From 919d199350dfb5e0ac2c8cca35e241f8ca7aec49 Mon Sep 17 00:00:00 2001 From: Rajesh Singh Date: Sat, 31 Aug 2024 20:13:26 +0530 Subject: [PATCH] updated examples directory --- examples/deterministic/README.md | 13 - .../contactMatrix/ex01-SIR.ipynb | 26 +- .../ex02-SIR-india-intvntn.ipynb | 182 ----- .../contactMatrix/ex03-M=4.ipynb | 6 +- .../ex04-non-normal-transients.ipynb | 4 +- .../ex05-infectious-disease-transient.ipynb | 4 +- ...ge-contact-structures-uk-india-italy.ipynb | 4 +- .../contactMatrix/ex11-superSpreader.ipynb | 6 +- .../ex12-SEIR-fastest-growing-mode.ipynb | 58 +- .../deterministic/contactMatrix/ex13-M2.ipynb | 8 +- .../{ex01b_Model.ipynb => ex01_Model.ipynb} | 4 +- examples/deterministic/ex01a-SIR.ipynb | 356 ---------- examples/deterministic/ex02-Spp.ipynb | 4 +- examples/deterministic/ex03-SIR.ipynb | 356 ++++++++++ .../ex03-age-structured-SIR-for-India.ipynb | 521 -------------- .../{ex05-SEIR.ipynb => ex04-SEIR.ipynb} | 6 +- ...uctured-SIR-india-with-interventions.ipynb | 652 ------------------ ...EkIkR.ipynb => ex05-SIkR-and-SEkIkR.ipynb} | 2 +- .../{ex07-SEAIRQ.ipynb => ex06-SEAIRQ.ipynb} | 0 .../{ex08-SppQ.ipynb => ex07-SppQ.ipynb} | 4 +- ... ex08-Spp-time_dependent_parameters.ipynb} | 4 +- ...ynb => ex09-Spp-serological-testing.ipynb} | 0 22 files changed, 409 insertions(+), 1811 deletions(-) delete mode 100644 examples/deterministic/README.md delete mode 100644 examples/deterministic/contactMatrix/ex02-SIR-india-intvntn.ipynb rename examples/deterministic/{ex01b_Model.ipynb => ex01_Model.ipynb} (99%) delete mode 100644 examples/deterministic/ex01a-SIR.ipynb create mode 100644 examples/deterministic/ex03-SIR.ipynb delete mode 100644 examples/deterministic/ex03-age-structured-SIR-for-India.ipynb rename examples/deterministic/{ex05-SEIR.ipynb => ex04-SEIR.ipynb} (99%) delete mode 100644 examples/deterministic/ex04-age-structured-SIR-india-with-interventions.ipynb rename examples/deterministic/{ex06-SIkR-and-SEkIkR.ipynb => ex05-SIkR-and-SEkIkR.ipynb} (99%) rename examples/deterministic/{ex07-SEAIRQ.ipynb => ex06-SEAIRQ.ipynb} (100%) rename examples/deterministic/{ex08-SppQ.ipynb => ex07-SppQ.ipynb} (99%) rename examples/deterministic/{ex09-Spp-time_dependent_parameters.ipynb => ex08-Spp-time_dependent_parameters.ipynb} (99%) rename examples/deterministic/{ex10-Spp-serological-testing.ipynb => ex09-Spp-serological-testing.ipynb} (100%) diff --git a/examples/deterministic/README.md b/examples/deterministic/README.md deleted file mode 100644 index 54eb2d72..00000000 --- a/examples/deterministic/README.md +++ /dev/null @@ -1,13 +0,0 @@ -* ex01-SIR.ipynb: illustrates SIR and shows how to compute time-dependent basic reproductive ratio -* ex02-Spp.ipynb: Shows how to user-define any generic compartmental model -* ex03-age-structured-SIR-for-India.ipynb -* ex04-age-structured-SIR-india-with-interventions.ipynb -* ex05-SEIR.ipynb: shows the effect of adding an exposed class to SIR, to get SEIR -* ex06-SIkR-and-SEkIkR.ipynb: Adding stages to SIR and SEIR -* ex07-SEAIRQ.ipynb: a quanrantine class Q, which may model individuals who have been tested and put into quarantine -* ex08-SppQ.ipynb: Simulating any compartmental model with testing and quarantine using the SppQ class -* ex09-Spp-time_dependent_parameters.ipynb: shows how an arbitrary time-dependence of parameters can be specified -* ex10-Spp-serological-testing.ipynb: shows a finite-ressource transition to model serological testing - - -Please read the [PyRoss paper](https://arxiv.org/abs/2005.09625) and [PyRoss Wiki](https://github.com/rajeshrinet/pyross/wiki/) for more details. diff --git a/examples/deterministic/contactMatrix/ex01-SIR.ipynb b/examples/deterministic/contactMatrix/ex01-SIR.ipynb index 0557d2f8..4370cda8 100644 --- a/examples/deterministic/contactMatrix/ex01-SIR.ipynb +++ b/examples/deterministic/contactMatrix/ex01-SIR.ipynb @@ -2,18 +2,10 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], - "source": [ - "%%capture\n", - "## compile PyRoss for this notebook\n", - "import os\n", - "owd = os.getcwd()\n", - "os.chdir('../../')\n", - "%run setup.py install\n", - "os.chdir(owd)" - ] + "source": [] }, { "cell_type": "code", @@ -85,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -102,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -141,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -168,7 +160,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -200,7 +192,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -214,9 +206,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.7" + "version": "3.10.9" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/examples/deterministic/contactMatrix/ex02-SIR-india-intvntn.ipynb b/examples/deterministic/contactMatrix/ex02-SIR-india-intvntn.ipynb deleted file mode 100644 index 8519a15d..00000000 --- a/examples/deterministic/contactMatrix/ex02-SIR-india-intvntn.ipynb +++ /dev/null @@ -1,182 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%%capture\n", - "## compile PyRoss for this notebook\n", - "import os\n", - "owd = os.getcwd()\n", - "os.chdir('../../')\n", - "%run setup.py install\n", - "os.chdir(owd)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import pyross\n", - "import matplotlib.pyplot as plt\n", - "from scipy.io import loadmat" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "M = 16 ## number of age-groups\n", - "\n", - "Ni = pyross.utils.getPopulation(\"UK\", M)\n", - "N = np.sum(Ni) ## total population" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# Get individual contact matrices\n", - "CH, CW, CS, CO = pyross.contactMatrix.India()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "# Generate class with contact matrix for SIR model with UK contact structure\n", - "generator = pyross.contactMatrix.ContactMatrixFunction(CH, CW, CS, CO)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "times= [21, 42] # temporal boundaries between different contact-behaviour\n", - "\n", - "aW, aS, aO = 0.5, 0.3, 0.5\n", - "\n", - "# prefactors for CW, CS, CO:\n", - "interventions = [[1.0,1.0,1.0], # before first time\n", - " [aW, aS, aO], # between first and second time\n", - " ] \n", - "\n", - "# generate corresponding contact matrix function\n", - "C = generator.interventions_temporal(times=times,interventions=interventions)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "beta = 0.01646692 # contact rate parameter\n", - "gIa = 1./7 # removal rate of asymptomatic infectives \n", - "gIs = 1./7 # removal rate of symptomatic infectives \n", - "alpha = 0. # asymptomatic fraction\n", - "fsa = 1 # Fraction by which symptomatic individuals do not self isolate\n", - "\n", - "\n", - "# initial conditions \n", - "Is_0 = np.zeros((M)); Is_0[6:13]=3; Is_0[2:6]=1\n", - "Ia_0 = np.zeros((M))\n", - "R_0 = np.zeros((M))\n", - "S_0 = Ni - (Ia_0 + Is_0 + R_0)\n", - "\n", - "\n", - "parameters = {'alpha':alpha,'beta':beta, 'gIa':gIa,'gIs':gIs,'fsa':fsa}\n", - "model = pyross.deterministic.SIR(parameters, M, Ni)\n", - "\n", - "contactMatrix=C\n", - "\n", - "# start simulation\n", - "Tf=42; Nf=2000 \n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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CWQEAAAAAGoLiJgAAAACgzfIZhlbtyZMhI6B9UJc4RdksLZQVAAAAAKChKG4CAAAAANqsndklyitzBbQlRtrULyW6hTICAAAAADQGxU0AAAAAQJtU5vJoY2ZhQJtJJg3vmSgz29ECAAAAQKtEcRMAAAAA0Cat3ZuvSq8voK1vSrSSomwtlBEAAAAAoLEobgIAAAAA2pyM/CPKKDgS0BYZbtHgLnEtlBEAAAAAoClQ3AQAAAAAtCluj09r9uYHtZ+XlqBwC6/BAAAAANCa8VYHAAAAAGhTNu0v1BG3J6CtW3ykuiVEtlBGAAAAAICmQnETAAAAANBm5Ja5tCOrJKDNGmbW0LSEFsoIAAAAANCUKG4CAAAAANoEn2FodXqeDBkB7YNT4xRls7RQVgAAAACApkRxEwAAAADQJuzILlHeEVdAW2KUTX2To1soIwAAAABAU6O4CQAAAABo9cpcHm3KLAxoM8mk4T0SZTaZWigrAAAAAEBTo7gJAAAAAGj11u7NV6XXF9DWNyVaSVG2FsoIAAAAANAcKG4CAAAAAFq1fflHlFFwJKAtymbRWalxLZQRAAAAAKC5UNwEWlC3bt1kMpk0atSolk4FAAAAaJXcHp/W7s0Pah+aliBrGK+8AAAAANDW8KYHAAAAAGi1NmYW6ojbE9DWLSFS3eIjWygjAAAAAEBzsrR0Ajg5eHw+7ctz6r/7C5VT5pLL45PNYlb7KJvO7BKn7okOWczU2pvaihUrNHr0aEnSokWLNHHixJZNCAAAAGhCOaUu7cwuCWizhpk1tHtCC2UEAAAAAGhura6aVL2N57H8eu+99+qNt2TJEo0fP16dO3eWzWZTcnKyLrroIi1atEher/eY8/rhhx90//3369RTT1VUVJRiYmLUv39//f73v9fBgwcb85FbNY/Pp68zCvTsij16ZcOP2pVbqkqvTxazVOn1aVduqV7Z8KOeXbFHX2cUyOPztXTKAAAAAFoBn2Fo9Z48GTIC2s9KjVOUjZ/jBQAAAIC26qR943M6nbruuuv04YcfBrQfOnRIhw4d0meffaaFCxdq6dKlSkpKqjPWwoULdf/996uioiKgfdu2bdq2bZvmz5+vV155RZdddkB/CxgAACAASURBVFmTf45fMpfHq/e/zdLWg8WKc1jVOdYuk8kUMCbKZpFhGCp1ebR0W5YyC50af3qybJawFsoaAAAAQGuwPatE+UdcAW2JUTb1SY5uoYwAAAAAACdCqy1uDh48WIsWLapzTNeuXWvtu+GGG/yFzcGDB2vq1Knq1auX9u/fr7lz5+rzzz/X+vXrdemll2r16tUKDw8PGeedd97RHXfcIcMwFB0drRkzZmjUqFHyeDz6+OOP9fTTT6uoqEgTJkzQl19+qXPPPbfhH7oV8fh8ev/bLH17sESdYyMUZjbVOtZkMinablVkuEVbDxRLkq4ckMI2tQAAAABCKq2o1KbMwoA2k0wa0SNRZlPt7x4AAAAAgNav1RY3IyMj1a9fvwbd+8477+j999+XJI0aNUrLli2TzWaTVFXovPzyy3XzzTfrX//6lzZs2KC5c+fqwQcfDIpz5MgR3XPPPTIMQxEREVq5cqUGDhzo7x8xYoRGjhypSy65RBUVFbrzzju1efNmmU+Cot3mzCJtPVhcb2GzpjCzSZ1i7dpyoEipcQ6d0y2+mbNsXl6vVwsWLNBrr72mnTt3yuv1KjU1VZdffrkefPDBelcEu1wuLVu2TJ9++qk2btyo9PR0lZSUyOFwKDU1VSNGjNBdd92lvn37Bt2bkZGh7t27B7TdeuutuvXWWwPaRo4cqRUrVgTk/MUXX2j58uVav369du3apaKiItlsNqWkpGjo0KGaMmWKhgwZ0vBvDAAAANAIhmFozd78oCMt+qVEKzHK1kJZAQAAAABOlLZfZQvhiSeekFS1YnDhwoX+wmY1s9msuXPnKioqSpL05JNPyhfiLMjFixcrOztbkjRt2rSAwma1iy++WDfccIMkacuWLfrkk0+a9LP8Enl8Pq3Zm684h/WYC5vVwswmxTmsIf+xojUpKirSsGHDdPfdd2vdunUqLi5WWVmZdu7cqSeeeEIDBgzQli1b6oxx3XXX6YorrtDcuXO1YcMGFRQUyOPxqKSkRNu3b9e8efPUv39/PfXUU02W97Rp0/SrX/1KM2fO1Jo1a5Sbm6vKykqVlZVp165dWrx4sYYOHar77rtPhmHUHxAAAABoYhkFTmUWOgPaomwWDU6Na6GMAAAAAAAnUqtdudlQGRkZ2rRpkyRp9OjR6tWrV8hxsbGxuuaaa7R48WIdPnxYq1ev1siRIwPGvP322/7ryZMn1zrn5MmT9frrr0uS/v3vf+uSSy5p7MdoNLfHpwKnu1li78s/oqziciVH21Tm8hz3/SZJ2cXl2vhjobonRDZ5fvGOcIVbmq+ubxiGrrzySq1fv16SNGDAAE2dOlV9+vRRSUmJ3nvvPc2fP19XXXWVnE5nrXE8Ho969uyp8ePH66yzzlLXrl1ls9l04MABbdiwQfPmzVNhYaFmzJihbt26acKECf57O3XqpG3btmnjxo2aNGmSJOmxxx7T5ZdfHjBHZGRk0JydOnXS+PHjde6556pHjx5yOBzKzs7Wt99+qzlz5igrK0tz5sxRly5dNH369Kb6tgEAAAD1cnm8WrM3P6j9vLREWcNOyp/dBQAAAICTzklX3Fy1apX/evTo0XWOPf/887V48WL/fTWLmx6PR+vWrZMk9ejRQ6mpqbXGGTJkiOx2uyoqKgLmb0kFTreWbstqltjbs0tUUOZSaUVlg2MccXn0xub96pcc3YSZVRl/eoo6RtubPG61RYsW+bd6veCCC/Txxx8HnNl6/vnna+zYsbrssstCrgiu9vTTT4csvp955pkaP368pk6dqpEjR2r79u36wx/+oGuuuca/5bHValW/fv2Ul5fnv69Tp071buU8depUzZ49W2FhYQHtZ5xxhsaNG6cHHnhAl1xyib744gs9/vjjuvPOO/0rnAEAAIDmtimzUE534A9Qdk+IVNd4RwtlBAAAAAA40Vrtj7Z+//33GjJkiOLi4mSz2ZScnKwLL7xQTz31lAoLC2u9b8eOHf7rPn361DlHzf6a90nS7t275Xa7jylOeHi4evbsKUnat29fnav12oIjLk+jf2raEmbWkQas+vwlePbZZyVV/bkvXrw4oLBZbdy4cf4VlbWpbVVxtfj4eP31r3+VJKWnp+vbb79tYMY/S0tLCyps1mS32zVz5kxJUnFxsT777LNGzwkAAAAci5xSl3Zmlwa0WcPMGtI9oYUyAgAAAAC0hFZb3Dx8+LDWr1+voqIiud1uHTp0SJ9//rlmzJih7t2766233gp5X2Zmpv+6rtWWktSlS5eQ9x1vnJqxDMPQgQMH6h3fmnkNQ6bjO2oziNlUFae1OXz4sLZu3SpJGjt2rDp37lzr2Lq2Mg6luLhY+/bt044dO7R9+3Zt3749oHD6zTffNCzpOpSVlSkjIyNgzpqaY04AAADgaD7D0Oo9eTIU+I5wdtd4RdlOug2JAAAAAOCk1ureAq1Wq8aNG6df/epX6tevnxISEuR0OrVt2za98sorWrt2rYqLi/XrX/9aXq9X119/fcD9paU//6RvfdtptmvXLuR9xxunvljVZs2apVmzZvm/djqdWr58eb2xQ0lKSlJJSYl/m9KjlZa5VVHhalDs+hhenyoNQ6ZGFCcrvT6FmUzNkmNpaakijOb57NVbFUvSwIEDVVxcXOvYtLQ0Wa1WVVZWyuPxhBy7detWLViwQF988YUOHTpU59wHDhwIilFWVua/djqddeZTbd++fZo3b56WL18eVNQ/WlZW1jHFPNEMwzjhefl8PpWXl7OaFa1aRUVFg/9/BzhZ8dwADXO8z07mEZN2lwb+BGW01VBm6W4daPwGJiEZHq98Xq9MWUXNMwHQAG6vV19n7WvpNIBWhecGaBieHaBheHaawDGUllpdcXPDhg2Ki4sLah86dKhuv/12zZw5Uw899JAMw9Add9yhiy66SImJif5x5eXl/utQ24XWZLPZQt53vHHqi1Vt6tSpmjp1qv/rpKQkjRkzpt7YR/N6vdq1a5eio6Nr3WI0ItKnCTUKrk0pwp6tffllSoyy1T+4FnllLnVPiNJlpyc3YWZV4h3hCrc0z6LliooK/3VqaqpiYmLqHJ+QkKBDhw7JYrEEjf3HP/6hGTNm1HkuZ00+ny8oRs3Cu8PhqDefN954QxMnTvRvuVwfj8dTb8yWUFxcfMLz8nq9ioiI0IUXXljn1r7AL9ny5csb9P87wMmM5wZomON5dkorKnXwm4Pq2eHnvxebTCZd2T+lUe8cdTm8coN2L/iX3IUlcnTqKFtirGyJ8bIlxsmeFC9bQpzM4dZmmRuoy9dZ+3ROSveWTgNoVXhugIbh2QEahmen8Xweb71jWl1xM1Rhs6Zp06Zp69atevXVV1VSUqIXX3xRM2bM8PdHRET4r+sr4LhcP6/uq3nf8capL1ZLCLeY1THa3iyxR/VKUmahU5HhYTI1YH9awzBUYDZpVK+kZsvxRDiWz27Usrp11apVmj59uiQpMTFR06ZN0/nnn6/u3bsrJibGX1Dfu3evevToUWesY5Wenq5bb71VbrdbDodDDz74oMaOHauePXv6z7aVqoqo1cW7xs4JAAAA1MUwDH21N1+eo37g7/Tk6GYrbO556W2lv/D/5K1wyeuuVHnW4ZDjrNFRsiUlyJZQVfi0J8X5C6C2hFiZrRQ/AQAAAKA5tLri5rG4++679eqrr0qSvvjii4DiZs3tYWtu2RlKzf52R61yPJ449cVqa7onOhTnCFepy6No+/G/0Je6PIp32NQ90dEM2TWvhIQE//Xhw6H/EaSax+NRYWFhyL7nn39ekhQWFqaVK1eqT58+IccVFBQ0MNNgL730kr8I/84779T6k/RNOScAAABQl335Tu0vdAa0RdksGpRa9w+9NlTht98r/YX/d0xjK0vKVFlSprI9P4bsD4+Nli0hTraknwqe1YXP6uKnpU2+jgMAAABAs2uTb1P9+vXzXx84cCCgLzU11X+dmZmpwYMH1xqn5nmDNe8LFac+1WNMJpM6d+5c7/jWzGI267y0BC3dlqXIcIvCzMe+etPrM1TorNT401NkqeW80F+y/v37+6/Xr19f59hvvvmm1lW/27Zt88errbApSRs3bqxzjuNZOVs9Z3x8fJ1bhNU3JwAAANAUXB6v1u7LD2o/Ly1R1rCmf1fweb3a+fcXmiyeu6hE7qISlYYqfppMVcXPxPiqbW7bx8uelCB7+3jZkhJkjY5q0C44AAAAAHAyaJPFzZovgUe/EPbt29d/vXPnTl111VW1xtm5c2fI+ySpV69eCg8Pl9vtDhgXitvt1p49eyRJ3bt3l8PR+lYkHq9BqbHKLHRq64FidYq1H1OB0+szdLCoQgM7x2pQauwJyLLpdejQQQMGDNDWrVu1bNkyHTx4UJ06dQo59p///GetcTwejyTpyJEjtY7xer1asGBBnfnY7T9v61tza+S65qyoqJDX66313Mi5c+fWGQcAAABoCht/LJTT7QloS0uMUtf45nmf2r9kmcrSgwuREcnt5S4slrei7r9PHxfDkLuwWO7CYpXu3hfUHWa3yZYUL3tivGztE2RPipe9fYJ/FSirPgEAAACczNrkG9H27dv91ykpKQF9I0aM8F9/+eWX+uMf/1hrnC+//DLkfZJksVg0ZMgQrVy5Unv27NH+/fvVpUuXkHHWr1+v8vLykHHaKovZrPGnJ0uSthwoUpzDqnY2S8ifPjYMQ6UujwqdlRrYOVbjT09ulas2q91zzz2aPHmy3G63Jk2apA8//FDWo87bWb58uV588cVaY/Tu3Vvff/+9du/erVWrVgX9d2MYhqZOnaqtW7fWmUvNwuru3bvrHNu7d28tW7ZMTqdTb7zxhm666aagMTNnztRHH31UZxwAAACgsQ6XVui7Q6UBbdYws4Z0j2+W+Vz5hdq98M3ARrNZfX43RXGnnyLDMOQ54pQrr7DGrwJV5Fb97sorlK+WXVkawlvhknN/tpz7s4M7TWbZ4mP8xc6av9uT4mWJbPs/TAsAAADg5NYmi5vz5s3zX48ePTqgr1u3bho8eLA2bdqkFStWaPfu3erVq1dQjKKiIr399tuSqlbjDR8+PGjMtddeq5UrV0qSFi5cqL/+9a8h83nhhZ+3NrrmmmuO/wO1UjZLmK4ckKLUOIfW7M3XgaIKhVtMclgtCjNLXp/krPTI7TEU5wjX+NNTNCg1tlUXNiVp0qRJeuWVV7R69Wr95z//0dlnn62pU6eqT58+Kikp0fvvv6958+YpNTVVZWVlys3NDYpx6623aunSpTIMQ5dddpmmTp2qESNGqF27dvruu+/0/PPPa+3atRo+fLhWr15day6dO3dWt27dlJGRoRdffFH9+/fXoEGDZLPZJEkRERH+Augtt9yiOXPmyDAM/fa3v9U333yjsWPHKj4+Xnv37tXLL7+sjz76SMOGDdNXX33VPN88AAAAnPS8PkOr0/NkyAhoP7trvCLDm+cV9ofnXpX3SHlAW8rFI+RIaS+pakcga1SkrFGRiuoWfMyIYRjylB6RK79QrtxCVfxU8HT5fy+Ur7KyaZI1fFXz5BdK3wV3WyIdVcXOpBpFzw4JsrdPVHhsO5la+fsWAAAAALSq4uYnn3yiESNGKDIystYxs2bN0ssvvyxJioqK0qRJk4LGPPLII7r66qvl8/l0++23a9myZQoPD/f3G4ahu+++W2VlZZKkGTNmyBziBXDixIl6/PHHlZ2drZkzZ+qaa67RgAEDAsYsW7ZMr7/+uiRp4MCBuvjii4//g7diFrNZ53SL16DUWO3Lc+q/+wuVU+aSy+OTzWJW59h2OrNLnLonOlp9UbOa2WzWe++9p4svvlgbNmzQli1b9Jvf/CZgTMeOHbVkyRJdeeWVIWNcccUVuueee/Tcc8+ppKREjz76aNCYMWPG6Omnn67zTE5J+stf/qJbb71VRUVFuuWWWwL6Ro4cqRUrVkiSzjzzTD355JOaMWOGXC6XZs2apVmzZgWMHzRokJYsWaIOHTrU810AAAAAGmZ7VrEKnIGrINu3s+u0ju2aZb6Cb3Yoe9mqgLbw+FilXjtOrpzgMz9DMZlMskZHyRodpajuwTv6GIahypKyGgXPIrly81WRVyhXbr5ceYUyfL4m+TyeI055jjh1JONAUJ/Zaq0qdHZIkr19vOwdkhTRMVG2pASFx0VzzicAAACAVqFVFTeffPJJXX/99Ro/fryGDx+u3r17KyYmRuXl5dq2bZteeeUVrVmzRlLVy+XcuXNDFmGuuuoqXX755Xr//ff15Zdf6rzzztNDDz2knj176sCBA3ruuef02WefSZLOOuss3X333SHziYyM1Jw5c3TttdeqvLxcI0aM0MMPP6xRo0bJ4/Ho448/1qxZs2QYhmw2m+bNmxeySHoysJjN6tU+Sr3aR7V0KidEfHy81qxZowULFujVV1/Vd999J6/Xqy5dumj8+PGaOnVqvQXCOXPm6Pzzz9f8+fO1adMmlZWVKTExUf3799dNN92kG2+8UT/+GHwm0NEmTpyo5ORkf5zc3Fy5a9kya/r06TrrrLP0zDPPaN26dSooKFB8fLxOPfVUXXfddZo8eXLQFrsAAABAUympqNTm/UUBbSaTScN7JMrcDIU3n8ej7/7xz6D2U+67RRaHXU11yqbJZFJ4TDuFx7RTux6pQf2G1ytXQbEqcvKrip45+arILZArJ18VOQXyVlQ0SR6+yko5DxyS88ChoD5zeLh/hae9Q4IiOiTK3iFR9vYJssZS+AQAAADwy2EyDMOof9gvw6hRo/zbwNYlPj5e8+fP14QJE2od43Q6NWHChDrPDzz33HO1dOlSJSUl1TnfwoULdd9998nlCv3qGxsbq1deeUWXXXZZvbnXlJSUFHLL0vp4vV7t2rVLvXv3VlhY2HHfD7R2xcXFiomJOaFz8tyhLVi+fLnGjBnT0mkArQrPDdAwoZ4dwzD0yc7DOlDkDGgf0ClW53RrnrM2M974QD88+3JAW9zAPjpr3v+oND1DRzIOypYQ1yxzHyv/eZ+5BVVFz58Knq7cAlXk5stdWCw182u92RZeVfRsnyB7h0RFdPz52hrTjsLnCfR11j6dk9K9pdMAWhWeG6BheHaAhuHZaTyfx6uBV43TgQPBu9FUa1UrN2fOnKkvvvhCX3/9tX744Qfl5eWpoKBAFotFiYmJGjBggMaMGaObb75Z0dHRdcZyOBz68MMPtWTJEr388svavHmz8vLyFBcXp379+umGG27QLbfcckxFiilTpmjkyJGaO3euli9froMHD8psNqtr16669NJLdc899/jPNQQAAAAABNubfySosBlls+rMLrHNMl/54Tylv/D/AhvNZvWZPvkXVawLOO8zxJa3vspKufKKVJGbL1dOVcGzugjqyi1okrM+fS63nPuz5NyfFdTnL3z6V3smKSI5UfaOSbJG1X6kDAAAAAA0VKsqbg4aNEiDBg1q0phXX321rr766kbHOeWUU/Tss882QUYAAAAAcHJxebxau7cgqH1YjwRZw5rnaI/vZ70kb3ngdq9dr7tEUWnBBcRfMrPVqojkJEUkB+84ZBiGKotKqoqdh/NUfjhPFYfzVZFT9buvluMqjkddhU9LpEMRHZNkT06q+r3jT7+3j5eZ4y4AAAAANFCrKm4CAAAAANqeDT8WqrzSE9CWlhil1DhHs8yXs3qjclZtCGizt09Qz9/WfrRJa2QymRQeF6PwuBhFn5IW0Fez8Fl+KM9f8Kw4nFtV+GyCFZ+eI06V7vlRpXt+PCoxs2yJsYro+HPR094hURHJ7RUex/meAAAAAOpGcRMAAAAA0GIOlVTou0MlAW3hFrOGdG+eczY95RX6buaLQe2nTbtNFkdEs8z5S1Rn4dPnk7uotKrgGVD4zFPF4Tz5PJ5aoh4jwydXbtW5oUXbfgjoqt7mNsK/2jPRXwC1RNgbNy8AAACANoHiJgAAAACgRXh9hlbvyQtqP7trvCLDm+d1dc+Lb6vicOCcScPPUvsRZzfLfK2RyWyWLT5GtvgYxZzaI6DPX/j8aYXnzwXQ/CYpfNa1za01pl3Aas+IjlVne9qT4mUKC2vUvAAAAABaD4qbAAAAAIBm5fH5tC/Pqf/uL1ROmUu7D5q1a2W63B6f3F6f4hxWmX/airR9O7tO69CuWfIoTf9RGW98ENBmttt02tRJzTJfWxRQ+DytZ0Cf4fPJlV9Udb7noVxVHMpVeXbV766CokbPXVlcqsriUpX8sDcwJ4tF9vYJikhpL0dye9mT28uR0l72DokKs9saPS8AAACAXxaKmwAAAACAZuHx+bQ5s0hr9uar0OlWuMWkyHCLTJLKXB7tzC5Rpc+nCGuYusRFqFOsQ8N7JDbLmYuGz6cdTy2UfL6A9p6/naCIjklNPt/JyGQ2y54UL3tSvGL79Q7o87rcVdvaHqoqfPqLn4dy5S2vaNS8hsej8qzDKs86rIKj+mwJcYpIbq+IlPZVW90mt1dEcntZ2kVyticAAADQSlHcBAAAAAA0OZfHq/e/zdLWg8WKc1jVOdbuLybZwqSCI245wsNkGGa5vYZ+OFymdjaromzNs73ogQ8+V/FR5ztG9eyqrtdd0izzIVCYLVyRqSmKTE0JaDcMQ5UlZT8VOvP8Bc/yQ7ly5eTLOKoYfbxc+YVy5ReqaHvgn70l0vFToTNJESkd/Ne2xDiZzOZGzQkAAACgeVHcBAAAAAA0KY/Pp/e/zdK3B0vUOTZCYebAFXJHPJKnolKSZDKZZLOYFGmzqNBZqaXbsnXlgBRZmrDA5Coo0q55rwe19/ndFJktvBa3JJPJpPCYdgqPaafoU9IC+nwer1x5BSELn5XFpY2a13PEqdL0DJWmZwS0my0W2Wus8PQXPzskyhxubdScAAAAAJoGb3EAAAAAgCa1ObNIWw8WhyxseryG8t0mxTgC7+kW71CUzaItB4qUGufQOd3imyyfXc+9Kk9JWUBb5ysuUtzppzTZHGh6ZkuYIjomKaJjkuKO6vOUV/jP9CzPzqn6PeuwKg7nNWq1p8/jkXN/tpz7swM7TCbZEuNqFD2rtrp1pLSXJdIROhgAAACAZkFxsw3i3BCg5fD8AQCAk53H59OavfmKc1iDCpuSdLC4XN6jak9xjnDFRFh/urZqzd58DUqNbZLVm/mbtyvrk5UBbdbYaPW+88ZGx0bLsUTYFdW9i6K6dwlo93m8cuUWqDz78E8Fz5yfip858la4Gj6hYciVWyBXboGKvv0+oMsaEy1Hp6qtbR2df9ritlMHWaMiGz4fAAAAgFo1qLjp8XiUmZkpSercubPCw8MD+isrK/XHP/5Rb775pnJzc5WWlqb77rtPU6ZMaXzGqFd1ccXr9SosrHnOqwEQyOv1SqK4CQAAsC/PqUKnW51j7UF9ZS6P8soCC0xhZpO6xEX4v25ns+hAUYX25TnVq31Uo3Lxut3a+dTCoPZT77tF1ujGxcYvk9kSVrWVbHJSQLthGKosKpEzK0cV2bkqP5TjL3y6i0oaNWdlcYmKi0tUvHN3QLs1OkoRKR1qFD47KiK5Pf/tAQAAAI3UoOLm0qVLde211yomJkYHDx4M6r/++uv17rvvSqp6gdi5c6fuvPNOZWRk6P/+7/8alzHqZTKZZLfb5XQ6gwrPAJqH0+mU3W6nuAkAAE56/91fqHCLKejvRT6foR8LnEHjO8VGyBr28wpNk8mkcItJ/91f2Oji5r6X35UzMyugLX5QPyWPHdGouGh9TCaTwuNiFB4XI/XtFdDncZar4lCenFmHa2xzm6OKw/mS0fAtbitLylRZUqaS7/cEtFuiIqsKnikd5EjpoIhO7RWR0kHW6CjeJwAAAIBj0KDi5meffSbDMHTppZcqIiIioG/lypV65513ZDKZFBkZqdNOO007duyQ0+nUU089pV//+tfq379/kySP2kVHR6ukpESxsbEtnQpwUigpKVF0dHRLpwEAANDicspcigwPftU8UFyuikpvQFukzaLESFvQWIfVopyyRmwhKqls737tfeWdgDaT1aI+0ydTQEIAiyNCUWldFJV29Ba3HlUczvcXO2sWPn0ud4Pn85QdUckPe1Xyw97APCIdiujUQY6ftrWtXvVpjWnHf7MAAABADQ0qbm7cuFEmk0kjR44M6nvppZckSR07dtT69evVpUsX7d+/X0OHDlVWVpZefPFFzZ49u3FZo17R0dHKz89XXl6eEhMTWzodoE3Ly8tTRUWFkpOTWzoVAACAFufy+GQ56qjM/8/enYe3VZ5pA7/P0X4k76tkS7GdjayEEMIeSgploDQtS2mBlrB805altKQzrFMKpSwtkEKhLNMyhQRoh2WgFOaCDpCQhpIQEshO4iTeJS/yIls62s/5/pBz7BM7TqxIiZ3cv+vK5XBb5310/nBT6znv8/aE4+jo0zcrBUHAhAIJw/VsDGJqnXSpioItDz4NNaFvptZcdTHsEyrSXpeOLaLRCKki1WAcTFVVxLoDCHvbIbe0IextQ7ilDbK3DclwJO16iZCMvp116NtZp8uNdkk7xzNmE9AzMw6bswzmglw2PYmIiIjomJRWc7O9vR0AMHXq1CHf+/vf/w5BEHDDDTfA7U499eh2u3HjjTfizjvvxKpVqw7h7dLBMplM8Hg8aGxshCzLyM3NhSRJPIOTjgmKomhnYGZLMpmELMvo7e1FJBKBx+OByWTKak0iIiKi8cBiFBFPDjQm40ll2HG0rjwrbObhfz9JKql10tX0P+8hsGWnLrNXu1F91bfSXpNoL0EQYCnMh6UwH/kzp2j54HM9w/1NT9nbjrC3DYnQ0J+Bg5UIyejbVY++XfWIxmPY/u4aAIDBZk2NtXWVwlZRDqky9YfjbYmIiIjoaJdWc9Pv9wPAkBGMtbW1aGtrgyAI+MY3vqH73vz58wEAdXX6JxApe6xWK6qrq9Hb24vu7m74fL4j/ZaIDotwKJeX8QAAIABJREFUODxkZHY2WK1W5Obmwul0srFJRERE1K/UYcHOjj44LEaoKlDfKSOR1O/CtBqAshzrfteQ4wlU5uekVT/c5sfOp1/Sh4KAGXf8CAazOa01iQ7G4HM98wed66mqKuK9QW13Z7ilDWFfO+Tm1kNqeibDEfTtbkDf7gZdbrRLWqPTVlGu7T412qW0axERERERjSVpNTdVVQUA9PT06PJ//vOfAFJNz33P1SwqKgIAyHL6/8edRs9kMqGoqAhFRUVQVVX7Q3Q0e//993HOOedkbX1BELQ/RERERKQ3112ALb5eqKqKjmAMvZG47vsGUUSJVR12HC2Q+n0zmlAw110w6tqqqmL7w39AUtaPBnVffB4KZg2dPER0OAiCAHNeDsx5OcibPknLtaanrx3h5jbIvjaEW1I7PeN9wbTrJULysGd6mvNzB5qde5ufzlIYrEPPvSUiIiIiGsvSam6WlpaiqakJtbW1WLBggZZ/8MEHAIBTTz11yDWhUAgAUFAw+l9QKTPYjKFjCUcwExERER0Z1cUSCiQzOoIxNPeEh3x/QqGETu/+r++LJlAoWVBdPPpdZq3v/xMdH6/XZZaSQky5/opRr0WUbbqm53ETdd/b2/TUzvT0tkNuaQU6u9KuF+vpRaynF4Gtg0Y2CwIsxQWQ9o61rSiHraIMNmcJRGNaHxkREREREWVdWv9Pde7cuWhsbMRzzz2Hq6++GgaDAR0dHXjzzTchCAK+8pWvDLlmz57UE4NlZWWH9IaJiIiIiIho7DKKIk6pKsDTq/fAahQhDnrAsshhQYFkQud+rk0qKrrlOBbNcsEoju7MzVigD9uXPjckn37rDziOk8YdU64DplwHcqfW6PI1tdswXbWlzvNs2dv0bEM80JteIVVFtKML0Y4udH+xTYsFUYS1vARSRRlsFWVa89NaWgRhlD+bRERERESZllZz84orrsCbb76JtWvX4vTTT8cZZ5yBv/3tbwgGgzAajfjud7875Jo1a1IH3k+aNGnI94iIiIiIiOjokVCAQsmMtt4IcqxGiIIAi8kAd/7+z0VPKipaeiKYU5mPEz35o66544lliPfoGzxlXz0NpWfMG/VaRGOVYLch11WN3CnVujweDKXO9GxuhdzSBrmlFXJzK5Ly0N3TB0NVlP4do23AuoFcNBphc5Wmxtv27/SUKstgLsznpCgiIiIiOmzSam5eeuml+NrXvoa///3vWLduHdatW6ed43jjjTfC4/HoXq+q6oi7OomIiIiIiOjo0Ngt48u2XkwtcwAAWnsjsJkNmFqWA4M4tPmhqir6ogl0y3HMqczHolnOUe/a7Fy3Cd53VugyY64D05Zcm/6NEI0jJocdpqk1up2eqqoi3tM7qNnZhnCzD7KvHUo0llYdJZFAqNGLUKN+trTBakmNtK0sh+Tq3+1ZWQ5zXs4h3RcRERER0XDSPkDhzTffxL333os///nP8Pl8qKiowHXXXYc77rhjyGvfeusteL1eCIKAhQsXHtIbJiIiIiIiorFJjiXwUW0HgNR42mnlOcizGRFPAt1yHKFYApLJiGgS6IskIMcTiCVUFEhmLJrlwome/FE3NpORKLY+9OyQfOpNV8FSOPodoERHC0EQYC7Ig7kgD/kzp2i5qiiIdvZAbm5FuGVgp2fY1wE1kUirVjISRd/uBvTtbtDlplwHpEpnapdnZTkktxOSqwyi2XRI90ZEREREx7a0m5tWqxUPPvggHnzwwQO+dsGCBairqwMATJgwId2SRERERERENEapqoqPdvkRjie1TBQEnDShCOdNK0VDZxgbmrrRHoxCBWA2iqjMz8FcdwGqi6VRNzX32vXHV1KjMwcpPHEmKi48+1Buh+ioJYgirCWFsJYUAidM13IlkUSk3Y9wcxtk794Rt62ItHUCqpJWrXhvEIFttQhsqx38BmAtLUw1Pd3lWvPTWlLI8zyJiIiI6KCk3dwcjYKCAhQUFByOUkRERERERHQEbGvtQ1O3rMssRgPOnlwCs8GAyaUOTC5Njap9L7Ib55016ZBrBrbvQv2f/6bLRLMJ02/7Ic//Ixol0WiA5CqD5CpD0aBciccR9nVozU65uQ3hllZEO7vTK6QqiLT5EWnzo2v95oH6FnOq/t4dnpWpxqcpx35oN0ZERERER53D0twkIiIiIiKio1dXKIY19Z1D8jMmFsFhyc6vnclYDJvv+z2g6HeUTfrX78DudmalJtGxSDSZYPe4YPe4dHkiHEG4pQ1ySxvCg3Z6xgN9adVRojEE65oQrGvS5aa83IGxtpXlsLudsLlKIZo42paIiIjoWMXmJhEREREREaUtoSj4cGc7koqqy6eW5mBisSNrdff812sI7dMEyZlSjQmXfyNrNYlogNFmRc6kCciZpD9+KN4X6t/h2f+nyQe5pRVKNJZWnXigF4FALwJbdw6EgghbefGQ8zwtRfkcbUtERER0DBixufnLX/4yK0XvvvvurKxLREREREREh9enDd3okvVNi1yrCafVFO3nikPX++Ue7Fn+pi4TDAbMvOsGiAZD1uoS0YGZcuzIO24i8o6bqGWqoiDq74bc7IPc3IpQU+pr2ud5qgrCvnaEfe3oXLdRiw1WC2wV/Ts8tTM9y2G0S5m4NSIiIiIaI0Zsbt5zzz1ZOaeEzU0iIiIiIqLxr6lbxhZvQJcJgoCFU0phMmRn95QSj2Pz/UPH0dZcfQlyp1RnpSYRHRpBFGEtLYK1tAiFc2dquRKLQ/a2p3Z39jc+5WYf4r3BtOokI1EEdzcguLtBl5sL8gaNtk3t9rQ5SzjaloiIiGicOuBYWlVVD/SSUclGs5SIiIiIiIgOr3AsiZW1/iH5PE8BSnMsWau754U3ENylb1w4Jk1AzeKLslaTiLJDNJvgqKqAo6pCl8d7g7odnuFmH+SWNijxeFp1Yt0BxLoD6Nm8Q8sEUYS1vAR2txOS2wXJnTrP05Sfy8+uiIiIiMa4EZubdXV1h+t9EBERERER0TihqipW7e5AOJ7Q5eW5VhxfkZe1ur0767Dn+df1oShi1l03cgcW0VHElOtA3vRJyJs+SctURUGkvXPgLM/+XZ6R9k4gjQfzVUVB2NuGsLcNWPuFlhvtEuweFyS3M7XL0+2EVFHK/40hIiIiGkNGbG5OmDBhpG8TERERERHRMWhbax8aumRdZjaKWDilFGKWdjwpiQS23P8U1GRSl9d8/1vIPa4mKzWJaOwQRBG28hLYyktQNG+WlicjUYR97almZ9PAmZ6JYCitOomQjMD2XQhs3zW4OGxO7vIkIiIiGisOOJaWiIiIiIiIaK9uOYY19Z1D8jNqiuGwZO9XzLoX/4q+nfrpQvZqN2quvTRrNYlo7DNYLXBUu+GodmuZqqr9o219uqZnuKUNSiIxwmr7oXKXJxEREdFYwuYmERERERERHZSEouDDnR1IKvoRkFNKczCpxJG1un27G7H7uVf0oShi1s9vhMFszlpdIhqfBEGAOS8H5rwc5M+YouVqMpkabdvUilCzT2t6Rv1dadXhLk8iIiKiI4PNTSIiIiIiIjoonzV0ozMU1WU5VhNOqy7KWk0lmcSW+38PNaEfR1t9xSLkTZu0n6uIiIYSDAbYnKWwOUtRNH+2lifkcGqHZ6MPcrMPof6mpxKLjb4Id3kSERERZV1GmpubNm3C559/Dr/fD1mWoR7gIPe77747E2WJiIiIiIjoMGnulrHJG9BlgiBg4ZQSmI1i1urWv/w39G7frcvsEyow8V8vy1pNIjq2GCUbcqdUI3dKtZapipLa5dncCrnRqzU8ucuTiIiI6Mg7pObma6+9hrvuugu7du068IsHYXOTiIiIiIho/IjEk1i5yz8kn+vOR1mONWt1+3Y1YNcf/qIPRREz/4PjaIkouwRRhK28BLbyEhTNm6Xl3OVJREREdOSl3dx8+OGHcfvttwPAAXdqDsYnz4iIiIiIiMYPVVWxapcfciyhy8tzrTihMj9rdZV4HJt/+QTUuL7uhO98Hfkzp+znKiKi7OIuTyIiIqIjL63m5rZt23DHHXcAAGbMmIH77rsPZrMZX//61yEIAnbt2oWuri6sW7cOzz77LDZu3IgFCxbg2WefhdWavad6iYiIiIiIKLO+bOtDfVdIl5kMIs6eXAIxix+o7/6v19BXW6/LJI8Lk394edZqEhGl44jv8pxQAcnt1HZ72pylEI2GTNwaERER0ZiUVnPzqaeegqIoKCwsxKpVq5Cfn4+tW7dq36+urkZ1dTVOPPFE/OAHP8Att9yCJ554AkuWLME777yTsTdPRERERERE2dMjx/BJ3dCdR2dOLEaONXvjEQPbarFn2Rv6UBQx+xc/hsHCcbREND4c1C7P5lbITb5D2+W5rRaBbbVaJhiNkFylkDwu2N0uSB4n7G4njHbpkO+JiIiIaCxIq7m5atUqCIKAG264Afn5I48hEkURjz/+OD777DO8++67+POf/4zLL+eTtkRERERERGNZUlHx4c4OJBRFl08qcWBSiSN7daMxbLr3CWCfujVXXYS86ZOzVpeI6HA4HLs81UQCoUYvQo1edAzKLYX5/Q1PZ+qrxwVLcQEEUczAnREREREdPmk1NxsbGwEA8+fP17LB8/0TiQSMRv3S119/PT755BMsX76czU0iIiIiIqIx7rPGbvhDUV2WYzXhjJrirNbd+dRLkBu9+rpTqjHx2kuzWpeI6Eg6HLs8o109iHb1oPuLbVpmsFogVTphn+Aa+FpRDtGcvd35RERERIcqreamLMsAgMrKSi2TpIHRFoFAAEVFRbprpk2bBgDYtGlTOiWJiIiIiIjoMGnuCWNjS48uEwQBZ08ugdmYvR0+neu3oPEV/VEmgsmIWXf/GKKJH7QT0bHlYHZ5hpp9kBtaUrs8E4lR10hGoujbVY++XfWDC8NWXtx/jmcFJHc57BMqYM7LycBdERERER26tJqbubm56O7uRjQ68BRvYWGh9ve6urohzc2+vj4AgN/vT6ckERERERERHQaReBIrazuG5HMr81Gea81a3URIxpZf/X5IPvkH30XORE/W6hIRjTfD7vJMJhFu80Nu8iHU6NW+xgN9oy+gKgj72hH2taPz041abMp1QHK7YPc4+7+6YCsvhmAwZOK2iIiIiA5aWs3NSZMmYd26dWhoaMDJJ58MINXwdDqdaG1txYoVKzBv3jzdNatWrQIAOBzZO5uFiIiIiIiI0qeqKlbt9kOO6Xf/lOVYcYI7P6u1v3z8eURa9U3V/NlTUXXFoqzWJSI6GggGAyRXGSRXGYpPnqPlsUDfkIZn2NcBqMoIqw0v3htEYOtOBLbu1DLRaIStsnzgHE+3E5LbCaNky8h9EREREQ0nrebmSSedhHXr1mHdunW47LLLtPxrX/saXnjhBTzyyCNYtGgRpk6dCgBYvXo1li5dCkEQhjQ9iYiIiIiIaGzY0R5EfWdIl5kMIs6eUgJRELJWt+Pj9Wj524e6TLRaMPM/boIgZm8MLhHR0c6clwNzXg7yZ07RMiUeh9zSljrHs9GHUJMXcqMPyUhk1OsriQRC9c0I1TfrcktxIeweV/9o29RXS3EBhCz+W0JERETHjrSam+eeey5+//vf46233sLDDz+s5T/5yU+wfPly+P1+zJo1C7Nnz0YoFEJtbS0URYEgCLj++usz9uaJiIiIiIgoM3rCcfxzT+eQ/IyaYuRas3feZSzQhy0PPD0kn/rjq2B3O7NWl4joWCWaTHBUVcJRVallqqoi6u+G3JRqeMqNXoSafIj6u9KqEfV3IervQteGLVpmsFn3aXi6IFWU8kxlIiIiGrW0mpv/8i//gkWLFiGZTGL37t2YOHEiAGDOnDl46KGHcOuttyKRSGDDhg2662666SZ885vfPPR3TURERERERBmTVFR8uLMdCUU/pnBSsQOTS7N3tIiqqtj60DOIdfXo8qL5x8N90deyVpeIiPQEQYC1pBDWkkIUzp2p5YlQGHKzD6EmH0INXsjNPoSbW6EkEiOsNrxkOILeHXvQu2PPoMIiJFfpQMPT44RU6YQ5LycTt0VERERHqbSam2azGW+++eaw3/u3f/s3zJ8/H88++yw2b96MRCKBKVOm4JprrmFjk4iIiIiIaAz6rLEb/mBUlzksJpw+sSirdVveXoH2lWt1mdEhYeZdN3B0IRHRGGC025A7tQa5U2u0TE0mEW71I9TYkjrHsyF1nme8Lzj6AqoCuaUVcksr/Gs+12JTXi7sHicktwt2T6rxaS0r5qhyIiIiApBmc/NAFixYgAULFmRjaSIiIiIiIsqglp4wNrUEdJkAAQunlMBiNGStrtzcii8f+68h+bQl18Famt2mKhERpU8wGCBVlEGqKANOTWWqqiIe6EOoMdXo3Ps13OoHVGXkBYcRD/SiZ3Mvejbv0DLRZIJUWd6/wzPV9JQqnTBYLZm6NSIiIhonstLcJCIiIiIiorEvEk9iZW0HVKi6/AR3PspzrVmrqyYVbLr3d0jKEV1efs7pcP4LH5QlIhpvBEGAOT8X5vxcFMw+TsuT0RjCLW0INXoRavJCbvBCbmlFMhIdYbXhKfE4gnVNCNY1DS4Ma2kR7J4K2Cf0n+c5oYJjbYmIiI5ybG4SEREREREdg1RVxT92+xGK6c9NK82xYq47P6u1o/+3BoEtO3WZtbQI0//9XzmOlojoKGKwmOGoccNR49YyVVEQ6ejS7fAMNXqHnL98UFQVkTY/Im1+dK7bqMWmXAfsngpIHifidhFhwQFrWRHH2hIRER0l2NwkIiIiIiI6Bu1sD6KuM6TLTAYRZ08ugZjFBmP35h2I/t8aWHMG7aoRBMz6xc0w5TqyVpeIiMYGQRRhKyuGrawYRfNmaXkiJKd2eDb6IDelvoa9bVCTyVHXiPcG0bNlB3q27EAkHsMXr34I0WxO7ex0O/t3ebogVZbDYDFn8vaIiIjoMEirublw4cK0CwqCgA8++CDt64mIiIiIiOjQBMJx/LOuc0h+ek0R8mymrNVNyGFsvud3gKofg1t1xSIUzp2RtbpERDT2Ge0S8qZNQt60SVqmJBII+zogN3p1uzwTIXnU6yuxGIK7GxDc3TAQCiJs5cWDzvFMjbblWFsiIqKxLa3m5sqVK9MaFaSqKkcMERERERERHUFJRcWHO9sRTyq6fGKxA5NLsrtzcvvS/0LY26bLcqZUY/IPv5vVukREND6JRmNqp6XbiZLTTwSQ+nwx1t2LUEOLtsMz1NiCaEfX6AuoCsK+doR97cDaL7TYnJ+rNTvtbhckjxPWUo61JSIiGivSam56PJ4DNilDoRD8fj+A1G7N4uJiSJKUTjkiIiIiIiLKkA1N3egIRnWZw2LEGROLsvowauuHn8D7zgpdJppNmH3PTyCasrdblIiIji6CIMBSmAdLYR4KT5iu5Qk5nNrZ2eRDqMELubEFcksbEB99jVhPL2I9vejZ9KWWGawWSBXlsFdVQHK7YPc4IVWW898wIiKiIyCt5mZ9ff1Bvc7v92PZsmW49957UVhYiLfffhsTJ05MpyQREREREREdIl8gjC+aA7pMgICzJ5fAYjRkrW6kvRNbf/3skHzqzYvhqK7MWl0iIjp2GCUbcqfWIHdqjZYpiQTWfLEBk6KG/vM8U3+ScnjU6ycjUfTtbkDfvmNtnSWpHZ6DRtuacuyZuCUiIiLaj7SamweruLgYS5YswVe+8hUsWLAAF1xwATZs2AC7nf/AExERERERHU7RRBIrajugQn/e5ZzKPDjzbFmrqyoKNt/3JBK9QV1efNpcuC8+L2t1iYiIRKMRBlcJSlzV+rG2nT1ao1Nu9CLU5EPUn+ZYW28bwt42+Nd8rsXmgjxds9PuccFSXMCxtkRERBmS1ebmXnPnzsX111+PRx99FI8//jjuvPPOw1GWiIiIiIiIkPogd/XuTgSjCV1e4rBgrrsgq7XrX34LXZ9t1mWC3YaZd92Q1TG4REREwxEEAZbiAliKC1A4d4aWJ0LywEjb/rM8wy2tUBVlhNWGF+sOINYdQPfG7VpmsFoheZywu12wT3BBcrsgVZRyrC0REVEaDktzEwAuuOACPProo3j11VfZ3CQiIiIiIjqMajuC2O3X75w0GUQsnFIKg5i9BmNgWy1qn/nzkNz23fNgKczPWl0iIqLRMtol5B03EXnHDRyppcTjCPs6EGpoSe3y7G9+JiORUa+fjETQt7MOfTvrtEwQRdhcpbB7Kvp3eTph97hgtEsZuSciIqKj1WFrbhYUpJ4G3rNnT1bWX7t2LU477TQo/U9TnXXWWVi5cuWI1ySTSSxbtgwvv/wytmzZgq6uLpSUlGDu3LlYvHgxLrnkkoOu/9lnn+GZZ57BihUr4PV6YbPZUFNTg4suugg33ngj8vP5izsRERERER1+gXAcH+/pHJKfVl2EPFv2dovEgyFs/PljUJNJXe6++Dw0zfBkrS4REVGmiCaTNlZ2L1VVEfV3p5qdDS2p3Z6NXsS6eka9vqookJtbITe3Av9cr+WWwvxUs3NCBeweJyR3/1hbTjwgIiICcBibm7t37waQaihmWjQaxbXXXqs1Ng9GR0cHvvGNb2Dt2rW6vKWlBS0tLfjb3/6GCy+8EK+88gpstpHPn7nnnntw33336epHIhGsX78e69evx1NPPYXXX38dp5xyyuhujIiIiIiI6BAkFRUrajsQT+p/V6opdmBKqSNrdVVVxbZf/yfC3jZd7qhxY+rNi9G0ckXWahMREWWTIAiwlhTCWlKIohNnank8GILc6EOoyZsabdvohextB9TRj7WNdvUg2tWD7i+2aZnBZtUarVL/aFubqxSi8bB9vEtERDRmHJZ//aLRKH7zm98AACZNmpTx9e+9915s27YNZWVlaGtrO+DrY7EYvv71r2PdunUAgHPOOQc33ngjKisrUVtbi0cffRTr16/H22+/jcsvvxxvvvnmftf67W9/i3vvvRcA4HQ6cccdd2D+/PkIBoN49dVX8Z//+Z/wer34+te/jk8//RQTJ07c71pERERERESZ9HlzD9r79KPz7GYjzqgpyuruj5a3V6D1/Y91mWgx4/j7lsBgMWetLhER0ZFictiRN30S8qYPfPapxOOQW9ogN3oRakyd4yk3eZGMREe9fjIcQe+OPejdMTAVTzAYYHOVwT7BNegsTyeM0sgbNYiIiMa7tJqbjY2NB3yNoijo7u7GunXr8MQTT2Dr1q0QBAHf/va30ym5Xxs2bMDDDz8MURTx2GOP4fLLLz/gNU8++aTW2LzyyiuxfPly7Rf7efPm4eKLL8Z5552Hjz76CH/961/xxhtv4KKLLhqyTktLC+666y4AQGlpKdauXQu32619/6tf/SpOOOEE/OhHP0JXVxeWLFmCv/71r5m4bSIiIiIiIgBAQlFQ55exoakb7cEoogkFFqMIq9GAzlAM+ZIRYv/vOwIEnD2lBFaTIWvvJ1jXjO1LnxuSH3fLNXDUuIe5goiI6OgkmkxwVFXCUVWpZaqiINLRNaThGesOjHp9NZmE3OSF3ORFx6DcUlyY2uHpccLuSY22NRfmc6wtEREdNdJqblZVVaX1j+Hs2bNxyy23pFNyWPF4HNdccw0SiQRuvvnmgxr7mkwmtV2kDocDTz755JB7sVgs+MMf/oCpU6dCVVU88MADwzY3H3vsMYTDYQDAAw88oGts7vXDH/4QL774IlavXo233noLW7duxYwZM9K5XSIiIiIiIk1CUbC+sQcf7+lEtxyD2SjAbjbCKALheBLrG3sQSSRgMxngLrDBlWfDCZX5cOVlbzdHMhbDxrt/C2WfHSllC09F5aJzslaXiIhovBBEEbayYtjKilF00mwtj/cGB0ba9p/jGfZ1pDfW1t+FqL8LXRu2aJnRLvWPtHXCPqECktsJm7MUojF7DzwRERFlS9pjaVVVPejXmkwmXHnllXj00UchSVK6JYe4//77sWnTJng8Htx///3w+/0HvOYf//iHNrr2sssuQ35+/rCvmzx5Ms466yysXLkSn332Gerr61FVVaV7zWuvvQYAkCQJV1555X5r/r//9/+wevVq7Ro2N4mIiIiI6FBEE0n8dZMXG1sCKJBMqMy36h7abPOHYDEKMBuMiCVV7GgLIqkAV82fkNX3teN3yxDc1aDLrOUlmHH7j7hbhIiIaASmXAfyZ0xB/owpWqbE4pBbWhFqSO3ylBu9CDX5oMRio14/EZIR2L4Lge27tEwwGiFVlEFyu+CYUAHJ40yNtbVZM3JPRERE2ZJWc/MXv/jFAV9jMBiQk5ODmpoanH766SgsLEyn1H5t2rQJDzzwAADgmWeegcPhOKjm5qpVq7S/n3322SO+duHChVi5ciWAVFN0cHOzsbER9fX1AIBTTz0VVuv+/9FfuHDhsPWJiIiIiIhGK6Eo+OsmLza19KIy3waDqG8adoZi6JJTH3oKggCLUYDFKCKeVPHO1lZcdLwLRlHM+Ptq++hTNL3+rj4URcz+5U9hyrFnvB4REdHRTjSb4Kh2w1E9MC1OVRRE2jsHmp39f+KBvlGvryYSCDW0INTQgo7V67TcWloEye2C3bP3HE8XzAW5fFCJiIjGjKw1N7MpkUjg2muvRTwex5VXXonzzz//oK/dunWr9vfp06eP+NrB3x983WjXcbvdcDgcCAaDQ9YhIiIiIiIajfWNPdjYEhi2sRlNKGjslodcM6HQjgLJhC+ae+ApkHByVWYfPg23+bHlgaeG5JN/eDkKZk3NaC0iIqJjmSCKsJWXwFZeAsw/Xstjgb7+ZqcPocYWyE0+hFs7gFFM39sr0t6JSHsnutZv1jKjw55qdg46y9NWXgzBwLG2RER0+KU9lvZI+s1vfoP169ejuLgYjz322KiubWxs1P7u8XhGfO3gMzQHXzfadfautX37drS1tSEWi8FsNh/sWyYiIiIiIgKQ2rX58Z5OFEimIY1Tj50cAAAgAElEQVRNVQXqOkNQFP2HmPmSGUV2MwQBKJBM+HhPJ0705Gds96aSTGLzPY8j0RvU5YXzZqH6e9/MSA0iIiIamTkvB+ZZU5E/6KGiZCQKubkVoSYf5IaW1NcmH5R4fNTrJ4IhBLbVIrCtVstEoxFSZTmkCRWwu52pXZ6VThislozcExER0f6Mu+bm9u3b8ctf/hIA8Nhjj6G4uHhU1/f1DYxocDgcI742Jydn2OtGu85waxUVFQ15zdKlS7F06VLtv2VZxnvvvXfAtYlILxKJ8GeHKA382SEaPf7c0OHWGga2dogoNAHt+0yG644J6NnnCC6jCOREVezuSf23qgJdceCl3j0ot2XmPUX+dzWiq9bqMsFug7JgJv7+f/83/DXj4GdHTSShJJMQvD1H+q0QaWLJJNZ664702yAaV475nxsJwNSy1B+kxtqq/h4oLR1QvB1IelNf1VB49GvHY+ir3QPU7tHFYnE+RFcJRFcJDP1fhRyJY23HmWP+Z4coTfzZyYCDGDowrpqbiqLgmmuuQTQaxfnnn48rr7xy1GuEwwP/UB9o96TFMvCU0eDrRrvOgdbaa8mSJViyZIn23yUlJTjvvPMOuDYR6b333nv82SFKA392iEaPPzd0uP33+iZUWftQlmPV5cFoAoH2IAp1o+cETC51INeq/7WvrS8Ca0kOzjvRjUPV8cnn2PDpdlhzc3X53KV3oeTUE/Z73Xj42emtrUOovgWWooIj/VaINGu9dTjZVX2k3wbRuMKfm2FUApgz8J+qqiIe6BtyjmekzZ/e+gEZCDQA2xu0yJjr6D/HMzXSVvI4YSsvgZCFc8ApM/izQ5Qe/uwcOiWRPOBrRmxuLlu2LGNvZrCrrroqreuWLl2KtWvXwuFw4JlnnklrDZtt4PHkWCwGq9W639dGo9FhrxtunQMZaS0iIiIiIqKD0R6Mwm7W/xqXUFTUdYaGnKlVlmsZ0tgEAMlkRHswOiQfrXCbH5vv+d2QvOqKRSM2NomIiGhsEQQB5vxcmPNzUTD7OC1PjbX1IdTg1Ubbys2tUBKJUdeI9wYR2LoTga07tUw0mSBVlvef45lqfHKsLRERHYwRm5tXX311xscFCIKQVnOztrYWd999NwDggQceOKhzLoczeDxsMBgcsbkZDA6cGTP4uuHWOZCR1iIiIiIiIjoY0YQC46ANDqoKNHbJiCUU3esksxGuvOEfqjSIqXUOhZJIYOPPf4t4r/74jrxZUzH5+isOaW0iIiIaGwxWC3ImVSFnUpWWqckkwq1+hBpbIDf6Urs8G1qQCMmjXl+JxxGsa0KwrmkgFARYS4tSDU93apen3eOEKT+XY22JiEhzwLG0qnoQw20Pg0ceeQThcBhFRUUoKirCX/7ylyGv6ejo0P7e3t6uvaayshJnnHEGAMDj8WDNmjUAgMbGxhHP7GxsbNT+vm8zdfB/D37dgdYqKys7qDG2RERERERE+7IYRcSTA43JzlAM3bJ+kowoCKgukiDu5/O/pJJa51DUPv0yApt36DJTbg7m/GoJROO4Ov2EiIiIRkEwGCBVlEGqKANOTWWqqiLW3Qu5sQWh/oan3ORFpL1z9AVUFZE2PyJtfnSu26TFphxHqtk5wdU/3tYFW3kxBIMhQ3dGRETjyYi/da5YsWK/34vH4/j5z3+OtWvXoqioCJdddhlOPvlklJeXQ1VVtLe3Y+3atXjllVfg9/tx8skn41e/+hWMaf6iu3esa2dn50Gdtbl9+3ZcfvnlAIBvfvObWnNzxowZ2mu2bduGuXPn7neNbdu2aX8ffN1w64ykqalJ27m57zpEREREREQHq9Rhwc6OPjgsRkTiSTR1D90l4S6QYDXt/4M+OZ5AZX7602Ta/7EO9S+/NSSfdc/NsJYWpb0uERERjU+CIMBSmAdLYR4K5kzX8kQ4Arlp7+7OVMNTbmmDms5Y274gAttqEdhWq2Wi0Qipsjw10tbtgjTBBbubY22JiI4FI3YazzrrrP1+71vf+hY+/fRTXHnllXjqqaeGHbX6/e9/Hw899BBuuOEGvPTSS3jyySfxxhtvHPq7PgQLFizQ/r5ixQp873vf2+9rBzd3zzzzTN33PB4PqqqqUF9fjzVr1iASiex3xO3gdQbXJyIiIiIiGo257gJs8fUiqSio65Sh7DNpp0Ayo8i+/0kxqqoimlAw112QVn3Z247N9z05JK9ZfDHP2SQiIiIdo82K3CnVyJ1SrWVKIomwrz3V9Gxo0ZqfaY21TSQQrG9GsL5Zl1tLiyF5nLB7Us1OyVMBcwHH2hIRHU3S2kb54osv4q233sKZZ56J5cuXj/hah8OBZcuWob6+Hm+99RaWL1+O73//+6Ou+fzzz+P5558f8TX19fWork79Y3nWWWdh5cqVQ15z5plnoqysDG1tbXj11VexdOlS5OXlDXldbW2tdv28efNQVVU15DWXXnopHnnkEYRCIbz00ku47rrrhn1ff/jDH3TXEBERERERpaO6WEKBZMauDhlyTL/rwWw0wFMoYaTP7fqiCRRKFlQXS6OurcTj2PgfjyLRF9LlBXOmY+K/fmfU6xEREdGxRzQaYHc7YXc7UXJaaqJeRsfaAoi0+xFp96Prs81aZrRLsE+o6D/HMzXW1lpeAtHIsbZERONRWs3NP/3pTxAEATfddNNBX/PjH/8Yq1evxp/+9Ke0mpuZYjAYcOutt+JnP/sZ+vr6cOONN2L58uW6J3ei0Sh+8IMfaOeN3nnnncOu9dOf/hS///3vEQ6Hceedd+K8885DZWWl7jXPPvssVq9eDQBYtGgRx9ISEREREVHajKKIySV2rK3vRK7VCHHv7zH952wa93fQJoCkoqJbjmPRLBeM4ujP3NzxxHL0bt+ty8wFeTj+vlsg8rwrIiIiStOBxtrKjT6EGlO7POXmVihpjLVNhORhx9raKsv7d3e6tK9G2/DT+YiIaOxIq7m5detWAMCkSZMO+pq9r9177ZF000034S9/+QvWrVuHl156CW1tbbjppptQWVmJ2tpaPProo/jss88ApM7rvOiii4Zdp6KiAvfffz+WLFmC9vZ2zJ8/H3feeSfmz5+PYDCIV199Fc8++ywAoLCwEEuXLj1s90hEREREREcfOZZAlxxDea4Vbb0R5PQ3OJ25Vjgs+//1LqmoaOmJYE5lPk705I+6buuHn6Dx1f/Vh4KA2ff+BJbi9EbcEhEREY1kuLG2ajKJcKs/1ezs3+UZavQiEQyNsNLwlEQCofpmhPYZa2spKYTdUwG7xwnJ7YJ9ggvmgjyOtSUiGkPSam4GAgEAgN/vP+hrOjtTYwT6+vrSKZlRZrMZb7/9NhYtWoS1a9fi/fffx/vvvz/kdRdeeCFefvnlEde65ZZb0NPTg1/96lfw+Xz48Y9/POQ1LpcLr7/+OiZOnJixeyAiIiIiomOLqqpYWetHNKFgapkDANDaG0GR3YzyHMt+r+mLJtAtxzGnMh+LZjlHvWsz1OjFlgeeGpJPvPbbKDpp9uhvhIiIiChNgsEAqaIMUkUZcGoq08baNnn7R9qmmp6RtoP/7HqwaEcXoh1d6FqvH2s7eKSt5HHB5izlWFsioiMkreZmZWUl9uzZg//+7//Gueeee1DX/OUvfwGQ2u04FpSWluLjjz/GCy+8gJdffhlbtmxBd3c3iouLceKJJ2Lx4sW45JJLDmqte++9F9/4xjfw9NNPY8WKFfD5fLBarZg4cSIuuugi3HjjjcjPH/3T0URERERERHtt9vaiuUcGkBpPO608B8UOCywGES2BCMxGAZLJCIMIJBVAjicQS6gokMxYNMuFEz35o25sJuQwPr/9YSRDYV1eOG8WJl57acbujYiIiChdurG2x0/T8mQkCrnZh1CDF6EmH+SGlkMaa9v75W70fjkwol8wGiG5SiH17/K0e1yQKp0w2m0ZuS8iItq/tJqb559/Pp588kk8//zzOOOMM3D11VeP+Prly5dr53Sef/756ZQ8KFVVVdo5mQfDYDDg2muvxbXXXnvItefNm4fnnnvukNchIiIiIiLalz8YxacNXbpMFAR87yQP3AU21PllbGjqRnswimhCgcUoojI/B3PdBagultI6Y1NVVWx98BmE6pp0ubmoALPv/QmENNYkIiIiOlwMVgtyJlUhZ1KVlqnJJMJtfu0cz1CjD3KjF/G+4KjXVxMJbSxux6DcUlw4cI5n/x9zUT7H2hIRZVBazc3bbrsNL7zwAoLBIK677jr8z//8D6677jqccsopKC0tBQC0t7djzZo1eO655/DOO+9AVVXk5OTgtttuy+gNEBERERERHc3iSQUf7uyAss+DnMeV5aK6yA4AmFzqwORSR0brNrzyv2h9/2NdJhgMmHP/ElgKOZmGiIiIxh/BYIDkKoPkKkPxKXMApB7oigf6UiNtG70I9Tc+I+2dwCg20uwV9Xch6u9C1+dbtcwg2WDvP79TqnTCPsEFm6sUojGtj+eJiI55af2vZ0VFBV577TV861vfQjgcxjvvvIN33nlnv69XVRVWqxWvvvrqmBlLS0RERERENB78s64TPeGYLsu3mXFadWHWanZ9sQ07n1g2JJ9681W6cW9ERERE450gCDDn58Kcn4uC2cdpeWqsbas20jbU5IPc5IMSj4+6RlIOo3fHbvTuGDTW1mCAzVUGu8cJqb/xaXc7YbRLGbkvIqKjWdqPhpx77rlYt24dfvSjH2H16tUjvvb000/H008/jZkzZ6ZbjoiIiIiI6Jiz2x/EjrY+XSYKAhZOKYHRkJ2xsFF/NzbetRRqMqnLnV87A55vX5CVmkRERERjTWqs7QTkTJqgZaqiINLm18bRyo0+hJq8iAf6RlhpeGoyCbnJC7nJC2C9lluKCiC5+8/w7B9rayku4FhbIqJBDmnf+/Tp07Fq1Sps2rQJ7777LjZt2oTOzk4AQFFREWbPno3zzjsPxx9/fEbeLBERERER0bGiLxLHP3b7h+SnVBWi2GHJSk0lkcAX//EoYl09utxR48b023/ED9WIiIjomCaIImzOUticpSg+eY6WxwJ9upG2cpMP4daO9MbadnYj2tmN7i+2aZnBZk01O/ubnnZP/1hbkykj90VENN5kZKj37NmzMXv27EwsRUREREREdMxTVBUrajsQSyi63FMgYYYzN2t1dz75Ino2fqnLDHYb5jz47zDarFmrS0RERDSemfNyYJ41FfmzpmpZMhKF3NIGuSnV9JQbvQg1+aDEYiOsNLxkOILeHXvQu2OPlgmiCJurdNBIWxckjxMmhz0j90RENJbxxGIiIiIiIqIxZkNTD1p7I7rMZjLirEklWds96fv7ajT899tD8tm/uBl2jysrNYmIiIiOVgarBTkTPciZ6NEyVVEQae/sH2nr7R9v60M80Dvq9VVFgdzcCrm5Ff5PNmi5uTA/tbvT7dSPtRWzc6QBEdGRwOYmERERERHRGOILhPF5U8+Q/OzJxbCZDVmp2be7EVsefHpIXrP4YpSeeVJWahIREREdawRRhK28BLbyEmD+wFFusUAf5CZfqunZ/zXs6wBUZYTVhhfr6kGsq0c/1tZqSe3w9Ayc5SlVlHGsLRGNW2xuEhERERERjRGReBIrajugQn8+0/EV+agskLJSM94bxBe3/wZKJKrLi06ajUk/+G5WahIRERHRAHNeDsx5OcifOUXLlFgccksrQg1ehJq8kBu8CDX7oETTGGsbiaKvtg59tXUDoSDC5iwZOMuzf6enOS8nE7dERJRVIzY3a2pqAACCIGD37t1D8nTsuxYREREREREBqqriH7v9CEYTurzYYcE8T0F2aioKNv3iccjNrbrcWlaM2b/8KceXERERER0hotkER7Ubjmq3lqmKgkhHl26krdzkRaw7MPoCqoKwtw1hbxuw5nMtNuU6IFU6Ec2zoGNmNyS3EzZnKURjdiaIEBGlY8TmZn19PQAMOdNlb56ObJ0PQ0RERERENJ592daHus6QLjMZRCycUgqDmJ3fo3Y+9RL8gz7MAlIfpM158N9gzs/NSk0iIiIiSo8girCVFcNWVoyik2Zrebw3iFCTb1DTM/2xtvHeIALbahGLx7Drky2pukYjJFdpapxtpVMbb2u0Z2eyCBHRgYzY3FywYMGwzcj95URERERERDR63XIMn9R1DclPqy5Cvi07ZyH5/r4a9S/9dUg+/d9/gLxpk7JSk4iIiIgyz5TrQP6MycifMVnLlHgcckvbkF2eyX2OIjgYaiKhNU0HMxfkaWd5pkbbumAtK+L0DyLKuhGbmytXrhxVTkRERERERKOTUBR8uLMDCUX/ZP2kYgemlDqyUrN3Rx22PPDUkNzz7QtQceHZWalJRERERIePaDLBUVUJR1WllqmKgqi/W2tUyv27PaNdPWnViHUHEOsOoGfT9oG6ZjOkijJIHhfslU5IE1ywu50wWC2HfE9ERHuN2NwkIiIiIiKi7Pq0oRudIf0T9A6LCadPLMrKxJxoVw8+v+3XUKIxXV44dyam3nxVxusRERER0dggiCKspUWwlhahaN4sLU+EZMjNrQM7PJt9CNU1pFVDicUQrGtCsK5Jl1tKCmF3u1I7PD1OSG4XLMUFnBBJRGlhc5OIiIiIiOgIaeyWscUb0GWCIOCrU0tgMRoyXk9JJLDxrqWItPl1uc1ZiuPvXwLRyF8RiYiIiI41RruE3Kk1yJ1ao2VrmnZjtuiA3ORDqLEFclMrQk1exAN9adWIdnQh2tGFrg1btMxgtQ40OytT53jaKspgsJgP+Z6I6OiW1m+uTz31FC6//HIUFBRk+v0QEREREREdE0KxBD6q7RiSn+jOR1mONSs1v3zseXR/sU2XiVYL5jz07zDn52alJhERERGNP4JBhOQqg1RRhuJT5mh5LNAHudkHudGHUFPqHM+wtx3qPkcsHIxkJIK+2jr01dYNKizCWlYEuyc1zlbq3+1pLsjlLk8i0qTV3LzpppuwZMkSXHjhhVi8eDEuuOACGAyZf6qYiIiIiIjoaKSqKj6q7UA4ntTlzjwb5lTmZ6Vm81sfoOn1d4fkM++6AblTqrNSk4iIiIiOLua8HJjzcpA/Y4qWKfE4wr6OgXM8m3wINXqRCMmjL6AqiLR2INLagc5PN2qx0S7B7kk1OlO7PV2wuUo5eYToGJX2T34sFsMbb7yBN954A8XFxbjiiitw1VVX4YQTTsjk+yMiIiIiIjrqbPL2orknrMssRgPOnlwCMQtPpHdv3oFtj/xhSF591UVwnnN6xusRERER0bFDNJlSOy09Li1TVRWx7l7ITd7+pmdqrG2kzQ+o6qhrJEIyAtt3IbB9l5YJogibqxSSu3+XZ/94W3NeTkbui4jGrrSam6+++iqWLVuGd999F/F4HB0dHfjd736H3/3ud5gxYwYWL16MK6+8EuXl5Zl+v0RERERERONaRzCKdQ1dQ/KzJhXDYcn8k+dhXzu+uO03UOMJXV58ygmY/MPLM16PiIiIiEgQBFgK82ApzEPB8dO0PBmNIdzSlmp4NvsQakyNtk1GoqOuoSoK5OZWyM2t8H8ykJvyclPneLqdsPePtbWVF0Pg9Emio0ZavzlfcskluOSSS9DZ2YmXXnoJy5cvx/r16wEAW7duxa233orbb78d5557Lq6++mp885vfhMViyegbJyIiIiIiGm/iSQUf7myHss/T6tPLc1FVZM94vYQcxoZbf41Yd0CXS24nZv/ypxBEMeM1iYiIiIj2x2Axw1HjhqPGrWWqqiLq7x4Ya9voRajJh6h/6AOBByMe6EXP5l70bN6hZaLRCFtlOaRKJ+ye1FhbqdIJo912yPdERIffIT0WXFRUhJtvvhk333wztm/fjueffx4vv/wyWlpakEwm8d577+G9995Dbm4uLrvsMlx11VU4/XSOPCIiIiIiomPTx3s6EQjHdVmBZMYpVYUZr6UqCjb94nEEdzXocoPdhhN+fRtMOZlvphIRERERjZYgCLCWFMJaUoiiE2dqeSIc6W92+hBqTjU95eZWKPH4CKsNT0kkEKpvRqi+GR2DckthPqT+szz3nulpLSnkQ4BEY1zGZh5NmzYNv/71r/HQQw/hgw8+wLJly/DGG28gFAohEAjgj3/8I/74xz+ipqYGtbW1mSpLREREREQ0LuzqCGJne58uM4gCFk4phdGQ+Q9Pap9+GR2rP9OHoojj71sCR3VlxusREREREWWS0WZF7pRq5E6p1jJVURBp60SoKbXLc+9uz30nlRysaFcPol096P5im5aJFjOkivJUw7PSCcldzl2eRGNMxg90EQQB55xzDs455xyEQiG8/vrreOGFF/DRRx9BURTs2bMn0yWJiIiIiIjGtN5IHP/Y7R+Sn1JVhCK7OeP1Wt5ZgboX3xySH/eTxSg59YSM1yMiIiIiOhwEUYTNWQKbswSYf7yWx4Oh1A7PptQZnqFGH8K+dqiJxAirDU+JxhDc04jgnkZdbinMh+ROneUpVZbD7nHBWlrEszyJjoCMNzcHs9vtmD59OqZNm4b169ejt7c3m+WIiIiIiIjGnKSi4sOdHYgnFV0+oVDC9PKcjNfr3rgdWx96Zkhe+a1z4fn2BRmvR0RERER0pJkcduRNn4S86ZO0TEkkEfa1p0bbDtrlGe8LplVD2+W5cbuWDT7LU6osh72/+ckjIIiyKyvNzebmZrz44otYtmwZduzYofue1WrNRkkiIiIiIqIxaUNTN9r7IrpMMhtx1qQSCIKQ0Vqytx2f3/YbqImkLi88cSam/ey6jNcjIiIiIhqrRKMBdrcTdrdTy1RVRTzQ19/obE3t8mzyIezrAFRlhNWGN/gsz8FMebmwe1INz9ROTydszhKIxqzuNyM6ZmTsJ0mWZbz22mtYtmwZVq5cCVVVoaqq9v3TTjsNixcvxne+851MlSQiIiIiIhrTvIEwvmjWn/8jQMDZk0tgNWV2fFUiJOPzf38Q8YD+XE/J7cScB/6NH6QQERER0TFPEASY83Nhzs9FwezjtFyJxyG3tKV2eTa3ajs9EyE5rTrxQC96NveiZ/PA5i/BYIDNVQqp0qnt8JTcTphyHXwIkWiUDvm32w8++ADLli3DG2+8gVAoBABaU7Oqqgrf+973sHjxYkycOPFQSxEREREREY0bkXgSK3Z2QIWqy2dX5KEi35bRWqqiYOPdjyG4p0mXG3PsmPvw7TDlOjJaj4iIiIjoaCKaTHBUVcJRValle3d5yk17z/L0QW72Iexth6qMfpenmkxqI3L9nwzkphyHdo6n1L/T1OYqhWgyZeLWiI5KaTU3t2/fjmXLluGll15CS0sLgIGGpsPhwKWXXorFixfjrLPOytw7JSIiIiIiGidUVcWqXX6EYgldXuKwYJ6nIOP1vnz8Bfj/uUEfiiLm3P8z2CdUZLweEREREdHRbvAuz/xZU7VcSSQQ9nVozc5QY+rrvhNUDla8L4jAtloEttUOKi7C5iwZdI6nC5LbCXNBLnd5EiHN5uaMGTMgCILW0BRFEV/96lexePFiXHzxxbDZMvsUMhERERER0Xiyva0P9V0hXWYyiFg4pRQGMbMfRjS88g4aX3lnSD7tZ9eh6KTZGa1FRERERHSsE43GIWd5AkAs0JcaadvcCrk5tUMz3NIGJZHYz0ojUBWEvW0Ie9vQ+elGLTbapdQOz0qnbpenwWo51NsiGlfSHkurqiqOO+44XHXVVfj+97+Pigo+DUxERERERNQViuGTus4h+Rk1xcizZXa0VPuqT/HlY88Pyd2X/As8F5+X0VpERERERLR/5rwcmPNykD9jspapySTCrX6t2RlqSjU+Y109adVIhGT07tiD3h17BkJBgLW0SGt27m18WooLuMuTjlppNTdvuOEGLF68GCeddFKm3w8REREREdG4lVAUfLizHUlFf87mpBIHJpdm9tzLwPZd2PiLxwFVX6v41Lk47pZrMlqLiIiIiIhGTzAYIFWUQaooA06eo+WJkAy5uXXgLM8mH+SWNiix2OiLqCoibX5E2vzo+myzFhusFkgV5ZA8rv7GZzlsFeUw2qyZuDWiIyqt5uaTTz6Z6fdBREREREQ07q2t70KXrP9AIsdqwhk1xRmtE/a1Y8PPHoQSieprTa7C8b+6BaLBkNF6RERERESUOUa7hNypNcidWqNlqqIg0t6ZGmvb5NMan1F/V1o1kpEo+nY3oG93gy63FBemmp2V/Y3PynJYS4sgiOIh3RPR4ZT2WFoiIiIiIiIaUN8VwlZfry4TBAFfnVIKszFzHxTE+0JY/7MHEesO6HJLSSHmPnIHjJItY7WIiIiIiOjwEEQRtvIS2MpLUDRvlpYnwhGEW1pTI2337vJs9iG5z4OOB+v/s3fn8VHV9/7H32dmkpnsewhkYQ0om7IIqK0KWFB+LdpWrBdv0XK1WLVVsK1e67WtrVXbuqHodQW02otaW5dKrSJoXcsigoCsCYHs+zaZ/fz+iAwMk3WSQJDX8/HIw5nPdz0+PA9z8jnf79ddVSN3VY1qP90WjFmiohSbPUAxOQO/PNOz9Sc6KaHH1wX0BZKbAAAAANBDzR6f3ttdFRY/Iy9FmQn2Xhsn4PVq83//Qc0FB0Li1liHJt17qxyZab02FgAAAIDjzxbjUMKIIUoYMSQYM01T7qraYKLz0CpPV0V12LEVXRHwetVUeFBNhQdD4lGJ8a1neB6R8IwZNEBWe3RPLwvokQ6TmwsXLpTU+rbxU089FRaPxNF9AQAAAMCJzDRNrdtVKZfPHxIflBSj07KTenWcbXc/ppqNn4cWWCw6/c6blJA/pNfGAgAAANB/GYYhR0aqHBmpSp04Jhj3u9xqKa1Qc9HhFZ7Og2XyNTsjGsfb0KT67btVv333kYPLkZkWlvRka1scSx0mN1esWCHDMCQpJCF5ZDwSJDcBAAAAfFV8Vlyv4vqWkJjDZtX0kRk9em462r7lL6nkjXVh8VsrGuUAACAASURBVNE/v1rp0yb02jgAAAAATkxWh13xQ3MVPzQ3GDNNU57ahsOrPItK5DxYppbSSskMdH8Q05SrvEqu8irVbNwaDLO1LY6lTrelNdtZwtxeHAAAAABOFhWNbq0vqg2Ln5Ofrrjo3jsFpGT1u9rzxKqw+NDvf1u5F32j18YBAAAA8NViGIbsqUmypyYp5bRTgvGA16uWkorWLW0Pln35UypvfWNE47C1LY6lDp+2A4G2s/btxQEAAADgZOHxBbRmV0XYi59jBiZqSGpcr41TvX6LPv/dI2HxrPPPVv41/9Fr4wAAAAA4eViiohQ3OFtxg7ND4t7G5uB2tsGf4jIF3J6IxmFrW/SF3nuVGAAAAABOIu/vq1KjyxsSS4mN1tTBqb02RsPOAn16y+9lHnWeZ/L4URr7P9fx4A8AAACgV0UlxCnp1BFKOnVEMGYGAnJX1YYlPVvKqtjaFscFyU0AAAAAaIMvEFBBlVObDtSqosktty8gu82izHi70uPs2l3VKMsRZ2paLYZmjsyUzdo7CUdncbk2Lv6t/E5XSDw2J0sT7rlZ1mi2cQIAAADQ9wyLRY7MNDky05Q6cWwwHvB45SypCEt6eusbIhqHrW3RVSQ3AQAAAOAIvkBAG4vq9MG+atU6PYq2GYqLtslmkbz+gD4vbdDeqmbZbYZyU2I0KClGFsPQmUPTlBrXOw/X7po6bbzxN/LU1ofEo1OSNOn+2xSdnNgr4wAAAABApCzRUYofkq34IWxti2OL5CYAAAAAfMnt8+uVLSX6rLheKbFRykl2yDhidWbAlA7Utig+2iKP39TO8ibVt/g065QBOnVA72yV5HO2aNNP75LzYFlI3Brr0MR7b1VsTlavjAMAAAAAfYGtbdHXOkxuLly4sNcHNAxDTz31VK/3CwAAAAA94QsE9MqWEm0pblBOcoysFiOsTkl9i5wenwzDkN1mKMpqqLrZo/oWr/ymKZsR3qY7Aj6fNt96rxp27A2JG1arTr/rZ0o6dXiP+gcAAACA46HdrW29XrWUVKj5wDHY2jY7SzHZA1pXe2YPUGxOlqwOe4+uC8dHh8nNFStWhLyl3FtIbgIAAADobzYW1emz4vp2E5sNLp/KG9whMYth0fhBCdpW1qCNRXWaOiQ14vFN09Tndz6i6k82h5WNve06pU85LeK+AQAAAKA/skRFKW5wtuIGt7G1bXGZnEcmPXu6tW3DHtXv2BMSt6elKCY7S7E5AxSb/eV5ngMzZImKivia0Pc63ZbWNM0Oyw3D6JU6AAAAAHC8+AIBfbCvWimxUW0mNn1+U4XVzZJCn2uyEu1Kjo2SxSJ9sK9ak/KSZYvwfJfdjzyn0n+8FxYf+eMFGnTBORH1CQAAAAAnoqiEOCWdMlxJpxzevebw1rZlIdvbRry1rSR3da3c1bWq27LjcNCwKCYrvXWV55cJz9jsLDkyU2VYrT29NPSCDpObgUD7/zEcOHBAl156qT755BOdf/75uvrqqzV16lRlZbWe/1JeXq5PPvlETzzxhN566y1NnTpVL774onJycnr3CgAAAACghwqqnKp1epST7AgrM02psKZZXn/o81Gc3aaBSTGSpAS7TQfrXCqocio/M77b4xeu+rsK/vS3sPjgy76pofPndrs/AAAAAPiqCd3adkwwfmhrW+fBspDtbSPd2lZmQC2lFWoprVDNhiPO87TZ5BiYGUx2tp7nOUDRqcl9sgsq2tfpys22NDc3a/bs2dq5c6cee+wxXX311WF1cnNzlZubq0suuURPPvmkFi1apFmzZmn9+vWKi4vr8cQBAAAAoLdsOlCraJvR5gNpZZNb9S3ekJjFYmhoWpwOLfI0DEPRNkObDtR2O7lZ+tYH2vnA8rB41je+plE/XtCtvgAAAADgZHPk1rYZR8S9Tc2HV3cGt7Ytl9/limicgM8n54ESOQ+UhMStDnvreZ45WfLEWlQ/1q+Y7AGKTkrowVWhIxElNx966CF98cUXWrBgQZuJzaNdddVVev/99/Xss8/qwQcf1K233hrJsAAAAADQJyqa3IqLDn88cnr8OljXEhYfnBIruy10+9nYKJsqmtxhdTtS+dGn2vrrpWHx1MnjNO5/rpMR4Ra3AAAAAHCyi4pvY2tb05Snpk7Og+WtZ3oeLFNLcZlaSioU8PkiGsfvcqtx73417t0vt9ej7as/ah0/Ib51a9vgSs8BisnOki0mfMcgdE9Eyc0XXnhBhmFo/vz5XW4zf/58PfPMM3rppZdIbgIAAADoV9y+gI7KVcofMFVQ3SzTDD1nMy3OrtS46LA+rJbWfrqq9rMd2vzff5Dp94fEE0YN04R7fi5LVFTXLwAAAAAA0CnDMGRPS5E9LUUpp50SjJt+v1yVNcGVns7iMrUUl/foPE9vY5O8XzSp4Yu9IXF7arJicrIUmz1AsTkDFZuTpZiBGTwDdkNEyc2CggJJUkZGRic1DztUd9++fZEMCQAAAAB9xm6zhJ2peaC2RS5vaOLRHmVVbkpMm334Awpbzdmehl0F2vTTuxRwe0LiMYMGaNK9/y1bbNtjAAAAAAB6n2G1KiYrQzFZGUqbPC4YD3i9aimt/HKVZ3lwpae7ujbisdw1dXLX1KluyxdHTMAix4C0w2d5frni05GZJsNq7cmlfSVFlNz0f/lm8b59+zRhwoQutTmU1AwEIstwAwAAAEBfyYy3a1dlo+LtrY9I1c0eVTeHbjFrGIaGpcXJagk/l1OSnF6fcpI7P1OluahEG274jXxNzpB4dFqKJj/0S9nTUiK8CgAAAABAb7JERSkub5Di8gaFxH0tLrUUl8tZXK6W4tazPJ0HS6XqmsgGMgNylVXKVVapmo1bg2HDZlPMwMwjVnkOUGx2lqLTkmUYbT+bngwiSm6OGDFCn332mZYtW6bvfve7XWqzbNmyYFsAAAAA6E8m5qbo89IGmaYpt89UUa0zrE5Ocoxio9t+Y7a1XUATcztOTLaUV2nDT+6Qt64hJG5LjNcZS29X7KDMyC8CAAAAAHBM2GIcShgxWAkjBofEP9q1TaP99takZ3CL23L5Xa6IxjF9PjkPlMh5oETSp8G41WFXTPaXKzyzs1rP9sweoKikhJMi6RlRcnPevHnavHmz3n33XS1cuFAPP/ywYmNj26zb0tKiH//4x1q3bp0Mw9Cll17aowkDAAAAQG8bmh6rlNhoNbh8Kql3KRAIPWczKSZKGfH2dts3un1KjbVraHrbz0WS5Kmt14af3CFXeVVI3Brr0OT7f6H4Ybk9uwgAAAAAwHFliY9V0qChSjr18EI/0zTlqa0/fJ7nl1vbtpRUKODzRTSO3+VW0979atq7PyRui4tVzKABih2UqdicgYrJzlTMoAGKTup8l6ETSUTJzcWLF2vFihXavXu3Vq5cqdWrV+uyyy7TtGnTlJmZKcMwVF5ero8//lirVq1SeXm5pNZVmzfeeGOvXgAAAAAA9JTNYtHZw9L09EeFCpgBWY540zXKatGQ1Di19/KrP2Cq1unV3HGDZLO0feamt6lZGxbfKWdRSUjcEh2lCffcrKTR+b11KQAAAACAfsQwDNlTk2VPTVbK+FOCcTMQkKui+svVnWWt29weLFNLWZVkRnbEo6/ZqcbdBWrcXRASt8XHKTZ7QOsKz0Gt53nGDBqgqIS4Hl3b8RJRctPhcOitt97SrFmztGvXLpWXl2vp0qVaunRpWF3TbH3jOT8/X//85z/lcDh6NmMAAAAA6AOZCXY5oiwqb/AowWH7MsFpaGhanGzWtjOb/oCp4jqXTs9J1qS85LbruD369Gf3qHHnvtACi0Wn/Wax0iaP6+UrAQAAAAD0d4bFopisDMVkZYQ8Fwa8XrWUVspZXCbnwcNnerqrIjzPU5KvqVkNO/ep4ajn0qjE+NaVntkDWre5HZSp2Jws2eLa35WoP4gouSlJeXl52rx5s373u9/pscceU2VlZZv10tPTtWjRIt16662KiYmJeKIAAAAA0FeaPT79a0+VRg2IlySVNbgUE2XV4NRYJTjCH5tM01Sj26dap1en5yRr7riBba7aDPh82nzrH1W7eXtY2dhfXKvMc6b0/sUAAAAAAE5YlqgoxeUNUlzeoJC43+UOnuF5KOHpPFgqb0NTxGN5G5rkbWhSwxd7Q+JRSQmK/fJMz5hBAxSb0/pPW2z/yPNFnNyUWldw3nHHHbr99tu1adMmbdmyRdXV1ZKktLQ0jR8/XhMnTpTN1qNhAAAAAKDPBExTa3dVyuXzy2ax6NSsBCXF2FTj9MofkMobXYqNsslqkfwByen1yeMzlRIbrbnjBmlSXnLbiU2/X1t++aCqPtwUVnbKkoXKnnPeMbg6AAAAAMBXgdVhV8KIwUoYMTgk7m1sVktJ65a2zpLy4Pa2vmZnxGN56xtVX9+o+u27Q+LRKUnBlZ6HEp8x2QNkizm2u7b2StbRZrNpypQpmjKFt44BAAAAnFg2H6xTSX1L8LvFMDQ8PUE3jR+kika3Nh2oVUWTW25fQHabRTnJCZqYm6Kh6bHtnrFpBgL6/LfLVP7OR2Flw6+6VIPnzemz6wEAAAAAnDyiEuIUNWqYEkcNC8ZM05S3oak10VlSrpaDZXKWVKilpLxHSU9Pbb08tfWq37YrJB6dmnx4lWf2l2d6DsyU1WGPeKyOsKQSAAAAwEmrrMGljUV1YfFz89OVFBOlpJgo5WfGd6tPMxDQtnseU+k/3gsrG/y9b2r4wnkRzxcAAAAAgM4YhqHopARFJyUoafSIYNw0TXnrG7/c2vbIxGe5/C2uiMfz1NTJU1Onuq07Q+L29NQvE56Zis3OUkz2gNakpz064rEkkpsAAAAATlIur1/v7KqQKTMkPnZQkoakxkXUp2ma2nHf0yp+dU1YWfbcmRr1kwUyDCOivgEAAAAA6AnDMBSdnKjo5EQlj8kPxk3TlKe2oXV72+IyOQ+Wq6Wk9cfvckc8nruqRu6qGtVt2XHkJGRPT2lNdh65xe3ATFmio7rUb4+Tm6ZpaseOHdq7d68aGhrk9/s7bbNgwYKIxnK5XFq9erU2bNigjRs3av/+/aqqqlJdXZ1iY2OVk5OjadOm6T//8z81ffr0LvW5Zs0aPfnkk/rwww9VXl6uxMREjRw5UvPmzdOiRYvkcHRtn+Di4mItW7ZMr7/+uvbv3y+/36+cnBzNnj1b1157rUaNGhXRNQMAAADofaZp6r09VWpy+0Li6XF2TRmcEnGfO5eu1IG//COsbOAF52jMzYtktLONLQAAAAAAx4thGLKnJsmemqTksSODcdM05ampC1/pWVqhgNsT2WCmKXdljdyVNardvP2ISVjkyEhVzKDMTruIOLnp8/l0zz336OGHH1ZFRUWX2xmGEXFyc8+ePfrOd77TZllDQ4O2b9+u7du36+mnn9a3vvUtPffcc0pISGizfiAQ0KJFi/Tkk0+GxCsrK1VZWakPPvhAjz76qF577TXl5+e32cchr732mhYsWKC6utDtrHbu3KmdO3fq8ccf19KlS3X11Vd342oBAAAA9JXtZY0qrGkOiUVZLZoxKrPdczQ7s+exP2v//70eFh8w8yyNve06EpsAAAAAgBOKYRiyp6XInpailPGnBONmICB3dd2XKz2PSHwWlyvg9UY2mBmQq6JKLeVVnVaNKLnp8/k0Z84crVmzRqZpdt6gF2VmZurcc8/VpEmTNGTIEGVlZSk+Pl6lpaXatGmTnnjiCR08eFCvvfaaLrroIq1Zs6bNbZ8WL14cTGzm5+fr5ptv1vjx41VVVaXly5frxRdf1M6dO3XBBRdo/fr1Sk1NbXM+H330kebNmye3263o6GgtXrxYc+bMkc1m07p163TPPfeooaFBixYtUlpaWrvJWQAAAADHRlWTWx8XVofFzx6WpuSYrm2Bc7S9y1/SvpUvh8Uzvn6Gxv/qJ7JYrRH1CwAAAABAf2NYWldZOjJSlXLaqcG4GQjIXVX7ZcKzTM7i1uSnq7RCAZ+vgx67J6Lk5qOPPqq3335bkpSenq4f/OAHmjJlilJTU2Xpw7eRTz31VJWVlbV7Rs03v/lNLVmyRDNmzND69eu1du1arV69WnPmzAmpt3HjRj300EPBPj/88EMlJycHyy+88ELdcsstuueee7Rv3z79+te/1oMPPhg2XiAQ0LXXXiu32y3DMPTKK6/oggsuCJafddZZmjNnjs4880y5XC5df/31mj17tuLiIju/BwAAAEDPeP0BvbOrUv5A6Eua+RkJGpnZ9q4vnSn409+05/H/C4unT5ug0367WBZbj08DAQAAAACg3zMsFjky0+TITJMmjA7GzUBArorq8JWepZUyI0h6RvSU/dxzz0lqXfH4/vvvKyMjI5Juus3ahbed4+PjtXjxYs2fP1+StHbt2rDk5t133x1ccfrQQw+FJDYP+e1vf6tVq1apsLBQ//u//6tf/epXSkkJPXtn9erV2rx5syTp8ssvD0lsHnL66afrpptu0p133qnS0lKtWLFC1113XdcuGAAAAECv+nBftepaQs8FSYqJ0teGp0XU3/4X39CuZX8Ki6dOHqfT7/6ZrNHREfULAAAAAMBXhWGxKCYrQzFZGUqdODYYN/1+uSpq5CwuCyY+nQfLpJqO+4tomeWOHTtkGIZuu+22Y5bY7I7ExMTgZ5fLFVLmdDr1xhtvSJKGDRummTNnttmHzWbTlVdeKUnyeDx69dVXw+q8+OKLwc8//OEP253PkWdtvvTSS51fAAAAAIBet6eySTsrGkNiFsPQzJGZirJ2/9Go6KXV+uK+p8PiKaefqgm/v1lWO4lNAAAAAADaY1itihmYobTJ45Qz93yN/NHlGv/rGzttF1Fy0+/3S5LGjh3bSc3j409/Ovzm9OjRo0PKNmzYIKfTKUmaPn16h/3MmDEj+Pm9994LKz8Ui4mJ0dSpU9vtZ/DgwRo2bJgk6cMPP5SvF/cVBgAAANC5+hav/rW3Kiw+bUiq0uPt3e6v6KXV2nHvU2HxpLEjNfHeW2WLcUQ0TwAAAAAA0LGIkpuDBw+WJDU3N/fqZCLl8/lUXFwcPF/z//6v9bybAQMG6PLLLw+pu23btuDnoxOfRzuy/Mh2UusK0MLCQknSiBEjFN3JdlOH+vJ4PNqzZ0/HFwQAAACg1/gDptbsqpDXHwiJD06N1ZiBie20at/+F/7eZmIzYdQwTbrvF7LFxkQ8VwAAAAAA0LGIkpsXXXSRJGndunW9OZdu+eKLL2QYhgzDUFRUlHJycjRnzhytXr1akpSdna3XXnstZItaSSoqKgp+zsvL63CMtLQ0xcbGhrWTpAMHDgTP7eysH0nKzc1tcw4AAAAA+ta/99eoqskdEouLtuncERkyDKNbfRWu+ru+uH95WDxh5FCdsfR2RSXE9WiuAAAAAACgY7ZIGi1evFjLly/XAw88oCuuuCIkcXe82Ww23X777frJT36ipKSksPLGxsNn7MTHx3faX3x8vJxOZ0i7SPpJSEhos+2R7rvvPt13333B706nU2+++WanfQMI5XK5uHeACHDvAN3HfdP/Vbmlz2pD3+k0DGlCSkDvvrOjW325390o1yvrwuLW7EyZF39N73z0QU+melI5Ee4d0+dXwO+XUVJ3vKcCBHn8fn1SUnC8pwGcULhvgMhw7wCR4d7pBWbnVSJKbmZkZOjVV1/Vt771LX3ta1/TQw89pLlz50bSVcSGDRumrVu3SmrdlraiokLvvvuuHn/8cf3mN7/R559/rkcffVSpqakh7VpaWoKfO9tKVpLsdntYu57001ZfhyxZskRLliwJfs/IyNDs2bM77RtAqDfffJN7B4gA9w7Qfdw3/Vuzx6e/fFqsEWn+kPik3BRNykvpVl+Ff35NO9dukv2onWESTxmmyQ/erqjEzl94xGEnwr3TsLtAzYXFsqd1778VoC99UlKgqYOGHu9pACcU7hsgMtw7QGS4d3ou4PN3Wiei5OaMGTMkScnJydq1a5e+/e1vKykpSSNHjgxu49oewzC0Zs2aSIYNER0drbFjx4bEZs2apRtvvFHf+MY39MILL2jDhg364IMPlJWVFawTE3P4/BuPx9PpOG63O6xdT/ppqy8AAAAAvStgmlq7q1Kuox6KshIdmpCb3K2+Cp5/VbseeiYsnnjqcE1+4H9IbAIAAAAAcAxFlNxct25d8GwawzBkmqbq6uq0fv36DtuZptntM226KyMjQ88++6zGjx+vffv26ec//7meeebwHyKO3B62qamp0/4O1TmyXU/6aasvAAAAAL1r88E6ldSH7phit1k1Y2SmLN14Jil47hXtevjZsHjiqcNbV2xyxiYAAAAAAMdURMnNvLy8Pk9S9sS4ceOUn5+v3bt36+WXX9bTTz8tm631UvPy8oL1ioqKOuynurpaTqczrJ0k5ebmBhO7nfVz9FhH9wUAAACg95Q1uLTxQPg5iefmpyve3vVHoII//U27lv0pLE5iEwAAAACA4yei5GZhYWEvT6P3paena/fu3WpublZlZaUGDhwoSRozZkywzvbt2zvs48jyI9tJUmxsrIYMGaKCggLt2bNHXq9XUVFRnfYVHR2tESNGdPt6AAAAAHTO5fXrnV0VMk0zJD5mYJKGpHYtGWmapvY+9aL2PvVCWFni6BGa/OD/KCqexCYAAAAAAMeD5XhPoK8UFxcHPx+5DezkyZOD54KuXbu2wz6OLD/nnHPCyg/FWlpa9PHHH7fbT1FRkfbt2ydJOuuss4KrSAEAAAD0HtM09d6eKjW5fSHx9Di7pg5J6XIfux5+ts3EZtKYfBKbAAAAAAAcZ1/J5OZHH30U3AZ26NChio+PD5bFxsZqzpw5kqR9+/ZpzZo1bfbh8/m0fPlySa2rLefOnRtWZ968ecHPjz/+eLvzeeKJJ4KfL7nkkm5cCQAAAICu2l7WqMKa5pBYlNWiGaMyZbN0/uhjBgLa8ccnVfj8q2FlSWNHatIDt5HYBAAAAADgODuhkpsrV65UQ0NDh3UKCgq0YMGC4PeFCxeG1bnllluCZ4b++Mc/Vn19fVid22+/Pbj97jXXXKOUlPA3vS+88EKddtppkqTnnntOb775ZlidzZs3649//KMkaeDAgbryyis7nD8AAACA7qtqcuvjwuqw+NnD0pQc0/7xEYeYgYA+/92jOvBy+O/0KRPGsGITAAAAAIB+4oTaH/X+++/X9ddfr7lz5+rrX/+6TjnlFCUnJ8vj8Wj//v1as2aNnn32WTmdTknSGWecoZ/97Gdh/UyaNEk//vGPtXTpUu3YsUNTpkzRLbfconHjxqmqqkpPP/20XnzxRUmtKz9vv/32NudjsVj06KOPavr06XK73Zo7d66WLFmiOXPmyGazad26dbr77rvlcrlkGIYefvhhxcXxBxEAAACgN3n9Ab2zq1L+QOg5m/kZCRqZmdBOq8MCPp+2/vohlb39QVhZ+rQJOv2un8rqsPfafAEAAAAAQOQ6TG7OmDFDkmQYRsj2rYfikTi6r+5qamrS888/r+eff77DepdffrkeeeQR2e1t/xHi/vvvl9Pp1JNPPqldu3a1ucJz1KhReu2115SWltbuOGeeeaZeeOEFLViwQPX19br77rt19913h9RxOBx68MEH9Z3vfKcLVwgAAACgOz7cV626Fk9ILCkmSmcPa//3+EP8Ho8++8V9qnx/Q1hZ5rlTNf6OG2SNju61uQIAAAAAgJ7pMLm5bt264PatXYl3xjTNiNod8uqrr2rt2rVat26dtm7dqvLyclVWVsowDCUnJ2vkyJE666yzdPnll2vs2LEd9mWxWPTEE0/osssu0xNPPKGPPvpI5eXlSkhI0KhRozRv3jwtWrRIDoej03nNnTtX27Zt08MPP6zXX39d+/fvVyAQUHZ2tmbPnq3rrrtOo0aNivi6AQAAALRtT2WTdlY0hsQshqGZIzMVbev4FA6/y61Pf36PqtdvCSvL+sbXNO7262WxnVCb3QAAAAAA8JXX4ZN6Xl5em8nI9uJ9LS8vT1dccYWuuOKKXutz5syZmjlzZo/7yc7O1l133aW77rqrF2YFAAAAoDP1LV79a29VWHzqkFSlx3e8jayv2alNP71LtZt3hJVlf2uGxtxyjQxLx8lRAAAAAABw7HWY3CwsLOxWHAAAAACOBX/A1JpdFfL6AyHxvJRYjR2Y2GFbT229Ni65Uw1f7Asry7vkQp2y+AckNgEAAAAA6KfYYwkAAADACWf9/hpVNblDYnHRNp2Xn9HhLjMtZZXa8JM75DxQGlY29D8vVv61lx+XXWoAAAAAAEDXkNwEAAAAcEIpqnVqS0l9SMyQoekjM+SIsrbbrqngoDbccIfclTVhZSOu/p6G/eASEpsAAAAAAPRzJDcBAAAAnDCaPT6t21UZFp+Ym6xBSTHttqvfvlsbF/9O3obGsLJRN1ypIZd9s1fnCQAAAAAA+gbJTQAAAAAnhIBpau2uSrl8/pB4VqJDE3KT221XvX6LPr359/K3uEILLBaNu+06Dbrw3L6YLgAAAAAA6AMkNwEAAACcEDYfrFNJfUtIzG6zasbITFna2U62bO3H2vLLB2R6fSFxS3SUTrvzJmV+bXKfzRcAAAAAAPQ+kpsAAAAA+r2yBpc2HqgLi5+bn654e9uPNQdfeVvbfv+4FAiExK1xMZr4h1uUOmFMn8wVAAAAAAD0HZKbAAAAAPo1l9evd3ZVyDTNkPiYgUkakhoXVt80TRU+94p2LftTWFl0SpImPXCbEkcO7bP5AgAAAACAvkNyEwAAAEC/ZZqm3ttbpSZ36Lay6XF2TR2SEl4/ENAXD6xQ0YtvhJXFDMzUpAduU1zeoD6bLwAAAAAA6FskNwEAAAD0W9vLGlVY3RwSi7JaNGNUpmwWS0jc7/Fo66+Wqnztx2H9xA3N1eQH/0eOjNQ+nS8AAAAAAOhbJDcBAAAA9EtVTW59XFgdFj97NNDbswAAIABJREFUWJqSY6JCYt6GJn168z2q3bwjrH7S2JGadO+tikqM77O5AgAAAACAY4PkJgAAAIB+x+sP6J1dlfIHQs/ZzM9I0MjMhJBYS3mVNi6+U80FB8L6ST9zok67c4lsMY4+nS8AAAAAADg2SG4CAAAA6Hc+3FetuhZPSCwpJkpnD0sLiTXuLtTGJb+Tu6omrI/suTM1+uc/lMVq7dO5AgAAAACAY4fkJgAAAIBjzhcIqKDKqU0HalXR5JbbF5DdZlFmvF3p8XbtrmyUxTCC9S2GoZkjMxVtO3zOZvXGz/XpzffI39wS1v/w/7pUw/9rnowj+gAAAAAAACe+DpObCxcu7PUBDcPQU0891ev9AgAAAOj/fIGANhbV6YN91ap1ehRtMxQXbZPN0roV7eelDdpb1Sy7zVBuSowGJcXIYhiaOiRV6fH2YD+lb32grXcslenzhw5gsWjMzYuUM3fmMb4yAAAAAABwLHSY3FyxYkWfvOlMchMAAAA4+bh9fr2ypUSfFdcrJTZKOcmOkOeNgCkdqG1RfLRFHr+pneVNqm/x6fxRmRo7MFGSZJqmCp9/Vbsefjasf4vDrtN/u0QZZ086ZtcEAAAAAACOrU63pTVNs8NywzB6pQ4AAACAry5fIKBXtpRoS3GDcpJjZLWEv0RZUtcip8cnwzBktxmKshqqbvao0eWT3zRl8fu1496ndPBvb4W1jUpO1KT7blXSqSOOxeUAAAAAAIDjxNJRYSAQaPdn//79mjp1qkzT1Pnnn69Vq1apsLBQLpdLLpdL+/fv1wsvvKBvfOMbMk1TU6dOVVFRkQKBwLG6NgAAAAD9xMaiOn1WXK/sZEebic36Fq/KG10hMYth0fhBSdpW1qBPdpZp0013tZnYjMnO0tTH7ySxCQAAAADASaDTlZttaW5u1uzZs7Vz50499thjuvrqq8Pq5ObmKjc3V5dccomefPJJLVq0SLNmzdL69esVFxfX44kDAAAAODH4AgF9sK9aKbFRbSY2Pf6ACqudYfGBSQ4lx0Yp0NKivz71d81Yv0XWo+oknjpcE//437KnJvfR7AEAAAAAQH/S4crN9jz00EP64osv9P3vf7/NxObRrrrqKn3/+9/Xzp079eCDD0YyJAAAAIATVEGVU7VOjxLs4e9WmqZUWO2U76gdXuLtNg1MdMhVWaO6f6xTrdunyoTUkDqZ507VlEfuILEJAAAAAMBJJKLk5gsvvCDDMDR//vwut5k/f75M09RLL70UyZAAAAAATlCbDtQq2mbIMMJXbZY2uNTo8obErBaLhqbFqbnwoIr/vk4Bl1s2v18F6QODdYbMn6vTf3eTrA57n88fAAAAAAD0HxFtS1tQUCBJysjI6HKbQ3X37dsXyZAAAAAATlAVTW7FRYc/etQ0e1Ra3xIWH5Iaq+btu1W9fkswZvd51RATL1ksGv2zq5R78aw+nTMAAAAAAOifIlq56ff7JXUvUXmobuCo7aYAAAAAfLW5fQEdfdRmg8unwprwczYz4qLl2bQlJLEpSYYZkN9u16R7/5vEJgAAAAAAJ7GIkpsjRoyQJC1btqzLbQ7VPdQWAAAAwMnBbrMoYB7+7vT4tbeqSaZphtSLsUiWTzaoYWf4S5SWuDjlfeNspU+b0NfTBQAAAAAA/VhEyc158+bJNE29++67WrhwoZzO8DeuD2lpadFVV12ldevWyTAMXXrppRFPFgAAAMCJJzPermaPT5Lk8QW0p7JJgUBoYtPq8cj+0SdylVaEtbenpyjpvGnKye36sRgAAAAAAOCrKaIzNxcvXqwVK1Zo9+7dWrlypVavXq3LLrtM06ZNU2ZmpgzDUHl5uT7++GOtWrVK5eXlklpXbd544429egEAAAAA+reJuSn6vLRBXn9Auyub5PWHHlURaGxS3KefynS7w9rGDc5W5rlTVNzk0cTclGM1ZQAAAAAA0E9FlNx0OBx66623NGvWLO3atUvl5eVaunSpli5dGlb30FZT+fn5+uc//ymHw9GzGQMAAAA4oQxNj1VyrE3byxrlOyKxaUryVFQrads22XyesHbJ40Yp7YxxanT7lBpr19D02GM4awAAAAAA0B9FtC2tJOXl5Wnz5s267bbblJGRIdM02/xJT0/XL37xC23evFmDBw/uzbkDAAAAOAFYDUPx0TZVNbkV+PLlR9M05dxfovgdO2Q/KrFpWC0acM4UpU8Zr4Ap1Tq9OntYmmyWiB9fAAAAAADAV0REKzcPcTgcuuOOO3T77bdr06ZN2rJli6qrqyVJaWlpGj9+vCZOnCibrUfDAAAAADiB/Xt/rUxJWYkOlTe4FGeVnIXFSi4vUazHFVLXGuPQwPPPkiMzTf6AqeI6l07PSdakvOTjM3kAAAAAANCv9ErW0WazacqUKZoyZUpvdAcAAADgK2JbaYM+K66TxTA0akC8fE1OFRWUKaWuRvEuZ0hde1qKBn7jbFljHWpweVXr9Or0nGTNHTeQVZsAAAAAAEBSLyU3AQAAAOBoBdXN+nBfdfB7y76Div1gg071eeWOsqsmLlE2v192n1fxuQOVOPU0VQdMeepcSomN1txxgzQpL5nEJgAAAAAACOqV5Kbb7daGDRtUWloqp9Opiy++WImJib3RNQAAAIATUFmDS+/sqpApU2bAVPW/t6hu2y6lNTfotKJdMg2pMiFVBekDZZ12hmJGj5DdZlVevF0Tc1M0ND2WpCYAAAAAAAjTo+RmRUWFbrvtNv3pT3+S2+0OxidPnqzRo0cHvz/99NNasWKFkpOT9eqrr/ZkSAAAAAD9XJ3Tozd3lMsfMOVrcan8nY/VUlapBJdT4w7ulkWmZEqDPE2afdUFypo+7XhPGQAAAAAAnCAiTm5u375ds2bNUmlpqUzTDMYNwwirO3v2bC1atEiBQEDr1q3TeeedF+mwAAAAAPoxp8enN7aXy+3zy1VZo7K3P5TP2SKH163TDuySLRCQJMUMzNTpd/9MiSOHHucZAwAAAACAE0lE+zy53W5ddNFFKikpkcPh0E033aTXXnut3frZ2dmaMWOGJGn16tWRzRQAAABAv+b1B/SP7eVqcnvVsLNQxX9fK5+zRTa/T6cX7ZLd55UkpZ0xXtOW30NiEwAAAAAAdFtEKzeffPJJ7d27V3a7XWvWrNG0aZ1vIzVr1iy99dZb+vjjjyMZEgAAAEA/5g+YeuuLClU2tKjqk82q37FXkmQxAxp/YLfiPC5J0tD/vFj5P5ovg/M0AQAAAABABCJKbv71r3+VYRj60Y9+1KXEpiSNHz9ekrRnz55IhgQAAADQT5mmqff3VqmwuFpl73wkV0V1sGx08T6ltDTJGuPQ2NuuU9aMM4/jTAEAAAAAwIkuouTm1q1bJUlz5szpcpu0tDRJUk1NTSRDAgAAAOinNh2o0+YtBSp75yP5W1zBeH55kQY01io2d6Am3P1zxQ/LPY6zBAAAAAAAXwURJTfr6uokSenp6V1u4/f7JUmGYUQyJAAAAIB+aEdZg97++8eq3rBVMs1gPK+6THk15co4e5LG/fInikqIO46zBAAAAAAAXxURHXSTlJQkSSopKelym717W8/cObSCEwAAAMCJbd+BKr34v6+oev2WkMTmgIYajag4oOH/dakm/P5mEpsAAAAAAKDXRJTcHD58uCRpy5YtXW7zt7/9TdLhszcBAAAAnLj2frpTK37/vJqKQl94THY2amx9qSb+/maNuOpSGZaIHjkAAAAAAADaFNFfGmbNmiXTNLVs2TJ5vd5O669bt04vvfSSDMPQBRdcEMmQAAAAAPoB0zS1/cU3tWLpX+Rqbgkpi3O36Mxot7721N3K/PoZx2mGAAAAAADgqyyi5Oa1116r2NhYlZSUaOHChfJ4PO3Wfe6553TRRRcpEAgoJSVFCxcujHiyAAAAAI4fn7NFG361VC/87WO5DWtImd3r0YVjsnTOE3cqLm/QcZohAAAAAAD4qrNF0mjAgAG67777dM011+j555/XunXrdPHFFwfLV6xYoaamJr355psqLCyUaZoyDEOPPfaY4uI4bwcAAAA40TTtO6CNv7hP75vxcsbGh5RFGdL3vnu2xl484zjNDgAAAAAAnCwiSm5K0g9/+EM5nU79/Oc/V3FxsR555BEZhiFJuvfee4P1TNOUzWbT0qVL9d3vfrfnMwYAAABwTJWsfldbf/+4tqTnqj4hNLEZnRin/7zyAp1y+ojjNDsAAAAAAHAyiWhb2kNuvPFGbdq0Sf/xH/+huLg4maYZ8mO32/Wd73xHGzZs0DXXXNNbcwYAAABwDPicLdr6m4e15Y6HtDM5S5UJKSHl8UNzdfni75HYBAAAAAAAx0zEKzcPGTt2rJ577jn5/X5t375dFRUV8vl8ysjI0JgxY2S323tjngAAAACOoYZdBfrstvvkPFCq/WlZOpiSGSwzLIbSp56umRecoVNzUzroBQAAAAAAoHf1OLl5iNVq1bhx43qrOwAAAADHgWmaKnrxDe18+FmZXp/KEtO0NzM3WG6Li1XWzDM1YdwQTchJPo4zBQAAAAAAJ6OIkpvPPPOMJOniiy9WYmJil9o0NTXp5ZdfliQtWLAgkmEBAAAA9CFPfaM+/+0yVb6/QZJUE5uoHYOGBMvj8gYp85wzNGxgss4elibDMI7TTAEAAAAAwMkqouTmlVdeKcMwNHnyZI0ePbpLbcrLy3XllVfKYrGQ3AQAAAD6mZpPt2nLLx+Uu7JGktRkj9HWnBEKGBYZFovSppympNEjNCDRoZkjM2UhsQkAAAAAAI6DXtuWtqtM0zzWQwIAAABoR8Dv177lf9He5S9JgYAkyWWL1me5I+WzWhWVlKCs6dNkT0tWoiNKs08ZIJvVcpxnDQAAAAAATlbHLLkZ+PIPJVar9VgNCQAAAKADLeVV2vqrB1W7eUcw5rVY9VlevlxR0UrIH6KMMyfIEmVTTJRVF47OUkw0v88DAAAAAIDj55glNw8ePChJXT6jEwAAAEDfKX3rA23/w+PyNTYHY37D0NacEXLGJ2rAWZOUMCJPkmSzWDT71CwlxUQdr+kCAAAAAABI6mFy0+jCOTter1e7d+/Wb3/7W0nSyJEjezIkAAAAgB7wNjZrxx+fUOk/3w+Jm5J2DBwq5+DByp0+TVGJ8ZIkQ4ZmjspUZoL9OMwWAAAAAAAgVJeSm21tJWuapsaOHdutwQzD0MUXX9ytNgAAAAB6R82mbdr666VyVVSHle3JzJX77LOUM3msjCPO1Pza8DQNTo09ltMEAAAAAABoV5eSm6ZpdivenunTp+vGG2/sVhsAAAAAPeP3eLTn8VUqfP5VqY3f4csGD5f34ouUnpsVEp+Qk6xTszhWAgAAAAAA9B9dSm5eccUVId9XrlwpwzA0d+5cJScnt9vOMAw5HA5lZ2fr61//us4555yezRYAAABAtzTuLdLWXy9V4+7CNst9089Ry8xvKM4Ruu3syMwETc5LOQYzBAAAAAAA6LouJTeXL18e8n3lypWSpDvvvFOjR4/u/VkBAAAA6BEzEND+F97Q7kefU8DjDSu3xjiUdt0PtHHgMFmOWs2Zkxyjrw9Pl2EYx2q6AAAAAAAAXdKl5ObRfvnLX0qSMjMze3UyXbFr1y698cYbeu+99/T555+rpKREHo9HqampGjt2rObMmaOFCxd2uKL0SH/5y1+0cuVKbdq0SZWVlcF+5s+frwULFrR53mhbdu7cqUceeURvvvmmDh48KKvVqsGDB+ub3/ymrrvuOmVnZ/fksgEAAIAuaymv0rY7H1H1+i1tlieNHam8W67VW1V+BXz+kLK0OLvOHzVAVguJTQAAAAAA0P/0KLl5rF1xxRV65pln2iwrLy9XeXm51qxZo3vuuUcrVqzQhRde2G5fTqdT3/ve9/T666+HxMvKylRWVqa3335bjz/+uF599VVlZGR0OK/HH39cN9xwg1wuV0h869at2rp1qx599FE988wz+ta3vtXFKwUAAAC6zzRNFb++Vl88uFz+5pbwChaLRvzXPGX+x1y9tq1C7qMSm/H2KF0weoCibZZjNGMAAAAAAIDuiSi5ebwUFxdLkuLj43XxxRdr+vTpys/PV3x8vAoKCrRy5Uq9+uqrqqio0MUXX6x//vOfOvfcc9vsa/78+cHE5uTJk7VkyRLl5+frwIEDWrZsmdasWaOPP/5Y3/zmN/Wvf/1L0dHRbfbz8ssv65prrpFpmkpMTNTNN9+s8847Tz6fT2+88Ybuv/9+1dXV6dJLL9XatWs1bdq0vvmXAwAAgJOaq7JG2+7+X1V9uEl+w1BlYpoK0geqISZePqtVjtgYjT5/inInjtCbOyrV5A7dqtZus+rC0QMUF31CPSIAAAAAAICTTER/ufjss880ceJERUVFac+ePcrJyemw/sGDBzV8+HD5/X59/vnnOuWUUyKabHZ2th566CH94Ac/UFxcXEjZhAkT9J3vfEf33nuvfvrTn8rj8eiaa67Rjh07wvp5+eWX9corr0iSzjvvPP3jH/+Q3W6X1JrovOiii/T9739fzz//vP79739r2bJlWrx4cVg/zc3Nuv7662WapmJiYvTuu+/q9NNPD5afc845Ovfcc/X//t//k8vl0o9+9CNt3LhRFgtvwgMAAKB3mKap0n+8px33Py13k1MFGTnalZWnJnuMbH6/7D6vEofnKvm00SoKSP9as1sBBZSbEqNBSTGyGIasFkOzTx2glNi2X+gDAAAAAADoLyLKsv3lL3+RaZq64IILOk1sSlJOTo7mzJmjQCCgF154IZIhJUkrV67U9ddfH5bYPNJNN92kiRMnSpK++OILffbZZ2F17rrrLkmSYRh6/PHHg4nNQywWi5YtW6b4+HhJ0j333KNAIBDWz4oVK1RaWhoc98jE5iEXXnih5s+fL0navHmzVq9e3ZVLBQAAADrlrqnT5lv+oK13PKSWZpfWDx2jjUNOUcAwlNrcoFTDr6HTpyjv7IlKiHPI5Q3IajFlmtLO8ibtKGuUP2Bqen6mshIdx/tyAAAAAAAAOhVRcnPNmjUyDKPDMy2PNmfOHEnS22+/HcmQ3TJ9+vTg5927d4eUFRYWasOGDcF6+fn5bfaRnJysSy65RFLreZ7/+te/wuq8+OKLwc9XX311u/M5suyll17qwhUAAAAAHSt9+wN98B+LVfHev+U3DG0ccqqKUrOU2tSgGK9HiSMGK++7sxWXN7C1foNL1c1uGYYhu82iRIdN5Q0uefwB5aXGHOerAQAAAAAA6JqIkpsHDx6UJI0dO7bLbUaPHi1JOnDgQCRDdovH4wl+tlqtIWXvvfde8PORSdC2zJgxo812kuTz+fTRRx9JkoYPH668vLx2+znzzDPlcDja7AcAAADoDk9dgzb/4l5t+Z/75W1olCQVpGdrf1qWUpobFOWIVtbMszTg3Cmy2lu3ma1scqu0viWkH4thaERGvCoa3dpYVHfMrwMAAAAAACASESU3y8vLJSm4bWtXHKp7qG1fWrt2bfDzoaTqIdu2bWu37GhHlh/ZTmpdEXooidpZP9HR0RoxYoQkqaCgQE6ns8P6AAAAwNFM01TpP9/X+5fdoPJ3PgrG/YahXVl5inO3KHFYjvK+O1vxQ7KD5XUtXhXVtoT1lxIbrdyUWKXERumDfdXytXEMAwAAAAAAQH8TUXLzUKKyqqqqy20O1T36fMve9vLLL+vzzz+XJE2YMEGjRo0KKS8qKgp+7mi1pSTl5ua22a67/RzZl2mawZWvAAAAQFe0lFdp00/v0pZfPiBvfWNIWWVCqpzxiRpy9gRlTZ8mq+Pw79vNbr8Kqpol0wxpE++I0pC0WBmGlGC3qdbpUUEVL+ABAAAAAID+zxZJo8GDB6u2tlbvvfeeZs6c2aU27777rqTQhGFvKy0t1fXXXx/8/vvf/z6sTmPj4T8GdbbyNCEhoc123e2ns74Oue+++3TfffcFvzudTr355pud9g0glMvl4t4BIsC9A3RfX983ZiAg70db5HrtPZkeb5t1dk4+U0Z+tspNr8r37D08N79U4TLkD81rKtoiJcSY2tdwOFbvlZ57q1hnph9VGegjJ8L/c0yfXwG/X0YJ2zaj//D4/fqkpOB4TwM4oXDfAJHh3gEiw73TC7rwp4mIkpvTp0/Xp59+qkceeUQ33HCDUlNTO6xfXV2tRx99VIZhdHrOZaRaWlr07W9/W6WlpZKkG264Qeeff36b9Q6Jjo7usM8jV5ke2a67/XTW1yFLlizRkiVLgt8zMjI0e/bsTvsGEOrNN9/k3gEiwL0DdF9f3jfNRSXadtejqt28Q9GOGMkRE1JuS4zXqUv+S2X2gUoPBBRvP/yrfVWTR0W1TiXFhD4RRFktOmVAgqJtoRu4NLp8irZZNPvcEX1yLcDRToT/5zTsLlBzYbHsaSnHeypA0CclBZo6aOjxngZwQuG+ASLDvQNEhnun5wI+f6d1ItqW9uqrr5bFYlFNTY3mzJmjkpKSdusWFxdrzpw5qq6ulmEY+uEPfxjJkB3yer2aN2+ePvnkE0nS7Nmz9Yc//KHNujExh/8odOjMzPa43e4223W3n876AgAAAA4J+Hzat/Jlffj9m1S7eUebdbLOP1tf+/MDGjT76/L4A7IYrXHTlA7WtWh/TbPMo7aitVgMjciID0tsSpLVIrl9nLkJAAAAAAD6v4hWbo4aNUo/+clP9MADD2j9+vUaNWqUvve97+m8887ToEGDZBiGiouLtXbtWq1atUotLS0yDEPXXnutxowZ06sX4Pf7NX/+fP3973+XJJ133nn661//qqioqDbrH7k9bFNTU4d9H1l+ZLvu9tNZXwAAAIAkNXyxT5//7hE17i5ss9yekarRP7tamV8/43DMZpHXH5A/YKqw2qm6lvAX76wWQ8PT4xUbbW2zX3+gtR8AAAAAAID+LqLkpiT94Q9/UGlpqVatWqXm5mYtX75cy5cvD6t36I3xefPm6f777498pm0IBAJasGCBXnrpJUnS2Wefrddff73DlZF5eXnBz0VFRZo8eXK7dYuKitps11Y/nTlUxzAM5eTkdFofAAAAJw+fs0V7nlil/S+8IQXaXkGZ8+1ZGnnt5YqKjwuJZ8bbtb2sQUW1LWrx+MLa2aOsGpEeJ0dU24lNSXJ6fcpJ5gU8AAAAAADQ/0X8erbVatWf//xnPfXUUxo2bJhM02zzZ9iwYXryySe1atUqWa3t/0GluwKBgH7wgx/o+eeflySdeeaZWr16teLi4jpsd+TK0e3bt3dY98jyo1ec5ufnB8/a7Kwfj8ejvXv3SpKGDh2q2NjYDusDAADg5FH+7r/1/mU3aP//vd5mYjM2d6DOeOTXGvPzH4YlNiVpcFqs9lQ2y+n2hpUlOKJ0SmZCh4lN0zTl9gU0MZdzBQH8f/buPDiO+s7//7N7eg7NjKQZXbZsWT5lG4PAYBPgSzCGb5YjISbBQLJkNxy7ISQkZHNsSPJL7W5taiu1Vd+Q2iRmE7IbCAnsbiAkOAFsAmub4HDEBl8Y40u2busaaWY0mqOn+/eHbGFbtyyDj9ejSqXR9Ls//W5VqTQ1r/l8PiIiIiIiIqe+Cc/cPOLOO+/kzjvvZPv27WzevJn29nZc16W8vJylS5dSW1s7GX0ew3VdPvOZz/Doo48CcMkll7BmzZoxLfe6bNmygcfr1q3j29/+9rC169atG/I8AMuyuOyyy9iwYQP79u2joaGBGTNmDDnOq6++Sl9f35DjiIiIiMjZqa+1nbe/95+0v7xp6ALTZPZtK5j7t7fi8fuGLNnbnmR7cw8+yyCbd/FbxsCxsrCfGdHgwH6cw0lkbEqCfmaX6QN4IiIiIiIiInLqO+Fw84ja2tqTEmQez3Vd7rnnHn72s58BcPHFF7N27VqKiorGdP6sWbNYunQpmzZtYv369ezZs4eamppBdd3d3TzxxBMATJkyhSuuuGJQzS233MKGDRsAeOihh/jOd74z5DV/+tOfDjy++eabx9SniIiIiJyZnHyeg//zDPv+41fk+9JD1hTWzOK8b32eooVzhjzuui6bG7p5oyEGwIxoAe8cSuL1GJiGSVW0gIqwH2OUYDPvuMRSOVbUTsMyteemiIiIiIiIiJz6Trt3ML74xS/y0EMPAbBkyRKef/55iouLxzXGN7/5TaB/advPfvazZLPZY467rsu9995LMpkE4P7778cc4s2eO+64g8rKSgC+973vsXXr1kE1a9as4bHHHgNg8eLFXH/99ePqVURERETOHN07dvPqnfez+4ePDhlsegoCLPjSHVz68L8OG2zaeYcXd7cPBJsA04oLmFoUoDebZ3ZpkCmFYws2m7rTLK6KsKQ6ckL3JSIiIiIiIiLyXpmUmZuZTIZNmzbR0tJCKpXiYx/72JhnUo7H17/+dVatWgXAtGnT+P73v09jYyONjY3DnlNRUUFFRcUxz910003ceOONPP3006xbt47LL7+cr33ta8ybN4/GxkZ+9KMf8cILLwD9M0PvvffeIccOhUL88Ic/5JZbbqGvr49ly5bxjW98g+XLl2PbNs8++ywPPPAAruvi9/t58MEHhwxJRUREROTMlkv0svvfH6Pxt38A1x2ypmLZB1j4lbsomFI27Di9WZu1bx+iI5k55nnTMFhaHSXvuOxpT2J5DAr9FsYQCafruiQyNrFUjsVVEVbUVmrWpoiIiIiIiIicNk4o3Gxra+Pb3/42v/zlL8lk3n2DZenSpSxatGjg55/97Gc88sgjRCIRVq9ePeHr/epXvxp43NzcPKb9K//xH/+Rf/qnfxr0/OOPP86tt97KM888w6ZNm/jkJz85qObSSy9l9erV+HxD73EEsHLlSn784x9z3333EY/H+da3vjWoJhKJ8Oijj3LZZZeN2q+IiIiInDlcx6HpmfXsfvCX5LrjQ9YEppRxzlf/hoorLh5xrI5khjVvHyKVtQcdm1oU4C8QvcasAAAgAElEQVQWTMFrGWyu72bj/k4au9P4LIOg18JjQt6BVM4ma7tEgz5W1E5jSXVEwaaIiIiIiIiInFYmHG7u3LmTa665hpaWFtyjPn0+1KfDr732Wj772c/iOA7r169n+fLlE73spAkGg/z+97/n17/+NT//+c/ZvHkzHR0dRKNRzjvvPG677TZuv/12PB7PqGPdfffdXHnllaxatYq1a9fS1NSEaZrMnDmTG264gS984QtMnz79PbgrERERETlV9Ly9l7e/95/0vLVn6ALTZNYnb2Du39yCFSwYcaz9Hb2s39OO7TiDjs2vKOSDc0sHQspLZpWwpDpCXUeKNxpitCUzZGwHv2VSFSnkohlRZpcFFWqKiIiIiIiIyGlpQuFmJpPhxhtvpLm5mYKCAj7/+c+zfPlyPvrRjw5ZP336dK6++mpeeOEFnnvuuQmHmwcOHJjQeSNZuXIlK1euPOFxFixYwA9+8INJ6EhERERETmfZ7jh7fvJfND79wrBL0BafN59Ff/8ZiubPHnEs13V5s7GbTfWxQccMDD4wM8r504sHfcDQMk1qKsLUVIQnfiMiIiIiIiIiIqegCYWb//Ef/8G+ffvw+/28+OKLXHrppaOec8011/CHP/yBV199dSKXFBERERE5pbmOQ+PTL7D7x49jx5ND1liFIeZ/7lNU3fghjFFmTtqOw0t7O9jbPngsr8fkqppyZpWGJqV3EREREREREZHTxYTCzd/85jcYhsHnPve5MQWbAOeffz4Ae/funcglRUREREROWbHt7/D2//sPErvrhi4wDKZ/9Grm33MbvmjxqOOlsjZ/2NXGoUR60LGw3+KahVMoC/tPtG0RERERERERkdPOhMLN7du3A/DhD394zOeUlpYC0NXVNZFLioiIiIiccpx4L9u/8yOan10/bE3ROXNZ9LW/pXhRzZjG7OzNsvbtVpIZe9CxisIA1yysIOib0Mt4EREREREREZHT3oTeFenu7gagrKxszOfk83mAQfsBiYiIiIicbvLZLPW/epbkAz+j2R8YssZbXMj8z/8V02+4atQlaI840NXLut3t5PLOoGPzysIsqynDGuNYIiIiIiIiIiJnogmFm8XFxXR2dtLc3MzixYvHdM6+ffuAd2dwioiIiIicblzX5dD619j9o1/Q13wIN5OF48NN02TGx6+h5u5P4i0Kj3ncbc1xXj/QhYs76PjS6igXVkX0QUEREREREREROetNKNycO3cunZ2dbNu2bcxL0/72t78F3t17U0RERETkdBLftZ9d//YIsS07h62JXLCQc77yNxTNnz3mcfOOy8v7OninLTHomGWaLK8pZ05ZaEI9i4iIiIiIiIicaSYUbl5zzTW89tprrFq1iq9+9at4vd4R69evX8+TTz6JYRhcd911E2pUREREROT9kG7vYs9P/qt/X0138KxKAF9JhAVf/DSV114xrtmV6Vye53cdojWeHnQs6LO49pwplIf9E21dREREREREROSMM6ENez7/+c8TDAZpbm7mrrvuIpvNDlv72GOPceONN+I4DtFolLvuumvCzYqIiIiIvFfymSz7Hn6Slz9xH83PrBsy2DQsD3Nuv4krnvgh065bNq5gM5bK8pttzUMGm2UhPx87f5qCTRERERERERGR40xo5uaUKVN44IEHuOeee3j88cdZv349H/vYxwaOP/LIIySTSdauXcuBAwdwXRfDMPjJT35CKKQltURERETk1OW6Lq1/2MjuVb8g3dY5bN3UD12Oc850am67ddzXaIileOGdNnJ5Z9Cx2aUhrqopx/JM6HOIIiIiIiIiIiJntAmFmwB33303qVSKr3/96zQ1NfHggw8OfFL9e9/73kCd67pYlsUPfvADVq5ceeIdi4iIiIicJF1vvsU7P/oF8Z17h60pWjSPhX93J9HaBbSuXTuu8V3X5a2WOK/UdeEyeCbohVURllZHxzUDVERERERERETkbDLhcBPg7/7u7/jQhz7Ed7/7XX73u9+RTCaPOR4IBPjwhz/MP/zDP3D++eefUKMiIiIiIidLYl89ux/8JR1/emPYGn95CfM/96n+fTXN8c+qzDsur9R1srM1PuiYxzRYNrecmorwuMcVERERERERETmbnFC4CXDeeefx2GOPkc/n2blzJ21tbdi2TXl5Oeeeey5+v/YJEhEREZFTU7qtk70//W+ant0AzuAlYgHMgJ/Zn7qRWZ9agVUQmNh1cnlefKeNpp6+QccKvB7+YuEUphZNbGwRERERERERkbPJiOHmTTfdhGEY/Nu//RtVVVUjDuTxeKitrZ3U5kREREREToZcope6R3/DwV89g5PNDVtXed0y5n/uUwQqSid8re6+HGvfbqWnb/B1SoI+rj1nCoUB74THFxERERERERE5m4wYbv72t7/FMAy+853vHPO8aZqYpsm2bdtYtGjRSW1QRERERGSy5LNZGp56nn0PP4kdTw5bV7K0lgX3/jVFC+ec0PWauvt44Z02MnZ+0LGZJUGuqqnAZ41/iVsRERERERERkbPVhJeldV13MvsQERERETlpXMehZe0f2fvT/6GvpW3YusKaWcy/968ou2TxkMdtx6GuI8UbDTHakhn2NJns3rCXirCfi2ZEmV0WxDq8H+fbrXFe3t855OvmC6ZHuHhmFNMwJucGRURERERERETOEiOGm6FQiFQqRXt7+3vVj4iIiIjIpHFdl0PrX2PvT/+H3rqGYesCU8upufuTVF57BYY5eCal7Thsru9m4/5OYqksPssg5LMwgFzeYXd7gh0tcaJBH5fNLsF2XN5ujQ8axzQMrphbxoIphZN5myIiIiIiIiIiZ40Rw805c+awY8cOHn74Ya644grMId7oERERERE51biuS8erW9j70H8R37V/2DqrKMzcO1YyY+W1eHy+IWsydp6ntzWztamHaNBLVSSAcXjGpd8DYb9F2G/hui49fTl+urGOwoDFginhgVmcAAHLw18srKCyuGByb1ZERERERERE5CwyYrh5ww03sH37dn7xi1/w/PPPM3fuXLxe78DxO++8k1AoNK4LGobBiy++OLFuRURERERG0fXmW+z5yX/RvXXXsDWmz8vMWz/C7E9/HG/h8K9nbcfh6W3NbGuKUxUpwGMOv4xsNu/S1JPGY8KheBqAc6YWYhoGkQIf1y2aQlHAO+z5IiIiIiIiIiIyuhHDzfvvv5/f/OY37Nq1i9bWVg4dOjRwzHVdNm3aNK6Lua478Cl3EREREZHJ1PP2Xvb8+L/ofH3r8EWmyfQPX8ncv/0EBVPKRh1zc303W5t6Rg02E2mb/R292I6DaRgUBixa42mKCywunVXG/11Qjt/yTOS2RERERERERETkKCOGm0VFRbz++uusWrWK559/nqamJjKZDAcPHsQwDCorK4+ZySkiIiIi8l5L7D3Inof+m/Y//nnEuqkfupx5n/kEoeppYxrXdhw27u8kGvSOGGx2JLPUx1K4rjvwnGkYFHg99OUcPrSwHJ9HwaaIiIiIiIiIyGQYMdwECIfD3H///dx///0Dzx3Ze/P5559n0aJFJ687EREREZFhJPbVs+9nT3Bo3atwVLB4vPIPLqXm7k9SWDNrXOPXdaSIpbJURQJDHndd6Moa9HT1Dj5oGMwrD5GxXQ529lFTER7XtUVEREREREREZGijhpsiIiIiIqeSxN6D74aaIyhZWkvNPX9J5Nz5E7rOGw0xfJYx5LYKvdk8zT199GSh5LhjHtNgTlmYooDFoUSaNxpiCjdFRERERERERCbJhMLNhx9+GICqqqpJbUZEREREZDjx3XXse/hJ2ta/NmJdce0C5t9zGyUXnXtC12tLZgj53n257DguXakc7ckMqaw95Dl+r4d5ZWEC3v6VToJei7Zk5oT6EBERERERERGRd00o3Lz99tsnuw8RERERkSHF36lj38+eoO2l10esK5w/m5rP/iVll1045GzL8crYDpYJfbk87cksXb0Z8s7wy98WBrzMKQ1hed69tsfsH0dERERERERERCaHlqUVERERkVNSfNd+9v7nr2h/edOIdYXzZzPvb26h/IqLJyXUBMg7LqlsnkOJNHZ+9HCyLOxnRjSIedzl8w74LXNSehIRERERERERkUkIN2OxGK+88gr79u0jHo+Tz+dHPecf/uEfTvSyIiIiInKGim3bxf6fP0XHn94Ysa5wwZz+UPODSyct1Eykc7x9KME7hxJ09GboSWUJ+Yd/yez3wJyyMJECL0O1kMrZVEUKJ6U3ERERERERERE5gXCzp6eHr33ta/zyl78km82O61yFmyIiIiJyNNd16Xh1C3WPPkVsy9sj1hadM5e5d91C+eVLJiXUdFyXhlgfb7fGaYj14dK/9GxlUYC2RBrXdY+5jmkYlIR8lIf9NGe7iAa9w95Txna4aEb0hHsUEREREREREZF+Ewo3e3t7Wb58Odu2bcN1h993aCiT9al6ERERETn9uY5D6/++Qt0vfktid92ItUWL5jHvb26dtD01U1mbd9qSvN2aIJnJDToeDXop8HrI5l38lkHA66E87Kck5MM6fv3ZISQyNiVBP7PLgifcq4iIiIiIiIiI9JtQuPn973+frVu3ArBw4UK++MUv8oEPfICSkhJMU3sKiYiIiMjInFyO5udeou6XvyXV0DJibfF585l71y2UXbr4hENN13Vpiad5uzVBXWcvzggf1DMNg+qSIE3daeaWhSkeZunZoeQdl1gqx4raaVh6fSwiIiIiIiIiMmkmFG4++eSTACxZsoSXXnqJgoKCSW1KRERERM5MdqqPxtUvcuDx1WTau0asjV54LnNu/zilH7jghEPNjJ1nT1uSna0JuvtG31KhMODlnCmFzC0Ls+btVrY29lAYsPCMoY+849LUnWZxVYQl1ZET6ltERERERERERI41oXBz3759GIbBN77xDQWbIiIiIjKqbKyH+l+v5eATz2LHkyPWln9wKXNuv4nIefNP+LrtyQw7W+Ls6+jFdpwRaw0MqksKOGdqETMiBQOB6oraSgC2NHYTDXop9FtDhq2u65LI2MRSORZXRVhRW6lZmyIiIiIiIiIik2xC4eaRpWfnzp07qc2IiIiIyJml92ATB/779zQ/ux4nO3hfywGmScU1H8T46PW84wbY2Jkh8+Ju/JZJRdjPRTOizC4LjikstPMO+zp6eas1TkcyM2p9gddi4ZQw50wtIuwf/PLYb3n4+AXTqI4G2bi/k8buND7LIOi1yOQhkbZJ5Wyytks06GNF7TSWVEcUbIqIiIiIiIiInAQTCjfnzp3L1q1bicVik92PiIiIiJzmXNcltvVtDjy2mvaNm2GkfS19XqbecDVdV13NurhDrDmLz8oR8llYJuTyDrvbE+xoiRMN+rh8TumwwWEslWVna4I97Qmy9sizNAGmFRewaGoRM0uCeMyRl5u1TJNLZpWwpDpCXUeKNxpitCUzuIDPMqmKFI4rgBURERERERERkYmZULh5yy23sGXLFtasWcNVV1012T2JiIiIyGnIyec5tO5VDjy+mvjb+0as9QQDVN90HVNvvp41TSm2NvUQDXqpigQGLfka9lsDS76u3t5MfSzFitpK/JaHvONS19nL24cStPT0jdqjzzKZX1HIoimFRIK+cd+jZZrUVISpqQgDsDa9j2uvnDfucUREREREREREZGImFG7ed999PPzww6xatYpPfepTnH/++ZPdl4iIiIicJuxUH42rX+Tg/zxDurV9xFpftJjqWz9M9crrMEIFPLWliW1NcaoiBSPOnjQMg6KAl5DPYmtjD5lcnrnlYfa299KXs0ftsTzsZ9HUIuaWhbA8mlkpIiIiIiIiInK6mlC4GQqFWLNmDR/5yEdYtmwZ//zP/8xf/dVfUVJSMtn9iYiIiMgpqu9QB/VPPEfj03/ATqZGrA3NnsGsv/woldd+EI+vf8bkawe62NrUM2qweYTrQiJjk7Ztfr+jlflTQlRFgsPWW6bJvPIwi6YWUhb2j+/mRERERERERETklDShcHPOnDkApFIp4vE4X/7yl/nyl79MeXk5weDwbzBB/6fu9+0beZkyERERETk1ua5LbMtO6p94jkMbXgdn5L0tS5acx6xP3UjZJRdgHLUXpe04bNzfSTToHTXYzOUdOnqzdCSzZO08AAGvSUOsj2nFBZjHLWMbKfBxbmUR88pD+C3PBO9URERERERERERORRMKNw8cOHDMz67rAtDW1jbqucfvoSQiIiIip758JkvL8y9T/8SzJPYcGLHW8HiY+qH/w6y/XEHRgtlD1tR1pIilslRFAkMed11IZmzakxm6+3IDrzeP8HkM4hmbWCpHaciHaRjMKQ1xztRCphYN3rdTRERERERERETODBMKN5ctW6Y3jERERETOAn2HOmh4ai2Nv32BXDwxYq0nVMCMG/+C6ls/TMGUshFr32iI4bOMY15TOo5LImMTT9v0pHNkcvlhzzcMA8sw6OrNcv2iqSyoKKTAp1maIiIiIiIiIiJnugmFm+vXr5/kNkRERETkVOG6Lt3bdnHwV89yaP1roy49G5haTvUt1zPjxg9hhUbeouCItmSGoNcilc0TT+eIp22SGXvQDM2hGRQXWFQWBygN+VlcFRnTNUVERERERERE5PQ3oXBTRERERM48dl+a1j9spP7Xa0jsrhu1vuSi86i+9cNUXLH0mP00R9KbtWmM9bGvPUlvLs/YzupneUzKQj7Kw358lkkqa5OxRw5eRURERERERETkzKJwU0REROQsl6xrpOGptTSv2YCdTI1Ya/p9TLtuGdU3X0/hvJmjjm3nHVriaRq7+2js7iOWygKQyNg4jovPGj3eLAx4KQv7iBT4MI/aGSHvgH8M54uIiIiIiIiIyJlD4aaIiIjIWcjJ5Ti0/nUanlpLbMvOUesDU8qovvk6pn/0/+IrLhy2znVdOnuzNB0OM1viaZwhlpoN+S26kplhwk2DoM9DUcCiNOQj4B16L81UzqYqMnwvIiIiIiIiIiJy5lG4KSIiInIWsB2Huo4Ur+6oZ/+2vcT2N2KmUhT1mcwuKqU80YVniBAyeuG5VN9yPRXLLsb0DB0yHllqtqmnj6buPvpy+VH7qSwK0JZI47ouhmHgs0yKAl6KAl4K/RaWxxjxfNd1ydgOF82Iju0XICIiIiIiIiIiZ4RRw82rr756Ui9oGAYvvvjipI4pIiIiIkOzHYdNB7p48U+7aNrfRL61Hb+dw3AdbNNDS3EZDSVTCGf6mN9az+yOJrx+H9OuvYLqlddRWDNr8JjDLDU7HhWFfqYUBgj6PFQWFeC3TIyR88xjJDI2JUE/s8uC4762iIiIiIiIiIicvkYNN9evX48xnneaRnDkk/kiIiIicvJ1N7by2G9fZ8vBTgLxbkK5LMe/EgvYWVwg7fWx9dyL8M67nttW/h/CRy33evxSs62JNHln8CzPkRgYlIV9VEUKqIoUUFEYYFN9jNXbm/F6jHEFm3nHJZbKsaJ2GpapPTdFRERERERERM4mY1qW1h1iiTIREREROfXks1naXvoz9b/7X9Z05KkvmUq0N47J0K/nDNMgPGsGVefMwVteRn1PmufqerjmnACHDs/OHOtSs8cL+y2qIkGmRwJMLy4YtHfmkuoI9bEUWxt7mB4J4DFHTzjzjktTd5rFVRGWVEfG3ZOIiIiIiIiIiJzeRg036+rq3os+REREROQEJPbV0/S7/6X5uQ3k4gn2lldxcNZCSpJDB5vecIiihXMonD8LqyCA47gkMjYuLqu3t7C9uZuqyPiWfPV6TKYVBw4HmgUUB6wRV+2wTJMVtZUAbGnsJhrs329zqHNct7+/WCrH4qoIK2orNWtTREREREREROQsNGq4OXPmzPeiDxEREREZJzvVR+sfNtL4uxfpeWvPwPN5w2D31GpCmb5jg03DIDSjkqKFcwlOn0Kf7dCRzhFPJElm7IHVOjwGNMT6mFZcgDlCODnUUrNjmX15NL/l4eMXTKM6GmTj/k4au9P4LIOg18JjQt6BVM4ma7tEgz5W1E5jSXVEwaaIiIiIiIiIyFlqTMvSioiIiMipwXVdure/Q9PvXqT1xVfI96UH1bQXlpD0F1DSGwfACgcpqplNaN5Mei0vbX054i1x7Lwz5DV8HoP44VmSpSHfMcdGW2p2IizT5JJZJSypjlDXkeKNhhhtyQwZ28FvmVRFCrloRpTZZUGFmiIiIiIiIiIiZzmFmyIiIiKngVRzGy1rNtD83AZSja0j1taVVeJ1XQpnzyA0fxa5aAmxvhwHe3I4bnbUaxmGgWUYtMTTTC0KjGup2RNhmSY1FWFqKsInZXwRERERERERETn9KdwUEREROUXZvSla//dVmp9dT2zLzjGdE54zA+ODl1I2dSq9poeWvhxOZ+84rmoQ9HkoDngpCfn49AdmjnupWRERERERERERkZNF4aaIiIjIKcR1HDpf30rTsxto2/AaTjY36jmeYICyv7gC98oP0h4p5cDmBozeHF5PfkzX9FkmhQEvRQGLIr8Xy2OQytrYDgo2RURERERERETklKJwU0REROQUkNhXT/NzG2he8xLZztiYzgmevxDjQ1eTmF/D5pRN3nGhK4VpGDiOO+x5hmH0B5kBL0UBL37L5PiVZvMO+C3tbykiIiIiIiIiIqcWhZsiIiIi75O+Qx20vrCRludfJrG7bkzneCqnwIeWk6qtpcHjx3FdSB47uzPkt+hKZvAdFU4ahkFxwEsk6CVS4B11RmYqZ1MVKRz/TYmIiIiIiIiIiJxECjdFRERE3kPZngSH1r1Cy9qXx7yPphMO4V51BanFi+kuLsE5csAdenZmZVGAtkQagEjQR7TAS/EYAs13h3XJ2A4XzYiOqV5EREREREREROS9onBTRERE5ATYjkNdR4o3GmK0JTNkbAe/ZVIR9nPRjCizy4KQztD20p9p+cPLdL62FTc/+l6YOY9F7tIP0LfkInqnV+F6xrZErGWaXFgVIZ3LE/J5iAR9476nRMamJOjv711EREREREREROQUonBTREREZAJsx2FzfTcb93cSS2XxWQYhn4VlQi7vsLs1zqatdXibW6h688/MajmIZ5iZlkfkTA/JhQvJXnoxqVlzMIOBMfVimSYzogXMKQtRHQ3i9ZhEgz5Wb2+mMDD2GZsAeccllsqxonYalqk9N0VERERERERE5NSicFNERERknDJ2nqe3NbO1qYdo0EtVJIBhGLiOQ19LO6m6BnoPNEEmS8LrY9P0ebT7Qyw5uAuvc+yszazHonv6DDIfuJj0vLl4S6MYBowWK1qmSXVJkNmlwYFA82hLqiPUx1JsbexheiQwpoAz77g0dadZXBVhSXVkvL8WERERERERERGRk+60CzcTiQRvvPEGmzZtYtOmTWzevJm9e/fiHp4JUVdXx6xZs8Y83q9//Wt+/vOf88Ybb9De3k5JSQnnnXcet912G5/+9KfxeDxjGuedd97hwQcfZO3atTQ2NuLxeJg5cyY33HAD9957L9OnT5/I7YqIiMgpxnYcnt7WzLamOFWRAkxc+poOkaxrpPdgE/lMdqDWAApyWfy5HPWllQBcfGAnedND15RKMkuXkJ43D39lOYZhMNoCsl6PSXU0yOzSENXRAqwRlqq1TJMVtf3X3NLYTTTopdBvYRiDQ07XdUlkbGKpHIurIqyordSsTREREREREREROSWdduHmsmXL2LJlywmPk0ql+MQnPsHvf//7Y55vbW2ltbWVF154gYceeojVq1dTXl4+4lgPPfQQX/rSl0in08c8v337drZv386///u/8+ijj/LRj370hPsWERGR99fm+m62NHRTkorT+VYjyYPNOEcFmkMxcSlKJdk1fQ65RQspmzODQNUUTI+H0Rae9XpMZkaDzC4LMSMycqB5PL/l4eMXTKM6GmTj/k4au9P4LIOg18JjQt6BVM4ma7tEgz5W1E5jSXVEwaaIiIiIiIiIiJyyTrtw0z1qr6ri4mIuvPBCdu3aRWtr67jGue222waCzaVLl/KVr3yFmpoaGhoaWLVqFS+++CKvvvoqN9xwA3/84x/x+YaeS/HUU09xzz334LouRUVF3H///Sxfvhzbtnn22Wf5/ve/T3d3N7feeivr1q3j0ksvnfjNi4iIyPvGyeVoe20rT/+xjt6mQ9ip3lHPyRsmqUABualTyZeU4AuHaPKYVFWXYA4xg/IIr8dkZkmQOaUhqsYZaB7PMk0umVXCkuoIdR0p3miI0ZbMkLEd/JZJVaSQi2ZEmV0WVKgpIiIiIiIiIiKnvNMu3LzrrrsoLy9n6dKlzJs3D8MwWL58+bjCzaeeeoqnn34agOXLl7NmzRr8fj/QH3TeeOON/PVf/zWPP/44r7/+OqtWreLLX/7yoHF6e3v5whe+gOu6FBQUsGHDBhYvXjxwfNmyZVx55ZV85CMfIZ1O87nPfY7Nmzdj6o1DERGR00I+m6Xz9W0c+t9XaPvjn2k0Czg0fzElIwSbecOk119AtqICp7QEb6QIj+XBQ/+HtOKHl38tDR37wamBQLPscKA5ya8XLNOkpiJMTUV4UscVERERERERERF5L5124eZ99913wmN897vfBcAwDB566KGBYPMI0zRZtWoVq1evJplM8q//+q986UtfGhRKPvLII7S0tADw1a9+9Zhg84jrr7+e2267jccee4wtW7bw3HPP8ZGPfOSE70FEREROjlw8Sfuf3qDtpdfpeHUL+b53l52vmzMHK5/n6DmXOY9FxvKS8fpxSktwS6J4iwvxege/zDIMA8swaImnKQ358FkmM6Mh5pSFmB4JaOakiIiIiIiIiIjIKE67cPNEHThwgE2bNgFw1VVXUVNTM2RdJBLh5ptv5pFHHuHQoUP88Y9/5Morrzym5oknnhh4/JnPfGbYa37mM5/hscceA+DJJ59UuCkiInKKSbd10kboaysAACAASURBVPbS6xza8DqxN3fi5vND1sVCRTimQSxYSMbykfH6MIvC+CLF+CJhLGv0l1Z+rwe/ZXLtOVMVaIqIiIiIiIiIiIzTWRduvvTSSwOPr7rqqhFrr776ah555JGB844ON23b5pVXXgFg7ty5VFdXDzvOZZddRiAQIJ1OH3N9ERERGZntOEPuE1kR9p/QPpGu69Jb18ihl16n7aXXib+9b1BN3jBIBEIkAiF6CkLEC8IcLJmKAQRCAXyRYooihZiWZ9TreUyTSIGXaNCLxzRwXJhZEhx33yIiIiIiIiIiIme7sy7cfOuttwYeL1q0aMTao48ffR7Anj17yGazYxrH5/Mxb948duzYQV1dHalUimBQb2iKiMj76/jgcE+Tye4Ne084OJys3jbXd7NxfyexVBafZRDyWVgm5PIOu9sT7GiJEw36uHxOKUuqI6P26joO3Tt207ahP9BMNb67X7cLpHwB4odDzHggRCIQxDUOL0BrGASnVRCuqMBTGCbg9456Dx7TJBL0Ei3wUhjwYh4eKpG28VuarSkiIiIiIiIiIjIRZ124WV9fP/B4pNmWADNmzBjyvPGOc2SsHTt24LoujY2NzJ8/f6wti4iITKrhgkODiQeHkylj53l6WzNbm3qIBr1URQIYhnFMTdhv4bouiYzN6u3N1MdSrKitxH/cLMpcPEnHa1tp/9NmOv70Jrl4AoCsxyIeLiYeCNFTECZeEML2HPuyyLA8hKqmEq6eTrC6Eo/fR1dLnK5kZsi+TcMg6PMQ8lsU+S3CRwWaR0vlbKoihSfwGxIRERERERERETl7nXXhZiKRGHgcDodHrC0sfPeNx6PPG+84o411xAMPPMADDzww8HMqlWLt2rWjji0ix0qn0/rbERlGzoHNXQYHe01ClkvAhIwBCcDj2rQ2HATAdaHOgR17DzIz5LCkxMX7HuSbeRf+3GlQ32sS9bm0dUHbKOc4LqxpaWXnzp0sLXEw2rqwd+7D3lmHXdeEAyQLwiRDhSSilSSDhaT9gWMHsfP9X14LT0UUs7wUs6yYXtOkFxsaGvrLbOjuNUh7wG+C3wN+08XvAa8JRgbSCUgzdN+uC105qE47rO3YOQm/MXm/6X+OyMScDn87rp3Hyecxmrvf71ZEBmTzeV5rrnu/2xA5rejvRmRi9LcjMjH625kE7uglZ1242dfXN/DY5/ONWOv3+4c8b7zjjDbWEV/5ylf4yle+MvBzeXk511577ahji8ix1q5dq78dkSHYjsNTW5rI2XEurg7gOW5a4d69+5g3b+4xz+Udl6buNH1Ti7nugmknfQbnawe6yG5vZml1waD+huPk8/Q2t3GgoYPmF96kdP/e/uVlAxHitVUkAwU4xrF9+4967A2HCM2cTmjWNAJTygbNEgUI+iwqwn5KQz6efasVv2UQCY7+//948XSOSsPkU8vnvm9L/srk0v8ckYk5Hf524nvq6D3QhL80+n63IjLgteY6Lpk2+/1uQ+S0or8bkYnR347IxOhv58Q5dn7UmrMu3CwoKBh4fGTPzOFkMu8uO3f0eeMdZ7SxRERE3gub67vZ2tRDVWTswaHHNJgeCbClsZvqaJBLZpWctP5sx2Hj/k6iQe+o/dm9faQaWok3thJri5E2TBL+IGsq5jHbKGC02NBfGiFUPZ3QzGn4SiIcnWdapklZ2MeUwgDlYT8VhX7C/ndfMtmOy+rtzRQGRu/zaHnHJZbKsaL25IfEIiIiIiIiIiIiZ6qzLtw8ennYZDI5Yu3Rx48+b7zjjDaWiIjIyTae4PB4HtMgGvSycX/nSd1/s64jRSyVpSrSv2Ss6/avQuG6Lk4+T19rB91NbXS3xUimc2QsH7bHA6Hi/nogY/lI+QsIZ45dJcHwmBRMm0JoRiXBGZV4w8H+5zGIBL1UFPqpCPspD/spCfkwh5i9ecSS6gj1sRRbG3uYHhk8A3YoR2bALq6KsKQ6MrFfkIiIiIiIiIiIiJx94WZ1dfXA4/r6epYuXTpsbX19/ZDnDTXOaI7UGIZBVVXVmPsVERGZDMcHh0dzHJfebJ6UDbFUDtd1D4eK4OLiuv01bckUz77VyvTiAvLu4edd9/BXf41zzHNHPc+R48fXvHvemw0x2nsztCczuK5LPp0lF0+SSyTJJVPgOIc7tsA/+CWMARiuQyxYSDjThxUsIFg9jdCMqRRMm4JpeQaWl60o7A8yy8N+fNb4wlrLNFlRWwnAlsZuokEvhX5ryOVsXdclkbGJpXIsroqworZSszZFREREREREREROwFkXbp577rkDj3fu3MlNN900bO3OnTuHPA+gpqYGn89HNps9pm4o2WyWffv2ATB79myCweBEWhcREZmwNxpi+CxjIICz8y496RzdfTni6RyO49KVNsh1DL8aQW/G5oV32jivsuik9Njdm8FJJEn2psjFkzjZ3LjH8Af8mOVRZlx5AcHyKOVh/zHLy4Z8niFDyHFfx/Lw8QumUR0NsnF/J43daXyWQdBr4TEh70AqZ5O1XaJBHytqp53UWa8iIiIiIiIiIiJni7Mu3Fy2bNnA43Xr1vHtb3972Np169YNeR6AZVlcdtllbNiwgX379tHQ0MCMGTOGHOfVV1+lr69vyHFERETeC23JDF7TpC2RobsvRyJj90/NHAfLY9KbsSetJ9dxSbd30dfcRqqplS6CGI6D5Tqjn3yY4fHgLQrjKwpTWFKE1+/F7/Xwl1fVjLq87ImyTJNLZpWwpDpCXUeKNxpitCUzZGwHv2VSFSnkohlRZpcFFWqKiIiIiIiIiIhMkrMu3Jw1axZLly5l06ZNrF+/nj179lBTUzOorru7myeeeAKAKVOmcMUVVwyqueWWW9iwYQMADz30EN/5zneGvOZPf/rTgcc333zzZNyGiIjIqFzXpSuV40BXLztb4mTsPF7PxEM204D8OAPRY/uBbKyHvuY2+lr6v5zcu2Gpp3w6jmH2b545Ak+wgGBRiOLSYiLlxYT8XkI+Dx7TIJG28VkmZWH/hPscL8s0qakIU1MRfs+uKSIiIiIiIiIicrY668JNgG9+85usXLkSx3H47Gc/y5o1a/D5fAPHXdfl3nvvJZnsX5rv/vvvxxxixsUdd9zBv/zLv9DS0sL3vvc9br75Zi644IJjatasWcNjjz0GwOLFi7n++utP4p2JiMjZznFdWuNpDnSlONiVIpHuX9o1m3fGO1FziLENvB4Dr8fENAxMA0yjf6lbjwkGBh7TwDDAY/R/t3sSpOoaSdU1kNpfj5NIYgHFrkPEdTFcFwMX03VJ+fx0BYsIZ/ron2/pYrjg8fsoqCiloKKE4NQyCsMFeD0mQ03KTOVsqiKFJ3ajIiIiIiIiIiIicso67cLNvXv38vLLLx/zXGtr68DjJ598krKysoGfp06dynXXXXdM/U033cSNN97I008/zbp167j88sv52te+xrx582hsbORHP/oRL7zwAgAXX3wx995775C9hEIhfvjDH3LLLbfQ19fHsmXL+MY3vsHy5cuxbZtnn32WBx54ANd18fv9PPjgg0OGpCIiIifCzjs0dvdxoCtFfVeKtJ0fVBPyW3QlM/isY/8PmaZBUcBLpMBLMN3FnGnFGIBhGIe/H/7CoC2ZZn55IZ9YMvQy7NA/M7Nz8w66Nu+g88/b6WtqJTTG+win+3hp/mIimV4KppQTrJpKcPoUfCWRIYPM47muS8Z2uGhGdIxXFBERERERERERkdPNaRduvvzyy9x5553DHv/7v//7Y36+8sorB4WbAI8//ji33norzzzzDJs2beKTn/zkoJpLL72U1atXHzOr83grV67kxz/+Mffddx/xeJxvfetbg2oikQiPPvool1122Ui3JiIiMmbpXJ6Dh2dnNnb3YTsj71NZWRSgLZHGdV28lofigv5AsyhgDexLGTPBbw39IZzhgsNsd5yuN3cSe3MnsS07Sew5MKH7CVZN5aIPLKZx6gJ8FaUUhwPjHiORsSkJ+pldFpxQDyIiIiIiIiIiInLqO+3CzckSDAb5/e9/z69//Wt+/vOfs3nzZjo6OohGo5x33nncdttt3H777Xg8nlHHuvvuu7nyyitZtWoVa9eupampCdM0mTlzJjfccANf+MIXmD59+ntwVyIiciqwHYe6jhRvNMRoS2bI2A5+y6Qi7OeiGVFmlwWxJjCTP57OcaAzxcFYitaeNO5om1MeZWY0SCyVJey3mFIYGNNMyKMdCQ6nGVla/rCR2JaddL25k966hnHeRT9fSYTSi2spWVJL6cW1FEwtByB1oIvV25sJOy4ec+xN5h2XWCrHitppE/rdioiIiIiIiIiIyOnhtAs377jjDu64445JG2/lypWsXLnyhMdZsGABP/jBDyahIxEROV3ZjsPm+m427u8klsriswxCPgvLhFzeYXd7gh0tcaJBH5fPKWVJdWTEIM51XTp7sxzoSnGgs5euVHZc/ZSH/cwqDTGrJEikwMvc8jCrtzfjuC6eMaabdm8fyeZD1B+Ks3j3Vl7euX1cPRxhhYNELzyX0otrKV1SS2h2FcYQPSypjlAfS7G1sYfpkcCYAs6849LUnWZxVYQl1ZEJ9SciIiIiIiIiIiKnh9Mu3BQRETkVZew8T29rZmtTD9Ggl6pIYFB4F/ZbuK5LImOzensz9bEUK2or8VvvrhKQd1xa42kOdKU42NVLMmOPuQfDMJheHGBmSYiZJUHC/mP/zY8lOMwleulrbSfd2k5fSzuZRIpYqIjqzhamHdg55l5Mn5fI+QspXdo/M7NwwRzMMayGYJkmK2orAdjS2E006KXQbw0ZhB75XcZSORZXRVhRW6lZmyIiIiIiIiIiImc4hZsiIiInyHYcnt7WzLamOFWRghFnGxqGQVHAS8hnsbWxB4AbzptKS0+Gg10p6mMpMnZ+zNf2ekyqo0FmlgSZES04Jig93vHBYSRg4UsmyLR1kT7UQbaunoNGfzjoAmmvn95wETM7WlhycBced/hlcA3LQ/G5NZQsXkTJ0loi5y/AM8Ke1SPxWx4+fsE0qqNBNu7vpLE7jc8yCHotPCbkHUjlbLK2SzToY0XttFFnwYqIiIiIiIiIiMiZQeGmiIjICdpc383Wpp5Rg82jOS4ELJPn3mrlrZYephUXjPl6BV6LWaVBZpUEqSwOjDnUyyV6ie/YTe2Wt0ntOcSbfSYJy4eVz+O3c+QccPw+MpYX2+MhnOljyYFdzO5oGhRsmj4vxYtqKLnoXKIXLiJy3nw8Af+Y72E0lmlyyawSllRHhty/tCpSeEL7l4qIiIiIiIiIiMjpSeGmiIicVmzHGTLsqgj735ewy3YcNu7vJBr0jhpspnMO3X05evqyJDN5wMVxXQ52pZhaFMAcYR/MSIGPmSVBZpUGqQj7h1ym9Wiu69LX3Eb3tl3Etu2ie9suknWNcDiknApcYxi0F5ZQV1ZJvCBMxjSxnDwlPT3M7mihPNE1EGqafh+R2gWUXLiI6IWLKD63ZsIzM8fDMk1qKsLUVIRP+rVERERERERERETk1KdwU0RETgu247C5vpuN+zuJpbL4LIOQz8IyIZd32N2eYEdLnGjQx+VzSt+zZUrrOlLEUlmqIoFjnndcl6ztkLYdejM23X050rnBy836PAbxw/tGloaODQsrCgPMKumfoRkJjhwk2qk+4rv20/3WHnre2kP3jt1kO2MjnuNxXabGO5ka7wSgJx6nuKio/1gwQOQDF/SHmRedS/HCOZhe76i/DxEREREREREREZGTSeGmiIic8jJ2nqe3NbO1qYdo0EtVJDBo5mLYb+G6LomMzertzdTHUqyorRxxD8oTlc7leWlvO+lcntZE/yzSjO2QtfNkbZf+nStHZhgGlmHQEk9THvYzPVLArJIg1SVBQr6h/027jkPvgSa6d+ymZ+ceut/aQ3J/AzjOhO/FVxrFO2sKC268nugFCymsmYVp6WWCiIiIiIiIiIiInFr0rqWIiJzSbMfh6W3NbGuKj7qnpWEYFAW8hHwWWxt7APj4BdMmPIPTdV16s3ni6RyJtE3Pcd8zdp7XDnThOC7xdG5C1/CYBmVhP6VhP5/+wEx81uBeM13dA7Mxe97aQ8/be8mn0hO6HgCGQXjODCLnLyRau4DIBedQUFnO888/z6xrr534uCIiIiIiIiIiIiInmcJNERE5pW2u72ZrU8+owebRPKbB9EiALY3dVEeDXDKrZNha23FIpm160jaJdG7gezxtk8jkyDsjz77Muy5jbGuA12MSKfASKfASDnhJ52xsB3yW2b+87Dv7j1liNt3aPr4LHMcM+IksqiFy/gIi5y8kct58vIWhExpTRERERERERERE5P2gcFNERE5ZtuOwcX8n0aB3zMHmER7TIBr0snF/J+dNKyJ1eAZmPG0PfE+kc/Rm8rhjWD522OsYBs4oAShAwOs5HGj6CPo8GAY4OZvMoQ5ibTHcrm5e/ukqeuubwZ14PwAFlRUUn1tD8bk1WmJWREREREREREREzih6p1NERE5ZdR0pYqksVZHAiHWuC7m8M7DnZcbOk7Ed0rk87cksP1ifpzTkOyk9hvwWXckMPsuDzzLwWx58lknAMg9/7//ZzOfJdHWTaWqkrSNGpiNGtjsOQE8gRGVPB70Hm8Z9fU8wQPGiGiKHw8zic2vwl0Qm+zZFRERERERERERETgkKN0VE5JT1RkMMn2VgGO/O2nRdSOfyJDI2iYxNOtcfZLrDzHY0cGmJpycl3PSYBoV+L8UFFoUBL0V+i4VTCnlmRwuzSoN4Du/t6eRsMl3dZDu7SXTEyLR3ke1JDDkj0wVsj8XsjpbRGzBNCudW94eYhwPN0KzpGBPcU1RERERERERERETkdKNwU0RETlltyQxBr0U6lyeetkkeDjTtvDPmMSyPSW/GHnO93/JQFLAoCniP+V4Y8BLyeY4LWl16D3Xyx2Sc5oZGvLEYma5ucvHkmK+X9voJZ1KUJ7oG91JWQvF5787KLFowBytYMOaxRURERERERERERM40CjdFROSU4rouPWmblp4+9rUnSeXyjG+3zWOZBuSPmjFpYBDyeygKeCkMWBQf/n4kxPRbniHHcfJ5eusaie+uI7HnwMD3XE+CSHkVm2ctpCQZxxzH/p0OBr3+AEsO7KKgJELxOXMpWjCn//vCOfhLoydw5yIiIiIiIiIiIiJnHoWbIiLyvounc7T0pGnq6aOlJ01vtn+mZSJj4zguPmt8y64ahoHfMvFbJo4LIZ+H6xZNpchvEQ5YWKMs45pL9JLcX98fYu45QGLPAZL76nGyuSHrZ3c00REupr60kmjv6AGnJ+DHW15CT7SMD04v5tb/7xbCU0rHdY8iIiIiIiIiIiIiZyOFmyIiMsB2HOo6UrzREKMtmSFjO/gtk4qwn4tmRJldFhw1GByLZMamqbuPlnia5p40yczQoWHIb9GVzAwbblr/f3t3HiVXWed//HNv3Vq7eu900kl3pwMkAQwSTGJAwbAjWyAq/oQccUQMegAR9agjZ1BmhGHAII7oIAyEgIdxhk320cO+CIGEEcISCFlIOumkk07vtd7l90d1VzrpvdNbpd+vc+65T9V97u3nVvdznq761vN9fKaiQUshy1TQ8mUDmn6fqc7ssTtbE5o1KV/VxZFu5zuplNo3b1Pbhi1q3bBFbRu2qG3jFiXqGwZ1Pz7P07xP1kmSPimrUF4yoVA6KUOZQGawrETBsmKFyooVKC1SzOdXUzyt4yuLtPioil5niwIAAAAAAAAA9kVwEwAg23W1ZkuTXt3YoMZYSgHLUF7AkmVKacfVR7ta9W5di4ojAX3+kFLNqy4aVJCzLWmrrjmh7S1xbW9OqDXRczBzfxUFIdW3JuR5ngzDkGWaioYs5QczW8jvk9FHzlrP85S0XR1TWaj2LdszAcyNnUHMrWrfWie5A1+/sy9+19Gi9B5tL6rQh+UzFcsrUKQoqmhBnixTclypLW0rlfZU7De1+Kipg34dAQAAAAAAAGCiI7gJABNc0nb06Dvb9fa2ZhVH/KosCsnYL2IYDVryPE+tSVuPrd2uLY2xPmccxlK2tjdnZmXWtcTVHB9YMHN/kwuCmtISUijg05T8kML9BjMluz2mdFOLko0tamxsldPcoo3L/1WbEskhtaEnZsCv6KHVyp9Zo4KZNcqfNUP5h02XFQlL6n0GbGVR/rDOgAUAAAAAAACAiYbgJgBMYLbr6tF3tuudbS2qLArLZ/YeOTQMQwUhv/IClt6ubZYkLTl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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IC = np.zeros((Nf))\n", - "for i in range(M):\n", - " IC += data['X'][:,2*M+i] \n", - "t = data['t']; t1=int(Nf/(8))\n", - "\n", - "fig = plt.figure(num=None, figsize=(28, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 26})\n", - "\n", - "plt.plot(t, IC, '-', lw=4, color='#A60628', label='forecast', alpha=0.8)\n", - "#plt.xticks(np.arange(0, 200, 14),('4 Mar','18 Mar','1 Apr','15 Apr','29 Apr','13 May','27 May','10Jun'));\n", - "plt.fill_between(t[4*t1:], 0, 6000, color=\"#A60628\", alpha=0.2)\n", - "\n", - "\n", - "\n", - "my_data = np.genfromtxt('../data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3] - my_data[:,1]\n", - "\n", - "plt.plot(cases, 'o-', lw=4, color='#348ABD', ms=16, label='data', alpha=0.5)\n", - "plt.legend(fontsize=26, loc='upper left'); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Infected individuals');\n", - "plt.ylim(0, 600); plt.xlim(0, Tf);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.3" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/deterministic/contactMatrix/ex03-M=4.ipynb b/examples/deterministic/contactMatrix/ex03-M=4.ipynb index bb13f18e..093a316f 100644 --- a/examples/deterministic/contactMatrix/ex03-M=4.ipynb +++ b/examples/deterministic/contactMatrix/ex03-M=4.ipynb @@ -172,7 +172,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -186,9 +186,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/examples/deterministic/contactMatrix/ex04-non-normal-transients.ipynb b/examples/deterministic/contactMatrix/ex04-non-normal-transients.ipynb index 21a1fc2f..309ba32c 100644 --- a/examples/deterministic/contactMatrix/ex04-non-normal-transients.ipynb +++ b/examples/deterministic/contactMatrix/ex04-non-normal-transients.ipynb @@ -326,7 +326,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -340,7 +340,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/contactMatrix/ex05-infectious-disease-transient.ipynb b/examples/deterministic/contactMatrix/ex05-infectious-disease-transient.ipynb index 41d823d0..815898b1 100644 --- a/examples/deterministic/contactMatrix/ex05-infectious-disease-transient.ipynb +++ b/examples/deterministic/contactMatrix/ex05-infectious-disease-transient.ipynb @@ -261,7 +261,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -275,7 +275,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/contactMatrix/ex06-age-contact-structures-uk-india-italy.ipynb b/examples/deterministic/contactMatrix/ex06-age-contact-structures-uk-india-italy.ipynb index f4a177ba..ca5e4a54 100644 --- a/examples/deterministic/contactMatrix/ex06-age-contact-structures-uk-india-italy.ipynb +++ b/examples/deterministic/contactMatrix/ex06-age-contact-structures-uk-india-italy.ipynb @@ -201,7 +201,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -215,7 +215,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/contactMatrix/ex11-superSpreader.ipynb b/examples/deterministic/contactMatrix/ex11-superSpreader.ipynb index 05fd2c5e..9a054d00 100644 --- a/examples/deterministic/contactMatrix/ex11-superSpreader.ipynb +++ b/examples/deterministic/contactMatrix/ex11-superSpreader.ipynb @@ -279,7 +279,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -293,9 +293,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/examples/deterministic/contactMatrix/ex12-SEIR-fastest-growing-mode.ipynb b/examples/deterministic/contactMatrix/ex12-SEIR-fastest-growing-mode.ipynb index ee4beaeb..56585e37 100644 --- a/examples/deterministic/contactMatrix/ex12-SEIR-fastest-growing-mode.ipynb +++ b/examples/deterministic/contactMatrix/ex12-SEIR-fastest-growing-mode.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -14,7 +14,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -42,7 +42,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -79,22 +79,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "Nf = 1200\n", "Tf = 600\n", @@ -131,29 +118,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "-4745.061354272068\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "Nf = 1200\n", "Tf = 600\n", @@ -216,6 +183,13 @@ "plt.show() " ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, @@ -226,7 +200,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -240,7 +214,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/contactMatrix/ex13-M2.ipynb b/examples/deterministic/contactMatrix/ex13-M2.ipynb index fd455819..4e368274 100644 --- a/examples/deterministic/contactMatrix/ex13-M2.ipynb +++ b/examples/deterministic/contactMatrix/ex13-M2.ipynb @@ -15,7 +15,7 @@ "\n", "\\begin{align}\n", "\\dot S_i &= -\\lambda_i(t)S_i \\\\\n", - "\\dot I_i &= \\lambda(t)_iI_i - \\gamma I_i \\\\\n", + "\\dot I_i &= \\lambda_i(t)S_i - \\gamma I_i \\\\\n", "\\dot R_i &= \\gamma I_i \n", "\\end{align}\n", "\n", @@ -165,7 +165,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -179,9 +179,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/examples/deterministic/ex01b_Model.ipynb b/examples/deterministic/ex01_Model.ipynb similarity index 99% rename from examples/deterministic/ex01b_Model.ipynb rename to examples/deterministic/ex01_Model.ipynb index bde6db4b..17b2a3c4 100644 --- a/examples/deterministic/ex01b_Model.ipynb +++ b/examples/deterministic/ex01_Model.ipynb @@ -668,7 +668,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -682,7 +682,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/ex01a-SIR.ipynb b/examples/deterministic/ex01a-SIR.ipynb deleted file mode 100644 index 3156195e..00000000 --- a/examples/deterministic/ex01a-SIR.ipynb +++ /dev/null @@ -1,356 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## The SIR model\n", - "\n", - "The SIR model of epidemiology partitions the population into three compartments: susceptibles, S, who can catch the disease; infectives, I, who have already caught the disease and infect susceptibles; and removed individuals, R. Since the disease is assumed not to be fatal, the sum $N=S+I+R$ remains constant. The rate at which the susceptibles get infected is \n", - "$$\n", - "\\lambda(t) = \\frac{\\beta I}{N}\n", - "$$\n", - "where the parameter $\\beta$ is the probability of infection on contact. The infected individuals remove from the disease at a rate $\\gamma$. Then, the ordinary differential equations of the SIR model are\n", - "\n", - "\\begin{align}\n", - "\\dot S &= -\\lambda(t)S \\\\\n", - "\\dot I &= \\lambda(t)S - \\gamma I \\\\\n", - "\\dot R &= \\gamma I \n", - "\\end{align}\n", - "\n", - "This example integrates the above equations to obtain what is called the **epidemic curve**: a plot of the number of susceptibles and infectives as a function of time. " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import pyross\n", - "import matplotlib.pyplot as plt\n", - "#from matplotlib import rc; rc('text', usetex=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "M = 1 # the SIR model has no age structure\n", - "Ni = 1000*np.ones(M) # so there is only one age group \n", - "N = np.sum(Ni) # and the total population is the size of this age group\n", - "\n", - "beta = 0.2 # infection rate \n", - "gIa = 0.1 # removal rate of asymptomatic infectives \n", - "gIs = 0.1 # removal rate of symptomatic infectives \n", - "alpha = 0 # fraction of asymptomatic infectives \n", - "fsa = 1 # Fraction by which symptomatic individuals do not self isolate\n", - "\n", - "\n", - "Ia0 = np.array([0]) # the SIR model has only one kind of infective \n", - "Is0 = np.array([1]) # we take these to be symptomatic \n", - "R0 = np.array([0]) # and assume there are no removed individuals initially \n", - "S0 = N-(Ia0+Is0+R0) # so that the initial susceptibles are obtained from S + Ia + Is + R = N\n", - "\n", - "# there is no contact structure\n", - "def contactMatrix(t): \n", - " return np.identity(M) \n", - "\n", - "# duration of simulation and data file\n", - "Tf = 160; Nt=160; \n", - "\n", - "# instantiate model\n", - "parameters = {'alpha':alpha, 'beta':beta, 'gIa':gIa, 'gIs':gIs,'fsa':fsa}\n", - "model = pyross.deterministic.SIR(parameters, M, Ni)\n", - "\n", - "# simulate model \n", - "#data = model.simulate(S0, Ia0, Is0, contactMatrix, Tf, Nt)\n", - "data = model.simulator(np.concatenate((S0, Ia0, Is0)), contactMatrix, Tf, Nt) # another possibility" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# plot the data and obtain the epidemic curve\n", - "S = data['X'][:,0].flatten()\n", - "Ia = data['X'][:,1].flatten()\n", - "Is = data['X'][:,2].flatten()\n", - "t = data['t']\n", - "\n", - "\n", - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "\n", - "plt.fill_between(t, 0, S/N, color=\"#348ABD\", alpha=0.3)\n", - "plt.plot(t, S/N, '-', color=\"#348ABD\", label='$S$', lw=4)\n", - "\n", - "plt.fill_between(t, 0, Is/N, color='#A60628', alpha=0.3)\n", - "plt.plot(t, Is/N, '-', color='#A60628', label='$I$', lw=4)\n", - "\n", - "R=N-S-Ia-Is; plt.fill_between(t, 0, R/N, color=\"dimgrey\", alpha=0.3)\n", - "plt.plot(t, R/N, '-', color=\"dimgrey\", label='$R$', lw=4)\n", - "\n", - "plt.legend(fontsize=26); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Fraction of compartment value')\n", - "plt.xlabel('Days');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Plot the same epidemic curve using utils method" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "data = model.simulate(S0, Ia0, Is0, contactMatrix, Tf, Nt)\n", - "#data = model.simulator(np.concatenate((S0, Ia0, Is0)), contactMatrix, Tf, Nt) # another possibility\n", - "pyross.utils.plotSIR(data)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Plot the effective basic reproductive ratio $\\mathcal R_0^{\\text{eff}}(t)$ as a function of time" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "\n", - "C=np.identity(M); contactMatrix = pyross.contactMatrix.SIR(0.25*C, 0.25*C, 0.25*C, 0.25*C)\n", - "r0de = contactMatrix.basicReproductiveRatio(data, state='dynamic')\n", - "\n", - "plt.fill_between(t, 0, t*0+1, color=\"dimgrey\", alpha=0.2); plt.ylabel('Basic reproductive ratio')\n", - "plt.plot(r0de, '*', color='#A60628')\n", - "plt.xlabel('Days'); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True);\n", - "plt.yticks(np.arange(0, 3, step=0.5)); plt.ylim(0,2.2);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "---\n", - "\n", - "\n", - "\n", - "## The SIR model with two age groups\n", - "\n", - "The partitioning of the population can be refined to include other attributes relevant to the disease. One of the most important of these is the age. Let us assume we partition the population into two age groups, children and adults, and label them by the index $i=1,2$. Children can catch the infection from other children or from adults; likewise, adults can catch the infection from other adults or from children. Calling their respective rates of infection $\\lambda_1(t)$ and $\\lambda_2(t)$ we get\n", - "\\begin{align}\n", - "\\lambda_1(t) = \\beta(C_{11}\\frac{I_1}{N_1} + C_{12}\\frac{I_2}{N_2})S_1\\\\\n", - "\\lambda_2(t) = \\beta(C_{21}\\frac{I_1}{N_1} + C_{22}\\frac{I_2}{N_2})S_2\n", - "\\end{align}\n", - "where $C_{ij}$ are contact matrices, quantifying how much each age group interacts with the other. The ordinary differential equations of this age-structured SIR model are \n", - "\n", - "\\begin{align}\n", - "\\dot S_i &= -\\lambda_i(t)S_i \\\\\n", - "\\dot I_i &= \\lambda(t)_iI_i - \\gamma I_i \\\\\n", - "\\dot R_i &= \\gamma I_i \n", - "\\end{align}\n", - "\n", - "Again, for each $i$ the sum $N_i = S_i + I_i + R_i$ remains constant. What do we expect qualitatively ? The group that has a greater rate will catch the disease faster and catch more of it. This depends on how the entries of the contact matrix are distributed. \n", - "\n", - "This example integrates the above equations to **epidemic curve** for both the children and the adults. We see that they have unequal rates of infection. " - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The basic reproductive ratio for these parameters is 0.0\n" - ] - } - ], - "source": [ - "M = 2 # the population has two age groups\n", - "N = 1000000 # and this is the total population\n", - "\n", - "beta = 0.0131 # infection rate\n", - "gIa = 1./7 # removal rate of asymptomatic infectives \n", - "gIs = 1./7 # removal rate of asymptomatic infectives \n", - "alpha = 0 # fraction of asymptomatic infectives \n", - "fsa = 1 # Fraction by which symptomatic individuals do not self isolate\n", - "\n", - "\n", - "Ni = np.zeros((M)) # population in each group\n", - "fi = np.zeros((M)) # fraction of population in age age group\n", - "\n", - "# set the age structure\n", - "fi = np.array((0.25, 0.75)) \n", - "for i in range(M):\n", - " Ni[i] = fi[i]*N\n", - " \n", - "# set the contact structure\n", - "C = np.array(([18., 9.], [3., 12.]))\n", - " \n", - " \n", - "Ia_0 = np.array((1,1)) # each age group has asymptomatic infectives\n", - "Is_0 = np.array((1,1)) # and also symptomatic infectives \n", - "R_0 = np.array((0,0)) # there are no removed individuals initially\n", - "S_0 = Ni - (Ia_0 + Is_0 + R_0)\n", - "\n", - "\n", - "# matrix for linearised dynamics\n", - "L = np.zeros((M, M))\n", - "for i in range(M):\n", - " for j in range(M):\n", - " L[i,j]=C[i,j]*Ni[i]/Ni[j]\n", - "\n", - "L = (alpha*beta/gIs)*L\n", - "\n", - "# the basic reproductive ratio\n", - "r0 = np.max(np.linalg.eigvals(L))\n", - "\n", - "print(\"The basic reproductive ratio for these parameters is\", r0)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "# duration of simulation and data file\n", - "Tf=200; Nf=2000; filename='this.mat'\n", - "\n", - "# the contact structure is independent of time \n", - "def contactMatrix(t):\n", - " return C\n", - "\n", - "# instantiate model\n", - "parameters = {'alpha':alpha, 'beta':beta, 'gIa':gIa, 'gIs':gIs,'fsa':fsa}\n", - "model = pyross.deterministic.SIR(parameters, M, Ni)\n", - "\n", - "\n", - "# simulate model\n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "IK = data.get('X')[:,2*M].flatten()\n", - "IA = data.get('X')[:,2*M+1].flatten()\n", - "t = data.get('t') " - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "\n", - "plt.fill_between(t, 0, IK/Ni[0], color=\"#348ABD\", alpha=0.3)\n", - "plt.plot(t, IK/Ni[0], '-', color=\"#348ABD\", label='$Children$', lw=4)\n", - "\n", - "plt.fill_between(t, 0, IA/Ni[1], color='#A60628', alpha=0.3)\n", - "plt.plot(t, IA/Ni[1], '-', color='#A60628', label='$Adults$', lw=4)\n", - "\n", - "plt.legend(fontsize=26); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.3" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/examples/deterministic/ex02-Spp.ipynb b/examples/deterministic/ex02-Spp.ipynb index c0aa2f4c..dd7cbac6 100644 --- a/examples/deterministic/ex02-Spp.ipynb +++ b/examples/deterministic/ex02-Spp.ipynb @@ -290,7 +290,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -304,7 +304,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/ex03-SIR.ipynb b/examples/deterministic/ex03-SIR.ipynb new file mode 100644 index 00000000..b476fb13 --- /dev/null +++ b/examples/deterministic/ex03-SIR.ipynb @@ -0,0 +1,356 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The SIR model\n", + "\n", + "The SIR model of epidemiology partitions the population into three compartments: susceptibles, S, who can catch the disease; infectives, I, who have already caught the disease and infect susceptibles; and removed individuals, R. Since the disease is assumed not to be fatal, the sum $N=S+I+R$ remains constant. The rate at which the susceptibles get infected is \n", + "$$\n", + "\\lambda(t) = \\frac{\\beta I}{N}\n", + "$$\n", + "where the parameter $\\beta$ is the probability of infection on contact. The infected individuals remove from the disease at a rate $\\gamma$. Then, the ordinary differential equations of the SIR model are\n", + "\n", + "\\begin{align}\n", + "\\dot S &= -\\lambda(t)S \\\\\n", + "\\dot I &= \\lambda(t)S - \\gamma I \\\\\n", + "\\dot R &= \\gamma I \n", + "\\end{align}\n", + "\n", + "This example integrates the above equations to obtain what is called the **epidemic curve**: a plot of the number of susceptibles and infectives as a function of time. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import pyross\n", + "import matplotlib.pyplot as plt\n", + "#from matplotlib import rc; rc('text', usetex=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "M = 1 # the SIR model has no age structure\n", + "Ni = 1000*np.ones(M) # so there is only one age group \n", + "N = np.sum(Ni) # and the total population is the size of this age group\n", + "\n", + "beta = 0.2 # infection rate \n", + "gIa = 0.1 # removal rate of asymptomatic infectives \n", + "gIs = 0.1 # removal rate of symptomatic infectives \n", + "alpha = 0 # fraction of asymptomatic infectives \n", + "fsa = 1 # Fraction by which symptomatic individuals do not self isolate\n", + "\n", + "\n", + "Ia0 = np.array([0]) # the SIR model has only one kind of infective \n", + "Is0 = np.array([1]) # we take these to be symptomatic \n", + "R0 = np.array([0]) # and assume there are no removed individuals initially \n", + "S0 = N-(Ia0+Is0+R0) # so that the initial susceptibles are obtained from S + Ia + Is + R = N\n", + "\n", + "# there is no contact structure\n", + "def contactMatrix(t): \n", + " return np.identity(M) \n", + "\n", + "# duration of simulation and data file\n", + "Tf = 160; Nt=160; \n", + "\n", + "# instantiate model\n", + "parameters = {'alpha':alpha, 'beta':beta, 'gIa':gIa, 'gIs':gIs,'fsa':fsa}\n", + "model = pyross.deterministic.SIR(parameters, M, Ni)\n", + "\n", + "# simulate model \n", + "#data = model.simulate(S0, Ia0, Is0, contactMatrix, Tf, Nt)\n", + "data = model.simulator(np.concatenate((S0, Ia0, Is0)), contactMatrix, Tf, Nt) # another possibility" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the data and obtain the epidemic curve\n", + "S = data['X'][:,0].flatten()\n", + "Ia = data['X'][:,1].flatten()\n", + "Is = data['X'][:,2].flatten()\n", + "t = data['t']\n", + "\n", + "\n", + "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", + "plt.rcParams.update({'font.size': 22})\n", + "\n", + "\n", + "plt.fill_between(t, 0, S/N, color=\"#348ABD\", alpha=0.3)\n", + "plt.plot(t, S/N, '-', color=\"#348ABD\", label='$S$', lw=4)\n", + "\n", + "plt.fill_between(t, 0, Is/N, color='#A60628', alpha=0.3)\n", + "plt.plot(t, Is/N, '-', color='#A60628', label='$I$', lw=4)\n", + "\n", + "R=N-S-Ia-Is; plt.fill_between(t, 0, R/N, color=\"dimgrey\", alpha=0.3)\n", + "plt.plot(t, R/N, '-', color=\"dimgrey\", label='$R$', lw=4)\n", + "\n", + "plt.legend(fontsize=26); plt.grid() \n", + "plt.autoscale(enable=True, axis='x', tight=True)\n", + "plt.ylabel('Fraction of compartment value')\n", + "plt.xlabel('Days');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot the same epidemic curve using utils method" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", + "plt.rcParams.update({'font.size': 22})\n", + "\n", + "data = model.simulate(S0, Ia0, Is0, contactMatrix, Tf, Nt)\n", + "#data = model.simulator(np.concatenate((S0, Ia0, Is0)), contactMatrix, Tf, Nt) # another possibility\n", + "pyross.utils.plotSIR(data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot the effective basic reproductive ratio $\\mathcal R_0^{\\text{eff}}(t)$ as a function of time" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", + "\n", + "C=np.identity(M); contactMatrix = pyross.contactMatrix.SIR(0.25*C, 0.25*C, 0.25*C, 0.25*C)\n", + "r0de = contactMatrix.basicReproductiveRatio(data, state='dynamic')\n", + "\n", + "plt.fill_between(t, 0, t*0+1, color=\"dimgrey\", alpha=0.2); plt.ylabel('Basic reproductive ratio')\n", + "plt.plot(r0de, '*', color='#A60628')\n", + "plt.xlabel('Days'); plt.grid() \n", + "plt.autoscale(enable=True, axis='x', tight=True);\n", + "plt.yticks(np.arange(0, 3, step=0.5)); plt.ylim(0,2.2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "---\n", + "\n", + "\n", + "\n", + "## The SIR model with two age groups\n", + "\n", + "The partitioning of the population can be refined to include other attributes relevant to the disease. One of the most important of these is the age. Let us assume we partition the population into two age groups, children and adults, and label them by the index $i=1,2$. Children can catch the infection from other children or from adults; likewise, adults can catch the infection from other adults or from children. Calling their respective rates of infection $\\lambda_1(t)$ and $\\lambda_2(t)$ we get\n", + "\\begin{align}\n", + "\\lambda_1(t) = \\beta(C_{11}\\frac{I_1}{N_1} + C_{12}\\frac{I_2}{N_2})S_1\\\\\n", + "\\lambda_2(t) = \\beta(C_{21}\\frac{I_1}{N_1} + C_{22}\\frac{I_2}{N_2})S_2\n", + "\\end{align}\n", + "where $C_{ij}$ are contact matrices, quantifying how much each age group interacts with the other. The ordinary differential equations of this age-structured SIR model are \n", + "\n", + "\\begin{align}\n", + "\\dot S_i &= -\\lambda_i(t)S_i \\\\\n", + "\\dot I_i &= \\lambda_i(t)I_i - \\gamma I_i \\\\\n", + "\\dot R_i &= \\gamma I_i \n", + "\\end{align}\n", + "\n", + "Again, for each $i$ the sum $N_i = S_i + I_i + R_i$ remains constant. What do we expect qualitatively ? The group that has a greater rate will catch the disease faster and catch more of it. This depends on how the entries of the contact matrix are distributed. \n", + "\n", + "This example integrates the above equations to **epidemic curve** for both the children and the adults. We see that they have unequal rates of infection. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The basic reproductive ratio for these parameters is 0.0\n" + ] + } + ], + "source": [ + "M = 2 # the population has two age groups\n", + "N = 1000000 # and this is the total population\n", + "\n", + "beta = 0.0131 # infection rate\n", + "gIa = 1./7 # removal rate of asymptomatic infectives \n", + "gIs = 1./7 # removal rate of asymptomatic infectives \n", + "alpha = 0 # fraction of asymptomatic infectives \n", + "fsa = 1 # Fraction by which symptomatic individuals do not self isolate\n", + "\n", + "\n", + "Ni = np.zeros((M)) # population in each group\n", + "fi = np.zeros((M)) # fraction of population in age age group\n", + "\n", + "# set the age structure\n", + "fi = np.array((0.25, 0.75)) \n", + "for i in range(M):\n", + " Ni[i] = fi[i]*N\n", + " \n", + "# set the contact structure\n", + "C = np.array(([18., 9.], [3., 12.]))\n", + " \n", + " \n", + "Ia_0 = np.array((1,1)) # each age group has asymptomatic infectives\n", + "Is_0 = np.array((1,1)) # and also symptomatic infectives \n", + "R_0 = np.array((0,0)) # there are no removed individuals initially\n", + "S_0 = Ni - (Ia_0 + Is_0 + R_0)\n", + "\n", + "\n", + "# matrix for linearised dynamics\n", + "L = np.zeros((M, M))\n", + "for i in range(M):\n", + " for j in range(M):\n", + " L[i,j]=C[i,j]*Ni[i]/Ni[j]\n", + "\n", + "L = (alpha*beta/gIs)*L\n", + "\n", + "# the basic reproductive ratio\n", + "r0 = np.max(np.linalg.eigvals(L))\n", + "\n", + "print(\"The basic reproductive ratio for these parameters is\", r0)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# duration of simulation and data file\n", + "Tf=200; Nf=2000; filename='this.mat'\n", + "\n", + "# the contact structure is independent of time \n", + "def contactMatrix(t):\n", + " return C\n", + "\n", + "# instantiate model\n", + "parameters = {'alpha':alpha, 'beta':beta, 'gIa':gIa, 'gIs':gIs,'fsa':fsa}\n", + "model = pyross.deterministic.SIR(parameters, M, Ni)\n", + "\n", + "\n", + "# simulate model\n", + "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "IK = data.get('X')[:,2*M].flatten()\n", + "IA = data.get('X')[:,2*M+1].flatten()\n", + "t = data.get('t') " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", + "plt.rcParams.update({'font.size': 22})\n", + "\n", + "\n", + "plt.fill_between(t, 0, IK/Ni[0], color=\"#348ABD\", alpha=0.3)\n", + "plt.plot(t, IK/Ni[0], '-', color=\"#348ABD\", label='$Children$', lw=4)\n", + "\n", + "plt.fill_between(t, 0, IA/Ni[1], color='#A60628', alpha=0.3)\n", + "plt.plot(t, IA/Ni[1], '-', color='#A60628', label='$Adults$', lw=4)\n", + "\n", + "plt.legend(fontsize=26); plt.grid() \n", + "plt.autoscale(enable=True, axis='x', tight=True)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.9" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/examples/deterministic/ex03-age-structured-SIR-for-India.ipynb b/examples/deterministic/ex03-age-structured-SIR-for-India.ipynb deleted file mode 100644 index e25dc405..00000000 --- a/examples/deterministic/ex03-age-structured-SIR-for-India.ipynb +++ /dev/null @@ -1,521 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Age-structured SIR model for India\n", - "\n", - "We can now generalise the model in example-2 to more than two age groups. Assume that the population has been partitioned into $i=1,\\ldots, M$ age groups and that we have available the $M\\times M$ contact matrix $C_{ij}$. These are a sum of contributions from contacts at home, workplace, schools and all other public spheres. Using superscripts $H$, $W$, $S$ and $O$ for each of these, we write the contact matrix as\n", - "$$\n", - "C_{ij} = C^H_{ij} + C^W_{ij} + C^S_{ij} + C^O_{ij}\n", - "$$\n", - "We read in these contact matrices from the data sets provided in the paper *Projecting social contact matrices in 152 countries using contact surveys and demographic data* by Prem et al, sum them to obtain the total contact matrix. We also read in the age distribution of India obtained from the *Population pyramid* website. The infection parameter $\\beta$ is unknown, so we fit it to the case data till 25th March. The hope is that this will take into account the fact that there are, in reality, asymptomatic infectives, and that the symptomatic cases are an understimate. Also, the model is being applied to the whole of India, where the well-mixedness of the population, implicit in a non-spatial model, breaks down. This type of fitting gets more accurate, though, when it is applied to more local regions, where the well-mixedness is a better assumption. We then run the simulation, assuming all initial cases are symptomatic, and remain so. This will be an underestimate in the initial stages but once the epidemic enters the non-linear phase, there will be must less sensitivity to the initial condition. At the end of the simulation, we extract the number of susceptibles remaining in each age group, and the difference with the initial number of susceptibles is the total number that are infected. We multiply this with mortality data from China to obtain mortality estimates. " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import pyross\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "M = 16 ## number of age-groups\n", - "\n", - "Ni = pyross.utils.getPopulation(\"India\", M)\n", - "N = np.sum(Ni) ## total population" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# contact matrices\n", - "CH, CW, CS, CO = pyross.contactMatrix.India()\n", - "\n", - "# matrix of total contacts\n", - "C=CH+CW+CS+CO" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The basic reproductive ratio for these parameters is (2.2369030223732516+0j)\n" - ] - } - ], - "source": [ - "beta = 0.01646692 # infection rate \n", - "gIa = 1./7 # removal rate of asymptomatic infectives \n", - "gIs = 1./7 # removal rate of symptomatic infectives \n", - "alpha = 0. # fraction of asymptomatic infectives \n", - "fsa = 1 # Fraction by which symptomatic individuals do not self isolate\n", - " \n", - " \n", - "# initial conditions \n", - "Is_0 = np.zeros((M)); Is_0[6:13]=3; Is_0[2:6]=1\n", - "\n", - "Ia_0 = np.zeros((M))\n", - "R_0 = np.zeros((M))\n", - "S_0 = Ni - (Ia_0 + Is_0 + R_0)\n", - "\n", - "\n", - "# matrix for linearised dynamics\n", - "L0 = np.zeros((M, M))\n", - "L = np.zeros((2*M, 2*M))\n", - "\n", - "for i in range(M):\n", - " for j in range(M):\n", - " L0[i,j]=C[i,j]*Ni[i]/Ni[j]\n", - "\n", - "L[0:M, 0:M] = alpha*beta/gIs*L0\n", - "L[0:M, M:2*M] = fsa*alpha*beta/gIs*L0\n", - "L[M:2*M, 0:M] = ((1-alpha)*beta/gIs)*L0\n", - "L[M:2*M, M:2*M] = fsa*((1-alpha)*beta/gIs)*L0\n", - "\n", - "\n", - "r0 = np.max(np.linalg.eigvals(L))\n", - "print(\"The basic reproductive ratio for these parameters is\", r0)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "# duration of simulation and data file\n", - "Tf=41; Nf=2000; \n", - "\n", - "# the contact structure is independent of time \n", - "def contactMatrix(t):\n", - " return C\n", - "\n", - "# intantiate model\n", - "parameters = {'alpha':alpha,'beta':beta, 'gIa':gIa,'gIs':gIs,'fsa':fsa}\n", - "model = pyross.deterministic.SIR(parameters, M, Ni)\n", - "\n", - "\n", - "# run model\n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t = data['t']; IC = np.zeros((Nf))\n", - "for i in range(M):\n", - " IC += data['X'][:,2*M+i]\n", - " \n", - "\n", - " \n", - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "plt.plot(t, IC, '-', lw=4, color='#A60628', label='forecast', alpha=0.8)\n", - "#plt.xticks(np.arange(0, Tf, 10), ('4 Mar', '14 Mar', '24 Mar', '3 Apr', '13 Apr', '23 Apr'));\n", - "\n", - "my_data = np.genfromtxt('../others/data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3] - my_data[:,1]\n", - "\n", - "\n", - "plt.plot(cases, 'o-', lw=4, color='#348ABD', ms=16, label='data', alpha=0.5)\n", - "\n", - "plt.legend(fontsize=26, loc='upper left'); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Infected individuals'); #plt.xlim(0, 40); plt.ylim(0, 9999);\n", - "#plt.savefig('/Users/rsingh/Desktop/2a.png', format='png', dpi=212)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 25., 27., 28., 31., 36., 41., 45., 55., 68., 75., 91.,\n", - " 92., 103., 120., 134., 155., 198., 256., 326., 397., 469., 551.])" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cases" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The basic reproductive ratio for these parameters is (2.2369030223732516+0j)\n" - ] - } - ], - "source": [ - "C=CH+CW+CS+CO\n", - "Tf=200; \n", - "\n", - "# matrix for linearised dynamics\n", - "L0 = np.zeros((M, M))\n", - "L = np.zeros((2*M, 2*M))\n", - "\n", - "for i in range(M):\n", - " for j in range(M):\n", - " L0[i,j]=C[i,j]*Ni[i]/Ni[j]\n", - "L[0:M, 0:M] = alpha*beta/gIs*L0\n", - "L[0:M, M:2*M] = fsa*alpha*beta/gIs*L0\n", - "L[M:2*M, 0:M] = ((1-alpha)*beta/gIs)*L0\n", - "L[M:2*M, M:2*M] = fsa*((1-alpha)*beta/gIs)*L0\n", - "\n", - "r0 = np.max(np.linalg.eigvals(L))\n", - "print(\"The basic reproductive ratio for these parameters is\", r0)\n", - "\n", - "\n", - "def contactMatrix(t):\n", - " return C\n", - "\n", - "\n", - "# start simulation\n", - "Nf=2000; \n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/tmp/ipykernel_8899/380327976.py:19: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"ro-\" (-> color='r'). The keyword argument will take precedence.\n", - " plt.plot(cases*10**(-6), 'ro-', lw=4, color='dimgrey', ms=16, label='data', alpha=0.5)\n" - ] - }, - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t = data.get('t'); IC = np.zeros((Nf)); SC = np.zeros((Nf))\n", - "for i in range(M):\n", - " SC += data.get('X')[:,0*M+i]\n", - " IC += data.get('X')[:,2*M+i]\n", - "\n", - " \n", - "\n", - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "plt.plot(t, SC*10**(-6), '-', lw=4, color='#348ABD', label='susceptible', alpha=0.8,)\n", - "plt.fill_between(t, 0, SC*10**(-6), color=\"#348ABD\", alpha=0.3)\n", - "\n", - "plt.plot(t, IC*10**(-6), '-', lw=4, color='#A60628', label='infected', alpha=0.8)\n", - "plt.fill_between(t, 0, IC*10**(-6), color=\"#A60628\", alpha=0.3)\n", - "\n", - "my_data = np.genfromtxt('../others/data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3] - my_data[:,1]\n", - "plt.plot(cases*10**(-6), 'ro-', lw=4, color='dimgrey', ms=16, label='data', alpha=0.5)\n", - "\n", - "plt.legend(fontsize=26); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Individuals (millions)')\n", - "plt.plot(t*0+t[np.argsort(IC)[-1]], -170+.4*SC*10**(-6), lw=4, color='g', alpha=0.8)\n", - "#plt.xticks(np.arange(0, 200, 30), ('4 Mar', '3 Apr', '3 May', '2 Jun', '2 Jul', '1 Aug', '31 Aug'));\n", - "#plt.savefig('/Users/rsingh/Desktop/2b.png', format='png', dpi=212)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ 25., 27., 28., 31., 36., 41., 45., 55., 68., 75., 91.,\n", - " 92., 103., 120., 134., 155., 198., 256., 326., 397., 469., 551.])" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "IC[np.argsort(IC)[-1]]\n", - "IC\n", - "cases" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.3200194129601194, 2.3369030001140376)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# matrix for linearised dynamics\n", - "L0 = np.zeros((M, M))\n", - "L = np.zeros((2*M, 2*M))\n", - "xind=[np.argsort(IC)[-1]]\n", - "rr = np.zeros((Tf))\n", - "\n", - "for tt in range(Tf):\n", - " Si = np.array((data['X'][tt*10,0:M])).flatten()\n", - " for i in range(M):\n", - " for j in range(M):\n", - " L0[i,j]=C[i,j]*Si[i]/Ni[j]\n", - " L[0:M, 0:M] = alpha*beta/gIs*L0\n", - " L[0:M, M:2*M] = fsa*alpha*beta/gIs*L0\n", - " L[M:2*M, 0:M] = ((1-alpha)*beta/gIs)*L0\n", - " L[M:2*M, M:2*M] = fsa*((1-alpha)*beta/gIs)*L0\n", - "\n", - " rr[tt] = np.real(np.max(np.linalg.eigvals(L)))\n", - " \n", - " \n", - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "plt.plot(t[::10], rr, 'o', lw=4, color='#A60628', label='suscetible', alpha=0.8,)\n", - "plt.fill_between(t, 0, t*0+1, color=\"dimgrey\", alpha=0.2); plt.ylabel('Basic reproductive ratio')\n", - "plt.ylim(np.min(rr)-.1, np.max(rr)+.1)\n", - "#plt.xticks(np.arange(0, 200, 30), ('4 Mar', '3 Apr', '3 May', '2 Jun', '2 Jul', '1 Aug', '31 Aug'));\n", - "#plt.savefig('/Users/rsingh/Desktop/test.png', format='png', dpi=212) " - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "plt.bar(np.arange(16),data.get('X')[0,0:M]*10**(-6), label='susceptible (initial)', alpha=0.8)\n", - "plt.bar(np.arange(16),data.get('X')[-1,0:M]*10**(-6), label='susceptible (final)', alpha=0.8)\n", - "\n", - "#plt.xticks(np.arange(-0.4, 16.45, 3.95), ('0', '20', '40', '60', '80'));\n", - "plt.xlim(-0.45, 15.45); plt.ylabel('Individuals (millions)'); plt.xlabel('Age')\n", - "plt.legend(fontsize=22); plt.axis('tight')\n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "#plt.savefig('/Users/rsingh/Desktop/3a.png', format='png', dpi=212)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "MM = np.array((0,0,.0,1,1,1,1,1,1,3.5,3.5,3.5,3.5,6,6,14.2)) \n", - "## Fatality Rate by AGE per 100 cases" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(num=None, figsize=(10, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "m1 = .01*MM*(data.get('X')[0,0:M]-data['X'][-1,0:M])\n", - "plt.bar(np.arange(16),m1*10**(-6), label='susceptible (final)', alpha=0.8)\n", - "\n", - "#plt.axis('tight'); plt.xticks(np.arange(-0.4, 16.45, 3.95), ('0', '20', '40', '60', '80'));\n", - "plt.xlim(-0.45, 15.45); plt.ylabel('Mortality (millions)'); plt.xlabel('Age')\n", - "\n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "#plt.savefig('/Users/rsingh/Desktop/3b.png', format='png', dpi=212)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "11616098.10332692" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "m1 = .01*MM*(data['X'][0,0:M]-data['X'][-1,0:M])\n", - "np.sum(m1)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "955584826.3460386" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "SC[0]-SC[-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "9007" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "900*10^7" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/deterministic/ex05-SEIR.ipynb b/examples/deterministic/ex04-SEIR.ipynb similarity index 99% rename from examples/deterministic/ex05-SEIR.ipynb rename to examples/deterministic/ex04-SEIR.ipynb index c692d961..f5220155 100644 --- a/examples/deterministic/ex05-SEIR.ipynb +++ b/examples/deterministic/ex04-SEIR.ipynb @@ -122,7 +122,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -136,9 +136,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/examples/deterministic/ex04-age-structured-SIR-india-with-interventions.ipynb b/examples/deterministic/ex04-age-structured-SIR-india-with-interventions.ipynb deleted file mode 100644 index 922e335d..00000000 --- a/examples/deterministic/ex04-age-structured-SIR-india-with-interventions.ipynb +++ /dev/null @@ -1,652 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Age-structured SIR model for India with social distancing\n", - "\n", - "In example-4 we ran the age-structured SIR model for India with the parameter $\\beta$ fitted to case data. We can now examine the effect of interventions, **for an idealised best-case**. We assume that lockdown **instantaneously** and **completely** removes all social contacts from the spheres of workplace, schools, and others. The contact matrix, then, is time-dependent, whose form we take to be\n", - "$$\n", - "C_{ij}(t) = C_{ij} + u(t)(C^W_{ij} + C^S_{ij} + C^O_{ij}) \n", - "$$\n", - "where $u(t)$ is a control function given by\n", - "$$\n", - "u(t) = \\frac{1}{2}\\left[\\tanh\\left(\\frac{t-t_{\\text{on}}}{t_w}\\right)-\\tanh\\left(\\frac{t-t_{\\text{off}}}{t_w}\\right)\\right]\n", - "$$\n", - "This function has three parameters: the time at which the social distancing is implemented, $t_{\\text on}$, the time at which it is lifted $t_{\\text {off}}$ and the **lag** between implementation and compliance $t_w$. In the best-case scenario, we assume that this lag is less than day, or in other words, the lockdown acts **instantaneously**. The function $u(t)$ is one in window $t_{\\text on} \\leq t \\leq t_{\\text{off}}$ and zero outside. We can multiply this by a scale factor $0\\leq \\epsilon \\leq 1$ as a measure of the efficacy of the social distancing. The value $\\epsilon =1$ reflects complete compliance; the value $\\epsilon=0$ reflects zero compliance. In the best-scenario, we assume $\\epsilon =1$ so there is no scale factor in the control function. \n", - "\n", - "We now numerically integrate as before, imposing controls of 21 days duration and lifting it afterwards. We also explore various other scenarios, with several periods of lockdown separated by periods of relaxation. The goal is to reduce the number of infectives. In the language of optimal control, our cost function is the number of infectives. We find that the 21 day lockdown will not reduce the number of infectives to a point where explicit contact tracing will be feasible. We take the number 10 to represent a point where social contact tracing may be feasible. This is dependent on region and the effectiveness with which such measures can be implemented. We find a longer lockdowns are needed to bring the number of infectives down to that level. " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import pyross\n", - "import matplotlib.pyplot as plt\n", - "from scipy.io import loadmat" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "M = 16 ## number of age-groups\n", - "\n", - "Ni = pyross.utils.getPopulation(\"India\", M)\n", - "N = np.sum(Ni) ## total population" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# contact matrices\n", - "CH, CW, CS, CO = pyross.contactMatrix.India()\n", - "\n", - "C=CH+CW+CS+CO" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### One closure" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "beta = 0.01646692 # contact rate parameter\n", - "gIa = 1./7 # removal rate of asymptomatic infectives \n", - "gIs = 1./7 # removal rate of symptomatic infectives \n", - "alpha = 0. # asymptomatic fraction\n", - "fsa = 1 # Fraction by which symptomatic individuals do not self isolate\n", - "\n", - "\n", - "# initial conditions \n", - "Is_0 = np.zeros((M)); Is_0[6:13]=3; Is_0[2:6]=1\n", - "Ia_0 = np.zeros((M))\n", - "R_0 = np.zeros((M))\n", - "S_0 = Ni - (Ia_0 + Is_0 + R_0)\n", - "\n", - "\n", - "parameters = {'alpha':alpha,'beta':beta, 'gIa':gIa,'gIs':gIs,'fsa':fsa}\n", - "model = pyross.deterministic.SIR(parameters, M, Ni)\n", - "\n", - "\n", - "# the contact matrix is time-dependent\n", - "def contactMatrix(t):\n", - " if t<21:\n", - " xx = C\n", - " elif 21<=t<42:\n", - " xx = CH\n", - " else:\n", - " xx = C\n", - " return xx\n", - "\n", - "\n", - "# start simulation\n", - "Tf=98; Nf=2000 \n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IC = np.zeros((Nf))\n", - "for i in range(M):\n", - " IC += data['X'][:,2*M+i] \n", - "t = data['t']; t1=int(Nf/(14))\n", - "\n", - "fig = plt.figure(num=None, figsize=(28, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 26})\n", - "\n", - "plt.plot(t, IC, '-', lw=4, color='#A60628', label='forecast', alpha=0.8)\n", - "#plt.xticks(np.arange(0, 200, 14),('4 Mar','18 Mar','1 Apr','15 Apr','29 Apr','13 May','27 May','10Jun'));\n", - "plt.fill_between(t[3*t1:6*t1], 0, 6000, color=\"#A60628\", alpha=0.2)\n", - "\n", - "my_data = np.genfromtxt('../others/data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3] - my_data[:,1]\n", - "\n", - "plt.plot(cases, 'o-', lw=4, color='#348ABD', ms=16, label='data', alpha=0.5)\n", - "plt.legend(fontsize=26, loc='upper left'); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Infected individuals'); plt.ylim(0, 6000); plt.xlim(0, 98);\n", - "#plt.savefig('/Users/rsingh/Desktop/4a.png', format='png', dpi=200)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "33892.23102865818" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "MM = np.array((0,0,.0,1,1,1,1,1,1,3.5,3.5,3.5,3.5,6,6,14.2)) \n", - "## Fatality Rate by AGE per 100 cases https://www.worldometers.info/coronavirus/coronavirus-age-sex-demographics/\n", - "m1 = .01*MM*(data['X'][430,0:M]-data['X'][-1,0:M])\n", - "np.sum(m1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Two closures" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "def contactMatrix(t):\n", - " if t<21:\n", - " xx = C\n", - " elif 21<=t<42:\n", - " xx = CH\n", - " elif 42<=t<47:\n", - " xx = C\n", - " elif 47<=t<75:\n", - " xx = CH\n", - " else:\n", - " xx = C\n", - " return xx\n", - "\n", - "# start simulation\n", - "Tf=98; Nf=980 \n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf, integrator='odeint', maxNumSteps=1000)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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ulrTJZ5ymmE7pFmWE1qhJKze7deumN954QzNmzJDb7db777+v999/v97xhmEoJiZGCxYsaDVtaQEAbZ/T41eJyye/s0re4lJJUkZFmSSp86TRstlsFmaHlhKZlKD+t1+rTQ89IyMUCseLvvpWib1z1OWCcyzMDgAAAAAAAE1V8t3mWi1pu5zPZz0wa/IylsmTJ2v16tUaN25ceLVmfV9jx47V119/rSlTpjRn7gCADm5fiUuSVLk3LxzLrKwucnamVUW7lti3p3pcdWmt+N5XFsm5fY8FGQEAAAAAAOBkHfr0q1qxLpPYbxNmTVq5ecTAgQO1fPlyrV+/XosXL9b69etVXFwsSUpPT9eQIUN04YUXaujQoc2SLAAANe09prgZHfAryV2l6Mw0pQzqZ2VqOAW6TB6rip37VLx6XThmhELaPudFnfG7uxWdltzA1QAAAAAAAGhN6mpJmzKElrSo7aSKm0cMGTJEQ4YMaY6pAAA4Lh5/UAfLPfJXVMl7uESSlFFRKpukzhNHy8Yem+2ezWZTn5tmypV/UO4Dh8Jxv7NS2+e8qEG/ulX2yEgLMwQAAAAAAMDxqqslbefzaEmL2vjkFwDQJuWWumTIUOXe/HDsyH6bXc6nJW1HERETrdN+/mNFxMaY4pW7c7XnpUUWZQUAAAAAAIATdfCTL2vFaEmLulDcBAC0SeGWtLtzJUkRoaBSXU5FpaUo5YzTrEwNp1hsl0z1u/UayWYzxQuXrdKhz1bWcxUAAAAAAABai1AwqMLPVplitKRFfShuAgDanEAwpLxSt3zlFfIWlUqS0ivLFWEY6nL+ObSk7YBSh56u7jOm1Irv+fc7qti599QnBAAAAAAAgONWWkdL2i7n05IWdWtwz83evXtLqt7TateuXbXiTXHsXAAAnKj8co8CoZAqd+8PxzK/b0mbNWWcRVnBat0unaSqvXkq+W5TOGYEg9r25L815Hc/V1RqsoXZAQAAAAAAoD4HP/2qVqzzRFrSom4NFjf37t0rqbogWVe8KY6dCwCAE7W3pEqGoXBx02YYSq8sU2xWJyUP6mdxdrCKzW5Xn5uvkvt/n5S7oDAc95c7tX3OvzXwV7fK7mjwrQ8AAAAAAABOsVAwqENLzVsLpQwdQEta1KvBT/jGjx9fZzGyvjgAAC0tZBjKLXHJV1ImX5lTkpTiqlBkKKguF4zl9amDc8TG6LSfX68Nf3hcQY83HK/YtU97X1qk3tdfbmF2AAAAAAAAOFbpd5vl//5zviO6nDfGomzQFjRY3Pzss89OKA4AQEsrrPDK7Q8e05K2et/NrMljrUoLrUhsVqb63nKNtj0+zxQ/9NlKxffMVucJo6xJDAAAAAAAALUc/ORLc8BmoyUtGmS3OgEAAE7EvhKXqSWtJGVUlim+V3cl9O1hYWZoTdLOHKjs6ZNrxff8+21V7Nx76hMCAAAAAABALaFgUIc+W2WKpQw5jZa0aBDFTQBAm7K3pEqewmL5K6skSYkel2L9PmVNpiUtzLKnna/UYQNNMSMQ0LYn5stbUmZNUgAAAAAAAAgr+WZD7Za0559jUTZoK5pU3HzqqadUWlra3LkAANCgMpdP5W6/edXm9y1pu1xAS1qY2ex29b35KsV0zjDF/c5Kbfv7PNOenAAAAAAAADj1CpZ8bg7Y7eoyif020bAmFTfvvPNOZWVlaebMmXr33XcVDAabOy8AAGrZW+KSYRiq3FNjv83KMiWd3kfx3bMszAytlSMuVgPuvkERsTGmeFXuAe187nUZoZBFmQEAAAAAAHRsQa9Ph5aZW9KmDR+k6IxUizJCW9HktrQ+n09vvfWWZsyYoa5du+qee+7Rd99915y5AQBgsq/EJfeBQgXdHklSjN+rBI9LWZPHWZwZWrPYrE7q97NZks38tqfkmw3KW/SJRVkBAAAAAAB0bIe/+EZBl8cUy5pyrkXZoC1pUnFzwYIFmjp1qhwOhwzD0OHDh/X4449r5MiRGjJkiB555BEdPHiwuXMFAHRgLl9AhRVeU0vazIoy2Ww2+vCjUalDBqjHVZfUiue98x8Vf73egowAAAAAAAA6toKPvjA9tkdFqvOksy3KBm1Jk4qbV1xxhd555x0dOHBAjz32mEaMGCHDMGQYhjZt2qT/+q//Uvfu3XXxxRfr9ddfl9fLnlYAgJOzr8SlUDCoyr154VhGRZlSh56umE7pFmaGtiJryjhljjurVnznP19T1b58CzICAAAAAADomPzOSh3+6ltTLOOc4YpMiLcoI7QlTW5LK0np6em66667tHr1am3atEn33XefunbtKsMwFAwGtWTJEl1zzTXq0qWLbr31Vq1YsaK58gYAdDD7Slxy5R1UyOeXJDmCAaW4KpR1IS1pcXxsNpt6/3iGEvv0MMVDfr+2Pv6CfOUVFmUGAAAAAADQsRz6bJUMf8AUoyUtjtdJFTdrOv300/Xwww8rNzdXH330kX70ox8pLi5OhmGovLxc//znPzV+/Hj169evuW4JAOgg/MGQ8svdqqjRkjajslwREXZ1njjawszQ1tgjI9X/5z9WdFqKKe4rKdP2J+Yr5PdbkxgAAAAAAEAHUrDkc9PjiPhYZZ4z3KJs0NY0W3HzCJvNpgsuuEDz58/XwYMHNW/ePE2aNEk2m02GYWj37t3NfUsAQDu3v9Qtv9dvah2aUVGq9LOGKColycLM0BZFJSfqtLtvkD0qyhSv2LVPu+ctlGEYFmUGAAAAAADQ/nkKi1Xy3SZTrPPE0YqIjqrnCsCs2YubNcXHx2vgwIE6/fTTlZCQ0JK3AgC0Y/tKXKrckycjGJQk2Y2Q0qvKlTWFlrRomvicrup781W14oe/XKOCxcstyAgAAAAAAKBjOPjJl9Ixv1ze9UJa0uL4OVpi0ry8PP373//W/PnztW3bNtO5mJiYlrglAKCdCoYM5Za6VLFzXziWWuVUdEyUOk0828LM0NaljzxD3S+bov1vfWSK71vwgWI6Zyht+CCLMgMAAAAAAGi/Cj4yt6SNSk1W2ojBFmWDtqjZVm66XC7Nnz9fF1xwgXr27Knf/OY32rp1qwzDkGEYGjNmjJ599lkVFBQ01y0BAB3AQadHlWUVchcUhmOZFWXqPHG0HLH8wgxOTrep5yt91FBz0DC049lXVLk3z5qkAAAAAAAA2qmqfflybjVvX9hl8jjZ7C3aaBTtzEmv3Pzkk080f/58vfXWW6qqqpKk8F5VPXv21I9+9CNdf/316tOnz8neCgDQAe0rdalyZ64pllFZpq4XTbAoI7QnNptNfW76oTyFxaqqUcwM+Xza+tg8nfHbOxWdlmJdggAAAAAAAO1IwUdf1Ip1vZCtp3BimlTc3LJli+bPn6+XXnpJ+fn5ko4WNBMSEjRz5kxdf/31mjCBD54BAE1nGIb2FlepYufecCzZXamk1ERahqLZRERH6bSfX6+Nf3xSvtLycNxf7tTWx57X4AduV0RMtIUZAgAAAAAAtH2GYdRqSRvbrYuSTu9rUUZoq5pU3Bw0aJBsNlu4oGm323X++efr+uuv1+WXX67Y2NhmTRIA0DEVV/lUlFcoX3lFOJZRUaauF0+gVQWaVXRasgb84kZteuhpBT3ecNy1v0Dbn35JA+66XraICAszBAAAAAAAaNucW3fJlXfQFMuaMk42m82ijNBWNfmTYcMwNGDAAP3f//2f9u3bp48++kjXXnsthU0AQLPZV+pSxY59plhmRam6/mC8RRmhPYvP6ap+P7tWspnfHpWt36q9r7xrUVYAAAAAAADtQ/77n9WKZU0599QngjavSSs3b7/9dl1//fU666yzmjsfAADC9hyuUOXuo/ttxnk96tK7qxJ6d7cwK7RnqUMHqNesadrz0tum+MFPvlRM5wxlTWYPCAAAAAAAgBMV9PlU8B/zfptJA3oroWc3izJCW9ak4uaTTz7Z3HkAAGBS6Q1o/9ZcBb2+cCyjskzdrr3AwqzQEXS54By5Dx3WwY9XmOJ7X3lPMZlpSh020KLMAAAAAAAA2qbDK75VwFlpinW9eKI1yaDNY8MyAECrtK/EpYqd5pa0nVxOdblgrEUZoSPpec1UpQ493Rw0Qtr+zMuq2pdvTVIAAAAAAABt1IEPPjM9tjki6JCFJqO4CQBolXbll6gq90D4cVTAr95D+yo6LcW6pNBh2Ox29fvZLMV172qKh7w+bX3seXlLyi3KDAAAAAAAoG3xlZar6KvvTLHMc0YoKiXJoozQ1jXYlvamm26SJNlsNj333HO14k1x7FwAABzLGwhqx7odMkKhcCyjskzZ119uYVboaCJiojXgFzdq4/8+IV+ZMxz3lTm19bHnNejXP5MjNsbCDAEAAAAAAFq/Ax99ISMYNMVoSYuT0WBxc968ebLZbJJkKkjWjDcFxU0AQEP2l7pVfkxL2i5BjzLPHWlRRuiootOSqwucDz2tUI39X137D2j7ky9qwD03yu5o0hbmAAAAAAAAHcKxLWkjkxKVec6Z1iSDdqHRtrSGYcgwjHrjTfkCAKAh27bnyXOoOPw4IhTS6WMGKyIqysKs0FHF9+imfrfOkmzmt03lm3do9/Nv8t4GAAAAAACgHhU796li+x5TLGvKONkjIy3KCO1Bg8XNUCgU/qov3pQvAADqEwiFtHn1VlMsrapc3X8w3qKMACntzIHqNWtarfjhL9do/8IlFmQEAAAAAADQ+uUfs2pToiUtTl6jKzcBADiV8ktcKtlhbknbPc6h1KGnW5QRUK3LBeeo60UTasXz3/tUB5eutCAjAAAAAACA1isUDKpg8XJTLL5XdyUN6G1RRmgv2CQKAGCpQCikPUUufbu/VIWVXm3bka+ChHRFxfiV6qpQvMeloeeNOKm9noHmkjPzIvlKylW0aq0pvufFtxWVnKi04YOsSQwAAAAAAKCVKV65Vr7SclOs28UT+JwPJ43iJgDAEoFQSGtyy7Rid7FKXT5FOWyKi3So5FCpQja7KqNjVRETr0SvS8XDhisQCslhp+EArGWz29XnJz+Ur7xCzq27jp4wQtrxzMsa+F+3KLFvD+sSBAAAAAAAaCVqtaS129X1B7W7YgEnik+JAQCnnDcQ1MK1+Vq04YBCRkjZKTHqnBgjw+uV31kpRyiomIBfMX6vkpLj9GFuhd5ad0DeQNDq1AHZIyN12s9/rLjsLqZ4yO/X1seel/vgYYsyAwAAAAAAaB38zkoVfr7aFMsYNVTRGakWZYT2pMGVmzfddFOz39Bms+m5555r9nkBAG1DIBTSO+sPaH2+U9kpsYqwH21DUbD7gGQY4cc2Sb16Zik5JVbr8qpbWFw2tCsrOGE5R1ysBtzzE23845Om9iqBKpe2PPKcBj94h6KSEy3MEAAAAAAAwDoHP/lShj9ginW9eKI1yaDdabC4OW/evBbpfUxxEwA6rjW5ZVqXX16rsGkY0uGDxaax0TYptWeWbHabuqXEaG1emXJS43R2z7RTnTZQS3Rask6/96fa+Kc5Cro94bi3qERbH3teg+6/VREx0RZmCAAAAAAAYI289z41PXYkxKnThLMsygbtTaNLXwzDaPCrKWMAAB1TIBTSit3FSo2LNBU2Jam8oEhun7ntbGanFNm+X6UZYbcpNS5SK3YXKxAKnbKcgYbEdeusAXffIJvD/PtiVXvztP2pfysUCNRzJQAAAAAAQPtUsWOvnJt3mmJdLhiriKgoizJCe9NgcTMUCtX7tW/fPp199tkyDEMXXHCBXnvtNe3du1cej0cej0f79u3T66+/rsmTJ8swDJ199tnKzc1ViA+kAaDD2lPkUqnLp8To2o0DCnbn1Ypl9ck2PU6MdqjU5dOeIleL5QicqKTTeqvvT6+sFS/bsE27/vm6DN77AAAAAACADiRv0Se1YtnTzrcgE7RXDbalrU9VVZUuvPBCbdu2Tc8++6xuvvnmWmO6d++u7t27a+bMmfrnP/+pW2+9VVOmTNHq1asVHx9/0okDANqeb/eXKsphq9XyPOQPqPhwuWQ/+rIUExej5Ixk0zibzaYoh03f7i9Vv04JpyRn4HhknD1MvjKn9r36niletGqtHAlx6nnt9BZp9Q8AAAAAANCaBL0+HViy3BRL6NtDSQP6WJQR2qNG29LW5YknntDWrVt13XXX1VnYPNZPf/pTXXfdddq2bZv+/ve/N+WWAIB2oLDSq/io2r9XU7YrT267OZ7ZJV111YLiIh0qrPS2VIpAk3W9cLyyLhxfK37wky+Vt+hjCzICAAAAAAA4tQ4tXalARZUp1n36BfzSN5pVk4qbr7/+umw2m2bNmnXc18yaNUuGYeiNN95oyi0BAO2ANxCSvY73MQV7zC1pbXa7OvfsXOccEfbqeYDWqMeVFytz7Iha8by3/6ODn35lQUYAAAAAAACnzrEtae1Rkcqacq5F2aC9alJxc8+ePZKkzMzM477myNjdu3c35ZYAgHYg2mFXyDDHfGUVKjtmJWZMapKSE2LrnCMYqp4HaI1sdrv63DhTqcMG1jq3599vq2jV2lOfFAAAAAAAwClQlXtApd9tMsU6TxqtyCS2l0LzatKnw8FgUNKJFSqPjA2FWG0DAB1Vp4RoVfkCpljZ1t1yR0abYplZ6XWu8JQklz+gTgnRdZ8EWgFbRIT633atEvv3Mp8wDO38x2sq27jdmsQAAAAAAABaUP67n9aKZU+/wIJM0N41qbjZt29fSdKcOXOO+5ojY49cCwDoeIZ3T5UvYMgwqpdvhgJBHdpXIKNGz/2ImGhldkmr83rDMOQNhDS8e+opyRdoKntUpAbcdYPiunc1xY1gUNuemK+KXbkWZQYAAAAAAND8QoGA8t9faorFZXeps7sVcLKaVNz84Q9/KMMwtGzZMt10001yuVz1jnW73frpT3+qzz77TDabTVdeeWWTkwUAtG29MuKUGhelCm/16s2qPXmqtDlMY2IyUpUcG1nn9RXegNLiotUrI67FcwVOliM+Vqff+xPFdEo3xUM+n7b+7V9y5R+yKDMAAAAAAIDmdXjFt/KVlpti3aZdIJutnvZswEloUnHznnvuUb9+/WQYhl544QX16dNH99xzj1577TUtXbpUn332mV577TXdc8896tOnj55//nlJ1as2f/GLXzRn/gCANsRht2ts73SVuvwKhgyVbd0lV1SNFrN2mzKy0hVRR0/aYMhQqcuvsb3T5bCz5ybahqjkRJ1+708VmZxoigeqXNryyD/lLSq1KDMAAAAAAIDmk7foY9NjW0SEul08waJs0N45Gh9SW0xMjP7zn/9oypQp2r59uw4dOqTHH39cjz/+eK2xR1oP9uvXTx999JFiYmJOLmMAQJs2IidFuaUufbMlX5WlVQolH21BG5WarLSk2qsygyFD+WUeDctO0YiclFOYLXDyYjql6/R7f6pNDz2toNsTjvtKy7X5L//QoF//TFEpSRZmCAAAAAAA0HSewmIVrVxrimWOG6nodLaWQsto8tKXnJwcrV27Vg8++KAyMzNlGEadXxkZGfrNb36jtWvXqkePHs2ZOwCgDXLY7Zp2Rpa65e9VYXKa/PYIGd+fO7YlrWEYcnr8yitza2h2sqadkcWqTbRJ8d2zNODuG2R3mH+vzFNYpM1/+Yf8lVUWZQYAAAAAAHBy8t/7VAqFTLHsaedblA06giat3DwiJiZGf/jDH/Tb3/5W3377rdavX6/i4mJJUnp6uoYMGaLhw4fL4Tip2wAA2pkIn0/9l7ynLX3P0sGUDHkio+WIilR0Qpz8waA8fsnlD8gXMJQaF6VpZ3TViJwUCpto05JO663+d/xIWx+fLxlH3/C7DxzSlkee08D7bpYjLtbCDAEAAAAAAE6MEQop791PTbHozDRljB5mTULoEJql6uhwODRq1CiNGjWqOaYDALRzBR99roqgXYk+t+IL98sVHSv/oIHKiI9WICRFO+zKTknU8O6p6pURR1ET7UbqsIHqe/NV2vmPVyXDCMer9uZp62PzdPrsmxQRE93ADAAAAAAAAK1H0VffyXPwsCmWPfV82fg8Dy2IJZUAgFPKMAztf+s/Kkys7rlvl5QU+v/s3Xd0VFXXBvDnTk0mvfcGKZSEroJKVWkiSBEVC4oNBQvYy6ufr11fsYKKDVBQBEEQpEsXBAKEQKghkN57JtPv90ckcrkTyhAyKc9vLdZK9jn3zI5Lhsnd9+xjRnRiJCb0joGni/r8CxC1cAF9usNmMuPknMWSeNXxDBz9bB46PHUfFGr+PSAiIiIiIiKi5i9zyRppQKFA2IiBzkmG2gyWzomIqElVHj6BqmMZKPbwro95xEbB30vHwia1GUH9r0bUHbfI4hVpx3HsiwWwWaxOyIqIiIiIiIiI6OLpcwtRvGOfJBZwbQ+4hgQ6KSNqKy5756Yoijh8+DDS09NRWVkJq/XCN+Puvfdeh17LYDBg1apV2LNnD5KTk3H69GkUFxejvLwcOp0O4eHh6N27N+6++24MHHhxTwb8+uuvmDt3Lvbu3YuioiL4+voiMTEREyZMwL333gulUnlR6xw9ehSzZs3CmjVrkJ2dDaVSiaioKIwYMQJTpkxBWFiYQz8zEVFrk7V0LWo0LqjR/nu2oGdCO0T7uTkxK6KmFzqkL2wmE7LOecKxbN8hpH+zELEP38EWLkRERERERETUbGUvXSs5dgcAIsYMcVI21JY4XNy0WCx477338Pnnn6OwsPCirxMEweHi5okTJzBmzBi7Y5WVlUhLS0NaWhq+++473HLLLZg/fz48PDzsztfr9bj99tuxYsUKSTw/Px/5+flYv349Zs+ejeXLlyMgIOC8ec2ePRtPPvkkDAaDJJ6amorU1FR88cUXmDdvHm65Rb5Dg4ioLTFXViNv3XYUefjWx1wC/aD180a0r86JmRE5R9iIQbAaTMj9Y6MkXvz3fig0arS7bywLnERERERERETU7FhNJmT/vkEScw0Ngv81XZ2UEbUlDhU3LRYLhg8fjg0bNkA8pyp/pQUGBqJ///7o2bMnoqOjERwcDHd3d+Tl5WHv3r34+uuvkZ2djd9//x2jRo3Chg0bIAiCbJ0JEybUFzZ79eqF6dOnIy4uDllZWZg5cyY2bNiAnTt3YsSIEdi6dSs0Go3dfJYsWYLJkydDFEV4enri+eefx4ABA2CxWPDHH3/go48+Qnl5OcaPH4+NGzeid+/eV/S/DxFRc5azajNsRhOKQnzqY54d2sFdq4afm/33WaLWTBAERI4bCpvRiPwNf0nGCrfuhtJFi6g7b7H7WYaIiIiIiIiIyFkK/twJc0WVJBYxZjAf0qYm4VBx84svvsD69esBAP7+/rj//vtx9dVXw9fXF4or+D9ux44dkZ+f3+ANvhEjRmD69OkYNGgQdu/ejY0bN2LVqlUYPny4ZN6SJUuwbNkyAMCAAQOwevVqaLVaAHWFzlGjRuGee+7BggULsGvXLsycORPTpk2TvV5NTQ2mTp0KURTh6uqKzZs3o1u3bvXj/fr1Q//+/XHzzTfDYDDg0UcfRXJy8hX9b0RE1FyJNhuyfl0Ng0qNSld3AIBCq4F7TASi/XQs3lCbJQgCoieMhNVoRtG23ZKxvHXbIKhViBw3jH9HiIiIiIiIiKjZyDznmB2FRo2wEYOclA21NQ4VN+fPnw8AiIuLw7Zt2y7YtrWxXMz5l+7u7pg2bRomTJgAANi4caOsuPnOO+8AqLuZOHv27PrC5hkKhQIzZ87E8uXLUV1djffeew9PPvmkrCg5Z84c5OXlAQCefvppSWHzjGHDhmHChAmYP38+9u/fj1WrVuHmm2++6J+ZiKi1KP47BfqsPBT7/HuguGdsNBQqJVvSUpsnKBRof/9Y2EwmlOxKkYzl/rEJgkKBiDFDWOAkIiIiIiIiIqerPJaBitSjkljwDddC42X/mECixubQFsLDhw9DEAS88sorTVbYvBSenp71X597DuapU6ewZ88eAMDAgQMRFxdndw1vb2+MGzcOAFBQUICtW7fK5ixatKj+64ceeqjBfM4eW7x48UX8BERErU/mL38AAIrcvetjXp3aw0WlRLCni5OyImo+BIUCsQ/dAZ+uHWVjOSv+RPZv65yQFRERERERERGRVNbStbJYxNghTsiE2iqHiptWqxUAkJiY2KjJNJYff/yx/utOnTpJxrZs2VL/9cCBA8+7zqBB/26hPvs6oO7c0R07dgAA2rdvj8jIyAbX6dOnD1xcXOyuQ0TUFtRk5qJ45z6YFUqUudU9gOIWEQK1pzuifHVQcDcaEQBAoVIifsrd8Ookf/gqe/l6ZC1jgZOIiIiIiIiInMdcXYO8NdLNYB4J7ezeyyC6UhwqbkZFRQGoO3OyObBYLMjJyak/X/Pnn38GAAQFBeGuu+6SzD106FD91+cWPs919vjZ1wHA8ePHYTKZLmodjUaD2NhYAEBGRgb0ev0FfiIiotYlc9EqAECJuzfEfwqZXp3rPvBE+bElLdHZFGo1Ojx5n/0C52/rkP37BidkRUREREREREQE5K3eAmuttGNmJI/SoSbmUHFz1KhRAIBNmzY1Zi6X5MiRIxAEAYIgQK1WIzw8HMOHD8eqVXU30MPCwvD7779LWtQCQGZmZv3X59ttCQARERF2r7vUdc5eSxRFZGdnX3A+EVFrYanRI+ePjQCAIg9vAIDG2xOuoUFQKRQI93J1YnZEzZNCo0bCExPh2aG9bCxryRrkrNzU9EkRERERERERUZsmiiIyl0hb0qrcdQgZfL2TMqK2SuXIRdOmTcP333+Pjz/+GBMnTpQUAZ1NpVLh1VdfxRNPPAEvLy/ZeFVVVf3X7u7u513Lw+Pfw2/Pvu5S17nQWmfMmDEDM2bMqP9er9djzZo1F1ybiKg5M27ZC0N+IayCArkqF1iNRlh93ZGeno5AFxEbKo9eeBEnMhgMjfJebDUYIeRXAHyIjS6BOH4gDN9VwpqRI4kf/uk3nKwohmZATydlRtR0TFYr/s7NcG4SIiDabFCuX+/cPNoI/ptJ1Lw0i/dhImq++Dnpimus+xJEjcFyIgs1KdIul5qusVi/eZNzEqI2y6HiZkBAAJYvX45bbrkF119/PT777DOMHDmysXM7r3bt2iE1NRVAXVvawsJCbN68GbNnz8Ybb7yBgwcP4osvvoCvr6/kutra2vqvNRrNeV9Dq9Xave5S17nQWmdMnz4d06dPr/8+ICAAQ4bwEF4iarlEmw3bvl0Bvacnit29oNLpoNGoEX39NVCoVRgQF4D4QI8LL+REa9asuez3YpvVivz1f0Hr6wVBqWykzKitsL78BA7P+A5Vx8+5qbhuFyL8ghA6pK9zEiNqIn/nZuCa0Bin5iBarTCWViD4xmuh4Pv4FcV/M4man+bwPkxEzRc/J115jXFfgqix7PvzfRSe0y3z+hcfh1tUmJMyorbKoeLmoEGDAADe3t44duwYRo8eDS8vL8THx0OnO//ZaYIgYMOGyz8rSqPRIDExURIbPHgwnnrqKdx000345ZdfsGfPHmzfvh3BwcH1c1xd/21/eObMzIYYjUa7113qOhdai4iotSr+OwX6rDwAQJGHDwDAMy4GCrUKgiAg0ofnbRJdiNJFi47TJ+Hw/75BVfppydjpn3+HIAhs/0JEREREREREV5Q+pwCFW3dLYr69kljYJKdwqLi5adOm+sNhBUGAKIooLy/H7t27z3udKIpX/FDZgIAA/PDDD+jSpQtOnjyJ5557DvPmzasfP7s9bHV19XnXOnv87OsudZ0LrUVE1Fpl/vIHAMAGoNjdGwDg1SkWABDq6QIXNZ/qJLoYShctOjz9AA5/+C2qzylwnvppOURR5A5OIiIiIiIiIrpiMhetAkRREou+Y4STsqG2zqHiZmRk5BUvUl6OpKQkxMXF4fjx41iyZAm+++47qFR1P2pkZGT9vMzMTPTq1avBdTIzM+u/Pvs6e+tcyJk5giAgPDz84n4QIqIWrOZ0Dop37gMAVLi6w6RSwy0yFGpPNwBAtJ+bM9MjanFUri71OzirM7IkY6d//h2i1Yqw4QOckxwRERERERERtVqWGj2yf5eerauLCIF/n+5OyojaOoeKm6dOnWrkNBqfv78/jh8/jpqaGhQVFSEkJAQA0Llz5/o5aWlpGDNmTINrpKWl1X999nUAEBcXB41GA5PJJJlnj8lkQnp6OgAgJibmgq17iYhag9OLVtV/XfxPS9ozuzYBIMqX74VEl0qlc0XHpx9E2v++Rs2pbMlY5qI/IFqtCL/lBidlR0REREREREStUc7KjbDqDZJY1PjhEBQKJ2VEbV2r/T8vJyen/uuz28D269ev/uuNGzeed42zx8++DgBUKhX69OkDAEhPT0dWlnQHxdl27tyJ2tpau+sQEbVG5qoa5K7aBAAQUXfepsbbE66hQQCAAHct3LUOPV9D1Oap3FzR6ZkH4R4t7wSRtWQNspauhXhOmxgiIiIiIiIiIkeINhtO/7JKElO56xDK7lHkRK2yuLljx476NrAxMTFwd3evH4uOjq5vRbtp0yYcP37c7hrl5eVYtGgRACAoKAh9+8rPsbrtttvqv549e3aD+Xz99df1X48bN+4SfhIiopYpe9m6+qe5qrWuqNVo4dUpDmc6mrMlLdHlUbnp0PHZh+DePko2lr18PbJ+Xc0CJxERERERERFdtqLtyajNyZfEwkYMgkrn6qSMiFpYcXPu3LmorKw875yMjAzce++99d9PmjRJNufFF18EANhsNjzyyCMwmUyScVEUMWXKFFRXVwMAnn/+eSjsbK++77776tvdfvjhh0hJSZHNWb16NebPnw8A6NatG4YNG3be/ImIWjqb2YzTC/+o/77IwwcKrQYesf+eVRzNlrREl62uRe0D8IiLkY3lrNyI0wtXssBJRERERERERJfl9MKV0oBCgcjbhjsnGaJ/tKji5kcffYSwsDDcdddd+PLLL7Fp0ybs378fu3btwqJFizB58mQkJibixIkTAICrrroKzz77rGydMWPGYNSoUQDqWs9ed911WLhwIZKTk7Fs2TIMHjwYCxYsqF9jypQpdvNxc3PDZ599BkEQUFtbi379+uGdd97Bjh07sHXrVrz44osYNWoURFGEVqvFrFmz7BZJiYhak7x122EsLq3/vtjDB14d2kOhrmtD6+Wqhrer2lnpEbUqKlcXdJw+CZ4J7WVjeWu24NT85SxwEhEREREREZFDqk6cRmnyQUkssN9V0IUGOikjojrnPfBs0KBBAABBELBhwwZZ3BHnrnWpqqursWDBgvriY0PuuusuzJo1C1qt1u74ggULMH78eKxcuRJ79uzBHXfcIZvTu3dvLF++HBqNpsHXGTt2LL788ks88cQTqKysxEsvvSSb4+3tjXnz5tWf0UlE1FqJoohTC5bXf1+r1qJa546oTrH1sWhfNwhn+tMS0WVTumjRYdr9OPrpXFSkSdvt52/YDtFqRcw9t0LgA1ZEREREREREdAlO/7JSFosaz12b5HznLW5u2rTJ7g3ohuIXIoriZd3QXr58OTZu3IhNmzYhNTUVBQUFKCoqgiAI8Pb2Rnx8PK699lrcddddSExMPO9aOp0OK1aswK+//oq5c+ciOTkZxcXF8PHxQWJiIiZMmICJEydCqVReMK+HH34Y/fv3x8yZM7FmzRrk5ORAoVAgKioKI0aMwNSpUxEWFubwz01E1FKU7D6A6vTM+u+L3b3hERsFlc6lPhbtx5a0RI1NqdWgw1P34ehn81CeelQyVrBpJ2wWK9rfP5YFTiIiIiIiIiK6KKayCuSt2SqJecTHwKdbJydlRPSv8xY3IyMj7RYjG4pfaZGRkZg4cSImTpzYaGuOHTsWY8eOvex1EhIS8OmnnzZCRkRELdep+csl3xd6+sA7Mb7+e51GhUB3+zvqiejyKNRqJDx+L47Nmo+y/WmSsaJtu2EzmRD70B1QqC784BYRERERERERtW1Zv62DzWSWxKLGD2dHNmoWzlvcPHXq1CXFiYio7ao6fgolu1LqvzcpVTDHx0Hj41kfi/LV8QMQ0RWkUKsRP+VuHP/yJ5Qmp0rGSnalwGowIWHK3VBoeO4tEREREREREdlnNZmQuWiVJKbx8ULwTdc5KSMiKfYmIyKiRnHqp98l3xe7e8MrKUESi/ZlS1qiK02hUiH+0Qnwu7qrbKz8wGEcnvEdrAajEzIjIiIiIiIiopYg949NMJVVSGIRY4ZAqdE4KSMiKRY3iYjoshkKS5C3dpskVh2fANeQwPrv1UoFQr1cmzo1ojZJUCoR98idCLj+KtlY5dF0pL33FczVNU7IjIiIiIiIiIiaM9Fmw6kF0k0MCq0GkeOGOikjIjkWN4mI6LKd/uUPiFZr/fcWQQHrVT1wdgfaKB8dlAq2pCVqKoJCgfb3j0XI4L6ysepT2Uh79yuYyiudkBkRERERERERNVeFW3ZDn5UniYWNGASNt2cDVxA1PRY3iYjoslj0tchetk4Sq46Khmt0mCQW5ceWtERNTVAoEHXHCISPukk2ps/Jx6F3voChqNQJmRERERERERFRcyOKIjJ+/E0aVCgQfectTsmHqCEsbhIR0WXJ+m0dLNV6afCmgRAU//4ToxAERHizuEnkDIIgIOLWmxB1xwjZmKGwBIfe+QK1eYVOyIyIiIiIiIiImpOylMOoOHRcEgse1Ae6sCAnZURkH4ubRETkMKvJJOvBL7jpUBMXK4mFebtCo+I/OUTOFDqkH9rdNw6SftEATGUVOPTOl6g5neOkzIiIiIiIiIioOTg1f7ksFj1hpBMyITo/3mkmIiKH5a7cBFNJmSSmGz0cFoVSEovxc2vKtIioAUH9r0bcI3dKdlYDgLmqGofe/QqVR086KTMiIiIiIiIicqbqk1ko2rZHEvPtmQivju2dlBFRw1jcJCIih9isVmT88JskptBqYL6ujyQmQECkj2sTZkZE5+N/TTckPDERCpVKErcaDDj8v29QknzQSZkRERERERERkbOc+km+azPm7lFOyITowljcJCIih+Sv3SY7py/slhuRa5a2vAzy1EKnkRZRiMi5fLp2RIenH4DSRSuJ2ywWHJv5Iwo2/e2kzIiIiIiIiIioqRmKSpG7eosk5h4bBb9rujknIaILYHGTiIgumWiz4eQ5uzYFpRLuY4ahxmSRxKN82ZKWqDny6tAenZ57GCo3nXRAtOHk3F+RvXwDRFF0TnJERERERERE1GROL1wJ0WKVxGImjIQgCA1cQeRcLG4SEdElK9y6BzUZWZJY6LB+yFdoZXOjfXWyGBE1D+4xEUh8eQq0vt6ysayla3Bq/jKINlvTJ0ZERERERERETcJcVYOs39ZKYi6Bfgi+6TonZUR0YSxuEhHRJRFFESfn/ioNKhSIuWc0TpXoJWFfnQZeruomzI6ILpVrSAA6vzwFurBg2Vj+hr9w/MufYDObnZAZEREREREREV1pmYv+gLWmVhKLuvMWKFQ8ZoqaL/7fSUREl6R0TyoqD6fDKggo8vBFhn8IrB0TsCetAidLauCmVSHE0wU+OjWi/diSlqgl0Pp6ofOLk3Hk4zmoOnFKMlayOwWWGj0SHr9XdkYnEREREREREbVcFn0tTi1cKYmpPT0QPvIGJ2VEdHHOW9ycNGlSo7+gIAj49ttvG31dIiJqGse+/xUnAsJxLDgS1VpXqKxWRHeMQ5XJAptNRGm1EYVVBriqlWjn5w6LzQaVgo0CiJo7lZsOnZ59CMe+mI+y/WmSsYq04zj07pfoMG0SNF4eTsqQiIiIiIiIiBpT1pI1sFRWS2JRd46ASufqpIyILs55i5tz5sy5IgfGsrhJRNQyFew/grUVAk5Hd4CbsRa+NZVwiwiBX7AvigqqoFEpoFEpIIoiRAjYfKIIFQYzRiaFQKtSOjt9IroAhUaNhKn3IH3OEhRt2y0Zqzmdg0Nvz0KHaZPgGhzgpAyJiIiIiIiIqDFYjSacWvC7JKZy1yFy3FAnZUR08S64lUYUxfP+cWQOERG1PBabDT8s2oZM32D4VlfC1WyCAMCna0eYrDbUGC31cwVBQLCnC8K9XZGSXYHlqXmw2GzOS56ILpqgVKL9pHEIu3mgbMxQWIKDb86Uta4lIiIiIiIiopYle9k6mMoqJLHIccOgducxU9T8nbe4abPZGvxz+vRpXHPNNRBFETfeeCMWLlyIU6dOwWAwwGAw4PTp0/jll19w0003QRRFXHPNNcjMzISNN7eJiFqkzVsOIq3KAp+aSihQ96CKa3AAXIP8UK43y+Z7u6qhVAgI83bB/uxyJGeWN3HGROQoQRAQOW4You8cKRuz1OiR9t5slOxJdUJmRERERERERHS5rCYTMn5cJokpXV0QdfvNTsqI6NI4dAhaTU0NhgwZgl27duGrr77C2rVrcdtttyEyMhIajQYajQYREREYN24c1qxZg9mzZ2PXrl0YPHgwampqGvtnICKiK8xis2HtnwfgZqytL2wCgE+3jgCAilppcVOlUMBdW9f5XKkQ4KNTY/vJEu7eJGphQgZfj7hHJkBQSttK2ywWHJv1I/LWbnNSZkRERERERETkqNw/NsFYVCqJRYweDI23p5MyIro0DhU3P/vsMxw5cgT33HMPHnrooQvOf/DBB3HPPffg6NGj+OSTTxx5SSIicqKUnWkoLquCi9lUH3MN9odraBAsNhGVZ7WkBQAvVzXOPrLZQ6tCmd6EjGJ9U6VMRI3Ev3c3dHzmQShdXaQDoohTPy3HqZ9+h8gHF4iIiIiIiIhaBJvFgox5v0liCo0a0RNucU5CRA5wqLj5yy+/QBAETJgw4aKvmTBhAkRRxOLFix15SSIicqI/V+yAymrFWfVK+HTvDEEAKmvNwDnnKXu7qiXfC4IAjUrA3qyyJsiWiBqbV4f2SHx5CrS+3rKxvLVbcWzWfNhM8vbURERERERERNS85K3dhtq8Qkks7JYboPXzcVJGRJfOoeJmRkYGACAgIOCirzkz9+TJk468JBEROUlZ6lHkFVZAa/m3cOEaHABdaGDd+DktaRWCAE8XlWwdnVqFwmrjlU2WiK4YXVgQEl+ZArfIUNlYaXIq0t6fDXMVjx8gIiIiIiIiaq5Emw0n5y6RxASVEjF3j3JSRkSOcai4abVaAVxaofLMXBvblhERtSgnZv8Mi1IJQfz3/du3R2cAgNkqovyc4qanqxoKhYBzKRWA0cJ/A4haMo2PFzq/+Ci8kxJkY1Xpp3HwrZmoLSh2QmZEREREREREdCF567ZDn5kriYUOHwDX4IvfyEbUHDhU3IyNjQUAzJw586KvOTP3zLVERNT8laUcRumeVKisVohC3T8ZriGBcA2p+8BTqjfJWtL66jR217LaAK3KoX92iKgZUbpo0eHJ+xDY72rZmKGgGAff+ByVR9mpg4iIiIiIiKg5sVmtSP/2F2lQoUC7e0Y7JyGiy+DQXebbbrsNoihi8+bNmDRpEvR6fYNza2tr8eCDD2LTpk0QBAHjx493OFkiImpaJ75eCADwrK2GUVV3jqZv904A6mqaJee0mVUpFPA657zNM/RmCwLdtVcwWyJqKoJSiXb3jUXEmCGyMUuNHmkffI2i7clOyIyIiIiIiIiI7MlbvQX6rDxJLHRoP+jCg52UEZHj5IeiXYRp06Zhzpw5OH78OObOnYtVq1bhjjvuQO/evREYGAhBEFBQUICdO3di4cKFKCgoAFC3a/Opp55qzPyJiOgKKd13CKXJBwEAMcV5yPINgstZuzZrzVbUmq2Sa3zdNLDTkRaiKMJosaFHBA8mJ2otBEFA+C03QOvng/TvFkG0/vt+IFqtOPHNQtTmFyFi9GAICu7aJiIiIiIiInIWm8WC9O8WS2KCUon2k25zUkZEl8eh4qaLiwvWrVuHwYMH49ixYygoKMCnn36KTz/9VDZX/KddYVxcHNauXQsXF5fLy5iIiK44URRx4ut/21QEVJXC3VgLbVL3+lhxjVF2nZ+b/Za0VUYLfHVaxPjrGj9ZInKqgGt7QOPjiWMzf4SlRtrNI2fFn6jNK0LsQ7dDqbX//kBEREREREREV1bOyo2ozS2QxMJGDIQuLMhJGRFdHocfo4+MjMT+/fvxyiuvICAgAKIo2v3j7++Pl19+Gfv370dUVFRj5k5ERFdIye4DKNt3qP57pSiip6cCejd3WG0ibKKI0hqz5BqdRgWdRilby2oTUaY347p2flBx9xZRq+TVMRaJr0yBS5C/bKw0ORVp734JU3mlEzIjIiIiIiIiatusJhNOnrtrU61Cu/vGOikjosvn0M7NM1xcXPDf//4Xr776Kvbu3YsDBw6gpKQEAODn54cuXbqgR48eUKku62WIiKgJiTYbjn8xXxYffs9QuNrckZJdAZ1GAavNJhm3t2vTahORU25At3Bv9Iz0vlIpE1Ez4BocgKT/TMXRz35A5dF0yVj1qWyk/vczdHjqfrhFhjopQyIiIiIiIqK2J2f5BhgKSySx8JE3wjU4wEkZEV2+Rqk6qlQqXH311bj66qsbYzkiInKigo07UXnkpCQWcF1P+HftgJGWujP1Vh3Kh00UoVEKEIS6P766f4uboiiiymhBmd6MbuHeGJkUwl2bRG2Ayk2Hjs88gJNzl6Jo227JmKmsAgffnoW4RybAt3snJ2VIRERERERE1HZYjSacnLtUElNo1Gg3cYyTMiJqHLzTTERE9WwWC45/9ZM0KAiIe+ROAIBWpcTgDkGI8HGFIACVRgtqjBZoVQqYrFZUGSwoqDIgu9wAhaDAyKRQjO4aCq1K3q6WiFonhUqF9pPGIWr8zYAgSMZsRhOOfjYXOX9sqj+XnYjojNJ9h3Bs1o8o3LYHVoP8bG8iIiIiIro0WUvXwlhcKolFjB4ClwBfJ2VE1DgaZeem0WjEnj17kJeXB71ej1tvvRWenp6NsTQRETWhnJUboc/Kk8RChvSFR1x0/fcnS2oQ5u2KEC8XlOnNyKs0INDDBRYboFUpEO7tgR4RPojx13G3JlEbJQgCQof1h0uQH45/9TNsJtO/g6KIzEV/QJ+Vh/b3j4NCo3ZeokTULNTmF+HQu1+h5O/9EEUR5qoalO4+gIQnJrJVFhERERGRgyy1BmTMO2fXposWMffe6pyEiBrRZRU3CwsL8corr+DHH3+E0fjvk7W9evVCp07/thv77rvvMGfOHHh7e2P58uWX85JERHSFWI0mpH+zSBITVErEPnh7/feiKOJYYRUAQCEI8HPTIMJHhwm9IqA4Z4cWEZFvj0QkvvQojnwyB6ayCslY8c59qM0vQsLjE6H19XJShkTkbObqGux+7DXU5hVK4rW5hUh9/TPEPXIHfLqxlTURERER0aXKXLxa9rt45Nih0Pp6Oychokbk8JaatLQ09OjRA99++y0MBgNEUWywvdiQIUOwY8cOrFy5Eps2bXL0JYmI6ArKXPSHrE1F+KiboAsLqv++oMqIilqzZE5cgDsLm0TUILeoMCT9ZyrcosNlYzWnspH6+ieoOnGq6RMjombh5JwlssLmGVaDAUc+mYOs39ZBtNmaODMiIiIiopbLXFmNjB+kuzaVOhfE3D3KSRkRNS6HiptGoxGjRo1Cbm4uXFxc8PTTT+P3339vcH5YWBgGDRoEAFi1apVjmRIR0RVjrqrByR9+k8SUri5oP2mcJHb0n12bZ0sI8riSqRFRK6Dx8ULii4/Cv3d32Zi5shqH3v0KhVt2OSEzInImfXY+Ti9cccF52cvW4einc2HR1zZBVkRERERELd/JeUthqaqRxKLG3wyNN48TpNbBoeLmN998g/T0dGi1WmzYsAEffPABbr755vNeM3jwYIiiiJ07dzqUKBERXTmn5i+DpbJaEou6/WZJmwqz1YaTxdIPRUEeLvB25Xl5RHRhCo0asQ/fgcjbhgPn7PYWrVakf78YGT/+BpvF6qQMiaipHf38B4jn/J33ToyH2l0nm1uWchip//0M+pyCpkqPiIiIiKhFqi0oRuaiPyQxtacHd21Sq+JQcXPp0qUQBAGPPvooevfufVHXdOnSBQBw4sQJR16SiIiuEGNxGU4tXCmJqTzdEX3XSEkso6QGZqu0JRx3bRLRpRAEAWHDB6DDk/dD6eIiG8/f8BcOf/gNzOc8XUpErU/xrhQUbv5bEtNFhKDXzP9Dh+kPwL19hOwaQ0ExUt/4DCW7DzRVmkRERERELc6JrxfCZpIeK9Vu0jio3OQPERK1VA4VN1NTUwEAw4cPv+hr/Pz8AAClpaUXmElERE3p+OyfYDMYJbF2E8dA7e4miR0tlO7sVCkUaOcnnUNEdDF8unZA0quPwyXIXzZWeSQdqf/9DDWZuU7IjIiags1sxpEZ38niCY/fC4VKBY23Jzo9+zCC+l8jv9ZowrFZP+L0olU8h5OIiIiI6BxVJ04j949NkphrSCAiRt/knISIrhCHipvl5eUAAH9/+Q2phlitde2GhHPakBERkfNUHT+FnBUbJTFtgC8ixw6VxCoNZuRVSM+5ivFzg0bl0D8jRERwDQlA0n8eh3dSgmzMWFyKg2/ORNFfe52QGRFdaacXrULN6RxJzL93dwRc36v+e4VahXb3jUW7+8ZBUKlka+T+sRGHP/wWpgr5eeBERERERG3V8S8XAKIoicU+fAeUGo2TMiK6Mhy6K+3l5QUAyM29+Cfq09PTAfy7g5OIiJxLFEUc+XSu7ANP3OQJUGqlH3iOnbNrEwASgtyvaH5E1Pqp3FzR4an7ETqsv2zMZjbjxNc/I+PHZbBZLE7IjoiuBGNxGdK//UUSE1RKdJh2v90HYYP6X43OL0yGxsdLNlaRdhyp//cJKo+fulLpEhERERG1GKX7DqFoe7Ik5hEXjZDB1zspI6Irx6HiZvv27QEABw5c/Fknv/32G4B/z94kIiLnKt6xD6V7UiUxj4R2CB3aTxITRVFW3PRwUSPEU35eHhHRpRIUCkSNvxmxD98JhZ3dWfkbtiPtvdkwlVc6ITsiamzHZv0Iq94giUXdPgJukaENXuPRPhJJrz0Bz4R2sjFTeSUOvfMlctdsgXjOA1tERERERG2FKIo4Nmu+LB7/2F0QFOy8Rq2PQ/9XDx48GKIoYubMmTCbzRecv2nTJixevBiCIGDo0KEXnE9ERFeWzWrF0c/myeIdnpgo+8CTU2FAtVH6Xh8f6M4240TUqAL6dEfiK1Og9feVjVWdOIUD//cJKo9lOCEzImosZalHkbtqsySm8fNB+0njLnitxssDHZ95CCGD+8oHRRtO/7wCx2b+CIu+Vj5ORERERNTKFW7ehYqDxyQx356J8Lumm3MSIrrCHCpuPvbYY9DpdMjNzcWkSZNgMpkanDt//nyMGjUKNpsNPj4+mDRpksPJEhFR48hZvgE1p7IlsYC+V8G3R2fZ3GOF0rOsBAiID2BLWiJqfG5RYUh67XF4J8rP4TRXVCHtva+Qt347d2cRtUCizYbDH34riydMvQcqnetFraFQKRF95y2If+xuKF20svHS5FSkvv4ZajIv/vgUIiIiIqKWzmax4NisH2Xx+Cl3c3MCtVoOFTeDgoIwY8YMiKKIBQsWoH379nj88cfrx+fMmYPHHnsM7du3x7333ouqqioIgoCvvvoKbm5ujZY8ERFdOkuNHsdn/yyJCUolEqbeI5trtFiRUVIjiYV6ucDDRX1FcySitkvt7oYO0+5H2C03yMZEmw2n5i/Didk/w2ps+OE6Imp+spevR9XRk5KYd9cOCBliZyfmBfhd1QVJrz0BXXiwbMxQWIyDb3yOwq17HM6ViIiIiKglyfx1DfRZeZJY0A3XwqtjrJMyIrry5AcbXaSHH34Yer0ezz33HHJycjBr1qz6pwA+/PDD+nmiKEKlUuHTTz/F2LFjLz9jIiK6LCfnLoX5nLPrIkYPtnvWVXpxDaw26Q6p+ECPK5ofEZGgUCByzBC4x0TUFTIN0vP5infugz4nH/GP3Q3X4AAnZUlEF8tUUYXjX/wkDSoU6Dj9AYefJHcNDkDiK1ORMW8piv5KlozZLBakf/cLKo9lIObuUVBqNY6mTkRERETUrJkqqpD+3SJJTFApEffInU7KiKhpXNZJsk899RT27t2LO++8E25ubhBFUfJHq9VizJgx2LNnDyZPntxYORMRkYNq8wpxeuEKSUzl4Yb2D463O/9YYbXke7VSgRg/3RXLj4jobL7dOyHptcehC5PvztJn5SH19U9RsuuAEzIjoktxbOYPMFdK29xH3HoTPONjLmtdpVaD9g+OR7uJY6FQyZ/bLdq2G6n//Qz6nILLeh0iIiIiouYq/ZtfYKmU3r+LvG043CJCnJQRUdNweOfmGYmJiZg/fz6sVivS0tJQWFgIi8WCgIAAdO7cGVqt/CwUIiJyjqMzf4TNZJbE2t03Fhov+W7MMr0JhVXS3VLt/d2hUl7WczFERJekbnfWFKR/vxglu1IkY1aDEce++BHBx65F1O03Q6Fmy2yi5qZ0fxpyfv9TElN5uiP24TsaZX1BEBA04Bq4RYfj2MwfYCwulYzX5hYg9fVPEXP3KAT0vYpnDhERERFRq1GdkY3MJWskMbWXB9rfP85JGRE1ncsubp6hVCqRlJTUWMsREVEjK0k+iIINf0lirqFBiBw31O78c3dtAkBCkPsVyY2I6HyULlrETZ4A93aROL1wJSDaJOP5G/5CdXom4h67Gy4Bvk7KkojOZTObkfbebFk8Yeq9dh+suhzu0WHo8n9P4MQ3v6Bsf5osj/TvF6Mi7QRiJo6BytWlUV+biIiIiMgZjn42D7BJfz+OffgOqD3cnJQRUdNxaPvNvHnzMG/ePFRWVl548j+qq6vrryMioqZls1hwZMa3snj81Hug1MjPobKJoqy46e2qQaA7d+MTkXMIgoDQIX3R+YVHoPH2lI1Xn8rGgf/7BKX70uxcTUTOkDF/OWpOZUtiPt06IWzEwCvyeio3HRKemIio8TdDUMh/1S3+ez9S/+8TVJ+TExERERFRS1O8cx+Kd+yVxNxiIhA+6kYnZUTUtBwqbt533324//77kZ198b8UFhQU4L777sOkSZMceUkiIroMmb+uQfXJLEnMt1cSggZcY3d+Vlktas0WSSwh0J2t3IjI6TzjY9Dl9afg1TleNmbV1+Lop3NweuFK2CxWJ2RHRGfUZOXh5PeLJTFBpUSn5x6+op8nBEFA6LD+6PzSY9D6y3dyGwpLcPDNmchdsxWiKF6xPIiIiIiIrhSb1Yojn8o3kXV46j4olEonZETU9Jr84DT+AklE1LSMpeVI/2ahJCYoleg4/YEGby4eLaySzhcExAayJS0RNQ9qT3d0nD4JEaMHA4L842zu6s1Ie/dLGEsrnJAdEYmiiMMffC075zvm7lvhHhPeJDl4tI9El/97En5XdZHnZ7Xi9M+/4+inc2GurmmSfIiIiIiIGkv2svWoyZBuYvC/tgf8r+7qpIyIml6TFTdt//R+VvLJASKiJnX8i/mwVOslscjbhjV4c9FgtiKzVDo/wtsVbppGO6aZiOiyCQoFwkfeiE7PPAi1p/zhi6r00zjw6keys/eI6MrLW7sNJbsPSGKuYcFod9/YJs1D5eaKuEfvQruJY6BQyT/HlO1Pw4FXP0blsYwmzYuIiIiIyFHmymqcmP2zJCYolUh4fKKTMiJyjiYrbp5pYevpKT8jiYiIroyKtOPIWbFREtP4eCH2wfENXnO8qBq2c3bZJwR5XJH8iIgul1enWHR5/Sl4JrSTjVlq9DjyyRxkzF8Gm9ls52oiamzmymoc/WSOLN7puYeg1MrP+b7SBEFA0IDeSHz1cbiGBMrGTWUVOPTuV8hevh7iPw/kEhERERE1V8dn/wxzhbTjWsTYoXCPDnNSRkTOcVnFzYs5K8VsNiMtLQ1vvvkmACA+Xn4+EhERNT7RZkPa/76RxeOn3gOVm87+NaKIowXSD0guKiUifezPJyJqDjTenuj07EMIGzHI7nj++u1IfWMmavOKmjgzorbn6GdzYSqTtoQOGXy901tkuUWEIOnVxxFw/VXyQdGGrKVrceidL2EoKm365IiIiIiILkLl0QxkLV0riak83RH7wG1OyojIeS6quKlUKiV/gLob4ImJibKxc/+4uLggKSkJmzZtgiAIuPXWW6/kz0NERP/IWbERlYfTJTGvpASEDu3X4DUlNSaU6k2SWGygO5SKCz/MQkTkTIJSicixQ9Fh2iS7D3Dos3Jx4PVPULh1D8+AJ7pCiv/eL+sYofJwQ8KT9zknoXMoXbSIfeA2xD58B5QuWtl41YlTOPDqRyj6ay/fJ4iIiIioWRFtNqR9+A1wTreR+Ecn2D2qhai1u6jipiiKkj8NxS/0Z8CAAXjqqaeu1M9CRET/MFVU4disH6VBQUCn6Q9AUDT81n+0sEoWiw/gByQiajl8unRAl/9Og2dCe9mYzWhC+ne/4MTsn2GpNTghO6LWy6KvxaF3vpTFE6bcA62vd9MndB4BfXog6bUn4BYZKhuzGow48fXPOP7lAlhq9HauJiIiIiJqejkrN6Ei9agk5tmhHcJH3uikjIicS3UxkyZOlB5GO3fuXAiCgJEjR8Lb27vB6wRBgIuLC8LCwtC3b1/069fwbiEiImo8xz6fJ+u/Hz7qRnh2kJ9Jd4bFZsOJohpJzN9NC393+c4GIqLmTOvrhU7PPYSclRuRtXQdIEqfbC3euQ9V6acR/+hdcI+JcFKWRK3LsZk/wlBQLIn59kpC2MgbnJTR+bkGByDxlSnI/HUN8tZskY2X7EpB1YnTiH3odnh1kD8sQURERETUVMyV1fJNDAA6PvPgeTcxELVmF1Xc/P777yXfz507FwDw1ltvoVOnTo2fFREROax03yFZSzi1pwfiHrnzvNedLtXDaLFKYvGB3LVJRC2ToFAg/JYb4NWxPY5/sQDG0nLJuLGoFAffnImIsUMROrQffyEkugwlyQeRtWSNJKZ0dUHnFx+FIDTf1vYKtRrRd4yAd1IC0r/9RXZWqKm0HGnvz0bo0H6IGDMECtVF/fpMRERERNSojs/+GebySkksbOQN8O4c76SMiJzPobs4r732Gl599VUEBgY2dj4XdOzYMXz88ccYM2YM4uPj4e7uDo1Gg+DgYNx4442YMWMGysvLL3q9X3/9FSNHjkR4eDi0Wi1CQkJw00034fvvv4fVar3wAv84evQonnzySXTo0AHu7u7w8vJCly5d8NJLLyEnJ8eBn5SI6NJZTSakvTdbFk94/F5ovD3Pe+2xwmrJ9wpBQCxb0hJRC+cRG40u/30Kvj2TZGOizYbMRX8g7YOvZcVPIro4lloDDr39hSwe/9hd0IU2/e+LjvDuHIeub0yDby/5+wREEbmrNuPgG59Dn1vQ9MkRERERUZtWeTQDWUvXSmIqT3fEP3qXkzIiah4cevT0tddea+w8LsrEiRMxb948u2MFBQUoKCjAhg0b8N5772HOnDkYNmxYg2vp9XrcfvvtWLFihSSen5+P/Px8rF+/HrNnz8by5csREBBw3rxmz56NJ598EgaD9Oym1NRUpKam4osvvsC8efNwyy23XORPSkTkmFPzl6PmtPSBCp9unRB684DzXldttCC7rFYSi/LVwUWtbOwUiYianMpNh/gpd6Nw8984NX85bBaLZLzySDpS/vMR2t07Gv7XdHNOkkQt1PEvf0LtOUU/n24dETFmiJMycozKTYf4x+5G0bZknFqwDFaDUTJek5mL1P/7FFG334ygQX2a9Y5UIiIiImodRJsNaR9+A9ikR63ET55wwU0MRK1di+q/dWYHpLu7O+6++258++232LJlC/bu3Vu/AxMACgsLceutt2Lz5s0NrjVhwoT6wmavXr2wYMEC7N69G0uWLMENN9SdC7Nz506MGDECJpOpwXWWLFmCyZMnw2AwwNPTE2+99Ra2b9+OzZs34/nnn4dGo0F5eTnGjx+PnTt3NtZ/CiIimZrMXJyc86skJqiU6PT8I7IbcBabDccLq7EwOQufbT6BN1Yfxs5TJTiYV4mSGhNsooiEII+mTJ+I6IoSBAFBA3oj6bUn4BoaJBu36mtx/MsFOP7VT7Doa+2sQETnKjtwBJmL/pDEFBp1XTvaFtjqWRAEBPbthS6vPwX39lGycZvZjIwff8ORj76DsbTCzgpERERERI0nZ8VGVKQelcQ8EtohfNSNTsqIqPlw6DfOlJQUKJVKuLi4IDs7+4Lzs7OzodVqoVKpcOTIEUdeEgAQFhaGzz77DPn5+fjhhx8wadIk9O3bF927d8eYMWOwbNky/O9//wMAmEwmTJ482e46S5YswbJlywAAAwYMwLZt23DnnXeiV69eGD16NNauXYsJEyYAAHbt2oWZM2faXaempgZTp06FKIpwdXXF5s2b8dJLL+Haa69Fv3798O677+K3336DIAgwGAx49NFHYTvnKQsiosYgiiLSPvgaNpNZEo+5ZzTco8Pqv7fYbPj7VCk+3ZSOebtO41hRFUwWGypqzbDZRJRWG5GSU47kzHLklNfCwvcsImpldOHB6PLaEwi+4Vq748U79+HAfz5C5dGTTZwZUctiqTXg4JszAVGUxGMfuRNukaFOyqpxuAT6IfHFyQgfdRMgyH9lLk89ipT/zEDRX3shnvPzExERERE1BmNpOY7O/EEW7/Tsgy3yQUKixubQ34Jff/0Voihi6NChCA8Pv+D88PBwDB8+HDabDb/88osjLwkAmDt3LqZOnQo3N7cG5zz99NPo0aMHAODIkSNISUmRzXnnnXcA1D2ZO3v2bGi1Wsm4QqHAzJkz4e5ed9bce++9Z7coOWfOHOTl5dW/brdu3WRzhg0bVl8o3b9/P1atWnURPykR0aXJW7MVpXtSJTFdeDDa3Tem/nujxYol+3OwPDUXNtGGcG8XBHm4QBDqiqMalQJuWhU8tSp4uaqx4mAelqbkwmi5+POHiYhaAoVGjZi7b0WHaZOg9pSfLWwsLceh977C6UWrZC1siajOsc9/gD4rTxLz6hyH6DtGOCmjxiUolYi49SYkvjQZ2gBf2bhVX4sTX/+MY5/Ng6miygkZEhEREVFrduTjObBUVktiYbcMgnfneCdlRNS8OFTc3LBhAwRBOO+ZlucaPnw4AGD9+vWOvOQlGThwYP3Xx48fl4ydOnUKe/bsqZ8XFxdndw1vb2+MGzcOQN15nlu3bpXNWbRoUf3XDz30UIP5nD22ePHii/gJiIgunrmyGkc/nSuLd3ruYSg1GgB1OzaXHcjFgZxKhHu7wtNFXd+qtrhG2npbEARE+rgi3NsVKdkVWJ6axx2cRNQq+XTpgK5vTIdP987yQVFE7h8bcfCNz6E/5zxBorauaMc+ZC1ZI4kpNGokvvRYq3uK3CM2Gl3/Ow0B1/eyO1667xBSXpmBkt0HmjgzIiIiImqtinbsQ/66bZKY2tsTCVPvdVJGRM2PQ795nmlFm5iYeNHXdOrUCQCQlZXlyEtekrPPyFQqlZKxLVu21H99dhHUnkGDBtm9DgAsFgt27NgBAGjfvj0iIyMbXKdPnz5wcXGxuw4R0eU6/NF3MJVJz30KGdoPfld1qf8+ObMcKTkVCPN2gVLx7/mbVpuIMr20uOmmVcFFrYRSISDM2wX7s+va1BIRtUZqT3ckPH4v2t03Dop/Hgg5W01mLlJf+wS5q7dA5IMeRDCVV9a1oz1H3KN3wb1dhBMyuvKULlrEPjAeCU/cZ3e3t6W6Bsdm/YjjXy6ApUbvhAyJiIiIqLWw1BqQ9v5sWbxjA52HiNoqh4qbBQV1T6+fadt6Mc7MPXPtlbRx48b6r88UVc84dOhQg2PnOnv87OuAuh2hZ4qoF1pHo9EgNjYWAJCRkQG9nr/wElHjKNqejLzV0ocmVP/cqD/DYrNh+8kS+OjUksImAJT/c9bm2fzc/r25r1QI8NGpsf1kCXdvElGrJQgCgvpfjS6vPwn3GHlxxmax4PTCFTj0zpeoLSh2QoZEzYMoijj03lcwlZZL4r49ExE1frhzkmpCvt07oetbT8Pv6q52x4v/3o/9L89AWcrhJs6MiIiIiFqLE18vhCG/SBLz790dwTdd56SMiJonh4qbZwqVxcUXf3PnzNxzz7dsbEuWLMHBgwcBAN27d0dCQoJkPDMzs/7r8+22BICIiH9vbp193aWuc/ZaoijW73wlIroc5uoaHHrvK1m8wxMTofX1rv8+o1iPMr0JHlqVbO65LWkVggBfnXTnkodWhTK9CRnFfDCDiFo31+AAdH7pMYSPugkQ5B+Tq06cwoFXP0b++r+4i5PapNxVm1G46W9JTOWuQ+IrU1pdO9qGqN3dEP/oXYh79C6o3HSycXNFJY58/D1OfLsIllqDEzIkIiIiopaq8shJnF64UhJTuGjR8dmH6o+XIqI68jvdFyEqKgplZWXYsmULbrjhhou6ZvPmzQCkBcPGlpeXh6lTp9Z///7778vmVFVV1X99oZ2nHh4edq+71HUutNYZM2bMwIwZM+q/1+v1WLNmjd25RES1C9fClH5KElN1iEaq0oiDZ7137CgWUFgrwFgivd5iA7L00g9G7mog49yJACrMwPx1OejjL8rGWjuDwdAo78VWgxFCfgXAz6JEzd/VsRADdTAsXAtbibTtN8wmHJzzCw5v/Qsut90Iha+Xc3JsQ0xWK/7OzXBuEiIg2mxQrl/v3DycyFZageoP5kE0Sh+Mcr3lOmxJ2QukNN5rtYh/M8M9YXt8HIyLN8ByWP7/Z83G7Ti9NwUuY2+AqkN00+dH1IiaxfswETVf/Jx0xTXWfQlq3kSrDTUfz4e1vFwSd+nfH1tT9wGpzsmLqLlyqLg5cOBA7Nu3D7NmzcKTTz4JX1/f884vKSnBF198AUEQLnjOpaNqa2sxevRo5OXlAQCefPJJ3HjjjXbnnaGxc67S2c7eZXr2dZe6zoXWOmP69OmYPn16/fcBAQEYMmTIBdcmoraneFcKkg+fhqunZ31MqXPBdbPehmuQv2Tusc0n4Gm1wf2cnZuZpXr4VhslsbhAD3i6yP9pqDJYoFEpMKR/bCP+FC3DmjVrLvu92Ga1In/9X9D6ekE45yxoImqmQmNg7XkVMhevQv767fLxzEIoZ/6KqNtHILD/1XyK9gr6OzcD14TGODUH0WqFsbQCwTdeC0UbfB8XbTbsnvJ/UGhdAK1LfTzohmvR9cWnGvX//5b2b6b4UmcUbU/GqQXLYT13p6beBPywCn7X9kTUnSOgdndzTpJEl6k5vA8TUfPV1j8nNYXGuC9BzV/GguU4VmUAzrrX5xEfg95vvcC/W0R2ONQ76KGHHoJCoUBpaSmGDx+O3NzcBufm5ORg+PDhKCkpgSAIePjhhx1OtiFmsxm33XYb/v67rkXSkCFD8MEHH9id6+rqWv/1mTMzG2I0/nvT/+zrLnWdC61FRHQpLPpaHHrnS1k84fF7ZYVNADBabDjnqE0YLTZZS1qNSmm3dS0AKBV11xARtSVKrQYxd41Cp+cehtZf/jCf1WDEybm/4shH38FYWmFnBaLW4eS8pSjbnyaJafx80Pm5h9t8YV8QBARe3wtd33waXp3j7c4p+isZKS9/iJLdByCKba8LBhERERGdX01mLk589ZM0qFCg8wuTWdgkaoBDxc2EhAQ88cQTEEURu3fvRkJCAh588EH8+OOP+PPPP7Fx40b8+OOPeOCBB5CQkIA9e/ZAEAQ89thj6Ny5c6P+AFarFRMmTMDKlXW9qAcMGIClS5dCrVbbnX92e9jq6urzrn32+NnXXeo6F1qLiOhSHJs1X3awuG/PxLoz4uzQqhSwnXMfLa/SILu5FuLpgobuT1ptdesQEbVFXh1j0fWNaQjqf43d8fLUo0h55UMUbU9m4YJanbKUwzjx9UJZPOmVx6D2vPDxHG2F1tcLHZ9+AO0mjoFCK+/sY66sxrFZP+LY5z/AVF7phAyJiIiIqDkSbTYcfGsmbCazJB41fji8OrZ3UlZEzZ9DbWkB4IMPPkBeXh4WLlyImpoafP/99/j+++9l887c4Lntttvw0UcfOZ6pHTabDffeey8WL14MALjuuuuwYsWK8+6MjIyMrP86MzMTvXr1anBuZmam3evsrXMhZ+YIgoDw8PALzicisqd03yFk/bpaElO4aNH5xUcb3DkR6K7FsaKq+ra0BrMNJefs2tSqlPBza7jFtt5sQbg3H8wgorZL6aJFu/vGwrdnItK/XwxTmXSnprXWgBPfLETxrgNoN3E0tL7ezkmUqBGZK6tx4NWPAZu0e0PkbcPh37u7c5JqxgRBQNCA3vDqHI+Tc5eg4tAx2ZzSvQdRcSQd0XeMQMD1vdr8zlciIiKitu70L3+g/MBRScw1JBCxD93upIyIWgaHt+EolUr89NNP+Pbbb9GuXTuIomj3T7t27fDNN99g4cKFUDbiFmqbzYb7778fCxYsAAD06dMHq1atgpvb+c8xOXvnaFpa2nlmSsfP3XEaFxdXf9bmhdYxmUxIT08HAMTExECn0513PhGRPZYaPQ6+MVMWj390AnRhQQ1e1yPCByaLWP+wSV6lATh316ZXw7s2RVGE0WJDjwgfx5MnImolvJMS0PWN6Qi43v4DcuUHDiPl5Q+R/+cOiDa286aWSxRFHHxrFgyFJZK4R3wM4qfe7aSsWgaXAF90fPoBtH9gPFRu8t/9rPpapH+3CIf/9w0MRaVOyJCIiIiImoOazFwc/2K+LJ74yhSodDzajuh8HN65ecb999+P+++/H6mpqUhOTkZRURFEUURAQAB69eqFpKSkxshTQhRFPPTQQ5g3bx4A4JprrsHq1asvqt1rv3796r/euHEjXnnllQbnbty40e51AKBSqdCnTx9s3rwZ6enpyMrKQkREhN11du7cidraWrvrEBFdrCMff4/avEJJzLtLAiLHDTvvdTH+OvjoNKgyWqBRKlB6zq5NF7USvrqGd21WGS3w1WkR488HM4iIAEDl5orYB8bDt0ciTs5ZDHOl9IgCq8GIjB+Wovjv/Wh/3zi4hgQ4KVMix2X9uhqFW3ZJYkpXF3R9YxqUmoY/N1CdM2dxeiclIOOH31CanCqbU5F2HCmvzEDkuKEIvuFaCAoeAUBERETUVjTUjjZi7FD49mjco/2IWqNG++0pKSkJ9913H5599lk899xzuP/++69YYXPy5Mn47rvvAABXXXUV1qxZA09Pz4u6Pjo6ur4V7aZNm3D8+HG788rLy7Fo0SIAQFBQEPr27Subc9ttt9V/PXv27AZf8+uvv67/ety4cReVJxHR2Qo270LOio2SmMJFi8SXp1zwRphKocB17fxQpjcju7wWwKWctSmiTG/Gde38oOINNyIiCd/undD1rafhf003u+NVxzJw4NWPkLPiT9gs1qZNjugyVB7LwNHP5sninZ59CG6RoU7IqOXSeHkgYeo9iJ9yj90zSm0mE04tWI6Db81CTWauEzIkIiIiImew2442NAjxU9glhehitLg71Y8//nh9IbFnz55Yu3YtvLy8LmmNF198EUBda9tHHnkEJpN0F5MoipgyZQqqq+uewn/++eehsHNT/7777kNISAgA4MMPP0RKSopszurVqzF/ft3W8m7dumHYsPPvsCIiOpextByH3vlCFu/wxMSLvsHYM9IbcQHuyCzVw3ZWS1pXtRI+DezatNpE5JQb0C3cGz0jvR3KnYiotVO7uyFu8gQkPHEfND7yz6Q2iwWZv65G6n8/Q/WpbCdkSHRpLLUGpPznI9kT5KHD+iN0WH8nZdXy+fVKQre3n2mwpXX1yUwc+L9PcXrhSlgNxibOjoiIiIiaUsPtaB+DytXFCRkRtTyX3ZYWAIxGI/bs2YO8vDzo9XrceuutF72T8lI899xzmDmz7ry50NBQfPTRR8jOzkZ2dsM3igIDAxEYGCiJjRkzBqNGjcKyZcuwceNGXHfddXjmmWcQGxuL7OxsfP7551i/fj2Aup2hU6ZMsbu2m5sbPvvsM9x2222ora1Fv3798MILL2DAgAGwWCz4448/MGPGDIiiCK1Wi1mzZtktkhIRNUQURRx6+wuYK6okcf/e3RF+600XvY5KoUCAhxZBni7IrzTAVa2ERikgxMtVtmtTFEVUGS0o05vRLdwbI5NCuGuTiOgCfLt3gmdCDDIXrULBpp2ycX1WLlL/+zlCh/ZFxK2DodConZAl0fmJoohD73wJ/Tk7CHURIej4zINOyqr1ULnpEPvAePhf0w0n5/wKY0mZdIJoQ+7qzSjZlYKYe26FT7dOzkmUiIiIiK6YhtrRRo4bBt/ubEdLdLEuq7hZWFiIV155BT/++COMxn+fLu3Vqxc6dfr3F7HvvvsOc+bMgbe3N5YvX+7w6/3yyy/1X+fm5l7U+ZWvvfYa/u///k8WX7BgAcaPH4+VK1diz549uOOOO2RzevfujeXLl0NznjNlxo4diy+//BJPPPEEKisr8dJLL8nmeHt7Y968eejTp88F8yUiOlvO8g0o2p4siak9PZD48mMQGuola0dxtRE55bXoGOwBL1cVsspqYbKKMFmsqDIIUCoAqw3Qmy0wWUT46DQYmRSKnpHeLGwSEV0klc4V7SaOgX/vbkj/fjEMBcXSCaINuas2ozT5ENrdPxZeHdo7J1GiBmT9uhr567ZJYoJaha5vTIdK5+qkrFof78R4dH1zOjIXr0b+n38BovTIAGNpOY58Mge+PZMQPWEktL6X1qmIiIiIiJqvjB9+s9uONu6xu5yUEVHL5HBxMy0tDYMHD0ZeXh7Es34Zs3ezfciQIXjkkUdgs9mwadMmDBgwwNGXbTQ6nQ4rVqzAr7/+irlz5yI5ORnFxcXw8fFBYmIiJkyYgIkTJ0KpVF5wrYcffhj9+/fHzJkzsWbNGuTk5EChUCAqKgojRozA1KlTERYW1gQ/FRG1JvrsfBz5ZI4s3umFR6D197mktfZk1u0MUAgCwr11CPVyRcdgT+RXGFBYbYTRYoNWpUC4twd6RPggxl/HoiYRkYM8E9qh63+nIWvZOuSu2gKINsm4obAYae99hYDreyFq/M1Qe7g5KVOif5WlHrX7uSPh8XvhmRDT9Am1ckoXLWLuHgX/Pt1xcu4S6LPk522WJqei4tAxRIwZguAbrr3gOetERERE1LxVHE7Hia8XyuJsR0t06RwqbhqNRowaNQq5ublwdXXFY489hgEDBuCWW26xOz8sLAyDBg3C+vXrsWrVKoeLm6dOnXLouvMZO3Ysxo4de9nrJCQk4NNPP22EjIiI6s5oO/Dfz2CtNUjiIUP7IXhg70taq6DKgMwyvSQW7OmKfu39L2n3JxERXTyFRo2o24bD76quOPn9ItRkygsXRdv2oGxfGqJuvxkB1/Vk4YKcxlhajpSXP4RosUriwTdeh8hxw5yUVdvg0T4SXV57HHnrtiNr6VrYTCbJuNVgxKkFy1H8117ETBwL92g+NEtERETUElkNRhz4v08gWqWfuaNuH8F2tEQOcOgOyjfffIP09HRotVps2LABH3zwAW6++ebzXjN48GCIooidO+VnEBERkdSJrxeiIlXaosIlyB8dn37gktdKziyTxXpFeLOwSUTUBNyjw5D4n8cROW44FCr5c4WWGj3Sv1uEQ+9+BX1OgRMypLbOZrXiwKsfw1hUKom7xUSg84uT+XmhCQhKJUKH9kO3t55u8JzN6lPZSP3vZzi1YDks5zz8RkRERETN39HP58nOtndvF4G4xyY4KSOils2h4ubSpUshCAIeffRR9O59cTuIunTpAgA4ceKEIy9JRNRmlOw+gIwffpMGBQGJ/5kKtfultS7Mq6hFdnmtJBbs6YIwb56bRUTUVBQqJcJuHoAub0yDZ0I7u3OqjmfgwKsf4fSiVbAaTXbnEF0JJ2b/jNLkg5KYUueCbm8/w3M2m5jW3wcJT0xE/NR7ofGxc86maEPeum3Y/+IHKPprr+R4GCIiIiJqvoq2JyPr1zWSmKBWocv/PQmlRuOkrIhaNoeKm6mpqQCA4cOHX/Q1fn5+AIDS0tILzCQiaruMpeU48H+fAufcrIq551b49Uy8pLVEUcSerHJZvFekD3dhEBE5gWtwADo9/wjaPzAeKjsPq4g2G3L/2IiUV2agLOWIEzKktqZwyy5kzFsqiye+PIXtT51EEAT49UxEt7efQchN1wOC/Fd2c0UVTnz9Mw69+yVqsvKckCURERERXSxjaTkOvjVLFo9/9C54xEU3fUJErYRDxc3y8nIAgL+//0VfY/2nlzRvqBMR2SfabDj4xkyYSsslca/EeMQ+dPslr5dTYUBehXTXZpiXK0K9uAuDiMhZBEFA4PW90O2dZxDY72q7c4zFpTjy8Xc4+vkPMJZWNHGG1FZUn8zCgdc/lcWj7hiB4EF9nJARnU3pokX0hJFIenUq3KLD7c6pOpaBA699goz5y2CpqbU7h4iIiIicRxRFHHrnS5jKpL/X+fZMRNTt5z/mj4jOz6HippdXXYuc3NzcC8z8V3p6OoB/d3ASEZHU6YUrUbxznySmctehy+tP2T2n7XxEUbR71mbPSJ/LypGIiBqH2t0N7e8fh84vPgrX0CC7c0qTU5Hy8v+Qu2YLbBZrE2dIrZmpogp7n30XVr307Ebvrh0QP+VuJ2VF9rhHhyPpP1MRPWEklC4u8gmiDfnrt2P/Sx+gcOseiDZb0ydJRERERHZlLVmDom17JDGVpzuSXn0cgsKh0gwR/cOhv0Ht27cHABw4cOCir/ntt98A/Hv2JhER/avicDqOzfpRFu/8wmToQgMveb2s8loUVElvWEb46BDsaeemGBEROY1nfAy6vP4UIm8bDoVaLRu3Gow4/fMKHHj1I5QfOu6EDKm1sVmtSHllBmpzCyRxjZ8Pur4x/ZIfqKIrT1AoEHLT9ej27rMIuK6n3Tnmymqkf/cLDr39BWpO5zRxhkRERER0rspjGTj66VxZvPNzD8MlkBvAiC6XQ8XNwYMHQxRFzJw5E2az+YLzN23ahMWLF0MQBAwdOtSRlyQiarXM1TU48OpHEM/ZlRN+600IvuHaS15PFEXssbNrsxd3bRIRNUsKlRJhwweg61tPw7tLR7tzavMKcfh/X9e1qi2Wv8cTXayjn8xF6Z5USUyhUaP7e8/CJcDXSVnRxdB4eSD2wdvR+aXHoIsItTunKv00Drz+GU7OWwpLjb6JMyQiIiIiALDoa5HyygzYTNLaScjQfg7d6yMiOYeKm4899hh0Oh1yc3MxadIkmEymBufOnz8fo0aNgs1mg4+PDyZNmuRwskRErY0oijj45izos/MlcbeYCHR48j6H1jxdqkdxtVESi/Z1Q4C71tE0iYioCbgE+KLDU/chfuq90Ph42Z1TmpyK/S/9D9nLN8B2EQ8ZEp0te9l6ZC76Qxbv/MJkeHeOd0JG5AjPuGh0+b8nEHPXrVDq7JylLtpQsHEH9j3/PvLX/wXRyrbWRERERE1FFEWkvT8b+qw8SVwXEYJOzz7kpKyIWh+HiptBQUGYMWMGRFHEggUL0L59ezz++OP143PmzMFjjz2G9u3b495770VVVRUEQcBXX30FNze3RkueiKilO7VgOQo3/y2JKTRqdH1jGpQul16MbGjXJs/aJCJqGQRBgF/PRHR7+xmEDusPQamUzbGZzchaugb7X/4QpfvSIIqiEzKllqYs5TDS/ve1LB591yiEDuvvhIzocggKBYJvvBbd33kWgX2vsjvHUqNHxvzfkPLqxyg/eKyJMyQiIiJqm3JWbETemq2SmEKjRtc3p0Nl78E0InKIwweqPPzww9Dr9XjuueeQk5ODWbNmQRAEAMCHH35YP08URahUKnz66acYO3bs5WdMRNRKlO47hGOz5sviHac/AI/2kQ6tebKkBqV66W76dv7u8HPTOLQeERE5h9JFi6jxNyOw71XImL8cFYfkhQljUSmOfjoH3kkJiJ4wEq7BAU7IlFoCfU4B9r3wgawFvn/v7oh/7C4nZUWNQe3pjvaTbkNg/2uQ8eNvqDmVLZtTm1uAwx9+A5+uHRF1+wi4hvC9goiIiOhKqD6ZhcMffiOLJzx5HzzjY5yQEVHr5dDOzTOeeuop7N27F3feeSfc3NwgiqLkj1arxZgxY7Bnzx5Mnjy5sXImImrxjMVlSHnlI8Bmk8TDRgxE+KgbHVrTJopIziyXxAQI6Bnh7WCWRETkbK4hgej49ANIePxeaP3tn4dYnnoUKa/MwOlFf8BqMNqdQ22XubIaydPfgrm8UhLXRYaiy3+fgqC4rF8JqZnwaB+JpP9MRbuJY6By09mdU5ZyGCmvfIhTP/3O8ziJiIiIGpnVYMT+V2bAZpRuOgga2BsRowc7KSui1svhnZtnJCYmYv78+bBarUhLS0NhYSEsFgsCAgLQuXNnaLU8442I6Gw2qxUp//kIptJySdwjLhodn3G89356UQ3Ka6UfoNoHuMFHx12bREQtmSAI8O2RCO/EBOT8sQm5KzfCZrFI5ohWK3L/2ISibXsQMWYoAvv2YtGKYDWZsO/596HPzJXEVe469PjgBag9eGRIayIoFAga0Bt+V3VB9rL1yN/wF8RzHqQTbTbkrd2Kou3JiBg9GEEDrrHb/pqIiIiILp4oijj84TeoyciSxF1DAtH5xUfrO14SUeM5b3FzzJgxEAQBn3zyCcLDw8+7kFKpRFJSUqMmR0TUGh3/YgHK9qdJYip3Hbq9/QyUWscKkTZRxN5s6VmbgiCgRwTP2iQiai0UGjUibr0JAdf1xOmfV6B070HZHHNlNU7OWYz8DX8h+o4R8OoU64RMqTkQRRGH3vlS9plDUCrR7e1n4BYZ6qTM6EpTuekQPWEkggb2xqmfV6L8wGHZHEuNHhk//ob8P3cg+s5b4J0Y74RMiYiIiFqH7GXrkLNioyQmqJTo+tZ0PlBIdIWc93Hu3377Db/99hsqK6UtjBQKBVQqFdLS0hq4koiI7Mn/cwdOzV8miyf9Zyp04cEOr3u8sBoVtWZJLD7AHd6uaofXJCKi5sklwBcJj9+Ljk8/CJcGztnUZ+Ui7YPZOPLJHNTmFzVxhtQcpH/zC/JWb5HFO78wGX5XdXFCRtTUXEMC0XHa/eg4/QG4hgTanXPmPM7DM75FTVZeE2dIRERE1PJVpB3H4RnfyeLxj90Nr4582JToSnG4La0oio2ZBxFRq1d5LAOpb3wui8fcfSsC+119UWtYbDZkFOuxN6sMhdVGGC02aJQKZJXp4eumgY9ODYUgQBAEdOdZm0RErZp3Yjy6vjEN+eu2I3v5BlgNBtmcsv1pKD9wBME3XIvwUTc2eBYftS45KzYi/btFsni7+8chbMRAJ2REzuSdlICunWJRsPFvZP221u55m+WpR1F+8BgCruuFiNGDofX1ckKmRERERC2LqawC+174AKJZemxI4IBrEHXHCCdlRdQ2nLe46ebmBr1ej6IiPu1NRHQ5TOWV2Pf8+7AZjJK4T/fOiJ185wWvt9hsSM4sx/aTJSjTm6BRCXDTqKBSAAVVBuRV1CKrXA9XtRIRPq4YFB8ETxfu2iQiau0UKhVCh/WH/7U9kP3bOhRs3gWIds7YW7cNRX/tRfioGxE0sA8UKp6x11oV/70fh979UhYPGdIXsQ/d7oSMqDkQlEoE33gt/Pt0a/A8TogiirbtRsnf+xEypC9Ch/WHSufqnISJiIiImjmb1YqU/3wEY1GpJK6LDEXSK1N4zibRFXbetrTt2rUDAHz//fewnfuLDxERXRSbxYL9L30IwzltAV0C/dD1zWlQKM9/g9losWLJ/hwsT82FTbQh3NsFQR4ucNeq4KJWoqLWDDetCp5aFUQROFZYg+zyWhgt1iv5YxERUTOi8fJAu4lj0PW/T8Grs/2z8yw1epxasBwp/5mB0n1p7MTSCpUfOob9L/4PolX6GcCnWyd0fulR3mCh+vM4u745Hd5dOtidYzObkbPiT+x7/n3krd8Om8Vidx4RERFRW3biy59QmnxQElO6uqD7O8+yYw5REzjvzs0RI0YgNTUVP/zwA9auXYv27dtDrf53J9D9998PN7dLOxBXEARs2LDBsWyJiFqgIx/PQdm+Q5KYQqNG9/eeh9bX+7zXWmw2LDuQiwM5lQj3doVSIb0pWVxtgtla9/CJIAjQqgSEerviSH4VlqfmYXTXUKgU532OhYiIWhFdeDA6Pv0AylOP4vTPK1CbVyibY8gvwtFP58AjPgZRtw2DR2x00ydKja46Ixt7p78Da620PbEuMhTd33sOSo3GSZlRc1R3HucklB86jsxfVqImM1c2x1Jdg1PzlyF/3TZEjh0G36uSWCAnIiIiApC/cScyfvxNFk98+TG4t4to+oSI2qDzFjeff/55LF26FEeOHEF+fj4KCgrqx0RRxJ49ey7pxURR5C9DRNSmZC1bh6xfV8viiS9PgWeHdhe8PjmzHCk5FXYLmzabiPxK6Q1MQRAQ6uUCpSBgf3Y5In10uCba9/J+CCIialEEQYBPlw7w6hSHwk0Nn7FXdSwDB9+aBd+eSYgcOxSuIQFOyJYaQ21BMZKfegPmyipJXOPrjZ4zXoba091JmVFz5905Dl6vPYHiv/cja/FqGEvLZXMMhSU49sWPcF8Tiajxw+GZcOHPsEREREStVVV6Jg6++bksHnXnLQi+4VonZETUNp23uOnp6Yldu3Zh5syZWLt2LXJycmA0GnH69GkIgoCQkBDJTk4iIvpXWcphHP7fN7J4zD2jETL4+gteb7HZsP1kCXx0allhEwCKztq1eUaAuxYaZd1OTR+dGttPlqBnpDd3bxIRtUEK1Vln7C3fUHfGnlXesrw0ORWlew8hqN9VCL/1Jmi8PZ2QLTnKVFGF5KfehKGwRBJXuevQ6+NXoAsLclJm1FIICgUC+vSAX68k5K//C9kr/oRVXyubV30yE4fe/RLeSQmIHDsUblFhTsiWiIiIyHlMZRXY9+y7sOqlmw18undG/JS7nZQVUdt03uImALi7u+P555/H888/Xx9T/HOTfO3atejUqdOVy46IqIXSZ+dj3/PvQzzn3Ev/a3sgbvKdF7VGRrEeZXoTwr1dZGNWm4j8KukHKYVCQLDnv3M9tCpklxuQUaxHXCB3bBARtVUqNx2i77wFQQN7I3PxapQmp8oniTYUbP4bRTv2IWRIX4QO6w+Vq/zfH2peLLUG7H36bdScypbEFRo1un/wAjziop2TGLVICrUaocP6I7DfVcj+/c+6ByLsnLdZnnoU5alH4XdVV0SMHsxd30RERNQm2Mxm7H/pQ9nRH1p/X3R9cxoUSqWTMiNqm7iVh4iokZkrq5H89NswV0hbw+kiQ9Hl9SchXOQuyr1ZZdCoBLvtvIuqjbDY2bWpVv47VxAEaFQC9maVOfBTEBFRa+MaHICEqfcg8eXH4BEXY3eOzWRCzu8bsO+595C3bhtsdgob1DxYjSbse+49VBw6Lh1QKND1zenw7caHUMkxKjcdou8YgW5vPwP/3t0bnFeyOwX7X/4QJ75dBGMJP28SERFR6yWKIg5/+C3K9qdJ4gqNGt3ffw5aX2/nJEbUhl1w56Y933//PQAgPDy8UZMhImrpbGYz9j3/PvSZuZK4ysMNPd5/Hmp3t4teq7DaCDeN/G26staMvAo7uzY95DtsdGoVCquNF/2aRETU+nnERqPzi5NRtv8wMhevQm1ugWyOpboGpxYsR97abYgYPRj+vbtd9MM5dOVZTSbsf/F/KN0j34Wb+OKjCOx7lROyotbGJcAXcY/ciZAhfZH5yx+oOHxCPkm0oWjbbhTv3Ifggb0RevNAaLw8mj5ZIiIioisoc/EqZC9bL4snvjIVXh1jnZARETlU3Jw4cWJj50FE1OKJoohD73wpe4pLUCrR7Z1nL/lcIqPFBtU595HLa804WVwDURQl8SAPF6iU8h2eSkXdOkRERGcTBAG+3TvBp2sHFG1PRtbStTCVVcjmGYtLceLrn5GzciMiRg+Gb4/OLHI6mc1iwYH/fIziHXtlY/FT7kbYiIFOyIpaM/focHR67mGUHzqOrF9XozojSzZHtFiQt24bCrbsQshN1yN0aH+o3FydkC0RERFR4yrelYIjH8+RxdtNHIOQm65r+oSICICDxU0iIpI7OedX5K7aLIt3fmEy/HomXvJ6WpUC5rNaz5bWmJBRqgfOKWyqlQoEemjtrmG11a1DRERkj6BQILDvVfC/phvy1m1Hzso/Ya01yObV5hbg2Mwf4BYZiogxQ+HdJcFu23S6skSbDamvf4bCLbtkY+0mjkHM3bc2fVLUZnh3joNXp1iU7UtD5q+r7e76thlNyFnxJwo27kTo0H4IvvE6KF3sf04lIiIiau5qTucg5ZUZgE26cSCw39WIffgOJ2VFREAjFDfLysqwY8cOpKeno7KyElar9YLXvPrqq5f7skREzUrumq04MftnWbzdxDEO76AIdNfiWFEV3LUqFFebcLpUD0Ba2FQpFYgLcIdKYf8Gs95sQbg3W4MREdH5KTRqhN08AEEDrkb2738if8NfEO2ct1mTmYsjH38Hj/ZRiBg7hC2YmpBos+HgmzORv367bCzqjhGIfeROJ2RFbY0gCPDt0Rk+3TqieOd+ZP22FsaiUtk8S40emb+uRu7qLQgd1h/BN1zLIicRERG1KMbSciRPewuWqhpJ3D02CkmvPc6ONkRO5nBxs6KiAs888wx+/PFHmEymS7qWxU0iak1Kdh/AwTc/l8WDb7zusp7i6hHhg4N5lSioNCC7vFY2rlEpEBfgARe1/Q9ToijCaLGhR4SPwzkQEVHbonLTIfqOEQi58TpkLVuPou3JgChvb16Vfhpp78+GV6c4RIweDI/YKCdk23aINhsOvfeV3Q4REWOHIOGJidxJS01KUCgQcG0P+F3dBYVb9yB72XqYKypl8yw1emQuXoXcVZsROmwAgm/owyInERERNXtWgxF7n30XtXmFkrjaywPd33seKh3b7xM5m0PFzZqaGgwYMAAHDhyQnft2Ifylm4hak8qjGdj3wvsQLdJd615JCUj8z5TLeoorxl8Hi01EVple1lpWq1IiLtD9vC1nq4wW+Oq0iPHXOZwDERG1TVp/H8Q+cBvCbh6A7N/WoXhXiqwtOgBUpB1HRdpxeHfpiMgxgy/5fGm6MNFmw8G3v0Duyo2ysbARA9Fx+gP8HYucRqFSIXhgbwRe1xP5G/5CzsqNsNToZfPqipx/IHf15rqdnINY5CQiIqLmSbTZkPLqx6hMOyGJKzRqdH/vOehCA52UGRGdzaHi5kcffYSUlBQAQIcOHfD444/j6quvhq+vLxTcjk1EbYQ+Ox/J096EVS89m8w1NAg93nsOSo3G4bVFUcS+rHKolUCt2Qq1UoDinxuXLuq6wqZG2fD7rdUmokxvxsikUKj4vkxERA5yDQ5A3OQJCL15ILKXrkXpvkN255UfOIzyA4fh070zwkfeCPdoFjkbg81qxcE3Pkfemq2ysZDB16Pzi4+yHRY1CwqNGqHD+iOw/9XIW7sNeWu32j2/11Jdg8xFfyBv9RaEDO3HIicRERE1O0c+noOirbtl8cRXpsKna0cnZERE9jhU3Fy8eDEAoGfPntiyZQtcXbkNm4jaFmNpOfY89SZMZRWSuNrbEz0/fgUaHy+H1xZFETtPlSI1twKhXq6oqLWgoNIADxcV3LRqxAW4Q61seIeG1SYip9yAbuHe6Bnp7XAeREREZ7hFhCDhiYmozshC1pK1KD941O68sn2HULbvEHy6dkT4qBvhHhPRxJm2HjaLBamvf2b3jM2ggb2R+CrP+aHmR6VzRcStNyHkpuuRt24b8tZshdUgL3Kaq6rri5yhw/ojaGBvFjmJiIjI6U79vAKZi/6QxeOn3I2Qm65zQkZE1BCHipvp6ekQBAEvvPACC5tE1OZYavRInvYWanPyJXGlzgU9Z7wMt4gQh9cWRRFb00twpKDuzCKFICAhyB0AUF5rRqynFg11ohVFEVVGC8r0ZnQL98bIpBDu2iQiokblHhOBjk8/gMqjJ5G1dC0qj560O68s5TDKUg7Du0sHhI+8ER7tI5s405bNZjYj5dWPUbjpb9lY8E3XI+m1x6FQKp2QGdHFUbmdKXJe989Ozm0NFjlP/7ISOSs3ImRwXwTfcC1UbrzHQERERE0vf+NOHP10riweMWYIou8a5YSMiOh8HCpunmk92759+0ZNhoioubOaTNj3wgeoOpYhiQsqJbq/+xy8Otp/X7TYbMgo1mNvVhkKq40wWmzQqhQIdNeiR4QPYvx1UAgCNh0vwomiasm1KoUCN8QHws9dg79PlSG73ACNSoBOrYJSAVhtgN5sgckiwkenwcikUPSM9GZhk4iIrhjPhHbo9PwjqEg7jqxf16A6I8vuvPIDR1B+4Ai8ExMQPuoGeMRGN22iLZDVZELKyzNQtG2PbCxkaD8k/Wcqd2xSi6Fy0yFi9GCEDL4euWu2In/dNlgNRtk8S40eWUvXIHfVZgTf0Achg/tC7enuhIyJiIioLSrZk4oDr30MiKIk7n9tD3SYPoln3BM1Qw4VN9u3b4+UlBSUlZU1dj5ERM2WzWJByisfoXRPqnRAEJD06hPwu6qL7BqLzYbkzHJsP1mCMr0JGpUAN40KKgVgttpwrKgKB/Mq4a1Tw1WthEJA/dmaZ0T46HBTQiBUSgWuifa1WyQN9/aoL5KyqElERE1BEAR4d46HV6c4lKceRfay9ag+mWl3bvnBoyg/eBReneIQPupGeMbHNHG2LYOlRo99z72P0r0HZWNhtwxC5xcms7BJLZLKTYfIMUMQOqQvcldvQf767XaLnFaDATkrNyJv7TYEDbgGIUP7Q+vr+HEPRERERBdScfgE9j3/HkSzRRL3SGiHrm9MY8cUombKoeLmbbfdhv3792P16tUYOHBgY+dERNTsiDYbUv/7ud0DxTs8dZ/dvvtGixXLDuQiJacCPjo1wr1dZE96uWtVsFptOFRQhaIqI4I9XZAQ5F5foIzxc8Og+EAoFXXXqRQKxAW6Iy6QT7ITEVHzIAgCfLp0gHdSAioOHUf2b+tQlX7a7tyKtOOoSDsOz4T2CBsxEF6d4/gU9D9MZRVInv4WKo/IW/2Gjx6MTs88yMImtXgqNx0ixw5FyJC+yFuztcEip81sRt66bcj/cwcCr++F0OED4BLo54SMiYiIqDWrOZ2D5GlvwaqXts93DQlEz/+9CJWO7fKJmiuHiptPPPEEvv/+e8ycORN33XUXunSR71YiImotRJsNh979EvnrtsnGYu4djajxN8viFpsNyw7k4kBOJcK9XeuLk+ey2kScKNHDbLHB00WFgsq6D1Mdgz0QH+iBAXEBsp2cREREzZEgCPBOjIdX5zhUpJ1A9vL1sjbuZ1QeTUfl0XS4RYcjbPgA+PZMbNOFu9r8Iux58g3oM3NlY5HjhrEVFrU6anc3RI4ditCh/ZC/4S/krd0GS41eNk+0WlGw+W8UbNkN/97dEHbzQOjCgpyQMREREbU2hsIS7HnyDZgrqiRxjY8Xen7yH2j9fZyUGRFdDIfuILi5uWH16tWIiIhAv3798Omnn6K0tLSxcyMicjpRFHHko++R8/ufsrGIsUMRN3mC3euSM8uRklOBMG+XBgubFquI40XVqDaYAdS1o/VwUSG/0gCVUoGBLGwSEVELVNeuNg6dX5iMTs89DM+Edg3OrTmVjWOzfsT+lz9E4dbdsFksDc5trapP5eDvh1+2W9hsd/84FjapVVO56RA+8kb0+N+LiLp9BNReHvYnijYU79iLlFc+xJFP5qDyWAbEc87EIiIiIrpYpooq7HnyDRgKiiVxpZsren70CtwiQpyUGRFdLId2brZrV3eDQq/Xo7KyEtOmTcO0adMQEBAAnU533msFQUB6erojL0tE1KREUcTxLxYgc/Eq2VjozQPRsYGbjRabDdtPlsBHp26wsGn+p7BZa5LexFUIAsK9XVFZa4ZVFKHizUwiImqhBEGAV8dYeHWMReXRk8heth4Vh0/YnWvIL0L6d4uQtXQtQob0Q1D/q6F00TZxxk2vIu04kqe9DXNllWws4an7EX27vDsEUWukdNEidGg/BN/QB4Vb9yD3j00wlpTZnVu2Pw1l+9Pg3j4KocP6w7d7pza985uIiIgujaVGj+Tpb6HmVLYkrtCo0eODF+CZEOOkzIjoUjhU3Dx16pTk+zNPTBYWFl7wWj51TEQtRfq3i5Dxw1JZPPjG65D40qMN3kTJKNajTG9CuLeL3XGT1YbjhdUwmK2ysRAvVwR7aJFTYUBGsZ5naxIRUavgmdAOnZ57GFUnTiFnxUaUpRy2O89UVoHTP/+OnN83IGTw9Qi+4domzrTpFG7ZhZRXP4bNaJIOKBRIemUKQof1d05iRE6kUKsRPKgPAvtdjeKd+5CzciMM+UV251ann8axz+fBJcgfoUP7I+C6HlCo1U2cMREREbUkFn1t3Tn3aec8dKlQoOsb0+DbvbNzEiOiS+ZQcbNfv34sUhJRqyWKItK/+QXp3y2SjQVc3wtJrz1+3qfD92aVQaMS7L5P6k1WnCyugdEiL2yGebsi2LOuIKpRCdibVcbiJhERtSoesdHo8NT9qMnKQ+7KjSjedQAQbbJ5lho9spauRe6qzTB0bQ/jOO9WdeZN5uJVODzjO+CctpoKjRpd35yOwL5XOSkzouZBoVIi8PpeCLi2B0r3HET2ij+hz5K3bgYAQ0ExTs79FVlL1yD4xusQPKgPVG7n7yhFREREbY/VYMS+Z99D+YGjsrHOL0xGYL+rnZAVETnKoeLmpk2bGjkNIqLmQRRFnPh6IU5+v1g25ndVF3R9azoUqvO/dRZWG+Gmkc6xiSLyKgzIrzLKbmQCQISPDoEe/7bf06lVKKw2OvhTEBERNW9uESGImzwBEWOGIPePTSjcngzRznmbVoMR5m37sXfXEfhdlYTQYf3hHh3uhIwbh2iz4ejnP+D0T7/LxpRurujxwQt8WpzoLIJCAb+ru8D3qiRUHDqO3FWbUZF23O5cc2U1spasQc7KjQjqfw1Cbrq+VT0UQURERI6zmkzY9/z7KN17UDaW8MREhN8yyAlZEdHlcKi4SUTUGomiiBNf/YSTc5fIxny6dUK3956DUqO54DpGiw2qszZ2VhksOF2mh9FOG1pAQJSvDv7u0nWVirp1iIiIWjOXQD+0u28swm+9CXlrt6Jg405YDXYe7hFtKNmVgpJdKfBMaI/QYf3gnZTQos7ZsxpNSH39UxRs3Ckb0wb4oueMl+ERG+WEzIiaP0EQ4J0YD+/EeFSfykHuqk0o2Z1qd+e3zWhC3tqtyFu3Hb49OyN0SF+4t49i9ykiIqI2ymY2I+XlGSjZlSIbi5s8AdF33uKErIjocrG4SUSEusLm8S8XIGOe/IxNn+6d0ePDF6FytX+G5rm0KgXMVhssVhHZFbUoaWgHpiAgxlcHXzd5wdRqq1uHiIioLdB4eyJq/M0Iu3kg8jfsQN66bbBU19idW3k0HZVH0+EaEojQof3g36d7sz9nz1hchn0vfoCKg8dkYx5x0ejxvxfhEujnhMyIWh736DDEP3oXDONKkbdmCwq37IbNbJZPFG0o3ZOK0j2pcI8OR/DgvvC7qgsUKmXTJ01EREROYbNYkPLqxyjatkc21n7SbWg3cYwTsiKixsDiJhG1eaIo4tjMH3Fq/jLZmG/PRPT434tQumjtXGlfgLsGyVnl0JussFjt7750USsR5auDu9b+27DebEG4t8dFvyYREVFroHLTIXzkDQgZfD2KtiUjd+0W1OTm251bm1eI9O8XI/PX1Qi+4ToEDeoNtbtbE2d8YRWH07Hv+fdgLCqVjfld0w3d3n4aKp2rEzIjatlcAnwRc/etCB91E/I3/IX8DX81+FBE9alsnJj9EzJ/WYngG65F4IBrmuX7BRERETUem9mMlP98jMLNf8vGou8ahfYPjndCVkTUWFjcJKI2TbTZkPa/b5C9dK1szLdXEnp88AJEjRrHC6uxN6sMhdVGGC02aFUKBLpr0SPCBzH+Oqj+aYtXbbTAYLYhq0wPT61K1v5KEASEeLogyNMFigY6Y4miCKPFhh4RPCOIiIjaJqWLFsE3XougQb2xfd0GuO8+hur003bnmiurkbV0DXJW/An/a3sg5MbroAsPbuKM7ctbvx0H35wJm9EkGwsbeQM6PfvQBc/yJqLzU3u4IeLWmxA6rD+Ktu1B7potdh8mAABTeSUyf12N7OUbEHBtDwQPvh660KAmzpiIiIiuNKvJhJSXPkTR9mTZWORtwxE/5W62rCdq4S74m/SgQY17mK4gCNiwYUOjrklE5AibxYKDb3yOvLXbZGN+V3VB0nvPY09+DbafLEGZ3gSNSoCbRgWVAjBbbThWVIWDeZXw0WnQJ8YXOrUSe7PLYbRY4apWwmQVoVX9+0HJ3UWNKB8dXNTnbzdbZbTAV6dFjL+u0X9mIiKilkRQKKBOikXSkJtQdeIUcldtQem+Q4AoyubazGYUbv4bhZv/hlfHWATfeB18unV0yrmcos2G9G8XIf27RXbHYx+5E+0mjuENFaJGpNRqEHzDtQga2Btl+w8jb+02VB5NtzvXZjajYPPfKNj8N7wTExAy+Hp4Jcbz7yQREVErYDWasP+FD1C8c59sLPzWm9Bh2v38N5+oFbhgcXPTpk2N9pddFEW+cRBRs2A1mZDy8gy7Pff9ru6KTm8/i2WHC5GSUwEfnRrh3i6y9y93rQqiKKKo2oQvt52Et6saCUHuUCkUiPBxxdGCaqiVAtRKBcK9dfBz0+BCb4FWm4gyvRkjk0Lrd4MSERER4BEbjYTHo1GbX4S8tdtQtHU3bBaL3bkVh0+g4vAJaP19EXzjtQi8/iqo3Jqm9atFX4vUNz5H4SZ5+yulqwuSXn0cQQOuaZJciNoiQaGAb4/O8O3RGTWnc5C3bhuK/06B2MD7RfnBoyg/eBSuIYEIGtQHAdf2YKtoIiKiFspqMGLvs++idE+qbCxizBB0fPoB1ieIWomL6oEk2nkymoiopbLoa7Hv2fdQuvegbCxwwDXo9NoTWJZWiAM5lQj3doWygf6xNlFEXoUB+VVGaJQCCioNAICOwR4I9XJFRa0FNUYrOgR5wEWtvGBeVpuInHIDuoV7o2ek92X9jERERK2Va3AA2t07GhGjB6Ng4w7kr/8L5qpqu3ONxaU4/fMKZC1Zi4DreiL4xmuvaAvK6oxs7H/xA9SczpGNuQQHoMf7z8MjLvqKvT4RSblFhSH2wdsRedtwFPy5AwUbdzb4flGbV4hT85chc/EqBPTpgaBBfeAWEdLEGRMREZGjLPpa7H36HZTtT5ONRY6/GR2euo+FTaJW5ILFzYyMjKbIg4ioSZjKK5H89NuoTDshGwsdPgCdX3oUu7MqkJJTcd7CZpXBgtNlehjNVgCAQhDg4aJCfqUBXq4qJAR6Ykq/9kjJqcD+7HL46NTwsHMGJ1D3AEmV0YIyvRndwr0xMimEuzaJiIguQO3hhvCRNyJ0WH8U70xB3rpt0Gfl2p1rM5lQsHEHCjbugFfneITcdB28kxIatWVt/oa/cPDtWbDqDbIx764d0O3tZ6D19W601yOii6fx8kDE6MEIGzEQxTv3I2/tVuiz8+3OtRlNKNi0EwWbdsIjPgbBg/rAt2ciz8clIiJqxkwVVdj79NuoOHRcNhY9YSTip97DwiZRK3PBT+dRUVFNkQcR0RWnzylA8rQ3oc/Kk41FjhuGDtPuhxXA9pMl8NGp7RY2LVYR2RW1KKk2ysYUggBXtRK1JhtGdw2FTqNCO383RProsP1kCbLLDdCoBOjUKigVgNUG6M0WmCwifHQajEwKRc9IbxY2iYiILoFCrUZg314IuL4nqo5lIG/9dpQmHwJEm935FYeOoeLQMbgE+iNoYG8EXN8Tanc3h1/fZrXi2Mwfcfqn3+2Oh90yCJ2efQgKtdrh1yCixlH3fnEVAq7vhcrD6chbtw1lKYftnuMLAFXHMlB1LANqLw8E9bsagQN6Q+vr1cRZExER0fkYCkuw56k3UZORJRuLuXc04iZPYGGTqBXio4dE1CZUHjmJ5OlvwVRWIRtrd99YxD58BwRBQEZhNcr0JoR7u8jmlenNyCzTw2K1f7PURa1EfKA7ymstyCk3IC6w7vzNa6J90TPSGxnFeuzNKkNhtRFGiw1alQLh3h7oEeGDGH8di5pERESXQRAEeCa0g2dCOxhLypD/5w4Ubt4FS43e7nxDYTFOL1yBrF9Xw+/qrgga2Bvu7SMv6caHoagUB1792G7rK0GlRMenH0D4qJt4M4WomREEAV6dYuHVKRa1+UUo2LgThVt3w1or33kNAOaKKmT/vgHZKzbCt0dnBA/qA8+O7fl3m4iIyMlqMnOx58k3YMgvko21f2A82j9wG/+9JmqlWNwkolaveOc+7H/5Q7tt4uKn3oOYu0bVf783qwwalSD54GMTRWSX1aLIzm5NoO7mSIinC4I8XaAQAL3Zir1ZZYgLdK+fo1IoEBfoLokRERHRlaH180HUbcMRPvJGFO/Yh/z126HPaaAFpcWCor+SUfRXMnQRoQge1Bv+vbtD6aI972sU7diH1P9+BnN5pfz1A3zR7Z1n4N05vlF+HiK6clyDAxB95y2IGD0YxX+nIH/DXw22uIZoQ2lyKkqTU+EaEojA/tcg4Loel7X7m4iIiBxTeSwDyU+9aXcjQ/yUuxFz961NnxQRNRkWN4moVcv5YxMOvf0FRKtVEheUSiS+/BhCh/WXxAurjXDT/PvWaLLYkF5cA73JYnd9dxc1onx0cFH/u+tSp1ahsIFCKBERETUdpVaDoAHXILD/1ag8ko68ddvrdlk20IJSn5WLk3OX4PTClfDv0wNBA3vDLSJEMsdmNuP4lz/h1ILldtfw7ZmIrm9Mg8aHrSuJWhKlixZB/a9GYL+rUJ1+GvkbdqBk9wHZ7xFn1OYV4vTPvyNr8Sr49kpCYP+r4ZnQjrtDiIiImkDp/jTse/ZdWKrP6dKiUKDz848gfOQNzkmMiJoMi5tE1CqJooj07xYh/ZtfZGNKnQu6vfMs/K/uKhszWmxQ/VOnrKw1I6NED4tN3oZWqRAQ7q2Dn5sG596/UCrq1iEiIqLmQRAEeHWMhVfHWBiKSlGwcQcKt+xusGWt1WBEwcYdKNi4Ax7toxA44Bq4t4uEPqcAqa9/isq0E3avi7lnNGIfuQMKpfJK/jhEdAUJggCP2Gh4xEYj6o4RKNyyCwWb/oaptNzufJvFguKd+1C8cx9cgvwR2O9qBFzXExovj6ZNnIiIqI3I3/AXUv/7GWwmsyQuqFXo8vpTCB7Y20mZEVFTYnGTiFodq8mEg2/OQv66bbIxja83es54GZ4JMXav1aoUMFlsyK0wIK/CAEC+s8PTRY1oPx3USvtnZFptdesQERFR8+MS4Iuo8TcjYvRglOxJRcGfO1F14lSD86vST6PqxGnYrFaoPdzs7spSeboj6ZUpCOx71RXMnIiamsbLA+G33ICw4QNQlnIY+Rt2oCLteIPzDQXFyFz0B7KWrIFP904IGnANvDrGQlDwdwMiIqLLJYoiTv+8Akc/myfrxKJ0dUH3956D31VdnJQdETU1FjeJqFUxlpZj3wsfoCL1qGxMFxGCnh//B7rQwAav93FVY0t6Mew3kxIQ4uWCEE8X2W7Ns+nNFoR780ltIiKi5kyhViOgTw8E9OmBmqw8FGzaieK/9sJquLTW8j7dOqLL60/BJdDvCmVKRM4mKJXw7ZEI3x6JqM0rQsGmnSjantzg7m/RakXpnlSU7kmF1t8Xgf2uQmDfq6Dx9mzizImIiFoH0WbDkY/nIHPRH7Ixlac7en30Mrw6xTkhMyJyFhY3iajVqErPxN5n3oEhv0g25pWUgB7vP3/eGwpF1UaU6M2oNJjhqVVJdmaoFArE+Ong6ao+bw6iKMJosaFHhI/jPwgRERE1KbeIELS7ZzSibhuO4p37kP/nTuizcs9/kSCg/f3j0G7SOLahJWpDXEMCEH3nLYgcNxSlyYdQsPlvVB5Jb3C+sbgUWUvWIGvpOvh07YCA63vBp2sHKFS8HUNERHQxrEYTDrz2CQo3/y0bcw0JRI8ZL8M9OswJmRGRM/HTNBG1CkV/7UXKf2bAqjfUx6yCgCIPX5T07QvVtVdhW3I+tKpCBLpr0SPCBzH+OqgUCoiiiCMFVdh+sgRalQBXtRImqwitqq64qdOo0N7fDZqLaDVbZbTAV6dFjL/uiv2sREREdGUoXbQIGtAbgf2vQXV6Jgo27kTJrhTYzBbJPI2fD7q8/iT8eiY6KVMicjaFWg3/3t3g37sbavOLULhlF4q2J8NcWW3/AtGGsv1pKNufBpW7GwL6dEfA9b3gFhnatIkTERG1IMbScux7/n1UHDwmG/Ps0A49/vcitH7cYEDUFrG4SUQtmiiKODl3CU7M/rm+375VEJDhH4ZjwZEQOneEX3wU3CBApQDMVhuOFVXhYF4lfHQa9I72Qa3ZhvTiupsQCkFAhI8rjhZUQ60UEOThgnAfVyjO14f2H1abiDK9GSOTQqHiuTpEREQtliAI8IiNgkdsFKIn3IKiv/aiKj0TPl07wj0mHEEDroFK5+rsNImomXANDqg7y3fMEJTtS0PB5l11Z3Oecx7YGZbqGuSt24a8ddugiwhF4PW94N+7G9Se7k2cORERUfNVeSwD+559F4bCEtmYf58e6PrmNH4mJ2rDWNwkohbLoq9F6hufo3DTv20pzAolkqM7IjMgFFFd4xEUFyFpLwsA7loVRFFEcY0ZX27LgI9OjYQg9/qCZKiXK6oNVlhFEWHeF1/YzCk3oFu4N3pGejfqz0lERETOo3LTIXhQH/h064TgG69lC1oiapBCpYLfVV3gd1UXGIpKUbhlFwq37oG5orLBa/RZuTj103Kc/mUlfLp2RMD1veCdlACFiu81RETUdhVs3oUD//cJbAajbCz81pvQ8ZkH+bmcqI1rccXNqqoq7N27F3v27MGePXuQnJyMEydOQPzniciMjAxER0df9Hq//vor5s6di71796KoqAi+vr5ITEzEhAkTcO+990J5kW+SR48exaxZs7BmzRpkZ2dDqVQiKioKI0aMwJQpUxAWxr7fRI2pJjMX+174ADUZWfUxqyAgObojsoIjkXh9EtwC/Rq8vqLWguxyPbQqAQWVda1sOwZ7QCEI8NFp8NyNCdh6shj7s8vho1PD45wzOM8QRRFVRgvK9GZ0C/fGyKQQ7tokIiIiImrjXAJ8ETl2KCJuvQllKUdQtG0PylIOQ7TZ7M4XrVaU7j2I0r0HofZwh/+ZtrURIU2cORERkfOIooiMeUtx/MsFdsfjJk9AzL2j7d6jI6K2pcUVN/v164f9+/df9jp6vR633347VqxYIYnn5+cjPz8f69evx+zZs7F8+XIEBAScd63Zs2fjySefhMFgkMRTU1ORmpqKL774AvPmzcMtt9xy2XkTEVC0Yx8OvPoRLNV6STzDPwy5MXHoen1XaD3sn3kpikBORW19QVMhCPBwUSG/0gAvVxX6tg9A/9gAaFQKjO4aikgfHbafLEF2uQEalQCdWgWlArDaAL3ZApNFhI9Og5FJoegZ6c3CJhERERER1ROUSvj26AzfHp1hrqxG0Y59KNq+B/qsvAavMVdVI2/tVuSt3QpdRAj8e3eHf+9u0Pp6N13iRERETcxqNOHQu18ib/UW2ZhCq0HSa08geGBvJ2RGRM1RiytuimedWeHl5YXu3bvjyJEjyM/Pv6R1JkyYUF/Y7NWrF6ZPn464uDhkZWVh5syZ2LBhA3bu3IkRI0Zg69at0Gg0dtdZsmQJJk+eDFEU4enpieeffx4DBgyAxWLBH3/8gY8++gjl5eUYP348Nm7ciN69+QZM5CjRZsOJrxfi5NwlsvNrrIKA3GuvQ2yPRGjdtHavN1ttOFmiR7XBLIkrBAGuGiUsVmBAnD/UyroCpUqhwDXRvugZ6Y2MYj32ZpWhsNoIo8UGrUqBcG8P9IjwQYy/jkVNIiIiIiI6L7WnO0KH9EXokL6oycxF0bY9KNqxD5bqmgav0WflITMrD5mLV8Ezvh38+3SHX68kqNx4xhgREbUetXmF2Pfi/1B19KRsTBvgix7vvwDPDu2ckBkRNVctrrg5adIkBAQEoFevXoiNjYUgCBgwYMAlFTeXLFmCZcuWAQAGDBiA1atXQ6utK4b06tULo0aNwj333IMFCxZg165dmDlzJqZNmyZbp6amBlOnToUoinB1dcXmzZvRrVu3+vF+/fqhf//+uPnmm2EwGPDoo48iOTkZChZBiC6ZsaQMB179BKV7D8rGBKUS/9/encfHVR72/v+cM2f2kTTardXyIhu8YxsMIWAgZAESB2JoCfRmaQs0axNCmza/JDdpL2luyIXcm3AvWW4h9IamBUIhIYGEhL0YYgPeMLaRF0mWZG0zkkazzzm/P2SPJbRYsuVF+Pt+vfTS0TnP8+g5Aj8azfc8zxP69CcxCuooDIz9IEIslWVP9yCZ3OhloCyXSWN5iL5kln09CRorQiOvmyaNFaFR50VERERERI5FsL6a4A3rqP+TK4ctW/smOGMvW4vj0L+zif6dTez9f/9B8fKzKbvgHIqXLcR0u09u50VERKZRzx+3sPmrd5HpHxh1rXDRfFb+9y/jLSs+BT0TkdPZjAs36fkwuAAATqNJREFUP//5zx93G//0T/8EgGEY/OhHP8oHm4eZpsndd9/NY489RiwW47//9//OX//1X48KJe+77z7a24eWkvnSl740Itg87IorruCGG27gZz/7Ga+//jq/+c1vuOqqq477HkTOJD2btrHla3eRjvSNuuYpLmL57bfyO7sQb9fAqDX3szmHgwNJOgZSo2Z7AoS8FnPLgrhdJolsjldbIgoxRURERETkpDAti9JVSyhdtYR03wDdG16j6/mNxA+M/wC3k83Su2krvZu24gr4KT13GeUXnENBYwOGHqYWEZEZwnEc9v3sUXb9nwdgjD2pZ7333Sz5/z6Nyzv2RAYRObPNuHDzeO3bt4+NGzcCcOmll9LY2DhmuXA4zLXXXst9993HwYMHef7551m7du2IMg8++GD++Kabbhr3e95000387Gc/A+Chhx5SuCkySY5ts+f+R3jrx/825oucoqULWf6PX8RfWUbns28R9BwZ0rI5h85YioMDSWx7dKgJUFnoo6bIz+E8NOC26IylTsi9iIiIiIiITMRTVED1+y+m6n0XEW9uo+ul1+h5+XXS0f5x6+TiCTqffZnOZ1/GUxKm7LzllJ63jGBD7agHP0VERE4X2XiCrf/4AzqfeXn0RdOk8ZaPMue/XK3fZSIyrjMu3HzuuSMbEl966aUTlr3sssu477778vWGh5vZbJaXXnoJgHnz5lFfXz9uOxdccAE+n49kMjni+4vI2LK2zZu72vj1fb+mo7uf7JILsHI5ChMx5nS3Uz7Qy9zrP8iCT9+IaQ0NY6msjWVOLtQ0TYOGkiDFgZHLN7nMoXZEREREREROFcMwCM6uITi7htl/ciV9O5ro3vA6vRu3kEuO/zBmujdK2xPP0vbEs/gqSik9dxml5y0nUFelN4dFROS00b9rL5u/eifxlvZR19yFBSz7xy9Qdt7yU9AzEZlJzrhwc/v27fnjRYsWTVh2+PXh9QB2795NOp2eVDsej4f58+ezbds29u7dSzweJxAITLXrIqe9rG2ztzvOqy0ROmMpUlkbr2VSEfKysq6YOWUBrAmWScraNpuao/zuuW3se30XrmQar+nCsG2ypov2ojIOVNQw+5yFlF68BNs0Odyay4D2vhT9qcy4oSaA3+1iblkIn3t0P3I2eC0t4yQiIiIiIqcHwzQJL24kvLgR+79cTeT1HXS99CrRrTtxcrlx6yU7ezjw+NMcePxpfLPKKTt3GaVrVhCoqTyJvRcRETnCcRxaH/0db951L3Y6M+p6wcK5rPjWbQSqK05B70Rkpjnjws3m5ub88USzLQHq6urGrDfVdg63tW3btqFBvLWVBQsWTLbLIqe9w6Hki3t6iMTTeCyDoMfCMiGTs9nVNcC29n6KAx4unFvKqvrwqJAzlc3xyKYWXnh2M0bTHoozad7+bHFROEjlJWtIer08trWN5kic951Vye6uGM2RBF0DSYLesYc1yzSpLPRSEfJimmM/tRzPZKkNF0zHj0RERERERGRamR43pecto/S8ZWRig/T8cSvdL73GwO69E9ZLdnTR+svf0/rL3+OvrqRszXJKz1uOf1b5Seq5iIic6bKDcbZ/+4d0PPXimNerr7qURX9zk/bXFJFJO+PCzYGBgfxxKBSasGxBwZGQY3i9qbZztLYOu/POO7nzzjvzX8fjcZ588smjti1yKmVs2NRrsH/QJGg5+ExIGfD2/8sdB/basO2t/cwO2qwqcTg8eTLnwMtvxdj7VjdF3Z2YjkP6bfVddbNg4Wyauw4CkLXhwZYOHn35TWb5HFI5iA4aJE0YvuKSy4BCD/gth1gSYp1j34fjQG8G6pM2T3a/MS0/G3lnSCaT0zIW55IpjI4+RqX2IiIyoXQux8ttE79xf8I5Q3uBu5566tT24wyh35kik7SwEhZ+AHr7yLy2k+zm3dgd3RNWGdzfQvf+Fvj3X2FWlWEta8S9tBGzonjcOqfFOCwipy+9Tjrhput9iVMl13qQ+P2/wu6Ojr7oMvFfcxkHVs+j7ZmnT3rfRGTmOuPCzUQikT/2eCZ+EsTr9Y5Zb6rtHK2tw2699VZuvfXW/Nfl5eW8//3vP2rbIqdK1rb5xesHyGT7Obfeh2ucGZHD5WyHA9EkiVlFfGB5NaZt8+iPfknL7m4qBvow3/bvyeX1UHHxuQTrq4e+57A9NYu8Nv3JLIHyEPOL/CT29eI4Q0vLHp6pWR7yTqpf/ckMVYbJjZfMm3DpXDnzPPnkk8c9Ftu5HB1P/SfekiIMl2uaeiYicmZ4uW0va6rnnNI+OLkcqd4+Zl3+LkyN4yeUfmeKHINqYMkK+C8QbztIzytb6HllM4n2cZ7sPKy7H/6wCf6wCW91JaWrllCyeumoPTpPh3FYRE5fep104k3H+xKngmPb7HvgMXbf9zgFWRsKC0dcD9TOYvl/+xKFC/U7RkSm7owLN/1+f/748J6Z40mlUmPWm2o7R2tLZKba1Bxl84E+asP+SQWIAC7ToCbs4/XWKGXJAawf3scznkqChoHJyL0yAzWVVFx8HlbANyLUPLynpmkY+N0uWiIJqov81BX7easrTkOJj8rCyYWtMBS4RuIZ1i2tVrApIiIiIiIzVqC6ksDV76X2w5cTb+2g55XN9LyyhWTnxDM6E20HaW07SOsvf4+vopSSVUsoWbmE0Ny6CeuJiIiMJdHRxdZ/+AGR17aPeX3W5Rey+O9uwQoGTnLPROSd4owLN4cvDxuLxSYsO/z68HpTbedobYnMRFnb5sU9PRQH3JMOEQ8zAXNfC48+vpNlHVFijQ2UDPbnrxumQenqZRQubiTnOLT1JUeEmsN5XAb9qSzxVI4PL61hd9cA29rGXvp5LIdnkq6oDbOqPjyl+xARERERETkdGYZBsK6KYF0VdR95P/HmNroPBZ2p7t4J6yY7e2j7zbO0/eZZPMVFJOdX0XeZTWFjg2ZUi4jIUbU9+Tw7vvtjsrH4qGumx81ZX/wktR9+74hVAkREpuqMCzfr6+vzx83NzaxevXrcss3NzWPWG6udozlcxjAMamtrJ91fkdPV3u44kXia2rBvzOu24xBL5cjaNrY99HXOcUgPDNK7ZRfJ/hgDhWV0n3UuSY+XlNuDbZiYAT+BufX0+X04rdGj9sPtclFVaFFZ6GNVfTFLqgtxme283hqlOOCmwGuN+WLJcRwGUlki8QwrasOsW1qlWZsiIiIiIvKOYxgGwdk1BGfXUH/tFQzubaX75dfp3biVVG90wrrpSB+Z/+zijT++iRUKUrJyMSXnLKJoUSOmx31ybkBERGaEzMAgb9zxYzp+98KY14MNtSz75l9TuEDL0IrI8Tvjws3Fixfnj9944w0+8pGPjFv2jTfeGLMeQGNjIx6Ph3Q6PaLcWNLpNE1NTQDMmTOHQEDT7WXme7UlgscyxgwOewbTtETi5IbNtHQch2RnL4mOTrAd8AVIWRZ9/lJCqQQptxdfRRn+qjIMw8BxRs/SHG74nprxdI7e+NDy0F7LxTXLq6kvDvDinh5ao0k8lkHAbeEyIWdDPJMlnXUoDnhYt7SaVfVhBZsiIiIiIvKOZxgGobl1hObWMfv6DzK4/wC9G7fSs3EryYMTL12bjQ3S+dwrdD73CqbbTdGSBZScs4jwsrPwFGmFKhGRM1nPpm1s+4fvk+zsGfN63foPsPBzH8Pl9ZzknonIO9UZF25efPHF+eOnn36ar371q+OWffrpp8esB2BZFhdccAHPPvssTU1NtLS0UFc39l4UGzZsIJFIjNmOyEzVGUsR9IwcQnK2Q3MkTu/gyH1os4MJBlvaySWSI85btk3WdOHyuimsr8IKHH0/2uGh5uHlcF0mpLL2iDJrGkpYVR9mb3ecV1sidMZSpLI2XsukNlzAyrpi5pQFFGqKiIiIiMgZyTAMQg21hBpqqVv/ARJtnfRu2krPxm3EW9omrGtnMkRe2z60l5phUDC3nuJzFlG8YhH+6gotNSgicobIDsbZeff/o/WR34553VMSZslXP0P5Beec5J6JyDvdGRduNjQ0sHr1ajZu3MgzzzzD7t27aWxsHFUuGo3y4IMPAlBZWclFF100qsx1113Hs88+C8CPfvQj/vEf/3HM7/njH/84f3zttddOx22InHKprI01LBccTOXY2zNIKpvLn3NyNvH2TlJd4+zp4ji4Aj5ClbOw3BPv3TJWqHlYzgavNTqktEyTxooQjRWhyd+YiIiIiIjIGcYwDAI1lQRqKqlddznJzh56Nm6l99XtDL65e+LKjsNA034GmvbT/NBv8FWUUrxiEcXnLNI+nSIi72BdL73GG9++Z9zZmhVr17D4727BEy48yT0TkTPBGRduAvz93/8969evx7ZtbrnlFp544gk8niNT4h3H4TOf+QyxWAyAL3/5y5hjzO76xCc+we233057ezv/43/8D6699lqWL18+oswTTzzBz372MwBWrFjBFVdccQLvTOTk8VommZyN48DBgSQH+pJwaClZB8hE+4m3HsTOZEbUMx0b03GwvB58c+pxmy68bhfFAQ+mYWCaBi4DTNPANAxchoHlMijwWqNCzcPimSy1YS2DJCIiIiIiMh18FaXUXHkJNVdeQmzHVuYcGKBn01b6d+4Fx56wbrKzh/bfPk/7b5/HCgYIL11I8TmLCC9egBU8+mo9IiJyesv0x3jze/fS9ptnx7zuCvg46wt/Ts0HL9VMfhE5YWZcuPnWW2/xwgsjNyXu6OjIHz/00EOUlZXlv541axYf+MAHRpT/yEc+woc//GEeffRRnn76aS688EJuu+025s+fT2trKz/4wQ946qmnADj33HP5zGc+M2ZfgsEg3//+97nuuutIJBJcfPHF/N3f/R2XXHIJ2WyWX//619x55504joPX6+V//+//PWZIKjITVYS8vNHRT3tfkv7kkQAzl84Qb+0g0zdAMJWkeLAPl2NjOA4GgGEQXrKAkpWL6UpkKPZ7ODiQojbsO6YXPI7jkMrarKwrnr6bExEREREREQDMohCzzl7KrMvfRXYwTmTLTiKvv0F0y05yyeSEdbODcbo3vEb3htfAMClonE3xsrMILzuLQO0svektIjLDdDy9gR13/Jh0pG/M68UrzmbJ//cZArWzTnLPRORMM+PCzRdeeIFPfvKT417/m7/5mxFfr127dlS4CfDAAw/wJ3/yJzz++ONs3LiR66+/flSZ888/n8cee2zErM63W79+Pffccw+f//zn6e/v5ytf+cqoMuFwmPvvv58LLrhgolsTmVGqi3w8trWdoMfEMAwc2yF5sIdEZzdGLkfZYB8FyfiIOt7yEiouXIW3NJwPJS9fWMmv3+hgIJWl0Oeecj8GUllKAl7mlAWm69ZERERERERkDFYwQPkF51B+wTnY2Sz9O/cSef0NIq+9QaonMnFlx2Zg114Gdu2l+aHf4CkuIrx0IeGlCyla3Ijl952cmxARkSlLdvaw465/pvOZl8e87vL7WPCZP6PumvdhaHKPiJwEMy7cnC6BQIBf/epXPPzww/z0pz9l06ZNdHd3U1xczJIlS7jhhhv4+Mc/jmsSe0PcfPPNrF27lrvvvpsnn3ySAwcOYJoms2fP5oMf/CCf/exnqampOQl3JXLssrbN3u44r7ZE6IylSGVtvJZJRcjLyrpi5pQFsEyTnO3wx/29bO/ox2MZpHIOZmyA+IGD2OkMnlyG8v4Inlw237bptihdvZTCs+fln8w9HErOrwhyYbKUx7a2EfSMv/TsWHK2QySeYd3Saiy9cBIRERERETlpTMsivLiR8OJGGm5YR7y1g8hrbxB5bTuxfa1HrZ+O9NH53Ct0PvcKhmlS0DiH8LKFFC87C39NpWZ1ioicBuxsluYHf8NbP/k3cvGxZ+uXnruMRX/3VwSqK05y70TkTDbjws1PfOITfOITn5i29tavX8/69euPu52FCxfyv/7X/5qGHomcXFnbZlNzlBf39BCJp/FYBkGPhWVCJmezq2uAbe39FAc8LK8pIhJP0xtPYxoGs1w225s68fRHMYDC5CAlsX4MnHz7wYYays8/Z8TeKm8PJVfVh2mOxNnc2kdN2DepgDNnOxyIJllRG2ZVffgE/GRERERERERkMgzDIFhXRbCuitp17yEd6SOyeQe9r+2g/43d2NnshPUd26Z/ZxP9O5tofvDXeErCFC9dSHjZQooWNeLyeU/SnYiIyGGRzTt4444fE2tqHvO6VRBk4ec+rr01ReSUmHHhpohMn1Q2x6Nb2th8oI/igHvMfS9DXgvHcWiJJPjJS3upCHmZH/bS/9obZN5sIlRUxoA/SG3PQQrSiXw9KxSg/PxzCM6uHtHeWKGkZZqsW1oFwOutUYoDbgq81pgvjBzHYSCVJRLPsKI2zLqlVZq1KSIiIiIichrxFBdRecn5VF5yPrlkiv43m4hs3Ul0y05S3b1HrZ/ujXLw2Zc5+OzLGKZJaN5sihbPJ7y4kdCcOoxJrLIlIiLHJh3pY+fd/4+2x58et0z5Reey6G9uwldechJ7JiJyhMJNkTNU1rZ5dEsbWw70Uxv2jztbMmc7NEfi9A6mCbpNWpq76H6ljaruDkzg7PZ9pF1uDpSUYzk2fjtLyfKzCC9diGkd+YPzaKGk13JxzfJq6osDvLinh9ZoEo9lEHBbuEzI2RDPZElnHYoDHtYtrWZVfVjBpoiIiIiIyGnM5fNSvGIRxSsW4TgOyY4uIlveJLplJ/079+DkchPWd2ybgd17Gdi9l9b/+B0uv4+is+dTtLiR8JIF+CpKT9KdiIi8szm2TeujT7HrngfI9sfGLOMtL+GsL3ySykvP12xNETmlFG6KnKE2NUfZfKBvwmBzMJVjb88gyWyOdE8fiY5OzHSGqCdAwB9iVfNOZne34RgGe/trOHDeBbBwPpkCP4NZB5ednVIoaZkmaxpKWFUfHnP/z9pwwYj9P0VERERERGTmMAwDf1UF/qoKqt9/Mblkir4dTUQ37yC6dSep3uhR28glkvS+uo3eV7cB4C0rIby4kaLFjRQtmo8VDJzguxAReefp+eMW3vyf9427BC2mScP1H2TeX1yHFfCPXUZE5CRSuCkyw2Vte8wgsCLkHTcIzNo2L+7poTjgHjPYdBw4OJDkQDRBuj9Goq2TXGJo03AD8GeSuByH+p52TKBg/mw++sVPUrj87GkJJS3TpLEiRGNFaDp+RCIiIiIiInIacvm8lJyziJJzhmZ1Jto6iW55k+jWnfTv2nvUWZ0Aqe7e/BK2GCahhpqhoHNxIwXz6jHd7pNwJyIiM9Pg/gPs/P79dL24adwyxSvO5uzbbqJgXv1J7JmIyMQUborMUFnbZlNzlBf39BCJp/FYBkGPhWVCJmezq2uAbe39FAc8XDi3dMRsyb3dcSLxNLVh36h2U1mb5t44vb39xNs6yQ4MjrgeTCUpjUWIBgqIVNVy8Z9dQe2HL8c41LZCSREREREREZkqwzAI1FQSqKmk+oq1ZBNJ+t/cQ9/2XUS37ybZ0XX0Rhyb2N4WYntbOPCrP2BaFqH5syk6ez6FZ88jNKcW09JbYSIi6b4Bmn7y77Q88ttxHyRxhwtZ+LmPUX3FWi1BKyKnHb2iE5mBUtkcj25pY/OBPooDbmrDvlEvMkJeK7/P5WNb22iOxFm3tAqv5eLVlggey8jXSWZyRBIZovEM/dEYiY4uMn0DI9ozHIfSwT4KknEMl4uSuXXw0fdR9655J+2+RURERERE5Mxg+X35WZ0AqZ4Ifdt3E92+m77tu8kOxo/ahp3N0v9mE/1vNsEjYHo8FC6YQ+FZ8yg6ex7B2dUYLteJvhURkdNGLp2m5Re/peneh8bdVxPTpO6a99F48/W4CzWBQUROTwo3RWaYrG3z6JY2thzon3C/TBh68rXQ5ybosdjc2gfANcurOTiQwsDgQDRBNJEhmcmRjSfHDDUBPLkM5f0RPHaOwoVzKDlnMQmXm96Mc8LuU0REREREROQwb2kxFRefR8XF5+HYNoPNbfQdCjr7d+/DyWaP2oadThPdtpPotp0AuHw+ChfOofDseRSdNY9AXVV+VSIRkXcSO5ej7dfP0vR//53kwe5xy5Wdfw4LP/cxQnPrTmLvRESmTuGmyAyzqTnK5gN9Rw02h3OZBtVFPl7a20MslWVrWx8528btMskmkiQ6uslE+8esW5gcpCTWT6i+itLVS/EUFw61mc6SytrTdl8iIiIiIiIik2GYJqGGWkINtdRcdSm5VJr+nXuGws43dhNv7ZhUO7lkksjmHUQ27wDACgYoXDCHgoVzKVzQQLBeMztFZGZzHIeDz7zMWz/8Vwb3Hxi3XHBOHWd9/mOUnX/OSeydiMixU7gpMoNkbZsX9/RQHHBPKti0HYeBZJZIIkNfIsNgKstzb3VhGJCJJ0l2944balp2jpJYH6XFQUrXXoJ/VtmI6zkbvJaeaBUREREREZFTy+X1ULzsLIqXnQUM7SXX/2YT/Tua6HuzacJZSsNlB+P0vrad3te2D7Xr8xKaN3todueCOYTm1mG63SfsPkREpovjOPT8cQu773mA/h1N45ZzFxUw/+brqf3w5Zh6mENEZhCFmyIzyN7uOJF4mtqwb9wyOduhLzm0f2ZfMoNtH1k61u0yiEZimD0R4skUvmxmRF3LzhFIJQimkhSVFFB62Xn4qysZa8/weCZLbbhg2u5NREREREREZDp4igooW7OCsjUrAEj19tH/ZhN9O4b230x1906qnVwyRd/2XfRt3wWAYVmE5tRRuKCBggVzKGhswPKP//e5iMip0Pvadpp+8iC9r24bt4zpcVN/3ZXM/fhHcBcET2LvRESmh8JNkRnk1ZYIHsvAGCNtHEzl6OhP0pfM4Dgj98J0gEy0n8TBHpLpLO5cFsfy4ACeXJZgKkEwncSTzeAtL6HkwjUEameNGWrC0NNfqazNyrri6b9JERERERERkWnkLSmi/F0rKX/XSgCSXb0jws50pG9S7TjZLAO79zKwey88/jQYJsH6qqGlbBfMoWD+bDzhwhN5KyIiY3Ich96NW2n65weJvL5j/IKmSe269zDvk9fiqyg9eR0UEZlmCjdFZpDOWIqgZ+Q/20zO4UA0Qc9galR5x3ZI9faR7OzGTqUBsEwXnmyGosQgvkyaglQcAG9ZMSUrFxOorRo31DxsIJWlJOBlTllgem5MRERERERE5CTxlZfgKy+h4qJzcRyHZGcP/YeCzv5deycdduLYDO4/wOD+A7T/7gUAvGUlFMyfTcG82YTmzyZYN0v7dorICeM4Dt0vvUbTvQ/Rt23XhGVnvffdzL/pTwnWVZ2k3omInDgKN0VmkFTW5vA2l44DXbEUbX0JcvbImZp2JkuyK0KqpxcnmwPAl0kRTCWxchlMYGH7fjY1nEVpuJTSZWcRqKs+aqgJQ8veRuIZ1i2txjK156aIiIiIiIjMXIZh4K8sw19ZRuUla4ZWKuqOMLBrL/0799C/a++k9+wESHX3kurupXvDawCYHg+hOXUUNM6mYF49ofmzcYe0BKSIHB/Htul6YSNN9z5E/5t7Jixb9q6VNN7yUQoXzDlJvRMROfEUborMIF7LJJOzGUhmaY7ESWZyI65n4wmSnb2ko/0Yto0/kyKQShJIJ3E5NgBJy4Nl5zi3sYLQJavZjR9f2DfpYPNANMmK2jCr6sMn4A5FRERERERETh3DMPIzO8svXAVAum/gUNi5l/5de4m3tg89cTwJdjpN/84m+nc25c/5ZpXnZ3cWNDbgryrH0MPDIjIJuXSa9t88x75//SWD+w9MWLb0vOXM+4vrKF521knqnYjIyaNwU+QUydo2e7vjvNoSoTOWIpW18VomFSEvK+uKmVMWGDUzsshn8dLeXuxhf0Q5jkM6OkCqq5fsYBxvNk1FPIY/k8J8+x9bhoGroY7lKxs57wPLWZ7N8djWdl5vjVIccFPgtcbcz9NxHAZSWSLxDCtqw6xbWqVZmyIiIiIiInJG8BQVUHruMkrPXQZAdjDBwFv76d+1h4Gde4nta8XJ5Y7SyhHJji6SHV10vbARAJffR2huPaG5dYTm1BGaW4enqOCE3IuIzEyZ/hjNv3iS5n//9VGXzi5710rm/fm1hBcvOEm9ExE5+RRuipxkWdtmU3OUF/f0EImn8VgGQY+FZUImZ7Ora4Bt7f0UBzxcOLc0P0Nya1s/BwdSRBJpCr0WdjpLqjtCqjeKk83ism3KB/sIpRKjvqdhuShsnEPRkkY6cibvWtkAgNdycc3yauqLA7y4p4fWaBKPZRBwW7hMyNkQz2RJZx2KAx7WLa1mVX1YwaaIiIiIiIicsaygn+LlZ1G8fGg2lJ3OENvXysBb+4m9tZ+Bpv1k+mOTbi+XSNK3fRd924/sl+ctCRM8FHYWzKsnOLsGl8877fciIqe3eFsniV/8gWe+fT92MjVh2YqLz2PuJ9ZTdPa8k9Q7EZFTR+GmyEmUyuZ4dEsbmw/0URxwUxv2jZopGfJa+ZmSj21t4/XWKEGPi3gmR8jjwkokiRyIQv9Avk5RIkY4PjBqpqYVDFC0aD6FC+fg8nroT2YoMUzmlAWOlDFN1jSUsKo+POZM0tpwwbgzSUVERERERETOdKbHTeGCOfn97BzHIdXVy8Bb+/Mf8dYOOLRdzGSkeqOkeqP0btw6dMIwCVRXEJxTR8G8odDTXzML03KdiFsSkVPIcRx6N22j+cHf0PnCRtLRKP7CwrELGwaVl57PvE+sp6Cx4aT2U0TkVFK4KXKSZG2bR7e0seVAP7VhPy5z/E0uDcPA43KRyiZ5elcnZR6D6p5OYrv34sMiEi7HDwQyKUpjfbhz2RH1fZWlhBcvIDi7BuPQ98nZDpF4hnVLq8cMKS3TpLEiRGNFaFrvW0RERERERORMYhgGvopSfBWllL9rJQC5ZIqBpmZiTYcCz6ZmcvHRKy+Ny7GJH+ggfqCDrhf+CIBpWQRn1xCaW0dwTi2hhlp8lWXav1NkhsrGE7Q98RzNDz3B4N6WCcuaHjc1H7yM2dd/kGBd1UnqoYjI6UPhpshJsqk5yuYDfUcNNnO2Q0d/ko5oglSkH3qj7E3nSEa7KIknCAMZl0XWZVHR14vJ0GxNwzQJzamlaHEjvvKSUW0eiCZZURvOL3MrIiIiIiIiIieHy+clvLiR8OJGABzbJtHeRaxpP/279zO4t4V420F424pME7GzWQaahpbBPcz0egjW1xCcXT0UfDbU4q8qx3BphqfI6WqwuY3mh5/kwON/IDc48UMP7qIC6q+9gvr178dTXHSSeigicvpRuClyEmRtmxf39FAccI8bbDoOROJp9rZ0EeuOkon049hDS9a4TRc9oTAlsT7m9bRz0a7Xeb1+AfvLqiiyTCrn11G0oAGX3/u2NoeWt43EM6yoDbNuaZWWlhURERERERE5xQzTJFBTSaCmkoqLzwOGZncO7j9AbE8Lsb0txPa0kOqJTKldO5VmYPdeBnbvzZ8z3W4C9dUEZ1cTml1DsKEWf3UFpqW3BUVOlVw6Teezf6T1saeOLD89gUDtLGZ/9EPUXHmJ9t8VEUHhpshJsbc7TiSepjbsG/N6X2eEpr0HifQOYKfTo65bdg7HMJjXdYCG3g4wTa6aHaJ37Sq2eQqJxLNksg6BZBaXCTkb4pks6axDccDDuqXVrKoPK9gUEREREREROU25fF4KF86lcOHc/Ll03wCDh4LO2N5WYntbyA7Gp9SunckQa9pPrGk/Bw+dMyyLQO2sQ2FnDcH6Gvw1lbi8nmm8IxF5u9jeVloffYq23zxLpn/gqOVLz1tOpr6Ud3/xr7TktIjIMAo3RU6CV1sieCwDwzgyazPTH6PzrVZa23vpz46/7Iw7l6U01kfaZdFdP4fL16+l5kPvyS89e5lts7c7zqstETpjKVJZG69lUhsuYGVdMXPKAgo1RURERERERGYgT1EBnhWLKF6xCBhaoSnZ2UNsT0s+9BzcfwA7m51Su042y+C+Vgb3tcKzh04aJr7KUoJ11QTqZhGsryZQV42nuHDE+xkiMjXZRJKDf3iJ1seeIrpl51HLuwI+aq68lLr1HyDUUMOTTz6pYFNE5G0Uboocg+w4gWJFyDtmoNgZSxH0WGQHEwzsaeXg/na6kjmS7vGfiDQch3B8gHAmScGcWsyGegqryph3SeOIcpZp0lgRorEidMLuV0REREREREROPcMw8FeW4a8so/yCcwCwszkS7Z0M7jvA4P4DQ6FlS/uYK0NNyLFJdnSR7Oii54+b86etYIBAbRXB+ioCdVUE6qoJ1FRgut3TeWsi7yiObdO7aRttv3mWg8+8TC6RPGqd4Owa6q/9ANVXrMUKBk5CL0VEZi6FmyJTkLVtNjVHeXFPD5F4Go9lEPRYWCZkcja7ugbY1t5PccDDhXNLWVUfJt3RTdcbTSRbOxiIDNDnD5JxWeB2jft9QqkEVUE3JavOJjS3FtNtEU9nSeXGn+EpIiIiIiIiImce03IRrKsiWFcFF60GhoKVREfXkcDz0EcumZpy+9nBOP07m+jf2XTkpGHiryofmt1ZW5Wf6ekuKtAsTzmjxfa00PbEc7Q98Syprt6jljfcFpVr11D74cspWbVE/35ERCZJ4abIJKWyOR7d0sbmA30UB9zUhn2jXnCEvBa27dDbGeGBR3fzzN63WPDqy7SuuIg+XwgzVDTh9/C7XcyuLKJyfh2eopEzMXM2eC0tQSEiIiIiIiIiEzNMk0B1JYHqSsrftRIYCjyTnT3Dws42BvcfmPIenocaI9F2kETbQeC1/GkrFCRQU0mgdhb+6sr8sWahyTtZoqOLjj+8RMfvXqD/zT2TqhOcU0ftuvdQfcVaPEUFJ7iHIiLvPAo35Ywy1eVkh9d7dEsbWw70Uxv24zJHhppDe1705p+IzAzEwLTYWFLB1lWXkTVN0paFL5sZ1bbpcRMuLqCuvoLyqpJxn9CKZ7LUhvViR0RERERERESmzjBN/LPK8c8qp2zNCmDo/YxUd4R4SxuDze3EW9oZbGmb1IyzsWRjg/Tv3EP/zpEBj7uocCjorKnEXzOLQE0F/ppZWH7f8d6WyCmR7OwZCjT/8BJ9W4++jyaA6fUw6/ILqf3w5YSXLNAsTRGR46BwU84Ix7Kc7PCQc1NzlM0H+kYEm7lUmnjrQeKt7cRbO/JLu6QsN30FJQx6fThAJFhIeLAfxzBxAAMwLAtPcSEVlcXU1pQR8k38T9FxHFJZm5V1xSfoJyQiIiIiIiIiZxrDMPCVl+ArL6Fk5ZL8+WwiSby1g3hLO/HmNgZbO4i3tmOnpriP5yGZvn76+vrpe2P3iPOekvCh0HMW/sPhZ1UFLp/3uO5L5ERIdUfoePolOn7/n0Q3vzm5SoZBycrFVH9gLZWXnY8V8J/YToqInCEUbso73mSXk3Uch4FUlse2ttEcibNuaRVey0XWtnlxTw/Ffotsb5S+Qy/uk1294BzZAzPu8dHnD5F0e/LnDMCdzTDo9eMxHMyyEgqLC5g1q5jKQv+kl5kdSGUpCXiZU6ZlXERERERERETkxLL8PgobGyhsbMifO7ys7dDszvZ88JnqjR7z90n3Rkn3RokOn/lmGHhLi/FXleOvqhj2uQKrIKjZbnJSxds66XzuFTqffYXI5h0j3gucSHB2DdVXXkLV+y/CX1l2gnspInLmUbgp72hHW052OMMwKPS5CXosNrf2AXBlXZDNL25lz45uQi0t2InkiDo5wyTuHQo1M67R/5xMr4dQYSGpUJA5s4oYSOdYVFmI1z35vTNztkMknmHd0uoxl8wVERERERERETnRhi9rW3rusvz57GCceGsHgy3tJFo7iLd1Ej/QQS6eOLZv5DikuntJdfeODD0BKxgY6kN1xZHgs7oSb1kxht4zkWng2Db9O/fQ+ewrdD7/R2J7WiZd11NazKzLLqD6iospPGuegngRkRNI4abMCMe6V+ZYy8lOxE5nSLZ34T3Qye9eitG57VW6CsKki8pIZbKkvH7SLjdpyyJtucmZrlFtuAI+PEWFuIsKcPm9+N0u3KbJspoivG4Xm1v7qAn7JtWfnO1wIJpkRW2YVfXhSf2sREREREREREROFisYoHDhXAoXzs2fcxyHTLSf+IGDxA8cJHGgY+hz28H8tj7HIjsYZ6BpPwNN+0ecNywLf2UZvqpyAlUV+A7N9PTPKtMSt3JUuXSa3k3b6XzuFbpe2ESqe/J7znqKi6i87AJmvecCipefrZBdROQkUbgpp7Xj2Sszv5xswD1ukGhncyQ7e0i0dZJo7yTZ1UsOg7RlkfEG2DBvCRmXRdrlJuLYY3fSNHGHgrgLQ7iLQrg8bmBoqdvKQh9FPjexVJZIIsPNK2sBeL01SnHATYHXGvMprsNL5EbiGVbUhlm3tEqzNkVERERERERkRjAMA09xEZ7iIsJLFuTPO45Duid6KPTsIHH4c1sndiZzzN/PyWaJH+ggfqCDt8dS7sIQvlnl+CrK8M8qw1c59OGvLMM89B6OnHnirR10b3iN7g2v07NpG/YUQnd3UQGVl57PrMsvpOScRQo0RUROAYWbcto63r0y93bHicTT1IZ9+fK5VJrkwW4SHd0kDnYTi/STNi1Sh2ZjZooryB6ajekASbcXxwDP215gm17PUJhZGMIdCmLkw1OD4oCbygIfQe+RWZ0uk0OzTV1cs7ya+uIAL+7poTWaxGMZBNwWLhNyNsQzWdJZh+KAh3VLq0cEtiIiIiIiIiIiM5VhGHjLivGWFVO8/Kz8ece2SXb1kjgUdCbau0i0Dz2IfjwzPQEy/TEy/TEGdu0ddc1TXIR/Vjm+itKhALRyKAD1lpdgWnrb9J0kG0/Q++p2uje8TveG10kc6JhSfU9JmIqLVlN52QWUrFqC6Rq9mpuIiJw8+i0tp6Xj3SvzmuXVvNoSwZVJE9vTTfJgF7GDPQzEkiQtDym3h5TlwSkqH79dwHBsUpYXj53DHQjgLjg0O9PrGVHWNAxKQ14qC7x4rdFBZM4mf94yTdY0lLCqPjzmUru14YIJl9oVEREREREREXknMUwT/6HZlKw8cv7w8raJ9q6h0LPjSPCZjvQd9/dNR/pIR/ro2/HW2zuEtzScDzt9lWX4KsrwVZTgLSvGdGvG5+nu8N6ZvZu20f3yZiKbd+BkslNqIzinjoqLVlNx8bkUnT1fMzRFRE4jCjflhDpZe2UCGLkcJckBXni+hdTDv2JjDPpzgGGQdHvIuAJQGJhcxw0DK+AnGAzieH0ECnyEvO5Dlwx8bhd+t4uA24Xf4yLocU3Yz3gmS224YMQ5yzRprAjRWBGaXJ9ERERERERERM4gw5e3LVo0f8S1XDJ1aHZn15HPbQdJHuzGscfZWmiyHJtUdy+p7l76tu8addlTXISvohRveQm+8pJDn4e+dheGxtyCSE4sx7YZeGs/va9up3fTNnpf205uMDG1RkyT4mVnUXHxuZS/ezXBuqoT01kRETluCjflhDjRe2U6tkM60keyq5dUVy/xrl4GBpOkXG76fQEesULkfCaG42CNt1fm27j8PtyhIFZBYGipWZeJDQRsB69lUhf2E/RYeN0uJpm3DvXVcUhlbVbWFU++koiIiIiIiIiIjMvl8xKaU0doTt2I83Y2R6qrl+TBLhIHu0l2dJPs7CHR0UW6Nzot3/vwjE927hl1zfR68A0LO33lpXgrDn0uC2vW5zRxbJvY3lYir22nZ9M2Iq++QaZ/YMrtuMOFlK1ZTtmaFZS9ayWeooKjVxIRkVNO4aZMu+neK9PO5chEBkj1REn1REj1RhiMDJAwXKQsD0m3h7QVhMIgMLRXZsryDAWbdm7oxNsZBi6/DysYwB3y4w4FCQS8I2Zj+t0ukpkclssgZ4Pt2Pg9U19PfyCVpSTgZU7ZJGeNioiIiIiIiIjIMTEtF/6qcvxV5bz9MXM7nRkKOg+Hnge78sFnpm/qwdhY7FSaeGsH8dYx9nQ8NBPVV16Ct7QYb2kYb3kJnpIwvvISPCVF2utzHLlUmr43dhPZ/CbRLTuJbttJdmBw6g2ZJsXLFlK6ZgVla1ZQuHCOlpsVEZmB9NvyHehYl4KdjnaOd6/MD80v5vmXdpA+EKFza4R0T5RUtJ+UeSTITLk9ZAvLxm+Xob0ys6YLOBRwmgZWIDAUZhYEKAiHKAh4CHos/G4XvnFmY/bGsywIF9BQGuSxrW0EPdakl8kFyNkOkXiGdUurtX+miIiIiIiIiMgpZHrcBGpnEaidNepaLpkiebB7WPDZnf86GzuGEG0sjkO6Nzr+DFLDwBMuxFsSxltWfOSj9Mhn03NmzPxM9USIbttNZPMOolt30v9mE042d0xt+WaVU7ZmOaVrVlB67lLcoeA091ZERE42hZvvIMezFOx0tTPZvTLtXI5MdIB0pJ90tB9XpI/fvmDTueM1ds2qJ+7x0YNByu0hVVyJM8W9CtwuF1bAj+nzUlTgI1xSQIHPQ9BrHXV/zMOGLyc7pyxAcyTO5tY+asK+SdXP2Q4HoklW1IZZVR+eUv9FREREREREROTkcfm8BGfXEJxdM+padjBxaGuknqHPnUOfk109pLqjMMktkY7KcfJL3g407R+ziLswNBR+5md/FuMtC+M5NBPU5R+9gtrpLjsYp+/NPfS98RZ9b+ym/423SHb2HHN73rISSlYtpmTVUkpWLSFQXTGNvRURkdOBws3TWCIH33/2rUnNuDzepWCnox2XaYzaK9PJ2aT7joSY6Wgf6Ug/mf4YOEPrxWZcFkm3h7g3wLMLV5J2WVPaK9M4FGS6An6soI9gYRCvz4PbMinyunG7DAr9U3+qbfhyspZpsm7p0Cbir7dGKQ64KfBaY75YPPyzicQzrKgNs25plWZtioiIiIiIiIjMUFbQTyhYQ6hhdPDp5HKkeqJHws9DwWeqq5dkZw+5RHJa+5Lpj5HpjxHb1zrmdZfPi6e4CE9JGE9x0dDStyVF+XPe0jAun3da+zQVuXSaWFMzfdt3D4WZO5oY3H8g/z7hsXCHCylZtYTSVUuGwsy6qhkX8IqIyNQo3DzNTWbG5fEuBXvN8qElU4+9nSiZgUHmZQdp3dlD6WCMtv4BMv0DZAYGR7w4sTFIud2kfMH8ErO2MXQvDpB0eyfcK9Nwmbj8vqH9MgN+3EE/hYUBgl6LkNci6LFwuwwGklk8lsl5s0uGlpP1Hv9ysl7LxTXLq6kvDvDinh5ao0k8lkHAbeEyIWdDPJMlnXUoDnhYt7R63NmxIiIiIiIiIiIy8xkuF76KUnwVpUDjqOvZwfiowDPVHSHVEyHVE8XJZqe1P7lkikR7J4n2znHLuPy+fPA5FIIOLYXrKTkShE5HAJrpjzHw1n76d+1lYPc+BnbvI7a35ZiXlz3MXzOL4uVnEV62kOKlZxGcU6swU0TkDKNw8zRmMDRL8mgzLie7FOxwLtOgJuzj9dYo9cUB1jSUTNiO4zhkBxNkBwbJ9A+SGYgNhZd9MVL9MZ7yBXkxnSJrujCTcbIuF1mXRcYXGPpsWmRdLjKu8f+Xe/temW7TwAr4hoWZPnwB31CQ6bEIel0EPNaYe2XGM1lqwwWsqg9P63KylmmypqGEVfXhMfcjrQ0XTGlfUxEREREREREReeeyggFCcwKE5tSNuubYNpn+GKnuXlI9UVLd0UPHkUMBaBQ7nZ72PuUSSRKJJIm2gxP221NcODTjs7gIT7hw1NdWKJC/j/iBg8SamokNCzOTB7uPu6+Gy0XBggaKl51NePlZFC9biLe0+LjbFRGRmU3h5gwx3oxLYNRSsJPlMg2KA25e3NPDsppCnt/RTiAZJ76vh+xAnEwsRrZ/kExskGxsEMc+MpUyZ5j5sDLr8ZOy3LQUV1KYGKQ3VDTVm8Pl8+Dy+bC8XnJeL4bHQ1HQO7RHptd1KMy08LhMjvYg1vC9Mk/UcrKWadJYEaKxIjS1exUREREREREREQEM0xwKDcOFFMwffd1xHLKx+LDwMzJs1meEVFeEXHJ6l709LDsYJzsYJ97aMX7/LQsr4Ccd7ccK+qdl9qS/qoLCRfMpOvRRuHAult933O2KiMg7i8LNGebtMy5LAh4i8TS14Yl/ydvZ3NCLklh8aAbmYIJ0PE56MElHxuCuex9gR1kNRfEYjmHkP2zDxDYMHH8BWfNQmOmysN/2YsWBoeVmsx78mdTYnTAMXF4PLp8Xl8+Hyz90bHo9GIaByzSwTBOvZVDo8+C1DMIBz5R/RsP3ygQtJysiIiIiIiIiIjOPYRi4C4K4C4JjzvwEyA4m8kvcpnujpHr7SEf6Dh1HSUf6p33p28OcbJZM3wCObR9TfXe4kKKzDwWZixspOmsunuIpTpoQEZEzksLNGWj4jMuKkBsjnaa/M0EqniSZSJNOpEglU6SSaTLpLJl0hlw2NzKsHBZOJi2LA7MXYdk5ku5jW0/fAEzbIel2E7AzmF7v0GxMjxfTdzjQ9Ix4gsvrduWXlw15LHxuF7HUyL0yC3xTm5E61l6ZoOVkRURERERERETknccK+rGCfoL11WNed2ybzMBgPvBM9/aT6o2Q7u0jFekjfSgMdXLHtw/m0XhKiylsbKBgQQMFjQ0ULWrEX1WuvTJFROSYKNw8jTmOQ2fzQdLxJKlk5lBYmSGdzpDK5ujHws7lcNk2lj3RCxATrPEDO8u2GfT68SUGJ9+5Q7MwTZ8Xl2covBy0DbKYhMvrGf6yxHKZeC0Tr+XCa5kEPC6CHgu3a/SLlxO1V2a+L1pOVkREREREREREzhCGaeIpKsBTVAANtWOWyQegvdGhGaCHQs9Ub5R0tJ90pI9MpB97MjNATZPg7BoKFzRQMH82BQvmUDB/Nt6S8PTemIiInNEUbp7Gclmbza+9Nf51yyDh8VEwlVByLI6DbZjgOCNOm243pteN6fHg8ngOHbtxeT0YbutIgGkYeFwmrnSW9v4kNUV+fG7XoUDTnPTMy5OxV6aIiIiIiIiIiIgcMTwAHW/5W8dxyA7GSUcOhZ3RflKRPrL9g2AaVKxdQ2HjbEJz63F5p77NlIiIyFQo3JzBLNse2vvSMIY2vZwKw8B0W5huN4bHg9vy4g9X4vO6Mb0eTI87HySahoFpGrhNA6/bhddl4nWbhz67cLtMTAP6EhkyOZug10Whzz3l+9FemSIiIiIiIiIiIqcfwzBwh4K4Q0GCdVX5804uR6q3j1mXvwvT5TqFPRQRkTOJws2ZzHEwbJusaY5cltYwsFwmbo+Fx+PG7XHj9nmGPvxe3H4fbp8X0zRwmQaReIbKdJYCn0VFgQ/TMHCZh0JNw2CyS98nszkWVxUSiWcIeiztlSkiIiIiIiIiIiIiIiLTSuHmDOJymbhdJh63C7fbwnF7KPO4MdxF1BR48AV9eANDHy7X5II+x3EYTGd5/1k1PPNWF363eUwbeR9eUva6FXVsbe/TXpkiIiIiIiIiIiIiIiIy7RRunsZcLoNV5y7Eeyi0tNwj/3MdHEgyvzRE+0AK27GPaynYC+eXsLmtj4FU9rjamV8RzC8rq70yRUREREREREREREREZDopSTqNGaZJSXUZwaLQqGDz8EzJ1bNLuHBuKZF4hpw9tY03Dy8Fe+HcUnyWNS3tWKaZ3ytz3dJqTMOkNZrk4ECSgWSWeDrLQDLLwYEkrdEkpmGybmk11yyvxmtpXX4REREREREREREREREZn2ZuzlCHZ0rOKQswhwDNkfhxLwW7qj48Le2A9soUERERERERERERERGR6adwcwY6PFNy3dLqfDC4bmkVcHxLwVqmOS3tDKe9MkVERERERERERERERGS6KNycYcabKXl4Kdj64gAv7umhNZrEYxkE3BYuE3I2xDNZ0lmH4oCHdUurWVUfHhVITlc7IiIiIiIiIiIiIiIiItNN4eYMMZmZktO1FKyWlBUREREREREREREREZHTkcLN05gDDCSzU54pOV1LwWpJWRERERERERERERERETmdKNw8zXk0U1JEREREREREREREREQEULh5WvO74HNr55/qboiIiIiIiIiIiIiIiIicFjQNcBpFo1Fuv/12Vq9eTUlJCYFAgHnz5vGXf/mXbNy48VR3T0RERERERERERERERGRG08zNabJhwwbWr19PW1vbiPN79uxhz5493HvvvXzta1/jG9/4xqnpoIiIiIiIiIiIiIiIiMgMp5mb06CpqYmrrrqKtrY2DMPglltu4amnnmLDhg38z//5P6mqqsK2bb75zW/yve9971R3V0RERERERERERERERGRG0szNafDFL36R3t5eAO655x5uvvnm/LU1a9ZwzTXXsGrVKrq6uvjKV77CddddR01NzanqroiIiIiIiIiIiIiIiMiMpJmbx2n79u388pe/BOCiiy4aEWweVldXx7e+9S0AEomEZm+KiIiIiIiIiIiIiIiIHAOFm8fpwQcfzB/fdNNN45a78cYbCQQCADz00EMnvF8iIiIiIiIiIiIiIiIi7zQKN4/Tc889lz++9NJLxy3n9/s5//zzAdi3bx8tLS0nvG8iIiIiIiIiIiIiIiIi7yQKN4/T9u3bASgoKKC2tnbCsosWLRpVT0REREREREREREREREQmxzrVHZjJUqkUnZ2dANTX1x+1fF1dXf64ubn5hPVLREROT45tn+ouiIjMPA44udyp7YLG75NOP3OR08hpMA6LyOlLv7NFRORUULh5HAYGBvLHoVDoqOULCgrGrHvYnXfeyZ133pn/uqen56izQUVE5MSKxWKTGuOPxk5ncBxnGnokInJmGUzECfoDp7obGIaB6XGf6m6cEfQ7U+T0crqMwyJy+tLrpBNrut6XEBGZSbq6uia8rnDzOCQSifyxx+M5anmv1ztm3cNuvfVWbr311vzXtbW1tLa2HmcvRUTkeGgsFhE5tTQOi4icWhqHRUROLY3DIiKjac/N4+D3+/PH6XT6qOVTqdSYdUVERERERERERERERETk6BRuHofhy8zGYrGjlh9eZnhdERERERERERERERERETk6hZvHwev1UlFRAUBzc/NRyw8vU19ff9Tyw5eoFRGRU0NjsYjIqaVxWETk1NI4LCJyamkcFhEZzXAcxznVnZjJLrvsMp5++mkAWlpaqK2tHbfse97zHv7whz8AQ0FnXV3dSemjiIiIiIiIiIiIiIiIyDuBZm4ep4svvjh/fDjkHEsikWDDhg0ANDQ0KNgUERERERERERERERERmSKFm8fp2muvzR//+Mc/HrfcAw88QDweH1VHRERERERERERERERERCZHy9JOg3Xr1vHLX/4SgB/+8IfcfPPNI663tLSwevVqOjs78fv97N69m5qamlPRVREREREREREREREREZEZS+HmNHjrrbdYs2YNvb29GIbBLbfcwnXXXUcoFOKVV17hW9/6Fu3t7QDcddddfOELXzi1HRYRERERERERERERERGZgbQs7TSYP38+jz/+ONXV1TiOwz333MN73vMe1qxZw+c+9zna29sxTZOvf/3rRw02o9Eot99+O6tXr6akpIRAIMC8efP4y7/8SzZu3HhybkhE5B1k165dfO973+MjH/kICxYsIBQK4fF4mDVrFpdffjl33nkn0Wh00u09/PDDrFu3jtraWrxeL1VVVbz3ve/l3nvvJZfLnbgbERF5B3r55ZdxuVwYhoFhGFxyySWTqqexWETk2GUyGe6//36uvvpqGhoa8Pv9hMNhFixYwPr16/nBD35AJBKZsA2NwyIix+bJJ5/kz/7sz0a8P1FeXs7FF1/M7bffTmdn56Tb0lgsImcyzdycRtFolLvvvptHHnmEpqYmkskkVVVVXHrppXzqU59i9erVE9bfsGED69evp62tbczrpmnyta99jW984xsnoPciIu88H//4x7n//vuPWq6iooL77ruPK664Ytwy8XicP/3TP+VXv/rVuGXOP/98HnvsMcrLy4+pvyIiZ5JUKsXKlSt544038ufWrl3LM888M24djcUiIsfnj3/8I5/4xCdGjL1jefrpp8d84ETjsIjIsYnFYlx//fU8/vjjE5YLh8Pce++9XH311eOW0VgsIqJw87TR1NTEeeedl1/a9uabb84vbfvyyy/z7W9/W0vbiohM0eWXX87vf/97QqEQV199NZdeeimNjY2EQiH27t3LT3/6Ux577DEAPB4Pv/3tb1m7du2YbV199dU8+uijAKxevZpbb72VxsZGWlpauPvuu/n9738PwHnnncfzzz+Px+M5OTcpIjJDfeUrX+Gf/umfqKys5ODBg8DRw02NxSIix+7555/nyiuvJBaL4Xa7+bM/+zOuvPJKZs+eTSKRoKWlhY0bN/KLX/yCn/70p2OGmxqHRUSOzfDxs7i4mFtvvZXzzjuPoqIi9uzZw09+8hP+8Ic/AGBZFi+99NK4E2U0FouIAI6cFj70oQ85gAM4P/zhD0ddb25udsrLyx3A8fv9Tmtr6ynopYjIzPKxj33M+f73v+/EYrFxy3z3u9/Nj79nnXXWmGUefvjhfJlLLrnESSaTI67ncjnnhhtuyJe58847p/U+RETeaTZt2uRYluWYpun867/+a378XLt27bh1NBaLiBy7rq4up6KiwgGc6upqZ/PmzROWT6fTo85pHBYROTavvvpqfmwsLy93Wlpaxiz3t3/7t/ly69atG7OMxmIRkSGauXka2L59O0uWLAHgoosu4rnnnhuz3E9+8hNuuukmAG677TbuuOOOk9ZHEZF3slWrVvHqq68C8Prrr7N8+fIR188991w2btyIYRjs3LmTxsbGUW1Eo1Hq6uqIxWJUVlbS1taGaWpraxGRt8tkMqxevZotW7bw+c9/ni9+8YvMmTMHmHjmpsZiEZFj9+d//ufce++9mKbJ888/z7ve9a4pt6FxWETk2Hz/+9/n85//PDC0esntt98+ZrlYLEZJSQmZTIaSkhJ6enpGldFYLCIyRKPaaeDBBx/MHx8OL8dy4403EggEAHjooYdOeL9ERM4Ul156af549+7dI67t27ePjRs35suN9YcDDO2Lce211wJw8OBBnn/++RPUWxGRme32229ny5Yt1NfXj/vGzttpLBYROXZdXV387Gc/A+Cqq646pmBT47CIyLEbGBjIHzc0NIxbLhQKUVZWBgwFnW+nsVhE5AiFm6eB4TM1h7/B/nZ+v5/zzz8fGPpl1tLScsL7JiJyJkin0/ljl8s14tpkx2iAyy67bMx6IiIyZMuWLXzrW98C4J577iEUCk2qnsZiEZFj9/DDD+df7370ox/Nn08mk+zZs4fW1lYymcyEbWgcFhE5dgsWLMgf79u3b9xysViM7u5uABYuXDjqusZiEZEjFG6eBrZv3w5AQUEBtbW1E5ZdtGjRqHoiInJ8nn766fzx8HEWRo61b7/2dhqjRUTGl81m+fM//3MymQw33ngjV1xxxaTraiwWETl2//mf/5k/vvDCC9mwYQNXXHEFoVCIefPmUVdXRzgc5oMf/CAvvvjimG1oHBYROXZXXXUVNTU1wNC2Y21tbWOWu/322/MPm3zmM58ZdV1jsYjIEQo3T7FUKkVnZycA9fX1Ry1fV1eXP25ubj5h/RIROVP84he/YNu2bQCcc845o56OHD7WHm2c1hgtIjK+73znO2zatImysjK+973vTamuxmIRkWN3+E1tt9vNE088wbvf/W6eeOIJcrlcvkw8Hufxxx/noosu4r/9t/82qg2NwyIix87v9/Poo49SXV1NZ2cnS5cu5fbbb+d3v/sdr7zyCv/2b//G+973Pr797W8D8IUvfIGbb755VDsai0VEjlC4eYoNX3N9MstyFRQUjFlXRESmrr29nc9+9rP5r7/zne+MKjOVcVpjtIjI2Hbs2ME//MM/APC9730vv5fQZGksFhE5dr29vQA4jsOnP/1pbNvmS1/6Ert27SKVStHS0sIdd9xBIBDAcRy+9rWv8S//8i8j2tA4LCJyfFatWsVrr73GN7/5TTKZDF/96ld53/vex5o1a7j++uv53e9+x3vf+15++9vfctddd2EYxqg2NBaLiByhcPMUSyQS+WOPx3PU8l6vd8y6IiIyNYlEgmuuuYb29nYA/vqv/5rLL798zHKHHW2c1hgtIjKabdt88pOfJJVKccUVV3DjjTdOuQ2NxSIix+7wm9rZbJZcLsddd93Fd7/7XRobG/F4PNTW1nLbbbfxH//xH/k307/85S+TSqXybWgcFhE5fg8//DAPPPDAuGHj888/z//9v/+X/fv3j3ldY7GIyBEKN08xv9+fP06n00ctP/yPi+F1RURk8jKZDNdddx0vv/wyAO9///u54447xiw7lXFaY7SIyGh33nknL7/8MqFQiHvuueeY2tBYLCJy7IaPhY2NjXz+858fs9x73/te1q1bBwytcPL73/9+zDY0DouITI3jOHz84x/n05/+NDt37uR973sfTz31FNFolHQ6TVNTE3fccQdut5t/+7d/Y/Xq1fn3K4bTWCwicoTCzVNs+BIBsVjsqOWHlxleV0REJieXy3HDDTfw+OOPA3DJJZfwyCOP4Ha7xyw/lXFaY7SIyEi7d+/m61//OgDf+ta3JrXH/Fg0FouIHLvhY+GVV1455lKHh1111VX54+FvrGscFhE5dj/60Y+4//77Abj++ut58sknec973kNRURFut5u5c+dy22238cwzz+DxeOju7uZP//RPRwWYGotFRI6wTnUHznRer5eKigo6OzsntbnzVDaOFhGRkWzb5mMf+xgPPfQQABdeeCG/+tWvJnyKcfhY29zczOrVq8ctqzFaRGSk7373uyQSCUpLSyktLeXnP//5qDJdXV35487OznyZ2tpa3v3udwMai0VEjsfs2bPZsWMHcPRxcfj1zs7OMc9rHBYRmZof/ehH+ePvfOc745ZbuXIlN954I/feey/79+/nySef5EMf+lD+usZiEZEjNHPzNLB48WJgaB+M1tbWCcu+8cYbo+qJiMjRHd7z7YEHHgDgggsu4De/+Q3BYHDCesPH2uFj8Fg0RouIjHR4Oayenh5uvPFGPvrRj476GL484o4dO/Lnv/vd7+bPaywWETl2S5YsyR/ncrkJyw6/7nK58scah0VEjt327dsBqKyspK6ubsKy5557bv747eOtxmIRkSMUbp4GLr744vzx008/PW65RCLBhg0bAGhoaDjqL0MRERniOA433XRTfhmYNWvW8MQTT0xqaZbJjtFvvz68noiIHB+NxSIix+7SSy/NH+/evXvCsm+99Vb+uLa2Nn+scVhE5Ngd3gYnk8kctezwMm/fPkdjsYjIEQo3TwPXXntt/vjHP/7xuOUeeOAB4vH4qDoiIjI+x3H4q7/6K/75n/8ZGHoK8sknn6SwsHBS9RsaGvJLvTzzzDPjviEUjUZ58MEHgaGnMS+66KJp6L2IyMx233334TjOhB979+7Nl1+7dm3+/H/8x3/kz2ssFhE5du9973spKSkB4LHHHsvPqh/Lv//7v+ePL7nkkvyxxmERkWM3d+5cAHp7e9m2bduEZYeHkofrHaaxWETkCIWbp4ElS5bk109//vnnR6zDflhLSwtf+cpXAPD7/XzhC184mV0UEZmxPve5z+XH1VWrVvHb3/6WoqKiKbXx93//98DQ0ra33HIL6XR6xHXHcfjMZz5DLBYD4Mtf/jKmqV+xIiLTSWOxiMixcbvdfPnLXwbg4MGDfOlLXxqz3P/5P/+HF198EYDVq1dz/vnnj7iucVhE5NhcffXV+ePPfe5zJBKJMcs98sgjPProowAUFBRw2WWXjSqjsVhEZIjhOI5zqjshQ0u/rFmzht7eXgzD4JZbbuG6664jFArxyiuv8K1vfYv29nYA7rrrLoWbIiKT8Ld/+7fccccdAFRXV/Pzn/+c4uLiCetUVFRQUVEx6vzVV1+d/yNj9erV3HbbbcyfP5/W1lZ+8IMf8NRTTwFDM0NfeOEFPB7PNN+NiMg70759+5gzZw4wNHPzmWeeGbesxmIRkWOTSqW4+OKLeeWVVwD4wAc+wM0330xDQwMHDx7k5z//Offffz+O4+D3+3nxxRc555xzRrWjcVhEZOr6+vpYunQpLS0tACxYsIDPfvazrF69Gp/PR0tLC7/4xS/4l3/5F2zbBuDOO+/ki1/84pjtaSwWEVG4eVrZsGED69evp62tbczrpmny1a9+lW9+85snuWciIjNTQ0MD+/fvn1Kd//pf/yvf+MY3Rp2Px+P8yZ/8CY8//vi4dc8//3wee+wxysvLp9pVEZEz1lTCTY3FIiLHrqenh2uuuYbnn39+3DLl5eU8+OCDrF27dszrGodFRI7Nrl27WL9+/VGXpbUsi6997Wt8/etfH7eMxmIREYWbp51oNMrdd9/NI488QlNTE8lkkqqqKi699FI+9alP5ddVFxGRo5vOcPOwhx9+mJ/+9Kds2rSJ7u5uiouLWbJkCTfccAMf//jHcblcx9lrEZEzy1TCzcM0FouIHBvHcfjXf/1Xfvazn/H666/T1dVFKBTi7LPP5kMf+hCf+tSnJrWFg8ZhEZGpy2QyPPjggzz88MO8+uqrdHZ2kk6nKSwspLGxkbVr1/IXf/EXLFiwYFLtaSwWkTOZwk0RERERERERERERERERmRG0m7CIiIiIiIiIiIiIiIiIzAgKN0VERERERERERERERERkRlC4KSIiIiIiIiIiIiIiIiIzgsJNEREREREREREREREREZkRFG6KiIiIiIiIiIiIiIiIyIygcFNEREREREREREREREREZgSFmyIiIiIiIiIiIiIiIiIyIyjcFBEREREREREREREREZEZQeGmiIiIiIiIiIiIiIiIiMwICjdFREREREREREREREREZEZQuCkiIiIiIiIiIiIiIiIiM4LCTRERERERERERERERERGZEf5/VA1aA0Pg+xYAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IC = np.zeros((Nf))\n", - "SC = np.zeros((Nf))\n", - "\n", - "for i in range(M):\n", - " IC += data['X'][:,2*M+i] \n", - " SC += data['X'][:,0*M+i] \n", - "t = data['t']; t1=int(Nf/(14))\n", - "\n", - "\n", - "fig=plt.figure(num=None, figsize=(28, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 26})\n", - "\n", - "plt.plot(t, IC, '-', lw=4, color='#A60628', label='forecast', alpha=0.8)\n", - "#plt.xticks(np.arange(0, 200, 14),('4 Mar','18 Mar','1 Apr','15 Apr','29 Apr','13 May','27 May','10Jun'));\n", - "\n", - "plt.fill_between(t[3*t1:6*t1], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "plt.fill_between(t[7*t1-20:11*t1-20], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "\n", - "my_data = np.genfromtxt('../others/data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3] - my_data[:,1]\n", - "\n", - "plt.plot(cases, 'o-', lw=4, color='#348ABD', ms=16, label='data', alpha=0.5)\n", - "plt.legend(fontsize=26); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Infected individuals'); plt.xlim(0, Tf); plt.ylim(0, 600);\n", - "#plt.savefig('/Users/rsingh/Desktop/4b.png', format='png', dpi=200)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "29.055950603835285" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "MM = np.array((0,0,.0,1,1,1,1,1,1,3.5,3.5,3.5,3.5,6,6,14.2)) \n", - "## Fatality Rate by AGE per 100 cases https://www.worldometers.info/coronavirus/coronavirus-age-sex-demographics/\n", - "m1 = .01*MM*(data['X'][430,0:M]-data['X'][-1,0:M])\n", - "np.sum(m1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Three closures" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "def contactMatrix(t):\n", - " if t<21:\n", - " xx = C\n", - " elif 21<=t<42:\n", - " xx = CH\n", - " elif 42<=t<47:\n", - " xx = C\n", - " elif 47<=t<75:\n", - " xx = CH\n", - " elif 75<=t<80:\n", - " xx = C\n", - " elif 80<=t<98:\n", - " xx = CH\n", - " else:\n", - " xx = CH\n", - " return xx\n", - "\n", - "\n", - "# start simulation\n", - "Tf=98; Nf=980; \n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IC = np.zeros((Nf))\n", - "SC = np.zeros((Nf))\n", - "\n", - "for i in range(M):\n", - " IC += data['X'][:,2*M+i] \n", - " SC += data['X'][:,0*M+i] \n", - "t = data['t']; t1=int(Nf/(14))\n", - "\n", - "\n", - "\n", - "\n", - "fig=plt.figure(num=None, figsize=(28, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 26})\n", - "\n", - "plt.plot(t, IC, '-', lw=4, color='#A60628', label='forecast', alpha=0.8)\n", - "#plt.xticks(np.arange(0, 200, 14),('4 Mar','18 Mar','1 Apr','15 Apr','29 Apr','13 May','27 May','10Jun'));\n", - "\n", - "plt.fill_between(t[3*t1:6*t1], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "plt.fill_between(t[7*t1-20:11*t1-20], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "plt.fill_between(t[12*t1-40:], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "\n", - "\n", - "my_data = np.genfromtxt('../others/data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3] - my_data[:,1]\n", - "\n", - "plt.plot(cases, 'o-', lw=4, color='#348ABD', ms=16, label='data', alpha=0.5)\n", - "plt.legend(fontsize=26, loc='upper left'); plt.grid() \n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Infected individuals'); plt.xlim(0, Tf); plt.ylim(0, 600);\n", - "#plt.savefig('/Users/rsingh/Desktop/4b.png', format='png', dpi=200)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6.0190120279788974" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "MM = np.array((0,0,.0,1,1,1,1,1,1,3.5,3.5,3.5,3.5,6,6,14.2)) \n", - "## Fatality Rate by AGE per 100 cases https://www.worldometers.info/coronavirus/coronavirus-age-sex-demographics/\n", - "m1 = .01*MM*(data['X'][430,0:M]-data['X'][-1,0:M])\n", - "np.sum(m1)\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### One long closure" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "def contactMatrix(t):\n", - " if t<21:\n", - " xx = C\n", - " elif 21<=t<70:\n", - " xx = CH\n", - " else:\n", - " xx = C\n", - " return xx\n", - "\n", - "\n", - "# start simulation\n", - "Tf=70; Nf=2000; \n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IC = np.zeros((Nf))\n", - "SC = np.zeros((Nf))\n", - "\n", - "for i in range(M):\n", - " IC += data['X'][:,2*M+i] \n", - " SC += data['X'][:,0*M+i] \n", - "\n", - "t = data['t']; t1=int(Nf/(14))\n", - "\n", - "fig = plt.figure(num=None, figsize=(28, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 26})\n", - "\n", - "plt.plot(t[0:10*t1], IC[0:10*t1], '-', lw=4, color='#A60628', label='forecast', alpha=0.6)\n", - "\n", - "plt.plot(t[10*t1:], IC[10*t1:], ':', lw=4, color='dimgrey', alpha=0.8)\n", - "\n", - "#plt.xticks(np.arange(0, 200, 14),('4 Mar','18 Mar','1 Apr','15 Apr','29 Apr','13 May','27 May','10Jun'));\n", - "\n", - "#plt.fill_between(t[3*t1+2:10*t1+5], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "#plt.fill_between(t[10*t1+10:14*t1+70], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "\n", - "my_data = np.genfromtxt('../others/data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3]- my_data[:,1]\n", - "\n", - "plt.plot(cases, 'o-', lw=4, color='#348ABD', ms=16, label='data', alpha=0.5)\n", - "plt.legend(fontsize=26, loc='upper left'); plt.grid() \n", - "\n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Infected individuals'); plt.ylim(0, 600); plt.xlim(0, 98);\n", - "#plt.savefig('/Users/rsingh/Desktop/4d.png', format='png', dpi=200)\n", - "#IC[-1]" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6.715843621421605" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "MM = np.array((0,0,.0,1,1,1,1,1,1,3.5,3.5,3.5,3.5,6,6,14.2)) \n", - "## Fatality Rate by AGE per 100 cases https://www.worldometers.info/coronavirus/coronavirus-age-sex-demographics/\n", - "m1 = .01*MM*(data['X'][600,0:M]-data['X'][-1,0:M])\n", - "np.sum(m1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Comparison with Linear theory" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "## population and age classes\n", - "M=16 ## number of age classes\n", - "\n", - "my_data = np.genfromtxt('../others/data/age_structures/India-2019.csv', delimiter=',', skip_header=1)\n", - "aM, aF = my_data[:, 1], my_data[:, 2]\n", - "\n", - "Ni=aM+aF; Ni=Ni[0:M]; N=np.sum(Ni)\n", - "\n", - "\n", - "CH, CW, CS, CO = pyross.contactMatrix.India()\n", - "\n", - "\n", - "C=CH+CW+CS+CO" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "# epidemic parameters\n", - "beta = 0.01646692 # infection rate \n", - "gIa = 1./7 # removal rate of asymptomatic infectives \n", - "gIs = 1./7 # removal rate of symptomatic infectives \n", - "alpha = 0. # fraction of asymptomatic infectives \n", - "fsa = 1 # the self-isolation parameter \n", - " \n", - " \n", - "parameters = {'alpha':alpha, 'beta':beta, 'gIa':gIa,'gIs':gIs,'fsa':fsa}\n", - "model = pyross.deterministic.SIR(parameters, M, Ni)\n", - "\n", - "\n", - "def contactMatrix(t):\n", - " if t<21:\n", - " xx = C\n", - " else:\n", - " xx = CH\n", - " return xx\n", - "\n", - "\n", - "# initial conditions \n", - "Is_0 = np.zeros((M)); Is_0[6:13]=3; Is_0[2:6]=1\n", - "Ia_0 = np.zeros((M))\n", - "R_0 = np.zeros((M))\n", - "S_0 = Ni - (Ia_0 + Is_0 + R_0)\n", - "\n", - "# start simulation\n", - "Tf=70; Nf=2000; \n", - "data=model.simulate(S_0, Ia_0, Is_0, contactMatrix, Tf, Nf)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "def r0Comp(C):# matrix for linearised dynamics\n", - " L0 = np.zeros((M, M))\n", - " L = np.zeros((2*M, 2*M))\n", - "\n", - " for i in range(M):\n", - " for j in range(M):\n", - " L0[i,j]=C[i,j]*Ni[i]/Ni[j]\n", - " L[0:M, 0:M] = (alpha*beta/gIs)*L0\n", - " L[0:M, M:2*M] = fsa*(alpha*beta/gIs)*L0\n", - " L[M:2*M, 0:M] = ((1-alpha)*beta/gIs)*L0\n", - " L[M:2*M, M:2*M] = fsa*((1-alpha)*beta/gIs)*L0\n", - "\n", - " return np.real(np.max(np.linalg.eigvals(L-np.identity(2*M))))\n", - "r0=r0Comp(CH+CW+CS+CO)\n", - "r1=r0Comp(CH)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "IC = np.zeros((Nf))\n", - "for i in range(M):\n", - " IC += data['X'][:,2*M+i] \n", - "t = data['t']\n", - "fig = plt.figure(num=None, figsize=(28, 8), dpi=80, facecolor='w', edgecolor='k')\n", - "plt.rcParams.update({'font.size': 22})\n", - "\n", - "plt.plot(t, IC, '-', lw=4, color='#A60628', label='forecast', alpha=0.8)\n", - "#plt.xticks(np.arange(0, 200, 14),('4 Mar','18 Mar','1 Apr','15 Apr','29 Apr','13 May','27 May','10Jun'));\n", - "\n", - "t1=int(Nf/(10))\n", - "plt.fill_between(t[3*t1:], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "#plt.fill_between(t[10*t1+10:14*t1+70], 0, 600, color=\"#A60628\", alpha=0.2)\n", - "\n", - "my_data = np.genfromtxt('../others/data/covid-cases/india.txt', delimiter='', skip_header=6)\n", - "day, cases = my_data[:,0], my_data[:,3]-my_data[:,1]\n", - "\n", - "plt.plot(cases, 'o-', lw=4, color='#348ABD', ms=16, label='data', alpha=0.5)\n", - "\n", - "plt.autoscale(enable=True, axis='x', tight=True)\n", - "plt.ylabel('Infected individuals'); plt.ylim(0, 600); plt.xlim(0, 98);\n", - "#plt.savefig('/Users/rsingh/Desktop/4d.png', format='png', dpi=200)\n", - "#IC[-1]\n", - "\n", - "tLC = t[3*t1+30:]; nD=100\n", - "plt.plot(tLC[::nD], IC[3*t1+30]*np.exp(gIs*r1*(tLC-tLC[0]))[::nD], 'o', ms=20, color='dimgrey', alpha=0.5, label='linear-dynamics')\n", - "plt.ylabel('Infected individuals'); plt.ylim(0, 600); plt.xlim(0, 70);\n", - "plt.legend(fontsize=26, loc='upper left'); plt.grid() \n", - "#plt.savefig('/Users/rsingh/Desktop/4a.png', format='png', dpi=200)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Time elapsed for falling exponential to equal initial value is 48.21835096514237\n" - ] - } - ], - "source": [ - "text = \"Time elapsed for falling exponential to equal initial value is\"\n", - "print(text, np.abs(r0*21/r1))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/deterministic/ex06-SIkR-and-SEkIkR.ipynb b/examples/deterministic/ex05-SIkR-and-SEkIkR.ipynb similarity index 99% rename from examples/deterministic/ex06-SIkR-and-SEkIkR.ipynb rename to examples/deterministic/ex05-SIkR-and-SEkIkR.ipynb index 761175a0..236ccec8 100644 --- a/examples/deterministic/ex06-SIkR-and-SEkIkR.ipynb +++ b/examples/deterministic/ex05-SIkR-and-SEkIkR.ipynb @@ -233,7 +233,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/ex07-SEAIRQ.ipynb b/examples/deterministic/ex06-SEAIRQ.ipynb similarity index 100% rename from examples/deterministic/ex07-SEAIRQ.ipynb rename to examples/deterministic/ex06-SEAIRQ.ipynb diff --git a/examples/deterministic/ex08-SppQ.ipynb b/examples/deterministic/ex07-SppQ.ipynb similarity index 99% rename from examples/deterministic/ex08-SppQ.ipynb rename to examples/deterministic/ex07-SppQ.ipynb index 15597145..68ae71dc 100644 --- a/examples/deterministic/ex08-SppQ.ipynb +++ b/examples/deterministic/ex07-SppQ.ipynb @@ -468,7 +468,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -482,7 +482,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/ex09-Spp-time_dependent_parameters.ipynb b/examples/deterministic/ex08-Spp-time_dependent_parameters.ipynb similarity index 99% rename from examples/deterministic/ex09-Spp-time_dependent_parameters.ipynb rename to examples/deterministic/ex08-Spp-time_dependent_parameters.ipynb index 7d8725a9..de567a92 100644 --- a/examples/deterministic/ex09-Spp-time_dependent_parameters.ipynb +++ b/examples/deterministic/ex08-Spp-time_dependent_parameters.ipynb @@ -270,7 +270,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -284,7 +284,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.9" } }, "nbformat": 4, diff --git a/examples/deterministic/ex10-Spp-serological-testing.ipynb b/examples/deterministic/ex09-Spp-serological-testing.ipynb similarity index 100% rename from examples/deterministic/ex10-Spp-serological-testing.ipynb rename to examples/deterministic/ex09-Spp-serological-testing.ipynb