{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "nbsphinx": "hidden" }, "outputs": [ { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 1;\n", " var nbb_unformatted_code = \"%load_ext nb_black\\n%matplotlib inline\";\n", " var nbb_formatted_code = \"%load_ext nb_black\\n%matplotlib inline\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%load_ext nb_black\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "nbsphinx": "hidden" }, "outputs": [ { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 2;\n", " var nbb_unformatted_code = \"## setup code\\nimport matplotlib.pyplot as plt\\n\\nplt.style.use(\\\"seaborn\\\")\\nplt.rc(\\\"figure\\\", figsize=(15, 3))\\nimport numpy as np\\nimport msprime as msp\\n\\nnp.random.seed(1)\";\n", " var nbb_formatted_code = \"## setup code\\nimport matplotlib.pyplot as plt\\n\\nplt.style.use(\\\"seaborn\\\")\\nplt.rc(\\\"figure\\\", figsize=(15, 3))\\nimport numpy as np\\nimport msprime as msp\\n\\nnp.random.seed(1)\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "## setup code\n", "import matplotlib.pyplot as plt\n", "\n", "plt.style.use(\"seaborn\")\n", "plt.rc(\"figure\", figsize=(15, 3))\n", "import numpy as np\n", "import msprime as msp\n", "\n", "np.random.seed(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Quick start guide\n", "This packages implements methods described in [the paper](https://doi.org/10.1101/2020.09.21.307355):\n", "\n", " Exact decoding of the sequentially Markov coalescent\n", " Caleb Ki, Jonathan Terhorst\n", " bioRxiv 2020.09.21.307355; doi:10.1101/2020.09.21.307355\n", " \n", "The methods are implemented in a Python package called `xsmc`. The package has two main uses: drawing exact samples from the posterior distribution, and fast estimation of the maximum *a posteriori* (MAP) path. Convenience methods are also included for plotting." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will demonstrate how the method works on simulated data using `msprime`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 3;\n", " var nbb_unformatted_code = \"def simulate(recombination_rate, length, sample_size=2):\\n return msp.simulate(\\n sample_size=sample_size,\\n mutation_rate=1e-8,\\n recombination_rate=recombination_rate,\\n Ne=1e4,\\n length=length,\\n random_seed=np.random.randint(1, int(4e9)),\\n demographic_events=[\\n msp.PopulationParametersChange(time=0.0, initial_size=1e5),\\n msp.PopulationParametersChange(time=1000.0, initial_size=1e4),\\n ],\\n )\";\n", " var nbb_formatted_code = \"def simulate(recombination_rate, length, sample_size=2):\\n return msp.simulate(\\n sample_size=sample_size,\\n mutation_rate=1e-8,\\n recombination_rate=recombination_rate,\\n Ne=1e4,\\n length=length,\\n random_seed=np.random.randint(1, int(4e9)),\\n demographic_events=[\\n msp.PopulationParametersChange(time=0.0, initial_size=1e5),\\n msp.PopulationParametersChange(time=1000.0, initial_size=1e4),\\n ],\\n )\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def simulate(recombination_rate, length, sample_size=2):\n", " return msp.simulate(\n", " sample_size=sample_size,\n", " mutation_rate=1e-8,\n", " recombination_rate=recombination_rate,\n", " Ne=1e4,\n", " length=length,\n", " random_seed=np.random.randint(1, int(4e9)),\n", " demographic_events=[\n", " msp.PopulationParametersChange(time=0.0, initial_size=1e5),\n", " msp.PopulationParametersChange(time=1000.0, initial_size=1e4),\n", " ],\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All methods are accessed by creating an instance of the `xsmc.XSMC` class. The class has three required arguments:\n", "\n", "- `ts`, a `tskit.TreeSequence` instance containing the data.\n", "- `focal`, the node id of the focal haplotype in `ts`.\n", "- `panel`, a list of node ids in `ts` which are potential targets for `focal` to copy from.\n", "\n", "First, we\n", "focus on the simplest type of analysis, where we have two chromosomes sampled from a singled diploid individual." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 4;\n", " var nbb_unformatted_code = \"from xsmc import XSMC, Segmentation\\n\\ndata = simulate(recombination_rate=1e-9, length=1e6, sample_size=2)\\nxs = XSMC(data, focal=0, panel=[1], rho_over_theta=0.1)\";\n", " var nbb_formatted_code = \"from xsmc import XSMC, Segmentation\\n\\ndata = simulate(recombination_rate=1e-9, length=1e6, sample_size=2)\\nxs = XSMC(data, focal=0, panel=[1], rho_over_theta=0.1)\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from xsmc import XSMC, Segmentation\n", "\n", "data = simulate(recombination_rate=1e-9, length=1e6, sample_size=2)\n", "xs = XSMC(data, focal=0, panel=[1], rho_over_theta=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exact sampling\n", "To sample paths from the posterior, use the `XSMC.sample()`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 5;\n", " var nbb_unformatted_code = \"paths = xs.sample(k=100, seed=1)\";\n", " var nbb_formatted_code = \"paths = xs.sample(k=100, seed=1)\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "paths = xs.sample(k=100, seed=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The returned object is a list of length `k` of `Segmentation` objects. These objects can be easily plotted to visualize the posterior:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 6;\n", " var nbb_unformatted_code = \"for p in paths:\\n p.draw(alpha=0.1)\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_formatted_code = \"for p in paths:\\n p.draw(alpha=0.1)\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for p in paths:\n", " p.draw(alpha=0.1)\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compare the posterior with the truth, we can use built-in convenience methods to turn data into a `Segmentation` object and plot it." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 7;\n", " var nbb_unformatted_code = \"truth = Segmentation.from_ts(data, focal=0, panel=[1])\\ntruth.draw()\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_formatted_code = \"truth = Segmentation.from_ts(data, focal=0, panel=[1])\\ntruth.draw()\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "truth = Segmentation.from_ts(data, focal=0, panel=[1])\n", "truth.draw()\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rescaling the output\n", "You may notice that the $y$ scale of the above plots is different. By default, `Segmentation`s returned by `XSMC` are in units of coalescent time. This matches the scaling of the Li & Durbin's PSMC.\n", "\n", "To convert these times to generations, you must know the biological mutation rate $\\mu$, and then estimate $N_0$ by the formula $N_0 = \\theta / (4 \\mu)$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 8;\n", " var nbb_unformatted_code = \"N0 = xs.theta / (4 * 1e-8)\";\n", " var nbb_formatted_code = \"N0 = xs.theta / (4 * 1e-8)\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N0 = xs.theta / (4 * 1e-8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, you can convert time to generations by multiplying by $2N_0$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2sAAADBCAYAAABR2iiFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOy9ebBlyV3f+c08y93eWq+quqqrVT3V9GJJaIlWgySDwIAZMT0Gh2HAjACPI2yNwziIIEyYgZggggBBEB48tgfbzARBGIaYYYlxEBbgYBuERgtqkIRa6lbvVapSrW+7+z1rZs4fv/zlOfe+W6+Wfq/ee1X5+aO73l3PPSdPZv62708YYww8Ho/H4/F4PB6Px3OokAd9AB6Px+PxeDwej8fj2Yk31jwej8fj8Xg8Ho/nEOKNNY/H4/F4PB6Px+M5hHhjzePxeDwej8fj8XgOId5Y83g8Ho/H4/F4PJ5DiDfWPB6Px+PxeDwej+cQEh7kl29sDA/y62/K6mob3e7koA/Dc5/ix5dnv/FjzLOf+PHl2U/8+PLsJ4d1fJ04sXjT53xkbQ5hGBz0IXjuY/z48uw3fox59hM/vjz7iR9fnv3kKI4vb6x5PB6Px+PxeDwezyHEG2sej8fj8Xg8Ho/HcwjxxprH4/F4PB6Px+PxHEK8sebxeDwej8fj8Xg8h5ADVYP0eDwej8fjOUyMshJZqXc83gglFhp+2+TxeO4tPrLm8Xg8Ho/HY8lKDW3M1GPamLkGnMfj8ew33kXk8Xg8Ho/HYxnnJfJSY7Udu8f6SeH+7SNsHo/nXuIjax6Px+PxeDyWvNTQZv5zPsLm8XjuNd415PF4PB6Px1NDCmCtE9/6hR6Px7PPeGPN4/F4PB7PA8usoEjPpjxujXP3WHeSIw4lOrHfNnk8nnuLn3U8Ho/H4/E8sLCgiBQCAJAUCoXS6E7qxloBIYCVlkYcSh9183g89wxvrHk8Ho/H43mgkUI4A6wVBWiGwZTACEfbtKGaNo/H47lXeGPN4/F4PB7PAw+nQw7SYu7zcSghxT0+KI/H88DjjTWPx+PxeDwPPJwOmRYahZ5Og+wnlAa51IwQh15I2+Px3Du8sebxeDwej8cDSodsRhKxkVNpkJe6EwCA8WmQHo/nHuONNY/H4/F4PA883Az7lRtD9NIS47x0z13Ymrh/n+jEeObs6kEcosfjeQDxxprH4/F4PJ4HHm6GfW2QIS0VTvzWr+LMlz4DAHiHpmjaq099HT7/wQ8d5GF6PJ4HjD1NvH755ZfxAz/wA/iJn/gJfOYzn9nLj/Z4PB6Px+PZNya5wiAtMExLjDKFsy98Bq3+FiQAAYGFQRdf89JfYWs8X4DE4/F49oM9jaw9//zzOH78OKSUeOKJJ/byoz0ej8fj8Xj2jYvbE/TTApvjDMZQfVqyvIY//J/+Ha70E/zD//BjMMqgO8kO+lA9Hs8DxJ4aa+95z3vw7LPPYnNzE7/6q7+KH//xH9/Lj/d4PB6Px+PZFy5sTzBMc6R1ARFjkBQKealhDKCNQT8tb/4hHo/Hs8fsqbH20ksv4cSJE1heXoZSai8/2uPxeDwej2ffuDFIMM41Sm2gtYEyBtoYbI9zDLMS2lBT7NFN+rAdBrhX3CyNUGKh4WUKPJ6jyG3fuc8//zx+8Rd/Eb/xG78BrTV++qd/Gq+88griOMZHPvIRPProozhz5gx+9md/FlEU4Yd/+If387g9Ho/H4/F49oxr/RSTQmOUFdDaoFAGgMH1YYokVzDGwBhgkpuDPtSbwr3ipKi6d2tjkJUaC40DPDCPx3PX3Jax9iu/8iv46Ec/ilarBQD40z/9U+R5jt/+7d/GF77wBfzCL/wCfvmXfxlPP/00nn766X09YI/H4/F4PJ69ZmOUIysVMmUAAwBknGltUGoDNtGyQ95mTQqBtU7somz9ZH4k0EfbPJ6jwW3dpWfPnsUv/dIvuRq0z33uc/jABz4AAHj3u9+NF1544a6+fHW1jTAM7uq9+82JE4sHfQie+xg/vjz7jR9jnv3kfhpfIzFCVmhMihKlBoQgW00KASOAxU4DSuTgYJUBgCY1zG5GEovN6KAOfSdNEj85sdjA+pU+ekWJAZfYlQZxJNGJQ2gDIJY4cXzhwA51N+6n8eU5fBy18XVbxtoHP/hBXL582f09Go2wsFDd4EEQoCxLhOGdeWi63cmtX3QAnDixiI2N4UEfhuc+xY8vz37jx5hnP7nfxtf1jRG0AbKCatLCkJQgbXANUBrQGqL2nq2tkUs3XOvEB3Pgc9ga5/SPNMel630obRBIOnKdAXkOdIxBd5yjL4AFc/hSOu+38eU5XBzW8bWbAXlX8e+FhQWMx2P3t9b6jg01