{ "cells": [ { "cell_type": "markdown", "id": "1cebcf4476ca4b49", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "# Tutorial 1: Unconfined, Semiflexible Homopolymer\n", "\n", "This demonstration walks through a simulation of an unconfined, semiflexible homopolymer. In this notebook, we specify a binder, polymer, and field, then we run a simulation. In addition to the setup and evaluation of the simulation, this notebook includes an analysis of end-to-end distance to verify the validity of the model. " ] }, { "cell_type": "markdown", "id": "882fc5a08f515cf7", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "#### Import Modules\n", "\n", "Below, we import the built-in, third-party, and custom modules that we need to simulate a semiflexible homopolymer. All simulations require three types of components: binders, polymers, and fields. In this case, we are simulating a homopolymer without binding components. Therefore, we can use the `NullBinder` class from the `binders` module as a placeholder. The polymer is an instance of the `SSWLC` class from the `polymers` module. Generally speaking, interactions between monomers are handled by the field containing the polymer. In this case, we use the `NullField` class as a placeholder since we do not have any interacting components. The `chromo.mc` init file contains the code necessary to run the simulation. The `mc_controller` module manages the move and selection amplitudes, and the `get_unique_subfolder_name` function helps us create a unique directory for the simulation results.\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "b3fe9ee3be3b2739", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:28.365620Z", "start_time": "2024-07-03T02:32:27.610681Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Built-in modules\n", "import os\n", "import sys\n", "\n", "# Third-party modules\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "# Custom modules\n", "from chromo.binders import get_by_name, make_binder_collection\n", "from chromo.polymers import SSWLC\n", "from chromo.fields import NullField\n", "import chromo.mc as mc\n", "import chromo.mc.mc_controller as ctrl\n", "from chromo.util.reproducibility import get_unique_subfolder_name" ] }, { "cell_type": "markdown", "id": "cf0be0e4aec4fdd8", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Specify Binders\n", "\n", "Since we do not have any binding components, we will use the `NullBinder` class as a placeholder. We will instantiate the binder using the `get_by_name` method from the `binders` module. The `get_by_name` method requires the name of the binder as a string. In this case, we specify \"null_reader\" as the name of the binder.\n", "\n", "The `make_binder_collection` method will produce a Pandas data frame summarizing the binder's properties, which we refer to as a \"binder collection.\" A binder collection is necessary to run a simulation." ] }, { "cell_type": "code", "execution_count": 2, "id": "82995f46d585e4e8", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:29.492064Z", "start_time": "2024-07-03T02:32:29.486632Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Initialize a null binder to serve as a placeholder\n", "null_binder = get_by_name(\"null_reader\")\n", "\n", "# Create a binder collection (required to run a simulation)\n", "binder_collection = make_binder_collection([null_binder])" ] }, { "cell_type": "markdown", "id": "7d3bd906cf3124a9", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Instantiate the Polymer\n", "\n", "Specify the name, number of beads, bead spacing, and persistence length of the polymer. Using these properties, we will initialize a polymer using a Gaussian random walk using the `gaussian_walk_polymer` class method. The persistence length must be specified as a named argument." ] }, { "cell_type": "code", "execution_count": 3, "id": "6523d4e799e3eeab", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:30.661936Z", "start_time": "2024-07-03T02:32:30.607809Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No states defined.\n", "No chemical modifications defined.\n" ] } ], "source": [ "# Specify the name, number of beads, bead spacing, and persistence length of the polymer\n", "name = \"poly\"\n", "num_beads = 1000\n", "bead_spacings = np.ones(num_beads - 1)\n", "lp = 10\n", "\n", "# Instantiate the polymer\n", "poly = SSWLC.gaussian_walk_polymer(name, num_beads, bead_spacings, lp=lp)" ] }, { "cell_type": "code", "execution_count": 4, "id": "c52df1d3b073095", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:31.329166Z", "start_time": "2024-07-03T02:32:31.208473Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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P5HI5p9gznjbLpL7GH74EAvm8kQiCp0AgXQwCArFAEAQCPmE/nEKdUOjLOGh6ehqtra3IycnhZUJhKGmJeKYIooXt/FdUVIQvvvgCVVVVTEjcZDJBpVJxFjVhyqMbz/eBr3ZRIrbGx8fR1dUVVz8JzwhBMNijngHuZ9BXBIHdxSAgwAfCk0XAi0CFg4FgpwzYEwrXrFmDgoICXq4tWOGiRqNBR0fHkqUI+CArK4tj7ENy5j09PbDZbEhLS+P07S/H35EPiCDw995capvlYBGCYIQiEEi7L7tIURAIApEiCAIBDmz74XAd2Mju3Wg0MlMJ6+vrkZKSwtv1+YsQuFwudHR0YHp6OuIUQSI+SOVyOXJzc5GbmwsAnA6G8fFxOJ1Opi1PrVYjNTU1Jr9HIt6bYILAE382y3q9nrFZVqlUTBdDtIZT4UYIghGqQBBGPQtEiiAIBAAsegs4nc6QUwSekN3QgQMHmAmFfO9efQkCdopg165dSEpK4vWc8SKU+0369gsKCpi2PNLBMDIyAgCctjw+qu4TtYYgXEHgSaxtlqONEASDLRDIvSBmYWwXRUEgCISKIAgEIk4RsCETCgFgzZo1yM/P5/06AW9BcCykCCKF3ZZXXFwMmqaZDobZ2Vn09/dDKpV6Vd0fa/C1wIVis5yWlsYIrmA2y/F2UQQgCASBqBAEwXFOMG+BUCATCkl4NTs7m+/LZCCCgI8Uga9jJwKR7shFIhHS0tKQlpaG0tJSUBTF5MwnJibQ3d3NKapTq9VL3sEQDdFGCILhy2ZZr9djbm4OnZ2dcDgcnHoOT0dKvlMG4RBIINhsNlgsFgwPD6OiogJyuVwQCAIABEFw3BKqt0CwY4yOjqK7uxtlZWUoLy/Hhx9+GJMRxQSRSASTyYS2tjbIZLJlnSKINWKxmFmsgMWiOp1Oh5GREa8hTcRi15NE9EUA4p/K8EzX+LJZJl0OxEUxUSJWbIEgkUhgtVoxNjaG8vJy2Gw22O12APAa1CRMcjy+EATBcQhFUXA6nUyKIJLhK74mFJIHdCwf1BRFob29HWVlZaiqqkqYBy4fxPrB66uojixoJGfu2cGQyEOaYh0hCIQ/R0oSQSD1HJ2dncjKygpoWb0UkHtHfA2ISRJN07BarQDAmeQojHo+PhAEwXEEuyqZ7Poi+XD7m1BIjheLCIHT6WSm4VVXV6OyspL3cxxvyGQyTs7carUyAoE9eZC8R0haKVFIpMgF25GyuLiYcVHMyMhISMtqzxQh+1kgkUj8CgTPSY6CQDi2EATBcYJn4WAkYiCUCYWxEASki0AmkyE5ORlpaWm8Hp9AHoBLzVJdQ1JSEvLz870mD46NjcFsNuOzzz4LaUhTvEgkQeAJ+RsWFxdDKpVyLKtnZmbQ19cHqVTKuZ/xtFkOJu78CQSKogSBcAwjCILjABIV+Oyzz7Bx48aIrINDnVDoz744UsbGxtDZ2YnS0lJUVVVh//79CbFox4JEepCyQ+J2ux1msxklJSWcwULsGoWlmBuwHAQBWXQ9LauD2SxnZmbGtDYm3GhPIIFgs9lgtVohFou9uhgEgbC8EATBMYyntwB7JkE4kAmFmZmZQScUhjoCORhOpxMdHR2YmZnhdBHwdXxPaJrG+Pg4TCYTsrKyvCrGj3c8BwsFW9DUanVMbYHZ15WIBKtvCGSzrNFo0NXVhaSkJE4Egc/7GW36xzPCSASCy+WCy+Xy2+YoCITERhAExyi+vAXCXUwjmVAYyqyBYCwsLKC5udlnFwEfx/fE6XSira0Ner0eaWlpGB8fB0VRzMNYrVbHdazucoiA+FvQdDodE9Vh2wJnZmZG5frni0SOEJCWw1CvL942y3zXg/ib5Eg2JOT7nimGSOuYBGKDIAiOQYgZiWfhUDiCINIJhdHu4D1TBJ4PLb4FwcLCAhobG6FUKrFjxw7moWY0Gpnw+MDAAMfgR61WH1etjqEsvJ4LGtsWeHBwEG1tbRzXv4yMjKg7GBJZOEUrVgLZLPMx9CrWBaL+BILT6YTD4RAEQoIiCIJjCKLISReBZ3gu1MWaTCjMzc0Ne0JhpAu2vxQBX8f3BXE5JC2M5N75Co97GvwkJSUxI4r52v0eSw9CT1tgf65/0QxpWg4RAr4IZLPc19fnZbMcTHDFu2MkHIHAHtQkpO3iiyAIjhE8vQV85eqCCQI+JhRGEiEgTodyuTyo0RAfgsDlcqGzsxNTU1PYtGlTUGdFXwY/c3Nz0Ol0XrtftVqd8P37S4E/1z+dTgeNRsOY+pD7HMqQpkQWBLE2JQrVZpntosh+Ty51C2koAsFgMDCtnIJAiA+CIFjmhOMtEGixNplMaG5uBhDdhMJwBAFN09BoNOjs7ERZWRkqKyuDfuCjTUmYTCY0NTVBIpH4rE8IBalUiuzsbEZIkIexTqdjLG2jmUCYyKFwvvB0/SOmPmTyYCg9+4kuCOJ5bf4EF3sqJlsgkGmmiYIvgTA4OIiCggJOp4bnHIZE+h2OBQRBsIzxtB8Oln/zt5iOj4+jo6ODlwmFoe7gSYpgdnY2pF16uMf3xeTkJNra2lBUVISVK1fy9jBhP4xJ/77nBMJEMaSJhFgvbp6mPhRFwWg0QqfTcXr2PWs4ElkQLOUcAyC4zbLT6YRUKsXw8DDjKZFIiyvxM5HL5ZDJZJyNj8PhYF4jCAR+EQTBMoV8OFwuF0dZB8JTEBD3v+npaaxfv54JP0ZDKDt4doqgvr4+rAK9SAQBSYVoNBqsW7cOubm5Yf18OLD794uKipgJhOzFTSaTMQsbu50sURe3eCMWi5khTWVlZXC5XEyL4/j4OFPDkZycDJfLBbvdnnBDmhJtjoGnzXJvby/m5uZgMBgwPDwMmqaZ2oNEMJ0CwIlikPoCQigCgdgyC4SOIAiWGZ7eAuH09bIX63Dy9uEQyKkwkhSBr+OHIwgsFguamppA0zTq6+uRnJwc8Nh8IxKJvBY3z3YyMmDIn9nT8Y5EImGiAxUVFUwNBwmFf/7551FV3MeCpY4QBEIkEkEmk0GlUmH16tWgaZrTVUNMp9g1HUsR1XK5XH5rcQIJBLvdzmySPIsUE/VvkigIgmAZ4ctbIJw3uFgshsvlwsjICDOhMJJFOdg5fC3YkaYIPAnHGnlmZgYtLS3Iy8tDbW1tSIV+sX5gsNvzKisrvQYMAUBzczMzECeS6vtYkEgPUlLDAbgF36ZNm5h72NvbC6vVyqm4X4oiz0SKEPiCoijmnvjqqvFls8yOIMTDlTKcwsdQBYJniiGR3teJgCAIlgn+vAXCZXx8HA6Hg5lQyDe+FuxoUgS+jh8sQkBRFPr6+jA8PBxxt0S8YA8YoigKe/fuRW5uLhYWFjjV9yS9sBSh3EQtciQ1BHK5HLm5uUwqiAxp0ul06OjogNPpZIo8SQdDrBfrRI4QAIEXW182ywaDAXNzc3G1WQ4UIQgGWyCQ9y95hvpyUST/P5H/ZvFAEAQJTjBvgVCZm5vDzMwMsyjHylaWHSHgI0UQ6Pi+sNlsaG5uhs1mQ11dHVQqVVTniyfk75qbm4uSkhJO9T1pcSQtkEQgKJXKJb7qpcNfUaHnkCaz2cxEEEZGRph8OfkvFi6UyylCEAx2220gm2V2BCHa5wtFUaBpmpfIDnsGA+BbINxzzz2QSqV47LHHoj7fckYQBAlMtCkCcgwyoTA1NRUZGRkx9ZgndQp8pQg8CRQhIDMX1Go1Nm/evOR55Ehh++B7Vt+T4jpikKRQKDgGSbEqrkvEnVMoXQYikQgpKSlISUlhijxJB4NWq0V/fz+nRoGvcPhyiBBEaqbly2Z5bm4Oc3NzPm2WIzHuIlHGWIgqXwLBZDL5NUM7nlieT8zjABIViCZFYLPZ0NraykwonJycjHn4VyQSwWq1Yv/+/VAoFFGnCHwd3/N3oGkaAwMDGBgYCHnmwnLEc34AeRDr9XoMDw+jvb0dKpWKEQh82AMDiZ8yCAd2vry0tJQjsiYnJ9HT0wOFQsFZzCIR0IncEgnwa0zk6cvhy7Y63KJPIgjiUfshEolgNBpRUVER83MlOoIgSDA8vQUiFQO+JhROT08zLTqxgPQ7z83NoaKiAlVVVbw/FD1rFOx2O1pbW2E0GrF9+3akp6fzer54Eu698nwQ2+12xv+gq6sLdrvdyyApkcPYS4GvIU1kMWPvdtkiK5Td7rGUMggXXzbLer0ec3Nz6Ovrg8Vi8RIIntdC2qnjJarMZnPEZmzHEoIgSCA8RxRH8kBhTyisra1FUVFRRMONwoWkCAwGA3Jzc1FdXR2T85BOCcBdF9HU1IS0tLSgY5mXE5HuyOVyuZdBEqk/GB0d5eTO1Wr1sjNI8iQWu3CJROI1VIjdBRLqzIDlkDKIl2DxLPoMxWaZeBDE6x6SYVHHO4IgSADYLTLRpAiCTSiMlSAgXQQKhQL5+fkxXZhJhGB4eBg9PT2oqqpCWVlZQj98lwJfZjQkdz47O4v+/n5IpVJm56tWqwOGxhPx/sYjLM/uAgG4NtWeURiymJHC10SPECzV3zQUm2WyW5+bm2PuaSwRBIEbQRAsMcTJbnp6GoWFhRGLgVAmFPItCGiaxtjYGLq6upiJgT09PcwOPhbQNA2tVouZmRls3bqVGTh0rBCrh7Rn7py4/5HhQp2dnZzQeGZmJvMeStR8+FJcly+barYlMEVRyMjI4HTaJOK9W+rhRmw8bZbNZjPGx8dhMpnQ2toKiqK82kb5vqcmk0lIGUAQBEsKiQoYjUb09fWhuLg4omOEOqGQT0HgdDrR3t4OrVbL8TTgczyxJwsLCxgbG4NYLMauXbsSzq52OcGurAcWC8F0Oh36+/thsViY0LjVao1Jn3m0LPVi6ysKYzKZGJFltVrx2WefJeQci1jWEEQD6QrJzMyETqfD9u3bOYOvhoeHAYBpb8zIyIjam4P83TwjqscjgiBYAjzth6VSaUQLdbgTCvkSBOwUgWcXQazSEmNjY+js7ER6ejoUCsUxLQaWoqrfsxCMmPuQ8Dh5aJJ2s0TwugcSK5XBbhMlDnkFBQXQ6/WYnp7mzLGIpaFPKCRShMAXRLB4tt6SiCoRrwMDA7zYLJvNZiFlAEEQxB1f3gISiSTsMPv4+Dja29tRVFQU8oTCaBdrXykCzw8e3xECl8uFjo4OzMzMYNOmTVhYWIDBYODt+AK+YZv7SCQSUBQFlUrFjCcmD2G2QdJSOCgmkiBgQ0x12I5//gx92B0M8RK6iS4I/I1nZs8GCWazTO5pKO9NIWXgRhAEccSftwB54IbygGNPKNywYUNYEwqjEQT+UgR8nsMTk8mExsZGSKVSJhJhNBpjsoOmaRojIyOYmppiFrqlaNNL1AVOJpOhuLiYMUgiExyJlS3p3SeLWzwWtkT1RwB8ixVfhj7sgUKksC0eQ5oSXRCEmtLwZ7PMNu8KZrPscrmYVsjjHUEQxAG2t4Av+2HywQwmCKKdUBjpYr2wsIDGxkYkJSVh165dQavR+RAEExMTaGtrQ3FxMVauXMkZg8r3QuB0OtHW1ga9Xo+ioiIsLCxgdHQUADhtekuxC05E2A9hz959tkESuW/p6ekxWdgSOUIQyoImlUp99uvrdDr09PR4tePxOegq0QWBvwhBMNg2y+Q4/myWlUolJBIJIwT4qiH4wx/+gF/96leYnJzEhg0b8MQTT2D79u1+X//qq6/i7rvvxtDQEKqrq/HII4/g7LPP5uVawkUQBDGG2PgGsh8mDw5/HwKapjE6Ohr1hMJwBQE7RVBeXo7KysqgD+BgswaCQVEUurq6MD4+jvXr1zO9ywS+BYHRaERjYyMUCgV27tzJDD0huUqdTofp6Wn09vbGbRecyDtfX3j27pOFzbPPnNw3vtrIElkQRNJ26Nmv76sdz9NoKtLffzkIAj6KHv3ZLOv1erz33nv4yU9+gqKiIuTm5uLDDz/E7t27oxr69vLLL+O2227Dk08+iR07duCxxx7DmWeeie7ubp/R3H379uGyyy7DQw89hHPOOQcvvvgizj//fDQ0NGDt2rURX0ekiOjl9vRZJrC9BciDy9+Hl6IovP/++zj11FO9dt8OhwPt7e3Q6/VYv359VG9WnU6H1tZWnHzyyUFfy04RbNiwIeTzjo2NYWJiAtu2bQv7+iwWC5qamkDTNDZu3Ijk5GSv14yOjmJycjKi43tCohClpaWoqqoC4F7MfD0oyS6YOAEajUamCp/sgvl4gO3duxfbtm1LqHxmV1cXZDIZKisrI/p5i8XC3De9Xs+05hGBEOlwocHBQVgsFqxevTqi64olHR0dUCqVKC8v5+V4pB2P3Me5uTkA4BTThXMfP/74Y+zcuTNhh2P19/fD6XSipqYmpueZnp7Gyy+/jEcffRRFRUXo6OjAhg0bcOqpp+L73/8+81wIlR07dmDbtm343//9XwDuZ3txcTFuvvlm3HnnnV6vv/TSS2EymfDWW28xX9u5cyc2btyIJ598MrpfLgKECEEM8CwcDGbBSaIGnoWFc3NzaG5uRkpKCi8TCkONEMzPz6OpqSmkFIEnkaYMiI9CXl4eamtr/S6ufEQISKumRqPh1GEEum5fu2CdTgedTofOzk44HA6kp6dHXYWfqDveaFAqlSgsLOQYJOn1ema4ELsITK1Wh5wKS/QIAZ/Xxh7SxK621+v1HKMpzyFN/q4t0Y2TIk0ZhEtOTg5OOOEE/OY3v0Frayump6exd+9efPTRR7DZbGEdy2634+jRo/jpT3/KfE0sFuP000/H/v37ff7M/v37cdttt3G+duaZZ+KNN94I+3fhA0EQ8AyJCoRrvclerNkTCvl04gsmCCJJEfg6RzgLNkVR6O3txcjISFAfhUiO74nVakVTUxNcLhfq6+t9RiFCwdMmmL17I1X4ZIELZ5EDll/KIBzYBkmkSpzkeMfHx9Hd3c2pvA82KS+RBUEsFzR2tT0Z0uRZTMce0qRWq5kUVywnCfKFy+WK6VRWNuwOg9zcXFx66aW49NJLwz7O7OwsXC6XV5ozNzcXXV1dPn9mcnLS5+snJyfDPj8fCIKAJzy9BcJ1HCQe/Z4TCjMyMni7xkCCgBTW6XS6gF0E0ZzDE2K17HA4UFdXF1KVbzQRAq1Wi+bmZqxYsQKrV6/mzZjFc/dGJujpdDrm4axUKjn1B8tpNHMsd+LsIrCKigomx6vT6ZhJeampqcx9Y6dmEjlCEG9rYM9iOqfTCYPBAJ1Oh5GREXR0dDCGP2lpaczPJCrxrHEggiBR30vxZPk8lRIYX94C4b65JBIJ037EnlDIJ/4Wa5IiUCqVYacIPAl1wSaLc3Z2tl+r5WiOz4amaQwODqK/v99r4FMsYE/QA7jtZWwXQBI9YBfZHe8PJc8JjuzZAezUDHFQTES3PWDppx1KpVKvFBcpphsYGAAANDQ0+BRaiQBfRYWhwJcHQXZ2NiQSCaampjhfn5qaYuY2eJKXlxfW62ONIAiihKIo2O32qIYSkU6Enp4erFq1KmYLFgm3k50Vu3sh0hSBr3MES0sMDAxgYGAgosU5XEHgcDjQ2tqK+fn5JRuP7NleZrVamfQC8WonRXbk7yPgxnN2gNlsZsTV7OwsAPffONFaQxNt2qFcLmeGNFksFuzfvx9FRUXQ6/Xo7OxMuFHZ8bRWNhqNvHgQyOVybNmyBXv27MH5558PwP177NmzBzfddJPPn6mrq8OePXtwyy23MF/74IMPUFdXF/X1RIIgCCKEpAhIF0G0EwopikJNTU1E8wxChXzAiQkS6b2PJkXgSaAF2263o6WlBWazGTt27GBCl+EQTkqCRD6Sk5NRX1+fMHbHSUlJKCgoYIa5sIvsXC4XmpqakJWVxUQQEuW6lxp2aqaoqAjd3d1wOBxQqVSYmZlBb28vY0JDdr7xykN7stQRgkCQxZY4UZIhTUSksoc0kTREvK2q41VUCLhtiyOtJfLktttuw5VXXomtW7di+/bteOyxx2AymXD11VcDAK644goUFhbioYceAgD86Ec/wsknn4zf/OY3+NrXvoaXXnoJR44cwVNPPcXL9YSLIAgiIBRvgVBgTyiMRxEN+YAZDAa0tbVBqVTy0r3geQ5fC/bc3ByampqQnp6Ourq6iNMhoUYINBoNOjo6wo58xHtX51lk98knn6CiogIWiwWjo6Po6OjgmPxkZGTEPbSbyLn6pKQklJWVcayBdTodc+9I3pzcu3jVbiRahICNZ36ePaSpqKiII1JJGpNdoxAPq+p4pwz4cim89NJLMTMzg3vuuQeTk5PYuHEj/vvf/zKFgyMjI5x7X19fjxdffBF33XUXfvazn6G6uhpvvPHGkngQAIIgCItwvAUC4WtC4cGDB2M6NhhYXOyOHDmCiooKXlIEnnh2AdA0jeHhYfT29qK6uhqlpaVRnTOYIHC5XOjs7MTU1BQ2bdrE5KJDhRx7qR7mYrEYaWlpKCwsBMB1ryMmP+z2xliMgl1OsH93TxMah8PBLGq9vb2wWq2M859n7QbfJHqEINC1+eoEmZ+fh16vZ6yq2XbAarWa981MPIsK+UoZEG666Sa/KYK9e/d6fe3iiy/GxRdfzNv5o0EQBCHCth8GgnsL+MPfhEIyzyBWkC4CAFi3bh3y8/Njch62D4HD4UBbWxsMBgO2bt3KVEBHe3x/gsBsNqOpqQkikQj19fUJa7oSDmz3Os/Q7sjICABw2huPhd85VIJFLmQyGZM3B7jOf+zajViExRM5qhLuYssukiVW1SQSQ6aQJicncyII0RZEL8eiwmMBQRCEANtbgFjbRkKgCYWk7TAWsLsISP9yrCApg1jl7/0JgpmZGbS0tCAvLw+rVq1K2N1ZKPgTPJ6hXX9Dhog44OPBnMiEW3ypVCqhVCqZ2g2TycSIK3ZYnD3BMVKWU8ogXHxFYkgHA7tVlD2kKdzFPZ5FhWazOWYbpOWGIAgCEK23ACGUCYWxiBCwuwgqKipQUVGBPXv2xDQSAbg/zAcPHuStc4GNZ40CTdPo6+vD0NAQVq9ezYTajwc8hwyxfdo9e/iJvXIkC0Gi7najuS6RSASVSgWVSsUJi7O9I8gQnEjE1XJOGYSLTCbjdNGQVlHPWRbhDGmKZ1EhnzUEyx1BEPiBpmnMz89jZmYGhYWFEYuBUCcU8jk2GOBO8NuyZQuj5vk+DxuXy4Xe3l7QNB1R/j4U2BECdtfCzp07eZtWtpREs/D66uEnO+D29nY4nU6mvVGtVi97MxY+hYov74hodr3HcoQgGOxWUWAxVaPT6aDRaOByuTipGs86GFKrFc+UwbHw7OADQRD4gHgLGI1GDAwMRNQKGO6EQolEwlvKgJ0i8OwiiJUgMBqNaGpqYj7ERIDwDREEBoMBjY2NUXcteB77WEKhUHBay0wmE/NgHhwchEQi4dQfLFWLXqTEMnLhKa7I7Aq9Xo+uri6mb59EDzz79o+nCEEwfKVqSARhaGgIIpGIU39A3odCDUH8EQQBC09vAalUGtEiTYrp5ubmQu7x52Oh9pUi8HxgxkIQkKmBJSUlKC0txd69e2NqruNyuXDo0CFe5zwQEkEUxOLesUPkxF6ZPSeeFIYRccBu0TsWUwbh4jm7gr3rJcWd7AmOpN4oEVnK0ce+3odkSNPMzAz6+vqY99309DSysrLCmgMSCULKYBFBEHyJL/vhSARBpBMKxWIx7HZ72NdNYI9JZqcIfJ2HL0FAURS6urowPj7O1EaQLoxYhPzYKYlAv6NAcDxnCPhr0VOr1YxATkSWYtFlF3eSCY6eixpFURgYGEBOTk7CRV+WUhB4wq6DIV4SMzMz6OjowMTEBHp6ephaDvIf30ZdQoRgEUEQAExUwLNwkITxQ9mJkAmFpN8+3J1rNEWFBoMBzc3NIRkN8SUISIsfAM7UQPI7872AmEwmNDY2Mg+yY1UMLNWu0leLHgmRz83NwWAwYH5+ntPeuNQ74ESJXHhOHnS5XPj000+hUCi8oi9kUVvK4VaJJAg8kUgkSE1NhUQiwdatWzm1HMPDw2hvb2eMukgtRzT3kqQwhBoCN8e1IPD0FvAsHCQ73GC7XfaEwu3bt0c0oTCShTqUFAEf5/GEOCzm5+ejtrbWq30SAK9piampKbS2tqKoqAglJSX49NNPY7IYkFBwUlLSki40ibAbVyqVKCwsRGFhIVpbW6FQKCCXy5kdsEwm47Q3LoW9ciLcJ19IJBLQNI3S0lIolUqmLU+n03GGW5H6jUi7PyIlkQUBwO0w8FXL4RnJYhd7RjKkiU/r4uXOcSsIiLdAoNng5GuBTDK0Wi1aWlqinlAYblEhu04hnPB5NIKAoij09vZiZGQEa9eu9dm7SxZSPgQBOd/o6CjWrl2LvLw82Gw2APzvDl0uF9rb2zE+Pg6pVMpZ7I4nsx9/JCUloaSkhAnr+tq1sdsb41EQligRAk+IUCHPD8+2PKvVytQfsLs/iECI9dyARBcEgTZgbKMugHsvOzo64HQ6mSFNvoo9fSFECBY57gQB2344mLcAO0LgCUVR6O/vx9DQEC8jdcNZqA0GA8f0J5z8ZKSCgAxhcjgcqKurC1iE42lfHAk2mw1NTU1wOBzYuXMnc75YpCTMZjMaGxshkUhQV1fH9FGTfnSlUumz2C4WJOIC54lEIvEarUvSC+wRxeSexWqBS1RBQD5f/q4tKSmJ0/1hNpuZ+zc0NMSp74iF+2SiC4JwPAh83UsSQRgZGQFN05z6A89WW4fDAZvNJgiCLzmuBIGvwsFADxTiSui5c7dYLGhpaYHdbuet/z0Up0KapjEyMoKenp6QUwS+zhOuINBqtWhubkZ2dja2bNkSdEGMNi2h1+vR1NQEtVrtdT7yoOBLEBCHw/z8fNTU1MDpdCIpKYmxaXU6ncwOhIQoYz1LIFFD4f7wrMAnD2WdTsdZ4PiOuCSqIPCMEASCPcGRXXXv6T7Jvn/RpmcoilrSGoZgRGpb7DkNk13sqdVq0d/fz7TaJiUlweFwMDUzfHcZDA0N4f7778dHH32EyclJFBQU4Nvf/jb+3//7fwH/fqeccgo++eQTztduuOEGPPnkk7xenz8S913BM2z74XBMhjxD+ewJhaEsjqESrKgw0hSBJ+Es1jRNo7+/H4ODg2FFQUKdSOjrfGQQ0sqVK1FSUuJ1Pr5SEjRNY2BgAAMDA8yAKV/XLJVKOeFeUmzHbjc7HtIL4UyLZD+U2Qsc2wGQHXGJNM2W6IIgkmvzdJ8k6RmdTudVVBfp9MtEjxDwdX2exZ5sN8pPPvkEt99+O7KyspCTk4M333wTZ5xxBmOmFC1dXV2gKAp/+tOfUFVVhba2Nlx33XUwmUz49a9/HfBnr7vuOtx3333Mv+NZ33DMC4Jo7YeJICATCjUaDVavXo2CggJerzPQQk1SBCkpKdi1a1dUO4RQBQHbBXDHjh1hzT+IJELgdDrR2toKg8GAbdu2+S3M5CNl4HA40NLSAqPRGPbvxi62I26W7MUunumFeBHNvfZnr+xZYEfuWSwnEMaLYCmDcPCVnvG0BSY5cxKxCnb/El0QxGqwEduNsqKiAhdddBFeeuklPPDAA3j88cdx9dVXo7a2Frt378Ytt9yCioqKiM911lln4ayzzmL+XVFRge7ubvzxj38MKgiSk5N5EybhsvyfVgEIN0XgC4lEApPJhM7OTgBAXV1dTHpWfRUV8pEi8CSUxVqv16O5uTliF8BwIwTE3jkpKSnoIKRoBcHCwgIaGxsZn4hoHA5FIpHXYhdteiERd7x84lk1zi4KY08gJBGXQPbKieoGGMsR2p5Fdez20LGxMVAUFTBnDiS+IIiXbXFaWhoT5T18+DD0ej0++eQT7NmzJyaD5gwGQ0iR3RdeeAHPP/888vLycO655+Luu++OW5TgmBUE/rwFwoWiKHR0dKC4uNhrQiGfeC7UfKUIgp2HDTtkX11djdLS0ojDnqFGCMgEyLKyMlRVVYW8YEYiCIijYqjnChe+0gvLrYYgGjyLwoxGIyfn69nxwS6gTdT7ROYYxEPceUasfN0/dv1BUlJSwguCeA82Ihs8tVqNCy64ABdccAHv5+nr68MTTzwRNDpw+eWXo7S0FAUFBWhpacEdd9yB7u5uvP7667xfky+OOUHA9hYgO4hoJhRarVaUlpaitrY2Ble7CDtCwGeKwBORSORzsSYCJFjIPhRCEQS+XA5Dxd/vEOhcJN0T7FyR1j/44lhJL8QrVy8SiZCamorU1FSUlJTA5XIx9sqjo6Po6OhASkoKc88SdYDQUkUuPO+fpz11V1cXlEolXC4XU1SXiOOxY5Uy8AURBKG+j+6880488sgjAV/T2dnJWS80Gg3OOussXHzxxbjuuusC/uz111/P/P9169YhPz8fu3fvRn9/PyorK0O6xmhIzCdQhFAUBafTGVWKAOBOKExPT4+LzzXpMhgeHkZPTw8qKytRXl7O+wNPIpHA4XBwvkaGIZE2xmgFSLBF1WKxoKmpCTRNc1wOQyWctkZ2+2Ik5+KLUNMLTqcTZrMZmZmZCbnYxROJRMIs/pWVlYy9sk6nQ3d3N6xWKwYGBmAymWLW8REJiSJUPO2pyXuuu7sbs7Oz0Gg0TP1GpKY+sSDekw7DSQHffvvtuOqqqwK+hl17MD4+jlNPPRX19fV46qmnwr6+HTt2AHBHGARBECJsbwGym4nkA+lrQmFTU1NM8kmeUBTFVL5v3boVmZmZMTkPe/dO0zTGxsbQ1dXFW42C5zk8mZ2dRXNzM3Jzc7Fq1aqI24tCEQSB2heXGn/phb6+PvT392NgYIBZDNVqdcwHvCwHPO2V9+/fj4yMDCwsLDApGXZ4fKnEX6LWNpD33NDQEMrKypCWlubXP8LXWOJ44XK54ha5MBqNYW342J/ZYGg0Gpx66qnYsmULnnnmmYjeE8Qe3pcJXCxInCdkhHgWDkYqBvxNKORzLLE/yChfANi5c2dMW9fIYu10OtHR0YHZ2dmQJzKGiq+QPrvNb9WqVSgqKorq+IEEAVvYRVMLEU9IemF0dBRVVVWQyWQJlV5IxPsnEomwYsUKqNVqpufcs3+fXX8Qr0UmUdshCaSGwHM8Nts/Ynh4GAC8DJLi8XuRlEY8iJVtsUajwSmnnILS0lL8+te/xszMDPM90kGg0Wiwe/duPPfcc9i+fTv6+/vx4osv4uyzz0ZWVhZaWlpw66234qSTTsL69et5v0ZfLGtBEKm3gCfsCYWeOftYCgJ2F0F5eTln9GesIFMVDxw4AJlMhvr6et4/fJ4h/Wja/HwRSBAQC2KtVhvTSEssiUX3QjQkavEe+7rYPedse2WdTofBwUG0tbVxwuMZGRkx28UnSsrAH76K9vz5R+j1ekxPT6O3txdyuZy5f2q1OmbzK+KdMohFSviDDz5AX18f+vr6vDY/5H3rcDjQ3d0Ns9kMwN1B8uGHH+Kxxx6DyWRCcXExLrroItx11128X58/lqUgiNZbgH2coaEh9PX1oaqqyueEwlgJAnZEYuvWrcjIyEBfX1/Mw2VkF1VWVobq6uqYPBTZEYL5+Xk0NjZCpVJF3ebn6/hsyARGsViMurq6ZRlm9/U+Dqd74XhKLwTaiXv27xM7arbnPbu9kU975URNGRBCuT5fY4kNBgN0Op1XgScfUwfZxLvLIBaC4Kqrrgpaa1BWVsYRtcXFxV4uhfFm2QkCPrwFAO6EwkBV9aFYCoeLvy6CcKvnw4GiKHR2dmJychIqlQo1NTUxOQ+wGCEYGxtDZ2cnr/UJ7OOzYVsQe05gXG4E25EfK90L0RJOaF6hUHjZKxNRNTg4CLFYzNn9RiOqEj1CEEnbIbvAEwCnwJNErdLS0pj7F43B1LEQIViuLKsnBUVRsFgs+Oyzz6JqxwtnQqFEImEm7EULu8/fVxdBLMQHsLhzFolEqK6uxtTUFO/nYCMSiaDRaGA2m7Fp0ybGhIbP45NF05cF8fFEPNILiZoTj/S6fM0PIKJqfHw8alGV6BECPnwIPAs8LRYL877TaDSMwRQRCOG09sU7QsCXx8uxwLIQBCRFQNrlbDZbRAtnJBMKg80YCBV2n7+/3DZf52IzPT2NlpYWFBQUoLa2FtPT0zGLQgBgdl5SqRT19fUxKZAkgsDhcKC1tRULCwu81CYkAtEuvMdTeoEvoeJpaetwOJj6A/buly2qAi1Yx2KEIBhKpRJKpZKZCWIymZgOBs8ITLCZH0KEYOlIeEHg6S0gkUgiyuuTCYVknG6oEwr5qCEgRYskj+4vshHtlEA2FEWht7cXIyMjWLt2LdO2wuc5PCGDn0j1cqy6JUQiEcxmMzo6OpCcnIy6ujpeC5wSdUccCcd6eiEWfyeZTOYlqsjul20PzG5vZF9HIr9/SHtzLHfgIpEIKpUKKpWKMUjyfN8lJSVx7iE7ShvvCIEw+niRhP30B/IWCHeRZk8oDLf3PRpBQFIEPT09qKqqCmo0xFcBo9VqRXNzMxwOB+rq6jgKOBZ1CjRNo6+vD0NDQ1izZg10Ol1MK9NdLhe6urpQXl4eEwvipSZW9y7RuheiJV4Lr+fu12g0QqfTYWZmBn19fZDJZJz6g0S2Biaf/XheHzsCA4AZcEWiB6QDhNw/p9MZtwiB2WyOyWya5UpCCgK2/TDg7S0glUqZ7wWCjwmFkS7SJJw9Pz+Pbdu2hdT+xsfufXZ2Fi0tLVixYgVWr17t9cHiO0Jgt9vR3NwMq9XKRF70en1MFjXy97RYLCgvL0d1dTXv5zieCDW9YLVaQ/q8xZulaIdk2wOXlpZyqu9HRkbQ0dEBhUIBkUgErVYb0XjiWELu2VIKFs8BV6QDhBgkOZ1O9PT0IDs7O+bCNFxjomOdhBMEbG8BkUjk840byiJtMpnQ3NwMILoJhZEIglBTBJ5EU1RI0zT6+/sxODgY0PiHzzqFubk5NDU1MVMRSbg5FmkJtgVxamrqMVEv4Iul3JGz0wukD12n00Gr1aKvrw/j4+MJlV5IhNC8Z/W93W5HX18f9Ho9urq6GPc/9njipbzmpYgQBIPdAUJRFPbu3YusrCyOAyW7RdQzRRMppNZBiBAsklCCINQJhcEWaTJBr6ioKOoJheEsbuwUQXV1tU9fg0BEuliTXbrFYglaXMfHYs02VPLlBMjngCDALTwaGxsZC+KjR4/GZHdotVrR2dnJ7GASYdFbKth96Hq9Hjk5OVAoFAmVXkgEQeCJXC6HSqWCy+XC2rVrOVGX4eFhznwB4v4XT8hGK9HuG4F8rgsLCyGXyzkOlOwUDbv+gD0BM1yEGgIuCfW0c7lcIU0olEgkPkOYZELh9PR02BP0Ap0rlF17JCkCTyKJEBC//oyMDNTX1wddwKIVBE6nE+3t7dDpdH7HMovFYq8BSpHgz4KYb8EBADqdjpl7IBKJvBa9rKwsXs1rApFozoA0TSdk90IiCgIAnGdYcnIykpOTOe5/Op0Ok5OT6OnpQVJSEqf6Ptb2yolc3wAsRjBImsWXA6WvCZjk/mVmZoYl4mNlXbxcSShBEOoUO6lU6rVwsicU7tq1i7cHUiiCgITOU1NTo5oWGE6EgO2yGI5ffzSCwGg0oqmpibE89qfM+ShcJBbEs7OzXsKDz8JIdrSjpqYGubm5zAOdLHparZbZ3ZEFLysrK2bWrcsBf+mFeHUvkOdEIgoCf22H7KgLKeok7Y0DAwOwWCxe0wf5XrwTXRCwDed84W8Cpl6vR39/f9j3UIgQcEkoQRDqh5u9SPuaUMjnGz6QIIg2ReBJqIu1ZzTCn8uiv3PQNB327mpychJtbW0oLi4OankcznhiX7AtiH3NWoj2+ASXy8UMeCL20aSrBfBe9Obn56HVahkHRpVKxVn0+HjfJeICFwxfC128uhcS8X6F+tnyVVxHoi7j4+NwuVyc3Hk45j6Bri3RBUE47rOeBklWq5V5742Pjwe0qLbb7UxNEt+UlZUxA6IIDz30EO68806/P2O1WnH77bfjpZdegs1mw5lnnon/+7//Q25uLu/X54+EEgShQlIG/iYU8n0u0gLJ/iDxkSLwda5g0Qi27XEk0QjyO4Rq/kFRFHp6ejA2NoZ169aF9OaMJgoRigUxHykDi8WCxsZGiEQiztwDfw8idutUZWUl7HY79Ho9tFotOjo6OA/vrKysqCbDJVrKIFzikV5I5AhBpIuu5/RBYu6j1WrR398PqVTKaW+MJHcezx7/SIg2gpGUlOR1D4lAIAZJNE3j6NGj2LVrFwDErMvgvvvuw3XXXcf8O5jwuPXWW/H222/j1VdfRXp6Om666SZceOGF+OKLL2Jyfb5YloJAKpXCbDZj3759PicU8glZNNkfJL5SBJ4EWkjZkZBoZgOEIwg8/QxCrcaNZMFmWxCvXr0ahYWFvB6fjVarRXNzM3JycrB69eqIHkByuRy5ublMioE8vGdnZ9Hf389MhsvKygo7r5loRJurj0V6IZFFEx9Ohb7MfUh7I4lQRTJcaDmkDPhq02TfQ2JRvbCwgIMHD+K1117D/fffj+TkZNx2220444wzcNppp/Fqs56amsqMOg6GwWDA008/jRdffBGnnXYaAOCZZ57BqlWrcODAAezcuZO36wpEQj2lQvkQsd3WVq5cGXWYPhjkw+NyuSCVSnlNEfg6l68IASnk02q1UUdC2IIgEKTILjs7G1u3bg3rQxpuhCBcC+JQBAFF0RCLuX8b9iyJ2tpaFBcXh3yNwa6H/fBmj94leU1ifZuVlbXkrWdLCV/phWMxQhAIdncCO3eu0+nQ09MDm83m1d7o6xoSXRDE0raYvPfOOOMMnHHGGTh8+DAuuOACpKWl4Ze//CUuu+wyrF+/Hs8++yw2bNgQ9fkefvhh3H///SgpKcHll1+OW2+91a9oO3r0KBwOB04//XTma7W1tSgpKcH+/fuPT0EQDDKhcH5+HpmZmSgvL4/5OUk+y2azoaOjg9cUgSe+uieMRiMaGxuhUCiwa9euqFpsgMUHaKBIBClWrKmpQXFxcdgP3XCK/hYWFtDY2BiWBXGw4x8e0uOGF5uwoTAd93ytBuXZKUyRolar9TtLgi/Yo3erq6thtVqZ0O/o6CgAcIoT2X/TWHRQJDKRphcSWRDEw4vf13Ahct/Ie8yzvZF8bhJZEMQ7pZGUlITf/OY3EIlEmJ6exkcffcTLRuGHP/whNm/eDLVajX379uGnP/0pJiYm8Nvf/tbn6ycnJyGXy73qwXJzczE5ORn19YTKshEE7AmFFRUV0Gq1cTu3WCxGQ0MD0tLSeE0R+DoPe6EjfgqlpaWoqqrirWjN34LKHsAUbrEim1CL/iYmJtDW1oaysrKwLIgDHd/hovDzt7pgsrmwb0CHc//vAK7ZWYQtylkoZBJOvUC8SEpKQkFBAQoKCjghczJZLzk5mVnwElUMxGvhDTW9QKJIiSgIlqJwz3NmBblv09PT6O3thUKhQGZmZkLeLzZ8pgyC4WlbnJOTg29+85t+X3/nnXfikUceCXjMzs5O1NbW4rbbbmO+tn79esjlctxwww146KGHot7UxZKEFwQURaGvrw/Dw8PMhMKJiYmYjAn2hOyWXS4XioqKUFtbG9MPFCkqJF79k5OT2LhxI7N74vM8noKA7NSVSmXUoidYyoBdqBiJX0SgXfTzB0fRP2OCOkWGNflp+KxPiz99MYp8lQS/vHBdUDEQ6wemZ8ichH61Wi26urpgs9kwPDwMu92OrKws3lzZomGpREqg9MLAwAAAoKmpCVlZWQnhAkhY6mmHvnr3SQpramoKdrsdhw8fZqIH6enpCWOvHM8IhtFoDOvzdfvtt+Oqq64K+JqKigqfX9+xYwecTieGhoZQU1Pj9f28vDzY7XbMzc1xNmJTU1Mh1yHwQUIJAs8/jL8JhXwNAQqE3W5HW1sb5ufnoVAokJOTE5fFwuFw4ODBgxCJRDEbH+wvEhHuTt0fgRZstgVxpJbS/o4/s2DDE3vdC8Vtu6uwVW3HK9JZ/HtEhgmjE1c/14QbTizDbadX+T12vBc/duiXpmkcOXIEycnJzKJHBueQ/2JtXJPIsNMLNpsNX3zxBfLy8hJutHOitfaxU1gKhQJ6vR65ubnQ6XTo6OhgWvOIQIiXAZcv4hkhCHf0MTu1FS6kjdrf5mfLli2QyWTYs2cPLrroIgBAd3c3RkZGUFdXF9E5IyGhBAGbQBMK/TkV8oVnF8Hhw4fjEpEwGo3Q6/UoLi7223LHB0QQUBSFzs5O3iMR/iIEnhbEkVbeswVB/4wJv/qgF5XZKXi/cxommwvrClJRJZnB0JAeN3x1G76fpMJje/rw/KEx/OmzIeSnJ+Gybb5nPSwlIpGIMV7Jz8/nDM4ZGhpCR0cHY7pCihMTaeGJJ+TvX1BQsGTmSIGuLREiFb6gKApSqZSZHUDTNMxmM1N/MDQ0xBhwEYEQT2EVT0FgNBpjMsdg//79OHjwIE499VSkpqZi//79uPXWW/Htb3+bqV3SaDTYvXs3nnvuOWzfvh3p6en47ne/i9tuu41Jid18882oq6uLW0EhkICCIJQJhb6cCvmApAh6e3s5XQTRDB0KBXYIXalUYvXq1TE7FwDGha+rqws0TaOuro5X+07PHbw/C+Jojk8Ex+EhPT7unsXH3bPM92fmjPh8yIHLT9uOjDT3B/7ur9UiW6XAYx/14/53ulGUqcSJVfz7VvAJ25WtqqqKMa7RarXQaDSgaZp5aMfSFz8RFzjPosKlNEfyZKlTBoHwDMmLRCKkpKQgJSWFac0jXVykxoUIq0isgaO9vlgSq9HHCoUCL730Eu69917YbDaUl5fj1ltv5dQVOBwOdHd3w2w2M1/73e9+B7FYjIsuuohjTBRPEkoQOBwOHDhwAEDgCYWxSBnY7Xam9W379u2cPE4sUxRWqxVNTU1wuVyoqamBRqOJyXnYUBSF9vZ25Ofne0Vf+IAdISBugDMzM35nH0RyfPL3+Nq6PPzqg14YbYt/n0kzjf9ttOJPLQdw+bYi/Oyr7pzd904qw5DWjDeaJ3DLKy34x3e3YWXu8hl96mlc4+mLz94RZ2ZmJkxeOBYEEylLOXsh0VIGbIItuGwDroqKCo6wYrfQEiGalpbG6++ayCmDUNm8eTOzjvmjrKzMKz2ZlJSEP/zhD/jDH/7A+zWFSkIJAplMhpKSEhQUFAR8k5EFmq+di16vR3Nzs98uAj5HBrOZnZ3lGOTo9fqYRiLIiGSr1YqSkpKYRSKIIAhmQRwpIpEI7/Qacf3bn2LGaPf7OoeLxmd9i90oJpsLawpS8e+WCRhtLtz7Vhde/O5WXq6JL0J9P3sWjrEf3KQvne2cyIftbSIR7mc/nrMXllOEIBiewoq00Op0Omg0GlAUxWlvjLYIlqQ04oHRaIyZS+FyJaEEgUgkQnFxcdDCLqlUytgJR6Mm2SmClStX+g1l8x0hoGkafX19GBoawqpVq1BU5M5n8zGa2B92ux0tLS0wm81QqVQx7cMXiURwuVzYv39/QAviaI7/dq8JM0bff5OsFDl+cEo58tOTsKUkAy1jBrx8VIN32qZgtrt/RiYR4eTqxEwZRFLYyH5w0zTN2REPDQ1x0g9qtTrsLpJEW+Ci2QzEOr2QiCkWAkVRURWmsltoaZqG0WjkOHSyRxNH8j5zuVxxGxpGnoUCiySUIAgVtp1wpIIgUIrA1/n4EgQ2mw0tLS2wWCyczgm+z8PGYDCgsbERaWlpqKurQ0NDQ8yEB03TGB8fh8PhwLp16wJaEEeKSCSCzuK+/txkEabM3AVUa7KjLCsZQ1ozrnj2KLomjcz3KrKTcemWQpy3IR/qFO8HT6I+yMPB19hdUpw4MjLCKU4kbWeBBNux7o3Ad3ohkc1/+Lw2kUiE1NRUpKamorS0lFMES0YTk80HibwEe17Hw9SJYDKZ4jo4aDmQcIIgFKc2tp1wJLBTBLt27QqqmPlaqPV6PZqampCZmYlNmzZ5hcb4jhDQNI2xsTF0dXWhsrIS5eXlTJFkLAQBsSA2GAyQSCQxEQMAYHHQsDrd75H7d+fg+v9Meb3mmucamf8vl4rx1TU5uGRLEbaUpB8Ti344eNre2u12ZsFrb2+Hy+Xi7OqWw3z4WO7Co00vJHqEIFZihR2FAsAMANPpdOju7mbslQNFXuLpVGgymWJSVLicSThBEAqkPSvc1sNQUwSeRCsI2HbAK1euRElJid956XxFCNjFfJ7zD2IhCNgWxJs2bcKhQ4d4PT6BpmkMTOoAAClyMU7eug7fmZbj7wdHfb7+4s0F+PFXqpGRvCj6bA4X3u+cwd6eGXxzaxG2lcUufRIu8bAulsvlnLYzEvYlrnZJSUmc4sREJF5Ri0jSC8u5qJBPPAeAkciLXq9nIi+eXTLHQlHhcmZZCgIg/NbDcFIEnojFYtjt/ovXAuE5JjlYaoKm6ah3GGazGY2NjZBIJD6L+fgWBJ4WxBaLJSYRCKfTiba2NmjnFgAALhoY0pqRmuR+G+8oz0TDyBwcrsXF4tWGcXROGnHRpgJsKc3A643jeKNpAnMWBwAgQynjCIJE3dnFCs+wr9Pp9BrMRHze5XJ5wrgBLtUuPJT0Ak3T0Ol0SElJWTJzJH8sVTrDVxrLs0smKSkJTqcTRqMRDocj5iZcsWo7XM4sW0EQzq493BRBNOdiYzAY0NTUBJVKFZIdcDijif0xPT2NlpYWFBYWoqamxueHn6+uCX8WxOScfD60zWYzGhoaIJfLccLaMvxrZAw9OidueqkZZ6125wEPDuoBADW5KpxYlYW/fDEMAGgbn0fb+LzXMdcXpuH7J3OtRqempmCxWJCdnR2zvv5ERiqVIjs7mxkDa7FYcOTIEVgsFjQ2NjKmNeS/pfJlT5SwvK/0QnNzMzOmeKnMkfyRKPUNviIvc3Nz6OjowPT0NEZHRzntjcHqXCJBiBB4k3CCINQPeSiLdKQpAl/nCmcBZRvxsHP3oZwHiKxYkj3zYe3atcjPz/f7Wj4iBDabDc3NzbDb7V6eEXwIGzYzMzNoaWlBQUEBampqMDY2hh9tTcG9+y3onTahd3qAeW1FdjKeuWIzeqaNjCDwxy/PX40slZy5VuLamJycjL6+PuZhnpWVFVJBFB8kwiLHRqlUQiaToaysDJmZmYxpzdjYGDo7O6FSqTgLXrwWm0QRBGzIIicWi1FbW4uUlJQlM0fyRzyL9sKBCFGpVIpVq1Yx9t2kzsXpdHLaG6Nto6VpWhAEPkg4QRAqUqk0YA0BSREYjcawUwSehBMhcDqdaG9vh06nC9uIh72QhgNZnG02G+rq6oK+yaMVBMSCODMzE5s3b/ba9ZAParR5XpqmMTAwgIGBAaxZs4ZxrRSJREiXA49fsh6XPX2E8zPfO6kcP3ipGY2jhqDH/5/X2vDGjTuZ+QpOpxM7duyAVCoFRVGcgii73c7p64/l0KFErer3NK1hF40RT3zP4sRY3qNEEwQEUkOwlOZI/khkjwRgUbB4mnCZTCam/mBgYABSqZTzXoskUmU0GjldXgLLWBAEWqQ9jYaizUWFKggWFhbQ1NQEhUKB+vr6sN+kZDRxOOkJdueCr8XZ33kiEQShWhBHKmzYOJ1OpmNhx44dzLhbcnyaplGR7Z3/+8nr7SEdf11hGi7eXMC0ZGZkZGDr1q2gaRoOh8Orr5/t906GDpEpe2q1eslDweFisDigkIqRJAttt+jr7+xZNEYe2qQnXS6XcxY8vu9Roi5s/sRKPM2R/JEoKQN/+OoyEIlEUKlUUKlUKCkp4bTRajQadHZ2IiUlhdPeGMq9E2oIvEm4p1g0KQOapjE4OMhU80frmR/oXJ5oNBp0dHSgtLQU1dXVEZ831PQETdMYHh5m5i6E87uKxeKwOzTCsSAm1xGpIDCZTGhsbGSElWftBanEv/2frREdHwBaNfPu/ypoXH1CBSoqKiASiXzeF0+/d/Y42YGBAbS3tyMtLY2ZKBfNtLh4LHKjegsufOoo5FIxLt9agG9tK+R0YXgSSsTC86HNvkeDg4PMPSILXlpaWtQh30QVBKHswpdq9kIiC4JQzebYbbQAmBHier2euXfs95qvIWBCysA3CScIQsWz7ZCdItixYwfS09N5PZc/QeByudDZ2YmpqSleJgaGEs4n1fZ6vR5bt24NuzUs3JQBsSAmI5mDhTajSRnMzMygubkZRUVFWLlypc+HFxEEn/fr/B4nN02B31y0FiqFFOc/eRAAIBYBlMclvToggirXhTsrQ3/YssfJVldXc0LBw8PDEIvFnOhBvJzXQuWzPh2sTgpWJ4UnPx/B3w6O4eLN+bhyRxFyUvkpEmTfI4BreTs66m4RjSZcnqhpFSCyWQbxSi8kag0BAKbDKtx7xx4hDoDT3kjeayTdl5mZCaVSCavVCpfLxXvKYO/evTj11FN9fu/QoUPYtm2bz++dcsop+OSTTzhfu+GGG/Dkk0/yen3BWLaCgN12SFIE6enpvKQIPPG3gJL2PuLVz0dVerBohNFo5OyeI8mdhSMIyLyFcCyIIzE/8lcv4O/4LopC1YoU9M2YcPvpVfj6hjxc9NQhaI123HZ6Fa7dtRgxufvsGtz/Tjfy05Pw1o3b8NGBJvyz04T9k+7rk0uj2zF5hoJ9uQKSxTGUkcWxXuxaxt1tm6dUqzE1b0fnlBHPHdTgH0fG8fX1ubimrhjFmYvvZT52456Wt54T9ZKTkznh8mCLVqJGCPhoGwZil15I5AgBee5FK1jY9449BGx6ehrvvvsuHnnkEWzbtg35+fmwWq18XDpDfX09JiYmOF+7++67sWfPHmzdGnhuynXXXYf77ruP+fdSGIQlnCAIJ2XgdDoxMDDAe4rA17k8F+nJyUm0tbUFbO+LhEALKen3Ly0tRVVVVcTnDGWxZi/Qq1evDtt1MByDHVIvMD8/71Uv4AuxWIymKSf6ZuxQKSS4bFsRUpOkePsHdTDZXCjI4O6evrG5AH/8dBCaOSt+/8Y+nFGdhj9fe2JM+px9uQJqtVrodDq0tLQwI4tJBGEp+tRbNO4WzMu2FqCuPBNfDOjx5y9G0DA6j382TuL1pkl8Y1M+7jqrKiafJ5FIxAmXk5CvTqdDV1cXHA4Hs6PzV1GeyIIAAK+LLp/phUQuKiTPJL7nnrCHgK1cuRJZWVl45513MDc3h8rKSmzcuBGnn346vvKVr+CEE06I6jNJTL8IDocD//73v3HzzTcHve/Jycmcn10KEk4QhMP09DTEYjHvKQJP2IKAoih0d3dDo9Fg7dq1vP8BfYkP9jnZ/f6REkwQOJ1OtLS0YGFhIaQFOpJzEEjEIykpCXV1dSGF10UiEd4ZdBsLETEAAOlKGdKV3ou8QipGeaYcs0Y7hiwKbN68OW4PRblc7jWyWKvVMju95ORkRhxkZGTE/Lp0JjtG9e5d0doCdx7/hEo1TqhU4+iIAX/+YgRfDOjxSsMEbj65DKokKdq1FAqtTgRKTDlcFKwOivlbhAM75OuvgJMdLidCLhEXNvKej+W1RZpeIDn6RI4QkOhirFCpVLjwwgtRU1ODd999F/39/fj444/xwQcf4KqrrsLrr7+O7du383a+N998E1qtFldffXXQ177wwgt4/vnnkZeXh3PPPRd333133KMEy1IQkNwQceKLtaMVKfQzm81oaWmBy+Xy6r3nC8+F1Gq1oqmpCS6XC/X19by8QQIt1kajEQ0NDUhOTg55gfZ3jmARAmKiVFxcjOrq6pAfBC0TJvQZaMgkIlyxsyTga2maxtMfNuPwqBESEfCDM9Ys2ULC3q2wd8ZarZZp2yOhX9LayDetX6YLKrKTkeaxeG8pSUdJ5kqc9vhBiEXAoNaMB//bh+5pCp2WCVxRr8DLR8dhsDixYHNi3urEwKyZc4wfnFSK751YGvH1eRZwUhTFFCcODw8zxYlyuRwulyvhFrhYRAiCEWp6gbReJ2oNQTzrG4xGI1JSUpCXl4fLL78cl19+eUxSdU8//TTOPPNMZqKtPy6//HKUlpaioKAALS0tuOOOO9Dd3Y3XX3+d92sKRMIJgkAPa9JF0N/fjxUrVsTF3hJY/ADt378fubm5WLVqVczeuOx5BlqtFs3NzcjOzsaaNWt4O6e/TobJyUm0trYyFsTRLJyBWhtpmkZ/fz8GBweDmih5MjVvwwMfuHdBF2wsCFgE53Q68fHBJvzvgTkAwPdPrsD6wsCRpHiKBc+dsclkQnt7O4xGIw4ePIikpCQmepCZmcnL37/5y3TB+gLfxVQzRrdFN0UDVz7XDPKITEuS4NkDo9jTrQ14fF8RmmhgOyMCbs8N0m5mNpvx+eefe/nhLyVkUVkq0RkovdDX1wcAaG1tZd5XiWJFDcR3sJHZbPYS3IHuw5133olHHnkk4DE7OztRW1vL/HtsbAzvvfceXnnllaDXc/311zP/f926dcjPz8fu3bvR39+PysrKoD/PFwknCPxht9vR0tICk8mE7du3w2QyMRWksYSIEACorKxEWVlZTM9HUgYDAwPo7+9HbW0tioqKeP3QekYI2BbE69ev52UkqL8oBDsdwR7/TNM0HninG2a7C/eftwpSifeDQW+247t/b8D4vB0rlMCPTqvweg3BbDbjyNGj+GOjExan26b4hpPKov69YgVp20tOTkZ6ejoKCgowNzcHrVaLnp4e2Gw2ZGRkMA/ySJ3aWjTuCMH6Qu80EE3TePbA2OK/Wd97p0sPi8O3wKtakYxz1ubia2tXIC8ttjURxLAGAMbHx1FdXQ2dToepqSn09PRwiu34ElHhEI+UQTiw0wt2ux2ff/45cnNzOQOG4m2O5I94DjYiEYJQ/0633347rrrqqoCvqajgPo+eeeYZZGVl4bzzzgv7+nbs2AEA6OvrEwSBJ8R8JyMjg0kR2Gy2sHvpw8Vms6GlpYWpRI02dx8qo6OjcDqd2L59e0xqI9iLdSAL4mjwVVRI6gWUSiUnHUFRNE7+7eeYXrABAG7ZXYlcj4XFaHPiuueb0DttwooUGX601oVsle/oAOmMaDGno107B4VUjEcvXAMZS2TYHC70zphQk6vifH2pIQ8oz5kCJK+u1Wo5efWsrCxkZmaGFClzUTTaxokg4EYISHrg4NCcz5/1JwZevmYTVufH3+2NtKexC8bYu2G2iCKLXTT+EOFcFzEYSzTIZ76wsNBrwFA8zZECXV+iTjpk12yEAk3TeOaZZ3DFFVdEFMVuamoCgLCip3yQ0IKAnSLwHBsc7UjiYOh0OjQ3NyMzMxObNm3Cxx9/HJMJfmxIK5Y/Qx6+IOH8ubk5RmiF6nIYKp4RgqmpKbS2tqKkpIRj3OR0Ubjqbw2MGFApJF5iwOZw4fv/aEarZh4ZyTI88Y0a6Ic6vM7JNmtatWoVPj46D2AONieF3+3px/98pQrFaneY8KH3evGPw2Ocn/+fr1Thsm2FWGp54CuXyZ4U53K5mNZGT9Mf0troqyr/1x8OwGR3ITVJiqoVi8Kvb8aES59ugN0VXg41RS5BiXppQvS+ugw8i+3YxYlDQ0OQSCSc3XAsPl+JXsUvFouZ61sqcyR/xDNlQCIEseKjjz7C4OAgrr32Wq/vaTQa7N69G8899xy2b9+O/v5+vPjiizj77LORlZWFlpYW3HrrrTjppJOwfv36mF2jLxJOEJA3nGeKwHOnHCtBwBYhNTU1KC4uhkgkirkAIU6HKSkpyM7OjqmZjUgkgt1ux+HDh1FVVYWysjLeP+hEdNA0jb6+PgwNDWHdunWcroy3Widx+z/bOD9XX6FG/aOfQmuy44YTy/DDUytw6z/bcHBQj2S5BH/+9kaUpYpweJC7eLlcLrS3t0Or1TJjpn+sdkAsFuHVoxq81zGNj7pncOXOEtx4Ujk2Fad7CYJffdCHX33gzrOuzU/FT75SgU3FseteiRT2wlZVVcWY/mi1WoyOjkIkEjHfz8rKglwux7MHxvD8YQ0A4K6zqiARL/69XRQNmUQMe5jvb5Pdhbpf78OFG/JwyZZ85Kjk+PshDc5Zl4uVObG1hA2l7dBz3C4RUaOjo4w/BLlPfE3Ti8RYJ14EK8Bc6tkL8UwZxNq2+Omnn0Z9fT2npoDgcDjQ3d0Ns9ldkCuXy/Hhhx/iscceg8lkQnFxMS666CLcddddMbs+fyScIAB8pwg88XQq5AOHw4GWlhZmIBJbhMRKELCdDjdt2oTp6emYRiJcLheGh4fhcDiwbds2xkmOb4g9ckNDA0wmE6deAHDXA3iKAQB4v3OG+f9/+mwITWMGHBzUQy4V48nLN2B9YToWFhY4u2ir1YrGxkYAQF1dHfOgykiW4b5zV+Fb24vx8H97sG9Ah798MYzXm8Zxy2mVOPrTU3DFs0fRPrHgdR1tEwu44rlmnFipxgUbc+Fw0aBoGjtKM7CCJzc/vmCb/lAU5TWRsHVBib+0uds0bzutDGev4aa+anJV+OTWOticFHb9Zp/PcxCXx60l6Xj467U4/YmDzPdeb57E682TzL9bxhfw7Hc2xOA35RKOiPXlD8GepudyubwGM0XCcogQhEq8Zy8kcsogXF588UW/3ysrK+M8v4qLi71cCpeKhBMELpcLLS0tqKio4KQIPCFOhXwZlBgMBjQ1NUGlUvkUIbEQBJ6WwEqlElqtNmaRCDLTnqIoSKXSmIkBYLFQMS0tDXV1dZz7abI5ccsroc0hODioh0IqxuOXrseOcnelObs+gYhH0onh64FXk6vCX6/YhL09s3j4vV4Mac245z9dePHwGJ7+ziZc/NRhjBusOLk6C5/0cqvoP+vX4TOWRfLa/FS8ePXGoO+5WaMdP/5XJ9YVpOL23RU4MjKHX7zTC3WyDPd8tRqVK3zvTsIxdGLTOGrAj1/vxO2nV+DsNTnMRMInPu7HX9o0zOuomUG0thqY6AERTwqpGAo/jo1X1Yqgzi3Abz/RIEMpQ26aAn+4ZA1+8Ip7kJSnJXTDiAGT8zbkpcVOOEX7uScGMnl5eaBpGkajETqdDjMzM+jt7YVCoeB0eIS62CWqYRIQnUthPNIL8U4ZHItzDIaGhlBeXu719ZNPPhl79+4N+vMJJwgkEglOPPHEoG8MoiSjVZU0TWNkZAQ9PT2orKxEeXm5zzcy34JgZmYGLS0tyMvLw6pVq5jfVywWw+Fw8HYeAim0y8vLQ1FREQ4dOsT7OQhTU1NYWFhAdna2lwmQ0ebEtX9v9DueOC9Ngae+vQk3vdSMEZ0FGckyPHn5BmwqzmBeQ9IRo6Oj6Orq8qov8YVIJMKpNStwQlUWXjw0hl/+twddk0b0Tptw0aYCPLF3ABaHC50/Pw0GkwX7BufwfucsNHNWyCQiyCRiNI4a0DaxgMaxeWwOkEow2134wctt6Jg0YlBrhkwiwtP7RkHRwJDWgkuebsBNJ5fhih1FnNB9NPyzcQLTRjvueKMLu2uycXh4Dje+5B2BOatuPRwmAyYnJ9HT08NYBmdlZfktYE2R0uiZsQAA0pXuR8ZJ1Vk4pVqNvb06r/kQNID3OmZw5c7AvdfhQNM03u2YQW2uChXZybz2jItEIqSmpiI1NRWlpaVwuVzMYtff3w+LxcIMrwrFCXC5pgzCIRbphXhGCMxmM+PLcCxRXFzMsU6enJzE6aefjpNOOimkn084QQCAmUcfCPLGiSbvxB4SFGyCH9sfIBrYOXVflsB8Cw92TcSqVatQVFQEk8kUk7QE+d1aeoaQm6HCihUrvB6c77ZN+RUDADA5b8NFfzoIh4tGUaYSf/n2RpT7GHNM0zR6enqwefPmsCIdMokYawrcLXcqhQSbitNRlpWMP3wygENDcxjUmlGYKsVXalfgK7XcquJ73+7Ba02TeP6Qxq8gcFI0fvKvTnRMGgEAOpMDf/7C3R573roc6M1OfNavw28/GsSebi0eOHclyrKiNyBaW5CGN1unAQBbH/nc6/uXby3AnWdUuv8eKzKZqnzyEO/s7MTnGgfgo6TyD20A4I6SsH0GvrEpH3t7fQ+Yeqd9OiJBMKq3IFslh9JjLPNrTZP4xTu9qK/IxJ8uWxfTnbhEIuF0eHguduwaDbVazZkncqxGCILBR3oh3j4E4dqxLwckEglTp2W1WnH++eejrq4O9957b0g/n5CCIBRItazT6YyoAG9hYQFNTU0hDwniY6EmhZJms9krp04IdyhQIMiMAIPBwKmJIC6CfD68SP3FoZEFPNYkQl6KDZdu0OPagiLO8KDdtSvwly+GMaQ1ex3jwk35+E/LJBwuGmsL0vCnb23wai0k9xBw1wtEkut9q9Wd7z5jVQ6SZBLkp0twYpU7XfDPhnH86GTf7off2laI15omsad7FuMGKwrSubsemqbx8Pt9+KSPu0imKiS45+xqnLXabUD0RvMUHvmgH82aeXzjLw340all+Na2QohDbFfTzFnx/GEN5i0OWBxuy+DPAkx+BICuKSNsTgpJrIVWKpUyxkjt4/N45bNmcN0H3BSm0JArkpCqlOPsNW6R1DVpxN1v9TCvOW99LmpzU/DoBwMAgI5JI4a05rDEzrDOgnP+eBgA8Np1W5jCRIvDhf/7dBgAIP+yRTSeC6/nYkdqNDQaDTo7O6FSqZjFLp6LWrjEK3oRaXphKXwIjmWuueYaLCws4IMPPgj5775sBUE0lf+koj8cRz5/7n6hYjAY0NjYiPT0dK+cOhu+IhHsGQGeLYzkzcHXQ3VhYQFfHG7AAp2EVwelAJyYNFH4/b4ZvNj6Oa6uK8WlWwuhUkihTpHjf75ShR+81MI5Rnl2Mn52Vg2uqS/FoUE9zt+YjxQF9+05Pz+PhoYGZrZCJFXODheFd9unAABfW7fY8XDBpgJ80qvFpz0z+EaVxKd1cHVOCnaUZeDg0BxeOjKO23ZzjUieO6jBy0e5k84A4NSVWUhLksJkcyJFIcUFG/OwszwD97zdgwODc3j0gwF82DWLB86tAeDddjhrtOOjnlmIIMI3NuXh9S+jFOHQMDqPO97owm8vWu2VptCZ7LjltU6vtsMTylJx67YUjI2NQSQyIz1dhiSrFof6TLjl3/1YsC4W9XZNGnH/OSvxSa+O8TJ4t30GN54Uuo1xVsriZ+KiPx/Fq9/djNo8FV44rGEcFIsyF335l2InLhaLkZGRwdRoOBwOTpTFbrdDLBZjdHSUKU5MlIjBUqUzQk0v2Gy2iOamREKsiwqXmgceeADvvfceDh06FNaI54QUBOFMPAxn8WRX9G/cuDEso4lIxQdN0xgdHUV3d3dILX7RCg9g0YK4tLSU0/PPPgfAT4iOnOsfw8k4MLpYra+Si6CQijGzYMej7/fiyU8H8a3txbhiZzHWFKShMCMJmjm34dOFG/Nx19k1SFFIkZqkQnWO9weVTHqsqKhAUVERpqenI8oj7xvQYc7sQFaKHDvLF8f1rP3SXGdIa8b4xCT6+vp8Wgd/e1shDg7N4Z9Nk/jeiaX4vF8Hg8WJdzumcXjYdyrkzdZpvNk6DYnIXeC4uSQdW4rT8dB5tfioZxa//nAADaPzuPTpBvzqtHQolcD0gg0fds3ig65ZHB0xMPv2E6sycfHmfLzXOYNhnTuvf/GmfHRNGZk5BWw+uWUnBrRm3PBiKz7q0eKh9/vw/85cFMFOisaP/9WJyXmb18/+cHc1VuapMDk5iVWrVsFms2F/3zQePbAAq0uEGrUU/+/0Ylz5yiB6pk3QGu144NwaXPjno1iwOvFO+zS+d2Lg2g42KoUUj55fi5+80eX+vZ5uwGPfWI2/7lt0JFXKxNCbHQkTmpfJZMjNzUVubi7zWR8dHYVWq0V/fz9kMhnnPRQPq3V/JEp9g7/0gl6vh8FggFarjbk5UqzbDpeS1157Dffddx/efffdsF0OE1IQhEo4rYcmkwlNTU3MQKRwPc8jEQSkN352djZojQIhmghBqBbE5KEQjfCgaRq9vb0YGRnB+vXrUWzW4sCohfm+0U7j+W8Uod2UjD9/7k4R/PHTQfzx00HmNSkKCX5xziqcu97/xEhSKzA6OspMeiR/80iKkN5qcacLzl6by9gj0zQN4/QoZGLAQYmQU7EaxRkKjnWw3W5HRkYGytVqFKUrMGaw4eTf7YfVGfgepsglOK0mCw0jBmgMNnRMGtExaWR2+D88pQyvX78F17/YilG9Fe0zdnw47MBrHaNewfsdZRnITVVAJBLhuSs24Acvt6NtYgFvtU3hZ2dWMYJgZ3kGZo12XLQxH+oUOdQpcjz09Vr8+PVOvHx0AnmpCly7y50W+e2eAb9C5pKnG9D6/9zFSElJScjKzsY/3p2C1SXCpoIU/M/OVFj0EyhOoTFiEuHNQ73YWJaNDKUUC1YnhnQW9M+aOSZIgaBpGkdHuNdyyz+5BlR//mIULx2dwC9OVqNYtfSCgI1IJIJcLkdSUhI2btwIl8vFDGYiBlKpqamMQEhLS4urqEkUQcCGnV5YWFhAeno6kpOTY26OdKxGCNra2nDFFVfgjjvuwJo1azA56X7eyeXykNafZS0ISOthMCYnJ9HW1obCwkLU1NRE9KEIVxCYTCY0NjZCJpOhvr4+5PB2pBGCcCyIyQcqUkHgcDjQ3NwMi8WCnTt3QqVS4eItSXi1YZzzugWbE9/YXIgLNhbg1aMa/PytLuZ7awpS8djF61Ci9p9j9nUe9vWHGyGw2F34sMvtc3DOl+kCMlvBaDSiIjsZ3dNmDGrNKM9OYQrLyEherVYLrVaL7ZkWjBnEQcUAAFxdV4QbTnCHzSfnbdjbo8WD7/Ux35812lGUocT20gyM6iehWaDQoXWCBlCSmQSlTILuaROS5RLcd85K5ndXp8jx9LfX47bXOvDFgB4/f3sxn//o+auQmczdiZ6xagXuOMOOh9/vx+/3DmFFqhwSsQh/D5J6eKttCiSIKxaJ8PjFq/HkZyP4f2dVQSmTgKZplA20YqR/Do8d0AEHuLUMf903gvvOrYU0hG6Kx/cO4eUG75SLJwtWJ37+8SzuOzkT3rYvSws7ciGRuFNPpOiVGEgRcyQgvnMEElEQsHG5XJDJZF5uk6T+gC9zJDJILJxQ+nLhyJEjMJvNeOCBB/DAAw8wX1+2bYfhEGyRpigK3d3d0Gg0WLt2LcclL5Jz2WzeYVVfEJveoqIirFy5MqwPYSRFheFaEBOv9UgEwcLCAhoaGpCamoqdO3cyIdD1hWlYmZOCnmkT89onD+uwfT0gEYvw1OdDzNeLM5V46bvbOMWGnpAxzCkpKZzzkOsHwhcEH/fMwmx3oShTiQ1FaTCbzWhoaIBCoUBdXR2qp7vQPW3GwKwFp9Us/hx7JG9JSQksaVq8PtQe0jnTkxavOy9NgQFWMWVxZhJuOc3dM1yR7RZGmgUnthcmoWvWDquDwvSCO3d+++5yryLGZLkET1yyBve81YO32qaZr89ZHF6CAHAXRU7N2/DMgTHc+3YvnJ79ggBEAP5+1UZ8+9kmAMBP/92N3+9avOdFGUqm1uHIyBzuf7ePMwJZJhFhZ2kqJJQTe4fM+E/bDLrHZnHnybmoKlzh1xHw6X2j+MuXqYF7vlqNM1ev8GmSdM9Xq3Hfu71YsFP4xWd6VFdZULpE9sm+CORUyDaQommaKU4klfikBZSEyvkusFsOgsDzdyZuk3ybIx2rEYKrrroq6BCmQCSkIAg1JCSVSv2mDCwWC5qamkBRFC9De0IJ5VMUhd7eXoyOjkYsQMKNRJBe/HAtiCMRHiSPX15ejsrKSs65RCIRvrG5EL/87+JO9YsRC44M67G1NBM7y9V4rXEcN51SjptPDZzXmp6eRktLi9fcA/a5gPAFwX9JMeHaXOh0OjQ1NaGgoICJGlV82d446KMDgjCqt+Cnb7p/x+2l6fjjN9di1mDE+U+3wOLwvp5UBfcB/I8ji1GUyuxkpr1uURC4cN3WZDzXPI/pLwvpdpZn4OJNvoecyCRiPHheDbJVcmZSodnu/f4x213Qmuw4rSYLLzdM+HwNAFyyOR8bCtPwPEsUPNRA419bvV/7r+YpjhgAgD9fvh5bStzdLO+2T+Pet3vQM0fhR+9O4aqaKdSkU8jMzGTC5kqlEi8fHcdjH7tTSbfvLsfFm92/66vf3YxvPdvIKXY8f0Munt4/Cs2cFXNWCte+0IK/XbHBSywtFaE6FYpEIk4lvsPhYHbC3d3dsNvtSE9Pj3q6pee1JbIgCJYC5NMcyWQyHbM1BNGQkIIgVPwtnsT0Jzc3F6tWreJFaQcL5dtsNjQ1NcHhcHDC2+ES6kJNCiSnp6fD7sUP5zyA7zy+L76+IR+//rAPdlYo/Vt/PYq2e07Dg19fhQe/virgQ42maQwMDGBgYABr1671O+krkpSH00Vh/4A7nL0mw4WGhgbGl4FQ9WWbW9uEEX8/NIavrs5BtmqxO0NvduDGl9qgMzuwKleFxy9eAycF3PHWoE8xAADDvZ1odE5ArVbjtwe5+fG9vTo0jBqwuTidEQQTRhfUSu779RdfWxnwvolFIty+uwIV2cnomjR6zRF4rXEC973b62Ug5ElOqhw/PNUdsdhQmIbK7GT0z5oxaRGhfdKEHVXc93RtbgreBHBCZSYkIhE+6dOhWTPPCIKvrsnB6vxU/Pj1DnRNmfBEK3DO6iwodE4stI7AZOnFwRkx2JmXUlYKqTZPhbvOqsY9rHSITCLGd+uKcd+7vQDcaZjvPu8WBTkJYCkd6SwDmUzGtICSFBVJL7CnW5L/IilOTHRBEG6Rs69hVuz0gkgk4thRk/QCSRnwESF48MEH8fbbb6OpqQlyuRxzc3NerxkZGcGNN96Ijz/+GCqVCldeeSUeeuihgNEMnU6Hm2++Gf/5z38gFotx0UUX4fe//33MoxrHlCAghW7Dw8M+TX/4PBcbYp+rVquxZcuWqKpiQ4lEEAtiYnkcSR4tVEFgt9vR3NwMq9UaVOhkJMtwxqoVeKt1ivP1a55rwN+v9rHFZMH2TNixY0fQ9qNwLX5bx+cxb3VCJRdBYhjDlq1bkZmZyXlN5ZcRgoFZMx79YACPfjCAlp+dCJFIBKvDhZtfacewzoKCdAX+cOkapCikePnoOJrG5v2e95Tt65FKm/Gvpgl81Gv1+v6VzzUjP02BiS+r/F00cHTcwnlNqLvfCzbkAT5GCDSMGvyKgbryDJxYpYY6WY4TKjORlrT43n312s3Y/LDb5Oj7/+zB0Tu5RarbSjIAAI2j8/j+SaX4pE+HfQN6XFNXDACYWbDh3y2TuPur1XizdQovH53AWx3sGgPvh/+fP+5ClbKEadm7YGMe7nuXm974+vpc/GFvP7QW9/t3bM6KS55uwElVauwsz8T20gyOkIsnfMwyYKeoiouLmcmkOp0Ow8PDPosTQ1lIl4MgiGbzFiy9YLPZ8Prrr+Okk06CXC7npYbAbrfj4osvRl1dHZ5++mmv77tcLnzta19DXl4e9u3bh4mJCWYk8i9/+Uu/x/3Wt76FiYkJfPDBB3A4HLj66qtx/fXXB5yRwAcJKQgiaTskRXU2m82v6U80+BIE7HG7odjnhnqeQAs124KYbXkcLqEIgvn5eTQ2NiI1NRV1dXUhCZ1vbC70EgSHhuZAUTTEfgrLSC5fLpeHPPaZmCuFyqfd7mLC2kwxdtXv9NllUqJOhkQkgot13LfapnH2mhzc+e8uNGvmkZokxR+/uY4ZcFRXnomijCSMzXkv9puK0rCqUA2RKAv2bgeAMa/XAGDEAOHBz7iFeX0zprAq9b8Y0KNn2oRLNufD7qQYB0OCOkWGb20txKVb8jnOg57IJGL87qLVuPW1Dly0wbtFd2VuCtKSpJi3OpmahYZRAywOF1o1C/jJG53QmhyYMNjw0NdrcVKlGp/16yGVuFtSn2a1EwJATU4yfnJSFtOyRyqjn7mkAt95qR+AO/WRLJfg6zUp+GvTAqRiEdQpMkwv2PGv5in8q9n93qvOScHOsgzsLMvAlpJ0L0+LWBGLaYdisZjZ5QLuZx2JHrS2toKiKE70wF8HFZlhkqjwaV3smV5wOBzo7OyE0+nEAw88ALvdjm984xs466yzcMYZZ2DTpk0RnfsXv/gFAODZZ5/1+f33338fHR0d+PDDD5Gbm4uNGzfi/vvvxx133IF7773X57Ous7MT//3vf3H48GFs3ereSD3xxBM4++yz8etf/xoFBQVhX2eoJO67IwRI26FOp0NzczPUanVIRXWRnostCNg7WjJulw/IQuep5n1ZEEd7nkCCgN33X1FREbLQ2VGWiVK1kumRB9w+A/7QarVoampCfn4+amtrQ36YhhMhWFhYwH+b3RXK526r9PvAlEvFKMtORv/MYmHkz97sRk6qHHu63UOPHvl6LRPeB4AStRL/uXEb3mmbxp+/GMEQ6/duHJvHza+047cXrca19cX420HfgsAXKrkEhRlJ6J424e22afzo1MWBJf9pncJ7HTMoyEhCSaYSBosDp67MgtnhwhN7h9Aw6o5Y/O6jQa/j3v3VKpy3LpfjWBiI02uz8Xg9he3bi72+JxaJsKUkHR/3aDFjtDORjhtebEWzZp6JSpCiv5Oqs3BS9WJq6/pdJWifWEDVihSvIkh2y55legSZchp6uwjvH+3F7rWFOK1Ugdc6TTDYKFy/qwSFGUk4MDiHg0N6dE2Z0Dvt/u/vhzSQikVYX5iK89bl4iI/tRh8EY9phwqFAvn5+cjPzwdN08xOeGpqCj09PRz/DHah3XKIEMTq+mQyGdavX4+//vWvGBgYwNatW3HZZZfhww8/xKOPPgqJRIL33nuPWYD5Yv/+/Vi3bh2nBfzMM8/EjTfeiPb2dmzatMnnz2RkZHCu5fTTT4dYLMbBgwdxwQUX8HqNbJa9IJidncX4+DhqampQXFwcU39zIgiI7bEvF0A+zgNwP7z+LIijwd8Om+1lEKhewBfDWjNebxrniAF1igwPXbDG67Xs6EokAidUQTA1NYUDDS0YWnC/L06qdudo9/bMYm/PLK47oQxFmYsC4Tvbi3Dv292cY7RoFpCXpsDkvA3vd87gxCpuP69ULMJ563PxtbU5eL9zBk99MYK+GXex3Sd9Omx55HP85CtcV8Ng/HC1HQaRDN3TwFutU7hwQy6KMpUw2ly4/91eWBxcMffk5yNBj1lXnoFLNoe/uwj0kdpW6hYER4YNWJWnwsS8DY0eKZRNxb7TP8lyCbaVZvj8Hrtlr7q6Gts0bXi/212jkGmfAk3T+EqxDP/sA547OIY3v7cNJ1S6/y46kx2Hhg04OKTHnm4t9GYHGkbn0TQ2j3PW5fqd6sgHsYgQBEIkEiEtLQ1paWnMfApfhXZZWVmw2WwJW0hHURRomo6LdbHJZEJycjK+973v4cYbb4TT6cThw4dRW8t/E+vk5KSXHwz5N/EI8PUzns9dqVQKtVrt92f4IiEFQSiLut1ux8TEBKxWK2+LZCCIIBgfH0d7e3tYtsfh4GkaFMiCONrzeKZASL2AzWbjdGY4XRRj4uOJyebEex3TeL1xHIeH55ivpyrEqC+Q4dZzNnv9DDFs0mq1EUdXggkCdoGiNa0EFD2Kiuxk9M0Y8cNXWtCqcS9ayXIp7jizmvm5i7cU4D8tEzg6urioPb53CE9cvAY/fLUdb7RMYVdlJs5a7S2UJGIRvromB2euXoE93bO47bVO5nvE49+TLSXpXmY8F9SqcO4pNWgfngYaRzG5YMfZfzyCjCQx5qyRm0k1jvqvdfDEbHfh8b2DyEyWoQaAxUGhbUiPIa0FJ1dnMaONSR3BkZE5jkj5/oml+L/PhiERAesKorejlUrdC0VJYT5O3FGIlpYWnKxw4p99ZozorfjnR4ewrWIFsrKykJGaipOr1eiaMjL2yilyCe74SmVMxQCw9MONfBXakfTC3Nwc5ufnYTQamQgCn5uZaCDPu3iIKc/Rx1KpFHV1dcy/77zzTjzyyCMBj9HZ2RkTAbHUJKQgCAbpu5fJZEhLS4u5GCDY7XZ0dHSEvXMOB/KBcLlcQS2Ioz0PO2VA6gXS0tKwadMmJsz4euM4fvpGBwozkrCuMA3rCtKwrjANBRlKPP3FMP7dvNjCJhYBuyqzcNHmAqxMsUI/O+M1qdBqtaKxsRGAezhRpGYsgVIeLpcLra2tmJubw44dO/DrvW7znWGdBdc938R5bf+MkXtckQj3fLUaFz/dwGl3axgz4LpdJXjqixHc904v1n1pv+zz2kQifKV2BVp+lo1nDoyhYcSAA0NzsPkwMvIUAwBgd9G45Y1+ZiYAIZgYkElEWJOf6rfI0eqk0DNtYroQDBYH5q1OGG0uLFidWLA5sWB1YlBrwV/3s/P7YuCLRuZfvTMm3HWWW0Sx6wjYKOXu93FtngrJ8uh3fcSPITdNAbFYDJlMhoZxMQAzclQybK8pgnl+Di0tLWjX0Xh1QIxps/t+7a7Jwp1nVDEiJpbEI2UQDqTQrqioiKkHEolEGB0dRUdHB1QqFSMO/HlExAOyOYlHhMBsNgccinb77bcH7eWvqAgt4peXl+c1an5qaor5nr+fmZ7m1v2Q1Hg0XjqhsKwEAU3TGBkZQU9PD6qqqqBQKBj3qlhitVrR0dEBiqJwwgknRDRhL1SIaVB/fz8mJycDWhBHA3tBJVEPX/UCEwZ3sZxmzgrNnBX/bZ/2ebwLNubjltMqkfdlRbxGo/FasEk3RnZ2NlavXh3Vh99fhIB0YEgkEtTV1UGhUODzfvcgJRdFQyEV4/JtRTipOgtXP9eIfQM6aI12ZLGq0suylPj+SWVMbzwAPLN/DE9/az0ODOnRolnAT//dhb9+Z0NABz6RSIRr6opxTV0xuqeMuPyZRq8BQr54u9eElAgW0R/W56IkJwM/CtD18N3nm/Hny9fjjZZJvHB43O/rAjFpsOHjHi2SZO7FQyZx34N0pRQGi1sY/GaP+95t8jMmOlymFtyFlzmp7r+TwerCK21uMfXDU8tRXpyHWeMK/K2nH+92zACgkJkkwkVlTuwsMsI4PQqd051Tj+WiF6+wdyTQNA2VSoW8vDxUVlbCbrcz0YP29na4XC5kZGRwPCLiJW6IkIqHICEeBP5+N3aEJVrq6urw4IMPYnp6mtlEfvDBB0hLS8Pq1av9/szc3ByOHj2KLVu2AAA++ugjUBSFHTt28HJd/khIQeDrD+V0OtHW1ga9Xs/MBZienuZlMmAgSNFbVlYWFhYWwp6BEC52u505bzR+BsEgKYPOzk5oNBq/w55W5YfWrfFW6yRuPGmx8M1zwR4bG0NnZyeqq6tRWlrKS2uWpyDQ6/VobGxETk4OVq9ezTxclDIJ5FIxvrm1ENedUMb0q68vTEOLZh7/ahrHtSeUMceZMzvga53/7gstSFW4H/aNY/PY9NBnuPfs6pAK1WpyVbhtdwUefr8/pN/PxDIOOm1lFkqzlHhmf+CixN98NokLy8YBiFFfkgwrJUbDGDcCMmdx4rsvtHh5FYTDJ306rxHPABgxwGazn/qBcKBpejFC8OXf7vVuC0wOGkqZGOlJMvz5ixE8c2AMC1YnxCLg8q2FuOnkUsjFNLPodXR0wOVyMb3pWVlZvH+eEy1CwMazqFAulyMvLw95eXlMb75Wq8XMzAx6e3uhUCg4g5li2aEQz7HRnimDaBgZGWF8D1wuF5qamgAAVVVVUKlUOOOMM7B69Wp85zvfwaOPPorJyUncdddd+MEPfgCFwv1ePnToEK644grs2bMHhYWFWLVqFc466yxcd911ePLJJ+FwOHDTTTfhm9/8Zkw7DIAEFQSeLCwsoLGxEUqlEvX19cyNDGe4Ubiwc9CrVq1CTk4OJicneW2N8YSkQkQiEdauXRtzE4qRkRGIxWK/To5GmxP/+7F37lsuFePSLYXYXpaJ/7RM4P1Od0ufitXaRSIQFEWhq6sLExMTERko+cOf4PDV/vnyddsAGlAlcd/ul2wpRItmHq82jOOa+lIcHZnDS0fG8F7HNBx+dvILNq4AvfedXnxtbU5IVfsnValDFgRsPurR+vy6OkUGncnB+ZojJQfALNQyF0qTjGgY4z5ks1Jk0Joc6J4y4jcXroJYJELbxIJXC6AvfnhKGZQyCdonFtA/a4bLh7kB27oaAFPoFw0Gi5NJt/zli1EcHNJDY3BHDCwOCje/umgjvSpXhZ+fXY01BYtClj2N0HPR8zXRMhqWuoYgEIG6DEQiEVQqFVQqFUpLS+FyuZjixP7+flgsFqSlpTFCiq8hQ+xri1dkhc9Jh/fccw/+9re/Mf8mXQMff/wxTjnlFEgkErz11lu48cYbmefslVdeifvuu49zPd3d3XA4Fj/LL7zwAm666Sbs3r2bMSZ6/PHHebnmQCSsICAPfPKg91XEF+pwo3BxOBzMwBtikkPOE615hj/YFsTDw8MxfagYDAbodDoolUrs3LnTp/K3Oly48cVmtE94j9S979xaXLDRrVT/ftC9kFyypZATdicRiCNHjsDhcKCuro7XVAuZxUC6IjQaDTZt2oTs7Gyv16r89KCfvTYXv/xvD4a0Zux+7AuMGxa9BGpzUzBrdMDscGFbSbrPHTHh1N8fwNU7i3H9Ce4Jgg4XhfYJIwCaKaj75Xt9eCWEwT3h4CkGAOA/7bMAgLO3VqO+PB0fTB1Fz6z790qR0rhnuwx/ahOjY8aGe97qwR+/uZYTDVlXkIpLNufj7rcW3QHlYhq/v6gWJ6wMLXX1y/f68I8j41BIxeidNmF9YXRRAnZ9wuvN3CprpUyMkkwlStRK7CjLwEWb8v2mcTwXPafT6TXRMlq74ERu7Qvn2iQSCTPcC3Cn4tiDmYgLILlXZJMWKfGOEPAlCJ599lm/HgSE0tJSvPPOO36/f8opp3hFO9VqdcxNiHyRsIKAVKJPT0/7fdBHMpI4GKS4TqVSob6+nrEIZRf78YkvC2KNRhOzVIhGo0FHRwdSUtzT/HyJAbuTws0vt+DQkN7nMd7rmMYFGwtweEiPQ0N6yCQiXMcKuQPuBwixB42FN4RYLIbD4UBDQwMzDTGUD/mo3gJ1sgwpCilSFFKcuy4PLx/VYNxgRbJcgq+tzcWF63OwpiAVJrsL//vJEP7ZGLjVx2hz4YlPhiASAYeH59A0Ns9U3OekylFXnol/t0z5/fmCdAWu3lmMNKUUd7zR5fd1oSIWuecfSCRiXH9SOX78eieUMjF+fX41sqU23J6kx8P7rOg1uHDlc83MmOUbTijBD04qhd1FcwTB9bUUtoQQ+ndRNA4M6nH1ziKMz1nxSZ8ON7/Sjheu3oiijMhD88WZSfjWtgJML9gxa7QzbY0PnZGPr22NvNNHKpVyJlpaLBZotVovu+CsrCxkZmaGZBe8XCMEwVAqlSgsLOS4AGq1Wmg0GnR2diIlJYVTnBjupilWGy1fHKuDjfggIQUBTdM4ePAgRCIRdu3a5bcSnQgCvj6EJBrhq7hOJBLxLkD8WRBHMngoGGTy4/j4ODZt2oSpqSmfRXlOF4Ufv9aGT3sXw9TsYjEA+Lh7Fr3TRvzhE3fh2EWbCpDPstclVqFSqRQbNmyIyQOSRAbS0tK8piH6o3faiHP+cAAAcPfZNfjW9iL88LQKQASszkvFOevzkCwTw263w+6kcM3zLeicNAY56iKP7x1i/n+GUgoX7a6ODyQGAOCKHUX45tYCJvUSLRTt9k7omjIyER6Lg8KNr3ZDKhbh5Go1vntyLV46MoqmcTMkIuDSCgqbkmbx+//O4z893LB/iSo0A6g3W6aYuQNlWUqkyCXQmR34/ktt+PuVGwO6IgZCJBLhzjOqAABX/K0JAJCuEKFPZ8OREQNW56midiIUiURMRX5xcTFcLhcMBgO0Wi0GBwfR3t6OtLQ0ZtHzFzKPtw9BOPAVvWC7AFZUVMDhcDDRg87OTjgcDk5xYnJyctBnQDxTBoIg8E9CCgKRSIRVq1YF9egmu06XyxXVDpTs0qempvxGIwB+F+pAFsShzDMIBzJ4yel0MqH7mZkZr9+Fomjc9WYn3uuYhkwiQl2FGp/2arEyR4UhnRkzC3ZGHNzxr3a0jy9AJhHh+hPLACzOkhgZGUFlZSXGxsZiIgZmZmZgMpmQnZ2NzZs3h3wO9vCb+9/pxpstE7j/vNW479xVzNfJPfnl+/1hiQHCnWdUYntpBipXJMPpovF5vw7vtM/gvQCL/Tvt09hdk41HP1isLyC5/ki56u/NPr/upGjs6dZiT7eWaQe88aRSWGwO/PjTSRjt3pMef3JIisMnBr/HO8ozmP8/pF00pxrUWnDbax148rJ1kPnxswgV0uJqsNF4+ogOTx/RQQSgPDsZa/JV2FiYho3F6ahakQxxFO89iUTCsQu2Wq3Q6XTQarUYHh5m7IQ9+/mXU1EhX8hkMk6dhtlshlarZSyoQ4m0xDNlYDKZeKtlOtZISEEAuHMowRZfoiijEQRms5kp5Kuvrw9YdcxHhCAUC+Jg8wzCwWAwoLGxERkZGZzBS75Ex3ud0/hXkzvP/fAFa7ChMA2n/34fGkYNOLEqC3sXZrE6Pw37B3RoH3fvPC/YWIDCDCVTd2EymbBz5044nU7eW0LZ7oZKpRL5+flhPXzTlTK8ct02XPLnwwCA5rF5nP/HA7hiZwluPqUCqiQpjEYjhoeH4bAu1hMkyyVYV5Dq5Qvgi+cOjqE4IwnVOSmQS0U4rSYbp9Vko/CjJKa3f3NxGmMvDLh389/4y1EYLE4Upkrw4GlZ2LymBt99oQWHh719CggqhQR5aQrGFdEfBekKjBtsuLquCOeszcWbLVN4q22KERz/+8kw89rcVDm+d0IJ+iYNeKFxUcS8u68ZmypykZWVBZVK5fO+F6QnYd/t9TjvySOYNdk53zs0bMDJjx3AZ7fWQRKgVTMYf79qI5rH5vH+kW5M2GTo1zsxMW/DwKwZA7Nm/OfLuQ2pSVJsKEzF5uJ0bCxKw9qCVGbUdCQkJSWhoKAABQUFoCgK8/Pz0Gq1TD9/amoq1Go1HA7HcScI2LAHM5WUlHAsqEmkhdwrUpxInkXxjBCUlpbG5VzLjYQVBKEgFoshEokiXqSnp6fR2toaso9+tIIgVAtiviIRJAVSVVWFsrIyzoOK5ODZVK1IQZJMDKuDwr+bJ/CV2hVYmZOCnmkTnK4vnRNtTuwoz8TBQT2kYnd0wGg0oqGhAcnJyairq4NMJoPBYOA17UFRFNrb2zE7O4tt27ahp6cn5OMPa82YWrChVK3E+sI0/OU7m3Dt391GOxQNPLt/BJ/0zuK5S6vQ0tKCzMxMZIsXw+Z/OjcPb/TacDCEc40bbPjBK+34wyVrOL79A7Pu4/3P6RW4dEsBtj7yOefnDBYn0pKkuOdkNVLl7vf19tIMRhBcuiUfaQop9vRoMTDrFgCbitJx4cY83PpaR9BrAtxeCrsqMvH9k0pxy2nlePSDfvzjCNeLoDZXhfPW5+FsDyvkew/Y8PyKBQwPDzO7Z7I7Zu/4UpOk+OhHO/BG8xRnbDEALFid2PjQZzhvXQ4eOLcmooVTKZNgZ3km5Ho5CgoKkJeXh1mjHR0TC2gdX0Dj2DxaNPNYsDrxeb8en/e762CkYhFOqFTjkfNrozZKEovFyMjIQEZGBqefX6vVwmg0oqenB1qtlrk/kZpv8Ymv+SjxgG1BDbijlaROY2zM3UbrOXU01hAfAgFvElYQhPqwkEqlYbce0jSNvr4+DA0NYc2aNSH3dkYjCMKxII5WeLBb/fylQHxFCKpzVHjqWxtx/QtN+LRXi5tebsGuyiz0TJtgdrhfO2mw4lcXrUXDyBy+s6MYCscCDhxtQXFxMVauXMn83cKdRhgIm82GxsZG0DTNuBuGOsvA6aJw/pMHmVCzUiZGidpHt4PLiaamZqxduwbpGZn48SdHALjfV995TRP2Na/MXXzgGCwOJiLwqw8H8KsPfdsY/8/pFchJMTJ/F515UbDlpSlwbX0JfnhqOR54txcvN0ygOicFu2uycPXOIjxzgOtRIBWLOCODCde+0AqJCFiVl8rxIlBIxaBoGp/06XDV35sxtWBHTqocVdnJ2Dc4B4oGyqpXYY1czOTWh4aG0NHR4bMdTfqlWVGqQoK/XbERV/29mekWeLN1Guetz8WOssgXAvbfPlslx0nVWVhfmIbGsXmf7ZBOisYXAzosWJ28OCeyYffzm81m5OS452WQWprk5GTm/kRScMcH5H4tdX2DQqFgIi1kMJNWq8X4+DhsNhsOHDjA3KuMjIyY3CuhhsA/CSsIQiXcxZP49Vut1rDHJEe6UIdrQRxNhMBXvUA459hRruaIgu4pdx69e8qIN763AzW5KojFIjT87BSMDA2iubkZa9euRX4+15yHtAVGC0l5ZGZmYu3atcwDIlTBIRGLkK2SY+TLgUsWB8X8TmxOyXNg+/ZtUKak4vZ/tjK76kjIS1MgL21xV/jL9/q8rH3ZJMsluOXUcnxtbQ6GBxevjd3Tzy7q7P1yGmPVCnex1um12RxBcPdXq3DJ5gLYnBTu+k83/tuxGPrPTZVjasGOtokFtLFaSm1OChsK09CsmUfrl+mg63eV4Jy1K7Dz1/sBADe/2o5nv7MBmZmZyMzMRFVVFSe3Tnwt0jLUePwjtwC6pq4Y1Tkp2HvLTvx1/yiePTCG02qysSovuvHkvgqJdWYHjo4YfAqh+opMfO+EEuTGwb44OTkZK1asQFlZGRwOB/R6PbRaLVNwx27Xi6XrKZt4zgoIFfZgJoqiYLfbkZ2dDa1Wi+7ubl7aQH3Bpw/BscZxJQiI8U96ejrq6urCrjsIt9iPoij09vZidHQ0LAviSIsK5+bm0NjYCLVazVk8/Z3D34LNFgVT8+6F0WRzQWe2QywWwel0oqOtjZkVkJbm3ZLGR4SAjGCurKxEeXm5V9dHKMcXiUT4xqYC/HZPP9YXpuFbO4pxx+vtXq/7R58IX5kHnnijCfsHfbdbhsrk/KKY+G/HDN5p5xYU5qUp8P2TSvFB5yw+69fhhMpMXLaVG6WiaZojCPRfRgtomkbvl18nO/x9A9zrXfulu6RCKsbDX69F95QRg18W+f3psnVIlkvQMDqPxlED