqRTLyaiHNftbEF3SnYMoxdCfAXAJwAsSikfVtf+JYCfB1ABMAXgv5NSZtRnXwDw6wDqAH5TSvntLddiC7JdjOxwF/BIq3c5bQY3Fo2xRofv70s3Y3pPPGi4Q4Qg3cDRPlIg5JT/tk1bvJPSqR5e729HEavtF9V6dxi+lnZ01IB5xhMPdg9vOcv9ymWDs9tlzJWAnz7eXK/9A+a9WtzsIYdH3WmmdX3sNHM6qlKLs512Egf2ir/vNPbc7nntbEpavNpWtOh5PTrQ3Pa9CdJ5OPuwnWzFFnS3xQtG/wcA/h2AP7KufRfAF6SUNSHE7wL4AoDfEkKcAvBpAA+BdB5/LYQ4JqWs72yxKd3uRFt9z8ZH3f7f6u5FY5E2Bu8Wvu+8PxFVcE6Jq+VGgdS2jQY9EbQ/czsst1uCLi+7Na8JPtyw0nVF9bxeoB1irJ912T/oHRfVz9R2AEh3qulud5/6fk0pHBDs/6wKiuqJc+du+1U7vTTWct7b3IlRa0rtVJyxCJdmmAUqGub/wYBKJq9iHtw4WboRp6daJkeD5c1FLsZj6c3OA86T7kMHaad47g16ZQ33Mbjt/Q97HztA6/F0empzAp2dsBsEBGFTO/ahWCaU9r3T3tp0K7aguy0dUSUp5Q8BrDqufUdKqfccLwI4oP7+BQBfk1KWpZTXAFwB8NQOlve2uPqxv0Ff9nZ4o/N7Nj7q9v920oxpLLJT+L7z/kKZQVNza/TiSMYAKJ6axbVmLPflS+5YrtfyevWR7sQH4ubXbaezO3eDxuiAYB0vTROrX8ny3k64qN02OuWjW2zEdnhTTk5yUZ1eIkyzljeRkLZNxS3NYjdt7sSodXq7aEjBezlmrIqE2MfLWY4hZ8zDVsams31iEeAvXqZijYSoEC5OcxHTz3WmuVzKAv/i/wW+9hyVfCJKRfmNl/jjZey0izl57g3WOx7ls89e38yftBW7wW2cvmBiH54/z7gR7dPvpU27seXdK7IT5oN/COAv1d/jAG5Zn02razsubvwUmRx5NdpxYDi/p4/CKxv8f0X9v7rhnUejlehQ9k7h+877oyEeQ09N0tNGnwYePkS/+9UNBp2kU/wsV+LuIhFl+bspr1fekE58IPb1kX6WTYfKX7zFHdn4MJDuYVukVA7NkTTv9ZI5yEkZ4aQY6E9tjzelL2nYJXU05VAfy/jYEWL3Tx6jUtP00JrNsZs2d1IcDPUCn3o/Md+wsjk8cph935fgrnaol308MtAdx0u7+gpBxaYhxaryCjs5yVOXfu7z51lmfVorVxSXfpbXkzGTLWxq3tvYyagFzW08aePrbW4cF/6kbmgi7HKM9LOPdZKcUoXxHyP93tv08Cj7KxklXJOM8v+d9ojbSdmWe6UQ4ncA1AB8VV9yuc3V2iuE+CyAzwLA5OSk2y1txQ2jq9Q2FyAeIUaeLXAXefYayc4GezmBFzL0ldf46GKGR7nLM/y/Txl25lSyi26CTrwYlZyiscu1HMtwZJT0qAeGqDBtLDcUpIGvotzPhvt4BJdQXj7qvvUCTwK5EgeybSB87ixhlAPDxsXMDaPtRF3rvK6x0rUc8M2X+f1rC3xHXwI4OEyDrU7R6EW69fm+TVlcYFYlN0hO01DnSpz0y+uETqIhGku1i19McanY1LczK+wTTUdbLHurR6vxcnV+c/pG7Z9tp7DUki2w/+fVedsLRGVT7h4Y4qkkHgYSEUaD63faqRqdaS4LZcKIpQrHIMDflRqwYX2v1Tt7E7TZ5Ms0RC+oORePEA6aGOapTUu1DlxdMONE17Nbu0GT7WiI+kCT00XDfOd63oyXTg4Iu2143Y5seUcvhPgMaKT9VWlcd6YBTFi3HQAw6/Z9KeWXpJRPSimfHB4e7vr9blSumtLWlsUMoYOz13nMKpQJdcwsG1e3+TVO1mxBucsVuBBk8sB3T5MnfXTAGxTUdATtQM/aSvQzbXrU8zcN/3tPXEVrTvNaKk5Y5I3rnCj5IqNqNbRz7rqiJ8iwDV66CPzR9wgJ2PS6NoWtV+rcdtS1uh6REJWFEEBmgxO8Ff3ydkWXM1swlMXRCHfjTkjuuTOkmsiVuLt78SK9XSIhYGmD/2teFptuVlPfboWOth201Ime2P5c1y9f5ELtFaJyG1MS9OrRUq5yHun3akxaSyLKdI6xCE9UgPotGUdg20rc3pktsE3nVjnHVrKs19wa235u1Sj1XIkbHgFv9Wwn9th49S3qhWiEP2/eIOy0nuP/sXD7zFFbLcPdki0peiHExwD8FoBPSimtIYA/B/BpIURUCHEYwIMAXt5+MTeLV/9v3ZnpFLG58WHuYLJ5HhGH+qiUB3uIzQ718Wjal+Dn0TBxyIkhb1BQ0xG0Az1rK9HPtOlR4xHFO5MzqfkqNYVjRvj3ukoRJxUlbTrFgJzpFX6nN8E2qNSJT65sNNPr2hS2Xqlz21HX6nqMDVIRpGK8Z0lBH270yzs1Lqbm1O5XsA1j4WaITsMHccXueP4GF8dkhLu6oRTb9fI0WpxJsSU62nbQUifc2f781jIXFil5uvAKUbmNqXCIsRq3/dbznEf6vU5MOhohXDPcy+v5EttMgnEEtqHV7Z1Tc9zBD/ZwIxZVXPEC3FUPKhK4YoV5Xqs1XvNSz3Zij40NxUrarwjcimWOUe02eXS/Ox31duHcuyUdFb0Q4o8BvADguBBiWgjx66AXTg+A7wohTgshfh8ApJTnAPwJgPMA/grA5+6Ux40bRqcpbe1r40M0mEXD3En2JpjqT4K7u+E0Q/2HermjGE4DH36cSnI5S2U03NcMa9hH03YUp53oWVuJfqZNj1qq0DD4qfezrNkiqVIfPsjFKxqmkopF+J2G5LVanQZgTU+cL5uwfB3G70Zh65U6tx11ra5HPAI8c5InkXiMg64V/fJ2RZezXFGYd9C0h85zqqVaNX74+RLHRCTCtnhgnL8X13mPTTerqW+3QkfbjmK3E+5sfz6/yoXz5GTrsen2Xrcx9Ws/A7z7BJVdoayotR8173Vi0sO9wP/894FPf5Bzo1DmBukT7+aP/l6rd5YrpA9/+iQXfJ1F7NgBjt+nT9KWVVRBbCcnCNF4qWc7scfGeo7POTFJEkRAnd5qpk3d6KidfbZXpCNGL6X8By6Xv9zm/n8G4J9tp1BexcazT08BX/uBwcJtGtXVDcWoGGVHBgPcHTywf3OwTrlG5ah51vMlDmYtbpmeFjOG4KhY4dFzZom4ZSLGwSxg3Ant77u5ejppU09aAUG2n78dMDKzQtjm6jyzQpWrrOdajrkxKzXu7jfy5JMPCJPbdmaZ1MKj6a1R57a6bruX1uvEeZMxKvgnHmT97GAWO8gpnfLuIunWhj1x2iu02C6MGrufmmP7nVSTvVw1uYVvLbH9jo03U1tfm6eXxuI6bTuPHgb2D3mno23lFmi7TQYUJXImb3b6btwry1n23cUi6xcJUZFqN8FggN5O52+yrrEocHycZXYbU4dG2A+vTdHYbweb6XtOT9Hm8r0zPPG84wjwqx9y7x+7rjbNr51f9dSkIfQrValAwyHgA4+YXMDLWUObYROIufV9JztFf4qBUdEI7QbaBnNgiKcbreSzyh24VOVJz6ZR1n3WDeS40wFn3co9HLTrTTqlKjsyZiCTHtWBqxuclIMuWYoWVjmYq3aYe7Z1iPRAD13vckVOsh+f4wA5up8QxYsX1W5RMuXezJIxFrZy9YxF3GlTW1HManrloGCdpuYUX0uOJGkCZMicmuOOtSfGI+jMEt+vqXe7dRPsJLqM0RBxVqe74kDPZte9fBn4w+8RL/WCiXptw0jIuDBq18iRfsUYOkXIYW6VBrqxASr9tRw/1+0fDPDZyTjH0noB+M7r7G+vEJQbPLOgsOpOqQtt0eNOB1stZBiGH4vws+sLwO99k4blm4sAAsDsMhcwtzK79YOTcuP0FJ+5tMG2yJa4qTh3w72MnagOvLge2/NLn8j02Nkqdu5GsxAJcoEZ7DFUGJqiwqZR3goFxL2A8QefffbZ3XtbC/nSl7707Gc/+9ktfff8DeDGEncXcTW5QyEe+yIqXHy033gvRMNU4AeGadx56JBZWeMRGmaLZe6A+5L8XAjusieHm+8HuEr3JuiF8NIlLjQH93EQRSPGgNrfw13DgUGzsz9/AwgEDfZ3a4lGrmBQ4ZrKdVJK4AOOLFVxNaE3CiRMi0dYtkoNxCAEJ+MTD1KxajfSZIxH5KeOkVsnkwMm9/F9g70sx0ah2ethq6LLeOEm0ACVbDpJb6fDo3zX61OsbzrJ/2MRQkjZPF0Mtatjq3J5bcNwEPjYk1Rc+TLb4sQEPTzyZeWimuKYkSCHyYkJlke3//Pn+dzhPm4UGg0qiXwJ+IVnvO3Q7H5by/E5QjCbWCJqktnHFNS4f9C97nrc1RtUSOt5fh6PEH586SLb4Zq6byBFZbah8h87y/ytlzf3gxBUbu84zHu+/G3eU6sDIeUEIMDTzeMPbi6jW131/NGflasK8pIcf6OOOWnPrw11ctFjZy3X3PftxomzD0YH2K9za6zPo0d4ihDK0J6IUcn3JVnPnjgdNYLB5np4EecY9VpOL/LFL35x7tlnn/1Sp/v2PHtlJk+sNdGG1tRLSLWWhjS+1Frcwtzt92vK0p9coYIAaCyLhwkPreWADz9GBaIDffR3bZdFOxS+FW2qLa70ypKKG+AEfPIYnxEKkkbYrtfoMieqzp4FbI06t51od8RWboNO1z2Ax8xssflaq3J104aHR91dGHUIPAAMvMO9nP2p5rImY3zewRHCZt0cw51Ql+022Y7ewVlvmyr35UvNrrcrG8TSz+TNPX0poJ4jdOEss1s/OCk3ZlbpFnstZ6CnVIInoVb904nqoBO1cjtKYGDr9MmtdMLhUXcKD02j7KQr9yLbpXneCdnzit4tVdnqBv3G3RIudKI/aEV12iq8Pl/i0bijDghNAAAgAElEQVRaByoVYHmDO6dK1Uy6dJIKZj3PndqxcXPdfldA0M0L4CAT6t2dQuztkGydLrBS4ylHp74rlYk92xMmEuIx9JXLjDUAeMqxFb8X8ULu1grjdAsnb4C4qC1OTFS/8/IM0KgTkpKSu65CmRNT2x906j/bhbFV/7ZLUVdSbbWvj7tmXcdCmURXXlIEurWZ3T4BQfioUGYbZAtUMO3oMgCOlzdvcMyklIfIWp5eJaUKT5qlMp0L3ML1R9M8zTqTtqRilu0AwFyG8yxfBAoV0jn3JDi2NG7uVkcnrbRXmhFtA9Np+zQflH6XTR2tIUhNF7xVXLwbegUv79DPq9XpxXV9kdDwkVHvKRm3K3seo3fibctZYoYxFVlq42Gd6A/cwvfbhdcvZ2m4WszwFHFwhMe0N28Q542EqXhWVDaahmJv1KkBnRS5K1l+1p8knn/+JgdEJ+zcdn/TuSznVk1C63CQMIQTZwwF6VJ54SZhlQAYADS9sj0KBScVRTuM0y2cPBTkZ63cDO13TgwzRuDCTYP/a//58zc22x/a0fx2SlF3YoIQwloeOH+dCnAxQ8ihmxSBzjbT7TM1a9x+pSSUdHqK7dbO3XU9T2N6JsdxV62xL+dX6T2UK3IDkivxc7dw/YcOst3W8maROH1V5Z1V5XzqOMu4UeDufiXHDcWx/QY3d6uj0+7QDc2I0xaxYWH0R8YUFbiijtbjPZNrnb7Ty7je6RSLupzPnyOfUsD6vpe4mp2QPY/RO/G2mWWulE8c4xHYxsOcmJ7Gc+sN7gDDIQ6WcJAeOk5c0Ym13VxSbo0xg2nW681UAANqta7XiTk/dhToTbI8R8YMhnn6Ksv7ziPEziuKdGmoj5h6O0yvP8Vj98IaJ/T4gAohjyqO9P2c4E6cMRomFbIEdxvJGL18ggHu9r3gh2744/V5Pndy2AR0tcI47bLPrbG9fv7d9OZww3ad75xe5rMbGp4ZoWfJ1TmWRddf2x+qNT6rHW7s/Gx2he8b6edOPrPBgK9IEDh1iDaHVJxMo5Uq72mHvzrbTLfPG9e4UI0phsWAYB+O9jcnnNbj3m3sCEHFNNADHJ+gcVHbbfYNAA+O0VbhDNefWeEuOV/iGOpP8b29SdOPI/3Mfnb+JsdLb5z9dHLS4Oa6znYdr85zPMWiNLgWK5vnXavx7bRFpOKc3zrl5/wqn6djSo4dYJnPXgP29W8NF29nW+g09t3eEY+wnFPz3Cj0JmjH60saW+JWsfq3DUYPNONtTgpYoBkPa4Xn2ve2ojp1Ym12OjkNd0jJ4/NTJ/i/jZ2+65i5R5fHjdp3ekXtHjrgtLY46ZXd2sGJM37vtEmKoW9zhr93Eq9UFO0wzlbU0K2wW/udOeW5MdirfK4VJn99EXjfQ+7jwAtu3Op944P80fwwQjgojfOd+8qtzfalqQidZW6XRtJt7Ox3fM8rppzJc8wd3W+uvXSR9i9bHjnMoCKnvcdZTmcf9SUACLYP4D7vWtlg2mH0DUkbi7Msrag57hTdRqd3NCSwv19xAqmySmBTisQ7JfeForelGwzW9q12u7fTs1Nx4pqrG9zdC1DJTVqMDtpvu6fDO9rR8NrJEbxijbZ//2KGOyntVREQXEDOXafBVie8TsWaw9+7wR/dUhFqf/XFjHFv7QYrbUVXa79TU0BD+Z6fv0kIzLZJaJ6jN69zx3rmKvDOo615h1ztMEvNCUdmlXdWX4K726FehTnnmFy9nV3FGXuhfcM70SAD7valM1e5i+xL8XQxPuSO67frT2c/zi4Dp68A60WWU8cL6NSYPzpnDMgN2YyN61gDzSOVjBsvorlV/pQrjOM4MUGl32redZrPrT6329Lte17bxUub1erGz7+q7GNvzWwes15TJN4J2fMYvVO8+O466WEHe7z5xzq/Hw1REa1kTRDI6gZxb41HD/Y00xZ4oRiwaXh7E8qnVyWh9oo1amxzMUPIJFukb/XsKt1AdVh3pcayXrplUualEwaX9oI/ulFRhAIsdyYHzK1QcQl0lzqwFV2tjbOPD7LMsyuGl9+2SUzN8n2np4AlldlpIcOTlpP6Vr/XaYd5/QrbKBpmff7qFdZ1JE2o5a0ZLsSXplnWTjEJrXzD29EgO+0eGue+vsBnrheoQPXi6MT1O+HJdj/OLAHfepWwxP5BEy/wxlWW88QEFdr5m6x7rW6w8dNTJtagN8Fxd/EW6/PaFT4rnaLzwtoGy+AWJ9JufLWihfBKzdGuv9vZ9NzazI67qdXZPudvcPFzjlkvKRLvlNx3qQSB7lbobpOMOL0lZpXhtt4wVLf1Bg2qowPdvcPNS+HiNHdDdgJjt1RvTtERha9doQLsS5osRQAAyQm7oiiPKypi+CPv5A7k6py3FHOt2vv0FJXQ1XlilweGqPy7SR34xjWeQmIKGilVyCr4jkPN6fQCgt43lZqJJu5NUIG8epn1zxbIWppO8r56HZjYx2fZ5XCmqDt/kwo3IGjDOHeTbXdwhJDXtApCurVIt9YDw4ahsVV76b5x8yQ5Mkaf9tVcc11evwJA8CRil2sly3vqdcVkWiPr5qF9za6DXlIG6n78+o9pbziq4LTFDE9+5Qrw80/zlPTqZY79Ypnlf9/DPEV8/zRtFOkkjb9L6rvreeUpI/hZKs7650rAo4eAjz/lPfLZOX/ascd2OpG2axegc5t9/wzHebXOvtDG/0SUcKRzzHbLZttJdiyV4F6UThisrSSAzQuBncHHTUnbKeHyJWOsAoyv/OhAMz56eNQMvNeuuA88t3I31Mljo8jJdWmaSiAapgFNGyKdA1xTw+bL5BVJxbi7qNUACO5yAD47GOCgu3CTz7o6RwWm/fG1uOGPrSZTQ3LCa6+CN67ys/2D5C7xkjqwUgPSFq2AxsA1L4zdVrqdnDaJWJS77vkMsDzNCRkJGVqIAcdzbi1TOd1Y4v+lCsu7UeRzimVjtOxVtLuQdE89MGSUfFYlMHGjt26HO/enlGFX8J2Xp/n5hVusi84zq08Dl2f4bBGmEXq90BwXYLdnJzxZt+lfvsL2uXCLyj0aZZ3P36Ayu7HI9yajVO6FinnezKrB+VMxIDXKE8k3XiJUEVfMkPvSDDzTc2U7ys4eC15dKvV9z53l+yeG3Gm6B3qMm+5GkXVKxsz77Libly9xfCRi3EBh3gQ8Dii905uge/Vu0yDcd9BNJ+nmqNbJDczG3bS0wt22Ggat8dyfvEWMeXUDQIOkTH/xEgeXHSqv3co0NWwkSGWRL/G+UIi/w0FTXk27G42Yss0obN0WN1/2VnXKl4A/e8EsSoEAcOYa3UYXM51xyXTSJIew29amz3Xe70bxm4rRC2g1SyWvk3Ov5xk1O7Ns+mAtR6jnwi0gFuLObTkLvHCBu/ZajUFI6wXSW8yscHHMlQghabrn2WVz3Y3euh0d8VqOZcqp/royyx/N7qhpfrXtZrDHtFG5alIOeqWZdhun+ZJqo4JiRd1g/VeziuQtyL+vLdCLJBJiuRYz9Piyjay5EvDaWzzlxiMca7eWCOesbnTGqLuZN17vte8b6+eY0O1qt4ueezoZfZ86pdhjxm7Xnjjn18oGPbNqKsk8BCEut4xau0WD8LZT9O0oR52fdco25caZ0Qp32yrVqT59rChFFVacHPo5pSoVjjPjk6aGHU7zlDE1b4ivIiEqBM0vUlKK4uiYKdvR/SYYqBXG2a5Oc6t8vz6uC1BxZvNUpl5SB2qOolb0uc773TDZsQHWP6V2wRJcdBoN3qfrqesTjSilGuDf+9I83QjB//tSVKjDfcCZK7yud3Wa7vn0VXPdjd66He58dY5lakgqRO0Gq6l6A4KnDm37OTbOPswoLiYnf1On9nEbpzqLVl0ZDmuSQYFPHuMCd2uJCxhAo/SBIZZrahb4uaea4yKuznGxf+oYlaIew2vK170TRt3NvNlKtrQDw2wP3a5Om97VOdX3IZ5uGo4x47StRUKE8fqSHGM6DiMehWtGrd2iOn7bKfp2lKPOz/TxeKO4+V6Ai8AHHyWta6HMY9sjh0iX7DySbZXqtD9FPneAu4lYhN4PgQA7r1Y31LuaHtmmhk0nuWuRDQ7Kdx/nz5Exk9owGCDXhz66AlRwY4PtU7W1q1OupPywE2anM9hDRTs+1PnI2p9iOz5yqDV9rvN+N4rfZIx+18fGeRoICPp/j6YZbLUv3UxJoelyQwG260CSyjqmYKN0EvjIY4yOnV7lZD01yR29pnueXjHX3ah129ERa1jn1KSh8I0rhfTEg1T886sm/eChEfZhMkrl6yVNZbvUe9rN8qFDpJRezfHZ+4eAkwe5wFXrbJ/Do/Sr17kGxoe44NmUxg2FTz84zvE4MczI53KF0JXbXHGWx+u88XqvfZ+eJ7pd7XbRcy8Z5+lGU1rbY8Zu11qdc+uhg4zULte4KDz5IMdVpeatHndC9jxG70Zx2y53o+0S5Qyb1m5edlj5q29xF3pziQauieHmUG+vPDoBoazzKtdoNy5wE0P0UIgoRRUN87treWB1GrixwB3Y8QPNbmWaGvZgB+Pn98/wnc6yTQy1N5i6ubZpLx8d5buvX+HYUAyfVf7WVLqdaJG9chTp+53lTSe5uxroJSVETe3kG5IT1umqp/F7PYZKFZb54AgNobfdHlVg2lCPUea9CQZsocHfzna5sUBsu1jmAjTSzza22yCgTgRVRWGRVph9RcFMKxvsY9t2dGCo+X+b2tjNwN9OdJ8e3Mf6afrgmWXWfV9aKbocYa1oxBiTIyFj3zoxQQPr1TkyuF6aocE4EWU7xsIkS/PiJuw2xq4vbHZhbDfHWlFO6H47NMr54xw/E0PuBll73jrHXW9i83fCYdxOYONGzXGnsfo9vaP3Qq3qlHZh07bb3nqenTE1x+N6VOGQL17YbNTqJGs5Pl9ntanUunOBG+gxzIobRbpaFkvAjXkqrSNjdGP79muKjdHDEb3bsrVqS/tdC2tUUkN9KsReYZNrOZZ5doWTcahv93DKbmmq3eCio/sJGTndHt1oJdxc+xbWgBcusp76f52v1HY31ZDHRoF9kU4RH746y3LrTUks0mw7amVLsmkAvNIft6IPPjZuXJF7EyxXJscFbaPI+k0vbx67wQAX/kyO782X2Iah0NZonRfWOAfXcs1ut994me93G8dOV+FuaIe9Ql6dvpNOsD/1GLpT1OCtZE+7V371b6jc7dU1k+exsV3i3u+fMcRCmogqFKQy17jcy5dJjJZSOUELZe70BnuAp090l5RYu3DZgRXhUHcucNo16/UplYhhiQvQYA93p8kod1fDvWYn5cVl1GvZWolzpzTUZ3ZKMyvA357lgjm5j5+dmmz2NvHiKrpdsQOvdIKQfS67aee99m4RcHd7XFijItOutG476XnFN98Tp+2i1gAg+fvBceNuCpi+0KfNapWeOyP9JrBN91NPnLDDhZuGHkBHaBfKpCg+PMbxpA2KkAaC6OQue2uZCkvPEX1qeOUyjauRMBVZKs4TZyIKvPMB8xxdhqE+4vrXF2mrGekHHpr0flJztuWaii+x3W6vzvPUdXRs8zh222G36rdO7/fqLdOK6E+PId2X7dxwvcjbwr3SC7Wqm7QKm7bD4/VRN53aOj2AFjtE3aZK6MYFzglj/OuvW9TEVr00/azXQeO1bK3EfpemXdAyPgj8ygdMKL7zc7t+d1K6gYDa3etGt9yK2sHZLvmSSWeZigOQQKlIheR05xOCkBvAvvibM83UCDb1BtCaysOmAfBKf2yX3W0MtaLxffmiOwatyzDSTyxb16mbPne2Za60OUVntsBFUVNT2+9pRTnhlXa4m/nU6TtuY2g35sCeVvRuFLduFKxabGpbZxCSW4pA7d5Xr6sw/jx3zQ+Ot362l/Byt/et5TanEAToyaA/S8YZcr9R5A7tzBTfM7mPu1Rdd12WC9MG3jk8SiNRvdFcxp2gZNXX35ph+2hfb/tZbvVrF/rutW29fL6dZ9vSziahbQ46u5N9IggI44YbEPRDz+b5f7HSvPO0n6/T2a1kVRYsNV6dtBqtqDxse42TVkPfY6cwbFV/Zxu5UXmHw1zMXr3cvHNPxRQEtkH32pUNZjizd/7Od+jNy8wqx+/1RZMkXAg6IiSjLMvBERrXCyWy1t5aNu6OoYBpo1pDBTLF+PyrcyzL1583J4NyhYtGPEp4bEglCLJjVXT/Pn+efbyQBfIFfj7Yw9NZX5IG5wCM0bdYoW1mZoVwVljBZ+EQ81042UR3WvY0dKMx+v6U2dGs5Wj1dxpkNf6djHPAnLnK648eUUmzi81eCDoE/9I0/44qpd+fIiug7S1gPzseUVmHrOd5/bwhWaeA8vioVA0rXirOa9k82QVH01SaECZjVrkKfPRxusBlC+QjiUY44JMx+j1/9HFOZl2GB/bTT7tV2dzaz77P/n6rdtX32PVrNNhHAdE+Qfh227addPtd5/2LGWK9jx3hDnExQ8NjNExPGIAnwP4U+2l2mXaKhYwywPUAI3307Dh+gM9xa0sNJ+p2LVU2v9f+32vfLKwBkMDIQOv6u7WR2/emFK22niPVGr/7kDpRvHmD13VKx94k8JmfMYGEzrmpOZryBeDVK1S2xQoXkPUC22yoRzGwVoEHRpnasFRRLLINcvIM9jKr2/lbJoJYZxl7YBS4ucwFKqjw8tUsN1OJKE8G8xlCfE+f5LNfuMjn6niQ2RXc5llKRIFilYbsVFQF5ak5LCXtaD1xxYslaGw/OEKo7ugo8NmPt3ckcROv0M2eNsY6s9Mno+5KHmj2ne1LEnftSRgudufk1u59+loD3Mk/8xB3Krb/ayf/3U6ubfr7I/081qXiVAalGgfqUJ8JKV/IcFcRCrEsfQqqyhdZ93qDz7o0zZ3OoPLhnVvl9y5NN5dxdcOb212rOmq//aZ2jXPS62etbmyuX7XOnXAnhdypbbcan7CV7zr7cXmdynWkn99f3TCkVvEIf9JJ7iYPDPL7sQix7fEhRlQP9nHnONLf3BcXbnJ8PnaUWK49XrVrpSZSc/6v2/3waLPr3yOH+FOrW2kdB9rX362NRvoJadpjRkcFp1OG8vrUQSri6WVeDwgq+kcOcXPy/PnN75hd4b2LGT7n+iLtZAAVZ13tnItlLlaaRyqVJPdQf4qfQUVmB5V32uExbi5uLXExOjQCzKrAvUaD1yoV7rbLVc6r87f4bB2rsrLBMl1d4GYlr05jENyhF9SJYCVrDPbFCq9X6nx2Q6rvgBHH2TzdeYNB0x53Qvb0jt5NdJb6GZXebLCHu9rVLPDMSWB82Lg3ZQtcaT/6RDPNge2q9tYMDV75ojl6DqS4amuD7//3AncIS4olUgT4vptLSqmpiM7RNPDuExzo1xeMYXUxwwFaqnCQCXCnUSzx+WNDTOE2t8bd1CHl6ZCMAZA8zYwPA4Ui3UHHh1Ri4wkOyGKFO6axfu44/tHH+B0nle1aDvjbN3mSWVxnKsRehetemuYg1uyNOq/p/Bp9hyWo4HuTwJUZ4AdnuZvRTJY9MU6s+VVOqGiYO9p3HeOReWaFR9lDozx1vP9hlun3/oLvXlrnxBkb5ASOhYCffRfhqWLJUBYEA4wEvqqCcQ4Oq2xQ0uQkvT7Pvrw8YzjfB3o4VjTv+WAfkFORoUml3CT43ZuLbMd6nX2hobzzN9nv4RAV1/I6jZTlGk9VUjCeoVLn/QFV3nCY3EhhFY27UeTuT6eADAbZXokI+1wIjp9yFUhGeJpLxpQtSS0464pELhxmPTI5Bj4BQDjA59VrQEPBJKEA66fVQVQzLKogoXoN0BB8SAWDNXZiwvpyW06MA8//2+6+43VHf18pep2lfqAHgKTSqzeoyHMlDvafeti4ZknJlTdXan0MPn2VOOFiljumlAoiKZaBz/8ilcnXnuNkXsly9b+iXApDIaa5K5SAniQ5U3RYfm+Cir0B0sEWq5zIfSn6W+sdQbqXky0ZpdIMqcCLUhk4PkllMbMMZApMttKo8+8r0/RT3j9knpdUUZaPHuWxVHsaPfEgy/uNl4AfnmUdGg0eTwMBGG4cycWzoPysR/upLB8YY3LochX4yWXipBsFKtYlpeyqDfZFQym5hmR9omG2UyrGYJxylbDHe07yvd99zcBYlRpPAmP9xKvfewr469NU1mP9XHR+dI59MdTLd63muHg/dZzPnprjohwMqICeBhVpRFFCaNfAeoNtG1JlzOZZnkyOSrFU5TMCAY6laJj1yeToRdFoKEbDLqZXCNwkSCjPHPuzgIIGKoqvJ8iFo1bj/cO9LG+upELvg/xdrG5+jy/3rvzd9wBf/ife739bQDdO+ebLZmc2vczfAylifkdHORG/f1rxQUtOmki4meZAe7isqP+PjgHXlqjYUzEqm4gKqHn+vAlOWV6nwqnUzG4KoELoT1Eh6GfeXOSOuVe5buqAmLoEFleNwSkcBqJB7gKzRV4rV4FcmTvnbJ6Tfj2viLAkYZ5EmKeA8zeJRzYkrf0bRaaWi0eUwrP8gTUFhAhwd7me5zvKVS5UfQkuSus5ljuTo6I8doCK89YSP1vOUrFrOCMYokIqVbgrDAUBBPi7Ltmu9TqVrRBsq1yJhubTCputS+4wgwG260aZp4nLM1y8iuoUdXWBCjqklHZQKd9ChXaNNeWLLiUXgJ44FWitTqXYAPsoGOD4kMpoli+xDzI5ZV+AgWDqDUWt0GAdQ0E+v1rvTskDgPJ+RL3BeuoxFFQUEoUyyxpU9wUF2y0IjrlqnZ8H1OmhWt/aPPLl7sk3Xrozz72vFP3MKpUUAGwoF6xEVPnWx2gYWslzh6x9iaVspjnQrmqaVqA3AfREqRDyJU78w6Pczc5nTMj6UB8V6Hqek74/xV1dvQGEwlTCuRIbPF+m8gyHuNiEFBVvUFChhwJUJOmk4VgRksp2oBeYHKKSKZR5bI9GueMvVliG/UMqqjFq6HVH0sAvv4/YaKnCNrDx8Uye7xZg2xQqhEeqddYDIPxSafCZVRVsdkBlW6rWmXmo3uD3exTXvT7fS0mF3ZBmN99oqJ2+Oi3oALZqDVjNK0K0ENAbMyHkgQAhpVCQSjkeBob62WaZHACh4LIG+yGgFHmuxFNQtc73Vyps80hIKeaaKSeEgSsEuAhLYdwHaw0uBjqbWL3BazoBSUgtzoD3CSZwO3CSfDwO119p/RaCpxV9ypLghqHeUHw7yke/7mMre06qd6jP9jR088H/CXjjxh0okC+++OLLXZBwAFj4mvf773voxlfyvvjiy/0mn3j3nXnunlX0vpL3xRdf7ifp1hDbjXSMjBVCfAXAJwAsSikfVtd+GcCzAE4CeEpK+ap1/xcA/DpoW/pNKeW370C5ffHFlz0gtlE5pXzlHz5E99CI8sOfGKb/fDhIet++BK+fOAD87Tnalco1Gu5LVf6uKSbMmjJca0P96CBtWLEoaSO0HeWpE8B//B7ppa8tqOtC0Q/kgI8/SYP2pVt87iOHTR00tcj/+Eu73Xo7J1529H8A4GOOa28C+CUAP7QvCiFOAfg0gIfUd35PCBHcfjF98cWXvSjatz+gtIB2RQ0FaRiPRWhMjkSovGNhKuBYBFhXLsF1pawDygtKgMZqEaADg35PSNF4S0HnhJRKtBNWFAeDPXSCCAb5/nhE5VNOmOxcPUljFNfSjlZlr0hHRS+l/CGAVce1C1LKSy63/wKAr0kpy1LKawCuAHhqR0rqkMmhO/FUX3zxZSelASrhRISKeriPHlJhlbFppI8eSvEIFb92be2J04vqmZP0iCpWrZ27oGeXrCu6gzo9jFJRLgTVGr3RBhW9d1oxRL7jCHfvOh5ECirxsQGTnevoKMumM2Rl8owxudNcNHdadprUbBzAi9b/0+rajsuJCUaP+uKLL3dfAqArrHahBcwufCBFKOSxo4weX1wHHjnIyOh8ycSdiAkG2oWD5IA5OEIl3pckpLKqgtVOTtDVdX5NxcIod94BRUL2wJjKftXbHCcSjwAfeZx0IIsZ7v5PHeCpIRnn/U8d5wLz/HnCNaNp4CPv7J6D5l6TnVb0bjlsXP03hRCfBfBZAJicnOz6RbOrDFxqgIOhGyfRoDryVayAEtuP2fNzBAe2/g1wwG/VFVZtZjaVIxTgjkVf10RSm8oDGkbiYcWzUWXZGlKRLsVUkvAQaRkC6jynKVMHexj4dXiE/CATw5xco2n61Q+kgLdmgYcP0i99rJ++7LLBIK6DwzyaF8qKc/wgJ80D+xlhrGmV37zBY7JscNL/tz/TTF3rpMB1UjX44ku30g3NcH9q7yt2p+y01800gAnr/wMAZt1ulFJ+SUr5pJTyyeHh4a5ftH/AkAO5rS7txEtKNS8iBBtwhx53OxjG9V32fXLzO+2OFAH+hNQxVwggEGK9gwFFmxtSuKaOIg2oqN8IIzpjES5eiSgXh4TiPknGuOtKKipX2eD9/Sk+S0eHJqLEPSOKPEtTSgP8brVGvHRQ8YRrumJNBWyLFypjX3zxpbXstKL/cwCfFkJEhRCHATwI4OUdfgcA7gJ7E8Tput1BS8lTQNO1LZRBSh4r7VD37QS2SZhjry06PB9QlAiSgRXO79ZhMhXV6jRCaUNWOKBOH8qYFYsACFBRN+rc+Rcq5EypqgjPep2GqlyJC0BAcJefyZPHJq68Hqo1HqeDAVIghIKGJiGd4vH5mVMmVd5QH3mBVnPETe30bFtJ3eaLL760Fy/ulX8M4IMAhoQQ0wD+N9A4+38BGAbwTSHEaSnlR6WU54QQfwLgPEh29zkp5R1h3Pg5ZeL9P/6EcEJVhasHhQkhDyjfrlCQhpqepCExC4BKKB4h9W++rML31W44IExofN1SvgFwV5vuMSRdk0NUeLkC3b8AAwWJABVgNExKgVyFofiyQUU83GtSsa3nGQIdDiiemQp3zw0A8Rjw+FHSLbx5DZhfB0JVxYsi+ITl7dgAAAh7SURBVKyRPsIrxTKVNiSpEsLKw0EKYpmRAGGrUpWKtF4jJ01fEhhLM81ePMLnlKtMbAK1qE3uY9tcX+A7fuoR0iusF9guh0YNVPTIIeKy/Sn+fOr9JpH78QM0gsUjXJxOWnQMTx4jprq6wZ28/ZkvvvjSvexpCgRffPHFl7ez3PcUCL744osvvngTX9H74osvvtzn4it6X3zxxZf7XHxF74svvvhyn4uv6H3xxRdf7nO5J7xuhBBLALohHh4CcC8SINyr5QLu3bL55epe7tWy+eXqXrZbtoNSyo4Rp/eEou9WhBCvenEp2m25V8sF3Ltl88vVvdyrZfPL1b3sVtl86MYXX3zx5T4XX9H74osvvtznslcV/ZfudgFayL1aLuDeLZtfru7lXi2bX67uZVfKticxel988cUXX7zLXt3R++KLL7744lH2lKIXQnxMCHFJCHFFCPHbu/zuCSHE94UQF4QQ54QQ/726/qwQYkYIcVr9fNz6zhdUWS8JIT56h8t3XQhxVpXhVXVtQAjxXSHEW+p3/26WTQhx3GqX00KIrBDi83erzYQQXxFCLAoh3rSudd1GQognVFtfEUL8n0K0yiKwrXL9SyHERSHEG0KIPxVCpNX1Q0KIotV2v7/L5eq673a6XG3K9p+tcl0XQpxW13ezzVrpibs7zqSUe+IHTKA0BeAIgAiAMwBO7eL7xwA8rv7uAXAZwCkAzwL4py73n1JljAI4rMoevIPluw5gyHHtXwD4bfX3bwP43btRNqv/5gEcvFttBuCnADwO4M3ttBGYY+E9IBv1XwL42TtQrr8DIKT+/l2rXIfs+xzP2Y1ydd13O12uVmVzfP6vAfyvd6HNWumJuzrO9tKO/ikAV6SUV6WUFQBfA5OR74pIKeeklK+pvzcAXED7fLi7lii9Qxn+UP39hwB+8S6W7WcATEkp2wXG3dFySZdE9+iyjYQQYwB6pZQvSM7GP7K+s2PlklJ+R0pZU/++CGZraym7Va42smvt1alsauf7KQB/3O4Zd6jNWumJuzrO9pKiHwdwy/r/jiUe7yRCiEMA3gngJXXpH6sj9lesI9lul1cC+I4Q4ieC+XgBYERKOQdwAALYd5fKBgCfRvPEuxfaDOi+jcbV37tZxn8I7ui0HBZCvC6E+IEQ4v3q2m6Wq5u+uxvt9X4AC1LKt6xru95mDj1xV8fZXlL0nhOP39FCCJEC8F8BfF5KmQXw/wA4CuAxAHPgkRHY/fK+V0r5OICfBfA5IcRPtbl3V8smhIgA+CSA/6Iu3Stt1k5alWW32+53wGxtX1WX5gBMSinfCeB/APCfhBC9u1iubvvubvTpP0DzpmLX28xFT7S8tUUZdrRse0nRe048fqdECBEGO++rUsqvA4CUckFKWZdSNgD8exioYVfLK6WcVb8XAfypKseCOgLqY+ri3SgbuPi8JqVcUGW8J9pMSbdtNI1mGOWOlVEI8RkAnwDwq+r4DnXEX1F//wTEdI/tVrm20He71l4AIIQIAfglAP/ZKvOutpmbnsBdHmd7SdG/AuBBIcRhtUP8NJiMfFdE4X5fBnBBSvlvrOt22uq/C0B7AexaonQhRFII0aP/Bg15b6oyfEbd9hkAf7bbZVPStMO6F9rMkq7aSB27N4QQT6sx8WvWd3ZMhBAfA/BbAD4ppSxY14eFEEH19xFVrqu7WK6u+m63ymXJhwFclFLehj12s81a6Qnc7XG2HQvzbv8A+DhoxZ4C8Du7/O73gUenNwCcVj8fB/AfAZxV1/8cwJj1nd9RZb2EHfA0aFO2I6Dl/gyAc7ptAAwC+B6At9TvgbtQtgSAFQB91rW70mbgYjMHoArumH59K20E4ElQwU0B+HdQgYc7XK4rIHarx9rvq3v/nurjMwBeA/Dzu1yurvtup8vVqmzq+h8A+A3HvbvZZq30xF0dZ35krC+++OLLfS57CbrxxRdffPFlC+Irel988cWX+1x8Re+LL774cp+Lr+h98cUXX+5z8RW9L7744st9Lr6i98WXLYoQ4jeEEL92t8vhiy+dxHev9MUXX3y5z8Xf0fty34kg//hFIcR/EEK8KYT4qhDiw0KIHys+8KeEEB8Qhp/8dSFEjxAiIIT4PUEe8W8IIb4lhPj76pn/XAhxXpF5/St17VkhxD8VQuwXzbz7dSHEQRWR+V+FEK+on/fe3Zbx5e0qobtdAF98uUPyAIBfBvBZkD7jvwGjFj8J4H8B+fE/J6X8sSKgKoEcKYcAPAKyC14A8BUhxAAY7n9CSimFSgKiRZJn6DEAEEJ8DsAHpJQ3hBD/CcC/lVL+SAgxCeDbAE7e2Wr74stm8RW9L/erXJNSngUAIcQ5AN9TSvosqMy/BuDfCCG+CuDrUsppIcT7APwXScKueSHE99WzsuBC8B+EEN8E8A23F6od+z8CaXIB8q6cEiYxUK8QokeSp9wXX3ZNfOjGl/tVytbfDev/Bpi56Z+DSjkO4EUhxAm4U8NCMgHIUyAj4S8C+CvnPYrs68sAfkVKmVOXAwDeI6V8TP2M+0rel7shvqL35W0pQoijUsqzUsrfBfAqgBMAfgTg7ymsfgTAB9W9KZCU7VsAPg8F01jPCgP4EwC/JaW8bH30HQD/2Lqv6Xu++LJb4kM3vrxd5fNCiA8BqAM4D2ZwqoIpD98EWVJfArAO5v78MyFEDNz1/xPHs54B8C4AXxRCfFFd+ziA3wTwfwsh3gDn2g8B/MadrJQvvriJ717piy+WCCFSUsqcEGIQ5MJ/r5Ry/m6XyxdftiP+jt4XX5rlG8qrJgLgf/eVvC/3g/g7el988cWX+1x8Y6wvvvjiy30uvqL3xRdffLnPxVf0vvjiiy/3ufiK3hdffPHlPhdf0fviiy++3OfiK3pffPHFl/tc/n9iiYb17BStTgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data0.plot('msgsize','time',linewidth=0,marker='o',color='#1155ff33')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comme auparavent, on observe une rupture. Vérifions si elle est au même endroit." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(110, 120)" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data0.plot('msgsize','time',linewidth=0,marker='o',color='#1155ff33')\n", + "plt.xlim((1450,1500))\n", + "plt.ylim((110,120))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La rupture est moins nette que dans le cas précédent, mais il est cohérent de continuer à séparer les messages en \"petits\" (taille <= 1480 octets) et \"gros\" (>1480 octets)." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "petits_msg = data0[data0['msgsize']<=1480]\n", + "gros_msg = data0[data0['msgsize']>1480]\n", + "\n", + "fig,ax = plt.subplots(1)\n", + "petits_msg.plot('msgsize','time',ax=ax, linewidth=0,marker='o',color='#1155ff33')\n", + "gros_msg.plot('msgsize','time',ax=ax, linewidth=0,marker='o',color='#ff000033')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Régression linéaire\n", + "\n", + "On utilise la fonction définie précédemment." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Petits messages\n", + "Latence:113.22750968484877 ; capacité:22119.029139894385 ; R²=1.0854974891949531e-05\n", + "Gros messages\n", + "Latence:120.05358833473095 ; capacité:-554.6631211596176 ; R²=0.0005386609060091807\n" + ] + } + ], + "source": [ + "lreg_p, rsquare_p = linreg(petits_msg)\n", + "lreg_g, rsquare_g = linreg(gros_msg)\n", + "\n", + "# Estimation de la latence et de la capacité\n", + "# On a L = b et C = 1/a\n", + "lat_p = float(lreg_p.intercept_)\n", + "cap_p = 1/float(lreg_p.coef_)\n", + "\n", + "lat_g = float(lreg_g.intercept_)\n", + "cap_g = 1/float(lreg_g.coef_)\n", + "\n", + "print(\"Petits messages\")\n", + "print(f\"Latence:{lat_p} ; capacité:{cap_p} ; R²={rsquare_p}\")\n", + "print(\"Gros messages\")\n", + "print(f\"Latence:{lat_g} ; capacité:{cap_g} ; R²={rsquare_g}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On trouve une capacité négative pour les \"gros\" messages : c'est incohérent.\n", + "Comme dans le cas précédent, les coefficients de régression R² sont très faibles.\n", + "Représentons les courbes de régression avec les données." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1)\n", + "# La même figure qu'avant : durée de réponse en fonction de la taille du message\n", + "# Petits messages en bleu pâle\n", + "petits_msg.plot('msgsize','time',ax=ax, linewidth=0,marker='o',color='#aaaaff22')\n", + "# Gros messages en rouge pâle\n", + "gros_msg.plot('msgsize','time',ax=ax, linewidth=0,marker='o',color='#ffaaaa22')\n", + "\n", + "# Résultat de la régression\n", + "# Petits messages\n", + "xx_p = np.linspace(1,1480)\n", + "yy_p = lat_p + xx_p/cap_p\n", + "plt.plot(xx_p, yy_p, color=\"#0000ff\")\n", + "\n", + "# Gros messages\n", + "xx_g = np.linspace(1481,2000)\n", + "yy_g = lat_g + xx_g/cap_g\n", + "plt.plot(xx_g, yy_g, color=\"#ff0000\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comme on s'y attendait, la correspondance entre données et courbe de régression est assez mauvaise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Régression du plus petit temps de transmission\n", + "\n", + "De la même façon que précédemment, on s'intéresse au plus petit temps de transmission pour chaque taille de message." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "# Extraction des plus petits temps de transmission à taille de message donnée\n", + "\n", + "tmins = []\n", + "sizes = []\n", + "for size, subdata in data0.groupby(\"msgsize\"):\n", + " tmin = min(subdata['time'])\n", + " tmins.append(tmin)\n", + " sizes.append(size)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "shorttimes = pd.DataFrame({\"msgsize\":sizes, \"time\":tmins})\n", + "\n", + "shorttimes.plot(\"msgsize\",\"time\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Alors que précédemment le plus petit temps de transmission était une donnée presque linéaire, cette fois elle est très bruitée. Par ailleurs on n'observe pas de distinction claire entre les petits et les gros messages.\n", + "\n", + "Appliquons les mêmes calculs qu'avant pour trouver la latence et la capacité du réseau." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "shortt_p = shorttimes[shorttimes['msgsize']<=1480]\n", + "shortt_g = shorttimes[shorttimes['msgsize']>1480]\n", + "\n", + "fig,ax = plt.subplots()\n", + "shortt_p.plot(\"msgsize\",\"time\",color=\"#2255ff\",ax=ax)\n", + "shortt_g.plot(\"msgsize\",\"time\",color=\"#ff5522\",ax=ax)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Petits messages\n", + "Latence:110.88100305194719 ; capacité:2831.9221660729295 ; R²=0.004898770828737797\n", + "Gros messages\n", + "Latence:111.27277580312676 ; capacité:1410.9194353229204 ; R²=0.000613784644400095\n" + ] + } + ], + "source": [ + "\n", + "lreg_p, rsquare_p = linreg(shortt_p)\n", + "lreg_g, rsquare_g = linreg(shortt_g)\n", + "\n", + "# Estimation de la latence et de la capacité\n", + "# On a L = b et C = 1/a\n", + "lat_p = float(lreg_p.intercept_)\n", + "cap_p = 1/float(lreg_p.coef_)\n", + "\n", + "lat_g = float(lreg_g.intercept_)\n", + "cap_g = 1/float(lreg_g.coef_)\n", + "print(\"Petits messages\")\n", + "print(f\"Latence:{lat_p} ; capacité:{cap_p} ; R²={rsquare_p}\")\n", + "print(\"Gros messages\")\n", + "print(f\"Latence:{lat_g} ; capacité:{cap_g} ; R²={rsquare_g}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1)\n", + "# La même figure qu'avant : durée de réponse en fonction de la taille du message\n", + "# Petits messages en bleu pâle\n", + "shortt_p.plot('msgsize','time',ax=ax,color='#aaaaff')\n", + "# Gros messages en rouge pâle\n", + "shortt_g.plot('msgsize','time',ax=ax,color='#ffaaaa')\n", + "\n", + "# Résultat de la régression\n", + "# Petits messages\n", + "xx_p = np.linspace(1,1480)\n", + "yy_p = lat_p + xx_p/cap_p\n", + "plt.plot(xx_p, yy_p, color=\"#0000ff\")\n", + "\n", + "# Gros messages\n", + "xx_g = np.linspace(1481,2000)\n", + "yy_g = lat_g + xx_g/cap_g\n", + "plt.plot(xx_g, yy_g, color=\"#ff0000\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les courbes suivent à peu près les données, mais les coefficients de régression sont mauvais : c'est probablement dû au bruit dans les données de temps les plus courts.\n", + "\n", + "### Débruitage \n", + "\n", + "Afin de réduire le bruit, éliminons les données qui correspondent à un très faible nombre de mesures." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Combien de mesures par valeur de taille de message a-t-on environ ?" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([589., 458., 345., 235., 158., 83., 25., 18., 2., 3.]),\n", + " array([ 3. , 6.3, 9.6, 12.9, 16.2, 19.5, 22.8, 26.1, 29.4, 32.7, 36. ]),\n", + " )" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sizes = []\n", + "for msgsize, subdata in data0.groupby(\"msgsize\"):\n", + " sizes.append(subdata.size)\n", + "\n", + "plt.hist(sizes)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On voit que pour de nombreuses tailles de message, on dispose de peu de mesures de latence. On choisit donc d'éliminer les tailles de message pour lesquelles on dispose de moins de 10 mesures." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "# Extraction des plus petits temps de transmission à taille de message donnée\n", + "\n", + "tmins = []\n", + "sizes = []\n", + "for size, subdata in data0.groupby(\"msgsize\"):\n", + " # On ne prend que les données pour lesquelles on dispose d'au moins 10 mesures\n", + " if subdata.size >= 10:\n", + " tmin = min(subdata['time'])\n", + " tmins.append(tmin)\n", + " sizes.append(size)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "shorttimes = pd.DataFrame({\"msgsize\":sizes, \"time\":tmins})\n", + "\n", + "shorttimes.plot(\"msgsize\",\"time\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Cette modification a complètement changé l'allure des données : il n'y a plus du tout de données extrêmes, et le bruit restant est seulement dû à la quantification en valeurs entières.\n", + "\n", + "Effectuons une régression linéaire, cette fois sans séparer entre \"petits\" et \"gros\" messages car cela ne paraît pas pertinent vu la faible quantité d'information qui reste." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Latence:110.27439846701121 ; capacité:1259.7103978295067 ; R²=0.5915851100654499\n" + ] + } + ], + "source": [ + "lreg, rsquare = linreg(shorttimes)\n", + "\n", + "# Estimation de la latence et de la capacité\n", + "# On a L = b et C = 1/a\n", + "lat = float(lreg.intercept_)\n", + "cap = 1/float(lreg.coef_)\n", + "print(f\"Latence:{lat} ; capacité:{cap} ; R²={rsquare}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1)\n", + "shorttimes.plot('msgsize','time',ax=ax,color='#ffaaaa')\n", + "\n", + "# Résultat de la régression\n", + "xx = np.linspace(1,2000)\n", + "yy = lat + xx/cap\n", + "plt.plot(xx, yy, color=\"#ff0000\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conclusion\n", + "\n", + "Pour résumer, voici les valeurs qu'on a obtenues à partir des plus petits temps d'échange :\n", + "\n", + "### liglab2.log\n", + "```\n", + "Petits messages (<=1480 octets)\n", + "Latence:1.033 ms ; capacité:4217.8932227104215 octets/ms\n", + "Gros messages (>1480 octets)\n", + "Latence:1.743 ms ; capacité:4133.823644047976 octets/ms\n", + "```\n", + "\n", + "### stackoverflow.log\n", + "```\n", + "Latence:110.27 ms ; capacité:1259.7103978295067 octets/ms\n", + "```\n", + "\n", + "Ces valeurs sont valables uniquement pour des messages de taille inférieure à 2000 octets.\n", + "\n", + "## Perspectives\n", + "\n", + "Les extensions possibles de ce travail sont multiples.\n", + "\n", + " - On a choisi d'utiliser la plus petite durée d'échange mesurée pour estimer la performance du réseau, mais il pourrait être plus pertinent d'utiliser la médiane (à taille de message donné), ou un autre quantile.\n", + " - La répartition des durées d'échange n'est pas quelconque : pour les deux zones envisagées, et dans les deux jeux de données on observait que, lorsque les durées d'échange étaient supérieures à la normale, elles semblaient tout de même suivre une répartition spécifique. On pourrait s'intéresser à la modélisation de cette répartition, et à l'explication de son origine.\n", + " - Enfin, les données portaient uniquement sur des messages de taille inférieure à 2ko. Des expériences avec des messages de plus grande taille seraient propices, d'une part pour mieux estimer la capacité du réseau, et d'autre part pour vérifier si le modèle de performance reste valable." + ] } ], "metadata": {