j8fj8Xg8noOgLsRxYWuCSVEis3aLtpEoremB3iTHMFPQNbtmrRNXhtEhJpAC59Y6U4+tdWJ0J4f/2D0eD3FXFtbTTz+Nj33sY3j22WfxhS98AU8++eReH5fHc2B4NS2Px+O5v6kLcUyKEqpmiWlQQI0fSUuNcV5CH8Io1CzjvERu16+BVa2cZ5j1kgJxKO/psXk8nrvjrnae3/7t345PfepT+P7v/34YY/DzP//ze31cHs+B4dW0PB6P5/6HUxgjKUEmmn0cZKjxChBKgUAICAgcT3v4tT/6OWx/5l/BfMPfgvjwPzuAI785eamnIoA3wxg4o87j8RxubttYe+SRR/A7v/M7AAApJX7mZ35m3w7K4zloZusQjkK6i8fjOTrcLIJ/p/iI/5tnVItGAWSsaVAKoQFwvNPAOFP43H/1brz7/F8DAPTGOvCJjwGHzFgDACko1TEKJAo1PcbiUGKtE+PC1vgm7/Z4PIcNP8N7PB6P57a5MUwxTMsdjy82Qzy02DyAIzqazIvg3yk+4r83jLLS9lQjOKoWSJKFPLnUwPVhit9/33fj3zzxLADgjz7zr1xN22GlUBr1zE19ANG0eU4J72DweO4Mf7d4PB6P57YZpiVKbRDKysgotcEwLfHQ0VJDPnBuR0lwt82uj/jvDaWuV6gByv6fa9TSQqHUBndvVh8MaaFRaBo7zV//3xF+6uMYv/cD2PqRH8UgLRAF+1+zNuuU8A4Gj+fO8cbaEcWLYHg8nv1m3jzTsw12z6113Hzz+sboIA7vgeBuN7t3mmb5oK8dohbh5O6vgSRj5sxKCxe3J3gTQdA9Zd61ZWGRV9dHKLRGLynw6sbIRdae+eSfI9xaR+sz/x+6/+iHMUhLxPfAWAOmnRLeweDx3DkP7sx8xPEiGB6PZ7/ZnuRIC41aEM0pzG2Nc0gBrLZjUpa7Rxu/+4XxTJ3UzWAlv9U2bXb71ljm57gGaZbd0ixnv1sbau68F8barYzEo2AURvbwWlYt8VufOIHzm1Tj9cL1g+8PO+/asrBIoSuBkUJplNpAacDMKFmOstKrQXo8R4TDPWN6dsWLYHg8nv2EN/RsKADAtUGKQmlntAEUbWv4jd8d0UsKpIXCpFBThlMcSrSjYOp1s+9jtic5pBDoxDuX8lkjrw5v7KWg70sLvWe1TLsZiYfVoViUGkWt/owPnX/Dajs+dON7dv3fGGXOUD73u7+GR770HL4nL2Hsa+PBNgCgUAaXuhNc6iZoRQJb4/xIGNAez4OMvzvvc3y6pMfjeTOwshzTigI0wwArrQgAbWQvbk92qM7dDrebqnc/zld5qSEg0LbnUwo4A2qegTX7GEc0b5d6NI3ft9SMkJd6Klpa527P+81q8Q6rQ7GXFsiKWqRRUQVbbsf0y1d62DxExz4vKnt+c4S0NLjaT/H1f/1pBINt6IXV6j1Lx7DY34RBVYeXlXRN9iqq6vF49gd/d97n+HRJj8ezlySFQqE0VtuRe2yUl7ZX1Z1xO4qI9/N8JWqG2VondsbMPENn9rG1TuyiZ7uJlPBz1NQZc1Na54lN3M/nfZZJrqYia6w3wgIjw6y8K2fEfjGvl9rWOMfE3pvGANnKGv71D34ESgOPHmsjkgLf869/1OmoDLMSjVCgnxQYpEAnDu9Lp4jHcz/g78oHAJ8u6fF49oqNUYZJXkn395IC1wfpVOrenXArRcT7db5io5cNLmD3GrQ3y7yUVsYYMhzfzDrBUdL67zkqm3+lDUTN+GG/A9dhvv3UEv7iwvYBHNl8tsY5xnk5ZXjfGGXISkpnNcbAGIFJrmA00JsUaITTDhGjDUotXMrng2ScezxHjcM/i3o8Ho/n0NBPih2pi5NcoVSHu+fUYWOYlsiVdjWAvaRAPykgBG2uIYB2FLiURTaCeknhhCH4uXmG1azRxLVx8wzBjVGGQmusbESY5Aq5rUmkWriFqdc2QokTc34PR0mZo7b5rwd3D2vNGhvEF7fHSMvp++3GIEOpDBqRRP0ZIakuMQ4qw2ypGaHQBqqgJgVxIN9Uv7/9wPdn83gq/Kj3eDwez1zYg1/nSi/B1/3Jb+LJ1z8HgDa031UoCAFs/m8RMGuzfeBb0PynP+I3WTNcHaQYpgXGeQljKC3txjBDFAgM0hKAwVIzwjCbTjFlMZczy63b+h42mijiMv81o6xEZg3GQVpAG2CQlkgLjcdP7PysmyGFmBu58+wNbBAX2kAKg7OrbfdcI5SQwmC5FUEKgUAKtK3wjACm0jwBuP5r1wcppBBox/Mj4wdlIPn+bB5PhV89PZ5d2C21Z9bzx5vaecps9ffdyfe+mc/weN4sL98YYHtS4NogdY9d6iX4+y/9JeJxD5OlYxDCppEJARiy1ZyPfnMD5hMfQ/bhf+Y3WTO8sTFEL1UuOrbajrExyiAANMMExgCLrQiDhKJsayzdn5UQAC51J9gY0bz0yvoQrYhEX6JAohUFWB9mbkPejkNMbF3hY8c7OxQoe2mBZiBxbq3j5jruK3avUujv9ZxXF+mY/V5h/yNtnuGxTozmXab57jVSCHc+Hj9RRT07jRDGAKcWG5BSIJQCEkCmNIYZrU3aGCwMujj1Iz+IH8sVBOj8CiFQ/M1vRvdDH3afF4cSxhh0J2aHAX6v1iHfn83jIfyu7xByYWu868QUh9Kph9WpGxT1x/arBuJBYLfUnlnPX2rVxOad6jv1CnphGM9BwhvnNzbHSEqDTm1jxgIGk6Vj+IN/8UtYaUf46JeuI5ACP/PsWwFUaWP5D34P9KwSwhxuDFMM03Luc/U0wMVmiIcWm3vwCw+eXlKiUAaLjRCFNmjHAbJCo1QaY3vfh6HE5jiH0hrjjFLWRtYplBbKNjYWyEoFbYBj7RhCAJ04wMYoRyAEpb9JAWOAOBToTnJc7k6QK+PS4jZHOYSgc8zn+1J3glDKqbWI15iNIcnE7+WG/V7PefNEOhyi5nA45PC9mtqUxkmuYIyBNpROm2vjxFG+9DXvwdte+xwibWCsY6XUBovDbYhPfxzn/+sP4fhCDGOAhUaIQAqEUqIWwPPrkMdzAHhj7RCyNc5RKIMo2LlcGEOLTDsKbquhpTbYs/45Dwp1j+usATyvIS2nouymzHY3XkEvDOM5KHjjnBQapTJ4/HjHPffS9aHz3D+y2sKZ5Ra0uQbUphne0N1qw8v3Wi8poLRBMOOBqs9xpTYYpiUeWtyLX3jwDNJqnuGGxUlBBpwBEAiBVhRAGQMpJJoRnQshaNlebdOmuhlJPGxTIpea9NxiIyQpekFREGOAjVGOUtH5Lazc4WKDFD0nBaVichokAHSTEgLGzXP1jIG92LDPRtJm51Ngb+e82e9jo3StEyMO5FTN2qwj9LAxSEskhcLrGyP0kgLaGHQnBZS9LkoblFqjn5VQyiAO6Dr/wfu/G3/8jf8d3nVmGb/7hauAMHjs+AJ+9D/+JCJjcHWQotAaw1Sh0whweqmJRiix1ll23+3XIY/n3uONtUNKFAg8c3Z1x+O7STsz9efmRds8u6fc1D2uXGw/j+6kQCOSmHOZPJ4jD9e9SCHwrjMr7vHnLnYRCPK4n1lu4dxaB6GgUMSd1ivV77VACpxbq4zC2SjL/TKX8dzTT0qUWuO1jRHyUmNjlGN9lAMQgDEQkqJgeakRSroWaiYUNEhLDDMgCiQEgKSI3Hd8pTsBDNCKJNJS48YggwbVO13uJVDaOOPu9Y0RWkGAQVq4lLn1YYo4kM7h14nh0ifPr48wGadTx3Kr6zMr0LE9yZEWGmmpnMHeqBmFey3oMRu5q6tx5orO8VEhKUjlkZFC2LpEiq5pQ45djqiF1vEb2trHThy4XE8SFyHnwImFGKeXmhilIySFwjArkZd3fh3q6+vsuPDZPh7PneONtUMET3D1BqU3yw2fZ2zMmwR5cZ1NZXnQJ8vdUm6AqhFwd5KjaQK3oagzSAuIrDKg6yptHs/9gDLmpiqP2hgM0gLdSY5MaQgh3MaM552zioyxy1vjuRGa3Zo616PY99N9xXNPrmzfMykQBhJLzRBN+zuNEa4H2+YohxQ2vQ1VpkRSKPTTal4PpHCGVjMKnHDESiuCAJAp6vScFAqJTZnLSg0DYJxppIJqm0YZp1lqlNq49QgALncTGBhMINDtT6bmxPrr6vSSwrUGACo5/PVhhlCSoWAMrWnjnNan2X5wwN7USdWzFbi5+82UHg+z6ZaXdG3qzhGltYvIMpTqaFwPvdLWMI5zResfBCJ7ogMpcHa1jbedWnI1qiRMcueZObv1TxzlJcrE7Kjt9vXYHs/N8XfGIYI9jbzgbo1pka5PyHUvVSglFpv11JSdKY/zFMB8aiRxu2mG0kpo1+sEV9sxLnUnU68z/rx67jNKZXaoOyqlYWCgjMHVfgIAyG3K3aXuBJ2Yal1uNu/cqY/ofpyvpBBuIy2EgIDBmZWW2yQXSrvzHkqB0hhMcgXFJ9WQMct1smNZAoJeyxGiUhsIkAMqlAKBEFAwaEWBM5iOd2IEUuLFqwMoCCzazXIkpTNWVloUrWOjxgBoRyHyOHTP7cZKK3JGORmp2v271BorrQjNKMAwq4RWZqMx+1UnxQIqs8baYQ+yldq41FlGGQMBYLUdIRAUbeVxNtvwvBMHkLYwj9NutTHYnuRUtzgpyIjPyah/fWPk3jvbSoKZrSedXV/53xe2xnPmBl8H5/HshjfWDph6hGx9mE1NYrOeyrp3WRvykt1OyuOsotdBpRPdK7Wv/fqeuuG81omx1IzcvwFahDye+wmtDUo7KXF92dakgNKAgMHVforFZoTCaEgjoDS9bqkZQQjuU2VwcpF2YbcyuuYpqtbnwfshwrYxInGOtCCRh2v9FEoZvHR9iE2r7qg0RTSfv9LDOKfaP20344Eg422QFuglBQQECisWkmQKEEArDnCjn0LDYHOYA4IM70AIvLYxwsD2caOoqUFSkLH3xasDTHKFKBDYHGcIAuGcUr2kwBtbY7TCACtLbTcf8rx6qTuZe315zoxtijlAc+aFrcoikgI75lPP7ogZY0gbul+VMc6/ok3NqDNVlGycK5RGOYMNqKKbvaRAPysBAyfnX4+Az96P7Si443rSe6ky6vHcD3hj7YCppwtwDn1WaBRaT02KxpCxwZNnPVWSqTdIPYwpBfdK7et2vqcuIsLUm84CdB53S9NiaeyVDdpkXOkniGbU02Y/GwDQ3HslNc/R5LC2aOD7Y5iXMNrgwtYY68MMmdLYHGVObW6QsiQ4YKCxPqLI0DArSYBEG2hjnGdem+mNH98zLJ4xzkuUinpF8RzHmQbG2Fqbhyuxg6PIKCuhtEFmg2e9hOaGzVGGcU6y/MbWraUF90czrl4tkAICNuJm+21FMoQCGdbC7r5pVAmKxhnQ44LSEMNQ2DqnEhACNisS3UluWwUI9CclolC6Pm9LTcBoILF1UcD0vMr1h/OiUochOjo759fn77TQmJOxtyfc7B5n9upeL5SB0hrDpHTOXFYJnWQlSm1Q2jF0pZcgV+Rw6SU5tDYohMGr6yOMc4WvbI1tDVsDCzaCOqE3OKN6qRk5g/3C1thFa2eZPe+DtNgR6fN4PLvjd4uHAE4XSAuFca7QSwvXJJXppyWkgEtTqT8HkIdrfZgCEFOT6PowA2B2GHUH5aG+VwqHt/qeXWWba7ABPft3LylwfmvsjGuANp6tKMCTJ6n3zWx9DuNTPjzMYW3RwPdHqYyT3i80RXhY8huA2/xpUyk/RlJitRWj1BpSYOo+kwJTqXPXB7YXWEGfP8pKV99UbwYdSYm0VJgUlaFwlAmkcOeQp5cwEE6oRUAARqAZSTrHRiA1CsYAShloAC3QeTe2sV0oJALQv7nXGn2udMZeIAQaoUQUSDq3AoilRCOkq/f0W1ZwYYsiaV/tJhACeHipBSGAc2sdPPeVbRSlce1M6nWFvK6stKK59b11tsa5e4zXq/1mds4vdFUiIAR2KJHuFbvVb93pvc6GD9ccbo1z5wjkdaq0Sp9AdZ9GoURoqN2DgHBKogZUm8hpkONMYZIrFKWGkgJpSbVtrNZaRcunrymLw8yjlxSurQBQ7WV4Td5rIRnP/cetHB7zOGiH515z//yS+4DupEBqB6SwhlkUSJxearpUFPZqMSutyHkz45AW5/qakyuF2VLpSa4wSIspA+Z+G9i3A4uI3Ax+ru4t5h5TQLVRZcPXAO761etzGqGcSp/cNxeu50hyWFs0kPCDqeqkALdZmx3BSgOhBE4tNmmDv0y1K2EgAWicXW070ZEpUQRrbBS62kgL671noy02JELRtRGo+ibvKM5Z3Uk+ZXRyr+WVVoxBUsJAuPS1KJAIJc0pkaF5JisVYKwEPwXGUCqKsAUh1SnFgUQjlAiEgIaB1jbdrZbypoxBKwhIKVAA0tascfYGb/5f3Rg6o/naIEWhDF67MUSW5c6gPrnYwBsbY5RG4/HjC26cxKHErcRyae3a2w37vM0dG5N8ry3WGksv30bt3Zth9h5n7vReZ4NTKY1Cm6m+eBx5zZRyaxQ3qF9qkshMGYeAAN758BL+4MVrAKjhdyAEIinx5EML+NYnTmCQUBsAbgTOdYdxUGX3MKvtGBe3J1NOzdljFhAuDXZiU513E5I5cUdnxXO/s5vDYx6HweG51xy9le6IM7uIUDoCyQdfHaSuiWlSagzSEkKQalU9khYFEqlNlaz3xTlva6akoJqP1XbsCoTrdBOaJNkjxxMmb6KO6iZor9ga56525lJ3AmMMFmeM5OVWhNIumOOcNix8XfmaRFb2eofDtqT33GltxrzUTcBfL8/+kdUiawxXxEghsNyKcGa5hUDQxpAbNvMGckVTuiQbarPCAgAZG0/+5/8Ty5/9pHssDiQyRel//J7HbIqf+ba/DfOPf/jILsaTQk2dUwkyqAD63aUxUGWVzsgIIez5EDAwldS8/SgNMtpCSXNCaNsuKGUQSHo/QM+VSkNpgXFaOpGJH3r+o3jsD1/Eo/bYPsC11Of/Jl7+Oz8EoIOs1CgUzV95rhAHtEY1I4lrw9Q2U07RjgIy6q04E8+HLdsfdK0TIwqk2+DnMyrI8+qq70TBeN7mblYAKi0UCk1ZJ+kRidjyfVRoM/deAiqjLZQSEoC2svxCVA7GKWyEzcCgsOdHGRpfHJ2tO1j4GOpcH6ZoRTc3uPkyzH79bMSV18uFYeYl/z1T3MzhMY/D4vDcS/wO7x4zu4j008Jt8uveLK2B9VHm3ndjSP8e2BSCcV55z0Y19chICvSSEmmh8fgu7qm6cVafFO9Hj8SdcqWfYJzR4n21n6LUBmudanGKJHmghzZla5QpxOH04sU9bubJWetSI50Ud9yfbV7qpr9env2AHRbjtIA2dE/wHJSWVdpUPylwpc/1L9U8xTxim/PWxXcaoXSKgPz6p//yEwj7W8iW1wAApTAoFX0Pz3PaGCwOt4FPfAz9H/jwkd64yZoHR0oBCYGlZoikiKgZuXWyHWvHLpU0sXN+YFMljy80cLWfAoJ6shlDPdRKbTDMaA2AoLRJrlWrO6YLpZEqDQgBrYH3X/4i2mkfw4VqYjqW9NF84Tl8+tu+HwNeqwwZYJHRTo14qRm5iMsZ26D7ilUKJecVGXULceiiaPUshVtxNzVvs5u7WQGoUaaco/ROU6zuNezk3Rxl0IZEapJC4bmL2+hNChTauNRIYcdLoTQK6+PlWlJuw/HFqwNkpbHPZaTMqegcPXdxG9cGKUJJKbih7ffHDpiBnRPqTshhevN+bPVSglspJg/SqkRj1ij0fU09DzLeWLsHzGsQyYbSMC2hjcHKsbZTcSoV1X88ZBXUePFjIilcJOXttidKoTRGmbLpJ+aWvVEiuXOjs9aJ70uPxJ3SSwrkpcFSM7JpSAaRFM6bWViLiXLtbTqSXQQjSX2N2JM8K2292o6xVWjkSs9N1eHo2by6Qk5DOYwpc577i5dvDLA9KTAuyED48vUhBgnJebPRoA21G7mwNYGyxtrseCw19YPiOigAU3VpV3q0oS+0Qbl4DL/1I/8rAODsagtfujqAAVzvsSv9FD/xG/8zVnA4BCvuFhaQYjjF8MmTCy7trG97kz12vIPzm4AEsC0KaGMQBdQg+9FjbbyxOYZWBiutEP/Np/4T3v765wBgqoE220OupjCQrq6JnT9KG6wlfUyWj+FXPvwvAQDPXdzGv//9n0NsDNaHGV7fHCPJS0gpMc4VEisuw/MhOwvZQcVOxEFaYH2UIZICw7SAEAKvb4xcmwJOQazXKM5S38TfDvOyEFhQRF00yEuNF6/1kZZUh3VjON3g2+UPHhLYycsZNUmhXK1jYWsRAyHI8LdRNCGqa9+2tdNsNJ1YiMEaHw3bUB0C4JaKhdJkzJchomDniaird660IiSFRlrr53qlnyAvyRCm7JSqzn5jlKPUBpe6k+mMISnQCAMsNEKcWGy4djmVU7k4sve8x/Nm8cbaPWC3fNtBWrqFO7WbeFZV2h7nbiH8ajeh3ioAYknpRwaUpndtkMLYnkdcrBtZbxinQdajZ4O0RMOrMe2AF/jrgwxpqTBIOxilhfNWG1QpJp04cE1qM6uONkhKhFbq+ko/hRS06NWL/QHg8rCAyvO544KjZ/M8kPUeRR7PftJNSmgrKCBAxtO1gCIwPD8JAXSiECcWaDN1m0ES996FRuiME/bSsyPi9FIT5zfHKFRVN5PYRr7AnW/eDxPbkxxJUd3HpTIwwmBjlDvBjnFeOecAACAASURBVCRXKA2l6HF/tUJp9/sBilhIISACMsC+9o3PY2ncw2BhpYqgkbRkhd3EC/uHFFU63VZrGZtvf2/12jkXVEppUyrp70JTmuwoK5HkCqmoNuW89gyzEmPrSARgsz8KGGNcaiZgo0E3cTLW58NZJ9d8Zd+CmnfXojOX+wnV6tk5fJCpXSN7Oysz7y3znLyFpp55USARBcB3vPUUzm+OIQTw+ctdANxfjQy0QNJlPG7vK/68p04uuvt4oRlaJy+w1AxxeqnqlZYXGnmJqXKLWXEzoFI05ejl+c0RMmWw1AxxqUsOGb63rw1S14ibofYCVDbAJQjAdF25b43jeZDxxto94mYNIpOyRG7TETiHfpwVrm+OMeSx5B5sk7yElAIPLzURBCT3f32QQqAyFlpRiLjmDYsCMZVzLnDzRXGWvZQdvplc/mFJZ2JDiQr4yXMYBBJSUv4/BLDSoo3j6aUmNkbTUQSWf15qRs5rzOmQdWNNGeMEBm6Whz27eQUw1ZfI49kr5t3jw7RwKVAAbe5GaUnjtiZSkdt5hAMRzShALIXLCgilhDEaD9sNYKG12wwuNSPcqPWWFLDS/Pa5