{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_cell" ] }, "outputs": [], "source": [ "from datascience import *\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "from utils import *\n", "plt.style.use('seaborn-v0_8-muted')\n", "from matplotlib import patches\n", "from csaps import csaps\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Supply Curve\n", "\n", "The supply of a commodity refers to the quantity for which producers or sellers are willing to produce and offer for sale, at a particular price in some given period of time. To answer questions like _\"at a given price, what will be the supply of a good in the market?\"_, we need to know the market supply curve. A supply curve is simply a curve (or graph) which shows the quantites of a good that can be produced and the prices they will be sold at.\n", "\n", "It is good to discern between individual and market supply. **Individual supply** refers to the supply offered by a single firm or producer, while **market supply** refers to the supply offered by all the firms or producers in a market. It is the horizontal summation of the individual supply curves in the market.\n", "\n", "The following table and graph will give an example of a market with two firms: A and B.\n", "\n", "[Following image is a graph of horizontal supply addition]" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Price Quantity supplied by A Quantity supplied by B Market Supply
2 20 30 50
3 30 40 70
4 40 50 90
" ], "text/plain": [ "Price | Quantity supplied by A | Quantity supplied by B | Market Supply\n", "2 | 20 | 30 | 50\n", "3 | 30 | 40 | 70\n", "4 | 40 | 50 | 90" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "market_supply = Table().with_columns(\n", " \"Price\", make_array(2, 3, 4),\n", " \"Quantity supplied by A\", make_array(20, 30, 40),\n", " \"Quantity supplied by B\", make_array(30, 40, 50),\n", " \"Market Supply\", make_array(50, 70, 90)\n", ")\n", "market_supply" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[7,7])\n", "plt.plot(market_supply.column(1), market_supply.column(0), marker='o')\n", "plt.plot(market_supply.column(2), market_supply.column(0), marker='^', color=\"#049348\")\n", "plt.plot(market_supply.column(3), market_supply.column(0), marker='*', color=\"red\")\n", "plt.xlabel('Quantity')\n", "plt.ylabel('Price')\n", "plt.title('Market Supply')\n", "plt.legend(make_array(\"Quantity supplied by A\",\"Quantity supplied by B\",\"Market Supply\"), bbox_to_anchor=(1.04,1), loc=\"center left\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Market behavior relating to supply is based on the behavior of the individual firms that comprise it. Now, how does an individual firm make its decision about production? It does so based on the costs associated with production. If the price of a good is enough to recover the costs, the firm produces. Generally, costs increase with the quantity of production. So, to induce producers to increase the quantity supplied, the market prices need to be high enough to compensate for the increased costs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Costs\n", "\n", "We will split costs into two categories: fixed costs and variable costs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{admonition} Definition\n", "**Fixed costs** are costs associated with fixed factors (or inputs) of production. For example, land for a factory, capital equipment like machinery, etc. The quantity of these inputs cannot be changed quickly in the short term. A factory owner cannot purchase land quickly enough to ramp up production in a week. A key point to note is that fixed costs are irrespective of the quantity, i.e., they do not change with the quantity produced.\n", "\n", "**Variable costs** are costs associated with variable factors (or inputs) of production. For example, labor, raw materials, etc. The quantity of these inputs can be changed quickly in the short term to adjust supply. A factory owner can hire more laborers or purchase more raw material to increase output. Variable costs change as the supply changes.\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another important cost calculation to consider is the marginal cost." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```{admonition} Definition\n", "The **marginal cost** is the additional cost to produce one more unit of output. It can be calculated as the difference between the total cost and the current level of output and the total cost at the previous level of output.\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below is a table with the following costs incurred by the firm:\n", "\n", "* **Output:** Units produced and supplied\n", "* **Total Fixed Cost (TFC):** Cost incurred by firm on usage of all fixed factors.\n", "* **Total Variable Cost (TVC):** Cost incurred by firm on usage of all variable factors.\n", "* **Total Cost (TC):** Sum of the total fixed and variable costs.\n", "* **Marginal Cost (MC)**\n", "* **Average Fixed Cost (AFC):** Cost per unit of fixed factors. It can be calculated as the Total Fixed Cost divided by the corresponding output level. \n", "* **Average Variable Cost (AVC):** Cost per unit of variable factors. It can be calculated as the Total Variable Cost divided by the corresponding output level. \n", "* **Average Total Cost (ATC):** Total cost per unit. This is the sum of the Average Fixed Cost and the Average Variable Cost." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Output Total Fixed Cost Total Variable Cost Total Cost Average Fixed Cost Average Variable Cost Average Total Cost Marginal Cost
0 50 0 50 0 0 0 0
1 50 50 100 50 50 100 50
2 50 78 128 25 39 64 28
3 50 98 148 16.6667 32.6667 49.3333 20
4 50 112 162 12.5 28 40.5 14
5 50 130 180 10 26 36 18
6 50 150 200 8.33333 25 33.3333 20
7 50 175 225 7.14286 25 32.1429 25
8 50 204 254 6.25 25.5 31.75 29
9 50 242 292 5.55556 26.8889 32.4444 38
10 50 300 350 5 30 35 58
11 50 385 435 4.54545 35 39.5455 85
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "individual_firm_costs = Table.read_table('supply_textbook.csv')\n", "individual_firm_costs.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's create some visualizations to understand the relationships of the different cost curves.\n", "\n", "[Following image is a graph of Total, Fixed and Variable Costs]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[7,7])\n", "plt.plot(individual_firm_costs.column(\"Output\"), individual_firm_costs.column(\"Total Fixed Cost\"), marker='o')\n", "plt.plot(individual_firm_costs.column(\"Output\"), individual_firm_costs.column(\"Total Variable Cost\"), marker='^', color=\"#049348\")\n", "plt.plot(individual_firm_costs.column(\"Output\"), individual_firm_costs.column(\"Total Cost\"), marker='*', color=\"red\")\n", "plt.xlabel('Quantity')\n", "plt.ylabel('Cost')\n", "plt.title('TFC, TVC and TC')\n", "plt.legend(make_array(\"Total Fixed Cost\",\"Total Variable Cost\",\"Total Cost\"))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two important things to notice about the graph above. First, the total fixed cost is flat. This is because the fixed cost does not change regardless of quantity produced. Second, the vertical difference between the total variable cost and total cost is the TFC. This is because $\\text{TC} = \\text{TVC} + \\text{TFC}$.\n", "\n", "[Following image is a graph of Average Total, Fixed, and Variable Costs]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[7,7])\n", "plt.plot(individual_firm_costs.column(\"Output\")[1:], individual_firm_costs.column(\"Average Fixed Cost\")[1:], marker='o')\n", "plt.plot(individual_firm_costs.column(\"Output\")[1:], individual_firm_costs.column(\"Average Variable Cost\")[1:], marker='^', color=\"#049348\")\n", "plt.plot(individual_firm_costs.column(\"Output\")[1:], individual_firm_costs.column(\"Average Total Cost\")[1:], marker='*', color=\"red\")\n", "plt.xlabel('Quantity')\n", "plt.ylabel('Cost')\n", "plt.title('AFC, AVC and ATC')\n", "plt.legend(make_array(\"Average Fixed Cost\",\"Average Variable Cost\",\"Average Total Cost\"))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the graph above, note that:\n", "\n", "- The average fixed cost is decreasing throughout. This is because at higher levels of production, the fixed cost is divided across more units. This implies that the difference between the ATC and AVC decreases as we increase production, since $\\text{ATC} = \\text{AVC} + \\text{AFC}$.\n", "- The AVC and ATC slope down initially and then slope up. This represents decreasing and then increasing marginal cost. Marginal cost initially decreases due to efficiencies in producing at scale, but then increases due to the law of variable proportions. \n", "\n", "Now let's introduce the marginal cost curve:\n", "\n", "[Following image is a graph of Average Total and Variable Cost and Marginal Cost]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "output = individual_firm_costs.column(\"Output\")[1:]\n", "mc = individual_firm_costs.column(\"Marginal Cost\")[1:]\n", "avc = individual_firm_costs.column(\"Average Variable Cost\")[1:]\n", "atc = individual_firm_costs.column(\"Average Total Cost\")[1:]\n", "\n", "sp_mc = csaps(output, mc, smooth=0.85) #slightly different command\n", "sp_avc = csaps(output, avc, smooth=0.85)\n", "sp_atc = csaps(output, atc, smooth=0.85)\n", "\n", "output_s = np.linspace(output.min(), output.max(), 150)\n", "mc_s = sp_mc(output_s)\n", "avc_s = sp_avc(output_s)\n", "atc_s = sp_atc(output_s)\n", "\n", "plt.figure(figsize=[7,7])\n", "plt.plot(output, mc, marker = 'o', color = 'tab:blue')\n", "plt.plot(output_s, mc_s, alpha=0.7, lw = 2, label='_nolegend_', color = 'tab:blue')\n", "plt.plot(output, avc, marker = '^', color = '#2D8A3E')\n", "plt.plot(output_s, avc_s, alpha=0.7, lw = 2, label='_nolegend_', color = '#2D8A3E')\n", "plt.plot(output, atc, marker = '*', color = '#CB7432')\n", "plt.plot(output_s, atc_s, alpha=0.7, lw = 2, label='_nolegend_', color = '#CB7432')\n", "plt.hlines(y=min(avc), xmin = 6, xmax = 8, lw=3, color='b', zorder = 10)\n", "plt.hlines(y=min(atc), xmin = 7.5, xmax = 9.5, lw=3, color='b', zorder = 10)\n", "plt.xlabel('Quantity')\n", "plt.ylabel('Cost')\n", "plt.title('MC, AVC and ATC')\n", "plt.legend(make_array(\"Marginal Cost\",\"Average Variable Cost\",\"Average Total Cost\"))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the MC curve intersects the ATC and AVC curves at their minima. This is because when MC is below the AVC and ATC, it brings down the average since it costs less to produce an additional unit. But as MC begins to increase and surpasses the ATC and AVC cost curves, it will surpass the intersection, and pulls up the AVC and ATC curves. Therefore, it intersects at the minima." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Production and Firm Behavior\n", "\n", "A company decides to produce if the price is greater than or equal to its average variable cost. There are 3 different scenarios: \n", "\n", "- A firm does not produce at all\n", "- It produces at a loss-minimizing quantity\n", "- It produces at a profit\n", " \n", "Profits are calculated as total revenue minus total costs, where total revenue is price times quantity. For any price that is less than AVC, the firm will not produce at all. This is because for any amount of production, they will lose money. In this case, they shut down and the loss is limited to its fixed costs. In this example, we can see this for prices 24 and below.\n", "\n", "[Following image is a graph of Average Total, Fixed, and Marginal Costs and a price line]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No production\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "firm_behaviour(24, individual_firm_costs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For any price that lies above the AVC curve but below the ATC curve, the firm will produce at a loss-minimising quantity. This is because for some levels of production, they will make revenue that is more than the total variable cost of production but is still less than the total cost, which includes the fixed cost. While they still lose money, they have offset some of the losses they would have incurred from the fixed cost. In our example, we see this for prices between 25 and 31. The red patch in the plot shows the loss.\n", "\n", "[Following image is a graph of Average Total, Fixed, and Variable Costs with a loss]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Production at loss minimising quantity\n" ] }, { "data": { "image/png": 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//v3zvOabb74hICCA3bt3U79+fdv+4cOHc9ttt+X7tW3UqNFlP8cL2rVrxwsvvABAzZo1WbVqFR988MEly/KMGTOwWq189dVXtqu3kydPxs/Pj8jISG6++eaLXrN//36qVq2Ks7Nzvlkh92s3ZMgQW6keOXIka9euZfz48XTu3JmjR48SFBREREQEzs7OVK5cmZYtWwK5f56Ojo54e3sTFBR02fe5XirLIiIixZyrswOzXmtQoGN3RiXzypSoKx73+pAw6od5Fei9C2rv3r2sX7+eWbNmAeDk5MSgQYP4+uuv6dSpE05OTgwcOJDp06dzzz33kJKSwpw5c2w3yB04cIDU1NSLSl1mZiZNmjTJs+9C4b0gOTmZ0aNH8/vvv3Py5Emys7NJS0uzDY/Yu3cvTk5OeW64q169Ov7+/rbtbdu2kZycTNmyZfOcOy0tLc+wiX974IEHePvtt1m6dCldunRh8uTJhIaG0qVLFyC3XI4aNYp169Zx5swZrFYrAEePHs1Tlv/9Of3blT7HCy78oPHP7fxulNu2bRsHDhzA29s7z/709PR8P+eCDs3Zs2fPRT9gtGvXjg8//BDIvYo/YcIEqlatSvfu3enRowe9e/fGyenG1leVZRERkWLOYrEUeChEkxo+lPN1vujmvn8K8HWmSQ0fHB0Kdxzo119/TXZ2NsHBwbZ9hmHg6urKJ598gq+vL4MHDyY8PJxTp06xaNEi3N3d6d69O5BbBgF+//13KlasmOfcF670XuDp6Zln+5lnnmHRokWMHz+e6tWr4+7uzu23305mZmaB8ycnJ1OhQgUiIyMveu5yU7jVqFGDDh06MHnyZDp16sTUqVN5+OGHbVdqe/fuTZUqVfjyyy8JDg7GarVSv379i7L9+3P6t8L4HP8tOTmZZs2aMX369IueCwgIuORratasycqVK8nKyrri1eXLCQkJYe/evSxevJhFixbx2GOP8e6777Js2bLrOu/V0g1+IiIipYijg4X/9Kp42WMe6VWx0ItydnY2U6dO5b333mPr1q22x7Zt2wgODuaHH34AoG3btoSEhDBjxgymT5/OgAEDbMWobt26uLq6cvToUapXr57nERISctn3X7VqFUOGDKFfv340aNCAoKCgPDep1apVi+zsbLZs2WLbd+DAAeLi4mzbTZs2JSYmBicnp4vev1y5cpd9/wcffJCZM2cyc+ZMTpw4wZAhQwA4e/Yse/fu5eWXX6Zr167UqVMnz3tejSt9jhesXbv2ou06depc8pxNmzZl//79lC9f/qLP2dfX95Kvueuuu0hOTuazzz675PPx8fEA1KlTh1WrVl30OdStW9e27e7uTu/evfnoo4+IjIxkzZo17NiROz7fxcWFnJycS75HYTK1LC9fvpzevXsTHBx8yQmwDcNg1KhRVKhQAXd3dyIiIti/f3+eY86dO8fgwYPx8fHBz8+PBx980PaTpz1be3gjfb+5l7WHN5odRURESpl29f14eXAo5XzzXp0L8HXm5cGhtKvvV+jvOW/ePOLi4njwwQepX79+nkf//v35+uuvbcfeddddTJo0iUWLFjF48GDbfm9vb5555hlGjBjBt99+y8GDB9m8eTMff/wx33777WXfv0aNGvz666+2gn7XXXfZhjsA1K5dm4iICIYOHcr69evZsmULQ4cOxd3d3XYFOCIigjZt2tC3b1/+/PNPDh8+zOrVq3nppZfYuPHy388vlP5HHnmEm2++2Vbu/f39KVu2LF988QUHDhzgr7/+YuTIkVf99S3I53jBqlWrGDduHPv27ePTTz/l559/5qmnnrrkOQcPHky5cuXo06cPK1asICoqisjISIYNG8bx48cv+ZpWrVrx3HPP8fTTT/Pcc8+xZs0ajhw5wpIlSxgwYIDtz+rZZ59lypQpTJw4kf379/P+++/z66+/8swzzwC5i658/fXX7Ny5k0OHDvHdd9/h7u5OlSpVgNx5lpcvX86JEyc4c+bMNX3NCsQw0R9//GG89NJLxq+//moAxqxZs/I8//bbbxu+vr7G7NmzjW3bthm33nqrERYWZqSlpdmO6d69u9GoUSNj7dq1xooVK4zq1asbd95551XlSEhIMAAjISGhMD6tK7JarcYdUx82GozraNwx9WHDarXekPcVEZHiLy0tzdi9e3ee74XXKjvHamw7mGgs3XLO2HYw0cjOKbrvR7169TJ69OhxyefWrVtnAMa2bdsMwzCM3bt3G4BRpUqVi75HWq1WY8KECUatWrUMZ2dnIyAgwOjWrZuxbNkywzAMY+nSpQZgxMXF5XldVFSU0blzZ8Pd3d0ICQkxPvnkEyM8PNx46qmnbMdER0cbt9xyi+Hq6mpUqVLF+P77743y5csbkyZNsh2TmJhoPPnkk0ZwcLDh7OxshISEGIMHDzaOHj16xa/B0KFDDcD46aef8uxftGiRUadOHcPV1dVo2LChERkZmacXRUVFGYCxZcuWPK+bPHmy4evre1WfY5UqVYzXXnvNGDBggOHh4WEEBQUZH374YZ7z/ruTnTx50rj33nuNcuXKGa6urkbVqlWNhx9++Iq9acaMGUbHjh0Nb29vw9PT02jYsKExZsyYPH82n332mVG1alXD2dnZqFmzpjF16lTbc7NmzTJatWpl+Pj4GJ6enkbr1q2NxYsX255fs2aN0bBhQ8PV1dXIr9Je7u9LQfuf5fwXxXQWi4VZs2bRt29fIPeqcnBwME8//bTtJ4yEhATb9Ct33HEHe/bsoW7dunnuXF2wYAE9evTg+PHjecZEXU5iYiK+vr4kJCTg4+NTJJ/fP62KWs+jvzxr2554+7u0C2tZ5O8rIiLFX3p6OlFRUYSFheHm5mZ2nBLt+PHjhISEsHjxYrp27Wp2HLkGl/v7UtD+Z7djlqOiooiJiSEiIsK2z9fXl1atWrFmzRogd7lMPz+/PHeHRkRE4ODgwLp16/I9d0ZGBomJiXkeN4phGLy79BPbtoPFgU9WfnXVk7qLiIhI4frrr7+YO3cuUVFRrF69mjvuuIPQ0FA6duxodjQxkd2W5ZiYGCB3qch/CgwMtD0XExNz0TKPTk5OlClTxnbMpYwdOxZfX1/b40o3BRSm1Yc3cOjsEdu21bCyK2Yvqw9vuGEZRERE5GJZWVn897//pV69evTr14+AgADbAiVSetltWS5KL774IgkJCbbHsWPHbsj7GobBJyu/wsGS98uuq8siIiLm69atGzt37iQ1NZXY2FhmzZplu5lMSi+7LcsXVmOJjY3Nsz82Ntb2XFBQ0EXLUGZnZ3Pu3LnLrubi6uqKj49PnseNsPrwBnbF7MVq5L0zVVeXRUREROyT3ZblsLAwgoKCWLJkiW1fYmIi69ats60806ZNG+Lj49m0aZPtmL/++gur1UqrVq1ueObLuXBV2cKl5620YNHVZRERERE7Y+oKfsnJyRw4cMC2HRUVxdatWylTpgyVK1dm+PDhvPHGG9SoUYOwsDBeeeUVgoODbTNm1KlTh+7du/Pwww8zadIksrKyeOKJJ7jjjjsKPBPGjZKVk0VM4ikMLl2GDQxiEk+TlZOFi5PLDU4nIiIiIpdialneuHEjnTt3tm1fmIT7vvvuY8qUKTz33HOkpKQwdOhQ4uPjad++PQsWLMgz9cf06dN54okn6Nq1Kw4ODvTv35+PPvrohn8uV+Li5MIP93zBubR4274X571B1Lkj/KfNfXSq0Z4yHn4qyiIiIiJ2xG7mWTbTjZ5n+YKJq6YwcfVkulRvz4R+b96w9xURkeJL8yyLFFyJnme5NOhUvS0Aq49sJCM7w+Q0IiIiIvJvKssmql2+BoHeAaRnpbP+6Baz44iIiEgJMGXKFPz8/MyOUWKoLJvIYrEQXi336nLkgVUmpxERkdJo7eGN9P3mXtYe3njD3nPNmjU4OjrSs2fPG/aeZpgyZQoWi+Wyj8OHD+f7+tGjR9O4ceMiy7d06VJ69OhB2bJl8fDwoG7dujz99NOcOHGiUM7fqVMnhg8fXijnMpPKsskulOVlB9do2jgREbmhDMPgwxVfcOjsET5c8cUN+z709ddf8+STT7J8+XKio6OL9L0MwyA7O7tI3yM/gwYN4uTJk7ZHmzZtePjhh/Psu5GrCP/T559/TkREBEFBQcycOZPdu3czadIkEhISeO+990zJZK9Ulk3WsnIT3J3dOZV8mj2n9psdR0REiiHDMEjNTLvqx9IDK9kVsxeAXTF7WXpg5VWf42oLdnJyMjNmzODRRx+lZ8+eTJkyxfbcXXfdxaBBg/Icn5WVRbly5Zg6dSoAVquVsWPHEhYWhru7O40aNeKXX36xHR8ZGYnFYmH+/Pk0a9YMV1dXVq5cycGDB+nTpw+BgYF4eXnRokULFi9enOe9Tp48Sc+ePXF3dycsLIzvv/+e0NBQJkyYYDsmPj6ehx56iICAAHx8fOjSpQvbtm275Ofq7u5OUFCQ7eHi4oKHh4dtOzMzk9tuuw0vLy98fHwYOHCgbTG2KVOm8Nprr7Ft2zbbVegLX6v333+fBg0a4OnpSUhICI899hjJyckF/jM4fvw4w4YNY9iwYXzzzTd06tSJ0NBQOnbsyFdffcWoUaNsx86cOZN69erh6upKaGjoRUX6s88+o0aNGri5uREYGMjtt98OwJAhQ1i2bBkffvhhga6i2zNTp44TcHVypW1oC5bsX07kgVXUDaxpdiQRESlm0rLSaf1h9+s+z/DZL1/1a9Y+tQAPF/cCH//TTz9Ru3ZtatWqxd13383w4cN58cUXsVgsDB48mAEDBpCcnIyXlxcACxcuJDU1lX79+gEwduxYvvvuOyZNmkSNGjVYvnw5d999NwEBAYSHh9ve54UXXmD8+PFUrVoVf39/jh07Ro8ePXjzzTdxdXVl6tSp9O7dm71791K5cmUA7r33Xs6cOUNkZCTOzs6MHDnyopWCBwwYgLu7O/Pnz8fX15fPP/+crl27sm/fPsqUKVPgr4PVaqVPnz54eXmxbNkysrOzefzxxxk0aBCRkZEMGjSInTt3smDBAlup9/X1BcDBwYGPPvqIsLAwDh06xGOPPcZzzz3HZ599VqD3/vnnn8nMzOS555675PMXxjtv2rSJgQMHMnr0aAYNGsTq1at57LHHKFu2LEOGDGHjxo0MGzaMadOm0bZtW86dO8eKFSsA+PDDD9m3bx/169dnzJgxAAQEBBT462NPVJbtQKfqbW1l+bF295sdR0REpMh8/fXX3H333QB0796dhIQEli1bRqdOnejWrRuenp7MmjWLe+65B4Dvv/+eW2+9FW9vbzIyMnjrrbdYvHixbTXfqlWrsnLlSj7//PM8ZXnMmDHcdNNNtu0yZcrQqFEj2/brr7/OrFmzmDt3Lk888QR///03ixcvZsOGDTRv3hyAr776iho1athes3LlStavX8+pU6dwdXUFYPz48cyePZtffvmFoUOHFvjrsGTJEnbs2EFUVJRtKMbUqVOpV68eGzZsoEWLFnh5eeHk5ERQUFCe1/5zHHBoaChvvPEG//nPfwpclvfv34+Pjw8VKlS47HHvv/8+Xbt25ZVXXgGgZs2a7N69m3fffZchQ4Zw9OhRPD096dWrF97e3lSpUoUmTZoAucX+n1fSizOVZTvQoWobLFj4+9R+YpJOEeRd3uxIIiJSjLg7u7H2qQUFPt4wDB6Y8RR7Tx3Aalht+x0sDtQqX51vBuX+6ryg711Qe/fuZf369cyaNQsAJycnBg0axNdff02nTp1wcnJi4MCBTJ8+nXvuuYeUlBTmzJnDjz/+CMCBAwdITU3NU4IBMjMzbSXtgguF94Lk5GRGjx7N77//zsmTJ8nOziYtLY2jR4/asjk5OdG0aVPba6pXr46/v79te9u2bSQnJ1O2bNk8505LS+PgwYMF/joA7Nmzh5CQkDxjluvWrYufnx979uyhRYsW+b528eLFjB07lr///pvExESys7NJT08nNTUVDw+PK763YRgF+vPds2cPffr0ybOvXbt2TJgwgZycHG666SaqVKlC1apV6d69O927d6dfv34FylCcqCzbgTIefjQKrsfW6J0sO7CaQU36mh1JRESKEYvFclVDIVZFrWdP7L6L9lsNK3ti97E1eiftwloWZkQg96pydnY2wcHBtn2GYeDq6sonn3yCr68vgwcPJjw8nFOnTrFo0SLc3d3p3j13iMmFcbm///47FStWzHPuC1d6L/D09Myz/cwzz7Bo0SLGjx9P9erVcXd35/bbbyczM7PA+ZOTk6lQoQKRkZEXPXejpmo7fPgwvXr14tFHH+XNN9+kTJkyrFy5kgcffJDMzMwCFdWaNWuSkJDAyZMnr3h1+XK8vb3ZvHkzkZGR/Pnnn4waNYrRo0ezYcOGEjV1nW7wsxOdqrcDYNnB1SYnERGRkswwDD5Z+RUWLn1l0YKFT1Z+VegzY2RnZzN16lTee+89tm7dants27aN4OBgfvjhBwDatm1LSEgIM2bMYPr06QwYMABnZ2cg98qrq6srR48epXr16nkeV5pVYtWqVQwZMoR+/frRoEEDgoKC8txwVqtWLbKzs9my5f/rHhw4cIC4uDjbdtOmTYmJicHJyemi9y9XrtxVfT3q1KnDsWPHOHbsmG3f7t27iY+Pp27dugC4uLiQk5OT53WbNm3CarXy3nvv0bp1a2rWrHnVM4rcfvvtuLi4MG7cuEs+Hx8fb8u4alXeqW1XrVpFzZo1cXR0BHJ/OxAREcG4cePYvn07hw8f5q+//so3f3GkK8t2olP1tkxY/jnrjm4mNTMVD5eS9SsMERGxD1k5WcQknsLg0mXYwCAm8TRZOVm4OLkU2vvOmzePuLg4HnzwQduNahf079+fr7/+mv/85z9A7qwYkyZNYt++fSxdutR2nLe3N8888wwjRozAarXSvn17EhISWLVqFT4+Ptx33335vn+NGjX49ddf6d27NxaLhVdeeQWr9f9DUGrXrk1ERARDhw5l4sSJODs78/TTT+Pu7m4bshAREUGbNm3o27cv48aNsxXV33//nX79+l009ONyIiIiaNCgAYMHD2bChAlkZ2fz2GOPER4ebjtPaGgoUVFRbN26lUqVKuHt7U316tXJysri448/pnfv3qxatYpJkyYV+H0BQkJC+OCDD3jiiSdITEzk3nvvJTQ0lOPHjzN16lS8vLx47733ePrpp2nRogWvv/46gwYNYs2aNXzyySe2sdHz5s3j0KFDdOzYEX9/f/744w+sViu1atWy5V+3bh2HDx/Gy8uLMmXK4OBQDK/TGmIkJCQYgJGQkGBaBqvVavT44k6jwbiOxqK9y0zLISIi9i0tLc3YvXu3kZaWds3nOJkQa+yK2Zvv42RibCEmztWrVy+jR48el3xu3bp1BmBs27bNMAzD2L17twEYVapUMaxWa55jrVarMWHCBKNWrVqGs7OzERAQYHTr1s1Ytiz3e+fSpUsNwIiLi8vzuqioKKNz586Gu7u7ERISYnzyySdGeHi48dRTT9mOiY6ONm655RbD1dXVqFKlivH9998b5cuXNyZNmmQ7JjEx0XjyySeN4OBgw9nZ2QgJCTEGDx5sHD169Ipfg3+/35EjR4xbb73V8PT0NLy9vY0BAwYYMTExtufT09ON/v37G35+fgZgTJ482TAMw3j//feNChUqGO7u7ka3bt2MqVOn5vmcJ0+ebPj6+l4xz6JFi4xu3boZ/v7+hpubm1G7dm3jmWeeMaKjo23H/PLLL0bdunUNZ2dno3Llysa7775re27FihVGeHi44e/vb7i7uxsNGzY0ZsyYYXt+7969RuvWrQ13d3cDMKKioq6YqbBd7u9LQfufxTC0EkZiYiK+vr4kJCTg4+NjWo53//qEaZt+pk/97rx+y4um5RAREfuVnp5OVFQUYWFhuLkV/OY6uXrHjx8nJCSExYsX07VrV7PjyDW43N+Xgva/YngtvOQKr567mt/yg2vIsRb/MT4iIiLFyV9//cXcuXOJiopi9erV3HHHHbbFOqT0Ulm2I00qNsTb1Yu4tAR2nNxjdhwREZFSJSsri//+97/Uq1ePfv36ERAQYFugREov3eBnR5wdnWhftRXz9ywh8sAqGlesb3YkERGRUqNbt25069bN7BhiZ3Rl2c50qqYp5ERERETshcqynWkX1hInB0cOnj3M0bjjZscRERERKdVUlu2Mj5s3TSvlrl2vq8siIiIi5lJZtkMXVvOLVFkWERERMZXKsh3qVC13CrnNx7aTmJ5kchoRERGR0ktl2Q5V8gumWrkwcowcVkatMzuOiIiISKmlsmynLlxdjjywyuQkIiJS0mRFR5O2a1e+j6zoaLMjFrlOnToxfPjwQj3n6NGjady4caGeU8ynsmynLpTlVVHrycrJNjmNiIiUFFnR0RzsfguH+9+e7+Ng91uKpDAPGTIEi8XCf/7zn4uee/zxx7FYLAwZMqTQ3/dSfv31V15//fUb8l7/NnPmTDp16oSvry9eXl40bNiQMWPGcO7cuUI5f2hoKBMmTCiUc4nKst2qX6EOZTz8ScpIZvPx7WbHERGREiI7Lg4jM/OyxxiZmWTHxRXJ+4eEhPDjjz+SlpZm25eens73339P5cqVr/v8WVlZBTquTJkyeHt7X/f7Xa2XXnqJQYMG0aJFC+bPn8/OnTt577332LZtG9OmTbvheeTKVJbtlKODIx2rtgYg8qCGYoiISMnQtGlTQkJC+PXXX237fv31VypXrkyTJk3yHLtgwQLat2+Pn58fZcuWpVevXhw8eND2/OHDh7FYLMyYMYPw8HDc3NyYPn062dnZDBs2zPa6559/nvvuu4++ffvaXvvvYRihoaG89dZbPPDAA3h7e1O5cmW++OKLPHmef/55atasiYeHB1WrVuWVV14pcDkHWL9+PW+99Rbvvfce7777Lm3btiU0NJSbbrqJmTNnct9999mOnThxItWqVcPFxYVatWrlKdKGYTB69GgqV66Mq6srwcHBDBs2zPZ5HTlyhBEjRmCxWLBYLAXOJ5emsmzHbFPIHViFYRgmpxERESkcDzzwAJMnT7Ztf/PNN9x///0XHZeSksLIkSPZuHEjS5YswcHBgX79+mG1WvMc98ILL/DUU0+xZ88eunXrxjvvvMP06dOZPHkyq1atIjExkdmzZ18x13vvvUfz5s3ZsmULjz32GI8++ih79+61Pe/t7c2UKVPYvXs3H374IV9++SUffPBBgT/v6dOn4+XlxWOPPXbJ5/38/ACYNWsWTz31FE8//TQ7d+7kkUce4f7772fp0qVA7jCODz74gM8//5z9+/cze/ZsGjRoAOT+4FGpUiXGjBnDyZMnOXnyZIHzyaU5mR1A8te6SnNcHF04kXCSg2cPU71cmNmRRERErtvdd9/Niy++yJEjRwBYtWoVP/74I5GRkXmO69+/f57tb775hoCAAHbv3k39+vVt+4cPH85tt91m2/7444958cUX6devHwCffPIJf/zxxxVz9ejRw1Zkn3/+eT744AOWLl1KrVq1AHj55Zdtx4aGhvLMM8/w448/8txzzxXo896/fz9Vq1bF2dn5sseNHz+eIUOG2LKMHDmStWvXMn78eDp37szRo0cJCgoiIiICZ2dnKleuTMuWLYHc4SWOjo54e3sTFBRUoFxyebqybMc8XNxpVaUpoNX8RESk5AgICKBnz55MmTKFyZMn07NnT8qVK3fRcfv37+fOO++katWq+Pj4EBoaCsDRo0fzHNe8eXPbxwkJCcTGxtrKI4CjoyPNmjW7Yq6GDRvaPrZYLAQFBXHq1CnbvhkzZtCuXTuCgoLw8vLi5ZdfvijL5RT0t8R79uyhXbt2efa1a9eOPXv2ADBgwADS0tKoWrUqDz/8MLNmzSI7W5MBFBWVZTsXrinkRESkBHrggQeYMmUK3377LQ888MAlj+nduzfnzp3jyy+/ZN26daxbl7v2QOa/blD09PQslEz/vuJrsVhsQz7WrFnD4MGD6dGjB/PmzWPLli289NJLF2W5nJo1a3Lo0KGrGud8KSEhIezdu5fPPvsMd3d3HnvsMTp27Hjd55VLU1m2cx2rtQFge/RuzqYUzZ3JIiIiN1r37t3JzMwkKyuLbt26XfT82bNn2bt3Ly+//DJdu3alTp06xBVghg5fX18CAwPZsGGDbV9OTg6bN2++rryrV6+mSpUqvPTSSzRv3pwaNWrYhpEU1F133UVycjKfffbZJZ+Pj48HoE6dOqxalfci2apVq6hbt65t293dnd69e/PRRx8RGRnJmjVr2LFjBwAuLi7k5ORcVTbJn8Ys27kg7/LUDazF7ti9rDi0hr4NepgdSUREijEnf38sLi6XnT7O4uKCk79/keZwdHS0DStwdHS86Hl/f3/Kli3LF198QYUKFTh69CgvvPBCgc795JNPMnbsWKpXr07t2rX5+OOPiYuLu66ZIWrUqMHRo0f58ccfadGiBb///juzZs26qnO0atWK5557jqeffpoTJ07Qr18/goODOXDgAJMmTaJ9+/Y89dRTPPvsswwcOJAmTZoQERHBb7/9xq+//srixYsBmDJlCjk5ObRq1QoPDw++++473N3dqVKlCpA7nnr58uXccccduLq6XnKIixScynIxEF6tLbtj9xJ5YJXKsoiIXBfn4GCqLZh/2XmUnfz9cQ4OLvIsPj4++T7n4ODAjz/+yLBhw6hfvz61atXio48+olOnTlc87/PPP09MTAz33nsvjo6ODB06lG7dul2ylBfUrbfeyogRI3jiiSfIyMigZ8+evPLKK4wePfqqzvPOO+/QrFkzPv30UyZNmoTVaqVatWrcfvvttqnj+vbty4cffsj48eN56qmnCAsLY/LkybbP3c/Pj7fffpuRI0eSk5NDgwYN+O233yhbtiwAY8aM4ZFHHqFatWpkZGRoRq3rZDH0FSQxMRFfX18SEhIu+xfXLHti9zFo6sO4Obux4om5uDq5mh1JRERMkp6eTlRUFGFhYbi5uZkdp1iwWq3UqVOHgQMHmrZqn5jjcn9fCtr/NGa5GKhdvgaB3gGkZ6Wz/ugWs+OIiIjYtSNHjvDll1+yb98+duzYwaOPPkpUVBR33XWX2dGkGFJZLgYsFotmxRARESkgBwcHpkyZQosWLWjXrh07duxg8eLF1KlTx+xoUgypLBcTF1bzW3ZwtcYeiYiIXEZISAirVq0iISGBxMREVq9eTceOHc2OJcWUynIx0SKkMe7O7pxKPsOe2H1mxxEREREpFVSWiwlXJ1fahrYAIFKr+YmIiIjcECrLxUin6hq3LCIiInIjqSwXIx2qtsGChb9P7Scm6dSVXyAiIiIi10VluRgp4+FHo+B6ACw7oKEYIiIiIkVNZbmY+eesGCIiIiJStOy+LCclJTF8+HCqVKmCu7s7bdu2ZcOGDbbnDcNg1KhRVKhQAXd3dyIiIti/f7+JiYvWhXHL645uJjUz1eQ0IiIiRSs0NJQJEyaYHUNKMbsvyw899BCLFi1i2rRp7Nixg5tvvpmIiAhOnDgBwLhx4/joo4+YNGkS69atw9PTk27dupGenm5y8qIRVqYKIX4VycrJYvXhjWbHERERKbAhQ4ZgsViwWCy4uLhQvXp1xowZQ3Z2dr6v2bBhA0OHDr2BKUXysuuynJaWxsyZMxk3bhwdO3akevXqjB49murVqzNx4kQMw2DChAm8/PLL9OnTh4YNGzJ16lSio6OZPXu22fGLhMViodP51fyWHdSsGCIiUrx0796dkydPsn//fp5++mlGjx7Nu+++e9FxmZmZAAQEBODh4XGjY4rY2HVZzs7OJicnBzc3tzz73d3dWblyJVFRUcTExBAREWF7ztfXl1atWrFmzZp8z5uRkUFiYmKeR3ESfn4oxvKDa8ix5picRkREpOBcXV0JCgqiSpUqPProo0RERDB37lyGDBlC3759efPNNwkODqZWrVrAxcMw4uPjeeSRRwgMDMTNzY369eszb9482/MrV66kQ4cOuLu7ExISwrBhw0hJSbnRn6aUIE5mB7gcb29v2rRpw+uvv06dOnUIDAzkhx9+YM2aNVSvXp2YmBgAAgMD87wuMDDQ9tyljB07ltdee61IsxelJhUb4u3qRVxaAjtO7qFxxfpmRxIREZM1b978st/7ikpQUBAbN177sEB3d3fOnj0LwJIlS/Dx8WHRokWXPNZqtXLLLbeQlJTEd999R7Vq1di9ezeOjo4AHDx4kO7du/PGG2/wzTffcPr0aZ544gmeeOIJJk+efM0ZpXSz67IMMG3aNB544AEqVqyIo6MjTZs25c4772TTpk3XfM4XX3yRkSNH2rYTExMJCQkpjLg3hLOjE+2rtmL+niVEHlilsiwiIsTExNju5ykODMNgyZIlLFy4kCeffJLTp0/j6enJV199hYuLyyVfs3jxYtavX8+ePXuoWbMmAFWrVrU9P3bsWAYPHszw4cMBqFGjBh999BHh4eFMnDjxot9UixSE3ZflatWqsWzZMlJSUkhMTKRChQoMGjSIqlWrEhQUBEBsbCwVKlSwvSY2NpbGjRvne05XV1dcXV2LOnqR6lStXW5ZPriK4eGPmB1HRERMduF7or2/77x58/Dy8iIrKwur1cpdd93F6NGjefzxx2nQoEG+RRlg69atVKpUyVaU/23btm1s376d6dOn2/YZhoHVaiUqKoo6depcVVYRKAZl+QJPT088PT2Ji4tj4cKFjBs3jrCwMIKCgliyZImtHCcmJrJu3ToeffRRcwMXsXZhLXFycOTQ2SMcjTtOZf9KZkcSERETXc9QiBupc+fOTJw4ERcXF4KDg3Fy+n8V8fT0vOxr3d3dL/t8cnIyjzzyCMOGDbvoucqVK19bYCn17L4sL1y4EMMwqFWrFgcOHODZZ5+ldu3a3H///VgsFoYPH84bb7xBjRo1CAsL45VXXiE4OJi+ffuaHb1I+bh507RSI9Yf3cyyg6u5p/lAsyOJiIhckaenJ9WrV7+m1zZs2JDjx4+zb9++S15dbtq0Kbt3777m84tcil3PhgGQkJDA448/Tu3atbn33ntp3749CxcuxNnZGYDnnnuOJ598kqFDh9KiRQuSk5NZsGBBqRiXdGE1v0it5iciIqVAeHg4HTt2pH///ixatIioqCjmz5/PggULAHj++edZvXo1TzzxBFu3bmX//v3MmTOHJ554wuTkUpzZfVkeOHAgBw8eJCMjg5MnT/LJJ5/g6+tre95isTBmzBhiYmJIT09n8eLF+Y5lKmkuzLe8+dh2EtOTTE4jIiJS9GbOnEmLFi248847qVu3Ls899xw5ObnTqDZs2JBly5axb98+OnToQJMmTRg1ahTBwcEmp5bizGIYhmF2CLMlJibi6+tLQkICPj4+Zse5Kv0mD+HgmSje7vUKPepEXPkFIiJSrKWnpxMVFUVYWFip+C2qyPW43N+XgvY/u7+yLJd34epy5AGt5iciIiJS2FSWi7kLZXlV1HqycrJNTiMiIiJSsqgsF3P1K9ShjIc/SRnJbD6+3ew4IiIiIiWKynIx5+jgSMeqrQGIPKihGCIiIiKFSWW5BLBNIXdgFbpfU0SkdNC/9yJXVhh/T1SWS4DWVZrj4ujCiYSTHDx72Ow4IiJShC6sM5CammpyEhH7d+HvyYW/N9fC7lfwkyvzcHGnVZWmrDi0lmUHV1O9XJjZkUREpIg4Ojri5+fHqVOnAPDw8MBisZicSsS+GIZBamoqp06dws/PD0dHx2s+l8pyCdGpWjtWHFpL5IFVPNhqsNlxRESkCAUFBQHYCrOIXJqfn5/t78u1UlkuITpWawOLYHv0bs6mxFHW09/sSCIiUkQsFgsVKlSgfPnyZGVlmR1HxC45Oztf1xXlC1SWS4hA7wDqBtZid+xeVhxaQ98GPcyOJCIiRczR0bFQyoCI5E83+JUg4VrNT0RERKRQqSyXIJ2q55bl1Uc2kpGdYXIaERERkeJPZbkEqV2+BoHeAaRnpbP+6Baz44iIiIgUexqzXIJYLBbCq7Xlp61ziDywig7nV/YTERERsTdZ0dFkx8Xl+7yTvz/OwcE3MFE+OcwOIIWrU/V2/LR1DssOruZlY6Tm3hQRERG7kxUdzcHut2BkZuZ7jMXFhWoL5ptemDUMo4RpEdIYd2d3TiWfYU/sPrPjiIiIiFwkOy7uskUZwMjMvOyV5xtFZbmEcXVypW1oCwAiD642OY2IiIhI8aayXAJdmBVDU8iJiIiIXB+V5RKoQ9U2WLDw96n9xCRpKVQRERGRa6WyXAKV8fCjUXA9AJYd0FAMERERkWulslxCdareDoDIgxqKISIiInKtVJZLqAvjltcf3UJqZqrJaURERESKJ5XlEiqsTBVC/CqSlZPF6sMbzY4jIiIiYuPk74/FxeWyx1hcXHDy979BifKnRUlKKIvFQqdqbZm26WeWHVxFRM2OZkcSERERAcA5OJhqC+aTHRdHypq1pG3dinvTJrg3aoSDmxtgPyv46cpyCRZ+fijG8oNryLHmmJxGRERE5P+cg4Nxq1OHzMNRkJ1N2voNuISE4F6vHu716tlFUQaV5RKtScWGeLt6EZeWwI6Te8yOIyIiIpJH+q7d5Jw5C4BbvXo4ly9vcqKLqSyXYM6OTrSv2grQAiUiIiJif5KXL7N97BVun0NGVZZLuE7VNIWciIiI2J/sM2dI37kLAMcyZXCrX9/kRJemslzCtQtriZODI4fOHuFo3HGz44iIiIgAkLxiJRgGAF4dO2BxsM9aap+ppND4uHnTtFIjAJYd1Gp+IiIiYj4jM5OUVed/6+3kiGe7duYGugyV5VLg/6v5qSyLiIiI+VI3b8GanAyAR5MmOHp7m5wofyrLpUCnarlTyG0+tp3E9CST04iIiEhpl7x8ue1jr/BwE5NcmcpyKVDJL5hq5cLIMXJYGbXO7DgiIiJSimUeO0bmoUMAOFesiEu1aiYnujyV5VLiwtVlTSEnIiIiZkpe9s+ryh2xWCwmprkyleVS4kJZXhW1nqycbJPTiIiISGlkTU0ldf16ACxubni0bGlyoitTWS4l6leoQxkPf5Iyktl8fLvZcURERKQUSlm7DiMzEwDP1q1wcHMzOdGVqSyXEo4OjnSs2hrQAiUiIiJy4xmGQfKyf6zY19E+V+z7N5XlUsQ2hdyBVRjnJwEXERERuREy9u0jOzYWANcaNXAODjY5UcGoLJciras0x8XRhRMJJzl49rDZcURERKQUSY78x1XlTvY9Xdw/qSyXIh4u7rSq0hTQrBgiIiJy42THxZG2bRsAjr4+uDdqZHKiglNZLmU6VcsdiqGlr0VERORGSVm5CqxWADzbt8fi5GRyooKz67Kck5PDK6+8QlhYGO7u7lSrVo3XX389z3hbwzAYNWoUFSpUwN3dnYiICPbv329iavvWsVobALZH7+ZsSpzJaURERKSkM7KzSVm5MnfDwQHP9u3NDXSV7Losv/POO0ycOJFPPvmEPXv28M477zBu3Dg+/vhj2zHjxo3jo48+YtKkSaxbtw5PT0+6detGenq6icntV6B3AHUDa2FgsOLQGrPjiIiISAmXtn07OQkJALg3bIiTv7/Jia6OXZfl1atX06dPH3r27EloaCi33347N998M+vPT2ZtGAYTJkzg5Zdfpk+fPjRs2JCpU6cSHR3N7NmzzQ1vx8K1mp+IiIjcIHlu7AsvHtPF/ZNdl+W2bduyZMkS9u3bB8C2bdtYuXIlt9xyCwBRUVHExMQQERFhe42vry+tWrVizZr8r5pmZGSQmJiY51GadKqeW5ZXH9lIRnaGyWlERESkpMqKjibjfI9zCgzEtXZtkxNdPbsuyy+88AJ33HEHtWvXxtnZmSZNmjB8+HAGDx4MQExMDACBgYF5XhcYGGh77lLGjh2Lr6+v7RESElJ0n4Qdql2+BoHeAaRnpbP+6Baz44iIiEgJlWcRkvCOWCwWE9NcG7suyz/99BPTp0/n+++/Z/PmzXz77beMHz+eb7/99rrO++KLL5KQkGB7HDt2rJASFw8Wi0VDMURERKRIWdPSSFm7DgCLiwuerVubnOja2HVZfvbZZ21Xlxs0aMA999zDiBEjGDt2LABBQUEAxJ5fDeaC2NhY23OX4urqio+PT55HaXNhNb9lB1drNT8REREpdCnr1mFk5A739GjVEgcPD5MTXRu7Lsupqak4OOSN6OjoiPX8PH1hYWEEBQWxZMkS2/OJiYmsW7eONm3a3NCsxU2LkMa4O7tzKvkMe2L3mR1HREREShDDMP41BKOTeWGuk12X5d69e/Pmm2/y+++/c/jwYWbNmsX7779