{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Quantum PageRank\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "!pip install torch==2.6.0 torch-geometric==2.6.1 -q" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import torch\n", "from torch_geometric.data import Data\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem Definition\n", "**PageRank** is an algorithm used to rank nodes—such as web pages or individuals—in directed or undirected graphs based on their relative importance.\n", "\n", "Given a graph $ G = (V, E) $: \n", "- $ V $ is the set of nodes (e.g., web pages, individuals). \n", "- $ E $ is the set of edges (e.g., hyperlinks/connections between pages/individuals). \n", "\n", "The goal is to assign an importance score to each node based on the number and importance of incoming links.\n", "\n", "---\n", "\n", "PageRank has broad applications across various fields: ranking web pages in search engines, identifying influential individuals in social networks, recommending products in recommendation systems, and measuring the impact of research papers in scientific citation networks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we use the Karate Club graph as an example network to rank the importance of each member within the social structure:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load and visualize the Karate Club graph\n", "graph = nx.karate_club_graph()\n", "pos = nx.spring_layout(graph, seed=42)\n", "nx.draw(graph, pos, with_labels=True, node_size=500, node_color='#8C8C8C')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mathematical foundations of the PageRank algorithm include **Link matrix $\\mathbf{L}$** and **PageRank Matrix $\\mathbf{P}$**. Let’s explore their definitions and meanings:\n", "For **Social Network Analysis (SNA)**, the **Link matrix $\\mathbf{L}$** is used to represent how influence, information, or relationships flow between people (nodes). The entry $L_{ij}$ in row $i$, column $j$ of the matrix shows how much influence person $j$ gives to person $i$ with the following definition:\n", "$$\n", "L_{ij} = \n", "\\begin{cases}\n", "\\frac{1}{d_j^{\\text{out}}} & \\text{if there is a link from node } j \\text{ to node } i \\\\\n", "0 & \\text{otherwise}\n", "\\end{cases}\n", "$$\n", "\n", "The Normalization $\\frac{1}{d_j^{\\text{out}}}$ by the out-degree of node $j$ can be interpreted as the normalized distribution of influence across the network. That is to say, \n", "if person $j$ follows a few people, then their \"vote of importance\" is evenly split among those $m$ people. So, $L_{ij} = \\frac{1}{m}$ for each connection." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Number of nodes/members\n", "N = len(graph)\n", "\n", "# Initialize link matrix L\n", "L = np.zeros((N, N))\n", "\n", "# Fill L using out-degree normalization\n", "for j in graph.nodes(): # Column-wise\n", " neighbors = list(graph.neighbors(j))\n", " if neighbors: # Avoid division by zero\n", " for i in neighbors:\n", " L[i, j] = 1 / graph.degree[j] # Normalize by out-degree of node j" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To describe the dynamics of a random walker moving through the network, the **PageRank Matrix $\\mathbf{P}$** is introduced as below:\n", "$$ \n", "\\mathbf{P} = \\alpha \\mathbf{L} + (1 - \\alpha) \\frac{1}{N} \\mathbf{E} \n", "$$\n", "The matrix models the walker's behavior by capturing the probabilities of moving between nodes (with damping factor $\\alpha$), considering both the network's link structure (via link matrix $\\mathbf{L}$) and the possibility of random jumps through the teleportation matrix $\\mathbf{E}$, which ensures unbiased exploration of all nodes with a probability of $1/N$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Define parameters\n", "alpha = 0.85 # Damping factor\n", "E = np.ones((N, N)) / N # Random teleportation matrix\n", "\n", "# Build the PageRank Matrix P\n", "P = alpha * L + (1 - alpha) * E" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulating Quantum PageRank by CUDA-Q dynamics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of computing PageRank iteratively by [the power method](https://en.wikipedia.org/wiki/PageRank#Power_method), we aim to introduce a [quantum version of PageRank](https://www.nature.com/articles/srep00605) that solves the ranking problem by leveraging the principles of quantum mechanics, specifically [**Quantum Stochastic Walk (QSW)**](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.81.022323), which generalizes classical random walks by incorporating both **coherent quantum evolution** and **incoherent stochastic dynamics**, described by the **Lindblad master equation**: \n", "\n", "$\n", "\\frac{d\\rho}{dt} = -i(1-\\omega)[H, \\rho] + \\omega \\sum_{k>0} \\gamma_k \\left( L_k \\rho L_k^\\dagger - \\frac{1}{2} \\{L_k^\\dagger L_k, \\rho\\} \\right)\n", "$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Breakdown of Terms\n", "\n", "**Hamiltonian Evolution (coherent):**\n", "\n", "$ -i(1-\\omega)[H, \\rho] $\n", "\n", "- $H$ is the Hamiltonian, governing coherent unitary evolution.\n", "- The factor $1 - \\omega$ determines the extent of quantum behavior in the system.\n", "\n", "**Dissipative Evolution (incoherent):**\n", "\n", "$ \\omega \\sum_{k > 0} \\gamma_k \\left( L_k \\rho L_k^{\\dagger} - \\frac{1}{2} \\{ L_k^{\\dagger} L_k, \\rho\\} \\right) $\n", "\n", "- $\\gamma_k$ are rates associated with each dissipative process.\n", "- $L_k$ are Lindblad operators modeling incoherent jumps between states.\n", "- The term:\n", " $ L_k \\rho L_k^{\\dagger} - \\frac{1}{2} \\{ L_k^{\\dagger} L_k, \\rho\\} $\n", " ensures that the system remains a valid density matrix (preserving trace and positivity).\n", "\n", "**Parameter $\\omega$ controls the interpolation:**\n", "\n", "- $\\omega = 0$ → Pure Quantum Walk (QW), where only unitary evolution occurs.\n", "- $\\omega = 1$ → Pure Classical Random Walk (CRW), where only stochastic transitions occur.\n", "- $0 < \\omega < 1$ → Quantum Stochastic Walk (QSW), a hybrid of both.\n", "\n", "In brief, this framework naturally extends PageRank, where the dissipators $L_k$ encode stochastic teleportation, similar to the random jumps in classical PageRank. The **Quantum PageRank (QPR)** model based on quantum spatial walks can reveal hidden structures for some networks, enhance ranking sensitivity, and achieve comparable or faster convergence compared to its classical counterpart." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given the time-dependent nature of quantum stochastic walks, CUDA-Q Dynamic leverages GPU acceleration and provides a suite of APIs for efficiently solving time-evolved states. Let's get started:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import cudaq\n", "from cudaq import operators, Schedule\n", "\n", "# Construct the Hamiltonian based on the adjacency matrix of the social network\n", "H = np.array(nx.to_numpy_array(graph), dtype=np.complex128)\n", "\n", "# Defines an elementary operator named \"hamiltonian\", allowing creation with the name and its degrees of freedom.\n", "operators.define(\"hamiltonian\",\n", " expected_dimensions=[N],\n", " create=lambda: H)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The **Lindblad operators** can be defined for a quantum system represented by a density matrix $\\rho$. They facilitate the incorporation of both quantum coherence and incoherent processes into the dynamics.\n", "\n", "For Quantum PageRank, the Lindblad operators shown below have been demonstrated to converge to a stationary solution:\n", "\n", "$$\n", "L(i,j) = |i\\rangle \\langle j| \\quad\n", "$$\n", "\n", "where the indices $ i $ and $ j $ label the nodes in the network as well as the Lindblad operators. This notation indicates that the operator $ L(i,j) $ describes a **transition** from state $|j\\rangle$ to state $|i\\rangle$.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def lindblad_op(i, j):\n", " L = np.zeros_like(P, dtype=np.complex128)\n", " L[i, j] = 1\n", " return L\n", "\n", "\n", "# exec hack for https://github.com/NVIDIA/cuda-quantum/issues/2426.\n", "for i in range(N):\n", " for j in range(N):\n", " exec(f\"\"\"\n", "operators.define(\n", " f\"lindblad_{i,j}\",\n", " expected_dimensions=[N],\n", " create=lambda: lindblad_op({i}, {j}),\n", ")\n", " \"\"\")\n", "\n", "lindblad_ops = [\n", " np.sqrt(P[i, j]) * operators.instantiate(f\"lindblad_{i,j}\", [0])\n", " for i in range(N)\n", " for j in range(N)\n", "]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simply simulate the dynamic system via the `evolve` API with `\"dynamics\"` backend of CUDA-Q:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "cudaq.set_target(\"dynamics\")\n", "\n", "start = 0\n", "stop = 1\n", "\n", "\n", "def quantum_pagerank(N, start, stop, lindblad_ops, omega):\n", "\n", " # Define the page labels\n", " page_labels = list(range(N))\n", "\n", " # Initialize the state\n", " rho = np.identity(N, dtype=np.complex128) / N\n", "\n", " # Define the Hamiltonian and collapse operators based on the value of omega\n", " hamiltonian = (1 - omega) * operators.instantiate(\"hamiltonian\", [0])\n", " collapse_operators = [np.sqrt(omega) * op for op in lindblad_ops]\n", "\n", " result = cudaq.evolve(\n", " hamiltonian=hamiltonian,\n", " dimensions={0: N},\n", " schedule=Schedule(np.linspace(start, stop, 2), [\"time\"]),\n", " initial_state=cudaq.State.from_data(rho),\n", " collapse_operators=lindblad_ops,\n", " )\n", "\n", " final_state = np.array(result.final_state())\n", "\n", " return dict(zip(page_labels, np.real(np.diag(final_state))))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# For cases where 0 < ω < 1 (e.g., ω = 0.6), the dynamics follow a quantum Stochastic Walk with both coherent and incoherent (dissipative) evolution\n", "pagerank_qsw = quantum_pagerank(N, start, stop, lindblad_ops, omega=0.6)\n", "\n", "# For the extreme case ω = 0 reduces the Quantum Stochastic Walk to a purely classical random walk\n", "pagerank_cw = quantum_pagerank(N, start, stop, lindblad_ops, omega=1.0)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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4+ODkyZNYtWqV1r41a9ZU6F4HDx6MyZMnIzc3F926dcOOHTt0xuTn5+PLL79Ey5YtkZSUBEDdh27QoEEoKCjAs88+i9zcXHl8bGws3njjDQDAyy+/bHBMFXXixAksX75ca9vmzZuxe/duODo6YvLkyfJ2zYIQX3zxBVQqlbz92rVrmD59utFj+/TTT0tcfCIyMhKAdr/DqVOnwsnJCZGRkToJvXXr1uGXX36Bs7Mzpk6davQ4iYiIqGoxmUdEREQPtQ4dOiAiIgKFhYX46KOPAAA+Pj6YPn06MjMz8dhjjyEiIgKjRo1CvXr18O6772L27Nkmj+uNN97Axx9/jNu3b6NLly5lLsRRGS4uLvj6669hbW2NZ599Fi1btsSYMWPQpk0bPP3003j++ecBALa2tgad96uvvsJLL72Ee/fuYejQoahZsyYGDRqEsWPHomfPnvDy8sKMGTNgY2MDT09P+bhVq1YhLCwMu3fvRp06dTBy5EgMGDAAjRo1QmxsLIYPH47nnnvOqK9BWZ5//nm89NJLeOyxxzBmzBi0a9dOXvn3yy+/1Joh+OKLL8LV1RWrV69GgwYNMGrUKPTu3RuNGjVCYGAg2rdvb9TY3n33XQQGBqJZs2YYPnw4Ro0ahZYtW2Ly5MmwtrbGhx9+KI+tWbMm1q1bBxsbG4wfPx5t2rTBmDFj0Lp1a0yePBk2NjbYsGED/P39jRojERERVT0m84iIiOiht3DhQgDqGUqa8s7ly5fjiy++QIMGDXD06FH8+uuvaNiwIY4ePYr+/ftXSVxz5szBkiVLEB8fj65du+Ly5csmuc6AAQNw5MgR9OrVC1euXMGePXvg4OCAffv2ITw8HAC0VkbVh5WVFZYuXYrz589jxowZcHd3x5EjR7BlyxZcuHABHTp0wBdffIGYmBitGWR+fn44efIk3nrrLbi7u2Pnzp04cuQImjdvjtWrV2PTpk1VuiDDE088gX379sHNzQ179uzBP//8gy5duuCXX37BhAkTtMaGhobizJkzePLJJ5GdnY2dO3ciLi4Ob7zxBvbv3w8bGxujxrZixQqMGzcORUVFOHDgAHbt2oXMzExMmDABZ86cwZAhQ7TGDx8+HCdOnMDw4cMRFxeHLVu24NatWxgxYgROnjyJYcOGGTU+IiIiMg9JlLbcFhERERE99J5++mmsXr0aP/74I0aMGGHucKrMxIkTsWHDBhw6dAhdu3Y1dzhEREREeuPMPCIiIqKHXEJCQom9177//nusXbsWHh4eVTYbkYiIiIgqx9rcARARERGRaZ08eRJPPPEEmjdvjuDgYKhUKly6dAlXrlyBtbU1Vq9eDScnJ3OHSURERER64Mw8IiIioodc8+bNMXnyZGRnZ+PgwYOIjIxEZmYmhg8fjmPHjuGJJ54wd4hEREREpCf2zCMiIiIiIiIiIqomODOPiIiIiIiIiIiommAyj4iIiIiIiIiIqJpgMo+IiIiIiIiIiKiaYDKPiIiIiIiIiIiomrA2dwCPgsTERPz8888ICQmBo6OjucMhIiIiIiIiIiIzy8nJwY0bN9C3b1/4+fnpf6CwcEqlUnz66aciLCxM2NraisDAQDF79myRnZ1d7rGZmZli/vz5YsCAAcLf318AEIMHDy7zmMjISNG2bVvh6OgoPD09xYgRI0RsbGyl7uHrr78WAPjFL37xi1/84he/+MUvfvGLX/ziF7/4xS+tr6+//tqgPJPFz8x7+eWXsWzZMgwdOhSzZs3CpUuXsHTpUpw7dw779++HJEmlHnvv3j3Mnz8f/v7+aNWqFXbv3l3mtbZv344nn3wSzZs3x6JFi5Ceno6lS5eiQ4cOOH36tGFZ0mJCQkIAAF9//TUaN25coXMQEREREREREdHDIyoqCpMnT5bzRvqy6GReVFQUli9fjmHDhmHbtm3y9pCQELz44ovYsmULRowYUerx/v7+uH37NmrWrAkAZSb+CgsL8cILL6BWrVo4evQonJ2dAQB9+/ZFy5Yt8e677+LLL7+s0H1oSmsbN26MNm3aVOgcRERERERERET08DG0JZtFL4Dxww8/QAiBmTNnam2fNm0aHB0dsXHjxjKPt7OzkxN55Tly5Aji4+MxdepUOZEHAC1atEDXrl2xadMmKJVKg++BiIiIiIiIiIjIWCw6mffnn39CoVDozGazt7dHixYt8Oeffxr1WgDQrl07nX1t27ZFWloaYmJijHY9IiIiIiIiIiIiQ1l0mW18fDy8vb1hZ2ens69mzZo4duwYlEolrKysjHItzXlLuhYA3LlzB2FhYWWe586dO7hz547WtqioqErHR0REREREREREZNHJvJycnBITeYB6dh4A5ObmapXFVuZaAEq8nuZamjFlWb16NRYsWFDpeIiIiIiIiIiIiB5k0ck8R0dH3L17t8R9eXl5AAAHBwejXQsA8vPzS72WPg0Jp02bhn79+mlt06xOQkREREREREREVBkWncwLCAjAxYsXkZ+frzNj7s6dO/Dz8zNKia3mWprzNmzYUOdaQMkluA+qWbOm3otuEBGR/goLC5GamoqsrCyoVCpzh0NERPTIUigUcHZ2hqenJ2xsbMwdDhHRI8eiF8Bo3bo1VCoVTp06pbU9Ly8P586dQ6tWrYx6LQA4fvy4zr4TJ07A3d0doaGhRrseERHpTwiBW7duITU1FYWFheYOh4iI6JGm+QPbrVu3IIQwdzhERI8ci56ZN3LkSHzwwQdYunQpOnXqJG9fvXo1cnJyMHbsWHnbtWvXUFhYiAYNGlToWl26dIG/vz/WrFmDl19+We7Dd/78eRw+fBjTpk0z2ixAIiIyzP3795Gfnw8XFxcEBARAobDov0URERE91FQqFeLj45GZmYn79+/Dw8PD3CERET1SLDqZ17RpU8yYMQMrVqzAsGHD0K9fP1y6dAnLli1D9+7dMXLkSHlsjx49cPPmTZ2/DK1YsQL379+Xn1+5cgULFy4EADRv3hwDBw4EANjY2ODzzz/HyJEj0alTJ0ybNg0ZGRn47LPPUKNGDcybN8/0N0xERCXKzMwEAPj6+jKRR0REZGYKhQK+vr7IzMxEZmYmk3lERFXMopN5ALB06VIEBwfjq6++QmRkJHx8fPDSSy9hwYIFkCSp3OMXL16Mmzdvys8vXbqEt99+GwAwYcIEOZkHAMOHD4eDgwMWLlyI2bNnw87ODr169cLHH38Mf39/498cERHppbCwEAqFAra2tuYOhYiIiKCeDKFQKNj+gohMTqlUIiYmBjExMfKaCqGhoQgNDX1kKygtPplnZWWFWbNmYdasWWWOi42NNWh7aQYMGIABAwYYdAwREZmWSqXijDwiIiILIkkSFAoFF6UiIpOKjY3Fvn37kJ2drbU9OjoaTk5OiIiIQHBwsHmCMyP+ZkRERERERERERBYlNjYW27dv10nkaWRnZ2P79u0GT+J6GDCZR0REREREREREFkOpVGLfvn3lrpgthMC+ffugVCqrKDLLwGQeERERVXtdu3Z9JEssiIiIiB5GMTExpc7Ie1B2djZiYmJMHJFlYTKPiIjIwhw+fBiSJGl9ubq6ol27dvj666/NHZ6W4OBgrTjt7OxQt25dvPDCC7h37565wyMiIiKiasjQ5Nyjlsyz+AUwiIiITMmSV8caN24c+vTpA5VKhbi4OKxevRpTpkzBnTt35JXZLUFQUBDef/99AEB6ejr279+PFStW4ODBgzh79izs7OzMHCERERERVSf5+fkmHV/dMZlHRESPLEtfHatly5YYN26c/HzSpEmoX78+Fi1ahDfeeAPW1pbxv3EPDw+tOGfMmIEnnngC27dvx+7du/Hkk0+aMToiIiIiqm4M/WPwo/bHY5bZEhHRI6k6ro5Vs2ZNNGzYEJmZmbhz5w7mzp2LNm3awMvLC/b29mjQoAHef/99FBUV6RwbGxuLJ554Aq6urnB1dcXgwYNx48YNBAcHo2vXrjrj9+3bhx49esDV1RUODg5o1aoVfvjhB71j7d69OwDdkodNmzZh4MCBqFWrFuzs7FCjRg2MHj0a169f1zmHJEmYOHEi/u///g8dO3aEo6MjatSogZdffhmFhYXlxpCYmIgWLVrA19cXp0+f1jt2IiIiIjKv0NBQk46v7pjMIyKiR051XR2roKAAt27dgrW1NbKzs7F27VqEh4djwYIF+OSTT1C3bl3MnTsX06dP1zouJSUFnTp1wu7duzFp0iR8/PHHcHR0RLdu3UpMZq5cuRJ9+/ZFUVER5s2bh0WLFsHd3R1jxozBsmXL9Ir12rVrAABPT0+t7V9++SVsbGzw7LPPYsWKFRgzZgz27NmD9u3bl9hj79y5cxgyZAg6duyITz/9FK1atcLSpUvx0UcflXn9q1evon379sjIyMD//d//oVWrVnrFTURERETmFxoaCicnJ73GOjk5PXLJPMuozyEiIqpCFVkdKywszMRRlXzte/fuQQiBuLg4vP/++7h79y6GDx+O0NBQObGn8eKLL2LChAlYt24d3n33XQQEBAAAPv74Y9y+fRubNm3CyJEjAQDPPvss5syZg0WLFmldMz4+HjNnzsTEiROxbt06efvzzz+PYcOG4a233sLEiRPh6uoq71MqlXIiTtMz78svv4SzszOGDBmidf6ff/5Z5wezQYMGoXv37lizZg1ef/11rX3//PMPTpw4gdatWwMAnnnmGTRv3hxffPFFqX0DT58+jX79+iEgIAD79u2Dn59fua81EREREVkOKysrREREYPv27WX+AV6SJERERJi913VVYzKPiIiqtZ9++gnp6ekGHZOZmWnQ+P379+P48eMGHePm5oahQ4cadMyD5s6di7lz58rPra2tMWbMGKxcuRK2trby9sLCQmRmZkKlUqFXr1745ptvcPr0aQwaNAgAsHv3bgQGBmLEiBFa5589e7ZOMm/btm0oKCjAxIkTdWbKDRw4ED/99BNOnDiB3r17y9svXLgAHx8frbHNmzfHypUr4evrq7Vdk8gTQiAzMxMFBQVo2rQp3NzccOrUKZ3XoF27dnIiD1D/wNa1a1csX74cWVlZcHZ21hq/f/9+PPHEE2jVqhV27NgBNzc3nXMSERERkeULDg5GREQEfv755xL3W0KPa3NhMo+IiKq19PR0pKSkmPQaBQUFJr9GSZ599lkMGzYMkiTB2dkZDRs21JoRt3z5cqxatQrR0dFQqVRax96/f19+fOPGDbRv3x6SJGmN8fX1hbu7u9a2S5cuAUCJffQ0kpKStJ7XrVsXq1atghACd+7cweeff47bt29rJRw1Tp8+jbfffhu///47cnJySo1ZIyQkRGebpnQ3JSVFK5mXlJSEAQMG4LHHHsO+ffseuUbIRERERA+b4n+09/f3h729Pezs7BAaGorQ0NBHbkaeBpN5RERUrVVk5pVmRpi+bG1t4eLiYtA1jDEjrH79+ujZs2eJ+5YsWYLZs2ejb9++mDVrFvz8/GBra4u//voLr732mk5yT1+a47777judWXUajRs31nru7OysFefQoUPRvHlzPPnkk7h48SIcHBwAADdv3kTXrl3h6emJBQsWoF69enB0dIQkSRg1alSJMZf1A9qDJReenp5yIm/r1q0YO3asfjdNRERERBZHCIGoqCgA6p/Hhw8fDhsbGzNHZRmYzCMiomqtIqWsly9fxp49e/Qe37t3b7P0zCvLxo0bERISgj179kCh+G89K83CE8UFBwfj6tWrEEJozc67e/euzmy4evXqAVDP2istkVgeNzc3fPjhhxgzZgw+++wzvPnmmwCAHTt2IDs7G3v27NGa+Zebm4u0tLQKXas4GxsbbN++HU8++SSeeuopKJVKPPXUU5U+LxERERFVvdu3b8sz8+rXr89EXjFczZaIiB45D8PqWJoZa8Vnp+Xm5pa42uzAgQNx+/ZtbN68WWv74sWLdcaOGDECtra2mD9/PvLz83X23717V6/4Ro4cifr162PJkiVyj0JNzA/OwPvkk08qPJPwQba2tti6dSsGDhyISZMmYf369UY5LxERERFVrQsXLsiPmzRpYsZILA9n5hER0SPnYVgdS7OybL9+/TBs2DCkpqZi/fr1JZYDv/baa/j+++8xfvx4HD9+HGFhYTh69CiOHTsGb29vrdl6tWrVwooVKzB9+nQ0btwY48aNQ2BgIJKSkvDXX39h9+7depUoKxQKvPHGG5g0aRJWrFiBN954A3379oWDgwPGjx+PF154Aa6urvjtt99w+vRpeHl5Ge21sbW1xZYtWzBy5EhMmTIFQghMmjTJaOcnIiIiItMqKCjAlStXAAAeHh4ICAgwc0SWhTPziIjokRQcHIxhw4aVOkPPyckJw4YNs9jVsV577TW8++67uHr1Kl588UWsXbsWTz31FD766COdsd7e3vjjjz8wYMAArF27Fq+99hqys7Nx6NAhCCHknnYa06ZNw6FDh9CwYUOsWLECzz33HFauXImsrCx8/vnnesc4btw41K5dG0uWLEFWVhbq1q2LyMhI1K5dGwsXLsTbb78NhUKBI0eO6KxKW1k2Njb48ccfMXToUEyZMgVr1qwx6vmJiIiIyHQuX76MoqIiAOp+zQ8u5Paok0RZUxLIKE6dOoXw8HCcPHkSbdq0MXc4RETVztWrVwH818/NmJRKJWJiYhATE4P8/PxHanWslJQUeHt745lnnsGqVavMHQ4REVUzpvz/MxE92n744QfEx8dDkiQ8/fTTRv/Dr6WoaL6IZbZERPRIs7KyQlhYmMUtcGFsubm5OjPwNLP4evXqZY6QiIiIiIh0pKamIj4+HoC6muZhTeRVBpN5REREj4DevXujbt26aNmyJZRKJX799VdERkaiQ4cOGDJkiLnDIyIiIiICAERFRcmPGzdubMZILBeTeURERI+AgQMHYuPGjfjpp5+Qm5uLWrVqYfbs2Zg3b95DX05MRERERNWDSqXCxYsXAQD29vaoW7eumSOyTEzmERERPQLmzJmDOXPmmDsMIiIiIqJS3bx5E1lZWQCABg0awNqaaauScDVbIiIiIiIiIiIyuwsXLsiPmzRpYsZILBuTeUREREREREREZFa5ubm4du0aAMDHxwc1atQwc0SWi8k8IiIiIiIiIiIyq0uXLkGpVALgrLzyMJlHRERERERERERmpVnFVqFQoEGDBmaOxrIxmUdERERERERERGZz9+5d3L17FwBQt25dODo6mjkiy8ZkHhERERERERERmY1mVh4ANG7c2IyRVA9M5hERERERERERkVkolUpcunQJAODk5ISQkBAzR2T5mMwjIiIiIiIiIiKzuH79OnJzcwEADRs2hELBVFV5+AoRERFVc5IkYeLEieYOAxMnToQkSSa/jqXcb3GxsbGQJAnz58+Xtx0+fBiSJGH9+vVmi4uIiIjI0l24cEF+zFVs9cNkHhERkQXKysrCokWL0L59e3h4eMDW1hYBAQEYOnQotm/fDiGEuUO0aKtWrYIkSfjuu+909i1evBiSJKFTp046+9LS0mBlZYWIiIiqCJOIiIjokZaVlYUbN24AAPz9/eHl5WXmiKoHJvOIiOiRJlQFUCVvRlH0WBRd6I+i6LFQJW+GUBWYLaYrV66gRYsWmDNnDtzc3DB37lysWrUKM2bMQHJyMp544gmsXLnSbPGVZvXq1XKJhLl16dIFAHDkyBGdfUeOHIG1tTVOnTqlE+/Ro0ehUqnQtWvXqgiTiIiI6JF28eJF+Y/UnJWnP2tzB0DVi1KpRExMDGJiYpCfnw87OzuEhoYiNDQUVlZW5g6PiMggqrT9UF6eABQmam1XJn8P2PjBKmwDFB69qzSmnJwcDBw4EHFxcdi1axcGDhyotf+tt97CgQMHkJKSUqVx6cPGxgY2NjbmDgOAut9KjRo1cPjwYa3tKpUKR48exfjx47Fu3TocP34c3bt3l/drkn9M5hERERGZlhBCXsXW2toaYWFhZo6o+uDMPNJbbGwsVq9ejT179iA6Oho3btxAdHQ09uzZg9WrVyM2NtbcIRIR6U2Vth/KqP46iTxZYSKUUf2hSttfpXGtXr0aV65cwauvvqqTyNPo1asXRo0aVeZ5vvzyS/Tq1QsBAQGwtbVFYGAgpk2bhuTkZJ2x69atQ6tWreDm5gZnZ2eEhoZiwoQJyM7Olsf88ccf6NOnD3x9fWFvb4/AwEAMGjQI//zzjzymtJ550dHRGDduHAICAmBnZ4fAwECMHDkS165dk8ds2rQJAwcORK1atWBnZ4caNWpg9OjRuH79ermvWWm6dOmCq1evIiEhQd527tw5pKenY8qUKfD399eZuXfkyBE4OzujVatWBr+O+vriiy9gZWWFadOmQalUVvg8RERERNVZQkICUlNTAQD16tWDnZ2dmSOqPjgzj/QSGxtbZo+m7OxsbN++HcOGDUNwcHDVBkdEZCChKlDPyBNF5QwsgvLyBEht4iApqmbG2fbt2wEAU6dOrdR5Fi9ejPbt26NXr15wc3PDmTNnsH79ehw7dgx//fWX/MPSN998g8mTJ2PAgAGYPHkyrK2tERsbi927dyMzMxNOTk6Ijo5G7969Ua9ePcyZMwceHh5ISEjAoUOHEB0djaZNm5Yax/Hjx9G7d28IITBt2jQ0bNgQd+/exS+//IILFy6gbt26ANRJM29vbzz77LPw8fHBxYsXsWbNGhw6dAgXLlyAt7e3wa9Bly5dsHnzZhw5ckROfh45cgQODg5o3bo1OnXqpJXMy8jIwLlz59CzZ09YW1sb9Drq6+2338bChQsxd+5cvPfeewbfExEREdHDQjMrDwAaN25sxkiqHybzqFxKpRL79u0rt9m6EAL79u3DtGnTWHJLRBZNpOwofUbegwoTIVJ2QPIZbtKYNC5cuAA3NzeEhIRU6jz//PMPnJyctLa1a9cOkydPxk8//SQnt3bs2IGGDRti9+7dWmM/+OAD+fH+/fuRm5uLAwcOwNfXV94+d+7cMmMQQmDy5MlQKpX466+/0KBBA61jVSqV/Pznn3/WiXfQoEHo3r071qxZg9dff13PO/+PplT28OHD8v0ePnwYbdu2ha2tLTp37oxZs2YhLy8P9vb2+OOPP6BUKrVKbPV9HcujVCoxffp0fP3111ixYgVmzJhh8P0QERERPSwKCwsRHR0NAHB1dUVQUFCpY4WqACJlB1QpO4Gi+4C1OxRegyF5DYGksK2iiC0Lk3lUrpiYGK1Sq7JkZ2cjJiaGte5EVGWKogZB5F0rf2Bx+bcNGq68OhXKuPkGHSPZ14V1410GHQOoZ4f5+fkZfNyDNAkolUqFjIwMFBUVyUmqU6dOyUkoNzc33LlzB3/88Qc6duxY4rnc3NwAANu2bcO0adPkWWvlOXv2LKKjo/HCCy9oJfI0FIr/un1o4hVCIDMzEwUFBWjatCnc3Nxw6tQp/W76AY0aNYKvr688+07TL++ll14CAHTu3Bn5+fk4efIkunTpUmK/PH1fx7Lk5uZi2LBh2LdvHzZt2oThw6smMUxERERkqWJiYlBQoF5wrnHjxiW2agEss8e1JWDPPCpXTEyMSccTEVWGyLsG5Fw07EuZYdhFlBkGX8PgBOO/XF1dkZmZWaFjiztw4AA6deoER0dHeHh4wMfHB3Xq1AEA3L9/Xx735ptvwsvLC506dUJAQADGjBmDjRs3Ij8/Xx4zatQo9OzZE8899xw8PT3Rt29ffP7550hKSiozhqtXrwIAWrRoUW68p0+fRt++feHs7Aw3Nzf4+PjAx8cH6enpWvEaqnPnzoiOjkZSUhL++ecfpKWlySvdNmnSBB4eHnIS78F+eYD+r2NZXnvtNezatYuJPCIiIqJ/XbhwQX5cWomtpfa4tgRM5lG5iv9CZ4rxRESVIdnXBRwbGfZl5WrYRaxcDb6GZF+3QvfTuHFjpKen48aNGxU6HgBOnjyJvn37IjU1FYsWLcKuXbtw4MAB7Nu3DwC0ylvr1auHS5cuYc+ePRg1ahQuXbqE8ePHo2nTprh79y4AwM7ODgcOHMCJEycwa9YsFBQUYPbs2ahfv77OarElKe0vrRo3b95E165dERUVhQULFmDHjh3Yv38/Dhw4AC8vL614DaWZRXfkyBEcPnwYtra2aNu2rRxXx44dcfjwYWRlZeHMmTPo0KGDPPPQkNexLIMHD4aDgwM++ugjpKenV/heiIiIiB4G6enpiIuLAwDUqlVLrgIpztAe10JVaIpQLRbLbKlchjb35go0RFSVKlLKqkreDGX0SL3HW9VbA0UV9cx74okncPToUaxduxYLFy6s0Dk2bdoEpVKJyMhIrUWJLl++XOJ4Ozs79O/fH/379wcA/PDDDxgzZgy+/PJLzJ8/Xx4XHh6O8PBwAOpZd4899hjmz59fakKvfv36ANQryJZlx44dyM7Oxp49e7RKXHNzc5GWllb2zZajeDIvISEBbdq0gb29vby/c+fOeOedd3Do0CGtElrA8NexND169MDEiRMxcOBA9OrVC/v374e7u3sl7oqIiIio+iq+8EWTJk1KHGPJPa4tAWfmUblCQ0NNOp6IqKpJXkMAGz370tn4qcdXkWnTpqFevXpYtGgR9u7dW+KYgwcP4scffyz1HJpFiB6cOfbRRx/pjL13757OtsceewwAkJKSUuqYOnXqwM3NTR5TkhYtWqBhw4ZYs2YNrly5orNfs7BSafF+8sknlZqVB6j75vn4+ODQoUP4/fff5RJbjU6dOiE3NxeLFi0CoN0vz5DXsTw9evRAZGQkoqKi0LNnz0onKYmIiIiqIyGEnMyztbVFvXr1ShynStlp0HlVKTsqG1q1wpl5VK7Q0FA4OTnptQiGk5MTk3lEZPEkhS2swjaoe3CUNXVfsoZV2AZICpsqi83R0RF79uxB3759MWDAAPTt2xc9evSAh4cHEhMTsW/fPvz+++9YuXJlqecYMmQIPvvsM/Tr1w/PPPMMrKyssHv37hITSL1794aHhwc6deqEWrVq4d69e1izZg2sra0xevRoAMDChQuxf/9+DBw4ECEhISgqKsL27dsRHx8vLyZREkmS8PXXX6Nnz55o2bIlpk2bhoYNG+LevXvYv38/Zs6cicGDB6Nv375wcHDA+PHj8cILL8DV1RW//fYbTp8+DS8vr0q9npIkoXPnzti2bRsA6CTzWrZsCScnJxw9elSnX54hr6M+unXrhr1796J///7o2bMnDhw4AE9Pz4rfHBEREVE1c+vWLWRkqPtXh4WFwcamlJ+zi+4bdmJDx1dznJlH5bKyskJERES5PY8kSUJERIQ8k4GIyJIpPHrDqnFk6TP0bPxg1TjSLKtj1a9fH+fPn8fHH3+M1NRUvPvuu3j66aexfPlyeHl5YceOHZg+fXqpx3fs2BE//vgj7O3t8dZbb+H9999H7dq18csvv+iMffbZZ6FQKLBq1So899xz+Pzzz9GwYUMcOXIE7du3B6Du+dakSRNs2rQJL7/8MubNm4e8vDx8++23mDNnTpn30rZtW5w6dQr9+/fHxo0b8fzzz+PLL7+Ev78/mjZtCgCoW7cuIiMjUbt2bSxcuBBvv/02FAqFvCBFZWlm21lbW8v3pGFtbY127doBgFa/PMCw11FfXbp0wc8//4wrV66gZ8+eZc5sJCIiInrYFC+xLW3hCwCAtbthJzZ0fDUnCU2NC5nMqVOnEB4ejpMnT6JNmzbmDqfCYmNjsW/fvhJn6Dk5OSEiIkKrpxARkbFoVkUtbRp+ZQhVIUTKDvXU/KL7gLU7FF5DIHkNqdIZeURERNWNKf//TEQPn/z8fKxatQpFRUXw8PDApEmTSp00ZHCP6wabq6zHtTFVNF/EMlvSW3BwMKZNm4aYmBjExMTg6tWrUCqVcHBwwLRp0zgjj4iqJUlhA8lneLX8nz8RERERUXVx+fJlFBWpW9w0adKkzOo/uce1PotgVHGPa0vAMlsyiJWVFcLCwtC/f380aNAAgHq1waysLDNHRkRERERERESWSlNiK0kSGjVqVOZYTY9rSOXMQTNDj2tLwGQeVVitWrXkx3FxcWaMhIiIiIiIiIgsVUpKCuLj4wGoq/706Yss97gurajUjD2uzY1ltlRhxZN5t27dkhuZExERERERERFpFF/4okmTJnofJ9kFA1CX5sIuCJJjE/a4BpN5VAmurq5wd3fH/fv3ERcXByFEuSveEhEREREREdGjQ6VS4eLFiwAAe3t71KlTR/9jU7bJj61CFrPP9b9YZkuVEhQUBADIzs5GWlqamaMhIiIiIiIiIksSGxuL7OxsAEDDhg1hba3/vDLVva3qBwp7SJ59TRFetcRkHlUK++YRERERERERUWmKl9g2btxY7+NE3g0g6y8AgOQRAcmq/D57jwom86hSHuybR0REREREREQEALm5ubh27RoAwMfHBzVq1ND7WNW97fJjhfcTRo+tOmMyjyrFyckJXl5eACD3zSMiIiIiIiIiunTpEpRKJQDDFr4AAHHv3355kg0kzwHGDq1a4wIYZBChKoBI2QFVyk6g6D5g7Y7Ha9fFwVQn5OXlITk5Gb6+vuYOk4iIiIiIiIjMTFNiq1Ao0KBBA72PE/l3IDKPAwAk956QrN1NEV61xWQe6U2Vth/KyxOAwkSt7Q2tgaDmLjhwfRRu3brFZB4RERERERHRI+7u3bu4e/cuAKBu3bpwdHTU+1hVyk/yY5bY6mKZLelFlbYfyqj+Ook8DUebTAwKW4uchF1VHBkRERERERERWZoLFy7IjytcYgsrSF6DjRjVw4HJPCqXUBWoZ+SJolLHSBIgQYWmjkuhLMqvwuiIiIgeDrGxsZAkCfPnzzd3KDq6du2K4OBgc4dRISW9rocPH4YkSVi/fn2lzn379m04Ojrixx9/rFyQRCZmyHu+bdu2mDx5sumDIqKHmlKpxKVLlwCoe+0b8nOEKEiGSP8dACC5dYFk422KEKs1JvOoXCJlR6kz8oqTJMDJJgP3b2wwfVBERA+59PR0zJ8/H82bN4ezszOcnZ3RvHlzzJs3D+np6eYOr1RLly6tdILE1IqKirB+/Xq0b98evr6+sLe3R61atdCnTx98/PHHWmN37Nhhkck1U6iqe121ahUkScJ3332ns2/x4sWQJAmdOnXS2ZeWlgYrKytERESYPEZ9vfXWW6hTpw6GDx+us4+fYdPp2rUrJEmSv2xsbBAUFIRJkybh5s2b5g5Py/r167ViVSgUcHd3R7du3fDTTz+VfwIzmDdvHjZs2IC///7b3KEQUTV27do15OXlAQAaNWoEhUL/9JNI2QFABQCQWGJbIibzqFyqlJ0GjS+6u738QUREFqJIVYDziZvxw99jse6v/vjh77E4n7gZRaoCs8V06dIlNGvWDO+99x4aNmyIRYsWYfHixWjUqBEWLlyI5s2b4/Lly2aLryzVIREwevRoTJo0CTY2NpgzZw6WL1+OCRMmQAiBjz76SGvsjh07sGDBAjNFWrXKutf9+/cb7T3XpUsXAMCRI0d09h05cgTW1tY4deoUcnNztfYdPXoUKpUKXbt2NUoclXXz5k1s3LgRzz//vM4vKPwMm56joyO+/fZbfPvtt1i+fDk6dOiADRs2oG3btkhOTjZ3eDpmzpyJb7/9FuvWrcOLL76IixcvYtiwYfj222/NHZqOvn37ok6dOvjggw/MHQoRVWOahS8AoHHjxgYdq0rRlNhKUHgPNWJUDw8ugEHlK7pv0PCC3LumiYOIyMiu3NuPzRcmILNAe/bxucTv4WLrhxFNNqC+d+8qjSknJweDBw9GYmIi9u7diz59+sj7pk+fjkmTJmHgwIEYPHgwzp49CwcHhyqNr7o7ffo0tm7dimHDhmHbtm06+xMTy5+J/iiytbU12rkaNmyIGjVq4PDhw1rbVSoVjh49ivHjx2PdunU4fvw4unfvLu/XJP8sJZm3evVqWFtbY8SIEVrb+RmuGjY2Nhg3bpz8fPr06fD19cWyZcuwbt06zJkzx4zR6erSpQuGDBkiPx8+fDiaNWuGjz/+GOPHjzdfYKUYO3YsPvzwQyQnJ8PHx8fc4RBRNZOVlYUbN24AAPz9/eHl5aX3saIwDeL+QQCA5NoBkq2/SWKs7jgzj8pn4BLQGdkKKJVK08RCRGQkV+7tx7qz/XUSeRqZBYlYd7Y/rtzbX6VxrV69GlevXsUrr7yilQTQ6N27N15++WVcvnwZa9eulbfPnz8fkiQhNjZW5xhJkjBx4kStbV9++SV69eqFgIAA2NraIjAwENOmTdOZ0VK839iuXbvw+OOPy2WpD87akCQJN2/exJEjR7TKyh48z4MmTpwoj9PQ9Gi7ceMGBg0aBFdXV3h5eeHFF19EYWEh8vLy8PLLL8Pf3x8ODg6IiIjArVu3ynppAQAxMTEAgG7dupW438/PTyuGDRs2yPem+SqehDpy5Ah69uwJV1dXODo6onXr1vjhhx9KPPepU6cwdOhQ+Pj4wM7ODsHBwZg8eTLu3bunM7a81xpQz5YbOXIkQkJCYG9vD09PTwwcOBBnz57VGfvHH3+gT58+cllxYGAgBg0ahH/++Uevey2tZ54h91Rcly5dcPXqVSQkJMjbzp07h/T0dEyZMgX+/v46M/eOHDkCZ2dntGrVCoD+72FDfPHFF7CyssK0adPK/Vlm69ataNOmDTw9PbW28zOsZqrPcFl69eoF4L/PuSGfEQBYuXIlwsLCYGdnh3r16mHFihVymeyDyee0tDTMnj0bderUga2tLfz8/DBlyhS9/yDQtGlTeHt7y7FqxMfHY9asWWjevDnc3d3h4OCA5s2bY+XKlTrn0LxnLl++jNdeew0BAQGwt7dHeHg4jh07plccpb3nIyIiUFBQgJ07DavQISICgIsXL0IIAaACC1+k7pb79bPEtnScmUflUngNhjL5e73Hx6Q0gltCAgIDA00YFRFRxRWpCrD5wgSoyljYBwBUogibL0zAG53jYKWwqZLYtm9XtyqYOnVqqWOmTp2Kjz/+GNu2bcPzzz9foessXrwY7du3R69eveDm5oYzZ85g/fr1OHbsGP766y/Y2dlpjd+7dy/+97//Yfr06ZgyZQq+//57vPXWW6hVq5Y8q+Tbb7/Fyy+/DG9vb7z11lsViqu47Oxs9OjRAz179sQnn3yCgwcPYvny5bC1tcWlS5egVCoxd+5c3Lx5E5999hmeeuopHDp0qMxz1qlTBwCwZcsWjBs3Du7u7qWOfeutt+TZYsVL4Ro2bAgA2L17N4YOHYqAgAC8+uqrcHJywsaNGzFmzBjcvn0br776qnzMTz/9hBEjRsDDwwNTp05FSEgI7ty5g127duH27dvw9v6vsbM+rzWg7sV1//59TJo0CQEBAbhx4wa++uordOzYEX/99RfCwsIAANHR0ejduzfq1auHOXPmwMPDAwkJCTh06BCio6PRtGnTcu+1JIbc04O6dOmCzZs348iRIxg1ahQAdbLOwcEBrVu3RqdOnbSSeRkZGTh37hx69uwJa2v1j6+GvofL8/bbb2PhwoWYO3cu3nvvvTLHJiUl4fLly+jfv7/OPn6G/2OKz3BZNIkxzXtP388IAHz88cd4/fXX0apVK3z44YfIycnBJ598Al9fX53r3L9/H+3bt0d8fDymTp2KsLAwxMbG4osvvsDhw4dx5syZMv9tAdTJwLS0NJ3z//333/jpp58wbNgw1K1bF7m5udi2bRuee+45pKSkYO7cuTrneuqpp+Dk5ITXX38dGRkZWLJkCQYMGIAbN27Azc2t1BjKes8//vjjsLOzw+HDh8t8LxMRPUgIIa9ia21trfVvrT5U9/6rnFB4DTNqbA8VQSZ38uRJAUCcPHnS3KFUiEqZLwqO+4mC31HmV/7vEGm/uohPl3wsjh07Zu6wieghcuXKFXHlyhWjne9cwo9izi/Q++t8wmajXbs8np6ewtXVtdxxLi4uwsvLS34+b948AUDcuHFDZywAMWHCBK1tWVlZOuO+/vprAUD88MMP8rYbN24IAMLJyUncvHlT3p6TkyN8fHxEeHi41jlq164tunTponNuzXnmzZuns2/ChAniwR9JunTpIgCIpUuXam1v1aqVkCRJPPHEE1rbZ8+eLQCIS5cu6Zz/Qf369ZPvqXfv3uKdd94RP//8s8jLy9MrNiGEKCoqEkFBQcLDw0MkJCTI23Nzc8Vjjz0mbG1tRXx8vBBCiMzMTOHp6Sn8/PxEYmKizrmUSqUQwvDXuqTvYXR0tLC1tRXPPPOMvO3zzz8XAERSUlKZr0tp9yqE+vtRu3Zt+bm+91SaqKgoAUArzkGDBolu3boJIYRYsWKFsLOzE7m5uUIIISIjIwUA8eGHH8rjDX0PF3/vHTp0SAAQ69atE0VFRWLq1KlCoVCIFStWlBm3xm+//SYAiC+++EJnHz/Daqb8DHfp0kW4urqK5ORkkZycLG7cuCE2bNgg3N3dhZWVlTh//rwQQv/PSEpKirC3txctWrTQ+ncgPj5euLq6CgDi0KFD8vbnn39eODo6iqioKK1znzlzRlhZWYl33nlH3rZu3ToBQHzzzTciOTlZJCYmimPHjonu3bsLAOLVV1/VOkdOTo5QqVRa21QqlejatatwdXUV+fn58nbNe2bQoEFax2zdulUAECtXrpS3VeQ9X7duXdGiRYtS9wth/P8/E1H1d+fOHbF48WKxePFiERkZadCxqsIMUXDUThT8DlH4V2sTRWhZKpov4sw8KpeksIVV2AYoo/rL011LHAdrHIwdA5WwQlxcHNq1a1eFURLRo2r92UFIyblm0DHpebcNGr81aioOXJtv0DFejnUx8bFdBh0DqGcgFS/1LI2rq2ulygmdnJwAqPuUZWRkoKioSO5FdurUKXm2lMaQIUMQFBQkP3dwcEDbtm31LuWqCCsrK0yfPl1rW4cOHXD69Gk899xzOtsXL16Mq1evokGDBmWed/v27Vi5ciW+/fZb/Prrr9i/X11K7eXlhSVLlmDChAnlxnbmzBnExcXh1Vdf1fp+2dvbY9asWRg3bhwiIyMxdepU7N+/H6mpqViyZAlq1Kihc64HF0/Q97XWfA8BIDMzE/n5+fDy8kJYWBhOnTol79PMzNm2bRumTZsmz2yrDEPv6UGNGjWCr6+vPPtOMyvwpZdeAgB07twZ+fn5OHnyJLp06VJivzxD38Mlyc3NxbBhw7Bv3z5s2rSpxFVpS6L57D1YYgvwM1ycqT7DgPp1frCXW+3atbF+/Xo0a9YMgP6fkQMHDiAvLw/PPfec1oxGf39/jB07VqvEVQiBH374AV27doWvr69WSXlQUBDq1auHAwcO6Cwm89RTT2k9t7W1xezZs3VKnYv3UMzPz0dWVhaEEOjVqxcOHz6M6Oho+f40XnjhBa0yZ00bgQdLeAHD3vNeXl64fduw/18SEWlm5QEVKLFN2wuIfAAssS0Pk3mkF4VHb6BxJJSXJwCFJfQCsfFTJ/wS7gP3byEhIQGFhYWwsamasjQienSl5FzD3eyLJr1GvjLD5NfQcHV1RUZGRrnjMjIySkyi6OvAgQN499138eeffyI/P19r3/3793XGh4SE6Gzz9PRESkpKhWMoj7+/v06poKZ0rXbt2iVuT01NLfe8dnZ2mDlzJmbOnImsrCycOnUKO3fuxKpVqzBp0iTUqVMHnTp1KvMcmqbOJa3Optl2/fp1AMDVq1cBAC1atCg3NkD/1zomJgZvvPEG9u/fr/OeKX6OUaNGYePGjXjuuefw2muvoUOHDoiIiMCoUaMq/B4y9J5K0rlzZ2zduhVJSUlITExEWlqavNJtkyZN4OHhgSNHjsjJvOL98gDD38Mlee2115CZmYnt27dj6FD9V8vTJE7Ev/2AiuNn+D+m+gwD6kTdjh07AKgXw/D390e9evW0klr6fkY0n+eSSsEe3JacnIyUlBTs3bu31IUhNOX8xS1YsADt27dHbm4u/vjjDyxZsgSpqak6yfXCwkJ88MEH+Oabb+R/Q4rT53urSTKX9L015D0vhNDphUhEVJbCwkJ5tXZXV1fUqlXLoONV97bKjxVM5pWJyTzSm8KjN6Q2cRApO6BKWgeR9jMAQPIcAKuG2yEpbFCr1nHcunULSqUS8fHxOj+oEREZm5djXYOPSc+7jXxl+b9sa9hZucLN3rA+oBWJC1Ango4ePYrr16+X+AshAFy7dg2ZmZlaiY3SfuEqqYn/yZMn0bdvX4SFhWHRokUIDg6Gg4MDlEolIiIioFKpdI6xsrKq0P2UF19pMZZ3zdL2lZRcKYuzszO6d++O7t27o1mzZpg6dSrWr19fbjKvIvT9pVif1zozMxOdO3dGXl4eZs+ejcaNG8PZ2RkKhUJOUmrY2dnhwIEDOHnyJPbt24fff/8ds2fPxjvvvIOdO3dWanXYyvyi37VrV2zduhVHjhxBQkICbG1t0bZtW/m8HTt2xOHDh/HKK6/gzJkz6NGjh5z4qMh7uCSDBw/Gtm3b8NFHH6F79+5l9hcrTpPESUtL09nHz7B+16zsZ9ja2ho9e/Ysdb8hnxFDaF7bPn36YPbs2SWOKWmF4mbNmsnxDhw4EAEBAZg5cyZatWqFZ599Vh73yiuvYMWKFRg7dizmz58PHx8fWFtbY+/evfjss88M+t6W9Foa8p5PTU3lSrZEZJCrV6+ioKAAgPr/h4b8nCCUORCpe9VPnJpBcgg1RYgPDYtP5qlUKnz++ef43//+hxs3bsDX1xejRo3CggUL4OjoWO7x+fn5WLhwITZu3IiEfxdlmDJlCl599VWdv4RlZWVh6dKl2LRpE2JjY+Hg4IAGDRpgxowZepVqPAokhQ0kn+GQvIei6JgboMoBiu5D+rcxfFBQkFyucevWLSbziMjkKlLKej5xM77/e6Te459svAbN/PQrv6usYcOG4ejRo1i7di3ef//9EsdoVsAcN26cvE0zEyMtLU1r1dGSZnZs2rQJSqUSkZGRWmM1f0mtjNJ+aCse34NKitEc2rRpA0C9mqRGafejSdJcvKg7Y1OzTTOmfv36ANSrtZa2iq6hfvvtNyQkJGDdunU6q5ympqbC1tZW55jw8HCEh4cDUP+w/dhjj2H+/PnyKp2G/MBtjHvSJBE1ybw2bdrA3t5e3t+5c2e88847OHTokFYJKWC893CPHj0wceJEDBw4EL169cL+/fvLXbgAUJcJAyWXMfIzbBkM+YxoXsPLly+jc+fOWmMffE19fHzg5uaGrKysMpOJ5Xn++efx1Vdf4e2338a4cePg4uICANi4cSO6dOmCjRs3ao0/ePBgha9VnL7v+fz8fNy6dQsjRowwynWJ6NEQFRUlPy6peqEsIu0XdX4BgMKLs/LKU3ZDEwvw8ssv45VXXkGjRo2wYsUKDB8+HEuXLsXgwYP1+svdyJEjsXDhQnTv3h0rVqxAly5d8Oabb+r07xBCoF+/fpg3bx7Cw8Px6aef4s0330R2djZGjx6NDz/80FS3WC1JkjUkZ/Vfk0XWGQhVIQDAz89PTpLGxcWZLT4iorI09h0CF9vye1oBgIutHxr7DjFtQMVMmzYNderUwZIlS/Drr7/q7P/111+xZMkSNGrUCKNHj5a316tXD4D6F9jili5dqnMOzSyOB2d4fPTRR5UNH87OziX+su/i4oIaNWrorFR58uRJHD9+vNLX1dfVq1dx7VrJPRZ37VInhouv4Ors7AxAN4Hx+OOPIygoCF9//bVW37P8/Hx8+umnsLW1lVc67d27N7y8vLB48WLcvXtX57qGziYESv8ebtiwAQkJCVrbivf00qhTpw7c3Ny0yvBKu9eSGOOeGjVqBB8fHxw6dAi///67XGKr0alTJ+Tm5mLRokUAtPvlGfM93KNHD0RGRiIqKgo9e/bU6/59fX11+q5p8DNsGQz5jPTq1Qt2dnb48ssvtUqWExIS8N133+mcd8yYMfi///s/7NmzR+e6Qgi9eiFaWVnhzTffREpKCpYvX661/cGYk5OT5QSwMejznj979iwKCgp0PpdERKVJT0+XcwBBQUF6z3bX0FrFliW25bLomXlRUVFYvnw5hg0bhm3b/vvGhoSE4MUXX8SWLVvK/GvR3r17sXPnTrzyyitYsmQJAGDq1Klwd3fHp59+iqefflr+K/zp06dx9OhRzJw5E5999pl8junTp6NOnTr43//+hzfeeMNEd1o9Sa7hEBm/A6pcIOcfwPlxWFlZITAwELGxsUhMTER+fr5OrxQiInOzVthiRJMNWHe2P1RlLOyjkKwxoskGWCmqrv+nk5MTdu3ahT59+qBPnz4YOXKkPFPk6NGj2LRpE2rXro3du3drlXL16tUL9erVw9y5c5GSkoLAwEDs379f55dWQN0I/7PPPkO/fv3wzDPPwMrKCrt379YriVGe8PBwfP3115g/fz7CwsIgSZI8u33GjBl45513MGDAAAwYMACxsbFYs2YNmjVrhvPnz1f62vo4f/48Ro4ciW7duqFr166oWbMmMjIycOTIEezcuRN+fn545ZVXtO5nxYoVeP755xEREQEbGxt0794dvr6+WLFiBYYOHYrWrVtj2rRpcHR0xMaNG/HXX3/hk08+gb+/PwD193T16tUYMWIEmjZtiilTpiAkJAQJCQnYtWsX1qxZY3DvuQ4dOsDX1xezZs3CzZs3ERAQgJMnT2Lnzp2oW7cuior+e18vXLgQ+/fvx8CBAxESEoKioiJs374d8fHx8oIT5d3rg4xxT5IkoXPnzvLPeA8mDVq2bAknJyccPXpUp1+esd/D3bp1w969e9G/f3/07NkTBw4cKHFxi+KefPJJfPLJJ0hJSYGXl5e8nZ9hy2DIZ8TLywvz5s3Dm2++iY4dO2LMmDHIycnB//73P9SvXx+nT5/WmrH4wQcf4I8//sDgwYMxevRohIeHQ5Ik3LhxAzt37sS4ceMwf/78cmMcNWoU5s2bh08//RQvvvginJ2dMWzYMKxevRqjRo1C9+7dkZCQgP/9738ICgqq1IIpDyrvPf/zzz/D1tYWgwcPNto1iejhVqlZeap8iNTd6icOYYBjI2OG9nAy4oq6RvfWW28JAOL333/X2p6bmyscHR3FwIEDyzx+7NixAoCIi4vT2h4XFycAiBdeeEHeduDAAQFAfPLJJzrnadiwoWjUqFGF76OiSw1bOmXyVlHwO0TB7xBFd76Ut588eVJeivratWtmjJCIHhZXrlwRV65cMfp5Lyf/It475Cfm/AKdr/cO+YnLyb8Y/Zr6Sk1NFXPnzhVNmjQRjo6OAoAAIDp37ixycnJKPObixYuie/fuwt7eXnh6eopJkyaJ1NRUAUBMmDBBa+yWLVtE8+bNhYODg/D19RVTpkwR9+7d0xl748YNAUDMmzdP53oTJkwQD/4okZCQIAYPHizc3NzkmDUKCgrEzJkzhY+Pj7C3txdt27YVR44cKfE8Xbp0EbVr19a55rx58wQAcePGDa3thw4dEgDEunXrSnxtNJKSksTixYtFnz59RFBQkLCzsxMODg6iQYMG4qWXXhLx8fFa44uKisTMmTOFn5+fUCgUAoA4dOiQ1nW7d+8unJ2dhb29vWjVqpX47rvvSrz2sWPHxIABA4S7u7uws7MTwcHB8usuhOGv9dmzZ0XPnj2Fq6urcHV1FREREeL8+fM6r91vv/0mhg8fLoKCguT3Rrt27cS3336r972W9v0o757Ks3z5cgFAWFtbi6ysLJ39PXv2FABEnz59dPZV5j1c2vvl999/F87OzuKxxx4r9x5iY2OFQqEQK1euLHE/P8Om+Qxrzu3m5lbuOH0/IxorVqwQ9erVE7a2tiI0NFQsX75cLFu2rMSf4zMzM8U777wjGjZsKOzs7ISrq6to3LixeOGFF0RUVJQ8bt26dQKA+Omnn0qM8auvvhIAxIcffiiEECIrK0vMnDlTBAYGCjs7O9GoUSOxcuVK+TzF//0p7bUUQui8Dwx9z4eGhoqRI0eW/MIWY6r/PxNR9aJSqcRXX30lFi9eLJYtWyYKCgoMOl6ZEvlfbuHGmyaK0jJVNF8kCVGB2o4q0qdPH/z666/IycnRmd3VoUMHXL9+vcS/VmqEhYUhOzu7xCXVa9asiaCgILks4P79+wgJCYG1tTW+/PJLtG3bFllZWfjqq6+wfPlyfPfddxg5Uv/+SsWdOnUK4eHhOHnypDwT8GEg8m+j6JR6dRrJdwKsw9YDABITE+WShJYtW1aqsTYREfDfypmaMjRjUqoKEXV3B6Lu7kBe0X3YW7ujse8QNPYdUqUz8sqTm5uLvn374ujRo9i4caNWeR4RmceECRNw5swZ/P3331Aoyu5ew89w9fTCCy9gxYoVSEhIgJ+ffu0Zqruff/4ZAwYMwNmzZ9GsWbMyx5ry/89EVH3ExcVhy5YtAICmTZuid+/eBh1fdGUKRNLXAADrx85Acn7c6DFaqormiyy6zDY+Ph7e3t4llmnWrFkTx44dg1KpLHUFp/j4eLlBcUnH37lzR37u7u6OXbt2YerUqVqlu+7u7tizZw8iIiL0ivnOnTta5wW0p5s+TCS7QMC2JlBwByLzpLzd19cXdnZ2cuNcIiJLZqWwQTO/4VW2wEVFOTg4YPfu3ejVqxeeeuopODk5YdCgQeYOi+iR9v7776N+/frYsmVLuX/05WfYsuXm5uqsQpuQkIBvvvkGTZo0eWQSeQCwYMECTJgwodxEHhGRxoULF+THTZo0MehYIYogUnaqn9gFA06PGTGyh5dFJ/NKmpGnoVntLDc3V27YbOjxOTk5Wtvc3d0RFhaGHj16oGfPnsjIyMAXX3yBJ598Ert379ZrtbbVq1djwYIF5Y57WEgu4RAp24HcaIjCNEg2HlAoFAgMDMS1a9dw9+7dEn84IiIiw7m4uODEiRPmDoOI/hUYGKjz82RZ+Bm2XAcPHsSbb76JoUOHIjAwEDdu3MDq1auRlZVllIVFqhO+R4nIEPn5+fIsXQ8PD7lnsL7E/SNAkXpBLoX3E6Wuqk7aLDqZ5+joWOIKaQCQl5cHAGUmiRwdHbVWpHrweEdHR/l5XFwcOnTogOeffx4ffPCBvH3kyJFo0qQJpkyZgpiYmHJLKKZNm4Z+/fppbYuKisLkyZPLPK66kpN5AETWn5A81NNpg4KC5NUCb9++zan3RERERGSx6tevj5CQEKxevRopKSmwt7dH69at8cYbb6BHjx7mDo+IyGJdvnxZXlSoSZMmBifjRMp/i51KXMVWbxadzAsICMDFixdLXBH1zp078PPzK7XEVnP8gyWvxY8PCgqSn69duxaZmZl48skntcY5ODigX79+WLFiBW7duoXatWuXGXPNmjVRs2bN8m7toSG5hMuPReZJ4N9kXq1ateTtcXFxTOYRERERkcWqX78+du7cae4wiIiqHU2JrSRJpbY5K40QKqju/aR+YhuglV+gspU9zczMWrduDZVKhVOnTmltz8vLw7lz59CqVatyj79z545O37Zbt24hPj5e6/jExEQAgFKp1DmPJstcfAl7UpNcWkHzNireN8/b21ueNcm+eUREREREREQPl5SUFHlR0pCQkFJboJVGZBwDCtW5GIXXMEiSRaeoLIpFv1IjR46EJElYunSp1vbVq1cjJycHY8eOlbddu3YN0dHRWuM0q4Q9eLzmefHjNRnkDRs2aI1NT0/Hrl274OXlheDg4ErczcNJsnICnJoCAETGCWgWR5YkSZ6dl5KSguzsbLPFSERERERERETGVXyxz8aNGxt8vLhXvMT2yTJG0oMsusy2adOmmDFjBlasWIFhw4ahX79+uHTpEpYtW4bu3btrrRrWo0cP3Lx5U04mAUD//v0xYMAAfPrpp0hPT0e7du1w/PhxrF27FhMnTkTbtm3lsRMnTsTSpUvxxRdfID4+Xl4AY82aNYiPj8eXX35ZZknvo0zhEg5V9nl108q864BDXQDqvnlXrlwBoC61bdiwoTnDJCIiIiIiIiIjUKlUuHjxIgD1AqN169Y16HghBFT/9t+HjS8kt47GDvGhZtHJPEA9iy44OBhfffUVIiMj4ePjg5deegkLFizQq7Hili1b8N5772Hjxo349ttvERgYiIULF2LOnDla49zc3HD69Gl89NFHiIyMxC+//AKFQoEWLVrg448/xhNPsBFjaSSXcCDxKwDqUlvp32Re8b55t27dYjKPiCrMysoKBQUFEEJwhSsiIiILIISAUqmEra2tuUMhIjOIjY2VK/AaNmxo8OQnkXUayI8DACi8hkCSOHnKEBafzLOyssKsWbMwa9asMsfFxsaWuN3e3h7vv/8+3n///XKv5eXlhUWLFmHRokUVCfWRJbn8N8NRZJ4EfMcAUC9L7ezsjKysLPbNI6JKsbOzQ35+PhISEuDv78+EHhERkRkJIZCQkAAhhM5ChUT0aNAsfAGoV7E1lLi3VX7MVWwNZ/HJPKoGHBsAVq6AMgMi84S8WdM379KlS7h//z4yMjLg6upqxkCJqLry8/NDfn4+0tPTkZGRwbYHREREZqRUKuVEnp+fn7nDIaIqlpOTg2vXrgEAfHx84Ovra9DxQgioNP3yrD0guXUzdogPPYteAIOqB0lSQHJpDQAQWecgVPnyvqCgIPlxXFxclcdGRA8HKysr1K5dG66uriznISIiMjNbW1u4urqidu3a/AMb0SMoOjoaKpUKQMVm5SH7byBPnQyUPAdBUtgYM7xHAmfmkVFILuEQ9w8CogAi6xwk13AA2sm8W7duVeyDTkQEdUKvZs2a5g6DiIiIiOiRolQqERMTg5iYGOTn5yM+Ph4AoFAoKtQbX1VsFVsFS2wrhMk8Mgqdvnn/JvNcXV3h5uaG9PR0xMXFsXk9ERERERERUTURGxuLffv2yYtdFCdJEpKSkhAcHGzQOVUp/ybzrJwhefQyQpSPHpbZklFILuHy4+J984D/VrXNysrC/fv3qzIsIiIiIiIiIqqA2NhYbN++vcREHqCesbd9+/ZSFyQticiJBnIuAgAkzwGQFPbGCPWRw2QeGYVk6wvYBQP4d2ZeMeybR0RERERERFR9KJVK7Nu3D0KIMscJIbBv3z4olUq9zqtVYuvFEtuKYjKPjEaenZd3HaIgWd6umZkHMJlHREREREREZOliYmJKnZH3oOzsbMTExOg1Vk7mKRwgefataHiPPCbzyGgk12J987JOyY+dnZ3h6ekJQL0IRnmZfSIiIiIiIiIyH32Tc4aMF7nXgeyzAADJIwKSlVOFYiMm88iItPrmZZTcNy83NxcpKSlVGhcRERERERER6S8/P9/o41Up2+XHXMW2cpjMI6ORnB8DJBsA7JtHREREREREVF3Z2dkZfbzQlNhKNpA8B1QkLPoXk3lkNJLCHpJTcwCAyDwFIVTyPvbNIyIiIiIiIqoeQkNDjTpe5N+GyFRX8EnuvSBZu1U4NmIyj4xMcvm3b54yHci9Im93cHCAj48PAOD27dtQqVQlHU5EREREREREZhYaGgonJ/162jk5OZWbzFPd+0l+zBLbymMyj4xKci3WNy9Tu2+eptQ2Pz8fycnJICIiIiIiIiLLY2VlhYiICEiSVOY4SZIQEREBKyurMseJlG2aM0PyGmykKB9dTOaRUWkvgqHdN4+ltkRERERERETVQ3BwMIYNGwYHB4cS9zs5OWHYsGEIDg4u8zyiIAki/SgAQHLvCsnGy9ihPnKszR0APWTsQwFrT6AoFarMkyiemw8MDIQkSRBCIC4uDq1btzZbmERERERERERUtuDgYLRp0wZHjhwBAPj6+sLT0xOhoaEIDQ0td0YeAKhSdgBQt9qSvJ80YbSPDibzyKgkSYLkEg6R9jOQ/TeEMgeSlSMA9eo2fn5+SEhIwJ07d6BUKvX64BMRERERERGReSQkJMiPn3jiCTg6Ohp0vLyKLSQovIYYL7BHGMtsyej+K7VVQmSd0dqnKbUtLCxEYmJiFUdGRERERERERPoSQiA+Ph4A4OHhYXgirzAVIv0QAEBy7QjJ1s/oMT6KmMwjo9Pqm5dZet+8W7duVVlMRERERERERGSY9PR0ZGVlAQBq1qxp8PEidRcgigAAElexNRom88joJJc28uMHk3k1a9aEQqF+23ERDCIiIiIiIiLLdefOHflxRZJ5KrnEFlB4DzNKTMRkHpmAZOMJONQHoJvMs7GxQUBAAAAgPj4eRUVFVR4fEREREREREZWvMsk8UZQBkbYfgHrSj2RXq5wjSF9M5pFJyKW2+bcg8uO19mlKbZVKpVx7T0RERERERESWRZPMc3R0hLu7u0HHitRIQBQAACQvltgaE5N5ZBJl9c0LCgqSH7NvHhEREREREZHlycnJQWpqKgD1rDxJkgw6XrvElsk8Y2Iyj0yirGSen58frK2tAbBvHhEREREREZElKl5JFxgYaNCxQpkDkfaz+olTc0gOdY0Z2iOPyTwyCcmpGaCwB6CbzLO2tpZr7RMTE1FQUFDl8RERERERERFR6SrVLy9tH6DKAcBZeabAZB6ZhKSwheT8OABAZP4JIZRa+zV981QqldY/EERERERERERkfprf1W1sbODj42PQsVoltuyXZ3RM5pHJyKW2qmwgJ0prX/G+eSy1JSIiIiIiIrIchYWFSEpKAgD4+/tDodA/fSRU+RCpe9RPHBpAcmpkihAfaUzmkclo9c3L0C61rVGjBmxtbQFwEQwiIiIiIiIiS5KYmAiVSgWgAv3y7v8KKDMAsMTWVJjMI5ORXNrKj1UP9M1TKBTyPwhJSUnIy8ur0tiIiIiIiIiIqGSV6ZfHVWxNj8k8Mh27IMCmBgBAZJ7Q2a3pmwcAt2/frrKwiIiIiIiIiKh0mmSeJEnw9/fX+zihKoRI2al+Yh8COLUwQXTEZB6ZjCRJ/5Xa5lyEKMrQ2s++eURERERERESWRaVSIT4+HoC6RZaNjY3ex4r0w0BRKgD1wheSJJkixEcek3lkUv/1zRMQWae19vn4+MDe3h4A++YRERERERERWYLk5GQUFBQAMLzEVhQrsZVYYmsyTOaRSUmu//XNEw/0zZMkSS61vXfvHnJycqo0NiIiIiIiIiLSVtF+eUIooUr5Sf3EtiYklzbGDo3+xWQemZTk3AqAelqtyNDtm1e81Jaz84iIiIiIiIjMq8LJvIz/AwrvAlAvfCFJTDmZCl9ZMinJ2hVwbARAPTNPCKG1v/giGOybR0RERERERGQ+Qgg5mefh4QFHR0f9j2WJbZVhMo9MTu6bV5gE5Gsn7Dw9PeHk5ASAM/OIiIiIiIiIzCk9PR3Z2dkADC2xVUF1b7v6iY0vJNcOpgiP/sVkHpmcwkW/vnlpaWnIzMys0tiIiIiIiIiISK3CJbaZfwIFtwEACq+hkCQro8dG/2Eyj0xOcg2XH4tM9s0jIiIiIiIiskQVTualsMS2KjGZR6bn2BhQqEtpH5yZB7BvHhEREREREZEl0CTznJyc4O7urtcxQgioNP3yrD0guXU1TXAkYzKPTE6SrCC5tAIAiKy/IFSFWvvd3Nzg6uoKQJ3Me3CRDCIiIiIiIiIyrZycHKSmpgJQz8qTJEm/A7PPA3nXAQCS12BIChtThUj/YjKPqoSk6ZunygOy/9beV6xvXmZmJtLT06s6PCIiIiIiIqJHWnx8vPzYkBJbVbFVbBVeLLGtCkzmUZWQV7QFoCqnbx5LbYmIiIiIiIiqVkX75cnJPCsXSB69jB0WlYDJPKoSxZN55fXN4yIYRERERERERFVLk8yzsbGBj4+PXseInEtA7iUAgOQ5AJLCzmTx0X+YzKMqIdkFALaBAEpO5rm4uMDDwwMA++YRERERERERVaXCwkIkJSUBAAICAqBQ6Jcu0iqx5Sq2VYbJPKoykuu/ffNyr0AUpurs15TaFm+6SURERERERESmlZiYCJVKBaCCJbYKB0geEaYIjUrAZB5VGe1S21M6+4uX2rJvHhEREREREVHVqEi/PJF7Dcg+BwCQPPpCsnIyRWhUAibzqMqwbx4RERERERGR5bl9+zYAQKFQwN/fX69jWGJrPkzmUZWRnFsCsAJQcjLP0dER3t7eANTJPPbNIyIiIiIiIjItlUqF+Ph4AICvry9sbGz0Ok6k/JvMk2wheQ4wVXhUAibzqMpIVo6AUzMA6mReSck6Td+8vLw83L17t0rjIyIiIiIiInrUJCcno7CwEIABJbb5t+T2WZJHL0jWriaLj3QxmUdVSqEptS1KBfJidPaz1JaIiIiIiIio6lSkX57q3nb5scKLJbZVjck8qlKSa9l98wIDAyFJEgAm84iIiIiIiIhMrUKLX8j98qwgeQ0yQVRUFibzqEppLYKRoZvMs7e3h6+vLwB1Mk+pVFZZbERERERERESPEiGEnMzz8PCAo6Nj+ccUJEJk/AEAkNy7Q7LxMmmMpIvJPKpaDmGAlRuAkmfmAf/1zSssLERSUlKVhUZERERERET0KElPT0d2djYAA0psU3YAUPfAl7iKrVkwmUdVSpIUkFzaAABE9jkIVZ7OGE0yD2CpLREREREREZGpVK7EVoLCa4jxg6JyMZlHVU4utRWFEFlndfbXrFkTCoX6rRkXF1eVoRERERERERE9Moon8wIDA8sdLwpTIO4fAgBIrp0g2dYwWWxUOibzqMpJrm3lxyWV2trY2MDPzw8AEB8fj6KioiqLjYiIiIiIiOhRoUnmOTk5wc3NrcQxQlUAVfJmFEWPRdHf3QH829vea3AVRUkPsjZ3APTokZzbyI9FxgmghJm8QUFBciIvISEBtWrVqsIIS6dUKhETE4OYmBjk5+fDzs4OoaGhCA0NhZWVlbnDIyIiIiIiItJLTk4OUlNTAagr5CRJ0hmjStsP5eUJQGGizj5x+2OonJpA4dHb5LGSNibzqMpJtj6AfR0g73qZi2CcOHECgLrU1hKSebGxsdi3b5/cHFQjOjoaTk5OiIiIQHBwsHmCIyIiIiIiIjJAfHy8/LikfnmqtP1QRvUHRCnVcoV31fsbRzKhV8VYZktmIffNy4+FKLirs9/f3x/W1upcsyUsghEbG4vt27frJPI0srOzsX37dsTGxlZtYEREREREREQVUNbiF0JVoJ6RV1oiTx5YBOXlCRCqQlOESKVgMo/MQnIpu2+etbU1AgICAAAJCQkoLDTfPwxKpRL79u2DEKLMcUII7Nu3D0qlsooiIyIiIiIiIqoYTTLPxsYGPj4+WvtEyo4SS2tLVJioHk9Vhsk8Mgt5Zh4AkXmixDGa0lqVSqX1F4OqFhMTU+qMvAdlZ2cjJibGxBERERERERERVVxhYSGSkpIAAAEBAVAotNNDqpSdBp1PxWRelWIyj8xCcm4BSLYASp6ZB6j75mnExcVVRVglMjQ5x2QeERERERERWbLExESoVCoAJffLQ9F9w05o6HiqFCbzyCwkhZ06oQdAZP4JIVQ6Y2rUqAEbGxsA5u2bl5+fb9LxRERERERERFWprH55AABrd8NOaOh4qhQm88hs5L55ygwgJ1pnv5WVFQIDAwEASUlJZkuS2dnZmXQ8ERERERERUVW6ffs2AEChUMDf319nv8JrsEHnU3gNMUZYpCcm88hsDOmbJ4SQ/7GpSpmZmUhJSTHomNDQUBNFQ0RERERERFQ5KpUK8fHxAABfX1+5Iq44yWsIYOOn3wlt/NTjqcowmUdmo53Ms6y+eUIIREVFYcOGDUhOTtb7OCcnJybziIiIiIiIyGIlJyejsLAQQCkltgAkhS2swjYAknXZJ5OsYRW2AZJCNyFIpsNkHpmPfR3A2hsAoColmefj4wN7e3sAVdc3LysrCzt27MC+ffvk0l43NzdIklTmcZIkISIiAlZWVlURJhEREREREZHByu2X9y+FR29YNY4EFA4lD7Dxg1XjSCg8ehs7RCpHOSlWItORJAmSazhEaiSQ/Q+EMhuSlZPWGIVCgcDAQMTExCA5ORk5OTlwdHQ0STxCCFy6dAmHDh1CXl6efP3w8HCEh4fj1q1b2LdvH7Kzs3WOdXR0RN++fREcHGyS2IiIiIiIiIiMQd9kHgBI7r0AhQugygUUzpDcOgPW7lB4DYHkNYQz8szE4mfmqVQqfPbZZ2jQoAHs7OxQq1YtvPrqq8jJydHr+Pz8fLz99tsICQmBvb09QkND8eGHH6KoqKjE8VlZWZg7dy7CwsJgb28Pb29vdOvWDceOHTPmbdG//iu1VUFkni5xjKZvHgCT9c3Lzs7Gzp078fPPP8uJPG9vb4wZMwbt27eHlZUVgoODMW3aNAwYMAANGjSAu7u7fHzPnj2ZyCMiIiIiIiKLJoSQk3keHh7lT5bJ/hsougsAUNQYD+smkbBu8B0UPsOZyDMji5+Z9/LLL2PZsmUYOnQoZs2ahUuXLmHp0qU4d+4c9u/fX27p48iRI7Fz505MnjwZ7dq1w/Hjx/Hmm2/i2rVrWLNmjdbYe/fuoWvXrkhKSsKUKVNQv359pKen4++//9bKXJPx6PTNc++iM+bBvnn169c32vWFEIiOjsZvv/0mJ/EkSUJ4eDjatm2rUzJrZWWFsLAwhIWFITk5Gd988w0A4Pr166hXr57R4iIiIiIiIiIytvT0dLnarLxZeQCgur9ffiy5s5zWUlh0Mi8qKgrLly/HsGHDsG3bNnl7SEgIXnzxRWzZsgUjRowo9fi9e/di586deOWVV7BkyRIAwNSpU+Hu7o5PP/0UTz/9NNq0aSOPnzFjhpy8K2lpZjI+yeW/17+0RTC8vLzg6OiInJwcoy6CkZ2djV9//RUxMTFa14qIiICfX/mr9nh7e8PNzQ3p6em4du0aVCoVFAqLn+xKREREREREj6jiE5UCAwPLHS/SNMk8K0ju3UwUFRnKojMPP/zwA4QQmDlzptb2adOmwdHRERs3bizz+O+//x4AdI7XPC9+/PXr17FlyxbMmTMH/v7+KCws1LuUlypOsnYHHBoAKD2ZJ0mSXGqblpaGrKysSl/38uXLWL9+vZzIkyQJbdq0wbhx4/RK5GmO0axcm5ubKy/tTURERERERGSJDOmXJ5Q5EOlHAQCSaztI1m4mjY30Z9HJvD///BMKhUJr9hwA2Nvbo0WLFvjzzz/LPb5mzZpaPdcAdQ+2gIAAreN/+eUXCCEQFBSEgQMHwsHBAU5OTqhfv365ScPi7ty5g1OnTml9RUVF6X38o0gutS24A5Ffck+84qW2lVnVNicnB7t378aePXvkslpPT0+MHj0anTp1grW1YZNVNck8AFoz/IiIiIiIiIgsjSaZ5+TkBDe3spNzIv13QOQDACSuWGtRLLrMNj4+Ht7e3rCzs9PZV7NmTRw7dgxKpVKnr1nx4xs1alTivpo1a2plpK9cuQJAPeuvXr162LBhAwoKCrBkyRKMHz8ehYWFmDRpUrkxr169GgsWLNDn9uhfkks4xN0NANSz8yQ73am+xROycXFxaNiwocHXuXz5Mg4ePIjc3Fz1dSUJrVq1Qvv27Q1O4mkEBATAwcEBubm5iImJQZcuXcrt40hERERERERU1XJycpCamgpAnRMp73dXwX55Fsuik3k5OTklJvIA9ew8QF3e6OzsXKHji5fRZmZmAgBcXFxw6NAh2NraAgCGDBmCOnXq4M0338SECRPK7Yk2bdo09OvXT2tbVFQUJk+eXOZxjzKFazhU/z4WmScB7yd0xri7u8PFxQWZmZkG983LycnBwYMH5YQtoJ6NFxERUeneiAqFAnXq1EFUVBTS09Nx7949+Pj4VOqcRERERERERMZWvDWUXotfpP2ifmDtAcmllanCogqw6GSeo6Mj7t69W+I+TYmkg4NDmcfn5+eXenzxJZg15xk9erScyAPUSzUPGjQI33zzDS5fvlzujLCaNWvq9aGgYhybAgoHQJULkVF637ygoCBERUUhIyMD6enp5U4JBoCrV6/i119/1Urcambj2dgYZxnt0NBQuZQ6JiaGyTwiIiIiIiKyOLdv/9fWqtx+efm3gZyLAADJvSckqeSKSDIPi+6ZFxAQgHv37pWYkLtz5w78/PxKLbHVHF+8lPbB44u/eTWPS1r8QDN7Ky0tzaD4ST+SwgaSc0sAgMg6DSGKShz3YKltWXJzcxEZGYldu3bJiTwPDw+MGjUKXbp0MVoiDwBq164tl+mybx4RERERERFZIs3MPBsbm3InoYi0A/JjBfvlWRyLTua1bt0aKpUKp06d0tqel5eHc+fOoVWrsqd5tm7dGnfu3NFZMOHWrVuIj4/XOl6zyEbxTLWGZpuvr2+F7oPKJy+CocoBsi+UOKZ4Mq+sRTBiYmKwfv16REdHy9tatmyJ8ePHm2TWpI2NDYKDgwEAd+/eRUZGhtGvQURERERERFRRhYWFSEpKAqCe+FReCzG5xBbsl2eJLDqZN3LkSEiShKVLl2ptX716NXJycjB27Fh527Vr17SSN4C6ZBaAzvGa58WP79y5M2rVqoWNGzciKytL3p6QkIAdO3YgNDRUa+VSMi45mQdAlVlyqa2rq6tcWnvlyhVs374dkZGRuHz5MpRKJXJzc7F3717s3LlTno3n7u6OkSNHomvXrkadjfcgrmpLRERERERElioxMREqlbpbfbkltkIJcf/fmXkODSDZB5k6PDKQRffMa9q0KWbMmIEVK1Zg2LBh6NevHy5duoRly5ahe/fuGDlypDy2R48euHnzJoQQ8rb+/ftjwIAB+PTTT5Geno527drh+PHjWLt2LSZOnIi2bdvKY62trfHFF19gyJAhaNu2LSZPnoyCggKsXLkS+fn5WL58eZXe+6NGcv3veyEyTwL+z+iMiY2NRXZ2NgBAqVTixo0bAIDo6Gh5oZPiJdmPP/44OnbsaNIknkadOnUgSRKEELh27Roef/xxk1+TiIiIiIiISB8G9cvLOgsUqVe9ZYmtZTLazLyMjAwsWLAAHTt2RL169XD8+HEAwL179/Duu+/qzJrT19KlS7F48WJERUVhxowZ+PHHH/HSSy9h165d5S6jDABbtmzBm2++iQMHDuC5557DoUOHsHDhQnz11Vc6YwcOHIj9+/fD09MT77zzDhYuXIi6devi4MGDiIiIqFD8pCfbQMBW3ZtQZJzQ2R0bG4vt27ejqKjkfnr5+flyIs/NzQ0jR45Et27dqiSRB6gXUAkMDASgLgHOzc2tkusSERERERERlUeznoBCoZDXBSiNSNsvP5aYzLNIRpmZl5SUhI4dOyI2Nhb16tXD9evX5WSGt7c3vv32W6SlpeGzzz4z+NxWVlaYNWsWZs2aVea42NjYErfb29vj/fffx/vvv6/X9Xr06IEePXoYGiZVkiRJkFzCIVJ2ALnREEXpkKzVJbVKpRL79u3TmnVZGmtra4wbNw729vYmjlhXaGgobt26BSEEbty4gUaNGlV5DERERERERETFqVQqefELX1/fcie9CE2/PMkGkltXE0dHFWGUmXlvvfUWkpOT8eeff+L333/XSboMHjwYBw8eNMal6CH2X988AZH5p7w9JiZGLq8tT1FREW7evGmC6MrHvnlERERERERkaZKTk1FYWAhAjxLbokyIzGMAAMm1IyQrJ5PHR4YzSjIvMjISzz//PFq0aFFi6WtISEiZq48SAYDk8kDfvH8ZmhgzVyLN1dVVXvH4xo0b8j+WREREREREROaiKbEF9EjmpR8GhLq9FUtsLZdRknmpqakIDg4udb8QQmthAqKSSC6toHlLisz/+uYZ+t4x53tNMzuvqKgIcXFxZouDiIiIiIiICDAwmacpsQWg8OhjspiocoySzAsMDMTly5dL3X/y5EnUqVPHGJeih5hk5Qw4NgagnpmnKdfWrFSrL0PHGxNLbYmIiIiIiMhSCCHkZJ6HhwccHR3LHK+6/+/iFzY+gFNzU4dHFWSUZN7QoUOxZs0arYSeptw2MjISmzZtwvDhw41xKXrISa7/9s0rTAbyYwFoJ8j0Yeh4Y/L29oabm3rhjmvXrkGlUpktFiIiIiIiInq0paenyz3oAwMDyxwr8m4AuVcBAJJ7L0iSUVJGZAJG+c7MnTsXfn5+aNWqFSZOnAhJkrBo0SJ07twZgwYNQuPGjfHqq68a41L0kFMU75uXoe6bFxoaCicn/ZpuOjk5mTWZJ0mSfP3c3Fx5xSAiIiIiIiKiqmZIia0qbb/8mCW2ls0oyTx3d3ecOHECEydOxIkTJyCEwL59+/DPP/9g+vTpOHLkSLlTOYmA4iva/tc3z8rKChERESUurqJ1rCQhIiICVlZWJo2xPCy1JSIiIiIiIktgWL+8/5J5kkcvk8VElVfpZF5hYSH+/vtvZGZmYvny5UhOTkZSUhISEhKQkpKCL774Qi47JCqXY0PAyhmA9oq2wcHBGDZsWKkz9JycnDBs2LAyF2KpKgEBAXBwcACgTuZpev8RERERERERVSVNMs/JyanM3IwQRRD3D6qfODaFZOtfFeFRBVlX9gRCCDz++ONYvHgxZs6cCQDw8fGp7GnpESVJVpCcW0OkH4LIOguhKoCksAWgTuhNmzYNMTExiImJQX5+Puzs7BAaGorQ0FCzz8jTUCgUqFOnDqKiopCeno579+7xM0FERERERERVKicnB6mpqQDUs/LKqnYTmacAZToAlthWB5VO5tna2qJGjRpQKNgYkYxDcm0LkX4IEPkQ2echubSW91lZWSEsLAxhYWFmjLB8oaGhiIqKAqCencdkHhEREREREVWlipfY9jZZTGQcRsnAPfHEE9i2bRvLCckotPrmZZwwYyQVV7t2bVhbq3Pl7JtHREREREREVa1CyTyFPSTXjqYMi4zAKMm8p59+Gunp6ejTpw8iIyMRHR2NuLg4nS8ifWgvgnGyjJGWy8bGRu7fd/fuXWRkZJg3ICIiIiIiInqkxMfHA1D/flpWtZgoTJN/95bcukCycqiS+KjiKl1mCwDNmjWDJEkQQuDgwYOljlMqlca4HJlRkaoAUXd34OLdncgrug97a3c08h2Mxr5DYP1vb7vKkmz9ALsgID+u2ibzAHWprWZWXkxMDB5//HEzR0RERERERESPgsLCQiQlJQFQL9JYVms0kf4bABUAQHJniW11YJRk3jvvvFNmI0V6OFy5tx+bL0xAZkGi1vZzid/DxdYPI5psQH1v43zwJZe2EPlxQF4MRGEKJBsvo5y3KtWpU0dOcjOZR0RERERERFUlISEBKpU6QWdIvzwF++VVC0ZJ5s2fP98YpyELduXefqw72x8qUVTi/syCRKw72x+THos0SkJPcgmHuLcZgLrUVvLsV+lzVjUHBwfUqlULcXFxuH37NnJzc+HgwOnKREREREREZFr69ssTQkCV9ov6iW0A4NjY1KGREXAJWipXkaoAmy9MKDWRp6ESRdh8YQKUqsJKX/Nh6JsHAHXr1gWg/gfy+vXrZo6GiIiIiIiIHgWaZJ5CoYC/v3/pA3OvAvk3AahXsWXVZfVgtGReQUEBPvvsM3Tu3BmBgYEIDAxE586dsXTpUhQUFBjrMmQGUXd36JTWliazIBFRd3dU+pqS8+OApJ44Wp2TeaGhofJjrmpLREREREREpqZSqeTFL2rUqAEbG5vSx94vVmLLfnnVhlGSeZmZmejQoQNmzZqFc+fOwcfHBz4+Pjh//jxeeeUVdOzYEVlZWca4FJnBxbs7DRpvlGSelQMkp+YAAJF5CkKoKn1Oc3B1dYWvry8AIDY2FoWFlZ+1SERERERERFSa5ORk+XfPgICAMsf+1y9PguTRy8SRkbEYJZk3f/58nDlzBh999BGSk5Nx9uxZnD17Fnfv3sXHH3+MM2fOsK9eNZZXdN+k40sjl9oWpamn/lZTmtl5RUVFuHnzppmjISIiIiIiooeZ3v3yVAUQ6YcAqKvjJBtvk8dGxmGUZN62bdswceJEzJkzB3Z2dvJ2Ozs7vPrqq3jqqaewdetWY1yKzMDe2t2k40vzsPTNY6ktERERERERVRW9k3kZxwGluopSsuBVbItUBTifuBk//D0W6/7qjx/+HovziZtRpHp0W7oZZTXbhIQEtGnTptT94eHh+OGHH4xxKTKDRr6DcS7xe73HN/YdYpTr6iTzajxllPNWNW9vb7i5uSE9PR3Xrl2DSqWCQsG1Z4iIiIiIiMi4hBByMs/T0xOOjo6ljy3WL0+y0H55V+7tx+YLE3T6+J9L/B4utn4Y0WQD6ntbZuymZJSMgq+vL/7+++9S9//999/w9uZ0zeqqse8QuNj66TXWxdbPaMk8ONQDrD0AVO+ZeZIkybPz8vLy5EakRERERERERMaUnp6O7OxsAGXPygMAkfaL+oHCCZJre1OHZrAr9/Zj3dn+pS7ImVmQiHVn++PKvf0l7n+YGSWZN2DAAKxevRpr166FEEJr34YNG7BmzRoMGjTIGJciM7BW2GJEkw1QSGVP5FRI1hjRZAOsFKWvlGMISVJAclHP+BTZ5yGUuUY5rzmw1JaIiIiIiIhMTe8S24JkiKy/AACSezdICluTx2aIIlUBNl+YAJUoKnOcShRh84UJUKoercUmjZLMe++99xASEoKnn34agYGB6NGjB3r06IHAwEBMnjwZISEheO+994xxKTKT+t69MemxyDJn6DXwHmD06a1yqa0okv+hqY4CAgLg4OAAQJ3MezDpTURERERERFRZeifz7h8EoP691BJLbKPu7ih1Rt6DMgsSEXV3h2kDsjBGSeZ5e3vj9OnTeP311+Hu7o7jx4/j+PHjcHd3xxtvvIE///wTXl5exrgUmVF97954o3McxjbbjBZ+Y9DAux+a1hguL3hxKXkX4jPPG/WaD8siGAqFAnXr1gWgnvZ87949M0dEREREREREDxtNMs/JyQlubm6ljlPd/0V+rPDoY/K4DHXx7k6Dxj9qyTyjLIABAK6urnj//ffx/vvvG+uUZIGsFDZo5jcczfyGy9vOJnyPTf+MhYAKOy/NwDOtf4dCMs4CDw9LMg9Ql9peuHABgHp2no+Pj5kjIiIiIiIioodFTk4OUlNTAahn5UmSVOI4IQRE2r995uxqq/vVW5i8ovsmHV/dcUlNqrQWfqNR16MbACD2/v/hr/hvjHZuycYLsFf3mxOZJ4x2XnMICgqCtbU6f86+eURERERERGRM+pbYIuciUKBemFHy6F1q0s+cNBWAphpf3RklmffOO++gadOmpe5v1qwZFi5caIxLkQWSJAmDG66QF8jYe2UOcgrTjHd+zey8/DgIPWvmLZGNjQ1CQkIAAHfv3kVGRoaZIyIiIiIiIqKHhb7JPFWaZZfYAkCoVw+Dxjf2HWKaQCyUUZJ527dvR+/epTdM7NOnD7Zs2WKMS5GFquHcCJ1qvwwAyC5Mxi9X3zLauR+2UlsNzs4jIiIiIiIiY4mPV8+2s7W1LbOtk7j/b4ktFJDculdBZIZJyPwbB6/pPyHMxdaPybyKiI2NRVhYWKn769evj9jYWGNciixYjzrvwM0uEABw8vYq3E4/bZTzSq5t5cfVPZkXEhIiT2FmMo+IiIiIiIiMobCwEElJSQAAf39/KBQlp3uEKg8i/QgAQHJpA8nGo8pi1MfZhO/wxcm2SMu7odd4hWSNEU02wEphY+LILItRknlWVlZlrs6ZnJwMpVJpjEuRBbOzdsaAsM8AAAICP116DiqhqvR5JafmgGSnPm9G9e6b5+DggFq1agEAbt++jdzcXDNHRERERERERNVdQkICVCr1799lldiK9D8AVR4AQLKgElulqhC7ol/Cpn/GoVCl/j25se9QjG++HS62fiUe42Lrh0mPRaK+d+mVog8royTzmjVrhq1bt6KoqEhnX1FREbZu3YpmzZoZ41Jk4ZrWeAL1vNQfpNsZf+LPO2sqfU5JYQvJ+TEAgMj6E0JU78Rw3bp1AahXELp+/bqZoyEiIiIiIqLqTt9+eaJYvzzJwzKSYJn5iVh9ugf+L24ZAECCAn3rfYTxzbehSY2heKNzHMY224wWfmPQwLsfWviNwdhmm/FG57hHMpEHGCmZ99xzz+HcuXMYPHgwzp8/D6VSCaVSifPnz2PIkCE4f/48ZsyYYYxLkYWTJAlDGqyAlWQLANh39Q1kF5Q+a1Pv82r65imzgJxLlT6fObFvHhERERERERmTJpmnUCjg7+9f6jiVpl+elRsklzZVEVqZYu8fw+cnHseN+0cBAI42XpjS8hd0DXlNblFlpbBBM7/hGN3sO0x6PBKjm32HZn7DH7nS2uKMkswbPXo0XnnlFfz88894/PHH4eDgAAcHBzz++OPYu3cvXnnlFYwdO9YYl6JqwNupHrqEzAEA5BSm4uerr1f6nJLLw9M3z9XVFb6+vgDU/SYLCwvNHBERERERERFVVyqVSl78okaNGrCxKTnJJQoSgOy/AQCSew9IknWVxagTixA4FvcF/vdnF2TmJwAAarq2xIttz6CeV0+zxVVdGO07t3jxYjz55JP4/vvv5dlG9evXx+jRoxEeHl7O0fSw6RbyBs7Gf4u0vJv4885atK45BbXd21X4fJLrf+8hVeYJKPymGCNMswkNDcXdu3dRVFSEmzdvas3WIyIiIiIiItJXcnKyPEkkICCg1HEi7YD82JwltoXKXGy/OB1/JXwjb2sVMAlDGn4JGyt7s8VVnRg1Ddu2bVu0baueQXXnzh3Ex8ejXr16xrwEVRO2Vo4Y1GAZNpwbDADYcek5vND2NBSSVcVOaBcM2PgAhckQGdV7Zh6gTuYdO3YMgLrUlsk8IiIiIiIiqgh9++Wp0vbLjxVmSual5tzAt+eHIT7zHADASrLBoAbLER74tFxWS+WrcJnt+fPn8emnnyIlJUVr+71799CnTx8EBQWhbdu2qFGjBubPn1/ZOKkaauQ7CA29BwAA4jPP4cStlRU+lyRJ//XNy4mCUGYZI0Sz8fb2hpubGwDg2rVr8qpDRERERERERIbQJ5knhAri/r8z8xzqQbIPqYrQtFy+tw/LTrSUE3mudjUxvfVRtK31DBN5BqpwMu+LL77AsmXL4OXlpbV94sSJOHDgAOrUqYOhQ4fC09MT7733HrZv317pYKn6GdRgGawV6mmyv8TMRWZ+UoXP9V/fPBVE5mkjRGc+kiTJs/Hy8vLk/gZERERERERE+hJCyMk8T09PODo6ljww+zxQeBcAoHCv2ll5KqHCwesLse6vfsgtSgMA1PHoghfbnkGQO9uyVUSFk3knTpxARESE1rZr165h7969eOyxxxAVFYWtW7fin3/+QWBgIFavXl3pYKn68XQMQbeQNwEAeUXp2Hvl1QqfS56ZB0Bknqh0bObGVW2JiIiIiIioMtLT05GdnQ1A/xLbquyXl1uYjm/ODcH+mLchIAAAnWq/gqktf4WLXY0qi+NhU+FkXnx8PMLCwrS2/fbbbwCA5557Dra2tgDU5YTjx4/HX3/9VYkwqTrrEvwqvBzViau/Er7F9dTfK3QeyaU1APXU2+q+oi2gbkzq4OAAQJ3ME0KYOSIiIiIiIiKqTvTtlyc0yTzJGpJbN1OHBQBIzLyAFSdb41LybgCArZUTxjTbhAFhS2ClMN9Kug+DCifzcnJy4OLiorXt5MmTkCQJ3bppvzHq1KmD+/fvV/RSVM3ZWNljcIPl8vOd0TOgVBUafB7J2g1waABAncyr7skvhUKBunXrAlD/NeXevXtmjoiIiIiIiIiqE7365SmzITL+AABILu0hWbuUOM6Yzif+iBUnw3Ev5yoAwNuxHmaEn0Rzv5Emv/ajoMLJvFq1auHixYta2/744w94eXmhTp06Wtvz8/Ph6upa0UvRQyDMOwJNfIcBABKzLuD/4paXc0QpXFqr/1uQAOU/PVEUPRaq5M0QqgIjRVo2oSqAKnkziqLHouhC/0pfn6W2REREREREVFG3b98GADg5OcmLLD5IpB8BhPp3VlOX2CpVRdhzeRa+/3sUClU5AIBGPoPwfPif8HNubNJrP0oqnMzr2LEjNmzYgKioKADATz/9hCtXruj00QMg982jR9vABktho1A34zxwbR7S8+6Uc4Q2Vdp+IGWH/Fyk/waR/D2U0SNRdKq2Vg8AU1Cl7UfRqdpQRo+ESP4eIm1vpa8fFBQEa2v19GIm84iIiIiIiEhfOTk5SEtTLyhRs2bNUleEFVr98vqYLJ6s/LtYc6YXjt78VH0tSOgTuhDjW/wEB5uSE41UMRVO5r355pvIy8tDs2bN4OvriyeffBK2traYPXu21jiVSoWdO3eiQ4cOlQ6Wqjd3+1roWfcdAECBMgt7rszS+1hV2n4oo/oDyoySBxQmQhnV32QJPfn6hYlGvb6NjQ1CQtRLgt+9excZGaXcHxEREREREVEx+vbLU6X9on5g7QXJ+TGTxHLz/gl8fuJxXE87DABwsPbApMf3onudt6CQKpx6olJU+BWtW7cuDh8+jL59+8LLywsRERH47bff0KxZM61xv/32Gzw9PTFkyJDKxkoPgY61X4avU0MAwN+JPyIm5WC5xwhVAZSXJwCiqJyBRVBengBRgX585rw+S22JiIiIiIjIUHr1y8uLA3KjAQCSe09IkpXB1ylSFeB84mb88PdYrPurP374eyzOJ25GkaoAQgicuPU//O/PzsjIV8cT4NICL7Y9gzBv3cpNMo5KLR/SunVr7Nmzp8wxPXv2xD///FOZy9BDxFphi8ENVmD1mR4AgB2XZmBm+79hrbAt9RiRsqP0GXEPKkyEMqofJPtQQFIAUJTzX6ncMSLrb4OuL1J2QPIZrt94ACEhIZAkCUIIxMTE4PHHH9f7WCIiIiIiIno0aZJ5tra28PHxKXGMuH9AfqyoQL+8K/f2Y/OFCcgs0P6d+Fzi93C29YP//7N33/FR1OkDxz8zu5tN7wkpBBJSSEgIhC6IFBUQUBHFho2znOXOs92d97te9LzzznpnOSsWUFQEBUUsIKI0gZAC6SSBQHpvm92Z+f0xyUJI3ZCQAN/368Uryc53Zr6bhOzsM9/neTzGkV3xhf3xCcE3c9WYl3AyuDp8LqH3RC9g4YyL8pvLuKDrOVD8HmWNmXxX8BRzIh7tcrxasd6h42vVX6Hx1elOs8/UinXIDgTzXFxcCAsLo7CwkKNHj9LU1ISLi8sAzlAQBEEQBEEQBEE4m1mtVkpLSwEIDg5GljtPvFTb1ctzLJiXVb6ZN/YvQu0iS62+pZjsCj3IJ0tGLh/9DBeE3dtl7T6h/4jEZWFQLI75N2aD3g7769y/UtVU2PVgW/WZmVR/6cN8IyMjAdA0jby8vH6ekCAIgiAIgiAIgnAuOX78OKqqAnTZcFTTlBMr81zHIJl735jUprawJu3WLgN5J5OQuWPi10wfcZ8I5J0hYmWeMCg8nUO4NOrPbMh8CKvayKeZD3DL+LWdDzZ6O3Rsye8aDNEvgqYCahcftW626R+11o9qwR/Qqh1obOHgfEGvm7dlyxZAr5sXHy9adguCIAiCIAiCIAid61W9vPq9YNO73crejq3KSy9d1yG1tisaKg0tJQ4dXzg9IpgnDJrpYT/nx6I3KK5PJb30YzLKPic24LIO42S/K1HKVvX6uHLAtUgm/9Oen/1+QtDtKA4E82S/JQ6fy9PTk8DAQEpLS8nPz8dqtWIymRw+jiAIgiAIgiAIgnDuawvmybJMUFBQp2O0dim28x06/sFSx8pdpZeuIzGo9+WmhNMj0myFQWOQjSyJe8H+9ScZP8eqNHcYJ/ktAVPnf5w6MAXp4/vRmTp/W1dbm81GQUFBn44hCIIgCIIgCIIgnNtUVeXYsWMADBs2rMuFIFpVa2MKyQnJ6yKHztHsYPkoR8cLp0cE84RBFeFzIRNDbgWgoimXb/P/2WGMJDthGL0SpB4WkkpGDKNXIsn9u6Kt1+fHcFrnbwvmgZ5qKwiCIAiCIAiCIAinKisrw2q1At2k2Npq0Wp3ACB5zURysLuss4PloxwdL5weEcwTBt1l0f/A2egFwJbDf6eisWMDCNlnHob4jV2vkDMFYYjf2KdW273R4/kBXKKRvC/p8zn8/f3x8tK/D7m5ufZipoIgCIIgCIIgCILQplf18mq2AArgeIotwJjAKx0aHx+4xOFzCH0ngnnCoPMwD2N+1GMA2NRmPsm4H03TOoyTfeZhnFKIIXYNUsCNSD4LkQJuxBC7BuOUwgEL5PV0flwT9QFNGWilb/f5+JIk2VfnNTc3t/sDLQiCIAiCIAiCIAjQPpgXEhLS6Rh7ii2ON78APTjn4dS7clMeTkEimHeGiWCeMCRMC7ubUI8JAGSUb+Rg2SedjpNkE3LAMoyx72JM2Igx9l3kgGX9nlrblc7Ob4x7356Cqxz+NZqtps/HF6m2giAIgiAIgiAIQlc0TbMH83x9fXF17Tx9Vm1rfmEaBm5jHT6PUXbq1eo8WTJybcJKDGfoPbmgE8E8YUiQJQNL4l5Aau0h+2nGL2hRGgd5Vr0jucYih/xC/8Jaglr4lz4fKyQkBBcXF0AP5nW2QlEQBEEQBEEQBEE4P9XU1NDQ0AB0k2LblAvNuQBIPvOQJMdDP4XVu9hT9Fq3YzycgliRtJEY/4HNkhM66qmivyCcMSO8pzI59A52F71CVXMBW/IeZ3703wZ7Wu3Y1BbSS9dxsHQ9zbZqnI3ejAm8kjHDH4XSd/Rg3rHnkIPuQHKNc/j4siwTGRlJWloatbW1lJWVERgYOADPRBAEQRAEQRAEQTjb9KZenn1VHvSpHFWjtZJ3U65F1WwALIl7ATeTP+ml6+zvg+MDlxAfuESsyBskIpgnDCkLov9OWulHNFor+Tb/SSaE3EKAW8xgTwuArPLNrEm7lbqW4naPJxevwsMpiGuG30zk8X+BZkPJvR9DwmYkSXL4PFFRUaSlpQH66jwRzBMEQRAEQRAEQRAAjh49av+8y5V51SeCeZL3pQ4dX9M01qTdRnVzIQDjg25k2vC7kSSJxKBlfZixMBBEmq0wpLg5+bEg+gkAFK2F9Rk/GxKpplnlm3lj/6IOgbw2dS3FrDz8DDlOsQBo1V+hVazr07lGjBiByaTf3RB18wRBEARBEARBEM5viqKQmZnJxo0bycjIAMBsNuPu7t5hrKZa0aq/0b9wG4/kNMyhc20r+DeHyj4FIMB1NEvHvNynRSrCwBLBPGHImRx6O2FeUwHIrviS1JIPB3U+NrWFNWm32pcYd0XVbHzUWIbSGntU8h5CU5ocPp/JZCI8PByAsrIyamr63lBDEARBEARBEARBOHvl5+fzyiuvsGHDBjIyMrDZ9PelFouFV199lfz8/HbjtbpdoNQCjqfY5lf/wKbsRwEwyS4sH/cBZmPHgKEw+EQwTxhyZEnmqrgXkFp/PT/NfBCLrX7Q5pNeuq7LFXmnqrNWcMjzYv0LSz7q0X/26Zwnd7XNzc3t0zEEQRAEQRAEQRCEs1d+fj5r1661N7w4VUNDA2vXrm0X0NOqTk6x7X0wr6GlglUp16NqCgBXxv2HYA/Hu+AKZ4YI5glDUqjnBKaF3QNAraWIr/P63iH2dGiaxr5jbzu0TwZeYPQGQD36BFpzvsPnHTVqlH0ps0i1FQRBEARBEE5Os1u7di0bN24kMzMTRVEGe2qCIAwARVHYtGlTj2WnNE1j06ZN9r8F9np5sguS14W9OpeqqaxJu4Wa5iMATAi+hUkhK/o+eWHAiQYYwpA1P+pvpBSvocFaxncFTzMh5FaC3OMH/LyKaiW/ejsHyz7lUNmnVDQ6FkxrVpuRR/4VNffnoDaj5D2MccxHDh3D2dmZsLAwCgsLOXr0KE1NTbi4uDh0DEEQBEEQBOHckJ+fz6ZNmzqszsnIyMDNzY0FCxbYy7QIgnBuyMnJ6XJF3qkaGhrIyckhZlQAWt0eACSv2UiyuVf7b8t/kozyzwAIdBujZ8qJOnlDmliZJwxZLiZvFsU8Cej16NYfum/AmmE0WivZf3wVq1Ju4K9bA/nfj3PZXvC0w4E8AGejN3Lw3eCqL0nWKtaiVn3l8HHaUm01TSMvL8/h/QVBEARBEISzX1/S7ARBOPs5mqGVk5ODVv01oAIg9bJe3uGq7XyR81sATLIrN437ACejm0PnFs48EcwThrQJIbcQ7q0vDc6r+pbk4lX9duyyhky+zf8XL+2ZxV+3BvJe6nIOFL9Hk63aPsbV5EeE90yHjhsfuARJMmKIfN7+mJJ7P5pqdeg4kZGR9s9Fqq0gCIIgCML5p69pdoIgnP0sFovD49XqE/XyZJ/5Pe5T31LGqpTr7HXyrhrzIsPcxzg2UWFQiDRbYUiTJIklcS/w3M4kVE1hQ8bD2FQrORVf0myrxtnozZjAK4kPXIJRdur2WHr67Pccak2fLW/M7nRcoFsccQGXExdwOSO9L0DVFJ7YNrJXTTA8nIKID1wCgOw9C9X/OrTy96HpEOrx/2AIfbDXz93T05Nhw4ZRUlJCfn4+VqsVk8nU6/0FQRAEQRCEs1tf0uxGjx49wLMSBOFMMJt7lyJ7YrzTieYXTsPBJbbb8aqm8n7qzdRajgEwKfQnTAy5pU9zFc68Ib8yT1VVnn76aWJjYzGbzYSFhfHLX/6SxsbGXu1vsVj4/e9/T0REBM7OzkRFRfH3v//d3s65K2VlZfj5+SFJEs8880w/PBOhr4I9xjJ9xP0A1FtL+DB9BcnFq8go/4zk4lWsSrmOJ7aNJKt8c4d9G61Vp6TPzuG7gqfaBfJkyUiU78VcPvoZfnVhDg/POMjCmH8Q4XMhsmTAKDtxbcJKZKnn2PfU4T/FIJ8IuBlG/QtkVwDUgj+htZQ49NzbUm1tNhsFBQUO7SsIgiAIgiCc3fqSZicIwrmh7b1gb8WFG8BSCOgptj3VvNt6+O9kVXwBQJB7AlfGPt/teGFoGfIr8x588EGee+45rrrqKh5++GEOHTrEM888Q3JyMps3b+7xF/S6665j/fr1/OQnP+GCCy5gx44d/N///R+5ubm8+uqrXe730EMPObysVRg4Ed4z2V7wdJfb61qKeWP/IlYkbcTHJdy++i6/ert9yfDJXE2+jPZfSFzA5cT4zcfF5NXt+WP857EiaSNr0m7tdoXe9sJnmBhyK76uEQBI5uHIYb9FLfgtKLUo+Y9ijHmjl89a/wP+/fffA/rFmaN/0AVBEARBEISzV1/S7ARBODdERUXh5ubWq9W5bm5ujPDKRKvUv+4pxTa3ciubc/4AgJPBjeXjPsDJ4HracxbOnCEdzEtPT+f5559n6dKlfPTRiW6gERER3H///XzwwQdce+21Xe7/2WefsX79eh566CH+/e9/A3DHHXfg7e3NU089xV133cWUKVM67Pf111+zatUqHn/8cR599NH+f2KCQ2xqC+sO3dvjOFWz8fq+hWh0XivkRPrsYkZ4XYBBduzXP8Z/Hr+5qJD00nWkl66zp/nGBy7hSO0etuU/SbOthndTruWeKdsxtnYOkoc/jFryOjTnopW8iRr0U2TPab06p5+fH97e3lRXV5Obm4uqqsjykF9QKwiCIAiCIPQDx9PsHBsvCMLQZTAYWLBgAWvXru22bqYkSSxYsABqftb2CJL3xV2Or7OUsDrlBrTWRhlLx7xMoFv3KbnC0DOkowKrV69G0zQeeOCBdo/feeeduLq68s4773S7/6pVerOEU/dv+7qz/S0WC/fccw+33347U6dO7fPchf6TXrquV/XqgHaBPFkyEuk7l8Wjnz4lfXamw4G8NgbZRGLQMm5IfJcVEzZyQ+K7JAYtY0HU4/ZGGUdrf2Rj1i/t+0iyGcOoZ+xfq7k/R9PUXp1PkiR7I4zm5maKior6NG9BEARBEATh7ONoVobI4hCEc0t4eDgRERFdbndzc2Pp0qWMHBGMVr0FAMl9EpLJr9PxqqbwXupy+/vrKaF3khS8vP8nLgy4Ib0yb8+ePciy3GH1nLOzM+PHj2fPnj097h8aGkpYWFi7x8PCwggJCel0/8cff5zKykr+/ve/k5qaevpPQjhtB0vXOzTexzmcy2KeaE2f9R6YSZ3CIBu5IXE1z+5IosFaxg+FzzPKZxZjh10NgOy3GNVnIVrVZ2j1P6KVvI4UdEevjh0VFcXevXsBPdX21N9nQRAEQRAE4dzkaJqdCOYJwrnFYrFw5MgRQI+DhIeHY7FYMJvNREVFERUVhcFgQK3eAqreV0Dymdfl8b7O+xs5lV8DEOwxjitinx34JyEMiCEdzDt27Bj+/v6dLhcPDQ3lhx9+QFEUDAZDl/uPGdN5W+XQ0NAOq5wyMzN54okn+O9//4ufX+eR7J4UFRV1OG56enqfjiXomm3VDo0f5j6GcUHXDcxkuuHlHMr1Y9/h9X0L0ND4IP0nhHiMx89VX1lnGPU0tn1fgmZFOfwbJL+rkUw+PR43JCQEFxcXmpqayMnJYfbs2T3WihQEQRAEQRDOfo6m2XX1vkgQhLNTeno6VqsVgMmTJ3daJgw40cUWkLqol5dT8TVf5/4ZACeDO8sT12AyuPTzjIUzZUin2TY2NnZZ98HZ2RmApqamPu9/akfcu+++mwkTJnD77bf3ccbwyiuvMHXq1Hb/fvKTn/T5eAI4G70HdHx/ivGfx5xRvwXAYqvl3QPXYlWaAZBcY5BDH9IH2spRC//Uq2PKsmxPta2traWsrKy/py0IgiAIgiAMUeHh4cyYMaPL7W1pduHh4WduUoIgDDhN00hOTgb0wH5CQkKXY9UqvSstBnckj4712essxaxOXY6GflPgmvhXCXCL6fc5C2fOkA7mubq6dtmRqblZD5C4uHQdSe5pf1fXE91aVq5cyXfffccLL7xwWque7rzzTnbt2tXu3+uvv97n4wkwJvBKh8bHBy4ZmIn00iWj/sgon1kAFNXtY2PWw/Zt8ojfgVMIAOqx/6I1pPXqmCenTOTk5PTjbAVBEARBEISh7uQFDCNHjsTNzc3+9TXXXCMCeYJwDiooKKCqqgqA2NjYdvGLk2ktpdCwHwDJay6SbGq3XdUUVqfcSH1LCQDTht8zKJlsQv8a0sG8kJAQysvLOw3IFRUVERQU1O1S8pCQkC4bBhQVFREaGgroeeiPPPIIS5YswcPDg5ycHHJycuz7lpeXk5OT02ElX2dCQ0OZMmVKu3/x8fG9ebpCF+IDl+DhFNSrsR5OQYMezGurn+fuFAjAjiMvcKD4fQAkgzuGiCdbRyoouT/vNmWizYgRIzCZ9D/KIpgnCIIgCIJwfjl8+DCgZxctXbqUOXPm2Lfl5uYO1rQEQRhA+/fvt3+elJTU5Tit+iv7552l2H6V+2dyq/TmGCEeSSwe/VQ/zlIYLEM6mDd58mRUVWX37t3tHm9ubiY5OZlJkyb1uH9RUZG9YGSbI0eOcOzYMfv+TU1NlJeX89FHHxEdHW3/d9NNNwHw2GOPER0dzbZt2/rx2Qm9ZZSduDZhJbLUfYlHWTJybcJKDKfciRgMnuZgbhi7Cgl9ledH6XdS3pANgBRwA5Kn3vlWq9mKVv5Bj8czmUz2O65lZWXU1NQMzMQFQRAEQRCEIaWmpobKykpAX5UnyzIREREYjfq1cVZW1mBOTxCEAVBTU0NeXh4AwcHBDBs2rMux9hRbQD6l+UVW+Wa+yfsbAGajJzeN+wCTwXkAZiycaUM6mHfdddchSRLPPPNMu8dfeeUVGhsbWb78RAvl3NxcMjIy2o274YYbADrs3/Z12/5ubm588MEHHf796U9/AuC2227jgw8+6DYaLgysGP95rEja2OUKPQ+nIFYkbSTGv+vOPWdalN/FXDzqDwBYlDreSVmGVWlCkiQMkc/T9t9PyXsYTem5Q9nJqbbiDqwgCIIgCML5IT8/3/55REQEAE5OTvYbvaWlpeJGryCcYw4cOGD/vNtVeZp2ovmFcwQ4R9q31TYf473Um+x18pbFv25vziic/YZ0N9uxY8dy33338Z///IelS5eycOFCDh06xHPPPcfcuXO57roTed4XX3wxBQUF7VIWFy1axOLFi3nqqaeoqanhggsuYMeOHbz22mvcdtttTJumF4Y0mUxcc801Hc7v7+8PwLhx4zrdLpxZMf7z+M1FhaSXriO9dB3Ntmqcjd7EBy4hPnDJkFiRd6qLI39PfvV2ciq/5njdAT7NfJClY15Cch+HHHw36vEXoOUo6pG/Ywj/W7fHGjVqlP3zXbt2kZ+f36EluSAIgiAIgnBuaUuxBdrVxouJibGXX8nKymLy5MlnemqCIAwAq9VKamoqoPcIiI6O7npwYxpYiwGQvefb6/8rqo1VKdfTYNWbJ04f8XPGDrt6YCcunFFDOpgH+iq68PBw/ve//7Fx40YCAgL4xS9+wZ///OdeNar44IMP+Otf/8o777zD22+/zfDhw/nb3/7Gr371qzMwe6G/GWQTiUHLSAxaNthT6RVZMnD92Hd5dsd46lqK2XX0ZUb5zGJ88A3II/+CWvYe2CpRjz6JPGwFkkvXd0qKi4uRZRlVVWlsbLRf2GVkZODm5saCBQtE8WNBEARBEIRziKIoFBYWAhAYGNiu8cWoUaPs14bZ2dkimCcI54jMzEx7w8/ExER7Sn1nTk6xlU5Ksf0y9w8crv4OgOGek1kU82SHfYWz25BOswW9BfPDDz9MZmYmFouFo0eP8q9//avdCxnoy887ayTg7OzMY489RkFBARaLhdzcXH7729/amwl0Z/bs2WiaxgMPPNBfT0c4D3mYh3FD4iqk1v9uHx28i7KGTCSTH3L4Y/ogrQUl76Euj5Gfn8/atWtRVbXT7Q0NDaxdu7ZdGoYgCIIgCIJwdisqKsJqtQInUmzbmM1m+43c48ePU1dXd6anJwhCP9M0zd74QpIkEhMTux/flmKLAcl7LgAZZZ+z5fDfAXA2erE88X2MsnnA5iwMjiEfzBOEc0Gk7xwuifwTAC1KPe8cWEaL0ogcdCe46TUQtMpPUCs3ddhXURQ2bdrUY9dbTdPYtGkTiqL0+/wFQRAEQRCEM6+rFNs2J6ffZWdnn4kpCYIwgI4fP05paSmg10z39PTscqymNKHV6E06Jc9pSEYvqpuP8H7azfYxy+LfwNc1oqtDCGcxEcwThDNk7qj/I9rvUgCK61P5JON+JMnQ2gxDp+T9Ak1tabdfTk4ODQ09N8gAfYVeW+0UQRAEQRAE4ezWlnVhNpsJCQnpsD0yMhJZ1t/Sia62gnD2a1uVB903vgDQar8DzQKA5D0PRbWyKuV6Gq0VAFw44gEShl01cJMVBpUI5gnCGSJLBq5PeAdPs34htqfoNfYdexvZawZS4E36oKYs1KJn2u3naHBOBPMEQRAEQRDOfnV1dZSXlwMwcuRIe9DuZC4uLoSFhQF6Sm5vbwALgjD0NDQ02IPyfn5+DB8+vNvx2in18r7I+S0F1T8AEOY5hcti/jFwkxUGnQjmCcIZ5G4O5Iaxq+3189YevJuS+kMYIv4JBncA1CN/RbMcs+9jsVgcOoej4wVBEARBEIShp6cU2zYnp9qKm7qCcPZKSUmx10hPSkrqseGn2lYvz+hNRnMJ3+brTS5cjD4sH7cGo+w0oPMVBpcI5gnCGTbK9yLmR/0NAKvayLsHlmGVPZFH/EEfoNSjHD7RbdlsdqxYqaPjBUEQBEEQhKHn5MZm3QXzoqKi7G/6RaqtIJydFEUhJSUFACcnJ+Li4rodr1mOQWMaANXuF7AmbYV927UJK/FxGTlwkxWGBBHME4RBMCvi14z2vwyAkoZ01mX8DDnkF+ASA4BW9i5qzXZAv0BzhKPjBUEQBEEQhKFFURQKCgoACAgIwMPDo8uxbm5uhIaGAnDkyBEaGxvPyBwFQeg/ubm51NfXA5CQkICTU/er6rRqfVWeTYP3qzNoslUBcNHIRxgTePnATlYYEkQwTxAGgSzJXJfwFl5mvQ7C3mNvsvf4KgyjnrWPUXJ/jqYpREVF4ebm1qvjurm5iWCeIAiCIAjCWe748eO0tOhN0bpbldcmJqb1hrCmkZubO5BTEwRhAJzc+GLcuHE9jm9Lsf3SBkea9JT8kd7TWRD9+MBMUBhyRDBPEAaJm5M/Nya+hywZAFh36F5KTcORfK/QBzQkoxa/gsFgYMGCBT3WTJAkiQULFmAwGAZ66oIgCIIgCMIAOrleXkRERI/jT76Zm52dPSBzEgRhYJSVlXH06FFAb3bj6+vbYYxNbeFA8RpWpyzn9X0Lef/YWja1wPc2fburyY8bE9/DIJvO5NSFQSSCeYIwiMJ9ZjA/Sr97YlWbeCdlGbaRfwNJr3un5v8WzVpBeHg4S5cu7XaF3pw5c3p151YQBEEQBEEY2trq5ZlMJkJCQnoc7+HhYR9XUFBAc3PzQE5PEIR+lJycbP88KSmpw/as8s08sW0kq1KuI7l4FZnln5Nis7BdOTHmuoS38XYOOwOzFYYKEcwThEF2UfgjxPovAqCsIYN1h/+JFPqIvtFWiVrwe0BPsbjzzjtZvHgxsbGxREREEBZ24g/2kSNHzvjcBUEQBEEQhP7V0NBAaWkpoK/S6W3WRVtXW1VVycvLG7D5CYLQf5qbmzl48CAAnp6eHVbiZpVv5o39i6hrKe7yGBKyPdtLOH+IYJ4gDDJZkrk2YSVerXdS9h9/h33GUDDrX6vHX0arTwbAYDAwevRoFi1axNKlS1m2bBmBgYGAnlJRUVExKM9BEARBEARB6B+97WJ7qrZgHoiutoJwtkhPT8dm03Nlx48fjyyfCNHY1BbWpN2Kqtm6PYaGypq0W1FU64DOVRhaRDBPEIYANyc/lieuQZaMAKzPfIjSoPtbt6qtzTC0DvtJksTUqVPtX+/evftMTHfQKIpCZmYmGzduZO3atWzcuJHMzEwURel5Z0EQBEEQhLNAV/XyTq6Z9ca+RaxOWc6B4jXYVL1RhpeXF8OGDQP0gGBbAw1BEIYmTdPsKbZGo5GEhIR229NL13W7Iu9kdS3FpJeu6+cZCkOZcbAnIAiCbqT3NC6L/gcbsx7GpjazqvAV7vWYiVPdd2i129HKViEFLu+wX3R0NL6+vlRWVnLo0CGmT5+Ol5fXIDyDgZWfn8+mTZtoaGho93hGRgZubm4sWLBA1AwcYIqikJOTQ05ODhaLBbPZTFRUFFFRUaLxinBGiN9BQRDOdaqqUlBQAICfnx+enp6Anmq3Ju3WDm/sk4tX4eEUxLUJK4nxn0d0dDQlJSUoikJeXh6xsbFn/DkIgtA7+fn5VFdXAxAbG4uLi0u77QdLP3boeOmla0kMWtZf0xOGOBHME4QhZObIBzlctY2DZespb8xivWsk12gykqSiHP4lku8VSEaPdvtIksSUKVPYtGkTmqaxZ88eLrnkkkF6BgMjPz+ftWvXdro6EfTaMmvXrmXp0qUioDdARDBVGGzid1AQhPNBcXGxvXlF29+0tppZXaXa1bUU88b+RaxI2khMzGS2b98O6CVYRDBPEIaukxtfjB8/vsP2psZMh47n6Hjh7CbSbAVhCJEkiWUJb+DjPBKAA+Wf86P7LH1jy3HUI491ul9sbKz9zm1aWhr19fVnZL5ngqIo9kBldzRNY9OmTSLldgC0BVNPDaK0aQumnlzjRxD6k/gdFAThfHFqim1va2apmo01abfi6eVOQEAAAHl5eVitooaWIAxF1dXV9kY1ISEh9hT5kznbKh06pqPjhbObCOYJwhDjavJh+bg1GCQTABsrf+CY7A2AevTfKEefwZaxHFvaImwZy1HL1iBLCpMnTwb04NePP/44WNPvdzk5OV2+gT9VQ0MDOTk5Azyj88vJwVRNstHslUxN2LtUj3yVmrB3afZKRpNsIpgqDBgR0BcE4XzSdlPCaDQSGhrap5pZbY0wbDabuMkhCEPUgQMH7J93tioPIMrkWOmkOLPv6UxJOMuIYJ4gDEFhXlNYGPMkADbVwvtWJ5o1ABvq4QfRylahVX2GVrYKJeM6bLtHEh96DFdXVwBSUlJoamoavCfQjxwNzmVmiuXl/aktmGpxz6Ri9GPUjngHi/d+WjwzsHjvp3bEO1SMfgyLe6YIpgoDQgT0BUE4XzQ2NlJcrAfuRowYgdFo5GDpeoeOkV66jpiYGPvXoqvtuaOnBijC2cNqtZKWlgaAq6tru/+zbWqai/i+obDXx3QHxriP7q8pCmcBUTNPEIaoGSPu53DVNtJK11LRUso6A1xnAknqZLC1GDKvZE7SU2z8Xn+B2L9/P9OnTz/j8+5vFovFofHZ2dmsXr2aiIgIIiIiCAwMROr0myb0Rk5ODhb3TGrCXwPUTseoxjpqwl/DK/92cnJiGT1aXEgI/efk4Jwm2bB4pmHxTEeTm5BUF8y18ZhrE5A0o328+B0UBOFs1Nb4Ak7Uy2u2VTt0jGZbNX5+fvbmaHl5edhsNozGs/9tn01tIb10HQdL19Nsq8bZ6M2YwCuJD1yCUXYa7OkNqN42QBHODhkZGfbamImJiR2aeB2rO8Ab+xZR28v//zJwtROY/Jf280yFoezs/6suCOcoSZK4Jv41jtXto7IpnzQFRkrgLsEhFZo1cJYgToY4AxixMYrHcTE/SpPFxv79+5k0aRJOTmf3xY3ZbHZ4n2PHjnHs2DG+//573NzcCA8PJyIigpEjR+Ls7DwAszx3NVnqqRv+HqBCVzFRCdBU6oa/R5Pl3Gq+Igy+toC+xT2TuuHvoZrq2m/33o9s9cDj6PWY60c7fANAEARhqDi1Xh6As9HboWO0jY+JiWHnzp20tLRQUFBAZGRkf01zUJzPwSyHGqCco9+Dc4mmaezfvx/Q3+8lJia2255R9jnvplxLi6LXQA8zmJguW9lohc6qorujB/KinYOQ/JYM7OSFIUWk2QrCEOZi8ubGET+l7V7NRhu8b4UUBbJU/eP7VvhXM2QrIFmLmT2+FoDm5uZ2tRjOVlFRUQ6N9/f3b3d3q6GhgfT0dDZs2MALL7zA6tWr2blzJyUlJT3W4BKg3nm/HjzpaXGjBKqpjnrn/WdkXsL5w2w221eHqsa6Tse0rQ61uGf26QaAIAjCYNM0zV7fzsfHB29vbwDGBF7p0HFCPCcA2OvmgZ61cDZrC2Z1VTuwLZiVVb75DM9s4DnaAEVRRcOToe7YsWOUlZUB+v9TDw8P+7adR15mZfLl9kDe2GHLuD14KWON8EtnuN4JEg0QI+sfr3fSH482GjGMXokkmwblOQmDQ6zME4QhLrgplUkG2NVNTfd64O0WuNkJIgPSMZmmY7Va+fHHH0lKSjqrUyuioqJwc3PrVc0sNzc3brrpJlRVpbCwkMOHD5Ofn09NTQ2gXyifvGrP1dXVno7bm1V7iqKQk5Ojp55aLJjNZqKiooiKiuqwPP5cYfFMh0ZHxqcN3GSE81JE5Ai20/vVoaMi7z+DsxMEQegfJSUl9nrHbSm2APGBS3A1+dNoLe/Vcb7I/j+MshMXDL8Pb29vqquryc3NRVGUs/JaxdFg1m8uKsRwDgU0+tIAJTFo2QDPSjgdbavyAJKSkgBQNZVN2b/h2/x/2rfNDv81l/rPRktfCIBBkkgwaCSc+t/YFIRh9EpkH7Eq83xz9r7DF4TzhM1aSXovmjOqwEct8Cu1hsTERPbu3UtjYyNpaWlddkg6GxgMBuLj49m9ezeyZCPSJ40I73TMxiYsNhcOV8eTW5WAhokFCxZgMBgwGAxERkYSGRmJpmlUVVVx+PBhDh8+zNGjR+3dLhsbG0lPTyc9PR1JkggODu6y1l5+fj6bv9hAkNMu/fymJiwtLmT+EM+3W6cyb/7idhff54omW4VD400uopOo0L8snukdUms71bo61OKZDiQM+LwEQRD6U2cptgAGyYSHU2AvgnkSoKFoLXyScT9Z5ZsYEXUX1T9W09zczJEjR87K65TzPZjVlwYo59LzP9fU19fbV8r6+/sTGhqKVWni/bRbSC35EABZMrAk7gWmBCzCtm88oGcSyaNXIUkG1Ip1YKsGozey3xIkvyViRd55SgTzBGGIO9RS12l9hM7UAwet9UyaNInk5GQURWHPnj2MHTv2rLwbC9DS0sLBgwcZ4ZnJpaPew82p/Zv6WP/9NFo9aQx5nuBOLlIlScLX1xdfX18mTpyI1Wp1aNVeeHg4sixzYNu/uTpyFQWGelJOrlnovZ8Zyjq++SoVLvnNWXmhfCpN0yis2cWGfX/juHVnzym2J3Ex+QzcxITzUkb5pw6NP1T+CeNDrhug2QiCIAyMtmCe0Whk+PDh9seTi1dT0nAQAIPkhKJ17Fzq4RTEsoQ3qWjMZmPWI9hUCxnln1Fo3IPJ/UrM9bFkZ2efldco53swqy8NUIShKzU1FVXVG8olJSXRYC1n5f4rKKzZCYDZ4MHycWuI8bsEJWUO2PQgvhxyP4bA6/XPA86d32/h9IhgniAMcYc6byDa9XgFktzdSUhI4MCBA9TW1pKRkUF8fPzATHCA7dixA195L1eMfg1FU0m1ddIAxFiLa/ntqFVBPS4xN5lMDq/aG+GZyZioV3nBqlF/ys8jRQF36lka+Qqp35kJC3v6rA2cWmx17D/+LjuPvMzx+mT9QQcbAccHLunvaQnnOfFGRhCEc11TUxPFxfrqs+HDh2My6atsLLZ6Psv6JaCv1rlvyk4qmnJIL11n7+YaH7iE+MAlraml84nwmcXqlBsoaUin0VYGEa/iUn4RWdlGLr74YmT57CqZfr6/BvS1AYow9CiKYq9nbjab8R8p899d06hsygPAyzycFRM2EuyRiHL4UbTa7QBI7pORI54ctHkLQ5cI5gnCENcse/Q8qJPxkydPJiUlBU3T2LVrF3FxcWfdBVxFRQXJ+3dz69j3yFVUPuqki1OKAu5WuNrJRnTmrUhTCnu91Lw3q/ZkyUZkxDu8Y9XoKq5aD7xj1VgW/Co52XcxOvbsSvErqt3HzqMvk3z8XVqU9rUJ5RY/DOZmrFrPNQs9nIJEME/od+KNjCAI57qCggJ7U66TU2y3HH6cWssxAC4Iu49QryRCvZK6XXkW7DGWn0/bw2dZv+KHI/8BoMl/G8fcckjNG8u4qLkD+Ez6V3ljDiX1Bx3a51x7DRjtfxnJxat6PV5chw1dOTk59hrgwXE2/rf3IppsVQCEeIzntqQNeDmHolZsQD36D30nozeGuDVIstNgTVsYwkQwTxCGOBeTr2M7qHoaqpeXF3FxcRw8eJCqqipycnKIiYkZgBkODE3T+Prrr4nwSuGYoY63W+g2mPZ2C9xMMaMPP4zkMbVP5zQAER4QkQjaWGcaGhTyD61hvdrU5bnbqMBGtYn5BW9B7D97GD34WmwNJBevZtfRlzla+2P7jZqMuSYB78bZ3DD/19SZ0nhj/6Ieik9LLEt485wqOi0MDWMCrxRvZARBOKe1dbGFE80vyhtz2Jb/bwBcTX5cEvknNLUFrWIdasX6k2pmXdlaM+vEm32TwYUr454nxn8+76XcSrNSic3lGO/lLaTJ/CxTh9/Vri7wUFPVVMDXeX9j77E3UDXHavGeS68BFlsde4pe6/V4N1PAOfX8zzVtjS+avfexV/3QnjIf67+QGxPfw2z0QGsuQMm6xb6PIWYlknP4YExXOAuIYJ4gDHGOvpHNrNrOG3tmMzf6CaZMmcLBg/odzV27dhEdHT2kL95OlpmZyZEjR7h4VCofdRPIa9PWAOSXRc9jkJ7vlzm4ADZXqLf2bnw9UCt9CgzdYN7xuhR2HX2ZfcffwWKrbbfNaPXDXDEF56rJBHiGs3TpUry8vAgmhBVJG1mTdms3Rag1LLZeNCkQBAfFBy5B1pxQpY51otrRwMMsVocKgnB20TTNXi/Py8sLHx+99uzGzIftb/YXRD+Oc/0ebJm3grX967BStqrLbpZxAYt5aEYqT226hGbXQ6hY+PjQ3WRVbOLqMa/i5uR3Bp5h79U2H+Obw4+x++grKNqJiy9ZMvQqqGeSXYj1XzyQUzxjGlrKeX3fZR1vuHZDQqahpQxP55ABnJnQF6WlpRwtOkpj4Fc0DPuiracFF4Tdy+Wjn8UgG9HUFpSM66B1tZ4c+giy3xWDOGthqBPBPEEY4uIDl+DhFNTrTl4AGVXfkrH7AiJ95xIweg6lmc6UlpaSn5/fLn1jqGppaeHbb78FoMSp3KEGIJttECqBgv5Pbfuoge3kr1s/KtpJn580tu3z4w7WLCyUSh3b4QywKk2kFK9h59GXKazZ0W6bLBkIc5lDXUYkhppIJGTCwsK44oorcHZ2to+L8Z/Hby4qJL10XbtaPYUHm6j0+Rgk+DTzAUb7z8dsdCw1XBC688Phl08E8jS6qeMocdXoV8TqUEEQziqlpaU0NjYC+qo8SZLILN/EwbJPAAjxSGKiaxhK+iLoaoW8tVjfHr+xQ0DPyzmEme7PsqPoeeqHfQayQnrpOo7U7Oa6hLeJ8hv8tNt6Sylb8p9g55EXsanN9sd9XUZxaeSfcHXyZ+X+K3rIEACr2sSqlGu5MfE9nIxuAz3tAVPdfIRX986jrCEDAD+XSC4e9Qc+z/51p+8H2hqj1FtLeHXvPO6esg1XRzN7hAG1L3kPdaHv0+yrB2clJBbG/IuZIx+0L7RQD/8arW6Xvt1zOnL444M2X+HsIIJ5gjDEGWUnrk1Y2WOaoywZme0RQ1bdQY623u3JrfwGnL7BOGokbmUXs3NXyFkRzNuxYwf19XoIr8hs63lZ3km+7/46b8DlqdW8+sNVRAVPY5h7AkHuCXg7j+iXFZE2tYX00nUcLF1vD6aNCbyS+MAlGDuppVFSf1BfhXfsLZpOKQjt5RzGlNA7MVdMYvd3B+0vBmPGjGHevHmdNvEwyCYSg5a1q9WztXIrW4+X0OT3A7WWIr7K/QuLRosivUL/OFy1nc9zH9K/0CScZE9atJrOB6tO1Be7QfCZm58gCMLpOjnFNiIiApvawqcZD9gfu2L0U2hZN3QdyGuj2VC6qB0cEzOaAwdmYaqPoiX6Qxo4Qq3lGK/uvYRZ4b/i0qi/dHodMdAarZV8m/8k3xc8h1VttD/u5RzGJaP+wMSQW+03aLrLEHA1+aGoLViUOg6Vb+B/P87ltgkbcHcKOGPPpb+UNmTw6t551DQfASDYYxy3T/gCD/Mwxgff0OGmanzgEqJ9L+X1/QsprNlBSUM6b+xbxB0Tv8RsdB/kZyMAVNUX833Dg7T4ZgNglJ25Yey7JAxbah+jlq9FPfaM/oXRD0Ps+72uAS6cv0QwTxDOAjH+87q9iPFwCuLahJVE+85hbsaN5JZ+yFYbHG4NgtncCqhxe520pk1sOVjDrLg7kaWh2XG1vLycffv2AWD2sFFlBHrIrhsIsmTEIJlQ1BZUel+vxSqpZNevIzt7nf0xs8GDQPcxBLkn2AN8w9zj8XAK6nWQL6t8c6c//+TiVfaff4z/PKxKM2mlH7HryMscrv6u3VgJmVj/hUwN+ynRvvPZ9u137G6t3wEwffp0pk2b5lDgMSYmhj37F9DsmYJmqmd74dNMDLmVII+zqwmIMPRUNx/hnQNXo6K/gfUovooHrnmDvLov2r2RaWypIatyIxgsfH3010wZv+usKScgCILQlmJrMBgYMWIEPxQ+R1ljJgBJwcsZqZSiWHuZnWEtRqtYhxTQvkHG8OHDcXFxgaZQvAt+ScD0VHYXvYKGxtb8f5Bd+RU3jF1FgNuZqa3cZK1he8HTfFf4dLuSHx7mYOZG/JYpw+/AKJvb7dNVhkBbN9+Kplxe37uAquYCjtTu5oXd07l9wib8XCPPyHPqD0drfuT1fZfRYC0HIMJ7JrcmfYKLyRvo/KZqmxUTNvDynlkU16dRWLOTtw8s5bakTzt8H4Uzq7Ipnxd3zaXFTf9/bpZ8uWPSZ4zwPlHfW2vKRcla0fqVhGH0O0jm4YMwW+FsI2ltrZOEAbN7926mTp3Krl27mDJlymBPRziLKaq1y4uYtjuXmmZDyViOVr6GQgW2KiaylPZF3wLcYpkT8RvGB90wpFLSNE3j3Q9f5nDDF1g8U7C6H8ZeVKKXRnpdwMzwhzFIJmTJhEE2YZCcWj+akFs/GmQn/WMnj8mS0R4MOHB8FatSl/f6/JLNGc3Y3PNAwNXkeyK45xbPsNYg36k1bLLKN/e4MlPCQHzgEvKqttJorWi3zdMcwuTQO5gcejs+LiOwWq1s2LCBvLw8AGRZZt68ecTHx/f6ebbRNI1XXnmFUsNW6sJWA/rF508nfysCKkKfWZUmXtwzk6LavQA4V04lyeVRlly5pJOxzTz2ZTRN8lEAFoe/wsyYO87kdAVBEPqkubmZF154AU3TGDFiBAuumMmT22OwKHU4Gdx4ZEYmbvm/Qivrfe1kKeBGjLHvdnh88+bNpKamArB8+XLKpR/4MP0OezdNJ4MbV8Q+z6SQ2wbs9dtiq+eHwuf5Nv9J+3lBb9wwO+JRLgi7B5PBpc/Hr7Uc5419izhWt99+3BUTNhLmNfm05z7Qciq+YWXylbQoemZKnP9ilo9b49D3o9ZynBd3z6CySQ8cjR22jBsTVw/ZG/iOcjRDZbAdqdnDm/svp76lBACjJZD7LtxKiE+cfYymNmM7MAPq9YUMcthvMYT/bVDmKwyevsaLxMo8QTiLdHdHro0kGTHEvouSKTOi7D1uMVg5JnnyQc0IyozpIGmUNWSwJu1Wvsz5I7Mjfs3EkNswGZy7POZAq2oqIK10LbsPv02p137w6vuxLhz5IGOHXd1vc4sfdg0eGT+nzlrZ41h34H7/iXyUsYSSxjxs5mIU52JkzyoU52Kalep24xutlRyu2sbhqm3tHvdwCrIH+QLcYvki57c91onRUEgr/cj+tYREtN98poX9lFj/xRhk/c99fX0969ato6REv7Awm81ceeWVhIWF9eK70ZEkScTExFC7t5Zmn11Y3fM4XP0d+46/zcSQW3o+gCCcQtM0Pjp4lz2QZ2wYicexq4i/vPNgs8ngzPwRz7DuyDKQNL7If4SkkVfgbg48k9MWBEFwWGFhIW3rKiIiIvg8+zdYFL2Z1NyI3+LlHIrtlDIZPepifExMjD2Yl5WVxUUXLWW41xTeT72ZvKqttCgNfJj+E7LKN3HVmJdwNfn09Wl1YFWa2HHkRbYefoIGa5n9cRejD7PCf8n0ET/vVUqooijk5OSQk5ODxWLBbDYTFRVFVFQUBoMBT3Mwd0/+lrcPXEN2xWYarGW8vGc2y8etIS5gUb89n/6WVvIxq1Kutzc8SQq+iWXxrzt8w93THMwdE7/kxd0XUtdSTGrJB3x80JulY14+62+w9jZDZahIL13H6pQbsapNAJjqI7nA/R/tAnkAat5D9kCe5DUbeeSfzvRUhbOYCOYJwjlIkowYRr+NgoRWtpoQrZafex3hrYybOeqRTrP3fpBUqprz+fjQPXyV9xcuGvkI04b/9IwVDK5ozCW15CNSSz7kaO2eDttlIEKGOBm2aK40KI0dD3IKD6f+72RplJ24duxq3ti3sNt0Wxm42glcLd9z8zgn9jX8jh27U1AqFTgGskFm3KRIQmKcKGs6REl9OsX1aZTUp9vvwrapaymmrrKYnMqvHJ6vs9GLC8LuZUronfi6tq+PWF5eztq1a6mr098oeHp6snTpUvz8Tq+b3ejRo9m7dy8ex5ZSFfM0GgobMx8hLuDyfn0zIJwfvit4iv3H3wHAYPPGq/BWXMzu3db7nBp7FVvSLqHG+0us1PDxwXu5OenDMzVlQRCEPmlLsQVwDqxib8abgN7w4MKRD+objN6OHbSL8WFhYTg7O9Pc3Ex2djYzZ87E23k4d076im/zn2Rzzu9RNRspJWsoqNnBDWPfJcJnpuNP6iQ21cLuo6/wzeHHqbMctz9uNnoyc8SDXDjyQVxMvbuDm5+fz6ZNm2hoaGj3eEZGBm5ubixYsIDw8HDMRg9WJG3gw/Q72Hf8LaxqI28lX8lVcS8xZfjQW7W9p+h1Pkq/E621QPSMEb9g8einkCW5T8fzc43k9olf8PKeWTTZqtld9AquTn5cFv33/pz2GdVThkpdSzFv7F/EiqSNgx7Q0zSN7YXPsjHzIbTW7CLnqol4FC1j8k3t/z+ppatRj7+of2EahiF2FZIkwjNC7/Xtr4QgCEOeHtB7CyngRgBkrYYboj4isnImfpm/Zpz/rRgkfUl6neU4G7Me5onvwvkm7zGarNUDMqeyhky+yXuMZ3ck8c/tUXye/ev2gTxNZoTmzFUmeNQZVjg7MSN+JdeP+xi5hxc3WTJybcLKAUkbjvGfx4oJn+HhFNTpdg+nIG5LeJNo1xH6A7VbmOj+F25efhWhoaEAqIrK/l3Z7Nh4nAjDMq6Jf5WfTd3Jn+fW8OjMfG5L2sBl0U+QFHwTIR5Jfa5xMtr/MhZEP94hkFdQUMDq1avtgbygoCBuvPHG0w7ktR3Lw8MDoyUIj6o5ADRYy/gi+7enfWzh/JJVvpnPsn4FgEEy45l/CwabJzExMRiNXf8NkGWZGcG/xtCsr8ZLK/uIlOIPzsicBUEQ+kLTNHvzC3cPN7Ye+5192+LRT9szJmS/Kx06rmQO7/Rxg8FAZKReP666upqyMn2FnCwZmBPxKPdO+R4/F317TfMRXt4zm805f0BRHe8spqhWdh19hX9uj2Z9xs/tgTyT7MqciN/w6MzDXBr1J4cCeWvXru0QyGvT0NDA2rVr7d9Pg2zi2oQ3mRuhX4eomsJHB+/ky5w/MZQqTH17+Ek+TL/dHsibF/VXLh/9dJ8DeW2CPRK5bcJGTLKeorv18BN8e/jsbE5mU1tYk3ZrjxkqqmZjTdqtKKq123EDSdUUPsm4nw2ZD9oDeW4l8/A4ej2hwSMIDDyRMaA1ZqLk3NX6lYwhdjWSk+jgJThG1Mw7A0TNPGEwaZqCknkrWpleP6XZ5sK6zLvwHzmf6XMS2Vbwb3Ydecm+DBz0O6bTw37GhSMfaNcJzNFaFZqmUVKfTmrJh6SWfEhJQ3qHMUbZTLjHHCw5GlcP24G/ubUQsikIw5iPkT2nAV0vrwfO2PL6nmoWas352FLmgCUfAMlzJvKYDaQdymfbtm1YLBb7sRITE5k5cybOzp2nN6uaQkVjLqtTbqCobl+v5xjrv5AVEza2eywtLY0vv/wSVdUvFqOioli4cCEmU/8FPrdu3crevXtRZQtN4/5Dg+04EhL3Td11VtSqEQZfeWMO/9k52d55OU57hIo0PYB+/fXX2wPjXamurualVX+gKvI/IGm4mfx5aHq6SLcVBGFIKisr46233gLAf2wxB/kXADF+C/jJhM/saZGa2oJthx+o9V0e61Ry0N3Io55EMrRPXc3NzWXdunUATJs2jRkzZrTbbrHVsT7j5+w9ttL+2AivC7hh7Lv4ukb0eB2oagr7j7/LV7l/prIpz34Mo+zMBWH3Mjv81w7/TVYUhVdeeaXLQN7J3NzcuPPOOzEYTtSI23nkJdYdus8eMJsU+hOWxr00qDWjNU3j8+xH+Tb/n4BeGuXKuP9yQdg9/XqezPJNrNx/BYqmB7iuHvMqU4bf3q/nGGgHitewKuW6Xo9fnrim23JEA8Viq2d1yg0cKt8AgEEyES8/QnGyftN80aJFxMbGAqApjdiSp0GjnvYuj/wLhhG/P+NzFoaOvsaLRDDvDBDBPGGwaZqCkrUCrfRtQA/orc/8KZff8Ce8vLyobylje8Ez/HDkP+26iplkV6aG/ZRZIx+huD6tV8E0TdM4VpdMasmHpJV8ZO/IdjKT7MJo/4WMHXYNsf4L2ff570jyehGjrN91k9wnYRizDsnc/s17bxqADDatuRBb6hxo1i9iJc/pGOI/p6FZZsuWLWRlZdnHurm5MXfuXKKjo7usZbI6ZTnJxb0vfD0+6EZuSNQDt5qm8cMPP7Bz50779okTJ3LRRRchy/27MPv48eOsWqXPc9jYalLRi/cO95zEfVN3njPFl4WBYbHV8Z9d0yhtOAjA9OG/oPDrSFpaWvDy8uL222/vVb2fDz74gIMtL9AYsBXQi3/fNG7NQE5dEAShT/bs2cO2bdtQ5SYaEp+lSSlHlow8OD2VQLdY+zitfh+2/ZOhNRjVNYl2TcOcIzGMfgvZc7r9IZvNxosvvkhLSwu+vr6sWLGi42GA5OPv8fGhu2m21QBgNngwLexe9h1b2eV14KTQFaSVfkxZQ4b9cYNkYsrwu5gb8X94Oof0+D3pTGZmJhs2bOj1+MWLFzN69Oh2jx0s/YRVKdfbb1yP9r+M5YlrelWnr78pqo2PD93NnqLXAP17dN3YtxkX1PuAlSMOFL/P6pQb0NCQkFk+bk2/1pYeaI5eB7sYfYkNuIxAtzgC3GIJdIvDzzWqXxpkdBXMHuE5hbcPXG2/+e5i9OaGhA/4ck0GFoulQ5DZlnU7WsnrAEje8zAkfI50mqsxhbObCOYNYSKYJwwFekDvJ2il+l1gi82ZdPVfTL34PvuYJms1O478l+8Knm7XEVXG2Fovrus/FxIGEoZdRVHtvnZ3Y9s4GdyJC1jM2GHXMNpvAU5GNzRNoWzv3fg0vXriOAE3Yoh+Fek0upkNNs1yVF+h15wDgOQxFUPCF0hGL3Jzc/nqq6+orz9xhz0yMpK5c+fi6enZ4Vh9vSNps9nYvHkzhw4d0ucgScyZM4ekpKTTfHada+tqW1dXh9nZjMu0DWRVfAHAkrgX+v1u82A52zqpnQ1UTeWdA1eTXroOgCjfS7jQ/Rk+27gJ6Hz1SFcOHTrExs/XUxn1FIqznkI2WHfpBUEQurNmzRqOHDlCffAGGv23AjBz5MMsHv0v+xhNbcGWPBkaUvQHDF6g1HQ8mCkIw+iVgIaS9RNoOda6QUYe/ivkkX9Gan2N2rhxIxkZesDttttu67LcRlVTAe+lLie/+nuHn5ssGZgYsoKLR/0OH5eRDu9/spPn2xuxsbEsWtSx2UVB9U7e3L/Yfn0b6jmRFUkb8TAPO635OcKqNPNe6nLSStcC+k3zm8evZbT//AE9784jL/PxobsBMEhOrJiwkWi/Swb0nP3l9b0Lyaz4/LSOIUsGfF1GtQvw6R9jcTF59+oY3WUIScj2lZ++LhHclrSRkjwrX375JQAXXHAB06frQXW15E2UrNYgulMoxqT9SCdlQQnnJ9HNVhCEbkmSAUPM69g0oOwtzMZm4pVHaCiJx23YbABcTN7MHfVbLhzxALuK/se3+U9SZzmOSs/1UjQUUkvaF5x3NnoxJuAKxg67hmi/ee065mq2WqyHrsenSX+B1jSJ5sDf4TH6z2d9xy3JPBxj4lZsqXOhKQutbhdK6qUYxm4mMjKSsLAwtm/fzv79+wE97aWwsJCZM2cybty4dqvm4gOX4OEU1OnFw6naGoA0NTXxySefcPToUQCMRiOLFy+218oZCG1dbffu3Yul2cJMj0fJq9qKTbXwRfb/MTbw6rM+3fFs66R2tvg69y/2QJ6vyyhuTHyPzRtPdHgeM2ZMr48VHR2NyzceeB693p5uu+7QvYzynd2uZIAgCMJgamlpoaioCJu5lEa/7wBwdxrGJZF/aDdOPfJ3eyBP8l2EHLsWKtejVqzTu9YavZH9liD5LUFqzVCQJqSh5P4MrWwVoKIefQK16nOMo99GchtLTEyMPTiWlZXFBRdc0OkcfVxGctekrXyd9xe+zvtrr59bUtBNXBr1J/xc++ea4+QSJaczfqT3NO6d8gOv71tAZdNhimr38sLu6fxkwucEuMX0x1S7n5etjpXJS8it/AbQO/mumPAZI72n9foYPXXz7cq0sJ/SaK3gi5zfomgtvJW8hDsnfs0I76mn/bwGkqZpVNX3fP17MgNmFNr/DqiaQnljNuWN2VD2SbttHk5B9gBfoFssAe76Ry/zcPv7kZ4acLQF8gJcR3P35G24OQXwRbKeDSXLMomJifq4hjSUnHvtMzXEvicCecJpEcE8QTiPSJIB4+jXKauqxsf2CWZDM7bMxaguXyN7nnhBdzK6MXPkg0wbfg/rM37OnqJXuzlqe04GdxKDrmVs4DVE+V3ceS29pmxs6VciNemrxloUM1naH0iK/b/Tf5JDhGQO1QN6KXOhKQOtfg9K6iUYEjbj5OTL3LlziYuL48svv6SsrAyr1co333zDoUOHuPTSSwkI0F/cjbIT1yas7PYiAk40AKmr1YtAV1VVAXoq71VXXcWwYQN/57mtqy1ASX4Ls0c9yld5f6bJVs1n2b/i2oQ3B3wOA+Vs6qR2Nkkr+Ziv8v4MgJPBjVvHr0eyudiLmAcHB+Pj0/uOyEajkbi4OPbvb8a1/CIaA76lwVrOukP3iXRbQRCGjMLCQhRVoT54PUgKAJdFP4Gz8cQKfa3+AOoRvWQFBi8MUS8jGZwgYBlyQNerjSWTD8bYd1H9rkTJuQdsldBwANv+Scgj/0r4yPsxGo3YbDays7O7DOYBGGQjw9wTHHpuYwKv6LdAHoDZ7FhDsO7GB7jFcO+UHbyxfxFFtXupbMrjhd3TuS1pg0NBNUfVt5Txxr6FHK39EQAPczB3TNhMkEfvv7e97ebblTkRv6HRWsF3BU/RojTwxv6F/HTyNoLc4/v0nAZareU4Hx+8h1LLfof2i7E9yLWX/oqyhkxKGw5R1pBh/1jRmGsPvLWpaymmrqWYvKqt7R53MrgR4BaLv2s0h8o29NiAA6DJVoOLyYeioiJ7g5no6Gjc3d3RlHpsh5ZBa6q3HP44steFDj03QTiVSM4WhPOMJBnwmbiGzCr94s0oNWBLvRS1dmeHsSaDM1al0aHjxwUsZln8a8QGXNZpIE+t+hJb8hRoDeRVN/vzSd6viLvgoT48m6FNcgrGmLgVXPWVRVr9XmypF6O1pngEBwezfPlyZs6cae/Uefz4cd555x2+++47rFa9YHGM/zw9FaSbbrorkjbi3pLAqlWr7IE8Pz8/brzxxjMSyAO9q21bqnB2djYzRzxi74y399hK8iq3dbf7kHU2dVI7mxTXpfF+2s32r69LeIsgjwQyMjLszVocWZXXZuzYsQC4lSzARdXrbqaWfCC62/YDm9rCgeI1rE5Zzhv7FrE6ZTkHitdgU1sGe2qCcFY5fPgwLR4HafHQ6wqHeU5hQsgt9u2aasWWtQJaX3cMo57uUEe4J3LAtRgnpCL5XNZ60BbU/F8jHbqU+ChXQG/C0XbN0JWDpesdOm/bSuv+EhUV1a/jPczD+OmkrYz2178vjdYKXvlxLgdLP+l2v76qairkpd0z7YE8P9co7p38vcOBPEe6+XZGkiQWxfyLSSF6imejtZLX9s6jsqnrfQaDpmn8WPQmT30/hoNljv3uuSHh0TwWV5MPI72nMTl0BQtj/sFtSZ/wywuz+NsljTw4PY2bxn3IvKi/khS8nFCPCZhk1w7HalEaKKrdy4Hi92hRetd8pr6lmPTSdSQnJ9sfGz9+PJqmoWT/FJr0FbGS72Lk4Y849NwEoTMimCcI5yGTk5nGYU+RXqrn5EtqHUraPNTaHR3GNrd2luytkxtonEzTNJSi51DSLtNTQ4DCmhjeT7+fcdOu77Kr69lOchqGcewWcNUDDDQkY0udi9ai37EzGAxMmTKFW265hREjRgCgqiq7d+/mrbfeorCwENADer+acZg5/s8QoM7C2zaBAHUWc/yf4VczDkNlOB988AFNTfodvxEjRnDDDTd0WodvwJ5ra6otQHNzM8XHyrki9nn79nWH7j0rA13ppet6leYM+h3e/n4jcy5qtFayMvlKWhT9jcnFo/5AwrClAPY6j7Isdyhi3hsBAQEMGzYMSTPhkn81elF4WHfoPupb/98Jjssq38wT20ayKuU6kotXkVH+GcnFq1iVch1PbBtJVvnmwZ6iIJwVNE0jLz+buuATwaMrYp9DPqkAvnr0n9Cgr0iSfOYjDbutT+eSzCEY4jciR70ErQELrXY7Mz0fID5gJ6CRnZ3d7TEcvQ50dHxPoqKicHXtGGzpjJubW6+Cf2ajO7eOX28PbFnVJt5KvoqdR14+rbmeqrQhgxd3z7A3gwvxGM89k7fj6xrR62MoisKmTZvoqcy9pmls2rQJRVG6HCNJEkvH/I/4wCUA1FqO8ereS6mzlPR6PgOpqqmQ1/ddxgfpK+yd7T01fxaZeg5ayMA1Thoj3VK7HGOUzQS5xzN22NVcPOp3XD/2He6/YC9/ubiO31xUyO0TvuCK0c8ybfjdjPKZ3eVN9O4cOPah/f9UQEAAoaGhaMWvtKa9A+YRGGJWioYXQr8Qv0WCcJ4aNz6J7ceXk1baml6rtAX0fmg3ztno7dBxOxuvqRaU7DtQ834B6BcZ+4tnsj7zdvyDoomLi+vDMzh7SE6BGBO/Abdx+gMNKa0BvVL7GB8fH6655hoWLFhgD2xWV1fzwQcfsGnTJjIzM3n9tTdJ32JDSr8cp0M3IqVfTvoWGy+/9AqffvopNpt+Bz8+Pp6lS5c6nJrSH9qCeaDX4okNuIyEQL1rWklDOt8XPnfG53S6BntVwrlGUW2sSrne3ihnTMCVXBL5RwAqKyspLtYDpxEREbi49K0RTtvqPGPDCKLNNwLQYC1j/aGfne70z0ttaeZdBbXb0sxFQE8QelZZWUmJeQOqWV+lPzHktna1y7SGNNRCvfwABg8M0a+cVi1hSZIwBP8U44QDSK2dbWUauTjiQy6PeZ3CnN3d7t8f14Gnw2Aw4Ovr2+M4SZJYsGBBt7Xj2h1XNnFN/GtcPEqvU6ih8vGhu/ki+3c9Bs5642jNj7y4+0JqLHr94gifi7hr0laHG27k5OR0uSLvVA0NDeTk5HQ7xiAbuWHsaiJ95wJQ0ZjDa/vm02Stdmhe/UnVVHYeeZmnf0iwN0+TJSMXj/oDd3pP5gIj3OwEXfUedkffHm0AH76z39juLVmS8XYOI8Z/HjNG3s9VY17kp5O38LvZx4n2vdShY5VVHbFnF4wfPx4aDqDk3q9vlEwYYtcgmXr+fRaE3hDBPEE4T5nNZpKSJvJN/tWklrbWCVHqUdLmo9ac6Fw2JvBKh47bdrevjdZSgpI6196CXZOc2FZ0M98VXgmSkYsvvvisb3jRG5LJH+PYr8GttZtsYxq21DloJ705liSJ+Ph4VqxY0S7AmZ6ezoYNG7q8mGtpOZHiNmPGDObPn9/ri1lHaGoLatkabBnLsaUtwpaxHLVsDdpJKXanptoqisLlsU/jZHAD4MvcP1LdfLTf5zaQBntVwrnm8+xfk12hd3gLdBvDdWPfsq9IOXjwoH1cX1Js28TGxtpT18m9EH9XPcicUrKGlOIPu9lTOJVIMxeE/nUwdzeNAV8DYJLcuCz67/ZtmmbTO11q+v8jQ8S/kcxh/XJeySUKQ+I25PAnQNKbZUR4H2Je0K+pL3yry/1O9zrwdGVlZdkbenV3vRgdHd1tzbjOSJLEvKg/s3TM/5Al/brpm8OP8UH6itP6W5ZT8Q0v/zjH3jk3LuBybp+wCReTl+PHOik4J0s2on2TmTfqXS6PeZV5o94l2jcZWbJ1Or4rJoMzt45fx3DPSQAcrzvAm/svp8XB0jr9oaIxj1d/vISPD92NRakDIMQjiZ9P+5F5UX/Gp3VRZrQBfukM1ztBogFiZP3j9U7649Gtl71KSwVvvvkmWVlZ/TI/NwcbVNRX6z8Ls9lMXHSIXidP0xtyyBFPtqtRLginSwTzBOE8NmHCBEwmM1vyl3Kocqb+oD2gtx040U21N9q6qbbR6vdh2z8JrW21n2kYqbZ/k1ykr1BLSkqyN3o4H0gmP4xjv0Zy1y+eaDyILWU2muVYu3Gurq4sXLiQq6++Gg8Pj14f32w2M3ny5AEJjqpVm7HtHomScR1a2Sq0qs/QylahZFyHbfdI1Cp9Rc6pqbZHjhzB2zmMS0bpK69alAY2ZD7Y7/MbSIO9KuFcsu/Y23xX8BQALkZvbk1aby/4rmmaPcXWbDYzatSoPp/HbDbbU3RrqhqYHfgPJHu67b0i3dYBIs1cEPrXD6V/RzPoN8HmRPwOD/OJayz16L/Q6vXaapL3JUhBd/TruSXJgCHs1xjH78Fi0F+rXUyNmAtuxZZxE5q1Y/2807kOPF2NjY18/fXX9q+XLVvG4sWLiY2NJSIigujoaJyc9PrMOTk5VFRU9Ok8U4ffyS3j19trp+09tpI39i/GYqtz+FhpJWt5fd9l9jprE4Jv4eZxH2Ey9G2leVt33hGemawY9xiXRb1DrP9+IrwziPXfz2VR77Bi3GOM8MxsN74nZqNHayffWADyq7fz7oFlZ+yGjKopbC94lqd/GEtu1RYADJITC6Ie52dTdxHiob9XkEwnmmAZJEgwwLVOcItZ/5hg0B9v4+NchtF2hE8//ZRPPvmk16sau+JoMNtQqX8/ExLikfLvgWY9uCr5LUUOuf+05iIIpxLBPEE4j7m4uLS2S5f5MudyKk3X6BvUBpS0Bag139m7qcpS982v27qpGmT9bq9a9j62AxdCS+sqLPcJ1I78gm/36Rewrq6uTJ8+faCe2pAlmXwwjP0SyUOvV0hTJrbU2WiWog5jw8PDmTFjRq+PbbFYenVH1lFq1WaU9EVg7eINvbUYJX2RPaB3cp2ztjujF458gEA3faVVasmHZJZ/0e/zHChRfhc7NL7RWk5DS9/eUJzLjtTs4aODdwIgIXND4nv4u56obVRUVERtrV5zc/To0SdW1p2kN6tD2yQknCguXpHnzIUj9SY7DdYy1mf8vF+f27lMpJkLQv/JKfuWSqfvADArwcwadaL5l9Z4CLVAv/GFwf2002u7I7mPwzh+N3uPz0HT9HNoZe9i2zcWteqrdmP7eh3YH7Zs2UJjo75abOLEiYSFhTF69GgWLVrE0qVLueKKK5gzZw6g1xvesmVLn1Nk4wIW8dPJW3Az+QOQXbGZl/bMos7Su5sZALuPvsY7B5ahaPpr0oUjHmBZwhun9T0xm82M8MzkitGv4WrqPLjoaqrjitGvMcIz06ESK25O/twx8Uu8nfWazRnln7Em7TZUTe1hz9NT2pDBS3su4tPMB7Cq+s93hNc0fnFBMnNG/ab998vBG6TezhXcnPgPLg5fQ0nBTt58800OHjzY598LR4LZRtUbc61+7TFp+G608tZMAOdRGGJePy8ykYQzSwTzBOE8N2nSpNaUTJlPUi+FYXfrG9QGlLTLUGu29bqbaoz/PDRNRcn/HUrG9fb261LA9RjGbuOrbRn2F9NZs2YNSk23oUAyemNI2Izk0Zre3JSNLWUWmuVIh7HddSbrTH8H8zS1BSXzVntHva4H2lAyb0VTrQwbNqxDqq1BNnFV3Av24eszfoZVae7XuQ6EhpYKvi941qF9sio28+T2aH4o/C+K2sP37TxRZynmreSrsKn6ioHLYv7BaP/57cacnGLbWR3N3q4ObRMaGoqPj35HPzMzk9lhvzuRblv8PqklH/XrczxXiTRzQegfqqbw8cH77F9P9PglRllfVaZpSmt6rR4EksP/ieQcPqDzcXb14pjxZ3x46F5qmltreLUUoaRdipJ7P9pJKZeOXAf2l+zsbDIy9O6fPj4+Xd7cjI+PJzg4GICCgoLTug4K85rCvVN34OcSCcCxuv38d9cFlDVk9rjv1sP/5KODd6ChB8LmR/2NxaOfatfYpC+iIkdw6aj3kFDpKhYkSSChcumo94iKHOnQ8b2dh3PHxC9xM+mZMsnFq/gk4/5+qRt4KkW1sfXwP3h2x3gKqvWsHZPswuLRT3HPlO0Mcz/x2q9pCsrhR9GOv9DV4Tqh59oaZJX4wN3cnPgPZgS9xfdfv8O6deuoq3N8pWVvg9kSBtwKliFhYHy0grn4960bnDDGfYBkdDzFWhB6IoJ5gnCec3d3Jz4+HoDa2jqyrT9DDm692GwL6FV/S4z/PH5zUSHLE9cwPuhGYv0XMj7oRpYnruE3FxXqgTxbHcrBq1CPPNZ6dAk5/HEMo1eRmV1or3kSGhp6zje96Ilk9MKQ8AWSZ+vFaXOuHtBrLmg3rrfpEn0d3xOtYl3XK/JOZS1Gq1jXaaotwCjfWUwIvhnQCy5/m//Pfp1rf2toKeeVvRdzvD6lV+MlZFxb7+g32apYn/EzntuZRE7FNwM5zSHPplp4+8DV1LauPk0KXs5FIx9uP8Zms6/i9PLyIjQ0tN12R1eHgp7y3dYIw2azkZtdwLKEN+zpth8fvIeGlvJ+eY7nKqvS7HCXQ5FmLgid21P0GuWWdACcascwLfpG+za16Gm0ul0ASF5zkIN/ekbmFB0dzfH6CFalPUSlcemJ+Rx7Htv+JNS6E80xenMd2F+ampr46qsTKwTnzZuHydT56jZJkpg7d6796y1btmC19j1V1N81inun/MBwz8kAVDXn88Lu6eRX/4BNbeFA8RpWpyznjX2LWJ2ynAPH32dD5sN8nv1rfT5IXBX3InNH/bZfVmJF+qTj5lTXZSCvjSSBm1MdkT7pDp8jwC2G2yduwtxa9mLHkf/yZe4f+zLdLh2vS+W/u6fxefaj9ht7o3xm8cD0FGaOfNBesxA48X7i6D8AUDVQNYluw4uSETn+Uwwxb4KzHow9OagXoT7BR6v+TUpKisOByt4EsxO1v2CuH43Z0Mh0/+fsdS/lyGeR3Cc4dD5B6C0RzBMEoV2dtV27dyONeg45uLXro9qIkr4QtXorMhoJBo1lTnrXqGVOkGDQkNHQmnKxHbgArfITfT+DO4Yx6zGE/YaWlha+/fZbQL/oOl+aXvREMnpiSNiE5HmR/kDz4daA3mH7GEdXL/b3ake1wrEUO7ViHdA+1TYz88Qd7YUxT+Lcendyy+HHqWjMPf1JDoCGlnJe+fFijtcdACDYPZEbE9/v9kLuJxM+5zcz87l41O8xynpH4uL6NF7ZezFvJ19NZVP+mZr+kKFpGusP/dx+Bz7UYwJXj+mYOpabm2sPRMfFxbXb3pfVoW3GjBmDLOuXOqmpqYR7T+fCkXrNxgZrGesyRHfbziiqlZ1HXuaf26Moqtvr0L79XfxeEM4FjdYqNmX/n/6FaiCg6loCAwMB0BqzUAtaV/HIrhiiX0U6zdVcvRUZGYkkSVhVZ749ch2G+A1gau222pSFkjwdJf8P9r+r3V0H9qeT02snTJjA8OHDux0fFBTUWjYG6urq2L27+w69PXE3B/LTSVuI9V8EQKO1kpf3zOZvW4NYlXIdycWryCj/jOTiVaxKvd5eC9Ygmbgh8T2mhd19Wudvp+pTB8d/0qfThHpO4Lbxn9qvX77O+yvbHcxM6IxNbeHL3D/z/M6JFNXqrydOBneWxL3AnZO+aVduA0BrPoztwHS0Sv15W2zOfJp1O8nNf0UydZHuagrCEL8Rg+9lyMNuxTgpo9Og3vWxf0XJvovPPn6Bmpoah55Hd8HsByZnUpbhBmgsHP0RRkW/eSkF3IAcdGYC88L5SQTzBEHA29ub2Fi9YGtlZSW5ubnIkc+dKNSqNqKkzce2K7jzFLddwdj2JUFj691A51EYx+1E9rscgB07dtgL0J5vTS96IhncMSR8huSl13zBUqA3xWjKAyAqKqqbvTtydHxXNLUZtXwdWs1Wx3ZsTbE7OdU2JycHRVEA8DAPY36UvnLTploGLJXjdNS3lPG/H+faV+QFe4zjzklfM9bszSNmrdNOao+YNaIM4GR0Y17UX3h4xiESAq+2HzOtdC3//j6WL3J+T4vt9Ioxn012Hn2J3UWvAODuFMgtSes6LQLeXYptX1aHtnFzc7M30igpKaG0tJT5UX8T6bZdUDWFvcfe4l/fx/Lxobvtqyl7T7J3rhYE4YSvcv9k72zqWj6L6OFTkCRJTyXM/gmoetkJOfwJJJe+N/9xlKurK2Fherfco0eP0uw8B+PENCT/1hrKKKhH/ortwDSU4684VOqgr3JycuzNkLy9vbnwwgvt27qrm3rhhRfi7KwHovbs2UN1dfVpzcPJ6MYt49cxJVSv9apqVppsHRuEnOySyD8zLuja0zrvqRpqHPw7fBqlDkb5XsTyxDX2VXKfZj7A3mNddzruydHavfxn52S+yv0TSutKtWi/eTw0PY0Lwu7pkIKs1mzDtn8yNKYBUGPx44ODP+NYYyJjLrgf45RCDLFrkAJuRPJZiBRwI4bYNRinFCL7nFgZKknGLoN6CYG7uNjvfvK/WUDqj586dA1qkE0kBi3jhsR3WTFhIzckvkti0DIyDmVhs9lICvqWMHf9JjAuMRiiXhaLF4QBJYJ5giAAMGXKFPvnu3bpqR7yqGeQQ36hP6i1gK2y851tlaDqdSgkr7kYx+9GctNTd8vLy9m3bx9w/ja96IlkcMMQvwHJu7XRgqVQX6HXlENUVBRubr17c+zm5nZawTxNtaBWbMCWeTO2nYEoh66ClmM973iy1hS7rlJtAaaF3U2oh55ykFH+2ZAqmF9vKeWVH+dSXJ8KQIjHeO6c+DUuDftQ0hdhsJV03knNVtIuzdPXJZybx3/IXZO+Ici9NdVTtfBN3t/41/exJB9fPeSCmP0tr3Ibn2ToNwQMkombxn2Et3NYh3GNjY322pBBQUH4+vq2297X1aFt2lJtAdLS0jAZXFgW/3q77rbne7qtqqkcKF7DUz8ksCbtVipbbyYYJCemj/g5N4xd3WO9IJ3Gm/svZ3vBs+f877cg9FZxXRo7jvwXANnqiWvZxYSHhwN6OqtW+z0AkudM5JD7ujrMgImOjgb0ldQ5OTlIJn8MsWswjH73RPOB+n2oOXc5VOqgL05Nr50/f749vbanuqnm5u/sgT9FUdiyZctpzQXAIBu5IvZ5nAzuvRr/Q+Fz/doNtrGxkWOlDt4APM1SB2MCL2dZ/Jv2rz9M/wkHSx1b7WdVmtmU/X/8d9dU+41RZ6MX18S/zu0TNuHj0rGun1r8KkrqxWDTg95VSiLvp99PZXMQU6dOxcPDA0k2IQcswxj7LsaEjRhj30UOWIbURYORU4N6iikc0IN6Y/x3Et2whOwvLqaqeL9Dz6/dvFWV5ORkgt0PMyPsM/1B2Rlj3IdIRo8+H1cQekME8wRBAMDf398eCCopKaGgoABJkpDC/wGya+8OIrsij/kUyeQH6BeGX3/9tWh60QuSwRXDmE+RvFvvLLYcxZYyC9mSy4IFC3q8sydJEgsWLGhtZtJ7mmpFrfwcW9YKbDuHoRy8HK30HVAcLxIMIPstsX/eVaqtLBm4asyL9mDKJ5m/GBKr1eosJbz84xyK6/U7wiEeSdw56WtcjR59TvOM9J3D/dP2sST2v7ia9CBVjeUoq1Nv5KU9Mymq3Tdgz2cwVTUV8M6Ba1Bbv2dXxD5PhM+FnY7NzMxEVfWC4WPGjOk4wNFVBqeMDw8Px91dfyN26NAhbDYb4T4z7Om29S2l5213W03TOFj6Kc/tnMCqlOsoa9CLzcuSgSmhd/LLC7O5MvY5xgdf32O9oIRAvd6WhsqnmQ/w0cE7sXXSZVgQzieapvFJ5i9QNX11unvxYmTVTHh4OFpTDmp+a+qt7NLa7fLMvzVrC+bBiQ70kiQhB96IcUIqeM3tatf2OnkNdNTWrVvbZXK0pdf2tm5qwvDj9vTlvLw8cnNPv5THwbL1tCj1vRpb11Lcrzcov/nmG+qbHbturm9oROvpeqUHE0Ju4orReoqtqim8m3ItuZVbe7VvQfUOnt2ZxJbDf7f/3scFXM7D0w8yOXRFh+tZTbOh5D6Akn2n/Tqr2esW3t23nGabG15eXkycOPG0nk9bUM88NRsp6jUskv57ZZBVIty24JI1ieIflqD0ofRLfn4+LQ1FXBb1DrKkX8sYIl9Achvbw56CcPpEME8QBLupU6faP29bnUflelAbu9jjFGojVG20f5mRkSGaXjhAMrhgiF+P5LNAf6DlGLaUWYwMbGbp0qVdrtBzc3Nj6dKl9jv9PdE0G2rVl9iy7sC2KwglfSFayZugnFQ/xCUGOez3GMbvh65qlHQgg2us/auuUm1B7xg3dbheR6Sm+Qhf5/21l+cYGHWWYv734xxKG/R0z1DPidw56StcTb6nleYJ+p39C0bcyy8vzOaCsPuQWl9686u/5/mdk/gw/U7qLaX9+GwGV4vSyFvJV9FgLQNg6vCfMi2s65oxbSm2siy3CwDbObrK4JTxsiyTkJAA6KtEs7OzAZgX9Vf8XfU3sQeK3yOtZK1j5zmLaZpGdsVX/Hf3BaxMvsJeG1JCIin4Jh6ekcHV8f/Dx2WEfZ+eit/fPP4jrol/HYOkr5DYU/Qar/x48Tn1uy0IjkorXUtupd4EydQYgbk6ieDgYJydzShZt4PaBIAc/hiSS/+UyXCUm5ubvenQkSNHaGpqsm+TzMORg+7s/cGsxaj5v0Gt2oxa8z1a/QG0phy0lmI0Wx2apna5a25urv31wMvLi5kzZwKO1U1Vs1dw8dyL7A9t3boVm+30AlsHSx1bHd5fwbyszIMEND7J+KDvHdrPrXEdtn2TUOt+PK3zzxh5P5eM0ptg2FQLK/dfQUH1zo4NQIrXYFNbaFEa+TTzIV7cPcN+Y8jV5Mv1Y9/l1vHr8XQO6XAOzVaNkrYI9VhbbT4D8qjn2ZA+H1XTb07PmjULo7E3K8N7JklGjME/wW3GYZpCnqfepteHNEgqfsp6bD+OpiH15na1q3uyf/9e5o1ajbuTfg0tDbsNOWhFv8xXEHrSP/8zBEE4JwQFBTFy5EgKCgo4evQoR48