VhQgkNW9k9XSL3dTnzvsUBppZSUYYXYYRs0ocL2o2Kip11XFYYC3nVrEq+tDGENiGVIAg4VV/C8/9HM41olxY5ACgtL9ADq3AsCTDy3icpcjmlZE5MYIEMCHnnkLGr0EkRROHVGA0h47cYBQCsShQCcOYUqFUAoIKXB6qYk3NsfUksBGf/pJ4WqkbtiapnYUIrE94iaFRhRUkbgNG33jlDvu4RWH0+mbs06ueS0DhAAaYeCiM1THXYllRIF0vf++462n8Oo6tZZ44TpFgKUUB26s1X/nJKeUzaGNZg6SArky+MOXrjtjaGNI61EYSOp3mJXIaClzAmWlorH0yfNbzmGwNaYadugqgjpIFYw2NHYM8HsvXHPN1UttEAY0BpphgJOLMTZtRO2V9SEiKXB1kCEQlNrLYiiDhByfWamR104t1zfGobQOCWBjmE210AF2tivytdqeBwk/0u8BdSNltmh2a5Qj17T5SKyRkBTkRWUPlhBkyCmuZRDVxDVMSzd59SYFwlAiKyiac6k7wY1+itJQc1XmpRtDxFK63kf1lLv68TVCuaeyw/Nrrg5XOpMUVf+ic2sdWiiLElrTglOqqnVCUts8GWPV6gzw+cs9XOkl6EShKwbvxAGWGxFWWhHWBynyLJ9rqNbTIAEvb+zZf+r3OI8/rolVNqI8SAtsJwW0riITsIIEG6McfAdv2FYhnBHwtKI0yDesVzwQlJ6XlhqdOMD6MLX9oej1vGke5wpX+ikZA0KgGUo6llqd7jg/vD0ld6PU2qVNA8APPf/7eObiF7Dwx4EzbgQolS0OJEpNanp6JgzUCCW+NithQKmUrVEXo4VVHOvEOLXUdJvrKKC5ZNmmrZ1dbbl+donNDggC+s5OHCAQNuW7ZkFObFuZcV5iUgDX+gnSNEenEbk0uVBKBNI4SfxSVw2Zea1YakqEIGO8M6MqSDV3/G9aF5ph4KTqC0Vpdq9vjjDOSpeGxynnp5eazqiZrRUmdVGDOAx2KCrP43ZV5/YbduZ1JzmaJkAcSBRaI1cG7G8tlKYm6vaaFZqcAaU27r4sFT2XleQY6E5yer+rhTTQEOjZ/QQpOBqEYejGQXVN7ecZIC2nhVm0LRMwBlAwWGyElcMzoBYRQoBaVIBUZMlAExjlpSs32Bpl7hrynoT3Q6wi2YyO1n3v8bwZ/Ei/B/SSwvXiqjeEjUNJmxpD3r5WGKA0VAzeNAJve2gRhTY4sRC7KM51G7F5ZKXlom/sFZ/kClKQV1AbqrkqzU7VqEIZlGra0JiXcsefu1eyw/RZ09GieapfB01Z2xQOU4pyZjbKaUxpvdWla27Lxl1WamirLjZISgzSEsqqtmlFKYx/A4swsOlDc8573aA1ZlreeLdmooe1ubLnaFC/x1uRcc4Bjq6cXW3j9U0yuBoh1bgEQuBYJ8a5tTZ4VEaBoIbONQwM0kKhEQZQMAikwGIcot0IsNCI3PcDVS3vQ4sNXLZ9vo61IggprOEGV5MDHE2BnUFSIqulM7/n4l9jddJHEh0jlUibpigMUEDb1gk753ExJdBhMFk6htefegaNkOTVq5R4Tosj42ihEaIVBsiFdoIhDBlktDaY2jyUK03pmFasJNfGiVqkJW2ktdaQkvq3FZoiolEg8PjxDt7YGEHbOsVWGODcWsdtxs+uthHb5tsASemzI5HhiAtAEaN6NjiLaQB0nLNGbe2MYcdJPEJIARxfqBSbAeAHnjmLP3t1HdpUjg56LSk5StDlfctqy6YYUirx029ZwafOb8HAYLEZQgiBlXEPP/PbP4VmGOC7rSOS7/9mKF09mzH2DrctPOJA4v1WyaRp2we5uu5A4rGyyiLhrB5h20Rcfef7cOG7/yFGGdVosmDNzYgkZQmxQenxPCj4Xdw9gCeV1Xbscuh5o55YT2AvKchQA6A19TZaaUeIpMRjxzuIAmrAnBQKzTDAu84so1B6SoWLc705r/3cWgcPL1ND02998qQ7no+/vgmAFkUAbmE8DKmIhwWXgmT/PmVTt9pxAGMMnjq5iI1RDmMMOo3QFkfTAvrtT53En7yyDgB4y0rLRkZpU7Tajt1WdjatA6iMee5JU3/dIC1dncEsh7W5sufoIYVwG/TSOhUudSdunI4yRb27IJCVtpE1Kj2GWApXxxZIAWUETi40EIUSUUCbyKRQUz29eNjy34uN0D22zXVcVuwEWxv4up/6HwEA5Td9C8Y/9E92/IbD7KTI56ggbreX8Ymf/PfYGucUfbQvWOvETpm2l+SV0BHIYff85T6UMXj0WBuAbVJdkmHFzhtuZj6wKXQ3hplTFc4VOZhoP02OplFeIpbSXU/j/gNqvi2rBEGu1x1lJXJlILRCL6WN9yAp8L7/9zfxxKufw1tK6vcZCPqMLAyw+I734dW/+w+c2MzlboJCG3z2UtcpSQJkbHKPve4kd0bdQ2HDRoHLqRooKQSWmtFUT7DVdowr/QSRrESfOL12rRO7usj95sYwdamMQDXfc++9ugFSbxrOx87nISs1hBDYGudOlZijspy6LGsCI/XWM4EU1G5Dkim32Ajx4uPvwTvPfx7C1NqAGrZtDZSBazdhrENZ2A8vRWVIc4ScX1uKaqxrw3XfgICB2VzH4l99Ei++/3vQTwrkSmOpSWspghDXu2O0oyoSOqytf0e5ZtVz+7ATetapf5jn9/3iwfq1Bwhv/ruT3OXQA+wJpH8rbUi2uaAFdH2YU+59JHG1n8KAUh2FKKYUlngTxXLPOgIKUEHu9iRHFIgpTyUv2q9vjBCHcirljlPzOvGDOzTYi8vF/QDs5kehVCEKbXCln6A7ycnzaIBUaXder/QTJxTA9CYFQgk8f6VH164sd6R5ANML9CyjrEAc3HxTcVibK3uODpwGeWOYISsVspz6d/3xy+tOuZHVHJU2uGwf4zj9hc0xDICtCY3j95cKShs8f7UPKapUPgGB1XaEbTv2v8VGRp6/0gdAKpHnbSQvtGl2w6zEpx95B76r+wp0qdDobcF88s+hf3DaWDsKTop6fRU7WL7nXWecit7AGjzLrcilW3PdUa408tLgocUGji/EMKYyPNJiWjQjkAKdKEQghTuPnTjAqaUmRSnyEuNC4dWNIQBKkUxyqkULrMG2POrin//6T6IRSvy3NkMkDiWlztkvi6TE++w15PpepTWW+lsAgGThGAADBZov4611nPvzj+L4X3/aHetb7EIYBQLHDJn/9RitsN/7bvs66uUt8BAfQyDRsqmArg7SvqaQAu8uqaaYjZnvtOf1+r8N8X3W0fld9vexKKVOB5AnKkfnm2WYllO1oHW4DyEbS1zDDky37OHXArTGX+9nSEqFcaZgQI3U2dnCQ4HXI3asXOknKDWXXSj856//e/j4N38fSm3wrkeW8V9evAFjDI51aB1615kVbI4y1xYCpqp3PL3UdFE9dhpsT3IIA5xabmJzlE+l83aTAoDBR/6fn4a2KaujvISEmFJbNkYDCKYUlfk7b9UCwHN/wE7oOkdhft8PHtwd+QEy24AaAJ45u4r/66++ilxrSKEgbSF3vbZBgCZgnuiFIA80L9S8GE/N+KC0x3r6JSsKdicFRK3+rTvJXS+TN2uszUvLm63D4scOi4eMPZtceN2d5O5cDZICae33jLISpdLISlpIS2XQT1kRa+I2oa5R9iQHBPD65hg3+imEnl6Y+btZvromyAWANkDjXGMi9JGs0/EcPuZ5LdeH1HOJ0tqqmpflVoT1ITmMeMwKUEobCzUANPUEtSizqMkRFjaKw29uhA10otAqFNIr19oxhADOrLRItMCG7Dja9+vv+E783X/8c/jsG5t45qc+jBg7U6sPu5Oi1KZW9zdNOyJRjOOdBkqtp4ShONUvCqiWeKUVuY06RzI58nZiIaY5yAAqoHR5TmlbaIS0jgiBOJJYgTWwQBtv7i0ZSIG/fPTd+MCVL0Jguo6LHYvGbaR07Tdp1+urt7SGq+94H/7N4x90aW5GG3zfX38Uf+PVv7Jdko1rBcGQqMrsORIwpXZRR45PcVRXo1ZPyU4BQeNPGoFSW4EaLaaUfVPrUJiCx92Jk2j8rW+be63ullAKl9XCY7XeNofH8us2dZT+pprzqo5duHNf2rXE2O7Wswbu7M9ipJUFbdnoYyuSyBTVV0c2BMqS/ycWYhfZrqf9A7SXaUYSEsJloHAN3WrbRoYFQHamRhgAUlDDbmGFX8YZlXAc68SIpMDbzyxjOE4Rh9LdA0LQ2F/rxHekDHkrkbQ6fl09fEhRCeQ9yO2l/KicYZSVwDC76YB4szczb8q5ELo7LqBAqR/XhylKRcX3xhi8vjF2nq/eJKe0h1FODSzt4rLUDJ3y4MYwRxhILMYB4pD6fbWiAJEUOLnYcJ6ouvT2LIO0QFzKHb3d7pTdhEnq7KeHbJ70McO96epc2BpPSQf3kgJJTp7ItKAFvRnRuRvnCr2UvIGs7RZJAQiBdhy42rJGKBEH1ARYClLJe+nGmPqs5WSYsSxyGIi58tVRIFwKbGTrER9Ez5Jnb5nntQRocSyUgardH2dXW1i3DazjMKGaKiGw3I5wdrXlTLIgoNqypWZE9WVSQBiK7oyL0jV0BkjxkEUweJZQxiCwf4VCoISB0hoKAixE2Z3ktpGvNQiS4kg5MGYNA74EF7bGzoGz0op2OLEWG3ROeS5fbccYpAWUBkm01z729FIT3TGl1teFkELr4GOSmSbmQ1uLy2mFv/Xu78ILz/4gSm3w1lOL+NzFHnKt8NBKG0WuMMwK931f2ZpAG4O1TgNC0LqljcHppSbyS2RsxIGAkcCffdP34vfe+/cAQSlz2gD9SQEjKDrDzi2eRwtFaX8nFxrOEUYnj56T1gC61kuhYBAH0kYH6XcstyLa4BuD5VaMUht81dZEvu3UIt7YIPn7lzcoUnysKSGkwB/+02+4o2u717AjgjMtuM+aMRRBXGlFiEKJZiSc07YTU+ZOHEhwHgYbUY1JDmOod2sopRWVofGw3KYo7VMnF7HQoDR+lvx/6uTijmNjEaInTnRwrZ9CCOCdDy8B4D5tBufW2uja76RxKHbUXQsA45x6OG6PKROoNymwMc4hUEn2r49yxAGlfu5Wvz3L7e5F/LrqOcwc/pXtELEXNzOnOtwYphjlCsOc0l2u9BPq2zUrCCIoxWUcSCdMUWg11YuE0x8LpV19giyAF68PsD2mVEoWJpFCVNGiWt+UdhRitR3j4vZkhxFzt8ym5bHBNC1Hv3+9U3abpIcpFfnXI47c166onR+ObKqaOlooSTWNjV4SPBBQARlmXFCfK9o0CEGF1ga0UeINcn3TxApb3Iy03lSbj4FTRPo2GulrDD1vllmvJafhZQWJOFDcgxrZZjaNTNb89VyzxEIGcUiNnbbGOUqlUdpo2vVh6hwnnDoMjJHkCgJVA+ervcSmUebOOMxKcnTwjPfcxW28sTFGqQ2iwNbIHOGNVn16YgVIgNaKvKwMk2FWuJ6NnTjEWifGw8stjLLS1biO8tJFqOJIoiWEjYgYDNMSGhTd5/Tu7oTq4Hh+uzHM0J0Utq+bgtHA+a0JjDboJTm2x5SNoZAgtw5HgNaenk19Te31muoJV5b2N4SQAJqxdn3ipKRxGEcSgbCORTXtWCyVhgYZXTOJI1QDZo2a9WGGwJBkfJ1WFKARSGjQPMtCJMLWXWZKkyPBEkoJOSdVsb42axtdHNxCJKuuXsm1Z8B0XTJAkbRxXqlcct1eLynwuUs9JKVyhs+kICficxe3nRAPfxavNdrA1QjORl7PrXWm6p+1le3n7y1LCtFldr9ypZ+4iCt/DgCqUxTA9WEKrQ2eu0i93m7YdkI3FmLKSDFVZJj/r+35TDn9UwrXsmKlHZEDyExn/jStA8PUPu92uJlIWp0HNWLjORp4Y22GhUaIE4sNIN154+7FzcwSxJNCAdaQ0LbINwykU1oyAI61I5Q2pYVTEJqRQAshzq11ANACdX6TJrDNcU4bH1OJLnPa5Cgrp5ozB7YIG4DzzK514rnRtr2Co4r18zhPZGMvPeQ362/XjCQaoXTnEaAFSRu41I+zq23EgYRG1fOuHQVQxmChEbpUrzAQztji88eLGG86WP1tmJWkxjkTPRvVonnGGCcmcnqpek1acmTN5+t73jwbo4wyCSzdSY6Xrw+RKU1tRFClTbG6YCCES58CKkcIb/sCIaBgkJa00Wdjz6X+mSqFi73vQlTz1cgaEbz5FEKgKPVUPtc4Vy5NU0AgDuRUjehs+5HDHm3jn1afi+bBjiUpqjTTEwsNnFhouHntZLeKukUB9a2KA4lJodw16MQkh8+qt7malulPbQuZQAiU0jhBCYbnOmWqdE7+WwgyxHXt8/iYXYqeNUhDKSClcNHWwKp8tqLKEca/k8YOpzaSwc+vH9aOjZ1j7IAo7bx7YiFGd1KtA9rACnMYLLciLMTB1G/k/nF1IimQ16KipTXWLnUnlM5fEzSpc32QOvVKrj3jEoSp1w3Tqagr35vUNoMyaiY5X0eOSNG9EAbCZWQ4oTK7DxD292oDrI+or+HzV3rI7D26Pshcv0QA+IsL29ic5LZdBH2OuEDOzDokHmSwMcqwZdWqL/cShILq0qSg2lOuv5zYxuiZojGlNKXOXuknGOYKkZTO+dObFChtfzYuDciKKo2a18ujFFH3eN4MfoTfY+oSxNLKUWtDs7axRdWloYWJ0wzGuZpqiApMpzwsNSNEUpCCl6SeREIAbz+1hAtbVJR+drXt3h27Bs/THrytcY7NUY5Cayw1KeK11IxcMTxH8zhtYjfZ/fpzLFrAaT51rg1StKJqGO6lh3y3/nabowyFNlOP1zeuTG43CexRnFijuZ5imRV03XjBuzZIMcpKkh2v1ZyEguSKS6NJArtGZlNEAK6z2JkOyZG1uoHLxx9KucMAPEwNxz2HD249kdtoLgCn5Mc1MGyEPX684xwqYcCxNdowj3Plaoa471IkpZXZp8ebNh1YG+PqYVZaMQQKmJrYP3vO23GINKcdKde2sIzJ48c7eP4yCZHUJelnOWrRtlvdp/MyE2bpxCE6Mb3m9FIT2lQ1bmwcPHVyEf2E0s6+2pugUAbxpQAw1DJhtRUBEOgnBZQh2XeA0hNfs0JVp1faGCWkRBhA4LETHfccG1psOD12vGOvpcHDNr3+HQ8v4cVrQ5RKY1ywgU7CJmRY0W+tqzQa+9uPtWIICWfE8zz80GIDW2OKFHIkqTumRswLjXDqs5qRRKGaMAZ476OrSG2KOTfFjiO5IyOjGQUIa8aUtJbnUjNy62S9xpDhDIp3nVkB1541IrnD4cZrAK/VLDDCDeIBwGjjHIEGtP6zQcuRTDa83d+GItZ5qXG5l0Brg4+/vonUqlKPchIMkdZ4rs53JSCTlZS1E0npjDQ6B8I5cSCAhThEGPAehs4Zy/mP0xLK0G+oozSglIExJNIVSuEaaNPvoNflpYYy09dkt3v8ZkqC8/B9TD2HHW+s3WM45xygSSi1vbmGduMEmKnmr1yAywtNPb0kkgILjRCLjRBxQBOtEDtr0bg3iWOX6Bk3NGWkgKudSK3wxu3s/esyxBQtmm8MaU3eT96A7GUqwrwm3Aw17px+MreefrdxTci7N5t2IwSmImu8WeBNyoKVHReoivrZQF5qRpRrr7WLbFLdQQAB4xrFzotwZjayNo9Sa9eclvEROM+tCKTA6U7TCRmw4yaUAsYISCsxstSMnLCAcRs1MpQeWmwgCMio4jqSVkyVZywwEgYC7Yg2cq2I2l+cXm7h+iBFIKi2SAB44uQClDY4s9LCC1cHgCFlOdpE5u5YCqXdprSuXnsUHRM8C91q7tNmWkWyety499Y3pvU5WAA2zb7KIGjYtO04IGePMcbO0cKm1NPRVYJUOSYc0ZjkyLPSOfCuD1IMbOSPMw1sSzZkpUY/LWxENXHLz5VuQumW7AizLQo+e6mHzVHmPgsARrmGhJ3TtUEYSExyWjO79nuzUmNzlEFKgSt9SvvvJSSycmOY4saQHmuEAQJJEVsphZO+L2qLxTy1xjiUqI8ujjoN0mLXGqq6A/Ti9gSFNrg2SBFK6WqgB2mBK/0MEMDx7gRRING16+agUbi6w5G9hlqTEbYxytFPCyhtoJSBkNVzisPasKIyIaXlKyvcEkggcJkklcPEGV+g+1mAauPzklJFuS5V2nTmU0tNvGGVW5Ux0CVvXihK2gwpLRMCkDbURz3XaG6IA2EzVwxFfGdO/SgrUYQSudaIQc5HNoB3q0O7WU3uLPWesh7PYcUba/cYNobigBqHFkqT2IQz1uwkC/aSVZE1FpcAMLW4JIXCKDfWq13Vf7x4fYBrNnf8ua9sOyOxO6E6thevDwDARd8WGz1c6tJmbbEZoh2FWGlFaNjozM08u/M2SNyioG4knrZFzvV0n5dvDJErPbXZ2Mto0KxSHP+bG7fWjy8OJFohLSK5UhikRZWjL6SLAMxO/4EUO9XE7OtK3rHUOlHV69KYjVG24/0AnPgIyzEDVUR03jk67A3HPYcTvk94E2RsKhtvYa70E2yNc1s3S0luxlS9nYSkvktLzQhKaXRi2hCT84iaYLfiEKGkyBxQKcwBlVODhRAeP97B+iBFrgyG+XQbjJVWhNLW9ipDCpYrLX3gUeTbVZ3L76DWpk7dccY0QnnT72RlSRYk2RqT0cDiUXEo3ZrQjAIUSmOcK2p6LmgzHwqqm1VW2W99lEFpg8VGBCWFi5wut6o2DM0gsDVvGoCxnydgrIKggU0H1wZSAs2AHFlpoQAjXH+/OqrUUHaMlNqg1IqyF2Y8j1IK1M9QyYVRgBODSnJSHkxKhUBIXNiaYGuSI6xt/I2mMT3LVM2aMZVyqjWkW3P6tVG0moy6fkoiO+0oQKk1Fhs0XlmQB6iEZHiNqkfWOMNGWkGZc2ttXOklKJVBFJLC4nIrhBTkpA1DcqJ84PHjyEuNOKCatXc+vIQXrg2htMGppQZCKVxq7Go7drWnzZCuDas6KlPVYQN07UlIhowtNtj5slDTdO3ub4GdhnBWUjokvYb6NzKRdeIUSqMoNZS8tfFVZ7Ymdx6+Vu3Oudlc51NS9w9/Vg8AVvQCKE+/EQR46uQiGtbjTBt/qrUqNfXTGdt872YUQGnj0o1GWYntSe6kiGl7RRPtha0J1ocpAinw6sbIRYjGuUIoBG4MM4RSuA3TMCvdYjBISBVsqRmilxQIpdwhvT+vUSFAky+/9mYTJN/UbLQy9WjQvAlhNhWz/lm7wfU5fMxXBymMMVMCJ9zXbpKXrocdG2GhrIznegDLgBakAFSrw8fNKTr9pHD1GwK06R0lJQql8Lr1RnbiwPWwYppR4FJgOc3sq93JA93/znPv0FYGHJh2TgjUvNnWczGyfZcAuheVFFXzZut4ypRGZAzywiDWVNtUT+/WNgV8a5y7DfHWpLDRPExtwHtJQfcXqJfX+jBzc1snDqfmpXtpwO0maFRPyZ4VRuBX381xLjTCuSlg8xxUPCc/c3bVPcfHtNaOkCmFpx9ZwUN2bcoKmsO+/lF6/dtPUQGtMcDTX3Mc42HqmjS/99Fj+LPXNgAAjyy3UGjtVCWffssqfu25iyiUwUo7sq9fxWcv9aCMcYrFHHX6zq89hS9eJUcip7i+sUFz5QffetKpH/N8zevXtz91Es99ZRsGVeom9+r7wNccx+cv9xCIKpLGfeve+fBSTTGT0muF3Bm14THNcFrv208tuXM7r+6Qo9XvOrOCQUrp8Www12vP+XWPHafHuNbr3FoHr6wPp4/FLkLf+NhxXNiinquX7ftXWjECSbWcsXU+vvPhZfeZ2tCxrLVDZCUZ087xwre2zeDh89Kd5LTOSYEcVSYJR9ljq4QchVUKbBjQHobv8YVGCAPKEJFCuHu7FQdICkrTjW3U8+xaG69doxr6RSsWU2gNaXbeW557z7y57qilnR81/M7vHtBNCkzyEisbEW5YxaVBUiCxRg2npmQFFXbXN/38/15CDZgzWzOV5MoZXmzQGGcUCBhR7bTY4IgCakTbiQKEgcBjdqFgL+aZ5RYubE0QSYGlFg0NNo66k3xHE2eWv+ffwPetMcDVQWV8cGSI00EWG2MnT91LC7SiwG0o6huteRPCbCrm7U4QIyvswcfM31OPbvXsxoP7qS02QieGQMp4VboE9VmjonoYuNQSWAOLFj4BgIq4Ocf/wtYEaamgS+3y8id5gLSoakr4HOaKHmPxhO6kxKjQh6o3nec+xqbyCkzXv758Ywhh69WWWiFOLzURSnK08FxTGWpEqQy09Z43Qpp/6undHCHhVEsAAG8gtUG9Ypcj3vzxhdZOQr47yd3GfcsE1wAAIABJREFUmeeO23Fw7JVHeDfVuVZEx3O7kuP7QT1lEqg27xpmKsXaGGBckFHz5etkKIyy0km0X96aYJxkuDFIUSiDjVHuatbY8cRz5dVBhovbEwirRBxKgWuDlNJbOQIDuNq1YVZOtRsAqBaSHWi9Cc2bnNZoDK1tg7Sqc+K1My311O8StRrHEwvUYqBuRP3uF28AgEtPrDObBgkAYmsDS//kv8cCD1n+LlEZe1/HNXlRgGfsepq9/5vR/dCHp4x4PmZem4ZzygZakXQ1zVPHIaoI5VIzrNpmQMCguuZchkEZLAEAEqDJSl01rZ7kUEpDwyC1OYmDtMQkL0kQxqY/5vb72oVCaQykTZ9l8pLGArcnql8TCVoTjSGnQFozCgMpcGlrgi2rZM0MU8ou2hrn7tz4uuyDY3au8xHK/cUba3eI+Y5vxCaA45/4y9t+z/X+BJPcYLFBka6v/5PfxOMv/xUA4AMFxV1avx/gX/KkDnJU86IeSODrdZX+CNiaElD60LdYsQqeKHmCa/2XAM/W5bJBN9h7uMbq/ybB7UetslQYCPwd+1lWXdhtoqQU0E89g098y98npTEpMLAeynYcTPfykQKpVR+7sDUh5UtQHx0ALtWyFQV4dX3khAhaUYikIG8sp/8BcLVdQOWlZM/kvNewcVhfOF7bGCMtShzrUC8ZTulgLy29jxaASU79gb54dYCR3QSGNieGDbpL3QSDrHDGnLTKZMqmdLIcMaerABQdSApF4iICWLIy1AuNAKO0gJRVeknLRtZOLsbYsBvaL10ZuNYOvhbN82ZhZVqmvgmqxAqI1XbsNrl150nDigeENsqwbFN0OVoSBSSgdHyhgZV2ZJsdixnDoFIjnEp/sy8p61bfDKU2uNxLqO5TSiw1o6n7/3YMo3vlEebNTTxzTPzrbl2zduteUbvB/R7r8Hkit5LAJ89vYWSNnu64sM2N6T3rw8zVhMXrQ+RZgWFKWQLDrHRqgbMS7VmpMUhKCFlJyV/qJu739u28y9Lxn/9qz83LfP34s798fegiqVtjmzpuaH167mIXl62heH1AWxuW9Q/Pb+Hi9mTqt49zSkn8w5eu49X1ESK7pgLYUaeM2uNM+v5vQvipj5P6pX2CVRcBQFoHXqWYSWmG7f421Kc/js9/0/ciCij9cKER4gtX+iit4cu/WQgy4r5kI43DlERfkozWkP/0/BV82ZYzdCcFIMiJqrRBavvc1X9HM5JoghpNn1pqoFAG7330GNJS4Y1NaodxdpVqSTWnghrKBOI1vhHIufeksddcCoFIkhMlKzVSRe05+N7OSm2VJmktm+QKmaLskXGmIKXAtT6pSIZSQNk+enmpUUoyJivDtnAR9VnYkPPZKPc38zKw7kcj3o/iO2Ccl2BNxTvxImxNSCJ4qRkhkBJPvPxZdAZdjJeOOe91FAiwI42rm8ggMwikhDbVYBSgNAX+Py8K9ewkADf1wDGVwEZdj42f4zfQP1r9bZz78l/iT77xezGxUT32htXV2BohqWhxBBAglavM9gAKhUBaVJuVYVpACmFTWnK3mWtEgZuQ6x7GGzNNXEdW1rcOe0kZMvxywKZQCA4XzNsDGhLrgK6augL8VgOtaWFObfE+f4+E9ZgL/g76gkAIV/QdSGuECUAr43odLTQC5MoAis5rKAVg+80sNEKM7etKraFqUcuVjWiqTxwwvUD5CJxnN1iZlo22+iaIN5w861zYGrs5r6gpF6SlwrVB6u6TtCBFPxNKK1ABLA67+PD/8S/g2qtZpBB4nyEzbWHYxWBxFUmhnBhGbntfzdYv8Xur31FF8VZqfbiaId1Dh62/ktLGRdrvhLpk/93QjgM0zXRNVSsK0IoCnF5qop+UaMf0txAk814q4yKO3P8sEALH2jHKsDqeMyutmsBSgFJXWQinlprYGKYQQmDF1g+dXW1h0zY2b8eU2j9ICqcgGFlpf67V4lqoVhS417fsuqOUmW4VYKqoXqHpeJNiujcpQNkpBgavro+mnHYA97ubPleRnDZ2r3/fP8Lgu/4BgGqNOrPcwpV+AmPger29ZhtuP/3ICn7vhWv4H/7Dj7lm1YUybl0qlZm6QYQgZ0hdzGoobE2e3Td04qBy6gaituZXa10oqk3rUjNy90ogJaRt2TPOS+doOb3UxEOLTXdPswHXSwqY2nlnzqy08NVuAmrSHQOG1C6NqWpQ6bKw8WqVZoUAhEEcSnKGiqplwunlFi5tksq1tErXLDaz2o7dmNzNd8ElFffRft0zh/kpmfefQ9sba3dAXmq0b/2yHRTWo7bSitxCmKys4U9+4t/h9750HcYY/PSzb8VH/ugVp4ikYfANj60BAL7meMd51gJBsrk8sZ5dbeHV9RGkEPiLC1s2mkOD9oNvfQjPXyGp4JMLTSej/OevbcIYg3eeoTz2y90EEMC7ziy7HH9eHDhN6UO/9M8hNdUc8MTPm6KHFhtTSo+RlLiKqgC6HVOUaHtGoKQTB+67O40AUSBQKErHObPcmoqaxaFEOwqw2JhuRcCetXqtANeh8SZ0pRXRIlarFejYY3rq5KJ737U+CRpEGxKQwNtOLeIzF7YBVM1+j3VoMXry5IJLXTSGDF8+72dXW3QMbHUDSHNSr2vHAbTdrCV2YwtgqgmsQGUALzbC2gaa+krx3/XoI2MMXbtOHPoInOeWsChCI5RTm6BaNhcAuLkLgJPeD6TAIystPHVyEc0whDEGDy83IYRwqqbZ+78Z5af+HEFtXmICAShN92Wysob1d7wP73nLCiIpXU0vULUD+EqXHDXvOrOCY+1rru7l3FobnZhEFR4/sYDXbTrerCPjIKmnu/HvYfis7LcXeLYJc51Hj7VRaINvfeKEe63RBpNCo9Oga/n48Y5T8jy31sFokiK0UaCHFhsY2HYAkW3KnFqHXTsOrFOxuv7jXDmHQCcOEErqlae0pj5rVj23wUqCNULb8qaKmmoE1uBphcEOQ1hZ59r8WkH6bz0CK0B1X/GMuu5CI0Cmbs9YFqJat7hP2Lm1TmVY2XWTRUTOLLfwyo0RcqVd2wFeXxdrbQdcTzpajrDQCHGsHUOKKvrYiW0apBBoBeGUUEp9DISS1ttAUvsBvmeXmpHLQOH004VGSCnKN/ExsCHG+5N54hORvabk0+SejTQ+RqlL5YE2GsO0QJIrqEAgV6QYqbRBYJ0vfN52Y3ZtZLwIxtGhPm8y3UmOsOag57RhFpKhgMG9O8Z7hR+xd8mdLKz1IA5LwQMUWWEJ6iv9hBpCGiBTNEFujkh2OAqkM3QA8pRx8TdgG0gaklg2gHOHX9yeoJ9wuC51rx9n02kn21Yd8kovcd/Diwp7S5UmL/zWOJ/q+RZJgUmudtQY8GcLUd1MPIGnRekKm9dHGSAE3tgYIwpoQY8DgWOd2MpLCyw2IjKU5yht1WtVGJ6kuelpLylcFIufG+eKvLkzE/quWUaimghOLzVxqZtQw/G0dE2vWRREa2NTiDgCoV3EQGmq3+klhY2qVgu6MbSB5QjjzkMwU6qasyIvrEq21omnxFM8nt3gFL3FRr3nYRVZu9SduLFGi6dxtUIrrcgZcLNjtvuhD+Pz3/S9AKrNKdcDnV1tO0Vahp0pKy1yCkmb4hTUVt+1TozQyn1LIaaO+VYcVMrMbm1E9hquS5udG/gY5s2V3MqkbuC63pK5grEp40NbL3hjmGI8yZ2ycDsOnHAHAOfE4rpbrgM2Y0phPL8pSZ7fUIQLAtieFNDa4LWNkVs/2DjcHtNc+eXrA3o94DIOOBWdFCV5HiZPOzvBoiB3fftCIaxRSQ6HZhRgrR0jDgUi0Py51Ax3qBYuNiM0awYfq/IyUSCnnIaPHmvTMbCISycmg9HAtbKpGw25mm6bw0Z9XfgrLZQVE6PX3BhmyEuNRiipubk1lIxNzRRyWn2RFULXOjGOd2Lk1pkJwB3LSivCcjNEoY1Tj1xshFhtRSi02aF4+dBiw8r/kzNTa+1qB+uKrwAdyyQryY8pAHb6hNY5zE3VARp3Q+u8hqDzIQC8vjHC5T6tvXzvX+kngJnO8uF06Pp18iIYRwues+q3Ijn15xvq93MbBm+s3QMKTekNq+2YGsoKmpTI4wgIQ5EkNoxYie30MjXtfNupRZfvzlLNTVsTcnq56Z5rhsGUF/LkYsP1q+GaruVW5KJEHD0LbL0Vp58AlZHWCKkJprRpfXVRgLuBNl1Uy9KMAurXYtN7eIEHyJtIBpbAxihDoUnqfjZdZfZvAPjK9gTl/8/euwZLlp1VYmvv88r3vVm3bleXqlSaapdaQhp1Yz1GFiENGgYND3uYwZgZYMwwdgDGgQfsMCb8mgiCIDARlv0HJggHDI4YfhAwDjwG2zg8DAJGMEJYGjUSgm6KLrrU1V1Vt+69efPm8zz29o+9v3322Xny3MysvI+qzhXR0bcyzyszz9l7f9+3vrU0rSYRylz8fn8CzoA3+1oZbRQjFdIoMgLAI6J56Yzdg+OpoidCGmniB8cTQAK/c/sRDoeqqkf8/VTTytgj4HiqKJTUrzBN1ST92sEI0yxFJpRRKWMM01RgfxAbuWapm7G5DqD7k1Q3gavJ983+BAHnRkwh9DiubtXAGdvI9W+wFoic6Vi9nVAVLCEAIaQRl7DHCHpNCAHOucngA7O0ZkJ/khiD4+E0LVTl9oexWoSvEPycJ2WGkiinKTBSJeVfVVkjZT4bjdBDIKRhPLQiH/XQy1UdswyTVM1DzdDD5WZkqlq5J59iTdQ1La6taXiRzxEFXFVLdAWL+rBteJrzVws9QEjVY+eRdxzTdDoYnX36atMURWqk2kH1FnM90eh/T5JMB3UqEceY+q7c/kCijBJ+68/2TBKQWgPuHo4w0MrNpOBIPWj3jsZ4vTdGKiRax/v4mh/7AXzlL38Yn//Gv2dUnYE8CKUAzU4wqF7oongPY2qRmqYCkuU9hkJKRHqOLUMz8uE7P7qQWm1V/3YF7zmPw/dmTejbWtUZgGbReCbQbEX+jO2AEe3Sc+pUB2GMUU8jQ7sWGPGuRKg+OPW5VD/7cJoh8JhZ15Dxtm3FowRsitL9GxGMJw+codR+ocxC6mn+fTfBmoPBNAWOp6U/em+cYFv/XXVTuPLyE6fqBCixiaY2jpVMZbMoe+xrFacbWn74o89dhs84UilMJokGqZs7TXz6VUVrJAojDYafeNcz5tzXtuuQEnjnbhP3+xOkQuJ9b1NSzBRI3OjWjZ9bq5YLBSj+vhIQeP/bt2cy2dTUb4OCoPdf3zaiIG/0Jphmwgz2ty438frhGB5neNeVFgKtSsUZ8HXPP4PbewMImUsYdxt5hoxokGX/pooaoObkq50aXjtQ12BoXpwhZMzIVAP5b0o9cFfayn8GUtFuhFA9BEJPYB5XUsUyzpBBIvQ9NUH6XFNo8iyhajzPFxmmzxBq4ULTKXH5m5GPTEjUAqUU6XvMlGiFzANKoSuqj9vPssFbF0QXtgVGsqwYC3VqgQnAVLDBwLm6d/uTBJ4Hk3hQz2xOi+6PU12VVlRnondRJYYxlfEPPV6orNmJmDJz21ULVa6K2dOU4CiT8qfPukjl0Jb1J1Bl4tZuC7/1ykMICXz9i9exvz8w1Xuq8lNAKKQyok4ygRvdhgnYb+22ME4y3LrcNPL8RPt782iCREi859k2Pv8VRd+neYtk9t/zbNsEPy8/OIYUQC30kAiB69t19EYx4kyaOZgy8Cr5p15rBL6i3iaZTgKmpgLHuf6PMeUx5sC+De/1xiaIoudmovuzfVJNRP4sjJMMvXGCP3zHV+PDd19Cp3+Aa1/8DP7vr/k2jJNMiaHI3G7gYBSb/rt7vTEYU8+ShPIXlFDbkirmVM8D0MwdKYGIM4Rh+bzQCn2EXpElQ8FZwBX90Lb1GWtaq/28+DpQt1WjA87gVSQkaJ6yt1CBGjN9aZ16oNWYVeCsernVHjd3mvjcVw5VD6RT3bTv8Tv758eFK6vgb+iXGzwONnfOKWCSqOwtZTHpoSWvEikBwTQVT2ePeuPEVGGU3Yk0GbbDUYzeJAYHx2CayxUTxXCgFz1Kzlr1NUGqTB5NFLWhEu9oRblyIx1fCIlUSu17JJB5DC39WWhbUm6aJgLTJC7wxY+naaFnTco8w94MPTO5vnYwghRSZUmhspEPB1MwxvDywwGY/q58zvBbrzycqZpd7dQqK2uTJEOiFSjtaz+eRhjFqabvqEw++aCVgWsjznbkm/I71xXAa50Iqe5Zo8XFkd6G/Gq6jRD1cGJUwiQALxXwwNGp+Qg8bnozwFS1sxYSh18FZe2abyqn4zgr9E9Q43q3ERZoS+RvtxEV2WAZkNCIjapAyBbVadd8dGoBOpGPVAI3LzUwToV59ijh5HOGt23VEHBVUbH70gLOEfockc8LvlO0QA+c+/lpUvh6UkAUeAqw9wfTGTsXGoso+D+2emunuiJE858tz0/zkKcrN9Sj5XNmPNto26udGuJUaENtpsdPNR7SvSY0AwVAQeSE/r7UCMCgfPwAxUChpGY9UN5klxrhDCU+9Hkh8Xptu24qa542C+82wpmWADpvPfDAGfDPP/St+OzXfyf+4S/814UpiDNWqAZ6LPfupCBGMmUuzgBtgB2o71kCkZ/A40rExWOqp+9yO5pRHyW0az7iNH+vFngIRE6Npc9PlE0plUcafZ7Q4zPiP1SNa0ae6bej5Ow4KVb5Ao9jmgklSgJVBaMk9AdvXsLn7+wh4Az39ZxNlc6dZljaInCR4FbwN/TLDR4Xm2DtFDBJlVIgZRnHsfIhuXs4wsEwRiYlRKYqYcTlf/nhseahS5NFJiPs3jjRE1Q+CQxi1eOUv6cHTckQCwkppJE5FlJqg2eBvUGMB/0pGIA/0f4594+nJkv3Rk8Jfhw6zflxJtDqH+ID/+j7KHGXG2hCi2zAFH/wIf0ZOPUT6G1IxQpQAdA36Iympwc1GvpDj+MdTjadM2Zeo0HQ/jc1Ob/HxJF5BeyrsvxvAPir+t92Neo9+jv825kK5Br/p4+f0hlD+lw08Xmc5UqRMr8+qoz9u0YxT+1JP0/ocXxnqvoUX3nXh/BbH/t2JXOuj0vSxwAMhZPkpzP981Mw2o5yiWuaYN84GqMRBUag5Tw9nTZ4MkDeS1V49lf+Cb7rdz4FMODbkgxbox5YYxfvfbaDW7stXOkoyvYHdGWG7scXr23j1UdDSEhcahSDLKK2CN0PNYyVOBAlG2ixbz8TGywH11dt9v1iPwiQVwXoNyTJf85Usi7OBO7sDdE/Hmkl0NmEHZAHYQAw0lYpD/tKxOlgFBuZffIMnaYCHme4/WioetakNOPXfT3ONUJP9XIDplI2TX1zvpqvfMiakRJYIquV3VZoKkJXdM8vzZk3unVzre2I+i9RsJcAVIUxtmiQtrAWBaEuRVBK4AjWXCqVAId9P1MAE3qKg7nlVIue7dRUTzNj6E8ySKZ+Mwat5DhVichG4IFzZr4DQFVaXaEUwlZd9YLTc5iK3Avtkk6IULWN+qQpaAfs/vscVKGcpIqhczxNTUArJEqVXSFh+glpfr794Nich/oX40y1RdzeG5j3KKFThqNzTlzaFfynmZ63wdlgE6ydAqiJF1Bcas4ZQsm0dD9J7hMvXu3Tinx4XMnpZoka0JqR6gfYrgdm8CTYdCF671IjRCYkplmGNJPYaYaoBRxCNwh7DNhpRcrYFHmF5nCkaHjPdmqGeuFm4+6858O4+eU/UIEWBV1MUfqIMw+Z2wUQA8DnDBS3KKNuZj6zxxnSTP2D2Wk8aOU4Z/3IrECPNi/8WyuCEcWQ7AjIA43+trexe2G4Pjc1PhdoGvpzktKZx4BMn09KnelkivrocQYpFb+ejkVy54HHEGdAd3iEF/788/jyv/fduLnTwP3+xGQwwYC3ayns5y43zUBPn6FhqXbRgpYykvd6E4zjXH59XiPuBhcPtEheCy2vVk7ltkH3zv2jKUZJhnbUM4mAzGVu/6tPoX60j1HnEiSAXnMbjY98rXlbPcvSmCw/OJ7oBEUPj4YxhAD+TA40awDGlmJ/qHpH93Xl/5WHA6RCjV2PdNW9P0rBrQXn/jDW97XUNhqi1MT4rY6q/jUC1/MQoEQrbu8NlES7hAnEiMUBwIz7hCpVPqoktSMfnYaPJFWVpziThloPAPXQ04FRHuxlmUSGnIZHn2MUZypIo+yZE4cwxlD3PaSWyEXV9xN6HFd1MKSuhRtqnxvkNEO/IANPCTEhlchXnMlCPyYFOv5IPRuA1QtqfY+p9kRLhTQ9dEDxe+dgSKQEY8p8mlwFmqGHpqbW1UJuerRoWqsHfEYQhNAIPNPrBSiT8F2n9EMtDy9e28bl1hhxKnDvaKz6PHWS52qnZlo+KNCkIKVYWVMB3ARK5AXQPx/Tfd/WfNUbJeZ7oABQCICxxcnPq9KkNzgflFFHyxR93fnR/jf9TfvNmwNr7YujFLwoNsGag2GcYqopHi7svqyy910DxpH24gIAMBVY5ZLYykOGsmrXtuqK5y3zyhplpO4ejiob8R9ok9BpqrKX9kKr5iuqHVGObnTr+PO9QSHDlYk802dTL2x89hPfid/9+N8BoCbO0FNS34yprCU1VVMP2Jd11e49z7bNAoyknGkCurZdx//z5QdgDHjnriJe7g1UJfAjN3fMg9YOfaRSyd7Ta27GaqcZmu/LVZ987nLTVBHpe/jym30wxvDRf2vHfEbqFfiS7qX4lheu4n/7N2+AMYlOFMDnDH/3A9fBmO2nIyEkg8fVxCSk+p0//eq+uS7OgP/vbg+cAd/5gbfjH//eHfw3//S/RcRV5u3aVh2XmyESIc3E1Ix8RFrJiiZb+t6aoYd64OODN7rY3sv7SYDcNJzOu8GTA6LOnNn59GLrYBxbnovl4IxhtHUJ/9d/9dP4zJ0DcM7wj77x3WahX/c5pkyaKh1V+4milUlRYAAEnGGA1IxDSsRCTdjqpdgI64yTDCzLb+aX7vVwPElNpv6VvQEaoRpLb+8NTLZdKayywoRdNm4/rdThsv61eWiGyiLEtgOhQIySVIAWBvG5EhhJ8gqQ3bfcjgIzVoW+6kN87WCEOBV4e7dhgjubKhtwrnuulJ2KUqAUeKad+3QBygoG0Kq7U2V9Ql5ety43TdDlVvmudmqGjk9zlNSVO0p0CQlVleIMrcib8Vlz0Z8khap0MYhlJom6P1QUv5s7DXzu7iEggVu7TVNFerZTUxXDYVGCnKxddluhqSz2x54ynVbTesF6pjeKwRjDc5cb8LkKOi+3IlMpJFB1jNYnZfOEragMqOeG1jJ0X9RCjjb3caPbQKemKpk0V9k2ALutqHAOV7jETQx7jGG7kffImvf1MbqN0JyHfjuCLd9+kaw7NjgZZeJPG+TYBGsrwh0I6CbbrgvzHglj0AK8N05wOE5MH9NDozaoaJCqIpKrOZHClE0lINiTUaIXQaTEpeYYnR30i+airchXUvgipz/Uw5xiYvxcOEOWScSC5PYzjOLMmJ1yxgoD+TRVIhi0MCKKC2DRGNKsMEhPU2Eak6lJmqwGXn00NMdvR0q62+dM9eBJRXEA8snkSPdFACg0l5PwhsqASuVjxoiOUaQIkR1CZgXLjOX8TiGVUSzRY6gqAAA1j+NgGCu+fuiZyXWcKNWq/lTJUr/88BgDvdDMhGocb1oTNV37awcj5YMjhDlWphSuMZhkGMYZ9odxIYO0ERh58uGql60Cd6FKcBvco4AjlHnm/cVr2+Z5onUqtd+QwND1bh31Nzx41nUCKrnAdYUrkhyDaYoQ6tltVwQMdD5a3JFPk92f+icPjgv7dGqBFmHKIaWcUTOUUhpj7ipIebIaZFnWF3h6RAOubtUMJY4C2k4tgJBF+iot4rvNEIgTdGqBUWuz/Y7sqt5OM8T1bgOjOMXzz7TMseg+fX63bRRwSf7+7uEI4yTDVU2v3RvEMwqIkc/hMRREMOiYRGssVAVBir5qPjoaJ8ikmnvjTCDJlNVKwIBmGJRWa+1kyh+8dmj+PrL69QaTtOCF+qCvDMG7jQCjRPXu9Se5zQFdP1WV6N9UWdobqF5BT4uHkFq0ZPkaQ30fHnyPGWEOAGgEOSUSKCqCEgOo25gdZ9z1Tdk29nutyFdUzDBfZwAqcUl0fPptaL3CmRZyCdQahemqY1myGKDK2tzLyLd7iuXbn3bME39aVA3Sxbw5tF0LMDmeVRK/yHjyZ5k140q7ht3dNvb82VHBzr7afipA8aYaxZkJ0BhTJX+SdycREYaieV8r8uGDQTKGUOsHv+OSyji+99mOyYITiEPeqQVoaRNMotLRua92alppixVMljt1lQUjFS6qBl5pR3h4PDHG1HGWV3rUw6ImTN8TSEvodWkmzQRDEw/JIiszT4aAM/M9btUDRVFEnrn1ODO2AtM0z+YSPM7Md2hjmgpzrXTuNJUAk4WKBXm2pEL5mNkN47FQ10n9c43QM8qQpAxm01wuNZTZNtFdaIHainxzzYaCUjJ3kGre3iDGNMkAxowPz8EoBgOMqWqor0MCONB9GHf2h7h3NEbAuVk00YRIYgAB3wRwbzVMU4GGUynLFzB50DEvqAOK3pAuyvogt+sBmpHErd0W4lSYRZWr2urCTmwBuZHwta06OjVV6W5FD2fO5VvVAp8zQ3+jCjOQ97OcNIkv4kdYLvn/dIgG2GJYQD4u08LeXqjT77XTigDtcekGrPTdTtM8EdatB+jWg9Lf50onwiQRGExTJJmiAXucoRX5uNyKEKcCWzXfJDbNMRtB6Vxgg7G896zuexhbhuShr6qx9rVv15XfWrcRzAThLq30yApojq1nyVZxBHL2x6uPOPrjGEJKvPLwGEkmsDXs4dv+5x8GY8A36kOTXQGBs3zdQJ820yIjW78Z4J2aW/yRTFHvQ48h6O1D7OxCQq8nNIjKWbXoBYoV6EWK/YHHEXiolicFAAAgAElEQVT5/Ej0SVsEiwJiO2HLdKBP+1FbQrepqmf2qakvnoTa5lkSHDljShlNDnh6Ei0bvDWwuVMdVEn3x6lA9dJDb+c03hIf2wbXjcQ2DbIWKoqDop4wE5B1G6HJgtNagcr/JF0b+hytSHngeDw3zQw0tVLRSlQfAlXIiBaSV7emGEzVdn0dNFBlLRrFRlnS40piN83mj+IB5wBTClPGWDuTBWNpRQPlRtLeY0xl8EsmYJ8z+NYisVABtPzngJw2QZ/LKGYBCLXfjzvQe5wV6Bj2oowxZipoQ6fCGXgcmFPRkjLPknpcBYGtyEeNvPb0/uMkQywkPKjeBMHU4skYAevfgZYJR9pbjc5BHnT29R3q3yvaCIxcaAzj1CyUl+1Vm7fYGMYp4Ixf9sKSRCXoXqF79HAUm+pwJgC7PSQVyheJKNfu8xP6HCFmgzN7cV4GGmfLMqiHo7jUSFop56q/SVmwlnGMnGrzsZW4IFTR26t6/NzrA4rf6bxj29dM57hIfaRlfW25Dcjswp4+4247AibrEU241AgLgibdRm7OTr3ZpDBp31+BpvrtDacQMu8hA1CgQ9Jc3Kp5aMEzzwxV8ugcAHDjUgOhx2aSscAsrZTol4CaH+na3fczzXrZqgeGWnmj28BfvPev4Naf/iF8qLYIldFj5tkiVWLO8sCP2vSkVuuyn8PUCvCm2zvA13xtwQONMM803Yar7GmrfdrtIGWJGxKcAaCfYZXkSDIlfJYrTOdzZKYDTg5l7XGon5PUag0QKveK3jhR1GjnWuh87vNvVwnpbxoD7YrwOlHVVwVsAsUNlsfmbnFQ1bNm+6y579sDgjuAADA9a+RRxBg1YKsBlrLFjDGIOZryJIVL2wPFycHjKgiiqhigzqHoHSqrNdSBWhkooIszYRq8aWFBXmy+z4x4ypSp92wDXMMz12ba9cAz1CYbwgzSSqx4PFUcP2XGKQuVskkqdCVSzvSU2342NspeAwDoQZooLt1GqARCWF6xc/tX7H6ehvadmzfQBh7X1C8nE6wpH4NpagxmaCImZFBy1CHnhq7Z1B5CQF6c648TMM5w72iMvzgYFXoS9ocxaroqPIozjFl26kpUm4lndZAn1bKoqurEqUBdSpSF6VT1d/2JCImQulIFmPUj1H1K3pAkzOCCBCqAapW24udQxy7rL6GempRMpSy4p++NEwScFeTkB9aC0d7OxXHJdi7K9pulws8qK150uAGIHZjZlbF5sOmh7ve3SP+JsCpQVSBDajuQo6qbMnEmP7W8X46sZuYJoEg5K8DUCL0ZRcd5oP452g9AwbeT3j8cKUbKjW4djUjNh+9/+zbG3/MD+CJ+QF+3b2iVb9+uFZK1nVqAf/HyQ3PNjAGfuXMAAPifvvV95ll76V4fjAEvaP/UF69to3OvVwio3OBcyOoEBm1j9zLS80LXYlsSkdDKKE7BGEM7Gpne0TgVc9ce9Dpn0vx+VK2jsYbESLbrwTzXnYVhfz43MKUe1oa1lrG1COZB/tw/Bv7VpwAAHVKK1h+m9pG/isn3qN/6aanInydslduNwMgGjw2aOGiw6Wr/kypIWwN/DjKhFkNSqv/bGeRML7bSTOL2oyF6I5Upj/wid90GZ7kMfS3gBa4+mdySh1jgsUJwBqCgNkV/E2/eTH6aV0W0B0DRMNu6L6KjDa9p8rRVEOmYNCH6PDeAnloTwMipFFDwtdMMTRZ8qx4YSWG6hrzCkFfrAGhFMFUhbEc+OGd495U2Qo+XTugHI2okbxrPN0Kqs4TveqaNz949UkG1x/G+t3VwtVNTlA+ppKZ9ztDWldOrnRo6NUX38aBvDWtFqBYc0vq3BPkRk/rWaWIz8Tw+OFuObw+cLAXtcv9zxKhJr0A9GsXq/91GiIZ+9t2hghRVbYqvvRivB96Mv9QisNUIXVBPTeTzQrKHkl7FXiScqP7nghZhNmXrJJRtY782L3FBi4idZvhU2WlUiQLkFToFKYv3LYlz0HdD/Vd39oemX5GosCScBGDGazMRZMSuhVE8bo5tB2qN0DfqlEAeXNuJiysVvmQubNGvsuotzRHESBnGqoKUIfcCza/NQ2+UmHtaKVLmvWc2XX/emN7QCpbEutlphjMCHHZwXqUWSotdsm0oS+7Y1E+VIM5bPxgrVv0SocRcmmGR3skYCubjnqacdJuh+f7MPaTZKN1GaNYg8wRGgPx+KEtsl20PKEE2uw+T7u1F+ocPfu+3Ifb3wHefyZNcnEHsPUTtX/8u6v/pD2GnGW5k/B8Ti6jcPo3YBGsOmqGPlsXHnwd6yInGRFkZIB/E1ADLDB3vzv4Qx9NEKwiqQZ3ERO4ejswNmOl+KnvC6k9ScKYmnFGSFiSTB7o3yddUO99j8LgSumjpwayh5ZEvNUNjWE09a/f7apubO41ZnxghMU5FQYnRlQK297ENMAMtgVwPPQS68Tn0uFHJurZVx1b9EaQELps+B0UhtTOUTadp2YYdJNjN5VIq/57AY7h1uWkCOfrMJOhRkG3WUtOvPFSCBu96po2tuhI3ubpVg88ZPqh9pMpAVYWdZjijYkYT+wdvdPEvbu/D0wHnh99xCbd2Wwg8jiQT5jenz/ritW38kVan/MPXegCA69uKtvPR5y4DeAQAeO+zKptKiwBSzGJzAoF1YTPxPHmg4JDuMUpW7DRDhB5fOOixF+Pb9QBbtcDyTlPnOYkGmVdmytVuAW1I72Sv3ODAFnE6tsYBd2FLCzHqy7IXtIs8J8sG1U8SXE+2sopLWfXQXcyWfR+2sAWBxGgINAYuC9c+IMnKq2mKdcIL1TfP6em1kxHLIMuUaMYozk2jac6he3OkgzUApYmNOFMiXfQeiVkNpikmiWKgkG8cVa7+4LUD084w0vPdV3pjFYTu6STfnOCuSi2UKMicAQ2Ui5AQuo0QO60QSSbNvE0B8Y1uo1CBVr+VWn9wxsCZ8sQzPajOpQZWYpZ+s51mrga5XQ8KgbqLQKtW036Aus9dCjMhCrjZbpXAiu8+g0v/7P8w+11qhjj49r9V2tqxwWqYd99uBEbeYiijQRIdpz/JaZDUlN6fJPA5x+E476+wG/cpaABUdpAGXSnzqhUAbVpNVABWktlWAx01atuZrkOdkdsbTBFnqt9NylyEBFDCKZypxcqdfVWVo8UaDYbtyJ8RHaBt2pGPZugVJmta5NnmoLS9S3lIMolxoqiYgZco/6RJgkwoqwJSeRynGYRUmUf6DSiLNs8vhnA8SVRvjVCqXvTb3H40xMEwLnynpPxoK4iZSpRd2bQoNeQHNQ926V1ICQaGYx30K4qpxO29AY7GyncqzgT++H4fvXGCu4cjCJmraOYVyl6uBqnXH3bPmo3Qzyt+O81wIeWsDZ5uUDB0rzdGnInCooYSCENtu7Gv+9XmgTOVcKHxwp4I3YV2VcXMxqp2BWoBOv8GDzg3lGV3oflWzcxWYd534tLk+hNFEdvTfd2LSm1TldS+Z4jG6P4+3UZo7lO3d+zmTtO8R/1rFGzb27p0qJs7zRm1ygMtR+8KqCxaWbMVmgeUIEyyGVoomXcTHXLe1xX6KiWR6TnMPn4mBOJMItECWUwHOjYYA3yujkHCUiTUsizKgmsb1CsqdCWUVJzd9YNNnxw4PaSpnvuH0wwTLduaZmrePBzGGE5VQEpK0zRM7A9jE9DaazOg2LN2pBPc9v1LyXW3jy3UzKGTVGE3OD3Y/duERewX5tEgnzY7lk2w5uDRIMZ4kKJ/nNMUaFAaxSle0K8RLeN4khTohVu14lfKGEzWqB35yscF5QIjDW2e4muZevJQsas5NCHZkx5VdHbbEZJMmEyj3Yx9o9swtJ9XHw0RZ8Jkv2qagnc8TU0A5kr+AtUGqC5S3XtW9vooEfB15TDJ1HZCKJWoaZpTGZddUA3jrBBnpUJCCGGUEdV3rUVVkhScMTw4ns7QJyeJANc9YWkqkWqlhXnqU2WoBR4gAWLK+Fz5SPXGCdJUmoBdUWTG6I0SJCLP+BHt5c3+xFQKhP5sQubZWoLYTDQblICCoTibHxTZinknYR6Fr67pijbiVMxNbth0QWV5UqQquYGgjVu7LXS1ZyX1/tLzsl0P0Bsn4IwqLHK+t5o+7jICIye9Ng8XVWCEUJatXsxUmy1ciSJ/L0LNnw3gAJRWO20aKb3nBnnzsuhl+YdpKlAPPDRDv1RAZRXQvdgIPWRCmiRjI/AVtU8LhfkltLpm6BmbF18HWmU9cY+GMUKPYZIo5eJv/KpnC4ljIJ/rb3QbKzMfXANw+3opkJukik20XQ/QCD0TTEkpTWDWnyQzPW70t9AtH5PU7aOX6I2SXChkokzQhYpTcTiKc8PsivuTgmR3wR/6vDDeUAJ6M3+eL1bt33YhpEpoUwLyaempf/I/wRmBO6ISFOjQoER8+E4tVx6cOn1LAHRWrPwcPmeK8qPnPnsRYWeO3GznKw+PkQiJN45yvzSgSAnKB6wphkmKOJV4U0v97x1PMc2U3DYFC5H2ZyMFxrKeFBowR3Fm3qOK0L2jsZLyTwVGcVagzgScYSQkMM171FQ1Ma8srgqGvFLoLvLIIw5QdgpszgI10r4v7chHPfTgafpo3eeVlCdbvY6ak6FVwZVQiFQS5zXfeMx0aqpnZlv37FGwSb/hu55RpuKAEnhgAOpBXtlomwXvgl/QBm852MEQeWbd2m3hj+8rei2NYTY1cqayzxm4YHOr29TbsgjW0edY87npjWmEnuk37TZCI7iQlCSMSGCFArpG6K1NYKQK9vhdFqxdxCr4PLqRG/RPU4FpWl1lK6vULFp9JaRCMRMoUUqU1jIxAVPVsoyfy34v9/zLiMTYwZT9WpnYSMAZXnhbB1/Wz9wVx3ywHfkFpeF5xWam32uFHhhnRjXVxiK9l48DN5C7tdvCKw8HSITApUZYuL9tGmQ/Un5rsfZZ8zlDxhludOum9YBwc7dpPgf1/NGtZfesub109me3vd7oPbpH6frLvr8Nzg9u/3aVz5qLnWbu7/h6T80BT1NP/dqDtUePHuH7v//78au/+qvrPvSZoBF6iHwfSPJBwBWLKAPRFAE1mNGAH8g8aOjUgurmcjbf24hQNunZixJpyfTfOxoXmqAJvVGCSSqQZr6qZs1ZZCn1yLzSY2dZpQQGOnM11QFZpk2nAfUek8CRphfU/NzTrGzBFwUckaVfZ2fLF6VButuHVqBJgie2OEro8QKFkybLbj00mclm5MPXk+JJk/g86ohwxA+oh4DUPe0AfxhnBQGV7Xpgrlni5Ptjgw3OA43QQ00upqJXtBFYjEZn4/bewNDOaLyjZ/9wFJtnaaR71rqN0FBsaoGHWuDN7XE5D1zEQG0eqqptVVW2Mn+vk2D30KUir9bYVZvQ56V+WvMCaSFlyXvTwvu1wMNWxX3pQbEc2lby1vYxpeuj9+fNW1LKQoBGDA/btzPfNr9PUiGRSok68zQV9XSSdW5vV9WzSv2HpNpJKAscyebDFi1y10U7rajwnTJKcj/mBPhmf1KYow9HsUnu0Pfo0urCE5K0G5wvbPok/U1zwGsH6rel35TYZW95NUgpJX7+538e165dW+dhzx0UDM1TU8y3U9zpYawEP6pMZ8tQ87mp9qiqy6yqU5nJbK7c5CHOhM5cCVzbqhvDbHc/KSWubxdf++hzOyZrSRmyY2viob+JDkmB4JV2ZPyXWpEaYPcGMeo+xzufUQIDgad6BAAUfG1eOxgBUqk/Anl29IW3dWbENtonlLLd7WnSoGMFHjeLCbr2Mm+ee72xoTyShL4djM9D2YKEMvkkktJthDojrKiuN7qNE5u361aw9gSt6zZ4C+GkHpd5WIZGR+iNEyVEBMz0CfXGiRFcshUiiWJD1RybSrdONciqa6Ztn2Q1SKq2rdNnrQxupXa3FWFXp8fdfra4pO+Rqm6EbiNc+B4NfV55XxLDwVYipPHdTrx1LHEv+jf99jS/0pqiHfm43AzAtBenlEDHaqk41vc0iWDZypHLVigXQZX/Xlmwvqo4zCJgTDFhoIWy7+wPMY5Vn63r/Wb3rA1mWEXAo8F0pm+wqGrJC9uTHsA86f6nhWL3JMOmT66LSnkRsda77Jd+6ZfwLd/yLfiFX/iFdR72TPF6b4yDqcBglCvFkNqS3ddBgUFuLK2yYgOr74sCj2Ndxn/54TGOJ6r/LZMSD4+nxovr5YfHkIwhpEaMErhqXfbrnDG0az6mqcCQpQhlrqDkLg6aoQ+GnB5Ak8l2PTCDHomT0MBFvSCw9mtHKmtxo9so/A3kPkt2kEiDuU1daEYe0kzOyIjbkx4tplyZXhfu9vYk6Q7QNJCXSRLb1TflKbVakzZdQ8MyYt3RksRM0yC7jbBAxXAz/rQ9sHigRhLZI+c+PA3Mo5BsJrG3FuZVTub3EeUz6tRq+CeVxirc3GmiQ1RiXuz/ubnTNBTHnn6WypQKadFOibBVRE42OD3QuFl2/7j9bJRNrxKS2WmGa6uOrCNh5lagaI4KfY6teoA4Lcrl0/ORCNWTXgs4Au72vs1XVF0Wy/rv0edx59Oy75yCUQCIevv4wH//fXiP02Jx8KsRvkGvm4SQkJD4Ni1Ccul3Q/yDJAVDTsum59fnDC197CuZanKL9PqHM4aWEXGDee26s7q336PtZUnpUgKYAIj1e2LvoZLt3+DM4dInqSBQpvEAbNQg8fu///v40z/9U3zxi1/Eb/zGb+Cbvumb1nn4c8eiPRkuar7y6rraqaEWkMCIypxRQuxqp2YESPrTdMaPraonhDOG0OMmcxj53DT+ArPUj9jKQgO5GfbdwxHe7E8gZB742CqPAy20QuPW3kCpW91+NDQBwe1HqkmLlJxsTxwKbF87GJmM973eGFLkxqhkczBOMpM9W5QG6apH2tlHokTReYsKUXnvHQAcDmNwzpSdQiYgJKuUQL5IsD/jeeFp4olvsH6sSqUj7DRVzwoDM0bdlORZhK7sYpl+uw0uHqoolosYey8LzjEjF09zSH+SFGiaQD6v9CeJSVi6bA5AtQ4EaXmFylVUJGr9MoqcFwVGqOxjfw3TT/1m4T1pVUgyLWZG05nLLJGQJkjL/597xmZSgklAemtipLBiP70rx893n0H08b++jjNtsMEMFg7WXnrpJXzyk5/EL/7iL0IIgR/7sR/Dyy+/jDAM8RM/8RN4xzvegZ/5mZ8BAPzIj/zIExuo1QMPbeYBWT6I0kBsN6tf7dQQeHyGotep5dUpqhY9PJ4i9DhevLaNX//SfXDO4HGOa9t1hJ7a5sVr2/iD1w4BKDVCGl2omla1mLApHw0ru3Vrt2X5GOVwlddefTQ06pFEZ6DsJX2WTi0oeMkBatCNswyMMbNYos+s3i9WpOh7DH0OnzxcAn/2s0nVf0a+M5NEBZOTEm8aG9SITJ83zgR8zowAyhj5MWjbvUFsqUCq/w+TDKHHFXWSc0Q+g8eZUvVaI4SU6DsS08cOdZYqZK5aH1XPXAGZkwK106p42QuljffaBlUoE66w1f6WgQAwmGZm/9t7A5Mgsi0J3AqwLUqxCdTOBi4z5KQgw1WPJFTJ358FyDXCpUFWFWdJbdn1YnX7zRIhkExn70e7pxlQLJXQ44VenPMO2qTMnyuXhmqjFnDUwHH5P/8v8Fvf/PcgJPC/v/QGEiGUtZGU+OFPfBV+/d/cBZDP1Z/9ix4ggR/9G7fw23+m/EU/eEOZKdk2QiTs9kf3+mAM+MjNS6YaWdZaYSeU64GPG11VldmuB4YhdH27YYyyCT3dz1bWmrLBBuvGQqu2n/u5n8Ov/dqvoV5XN/Fv/uZvIo5j/PIv/zK+8IUv4Kd+6qfwsz/7s2b7T37yk6dztecMu2dtHAscy7S0L80dWONMIM4EXrrXw3CaGqn6/WFuiq28ShKzva8lfNMFpPKJs27z8edNdGWIAm5ok/PoDNuOtxsAXG5GZqHTilSvG5Wf7SDPhR3YvnE0QSqkWaT1x0rC/j3PtjHQ31WSyYWqRTUyomwoj7FRnMFjypjSrZ5FvqIi3txpmN+QFgG1Q/VZrnZqGExTdGpBoc+uCrQgcX1+bI+ZJBPGt+3u4Qi9cWJ6BV1BmDv7uUcc/brDODMSxvOyuIejPAila6GFwTJqYRs64wZnBXfMovvWrTTsD2OkmVrUSQEcjGKzoLt7ODIV/N44hs8Z7uwPzfNBzyM9b+7f8+DuP++1ebDPMY6rk05PI6p6oMpQ1V/GTqFHaxlwD+Cy6OtGiUzXLgdQdkDUQ97QvU/2fBL6yhPQvo/mBaQ03l9p12Y8BIlhcx4IfY5JkpmWj04tWOg3ouSwEh3hANT+thokgTNAalEuum/cuakd+WZ9QSrKJ/W6E4QAxkm5zkCZIFFVP9tGmGSDdWOhu/jGjRv46Z/+afzoj/4oAOBzn/scPvaxjwEAvvqrvxpf+tKXVjp5t9uA7y+mIHZWeKdQUvawZHnb+6OZ7eqNCBIS8HSflA5KOvUA8PUCXT/3oX6YO+0GgtAHAwNjDPVaCM606t9WA1GkjjGVqqH22pUO6iHHzcstQL/37qudmWvZ0wv8/YH6fxRwTBOBnXk8tEhtR+9fOhghSSS63SYQaqlUGmTcf1vo2v8ItDHprprADocl++ltSKa+2wzx8r4OjPTkdTxJIAG899oWRrGyGFgU93QW7Fq3gdBnOBqnSFKBTj1A33i25MFTwBnee+MSeqN8IA4DjmZjAAbg6164js6dA4Q+M5Ps7m577vlr7cSYe9J3TN9fa6D7Z3ZayuZB2yLcuLKlviP93cAr3ms337aN+u19ADmVo1EPwQDcevsl3D3W3jr6fn1zqG66W2+/hJ1XD8zfQH5/zL0vHFCmdrddsX1NHbOwTdlrGxRwPNH3Sqh/91oIuPd6rWKip21Lthkxjt7eENht4lBv13PWIPupNOPTMJt9jThHdM952lZke6uBmj5n4Vlwf/Ml74EBY7Njln6GAqeivbPTwqVOHZxzeBy4cbkNEEPhuV0c68/gH46QContrQYQ6H5bPfb09TbbW43C33Ph7D/3tTmwz+HP0LnVt1w1tlxELHO9u4tsZN8zdI+V3T96LjTnr7rXTmEs4pxDSok7/TyxcKCrYb0U5v6jZy6IQkRM/fatukok3nzb9uyB9VwRBh5il0Wi7zU6tuQ+6pGHnZ2W2USEPjhj5hlS3+Njfv6K8Z2ez93dNp5jHNMkM/P+rStt1AKu1kXO9vS97O62cfVIvXbpL3pIpQR0sLnTirBLz6N+tn09DHzdC9dx+1BVwz76VVcBoHBeAs2FX/fCdfPa7QfKIoDWJTutyLx2V6/z6LfZaUVmfLa3d49l/wYEEU7BmfqMR1wNpJd2Wuv5TS4CTmHe39dzlT2u0GuFe7pqP30NNO/Rb1O235M23i4UrH3DN3wDXn/9dfPvwWCAViu/QT3PQ5qm8P3lMvCHh7NB0Hnjz14/RD8Fjod5JtSudpAp9u37vcJ+A03/O7akeynDG0+VqWP/eARkpGImMZ7EOoUGIE4QaW2RKQMACR4ngODY2zvG4aHqBdvzZ9NtlI0mny9DP5iWZ3wNJUi/n4xV79nh4TDP7sVO1jiuzh6TifihvgXK9jNG42SLECcYjtV3e+zTJSkly97RyQugGRB1NUkQJ0BC2bAEQJoUt8lSZVJ9NJrJmh0PJ4g8jv39gbnmdhSAMWBvr+gHMxdT5/PTeScxLjVUDpED6PoMOz4z31tf/3+ivwdMEyArTtyxPvb+/sDcpz2933A8VZTJSZzvNyn+3ii5h8pAE2CV6tt+yTZlr21QBPWavPnoWFWO4mQms36n4meqoifffjREvRbh3qP+jC0F4d6jPl55U41hVPH49J+8aV5LM+3pBPX/TCg2QO9ohIn+Xe1nwf3Nl70HprS9fW/S/SpEQbJ7f3+AJE7V1Ummni2616eJedbSJFW7xQmQ0POoD5Jaz2e6wBjn7j/vtXmwzzHDllAfbuGx5QJgd7e99uu175mq+8edC6u2PY2xiEMpzt171DevmTVClpq/pxNVUdsbqAovshTTaYrAZ+Yz2HAFvApIivNICIFsmuH2Vw4K+4c+x+GhWovsW75iq37+qvGd1hF7PsufX3qGJjEmE2ByPJnZnubUvb1j9I7U32lK87J6NnbbkTVXO4GrPbe586z9Oa051yB25kCf5a/RM2rPk2Xbu8cq+W6Pevk9SmPn/v7gxHt7GdgtLrZ8PcnTPy7sY7oou1cr798FQJRT+9mg14ihVXZsqnBimph7jPaj32jfqdJee7ZzIQVGqgLIlX7RVquF4TD/QoUQSwdqFxWHoxgPx5kJIgLd8+Tib/wPP1i6P2PM9LZRo2uaqYCs7nv44SRDZ9jDsNPFJMm0KiBHt6FU/wKe+5EtW0JfRj7bNtaeJALTTODu4chQON0G6JN8ifqTBIyxGSldG8eWWInNrZdSLm1zcJpoRb5RkCI8DvVGyCINcjBNIQDIRw8hvvvb8MhSnXpeL+SklinOfI6/G6eABL5FV+3Cf6muI/lffXy1ntw8/XV+QquLPgw9fELftw8pkfBXPobD7/q+hU1A6bdcxCzY9Tg6T5rSeWFZyihnSs2s5nsFys8yzzFNXpGWGwdU/0yr5uNaKygVMgAUDeuOziQTXdZ+jVwqmADO+5f0GUNiNQR9+tVHeO1AVc0Ek3jl4QCP9ALo068+wpfvqyDioV40//H9fkEoCcgX18fTtPD3PLj7z3ttHuxzjJMMbEby4MkRiDgrzFc/Ph1fsUURcR8ZlwV6ne2tRn9Te8EwzNcPjAEcrJQ6u0wvXhTMPpVlfWKrWGNcJAiZj0/UCWErHbvtBvb94qpy29vZsPvFT7LnuUiYassKztiMfP062Je23clFxnnTos8KK0VY73//+/GpT30K3/zN34wvfOELeP7559d9XeeGt23V0d3i6B+PzOBZNomTD9lyJP0AACAASURBVBcDU3RIDc6YeWgyqSVdpV5Qc0V/7Le6uPueD6MV+fA5LwQuytNt+QZqIeWJCzxaTLr9A9e7dSMV7GZHFs2W9MYJfM6NzxrB3o8Wjpe0500z9LFdC5AIYeR8SQ1yXQg8Xnnt894juwOqqK2aLZq38L73vn8Ht/7ks5X7KtVQBg4GueD9QPeikMW/vYM91D/zu3jt3/8HC1/7IsbBZdscjVWmq3GCeufThGX7AedZNQC5ut0isM9Hf/cnCTrtBm52wpnFDOHmThNf6Y3BWb7Q/OCNrumt0swjeBdAe6MWcPBsPh1aIu9rG0xTTJJZQZ7S/XQShfpkq0CLwzITY7dqWQZ7wagUxe3zXfDV0DmgWjH0fBdngc/hCVnox6Y5m/rU7Dmc/n9tq17wTnOxyKKzGfoz/nE2XLuCJwlS5orbe8dT7RcrTfKa8jV2PzaNa+sQnVEKmxdgwFsCnLn2DQrr/O3LjkXjWZmw2OOe+9buLK2U7vNFr8X2tSzb7y0j3f+JT3wCv/d7v4fv+I7vgJQSP/mTP7nu6zo3NEIPke8DSVC6kJpc2oXPOT734/8LgNnmVVsNklSGXn4wAGPAd3/oBv7Jv/4LAMoEegswcvCHo9gYbytvtMVHHnuAJklhV66fBrqyAc0d6Ox9F1mwA9RgnUAbxpcOnnaWJk4F4jQ2g6OR810jpJwVJyDQpHfS4vpxsza08LZ91lqRjz//W9+D8D/5zwAUVaeMkp1eAH7dO3fxz75wDwDwz//oASSAD91QfYv/0Yffgc+/rmhrVzQn+/NfUf/+m3/5Kn79S2+av6//8N/Pb4JTxiCeNSM9D1Dj/llg0eeE4Kp/2mauy+zv/m2O6Sc49GdNYwmHoxijmMyjZUE86bzgVlIo0GSMwRKZNQIDSpRPVScpuaKSUSf/5rbFBSXIzhKbulo1yhRDLwpCn0MIOZPAC33FkBklGeJUmEoXPYM3d3LRDFucZOnzW1YTZ2VXsC7YtkD7w9iMS5lQQmIjPXfcfnCMI0fdmZ7R3jixVJ3zcS2w1DEBzFTf3O3d1/Z0T/ed/aHZj+blMgbJ3Yo2Hvu9TqYqVK/vDwvj/KIMl3mwj+POAY97bKC6gl12/HV9npMqoVXndZOg866p1j7ftckqWDhYu379On7lV34FgGqw/fEf//FTu6inDYxhoUwvYww+Z0apcFHQxEZBWy2YrebQBDLv+iggWdVzyDX5BMoXy6HHCwESBTHP6GBDBZqrVbIoQKSJkAbdeQFZ6OVqTUJKo8bpIk4Far63NjpAo+ZhUDLOq8piUbXSnpgumm1v6PNSLjkNlKtWI8tQdf+WQUr1u72VqnurIBECo0Qg8Jih6J4HTqqkiDnhDGNAzQnOhFAZ+ap0u1KfU+MPjVtXKhrjH5cGSbjSjpTvpgXONsHakwSfM4iSHyxOBQ5HsRmnqAJIQdtOU7U6rJIYcM3i4/GTVQECiiwTasOwWUuLrnn6k8SMFS7ryU7OzvQvAdqOp3giOobth+e+B5zM0nna8LgV7KqetzKUBVj0GvVllwVvtiqvy4abF+xtTdL1mkyfAZ606z11vN4b42AqMBhNLH+1fCDJJAAhTA+Cu7g5nuZy/gNtDD1NBaZQg8ZUe6iNSo5dD3heWVshMqCgbZ0l8HWVtucdqx35sBlIgccxSURl1moeXM65LZdN3zM92O0oQJwJ7A9jM6hUUSrWSb3p1iN4ncwElTvN0ExkVJWie8jOxtLZQ48XIjeic50l356CobNCnIqlqC7Hc8R1TgvLVtZck9veOFnqGP2Jmpj6k2Smr/TB8VSpOqbJjLm9DRJAIkrRS/d6uKttKzItMEK/cJoJpELg3tH4VHyuqiopbcf+o1MLVGWNKRpQIywGa57H4XkqI89Zkf3gMiHakW/2r5L4pkq8TX2rsieZh2tbddSd632SDI030O0MohgE2M+g+3z0J4mp/BLllhKJyyD0lcqzPY+V9/Sdj9+azcgpq5Bv1QM0Qx+XGiGSTKDbCM0z19RtEAejXEVaBbb5REeCRwSfs1JmE6GmkzD2a0eTtPAcb9dzJhSNA2Q7YNsrUMBdRtEre81+78BTldibO03sNMOl1lRlPrkuuo1wJpg/KwrsSRTMerD4vehSF+3XAJWUW6SlJfT5TMLYTdi3aj4mc2waLio2wZqD3ijGg1GK0TjnRQMqeJJSu9ZzZh44MoMmDOPMBGLjJIPPmRnI3+xPMExSeIwVsgd0KzdDH6HPSwVNnlaQzwphtxWtNbtPtFA6l5sps38Hu0GbPFLo/WW8yVYB0SXdyYeysYAK1iSUgESqaTjbNR+JkGiGvqoy6Alqux4U/lafi6FTm/XLOwll258HxXGV3sGzzoQuez66H+39FjlGWS8kLUCaoYdW5FcGEZ1aMBPkdGqBqTLZ8+sMZY/hXEULKLMupRInGsWZoU89OJ6aCjl9t7cfDc0C2lXHHExTM5Y3w+oqrDt+0LGqhEkItqLwW9Fn7WlCPVDsk7Lni16bR8H2PQ7fW31cilNxYtLwLEVFyBuREp5ViRy6LmLh7DRD8311IjWPBZZ0P81tkc9VNZIBTEdr5FO6LGicKKue2WwWrnuuaTt7e+q3LwtMCfZ7UkgIKdEfFVUxF8GMwnfJOezrOqsE6r2jsakku9fj9kkveq9XVdYI3QVsUuJUbCprbwVsN0IIz8fAm20cH8UZOFOLZlrUuAuekyZ8AMikNNkSnzPTt9YsUSF82uGacFdlqU6Cm7F65jBCnIpCoEUZzXkZlyo61llD6h4eU4XVr9uTVBR4OM3WDinLB7yqKtBJA+UqWLVytSpcOfyTsKhqqrs9LeLb0awS67LnJgzjDPBS9H3Mraz1J0khqUSv0d+04KLRiDMGzlQme1t7Rbmwe85OI7tPyYrjaYpM5LJOVaeRltG2rexLn3MUexjHSpX3ZKGQ2fkAWF5gZOKML4yhRB1yg4uKRuij5sQJiwpR7TRCcL76PEf3ES3Kz1NExA4ObFGkeWbQ9mv0XNJYVybwQ3NbK/KRCmlMsTu1YO2VfRtDq+e6kNzlHEKuT21xUZzUW2+/F59RvyIF5hcZQipF4ESImTm10arhbfUnK/x5sq72AuBx789m4AMMuNKpgQG41xvD40yVsmu+ySxdJMyTUF7lOGULOAoIpARu7w1WPn5ZZscNNogaWbWYtI9DHh4uzWAVUBayP05wNEkLjcx0ThIY8RhDJmVB+YruvWmqfKfuHo4KGXsApqpw93BU+PvdOrv30Nm+ClUByyIy548bMC16vnVsX7b/MnS/smoweQaWwZWVboZeodqzDNz99ocxRhmALJ3pgbRBzwklJ97sT8w9I0SRdiSkun+OtWekS9N2kxzrzu5LqYI1AeDO/ghHkwRSSmRSsRQmiYAUwKuPhnigVb7SVCKVsvQ3pPs68DhGcQqPM/Qny33v1NsbLjBmj+MMAur5G0zSQrnS29AgHxvzZf7XnzRoBByjeHYBOG/uLmzHMNPb/aSCArTTtBgC1PcaeMYvG9v1wIwtbnXTDpbrFrOEQP2lVTRIYrfY79FccFoy9ifZvlR9x6etBlkGmjvspIObLF+1heYkWqmLsvOM4syMz1LOVuSe6dSADQ3yycafPRzgtf4U02kyW2HRpXfBJF7TsofugsRetND/+2bRPMYwUb1FvVEMjyvZ/0yoig95lZ1GT8iqWGelqWwBRwP3aZTwq47JGVtokUXiK6ssPm3RkmmSIREq+JqkirZlT+L0Ny2um6E304Nm6LKRhzRT0tFuJdeexOy/acFSCxZvkq7azq2alW1LMtbrwLKUisc16FzH+eyGZxeU8SNc7dRMgFnVO1UGd79hnKFZj3C16c+trF3t1GZ61q52aqZnzeMAGMCFZSGhK2vN0DPWJYTTVO/zOTOZdSaB3Vaoab+qHhX5Hmo+V36W9n4+g7eg50WWyaVtQyjgSxYM1ug+EJAXTy3oCUa1OM36KYHdRohWTeLFa9sLbW9T6e3+tacV81RdCe6cLC0vNXqm9gdTDHTCjPbPVI4Sf3y/b3wVX354bB2nqGpLa7Q/eC03DqfxjZKczdAz4+D9/sSwnICiByMluyiZ2op8857dG2/2naSmt/DdmfJD++P7fbQjf2a8JppjGa22qi+27L1V+mhXAX1mex3gnnvZayk7pvvdVrF87PO4+7lz8HCaYusJeww3wZqDTs1HN5UYcxgVPhvcLBDUL+1OBLVSnjozBriBx+FzZgV0ahFy72iMh4NYZ6wl6hfEZPy0JZQbgYdG4FX6aCyKRTI523sn0y3t46yaHXIXEETp6DZCPJMCNQgTzHQboeGm25OBDYl8fXevpwaiz7/eM3+nQiIT0lQVPv3qvmmA//Sr+/jbaQYhJX7n9qO19N+NnWfDzhafRp8fnW/RrPSy29uwZd1dmvM80GRub1/2GmF/qKw6qJozirOVr9nd735/giiKsRd55j13LNsbxGYxQxnIeuDhdX0/SamTAyVKhQ0thHRWUGMm4Hvquq52aug2AnCoSbgRerjcipAKiecu55LooZer47qgZzPyOUaB6gFddlFvH+MkHHv5Au1Bf6oWD1rRT+LiJOeeRJy1zL/vcawab7Ui/4kTlHGDr6pq5bLJXbdnHQAggcNhbHzWCsfTYlq0DyU3A48hcZI1sbMNkI+DNtOAxshpkgEsp0oPpukMbbrMZ7GMCTHSXo/H0xRCSiMCVrZ9Ve/rsu8t00f7OHAZPfa5Hw2mSIQsJJ4XAQXN9vdDr7nnsFF2npP2C+shXthd3T7jPHAxIoILhK96toO/BGWK7d7wAWcItf8ZLQrcG7EV+TNN7ISbOw2MdIaVFlYHwxhgKCgP+R5f+Abf4GLCXUC0tdrVPFRVAX2uJiJS55skii9+rzfGo2GsM5MpIGG8aV47GOFonP+dCgkpJd7sT5ame5XBtXewq5RD08S9vgljGcrZItt7jMEv8TJ0K2GLLuDLFu5Vi3n6bug6o1Fsti9LEi1ybtrveJpiKgFk2UyV3wb9TrTwIe81QGd7oRv6mUODBFtJrXZVUPCsJPzV56NAkrLyZWID7ZqPupClwa8d4NaC2SA58NiJFZCqYNzFcKrG/d1WaMb8e32VEeabnjWDRSj356V2SAg8hjiTCwtF2NWAwTRF4PGV2wronGf1HZQFX1StLBtTqgJnSnjSZ9hphrjaqQFQIkCAUoNMM4lbV9q4++AIgHrOpFRjuYTEu55p44tv9AEAt/Q6rKx6Q9/x+6/nFVBaV9F5O7Vgpgpzc0clUa9t1dGK1HuqyieNMq3NfqBj2bCrZ5wxCEi0Iv9EZdp5WPa9ZdkZy2Jgfb7AU6IxNlNIyHx+WfZayr7PqvcWYaS4+12+qCaOFdgEaw4ORvGMdD+haXmkVCk2un0iNKjRDW4vdKjSZvOjW1oV8q0CIddj4rjIMaqMHk8Tgc7yH47ynjXXcBNQ947tt9aORoZCqZlp2KoHEFLi2nYdHmfIhER/ou8X/dnecamB3jg2f/ucQZiqxHoqa1IC01Rdp11RPhqra9laoxIjBSJlletlt6eAbN4ift7nWgT29pmQKymWnSd8riXx9e3kedSrkdMggdWsRVZF4HMEUIs1ISXakY9LzdAsVuuBZwLiZpj/TfdfWeLLzsa6mVmiU53kn0YLuEWrjAFXx2yGvmJbIKeYbrB4VeYs1Q7LoBgyculxtNsI1ya6tCiN/3FRFXw9jvk29W/T9zGKM0jka6b9wdQswtNMVdikwx2WsrqCVGacPYwzBCVJupMQcD63//itDClVso/mUilh7Ic2WC82wZqDSZJhMM0KEvw26HF1aWA23NJ5WTnecLSFgJBMCUJoDxAACFJeENtIhZzpE3kaEPrKV20dk9gix+hPEoR+dWbzNLKWWzXl69ZthBiBAWlSaii9XQswzUTh/iLfKMZVpaPMxLemK2x0r+22QjRC3/xNIgbb9XBhal8VqNqRewTmx5yU0Plowl0WmRBIMrl032TV9lUVLAqwqipSVce0tz+eqmrntGRh6Va1+pYZ/TRdbhHm7pekAuACU5Zfj1sJnabCnJt6vaap8lLjTAUSnKtAzXeehZa2iThLZJmq7AlI870CeWWNPucwzv+uSqiNSuhM7r9PUnmMU7FwME7P89EkxTBOwTkzS09dvHzL46zpjKsi8jkiLE+Nt61gzlPFcZ1YpRJaxiKhvlRAPdMv3e3hzr5KZlJ/Gr3/8sNj9MYJhJRmm7I5jfajqh2gKHrMCnTtvjTqL7cpfmV0PwKND1UURfr8i9Agy7Dse+u0PaoCffb7uu3ieJoaQS133HSvKeAMUUkStOz7dI910ne96H6jOAU2apBPNp7/tX+K933mdyGERCaLjeCMAdHRPqbbO2awXYQGSYMALa4DzgxdrRmo1DUt3Es53NAGkLWn7+e61AiNeS2wnj6nxz3GaWRuG6GHBpS3DKIADcjSPr1RkiFOc6WxF69tmz4231O3I11b27rXklR50tAk1Ip8RRuRijsuoCbBSZqdyUI74Mzp31KiFcuee5wUK6GPU+la9D174fA4PXJRRe+eq8T4bKe2tp61w1GMdiNCJ+QziSOCfc/RNdj9Xm/0Jup70FQCmwbZDP0zyeoT2lGA42kCzhm4VNW93VYEjzEIBlxqBGaMpcrasmkBKWeTbKeFhq6seVBBGsOmZ22DJw+rVkJtFcm8v1mtf47GEUZxhk4994EknzVbndbjDB7YjHH2DGQxGdOfpGtV45RSnhgsSKmS/MM5SaCqpNCy7y1iI7IOrOoFLKVEInCqdkNPK56+1f9jolMLIH0OkakMu4Q0/QScAXJnF/iarzVc6evbjcJiksQigNlKz0efu2zk2oknTcbZH7zRNRmqMlnUpxVuNnUdGcdFjnFRM5skuAJgpsfNY4o+Qu8dT3Np9kTIQmVtME0BKZEIlfkU+l5eth/qJJQdb5IITAB4trfUkjTGquOfJhStQxoa5KIou05ayJQt/um90ONGJIOwauWT9hsnHvySYMqmd6o+kGoKXyolhJC6Zy1/fctSGj0LXGmHeKYVIvQ8SH0hUaDpmlBjCF2PGk+ULxN9H1X9v0p1lZVWfddRgS47Zi3gCLVIBQOeSsbE0w4h5MI2M7YVzMEoBmdsDT1r50Pnt7HuSqiQ6vkIPI7tRmDaTmwWB3MeU5VYKz+ezxhSJ20jhMQozowAxTDOzG9B1Rf7t3F/p1Hsmf2OxglSITFOZi/A9nHMdGVNeaZ6hffcbauOs8h7VduvE3QfjhNv7jUQyt4rC5jpmHYg6La2lAWJZcc8ab+tdh23tub3xl1EbII1B298+3+M8bd/L/rHoxllPruBkd4DitUwW66bqiN0oxyOchNIysZEvnfug+4GZw/q03P79e4ejpAJ4PXeCImQeKM/xisP1aIgFWrBfTROkGkKSC5rrJILtk3EOFWSwZMkg4TUi/X18u7LjjdJMqRSFqh3ywqEuPsR1iEwUvVelklkkAUfrkVQtn2SKt37KnGPwOMIOQcwXkpd0Ia7X3+SIoozRCzvzyO1UPtaBnEGD8rPD0yNU+Z9pvLYAhIcDEJnDgLOsVUPShUWTws0vvoeQyoVrWkUZ3hRJyjuHo4N5enO/mjuAsvGIougdcINjONMGKrpBk8W6oGHUZwtTN23e6ZIYGTVHm0K0ri2lHlaEHBFA7erzNQnRm0AHuMQkNgb5EJIVSJWaUnFbZoKpFIWgo0j0zenjnVk/a5Hzm9MSblx4lUmEu33FEErT5S6+y16HBfL9Mtu8ORjE6w5aIQeIt8HkmBGZcZWHKL36DWbusiWGEg5A+pP0aC7wcmIAm4mW5e73wx9DOMUoc8RQt17VI3yuDYH1nQwGx5n8LhSOJRSDfKiih5yigh9Dj5HCv1xKzJL7b/Cx/c8Ra8hLBtcutv7cyi1ccYL209TsXIgXbUfswys7QpOLfDMuT2p7ptG6KEd+Vp8Rb2XZar8wxkDYwzXt+vYaYZnVlkTUgXOQgI1j2MqxcxneRLAWK6gSdVU3z9boZYN1oPdVoQkE7i5s5j0t21lsg5bk3V6n14UtCIP44SbdVVvlMwIengkB0uQ1YkVWpPZ25QFcICaV+3eXUDNoe73bPcmV/U12+8JqaRR+pO0dL+pzsKWBZ4nJTl9Pe+75z3t8XmaFBORdlDpskZsVAWfZUyUqmO91bAJ1hw0Qg9+PQTixGTEiOpYNsDSgF02CNNCnOg0thoUDUoXgc5wUbBIs/JJ+19EZTUhpfnd94cxEJFKneLu26D7p1NTdNmbO0282Z9ASCgaGCS69QCpkNhtzd6P/XGKOBOoaU8/QC3MGRSHJPL50lTERVB2zFqJ6Miy53al9BftN6gSNFnkWtahPrnIMWhSrQXeY1NFab9JkqFVjxBYnKEyXzx7QqcJn4I7jzETpAWcmeDoucvNE1US1wValFJlrREpCiFR0Ekd8j3Pts0+L7ytY8Zb6hEuk3Suknte1Zx8GQSc4bOvqedyIzDyZKEeeKj552etQwHARZzrVsXVrToOR7EZw7YbgRlnaMxvaFrkbitEpxYgzcptOQg0/9nbhNacSO9leq7wPQZIW7BJmL89phkIFlzWx7z3JFBoUXD3SzMBBgZvhVsqdRSHq65pnYiFgM+0X7DD2LEDTM/yFAbKhbgIZeIh9FqoVdOB2fVhWcB4km1Qbw3q42eNTbDm4NEgxniQFmiQgHrwq5zVKbAr22bfUHSG5jVSGVL+IYrDfpH46GeNdWQLz1vSuQzr+FxEBwk4gwQzHiHveqZtfGDybRniTBixCCmBG926ku4Hw7Xt+lo9/MoMKRd9bVHYssnrCBSIglx1rEW2cbd3n9uqzzxohGAsf88WJlr2M7r7DaYpWo0akM2apdI12UqihCvtyFC2az5XFVyu7imuP9hZBWp0rlaUe+RcaoZIU2nM5JUdBcO1rboZT290G2aCJ+/K7RILCRqnl31vHTALEM5z0/G32Hj/JKPKE/OscBHnusfBjW4DN7oNs+b6yK3LQJxAWCqK7dBHJnK/snkJS8L9vo85+boCiGbZCHwkQpiATs3d+d+EZbw4I5+b57uqOoYTfs9lf+vTvjeo0kXWQWdxDakoV4Uue61M/bjw7zPuhV8HNsGagzIaZJnhYhmEnOWnA0W/D5dn3Ay9mYf4aeOjL4InRbZ5WdDnov60VRAFHBE4Ap+XUvukZUApAXN/qcDNVoOUK6s4zUPZ8RZ9bXHkNhrrULta5FjLni/JlMWAjZP6ogKPFc6z6md09xvFGYYZgGxWnt6usI3itDAWDabpTAWuEfgFms15QUgYjXsKplq6F+Q0IOViViCrgOYF7jHjX7fBkwMSgVpFur/s77c67L5tGsP2jqcYxRniLJeCD/1cG4Bo/1XJo07NxzQVBaEgCiDsah2B1LbJn3GnGRpLHHpEbaXgKiaE/R5nqnre0cd3qYqLUBcvWrAGqO+iTMhq0e9lHsr8WW0GyjqOubUG1fGzxiZYc1BGgyzLsLrvlWXbKNjbrqss+o1uA71xUgjOyAF+M3g/3VglGyt0I7Qy39XiF1LitYPcW6Y/TpAILSJimYSOkwwHw1hnozJkQqDVP8Tf/B//4Vq538QMsY+56GuPe55Vscix1nG+qmO4rROMrX5Odz+1uLCFrvNt6BXOZq/B4wwf0eqP1L+hetUAMeyB7z6z3IWtCfTshD6HJ6QZc7lOWT/TjkyFstsIDX2RtqvqDyp777QrJ7TA9Dmb8bDb4MkAmTovAltM5GmjL64KankgqxqCbYpdoBJKqZJGjBf6uKuoysRAuWVZktDxb+40zP4u/Y6qdVc7tRnf00XZIkNLbZdYCde264VroEDR/beNqvfKsOz2p4HH/Txla+Gy4PpxjrkOi6izxiZYWxNsyXUCDcyDaYqAc9zabZkB/tFQ0XYWrdpt8GTD9pZBLQSmSWWAPoxTxKky0e7WQ0wzgSBg8LJ8oh/FmenLsuXHSTFypCeYaSrw8vMfwjtf/kO14xqLEcbY1zqmCR5Q/dpS53nM/Zc91jrOt9QxbEvHJX+fVfcD1LXRkohsJW15bI+rYI3vPoPo4399+ROsAfTstCIfQshCZQ0AHh5PsTdQGfBPv/rIGOW6ar42VqWcrgP3+1MlQuVtqmpPIh4nmH/a6IurwG4NsNdNti3Nnb28ZYQk8idpBkj1XB9p1W3b8NrFvd545rX7/QmkLMq9098PNZWaguu9QWx6n5ftSc5EzrTINIWfrmeZytqygiFnJTCy6jVUvTdJxEyiktQ4bRXO2f1m33NVPF2sqsZ6ntgEaw6aoY9WKwKmiVkUlEXhJNFfBc6YqaIlQhT60lze8wZvLZwkpmIvBto1H1EqUPM8pExlGLNMYpxkM+pKocdLm4x/5+N/B//vR/8DAOsdyEmpr3DtZQpWmsK26rnXOQmd1ENoU10e53wnXbPN97cXMMuek8YSe9HQaUZI4jxjTAsSul+6jdC8RhPbs52aGZ/uHo4QcI5/+/oWtusBvvODN5a6ptNAK/QxiItZcO9gD9d/+O/jW1MBCQmfM7yov1OP5aIpLtZZqV0WmSpe4uOJNqgfHgGXd8/+QjZYCYXE2xLYsGcU3JYHIdVcFqcCdd/D2PG4DLQnYSZUhW1vEGMcZ0iFLA3ICI9K5tfeOIGwbGXscbc3JipmCsji/qXWLAvau2QC6AwO8R/+zH+pX6EJk835t42q98qw7PangVU/j1okFBk5xe2rxmv7LeFkMF2Lg4MPfBT48f9u/sEuIDbBmoNW5GO3HQGTPLAqG2TtyscqYGxxD6cN1otlVCfXSVuh80aMn5j5cftllHEyRyIktms+EiGx0wy1uTFU1hFFlatopKoN9TBXCbS3OS0QJdP92gLO4K14z6/z2pNMzG2Kdq/7cc63qurkKucMPAbfMu0KQhYtmAAAEQFJREFUPI6TOq5qvmfol4yh0KxP9/27rrTRrV+MRealZoBLzQAfvNEFAAy//hOY/va/BH1bErnADgDz3Ja13NHPfx7teJQI4FpxE5d3gY/9tbO/kA1WxnnNIU8bKFiiAPjZrQhSAjd3m0CiRrBMqGBuux4gk0pUZDBR9H+iFs6DlMVk+zQVkBLGJ9JW4U2FhJASjcBD6ljPlCXSFk2u3X73h/D8y38I2kpS4DHn34Xrr3ivDMtufxo48fPMkb+VsmyPYpBW9bnsR4yDVDjLr+Ui9GEvi02w5uDB8QT7qcTh4RB3D0dzt1uk+Zy2KVN3bEfBprJ2DlhWnXFdtBX7vK3IXyjIpwVlPfBQDzx06iEyIfFMpwYpJa60I0wTgUSIGVGKZugZgRH3PltU/n5V2JTMi4jA45j3FVT5wFxkJJlEYgmKwMsKYiEUkG3VA3DGTGAWcI7eJEHAmVFdBNQ90ok8vHht+8w+w7Jo/uAPofmDPwQA+KM3jhCnyvvqz+/3kWTCUMzPQ/GxCjSv/PqX7iP0OH70658/82vYYHWc1xzyNMKtsl1qhDMU0+16gO16gN1WiCSTuNqpmfnO7kdzQfOQrXxLr1F/UzP0zLEoSUbJ+XUpHB981/fiM/jeufud1Pu2yDlW3f40UHUN01QUrAZslPWejeIMAWdKXG3OMauugY7pqoa+7x07Cx3nImETrDn4yuEY/b0xjodjIwdd5v+wjPz3670xAs7w0r2eCdyEVIM+Zbc3OBucl+qkfV6q3FbBXRDQ/ZJmEoHHQOtwUoosO58teQ9cjIF8VZzVtQ91pZICncdp1KYAqeqaaZvHke4vQ7tZx/HQtXXgqAUczdAvsAUoeCBJfCC/3y4KhJTmt7m9N5h5/9Eg7zdJzshr6HFBBuQbPFl4WpWLLwK26oEyXC5BPfDgcVs0SZauzQhlCcPA5whQtEwhkGpv2XsAVlZz3iBH5HOc9OjY82Uj4AUK46pzo7vfeQqwrIpNsOagHnhAwIE0MSp8ZWiGaqJdxDjVrmRwTX+kBcXxNEHgcewP4w1dYgMDe0FAgVu3HiDOJC7pqhz5SAFFywigXLiGtnkSRW3O6trHSYYkE2szRg48fmIlM/Q5GoG31mpPt9vE4eHqx9mqBRcmWDPm2CdUbElu/1h73tFv6D4bQPV7pw0SPpmmApHPN+P+BhtobNcDTPzZYE1o8SOJXGAkFXKmF8lGGU2VXqPAzLZMOdRtA7b4CIGERmysSs1393tcqXt3+/PWQ1i193refnYP+TLfg31M916IaiFubdVm9rvI2ARrDi63Qvj1CId+HlTNWyDSImseaPFFGXM7c03vRT63eivYWkyUN3i6QIHbTjNEnIkZafIyrPreRcdpXzsd/zxpcmeNVuSDM4ZuIyx87ovi9Uj3/yVdDby125rZhhT6uo1wRq1vHg3yvIIkChS36gFCn21ochtsoHGpEWKaCuy0IhySLZIWzXq2XcM4zQp0bftvF1Shsbdphl4hmLEZDWUUySpQpX/ZIeQ0pfuTdDaoPGuUBbuPu9+qxyS4+5123/5pYBOsORjFGTIRozdOTqTTxKmolPClrG098OHx+d4OoV/0WZumT56s6Aanj2bkw98E8husGbZqbacWgLOL60Mzz9/KHoddG5Xz8FKrAs0LO80Qgcc2KoEbbKBBiZnddoT9RgihqU0NeLi2XYOQxaS3/fc82NvYrCZAjXf0PBJVjpKhJ7E4iIWxLFzWRhWLY10Mj7PEqtdMge86WEG0PR3TvU/+0tu2gWQ+hfYi4sm5A84Itik2YR3ZdbdPZIMNlkUr9BH5eaV3WbNfYMO736AccSaM+u1Fqai5cHswHwekPnceMD5xkYeAX8zveoMNzhsuyyjwOCaJwN3DEd7UfmlVPWtlmgOqtUVipPvibIERt4p1Wv3RVJF7wKal57VxEUyul8XjXHPA///27ic2qqqN4/hv/tApMAVetJIQg7Eq8V+MAULSBMGNogluiEY0GU3cgGLwL4JjqhgnRtCN1sQoCSEBFxp14cb4J8bUqrAgFlNjNBpDYkWD2Ph2RujM9J53AXfe6TAznc69c+fc6fezKu1t54Q+vXOfc57znEjV9x+310O933e5bNl11e6xC5LdWj4/XOlPuEYbgGU93ert7dGpeKQ0g9tskuV+fxgP4IN9uudF1a1oafKgXlxW+1onlNgGveLTjhUmP17zovNnRTbzurbGSfe8qBKmdnLjmHP32kY69bZTZcUFgAtVNnLp6Y5r4uz5ksUZtqiUK9/bXW1Psvux26OgvESyFWpNOtVLDsPYFMzPMUcj1ZOuRhQc54Ik7998USJZC7fsZFGamJx2gHWz3O93Hx7Ky3fq/Ww2nMOL2ZwBFBZuy/mgV6fbsRrux2s20nG03uvaWIpdWcJUrp1ljc2KRaUFXbwFA41Y1tOtZT3nPv7P+RLJmZ6TjJleGVVtT7L7cWVZY1CNuOqV+IWxKZgNY56p4VpvT7iai0gka1ZiwzlqcUz95D+MD62NCrI8rx2r4UzS1OeeN1gtmS3/XOVEha3l57avAAK2amT1f7bvhe79xRV0c6lOawpm05grx7IwEWfPWtjl8kVNZid9Kaepdhh2pXatGCB83Jr9sX/OyJjps0dh3IhsM/dvN+gH6q5Y1JdE8XTRaHw819C11e5T7hjc+5MtGlk1tr3svJH3BQC1zeasu2rPVuVbXGrdT4J6Jqu33cbrVpx2sGHMM03Y9S6Zr1OnJoIckmc82bVQNDLzagCraGhUbzKh7GRR3YXOXT2zhXseYtDyU47yZ3z43XbNbrKpKx6VypIcN6Gw6f7UFTs3mz5TMmb7itV/zxbUFYu2/TwkICyaKe2vd58Y/zc/bY/ruWYlM59V2gqdVgbp3tfaOWlW+R5QOZbivHjokp+wjbfl/Gww4nIfrGcq3wHq6U0m1JtMVC0BcW9GtrZcR7Auuiip03FvmUAiHm3ZJvtmLFkwr3SW2mzY+jeRn3Ks7bwJ2MJLwyM3Iav0b35K+fP70yqbjgSt3uu2a0xetWOis1zlnrVKucmiFofs1mvPOzGAhtQrASH5h9RcgxHbue32G4lxxxj9Y/kKm3umHYDaZlPyWK5eklfteLbKpC6oSZ56E61MwjZnpt/lssXdOjtxNsgheUayBgDoGLYePVCpkTJ5AM1pNslz2dR5mElYbyr//3q655GsAQDQLpUPaTzoAADCjGStQvk5a7TShm1qbbQmVjEXzKbRgK1dIW3ttAmgPWrd12y9h9lupv+37h67S+SroQajDps6oQGJeLTmwx2xik5XL/7DiL9ZAJ12X0NrsLJWIZmId+TmfISf1xp8IMyaiX/HmNYMxgPO1gTgauS+xr3CG/asAQBgIVsbjbCiBtjJti6ylEE2pxPLIEnWAAAdh5VoAI2ydXIHkEjWAAAAMIfZ3EXWprGEUSeUQVKLAQAAAAAWYmUNAAAAQEeot/8wjHvWWFkDAAAAEHqdeBwCK2sVyg/F9otjpGhnxQ0AAABglZn2H4ZxzxrJWgCiEamLVs0AAABAIBxjLlh8CWMZJMlaBQ7FBgAAAMKrk45jIFkDAAAA0DFqnbVJGWQHaMWetWqnqTvGdNwGSAAAAAD+YSNVm0QjESXYxwYAAACgBlbWArB4/jxFIxFOoQcAAADQMJZ2AsAqGgAAAIDZYmWtAt0gAQAAANiA5R4AAAAAsBArawAAAICqH6TcrnHQNRwSK2sAAACAEvGoNQkS/Q7gYmUNAAAAc16tg5SBdvI1WRsdHdXhw4dljNHOnTt18cUX+/njAQAAAGDO8HV9dXJyUul0Whs2bNDIyIifPxoAAAAA5hRfk7XVq1frl19+0YEDB3T11Vf7+aMBAAAAYE7xNVn77rvvdN1112n//v06ePCgnz8aAAAAAOaUhpO148ePK5VKSZIcx9Gzzz6ru+++W6lUSidOnJAk5XI5pdNp7du3T5s2bWrNiAEAAABgDmiowcj+/fv14Ycfav78+ZKkzz77TPl8Xu+8845GRkb00ksv6Y033lB/f7/6+/tbOmAAAAAAmAsaStZWrFihwcFBPfXUU5KkY8eO6aabbpIk3XjjjRodHW3qxXt7e5r6viDYPDaEH/GFViPG0ErEF1qJ+EIrhS2+GiqD3Lhxo+Lx/+d12WxWyWSy9O9YLKZisej/6AAAAABgjmqqwUgymVQulyv923GcackcAAAAAMCbppK1VatWaWhoSJI0MjKilStX+jooAAAAAJjrmloOu+WWW/TVV19py5YtMsboxRdf9HtcAAAAADCnRYwxpt2DAAAAAABM5+uh2AAAAAAAf9AVpIzjONqzZ49+/PFHdXV1KZPJ6LLLLmv3sGCZQqGgdDqtsbEx5fN5Pfjgg7ryyiu1e/duRSIRXXXVVXruuecUjUb1+uuv64svvlA8Hlc6ndYNN9ygEydOeL4Wne/06dPavHmzDhw4oHg8TnzBV2+++aY+//xzFQoF3XPPPVq7di0xBl8UCgXt3r1bY2NjikajeuGFF7iHwRfHjx/XK6+8okOHDvkSJ16vDYxByccff2x27dpljDHm22+/Ndu2bWvziGCj9957z2QyGWOMMePj42bDhg1m69at5siRI8YYYwYGBswnn3xiRkdHTSqVMo7jmLGxMbN582ZjjPF8LTpfPp83Dz30kLn11lvNzz//THzBV0eOHDFbt241U1NTJpvNmtdee40Yg28+/fRTs2PHDmOMMcPDw+bhhx8mvuDZW2+9ZTZt2mTuuusuY4z3OPHj2qAw/VDGr8O+0dluu+02PfLII5IkY4xisZi+//57rV27VpK0fv16ff311zp27JjWrVunSCSi5cuXa2pqSn///bfna9H59u7dqy1btuiSSy6RJOILvhoeHtbKlSu1fft2bdu2TTfffDMxBt9cfvnlmpqakuM4ymazisfjxBc8W7FihQYHB0v/DjKmal0bFJK1Mhz2jUYsXLhQyWRS2WxWO3bs0KOPPipjjCKRSOnrExMTF8ST+3mv16KzffDBB1q6dGlp4kgS8QVfjY+Pa3R0VK+++qqef/55Pfnkk8QYfLNgwQKNjY3p9ttv18DAgFKpFPEFzzZu3DjtTOcgY6rWtUFhz1oZDvtGo06ePKnt27fr3nvv1R133KGXX3659LVcLqdFixZdEE+5XE49PT3T6umbuRad7f3331ckEtE333yjH374Qbt27Zo2g0d8waslS5aor69PXV1d6uvrUyKR0B9//FH6OjEGLw4ePKh169bpiSee0MmTJ3X//ferUCiUvk58wQ9e48SPa4PCyloZDvtGI/766y898MAD2rlzp+68805J0rXXXqujR49KkoaGhrRmzRqtWrVKw8PDchxHv//+uxzH0dKlSz1fi8729ttv6/Dhwzp06JCuueYa7d27V+vXrye+4JvVq1fryy+/lDFGf/75p86cOaP+/n5iDL5YtGhR6UF28eLFKhaLvEfCd0HGVK1rg8I5a2XcbpA//fRT6bDvK664ot3DgmUymYw++ugj9fX1lT73zDPPKJPJqFAoqK+vT5lMRrFYTIODgxoaGpLjOHr66ae1Zs0a/frrrxoYGPB0LeaGVCqlPXv2KBqNeo4Z4gvl9u3bp6NHj8oYo8cee0yXXnopMQZf5HI5pdNpnTp1SoVCQffdd5+uv/564gue/fbbb3r88cf17rvv+hInXq8NCskaAAAAAFiIMkgAAAAAsBDJGgAAAABYiGQNAAAAACxEsgYAAAAAFiJZAwAAAAALkawBAAAAgIVI1gAAAADAQiRrAAAAAGCh/wEhF2B66zqZGAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 9;\n", " var nbb_unformatted_code = \"for p in paths:\\n p.rescale(2 * N0).draw(\\n color=\\\"tab:blue\\\", alpha=0.1\\n ) # divide by the mutation rate used in the simulation, convert to haploid\\ntruth.draw(color=\\\"tab:red\\\")\\nplt.yscale(\\\"log\\\")\\n# plt.ylim(0, 1e4)\";\n", " var nbb_formatted_code = \"for p in paths:\\n p.rescale(2 * N0).draw(\\n color=\\\"tab:blue\\\", alpha=0.1\\n ) # divide by the mutation rate used in the simulation, convert to haploid\\ntruth.draw(color=\\\"tab:red\\\")\\nplt.yscale(\\\"log\\\")\\n# plt.ylim(0, 1e4)\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for p in paths:\n", " p.rescale(2 * N0).draw(\n", " color=\"tab:blue\", alpha=0.1\n", " ) # divide by the mutation rate used in the simulation, convert to haploid\n", "truth.draw(color=\"tab:red\")\n", "plt.yscale(\"log\")\n", "# plt.ylim(0, 1e4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing functionals of the posterior\n", "The `Segmentation.to_pp()` method can be used to get access to the raw stepwise function it represents (returned as a **p**iecewise **p**olynomial, whence the name). By calling this method on paths returned from `XSMC.sample_paths()`, this you can compute functionals of the posterior distribution." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 10;\n", " var nbb_unformatted_code = \"x = np.linspace(0, data.get_sequence_length(), 1000)\\ny = np.array([p.to_pp()(x) for p in paths])\\nq = (\\n np.quantile(y, [0.25, 0.5, 0.75], axis=0) * 2 * N0\\n) # faster than calling .rescale() on each path\\nplt.plot(x, q[1])\\nplt.fill_between(x, q[0], q[2], alpha=0.3)\\ntruth.draw()\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_formatted_code = \"x = np.linspace(0, data.get_sequence_length(), 1000)\\ny = np.array([p.to_pp()(x) for p in paths])\\nq = (\\n np.quantile(y, [0.25, 0.5, 0.75], axis=0) * 2 * N0\\n) # faster than calling .rescale() on each path\\nplt.plot(x, q[1])\\nplt.fill_between(x, q[0], q[2], alpha=0.3)\\ntruth.draw()\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, data.get_sequence_length(), 1000)\n", "y = np.array([p.to_pp()(x) for p in paths])\n", "q = (\n", " np.quantile(y, [0.25, 0.5, 0.75], axis=0) * 2 * N0\n", ") # faster than calling .rescale() on each path\n", "plt.plot(x, q[1])\n", "plt.fill_between(x, q[0], q[2], alpha=0.3)\n", "truth.draw()\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multiple samples\n", "We can analyze multiple samples using a \"trunk approximation\" described in the paper. In this case, the returned segmentation approximates the earliest time to coalescence with any member of the panel." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 11;\n", " var nbb_unformatted_code = \"data = simulate(recombination_rate=1e-8, length=1e6, sample_size=20)\\nfocal = 0\\npanel = list(range(1, 20))\\nxs = XSMC(data, focal=focal, panel=panel, rho_over_theta=1.0)\\npaths = xs.sample(k=100, seed=1)\";\n", " var nbb_formatted_code = \"data = simulate(recombination_rate=1e-8, length=1e6, sample_size=20)\\nfocal = 0\\npanel = list(range(1, 20))\\nxs = XSMC(data, focal=focal, panel=panel, rho_over_theta=1.0)\\npaths = xs.sample(k=100, seed=1)\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = simulate(recombination_rate=1e-8, length=1e6, sample_size=20)\n", "focal = 0\n", "panel = list(range(1, 20))\n", "xs = XSMC(data, focal=focal, panel=panel, rho_over_theta=1.0)\n", "paths = xs.sample(k=100, seed=1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 12;\n", " var nbb_unformatted_code = \"N0 = xs.theta / (4 * 1e-8)\\nfor p in paths:\\n p.rescale(2 * N0).draw(color=\\\"tab:blue\\\", alpha=0.05)\\ntruth = Segmentation.from_ts(data, focal=focal, panel=panel)\\ntruth.draw(color=\\\"tab:red\\\")\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_formatted_code = \"N0 = xs.theta / (4 * 1e-8)\\nfor p in paths:\\n p.rescale(2 * N0).draw(color=\\\"tab:blue\\\", alpha=0.05)\\ntruth = Segmentation.from_ts(data, focal=focal, panel=panel)\\ntruth.draw(color=\\\"tab:red\\\")\\nplt.yscale(\\\"log\\\")\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N0 = xs.theta / (4 * 1e-8)\n", "for p in paths:\n", " p.rescale(2 * N0).draw(color=\"tab:blue\", alpha=0.05)\n", "truth = Segmentation.from_ts(data, focal=focal, panel=panel)\n", "truth.draw(color=\"tab:red\")\n", "plt.yscale(\"log\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Viterbi Decoding\n", "The other function of the `XSMC` class is to compute the Viterbi/most probable path under the posterior:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 13;\n", " var nbb_unformatted_code = \"data = simulate(recombination_rate=1e-9, length=10e6, sample_size=10)\\nxs = XSMC(data, 0, [1, 2], rho_over_theta=1e-9 / 1.4e-8)\\nN0 = xs.theta / (4 * 1e-8)\\nmap_path = xs.viterbi()\\nmap_path.rescale(2 * N0).draw(label=\\\"viterbi\\\")\\nSegmentation.from_ts(data, 0, [1, 2]).draw(label=\\\"truth\\\")\\nplt.yscale(\\\"log\\\")\\nplt.legend()\";\n", " var nbb_formatted_code = \"data = simulate(recombination_rate=1e-9, length=10e6, sample_size=10)\\nxs = XSMC(data, 0, [1, 2], rho_over_theta=1e-9 / 1.4e-8)\\nN0 = xs.theta / (4 * 1e-8)\\nmap_path = xs.viterbi()\\nmap_path.rescale(2 * N0).draw(label=\\\"viterbi\\\")\\nSegmentation.from_ts(data, 0, [1, 2]).draw(label=\\\"truth\\\")\\nplt.yscale(\\\"log\\\")\\nplt.legend()\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = simulate(recombination_rate=1e-9, length=10e6, sample_size=10)\n", "xs = XSMC(data, 0, [1, 2], rho_over_theta=1e-9 / 1.4e-8)\n", "N0 = xs.theta / (4 * 1e-8)\n", "map_path = xs.viterbi()\n", "map_path.rescale(2 * N0).draw(label=\"viterbi\")\n", "Segmentation.from_ts(data, 0, [1, 2]).draw(label=\"truth\")\n", "plt.yscale(\"log\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that each path also includes a haplotype component which is not plotted:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Segment(hap=2, interval=array([ 0, 476205]), height=0.08770837623933274, mutations=21)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "application/javascript": [ "\n", " setTimeout(function() {\n", " var nbb_cell_id = 14;\n", " var nbb_unformatted_code = \"map_path.segments[0]\";\n", " var nbb_formatted_code = \"map_path.segments[0]\";\n", " var nbb_cells = Jupyter.notebook.get_cells();\n", " for (var i = 0; i < nbb_cells.length; ++i) {\n", " if (nbb_cells[i].input_prompt_number == nbb_cell_id) {\n", " if (nbb_cells[i].get_text() == nbb_unformatted_code) {\n", " nbb_cells[i].set_text(nbb_formatted_code);\n", " }\n", " break;\n", " }\n", " }\n", " }, 500);\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "map_path.segments[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This says that the first segment in the MAP path had height 0.09 (in coalecent units) and coalesced with panel haplotype 2." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Edit 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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }