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solve retirement problem again, with consfunc for transition period
{
"metadata": {
"language": "Julia",
"name": "",
"signature": "sha256:156587c587337dda2eac7912dd846d58c0aa02764fd8bf9ddd7a93f446c7f9b2"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"using ApproXD, QuantEcon, PyCall, PyPlot, Distributions, DataFrames, Optim\n",
"@pyimport seaborn as sns "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"INFO: Loading help data...\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h2>Modelling Retirement</h2>\n",
"<a id=\"index\"></a>\n",
"\n",
"This notebook looks in detail at the retirement problem that has to be solved in Guvenen's model. \n",
"\n",
"<a href=\"#guvsmi2014\">Create a pension system as in Guvenen & Smith (2014)</a>\n",
"\n",
"<a href=\"#solveVF\">Solve the retirement problem</a>\n",
"\n",
"<a href=\"#transition\">Solve the transition problem</a>\n",
"\n",
"The first step is to load the income distribution:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"yit = readdlm(\"C:\\\\Users\\\\tew207\\\\Dropbox\\\\QMUL\\\\PhD\\\\Code\\\\Julia\\\\Guvenen\\\\LaborReal.dat\");"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ymean = mean(yit[:, 40])\n",
"ymedian = median(yit[:, 40])\n",
"\n",
"@printf \"Mean income is %.1f, median income is %.1f\" ymean ymedian"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Mean income is "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"16.2, median income is 11.3"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h3>Guvenen/Smith (2014) Pension Specification</h3>\n",
"<a id=\"guvsmi2014\"></a>\n",
"<a href=#index>Back to index</a>\n",
"\n",
"Guvenen & Smith (2014) calculate pensions as explained in the paper:\n",
"\n",
"<blockquote>\n",
"The pension system in the model - captured by the function $\\Upsilon(\\cdot)$ - mimics the US Social Security system, with one notable difference. In the actual US pension system, retirement income is tied to households' average labor inocme during the working years (denoted by $\\bar{Y}^i$). Adopting this exact structure here, however, would add another state variable - $\\bar{Y}^i$ - to the dynamic problem above, increasing the already high computational burden of the esimation. So, instead, we adopt the same functional form used in the US system of the $\\Upsilon ( \\cdot )$ function, but rather than use $\\bar{Y}^i$, we instead use *predicted* average income given the worker's income at the retirement age ($Y_R^i$). This is accomplished by first running the cross-sectional regression $\\bar{Y}^i = k_0 + k_1 Y_R^i$ and then using the predicted average income implied by this regression, which we denote by $\\hat{Y}(Y_R^i)$. This structure does not add a state variable but recognizes the empirical relationship between average income and income at retirement age implied by each stochastic process. Letting $\\bar{Y}$ denote the economy-wide average lifetime labor income and defining $\\tilde{Y}_R^i \\equiv \\hat{Y}(Y_R^i)/\\bar{Y}$, the pension function is given by:\n",
"$$\n",
"\\Upsilon(Y_R^i, \\bar{Y}) = \\bar{Y} \\times \\begin{cases}\n",
" 0.9 \\tilde{Y}_R^i & \\text{if } \\tilde{Y}_R^i \\leq 0.3 \\\\\n",
" 0.27+0.32(\\tilde{Y}_R^i - 0.3) & \\text{if } \\tilde{Y}_R^i \\in (0.3, 2] \\\\\n",
" 0.81+0.15(\\tilde{Y}_R^i - 2) & \\text{if } \\tilde{Y}_R^i \\in (2, 4.1] \\\\\n",
" 1.13 & \\text{if } \\tilde{Y}_R^i \\geq 4.1\n",
" \\end{cases}\n",
"$$\n",
"</blockquote>\n",
"\n",
"It should be noted that in the code accompanying the paper, the actual numbers used are `0.814` instead of 0.81 and `1.129` instead of 1.13.\n",
"Let's implement this pension system by first running a regression to get the coefficients which will predict income and then defining a function which maps a given last-period income `y` into a pension payment, given the regression coefficients `k_0` and `k_1` and the economy-wide average income in the last period, `avgy`:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ybari = mean(yit, 2)[:] # (100000x1 vector of average lifetime income)\n",
"(k_0, k_1) = linreg(yit[:, 40], ybari) # regression ybari = k_0 + k_1*yit[:,40]\n",
"avgy = mean(yit) # mean income in last period\n",
"\n",
"function get_pension(y::Float64, k_0::Float64, k_1::Float64, avgy::Float64)\n",
"\n",
" ytilde = (k_0 + k_1*y)/avgy \n",
" rratio = 0.0\n",
" \n",
" if ytilde < 0.3\n",
" rratio = 0.9*ytilde\n",
" elseif ytilde <= 2.0\n",
" rratio = 0.27 + 0.32*(ytilde - 0.3)\n",
" elseif ytilde <= 4.1\n",
" rratio = 0.814 + 0.15*(ytilde - 2.0)\n",
" else\n",
" rratio = 1.129\n",
" end\n",
" \n",
" return rratio*avgy\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, we can plot:\n",
" 1. The mapping between final period income and pension, \n",
" 2. The final period income distribution\n",
" 3. The final period pension distribution\n",
" 4. The distribution of replacement rates"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pension = Array(Float64, 1000)\n",
"y = linspace(minimum(yit[:, 40]), maximum(yit[:, 40]), 1000)\n",
"\n",
"for i = 1:1000\n",
" pension[i] = get_pension(y[i], k_0, k_1, avgy)\n",
"end\n",
"\n",
"pension_distribution = Array(Float64, size(yit, 1))\n",
"\n",
"for i = 1:size(yit, 1)\n",
" pension_distribution[i] = get_pension(yit[i, 40], k_0, k_1, avgy)\n",
"end;\n",
"\n",
"\n",
"fig, ax = PyPlot.subplots(2,2)\n",
"ax[1,1][:plot](pension)\n",
"ax[1,1][:set_xticklabels](round(linspace(y[1], y[end], 6)))\n",
"ax[1,1][:set_xlabel](\"Last period income\")\n",
"ax[1,1][:set_ylabel](\"Pension\")\n",
"ax[1,1][:set_title](\"Pension function\")\n",
"ax[1,2][:hist](yit[:, 40], bins = 100)\n",
"ax[1,2][:set_title](\"Last period income distribution\")\n",
"ax[2,1][:hist](pension_distribution, bins = 100)\n",
"ax[2,1][:set_title](\"Pension distribution\")\n",
"ax[2,2][:hist](pension_distribution./mean(yit, 2)[:], bins=100)\n",
"ax[2,2][:set_title](\"Replacement rate distributiuon\")\n",
"PyPlot.tight_layout();\n",
"\n",
"@printf \"The [5,95] percentiles of the pension distribution are %.2f and %.2f\" percentile(pension,5) percentile(pension,95)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The [5,95] percentiles of the pension distribution are "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"5.30 and 12.83"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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2hxU/Npw3bx6dOnXSatNoNDo/Mhw4cCADBw4kKyuLH374gY8++oi5c+fywgsvlDg5NmjQoESSAijLHr0A/VlGRkYlTj6PlhmVR/Fndu/ePa0L96+//sr9+/fx9vZWjleWBg0alFr7Why7jY2NUjcthKhZCgsLCQgIwNzcnOjoaFxdXTE2NiYxMVFrMAojIyPeeOMN3njjDe7du8exY8fYsmULM2bM4MSJE5ialv824eEXpKGoDj49PZ2GDRtiZWWFkZER48aN45VXXtFaT6PRlEgiHqdBgwakp6ej0Wi0znHF5zNbW1vlB5bU1FStbYtv+CvSw+fjR4914cIFvLy8Sv1BDIrOt3/mxyAoeqLRvHlz5el+seIkp2nTpqVuZ2trW+LzAUhLS3vs8XS5xurq0Rfxiz+zhz+jP3sNbdCgAdevXy+xvLKu+7WZlDMJvWvVqhUNGzbkxo0btG3bVvmfo6MjH3zwAZcuXSr3vubMmaOMZ25lZUW/fv2YOnUqBQUFpd4wd+rUibi4uBIjdnz55Zc0atSI5s2b/7ngHmFpaUlaWppSSgD/K03SRYcOHQBKjCK1evVqpW73SU9KOnbsyPfff092drayTK1Wc+jQIdq3b0+dOnUe24eqGqNeCKG7tLQ0fv/9d4YPH07btm2VX1CPHz8O/O9G7M0331ReirWzs2PIkCGMHj2ajIwM5Wlk8bZP8u9//1vr3Pbtt99SUFCAj48PlpaWuLm5cfXqVa3zfOvWrQkPDy9R0vM4nTp1oqCggK+//lprefHIQt7e3rRo0YJnnnmmxDrfffdduY9TXq1atcLW1rbE+fjAgQMEBASQn59Pu3bt+Prrr7VugDMzM/n++++V8/nT6ty5M3fu3MHOzk7rsz158iSRkZGYmJiUup2Pjw9xcXFaPxYlJiaSlJRU5rHKc40t738vpTl27JjW34cOHcLIyEh5Kla/fn1u376ttc6j19AnHb9Tp07cvHlTq2wJiv77kaHQdSNPIkSlKk+5j4mJCTNnzmTx4sUYGxvj5+dHRkYGmzdvJjk5WRnVqDyKRyhauXIlvr6+ZGRksHHjRpo3b17q8ITjx4/n4MGDjBs3junTp9OgQQO++OILTp8+zfLly3WKtTx69erF7t27WbBgAcOGDePy5cvs2LGjzJP8o4o/TxcXF/r168eqVavIzc3FxcWF77//nmPHjilD8VlbW3P37l2OHTtWai3q9OnTOXbsGGPHjiUgIABTU1N2797NzZs3yzUJUGWWcgkhnuzOnTvs2LGjxPLnn38eHx8fnJyc2L17N46OjtSvX59///vfHDx4EGNjY633yLZs2UKjRo3w9PQkOTmZ7du306lTJ6VWvn79+vz000/ExMSUeFr8sOTkZKZOncrYsWO5ffs2H3zwAb6+vnTs2BGAWbNmERAQwJw5cxg0aBBqtZqPP/6Y8+fPK4NIPE7xOadHjx507tyZ9957j+TkZJ5//nliYmLYtm0bQ4YMUUb+mTNnDrNnz2bhwoX07duXc+fOlfulal3ObyYmJsyYMYOlS5fSsGFD/Pz8uHr1Khs2bODNN9/E2tqaWbNmMXHiRCZNmsQbb7xBXl4eERER5OfnExgYWO5jlWbo0KHs3r2b8ePHM2XKFBo3bsyJEyfYtm0bY8aMKfNpkr+/P/v27WPixInMmDGDgoICPvzwQ8zMzMo8VnmusdbW1ly4cIGYmJgn3pA/+jmfP3+e9957j4EDB3L+/Hk2bNjAiBEjlLLjnj17KiVx7du35+jRo5w+fVprH8VPhr755hu6d+9eYj6KoUOH8umnnxIYGEhQUBBOTk4cPXqU/fv3M3369FLLyUTpJIkQlaq8v1aPGDECKysrtm3bxp49e6hXrx4dOnRg7dq1ODk5Kft60v4GDx5MTk4On376KX//+98xNzenS5cuvPPOO6XeqNvb2/PZZ58p45vn5+fj4uLC5s2bS7yQV1psuv4a36VLF+bNm8euXbs4fPgw7dq1Y+PGjbz++usl9l3WMYutXr2ajRs3snPnTtLS0mjdujUbNmygd+/eAAwbNozjx48TGBjIW2+9pYxiUuzZZ5/l73//O++//z7BwcEYGRnh4eFBVFSUUg5VkbELISrWjRs3WLFiRYnlI0aMwMfHh/DwcP72t78xb948zMzM8PX1Zc+ePUybNo3Y2FjefPNNAgMDMTExYf/+/YSHhysv+z48rObUqVPZtGkTkydP5v/+7/9KDERRrH///tja2vL2229Tr149hg4dyttvv620d+3alW3bthEeHs5bb71FnTp1aNeuHdu3b9e62SzP+W/r1q2sW7eOHTt2cO/ePZydnZk9ezbjx49X1hk4cCBGRkZs3ryZgwcP8txzz7Fs2bJyjSr3pPPbo+fA0aNHU69ePSIjI5XR/iZPnsykSZOAol/9t2/fzvr165k1axZmZmZ07NiR1atXa93kPs15tW7dunzyySesXbuW1atXk5mZSdOmTZkzZw5//etfy9zOxsaGTz/9lLCwMObPn4+lpSUTJkzgm2++KXOb8lxjJ0yYQFhYGJMmTWL79u2PvV48unz69On8/PPPTJ06lfr16zNp0iSt2dKnTJlCWloakZGR5Ofn4+fnx9/+9jetoVxffPFFunTpwtq1azl58mSJYVstLCzYtWsXa9euZd26dWRlZdG6dWvCwsIYOnRo2R90GX02ZEaaavBzYl5eHkOHDmXRokXKrxz//ve/Wb16NdeuXaNFixbMnj1ba6x7IYQQ1VNp5/Tbt2+zePFiYmJiaNSoEW+//bZWYnvixAnCwsJISkrCw8OD0NBQrZc+d+zYQWRkJNnZ2fTv35+FCxcqLz2qVCqWLFnCv/71L8zNzZkwYYLWzaSofL169eKFF17QGqZbCFG76f2dCJVKxaxZs0hMTFSyu2vXrjFjxgyGDRvGoUOHGDJkCIGBgdy8eVPPvRVCCPE4pZ3T1Wo1kydPpk6dOnzxxRdMnDiRd955hytXrgBFM9cHBgYyfPhwoqOjsbOz0yrxOHz4MOHh4YSGhrJz507i4+NZvXq10r5q1SouXLhAVFQUISEhbNy4kcOHD1dt4EIIYWD0mkQkJiYycuRIbty4obU8OTmZ1157DX9/f5o2barMcHn+/Hk99VQIIcSTlHVOP378OLdv32bVqlW0aNGC1157jR49eigvNu7duxd3d3fGjRtH69atWb58OTdv3lTGho+KisLf358ePXrg7u7OkiVLiI6ORqVS8eDBA/bt28eCBQtwdXWlT58+TJw4kd27d1d5/EIIYUj0+k7EmTNn8PHxYebMmVoTuXTq1El5BJ6fn88XX3xBXl6evDEvhBDVWFnn9NOnTysj9BQrnpUWID4+Xnn5Fopqlt3c3IiLi8Pb25uEhASCgoKUdg8PD/Lz87l06ZIycdnDE3R5e3uzZcuWygpTlOLRkYmEELWfXpOIUaNGPbb92rVr9O/fn8LCQubMmfPYWRSFEELoV1nn9KSkJJo0acKaNWv48ssvsbW1ZcaMGfTp0wcoGp/dwcFBaxt7e3uSk5PJzMxEpVJptZuammJjY8OdO3eAonHdHx6Bxt7eHpVKRVpamoz5LoQQlUTv70Q8TsOGDdm/fz+LFi1i/fr1jx0xQAghRPWUlZXFgQMHyMzMZOvWrQwePJi33nqLhIQEAHJzc0sMK2lmZkZeXh65ubnK36W15+TklNoGaM1ZIIQQomJV6yFerayscHFxwcXFhV9//ZVdu3bx8ssvl2vbR2eyFEIIoR8mJibY2tqyZMkSAFxdXTl79ix79uyhXbt2mJubl7jhV6lUWFtbl5kQ5OXlUbduXfLz80ttA8o9C7JcL4QQQnfVMom4cuUK9+/f54UXXlCWtWrVSqcZLY2MjMjIyEGtLnzyyrWIiYkx1tZ1JXYDit1Q4waJ3dq6fDfJ+ubg4FBiFtkWLVooozM5OjqSkpKi1Z6amoqbmxu2traYm5uTmppKy5YtASgoKCA9PZ1GjRqhVqtJS0ujsLBQOUZKSgoWFhbKpFNPItcLid1QGGrcILFXxvWiWiYR3333HQcOHNCarv4///lPiVkHn0StLqSgwLD+Qykmsde82AvUhZy/epfMB/k6zZZqbGyMpaUZ2dl5FBbWvLj/DEOO3cTEmCG9ntN3N8rF09OTzZs3a93o//rrr8pEkh4eHsTGxirr5+TkcPHiRYKCgjAyMsLd3Z2zZ88qL1+fO3cOU1NTXFxcKCwsxNTUlLi4ODp06ABAbGws7u7uOvWxpp43KoLEbnixG2rcYNixV7RqmUS8+uqrREREsGbNGoYPH86PP/7IV199xZ49e/TdNSEqRer9HLYc/A9Xb2XouyuiBqkpScTAgQMJDw8nJCSECRMm8MMPP/DDDz+wd+9eoGh29cjISCIiIvDz8yM8PBxnZ2dllL7Ro0ezaNEi2rRpg4ODAyEhIYwcORJzc3OgaBbdkJAQwsLCSE5OZvv27aXO5CyEEKLiVMskwtHRkcjISMLCwti9ezdNmzZl/fr1uLq66rtrQlS4uCspRP7jIg9UBfruihCVwsrKiu3btxMSEsKgQYNwcnLiww8/VM7pTk5ObNiwgbCwMDZt2oS3t7fWELADBgwgKSmJxYsXk5eXR9++fZk7d67SHhwcTEhICGPHjsXa2pqgoCBl5CchhBCVw0ijS91EDZOWlm1wj6xMTY2xtbWU2GtA7AXqQvZ9/yvfnCmamMvICF7t1pKXXnDG2NiI8r7maWpqjI2tJek1JO6KZOixOzqUr+ZfPFlNOW9UpJp2zqxIhhq7ocYNErutreWTV9R1vxW+RyHEEz1avtTA0oyAv7TFtbnuY9qbmhpjXscEszomGBvYCDOGHrsQQgihL5JECFHFHi1fcmthy6RBbWlgafaELYUQQgghqgdJIoSoImWVL73i0wJjY8P6FV0IIYQQNZskEUJUgYosXxJCCCGE0DdJIoSoZFK+JIQQQojaRpIIISqJlC8JIYQQoraSJEKISiDlS0IIIYSozSSJEKKCSfmSEEIIIWo7SSKEqCBSviRE7ZKdnc3ly5eUv597zgVLy4qfsEkIIWoiSSKEqABSviRE7XP58iXeeX8/9Rs2I/PudVbNGoqXVwd9d0sIIaqFajHlaV5eHq+88goxMTHKsnPnzvH666/j5eVFv3792Lt3rx57KETZ4q6kEPLxGSWBcGthS8hfO0kCIUQtUL9hM2wat6F+w2b67ooQQlQren8SoVKpmD17NomJiRgZFZV8pKSkMGnSJEaPHs2qVatISEggODgYBwcHevTooeceC1FEypeEEEIIYaj0mkQkJiYye/bsEsuPHDmCg4MDb7/9NgDNmjXj1KlTfPXVV5JEiGpBypeEEEIIYcj0Ws505swZfHx8+Pzzz7WW+/r6snz58hLrZ2VlVVXXhCiTlC8J8XillagWy8zMpHv37hw4cEBr+YkTJ3jllVfw9PTE39+fGzduaLXv2LGD7t274+3tzYIFC8jNzVXaVCoV7777Lh07dqRbt25s3769cgITQgih0GsSMWrUKObPn4+FhYXWcicnJ9q3b6/8fffuXQ4dOoSPj09Vd1EIRYG6kM++vcKG6PM8UBVgZASDu7dk1khPGb5ViP9SqVTMmjVLq0T1YatXryYlJUWr7datWwQGBjJ8+HCio6Oxs7MjMDBQaT98+DDh4eGEhoayc+dO4uPjWb16tdK+atUqLly4QFRUFCEhIWzcuJHDhw9XbqBCCGHg9P5OxJPk5uYyY8YMHBwceP3113Xa1sSkWrw3XqWKY5bYK1Zqeg7hB87z683/li9ZmTF1cDvcWthV+LF0Jd+5YcdenZRVolrs7NmznD59Gnt7e63le/fuxd3dnXHjxgGwfPlyunbtypkzZ+jYsSNRUVH4+/sr5axLlixhwoQJvPPOO6jVavbt28e2bdtwdXXF1dWViRMnsnv3bvr27VtpsQohhKGr1klEdnY206ZN4/r163z66aeYm5vrtL21dd1K6ln1J7FXnNMJt/ngsziyc/IB8GyiJZfyAAAgAElEQVTTiFlveGNb3+IJW1Yt+c6FvhWXqM6cORNPT0+ttry8PBYtWsTixYt57733tNri4+Pp2LGj8reFhQVubm7ExcXh7e1NQkICQUFBSruHhwf5+flcunQJtVpNQUEBXl5eSru3tzdbtmyppCiFEEJANU4isrKymDhxIklJSezcuZNmzXQfXi8jIwe1urASeld9mZgYY21dV2KvgNgL1IXsOZrIP09fB4pGXxri24q/dG0JBWrS0rL/9DEqgnznhh17dTJq1Kgy27Zs2YKbmxtdunQp0ZaSkoKDg4PWMnt7e5KTk8nMzESlUmm1m5qaYmNjw507dwCwtbXF1NRUa1uVSkVaWhq2tvKukhBCVIZqmUQUFhYyffp0bt68ya5du2jZsuVT7UetLqSgwLBuLIpJ7H8u9seNvlRYqKGwUFMRXa1Q8p0bZuw1QWJiIp9//jlfffVVqe25ubmYmWm/V2RmZkZeXp7yAnVZ7Wq1utQ2KHr6UV6llYc9uszExBhT0+pXRva0pBzQ8GI31LhBYq8M1TKJ2LdvHzExMWzevBkrKytSUlIAqFOnDjY2Nnrunajt4q6kEPmPizxQFQBFoy9NGtRWXp4W4iloNBree+89goKCsLOz01pezNzcvMQNv0qlwtrausyEIC8vj7p165Kfn19qG0DduuV/UlPaU51Hl1lb18XW1rLc+6wpqtsTrapkqLEbatxg2LFXtGqZRHzzzTdoNBomT56stbxTp05ERUXpqVeitpPJ44SoeLdu3eLcuXP88ssvrFixAih68rB48WK+/vprIiIicHR0VH4sKpaamoqbmxu2traYm5uTmpqqPJUuKCggPT2dRo0aoVarSUtLo7CwEGPjol/bUlJSsLCwwNrautz9LC6Jy87O5pdfLgFw6dLFEutUlzLGiiDlgIYXu6HGDRJ7ZSRP1SaJuHTpkvLvbdu26bEnwhDJ5HFCVI7GjRvzr3/9S/lbo9EwZswYxo4dy6BBg4CiF6VjY2OVdXJycrh48SJBQUEYGRnh7u7O2bNnlZevz507h6mpKS4uLhQWFmJqakpcXBwdOnQAIDY2Fnd3d536WVwSd+HCBd55fz/1GzYj+eoZHFt1LLFObVNb4yoPQ43dUOMGw469olWbJEIIfZHyJSEqj4mJCc7OziWWNWzYUHlZetiwYURGRhIREYGfnx/h4eE4OzvTqVMnAEaPHs2iRYto06YNDg4OhISEMHLkSGXEvsGDBxMSEkJYWBjJycls375deerxNOo3bIZN4zZk3r3x5JWFEMJASRIhDJaULwlRPTg5ObFhwwbCwsLYtGkT3t7ehIeHK+0DBgwgKSmJxYsXk5eXR9++fZk7d67SHhwcTEhICGPHjsXa2pqgoCD69Omjj1CEEMJgSBIhDJKULwlRuR4uUX3U0aNHSyzz9fXF19e3zG0CAgIICAgotc3CwoIVK1b8qacPQgghdCNJhDA4cZdTiDwk5UtCCCGEEE9LkghhMKR8SQghhBCiYkgSIQxCaeVLk//SFhcpXxJCCCGE0JkkEaLWk/IlIYQQQoiKJUmEqLWkfEkIIYQQonJIEiFqJSlfEkIIIYSoPJJEiFon9pc/+OjLC1K+JIQQQghRSYz13YFH5eXl8corrxATE6O1/Nq1a3h4eOipV6ImKFAXsu1gAuv2/swDVQFGRjC4e0tmjfSUBEIIIYQQogJVqycRKpWK2bNnk5iYiJHR/2rWb9++zeTJk8nLy9Nj70R1lno/h61f/odfb0r5khBCCCFEZas2SURiYiKzZ88usfzIkSMsWrSIRo0a6aFXoiZ4dPSlti3tmPiKmzx9EEIIIYSoJNUmiThz5gw+Pj7MnDkTT09PZfmxY8eYOXMmLVq0YOzYsXrsoahuSht9aXRfF17ydqKwUKPn3gkhahN1QR6//HJJ+fu551ywtLTUY4+EEEK/qk0SMWrUqFKXL1u2DIDTp09XZXdENVfa6EvThrSji5czaWnZkkQIISrUg/vJRB66Q/1TWWTevc6qWUPx8uqg724JIYTeVJskojKYmFS798YrXXHMtTn22F/+4KOvLvAg93/lS1NebYtdg7pA7Y69NIbwnZdFYq+e8vLyGDp0KIsWLaJTp04AnDt3jhUrVvDLL7/g6OjIhAkTGDFihLLNiRMnCAsLIykpCQ8PD0JDQ3F2dlbad+zYQWRkJNnZ2fTv35+FCxdiYWEBFL1Pt2TJEv71r39hbm7OhAkTGD9+fIXHVb9hM2wat6nw/QohRE1Uq5MIa+u6+u6C3tTG2PMLCtl56AIHj/8KgLERjOrrwojez2Hy0ORxtTH28jDUuMGwY69uShsgIyUlhUmTJjF69GhWrVpFQkICwcHBODg40KNHD27dukVgYCBvvfUW3bt3Z+PGjQQGBvLll18CcPjwYcLDw1mzZg12dnYEBwezevVqFi5cCMCqVau4cOECUVFR3Lx5k3nz5tGkSRP69u2rt89BCCFqu1qdRGRk5KBWF+q7G1XKxMQYa+u6tS721PQcwg+c/9/oS1ZmTBvcDtcWdmTcfwDU3tifxFDjBom9uiVPjxsgw8HBgbfffhuAZs2acerUKb766it69OjB3r17cXd3Z9y4cQAsX76crl27cubMGTp27EhUVBT+/v706NEDgCVLljBhwgTeeecd1Go1+/btY9u2bbi6uuLq6srEiRPZvXu3JBFCCFGJanUSoVYXUlBgWDcWxWpT7I+OvvTw5HGlxVibYteFocYNhh17dVLWABm+vr60bdu2xPpZWVkAxMfH07FjR2W5hYUFbm5uxMXF4e3tTUJCAkFBQUq7h4cH+fn5XLp0CbVaTUFBAV5eXkq7t7c3W7ZsqYwQhRBC/FetTiJEzVba6EuvdmvJKz4tMH6ofEkIUT2UNUCGk5MTTk5Oyt93797l0KFDSmKQkpKCg4OD1jb29vYkJyeTmZmJSqXSajc1NcXGxoY7d+4AYGtri6mpqda2KpWKtLQ0bG1lrhghhKgMNSqJeHgCOlG7lTb6kkweJ0TNl5uby4wZM3BwcOD1119XlpmZac/rYmZmRl5eHrm5ucrfpbWr1epS2wCZoFQIISpRtUwiLl26VGJZ586duXjxoh56I6ra48qXhBA1V3Z2NtOmTeP69et8+umnmJubA2Bubl7ihl+lUmFtbV1mQpCXl0fdunXJz88vtQ2gbt3yvzOi60hfJibGmJpW3xGyykNGNzO82A01bpDYK0O1TCKEYZLyJSFqr6ysLCZOnEhSUhI7d+6kWbNmSpujoyMpKSla66empuLm5oatrS3m5uakpqbSsmVLAAoKCkhPT6dRo0ao1WrS0tIoLCzE2LjoQpmSkoKFhQXW1tbl7l/xS+rlfVnd2routra1Y7K56vaCflUy1NgNNW4w7NgrmiQRolqQ8iUhaq/CwkKmT5/OzZs32bVrl5IMFPPw8CA2Nlb5Oycnh4sXLxIUFISRkRHu7u6cPXtWefn63LlzmJqa4uLiQmFhIaampsTFxdGhQ9Hkb7Gxsbi7u+vUx+IRvjIycsq9flpatk7HqG5kdDPDi91Q4waJvTKSJ0kihN5J+ZIQtdu+ffuIiYlh8+bNWFlZKU8d6tSpg42NDcOGDSMyMpKIiAj8/PwIDw/H2dlZmahu9OjRLFq0iDZt2uDg4EBISAgjR45UyqEGDx5MSEgIYWFhJCcns337dlasWKFTH4tH+CrvzUVtGhGsNsWiK0ON3VDjBsOOvaJJEiH0RsqXhDAM33zzDRqNhsmTJ2st79SpE1FRUTg5ObFhwwbCwsLYtGkT3t7ehIeHK+sNGDCApKQkFi9eTF5eHn379mXu3LlKe3BwMCEhIYwdOxZra2uCgoLo06dPlcUnhBCGSJIIoRdSviRE7fbwABnbtm174vq+vr74+vqW2R4QEEBAQECpbRYWFqxYsULnpw9CCCGeniQRospJ+ZIQQgghRM0mSYSoMlK+JIQQQghRO0gSIapEanoOmw/+h99uS/mSEEIIIURNJ0mEqHRSviSEEEIIUbtIEiEqTWnlS4O7tWSglC8JIYQQQtRo1WLu77y8PF555RViYmKUZTdu3GDcuHF4eXkxcOBAfvzxRz32UOgqNT2H5bt/UhKIBpZmzH3di0FdW0oCIYQQQghRw+k9iVCpVMyaNYvExESMjIpuLjUaDYGBgTg4OBAdHc2rr77K9OnTuX37tp57K8oj7nIKIdvPKO8/uLWwJeSvneT9ByGEEEKIWkKv5UyJiYnMnj27xPJTp05x48YN9uzZg4WFBQEBAZw8eZLo6GimT5+uh56K8pDyJSGEEEIIw6DXJOLMmTP4+Pgwc+ZMPD09leXx8fG0a9cOCwsLZVmHDh2Ii4vTRzdFOcjoS0IIIYQQhkOvScSoUaNKXZ6SkkKjRo20ltnZ2ZGcnFwV3RI6ktGXhBBCCCEMS7UcnSknJwczM+0bUDMzM/Ly8nTaj4mJ3l/5qHLFMVdF7AXqQj4/msjh09eBovKlob6t9PbydFXGXp0YatwgsQshhBD6Ui2TCAsLC9LT07WW5eXlaZU3lYe1dd2K7FaNUtmxJ997wKpPfuLy9aLvyba+OXPffAH3Z+0r9bjlYajfu6HGDYYduxBCCKEP1TKJcHR05MqVK1rLUlNTcXBw0Gk/GRk5qNWFFdm1as/ExBhr67qVGnvsL3/w0VcXeJBbVL7UtqUdU15tSwMrc9LSsivlmOVRFbFXR4YaN0jskjwJIYTQl2qZRLRv356IiAhUKhXm5uYAxMbG0rFjR532o1YXUlBgWDcWxSoj9ieNvlRdPmtD/d4NNW4w7Niro7y8PIYOHcqiRYvo1KkTUDT3z8KFC4mPj6dJkya8++67dO3aVdnmxIkThIWFkZSUhIeHB6GhoTg7OyvtO3bsIDIykuzsbPr378/ChQuVp9MqlYolS5bwr3/9C3NzcyZMmMD48eOrNmghhDAw1bKotnPnzjzzzDMEBwdz5coVIiIiSEhIYPjw4frumsGSyeOEEOXxNHP/3Lp1i8DAQIYPH050dDR2dnYEBgYq+zx8+DDh4eGEhoayc+dO4uPjWb16tdK+atUqLly4QFRUFCEhIWzcuJHDhw9XbeBCCGFgqmUSYWxszKZNm0hJSWHYsGF89dVXbNy4kcaNG+u7awZJJo8TQpRHYmIiI0eO5MaNG1rLi+f+Wbp0Ka1atSIgIABPT0+io6MB2Lt3L+7u7owbN47WrVuzfPlybt68yZkzZwCIiorC39+fHj164O7uzpIlS4iOjkalUvHgwQP27dvHggULcHV1pU+fPkycOJHdu3dXefxCCGFIqk0506VLl7T+btasGbt27dJTbwTI5HFCCN087dw/8fHxWuWqFhYWuLm5ERcXh7e3NwkJCQQFBSntHh4e5Ofnc+nSJdRqNQUFBXh5eSnt3t7ebNmypTJDFUIIg1dtkghRvcjkcUIIXT3t3D8pKSklBs6wt7cnOTmZzMxMVCqVVrupqSk2NjbcuXMHAFtbW0xNTbW2ValUpKWlYWsr5ywhhKgMkkSIEmTyOCFERXrS3D+5ublltufm5ip/l9auVqtLbQN0mltIlzlH1AV5XLnyi7Lu88+7YGlpWe5jVRcyz4rhxW6ocYPEXhmeKol48OABV65cIT8/H41Go9Wm6whKovqQ8iUhRGUoa+6funWLhqg1NzcvccOvUqmwtrYuMyEo3j4/P7/UNkDZf3kUD5dbnmFzH9xP5qOv7lD/RCaZd6/z0bIxNfraZ8hDBRtq7IYaNxh27BVN5yTi22+/Zd68eWRlZZVoMzIy4uLFixXSMVG1pHxJCFFZypr7p7jEydHRkZSUlBLtbm5u2NraYm5uTmpqKi1btgSgoKCA9PR0GjVqhFqtJi0tjcLCQoyNi35tS0lJwcLCAmtr63L3sXiukYyMnHKtX79hM2wat1G21eccOU9L5lkxvNgNNW6Q2CsjedI5iVizZg1dunRh2rRpWFlZVXiHRNWT8iUhRGV60tw/Hh4exMbGKuvn5ORw8eJFgoKCMDIywt3dnbNnzyrrnzt3DlNTU1xcXCgsLMTU1JS4uDg6dOig7Nvd3V2nPhbPNfI0Nxc1fZ6Smt7/P8NQYzfUuMGwY69oOicRSUlJbNmyhebNm1dGf0QVkvIlIURVeHjun6lTp/Ldd9+RkJDAypUrARg2bBiRkZFERETg5+dHeHg4zs7OykR1o0ePZtGiRbRp0wYHBwdCQkIYOXKkkpAMHjyYkJAQwsLCSE5OZvv27axYsUJv8QohhCHQOYlo3rw5d+7ckSSihpPyJSFEVSme+2fBggUMGzaM5s2ba8394+TkxIYNGwgLC2PTpk14e3sTHh6ubD9gwACSkpJYvHgxeXl59O3bl7lz5yrtwcHBhISEMHbsWKytrQkKCqJPnz5VHqcQQhgSnZOIuXPnEhoaysyZM2ndunWJUTGaNGlSYZ0TlUPKl4QQlU3XuX98fX3x9fUtsz0gIICAgIBS2ywsLFixYoU8fRBCiCqkcxIxbdo01Go1gYGBJdrkxerqTcqXhBBCCCFERdA5ifj4448rox+ikuXlq1nz+TkSk+4DUr4khBBCCCGens5JROfOnZV/37t3D1NTU52G0dPF3bt3WbJkCSdPnsTW1papU6cyZMiQSjlWbfePk9eUBELKl4QQQgghxJ/xVJPN7dy5k4iICO7evQtAo0aNmDBhAuPGjauwjmk0GqVkateuXdy+fZv58+djZWXFSy+9VGHHMQQ3U7P5+tQ1AFyb2zJrpKeULwkhhBBCiKemcxLx2WefsWbNGkaPHk3Hjh0pLCzk7NmzrF27FktLS0aMGFEhHUtISODcuXMcOXKEpk2b4uLiwoQJE4iMjJQkQgeFGg1R/7yEulCDqYkxY/s9LwmEEEIIIYT4U3ROInbs2ME777zDmDFjlGUvv/wyzZs3JyoqqsKSiBs3bmBnZ0fTpk2VZc8++yzr169HrVZjYmJSIcep7X74+TZX/lvGNKhrCxxt6+m5R0IIIYQQoqYz1nWDW7du0aNHjxLLu3Xrxu+//14RfQLA3t6ejIwMcnNzlWV37tyhoKCAzMzMCjtObZaRncfe7xIBaGJvSf/OzfTcIyGEEEIIURvo/CTimWee4fz58zRrpn1DmpCQgL29fYV1zNPTEwcHB0JDQ3nvvfe4c+cOO3fuxMjIiPz8/HLtw8RE5xypxiuO2cTEmD3fJZKdWzQXxPgBrliYP9UrMDXGw7EbEkONGyR2IYQQQl90vqscNWoUS5cuJT09nQ4dOgAQGxvL+vXrtUqc/iwzMzPWrVvHzJkz8fb2pmHDhvz1r39l5cqVWFpalmsf1tZ1K6w/Nc2vtzM5kXAHgL4vNudFDyc996jqGOr3bqhxg2HHLoQQQuiDzknEmDFjuHnzJsuXL6egoOhXblNTU15//XWmTp1aoZ1zd3fn22+/5e7du9ja2vLdd9/RoEED6tUrX11/RkYOanVhhfapujMxMca8rhnhe88BYG1pxqtdW5CWlq3nnlU+ExNjrK3rGtz3bqhxg8QuyZMQQgh90TmJMDExYcGCBbz11ltcvXoVjUZD69atsbKyqtCOpaenExgYSHh4OA0bNgTg+PHjdOrUqdz7UKsLKSgwrBsLgD1HLpOclgPA672exaKOiUF9Dob6vRtq3GDYsQshhBD6UK4k4syZM3h6elKnTh3OnDlTov3ixYvKvzt27FghHbOxsSErK4vVq1czZcoUTp48yYEDB9i1a1eF7L+2SkrJIvroFQDatrSjs5ujnnskhBBCCCFqm3IlEWPGjOHHH3+kYcOGj33vwcjISCuh+LM+/PBDFi1axF/+8heaNm3KunXr8PDwqLD91zaFGg3bD11EXaihjqkxY15+DiMjmRNCCCGEEEJUrHIlEUeOHMHW1lb5d1Vp2bKlPHnQwb/jbylzQgzu3hIHmRNCCFFN/PbbbyxdupT4+HhsbGzw9/fH398fKJoXaOHChcTHx9OkSRPeffddunbtqmx74sQJwsLCSEpKwsPDg9DQUJydnZX2HTt2EBkZSXZ2Nv3792fhwoVYWFhUeYxCCGFIyjVGYNOmTTE2Nlb+/fD/HBwcSEtLw8bGRmtiOFG17mfnsfe7XwFo1rg+/V9sruceCSHE/wQGBmJnZ8cXX3zBggUL+PDDDzly5AgajYbAwEAcHByIjo7m1VdfZfr06dy+fRsompsoMDCQ4cOHEx0djZ2dHYGBgcp+Dx8+THh4OKGhoezcuZP4+HhWr16trzCFEMJg6DzQ+O3btxk/fjw///wzubm5DBkyhBEjRtC7d2/+85//VEYfRTl8/u0VHqiKRssKHO6BqYwhL4SoJu7du8fVq1eZOnUqzZo1o3fv3nTv3p2TJ09y6tQpbty4wdKlS2nVqhUBAQF4enoSHR0NwN69e3F3d2fcuHG0bt2a5cuXc/PmTeX9vKioKPz9/enRowfu7u4sWbKE6OhoVCqVPkMWQohaT+c7zeXLl5OZmYmtrS1ff/01t27d4tNPP+Wll16SX3/0JOHqXU5dSAbAz8sJt5YN9dwjIYT4nwYNGuDs7Ex0dDQFBQVcvXqVn376CTc3N+Lj42nXrp1W+VGHDh2Ii4sDID4+XmvADgsLC9zc3IiLi0OtVpOQkKDV7uHhQX5+PpcuXaq6AIUQwgDpnEScOnWKpUuX4uzszLFjx+jevTve3t5MmDCB+Pj4yuijeAxVvpqow78ARXNCjOz1rJ57JIQQ2kxMTNi4cSPR0dF4eHgwYMAAfH19GTZsGCkpKTRq1EhrfTs7O5KTi34YSUlJwcHBQavd3t6e5ORkMjMzUalUWu2mpqbY2Nhw586dyg9MCCEMmM7zROTn59OgQQM0Gg0nT57k7bffBqCwsBBTU513J/6kf5z4ndT7uQCM6t0Gy7p19NwjIYTQlpOTw8yZM/Hx8SEgIIDLly+zbNkyfHx8yM3NxczMTGt9MzMz8vLyAB7bnpubq/xd1vblZfLfElCTpygFNTExxtS05pWQ/pmYazpDjd1Q4waJvTLofNfv6urKvn37aNSoERkZGfTs2ZO8vDw++ugj2rZtWxl9FGVISsnin6evA9CupR2dXB2esIUQQlS9I0eOcO/ePVavXo2ZmRlt27YlOTmZzZs38+KLL5Kenq61fl5eHnXrFs3GbW5uXiIhUKlUWFtbK8nDo+0Pb19exbN/P80s4NbWdbG1tdR5u+rCkGc+N9TYDTVuMOzYK5rOScT8+fOZPHky6enpTJw4kcaNG7No0SK+//57IiMjK6OPohSFGg1R//xFmRPizb7Py5wQQohq6fbt27Ro0ULriYGrqytbtmzB0dGRK1euaK2fmpqqlDg5OjqSkpJSot3NzQ1bW1vMzc1JTU2lZcuWABQUFJCenl6iROpJMjJyUKsLycjI0Tm+jIwc0tKydd5O30xMjLG2rqvEbkgMNXZDjRsk9spInnROItq3b88PP/xAVlYWDRo0AGDSpEnMmzcPS8ua+0tMTXP83C0SbxbNCfGXri1wsJHMWghRPTVv3pxr166Rn59PnTpFJZdXr17F2dkZDw8PIiIiUKlUmJubAxAbG6u8LO3h4UFsbKyyr5ycHC5evEhQUBBGRka4u7tz9uxZZf1z585hamqKi4uLTn1UqwspKCh8qpuL4m1rqpre/z/DUGM31LjBsGOvaE9VJGViYkJ+fj63b9/m1q1bmJiYcP/+fW7dulXR/ROluJ+lYu/3RXNCODWypG+nZnrukRBClM3Pzw8rKyvee+89fv/9d44ePcrWrVsZM2YMnTp14plnniE4OJgrV64QERFBQkICw4cPB2DYsGH89NNPREREcOXKFYKDg3F2dqZTp04AjB49msjISI4cOcLPP/9MSEgII0eOVBKSyqYuyOOXXy4RFxdLXFws2dk174mEEEI8DZ2fRPz000/Mnz+f69evl2gzMjLi4sWLFdIxUba/f3uFnP/OCeHfz0XmhBBCVGtmZmZs376dZcuWMXz4cBo2bMi0adMYOXIkAJs2bWLBggUMGzaM5s2bs3HjRho3bgyAk5MTGzZsICwsjE2bNuHt7U14eLiy7wEDBpCUlMTixYvJy8ujb9++zJ07t8pie3A/mchDd6h/KovMu9dZNWsoXl4dquz4QgihLzonEaGhoTg4ODBv3jysrKwqo0+K3377jaVLlxIfH4+NjQ3+/v74+/tX6jGru/NX7xJz8Q8Aeno58axTAz33SAghnszZ2ZmIiIhS25o1a8auXbvK3NbX1xdfX98y2wMCAggICPjTfXxa9Rs2w6ZxG70dXwgh9EHnJOLKlSscOHCAZ5+t/PkIAgMDcXV15YsvvuDKlSvMmTMHJycn+vTpU+nHro5U+Wp2PTQnxPAerfTcIyGEEEIIYYh0roNp3LgxDx48qIy+aLl37x5Xr15l6tSpNGvWjN69e9O9e3dOnjxZ6ceurr788TdlTojRfdpQz0LmhBBCCCGEEFVP5yRi6tSphIWFcenSJfLz8yujTwA0aNAAZ2dnoqOjKSgo4OrVq/z000+4ublV2jGrs6Q/svgm5gYA7q0a0tFF5oQQQgghhBD6oXM505YtW7h16xaDBw8u0VaRL1abmJiwceNGxowZQ1RUFGq1mqFDhzJs2LAK2X9NUqjRsPOfl1AXajAzNebNl5+TOSGEEEIIIYTe6JxETJkypTL6UUJOTg4zZ87Ex8eHgIAALl++zLJly/Dx8WHQoEHl2kdtmdr8aGwSv97KAGCIbyuesS97Pg6Z1t3wYjfUuEFiF0IIIfRF5yRi6NChldGPEo4cOcK9e/dYvXo1ZmZmtG3bluTkZDZv3lzuJKI2TG1+LyOXvd8lAtDiGWte7+dariFda0PsT8tQYzfUuMGwYxdCCCH0QeckAuDYsWNs27aN3377jc8++4z9+/fTrFmzUkucntbt27dp0aIFZmZmyt3BlUQAACAASURBVDJXV1e2bNlS7n3UhqnNw/efJzu3ACNgbN/nyczIeez6Mq274cVuqHGDxC7JkxBCCH3ROYn48ccfCQwMZODAgZw7d47CwkI0Gg3BwcFoNBqGDBlSIR1r3rw5165dIz8/nzp1ikYhunr1Ks7OzuXeR02f2vznX1OJuZAMQE9vJ1o0rl/ueGp67H+GocZuqHGDYccuhBBC6IPORbXr169nzpw5rFy5ElNTU4yMjHjrrbeYM2cOH3/8cYV1zM/PDysrK9577z1+//13jh49ytatWxkzZkyFHaM6U+Wp2XX4MgANLM0Y5ttazz0SQgghhBCiiM5JxOXLl+nVq1eJ5S+//DLXrl2rkE4BmJmZsX37dtLS0hg+fDgrV65k2rRpjBw5ssKOUZ19+eNv3M3475wQLz1HPYunqjwTQgghhBCiwul8Z1q/fn2Sk5Np1qyZ1vIrV67QoEGDCusYgLOzMxERERW6z5rgxh9ZHP7vnBDtWzfkhecb6blHQgghhBBC/I/OTyIGDRrE8uXLuXTpEgDZ2dkcO3aMZcuWMWDAgArvoKEpLCyaE6JQo8GsjjFvviRzQgghhBBCiOpF5ycRM2fO5M6dO8pITMX/t2fPnrz99tsV2zsD9P25m1z975wQg7u1wt5GRl8RQgghhBDVS7mTiNu3b3PkyBHMzMyYM2cOQUFBXLhwAY1GQ5s2bWjTpk1l9tMgpGWqiD72KwDODlb0eaGpnnskhBAVIy8vjxUrVnDo0CFMTEwYPnw4s2bNAuDGjRssXLiQ+Ph4mjRpwrvvvkvXrl2VbU+cOEFYWBhJSUl4eHgQGhqqNVLfjh07iIyMJDs7m/79+7Nw4UIsLCyqPEYhhDAk5Uoizp49y8SJE8nNLXrRt169eqxbt47+/ftXaucMzd+/vUKOSl00J0S/58s1qZwQQtQEK1as4MSJE2zbto2srCxmzZqFk5MTr732GoGBgbi4uBAdHc2RI0eYPn06//d//8czzzzDrVu3CAwM5K233qJ79+5s3LiRwMBAvvzySwAOHz5MeHg4a9aswc7OjuDgYFavXs3ChQurPEZ1QR6//HJJ+fu551ywtLSs8n4IIURVKNdd6rp16/Dx8eH48eP8+OOPdO/enZUrV1Z23wxKfGIqZy/9AYCftxOtm1TsS+pCCKEv9+/fZ8+ePYSGhuLu7o6Pjw/jx4/n559/5uTJk9y4cYOlS5fSqlUrAgIC8PT0JDo6GoC9e/fi7u7OuHHjaN26NcuXL+fmzZucOXMGgKioKPz9/enRowfu7u4sWbKE6OhoVCpVlcf54H4ykYcusGznWd55fz+XL1968kZCCFFDlSuJuHDhwv+zd+9xMeX/H8Bfo7Yplygpt1wKTalmpihERKp1v1/zFWtbZLPLtyVrE3LJZd0qQouwu9gsy+5vrTvrtiS1raKLS6QUSlGTZj6/P/p2tukeTTM17+fj4cG5fc7nfc44Z95zPufzwYIFC2BoaIiWLVtiyZIlSExMRG5urqLrpxYkBVIc+ON/Y0I01cIYGhOCENKAREZGomnTpujRowc3z9PTE6tWrUJ0dDQsLS3lmh/Z2toiKioKABAdHY2ePXtyy7S1tWFhYYGoqChIpVLExsbKLRcKhXj37h3X+Udda9ayA1q07opmLTtUvTIhhNRj1Uoi3r59Cz09PW7ayMgIWlpayM7OVljF1MnxP/8dE2KqM40JQQhpWFJSUtCuXTscO3YMbm5ucHZ2RkhICBhjyMjIQKtW8t1Y6+vrIz09HQCQkZEBQ0NDueUGBgZIT09HTk4OJBKJ3HJNTU20aNECaWlpig+MEELUWLW+rTLGynQzqqGhAZlMppBKqZPH6Tn442bRmBBC05awpTEhCCENzJs3b/Do0SMcPnwYgYGBeP78Ofz8/KCjo4P8/HxoaWnJra+lpYWCggIAqHR58Xt6lW1fXRr/ewdNoxbfRdPQaARNTdV9t00RMdcX6hq7usYNUOyKQD95K1HRmBD3uDEhprrQmBCEkIZHU1MTubm52LhxI9q0aQMASE1Nxffffw8HBwdkZWXJrV9QUAAdnaLurfl8fpmEQCKRQFdXl0seSi8vuX116erqyP1dG3R1daCnp/ovVtdmzPWNusaurnED6h17bat2EhEWFobGjRtz0+/evUN4eHiZUarnzZtXe7Vr4M5HPcWDZyXGhGhOH2xCSMPTqlUr8Pl8LoEAgE6dOiEtLQ1GRkZISEiQWz8zM5Nr4mRkZISMjIwyyy0sLKCnpwc+n4/MzEx07twZAFBYWIisrKwyTaSq8vp1HqRSGV6/znufECss89WrN7VWXm3T0GgEXV0dLnZ1oq6xq2vcAMWuiOSpWklE27Zt8fvvv8vNMzQ0xNmzZ8usW1tJxNGjR7FkyZIy83k8HuLi4mplH8pUckyIDoZNMbgnjQlBCGmYhEIhJBIJHj58iE6dOgEAkpOT0b59ewiFQuzcuRMSiQR8Ph9A0YvYxS9LC4VCREZGcmXl5eUhLi4O3t7e4PF4sLKywq1bt7j179y5A01NTQgEghrVUSqVobBQVqtfLorLVHX1pZ6KoK6xq2vcgHrHXtuqlUScO3dO0fUoY+jQoejfvz83/e7dO0yfPh1OTk51XhdF+P7MfeQXFI0JMf1jATQaqV8bPUKIejAxMcGAAQOwePFi+Pv7IyMjA7t27cLcuXNhZ2eHNm3awNfXF3PmzMH58+cRGxvLdSM+duxYhIWFYefOnXByckJwcDCMjY1hZ2cHAJgyZQr8/PzQtWtXGBoawt/fHxMmTOASEkIIIYqhsu9E8Pl8uZtAaGgoAGDhwoXKqlKtuZOQich7RY/nB9q2R+c2ukquESGEKNaGDRuwcuVKTJkyBTo6OnB3d4e7uzsAICQkBF9//TXGjh2Ljh07IigoCK1btwYAtGvXDtu2bcPq1asREhICGxsbBAcHc+UOGTIET548wbJly1BQUABXV1f4+PgoJUZCCFEnKptElJSVlYXdu3dj1apV+Oijj5RdnQ+SX1CIg6fvAQBaNNXCGEcTJdeIEEIUr2nTpggMDCx3oNIOHTpg//79FW7r6OgIR0fHCpd7enrC09OzVupJCCGkeupFG5offvgBRkZGcHFxUXZVPljRmBBFI6lOHdwNOvx6kccRQgghhBDCUflvsIwxHDly5L1+ZVK1voAfpr3G6ZtPAADibgawszCq9S5dqR9k9YtdXeMGKHZCCCFEWVQ+ifj777/x/PlzDB06tMbbqlJfwFIZQ/i+W5AxBm0tDcybIIa+XuOqN3xPqhR7XVPX2NU1bkC9YyeEEEKUQeWTiMuXL6Nnz55o1qxZjbdVpb6A/7j5GIkpRQMqjelvgo/AFNJ/OPWDrH6xq2vcAMVOyRMhhBBlUfkkIiYmBjY2Nu+1rar0BfzydT5+Ov+/MSGMmsJJ3E7h9VKV2JVBXWNX17gB9Y6dEEIIUQaVTyISEhIwcuRIZVfjg/xwJqFoTAgeMN2NxoQghBBVcu/ePXzuuwFNmukh/UkyNFr3UnaVCCFE5al8EvHixQs0b95c2dV4b1EJGYi8XzQmxCAaE4IQQlROfn4+8rVNwTcwh+QloLi31QghpOFQ+SQiOjpa2VV4b3mSQhz44z4AQK8ZH6P70ZgQhBCiDqSFBbh3L56b7tZNgCZNmiixRoQQUrtUPomoz47/+QCvcmhMCEIIUTdvs9MR9msaml3PRc6Lx1i3YAzEYltlV4sQQmoNfatVkEdpOTh9KwUAIO5qAJturZRcI0IIIXWpWcsOaNG6q7KrQQghCkFv+CqATMaw9/d4MAbwtTQwdXA3ZVeJEEIIIYSQWkNJhAKcjXyCR2k5AIAx/Uygr6ut5BoRQgghhBBSeyiJqGUvX+fj6OVkAEDH1s0wyLa9kmtECCGqxdPTE76+vtx0SkoKPDw8IBaLMXToUFy5ckVu/atXr2LYsGEQiUSYPn06UlJS5Jbv3bsX/fr1g42NDb7++mvk5+fXSRyEEKLOKImoZQdP34eEGxPCDI0a8ZRdJUIIURm//vorLl26xE0zxuDl5QVDQ0NERERg5MiRmDdvHp49ewYASE1NhZeXF8aNG4eIiAjo6+vDy8uL2/7UqVMIDg5GQEAA9u3bh+joaKxfv77O4yKEEHVDSUQtun0/A1EJmQAAZ1tjdGpNY0IQQkixrKwsrFu3DlZWVty869evIyUlBStWrICJiQk8PT0hEokQEREBADhy5AisrKzg4eEBU1NTrFmzBk+fPsXNmzcBAOHh4Zg+fTr69+8PKysrLF++HBEREZBIJEqJkRBC1AUlEbUkT1KIg6f/HRNiVL/OSq4RIYSolsDAQIwaNQpdunTh5kVHR8PS0hLa2v++O2Zra4uoqChuec+ePbll2trasLCwQFRUFKRSKWJjY+WWC4VCvHv3DvHx/47RQAghpPZRElFLfr6czI0J4e5CY0IQQkhJ165dw+3btzF37lwwxrj5GRkZaNVKvgtsfX19pKenc8sNDQ3llhsYGCA9PR05OTmQSCRyyzU1NdGiRQukpaUpMBpCCCH0TbcWPHj2GmcjnwAAbLq1grgrjQlBCCHFJBIJ/P394efnBz6fDx7v33fF8vLyoKWlJbe+lpYWCgoKAAD5+fkVLi9+gbqy7VWBtLAACQn3oKFR9LudmZlqjF5dXJ/iv9WJusaurnEDFLsiqHQSUVBQgLVr1+LXX3+FhoYGxo0bhwULFii7WnKkMhnCf7/HjQkxxZkGFiKEkJKCgoJgaWkJBwcHAEUvUxcnEnw+H9nZ2XLrFxQUQEdHh1teOiGQSCTQ1dXlkofSy0tuX32K6wTjbXY6dp1IQ7OrOch58Ri7Vk6Ta4KlbLq6NT1WDYe6xq6ucQPqHXttU+kkYu3atbh69Sp2796N3NxcLFiwAO3atcPEiROVXTXO2cineJT+vzEhHGlMCEIIKe23335DZmYmxGIxAODdu3cAgN9//x2zZ89GYmKi3PqZmZlcEycjIyNkZGSUWW5hYQE9PT3w+XxkZmaic+ei99AKCwuRlZVVpolU1VjVq3yAkqNXv36dh1ev3ih0f9WhodEIuro6eP06D1KpTNnVqVPqGru6xg1Q7IpInlQ2icjOzsbhw4exd+9eriePGTNmICYmRmWSiJev8/HzpaIxITq1boZBNjQmBCGElLZ//35IpVIARU8hNmzYAADw8fHB06dPsXPnTkgkEvD5fABAZGQk90u9UChEZGQkV1ZeXh7i4uLg7e0NHo8HKysr3Lp1i1v/zp070NTUhEAgqMsQa0QqlaGwUHW+xKhafeqSusaurnED6h17bVPZJCIyMhJNmzZFjx49uHmenp5KrJE8xhgO/HEfknfFY0IIaEwIQggpR9u2beWmGzduDB6PB2NjY7Rr1w5t2rSBr68v5syZg/PnzyM2NhaBgYEAgLFjxyIsLAw7d+6Ek5MTgoODYWxsDDs7OwDAlClT4Ofnh65du8LQ0BD+/v6YMGECl5AQQghRDJV9uyQlJQXt2rXDsWPH4ObmBmdnZ4SEhMj16qFMt+9n4k5i0ZgQg3sYo2PrZkquESGE1A8lX6xu1KgRQkJCkJGRgbFjx+LEiRMICgpC69atAQDt2rXDtm3bcPToUYwfPx6vX79GcHAwt/2QIUPg6emJZcuW4ZNPPoFIJIKPj0+dx0QIIepGZZ9EvHnzBo8ePcLhw4cRGBiI58+fw8/PDzo6OpgxY0a1ylDU2+h5kkJ8f6ZoTAh9XT7GOZlCU1M18jHqfUD9YlfXuAGKvb5as2aN3HSHDh2wf//+Ctd3dHSEo6Njhcs9PT1V6kk1IYSoA5VNIjQ1NZGbm4uNGzeiTZs2AIDU1FR8//331U4iFPUG/pFjf3NjQniNE6GNUXOF7OdDqHPvA+oau7rGDah37IQQQogyqGwS0apVK/D5fC6BAIBOnTrVaAAhRbyBn5yajZOXi16m7iFoha5tm6lELxvFqPcB9YtdXeMGKHZKngghhCiLyiYRQqEQEokEDx8+RKdOnQAAycnJaN+++j0g1fYb+FKZDN+djAMDoK2lgcmDuqnsG/7q3PuAusaurnED6h07IYQQogwq26jWxMQEAwYMwOLFixEfH4/Lly9j165dmDx5stLqdObWEzx+ngsAGNvfFHrNqPcPQggh1SctLMC9e/GIiopEVFQk3rxRnSfZhBBSEyr7JAIANmzYgJUrV2LKlCnQ0dGBu7s73N3dlVKXzOw8/Py/Zkyd2zSDk7idUupBCCGk/nqbnY6wX9PQ7Houcl48xroFYyAW2yq7WoQQUmMqnUQ0bdoUgYGBXH/hysIYw8E/7qPgnQyNeDwaE4IQQsh7Kzl6NSGE1Fcq25xJldy+n4HopBcAgME926ODEY0JQQghhBBC1BclEVV4m1+Ig6eLxoRoqcvHqL4mSq4RIYQQQgghykVJRBV+vpSMrNwCAMBUFzPwtTSUXCNCCCGEEEKUS6XfiVC25NTXOHf7CQCgh1kriLoYKLlGhBBCGorinpqKdesmQJMmTZRYI0IIqT5KIioglcmw7/d4MAA6fA1Mdu6m7CoRQghpQKinJkJIfUZJRAVO33yCFBoTghBCiAJRT02EkPqK3okoR2ZWHo79WTQmhElbXQwQ0ZgQhBBCCCGEFKMkohTGGA6c/ndMiP+4mtGYEIQQ8oHS09Ph7e0Ne3t7ODo6Yu3atSgoKOq0IiUlBR4eHhCLxRg6dCiuXLkit+3Vq1cxbNgwiEQiTJ8+HSkpKXLL9+7di379+sHGxgZff/018vPz6ywuQghRV5RElBJ5LwMx/xsTwsXOmMaEIISQD8QYg7e3NyQSCb7//nt8++23OH/+PDZv3gwA8PLygqGhISIiIjBy5EjMmzcPz549AwCkpqbCy8sL48aNQ0REBPT19eHl5cWVferUKQQHByMgIAD79u1DdHQ01q9fr5Q4CSFEnVASUcLb/EIcPFM8JoQ2Rjp0VnKNCCGk/ktOTkZ0dDTWrFkDU1NT9OjRA97e3jh58iSuX7+OlJQUrFixAiYmJvD09IRIJEJERAQA4MiRI7CysoKHhwdMTU2xZs0aPH36FDdv3gQAhIeHY/r06ejfvz+srKywfPlyREREQCKRKDPkGivuqSkqKhJRUZF48+aNsqtECCGVUukk4vTp0xAIBHJ/5s+fr7D9Hb2UhOz/jQkxzZXGhCCEkNpgaGiIsLAw6Ovrc/MYY8jJyUF0dDS6d+8ObW1tbpmtrS2ioqIAANHR0ejZsye3TFtbGxYWFoiKioJUKkVsbKzccqFQiHfv3iE+/t+uU+uDop6a7mLlvlv46tujuH+/ftWfEKJ+VLp3psTERAwcOBArV67k5vH5iuklKelpNs7ffgoA6CkwhLVpS4XshxBC1E2zZs3g4ODATctkMhw4cAB9+vRBRkYGDA0N5dbX19dHeno6AJS73MDAAOnp6cjJyYFEIpFbrqmpiRYtWiAtLQ1CoVCBUdU+6qmJEFKfqHQSkZSUhK5du6JlS8V+oS+UyrDv93slxoSgizghhCjK+vXrER8fj59++gl79uyBlpaW3HItLS3upev8/PwKlxe/QF3Z9vWVhkYjaGoqtrGAhkYjub/VibrGrq5xAxS7Iqh0EpGcnIy+ffsqfD+nb6XgSUbRmBDj+puiRVMaE4IQQhRh/fr1CA8Px+bNm9GlSxfw+XxkZWXJrVNQUAAdHR0ARU+fSycEEokEurq6XPJQennJ7atPdXrhkxYW4MmTB9DVLYrBwsJCoSNZF+9HHalr7OoaN6Desdc2lU0iGGNITk7G5cuXsX37dshkMri5ucHb2xsfffRRre0nMysPxy8/AACYttVFfzGNCUEIIYqwcuVK/Pjjj1i/fj0GDx4MADAyMkJCQoLcepmZmWjVqhW3PCMjo8xyCwsL6Onpgc/nIzMzE507F3WEUVhYiKysLG776mPvF5QCvM1Ox6Yf0tCsZQZyXjzGRp9xsLGp/ZGsNTQaQVdXB69f50EqldV6+apMXWNX17gBil0RyZPKJhGpqanIz88Hn8/Hli1b8OTJEwQEBCA/Px9ff/11tcqo6vENYwwHz9xHQaEMGo14mDnMAlof1e+XqelxnfrFrq5xAxR7fRIUFIRDhw5h06ZNcHFx4eYLhULs3LkTEomEe+ctMjKSe1laKBQiMjKSWz8vLw9xcXHw9vYGj8eDlZUVbt26xa1/584daGpqQiAQ1GF0ta/k+xFSqQyFhYr70qPo8lWZusaurnED6h17bVPZJKJdu3a4desWmjZtCgAQCASQyWTw8fHBkiVLwONV/ei5qqzr8p2niE4sGhNiVH9TWJsZfXjFVYQ6P65T19jVNW5AvWOvD5KSkhASEoLZs2fDxsZG7smCnZ0d2rRpA19fX8yZMwfnz59HbGwsAgMDAQBjx45FWFgYdu7cCScnJwQHB8PY2Bh2dnYAgClTpsDPzw9du3aFoaEh/P39MWHCBIV1wkEIIaSIyiYRALgEopiJiQkkEgmysrKgp6dX5faVPbJ6k/8OoT/HAAAMmmvDzc4Yr17V/3656XGd+sWurnEDFHt9SZ7Onj0LmUyGkJAQhISEcPN5PB7i4uIQEhKCr7/+GmPHjkXHjh0RFBSE1q1bAyj6QWnbtm1YvXo1QkJCYGNjg+DgYK6MIUOG4MmTJ1i2bBkKCgrg6uoKHx+fOo+REELUjcomEZcvX8Z///tfXLx4kes/PC4uDnp6etVKIIDKH1kdPpvIjQnh7mIGDR6vQT3eUufHdeoau7rGDah37PWBp6cnPD09K1zeoUMH7N+/v8Lljo6OcHR0fO/yCSGE1D6VTSJsbGygo6ODr7/+GvPmzcPjx4+xfv16zJo164PLTnyajQtRRWNC2JnTmBCEEEJUU/FI1sW6dRMotKcmQgipLpVNIpo0aYLdu3dj1apVGDt2LJo0aYLJkyfjk08++aByC6UyhP8e/78xITQxeRCNCUEIIUQ1FY1knYZm13OR8+Ix1i0YA7G49ntqIoSQmlLZJAIAunTpgj179tRqmX/cTMGTjKJ3H8YPMEVzGhOCEEKICivuqYmeShBCVIlKJxG17XlWHn75839jQrTThaOorZJrRAghhFQPPZUghKgStUkiGGM4cOoeNybEdFcBGlWjm1hCCCFEVZQcP4IQQpRJbZKIm/HPEfvgJQDA1a4D2hs2rWILQgghRDVR0yZCiLKpRRLxNv8dvj+TAABo1UIbwx06KbdChBBCyAco2bQpKz0JniOFMDMrGqWbEgpCSF1QiyTipwtJeP2maEyIaS5m4H+koeQaEUIIIR+muGlTzosUhP16l96VIITUqQafRCQ+ycaFO6kAAHsLI1ia0JgQhBBCGhZ6V4IQUtcadBJRKJVh36miNqON+ZqYNLCLkmtECCGEKA69K0EIqSsNOon4v+uP8fR/Y0KMc6IxIQghhDRslb0rAVBSQQipPQ02iUh78QbHLicDALq0bw5HIY0JQQghpOEr710JAGWSCgsLC+jpUUJBCHk/DTaJ2B4Rg3fcmBBmNCYEIYQQtVPyXYmSSUVWehJmjxbBzs4Gr1/nwdS0Gz2hIITUSL1IIjw9PdGyZUusWbOm2tvcvvccAOBm3wHtWtGYEIQQ0pBJJBIsX74cp0+fBp/PxyeffIIZM2You1oqp+RTil0n/sGPV3Ooi1hCyHtR+STi119/xaVLlzB69Ogab2vYQgfD+3Sq/UoRQghRKevWrcPdu3cRHh6Op0+fYtGiRWjbti1cXV2VXTWVVV6zp5IJRX5+HhjjQUdHGwAlF4QQeSqdRGRlZWHdunWwsrJ6r+2nfyyAFo0JQQghDdrbt2/x008/Yffu3TA3N4e5uTlmzZqFAwcOUBJRTeUlFOnJN9G4uRGatexQYXJBiQYh6kulk4jAwECMGjUKz58/r/G2AbP7oINBYxQWyhRQM0IIIaoiPj4ehYWFEIvF3DwbGxvs2LFDibWqv0omFM1aGleaXNQ00ahOAvLmzRvcv0/d1BKi6lQ2ibh27Rpu376NX375BcuWLQOvhi9GC7u2wqtXbxRUO0IIIaoiIyMDenp60NT895ZmYGAAiUSCV69eQU9PT4m1azgqSi5qkmhUJwG5dy++qJwPTEwq+3ejRo1gZKSP9PSXkEpZnSQ4lByRhkYlkwiJRAJ/f3/4+fmBz+fXOIEopqHRqJZrpvqKY6bY1Ye6xg1Q7KRIXl4etLS05OYVTxcUFFSvjLQoaEqeQfI8AdJ3RQOTvs1OA8AaxL/ran+NmxtVcIQrJ3nzEpvDT6GxbhRePruHVh2sy52v3UQPjXUN6/Tfb18/xwIPNwgE5oiPj8O3e38vM786PmTb2tKoEQ9Nm2ojNzcfMhmreoMGpKHGbmNjW+U6irpfqGQSERQUBEtLSzg4OAAAGGPvlUjo6urUdtXqDYpd/ahr3IB6x04APp9fJlkontbRqfqzIRQKcfPcIYXUjTQsgwY5wsvrszrflhBVpJJJxG+//YbMzEyufeu7d+8AAKdOncLt27eVWTVCCCEqxsjICK9evYJMJkOjRkW/uGVkZEBbWxu6urpKrh0hhDRMKplE7N+/H1KpFEDRU4gNGzYAAHx8fJRZLUIIISrI3NwcmpqaiIqKgq1t0aP9yMjI9+7ZjxBCSNVUMolo27at3HTjxo3B4/FgbGyspBoRQghRVTo6Ohg1ahT8/f2xevVqpKenY8+ePVi7dq2yq0YIIQ2WSiYRpb3vi9WEEELUg6+vL/z9/fGf//wHurq68Pb2hrOzs7KrRQghDRaPMdZwXlEnhBBCCCGEKBz1EUgIIYQQQgipEUoiCCGEEEIIITVCSQQhhBBCCCGkRiiJIIQQQgghhNRIvU4iCgoKMGzYMPz1118VrnP37l2MHz8eIpEI48aNwz///FOHNax9np6e8PX15aZjY2MxceJEiMViTJw4EdHR0ZVuf/LkYNrpRgAAIABJREFUSTg7O0MkEmHevHl49eqVoqv8QV68eAFvb2/07NkTLi4u+PnnnwEAixcvhkAgKPNn+vTpFZZVH2Kv7DOdk5ODfv36cceg2IgRI8och8TExAr3sWHDBvTu3Rv29vZYv349VKVvhfJir+rzvWfPHjg5OUEkEuGTTz7Bo0ePKt2HqsWenp4Ob29v2Nvbw9HREWvXri0z8nJF5z0iIgJubm4Qi8WYMGFClQNxqlrsqkAikWDJkiXo2bMn+vbtiz179ii7Sgpz+vTpMteJ+fPnAwBSUlLg4eEBsViMoUOH4sqVK0qu7Ycr73pSVZxXr17FsGHDIBKJMH36dKSkpNR1tWtFebEHBASUOf8HDx7kltf32Cu7ljb0815Z7Ao/76yeys/PZ15eXszMzIz99ddf5a7z5s0b5uDgwAIDA1lSUhILCAhgDg4O7O3bt3Vc29px8uRJZmZmxhYvXswYYywzM5PZ2tqyb775hiUnJ7M9e/YwsVjMUlNTy90+OjqaCYVCduzYMRYfH8/c3d3ZZ599Vpch1IhMJmMTJ05kEydOZHFxcezcuXPMzs6O/fHHHywnJ4dlZmZyf+7cucOsrKzYmTNnyi2rPsRe1Wf6m2++YWZmZuznn3/m5hUWFjJra2t28+ZNueNRWFhY7j7CwsLYgAEDWGRkJLt+/Trr168fCwsLU1hM1VVe7FV9vo8fP8569OjBLl68yB4+fMgWLlzI3NzcKtyHqsUuk8nYhAkTmKenJ0tMTGQ3b95kLi4uLDAwUG698s77xYsXmVAoZCdOnGCPHz9mmzdvZra2tiw9Pb3cfala7KpixYoVbOTIkezu3bvs9OnTzMbGhv3+++/KrpZChISEsDlz5shdJ3JycphMJmPDhw9nPj4+LCkpiYWGhjKRSFThfaQ+KO96UlWcT58+ZSKRiO3Zs4clJiayL774gg0fPlyZYbyXiu4jM2bMYDt37pQ7/3l5eYyx+h97VdfShnzeq4rdw8NDoee9XiYRCQkJbMSIEWzEiBGVJhFHjhxhzs7OcvNcXFzY0aNH66KaterVq1fM0dGRjRs3jksidu/ezQYPHsxkMhm33syZM9nGjRvLLcPHx4fbljHGnj17xgQCAXvy5IliK/+eYmJimJmZGUtJSeHmhYaGsokTJ5ZZd+bMmeyrr76qsCxVj72qz3TxhcHBwUHuy+TDhw+Zubk5k0gk1dpP//795bY/fvw4c3Jyqp0g3lNFsVf1+T548CA7fPgwtywuLo6ZmZmxFy9elLsfVYs9MTGxTH1PnjzJ+vXrx01XdN6//PJL5u/vL1eeq6ur3PEoSdViVwVv3rxh1tbWcv/XQkJCmLu7uxJrpTgLFy5k3377bZn5V69eZSKRiPtiwVjRF49t27bVZfVqTUXXk6ri3Lx5M5s2bRq3LC8vj9nY2LAbN27UbQAfoLL7iKOjI7ty5Uq529X32Cu7ll67dq1Bn/eq7iOKPu/1sjnTzZs30bt3bxw6dKjS9aKjo2Frays3z8bGBlFRUYqsnkIEBgZi1KhR6NKlCzcvJSUF3bt3lxuMr2vXrhXGFx0djZ49e3LTrVu3Rps2bXDnzh3FVfwDpKSkQF9fH+3bt+fmdenSBbGxsZBKpdy8a9eu4datW1iwYEGFZal67JV9pgsKCuDn54dly5ZBS0tLblliYiJat25dZn550tPTkZaWhh49enDzbGxskJqaiszMzA8P4j1VFHtVn+8pU6Zg/PjxAIqa/Hz//ffo2rUr9PX1y+xDFWM3NDREWFiYXH0ZY8jJyQFQ+XmfNWsWPDw8ypSZm5tbZp4qxq4K4uPjUVhYCLFYzM2zsbFBTEyMEmulOMnJyejcuXOZ+dHR0bC0tIS2tjY3z9bWtl7eJ4GKrydVxVn6HqGtrQ0LCwuVuUdUR0Wx5+bmIj09HR07dix3u/oee2XX0ujoaHTv3r3BnveKYs/Nza2T814vRqwubfLkydVaLyMjA926dZObp6+vX2l7cVV07do13L59G7/88guWLVvGfakyMDDAvXv35NZNS0tDVlZWueVkZGTA0NBQbp6BgQHS09MVU/EPZGBggNevXyM/P5+7AKSlpaGwsBA5OTlo0aIFAGDnzp0YM2YMjIyMKixL1WOv7DO9Y8cOWFhYoE+fPmWWJSUl4aOPPsLs2bMRGxuLzp07w8fHB9bW1mXWzcjIAAC542BgYACg6LgW/7uuVRR7dT/fP/30E5YuXQotLS2EhYWVW5Yqxt6sWTM4ODhw0zKZDAcOHODOc2Xn3cLCQm760qVLePjwIXr16lVmXVWMXRVkZGRAT08Pmpr/3gYNDAwgkUjw6tUr6OnpKbF2tYsxhuTkZFy+fBnbt2+HTCaDm5sbvL29kZGRgVatWsmtr6+vrzLXxpqq6HpSVZwV3SPS0tIUU1EFqCj2pKQk8Hg87NixA5cuXUKLFi0wY8YMjBo1CkD9j72ya2l5sTWk815R7L17966T814vn0RUV35+fplf8LS0tMq8uKjKJBIJ/P394efnBz6fL/errIuLC2JiYnDkyBEUFhbi8uXLuHjxIt69e1duWfXteIhEIhgaGiIgIAD5+fl4+PAh9u3bBx6Px8WYkpKCGzduwN3dvdKy6lvsxRITE3Ho0CEsWbKk3OUPHjxAbm4uxo8fj127dsHU1BQeHh7lXgTy8/MBQO44FP9bFY+Dq6trtT7fDg4OOHbsGCZMmIC5c+fiyZMnZcqqD7GvX78e8fHx+PLLL6s87yU9fvwYvr6+GDFiBMzNzcssrw+xK0NeXl651wSg4R2X1NRU5Ofng8/nY8uWLVi0aBFOnDiBdevW1dtrY01VdL6L42zIxyE5ORkaGhowNTXFrl27MH78eHzzzTc4c+YMgIYXe8lrqbqd95Kx18V5r5dPIqqLz+dDIpHIzSsoKJB7rKXqgoKCYGlpyWWajDEukejWrRtWrlyJgIAALFu2DObm5pg0aRJu3LhRbll8Pr/Mh0OVj4eWlha2bNmCL774AjY2NmjZsiVmzpyJwMBANGnSBABw6tQpmJubw9TUtNKy6lvsQNG5Xrp0Kby9vcs8qiwWEBAAiUSCxo0bAwD8/f1x+/ZtHD9+HJ999plceSW/IJX+sqSjo6PQWN5H165dq/X5btOmDdq0aYOlS5fixo0bOHbsGObNmye3jqrHvn79eoSHh2Pz5s3o0qULJk2aVOl5L/bgwQPMmDEDHTt2REBAQLllq3rsylLRNQFoeMelXbt2uHXrFpo2bQoAEAgEkMlk8PHxwejRo5GXlye3vqpfG9+HtrZ2maeYBQUF3Lmu6POgq6tbZ3VUlNGjR2Pw4MHc+e/WrRsePnyIH374Ac7Ozg0q9tLXUj6frzbnvXTsXbp0Ufh5b9BPIoyMjMq0+c3MzCzz+EaV/fbbbzhz5gzEYjHEYjFOnjyJEydOwMbGBgAwZswYREZG4tKlS4iIiIBMJpN7h6AkQ0PDenc8rKyscPbsWe5X6A4dOqB58+bcl+bLly/D2dm5ynLqY+ypqam4c+cO1q5dy53/Z8+eYdmyZfD09AQAaGhocMeimImJCZ4/f16mvOLmXiWPQ3FTl9KP+VVFZZ/v69ev48GDB3Lrm5qaltucT5VjX7lyJfbu3Yv169dj8ODBePr0aZXnHQASEhLg7u6ONm3aYNeuXRW+F6PKsSuTkZERXr16BZlMxs3LyMiAtrZ2vfwCUZXiLxLFTExMIJFIYGBgwH0eiqn6tfF9GBkZlRtn8f+B8paX1wSqvip9/jt37sw16WkosZe+lgLqc97Lix1Q/Hlv0EmEUCiU6zudMYbbt29DJBIpsVY1s3//fpw8eRK//PILjh8/joEDB2LgwIE4fvw4bty4gQULFoDH48HAwACMMfz5559yL8qUJBKJcOvWLW762bNnePbsGYRCYV2FUyNZWVmYOnUqsrKy0LJlSzRq1AiXLl2CnZ0dgKLzGRsbyyVUlalvsQNFL3+fPn0av/zyC3f+DQ0NMX/+fO5XZ3d3dwQFBXHbyGQyxMfHw8TEpEx5RkZGaNu2rdxxiIyMRNu2bVWyXXxVn+9du3bJ9esvlUoRFxdXr2IPCgrCoUOHsGnTJgwZMgRA9c778+fPMXPmTHTu3Bnfffcd92SuPKoau7KZm5tDU1NT7gXiyMhIWFlZKbFWinH58mXY29tzTdsAIC4uDnp6eujRowfu3r0r99Q+MjKyXt0nq8Pa2rrSOIVCISIjI7lleXl5iIuLaxDHYfPmzWU6Yih5n2gIsZd3LQWKYmvo572i2OvkvNegJymVVLobs+fPn7P8/HzGGGM5OTmsd+/eLCAggCUkJLCVK1eyvn37ynX1Vd8sWrSI66o0LS2NiUQi9sMPP7DHjx8zPz8/1q9fP5abm8sYY6ygoIA9f/6cSaVSxhhjUVFRzNLSkh05coTFxcUxd3d3NmfOHKXFUh0jRoxgS5YsYY8fP2aHDh1iVlZW7M6dO4wxxlJSUpiZmRnLzMwss119jr2yboudnJzkuurcs2cP69GjBzt79ixLSkpiy5YtYw4ODuzNmzeMsaJuLEt2/RYaGsr69evHbty4wY0XsGfPHoXGUxMlY6/q83327FlmaWnJTpw4wZKSktjSpUvZgAEDuHFgVD32xMREZm5uzrZs2cIyMjLY8+fPuT+llT7vCxYsYA4ODuzBgwdy29XX864sfn5+bNiwYSwmJoadPn2a2drastOnTyu7WrUuNzeX9e/fny1YsIAlJyezCxcusH79+rHdu3czqVTKhg4dyr788kt2//59FhoaymxsbNizZ8+UXe0PVvJ6UlWcT548YdbW1iw0NJTdv3+fzZ8/n40cOVKZ1f8gJWOPiYlh3bt3Z2FhYezRo0fs4MGDcvfS+h57ZdfShn7eK4u9Ls57g0siSg/KFB0dzUaPHs2sra3ZhAkTWFxcnDKqWWsWL14sN97BhQsX2Mcff8xEIhHz8PBgiYmJ3LLr168zMzMz9vTpU27e0aNH2YABA5hIJGKff/45y8rKqtP611RycjJzd3dnIpGIDRs2jJ07d45bdufOHSYQCFhBQUGZ7epz7DVJIhhjbMeOHczJyYlZW1uzadOmsYSEBG7Z1q1b5cYDkEqlbM2aNaxnz56sV69eFY4poiylY6/s880YYz/99BNzcXFh1tbW7D//+Q9LSkrilql67KGhoczMzKzMH4FAUGbdkuddJpMxoVDIBAJBmW2L+z5X9dhVRV5eHlu0aBETiUTM0dGR7du3T9lVUpiEhATm4eHBxGIx69u3LwsODuaWPXr0iLm7uzMrKys2bNgwdvXqVSXWtPaUvp5UFefFixeZq6srEwqFbMaMGSozjtD7KB37mTNn2PDhw5mVlRUbOnRomWS5Psde1bW0IZ/3qmJX9HnnMVbO23qEEEIIIYQQUoEG/U4EIYQQQgghpPZREkEIIYQQQgipEUoiCCGEEEIIITVCSQQhhBBCCCGkRiiJIIQQQgghhNQIJRGEEEIIIYSQGqEkghBCCCGEEFIjlEQQQgghhBBCaoSSCEIIIYQQQkiNUBJBatXAgQMRFBSk0H2cP38eSUlJCt1HeWojNgsLCxw7dqzcZTdu3IBAIEBqauoH7YMQQgghRNEoiSD1ytOnTzFnzhy8fPmyzvcdERGBTz755IPK4PF4FS6zsbHBlStX0Lp16w/aByGEEEKIomkquwKE1ARjTO7vuqSnp6fQ8j/66CO0bNlSofsghBBCCKkN9CSC1KmCggIEBgZi0KBBsLS0hL29Pb744gu5JwvHjh3D0KFDYW1tDUdHR6xevRoFBQV48uQJnJ2dAQD/+c9/KmxaJBAIcPDgQUyYMAHW1tYYPnw4zp07J7fO+fPnMWbMGAiFQri4uGDLli0oKCiQK2Pbtm1wcnJCv3798OjRozLNmS5cuIAJEyZALBajb9++WLt2LSQSCbc8LS0Nc+bMgY2NDRwdHStsxlSsdHOmgQMH4rvvvsPnn38OsVgMe3t7BAQEQCqVctvExMTAw8MDYrEYDg4O8Pf3R35+PgBAKpVi7969cHV1hbW1Ndzc3PDjjz/K7c/CwgJnzpyBq6srhEIhpk+fjrS0NAQEBKBnz57o06cPduzYIVfPiIgIfPzxxxAKhRgyZAjCw8OVktQRQgghRIkYIbXIycmJbdu2rcLlK1euZM7OzuzmzZssNTWVnTt3jtnZ2bFVq1YxxhiLi4tjlpaW7NSpU+zZs2fs8uXLzM7Ojm3fvp1JpVIWExPDzMzM2OnTp9mbN2/K3YeZmRkTi8Xs4MGD7MGDB2zDhg3M3Nyc3b59mzHG2MWLF5lQKGSHDh1ijx8/Zn/++SdzdXVl8+fPlyujd+/eLDY2lkVHR5eJ7Y8//mDm5uZs+/bt7OHDh+zs2bOsX79+bO7cuYwxxt69e8eGDh3KJk+ezP755x92584dNnr0aGZmZsZ+/vnncut9/fp1ZmZmxp4+fcrtz9ramu3fv5+lpKSwiIgIJhAIuO0fP37MRCIRW7RoEUtISGCRkZHM2dmZLV68mDHGWEBAALOzs2MnT55kjx49YuHh4czS0pLt3btXbn9jx45lsbGxLCoqitnZ2TE7Ozu2bt069vDhQ7ZlyxZmZmbG7t+/zxhj7Mcff2R2dnbs119/ZSkpKezUqVPMwcGBrVu3rqqPBiGEEEIaEGrOROqUtbU1Pv74Y9ja2gIA2rRpgz59+uD+/fsAgCdPnoDH46Ft27Zo3bo1WrdujbCwMDRr1gyNGjXimhQ1b94cjRs3rnA/Y8aMwZQpUwAACxcuxF9//YUDBw5ALBZjx44dmDhxIiZMmAAAMDY2hr+/Pzw8PJCamoq2bdsCAEaOHInu3buXW/7OnTsxePBgzJ49GwDQsWNHMMbg5eWFpKQkpKamIjExEadPn4axsTEAIDAwEMOHD6/R8erXrx/c3d0BAO3bt8f+/fsRFRWFUaNG4fDhw9DT08Pq1avRqFHRQ8WAgADcuXMHubm5+OGHH+Dr64uhQ4cCAKZNm4YnT55g586dmD59OreP+fPnc3H26tULMTEx8PHxAQB89tlnCAkJQUJCArp27YqQkBB4eXlhyJAhXJ1ycnKwYsUKzJ8/H1paWjWKjxBCCCH1EyURpE6NGDECV69exYYNG/Do0SMkJyfjwYMH6NGjBwDA0dERYrEY48aNQ/v27eHg4MA1faqJXr16yU2LRCJcvXoVAHD37l38/fffOHz4sNw6PB4PSUlJXBLRsWPHCstPSEgokxD07NkTAHDv3j08e/YMzZs35xIIAOjatSuaNGlSozhMTU3lpps2bYp3794BAO7fvw9LS0sugQAAe3t72NvbIyYmBoWFhVyyVrKO+/btk2s+VjJOHR0dtG/fnpvm8/kAipqhvXz5Eunp6di4cSM2bdrErcMY45qbmZiY1Cg+QgghhNRPlESQOuXn54dTp05hzJgxGDRoELy8vBAWFoa0tDQAgJaWFvbt24f4+HhcunQJV65cwezZszFq1CisXr262vvR1JT/aEulUmhoaAAo+tL76aefYvTo0XLrMMbQqlUrblpbW7vC8lk57wDIZDIuBh6Px01XVq+qfPTRRxXuW1NTs8J3ESqaX1ynkvWobp2Kt12yZAn69OlTZn9t2rSpVjmEEEIIqf/oxWpSZ169eoXDhw/D398fixYtwqhRoyAQCOTGfLh69SqCgoIgEAjg6emJffv24fPPP8dvv/0GoPIuUkuKiYmRm46KioKFhQWAoicCycnJMDY25v6kp6dj7dq1ePv2bbXKNzMzw61bt+TmFU+bmJjA3NwcOTk5SExM5JanpKQgOzu7WuVXR5cuXfDPP//IJSunT5/GwIEDYWpqCk1NTURGRpapY6tWraCrq1thuRUdYwMDA+jr6+Px48dyx+6ff/7Bpk2b6OVqQgghRI3QkwhS6x49eoRLly7JzdPR0YFYLEazZs1w5swZWFhYID8/HwcOHEBCQgL3BV9bWxvbt29H06ZNMWjQIGRnZ+PChQsQCoUAwL0Hcf/+fZibm6Np06bl1mHfvn0wMTFB9+7dcfjwYdy/fx9r1qwBAHz66af44osvEBwcjCFDhiAtLQ1Lly6FsbFxtbtYnTVrFubPn4/t27fDzc0NDx8+xMqVK+Hk5AQTExN07twZQqEQPj4+8Pf3h4aGBgICAuSaHn2oqVOnYv/+/Vi2bBk8PDzw8uVLrFu3Dn369EHTpk0xadIkbN26FS1atIClpSX+/PNP/PDDD1i4cGGl5VaWDHz66afYtGkT2rZti759+yIhIQHLli3DoEGD6H0IQgghRI1QEkFq3YkTJ3DixAm5ee3atcPZs2exZcsWrF27FsOHD4eBgQHGjRuHFStWYNWqVZBIJLCxscH69esRGhqKzZs3g8/nY8CAAVi0aBGAorEaxo4di8DAQDx+/Bi+vr7l1mHy5MnYu3cvl2x899136NatGwDA1dUVmzZtQmhoKHbs2IHmzZtj0KBB3MvE1eHi4oKNGzdix44dCAkJgb6+PoYPHw5vb28ARb/mh4aGYuXKlZg5cya0tbXx6aefcs22KlLdJy0AYGhoiO+++w7r16/H6NGj0bx5cwwdOhQLFiwAAPj6+qJFixbYsGEDMjMz0alTJ/j5+WH8+PEV7o/H41VahxkzZoDP52P//v1Ys2YNWrVqhYkTJ+Lzzz+vdr0JIYQQUv/xGLVBIA2MQCDA2rVrMWrUKGVXhRBCCCGkQaJ3IgghhBBCCCE1QkkEIYQQQgghpEaoORMhhBBCCCGkRuhJBCGEEEIIIaRGKIkghBBCCCGE1AglEYQQQgghhJAaoSSCEEIIIYQQUiOURBBCCCGEEEJqhJIIQgghhBBCSI1QEkEIIYQQQgipEUoiCCGEEEIIITVCSQQhhBBCCCGkRiiJIIQQQgghhNQIJRGEEEIIIYSQGqEkghBCCCGEEFIjlEQQQgghhBBCaoSSCEIIIYQQQkiNUBJBamTatGkQCARyfywtLeHk5IQVK1bg9evXSqmXQCBAUFCQUvYNAIsXL8bAgQO56WnTpmHatGnV3j4yMhKenp5Vrrdt2zYIBIL33k9FCgoKsHr1apw4cYKbVzomQohqKe96bG5uDltbW4wdOxa//PKLQvarzteGhIQETJo0SWHlp6WlwdPTE0+fPlVI+aXvITU9l9WN/+jRoxAIBEhNTX2v/VQmJCQEYWFh3HTpmEjd0VR2BUj9Y2FhAX9/f266oKAAsbGx2LRpE+7evYsff/yxzut0+PBhGBkZ1fl+S+LxeNy/Sx6f6jhy5AgSExOrXG/ChAno379/hft9X8+fP0d4eDjWrl3LzfPy8oKHh8cHl00IUZzS12OpVIpnz55h7969+Oqrr9C8efMy14zaUBvXnfro999/x507dxRW/tWrV3Hp0iWFHt+SZdf0Ol/d+AcMGIDDhw/DwMCg3P1+iK1bt2LevHncdHn3RVI3KIkgNda0aVNYW1vLzevRowfevn2LrVu3Ijo6GkKhsE7rVLo+ysAY4/5tamqqkH0YGRkpNFkqGYOxsbHC9kMIqR3lXY/FYjEcHR3Ru3dv/Pzzzwr5glXyWkFqnyKPb11c5/X19aGvr6+QsktT9H2RVIyaM5Fa0717dwDgHl8CwJkzZzBmzBhYW1ujb9++WLVqFfLy8rjl27Ztg4uLCy5cuIDhw4fDysoKrq6uOH78uFzZ+/btg5ubG6ytreHo6Ijly5cjNzeXW166OdPz58/h6+uLAQMGQCgUYvz48Th37pxcmQKBAN9//z2+/vpr2Nvbw8bGBl988QVevHhRaZzZ2dnw9fWFvb097OzssGHDBshkMrl1SjczunLlCiZMmACxWAw7OzvMnTsXycnJAIoe8x47dgypqakQCAQ4duwYnjx5AoFAgL1798LNzQ0ikQhHjx4t97EtYwzBwcHo06cPxGIxvLy8kJKSwi0v7zFycfnF+3J2dgYA+Pr6YtCgQeVuJ5VKcfDgQQwfPhxCoRBOTk7YuHEjCgoK5PY1Y8YMREREwNXVFVZWVhg1ahQuX75c6TElhNQuLS0tfPTRR2jU6N/bvEwmw86dOzF48GDuWnvgwAG57aZNmwYfHx+EhISgT58+sLW1hZeXl9x1vbT8/Hxs3LiR+z9va2uLmTNnIj4+Xm69ixcvYtKkSRCLxejXrx+WLVuGnJwcbnlqaioWLFgAe3t7iEQieHh4IC4ujltefN06deoU5s6dC7FYDAcHB2zfvh25ublYsmQJevToAQcHB2zYsEFu3xKJBOvWrUP//v1hZWWFESNG4LfffpNbZ+DAgdi2bRsCAwPh4OAAoVCIWbNm4dGjRwCK7lfBwcEAKm9Ce/ToUXTv3h1HjhyBg4MD7O3tkZSUBKlUip07d2LYsGEQCoUQi8WYNGkSbty4wW23ZMkSAMCgQYPg6+vLlXnkyBEMHToUVlZWcHJyQlBQUJn7TmkSiQRr1qyBg4MDxGIxlixZAolEIrdO6et8bGwspk+fjh49esDGxgYzZsxAdHR0pfEX/3vMmDEQCoUIDg4u05wJKLpXHTp0iLsvlz6/FTVLKr0vAAgKCoK5uXm52w0cOFDu2BUf29L1+fvvv/HJJ5/A3t4etra2mD17tlyLgBs3bkAgEODatWuYOXMmRCIR+vbtW+49X11REkFqzYMHDwAAHTp0AACcOHEC8+bNQ5cuXRASEoJ58+bhl19+wdy5c+W2y8jIwMqVK+Hh4YGdO3eiffv2WLRoEfcl++TJk9iwYQOmTZuG7777Dl5eXjh+/DgCAgLKrUdmZibGjRuH27dvY8GCBdi2bRvatWsHLy8vuTb/ALBp0yYwxrBp0yZ89dVXOH/+PFavXl1hjDKZDLNmzcLly5exaNEiBAYGIioqCr/99luZR7XF0ykpKZg7dy6sra0RGhqKVatW4cGDB/D09ARjDF5eXujfvz8MDAxw+PBhODo6cmU2MgZ+AAAgAElEQVRs27YNn332GdavXw8HB4dy63T79m383//9H/z9/bFq1SrEx8dj+vTpePPmTZm6lMfQ0JC7QM+dO5e7SZTezs/PD2vWrIGLiwt27NiBqVOn4sCBA5gzZ45cebGxsdizZw/mz5+P4OBgaGho4PPPP1fa+zKENGSMMUilUhQWFqKwsBASiQRJSUnw9fVFXl4eRo4cya3r7++PrVu3YuTIkQgNDYWbmxtWr16NkJAQuTIvXLiA48ePw8/PDytWrEBcXBymTZuG/Pz8cuvw1Vdf4ejRo/jss8+wZ88eLF68GAkJCVi4cCG3zvnz5/HZZ5+hVatW2Lx5M/773//izJkz+OKLLwAAL1++xKRJk3D37l34+flh48aNkMlkmDp1KpKSkuT2t3TpUggEAuzYsQO9e/fGli1bMH78eDRu3BhBQUFwcXHB7t278fvvv3PHyMvLC4cOHcLMmTOxY8cOiMViLFiwAMeOHZMrOzw8HA8ePMDatWsREBCA2NhYLFq0CEBRs5lx48YBKGpCO378+ArPi1Qqxd69e7F69Wr4+vrC1NQUGzZswPbt2zF58mSEhYVh5cqVyM7Ohre3N/Lz8zFgwADuehoUFMTdK0NDQ+Hn5wcHBweEhoZi6tSp2LVrF7755psK9w8APj4+OHLkCGbPno2tW7ciOzsbe/furfBelZubi1mzZqFly5bYtm0bNm3ahLy8PHzyySfIzc2tNP7Q0FCMGDECW7duhaura7n1SU9PR0hICL788kts3LgR2dnZmDZtGp49e1amLhU5dOgQAGD8+PHcv9/H9evXMXnyZPB4PO5cp6WlYdKkSdx3j2I+Pj7o2bMnQkNDMWzYMOzevRtHjhx57303JNScidRY8U2r+JFodnY2/vrrL2zfvh1isRjdu3cHYwwbNmyAo6Mj1q1bx23bsWNHzJgxAxcvXuQesefl5WHVqlXo1asXAKBTp05wcnLCpUuXYGJigr/++gvt27fHlClTwOPx0KNHDzRu3LjCL6V79uxBVlYWDh06hDZt2gAAHB0dMWPGDAQGBmL48OHcumZmZlzS0KdPH8TExHA3nvJcunQJf//9N3bv3o2+ffsCAHr16lXpC2MxMTGQSCTw9PSEoaEhgKLHr+fOncPbt29hbGwMPT09aGlpcc0S3r59CwAYMmQIRo8eXWHZAKCpqYmwsDDuca6JiQlGjRqFY8eOYerUqQAqfzSupaXF/YrToUMHuV90irdLTExEREQEFi5ciE8//RQA0Lt3bxgaGuKrr76SO585OTk4evQo95i8cePGcHd3x40bNzB48OBKYyGE1MzNmze5p8DFeDwezMzMsGXLFu7/5YMHD3DkyBEsXLgQs2bNAlB0zWvUqBH3xbR58+YAiq7Ju3fv5v4Pm5iYYPTo0Th27FiZl2oLCgrw9u1bfPPNN3BzcwNQ1Lw1NzcXgYGBePHiBfel1MLCAtu2beO21dLSwtatW/HixQuEh4fj9evXZa7bQ4YMwdatW7FlyxZuO0dHR3h7ewMAunTpgpMnT8LAwABLly4FUHRNPnHiBKKiouDm5oarV6/izz//xObNm7k6Ojg4IC8vDxs3bsSIESO4JzbNmzfH9u3buS+zjx8/xrZt25CdnS3XbKY6TWhnz54t15QsIyMDCxYs4K7LxcfA29sb9+/fh7W1NXfMLSws0LZtW+Tk5CAkJASTJk3inlL06dMHLVq0wNKlSzFjxgx06dKlzL4TEhLwxx9/YPny5Zg4cSIAoG/fvhg+fHiZpKzkdT4rKwvTpk2DWCwGUHTuDx8+jDdv3lQaf8+ePeXerYiJiSlTJ6lUiuDgYFhaWgIARCIRnJ2dER4eziVqVTXjKm4qbWRk9EHNmDdu3IjOnTtj165d3Lnu27cvnJ2dsXXrVmzevJlbd8KECVxyZ29vjzNnzuDChQvccVVn9CSC1FjxTcvS0hKWlpZwcHDAwoULYWVlhW+//RYAkJycjPT0dDg5OXG/kBUWFqJnz55o0qQJrly5Ildm8QULAHeRKv4i3atXLzx48ABjxoxBcHAw/v77bwwfPlzuQlzSX3/9BbFYzN2Iig0fPhyZmZlyF1CRSCS3jpGRkVxzq9Ju3boFLS0tLoEAAB0dHfTv37/Ci59IJAKfz8e4ceOwevVqXL58GQKBAF988QWaNGlS4b4AVKvHCRsbG7n2oAKBAMbGxrh161aV21al+OL6119/AQCGDRsmt3zIkCHQ0NDAzZs3uXktW7aUa2db+nwSQmpP9+7dERERgYiICISEhKBr167o3LkzNm/eDBcXF26969evgzFW5prs5OQEiUQid70Qi8Vy/4fNzc1hbGws9/+8mJaWFnbv3g03Nzekp6fj+vXr+PHHH3H+/HkARUlGfn4+4uLiyvyI8PHHH+P//u//0LJlS1y7dg0CgQCGhoZc3Xg8Hvr164erV6/KbVfyftGyZUsAZb/U6urqcj80Xbt2DTweD46OjmViz8jIwP3797ntrKys5H4NL75+VXZfqEhxc5tixU/UX758iVu3biEiIoLrQatks9CSoqKiIJFIyj1vAMrcS4sVn8/i9YCi67mLi0uF96quXbtCX18fs2fPxrJly3DmzBkYGBhg4cKFVb5zUJ17VYcOHbgEAgAMDAwgEolq5V5VE2/fvkVsbCzc3NzkznWzZs0wcOBA7n5XrKbfE9QJPYkgNda9e3esWLECQNFFic/no02bNmjcuDG3TlZWFgBg+fLlWL58udz2PB4PGRkZcvP4fD737+JfhIrbHA4ZMgSMMXz//fcICQnhmif997//xccff1ymftnZ2VyTqpKKe4ko2QZXW1tbbp1GjRpV+ktIdnY2dHV1Kyy7PO3atcP+/fuxa9cuHDlyBOHh4dDV1cWUKVO4R/kVqSrJqGjf+vr6tdp8KDs7u9x9aWpqQk9PT25fJc8l8G8iQi9iElL7mjRpwj2J6N69O4RCIUaMGIEZM2bg6NGj0NPTA/DvNXno0KFlyuDxeHj+/Dk3XfzEtCR9/f9n797Dorru/Y+/RygDCoSLgpeCFdRacDKISmrSYBM1NianpoXYp6YWPKaTmDG0x4Q0aFFUAjHEWwWSkpIgxlxqx9bGpLVNTtI0GiviOCknUFGbCipTsBKQwAy33x/8ZpcRUO5s5Pt6Hp6Evfbe89kzOGvW7HXxU94HrvWXv/yFtLQ0/vGPfzBmzBi+9rWv4eHhAbT9u//8889pbW1VPvB3prq6mvPnz3e4q+LI174vv6enZ4d9HI/X1blbW1uJjIzs9Nz/+te/lA/BndUJQK/6wLevE6GtD/6mTZsoKirCw8ODadOmMX78eKDr90fH69bZFOCd1aUOjtfK8fo7jBs3rsu8Y8aMYd++fbzwwgv8/ve/580338Td3Z2lS5eyfv163Nzcujz22mvtTFd1VfvuTIOhtraW1tbWTp8Lf3//DnXntX9bo0aNkjER/580IkSPta+0uuL4oP3Tn/6UqKgop7LW1lbltnl33Xfffdx3331cvXqVjz76iJdeeonExETmzJnT4Y3glltu6fSN1bHt2jfVnvD19VUqpPbfYDje6Lty6623snv3bpqamjhx4gRvvvkmL774IjNmzFBur/d2+rvOHruyslJpSGk0mg5veD29K+B4vSorK5k4caKyvbGxkStXrvTpORVC9B9/f382bNjAj3/8Y1JTU9m2bRvwn/fk/Pz8Dl9OtLa2Ov27vnLlSofzVlVV8ZWvfKXD9vPnz2M0Glm0aBE5OTnKHYx9+/YpEyp4enqi0Wj497//7XSs3W7n448/JiIiAm9vb6KiopRuLe2zAXzpS1/qydPgxMvLi9GjR7N3794OZa2trUyePLnX5+4ux3iDr33ta7z99tvKDH5//vOf+eMf/9jlcY7Xbdu2bR2e/9bW1i6/wHK8J1++fFlpqMCN66opU6bw3HPP0draisVi4eDBg7z++usEBwezatWqG17n9XRVVzkal+2/cHL8f/uxfd11ozrPy8urywZYZWXloM0qdTOQ7kxiQISEhODv709ZWRnh4eHKT2BgIDt27Ogwa8f1PPnkk8qc0J6ennzrW99i9erVNDU1OX175hAVFYXZbO4wm8jvfvc7xo0b16cKY968eTQ1NfGnP/1J2Wa32zly5EiXjYB9+/Zx9913Y7fbcXV15etf/7pyJ8fxDcyN7oBcT2FhodNMVRaLhYsXL3LbbbcBbY2+K1euON0uLywsdDqHi4vLdR/D0RA8dOiQ0/a3336b5uZmZs+erWwbqfPHC6EWixcv5s477+Ttt99WuiDNmTMHaBvA3P49ubq6mp///OdOH/DMZrPTB/6ioiIuXLjAvHnzlG2Of+dFRUXY7XYMBoNTFyhHA6KlpUW5O3HtDHkffPABjzzyCP/617+YO3cu586dY/LkyU75Dh06hMlkcpplqqeioqL44osvaGlpcTp3aWkp2dnZNDc3d/tcvc1x7tw5Pv/8c374wx86TQH+4YcfAv+503Ht+fV6PV/60peoqKhwyu7q6sqOHTsoLy/v9PEcr9Xvf/97p+3vv/9+lwOr33vvPW677TaqqqrQaDRERESwceNGvLy8nOqq3vrHP/7hNHPgpUuXMJvNSl3luMPU/s7EtXVVdzJ4enp2uLvR/jyjR49m5syZ/P73v3dqbNTW1vLBBx841Wfi+uROhOix7nzYdXFx4Sc/+QkbN25k1KhR3HXXXdTU1PDCCy9gtVoJCwvr9uN94xvf4Omnn2br1q1ER0dTU1NDZmYmkydP7rQf5sqVKzl48CDx8fGsWbOGW265hd/+9rf89a9/JT09vUfXeq158+bxjW98g5/97GdcvnyZiRMnkp+fz5UrVzp8e+F4nubNm0dGRgZr1qzhoYcewsXFhTfeeAOtVqv0V73lllu4fPkyf/7znzv0o72RlpYWDAYDjz76KP/+97/Ztm0b06dP59vf/jbQNt3dq6++yvr164mJieH06dPk5eU5NRy8vLyAtoWOvvKVryh9QB3XMHXqVL7zne/w85//nIaGBubMmUNxcTGZmZl8/etfd5pRSrotCTF4uvr3tm7dOv7rv/6L1NRUfvOb3/DVr36Vb3/72yQnJ3PhwgXCw8P5xz/+wY4dOwgKCmLKlCnKsQ0NDTz88MMYjUauXr3Kjh07+OpXv+o0JsrxuI4PtBkZGaxcuRK73c6BAweUaUEd3wAnJCSwevVqnnjiCZYuXUplZSU7duxg0aJFTJs2jZUrV/K73/2OlStX8t///d/4+PjwzjvvsH//fmVAcW9985vfZO7cuTz22GM89thjhISE8Mknn5CZmcmdd96Jj49Pt8/luDNw6NAh9Hp9t9dZCAkJwdPTkxdeeAEXFxdcXFw4fPgw7733HvCf58lx/j/+8Y/ceeedhIaG8vDDD7Nr1y6uXr1KVFQUVquVn//852g0mi7HIgQHB7Ns2TJ27NhBY2MjX/va1zh48CCnT5/u8Dfj+D0yMpJRo0ZhNBr50Y9+xJgxY/j9739PXV2dMr6mt9cPbV1dV69ezU9+8hOam5vZtWsXfn5+/PCHPwTaXqdnn32W5ORkVq1axaVLl8jKyupw58zLy4uTJ09y/PjxDj0dHOfJyckhJyeHW2+9lf/93/9VptF1WLt2LQ8//DA/+tGPeOihh7Db7eTk5NDY2IjRaLzhtUg910buRIge6+43zQ8++CDbtm3DbDazevVqNm3aRFBQEK+++iqTJk1SznWj8z3wwANs3LiRjz76iNWrV7NhwwamTp3a4YOww9ixY3njjTcIDw8nNTWVn/zkJ1RUVPDCCy/ccKaj7uTJzMxUprL7n//5HyZMmKBMFXftuaCt8vjFL37BF198wZNPPsnjjz9OdXU1ubm5yu3p7373u8o0tAcPHuwyQ2f5Fi1axJw5c0hMTGTLli18/etfZ8+ePUr/1dtvv52f/vSnFBYWYjAY+MMf/kBmZqbTc+fp6cnKlSv505/+xCOPPEJjY2OHx3rmmWdYs2YNb731FgaDgddff524uDhycnJ69PwJIfpPV//epkyZwg9/+ENOnz7N66+/DkB6ejorV67kjTfe4OGHH1bWLHjllVeczhMREcGCBQtYt24daWlp3H777eTn5+Pq6qo8pmP/yZMns23bNqxWK6tXr2bz5s1MmTKF3/zmN2g0GuUb4G9+85u8+OKLnD9/njVr1ijvoxkZGUDbOIw33niDSZMmkZKSwurVqykqKiItLU35kNmX5ygnJ4f77ruPX/ziFzz88MP86le/Ij4+XpkM5EbHOzjWwnj66ad5+eWXu3UMtL3HZmdn09rayo9//GOefvppXF1dOXToEN7e3srz9PWvf53bb7+dbdu2KTMbOvb/05/+hMFg4Pnnn2fOnDns27ev0/EhDikpKfzoRz9i3759PP7449jtdh577DGnbO1fS19fX15++WW8vb352c9+xiOPPML//d//8fOf/1z5sN7d67/2OdBoNISHh7Ns2TJSUlL46U9/yuTJk9m3b5/S9eorX/kKW7du5cKFCzzyyCO8+uqrPPPMMx3G6Dj+Nh555BGlx0H7x3r00Ud58MEHyc3N5bHHHuPy5cs888wzTvvMmzePV155BZvNxtq1a9mwYQMTJkxg//79TrNdXa8uFqBp7UNzym638+yzz/L222/j4uJCbGwsa9euBdrmxk9OTsZisTBx4kTWrVvnNM/90aNHSUtLo7y8HL1eT2pqqlOLNi8vj9zcXOrq6rj33ntJTk7uMOBJCCHE8GMwGPD391fuDKampnZY9Cw5OVmZgU3qi8GzYsUKWlpa2Ldv31BHEUKoXJ/uRDz77LMcPXqUX/7yl2zbto39+/cri38YjUYCAgIwmUwsXbqUNWvWKH3ULl68iNFoJDY2FpPJhJ+fn9Pto8OHD5OVlUVqaip79uzBYrEo31YIIYQYvt5++22lH7jDuXPneOKJJzhy5IjyExMTA0h9MRSkq4YQojt63Yj4/PPP+dWvfkVqaio6nY558+axcuVKPvnkEz7++GPKysrYvHkzISEhGAwGIiIiMJlMQNvy7Tqdjvj4eEJDQ0lPT+fChQvKALD8/Hzi4uKU5ek3bdqEyWTqsFy7EEKI4aO6uprnnnsOnU7ntP3s2bOEh4fj7++v/DjuJEh9Mfikq4YQojt63YgoLCzE09NTmfEB2m5RP/PMM1gsFmbOnOl0O3n27NmYzWagbfaYuXPnKmXu7u6EhYVhNptpbm6mqKjIqVyv19PY2NijGX2EEEKoy9atW3nggQec+hxfvXoVq9Xa5axpUl8Mrr1790pXJiFEt/S6EVFWVsakSZP47W9/y7e+9S0WLlyoDBqqrKzsMHe/n58fVqsVaJuH99qBMmPHjsVqtVJbW4vNZnMqd3V1xcfHh4qKit7GFUIIMYQ+/vhjTp48yWOPPebUXebs2bNoNBpefPFF5s+fz9KlS/ntb3+rlEt9IYQQ6tTrKV7r6ur45z//ya9+9Su2bt3Kv/71LzZs2ICHhwcNDQ0dVjZ0c3NT5qm/XnlDQ4Pye1fHCyGEGD5sNhspKSls2LABrVbr1F3m3LlzuLi4EBoayooVKzh+/DjJycl4enqycOFCqS+EEEKlet2IcHV15erVq2zbto0JEyYAbQPgXnvtNe64444OKxPa7XZl6XCtVtvhDd5ms+Ht7a1UBteWtz++O65dUVgIIcTQyMzMZObMmcoMfe3fn7/zne+waNEiZarK6dOn89lnn/H666+zcOFCqS+EEEKlet2IGDduHFqtVmlAQNscvxUVFQQGBlJaWuq0f1VVldLFKTAwsMNy41VVVYSFheHr64tWq6WqqkpZ/KapqYnq6uoOXaSuR6PRUFNTT3Nzy413HkAuLqPw9vaQLJJlWGVRSw7JcuMsw8E777xDVVUVs2bNAqCxsRFom1np5MmTHea6nzJlCseOHQNGVn1xLTX9vV1LzdlA3fkkW++pOd9wyNbfet2I0Ov12Gw2PvvsM2XBrHPnzvHlL38ZvV5PTk4ONpsNrVYLtA3Edgx+0+v1TkuQ19fXU1xcTEJCAhqNBp1Ox4kTJ5T9T506haura5crM3alubmFpiZ1vJCSpXOSpXNqyaKWHCBZhrO9e/fS3NwMtH3r//zzzwOQmJjIzp07OXXqFHl5ecr+JSUlhISEACOzvriWZOs9NeeTbL2n5nxqztbfej2wOiQkhG9+85s8/fTTlJSU8Je//IWXXnqJ73//+0RFRTFhwgSSkpIoLS0lJyeHoqIiYmNjAYiJieHkyZPk5ORQWlpKUlISQUFByoqIy5cvJzc3l3fffZdPPvmElJQUli1bpjRIhBBCDB8TJ04kKCiIoKAggoODGT16NGPGjCEoKIgFCxZw4sQJXn75Zc6fP89rr73GwYMHWbVqFSD1hRBCqFWv70QAPP/882zZsoXly5fj4eHBD37wA37wgx8AkJ2dzfr164mJiWHy5MlkZmYyfvx4ACZNmsTu3btJS0sjOzubyMhIsrKylPMuWbKE8vJyNm7ciN1uZ/HixSQmJvYlqhBCCJVoP/5Ap9Oxa9cudu3axc6dOwkODmb79u3o9XpA6gshhFArTetNvDTllSt1Q35LydV1FL6+YySLZBlWWdSSQ7LcOIvoH2p4Ta+lpr+3a6k5G6g7n2TrPTXnGw7Z+luvuzMJIYQQQgghRqY+dWcaSerq6jh9um0F1IaGelpbNXh4tK3IPX36DMaMkW8EhRBCCCHEyCCNiG46fbqEp7YfwMs/GOu5AkbfEoiXfzC1l8/z3NrvMmvW7KGOKIQQQgghxKCQRkQPePkH4zN+GrWXy/DyD8Jn/LShjiSEEEIIIcSgk0bEdbTvwvT3v5cMcRohhBBCCCHUQRoR13FtF6bAkLlDHUkIIYQQQoghJ7Mz3YCjC9PoW8YPdRQhhBBCCCFUQe5ECCGEEGLAtO8aDDKjoRA3C2lECCGEEGLAtO8aLDMaCnHzkO5MQgghBpXBYCApKUn5vaysjPj4eGbNmsV9993HkSNHnPY/evQo999/PxEREcTFxVFWVuZUnpeXx5133klkZCTr16+noaFhUK5DdJ+ja7CXf7Cyra6uDrO5kI8//oijR49gNhdiNhdSV1c3hEmFEN0ljQghhBCD5u233+bDDz9Ufm9tbcVoNBIQEIDJZGLp0qWsWbOGS5cuAXDx4kWMRiOxsbGYTCb8/PwwGo3K8YcPHyYrK4vU1FT27NmDxWIhIyNj0K9L9JzjDsWT6XlsfOEdtuw5wVPbDzh1fRJCqJc0IoQQQgyK6upqnnvuOXQ6nbLt2LFjlJWVsXnzZkJCQjAYDERERGAymQDYv38/Op2O+Ph4QkNDSU9P58KFCxQUFACQn59PXFwc8+fPR6fTsWnTJkwmEzabbUiuUfSMl38wo28Z3+mdCiGEukkjQgghxKDYunUrDzzwAFOnTlW2WSwWZs6cibu7u7Jt9uzZmM1mpXzu3P9Mr+3u7k5YWBhms5nm5maKioqcyvV6PY2NjZSUyLfZatTcZOfvfy/BbC7sdP2l9uXStUkIdZOB1X3keMNzkFknhBCio48//piTJ0/yu9/9jo0bN6LRaACorKxk3LhxTvv6+flhtVqV8oCAAKfysWPHYrVaqa2txWazOZW7urri4+NDRUUFer1+gK9K9NQXn1vJfbsCr2NXO11/qX25DMIWQt2kEdFH8oYnhBDXZ7PZSElJYcOGDWi1WqUBAVBfX4+bm5vT/m5ubtjtdgAaGhq6LHcMoL7e8UJ9HF2Xai+XXbdcCKFu0ojoB/KGJ4QQXcvMzGTmzJnccccdQNtgakdDQqvV8vnnnzvtb7fb8fDwUMqvbRDYbDa8vb2VxsO15e2P7y4XF/X17nVkGo7Z6urqlLv0paV/79VjNDfZKS39u/IYX/1q9+/0D+fnbiipORuoO99wyNbfpBEhhBBiQL3zzjtUVVUxa9YsABobGwH4wx/+wKOPPsqZM2ec9q+qqlK6OAUGBlJZWdmhPCwsDF9fX7RaLVVVVUyZMgWApqYmqqurO3SRuhFv7541OgbTcMx25synPJHxa7z8gzvtttQdX3xu5aW3KvA6Wkvt5fO8tGWF0/iXvuRTA8nWe2rOp+Zs/U0aEUIIIQbU3r17aW5uBtruQjz//PMAJCYmcuHCBXJycrDZbGi1WgAKCwuVD4t6vZ7CwkLlXPX19RQXF5OQkIBGo0Gn03HixAll/1OnTuHq6sqMGTN6lLGmpp7m5pY+X2t/cnEZhbe3x7DMVlNTf8NuS93R/k5/TU09V650b6D1cH7uhpKas4G68w2HbP1NGhFCCCEG1MSJE51+Hz16NBqNhqCgICZNmsSECRNISkpi9erVvP/++xQVFbF161YAYmJiyM3NJScnh7vuuousrCyCgoKIiooCYPny5WzYsIFp06YREBBASkoKy5YtUxok3dXc3EJTk7oqfofhmG0gPkT15nkYjs+dGqg5G6g7n5qz9Tf1ddwSQghxU2s/sHrUqFFkZ2dTWVlJTEwMb731FpmZmYwfPx6ASZMmsXv3bg4cOMCDDz5ITU0NWVlZyvFLlizBYDCwceNGVq1aRUREBImJiYN+TUIIMdL06U7En/70Jx5//HGnbYsXL2bXrl2UlZWRnJyMxWJh4sSJrFu3ThlUB3D06FHS0tIoLy9Hr9eTmppKUFCQUp6Xl0dubi51dXXce++9JCcnO80jLoQQYnhKT093+j04OJi9e/d2uX90dDTR0dFdlhsMBgwGQ7/lE0IIcWN9uhNx5swZ7r77bo4cOaL8PPPMM7S2tmI0GgkICMBkMrF06VLWrFnDpUuXALh48SJGo5HY2FhMJhN+fn4YjUblvIcPHyYrK4vU1FT27NmDxWIhIyOjb1cqhBBCiGGp/SJ0sgCdEOrQp0bE2bNnmTZtGv7+/sqPp6cnx44do6ysjM2bNxMSEmb9ClUAACAASURBVILBYCAiIgKTyQTA/v370el0xMfHExoaSnp6OhcuXKCgoACA/Px84uLimD9/Pjqdjk2bNmEymbDZbH2/YiGEEEIMK21rMn3KU9sPcPq0rEYuhBr0qRFx7tw5ZVq99iwWCzNnznTqfjR79mzMZrNS3n6aNnd3d8LCwjCbzTQ3N1NUVORUrtfraWxspKRE3jiEEEKIkcjLPxgv/+ChjiGE+P963YhobW3l3Llz/OUvf2Hx4sUsWrSIbdu20djYSGVlZYc5uv38/LBarQBUVlYSEBDgVD527FisViu1tbXYbDancldXV3x8fKioqOht3G6rq6vDbC7EbC5UFsoRQgghhBBC/EevB1ZfvHiRhoYGtFotu3btory8nNTUVBoaGmhoaFBWEnVwc3NTVhW9XnlDQ4Pye1fHD6TTp0t4avuBXi2Q4+iz6TB9+gxuucVrIGIKIYQQQggxZHrdiJg0aRInTpzA09MTgBkzZtDS0kJiYiLf+c53qK+vd9rfbrfj4dG20IVWq+3QILDZbHh7eyuNh2vL2x/fXb1Z5tvFZVSvF8hp67NZgdexq9RePs+2xFilW5YalkFX05LskqVzasmilhztM0gWZ2rIIER7dXV1yngFuZMvxM2vT1O8OhoQDiEhIdhsNsaOHcvZs2edyqqqqpQuToGBgVRWVnYoDwsLw9fXF61WS1VVlTLeoqmpierq6g5dpG6kN6vz9XVFv/ara3p7eyjnU9My6JKlc5KlI7XkAMkihNr15U6+EGL46XUj4i9/+QtPPvkkf/7zn5UB1MXFxfj6+jJnzhxeeeUVbDabsmpoYWGh8q28Xq+nsLBQOVd9fT3FxcUkJCSg0WjQ6XScOHFC2f/UqVO4uroyY8aMHmXszdLjNTX1N96pB+eqqalXzTLoalqSXbKoO4tackiWG2cRQk16eye/uzrrNjxmzJgBeSwhxPX1uhERGRmJh4cH69evZ82aNZw/f56MjAwefvhhoqKimDBhAklJSaxevZr333+foqIitm7dCkBMTAy5ubnk5ORw1113kZWVRVBQEFFRUQAsX76cDRs2MG3aNAICAkhJSWHZsmVKg6S7erP0eH9+MGhublHOp6Zl0CVL5ySLenOAZBFCdOw2/Nza7zJr1uyhjiXEiNTrRsSYMWP45S9/yTPPPENMTAxjxozh+9//PqtWrQIgOzub9evXExMTw+TJk8nMzGT8+PFA23iK3bt3k5aWRnZ2NpGRkWRlZSnnXrJkCeXl5WzcuBG73c7ixYtJTEzs46UKIYQQYrhr321YCDF0+jQmYurUqbzyyiudlgUHB7N3794uj42OjiY6OrrLcoPBgMFg6Es8IYQQKvHPf/6TzZs3c/LkSXx8fPjBD36gfOmUmprKq6++6rR/cnIyDz30EABHjx4lLS2N8vJy9Ho9qampBAUFKfvm5eWRm5tLXV0d9957L8nJyU7rFAkhhOh/Mr2HEEKIAdXS0oLBYMDf35+DBw+SkpLCCy+8wKFDh4C2hUufeOIJjhw5ovzExMQAbdOJG41GYmNjMZlM+Pn5YTQalXMfPnyYrKwsUlNT2bNnDxaLhYyMjCG5TiGEGEmkESGEEGJAVVVVER4eTkpKCsHBwcyfP5958+Zx8uRJAM6ePUt4eDj+/v7Kj+NOwv79+9HpdMTHxxMaGkp6ejoXLlygoKAAgPz8fOLi4pg/fz46nY5NmzZhMpmw2WxDdr1CCDESSCNCCCHEgAoICGD79u2MHj2a1tZWCgsLKSgoICoqiqtXr2K1Wpk8eXKnx1osFmWmPgB3d3fCwsIwm800NzdTVFTkVK7X62lsbKSkRNYpEEKIgdSnMRFCCCFET9x9991cunSJu+66i3vuuYe//e1vaDQaXnzxRT788EN8fHxYuXIlDzzwAACVlZUEBAQ4nWPs2LFYrVZqa2ux2WxO5a6urvj4+FBRUYFerx/UaxupHIvMDfYCczLdqxBDSxoRA8Tx5uaYy33ChMlotTKnuxBiZMvMzKSyspKUlBTS0tKYOXMmo0aNIjQ0lBUrVnD8+HGSk5Px9PRk4cKFNDQ04Obm5nQONzc37HY7DQ0Nyu+dlYvB4Vhk7ovPrYO6wJxM9yrE0JJGxAC59s1tW2Ist946a6hjCSHEkAoPDwcgKSmJJ598kqeffpqFCxfi6ekJwPTp0/nss894/fXXWbhwIVqttkODwGaz4e3trTQeri232+14ePTsSxsXF/X17nVkUns2F5dRePkHA5pBz9F+ulcXl1G4ujo/Z2p/7tRGzdlA3fmGQ7b+Jo2IASRzWQshBFy+fBmz2czChQuVbaGhoTQ2NlJbW4uvr6/T/lOmTOHYsWMABAYGUllZ6VReVVVFWFgYvr6+aLVaqqqqmDJlCgBNTU1UV1czbty4HmVU8+rfas+mlnze3h74+o7psE2tJFvvqTmfmrP1N2lECCGEGFBlZWU8/vjjfPDBBwQGBgJQVFSEn58f+fn5mM1m8vLylP1LSkoICQkB2gZKFxYWKmX19fUUFxeTkJCARqNBp9Nx4sQJZXD1qVOncHV1ZcaMGT3KWFNTT3OzulYhd3SHVXu2mpr6oY4DtL2GV67UAcPnuZNsPaPmfMMhW3+TRoQQQogBdeuttxIeHs66detYt24d5eXlPP/886xevZqIiAheeuklXn75ZRYuXMhHH33EwYMHlcVKY2JiyM3NJScnh7vuuousrCyCgoKIiooCYPny5WzYsIFp06YREBBASkoKy5YtQ6vV9ihjc3MLTU3qqvgd1J5NLR+YOnue1P7cSbbeUXM+NWfrb9KIEEIIMaBGjRpFdnY2W7Zs4Xvf+x4eHh6sWLGCFStWALBr1y527drFzp07CQ4OZvv27crMSpMmTWL37t2kpaWRnZ1NZGQkWVlZyrmXLFlCeXk5GzduxG63s3jxYhITE4fkOoUQYiSRRoQQQogBFxAQwO7duzstW7BgAQsWLOjy2OjoaKKjo7ssNxgMGAyGPmcUQgjRfeobQi6EEEIIIYRQNWlECCGEEEIIIXpEGhFCCCGEEEKIHpExEUIIIYQY1pqb7Pz97yXK723riIy5zhFCiL6SRoQQQgghhrUvPreS+3YFXseuUnv5PNsSR/HlLwcMdSwhbmrSiBgEzU12SkqKlbm0p0+fwZgx8g2JEEII0V+8/IPxGT9NqXMdC3+Fhk6XOleIASCNiEHwxedWXnqrAi//Wmovn+e5td9l1qzZQx1LCCGEuOk46tw3jkqdK8RAkkbEIHF8QyKEEEKIgSV1rhADTxoRQgghhOiRuro6zpz5lJqaeqcBzUKIkUMaEUIIIYTokb//vYQnMn6Nl38w1nMFBIbMHepIQohB1m/rRBgMBpKSkpTfy8rKiI+PZ9asWdx3330cOXLEaf+jR49y//33ExERQVxcHGVlZU7leXl53HnnnURGRrJ+/XoaGhr6K6oQQohB9s9//pNVq1Yxa9Ys7rrrLnJzc5UyqS+GJ0eXodG3jB/qKEKIIdAvjYi3336bDz/8UPm9tbUVo9FIQEAAJpOJpUuXsmbNGi5dugTAxYsXMRqNxMbGYjKZ8PPzw2g0KscfPnyYrKwsUlNT2bNnDxaLhYyMjP6IKoQQYpC1tLRgMBjw9/fn4MGDpKSk8MILL3Do0CGpL4QQYpjqcyOiurqa5557Dp1Op2w7duwYZWVlbN68mZCQEAwGAxEREZhMJgD279+PTqcjPj6e0NBQ0tPTuXDhAgUFBQDk5+cTFxfH/Pnz0el0bNq0CZPJhM1m62tcIYQQg6yqqorw8HBSUlIIDg5m/vz5zJs3j8LCQqkvhBBimOpzI2Lr1q088MADTJ06VdlmsViYOXMm7u7uyrbZs2djNpuV8rlz/9N/0t3dnbCwMMxmM83NzRQVFTmV6/V6GhsbKSmRwVtCCDHcBAQEsH37dkaPHk1rayuFhYUUFBRw2223SX0hhBDDVJ8aER9//DEnT57kscceo7W1VdleWVnJuHHjnPb18/PDarUq5QEBzitJjh07FqvVSm1tLTabzanc1dUVHx8fKioq+hJXCCHEELv77rt56KGHmDVrFvfcc4/UF0IIMUz1uhFhs9lISUlhw4YNaLVaNBqNUlZfX4+bm5vT/m5ubtjtdgAaGhq6LHcMiLve8UIIIYanzMxMXnzxRYqLi0lLS7tufQBSXwghhFr1eorXzMxMZs6cyR133AG0DaZ2NCS0Wi2ff/650/52ux0PDw+l/No3eJvNhre3t1IZXFve/vjucnHpeRupN8f05jFcXQf+cTp73Pb/HUqSpXNqyaKWHO0zSBZnasjQG+Hh4QAkJSXx5JNPEhMTQ319vdM+w6W+GGhq+nu71qhRmhvvpBJDVed2Rc2vq5qzgbrzDYds/a3XjYh33nmHqqoqZs2aBUBjYyMAf/jDH3j00Uc5c+aM0/5VVVXKLevAwEAqKys7lIeFheHr64tWq6WqqoopU6YA0NTURHV1dYdb3jfi7d2zSqS3x/TmMXx9xwz441zv8dVCsnROLVnUkgMky3B2+fJlzGYzCxcuVLaFhobS2NjIuHHjOHv2rNP+w6W+GCxqzObp6X7jnVRiqOvcrqjxdXVQczZQdz41Z+tvvW5E7N27l+bmZqDtLsTzzz8PQGJiIhcuXCAnJwebzYZWqwWgsLBQGfym1+spLCxUzlVfX09xcTEJCQloNBp0Oh0nTpxQ9j916hSurq7MmDGjRxlrauppbm654X51dXXKipslJcU9eoyeam6yc/z4SWpq2r55++pXZzBmzOC8ubm4jMLb26Pbz4tkGblZ1JJDstw4y3BQVlbG448/zgcffEBgYCAARUVF+Pv7M3v2bF5++eVhU18MJjX9vYFzXXn69PAZuF5TU8+VK3VDHUOhtte1PTVnA3XnGw7Z+luvGxETJ050+n306NFoNBqCgoKYNGkSEyZMICkpidWrV/P+++9TVFTE1q1bAYiJiSE3N5ecnBzuuususrKyCAoKIioqCoDly5ezYcMGpk2bRkBAACkpKSxbtkypYLqrubmFpqYbv5CffvopT20/MCgrb37xuZWX3qrA62gttZfP89za7zJr1uwBe7zOdPd5GQySpXNqyaKWHCBZhrNbb72V8PBw1q1bx7p16ygvL+f555/n0UcfJSoqaljVF0NBLdkGs67sT2p5/q6l1lyg7myg7nxqztbf+q2TVPuB1aNGjSI7O5vKykpiYmJ46623yMzMZPz4tlUtJ02axO7duzlw4AAPPvggNTU1ZGVlKccvWbIEg8HAxo0bWbVqFRERESQmJvZX1E4N5sqbjsfy8g8e8McSQoih5qgTRo8ezfe+9z1+9rOfsWLFClasWDEs64uRTFapFkI49PpOxLXS09Odfg8ODmbv3r1d7h8dHU10dHSX5QaDAYPB0F/xhBBCDKGAgAB2797daZnUF2KgNDfZlS5Y06cPXvdhIUYC9Q0hF0IIIYToB198biX37bZuWMNpHIcQw0G/3YkQQgghhFAb6TosxMCQOxFCCCGEEEKIHpFGhBBCCCGEEKJHpBEhhBBCCCGE6BEZEzGE2s8aATJzhBBCCCGEGB6kETGE2maNqMDr2NUhW3hOCCGEuNnJl3ZC9D9pRAwxx8I9QgghhBgY8qWdEP1PGhFCCCGEuOnJl3ZC9C8ZWC2EEEIIIYToEWlECCGEGHBWq5WEhARuu+02oqOjefbZZ7Hb7QCkpqYyY8YMp599+/Ypxx49epT777+fiIgI4uLiKCsrczp3Xl4ed955J5GRkaxfv56GhoZBvTYhhBiJpBEhhBBiQLW2tpKQkIDNZuO1115j+/btvP/+++zcuROAs2fP8sQTT3DkyBHlJyYmBoCLFy9iNBqJjY3FZDLh5+eH0WhUzn348GGysrJITU1lz549WCwWMjIyhuQ6hRBiJJFGhBBCiAF17tw5LBYL6enphIaGMmfOHBISEjh06JBSHh4ejr+/v/Lj7u4OwP79+9HpdMTHxxMaGkp6ejoXLlygoKAAgPz8fOLi4pg/fz46nY5NmzZhMpmw2WxDdr03k7q6OszmQszmQqfZjYQQQhoRQgghBlRAQAC5ubn4+fkp21pbW7l69SpXr17FarUyefLkTo+1WCzMnTtX+d3d3Z2wsDDMZjPNzc0UFRU5lev1ehobGykpkQ+8/eH06RKe2n6ALXtOsPu194c6jhBCRaQRIYQQYkB5eXlxxx13KL+3tLTw6quvMm/ePM6ePYtGo+HFF19k/vz5LF26lN/+9rfKvpWVlQQEBDidb+zYsVitVmpra7HZbE7lrq6u+Pj4UFFRMfAXNkI4ZjUafcv4oY4ihFARmeJVCCHEoMrIyKCkpIRf//rX/O1vf8PFxYXQ0FBWrFjB8ePHSU5OxtPTk4ULF9LQ0ICbm5vT8W5ubtjtdmUAdVflQnRGFp4Ton9II0IIIcSgycjIID8/n507dzJ16lSmTp3KokWL8PT0BGD69Ol89tlnvP766yxcuBCtVtuhQWCz2fD29lYaD9eW2+12PDw8epTLxUV9N+YdmYYymxqfl766duG5bYmxREYO3sJzanhdu6LmbKDufMMhW3+TRoQQQohBsWXLFt544w0yMjJYtGiRst3RgHCYMmUKx44dAyAwMJDKykqn8qqqKsLCwvD19UWr1VJVVcWUKVMAaGpqorq6mnHjxvUom7d3zxodg2kos6n5eemL9gvPeXt74Os7+Hci1PzcqjkbqDufmrP1N2lECCGEGHCZmZm8+eab7Nixg3vuuUfZvnPnTk6dOkVeXp6yraSkhJCQEKBtoHRhYaFSVl9fT3FxMQkJCWg0GnQ6HSdOnFAGV586dQpXV1dmzJjRo3w1NfU0N7f04Qr7n4vLKLy9PYY0W01N/ZA87mCqqannypW6QXs8NbyuXVFzNlB3vuGQrb9JI0IIIcSAOnv2LNnZ2Tz66KNERkY63VlYsGABv/zlL3n55ZdZuHAhH330EQcPHmTv3r0AxMTEkJubS05ODnfddRdZWVkEBQURFRUFwPLly9mwYQPTpk0jICCAlJQUli1bhlar7VHG5uYWmprUVfE7DGU2tX0YGghD9fzK31zvqTmfmrP1N2lECCGEGFDvvfceLS0tZGdnk52drWzXaDQUFxeza9cudu3axc6dOwkODmb79u3o9XoAJk2axO7du0lLSyM7O5vIyEiysrKUcyxZsoTy8nI2btyI3W5n8eLFJCYmDvo1CiHESNOnRsQ///lPNm/ezMmTJ/Hx8eEHP/gBq1atAqCsrIzk5GQsFgsTJ05k3bp1TlP8HT16lLS0NMrLy9Hr9aSmphIUFKSU5+XlkZubS11dHffeey/JycnK4kM3I5ktQghxszIYDBgMhi7LFyxYwIIFC7osj46OJjo6utfnF0II0f96PVy7paUFg8GAv78/Bw8eJCUlhRdeeIFDhw7R2tqK0WgkICAAk8nE0qVLWbNmDZcuXQLg4sWLGI1GYmNjMZlM+Pn5YTQalXMfPnyYrKwsUlNT2bNnDxaLhYyMjL5frYq1zRbxKVv2nOCp7Qc4fVoWShJCCCGEEOrU60ZEVVUV4eHhpKSkEBwczPz585k3bx6FhYUcO3aMsrIyNm/eTEhICAaDgYiICEwmEwD79+9Hp9MRHx9PaGgo6enpXLhwgYKCAgDy8/OJi4tj/vz56HQ6Nm3ahMlkwmaz9c9Vq5Rjtggv/+ChjiKEEEIIIUSXet2ICAgIYPv27YwePZrW1lYKCwspKCjgtttuw2KxMHPmTKfuR7Nnz8ZsNgNgsViUmTQA3N3dCQsLw2w209zcTFFRkVO5Xq+nsbGRkhL5dl4IIYQQQoih1i+rT9x999089NBDzJo1i3vuuYfKysoOc3T7+flhtVoBqKysJCAgwKl87NixWK1WamtrsdlsTuWurq74+PhQUVHRH3GFEEIIIYQQfdAvszNlZmZSWVlJSkoKaWlpNDQ0KCuJOri5uSmril6vvKGhQfm9q+O7q7sr9Kl1dUFX1/7NpabVFCVL59SSRS052meQLM7UkEEIIcTI1S+NiPDwcACSkpJ48skniYmJob7eeYEau92Oh0fbQhdarbZDg8Bms+Ht7a00Hq4tb398d3V3YQ01ri44kCtoqul6JUvn1JJFLTlAsgghhBBq0utGxOXLlzGbzSxcuFDZFhoaSmNjI+PGjePs2bNO+1dVVSldnAIDA50WG3KUh4WF4evri1arpaqqiilTpgDQ1NREdXV1hy5SN9LdVQPVuCLnQKygqabVFCWLurOoJYdkuXEWIUTvyfTqQvRerxsRZWVlPP7443zwwQcEBgYCUFRUhL+/P7Nnz+bll1/GZrMpq4YWFhYqg6X1ej2FhYXKuerr6ykuLiYhIQGNRoNOp+PEiRPK/qdOncLV1ZUZM2b0KGN3Vw0c6g8D12pusvPpp58qufr7TU1NqylKls6pJYtacoBkEUL0v7bp1SvwOnaV2svneW7td5k1a/ZQxxJiWOh1p9pbb72V8PBw1q1bx9mzZ/nzn//M888/z6OPPkpUVBQTJkwgKSmJ0tJScnJyKCoqIjY2FoCYmBhOnjxJTk4OpaWlJCUlERQURFRUFADLly8nNzeXd999l08++YSUlBSWLVumNEhudrJmhBBCiKFSV1eH2VyI2Vzo9C39zUqmVxeid3p9J2LUqFFkZ2ezZcsWvve97+Hh4cGKFStYsWIFANnZ2axfv56YmBgmT55MZmYm48ePB2DSpEns3r2btLQ0srOziYyMJCsrSzn3kiVLKC8vZ+PGjdjtdhYvXkxiYmIfL3V4cbypCSGEEIPp9OkSntp+AC//YKznCggMmXvjg4QQI06fBlYHBASwe/fuTsuCg4PZu3dvl8dGR0cTHR3dZbnBYMBgMPQlnhBCCJWwWq0888wz/PWvf0Wr1bJkyRLWrl2Lm5sbZWVlJCcnY7FYmDhxIuvWreOOO+5Qjj169ChpaWmUl5ej1+tJTU0lKChIKc/LyyM3N5e6ujruvfdekpOTndYpEj3n+CKr9nLZUEcRQqiUzBEohBBiQLW2tpKQkIDNZuO1115j+/btvP/+++zcuRMAo9FIQEAAJpOJpUuXsmbNGi5dugTAxYsXMRqNxMbGYjKZ8PPzw2g0Kuc+fPgwWVlZpKamsmfPHiwWCxkZGUNynUIIMZJII0IIIcSAOnfuHBaLhfT0dEJDQ5kzZw4JCQkcOnSIY8eOUVZWxubNmwkJCcFgMBAREYHJZAJg//796HQ64uPjCQ0NJT09nQsXLlBQUABAfn4+cXFxzJ8/H51Ox6ZNmzCZTNhstqG8ZDEMOWZqcowHqavr3xkShbjZSCNCCCHEgAoICCA3Nxc/Pz9lW2trK7W1tVgsFsLDw526H82ePRuz2QyAxWJRZuoDcHd3JywsDLPZTHNzM0VFRU7ler2exsZGSkpu/gHBon/JpCZC9Iw0IoQQQgwoLy8vpzEOLS0tvPrqq9x+++1UVlYSEBDgtL+fnx9WqxWg0/KxY8ditVqpra3FZrM5lbu6uuLj40NFRcUAXpG4WclMTUJ0X7+sWC2EEEJ0V0ZGBiUlJfz617/mlVdewc3Nzanczc0Nu90OQENDQ5flDQ0Nyu9dHd9dLi7q+07NkWmws6nxuRgKLi6jcHXt/+diqF7X7lBzNlB3vuGQrb9JI0LlZDVNIcTNJCMjg/z8fHbu3MnUqVPRarVUV1c77WO32/HwaFuNW6vVdmgQ2Gw2vL29lcbDteXtj+8uNa/+PdjZ1PxcDCZvbw98fQeuvlXz86zmbKDufGrO1t+kEaFyspqmEOJmsWXLFt544w0yMjJYtGgRAIGBgZSWljrtV1VVxbhx45TyysrKDuVhYWH4+vqi1WqpqqpiypQpADQ1NVFdXa0c3101NfU0N6trFXIXl1F4e3sMeraamvpBeyw1q6mp58qV/h9cPVSva3eoORuoO99wyNbfpBExDMjCc0KI4S4zM5M333yTHTt2cM899yjb9Xo9OTk52Gw2tFotAIWFhcpgab1eT2FhobJ/fX09xcXFJCQkoNFo0Ol0nDhxQtn/1KlTuLq6MmPGjB7la25uoalJXRW/w2BnU9sHoKEy0M+7/M31nprzqTlbf1Nfxy0hhBA3lbNnz5KdnY3BYCAyMpLKykrlJyoqigkTJpCUlERpaSk5OTkUFRURGxsLQExMDCdPniQnJ4fS0lKSkpIICgoiKioKgOXLl5Obm8u7777LJ598QkpKCsuWLVMaJEIIIQaG3IkYRmR8hBBiOHrvvfdoaWkhOzub7OxsZbtGo6G4uJjs7GzWr19PTEwMkydPJjMzk/HjxwMwadIkdu/eTVpaGtnZ2URGRpKVlaWcY8mSJZSXl7Nx40bsdjuLFy8mMTFx0K9RCCFGGmlEDCMyPkIIMRwZDAYMBkOX5cHBwezdu7fL8ujoaKKjo3t9fiGEEP1PGhHDjIyPEEIIIYQQQ00aEUIIIYSgrq6O06dLnLrNjlTtuw9L12EhOicDq4UQQgjB6dMlPLX9ALtfe3+oowy5tu7Dn/LU9gOcPi2NKiE6I3cihBBCCAG0dZkFzVDHUIW250II0RVpRAxTMlOTEEIIIYQYKtKIGKZkpiYhhBBCCDFURmwjwjGADBi2g8hkpiYhhBBi4MhdfyG6NmIbEY4BZF7+wVjPFRAYMneoIwkhhBBCReSuvxBdG7GNCPjPN/m1l8uGOooQQgghVEju+gvROZniVQghhBBCCNEjfWpEWK1WEhISuO2224iOjubZZ5/FbrcDUFZWRnx8PLNmzeK+++7jyJEjTscePXqU+++/n4iICOLi4igrc74bkJeXx5133klkZCTr16+noaGhL1GFEEKogN1u5/777+f48ePKttTUVGbMmOH0s2/fPqVc6gshhFCfXjciWltbSUhIwGaz8dprr7F9+3bef/99du7cCYDRaCQgIACTqJaGCQAAIABJREFUycTSpUtZs2YNly5dAuDixYsYjUZiY2MxmUz4+flhNBqVcx8+fJisrCxSU1PZs2cPFouFjIyMPl6qEEKIoWSz2Vi7di1nzpxBo/nPWgTnzp3jiSee4MiRI8pPTEwMIPWFEEKoVa8bEefOncNisZCenk5oaChz5swhISGBQ4cOcezYMcrKyti8eTMhISEYDAYiIiIwmUwA7N+/H51OR3x8PKGhoaSnp3PhwgUKCgoAyM/PJy4ujvnz56PT6di0aRMmkwmbzdY/V32TccweYTYXYjYXUldXN9SRhBDCyZkzZ1i2bFmHuwgAZ8+eJTw8HH9/f+XH3d0dkPpCCCHUqteNiICAAHJzc/Hz81O2tba2Ultbi8ViITw8XKkEAGbPno3ZbAbAYrEwd+5/ZkNyd3cnLCwMs9lMc3MzRUVFTuV6vZ7GxkZKSobnVKwDrW32iE/ZsucET20/oExdK4QQalFQUMC8efN48803nbZfvXoVq9XK5MmTOz1O6gshhFCnXs/O5OXlxR133KH83tLSwquvvsrtt99OZWUlAQEBTvv7+flhtVoBOi0fO3YsVquV2tpabDabU7mrqys+Pj5UVFSg1+t7G/mmJrNHCCHU7Pvf/36n28+ePYtGo+HFF1/kww8/xMfHh5UrV/LAAw8AUl8I9ZA1I4Rw1m9TvGZkZFBSUsKvf/1rXnnlFdzc3JzK3dzclEHXDQ0NXZY7BsRd7/jucnHp+kbL9cqGOxeXUbi6drw+xzWr4dolS+fUkkUtOdpnkCzO1JChP5w7dw4XFxdCQ0NZsWIFx48fJzk5GU9PTxYuXKiK+mKoDPbfmxqfAzW5ds2IbYmxREb2fM0INb2PXEvN2UDd+YZDtv7WL42IjIwM8vPz2blzJ1OnTkWr1VJdXe20j91ux8PDAwCtVtvhDd5ms+Ht7a1UBteWtz++u7y9u97/emXDnbe3B76+XX87oqZrlyydU0sWteQAyXKz+s53vsOiRYvw9PQEYPr06Xz22We8/vrrLFy4UBX1xVAbrGxqfg7Uov1d/xvVtTei5udbzdlA3fnUnK2/9bkRsWXLFt544w0yMjJYtGgRAIGBgZSWljrtV1VVxbhx45TyysrKDuVhYWH4+vqi1WqpqqpiypQpADQ1NVFdXa0c3101NfU0N7d0WXazqqmp58qVjoOrXVxG4e3tcd3nZbBIFnVnUUsOyXLjLDcDRwPCYcqUKRw7dgxQR30xVAb77+1mrhcHQld17Y2o6X3kWmrOBurONxyy9bc+NSIyMzN588032bFjB/fcc4+yXa/Xk5OTg81mQ6vVAlBYWKgMftPr9RQWFir719fXU1xcTEJCAhqNBp1Ox4kTJ5T9T506haurKzNmzOhRvubmFpqaOn8h1fYC96frXXd3ygeTZOmcWrKoJQdIlpvVzp07OXXqFHl5ecq2kpISQkJCAHXUF0NtILPV1dUpk3G07+8vbqyvr8tI/ZvrD2rOp+Zs/a3XnaTOnj1LdnY2BoOByMhIKisrlZ+oqCgmTJhAUlISpaWl5OTkUFRURGxsLAAxMTGcPHmSnJwcSktLSUpKIigoiKioKACWL19Obm4u7777Lp988gkpKSksW7ZMaZAIIYS4OSxYsIATJ07w8ssvc/78eV577TUOHjzIqlWrAKkvBtrp0yU8tf0AW/acYPdr7w91HCHEMNLrOxHvvfceLS0tZGdnk52drWzXaDQUFxeTnZ3N+vXriYmJYfLkyWRmZjJ+/HgAJk2axO7du0lLSyM7O5vIyEiysrKUcyxZsoTy8nI2btyI3W5n8eLFJCYm9uEyRw6ZPUIIMZzodDp27drFrl272LlzJ8HBwWzfvl2ZWUnqi4Hn6Odfe7njGh5CCNGVXjciDAYDBoOhy/Lg4GD27t3bZXl0dDTR0dG9Pr/o3LWzRzy39rvMmtXz2SOEEGKgXLuGw4IFC1iwYEGX+0t9IYQQ6tNvU7wK9ZA1I4QQQgghxECSRoQQQgghRA9I12EhpBEhhBBCCNEj0nVYCGlE3NSu/aakbV51+aZECCGE6CvpOixGOmlE3MSu/aZkW+IovvzlgKGOJYQQQtw0pGuTGKmkEXGTc3xT0txkp6SkWFlNMTR0urzJCSGEEH0kXZvESCWNiBHii8+tvPRWBW8crZU3OSGEEKIfSdcmMRJJI2IEkTc5IYQQQgjRH6QRIYQQQowgdXV1nD7d1oe/fV9+IYToCWlECCGEECPI6dMlPLX9AF7+wVjPFRAYMneoIwkhhqFRQx1ACCHEyGG327n//vs5fvy4sq2srIz4+HhmzZrFfffdx5EjR5yOOXr0KPfffz8RERHExcVRVlbmVJ6Xl8edd95JZGQk69evp6GhYVCuZThzdG8dfcv4oY4ihBimpBExAjmmozObCzGbC6mrqxvqSEKIEcBms7F27VrOnDmDRqMBoLW1FaPRSEBAACaTiaVLl7JmzRouXboEwMWLFzEajcTGxmIymfDz88NoNCrnPHz4MFlZWaSmprJnzx4sFgsZGRlDcn1CtK9fpW4VNztpRIxAbdPRfcqWPSd4avsBpW+sEEIMlDNnzrBs2bIOdxGOHTtGWVkZmzdvJiQkBIPBQEREBCaTCYD9+/ej0+mIj48nNDSU9PR0Lly4QEFBAQD5+fnExcUxf/58dDodmzZtwmQyYbPZBv0ahXDUr1K3ipFAGhEjVPtb2XJXQggx0AoKCpg3bx5vvvmm03aLxcLMmTNxd3dXts2ePRuz2ayUz537nz777u7uhIWFYTabaW5upqioyKlcr9fT2NhISYl8gBNDw8s/GC//4KGOIcSAk4HVI5wskiOEGAzf//73O91eWVnJuHHjnLb5+flhtVqV8oCAAKfysWPHYrVaqa2txWazOZW7urri4+NDRUUFer2+n69CCCGEgzQihKwfIYQYMvX19bi5uTltc3Nzw263A9DQ0NBluWMA9fWO7y4XF/XdmHdk6u9sarzWm5GLyyhcXTs+1wP1uvYHNWcDdecbDtn6mzQihBBCDBl3d3eqq6udttntdjw8PADQarUdGgQ2mw1vb2+l8XBtefvju8vbu2f7D6b+zqbma72ZeHt74Os75rrlaqXmbKDufGrO1t+kESEUjlklHKZPn8GYMV2/AQohRF8FBgZSWlrqtK2qqkrp4hQYGEhlZWWH8rCwMHx9fdFqtVRVVTFlyhQAmpqaqK6u7tBF6kZqauppbm7pw5X0PxeXUXh7e/R7tpqa+n47l+hcc5Od48dPKs/1V7/6n/p0oF7X/qDmbKDufMMhW3+TRoRQyPgIIcRgu/XWW8nJycFms6HVagEoLCxUBkvr9XoKCwuV/evr6ykuLiYhIQGNRoNOp+PEiRPK/qdOncLV1ZUZM2b0KEdzcwtNTeqq+B36O5vaPuDcjL743MpLb1XgdbS2y/p0JP3N9Tc151Nztv6mvo5bYkg5xkfIzBJCiMFw2223MWHCBJKSkigtLSUnJ4eioiJiY2MBiImJ4eTJk+Tk5FBaWkpSUhJBQUFERUUBsHz5cnJzc3n33Xf55JNPSElJYdmyZUqDRIihIvWpuNlJI0IIIcSQGTVqFNnZ2VRWVhITE8Nbb71FZmYm48e3raQ8adIkdu/ezYEDB3jwwQepqakhKytLOX7JkiUYDAY2btzIqlWriIiIIDExcaguRwghRox+6c5kt9v57ne/y4YNG5Rvh8rKykhOTsZisTBx4kTWrVvHHXfcoRxz9OhR0tLSKC8vR6/Xk5qaSlBQkFKel5dHbm4udXV13HvvvSQnJzvNIy6EEGJ4unYNh+DgYPbu3dvl/tHR0URHR3dZbjAYMBgM/ZZPCCHEjfX5ToTNZmPt2rWcOXMGjUYDQGtrK0ajkYCAAEwmE0uXLmXNmjVcunQJgIsXL2I0GomNjcVkMuHn54fRaFTOefjwYbKyskhNTWXPnj1YLBYyMjL6GlX0gGOQtdlcyMcff8TRo0dkQTohhBim6urqlPfw9hNoCCFEb/XpTsSZM2d44oknOmw/duwYZWVl/OpXv8Ld3R2DwcDHH3+MyWRizZo17N+/H51OR3x8PADp6enccccdFBQUMHfuXPLz84mLi2P+/PkAbNq06f+1d+dRTZ15H8C/LEPYRFkKVQRbassiEIgLtbSc0faI1gUpjrtVB2ReB6V2WrcyWlTUcanzanFDPdTidBF3rWMLo7VM1aqAKAUVQVlUaFBQlixCnvcP3qQJiyRK7r3A73OO55CbG/Ml3OfePPfZEBkZiUWLFlE/V45oD7KuKLoE654u6OHoTgOuCSGkE7p58zoWbTqEHo7uqCi6BBePwe2/iHSI5jMfNs0sRjMfks7vuVoiLl26hKFDh+Lbb7/V2Z6TkwNfX1+d7kcDBw5Edna25nn1TBpA0zzhPj4+yM7ORmNjI3Jzc3WeF4vFePLkSYsmcGJc6kFh1j1fpAFihBDSyWmf0wl3mm7K5WHV3stYtOkQtQSRLuO5WiKmTJnS6napVNpijm4HBwdUVFRonnd2dtZ53snJCRUVFaipqYFCodB53tzcHL169UJ5eTnEYvHzRCaEEEII4ZS6AkdIV2KUdSJkMplmJVE1CwsLzaqicrm8zeflcrnmcVuv19fTlvkW4rLknUFjgxIFBTdgZmYKmaxpER31yrDai+m0R0jLw1MW4ebQzkBZdAkhAyGEkO7LKJUIS0tLVFdX62xTKpWaL5sikahFhUChUMDOzk5TeWj+vPbr9fW01fm607LkHUl7AZ3mYyV2rZqh0w1NH0L6O1CWloSSA6AshBBCiJAYpRLh4uKCgoICnW2VlZWaLk4uLi6QSqUtnm8abGQPkUiEyspKvPzyywCAhoYGVFdXt+gi1Z6nLT2uXoqeGE7dLFvzoBQ9HN00TbSPH8tQVaXfzE1CWh6esgg3B2VpPwshpPNobFDi+vV8zXnklVde07sFnxChMUolwt/fH0lJSVAoFJrZlDIzMzV3qcViMTIzMzX7y2Qy5OfnIzY2FiYmJvDz88Ply5c1+1+5cgXm5ubw8vIyKMfTlh7n+wtAV/QsS70LaXl4yiLcHABlIYR0furW/G/O1dBsh6TTM0qn2qCgIPTu3RtLly5FQUEBkpKSkJubiwkTJgAAIiIikJWVhaSkJBQUFGDp0qVwc3PTLFQ3depU7NmzB+np6bh69Sri4+MxceJEmt5VwLTXlaC1JAghhJDW0WyHpKswSkuEqakptm3bhri4OERERKBfv35ITEzEiy82TSvn6uqKzz//HGvWrMG2bdsgkUiwdetWzevfffddlJWV4dNPP4VSqURoaCgWLlxojKikg2ivK0F3VwghhJCn014/4rXX9J+YhBCh6LBKRPM1HNzd3ZGSktLm/iEhIQgJCWnz+ejoaERHR3dUPMIBmsKOEPKs0tLSMH/+fJ1toaGh2Lx5M0pLS7Fs2TLk5OSgT58++OSTTxAcHKzZ79y5c1izZg3KysogFouRkJAANzc3rn8FQgyivvnWeDQH0WFieHo2ddmmCgXpLIzSEkG6N+27K3K5DIyZwMqqaeFBOjkSQlpz69YtDB8+HKtWrdJsE4lEYIwhJiYGXl5eOHjwINLT0zFv3jycPHkSvXv3xr179xATE4MPPvgAb731FhITExETE4Njx47x+NsQop+m2Q1Lsee7PGrJJ50OVSJIh9Pu2tR8Glg6ORJCWlNYWIhXX30Vjo6OOtvPnz+P0tJS7N+/H5aWloiOjsb58+dx8OBBzJs3D6mpqfDz88OsWbMAAGvXrkVwcDAuXryoGWdHiNBRSz7pjGi1ImIU6hOidc8XdX5WD77OyqLB14SQ3xUVFWmm9daWk5MDX19fWFpaarYNHDgQ2dnZmue116extLSEj48Prly5YvzQnUBdXR2yszM1rcOEENJRqCWCcEa7haK6ohAfz7iNvn1f1ky3S12dCOmeGGMoKipCRkYGtm/fDpVKhZEjRyI2NhZSqbTFGkEODg6oqKgAAEilUjg7O+s87+TkhPLycs7yC9nNm9exaNMh1D+qgIuHYYuBEu5pdwcG6LpIhI0qEYRT2gvV/fPrTPRwbFp0kLo6EdJ93bt3D3K5HCKRCJs3b0ZZWRkSEhIgl8shl8thYWGhs7+FhQWUSiUAtPu8vszMhNcwr870PNnMzEz/fypRkw5KRYyp+UyHny2cAImEu+tiRxxzxiTkfJ0hW0ejSgThDfUBJYQATdN+X758Gba2tgAALy8vqFQqLFy4EOHh4ZDJZDr7K5VKWFk1rdYtEolaVBiUSiXs7OwMyiDk1b+fJ5uQfy/SOvW1sbFBibKy25q/oY+PD2etEkI/boScT8jZOhpVIgghhPBOXYFQ8/DwgEKhgJOTEwoLC3Weq6ys1HRxcnFxgVQq1XleKpXC29vboPd//Fim6VopFGZmprCzs3qubI8fy9rfiQhS/aMK/PPrcvRwlHLWKtERx5wxCTlfZ8jW0agSQQSBpoUlpPvKyMjAxx9/jLNnz2oGUOfn58Pe3h6DBg1CcnIyFAoFRCIRACAzM1MzmFosFiMzM1Pzf8lkMuTn5yM2NtagDI2NKjQ0COvCr/Y82YT2ZYYYRrvFnstjVMjlARB2PiFn62hUiSCCQNPCEtJ9SSQSWFlZIS4uDvPmzUNJSQk2bNiAqKgoDBkyBL1798bSpUsxd+5cnDlzBrm5uVi3bh0AICIiAnv27EFSUhKGDRuGrVu3ws3NjaZ3JYQQI6NKBBEM7UHXPRzdNH1CqYWCkK7NxsYGu3fvxurVqxEREQEbGxtMmTIFkZGRAIBt27YhLi4OERER6NevHxITE/Hiiy8CaBpP8fnnn2PNmjXYtm0bJBIJtm7dyuevw7u6ujrcvNl03qSpXQkhxkKVCCJo1EJBSPfQv39/JCcnt/qcu7s7UlJS2nxtSEgIQkJCjBWt01FP69rD0R0VRZdoatcuoK0banQzjfCJKhFE8FproSCEENI27fMm6fxau6EGgG6mEV5RJYJ0Sm3dlaEuT4QQQrqi5jfUCOEbVSJIp9RWNyfq8kQIIaQ7oNWtCd+6VSVi1brPcK+yac5sxaO7gHUAz4nI82itmxMNyiaEENIdaN9Mq64oRHSYGJ6eXgDoGke40a0qEdW1T6BwfAMAUP/gEM9piLG11VrR/GTr4+MDe3s62RJCCOlctG+m7fkuDz0u1FIrPOFMt6pEkO6nrdYK9cm2uqIQ/xMegCFDJHj8WIZXXnmN7t4QQjodmtaVqK931M2JcIUqEaRb0q5c7Dr+K745V6PTQkHdnwghnQlN60rUqJsT4QpVIki311pz8NO6P6lPwtp3/rS3G5v2+1JlhxCiRtO6ErXWrmva1zK6VpCOQJUIQrTo0/1JfRK+ceN60/ZmFQ1jf7FvfsexvcoOIYSQ7qt5haLxaA5dK0iHoEoEIXpoq7XCxWOw3q0YbVUutFsWzMxM8frrLQfDNe/vbEhlh1orCOmaaBwEMVTT9Oc0CJt0DEFXIhQKBVasWIG0tDSIRCJERkZi9uzZfMci3VxbXQba+2LfVuWieYvGxzNuo2/fl9HYqNJ84de3v/Ozds0iwsJXV7nOrDteL2gcBHlWrQ3ClstlMDU1hYuLAyoqHqKxkcHKypLOP6RNgq5ErF+/Hnl5efjyyy9x9+5dLF68GH369EFoaCjf0QjRmz6VC+0WjX9+nYkejtIWFQ1D+zs/a2uF9oWEZqzih/aXQ7pTqJ/uer2gcRDkebS3cGtjwxO68UTaJNhKRH19PQ4cOIDdu3fD29sb3t7eiIqKwr59+7r8RYF0D/q0aDSvaHT0+7bWWvG0lgt9ukbRXfSOof47kfbR9YKQZ/e0hVup6xN5GsFWIq5fv46GhgYEBgZqtkkkEuzYsYPHVIRwy9h3Gdtb9Vv7AgJAr/Ee+gw412d8iHofW1tr2NlZoXfvfhCJrIzyOZDOrTtdL2gcBOFaW12fWjufa/9MN5C6PsFWIqRSKezt7WFu/ntEJycnKBQKVFVVwd7ensd0hHQf2nfE9Rnvoc+Ac33GhzTf53/CA/Dqq556XbwM/RmgFpPOrDtcL9SVh+ZlhMZBEK601/WprW5Qhp6P6VzceQi2EiGTyWBhYaGzTf1YqVTq9X+YmZnqPDYxMfn9ZwA1D0oAAPWPygEw+pmnn4WSg342/O9k3dMFrdEuW23to6aoe4j//fJ7WNtl4+H9G3jB3b/VfTZ9cQrWdll4eP8GLG3sYW3n3GE/1z/+DX+bNRJeXt5PzWpqagJbW0vU1sqhUrGn7vs8CgpuaD7DmgclMDMbAnNz3fNZ8/Nbd2aM6wXXHj2q1vx848YNmJub6xxveXl52PTFKcjrqnTKiL7XsfpHFU99/ln35fp1Qs7WFX+n5vu2dz5Xa35e1/d8DOCp52KuzsHPQqjZJJKBRju/CbYSIRKJWpz81Y+trPTr0mBnp7vf3u0JWo/CnisfIYQYy9tvhyAmhu8UnYcxrhdcs7f//c7rSy+5tnh+2LC3EBPzFy4jEULIUwn2VpaLiwuqqqqgUqk026RSKSwtLWFnZ8djMkIIIUJC1wtCCOGeYCsR3t7eMDc3R3Z2tmZbZmYm/Pz8eExFCCFEaOh6QQgh3BNsJcLKygrjx49HfHw8rl27hvT0dCQnJ2PmzJl8RyOEECIgdL0ghBDumTDGhDP6oxm5XI74+Hh8//33sLOzQ2RkJN5//32+YxFCCBEYul4QQgi3BF2JIIQQQgghhAiPYLszEUIIIYQQQoSJKhGEEEIIIYQQg1AlghBCCCGEEGIQqkQQQgghhBBCDEKVCEIIIYQQQohBunQlIjo6GkuXLuXt/dPS0uDl5aXz74MPPuAli1KpxMqVKxEUFIQ33ngDmzZt4iXHoUOHWnwmXl5e8Pb25jzL7du3MXv2bEgkEgwfPhx79+7lPIPagwcPEBsbi8GDB2PEiBE4fPgw5xmUSiXGjBmDixcvaraVlpZi1qxZCAwMxOjRo/Hzzz/zmgcAiouLIRaLec1x5coVTJ48GYGBgRg5ciRSU1N5y5KRkYFx48ZBLBYjLCwMP/30EydZOhOFQoFPPvkEgwcPxptvvonk5OQ2983Ly8Of/vQnBAQEYMKECfj1118Fk+3HH39EWFgYAgMDMW7cOJw+fVow2dTKysoQGBiIS5cuGTWboflu3ryJqVOnQiwWY+zYsfjll18Ek+3w4cMYMWIEAgMDMXXqVOTl5Rk1m1pb51htXJcHQ7JxXR4MyabGZXlQ0ydfh5UH1kWdOHGCeXp6siVLlvCWYdu2bWzu3LmssrJS86+mpoaXLCtWrGChoaHs6tWr7Ny5c+z1119n33zzDec55HK5zudx//59NmLECLZ27VrOs4waNYr97W9/Y8XFxSw9PZ0FBASwtLQ0znOoVCo2adIkNmnSJJafn89Onz7NhgwZwn744QfOMsjlchYTE8M8PT3ZxYsXNbnGjh3LFi5cyAoLC9nOnTtZQEAAu3fvHi95GGPs3r17LDQ0lHl5eRk9Q1s5fvvtNzZo0CC2adMmVlxczL777jvm7+/PfvzxR86z3Llzh4nFYvbFF1+w0tJSlpyczHx9fVlZWZlRs3Q2K1euZGFhYSwvL4+lpaUxiUTCTp061WK/uro6FhwczNatW8cKCwtZQkICCw4OZvX19bxny8/PZ76+viwlJYWVlJSwffv2sQEDBrD8/Hzes2mLjIxsUW75zldTU8OCg4PZsmXLWElJCduyZQsbNGgQe/DgAe/ZsrOz2YABA9iRI0dYSUkJW7lyJQsODmYymcxo2Rhr+xyrjY/yoG82PsqDvtm0cVkeGNMvX0eWhy7ZElFdXY3169fDz8+P1xyFhYV49dVX4ejoqPlna2vLeY5Hjx5h//79SEhIgJ+fH4YOHYrZs2fj6tWrnGcRiUQ6n8fRo0cBAB999BGnOR4+fIiioiLMnTsX7u7uePvtt/HWW2/h/PnznOYAgNzcXFy5cgUbN26El5cXhg0bhsjISOzZs4eT97916xYmTpyI0tJSne0XLlxAaWkpVq5cCQ8PD0RHRyMgIAAHDx7kJU96ejoiIiIgEomM+v765HB2dsaHH34Id3d3vPvuuwgLC8Px48c5z1JRUYFJkyZh5syZ6Nu3L2bNmgVra2tcu3bNaFk6m/r6ehw4cABxcXHw9vbGO++8g6ioKOzbt6/FvidPnoSVlRUWLVoEDw8PxMXFwcbGBqdOneI924kTJzB06FBMnz4dbm5umDZtGoKCgvDvf/+b92xqx44dQ319vVHyPE++I0eOwMbGBitWrICbmxvmz5+Pfv36ITc3l/dsly9fhqenJ8LCwuDm5oYPP/wQlZWVKCwsNEo2oO3zSXNclwdDsnFdHgzJpsZleQD0z9eR5aFLViLWrVuH8ePHo3///rzmKCoqwssvv8xrBgDIzMyEra0tBg0apNkWHR2N1atX85iqqbK3e/dufPTRR/jDH/7A6Xv37NkTbm5uOHjwIBoaGlBUVISsrCz4+PhwmgNo6jLk4OCAvn37arb1798fubm5aGxsNPr7X7p0CUOHDsW3336rsz0nJwe+vr6wtLTUbBs4cCCys7N5yXP27FksWLAAcXFxYByskdlWjpCQEKxdu7bF/rW1tZxnGTJkiKbL5pMnT5CamgqlUgl/f3+jZelsrl+/joaGBgQGBmq2SSSSVm+i5OTkYODAgTrbJBKJ0Y55Q7KFh4e3erOlrq6O92wAUFVVhY0bN2LlypVGyfM8+X755RcMHz4cJiYmmm0HDhxASEgI79n8/PxQWFiIrKwsqFQqHDp0CD169IC7u7tRsgFtn0+a47o8GJKN6/IA6J8N4L48APrn68jyYG7wKwTu/PnzyMrKwrFjx/Dpp5/qfEhcYoyhqKgIGRkZ2L59O1QqFUaOHInY2FjOvzCXlpbC1dUVR44cwY4dO9DQ0ID33nsPc+fO5e3zAYCvv/4GIMVsAAAJeElEQVQaLi4uGDFiBOfvbWZmhsTERMyYMQNffvklGhsb8d577yEiIoLzLE5OTnj8+DHkcrnmC3t5eTkaGhpQU1ODXr16GfX9p0yZ0up2qVSKF154QWebg4MDKioqeMmzatUqADB6X+b2cri6usLV1VXz+MGDB/juu+8QGxvLeRa14uJijBo1CiqVCh9//DH69OljtCydjVQqhb29PczNf7/cOTk5QaFQoKqqCvb29jr7vvbaazqvd3BwwK1bt3jP9sorr+i8tqCgABcuXGj32OAiGwD84x//QHh4OGc37wzJV1ZWBj8/PyxbtgxnzpyBq6srFi9eDIlEwnu2oKAgREdHY+rUqTAzM4OJiQl27dqFHj16GCUb0P75RI3r8gDon43r8gDonw3gvjwA+ufryPLQpVoiFAoF4uPjsXz5cohEIl6/IN+7dw9yuRwikQibN2/G4sWLcfz4caxfv57zLHV1dSguLsb+/fuxbt06LF68GCkpKfjiiy84z6LGGENqaiqmT5/Oy/vLZDIsWLAAQ4cOxf79+7F27VqcOnXKqF1S2hIQEABnZ2ckJCRALpfjzp072Lt3L0xMTPDkyRPO86jJZDJYWFjobLOwsIBSqeQpkfDI5XLMnz8fzs7OmDx5Mm85HB0dcejQISxfvhxbtmzBDz/8wFsWoWnrOAbQ4liWy+WcHvOGZNP28OFDzJ8/HxKJBO+88w7v2c6dO4fs7GzExMQYJcvz5qutrcWuXbvg4uKC3bt3Y/DgwYiMjER5eTnv2c6dO4ekpCQsX74cqampGD9+PJYsWYKHDx8aJZshuC4Pz4qL8mAIPsqDITqyPHSplojExET4+voiODgYQNMXVb4qEq6urrh8+bJmDISXlxdUKhUWLlyITz75hNNc5ubmqK2txWeffYbevXsDaKrkfPXVV5g9ezZnObRdu3YNv/32G0aPHs3L+6enp+Phw4fYsGEDLCwsMGDAAFRUVGD79u0YO3Ysp1ksLCywefNmLFiwABKJBI6Ojvjzn/+MdevWwcbGhtMs2iwtLVFdXa2zTalU6nRv6s7q6urw17/+FSUlJfjqq684G6vRGltbW81MZ4WFhUhJSeGlhU+IRCJRiy896sdWVlYt9lUoFC32NdYxb0g2tcrKSs15e8uWLUbJZUg2uVyO5cuXIz4+HhYWFpquhsbucmjIZ2dmZgYfHx/MmzcPQNP1+Oeff8bRo0fxl7/8hddsu3fvRnh4OKZOnQqgqcV11KhROHjwIObMmdPh2QzBdXl4FlyVB33xVR4M0ZHloUtVIk6ePInKykpNP0T1Xdzvv/8eWVlZnOdpPojaw8MDCoUC1dXVLZqCjemFF16ASCTSVCAA4KWXXjLaXRh9ZGRkYPDgwUZtsn2a+/fv46WXXtK5y+Lt7Y0dO3bwksfPzw//+c9/8ODBA9jb2+PMmTPo2bMnrK2teckDAC4uLigoKNDZVllZCWdnZ54SCUdtbS2ioqJQVlaGvXv3GrX/8tMUFBTg0aNHOuOdPDw89Jp6sLtwcXFBVVUVVCoVTE2bGt+lUiksLS1hZ2fXYt/KykqdbcY85g3JBjQNpH///fdhamqKlJQUo15H9M129epVlJWVYf78+TqvnzNnDsLDwxEfH89rPgBwdnaGh4eHzjZjXgMNyVZeXo7Q0FDNYxMTE3h5eeH+/ftGyWYIrsuDobgsD/riqzwYoiPLQ5fqzpSSkoITJ07g2LFjOHr0KIYPH47hw4drZgDiUkZGBoKCgiCXyzXb8vPzYW9vz/mBLhaLoVAocOfOHc22oqIinYG8XLt69arR+qPqo1+/figuLtbpLlRUVAQ3NzfOs1RXV2PatGmorq6Go6MjTE1N8dNPP2HIkCGcZ9Hm7++PvLw8nTtRmZmZCAgI4DEV/1QqFebNm4e7d+8iJSWlRd9cLp05cwbLli3T2fbrr7/ymklovL29YW5urjMYNDMzs9XZ+8Risc4NJ8YYsrKyjHbMG5Ktvr4eUVFRMDc3x759+1qMV+Irm1gsRlpaGo4dO6a59gLA6tWrjTpOyJDPLiAgAPn5+TrbCgsLdcY28ZXN3d29xc0avq/PalyXB0NwXR70xVd5MERHlocuVYno06cP3Nzc4ObmBnd3d1hbW8PGxoaXL4YSiQRWVlaIi4vD7du3cfbsWWzYsAFRUVGcZ/Hw8MAf//hHLFmyBNevX0dGRgZ27dpl1AFI7SkoKOD1i86wYcNga2uLv//977hz5w5Onz6NnTt3YsaMGZxn6dWrF2pra7FhwwaUlpZi//79OHz4MC/HiragoCD07t0bS5cuRUFBAZKSkpCbm4sJEybwmotvBw4cwMWLF5GQkABbW1tIpVJIpdIWXb+4EBYWBqlUio0bN+LOnTv417/+hePHjxuli0ZnZWVlhfHjxyM+Ph7Xrl1Deno6kpOTMXPmTABNd4jVFeXQ0FDU1NRg9erVuHXrFlavXg25XI5Ro0bxnm3nzp0oLS3F2rVroVKpNMedsWYF0zebSCTSXHfV116g6S62g4ODUbIZkg8AJk+ejBs3biAxMRHFxcXYvHkz7t69i3HjxvGebfr06UhNTcXRo0dRXFyMjRs3ory8HOPHjzdKtvbwWR4MycZ1edA3G1/lQd98QAeXh2dbzqJzWLJkCa+LzRUUFLBZs2axwMBA9uabb7KtW7fylqWmpoYtWrSIBQYGsjfeeIPXLIwx5u/vz/773//ymqGkpITNmTOHDRw4kI0YMYLt3buXtyxFRUVs+vTpLCAggI0ZM4adPn2alxzNF6gpLi5m06dPZ35+fmzMmDHs3LlzvOZhjLELFy5wtthcazkiIyOZl5cX8/T01Pk3Y8YMzrMwxtiVK1fYxIkTmVgsZqNHj+bt2BEymUzGFi9ezAICAlhISIhOWff09GSHDx/WPM7JyWHh4eHM39+fTZw40eiLV+mbbeTIka0ed8a8xhnyuWnjanEtQ/JlZmay8PBw5ufnx8LDw9mlS5cEk+3EiRNs9OjRLDAwkE2bNo3l5eUZNZu25n8rvsuDvtn4KA/6ZmtvXy60l6+jyoMJYwIa7UEIIYQQQggRvC7VnYkQQgghhBBifFSJIIQQQgghhBiEKhGEEEIIIYQQg1AlghBCCCGEEGIQqkQQQgghhBBCDEKVCEIIIYQQQohBqBJBCCGEEEIIMQhVIgghhBBCCCEGoUoEIYQQQgghxCBUiSCEEEIIIYQYhCoRhBBCCCGEEIP8H6nxn30DJhB0AAAAAElFTkSuQmCC",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x000000001C75D208>)"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h3>Solve Retirement Problem</h3>\n",
"<a id=\"solveVF\"></a>\n",
"<a href=#index>Back to index</a>\n",
"\n",
"The Retirement problem in both Guvenen (2007) and Guvenen & Smith (2014) is given by\n",
"\n",
"$$\n",
"V_t^i(w_t^i, Y) = \\max_{c_t^i, a_{t+1}^i} \\left[ u(c_t^i) + \\delta V_{t+1}(w_{t+1}^i, Y) \\right]\n",
"$$\n",
"\n",
"subject to $$Y^i = \\Upsilon(Y_R^i, \\bar{Y}),$$ $$c_t + a_{t+1} = w_t,$$ $$V_{T+1} = 0,$$ and $$w_t = (1+r)a_t + y_t$$\n",
"\n",
"To solve this, we need grids for both income and cash-on-hand. For the wealth grid, we can use the original grid from Guvenen's code, for the income grid we'll construct a very similar one with an upper bound of 1000:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can directly solve the consumer's problem given a level of retirement wealth and pension income, given that there is no uncertainty after retirement. To do so, we will draw on [a set of notes](http://www.econ2.jhu.edu/people/ccarroll/public/LectureNotes/Consumption/PerfForesightCRRA/) by Chris Carroll.\n",
"\n",
"Solving \n",
"\n",
"$$\n",
"\\max_{\\{c_{t+n}\\}_{n=0}^{T-1}} \\left\\{ \\beta^n \\frac{c_{t+n}^{1-\\sigma}}{1-\\sigma} \\right\\}\n",
"$$\n",
"subject to \n",
"$$\n",
"x_{t+1} = R(x_t - c_t) + \\bar{y}\n",
"$$\n",
"\n",
"can be done exactly by calculating the optimal consumption growth rate from the Euler equation and then using the intertemporal budget constraint. The Euler equation is given by:\n",
"\n",
"\\begin{align}\n",
"u'(c_t) &= \\beta R u'(c_{t+1}) \\\\\n",
"c_t^{-\\sigma} &= \\beta R c_{t+1}^{-\\sigma} \\\\\n",
"\\frac{c_{t+1}}{c_t} &= [\\beta R]^{\\frac{1}{\\sigma}} \n",
"\\end{align}\n",
"\n",
"In other words, consumption grows at the rate $(\\beta (1+r))^{\\frac{1}{\\sigma}}$. With Guvenen's original calibration, $\\beta=0.966$, $r = \\frac{1}{0.96}$, and $\\sigma=2$, this would give 1.003, so agent's are patient and would aim for very modest consumption growth in retirement. In the 2004 working paper version, $(1+r)\\beta=1$, so the consumption profile would be fully flat. \n",
"\n",
"The intertemporal budget constraint implies that the present discounted value of consumption has to be equal to the present discounted value of labor income plus wealth carried over from working life. Computing the present value of lifetime resources:\n",
"\\begin{align}\n",
"PDV(x) &= a_t + \\sum_{n=0}^{T-t} R^{-n} \\bar{y} \\\\\n",
" &= a_t + \\bar{y} \\sum_{n=0}^{T-t} R^{-n} \\\\\n",
" &= a_t + \\bar{y} \\left[ \\frac{1 - \\left(\\frac{1}{R}\\right)^{T-t+1}}{1- \\left(\\frac{1}{R}\\right)} \\right]\n",
"\\end{align}\n",
"This has to be equal to the present discounted value of consumption:\n",
"$$\n",
"PDV(c) = \\sum_{n=0}^{T-t} R^{-n} c_{t+n}\n",
"$$\n",
"From the Euler equation, we know that $c_{t+1} = c_t [\\beta R]^{\\frac{1}{\\sigma}}$, and hence $c_{t+2} = c_t \\big([\\beta R]^{\\frac{1}{\\sigma}} \\big)^2$ and by iterating $c_{t+n} = c_t \\big( [\\beta R]^{\\frac{1}{\\sigma}} \\big)^n$. Hence, we can substitute in the sum:\n",
"\\begin{align}\n",
"PDV(c) &= \\sum_{n=0}^{T-t} R^{-n} [\\beta R]^{\\frac{1}{\\sigma}} c_t \\\\\n",
" &= c_t \\sum_{n=0}^{T-t} R^{-n} ([\\beta R]^{\\frac{1}{\\sigma}})^n \\\\\n",
" &= c_t \\left[ \\frac{1- [R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}]^{T-t+1}}{1 - R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}}] \\right]\n",
"\\end{align}\n",
"\n",
"Bringin the two equations together then gives:\n",
"\n",
"$$\n",
"c_t = \\frac{1 - R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}}{1- [R^{-1}(R \\beta)^{\\frac{1}{\\sigma}}]^{T-t+1}} \\left[ a_t + \\bar{y}\n",
"\\frac{1 - \\left(\\frac{1}{R}\\right)^{T-t+1}}{1- \\left(\\frac{1}{R}\\right)} \\right]\n",
"$$\n",
"\n",
"\n",
"For the solution of our model, we are only interested in $V^R_1(x, Y)$, that is the value of entering retirement with a certain level of cash-on-hand and a certain pension level. Given that the retirement problem is deterministic, this can simply be done by finding optimal consumption in the first period via the consumption function, calculating consumption in the following periods from the Euler equation and then summing the discounted flow of utility from this consumption stream.\n",
"\n",
"We first create a 150-point wealth grid for retirement, by importing the original retirement grid from Guvenen's code and adding some points, and a 140-point pension grid, linearly spaced between the lowest belief and 1000 (taken from Guvenen's paper)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"wpoints_R = 150\n",
"ypoints_R = 140\n",
"\n",
"guvgrid_R_org = readdlm(\"C:\\\\Users\\\\tew207\\\\Dropbox\\\\QMUL\\\\PhD\\\\Code\\\\Julia\\\\Guvenen\\\\wealthR.dat\")'\n",
"guvgrid_R = reshape(guvgrid_R_org, 1, 7200)\n",
"guvgrid_R = unique(reshape(guvgrid_R_org, 12, 600), 2)\n",
"wgrid_R = Array(Float64, (wpoints_R, 30)); wgridexp = similar(wgrid_R)\n",
"\n",
"for t = 1:30\n",
" wdistexp = sqrt(guvgrid_R[end, t] - guvgrid_R[1, t])\n",
" winc = wdistexp/(wpoints_R-1)\n",
" for i = 1:wpoints_R\n",
" wgridexp[i,t] = (i-1)*winc\n",
" end\n",
" wgrid_R[:, t] = wgridexp[:, t].^2 + guvgrid_R[1,t]\n",
"end\n",
"\n",
"ygrid_R = linspace(4.0, 15.0, ypoints_R);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, define a function that calculates consumption in the first period of retirement:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function get_c_1(R::Float64, \u03b2::Float64, a::Float64, y::Float64, \u03c3::Float64, T::Int64)\n",
" margprop = (1 - (1/R)*((R*\u03b2)^(1/\u03c3)))/(1 - ((1/R)*(R*\u03b2)^(1/\u03c3))^T)\n",
" pdvr = y*((1-(1/R)^T)/(1-(1/R))) + a\n",
" c_1 = margprop * pdvr\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, solve the retirement problem for each wealth/pension combination available in the first period of retirement:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function solveRetirement(wgrid_R::Array, ygrid_R::Array, r::Float64, \u03b4::Float64, \u03c3::Float64, tR::Int64)\n",
"\n",
" function simulate(x::Float64, y::Float64, \u03b4::Float64, \u03c3::Float64, R::Float64, tR::Int64)\n",
" \n",
" c_t = Array(Float64, tR); x_t = similar(c_t); sum_u = 0.0\n",
"\n",
" c_t[1] = get_c_1(R, \u03b4, x, y, \u03c3, tR)[1]\n",
" x_t[1] = x + y\n",
"\n",
" for t = 1:tR-1\n",
" c_t[t+1] = (R*\u03b4)^(1/\u03c3)*c_t[t]\n",
" x_t[t+1] = (x_t[t] - c_t[t])*r + y\n",
" sum_u += (\u03b4^t)*(c_t[t]^(1-\u03c3)/(1-\u03c3))\n",
" end\n",
" sum_u += (\u03b4^tR)*(c_t[tR]^(1-\u03c3)/(1-\u03c3))\n",
"\n",
" return x_t, sum_u\n",
" end\n",
"\n",
" wp_R = Array(Float64, (size(wgrid_R,1), size(ygrid_R,1), size(wgrid_R,2)))\n",
" v_R = Array(Float64, (size(wgrid_R,1), size(ygrid_R,1), 1))\n",
"\n",
" for w = 1:size(wgrid_R,1), y = 1:size(ygrid_R,1)\n",
" xt = wgrid_R[w]\n",
" yt = ygrid_R[y]\n",
"\n",
" (wp_R[w, y, :], v_R[w, y]) =\n",
" simulate(xt, yt, \u03b4, \u03c3, R, tR)\n",
" end\n",
" \n",
" return v_R, wp_R\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we need to define interest rate, discount factor and risk aversion, plus a utility function (all taken from Guvenen's paper) to then solve the retirement problem for the first period retirement value function:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"R = 1/0.96; \u03b4 = 0.966; \u03c3 = 2.0; u(c::Float64, \u03c3=\u03c3) = (c^(1-\u03c3))/(1-\u03c3)\n",
"\n",
"(v_R, wp_R) = solveRetirement(wgrid_R, ygrid_R, R, \u03b4, \u03c3, 30);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"transition\"></a>\n",
"<h2>Transition problem</h2>\n",
"<a href=\"#index\">Back to index</a>\n",
"\n",
"In the last period before retirement, agents solve a transition problem. The idea here is to infer one's pension from the belief on $\\alpha$ and $\\beta$, setting $z$ to zero (as it is a mean zero process).\n",
"\n",
"The problem being solved is:\n",
"\n",
"$$\n",
"V_T(a_t, \\hat{\\alpha}, \\hat{\\beta}, \\hat{z}) = \\max_{w_{t+1}} \\Big\\{ u(a_t - w_{t+1}) + \\beta \n",
" V_R(R w_{t+1} + pension, pension) \\Big\\}\n",
"$$\n",
"\n",
"The pension is calculated by first predicting lifetime income from last period income using the regression coefficients obtained earlier, and then calculating the pension based on this estimate using the function above."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function solveTransition(v_R::Array{Float64, 3}, wgrid_R::Array, ygrid_R::Array, wgrid::Array{Float64, 2}, agrid::Array,\n",
" bgrid::Array, yit::Array, k_0::Float64, k_1::Float64, avgy::Float64, R::Float64, \u03b4::Float64)\n",
"\n",
" tW = size(wgrid,2)\n",
" wp = Array(Float64, (size(wgrid,1), size(agrid,1), size(bgrid,1), size(zgrid,1), tW))\n",
" v = similar(wp); c_over_x = similar(wp)\n",
"\n",
" # INTERPOLATION\n",
" xy = Array{Float64, 1}[]\n",
" push!(xy, wgrid_R[:, 1])\n",
" push!(xy, ygrid_R)\n",
" v_int = Lininterp(v_R[:, :, 1], xy)\n",
"\n",
" # MAXIMIZATION\n",
" wmin = wgrid_R[1, 1]\n",
" for a = 1:size(agrid,1), b = 1:size(bgrid,1), z = 1:size(zgrid,1)\n",
" size(agrid,2)==1 ? at = agrid[a] : at = agrid[a,end]\n",
" size(bgrid,2)==1 ? bt = bgrid[b] : bt = bgrid[b,end]\n",
" zt = 0\n",
"\n",
" yt = exp(at + bt*tW + zt)\n",
" pension = get_pension(yt, k_0, k_1, avgy)\n",
"\n",
" for w = 1:size(wgrid,1)\n",
" xt = wgrid[w, tW] + yt\n",
"\n",
" Blmn(w\u2032) = -( u(xt-w\u2032) + \u03b4*(getValue(v_int, [R*w\u2032 + pension, pension])[1]) )\n",
"\n",
" optimum = optimize(Blmn, wmin/R, xt)\n",
"\n",
" v[w, a, b, z, tW] = -(optimum.f_minimum)\n",
" wp[w, a, b, z, tW] = optimum.minimum\n",
"\n",
" c = xt - wp[w, a, b, z, tW]\n",
" c_over_x[w, a, b, z, tW] = c/(xt - wmin/R)\n",
" end\n",
" end\n",
"\n",
" return v, wp, c_over_x\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To solve the problem, we need to define the grids for beliefs (we'll take the grids coming out of agent's learning, which we're not modelling here), and a wealth grid in the last period before retirement, which is again taken from Guvenen's paper and filled with some extra points:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"agrid = linspace(1.92, 2.08, 3); bgrid = linspace(-0.08, 0.09, 12); zgrid = linspace(-0.8, 0.8, 11)\n",
"\n",
"wpoints = 25; tW = 40\n",
"wgrid_org = readdlm(\"C:/Users/tew207/Dropbox/QMUL/PhD/Code/Guvenen FORTRAN code/wealth.dat\")'\n",
"wgrid = Array(Float64, (wpoints, tW)); wgridexp = similar(wgrid)\n",
"\n",
"for t = tW:-1:1\n",
" wdistexp = sqrt(wgrid_org[end, t] - wgrid_org[1, t])\n",
" winc = wdistexp/(wpoints-1)\n",
" for i = 1: wpoints\n",
" wgridexp[i, t] = (i-1)*winc\n",
" end\n",
" wgrid[:, t] = wgridexp[:, t].^2 + wgrid_org[1, t]\n",
"end\n",
"\n",
"(v, wp, c_over_x) = solveTransition(v_R, wgrid_R, ygrid_R, wgrid, agrid, bgrid, yit, k_0, k_1, avgy, R, \u03b4);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plotting the resulting consumption functions for a number of belief combinations (obviously changing $z$ is unnecessary here). Note that higher beliefs here imply both more cash-on-hand (the x-axis here is assets, net of final period income) and a higher pension (as the pension is calculated based on beliefs)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot2Dconfunc(c_over_x, 40, wgrid, \"\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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vyczMLHNZvqp++umnMqMnfPfdd2i1WmN/0pu7JdxOx44dOX78eLkz2DExMXh7e9+xz2FFdOzYkYSEhHLj0MbExGBvb1+mX+4TTzzBjz/+yJdffmnsF1uqQ4cO/PHHHwQHBxMaGkpoaCjNmzdn/fr17N2716SYjh8/jl6vJyIiwpi86nS6Mj84Tp8+TefOnYmNjQUMIzBMmDCBZs2ace3aNYqLi+nbty/R0dEA+Pr6MmzYMPr162f8HMPDw0lMTKR27drGmENDQzl48CAfffSRMRG99fu51zZlirttGy4uLjRv3pyLFy+Wia9JkyasXLnS2NWmIjp27IhWq+Wrr74qs7z0ZquwsDAaNmxI3bp1y63zww8/3LXsiIgItm/fXubfU089BcD27duNN7Z17dqVCxculNm3/vjjDy5evEjXrl0rXBchROXIGVghKqF169a89tprLFu2jIsXLzJw4EA8PDw4f/48H330EUVFRSxbtgyApk2bMmjQIN577z0KCgpo3749v/32GytWrKBTp07Gm3bg7v3qwNBf8YMPPsDb25s2bdqQlJREdHQ0HTt2xMPDA1dXV+rWrcvKlSuNyeyHH36Is7PzPcuuyPsDJCUl8corr/Dcc89x/fp1li5dSvfu3enQoQOA8eafXbt20bp16zJ9egFGjhzJF198wfPPP09ERATu7u7s3LmTQ4cOMX/+/Hu+/90MHjyYTz/9lLFjxxpHIfj+++/ZsWMHERERZc5C9+vXj/nz5/Pll1+WGyR/7NixDB06lNGjR/P0009jb2/P5s2b+e6773j//fdNiqn0bNzbb7/N4MGDyczMZOPGjSQlJaHX68nLyyM4OBh3d3emTJnCuHHj8PT05MCBA8TFxfH8889jZ2dHWFgYK1aswM7OjsDAQC5dusTOnTvp27evse4bNmxg5MiRjBkzBl9fXw4cOMDatWsZPny4sV+mm5sbZ8+e5fDhw7Rq1eqe2xTAuXPnKCkpuWd/33ttGxMnTuTll19m8uTJ9O/fH51Ox7p164iNjeWVV16552dZun0+/PDDhIeHM3PmTJKSkggKCuLw4cOsXbuWQYMGGfsNT548mUmTJjFr1iz69u3LiRMn7nkDl7+/f5kfM/B3t4Obu2f069ePDz/8kFGjRjFp0iT0ej1RUVEEBQWV65srhKh+ksAKUUljxoyhefPmbNy4kcjISDIzM6lbty49e/ZkzJgxZfoDzps3jwYNGrB9+3ZWr16Nr68vI0aM4NVXXzWuo1Ao7nkGduzYsahUKnbs2MHKlStxdXWlZ8+eTJ48GTDcPPLee+8RGRnJxIkT8fLy4vnnn+fChQsVGtrn1ve/XUyPPvooGo2G119/HWdnZwYPHszrr79ufL5v377ExMQwbdo0hgwZwltvvVXm9V5eXmzatMk4ZmhxcTHBwcGsWrWq3A03t4vvbp+Ro6Mjn3zyCVFRUSxfvpycnByaNGlCZGQkgwcPLrOuRqOhW7duHDhwoNyNPUFBQWzcuJGlS5cyZcoU9Ho9gYGB/Oc//ykT472+LzCcLXzzzTeJjo7mq6++ws/PjyFDhvDvf/+bp556iiNHjtC9e3fWrFlDVFQU8+bNIysri4YNGzJnzhwGDhwIwFtvvYWHhwfr1q0jJSUFLy8v/u///s/42Ts5ObFx40aioqJYtGgR2dnZBAQEMHny5DJdIV588UUiIyMZNWoU0dHR99ymAKZOnUpWVla5sXpvda9to0uXLqxdu5aVK1fy2muvYWdnR4sWLYiOji5zdvxOn+vNyz/88EOWL1/Oxx9/TFpaGvXq1WPSpEll+jI/9thjKBQKVq1axRdffEFgYCBz58697fjNd3O77c7e3p7o6GjmzZvHrFmzsLOzo2vXrkyfPv2eVyGEEFWn0FfklIsQQmC4q7x9+/YsXLjQ3KGIBygnJ4chQ4aUuxx/M9k2hBAPkvxMFEIIcVcffPDBHcdkFUIIc5AuBEIIIe7q8ccfJzAw0NxhCCGEkXQhEEIIIYQQVkW6EAghhBBCCKsiCawQQgghhLAqksAKIYQQQgirIgmsEEIIIYSwKpLACiGEEEIIqyIJrBBCCCGEsCqSwAohhBBCCKsiCawQQgghhLAqksAKIYQQQgirIlPJimq1f/9+zpw5g16v5/fff2fy5MnUrVu3Wso+ceIEUVFRnD59GmdnZ7p168aUKVOoXbt2tZRvKzEJIQSAXq9n06ZNfPrpp8THx+Pp6ckjjzzCuHHjqFWrVpXKrmltvbA8MpWsqDZ79+5Fo9HQrl07ADZu3MiRI0dYunRplcs+ffo0zzzzDF26dGH48OEkJSURFRVFQEAAmzZtqnL5thKTEEKUWr16NcuXL+ell16iU6dOXLp0ieXLlxMaGsq6desqXW5Na+uFZZIzsKJaXLlyBWdnZ2ODBhAfH4+zs3O1lL9o0SJCQ0NZtWqVcVmtWrWIjIwkISEBf3//ankfa49JCCEASkpKWLNmDUOHDuX1118HoHPnznh4eDBx4kROnz5NixYtTC63Jrb1wjJJAiuqxeHDh3nyySeNf6elpfHNN9+wZs2aKpednp7Or7/+yoIFC8os7927N7179zaprEOHDjFixIjbPtehQwfeffddHnnkkTu+vmPHjqxfv75aYxJCiOqWm5vLwIED6devX5nljRs3BuDq1auVSmCtpa0Xtk8SWFFlOTk5uLu7AzBr1ix0Oh0//PADb731Fk2aNKly+efOnaOkpASNRsOkSZP44Ycf0Ov19OnTh5kzZ+Lq6lrhskJDQ9myZUuZZf/v//0/PvnkE5566im8vb3LPX8zFxeXao9JCFGz5Obmsnr1auzs7CgqKiIjI4OZM2dib29Pfn4+Tk5OVX4PV1dXZsyYUW753r17AWjWrJnJZVpTWy9sn4xCIKrsyJEjhIWFAVC7dm3c3d0JCgpi7dq11VJ+WloaAG+88QbOzs785z//YerUqfzwww+MHj3apLJq1apFq1atjP/0ej2bN29m5MiR9O/fH3t7+zLP3/qvtJGuzpiEEDVHTk4Ow4cPp2XLlkRERDBx4kQAY//R6OhodDrdfXnvkydPsnr1anr27EnTpk1Nfr01tfXC9skZWFFl6enpeHp6Ahj7Wp07d44nnniCtLQ0452jJSUljBs3jsLCwnuW6erqamzQi4uLAWjRogVz584FoFOnTri5uTFx4kT2799Ply5dTI47MTGRsWPH0q5dO6ZMmWJcrtVq7/gahUKBSqW6bzEJIWxbZGQkAQEB9OrVy7gsPDycyMhIpkyZgl6vR6VSGZ+rbLt5q6NHjzJmzBjq16/P/PnzKxW7tbb1wjZJAiuq7ObGtlReXh5AmTMJSqWSlStXmlx+6WX7Hj16lFnetWtXAH777TeTG7X8/HxeffVVHB0dWbZsGQqFAjDcjHDzgeVWpX1g70dMQgjblpycTExMTJkblAA0Gg03btxg27Zt9O3bt8xzlW03b/bll18ybdo0GjduzNq1a43dAExljW29sF2SwIoqKSoqQqks3xPl9OnT+Pn54e3tXeX3aNiwofG9blZ6ptTR0dGk8vR6PdOmTePSpUt89tlnZRpzHx8ftm/ffsfXljaw1R2TEML2nTp1Cp1OR4cOHcosL00Mr1+/zpAhQ6r1PT/66CMWL15MeHg4K1asqPT4r9bY1gvbJgmsqJLY2NhyjY1er2fr1q2MHDmyzPLKXlZq2rQp/v7+7Nq1i2HDhhnX+e677wBo3769STGvWLGCb775hiVLlhAcHFzmOTs7O0JDQ+9ZRnXHJISwfSUlJbi5uZVLxEoT2NuNkFKVLgSbNm1i0aJFPPbYYyxYsAC1uvKHfGts64VtkwRWVEl8fDxnz55lwIABxsbxvffeo169egwfPrzMulW5FDZlyhQmTJjA66+/zpAhQ/jjjz9YtmwZffv2NSahCQkJpKSk0Lx5c+zt7W9bzrfffsvKlSt57LHHaNSoESdPnuTmuTzatGlTrTEJIUSpDh06oNfry/QXvXbtGnv27EGhUKDT6Th37hxBQUHG11S23UxJSWH+/Pn4+/vzzDPPcPr06TLP169f3xhDRdpOS2rrhQCZiUtU0fbt2+ncuTPr16/HycmJnJwcfHx8eOGFF257uakq/ve//7Fy5UrOnTuHh4cH/fv3Z8KECdjZ2QEwb948PvnkE77//nv8/PxuW8b06dPZuXMnt9vsFQoFv/32W7XGJIQQNzt48CDbtm0zjmji5eXF4MGDeffdd8nPz6dLly7lxm6tjG3btjFz5kwUCkW59k6hUDB//nwGDhwIVKzttKS2XggwMYEtLCxkzpw57NmzBwcHB1588cVylw5Kff7556xatYqUlBRCQkKYOXMmzZs3r7bAhWXYvHkz//rXv8wdhtHgwYNZs2aN8U5ZISyNtKPCEt2r7bS0tl4Ik342LVy4kLNnz7J+/Xpmz55t7Et4qxMnTjBr1izGjh1LTEwMISEhvPzyyxQUFFRb4ML8Lly4QEBAgLnDMNq3bx9KpVKSV2HRpB0VluZebaeltfVCgAkJbF5eHtu2bWPGjBmEhITQq1cvXnrpJTZs2FBu3SNHjhAUFMQTTzxBvXr1eP3110lNTeXChQvVGrwwr+PHj9OyZUtzh2HUuHFjPv74Y3OHIcQdSTsqLNG92k5La+uFABMS2Li4OLRaLW3btjUuCwsL49SpU+XWbdmyJRcuXODYsWOUlJSwY8cOXF1dqV+/fvVELSxCZmYmbm5u5g7DqF69epUeIkaIB0HaUWGJ7tV2WlpbLwSYMApBSkoKGo2mzDAcXl5eFBYWkp6ejkajMS4PDw/n5Zdf5plnnkGlUqFQKFizZo3MY2xjXnzxRXOHIIRVkXZUWCNp64UlqvAZ2Pz8/HLDa5T+fevYcAcOHGD16tW8+eabbN26lYEDBzJt2jTjPMdCCFETSTsqhBDVo8IJrIODQ7kGtvRvJyenMsvXrl3LoEGDeOaZZ2jevDlz587FycnprjMc3UpG9xJC2BppR4UQonpUuAuBj48P6enplJSUGMd8S0lJwdHRsVzfmMTExDLzOSsUCoKDg7l+/XqFA1MoFGRl5aPTlVT4NdZCpVLi5uZks/UD26+j1M/6ldbxQZJ2tPrUpG3UVuso9bN+5mhHS1U4gQ0JCUGtVnP8+HHatWsHwNGjR297Z2L9+vU5f/58mWUXL16kVatWJgWn05Wg1drmlw62Xz+w/TpK/YQppB2tfrZeP7D9Okr9RGVUuAuBk5MTAwcOZPbs2cTGxrJ3716io6ONczenpKQY5z1+9tln2bp1K1988QWXL19m8eLFJCYmGmf9EEKImkjaUSGEqB6q2bNnz67oyp07d+bs2bMsXryYQ4cO8corrzBo0CAA2rVrR8OGDQkODqZ+/frUr1+fDz/8kLVr16LT6ViyZInJw78UFBRTUmJ7fbiUSgVOTvY2Wz+w/TpK/axfaR0fNGlHq0dN2kZttY5SP+tnrnYUTJxK9kFLT8+1ydPuarUSjcbFZusHtl9HqZ/1K62jrbPV77AmbaO2Wkepn/UzZztq0lSyD9KGr38zdwhCCCGEEMICWWwCu3nP76RlyZzfQgghhBCiLItNYAEuJ2WbOwQhhBBCCGFhLDqBvZIoCawQQgghhCjLshPY5BxzhyCEEEIIISyMZSewcgZWCCGEEELcwqIT2KT0fPILteYOQwghhBBCWBCLTmAB4lOkG4EQQgghhPibxSewV5IkgRVCCCGEEH+z2ATWp7YzAFeTpR+sEOJveXl5zJw5haSkRHOHIoQQwkwsNoFt4G9IYOUMrBCi1O7dMWzatIF9+37AcifBthwX/rhk7hCEKEd+hIrqoDZ3AHdyyWU3KDoQn5KLrqQEldJic20hHoi8Ai3X03IfyHupVUpcswqpZa/CXm05+95jjw0AIDp6jZkjsQ6bVh6jx+CGNAsONHco4hYV2Z9L98Ps7AK0upIqvV/d2i44O5r/kL97dwxJSYns2/cDEyZMMnc4woqZf2u+g5ySdBROOWjz3Ei8kYe/dy0KJApSAAAgAElEQVRzhySE2eQVaJmy6gB5D3hUDmdHNQvHPGTSgU+v17N16yYA1Go1V69eISJiAjqdjpycbGrX9gQgKyuLzz77BP1dTqU6ODgwcuSoqlWiBtMp7Tnx4zFJYC2MOfZnZwc1C18xbV++H+RHqKguJm3JhYWFzJkzhz179uDg4MCLL77IyJEjy603fPhwfv3113LLBw8eTGRkZIXfT+mSiS7PjSvJOZLACmEloqIWEBAQwNChzwLw7rtz2b07BldXV9q0CTOu5+bmxujRY80Vptk86Ha0IK2oSvEKsWbNKmJiPicq6j00mtqkpaURFBQsP0KFWZmUwC5cuJCzZ8+yfv16EhISmDp1Kn5+fvTt27fMeitWrECr/fuX5YkTJ5gwYQLDhg0zKTh7t2zyU+BqUg6dQ016qRA2xdnRcPbkgXYhcHU0uQtBXNxv/PTTD+zY8aVxmb9/Pc6ciaVZs0A0mtr3I1yr8qDbUZ3WuVriFtWnovtz6X5ozi4ECQnxBAWFsGnTcL7/fi+BgcEEBQUDNfdHqLAMFd6a8/Ly2LZtG2vXriUkJISQkBBeeuklNmzYUK7hdXd3Nz7W6XQsWbKEUaNGERpqWhZq75ZNPjISgRBgOOg18XO/94rVQK1WotG4kJ6ei1Zb8QPnsWNHaNMmDJVKZVymUqk4depEuQNdVlYmn322oUadvTFHO1qg1JCXm4uzi0u11EFUj4rsz5XdD6uTv38A/v4B6HQ6+vXrX2bfFsKcKpzAxsXFodVqadu2rXFZWFgYH3zwwV1ft2PHDrKyshg1yvSDULFdBih0XEnOQa/Xo1AoTC5DCPHgeHp64uDgaPxbr9eTnJxISEgoHh6aMvuxm5t7Fc/eWN8wBOZoR/VKFUcOHKV77+4mv1YIwPgjU6VSkZiYiLe3NyqVqkb+CBWWo8IJbEpKChqNBrX675d4eXlRWFhIeno6Go2m3Gv0ej1r165lxIgRODk5mRycHj0K52yyc1Vk5BShcXUwuQwhxIPTp8+jXLp0kZiYz3F0dEKn0zJkyNMsW7aILVs+ZcCAQTg7V/5M4N6933DixHEUCgWrVr1PmzZhDBr0ZDXW4P4yRzsKcP18PPSudNiiBouLO0tc3Fk6dOiEg4MjO3Zs4dVXxwNV/xF6t8RXiHupcAKbn5+Pvb19mWWlfxcV3f4mgUOHDpGUlMRTTz1V6QCVLpnocj24diMXb03lGm9Lo1Ipy/xvi2y9jlK/O4uIGF9u2dKl71c5JoB//vNR/vnPR5k27Y0ql2WO7+5Bt6P22lyK1C4UZepQW9BwaNXB1vdBMH8dL126iJubK48++hivvjoKvV7P4sXLqrQt7dnzDcePH/vrR+gKOncO5/HHB1Vj1JbD3N/fg2DOulU4gXVwcCjXwJb+faezAt988w3du3fHzc3N5MB8anmTlJOCulYWumRIzixEo7GtPlxubraRkN+NrddR6idM8aDbUTtFJkW4oNW52Fz7WaombKPmqqNG09L4OCbmi2op86mnBvPUU4OZP/+dainPGtSEbdQcKpzA+vj4kJ6eTklJCcq/JhVISUnB0dHxjg3rzz//zLhx4yoVWBNNfZJyUrBzy6YQOPfnDdLTH8wd2PebSqXEzc2JrKx8dFW8s9RS2XodpX7Wr7SOD9KDbkftnHVQCIUqdy5duoaHx4O5CfBBqEnbqK3WUepn/czRjpaqcAIbEhKCWq3m+PHjtGvXDoCjR4/SsmXL266flpbG1atXCQsLu+3z99K4dgMOXD2Kzi4blFouJ2ab7S7M+0WnK7G5Ot3K1uso9ROmeNDtqFcjLzLiQK9QcfjHw/Ts90ilY7dUNWEbtfU6Sv1EZVS484KTkxMDBw5k9uzZxMbGsnfvXqKjoxkxYgRgOItQWFhoXP/8+fM4ODgQEBBQqcAae9QzPFDoUTpnk5yeT/4DnoVICCGq04NuR8N7dDA+Tr4o884LIWyHSb1vp0+fTmhoKM899xxz585l/Pjx9OrVC4Bu3brx1VdfGde9ceNGpfpslSp6dzXKv36wKFwy0QMJKbbRhUAIUXM9yHa0SdNGOGgN42gXZckZICGE7VDoLXQci/1P/B/fDmzCb87ZaFPrUnyxNc/2CaRnWOXORFgSSxic+n6z9TpK/axfaR1tXdSED8hV+eOozWDkzIHmDqfa1KRt1FbrKPWzfuZsRy16bIfADDsA7FwNZxCuJOWYMxwhhLA6ahfDgbNA5UZqyg0zRyOEENXDohNY38R8APQOOaAq5mqyJLBCCGEKz/pehgcKJccPHjFvMEIIUU0sOoF1vJoCf/VwUDpnEZ+Sg67ENk/DCyHE/dCuazvj49Q/k80YiRBCVB+LTmDJzcPzrxsPlC6ZFGtLSErLN3NQQghhPXz9fHHQZgJQnK0wczRCCFE9LDuBBUIyHAFQuGQBcCU525zhCCGE1VErDe2mVu9q5kiEEKJ6VHgigwfNsa4vBdcTaXBDz88NQF0ri2LgalIOnZqbOzohhDmcOXOa2NgT5OXlcfp0LM89N5I2bSo3yH9NYldLD3lQqHYn8XoivnV9zR2SqKFu3ofPno0lImIsTZvKQV2YzmLPwLqFGjZozbVMQz9YhzxQF3FFbuQSokYqKCjgp5/+x9Chz/LCCy8zYMBAJk8eT2pqirlDs3heDesYHx8/cMyMkYiarPw+PJhRo0aRkiL7sDCdxZ6BdWseQvLe71Fl5eKa60h2LRVKl0yuJLmg1+tRKKQvl6hZ8rX5JOY+mIZerVKQWuKEi84VO4XDA3nPe4mPv8rGjf+lf/+B+PsH0LFjJwoLC4mNPUmPHr3MHZ5Fa9u5PX+cOQkKJelXU80djqBi+3PpfpidlY9WV7Uh231dvHFSm2fO+lK37sPh4Z0oKCggNvYk3bv3NGtswvpYbALrHvr3JYV6KVrO1lKhdM4i+7o3mblFeNSyjIOqEA9CvjafWQfeJV/7YG9idFY78fZD00w68On1erZu3QSAWq3m6tUrRERMQKfTkZOTTe3angBkZWXx2WefcLe5VBwcHBg5chQATZs2Y9Wqdfj7GyYzSUw0TI0aEFC/UnWrSby8PXHUZVKg1qDNVZk7nBrPHPuzk9qJuSbuy6XWrFlFTMznREW9h0ZTm7S0NIKCgqu8DyclGfbhevVkHxams9gE1sHHB7VGgzY9nWbpas42MoxEAIYJDSSBFcIyRUUtICAggKFDnwXg3Xfnsnt3DK6urmX6q7q5uTF69FiTym7RoqXx8caNH/PUU8/QrFlgdYRt81TKHECDVl/5qWlFzZOQEE9QUAibNg3n++/3EhgYTFBQMFD1fXj9+mief/55mjULtNmZqsT9Y7EJrEKhwDkwiKxDv+CbVAC4oKxlGInganI2rZp4mjdAIR6g0rMnD7ILgaub6V0I4uJ+46effmDHji+Ny/z963HmTCzNmgWi0dSulvh27dqJp6c3r746vlrKqwns3ZTk5kCh2pUrf16lfsN65g6pxqro/ly6H5qzC4G/fwD+/gHodDr69euPSlU9Z/B37dqJl5c306ZNIz09t1rKFDWLxSawAM5BhgTWMT0X53xH8pwKwK5QppQVNZKT2olG7g/mUltl5/A+duwIbdqElTnIqVQqTp06Ue5MTVZWJp99tqHClx9L7d//E3o9vPrqeIqKikhLu4Gvb90Kx1hT1WnsS/opw+NTh45LAmtmFdmfjfuh0rT9sLqV7qMqlYrExES8vb1RqVRV3ocjIl6jqKiI69ev4e0tI2MI01h2AhsYZHzsl1LMH/UNN3JdTdaYMSohxJ14enri4OBo/Fuv15OcnEhISCgeHpoyN2C6ubmbfPnx+PGjpKXdoEuXbty4kcqZM6epXdtTEtgK6NC1I7+fPIxeoSIzIcPc4QgrERd3lri4s3To0AkHB0d27NhivPJRHfvw0aPncXBwkQRWmMykBLawsJA5c+awZ88eHBwcePHFFxk5cuRt1/3999+ZPXs2Z86coX79+sycOZPw8HCTgnPw80Pp4kJJbi71UnT8Ud/QDzYpIY/CIh0O9nIzghCWpE+fR7l06SIxMZ/j6OiETqdlyJCnWbZsEVu2fMqAAYNwdnapVNkJCfFMnTqR/Pw84zKFQsHXX/+vmqJ/MB50O1rK1c0VB10mBera6PIs+tyFsBCXLl3E2dmFPn0eJSJiNHp9CQsWLK10eXfah/fu/bE6whU1jEmt2MKFCzl79izr168nISGBqVOn4ufnR9++fcusl5OTwwsvvEDPnj1ZsGABO3fuJCIigm+++YbatSveB06hVOLULJDcE8dpkFo6pWwWWiA+JYcm/u6mhC+EuM8UCgVjxkSUW75o0fIql+3vH8C33+6rcjnm9qDb0ZupVblAbYqRtlPcW6NGjY2P163bUOXybt2HK9tVSQgwYSKDvLw8tm3bxowZMwgJCaFXr1689NJLbNhQfqPeuXMnLi4uzJkzh3r16jFu3DgaNGjA6dOnTQ7Q6a87jN1u5GNfVPLXSAR6mdBACGF1zNWOlrJ3N1y1KlK78MfvFytdjhBCmFuFE9i4uDi0Wi1t27Y1LgsLC+PUqVPl1j106BA9e/YsM9nAtm3b6N69u8kBlvaDVWDoB6uwK0JhX8DVpGyTyxJCCHMyVztaqm6zAOPjs7+Wf08hhLAWFU5gU1JS0Gg0qNV/9zrw8vKisLCQ9PT0MuvGx8ej0WiYNWsWXbt25V//+hfHjlVu+kKH+g1QOBiG8fFPLgZA4ZIlZ2CFEFbHXO1oqfYPtUNRogMgOzGrSmUJIYQ5VbgPbH5+Pvb29mWWlf5dVFRUZnlOTg5r1qxhxIgRrF27ll27dvHiiy/y1Vdf4etb8TsNVSolONjh3LQZuWdOE5CqBQw3csUn5qBUKlAqrW9KWZVKWeZ/W2TrdZT6WT9z1M1s7ehf3NxdcSxJJ1/phS7fDrXaer/fmrSN2modpX7Wz5x1q3AC6+DgUK6BLf3byans4MgqlYrmzZsTEWG4mSM4OJj9+/fzxRdfMHr06AoH5+ZmKDenTUtyz5ymzo1i1Fo9OpdMirQl5Gn11POpVeHyLE1p/WyZrddR6idMYc52tJRabbgDvEjhgaurQ5mzwdaoJmyjtl5HqZ+ojAq3XD4+PqSnp1NSUoJSaci4U1JScHR0xM2t7NSEderUoXHjxmWWNWzY0Dh3eUVlZeWj05WgqNcIAGWJHt8bxVz1zAL0nD6fTC176/tlo1IpcXNzMtbPFtl6HaV+1q+0jg+SOdvRUg617clOg2KVE7/8fJzQ1s0rWRvzqknbqK3WUepn/czRjpaqcAIbEhKCWq3m+PHjtGvXDoCjR4/SsmXLcuu2adOGw4cPl1l24cIFBgwYYFJwOl0JWm0JdvUbolCr0Wu1+CcXE+9TjMIhn0vXs2gfVMekMi1Jaf1sma3XUeonTGHOdrRUQFB9Ug8azvqePXqWoNBgU6thUWrCNmrrdZT6icqo8OlLJycnBg4cyOzZs4mNjWXv3r1ER0czYsQIwHAWobCwEIChQ4dy7tw5VqxYweXLl1m+fDkJCQkmN7zGIO3tcWhoOAvrn2xoeJUumVyVKWWFEFbEnO1oqbBO7VGWGG6IzZU2VAhhpUy6/j59