Pv379gNzhBMOHD+eNN95g7ty57Nixg3vvvZfg4GD69u1rbng75+rkStvQFgBEaoESERERKUQZ+/aRfTL3/jHX6tVwqVTR5ETXzq6XT/n444955ZVXeOyxxzh16hTBwcE88sgjjBo1ynbMc889R0pKCkOHDiU+Pp727duzYMEC3NzcTExePHSq3pYl+5cTeWAVj7W73+w4IiIiUkLknS4u3MQk189iaMAqiYmJ+Pr6kpCQUKrGL59Ljafzp30xMPjzPz8T5F3e7EgiIiJSzGXHxXHypZfBasXBx5vgt96yy+WtC9r/7HoYhhStMh5+NAquB8CyAxqKISIiItcvZeVKOH9/mVeHDnZZlK+GynIpd2FWjMiDmkJOREREro+RnU3yihW5Gw4OeLZvb26gQqCyXMpdWM1v/dEtpGammpxGREREirO0LVuwJiYB4N6oEU7+/iYnun4qy6VcWJkqhPhVJCsni9WHN5odR0RERIqxPNPFdSreN/ZdoLJcylksFjqdX81vmYZiiIiIyDXKPH6CjAMHAXCqEIRrzZomJyocKstC+PmhGMsPriHHmmNyGhERESmOkpdF2j72Cg/HYrGYF6YQqSwLTSo2xNvVi7i0BLZH7zY7joiIiBQz1tRUUtetB8Di6opnq1YmJyo8KsuCs6MT7avm/k+9TKv5iYiIyFVKWbsWIzMTAM/WrXBwdzc5UeFRWRYAOlXTFHIiIiJy9QzDIHnZctt2cV+x799UlgWAdmEtcXJw5NDZIxyNO252HBERESkmMv7+m+zYWABca9bEOTjY5ESFS2VZAPBx86ZppUaAhmKIiIhIwZXE6eL+SWVZbP6/mp/KsoiIiFxZ9rlzpG3bDoCjry/uDRuanKjwqSyLzYX5ljcf205iepLJaURERMTepaxYAYYBgGeHDlicnExOVPhUlsWmkl8w1cqFkWPksOLQWrPjiIiIiB0zsrJIXnl+YgBHR7zatzM3UBFRWZY8/r+an4ZiiIiISP5SN2/BmpT7m2j3xo1w9PMzN1ARUVmWPC6U5VVR68nKyTY5jYiIiNirPDf2lbDp4v5JZVnyqF+hDmU8/EnKSGbz8e1mxxERERE7lHnsGJmHDgHgHByMa40aJicqOirLkoejgyMdq7YGtECJiIiIXFry0kjbx16dwrFYLOaFKWIqy3IR2xRyB1ZhnL/DVURERATAmpJC6oYNAFjc3fBo1crkREVLZVku0rpKc1wcXTiRcJKDZw+bHUdERETsSMqaNRhZWQB4tm6Dg6uryYmKlsqyXMTDxZ1WVZoCuVeXRURERAAMwyB52XLbtld4RxPT3Bgqy3JJnarlDsXQFHIiIiJyQfqu3WSfPg2Aa+1aOAcFmZyo6KksyyV1rNYGgO3RuzmbEmdyGhEREbEHycsibR+X5Oni/kllWS4p0DuAuoG1MDBYcWiN2XFERETEZNlnzpC+cxcAjv7+uDdsaHKiG0NlWfIVfn6BEo1bFhERkeTlK+D8LFleHTtgcXQ0OdGNobIs+epUPbcsrz6ykYzsDJPTiIiIiFmMzExSVp2/eObkiGe7duYGuoFUliVftcvXINA7gPSsdNYf3WJ2HBERETFJ6qZNWFNSAPBo0hRHHx+TE904KsuSL4vFoqEYIiIiQnLkMtvHXp1Kx419F6gsy2VdWM1v2cHVWs1PRESkFMo8fJjMI0cAcA4JwaVqVZMT3Vgqy3JZLUIa4+7szqnkM+yJ3Wd2HBEREbnBkpZG2j72Cg/HYrGYF8YEKstyWa5OrrQNbQFApBYoERERKVVyEhNJ3bQRAAdPTzxatjA50Y2nsixXdGFWDI1bFhERKV2SV6yA7BwAPNu1w8HFxeREN57KslxRh6ptsGDh71P7iUk8ZXYcERERuQGM7GxSlq/I3bBY8ArvaG4gk6gsyxWV8fCjUXA9IPdGPxERESn50rZsISchAQD3Ro1wKlvW5ETmUFmWArkwK0bkQQ3FEBERKQ3y3NjXubN5QUymsiwFcmHc8vqjW0jNTDU5jYiIiBSlzMOHyTx0CADn4GBca9YwOZF5VJalQMLKVCHEryJZOVmsPrzR7DgiIiJShJIiI20fe3XuXOqmi/snlWUpEIvFQqfzq/kt01AMERGREisnKYnUjeeni/PwwKNVS5MTmUtlWQos/PxQjOUH15BjzTE5jYiIiBSFFE0Xl4fKshRYk4oN8Xb1Ii4tge3Ru82OIyIiIoXMyM4medny3A2LBa9O4eYGsgMqy1Jgzo5OdKjaGtAUciIiIiVR2tat/5gurmGpnS7un1SW5aqEnx+3rCnkRERESp6kpUttH5fm6eL+ye7LcmhoKBaL5aLH448/DkB6ejqPP/44ZcuWxcvLi/79+xMbG2ty6pKrXVhLnBwcOXT2CEfjjpsdR0RERApJ5tGjZB68MF1cBVxr1jQ5kX2w+7K8YcMGTp48aXssWrQIgAEDBgAwYsQIfvvtN37++WeWLVtGdHQ0t912m5mRSzQfN2+aVmoEaCiGiIhISZL8r6vKpXm6uH+y+7IcEBBAUFCQ7TFv3jyqVatGeHg4CQkJfP3117z//vt06dKFZs2aMXnyZFavXs3atWvNjl5i2VbzO6ChGCIiIiVB3uni3PFoWbqni/snuy/L/5SZmcl3333HAw88gMViYdOmTWRlZREREWE7pnbt2lSuXJk1a9bke56MjAwSExPzPKTgLsy3vPn4DhLTk0xOIyIiItcrZeVKjKxs4Px0ca6uJieyH8WqLM+ePZv4+HiGDBkCQExMDC4uLvj5+eU5LjAwkJiYmHzPM3bsWHx9fW2PkJCQIkxd8lTyC6ZauTByjBxWHNIVfBERkeLsouniwjVd3D8Vq7L89ddfc8sttxAcHHxd53nxxRdJSEiwPY4dO1ZICUuP/6/mp3HLIiIixVnatm3kxMcD4N6wAU7lypkbyM4Um7J85MgRFi9ezEMPPWTbFxQURGZmJvHn/4AviI2NJSgoKN9zubq64uPjk+chV+dCWV4VtZ6snGyT04iIiMi1+veNfZJXsSnLkydPpnz58vTs2dO2r1mzZjg7O7NkyRLbvr1793L06FHatGljRsxSo36FOpTx8CcpI5nNx7ebHUdERESuQeaxY2QcOAiAU4UgXGvVMjmR/SkWZdlqtTJ58mTuu+8+nJycbPt9fX158MEHGTlyJEuXLmXTpk3cf//9tGnThtatW5uYuORzdHCk4/nV/LRAiYiISPH0z6vK3pou7pKKRVlevHgxR48e5YEHHrjouQ8++IBevXrRv39/OnbsSFBQEL/++qsJKUuff04hZxiGyWlERETkauQkJ5O6YQNwfrq4Vq1MTmSfnK58iPluvvnmfMuYm5sbn376KZ9++ukNTiWtqzTHxdGFEwknOXj2MNXLhZkdSURERAooz3Rxbdtqurh8FIsry2KfPFzcaVWlKaAFSkRERIoTIydH08UVkMqyXJdO1XKHYmgKORERkeIjbds2cuLiAHBrUB+ngACTE9kvlWW5Lh2r5c46sj16N2dT4kxOIyIiIgWRvDTS9rG3pou7LJVluS6B3gHUDayFgcGKQ/kvMS4iIiL2IfPYMTL27wfOTxdXu7bJieybyrJct/DzC5Ro3LKIiIj9S/rH+hTeXbpourgrUFmW69apem5ZXn1kIxnZGSanERERkfzkJCSQunEjAA4eHpourgBUluW61S5fg0DvANKz0ll/dIvZcURERCQfycuXQ3YOAJ4dOuDg4mJyIvunsizXzWKxaCiGiIiInTMyM/8/XZyjI16dNF1cQagsS6G4sJrfsoOrtZqfiIiIHUrZsAFrcjIAHk2b4OTvb3Ki4kFlWQpFi5DGuDu7cyr5DHti95kdR0RERP7BMAySl/xl2/bq0sXENMWLyrIUClcnV9qGtgAgUguUiIiI2JWMvXvJio4GwKVqVVzDwkxOVHyoLEuhuTArhsYti4iI2Jc808V11VXlq6GyLIWmQ9U2WLDw96n9xCSeMjuOiIiIAFmxsaTv2AmAo78/7o0bmxuomFFZlkJTxsOPxhXrA7k3+omIiIj5kpcutX3s1bkTFkdH88IUQyrLUqhsU8gd1FAMERERs1lTUkhZvQYAi6srXu3amZyo+FFZlkJ1Ydzy+qNbSM1MNTmNiIhI6Za8ahVGZiYAnm1a4+DpaXKi4kdlWQpVWJkqhPhVJCsni9WHN5odR0REpNQycnJIXhpp2/bq3Nm8MMWYyrIUKovFQiet5iciImK6tK1byYmLA8CtQX2cAwNNTlQ8qSxLoQs/PxRjxaE15FhzTE4jIiJSOiX9YxES765dTUxSvKksS6FrUrEh3q5exKUlsD16t9lxRERESp2MQ1FkHjoEgHNwMK61apmcqPhSWZZC5+zoRIeqrQFNISciImKG5KX/WNq6axcsFouJaYo3lWUpEhemkPtjz2L6fnMva3Wzn4iIyA2Rfe4cqZs2A+Dg5YVnixYmJyreVJalSLQLa4mjxYGYpFMcOnuED1d8gWEYZscSEREp8ZL/+gusVgC8OnXC4uJicqLiTWVZioSPmzfVylW1be+K2cvqwxtMTCQiIlLyWVNTSV6ZOxuVxdkZr/COJicq/lSWpUgYhkFieqJt28HiwCcrv9LVZRERkSKUvGoVRno6AB6tW+Ho7W1youJPZVmKxOrDG4hJOmXbthpWXV0WEREpQkZ2Nsl/LbVte0dEmJim5FBZlkJnGAafrPwKB0ve/710dVlERKTopG7a/P9FSBo20CIkhURlWQrd6sMb2BWzF6thzbNfV5dFRESKhmEYJC1ebNvWVeXCo7IsherCVWUL+c/nqKvLIiIihStj3z6yjh0DwKVKFVxr1DA5UcmhsiyFKisni5jEUxjkX4aPxZ0gKyfrBqYSEREp2ZL+XGT72DuiqxYhKUROZgeQksXFyYUf7vmCc2nxFz03ed33LNy7FCwWzqXFE+Rd/sYHFBERKWGyTp4kfdcuABzLlMG9aVOTE5UsKstS6IJ8yhPkc3ERfqPHixyJO87fp/bzwrzX+WrQBzg56H9BERGR65G06B9jlbt2weLoaGKakkfDMOSGcXVyZfyto/F08WDz8e1MWv2t2ZFERESKtZyEBFLWrwPAwcMdz3btTE5U8qgsyw1V2b8So25+BoAv10xj7eGNJicSEREpvpKXLYPsHAA827XHwc3N5EQlzzWV5TFjxpCamnrR/rS0NMaMGXPdoaRku6VOV25v2BsDgxd+f4MzyWfNjiQiIlLsWDMySF62PHfD0RGvLp3NDVRCXVNZfu2110hOTr5of2pqKq+99tp1h5KS77kuT1K9XBjnUuN44fc3yLHmmB1JRESkWElduxZrSgoAHs2b4+Tvb3KikumayrJhGJeckmTbtm2UKVPmukNJyefmnDt+2c3ZjfVHN/PV2u/MjiQiIlJsGFYrSYuX2La9I7qamKZku6qy7O/vT5kyZbBYLNSsWZMyZcrYHr6+vtx0000MHDiwqLJKCVO1bCgvR4wAYOLqKWw8ttXcQCIiIsVE2rZtZJ8+DYBr7Vq4hISYnKjkuqp5uyZMmIBhGDzwwAO89tpr+Pr62p5zcXEhNDSUNm3aFHpIKblurd+d9Ue3MHfXAl6Y9zo/3fc1ZTz8zI4lIiJitwzD+NciJDeZmKbku6qyfN999wEQFhZGu3btcHLSHLly/f4bMZwdJ3cTde4oL/3xJp/2fwcHiyZqERERuZSM/fvJjIoCwDk4GLd6dU1OVLJdUyPx9vZmz549tu05c+bQt29f/vvf/5KZmVlo4aR08HBx591bR+Pq5MKqqPVMWf+j2ZFERETsVtLCP20fe998s5a2LmLXVJYfeeQR9u3bB8ChQ4cYNGgQHh4e/Pzzzzz33HOFGlBKh5oB1Xih61MAfLziK7ae2GlyIhEREfuTefxEnqWtPZo3MzlRyXdNZXnfvn00btwYgJ9//pnw8HC+//57pkyZwsyZMwszn5QitzXoyS11upJj5PDcb6+RkJZodiQRERG7kvTnP64qR0Rg0ZDYInfNU8dZrVYAFi9eTI8ePQAICQnhzJkzhZcOOHHiBHfffTdly5bF3d2dBg0asHHj/1d9MwyDUaNGUaFCBdzd3YmIiGD//v2FmkFuDIvFwis3PU1lv4rEJJ3ilQVvYxiG2bFERETsQvbZs6Se70AOnp54tmtrcqLS4ZrKcvPmzXnjjTeYNm0ay5Yto2fPngBERUURGBhYaOHi4uJo164dzs7OzJ8/n927d/Pee+/h/49Jt8eNG8dHH33EpEmTWLduHZ6ennTr1o309PRCyyE3jperJ+/eOhpnR2ciD6ziu02/mB1JRETELiQtXgLnL1Z6deqEg6uryYlKh2sqyxMmTGDz5s088cQTvPTSS1SvXh2AX375hbZtC++nnHfeeYeQkBAmT55My5YtCQsL4+abb6ZatWpA7lXlCRMm8PLLL9OnTx8aNmzI1KlTiY6OZvbs2YWWQ26sOoE1ebbT4wB8sGwSO0/uucIrRERESracpCRSVq4EwOLiglfnTqbmKU2uqSw3bNiQHTt2kJCQwKuvvmrb/+677/Ltt98WWri5c+fSvHlzBgwYQPny5WnSpAlffvml7fmoqChiYmKIiIiw7fP19aVVq1asWbMm3/NmZGSQmJiY5yH2ZVCTvkTUDCfbms2zv71GYnqS2ZFERERMkxwZiZGVBYBnu3Y4enmZnKj0uK7JbDdt2sR3333Hd999x+bNm3Fzc8PZ2bmwsnHo0CEmTpxIjRo1WLhwIY8++ijDhg2zFfKYmBiAi4Z+BAYG2p67lLFjx+Lr62t7hGjVG7tjsVgY3e1Zgn2DOJFwktcWvqvxyyIiUipZMzJIjlyWu+HgoKWtb7BrKsunTp2ic+fOtGjRgmHDhjFs2DCaN29O165dOX1+6cXCYLVaadq0KW+99RZNmjRh6NChPPzww0yaNOm6zvviiy+SkJBgexw7dqyQEkth8nHz5t3eo3FycGLRvmXM2Drb7EgiIiI3XMqqVVhTUgDwaNECp7JlTU5UulxTWX7yySdJTk5m165dnDt3jnPnzrFz504SExMZNmxYoYWrUKECdevmXZWmTp06HD16FICgoCAAYmNj8xwTGxtre+5SXF1d8fHxyfMQ+9SgQh1GhD8CwLtLP+XvWM10IiIipYeRnU3SosW2be+btLT1jXZNZXnBggV89tln1KlTx7avbt26fPrpp8yfP7/QwrVr1469e/fm2bdv3z6qVKkC5C67HRQUxJIlS2zPJyYmsm7dOtq0aVNoOcRcdzcbQHi1tmTlZPHsb6NJyUw1O5KIiMgNkbpxIzlxcQC4NaiPS6WKJicqfa6pLFut1kuOTXZ2drbNv1wYRowYwdq1a3nrrbc4cOAA33//PV988QWPP547U4LFYmH48OG88cYbzJ07lx07dnDvvfcSHBxM3759Cy2HmMtisfDGLS8S5F2eI3HHGfPneI1fFhGREs8wjDyLkPjcfLOJaUqvayrLXbp04amnniI6Otq278SJE4wYMYKuXQtv0HmLFi2YNWsWP/zwA/Xr1+f1119nwoQJDB482HbMc889x5NPPsnQoUNp0aIFycnJLFiwADc3t0LLIebzdfdhXO9XcbQ4Mn/PEmbt+MPsSCIiIoUuKzqatF27SNu1i4S5c0nfu4+cpCQcfHzIycgg6x/dS24Mi3ENl+iOHTvGrbfeyq5du2wzSRw7doz69eszd+5cKlWqVOhBi1JiYiK+vr4kJCRo/LKd+2bd90xY/jluTq5Mv3sSNQKqmh1JRESkUGRFR3Ow+y0YmZn5HmNxcaHagvk4BwffwGQlU0H73zUtKB4SEsLmzZtZvHgxf//9N5B7490/5zsWKQpDWt7B+qNbWH14Pc/+Nprv7/4cDxd3s2OJiIhct+y4uMsWZQAjM5PsuDiV5RvoqoZh/PXXX9StW5fExEQsFgs33XQTTz75JE8++SQtWrSgXr16rFixoqiyiuBgceDNHv8lwLMsh84eYeySCWZHEhERkRLsqsryhAkTePjhhy95qdrX15dHHnmE999/v9DCiVxKWU9/3uk9CgeLA3N2LmDuzgVmRxIREZES6qrK8rZt2+jevXu+z998881s2rTpukOJXEnzkMb8p+19ALy5eAJRZ4+YnEhERERKoqsqy7GxsZddztrJyalQV/ATuZyHW99Dy8pNSctK45m5o0nPyjA7koiIiJQwV1WWK1asyM6dO/N9fvv27VSoUOG6Q4kUhKODI2N7vkwZD3/2nznEu0s/MTuSiIiIlDBXVZZ79OjBK6+8Qnp6+kXPpaWl8eqrr9KrV69CCydyJQFeZRnb8yUsWPh521wW/P2X2ZFERESuSfbZs2ZHkEu4qrL88ssvc+7cOWrWrMm4ceOYM2cOc+bM4Z133qFWrVqcO3eOl156qaiyilxSm9AWPNT6bgBeW/guR+OOm5xIRETk6qVv2wYWy2WPsbi44OTvf4MSCVzDoiRHjhzh0UcfZeHChbYlhy0WC926dePTTz8lLCysSIIWJS1KUvxlW7N5aMYINh/fTp3Amky761NcnFzMjiUiIlIg2WfPcnLUq1hTUsDRgXKPP46Dq+tFxzn5+2uO5UJS0P53TSv4AcTFxXHgwAEMw6BGjRr4F+OfclSWS4aYpFMM/PYh4tMSuKvpbbzQ9SmzI4mIiBRI3A8/kLxsOQA+PXvg27u3yYlKvoL2v6sahvFP/v7+tGjRgpYtWxbroiwlR5B3ed7s8V8Avt/8K0v2LTc5kYiIyJXlxMeTvGoVABZXV7w6dzE5kfzTNZdlEXvUoWprhrS4A4BRC97hRMJJkxOJiIhcXuKiRZCdA4BXeDiOXp4mJ5J/UlmWEufJDg/TsEJdkjKSefa318jKyTI7koiIyCXlJCWRsnwFABZnZ7wjupqcSP5NZVlKHGdHJ97pPQpvVy92ntzDRyu+MjuSiIjIJSUtWYKRlXtRx7N9exx175TdUVmWEqmibwVev+UFAL7d8CPLD64xOZGIiEhe1pQUkiOX5W44OeJ9803mBpJLUlmWEqtLjQ7c1bQ/AC/98RYxSadMTiQiIvJ/SZGRGOcXevNs00bzJ9splWUp0UaG/4e6gbVISE/k+d/GkG3NNjuSiIgI1vR0kpecX3XWwQGfm282N5DkS2VZSjQXJxfe7f0qni4ebDmxg89WTTY7koiICMlLl2JNTQXAo0ULnAICTE4k+VFZlhIvxL8io7s9C8DXa6ezOmqDyYlERKQ0s6amkrRoce6GxYJPj1vMDSSXpbIspUK32l0Y0OhWDAxe/OMNTiefNTuSiIiUUkn/vKrcqiXOgYEmJ5LLUVmWUuPZzk9QM6AacanxvPD76+RYc8yOJCIipYw1NZXkJUtyNxwc8OnRw9xAckUqy1JquDm78u6to3F3dmfD0S18sWaa2ZFERKSUSVryF9bUNAA8W7fCuXx5kxPJlagsS6kSVqYyr9w0EoBJq6ew/uhmkxOJiEhpYU1JIemv81eVHR3xuUVjlYsDlWUpdXrVu5l+DXrkjl+e9wZnU+LMjiQiIqVA0pIlGGnn51Vu3VozYBQTKstSKj3fZRjVyoZyOuUsL/3xJlbDanYkEREpwXKSU0i6MK+yk6NmwChGVJalVPJwcefdW0fj5uTK