eJaje8RQ3OWAZFotFNL3oA0l2xjBmHcqhq9EqN4K1GFvKbEaO/YY777yTnJwccnJysFgsmM1moqKiiIqK6nFFnqYpaDXfopWtQS3/CGydpBU6RyIHXIfsfy24JZ74eY1eqd8R7/FOr4qSeilS4lYk11gkSWL06NHs2bPHnmp7csBxfvRjpJZ8SIO1nG0F/2ZCyC0Mc+9kZdYAq7Uc538/zrVffA73nMTtEzfjavLRn1Uf0jzlgGUdHnc1+bIk7j9MHf5TPs18gNzKb9DQ2FP0KqklH3BJ5B+ZHvYzDF2ki5wNNE3jw/TbOVanp6yEe1/IFbHPdTm+srKS4mI9UBoeHo6ra/tVwJqmgq3WoTmcvDq0TXx8PDt37gT0VNu4uDicDK4si3+Dl/bMREPj40P3EOFzEW5O/g6d72xzuGo7m3N+R17Vt+0eHzvsGi6N/HO3/wfb6gUlBnX8/QaYHLqCANcY3j6wlPqWUvKrt/OfXVO4NekTgj0S+/V5CMJQZ1Wa2JjZ1rlbwr3oSiQkwsPDUY+/gFa7Td/iOf1EjeJBEhMTQ1FREaqqkpuba78BAtgbEfSWWvRvKPp31wNkF5DdwOAOBjckgxsqrnCskvmRBqyKExFRCchF+SgGN7TGLIduqAU57SY+Pp709HSqq6v58ccfmTZtmkPP4WTNDq4Od3R8ZxprCnDKW8qEYD2rQYPWG4FdB0M1TcKmGjAZbNB4ACV5KlrI/cjhf0XqZZrwqS6J/CON1gp+OPIfLEodL+6ejnZKs5Pk4lW4mHwxSmbqWo7bHx87bBlXxj6Ph3lY5/NtzMJ28Apoas3cMHpjiP2AzOJQjh3T01VHjBjRb7WgTyZJRjwjf4Ya8VMKfnwcj9rn8TJXIEsKTtXv0LJnNXLgbRhH/g7JOfzEnNUWtIp1+nWhrZoW1ZXRcg4jvVufg2s8hsj/9vt8BaErYmWeIAjtnLw6b/fu3X1OcRNNL/pOks0Y4j5C8rtSf8Bagi11NlJjCtG+B5gfuYorYl5jfuQqon0PIEtKp8fRNBW1ZhtKzn3YdoWipF6MWvxy+0CeORx5+K8wJu3FOCkbQ/hjSO7j2gVeZZ95GOI3dr1CzxQEHlNPzDVlDlqjHhhrq5sH7VNtQQ9uLYx5EgBVs7Hu0L1nvM5WreU4/9sz56RA3mTumPilPZAHnHaa56mCPcZy58SvuHncR/i0XiQ222rYkPkQT+9IJLP8C8fON4R8m/8kB4rfA8DLPJybxn2IUXbqcnxbkXPomGKrKY0oh5ahVW1wYAYyuHZc3eft7c2IEfoqs8LCQnth9HCfGcwY+QCgp9u21fg7Fx2t+ZHX9l7GS3tmtgvkxfov4v5pe7lp3Af9EkwP95nBz6buIdhjHABVzQW8sHs6aSUfn/axBeFs8m3+k1Q1FwAwXF6EqVlP7YscLqMeflQfJDtjiH4dSXKsREZ/OznVtm31sl0/BKfaUZv06xBLPjSmo9XtRqrbygiPFEb77SchcBduta+hHnkMNf//0ErfdOzwFeuYOXMmTk76a8+uXbuorXXsptDJnB1cHe7o+FNpdXuxJU8m1F2/ZrJqHhjjP8eQ8Hm312FqzHo+yP4jh6vbsmBU1GPPYNsbj1q5sfP9eiBJEpfHPkukr55qfWogr02TtdIeyHN3CuSmcR9y07g1XQby1KqvsB2YeiKQ5zIa47hdKO6z2LZtm/3cs2fPHtCFALJsImLKHzFNymBfzb3UNOtlgmQUKH0N655obNl3oTXnd1qz0VTzIaP9k/XnhBlj3AdIhl6WJhKEfiCCeYIgtDN8+HBCQvSl8IcPH6bZ5uzYAYzeoulFP5Bks96xy+8q/QFrGUryxB67yGmailr7A0ruL7DtHo6SMgv1+AtgLTlxcHMYcujDGMbvwjg5D0PEP5DcJ3R7wST7zOu2i5gx8Vsk38tb51psD+gNGzYMLy8voGOqLcCEkFsI99ZrqeVVfcv+4+/203ewZ7XNx3h5z2zKGvWLyTCvqdwx8UtcTN7tB55mmmdnJEkiYdhSHp5xkHlRf8XUWpeyrCGD1/ct4M39V1DemOPYeQdZRtnnbMrW36AaZWduSVrX5YU86Kv42oJ5ZrOZyMjIE9taSlBS56BVtKa+yq5Ab97sqigpc1HrdnfYcvJKk7S0NPvnendb/Y1scvHqcy7oVFyXxlvJS3l+12SyKjbZH4/yvZh7p/zAigkbCPWc0K/n9HEZwb2Tv7d3dG5RGnj7wFK+zvubaIwhnBeqmgrYcvjvALgYvTEfvQQAZ2cnfKv/D1T9Zqc88i9IndyAONM8PDwIDg4GoKCgAIvFcmKjg6+Bksd0DFEvI0f8G3nkX5CH/wo5+D6kYbch+V+D5HMZkudMcJ8ALjHY5CAsNmcUtZ/eltqqcXNzY8aMGfqXNhtbt27t8+HGBF7p0Pj4wCV9Ppda8hbW5Om4yHqZiirLcExJu5F9F/R4HeYcdDmTZyzl06yf8Fn2zTQr+rUXlkKU9MXYDl2H1tLLFY4nz0mzUVp/sOeBgFF24RfTDjB22NWdbtc0DeXYf1HSFtiDxJL3PIzjdyK5xrB7927q6/X6hOPGjTtjCwG8vP2Zsug/HB+2mS2Fy+1BPQkbWvEr2PZE6nPuZoWojBXNcqTL7YIwEESarSAI7UiSxNSpU/n4Y/0N7aHiKMb3rpmqvr/flaLpRT+RZCcMse9jS50LtduhizuiWItR0hai+l2JVrcbWo52HOMUguy/DCngOiSPqX0qsi3JJqSAZZ2mkAIY4j5AOXQNWuUGe0DPmLiVmJgYe6ptYWEhERER9n1kSWZJ3As8tzMJVVPYmPUIcQGLOwbU+llNcxH/+3EO5Y36CoQRXtP4yYRNuJi8Og52juz4WDc6S/PsisngwsWjfsfEkNv4POtXJBevBuBQ2adklW/iwpEPcvGo32Fu7YhmU1tIL13HwdL1NNuqcTZ6MybwSuIDl3S7Am6glTVksTr1Bvtd+2viX2O4Z/cFq4uKiqip0WvMxMTE2GviaA0HsaUv0ldtAJjDMMZ/htZyTK+b1NnFtCkInMOhbifYKlBS5sKYj5F9LrUPiY6OxtnZmebmZtLT05k+fTqyLONkcOWa+Nd5ec9Frem2d7em2/qd9vdlMJU3ZPNl7h85UPxeu9UUI7wuYEH0Y0T6zhnQ8zsZ3Vg+bg1f5f6Zr/P+AsDmnN9TUp/ONfGv4SRWLwjnsI1Zv8SmNgNwYeijHNivl6m4MDoDavQuq5LHVOTQhwZtjqeKjo7m+PHjKIpCXl6evc6x7HclStmqXh9HDn2gy+uEU1ksFt568017AGfZNVcSFuKrBzuVejSlAfXwo2g1X/f+ibQGH8ePH09qairl5eVkZ2eTn5/f69rCJ4sPXIKHUxB1vQiEeTgF9SmYp6lW1MMPox57nrbbqpkV4/GZuAaTx4lVkz1dh8XFxZGenk5OocSR5GiWTTuAr/Uj/Rzla7BVb8YQ/k+koNt7fR2YXrquV88dwKY2kV/9XaelGDTVipp7P2rxS/bH5JBfII/6F5JkpLa2lh9/1Ov8OTs7n/GFAJIkMTZxAuERL/L1V5twOvYRU0K+wsu5gu7Sm9toqCiZtyJNKeyyu64g9DexMk8QhA4iIiLsd8O2H/RFNXa9uqYdUxBZZbGi6UW/0qCpNyu0FH0V08mBPNMw5OCfYUjchnHKEQyRzyB7XjBg3fL09OAPkXwX6w+01vuLizixoqqtU97Jgj3GMmPELwCobylhc87vB2R+baqbj/Lyj7NPCuRdwO0Tv+g0kKccexHtyGO9P7gpCMmBYF4bb+fh3JC4irsnf0eoh75KStGsfJv/T57cHsPeopVklG/iiW0jWZVyHcnFq8go/4zk4lWsSrmOJ7aNJKt8s8Pn7Q/NtlpWJl9Js00PzM0K/yVJwTf2uF9nKbZq9TfYDky3B/Ik94kYx+9CckvoeXXouO+Qht2mH1BtQElfhFr2gf0cRqPR/veovr6e/Px8+7YInwtP+h0s5ZMh2t3WprZ0WXy8TWVTPh+k386/f4gjuXi1PZAX4pHEiqSN3Dvl+wEP5LWRJZl5UX9meeIaTLILoDcbeWnPRdQ0F52ROZxLevPzFwZfbuUWUkv0vz3D3OLxbdRTFD2cKol1eVMfJDkNifTak51cFuPk12rJb0nvG2E5+Bq4devWdiuxRoyMQjL5IpnDkFzjkD0mIQff1evjAUhGbzRNRZZl5s490Yl3y5YtHbIDesMoO3Ftwkpkqfs1MLJk5NqElQ7XvdVXol+Meux5AFRN4rvCxZR7P0VoWHQPe7cnSRKXXHIJBoMBi+LKmj2zaIn+Alxar8Vt1Sg5d6GkzEZrPNT9wVr1RwMQzVqBkjbvRCBPMmKI+h+GyGeQWr+v3377rb1ZyfTp03FxcXHovP3Fw8ODK5dcQ8SUP7Im6w+klFzQq/0k6LQJmiAMJBHMEwShg7bVeQCqZuRA/c+hh4sYJCPqqFf4dtsP9mOIphenz6FOqgAGT+SguzGM3YJxahGGqOeRvWYOWADvVCcCeov0B6zFeB9bRpi/3h2vs1RbgEsj/4SnWU/v3nHkBYpq9w3I/Kqbj/C/PbOpaE1hDfeewR0Tv8DZ6NlunKZaUXJ+hpp7LyfuyPb8uyyH3H9ad2QjfC7kZ9N2c/WYV3Az6QH1upZi1qTfxhv7Luvy7nhdSzFv7F804AG9U4MJq1Ju5H97TjQPifGbz4Lov/d8HJvNXkPR09OT0NBQ1JI3UdLm27sqS76XY0j8Fskp2L6fJJuQA5ZhjH0XY8JGjLHvIgcs01crSEYM0a8jhz6iD9asKBnXoRw/sQpg7Nix9s9TU1PbzWl+9GP4ueqFtodium1W+eZug7nJx1az7tB9/Gt7DD8WvY6q6f/PAt3GcPO4j7h/2l5iAxYOyt/kxKBl3DNlO15mvWZYUe1ent85icLqXWd8Lmernn7+gxXMF9pTVFu72ptXxD5LYUERoHFxxIfINAIgj/wTktuZb/jUHS8vLwIDAwHIz8+npUUPEkuyE4bRK3t1HWgYvbLXr4H5+fn2kgceHh5cdNFFnY5zKJgIqMdfQEm5CK0hhbCwMGJjYwG94VJbCRhHxfjPY0XSRjycOp+Hh1MQK5I2EuM/z6HjqrW7sO2fiFb7HQBNVlfWZd5FvuUqZsy4sE9z9fHxsTf8aGlp4Zs9FowT9iOP+DNI+gp+rfY7bPvGoxT8CU21dHe4024AojUewpY8Fa1mq/6A0Q9DwlfIwSe6JB85csQeQPbz82PcuHEOnbO/SZJEXFwct952O/7ejl3TKeVD69pBOLeJYJ4gCJ2Kjo7Gx0dvArA91YXm8DXdFt41xG9kx0F30fSinznaSVXyXYgh+kVk79mDdsff3sCjLaDXcpxFEc/g7VxmT7U9ldnoweWjnwH0VIWPD96DqvWc1uCIqqZCXt4zm4qmXAAivGfykwmf21NY22jWKpT0y1CPt3Ykk4wYol7GkLCpxzcU6pHHUOv2nNY8ZcnAlOF38MsLs7hw5INIvaoVp9e1WZN2K4pqPa3zd6WzYMKB4tUU1e0FwMMcwg2Jq5F78XuXl5dnr8kUFxuLWvAHlKwV9o7Jcsj9GMZ8jGRwIMcf/QLcMOpJ5PB/tD6ioebcg1Ko12oLCAggKEj/Gebm5tr/XgH27rZSa9D240P30NBS4dD5B0pW+Wbe2L+o22Du6rQb2XHkBRRN//n7uURy/dh3eHB6CgnDlg76jZVQzwn8fNoeRnjpbzLrWop5+cdZ7Dv2zqDO62zQm5//mQjmCz3bdfRliuv1AFVC4NWEe82isLCQ+IDdjPDSgxWS+0Tk4b8czGl2qW11ns1m4/Dhw/bHe9MIyxC/Edmnd8Esi8XCF1+caPY0f/58e8OKU/U6mIhE21tbrfZ7bPsmoOQ+yEUzxmMy6QGZHTt2UFdX16s5nirGfx6/uaiQ5YlrGB90I7H+CxkfdCPLE9fwm4sKHQ/kFb+GknIRtOirlMubwngv/QGO1kYzf/58+5z7YvLkyfj6+gL6KsvD+UUYRv4B44QDer1CAK0FtfDP2PaNR63Z1uWxTqcBiFr5ObbkadCsX3fhGo8xaQ+y96wTY1SVLVu22L+eM2cOsjw0QhRubm54ezj22tlYe2yAZiMIHQ2N/ymCIAw5siwzZcoUQC9YuzvTs9sUt0plgv2Op5ubm2h60V8c7qTa945t/enUgJ6TVMHS2Bfxdi7r0NW2zdhh1xDtp9c4O1K7mz1Fr/bbfCqb8nl5zywqm/IAiPC5iBUTPusYyGvMxHZgKlp1a30eoy+GhC+Rg+/qNs1TCnlQH682oKQtRGvsmE7sKBeTN5ePfoqFMf/s9T51LcV8mfsnjtTsprwhm4aWchTVdtpz6SmYAFBvKeFoTe8CmQcP6sW0DZKNCV7PoR75W+sWGXnUsxginz2tYLQh7FcYol+l7TJHLfg9at6DaJpqb4ShaRrp6ent9mufblsyJLrb2tQW1qTdiqr17ufoaR7O1WNe4eEZh0gKXt6r4GpvaWoLatkabBnLsaUtwpaxHLVsDVov0zw9zEHcNWkLE4JvAcCmWng/7WY+z3rUvpJQaK+3P/+BDuYLPWtoKbeXiTDKziwa/S+KioowS2VcGPapPkgyYYh5055aONR019W2p1IHvQ3kgZ5S2ZZem5iYyMiRI7sd36tgYsImjBNSkLzaAkUK6rFncM6YxGVTagANq9Vq75baFwbZRGLQMm5IfJcVEzZyQ+K7JAYtcyi1VlMtKNl3o2TfAZr+t/NYyxzeT7uXuhZfJk6cSGhoaJ/nCGAwGLj00hM1Y7/66iusViuSayyGxK0Yol850dikKQMlZZbetdVa1eFYfWkAomkaytGnUNIXg6Jfl0q+izGO+wHJOaLd+LS0NMrK9IYfUVFRPf4unGk1DT2POZ3xgnA6huYriSAIQ0JcXBw//PADdXV1pKamMm3aNNw6KbyraVq7phcXXXSRaHrRXwagk+qZ0hbQUw4uRav6DHenWpbGvsjGPCcU5VIMhvZBBkmSuDL2Pzz9w1gUrYXPsx4lPvAq3J1Ob4VnZVM+/9szm6rmAgBG+cxmRdIGnIztV32pVZtRDl1rT/PEdQzGMZ8guZxogNFV8WnJ/2oUWzla6dtgK8eWNh/j+B/apYj2VVHtXofGbzn8OFsOP97uMbPRE1ejDy4mH1zaPp7yuavJt5Nt3qia0qtggoY+7jcXFXb7xqapqYnDhw/jbGzgqjGrMNW0BndlVwyx7yH7Xe7Q8+2KHHQ7GH1RMq7XVyAcexbNVkFszIts3boVm81GWloakydPbrdqbX70Yxwq30BFYw7JxatIDFp2Wt0JT5cjxccBFsb8o1c1Cx2lVm3utAGJUrZKfyM9emWv3sybDM5cm/AmQR5j+TzrV2hobM3/ByX16Vyf+G6HlPfznSM//7qWYtJL13VafF4YeJtzfk+TTQ+GzAr/Fb4u4aTmb2Vu+AeYjXozDHnEH5DcEro7zKDy9fXF39+f8vJy8vLysFqt7VaI9dSAoTfy8/PtZQ66S689lewzD2lKIVrFOtSKdfrNTqM3st8SJL8l9vRew9gtaGWrUfIe1v9eWYsJ5w9cmzCar3IuJyNDr883fPjwPj+HvtIsx/RGYXU7Wh8xUOHxGz782guQ8PHxsXfhPV3Dhw9n7NixpKamUldXxw8//MCsWbOQJBkp6A4k38UouQ+glb+vz634FWwVn+g30/yvtb8uOtoAZIz/ZSjZt6OVvGF/XB7+a+TwxzrcpGtubmb79u36d8JgYNasWQw1RU0TCTZ92/vxjZMYMYDzEYSTiZV5giB0yWAwMHnyZAAURWHv3s6DChkZGaLpxQCR/Ry7I+pIJ9UzQZLNGMasRfJZCIC7Uy2LRj3LsdzOL4wC3GKYHfFrAJpsVXye/ehpnb+y8TAv75llD+RF+szpEMjTNA2l6HmUtIUn6rX5LMQ4bke7QF53JEnGEP0aks9l+gOWfGxpC9AcXVnZCUfr1XTGYqulqrmAY3XJ5FZtIa10LXuKXmNbwb/4Iue3rDt0L6tSrue1ffP5z64pPLk9mr9s9ec3Xxr54zfeDgcTupOZmYmHqZRlY54nwLk1kGcKwpi4rd8CeW1k/6v09GiDvgJTK30HQ+51xI3W7/xXVVVRVNS+EYOebvu6Pd127cG7BzXdNq1krUPjM8o29vsc1KrNKOmLuq7faarUijEAAHZSSURBVC3WG45U9S7NU5IkZoU/wm1JGzC3Bu8OlW/ghV3TqWjM669pnxP6o/i8MPCKavez6+jLAHg5h9lfx6Tydwj3bv0755aEPPzXgzXFXmtbnWe1WikoKOjXY1ssFjZvPvF3Yt68eQ7d/O2ubqp9jCQhB96IcVIGcsgD0FqqIsg1kxsSnmJG2Aa+/WYjqtq/pTx6otZ8r9fHawvkmQKwjf6Mj3eE0FaTd968eaeVXnuqmTNn4uqqdw7fu3cvpaWl9m2SUxDGuPf0FY/m1vCTtQQl43qU9MVorddNjjQAWRb7LKQvOBHIk5wwxLyFIeKJTlfb79ixg6YmvabyxIkT8fb2Ps1n3P+qmElDiwea1v04TYOGFg+qpJlnZmKCgAjmCYLQg4SEBPuFQHJyMs3Nze22WywWvv1WD8yIphf9byC7yJ0pekDvI1rcLgb0gJ738WvRmrI7HT8n4jf4uuhpGD8WvU5+1fd9Om9FYx4v/TiL6ma9Rl+k71xum3BKIE+1oubcjZp3P6Cn+cmhD2OI/wTJwRVCkmzCEPcBkofePIaGFJT0K9HU5u537IGj9WrCPKdwWfQTzA7/NVOG38XYYdcQ5XsxoR4T8HWJwMXobQ9U9YZNbXLo/D0FE0pyPubaMc/h41yuP+A6Vu9Y6zHRofP0luw9B2PiVmhtKKJVfcYM38cxG/RC9Kc2wgCI8JnJ9BF6im19SwmfZv5iQObWlVrLcXYffZWV+5fYu2L2Vn8Ef0+mqS36irye0nw1G0rmrWgOpHnGBizkvik78GsNmpc0pPOfXZPJrdzSw57nD0d/niklH/C/PXP5JOMX7D76KoXVu7DY6vtlLqKbbuc0TeOTjPvtnaMXx/wbJ4MrtRUZTPB9FwBVM2CMeeO0GiSdKV11te0P27Zts9esS0hIIDw8vF+PfzLJ6IUh8mmMSXuRPPXVbgZZZWLwVi4L+TV5P/7LnlEykDRNQzn+EkrqHPsNEcl9MsakvXyzx0pjo/5aNGHChH5fLeji4sLs2bPt8/jyyy87BDFl34UYJ6Yjhz6EveZg1WfY9o5BKXoaTbP1qgHIbXHPM6rwl2i1rddspmEYErciD7u5030qKipITk4G9PI8bY33hprIqDi+zLseDbnLgJ6mgYbMl3nXExkVe2YnKJzXRJqtIAjdMplMTJw4ke+++w6r1cr+/fu54IITbdp37Nghml4MoLbCz0r6ou7fTDvYRe5Mk2RnXMZ9SsHmKQx3T8NZrsCWMhtj4lYkl+h2Y00GF66IfY439+urtNYdupefT9uLQe79S1ZFYy4v75lNjUVfMRrlewm3Jq3HyeBqH6NZK/R0l7YOa5IJQ9RLyEE/6fK4iqKQk5NDTk4OFosFs9lMVFQUUVFRGAwGJIMbhviN2A5cCE0ZaLXbUDJu1IN8faxdNibwSpKLV/V6/EXhj/SYZqdqCs22WpqsVTTZqmi0Vuqft3598ue5lVtotPZ+ZVp3wYe6/Ne4KOBxjLL+uyx5z9O/NwOcWim5T8CYuB1b2qVgKcTJsodrE46z9uAKsrKymDt3bofVIQuiHyejbAMVTbnsP/4uY4ctI97B2kG9pWkax+r2c7DsUzLKNnC09sc+H8vR4G9PHOqobS1Gq1iH5EAK3jD3Mdw3dRfvplxLbuU3NForeXXvPK6MfZ5pYXf3bdLnCFVTabY5Vqxf1azkVm0ht6p9QNTXZRRB7mMJ8hirf3Qfi79rdK//rmaVb2ZN2q0dVukmF6/CwymIaxNWOtwA4FxxoPg98qv1VMFRPrMZO+waNE3DlvVTPFrTaytd7iLYfXA7dPaWn58fPj4+VFVVkZeXh6IoHcpi9EVBQQEpKSkAuLu724NMA01yH4chcRta6VvY8n6JZCvHw1yDh+XXtBzYjFPMC0iuMT0fqA80tRkl5z60ktdPzGfYCgxRL5CTe4SMDL0TvLe3Nxde2LfutT2JjY0lPT2dgoICiouLOXDgAElJSe3GSAZ3DKP+jRxwI7bsO6FhP6iNqHkPoZW+iyH6FaIM8IhZ4xBwUIFmDZwlGGOAOFMzhvwHQGvtjOs2HuOY9UjOnSecaprG1q1b7YHFmTNndtkAZbBFRUWxZcsEPsmES0e9h5tTx7/JjVYPvsy7ngplAlFRUYMwS+F8JYJ5giD0aNy4cezevRuLxcKePXsoLy/HatVXX7R1OxNNLwaO7DMP4jd2Wq8KcKhe1WCSDS4UuT+NrfrnhHtnQMsxbClzMCZu6RDQiwtYTHzgEtJL13G8PoUfjvyHmSMf6NV5yhtzeHnPbGotevpktN+l3Dp+PSaDi32M1nAQ28HLobk1pc/oj2HMWmSvrtMj8vPz2bRpU7sOqKCnmbu5ubFgwQLCw8ORTH4YE77AdmA6tBShVXyMmnMvctRLfVq16mi9mt7Ud5MlA64mH1xNPj2OXZ2y3KFgYmfBJE3TUI/8Hecjv7XnBNQ6L8M3/t0zFoCWXGMwjvsBW9o8aDyIj/ko18T9l3WZd5GRkcG4ce3faDsZXFmW8AYv75mFhsbagz8lwmcmribffplPi9JITsXXHCrfQEbZBmotnXfA83GJoKrpcKfbOtPf9f0c7aitVqxzuJ6Wm5Mft0/YxKeZD7LjyH9RNRsfH7qH4vpULh/9jEPF5c8FimojpWQNW/Iep6QhvecdTuLrMoo6y3Gsp6yorWzKo7Ipj4NlJ36eRtlMoFucPbjXFujzNIe0+1vV1gCnq7qZbd10VyRtHNCAnk1tIb10HQdL19Nsq8bZ6M2YwCuJD1yCUR6cQECLrYGNWXpnWgmZK2KfQ5Ik1NJ38LDpjRbKGoPxHPe37g4zpEiSRExMDLt27cJisVBYWEhERETPO3ajpaXltNJrT5ckyUjDbsPkeyXHdt9BgPIxkqQh132Nbd9Y5OG/RA77P6STbvidLs1yBOXg1Wj1rY2hJCPyqOeQg++mubmZr776yj72dLvXdkeSJC655BJWrlyJzWZj+/btREVF4eHh0XGsx0SMSbtRi55FLfgDqI1o9Xux7Z8EaBjQSDBAwqmxXbX6xDH8rtZvLnfTjT4vL4/8/HwAgoKCGDNmzOk/0QFiMBhYsGABa9c28saB3zHKO41RPmmYjU1YbC7kVSWQV52AhpGlSxf0S+BbEHpLBPMEQeiR2WwmIiKCjIwMrFZrp2kXY8aMEU0vBlBvCz8PddExY1n97q0sin5TryPUUtQa0NuK5NL+bublo58hq/wLrGoTm3N+T+KwZXg5d9/hrbwhm5d/nG0PjMT4zeeW8R+3C+SplZ/rTRFaO6zhmoAx/lMk5/Auj5ufn8/atWu7TMlpaGhg7dq1LF26VA/oOY/AmLAJW8pMsFWjFv8PnIIxjPxTz9+kU7TVq+nuzTTo9WquTVjZ74EPR1cGnhpM0lQrSs49aCWv2R/beewKpl31zhn/vZXMoRgTv0NJX4RWtxMv50quifsv2zPcOwTz4ES67feFz1LfUsK6Q/cRH3hVn4MJ1c1HyCjbyKGyDeRUfo2tkxRsk+xCtN+lxAYsJs5/Ea5O/jyxbWS/BnN7S1Ob0Ro6piF3y4FmHSczyCaWxP2HIPexrM/4GapmY8eRFyhtyGB54hrcnPz6dNyziU1tYd+xt9l6+O9UNOU6vL+HUxCPzMhAkmQqG/Mork/leH0qxXWpFNenUtGYg8aJFDubauFYXTLH6pLbHcfF6GMP7AW6xfFl7h973U23pwY4fTVUVgaeGlCsaiqw3ziaFnYPwR5j0VqOo+TqafqqJrO36m4u///27ju+qXr9A/jnnKR700lb2tJBW0pBCmXvXags2SIiyvXqdeO64l736kVRcfyUIQoqDhDFMkSmKEsoCIVSSikt3ZRC90jy/P4IOTRt2iZw0qTleb9efUFOvjnPN2l6kvOc7/f7uMpzEaC1RERE4ODBgwC0U21vNpm3d+9elJZqP3NjYmJuen83SrDxgG/fb/HzN68g3usL+DlnawskZb8BTeFabfGHDhNverkYzdW9UJ+eDtRdW6POxg+K6O8humlH3+3cudOs02sbcnd3R79+/bBv3z7U1tZi165dmDhxosG2gqCEInARRK87tJ/dJVsBGLm+oOgMMfIrCIqmzwfUajV2794t3R4xYoTVL88TEhKCqVOnYuvWrUgv6YH0Ev3vC/Uv6DLWmgRqjcUCboJGo8H777+PTz/9FOfPn4ePjw9mzZqFV155RVrHqzk1NTV4/fXXsXbtWuTl5SEwMBD33nsvnnrqKSiV13OZaWlp+PLLL7F9+3acO3cOdXV1CA8Px/z58/HPf/7zpq6WHDp0CH379sXBgwfRp0+fG94PY5bSUiID0F750yUyGGsKEWHVqlUou1qE2yO/RJDrae0dtgEGE3q7zv8XW8/+GwDQ3W8m7uy+rsl9F1Wcwad/DUdZTR4AoIvnuGuJPHsptib3PWgynoTui6nQ4XYoIr+CoGx8hVpHrVZj+fLljUbkGeLk5ISFCxdKV2Y1V/+A+uQo4FrSRgz7GAr/B1rcjyFNncwCMOvJrEpTa1Iyqf7JPKmuaqcyX/nt2r6U+PXcbNgH3ImxY8fK3ldjkboC6tN3gEq2AQBqVPao7bwOHUIaT6OtVVXgvf09mk2uNPX6a0iDnNK/pOmzDZMmOm52gYj2vh3R3okI6zBcL/kMtDwyCtAmc+UaGUV1l6HJ+wSa3GVAXYGJjxYg+NwJRcDjEJzjbij+ucu7sfb4HaisuwwA8HQIw909f4anY7jVjcySQ526CodzVmJ35tu4Wp0tbRcgooffTITY+eDnC+83ezotAri7y5uICvl3s3EKKk5Jyb38a4k+U6olt2R27De4reMs2fYHtP77v7l+NHUMBgTM7fE9uvlMhfr0VO30dACHckZC7f+i0RVbrQURYeXKlbh69Srs7e3xz3/+84ZHHGVlZeH777Vrfzo7O+Puu++Gvb29nN012blz57Bx4wbEeB/CoKAtsFNc/3wXOkyAIvQDCA6hJu9X+z1jGTTnF0lLowgu/aGI/gGCnT8A4OzZs/j5558BaJNs8+bNM9uovPrUajXWrFmD4mLtshmTJk1qcUooEWkr3uZ9YHQcRdR3zY7OPnz4MPbu1Y5a7dq1KxISEozet6W1tNQKYzfqRvNFVp/Me/TRR/HBBx9gypQpSEhIwOnTp7Fs2TIMGzYMv/76a4uZ/MmTJ+Onn37CggUL0L9/f+zfvx+rVq3CvffeixUrVkjtnn32WXz88ceYMmWK9AImJSVhy5YtGDVqFLZt2wZRvLF6IZzMY23ZzSQyGDPk999/x6FDh6AQ6rBg0BY41Gi/1BlK6Kk0tXhvfw8UVWjXlbmv13ZEeI5qtM/CilR89tcIKZEX5TUec3usv57I09ReGx12fd0aMfAZiCFvtLiW3ZkzZ/DLL78Y/fwSExMRGRkp3dYUb4L61BRoC2wI177oTjN6f/WpNXVIKdyIlMKNUjIjxmcyYnwmm3Uq4o2cTFP1BahSJgCV2mmCteSGjafvQn55CGbMmIFOnTqZrb/GIE0trh69A05V2t+tmmxhG/M9RM/GoxX2Zr6DpLQnm92f7vkHu/fH2eLfcLpoE1IvJaG8trBRWwECAt36INo7EdHet6Ojc/cWv8+0RjKXqjK0Ce/8lYCm8qb2BQCC6xCIAY9D8Lzd5DUjiysz8EXyRGmaqY3oAKVojypVSaO2bXXNthpVGQ5k/x/2XngH5bXXk6aioEQv/7sxLOQZeDoEQ3UoGGer87G+FjBUysIZwB22QIS9H5R9skwe8VpRe0lK7OVdS/IVlJ9Erbrlz31DbEQH2CldYa90hZ3C5fr/m9hmp3DRv//aNluFE9RUd8MXE+Rk7DHw7s5PISzvPwCA4kpfrEt5HHdMn2Px492N2LNnD/76S7t+57Rp0xAcHGzyPmpra/Hll1/i6lVtpfgpU6YgNNT0JJk5/Pjjj8jIyIC9sgLT+x6HR129yuGCHcRO/4bY6RkIonGJR1JXQZ1+P6hwjbRN9LsfYtj7EETtSLWqqiqsXr1aGpU3c+ZMs4/Kqy8nJwfr1mkvirq4uGD+/PktrlWnSr0TVGT86HzBew6UUV8ZvK+iogKrVq1CbW0tbGxssGDBAjg7Oxv/BBhrp9plMi8lJQWxsbGYMmUK1q9fL21ftmwZHnnkEXz77beYMWNGk4/fvHkzJkyYgCeeeALvvPOOtH3RokV499139V6sI0eOICIiAq6u+otwz5s3D2vWrMGmTZuQmJh4Q8+Dk3msLbvZRAZjDRUUFGDt2rUAgNiYCIwI/FgaIQXbwGsJvTCp/bnLu/DZXyMAAJ4OERgd/hJSizZLyawA117Yc/5tlF8bQRTtlYi5t/0A5bUvz1RbpB2FVfq7doeCLRQRyyH6zjOqv0lJSdIi1caIiorChAkT9LZp8ldBffbe6/G7bYXoPtzofVoDU5JJmrK/oE65/foaj/aR+ObYLBSVusDFxQULFy60imk1arUKJ38Zha4d9lzbooCiywqIvvOlNqaMTFQIttqRGWhc0dVW4YwunmMQ5Z2IKK/xcLHzNb2/ZkrmasoOQXNxCejSeuhNp1K4QPC9D1T01fXpYs1RuAE2HYHqBn8v9mEQ/R+F6HcPBIXxJ27VqlKsOzEXp4s2tdi2NUZmyaWyrgR/Zi3Dvgvv6SUnlaId+gQsxJCQp+DhoF04XlP0HdSpMwEAagJOawwsPi8Cimt/Ti2NijGWhjQoqcrEV3/PQE7pkZve340QIEIp2jVa/685Q0OeRpTXeNgpXfQShUrR/oaPOaYcA5wFAU/ZEQQI+O7Uw7hSF44HH3ywTV7kzMvLw9dfa5M4PXr0wKhRjS+ktWTHjh1SxVJrG4V15coVrF69Gmq1Gvb29lgwoxuUF58Ayo9eb2QfBkXYMogdtP0mTe215U5+qrfcySTAqaf277QiWfs4wRaK8I8g+t2nF7P+94m4uDgMH9763wO2b98uFSLp1atXi4VIVCcngEo2G71/wWM8lN2SDN63bds2nDx5EgAwaNAgq61gy1hru9F8kVWvmffNN9+AiPDYY4/pbV+4cCGeffZZrF27ttlknu4DqOHjH3vsMbz77rtYu3at9GL16tXL4D6mT5+ONWvW4OTJkzeczGOsLUtPTze5PSfzWHN8fHzg7u6OK1euIC09CyNGrodw5tqUx9qL9arcahN6YR2G4za/OTiW/zWKq85i3Ym5evurv55bV++JuLPHd9cTeRUnoUq5HajJ1Daw8YGi60aIrv1hrJqaGpOen6H2ot8CUF0BNJnPAVQL9alJELrvgeDc08AerFMXrzH495CsFpNJmuKfoE6dDVw7ARfchuKC3f9QVHp9Wo01JPIAQKFQotzzdRzIfg39An8FoIY67R5QXTEUgYsAACmFG42ehqimWr3bHvYhiPa5HdFeiQjtMFR6X95wf0UbdPeb3mK1YmMQaUCXk7RJvGu/G4ltIMSAxyD63QdB6QZNh3HGVdSO/g6C+2hQyTZocpaCrlxb8L76HDQZj0Bz4QWIfgsh+j/cZJXD+uyVrpjT/Vu8ttu7xVFi5l6zTQ7lNYX4PWsp9md9hBr19YqItgon9At8AINDnoCrXUe9x2iKf5T+rxBgePF5vfamFyAxRBREeDqGwtsx0qRknrt9EPycu6FaVYoaVan2X7X235bW3WuIoDEpkQcAezLfxp7MtxttFwWFNCJQ+lfpojdS0E7pAnuFq14i0E7pgqyrB4w+BpQT4bQGqC4YhsKKIISHB7XJRB6gLUzg7OyM8vJynD17FiNGjDBpllJ2draUyHNycrJI4qo57u7uiI+Px4EDB1BdXY0/jtdh5MhD0OR9qv2sVl8Fqs9BnTIeGs/JEDynQnP+6UaFyNRFXwMQAFwbH2PrD0X0Boiu+omqs2fPtkr12pYMHjwY6enpqKysxNGjRxEdHQ1f32YuLplaIb2J9vn5+VIiz83Nrclzb8aY8aw6mXf48GGIotgoO2lvb4/bbrsNhw8fbvHxAQEBjYa2d+rUCf7+/i0+HgAuXrwIAPD29jax94y1D3IkMhirT1cpT1chOSu7AJ27boQ6ZZL25N9AQi/aO9GIIgwC+gT+Q0qYaIo3QX1mDqC+NjHNqQeUXX82KolQn6mFXZpqLwY+C9TmQ5P7AaAug+pkApQ9/tAbhWjtmksmadcKeh+ajCegO6kRfO6CImI5Tm7aKrWLjo5ure4apVtsLFYcHINqlROGBm+EIBA0558E6ooghvwHpwpNq+bqZOONISGLEOWdCF8n60lc6pCmGlS4FuqL7wBVDUbQOfWAIvBJCF4z9aZqmlpRW+gwDmKHcaCKFKhz3wMVrAGoBlBfhSZnCTQ5SyF4TYMY8HijE96GThdtMnq6Z1ltPlIKN8qS7JTTleqL2Ju5BIcufqaXnLJXumFg0CMYGPSoXoEPqrsEKtkKzeXNoEs/mBSLin+COmMRhA4TILgOgnCTawmaWgBnQpclTR4fVJoabYJPXS/RpyqTkn3Xk39l0v/Pl+xFZV3xTT0HANCQGlWqK6hSXbnpfbXkpNoJxTnavwVLFXqQg+6z+ujRo6isrERubq7RU0Lr6uqwbds26fbo0aMtvk6eIX369EFKSgrKyspw/PhxxMbGwtf/QYhe06A+/zSo8AsAABVvlNZBNOxaIs8xBsrY3yDY+undW1VV1WrVa1tib2+P4cOHIykpCUSE7du3Y86