9g/qMaJ310s0a7iWxxdsyINU7PYvMDlFODpigIuiOTUAnrl1g8GAv+0fwaTRgTQZjVXSKQwOunDei+76ifvPWYnzN0Tvx+5LEFRkJ+OlazZhb68WBwbd7Z9EHOwb0GPfgB41OSnYWZ6JTUVpOHllVkDr6UjwLCqUyWTIyclhogYmkwk6nc7LDZDsiGPlBpiIgoANqQMjtsG+2kDJxD/yX6SDmYQIgX+OCUEQLGVA0zRGR0fR3d0dlXVuOEZIdrsdTU1NsNlsYVsQR1JUGK41cLAoBFsUWL/sqf+oawab8pVobGyEVCoNmPoggiCSllCS0hkeHvY7SCpUQQAA528swGMf9aNFM48WDzFwRrkCM04FGkfncfnTR/weo+mnJ+Lqvzd7jfYFgOwUGR44sxgZIhMe3DuNJDGFxsZGiJMzcP+77hz99btK8P2TSjmL6apcFT7r1+GjL0f0ZibLmHs1tWBjJvUBYBa2qQU745ZIFrMTK9X4w6eLhYFlWYu7TolYhKe/tR6nPe6ugDj/qaM4e80KXLAhD1fXFePoqP+ixbfbp3H26mxcWkHhrz1ucfnEJ0O45dRyn68Xi8WQJafi9W53jcNNp1SgvEiCZw4splz00xOYnASysrJCahX1h7/3VU2uCjW5KtxwQinMdhcaRg04MDiHA4N6dE+bmP/+dhDYVZGJX12wCqlJ/D0GA7Udso2RSMGd56jijIwMJmTO144YWBQEiVrw6HK5OOZGnm2gFEUxxYkjIyOcQs6srKygHWkEIsrCiQwfTySsIAinhiDQIu10OtHe3g6dTsfMQIiUUEP5JMydnp4ekSlPOBECiqLQ2dmJycnJsKyBQ/ldPEXBB51TqFOMoaCgIGgRJvn7hSsInE4n4xIZSEiFIwgyk2XwEUVGQaoUj1xWh2982XVAXvt/l67BDf9o44T5n/p8xKcYAIBZkwPfe32xLuCaHQWQpsjw8F4N5q0ulKQCu/NsmNPrOHlRJ0VD9OX/DussyEx2L5Du6AC3c4AICaVMzLR+XvZMI368uwIXb+amaz7r1+HMVe65FAaLA/e+08v5/jvt3lELX9zzVg/ueasHwGKk6el9o34FAQA8e2AMerMDZWolLt5aBLPdhZc6+5jvn1SRxjzQSV9/JFa4obyvkuUSnFCpZuyTZ412HBp2i4N32mfwxYAe3/lbE/730jVRGSexCaft0NMNkD2qeGhoiFOQF6oxUqDrIkXYiUiwgkfS5kme3zabjblXra2toCiKk4oJ1C1mNpuFCIEfElYQhEqglIHRaGTGJLNnIMTiXAS2BbFnZX+oiMViZshRIEixHUVRQVsmfZ0jFHGzo1yNP12+Ede/0AiT1Y6amloUFxeHdHwgvFYns9mMhoYGKBQK7Ny5M2BIMNTrt9hduOnlFu+fFwG/vXQjkhVS9M8shuZfuHoLCtOksDi4f+f/+2zY8xB++evBCfyV1ZJw9xnlEMOErq4uOBwOd7hTlYHb3h4HDffwog2F3B3L9AK3hkH65ftIZ3bgmrpi/O6jQVgcFO7/bx/u/28f57U/fr0TxdckYXV+Kq58rhn9s4HbEoORJKEhFktg/jJSNLNgw4pU78/SzIINzx101zL88NQySMUiXPvC4r1/8aqNqCxMQ2VlJafanFjh+urrD0S4n61slRxnr8nB2Wty8M0tBbj5lXb0z5rxrWea8PuLV2NjUfSTGaMxJmKPKmbviNntepEKqES2VAbCdypUKBTIz89Hfn4+aJqG0WiEVqvF1NQUenp6kJSUxClOZG/K+OoyePDBB/H222+jqakJcrkcc3NznO83Nzfj4Ycfxueff47Z2VmUlZXhe9/7Hn70ox8FPG5ZWRmGh7nPm4ceegh33nln1NccjGNWEExOTqKtrQ3FxcWorq7m5cMQSBD4siCO5jzBFjtSL5CVlYU1a9aEXY0bao6foiikmDS4f7sIq1avR3FxaHUQ5GEVauqDTJUMtQU0lAjBgtWJb/7lMPpmTF7fu3ZXGTYVZwAArqorQc+UEQ9+fTXy0xWwWq34xdlVePiDwYDFgABQnqXEoNaCq+uKcGTYwBTksbnjv2M4Z20Ovr5uAwpSgJnZWdz9/igm5l1YoQSuWSPD3Nwc0tPTmfuW71H8ZnG6MDBrxoVPHUEIE5Txw1fb8dI1m32Kgfw0Ba6uK8Yv3+vz8ZPefL2Uwk8uqsPVL7SjZXwBpz1+EE9dvg47yjIY85/pBRtu+EcrLA4K6wpScXpNNvYP6hlzp7w0BdaxZhqwq83Zff3s6AE7HOy5+EXrTro6PxUvXr0JN7/ajs5JI655vgX3nbMS56yNbtQ4X8ZE7B1xVVWVXwFF/gu22TnWBAEbkUiE1NRUpKamoqysjDOjgqRiFAoF3n33XZx55pm81RDY7XZcfPHFqKurw9NPP+31/aNHjyInJwfPP/88iouLsW/fPlx//fWQSCS46aabAh77vvvuw3XXXcf8O14pjoQVBJG2HRJL27GxMaxbty7kQr5QkEgkXr37ANeCuK6uLuqRqsFSBiQKEU09RCg7bKvVisZGd7/+mSfXh9VPTR4+oYiOkZERdHd3o7Y2tOgDEFgQ6M12uCgau371mc/vr8xJwc2nVjD//ulZK5lrJQOTzqzNwrbiNFz3UjuGdFafxwHAFOtduCEPt53mPqbZ7sKLRzT4x5FxOF00dCYHnjuowXMHNVibn4pZkx2T8y7IJSI88NVSyGFi5tErFArIZDLkFXEfju+2z2BvjxYuerFTwB/qFBmmFuw4+/8Ocb7+/86swkPv92Fi3saIgZLMJKao0B8fasS4QyRiWk8B4PoXW1GSmYRvbMrHlpJ0/ORfndAYbMhRyfHAuTWwOChc/2Ir8/q/fGu93+N79vWTcLBWq2XcLj2jB3y0tOamKfDsdzbgZ292YU+3Fj/9dzeGtBZ8/6TSiF0OYzXLwFNAec4SUKlUnFkCnot/PJ0AI4FPwcKeUQG4n8/t7e1oaGjAU089haSkJPzkJz/BeeedhzPOOCPiNeIXv/gFAPgdbnTNNddw/l1RUYH9+/fj9ddfDyoIUlNTkZcXffFtuCSsIAgV9q7darWiubmZma7Hd2uJRCKB1cp9eJKdbW5uLlavXs1bJMLXYk3qBaampqKOQgQTBNFGIEKJELD9EsKt7/AnCAZmTfjqE/u9vn7Z6mT8o8MMqViEhy9YA7mU+3eiaRoulwsURcHiEqF5bAFNo3PITVUEFASEDJZPf7JcgmvrS3BtfQkcLgqf9+vxRvMkPu3TcVr9fnZmFepX5TPnJ6Y2DRoT/v5REwDuwkIGJgUSAwCg+NIemLye4KRo/ObC1Rwjo2BiAAC2ZNPQmx0cR0SVQoIRvRW//WiQ89q/XbkBRRlKPMIa8/zV1StQqg5dJLPDwf5cAe12O8xmMzIzM6NagJPlEvz2otX4/cdD+Ov+Ufzp8xGMzVnx0HmRGSfFY5aB5ywBYoyk0+kYYcmOHiiVyoSesQDEdriRUqnE1q1b8fbbb2NkZARbtmxBRUUFHn/8cVx11VVYv349nnnmGWzcuDEm52djMBhCes49/PDDuP/++1FSUoLLL78ct956a8w6UNgcE4KADNdoampCdnY2x6KXT9g791AsiPk4D8FqtaKpqQkURfEWhfC3WIfbseALkUgUcBdPujAcDkfY9Q/k+L6uP0nKfaisUwO/OLMEbw8DwAjOW5+HNQWLoWuKotEztYC32yYxPW9Di2YBA9rwc+4n/m4/fn52Nb6xiVvgJ5OIcerKLJy6MgvdU0Z84y8NzPfOW7+4M+mYNOKbf21k/4ZhnV8mEeFHp5Tj13sGMDHPrT+4blcx/vzFKB75oB9fXb0irOMCwFcKKRwZWSyovGJHIX5wUhke/aAfrzVxJ0He9HI7TluZhecPL3YW3LbbfxFiMHy5ApI+9f7+fgwODjILX1ZWVkStaGKRCLeeVo6yLCXue6cXb7dN4/z1udhZHr5x0lLMMmAbI/nKpyuVSiQnJ4OiqLhaBIdDvIYbORwOUBSFhx56CGKxGDMzM/jwww95fX77Y9++fXj55Zfx9ttvB3zdD3/4Q2zevBlqtRr79u3DT3/6U0xMTOC3v/1tzK8xYQVBqB8qsViMubk5jI+Po6amBsXFxTH7QJKde6gWxNGeh6DX69HU1BTxbt0XvgQBeyJitBEIf+cAgIWFBTQ0NCAtLS3i0cj+xEZBBjetce0JpVhTW42ff+oOn++scKtzmqaxr1+Ha/7e6HWMSPnFO714pWEcl28pgFgsRlmW2yoZcO/OH2LtmgHgsz4dxuaseL9z1ssDwJNUhYRpN2RzVk0mPuqbg91FM4ZFbG47rRzf3FqAl49OYN7qxLsd4U9UPDwrgs4wy/z7vHW56Joy4p32aa/X9s+aOXUL395eyDFpiha5XI78/Hz09/dj7dq1EIlETGqhs7OTU3jnq/YgEBdsyEP7+AJebpjAKw0TYQsC0ma7lDtxX/l0vV6PsbEx2Gw2fPbZZ2FPIowH8UppGI1GTjvnihUrcNlllzHfv/POO/HII48EPEZnZydqa2vDOm9bWxu+/vWv4+c//znOOOOMgK+97bbbmP+/fv16yOVy3HDDDXjooYeiLowPRsIKglBwOByYmpqCyWTC9u3bkZGREdPzSSQS2O127N+/PyQL4khhL6Qkv75y5UqUlJTw9uH1jEKQHbvdbg/ocBjuOTwX7enpaTQ3N6OsrAxVVZHPsvdXZ0FRFP567gpc8x/3wvejN4fxUWUR2sfdC262So5ND37MWBnzTeekCXe/7W7zE4uAT27ZiYxkOfYN6HF0xN3zn5ksg97swI/+6T2DYEWyBD+rT0WnJQ1PfbE4T8CXGACASpkelauAP7TBa8yyUibGJZvzoZRJcPaaHLx01O2J8MC5K7GrQo0JgxU/eKWdMT3yx1sjYpidOubfKQoJnvpixCsl4YlMIsK19aHVhIQLWXjT0tI4oXNSeNfc7J72SCIHoUYPLtlSgJcbJvBxj9ZvN0WgawISq9efmP04nU5QFIXa2lqmPqO/vx9yuZwRB5mZmXEJS/siXpELIgj8cfvtt+Oqq64KeIyKioqA3/eko6MDu3fvxvXXX4+77rorrJ8FgB07dsDpdGJoaAg1NTVh/3w4LFtBsLCw4DZ/+TKfFmsxQM5pMBhQXl7O8e3nG2K21NbWhunp6aj9E3zBFh3z8/NobGyMasfuC3ZYn6ZpDAwMYGBgAOvWrYu6YMZXhMBut7uLO10uXLmjEH876A5bn/a7L5jXXPMcfxGBYJyzZgWUEhp2ux21K5KgTpZBZ3ZwFuCyLCVOrsrC3w6OQSICnvhaHuxWK17+YtznMf/67fWQS8X47Z4BNIzOo7SqBjvyZXiupwMLdu4CbXFQuPmVdjxxyRrksboWanJUyFbJYXNSSEuSBhUEZif3ff7VPxz2es1lWwtwSnUWUhQSpMjd/2WlyL1qNfjE8/NHogekFY3UHrCjB2q1GhpbEl7vmINYJIJMIoJcIoZCKoZM6v5fEo15rWkS3zsx9Kl4iTIvwBckJE8mERYXFzOTCIk4sFgsHKtgf1MtY3l9sYbYFvv7vYhTIl+0t7fjtNNOw5VXXokHH3wwomM0NTVBLBb7NGjjm4QVBIHeiOPj42hvb0dZWRlSUlK8ejb5hlgQj4yMICkpKeYqzel0wmq1YmFhAfX14VX3hwrZvRN74IqKClRUVPD6ACCiw+Vyoa2tDXq93q/Vcbh4CgKj0YijR48iLS0N69atwwYXGEEQjPvPrcHd/+mO+poIGUoZ7v5qNc5Ylc10LWQmy/DIedX43ssd3LZBGkzB3dqCNCTLxHi/x8qZXUAoUyuxrTQDAJCqcH90TXYKaRmZXmKAcHjEgG89fQhy2eJH/eKnG/DS1Zvwg1famBHIoZIil8BJ0bA5uefb0z2LH++uiKkAYBOsml8kEvksvNNqtfjdxxr0+TdoZPisXxeRIEikCAHBVxW/5yRCi8XC3CNijORvqiWfxHMSI5+TDkdGRhjnRJfLhaamJgBAVVUVVCoV2tracNppp+HMM8/EbbfdhslJd72NRCJhRMehQ4dwxRVXYM+ePSgsLMT+/ftx8OBBnHrqqUhNTcX+/ftx66234tvf/nZcpkImrCDwBbsqfePGjVixYgVmZmaimgwYDPYwpDVr1qCvL7Te7UjR6/Voa2sDAGzfvj1mqpk8tNrb2/3aA/NxDpvNhoMHD0IsFqOuro63HBg7+jAzM4Pm5maUlpYyaQipFLjnazW47+3gCz2fYiAvTYFXrt2KbJU7PE3+fhRFYXu5GreeVo5f71mszB/SWXDfu+4Uw/aydDgp4M0ei89jn7pysaZD9aXdrsnmwu8+4k5PJCmJG08owYtHNOjXO0EmNxKu/HsTbM7wW/cO/M8u0DQNg8WJE3+32M0xvWDHv5oncemW0CaHRku4bYek8G5FTi40b38BgMLl69JA2S0wWqwQS+WQKZQQy5MgEkvhpIAzwyzATGR74FBqG5RKJQoLC1FYWMjMpdDpdBgeHkZ7e3tQb4hIIfctXikDvlwK77nnHvztb39j/r1p0yYAwMcff4xTTjkF//znPzEzM4Pnn38ezz//PPO60tJSDA0NAXBHLLq7u5l2doVCgZdeegn33nsvbDYbysvLceutt3LqCmJJQgsC9i7QYrGgqamJGYFLctzRjgoOBNuCuK6uDiaTKWbnYs9bKCsrw+DgYMw+IA6HgxEd27Zt470okkDTNNrb23ltySQQQTA0NITe3l6fY6wv2VKIZ/aNYFTve4FdlaeCi6Lhomn0z0Tn5keYnLfhqucacc7aXJyzLhdFme7dv1gshlgsxtX1peiYNPksyNtSpMJ/e8cxa/G92z+tZnGMdeaXbY77BvVew43IDIQFuwsGq+/3a6hiID1JCsOXxyMDmEQikZeTIwD8Zd8oLtyYB5kk9ju9SPv9h7RmWBwUlDIxfnLOBkjEIk70QKfTgqZpd+dCkgU2W3LIIjaRUwbhFu2JxWJmqqUvbwgAnOhBNEKfPFPjcd/4nHT47LPP+vUgAIB7770X9957b8BjnHLKKRxxu3nzZhw4cICX64uEhBYEhNnZWTQ3NyM3NxerVq3iLJSxEgQk78i2II50CmEwXC4XOjo6MDMzg61bt0KhUGBgYCD4D0aA0WhEY2Mjk4aItn3RHxqNBlarFUVFRVizZg3vuyaRSASDwQC9Xo9t27b5rCGRScS4dXclbvtn25f/FuH6XaW49oQSKDzaEz/t1eJ7//C2OI6EgVkzHt87iMf3DmJTURrOXZ+Hs1bnIOPL4UX3nVvrUxBUqhW4o3Uxlq2UifHClethddLQGOzYWLSYainPdv/dSKFicWYSvr4+F//7yTAzCOn5Q6GlTNgkSUWwssSCwco2/Vr8+hdfihClTMwUF07O2/Dvlimv1stYEKkgID4Qq/JUzHwIz7Y9YvozPj6O7u5upKSkcDoX/C1ciRwhiDYk72kVPD8/D51OB41Gg66uLqSkpDACwZcxUiDiKQiCFRUe7yS0ICBT7wYHB/32+ocy7TAcKIpCR0eHT/Mf0g7IpxsZ2w2Q1AtYrdaY5NVIaJ3YOb///vthT1UMBk3T6O7uhkajYebC8/2AtNvtGB0dhcPhwAknnOC3xoKmafx/9r47vK3y/v5oei/ZlvdesR3vLCcESCCDkUWAQpmlrLAKpQPoDyilQCkUSmmBfsumrJKEMBJGIAlJyLYt772nlpesPe7vD+W9kWRJlmRJlozP8+R5kljSvZKv7nvez+d8zlm/KBp/v7IAceGBSI8ORkSQ9T5odIhr0yJlyeH417XFYACofO7otJ/XDEyiZmAST3/djptXpODXF2chmMvCxgI+vm4yJwUP76rFhInn0AMXpiEtyvje8mKDoNPpaH8HEn1MevlimQYbC/j45w+u6WkeuigVf/m+D2EcwJZb8/etUvxho7El82OnkRDcvCIZTcNT+KHDOIXw0sFubCmO80qVwJXrqnHYaKVcmGDdCpbBYCA8PBzh4eHIyMiAVqulJxfq6+tBURQdohMdHW22M57rkUN7cOe9xFSfQT4jS2OkqKgomiDMtOkggkJvEKmF6GP78FlCQFEUampqIJPJ7ArR2Gy22xZp0pYAYNUsh8ViuRzpaw3ETInP55uV1E37zu74EpuaKJmW1m2Z+7gKrVaL2tpaKJVKrFixAnV1dW4nHEQ8yGazERoaapcM6PV6UBSFdfn8GX9fIQHOt2fW5Ebj+e2FCOKwpi3ultAZKLx+rA86AwUmA1Yff0ZkXsYflOkQEBBAOyhSFIXWERke3deJwnjzm5rq7MQAm8mgKwT2sCwtAqd6z1UjuFzjwiZW2n6uRK7BoVYhPq2X4mCbFABwXhYPP1+ShE2vnca4UodxpQ5f1ouwrdRztquz+Q42nq0Q2CIEluBwODNWD8jC561FzRV4UsXP4XAQFxeHuLg4Ol5YKpVCJBKhvb0dQUFBZkFDlufhTVtld4oK5yN8lhAwGAykpKQgIiLCrrqVXFx6vX5W43KmFsSWbQlrx5rNBUxRFPr6+tDW1mbVv99d74m8Rn19PcbHx6eZKDmaGOgI5HI5qqurERwcjBUrVoDD4TgcoOQoTMWDXC4XEonE6uOIst+ZyNfvW5wz7NleloDHL8uFwQD8+as2fHDasfL82yf6HT7GlFpHaw8A4/t6/cQw2sUKtFvRPNy/s9EhMgDAjAwAoIWNM+G+XW0AjB4LPyuJQWF8CFgsFv5xVSFufNc4+//Y3jZsKo4Dm+nZxdHZxVerN6BVaDRvWpzofFiMteoB6as3NDTQ19zQ0NC06sFcw2AweGxKwBQMBgOhoaEIDQ1FWloabYw0OjqK1tZWaDQaREZG0gQhODjYq+6JCoXCrWOF8w0+SwgAgM/nz7hg0dnyOp1LiydFUejp6UFHR8eMFsSmC7WrXy69Xo/GxkZIpVIsWbLE6iiJs0mBtqBUKlFdXQ02m21V4e8uQiCRSCAQCJCSkmLmz+Cu16coCr29vWbiwYGBgWmvTXaOpj1JRxaN3YJh/O17xzUbd65Ow70XZmBgXIUHdzWiwUrC4WywoSAW3zSJEco1v0lK5Vp6Zx4XFgChRURydb99t0NncNPyZLxzNsrYGv66NhLBWimOHj0KHo+HuOho3LIiEW+eMPonvHyoBw+sdd2y2B5cHe/rkiig1hkQFsBCStTsR3ktd8YjIyNoa2vD8PAwWltbERwcTLcWnO2ruxtzlXZIjJFiY2NBURSUSiXdgunq6gKHw0FISAgoinL5Hu4MpqamnDYW+inBpwmBI194soNyReznrAXxbIWFJBWRjODZKne7Q8DoSJzwbI9hulAXFBQgKSnJ7OfuaEkQTYdYLDYTD1r6EJgmFZKfO3L9DI6r8P8+b3H4fF64shAbC/j4rkWMP3zWApnaffoVAHjpqsU43m3sxwcHmH89dwuGoacolCWH4z/Xl2LJXw679dimsEcGAOA334/j+W2LUJkcSJfQixkyAEYS8+bxfty/Jt0jJXRXq06EuBUkhLmcZmgLDAYDQUFBYLPZqKioMKseWAYORUdHe8RbxB58If6YwWAgODgYwcHBtDHSxMQErQc6cuQIwsPDaRLlCWMkd04ZzEf4NCFwFK5MGpiq7Z2xILaVRDgTyAIdHx+P/Pz8Gb+crh5npnaEKWazgzcYDGhsbIREIrGp8p9ty4A4D+r1+mkEypQQmCYVEjLlCPQGCuv+MT0ZEQAeWp+NbqkCH1eZOwaWJIXjL9+0410bC+a/flaEXYJhHGi13s6wh9XZPKzLj8V3Z9sXoSa6BgNFYWfNMADjOGUwl4U/b17kFJlxN575thOH7q+kS+gajQbvJI/gpk96UBgFunpgGlvsDrhaIWgeMQoKC+I9IyozFRVaVg9I4BCpIni7euALhMASxPhIo9FAr9ejoKCArh709vaCyWTS1467rp8FUaF9/CQJwcjICBoaGmi1vbPzuc5MNZjuomdaoC2P4+xiTXbTIpHIZjtitscAALVajZqaGjp50dZuZzaEw9J50LKUSKoPpmTA0RYBwQNnxxEBoybguxYx7RD4l287UGkl3Oail6YTiK0l8dhTa3Qhk2v0tIugs3j56iIAwNTZ3IIQ7rnX+bFzFIPjKoQHsmnDnDbhlEvHcRekci0mVTqEnzVJ4nK5KM9NRd0jxmvcNLbYMngoLCzM5d2fq4Qg+GwLZsSi1eIu2Eo6tAwc0mq1GBsbM6semE4ueKJ64IuEgIBosgIDA82MkazFXhOCYG/80x4WCIF9+DQhcPQLz2azHVqkKYpCW1sb+vr6XPbTd2bnbqoXsLWLtnccZ0iOaTyyo3bHruzgJycnUV1djaioKCxevNiuGMhe/LE9WHMetPXarpKBIx1SfNdybhcfwGZOsws+3j1m+TQzFCWG4U+bFoHFZNCE4HefTg8schSrnj+K7NgQOvmQVAjGFVrc8YHRIyGQw0QghwW9gbJZpfAmLnjxOCozorAuPwZrc6MREcShfw+m1sFqtRpSqRRSqRR9fX307jAmJgZRUVEuaXKcJQQXLYrBWycG8EP7KFRaPQI57hWyOTp2yOFwwOfzwefzbVYPTFX57ljIfZkQWJuAsBZ7TVowluOfPB7PYRK1MGVgHz5NCByFI4unqQVxZWWlyyzR0YXaVC+wcuVKpxXHzuyux8fHUVNT43Q8srM7+JGREdTX1yMrKwsZGRkz3pCdfX1r4kFbjwOMn3F/fz9iY2OdMliSqXT0AktgbUogMyYYXRLbDoZ/2VqAjJhg1PQ7YIzvAOQavVkM8uEOKSpSI7HltVP0/4lkGjzzTbtLKnlPQGegcKRzFEc6R/EnJgMpUYEI4rAQGsBCMNf8T1QQB9tK81BYyMbExASkUim6u7vR2NiIsPBw8HjR4MfG2A2fAVyvEBQnhiE+PAAjk2r82DWGi0ycH2cDuVqH493jyA7VOn1O9qoHTU1NZtUDHo/nspGYLxMCR6YMbJlHWQo4eTyeTRJFRiLDwnzju+OL+EkQAksL4tkoWR0hBM7qBazBUcHf4OAgmpqakJOTg7S0NKduSI4u2MQgqre316ncA2cqBLbEg9bOxWAwIDIyEmlpaRAKhWhra0NISAhiYmIQGxuLiIgIq5+DZEqD90724z8mscKAMbDnokUxuCgvFr/Z3Qjt2fQha2TgvCwehidV6BQr8HHVIDYXx+O/p6zv1EO4LMhnEbP8eZ0Qn1tEGgPAe16oDLxz/WL8348D+LF7fMbHXpDNw/CkGm0iObql1m2iCeQaPX61JoO2xc3OzkZ9/yh+tasFCcFDuC23BxwOhy6fW4vkdVWXwmAwsG5RDN47NYhvm8VuIQRNwzL89tNm9I2pkBcbiF8Vz04EZ6t6QK7zoKAg+rNxpnrg64TAmXOzNv5JSFRzczO0Wq0ZiTKNclcoFLNuGTz11FPYu3cvBAIBuFwuxsfHrZ6jJT788ENcc801Nl93dHQU9957L7744gswmUxs374dL730kldbHD5NCBxd3Oy5FRILYkd3tY4cy9ZC7cwIoyPHsbdYGwwGtLa2YmhoCGVlZYiJcf7m5gghIJMYk5OTWL58uVPs2lHCYU88aApTsyEWi4WMjAwzNzky/ggAMTExiImJQXR0NF2OfmJvK763EPv9ZWs+NhTE0lbGS9MizbIBEiMCMa7UQnF2YY8N4+Jop3EK4N2TAzbL9u/fXIrr3hbM+N59FYsSo5AYYTRPWpcRgAEFG81nZ/gt8UPHKAQPr8bQhAqv/9iP3WfbJ5YoTgybZmvcKZbjnp2tGFXoEBMWitWrl9PVAxLJGxkZSS+CwcHBs0oVXJ9vJAQ/tI9CrTMgwMV0Roqi8MGZIfzt+y6aQLaKVfhHDQtLK9zTjrCsHuh0Orps3tzcDJ1O57AjoC8TgtmaJlmSKLlcjtHRUYjFYrS3t4PFYuH999/H2rVrodVqZ90y0Gg0uOqqq1BZWYk33njD5uPeeustbNy4kf73TC3j6667DsPDw9i/fz+0Wi1+8Ytf4Pbbb8cHH3wwq/N1Bj5NCBwFm82etkjbsyCeDWwRAhLxOzo66rRewBrsLaak/aFWq82Cntx5DMDIpmtqasDhcFBZWem0yteRscOZxIMEpmTAcqTQ0k1uYmICYrEY3d3daGhooBeUSxZFoU00hf4xFf3ch/Y040zvOC5dHAdeMGdaUNBftubjxndq6H9/KrC+2FnCE2TgpasW44KcaNzzcT1NStyJb+9dgf/82IeYEA70qiloJ4yEICg0Eu9enYOlz063Zia48vUqvH1DCR7ekDWNEKTxgvCrNem4OC/G7PfWI1Xg1vfrMaowJr1dURJPawt4PB5ycnKgUCho7UFXVxe4XC793XJlISlOCgc/jAuRTINjXWNmCZKO4ECrBKf7JtAtUdB5Dmtyo3FNRSIe2NmAllE9fvtpM17YXuB2+2Y2mz1t4bN0BLRVPfBlQjAbXxdLmBojpaamQq/Xo7u7G3q9Ho8//jhkMhnuuOMObN26FRs3bnQpZ+WJJ54AALvBRoCRADiqU2tubsbXX3+N06dPY8mSJQCAl19+GZdeeimef/55m+1Td2NeEALLRdo0GdGaBfFsYG0RJQsnm812SS9g6zjWiIdMJkN1dTXCw8NRVlY2q/aHPUIwOjqKmpoauz4Gjry+vbaHI+JBAE6JBxkMBi1GysnJgVKpRFvfCO77oh99kzrkRTEREx+AmpFzSvOdNcP0SJ8ptpclYElaJNJ4QegdtV8KnwmOWgrbw0sHu5AVG4zLFsc5TAiWpkXidO+4Q4+Va/R44vI8iEQiVFdXIy8lHugWQihTIySAg/KUCFTb0Et0iBU474XjCOZMv04+vqUMIRaTF/1jSvzy/TpI5MbwhiAOE5cXTW9FWc6tj42NQSg0tlGOHDlips639T03rSgwGQysXxSL/542tg0cJQRavQF/+74L758+N4bKYTHw4EWZ+PmSRDAYDPzxogT84dshHGofxaNftuHpzXlu9zsgsOUIaK1sHh0d7fOEwFO+DCwWC9nZ2Xj99dcxPj6OjIwMbN68GT/88AMef/xxREVF4ZNPPkFlZaXbj3333Xfj1ltvRWZmJu6880784he/sHnvOn78OCIjI2kyAAAXX3wxmEwmTp48iW3btrn9/Kxh3hAC0jKQSqWora0Fn8+3aUE822OZLnIkiXE2C6et41gu1kTUl5GRgaysrFm3P2wRgv7+frS0tDg1Jmnr9UnOtymcEQ+aGg45O0kAACNyCr/5ZgSD43oADDRIKQCOjZ3tqhmGSqt3mAwwADxcDuwbCoDgLOFgAKAAPLQhG3920B7YFJ/duRQaHYV7/1ePLokCl79yauYnncU7N5bipYPdDj/+7eP9aBseQzhDhauWpSMvKgqAELUDk5DKNQ45Miq006+nv3zbiT9dfs7Bsm5wEg/uboZIdi7J6fLFcQidYVyTxWIhJiYGQUFBEIlEWLp0KaRSKV0atrZDFk6qce1bNRBPnTtWdqyxonaoXQqNzgDuDG0DyZQGD+5umuYEef2yJFy39JwZ12J+AH61JAR/P6PA3gYRQgNY+MMG20TXnbB0BLSsHpB49fj4eKt5AnMJT+YsmEKhUECv1+P+++/H7373O6jVahw9ehR5eXluP9af/vQnrF27FsHBwfj2229x1113YWpqCvfdd5/Vx4+MjEzTZrHZbPB4PIyMOFaVdAd8mhA4M3aoUqnQ3d2Njo6OWS9k9kAIgalewJpL32xhursmor6enh4UFxcjLi7ObccwJQQGgwEtLS0YHh5GRUUFeDzerF7fWsvAWfEgeb4rZAAAbn1fgOEJNVJ5QXjsklzc9VE9NHrHJx/2NtgPLSJgMoBf5hmwpmwRtlwch+veqkaHWA4KxiAdV3vVW1477dLzAKOfAdnRX5QXM00/YYnP6siNh4GTX/YCMCYnqnQGrP7bj04dOyyABdlZP4U9dUIUxgdja3Ec3jk1hFeP9EFPAWGBbMjORiv+rMK5yGQmk4mQkBCEhIQgNTWV3iFLJBJana8NCMfzp1UQT5mTUrlaD34oF6IpDf76XSe2lcSjIN66K55gYAK/3tUM8ZRmmkh0Z80IrqlIRGKEcXdLURQqEgLw1OYUPLSnBR9XDSM8gI371njGwtkWrFUPDh8+DIqi0NLSYld0NxfwVriRXC5HQEAAXVUNCAjARRddBAB46KGH8Oyzz9p9fnNzMxYtWuTQsR599FH672VlZZDL5XjuuedsEgJfgU8TAkfBYDDoPqM7+vf2wGKx6FQ/a4FB7jyOwWCATqdDbW0t5HI5VqxY4daRGVPSodFoIBAIoNFoZqVLsHx9U0W4K+JB8joun8PZm/yv1mRgZRYP7/+iHFe9fgaAMbr4xhUpEMk0GJOr8NpRx4OHfn1RJrYUxyOIw0R7VzeGBwexvLyU1qq8em0RrnmjClK5Fmtyo22GH+26fQmufaPaKZLiKE6ZtApmIgOOghfMoXv+9hAbFgCZ+tyUxlPfduNvB3uhOltB2LAoGnHhAXj31BBKksKRF+e4ktpa0iHZIXNDI3FEGoxvWkVoE5tXNMIDmFiZHoHfrs/Be6eH8PaJAXxcNYyPq4bBD+NiTU40SpLDEcJlIYjLwhf1QnxRbySEWTHBuG1VKh76zOgMGRnExrhSh9992oK3bigGh8WkjYkuLeRjSq3Dk1914D/H+hEWyMYvKj2zQXEEZPedk5MDLpc7TXQXGBhoVlnxdvXAW+FGU1NTNkdaH3zwQdx88812nz+bDITly5fjySefhFqtttpSjo+Ph0hkvvkgIlJX/HJchd8TgqmpKfT19YGiKKxevdpt9qi2YDAYMDIygrCwMKuBQe4Ck8mESqXC8ePHERgYiMrKSrenlZEKgUwmQ01NDcLCwlBeXu62gBHTCoGz4kFXWwSWuDgvBu+cHMAP7VJcUhiHnLgQBLKZUOmMN+8Xvu9EenQwHr0k1ylC8ML3XTjaMYoHy9mYGh/H+ZVLzcaDkiKD8OYNZdjXIEQOPxT//KFn2mvsvWs5nvmmHRq9Aedl8fCXrfk4z8mdOMEFOdH41zVFuOCFHyGVGxfsd5xIVnQEIVwWrq5IxGtHeun/W5Mbg4Nt08mGWmd8T6ZaB5XWqOp/ZH0mLimIwaZ/VwMAtpfEQqfT0WLRmQigvbHDv+7vxOdnF3EmAyCyjbtX8HF+ggFSqRQtglNYGxOFmNVxqB7R4njPOEQyDT6uHsbH1dO1JABw+WI+vmo0vu6mIj7uOj8NV79ejdrBSbxyuBdXlyfgeJ8cLSIFRPX1aBo55yL594PduKo8YcaWiKdgme9hKroz1R6YVg9M0wi9cX7eIAT2TIlIu8VTEAgEiIqKsrleVFZWYnx8HFVVVaioqAAAHDhwAAaDAcuXL/fYeVnCpwnBTIuBUChEfX09IiMjodfrPU4GJBIJ+vv7ERgYiKVLl3q0zKVSqSASiZCenm6WIOhOMJlMTE1N4eTJkzMK+1x9fYqiPCIedBQX58finZMDONQmhUZvQPOwDCqd8QZJyun9Yyr0jTkvGjzVO45HJ5nISuDh9EkhfrkyABFB50hbDj8Ev1qbiV++JwAA/KwiEYEcFt490Q8KwGWvnARgFKc9sjEHvBD71+9li/moHZjEwLhq2s9+aJdi8ZOHnH4PzkCu0ZuRAQDoHT1XBTBNSBwcV+GPl+VNEz9+eEsFFsWH4kCrBEKZBpFBbKzPj6VbRMC5cC9b5MBahYAgMvjc52+q4bysPA0pUUFmpjaFWilSYibxs9RQDOpCUCcFhmS6adHQAPDSoR4ARpJx+6pUJEcGYVtpPN49OYjXj/Xj9WOm5Mt4LbEYQFZsCC7I4SGEO3c9e9O2myUstQdkqkMikaCjo8Mr1QNvtgxmMr1yBH19fRgdHUVfXx/0ej096pydnY3Q0FB88cUXEAqFWLFiBQIDA7F//348/fTT+M1vfkO/xqlTp3DjjTfi+++/R1JSEvLz87Fx40bcdttteO2116DVanHPPffgmmuu8dqEAeDjhACwbm5jaUEMAN3djounnAVFUeju7kZnZyfi4+Oh1Wo9dgGTY4lEIkRGRnpE8EKOMzExgbGxMZSUlHikLMVgMCCXyyEQCOyKBwHQegF3kgEAKE2OQHQIF1K5Bqe6x9Bqw///1v/WuvT6bWMGtI0Zd8jfNonw9b3mauXGIRmOd4+BxWDg1lVpSIoMxPXLkvCz16vo0vtli+OQHm1/JxYeyMYjG3MwodTh0n+ddOocf7suC1o9hXdO9GPMSrl/SWoEzvS55rZoat6UGxeKHH4I2kVGvwKyoyb48q5lyIwx7tBIgBPAwK46MbaVxCMsgEUTQlPhLkk0JX+3RQgmlFqrRk6AkaAkRwZOM7XRaDSQSqUIl0oRZxiFIQpoGmJgSkthY340/rK1AFe+XoUOsfF9XlrIp39XwxO2xak3LU/GL1emICrYvVU9V2CPEJiCwWBM02WMj49DKpWitbUVGo1mmieEu85vrisEzuCxxx7DO++8Q/+7rKwMAHDw4EFceOGF4HA4+Ne//oUHHngAFEUhOzsbL7zwAm677Tb6OQqFAq2trWai6/fffx/33HMPLrroItqY6B//+Mesz9cZ+DwhsIQ1C2KxWDyrGF970Ol0aGhooPUCMpkMw8PWy4qzBfEyGBsbQ2pqKtRqz4SwkONMTk4iJibGI2TAYDBgeHgYCoUCy5cv97h40BZYTAYuWhSD/1UNYX+LBOJZBtuQqQFryAlS4PTp07RjYkhICJ791jhZoKco7G0QYkKpxbhSa9aH/7ZZjLsvyEBChO32U1JkII52jkKu1mNFRhROzJCzQJDKC0KbUI6S5HA8f0UB/lc9hG+axPTPf1GZggA202VCYIrPakdQmRFFE4LdAuP3ZFtpPP54WZ7ZXP76/FgcapNiXKnFc/s78c9DPdhWGo/rlyUjPTqYJgUkwIpMETEYDOj1evoamVTp0CmWozQ5HH/6qh3jSusGZbd9UI9FcSG4cXkyNhbE0ufC5XKRkJCAhIQEun12l6Eff/1xFF83S5EVcBKXZ4Xi72cJwebic4Le87KisP9sHsb20nj80CaCRGG8jt85OYCPq4awKisK6xbF4sIc3rTRS2/B2RRQAjabTRt82ase8Hg8REVFubyoe6tCMDU15RbXv7ffftuuB8HGjRvNDIms4cILL5y20eXxeF41IbIGBjWbfFovQKPR0B+cqQWxaR96bGwMtbW1uPDCC916bLlcjpqaGnC5XJSWloLL5WJ4eBi9vb1YsWKFW49Fsg9YLBZKS0sxMjICqVSK8vJytx5HpVKhurqajhaVy+UoLS116zGIeFCpVCIgIMDmjK87xYP2cKxzFLe+X4uoYA5kKp3LfgD7fpGLttYW/O4kCxo9hX13Lzfb2atUKkgkEkgkEnQPS/FxFwt1UseP5cxCb4nHLs1FSAALv/+02ennEn+B36/PxrPfdjj1XA6LQTv1pUcHIYTLRuPwOTHf2zeWYlm69dRNlVaPL+uFePfkADrERhLBgFEPcf3yZFRmRNE6FNM/g4ODRofO8gr8/J16dEgUKE4KQ93gzGORgHH3/puL7QvE/vZ9F94+MYBgDgOPrgzFwz8YXzs5jIV3rskBj8eDHkysf/kkRhVaPLdtEdKZo+ieMKBZHoj9zRKz1k5KVCC+uHMpWEzPjyBaQi6X48yZM7jgggvc9prEE4KIuU2rB2RywVFi/8MPP2DJkiUeDx167bXXcPDgQezbt8+jx/Fn+E2FwJ4FsbPJgI6A9L2TkpKQl5dHL1aeONbo6CgEAgHi4uLo7ANHswycAQlBiomJQWFhIfr7+yGTOXYTdRSm4sHk5GT09fVZfdxs/QWcwdL0SIQHss3K5bxgDq5ZkoRXDvfYfW5hQhi9wN3wQRs2FcVDozfOmKfyzI1wAgMDEcLj46NmFT6omaC1CgBQxKPACwlAbEQw4nnh+Ofh6Z+Lq2QAAN4/PQC52vr1sjw9EgwGcMJGLgHRUuxtsF5uN0UQh4XNxXH4uMpo0HPogZWgKOBkzzhePdxjRgZ2rE6zSQYAIJDDwpXlidheloDj3WN476z489DZP1mxwbh2SRK2FMfTu+ve3l60dvZiMjQZr33cjI6zLQtHyQCbyUBmzMxGZb9ak4H6IRmq+ibwRpOenq4YkOlxtL4TUcxGREREYGN2MD6om8A7Jwfx2IpA5MUG4pLlmXhgTQZahXJ82yLGW8cH0D+mwtCECilR7jNJcxS2YplnA+IJYVo9ILbKnZ2d4HK5ZnkUtqoHZFPgLQ3BQvSxffg8ITAYDGhsbIRQKLTp2e/ORZqiKHR1daGrq8tq39vdx+rv70dra+s07wRnYpYdwdDQEBobG81CkJxNI5wJluJBkUhkVRHuCfGgPXBYTKzJjTGZswfOz4mekQwAwN+uyMe+U814t04GqRp4+4yxL54XF2rmQqfQ6PH6j7149+QAnXtgil+cn4u8MC0kEgkmJrrx/PkheORHNTT6c5/Pwxty0CNV4MMz1kcUTcFlMc1GFTvPlrQzY4Lxz58VQa0z4IGdDeiRKnGmdxz5MTMLbmcyHvrNxVm4bHEcvm46pw1Y9bztqYh2sfXsA0swGAyszORhZSYPPVIF/ntqAJ8KRtApVuDPX7Xjhe+7sLk4DufFGcCUCdGKRPznu5k/I1OszY3GuvwYXJAdjbDAmW97bCYDz2/Lx1WvV9P6AYIDkjA8t7kUo6OjOE8vxv/qKTQMyVDVq0BpcgR0Oh3YbDYWxYdiUXwofmgfNQY/SRRzRgg8ueCaag9MHSWlUina2tqg0WgQERFhpj0g33ly//HW2OECIbAPnycE1dXVUKvVdi2IyeI52wufBPlMTExg+fLlCA8Pt3osdxACYtAjEomwZMkSREWZ76TctVgTAWZ/f/80QuXOY1hzHrT2+p4SD86Ei/PNCcEeGwE8ltj06in8YXkA9t21HO+dGcGrZ1X2lov+41+20CZG+fGhuO/CDJyfE42/fNuB904O4Mlve7D79qVYaiJk2yzqxc4WoyJ9WSIX69M56ONHO0QI7lidhpcPmQtpz8/m4bkrCukF75Nbl+CPe1uxt0GEBvE5p75frckAk8HAiwe6HPoMCJ7/rhPPf9fp8ONdWfzSo4Px/y7Jxa/WZGJP7Qg+OjOIbqkCH50ZwkcAKpLDUJTs3G3r8K+WIjSA7fT1FhPKxfNX5OPm98wFpz90jKJJnIKK1CQkJSVh00gLPq0TYX+fAWkhYzhy5AgiIyPpcK2kyEA6CfL8HKdO3S3wtm2xZfVAqVROy6Mg5IAs0P4kKpzP8HlCkJeXh6CgILsXDNESzKb0RPQCAQEBWLlypc0RRncQArVajZqaGhgMBlRWVlolOu5oGWi1WtTV1UGhUKCysnLal8EdhMCe86DphAixISbvyZtkADDGFpuiJCkctYNGK9o1udEIYLPMdr4EWgPwxHE1GtV9uPfCTJoQsE16wT1SBfadJQPPX1GASwr59Ht78KIsnOkdR/PIFH7/aRPeuKGUFrI9tJWPnX85DABoFGvR2dmJL9qVAOxfw3FhAagfNLfRvWlFCjYXx+Hdk/24eFEs8uJCwWEYsDZahr0mj+MFc7AkLRIVqZG4YXkyyp85PPOH5yS2lyXg9vPSkBzpuj99WCAbNyxPxrUV8fjooABfdchRKzGgakCGqgHH2gOXFfKxNpeH8CDutMmFSbUeUoUOeXG2jb4oikIu3/oC8uKBbrx3UwkYDAZuXJGCT+tEqBFTCFiVhIqMBKMyf0CM9/Z1oVpivBbE4zKvmfCYwlsqfmtgMBhW8yhGR0fR3t4OlcqosxgYGEBMTIxT2gNnoVAokJDgnCPmTw0+TwgiIiJmXBjJxe5qapZIJEJdXR1SUlKQk5Njl1TMdqGemJhAdXU1oqOjUVhYaPOLOtuWgVwuR3V1NYKCgrBixQqrn8tsCcFMzoPk9S3Fg5Zphd5AAJuF6ofPp/u4HBYTj37Rgl01wyhKDMf1y5OtEgLAOFXwSfUwPjExrQkyibd963gfKAAX5kTj0sXmttJcNhN/216IK/9zBqd6x/F/R3ux4/x0AECwyWy6XEshr2QJPuxrBmA/uEgoU0NoMi2RxgvCuyf6aSOi904O4D/XFGCkqxkv1pz7/caEciGZ0uDmdwR46erFWJsXgx3np+NVB1ontrCpKA6biuLw6uEe1AxM4vxsHv50eZ5bfr86nQ4CgQC5EQZc/ctKDMlsj1z+dl0WnttvXr3Y2yjCikweuFwuXZWq6h3H/2qG8V2rFFo9hbevK0RBQhjePzOMnlElRuU6dEsV0BkojMo1Zi0dU9QOTqJ3VIn06GBkx4agPCUc1f2T+KJVhqLcdLxRp8QuwRSMMkkjPqoRgzklxEU5MwcyuRO+FGxkWj0AjNkzdXV1GB8fR3d3N109IJML7jJJAxY0BI7A5wmBIyD9cDKa5ChM9QKLFy92iD2yWCxaEOfsl2xwcBBNTU3Izs5Genq63ZvmbIgHCVwigkhbx5kNIXDEedBSIe7tqoAlAjkseg5eb6Dw41nTHH54AEID2PjPdSW47X3H/AhO9Y6DoihIpjR0++GXq1KtPjY9OhiPXZqLh/Y0418/dGNpWiSWpEVCZzCYpSDe9E6N2Vw/QTCbge2ZwHtt1hcny/ClSZUOt39Qh6RwLgZkevDDuPjglgpEBLHxu93NONgmwZ7aYazNi8HPKhLxn6O9Tk1eLE4Mw8+XJmHdoliEBLDxv6oh1AxMIojDwqOXuocMkCoal8tFWVkZWCwWTvaIbT7ekgwQPPpFCw63S1GQEIp9jSJ6JJKAxWTio6phvHSo1+rz7SE8kA3BwARePdJHBx/taZ7EicEzGJmcPt6qNgCt6khcGRWF0+3DeP6DTqxKZOG25XFWI4vdBV8iBJbgcrlgs9koKSmBXq+nfQ86OjqgUqmm+R7M5tpaIAQzY14QAsDYNnBmAdXpdKirq4NMJrOpF7AGsqN35ktmMBjQ2tpqHJWyIYy0dhxnF2vTXr4jgUuuEgJHnQcZDAZ0Oh0kEgmioqLmlAxYYlShoW/alxQa8+UTmRP44xIKhfmLkJIQi901w4gJDUDTsAynesfQNGxuanTpv06aLcZNwzK0i+SQyjUQT2kgsfgDGN3znvyqDZ/duQx9o0qzhdgaGQCATSUJiIkIBNpm7vlfUxqDQ21ijCgYmJBoEMxl4dVri+kAnosXGa2GNWcnIPhhAU6PYU6qdDQZEMvU+NtZXcGv1mQgyYE2Qd+oEr/6pB5rc2Nw75rp438KhQLV1dWIiIhAYWEhmEwmTvWM4Ym9bfRj7l+bib/b0UBctphPazr2t4ix/6wRUiCbicrMKBxsk4LFYCArLgJ3f2J9VHNrMR+/vzgDk2oDNvzrtJkVMgDc8WE9WoRGgsFiAKSYYEoGooI5+Pe1RWgRTuGxL9swJNNCjAg8dqwHAAPf9VP4RYWODmQilsHR0dFus0X3xJSBu2Da5mWxWPR7B2A2udDV1QUOh2M2ueBs9WCBEMwMnycEjl7IzvT2p6amUFNTQ2cEOGN5bNqecOSCJEZKarUaK1ascFjU4uxi7WiK4GyO4WhsMTmfwMBA8Pl8NDY2wmAwIDo6GrGxsYiJiXF7LoOzUJ8N2QniMBHAYqCpqQnft0ggZvOxJSUOAWwWbq407vgvLzK2AW55T2A2Gmi5M3/mm5ln+MMD2Vh+dhSv7exutTgpHJcXxaF/TIl9DUI6i4Dg46ohM82CPawIEmLz5mz89uthiGRqvHTVYuTHn+uTE0Me4h3QZsO50R76RpVY+uwRXLskCZIpDWRqHYoSw3DdsmSHnr/xnycAAK1C+TRCIJPJUF1djfj4eOTm5sJAAa8e7jETUO44P90uGQBsp1SenxONdfmxONgmRWZsMP64txWTqnOVxTW5MciODcZ/fuzDnjoREsID8MsViQgNYGHKYqyTkIErSuJx66oU3PleFfpkBixPj8Tjl+bg0ldOY1KpRQ4/BOFnhZ49UqWZSPEfVxciP4sHiqIwNTUFqVSK4eFhtLa2IiQkhF4Aw8PDXd7lz6WGYCbYOzeiPUhOTjarHnR2dkKpVJpNLjhiSbxACGaGzxMCR+EoITDVC7iSEUDK3o4ci9zcwsLCsGLFCqcYLWkZ2PNtJ7AUKdpKEbR2DEcJgTOxxUQzwGKxUFhYCACYnJyEWCxGT08PGhsbERkZSZODuVD+Ks8SggA2EzU1NTgxoMJrjQYAYoQFBWJ4UoXChDCsy49FGs9oPvTatcWo7p9Ap1iOp75uN3u9K8sSINfoodUbwAvhIiaEiyAuCx1nF/0d56cjLpyLADYL40otjnRI8dnZVkMOPwTXn11MH96Qg6EJFR7Z04yYUC7yE8Lwv6oh9DuYtRDA5UDa34knKyMREhGP7ETzHjWbZbyWtHoDxhQabP236/HKptMQv12X7ZDpzoDJ+1iTG232s9HRUdTW1iI9PZ1uqb10oBOv/2ju2eCM5uHyojhsL03Asa5RvP5jH75tFuPbZmO1oF0kN2sh/G17ITYWxBoDgALYePFAF1492g8wGODYeG8lSWF44vJcAMClGWy8VqdB/ZAMQRwW3Q4SydSIC5++239hez4tdmUwGAgLC0NYWBjS09Oh1Wrp3XF9fT0oijKrHjizifHlloGjIkvL6oHp5EJ3d7dD1YOFKYOZMa8IgT0NAUVR6OzsRHd3t8N6AXvHmokQjIyMoL6+HhkZGcjKynKaeJAvyUyEYHJyEtXV1YiMjERRUZFTOwFHCYGrscWm4sGIiAhEREQgOzsbSqUSEomEjl8NCgqiA1YiIiK8cvNS64y/P4ZBh+ZRPf6v4dyu/O2z4rxvmsR44XvjTvSfPyvC2rwYrMiIwoqMKJyfE40NL5+gn3P7eWlIjgrC4LgSB9uk+KFNglO94/ROfFypRUQQG7UDk9MqC4UJ5kr3xIhAvH1TGf3vG5cno3lkCq3CKTz+ZSsAo9+AVK7BhIVV74pV50GnVkEsFkMikeDHHzsREhJC2ymThW1SpcON79S4/gFa4L7/NeDYb8+b8XF/3X+uivLbddn030UiERoaGpCXl2fW6jrWZV9gORNUWj2SowLxwEVZOC+Lh9/vabba3weAvx/oxBvHehEWwEZEEAdRwRyMKbR49Yh1cy0AqB2UoVM4iVReEJbEMcFhMaDQ6HHTuwLEhwdgYFyFHqkSj3zeava8h9ZnYd0i2+l6HA4HcXFxiIuLowOZJBIJbdAWFhaG6OhoxMTEICwszO49wtcJgSvnFhQUhOTkZLPqwejoqM3qAWAkBLONj3/qqaewd+9eCAQCcLlcjI+Pm/387bffxi9+8QurzxUKheDz+VZ/lp6ejt5ecx3LM888g4ceemhW5+ssfJ4QOLqQ2tMQaLVa1NfXY2pqCitWrJj1RWGPEFAUhY6ODvT09KC4uBhxcXFWHzcTyJfE3heGkI7MzExkZma6VO2YiRC4Els8k296UFAQUlJSkJKSAp1OR/uj19YaS6mktRAdHe2x1oJ03Di6NqYG/l6lohduW7jn43o0PbaG/vepHnNXwfUm5MAafmiXmv07lReE4qRwVKRGYFuJfXLKYTFRnBSOosQw/PmrNmj1RjHjsrQIfNd67nU/+mUFAtgsBLCNJjFkp0k+X4FAgJbRs60CkWOmQY5iXKnFlFpnN+K3SyLHdy3nopKJ7fPAwADa2tqwePHiaTfMSRvZBKZYtyiW1ghY4rsWCb5vkWDH+em4dVUqPr1jKSqfO2r1sf1j01MkHcF179bjw+sXoVGogvbsbaFvTIVAtvE7cMeH9WaPD+Iwcd1S+/oeU5gGMmVmZtI+FlKpFAKBAAwGg178eDzetO+MLxMCd7QzTKsHOTk5dPVgdHQULS0tuP/++2lr5NmOWWs0Glx11VWorKzEG2+8Me3nP/vZz6blGNx8881QqVQ2yQDBn/70J7MApNmuU67A5wmBo7C1SBO9QFBQECorK92ywNiaACBCRXcQD1PxoiVMSUdJScmMF5otmI4FWiMT3ogtZrPZZjuhiYkJiMVidHV1oaGhAVFRUXRrwV3pakKhEA3NrSAjYZYmQ2EBbDx2WS5+/2mTmYjsZPcYlmcY+//2ku4sXQQBow9CcVI4/SfShRQ8BoOB289Lw7snBjCp0pmRgVtXpqI4abowlsPhID4+HnFxcagdmMC3TS0g8byzRSovCH0m1Y73Tw3gjtXpNh//z7MRwuR8SbJnb28vysrKpplzAZhWAbEGW2SAgALwyuEefN0kwn+uK5n287y4UKspmDGhXGwuisObx/un/cwUco0em99snPb/ptbVprimYnZxtpaBTJOTk5BKpejt7UVTUxPCw8PNjH98mRB4wrbYtHqwaNEiPPvss/jqq68wNDSEDRs2YOXKlbjkkktwySWXoLi42Kn71RNPPAEANsONgoKCzEZJxWIxDhw4YJU8WCIsLMwjQXPOYF4RAsuWgVAoRH19PVJTU5GTk+M2pa21CQAy9x8YGIgVK1Y41eOzBnKulsSDuClOTk7OmnSQL6IlIXBGPOhOG2IGg4HIyEhERkbSTF8sFkMsFqOtrQ3BwcFmrQVnj0XeV1dXFzhRiQCmp1b+fGkSHtmYgzd+7IOl+P6uj+rx5g0lKEmOwPXLkvH+6QGrC5YlGfjqnuW0DmG2uPuCDFxfHovPDlejSxGA/zUbJxNiQq1fbxqdAXtqR/D01+1m5xXMZUGl1U97j86AkAEWgwE9ReGdEwO4fnkyQrjTbystI1NmPg9r8qLR2tqK7sERvN8bhk3hCvyswpwQ6A0UZGr7hGBlZhQKE8LAZDDw76P2Rwe7JAoIBqanOjIZRi8Hy1aOZEqDG1ekYGfNsJnwEAD237cCWj2Fn71+BjIbGRKmeOWqfHRKFPjbwV70jyndtkgzmUz6O5OVlQW1Wk1XD3p7e8FiscDhcBAYGEhbKvsSPG3UxOVysXnzZmzcuBHvv/8+fvzxR9TV1eGrr77Cn//8Z3z44YfYtGmTx47/7rvvIjg4GFdeeeWMj/3LX/6CJ598Eqmpqfj5z3+OBx54wOu/L9+6OqzAlZaB6Q66qKjI7azLshpBdtLJycnIzc11yxedwWBMIx5KpRLV1dXgcDhOT0dYAzlP05uTK+JB8lruHm0KCgpCamoqnc0ulUohFoshEAgAgO6LR0dHz/jFMRgMaGlpgVgsRk5hKe7593S/gfsuzMAdq9PwfavEqq2vUqvHHR/U4e0by7AoPhS/WpOJP+1rm/Y4U6xbFOs2MgAYA6oEAgEqc5NwQ3Y2DF+2YmfNsNX8BJ3BgGvfrELziPnu98NbylGSHAG5WoerX69Ct9T6uKOj0FPndBJL/3IEq7N5WBQXikXxYciPD0UqLwgvHzr3eUaHcMAc64NkchL7xFGoHhhF9YAMP6swL6NbkoEd56cjIpCNv5xNZNxaEo/wQDa+bhI5XO63lgZp+fkARuOpey9Mx/5m8TQyEMBmIojDQpBhChcl6LCnx/51/+ODKxEeyIbWYKxk9I8p6c1L/7ga37ZI0Sycwj0XZNh0RnQUAQEBSExMRGJiIgwGA8bHx9HR0YHJyUkcOXIEERERtKWyJ10BHYW3qhdTU8bfcUFBAVauXIk777wTarXa4+//jTfewM9//vMZDajuu+8+lJeXg8fj4dixY3j44YcxPDyMF154waPnZwmfJwSOgizSxK5XLpe7RS9g71gURaGnpwcdHR0z7qRdgWmPf2xsDDU1NYiPj8eiRYvctrsAzrUlnBEPErMhwDvOg5athfHxcUgkEnR2dqK+vp5uLcTGxk778pFrQqPRYPny5djxP+tz5ye6x/DfUwMYVWit/hwwivFue1+Ad28qx1XlifikesjqggIYF47bzrNuVuQKiPAuJyeHDsIKOet2aI0QsBgMs4RHgvs/acRNK5JxVUUiHt6Qjds/qHPbOQLAkY5RHOmwLQYs4gFKhQLLli3DfYeP23zchNL83CdVWrMJA8s8iqLEMKzPj8Xfvrc9kuio54JSq8dfLcyO/u/nxfj7wS40DU/hxW9bIB+X4Ot+43VvOpZ4fjYP1y9Lxu0f1CGHH4KoEOOEQQbfeC9qFSnw+vEhHGiTotVEy1GWFIas6MAZNTiOgslkgsfjISwsDLGxsYiPj7eZKWAvkdCT8JaVs0JhJL2mUwbE5+Ghhx7Cs88+a/f5zc3NWLRokVPHPH78OJqbm/Hee+/N+Nhf//rX9N+Li4vB5XJxxx134JlnnnGbH4UjmFeEYGpqCsePH0dISIjb9AK2jkUWmbGxMSxbtgwRERFuPw7RKvT396OlpQV5eXlITXXfAmNKCDwhHvQUGAwGoqKiEBUVhZycHCgUCojFYohEIrS1tSEkJITWHXC5XAgEAgQGBmLp0qVgsljTSsMEp3rHp/3fpqI45MeH4q/7O5EZE4wANhPNI1P45X8FeO/mMmTHhpgRAhKTCwAbCmKxKN49c8/9/f1ob2+fJrwj9scK7XRCwGAwcOfqdPxx77nJhCm1DkKZGn/d34l/H+11qEfvbjRKdMgqqACXy6X77FzW9OtoxEKn8f4p+6FP9UMy1M+Q2GgNxUnheGh9NhgM4OVD3TjWZRSMMmDUHwDG/Ij8hDD8+qIs3PrfWuyql4JoUO5bk4E7zkvDmEKLXTXDWJd/bnpgYEwFiqIwMqnGobZzgspXj5pPLiRFBGBrMd+s8khi0Gf7HSO7cGvKfKlUivb2dqjV6mmugN6AwWDwSllcLpfbzMR58MEHcfPNN9t9fmbmdAOtmfD666+jtLQUFRUVTj93+fLl0Ol06OnpQV5entPPdxXzhhAolUqIRCJkZmbaFcC5C93d3bRQ0VMMjslkoru7G2NjYygvL6dncN0FsrOXSCRoaWnxqHjQkwgODkZaWhrS0tJoVb1YLEZ1dTX0ej2Cg4PPJTAyGPjszmVGy9nDPVidHY2ChDBo9Qbc97+Gaa9d0z+BLSXGllO3RIHPdizDHR/UYnhCjVveq4XWQi8QxGUBZwnB53VCiGUavHptMbhs127qpP01ODiI8vLyaS2cYDsVAuP7Pff3oXEV3r25DC0jU3j9WJ+ZIHA2CGAB15Xy8GaVsSqQyw9BWCAbDACDE6ppAkyxksLlr57B7avT6P9blTVdUGiNoM0WlkLIQDYTdYOTuP7tajM9RXZsCD64pRxHOkbx5L42CGVqXP9WNZ68KA55kRRaxxlgAHj00lxcs8TY6uCFcHHbecb3pNEZwICx0rD136enWSYDwLK0SJzqHQeTAfz1ikLwwoyLMPmOURRFtxYI+XaFhFsry1tzBSTVg46ODgQGBtI/j4yM9NguXq/Xz7r16QimpqZsmheRyqK7j/e///0PzzzzjEvPFwgEYDKZLgvGXYXPE4KZFh2KotDe3o6RkRGEhYUhJ8ez+aLELCQ0NBTLli3z2A5Zo9FAo9FgcnISlZWVHmHsxC+gqakJixcv9pp40JMgqnomkwmRSISkpCSwWCx0dnaisbGRbi0sTY7F6lvMmXtxUji6JQo8cFEmlqRF4u6P6tA/psIDnzTSu8XNr56iH2/NLGhw3LyXfbx7DDX9E/R0gjMwGAxobGzExMQEli5datVUJfisgE9uQ9h2pm+c/rtKZ8DVr1c5fR4zQa0Hzudr8W0IhQE5A9kRwCMb0hEZGYk3j/fjhe+7kBsJPLMuHmNcPp77rgutwina8hgAVmbypr1uTf85AeCi+FBsKY7HpYv5iA09R8A7xHL8eV+bw+RBptIhNpQL8ZQGz27Lx/L0KDyxtxUH28zHQjvEchzrGsUlhXwsigvFre8L0DuqxL2f9eDhdZk42D2Fy4vicFGe9YWEy2aCHxYAoUxNkwE2k4F7L8zAy4e6oTNQ9DnfuTodZSnnKoymlTvTP65WDxzp05smEup0Orp60NLSAq1Wi6gozwQyeatl4C5Tor6+PoyOjqKvrw96vZ7WM2VnZ5u5IH788cfQ6XS4/vrrp73GqVOncOONN+L7779HUlISjh8/jpMnT2LNmjUICwvD8ePH8cADD+D666+3OnnjSfg8IQDMY3RNodVqUVtbC4VCgaysLEilUivPdh/6+vrQ2tqKiIgIjwWRAEZ2WV1dDQaDgZycHI+QASIepCjKLhkg4kFfCSiaCRRFoa+vD52dnSgqKqIZdl5eHuRyOcRiMYRCIW0NS3YH4eHheO9moxkQsff96JcVuPfjBlT3T1ems5kM3LIyFWEBLPzt+y5UpEbgicvzMKHUYUKpxbhSiwmlDiFcFspTnW8nkZaUVqvF0qVLbVahzlUIjDtJncGAdpEcDUMy1A9O4vM6odPHBozkqM4kYvm1a4tx54fntAZRwRzsvWs51vz9GNQ6A6TBqfjjFiZu/aAeX3fIsTSyDvxACjtrjZ/lxTmRWLRoERgMBnZm8PB53Qge/7KV7un/42A3KlIjzVosD6zNxInuMVyYG40c/vTWy/unBvDstx3QGSgEspm4fXUa1ufH4rb3a22OhZpqKgbHVKDSAJFMY/Wxj37einWLYpEeHYSn1/DwyLfDGFYAT3/fj1euKUJ5aqTdzzA5KhBCmRrp0UHokRpzK75vleD6Zcm0+VVhQhjuPD/N6vNNF3zL1FBnqgfOCvfYbDadSJibmwu5XA6pVAqRSIT29nYEBwfT5GC2RmLeslUmhGC2967HHnsM77zzDv3vsjLjPePgwYO48MIL6f9/4403cMUVV1gVZSsUCrS2tkKrNV6LAQEB+Oijj/DHP/4RarUaGRkZeOCBB8x0Bd4Cg7K20voYNBrNNEIgk8lQU1ODkJAQFBcX00KZlStXuv34ZPEUiUQoLS2FSCQCRVHIz893+7GItXJaWhqkUilSU1PdLlY0FQ+qVCqrpWhgbsSDswEJkSK/J3u6Dq1WS7slSqVSMJlMs6kFcpPS6Az4f1+04Mv66QsrP4yLC3Nj8L+qIYQHsnHst+eB6YbPR6VSoaamBgEBASguLrbbY/2uRYz7/tcAXjAH6dHBaBqW2Zx/t4b1+bF47ooCXP7KSTOlvmkKIwC8eGUhHthpPmv/0lWLcaJ7DB+eGURZcjjev6UCd31Yh0PtUlyUF4Mr8wKw4/NBsBjAn5fokRgTQS80oaGh+LR2BP/v8xb69cpTIvDfX5Q7dN4fnRmkJzzW5MbgkY3ZSIo07lwnVVrc+UEdBANGQnPX+el441gf1DN8Li9eWYg24RRePXJufLE0ORx/WBEMqUSM7IIS/ObzDggGJhHIZuLFKwtxQa7toLKH9zTjs7oR3L82E3lxofj9p03TJhZuXZmKX1+c5dB7NgWpGJDvqOn90bJ6UFVVheTkZJdN0kyh0+noKqlUKp11IFN1dTXtqeBJ7Ny5E6+++ipOnTo184N/wvBNt4oZMDIyghMnTiAhIQHl5eXgcDhOpx06CrVajVOnTtGlex6P51SQkqMgUcy1tbUoLCxETk6OR45DhJdcLhfLli2zmapo2iIAPDNW6E7odDoIBAKHRZ4cDgcJCQkoLi7GBRdcQAsp29racOjQIdTU1GBgYAAGnQbPbs3H3Rek08+9dWUqEiICIJJp8L+qIQDG6YNe6ex78lNTUzh16hTCw8NRWlo6o+CKhOaMKrSo7p+ASmdAWAAbKzKiEG/FP98UTAZwz4UZ4LCYuOfCDLOfmZKB65clW/Ur+NUnDdhVY/RyyDu7s3/w4iywGAx83yrB84cGAADn58Rgw5rzkJCQgImJCZw6dQpHjx7FgTpz3wDLbANb2FM7TJOBW1em4p8/W0yTAQAID+TgHRPrZ7lah/9cV4LQAPs70Qd2NpqRAQAQDEzifwIRli5disSYCLxxQylWZ/Og0hlwz8cN+LxuxMargU5+HBxX4rwsHp1XYYq9jcJpvhWOgMlkgsPhgMvl0n9YLBYdOa7T6aDRaKDT6dx6D2Gz2eDz+cjPz8eqVatQXl6OsLAwDA8P49ixYzh16hQ6OzsxPj7ukCugtyoEU1NTC8FGDsCvWgYURaGtrQ39/f3THPo8sXhOTEygpqYGUVFRWLx4MX3huvtYer0ejY2NGB0dNVvMXIlAtgdrzoPW7Iv9RS9AQHbUXC4XS5cudXq6hIxn8Xg8ukQqkUgwPDyMlpYWhIaGYmNyLLK2ZEOkBK5blox7LszAbsEw/n2kF0KZsTzdIZYjI8b19g4J90lNTXXYiroiNRI3rUiBVm84a28cjrToIDAZDDz2RQt21pibL63Pj4XOQOFAqwSbi+ORHWvsq15aGIdXfuixOoFx1/np2PTqSavH1+gNuHhRDB7eYNTuZMWGYENOKPa1ydA5aTz/y4v4CAwMNFO4j42NQXDiXMWhIJqNi1OYUKlUdsO5vmoU0VWF65Yl4YGLrH9OHJOphePdY/j9hhx8c+8K1A/K8NqRHrp6YAtvXl+MW/5rbJF82Qs8cbZvHsRh4Z8/K8L/+7wFX9QL8dCeZowptLhpRcq010iJMj7nZM84tv77FDrF0/0ehifU+Kx2BFeVu14FNI0PBs5VDwwGA1QqFVQqFRgMBrRarcvCRGuwFshEKgeOBjJ5wqnQGhQKhdcmJ/wZfkEIAGOZu66uDkqlEitWrJjG9ty9SA8NDaGxsRHZ2dl08ponjkUWMwaDMW1iwZZFsrOw5zxoSQhMe5P+QAYmJychEAgQHR2N/Pz8Wd9cGAwGQkNDERoaivT0dGg0GkgkEkgkEnClvUhns9HaIkNsbCyuKovHttJ4fFI9jKZhGSpc0AoQjIyMoLGxEYsWLTIL95kJLCYDv1+fbfVnYWerB9ctS8Kmonhc80YVvm+R4Iu7luHyojhckBNt9jqXFvKn7ZA/vKUcf93fMS2S2RTPX1EIDotJC3zP58mwz+TnF1qU1VksFmJiYjCqPHfdXVcWDZFwBO1trQgNDaVbC6aOlN+3imk76SvLEvDwBvvuozGhXEimNEg+uzBHBXNxfk40zsvm4Xe7myCe0uCWyhSwWUwwGcb2kESuQVFCKGSD7UgIYWBYTtHJmAQcFhPPbM1HVDAH75406hikcg0eWGtOTkiFgEw1hAeycduqVPx8WTL2NYjw5L42aPQGvHuyf1aEwBKkXaBUKlFXVwc+nw8ej2dmJGb6OPL32YIIeuPj40FRFG2pTAKZTC2VSSCTN0WFCxWCmeEXhGBychJVVVUICwtDZWWl1TIqm822m3boKAwGA9ra2jAwMIDS0lKr4yjuIgTj4+OoqalBTEwMCgsLrY4GzbZCMJPzoGmegWk/0h/IgFgsphMlLUmbu8Dlcs2c38bGxiAWi9Ha2gq1Wg0ej4cLE2NxVUkmAgKcH58ytVMuKSlBTIztnrSzePDiLNy2Ko3OTVieHomTPePYXTM8rW/9VaNwGhkAgGvfrJ7xOFy28Rpqbm7G6Ogozl+xBDhxhv55gAMjl8wQHpaWFNDaDolEQhPlmJgYdKuC8P++6YfOQOHyojg8flnejHqNXbcvwc7qYVxZbt6fZjIYeH57odXnaLVa1NTUgMlk4s2bluD6dwRYnj5d6c1kGIlYdAgXLx7owus/9mFMocXjl+WCffZ7nMMPQRCHBYDCDctTcMvKFIQHGn8X28sSkB8fise+bEFihGNx5c5ALpejqqoKcXFxZjHvptUDd401WgODwaATTi0Dmfr7++lAJq1Wa1Uw7m4sEALH4BeEoL29HUlJSXZjhFksFr2guXpBazQa1NbWQqVSobKy0uaYiqOxwfZAKhA5OTlIS0uz+r5mWyFwxHmQHMNUPOgPZKCvr492iHSHWMoRMJlMeodDURQ9tTA0NISWlhbaES42NhahoaEOjcy2tbVhZGQEFRUVbje3YjIYZiFK1y9Pxsmecfyvegg7LkhHEIcFjd6A5/Z3TDP92V6WQOsDZoJSrUVLUwMaRhQQTEXi9yfMbaEvf+UkKlIjUZgQhqLEcOTEhUwzIqobnMSli/kYlukwoAhAv4aH80qzEAw1JBIJ/vZVP51IeWtxEFRKxYxjZLGhAdhxfrpD7wEw6oVIHklxcTFYLBYO/3qVzcczGAzcdl4aooI5+OPeVuyqGca4QovntxcggM1CRBAHX9+zHFw2ExFB09tYBQlh2HnbUofPz1EQk7HExMRpviKWkwvuGGt0BLYCmcjonmlcsSPfHWexQAgcg18QgoqKihkXYFJ2crUnRaYWQkNDbVYhTI/l6kJtqoOwVYEgmA3xcNR5kMlkQqfTmZEBXwZFUWhtbcXIyIjN6QhvwLS1kJGRQbcWxGIxenp6wOFw6KkFa7awer0eDQ0NmJqawtKlS73S37wwJwbJkYEYGFfhizohzsvm4dc7G+nxwq0l8dhTOwImA/jT5XkOE4KKZ03jhCXTft4jVaJHqqRfj8NiQG+hUvzwzCA+rhqcJl78+dIktIxMQaQ894NHvx3AbTmdCAoKolsLUVFRs7p2SU5IeHi4WbXOkYXpyvJERAZz8JtdTfi+VYLb36/DP39WhLBANmLDvGc7CxjvY1VVVUhJSZlRh2JtrJGQA09WD0ggU0REBPr6+lBWVkaPNpJApujoaPr36g4nQ7lcDh5vutfFAszhF4TAkS8lueHqdDqnRWVCoRB1dXVIT093yOXQVUKg0+lQW1tL5yzMxFiJRbKzcCa2mMlkYnDQuDuMjY31qm+2syBJj0qlEsuWLfMpkZBla2F0dBQSiQTNzc3QarXg8Xi0nTKTyYRAIABFUVi6dKlXnNoAo07gumXJePbbDvz7aA/+fqAL40otwgPZ+MvWfOTGhWJP7QgYYGDjP0+4fJzFiWH44JZysBgMjEyq0TgsQ8OQDI1Dk2gYltm0S7Y2yfDB6el2xfViHVK3LUMkUwWJRIKGhgbo9XpER0ebWVY7CpJUGhMTQ3slOIuLF8Xi/64rxt0f1eN07zhufKcGb91Q6lLMtauYnJxEdXU1LUp1BtaEiZ6uHpA2ZXBwMCIjI5GUlEQHMkmlUnR2dkKpVE6zVHbl97NQIXAMfkEIHAFJB3RmoXY1FdEVQkBuOsTu2BHS4mzLwJXY4pycHIhEIrrsHR4eTpe93WHk4S6oVCoIBAKw2WyXJgm8CeJpEBMTg7y8PExNTUEsFmNwcBBNTU1gMpkIDAzE4sWLvf4+rihNwMuHumnjnoKEUPz9ysVIjgqinRf1FGXmSfDoJbkoSAjFx1VD0wKFTLEkNQJn+iZwaSGf7qMnRAQiISIQFy8yVsLUOj0ufum4VZHib9dl4TmTQKHKjCjkxYViUXwo8uND8egXrXQ1466PG/HhLeUoKOCDoijIZDKIxWL09/ejqakJ4eHh9O+ACNisQSaTobq62mp53VksS4/Cv64pws3vCtAqNMY9E1tjT2NiYgLV1dW0nma2cJcpkj2YJqWaHpdM/JAIdHcEMsnlco8E3c03+AUhcPRL6sxCrdPpUFdXB5lM5nQqorOEQCqVQiAQICkpyal4ZGdEhY7GFpPHkj/BwcHIyMhARkYG1Gpjv1YkEqGrqwsBAQGIjY0Fn8+ftSPZbEDaOe6aJPAmTEezYmJiUF1djdDQULDZbJw5cwZcLpcmYLMtezuCsEA2flGZgn/90IOrz6YdBrCNN1XTvv7KzCg8flkePToHACXJEXh6Sz6kY+N4a38N1NxwMALD8N9Tg+AFc+jvKZlusARFUXj8y1arZCAyiIObVqTgvCwewgLZiAsLmPa9HzdJPxyaUOHOD+vw7k1lCAlgIzw8HOHh4cjKyqKvY4lEgp6eHjPnPVPTKSLqTU9PR0aGuQ+DK9DqDXjtrDAzLiwAF+W5TyBqD2NjYxAIBMjKynJr+BmBrbFG0mKYjaWy6etag61Apra2Nmg0GocDmRSKmTUnC/ATQuAoWCyWQ5MGcrmcdoKrrKx0umTr6M6d2Oi2tbUhPz8fycnTjUnccRxnYotNR48sxYMBAQFISkpCUlIS9Ho9HRJUW2sUiZk6+XkjoQwAJBIJ3c7JyMjwmYqFsyDvIzMzkxaR6vV6urXQ2NgInU7nctnbGdx1fjpuWpGC0ADz32FceACe2rwIYYFsXJQXY/WzlkqlqK2txVXLs4xhUnoDfmgfRf+YEqNnvfltEYI3j/Xh8zohWAwGLs6PwTdNYlSkRqCqbwLjSi1UWoNVi2IAMFAUhs7mRLx1Qyke3NWI5pEpPLCzEf+6psjMd8D0OiaTIRKJBG1tbVCr1YiKikJwcDAGBweRm5tLR0nPBhRF4U/72nCiewxBHBZeubbIK/qB0dFRCAQC5ObmOn1/cRW2qgemGw3yOOJuao0gEL2XMxs+sviTlFPy/eno6EBQUJBZIJPpMWdrTNTT04Mnn3wSBw4cwMjICBITE3H99dfjD3/4g9n3tK6uDnfffTdOnz6N2NhY3Hvvvfjd735n97X7+vqwY8cOHDx4EKGhobjpppvwzDPPeO0ea4p5RQgccSuUSCSora1FYmIi8vLyXNqRkZ07RVE2L2ZTu+MlS5a4FFLhSIXA2dhiMuIz0/tmsVjg8/ng840l2YmJCYjFYnR2dqK+vh48Hg98Ph8xMTF2jWRmg/7+frS1taGgoMDj1qaexNDQEJqbm6e9DxaLRVcHFi1aZLXs7Yn2DYPBmEYGCLaV2v6ciVeC6fvgsJi4+4J0PLSnmX5cmJXXPtk9hhe+7wIAPLIxB0MTxsV9UXwoWkamINfoMTKpQmaM9V1c/5iSdk+sSIvAq9cW4+Z3a3C0cxRP7G3Dk5vybE7qkEUiNzcXCoUC3d3d6O83ZgkMDAxApVLRngf2vhdytQ7vnRrAhnz+NAOqN471YVfNMJgM4G/bC5Af7/nyNCGZixYtcru9uaOwZ4pEKgiA9dbCbEyJGAwGQkJCEBISQgcyjY2NQSqVmul2qqqqsHr16lmHG7W0tMBgMODf//43srOz0dDQgNtuuw1yuRzPP/88AKOGY/369bj44ovx2muvob6+HrfccgsiIyNx++23W31dvV6Pyy67DPHx8Th27BiGh4dx4403gsPh4Omnn3b5fF2FXxACd7QMKIpCT08POjo6UFBQ4JT5i7XjALZtNy137K6mg800ZeCMeHA24UQMBgORkZGIjIxETk4OPW5HnPycHbebCWQSY3h4GOXl5V5P/HIXKIpCd3c3ent7UVZWZlflzGAwzMreKpWKnlog7RvTqQVvt03ImKc1r4TLFsfh/472oktidOIjs/amaB6RgYKxlP6zJYl4cJfRpTA5MggJEYHoEMsxMGabENz+/rlRxhe/78IvV6bib9sLcc/H9dgtGMay9EhsLo6HSqtHIMd6CZrBYGBiYgJCoRAlJSWIioqCVCqlNwkA6ApNdHT0NH3HX/d34pPqIQxPqPHE5ecy6r9pEtFk56ENOdOMmDwBsViMuro6FBYWOqx98gbsVQ8sWws6nc5tpkRsNpu+B5GRYKFQiLfeegsPPPAAeDwe/vvf/yIkJASrVq1yWruzceNGbNy4kf53ZmYmWltb8eqrr9KE4P3334dGo8Gbb74JLpeLwsJCCAQCvPDCCzYJwbfffoumpiZ89913iIuLQ2lpKZ588kn8/ve/xx//+EevCY4J/IIQOApbhIBYA0ulUod87h05DnldywuaKH0jIyNRVFQ0qwveVsvAFfGgO22ICTM3dfITi8Xo7u6me+J8Pt+lREi9Xo/6+nrI5XKfmyRwBgaDAS0tLZBIJFiyZInTgiZLq9/R0VGIxWI0NjbSinrSF/fkTYOiKHR2dmJgYMDmmCeLycDdF2TQi3xo4PRrfltpAl49bLR5/rpRhG+axACAA60SLE4MQ4dYjgNtEpyfMz3PoHZgwkzk+NbxfnxcNYQNBbHgsJhQ6wz48PQgXaWwFRjU39+P9vZ2lJaWIjraeBxTZ72JiQlIJBJ0d3ejoaEBERERaFUEY2+HAm0iBe1YaJqJUDswQR/3umVJVvMK3A2hUIiGhgYsXrzYax4crmCm6oFcLgeTyfSIpTIZCT58+DDEYjFWr16NqakpXHPNNVAqlVi3bh0eeeQRlJc7FqZlDRMTE2Yk//jx4zj//PPNvo8bNmzAs88+i7GxMasbm+PHj6OoqMjs97hhwwbs2LEDjY2NdJqitzCvCIE1t0KlUkk7j61cudItY3WmJS9TjIyMoL6+HpmZmQ570duDtZaBq+JBT5kNmY7bmS5c9fX1MBgMZrqDmVi5Wq2GQCAAk8n06jieu6HX62mb7WXLls26pWLaWjBV1Pf19aGpqQkRERH0z10dy7IGiqLQ3NxMkxp7PdgNBbH4ujEWE0otbdlrioggDm6uTMHLh7rxzx+66f8/3TuOq8oLsKd2BF83ivDA2kw8ua8NE0otYkIDEB3CwZvH+81eKyUqEP1jKnwqODfxUGsS1fz6sT60CKcgntJAptLhztVpqIhSo6enxyapMa2CZWdnQ6lUoqlnGC982wuVBSdPijDeQwbHlbjn43qodQZckBONh9bn2P083YHh4WE0NzejuLjYroeJL8K0ekDGCrOzjbbbnjRFiomJgVgsxvPPP4+cnBzU1NRg3759s5rw6ejowMsvv0xXBwDj/d9SnEoW+pGREauEYGRkZBqpM32Ot+EXhMDVlsHY2BhqamrA5/NRUFDgtgvMcsSR7KK6u7tRXFzsNtZuWSFwl3jQU7BcuCYnJ+nKQUNDA6KiomjdgWUbZWpqig6ScufvytsgvyMWi+WR8UhrrQWxWAyJRILOzk56MiQ2NtalCg0BMU4ilZqZSA2TwcBLVy+2+5gblifjvZMD6LFIhTzUJkFCRACGJ9R4/MtWfNsstvs6ptUCWzjaOUr//UTrAGITlU5VagIDA/GfGtk0MgAA0r52vCIexgfNKowq9MiLC8XzVxSAxfTsd4yMBpeUlNAVDn/E2NgYamtrkZeXRws/PWmKpNFooNVqERYWBiaTiYqKClRUVAAAHnroITz77LN2n9/c3IxFixbR/x4cHMTGjRtx1VVX4bbbbnPpnHwVfkEIHIXpIt3X14fW1lbk5eUhJSXF7QsiORYxy5mcnHR6fNGRY5AKgaviQaLy9TZMvcyzs7OhUCggFoshFArR2moMsCELl0ajQX19vVMpf74IMr0SHh6OxYsXe4XUBAYGIiUlBSkpKWaTIaRCYzq14Cg50Wq1qK2thcFgwJIlS9xWqQkNYOPWVal4/rtOs//f1yhCeUoEhifUNBmozIhCUVI4/u/o9HwFZ7A8KQCXJKiwZMkSp0RlextEONwxCg6LgSAOC5Oqc5XHT3q5kMjlAAB+IIXb8nQYGehFTEwMwsPDPXL9DgwMoK2tDaWlpX7tuEc2abm5ubSOy1NjjQTys78raxWuBx98EDfffLPd55uaPA0NDWHNmjVYuXIl/u///s/scfHx8RAKhWb/R/5tS+cRHx+PU6dOOfUcT2LeEQKtVovGxkYIhUJUVFR47MvDZDKhUCjQ0NAANpvt0viiI8cwGAxOiQd9NbY4ODgYaWlpxlG1swE2xObXYDCAx+MhMjLS7uSGL2N8fBwCgQCJiYnIybGfwucpWE6GkApNT08PGhsbERkZSZMDW4ujWq2mo6TLysrcnkR37dIk7KkdQYdYbvb/dSYlfwDYVByHHzvHZn28W/IMWFKx1Clh75hCg2e+aQcAZMeGoHlkyuznErkWAWwmbj8vDdcviYds3Dj61tfXR5tSxcbGgsfjuWV0rK+vD52dnSgrK/NbgS1gTgbsjUjaM0UyHWt0tHowNWX8/VnTI5FNiSMYHBzEmjVrUFFRgbfeemvaMSsrK/GHP/wBWq2WJt/79+9HXl6ezd9bZWUlnnrqKYhEIvD5fPo54eHhKCgocOi83AkG5Y2oKTdArVbP+JiWlhYMDQ0hMDAQZWVlLqv7HcGhQ4eg0+mQkJDgMbMcmUyGY8eOgclkzol40JMgLpH9/f3IyMigS986nY6+oTqzq51LiEQiNDQ0IDs72yPGMO6AUqmkSdjo6CiCgoLomyEZt1MoFKiurkZERITV9E13gaIo9I0pcck/TwIAeMEcjCrMzYruXJ1Gm/zYwnNXFOBwuxRf1Aut/rwkhom3f7nCad3QQ3ua8HmdEJkxwVDrDBgcN29RXJATjUc25piZNgGgbXfJ56xUKhEVFUVfy64IZHt6etDd3Y3y8nK3h195E46SgZlgWT2wrIRaqx40Nzdj7dq1mJycdPmaHhwcxIUXXoi0tDS88847ZkSZ7OQnJiaQl5eH9evX4/e//z0aGhpwyy234MUXX6SnDD799FM8/PDDaGlpAWBszZWWliIxMRF//etfMTIyghtuuAG33nrrwtjhbDAxMYGBgQGw2WwsX77coxnbZHY5OTkZhYXWY1RnC4PBgM7OTlAUNaOPgTfEg+4E6U/LZDIsX76c3q2azuL39vbSu1o+n4/Y2FiPEjxXQZTr3kxddAVBQUF0a0Gn05mN21EUhcjISIyNjSEhIcFlP39HwWAwEBN6rpp21wXp+PNX7WaPmYkMrM7m4dJCPi4p5E8jBLlRLLSN6RERGeE0GTjSIcXndUIwABQnhVu1an7lmiKbngfEdpd4HhBy0NbWhuDgYHoyxBF9R1dXF/r6+lBRUYHw8HCn3ocvgThCusM8yRVTpKmpqVn7eOzfvx8dHR3o6OiY9h4IKYmIiMC3336Lu+++GxUVFYiJicFjjz1mNnI4MTGB1tZW+t8sFgtffvklduzYQSfs3nTTTfjTn/7k8rnOBn5TIdBoNDZzs0mUcHR0NN339AQMBgNaW1sxNDSEgIAAZGZmesQQhAjTtFotpqamsG7dOqsEx1I8OFd6AWegVqtRW1sLBoOBkpISu20WpVIJsVgMsViMsbExhISE0LtaT/VqHQWpcAwODqK0tHTOUhdnC4qiaAMoDocDrVaLqKgoukrjybHPimcOQ6nVY9/dy/H/Pm9Bdf+E1cdtL0vAV40iKDTG65zLYuLzHcuQygvCj52juM3Eo8AUF+ZE45Vrix0+H7lGhy2vnsbQhAo3Lk/Gsa4xdIjlYDMZYDMZUOkMyOGH4LM7lzn9Xk1JmEQiMdN3REdHm30PTEc9Kyoq/NqDf3x8HNXV1V5xUrQcayTrxQ8//ID77rsP/f39Pn9/nGv4dYWAROEODAygtLQUWq2WdiBzN7RaLQQCAdRqNSorK9HU1ORyBLI9mIoHS0tLcfDgQasGSNb6ab5+sZNJAlKSnqmKExQUhNTUVKSmpkKr1dKCuerqarBYLLNerScrQpYgo59jY2NYunSpX3uki0QitLe3Iz8/H0lJSWYkrL29HcHBwXTJOzIy0q3XWEwo12h5LNfgsUtzsfXfp81+vrGAjwcuysTeBiFNBgDg6opEpPKM1SJCIlKiAnFxog7vNumgP7tvcGanozdQeH5/J4YmVEiMCMS9azLAC+GiQyzHnavTkBJlJB+lKa6V7dlsNuLi4hAXF0frOyQSCV0JI66U0dHRGB4exsjIyIyjnr4OUhnIycnxiq2yteqBRqPB3//+d0xMWCebCzCH3xICooRWKpV0qUUoFHpskSahNCtWrACbzXY5AtkeLMWDhOHq9XqzXrppmcxdZh6ehlQqRV1dHVJSUpCVleX0wsLhcGgTGeJPLxaL0dLSAq1W65UMAOBchLVWq8WyZct8Oi56JhDlelFRES1oMiVhZFfriTyLmv4JTKmNyn2pXIvy1Eg8eFEm/nbW8e+2Val44CKjuVCURYTwf08NoFU4hc3FcdhaEo9wLtDV1TuxJwAAW2pJREFU04e3Gs09Oxy9ws70juOZb9pp8eAfL8tFCJeN289LM3ucuxwITSdwTF0pyegoRVGIi4uDUqlEUFCQV8muu0DIQHZ2tluyIpwFGdm+//776ckmX98w+QL8hhAwGAx6gSQLdEhICCorK+kbkycX6dTUVDP1uDuPZct5kOz6Tc2J/E08CBgFOS0tLcjPz3dLi8XUn940XtiaUY87d+8qlYoOxVqyZMmchI+4A5aWyrb0KZa7WiKYI3kWRDDnjL5jXKnFi9934pPqYQDGxX5RvHEX/MtVafjlqjRMKLUIPxuQpNLqsfPsYwGgNDkctQOTON07jtNnw5SswRigZF89Pjiuwt++68TXTSIARgfCX1+UhfOyvTvjHxgYiKSkJExOToLL5SI7OxuTk5NoaWmBRqMBj8ejya6nckPcibkmA4CxQvCrX/0Kx48fx8GDB+cs68Hf4Hd3NKFQiPr6eqsjeNacCl2FafbB4sWLp4XrOJpEOBNmch40zTPwNzJAeqH9/f0zevm7CtN44czMTHpaQSwWo6Ojgy55EzW9q58ZaXfweDy/i2A2BWmzCYVCp4x6GAwGoqKiEBUVRSfNkc+5ra0NISEhdPXA2udMURQ+rxPir/s7MHZ2ouCK0gQ8eHEmooLNKzoRQRz6OY9/2YrGYRmigjn4361LkBQZiJFJFf5ztA8fnhm0eq4lSeG464J0LEuPtPpzhUaPN37sxZvH+6HWGcAAcGV5Iu5bk4HoEO+7Y1IURbegiAkUCV+Ty+WQSCR0bgjR0ZAwJl+7B/gKGfjNb36DgwcP4uDBg3N2Hv4IvyEERMTV3d2NoqIiq6YN7tq1O5J94I5jOeI8SIiHqYuXP5AB8hlOTk5i6dKlXuuFmhr1mJa8iX21acnb0VLs6OgoXSXyZ+Mkg8GAhoYGTE5OYtmyZbOa2rD0lTD9nBkMBr1oRUdHo3dMjT/ta6N39NmxIbhxeTKKksIRwrV9C3r35AC+qDfGJb+wvZC2RI4PDwSbsk38awcncccHdeCwGChMCENZSgT958fOUbz4fReEMuMY87K0SDy0IYeuUngbBoMBjY2NkMlkWLp0qVkLytSTPz09nfbvkEgk9OdsqqOZ6xFdXyEDDz/8MPbu3YtDhw4hPT19Ts7DX+E3UwbV1dWQSCQoLy+3uatRKBQ4cuQI1q9f7/JNm5SFAaCsrMxmia6trQ1ardblsUNHnQcPHTqEoqIieuzIH8SDGo0GAoEAAFBaWuoTmQRkRpzsatVqNa07iI2NtXmOJPI3Ly/Pa3nznoBOp0NdXR00Gg3Ky8s99jsxGAx0VPbgiAifdajx/SATegoIYDNx5+o0iKc0+OC0cXfPYjCQFh2EXH4ocvgh9J+BMRXu+KAWBgp4eEMOblh+7rOXSCQ4eKoOLRoeNpSmYVl6FLR6A5qGZajpn0BN/ySq+ycglWtsnmdSZCB+uy4L6xbFztn3yWAwoL6+HgqFAhUVFU79TsjnTMYaFQqFQ8ZTnsLExASqq6uRlZU1Z14cBoMBf/zjH/HBBx/g4MGDyMvLm/lJCzCD3xACiUSCgIAAu18ajUaDAwcOYP369S6VdMlFHR0dPaMKvrOzE3K5HMXFjo81ETjjPHjkyBHExsYiOTnZL5L/TO17HZkkmAuQpDVCDiYnJ2mVN5/PpwOCent70dnZiaKiIr8LkjEFqUSx2WyUlJR4Tfvw4K5GfNVo7M+X8llYn6DB3gEOGqXnUgOn1ParbFtL4vHU5nO+CCTpr6CgYFobzxQURaF/TIWa/glU90+gpn8CHWI5gjgs3LE6DTetSEYAe+6uTYPBgNraWqjVarcQNEvjqcDAQJoceDou2xfIAEVRePrpp/H666/j4MGDc+LyNx/gN4RAp9PNWKLX6/XYv38/1q5d6/QXjHgZZGdnIz09fcZdQ09PD8bGxpyKp3QltnhoaAhDQ0OYmJhAWFgYbdIzW6MNT4CU1pOTk+0SHV+DWq2myQG5mbJYLCiVSpSVlfmtxwBgXCiqq6sRFhbmtXwFAJCrdah87ih0Bgp/216AvLhQ3P1RPXpHlQhgAdfnABV8BpghPEwwQiBUsdAhUaBdJEenWAGN3oCSpHC8fVMpvXCTcB9XCdqkSgsui4lAztySVL1eT0+qlJeXu73Ur9PpMDo6ShMEEpdNWmXunIzxFTLw/PPP4+WXX8aBAwdc2qQtwAi/0RA4AluxxPZAURTa29vR19eH0tJSh280zmoInIktNhUPJiYmIikpCRqNBhKJBCKRCF1dXfQOgM/n+4S4aGhoCM3NzX5ZWg8ICEBycjKSk5PpdsfU1BQYDAYEAgFiYmLA5/Pd5k3vLZBpnNjYWI+7D1riWNcYdAYKqbwgLIoLw8/fqsKEUoeEiAD882dFyOOH0C0cpngYwWo1KtJ4iKmIR1R0DMbVAD8sAFy28Tvd19eHjo6OWYX7hAfOvQ22Xq+HQCCAwWBARUWFR64nNpttlmkhk8kgkUjQ39+PpqYmhIWF0dWDsLAwl68LXyED//jHP/DSSy9h//79C2RglvCbu5sjF61lLPFMIDPlcrkcK1ascEr45sxxnI0ttmZDzOVykZiYiMTERDrVTiQSQSAQ0CKuuTDpoSiKtlgtLS3161hW4m0BAOeddx44HA69aLW3t0OlUtEjYLGxsT7tQUAEXnMlhDzULgEAFCWG4Y4PajGh1GFxYhhevbaYVvJb2vyKxWKMjIzQaZjqs4sWCQ6qqKjwaz9/nU5HiwHLysq8Qi5N47IzMzOhVqtpAWhPTw/YbDZtp+yM0NZXyMCrr76KZ599Ft988w0dabwA1+E3LQMSNTwTDh486FCZlwS5BAQEoLS01Omy3cjICLq7u1FZWWn3cc7EFrviPGgqlhOJRNBqtV4LByIK6fHxcZSVlfm1q5pSqURNTQ2Cg4NRVFRk9cZoqjvw5RYOiT/OycmZE7W3gaJwwQvHzER9KVGBWLcoFm8e78eO89Nx74UZNp+v0WhowisWi0FRFPh8PhITE71OeN0FrVZrpuPwhfdADL5Ia0GtVpuFMdmaQiFkIDMzE2lpaVYf42lQFIU33ngDjz76KPbt24dVq1bNyXnMN8w7QnD48GEUFhba3alKpVI6qjYvL8+lvqpYLEZrayvOO+88u49xJraY/Cpc7fNSFIWpqSn6Rjo1NYWoqCh60XKnqYlGo0FtbS0MBgNKS0t9erc8E2QyGaqrq8Hn8x0urWs0GpocSKVSBAQE0JUDR4JrPAXSulm8ePGchS01DE3i6terbP48KTIQ+++zT6QpikJzczMkEglt1CORSKBWq/2mSkOg0WjozUdxcbFPkAFLUBRlFsY0Pj5uZltNEjF9hQy89957+O1vf4svvvgCF1544Zycx3zEvGoZAPZL+STIpbW1Ffn5+bPqdc90HGfFg+4wGzI16cnKyqJ96Yl1J+kd8vn8We1o5XI5BAIBQkNDsXjxYp+8wTkKYqmcnp7ukJiUgMvlIikpCUlJSdDr9RgdHaV35gaDgdYdzNbi1xmQqFxPmUA5ih/apXZ//q+fFdn9OfFLmJqaMjPqMZ0OIQLDsLAwuiI2m364p6DRaFBVVUVXnnzV0IrBYCAkJAQhISG0twS5pkkbLTw8HGNjY8jIyJhTMvDhhx/iN7/5DT777LMFMuBm+E2FwGAwQKvVzvi4kydPIiUlZdoibDAY0NzcDKFQaNeu1VFMTEygqqoKa9eunXYcIh6cqXXhTedBU1Ei2dES4ZEzosSxsTHU1tYiMTHRzMrZH0F20zONsDkDiqLoOXwyH266o/WE9SwRxg4NDaG8vHzOo3IL/nTQ6v//ZWs+NhdPNxQzhV6vR11dnUPjeOSaJlUaNptN72h9obWgVqtRVVWFsLAwFBYW+iwZmAkURdHfFS6XC41GQ9uDE88Db90Hdu7cibvuuguffPIJLrnkEq8c86cEv6kQOAprO3ci6tPpdKisrJyVQ5sjx5lJPAjALL/bG86D1kSJYrHYKVHi8PAwmpqakJub69d2oKZe/u4WQjIYDERGRiIyMtLM4pdUaUJDQ+kqTWho6Kx/776WvPjB6YFp//fzpUl4ZGMOmDO8V51OB4FAAIqiUFFRMaP+xfSathZ4ZZoB4O3WgkqlQlVVFZ3s6c/EWSaToa2tjR7JJmFMYrEYnZ2d4HK5Zp4HniJin3/+OXbs2IEPP/xwgQx4CH5TISBRljOhpqYGUVFRtGUl6Q9HRERg8eLFbivfKpVK/PDDD9iwYQMYDIbHxYOegjVRYnR0NPh8Pi1KNF1Ai4qKEBPjntS3uYDBYEBLSwskEgnKysq8mjVvuaPlcDg0EXPFPIbsplUqlV1XTW9hSq3DsmeP0P/OiwvBf39RbteemICQaQ6HM2vRHdHSiMViSCQS2niKtBbcQcTsQalUoqqqis698GcyMDk5iaqqKmRkZFi1ASbtMmKpTIgYmVxw1zW5b98+3HTTTXj33Xexfft2t7zmAqZj3hGCuro6hISEICsrC0KhEHV1dcjMzHT76JWpK6JUKvWqeNBTsCZKjIyMhF6vh0qlsmsb7Q8gCygxHHJHpWg250J2tJbmMY5Mh2i1WjN76Ln2sQcAvYHCAzsbEMhh4b4LM5Ac5djnq1Kp6PRST/TZ1Wq1GREz3dHyeDy3Hk+hUKCqqgqxsbHIy8vzezJQXV1N62tmArl/kM96cnKSrojFxMQgPDzcpc9j//79uO666/D666/jmmuuceGdLMBRzDtC0NTUBCaTCQ6Hg66uLhQXF3tEba3T6fDdd98hJycHXV1dDokHDQYD9Hq9X4QTAcbqSm1tLTQaDQwGA0JDQ2ndgS+N2TkCsgNlsVgoKSnxiQWUgKIoTE5O0uRALpfbjRYmC6i9EUl/AdlNR0VFeSVF0pKI6XQ6MyI2GwthuVyOM2fOICEhwe/1NTKZDFVVVQ6TAWsgFTGJRAKpVEqHixHPA0eqtYcOHcLVV1+NV155BTfccINff6b+AL8hBICR6c+E5uZmiMVi2gnMUztaYpPM5XJRXl7uM+JBd0GhUKCmpobeten1epr5k1wJMs4YGRnp0++JeE6Eh4d71b7XVZDpELFYjLGxMTryNjY2FiwWa17EMAPnnBT5fP6c7KZNWwtisRgymYzOtHDWW4K0DJOSkpCVleXT34eZQMhAWloaMjJs+0U4A9KaJARBoVCYeR5Yy2k5evQotm/fjhdffBG//OUv/foz9RfMK0KgVCpx4sQJUBSF8847z2OJbmS3SfLL7Y14eVs86A6Mj49DIBAgISEBubm5087ZVJQoFosBgBbK+YK62xQTExOoqanx26kIEnlLiJher6fHSqOjo/2WEJBydEpKis9ESpNMC7KjDQgIoHUH9jQe5L0QV0h/hifIgDWYeh6MjY0hODgYFEVhfHwcF198MWpqarBt2zY8/fTTuOuuu3zi+vgpwK8IgUajga3THRsbo53myK7dEzAVD0qlUixbtszqmBexISaTCHMtHnQUJO43JyfHIUtSEsNKdAcajcYsVnguS/PEFyA7O3vO7FXdBWKmlZCQACaTCbFYTAtAfeGzdgZjY2MQCARzam4zE0y9JQgRi46OpkveZLNBjHpsie78Cd4iA5bQ6XSQSqX48ssv8fjjj0Oj0SAwMBAbN27Eiy++6NdJo/6GeUEIBgYG0NzcTO9mRSIRlixZ4vbjWzoP/vDDDygpKZnmaWApHvQHMkBRFG1s42qanGkJViQS0U6JtnrhnsTAwADa2tpQWFg4Z4597gIhaaZ+CbYEoOSz9tWobIlEgrq6OuTm5vpNCBYJCCIVsampKURERCA0NBTDw8PIysryWWLjKOaKDFiiuroat956K1JTUzE6OgqBQIDly5fjsssuw69//es5n6SZ7/BrHwKDwYDW1lbakCU6OhpDQ0NOpRA6AlvOg0wmc9qxbIUT+TKIaZNUKsWSJUtcNrYxdUrMzMw064W3tbXRokRPjn5RFIXOzk709/e7xYBqrkFS/kpKSszGPS1dKVUqFf1Zt7e307azsbGxPpGGCQBCoRANDQ0oLCxEfLx9gyJfgmlAEPmse3t70dfXBwaDgf7+fqhUqjm3rXYVvkIGGhoasHXrVtx///34wx/+AAaDgaGhIezbtw9Hjx71C5tqf4dfVQi0Wi09v0/GroijGdkRiUQidHR0YOXKlW45pj3nwWPHjiE7Oxt8Ph+Af4oHtVot6urqoNFoPDrLrtVq6QWLiBKJ7sBdokRTkx5/D1sixGZgYAClpaUzhnWZQqfTmekOmEzmnKVhEgwODqK1tdXl6pMvgYwZL1q0CHFxcZBKpfTnbTAYnBofnWsQMjDX+ofm5mZceumluOOOO/DEE0/4xb1zPsIvCQFRJ4eEhKCkpMRsfEUqlaKxsRHnn3/+rI9n6jxobW79xIkTSEtLQ0JCgl+KB0nCX1BQkF0zJXeD9GdJuRsAvWA5E8FqChJlrdVqUVZW5te7CdNgn/Ly8lkRG0vjKUuNh6eEt6bo7e1FV1cXSkpK5jRjwR0gupT8/PxpdtfWxkcjIyNpYeJcu0hawlfIQHt7OzZu3Igbb7wRzzzzjN9VWOYT/I4QCIVC1NbWIjU11apqnOTAr1mzZlbHcsR58PTp04iPj6cDbgD/0AsARjGUQCBAXFwccnNz5+xLSJTFZMFSq9Vm8c2OLFgqlQoCgQBcLhfFxcVeIzaegF6vR0NDA+RyOcrLy91asSHhQISIyWQy2pPeEwsWRVHo6uqi2zcRERFufX1vQyQSob6+3uEkSaVSSVcORkdHERQURF/Xc91amJqawpkzZ+acDHR3d2Pjxo248sor8be//W2BDMwx/IoQtLe3o7W11a4JkEwmw4kTJ7Bu3TqXj+NobHF1dTWioqJocZS/kAGhUIjGxkZkZWUhNTXVZ87ZdMEiosTIyEhad2BNlDg1NTVv5vK1Wq1ZpLSnd++mnvSjo6MIDAyk2ziz1R1QFIW2tjaMjIygoqLCr9s3gFHY2dTU5HLLQ6fTmU0tkERMUhXzZmuBkIGUlBRkZWV57biW6Ovrw4YNG3D55Zfj5Zdf9uvv7nyBXxGCnp4eBAcH291pWGYMOANnY4vr6uogl8uRnJwMPp/v8/1C8v66urqwePFiWvvgq7A06LEMBiJ+CeTG5ivExhWo1WrU1NSAy+XO2svfFZDRL7JgAa63cSiKorUcpvoefwWJWi4uLnZLjgdJxCRkjDhTEoLgyc/LV8jA0NAQ1q9fj4svvhivvfbaAhnwEfgVIdDpdDNOEJCMgXXr1jl1E3MltlipVGJ4eJgeRYqKiqKtfX2th01CfcRiMUpLS/2ufEsMekh8M5PJhFarpVtH/nxDIU6KJBlvrt8L8ZYwbeOYRjjbu7YNBgPq6+s90vKYC5Dx1ZKSEremYprCkviSCRHSWnAX0fUVMjAyMoKNGzdi5cqVeOONN3zKyOynDr8iBHq9HjqdbsbH7N+/H2vXrnW45DqTeNAUtsSDSqWSLnVPTEwgPDycJgdzvUPS6XR0xnxpaemchvq4A93d3ejq6kJkZCRkMhmA2YsS5wokjTM+Pt6qK+Rcg7RxyIJFkgOt2fvq9Xo6+6K8vNwrgkVPor+/Hx0dHSgtLfXa+Kq1So1pa8FVfQzRRCUnJ88pGRCJRLj00ktRWlqKd99916/1PvMR844QUBSFb7/9FqtXr3ZoIXYmtthR50FigSoSiTA6OoqQkBCaHHg6etUSSqUSAoEAAQEBfi+4I33p4eFhWqRGyq+EjKnVarP4Zl9elEZHR1FbW0sHyPgaGbAGy+RAMj7K4/HQ3d0NBoOBsrIyv77OgHOTETNVCz0Jcm0TMmbq/++M0ZevkAGpVIrLLrsMubm5+PDDD32+xfpTxLwjBADw3XffYfny5TMGGzkqHjQ1GwKcEw+alrpNQ4HcIdyaCZOTk6ipqUFsbCwWLVo056Xo2UCv16OxsRGTk5M2+9LWVPQziRLnCsSkZ9GiRUhKSprr03EJJNNCKBRCKBQCAOLi4sDn82e1m51rdHd3o7e3F+Xl5S6bdHkClv7/ISEhdPXA1r3EV0KXxsbGsGnTJqSkpOCTTz7xaaL+U4ZfEQKDwQCtVjvj4w4ePGiX2TsrHiRmQwwGY1aLKrmBEnLAYDBocmAvPMUViEQiNDQ00H7x/rD7tAViQkVRlFPqe+LeJxKJrIoS5+ozIX1pfxB2zgQSxRwSEoLU1FR6wVIoFGa6A3/QEpiOSXoyKdUd0Gq1ZoZIDAaD1h0QMuYrZGBiYgJbtmxBdHQ09uzZ43P6qgWcw7wkBIcPH0ZBQYFVRbAr4kFPmA0ZDAY6l10kEkGv19OL1Wz64BRFoa+vD52dnfPCx5+YJwUHB6OoqMjlz8VSlMjhcMzim71RPaEoit59erMv7SkoFApUVVUhOjoa+fn5Zt8PU93BxMQEwsLCaHIwl2TMFiiKQkdHB4aGhvxuTNJUBCoWi6FUKhEeHo6pqSkkJibOSbQ0gUwmw7Zt2xAcHIwvvvjCp6p0C5iOeUkIjh07hqysrGmLoTPiQW/aEBOHM9IHV6lUdCnQmRQ7g8GAtrY2CIVCv5wksAQR3PH5fOTl5blt0TZNshOLxaAoCjExMbMmY/ZAURRaW1shFApRXl7u07tPR0B2n46IITUajZnugMPh0Ne2uytjroBoU4RCISoqKnzOUdBZkAApDocDtVqNkJAQ+vMODw/3GjmQy+XYvn07mEwm9u7d6/ef608B85IQnDx5EikpKWatAGfFg3NlQ2zNnMeRcUadTof6+noolcoZyY4/QCqVoq6uzuOCO2+IEg0GAxoaGjA5OYmKigq//91MTEygpqYGKSkpyMzMdOp3Y0nG5tKgBzD+/ltaWiCRSFBRUTHnE0GzhVwux5kzZ+g2Acm1IH+YTKbZ5+2piRylUomrr74aarUaX331ld8T4J8K/IoQUBQFjUYz4+POnDkDPp+P1NRUAN4RD3oKjowzqlQq2tSmuLjY79W7Q0NDaG5uRn5+vl19h7thOmInEoloUSJp5biykJORz/kyikciabOzs+nvl6uw5v3vzbhsUwOl+UDUCBlITEy0ep8zzbWQSCRQqVTg8Xg0QXCXzkOtVuPaa6/F+Pg4vvnmG7+vVP6UMC8JgUAgQEREBNLT050WD5KPY67LmNZgbZwxIiICIpEIMTExKCgo8MnzdhQURaGnpwc9PT0oLi72mBGMo7AUJZLx0djYWISFhc1IFkmLis1mTwvh8keQYJ+8vDyPTEYQFb1IJML4+DgtAnX083YGBoOBnlqpqKjwC9GjPcxEBmw9x1TnQT7vmJgYl1sLGo0GN9xwA4aGhvDdd9/5vU7mp4Z5SQjq6+sRGBhIL6BzKR70FLRaLS1QYzAYCAwM9No4oydgMBjQ2toKkUjkkz12IkokuyvSByfxzZZETKlUorq6GmFhYVi8eLFfEzXA6C7X2NjocLDPbGH5ebPZbLMI59l8nqSFQ9wU/V317goZsIRGo6ENkYgTqLOR2VqtFjfffDO6urrw/fffu8XmeQHehV8RAsC4S54J9fX1kEql4HK5DokHibeBL7QIHEVfXx86OjpQUFCA2NhYr40zegJ6vR51dXV+o3+YSZRIyADxf/CXa8oWyJiku7z8nQWZyCH+EjqdziwR05kWmcFgQF1dHVQq1bxo4cjlclRVVSEhIcFlMmAJ8nkTQuaIdbVOp8Ntt92GhoYGHDx40CvjtM888wx2796NlpYWBAUFYeXKlXj22WeRl5dHP0alUuHBBx/ERx99BLVajQ0bNuCVV17x++krT2HeEYKpqSmcOHECHA4Hq1at8lnxoKswdesrLS2dVvmwNc5Ibp6+Zuur0WggEAjAYDBQWlrqd/oHUzc5kUgEpVIJwGg3m5+f7/e7z56eHnR3d/vMmCRFUZDJZDQZI4mYjug8iLWyVqtFeXm5311rlvAEGbCEqa5GIpHQI6QxMTGYnJxESUkJKIrCjh07cPr0aRw6dAgJCQluPw9r2LhxI6655hosXboUOp0OjzzyCBoaGtDU1ERPNOzYsQN79+7F22+/jYiICNxzzz1gMpn48ccfvXKO/ga/IwQajQa2TpmIB8PDwxEQEICSkhKrj/NF8aAjIJMECoUCZWVlMyqirY0zEgW9M+OMngIJ9QkPD0dhYaHPkRVnIRKJUF9fj+joaKjVashkMkRERNCftz8p2CmKQmdnJwYGBnzOsc8UlsFAtkbs9Ho9BAIBPXI819f+bEHIQHx8PHJycrx2/yIjpAMDA9i0aRMCAgKQmZmJ/v5+HD58GDk5OV45D2sQi8Xg8/n44YcfcP7552NiYgKxsbH44IMPcOWVVwIAWlpakJ+fj+PHj2PFihVzdq6+inlBCCydBzUaDcbGxlBWVjbt+f4gHrQGlUoFgUBAC9ScvaG5Os7oKZDRtYSEBJ8M9XEWZDLCtMdORIlisdgs08ITIjl3gngmED2Hv5j0EPc+spslfXAej4e+vj4wmUyUlpb6vbhToVDgzJkzXicDlpDL5bjvvvtw/Phx6HQ6jI2NYd26ddi0aRM2b96M2NhYr55PR0cHcnJyUF9fj8WLF+PAgQO46KKLMDY2ZlZJTUtLw/33348HHnjAq+fnD/DvbwbMnQeXLl2KyMhIDAwMWM088McWAWA06KmpqQGPx3N5koDBYCA0NBShoaHIzMykxxlHRkbQ2trq1XRGolbPyspCWlqaR4/lDZCyellZGXg8Hv3/gYGBSElJQUpKiplIrre3d0ZR4lyBfJ/Gx8exdOlSn9dzmILD4SA+Ph7x8fF064xkRlAUhdjYWHoix1+1A75CBgwGA/70pz/h6NGjOHToEDIzM9HQ0IAvvvgCb7zxBrhcLm644Qavns/999+PVatWYfHixQCMQlgulzutrRoXF4eRkRGvnZs/we8IAYPBoHf3ps6DK1asoG9eLBaLTiUk8MdJAuCc61h6ejoyMjLcdt5BQUFIS0tDWlqa2ThjR0eHR9MZBwYG0Nra6jW1uidBURTa29tpu1t7ZXUOh4OEhAQkJCTAYDBgdHSUbjEYDAaf0HkYDAbU19dDLpdj6dKlfq1/YDKZCA8PR0dHB3g8HrKysiCVStHf34+mpiZERESYRTj7AwgZiIuLm3My8Pjjj2PXrl04dOgQnaBYVFSEoqIiPPLII14/p7vvvhsNDQ04evSo1489n+B3hIDAnvOgJSEgVQF/IwP9/f1oa2tDQUGBR4U6AQEBSE5ORnJyspnnf29vL7hcrlvGGUlPur+/H+Xl5T4hUJsNyE56bGwMS5cudWpRIW5xMTExZqLEjo4ONDQ0gMfj0a0Fb+1kSY9dp9NhyZIlfruDJtBoNKiqqqIzMJhMJiIiIpCZmWnWyuno6EBwcDBNDnx1ZNeUDMxli42iKDz99NP473//i4MHDyI3N3dOzsMU99xzD7788kscPnwYycnJ9P/Hx8dDo9FgfHzcrEogFAoRHx8/B2fq+/A7DYFWq4VQKLTrPCiVStHY2IjVq1fTlQHAf8SDpjvPkpKSOVs8STojuXmSRLW4uDinxhlNF8+ysjK/6UnbAhmTVKlUKCsrc6upjWl88+TkpFdEiVqtFjU1NfOmx65Wq1FVVYXQ0NAZPSB0Op2Z7oDBYHjF2tcZkBApPp8/52Tgueeewz//+U8cOHAAxcXFc3Iepudz77334tNPP8WhQ4emCRqJqPDDDz/E9u3bAQCtra1YtGjRgqjQBvyOELS3t6O1tdWu8+DExASqqqpw/vnn+514UK/Xo6GhAVNTUygtLfWZciaxPSWiREfHGXU6HWpra6HRaNy+eM4FSBQzAI+PSVoTJRLdgbtEiRqNBtXV1QgICEBxcbFPLICzgUqlQlVVFSIiIpzW25ha+5L5++joaPoan4sWii+RgX/84x947rnnsH//flRUVMzJeZjirrvuwgcffIDPPvvMzHsgIiKCbh/v2LED+/btw9tvv43w8HDce++9AIwBeAuYDr8jBD09PQgKCrLrPCiTyXD8+HEsW7bMJ6NWbUGtVkMgEIDJZKKkpMRny7aOjjOq1WrU1NSAw+HMC+telUqF6urqWUcxuwKioCfmU+5IDCSL53xxU1QqlaiqqgKPx5sWx+wsTOfvSbUmPDzcTHfg6fuKL5GBV199FU899RS++eYbLFu2bE7OwxK2Po+33noLN998M4BzxkQffvihmTHRQsvAOvyOEOh0ummCQVNQFAWtVouGhgZIJBIEBwd7TCDnTkxNTaGmpgaRkZEoLCz0m5uzrXHGiIgIDA0NzWoywpcgl8tRXV1NLzZz+X6IKJEIQU1FidHR0Q4RL/J+oqOjZ714+gLI4hkTE+MRd0givCXVmsDAQDPdgbuvB6VSSYe0zTUZeOONN/Doo49i3759WLVq1ZycxwK8A78jBHq93upIITBdPKjX6+mbpkQiMfP792Yu+EwgUb+pqalOx8n6GpRKJXp6ejAwMAAAdA/cG+OMngLxTEhKSvKYI5yrMK3WiMViKJXKGW1mZTIZqqurZ+V970sgJj3eEtxZamsAmOkOZlsJI2QgNjYWeXl5c0oG3n33Xfz+97/HF198gQsuuGBOzmMB3sO8IATEhtieeFCv19PqeRKWwufzERcXN6fKYjKG5+2oX09BKBSisbERubm5iI2NnZbO6A/VGlNIpVLU1tb6jWeCNVEi0R0EBwdjfHwcNTU1SE9PR3p6ul/8DuyBTBvNFbmxtK4mkcJEd+CsZsaXyMCHH36IBx54AHv27MFFF100J+exAO/C7wmBpfOgI5MEBoOB7scS9TwhB94yiaEoCh0dHRgYGEBJSYmZoY2/ggQuFRUVTXMpMx1nJMFTvp7OSBL+PD326SlYxmUHBARArVYjNTV1TufY3QWZTIaqqiqkpKT4TGXNMlI4LCyMrtbMRIJ9hQwAwM6dO3HXXXdh586d2Lhx45ydxwK8C78jBAaDAVqtFoB7zIZMk9REIhHtaBYXFzfrmFVb0Ov1dBZ7WVmZz0wSuArTMcmysjJERETYfby7xhk9CUJu5irhz90YHh5GY2MjwsLCoFAowGKxaBGor3zmzmBiYgLV1dW0YZcvgvj+ExIcEBBAkwPLjYcvkYHPPvsMt956Kz788ENs3rx5zs5jAd6H3xICTzgPUhRlNlqn0+nocqu7ZpJJuh9gHFvz1UkCR0Gy5ScnJ1FeXu60TsDVcUZPwTTUxxFy4w8YHh5GU1MTioqKwOfzp5Fgg8FgFt/s69MgpO2RmZnpF20cYHpkNvnMycSCQCDwmCDSGezduxc333wz3n33XXp2fwE/HfglIVCr1R53HjQVawmFQmg0GvqmGRMT49JNc2pqCgKBYN6k+2m1WtTW1tIJcrMlN3OdzkhRFJqbmyGRSPwq1Mce+vv70d7ejpKSEkRHR0/7uSuixLnE6OgoBAIBcnJykJKSMten4xLIZy4WiyEUCqFQKBAQEID09HTw+fw58+rYv38/rrvuOrz++uu45ppr5uQcFjC38DtCsHPnThgMBqxduxZBQUFeYdMURWFqagpCoZDOvHd2oRodHUVtbS1SUlKQlZXlE/3O2UCpVKKmpgZBQUEeMbTxdjojMYSSy+UoLy/3ewMlAOju7kZPTw/Kysrs+naYgvTARSIRPXtPrvO5bm0RgWdeXh6SkpLm9FzcAeKbEBERgbCwMEgkEoyPjyM0NJQmZN5KxTx06BCuvvpqvPLKK7jhhhv8/v60ANfgd4Tg+eefxz//+U+Mjo5i48aN2Lp1K9atW+fVm5VcLqfJwdTUFO09z+fzre6SBwcH0dLSgkWLFs2LGxlJXyQlTm/0n0k6o0gkwsTEhFvTGUmlw2AwzIs2DhGsDg0Noby8HGFhYS69jqUokXh6xMbGen1slyRk5ufn+6XA0xKEDERHR5u1CTQaDS14lkqlbjGgmglHjhzBlVdeib///e+45ZZbFsjATxh+RwgAY9vg9OnT2LVrFz799FMMDQ1h/fr12LJlCy655BKXb4CuQKFQ0AvV5OQkIiMjzXaxJNCnuLjYasnW30A8E+ZybM1yoZrNOCNxU+RyuSgpKfH7Ng5FUWhpaaHbHu4iysTzn4ztslgsWl/jaVEiSYWcDwmZgNE978yZMzM6KpoaUInFYuj1ejMrZXe00E6cOIFt27bhmWeewY4dOxbIwE8cfkkITGEwGFBbW4udO3di9+7d6OnpwcUXX4zNmzfjsssu8+pIm0qlosnB+Pg42Gw2KIpCUVHRvFGqNzU1+ZRnwmzGGRUKBaqrqxEREeFX7pC2YDAY6OmV8vJy2s/dE8chokSyUHlKlCgUCtHQ0EALIv0djpIBS1AUBZlMRn/mcrkcUVFRdPXAld/1mTNnsHnzZjzxxBO47777FsjAAvyfEJiCoig0NjZi586d+PTTT9HS0oILL7wQW7duxeWXXw4ej+eVi16j0aCmpgZarRaBgYF0XzAuLg58Pn/Oe7HOgqIo9PT0oLu726Y4zRdAlNym/hK2xhmJW198fPycWsO6C3q9HvX19VAqlSgvL/eaGNBUICcSiaBQKMzim2dzHsPDw2hubrbqa+GPcJUMWINSqaQrB2NjY3TwlaPtHIFAgMsuuwyPPPIIfvOb3/j99b8A92BeEQJTUBSFtrY27Nq1C7t370ZtbS1Wr16NrVu3YtOmTeDz+R75EsjlctTU1NCBMSwWC1qtllYUj46OIigoiCYHvu7YR0rQIpFoVv1ob8PaOCPZxTKZTDQ0NMwbtz6SKEmmPTw9jWEP7hIlDg4OorW11acJqDNwJxmwBKmSicViSKVSup1DdAeWbbCGhgZceumleOCBB/DII4947fo/fPgwnnvuOVRVVWF4eBiffvoptm7dSv/85ptvxjvvvGP2nA0bNuDrr7/2yvktYB4TAlNQFIXu7m6aHJw5cwaVlZXYsmULNm/ejMTERLd8KcbGxlBbW2vX816n00EikUAoFPp0vgJwbtepUChQVlbmsRK0p2E6Wjc0NASNRoOwsDCkpqZ6ZZzRk9BqtaipqQGLxfK5REnTQCCpVIrg4GBad2DvWiejkqWlpfPCwdOTZMASpJ1DPnetVgsOh4O6ujps374dY2NjuOSSS7Bjxw788Y9/9Or95quvvsKPP/6IiooKXHHFFVYJgVAoxFtvvUX/X0BAAKKiorx2jj91/CQIgSkoikJ/fz92796N3bt349ixY1i6dCm2bNmCLVu2IDU11aUvydDQEJqbm5GXl4fk5GSHnkMc+wg58JV8BeCcgRKDwUBpaalfL5oEJDciJycHOp1u2jhjbGysX40bqtVqVFdXIygoyOtxzM7CUVFib28vurq6nBqV9GV4kwxYgoxLHz16FI888gg6OjoQHR2NxYsX49///jdycnK8di6WYDAYVgnB+Pg49uzZM2fn9VPHT44QmIKiKLp0tWvXLhw5cgQlJSU0OXDEL4CiKHR1daGvr29WkwS+kK9AoFAoUFNTg9DQULrt4c8gFaLe3l6Ulpaa7Tg8Oc7oSZCxtcjISL+LlzbdxZq2cyiKgkQiQUVFxbxwiCRkICoqCgUFBXNK8Lu6unDllVfSG55Dhw4hOzsbmzdvxj333OP1cWhbhGDPnj3gcrmIiorC2rVr8ec//3letIz8BT9pQmAKcjMi5ODgwYPIz8/Hli1bsHXrVqv+4gaDAU1NTRgbG0NZWZnbnO3mIl+BYGJiAgKBYN6I7SiKQmtrK4RC4YwaCHeOM3oScrkc1dXVPmF1O1uQdk5bWxvGx8fBYDDcJkqcS6hUKjPCNpe/o97eXmzcuBGXX345Xn75ZTCZTExOTuKbb77B559/jieeeAKZmZlePSdrhOCjjz5CcHAwMjIy0NnZiUceeQShoaE4fvy4329K/AULhMAKKIrC2NgYPvvsM+zevRv79+9HZmYmtmzZgm3btqGgoAASiQS33HILbr/9dmzYsMFjNy5v5CsQEPMXf4n6nQkkZ0Emkzk9hmcq1JJIJD6TzkgS/uzpVPwJpiZKFRUVYDAYZmmB4eHh9PXuL9M5vkQGBgcHsWHDBlx88cV47bXXfKaSZI0QWKKrqwtZWVn47rvvFuKXvYQFQuAAJiYm8MUXX2D37t345ptvEBsbC7VajYyMDOzatctr5U1P5CsQkP56YWEh4uPj3XjWcwOdToe6ujpoNBqUl5fPyn3Q1jgjn8/3eMXGFCTUx5cT/pwBmQQSCoWoqKiYtuCr1WraY4JM5zgiSpxL+BIZGBkZwcaNG7Fy5Uq88cYbPrXLdoQQAEBsbCz+/Oc/44477vDOif3EsUAInMT+/fuxfft2pKeno7u7GzExMdi8eTO2bt2KpUuXem1xcEe+AnkdooGw7K/7K4gPBJvNdrvy3t44oyfTGYmPvz+H+pjC1FGxoqJiRr0GESWS6gGTyaSvdW+SMntQq9U4c+aMT5ABkUiESy+9FGVlZXjnnXd8avoEcIwQDAwMIDU1FXv27FmIYfYSFgiBE/joo49w66234rnnnsOOHTugUCjwzTffYNeuXdi7dy9CQ0OxefNmbNmyBZWVlV5l5M7mKwDGxa25uRmjo6Nu1UDMJZRKJaqrq2kfCE8uFN5KZyTWvQUFBfPCx5+kSo6OjqKiosLpcVZrokTyuUdHR8/JRAwhA8T1ci7JgFQqxWWXXYa8vDx88MEHPjMhNDU1hY6ODgBAWVkZXnjhBaxZswY8Hg88Hg9PPPEEtm/fjvj4eHR2duJ3v/sdZDIZ6uvr/VZL4m9YIAQOQqfTYe3atXj44YdxySWXTPu5SqXCd999h127duHzzz8Hl8vF5Zdfjm3btmHVqlVe/VLay1cgY3WkpK5Wq1FWVuZX43a2MDU1herqasTGxnpdbGcvnXE244xDQ0NoaWnB4sWL54V1LxHiTkxMoKKiYtbXnTVLX9P4Zm9c175EBsbGxrBp0yakpKTgk08+8amgrkOHDmHNmjXT/v+mm27Cq6++iq1bt6Kmpgbj4+NITEzE+vXr8eSTT86L/Ap/wQIhcAIURTn0ZddqtTh48CB27tyJzz77DAaDAZdddhm2bduGCy64wKtfUst8hfDwcERHR0MoFCIgIMDnzGxcBemvp6amIjMzc877y+4YZ+zr60NHR8e8MeghIs+pqSlUVFR4ZNdHyLC3RIlqtRpVVVUIDw+fczIwMTGBzZs3IzY2Fp9++unCrnoBTmOBEHgYOp0OR44cwc6dO7Fnzx4oFApcdtll2LJlCy666CKv7sw1Gg36+/vR09MDg8GAsLAwv81XMAWZjvDV/rpGo6HJgSPjjKa+CeXl5fNiJt9gMNCulxUVFV4hxRqNxmyMlLiCxsbGumVSxJfIgEwmw7Zt2xASEoIvvvhiXlT8FuB9LBACL0Kv1+PYsWN0bPP4+Dg2btyILVu2YP369R43whkfH4dAIEBSUhLS0tJoC2V/y1cwBXGI9JdoXGvjjMRjgiz87e3tGB4e9qvsCHvQ6/V0e6qiomJOetrWRImzmRTxJTIgl8uxfft2MJlM7N2716/J/QLmFguEYI5gMBhw+vRpOplxZGQE69atw9atW7Fx40a3LwRCoRCNjY1Wd9GW+QoBAQE0OfDV8S4AZgmM/lhStzbOyGazodVqUVFRMW/IgEAg8IngJQLTSRHi9x8TE4PY2FjExMTMeI6EDBDh6lx+P5RKJa666ipoNBp89dVX8+KaWcDcYYEQ+AAMBgMEAgFNDnp6enDxxRdjy5YtuPTSS2dd3iS9aEeEabbyFfh8PiIjI32CHFAUhfb2dgwNDaG8vBzh4eFzfUqzhk6ng0AggEwmA5PJhMFg8Mo4oydB3hNFUSgrK/NJrYqzokRfIgMqlQrXXnstJiYm8M0338yL1tIC5hYLhMDHQFEUGhsbsXPnTuzevRutra1Ys2YNtm7dissuuww8Hs/hm5DpwllaWup0WIytfAXLQBpvwtQuury8fF6UR01L6uXl5eBwOF4ZZ/QkTFMYS0tL/YbQKBQKWncwMTGBsLAws8/dV8iARqPB9ddfj+HhYXz33Xfzwj9kAXOPBULgwyBObrt27cKuXbtQX1+P1atXY+vWrdi0aRNiY2Nt3pSIontychJlZWWzXjht5SuQ2W9vkAOycKpUqnkzKkl20QaDwWpJ3VPjjJ6EVqtFdXU1OBwOSkpK/IYMWIKIEkl8M0VRCA4ORn5+/pxWy7RaLW6++WZ0dXXhwIEDC+E/C3AbFgiBn4A4Cu7atQu7d+9GVVUVKisrsXXrVmzevBkJCQn0DUosFqOmpgYREREoKytzu6LbWr5CTEwM4uLi3J6vQEB2nPMpjtnUUdHRXbSvpzNqNBpUV1cjMDAQxcXFPuEgOFtoNBqcPn0aHA4HQUFBkEgktCiROCV6i/TodDrceuutaGxsxMGDB+eFN8UCfAcLhMAPQVEU+vr6sHv3buzevRsnTpzA0qVLsXnzZlRUVOD2229HZWUl/v3vf3v8RmWZr6BWq2lyMNt8BQKVSoXq6moEBwejqKjIb3ecpiC96JCQEBQVFbm0cJJxRrKDnet0RvKeSGz2fCED5PdE3tNsRYmuQq/XY8eOHTh9+jR++OGHeZE5sgDfwgIh8HNQFIWhoSF8+umnePfdd1FbW4vFixdj8+bNuOKKK7xq0kPyFQg5UCqV4PF4iIuLc7n3TaJ+eTwe8vPz58Uio1QqzQJw3PGeyKSISCSyOs7o6WuAhPqQMbz58HuyRgYsQUSJRHcgl8s90tIxGAy49957cfToURw8eBDJyclued0FLMAUC4RgnuDAgQO44oorsGPHDqSlpeHTTz/FwYMHkZ+fj61bt2LLli3Iy8vz6q6R9L6FQqHD+QqmmJiYQE1NzbyJ+gXO2Svz+XyP/T68nc5ICE5UVNSch/q4C46QAWsgokSxWIzx8XEzUWJISIhLn43BYMCDDz6Ib7/9FocOHZoX0eQL8E0sEIJ5gD179uC6667DK6+8gptuugmAcecyNjaGzz77DLt27cJ3332HrKwsbNmyBdu2bfP6blupVNLhS7byFUxB0v2ysrLmzQ1wcnIS1dXVSE5ORlZWllcWTk+nMyoUClRVVSEmJsbr+RGegqtkwNrrkKqNVCpFYGAgTcwcrdoYDAY8/PDD+Oyzz3Dw4EFkZWW5dC4LWIAjWCAE8wBdXV3o7OzEunXrbD5mYmICX3zxBXbt2oVvvvkGycnJ2LJlC7Zu3YqSkhKvkgNr+Qp8Ph9xcXEICgrCyMgIGhsb5026H2AMnREIBMjIyEB6evqcnIO70xnlcjmqqqoQFxeH3NzcBTJgB8Tfg7R0SNXGnijRYDDg8ccfx0cffYSDBw8iNzfXLefiCA4fPoznnnsOVVVVGB4enhZVTFEUHn/8cfznP//B+Pg4Vq1ahVdffRU5OTleO8cFuB8LhOAnCJlMhn379mHXrl346quvEBMTg82bN2Pbtm1YsmSJV8mBpc8/l8uFRqPBokWL5k2fVCKRoK6uDrm5uT7znmY7zjg1NYWqqiokJibOm3YOIQNEvOqp7wGp2hDdgVarpYlZYGAgoqKiQFEUnnrqKbz55ps4cOAACgoKPHIutvDVV1/hxx9/REVFBa644opphODZZ5/FM888g3feeQcZGRl49NFHUV9fj6amJp8chV2AY1ggBD9xKBQKfP3119i1axf27t2L8PBwbNq0CVu3bsWKFSu8pugnnguDg4MICwvD5OSk3+YrmEIoFKKhoQGFhYU+rQpXKpUQi8UQCoVm44yk920KmUyGqqoqpKSk+ESypDvgLTJgCVMhbltbG6655hqUlpYiLS0NBw4cwA8//ICioiKvnIstMBgMM0JAURQSExPx4IMP4je/+Q0AYwUyLi4Ob7/9Nq655po5PNsFzAYLhGABNFQqFfbv34/du3fjs88+Q0BAADZt2oRt27Zh1apVHrOepSgKzc3NkEgkKC8vR2hoqN/mK5hicHAQra2tKCoqQmxs7FyfjsOwN85oMBhQU1ODtLQ0ZGRkzPWpugVzRQasobm5GX/5y19w8OBBjI+Po6ysDFu3bsXWrVvnTLBpSQi6urqQlZWFmpoalJaW0o+74IILUFpaipdeesnr57gA98D3zMUXMGcIDAzEpk2bsGnTJmg0Ghw8eBC7du3CTTfdBIqicPnll2Pr1q244IIL3GZ2pNfr0dDQALlcjmXLltHlRjabjfj4eMTHx5vlK1RXV/tkvoIlent70dXVhdLSUr8LXuJyuUhOTkZycrLZOOOpU6dgMBgQFRWFyMhIUBTlk5+9MyBGSr5ABiiKwoEDB/Ddd9/hm2++QWZmJvbu3Ys9e/bgqaeewtNPP437779/zs6PYGRkBACmpYvGxcXRP1uAf2KhQrCAGaHT6XDkyBF88skn2LNnD5RKJS6//HJs2bIFa9eudblnqNVqUVtbC4PBgNLSUodIhi/mK5iCOEr29/ejrKxs3gTOjI2Nobq6GomJiTAYDF4ZZ/Q0tFotqqqqEBQU5BNk4PXXX8djjz2Gr776CitXrjT7uUKhgEajcTqPxB2wrBAcO3YMq1atwtDQkJno9+qrrwaDwcDHH3/s9XNcgHuwUCFYwIxgs9lYs2YN1qxZg5dffhnHjv3/9u48LMpyfwP4DSqiMgbqKIEskjkqaDCYlJUCLogiM3Tl8Vgq7qZGHcGjmMc1E02PqeVSWW6tyjsshpKioCaYyog6LBoooMAMW4AQ6/D+/vA3cwARRWbmnYHv57r6w7cJvueoMzfv+zzPHY/Q0FAEBQWhpKQE3t7eEIlEGD9+/DMfn1tdXY3r16/DxMQELi4uz7xWoeGRsQ37FWQyGSf9Cg2p1kHI5XKMGDECZmZmOv3+2qLaAioQCNSLIhtuZ0xJSdH4dkZt07cwcOTIEaxZswYnTpx4LAwAQPfu3fXiaGoA6rUwCoWiUSBQKBSNHiEQw0N3CMhzq6+vx5UrV9S1zQqFAhMmTIBYLMbEiROf+IH4999/QyqVavSkPi76FZp+/5SUFBQXF8PV1VVv3rzbSrVDYvDgwbCysmr2NZrezqhtqjCgD30LLMvixx9/RGBgICIiIuDp6cnZLE/ypEWFy5cvR1BQEIBHZ2z07duXFhUaOAoEADIzM/HJJ5/g3LlzkMvlsLKywowZM7B69epGt7Fv3ryJpUuX4urVq+Dz+QgICMCKFSs4nFx/qBabqWqb79+/j7Fjx0IsFmPSpEnqhYDx8fGQSqUYP3681vau66JfoSFVs2R5eTmEQmG72XaluvMydOjQVu2QUK2a18d2Rn0KAwBw/PhxLF26FKGhoZg4cSKnszRUXl6O9PR0AICLiwt27NgBDw8P9OrVC7a2tti6dSu2bNnSaNvhzZs3aduhgaNAACA6Ohq//PILpk+fjoEDB0Imk2HBggWYOXMmtm/fDuBRAh40aBDGjRuHVatW4datW5g7dy527tyJhQsXcvy/QL+wLAuZTKYOB3fu3IGnpyecnJywd+9eBAQEYM2aNTpZkKaNfoWGlEolbty4gZqaGgiFQo03S3JFtV1y2LBhbWrUa812Rm3TtzAQHh6OhQsX4qeffsKUKVM4naWpuLg4eHh4PHbd398fhw4dUh9M9PXXX6OkpARvvvkm9u7dq9PDk4jmUSB4gm3btmHfvn24e/cuAGDfvn1YvXo15HK5+k0/ODgY4eHhSEtL43JUvcayLG7fvo2NGzfi2LFjGDRoEKysrCASiTBlyhTw+XyD6ldoqK6uDtevXweAdlPJDAB5eXlITU3V+HbJ5rYzqgqYtH3OhL6FgV9//RVz5szB0aNH8fbbb3M6CyEqtKjwCUpLSxttF0tISMDo0aMbfWh4eXlh69at+Ouvv2BhYcHFmHrPyMgIFy9eRGRkJBiGgaOjIxiGwffff4/AwECMGjUKIpEIvr6+ePHFF7UeDnr06IEBAwZgwIAB6n6F3NxcpKWlPbVfoSHVdjUTExO88sorer+I7lmpzk545ZVX0Lt3b41+7SdtZ7x69Sq6dOmita2ktbW1kEql6Nq1q16EgdOnT2Pu3Ln47rvvKAwQvUJ3CJqRnp4OV1dXbN++HQsWLAAATJgwAQMGDMBXX32lfl1KSgocHR2RkpKCIUOGcDWuXpNIJJg3bx4iIyPx1ltvqa+zLIvs7GwwDIOwsDBcvnwZr776KkQiEUQiEWxsbHR65+Bp/QpNXyuVSmFmZqbR8+659uDBA9y5c0fnZydos51RFQZUwY3r36vY2FhMmzYN+/btw4wZMwz+HAfSvrTrQBAcHIytW7e2+JrU1FQMHjxY/eucnByMGTMG7u7uOHDggPo6BYLnU11djczMTAgEgie+hmVZ5ObmQiKRQCKR4Pfff4ezs7O6tnnAgAE6feNs2q9gZmamDgdGRkaQSqXtquoXALKzs5GRkQEXFxdO9rqraLKdUd/CwMWLF/HOO+9g165dmDNnTrv5s0Paj3YdCFTPKlvi4OCgfgyQm5sLd3d3vPbaazh06FCjN5BZs2ahrKwM4eHh6muxsbHw9PREcXExPTLQEJZlkZ+fj/DwcDAMg7i4OAwdOlQdDnTdqldbW6suoSksLAQA8Hg8DBkyBDwer128qWdmZuLevXsQCoV6dZBSW7Yz6lsYSEhIwNtvv40tW7bg/fffbxd/bkj7064DQWvk5OTAw8MDrq6u+P777x/7SUS1qFChUKjfiD7++GNIJBJaVKglLMuiuLgYERERYBgGMTExePnll9W1zUOGDNHZG31paSmkUqn6VnpRURFMTEwMrl+hqbt37yI7OxtCoRA9e/bkepwWPet2Rn0LA9euXYOvry82btyIgIAAg/xzQjoGCgR4FAbc3d1hZ2eHw4cPNwoDqv3XpaWlEAgEmDBhAlauXAmZTIa5c+fi888/p22HOsCyLEpLS3HixAkwDIPTp0/DxsZGXduszcVixcXFuHHjBhwcHGBnZwegcb99QUGBQfQrNMSyLDIyMpCTkwOhUAgej8f1SK3ypO2MFhYWuH37Nrp06aIXYSApKQmTJ0/G6tWrERQUpPd/LkjHRoEAwKFDhzBnzpxm/13D/3saHkzUp08fBAQEYOXKlboakzTw8OFDREVFgWEYREdHg8/nq8OBq6urxj4ICgoKcOvWLQgEAlhbWzf7mvr6ehQXF0OhUOhlv0JTLMvizz//RF5eHkaMGKHz8wA0raamBgUFBZDL5SguLkanTp1gY2MDS0tLTmuzZTIZvL29ERQUhFWrVlEYIHqPAgExeBUVFYiOjoZEIkFUVBR69uwJX19fiMViuLm5PfeWQLlcjuTkZDg5OT3W7PYkqkVxCoUC+fn5nPcrNKU6F6KgoKBdHbFcV1cHqVQKY2NjWFlZobCwEIWFhVrdztiS1NRUeHt7Y/HixVi/fj2FAWIQKBCQdqWyshJnzpyBRCJBZGSkutLZz88Po0aNeuZji1Vb8IYPH44+ffo81yyqxxyqcKDqV+CqAIhlWaSmpqr7FppupzRUqjDQuXPnRmdCaHM7Y0vu3LkDb29vzJ49G5s3b6YwQAwGBQLSbtXU1CA2NhahoaGIiIgAAPj4+EAsFj92yFRDqlX3zs7OGts90tyKeVU44PP5Gu9XaO77Jycno7S0FK6uru3mvPknhYGmNLmdsSV3797FxIkT8Y9//APbt2/n/I6Qvjhy5AiWLVuG3NxcdO3aVX1dLBaDx+Ph6NGjHE5HVCgQ6LlPP/0UUVFRSEpKgomJCUpKSh57TXM/gfz000/UOtZAXV0dLly4gOPHjyMiIgJVVVXw8fGBSCSCp6cnunbtivr6enzyySdwdnaGh4eH1lbda7tfoamG5Uuurq6N3pAN2bOGgaa01c6YlZWFiRMnYsqUKdi9ezeFgQYqKyvx4osv4ptvvsHUqVMBPCrPsra2xunTp5vtTSC6R4FAz61btw7m5uZ48OABvv322ycGgoMHDzZqSzM3N283PwVqmlKpxKVLlxAaGorw8HCUlZXBy8sLDx8+xJUrVxAREQEXFxedzdO0X8HCwkIdDtr64V1fX49bt27h77//hqura7spX3reMNAcTbQz5uTkwMvLC+PHj8e+ffs4DQPr16/Hhg0bGl0TCAScb49esmQJMjMzcfLkSQDAjh07sGfPHqSnp9NjFT1BgcBAHDp0CP/617+eGAga9pWTZ1dfX49Lly5h8eLFuHfvHnr16oWRI0dCLBbDy8sLZmZmOp1H1a+Qn5+PsrKyVvUrNKVUKnHz5k1UV1e3qyZGVamUsbExnJ2dNboWQ7WdsekR1i21M8rlckycOBFvvPEGDhw4wHmvxfr16xEaGoqYmBj1tc6dOz/3WhhNuX79Ol599VVkZWXB2toaw4cPx9SpU7FmzRpO5yL/Q4HAQDwtEFhZWaG6uhoODg54//336WjUZ1RdXY13330Xt2/fRnR0NORyORiGgUQiwf379zFu3DiIRCJMmjRJ54cPtaZfoSlVLXNdXR1cXFzaTROjNsNAU6rtjPn5+SgqKkL37t3Rt29f8Hg88Pl8GBsbIz8/H97e3hAKhThy5AjnYQB4FAjCw8ORlJTE9SiPcXV1xTvvvIMJEyZg5MiRyMzMhI2NDddjkf9HbYftwMaNG+Hp6Ynu3bvj9OnTWLJkCcrLy/Hhhx9yPZre++CDD5CdnY3z58+jd+/e6N+/P0aMGIHNmzdDJpPh+PHj+Pzzz7F06VJ4enrC19cXPj4+sLCw0Ho4MDU1ha2tLWxtbRv1K6Snp6v7Ffr27fvYXQylUonr16+DZVkIhUKtL1jUFV2GAeBRO6O1tTWsra0btTOuW7cOCQkJcHd3h0wmg5OT02MHmnHtzz//hJWVFUxNTfH6668jJCQEtra2XI+F+fPnY+fOncjJycG4ceMoDOgZukPAgecpXWrpDkFTa9euxcGDB3H//v22jtruZWZmolevXi0uIGRZFmlpaQgNDUVYWBhkMhnGjBkDkUiEKVOmoE+fPpz1KxQVFaFbt27qOwempqZISkrS2Yemrug6DLSkoqICx44dw4EDB5CSkgJzc3OIxWL4+fnB09OT80czp06dQnl5OQQCAfLy8rBhwwbk5ORAJpNxfiJlaWkprKysUFdXhyNHjmDatGmczkMao0DAgdaWLgGtCwRRUVHw8fFBVVVVu1lRri9UR/6qwoFUKsUbb7wBkUgEX19fWFpa6jQcNPzJtaCgACzLomvXrnBycjKII5SfhT6FAeDRh5qvry/69u2LY8eO4erVqwgLC4NEIsHDhw+RmZnJaWNkUyUlJbCzs8OOHTswb948rsfBrFmzEBUV9dgWRMK99nEv0cDw+Xzw+Xytff2kpCRYWFjQXzYtMDIywsCBAxEcHIyVK1ciKysLDMOAYRisWLECI0eOhEgkgkgkQv/+/bX+gdy5c2dYWlqiV69eqKiogJGREXr06IGkpCSD61dojr6FgYcPH+Ltt9+GhYUFGIaBqakp3N3d4e7ujp07dyI5OVmvwgDwaMfRoEGDkJ6ezvUoAB7tyHjvvffo/UkPUSDQc9nZ2SguLkZ2djaUSqV6odDAgQNhZmaGEydOQKFQ4LXXXoOpqSnOnDmDzZs3Y/ny5dwO3gEYGRnB3t4eQUFBCAwMRE5ODiQSCSQSCVavXg0XFxd1bbO9vb3WPpBramqQmJiI7t27Y9iwYTA2Nm7Ur3Djxg2971dojmothL6EgYqKCkydOhWmpqYICwt7bNeHkZERnJycOJruycrLy5GRkYGZM2dyOsdff/2FuLg4xMXFYe/evZzOQppHjwz03OzZs3H48OHHrsfGxsLd3R3R0dFYtWoV0tPTwbIsBg4ciMWLF2PBggUG8abfHrEsC4VCgfDwcDAMg/Pnz8PR0VFd2/zyyy9rLBxUVVVBKpWCx+PB0dGx2d9zfe9XaI4qDACAi4sL52GgsrISU6dORW1tLU6ePMn5s/iWLF++HFOmTIGdnR1yc3Oxbt06JCUlISUlRat3Jp/G3t4ef/31F9asWUM/sOgpCgSEaBHLsiguLlaHg7Nnz2LQoEHqZsYhQ4Y8dzioqqrCtWvXYGFhgaFDhz7T19G3foXm6FsYqKqqwvTp01FaWorffvsNL7zwAqfzPM0///lPXLhwAUVFReDz+XjzzTfx6aef4qWXXuJ6NKLnKBAQoiOqD+PIyEhIJBL89ttvsLOzU4cD1e3+Z1FZWYlr166hd+/ezx0quO5XaI6+hYGamhrMmDEDcrkcZ86c0Vi3BSH6iAIBIRwpKytDVFQUJBIJTp06hX79+qnDgVAofGI4qKiogFQqBZ/Ph0Ag0Mjjh4b9Cvn5+aioqEDv3r211q/QHH0LA7W1tfD390dmZibOnj2L3r17czoPIdpGgYA8t2cpXsrOzsbixYsRGxsLMzMz+Pv7IyQkpN0clqMpFRUViI6OBsMwiIqKgrm5OXx9fSESieDm5qb+cLx+/TpkMhnc3Nw0uhahuXm01a/QnKaHKXEdBurq6jB//nykpKTg3Llz6Nu3L6fzEKILFAjIc3ta8ZJSqYSzszMsLS2xbds25OXlYdasWViwYAE2b97MzdAGoLKyEmfOnAHDMDhx4gRMTU3h6+uL4cOHY/Xq1Zg9ezY2bdqks22ElZWV6nBQVlaGF154Af369XuufoXmqHbP1NfX60UYUCqVWLx4MRITExEbGwtLS0tO5yFEVygQkDZ70qFJp06dgo+PD3Jzc9GvXz8AwP79+7Fy5UoUFBRwfqKbIaipqcG5c+ewf/9+REVFwdHREUKhEH5+fhg9erTOOwqqqqpQUFAAhULRqF+hb9++6N69e6u/XsMw4OLiwvmdI6VSiYCAAFy6dAlxcXGwtrbmdB5CdEn/9huRdiMhIQHDhg1ThwEA8PLyQllZGZKTkzmczHCYmJigV69eOH/+PDZt2oT//ve/MDExwcKFC9VFVtHR0aiurtbJPKamprCxscGIESMwevRoWFlZobi4GPHx8bh8+TLu3r2L8vLyZ/pa+hYG6uvrERQUhAsXLiAmJobCAOlw6EEu0Rq5XN4oDABQ/1oul3MxksFJTEzE+PHjsWnTJgQEBAAAxo4diz179uD3338HwzD46KOP8PDhQ3h7e0MsFmPcuHFPbUPUBBMTE/Tv3x/9+/dv1K9w7969Rv0KZmZmjz3e0McwEBwcjOjoaMTFxcHOzo7TeQjhAt0hII0EBwfDyMioxX/S0tK4HrPDeOmll3DgwAF1GFDp1KkTxowZg927dyMrKwsnT56ElZUVVq1aBXt7e8yaNQsSieSZf1pvqy5dusDKygrOzs4YM2YMHBwc8Pfff+Pq1au4dOkS7ty5g9LSUrAsq5dhYO3atQgLC0NMTAwcHBw4nYcQrtAaAtKIJouX1q5di8jIyEa97Pfu3YODgwOkUilcXFw0OTrBow83qVSK0NBQSCQSPHjwAOPHj4dIJMKkSZNabHXUBqVSiaKiInX5kmrBYJcuXTBixAidr4FoimVZbNq0CQcPHkRsbCyGDBnC6TyEcIkCAWmzpy0qzMvLU2/b+vrrr/Hvf/8b+fn5VG6iZfX19bh165Y6HGRkZGDs2LHw9fWFj4+PzguPamtrkZiYiKqqKgCPzv7n8/no168fJ/0KLMvis88+w969e3Hu3DkMGzZMp9+fEH1DgYA8N1XxUmRkJLZt24aLFy8C+F/xkmrboZWVFT777DPI5XLMnDkT8+fPp22HOsayLFJTU9W1zcnJyRgzZgzEYjF8fHzQp08frYYDpVKJGzduoK6uTn3oEpf9CizLYteuXdi+fTtiYmIgFAq1+v0IMQQUCMhze1rxEgBkZWVh8eLFiIuLQ48ePeDv748tW7Zw/ty4I2NZFunp6epwcP36dbzxxhsQi8Xw9fVFv379NBoOmoaBpr/3TfsVamtr1eFAG/0KLMti7969CAkJQXR0NEaOHKnRr0+IoaJAQEgHxrIssrKywDAMJBIJ/vjjD7z22msQiUQQiUSwtrZuUzh4Whhobh5t9iuwLIsDBw5g7dq1OHXqFEaNGtWmr0dIe0KBgBAC4NGHZU5ODiQSCRiGQXx8PIRCoToc2NvbtyoctDYMNDdPc/0KqoOQWrsgkWVZHD58GMHBwfj1118xevToVv33hLR3FAgIIY9hWRYKhQJhYWFgGAYXLlyAk5MTRCIRxGIxBg4c2GI4UCqVuHnzJmpra+Hi4qKR3QRt6VdgWRY//vgjAgMDERkZCQ8PjzbPowl79uzBtm3bIJfL8corr+CLL76gRxiEMxQISIdhb2+PrKysRtdCQkIQHBzM0USGgWVZFBUVISIiAgzD4OzZsxAIBPD19YVYLH6sfrmyshIymQwsy2osDDTV2n6F48ePY+nSpWAYBl5eXhqf53n88ssvmDVrFvbv3w83Nzfs3LkTx48fx+3bt6lMiXCCAgHpMOzt7TFv3jwsWLBAfY3H46FHjx4cTmVYWJZFSUkJIiMjIZFIcPr0adjZ2UEkEsHPzw8vvfQSxGIxXn75ZezatUsn5ww07Vfg8XhQKBQYOHAghg4divDwcCxcuBA///wzfHx8tD7Ps3Jzc8Orr76KL7/8EsCjbaI2NjYICAigkEo4QUu9SYfC4/Gova4NjIyMYGFhAX9/f/j7+6OsrAy//vorJBIJxo4dC3Nzc5iamuLjjz/WWWuhql/BxsYGNTU1yM/Px1dffQWGYWBjY4OCggKEhIToVRioqalBYmIiVq1apb5mbGyMcePGISEhgcPJSEdGRxeTDmXLli3o3bs3XFxcsG3bNtTV1XE9kkHr2bMn3n33Xfzwww8YM2YMunXrBldXV0yfPh2Ojo5YuXIlEhISoFQqdTKPql/hu+++w8GDB9GtWzcMHjwYK1aswNChQ7FmzRokJSWB6xujhYWFUCqVzXZ9UM8H4QrdISAdxocffgihUIhevXohPj4eq1atQl5eHnbs2MH1aAaturoaU6dORWFhIa5duwZzc3NUVlbi9OnTYBgGU6dORbdu3TBlyhSIxWKMGjVK6+dQxMbG4v3338f+/fvx3nvvoaKiAidPngTDMJg8eTLu3r1LJ2US0gStISAGLTg4GFu3bm3xNampqRg8ePBj17/77jssWrQI5eXl9OHQBleuXMHy5csRGRkJc3Pzx/59TU0NYmJiwDAMIiMjYWxsDB8fH/j5+eGtt97S+DqDixcv4p133sGuXbswZ86cZpsWdfU440lqamrQvXt3hIaGQiwWq6/7+/ujpKQEERER3A1HOiwKBMSgPU8Zk0pycjKcnJyQlpYGgUCgrRE7BJZln+mMgtraWpw/fx6hoaEIDw9HbW0tfHx8IBaL4e7u3uZglpCQAD8/P3z22WdYtGiRTrsaWsvNzQ0jR47EF198AeDRokJbW1t88MEHtKiQcIICAemwfvjhB8yaNQuFhYWwsLDgepwOR6lU4vfff1cfoVxeXo5JkyZBLBZj7Nix6NatW6u+3rVr1+Dr64tPPvkEH3zwgV6HAeDRtkN/f3989dVXGDlyJHbu3Iljx44hLS3tsbUFhOgCBQLSISQkJOCPP/6Ah4cHeDweEhISsGzZMnh7ezfbx0B0S6lU4vLly2AYBmFhYSgsLMTEiRMhEong5eX11K2hSUlJmDx5Mv7zn/8gMDBQ78OAypdffqk+mMjZ2Rm7d++Gm5sb12ORDooCAekQpFIplixZgrS0NFRXV2PAgAGYOXMmAgMDaf2Anqmvr0diYqL6zkFOTg7Gjx8PkUgEb29v9OzZs9HrZTIZvL29sXz5cgQHBxtMGCBE31AgIITorfr6ety8eVMdDjIyMjB27FiIRCJMnjwZcrkc3t7eWLJkCdatW0dhgJA2oEBACDEILMsiNTUVoaGhkEgkSE5ORqdOnfDRRx9hy5YtFAYIaSMKBIQQg8OyLJKTk/H555/jm2++gbExnbFGSFvR3yLSZgUFBbC0tMTmzZvV1+Lj42FiYoKzZ89yOJn+27NnD+zt7WFqago3NzdcuXKF65EMgpGREZycnPDtt99SGCBEQ+gOAdGIkydPQiwWIz4+HgKBAM7OzhCJRHQKYAuo7Y4Qok8oEBCNWbp0KWJiYjBixAjcunULV69epRX8LaC2O0KIPqFAQDSmsrISTk5OuH//PhITEzFs2DCuR9JbdHQtIUTf0MM3ojEZGRnIzc1FfX09MjMzuR5Hr1HbHSFE31DbIdGImpoazJgxA9OmTYNAIMD8+fNx69YtehZOCCEGgu4QEI1YvXo1SktLsXv3bqxcuRKDBg3C3LlzuR5Lb/Xp0wedOnWCQqFodF2hUMDS0pKjqQghHRkFAtJmcXFx2LlzJ44ePYqePXvC2NgYR48excWLF7Fv3z6ux9NLJiYmcHV1bbQts76+HmfPnsXrr7/O4WSEkI6KFhUSwhFquyOE6BNaQ0AIR6ZNm4aCggKsXbtW3XYXHR1NYYAQwgm6Q0AIIa1gb2+PrKysRtdCQkLo7Ahi8OgOASGEtNLGjRuxYMEC9a95PB6H0xCiGRQICCGklXg8Hu0GIe0OPTIghJBWsLe3R1VVFWpra2Fra4t3330Xy5YtQ+fO9PMVMWy07ZAQ0qz169fDyMio0T+DBw/meizOffjhh/j5558RGxuLRYsWYfPmzVixYgXXYxHSZhRpCSFP5OjoiJiYGPWv2+tPwcHBwdi6dWuLr0lNTcXgwYMRGBiovjZ8+HCYmJhg0aJFCAkJoTIvYtDa599uQohGdO7cuUM8Kw8KCsLs2bNbfI2Dg0Oz193c3FBXV4fMzEwIBAItTEeIblAgIIQ80Z9//gkrKyuYmpri9ddfR0hICGxtbbkeS+P4fD74fP5z/bdJSUkwNjam3g5i8GhRISGkWadOnUJ5eTkEAgHy8vKwYcMG5OTkQCaTddhtdgkJCfjjjz/g4eEBHo+HhIQELFu2DN7e3jh8+DDX4xHSJhQICCHPpKSkBHZ2dtixYwfmzZvH9TickEqlWLJkCdLS0lBdXY0BAwZg5syZCAwMpPUDxODRIwNCyDMxNzfHoEGDkJ6ezvUonBEKhbh8+TLXYxCiFbTtkBDyTMrLy5GRkYEXX3yR61EIIVpAgYAQ0qzly5fj/PnzyMzMRHx8PPz8/NCpUydMnz6d69EIIVpAjwwIIc168OABpk+fjqKiIvD5fLz55pu4fPnyc6/GJ4ToN1pUSAghhBB6ZEAIIYQQCgSEEEIIAQUCQgghhIACASGEEEJAgYAQQgghoEBACCGEEFAgIIQQQggoEBBCCCEEFAgIIYQQAgoEhBBCCAEFAkIIIYSAAgEhhBBCQIGAEEIIIQD+DzgAK7vE4mVeAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the initial configuration of the polymer\n", "x = poly.r[:, 0]\n", "y = poly.r[:, 1]\n", "z = poly.r[:, 2]\n", "\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(projection='3d')\n", "ax.plot3D(np.asarray(x), np.asarray(y), np.asarray(z))\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f53e76b8c4e4b97f", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Instantiate the Null Field\n", "\n", "We use the `NullField` class as a placeholder for the field containing the polymer since we do not have any interacting components." ] }, { "cell_type": "code", "execution_count": 5, "id": "62e67d2aa888a4f9", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:32.252034Z", "start_time": "2024-07-03T02:32:32.249982Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# The field contains the polymer\n", "field = NullField(polymers=[poly])" ] }, { "cell_type": "markdown", "id": "5923f6f235e688d2", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Specify the Simulation Parameters\n", "\n", "We start by specifying the move and selection amplitudes for the simulation. The move amplitude indicates how large of a transformation each MC move can propose. Specific details about what the move amplitude represents depend on the exact MC move involved. The selection amplitude indicates the maximum number of beads that can be affected by an MC move. How the selection is made depends on the specific moves involved. We can automatically set appropriate amplitudes using the `get_amplitude_bounds` method of the `mc` module." ] }, { "cell_type": "code", "execution_count": 6, "id": "1b649b87a88725e0", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:32.979423Z", "start_time": "2024-07-03T02:32:32.977421Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "amp_bead_bounds, amp_move_bounds = mc.get_amplitude_bounds(\n", " polymers = [poly]\n", ")" ] }, { "cell_type": "markdown", "id": "237d01a56e7d9d03", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "Since we do not have any binders, we want to evaluate MC moves that only involve geometric transformations. We can do this with the `all_moves_except_binding_state` methods from the move controller modules. The move selection requires us to specify an output directory to which attempted moves can be logged. We will use the `get_unique_subfolder_name` function to help us create a new directory for the simulation results. The `SimpleController` class from the `mc_controller` module will manage the move and selection amplitudes so that we target 50% acceptance rates for all moves." ] }, { "cell_type": "code", "execution_count": 7, "id": "e78de040db914b5c", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:33.657756Z", "start_time": "2024-07-03T02:32:33.655048Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "out_dir = \"output_demo\"\n", "latest_sim = get_unique_subfolder_name(f\"{out_dir}/sim_\")\n", "moves_to_use = ctrl.all_moves_except_binding_state(\n", " log_dir=latest_sim,\n", " bead_amp_bounds=amp_bead_bounds.bounds,\n", " move_amp_bounds=amp_move_bounds.bounds,\n", " controller=ctrl.SimpleControl\n", ")" ] }, { "cell_type": "markdown", "id": "b12c6a06809b72de", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "To run a simulation, you must specify the number of snapshots and the number of MC steps to attempt per snapshot. The simulation will output the polymer's configuration at each snapshot." ] }, { "cell_type": "code", "execution_count": 8, "id": "87b72f8a4460c5ba", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:34.659933Z", "start_time": "2024-07-03T02:32:34.658230Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Specify the number of snapshots and the number of MC steps to attempt per snapshot\n", "num_snapshots = 200\n", "mc_steps_per_snapshot = 1000" ] }, { "cell_type": "markdown", "id": "8901b44f1658b304", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Run the Simulation\n", "\n", "Run the simulation by specifying the components of the simulation as well as the simulation parameters. The `polymer_in_field` method from the `mc` module will run the simulation. The cell below prints a notification at each save point (these updates have been cleared for this documentation)." ] }, { "cell_type": "code", "execution_count": null, "id": "4ec0b2210a94113", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:53.947754Z", "start_time": "2024-07-03T02:32:35.651180Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false }, "scrolled": true }, "outputs": [], "source": [ "polymers = mc.polymer_in_field(\n", " polymers = [poly],\n", " binders = binder_collection,\n", " field = field,\n", " num_save_mc = mc_steps_per_snapshot,\n", " num_saves = num_snapshots,\n", " bead_amp_bounds = amp_bead_bounds,\n", " move_amp_bounds = amp_move_bounds,\n", " output_dir = out_dir,\n", " mc_move_controllers = moves_to_use\n", ")" ] }, { "cell_type": "markdown", "id": "a7bb8d0f98aafe3f", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "|\n", "\n", "#### Analyze the Simulation\n", "\n", "Monte Carlo simulations require a few steps to equilibrate. We will ignore those steps of the MC simulation. Following equilibration, we will analyze the end-to-end distance of the polymer to verify the validity of the model." ] }, { "cell_type": "code", "execution_count": 10, "id": "6993dae72191642b", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:53.951744Z", "start_time": "2024-07-03T02:32:53.948737Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Load the simulation results\n", "sim_dir = latest_sim\n", "\n", "# Load and sort snapshots\n", "snapshots = os.listdir(sim_dir)\n", "snapshots = np.array(\n", " [snap for snap in snapshots if snap.startswith(\"poly\") and snap.endswith(\".csv\")]\n", ")\n", "snap_inds = np.array([int(snap.split(\"-\")[-1].split(\".\")[0]) for snap in snapshots])\n", "snapshots = snapshots[np.argsort(snap_inds)]\n", "snap_inds = np.sort(snap_inds)\n", "\n", "# Isolate equilibrated snapshots\n", "num_equilibration_steps = 180\n", "snapshots = snapshots[num_equilibration_steps:]" ] }, { "cell_type": "code", "execution_count": 11, "id": "12cc6a66b1a7e596", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:54.023059Z", "start_time": "2024-07-03T02:32:53.952563Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Specify the segment lengths for which to calculate the end-to-end distances\n", "bead_steps = np.arange(1, 100)\n", "kuhn_steps = bead_steps / (2 * lp)\n", "\n", "# Calculate the end-to-end distances for variable segment lengths along the polymer\n", "mean_r2 = []\n", "for i, snap in enumerate(snapshots):\n", " snap_path = os.path.join(sim_dir, snap)\n", " config = pd.read_csv(snap_path, sep=\",\", header=[0, 1], index_col=0)\n", " r = config[\"r\"].to_numpy()\n", " mean_r2_snap = []\n", " for step in bead_steps:\n", " r1 = r[:-step]\n", " r2 = r[step:]\n", " delta_r = r2 - r1\n", " mean_end_to_end = np.average(np.linalg.norm(delta_r, axis=1) ** 2)\n", " mean_r2_snap.append(mean_end_to_end)\n", " mean_r2_snap = np.array(mean_r2_snap)\n", " mean_r2.append(mean_r2_snap)\n", "mean_r2 = np.array(mean_r2)\n", "mean_r2 = np.average(mean_r2, axis=0)" ] }, { "cell_type": "code", "execution_count": 12, "id": "655b53cd1c7cb887", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:54.296814Z", "start_time": "2024-07-03T02:32:54.024505Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the non-dimensionalized mean-squared end-to-end distances\n", "plt.figure(figsize=(4, 3), dpi=300)\n", "plt.scatter(kuhn_steps, mean_r2/((2 * lp)**2), color=\"black\", s=5)\n", "plt.xlabel(r\"$L/(2l_p)$\")\n", "plt.ylabel(r\"$\\langle R^2 \\rangle / (2l_p)^2$\")\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "id": "2c4583c0653d27c3", "metadata": { "ExecuteTime": { "end_time": "2024-07-03T02:32:54.365742Z", "start_time": "2024-07-03T02:32:54.297841Z" }, "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the final configuration of the polymer\n", "x = polymers[0].r[:, 0]\n", "y = polymers[0].r[:, 1]\n", "z = polymers[0].r[:, 2]\n", "\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(projection='3d')\n", "ax.plot3D(np.asarray(x), np.asarray(y), np.asarray(z))\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_zlabel('z')\n", "plt.show()" ] } ], "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 5 }