+nRCQ0N57rnnmDt3LuPHj6dXr14AdOvWja+++goAPz8/PvroI77//nv69+/Pvn37+PDDD6lTp/JnS0uH06qbqkWp06NwyeSqjEQghLAy5mxHARwc7HHQGaaS1RXa32NtIYSwTAq9Xq83dxB3cvPsHLmnT5GwbAkAm/toSLD3oSiuI0sjuuBey8GcYZqsJsw+Yut1lPpZv9I62rrbfYefLFhPjr4+al0BI6f2ssobuWrSNmqrdZT6WT9ztqNWcweUY5Nm8NeA3n7JRcYZueQsrBA1R3z8VSZOjKB37+783/89zqeffmLukKySk6fhR79W5ciZE2fMHI0QQpjOahJYlZMTDvXqA4YJDRQqHQrHXJnQQIgaoqSkhH//+zU0mtp8/PGnTJ48nfXrP2LPnq/NHZrVadD879ENLsT+bsZIRE1z7NgR9uz5mt27Y5gxYyqxsbHmDklYKatJYAGcAgMBw5Sy6PUoXbK4IlPKClEjpKWlERgYzOTJ0/H3D6Bz5y60a9eB2NiT5g7N6rTu0BpVieGG2NyUfDNHI2qSWbOmotPpeOyxAYSGtmTs2LHmDklYKavq+OTULIiMvXtwLNbjlaEjUW7kEqLG8PLyYs6cSAD0ej2xsSc5efI4kyZNM3Nk1sfezh6HknTylD6UFDmaO5waSZeXR1Hi9buuo1IpUbs6kpddUOVxRO1966Jydq5SGdXh/fdX4+fnDxj2Ywu+DUdYOOtKYP86AwuGfrBJfpkkXsmjsEiHg73KjJEJcf9V5IBXXUoPnLpaGrC3vATnySf7k5ycRJcu3Xj44Z7mDscqKe0LoQQKlR4UFRdhbycjEjwourw8Lk2bTEle3gN7T6WzM43eXVypJHbNmlXExHxOVNR7aDS1SUtLIygomKysLD777JO7JqEODg6MHDnK+Hfjxk2Mjw8e/JkpU6aYHI8QYGUJrNrVDXvfuhQlXsc/pZiTTbPQU0J8ag5N/NzNHZ4Q9405DnhQuYOeXq9n69ZNAKjVaq5evUJExAR0Oh05OdnUru0JUKmDX6nIyMXcuJHK4sXzee+9JUyYMNnEmgkXbydykkCntOfE4ZN07NLB3CEJC5SQEE9QUAibNg3n++/3EhgYTFCQYfILNzc3Ro82vQvA77/HcejQQZo3b0GfPn3Iy9NWd9iiBrCqBBbAKTDIkMAmF6NQ6lA45XI1SRJYISxFVNQCAgICGDr0WQDefXcuu3fH4OrqSps2Ycb1KnvwA4wH0PHjJ/L227OIiJhglUNBmVOTloEkJaUDcOXsRUlgHyDVXz8MK9KFwM3VkSwzdiHw9w/A3z8AnU5Hv379UamqfrUzMDCYwMBgdu3aybBhw3jvvQ+ws7Ou4TCF+Vldi+/ULJDMH/+HS0EJHtk6kl0yZSQCYfMqesCrtvf768BZWEuD3oQuBHFxv/HTTz+wY8eXxmX+/vU4cyaWZs0C0WhqVzqm9PQ0YmNP0b37P4zLGjRoRHFxMXl5ubi5yY9YU4S2CeXwN3vRqhzJTys0dzg1jsrZGaebLqffjlqtxFXjgtbM44iWXiVRqVQkJibi7e2NSqUiKyuTzz7bUOGrKKdPxzJjxmQ+/PBjfH3r0qZNWxYsmMcvvxygW7ceD6QuwnZYXwL714xcYBiNILVWFldlJAJRA1TkgFddKnvgPHbsCG3ahJU5S6NSqTh16kS5s62mHvwSEhKYOXMKO3bsxsvLG4Bz535Do6ktyWslqNVq7PUZaPFFV+Rk7nCEhYqLO0tc3Fk6dOiEg4MjO3Zs4dVXxwPg5uZu0lUUtVpNw4ZN8PT0AuDatQTs7OwIvOm4LkRFWV0Ca+fpidrTE+2NG/gnF3PaJ5P487mUlOhRKhXmDk+IGs3T0xMHh7/P2Or1epKTEwkJCcXDQ4Ner0fx14Qkph78mjcPJSgomMjItxk/fiLXryewatV7PPfcyGqvR02hcigCHRSqPMjPz8fJSRJZ8bdLly7i7OxCnz6PEhExGr2+hAULlla6vODgEB57rD/bt29GqVQSG3uSDz/8EH//AJudqUrcP1aXwIKhG0H2jYP4JxehcM6iQFtMckY+vrXNP0SIEDVZnz6PcunSRWJiPsfR0QmdTsuQIU+zbNkitmz5lAEDBuHsXLlpB5VKJfPnL2Hp0gWMGTMSR0cnnnxyKE8+ObSaa1FzuPjUIvsalCjtOH74OA89/JC5QxIWpFGjvye8WLduQ7WU2afPo8bHzzzzrHGqVSFMZZ0JbGAQ2b8cxD23BNcCLYVO2VxJypYEVggzUygUjBkTUW75okXLq6V8Ly8v5s1bVC1lCQgJCyXxmqFfdfxvl0ESWCGElbCqmbhKOd/cDza5GKVLlkxoIIQQJmoa3AQ7nWFotsKMYjNHI4QQFWdSAltYWMgbb7xBhw4d6Nq1K9HR0Xdc95VXXiE4OLjMv3379lU5YAA7H19Urm4A+KcUo3TJ5LLcyCWEsAKW0o5C6Y1cmQDoiivXtUMIIczBpC4ECxcu5OzZs6xfv56EhASmTp2Kn58fffv2LbfuxYsXWbx4MZ07dzYuc3V1rXrEGC5TOgUGknP0CH7JRSibZ3L1TzkDK4SwfJbSjpZSORVDMRSoPMjJyaFWrVrVWr4QQtwPFT4Dm5eXx7Zt25gxYwYhISH06tWLl156iQ0bynfsLioqIj4+npYtW+Lp6Wn8Z29ffVMVOjUzTCvrlanDSZlFZl4+mTkylqEQwnJZWjsK4FbXcDVLr1Rx7MDRai1bCCHulwonsHFxcWi1Wtq2bWtcFhYWxqlTp8qte/HiRRQKBQEBAdUT5W3cPB6s/40iFM7Z0g9WCGHRLK0dBQhp38r4+Pof8ff1vYQQorpUOIFNSUlBo9GUma7Ry8uLwsJC0tPTy6x78eJFatWqxZQpU+jatStDhgzhxx9/rL6oAYeAeigcDeNN+icXoZQZuYQQFs7S2lGApoGNsdcahjEqypSxOIUQ1qHCfWDz8/PLXboq/buoqKjM8osXL1JYWEi3bt14+eWX2bNnD6+88gqbN2+mRYsWFQ5Opbpbfq3EJTCQnFOn8E8uRlkvi/jkHNRqyx9YobRed6+fdbP1Okr9rJ856mZ57aiBnSKTIlzQ6lysog2FmrWN2modpX7Wz5x1q3AC6+DgUK6BLf371tlbxo4dy/PPP2+8GSAoKIjTp0+zZcsWkxpeN7e7zwqT27olOadO4Z2uxcE+nfjUXDQa67mT9l71swW2XkepnzCFJbajAHbOOiiEQpU7en0xtWt7VLh8c6sJ26it11HqJyqjwgmsj48P6enplJSUoFQaMu6UlBQcHR1xc3Mrs65CoSh3J2vjxo25cOGCScFlZeWj0935kpaifiMAlHrwy03nfGoGiUlZONir7vgaS6BSKXFzc7pn/ayZrddR6mf9Suv4IFliOwrg7u9BxkXQK1R89+WP9HrsEZPewxxq0jZqq3WU+lk/c7SjpSqcwIaEhKBWqzl+/Djt2rUD4OjRo7Rs2bLculOmTEGtVhMZGWlcFhcXR1BQULl170anK7nr/MjqgAagUoFOR90bWv5wzubPxCya+Lmb9D7mcq/62QJbr6PUT5jCEttRgNAObbh80ZAYJ55PsKrvvCZso7ZYx6KiIl56aThz5symWbPQcvUrKirixRefZeLEqbRt285MUVYPW/z+LEGFOy84OTkxcOBAZs+eTWxsLHv37iU6OpoRI0YAhrMIhYWGYaz69OlDTEwMO3fu5PLly6xYsYLjx48zfPjw6g3ezg77evUA8LlRjMIlk6tJciOXEDVVYZ5lz6luie0oQING9bDXGtrOoix9tZcvxM0KCwuZPXsGly4ZRtq40/N//nnpts+L+ysv17Lb0VIm9b6dPn06oaGhPPfcc8ydO5fx48fTq1cvALp168ZXX30FQK9evXjrrbdYtWoV/fv353//+x9r1qzBz8+v2ivg3LgJAL5pxSidM7kiM3IJUeMU5eezd/ZELr02lh+2lx9T1ZJYYjsKhhu5AHQlMpGBuH8uXbrI6NEjuXYtoVLPi/tHq9WyMWo9nyw/yMYl680dzj2ZNBOXo6Mj7777Lu+++2655+Li4sr8PWTIEIYMGVK16CoSU6PGwHc4F+hxV96QobSEqGGKCgr4KXIa9a8bErCs1CQzR3R3ltiOAqidS4w3cqWnZaCxohu5hPU4efIY7dp14OWXX6FXr24mPy/un83LPyWruD4oQVdg+SMnmJTAWiJDAmtQNyeLc+kZlJToUSrlsoMQtq64qJAf5083Jq+X6rrR89kxZo7KOrkHaMi8AHqFkmMHjvDI473MHZJNKyzQkpGWd9d1VCoFuVlFZGfno9NVrWuHR21nHBzNf8gfOPDJKj0v7o+NS9YbklfAQZvJQ089ZOaI7s38W3MV2dXxAUcHKCjE90YxZ5wySErPo66n9QynJYQwnbaokH2R06mfYJgA4E9fVzpPmYeri+z7ldGqU1uuXDgPQMqlRDNHY9sKC7RsWPULRYXaB/ae9g5qnn2lU6WS2DVrVhET8zlRUe+h0dQmLS2NoKBgsrKy+OyzT9Dr75xcOzg4MHLkqKqELu6zT5etJ6uoNHnNosv/NadpYON7vMr8rD6BVSiVODZsTEHcb/je0KIMyuRKUo4ksELYMG1xET+8O4MG8WkAXPGpRcd/v4Obq6uZI7Ne9er546A9SqHajaJsuZFLGCQkxBMUFMKmTcP5/vu9BAYGExQUDICbmxujR481c4SiKj5b/gmZBaXJazadnmhKUEgzM0dVMVafwAI4N2lKQdxv1EkrRumUyZXkbMKb+5g7LCHEfaDVFvP9uzNpeCUVgKt1XAibPBcPd+sYPs+SqRXZFOKGrkR+CNxPDo6Gs6EV6ULg6upk1i4E/v4B+PsHoNPp6NevPyqVZY+zLirus/c3kJFvGMnJXptDh/6Nad6yuZmjqjibSGBL+8Ha6cBblypDaQlho3RaLd8vmEnDy8kAxHs70/rfc6mt0Zg5MtugdimBAihQuZGacgMvb09zh2SzHBzV+Pi53XUdtVqJRuNCerq9WccRLe0ioFKpSExMxNvbG5VKRVZWJp99tkG6EFihTSs3kpEbAIC9Npf2j9anZetQM0dlGttIYBs2Mj6um5PNueJ0M0YjhLgfdFot3y2aRcNLhlEGErycaDHpbbw0tc0cme3Q1PMk8zygUHL84BF6D+hr7pCEmcXFnSUu7iwdOnTCwcGRHTu28Oqr4wFwc3OXLgRWaPOqT0nP9gfATpdLWJ+6tG7XysxRmc4mEli1hwd4uEFGFj43ijnmlkpmTiHutRzMHZoQohqUlJSwN2o2jS5cB+C6p3Mj1YoAACAASURBVCMhE2dTx8vLzJHZlrYPhfHnecNQXql/Jps5GmFuly5dxNnZhT59HiUiYjR6fQkLFiw1d1iiCrZ++BlpGXVBAXa6PFr3qEPbjmHmDqtSbCKBBXBu3JS8Y8cMN3LVzeJyUg6tJIEVwuqVlJSwJ2o2jc7HA5BY25Fmr8/Gt470c69uvnV9cdAeolDtTnGODEVY0zW6aZjKdeuqf4KQgweP/tVF4vYzP/3006/V/p412bY1m0lN8wWFAjtdPq0e9qLDQx3MHValWf5ItRXk3KgpAJ6ZWuwc0rmaLDNyCWHt9Ho9e5a+TaNzVwBI0jjQeMIs/Hx9zRyZ7VIrDG2nVm7kEsJmbP9oCymp3qBQoNYVENrVnY5dO5o7rCqxmQTWsZGhH6xSD3WLU7giN3IJYfW+XT6PRr/9CUCyhz31x88gwM/fvEHZODtXww05hSo3Eq/LeLBCWLvP/7uNlGQvUChR6woI6VyLzg9b/kQF92I7CWzDRugVhktevtm5XE5NM3NEQoiq2BO9gkan/wAgxd0e/3Fv0KBefTNHZfs863sbHigUnPjluHmDEUJUybdffEPSNQ16hRKVrpCgDk507dnV3GFVC5tJYJWOjih8DA2v741ibhQlUlD04GY5EUJUn/27t1N//xEA0mup8Rk7lUYNGpo3qBqiTZcw+GtYpLTLqWaORghRWUd+Ocrl03r0ChXKkmKahdnTvc/D5g6r2thMAgtQq4lh9gifG8UoXLKIT7l9x3AhhOU6feQAHjG7UAB5DkrsnhtN08ZNzB1WjVHHuw6OukwAtLlyI5cQ1ujypauc2puAVuUI+hJ86+fQ49Ee5g6rWpmUwBYWFvLGG2/QoUMHunbtSnR09D1fEx8fT9u2bfn11/t/N6FzY8ONXO65Jbiob3A1SW7kEsKaJPx5geKPP8JOp0erhBtPDCIszHrvkr0dS29HAVRKwz0EWv3dB9oXQlie7KxsftjwC4Vqw/7rUesaTzw7yMxRVT+ThtFauHAhZ8+eZf369SQkJDB16lT8/Pzo2/fOg13Pnj2b/Pz8KgdaEY43DflRtzCVK8lyI5cQ1iI7I50r7y3As0AHwPnuD/FEn/5mjqr6WXo7CmDnCuRCodqNhKsJ+NeTG+eEsAZarZbP3/+CfDvDLFu1uMLT454zc1T3R4XPwObl5bFt2zZmzJhBSEgIvXr14qWXXmLDhjuPDRcTE0Ne3t3neq5ODn7+6NWGeZrrZuXyZ4r03xLCGmiLCjmy6E08s4oAON2qKU88+7KZo6p+1tCOAng3+nuM3VOH5EYuIazFpqWfkqsyJK8u2us89fpQM0d0/1Q4gY2Li0Or1dK2bVvjsrCwME6dOnXb9dPT01m8eDFvv/121aOsIMX/Z+/O46MqrwaO/2bmzpaNbJCwhC0ohC0JYREEFURA2auguIBWW6tVrPW1FbE2dSuv1drXYouiRRE3RFBWEYoibgiRHQJhCYQtTMKQbfa5z/vHkIEYlgQmucnk+X4++cDcuTP3nMzMyZl7n/tcRUHfJrCnIKnYxzHnMfyqdtePliTp4oQQ/Pfvz9D69JCf3e0TGf3gExpHVTcaQx0F6NW/NzoRqJ32w3JGF0lqDObP+oAyf2CmFovvJDfdPwyz2aRxVHWnxg2szWYjLi4ORTkz6iAxMRG3243dbq+2/owZMxg/fjydOnUKTaQ1FN2pMxCYiUA12Tl+sv4Ou0mSVHurZr9Ch71HAChoEcm1j2ZjVMLmIoFVNJY6Gp8Qhzl4IpehXrctSVLtrViwlJP2wJETk6+CATf3ILF5gsZR1a0a/5VwOp2YTFU7+crbHo+nyvLvvvuOTZs2sXTp0ssKzmCo/SQJ0Z2uoHT1KiweQbzOxpGiCtolN6wrylTmdSn5NRbhnqPMLzS+WvAe7X8M7H0sjjHS9ZGniG9WPycOafHaNZY6CpUncsXhFTEoSsN7n4f7ZxDCP0eZX2h8t/YHCvaYEHo9BtVD10FxdOvRuU63WUnL167GDazZbK5WYCtvW63W4DKXy8XTTz9NdnY2JpMJcXo+wcp/ayMmxnrxlX7GmtmNI6f/n+w6yYlTLuLiImv9PPXhUvJrbMI9R5nfpftu9RfEL18JQIVFT/LU/6Fn9yvrbHsNQWOpowCWOAMVJeBRoimyneCKKztc0vPUtXD/DEL45yjzu3Q7tu1m25cn8CtR6IRK+y4+xtxy/hNCw0mNG9ikpCTsdjuqqqLXBzpum82GxWIhJubMHpOtW7dy+PBhHn744SqP/9WvfsX48ePJzs6ucXClpU78/tqNYRWmKNQIC3qHi5alDnYeOoLd3r5Wz1HXDAY9MTHWS8qvsQj3HGV+lyd/zy4cb8zGqoLXAGW33EafTmnY7fU3d3NljvWpsdRRgObtkyneEvj/d6t/ILF5i1o/R10K988ghH+OMr/LU1xsZ/ns7/EYA0MF4mKPc9PEO8O+jlaqcQOblpaGoihs2rSJrKwsAHJycujRo0eV9dLT01m1alXwthCCYcOG8fzzzzNgQO2uvev3q/h8tX/RlXZtUXftIbnIyzcJR/B6/eh0DW9C7kvNrzEJ9xxlfrV3qsjGkX++RJxbRQD7hlzHmOuGhfXvsVJjqqNZA7LYvTkHodNjLzjZYF+fcP8MQvjnKPOrPY/Xw2czl+E0tgIgWn+IWx+YHNa/x5+r8eAFq9XKuHHjyM7OZtu2baxevZo5c+YwZcoUILAXwe12YzabSUlJCf60bRs4Iy4pKYn4+Pi6yeJnmqV2AaC53YdXX8Spcs9FHiFJUn3wuF1seSmbuDIvANt7pTHm1ru1DaoeNaY6GtOsGWb/KQD8zvA8qU6SGquPXvmQCkOgeY30Hwnr6bLOp1ajb6dNm0a3bt2YPHkyzz77LFOnTmXo0KEADBo0iBUrVtRJkLVlPX3ZSUWFFuoJCk7IK3JJUkOw5tUXaFkUOLy1KzWJsff/j8YR1b/GUkcBFEPgYjBeeUUuSWowPnlzPuVq4Eut1VfE6AdGYjKG73RZ51Orr9UWi4UZM2YwY8aMavfl5uae93EXuq8uWM+6Ilcrp51DheX0TE2s1xgkSapq3Wcf0nH3IQAOtYhk6O+yUQxNb4qmxlJHAYwxBigDjxLFvrz9pF7R8eIPkiSpzmz4bgPFJ+JAH5gua9CtvYiLj9U6LE2E5dwVhuho/HGBPQbJJU722U5oHJEkNW35ebuI/Tww40CZ1UD7Xz1GpDW8zzwOB8mdzlxCdseGbRpGIkmS/eQptq85jF9vRCdU2mWYmvSXyrBsYAFM7dsDkFTspaDssLbBSFIT5nY6OfL6/2H2ClQdnBw5hk4dmm7RbUyy+mehE34Ayo6VaByNJDVtS19fgkuJAyDGeoSho27QOCJthW0DG9spDYD4Ej8u7zGcbp/GEUlS0/TVP1+g+SkXADt7XsENI8ZqHJFUU9Ex0VjkiVySpLkFb35EuS4FgEjfMSY+NEnjiLQXtg1sRMfApRd1QEvvCQ7byrUNSJKaoK8XvU+HPQUAHEyK4qYmeNJWY2cwBE668+iaaRyJJDVNP367geITgdlHTL5yrrtzYJXLUTdVYdvAmtu2RZye+7Wl087B43ImAkmqTwd27yBuZWAu0zKrgdRfPYbFZNY4Kqm2TLGBP5ReQyS7d+VpHI0kNS0ni+3s+PIwqt6ITvhpn2mhbfsUrcNqEMK2gdWbzfiTAlenSLa72Wc7rnFEktR0uJ1Ojs3+J2afwK8D++hxdGzfMC9FKl1YqyvP/LHMzdmuYSSS1PQse2NpcNxrs8ijXD9yqMYRNRxh28DCmflgk4q9HCw9onE0ktR0fPXqcyRWjntN78zQYaM1jki6VFlX9UKnnj6RSx7JkqR6s2D2h2eNez3KhAfluNezhXUDG3dFVwCinSqeikP41aZziTVJ0srXn8yjQ17gC2N+cjSj5LjXRi0iMhKLagfA7zJqHI0kNQ3r162n2BY4imzylTN4yrVy3OvPhHUDW7kHFiDJfYLjxQ4No5Gk8Hcgdzvxq/4LQGmEgU6/fgyzUTY9jZ1BCdROry4Wn0/O6CJJdelksZ2da48Fx712zIokJaX1xR/YxIR1A2tq2Qq/MXCln1YVpzhYKA9/SVJdcTkqODb7n5hOj3s9NfoXdGzbXuuwpBAwxwa+hHgNVvbm7tM4GkkKb0tfX4pLCVxdq1nkMQbfOFjjiBqmsG5gdXo9onUyEDiRK+/EMY0jkqTw9fWrz5NY4gZgZ2YXht4wUuOIpFBpk9Yu+P/cn3ZoGIkkhbeP3/iACv3pca/+o0x48DaNI2q4wrqBBYhIDcwH26LYxwH7IY2jkaTwtHbBXNrvPQrA/pbRjPrVYxpHJIVSZt9M9KoXgPJCOae2JNWF77/+gZNFiQCYfGVcP1mOe72QsG9g46/oBhCYzudUPkIIjSOSpPByYOdWEld9CUBJhIEuv3pcjnsNM1arFbMauJSs323SOBpJCj9FtmJyvz4eHPea2iea1nLc6wXVqoF1u908+eST9OnTh4EDBzJnzpzzrrt48WKGDx9Oeno6t912G1u3br3sYC/F2SdyNXcUYi9zaxKHJIUjn9fDkTn/xugX+PVQNuZm2rdtq3VYDVpjrKNw5kQujzyRS5JCbsVby86Me406xnXDr9M2oEagVg3siy++yM6dO5k7dy7Z2dnMnDmTlStXVltv48aNPPXUUzz00EMsW7aMzMxMfvWrX+Fw1P8sAEpcPJ6IwNV/WpaXyBO5JCmE1rz9Gi3sTgB29rySIUNv0jiihq8x1lEAS3xgz6vPYGHntl2axCBJ4eiLz1ZSTuCLf6TvKBMekONea6LGDazD4WDBggVMnz6dtLQ0hg4dyn333ce8efOqrVtUVMRvf/tbRo8eTZs2bfjtb39LSUkJ+/bV/9mrOp0OXdvAbvhku4fdhfKCBpIUCgd276DNxi0AHI8zM/zeRzWOqOFrrHUUoG3amSup7d2yW5MYJCnc2E+e4vC2wJFhg99Nv5v7yHGvNVTjBjY3Nxefz0dmZmZwWa9evc55SGvEiBHcf//9ALhcLt5++20SExPp1KlTCEKuvejUzgAknvKRX3xAkxgkKZyofj8Fc/6F4ge/HpTxtxNltWodVoPXmOtoRt9MDKdP5HLY5JzakhQKy95cjFuJASA24SSd067QOKLGo8Ztvs1mIy4urso3g8TERNxuN3a7nbi4uGqP+f777/nlL38JwMsvv4xVoz9w8Vd24+iyFRhUELb9msQgSeFkzXtv0LaoAoBdXTvyiwHXahxR49CY66jZbMKs2nHoW+B3mzWJQZLCyVcrv6Lc3wZ0EOE7zi/um6B1SI1KjRtYp9OJyVT17NPK2x6P55yPufLKK1m0aBFffvklf/zjH2ndujXp6ek1Ds5gCM0kCdGdzpzIFV9WiNevYjVrt4u+Mq9Q5dcQhXuOTTm/gv15JH/3IwC2ZiaG3f8/KErj+z1o8do15joKoDe6QARO5AJV00Od4f4ZhPDPsSnnV15ezoENdoQSh0H10nt0DyyWxjfDh5avXY2rj9lsrlZgK2+fb49AQkICCQkJdOnShS1btvDhhx/WqvDGxIRoT0NcJFviorDYy0kuL+VkhYfuyc1C89yXIWT5NWDhnmNTy08Iweo3/o9WPoGqA2XCbXRom6RRdI1Po66jQHQLK+WF4DOY2btrN/2v6Ruy575U4f4ZhPDPsSnmN/dv7+BSAhcsiI2zcd3QX9R3WI1ejRvYpKQk7HY7qqqi1wc6bpvNhsViISYmpsq6W7duRVEUunbtGlzWsWNH9u+v3eH70lInfr9aq8ecj75dCth3kXzSyw978mgdHxGS570UBoOemBhrSPNraMI9x6aa33/ff4tWx0sB2NU5hQkDh2K3V2gV5mWpzLE+NfY6mtK1A8dOX8hg6w/b6dKjW0ie91KE+2cQwj/HpprfN19+R6mr1emhAye45TcTZR29BDVuYNPS0lAUhU2bNpGVlQVATk4OPXr0qLbuggULOHLkCG+99VZw2Y4dO+jevXutgvP7VXy+0LypYzt1wbF5F3FlftYezMXXu3rc9S2U+TVU4Z5jU8rPdqSAuC+/BuBktMKge38f1rnXhcZeR3v06knOf7/CrzdRYXM2iNc/3D+DEP45NqX83G4PuWsPI5RE9KqPbkNT0euUsM6/rtR48ILVamXcuHFkZ2ezbds2Vq9ezZw5c5gyZQoQ2IvgdgemgrjttttYv349c+fOJT8/n1dffZXt27cH19VCwpVnir7/+G5Olro0i0WSGhshBFvfeAWLVyCA0mGjSDzHCUfShTX2OmoymjCrpwDwu7U7iiVJjdXCWR/hVAKXi42OOErvq7I0jqjxqtXo22nTptGtWzcmT57Ms88+y9SpUxk6dCgAgwYNYsWKFQB07dqVmTNnsmDBAsaOHcu6det48803adGiRegzqCFzSltUvQ6AVp5C1mzO1ywWSWpsvv3sQ1KOnARgV6dkht04TuOIGq/GXEcBlIjAl3+nMZFvv/xG01gkqTHJ+TGH0oqWAFh9xYy/X846cDl0QgihdRDnY7dXhHS3+p7n/gT5BZyK0vNe7+t4edKdKBqcQacoeuLiIkOeX0MS7jk2pfyKjh0jP3saEW6VkggDrac/T6ukZK1DvGyVOYa7UL9H9+/L54uP9iH0BqLEIe6aNjlkz10b4f4ZhPDPsSnl53C6+OB/P8WhtEAn/PS4yszVgwdqHeJl07KOhufcFeeRfPoyl7HlKu0c2/lpj03jiCSp4dsw62Ui3IE/LieG3BAWzat06TqmtieCowA4RCsOHijQOCJJavgWvvExDiVw9CTKeCQsmletNakGNrpPX/yx0QD02XuS5ds2aByRJDVs3y1bRLuDJwDY3T6Rm8beqnFEUkPQvnfguu2qXuHbz77UOBpJati2bd5BaUlzACy+U4z7jZwyKxSaVAOrMxhoMWI0AEknfRhPbeCIrVzjqCSpYSopLkZZshiAcqueHlMeQafTaRyV1BBcM+xarL7AESxneTxOp1PjiCSpYfL5fPz46Rb8ehMIlfZZzYiKitI6rLDQpBpYgLhB1+KzBq520afgGMs37dQ4IklqmJbPeIYolx+AgoHX0D4lReOIpIakWevAvx4lis/nL9M2GElqoP7z8js4lMCwq2jDYQbfOFjjiMJHk2tg9WYzMYOHAND+mIeCQ1/jdPs0jkqSGpaN/11B2z2HAchrE8uoCdqcqCM1XCNuG4XJF5h8vbQg/E7AkaTLtSd3L0XHAhcoMftKuene0RpHFF6aXAML0PKGkfhPX7s969he1u04pHFEktRweFxOvAsXAOAw67nirt9i0DfJUiFdgNVqxRJRDIBDacG6/67TOCJJali++eg7fAYLAK27GYlPkHNnh1KT/KtkiI7G2K83AJ0Pufh++xoa8GxiklSv1r73Bs0qvAAc6NebK1Ov0DgiqaEaOH4wejVwBCt/fb62wUhSA7J66SoqDG0AiBIFDB9/o8YRhZ8m2cACtBs1AVUHegFdjmxhT8EprUOSJM2dshWSvHEzAMfizYy5636NI5IasnYdUojQHQPAQUsO7MvXNiBJagB8Ph+HN5cAYFA9XHf7tRpHFJ6abANrbN4cb7fAnqXu+WUs3/i1xhFJkvbWv/0aZm/gaIR+5HjMRqPGEUkNXYd+HYDAlFrffSbrqCQtnrsweLnYmKgTdEhtr21AYarJNrAAHcdNAsDoh7i931BS7tY4IknSzoHcbbTbExgPvrdNLONvvkXjiKTGYOCQgUT4AnMFuxwJOCoqNI5IkrRTWlKC/WgEAGZfGXc9drvGEYWvJt3ARrbvSGnbJAAyDhaxYuNWjSOSJO0ceP8t9AJ8emh18xQ556tUYzEpgT8lHiWSz+cv1zgaSdLO0jmf4VEC87zGtXETG9tM44jCV5NuYAHajg3sZYpwC0p/WoZfldPBSE1Pzpef0+ZoYBz47itT6J2ZpXFEUmMyYuJITL7ARWFKD2scjCRpZF/efsodgTlfrV4b4++WV9yqS02+gW3eszclCYFvSxkHC9iQK6/rLTUtqt+PZ+kiIDBtVtak32gckdTYWK1WrFEnAXAam7N25VqNI5Kk+vfdgm8CV9wC2vVORFEUjSMKb7VqYN1uN08++SR9+vRh4MCBzJkz57zrfvXVV4wdO5bMzEzGjBnDmjVrLjvYuqDT6YgbMQKA2Ao/29cu1DgiSapfX89/m4SSwPjvfendadu6tcYRhbdwrKMAA8edmVLrYI6cW1tqWr5f+x3lBKbNivTLK27Vh1o1sC+++CI7d+5k7ty5ZGdnM3PmTFauXFltvdzcXB5++GEmTJjA4sWLufXWW5k6dSq5ubkhCzyUUq+5kbKowNnWnfft4khRmcYRSVL9cJSV0Ozb7wAoijFywx2/1jii8BeudbRt+7Om1NK1Yl/efo0jkqT6s2fdIdDp0as+Mkdlah1Ok1DjBtbhcLBgwQKmT59OWloaQ4cO5b777mPevHnV1l26dCn9+/fnzjvvJCUlhTvuuIN+/fqxYsWKkAYfKjqDAXVgfwCSTnlYu/IzjSOSpPqx7p1/EenyA1B89XXEREZpHFF4C+c6CpA6IBUAoTPww5JvNI5GkurH0g8X41ACY18jjUfpkd5N44iahho3sLm5ufh8PjIzz3yz6NWrF1u3Vj9zf/z48Tz22GPVllc04OlVMkbehtMU+HU03/49bq9f44gkqW4VFhwgZdtuAA4mRXLT6WnlpLoT7nV0wLUDiPAVAuB0JsoptaSw53Q6se0NnPxt9DsZeucIjSNqOmrcwNpsNuLi4qoMSk5MTMTtdmO326usm5qaSufOnYO38/Ly+OGHH7jqqqtCEHLdMFojKM7oAkA7WwVr13ylbUCSVMe2vjMLxQ+qDsw3TsBgaPLndNa5cK+jAM3aBYZjeQ0RrPhwmcbRSFLdWjxnIS4lFoDoeDvJLVtoHFHTUeNT5JxOJyaTqcqyytsej+e8jzt58iQPP/wwvXr1YujQobUKrr7/oPa+dQoFOU9g9Au83y3HcNPQOpkLszKvcG4Ywj3Hxp7fjh+/pV1+YE/Z7g4tuPm6IVXub+z51YQWuTWFOjr69jG8/dcVeJRoyo7pUZS62X5Teo+Ga46NPb/jR49TZo8HA1h8dm759cQq7/fGnl9NaJlbjRtYs9lcrcBW3rZared8TFFREffccw8Ar776aq2Di4k59/PWlbi4TnzfuRUddh4h9Wgx+fv206tPzzrbXn3np4Vwz7Ex5ieE4MT8eSQBbqOOrHsfIi4u8pzrNsb8GrKmUEchkshmJXgqonEqiXzz37WMvuWmOttaU3iPhnuOjTW/d2Z8jtfQFoA23S0kJ8edc73Gml9DV+MGNikpCbvdjqqq6PWBjttms2GxWIiJiam2fmFhIZMnT0av1/Puu+8SF3fuF/ZCSkud+P31e2GBTuMm4t31CnoBWz98hw6dngn5NgwGPTExVk3yqy/hnmNjzm/dpx+RVBQYm7inaydubd0eu73qWMXGnF9NVeZYn5pKHb3uluv5bM52VL2RPd8exH596MfCNqX3aLjm2Jjz25KzjTJPa9BDhO8YN95yh6yj9azGDWxaWhqKorBp0yaysgJX6cnJyaFHjx7V1nU4HNx3330oisLcuXNJSEi4pOD8fhWfr35f9NSO6axIaUbqoRLaHziI7egJ4lok1sm2tMivvoV7jo0tP5/bhbIqMGVTSYSBgbf/5oLxN7b8GrqmUkeTW7YkQreKctri0LUkd+deOl3ZsU621RTeo+GeY2PML2fpJoShDTqh0uXajrKOaqDGgxesVivjxo0jOzubbdu2sXr1aubMmcOUKVOAwF4EtzswGfrrr79OQUEBf/3rX1FVFZvNhs1mo7y8vG6yCDHrkGEAGP2CnPnvahyNJIXOV/Nep1lFYLL5gj59SbrEpki6NE2pjna6+kogMKXWejmllhRG/rtsNRWG0xct0B2m36B+GkfUNNVq9O20adPo1q0bkydP5tlnn2Xq1KnBEwoGDRoUnJ/wiy++wO12M3HiRAYNGhT8ef7550OfQR0YNGAEh5ItALTaupUD63M0jkiSLt8pWyFJGzcDcCzewo233qNxRE1TU6mj/a+56syUWq7m5G7frXFEknT5fD4fBZtOAWBQPVw94RqNI2q6dEIIoXUQ52O3V2i2233hqvfpvOALjH5wGfUkTp1Gq7QrQvLciqInLi5S0/zqWrjn2Bjz++JvT9N+d+ASnwduGc/wEWPPu25jzK+2KnMMd1q+hks/WkzBgcDYXouvhOsmpdMhtX1InrspvUfDNcfGmN/COR9TWNgcgGaWQ9z+u8nnXbcx5ldbWtbR8J3b4TKNG3obPw7uiqoDi1fl+GsvUnzkmNZhSdIlKdibS9s9geY1r00sw4aP0TgiqSkYdesYYoyB951Lacba93M4fuy4xlFJ0qVxVFRgPxI4OmvylTHqnvPvBJDqnmxgz0Ov03PXxN+z/qr2AES5vOS99AzlJ09pG5gkXYJdH89FL8CvhxZj76iT+Y0l6VxufeR2onWBJtZpTGDlW19jl3VUaoSWvrsYjxINQGyyk5hmzTSOqGmTDewFKHqF26ZMIyc9cI3j+DInP/3v07gcLo0jk6SaKyw4QMqBowDsbZtAn8w+GkckNSWKonDbY7cTJQoAcCgtWPyvzxvNyWiSBOB2eygvChwqN/tKGD1lnMYRSbKBvQizYmbM/U+zo1Ng/sXk4lK+mfE0fp9f48gkqWY2fzgHgxq4ZGzi8Fu0DkdqghRFYeLvbyXSfwQAh5LMwv/7DLf7/Fcfk6SGZNl7n+JWAuO5o1s4MBlNF3mEVNdkA1sDkaYIBk/NZn+bwLevtkdP8MXfnkVVw3NQthQ+ThYeJWVv4PDtvtax9O/TX+OIpKbKbDbxi0fGEuELjIGtMLRm/t8/qkSgLwAAIABJREFUxOfzaRyZJF2Yz+ej5KgRAJOvnJF3yHMIGgLZwNZQbEQzMh95miOJZgBS9+Wz4rVXNI5Kki5swwf/QTl9sCDqell0JW1FRUUx+oHhWH02AMp1bfnw7+/LJlZq0JZ9uASXEjgKGxlXQkRk+M9e0hjIBrYWkuKS6PjwExTHBL6JXbFlG8vema1xVJJ0bmX2Ylrn7gNgf8torhk4WOOIJAniE+IYds8gLL6TAJSpbfno1fc1jkqSzs3n82HPD+wFMPod3HTnKI0jkirJBraW2rXuQPwDUymzBn51qd98y8qF8zWOSpKq+/6DtzD5AtM8G64ZIWcekBqMVq2TuXZSL8y+EgBKPW354J/zNI5Kkqpb9ennOJXA5eQjo4rlzAMNiGxgL0HnK3qg/PI+XEYdegFtVq7gy9UrtQ5LkoIc5aUkb88F4FCLSIZcf6PGEUlSVR1T2zNgXBdMvsBsBKcq2rBg9ocaRyVJVZ3IrQBA8bu44fabNI5GOptsYC9ReuYAXLdNxKcHo18Qt+gjflj/vdZhSRIA3374HyyewEmGngGDMejlR11qeLp070zGsJYY/Q4AiopasGjuQo2jkqSA/y5djUNJAiDCcoLE5gkaRySdTf5Vuwx9r72R4lEjEECEW8U4bzbz3/kXFW631qFJTZjb6SBx01YAjiZYGHbjeI0jkqTzy+qbRdqAGBS/G6HTU3ikGfP+Npfjx05oHZrUxB3ZHDjZ0KB6uG7i9RpHI/2cbGAv06Axt3H02qsAiHaqZKz7kR+ffoQVK5cghNA4Oqkp+nb+O0S6A3tfy/oORDEYNI5Iki7s6sED6ZhhwKB6EToDZf62LP3PRubP+gCPV84VK9W/df9dR4XSEoAI43Fap7TWOCLp52QDGwKD7/oNZTePoTRCAaB1sYvUjz9h2bO/Z9O2LRpHJzUlPo+bZhtzACiMNTFszK0aRyRJNXP9yKFkXBsbnCfWa4ig+FRL3p+xhC8+k+cYSPXrwA+B+bP1qo8Bv7hG42ikc7mkBtbtdvPkk0/Sp08fBg4cyJw5cy76mI0bNzJ06NBL2VyjkHXjL0j/20yOXJWJRwmc7X3lITumma+w8O/ZHDshD4dJde/bRe8R7QzMqVnUqy9mo1HjiKTzkXW0ur5X92HKU7fRum1JcIYCpzGBfbvMzH3+PbbkbNU4Qqkp+PHbDVToWwEQoT9Kx9T22gYkndMlNbAvvvgiO3fuZO7cuWRnZzNz5kxWrjz/N+Tdu3fzyCOPhP0hdaPZwuD7HqHNM3/l4BVtUHVg9EP3nfkce/YJPn37NVweOT5Wqhuq34/1+8CJhEUxRoaNv1PjiKQLkXX0/MbcPpbbHh1KbORhFH+gZlYYWvP9Shvz/jaXEza5Q0CqO7lrc0GnQyf8ZI3srXU40nnUuoF1OBwsWLCA6dOnk5aWxtChQ7nvvvuYN+/cc/h9+OGHTJo0icTExMsOtrGIbZHMDX98DuMjj3A0KXDt5CinStdvNrDhyal8sXxRk/gjJNWv75fMJ7bcC8Cx9AwirRaNI5LOR9bRi4uIjGTSw3cy7PauRHEInVAR+sD42MVvbOSDf72Pxy3Hx0qhtXXTNhy6wHjXSI7QtUdXjSOSzqfWDWxubi4+n4/MzMzgsl69erF167kP7axbt44XX3yRu+++u8k1bandM7n2uf/j5C3jsEcHDuUmnXLTZv4i3n/wXlZ88j5lFeUaRymFA9XvR7/uKwBORRq4fvwUbQOSLkjW0Zpr1yGFu56YTObAyCrjY4tOJvN/f3ifD/71PkcKjmgcpRQutqzchNDpQah0v7671uFIF6DU9gE2m424uDgU5cxDExMTcbvd2O124uLiqqz/2muvAbBwYdOc20+n03HViHH4htzImvdnk/TjT1g9Ku2PlsDRzznw+UoKWidi6tmHq28YRYQ1QuuQpUZo46olJJQEDrUe6t6dvjFRGkckXYiso7XXb1A/+g3qx+L3P6NoP7iVZjiVBJwnYcm8XKz+r4lM0jFw1HUkt0zWOlypEdq9K48KtTXoIVI9SmbfIVqHJF1ArRtYp9OJyWSqsqzytscT2sM5BkP4TJKgKFZuum8qJ8ed4Nv/zKTV3kNYPSoWr+CKfBvkL2fv5ysoaN2ciMx+DLxhJNZG3MxWvnbh9BqerSHlJ4TAs+YLAMqseoZMvAdFuby4GlJ+dUXL3GQdvXS/mDweR3kFC99ciONUNG4lBqEz4FBa4iiGT+fsIEJdQ2RLhcHjhtAiqYXWIV+ycP8cNrT8Niz5HqFvC8CV13SSdbQGtMyt1g2s2WyuVmArb1ut1tBEdVpMTGifryGIi+tA6l9fxuN2s2bJZ9i+W0urgkIsHoHFI7jiwAk4sISdS5dxNKUFcf0GMmzseMyWxjmeMRxfw7M1hPy+XbaYFicDVzI62L0LIzqlhOy5G0J+4UjW0csTFxfJw3/5DT6fjy8Wr2HPD3m43HF4lGiE3kCFvhUVNvj49c1YxQli25oZPWkkLVo21zr0SxKOr+HZGkJ+eXsOUOFrGdj76j/K6F/cH7Lnbgj5haNaN7BJSUnY7XZUVUV/+vKUNpsNi8VCTExMSIMrLXXi96shfc6GwGDQExNjZcCw0fivH4nH5eLbVcuo+Ol7Wh22YfEKrB6V1H3HYd8C1i1YyInEGNzJLYm7shs9+l5NfHzDvqRdZY7h/ho2hPyOL/qEZMBh1jPg5nuw2ysu+zkbUn51pTJHLcg6evkqX7+BQwfRf/DV+Hw+vlq5lsNbCnB74vEoUah6hQpaUXEE3nhxHRa1GMXiIaZVDBlX96JDA58eKdw/hw0pv2VvLUc9vfe1fd9Wso7WkJZ1tNYNbFpaGoqisGnTJrKysgDIycmhR48eIQ/O71fx+cLzRYcz+ekVE4NuHA83jsfldPLD6mU4t/xImyM2zKeb2XZHT8HRU/DTLo5+tIAd0SbsCXHQph2tumXQrWdvjD87JNkQNJXXUCs7fviaZFvgRMC9nTuQkdg8pPFonV+4knU0dM7kp+e64YNhOPh8PtZ+/hVHdxzF7UvAa4hE1Rtx6JPBB6WH4PCh/Zh9W1B0JRijoUVqMn0H9SM6JlrrlKppOq+hNo4fO06FOwkMEOE7zjU33CbraCNQ6wbWarUybtw4srOzeeGFFygsLGTOnDnMmDEDCOxFiImJwWw2hzzYpsBitXLd6Ftg9C04HRV8v3oZzh0/EVtsJ6HEjV6AXkBCqYeE0kI4UAjrfmS3MpuiWCvlzVtgbJVCfEoHOlzZlcQW8mSGcHZi2UJaAy6jjl7j79Y6HKmGZB2tW4qicP2ooTAKPF4PXy3/khO5hfi8Ebj1saj6wJ8+txKNm2hwwKltkLf1Ryy+UxiMFZhjjcS2jCe16xW069C2ygl3UnhZ8+Eq/IbA0KuW3WM1jkaqqUv6RE6bNo3s7GwmT55MTEwMU6dODV4dZtCgQcyYMYNx48ZVeYxOp0On011+xE2INSKSIWMmwpiJAJSUlLBt43fY87ZjOn6UhJOlxDj8AJh8glZFDijKh135wDpOAkdMekqjTFRER+OLi8fcoiUJbVPp2LkrsXENexiCdH4+ZwUbFsyj9bFTAOR1SuHmlNCNfZXqnqyj9cNkNDFs7HAYG7jtqKjgx282cDzvCJ5SgU+Nxq00A0DoDDiNCUAC5aeg+BTs23UIg7oXk78Mvd6J3qxiaWYirlUiV/ZMIyWltXbJSZfF5/Px5fL/4nAkggGsPhvDxk3QOiyphnSiAU8qaLdXhOVud0XRExcXGZL88vP3seenH3Dn5xFps9Hc7sDsq9lLWmHWUx5hwms24jObEVYruogIjFHRWJo1Izo+jshm8Vhj4olsFk9ETDwGQ82+84Qyx4ZIq/xKjh8m5+N3ab4zD7M3sF2PokN5fDpdUjuFbDvh/vrBmRzDXbi+hqF8jxYUHGHLtzmUHDmFz2nCo4vFZ6jZibOK34VRVKDDi07nQ2dQ0SlgMOlQLEbMkRYim0URE9+MxKTmJLdKqvGJeuH+OdQqv/Lycj7/YCnlhUacypkdOSntSxl125iQbSfcXz/Qto7KYyKNXPv2qbRvnxq87fX7OJR/gMP7cik7eghRfAJzySmiyp3EVnhQ/GceG+lWiXS7ABdQds7n957+KQUE4DbpcZkNeMxGvBYzPqsFERGBLiIKJSoGU7NYImLiaZbYgrbtUjCYItDp5Nvscu3bvIH8pQtodbCQNmd9PzkeZ+JE/8HcEsLmVZKampSU1qTcdmZPqs/n49DBw+zfkYf9WBHuUi+qx4BfjcBjiELVG8+sa7Dg42fNru/0jwM4CRQAVJz+yUfxuzEIN3rhQa/zgt6HThEYTJxpeuOiSExKpG3HVkRFxmCyyDPZL9e+vP38sPgbnK5EvIbkYAdkUD1EWQsZccskbQOUakXugdWAVt/KPF4P+fvyOHJgDxXHChDFNowVFSgeD2aPF7PXj8Xjx+IN7VvCo+jwKHo8Rj0eo4LXqOAzGfGbTKhmC5it6C0W9GYritWKYonEEhGJJTKKiKhoIqNjiIlpRkRkNIYGMg6tPl5Dv8/Hjys/w/PNl7S0nblimwD2tYqiPONqhg8fR7PI0P9hk3sOwke4voZavUd9Ph979+wjf/d+So7b8ZT5EF49QigIjKiY8OlM+A2hHb+sV70YROBHhxcdPnQ6Pzq9CgaBXgGDUY/eaMBoVlAsJswRFiwRViKbRRITE0OzhGbExsZiMjaME37r6zVc9991HFifj4NWCL0huNzsKyWiWSnX3TKM5Jahny9Y1tG6JRtYDTTUN7VfVSmt8FJ0qgzbiUJKThZRXlKMu7QEn6MUnasCk8eJyevC4nVj8XqxenxYPX6sHhV9PbyTPIoOn0GH0IHQ6VB1oOp0CL0u8G/lbZ0OVX/6X4Mev96AqhhQDQrCYEAoBoRBAcUIihGd0YTOaESvGNErCnqjCb1iRDGaMJhMKEYzismE2WJBMZmxWq0kJDTD5fAAOoyKAUVvQK/Xo9Mb0KNDrzcExivqdKDXozMY0BkMgf9fYBxjWVkp337yLvGbNxNb7q2Se1675sQMGsXgAYPQ6+tuLGRDfY+GkmxgG7eG/h51uz0cPXyUokIbpSdLcJSW465w4XV68bsFwgdCNSBEoOn168z49ObAZUzrmF71ohd+dKjohAAEOtTT/woQAp0ucDu4DDWwjk6ATkWnE6APlDedAXR6XeBfgx69QY9e0WMwGtAbDCgmBcWooBiNGE1GjBYzJouRiIgI4hOicbn96NBjMOgxKEZMJiNGo4LBoEcxGS+p4Xa7PSz/aCmlh3w4lKrNaYSvkLgOZkZMvKlOm/mG/h4NBTmEQGoQDHo9cdFm4qLNXJGSeNH1hRB4fCpuj58Kl5uyUycptduoKLHhKTsFHieu0hKE04nO7ULvcWPweDB6vBh9PkxeP2avH7NXrTK04UJMPoGphmN865IbOHoZj/frA422qgdVr8Nf+X+dDqvHT8ez9oKXW/UcuLIj3UfezviOHS87dkmS6p7ZbKJDavtazTXr8/koPFbI8WPHOXXCTkVJGX63F7fDg9+jovoAf2Xja0CgoGJE1Rnx60zB2RUuRtUbUTFefMWLEad/atWbCQLD1iqHrhXW6FE6cbrBFpUNtTiz7PTyM822QNUpeA3xwS5Hr/qI0B0ldUAnBlx7a20Clhoo2cBKl0yn02E2GjAbDcREmmiZEA20A2r3zVMIgdPloqyslLLSUzjKSnFWlONylON1VOB1OVHdTvxuF3hc4PUGipWqolNVqPy/CNzWidN7EFQVvaqi96sYVBWDP3Bb8Qf+r6gCg1+gqKLGDXSoGFQwIMAPgYJena2ZiaL0TK4ddwe9Qjy5vSRJDY+iKLROaU3r0zMb1HYPntPpxH6yhFJ7CaUlpTjKK3A5nHgcbrwuD36vH7/Hj+pTEX6CDWjwOKwA0J2+rQveRugQ6AE9An2gedbpEQT+VXUKKoYqh+dDrXLPtKjlgSej34HVWsSAsdfQIXVoHUQmaUU2sJLmdDodEVYrEVYrSS2SNInB6/PhdDhwupx43C5cbicetxuv24XP7cbr8eLzuvB7PPh8HoTPi14PHpcXv+pHVVVUIRBCRVUFQlVRhYoQAlWoVRvs0//Xn+v/qkCn1xHVsy8DbxiFYqi7PwiSJIUXq9WKtbWVVq21mf/b4/VQUebA6XThdDhwOV14XC5cLg9elxuv14vP48Xn9eH3+lF9fnQIfF7/6boZ6KSFKhDi9G0BCHG6qRac3umKqNz7G7gb3elVz94fYE00c9OkUUREhv9QoaZINrCSBBgVBWNMTI0v49kUxjZJkiTVhslowhRvIq6G68s6Kl2Ouh8tLkmSJEmSJEkhJBtYSZIkSZIkqVGRDawkSZIkSZLUqMgGVpIkSZIkSWpUZAMrSZIkSZIkNSqygZUkSZIkSZIalVo1sG63myeffJI+ffowcOBA5syZc951d+7cyYQJE8jIyOCWW25hx44dlx2sJElSYyfrqCRJ0uWrVQP74osvsnPnTubOnUt2djYzZ85k5cqV1dZzOBz8+te/pk+fPixcuJDMzEzuv/9+nE5nyAKXJElqjGQdlSRJunw1bmAdDgcLFixg+vTppKWlMXToUO677z7mzZtXbd3ly5djtVr5wx/+QMeOHZk+fTqRkZF8/vnnIQ1ekiSpMZF1VJIkKTRq3MDm5ubi8/nIzMwMLuvVqxdbt26ttu6WLVvIysqqsqxXr15s2rTpMkKVJElq3GQdlSRJCo0aN7A2m424uDgU5czVZxMTE3G73djt9mrrtmjRosqy+Ph4CgsLLzNcSZKkxkvWUUmSpNBQLr5KgNPpxGQyVVlWedvj8VRZ7nK5zrnuz9e7GIMhPCdJqMwrXPOD8M9R5tf4aZGbrKOh05Teo+Gao8yv8dMytxo3sGazuVrhrLxttVqrret2u6uta7FYahVcTIz14is1YuGeH4R/jjI/qTZkHQ29cM8Pwj9HmZ90KWrcOiclJWG321FVNbjMZrNhsViIiYmptm5RUVGVZUVFRdUOh0mSJDUlso5KkiSFRo0b2LS0NBRFqXICQU5ODj169Ki2bnp6Oj/99FPwthCCn376iYyMjMsMV5IkqfGSdVSSJCk0atzAWq1Wxo0bR3Z2Ntu2bWP16tXMmTOHKVOmAIG9CJWHu4YPH05ZWRnPP/88e/fu5fnnn8flcnHjjTfWTRaSJEmNgKyjkiRJoWHIzs7OrunK/fv3Z+fOnbz00kusX7+eBx54gPHjxwOQlZVF+/bt6dKlCyaTiT59+vDBBx8wa9YsVFXl73//O8nJyXWVhyRJUqMg66gkSdLl0wkhhNZBSJIkSZIkSVJNhe/cDpIkSZIkSVJYkg2sJEmSJEmS1KjIBlaSJEmSJElqVGQDK0mSJEmSJDUqsoGVJEmSJEmSGpUG0cBu3LiRoUOHXnCdkpISunTpUuWnf//+9RRhdQcPHuTee+8lMzOTwYMH89ZbbwXvO3bsGL/+9a/JyMjghhtuYPny5VUeO2bMmGq57N27t9o21q9fX229yp/jx4/XaX4LFy4853bT0tIAWLduHWPGjCE9PZ2xY8fy9ddfV3n8J598wogRI8jMzGTixIlVJmT/uYqKCp566in69+/Ptddey+zZs+s0N4/Hw6hRo/jxxx+rLD948CDp6enV1v/uu+8YNWoUGRkZTJkyhYKCgir3v/322wwaNIhevXoxffp0XC7Xebdtt9t5+OGH6dWrF9dffz2LFy8OTVJnOV9+AGVlZQwaNIhFixZVWb5hwwbGjRtHRkYGt956K7m5uQAcPnz4vO/BjRs3nnP7+/bt45e//CVZWVlcf/31vP7664R6spNz5bh27VpGjx5NZmYm48aN4/vvv6/ymDlz5jB48GAyMjK49957OXjw4Dmf+80332TIkCE1isPn8zF27Fhmzpx56cmEkKylDauWyjp6hqyjso6ezyXXUaGx3NxcMWDAADFkyJALrrdx40bRr18/UVRUFPwpLi6upyir8vv9YtiwYeLxxx8XBw8eFF999ZXIysoSS5YsET6fT4wePVo8+OCD4sCBA+LDDz8U3bp1E3v27BFCCOHz+UTPnj3Fhg0bquTi8/mqbcfj8VRZx2aziTvuuEM89NBDdZ6jy+Wqsu1jx46JYcOGib/+9a8iPz9f9OzZU7z99tuioKBAzJkzR3Tv3l0cPnxYCCHE2rVrRXp6uliyZIk4dOiQ+Mc//iGysrJEYWHhObf16KOPiuHDh4uffvpJbNiwQQwePFjMmTOnzvL67W9/Kzp37ix+/PHH4PKjR4+K4cOHiy5dulRZ/8iRIyIjI0PMmTNH7N27V/zud78To0ePDt7/+eefi969e4uvvvpKbN26VYwcOVI888wz593+/fffL+655x6Rl5cnPv74Y9GjRw+xZcuWOs+v0p/+9CfRuXNnsWjRouCyw4cPi/T0dDFz5kxx8OBB8ac//UkMHjxYeDwe4ff7q70Hf//734sJEyac8z3rcDjEkCFDxLRp08SBAwfEV199Jfr37y/mzZtXpzkePnxY9OjRQ7z11luioKBAzJo1S2RkZIjjx48LIYT47LPPRO/evcXatWtFfn6+eOyxx8SIESOqPfehQ4dEenr6RetRpddff1107txZ/POf/wxZfpdK1tKGV0tlHQ2QdVTW0Qu51DqqaQP7wQcfiMzMTDFmzJiLJjp//nxx22231VNkF1ZYWCgeffRRUVFREVz20EMPiezsbLFmzRrRu3dvUV5eHrzvwQcfFPPnzxdCCJGfny/S0tKE2+2u9XaXLFki+vTpI+x2++UnUUuzZs0Sw4YNEx6PR6xfv1688MILVe7v27evWLFihRAiUEizs7Or3D98+PDg7+BsxcXFonPnzmL9+vXBZUuXLhUDBw4MeQ55eXlizJgxYsyYMVU+tKtWrRL9+/cXY8aMqVZ4//GPf4i77roreNvpdIpevXoFH3v77bdX+dBt3LhRpKenC5fLVW37Bw8eFJ07dxZHjhwJLps+fbp44okn6jS/Shs2bBDDhg0TV199dZXCO2PGDDF58uQqOd5www0iNze32jZycnJE9+7dxf79+88Zw9q1a0WfPn2Ex+MJLnv99ddD9tk9X47Lly8X/fr1q7Ju3759xcqVK4UQQrz33ntV3n+7du0SnTt3rta43XPPPWLSpEli8ODBF40lPz9fDBw4UIwcOVLzBlbW0trRqpbKOhog66iso5Uup45qOoRg3bp1vPjii9x9990X3TW+d+9e2rdvXz+BXUSLFi34+9//TkREBEIIcnJy2LBhA/369WP9+vX079+fyMjI4PqvvfYaEyZMAAJ5JCcnYzKZarVNr9fLP/7xDx544AFiY2NDms/FnDp1ijfffJPHHnsMo9FI3759mTZtWjCujz/+GI/HQ8+ePQG47777uPvuu6s9T3l5ebVlhw8fBqhyyKlTp07YbDaOHj0a0jw2bNhA//79+eijj6osX7t2Lb/73e+YPn16tffhli1b6NOnT/C2xWKha9eubNq0Cb/fz/bt26vcn56ejtfrDR46+vlztWzZklatWgWX9erVi02bNtVpfhA4VPT000/z5z//udp7b/369QwbNix422Kx8MUXX9C5c+dqz/Pyyy9z66230qFDh3PG0LVrV1577TWMRmNwmRDinK/9pThfjl26dKGiooJVq1YhhGDVqlU4HA6uvPJKAG6//fbgZ7CsrIz333+fK664gvj4+OBzfPrpp7jdbm655ZYaxfL0008zdepU4uLiQpLb5ZC1tOa0qqWyjso6WknW0TMup44qtX5ECL322mtAYJzQxezbtw+/38+ECRMoLCykd+/eTJs2jebNm9d1mBc0ZMgQjh07xuDBgxk2bBhLliyhdevWvPTSSyxevJi4uDgefvjh4Li0ffv2YTQa+c1vfsP27dvp0KEDjz/+eLBonc+KFSsoKyvjjjvuqI+0qvjggw9ISkqq8uGEwFinG2+8EVVV+Z//+Z9gQenatWuV9b7++mvy8/O56qqrqj13QkICAMePH6ddu3bB/0NgnNPZRepyTZo06ZzLn332WSBQgH7OZrPRokWLKssSExMpLCykrKwMt9td5X5FUYiNjeX48ePVxoGd67kSEhIoLCy8pHx+7nz5AcyaNYuuXbsyYMCAavcdPnwYs9nM1KlTycnJoVOnTjz99NOkpqZWWS8nJ4ctW7bwyiuvnHc7iYmJJCYmBm+7XC7mz5/P9ddffwkZVXe+HDt06MCzzz7L1KlT0ev1+P1+ZsyYUa1RW7BgAU899RQmk6nKWMuTJ0/y0ksv8c4777Bly5aLxvHJJ5/g9XqZMGFCnYy/qy1ZSxt+LZV1VNZRkHX0bJdbRxvESVw1ceDAARwOB08++SSvvPIKJ06c4P7770dVVU3jmjlzJrNmzWLXrl288MILOBwOFi1aRFlZGa+//jrjxo3jkUceYfv27cE8ysvLmTBhArNnzyY1NZW77777oicSzJ8/n4kTJ9Z6b8PlEkLw8ccfc+edd1a7LyEhgYULF/L000/z6quv8sUXX1Rb59ChQ0ybNo0xY8YET1w4W+vWrcnIyOCFF16gtLQUm83Gv//9byCwV0JrLper2u/cZDLh8XiCJxmc7/6fczqdNV43lPbu3ctHH33Ek08+ec77y8vLeemll+jXrx9vvvkmLVu25O6778bhcFRZb/78+QwbNqzaH4/zUVWVJ554AqfTyf3333/ZeVzInj17+Mtf/sLDDz/MggUL+M1vfsOzzz7L/v37q6x39dVX8+mnnzJx4kQefPDB4J6rF154gZtvvrnaH5tzKS4u5pVXXuGZZ56pk1zqmqyl9V9LZR2VdbSSrKMBoaij9dbAzpo1i8zMzOBPTk5OrR6/YsUK5s2bR2ZmJllZWbz66qvk5uaydevWOoq4Zrp168Z8Q4E1AAAgAElEQVR1113HtGnT+Oijj1BVlbi4OP7yl7+QlpbGPffcw3XXXcf8+fMBeO6551i1ahXXX389aWlpZGdn06ZNGz777LPzbqO4uJicnBzGjBlTX2kFbdu2jRMnTjBy5Mhq90VFRdGlS5fgYYV33323yv0HDhxg8uTJtGvXjueee+6823jxxRcpLCykX79+jBo1Kpjn2YcOtWI2m6sVRrfbjcViCRbRn9/v8XiwWq01ei6Px4PFYglx1GcIIXjqqaeYOnVqlcM8Zx/iUxSFIUOGcMcdd5CWlsazzz6LqqqsWbMmuI7P52PNmjU1fg/6fD4ef/xx1q5dy7/+9a/gHqK68u6779KnTx8efPBB0tLS+N3vfkd6ejpz586tsl7Lli3p0qULTz31FMnJyXz66aesW7eOLVu28OCDD9ZoW88//zy/+MUv6NSpU12kclGylja+WirrqKyjIOvo2UJRR+ttCMGkSZOqfHhr+u2j0s+/ccXHxxMbGxuywwa1UVxczKZNm6pMV5OamorX66VVq1bVYm3fvj179uwBwGAwEBERUeX+jh07cuLEifNub926daSkpHDFFVeEMIuaWbduHX369CE6Ojq4LC8vj5KSEnr37h1c1rFjxypTceTl5XH33XfTtm1bZs+efcG9HW3btuXTTz/l5MmTREdHs2/fPnQ6HS1btqybpGohKSkJm81WZVlRURFdu3YlLi4Os9lMUVFRcCyTz+fj1KlT5zwce77nqstDt0ePHmXz5s3s3r2bGTNmAIG9IX/+859ZsWIFb7zxBs2bN6djx47BxxiNRlq3bl1lT9bmzZvx+XznPHT2c16vl0cffZTvvvuO2bNnk5GREfrEfub48ePV9kydPaXSDz/8QFJSUpUxZ6mpqdjtdpYvX86xY8eCh2b9fj9er5fMzEzefPNNsrKyqjzv8uXLsVgswUbD7XazadMmVq5cyZIlS+oyTUDW0sZYS2UdlXUUZB09WyjqaL3tgW3WrBkpKSnBH7PZXOPHlpeX07t37ypjawoLC7Hb7VXeMPWloKCAhx9+uErB3759O/Hx8WRkZJCXl1flcNy+ffto06YNAHfeeWeVuc5UVSU3N/eCeWzdupVevXrVQSYXd65tf/nll/zpT3+qsmzHjh3BwwYnTpzgl7/8JR06dOA///nPBfcAqKrKvffey549e4iPj8doNPL111+TlpZGVFRU6BOqpfT09Cp7uJxOJ7t27SIjIwOdTkePHj2qzOO3efNmFEWhS5cu1Z4rIyODo0ePVnnf5OTkkJmZWWfxJycns2rVKhYvXszixYv57LPPaNGiBY888khwb05GRga7du0KPsbj8VBQUEDr1q2Dy7Zs2UL37t1rdNj16aef5vvvv+fNN9+s8se5LrVt25a8vLwqy/bv309KSgoAs2fPZs6cOcH7/H4/u3btIjU1lccff5wVK1YEf0dTp06lRYsWLF68mO7du1fb1qpVq1iyZEnw99m9e3cmTZrEG2+8UbdJniZraeOrpbKOyjoKso6eLRR1tMGOgXW73cFvWVFRUfTt25e//vWvbNu2jR07dvDoo49yzTXXaLJXsmfPnnTr1o0nn3ySffv2sXbtWl566SUeeOABRo4ciaqqZGdnc/DgQd577z2++eYbJk6cCMDQoUN55513WLNmDfv37+eZZ56hvLyc8ePHA+BwODh58mSV7eXl5dVoTEldONe2x44di81m46WXXiI/P5/33nuPJUuWBMfn/O///i9CCJ577jnKy8ux2WzYbLbgWKCzc9Tr9ZhMJl5++WUOHjzI6tWr+fe//13nY31q6uabb+ann37ijTfeIC8vj2nTppGSkkLfvn2BwFmZb731FqtXr2br1q1kZ2czceLEYFNx6tSp4JmjKSkpDBw4kMcff5zdu3fz8ccfs2zZMm6//fY6i99gMFRpdtq2bYvBYCAhISG4527KlCl88cUXfPDBB+Tn5/PMM89gsVgYPHhw8Hku9B48O8dvv/2WRYsW8cc//pGUlJTga//z93SoTZo0iXXr1vH2229TUFDA22+/zTfffBP83d5xxx0sWrSIpUuXsn//frKzs/F4PIwfP574+Pgqv6P4+Pjg7+18r+PZv0+z2UyzZs0axJ6uc5G19Aytaqmso7KOgqyjIa+jtZp0q44sXLiw2tyFn3zyiejcuXPwdklJiXjiiSfEVVddJbKyssQf/vAHUVZWVt+hBhUWFoqHHnpIZGVliYEDB4pZs2YF79u7d6+48847RY8ePcSIESPEqlWrqjx21qxZYvDgwaJnz57irrvuEnl5ecH7Xn311Wpzp914443io48+qtuEzqNnz57im2++qbZ88+bNYuLEiSI9PV2MHDlSrFmzRgghhKqqIj09XXTp0kV07ty5yk/lHG8/z9Fms4n7779fZGZmihtuuEEsWLCgzvM61/x+P/zwQ7X5C4UIzMk3fPhwkZ6eLu65557gROOVXn/99f9n787jo6rPxY9/zuyTZZIQlgCyhQQIsm+KgkWloOKCet1o1dq6tG632l73emn9qVSrt7Zqb4VK6+4tUhcURdwryp6whKxsgZB9mSSzz5zfH5OZJATIJJlkZpLn/Xr11XDmzJnvMeHhyfd8v8+jnnXWWeqsWbPUhx9+uE1dyh//+Mdt6hNWV1erP//5z9UpU6aoCxcuVD/88MMw35nfyQpwq6qqnnvuuW3qF6qqqm7cuFG94IIL1MmTJ6vLli1Ti4qK2rx+8803q88+++wJr9f6Hh999NETfu9DLWjdGcff46ZNm9TLL79cnTZtmnrFFVeomzZtanP+mjVr1EWLFqlTpkxRb7jhBrW4uPiE1z1RPDr++3j8a5GuAxsgsTQ6Y6nEUYmjqipxNNxxVFHVMPcmE6IHqKrKW2+9xRtvvMGRI0dITU3l/PPP56677oroI7Ls7GyeeeYZ9uzZQ1xcHPPnz+e+++5rs9BfCCGiiaqqfP/997z44ovtNo1FUrSOS0SniNaBFSJUK1eu5LnnnuPmm2/mzDPP5MCBAzz33HMUFhby8ssvR2RMe/bs4YYbbuDss8/mhRdeoLy8nGeeeYaDBw/y1ltvRWRMQghxKuvXr+frr7+mqamJo0ePRno4QdE6LhG9JIEVUc/n87Fy5UquvfZa7rnnHgDmzp1LcnIy9957L3v27DnhIvGe9vTTT3P66acH6y2Cf43hE088wdGjR9ss3hdCiGhw4YUXcuGFF/Kvf/0rWFM3GkTruET0kgRWRL2mpiaWLl3KRRdd1OZ4YLdxSUlJyAns5s2bufHGG0/42uzZs1mxYsUpu53MmTOHV155hdraWrZu3crvf//7Nq//8Ic/5Ic//GFIYxFCiEiJ1tWD0TouEX0kgRXd0tTUxEsvvYRer8flclFXVxdsMWe3209YiLqzEhMTefjhh9sd37hxI0Cndk+ffvrpwULoAR988AGvvvoqV199NYMGDWr3emuBUjb5+fnBQuu/+tWv+OKLL1BVlUWLFvHII4+0qfcohBAd6Y1Y2l0lJSXcfvvtuFwuXnrpJVJSUnjrrbe49dZbIz000Q9FbRktEf0aGxu5/vrrmTx5MnfeeSf33nsvQLDH8+rVq/F6vT3y2Tk5Obz00kucd955nerkkZCQwJQpU4L/U1WVt99+m5tuuolLLrkEg8HQ5vXj/xcogRIoZ/LQQw8RFxfHiy++yP33388XX3wRNaVrhBCxIZKxtDNWrlzJrbfeyu23387rr7/OPffcw/XXXx/pYYl+SmZgRZc98cQTnHbaaW266Jxxxhk88cQT3HfffaiqilarDb7m8/m46667cDqdHV47MTExGLyPt337dn7+858zcuRInnzyyS6Pv6ysjDvuuIOZM2dy3333BY97PJ6TvkdRFLRabbC/+KRJk3jssccAOPPMM7FYLNx77718++23nH322V0emxCi/4hULO2sX//611gsFsDfaOG6665rMzMcqXGJ/kkSWNElFRUVvP/++202MAGkpKRQXV3NmjVrWLx4cZvXNBoNL7zwQrc+96OPPuKBBx4gPT2dVatWkZSU1KXr2O12br/9dkwmE3/84x9RFAWAI0eOtPlH5HiBNbCBpQSti1QDzJs3D4B9+/ZJAiuE6FCkYmlXWCwWVFVl1apVnHfeeW1aikZyXKJ/kgRWdMmuXbvwer3Mnj27zfHALMGxY8e46qqrwvqZf/vb3/jDH/7AGWecwfPPP9/l+q+qqvLAAw9w4MAB3nzzzTZJ8JAhQ3jnnXdO+t5A4jp69GjA3y6wtcDsrclk6tLYhBD9SyRiaVepqsoLL7zAZZddFmwvKkSkSAIrusTn82GxWNolaoGge6Kd/t15vPTWW2/x9NNPs2TJEn7/+9+j03X9R/f555/nk08+4dlnn23Xa1uv13P66ad3eI2MjAyGDx/OunXr+NGPfhQ8/tlnnwH0Wu9qIURs6+1Y2h1/+ctf2iSvn332GWPHjg3+Qi9LCERvkgRWdMns2bNRVZWamppg16nS0lI+/fRTFEXB6/WSn5/P+PHjg+/p6uOlyspKnnzySYYPH86yZcva1QgcOXJkcAxHjx6lsrKSiRMnYjAY2l1rw4YNvPDCCyxZsoQxY8aQk5PTpmzLtGnTQh7Xfffdxy9/+UvuuecerrrqKoqKivjjH//I4sWL2yXGQghxIr0ZS1vz+XwnLVm1du1ann/+ed59993gmtd//OMflJaW8vrrrzNp0iTKysrYtWsXf/rTn3ptXEK0Jq1kRZd99913rFmzJrgzf+DAgVxxxRWsWLECu93O2Wef3a52a1esWbOGRx55BEVR2gU2RVF48sknWbp0KQCPP/44r776Kp9//jnDhg1rd60HH3yQd99994QBUlEU9u3b16mxffnll7zwwgvk5+eTnJzMJZdcwi9/+Uv0en2nriOE6L96K5YCfP3116xZs4Zt27ZRW1vLtGnTSE9P5/HHHw+e88477/DMM8/w9NNPc/bZZ1NSUsL333/PVVddxWeffcZDDz3ExIkTee6554IJbm+MS4jWupTAulwurrjiCh599FHmzJlzwnNyc3P57//+bwoLC8nIyOC3v/1tSI9mheiuK664gpUrV5KamhrpoQhxUhJHRTSz2Wx8+eWXYUuchQi3TteBdTqd3HvvvRQVFQV3bh/PZrNx6623Mnv2bNauXcv06dO57bbbsNvt3R6wEKfy1VdfodFoJHkVUU3iqIh2+/btY+TIkZEehhAn1akEtqioiKuvvpqSkpJTnvfRRx9hNpu57777SE9P5+GHHyY+Pp6PP/64W4MVoiPp6en8/e9/j/QwhDgpiaMiFmzevJmJEydGehhCnFSnEtitW7cyd+5c3n777VOel5OTw8yZM9scmzFjBjt37uz8CIXohBEjRnS5vJYQvUHiqIh2RUVFpKeno9FIs04RvTpVheC6664L6bzKykrGjRvX5tiAAQMoKirqzMcJIUSfI3FURLuMjIxOtegWIhJ65Ncrh8PRroSRwWBoV/RdCCHEiUkcFUKIk+uROrBGo7FdIWOXy9Wp7kRXv/0LHHvnojaF1ir0V8tmsGCmdAYRQvQN4YqjroNZeCtGhXT+ledm8JOLpcqBECL69UgCO2TIEKqqqtocq6qqYvDgwZ26TtZUOxN00095zr++2Y+qQmlFA7W1TZ0eayRotRosFjNWqx2v1xfp4fSIvn6Pcn+xL3CP0SpccTR1TAVnj19w0moHAF/sPEptg5Py6iaJo1Gkr9+j3F/si2Qc7ZEEdurUqbz00kvBP6uqyo4dO7j99ts7dZ067QEumnstGuXkKx02bivBanNT1+jE44mtHxCv1xdzY+6svn6Pcn+ip4Qrjjao1UyerGW05eQlkfIP11Lb4KS+0RVz3+/+8DPa1+9R7k90RdjWwFZWVgYfdy1evJiGhgYef/xxioqKePzxx3E4HFx44YWdumats54D9YdPeU5ivH+NWEOTu2sDF0KIKBHuOGrU+uPjt0e3nPK8QBy1Nsn6WiFEbAhbAjt//nzWr18PQEJCAv/7v//L9u3bufLKK9m9ezcrV67s1NqtQODdXpF9yvMscc2B1yaBVwgR28IdR+eO9Jfh2laRjcPjOOl5EkeFELGmy0sI8vLyTvnnKVOmsHbt2q5enpnDJrOpZDs7KnbxH5mXnnQZQWKcv+e8zBwIIWJNT8fRhenz+PLAd7i8LrZX5HD2sDNOeF4gjjbYXKiqesr1skIIEQ2itkrxWSNnAdDgaqSwdv9Jz7MElhDIzIEQQrSRmTqGofFDAPi29OTLCAJx1ONVsTu9vTI2IYTojqhNYKcNPR2Tzv+obHtFzknPa3n05UZV1V4ZmxBCxAJFUZh3mn/W9ZC1hKONx054XiCOgkwGCCFiQ9QmsAatnmmD/PUIsyt24/WdeFYgMHPg9vhwuGTmQAghWjtz6Ex0ihaAb0s3n/CcQBwFqJflWEKIGBC1CSzArLRpADR5bOTVnrh9YmDtFsgGBCGEOF6CIZ5pgycDsKVsJy5v+4otreOozMAKIWJBVCewWamZxOviANhefuJqBG0efUkpLSGEaOfsYXMAsHvsZFfubvd66zhqtUkcFUJEv6hOYHUaHVMHTQIgp3Ivbp+n3TmtH33JDKwQQrSXkZzOQHMqcOJlBAa9FpPBv8ygQZYQCCFiQFQnsAAzh0wFwOF1kFud3+71tjMHEniFEOJ4GkXD2UP9s7BFdQcob6pod04gltZLHBVCxICoT2Azk9NJ1CcAsOME1QiMBi0Gvf82pBasEEKc2BlDZwXraX97rH1JrcT45lqwEkeFEDEg6hNYrUbL9MFTANhVlYvL2z64BmYOZA2sEEKcWJIxkckDJwKw+dh2PMctyWpdklAIIaJd1Cew0LKMwOV1sac6r93rgXWwsoRAHG/r1s188slHfPzxh7zwwnN4PO3XUXeGzWbjkUfuo7y8LEwjFKL3BDZzNbqb2FWV2+Y1aQojTkbiqIhGMZHApieNItmYBJy4GkFwBlYCr2hl27YtjBgxisWLL+KCC5ZQUnKIAweKu3y9Dz98n7feeo2vvvpCmmaImJQ1YBwpxmQANh3XmSsxMAMrSwhEKxJHRbTSRXoAodAoGmYMnsLnJd+wtzoPu8eBublLF7TUMJRHXz3L5vBwrKYppHN1Wg2JVicNDQ48Xl+XP3PogHjiTJ3/Ma2qqsJoNJKWlgbAwYMHqK+vIz09o8tjWbLkUgBWr17Z5WsIEUkaRcPcobP46OBG8moKqbbXkGoeAIClOY42OTx4vD502piY34g5EkcljorwiIkEFvzLCD4v+Qa3z8PuqlzmpM0IvhZcQiAzBz3G5vBw3182YXN279FRZ8UZdTz1i7M6HXx3787m3HMX8sYbr1BVVcmGDetZtepVtFp/qSCr1cqbb756yhkAo9HITTfd0q3xCxFt5g6bzfqDn6GisunYVi5JXwy0LUnYYHOTkmiM1BD7LImjQoRPzCSwoxJHkGoaQLWjhu3lOW0S2MCjr0a7G6/Ph1YjMwf9naIoAKSmDsTr9TJkyFDWrHmbO+/8JQAWi4XbbrsjkkMUIiIGmFLISh1HbnU+35