cOU0makXPSdcSlsYRPSc32kZE2LVrl3R76NChemvXM8ZujFX/FeXm5sLLy8vgiVFAQAD+/PNPqNXqJq945ebmNlnqOiAgADk5Oc3Gr6iowJIlS+Di4oJJkxovim1ITk5Oo/2mpKQY9VjGrJFciQzG6tMl8wBtAaLQ0FAoum6E+tTk6wm9E8OhjN0FtV0n/HLmCSP2Slifch+eHXwBQu570GQ+Cymp5DkFisgvTZripxMeHm7SNNumFpQWBAFi6FJQXRGo6BugrgCqk2O1CT1b06dcWkKTU4w6JILOPwNN3odSWzHoZYhBL6K6uhoZGRkAAF9fX3h6WldVUjc3NwQFBeHvLKBa5Yix4d9CgAqai2+B6i4ZXKOtOZ3c4jGs8zNm6u2No7riekUt9KfMCu5jIAY+CcF9VJPJxxupqC04xUAZsRwU/CY0+f8HTe5H1wpqqEGXvoX60rfQuPTXrqvnNQWC0PhrqanJ1B0Zr8NG4YAAlzi42HW0aDK1uDIDuzPfwpGc1XqjNp1svDA4+An06/QgHGzcQESg8mRoLieBLm8GlR2AlBwwlaYCmpx3gZx3tdOk3UdD7DABQocECLYdW358AzE+k+Fi63fT1ZQFQYCNwh42Cns4w8fo+N/8fadJycQgt364reMc1EiJwrLrScNricL6CcMbXRewOYV1nQDS/j209aJgEREROHpUO+00LS3N6GTe77//Lq2TFx0djbAw67xoZWNjg+HDh0sFKXbs2IHZs2dDsPWBMnI1NH73QZ3+AFB50rgd1hUDysafcbt27ZLWyevZs2errpNnSGRkJFJSUpCZmYmCggIcO3YMcXGGCxYJnpMBGz/DF3IasvHTtm8gNTUVubm5AICgoKAWC28wxoxj1cm8ysrKJhMDuqs7VVVVTS6c2dLjdQdVQ4gI99xzDzIyMvD555/Dy8vLqD4vX74cr7zyilFtGWsL5EpkMFZf/am26enp1y7MOFxL6E0CXdkO1GRDdWI4Tvk9ZfQUp7LafJw4PhrdKq5PGxQ7LYYY/CoE4caKGIWHh8POzs6oUadOTk7N/g0IgghFl9VQ1xVpK7xWn9OO0Ou+G4LStcnHWQNNya8GR2api74GBDvtyCsAEGygiFghrUl45swZaDTaddiausBmabGxscjKykLa5Z4IQU9EiS8CmkpQwUrYw7STLntTpySZGVWdgyZnKTQFq6SpzwAAQQnBe7Z2JJ5Td6P2JYg2ELynmzyNU7D1hiLoBYiBT4OKvoE6ZylQoV2zicr2Q526H7ALhuj/CES/eyEo3aTHVps4kiq//G+sTr4dAOBs6wN/l57wd+2JAJc4+Lv2RAeHUIg3eCxQaWqNqqZbUH4au8//B8fyv4aG1NJ2Vzt/DAl5Cn0DFsIGGtCV36C6nKRdj6o2z3BQmwCgrvmLz3pEZ0BzbTSyugxUvAHq4msL+zvHQfSYoB215xJv1DFRKdpiRrcvjCr+MKPbF7JPcTZ1ZODg4CdMGpmpITVqVOVScq9GVYZqdSlqVWXS/w9fXIm88uNG77O83BnOADw9PRutxd3W+Pv7w9HREZWVlTh79iyGDx/eYoL84sWLSE7Wrh3n6OhoddNrGwoPD0dwcDAuXLiAvLw8pKSkoFu3bgAA0W0QqNNz0JyZY9zO6vJBxRsh1DtGpqen4/Tp0wC002sHDx4s+3MwlSAIGDVqFFavXg2VSoV9+/YhPDzc4PtVEG2hiPzCuKUWIr9odGGnrq5Oql4rCIJR7yHGmHGsOpnn6OiIwkLDCy5XV1cDABwcHJp9fFMnX9XV1XB0dGzysQ899BC+//57PP/885g/f77RfV64cCHGjx+vty0lJQULFiwweh+MWZPw8HA4OTkZXc2Wk3nMGA2n2l64cAGhoaEQFA5QdP1JL6F38tyzJu37VMledLMFINhB0WUVRB8jv4Q3oby8HGq1usV2giBg3LhxLa6PJIi2UERvgPrEcFD5EaAiGerTU6GISZIq3lkbTcmvzX+R1yXyRCcoYn6B6D5MuuvUqVMAtK9PVFSUmXt6Y8LDw2Fvb69dNynFCV1n/QrN6dsBVQmiVBdh/Gk8mhyZJIemRkZqR8bpT6fUlB6EJmcJ6NIG6Be1cIXY8X6I/o9AsGvd0SGCaAfBdz4En7tBV3dBk/Mu6PK1hdJrLkBzfhE0WS9D9F2g7Z9D6E0lR8trC5FWvA1pxden+9kpXODv2hP+Lj0R4NIT/q5x8HGKhkJs/itxUwVgjuV/LRWAcbb1wc7zb+BkwXpQvZF1HvYhGNb5WfTyGAjx6nbQ6clQXd0DUONCKRDsILgPh9BhAkSP8YBdIFSHgo0eFaOIPw+UHwGVbIbmchJQUe/dW34UmvKjQPZrgI03BI9x2lF7HmMhNPM6d/Eag3t6Jpm9mrIhco0MbIooKOBg4wYHG7cm2zjb+uLrv2cavU9liXYpgbY+Kg8ARFFEREQEjh8/jvLycuTl5cHf37/J9g2n144aNarZczVroEswffnll9BoNPj999+lzwQAoMvGF4ED9NetrKqqwvbt26X7LDm9tiE3Nzf0798fv//+O+rq6rBr164mZ6KZutRCfYcOHUJ5ufYCQ48ePYweIMMYa5lVJ/P8/f1x6tQp1NTUNBphl5OTAz8/v2ZPmvz9/ZucSpuTk4OgIMPrJj3xxBP4+OOPsWjRIrz22msm9TkgIAABAQEmPYYxa6ZQKDBu3Dhs2LABzRW/NjaRwZhOZGRko6m2ABol9KrVTY+iNqSaoP1iGfMTRJebqyCu0WiwefNmqFTaJJaNjQ3q6gycgEP7N+Di4mLUfgWlCxQxm6H6exBQdRZ0ZQfUZ+ZBEfU1BMG6/oZIU6v9Am/M4vWiIwTXgdLNkpIS5OVpRxyFhIQ0exHNkpRKJaKjo5GcnIyKigpkFvshtPvvUJ0cg2jKhXMdUG7Efm4kmWCsZkdGXjuREtxHgS7/cq2oxe/6O7DrBNFfV9TCsqOFBEGA4D4CovsIUOUZ7VqLBau1IwfVZdrbucsgeE5GtHMPHDNh32PCXoWDjQdySo8itywZBeUpUNdLmtWoy3C+ZC/Ol1wfvasU7eDn3P3aCL6eCHCNg59zLGwU2iRE2qVf8fnR8dDAcFK/rDYfK4+ObbTd2zESw3xvR3ehGkL+EiDzn/XTqtfZdbo+Ys59BASF/t+JKaNiRIU94DYQcBsIRcgboJqLoMtboClJApX8BmiuXZirKwIVroG6cA0ABQTXAdoEYocJgGNMo5Ez4QrgSTvCaRiopmtHsDXTYUsaGdjM6w8AIhRmGRkImJZQtBM8YVeqHdXVltfLq0+XzAO0n9XNJfP++OMPXLlyBYC2sntERERrdPGmeXp6Ii4uDn/99RcqKyvx559/YsSIEdo7TV1nsV57a5te21CvXr1w+vRpXLp0Cenp6Th79myTv7MbWWrh6tWr+OuvvwBoZ8UNGDDAjM+GsVuPVSfz4uPj8euvv+LQoUN6Q5Krq6tx7Nix6wfZZh7/1VdfITs7W68IRnZ2NnJzczF16tRGj3nmmWewdOlSPPzww1iyZIl8T4axNiwkJARTp07F1q1bDY7Qc3Jywrhx49rFVWjWery9vfWm2qpUKmlB5OsJvYmwL/ythT3ps7fxgLLnYVlGHR08eFBa58Xf3x/Tpk1DRkYG0tPT9S40paamQqPRICkpCXPmzDFqYWfB1gfKbtugOjZAOzXn0nfQnPOGGLbMqqagUPFG40YFAYCqSG+KkW5qEWC9U2x1YmNjpalhJ06cQFjYZCh7/AGcHIM7NGexphaGEzHXiACmhTxilmRCiyMj6/KhPpkA2HYEahtcxHTqAUXgUxC8Zhg82bI0wTESivCPIQa/Bk3+Z9DkfgjU5gLQgIo3IJI2wFlQoJxaHh3rYtMBwzo/q/c7UGlqUFCegpzSZOSWJSOn9Cjyyo6jTlOp1+Zi6WFcLL1eGE0UFPB2jEJHlx44Xbix2URSQx3tAzHU0Q9dq09BzDf0XbLl5Fl9NzMqRrALhNBxIcSOC0GaGtDVPaDL10btVeuq1atBpb+DSn/XrjVqFwTRY7yUXKTSfVCnTICCVIar6aoKtO/PmCSDfbhZ4QrgLjvC+hrDSXVnAHfYEcLNmFCcFvIIvkh7rsVjQNfyEciBAjY2Nu3m4n6nTp2kkctnz57F0KFDDb5fc3JycOSItvJxW5he21D//v2RmpqK8vJyHDt2DLGxsdoCiDdYzdUap9c2pFAoMHr0aHzzzTcAgJ07dyI4OBi2toYL55i61MLevXuli6EDBgyw+lGajLU1N7ZoSCuZOXMmBEHAe++9p7d9+fLlqKysxJ133iltO3fuXKN1vWbPng0AjR6vu13/8QDwwgsv4O2338b999+PDz74QJ4nwVg7ERISgoULFyIxMRFRUVHo3LkzoqKikJiYiIULF3Iij5lMEARERkYC0FZBzsrK0r9f4QBF15/R1SXWpP12i/hAlkRebm4u9u/fDwCwtbXF+PHjYWNjg8jISEyYMAFTp07FhAkTMH78eAQHBwMAioqKsGfPHqNjCPadoey2FVBoR0pp8j6CJvvNm+67nDTFphUg0Fyr+EdE0omMra2t1S6AruPt7Q0/P20FwoyMDFRUVECwD4Gi205EKJW4y1abNDDEGcBdtkBY/gcgjeGRmzfK+JGRGr1EnuAxFopu26HsmQzR506rTOTVJ9h4QtHp31DGn4cici0E514AAKUA3GGjbvELqwhgqg01aqcU7RDgGoc+gfdicvSH+FffP/HqyFIsGngas2K/wpDgJxHeYSQclB56j9OQGgUVKTiW/zVqNMaPDh6sBB7ERXSr+gsi1Xuc0ktb3TlqHZT9iqDssReKTs9AcOpmVPJe9BgDZZ8sKKK+g+A9B4LHeAjec6CI+g7KPllGJdEE0Q6ixxgowt6DTfxZKHudgRj6LgT3UYBQ7/1RkwVN/v9Bfep2qPZ3gDplYsvvP1JBfeZus73/I0QNnrIHZtkC3RVAF1H77yxb4Cl7IELUmCW+rg9h+R8YdQwY57oVoqBGp06d2k21TlEUpSVUSktLDS6BZGh6rbWOxG6Kra0thgwZAkD7+bVz504QkbbIkwlEz8lWVb22Jf7+/ujRowcA7bIif/zxhyz7zc7ORlpaGgDtyEddDMaYfKz6UyY2Nhb/+te/8OGHH2Lq1KkYP348Tp8+jQ8++AAjRozAzJnX168YOXIkLly4oDcNcMKECUhMTMS7776Lq1evon///ti/fz9WrlyJ+fPno1+/flLbZcuW4fXXX0doaCgGDhyItWvX6vUlLCwM/fv3N/+TZsyKKRQKREZGSgkYxm5Wly5dcPDgQQDaQgm6qbY6gsIBMT1+g/MeX6OmOToLImJ8Go+6NlVNTQ02b94sfaaMGjUKbm6G11QSBAEJCQn48ssvUVlZiWPHjiE4ONjo9SMF5x5QdP0Z6pNjAaqB5sLzEGx9Ifrdd9PP42YRqUBVZ0170LUpRnl5edJ0q4iICKs9kakvNjYW+fn5ICKkpKSgT58+QNmfAKkQodAmDU5rDEwzFAGFAKAuH5qLb0Nwb37mgCk0V3YYPzISAFyHQBm+zOiiFtZGEG0h+NwJwXuOdkRYxiJElB/GXbbA+tpmRmbZAhFUAvXp6RCcYgAoAEEBCMpr/yrqbVPAEwp4CQr0cIsC3GNANA9XVCXIrcpGblUmcisvILfqPErrik3q/1UCpNycXsGJ3jc9hf5GC5A0uT/HLlA4dgECHgepykBXfoOmZDPo8uZroyNxfT1MY9TlQ3PhBQiu/QFSX/+B/v/J4H0qw20rUqT3v0KA4ZGB9eKrT09r8PvX/73r31Ze+50031ZT+gdQl2/cMUBRhlD3kwjuLP8IRUvq0qULTp7UVnRNS0uDr69+BfY//vgDJSXayt+RkZFtZnptQ1FRUfj7779x8eJFXLx4EampqYiKnGxyNdddW7dLM1mscXptQ4MGDUJ6ejoqKiqQnJyM6Oho6eLWjdBoNNi1a5d0e/jw4RBFqx5DxFibZNXJPEA7ii4kJASfffYZkpKS4O3tjUcffRSvvPKKUVcyv//+e7z22mtYu3Yt1qxZg8DAQLz++ut4+umn9drphoVnZGRg3rx5jfZz9913czKPMcZk5u3tDQ8PD5SUlODcuXN6U211lKW7cYctjJrmeIeNBmJJEnCTJ7s7d+7E1atXAWi/3EdHRzfb3snJCQkJCVi/fj0AYNu2bfDx8TG6kqHoPhSI+hrq09MBaKA+ez9g423yiAA5EBGo7CCo8CtoLn0L1BWZtoNrU4x0hS8A659iqxMZGYldu3ZBpVLh5MmTiI+P1xuZ2GIyAYDmwvPAhVbobBMEu8A2m8irTxAECG6DoXGIAJUfNi6RAoAu/wS6bNpoUh3Xaz9SmRYl8LkaONfcgaeBasEeioiPIHRIgGDb8Yb6YQmC0gWC1xSIXlO0FzEqjkFzeTM0Oe8BqktG70dz8S3zddIIdPln0OWfzbZ/Y44BoR4nEdRO1svTCQoKkqq6nz17FoMGDZLOw+pPr3VwcGhxGSRrJggCRowYgTVr1oCIsHfvXoSFhUFpwrqV5zIuSKPS3dzcrHJ6bUP29vYYPnw4fvnlFxARtm/fjjvvvPOGE3AnTpxAUZH2u4OuWjBjTH5WnyJXKBRYtGgRzpw5g5qaGly8eBFLliyBk5OTXrvMzEyDi/Pb29vjjTfewIULF1BTU4Nz585h8eLFjUYIrF69WnsC08TP6tWrzfk0GWPslqSragtAqmrbkKb4J0QoYNQUpwjF9WmeNyo1NVVKRLm6umLkyJFGPS4kJATx8fEAtGu7bt68GRqN8VkA0WsqxPCPr93SQJ06C5qrvzf7GDlRZSrUmS9A9Vc41Mf7Q5P3oemJPGinGKnVapw5cwYA4OLiordurTWzs7OTRh6XlJRoi2iZuvi5pZmxv7rfa1JSEjZs2ICkpCScOXPGqGrPN6ze89ElUmbYAvPstP92U1xP5JmDk4n7drDpANFvQZtK5DUkCAIE555QBC2GcJNFhG5Fzg6qJkdyt1UKhUJaKqGkpASXLmkTvO1hem1D3t7e6NmzJwDttNP9+/drp6fHJGlH6Bli4wdFTBJq7Ae3mem1DXXp0kUq2lJYWCitIWuq6upq7Nu3D4D2fTN06FDZ+sgY02f1I/MYY4y1b/Wn2qalpTVeW+3aybyxI3NuJplRWloqfRHXTZ+1t7c3+vEDBw5EdnY28vPzkZOTg/3792PgwIEtP/AaRcf7gdoCaLJeAjTVUKfcDqHH7xCcTFs30FhUkwNN0TpoCr8CKgx8cbf1h+A1A1S41rjROdemGJ07l4Hq6moAQHR0tFUV9GhJbGwsUlJSAGhHF/h1djdtB049IfrMla0/msK1hn83TTF1sXYjZWZmGiyClJqaat4iSCY+H6HD7VB0/l+jKZtUf/qmgemc0jTPBvd3Pf86/i41fqp5tFNoy43aElNff5d+EDs+2GDaqrKJaa76/zc05VV9/imTRtoJHSZqf/9GTe01MM3XwP2avP8DlR00ug+2Dj5Gt21LIiIipAtdmzdvhouLC65evSpNr+3SpYt0ca6t0xXDqKysxNGjR9GtWzd4erZczXXX5s1602vbyoUsQPudZ+TIkVi9ejVUKhX++OMPREREGD3DQGf//v3S53+vXr3g7u5uht4yxgBO5jHGGLOw+lNtG1a1BaB3MmnMFKcbTWZoNBps2bIFNTXaNaL69u1r8jo3CoUCEyZMwJo1a1BbW4sDBw4gKCjIpC/0YtAL2rWn8j4B1FehOjkWyh5/QrAPMakvTSHVFdCl9dAUfgW6uhtAg1HtCjcIXtMg+syB4DYUgqCApkOC0VOMBNGmTVWxbcjf3x8dOnTA5cuXkZaWhhE9EiAWfW304xWd/i3bmmaAdtqsOnVmyw2vET0nyxZbJzMzExs2bDA4AwIAKioqsGHDBkydOlX2hJ7oOQlqE15/0ecuCI6N13W90XRyDJRwPn6ncWt2AugW+OANRrJOJr/+AU/I+v4Xfe6E2oRknugzF4Jj44TSTV1OEB1N+htUeE+5mWhWq/5FmUuXLkmj83TaSyIP0M7sGjx4MLZt2waNRoOdO3di2rRpza5bWb96bVuZXtuQm5sbBgwYgL1796Kurg47duzA5MmTjb4gV1xcLI3oc3JyQt++fc3ZXcZueVY/zZYxxlj7Vn+qbW1tbaOptjdSSe5GHD58GBcvXgQAdOzYUa9Ikinc3d0xevRo6fbmzZtRWWl8NUxBECCGLYPgNU27oTYPqpNjQXXGr1vVEGmqoSn6AapTU6E64Av12ftAV3dBSuQJdhA874AiegOU/fKh7LICovsIacF+Y6cYiR5jUF1djYyMDACAj48PPD09b7jfliAIArp16wYAUKlUSC2IbPp5N3RtZKKs/fGcDNj4NUy5NkJmiq9Wq7F169YmE3lSfCJs3bpV9im3uudvFDM8fxvvabjD0cOoarp3OHpAqfu7bScs/fpbOr4pfSACKupc4Rl2j+x9sLTMzEz89FPza1EmJSUhMzOzdTrUCmJiYtCxo3a6fFZWFtLT05ts25aq17YkLi4O3t7eALRryTf3vOsjIuzatUv6rBgyZAhsbW3N1k/GGCfzGGOMWYH6V/TT0tL07muNk7m8vDz8+eef2l3Y2GD8+PFQKG688mRUVBRiY7VTY8vLy7Ft27YWkyH1CYICisi1ENyGazdUpUF9cjw0dZehKfoOqtQ7oTo5AarUO6Ep+g6kqW20DyI1NCW/QZW2QJvAS50OKv4RIF1bAYL7SCgiVkHZrwDKrj9A9JoCQTQ8rVj0GANlnywoor6D4D0Hgsd4CN5zoIj6Dso+WRA9tNUb66+h1tZG5enExMRIC3//fTIVisgvtFMFm1NvZKKcBNEWl9zfApGIpt5CRACRiEvub8kan4iQmpraaGptUyoqKow+8TOWINpa/PWPilmHu+zE5tfstBMRFbNO9viWZg2vvyXjG9sHIoAg4kTFo7Cxa9trxjVk6YS+peimners2rULdXV1Btvu3r1bOk7edtttbWp6bUMKhULvguTOnTulGQvNycjIkC7GduzYscXCYYyxm8fTbBljjFlcc1NtdSdSpkzzNEVtba1esYoRI0bIssbL8OHDkZOTg8uXLyMjIwPJycmIi4sz+vGCaAdF1x+h+nsYUHEMVH4Y6oMd6yXjtNRFX2tHxkV+AcF9NKj8iLYSbdE6oC6/8X6de0PwmQPRayYEO3+TnlNzU4x0dGsqCYKAqKioJttZM0dHR4SFheHs2bMoLCxEUe0YeMckQX3mboOvqe711yU05aRWq/HT7kp4Ku7F6NB1cLIta9Smss4F2zNm4VJKBeYGlEGtVqO2thZ1dXWoq6uT/l9bW2twe3P3mZKEBrRTzXRFROQieowBLPT66+JHdd+Cp1Ln4XRNQeM1O+18YRv1pdniW5o1vP6WjG9MH3R/g2G9JputD5aSnp5uckJf7mOApfj6+qJHjx44fvw4ysrKcOjQoUbr4J47d0763HNzc8OQIUMs0VVZdezYEbfddhuOHTuG8vJy/PHHH81WKVapVNi9e7d0e/jw4W1qrVzG2ipO5jHGGLM43VTbgwcPSlNt6xfCMOfJ3K5du3DlyhUA2hGCMTExN/o09LtkY4PExER8/fXXUKlU2LNnDwICAuDr62v0PgSlG5TdtkB19DagrqBRIk9Slw/1yQTAtiNQm9P4fvswiD53QvSeY3A9MblcuXIFubm5ALTVfRtWnm9LYmNjcfastvDByZMnMXJky4ufm4PuRLoCkfj8+PMIdT+JUI+TsFNWoUblgIySbsi40g0aUgCoxGeffWaWfhjLmBEcN0L0sMzrXz++Xd9s9CjeiFgLxLc0a3j9LRm/uT4czwrG3pPu0JACo65VA21PTB1t256SeYC2sNWZM2dQXV2NQ4cOwd7eHvn5+aipqYFSqURWVpbUti1Pr21o0KBBSE9PR3l5OZKTkxEdHS1NO24oOTlZ+h5Vf3oyY8y8OJnHGGPMKkRGRjZb1dYcJ3NpaWk4efIkAMDZ2RmjRo2S9Wqyt7c3hg0bht9++w0ajQZJSUmYO3euaevIKDsA0BjRUKOfyLPxheg9C4LPHAjO8a1ylbx+4Yu2PsUmODgYzs7OKC8vx+nTpzFkyBDY2LQ8MlFu9U+kNaRAekkPpJf0kDWGUqmEjY0NbG1tYWNjo/f/wsJClJaWGr0vOzs7WftWnzEjQ83J0vEtzdLP39LxDfWBiHBo1/9BQ5Vwd3eHh4eHxfpmLqYm6M2V0LcUBwcHDBo0SPocrz8Crb7Q0NA2Pb22ITs7OwwfPhybNm0CAGzfvh1z586VlqDQqaiowIEDBwBoL2IOGjSo1fvK2K2Kk3mMMcasgpeXV/NVbSHvyVxZWRm2b98u3R4/fjwcHBxuer8Nde/eHRcuXMDZs2dRUlKCHTt2ICEhwejHU/FGoK7I+ICuQ6EIeg6C+wgILa0zJSMikqYa2draIjw8vNVim4MoiujWrRsOHDiAmpoapKent3qCsrS0FHl5eSY9xtXVFZGRkQYTc7a2tga3Nzw5q+/MmTP45ZdfjI7f1n/vjJmisLBQKnAkdyVna2Fqgt6cCX1LcXV1bbHN+fPnkZmZ2a7eBxEREQgNDUVGRgaKiopw9OhR9O7dW6/N77//jtpa7ayBvn37wtm5qdVFGWNy42QeY4wxqyAIAiIjI3HgwAGDU23lRETYsmULqqurAQB9+vQx2xV1QRAwZswY5Ofno6ysDKdOnUJQUJDR03k1xc1XEGwUzy7AImt35eXlSdNsIiIi2sVUI10yDwBOnDjRKsk8IkJOTg6Sk5Nx9uxZk9es8/f3l3XNpvDwcDg5ORm1ZpYgCG2uejFjN+P8+fPS/zu3wym2gPYYkJqaalL79kStVmPbtm0tttMVAFm4cOFNFdCyJroiINnZ2airq8O+ffugUCiQm5uLmpoaEJFUwdjNzQ29evWybIcZu8VwNVvGGGNWo7mqtnL666+/kJ2dDUC7wPWAAQPMFgsA7O3tMWHCBGmq644dO3D58mXjHqy6YlowU9vLRDcqD2i7VWwbcnNzQ1BQEAAgOzsbJSUlZoulUqlw8uRJrFmzBt9++y3S0tJMTuQB8p9IKxQKjBs3zqhp2kSEb7/9Vlo3kbH2TpfIUCgU7WqKZX26hL4xnJyc2l0y70YKgLQnrq6u0ncktVqNnTt3IjU1VRqJqNO1a9dGsykYY+bFyTzGGGNWQzfVFoA01VZuBQUF2LdvHwDtWmHjx49vlavoAQEBUhW8uro6JCUlGff8lO6mBTK1vQzUajXOnDkDQLv2YHs6qY2NjZX+r1tfUU5lZWXYt28fPvvsM2zbtg1FRdenVPv4+GDMmDFwdHQ0al/mOpEOCQnB1KlTmzyhd3R0lAq7VFdX4/vvv293J7SMNVRdXS0lrgMDA9vFaGRDjE3oC4KAcePGtZtRaTo3UgCkvTFmxPWBAwf0knuMMfPjZB5jjDGroZtqC0CaaisnXRJNo9EWlBg+fDg6dOgga4zmxMfHSyO9CgsL8fvvv7f4GNFzkkkxRM/JN9K1m3L+/HlpynJ0dHSrFNtoLeHh4bC3twcApKSkSO+dm6GbSrtp0yYsX74cBw8eRFVVFYDrlZ1nzZqFuXPnIjY2FgkJCRY/kQ4JCcHChQuRmJiIqKgodO7cGVFRUUhMTMQ//vEPzJ49G926dQOgHWX4888/49ixY2bpC2PWICsrSxo9257WSTOkpYS+k5MTpk6d2i5fh1u9AIip04zVanUr9IoxBvCaeYwxxqxMly5dpHXKzpw5I+u6eXv27JGmSoaHh+uNumoNoigiISEBX375JaqqqnD06FEEBQU1+xwFz8mAjR9Ql99yABs/bftW1h6n2OoolUp07doVR48eRUVFBc6fP3/D70mVSoUzZ84gOTkZBQUFevfZ29uje/fu6NGjR6PF1nUn0lu3bjU43cvJyQnjxo0z+4m0QqFAZGSklHBvaMyYMXBxccH+/ftBRNixYwfKysowaNCgdpXgZQy4NdbLq0+X0E9PT0d6ejpqampgZ2eH8PBwhIeHt7sReTq3egGQG5lm3NRnBGNMXpzMY4wxZlXqV7U9d+6cwaq2NyI9PR3Hjx8HoE1+jB492iIJBmdnZyQkJGDDhg0AgK1bt2LevHlwcXEx2F4QbaGI/ALqlAkANTMtV1BCEfkFBLF1p3pVV1cjIyMDAODt7Q0vL69Wjd8aunXrhqNHjwLQFsIwNZlXXl6O48eP4++//5YqX+p4e3ujZ8+eiIqKanaaXls4kRYEAQMGDICLiwu2b98OIsKhQ4dQXl6OMWPGWEUfGZND/YX/XVxcWnWEtyW1lNBvj271AiA3Ms34Vnp/MGZJnMxjjDFmVRpWtc3MzLzpL8fl5eV600QSEhKMXofMHDp37oxevXrhyJEjqK6uxubNmzF9+nSIouHVL0SPMUBMEtRn7jY8Qs/GD4rILyxSxTYtLU2aVtPeRuXpeHt7w8/PD/n5+Th37hx++uknqNXqZpNpRIS8vDwkJycjLS1Nb3quIAgIDw9HXFwcAgICjE4qt5UT6djYWDg5OWHTpk1QqVQ4deoUysvLMXHixHY3aqU1qdVqq07m3gp0v4OUlBSUl5cDADw8PKDRaPh30E6ZUtG7PRYAudWnGTNmzTiZxxhjzOrUn2qblpZ2U1+Odeu46NZ069WrF4KDg2Xp580YPHgwLl68iIKCAly8eBEHDhxotqqu6DEGQp8sUPFGaIo3aqvWKt0hek6G4Dm51Ufk6eim2AqCgKioKIv0oTX4+/sjP1+bSK0/UiE1NVVvmqtKpUJaWhqSk5Ol9jr29vaIjY3Fbbfd1mgqbXsTGhqKmTNn4scff0RlZSWysrLw7bffYurUqXB2drZ099qczMxMg9OsG77/mPk09TvIysrC8uXL+XfQTukKgGzYsKHZCuPttQDIrT7NmDFrxgUwGGOMWR0vLy9p2pJuqu2NOnr0qFRIw9vbG4MGDZKljzdLoVAgMTERtra2ALSV4C5evNjsYwTRBqL3dCijvoKyWxKUUV9B9J5usUTe1atXkZOTAwAIDg5ut0mazMxMJCcnN3l/RUUFNmzYgM2bN2P58uXYsmWLXiLPy8sLo0ePxj/+8Q8MGTKk3SfydPz8/DB79mypQnVRURG+/vprFBcXW7hnbUtmZiY2bNjQ5Mgg3fuPK0maD/8Obm23cgEQUy+mtreRiYxZM07mMcYYszq6ip4ApKm2N6KoqEiqGKtUKjFhwgRZ1t+Ti7u7O0aNGgVAO4IwKSlJqmraFpw+fVr6f3udYqtWq7F169ZmR2QA2t/f6dOnpTXxdFNpZ8yYgXnz5qF79+7NronXXrm7u2PWrFno2LEjAKCsrAzffPNNi4lrpmXK+48rSZoH/w4Y0HxF74ULF7bLRB5wfZqxMdrjNGPGrBkn8xhjjFml+uuCpaWlmfz4uro6JCUlSSdWQ4cOhaenp2z9k0t0dDRiYmIAXF/br6WTRmtARNIUWxsbm3b7Bd6USn6ANmncu3dv3HvvvZg0aRI6dep0y1dydXR0xPTp06XCITU1Nfjhhx9u6O/6VnMjlSSZvPh3wHR065ZOmDABU6dOxYQJExAZGdnuptbWp5tm3NLnWHudZsyYNeNkHmOMMavk6el5U1Nt9+7dK03nCw0NRY8ePWTvo1xGjhwpTUU8d+5cs1M6rUV+fj5KSkoAABEREe121JmpJ+ZhYWEYOnQo3NzczNSjtsnGxgYTJ06U/g7VajU2bdokVQlmhpn6/jt9+nSbuBjQlpw5c8ak9pzMY+3NrTzNmDFrZj1zjRhjjLF6dFNtb6SqbUZGBo4dOwZAOypo7NixVj06ysbGBomJifj666+hVquxd+9eBAYGwsfHx9Jd01O/mmZubq60vT0XvjC1Ml9tba2ZetL2iaKIkSNHwsXFBfv27QMA7Nq1C6WlpRg6dKhV/41aim7atrHOnTuHTz/9FP7+/ggICEBAQAC8vb15tIyRqqqqUFBQoPdTWlpq0j64midrj3TTjLmiNmPWg5N5jDHGrFZkZKTJVW0rKiqwbds26fa4cePg6Ohotj7KxcfHB0OHDsXOnTuhVqvxyy+/YO7cuVKBDEtrqpIjAGzbtq3dVnLkSn7yEgQBffv2hYuLC7Zt2waNRoMjR46gvLwc48aNs6o1LS2poKAAR44cQVZWlsmPraiowNmzZ3H27FkA2qnfHTt2REBAAPz9/eHv739D79P6yXxLnMjLHb9+4q6wsBD5+fkmJ+4M4WMAa69004zrL4PCGLMc/sbEGGPMaumm2l6+fFmaatvcyT4RYdu2bdJolp49e6Jz586t1d2bdttttyErKwvp6ekoKSnBzp07MW7cOEt3S6rk2NT0PV0lx/Y4zSY8PBypqakmtWct69q1KxwdHbFp0ybU1tbizJkzqKiowKRJk2Bvb2/p7lmERqNBRkYGjhw5csMFQoKCglBeXo7Lly9L21QqFbKzs5GdnS1t8/b21hu95+Li0uzIyKaS+ampqXBycjJ7Mv9m41dVVUkJu8LCQhQUFODq1astxvXw8ICDg4PeSOSW8DGAMcZYa+BkHmOMMatl6lTbY8eO4fz58wAALy8vDBkypLW6KgtBEDBmzBgUFBSgrKwMKSkpCAoKsmilWFMrOS5cuLBdTbfRVfIzZgF8ruRnmpCQEMycORMbNmxARUUFLl68iHXr1mHq1KlwdXW1dPdaTW1tLU6ePInk5GRcuXJF7z4PDw9UVFQYNX1bt26VQqFAVVUVcnNzkZOTg5ycHBQUFOhVWS0qKkJRURGOHz8OAHB2dpZG7umm5oqidmltSyfzTY1fXV3daKqssYk7Hx8f+Pn5wdfXFz4+PrCzs4Narcby5cv5GMAYY8yqcDKPMcaYVas/1fbMmTNNnihdunQJe/fuBaCdCjJ+/Pg2OWXPwcEB48ePx3fffQciwm+//YaOHTtKBTJa241UcmxPU3B0lfyaSyYAXMnvRvn4+GDOnDlYv349Ll++jOLiYnzzzTeYOnUqvL29Ld09syotLUVycjJOnDjRaJ214OBg9OrVCyEhIbhw4YLJ7z8HBweEhYVJFYRVKhUKCgqQk5MjJfmqq6ulx5eXl+PMmTNSsQcbGxt07NgRHTt2xPHjxy2WzDflYsLGjRvh5ORk1FRZXeLO19dX+mlqeiwfAxhjjFmjtneWwxhj7Jbi5eWlN9W2rq6uUeVUlUqFzZs3SxVvhwwZ0qYTAYGBgejfvz/+/PNP1NXV4ZdffsHs2bMtkpzUrbtlrPaWzAOuV/Jras3A1phm2J65urpi1qxZ+Omnn5CTk4Py8nKsW7cOkyZNQlBQkKW7J7u8vDwcOXIEaWlpeskhhUKB6Oho9OrVC15eXtJ2Od5/SqVSmlILaJNfly9flpJ7ubm5UnVqAKirq0NWVpZJa/ZVVFTgyJEj6NSpEzQaDYgIarVa+rfhNo1G0+LPpUuXjL6YoFarDSby3N3d9ZJ2Pj4+Jk/l5mMAY4wxayMQ1683u0OHDqFv3744ePAg+vTpY+nuMMZYm/Pnn39i//79AICJEyciIiJC7/7du3fjyJEjAK6fdLX1ypgajQY//PCDtM5Vr169MGzYMLPHLCkpQV5eHvLz85GXl4fCwkKT9tG5c2dMnTrVTD20LEsXAGjvVCoVtmzZgrS0NADa6rfjxo1DdHS0hXt28zQaDdLT03HkyJFG6685OjritttuQ48ePZot1mPu919FRYU0ai83NxcFBQXQaDQ3vd/WZGNjg9DQ0JtK3DWHjwGMMcbkdqP5Ih6ZxxhjzOp16dJFSualpaXpJfMyMzOlRJ6DgwPGjRvX5hN5gDaRkZCQgC+//BLV1dU4cuQIAgMDpZNJOU4ky8rKpKRdfn4+CgoKjFqbqzntuZIjV/IzL6VSicTEROzevRtHjx6FRqPB5s2bUV5ejt69e0sJsbaUSKmpqcGJEyeQnJzcaNSYt7c34uLiEBUVZdSoW3O//5ycnBARESEdX+vq6vD9998jLy/PLPHMITAwEImJiWbbPx8DGGOMWQtO5jHGGLN6Xl5e8PT0RHFxMc6ePYtffvkFtbW1UCqVetPAxo4dCycnJwv2VF4uLi5ISEjAjz/+CAD46aefGrUxtppjTU0N8vPz9X7Ky8ubjW9vbw8XFxcUFRUZ3Wde/J3dDEEQMHz4cLi4uGDPnj0AgL179yInJwf5+fkWq6YKmDYq6+rVqzh69ChOnjzZKEEeGhqKuLg4BAUFWfWFBxsbG7i5uZmUzPP29kZUVBQUCgUEQYAoijf1s3fvXpw7d87o+O35YgJjjDFWHyfzGGOMtQk+Pj4oLi6GWq2WFmmvLzQ0VFrsvT0JDQ1FeHg40tPTm2zTsJqjWq1GUVGR3qi7y5cvNxtHoVDAx8cHHTt2hJ+fHzp27Ag3NzdoNBqu5MhaXe/eveHs7IytW7dCrVY3m9AxdzVVQDsC2NB6afWTicHBwcjJycHRo0eRnp6utx6eUqlETEwMevbsCU9PT7P00RzCw8ORmppqdPu+ffvKOmotOjrapGQeH38YY4zdKjiZxxhjzOplZma2eEJ5/vx5ZGZmtrsFyNVqdaM1tgwhIvz000/w8vJCUVER1Gp1s+09PT2lpJ2fnx+8vLwMTlXkSo7MUqKiomBvb4/169e32NZc1VQB7fGnufe/Lpno5uaGK1eu6N3n7OyM2267Dd27d4eDg4Os/WoN4eHhcHJyslgy39LxGWOMMWvFyTzGGGNWTa1WY+vWrc0mkgDznsxbUnp6OiorK41qq1KpkJ+f32i7s7Oz3og7X19f2NraGt0HruTILKWmpsbothUVFbJXUzbl+FM/kefj44PevXujS5cubfp4ZOlkvqXjM8YYY9aKk3mMMcasWnp6ulGjMgDznMxbWnPTaw0RRRGBgYFS8s7Pzw/Ozs433Y+QkBAsXLiwzRUgYG2bqe//HTt24NixY3rrrgmCYPQabg3bXLp0yejjDwD4+flh6NChCAgIsOr18Exh6WS+peMzxhhj1oiTeYwxxqyaqSfz7S2ZZ8rIJAAIDg7G1KlTzdIXruTIWpup7/+qqipcvHjRTL1pmbu7OwIDAy0W31wsncy3dHzGGGPM2nAyjzHGmFUz9WTe1PbWztTqjFzNkbUnpr6fFQoFbG1tQUTQaDR6P62hvR1/6rN0Mt/S8RljjDFrwsk8xhhjVu1WT2aZWk2SF4Bn7Ymp7/+EhASDyR4iMpjgIyKo1WqD92k0Gvzxxx+4cOGC0fHb2/GHMcYYY9aJk3mMMcas2q2ezOJqjuxWJtf7XxAEaT08U8TGxpqUzOO/P8YYY4y1BtO+0TDGGGOtTHcyb4z2mMzSVXNsaTF9rubI2iNLv/9v9eMPY4wxxqwTJ/MYY4xZNUufzFsDXTXHppIKTk5OmDp1KldzZO2SJd//fPxhjDHGmDXiabaMMcasnu5kfuvWrQan2zk5OWHcuHHtOpnF1RzZrcyS738+/jDGGGPM2nAyjzHGWJvAySyu5shubZZ8//PxhzHGGGPWhJN5jDHG2gxOZjHGLIWPP4wxxhizFrxmHmOMMcYYY4wxxhhjbQQn8xhjjDHGGGOMMcYYayM4mccYY4wxxhhjjDHGWBvByTzGGGOMMcYYY4wxxtoITuYxxhhjjDHGGGOMMdZGcDKPMcYYY4wxxhhjjLE2gpN5jDHGGGOMMcYYY4y1EZzMY4wxxhhjjDHGGGOsjeBkHmOMMcYYY4wxxhhjbYTS0h24FVRWVgIAUlJSLNwTxhhjjDHGGGOMMWYNdHkiXd7IWJzMawXnz58HACxYsMDCPWGMMcYYY4wxxhhj1uT8+fMYNmyY0e0FIiLzdYcBQH5+PrZs2YLOnTvD0dHR0t2RRUpKChYsWIBVq1YhJiaG43N8js/xb6k+cHyOz/E5Pse/NeNbQx84Psfn+Byf41vuM0BulZWVOH/+PBISEuDn52f043hkXivw8/PDPffcY+lumEVMTAz69OnD8Tk+x+f4t2QfOD7H5/gcn+PfmvGtoQ8cn+NzfI7P8dsHU0bk6XABDMYYY4wxxhhjjDHG2ghO5jHGGGOMMcYYY4wx1kZwMo8xxhhjjDHGGGOMsTaCk3nshgQEBOCll15CQEAAx+f4HJ/j33J94Pgcn+NzfI5/a8a3hj5wfI7P8Tk+x7fcZ4C14Gq2jDHGGGOMMcYYY4y1ETwyjzHGGGOMMcYYY4yxNoKTeYwxxhhjjDHGGGOMtRGczGOMMcYYY4wxxhhjrI3gZB5jjDHGGGOMMcYYY20EJ/MYY4wxxhhjjDHGGGsjOJnHGGOMMcYYY4wxxlgbwck8xtgNUalUSEtLQ0VFhaW7whhjjDHGGGOM3TI4mcdMQkSorKwEEVm6K8zCLly4gOjoaGzbts3SXbGIqqoq5Ofno7a21tJdsRiNRgO1Wm3pbjDGGGOMMcbYLUVp6Q4w6/fDDz9g7dq1OHz4MPLz86Xtfn5+iI+Px5133onp06dbsIfmderUKZw8eRLe3t4YPHgwlMrGfzYnTpzAjz/+iBdffFHW2MXFxfjyyy9x5coVjB8/Hn379gUArFq1Cp9//jlKSkrQr18/vPTSS+jUqZOssX/++edm78/PzwcR4fDhw9JrMnHiRFn70JSkpCRs2bIFly5dgq+vL26//XaMGjVK9jhnz55FUVERBgwYIG3buXMnFi9ejMOHD4OIoFQqMXz4cPzvf/9DbGysrPEjIyNx++2345577kFMTIys+zbWunXr8Nlnn8HZ2RnPPvssBgwYgFOnTuGhhx7CH3/8AbVajdtuuw2vv/46xo0bZ5Y+7Ny5E2vWrMHhw4dx8eJFVFZWwtXVFZGRkUhISMD9998Pb29vs8Sur7i4GEePHkVOTg4qKyvh6OiIgIAAxMXFwdPT0+zxW1JWVoaSkhIEBQVZuiut5ty5cygpKUG3bt1gb2/f6vEvX76MJUuWYO7cuejatWurx6+urrbI8z5z5gx2796NkpIS+Pj4YPTo0bJ/BgHA/v370adPHygUCtn3bYqsrCw4OjrCy8tL2nb+/Hns27cPKpUKvXv3lv3431B1dTVOnjzZ6BgYERFh1rg6RIT09PRGx7/w8HAIgtAqfWD6amtrUVpaqve+bE1lZWX45ptvMGbMGISEhFikD5Zw9epVHDhwQDr+9e/fHw4ODrLHycvLQ8eOHWXfr6nUanWjY3BZWRmOHTsGlUqFHj16oEOHDmbvx6VLl/SOf2FhYWZ53ZvCx0DrY+ljoFUgxppQWVlJY8aMIUEQyMnJiQYOHEgzZsygefPm0YwZM2jgwIHk5OREoijS6NGjqbKy0qL9XbNmDQ0fPlzWfd53330kiqL0ExoaSrt27WrUbu3atSSKoqyx8/LyKDAwkARBIEEQSBRF+uabb+iTTz4hQRCoU6dO5OXlRYIgUGBgIBUVFckaXxdTFEW9/xv60d0vt8GDB9P27dul23V1dTR58mQpZv3X5p577pE9fkJCAs2ePVu6vW3bNlIoFGRjY0NDhw6lWbNm0aBBg0ihUJCrqyudPHlS1vj1X/d+/frRZ599RqWlpbLGaM62bdtIEASytbUlFxcXcnZ2piNHjpCvry95eHjQ7bffTgkJCeTs7ExKpZL27Nkja/y6ujqaM2dOo9+3ra0t9enTh/z8/EgQBPL09KQtW7bIGru+06dP04QJE0ipVBp87ymVSho/fjydOnXKbH0wxuuvv26Wv8P8/Hx66qmnKCEhgebNm6f3N1nfxo0bqXPnzrLH//rrr6l79+4UFBREDzzwAFVVVVFJSQkNGTJE+vtwcXGhFStWyB67Jenp6SSKIm3YsMEs+z937hxVVFQ02jZt2jRydnYmURTJ1dWV5s6dSxcvXpQ9/sqVK+nFF1+UbqtUKpo/f77esV8QBLKxsdFrJxdBEMjPz4+eeuopOn36tOz7b0llZSWNGzdOer6PPvooERG9/fbbZGNjo/f5N3v2bFKpVLL3ITs7m+666y5ydHQ0+PkbHh5OK1eulD2uTkFBAf3rX/8iT09Pg/E7dOhADz74IOXn55utD8Z4/fXXSaFQyL7fqqoq+uijj+iBBx6gF198scn34fbt22X/DkpEtGfPHpo4cSINGTKE3nrrLdJoNFRdXU133XWX9JkUHh5u1s/Appj7+KdWqxttu3z5Mj355JMUExNDvr6+1L17d3r++efN8t3o559/pg8//FBv28svv9zob9HDw8Msf4OiKFKvXr3oo48+opKSEtn33xK1Wk3//Oc/yc7OjlxcXOjdd98lIqJvvvmG3N3dpedva2tL//73v83Sh7KyMnrhhRcoJCSk0bHHxsaGRo4cSb/99ptZYuvwMZCPgdaMk3msSU899RTZ2NjQsmXLqLq62mCb6upq+uCDD8jGxoaefvrpVu6hPrlPZNeuXUuCINCwYcNo2bJl9PTTT5OHhwcplUpatWpVo7Zyn0Q//vjj5OzsTN9//z0dPHiQevXqRaGhoRQbG6uXNPnmm29IoVDI/vrrEjivvvoqrV69utHPW2+9RYIg0EMPPSRtk5sgCPTVV19Jt1977TUSBIHmzJlDKSkpVFFRQcnJyZSYmEiiKMreBz8/P3rnnXek2z179qSgoCA6e/asXrtjx46Rp6cnTZ48Wdb4giDQ/fffT5MmTZJOHJ2cnOjuu++WPXFmyNixY6lLly5UVFREKpWK5syZQ0FBQRQZGUmFhYVSu/Pnz5Ofnx8lJCTIGv+NN94ghUJBb7/9NuXl5VFpaSlt3LiRAgIC6OWXXyYiouTkZBo+fDjZ29vTiRMnZI1PRPT333+Tq6srubq60r333kvLly+nzZs3086dO2nz5s20fPlyWrBggdTm+PHjsvfBWOZI5l26dIk6derUKIG5YMECqq2t1WtrjuPg7t27SRAE8vX1pa5du5IoivTAAw/QvHnzqGvXrvTCCy/Qk08+SYGBgSSKIv3++++yxp8yZUqzP7oLXn379qUpU6bQ1KlTZY0viqLeMfDcuXPSRZz4+HiaPn063XbbbSQIAgUFBcl+UScuLo6eeOIJ6fZzzz1HgiDQ8OHD6fPPP6etW7fSihUrqE+fPiSKouwntLrkve59N2DAAFqxYgWVlZXJGqcpus+5yZMn0wMPPECOjo70n//8R/ocWr9+PX377bc0YcIEEkWR3n77bVnjZ2RkkJ+fHzk6OtLYsWNp6tSpFBAQQHZ2dvTSSy/Rs88+Sz169CBRFOnuu++WNTYR0YULF6hTp06kUCho5MiRtHjxYvr4449p1apV9PHHH9PixYtpxIgRpFAoKDAwkDIzM2Xvg7HMcfwrLy+n7t27N0pcv/rqq43amuP4l5ycTLa2tmRjY0Ourq4kiiI9//zz9Oijj5Kvry/dddddNG3aNHJ1dSU7OzvZP38ef/zxZn8WLFhAgiDQ7bffTo8//rjesUIODY9/hYWFFBYWRoIgkI+PD8XHx5OnpycJgkA9evRodOHjZvXv358efPBB6fbSpUtJEASKiIigl156if7v//6PFi9eTJ06dSJRFOnnn3+WNX79z10HBweaM2eO2RNX9ekGD8TFxVFCQgIplUr64osvyMbGhgYOHEjvvPMOvfXWW9IxSO4LaoWFhRQdHU2iKFJkZCTFxcWRo6Mj2dnZ0YMPPkgzZ84kHx8fEkXRLBeTiPgYeKsfA9sCTuaxJnXq1IkWLVpkVNsnnniCOnXqZOYeNU/ug1j//v1p0KBBettyc3Np4MCBpFAo6KOPPpK2m+MAFhUVJY0CICL69ddfSRAEWrx4caO2M2fOpJiYGFnjnzp1igYPHkzOzs703//+l+rq6vTuT09PJ0EQaP369bLGra9hMi84OJhGjhzZqJ1araYePXo0+n3dLDs7O/r888+JiKimpoYEQaBPP/3UYNuXX36Z3N3dZY1f//kXFhbSkiVLKCYmRjqxDQ8PpzfffJNycnJkjavTsWNHeuutt6Tbx44dI0EQ6LPPPmvU9uWXXyYPDw9Z40dERNDChQsbbV+/fj3Z29tLV6pra2spJiaGZsyYIWt8IqLx48dTeHh4i69xTk4OhYWF0YQJE2SNf/z4caN/HnroIbNcVLCxsaFVq1ZRWVkZnTp1imbMmEGCINCYMWOoqqpKamuO4+CECRMoJiZGOkl75JFHyNHRkfr166cXu6ioiHx8fGjatGmyxtf9rdU/qWr4U/9+uZ9/w2Pg9OnTyc7OjrZt26bXbt26dSSKouwn066urvTJJ59It729vQ1etFCr1TRw4EDq0aOHrPEFQaAvvviCNm7cSBMnTpQuajg7O9M999xD+/btkzVeQ927d6c77rhDuv3ZZ5+RUqmkOXPmNGo7bNgwio2NlTX+zJkzyd/fX+8EsaqqihITE2no0KF6/RJFUfq8kjO+r68vHTt2rNl2x44dI19fX5o1a5as8a9evWr0z/PPPy/7398rr7wiJQpOnDhBmzdvpv79+5MoijR//nzSaDRSW3Mc/2bMmEEhISGUn59PKpWKZs2aRR4eHtSzZ0+9xH1aWhq5urrSvHnzZI1vbce/e++9l0RR1PsOotFo6L///S8JgiBd5JOLh4cHLVu2TLodGBhIQ4YMafR9uLy8nLp160b9+/eXNb4gCPT+++/Te++9R927d5de45CQEHrllVfowoULssZrqHfv3nrfud98803pwkJ9KpWKevbsSfHx8bLGX7hwIbm5udGBAwekbfn5+TRgwADpwlldXR0999xzJIoibdy4Udb4RHwMvNWPgW0BJ/NYk+zs7Iy+yrJixQqyt7eXvQ89e/Y0+sff31/Wg4inpyd98MEHjbbX1NTQxIkTSRRFWrp0KRGZ5wDm6OhIy5cvl27n5OSQIAgGP6yWLl1KTk5OssbXWbFiBXl6elJUVBTt2LFD2t7aybzKykoSBKHJkR9vvPEGubm5yRq/c+fO9MorrxCR9vcuiiJ9//33BtsuW7aMHB0dZY3f8IuszqFDh+j+++8nd3d3EgSBlEolTZgwQfbfhaOjo97rffHiRRIEgX766adGbT/99FNycHCQNb6dnZ3BxGFWVhYJgkB//PGHtO2tt94iHx8fWeMTEbm5udF7771nVNulS5fK/h5saYq7uae7R0dH0z//+c9G25ctW0YKhYKGDRsmJdrMcRwMDAyk//73v9Ltv//+mwRBoP/7v/9r1Papp56igIAAWePrLmgsWbLE4BTKs2fPmvU42PAY4Ozs3GTCbs6cOdSlSxdZ4zs7O0ufQ2VlZSQIQrPHQLm/BzR8/gUFBfS///2PunbtKr3fu3TpQm+99Rbl5eXJGptIm8ys/17LzMxs8jVYtmyZ7MdALy8veuONNxpt/+uvv0gURb1R4tOnT6e+ffvKGt/T01Pv7685//nPf6hDhw6yxjfl+Kf7kVP37t3pzjvv1NumVqtp0aJFJAgCzZ49W5oKao7jny5po/PXX3+RIAgGP5MeeughCgkJkTV+eHg4ubi40JIlSygzM7PRj27k9P/93/9J2+TU8O/fw8OD7rvvPoNtExMTZU+mOzo6SjNxysvLSRAE+vrrrw22feedd8z+HfDIkSP0r3/9izp06ECCIJBCoaAxY8bQt99+SzU1NbLGJtK+3vUHLui+9xt6Dd555x3Zz0P8/Pzo+eefb7R93759JIoiZWVlSdvGjh1Lw4YNkzU+ER8Db/VjYFvABTBYkzp37oytW7fi3nvvbbHt5s2bzbL47bFjx+Ds7GzU4vJVVVWyxlar1QYXFre1tcWGDRswe/ZsLFq0CLW1tQgICJA1ti5OXV2ddNvOzg4A4OLi0qitk5MTNBqN7H0AgHvvvReTJk3CokWLMGrUKMyaNQvvvvuuWWI1RxS1xbd9fX0N3u/j44Pq6mpZYyYmJmL16tVYtGgRnJycMHDgQKxZswbTpk3Ta6dWq7Fu3Tp069ZN1vhNiY+PR3x8PN577z2sX78en3/+ObZs2YItW7bIWl22U6dOOHHihHRb9/+DBw82Knayf/9+2QsvdOjQAampqY22p6amQhAEODk5Sdu8vLxQWloqa3xAW7HX2IWNBUGQ/e/Q1tYWUVFRmDJlSott9+7di927d8sa/8KFC+jdu3ej7Q899BC8vLwwb948jB07Flu2bJE1rk5RUZHe37yfnx8A7edTQxERESgqKpI1/t69e7Fy5Uo888wz+OKLL/DRRx9h8ODB0v2tueh1WVkZKioqMHDgQIP3DxgwABs2bJA1ZkxMDA4cOID77rsPzs7OcHZ2xuXLlw22LS4uhrOzs6zxG/Lx8cGTTz6JJ598EgcPHsSqVavw7bff4tlnn8Xzzz+PcePGtVi8yRQ2NjZ6x1SVSgUAep/NOnV1dXB0dJQtNgCUl5fDw8Oj0XYPDw8QEfLz8xEeHg4AGDVqFBYtWiRr/Orqari5uRnV1s3NDTU1NbLGVygU6Ny5c5Pv+fr+/vtvHDt2TNb4GRkZeOihh/S2iaKIJUuWwMfHB88++yzq6uqwbt06WePq5OXl6X2u6orMREZGNmobExOD5cuXyxr/5MmTeP3117F48WL89ttv+PDDDxEWFibdr/t78Pb2RnBwsKyxGyovL8eVK1cwcuRIg/ePHDkSixcvljVmREQEjh8/DgBwcHBo9L28vrq6Otja2soav6G4uDjExcXh3XffxYYNG/D5559jx44d+O233+Dh4YE5c+bggw8+kC2eRqPRK3yhK3ZnY2PTqK2tra3BAoE3o6SkBIGBgY22BwYGgohw4cIF6W9i4sSJeO6552SND/Ax8FY/BrYJls4mMuv17rvvkiAINH36dPrjjz8arY9UW1tL+/bto2nTppEoitLCqHIKCQmhcePGGdX2tddek/WKQM+ePemBBx5o8n61Wk2zZ88mURSpb9++sl+N6Nq1q96CsjU1NbR69WqDC6w+99xzFBQUJGt8Q3bu3EmRkZHk6upKjz/+OImiaPaReXfccQe98sor9Morr5Crq6veVcL6XnzxRerYsaOs8YuKiiggIIDi4uIoKSmJ9u7dSz4+PjRs2DBauXIlJSUl0aeffkrx8fEkiiJ99913ssZvamSeIZmZmXpXr+Tw5JNPkqOjIy1btox++OEHioiIoMDAQBozZgytWLGCSkpK6NKlS/TOO++QUqmk+++/X9b499xzD9nb29MPP/wgbTtx4gRFR0eTr6+v3uLYugWS5TZy5EgKDw9vcdRPXl4ehYWFGZwGfjN69epFvXv3NqqtOdZLCQgIoCVLljR5//r168nW1pb69etHH374oezxfX199T5bLl26RIIg6I0S1lm6dKnsU911CgsL6a677iJRFGnevHlUUFBAROYfoVx/FIRGoyFHR8cmjzMffPABOTs7yxpfN+pet0bnI488Qp06dWq0bmhycjJ16NBB9ilGxhwDq6qqpAJYci/+3b9/fxo1apR0W7eG3pQpU/TaqVQqiouLk32aWbdu3WjMmDGNtr/77rskiqLeNLsPP/yQXF1dZY3fv39/6tWrV4sFzioqKqhnz56yTzOMjY2lgQMHGtXWHMc/Pz8/ev/995u8//333ydBEGjSpEm0cuVK2eN7e3vrjUBp7vi3bNkycnFxkTW+zqlTp2jIkCFkb29PL774orSOdmse/1QqFdna2jZZbOPjjz+WfWTc//73P3J1daXU1FQiIpo7dy7FxMQ0KkaRm5tLQUFBsi+zYczxLzs7m1577TUKCwuT/f0XFxent3zJihUrSBAEg1MZR4wYIfsyCxEREQaXT1m1alWjkcmffPKJ7J9/RHwM5GOg9eNkHmuSRqOhRx55RBq2q1Qqyc/Pj4KDg8nPz0+qICOKIj388MN68+blMm3aNPL29jaqrdwHsSeeeIJ8fHwaJTHr02g0NG/ePLNMb5s7d67RQ8Z79+4te/GFptTU1NDLL79M9vb2rTLNtuFP/ROr+kaPHm2WKkrp6enUt29fg2vD6G67uLjQxx9/LHtsU5J55nDp0iXq0qWL3qK3P/74I+3du1dau0r3GnTo0EH2apo5OTkUEBAgFf7QVRJTKBS0bt06vbYxMTGyJxKIiPbv30/29vbk5uZGCxcupJUrV9LWrVtp165dtHXrVlq5ciXdd9995ObmRvb29rR//35Z4//jH/8ge3v7Zo9DOub4Ijd69GhKTExsts1PP/1EdnZ2UnVzOQ0cOJD+8Y9/GNX2gQceoG7duskavyHdBQ13d3f68MMP6cyZM2Y/mfXx8aHOnTtT586dydbW1uC0IyKixx57jMLDw2Xvw+zZs8nGxoamT59O//nPf8jHx4dsbGxo8ODBNH36dOrfvz8pFAry9fWljIwMWWObegyUe5qfrhBWfHw8JSYmklKppFGjRtE//vEPGjx4MC1dupSWLFlCcXFxJIqi7J8D7733nlRg4Ntvv6VNmzbRokWLyM7OjoYMGaLX9r777qOePXvKGj8pKYlEUaTOnTvTG2+8QTt27KDU1FQ6f/48paam0o4dO+j111+nkJAQUigUlJSUJGv8+fPnk5OTk8Gqpg2Z4/g3ePDgFtdi/eijj0gURfL29pY9fnx8PD388MPSbY1GQ5mZmQaL0j322GMUGRkpa/yGVq1aRV5eXhQaGkq//PJLqyTzunbtSsOHD6fhw4eTo6OjwWnnRERPP/00BQcHyxq/traWhg0bRm5ubvTUU0/RqlWryMfHhzw8POiuu+6ip556imbPnk3Ozs7k5OREycnJssY39fgnd2G0ZcuWSRfVH3roIXJ0dKTevXvT7Nmz6c4776Qff/yRfvjhB2npoaZ+NzfqxRdfJFEU6aGHHqKDBw/SiRMnaNmyZeTu7k7du3fXa/vwww/LvnY4ER8D+Rho/TiZx1qUkpJCixcvprFjx1JsbCyFhYVRbGwsjR07lp5//nmzVJDUefPNN0kQBDp//nyLbdesWSPreglHjx6lWbNmtXhyrtFo6IknnpB9rYasrCw6fPhwi+0KCgpo/vz59Msvv8gavyV5eXl07Ngxunr1qtliGFqjpf4aGTrFxcU0derURlWG5bRz50565plnaMqUKTRq1Ci6/fbb6Z///CetWrWKiouLzRLz5ZdfNuvflzGqqqro+++/pxUrVlB6erq0/eDBgzRv3jwaO3YsPf7442ar4JWXl0cPP/wwde/enaKiomjq1KkGv7CWl5cblfC6Efv376f4+PhGidz6yd34+Hj6888/ZY/966+/0vz58yk3N7fFtn///bfsFZ2XLl1KSqWyxWNwUlIS2dnZmWXx5ZaSiUTayupeXl4G1/eTW01NDb300ktkb29PoaGhZh2hPHToUBo2bJjez4IFCxq1U6vVFBYWRjNnzjRLPz7++GPq3LmzwQssuiqL5jgGWPqCBhHR888/Ty4uLqRQKGj48OGUm5tLJSUlFBcXp/c6TJkyxeC6ijdDo9HQPffc0+gCUnR0dKPF7++7774mCzTdjPXr15O/v3+TazcJgkD+/v5NrqV4M7777jsaNmwYZWdnt9h27969shdAeOONN8jBwUGvershy5cvN8t6VQ899BD16dOnxXYqlYo6depE8+fPlzW+IZcuXaK7776bRFFbXdqcx7/g4GAKCQnR+2nq8yA2NpYmTZokex+qq6vp6aefJhcXlyaLgQwYMID++usv2WNb+vhXV1dHc+fOlZ53REQEnT59mrKzs6UK8rr74uPjWxy9ZqqamhoaNWpUo+Ofj49Po6qlEyZMoNdee03W+Dp8DORjoDUTiIgsPdWXMcYYs3bnzp3D4cOHkZubi8rKSjg6OsLf3x/x8fF66wi1J1euXMHBgwfRtWtXaa2Spvz1119ISUnB3Xff3Uq9u66srAxHjx5FeHi4WdYwNSQtLQ1PPvkksrOz8c4772DEiBGtEteQ0tJS7Nq1C5GRkYiKijJbnNTUVKSlpaGsrAwODg4ICAhA9+7d4eDgYJZ4Fy5cgLe3t+xr0ZmKiKBSqfTWitJoNNi7dy/y8/PRtWtXdO/e3Wzxk5OTsXv3btTW1qJr165ISEiQfX2q5qhUKuzevRt//fWXwePf0KFDW7U/rSU3NxebNm3C0KFDW/y7+umnn3Ds2DG89NJLrdS76y5fvoxNmzYhPj4eXbt2bZWYu3fvxiOPPILs7GysWbMGiYmJrRLXkJKSEnz55ZeIj4/HgAEDzBKjvLwc+/bta3T869Onj8E1XOWwZ88eREdHw8fHxyz7N1ZRURFKS0vRuXNnaf3q8vJyfP/99ygoKEDXrl0xYcIEvfX15EJE+PHHH7Fnzx7p+Dd37lyDa4maEx8D+RhorTiZxxhjjDHGGGOMMcZYGyFaugOMMcYYY4wx63Tq1Cl899132LVrl1TBtKETJ07g1Vdf5fgcn+Nz/HYVv7i4GEuXLsVLL72EQ4cOSdtXrVqFwYMHo1u3brjvvvuQnZ1t9vgHDx7k+K0c3+pZco4vY4wx1l7oKmpyfI7P8Tl+e4l/33336a0PFRoaSrt27WrUbu3atbKvl8TxOT7H5/iWjJ+Xl0eBgYF6ayZ/88039Mknn5AgCNSpUyfy8vIiQRAoMDCQioqKOH47it8W8Mg8xhhjTAYXLlzAnj17OD7H5/gcv13E/+qrr7By5UoMGTIE77//Pp588kmUlJRg9OjR+Pzzz2WNxfE5Psfn+NYUHwDefvttXLlyBd999x0OHDiAnj17YvHixfj444+xe/duZGVloaioCF9//TXy8vLwv//9j+O3o/htgqWziYwxxlh78Prrr5vlyjDH5/gcn+NbIn7//v1p0KBBettyc3Np4MCBpFAo6KOPPpK2m2NkDMfn+Byf41sqPhFRVFQUPfroo9LtX3/9lQRBoMWLFzdqO3PmTIqJieH47Sh+W9D+yq4wxhhjMomLizO6bUFBAcfn+Byf47eb+GlpaY0qE3bs2BE7d+7E9OnT8fDDD6O2thaPPfaY7LE5Psfn+BzfkvEBICsrC926dZNux8TEAADi4+Mbte3Xrx9++eUXjt+O4rcFnMxjjDHGmnDs2DE4OzvD09OzxbZVVVUcn+NzfI7fbuKr1WrY29s32m5ra4sNGzZg9uzZWLRoEWpraxEQEMDxOT7H5/jtJr4uVl1dnXTbzs4OAODi4tKorZOTEzQaDcdvR/HbBEsPDWSMMcasVUhICI0bN86otq+99prs0zw4Psfn+BzfUvF79uxJDzzwQJP3q9Vqmj17NomiSH379uX4HJ/jc/x2E5+IqGvXrvTvf/9bul1TU0OrV6+m/Pz8Rm2fe+45CgoK4vjtKH5bwAUwGGOMsSb07t0bR44cMaqtIAgcn+NzfI7fbuIPHz4c69ev1xsZUZ8oivjqq68wd+5cHDp0iONzfI7P8dtNfEC71MH+/ful27a2trj77rvh6+vbqO2vv/5q0tIIHN/647cFPM2WMcYYa0JcXBzWr1+PzMxMhISENNs2ODgYQ4YM4fgcn+Nz/HYRf+7cucjNzcWRI0fQr18/g20EQcDq1avh5eWFo0ePcnyOz/E5fruIDwBvvvmmUeuRFhYWolu3bpg2bRrHb0fx2wKBiMjSnWCMMcYYY4wxxhhjjLWMp9kyxhhjjDHGGGOMMdZGcDKPMcYYY4wxxhhjjLE2gpN5jDHGGGOMMcYYY4y1EZzMY4wxxhhjjDHGGGOsjeBkHmOMMcYYY4wxxhhjbQQn8xhjjDHGmNUZNmwYQkJCLN0NxhhjjDGrw8k8xhhjjDHWpN27d0MQBAiCgLVr1za6PzMzE4Ig4LHHHmv9zjHGGGOM3YI4mccYY4wxxozy4osvoq6uztLdYIwxxhi7pXEyjzHGGGOMtah37944f/48Pv30U0t3hTHGGGPslsbJPMYYY4wx1qLZs2cjNjYWr7/+OioqKpptq1Kp8N///hfR0dGws7ODt7c3Zs6cibNnzzZqW1JSgoULF8LLywtOTk4YNmwYjhw50uS+Dx48iIkTJ6JDhw6ws7NDTEwMli1bBiK66efIGGOMMdYWcDKPMcYYY4y1SBRFvPHGGygoKMDSpUubbXvnnXfi3//+N0JCQvDOO+/g3nvvxebNm9GnTx+kpaVJ7erq6jB27FisWLECiYmJWLJkCbp06YJRo0bh4sWLjfa7adMmDB48GFlZWXjmmWfw3nvvITo6Go888ggWLVok+3NmjDHGGLNGSkt3gDHGGGOMtQ233347Bg4ciCVLluDBBx9Ehw4dGrXZvn07vvvuO8yZMwdr166FIAgAgMmTJ2PAgAFYtGgRNm3aBAD4/PPPcfjwYbz66qt44YUXpH107doVjz/+OIKDg6VtVVVVuPfeezFkyBBs27YNCoUCAPDAAw/giSeewPvvv49//etfCAsLM+dLwBhjjDFmcTwyjzHGGGOMGe0///kPrl69ijfffNPg/T/++CMAYPHixVIiDwD69euHkSNHYuvWraiqqgIAbNy4ETY2Nnj88cf19vHAAw/A1dVVb9tvv/2GoqIizJ8/HyUlJbh06ZL0M378eGg0GuzYsUPOp8oYY4wxZpU4mccYY4wxxow2ePBgjB8/Hh999JHBqbDnz5+HUqlEZGRko/tiYmKgUqmQnZ0NAMjIyEBAQACcnZ312tnZ2SE0NFRv2+nTpwEAd911F7y9vfV+Ro8eDQAoKCiQ5TkyxhhjjFkznmbLGGOMMcZM8uabb6Jnz554+eWX8fzzz7dKTI1GAwB49913ERsba7BNwwQgY4wxxlh7xMk8xhhjjDFmkh49emD27NlYvXo1pk+frndfaGgoVCoV0tLSEB0drXffqVOnYGNjg06dOkltf/vtN5SXl+uNzqupqUFGRgY8PDykbREREQAAFxcXjBo1ylxPjTHGGGPM6vE0W8YYY4wxZrLXXnsNoig2Gpk3efJkAMBbb72lt/3QoUP47bffMHbsWDg4OAAAJk2ahLq6ukbVcT/55BOUlpbqbRs3bhy8vLzw3//+F1evXm3Un6tXr6KmpuZmnxZjjDHGmNXjkXmMMcYYY8xkoaGhWLhwIT7++GO97aNHj8aMGTPwxRdf4NKlS0hISMDFixfx4Ycfws3NDe+8847U9p577sFnn32GF198EefOnUPfvn2RnJyM77//HmFhYVCpVFJbJycnfPHFF5g6dSqioqJwzz33oHPnziguLsbJkyfx448/IiUlBSEhIa31EjDGGGOMWQSPzGOMMcYYYzfkhRdegJOTU6PtX331Fd58802kp6fjiSeewPLly5GQkICDBw+iS5cuUjtbW1ts374dCxYswKZNm/Dkk08iLS0N27dvR2BgYKP9jh8/HocOHcKwYcOwatUq/Otf/8L777+P7OxsvPrqq/Dz8zPr82WMMcYYswYCEZGlO8EYY4wxxhhjjDHGGGsZj8xjjDHGGGOMMcYYY6yN4GQeY4wxxhhjjDHGGGNtBCfzGGOMMcYYY4wxxhhrIziZxxhjjDHGGGOMMcZYG8HJPMYYY4wxxhhjjDHG2ghO5jHGGGOMMcYYY4wx1kZwMo8xxhhjjDHGGGOMsTaCk3mMMcYYY4wxxhhjjLURnMxjjDHGGGOMMcYYY6yN4GQeY4wxxhhjjDHGGGNtBCfzGGOMMcYYY4wxxhhrIziZxxhjjDHGGGOMMcZYG8HJPMYYY4wxxhhjjDHG2ghO5jHGGGOMMcYYY4wx1kZwMo8xxhhjjDHGGGOMsTaCk3mMMcYYY4wxxhhjjLUR/w9liV8oUb/yJAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compare the results with NetworkX's built-in PageRank algorithm\n", "pagerank = nx.pagerank(graph)\n", "\n", "# Plot the results\n", "plt.figure(figsize=(10, 4), dpi=128)\n", "\n", "labels = list(pagerank.keys())\n", "plt.plot(labels, [pagerank[n] for n in labels],\n", " '-o',\n", " color='#8C8C8C',\n", " label='PageRank')\n", "plt.plot(labels, [pagerank_cw[n] for n in labels],\n", " '-o',\n", " color='#FAC200',\n", " label='Classical Walk')\n", "plt.plot(labels, [pagerank_qsw[n] for n in labels],\n", " '-o',\n", " color='#76B900',\n", " label='Quantum Stochastic Walk (Quantum PageRank)')\n", "\n", "plt.xlabel('Node')\n", "plt.ylabel('Score')\n", "plt.title('Ranking Comparison')\n", "plt.legend()\n", "plt.xticks(labels, rotation=90)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the ranking results obtained by the Quantum PageRank algorithm show smoother ranking distribution, which reduces the dominance of major hubs, allowing less connected nodes to be fairly recognized. This facilitates the identification of secondary hubs and reveals finer structural details within the network, offering a more nuanced and continuous scale of node importance for complex networks.\n", "\n", "---\n", "\n", "Finally, let's visualize the ranking results, representing the influence of each node, from the Quantum PageRank using the `CUDA-Q Dynamic` simulation:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Scale the node sizes\n", "node_weights = np.array(list(pagerank_qsw.values()))\n", "node_sizes = node_weights * 20000 # Scale factor for visualization\n", "\n", "# Draw the graph with node sizes corresponding to the importance of the nodes\n", "pos = nx.spring_layout(graph, seed=42)\n", "nx.draw(graph,\n", " pos,\n", " node_size=node_sizes,\n", " with_labels=True,\n", " node_color='#76B900')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CUDA-Q Version cu12-0.10.0 (https://github.com/NVIDIA/cuda-quantum 857dd2ce0a783c32416af8fba8664ff30f9ddc47)\n" ] } ], "source": [ "print(cudaq.__version__)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 4 }