6sMbmLz+B7MjiYhICZa0eBFGRgYAnm3b4lS2rMmJpKBUlqXUql4ujBcjngLgkxVfs/n4dpMTiYhISZSTlETy0sjcDSeNVS5uVJalVOtbvwc969xEjpHD8/PGEJ+WYHYkEREpYZIWLbZdVfZq3x4nf3+TE8nVUFmWUs1isfDyzSOp4h9CbNJpXp4/FsMwzI4lIiIlRE5SEsmRkQBYnJ3w7tbN3EBy1VSWpdTzdPFg/K2jcXF0YfnBNUzb+JPZkUREpIRI+vNPjMxMADzbd9BV5WJIZVkEqFW+Os91eQKACcs/Z8fJPSYnEhGR4i4nIYHkyGUAWJyd8el2s8mJ5FqoLIucN6DRrdxcqxPZ1hye/W00ielJZkcSEZFiLPHPPzGysgDw7NgBRz8/cwPJNVFZFjnPYrHwardnqeQbTHRCDK8uGKfxyyIick2y4+JIWb4CuHBVWWOViyuVZZF/8Hb14t1bX8XJwYkl+5fz45ZZZkcSEZFiKHHe77aryl6dOuHo42NyIrlWKssi/1IvqDYjOz0KwPjIz9gdu8/kRCIiUpxkxcaSsno1AA4e7poBo5hTWRa5hMFN+9O5enuycrJ4bu5okjNSzI4kIiLFRMLcuXB+GJ/3TTfh6OVpciK5HirLIpdgsVgY0/15KvgEcjT+BGP+HK/xyyIickWZhw+TtmkzAA4+3nh16WJyIrleKssi+fB192Fcr1E4OTiy4O+/mLl9ntmRRETEzsXPmWP72KdHDxxcXU1MI4VBZVnkMhpVrM+THR4G4J2/PmLfqYMmJxIREXuV/vffZOz5GwDHcmXxat/e5ERSGFSWRa7gvhaDaB/WiozsTJ79bTSpmalmRxIRETtjGAYJs2bbtn1734rFycm8QFJoVJZFrsDB4sCbPf5Lea9yRJ07ypuLJ5gdSURE7Ezalq1kHjkCgHPFini0bGFyIiks+pHnBsqKjiY7Lg6rAQejU0lMycHH05FqwR44WMDJ3x/n4GCzY8ol+Hv48XavUTw0Yzi/7VpIy8pN6VO/u9mxRETEDhg5OSTM/f9YZd++fbBYLCYmksJk12V59OjRvPbaa3n21apVi7//zh0PlJ6eztNPP82PP/5IRkYG3bp147PPPiMwMNCMuJeVFR3Nwe63YGRmAuAMlD3/3NHz/7W4uFBtwXwVZjvVPKQRj7V7gE9WfsWbiz+gQYXaVC0banYsERExWcratWTHxALgWr0abvXrm5xICpPdD8OoV68eJ0+etD1Wrlxpe27EiBH89ttv/Pzzzyxbtozo6Ghuu+02E9PmLzsuzlaU82NkZpIdF3eDEsm1eLDVXbSu0oz0rHSemTuatKx0syOJiIiJjMxMEuf9btv27dtXV5VLGLsvy05OTgQFBdke5cqVAyAhIYGvv/6a999/ny5dutCsWTMmT57M6tWrWbt2rcmpL2Yt4BS9BT1OzOHo4MjYni9T1qMMB85EMe6vj82OJCIiJkpevpyc8xe63BrUx7V6dZMTSWGz+7K8f/9+goODqVq1KoMHD+bo0dxBC5s2bSIrK4uIiAjbsbVr16Zy5cqsWbPmsufMyMggMTExz6OoHYwu2AwKBT1OzFPWswxje72MBQszt8/jjz2LzY4kIiImsKamkjh/Qe6GxYJvn76m5pGiYddluVWrVkyZMoUFCxYwceJEoqKi6NChA0lJScTExODi4oKfn1+e1wQGBhITE3PZ844dOxZfX1/bIyQkpAg/i1yJKTmFepyYq3WVZgxtcw8AYxaOZ87OBfT95l7WHt5ocjIREblRkpYswZqSAoBHixa4VKpociIpCnZ9g98tt9xi+7hhw4a0atWKKlWq8NNPP+Hu7n7N533xxRcZOXKkbTsxMbHIC7OPp2OhHifm+0/bIWw6vp2Nx7by5qL3Sc/O4MMVX9CqSjONVxMRKeGy4+JIWnT+N4uOjvj27mVuICkydn1l+d/8/PyoWbMmBw4cICgoiMzMTOLj4/McExsbS1BQ0GXP4+rqio+PT55HUasW7FGox4n5Loxf9nLxID07A4BdMXtZfXiDyclERKSoJc6da7tx36tjR5wCAkxOJEWlWJXl5ORkDh48SIUKFWjWrBnOzs4sWbLE9vzevXs5evQobdq0MTHlpTkU8EKjrkcWL+W9ylHWs4xt2wJ8vOJLDEN3aoqIlFSZx46RsnYdAA4e7vj07GlyIilKdl2Wn3nmGZYtW8bhw4dZvXo1/fr1w9HRkTvvvBNfX18efPBBRo4cydKlS9m0aRP3338/bdq0oXXr1mZHv4iTvz8WF5fLHpPl4My369KwakqMYmP14Q0ciTtu2zaA3bH7WLBnSf4vEhGRYsswDOJ/mQnnL4r49OiBo5enyamkKNn1mOXjx49z5513cvbsWQICAmjfvj1r164l4PyvOj744AMcHBzo379/nkVJ7JFzcDDVFszPdwW/LfuTmLgsmXMHnMicfYwn+4bgUNDL0WIKwzD4ZOVXOFgcsBrWPM+9NH8slfyCaRBc16R0IiJSFNJ37CBj714AnALK4RUebnIiKWoWQ78vJjExEV9fXxISEm7I+OULDMPIcyPY0q1xjP/pCFYDurcoy5N9K6kw27FVUet59Jdn833eycGJ0d2e5VYtiy0iUiIY2dnEvP4G2bG5q/WVHToUj6ZNTE4l16qg/c+uh2GUVDnx8ZybOo34GT/l2d+5sT9PD6iMgwUWbDjLp3OPa+yrnbpwVdlymVHm2dZsXp4/lnf/+oRsa/YNTCciIkUhecUKW1F2rV4N9yaNzQ0kN4TK8g1mZGURO3YsKatXk7x8OVknT+Z5vkuTMoy8vTIWC/yx7iyfzT2hwmyHsnKyiEk8hUH+fzbuzm4ATNv0M4/98hzxaQk3Kp6IiBQya2pq3mWt+/fXNKGlhF2PWS6JLM7OeIWHkzD3N7BaiZ81i4DHHstzTNemZbAa8MHMo8xbewaLBR7tXVF/Ke2Ii5MLP9zzBefS4vM9poyHHzui9/Dy/LGsPbKJO6c9wof93qRmQLUbF1RERApF4vz5eRYgcQ0LMzmR3CgqyybwioggefkKcuLjSd++g/S9e3GrVSvPMTc1K4NhGEz49Ri/rTmDgwUe6aXCbE+CfMoT5FP+8sfUKk+VMpV4atZLnEg4yT3TH+fNHv8lombHG5RSRESuV/bp0yQtXQrkXvTy7dfX3EByQ2kYhgkcXFzw7XOrbTv+l5mXHGpxc/OyPNUvd2XBOavP8Pk8DckojmoGVOOHez6nZeWmpGWlMXLOK3y68uuLZtAQERH7FD97NmTnAOAd0RWnMmUu/wIpUVSWTeLRujXO55fYzjp2jNR16y55XLcWZRn2j8L85e/RKszFkJ+7L5MGvMvdzQYA8PmaqQyf/TLJGSkmJxMRkcvJOHiQtE2bAXDw9sa7WzeTE8mNprJsEovFgt/t/W3bCbPnYD2/bOa/3dKyLE/2qwTArFWn+Wq+CnNx5OTgxHNdnuCNW17ExdGFyAOruHv6o3kWNREREfthGAbxP/9i2/a9tTcObm4mJhIzqCybyK1WLdwa1Adyp5NLXpL/qm89Wpbjib65hfnXFaf5ZsFJFeZi6tb63Zl850eU9yrHobNHuGvaI6yMuvRvFkRExDxpGzeSefgwAM7BFfBs29bcQGIKlWWT+d12Gzjk/jEkLlhITkL+04v1bFWOx2/NLcy/LD/FlIUqzMVVgwp1+OGeL2gUXI+kjGSemPkCk9f/oD9PERE7Yc3IIH7mr7Zt3/79sTg6mphIzKKybDLnChXw6tAeACMjg4R58y57fK825Xi0d0UAflp2im//jFHBKqYCvMry9aAJ9GvQE6th5YNlk3jh99dJy0o3O5qISKmX+Md8cuLjAXCrXx/3evXMDSSmUVm2Az69emE5PwYqZeUqsqKjL3v8rW0D+E+v3MI8IzKWaYtUmIsrFycXRnd7lv92HY6TgyPz9yzhvu+f4GRirNnRRERKrazYWJKWLM7dcHLEb+AAcwOJqVSW7YCjtzc+3c/fXWsYeX7tk58+7QIY2jMYgB+WxjJ9SUxRRpQiZLFYuKNpPz4f8B7+7r78fWo/d0wbyqbj28yOJiJS6hiGQfyMGbap4nxuvhnn8pefU19KNpVlO+HdpQuO/v4ApO/aRfqePVd8Tb/25W2FefqSWKYvVmEuzlpUbsIP93xB7fLViUuN5+EZI/hp6xyzY4mIlCppW7eSvjv3e7BjmTJ4d+9uciIxm8qynbC4uODbp49tO/6XmRjWKy9a0a99eR68Jbcwf7ckhu91hblYC/YN4tu7PqV77S5kW3N4Y9H7jFk4nqycLLOjiYiUeNbMTOJ/+f9UcX63346Di4uJicQeqCzbEY9WLXGpUgWArBMnSF27tkCvu71jeR7oXgGAaYtj+GGpCnNx5u7sxju9RjG84yNYsPDL9t948MfhnEk+a3Y0EZESLWnhQnLOngPArW4d3Js0NjeQ2AWVZTtisVjw7X+bbTthzlysGRkFeu2A8EDu75ZbmKf+GcOMSN0gVpxZLBYeaHUXn/R/G29XL7ZG7+SOaY+wK+Zvs6OJiJRIWadOkfTnn7kbTo74DRqExWIxN5TYBZVlO+NWsybujRoCkJOQQNLixQV+7cBOgdx3c25hnrLwJD8tU2Eu7jpUbc30uycRVqYyp5JPc9/3T/LbroVmxxIRKXHif/4ZIysbAO+uETgHBpqcSOyFyrId8r3tNjg/8XnSn4ts8zwWxB2dA7n3piAAJi84yS/LTxVFRLmBQsuE8N3dE+lYrQ2ZOZm89MdbjF/6KdnWbLOjiYiUCGk7dpC+YycAjn5++PS4xeREYk9Ulu2Qc2AgXh06AOcXKpn721W9/s4uQdwdkVuYv54fza8rVJiLO29XLz7q9xYPt74HgKkbf+LxX54nIS3R5GQiIsWbkZlJ/E8/2bb9bu+Pg6uriYnE3qgs2ymfXj2xuJ9fqGTNGjKPn7iq1w/uGsTgrrm/Qvryj2hmrVRhLu4cLA482eEhxt/6Gm7Obqw5spE7pz3C/tOHzI4mIlJsJS1eTPbpMwC41qqFe7NmJicSe6OybKccvbzw6X7+10CGQcKvM6/6HIO7BnFnl9zC/MXv0cxZdbowI4pJbq7Vie/u+oxg3yCOJ0Rz9/THWLxvudmxRESKneyzZ0mcvyB3w8EB/0EDdVOfXERl2Y55d+6EY9kyAKTv3kParl1X9XqLxcI9EUHc0Tm3ME+ad4K5q1WYS4Ka5avxw92f07JyU9Ky0hg55xU+XfkNVuPKc3OLiEjuSn1xP/6IkZU7j71X5044BwebG0rsksqyHbO4uODXt69tO2HmrwVaqCTPOSwW7r0piIHhuUt1TvztBL+tUWEuCfw9/Jg04F0GN7sdgM/XfMuI2a+QkplqcjIREfuXtmXr/2/q8/XFt1cvkxOJvVJZtnPuzZvjEhoKQFZ0NCmrVl/1OSwWC0O6VeD2jrmF+bO5J5i39kxhxhSTODk48XyXJ3n9lhdwdnRm6YGV3P3doxyNO252NBERu2VNTSV+xgzbtt+gQTi4u5uYSOyZyrKds1gs+N3e37ad8FvBFyr593ke6F6B/h0CAPh0znH+WKfCXFL0qX8Lk+/4iPJe5Th49jB3TnuEVVHrzY4lImKXEubOJSchAQC3BvW1Up9clspyMeBavTruTZoAYE1M+v8KQ1fJYrHw4C3B3NY+tzB/PPs489drCeWSomFwXX645wsaVqhLUkYyj898ninrf8QwDLOjiYjYjYxDUSQvy70p2uLqiv+dd+qmPrksleViwrdf3zwLlWTHxV3TeSwWCw/1CKZvu9zC/NGsYyzcqMJcUgR4leWbOz6kX4OeWA0r7y+byIu/v0F61tX/NkJEpKQxsrOJmz4dzl9E8O3dC6cyZUxOJfZOZbmYcC5fHq/wjgAYWVkkzp17zeeyWCwM7RlMn7blAPjw12P8qcJcYrg4uTC627O82PUpHC2O/LFnMff98AQnE7X8uYiUbkmLl5B1InfdAueQELw6dzY5kRQHKsvFiE+Pnjh45N6AkLJ2HZnHjl3zuSwWC4/0qkjvNuUwDJjw6zEWbTpXWFHFZBaLhTub3sYXA9/D392XPbH7uHPaI2w6vs3saCIipsiKjSXx93m5GxYLZQbfheX8b2xFLkdluRhx9PLEp0eP3A3DIP6Xmdc1HtVisfBo74r0ap1bmD+YeZQlm1WYS5IWlZvw/T2fUyugOudS43h4xgh+2jrH7FgiIjeUYRjETZuGkZUNgHdEV9tMUyJXorJczHiFh+MUkDt8ImPvXtK3b7+u81ksFh67tSI9W5XFMOC9X47y1xYV5pKkom8Fvr3rE7rV6ky2NYc3Fr3PmIXjycrJMjuaiMgNkbxsGRkHDgLgFBCAT+/eJieS4kRluZixODvj2+8223b8LzMxsrOv75wWC4/dWokeLc8X5p+PsnTrtd1AKPbJw8Wdcb1f5amOQ7Fg4Zftv/HQjBGcTdEPRiJSsmWfPUvCrNm2bf+778bBxcW8QFLsqCwXQ+5NGuNaowYA2adPkxwZed3ndHCw8HifSnRvUQarAeN/OkLkNhXmksRisfBgq8F80v9tvF292HJiB3dMG8qumL/NjiYiUiQMwyDu+x8wzq9P4NmhPW61apqcSoobleViyGKx4Dfgdjg/L2TiH3+Qk5R03ed1cLDwZN8Qbm6eW5jfnXGE5dtVmEuaDlVb893dEwktU5nYpNMM+eFJ5u26trm7RUTsWcrq1aTv2gWAo58ffv36mZxIiiOV5WLKpXJlPNu0AcCamkbivHmFcl4HBwtP9Qvhpma5hfmdGUdYsSO+UM4t9iOsTGWm3z2RjlXbkJGdyX//eJPxSz8j23p9Q3pEROxF9rlzxP/8i23bf/BdOHh4mJhIiiuV5WLM99beWFxdAUhevsI2d+T1cnCw8NRtIUQ09cdqhbd/PMzKnfGFcm6xH96uXnzY700ean03AFM3zuDxX54nIS3R5GQiItfHMAzOTZuGkZ4OgGeb1rg3aGByKimuVJaLMUc/P3y6d8vdMAziZ17fVHJ5zu1gYXj/ynRtcr4w/3CYVbviC+XcYj8cHRwZ1uFhxt86GjdnN9Yc2chd3/2H/acPmR1NROSapaxYQcae3PsxHP388BswwOREUpypLBdz3l274lg2d6nO9N17SN+5q9DO7ehgYcTtlenc2J8cK4z9/jBrdicU2vnFftxcqzPT7vqUYN8gjsWf4O7pj7Fk33KzY4mIXLXs06eJn/mrbdv/nrs1/EKui8pyMWdxccHvtn9OJffLdU8l90+ODhaeHlCZTo1yC/Nb3x9mrQpziVSrfHV+uPtzWlRuQlpWGiPmvMJnqyZjNaxmRxMRKRDDMDg3dVqe2S/c69UzOZUUdyrLJYB706a4VKsKQHZsLMnLVxTq+R0dLDwzoDLhDf3IzjF48/vDrNujwlwS+Xv4Men28dzVtD8Ak1ZPYeTsV0jJTDU5mYjIlSUtXkzG/v0AOJYtg1///iYnkpJAZbkEsFgs+P9jPFbivHnkJKcU6ns4Olp4dmAVOjbILcxvTD/M+r9VmEsiZ0cnXug6jDHdn8fZ0Zm/Dqzk7umPcTTuOGsPb6TvN/ey9vBGs2OKiOSRefw4CXPm5G5YLJS5914c3NzMDSUlgspyCeESGopH61YAWFNTSfz990J/D0dHC88NqkKH84X59e8Os2GvZk4oqfo26ME3d3xIgGdZDp6J4o6pQ3lz8QQOnT3Chyu+KLSbSUVErpeRmcm5b76B7BwAvCMicKtVy+RUUlIUq7L89ttvY7FYGD58uG1feno6jz/+OGXLlsXLy4v+/fsTGxtrXkgT+fbpg+X8Ep7Jy5aRdfJkob/HhcLcrr7v+cIcxaZ9KswlVaPgevxw7xc0qFCX5MwUjsQdA2BXzF5WH95gcjoRkVzxs2eTFZ37Pc+5UiV8b+1tciIpSYpNWd6wYQOff/45DRs2zLN/xIgR/Pbbb/z8888sW7aM6OhobvvHDW+liZO/P97dbs7dsFqJ/6XwppLL8z6OFl64I5S29XzJyjZ4bZoKc0lW3qscXw/6AD933zz7R81/m9ik0yalEhHJlb57N8l/LQXA4uxE2Qfux+LsbHIqKUmKRVlOTk5m8ODBfPnll/j7+9v2JyQk8PXXX/P+++/TpUsXmjVrxuTJk1m9ejVr1641MbF5vG+6CcfzX6P0XbtI37mzSN4ntzBXoU1dH7KyDcZMi2LLgetfclvs06bj24lPyztG/XTKWbpNGsjIOaNYd2SzhmWIyA2Xk5TEuW+n2rZ9+92Gc3CwiYmkJCoWZfnxxx+nZ8+eRERE5Nm/adMmsrKy8uyvXbs2lStXZs2aNfmeLyMjg8TExDyPksLBxQW/2/9/92/8Tz9jZGUVyXs5Oznw4p2htKrjQ2a2wehvD6kwl0CGYfDJyq9wsFz8z4UVK4v3LePhn0bQ55t7+W7TLySm6/8BESl6hmFwbsq35CTk/iDvVrcOXp07mZpJrp0930Bu92X5xx9/ZPPmzYwdO/ai52JiYnBxccHPzy/P/sDAQGJiYvI959ixY/H19bU9QkJCCju2qdybNsW1Rg0gd3L2pCV/Fdl7OTs58N+7QmlZO7cwvzb1ENsOqiyVJKsPb2BXzN5851vuWLUNHs7uHD53lHF/fUzExP68umAcu2P33eCkIlKaJC9ZQvqu3IW4HLy9KXPffVgsFpNTybUwDIMPV3xhtzeQ23VZPnbsGE899RTTp0/HrRCnf3nxxRdJSEiwPY4dO1Zo57YHFosFv0GD4Pw/Gonz55MTH19k7+fi5MBLg0NpUcuHjCyDV789xPZDSeRYDbYfSiJya5xtW4qXC1eVLVz6G5AFC2dTz7H40Zm8FDGCGuWqkp6dwawdv3PH1IcZ/N2jzNm5gPSsjBucXERKsszDh4mfPdu2Xfb+ITj6+ub/ArFrK6PWsStmL2CfN5BbDHur7/8we/Zs+vXrh6Ojo21fTk4OFosFBwcHFi5cSEREBHFxcXmuLlepUoXhw4czYsSIAr1PYmIivr6+JCQk4OPjU9ifhmnifviB5GW5SxZ7tGpF2fuHFOn7ZWZZef27KDbuS8LJ0YKnmwMJKTm258v5OvOfXhVpV9+vSHNI4cnMzqTb5wM5mxqX7zFlPcqw8JEZuDi5YBgGW07sYMbW2Szau4xsa+5qkr5uPvSpfwsDG99KZf9KNyq+iJRA1rQ0Yt96i+zTZwDw7tYNv359zQ0l1yQuNZ5ft//OZ6u/ISsn9/uFg8WBOoE1+P7uz4v8NwUF7X92XZaTkpI4cuRInn33338/tWvX5vnnnyckJISAgAB++OEH+p9fpWfv3r3Url2bNWvW0Lp16wK9T0ktyznJKcS8+irWlNwFSso/+wyu1aoV6XtmZlkZMXEfh06m53vMy4NDVZiLkZjEU5xLi8/3+TIefgR5l79o/9mUc8za8Qe/bPuN6MT/D4tqG9qSQY370KFaa5wcnIoisoiUUIZhcO6bb0jdkDuu1SUsjPJPj8TipH9LipMdJ/fw45ZZLPx7KZk5mZc8ZuLt79IurGWR5igRZflSOnXqROPGjZkwYQIAjz76KH/88QdTpkzBx8eHJ598EoDVq1cX+JwltSxD7nzLcT/8CIBLlcqUf/55LA