Vu5aLRC9FqtG2bwthcksAKiaMiqsVMAqsoCjOHTGXDoS/YV1OAzW0jTu/v0mWJb2mD2Ghzk5QggTfc4kz+3+A79egr0RSRR182WxPJySkALF58EQDx8QlkZ+/o8jiE6EvOHjqH3Op86l1WcmvymTxwIonSFKbHSRwVInxiJoEFmDHYn8B6VS/ZlXs5a9hsoH0bRElge0acScfYYUkhnavTaUhJiae2tgmPp+uBtyuys3cya9acNscKCvLaHLNa63nzzdfk0ZfolyYPnEiiIYEGVyPflm5h8sCJwTWwIMuxepLEUSHCI6YS2NMShjIkbhDltkq2l2efJIGVwNvf7du3l2HDhjN69BgA9u8vpqKinPvvfyR4jsWS1K1HX7J7VsQyrUbLmWmz+PTwl+ytzqPOWY/FbEFRQFXBKjW1+z2JoyLaxVQCqygKMwZPZf3BjRTUFdPgaiTRkND20ZfMHPR7Y8dmsG3bZnbvzkFVVazWelaseDa4nqurNm78hOzsnSiKwosv/pmzzjqTCy+8LEyjFqJ3nTVsDp8e/hKf6uP7Y9u4YPT5JMYZsDa5pCShkDgqol5MJbDgr0aw/uBGfKqPnRW7Oee0uSSYdSiAirRB7O/q6upITLSwYMH5Yb/2woWLWbhwMb/+9QNtHu0JEYsGxw1kXPJYCuqK2VS6lUWjzsXSnMDKk6z+TeKoiAUxt11/aPwQhsX7a9LtqMgBQKvRkCC1YAWQk7ODiRMnRXoYQsSEs5o7c1U7aiioLQ5uiJUlBP2bxFERC2IugQWYOWQaAEV1B6hz1gOt+3jLzEF/1tjYiNlsjvQwhIgJ0wZNIl7nr+bybelmiaMCkDgqYkNsJrCDpwKgorKzYjfQ0o1LlhD0b4EuL0KIjum1+mBN7ZzKvZjivIC05e7vJI6KWBCTCeyguFRGJp4GwPbybKBVNy4JvEIIEbLAMgKv6qXBeBDwLyGQHeJCiGgWkwks+DdzARywHqbaXhPsxiVrt4QQInTDEtJINQ0AwKXxL8nyeH04XN5IDksIIU4pZhPYGYOnBL/eUbErOAPbYHPJzIEQQnRCislfWN+lsQWPSUlCIUQ0i9kEdoAphfSkUQBsr8gJdpFxeXw43TJzIIQQoUo2+hNYh6+lnJEsxxJCRLOYTWABZg72VyMoaTiKqm8deGUZgRBChCqQwDZ5G4LHZDmWECKaxXQCO3XQ6cGv65Xy4Nfy6EsIIUIXTGA9TaD4AKlEIISIbp1KYJ1OJw899BCzZ89m3rx5rF69+qTn/utf/2LRokVMnz6dZcuWkZub2+3BHi/ZmIRO428m5lZaZmCllJYQIlpFWxwFSDJagl8b4/0zrzIRIISIZp1KYJ966ilyc3N55ZVXWL58Oc8//zyffPJJu/Oys7P5zW9+wx133MH7779PVlYWt956Kw6HI2wDB1AUpWXtltoYPC5rt4QQ0Sra4ihASnMcBYhP8AASR4UQ0S3kBNZms7FmzRoefvhhsrKyWLhwITfffDOvvfZau3O3bdvG+PHjueyyyxgxYgT33HMPVVVVFBcXh3Xw0BJ4rW4rBp3/dmQNrBAiGkVrHE1ulcCa4gMJrMRRIUT0CjmBzcvLw+PxMH369OCxGTNmsGvXrnbnTp48meLiYnbs2IHP52Pt2rUkJiYycuTI8Iy6lWRjMgB1zvpgLVhZQiCEiEbRGkcthkQUFAB0ZicgcVQIEd10oZ5YWVlJSkoKOl3LWwYOHIjT6aS2tpaUlJTg8TPOOINbb72VZcuWodVqURSFlStXkpiYGN7R01K/sM5RjyVeT7XVIY++RNDWrZupqalGVVWKi4u47bY72vwMd9Vzzz3LxRdfyNixWWEYpegvojWOajVaLIYE6l0NaAz+BFbiqAiQOCqiUcg/gXa7HYPB0OZY4M8uV9tAt2nTJl566SUeffRRpk2bxhtvvMEDDzzAv/71LwYMGBDy4LTajieIU83+Gdgmj41hCVoAGmxudLroLbAQuK9Q7i9WRcM9bt26mTFjRjN37lwA/uu/7uHw4QOMGze+W9fdsWM7n3yyniVLLuiz38No+P71tEjcW7TGUYBkUxL1rgbQ+9fYWiWORlw03KPE0a6Lhu9fT4vkvYWcwBqNxnYBNvBns9nc5viqVau4/PLLWbZsGQCPPfYYF154Ie+88w633HJLyIOzWMwdnjPCltZyfoq//EuT00NKSnzInxMpodxfNLG57BxtKAvtZB+UV3f/M4cnphFn6Px/p4qKCgYOTCYrKwOA4uJiGhutzJo1Fa1W2+XxNDQ0UFp6iIyMsUDsfQ87q6/fX2+L1jgKMDgxlUPWI/iaE9gmu5tEixldlP/jG2s/oxJHJY6K8Ag5gR0yZAi1tbX4fD40Gn9Aq6ysxGQyYbFY2pxbVlbG4sWLg39WFIUJEyZw7NixTg3OarXj9fpOeY7eYwp+7dPYAai1OqitbTrZWyJOq9VgsZhDur9oYXfbeeibJ7B57L36uXE6M0/MfwizvnMB4JtvvuO88xby5z+/SFVVJR9//BGrV7+G1do8u2S18vrr/+BUXYeNRiM/+9mtbY69/vprXH31daxf/3HzdWLne9gZsfgz2lmBe+xN0RpHAeI1/l/67a2aGZQcrSM50dipz+stsfgzKnHUT+Jo3xGJOBoQcgKblZWFTqdj586dzJw5E4Dt27czefLkdueOHDmSwsLCNsf279/PlClTOjU4r9eHx3Pqb7pF1yro6+2AjkabG5fLi0ajdOrzelso9xctPF4fp4hRPUZt/myP0rn/Tj6fisfjIyUlFbfbw5AhQ3n77be4885fAhAXl8Att9zR4XVaf3/+/e+vmTPnLBRFGwzYsfQ97Iq+fn+9LVrjKECS3r+fwOZtxP83T6HG6iDBrO/U5/W2WPoZlTgqcVSET8gJrNlsZunSpSxfvpwnnniC8vJyVq9ezYoVKwD/LILFYsFoNPLjH/+YO+64g8mTJzNt2jT++c9/UlZWxtKlS8N+A/H6OHQaHR6fB5/ODiSiAg12N0nxho7eLkJk1pl57KwHKGuqDOl8nVYh0WKmwWrH4+16yE6LH4RZ17nf7my2JpKT/ZthFi++CID4+ASys3d0eRxVVZU0NjYwZkx68Jh6qmkHIU4gWuMotDQz8OEDnQs8RtnIFWYSRyWOivDp1DbCBx98kOXLl3PDDTdgsVi4++67WbhwIQDz589nxYoVLF26lHnz5vHEE0/wl7/8hdLSUiZOnMg//vGPTm08CFWgmUGVvRqPxgb4d+g2NLkkgQ0zs87MmKTQSvjodBpSUuKp1TT1+m+e2dk7mTVrTptjBQV5bY5ZrfW8+eZrpwyeRqORm27yrzXcsuV7qqurefs1CBMAACAASURBVO21vwNQUnKIdevWceaZdcyePTf8NyH6rN6Mo66aWlBCi4Ota8EqBieqx0hDk9SCDTeJoxJHRXgoahT/+lNbG9pf2j/u+F8K6/YzNjGTPZ/5F4X/+tppTBwd/oQ5HIJBKcT7i0WRvMe//e2vnH/+IkaPHgPA/v3FPP/8//DMM39GUcKzrOSqqy7l6aefIiNjYp/8Hvann9G+7LtrfsTYx59ASeo4FpbbKvnd908D4CqYgbduMNecl8HiOeGvOxsO/elnVOJobOpPP6MR+eyIfGqYBZoZ2FptPpBHX/3X2LEZbNu2md27c1BVFau1nhUrng1L0K2srOCf/3yTmppqXn75ZS6++HLmzJGZAxGdfA4Hjbt2kTh/QYfntu3G5aapTuJofyZxVES7PpHABpoZ1LusKPgXrMujr/6prq6OxEQLCxac3yPXHzRoMLff/p/cffc9ff43a9E32AoKQkpgjVoDZp0Zu8eOMd5NExJH+yuJoyIWRHeBvxClNM8c2Dw24uL8vx3KzEH/lJOzg4kTJ0V6GEJEDVthQcjnJjdv5NIapRtXfyZxVMSCvpHAmpKDXydYvABYpY93v9TY2NiuILwQ/Zm7qgp3TU1I5waXEQS6cUkc7ZckjopY0CcS2DZrtxL8j7wabPLoqz9asuTSSA9BiKjjKCrs+CRaYqlX6y+03yAzsP2SxFERC/pcAqs3+wOuPPoSQvR3uubuXvai0JYRBJYQuBUbAFabW+p0CiGiUp9IYBP08eg0/v1oWoM8+hJCCABL1ngA7IWdm4H14AKNB7fHh8Pl7bHxCSFEV0VtAlv6/rqQzw00MwBQ9f5HXzIDK4To7yxZWQA4j5Tgtdk6PL9tM4PmyQCJpUKIKBS1CeyBv63GXV0V8vmBSgQerT9Iu9w+nDJzIIToxywT/Qksqopjf3GH5ycd140LpJSWECI6RW0CC9C0b1/I5waaGThpCh6TmQMhRH8Wnz4GRa8HQlsHmyIzsEKIGNFnEthAMwObtzF4TAKvEKI/0+j1mNP97bXtRUUdnh+vjwvuJ1CklJYQIopFdQJry9sX8g7YwMyBw2cHjX/pgDz6EkL0d3GZmQA49hejejynPFdRFJIN/koEOpNUdBFCRK+oTmDd1dW4KytDOrd1M4PgzIEEXiFEP2ceNw4A1eXCcfhwh+cH1sHqTLIGVggRvaI6gQWw54W2jKBtLdjmNojy6EsI0c/Fjc0Axd9i2xHCOthALViNtJMVQkSxqE1gTWlDALDldz6BNTd345LAK4To77Tx8RiGnwaEVg82uXk/gU8n3biEENFLF+kBnIxl0iQcZeXBdbBK8wzCyQSaGXh8HvRx0k5W+G3dupmammpUVaW4uIjbbrsDna7rP/YffPAutbU1pKWlYTBoWLjwojCOVoieYc7MxHWkBHtRQYfxNNhOVnGA4qNenmT1exJHRTSK2hnYpMmTAPDW1+MuO9bh+a2bGQTWbskSgv5t27YtjBgxisWLL+KCC5ZQUnKIAwc6roV5Mu+++w5Hjx7hhht+yqRJk/n9738fxtEK0XPMGf51sN6GBtzl5ac8N/g0SwFF75SJgH5O4qiIVlE7AxtIYAFseXkYhg7r8D0pxiSq7NUgm7h6hNdmwxXCLxMAWq0GXaIJW4MDr9fX5c80pA1FGxfX6fdVVVVhNBpJS0sD4ODBA9TX15GentGlcbhcLl566UVWr34dgJEjR/H+++936VpC9DZzcyUC8NeDNTT/vTiR47txNTaa8fp8aDVRO98RUySOShwV4RG1CawxdQCGtKG4yo5hy8sl+dzzOnxPoJlBoBtXg8zAho3XZuPAA7/GF0I7ynDSxMUxZsUfOh18d+/O5txzF/LGG69QVVXJhg3rWbXqVbRaLQBWq5U333z1lGXajEYjN910CwB79uyiocFKSclh9uzZxf79RSxZcgEjRyad9P1CRAv9gFR0A1Lx1FRjLywkad45Jz03sInL/0b/06xGm5ukBGNPD7PPkzgqcVSET9QmsADxWVm4yo5hz89H9flQOpgBCDQzcDd342qwu/H5VDSaU6+fFX1PYI1faupAvF4vQ4YMZc2at7nzzl8CYLFYuO22O0K+XlWVv62xXm/g/PMXcc45P+Daa6/gjTfWYDSaw38DQoSZOTOThs3VHXbkSjJYUFBQUYPduOqbXJLA9kMSR0U0i/IEdiK1X3yOt7EBV+lRjKeNOOX5gWYGLhyg8aL6tDQ63FjiDL0x3D5N2/wbfGcefVkSTVgj8OjLZmsiOTkFgMWL/ZsD4uMTyM7e0eVxJCQkAJCVNREAs9mMz+cjJyebOXPmdvm6QvQWc0YmDZu/x11ejqe+Hl3SiWe9tBotiYYErK6GYAIr62DDQ+KoxFERPlGdwMZNmBD82pa3r8MEts3aLb0D1RlPQ5NLEtgw0cbFBdtSdkSn05CYEo+ntgmPp+uBtyuys3cya9acNscKCvLaHLNa63nzzddCfvQ1btx4FEXB52u5F0VRUNXevTchuiqwkQvAXlxE4oyZJz032ZjUJoGV/QThI3FU4qgIj6hOYHUWC4bhp+E6egRb3j5SFi465fltunEZ/AmstcnF8EE9PVIRTfbt28uwYcMZPXoMAPv3F1NRUc799z8SPMdiSerUo6+BAwcxbdoMdu/OZvbsM6mtrUVRFGbOnB328QvREwzDh6Mxm/HZ7TgKCzpMYA83HEFjCHTjkgS2v5E4KqJdVCewAHETsnAdPYK9oON1sMfvngWwyqOvfmfs2Ay2bdvM7t05qKqK1VrPihXPdlhLuCMPP7ycl19+iQMH9nPsWCl//etfMZlMvT4zIkRXKBoNprGZ2Pbswl506oYG7btxSRztbySOimgXAwnsBOo++xSfzYbz8GFMo0ef9NzWzQzk0Vf/VFdXR2KihQULzg/7tYcMSePBBx8F/I/2UlLiqa1tCvvnCNFTzJn+BNZx+BA+pxON8cQbs4KTAXoHoEpN7X5G4qiIBVFf2M88bkKwj3dHbWVbNzPQx/kDrrRB7F9ycnYwceKkjk8Uoh8yZzavg/V6cRzYf9LzWpoZ+EDnlomAfkbiqIgFUZ/AauPjMY4YCYA979QJLLRUImjpxiWPvvqTxsZGzGYpxyLEiZhGj4HmGp72wpOX00pqVQtWMThkIqCfkTgqYkHUJ7DgXwcLYCsoQPV4TnluoJlBcAmBPPrqV5YsuTTSQxAiamkMBn8SC6dcB5ty3H4CmQjoXySOiljQqQTW6XTy0EMPMXv2bObNm8fq1atPem5BQQHLli1j6tSpXHLJJWzevLnLgzQ3l9NSnQ4chw6e8txAMwOf1g7IEgIhRHSJVBwNMGf428rai4pQvd4TnpN0XElCq811ylJJQgjR2zqVwD711FPk5ubyyiuvsHz5cp5//nk++eSTduc1Njby05/+lIyMDNatW8eiRYu48847qamp6dIgzZnjobn6gD0/75TnBmYOvBonaLyydksIEVUiFUcDAutgVacD59EjJzzHpDNi1pkAUAxO3B4fDteJk10hhIiEkBNYm83GmjVrePjhh8nKymLhwoXcfPPNvPbaa+3Offfdd4mPj+e3v/0tI0aM4K677mLUqFHs2bOnS4PUms3B6gO2DtbBHt/MQMq/CCGiRSTjaIB5bEbw61Ovg/XH0pZuXDIZIISIHiEnsHl5eXg8HqZPnx48NmPGDHbt2tXu3M2bN3Peeee1qRe3Zs0azjnnnC4P1Dzevw7WXlSIz33ypPT4ZgZOlxenW2YOhBCRF+k4CqBNTMSQNhQAxynWwSYb/Bu5pKa2ECIahZzAVlZWkpKSgk7XUjp24MCBOJ1Oamtr25x75MgRUlJS+M1vfsO8efO45ppr2LGj6/2ToWUjl+pyhVb+hVYzB7KRSwgRBSIdRwNMmf51sLbCgpOubU1u3k+g6KUblxAi+oTcyMBut2MwGNocC/zZ5Wob2BobG1m5ciU33ngjq1atYt26dfzsZz9j/fr1pKWlhTw4rbYlv06cMN5f/sXrxVmYj2Vi1gnfk6xNbNfMoMnpIU0XPQUXAvfV+v76mr5+j3J/sS8S9xbpOBqQMH481m++xltXh1pXg35Q+37bA8xtK7o0OtzoJI72qr5+j3J/sS+S9xZyAms0GtsF2MCfj68Xp9VqmThxInfeeScAEyZM4Ntvv+W9997jtttuC3lwFkvr68ZjGT8Oa+4+nIX5pKTEn/R9qXEplDdWBgOvT6M55fmR0vb++qa+fo9yf6IzIh9H/UyzplG6yv+1UnqIlHGj250zPGWw/3WdBzQe3D4kjkZIX79HuT/RFSEnsEOGDKG2thafz4emuSJAZWUlJpMJi8XS5tzBgweTnp7e5tjo0aMpKyvr1OCsVjteb0t/ZEPGOMjdR0NePtXltWiOm8kISNJbKKclgS0tt1I7NLFTn92TtFoNFou53f31JX39HuX+Yl/gHntTNMRRANWYgC4pCU99PVU7d6OfOqvd+ww+U/BrxeCgvLopqlp+9qef0b56j3J/sS8ScTQg5AQ2KysLnU7Hzp07mTlzJgDbt29n8uTJ7c6dNm0aW7ZsaXOsuLiYSy/tXHFkr9eHx9PyTTeNmwC8h+rx0JhfQFzWxBO+L8ngX7ulMfoT2LoGZ5vrRIvj768v6uv3KPcnOiMa4miAKSOTxu3baCooOOHribqWX/oVvZP6RomjkdLX71HuT3RFyIsXzGYzS5cuZfny5ezevZuNGzeyevVqbrzxRsA/i+B0+hf7X3vtteTn5/P8889z6NAhnnvuOY4ePdrpwHs809ixKM2bH05VTivQzEAxSDtZIUT0iIY4GhxLcz1YV+lRvI2N7V4/fkOsdDUUQkSTTq2+ffDBBzn99NO54YYbeOyxx7j77rtZuHAhAPPnz2f9+vUADBs2jL/97W98/vnnXHLJJXz11Vf89a9/ZfDgwd0brN6AqbmLzCkT2EDg1blA45X6hSKsXC4Xy5Zd1WZ2rLKygkceuY+LLjqfyy+/iD//+X/arXUUAiIfRwPMGeOCX9uLi9q9nqCPR6dogeYEVspoiTCSOCq6K+QlBAAmk4kVK1awYsWKdq/l5bXtkDVjxgzWrl3bvdGdQNyELOx5+3AcPIDP4UBjMrU7p30zA/kLIMLD6XTy298+woED+4P1OVVV5ZFH7icpKYkXX1xFfX09Tz75O7RaDbff/p8RHrGINtEQRwGMI0agGI2oTif2wgISpk5r87qiKCQZk6h21KAYnFjrJI6K8JA4KsKhUwlsNIgbn0U1gNeLvaiA+ElT2p1zfDMDWULQf23dupmammpUVaW4uIjbbrujTQ3OzjhwYD+//e0j7Y4fPnyI3Nw9vP/+BlJSUgC4+ebbeOGF5yTwiqilaLWY08di25eL/SQNDZKNluYE1kGT3Y3X50Or6bslgcSJSRwV0SjmIpFpzBiU5uoDtuNmKwKOX7slSwj6p23btjBixCgWL76ICy5YQknJIQ4cKO7y9XJydjBz5mz++teX2xxPTR3Is8/+ORh0wT+b0HiCdYVCRJPAkiznwQP43O3jZCCWKnoHKtBo9/Tm8EQUkDgqolXMzcAqOh3mzHHY9u456TrYBH18m2YGDTVufKqKplVLRtF5ToeHuhpbSOdqtQpNVhcNDXa83hN3+glF8oA4jKbO/5hWVVVhNBqDBd8PHjxAfX0d6ekZHbzz5JYu/Y8THk9ISGD27DODf/b5fKxd+3/MmjWny58lRG8IbORSPR6cBw9hbu7QFRBMYIMbYl0kxZ+4fKEIjcRRiaMiPGIugQX/Oljb3j04Dx3Ea7OhjYtr87qiKCQbk6iyV6MYHPhUlSa7m8Q4Cbxd5XR4eO0v3+Ny9u4MjMGo48e/OLPTwXf37mzOPXchb7zxClVVlWzYsJ5Vq15Fq/VvSrFarbz55qsnbaMJ/qLzN910S6fH/OKLf6KwsICVK1/p9HtF13i9PnZtPcKxkjrOWJBO6qCESA8pJpjT00GjAZ8Pe1HBCRLY5tq0eicoPtlP0E0SR0MncVR0JCYTWPP45jayqoq9IJ+EadPbnZPSKoEFsNokge1PAhsDUlMH4vV6GTJkKGvWvM2dd/4SAIvFwm233RH2z33xxT/xz3++ye9+t4IxY9I7foPotqOHavl6QyF11f5ZrYFpiZLAhkhjMmMcMRLnoYPYCwvgwiVtXk9u3k+gKP5asA1SSqtfkTgqollMJrCmUaPQmM347HZs+XknTGCTjW37eDc0uWBg9LVBjBVGk/83+M48+kpMNEfk0ZfN1kRysn8d1eLFFwEQH59AdvaOLo8jFP/zP0/x7rvv8Oij/48f/ODcHv0sAbYmF999XkzB3vLgsbTTLEyaMTyCo4o95sxMfwJbVITq86G02qQVnIFFSmmFg8TRjkkcFaGKyQRW0WoxZ46jaVcO9rzcE57T0swgMAMrMwfdZTTpGDLM0vGJgE6nISUlntpaQ693IMnO3tlu3VRBQV6bY1ZrPW+++VrYHn29/PJLvPfeWn73uyf5wQ/O69rARUh8PpXc7FI2f7Ufl9MLgMmsY+65Yxk/OS04ayRCY84YR93GT/HZmnAdO4ZxeMsvAIGuhgDondLMIAwkjp6cxFHRGTGZwIJ/HWzTrhycJSV4GxvRJrR9ZJgS3D3rBsUrgbcf2bdvL8OGDWf06DEA7N9fTEVFOfff31K6xWJJCtujr4MHD/CPf/yNG274KZMnT6W6uir4WmrqwLB8hvCrOGbl608KqSxrCB7LmjqUMxekYzLrIziy2GXOaFn3ai/Mb5vAGhNRUFBRm2dgJY72FxJHRbSL2QTWPCEr+LUtP4/EmbPavN6uDaI8+uo3xo7NYNu2zezenYOqqlit9axY8WyPzcx9881X+Hw+/v73Vfz976uCxxVF4euvt5zinSJUToebLV8fYM+O0uCx1MHxnLN4HGnDk07xTtERXXIy+kGDcVdWYC8qJHlBy8yXTqMjwRBPg6vRX9FFJgL6DYmjItrFbAJrPG0Emvh4fE1N2PL2tUtgj29mILVg+4e6ujoSEy0sWHB+j37Od99tb36018T11/+E66//SY9+Xn+lqiqFuRVs+rwIe3NDEr1By+z5o5k8czgaKaofFubMzGACe7wUY1JzAuuUiYB+QuKoiAUxG/0VjYa4cRMAsOe3rwfbbgZWZg76hZycHUycOCnSwxBh0FDvYN3bu/jsg33B5HXshEFce8scps4eIclrGJkz/PVgPVVVuGtq2ryW1KqZgcTR/kHiqIgFMTsDC2DOyqJx53ZcpaV46uvRJbUkre2aGcjMQb/Q2NiI2WyO9DBEN6iqSv7uMv69sQi3y79Jy5JsYv6icYxMHxDh0fVNreu/OooK0c85I/jnlmYG/idZqqrKRrk+TuKoiAUxPYURN771Oti2s7CBZgYgM7D9yZIll0Z6CKIbmhqdrF+zhy8+ysft8qIoMGPuSK65ebYkrz1InzYUTfNGWFthQZvXWnfjcnm8ON3eXh+f6F0SR0UsiOkE1jBsGNpEfzkSe35eu9dTWiewsgZWiKhWtK+Ct1dt5VBxNQBJA8xcfv0MzvhBOjqdNsKj69sURQlWI3AUHZ/A+mOsovGBzi3rYIUQUSGmE1hFUTCP96+DteW1T2BbNzNwuLy4ZOZAiKjjsLv59L29fPpeLk6Hv8XmlFmncdVNs0Kulym6z5zpXwfrPHIEr62l0H6b/QR6qUQghIgOMZ3AAsQ1J7Du8jI8dbVtXju+mYGsgxUiuhwsrOKtVVso2lcJQKLFyKXXTeXshRno9TLr2puC9WBVFcf+ouDxthtipZmBECI6xH4CO2FC8GtbXtt1sO2aGcgyAiGigtPh4YsP81j/zp5ghYGsqUO5+mezGT4qpcvXVX29262oLzGNGo1iMABgL2wpp9W+nazEUSH6IlVV2b7pEH//87fs2XE00sPpUMwnsPq0oWibqw8cv4xASmkJEX2OHKzl/17eSt7uMgDiEgxcdNVkFlw4HoOxa4VRfA4H2/7w/8i9/RYKvvk8nMPtNxSdDtOYdADsrTZymXQmTFqj/xxpCiNEn+Ryevh47R62fH0Ae5Ob3E05kR5Sh2I+gVUUJViN4PiNXMc3M5CZAyEix+fz8f1X+/ngrRwarU4AMiYO5pqfzWbU2NQuX9dedowdj/waS14Reo+Xvbula09XBcppOQ7sR/V4gsfblNKSiQAh+pS6Ghvv/GMbBwv9G2gTHVWYqr+J8Kg6FtN1YAPMEybQsOV73JUVuGuq0Q/w/2N4/AysrIEVIjKaGp1sfC+X0pJ6AExmHecsHsfYCYO7dd3K7O0ce+lFLM31YveNjGfcRdd0e7z9VaChgep24zh0EPPYDMAfS8tsFSh6p0wECNGHHCqq5tP39uJ2+5dfpVmLSPFsw3X5jyI8so71iQS2dT1Ye14e+rPOBto3M5AlBEL0viMHa9n4fi725l8g005L4oeXTSQh0djla6qqStH77+Bdtw6TCj4Fvjt9MD+47tekD+leUtyfmcZmgKKAqmIvLGiTwELzkyyrxFEhYp2qquzYdIgt3xwEQFF9ZFZtpSHpMMar7mZB1sTIDjAEfSKB1Q8ejC4lBU9tLba8fViaE9hAM4Mqe3Wwi4wQoncENgRs+/dBVNV/bPqZI5hzzphutYH1ud3k/OWPxO/aiwZw6hW+nj2BG677TxLNpvAMvp/Sms0YTxuBs+Qw9qL2G7nkSZYQsc/l9PD5h3kcKKgCQO91cHrZl+SNVTnvx79l1MCBER5haPpEAhuoB9vw/XftOnKltEpgZQZWiN5ht7n47IN9lBzwl7YzmnSct2QCozO7Fxjd9XXkPPUYlnL/Wq2aRC17FpzHLy5ZhkYj7U3DwZyZGUxgVZ8PRaMhOVCSUOeh3m7r4ApCiGhVV2Pj43d2U1ttB/zrXcdXfcnWmaO48bq7iTd1/clYb+sTCSxA3IQsGr7/Dk91Ne7KSvSDBgFtmxlY62XmQIieVnakng3v7aWpwf8L4+ChifzwsolYkrvXW91aXMj+557G0vwk5cBQI44lP+bmM+d3e8yihTlzPHWff4avsRFXWRnGYcPa7CeweRvx+VT5hUGIGHOouJqN7+3F5Qqsdy1miH0zuxedy88vuRaNElt/p/tOAttqHawtP4+k5gS2dTMD2XwgRM9RVZWcLUfY/NV+fD7/moHJM4cz97yxaLXdK3hy5KuNWN94nTiv/7rbxiWTddV/Mn3MmG6PW7RlCjQ0AOxFBe0SWPQOGuxukuINERidEKKzVFVlx3eH2fL1AcC/3jWjaise8wHqrruJn86ZG+ERdk2fSWD1gwahS03FU12NLX8fSfP8szKtmxk02h34VDXmfssQIto5HW4+/zAvWIZFb9By7kXju11lQPX5yH1lFfp/b0IHeLTw5fRRXHHtr0hLljazPUGfkoJ+4CDcVZU4CgvhnAXtunE1NLkkgRUiBng9Pj5bt4/iPH+3Q73XwaSyL9k/wsGkqx9kyuhRER5h1/WZBBb8bWWtm77FnpeHqqrBTVwBPp0dm8NDglkfwVEK0bdUlTfw8dq9NNT7WzanDopn0eWnkzwgrlvX9TmdZP/hcRIOHAagIU7DprkzueXKWzEZ5O9wTzJlZuKuqsRe5G9oEK+PQ6No8Kk+eZolRIxwOT2sf2cPpYfrAEh0VDOx8nM2Tx7ElcseZrAlMcIj7J6Yb2TQmrl5GYGntgZ3RQVAcPMBSDcuIcLtYGEV/3ptZzB5zZo6lCtumNHt5NXb1MSO3z0UTF5LU/Xsvfhy7rz2dklee0GgHqy7shJPXS0aRUOSvqUSgSSwQkQ3W5OL917PDiavAxsPM67mY76bN4mf/uyRmE9eoZMJrNPp5KGHHmL27NnMmzeP1atXd/ieI0eOMH36dLZu3drlQYYqbkLrdbD+agQpxrbduKSUlhDd51/vWsL6d/bgcfvQaBXOvWg8Cy4cj06v7da13XV1ZP/2wWClgfwRcXh+dAc3LLoEpQ8s/4n2OAotHbkA7IX+clrB/QR6B9Ym2RArRLSy1tn516s7qKpoBGCotYA0xzcUXrqU26/9OUZ933j43qm7eOqpp8jNzeWVV17h6NGj3H///QwbNozFixef9D3Lly/Hbrd3e6Ch0Kemoh80CHdlJfa8PJLPWeBvZqDo8Kge6eMtRBh4vT7+/WkhudnHADCZ9Vxw5SSGnpbUwTs75qwoJ/fJ5SQ2+GNGTnoiGcvuZfrovrNZK9rjKIAhbSia+Hh8TU3YCwtInD3H35rbesi/BlYmAoSISlXljXz4dg625lxnVO0ujJo91F91Ez8646wIjy68Qp6BtdlsrFmzhocffpisrCwWLlzIzTffzGuvvXbS97z//vvYbL1bMzCwjMCW334drCwhEKJ7nA43H/1zdzB5TU6N48obZ4QlebWVHCLvsd8Q35y8bhmfwpQbH+xTyWusxFFFo8Gc6V9GEGhokNSqmYHEUSGiT+nhOt59fWcwec2s3IJWn4ty7e1c3MeSV+hEApuXl4fH42H69OnBYzNmzGDXrl0nPL+2tpY//OEP/O53v+v+KDshbvwEALz1dbjLy4DjSmlJ4BWiS/yPpXZy5KC/OcHwUclccf30btd3BbAW5lH85O8w2/1/P7+ZPIj5Nz3C+OHDun3taBIrcRTA3FxOy1lyGK/d3rIhVu/EanP2+niEECe3P7+SdW/n4HZ5UVQfp5d9jc1ykKQb7uG8qdMiPbweEfISgsrKSlJSUtDpWt4ycOBAnE4ntbW1pKSktDl/xYoVXH755WRkZIRvtCEwt14Hm7cPQ9rQNs0M5NGXEJ1XdqSe9Wv34Gj+zX7itKHM+2Fmt+u7AtTs2sGxF5/H6PHhU+CLacO44scPMCSp75XJipU4CgRnYFFVHPuLSR7YPBGgQJ3T2uvjEUKcWG5OKV9/XICqgsbnZkrZlxxJszL+jsANAwAAIABJREFUR/czZVTslsnqSMgJrN1ux2BoW/cv8GeXq21SuGnTJnbu3Mm6deu6Nbiu/OOoG5SKYcgQXOXlOAry0C1cSGpc6wTWjU4X2eILgfsKxz/+0aqv32N/ur+CPWVs/CAPr9ffvWXewgymnTEiLBuqjm36hqpVq9D7VDwa2Dh7DD+5/j4GJMR3+9odicT3LlbiKEB8+hgUvR7V7cZZXEjqyBnB16wuq8TRXtDX71Hur3tUVWXbt4f4/sv9AOi8DqaVbiR/tJe5Nz7C+GFDe+RzW4vk9y7kBNZoNLYLsIE/m80tjxAdDgePPvooy5cvx2AwoKr+zjmB/+8Mi6VrjyZTpk2h/JNPsefnk5wcx/CUwXCguZmB00lKSs//4xiKrt5fLOnr99iX709VVXZ+d5ivNvhrgeoNWq740QzGT0oLy/UL3n+P6pdfQauCS6fw2dwJ3H/7IyTGmcJy/WgUS3EUIHFcJta9ubgPFDP62iXB4zZfo8TRXtTX71Hur/NUn8on7+9lyzf+7lpGdyPTSz9lR5aRa+98nNFDBob9M6NNyAnskCFDqK2txefzodH4M+7KykpMJhMWS8ujvl27dnHkyBHuuuuuNu+/5ZZbuPzyy1m+fHnIg7Na7cFZn87QjckEPsVdX0/53kKM+pYfnmp7HbW1TZ2+ZjhptRosFnOX7y8W9PV77Ov3p6oqX60vYPeOowDEJxq4+OqpDB6aGJa/P0Vr38b1/odoALtR4fOzpnHXsjvxOL3UOnvn72fge9ibYimOAhjGjIW9uVjzCxjc2HLco7FRVm7FaOheybTu6Ot/B6Hv36PcX9f4fD4+fW8fBXvLAYhz1TG1dAPfTRnANTc+SJLB3Gt5TiTiaEDICWxWVhY6nY6dO3cyc+ZMALZv387kyZPbnDd16lQ+/fTT4J9VVWXRokU8/vjjnHVW53bBeb0+PJ7Of9ONgbVbQMPevSTOnhD8c5O7vkvX7Aldvb9Y0tfvsS/e3/HdWwYOSeDC/5hMQqKx2/eqqiqFr70MX30DQINZwzfzz+DOK25Gp2j73H/L48VSHAUwjvVv5FJdLhwHSzBp4nD4bCgGJzVWB4PCsIGvu/ri38Hj9fV7lPsLnc+n8vm6fRTm+ps1WRwVTCr7jK9nDueGH/0XSXHmPv3fsrWQE1iz2czSpUtZvnw5TzzxBOXl5axevZoVK1YA/lkEi8WC0WhkxIgR7d4/ZMgQBgwYEL6Rn4IuKRlD2lBcZcew5eeRMu/M4GsuxYbb40Wvi9zMgRDRymF38+H/7aLiWAMAY8YN5PyLJ6A3hKfwdf5rf0Pz1b8BqEvQsmXBAu6+7Mdo+kCDglDEUhwFMI0d69+1parYCwuwJFhwOG3NzQxcUZHACtFfqKrK158UBJPXFFspWZVf8MWZY7n1unuJMxo6uELf0qnVtw8++CCnn346N9xwA4899hh33303CxcuBGD+/PmsX7++RwbZFYFqBLb8POK1ZrT4E9bARi4hRFu2JhfvvZEdTF6nnzGSi/5jctiS16J33gwmr5VJWrIXL+GOfpS8BsRSHNXGxWM87TTAXw822SjtZIWIBFVV+XZjEfty/DW4k+zljK/+gi/OnsQvfvTrfpe8Qic7cZlMJlasWBGcLWgtLy/vpO871Ws9JW7CBOq//BxfYyPu0lIS9Bbq3bXBwDvA0nc3igjRWY1WB++/lUN9jb+JwNQ5p3HxVVOoq7Ph83V+49DxDq3/AN/6TwCoSdSSt+hSbl18WbevG4tiKY4CmDLG4SwpwVFYSOqCH4CV5m5cMhEgRG9QVZXNX+1n93b/ngSLo5KJFZ/x9bzJ3HntHei0/fOJct+sXQGYx7ese7Xl7yPJ0LqLjAReIQLqa+28+9rOYPI646yRzP9hZljKZAEc++ozHO+8A0BDnIYd5y7kp4suDcu1Rc8zZ/rXwXobG0iz+//JUAwO6hulmYEQvWH7pkPs/L4EgARnDZPKPuXLMzP4xTX9N3mFPpzA6hItGIb7H33Z8vMYGOcvEC7duIRoUVPVxLuv76TB6k9GzvjBGM44Jz1syWvVtu+pf+1VFMBmUvj3OWfzi0uuDdv1Rc8zZ7Rsih1Q5i9FoGh81NgbIjUkIfqN7M0lbP3mIOCvNjDl2Aa+mjWC2667p9/v5emzCSxA3PjxANjz80lt1U5WunEJAZVlDbz3eja2Rv/fh3kLM5gxN3xdW+r25FDx0l/RqODQK3x+9kzuuPwnkrzGGP2AAehSUwGIL6kKHq+x10dqSEL0C3t2HOW7L4oBMLutTD+6gW+mDeIny36N2aCP8Ogir08nsObx/o1cPlsTg+q8gL+ZQU2TLZLDEiLiyo7W8/6b2Tjs/uU0Cy4cz+RZp4Xt+o1FBRx9/jl0PhWXTmHDWadz53/8ol8/7oplgVlYzaGjwWNWpySwQvSUvF3H+GZDIdDcpODoBr6bnMg1y+7HEifVP6CPJ7Bx4yf4S8AAySU1weNF5WWRGpIQEXf0UC0fvJWDy+lFo1FYeGkWWVPD13LQXnKIA88+hd7jw6OBDXPGcvvVd2PQS/IaqwLrYNWqauLs/smAssZanG5vJIclRJ9UmFvOl+vzATB4bMwo/YTtE4xcdN39DLIkRHh00aNPJ7DahIRgCRjjwWPB4yW1VVTU2SM0KiEi51BxNR/+czcetw+NVmHR5aeTOXFI2K7vLDtG4e8fx+jy4FNgw+xR/PSaX/XLEi99iTlzfPDrkVX+qhRerY2coqqTvUUI0QUHCqr47IN9qCrovQ6mH/2Eveka5l1zHyNSe68GdCzo0wkstCwjUPcfQmkuB6QYHGzOLY/ksITodcV5FXz8zh68Hh86vYaL/mMyYzLD1y/bXVNN3pO/w+Twr6ndOGMoy67+Ncnx8rgrUlxOT1iuYxg6FE1cPACjmx9mKXon3++VOCpEuBzeX8OG9/aiqqDzOpl+dAPFI71MuvpXjBsavomGvqLPJ7BxzeW0VIeDtPqWBPb7vWWoavfrWwoRCw4UVPHpe7n4fCp6g5aLr57CiDHh+23eY7Wy94nlmJv8Tza+mDqIS6/6LwYnJYbtM0TnPf2bT/j+y/24u/moX9FoMGdkAJBW4a9YoRgc7N5fTaNdyhIK0V1lR+r5eO0efF4Vrc/NtNJPOZLmYPiV/8nUUSMjPbyo1OcTWPO48cF1sBlVzTUMzU0cq7ZRUtEYyaEJ0SuOHKwN/lZvNOm49LqpDB2RHLbre21N7H3iv4mr85dV+vb0FBZc+StGDpTHXZHm9frY+u+DvL1qKwcLu/e435zp38hlqWpC7/ahSajDq3rYll8RjqEK0W9Z6+ysX+t/OqbxeZhaupGq1EbiL/85Z43LjPTwolafT2C18fEYR/h/e0lvXrulTSkHjYfvZRmB6OPKS62sf2c3Pq+KTq9hydVTGDzUErbrq14ve555EnNVLQBbx1uYdsU9jB+WFrbPEF2XPs6/RKSh3sH6d/bw0ZrdWLu4/j9QiUBRIa3ag6LzoB1QxmZZRiBEl7mcHta/sweHzQ2qyqTyr2hIqsV18U9YOHlKpIcX1fp8AgsQN8G/Dja5tB6NT0XRetGmHmNzbjk+WUYg+qiayiY+/L9dwQ1bF145iSHDwpe8AuT/4yXMh44AsDs9jtGX3sl0edwVNX5065lccMUk4hP9m+gOFVXz1qqtbP/2IF6Pr1PXMo4ejaLzdx/PrPX/v3bQEQpK6qixOsI7cCH6AZ9PZeP7+6ipbAJgbPV2vMZjVF5wHZfNOTPCo4t+/SKBNU9obivrdDHR5v8HXDeohNoGJwWH6yI4MiF6hrXOzrq3c3A6PCgK/PDSiZw2OryP9I998SmaTZsBKBmsx3TBzzh7/LgO3iV6k6IoZE4czLU3z2HqnBFoNApej48t3xzk7b9tpeRATccXaabR6zGNSQcgI5DAWmrB1MTmfTILK0Rnbf5qP4eKqwFIsxaR6sxl34ILuG7+uREeWWzoHwlsZss62FlN/n/ENQlWlDirLCMQfU5To5MP3sqhqbnD1oILx5M+flBYP6OxIJ+6N98AoD5eQ9H8i1gyY2ZYP0OEj8Go46zzxnLVTbMYOsLflbC+1s66t3ex4d29NIY4g2rK8K/HM5fWoFP9MVU78IgsIxCik/J2HSN7cwkASfZyMqs28dUZU7jlwisjPLLY0S8SWK3ZjHHUaAAGlzai1/hnD3SDStiWV4G7k4/ShIhWDrubdW/vwlrnT0jOOn8sE6aEr0kBgLu2lv1/fgZtc5etL8+Yxi2Ll4b1M0TPGDAonsuWTeP8iydgjve3oizOq+TNlVvI3nwYn+/US6oCG7lwuTjT56+xrRt0lMOVVo5WNfXo2IXoK46V1PHVxwUAmNyNTCn7gi+nD+WWK36BRlpth6xfJLDQsg7WVVzMjNRJAGgHlmJzO9izvzqSQxMiLNwuDx/9c3dwPdXMs0cxdfaIsH6Gz+Ui9w+PY7IHar2exs+X3oZGI0E3ViiKwrhJaVx3yxwmzxyOooDH7eO7L/bzzaeFp3yveWxG8GnW1Eb/TK6id6FJrmBzrnQ4FKIj1jo7H6/di8/nL5c15dhn7B5r4MIrfklinDHSw4sp/SiBba4H63Ix1zMcwL+Za0AZ38kyAhHjvB4fH6/dS3mpFYDJM4cze97osH6Gqqrk/e+fMJf7yzF9n5XEJZfdLUE3RhlNeub9MJMrb5zJoDR/e8rcnaXs2XH0pO/RxsdjGOaPn5YjNSQb/Ums7v+3d9/xUVX54/9fd3p6pZPQSUIghRCKgkqRIkhRwYJdP2tZYdeP634W27K66n78uurP1c+i6OK6uq6IiqAiRaQLQoBQAwkhIUB6QurUe8/vj0kGhoAEmUlIOM/HI8zMvXfmnJOZvHnPPeee0+E4W/cXy7m1JelneGYcsLpnHEgsWk95ZB0db/gv+nTy7TCvK8EVk8AG9O0Pevda7BHHKugU2BEAQ8cCMnPKsPpoxRpJammaprFm+QGO57mnsuqf2Imrx/VF8XFXVMHyLzDs2QdATjcz3Sb+SgbddqBD5xBuvC2ZsAj3immb1+RwIr/yvMcHDUgEoH5PJtcY3WNidWFllFsryW34AiVJkjf3jAMHPD1kfct3YNAXcuK6aYwdOKiVa9c2XTEJrM5iIaDhAoSqdWsZGZXq3h5chctYxc7Dpa1ZPUn6RYQQrP/uMLmH3GdFe/aN4rob4nyevJ7K3Il12XIAysL1FF47nbGJiT4tQ2o9ZouRSTcPxGTWo2mCVUv3n3e+2PDrJ7in0xKCuO0nUVBQFNBHn5AXxUrSeWxdd4T8I+5ZP7pUZ9Op7gCbhg/h3rE3tHLN2q4rJoEFiJoyFQC1pob4veUYFPcZWUOHAhl4pTZHCMGPa4+Qtcc99rBrbDjXTx+AXu/bP2t74UmOL3gbBbCaFTYNG8r9oyf6tAyp9UVEBzFu6gAAbFZ3V6fT0bRnyhgZSdh1YwBw7NrNEJd70Qp9h+P8dLAIVZMXxUrSmQ7sPknmT+75ssOsxcSV/Mj3aT14dPqDPj/ZcCW5ohLYwIQBBCa6L+Cq+/57hgS6z8jqo09yIL+Uqlp7a1ZPki7Knu3HydzuDoodu4Qw6eaBGAx6n5ah1tdz6K9/weRU0RRYOaQXj029TwbddqpHnyiGj3bP9VpRWsf3X2edc1xr5KTJKCb34ghDM93DBnRmG3XGQg7mnX/4gSRdafKPlPPDt4cAsDhrSCpcy9aBYdwy4zcEmI2tXLu27YpKYAGib54JgLDbGXagHgDF4EIXUcRPWXJNb6ltyD9Szo8/HAEgIiqQybOSMJkNPi1DqCr7XnsFyyl3grI+KYrbps4h0GzyaTnS5SVlaAz9EzsBcPRwGds35TU5xhAWRsS48e77h47Ss9L9X4mhw3HZmyVJDaoqrSz+YLtnxoHkwu/J7a6j/6RHiImKaO3qtXlXXAJrie1BSOMSbVt30csZAoC+o/sqWkm63FWW1bFm2QGEAEuAgRtmDsIS4Ptv8nsWLsSYkwvA3l6BJI5/iFgZdNs9RVG4dmJ/OnZxx8aMzfkcOceX+4gJk9AFuC/8GntABUAXXkJG7nHsTrXlKixJlyHVpbHi871Y690zDgwsWk9dUC3Vo2fKFQt95IpLYAGiZtzknpFAVRl7wD1eSx9SSV7lSYor61u5dpJ0fjarkxWf78NhV9HpFMZPTyQ0PMDn5ZRu3kDtitUAnIg2Un/NTEbKoHvFMBj1TLhpIIHB7rPta7/OorSoxusYfVAQEePdY6GD80vpXuxA0QnUUPfMLpJ0Jdu2PpfSoloA+pTvJFA7wU8jrmb2SLlMrK9ckQmsqUNHwq+9DoCg/UfpXOlOYg0dC+SSiNJlS1U1Vi3dT1Wl++rwkdf3o1sP358RtRcVUviPfwBQE6hjx/CR3DnyOp+XI13egkPMTLxpIHq9gsul8d0X+6ivc3gdE3H9ePTB7jO1o/e5zzTpOxxnq1zUQLqCHcut8FyfEFl/gu7Ve1k1pB+PTblLXj/gQ1dkAgsQOWUaitkCwPj9DWdho0/y48GTcjJu6bK05fscTuSfAmDg4G4kpnb1eRnC5SLrrdcwqBqqAqvS+zP3htky6F6hOnUN5dpJcQDUVttZ+eV+VPX0LAM6SwARk9zTAEUW19HzpANdQB37inOoszlbpc6S1Jrq6xys/eYgAEaXlQHFm9iY1IG7pz2G2eTb6xSudFdsAmsIDSVi/ATAvbBBTJEDxeCkTBwlv7jmAs+WpJa1f9cJ9u08CUC3HuFcPa6PX8rJ++JTAorccyJvTQzn/qmPyqB7hYsb2JmUYe4liYuOV7FxVbbXl/zw0WPRh4UDcNWeehACJaqAHfKiWOkKI4Tgh2+ysNa5v7wNKNnMiU4aKZMeonNEaCvXrv25YhNYgMgJE9GHuLu/rs20uru/5MVc0mXmRH4lm1bnABAWEcD46YnodL7/063LOYx9tXvc6/EORmIm3E+3qHCflyO1PcOu7U1s70gADmYWei03qzOZiJpyIwAdKp30LbC7l+g+WNAqdZWk1rI34wTHct2LFXQ/dYBA7QTHRo6XF235yRWdwOosAUTeOA2AqHI7/Y7Z0YdWsPXIETRNDiOQWl9VpZWVX+5H0wQms55Jtwz0y4wDms3Kkf97E50Au1EhIy2d20Zd5fNypLZJp1MYN3UA4ZGnl5s9nlfh2R826loM0dEADN9Th05RybVmUVFta5X6SlJLKyuu9UxtGGyvoG95Bj+kxPK7mXe2cs3ar4tKYO12O0899RTp6emMHDmSRYsWnffYdevWMW3aNFJTU5k6dSpr16695Mr6Q/g112Hs4F7P/arMOnSaoD7oKFnH5GTcUuty2F2s+HwvdpsLRYFxUwcQERXkl7KyP1iIpdp9xey6pI48MuUeOe7VT9pqHDVbDEy6ZRAmsx4hYMXn+yg6XgWAYjAQ1XgyoFolLt/WsDKXHEYgtX9Op8qaZQfQVIFOc5FYtJ79vSzcMOUROQTLjy4qgX3llVc4cOAAH374IfPnz+ett95i5cqVTY7Lyspizpw5zJw5k2XLlnHrrbcyd+5csrKyfFZxX1EMBqKm3wxAeK3KwBwrhugTbDlwspVrJl3JNE2wZtkBKsvc07qNGN2HHn2i/FJW5fZtKDt2AnAo1kLKdfcTHuz7qbkkt7YcR8MjA5kwIxGdXsHl1Pjmsz0Un3QvdBE6/CqMnd3Lyg7bW4choIqNOQdbra6S1FK2fJ9DZbk7Vvcr247TUkvtiKkkdvf9hbbSac1OYOvr61myZAlPP/00CQkJjBs3jgcffJCPPvqoybFff/01I0aM4M477yQmJobZs2czbNgwVqxY4dPK+0pI+lDMsT0AGLqvHhM2dhXtw+mSk3FLrWPb+lzyj7i7aOMHdSYpvbtfynGdOsWJD94D3FNmHUkbzaiEOL+UJbWPONq9Z6Q7idUpOOwqX3+6h9KiGhS9nuipMwAIr9UYkGujTJfNybK6Vq2vJPlT7qFSDuwuBKBDbT5dag6xbnAcd187vpVr1v41O4HNysrC5XKRmprq2TZ48GD27NnT5NgZM2bwxBNPNNleV3d5BjJFp/MsMRtk00jNsqJG5LPnSHkr10y6Eh3aW8Tube4LYDp3D+WaCf390p0vhODQ3/8/THb3FbPfp8Ty8PU3+7wc6bT2Ekd79o1m/PQBDUmsi+X/yaS8pJbgIemYurtnLBi6rw5T+Am27D/eyrWVJP+orbaxbsUhAMyuOhJKtrAtIYzZN/wXOp0cguVvzU5gS0tLiYiIwGA4PZ4jOjoau91OZaX3eNE+ffoQF3f6LE52djZbt25l+PDhPqiyfwQOSCQgPgGAtIP1BJtL2XAwp5VrJV1pik5Use47d0AMDjUzYcZA9Ab/XGtZsnoFxiNHAcjoH8ykcf+FRY7X8qv2FEd79e/AuKkJKArYbS6WfZJJZbmV6Ok3ARBSr5F0tIYtx3fJubWldkfTBN9/nYXd5gIhGFC8kdJIjdBRd9BdLrndIpr9v5XVasVkMnlta3zscDjO9RQAKioqmDNnDoMHD2bcuHEXVTm9vmUnSeg861aOPj8fk0uQvr+OdV33YncNI8ji26u+G9vV0u1rSe29jf5on7Xeyeql7gsBDEYdU25NIjTM4rPXP5P9xAkqPl+CHigL11M39EZSe8d49rf39w9ap23tLY7GDXSPeV219AA2q5Pl/8lkxl2pWHr3xpabS/qBOvZcd4RjJbX06Rbm07KvpM9oe21jW27f9k15nDzmXlimR+Vegp3FbEgbxrzhwz09Zm25fc3Vmm1rdgJrNpubBNjGxwEB577go6ysjPvuuw+AN99886IrFxrasheSRKQNovrqqyjfvIWkbCu7euexP7+CCcN7+6W8lm5fa2jvbfRV+4QQrPpyO7U1dgCm3ZZK//jOPnnts2lOJxv+9hpGVcOlg3WDE/h/N92E4RyBqL2/fy2tPcbR4aP6EGAx8dWnu6mvc7Ds35nMmHErJ/76MoE2weDCk2w8nMOQgdf4pfwr4TPa3tvY1tp3PL+SbRvcvVehtlJ6V+zi+8Ed+MOdjxIZ2nSmmLbWvrai2Qlsp06dqKysRNM0zyTqpaWlWCwWQkObrjBRXFzM3XffjU6n41//+hcRERd/Sr262uq1bGFLCL9xOmU/bkWvaYw4WMHn6mZS+3TA6MNuXL1eR2hoQKu0r6W09zb6un17dhznUMMCGompXenaI4zKSv+MdTz68T8xNqy2tXlgOHdNfICaaqvXMe39/YPTbWxJ7TWOxvaNZPSkOH749hA11Ta++KGCtH6JGLL3k3agng8itnC0YCDhwWaflXklfUbbaxvbYvscdhdLPtyB0AR6zUli0QaOdDcxaMz96FS84nZbbN/Fao042qjZCWxCQgIGg4Fdu3aRlpYGQEZGBoMGDWpybH19PQ8++CAGg4EPP/yQqKhfNv2Pqmq4XC37puujOxI26hqq168jPs9ORo+d/O2LHvx6ejJ6H69+1Brta2ntvY2+aF9ZcS2bVmcDEBEdyIgxffz2O6vLOkj96u9RgGOdjIQNu5WYyIjzltfe37+W1p7jaHxSF1wujY2rsqmttrMjcDgphjwszjpSi7N4+dMNzJt1DcE+XojjSviMtvc2tqX2/fDtIapPuRfoiCv9Ec1Yx+G0cTweHy/jaAtrdkYWEBDA9OnTmT9/Pnv37mXNmjUsWrSIe+65B3CfRbDb3d2f77zzDgUFBbz88stomkZpaSmlpaXU1tb6pxU+Fj11OppRjwKM23eSXNc3LPxmD5q8EEHyMadDZfWyA6iqQG/Qcf20ARiNer+UpdbXcfSdv6EANpPC1pQ0Zg69PC4IulK09zg6cHA3rhrbB4C6epWMnlOw6QNJO1RDpHMFr36xGavd1cq1lKRf5lhuOYcbeso61xyhS00ua1NieGj8La1csyvTRZ1SnDdvHomJidx999288MILzJ0713NBwahRozzzE65atQq73c6sWbMYNWqU5+fFF1/0fQv8wBAWTuSEGwDoXO7i9h+Pkl/7Bf9cvUdeTSv51KY12ZxqmAD76rF9ieoQ7Leyji5aiKnGXdb3KR15eMJdcrWtVtDe42hyegzDR7uvG7ARwM7uE1CVAKZsLaNr+VJeX7pZzrEttTkup8rGVe6eMpOrnv6l29jVN4ixYx8k0Gy6wLMlf1DEZZyRVVbWtdppd6GqlPznY6p+cC/daDUpLB/Wmd49bueO65Iu6bUNBh0REUGt2j5/a+9t9EX7cg6WsPqrAwD0jotm/PREvyWU1bt3UvSW+wKgAz0tBE6bw/hBiec9vr2/f3C6je1da72HGZvz+GljHgAWVy0JxZuItBaxq08wBf1v5bfTrz7nhYPNdSV9RttrG9tS+37acJSMLfkAJBatx6g7RuYNN/HwuMnnfU5bat8v1ZpxtP3O7XCJFL2eTrPvpsNtdyAUCHAIbt5cSFnWP1myJbO1qye1cdWnrKw/Y77X6ybF+S151ZwO8j58H4DaAB2Hkkf9bPIqSb6QdnVP0q5yr3BoMwSzq9tEDnQcSeJRJ4m7P+bd5ZvksCypTagsr2PX1mMARNafoEPdUX5I7ceDoye1cs2ubDKBvYCIcePp+uvfoBkN6DWYuKOc+h/fZ+n23a1dNamNUlWN1V8dwGFXURS4fuoAzD6ea/hMJ5Z9iaXafWXsxsSO/HrcTL+VJUlnSh/Vk7FT4rE0XLhVGNqXrT1mEFjblcTN/+LDZevlsCzpsiaEYMN3h9E0gU5TiSvdyt4+Qcwcd/8l9SBIl07+9pshJCWVXk89hzMkEIDhB6vRrXiHb3Zsb+WaSW3RTxuOUlJYA0D6qF507u7bCd7P5CgtoXbVSgAKOhrpPfRWggPkeC2pZSiKQv+Bnbntv9KJG+Se19ipt3Cg0zUUBoym77qlfPbV6laupSSd3+F9xZwsqAKgR+UoI/BqAAAgAElEQVQe0NVSkjKGfl06tnLNJJnANpM5Jpa4P76IvVM0APHHrAR99i7fbdvUyjWT2pKCoxXs3lYAQNfYcFKHx/q1vJwP3kWvaqgKbEtMYEpqil/Lk6RzCQg0MWZyPDfelkxYhHvOyMrAruzvMIXgH/fx9WfLWrmGktSUzepky9ojAAQ6quhZuZfNiR2577obW7lmEsgE9qIYwiNIfO5F6vv1AqBruZOofy9i1YbvWrlmUltQX+fg+68PAmAJMDLuxgR0Ov/NAlCzeyeGQzkA7OofxE3X3SFnHZBaVfeeEcx6YAhpV/VAQaDpDORHDKbigMo3//iitasnSV62rsvFZnUCEFe6laJoPbEjbiXIInuxLgcygb1IOrOZ5CefpTrdPQl5WJ1Kl08+5fvvFrdyzaTLmRCCtV8fxFrnDoZjJscTFOK7VYnOpjkc5H34D8B94VZx4rXEd/PP0rSSdDEMBj1Dr+nFrAeHEhjkXka3zhzBseIIPnv9K2w2ZyvXUJKg6HgVBzMLAfecr+G2Qn4cGMeUlNRWrpnUSCawv4Ci0zHkoTlUXH89mgJmp6Dr59+y7uO3UZ2OC7+AdMXZ/VMBBUcrAUhK706Pvr9sVaXmKlz+JeZq94T3GwZ24IHrpvm1PEm6WJHRQdz92PV07FuPXnOAolBmD+OjN9axbU0WtTX21q6idIVSVY31Kw8DYFAd9C3bzp4+QUwffafsxbqMyAT2Egy/dTZl02diNyroBXT9YTu7n3iUHYsX4qz3zzr2UttTfLKan9YfBSC6UzDDr+3t1/IcpSVUr2y4cKuTkZjBtxAa6L+zvZL0SymKws233EDXa1TC7HkAODGyc0cRH729hRX/yeBEfqWcqUBqUXt3HKei1P1/eJ/yDFSDnRODriVB9mJdVmQCe4lGTp5M6cz7KQ9xTxMTUu8idNVmsp6YQ8aiN7BVlrdyDaXWVFttY/XS/WiawGjSc/20AegN/v2zy/1gIXrNfeHWlsQ4ZgwZ4tfyJOlSTRk5ieBp3eng+IHIuhMACBTy8mpY9kkm/1mwhX07T+CQy9BKflZTZWP7pjwAQm2ldKs+xKbEDtw/emrrVkxqwtDaFWgPxowZxeG+A9jwzSf0zd1L10o7ZqeGefNujv64G2tSf+Jm3EVQt5jWrqrUgurrHCz/TyY11e6u0GvG9yM8MtCvZdbs3onukHu5w139g5g+8g50sstLagOmpoxjc0RHNv70Ff0O7cRU25uikL649GZOVTnZuCqbrWtz6J/UhYGDu9Gxc0hrV1lqhzatycbl1EBoxJf8SGG0kS7ptxAWaGntqklnkQmsj/SPjaL/I4+RlV/O6jVL6X00gz5F9eg1CN59mBO7n6W+Xyy9p99GxAC5ClJ7Z7c5+frTTE5VWAEYek0v+g/0b/eT5nCQ/+E/MAE1ATpOJozijtiufi1Tknzp6h5JXN0jiR0Fh1m14xt6ZX9Nh5LOFAXHU2OJwukS7N95kv07T9ItNowR1/UlqlMQOjmhvOQDRw+XkZft7jWNqTpIkLOClQMH8Ich6a1cM+lcZALrY/E9ooh/4AEOHbuJb9Z9Q2zeNhKO12DQIDD7GEX/7xXyunUg4dbbMPUbCEY5NrG9cdhdfLN4L+Ul7jFUqcNjGDzCv/O9AhR9vRRTw4VbG+WFW1IbNiSmP0Ni+pNVeJIvt6+g85F1DDwWQFlgHMXBPRGKnhPHqljyYQaKAh06h9A1NpyuMeF07h6G2SL/a5MujtPhYtMad++V2VlH7/Jd7OkTyJRrZsterMtUm/wrbxzQ774RKIpy2V0ZGBcbQdzdd3Lo2GS+2rSGrgVbSMo7hcUpsJwo5ehrf0PTKbhiOhMxKJXIQYOx9OyFote3dtWlS+Byqqz4fB/FJ6sBGDi4K8Ou7e33z6ejpISqld+hB451MtI5eToRwQF+LVOS/C2+S1fmTX2A/JJKPvlpNWF5W0nKzaBO34fjoXHYjcEIASWFNZQU1rB7WwGK4r5YsjGh7RIT5telmqX2YfumfGobhnv1L9uGw6RyLHEks2K7tXLNpPNRxGV6eeeLv/8GIcRZyer56fQKBoMeg1GHwaBDb9C5Hxt0GIxnPDbqMBr1GEx6jEY9xnPcGow67+0mwyVPOH/oWCWfb91A9PFNpOWVE1KvNTnGaTKg69ebjsnphAxKxtSh7S5VZzDoiIgIorKyDperaVvbunO1T1U1Vn6xj/wjFQDEDezE6MnxLfLl6vCrL0HWYVQdLL52AM/c/jv0ul/erdre3z843cb2rj29hyfLavn3tg0o+ZtIzyvFUh/OqYDOVAZ0psrSEVV37kQ1ulMwXWPC6dAlhMjoIMKjAjAYLv+TBe397/ByaV95SS2fLdqBEBBdV0BS4fesTuvA7Luev6QTAZdL+/ypNePoZXsGVlUv7s3WVIFDdeHw09SBBkNDUms6ndSaznhsMhnO2u9OgE1mPQajnugAI3MmTOBY6VV8tXsHjrLd9KwvokdpPV3KnOgEGB0u2H+Y8v2HKedjbKFBWOIH0HlwOgE9e2GIjEK5hKRE8h9NE3y//KAnee0dF811N8S1SPJas3sXZLnnLNzVP4jJI269pORVki5XXaOD+d3kGygsv5bPftxJUeEOetQfp2f5IRKOubDrIz0J7amAjqg694pJZcW1lBXXel5HUSAsIoDIDkFERgd5bsMiA9DJv50ritOpsn7lYYQAneaif+k2CqONRKXOkL1Yl7nLNoEdNyUBq9WJpgk8OYACivsflDMea0KgujRcThWXS3PfP+Oxy6WhnnHf6VBxOlVcDrXZ34oan2utv/RVYiIIQK+/CpdBz6FOKns72lDUWgJddYRYbQTbbBhUBwbNgfFAKeX7lqLXnCiKhhoWRECXjnTu04fg2FjM3bqhDw277IZQXEmEEKxbcYgjWaUAxPaOZNzUAS3yH6HmcHDsw/cx4r5w61jcVdzRu4ffy5Wk1tQlKoj/nn4tQcET2HmgkN15x1lWkoWu5CAxNfn0KM5iUKFKnTmyIZntzClLR1x69zUHQsCpCiunKqzkHirzvK5OrxARGUhkhyDCIgMJCbMQEmomJMxCUIgZvbxYrN0QQpB9oISt63Kpa1g0o1fFbsxqLZsS45k3dHgr11C6kMs2gb1qdN8WOe2uaQKX053QOh2q+77j9OPGH4fjzMcu78dOFafdhdPpPk5TLzwqQ1UFquqe09CIGTDjIIryACi/0Je+GmA36HYWoRcF6IUTnU5gNBkIDArAHGTGHByAOSQQS6AZk9mA0WzAbNZjMhsaftz3jSY9er1OJsC/kBCCTatzOLS3CICuMWFMmJHYYv/RFX+9FGPjiluDonngmuktUq4kXQ5MRj1xsRH06RoGJKJpgoLSGn7Ky2ZL4V4sxYeJqcilV9FBQgo17PpA6swR1JrCqTM13oaj6dz/FWqqoLy0jvLSpgvRKAoEhZgJDrUQEmYmJNTiTnDDLASHmgkMMmEyG2QsbQOKT1az+fscik9Ue7ZF1xUQe+oAe/oGMunqO2QvVhtw2SawLUWnUzxJna+oquaV/J5Ohl04HSqqqqHX6TlVWY/V6sRhc2G3u7DbzrzvumAirOn0aOhx0jA/nQuqqoAqB+AAqppVX0UBg7FxvPAZ44SNeozGxm2n73v2mc563LjfpMdiMRJgMV30UJC25scfctm30z3xeseuIUy6ZRAGo//H1rmqq6nZ8ROnGi/c6mwkasAUOoS1/zGdknQ+Op1Cj06h9OiUBqQhhOBExSk2H93L8YJ9GMoLCas9RVR1GR2rXMSVquiEgtUQTJ05nFpTBHUNSW29MQTtjDG1QkBttZ3aajtFx89Tvl4hINBEYJCRgCATgYEmAoJMBAQZCQwyNewzYQ4wYLEY/b6oieSttsbOtnW5HN5f7NkWEqgjpmgznUsOYTUr5A4Ywaze/p81Rrp0V3wC6w96vQ59gA5LwLkvKGjuwG6XU8Vud+Gwuc/42mwOjpWWU1BWSkVVBWp1NUarHbNDw+zQY3DpUYQRl67xx4RLZ/QKwuciBJ5kGy59iMTZdDrlrKRYj8Hk/Vhv0KHXK+j1OnT6hvsGXcNj93a9XufZZvAk0zpP8m006TEY9Oj0LTMrxabvs8nYkg9AVIcgpsxK8ukXobOp9fXU7sqgetuP1GcdRNEEekDVwcaEPjw7YqTfypaktkhRFLpHRXBr1DUw5BoANE2joKKc/UX57C4vwFqSj6mymIiaCqKqi+le5SK8WEMATp0ZmzEYmyEYmzEIq6HxfjA2Q5BnSEIjTRXU1dg9XdIXYjDoMAcYMFuMmC0GzBZ3Ymu2GDAHGAkINBIZGYTTpaJviHEm8+lrMPQG2XvWHE6nSua2AnZtO+ZepAAwKBo9q/YSk5OJDve2TQOjeODam1qzqtJFkAnsZazxzGdQ8Okg2aN3NBDndZzN6SSr6ASHSo5RWFaAduoEhppqLPV1BFttBNudBNsULFYdZocBVTGhehJcA5rOgKoYUBtutTPuq7qmjxvvozTv7IGmCRx2FYdd9eWv57w8Z5SN7pkn9HqlISnWnXH/9O2ZSbNOd3qfzrNPQa/zflxdaWXHZnfyGhYZwJTbkv0yVY/mcFC3J5PSLetx7D+AruGMduN/WSURBrYmBjMxfRYGOT5Pki5Ip9PRI7oDPaI7AKeXWXapKjklRRwsPsa2smM4K0vQ11Rhqa8j0FpFiK2EUKuLzjUqwVYNvQYunRGrIRi7IRCHPsD9Y7A03G+4NQTg1J97FSeXS8NV46CuxvGL2qIoYDQoGI06z0XFBpMBo8k9bMxoMrh71kyNPWWnTxw0ztBjMOgbZunRnXXrPr4tJ8hCCHIOlrD1h1xqG79UCI2u1dn0qdiFSbUBYDcqZPYPIGTQjbIXqw2RCWw7YDEaSYnpSUpMzyb7NE1QVeegtLqOolOnOHqqgpryIpyVJSg1Feht9RjUWoyqA5PLiVlzYnGpmF0aJqeG2SkwNfycGcYEoCn6psmt162xIQHWu+//TGLsfi09mqJDNNw2Pm5uouypm5/PKJ8pJNTElJsSsBhBczrds0QoClzC3MTC5aJyXyZ5P6zCfDgHo9Od+Df+Fk4F6znU00xWTCAVSheGRY1gRP/ePmqRJF2ZDHo98V26Ed+lGzDCa58Qghqrk/IqK4WnKjlYfYrqsiIclcVQXYGxrgaTsw6Ls4IAh4MIp5OAOpVAh4rFIdBQcHoSWgtOnRmXzoRTf/5bp87UrN4zh1PgcKrU1fvnBIGChoKGThEoCHSKQKcDnYL7Vq+g1ymeHjLDGT1lOr2CTu9OlnUGHTpDQy+ZoaH3zWwgNDQIu11FKAqKTo/SMGWl0nCldkM4PX1fp6A780evQ6dzx1ud/vT22mobW1YepLT89JeDiPpC+pX9RIijEodBIauHmcOxFvJCOtDdksTvRozyy+9Q8g+ZwLZzOp1CRIiZiBAz/btFAudPdFyqhs2hYrW7qLM5qLBWU2WrpcpeQ42tBmt9FS5rLZq1FuxWFLsVg8OGweHA6HRidtkxOesxu9xB2+gSWFwCo0Ngcrkf637BrMMCxSuh1ZTGpPjsZFiPqhjRdHqvZFkoOndizOnEuHFbk/vovJJoz3OVpuNaAx1VDNyzhqKdNeepN2gKoLjbIBQQitKwreHxGduF4p5ew+hQsThVgs94rdoAHYd7mMnqFIkttDf9w/szu2cC/bpFYpTj6CTJrxRFITTQRGigiV5dwn72WFVzx1GbXaXO7uBUbRXVFcXUVZVhr67AVVeN6rChOWxozhoUpwNFdaJTnZhdLgI1FYNLw6hq6FQFvWpApxpQNAM6zQjCgKa4h4mpusZb93Axr560c5xYuFBCfC4CnTsuCs8G+NlLGwSgNvxcHgIc1fQr30GY7Rh53cys7xpFUWQvYsL6MSomkUdjOxMoV29rc+Q7JnkY9DqCA3QEBxjpQAA9+flAfS5CCOrsdmrsVhQTFJVVUWOzUu6wY3U6sFnrcFqtuGx1aHYbmt0GDhuKy4nO5UKvOtG5VHSqC73qQu9S0asaelVFr6oYVA2dpqEIJ4qwoxMCRbjPDCgCjMKdJCuaQFFBJ0CvCfQq6DSBXmt4fJHXlgk4I7l1J7sm1crPnWNVAL1oeDJnRv/msZoUcroHcLRLN0yxSQyLHcSMHjGYTZf/BOySdKXS63QEWXQEWYxEYSG2Yyj0jrmo1xBCYHU4qbFbwSgoLK+k2mql1mHD6rBhs9XjtNbhstWj2a0NcbTGHUdVFb3L1XCrYmqMnS7NHVtdCnpVQdF04D6nCri/4Lvv6xvuNzxW9AgM7mOEez8NSa37pID7JICq6L16z05/+deh4X1SQFxkr9ovpdcc9KjMxBWYy86EKByxE0mOHcR/9e5HSKCpReog+Y9MYCWfUhSFYIuF8OBAIiKC6B7SsiuQaEJgdzqxO51YXU6sDjtOTcXhcuFwOalXVZyqE4fTgcPhRHPacTodaC4HqsOO0DQUVUPRVNDUhvsaiqqiaBpown1faBh04HS60FQVNA1NaAihgdZwK9zHC9zbEMK9rSHpPvu++1YgFIW6rrF0Sr6a8f0GERJovnDDJUlqNxRFIdBsIjTIQkREEN1CIls0jgohsLtc2BxObC4HVocDp+bC4XJhdzkbYqoTp8uF02HH5XTgcjhQVQeq3Y5QVRTN0RBHtdNxtCGWClU0bBPoUXA5nQhVRWgaqBpoKmgChIqiCXdc1hriIw09V+6uLTTc3VxCuE8nePYp4IjUUT86nasHPMTksNAW+/1JLUMmsFK7olMUAkwmAkwmwv1YzpWwRKAkSVcmRVGwGI1YjEYg0G/lyDgqXQo5eE6SJEmSJElqU2QCK0mSJEmSJLUpMoGVJEmSJEmS2pSLSmDtdjtPPfUU6enpjBw5kkWLFp332AMHDjBz5kxSUlK45ZZb2L9//yVXVpIkqa2TcVSSJOnSXVQC+8orr3DgwAE+/PBD5s+fz1tvvcXKlSubHFdfX8+vfvUr0tPT+eKLL0hNTeWhhx7CarX6rOKSJEltkYyjkiRJl67ZCWx9fT1Llizh6aefJiEhgXHjxvHggw/y0UcfNTn222+/JSAggN///vf07t2bp59+mqCgIL777jufVl6SJKktkXFUkiTJN5qdwGZlZeFyuUhNTfVsGzx4MHv27GlybGZmJmlpaV7bBg8ezK5duy6hqpIkSW2bjKOSJEm+0ewEtrS0lIiICAyG01PHRkdHY7fbqaysbHJsx44dvbZFRkZSXFx8idWVJElqu2QclSRJ8o1mL2RgtVoxmbyXXmt87HA4vLbbbLZzHnv2cRei17fPSRIa29Ve2wftv42yfW1fa7RNxlHfuZI+o+21jbJ9bV9rtq3ZCazZbG4SOBsfBwQENDnWbrc3OdZisVxU5UJDAy58UBvW3tsH7b+Nsn3SxZBx1Pfae/ug/bdRtk/6JZqdOnfq1InKyko07fRyb6WlpVgsFkJDQ5scW1ZW5rWtrKysSXeYJEnSlUTGUUmSJN9odgKbkJCAwWDwuoAgIyODQYMGNTk2OTmZnTt3eh4LIdi5cycpKSmXWF1JkqS2S8ZRSZIk32h2AhsQEMD06dOZP38+e/fuZc2aNSxatIh77rkHcJ9FaOzumjBhAjU1Nbz44ovk5OTw4osvYrPZmDRpkn9aIUmS1AbIOCpJkuQb+vnz589v7sEjRozgwIEDvPrqq2zbto1HHnmEGTNmAJCWlkbPnj2Jj4/HZDKRnp7OJ598woIFC9A0jddee43OnTv7qx2SJEltgoyjkiRJl04RQojWroQkSZIkSZIkNVf7ndtBkiRJkiRJapdkAitJkiRJkiS1KTKBlSRJkiRJktoUmcBKkiRJkiRJbYpMYCVJkiRJkqQ25bJIYHfs2MG4ceN+9piqqiri4+O9fkaMGNFCNWwqPz+fBx54gNTUVEaPHs3777/v2VdYWMivfvUrUlJSuP766/n222+9njt16tQmbcnJyWlSxrZt25oc1/hTVFTk1/Z98cUX5yw3ISEBgI0bNzJ16lSSk5OZNm0aGzZs8Hr+559/zsSJE0lNTWXWrFleE7Kfra6ujmeeeYYRI0Zw7bXXsnDhQr+2zeFwMGXKFH766Sev7fn5+SQnJzc5fsuWLUyZMoWUlBTuueceCgoKvPZ/8MEHjBo1isGDB/P0009js9nOW3ZlZSVz5sxh8ODBjB07lmXLlvmmUWc4X/sAampqGDVqFF9++aXX9u3btzN9+nRSUlK49dZbycrKAuD48ePn/Qzu2LHjnOUfOXKE+++/n7S0NMaOHcs777yDryc7OVcb169fz4033khqairTp0/nxx9/9HrOokWLGD16NCkpKTzwwAPk5+ef87Xfe+89xowZ06x6uFwupk2bxltvvfXLG+NDMpZeXrFUxtHTZByVcfR8fnEcFa0sKytLXHXVVWLMmDE/e9yOHTvEsGHDRFlZmeenvLy8hWrpTVVVMX78ePHkk0+K/Px8sW7dOpGWliaWL18uXC6XuPHGG8Wjjz4qjh49Kv7zn/+IxMREcfjwYSGEEC6XSyQlJYnt27d7tcXlcjUpx+FweB1TWloqZs+eLR577DG/t9Fms3mVXVhYKMaPHy9efvllkZeXJ5KSksQHH3wgCgoKxKJFi8TAgQPF8ePHhRBCrF+/XiQnJ4vly5eLY8eOiTfeeEOkpaWJ4uLic5b1+OOPiwkTJoidO3eK7du3i9GjR4tFixb5rV2//vWvRVxcnPjpp58820+ePCkmTJgg4uPjvY4/ceKESElJEYsWLRI5OTnit7/9rbjxxhs9+7/77jsxZMgQsW7dOrFnzx4xefJk8fzzz5+3/Iceekjcd999Ijs7W3z22Wdi0KBBIjMz0+/ta/Tss8+KuLg48eWXX3q2HT9+XCQnJ4u33npL5Ofni2effVaMHj1aOBwOoapqk8/gf//3f4uZM2ee8zNbX18vxowZI+bNmyeOHj0q1q1bJ0aMGCE++ugjv7bx+PHjYtCgQeL9998XBQUFYsGCBSIlJUUUFRUJIYT46quvxJAhQ8T69etFXl6eeOKJJ8TEiRObvPaxY8dEcnLyBeNRo3feeUfExcWJv/3tbz5r3y8lY+nlF0tlHHWTcVTG0Z/zS+Noqyawn3zyiUhNTRVTp069YEMXL14sbrvtthaq2c8rLi4Wjz/+uKirq/Nse+yxx8T8+fPF2rVrxZAhQ0Rtba1n36OPPioWL14shBAiLy9PJCQkCLvdftHlLl++XKSnp4vKyspLb8RFWrBggRg/frxwOBxi27Zt4qWXXvLaP3ToULFixQohhDuQzp8/32v/hAkTPL+DM5WXl4u4uDixbds2z7avv/5ajBw50udtyM7OFlOnThVTp071+qNdvXq1GDFihJg6dWqTwPvGG2+Iu+66y/PYarWKwYMHe557xx13eP3R7dixQyQnJwubzdak/Pz8fBEXFydOnDjh2fb000+LP/zhD35tX6Pt27eL8ePHi6uvvtor8P7lL38Rd999t1cbr7/+epGVldWkjIyMDDFw4ECRm5t7zjqsX79epKenC4fD4dn2zjvv+Oxv93xt/Pbbb8WwYcO8jh06dKhYuXKlEEKIjz/+2Ovzd/DgQREXF9ckcbvvvvvE7bffLkaPHn3BuuTl5YmRI0eKyZMnt3oCK2PpxWmtWCrjqJuMozKONrqUONqqQwg2btzIK6+8wr333nvBU+M5OTn07NmzZSp2AR07duS1114jMDAQIQQZGRls376dYcOGsW3bNkaMGEFQUJDn+LfffpuZM2cC7nZ07twZk8l0UWU6nU7eeOMNHnnkEcLDw33angs5deoU7733Hk888QRGo5GhQ4cyb948T70+++wzHA4HSUlJADz44IPce++9TV6ntra2ybbjx48DeHU59e3bl9LSUk6ePOnTdmzfvp0RI0bw6aefem1fv349v/3tb3n66aebfA4zMzNJT0/3PLZYLAwYMIBdu3ahqir79u3z2p+cnIzT6fR0HZ39Wl26dKFr166ebYMHD2bXrl1+bR+4u4qee+45/vjHPzb57G3bto3x48d7HlssFlatWkVcXFyT1/nrX//KrbfeSq9evc5ZhwEDBvD2229jNBo924QQ53zvf4nztTE+Pp66ujpWr16NEILVq1dTX19P//79Abjjjjs8f4M1NTX8+9//pl+/fkRGRnpeY+nSpdjtdm655ZZm1eW5555j7ty5RERE+KRtl0LG0uZrrVgq46iMo41kHD3tUuKo4aKf4UNvv/024B4ndCFHjhxBVVVmzpxJcXExQ4YMYd68eXTo0MHf1fxZY8aMobCwkNGjRzN+/HiWL19Ot27dePXVV1m2bBkRERHMmTPHMy7tyJEjGI1GHn74Yfbt20evXr148sknPUHrfFasWEFNTQ2zZ89uiWZ5+eSTT+jUqZPXHye4xzpNmjQJTdP43e9+5wkoAwYM8Dpuw4YN5OXlMXz48CavHRUVBUBRURE9evTw3Af3OKczg9Sluv3228+5/YUXXgDcAehspaWldOzY0WtbdHQ0xcXF1NTUYLfbvfYbDAbCw8MpKipqMg7sXK8VFRVFcXHxL2rP2c7XPoAFCxYwYMAArrrqqib7jh8/jtlsZu7cuWRkZNC3b1+ee+45+vTp43VcRkYGmZmZvP766+ctJzo6mujoaM9jm83G4sWLGTt27C9oUVPna2OvXr144YUXmDt3LjqdDlVV+ctf/tIkUVuyZAnPPPMMJpPJa6xlRUUFr776Kv/85z/JzMy8YD0+//xznE4nM2fO9Mv4u4slY+nlH0tlHJVxFGQcPdOlxtHL4iKu5jh69Cj19fU89dRTvP7665SUlPDQQw+haVqr1uutt95iwYIFHDx4kJdeeon6+nq+/PJLampqeOedd5g+fTq/+c1v2Ldvn6cdtbW1zJw5k4ULF9KnTx/uvTgDhcAAAAnGSURBVPfeC15IsHjxYmbNmnXRZxsulRCCzz77jDvvvLPJvqioKL744guee+453nzzTVatWtXkmGPHjjFv3jymTp3quXDhTN26dSMlJYWXXnqJ6upqSktL+fvf/w64z0q0NpvN1uR3bjKZcDgcnosMzrf/bFartdnH+lJOTg6ffvopTz311Dn319bW8uqrrzJs2DDee+89unTpwr333kt9fb3XcYsXL2b8+PFN/vM4H03T+MMf/oDVauWhhx665Hb8nMOHD/OnP/2JOXPmsGTJEh5++GFeeOEFcnNzvY67+uqrWbp0KbNmzeLRRx/1nLl66aWXuPnmm5v8Z3Mu5eXlvP766zz//PN+aYu/yVja8rFUxlEZRxvJOOrmizjaYgnsggULSE1N9fxkZGRc1PNXrFjBRx99RGpqKmlpabz55ptkZWWxZ88eP9W4eRITE7nuuuuYN28en376KZqmERERwZ/+9CcSEhK47777uO6661i8eDEAf/7zn1m9ejVjx44lISGB+fPn0717d7766qvzllFeXk5GRgZTp05tqWZ57N27l5KSEiZPntxkX3BwMPHx8Z5uhX/9619e+48ePcrdd99Njx49+POf/3zeMl555RWKi4sZNmwYU6ZM8bTzzK7D1mI2m5sERrvdjsVi8QTRs/c7HA4CAgKa9VoOhwOLxeLjWp8mhOCZZ55h7ty5Xt08Z3bxGQwGxowZw+zZs0lISOCFF15A0zTWrl3rOcblcrF27dpmfwZdLhdPPvkk69ev5//+7/88Z4j85V//+hfp6ek8+uijJCQk8Nvf/pbk5GQ+/PBDr+O6dOlCfHw8zzzzDJ07d2bp0qVs3LiRzMxMHn300WaV9eKLL3LTTTfRt29ffzTlgmQsbXuxVMZRGUdBxtEz+SKOttgQgttvv93rj7e53z4anf2NKzIykvDwcJ91G1yM8vJydu3a5TVdTZ8+fXA6nXTt2rVJXXv27Mnhw4cB0Ov1BAYGeu3v3bs3JSUl5y1v48aNxMTE0K9fPx+2onk2btxIeno6ISEhnm3Z2dlUVVUxZMgQz7bevXt7TcWRnZ3NvffeS2xsLAsXLvzZsx2xsbEsXbqUiooKQkJCOHLkCIqi0KVLF/806iJ06tSJ0tJSr21lZWUMGDCAiIgIzGYzZWVlnrFMLpeLU6dOnbM79nyv5c+u25MnT7J7924OHTrEX/7yF8B9NuSPf/wjK1as4N1336VDhw707t3b8xyj0Ui3bt28zmTt3r0bl8t1zq6zszmdTh5//HG2bNnCwoULSUlJ8X3DzlJUVNTkzNSZUypt3bqVTp06eY0569OnD5WVlXz77bcUFhZ6umZVVcXpdJKamsp7771HWlqa1+t+++23WCwWT6Jht9vZtWsXK1euZPny5f5sJiBjaVuMpTKOyjgKMo6eyRdxtMXOwIaFhRETE+P5MZvNzX5ubW0tQ4YM8RpbU1xcTGVlpdcHpqUUFBQwZ84cr4C/b98+IiMjSUlJITs726s77siRI3Tv3h2AO++802uuM03TyMrK+tl27Nmzh8GDB/uhJRd2rrJ/+OEHnn32Wa9t+/fv93QblJSUcP/999OrVy/+8Y9//OwZAE3TeOCBBzh8+DCRkZEYjUY2bNhAQkICwcHBvm/QRUpOTvY6w2W1Wjl48CApKSkoisKgQYO85vHbvXs3BoOB+Pj4Jq+VkpLCyZMnvT43GRkZpKam+q3+nTt3ZvXq1Sxbtoxly5bx1Vdf0bFjR37zm994zuakpKRw8OBBz3McDgcFBQV069bNsy0zM5OBAwc2q9v1ueee48cff+S9997z+s/Zn2JjY8nOzvbalpubS0xMDAALFy5k0aJFnn2qqnLw4EH69OnDk08+yYoVKzy/o7lz59KxY0eWLVvGwIEDm5S1evVqli9f7vl9Dhw4kNtvv513333Xv41sIGNp24ulMo7KOAoyjp7JF3H0sh0Da7fbPd+ygoODGTp0KC+//DJ79+5l//79PP7441xzzTWtclYyKSmJxMREnnrqKY4cOcL69et59dVXeeSRR5g8eTKapjF//nzy8/P5+OOP2bRpE7NmzQJg3Lhx/POf/2Tt2rXk5uby/PPPU1tby4wZMwCor6+noqLCq7zs7OxmjSnxh3OVPW3aNEpLS3n11VfJy8vj448/Zvny5Z7xOf/7v/+LEII///nP1NbWUlpaSmlpqWcs0Jlt1Ol0mEwm/vrXv5Kfn8+aNWv4+9//7vexPs118803s3PnTt59912ys7OZN28eMTExDB06FHBflfn++++zZs0a9uzZw/z585k1a5YnqTh16pTnytGYmBhGjhzJk08+yaFDh/jss8/45ptvuOOOO/xWf71e75XsxMbGotfriYqK8py5u+eee1i1ahWffPIJeXl5PP/881gsFkaPHu15nZ/7DJ7Zxs2bN/Pll1/yP//zP8TExHje+7M/0752++23s3HjRj744AMKCgr44IMP2LRpk+d3O3v2bL788ku+/vprcnNzmT9/Pg6HgxkzZhAZGen1O4qMjPT83s73Pp75+zSbzYSFhV0WZ7rORcbS01orlso4KuMoyDjq8zh6UZNu+ckXX3zRZO7Czz//XMTFxXkeV1VViT/84Q9i+PDhIi0tTfz+978XNTU1LV1Vj+LiYvHYY4+JtLQ0MXLkSLFgwQLPvpycHHHnnXeKQYMGiYkTJ4rVq1d7PXfBggVi9OjRIikpSdx1110iOzvbs+/NN99sMnfapEmTxKeffurfBp1HUlKS2LRpU5Ptu3fvFrNmzRLJycli8uTJYu3atUIIITRNE8nJySI+Pl7ExcV5/TTO8XZ2G0tLS8VDDz0kUlNTxfXXXy+WLFni93ada36/rVu3Npm/UAj3nHwTJkwQycnJ4r777vNMNN7onXfeEVdddZUYMmSIePrpp73mpbzzzju95icsLy8XDz/8sEhKShLjxo0T33zzjY9b5na+CbiFEGL06NFe8xcKIcSaNWvExIkTxaBBg8Qdd9whcnJyvPY/+OCD4rXXXjvn653Zxueee+6c731zJ7S+GGe3ccuWLWLGjBkiJSVF3HTTTWLLli1exy9ZskSMHz9eJCUlibvvvlscOXLknK97rnh09vt49r7Wnge2kYyll2cslXFUxlEhZBz1dRxVhPDx2mSSJEmSJEmS5EeX7RACSZIkSZIkSToXmcBKkiRJkiRJbYpMYCVJkiRJkqQ2RSawkiRJkiRJUpsiE1hJkiRJkiSpTZEJrCRJkiRJktSmyARWkiRJkiRJalNkAitJkiRJkiS1KTKBlSRJkiRJktoUmcBKkiRJkiRJbYpMYCVJkiRJkqQ25f8HOx9Wsqh9e0UAAAAASUVORK5CYII=",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x00000000546FE240>)"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Alterternatively, we can solve the \"transition\" problem by giving the household the last period consumption value of assets. In this case, the problem is\n",