5FN/omx2pw3zu7OZuY/02FAb7OTH6uLo4OGltWGuRYc1gZtY4ZW2azKmo9Brn/5AR5l+f2Rr25rUFPynmVNTmliBQHSZGRxP84AwAHD3cC//tfnMqVMzmVFER6VgYL/l7CjK2zbUMuANycXMnIzrR9b4Abd3W5oP2v2P8o9sEHH+Dg4ED//v3JyMigW7dufPbZZ2bHshue7duTvHwFWSdOkHnkKCmr1+DVvl2Rvd+uw8mXLcoApxOy2HU4mYZVvYssh9gPRwdHwqu1JbxaW47HR/PztrnM2vEHMUmn+GTl10xaPYWImuEMbNyHZpUa6QYdEbmkjENRxP/yi23b/+57VJSLgWNxJ5ixdQ6zd/5hmy3J2dGZbrU6UyewJu8u/eSi11gNq23sclFfXS6IYndluSiU5CvLAOn79nH6/Q8AcPDyosKY13Dw8CiS94rcGsc7M45c8bjnB1WhU2P/Kx4nJVNGdgaL9i5jxtbZbIveZdtfrWwoAxv3oVe9m/F29TIxoYjYk5zkZE6+9DLZZ3LHKXu0bIl3RNc8xzj5+2uOZTuRY81hVdR6ftwyK89vFIN9ghjQ+Fb6NeiJv7svd333CLtj9uW5qnyBBQt1g2oW6dXlUnNlWa7MrWZN3Js1JW3TZqzJyST8/jv+AwYUyXuV8SnY/1JxyUUz97MUD65OrvSqdzO96t3M37H7+WnrHObtWcTBs4cZu+RDJiz/gl51b2Jg4z7UKl/d7LgiYiLDauX0Rx+R9OefcP76XtqmTZydODHPcRYXF6otmK/CbKK41Hhm7fiDn7fN5UTCSdv+tqEtuaNJXzpUbY2jQ+6kDZnZmcQknrpkUQYwMIhJPE1WThYuTi43JH9+dGWZkn9lGSD73DliXh2du0CJgwNBr7yMc4UKhf4+OVaDIeN2cybhymW4fX1fHupRkUB/c/8SiH1Iykhm3q4/mbF1NofO/v+3E42D6zOoSV9uqhlu+j+YInLjJfw2j7gffyRt06YrHhs68xfc69W7Aankny51w563qxf9GvRgYOM++c6CdK03kBeWEnuDX1EoDWUZIOH330n8bR4ArnVqEzBsWJH8amPVznjemH443+eb1vBi64FkrAa4OFno37E8A8PL4+bimO9rpPQwDINNx7cxY8tsluxfTrY1d/pBf3df+jXoye2NbqWSX+H/oCci9idt2zbOTJxETlKSyrKdye+GvTqBNbmjSV+61+6Ku3PhrZFRFFSWr0JpKctGZiYnX3uNnLPnACg7dCgeTZsUyXut2hnPpHkn8lxhDvB15pHz8yxHnUxj0rwTbD+UDOTOwfzgLcGEN/TTDV5icyb5LL/u+J2ft80lNuk0kDuOrX3VVgxq3Jd2YS1tv9ITkZIl6+RJYt9+ByMjQ2XZjhyLO8FP2+Yye8cfJKQnAv+/YW9Qk740rFC32HwfV1m+CqWlLAOkbt7C2S++AMDR35+g0a/i4OpaJO+VYzXYdTiZc4nZlPFxol6oV57p4gzDYNWuBL78/QSn4nNLdb1QT/7TqyLVKxbNDYhSPGVbs1lxcC0zts7Os7LThZtF+tbvQVlP3TAqUlJYU1KIffsdsk/n/pDsHBJC3LRpV3ydynLRKMgNe2U8/MwNeQ1Ulq9CaSrLhmFw5uNPSN+9G7CPlY8ysqzMXH6Kn5bFkpFlYLFAt+ZluO/mCvh5OZuaTezPkbjj/Lx1LnN2zrdd1XBycOLmWp0Y1LgvjSvWLzZXNUTkYobVyplPPyN9V+5MOc4hIfj07MGRO+684mtVlgtXfjfstQtryaDGeW/YK45Ulq9CaSrLAFmxp4h5fQxk54CjI0Evv1QkN/tdrdPxmXyzIJrIbfEAeLo5MLhrEL3bBODkqPIjeaVnZbBw71JmbJ3NzpN7bPtrlKvKoCZ96Vn3Jjxd9BsKkeImfuavJC1aBOROdxr44gtkxcRwuP/tV3ytynLhuNYb9oobleWrUNrKMkDCb7+R+PsfALjWrEnAiOF2czVu5+FkPv/tBAei0wAICXBlaM+KNK9VOv5s5OrtjtnLjK1zmL9nMenZGQB4unjQq+7NDGzchxoBVU1OKCIFkbxqFXHTvsvdcHAg4KlhuNWqRdquXSrLRawk3LB3tVSWr0JpLMtGZiYnx4wh58xZAMo8cD+eLc1fJeeCHKvBok3nmLLwJAkp2QC0rO3D0J4VqViuaMZYS/GXmJ7E3F0LmbFlNkfijtn2N63UkEGN+xJRsyPOjhraI2KP0vfu4/RHH0FO7gw4fncMwrtTJwCyoqM52P0WjMzMfF+veZavzeVu2LujST8aVKhjNxfTCpvK8lUojWUZIG3HDs58mrs0uKOvD0GvvlpkK/tdq5T0HL5fEsOc1afJsYKTo4W+7QK4o3Mgnm7Fd5yUFC3DMFh3dDM/bZ3D0v0ryTFyv/mW8fDntoY9ub1hb4J9g0xOKSIXZMWe4tQ772BNTQXAq3Nn/AcNzHtMdDTZcXH5nkMr+BXc5W7YG9i4D30b9CiWN+xdLZXlq1BayzLAmYkTSdu2HQCvLp3xHzjwCq8wx/HT6Xw+7wQb9+WuK+/v5cSQbhWIaFoGB4eS+ROvFI7YpNP8uv13Zm7/jVPJuUvlOlgc6FC1NYOa9KVtaAscLA4mpxQpvXKSUzg1bhzZp04B4FavHuUeexSLoy6IFLaSfsPe1VJZvgqluSxnnz1LzOjXclf2s1gI/O+LuISEmB0rX+v/TuCLedGcOJs7LrVmJQ/+07sidSp7mpxM7F1WTjbLDq5mxpbZrDv6//laK/kGn59+7hb8z19JWXt4I2//9REvdBlG69DmJiUWKfmMzExOf/wxGfsPAOAcXIHyzz6Lg7u7yclKlkvdsOfj5k3f+j0Y2PjWEnPD3tVSWb4KpbksAyQuWEDC7DkAuFStSvlnn7Hr8UlZ2VbmrD7D93/FkJZhBaBLY38euCWYsj4ajypXFnXuqG36uaSM3IVxXBxduLlWJwY27sM7Sz5iV+xe6gXV4vu7P7frvw8ixZVhGJz98ivSNm8GwMHbm8AXnsepbFmTk5UMuTMG/cWPW2aVmhv2rpbK8lUo7WXZyM4m5vU3yI6NBcD/nrvxatfO5FRXdi4pi2//PMmiTecwDHBzcWBQp0Buax+Ai7N+rS5XlpaVnnv395Y57I7de8ljJt7+Lu3C7OfmV5GSwDAM4n/6meSlS4Hcm/PKjxyBS2ioucFKgOPx0czYOqdU3rB3tVSWr0JpL8sA6X//zekJHwK581oGjR6No1fxGNqw73gqk347zp6juTeGBJVx4eEewbSp66t/EKTAdp7/NeVvu/603ewC4OLoTI86ETQPaUzzkMa6MVCkECQuWkTCzF9zNxwcKPfoo7g3qG9uqGJMN+xdG5Xlq6CynOvsV1+RujF3LKdnh/aUGTzY5EQFZxgGS7fG8c2Ck5xNzF06u3E1L/7TuyJVAjX2TQpmVdR6Hv3l2cseU8EnkGaVGtEspBHNQxpT2a+ifigTuQop69ZzbvJk23Zx+W2mPYpPS+DX7b9f8oa9O5r0o31Yq2Jxw16O1WDX4WTOJWZTxseJeqFeON6Am/dVlq+CynKunPh4To5+DSM9HSwWyj/7DK5Vi9diDmkZOcyIPMWvK0+RlW3g4AA9W5XjnoggvD2czI4ndswwDO767hH2xO7Halht+y0WC2U8/KngHcie2H22aeguCPAsS7OQRrYCXa1sqMqzSD7Stm/nzKTPwZr7d8yndy98e/Y0OZX9yu9m4x0n9zBjy2wW/P1Xsb9hb9XOeCbNO8GZhCzbvnK+zvynV0Xa1fcr0vdWWb4KKsv/l7RkCfE//wLk3pUc+N//YnEqfiXz5LkMvvojmtW7EgDw8XDknpsqcEuLsjhq6Wy5hCtdVZ54+7s0qVifbdG72HR8OxuPbWXHyT1k5WTlOc7f3ZemF648V2pEjYCqxeLKjkhRS9+3jzMff5I7+xLg2bED/nfeqR8u83HhB/hdMbk3G38z6CP+3Le0RN2wt2pnPG9MP5zv8y8PDi3SwqyyfBVUlv/PyMnh1LhxZB45CoDvrb3x6dHD5FTXbsuBJD6fd4IjsekAhAW58Z/eFWlY1dvkZGJPLnxT2h2zL8945QssWKgbVPOimTHSszLYGbOHjce2sunYdrZF77Qtt32Bt6sXTSo1oFml3GEbtcvXwNmx+P0AKnI9Mg8f5tSED3N/cwl4tGjO/9q78/Coy3P/4+/v7DOZyWRPSCAkbIEQ9iCbuyhFa2uLtlbbo7X1VEWrorX1tNp6uljtT63WuvdIj61iW0VbPHVDwZV93xEIS/Z9lsw+398fE4YM2YFkJsn9uq5cZGYehhsSMp95vvfzPGk33CBBuQsnv4G36C20BCJrcwbDgr1QWOX6h3fFzCifLNOu58V7ivusJUPCci9IWI7lP3qU6gd/G7lMptOSc9996LOz413WKQuFVN5aW8dL71fh8kQuoZ9dYuf7l+aSnSpHZwvwB/0sePYb1Ld0fjpYuiWNd37wKgadodMxgVCAXVV72XBsKxuPbmVz+Xbc/paYMWa9mWl5JdHWjZKc8V0+pxADXaCykpr/9whhtxsA06QSMn7wgwF51bI/VDtr2XRsGw+tfIIGT1PMY8Ns2Xxz2hWDYsHetoNOfvz8gW7HPXTj6D6b4JKw3AsSlttren05znffBcA4diyZS+4ckO9c23K4g7z0fhX/t7aOsAoGncKic7P4xnlZmAxymXyoq3LUtHthaivNkkKOLatXzxkMB9lb8wUbj25lw7GtbDq2DYfXGTPGqDMweVgxM0ZMpXTEFCYNKx5wl1KF6EygqoqaRx8l7Ih83xvHjiHjttvQGOQNIkBYDXOw/jCbj21nc/k2NpVvp6K5qtPxf1z0EOeMmt2PFfadv7xfyV9XVnc77sffHMn5U1P7pAYJy70gYbm9sN9P9S9/SbA2cjxw6rXXYj3n7DhXdWYcqvTwzIpyth2MHEaRYdfzvS/lct6UlAH/hkAktrAa5ovaQ2w4tiUaoBtbmmLG6DQ6Jg2bwPThkykdMZWpeSUkGSzxKViI0xCorqH20UcJNUfWjhhG5pN5++1oLEP3+9kX9LGzai+by7ezuXw7W8p3tHsDraBg1BnwBf0xbWEaRcOE7LED+qCkcFjl893NvPZRTXS71+7IzHKCkLDcMe/u3dQ+/gQAGouZnPvvR5uSEt+izhBVVfl0ZzPPv1VOTVOkX6p4ZBI3X57HmLyh+4Nc9C9VVSlrOMKGo1vZeGwrG45upcZVGzNGq2iZkD2WGSOmMmP4ZKYPn0yySXruRWIL1NRQ++hjhJqaANCPGEHm7bcPmP37z5Rmj4MtFTtaZ463s6NqT7tFwSa9iSnDJjJt+CSm503CHfBw5xs/6/Q5B+JBSf5AmPc3N/D6x7WU10XWdWg1oNMq+AKdx1DpWU4gEpY7V790KS1r1gJgnjGdjBtvjHNFZ5YvEOb1j2t4dVUNvkAYRYEFpWlcd8kwUqxydLboX6qqcqypIhqcNx7bGrN3KkRmnYqyRjO9dcHg9OGTB3zvohhcgrW11Dz2e0INDQDo8/LIvPPOQR+UVVWlwlEVDcabyrdzoO5Qu3HpljSmDZ/EtLxJTB8+iXGZY6KLfk91sXGicrYEWbG2jn9+VkeTKwiA1aTlstkZfGVuBrsPu2U3jIFCwnLnQi4XVb94gLCrtWXhlpsxT54c56rOvNpmP//z70pWbY0s8LIYNVx7UQ6Xz8lAr5Ojs0X8VDlqWsPzFjYc3crhxqPtxoxOL4i2bcwYMYUsa0YcKhUCAtXV1D72++iMsm5YDllLlqC1Db6rIaFwiP21B6MtFZuObW93ZQigIC0/Goyn5U1iRBcHGZ2pxcbxVt3oY/kntbyzoQGvP7KndlaKnivmZbJgZjoW44l1Qh3ts5xp1/MD2Wc5sUhY7lrb05a0qank3H8fGvPgPBVvZ5mLZ/5VzhcVHgCGZxr5z8vymFkk3xciMdS56tl4bGt0r+cvOpi5yk/Ji7ZtdHdEd2eHHgjRW4HKSmoeeyy6mE83LIesO+5Aa7fHubIzwxPwsqNydzQYb63Y0W63G51Gy4Tsomg4npo3qddXfvpisXF/+aKihdc+quGj7U3Hz51h1DATi87J4tzJqeg6OedATvAbACQsd01VVer+8CTeXbsAsJ5/PqlXfzPOVfWdUFjl/Y0NLH23MnrZ6KyiZG68LJfhmbJLgUgsjS1NbC7fHm3b2FvzRcwJhHDiiO7jM8/Hj+g++dCDgXJpVyQe/7Fj1P7+8ehVSH1eHpl33D6gZ5QbWprY0hqMN5dvZ3f1XoLh2BM8kwwWpuSWRGeNS4ZNGHK72aiqyqb9Tl77uIbNX7ii908bY+XKc7OZNsaasD9XJCz3goTl7gXr66l64L9R/f4BexR2b7m9IV7+oIo3P60lFI4sRPjq3Ay+dWEOSSbZak4kJqfPxZbyHdG2jV1Vezs9ojvFbGfZ5uXR+wfiwiERf76Dh6h78knCLZFZVsPIfDJu++GA6lFWVZWjTeXRWePN5dspazjSblyWNYPpwyczLS8SjofyCZ3BkMpH2xp57eMaDlZGDpvRaODcSaksOjeTMbmJv1hewnIvSFjuGef779P0j9eA1qOw770XRT/4F8Edq/Xy7IpyNuyLXFpMseq4fsEwLp6ehkajxO3ykRA90eJv6faI7uNMOiNzRpaSk5xFti2LbFtm5MOaSZYtA6NODvERsTw7d1L/7HORiRTAUFhI5m23Jvz2cMf3QD8ejDcf2059S0O7cWMyCqPBeNrwSeQm5yTsLGl/afGFeGd9Pcs/qaW2tc/YZNCwoDSNr52dRXZq4vZSn0zCci9IWO6Zk4/Cti1YQMrXrohvUf1o3R4Hz71VHt32ZmyembkTU3hrbV3MwoQMu56b+mFhghCnwhf0sb1yN69ve4sVu97t1e9NMdvJtmaeCNFtwvTxzy2yJ/SQ0bJhA/VLl0IwcuXCWFRExs03oTElXhuC29/C9opdbGoNxtsqd+EJeGLG6LV6SnLGR2eOp+ROxG6WTHBcgzPAPz+r5a019bi8ka95ilXHV+Zm8OVZGdgsA+9ERgnLvSBhuef8x8qp/u2DkR+OikLWj36EcVRhvMvqN4FgmH9+XsdfV1bh8YW7HNvXW94IcaqO9yrvrt4f09+sKAo51iwuLZ5PjauOamdt5MNVizfg7dFz24xWsk4K0FnWjOjnObYsbMbE7WEUPeNavZrGZa9Ca4QwT5tG+nevR+mnk/m6W5ha66qPnIjXOnO8r+ZAu3akZJONqXklTM+LhOPinHFy9aQDR2u8vP5JDe9vaiQYiny98zKMLDoni4umpWLQD9wdo3qa/wbe2wARV4bhedgvu4zmN/8JqkrDn/9Mzk//q99+QMabXqdh0TlZnD85he89srvLzdSfXVHO7GK7tGSIhPNZ2Xp2Vu1td7+qqlQ6qykdMTWmd1lVVZw+F1XOmhMB2ll7IlC7aqlx1uL0uaIfHe0ve5xJb2o/Qx1zO4tUs/2MBmrZ9ePMUFWV5jffxPn2O9H7kubNI/Xaa1A0/ROaVFXl8Y+f42D9YR7/+DnOyp9OWeORmJaKY80V7X5frj2H6XmTmJY3mWnDJzEqfSQaZeAGvb62s8zFPz6qYc1uR/S+4pFJLDonk9kT7GiG0GubhGXRa7ZLLsGzdRv+sjKC1dU0vfkmqVddFe+y+lV5va/LoAxQ2xxgZ5mrz47pFOJUqKrKk5+8gILS6aEHT37yAnMLZkbDqqIoJJtsJJtsjMsc3elzu/0t1LSZjW4brI/f1+RpxhvwcrjxaId7Rh+n1+pjZqRPhOkTvdTpltQeLa46OVzNGjlDZrZPgRoI0PC/L9Gyfn30PtuCBdiv+Gqf/nuG1TAunzvyRszr4vM2b/Z2Vu1l3h8ua7eF2/HDeyK9xpOZmleSsNutJZKOjqNWFJg9IZlF52QxscAa5wrjQ8Ky6DVFqyXtuv+g+je/QQ0EcX3wIZapUzGOHRvv0vpNgyPYo3Gf7Wxm4kgr2k72lhSivwVCAaocNR0GZQAVlSpHLYFQoNeHHiQZLBSmj6QwfWSnY7wBH7WuupPCdE1MwK53NxIIBShvrmx3gmFbWkVLpjX9pIWIseE605rBuiObYsLVZ2XrB+2uH301gx52u6l75ll8+/dH7lAUUq66CtuFF3T7e1VVxRPwRq86OLzOaPB1+Jw4va6YxxwnPebyuTv9foXImzSj1sDk3GKmtfYbT84txmYcmsHuVHR0HLVOqzB/ehqLzskc8tumSs8ykZ6VEXY7R48ckZ7lXnB8+CGON/8JgC4jnawf/QiNcWj0e+0oc/LzpZ1fZm4r3a7nS6XpXDQ9DXuSvD8V8VftqKXR29zp46lmO9m2zH6sKFYgFKDO1UCNq45adx01rnpqnHXUueuocUVu17sa2vWgdkar0RIKhwjoFHx6LckmG+ePnotJb8KkM2HSGzHqDJh0Rkw6U+RzvRFj622TzoBRZ8SoN7aOaX1Mb0yoy/h9tW92oKaGmj/+EW9FOcFwkKAGnF9fQGNB1onWG2+bENwmEB8PvsFwzyYYumLUGTBqDTh8rnaP/eHrD3Le6Lmn/WcMNd0dR51mG9w7XskCv15wOBzcY7fz2KOPYk7AVbyJSlVVnO+/T7C2DgDj2DEkzZwZ56r6R0iFP79bidvT+Yu1Qaeg0YDXH/kvptXCuDwLk0dZyUoZGj3eQvSVkBrG7W/B4XXh9Dqjs5CRcNZ62+cm1OYQCYdZx6qJ6fj0Z25fXL1WHxOgI4Ha0Bq6I59H7msTunVGzPpIKDeeFL6jn7febvu4UWfoMvx+emgdN//jR9HbbffNDoVD0VYGRxfh9uTZXmt5HResrcLgiwSpFoPCa1OTqEzp/Rt/raIl2WTFZrRiM1lJNtqwHb9ttJJssp14rPXzZOOJ8QatocOFqRpFw4TssXKoTi/05jjqwUwW+PVSI6CmpMAgPca5LyiAZcECmpcvRw0E8Rw+gr6kBENubrxL63NaYO48A8s/qe10zNfOzmT0MDO7j7awcZ+DqgY/62tgfY2H4ZkqpeNsjMuzSIuGEKdACySTTlfXAkPhEE98/AKVzioM/jDJniD6oIpfr5BlzeCrJQvxh/z4gj68QT/eoBdfIPK5L+jDF/ThCfrwBXytYyIfbfepDoQCBEIBnB3MdvaFE8G5NZTrI6HcqNWzp+aLmLF3vPEzUs12XD43Lr+713/WlGM+Lt7tQdM6pVafpOWdWZkoaSmMbxNyTw6+bUPv8dvJRitmvfm0wuynh9Z1uDA1rIYHfXvNmdLZcdRXnpvNOZNSOj2OeqiTsNyqBcBiiXyIHtMlJWE+5xzcH38CgPPzNaR+8xtDoh1j/Pgkvmq28Pb6BhzuE5cYk5N0fGlmGuNHRvrlJtttTJqYxbFaH2v3NLPrsJsDTXBgnQubxcvMomSmj7VhNQ+Nd/JC9Je91fs46K0FvRZVBWMwkg5UVKpdtUwbPumUwlUoHMIXDdR+PK0hOyZ0B314A5HHIyHbG/k8Os4bfSwS0CMfx0O5L3DiedoesXx8XE/4gj6qnDUx95n0pmiwTY7O6B4PvZFQa9Obyf5oG9amXejzdGg1WiwlJWTf+J/cbo3PguVTWZgqIjo/jtrGledmJfRx1IlCwrI4beZJk/AfOkTgWDlhpxP3p5/1aNHHYFA80krRiCSO1HhxtYSwWrTkZ5nabRenKAojskyMyDLhaAmyca+DDfudOFuCfLC5gdXbGplUaOWs8cnkpg/+NxpC9DVVVXlr17so0OHSsNMJV1qNFovBjMXQP1cig+FgNGhHg3jQ3xqyvXgCPv7fh3+kvLkyJkgqikJhWj6PffVX2M3J2IxJ6LVd96CGmpupf+EFfPvLwWwHwDb/Iuxf/3q/bQ3Xkb5cmDpYDYbjqBOFhGVx2hRFwXbBBTQuexU1EMC7ezeGUaMwFnS+In4w0WoUCnN6/qKZbNFxwbQ0zp6cwq4yN2v3OKio87HlCydbvnAyIsvErPHJTMhPkhYNIU5RMByksaW50z0UBlK40ml06Aw6kjo5HfHTQ+s63FdYVVUO1h+mwlFFYXp+t3+O78AB6p97nlBz6+JPnZbUb30L67x5p1X/mWDQGXjlO8/R4GnqdEyaJSXhv5b9YTAdR50oZIEfkQbva+12Xl22DIu0YZwyz85duFatAkBjMZNy9dVopQe8R47Velmz28Guw65oH5nNoqN0nI0Z42xYzfK+Vojeamxpwtnaq6u0eNA2NeP4+uWEkyOtBGmWlAG/9+7xHTB2Ve3rtD2hOGdcl4vfVFXFtWoVTa+9Fj26WpuaSvp/3oixcOic0DrQdXQcdapVx1fmZnLZrPQBeRx1X5MFfqLfmYon4D94EP+RI4RbPLg++IDkSy+VXqgeGJ5p4spME86WNDbsc7BxX6RF48Mtjaze1kRJYRKzJ9ilRUOIXki1pJBqSYnc0LshbCI3awzY7XGt60w63faEcEsLDS/9Bc/mzdH7jOPGkX7j99Ha5EClgWAwH0edKCQsizNGURSsF11I06uvEm7x4C87jHfnTswlJfEubcCwWXRcMDWNsydFWjTW7XFQXudj2wEX2w64GJ5pZNYEO8XSoiGE4PTaE/yHD1P/wgvR7T8BbBfPx37FFShaWXAcb6Gwys4yFw2OIGnJOiYWWGPWw8hx1P0nocPy008/zdNPP01ZWRkAEydO5P7772fhwoUAeL1e7rrrLpYtW4bP52PBggU89dRTZGdnx7HqoU1rsWC94AIcb/0fAO5PP0M/bBi69PQ4Vzaw6LUapoy2MWW0jWO1XtbucbCzzM2xWh/Hamt4x6xlZlGytGgIIchJziInueftJKqq4vrwQ5pefz3adqGxmEm77jrMU6b0VZmiFz7d0cQzK8qpaz6xTWGGXc9/XpaLRqN0cBy1nSvPzaJ4ZFK8Sh7UErpn+V//+hdarZaxY8eiqip//vOf+d3vfsfmzZuZOHEiN998M2+99RZLly7Fbrdz6623otFo+PTTT3v150jP8pnn+uhjPNu3A6BLTydl0ddR9IP7JKC+5vQE2bjXyYZ9Dlyth6FoNAolhUmcVWRneKa0aAjRKbcbGhvhmmsGVRtGb4Wammj43//Fu2t39D5DYSHp3/+eTGokiE93NPGrv5Z1O06vU7homhxHfToG7Ql+aWlp/O53v+PKK68kMzOTl19+mSuvvBKAPXv2MGHCBD7//HNmz57d4+eUsHzmqYEATa+9RrC+AQDz5MlYzzk7zlUNDsFQmF2HW1i3p5ljtSf2Wx2eaWTWeDsTRlrQaaVHTYgYEpbxbN1Kw/++RNh94oAS28XzsX/1qyg6uUKVCEJhlesf3hUzo3wyBbjyvCyumJc56I+j7muDboFfKBTi73//O263mzlz5rBx40YCgQDz58+Pjhk/fjz5+fndhmWfz4fPdyJkOByOTseKU6Po9VjnX0zza/9ADYbwbNuGPi8X46hR8S5twNNpNUweZWXyKCvHan2s29vMjkMnWjSsG7SUtrZo2KRFQ4ghL9zSQtM/XsP92WfR+7R2O2nXX4dpwoQ4ViZOtvWAs8ugDJF9w0vH2SQo96OEfyXdvn07c+bMwev1YrVaWb58OcXFxWzZsgWDwUBKSkrM+OzsbKqqqrp8zgcffJAHHngg5r4vn+nCBfqMdJLmzcO1+iMAXB98gC4jA20X795E7wzPNDI8M4tLZgTZuM/J+r2RFo1VWxr5aFsTJQVJnDU+WS7RCTGIBSoqCDY2dviY79AhXO+9j9pmgsg8dQqp3/42Wqu1v0oUXahp8rNhr4MN+xxs2Ovs0e9pcAS7HyTOmIQPy0VFRWzZsoXm5mb+8Y9/cN1117F69erTes57772XJUuWRG87HA5uHjHidEsVHTBNnEjgWDm+AwcI+/w43n2PlK/JSuszzWrWcd6UVOaV2Nl9pIW1uyMtGtsOuth20EVeppGzipKZWJAkLRpCDCKBigoOfGkhqt/f+SBFwTJrFlq7nZSrriJp3lzZ0jOO/MEwO8vc0XB8pMbb6+dIS074+DaoJPy/tsFgYMyYMQDMmDGD9evX8/jjj/PNb34Tv99PU1NTzOxydXU1OTk5XT6n0WjEaJTFUP1BURSsF5xPoLaGsMNJsLoa99q1WOfOjXdpg5JOq2FSoZVJhVbK63ys3RNp0Siv9bG8tpb3NjYwY5yN0nHJskG9EINAsLGx66AMoKroc3PJumuJLOKLk+pGf2s4drDlgAuvPxx9TKPA+PwkSotszBhj45d/KaPO0XkrRqZdz8QCuSrQnwbcq2U4HMbn8zFjxgz0ej0rV65k0aJFAOzdu5cjR44wZ86cOFcp2tIYjSRfcglNy5dDKIxn8xb0ubkYCwriXdqglpdh5Otnn2jR2NB60MnqrU18vL2Z4pFJzJ4gLRpCDAUp13xLgnI/is4e73Wwfp+DozW+mMdTbTpKxyVTOs7GtLGx60tuujyvy90wfvDlvJj9lkXfS+iwfO+997Jw4ULy8/NxOp28/PLLrFq1infeeQe73c73vvc9lixZQlpaGsnJydx2223MmTOnVzthiP6hz84mac4c3J9EtvVzvb8S3Teukv7lfnC8RePskhR2H3Gzdo+DozVedhxyseOQi9wMI7PGJ1NckIReWjSEGJSk7aLvVTf6WN+6vefWk2ePNTAhPykSkItsjMoxd3poyLySFH52bUG7fZYz7Xp+8OU85pWk9PVfRZwkocNyTU0N//Ef/0FlZSV2u53JkyfzzjvvcPHFFwPw2GOPodFoWLRoUcyhJCK+gvX1hNpsTXScNiUFbVoawepqwoDj7bdJ+drXZP/lfqLVKpQUWikptFJR72Pt7ma2H3JTUedj+Se1vLuxgdKxNkqLOm7RCIVVjtR4cbWEsFq05GeZZHZDiDjzHzsW7xKGLH8wzI5D7ujivKO1sbPHaTYdM8YlM7MomWljrL06QGpeSQqzi+1dnuAn+s+A22e5L8g+y2dOsL6eql88gBrsYusbRYNx3DgUvR7ThAnYLryg/woUMVyeIBv3O9mwN9KiAZEZkOKRScyaYGd4hhFFUdh12MXb6xtwuE+swE5O0vGlmWkUj5TeOTEADLJ9lkNNTTQtfwPn++/j2bix2/EFr/0D88SJ/VDZ4FbV4GPDXifrW2ePfYHY2ePi/CRKiyLtFaOGmWVGP8ENun2WxcAQcru7DsoAahha36N5d+9Gl5ONubi4H6oTJ7OadZw3OZWzJ0ZaNNbtdXCk2suOQ252HHKTm25geKaJdXva70XucAf526oavnE+EpiF6CdqMIjzww9xvPV/qN7e76IgescfCLP9kIsN+yLtFcc6mD2OhOPezx6LgUO+qiIuzKUz8G6LHIft/vhjdOnp6LOz41zV0HVyi8a6PQ62H3JRUe+nor7rlfZvr2+gaESSXB4Uoo95d++m8W9/I1h54iwBjUkW6J5plQ2+SGvFXidbD3YwezwyiZnjkiktSqYwxySzx0OAtGEQmYa/0W4nNSUF+ZY/TapKqAcnImqTk1GDQdRA6yy0RiM/9BOQN6ASCHX/I8Ji1KCV/zwigRkBk6rypsWCUzPAFrKGQoQ9HtRg7EEUisGAxmAgWN9A5Fy3zijoMtJB9rfvVCCo4g+G8QdVQuHYf0uNomDQKRh0GvQ6BcnGg0c4HKayslLaMHoqFaCpqcsfN6JnevIypDY3A8S8OZFLionH2PrRLW/XL9VCxJsXqATKmpsZND9pOlhI3aluTrYVXfPEuwARVxKWW70C5GRnoxloMw4JRg0GCTU0dDtOm5aGotNFZqKdrkgfM60zJWZzX5cpeigQUnG09P5YVQXQahR0GgWtNvKh08iMjIivgKKQPhC+CVWVsNcbc0Q1EL0CpxgM8akrgQRCKuGwikajoO/hZS2ZPRYnOz6z3B0Jy60cwNF9+7qchhfd8+zcSdmiK7sd13Zltr+sjJpHHkENREJZ6jXfwnruuX1ap+iZUFjl+od3xez1ebIUq45rL8qmrMrLoSovhyo9eNrsL9pWpl1P4TAzo1o/CnNMDEs3Sr+zEEC4pQXne+/hXPlBzKl8GpuN5IULsZ57TmSSYQj7dEdTu/2HM+x6bupg/+GKOh/rW0/N237IhS9wIiBrNTCxwErpuMh2mQXZ0ns8FB3fDaM7Q/t/nUgIhoICUq/9Ng1LlwLQ+Orf0GXnYCoaF9/CBFqNwk1f7vo0qVu/OjzmRSocVqlq9HOo0sPBSg+HqjwcrPRS3eintjlAbXMgZncNo15DQbapNURHfi3MMZNkkv5KMTSE3W6cH3yI68MPCLecuOCvGI3YLr4Y2/yLZE0HkaDc0c+iuuYAv/prGT++eiRJJm103+OTFyenJ+uZWWSjdFwyU8fY5GeM6DFZ4EfP99kT3QtUVHDgSwtjZkVOphgMjH773+hzc2Pub/rHP3C+vxIATVISWffcgz47q0/rFT3T0WxOb0+TcntD7QL04WpPzGxPWzmphpgAPWqYmewUQ6enXgkx0IScTpwrV+JatTp2zYZOi/Wcc0m+dCFamy1+BSaQnlzlOlnb2eOZRcmMlNljcZKe5j8Jy0hYPtMCFRUEGxs7fVyXmtouKAOooRB1Tz2Nd+fOyLisLLLuuQetNanPahU9FwqrZ/w0qVBYpaLOx8EqD4cqIy0cB6s8nb4gmo0aCnNaWziGmSjMibRymAwyQyQGjlBTUyQkr/4odmJBoyFp1lkkX3opuszM+BWYYALBMB9vb+J3fzvS7djkJC1zi1MoLbIxdbTMHouuSVjuBQnLiSPs8VDzu/9HoKICAOO4cWT+8LYh36c31DjcwdbZZw+HqrwcrPRwuNpLsINt7BQFctOMFA4ztYboSJjOtOtPaRapL94UCAEQbGjA+e57uD/9JLpGAwCdlqQ5c0hesABdRkb8CoyTUFilrjlAdaOP6kY/VQ1+qhtPfNQ7AoR7mFTu+WY+F0xN69uCxaAhYbkXJCwnlmB9PdW/fYiw0wlA0ty5pH7n23L5bIgLhlSO1XpjAvShSg+Nro5367CatRTmxAbokVkmDPrOd7zpzeIhIXrKX1aGc+VKWjZugvCJxa+KXk/S2Wdju+RidKmpcaywb4XDKo2uIFUNvmgArjoehhv81Db7CXW8JjhKr4VAqPs/66EbRzN5lLSuiJ6RsNwLEpYTj+/gIWofezQ6+2L/yuUkX3ppnKsSiajRGYgG6ONtHEdrvB2++Go0kJdhZFS0lSPya5pNx2c7m7tcyPizawskMIseU8NhvNu24Vy5Et/+L2IeU4xGrOeeg23+fLQ9WImf6FRVpdkdbBeCj9+uafITCHYdNXRahewUA1mpBnLSDGSnRj5yWn+1WbR893e7u+xZzrTrefGeYrkSJHpMwnIvSFhOTC0bNlD/wp+it9Ou+w+S5syJY0VioPAHwxyt8XKwTR/0oUoPjpaOp6ZsFg1eX9enFcoLseiJsM9Hy5o1ON9fSbC2NuYxjc2G9bzzsJ5/Hlqr9Yz/2X3ZQuT0BKMhOCYQN0U+93ayXeRxGg1k2iPhN6tNCM5uDcbpNn23i3c72w3jOHlDK3pLwnIvSFhOXI5336X59eWRG1otGbfcHN2fWYjeUFWVekcgEqCP90NXeiiv8/W4H/K8KSkUDbeQatWTYtORatWTatVhs2ilTWiIC9bV4Vr9Ee7PPiN80sl6umE52C6aT9JZM/vsQJHTbSHy+EIdzgof7yN2e7sOw4oCaTZ9ZFY4JRKCjwfinDQDGckGtD08PKQrZ2JnHiGOk7DcCxKWE5eqqjT97e+4PvwQiFy+zLprCYb8/DhXJgYLrz/M65/U8NJ7p34csE6rYE/SkWbTkWLVk2rTkWrVtQnVJz63mhInWA/2xYzHd+YJq3CgogWHO0RykpbRuRY0Suc78/SUqqp4d+zEtXp1ZBefk15OjeOLsF00H1PJxD79mvdkxrW0KJmatm0Sx3uHW/uIO7vq0laKVRfbHtEajHPSjGSm6DHo+ucE3MH+fSv6j4TlXpCwnNjUcJj651/As3kzAJpkG1l3340+S/ZgFmfGtoNOfvz8gW7HzZuYjE6rodEVpNEVoNEZxOXpwaqjNnRaJRKebXpSrG0Cdut9qVYdKa2fW4yaPgtZg30x4+ns+d6dkMuN+/PPcH/0EcHautgHdVosM0qxzb8Iw4gRp1J6jwSCYbz+MG5viCVP7+90oStEZn178kpvM2tjWiOirRKpRrJTDZgM/ROGhegvPc1/sh+XSHiKRkP6d6+nxtGM/8BBwg4ntU88Qfbdd6NNSYl3eWIQmFhgJcOu73bx0L3XFLabwfIHwzS7gpEA7QzQ5ArS4ArQ5AxGQ3VT62Nub5hgSI2eZNgdg06JBueYgH3SjHWqTYfZ2PP9ZLs7CW0w9H4GGxu7DMoAqt9PsLGxR2FZVVX8hw7h/vhjWjZsRA3Efv20aWlYzz2HpHnzYg4SCYVUPP4QHn8Ynz+Mxx/G44sEXW/r/V5fGG/g+P2t97Xe7/GHWseGY8Z2tI1i57VHfjUbNDHtEZEWCWP0c9mTWIiOSVgWA4JiMJBx8y3UPvoIgYpKQnX11D7xBJlL7pJDS8Rp68mx3j/4cl6Hl3oNOg2ZKQYyU7rvRfUHwjS6gjS1zkq3C9ittxtdQTy+MP6gSk1TgJqm7oO1Ua+Jtn/EtIKcFLCTLTqeWVHe5XM9u6Kc2cX2AX1pu6d96MfHhcIq3raB1h+KBNMmB6HNG9Bs+hyltoZQWCUcVgmFIayqNGSN4khhKRXpY/AeAM/u8kjgbQ213e0Ccbo0Ss/+rj+8YjhfOis9YVqAhBhIpA0DacMYSEJNTVT/7neE6hsAMBQWknnH7WiMxjhXJgaDRFo85PWHI6G6TaCOBOxAa+AO0tB6f3c7EZyKKaOSSLHqz/jz9hfNgT1c/pc7ux331IIHOWovjD12XVXJay6jqGY7Ixv2o1Fj/339WiP7skrYkz2VZnPPDsDQasBs0GIyajAbNJhaP8wGbeTz6P3a1vs1J43VYjZqMOljx+467OpRC5HsPyxEe9KGIQYlbUoKmbffTu0jjxBqduA/dIi6Z54h8+ab+2yVuRg65pWkMLvYnhCLh0wGDTlpRnLSun8j6PGFogH6+Mx0NGC3mcVucgViQ2EXth50dz8ogeU1eXo0zuNXo/8mST4HRbU7mFC3g+SAA41GQWMEraJFqwF3dgGNRaV4xpYw0mKi6HjgNWrbhN82gbdN2NX30eK3nrYQTSw481vVCTFUSFgWA44+K4uM235I7aOPEG7x4Nu9h7rnnyfjBz+QY7HFadNqlAE3A2c2ajEbteSmdx2sVVVl3V4Hv/jzoW6f8/LZGeRlDNwrNs1bG+HD7sdde14GY4f5UDeuJbxvN0oSKEkAke8Bjc1G0uzZJM2biz4np09rPhWn00IkhOgZacNA2jAGKt+BA9Q+8QdUnw8A89QppH//+xKYhehCKKxy/cO7Bv1JaO4dOzly5ZXdjrOccw4a7UkL2xQFU3ExSfPmYZ48aUD8TEmkFiIhBgppwxCDnnH0aDIW30LdH55EDQTwbNlK/Ysvkn7DDSgnv/gJIYChMxPZ0/LVlhZo3b1Cm5ZG0ry5JM2Zgy6tZ73IiSKRWoiEGGwkLIsBzTRuHBm33EzdU0+hBoJ4Nm6iQaMl7frrJDAL0Yl5JSn87NqCQT0TqUtNRTEYut4+TlHQmEyYZ0zHOm8exvHjUTQDdy/hgdhCJMRAIG0YSBvGYODZsZO6Z56GYOSACMvMUtKuu25AXD4VIl4G60loqqoSOHwYx9vv0LJhAyGPhxZviGBIRadVsJi0GPJySZo9B9sll8j2k0IMUXKCXy9IWB4cPFu3Uvf889HAbJ42jfTv3SCBWYghItTUhHvtOtxrPidY2f74cm1KCpZZs0iaMzshF+sJIfqXhOVekLA8eHi2b6fu2WdPBOYpkyOL/vQDd79YIUTnVL8fz9atuNesxbtrV7tznRW9HvPUqSTNnYOxqGhAt1kIIc4sCcu9IGF5cPHs3En9M89Gj6M1TZxI+g/+E43swyzEoKCqKv6DB3GvWYNn40bCLe33VDaOGY1l9hws06ehsVjiUKUQItFJWO4FCcuDj3fPHur++FQ0MBvHjCbjllvkRVOIASzY0EDL2rW4P19DsKam3ePa9DSSZs/GMmsW+qysOFQohBhIJCz3goTlwcm7bx91Tz2N6vUCoB8xgswf3obWJqvFhRgowj4fns1bcK/5HN/efe3bLIxGLNOnYZk9B+O4sSjKwF+gKIToHxKWe0HC8uDlP3yY2j88SdjlAkCXnU3m7T8ccHuoCjGUqKEQ3j17aFm3Hs+WLdGDh9oyFhWRNGc25mnT0BgH7kmDQoj4kbDcCxKWB7dAVRW1jz9BqLERAK3dTsZtt2EYnhfnyoQQx6mqSuDIEdzr1tGyfj1hh7PdGF1mJpbZs0iaPRtdenocqhRCDCYSlntBwvLgF6yvp/bxJ6J9jorZRMZNN2EqKopzZUIMbcG6OlrWr8e9di3Bqup2j2ssFswzppM0axaG0aOlzUIIccZIWO4FCctDQ8jppO6PT+EvK4vcodOSft11WGbOjGtdQgw1IZcbz+ZNtKxdi++LA+0H6LSYJ00madZZmCZOlK0fhRB9oqf5T05rEEOG1mYj8847qH/hBbzbd0AwRP2f/odgfQO2BZfIjJUQfUj1+/Hs2EnLurV4duyI7oXelnHsWCxnnRXZ7i1JTtUTQiQGCctiSNEYjWTcdBONy5bh/vgTAJrfeINgdRWp11wjM1hCnEGqquLbvz+yUG9Tx/sh64blkDRrFpaZM6UPWQiRkCQsiyFH0WpJveYadGlpNL/5T4DIvq11daT/4AdordY4VyjEwBaoqIgs1Fu3nlBDQ7vHtfZkLDNnRvZDHj5cruoIIRKa9CwjPctDWcvGjTQs/XP08BJdZgYZt9yCftiwOFcmxMASqKnBs3EjLes3EKioaPe4YjRinjaVpFmz5NhpIURCkAV+vSBheWjzl5VR9/TThJodQORFPe3667BMmxbnyoRIbMHGxmhA9h8+3H6ARoOpuDiyUG/yZNkPWQiRUCQs94KEZRFsbKTuqacJHD0avS/50oUkX365XCIWoo2Q04ln0yZaNmzAt/+LDscYRo/CMqMUS+kMtPIzVQiRoCQs94KEZQEQ9vtpfOklWtZviN5nKikh/bvXy8p8MaSFW1rwbNlCy4YNePfshXC43Rj9iBFYSiMBWRbqCSEGAgnLvSBhWRynqiqulStpeu11aP2voc1IJ+P738dQUBAzNlBRQbD1VMCO6FJT0efm9mW5QpySnnzvatPT8W7bRsuGDXh27uxwqzddTnZkoV5pKfrs7L4sWQghzrhBEZYffPBBXn/9dfbs2YPZbGbu3Lk89NBDFLU5dc3r9XLXXXexbNkyfD4fCxYs4KmnniK7Fz+4JSyLk3n37KH++RcIu92RO3RaUq68Eut556EoCoGKCg58aSGq39/pcygGA6Pf/rcEZpFQevK9i1ZL0ry5KBpt+4fS07CUzsQysxR9Xp60KQkhBqye5r+EXo68evVqFi9ezJo1a3jvvfcIBAJccskluI8HGODOO+/kX//6F3//+99ZvXo1FRUVfP3rX49j1WIwMI0fT/ZP/wtDYWHkjmCIpmWv0vCnPxFuaSHY2Nh12CByCENXs3dCxENPvncJhQi7W6I3tXY71gsvIOueexj2q1+R8rUrMMiWb0KIISKh91l+++23Y24vXbqUrKwsNm7cyLnnnktzczN/+tOfePnll7nwwgsBePHFF5kwYQJr1qxh9uzZ8ShbDBK6tDSy7lpC0/LluFZ+AEDLho34Dh0i6dzz4lydEH1LYzaTdM7ZWEpnYhw7RrZ6E0IMWQkdlk/W3NwMQFpaGgAbN24kEAgwf/786Jjx48eTn5/P559/3mlY9vl8+Hy+6G2Hw9GHVYuBTNHpSL3qKoxjxtD40kuEWzyE6hto/MtL8S5NiF4Judx4tm7B8c47PRqf8cPbsEye3MdVCSFE4hswYTkcDnPHHXcwb948SkpKAKiqqsJgMJCSkhIzNjs7m6qqqk6f68EHH+SBBx7oy3LFIGOZNg1Dfj71//M/+A8chHDCtvoLERVyOiO7WGzahG/vPgiHCTmdPfq9irZ9v7IQQgxFAyYsL168mB07dvDJJ5+c9nPde++9LFmyJHrb4XAwYsSI035eMbjp0tPJWrIEx7/fpnHZsniXI0SHgvX1eLZuxbNlK779+6O7ugghhDg1AyIs33rrraxYsYKPPvqI4cOHR+/PycnB7/fT1NQUM7tcXV1NTk5Op89nNBoxyklS4hQoWi32L18Geh2eDRu6/w1C9DFVVQkcO4Zny1Y8W7cSOHasw3HajHQs06ajSbZRvnFjP1cphBADV0KHZVVVue2221i+fDmrVq2i8PjOBK1mzJiBXq9n5cqVLFq0CIC9e/dy5MgR5syZE4+SxRBhaPOmTYj+pgaD+A4ciAbkUENDh+N0WVmYp0/DMn06+hEjUBQlsmeyEEKIHkvosLx48WJefvll3nzzTWw2W7QP2W63YzabsdvtfO9732PJkiWkpaWRnJzMbbfdxpw5c2QnDNGndKmpKAZD11tw6fXoUlP7rygxqIW9Xry7duHZug3v9m2EWzwdjjMUFGCeMhnz1KnocnLabe/Wk+9dxWCQ710hhGiV0IeSdLaH54svvsj1118PnDiU5JVXXok5lKSrNoyTyaEk4lS0PQUt7PHgXLkS77bt0cc1ZjMpi76Obf58FL0+XmWKASzU3Ixn23Y8W7fi27sHNRBsP0inxVQ0PhKQJ09Ge9KC547I6ZNCCDFITvDrLxKWxZni3b2bhr/+lVBdffQ+XXY2qd/8Bqbi4jhWJrqTCAEy2n+8bRveHTvxl5V1uEBPYzFjmjgR89SpmIqL0ZjNfVqXEEIMRhKWe0HCsjiTwj4fjhUrcL6/MibomKdPJ+WqK+XydgKK5/HlYZ8P3549eLZtx7tjB6HW/eRPpk1JwTx1CuYpUzCOHYuiS+guOiGESHg9zX/y01aIM0xjNJKyaBGWWbNofOWVyL7MgGfTJrzbt2O75GJsl1yCRnZkSRi9Ob78TITlYG0tnu078O7YjnffPgiGOhynz8uLtFdMmYI+P1+OlxZCiDiQsCxEHzEMH07W3XfTsmYNTa8vJ+x0ogYCON76P9yffIr9q1/BMnu2HCM8BER2rziId8d2PNu3E6yq7nCcotdjHF+EedIkTCUl6FpPKxVCCBE/EpaF6EOKopA0Zw7mKVNofustXKtWQyhEqLmZhv99CefKD7B/9SuYJk2SWcNBJuRwRHav2L4d3+7dne5eoU1LwzypBFPJJExF41AMhn6uVAghRFckLAvRDzQWC6lXXYX13PNoXv46ni1bAQiUl1P31NMYRo3C/tWvYioaF+dKxamKzh7v2oV31y4CR492PFBRMI4ehalkEuZJJehyc+WNkhBCJDAJy0L0I312Fhk33YR37z6aX38d/+HDAPgPHqT2sccwFhWRfOmlGMeNlQA1AARra6Ph2LtnL6rP1+E4TVISpuJiTJNKMBVPRGtN6udKhRBCnCoJy0LEgaloHMaf/BjPli00//OfBCsjB+749u6ldu9eDKNHkbzwUkwTiyU0J5Cw349n+3a8OyMBOVhT0+lYw8j8SECeOBFDYSGKVtuPlQohhDhTZOs4ZOs4EV9qOEzLunU43vo/grW1MY/phw/HNv8iLKWlslVYH/Ls3EnZoiu7HWc56yw0FkuHj2lstkg4Li7GVDwBrc12pssUQghxBsnWcUIMEIpGQ9Ls2VhmzqRl40Yc//53dKY5cOwYDUv/TPPyN7Cefx5JZ58tIawP9Oj4ckWBtjuXaLUYR43CNDESkPUjRshVACGEGIRkZhmZWRaJRVVVPJu34Hz33cgJbm3ptFimTSPpnHMiB1NIODttYbcb7759tKxZi2f3LkL1DR2OU/R69Hm5kZPziosxFhXJyXlCCDGAyQl+vSBhWSQiVVXxHzyI8/2VeLZsaXfssW5YDkmz52A5a6acCtgLqt+P7+BBvHv24Nu9B/+RIx0eKQ2gGI0Yx45t7T0uRpeVJW9QhBBikJCw3AsSlkWiC9bW4vr4E9yffUbY5Yp9UFEwji8iadZszJMnddpTO1SFfT78hw7h2/8Fvi++wH/wIGog0PFgjQZDYQGm8eMxjR8fWZgnveJCCDEoSVjuBQnLYqBQAwE8W7bg+ugjfPu/aD9Ap8U0YQKWadMwTZ4yJLcoC7vd+A4exLdvfyQcHzkCoY6PkwbQ5+ZinBAJx8YxY6S1QgghhggJy70gYVkMRIGaGlrWrsO9dg2huvr2AxQFw6hCzBMnYpo4EX1+/qBrIVADAQLl5fjKyggcPoyvrCxylHQXP9a0aWmYxhdhHD8eU1ERWru9HysWQgiRKCQs94KEZTGQqaqK/8ABWjZuwrN5M6Gmpg7HaaxWjGPHRj7GjUWflzegwnPY7ydYVUWgvBz/4cP4yw7jP3YUgp3PGgPocrIjf+fRYzCOHYMuPb2fKhZCCJHIJCz3goRlMVioqor/UBmezZvw7NgR3YKuI4rJhGHECAwFIzHk56MfPhxdZmbce3RVv59ATQ2BigqClZUEKioIVFQSrKvrcsYYAJ0WQ14ehtGjMY4Zi3HsGNlqTwghRIckLPeChGUxWAXr6/Hu2IF31y58+/cTbvF0/Ru0WnSZGeiH5aLLSEebloYuPR1tWjraZBsai+W0wrTq9xNyuwk3NxNsaCTU2ECwoYFQQyOhhgaCjQ2EHc4eP58uOxtDQQGGkSMjvw7PQzEYTrk+IYQQQ4eE5V6QsCyGAjUcjvT37t+Pb/8X+MvKCDU29vp5NBYzmqQkFIMRxWCIfJwUoNVwCNXvR/UHIr96vYRbWjrfhaIbisGAftgw9LnD0A0bhiE/H0N+vuz8IYQQ4pTJCX5CiBiKRhNpuxgxAtuFFwIQcjjwHz6C/8jhSD9wRSXBmmrUQLDT5wm3eLqfoT6lAhW0dntkNjszMxqO9bm5aNPTB1R/tRBCiMFDwjKRPk+IvMMQYsgZmY8yMh89oCcyAx2sryfU1BRpjWhoJNTUSNjlIuxuIex2E3a7UQOB7meKdVo0ej2KwYjGYol+KNYkdGlpaFNS0aamRD5PTm43Qx1o/cDZ89YMIYQQoieO577umiwkLAPO1hfiESNGxLkSIYQQQgjRn5xOJ/YuthGVnmUgHA5TUVGBzWaTS71nmMPhYMSIERw9elT6wQcB+XoOPvI1HVzk6zm4yNezb6mqitPpJDc3F41G0+k4mVkGNBoNw4cPj3cZg1pycrL8Rx9E5Os5+MjXdHCRr+fgIl/PvtPVjPJxncdoIYQQQgghhjgJy0IIIYQQQnRCwrLoU0ajkZ///OcYjcZ4lyLOAPl6Dj7yNR1c5Os5uMjXMzHIAj8hhBBCCCE6ITPLQgghhBBCdELCshBCCCGEEJ2QsCyEEEIIIUQnJCwLIYQQQgjRCQnLok88+OCDzJw5E5vNRlZWFldccQV79+6Nd1niDPntb3+Loijccccd8S5FnKLy8nK+/e1vk56ejtlsZtKkSWzYsCHeZYlTFAqFuO+++ygsLMRsNjN69Gh++ctfImv4B4aPPvqIyy+/nNzcXBRF4Y033oh5XFVV7r//foYNG4bZbGb+/Pns378/PsUOQRKWRZ9YvXo1ixcvZs2aNbz33nsEAgEuueQS3G53vEsTp2n9+vU8++yzTJ48Od6liFPU2NjIvHnz0Ov1/Pvf/2bXrl088sgjpKamxrs0cYoeeughnn76aZ588kl2797NQw89xMMPP8wf/vCHeJcmesDtdjNlyhT++Mc/dvj4ww8/zBNPPMEzzzzD2rVrSUpKYsGCBXi93n6udGiSreNEv6itrSUrK4vVq1dz7rnnxrsccYpcLhfTp0/nqaee4le/+hVTp07l97//fbzLEr30k5/8hE8//ZSPP/443qWIM+TLX/4y2dnZ/OlPf4ret2jRIsxmM3/5y1/iWJnoLUVRWL58OVdccQUQmVXOzc3lrrvu4u677wagubmZ7Oxsli5dytVXXx3HaocGmVkW/aK5uRmAtLS0OFciTsfixYu57LLLmD9/frxLEafhn//8J6WlpVx11VVkZWUxbdo0nn/++XiXJU7D3LlzWblyJfv27QNg69atfPLJJyxcuDDOlYnTdejQIaqqqmJ+7trtdmbNmsXnn38ex8qGDl28CxCDXzgc5o477mDevHmUlJTEuxxxipYtW8amTZtYv359vEsRp+ngwYM8/fTTLFmyhP/6r/9i/fr1/PCHP8RgMHDdddfFuzxxCn7yk5/gcDgYP348Wq2WUCjEr3/9a6699tp4lyZOU1VVFQDZ2dkx92dnZ0cfE31LwrLoc4sXL2bHjh188skn8S5FnKKjR49y++23895772EymeJdjjhN4XCY0tJSfvOb3wAwbdo0duzYwTPPPCNheYD629/+xl//+ldefvllJk6cyJYtW7jjjjvIzc2Vr6kQp0naMESfuvXWW1mxYgUffvghw4cPj3c54hRt3LiRmpoapk+fjk6nQ6fTsXr1ap544gl0Oh2hUCjeJYpeGDZsGMXFxTH3TZgwgSNHjsSpInG6fvSjH/GTn/yEq6++mkmTJvGd73yHO++8kwcffDDepYnTlJOTA0B1dXXM/dXV1dHHRN+SsCz6hKqq3HrrrSxfvpwPPviAwsLCeJckTsNFF13E9u3b2bJlS/SjtLSUa6+9li1btqDVauNdouiFefPmtdvKcd++fYwcOTJOFYnT1dLSgkYT+5Ku1WoJh8NxqkicKYWFheTk5LBy5crofQ6Hg7Vr1zJnzpw4VjZ0SBuG6BOLFy/m5Zdf5s0338Rms0X7qux2O2azOc7Vid6y2Wzt+s2TkpJIT0+XPvQB6M4772Tu3Ln85je/4Rvf+Abr1q3jueee47nnnot3aeIUXX755fz6178mPz+fiRMnsnnzZh599FFuuOGGeJcmesDlcvHFF19Ebx86dIgtW7aQlpZGfn4+d9xxB7/61a8YO3YshYWF3HfffeTm5kZ3zBB9S7aOE31CUZQO73/xxRe5/vrr+7cY0SfOP/982TpuAFuxYgX33nsv+/fvp7CwkCVLlnDjjTfGuyxxipxOJ/fddx/Lly+npqaG3NxcvvWtb3H//fdjMBjiXZ7oxqpVq7jgggva3X/dddexdOlSVFXl5z//Oc899xxNTU2cffbZPPXUU4wbNy4O1Q49EpaFEEIIIYTohPQsCyGEEEII0QkJy0IIIYQQQnRCwrIQQgghhBCdkLAshBBCCCFEJyQsCyGEEEII0QkJy0IIIYQQQnRCwrIQQgghhBCdkLAshBBCCCFEJyQsCyGE6JVVq1ahKApNTU3xLkUIIfqchGUhhEgwR48e5YYbbiA3NxeDwcDIkSO5/fbbqa+v7/dazj//fO64446Y++bOnUtlZSV2ux2ApUuXkpKS0u+1CSFEf5CwLIQQCeTgwYOUlpayf/9+XnnlFb744gueeeYZVq5cyZw5c2hoaIh3iRgMBnJyclAUJd6lCCFEn5OwLIQQCWTx4sUYDAbeffddzjvvPPLz81m4cCHvv/8+5eXl/PSnPwVAURTeeOONmN+bkpLC0qVLo7d//OMfM27cOCwWC6NGjeK+++4jEAhEH//FL37B1KlTeemllygoKMBut3P11VfjdDoBuP7661m9ejWPP/44iqKgKAplZWUxbRirVq3iu9/9Ls3NzdExv/jFL/jv//5vSkpK2v39pk6dyn333Xfm/+GEEKKPSFgWQogE0dDQwDvvvMMtt9yC2WyOeSwnJ4drr72WV199FVVVe/R8NpuNpUuXsmvXLh5//HGef/55HnvssZgxBw4c4I033mDFihWsWLGC1atX89vf/haAxx9/nDlz5nDjjTdSWVlJZWUlI0aMiPn9c+fO5fe//z3JycnRMXfffTc33HADu3fvZv369dGxmzdvZtu2bXz3u989lX8eIYSIC128CxBCCBGxf/9+VFVlwoQJHT4+YcIEGhsbqa2t7dHz/exnP4t+XlBQwN13382yZcu45557oveHw2GWLl2KzWYD4Dvf+Q4rV67k17/+NXa7HYPBgMViIScnp8M/w2AwYLfbURQlZozVamXBggW8+OKLzJw5E4AXX3yR8847j1GjRvWofiGESAQysyyEEAmmu5ljg8HQo+d59dVXmTdvHjk5OVitVn72s59x5MiRmDEFBQXRoAwwbNgwampqel90B2688UZeeeUVvF4vfr+fl19+mRtuuOGMPLcQQvQXCctCCJEgxowZg6Io7N69u8PHd+/eTWZmJikpKSiK0i5Ut+1H/vzzz7n22mu59NJLWbFiBZs3b+anP/0pfr8/5vfo9fqY24qiEA6Hz8jf5/LLL8doNLJ8+XL+9a9/EQgEuPLKK8/IcwshRH+RNgwhhEgQ6enpXHzxxTz11FPceeedMX3LVVVV/PWvf2Xx4sUAZGZmUllZGX18//79tLS0RG9/9tlnjBw5MrogEODw4cO9rslgMBAKhU5pjE6n47rrruPFF1/EYDBw9dVXt+vFFkKIRCczy0IIkUCefPJJfD4fCxYs4KOPPuLo0aO8/fbbXHzxxYwbN477778fgAsvvJAnn3ySzZs3s2HDBm666aaYWeKxY8dy5MgRli1bxoEDB3jiiSdYvnx5r+spKChg7dq1lJWVUVdX1+Gsc0FBAS6Xi5UrV1JXVxcT2r///e/zwQcf8Pbbb0sLhhBiQJKwLIQQCWTs2LGsX7+eUaNG8Y1vfIORI0eycOFCxo0bx6efforVagXgkUceYcSIEZxzzjlcc8013H333VgslujzfOUrX+HOO+/k1ltvZerUqXz22WentGXb3XffjVarpbi4mMzMzHY9zxDZEeOmm27im9/8JpmZmTz88MMxf5+5c+cyfvx4Zs2adQr/IkIIEV+K2tM9iIQQQsTFz3/+cx599FHee+89Zs+eHe9yekVVVcaOHcstt9zCkiVL4l2OEEL0mvQsCyFEgnvggQcoKChgzZo1nHXWWWg0A+OiYG1tLcuWLaOqqkr2VhZCDFgysyyEEKJPKIpCRkYGjz/+ONdcc028yxFCiFMiM8tCCCH6hMzFCCEGg4FxLU8IIYQQQog4kLAshBBCCCFEJyQsCyGEEEII0QkJy0IIIYQQQnRCwrIQQgghhBCdkLAshBBCCCFEJyQsCyGEEEII0QkJy0IIIYQQQnTi/wMfFsI79DAjUQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "firm_behaviour(28, individual_firm_costs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the price is above the ATC curve, the firm produces at a profit. In this example, it is at prices 32 and above. The green patch shows the profit.\n", "\n", "[Following image is a graph of Average Total, Fixed, and Variable Costs with a profit]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Production at a profit\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "firm_behaviour(36, individual_firm_costs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, we have seen that a firm produces if the price is above the AVC. The question now is: what is the level of production?\n", "\n", "A profit-maximising firm will produce until price is less than or equal to marginal cost. In the above example, the firm produces 8 units. At the 8th unit, the marginal cost to produce that unit is 28, which is less than the price of 36. Thus the firm gets more revenue for the 8th unit than the cost to produce that unit. But the 9th unit costs an additional 38 to produce. The price of 36 is not enough to cover it. Thus it does not produce the 9th unit.\n", "\n", "Therefore, based on the price, each firm looks at its costs and makes a decision to produce. At low prices, only the firms with the lowest production costs produce. As the price increases, firms with higher production costs find it feasible to produce and begin to supply. Thus, the market supply rises with higher prices. Firms with lower costs make extra profits. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 4 }