"\n",
"$$\n",
"V_T(a_t, \\hat{\\alpha}, \\hat{\\beta}, \\hat{z}) = \\max{w_{t+1}} \\big\\{ u(a_t - w_{t+1}) + \\beta V_R(R w_{t+1} + pension) \\big\\}\n",
"$$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"v_T = Array(Float64, size(wgrid_R,1))\n",
"\n",
"for w = 1:size(wgrid_R,1)\n",
" v_T[w] = u(wgrid_R[w, 1] + abs(wgrid_R[1, 1])+0.1)\n",
"end"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Comparing the value function for the consumption value of last periods asset to a number of value functions depending on the level of pension (here we plot the lowest pension realization, the fifth and 95th percentile of the pension distribution) shows that the pension system redistributes in the way that there's no heavy penalty of having no or negative assets at retirement, while on the other hand the utility is significantly more negative and shows a steeper slope in the asset dimension for higher levels of assets, especially at low pension levels due to the fact that the available wealth in cash-on-hand and pensions has to be spread over 30 periods."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cut = 49\n",
"\n",
"fig2, ax2 = PyPlot.subplots()\n",
"ax2[:plot](v_R[1:cut, 1], label = L\"pension_{min}\"*\" (\"*string(round(ygrid_R[1], 2))*\")\")\n",
"ax2[:plot](v_R[1:cut, 18], label = L\"pension_{p5}\"*\" (\"*string(round(ygrid_R[18], 2))*\")\")\n",
"ax2[:plot](v_R[1:cut, 109], label = L\"pension_{p95}\"*\" (\"*string(round(ygrid_R[109], 2))*\")\")\n",
"ax2[:plot](v_T[1:cut], label = \"Terminal value\")\n",
"ax2[:legend](loc=\"best\")\n",
"ax2[:set_xlabel](\"Assets\")\n",
"ax2[:set_ylabel](\"Value\")\n",
"ax2[:set_xticklabels](round([wgrid_R[1],wgrid_R[11], wgrid_R[20], wgrid_R[30], wgrid_R[39], wgrid_R[cut]]), rotation=90)\n",
"title(\"Value function, first period of retirement\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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NjSNuv/Z4LS0t+rbBgvhAtF/aCxYsgNFo7DdywiOPPIIrr7wSBoMh5+v6gSxevBgffvhhv8kLXn75ZVRWVqKurm7E7RoryWQSn//85/WTw6qqqvD1r38dp512mt5ug8Ew4uP95S9/ybn+pz/9CYIgYMmSJZg+fTo8Hg/279+f8z77fD6sXbsWW7duHfHjLF68GE1NTf3GOX755Zf1OtAjjzwSVqu1X+3z3/72tyGPvWTJEgDoF/RfffVVZDKZEf2hM5QZM2YM+Tps2bIFAIb9fA3mmGOOwY4dO/Ra+/nz52PevHl44okn+r0/B2rJkiVobW2F2+3Oafs777yDRx555IDCNHt6aaJjzy5RgTr++ONRU1ODn/zkJ5g6dSqOO+44/TatPvKWW27BWWedha6uLqxfvx5tbW2QZRnRaLTfV6Bz5sxBdXU17r//fj2IPvTQQ7Db7fovOpfLhW9/+9u499570dPTg8WLF6OtrQ0///nPIQjCsF+lZ//CXLp0Ke644w785Cc/wbe+9S19wokDHYjf7Xbj/PPPx2OPPQaz2YxjjjkGH374IX7zm9/g2muvhSAIeg/d73//eyxcuFA/oUizcuVKvPTSS7jgggtw+eWXw+l04sUXX8Q///lP3H777QfUnkAggKamJsyaNWvAr54PltlsxlFHHYV169bBZDJh9uzZ2L17N1588UV8/vOfBwD9a+m3334b9fX1/Woxs23cuBFXXXUVzjjjDGzduhXr1q3DV7/6Vb3H7/vf/z5Wr14NURRx0kknIRwO48EHH0RbW9sBTcpw1lln4de//jVWrVqlj8bw17/+Fc8//zwuv/xy/TW67LLLcM8998Bms2HJkiV466238Oabbw557JkzZ+LMM8/Ez3/+c8TjcXzqU5/Cli1bsG7dOhx77LGHPKazwWAY8nW45ZZbAPT2AL/++uv4zGc+o5+AOJxVq1bhvPPOw8UXX4yvfe1rMJvNePrpp/HGG2/gvvvuO6S2n3XWWXjqqaewcuVKXHLJJaiqqsLbb7+Nhx9+GCtWrDigP4ycTieCwSDeeustzJ07V/8DmmiiYNglKlCCIODMM8/EAw88gCuuuCLntsWLF+PGG2/Eo48+ij/+8Y+oqanBOeecgx/+8Ic499xz8f777/cLAgaDAT//+c9x22234corr0RFRQUuuOAC7Ny5E7t379b3+973vofKykr8+te/xsMPPwyn04njjz8eV1555bDhLrtXub6+HnfeeScefPBBXHzxxZg1axZuvfVWPUAMd5zsY/3whz+Ex+PBb3/7Wzz88MOYOnUqVq9ejXPPPRcA8PnPfx4vv/wyrr32WpxzzjlYvXp1zvEqKirw29/+FmvWrMF///d/I5VKoaGhQR/39UDa8uqrr+KOO+7Ak08+iWOOOWZEr8VIrV69GuXl5fjVr36FQCCAiooKnH322fjBD34AQOktX7lyJX7729/irbfewoYNGwbtwfvGN76BYDCI7373u3C73bj00kv1YcAA4JxzzkFJSQkefvhhPPPMM7Db7Tj66KOxZs0aTJkyZcDnPhCr1Yonn3wSa9as0f9ImjlzJm677bac0UQuuugi2O12PP7443j88cdx1FFH4frrr8eNN9445PFvvfVW1NXV4Xe/+x1++ctfoqqqCueff74+qoNmJK/3QPuM5HU49thjcfzxx2PNmjV455138NBDDw37WIDyB+b69euxdu1a/OhHP4Isy5g9ezYeeOCBnM/dwXxWbDYb1q9fjzVr1uDuu+9Gd3c3amtrcfXVV/crm+ir7/t61lln4a233sKqVavwve99Tx/5gmiiEOQi/+4ikUjg5ptvxp///GdYLBZ861vfwsqVK/PdLCKawL773e/iO9/5TsEO1dTQ0IBLL70U3/ve9/LdFCKivCv6nt277roLmzdvxhNPPIGmpiZcc801qKmp0b/2IyIaTRs3bsQnn3wy5OQCRERUOIr6BLVoNIrnnnsON9xwA+bOnYtly5bh29/+Np566ql8N42IJiifz4ennnoKFosl300hIqIRKOqe3a1btyKdTucMxn3UUUfhF7/4RR5bRUQT2XBjwxaCAxlNgYhooivqnt1AIACXy5VzgkZFRQUSiUS/MSaJiIiIaPIp6rAbi8VgNptztmnXk8lkPppERERERAWkqMOuxWLpF2q160NNb0lEREREk0NR1+z6fD6EQiFIkqTPcBMIBGC1WvVBwIeSPY0pERUfSZKRyUiQMhIymQHWJRmSusxkste123q39V4kZbt6PdP39oyyj5xzH7n/dVk9tgz9mLKcta8M9T4SZAmQ5N5j5O4nQ9b3VW7rvV35OSbJMlDUg0gSUdESgMt+uBQVvtJ8t2RQRR12586dC6PRiA8//FCfNvKDDz7AEUccMaL7C4KAcDiGTEYay2ZSATAYRJSV2fh+HwJJkpFJS0inM0inJKTV9Uxa0i/pjIRMWkYmndEDZzrr9kxGvaT7B1Plev91KaM8bt+QyvdxchEEdfIFARAgQBCgrAsCBACCKOj7qTsp98naF+q6oO6o9XUI+rp2/OzH6rtv73G0tmQ/FnoPo9xPu4+Q3b6siSSyj9Hner/H6/v8cl6f3ONrj52zX9a2nDYM8DgDtm2A9g1735x9+j93faG1f5Dt2auiKMJqNSEeT+mzNgrZDez3vLXF4LdpK0K/55V1W7/79J8QpG//Wb8Otdynnvu8B9tngAMLA9yhX9/dAM+7z019tg30wIM2Qd/R5bHDYBYRCkUGvuMh0n5/H4qiDrs2mw1nnHEGbrrpJtx2221oa2vDo48+ijvuuGPEx9B+GdPkMJHfb0mSkUpmkEqmkUpmkExm1OsZpNMZpFIZpJNS73pKQjo1yLoWXtUwm04pIXOyEUUBgigoS0FZiqIA0dB7XRCVX/LZ+wiiAFHIvm/v7YK+X+9MVtnH0e8rCBC0fbTbBO026McRhD73E3uDmqjcSb9v77LPNnHgfdBvW+5ysNuBrAA5QBjNDpe5xxrg/hggMPRhNIpwuRwIhSIT9v839eL7XXgK/X0o6rALANdddx1uuukmfPOb30RZWRmuuOIKLFu2LN/NIjogmbSERCKNRDyN5CDLRCKNZDyNZDKNVCKjBtp0VqAtzB82ggAYjCIMBrF3aRBgMIgQ1fXcZe42g0FUA6YI0SDAoK2roTPndjVcmswGOJ02RCIJyEBvSBV779e7rTeUardnhz8iIipuRT9d8KHiX4aTw3j1BMiyjHQqg1g0hXhMvURTiGWvZ92WiCkhNjOOn0GDUYTJJMJoMsBoMvRfNxpgNCnB1Gg0qEvlYlBvNxhEGE3qNu227DCrLwW9nn48sedncuH7Pbnw/Z5ctPf7kI4xSm0hmtBkWUYsmkK0J4lITwLRniSiPQlEsq9HkohFU6MeXEVRgMVqhNlqhMVihMlsgNmsLE0WA8xmA0xmbbtB2W42Zq3nhlr2VhIR0WTCsEsEIJXKoLszjnBnDOEuZdnTlVCCbCSJaE/ykGtWrTYjrDYTrHaTslQvFqsRZosxZ2mx9IZbg1FkQCUiIjpIDLs0KUiSjK5QFI17QggFo+juyg22sUjqgI9pNIqwl5jhKLHAXmJWLg5zb5C1m2Cza4HWBFFkYCUiIhpvDLs0ociyjGgkiY5ABEF/BB2BHgQDEYSC0QMqL3CUmFHqtMJRaskJtI4SCxxqsDVbjOxxJSIiKnAMu1S0kok0Otoj6Agol2BACbfxWHrY+5otBpQ5bSgtt6Ks3JqzXuq0wmg0jMMzICIiorHGsEtFQZZldHZE0bK/C837O9HWFEa4Mz7kfQQBcLpscFeWoNJXgto6NwwmAY5SCyxW9soSERFNBgy7VJAkSUZHoAfN+7vQsr8Tzfu7EI8OXldrLzHDU+mAu9IBd2UJPJUOuDx2GE1KDy2HqiEiIpqcGHapIGQyEtrbetC8vxMt+7rQ0tiFZGLgcoSyciuqp5aj0lcCd6UDHm8JrDbTOLeYiIiIigHDLuVNKpnG7u1B7NjsR9O+ENKpgXtcXRV2VE8tR81UJ6qnlqOk1DLOLSUiIqJixbBL4yqTlrBvVxDbN/uxd0dwwJKCCl8JaqaWo3qqE9VTnbDZzXloKREREU0EDLs05iRJRvO+ELZv9mPXtgCSiUzO7aVlFsxoqMSUOheqpjhhsfJjSURERKODqYLGhCzLaGsKY/tmP3Zu8/ebtMHmMGFWgxez5nnhqynjyAhEREQ0Jhh2aVRFexL49wdN2LHZj+6u3KHBzBYDZsypxGHzvKiZVg5RFPPUSiIiIposGHZpVMRjKXz0z334+P2mnDpco1FE/WEezJrrw7QZbhiMDLhEREQ0fhh26ZAkE2l8/H4jPnp3f04tbt1MN2bN82H6YR6YzPyYERERUX4whdBBSacz2PRhM/71zr6cyR7qZ3mw+MTp8HhL8tg6IiIiIgXDLh2QTEbCto9b8f6GvYh0J/TtU+rKsfjE6aia4sxj64iIiIhyMezSiMiyjB1b/HjvH3vQFYrp2701pVhy4gzU1rvy2DoiIiKigTHs0pBkWcbeHUH88++70RGI6NvdlQ4sPnE66md5OGwYERERFSyGXRpUIp7Cn1/egv27OvRtTpcNx3ymHrPmehlyiYiIqOAx7NKAOjui+MNzH6OrQylZcJSa8akT6jHniCoYDBw+jIiIiIoDwy7107inA396YTOSiTQAYN6R1Thh2SwYjYY8t4yIiIjowDDsUo6N/2rC//55O2QZEATghJNn4fCjp7BkgYiIiIoSwy4BUIYU2/DGDmz6VzMAZWrfU8+Yj6nT3XluGREREdHBY9glJOIp/OmFTWja2wlAOQnti185HC6PI88tIyIiIjo0DLuTXCgYxR+f+1gfO3dKXTlOPWM+rDZTnltGREREdOgYdiex/bs78PqLm5BMZAAA8xfV4IRlszjaAhEREU0YDLuTkCzL2PhBEza8sUM/Ee3TpxyGw4+aku+mEREREY0qht1JJpOR8L9/3o7NH7UAAMwWIz5/5jzU1vNENCIiIpp4GHYnkVQqgz8+93HviWhuG077yhEod9vz3DIiIiKiscGwO4m889edetCtrXfh1DPmwWLliWhEREQ0cTHsThJ7dwax6UNlDN26WR584az5EEWeiEZEREQTG9POJBCLJvG3P2wFANgcJpx02hwGXSIiIpoUmHgmOFmW8eYftyEWSQEATjqtATa7Oc+tIiIiIhofDLsT3NZ/t2LP9iAAZRzdupmePLeIiIiIaPww7E5gXaEY/vcv2wEA5W4bjvvczDy3iIiIiGh8MexOUJIk4Y1XtiCdkiCKAk5ePhcmkyHfzSIiIiIaVxyNYYL61zv70NYcBgB86oQ6eKvL8twiIiIiKmSyLENOJiHF45ASCciJuLoehxRPKMtEAnI8ru9j8npRftLJEAr4xHeG3QmorTmM9/93DwCgakoZFh03Lb8NIiIiolElyzLkVEoNonHIWhjtE05lNZTqt8XVEJtI5OyrbYMsH3BbrPXTYZs5awye5ehg2J1gUskM3nhlC2QZMJkNOHn5XA4zRkRElGdyOt2/lzQeV3tPs4KnGkJ7t8fUsKqsy3pITQCSlJfnIphMEC1WCFYLrFPrYKmdmpd2jBTD7gTz9t92oisUAwCccPIslJXb8twiIiKi4iJL0uChUw2leo9pPJ4TVGU90OaGWmQyeXkugtEIwWqFaLVCtFghWizK0qqEVW1d2W5R9s3epi6FrG2CobjOAWLYnUD27GjHZnWWtOmzK9CwoCrPLSIiIhpbA36dnx049R7U7GCaG17lPuFUTibz82QMht6gmRVEhayAmrs993pvKFVDqtkCwciox1dggohGknjzD9sAAHaHGZ/9wmwIgpDnVhEREeWSM5ner/Kzg2ZOXWmfgJrz9X4CQiqBVDQGKRbL39f5gtCvx1PUelD7BtTsoKqFVIsFotWWG14ZTMcEX9UJQJZlvPXHbYhFlVnSlp42h7OkERHRIes9Oz/Wp860T+9pPN6/lzSrJzV7fzmVysuDGO/9AAAgAElEQVRzEUwmPXgKfcOppW8ItWbdNlDvqhWC2cxOpSLBsDsBbPl/LdizQ50l7SjOkkZENBllf52fe2Z+IitwxjDgmfnZ4XQUzs4/ZKLYP2iqIdNgtcLmLEVKMEAwW3Ju61trmv01f7HVmdLoYdgtcl2hKDa8sQOAOkvaSZwljYio0MmyDDmd7j2ZKesM+5yTorKC6EBn5+ecDJXPs/PN5qywqXw9r4fQvgG0z35in/0EqwWC0TRor6nRKMLlciAUiiCdzs/zpeLCsFvEJEnCX7JmSVv25XmcJY2IaJTpX+UnErm9ptk9pn0H3e9zXTlxKqsuNZHI69n5otU2wJn4A5yhb+7tNc3dP6v+1Gwp6AkFiBh2i9j/e7cR/uZuAMCnPl2PyqrSPLeIiCi/5HQaUjLRf+D8ZCI3pCYSOeOV9v3qviC+ygeyzs7v7f0UsoaD6rdN327r/1U+z86nSYqf+CIlSTI+/qARAOCrKcOiYwt7QGciomxyOt0bOtVwqoTUeM71vr2hekBVpzSV1fvLyQQysTjkdDpvz0kwGrNOYrJAMPetJbX0D6vavjw7n2jM8H9RkWraG0KkWxkHcOHiqZwljYhGnSxJSvBMJCAlkkrQTCZ6v6bP3q6F0eygqs36lMhdlxL5G2Bf07fGVA+magDVv7LXBtrPrisd4OQn0cIeU6JCxf+ZRWrbxlYAgMVqRP0sjr5ANFnpPaTJ3jCqB8uBtmmBNJHMWk/krMuJpHKffA2snyV7WlKlfrRvMLXAYLXCXl6KJAyA0dQnhGb3nJqVY5nNrDElmkQYdotQMpHG7m3tAIBZ87wwGPlDm6gQyZKkDAWlBkcpkVQCZTLZGyyTyd5l9rq+rTd85t6mHCffPaQAAEFQAqjF3DvIvkUJp9khVblu7RNaLb29qRZLVk+q2ls6glDKs/OJaCgMu0Vo59aA/gN9zuGcEpjoQGnjkWoBU04le9dzlokRbdfP1B9ge8HoG0jNaqjUvs43WyCot4na2KXZX+Gbs9b7bOfg+kRUyBh2i5BWwlDuscNbzREYqPjpY46mkpCTKUjqUk6lIKe0QKr1kOZuyw2syn2RSqFJziAZVccjTar7pQowhGq0MGo26yFUUNf1UKqFUG0fdT0nuOr7q6HUbIZgsUAwDT5uKRHRRMawW2TCnTG07O8CAMw53MdfXjSqtK/d5VQKcjqlhMRUKndbKpm7LZWCpK1roVRbT6d6Q6m2r3492btfKpW/oZ1GQhTVUGnu7ck0m7OCZu9tSrjss58WOk19Q6pZ71EdahB9IiI6eAy7RWbbxjZ9ffZ8Xx5bQqNFliSlVzOdgpxK966n08r1TFoNmlm3pbR91WCp3aYGUjmVfZ8+gVTbL2tfSV0viPrPkdJ7Qk0QTGYIZhNEkxIgDRYzzA4bMoJ6wpLZAtFkUkKlKSukmk1KIO23LTuMmnmWPRFREeNP8CIiyzI+UUsYautdKCmz5rlFhUmWZSCTgaxekMlAFmQk0lEkg91IJVJAJq3cnk7r+8nptHq/rNvSynVoYVLfns7ZD+mMGlDV+2shVduWs0znrOdres9RZTBAMJrU4KmGT5N63agESlHdJqj7iGpAFUy5t2mBVbm/OetYWfubzcpjcjpRIiIaBsNuEWlp7EK4Mw4AmHNElRLqZBmQJMiyBEgyIEuQJWUbZBlynyUkSV1Xl9p1Sda3927ru6+shEdZgpzRbs/k7t93eyaj3NZnKUsZIJO1zGQgS1nhNJN1/z7Xs4Ns7/V0zvVJRRCUoGg0QTAZ1XWj0pNpNOnXlRBqyr1dv973NnPO/gPtK2btz55PIiIqVJP6N9RHV/4QmbSkhMZsOdfl3M3ZtykblF1kGbK2r4yc7YDcG0wH3NZ7mwxZD62Qc/fZ7F4ClM6CQUoic8/12C5PslCXT4KghzrBYASMBn1dWRogGJXezez9BFPvEgYjRKMR0G7PuWiB1Jh7DPU20ZS1n7aPFjQNhny/OkRERAVrUofdyM5d+W7CiGUEA9oc0wAA3p49MBRy0BUEJYCJYu9SNAAGZSkYRCB7KYr6vtoFBmW7YDAq99O2i9o+ImAw9r9PzvXe2w1mI0qdDkTiaUiCto9R/frdoIZWdbsWaLV1o5ED0BMRERWpSR12K5d+FslUGnJ2SV+/EsA+GwRB3aQslZpBIWtXIWcf5WYx63rW7YISoPQglbVdEEX1unKfPZ1GZPaZAQBzj65HpbM+63YREHuXyv0FQD2GkLNU91XX9aCpLnu3Cbm3CaIaTtXgmnUfJYRqjy8WZDDUajhF1nASERFNKpM67M7+wRVFcwLLht/+PwAhlDqtmH3WZzlEEREREdEIFF4XHPXTE46jcU8IAMfWJSIiIjoQDLtF4JNNvWPrzjmC0wMTERERjRTDboGTZVmfSKK61omyclueW0RERERUPBh2C5y/pRudwSgA9uoSERFRYZBlGV2JMJKZZL6bMqxJfYJaMdimzphmNIqY2VCZ59YQERHRZBFLxxGMdaA93oFgrAPBeAfaY9p6CCkpBbNowo+XXAWPzZ3v5g6KYbeAZdISdmz2AwCmz66A2cK3i4iIiEZHRsqgI96J9nhQD7FKsA0iGAshko4Oe4y0nEG6kMf+B8NuQduzI4hEPA2AJQxERER0YGRZRjQdQ3ssO8wq6+2xDoQSnZDkkQ2/KkBAucWJCpsbHpsbFVZlOcNZhwqbZ4yfyaFh2C1gWgmDo9SMKXWuPLeGiIiICo0kSwjFO9UAG0QgFlTDbRDt8Q7E0vERH8thsqPC6oHH5kKFzQOP1aUGWw9cVieMYnHGxuJs9SQQjSSxf1cHAGD2fB9EkWPrEhERTUbJTKo3wMaCCKjBtj0WRDAeQmaEZQQGwaAH2EqbRwmyNo/eS2szWsf4meQHw26B2r65DZIkAwDmHM4SBiIiookslo4hEAsiEA3m9NAGYkF0JrpGfByH0a4EWC3I6utulFucEIXJNxAXw26B+uRjZWxdb3UpXBWOPLeGiIiIDoUsy4ikowhE29VQ254TaHtSkREdR6udrVSDbKXNgwq7GmitHthNHI+/L4bdAhT096Dd3wOAvbpERETFQpZl9KQiWWG2Xe+t9cfaEUvHRnQco2DQSw2UQFuBSruy7ra6YCrS2tl84atVgLZ9rJyYJhoEzJrnzXNriIiIKFtPKoJAtB1+NdD6s4LtSE8IM4smVNorcnpoK20VqLApJ4NNxnKDscKwW2AkScInm5UShvpZHlhtpjy3iIiIaPKJpWNKiI22wx9rhz8aVINtANER9tBaDGa1V7ZCD7Nedb3MXApBKN6TzyVZRntXHHaLESUFnlWKOuyGw2HceeedePPNNyFJEpYuXYrrr78epaWl+W7aQdu/K4RYJAWAJQxERERjKZVJIRALwh8NqIFWCbP+aDu6Uz0jOobFYIbXVoEKewW8WcHWa69AqamkqAMtoITajq44mtojaG6PoKk9gqZABC3BCJJpCQZRwH9/Zwl8Lnu+mzqoog67q1evRmNjI/7nf/4HAHDTTTfhxz/+Me699948t+zgaWPrWu0mTJ1RuFPvERERFQNJltARD6EtK8hq4TYU74QMedhjmERjVq9s7rLYe2g1siwj1J3Qw6wWbJvbI0ikBh/azGAQUOjPvmjDbjQaxeuvv47f/OY3mDdvHgDg+uuvx9e//nUkk0mYzeY8t/DAJeIp7N7eDgCYPc8Hg4H1OkRERCPRk4ygLRqAPxrIWbbHgiOazlYURL1HVgmylfCqgdZpKZtQNbQ9sRSaAj1oao+gMRBR1gMRRBPpIe8nCgJ8bhtqKhyYUuHAlMoSzJrihKvUMk4tPzhFG3YNBgMeeughNDQ06NtkWUYmk0E0Gi3KsLtjix9SRh1b9whfnltDRERUWFKZFNpiHfgk0o2dbfvR0uPXe2sj6eiIjuGylMNrV8OsWnrgtVfCY3XBIBrG+BmMr2Qqg+ag0lPbqAbaxkAPOnuSQ95PEABvuQ1TKkt6g22FAz63HSZj8YX+og27FosFn/70p3O2PfHEE2hoaEB5eXmeWnVotqlj63oqHajwFW/dMRER0cGSZRnhZA/aon69h7Y16oc/EkAwHhpR2YHNaIPPXgmfvVIPtT57JSptHpgNxdcZNhztZLFGfw8aAz1o9PdgfyACfygKeZiXy1NmwZTKEkypdKC2QllWe+wwGSdO8C/osJtIJNDa2jrgbV6vFzZb78DJTz31FF577TU88sgj49W8URXpSaCtOQwAmM0T04iIaIJLSWkEou1oiwb0YNsWDaAtEkA8M/zwXQbBgEqbJyvQauG2AiUmx4Soox1INJ5CYyCC/f4eNAV6sD/Qg8ZABInk0KUaDqsRtZUlqNWCrdpra7cWdBQcFQX9DD/66COcf/75/bYLgoB169bh5JNPBgCsX78et956K66//nocf/zxB/QYhVIX2xns/fqlbqYbxiL8mqCQae9zobzfNLb4fk8ufL8LW08ygtaIP+fSFg0gEA2OqJe2zFwKn6MSVQ4vfPZK1JT6MMs3FZaMHZAnZqAFAEmS0RaKYl9bD/a1dWO/vwf723oQDA/9h4DJICph1luCqeqltrIEzhJzUf4BMBr/rws67C5ZsgRbt24dcp9HHnkEd999N6655hqsWLHigB+jrKwwptXb0t0CABBEATMOq4RxAn19UEgK5f2m8cH3e3Lh+50/kiwhEAmiKdyGpnArmrpb0RxuRVN3G7oTww/hZRSNqC6pRHWZD1NKq1BT6kNNmQ81pT44zIU7pNVoicZT2NMSxu7mMHY3d2FPcxh7WsPD9tZ6XTbUVztRX1OG+qoy1NeUoabCwT/8+ijosDucF154AXfffTduuOGGgwq6ABAOx5DJSKPcsgO3f28IAOBy29HdPbLZV2jkDAYRZWW2gnm/aWzx/Z5c+H6Pn5SUhj8SQEukDS0RP9oifn2ZkoY+kx8ASkwOVDm86kXtrXV4UWFzDzjaQTIiIxmJ5Gwr5vdblmUEwwnsa+vGvtZu7G3rxv62Hvg7h56kwmIyYKpP6aWd5ivVe2sHKkEIh0c24UWx0N7vQ1G0YbezsxO33HILzjzzTHzxi19EIBDQb/N4PBDFkf1Vk8lISKfz/5+lva0bAOCutBdEeyaqQnm/aXzw/Z5c+H6Pnlg6rpYctKE1qpUe+NEe6xi29ECAAI/NjSq7Vyk/sHvhsyslCCVmx4D3kTKAhAN77wr9/c5IElqCUexv61FCrV8pR4jEh/6jwFNm1csPpnpLMNVXgspyG8QBShAK+fkXkqINuxs2bEAsFsMLL7yAF154Qd8uCALeeOMN1NTU5LF1ByaTkRBSa3bdlSV5bg0REU0W3ckePdD29tS2oSsZHva+JtEIr10Js0pPrU85QcxWAZOhsKePHW2JZAb7A0qY1WpsGwMRpIfoeTaqtbVaqJ3mLUGttwQO6+R67cZD0Ybd008/Haeffnq+mzEqujpi+vi6nsqB/+olIiI6GLIsoysZRkukDa1qmG2N+NEabUMkNfzYtA6jHT6HN6entsrhg9taPqEmWhipaDyFvW092NvajX1tSilCazA6ZH+3w2rENF8ppvlKMM1biqm+ElR77DCM8FtoOjRFG3YnkmCgt3jfzbBLREQHQZIlhOJdaI229QZatbZ2JEN5Oc1leg9tld2LanV9Ig/jNZyuSFIJtGp97d7WbrR3Df1aVjiVMoQ6nxJqp3lL4S6zTNrXsBAw7BaAjoBSfG8yG1DqtOa5NUREVMgkWUJHPJTTU9uiliIkM8PMjAUBbqsL1eqJYdV2n37CmM04uUezCHUnsLe1G3taw9in1tmGuhOD7i8IQLXHgTpfidprq/Tcsgyh8DDsFoCgXwm7nsrJ+9czERHlyg612ZfWiB8pKTXkfQUIqLR71DCrBNpqtaZ2Is4gdqCyg+2eVqXHtisy+B8KBlHAlEoH6tRQW1dViqmVJbCYOUxoMWDYLQAdahkDSxiIiCafQwm1oiDCa6tAlcOnlx1UO3yT8iSxwYS6E9jTGlbD7fDB1mQUlTKEqlLU+ZRLTYUDJk72VLQYdvMsEU+jO6x8TeLxciQGIqKJSpZlhBKdepht7mlVQ20bkiMMtdVqmNVDrb0CRpG/yjU9MXVyhpYwdrcoPbedPSMLtvVVpaivKkO1xw4jJ2WYUPg/JM862nsHy2bPLhFR8cse/aBFDbTaJZ4ZvAYUYKg9ELFEGjsau7CnVQ22LeEhTx7Tgm19VakabhlsJwv+z8mzjqyRGDjsGBFRcelJRtASaUVzTm9tK6LpoWexEiDAa+8NtcqliqF2EKm0hP3+HuxuCat1tj1oCgw+DbFBFFDrLcH06jJMV8PtlEoHh/qapPg/Ks+0k9NKyiyw8AxOIqKCFEvHc3pqmyOtaI60ojs5eOACemcTq3FU5QRbn72SNbWDkGQZrcEodreEsasljN3NYez39yAjDTySrSAANRUOTK8qw/TqUtRXl6G2soQ1tqRj2M2zoDrsGEsYiIjyL5VJoTUaUHpre5RA29zTilCic9j7uizlqCmp6g22Jcp4tRz9YGih7oRaYxvGrmal5zaWyAy6v89tR0OdG1Mq7JimjmfLURFoKAy7eSTLsl7G4OE0wURE4yYjZdAeC6JZ66VVyw/80XbIQ86FBZSZS5VAW6L00tY4qlDl8MFm5Djpw0kkM9jTqvTY7mpSlkONZVvmMGNGtdJjO72mDPVVZSgvtcDlciAUiiCdHnw6XiINw24e9YQTSKp/vbJnl4ho9MmyjM5Elx5otWVr1I+0lB7yvjajDTUOH2pKqvVQW12izChGw9PKEXY2d2F3s9Jr2xiIQJIH/mPCYjZgelWpUmerXjjzGI0Ght080mZOA3hyGhHRoYqkotjf1YLmnhY0RVrR0qOcOBYb5mQxk2hCtcOLakeVXoZQU1IFp7mMQesAdEeT2KmG2l3NXdjd0o1YYuA/KAQBqK0swYyaMsyoLsOMmjJUexwQRb7eNPoYdvMoqJYwiKKAco89z60hIioOSl2tH809rWiKtKhT5bahIzZ0Xa02rFd2oK12VKHC5oYo8GSmA5GRJDQFItjZ1IUdTUq4bQsN/kdFeYkZM2qcmFmjBNu6qlJYzYwgND74Scsj7eS0co8dBo7zR0SUQ5IltMc69JPFmtRlINYOSR66VjP7ZDFtyREQDl44msSupjB2NndhZ5PSa5tIDXwSmdkoor6qFDNqnErPbU0Z3GWsZ6b8YdjNo6BfPTnNyxIGIprcupM9aOpp6a2tVU8YG25mMbvRhiml1ZjhmYoKUwV8Nh9qSnywGW3j1PKJR5JkNLVHsKOpCzsalXDr7xy817ay3IqZU5yYWePErClOTKl0cKIGKigMu3mSyUjo6lB+eHAkBiKaLJKZpD75QrPeY9sy7Hi1RtGIarsX1XpvbTWmqHW1JpOBZ+cfgmg8jV0tvcF2Z3MY8eQgvbYmEdOrypRwO6UMM2ucKHNwaDUqbAy7edIZjEJSB8jmSAxENNFoJQjNkValx7anFc2RFgSiwSGH9tImYZiilR+UVKPGUYVKmwcGkWOpHipZlhHojOm9tjuautAUiAz6jnjLbUqoVXtua72chYyKD8NunmglDABHYiCi4taTjKA50oKmntackRCGK0EoMTl6a2pLqjClpBrVjipYOAnDqElnJOxt7cb2xi5sb+zEzqYuhKMDvy9Gg4j66lLMmqKUI8yc4oSTvbY0ATDs5ol2cprZYoSj1JLn1hARDa/vKAjNarjtSnYPeT+TaESVOk6tFmprHNUoM5dwaK9RFomnsLOpSw23XdjdEkZqkNIOp8OMWbVOPdxO85Vyil2akBh280QLux6vgz/siaigyLKMjngo54Sxpp4W+EcwCkKF1a2EWbUEYYqjCpX2Cg7tNQZkWUZ7Vxw71F7b7WpJwkAEAFMqS3BYrVMPuBVOK3//0KTAsJsnvdMEs4SBiPInmopl1dX2htt4ZvApXAHAYbTnBFptljGrkd9UjRVJktEY6MH2xi58sr8T2xs70dmTHHBfs1HEjJoyzKotx+xaJ2bUOGG38lc+TU785OdBPJZCpFv5AeXmSAxENA7SUhpt0UDWyWJKqA0lhp6IwSgYlBKEAUZBYK/g2EqlJexpDavBVilLGGxGsjKHGYfVOnHYFCcOm1qOqd4SDv9FpGLYzYOcaYI5xi4RjSJZltGZ6NJDrVZb2xr1D1uC4La6MKWkCjWOar221mur4CgI4ySWSGNHk9pru78Tu1q6kc4M/J5Vue2YPdWJw2rLcVitE5XlNv7xQTQIht080KYJBgB3BcMuER2cWDquD+ml1dU2R1oRS8eHvJ/NaEWNo6q3ttZRzYkY8qA7msQn+5Vw+8n+Tuzzd0MeYAwwURAwzVeC2VOVYHtYbTnHtiU6AAy7eRD0Kz27pU4rzBa+BUQ0tIyUQVs0kHOyWHOkFR3x0JD3EwURVXav0kvrqNaH+HJZytkLmAeh7gS27Q/pAbe5feCTybR628NqyzF7ajlm1JTBxt8VRAeN/3vyQCtj4MlpRJRNK0HoDbVKr21bxI+0PPCMVppyizMn1E4pqYbPXgmjyB/z+SDLMgJdcWzbF9J7bgOdA/e42yxGzK51YvZUJdzWVZWy3pZoFPGn4DiTZRkd6l/zbtbrEk1asXQMzT1tWSUIrWiJtCKajg15P4vBnFNTq41d6zDZx6nlNBBZltEWimHbvhC27evEtv2dCHUPPKJFqd2kB9s5U8tRW1kCUWRPO9FYYdgdZ91dcaTUOcc9HImBaMLTRkHoHQFBmWlsuFEQREGE11bRJ9RWw20t55i1BUCWZbQEo9i2v1MPuF2RgYcBc5VaMGdab7itcttZRkI0jhh2x5lWrwuwjIFoIpFkCR3xTnWs2jZ9zNq2aGDYURDKLc7eaXPVUFtlr4TJYBqn1tNwZFlGc3sEW9Ve20/2hQaddrey3Io5U11KuJ1WzskbiPKMYXecaSMxGAwCnG6e+UxUjLqTPWiJqDW1ao9tS6QViczAPXsaq8GSE2hZglC4ZFlGczCKrXtD2LYvhK37OtETGzjcel02NEwrx5ypLsyZVg53mXWcW0tEQ2HYHWfayWmuCgdEkV9FEhWyeDqOlkibfsJYc6QNLT2t6E71DHk/g2BAlcOLaodPP2Gs2lEFt5WjIBQqWZbR2hHF1n2desAdrOe2ym3HnGlKr+2cqS64SjlrHFEhY9gdZ0E17LpZwkBUMFJSGm0Rv9pD26aXIgw3tBcAVFjdqC6pUqfMVUKtz17JiRgKnCzL8Idi2KLW227dF0LXIFPvVnvsmDPNpfbelsNZwnBLVEwYdsdROpVBV0cUAE9OI8qHjJRBINau1tQqwbYl0opALDhsXW2ZuRQ1jipUl/iUpaMK1Q4frEYGn2LR3hXDlr0hbN2rlCUMNlqCz2VDQ51SktAwzYVyhluiosawO45Cwag+Ow6nCSYaO5IsobXbjy3+3WgMt+jBti0aQGaY8WptRiuqHVWocfj0HttqRxVKzPw/W2w6exLYujeELeqlvWvgcW695TYl2Na50DCNZQlEEw3D7jgK+rOmCWYZA9Ehk2QJwVgIrdE2tPS0oTnShtZIK1qjAaSkgestNSbRhGqHD9UOn1p+oPTYllucrKstUt3RJDbt6sCWfUrvbUswOuB+njKLHmwbprngcfKEMqKJjGF3HGknp1ltJtg5rznRiCnDeoXUsoPeS2vEP2yoNQoG+NSTxfQeW0cVPDYXx6stcrFEWhnnVp2hbHdzeMD9nA4z5ta5lIBb50IlhwIjmlQYdsdR9slp/EFL1J8kS2iPBdES8aMt4kdLtA2taqhNDhNqRUGE116pjIBQWoXDfNNQLrjhMrl4stgEkUpnsKMprJYldGB3czckrTYsS4nNhDnTyjG3zoW5dS5O4kA0yTHsjiNtjF3W69Jkp50o1hLxo1XrpY360RYNIC2lh7yvNrOYVoJQXVKFKrsXXnsFjKLyI81oFOFyORAKRZBOD33iGRUuSZKxp7UbW/Z2YMveELY3diE1wPtpNRtwxKwKHDalDLNry1HrLYHIcEtEKobdcRKNJBGLKD1THImBJotEJom2qB+tak9tq7ruj7UPO/qBQTDAa69AlcOHKrtXD7fZoZYmFm0ihy17lHC7dV8nYon+f/wYDSIOq3Wioc6FeXUuzJrqRIWnlH/cENGA+BtjnGj1ugBPTqOJpycZUYOs2kMbCaA16h/ROLVG0QifWn5QZfeh2uFFlcOHSpuH5QeTQKg7gc17OrB5Twib93YMONatIAD1VWWYV6+UJcya4oTZ1PvZMHCCHiIaAsPuONFKGADAXcGwS8UnI2UQjIfQppYbtEUC+npPKjLs/S0GM6rsPlQ5vKiye5Wlw4cKm5snik0i0Xga2/aF9HA72IgJUyocSs1tvQtzprpgt/LXFREdHP70GCdaz67TZYPJzN4qKlyxdCwrzCqBtjUaQHu0HelhxqgFgFJziRpmlfIDn6MSVXYvh/SapFJpCTuburB5bwe27AlhV0sYA5xTBneZBfPq3HrvLWcpI6LRwrA7ToJ+ThNMhSMtpdEe64A/GoA/1o62SAD+WAD+aDvCye5h7y9AQKXNA6+9Ej57pdpLq/TY2k32cXgGVKhkWUZjIIJNuzuweW8HPtnfiWSqfx2t3WLE3DoX5tW7MK/eDa/Lxj+GiGhMMOyOA0mSEWpXwq6HYZfGiSRL6EqE4Y+2wx9Temn90Xb4owEE46FhTxADAKvBqvfM+uyV8DmUZYXNAxNPEiNVRziulCXs6cDmPR0IR/sPE6edVKaF2zpfKUSR4ZaIxh5/W42DcGdMP0PYzZEYaBTJsoyuZBiBaDv8sXYEokF12Y5ALDjshAuAMpRXhdUNr70CXnslvPYK+Oxe+OxelJlL2NtG/cQSaWzV6m73DFx3KwCY5ivVw+1htRWbXeAAACAASURBVLknlRERjReG3XGglTAAHGOXDpzWQ9seCyKgXvzRdgTUUDvcZAsap7lUD7Na+YHXVgGPzc2hvGhIGUnC7uZubNrTgU27O7CrOTzgZA6eMivmT1fC7dw6F0rtnCmSiPKPv+HGQYc6EoPRKKKs3Jbn1lAhSktpBOMhJdBGg3qwbY8FEYx3IDXMRAsah8kOr60ClfYKpaZWXffaK2EzWsf4WdBEIcsy/KGYHm637gshluh/cqJNrbudX+/CvOlueMtZd0tEhYdhdxxo0wS7KhysUZukZFlGTyqC9lgHgvEOBGMdaI91oD3egfZYEKF4J2QMcIr6AOxGmxJgs0Otep0nh9HB6omlsGVvCJt2KwE3GI7328cgCpg5xamH2/qqUo5xS0QFj2F3HGjDjrGEYWJLZJIIqmG2PaYG2njvMpnpP1j+YJzmMlTYPKi0edSlGxV2Zb3ExM8RHbp0RhkSbONu5aSyPS3dA/65Ve2xY/50N+bXuzFnWjmsZv7aIKLiwp9aYyyVzKArFAPAYceKXTQVQzAeQscAl2A8hEhq4MHxB2IUDHBbXfDY3Hqg7Q23bpgNrHWk0SXLMlo7onrP7dZ9nUik+pcmlNpNmFevhNt59S64y1j+QkTFjWF3jHW0Z52cxpEYClZGyqArGUYo3oVQohOheCdCiU4lyMZC6Ih3Ip7p/7XuYAQIcFrK4LG6UGHzwKMGW23daSnjrGE05npLE4JqaUKi3z5Gg4jZU52YX+/G/Olu1HpLILLulogmEIbdMaaVMAAsY8gXZTSDHgSDAewNtCIYDelhVgu3XYnwiGtmNU5zKdxWN9zWcritLr2ntsLmhtvq4ji0NO7SGQm7msPYqPbe7mkJD/iprq10KKUJ092YXVvOIcGIaELjb+MxFvQrIzHYHCbYOAzPqIunE+hKhtGV6EJnIoxOdZl9PZzsHtEECtlEQYTTXAaPzdUbZK296y5rOcMsFYS2kFKasHGXMmpCPNm/NKHMbsK86VppghuuUk7FS0STB39bjzFtJAaWMIycLMuIpmMIJ7vRlQgjnOxWLgll2ZXsRjgRRmcifEClBdnKzKVwWcrhsjrhspSj3OpUQqzFCZe1HGXmUpYZUEGKxtNKacKeDmzaHUSgs///AaNBwGG15Th8OksTiIgYdseQLMv6GLuTfZpgSZYQSUXRnexBT6oH3ckedKci6Ekq6+Fkjx5uu5PdSMv9e6dGQuuRLbc4UW5Rlk5LGdz2ckyr8MGYsqLEWMpeWSoakiRjd2sYm3Z1YOOeDuxqGnhCh5oKh153O2daOSwsTSAiAsCwO6aikSTiMWUyALd34vTsyrKMpJRCJBVBTyqCSCqadYmgJxVVQmxWmO1JRQ64JjabAAFl5hKUWcpQZi6F01wKp6UMzqxQW25xwmGyD9gjazSKcLkcCIUi+tTNRIWqIxzHxt0d2Li7A1v2dCAS7z+piMNq1IcEmz/dzVETiIgGwbA7hnJOTivAnt20lEYsHUc0HUM0FUMsHUM0rS5TMfW2KKKpGCKpaG+wTUeRHuGMXsOxG20oNZegxORAmaUMTnMpysylOaG2zFKKEpODZQU0YSVSGWzb14mN6qgJLcH+w9gZRAEza8owf4YHh093o85XyklqiIhGgGF3DGknpwkC4PIc+sxWsiwjLWeQyiSRyCSRzCSRkJJIpBOIZxKIpxOIZ+LqMoF4Ot67PR1HIpNALJNATA22SSl1yG3qy2qwwGGyo8RcglKTQ12WoNSsXkwlyjazAyUmB4wsJ6BJSJZlNAYi2Lg7iI27OrC9sRPpTP9vPrzlNsyf4cbh9W401Llgs/D/CxHRgZrUPzklWUJGyiAtZSBD+QUEyGo9nKz8k/U1yLKMjJxBRpKQkTPK/bOWGUmCJGeQkSVkZAk7G0MAAEuZiHcDHyAlpZGSUkhLGaSlFFJSGmkprS/TUhpJKYWkGmSTUkoPtclMCkkpecCjChwsk2iEzWiDzWiD3WhTAqzJAYfJrl96r/duZ3glGlg4msRmtTRh0+4OdEX6z6hnNRswt86ln1jmdXH6ZyKiQzWpk8l5z6wa0+PPbDoBNjjRZmjC+1s/HNPHymYQDLAaLbAarOrSAovRApvBCovBApvJCrsaYpVAa4XdZIfdaIXNqCxNBtO4tZdoIsqejnfjrg7sbevut48AoK6qFIfPcOPw6R7MqCmD0cByHSKi0TSpw+6YkgVYYspJaXFbWN8sQIBJNMIkmmAUjTCKRvW6Ub9uMZhhVi8Wgxlm0QyzwaRsE805t5tFE6xGK2xGCywGC6xGK0caIMqTtlAUG3cpPbdb9oWQGGDMW2eJGYdPV8LtvHoXSjn+NhHRmJrUqejCo76KWDQJSQIEQYAAban8gyBAhHICiKCui6IBBkGEQTBAVJcGUVsXIQrK7ZFQCn95bycA4KufOh3TD6uESTTCIHI4IKKJIpZQxrxVShP+P3t3Ht5kma9x/Js0bZrurVDKVii7CCjKIsouKDPIAE51dBQdlqMy7huigzvjhgtHHXXcxlFcjo6sisugIouIG5tC2XdooTTd0jRplvNHmtBKgRZSmjT357p6Ud4k7/ukD8jtL8/7e47W89ZI59bJnJHlu7GsZdN4DOp5KyJyykR02B3RcXC9taLasvtA4PuWzU8j1qQdi0TCncfjZWdeCb9s83VN2LqvGLen5p63vuptGh1bq+etiEhDiuiwW5+s+b62Y6ZoI4nJ6n8pEq6sJY5AS7D1O6yU2o/sYhIfa6Jr27TAjWXqeSsiEjoUdutJWZnvH8T4BLM+shQJI84KN5v2FAbW3u7Ntx3xHKPBQLuWSXRrm8YZ7dLIykhSz1sRkRClsFtP7JVthSzx6mogEsq8Xi/78m2BlmAbdxdSUcPSpibJsZWV29M4vU0qcbH6z6eISDjQf63rSXllZddi0Z3WIqGmpMzJ+h3WwPKEwtIje96ao309b8+oXHubnmrRpzQiImFIYbee2MtU2RUJFdV63m4vYFduCUfeVgZtmvl63p7RNo0OrZLV81ZEpBFQ2K0ndn9lVz00RU45r9fL3oOlLF+1h7Vb8snZVYij4ig9b9v6birr2jaNpHj9fRURaWwUduuB2+3BUe4CIDZOlV2RU6HUXkFOZc/b9TsKyC86sudttMlIp9YpnFHZOUE9b0VEGj+F3XpQXqU1kUVhV6Re+Jcm/LqjgF+3W9mxv7jGpQktm8YHWoJ1apVCjHreiohEFIXdemC3VQ27+lhUJBi8Xi+5BWWBfrdH2443MS6ablmn0adbc9plJJBo0f9wiohEMoXdelBuP3xnt25QEzlxJWVONuy0VgbcAg4VO454jinKQMdWKYHqbav0BGKio0hNja+3HRJFRCR8KOzWgzJVdkVOSIXLzeY9vqUJ67db2ZVXc9eElk3jOaPyxrJO2o5XRESOQWG3HvjbjgHEWvQjFjkaj9fLngOlleG2gE17imrc0CEpLpquWb6WYF3bppGaaG6A0YqISDhSEqsH/rZjsZZojEb16RSpqqC43Bdud1hZv6OAkrKKI54TU9k1oWvbNLq2TaVVegJGdU0QEZET0GjC7kMPPcSWLVt4++23G3ooh3dPUycGEWzlFeTsLGT9zgI27LCSW1B2xHMMQGZGom9pQttUOrRKJtqkpQkiInLyGkXY/fnnn3n//ffp3bt3Qw8FALutcvc0hV2JQBUuN1v2FLF+p69yuyO3BG8NC2+bJMfStXLd7eltUklQ1wQREakHYR92nU4n999/P2eddRbemv5FbQCB3dO0G5NEAI/Hy868EjZUhtvNR1l3Gx9r4vQ2qZxeuTQhPcWiDR1ERKTehX3YfeWVV+jSpQtt27Zl5cqVDT0c4PANato9TRojr9fL/kNlbNhpJWenlZxdVmyVOwZWFW0y0qlVMl3bpnF621Qy0xMxGhVuRUTk1ArrsLt161bef/995s+fzzvvvNPQwwkIVHbVdkwaifxCOxt2+jZy2LDTSlGp84jnGAzQNiOJrm1T6dpG625FRCQ0hHTYdTgc5Obm1vhY06ZNuf/++7n55ptJS0s7xSM7OpfLTUXlrk5asyvhqqjUwYZdvsrt+h1W8ovKa3xeiybxnJ6ZSpc2qZzeJoW4WP2ZFxGR0BLSYXf16tVcc801Rxw3GAzcdttteDweLrvsspO6RlRUcFuD+W9OA0hINGMyqfVYKPDPc7Dnu7EoKXOSs9NXtd2ww8refFuNz2uSHOu7oaxtGl3bpJISov1uNd+RRfMdWTTfkSUY82zwhspdXXV09dVXs2rVKkwmX16vqKjA4/FgNpv59NNPycjIaJBx7dtdyGszlwJwzV/Po0370xpkHCLHUmxz8uu2fNZuyeeXrYfYsb+4xuelJprp0aEpPTo2oUeHJmScFn+KRyoiInJyQrqyeywzZszA6fRVUb1eL2+99Rbr1q3jqaeeomnTprU+T3GxHbf7yDvHT1Re7uHQ4PK4sVprrpDJqRUVZSQpyRL0+Q4XNnsFOZXrbXN2WtmdV1rjNrzxlmi6ZB7ezKFFk/hqHRPC5c9zpM93pNF8RxbNd2Txz/fJCNuw26xZs2q/T05OJiYmhtatW9fpPG63B1cNbZJOlK3EEfg+xmwK6rnl5AV7vkNVqb2CzbsL2bi7kJxdRw+3cWYTnTNT6JyZSpfMlCN2KnO7vVDjK8NDpMy3+Gi+I4vmW2orbMPubxkMhpDo2elvO2YwgDm20fx4JcQVlTrYuLuQTZUBd+/BmiuwFrOJzq1T6JyZQpfMVFqnJ6gdmIiINGqNJo3deOONDT0EoHrbsVAI39I4FRSXs3GXL9hu3F1IXg1b8AJYzFF0bOULtl3apKjXrYiIRJxGE3ZDhbYKlmDzer3kFpSxeU9RYGnC0VqBJVii6dQ6hU6tU+jcOkWVWxERiXgKu0Fmt/squ9o9TU6Uy+1hZ14Jm3cXsXlPIZv3FFFa+efqt5LjY+iceTjcNm8SX23NrYiISKRT2A0yu61yGUO8dk+T2rE7XGzdW8SmPUVs2VPItn3FOI9y08VpSbG+YJvpC7fpqRYtlxERETkGhd0g89+gpmUMUhOv10t+UTlb9haxdW8RW/YUsftgKTV1uzYArdIT6NgqmY6tUujYKpm0pNhTPmYREZFwprAbRF6vl/IqN6iJOCvc7MgtYes+X7Dduq+Y4iq77FUVbTLSrnkSHVv7wm37FsnEqaOHiIjISdG/pEHkqnAHev6pshuZCop9VVtf5baYXXkluD0196lNsETToWUyHVsn06lVCm0yEjFp+0sREZGgUtgNIn/bMVBlNxLYHS525pawfX8x2/YVs21/MdYqm4pUZTBAq6YJtG+ZTIeWSbRvmUx6itbbioiI1DeF3SCqHnZV2W1MXG4Pew/afMF2fzHb9xWzL9921L3F4mNNtGtxONhmNU/CYtZfNxERkVNN//oGkb3KWkxLvMJuuPJ6vRwotLNjf0kg3O7KLTlqhwSjwUDLpvFkNU+ifYskOrRKpllanFqAiYiIhACF3SDSMobw4/F6OWC1syO3mF25pezILWZnXil2h+uor2mSHEtW8ySymifRrkUSbZolYo6JOoWjFhERkdpS2A0if9uxqCgD0Qo/Icfj8bL/kI2te4rYkVvCztwSdh0owe5wH/U18bGmQLDNapFEu+ZJJKmHsoiISNhQ2A0if2U3Ni5GNx41MGeFm735NnYfKGV3Xil7Dpay68CxK7YWs4k2zRJom5FEm4xE2mYkatMGERGRMKewG0TaUOLU83q9FNmcvlB7oJRdeSXsPlBKbkFZjRs1+MWZTYFA26byS90RREREGh+F3SDSVsH1y+F0s++QjX35NvYetLH7QAm7DpRSUmWtdE2S42PIbJZIpzapNE+10Co9gabJsQq2IiIiEUBhN4gCu6dZVNk9Gc4KN/sPlflCbb4v3O45WMqhovKjtvoCX1eE5k3iaJ2eUOUrkeT4GEwmI6mp8VittsDGHyIiItL4KewGUWAZg9qO1Yrd4SK3oIy8gjL2HfJVa/fl2zhQaD/mEgTw3TjWOj2BVpWhNjM9kRZN4og26cZAEREROUxhN0i8Xm/gBjW1HTvM7fGQX1RO7iFfqM2t/NpfUEZRqfO4r7eYo2jZJIEWTeJp2SSeFk19vybH6yZAEREROT6F3SBxOlx4PL5yZKTdoOb2eCgodnCg0M7BQjsHrfZAqD1gteP2HKdMC5hjonxhtjLU+r9PTTQr1IqIiMgJU9gNksa+oYTd4eKAtTLMVvk6UGjnUJEDz/HWHQAG4LTkWDJOiyMjLY7mab5fM06LJyVBlVoREREJPoXdIAnnrYLdHg9FpU4Kih0cKi6noKScgmIHBcXlgWOl9mN3PKgqPtbkC7FpcYFg2ywtjmapFq2pFRERkVNKYTdIqlZ2Y0OoG0O500WRzUlRqZMim5PCUgfWksNBtqCknMISZ60qs35RRgOnJcXSNCWWpqlxvl+TLaSnWmiSbCEuVn+sREREJDQolQTJqVrG4PV6KXe6KbVXBL58QdZBUamTQpuT4lIHhTZfuHU4j74V7tEYDQZSE82kJZk5LSmWNH+wTbHQNMVCWpKZKKOxHt6diIiISHCdcNjdu3cv27Zto1evXthsNpo0aRLMcYUdf9sxU7SR6Jhjf1Tv9XpxVLixO9yUO13Vfi0rr6C03BdibfYKSu0uSsuclJa7Asdqc8PXsSTGRZOWFOsLsolm0pJiSUsyB44lx8dgNGr9rIiIiIS/Ooddp9PJlClT+OyzzzAYDHz++ec88cQT2Gw2XnjhBRISEupjnPVi38FSrIVlVFS48XjB4/Hi8XrxesHj9eLxePFW/urxgtvjpcLlocLt9v1a5St/cz4AboOBfy3cQIXbQ0WFh/IKN+UOF3anG7vDRbnTF2zrsGqgVkxRBpLjzSQnxJAcH0NygpmU+BiSEmJIqXI8KT4GU5SqsiIiIhIZ6hx2X3rpJXJycnjzzTeZPHkyBoOB8ePHc/fddzNjxgweeuih+hhnvbju8S+Ddq52GDgNAyVOF9+v3X9S5zIaDCRYTMRbokm0RBNviSahytdvf5+cEEOc2aRuBiIiIiK/Ueew+8knn/DAAw9w7rnnBo716tWL6dOnc9ddd4VV2A0GAxAdbSTWDXjAaIqiZaqZ6Cgj0SYjsTEmYmOisJijiI0xYTGbsMREEWv2HzdhiTERa47C4n/cHKXgKiIiIhIEdQ67eXl5ZGZmHnE8IyODoqKioAzqVHlg0rnYbA68Xi9GgwGjAYxGA0aDAYPBgNFI5XEDBqPv8RhTFNEmY+Aryuh77vuvfY81v4yzu6Yz5PddGvqtiYiIiAgnEHbbt2/PihUraN26dbXjCxcupEOHDkEb2KnQ6/RmWK02XC7PSZ+rPLBVcOi0HRMRERGJdHUOuzfddBO33XYbW7duxeVyMWfOHLZt28bnn3/Os88+Wx9jDHkej5dyuz/sNr7d00RERETCVZ1vyx8yZAjPPfcc69atIyoqitdff509e/Ywc+ZMRowYUR9jDHmO8opAdwVVdkVERERCxwn12R04cCADBw4M9ljCVrXd01TZFREREQkZdQ67c+fOPebjY8aMOeHBhCu7zRn4XpVdERERkdBR57A7derUGo/HxMSQkZERmWG36lbB8arsioiIiISKOofdnJycar93uVzs3LmTBx98kMsuuyxoAwsn5VXDrkWVXREREZFQcdL7xppMJtq3b88999zDc889F4wxhZ2yMt8yhhhzFFEmbcUrIiIiEiqClsyMRiN5eXnBOl1YsZep7ZiIiIhIKArKDWolJSV88MEHnHnmmUEZVLgpr6zsWuK1hEFEREQklATlBjWTyUTPnj158MEHgzGmsGO3VVZ2LarsioiIiISSk75BTcCuyq6IiIhISNLdVEGgNbsiIiIioalWld2hQ4diMBjw+vfEPQqDwcCXX34ZlIGFC7fbg6PcBUCsNpQQERERCSm1Crtjx46t1ckMBsNJDSYcldur9NhV2BUREREJKbUKuzfddFN9jyNs+W9OAy1jEBEREQk1db5BDXw3qW3atAmPxwOA1+vF4XDwyy+/MH369KAOMNSV252B71XZFREREQktdQ67//rXv3jiiSeOPJHJRN++fYMyqHBSVrWyG6/KroiIiEgoqXM3hnfeeYdJkyaxZs0a0tLS+Oabb5g3bx5ZWVlMmjSpPsYY0vxtxwBiLSdUKBcRERGRelLnsJubm8tll12G2WymS5curFu3js6dO3P33Xfz/PPP18cYQ1p5ZduxWIsJo1Gd3ERERERCSZ3TWVxcHC6Xr9VW69at2bJlCwDt2rXjl19+Ce7owoB67IqIiIiErjqH3Z49e/Lqq69it9vp2rUrX331FW63m59//pmkpKT6GGNIs9sqd0/TzWkiIiIiIadWYXfEiBG8/vrrHDp0iDvuuIOlS5fyzjvvMHLkSPLz8+nTpw9TpkypdT/exsRe2WdXN6eJiIiIhJ5a3VHVq1cvXnrpJZ599lkGDx7Mww8/zJlnnklCQgL/93//x8cff0zz5s0ZMWJEfY835Pgru9o9TURERCT0GLzH2wO4ksPhYNGiRcyZM4cVK1bQpEkTxowZQ3Z2Nq1bt67vcdYbq9WGy+U54de/9sxSKpxuevVvS+/+bYM3MAkqk8lIamr8Sc+3hAfNd2TRfEcWzXdk8c/3SZ2jtk80m82MHDmSkSNHcvDgQebPn8/cuXN55ZVX6NOnD9nZ2Vx00UXExETOx/kul5sKpxvQml0RERGRUHRCvbKaNm3KxIkTWbBgAR999BHdunXjueeeo3///sEeX0jztx0DhV0RERGRUHRSjWE9Hg8HDx7k0KFDFBUVER9/cmXmcGOvFnYjp6ItIiIiEi5OaMuv1atXs2DBAj799FNKSkoYOnQoTz/9dMRVdstsh3dPs8SrsisiIiISamoddrdt28aCBQv4+OOP2b17N506deK6665j1KhRpKWl1ecYQ1a5KrsiIiIiIa1WYfeSSy5h/fr1JCYmMnLkSP74xz/SvXv3+h5byLOX+Sq7BgOYY0+oSC4iIiIi9ahWCS0+Pp4nn3ySiy66CLPZXN9jChtVtwo2GAwNPBoRERER+a1ahd233367vscRlvxhVxtKiIiIiISmk+rGEOn8yxjUdkxEREQkNCnsngS7rXIZQ7xuThMREREJRQq7J6FclV0RERGRkKawe4K8Xm+1G9REREREJPQo7J4gV4Ubl8sDqLIrIiIiEqoUdk+QtgoWERERCX0KuyeoethVZVdEREQkFCnsniC7zRn43hKvsCsiIiISihR2T5CWMYiIiIiEPoXdE+TfUMIYZSA6JqqBRyMiIiIiNVHYPUFV244ZDIYGHo2IiIiI1ERh9wRpq2ARERGR0Kewe4LKA5VdhV0RERGRUKWwe4LsNu2eJiIiIhLqFHZPUGAZg9qOiYiIiIQshd0T4PV6q92gJiIiIiKhKezD7vPPP0///v3p06cP9913H06n8/gvOklOhwuPxwtoza6IiIhIKAvrsPv666/z7rvv8vTTT/Paa6+xcuVKXnjhhXq/rjaUEBEREQkPpoYewInyeDy8/vrr3H333fTt2xeAm266iblz59b7tbVVsIiIiEh4CNuwu3nzZqxWK8OGDQscGzVqFKNGjar3a1et7MZaFHZFREREQlXYLmPYvXs3ycnJ/Pzzz4wZM4bBgwfz6KOPnpI1u1rGICIiIhIeQrqy63A4yM3NrfGxkpISysvLeeaZZ7jnnntwu9088MADeDwepk2bVq/j8rcdM0UbiY6JqtdriYiIiMiJC+mwu3r1aq655pojjhsMBp5++mnKy8uZNm0avXr1AuDuu+/mjjvuqFPYjYqqe3HbUe4CIC4uBpMpbIvjEcU/zycy3xJ+NN+RRfMdWTTfkSUY8xzSYbdv377k5OTU+Nj3338PQLt27QLHsrKycDgcFBQUkJaWVqtrJCVZ6jwud4UHgITkWFJT4+v8emk4JzLfEr4035FF8x1ZNN9SWyEddo+la9euREdHs2HDBs4//3wAtm7dSnx8PCkpKbU+T3GxHbfbU6drF1nLAIgxR2G12ur0WmkYUVFGkpIsJzTfEn4035FF8x1ZNN+RxT/fJyNsw25CQgKXXXYZjzzyCE888QQej4ennnqKyy67DKOx9iVvt9uDy1W3vyxllTeoxcZG1/m10rBOZL4lfGm+I4vmO7JovqW2wjbsAkydOpUZM2Zw7bXX4vV6+cMf/sDtt99e79f199lVj10RERGR0BbWYTc6Opp7772Xe++995Rd0+v1Um73VXbVdkxEREQktOlWxjoqt1fg9fq+t8SpsisiIiISyhR266ja7mmq7IqIiIiENIXdOvKv1wVVdkVERERCncJuHVXbKjhelV0RERGRUKawW0flVcOuRZVdERERkVCmsFtHZWW+ZQwx5iiitFWwiIiISEhTWqsj/zIGtR0TERERCX0Ku3VUXlnZ1c1pIiIiIqFPYbeO7DZVdkVERETChcJuHdnLtFWwiIiISLhQ2K0j/5rdWC1jEBEREQl5Crt14HZ7cJS7AC1jEBEREQkHCrt1UG6v0mNXlV0RERGRkKewWwfVNpRQZVdEREQk5Cns1oH/5jRQZVdEREQkHCjs1kGZrUplN16VXREREZFQp7BbB1Uru7EWUwOORERERERqQ2G3DvxrdmMtJoxG/ehEREREQp0SWx34e+zq5jQRERGR8KCwWwd2W+Xuabo5TURERCQsKOzWgd3u3z1NlV0RERGRcKCwWweBym68KrsiIiIi4UBhtw60ZldEREQkvCjs1pLL5abC6Qa0ZldEREQkXCjs1lL1rYIVdkVERETCgcJuLdmrhV0tYxAREREJBwq7tVR19zTdoCYiIiISHhR2a8luU2VXREREJNwo7NaSv7JrMIA51tTAoxERERGR2lDYVjvdqgAAIABJREFUraWqbccMBkMDj0ZEREREakNht5b8YTdWnRhEREREwobCbi35lzGo7ZiIiIhI+FDYrSX/DWqWeN2cJiIiIhIuFHZrqdxf2bWosisiIiISLhR2a8Hr9VJWpsquiIiISLhR2K0Fp8ON2+UBIE5hV0RERCRsKOzWgnZPExEREQlPCru1UGY7HHZV2RUREREJHwq7tWBX2BUREREJSwq7teBvOwa+HdREREREJDwo7NaCfxlDjNlElEk/MhEREZFwoeRWC/6wG6eb00RERETCisJuLfjX7KrHroiIiEh4UdithbIyf2VXYVdEREQknCjs1oL/BjWFXREREZHworB7HF6vN7BmV8sYRERERMKLwu5xVDgPbxWs3dNEREREwovC7nFU2z1NPXZFREREworC7nFU2z0tQWFXREREJJwo7B5HmXZPExEREQlbCrvHUbWyqzW7IiIiIuFFYfc4Dm8VHIXJFNXAoxERERGRulDYPQ57mdqOiYiIiIQrhd3j8Fd2taGEiIiISPhR2D0O7Z4mIiIiEr4Udo8jsHuaOjGIiIiIhB2F3WPwer2Bbgxx6sQgIiIiEnYUdo+hwunGFdgqWJVdERERkXCjsHsM/k4MoDW7IiIiIuFIYfcYykqrbiihsCsiIiISbhR2j6HqVsGq7IqIiIiEH4XdY6i6jEFbBYuIiIiEH4XdY9BWwSIiIiLhTWH3GPxtx7ReV0RERCQ8KeweQ2CrYG0oISIiIhKWFHaPwb9VsCq7IiIiIuFJYfcYyrR7moiIiIQZq7WAiRPH4Xa7qx2/665bePTRh475WofDwWOPPcyIEUMYPXoE778/K/BYRUUFEyZchdVqrZdx1xeF3WPwd2NQZVdERETCxYsvPkd29p+Iijp8c/2iRZ/z3Xff1uK1/8umTTk8//zL3HHHVP71r1dZvPhLAKKjo8nO/hMvvfRcvY29PijsHkWF04WrwrdVsHrsioiIyKZNOUyYcGVDD+OY9u/fx7JlSxg+fETgWHFxES+++BxdunQ95mvtdjsffzyPW265k44dOzNw4GD+/Oer+eijDwLPGT58BMuWLSE3N7fe3kOwKewehX8JA6iyKyIiItCmTRaPPfZ0Qw/jmObNm03fvv0wmUyBYy+8MJMRI0aSldXumK/dsmUTLpeLbt16BI51734m69f/Evh9dHQ0vXv3Yd68j4I/+HpiOv5TIpN2TxMRkUhUVu5if4HtlF6zeVo8cbGhH0nMZjPNmmU09DCOaeXKb8nOvjzw+59++oG1a9fw73+/x1NPPYbBYDjqaw8dyiclJaVaUE5LOw2n00lRUSHJySkA9O7dl9mz/8N1191Qf28kiEL/T1YDsVet7MbpBjUREWn8yspdTHnpW8ocrlN63TiziScnn1frwFteXs67785izZpVjBw5muLiIjZv3kj//oPo2fMcXC4X7733NhaLhdjYWAAGDx7GggVzWbt2FePGjWfr1i3YbKXk5+dz4423Vjv/ihXL2bt3N9HRMbhcLi655FJmz/6QTZtyGDs2O7AcwOPx8MEH7wKQmJjEzp3bmTz5ZkpLS/nkk3msWXP8awWTy+Vi27attGmTBfhuNpsx4zHuuGMKZrP5mEEXfD/X6OjqBb7oaF8Gqqg4XARs0yaLrVs34/V6j3vOUKBlDEdRdRmDKrsiIiKhY9GiRYwePRar1YrT6WDEiJGMHn0Jzz//DACPP/4IFouF7OzLGTJkGPn5+SxZ8jWXXno5u3btZN++vYwaNYZRo8Ywb97saucuK7Pxyiv/IDv7crp378Hy5UtZvnwJQ4cOp6Kigtzc/YHnzpjxGACXX34VI0f+gcLCQr7++kuWLPma7OzjXyvYSkqK8Xg8pKT4KrD/+terdOlyOr17nwuA1+s95utjYsxUVDirHfOHXLM5NnAsOTkZj8dDUVFRMIdfb1TZPQp71a2Co7VVsIiINH5xsb4Ka6gvYxg0aBB2u5s9e3YzcOAQAPLycrFarezcuYPFi7+kT59z+fzzhbjdbq64YhwuVwVFRYXY7XaGDbsIgI0bc2jbNqvauaOiTJSUlDBhwlX063c+06c/DoDH42XVqp+YOvU+ADZs+JXly5dw550LA68tKSkmLy+X0aPH1upawWeoHKuv5diXX/6XgoJ8hg8fCBAIsosXf8UXX3xzxKubNm1KYWEhHo8Ho9FXDy0oOITZbCYxMTHwPI/HF5qNxtCv6oLC7lH5K7sW7Z4mIiIRJC7WRPsWyQ09jGNKTEzkxx+X0aVL10AoW7nyO3r37suWLZvJymrHhRf+rtprzGYzy5YtoVevPoFjX321iOHDL8JmKyU+PgGAmJgYZs36kBUrljFr1r9JT2/G6NGXMHv2hwwaNASPx4PL5WLVqp/p2fPsQHsvh8PB2rWrmTDhWuLi4lm69JvjXut4HI5y3n33bcaP/59aPT85ORmj0RiouD7//D9xuw8vSfG1DDMwefJNNb6+Y8fOmEwmfvllLT16nAXA2rWrOf30M6o9r6iokKioKJKSQvvPiZ+WMRyFdk8TEREJXatW/UT79h0AsFqtfPvtUiZOvI7MzMxq6049Hg8ffzwXgB9//J5zzukN+D7SX7x4ERdccCHz5s0BfG27Ro4chsFgYMiQYQwbdhHp6ekA/Pe/nzJixEgWLlyAwWCgSZOm1T7af//9WYwYcTEdO3au1bVqw2yOrXXQBTAajXTo0IktWzYDkJGRQcuWrQJfFksccXFxtGzZKvCa4uIibLZSAGJjY/nd7y7mqaceIydnPUuWLOb992dx6aVXVLvOli2b6dSpS63H1dDCurJ78OBBHn74Yb777jssFgtjxozhtttuC8pi6bIy7Z4mIiISqlat+pnOnU/niy8+IyfnV6ZPf5JmzTJo1iyDwYOH8uGH75OUlITdbmfQoKEA7N27J1DVNBgMdO9+FitWLOPMM3sCkJKSypVXXs3ixV9SVlZGXFwc/fr1B6B9+07k5KynbdssoqKiGD78IrZv38r8+XMoLy8nOTmZa66ZGBjf0a7Vo8dZrFmzmh9++I6srPakp6ezaNHnnHfeAKzWAhISEujffxCbN2/k559/pGPHzhgMBlasWMYZZ/QgJSWFtWtXM27c+Bp/Ln379mPt2tWMHZt9xGM15aO//W0KzZu34N57HwDgpptu46mnHuemm64nMTGRiROvZ+DAwdVes3btas4997y6TFeDMniPt1o5hE2aNAmXy8V9991Hfn4+d9xxB5MmTeIvf/lLrc9htdpwuTxHHH/n5e8oLiznjLNbMPDCTkEctTQEk8lIamr8UedbGhfNd2TRfEcWk8lIYqKZgQMHMXfup2HRDeC38vJyef31fzJ58s0kJSVx11238MwzL/DDDyvJy8vl4otHk5eXywcfvBuoqr788gtMmfI3oqKMzJz5FHffPa3Gc+/du4eJE8cxb95nmM3moI/dbrczduzvefPN98jIqP82bP6/3ycjrJcx/PTTT4wfP5727dvTt29fRo0axXfffReUc/vX7KoTg4iISGhZt24dWVlZYRl0AdLTm1FSUkJqaio5ORsCleUlSxZz1llnU1xcTEpKCoWFVgCaNGmKx+MhLi6OpUu/4dxzz6vWFaKqli1bcd55/fnii0/rZexffPEp558/4JQE3WAJ67DbrVs35s2bR3l5OXl5eSxdupSuXY+9FV5taKtgERGR0LR9+zZeeOEFrFYrP/wQnALXqbZ79y66du0GwK+/ruW88wYAYLHEsn37VpKSkigqKiIjowUHDuSxaVMOZ599DgBFRUW4XK5jVm1vuOEWZs/+AJcruP2SKyoqmDPnP/XaK7g+hPUyhry8PK644gpyc3PxeDycf/75vPLKK4E7I2ujpo+9iqx23v3nSgBGXNKNrE5NgjpuOfX0MWdk0XxHFs13ZNF8R5ZgLGMI6RvUHA4Hubm5NT7WtGlT7rzzTlq2bMnMmTM5cOAADz74IK+++irXX3/9SV232u5pukFNREREJGyFdNhdvXo111xzzRHHDQYDt956Kz/99BNLliyhSRNf5dVut/Pggw9y7bXXBvruHU9U1JHPc5QfLvsnJsViMoX1ag/h8DzXNN/S+Gi+I4vmO7JoviNLMOY5pMNu3759ycnJqfGxhQsXkpaWFgi6AKeffjo2m43CwkLS0tJqdY2kJMuRB70HA9+2bJVCdExI/5ikDmqcb2m0NN+RRfMdWTTfUlthm+Jat26N1WqloKAgEGy3bdtGXFxcrYMuQHGxHbe7+pqf/AMlAETHRFFqc4DNEbyBS4OIijKSlGSpcb6l8dF8RxbNd2TRfEcW/3yfjLANu927d6dHjx5MmTKFqVOnUlBQwIwZMxg3blydzuN2e45Y4F5aerjtmBa/Ny41zbc0XprvyKL5jiyab6mtsF7w8o9//IOkpCSuvPJK7r77bkaOHMnNN9980uf136Cmm9NEREREwlvYVnYB0tLSeOaZZ4J+3kDYjVOPXREREZFwFtaV3foS2D0tQWFXREREJJwp7NYgEHZV2RUREREJawq7v1HhdAe2CrZoq2ARERGRsKaw+xv2ssO7p8XpBjUREREJMVZrARMnjsPlcvHNN18zYEDval/33Tf1qK/ds2c3t99+I8OHD+SPf7yYd999u9rjRzufy+ViwoSrsFqt9f32gi6sb1CrD2XVtgpWZVdERERCy4svPkd29p8wmUzs2LGN/v0HMmXK3wKPx8TUnF88Hg933XULXbt2480332XXrp089NDfaNq0KcOHjwA46vlMJhPZ2X/ipZee4957H6jfNxhkquz+ht1WtbKrsCsiIiI+mzblMGHClQ06hv3797Fs2ZJAON25cwdZWe1JTU0LfMXHJ9T42oKCAjp16sKdd95Dy5at6NfvfM45pzdr164JPOdY5xs+fATLli0hNze3/t9oECns/oYquyIiIlKTNm2yeOyxpxt0DPPmzaZv336YTL4P53fs2E7r1pm1em2TJk146KFHsVgseL1e1q5dzZo1qzj77HMCzznW+aKjo+nduw/z5n108m/kFNIyht8os1UAvq2Co6OjGng0IiIip5bdZSfXdvCUXjMjvikW08ltCXsqmM1mmjXLaNAxrFz5LdnZlwPg9XrZtWsHK1eu4K233sDj8TBkyDAmTbo+EIaPJjt7FAcO5HH++QMYNGhorc/Xu3dfZs/+D9ddd0P9vtEgUtj9jcMbSujmNBERiSx2l537vn0cu8t+Sq9rMVl45LyptQ685eXlvPvuLNasWcXIkaMpLi5i8+aN9O8/iJ49z8HlcvHee29jsViIjY0FYPDgYSxYMJe1a1cxbtx4tm7dgs1WSn5+PjfeeGu1869YsZy9e3cTHR2Dy+XikksuZfbsD9m0KYexY7Pp0qUr4FsD+8EH7wKQmJjEzp3bmTz5ZkpLS/nkk3msWXP8a9WFy+Vi27attGmTBUBeXi4OhwOz2cwjjzzBvn17mTlzBg6Hg1tuueOY53r00ac4dCifp556jOeee4Zbb72zVudr0yaLrVs34/V6MRgMJ/xeTiUtY/iNQI9dLWEQEREJSYsWLWL06LFYrVacTgcjRoxk9OhLeP55366qjz/+CBaLhezsyxkyZBj5+fksWfI1l156Obt27WTfvr2MGjWGUaPGMG/e7GrnLiuz8cor/yA7+3K6d+/B8uVLWb58CUOHDqeiooLc3P2B586Y8RgAl19+FSNH/oHCwkK+/vpLliz5muzs41+rrkpKivF4PKSkpACQkdGczz77mnvuuZ8OHToycOBgbrnlDubPn43X6z3muTp37sJ55/Xn5ptvZ/782bhcrlqdLzk5GY/HQ1FR0Um9l1NJld3f8Lce03pdERGJNP4Ka6gvYxg0aBB2u5s9e3YzcOAQwFfltFqt7Ny5g8WLv6RPn3P5/POFuN1urrhiHC5XBUVFhdjtdoYNuwiAjRtzaNs2q9q5o6JMlJSUMGHCVfTrdz7Tpz8OgMfjZdWqn5g69T4ANmz4leXLl3DnnQsDry0pKSYvL5fRo8fW6lp1Z6gciztw5Lc3o2VmtsXpdFJcXERyckq1x6zWAtatW8vAgYMDx9q0yaKiooKyMhtJScnHPZ/H4wu9RmN4VHVBYfcIZaWq7IqISOSymCxkJdfuhqeGkpiYyI8/LqNLl64Yjb4PqVeu/I7evfuyZctmsrLaceGFv6v2GrPZzLJlS+jVq0/g2FdfLWL48Iuw2UoDIS8mJoZZsz5kxYplzJr1b9LTmzF69CXMnv0hgwYNwePx4HK5WLXqZ3r2PJuoKN/9PQ6Hg7VrVzNhwrXExcWzdOk3x73Wb11xxSVkZrZhwIDBXHzx6CMeT05Oxmg0BqqqK1eu4KGHpjFnzieYzb7lGps3byI5OeWIoAuwd+9epk2bwuzZn9CkSVMANm7cQGpqGklJybU6X1FRIVFRUSQlJR9vmkKGljH8hr3Md4OaKrsiIiKha9Wqn2jfvgMAVquVb79dysSJ15GZmUl09OF/wz0eDx9/PBeAH3/8nnPO6Q34bsZavHgRF1xwIfPmzQF8bb1GjhyGwWBgyJBhDBt2Eenp6QD897+fMmLESBYuXIDBYKBJk6aBQAjw/vuzGDHiYjp27Fyra9Vk/Pj/4Yknnq0x6AIYjUY6dOjEli2bAeje/UxiY2N5/PHp7Nq1kxUrlvPSS8/x5z9fHXhNcXERNlspAF27nkHnzl149NGH2bFjOytWLOOll57j6qvH1/p8W7ZsplOnLseenBAT9eCDDz7Y0INoSOXlFYGSfEWFmx+X7QCgw+lNSW+e1IAjk2AyGg1YLDHV5lsaL813ZNF8Rxb/fL/44ks0adKUgoICvvrqC66//iZat87ktNOaYLOVsn79r+zZs4tff13HgAFDsFgsvP/+LMaN+wsWSxwGg4F169ZiMECXLmeQnp6OyWQiOtrEgQN5rFu3hpiYmMAyhJycDXg8btq0yaJly1a0a9eeDRt+Zd++vaxZs5r4+DiuuWZiYJxHu1bnzl3Jzz/IJ5/MZ//+fRQXF7F8+VLOOKMbCxbMxWSKZvHir+je/cwa339eXi5bt25m8OChREdH06dPPxYv/pLXX3+F779fwZgxf2TcuPGB59955y38+usvDBgwGIPBwHnnDeDHH1fy6qsvsnLlCrKz/8QVV4wDqNX5/u//3qFbt+707HnOEWOrD/75PhkG7/FWMDdyVqsNl8sDQHGhnXdeXgnARWPPoF3npg05NAkik8lIamp8tfmWxkvzHVk035HFZDKSmGhm4MBBzJ37adh0BKgqN3c/s2d/yCWXXEZ6ejp//eskXn75DZxOJzExMbz11ht069aDs8/udcRr9+7dw8SJ45g37zPMZvMpHbfdbmfs2N/z5pvvkZFxalqw+f9+nwwtY6ii6oYScQlaxiAiIhKK1q1bR1ZWVlgGXfB1UcjPP0hGRgbr1q2hR48z+fzzhSxd+g0ApaWlR31ty5atOO+8/nzxxaenargBX3zxKeefP+CUBd1gUditQlsFi4iIhLbt27fxwgsvYLVa+eGH7xp6OCekpKSEQ4cO8cMP37F27Wquv/4mevXqg9lsZsmSxWRkNK+xqut3ww23MHv2B7hcrlM25oqKCubM+c9J9QluKFrGUOVjr19X7WPJ55sAmHT7AKJjtINaY6GPOSOL5juyaL4jS2OY7yVLFuN0OgLrgeXotIwhyPyVXVO0UUFXREREgq64uJiPP55LeXl5Qw8lYqjPbhVlZeqxKyIiIvUnKSmJJ5+c2dDDiCiq7FahDSVEREREGheF3Sq0VbCIiIhI46KwW4Xdpt3TRERERBoThd0q/H124+KiG3gkIiIiIhIMCruVKircVDjdgCq7IiIiIo2Fwm4lbSghIiIi0vgo7FYqU9gVERERaXQUdiv5b04DLWMQERERaSwUdiv5244BxMXrBjURERGRxkBht1JZta2CtbGciIiISGOgsFsp0HZMSxhEREREGg2F3Ur+bgxarysiIiLhxGotYOLEcbjd7mrHnU4n48ZdxqpVP1U7fvDgAaZNm8Lvf38BY8f+nueffxan00lNvvnmawYM6F3t6777ptbq8YqKCiZMuAqr1Rrkd1w3+ry+UlnlDWpxcQq7IiIiEj5efPE5srP/RFRUVOCYw+HgoYemsWPHdgwGQ+C41+tl2rS7SU5O5sUXX6OoqIjHHnuYqCgjf/3rLUece8eObfTvP5ApU/4WOBYTE1Orx6Ojo8nO/hMvvfQc9977QFDfc12oslvpcGVXN6eJiIjIkTZtymHChCsbehjV7N+/j2XLljB8+IjAse3bt3HddePZt2/vEc/ftWsn69f/wj33PEDbtlmceeZZTJp0Hf/97+c1nn/nzh1kZbUnNTUt8BUfn1Drx4cPH8GyZUvIzc0N4ruuG4XdSv5uDFqzKyIiIjVp0yaLxx57uqGHUc28ebPp27cfJtPhD+vXrPmZc87pzT//+cYRzz/ttCY888zzpKamBo55vV5KS0trPP+OHdtp3TrzqNc/3uPR0dH07t2HefM+qs3bqRdaxgC4Ktw4HdoqWERExF1WhjN3/ym9ZkxGc6Li4k7pNU+E2WymWbOMhh5GNStXfkt29uXVjo0Zk33U5yckJNC797mB33s8HmbP/oBevfoc8Vyv18uuXTtYuXIFb731Bh6PhyFDhjFp0vWYTKbjPu7Xu3dfZs/+D9ddd0MQ3nHdKeyi3dNERETAF3S3T70TT1nZKb2uMS6OrMefqnXgLS8v5913Z7FmzSpGjhxNcXERmzdvpH//QfTseQ4ul4v33nsbi8VCbGwsAIMHD2PBgrmsXbuKcePGs3XrFmy2UvLz87nxxlurnX/FiuXs3bub6OgYXC4Xl1xyKbNnf8imTTmMHZtNly5dAV9Q/OCDdwFITExi587tTJ58M6WlpXzyyTzWrDn+tU6Gy+Vi27attGmTdcLnePHF59i8eROvvvrWEY/l5eXicDgwm8088sgT7Nu3l5kzZ+BwOLjlljuO+7hfmzZZbN26Ga/XW2398KmiZQyAvUy7p4mIiISLRYsWMXr0WKxWK06ngxEjRjJ69CU8//wzADz++CNYLBaysy9nyJBh5Ofns2TJ11x66eXs2rWTffv2MmrUGEaNGsO8ebOrnbuszMYrr/yD7OzL6d69B8uXL2X58iUMHTqciooKcqtUvWfMeAyAyy+/ipEj/0BhYSFff/0lS5Z8TXb28a91skpKivF4PKSkpJzQ61988Tk+/PA97rvvEbKy2h3xeEZGcz777Gvuued+OnToyMCBg7nlljuYP382Xq/3uI/7JScn4/F4KCoqOuH3ejJU2eW3lV3doCYiIpEpqrLCGurLGAYNGoTd7mbPnt0MHDgE8FUhrVYrO3fuYPHiL+nT51w+/3whbrebK64Yh8tVQVFRIXa7nWHDLgJg48Yc2ratXhWNijJRUlLChAlX0a/f+Uyf/jgAHo+XVat+YurU+wDYsOFXli9fwp13Lgy8tqSkmLy8XEaPHlura508Q+XY3Md53pGeffZJ5s79iPvvn86gQUOO+ryqN5sBZGa2xel0UlxcRHJyynEf943PF3yNxlNf1QWFXeBwJwbQMgYREYlsUXFxWNq1b+hhHFNiYiI//riMLl26YjT6PqReufI7evfuy5Ytm8nKaseFF/6u2mvMZjPLli2ptjb1q68WMXz4RdhspYHQFhMTw6xZH7JixTJmzfo36enNGD36EmbP/pBBg4bg8XhwuVysWvUzPXueHWj35XA4WLt2NRMmXEtcXDxLl35z3GtVVVBwiM8+W0jHjh3Jy8vj4otHA3DFFZeQmdmGAQMGB475JScnYzQa61wxfeONV5g3bzYPP/wYgwYNPerzVq5cwUMPTWPOnE8wm33LQTZv3kRycgrJySnHfdyvqKiQqKgokpKS6zTOYNEyBrRVsIiISLhZteon2rfvAIDVauXbb5cyceJ1ZGZmEh19uHDl8Xj4+OO5APz44/ecc05vwHfz1eLFi7jggguZN28O4GvjNXLkMAwGA0OGDGPYsItIT08H4L///ZQRI0aycOECDAYDTZo0DQQ8gPffn8WIERfTsWPnWl3rt959923OOKMbvXufy+7du9izZzcA48f/D0888ewRQRfAaDTSoUMntmzZXOuf244d2/n3v19n3LjxdO9+JocO5Qe+/IqLi7DZSune/UxiY2N5/PHp7Nq1kxUrlvPSS8/x5z9fDXDcx/22bNlMp05daj3GYFOyo0qPXW0oISIiEhZWrfqZzp1P54svPiMn51emT3+SZs0yaNYsg8GDh/Lhh++TlJSE3W4PVC/37t3D5Mk3AWAwGOje/SxWrFjGmWf2BCAlJZUrr7yaxYu/pKysjLi4OPr16w9A+/adyMlZT9u2WURFRTF8+EVs376V+fPnUF5eTnJyMtdcMzEwvqNdq0ePs1i//he+//47mjXLID29GVu3bqFVq9aUlBQDUFpawqZNG2nVqjXr1/9CWtppbNq0kT//edwRP4e+ffuxdu1qxo49egeGqpYt+waPx8Obb77Gm2++FjhuMBhYsuR7AP72tyk0b96Ce+99gKeffp7//d+nmDTpauLi4hgz5o+BccTFxR3zcb+1a1dz7rnn1Wp89cHgrbqCOAJZrTY++XAd2zYepFmLJC65+uyGHpLUA5PJSGpqPFarDZfL09DDkXqm+Y4smu/IYjIZSUw0M3DgIObO/bRB7u4/Wbm5+5k9+0MuueQy0tPT+etfJ/Hyy2/w3XffkpCQwBdffEqfPv3o338gTqeTmJgY3nrrDbp168HZZ/eqdq69e/cwceI45s37DLPZ3EDv6Ojsdjtjx/6eN998j4yMurdt8//9PhlaxoB2TxMREQkn69atIysrKyyDLvi6HOTnHyQjI4N169bQo8dZrFixHJfLRbduPbDZbPTseTaff76QpUu/ATgv6qy7AAAecUlEQVTqpg8tW7bivPP688UXn57Kt1BrX3zxKeefP+CEgm6wKOwCZdo9TUREJCxs376NF154AavVyg8/fNfQwzkhJSUlHDp0iB9++I61a1dz/fU30qpVa/bt28u8ebMZNuwi4uMT6NWrD2azmSVLFpOR0fyIqq7fDTfcwuzZH+ByuU7xOzm2iooK5sz5T1B7C58ILWOw2vjnjG9wOtycc34b+gwIdlsQCQX6mDOyaL4ji+Y7sjSG+V6yZDFOpyPQlkyOTssYgsDlOrxVsCq7IiIiUp+Ki4v5+OO5lJeXN/RQIkbEd2MoKz3cY1fdGERERKQ+JSUl8eSTMxt6GBEl4iu7ZbbDWwVr9zQRERGRxiXiw2613dMSVNkVERERaUwiPuzaSh2B77WMQURERKRxifiw66/smkxGomOiGng0IiIiIhJMER92/Wt2LfExYducWkRERERqprCr3dNEREREGi2FXZt2TxMRERFprBR2SxV2RURERBorhV3/MgZ1YhARERFpdCI67Loq3DgdLkCVXRERkXDw8MMP0KVLF/r1O4cBA3of8bV69c/1du2ff/6RAQN6B+Vcf//7gzz66ENBOVdV2dmj+PTTj4N+3nAW0dsFV+uxqxvUREREQt4dd9zFtGn3UFhYxueff8Z7773N66+/HXg8MTGp3q7do8dZzJ//eVDOVV8doNRZ6kgRHXZLS6rsnqbKroiISMiLj08gNTUeozGW+Ph4oqKiSE1NOyXXNplMp+xaEjwRHnbLA99bFHZFRERwlLsoLCg7pddMSYvDHBucSJKXl8szzzzBTz/9QGpqGr///SiuuWYiRqORhQsXsGDBHFJS0li16kduv30q8+fP5rzzBvD99ytYt24N7dp14MEH/86sWf9m0aLPOe20JkydOo2zzjqbn3/+kVtumczSpT+wf/8+LrtsNNOnP8k//jGT/Px8evXqw7RpD5GU5KsuL1gwl/fee5v9+/cRHx/P0KHDufXWuzAaj76KdOfOHVx11aV88ME8mjdvAcDu3bu48spsPvroY1JSUnn55ef56qtFWK0FNG2azrhx4/nDH8Yeca4bb7yWs8/uxYQJ1wIExvzhhwvIyMigpKSEmTOfZNmyJVgscQwePJTJk2/GbDYHZS5CRUSHXVvJ4WUMquyKiEikc5S7mPXSd4H7WU6VGLOJqyafe9KB1+v18re/TaFjx87861/vkp9/kBkzHsVgMPCXv0wC4Jdf1nHNNROZPPlGkpNTmD9/Nv/+92vcc8/93HrrXdx7751MmnQ12dl/4vXX3+bll19g5synePPNd2u85qxZ/+Lhhx/D4/EwdeodvP/+LK699q+sWvUT//u/T3H//dPp1KkLOTm/8vDD93POOX0YNGgIXq+3xiUHbdq0pUOHjnzzzVdcfvlVACxe/CXdu59J06bpvPHGK6xYsZy///1JUlPTWLhwAc8++yQDBgwmNTW12rkMBsMxlzU8/vjDeDweXnrpDRyOcmbOfIpnn32SqVPvO9EpCEkRfYOaf81ulLYKFhERCXs//fQDeXm5TJlyL61bZ9Kz5zn89a+38OGH7wWeYzAYuPrqCWRmtiU5OQWA888fyODBF9C2bRYDBgwmISGBiROvIzOzDaNGjWHXrh1HveaECdfRpUtXunbtxvDhI8jJWQ9AXFw899xzPwMHDiYjI4PBgy+gU6fO7Nix7bjv44ILLuSbb74K/P7rr79k6NDhAHTs2Il77rmfrl270bx5C8aNG4/L5WL37p11+lnt3buHZcuWMG3aQ7Rr157TTz+DKVP+xqeffkxZma1O5wp1EV7ZreyxGxetBd0iIhLxzLG+Cmu4LmPYuXM7xcVFXHjhoMAxr9eD0+mkuLgIgNTUVGJiDn+aazAYaNGiZeD3MTExNGuWEfi92WymoqLiqNds3Toz8H1cXBwul68q3rlzF2JiYnj99X+yffs2tm3bwp49u+nbt99x38cFF1zIq6++xKFD+TidTrZu3czQocMAGDBgMD/88B3PP/8su3fvZOPGHAA8Hs9xz1vVjh3b8Xg8jBnz+2rHvV4ve/bsplOnLnU6XyiL6LDrX7NrSdASBhEREfAF3mYt6q+jQX1yu91kZrbh8cefOeKx+PgEAGJijlyPGhVV/dPduhTATKbq3Zy8Xi8AK1eu4N577+R3v7uYfv3OZ8KE/+Hpp5+o1TmbN29Bly5d+eabr3E4HJx11jmBG+NeeeVFPv54HiNH/oERIy7m9tuncumlo2o8z2/fh9vtrvZ9fHxCtU4Wfk2aNK3VOMNFRC9jKK1csxunDSVERETCXmZmW/Ly8khJSaFly1a0bNmK3Nz9vPbay6fsE1z/dRYsmMPFF4/mzjvvYeTIP5CZ2ZY9e3YHwvDxXHDBhXz77VKWLfuGYcMuDByfP382t98+heuuu4GhQ4dht/uq8DWd12SKxmY7vCRh3769ge8zM9tgs5UCBH5WTqeTF16YecxKdjiK6LDrv0FNnRhERETCX58+55KRkcHDD9/Htm1bWLNmNU88MR2LxXLUDgher7fWAbQ2/OdKSkpm3bo1bNu2hW3btvLoow9RUlKM0+k8zhl8hg4dzpo1q9i4cQODBg0NHE9MTGLZsiXs3buHNWtW8/e/P0hUVFSNAfX007vy1Vf/JSdnPRs2/Mprr70ceKxt2yz69u3Hww/fR07OejZuzOHRRx/E4SgnISHhJH8KoSWyw25p5ZpdhV0REZGw46uiHq7YGo1GHn/8GbxeL9de+xemTZtCv37nc+utd9X4fP+xqlXfmjoY/Pbxmr7/7WsnTLiO5OQUrrtuPHfddQsdOnTiiivGsXnzphpf+1tNmjShS5eu9Ox5TqCVGcDUqfezefNGxo37EzNnPsnEiddxxhnd2bQp54hz/OlPV9K5cxduuOF/eOih+xg/flK1695338M0b96CW26ZzG233UDr1m148MFHjzmucGTwBvN/Z8LMw3csAKD/8A50P6dVA49G6pPJZCQ1NR6r1YbLVbdF/BJ+NN+RRfMdWTTfkcU/3ycjoiu7fqrsioiIiDROCrtoza6IiIhIY6Wwiyq7IiIiIo2Vwi5gUesxERERkUYp4sNuVJSRGLO2ChYRERFpjCI+7MYlxGirYBEREZFGSmFX63VFREREGq2wCLter5cJEyYwZ86casetVis33XQTZ599NhdccAHz58+v87kVdkVEREQar5APux6Ph+nTp/Ptt98esdzgnnvuwWaz8cEHHzB58mSmTZvG2rVr63R+S3x0MIcrIiIiIiHE1NADOJa8vDzuvPNO9u7dW22rPIBdu3axePFivvrqK1q0aEGHDh1YvXo17733Hj169Kj1NVTZFREREWm8Qrqyu379elq2bMlHH31EQkJCtcfWrFlD8+bN/7+9Ow+K6szaAP4QsBsDidrs7R7Lio5Ld5MAIgQhmKSULBodZlxiFhDMuGApbiU6yrAkCgQNcUkKMTGJEpVNxRkHM6LRYBAExoWoGEmHzQYVg0A3S39/pKa/6UKdCA1Xbj+/KsrifW+/99Q9hZy+vPc05HK5YczV1RXnz59/pHM8aSs1SaxERERE9Ph5rO/s+vn5wc/P775zGo0Gjo6ORmN2dnaoqal5pHPwzi4RERGReAla7Gq1WlRXV993ztHREX379n3ga5uamiCRGBeqEokEOp3ukWJ4knt2iYiIiERL0GK3qKgIb7/9dodxCwsLJCUlwd/f/4GvlUqlHQpbnU4Ha2vrR4rh6f59YWX1WO/mIBOwtHzC6F8SN+bbvDDf5oX5Ni+myLOgxa6HhwdKS0s79VonJydoNBqjsdraWjg4OPzuNdbHv9apc1Pv9fTTD/5rAYkP821emG/zwnzT79Vr3xYplUpUVlYa7dEtKCiASqUSMCoiIiIiepz02mJ38ODB8Pb2xooVK/Djjz9i//79OHLkCGbPni10aERERET0mOi1xS4AbNq0CTY2NggMDMSnn36K2NhYjBs3TuiwiIiIiOgxYaHX6/VCB0FERERE1B169Z1dIiIiIqKHYbFLRERERKLFYpeIiIiIRIvFLhERERGJFotdIiIiIhItQT9BjYiIiIjoP2pra1FdXQ2dToe+ffvCwcEB9vb2XVrTLIpdrVaL0tLSDhdv1KhRkEqlQodHJtTU1IS///3vOH/+PGpqaqDT6WBtbQ1HR0colUpMmTIF1tbWQodJJlRRUYGioqIO+VYoFBg4cKDQ4ZGJMd/mhfk2D3q9HikpKfjyyy9RWVnZYV4ul2PevHl45513OrW+qPvsNjc3Y/PmzTh48CBaWlrQv39/SCQS6HQ63LlzB1ZWVggMDMSKFSsgkUiEDpe66OLFiwgNDYWNjQ1cXV0hk8kM+a6trUVhYSGam5vx2WefYdSoUUKHS110+/ZtrFmzBrm5uXBxcYG9vb1RvquqquDn54fY2Fj069dP6HCpi5hv88J8m5fNmzfj0KFDCA8Ph6urq1G+NRoNCgoKkJCQgGnTpmHZsmWPvL6oi921a9eiuLgYGzduhEKhgJXV/9/Ibm1tRVFRETZs2AClUomoqCgBIyVTmDlzJlQqFdauXXvfeb1ej+joaPz73/9GampqD0dHprZo0SLU19dj8+bNcHZ27jBfVVWFlStXYsCAAdi6dasAEZIpMd/mhfk2Lx4eHti6dSs8PDweeMzZs2exdOlSfP/9949+Ar2IqVQqfUlJyUOPKS4u1j///PM9FBF1J4VCoS8rK3voMVevXtWPHz++hyKi7qRQKPSlpaUPPeby5ct6pVLZQxFRd2K+zQvzbV4mTJigLygoeOgxZ8+e1bu5uXVqfVF3Y7CxscGtW7ceeszNmze5hUEkRo4ciQMHDjz0mNTUVIwYMaKHIqLuZG9vj9LS0ocec+HCBfTv37+HIqLuxHybF+bbvMyYMQPLly9HRkYGfvnlF+h0OgCATqdDZWUlsrKyEB4ejjfffLNT64v6AbWgoCCEh4fj7bffhpubGxwdHY32/Jw7dw7JyckICQkROlQygY0bNyIkJAT//Oc/8dxzzxnyrdVqDXt2f/31V+zYsUPoUMkEli5dioiICOTl5T3w5zszMxORkZFCh0omwHybF+bbvISHh0MmkyExMRHV1dUd5uVyOebOnYvg4OBOrS/qPbsA8I9//ANffPEFLly4AK1WaxiXSqUYN24cZs+ejalTpwoYIZlSY2MjsrOzUVxcDI1Gg+bmZkilUjg5OUGhUOCVV16Bra2t0GGSiZSUlODLL7/skO//dN+YNWsWlEql0GGSiTDf5oX5Nk81NTWGfEskEjg5OcHJyalLa4q+2P2PtrY23L171/DD0r9/fzzxhKh3cRARERGZPbOp9iwtLTFgwAC4uLhAJpOx0DVTWq0WGRkZQodBPaS9vf2+PRtJnJhv88J8m5dbt27hxRdf7NRrzb7i02g07LlqRu7evYvVq1cLHQb1kLq6uk7/50i9D/NtXphv82JtbY3p06d36rVms43hQbRaLY4cOdLpJ/zo8dfa2oqGhgY+tWuGWlpaUFhY+NDejSQezLd5Yb7p9zL7YpfE5fDhwygsLIS7uztefvllxMTEIDU1FS0tLbCzs8OCBQvw1ltvCR0mERER/ZebN28iNzcXDQ0NmDBhAkaPHm0039jYiF27dmHRokWPvLboi93S0lIcPXoU9+7dw4QJEzB58mSj+YaGBkRHRyM2NlagCMlUkpOTsX37dnh6eiI/Px8qlQqXL1/GmjVrMGLECFy4cAFxcXF46623EBoaKnS41EVfffUVZsyYAWtra8NYTk4O9u7di5qaGjzzzDMICgqCQqEQMEoypatXr6KoqAh//OMfAfzWZ/Wbb75BVVUVBg0ahMDAwA6/IEl8QkJCEBUVBUdHR6FDIRMpLCxESEgI7O3tAQA3btzA66+/jqioKMNnIWg0Grzwwgv/s//y/Yi62P3222+xZMkSw5848vLy4Orqiq1bt2LAgAEAunbx6PHi5+eHDRs2YNKkSSgoKMCcOXOwY8cO+Pr6Go7Jzc1FREQETp06JVygZBKjRo3C6dOnYWdnBwDIyMjAunXr8Kc//QnDhw9HaWkpMjMzkZCQ0OFNLvU+2dnZWLlyJSZNmoRPPvkEOTk5CAsLg6+vL4YNG4aysjJ89913SExMZL5FID09HRYWFh3G9Xo9/vrXvyIsLMzwsz9t2rSeDo9MLDAwEF5eXggLCwMAnDx5EmvWrMHQoUPx2WefwcbGpkv1mqg/VCIxMRFr1qzBnDlzAPx2V2Dx4sWYNWsW9uzZAwcHB4EjJFO6c+cOhg8fDgBwdXWFi4tLhxwPGjQITU1NQoRH3SwlJQWrVq3C3LlzDWOjR49m8SMSH330keHNDAB8/PHHCA8Px7vvvms45quvvkJ8fDzzLQIJCQnQaDSwt7fv8CmnLS0t+OKLL2BpaQmAxa4YXL16FfHx8YbvfXx8sHfvXsybNw/BwcHYtWtXl9YXdTcGtVoNHx8fw/cjR47E119/jT59+mDevHmoq6sTMDoyNVdXVyQlJaGxsREWFhb417/+hTFjxhjma2pqEBMTA09PTwGjpO5y584duLu7G415e3vj559/FigiMiWNRmP0INLt27cxYcIEo2O8vb1RUVHR06FRN8jOzkZgYCBsbGwQFRWFb7/91vBlbW2NPXv2GL6n3s/JyQnFxcVGY0OGDEFKSgp+/vlnzJ8/H/fu3ev0+qIudocMGYLc3FyjMZlMhpSUFLS3t2PevHmoqqoSKDoytfXr16O4uBgREREd5nJycuDr64v6+nqsW7dOgOioO6SlpeHMmTOoqKiAj48Pzpw5YzSfk5ODYcOGCRMcmZS7uzs2b95s+IX3+uuvY9++fYb59vZ2JCcnc4+2SDz11FOIjIxEdHQ0oqKiEB4ejlu3bhnm77fFgXqv+fPnIyIiAhs3bkR5eblhfPjw4di9ezfKy8sxd+7cTudd1Ht2T5w4gcWLF8PT0xPLly/Hs88+a5irqalBcHAw1Go1tFotLl++LGCkZCrt7e2ora3t8OBCXV0d1Go1xo8fzw8UEYmoqChcv34dZWVlqKmpgYWFBSwtLZGXlwdbW1u88847OHfuHLZs2QJ/f3+hw6UuqqqqQmhoKKqqquDp6QlnZ2ekp6djwIABGDp0KK5evYr29nakpKRgxIgRQodLJqTT6bBjxw6kpqZiyZIl+OCDD5CVlYXBgwcLHRqZ0MmTJ5GRkYHg4GD84Q9/MJq7efMmPvzwQxw/fhxFRUWPvLaoi13gt24Mhw8fxvTp0w3/ARYUFGDs2LFoa2vDzp07cezYMRw9elTgSImosxoaGlBWVobr168bmo4nJibC398f48aNEzg6MpW2tjacPHkSZ8+ehVqtRmNjI9rb2yGXy6FUKhEQEABbW1uhw6Rucu3aNaxbtw5FRUU4duwYi10zpNfrO3V3V/TF7v2oVCq+KyQi6mUOHz6MgoICeHh4dOijLZPJ8P7777OPtoikpqaipKQE0dHR0Ov12L17N/bt24fy8nKMGDECs2bNMnoglXq3qqoqHDx4EOfPn0dNTQ10Oh2sra3h6OgIpVKJmTNnwtnZuVNri7obAxGJ1w8//PC73+G7ubl1czTU3f67j/aGDRuQmZmJy5cvIy4uzqiPdmNjI/toi0BCQgL2799v6Laxfft27NmzBwsWLMCwYcNw/fp1bNu2DXfv3sVf/vIXgaOlrjp9+jQWLVoEpVKJ5557DjKZDBKJBDqdDrW1tcjPz0dKSgqSkpI69ZA57+wSUa/06quv4tq1a7/rWPbR7v3YR9u8TJw4EfHx8YbCZvLkyVi1ahVeeuklwzGnTp3C6tWrcfr0aaHCJBMJCAjAG2+8gZCQkAce8+mnn+LQoUM4dOjQI69vlnd2Q0ND8fTTTwsdBhF1QVpaGpYtWwa1Wo3U1FSjT1Ij8WEfbfPS1tZmtP/aysqqw4PHDg4OzLdIVFZW/s/+2H5+fkhKSurU+mb5WPqCBQvQr18/ocMgoi6QSCSGJuSJiYkCR0PdjX20zUtAQABWrFiBc+fOAfjt9/aHH35oaBd648YNbNiwwehOL/VeCoUCO3bsQHNz833ntVottm/f3unWgma5jYGIxOPatWvIz8/HrFmzhA6FulF5eTlCQkIwZswYJCQkGM3l5ORg8eLFGDNmDLZt29bhDiD1PjqdDh988AG++eYb2NraYuDAgSgvL0dDQwOkUim0Wi18fX0RFxfHDhwioFarsXDhQqjVaowdOxYODg6GPbsajQaXLl2Ci4sLtm3bhiFDhjzy+ix2iYioV2AfbfNTX1+PgoICqNVq3Lt3D1ZWVnBwcIBCocAzzzwjdHhkQnq9Hnl5eSguLoZGo0FTUxOsra3h5OSE8ePHw8PDo9M/3yx2iYiIiEi0zPIBNSIiIiJ6PHR3K0ne2SUiIiIiwXR3K0kWu0REREQkGJ1O162tJLmTn4iIiIgE092tJFnsEhEREZGgpFIp4uPjMXToUJOvzW0MRERERCRavLNLRERERKLFYpeIiIiIRIvFLhERERGJFotdIiIiIhItFrtEREREJFosdomIBNbQ0ACFQgEvLy+0trb26Llv376NAwcO9Og5iYh6EotdIiKBHTlyBHZ2dmhoaMCxY8d69NybNm1CZmZmj56TiKgnsdglIhLYwYMH4ePjAw8PD6SmpvboudlqnYjEjsUuEZGAysrKUFJSAm9vb7z88ss4e/Ysbty4YZgvKSnB7NmzoVKp4O7ujiVLlqCqqsown5GRgYCAAIwfPx4+Pj6IiYmBTqczzBcWFmLOnDlQKBTw8/NDZGQkGhoaAACrV69GRkYG8vPzMXr0aADAjRs3EBQUhOeffx6urq4ICgrClStXeuZiEBF1Axa7REQCOnDgAGxsbODj44PJkyfDysoK+/btAwC0tbUhNDQUHh4eOHz4MHbv3o3KykqsXbsWAFBaWop169YhLCwMx44dQ0xMDDIzM7Fr1y7D/HvvvYdJkybh0KFDiIuLw8WLFxEUFAQAiIiIwJQpU6BSqfDdd98BAJYtWwYXFxekpaVh//79sLS0xKJFiwS4MkREpmEldABEROaqtbUVWVlZePHFFyGRSCCRSODt7Y309HQsW7YMTU1NuHPnDhwcHCCXyzFw4EB89NFHuH37NgDgl19+gYWFBeRyOZydneHs7Izk5GQ89dRTAIDk5GR4eXkhJCQEADBkyBDExcXhpZdeQn5+Ptzc3CCVSmFlZQU7OzsAgFqthpeXF+RyOaysrBATE4OffvoJer0eFhYWwlwoIqIuYLFLRCSQ3Nxc1NXVYerUqYaxgIAAnDhxAkePHsUbb7yB4OBg/O1vf8OWLVvg6emJSZMmYcqUKQAAHx8fqFQqzJw5E4MGDYKXlxf8/f0xduxYAMClS5dQXl4OlUpldF4LCwuUlZXBzc2tQ0xLly5FbGwsvv76a7i7u+OFF17Aq6++ykKXiHotCz2fTiAiEsTChQtx/PhxWFpaGo23tbVBpVJh7969AIDq6mqcOHECZ86cwalTpyCXy5Geng6JRALgt+0KJ0+exOnTp5Gfn49p06YhJiYGU6dOhVKpxPvvv2+0vl6vh0wmg62tLVavXo2Kigrs2bPHMH/r1i3k5ubi+++/R25uLvr06YPMzEzD3V8iot6Ee3aJiARQV1eH3NxczJgxA5mZmYavjIwMzJgxA+fPn8eVK1ewfv16yGQy/PnPf8bWrVuRnJyMsrIy/Pjjjzhz5gySkpIwatQohISE4PPPP8fixYuRnZ0NABg5ciSuXbuGwYMHG77a29sRHR2N6upqADC6Y1tfX4/IyEi0tLRg+vTp2LRpE7KyslBbW4v8/HxBrhMRUVdxGwMRkQCysrLQ1taG+fPnY9iwYUZzCxYsQHp6Oj7//HMcP34cOp0O8+fPxxNPPIG0tDT069cPw4cPx5UrV7B9+3bY2trC398f9fX1OHHiBBQKBQDgvffew5w5cxAZGYnZs2fj3r172LhxI5qbmw3ntLGxwc2bN1FRUQG5XI68vDyo1WosX74cNjY2SEtLQ58+fTBmzJgevkJERKbBbQxERAJ47bXX4OjoiOTk5PvOL1myBHl5edi5cye2bNmCixcvorW1FQqFAitWrDAUn9nZ2di5cyfKy8shlUrh6+uLVatWQSaTAQDy8vKwZcsWXLp0CU8++SQmTpyIlStXwsnJCQBw4cIFLFy4EHfv3kVOTg4aGxsRGxuLwsJCNDY2YvTo0QgLC8PEiRN75sIQEZkYi10iIiIiEi3u2SUiIiIi0WKxS0RERESixWKXiIiIiESLxS4RERERiRaLXSIiIiISLRa7RERERCRaLHaJiIiISLRY7BIRERGRaLHYJSIiIiLRYrFLRERERKLFYpeIiIiIRIvFLhERERGJ1v8BF+e10y0ClJgAAAAASUVORK5CYII=",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x00000000798D4048>)"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function solveTransition(v_R::Array{Float64, 1}, wgrid_R::Array, ygrid_R::Array, wgrid::Array{Float64, 2}, agrid::Array,\n",
" bgrid::Array, yit::Array, k_0::Float64, k_1::Float64, avgy::Float64, R::Float64, \u03b4::Float64)\n",
"\n",
" tW = size(wgrid,2)\n",
" wp = Array(Float64, (size(wgrid,1), size(agrid,1), size(bgrid,1), size(zgrid,1), tW))\n",
" v = similar(wp); c_over_x = similar(wp)\n",
"\n",
" # INTERPOLATION\n",
" x = Array{Float64, 1}[]\n",
" push!(x, wgrid_R[:, 1])\n",
" v_int = Lininterp(v_R, x)\n",
"\n",
" # MAXIMIZATION\n",
" wmin = wgrid_R[1, 1]\n",
" for a = 1:size(agrid,1), b = 1:size(bgrid,1), z = 1:size(zgrid,1)\n",
" size(agrid,2)==1 ? at = agrid[a] : at = agrid[a,end]\n",
" size(bgrid,2)==1 ? bt = bgrid[b] : bt = bgrid[b,end]\n",
" zt = 0\n",
"\n",
" yt = exp(at + bt*tW + zt)\n",
" pension = get_pension(yt, k_0, k_1, avgy)\n",
"\n",
" for w = 1:size(wgrid,1)\n",
" xt = wgrid[w, tW] + yt\n",
"\n",
" Blmn(w\u2032) = -( u(xt-w\u2032) + \u03b4*(getValue(v_int, [R*w\u2032 + pension])[1]) )\n",
"\n",
" optimum = optimize(Blmn, wmin/R, xt)\n",
"\n",
" v[w, a, b, z, tW] = -(optimum.f_minimum)\n",
" wp[w, a, b, z, tW] = optimum.minimum\n",
"\n",
" c = xt - wp[w, a, b, z, tW]\n",
" c_over_x[w, a, b, z, tW] = c/(xt - wmin/R)\n",
" end\n",
" end\n",
"\n",
" return v, wp, c_over_x\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"(v_2, wp_2, c_over_x_2) = solveTransition(v_T, wgrid_R, ygrid_R, wgrid, agrid, bgrid, yit, k_0, k_1, avgy, R, \u03b4);"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot2Dconfunc(c_over_x_2, 40, wgrid, \"Terminal value\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x000000004197BFD0>)"
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For ease of comparison, it might be helpful to plot the difference between the consumption functions. In the following plot, positive values indicate that a household getting the consumption value of assets in the terminal period would choose to consume a higher fraction of cash-on-hand than a household participating in the pension scheme for the next 30 periods:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot2Dconfunc(c_over_x_2-c_over_x, 40, wgrid, \"Difference Terminal value - retirement period\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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AMdrNgAEDeOihh0hPTyczM9OZpF+4cMG5TVpaWpFuKWX1yy+/FBk958cff8RqtTr7k1/ZLedaOnTowO7du4v9grFy5UpCQ0Ov2+e4JDp06MDZs2eLjUO/cuVKPD09i/TLf+CBB9i4cSNr1qxx9osv1L59e44fP05kZCRRUVFERUXRrFkzFi1axA8//FCqmHbv3o2qqowZM8aZvNtstiJfuA4cOECnTp3Yv38/4BiB55lnnqFRo0acO3eO/Px8YmNjWbhwIQDVq1dnyJAh3HPPPc7nMSYmhgsXLhAUFOSMOSoqiq1btzJ//nxnIn7163Ozc6o0bnRu+Pr60qxZM+Lj44vE16BBA2bNmuXsalYSHTp0wGq1snbt2iLLCy82bdu2LXXr1qVGjRrF1lm/fv0N9z1mzBiWL19e5O/BBx8EYPny5c4Le7t06cKJEyeKvLeOHz9OfHw8Xbp0KXFZhBC3RlrghRCl1qpVK55++mnee+894uPj6d+/P4GBgRw7doz58+eTl5fHe++9B0DDhg0ZMGAAH3zwATk5ObRr147Dhw8zc+ZMOnbs6LxoEW7crxYc/ZU/+ugjQkNDad26NQkJCSxcuJAOHToQGBiIv78/NWrUYNasWc5k/uOPP8bHx+em+y7J8QESEhJ44okneOSRRzh//jwzZsygW7dutG/fHsB58eOqVato1apVkT79AMOHD+frr7/m0UcfZcyYMQQEBPDVV1+xbds2pk6detPj38jAgQP573//y+jRo52j0Pz000+sWLGCMWPGFPkV4p577mHq1KmsWbOm2CRBo0ePZvDgwYwcOZK///3veHp6snTpUn788Uf+/e9/lyqmwtbYf/3rXwwcOJC0tDQWL15MQkICqqqSnZ1NZGQkAQEBjB8/nrFjxxIcHMyWLVs4cuQIjz76KB4eHrRt25aZM2fi4eFB48aNOXnyJF999RWxsbHOsn/22WcMHz6cUaNGUb16dbZs2cK8efMYOnSos1+2yWTi0KFDbN++nZYtW970nAI4evQodrv9pv39b3ZuPPfcc/zzn/9k3Lhx9OvXD5vNxoIFC9i/fz9PPPHETZ/LwvOze/fuxMTE8NJLL5GQkECTJk3Yvn078+bNY8CAAc7rBsaNG8fzzz/Pyy+/TGxsLHv27LnpBay1atUq8mUOLne7ubJ70j333MPHH3/MiBEjeP7551FVlenTp9OkSZNiffOFEOVPEnghxC0ZNWoUzZo1Y/HixcTFxZGWlkaNGjXo2bMno0aNKtIfeMqUKdSpU4fly5czZ84cqlevzrBhw3jyySed6yiKctMW+NGjR6PX61mxYgWzZs3C39+fnj17Mm7cOMBx8dwHH3xAXFwczz33HCEhITz66KOcOHGiREPbXX38a8V09913YzabefbZZ/Hx8WHgwIE8++yzzsdjY2NZuXIlEydOZNCgQbz66qtFtg8JCWHJkiXOMcPz8/OJjIxk9uzZxS44vFZ8N3qOvL29+fTTT5k+fTrvv/8+mZmZNGjQgLi4OAYOHFhkXbPZTNeuXdmyZUuxCxubNGnC4sWLmTFjBuPHj0dVVRo3bsyHH35YJMabvV7gaC1+5ZVXWLhwIWvXrqVmzZoMGjSI//u//+PBBx9k586ddOvWjblz5zJ9+nSmTJlCeno6devW5bXXXqN///4AvPrqqwQGBrJgwQISExMJCQnhL3/5i/O5NxqNLF68mOnTp/P222+TkZFBeHg448aNK9IV6B//+AdxcXGMGDGChQsX3vScApgwYQLp6enFxuq/2s3Ojc6dOzNv3jxmzZrF008/jYeHB82bN2fhwoVFfh253vN65fKPP/6Y999/n08++YTk5GQiIiJ4/vnni1zLcO+996IoCrNnz+brr7+mcePGvP7669ecv+FGrnXeeXp6snDhQqZMmcLLL7+Mh4cHXbp0YdKkSTf9FUoIUXaKWpImJyGEEPTs2ZN27doxbdo0rUMRFSgzM5NBgwYV645yJTk3hBAVSb4mCyGEEDfw0UcfXXdMdiGE0IJ0oRFCCCFu4L777qNx48ZahyGEEE7ShUYIIYQQQggXIl1ohBBCCCGEcCGSwAshhBBCCOFCJIEXQgghhBDChUgCL4QQQgghhAuRBF4IIYQQQggXIgm8EEIIIYQQLkQSeCGEEEIIIVyIJPBCCCGEEEK4EEnghRBCCCGEcCEGrQMQwp1s3ryZgwcPoqoqv//+O+PGjaNGjRrlsu89e/Ywffp0Dhw4gI+PD127dmX8+PEEBQWVy/7dJSYhhABQVZUlS5bw3//+lzNnzhAcHEyvXr0YO3Ysfn5+Zdp3VavrReWjqKqqah2EEO7ghx9+wGw2Ex0dDcDixYvZuXMnM2bMKPO+Dxw4wEMPPUTnzp0ZOnQoCQkJTJ8+nfDwcJYsWVLm/btLTEIIUWjOnDm8//77PP7443Ts2JGTJ0/y/vvvExUVxYIFC255v1WtrheVk7TAC1EOTp06hY+Pj7NCBzhz5gw+Pj7lsv+3336bqKgoZs+e7Vzm5+dHXFwcZ8+epVatWuVyHFePSQghAOx2O3PnzmXw4ME8++yzAHTq1InAwECee+45Dhw4QPPmzUu936pY14vKSRJ4IcrB9u3b+etf/+q8n5yczHfffcfcuXPLvO+UlBR27NjBW2+9VWR5nz596NOnT6n2tW3bNoYNG3bNx9q3b8+bb75Jr169rrt9hw4dWLRoUbnGJIQQ5S0rK4v+/ftzzz33FFlev359AE6fPn1LCbyr1PXC/UkCL0QZZWZmEhAQAMDLL7+MzWZj/fr1vPrqqzRo0KDM+z969Ch2ux2z2czzzz/P+vXrUVWVvn378tJLL+Hv71/ifUVFRfH5558XWfbNN9/w6aef8uCDDxIaGlrs8Sv5+vqWe0xCiKolKyuLOXPm4OHhQV5eHqmpqbz00kt4enpisVgwGo1lPoa/vz8vvvhiseU//PADAI0aNSr1Pl2prhfuT0ahEaKMdu7cSdu2bQEICgoiICCAJk2aMG/evHLZf3JyMgAvvPACPj4+fPjhh0yYMIH169czcuTIUu3Lz8+Pli1bOv9UVWXp0qUMHz6cfv364enpWeTxq/8KP6TKMyYhRNWRmZnJ0KFDadGiBWPGjOG5554DcPYfX7hwITab7bYce+/evcyZM4eePXvSsGHDUm/vSnW9cH/SAi9EGaWkpBAcHAzg7Gt59OhRHnjgAZKTk50jB9jtdsaOHUtubu5N9+nv7+/8QMvPzwegefPmvP766wB07NgRk8nEc889x+bNm+ncuXOp475w4QKjR48mOjqa8ePHO5dbrdbrbqMoCnq9/rbFJIRwb3FxcYSHh9O7d2/nspiYGOLi4hg/fjyqqqLX652P3Wq9ebVdu3YxatQoateuzdSpU28pdlet64V7kgReiDK68sOmUHZ2NkCRliSdTsesWbNKvf/Cbis9evQosrxLly4AHD58uNSVusVi4cknn8Tb25v33nsPRVEAx8VYV36wXq2wD/ztiEkI4d4uXrzIypUri1ygCWA2m7l06RLLli0jNja2yGO3Wm9eac2aNUycOJH69eszb948ZzeY0nLFul64L0nghSiDvLw8dLriPdEOHDhAzZo1CQ0NLfMx6tat6zzWlQpbyr29vUu1P1VVmThxIidPnuR///tfkQ+zsLAwli9fft1tCz9gyjsmIYT727dvHzabjfbt2xdZXpgYnz9/nkGDBpXrMefPn88777xDTEwMM2fOvOXx312xrhfuTRJ4Icpg//79xSpbVVX54osvGD58eJHlt/qzasOGDalVqxarVq1iyJAhznV+/PFHANq1a1eqmGfOnMl3333Hu+++S2RkZJHHPDw8iIqKuuk+yjsmIYT7s9vtmEymYoloYQJ/rRGyytKFZsmSJbz99tvce++9vPXWWxgMt57yuGJdL9ybJPBClMGZM2c4dOgQ999/v/PD4YMPPiAiIoKhQ4cWWbcsPwWPHz+eZ555hmeffZZBgwZx/Phx3nvvPWJjY51J+NmzZ0lMTKRZs2Z4enpecz/ff/89s2bN4t5776VevXrs3buXK+dya926dbnGJIQQhdq3b4+qqkX6i587d45169ahKAo2m42jR4/SpEkT5za3Wm8mJiYydepUatWqxUMPPcSBAweKPF67dm1nDCWpOytTXS8EyEysQpTJ8uXL6dSpE4sWLcJoNJKZmUlYWBiPPfbYNX9uLYuff/6ZWbNmcfToUQIDA+nXrx/PPPMMHh4eAEyZMoVPP/2Un376iZo1a15zH5MmTeKrr77iWm97RVE4fPhwucYkhBBX2rp1K8uWLXOOaBUSEsLAgQN58803sVgsdO7cudjY7bdi2bJlvPTSSyiKUqy+UxSFqVOn0r9/f6BkdWdlquuFAEngSyU3N5fXXnuNdevW4eXlxT/+8Y9iP50VeuKJJ1i/fn2RZR9//DHdu3eviFBFBVm6dCl/+9vftA7DaeDAgcydO9c5UoIQlY3Uo6IyulndWdnqeiGkC00pTJs2jUOHDrFo0SLOnj3LhAkTqFmzZrGr5gHi4+N555136NSpk3OZTMLgXk6cOEF4eLjWYTht2LABnU4nybuo1KQeFZXNzerOylbXCwHSAl9i2dnZdOrUiXnz5jmvoJ89ezZbtmzh008/LbJuXl4ebdq0Yc2aNdSpU0eLcEUFWLZsGX379sVkMmkdCuCYGtxsNt/yKAtC3G5Sj4rK6GZ1Z2Wr64UAmYm1xI4cOYLVaqVNmzbOZW3btmXfvn3F1o2Pj0dRFPnG7ubS0tIqVYUeEREhybuo1KQeFZXRzerOylbXCwGSwJdYYmIiZrO5yDBUISEh5ObmkpKSUmTd+Ph4/Pz8GD9+PF26dGHQoEFs3LixokMWt9k//vEPrUMQwqVIPSpckdT1ojKSBL6ELBZLseGlCu9fPTZsfHw8ubm5dO3alfnz59O9e3eeeOKJYsNYCSFEVSL1qBBClA+5iLWEvLy8in3AFN43Go1Flo8ePZpHH33U+ZNckyZNOHDgAJ9//jnNmzevmICFEKKSkXpUCCHKh7TAl1BYWBgpKSnY7XbnssTERLy9vYv1jVMUpVh/uvr165OQkFDi48m1xUIIdyP1qBBClA9pgS+hpk2bYjAY2L17N9HR0QDs2rWLFi1aFFt3/PjxGAwG4uLinMuOHDlSZHa5m1EUhfR0Czab/eYruxi9XofJZHTb8oH7l1HK5/oKy1iRpB4tX+5+nkr5XJ+7l1GLerSQJPAlZDQa6d+/P5MnTyYuLo6EhAQWLlzIm2++CThakUwmE15eXvTt25dnnnmGDh060KZNG7755ht2797NG2+8Uapj2mx2rFb3O+ELuXv5wP3LKOUTpSH16O3h7mWU8rm+qlDGiqafPHnyZK2DcBWdOnXi0KFDvPPOO2zbto0nnniCAQMGABAdHU3dunWJjIykfv36hIaGMmfOHObMmUNGRgbTpk0rVcsRQE5OPna7+/0ErNMpGI2ebls+cP8ySvlcX2EZK5rUo+XH3c9TKZ/rc/cyalWPgkzkVKmlpGS55TdWg0GH2ezrtuUD9y+jlM/1FZbR3VWF19Bdyyjlc33uXkYt61G5iFUIIYQQQggXIgm8EEIIIYQQLkQSeCGEEEIIIVyIJPBCCCGEEEK4EEnghRBCCCGEcCGSwAshhBBCCOFCJIEXQgghhBDChUgCL4QQQgghhAuRBF4IIYQQQggXIgm8EEIIIYQQLkQSeCGEEEIIIVyIJPBCCCGEEEK4EIPWAQjhTlRVRbXmY8u1kW+wY8uyYLPZAQVFpwAKKIpjZUUpuKsrsn3BrSL/Ch50bqcYDCg6+f4thBBCVEWSwIsqKdOSz/EzaSSkZGPJzSMrP5tMazbZ1mxyrFko2al4ZafinZ2OT042vjkWfHNy8bCpGOwqBud/O/qC23qbHYNNvfnBy4lNp2DXK9h0OuwGPXadDrtBh6rXO/4MetAbUFFR7Cqqand8CbCrKKrquF2wTFEpWH7FfdWx3uU/CrYr+A/YdQqq4vhvVwr+dFc2BWqXAAAgAElEQVT+B7uioCqKcx+6K/Z1rduqAumNGnPniKcweHpW2PMphLh1efl5nD+TQMK5C6RdSiYrNYvcrBxsOTbseSp2m4JqN6CqHqDgaJxQHPWIwlUNF8X+F1JKGI1y1X9QC2+ryhWLVRTsgB3FUQmCojpuK4CuoJ2loK1EVQtCUgsiK7x/RaiqWtBQ4wxdcRzTWUrlir+CuFQKjn8l9Tq3r1fW4gw+uTzwz4H4+fndYHvhqiSBF25PVVUupeVw7Ewah88kcvRSPKn2c1S3n6eaJQ1TTj7+WXaqZ9kwZdnws9jR27WO+ub0dhW9XcUDO+RatQ6nXAXuPsDWF58h/PGnqdekidbhCCGukJmZydafNnPxeALWbC/yFBNWndflTBevgr8r6HC9TruFnwO2Eqxb/DuD9vLgixnriOxeg07dOmodjShnksALt2O3q5xJzOTYmTSOnEnkWMpJsvUXCNEnUDs9me4X8gi/mId3Xslay206yPbxxOLjRb5Bj1WnYNXpsOoU8vUK+TqFfAXH/4I/m76wxaeg3aegQUcpaLZxLHPU9Iqz24zi2EJRnFsWNlShKAX3HO04OpsdvWpDb7Oht9sx2O3oVXvBbdVx325Hb1cdWxS2hBfsX1UK2p6uXFawnlrQYu647/jjituqoqDqHPHoVBWdXUVf0IKus6voKPhf0HLvuM3lGJTLx7ErRY9p1ymYU9KpeSmXsJRsMme8ybfd7yR28CMoSmX6ZBSi6shIz2DrT5tJPHERq8WLHF0wdp0XUPumWYSi2jDYc9CreejIQ1GsFDS/F65xRY/Bq7Pga73nS1Jvq1dsWdj18BrbqgoqOkBBVR3fMFRFR0Ethqronf+h4JdLR81YcN9e9P4VzfOKYociy3Hed8anFN5XrgpNca5dsm8El9cs3I0dL3IMQeR4mNm3KZM/9n7GoCcGYzBI2ucu5JUUbsFqs7PnWBKbDp7iWMpJ8r2TMHlcpE7GJe5MyCPiQh7+lms3q9s9PVDNJnRmM4bgYLxDqmEMDcMYWh2P4GD0poBS9Te32e1Y7SqBAT6kpmVjL+hWo1MUx8+xCs5kVFfYDx7KlKDa7HasNhWbzfHfanPEYLPZ0SkKOp2CXuf477x99fJSHN9g0GE2+5KSkoXVWr4/V2TlWPhu7ts02xePl1Wl/o/rWX38IO3+OZ7qYSHleiwhRHEZ6Rls+XETSfGJWC3e5OiCsOu8uTphV1Q73rZkDB7Z6L0VDEYPvPyM+AeZCAoNpkbt6gSZg245abyd9UxlcDvLl5efx/IPl5KWXRO7zkBqVjiL31xGx79E06Rpo3I9ltCGol6+ak5UMlJp3dzpi5ls2HeGbacO4OlxnFrWC0RczCUiIY+g9Ov87lktBFNUS/yaRWFs1AT9begfKB88Zbfpp9V4f7UCU7bjdUz29yD9nkH06d3ntrfGu/vrB5fL6O6qwmtYHmW0Wq2sX/MjFw5exKKGYdMVv/5EUe14W5MxeGcTWDuQDj07Ui20WpmOeyPu/j6siPJtXr+J3zcnkmMwO45pyyEkPJMBw/56W453taryGmpBEvhKzN1P+FstX6Yln+17TnFw51aMmUeomZNE9eQ8/K7Twk6ACb9mzfFr1hyfpk0xBJrLWIKbqyqV1u0u36WkC+ye9Ra1T6cAYNXB7hZNuOvRpwn297ltx3X31w8kgXcH5XGe7t21jwM/7yHXEkiuwVTkMUW1OVrYvSyY65iJ6XEHIaHB5RF6ibj7+7CiypeelsbKj74mQ63tXOZrP03f4bFUr3H7voBB1XkNtSAJfCXmjie8arVy6csvyNi2DTw80ZtM6E0mDP6my7dNJvT+l//rjEZyzp7l5I79XDh4AO+kPwnKzr7+9VA+Rnwjm+HbNAqfps3wCAur8P7TVaXSqojy2e12Ni6ZS7UNWzEU/Khyorofxgce5872rW/LMd399QNJ4N3BrZ6nF85fZOPXP2JJ0pNtKJrA6ez5GLlAUP0A7ujTlaDg29/gcT3u/j6s6PKt/mIV539XyNc73vde1gxqt/Sm9/19btsxq8prqAVJ4CsxdzvhbRYL5z+aRfbBA+W2T7sCWcF++DRoQPXItvg0aIhn9Rqaj5FeVSqtiizf6aP7OTdnJua0XAAyjDp2tevE3wcNw9+nfIebdPfXDySBd3W7t//G4c0HHdfUGBT0HnoM3h54Gr3x9vXGx9+PALOJwKAggkOCAPjh6++4dCwNi1Idu+6Kfumqio/tIj7V7HQf0Ou2dospDXd/H2pRvlN/nObnxRvJ0tdyLFDt+BvOMPDJv+DjW/71QVV5DbUgCXwl5k4nfH7yJU699w62c+cBOBvqQVKgAZ8cO8ZcOz45dnwsdrzzb3w6pvvoSAj2ILtGMOFR7Wjeuif+voEVUYRSqSqVVkWXL9+Sza8fvU3YwZOA4wvcr5Hh/H3sZLw8y++afHd//UASeFd17uwFflr8PZm2WgWjo5SMotqKre9lTcfLJ5WWvaJp0SqqvEMtM3d/H2pVPqvVylcLl5GcGOS81sGYn8QDo3tjDirfz9Oq8hpqQRL4SsxdTvj0k8c59d47eGblAHCwvjc/tjNh1ykouqKnn86m4pNrx5hTkNTn2PHOVUnz15MeGkibhh3pVDOaMN/K0UJ0PVWl0tKqfEfXrybv8+V45TuOfeaR4fTs1r3c9q91+SqCJPCuxWKx8PWCFWSkBmHVGx0LVTs61V60Nf0mDLZcvHUJ1GxZk+6xd1bqYQXd/X2odfn27trH7rVHsRhCAQgKOMffnnioXI+hdRlvNy3r0cr7zhUuzWqzc+x0Krt/WUHLzZvxtDoS9c0tffk1pAn5+xqD1RNFseNvUgg06TH56fD1U/ANBi9vFS9vFYOHHZ3eTteAOjQy10enuNpMIOJ2aNLjXlIaNiXxtX8BcGnPJijHBF6IymTV0pUkHrOTY6gFBY3ovtZztOgbSd97u3P29EUSEpNJSUomMz2D7IwscrIs5Gfnkp9rxZZnw2614xPsQ+8Bsfib/LUtkKgUWkW3JLJ5JIvf/pZcg4ncSzLXhiuRBF6Um5SMXPbHX2J//CUOJR6jec5WeuxPRKc6Rg/5vmVNLvjdSa8a9ekUWws/Tx3+Ph4Y9JKUi9IzR9TnYJAP1ZKzCTl3GruqlmoseyEqu+2btnP45xNkG2o4P629rSlUj/Tg7r8+hMHgqDt9/HyJ8DYSEVFLw2iFK/Ly8sTDI5Vc1YRFF0pKcmq5d6MRt4ck8KLMktNzWLDmMIf+SEHxysYj/AjdMuJpdzgbgBxPHSf73s1D3e+lmtnH7X9SExUnp0F9SD5AjUs5HDj2Oy0bN9E6JCHK7NQfp9mwZD1ZajiqoQYAHjYL/kEp9H/sr3h5le9F26JqC2kYQuYxsOsM/LL2Z+4f0l/rkEQJSAIvyuTwH8l8tPIgGbnZGMLj8Qo5Sez2NBqfcowUYjX70+jZibSsKS1Dovw17tqbnB0H0Knw++Z1ksALl5adlcXX878kMyMUq762Y5Zmuw0/w1l6D+tL9RrVtQ5RuKHud3Xn9JFN2PRepJ1K1zocUUKSwItbYldVvt56hLWHdqCrdRFvUxI++Vbu+zmVmklWADzq1qX+U89hMJlusjchbk1E01b85mPAP9uK8Y9jWocjRKklJV7ilzXryTibQ64aglUffrmfu+0srWKb06pdL22DFG7Nx9cXbxLJIpxcezBWq7VSX9wsHKTzcSnk5ubywgsv0L59e7p06cLChQtvus2ZM2do06YNO3bsqIAIb7+L2UmsPbGe8d9PZ51lIR71D6A3X8SclceD36c4k3e/6HbUGf+CJO/itlIUheSImgDUvpjO+UspGkckbkbqUTh25BhLP/wv/3njfyybu4cL50PI0oVj1XsDYLReokHTXB55cQit2rXSOFpRFfiEeQCQr/dl84+bNY5GlIR8xSqFadOmcejQIRYtWsTZs2eZMGECNWvWJDY29rrbTJ48GYvFUoFRli+7audUxhn2Jh5kX9IhLmQlOB7wAAXwz7LR6XcbTY5loLM6psk0x95FyF8e1HwyJVE1hEbHwNFTeOWr7Nj4HfcPGKx1SOIGqmI9Co4LUo/vOEpephGLIRiUmkU+gQ02C15KEoF1/LnrwX54ekg/d1FxYmK7sPqzo6iKjjMH/oTrvx1FJSEJfAllZ2ezbNky5s2bR9OmTWnatCmPP/44n3322XU/eFauXEl2dnYFR1o+bHYb38R/x/YLu0jLyyj2eOB5b7rHW6l7OgnsBReiKgrVHnqYwB7yc6+oOM279Obo0mV42FSsR/cAksBXVlWtHrVarXwxewmWNBO5BhMQAR6XH/eypuPhmUr1yDC6xfaSi1OFZiIiamG0bSbbUI38bPefH8IdSAJfQkeOHMFqtdKmTRvnsrZt2/LRRx9dc/2UlBTeeecdFixYwH333VdRYZab7/9cz7pTPzvvK6oOa1oQ1U55E/NnAo0yTl1eWVHw7xBD0N334hUeUfHBiirN4OlFQg0z4WeSqXUhiezcPHwkEaqUqlo9uup/K0nNCr/8SauqGK2X8PSz0LB9Ezp0uVPL8IQowtM/l2wLWDyCOXLoKJHNZFCAykwS+BJKTEzEbDYXubAjJCSE3NxcUlJSMJvNRdZ/8803GTBgAA0bNqzoUMss15bH+jObAAgzhpFzqi7ehzLplHyIOpYE53qKwYCpc1fMd92NZ2jlnhlVuDePpi3gzAbMmVZ+3baFnt3u1DokcQ1VqR61Wq2k/mkHw+UhIKN7daRh4x5ahybENTWKacaOnx2/uO/9eack8JWcJPAlZLFY8PQs2qpXeD8vL6/I8i1btrB7925WrVpVYfGVp83ntpGVn41iVwnY6MWdpzZTPTfZ+bjO25uAO3ti7tMXQ4BM+CC016rn3VxYtwGAS3s2gyTwlVJVqkfXff09FkMIAL7+SfztiaEaRyTEjbXrGM2+H74m1xBAbrJcw1bZSQJfQl5eXsU+YArvG41G57KcnBxeeeUVJk+ejKenJ6qqAjj/l4ZegxlKrXYrP57aiI/FxoAfMgjJ2Hk5HpOJ4L6xmHv0RO97633kCsulRfkqiruXsbKVL6hGTfYH+RBaMCurTq+UaVbWyla+20GLslWVehTg4uEMMPhgsOVw19D7nLOmlid3P0+lfBXP0zONXHsAFl0oaWlpBAebb77RDVTGMpYnLcslCXwJhYWFkZKSgt1uR1cwukpiYiLe3t6Yrhgqcd++fZw5c4axY8cW2X7EiBEMGDCAyZMnl/iYJpPx5iuVs5/iN5Oam0aP/dmEZDg+WBVzMPUeHEi1Xj3Qe3mV27G0KF9Fc/cyVqby5TdpBFv3UuNSDsdP/0FMq+Zl3mdlKp87qCr16DfL1pBtCAPA15hI48a1b+vx3P08lfJVnFrNa3Jkn2NW1i1rN/DI2CHlst/KVEZ3IQl8CTVt2hSDwcDu3buJjo4GYNeuXbRo0aLIeq1atWLdunXO+6qq0rdvX6ZMmcIdd9xRqmOmp1uw2exlD76E7KqdFQe/xZhjp1l8DgBqs9Y0fe4pFIOB9GwrZFvLfBy9XofJZKzw8lUkdy9jZSxfo869yNq6F50Kv32/isa1693yvipj+cpbYRkrUlWoRwF+33Qa9DXR2/O588GepKRk3ZbjuPt5KuWreF36dOX47p+x6r1IOplW5nO3MpaxPGlRjxaSBL6EjEYj/fv3Z/LkycTFxZGQkMDChQt58803AUcrkslkwsvLi4iI4iOxhIWFERQUVKpj2mx2rNaKO+F/u7iPi9lJxByzYLA7fqqu++BfsKGD2xBHRZdPC+5exspUvppNWvCb0YC/xYrxj9/LJa7KVD53UBXq0e2btpOlqwGAj+E8NcP73Pbju/t5KuWrOB4eXniRiLVgVtZsS065zElQmcroLtyzU9JtMmnSJKKionjkkUd4/fXXeeqpp+jduzcAXbt2Ze3atRpHeOtUVeWbYz+gt6q0POqYMMXYLEqGhRQuQ1EUkmsXzMqaILOyVlbuXI8CHNl4FBQFRbXR7r4YrcMRotR8qzsS9ny9j8zKWolJC3wpeHt78+abbzpbi6505MiR6253o8cqi70Jh7mYe4HmJ3PwyXN8Sw6KvVvjqIQonWrtOjpnZd2+8TsekFlZKx13rkf37z1ItlILAF/OEdlMJrUTrqdj3858UzAr69kDp+EurSMS1yIt8AKA/+1fC6pKm8OO1nfP8Ah8mkVpHJUQpRPVuRf5esfoM7ajezWORlQ1e9buQlV0oNpp3kvqT+GaakXUwmhLAiA/x0/jaMT1SAIvWLn7NzL1CdQ7m0dQpuMi1aDYu1DKMAyfEFoonJUVoNaFRCx5+RpHJKqK+BN/kG13dOHytZ+jTYe2GkckxK3z9M8FIMcQxJEDRzWORlyLJPBVXGKqhe/++AmA6ILWd4PZjH976bspXJNHM8eIJuZMK1t+/UXjaERVsWXFRuw6R6/Ueh3raByNEGXTuFMz5+09G3beYE2hFUngqzCb3c6sNZsh4CJhSfnUSnSM+x7Yqw+KQS6PEK6pTY97nLeT92zVMBJRVVw4f4Hs/OoA+FjP07VXV40jEqJsojtE42VNAyA3RVLFykhelSrs601/cN6wH4DoI47Wd8XLm4Bu3bUMS4gy8QsNIzHIB4Dgc6ex38LsnUKUxk9Lv8emc4zcUbNl6Ya5FKKy8vB0JPA5ulCSZVSvSkcS+Crq6KkU1uw6hD74PKZMGw1POyZuCujWHb2Pr8bRCVE2OQ3qA1DzUg77jv6ucTTCnaWnpZGdFQKA0ZpIn/tjNY5IiPIR1rga4JiVdeOa9RpHI64mCXwVlGnJZ843h9BXP4miQJsjFhQV0Okw9+6jdXhClFmjLo5xxXUqHNu67iZrC3Hr1ny2iny94xefoPpln/BGiMqia2x3DDZH417Gmdszm7C4dZLAVzGqqvKftUdIyUlDH3oWr1w7LU46rjb3b9cBj+AQjSMUouwimrUiw+i4jsPnz2MaRyPclcViISvFBIB3fgr3PHivxhEJUX6MRiNeimM4yVx7MHn5eRpHJK4kCXwVs2HvOXb9noih+p8oOjstjlvQ59sAMPeV2RqEe7hyVtaIhHTOJSVrHJFwR6s/W0mewR8AU818DHLxv3AzflfOyvqDzMpamUgCX4WcS8piyQ/HQJ+PR9hp9DaVdscc42QbI5viXbeutgEKUY6qte8EgHe+yvZfvtM4GuFu8vLzyEjwAsDLms59D/fXOCIhyl/H2G4oqmN29rMHTmscjbiSJPBVyKotf5BnteNZ/RTorDT5IwevbMdPYua+cuGVcC9Rd/R0zspqP7pP42iEu1m7ZDU5hkAAfIMz8fKS/u/C/dSsVR2jLRGA/Bx/jaMRV5IEvgo5diYNdDa8ap4CVaXjMcesq541auLbvKXG0QlRvhyzsjqG9JNZWUV5slqtpPzh6HroYcvmniH9NI5IiNvH0+Ro6MvxMHNw3yGNoxGFJIGvItKy8riUnoM+9DRWJZc65/PwT3aM/W7uG4uik1NBuB/PK2dl3bZJ42iEu/jhm3VYPBwX/Pv6XcLfJC2Twn01vaOF8/b+jb9pGIm4kmRtVcTJ8+mg2DFU/wOAO445+rTpTSb8O3bSMDIhbp/WPS/Pynppj1yAJcpHwkHHBDcGWw69HpLuh8K9tW7XGm9rKgC5qXKhdmUhCXwVEX8uHX3wOXReOYQm51PtbAYAgT17o/OQvpvCPfmFVHPOyhpy9ozMyirKbMN3G8g2VAfA6HWRaqHVNI5IiNvPwzMdAIsulKTESxpHI0AS+Crj5Pl09EEXgMut74qnJ4F39tQyLCFuu5wGDQDHrKx7jx7VOBrh6k7t/RMAnd1K17/00DgaISpGWGQYAKpOzy9rN2gcjQBJ4KsEVVWJP5eGzjcNvywbdU46vkmbOndF7+encXRC3F5Nul2elfX41h80jka4OnueNwDe9mTq1IvQOBohKka32B4yK2slIwl8FXAxxUKOmoHikU/r3y0odhUUBXMf6bsp3F+tyJbOWVmNMiurKIO8/DxydY6hI3WeORpHI0TF8fLydM7KmqeGyKyslYAk8FVA/Pl0FN90PPPsND/mGHnGr200ntWk76Zwf4qikFIwK2vthHTOJkn/TXFr9u7Yi03nuGbIN9SocTRCVCz/Go6Jy/L1Rn75fqPG0QhJ4KuAk+fS0fmmEXUiBy+r4yI+c9+7NI5KiIpTrd0dQMGsrBtlVlZxa/48GO+83aBFYw0jEaLidbqrK4rqmP/g/KFzGkcjJIGvAk6edyTwTf5w/OTrXb8BxgYNNY5KiIrTrHMP8gyOWVk5LOMYi1tjSc4FHMNHRrWO0jgaISpW9RqXZ2XNyzVjtVo1jqhqkwTezVltdv5MyMCkpBCW4niz+XeI0TgqISqWwdOLi7UdQ//VP3uJUwmJGkckXJEtz9FtxlNNxWCQ8bBF1eNT0PM21+DPhu9+1jSWqk4SeDd3JjETmyGTBhcuXzXu26q1hhEJoY2wLo4h/4x5Ktt+WqlxNMLV5Obmkat3XMCq95IL+ETV1LVfT3R2R2Pguf3SjUZLksC7uZPn0tH5pVHvrOMDR1+jOp4y8Yiogpp26oHFy1HlGX/fp3E0wtXs+nUndp0HAL5hMvyuqJqq16iGUU0AINcWisVi0TiiqksSeDcXfz4db69kIhIcCbypTTuNIxJCGzoPD5Lq1wag7vl0jpz8U+OIhCs5c/jy+dK0rfR/F1WXKcLRlSxfb+Snb2RuDa1IAu/mTp7PoG7mBfSOyVfxa91G24CE0FC9Ho7RlzytKnt/lm40ouRyU/MB8LBl0zCygcbRCKGdXv37oLc5Lui+dDxV42iqLkng3Zgl18r5pEwaXEoBwOrrjXfdehpHJYR26rWJId3H0Q0i8MQRVFXVOCLhKmz5vgB4qmlyAauo0vxN/hh1FwHIIYyUZEnitSAJvBv743w6inc69c4XzBjYrDGKTl5yUXUpikJaY0frae2ELHYdPKRxRMIVZGZmklN4AasxX+NohNBeSONgAGw6T9avlG40WpBsrhRyc3N54YUXaN++PV26dGHhwoXXXXflypXExsbSqlUrBg8ezL59FX/RXPz5dCLspzHmOVoZg9rK8JFCRMXeD4BeheO/rNY4mqrH1epRgN+27ELV6QEw1TBpEoMQlUnP+3rjYcsGIPOsjMqkBUngS2HatGkcOnSIRYsWMXnyZGbOnMl33xWf1XHnzp289NJLjBkzhtWrV9OmTRtGjBhBdnZ2hcZ78nwGjTLPAmDVK4S2lAtYhajeqBnJAd4AVPsznnyrTeOIqhZXq0cBzh8/67zdtF3LCj++EJWNl5cnXoYkALKVMM6ePnuTLUR5kwS+hLKzs1m2bBkvvvgiTZs2pXfv3jz++ON89tlnxdZNSkpi9OjR9OvXj/DwcEaPHk1aWhonTpyo0JhPnkujYVIyACm1g9B7eVXo8YWorHKaNQMgPCmHLbu2axxN1eGK9ShAXppj3GtPaxYNG9ev8OMLURlFtHaM6qXq9GxevVHjaKoeSeBL6MiRI1itVtq0uTyKS9u2ba/5k+5dd93FyJEjAcjJyeGTTz4hJCSEhg0bVli8KRm56FISCMx29Ne0N2tUYccWorJrdfcA5+0L26T/ZkVxtXq0kNXmGPfdQ0mr8GMLUVl16dUFL6vjPWFJknSyosml9CWUmJiI2WwuMvpASEgIubm5pKSkYDabi22zdetWHnvsMQCmT5+O0WissHhPnk+nUa6jpUoFzK2l+4wQhcw1IzgY4ke1pExqnTqFJS8fo6eH1mG5PVerRwHS09Iuz8BqtFbosYWozAwGA17GNHLzA8jWh3L08DGaNJXGwooiX5lKyGKx4OnpWWRZ4f28vGtfwNG4cWO+/PJLnnrqKSZMmMDevXtve5yFTp5Pp1HWGQDOhxioXatJhR1bCJfQsjUA1VLz2bBpvcbBVA2uVo8C7Ni0A1VxfFQGhhf/giFEVdakc8GkZoqO39b9qm0wVYy0wJeQl5dXsQ+YwvvXaxEKDg4mODiYyMhI9u7dy5IlS2jVqlWJj6nX3/r3q7N/JtA8Ix2A83UDCfIJuOV9lbfCcpWlfJWdu5fRHcrXvt9fOLl+EzoVMn/biKHvXc7H3KF8N6NF2VytHgVIPHkBCAegbed2GAyV55xw9/NUylf5dezSngM/fIHFEExumk+x94c7lPFGtCyXJPAlFBYWRkpKCna7HV3BWOqJiYl4e3tjMhUdVmzfvn0YDAaaFVwoB1C/fn3i4+NLdUyT6dZ+KrbbVfQnDqEU3Ne3bIzZ7HtL+7qdbrV8rsTdy+jK5TObffm1hpka51Koc/o8qh6CTEXfJ65cvsrIlerRQvnpgA68rBm0bN24TPu6Xdz9PJXyVW7GwBwsmWDxCObg3v10ubNjsXVcvYyVkSTwJdS0aVMMBgO7d+8mOjoagF27dtGiRYti6y5btoyzZ88yf/5857KDBw/SvHnzUh0zPd2CzWYvdaznkrKok/oHAKl+egJrNSQlJavU+7ld9HodJpPxlsvnCty9jO5SPp/2HeHrtQRk2fhqxTIGPPBXwH3KdyOFZaxIrlSPFrLa/UAHBiW9UtWj4P7nqZTPNUT37cC65WdAUdj53S6iWl1+P7tLGa9Hi3q0kCTwJWQ0Gunfvz+TJ08mLi6OhIQEFi5cyJtvvgk4WpFMJhNeXl4MHjyYBx98kEWLFtGtWzdWrlzJgQMHePvtt0t1TJvNjtVa+hP+2MlE6mWfByA+3JNWfuG3tJ/b7VbL50rcvYyuXr5WPe/l2Kpv8bCp5O/7Feu9A4s87urlq2xcqR4FuJh4kRy945cBg2/lPRfc/TyV8lVuDRs3YrPtN7INYeRmB5CTk1fkQnVw/TJWRu7ZKek2mTRpElFRUTzyyCO8/vrrPPXUU/Tu3RuArl27smSUDyYAACAASURBVHbtWgCaNWvGzJkzWbZsGQ888AC//PIL8+bNo1q1ahUSZ/LefXiojslp4mt5UdsUXiHHFcLVePr6kRDheF/WO5PE+UspGkfk/lylHgXYs2U3FFzAGlQnpMKOK4SrMYY4kvNcQwBbftqscTRVg6Kqqqp1EOLaUlKybukb69oXp9Eg4RA5ngorHmrM5C6TbkN0t85g0GE2+95y+VyBu5fRncq398fVGP/3BQD7+/bgLw8Oc6vyXU9hGd1dWV7D/33wKanZEaCqDHi0KdVrVC/n6MrG3c9TKZ/rOHv6LN98dgRV0eOvnOLhCY8A7lXGa9GyHpUWeDeTl5dPWNJJAE7W9CQiMELjiISo3Fp060uOp6Mq9DiyR+NoRGWSn+EYCsDLll7pknchKpNaEbXwsSUAkGMNITf32sPCivIjCbybObXnMH42CwDx4V7UMUkCL8SN6Dw8uFjX0c2s3rlUjp85q3FEorKwqgX933UZGkciROXnX8sxGV6+3oefVskM17ebJPBuJmXnLgCsOvizhie1/aX/uxA3U7u7ow+2l1Xlt59WahyNqAzOnb1ArsGRwHv4aRyMEC7gzgf6oLc7Wt6Tfk/SOBr3Jwm8m9EfPwjAmTBP8j10RPjX0jgiISq/Ru27kGl0jJrgf+wgcmmQ2Lt1p/N2aN0wDSMRwjWYgwLxpqAbjT2MjHT55ep2kgTejeQnJuKX7vjWe7KWJ2E+oRgN3hpHJUTlp+h0JDesB0CdhEz2HD2qcURCaylnkgFQVDttO7fTOBohXENQA8es71a9Fz9+vU7jaNybJPBuJHnn5Raj+Fpe1PaX/u9ClFSTPvcBYLDD4fXfaByN0Jo1Sw+Aly2NoGCzxtEI4Rp63d8Hj4Lr8NJPWTSOxr1JAu9GUnb9BsBFs4FMXz11ZPx3IUosvGlLUkxeAATHH8dml240VVl+wQWsel2mxpEI4TqMRiNe+kQALEoYF85f1Dgi9yUJvJuwZWWh/HkcgPhangByAasQpaAoClmRTQAIT7SwfutWjSMSWjl54g/yDP4AeJoUjaMRwrXUbF4TALvOwM9fyWg0t4sk8G4i68B+/p+9+46Pok4fOP7Zkmw6pEAghQ5JaEno9ZQuIkUFFAvK6YkiYDlFrMfpiciBep6cNMUfiPRikKIUBRQFpIQaCBAgCSSEJJCyabs7vz/WrIRQ0md3ed6vV16vZGYy83yzu888mfl+v6P5Y+DdmRADGjSEegepHJUQjqXtgKEAaID4zdKN5k51dO8h2/eBzWQiACHK46577sbVZB3AmpuqcjBOTAp4J5Fz8AAA2W4upPnqqe8ZiKvOVeWohHAsAQ2bcsnPA4DAs2cpKDKpHJFQw9ULVwDQKGY6dJMBrEKUh16vx2DIBCBPV5cTx06pHJFzkgLeCSgmE7mHrVeMTgcZQKOhgfR/F6JCLG3aAhCYWcj2X7arHI1Qg9lonVLUzXQFbx9vlaMRwvE07dwCAEWjZcvKrSpH45ykgHcCxpMnUPKto70TGlhnTmgo/d+FqJDogfdj+aPbc/rubeoGI1RRqLFOhafT56ociRCOqetfuuBmsl6FN16W3gDVQQp4J5D7R/eZQq2O5EDrB6Whj0whKURFeAcEkhpYG4AmZ5NJychUOSJRk04cj6dI5wmAa229ytEI4bgMXtYZnPJcAti59WeVo3E+UsA7OEVRyIm1FvAJfrUx6zToNDqCvOqrHJkQjqv2Xb0A8M6zsGPjSpWjETUpbt8R2/dBLeRCiBAV1XVwTzSKGYBTv0o/+KomBbyDK0xKwpSeDsCZ+tanrgZ51cNFK1eOhKio6L73ketm7Y5W+9gBzGaLyhGJmpKdYp09Q2sx0b5LO5WjEcJxNW7aCA/LRQDyLPW4lCZzwlclKeAdXPHVdwsazja0LpP+70JUjtbFhezIVgA0TDWy/bdfVI5I1BRzvrUbosF8BQ9PT5WjEcKxBbWtC4BZ68qPKzarHI1zkQLewRVPH5nkEUChTxGAzEAjRBW4a/QYLBrrnPAZv2xUOxxRA0wmE0XFA1hdjCpHI4Tj6zu4L24m67Ssxgx3TCaZmreqSAHvwExXMik4mwDAaT8/2/IG3tJvU4jKCghpQEqwPwDNzqVwLkWeSOLsjh89QZHOHQA3PxeVoxHC8en1ejz9rf8M5+v92P79T+oG5ESkgHdguYf+fFrgmfrWk46LVk+QZ6BaIQnhVAL73gOAR4GF3zYuVzkaUd1OHTxu+75BRBMVIxHCeQx9cjBai7WHQHLsRZWjcR5SwDuwnEMHAchw8eFqHeuHI8QrCJ1Wp2ZYQjiN1n/pR5an9Ups3RNHKDKZVY5IVKfcS9YrhTpLEVGdolWORgjnENIgCA9NCgB51Of82USVI3IOUsA7KEtRIcZjRwE45RmM1vMqIP3fhahKGq2WnMg2AARfLmDLdhmE5czMBQYADJZMDAZ5+IwQVaVRJ+ssGxatnl9iflI3GCchBbyDyouLQyksBOB0rbpoXKzfN5AZaISoUh2HPYr5j0yZv1seCe6sTCYTBRrrA7y0LvkqRyOEc+k14G7cTZcByMvykcGsVUAKeAeVE2vtPlOkN5Ac8OeVInkCqxBVy9PPn4sNrONKmiVe5uR5uf3rjA7vP4RZZ70C7+HvpnI0QjgfjwBrV98CfS02f/uDytE4PingHZCiKOT+0f890TsYvK0PHnHVuRLoUUfN0IRwSqEDhgBgKFLYv3GZytGI6nDm8J9PimzUtqmKkQjhnPqNHIjOXABAWlymytE4PingHVBhUiKmjAwAjrgG2fq/h3oFo9XISypEVWvWoRsZPtars8HxJzEWFKockahqeZet3WZ05gIi20WqHI0QzsfXrzbueut0vEZtfeLj4lWOyLFJteeAirvPKBoNZzyC0HpmAdBQBrAKUS00Gg1F7dsDEHilkK1bN6gckahq5iJrtxmDcgW9Xq9yNEI4p7AeEQAoGi17NvyqcjSOTQp4B1TcfSYnIIQCDwsavbVfWUMZwCpEtek09CGKdBoAlN+3qxyNqEqFRYUUaH0B0LkWqByNEM6rU/eOeJguAZBv9KNA7mZWmBTwDsZ09Sr5Cdanr57xCrV1nwGZQlKI6mTwqkVKE+tnrGlyJodOnFQ5IlFVDvx2ALPWOt+/R10PlaMRzs5oNPLWW5NITU1ROxRVeAdbL4QU6r3YtGK9ytE4LrlPWA4FBQX885//ZPPmzRgMBp566inGjBlzw21/+uknPv74Y86fP09oaCgvvvgivXv3rnQMuYcPgaIA8LulDhpP61PN3PVuBLj7V3r/Qoibaz7ofvI/+RQXMxzZspK2YW+oHZLDsYc8er3zxxOAegA0iwyr8v2L0oz5Ji5m5N5yG71Oi3dWAdnZ+ZjMlkofs76fJx5u6pY969fHkJqawvbtP/Lii39XNRa19B8xkKX/2UmRzp0rZ2XK1oqSAr4cpk+fzrFjx1i4cCHJycm89tprBAUFMWDAgBLbxcXFMWHCBF577TXuuusuduzYwcSJE1m5ciXh4eGViqG4+4zi60+a3gdXzxOAdf53GcAqRPVq0Lodv/h5UCfDSMNTZ8gy5uHj4a52WA7FHvLo9fIzrLfx9eY8WraJqNJ9i9KM+SYmfb4LY0HNzgXuYdAz/bluqhbxgwZZZ7RasGCeajGozcvLCzfXNIrMDTDq6hG77xCR7duqHZbDkQK+jIxGIytXrmT+/PlEREQQERHB008/zddff13qxPPdd9/RtWtXHnvsMQAeffRRtm3bxsaNGyt14rEUFZF71Pr01Sv1m6HR5KH1ugLIA5yEqCnazl1h41b8sk1s27SGYQ88onZIDsMe8uj1MtIzKTT5gR5clasygFWUMm/e58TErGHmzE/x9fUjIyODsLBwsrKyWLJkEcofd8VvxGAwMGbM32owWsfQtm80v2y6DBoNh7cdlAK+AiRTlVFcXBwmk4no6Gjbsnbt2jF79uxS295///03fMpYbu6tbxfeTt7JEygF1ttNJz2CcalzHI3WglajpUv9DpXatxCibDrc+yDHt/yIW5EFl9jfUO4fhUajUTssh2APefR6G75cR6G+AQA+oXJKrAkebtYr4WXqQuPtpmoXmuTkJMLCIli69HG2bdtCixbhhIVZ/4H08fFh7NjnKx3XnahtdBsOrl9Crr4++YV1yMnJwcvLS+2wHIpkqzJKS0vD19e3xNWZgIAACgoKyMzMxNfX17a8adOSDwGJj4/nt99+Y9SoUZWKITf2AAAaNzf26PLQ+aYB0Cf0L9TzrFupfQshysbF3YNLLRrR4OgZmlzIYu/hWDq1jVI7LIdgD3n0Wnt37SXHFAwa8DClMPjR4VW2b3FrHm56mgbVuuU2er0WX19PMjNzMZkqX8BXRHBwCMHBIZjNZu69dzA6nU6VOJxR7cbu5CZCkc6dH5Zv4IG/jlQ7JIciBXwZ5eXl4erqWmJZ8c+FhTefBikjI4MJEybQrl07+vbtW+HjK4pCzqFY6w/NwjAFH0MLeGi9uKdRnwrvVwhRfq2HjCTr6DR0CpzdtlYK+DJSO49ey2QycWzbaRR9PTSKmVZ9m0v3GXFDxV1kdDodKSkp1KlTB51OR1bWVZYs+Vq60FTQgOH38vW/f6BQ70X2BbWjcTySrcrIYDCUOsEU/+zufuNBbJcvX7bNrvDpp5+W+5g63Z+DUvOTkjBdvgzAET8NWrc8AIY1uw8vN8caRFfcrmvb52ycvY13evtCwlqyra4P9S5l0eRMIldycwio5VOTIVaaGq+d2nn0Wmu+WotRb515xlufTJce/cq9b7Xd6Z/DmnD8+DGOHz9Gp06dcXNzY+3aFYwf/wIAfn6+PP/8hArvW6u1dr1z1tcPbv0a6vVuuHtkUFjohVFfl99/3UOXnl1qOsRKUfO1kwK+jAIDA8nMzMRisaDVWl+wtLQ03Nzc8PEpfeJOTU1l9OjRaLVaFi1aVOLWcFn5+Px5Qkvaah28ikbDLn/rv6o6Y12GRv3FYfvfXts+Z+XsbbyT2+fXty98sxofo5ntG1fx9HPjazAyx6R2Hi126WIaGUnu1oGrphweee0hfH09y98gO3Enfw6r06lTp6hfP4C2bR9k9OjRWCwWZs+eXan3yvr169m7dy8ajYY5c2bRoUMHHnnE+QfC3+w17PtIX1YviEPRaInbEcfAIdKjoKykgC+jiIgI9Ho9Bw4coP0fj1Tft28fbdq0KbWt0Wjk6aefRq/Xs3DhQvz9KzY/e1ZWHuY/Bu5c+nUPAFfqeWN0B8WioYWmG1euGCvYIvXodFp8fNxLtM/ZOHsbpX3Qttcg9q/6Fo8CM24H95CekYPWgf6ZLm5jTVI7jxZb/NFy28DVgIaFuLi4k5lZtYNja4J8DquXv399AIqK4IsvFtmWV+a90q3b3XTrdjcvvPCq6u2rCbdrY1BICB6WH8nVBWM0BXLqVBL+/uX/R10tauTRYlLAl5G7uzvDhg1jypQpTJ06ldTUVBYsWMC0adMA61UkHx8fDAYDc+bMITExkYULF2KxWEhLS7PtozyjrM1mCyaTBXN2NnmnTwFwtK4ZAFNKI1q1aqjawJ6qUNw+Z+bsbbyj26fRkR7RAo+Dx2mUksv2Xbvo2blrzQboYNTMo8X2/LyHHPOfA1cHjRru8O/hO/pz6AScvX1w6zbWCfclNx7MOgPfL9nAyGerbqC6M3PejlfV4PXXX6dVq1aMHj2a9957j4kTJ9oGVPXs2ZONGzcC8MMPP1BQUMDIkSPp2bOn7ev999+v0HGvffpqQrABS4EbpgtNaR586xH8QojqFX3/KBRAA6Tu+E7tcByCWnkUrANXj/+UgKLRobGYadu/hQxcFUJl/Yb2x2C6CoAxzfU2W4tikrnKwc3NjWnTptmuFl0rLi7O9n3xCaiq5Pzx9NUsTy3ptXQUnQrH3cWNoDqO22dTCGfgF9yA2CBfgi9k0uzsRRIuXKBxUJDaYdk1tfIoQMzC1Rj1gQB4uSYT3Un62wqhNr1ej7tPFgXGWuS5+LPlu830vc/xBpXXNLkCb+cUk4mcw4cAOBNswDW/PpbMQJoG+zhUf1shnFVgv0EAeBRY2L120W22FmpJuXiJjIvWrjeuphwG/XWIyhEJIYrd9WA/dBbrjFQXDqapHI1jkALezhlPnoCCAgDOB7uTc6oFoJHuM0LYiYgefUivbR3E1PTESVIzMlWOSNzI5kWbKNJ5ABDQsAhfv9oqRySEKBYUXA8PfQoAufogft2+S+WI7J8U8Hbu7O6tABTqNdQJ6445z3oCah4iJx8h7IFGo8G1t/V2b61cMz/JVXi78+uO38g1hwDgYbrI0MfvVzkiIcT1Og/pisZinagj/pczKkdj/6SAt2P5RfnkHToMwMUgT2oVtAVAp9XQOMixHhojhDOLHjCUq17WwVehRw5zNTdP5YhEMZPJxMkd51E0WrQWE1H3tFQ7JCHEDTQPb46nJhkAoyaIQwcOqxyRfZMC3o5t/X0tPtlFANTv2J2EZOuc7w0CvTC46NQMTQhxDa1OR1G3bgAEZBXxw7eLVY5IFFv1xUqM+roAeBkuENkhUuWIhBA306ZfW1AsKBotsd8fUDscuyYFvJ1Kzkrhwp6dtp+bd72H08nWaZaaBUv3GSHsTedho8h1s/5jXSd2L/mFRSpHJJLOXyAzxTpw1WDKZvDTQ1WOSAhxK1EdovC0WJ82b7QEceb0WXUDsmNSwNupL/cvo2FyPgC6hg1IK3LBWGACoHmIDGAVwt7oXA1kdWgHQFB6AZs2rFI5IrHiv2v+HLjaxIJPLcmdQti7Jl0bAWDR6tm1eoe6wdgxKeDt1MnzxwhKs17Bqx3dgVNJV23rmkkBL4Rd6jriCfJdrGnVY+8OTGazyhHd2XL+GLjqabrAkEfk6rsQjqBH7x54mKwz0hgLA0m5eEnliOyTFPB2qtHFQrTWh6/i2TaS+D8K+IBabtT2MqgYmRB/MhqNvPXWJFJTU9QOxS64enpxuU04AI1SjfywdZPKEd3ZigeuRg5srXYoQgBw9OgRli79mi+/nMuLLz7P3r171Q7JLtVv4wuAWWdg27LvVY7GPsmTWO1U42Tr3O96Xz8MoQ04teFXQKaPtBfGfBMXM3Jvul6v0+KdVUB2dj4ms6VKjlnfzxMPN/v5yK5atYozZ86xffuPjB//strh2I3OD/+Vs7Gv4mJWsOz6HqXfvWjkoWuq8Xa7QGT7vmqHIa6TZ8ojJffWD+zR6zRctriTnZWHyaxU+pj1POvgrnev9H4qKj8/n507f+LZZ8cDsGPHj/ztb39j+fK1+Pr6qxaXPeo/dABfHV5Bnr4Oxlx/srOy8fbxVjssu2I/1YAoIeyS9YTv2TaSq7mFpF2x9oeX/u/qM+abmPT5LtuYhJriYdAz/bludlPEP/jgg2Rm5vLFF3PVDsWuePoFkBLWmNBjZ2iWnMX2X3/m7m491Q7rjlSv7iWGjnlE7TDEdfJMeby9axp5ppqdbtVd78573SarVsQnJSWyePH/MXjwMIKDQ+jcuQv5+fkcPhzLX/7SW5WY7JlvIz15SVCk82DD4nU89Jx8lq9lH5WAKC3PWrB7RkYRJ/3fRQUpisKKFUsB0Ov1JCaeZ/z4FzGbzeTkZOPnZ73qk5WVxZIli1CUm1/lMhgMjBnztxqJ29FFPzyG1H+8jU6BK9vWghTwqnjmtafIzMzFZKqau2DizjRv3ufExKxh5sxP8fX1IyMjg7Cw8HLnzWbNmvP5518SHGwdm1Hc9TA0tEH1N8IBDXp4MIumfUe+vja56V4UFBRiMLiqHZbdkALejmlcXfEIjyB+xznAegU2KMBT5aiEh5v1Svhtu9B4u6nehWbmzA8JCQnh4YcfA2DatPdYvz4Gb29voqLa2bbz8fFh7NjnqyROAX5BoRxoEkTo6Qu0OJ/O7tgDdI6MVjssIexC8ZXwsnSh8fZRtwtNcnISYWERLF36ONu2baFFi3DCwqzjXCqSN1u3bmP7fuHCBTz55JM0b95C/sm8Ab1ej3dgAfnpUKD3Yf033/LAmBFqh2U3pIC3Y56tWqF1deVU8hUAmgbXQit9ae2Ch5uepkE3vxui12vx9fVU9epfXNxxdu78kdWrN9iWBQeHcvToYZo3b4Gvr58qcd0pIoY/Rs6H09FbIOn75VLAC3ENd707jWvd+sqzLY9q1cujwcEhBAeHYDabuffeweh0VfMQxe++W0tAQB0mT55MZubNLwbd6QY9NoRvZm6lUO/F1WQdJpMJvV5KV5AC3q55R0ZRUGTmfGoOIN1nRPns3/87UVHtSpxwdDodhw4dLHXVKCvrKkuWfC1daKpQUPOW/BjiT3BSOi3OpHAs/hQtmzdTOywhRDkV50WdTkdKSgp16tRBp9NVOG/+8stOFAXGj3+BwsJCLl68QJ069aq1DY7K3d0dz9pXKczxIl/vx6ZVG7jvoSFqh2UXpIC3U67+/nh36EDchSzMFmtyaB4sBbwoO39/fwwGN9vPiqJw6VIKERGtqF3bF0VRbLOj+PjUqmQXmsrf3nZGDYaOxDzrcwwmhYPrv6bli1PUDkkIUQ5xcceIiztGx45dMBjcWL16OePGTQQqljcPHNhHRkY63bv3JD39Mvv2xWMweEoBfwsDHhnEqs9/pUjnTnp8vtrh2A0p4O1Uh3mfcyUrn/j9ZwDQaTU0DvJROSrhSPr3H0hCwhliYtbg5uaO2WxixIhRfPLJv1m+/BuGDLkfD4+Kj6lYv349P//8KxqNhs8//y9RUe24//7hVdgCx9c0ujM76i6m3qUsWsSfJ+HiRRrXr692WEKIMkhIOIOHhyf9+w9k/PixKIqFDz/8uML7S05O4rXXXiYvz2hbptFo2LJFnjZ6K75+tXF3T6OosAFGfV22rt9Cn0EyNaxGudW9H6GqzMxc/v3NAQ6fSadxfR/efqKD2iFVCXvoH17dnL2N0r6yO7JjM64LFwNwoH0EDz33WlWEWGnFbXR2zvoeBfkcOjpnbx9UXRuTE5NZv+goZq0rnqYLjH7LPqaUVDOPypNY7ZhFUTiVbJ1CUuZ/F8IxterZl8u+1pkvmh4/SWrmFZUjEkIIxxIcGoyH3jrtZq4+iN07d6sckfqkgLdjyWm55P3xsKBm0v9dCIek0Whw7WW93etjNLN9zUKVIxJCCMfTeUhXNBYzACd2nlQ5GvVJAW/H4hP/vFInV+CFcFztBgzjipf1ASQhRw6TlWu8zW8IIYS4VvPw5nhqkgEwaoI5HHtU5YjUJQW8HTv5RwFfp7YbtbwMKkcjhKgorU5HUffuAARkFfFDzDcqRySEEI6ndZ/WoFhQNFoObtyndjiqkgLejsUnFfd/r61yJEKIyuoy9GFy3Kxz8gcc2Et+YaHKEQkhhGOJ7tQOT8sFAIyW+iScPqtuQCqSAt5OZWTlk3YlD5AHOAnhDHSuBrI6tAMgKKOA79YuVTkiIYRwPI27NATAonXh51V37hScUsDbqeMJGbbv5QFOQjiHbiOewGiwXoUP3PMzV3OkL7wQQpRHzz498TRZr8LnmoI5euiYyhGpQwp4O3UsIR0AD4Oe+gHOP1ezEHcCV08vsrt3ASDwSiGbVnypckRCCOF4wu5qau0Lr9Wx77s7sy+8FPB26thZ6xX4ZiG10P7xuHshhOPrPuJJrnq6AND44AEupKWrHJEQQjiWzj0744V1RppcTTC/bt+lckQ1Twp4O5XwxwOcZP53IZyL1sUFTb8BANTONbNjxVyVIxJCCMfTcXAntBYTaLTE7zyndjg1Tgr4CigoKOCNN96gY8eO9OjRgwULFtz2d37//Xf69u1b5mOYLQog878L4Yza3/uA7ems4UfjOXnuzjv51EQeFUI4r/DWYXjq/+gLr6/PD99+r3JENUuvdgCOaPr06Rw7doyFCxeSnJzMa6+9RlBQEAMGDLjh9idOnOCFF17Azc2tXMfRaTU0qu9TFSELUeViY2P5+effyMnJ4ciRw4wePYaoqHZqh+UQNFottYYOh68W4VFgIXblfFr8/T21w6pRNZVHhbAn+/f/Tnr6ZQoLC9mz51eee24sISFN1A7LYfUa1YcNC49g0hm4cDgb0yATev2dUdreGa2sQkajkZUrVzJ//nwiIiKIiIjg6aef5uuvv77hiWfp0qVMnz6d0NBQcnJyynWsRvW9Mbjoqip0UYXyTHmk5KbddL1ep+GyxZ3srDxMZqVKjlnPsw7uevcq2Vdl5efnsWXLFv7612cxmSz89NNWXnllIkuXriEgoI7a4TmEVj36sH3TOuqnXCEiPol9hw/Rvk1btcOqETWZR4V9MhuNFKZcvOU2Op0Wvbcbxux8zGZLpY/pWq8+Og+PSu+nMt5++zUmTHiZQYOGkJubw/PPP8+3325UNSZHFhwajKfnNq7mh5KnD+C7b2IYNvoBtcOqEVLAl1NcXBwmk4no6Gjbsnbt2jF79uwbbr9z506mT59OdnY2//3vf8t1LHmAk33KM+Xx9q5p5JnyavS47np33us22S6K+MTERObNm8eAAfcRGBhEp05dKCgo4PDhWHr1ki4OZdXw4Sco/OQ/uJoU4tctol3r6WjugEHrNZlHhf0xG40kTH4Fi7Fmp1HVenjQeNoMVYv4//53LkFBwQAoioKiVM0FnjvZfWOGsOK/P1Oo9yTzvI68vDzc3dU/T1Y3KeDLKS0tDV9f3xK3aAICAigoKCAzMxNfX98S28+aNQuA1atXl/tYzUOlgBeVoygKK1ZYHxik1+tJTDzP+PEvYjabycnJxs/PH4CsrCyWLFl0y5OJwWBgzJi/AdC8eQuWLl1KcHAIJpOFlJQUAEJCGlRzi5xLo9bRbG1Uj9CzKYQnpPHTrh306n6X2mFVu5rMo0JU1rx5nxMTs4aZMz/F19ePjIwMwsLCy503AZo0aWr7/tdff2bSpEnVGvudpvj4pAAAIABJREFUwKdWLXzqZHE505N8fS1ivlrDQ889onZY1U4K+HLKy8vD1dW1xLLinwur8NHozUJq0baJf5XtT1Sd4ivht+tC4+2jfheamTM/JCQkhIcffgyAadPeY/36GLy9vUv0V/fx8WHs2OfLte+oqCgyM3MBWLz4K0aOfITmzVuUax8C2ox+hvR/vYvOAsYfVmHu0hOdzrnnF6ipPCrsk+6PK+Fl6ULj4+1GlopdaJKTkwgLi2Dp0sfZtm0LLVqEExYWDlQsbwKcPBnH7t2/0rJla/r374/RaCr3PkRJQ558kG/+vYF8fW2yM2qRkZ6Jn7/v7X/RgUkBX04Gg6HUCab456q8ZfPxS3eTlZVXJUnL3hQXJ45cpHjrPfF2u/kDtnQ6LT4+7mS5qPcaxsUdY+fOn4iJ2Wj7Wzdo0IDjx4/QvHkYdeoEVHjf176GMTFrqVOnLuPHv1AlcduDmnyPBjVpxuGIJoQePUPz5Cy+3/IdQwYNq/bjqvn5q6k8Co6dZ27HkXOp3scLg0/zW26j02nx9nFHUfFc2LBhAxo2bIDZbGbIkKHodJUfl9ayZUtatmxJTMwaHn30UWbNmourq6EKorU/NfUe1evdCGiikHQeinSebFr0HaNfeaJajwnqfvakgC+nwMBAMjMzsVgsaLXWFy4tLQ03Nzd8fKp2xhgfH+fuw+Xs7QN123js2CE6d+5EQMCf70svL3cOH45l8uRJ+Pr++Q/IlStX+PLLL297K3j8+PEllu3b9xseHq68/fYbFBYWkpaWRnBwcNU3RiU19foNfOkV9j/7PK4mBcNPG3EbMQJ3g+vtf9FBSR6tWs7eRrXbpygKFosFnU7HhQsXCAwMRKfTlTtvHjx4kPHjx7Ns2TKCg4Pp0aMrH3zwL2Jjf6d///411RxV1MRrOPr5R/jk7wsx6uuQYwwkI/0STZs1rvbjqkUK+HKKiIhAr9dz4MAB2rdvD8C+ffto06ZNlR/Lma/A+/i4O237wD7a6O7ujVart3VzURSFhITzhIVFoNEYyMjIuWbApAtjxoy97T6L96XTaYmLO0xi4gW6devJqVPnOHLkMP7+/nh4OP7YjRp//fRepLVrQ/CeQ4Sm5bHwi7mMHDWmWg9Z3EY1SB6tGvaQZ6qTPbTv+PFjHD9+jE6dOuPm5sbSpd9cc7exfHkzL6+Ihg0b4+LiSWZmLidPnsbFxYWQkMa2bZxNTb+GIdG+nDwMZq0rMXM28OQbT1br8dTMo1LAl5O7uzvDhg1jypQpTJ06ldTUVBYsWMC0adMA61UkHx8fDIbK3w4zmy2YTM6XlIs5e/tA3Tb27XsPp0+fZvXqVbi5uWM2mxg+/GE++eTffPPN1wwZcj8eHjfvBnQryclJPPvssxivmUVCo9GwadNPTvWa1uTr1/3RZzga+wKeBWYCf/uZ9IEjqOWl7pR31UXyaNVy9jaq1b6EhDMYDO707TuA8ePHoigWPvzw4wrH0qxZOPfeO5hly5ag1Wo5fDiWOXPmUL9+kFO/flBzr2GfQX1JPvANufogckzBxO4/Qqu2Lav9uGrQKDKHUbnl5+czZcoUvv/+e3x8fHjqqacYPXo0AOHh4UybNo1hw0r2YV2zZg2fffYZW7duLfNxMjNznfJDrddr8fX1dNr2gfO3UdpXPX5eMp+6W38G4GC3doz868RqO1ZxG9UiebTy5HPo2Jy9faBOG/f8vId9O3NAo8XTksjoNx6vtmOpmUelgLdjzvqhlqTl+KR91cNSVMS+V8dRK6eIq546Qt6eTv2A6pmNSu0CvqY463sU5HPo6Jy9faBeGxd9sJAcTQNQLER2c6PbXd2q5Thq5lHHG7ouhBBOSuviAv3vAaBWrpkdy+aqHJEQQjiejoM7o7WYQKMlfuc5tcOpFlLACyGEHekw8AHS/Kx938OPnuTk2bPqBiSEEA4mvHUYni4XADDq6/PD2k0qR1T1pIAXQgg7otFoqD1kOADuhQqHVs5XOSIhhHA8vR7ug95cAMCFwzmYTM71wCwp4IUQws606tGbC/Wt03FGxCfx+6FYlSMSQgjHEhwajKfnJQDyXAJYt3ityhFVLSnghRDCDjV86AkUwMUMF9cscMp5voUQojrdN2YIribrHPsZiQYy0jNVjqjqSAEvhBB2qHHraJKahwAQlniFmJhlKkckhBCOxadWLWrXtxbwhXpvNny5TuWIqo4U8EIIYac6P/Miea7WNF1vx1ZS0tNVjkgIIRzL0CcewMOUCkCOKZg9v+xVOaKqIQW8EELYKS/fAIy97gLAP9vE9kWfqRyREEI4Fr1eT6u+zdBYzCgaHcd/POMUA1qlgBdCVMi5c+d44YVx9Ov3Fx588D6++WaR2iE5pS4PPs4lf+uDQlofT+DnPb+pHJEQorIKCwt55JER7Nmz56brH398JAcO7KvhyJxThy7t8XJNBsCoD2TtV6tUjqjypIAXQpSbxWLhmWeewc/Pn6+++oZXXnmdhQu/YPNm55trV20arZbQJ57BorEOaM2N+ZqCIse/eiTEnaqgoIApU94kIeEMGo3mpuvPnk244XpRMUP+NhSDKQuAK6k+JCcmqxxR5UgBL4Qot4yMdFq1asWkSW8QHBxC167dad++I4cPy3SH1aFhy0iSWzcHoHFKDjHLvlQ5IiFERSQknGHs2DFcuHDj4vF260XF+dSqRV1rGqVI5862xVvVDaiSpIAXQpRbQEAdPvroI9zd3VEUhUOHDhIbe4Do6PZqh+a0ej79AjnuegAa79nNmaQklSMSQpRXbOx+2rfvyJw5N/4n/HbrReXc99AQPM3Wf45ylFB+3PSjyhFVnF7tAIRwRGajkcKUizddr9Np0Xu7YczOr7L5u13r1Ufn4VEl+6pKw4cP5tKlVLp378ldd/VWOxyn5erphTLoPli5Fh+jmf2LZ9F40lS5xS4cUkG+iSsZxltuo9NpyM0qJDs7D7NZqfQxa/t5YHBTt+wZNmx4pdaLyut0fwd2rD2HWevKub3pFPQqxGBwVTuscpMCXohyMhuNJEx+BYvx1iefqqb18KDxtBnlKuIVRWHFiqWAdSR+YuJ5xo9/EbPZTE5ONn5+/gBkZWWxZMkiFOXmJ0mDwcCYMX8rtXzq1Bmkp19mxowP+PTTj3jxxVfK2TJRVu0GDGX7ru0EXcik1amLbPlpM/169Vc7LCHKpSDfxNef/0ZhQc2O5XA16HnsuS7lLuLnzfucmJg1zJz5Kb6+fmRkZBAWFl6pvCnUE94yjANb9nDFGEqeiz+r5y5n1ITH1A6r3KSAF8KJzZz5ISEhITz8sDU5TZv2HuvXx+Dt7U1UVDvbdj4+Powd+3yFjhEWFg7AxIkv8+67bzN+/Ivo9ZJaqoNGo6HlUxO4PPVd9GbQb1pNduceeNvhnRkhnEFychJhYREsXfo427ZtoUWLcFvOq0zeFOoa9rfhLJ2xiXwXX7Kz6xIfF0/z8OZqh1UucpYVopx0f1wJv10XGh9vN7JU7EITF3ecnTt/ZPXqDbZlwcGhHD16mObNW+Dr61fhWDIyMti371fat+9qW9awYWOKioowGnPx8alV4X2LW6vbsAlHO0QRvPsgwen5bFg8h4f+9pLaYQlRZgY365XwsnSh8fZ2V7ULTXBwCMHBIZjNZu69dzA6na7ScQj1ubu706CdNycPKZi1rvy6ajfN35QCXginp/PwwL1J05uu1+u1ePt6YsrMxWSqmgK+vPbv/52oqHYlTjg6nY5Dhw6WumqUlXWVJUu+LvOt4AsXkpgwYQLffrsRX19rN5wTJ47j6+snxXsN6Dn6WfYdm4hvdiHhBw5x9ORJWrVooXZYQpSZwU1PYJDPLbfR67X4+nqSmemqWh4FbHlRp9ORkpJCnTp10Ol05c6bwr70GdSXC4cWkkMDcnUhrF/xHYNG3Kd2WGUmBbwQTsrf3x+Dwc32s6IoXLqUQkREK2rX9kVRFNsASB+fWuW6FdyyZWtatWrF++9PYfz4l7l4MZnPP/+U0aPHVHk7RGl6gxteDz4MXy3EvVDh+LLZRLw1E60MaBWiSsXFHSMu7hgdO3bBYHBj9erljBs3ESh/3hT25+7H+rBp4SFMOndST1jIzsrG28db7bDKRKaRFMJJ9e8/ED8/f2Ji1vDDD5vYtGk9I0aMIjs7i+XLvyEvr+KDcLVaLf/73/9wc3Pn2WfH8OGH7zN8+MMMH/5wFbZA3EqrHr1JalwPgIhzGaz/zvGfLCiEPUlIOIOHhyf9+w/k7bcn8+qrExk+/CG1wxJVKDQ0mNp1rgBQoPchZt4alSMqO41yq3s/QlWZKna/qE5/3hZ1zvaB87dR2mcfrqalcv6dyRiKFC7XciHsnZn417p1t4RixW10dvb+GlaGo7xPK0ra5/gcoY0mk4nF01Zj1NdFazHRuX8AUR2iyvS7auZRuQIvhBAOqladQK707A5AwNUiti78VOWIhBDCsej1elr8pQEaxYJFqyd2UxwmU81OcVoRUsALIYQD6/7QGNL8rLMTtTx6mj0H9qkckRBCOJauf+mCl876dGujvh4xX69VOaLbkwJeCCEcmFano95jf8WiAVeTQsqmFWqHJIQQDueeMYNwNeUAkJVo/xMCSAEvhBAOrmnbDqS0awWAp3dtlaMRQgjHE1DHn6Bw0JkL0Olq9knrFSHTSAohhBO4+7lXKcrMpHktmYdfCCEqYuDw+zCZTA7xNHH7j1AIIUSZuPj6qh2CEEI4NEco3kG60AghhBBCCOFQpIAXQgghhBDCgUgBXw4FBQW88cYbdOzYkR49erBgwYKbbnvs2DFGjBhBVFQUw4cP5+jRozUYqRBC2CfJo0IIUXlSwJfD9OnTOXbsGAsXLmTKlCl89tlnfP/996W2MxqNPPPMM3Ts2JHVq1cTHR3N2LFjycvLUyFqIYSwH5JHhRCi8qSALyOj0cjKlSt58803iYiIoG/fvjz99NN8/fXXpbbdsGED7u7uTJo0iSZNmvDmm2/i6enJpk2bVIhcCCHsg+RRIYSoGlLAl1FcnPXRutHR0bZl7dq149ChQ6W2jY2NpX379iWWtWvXjgMHDlR7nEIIYa8kjwohRNWQAr6M0tLS8PX1LTG9UEBAAAUFBWRmZpbatm7duiWW+fn5kZqaWiOxCiGEPZI8KoQQVUMK+DLKy8vD1dW1xLLinwsLC0ssz8/Pv+G2128nhBB3EsmjQghRNRxjtno7YDAYSp04in92d3cvtW1BQUGpbd3c3Mp1TJ3OOf+/Km6Xs7YPnL+N0j7Hp0bbJI9WLWd/n0r7HJ+zt1HNdkkBX0aBgYFkZmZisVjQaq0vWFpaGm5ubvj4+JTa9vLlyyWWXb58udTt4Nvx8XG//UYOzNnbB87fRmmfKA/Jo9XD2dso7XN8d0Iba5pz/ktUDSIiItDr9SUGUO3bt482bdqU2jYyMpL9+/fbflYUhf379xMVFVUjsQohhD2SPCqEEFVDCvgycnd3Z9iwYUyZMoXDhw+zZcsWFixYwBNPPAFYryIV3+4dMGAA2dnZvP/++5w6dYr333+f/Px8Bg4cqGYThBBCVZJHhRCiauimTJkyRe0gHEXXrl05duwYM2bMYPfu3Tz33HPcf//9ALRv355GjRoRHh6Oq6srHTt2ZMmSJcyePRuLxcJHH31EvXr1VG6BEEKoS/KoEEJUnkZRFEXtIIQQQgghhBBlI11ohBBCCCGEcCBSwAshhBBCCOFApIAXQgghhBDCgUgBL4QQQgghhAORAl4IIYQQQggHIgW8nfj999/p27fvLbe5evUq4eHhJb66du1aQxGWdu7cOZ566imio6Pp1asXX3zxhW3dxYsXeeaZZ4iKiqJfv35s2LChxO8OGTKkVFtOnTpV6hi7d+8utV3xV0pKSrW1bfXq1Tc8ZkREBAA7d+5kyJAhREZGMnToUHbs2FHi91etWsU999xDdHQ0I0eOLPFAmuvl5uby1ltv0bVrV+666y7mzZtXbe0C6+Po77vvPvbs2VNi+blz54iMjCy1/a5du7jvvvuIioriiSeeIDExscT6r776ip49e9KuXTvefPNN8vPzb3rszMxMJkyYQLt27ejTpw8xMTFV06hr3Kx9ANnZ2fTs2ZM1a9aUWL53716GDRtGVFQUDz30EHFxcQAkJSXd9P33+++/3/D4p0+f5q9//Svt27enT58+zJkzh6qe7OtGbdy+fTuDBw8mOjqaYcOG8euvv5b4nQULFtCrVy+ioqJ46qmnOHfu3A33PX/+fHr37l2mOEwmE0OHDuWzzz6reGOqkORRyaM1lUfBuXOp5FEHyKOKUF1cXJzSrVs3pXfv3rfc7vfff1c6d+6sXL582faVnp5eQ1GWZDablf79+yuvvvqqcu7cOeWnn35S2rdvr6xbt04xmUzK4MGDlXHjxikJCQnK0qVLlVatWiknT55UFEVRTCaT0rZtW2Xv3r0l2mIymUodp7CwsMQ2aWlpyqOPPqqMHz++WtuXn59f4rgXL15U+vfvr3zwwQfK2bNnlbZt2ypfffWVkpiYqCxYsEBp3bq1kpSUpCiKomzfvl2JjIxU1q1bp5w/f1755JNPlPbt2yupqak3PNZLL72kDBgwQNm/f7+yd+9epVevXsqCBQuqrV3PP/+8EhYWpuzZs8e2/MKFC8qAAQOU8PDwEtsnJycrUVFRyoIFC5RTp04pL774ojJ48GDb+k2bNikdOnRQfvrpJ+XQoUPKoEGDlHffffemxx87dqwyZswYJT4+XlmxYoXSpk0bJTY2ttrbV+ztt99WwsLClDVr1tiWJSUlKZGRkcpnn32mnDt3Tnn77beVXr16KYWFhYrZbC71/nv55ZeVESNG3PD9ajQald69eyuvv/66kpCQoPz0009K165dla+//rpa25iUlKS0adNG+eKLL5TExERl9uzZSlRUlJKSkqIoiqJ8++23SocOHZTt27crZ8+eVf7+978r99xzT6l9nz9/XomMjLxtLio2Z84cJSwsTPnvf/9bZe2rKMmjkkdrKo8Wt81Zc6nkUcfIo1LAq2zJkiVKdHS0MmTIkNu+2MuXL1cefvjhGors1lJTU5WXXnpJyc3NtS0bP368MmXKFGXbtm1Khw4dlJycHNu6cePGKcuXL1cURVHOnj2rREREKAUFBeU+7rp165SOHTsqmZmZlW9EOcyePVvp37+/UlhYqOzevVuZOnVqifWdOnVSNm7cqCiK9UQyZcqUEusHDBhga/+10tPTlbCwMGX37t22Zd99953So0ePKm9DfHy8MmTIEGXIkCElktbmzZuVrl27KkOGDCl10vnkk0+Uxx9/3PZzXl6e0q5dO9vvPvLIIyWSzu+//65ERkYq+fn5pY5/7tw5JSwsTElOTrYte/PNN5XJkydXa/uK7d27V+nfv7/SvXv3EieeadOmKaNHjy7Rxn79+ilxcXGljrFv3z6ldevWypkzZ24Yw/bt25WOHTsqhYWFtmVz5sypss/tzdq4YcMGpXPnziW27dSpk/L9998riqIoixcvLvH+O378uBIWFlaqcB0zZowyatQopVevXreN5ezZs0qPHj2UQYMGqV7ASx4tH8mjlePMuVTyqOPkUelCo7KdO3cyffp0nnzyydveHjp16hSNGjWqmcBuo27dunz00Ud4eHigKAr79u1j7969dO7cmd27d9O1a1c8PT1t28+aNYsRI0YA1nbUq1cPV1fXch2zqKiITz75hOeee47atWtXaXtu5cqVK8yfP5+///3vuLi40KlTJ15//XVbTCtWrKCwsJC2bdsC8PTTT/Pkk0+W2k9OTk6pZUlJSQAlbrc2a9aMtLQ0Lly4UKXt2Lt3L127dmXZsmUllm/fvp0XX3yRN998s9R7MDY2lo4dO9p+dnNzo2XLlhw4cACz2cyRI0dKrI+MjKSoqMh26/T6fdWvX5+goCDbsnbt2nHgwIFqbR9Yb5W+8847/OMf/yj1vtu9ezf9+/e3/ezm5sYPP/xAWFhYqf3MnDmThx56iMaNG98whpYtWzJr1ixcXFxsyxRFueFrXxE3a2N4eDi5ubls3rwZRVHYvHkzRqORFi1aAPDII4/YPn/Z2dl88803NG/eHD8/P9s+1q5dS0FBAcOHDy9TLO+88w4TJ07E19e3StpWGZJHy07yaOU5cy6VPOo4eVRf7t8QVWrWrFmAta/g7Zw+fRqz2cyIESNITU2lQ4cOvP7669SpU6e6w7yl3r17c/HiRXr16kX//v1Zt24dwcHBzJgxg5iYGHx9fZkwYYKtb+rp06dxcXHh2Wef5ciRIzRu3JhXX33VlrhvZuPGjWRnZ/Poo4/WRLNslixZQmBgYInkBNZ+jgMHDsRisfDKK6/YkmnLli1LbLdjxw7Onj1Lly5dSu3b398fgJSUFBo2bGj7Hqx9HK9N0JU1atSoGy5/7733AGsCvl5aWhp169YtsSwgIIDU1FSys7MpKCgosV6v11O7dm1SUlJK9QG90b78/f1JTU2tUHuud7P2AcyePZuWLVvSrVu3UuuSkpIwGAxMnDiRffv20axZM9555x2aNm1aYrt9+/YRGxvLxx9/fNPjBAQEEBAQYPs5Pz+f5cuX06dPnwq0qLSbtbFx48a89957TJw4Ea1Wi9lsZtq0aaUK1ZUrV/LWW2/h6upaoq91RkYGM2bM4P/+7/+IjY29bRyrVq2iqKiIESNGVMs4hvKSPCp5FGomj4Jz51LJo46TR+UKvANJSEjAaDTyxhtv8PHHH3Pp0iXGjh2LxWJRNa7PPvuM2bNnc/z4caZOnYrRaGTNmjVkZ2czZ84chg0bxgsvvMCRI0ds7cjJyWHEiBHMmzePpk2b8uSTT952MNXy5csZOXJkua84VYaiKKxYsYLHHnus1Dp/f39Wr17NO++8w6effsoPP/xQapvz58/z+uuvM2TIENvArWsFBwcTFRXF1KlTycrKIi0tjc8//xywXpVSW35+fqm/t6urK4WFhbYBVjdbf728vLwyb1uVTp06xbJly3jjjTduuD4nJ4cZM2bQuXNn5s+fT/369XnyyScxGo0ltlu+fDn9+/cvdeK8GYvFwuTJk8nLy2Ps2LGVbsetnDx5kn/+859MmDCBlStX8uyzz/Lee+9x5syZEtt1796dtWvXMnLkSMaNG2e7cjl16lQefPDBUifbG0lPT+fjjz/m3XffrZa2VDfJo5JH1eDouVTy6J/sJY9KAV+DZs+eTXR0tO1r37595fr9jRs38vXXXxMdHU379u359NNPiYuL49ChQ9UUcdm0atWKu+++m9dff51ly5ZhsVjw9fXln//8JxEREYwZM4a7776b5cuXA/Cvf/2LzZs306dPHyIiIpgyZQohISF8++23Nz1Geno6+/btY8iQITXVLAAOHz7MpUuXGDRoUKl1Xl5ehIeH226rLVq0qMT6hIQERo8eTcOGDfnXv/5102NMnz6d1NRUOnfuzH333Wdr47W3ztViMBhKnRQKCgpwc3OznUCuX19YWIi7u3uZ9lVYWIibm1sVR/0nRVF46623mDhxYonbnNfe3tbr9fTu3ZtHH32UiIgI3nvvPSwWC9u2bbNtYzKZ2LZtW5nffyaTiVdffZXt27fzv//9z3aFsLosWrSIjh07Mm7cOCIiInjxxReJjIxk4cKFJbarX78+4eHhvPXWW9SrV4+1a9eyc+dOYmNjGTduXJmO9f777/PAAw/QrFmz6mjKbUkelTx6I/acR8Gxc6nkUfvMo9KFpgaNGjWqRAIr63+gxa7/j9vPz4/atWtXWReE8khPT+fAgQMlpmxr2rQpRUVFBAUFlYq1UaNGnDx5EgCdToeHh0eJ9U2aNOHSpUs3Pd7OnTsJDQ2lefPmVdiK29u5cycdO3bE29vbtiw+Pp6rV6/SoUMH27ImTZqUmIoqPj6eJ598kgYNGjBv3rxbXu1q0KABa9euJSMjA29vb06fPo1Go6F+/frV06hyCAwMJC0trcSyy5cv07JlS3x9fTEYDFy+fNnWl9FkMnHlypUbdke42b6qs+vChQsXOHjwICdOnGDatGmA9UrYP/7xDzZu3MjcuXOpU6cOTZo0sf2Oi4sLwcHBJa5kHjx4EJPJdMNbx9crKiripZdeYteuXcybN4+oqKiqb9h1UlJSSl2ZvHZKwd9++43AwMASfU6bNm1KZmYmGzZs4OLFi7auCWazmaKiIqKjo5k/fz7t27cvsd8NGzbg5uZmK7QKCgo4cOAA33//PevWravOZgKSRyWP3pg951Fw7FwqedQ+86hcga9BtWrVIjQ01PZlMBjK/Ls5OTl06NChRN+61NRUMjMzS3xoakpiYiITJkwocdI7cuQIfn5+REVFER8fX+KW9OnTpwkJCQHgscceKzHfqcViIS4u7pbtOHToEO3atauGltzajY77448/8vbbb5dYdvToUdtts0uXLvHXv/6Vxo0b8+WXX97yCpDFYuGpp57i5MmT+Pn54eLiwo4dO4iIiMDLy6vqG1ROkZGRJa5w5uXlcfz4caKiotBoNLRp06bEPL4HDx5Er9cTHh5eal9RUVFcuHChxHtm3759REdHV1v89erVY/PmzcTExBATE8O3335L3bp1eeGFF2xX86Kiojh+/LjtdwoLC0lMTCQ4ONi2LDY2ltatW5ep28E777zDr7/+yvz580sUJ9WpQYMGxMfHl1h25swZQkNDAZg3bx4LFiywrTObzRw/fpymTZvy6quvsnHjRtvfaOLEidStW5eYmBhat25d6libN29m3bp1tr9n69atGTVqFHPnzq3eRv5B8qjk0evZex4Fx86lkkftM49KAW/HCgoKbP9le3l50alTJz744AMOHz7M0aNHeemll/jLX/5S41dTANq2bUurVq144403OH36NNu3b2fGjBk899xzDBo0CIvFwpQpUzh37hyLFy/m559/ZuTIkQD07duaHVtjAAAgAElEQVSX//u//2Pbtm2cOXOGd999l5ycHO6//34AjEYjGRkZJY4XHx9fpn5lVe1Gxx06dChpaWnMmDGDs2fPsnjxYtatW2frn/fhhx+iKAr/+te/yMnJIS0tjbS0NFtfwGvbp9VqcXV1ZebMmZw7d44tW7bw+eefV3tfv7J68MEH2b9/P3PnziU+Pp7XX3+d0NBQOnXqBFhH5X/xxRds2bKFQ4cOMWXKFEaOHGkrqq5cuWKbOSA0NJQePXrw6quvcuLECVasWMH69et55JFHqi1+nU5Xothr0KABOp0Of39/25XbJ554gh9++IElS5Zw9uxZ3n33Xdzc3OjVq5dtP7d6/13bxl9++YU1a9bw2muvERoaanvtr38/V7VRo0axc+dOvvrqKxITE/nqq6/4+eefbX/bRx99lDVr1vDdd99x5swZpkyZQmFhIffffz9+fn4l/kZ+fn62v9vNXsdr/54Gg4FatWrZzZXO60ke/ZPkUfU4ci6VPGqnebRck06KarN69epS8xevWrVKCQsLs/189epVZfLkyUqXLl2U9u3bK5MmTVKys7NrOlSb1NRUZfz48Ur79u2VHj16KLNnz7atO3XqlPLYY48pbdq0Ue655x5l8+bNJX539uzZSq9evZS2bdsqjz/+uBIfH29b9+mnn5aaP3XgwIHKsmXLqrdBN9C2bVvl559/LrX84MGDysiRI5XIyEhl0KBByrZt2xRFURSLxaJERkYq4eHhSlhYWImv4jler29fWlqaMnbsWCU6Olrp16+fsnLlympv143m9/3tt99KzV2sKNY5eQcMGKBERkYqY8aMsT1opdicOXOUbt26KR06dFDefPPNEvNSP/bYYyXmJk5PT1eeffZZpW3btkrfvn2V9evXV3HLrG72ABJFUZRevXqVmL9YURRly5Ytyj333KO0adNGeeSRR5RTp06VWP/0008rH3300Q33d20b33nnnRu+9mV9oEd5XN/GXbt2Kffff78SFRWlPPDAA8quXbtKbL9y5Uqlf//+Stu2bZXRo0crp0+fvuF+b5SLrn8dr1+n9jzwxSSPSh6tyTyqKM6dSyWP2nce1ShKFT+bVghRLRRFYenSpXzzzTckJSXh7+9Pnz59mDBhgqq3iQ8ePMjMmTM5cuQIHh4e9OzZk0mTJpUY7CSEEPZCURR+++03/ve//5UaNKsme41L2CcZxCqEg5g3bx7/+c9/ePrpp+nSpQsJCQn85z//IT4+ni+//FKVmI4cOcLo0aPp3r07s2bNIjU1lZkzZ3L27FmWLl2qSkxCCHEzGzduZMeOHeTm5pKcnKx2ODb2GpewX1LAC+EALBYL8+bN4+GHH+all14CoGvXrtSuXZuXX36ZI0eO3HCgTHX797//TatWrWxzLoO1n/HUqVNJTk4uMYBJCCHUNnDgQAYOHMiaNWtsc+rbA3uNS9gvKeCFcAC5ubkMGzaMe++9t8Ty4hknEhMTy1zA7969myeeeOKG6zp27Mi0adNu+cS7Tp06sXDhQjIzM9m7dy8ffvhhifX9+vWjX79+ZYpFCCHUYK+9h+01LmF/pIAXopJyc3OZO3cuLi4uFBYWcuXKFdtjlvPy8m74II7y8vb25s033yy1fMuWLQDlmkGjVatWtofBFFu3bh2LFi1i5MiR1KlTp9T6axVP53bixAnbw2b+/ve/8+OPP6IoCv379+ett94qMeezEELcSk3k0cpKTExk3LhxFBYWMnfuXHx9fVm6dCnPPPOM2qGJO5BMIylEJeTk5PD444/Tpk0bxo8fz8svvwzAxx9/DMCCBQswm83VcuzY2Fjmzp1L7969y/U0Ny8vL9q2bWv7UhSFZcuWMWbMGAYPHoyrq2uJ9dd/FU8DVjyl1xtvvIGHhwf/+9//eO211/jxxx/tavo2IYR9UzOPlse8efN45plnGDduHIsXL+all17i8ccfVzsscYeSK/BCVMLUqVMJCQkp8STFzp07M3XqVCZNmoSiKOh0Ots6i8XChAkTKCgouO2+vb29bSew6+3bt49nn32WBg0a8MEHH1Q4/pSUFJ5//nnat2/PpEmTbMtNJtNNf0ej0aDT6SgqKgKgdevWvPfeewB06dIFHx8fXn75ZX755Re6d+9e4diEEHcGtfJoeb3yyiv4+PgA1gdNjRo1qsSdAbXiEncmKeCFqKBLly4RExNTYgAngK+vL+np6axcuZIBAwaUWKfVapk1a1aljrthwwYmT55MkyZNmD9/PrVq1arQfvLy8hg3bhxubm588sknaDQaAJKSkkqcSK9X3Ae+uCvNtQ/qAOjRowcAx48flwJeCHFLauXRivDx8UFRFObPn0/v3r1p3LixXcQl7kxSwAtRQYcOHcJsNtOxY8cSy4uvFF28eJERI0ZU6TG/+OILZsyYQefOnfnss88qPP+7oihMnjyZhIQElixZUuKfgMDAQFatWnXT3y0u3Bs1agRYH5l9reKr925ubhWKTQhx51Ajj1aUoijMmjWLoUOHEhoaqnY44g4nBbwQFWSxWPDx8SlVqBafeG4000tlbrEuXbqUf//73wwaNIgPP/wQvb7iH9/PPvuM77//no8++ojw8PAS61xcXGjVqtVt99GsWTOCg4P57rvvePTRR23Lt27dCkCHDh0qHJ8Q4s5Q03m0Mj7//PMSxfvWrVtp2rSp7WKGdKERNUkKeCEqqGPHjiiKQkZGhu2poxcuXGDz5s1oNBrMZjMnTpz4f/buOzqu4z74/veW3cVWdKKTRCEKK8AiVlnValb1YyU6cn8sJ5FlO87J+9qvy8nLHMe2juKcJ/Erx45sWbYs27JCyYqsYlVSlZTYxAaCAInee9t+y/vHXRSKKiCJxQKL+Rzh7O7dxc4M92r2h7kzv6GiomLydy70EmtfXx8/+tGPKCgo4M477zwnT/DSpUsn69DR0UFfXx8rV67Ebref814vvPACP/3pT/nEJz5BcXExR44cOSt1WXV19Yzr9c1vfpNvfOMb/MM//AO33347p0+f5t///d+59tprz/nDQBAE4b3msh+dzjCMD0zZ+MQTT3D//ffz5JNPTs55/81vfkNnZye/+93vWL16Nd3d3Rw9epSf/OQnc1YvQZhOMsWZIggXbO/evezatWsyM0tWVhaf/OQnuffeewkGg2zfvv2c3O0XYteuXXzve99DkqRzOndJkvjRj37ErbfeCsAPfvADfvvb3/LKK6+Qn59/znt9+9vf5sknn3zfLwlJkjh58uR51W3Pnj389Kc/5dSpU6SlpXHTTTfxjW98A5vNdl7vIwjC4jRX/SjAa6+9xq5duzhw4ABDQ0NUV1dTUlLCD37wg8nXPP744/zbv/0b//qv/8r27dtpa2tj37593H777bz88st85zvfYeXKlfzHf/zHZIA/F/UShOlEAH8ewuEw//zP/8yLL76Iw+HgS1/6El/84hff97V33303u3fvPuvYf/3Xf3HZZZfNRVWFRe6Tn/wkv/jFL8jMzEx0VQThLKIfFRaCQCDAnj17Zu0PB0GYbWIKzXm47777qK2t5eGHH6ajo4Nvfetb5Ofnn7NCHqCxsZEf//jHbN26dfKY2NhGmAuvvvoqsiyL4F2Yl0Q/KiwEJ0+eZOnSpYmuhiB8IDECP0OBQICtW7fyy1/+cnK1/M9+9jPeeustfvvb35712kgkQk1NDc8++yzLli1LRHWFRaytrY309PQLzlAjCPEi+lFhofjP//xP/u7v/g5ZFvtdCvOTODNnqK6uDk3TqKmpmTy2fv16jh49es5rGxsbkSSJwsLCuayiIABQVFQkgndhXhL9qLAQnD59mpKSEhG8C/OaODtnqK+vj/T09LNS92VlZREOhxkaGjrrtY2NjXg8Hr75zW+yY8cObr/9dl577bW5rrIgCMK8IvpRYSEoKyvjuuuuS3Q1BOFDiQB+hoLB4Dkp+SYev3cjm8bGRsLhMJdeeikPPvggl112GXffffc5qf8EQRAWE9GPCoIgzA6xiHWGHA7HOV8wE4+dTudZx++55x6+8IUvTE5jqKio4Pjx4zz22GOsXr16biosCIIwz4h+VBAEYXaIEfgZysnJYWhoCMMwJo/19fWRkpJyTh5YSZLOmYNcUlJCT0/PjMsTa4sFQUg2oh8VBEGYHWIEfoaqqqpQVZXDhw+zYcMGAA4ePMiaNWvOee03v/lNVFXlhz/84eSxurq6s3aS+yiSJDE6GkTXjY9+8QKjKDI+nzNp2wfJ30bRvoVvoo1zSfSjsyvZz1PRvoUv2duYiH50ggjgZ8jpdHLrrbeyc+dOfvjDH9LT08NDDz3EvffeC1ijSD6fD4fDwTXXXMM3vvENLrnkEmpqavjzn//M4cOH+Zd/+ZfzKlPXDTQt+U74CcnePkj+Nor2CedD9KPxkextFO1b+BZDG+easnPnzp2JrsRCsXXrVmpra/nxj3/M22+/zd13381tt90GwIYNG1i+fDmVlZWUlJSQnZ3NAw88wAMPPMDY2Bj33XffeY0cAYRCUQwj+S4By7KE02lP2vZB8rdRtG/hm2jjXBP96OxJ9vNUtG/hS/Y2JqofBbGR07w2NORPyr9YVVUmPd2dtO2D5G+jaN/CN9HGZLcYPsNkbaNo38KX7G1MZD8qFrEKgiAIgiAIwgIiAnhBEARBEARBWEBEAC8IgiAIgiAIC4gI4AVBEARBEARhAREBvCAIgiAIgiAsICKAFwRBEARBEIQFRATwgiAIgiAIgrCAiABeEARBEARBEBYQNdEVEARhbpmmiW6YaLqBpptENcPa5towmdjXTZIkJAkk6wGSdYOEdVxVZTRkBocCRKLW7+uGOfWjGxix+5phYsR+rHJ1NENHM/XJ+7oRuzV1AKqXLWVFQXrC/o0EQRA+zEQ/GtWMyb7UujUwTCb7TAA51plO9KcygASqqhBFYnAwQCSqo0/rJ3XdRDeMyWMT/ajVV1v9ZVS3+syJxxN9qW7q6IZBRU4+NWV5VvlC0hEBvCB8BNM0McMhjFDIOiBJgASyhIRkPZatY1Ls1rAp6GEVIxzG0AwM0yQc0QlHdIIRjWBYIxzRCUU0QmGrIzZjAbRpmrH7BqYBmNbvTzxvGCYRUyJiSIRNCOkmYSNCRI8Q0aNEzAhRPYpmWj+6qaOZGgYahqljSDpIOsgGkmyAHLsvGSCZE422voBME9kETJCnHZNMkCQTUzJAMjAlkGQDUzYh9j6mbFrHJt43ditPfJdM2wN68uvFBFOGV464SdtXxY2VO9hcmY+qiIuFgrCQmIaBGY1iRMKYkShmJIwRiWBGo0iqimR3IDusH8lhR1JtSB8RaE70o8GwRnBa/2k91ohqBoZuomk6hmaiazqGbmJoOrpmoOum1R/r1usM00THtAYQTJ2oqRNFQzO1ydsIUTSiGOhoaBiSji5F0TFA0TBjfSmKbvWh8rR+dKakWF+MgYSBjNUfyxjImEgYSOhIkol0zntLYIJkKMiGAqaKbChIpsKbY0HsR4q5aumlXLWuFKdDhHzJRHyawqKkBwKEW5qJ9PZiBALoAT9GwB+7H0D3+zGCAQx/AD0YAF2f9TrYYj/eWXgvQwJDBk2WCKsOQjYPYdVFWHFhSCqGpGCiYkhq7NYeO249Z0gquqRiTvxxgmTF15KEGQuvzdgfK7ExelzRUdZ1vYxdD81CC87WvmSEVzeM8ru2Ezx2tIwrlm7jqppleF32WS9LEITzo4+NEWptIdzSTKi1hWhPN0Y4clawbmraeb2nKckYqoqh2NAUG1FJJSKr6EgYho5hGmDqGJKEprqIKi4iqtv6UTxEVA+a7MSUlAtu10SfDErsxzHj35VMHTCRTAOr1zRh4r5pTt4y+diYdnyyx518DUwdI/Y6AF22+m1NtqFLqvVYtr1vnZbrAcZz9vJsagPPPrmUTZlb+cTGKpakOc//H0eYdyRz4pq5MO8MDfnRNCPR1Zh1qiqTnu6es/YZkQjhtlZCTU34m5oYbOtlZCRKwJ5KWHVhImNKEiYyhjR135QkTEme9ryEakSw6RFUI4zNiGDTw9b9iWN6BJsRRtUjGJKMJtvRZRuabEdTbGiSDU2xn31ctgESshFFMXUUU0MxNOTY7XsfA1ZwrroJxW6txy5CqvuivsDOV/7IKar69sblvQ0Jjpc52bvWTVBxYPQuZ2PmJq7bWEZhticuZU6Y63M0ESbamOwWw2cYzzZqw8OEWpsJt7TEgvYWtMGByed1SSGsumJ9YYSLnaxhAlElhZDqJqS6Cdq8BG0+ArHbkOqemptyESRTx0Selfeaz1Q9TF5oNwfWhelNs2MM5lGqrufG9aupXJb+kVc9Lrr8JO9LE9mPigB+Hkv2Ez4e7TM1jVBHO8MNzfQ3dtLfNYI/aBKw+fDbUwmpnqTvsM9lokomijxxC4pkosqgyKAqsVsZZNma/24NtltTgqzHsTnxkvW4b9SkZ9gam7/hEhtpLik2aGRa/02MIk0eM6f9u0vTbqz7k18iEkR6exl6/jnMSASAkF1i71o3x8qcGKaK1ruUYnUd168vZ21ZZlzmdyb7lw6IAD4ZxOM8jXR1Mn74EMHTDYRaWtBHhiefM5AZd6Qz6shiNCWTUUcWfnsaSLEpbqYOhgZmFJMIhhzBUMLoagjNHkRL8RN1BrAZErZICraoEzXqRNZcSLoTDBem6WTGkwNMA4UANvzYpQB2OYws6SiSgSzpyLKBIpvIkoki6yiy1f9ZxxVkU0I2rB/JkJEMCUwZ05DBANOQMA0wDKtzNCUFJBlTVjAlJTboI2HKsYGeaYNATA4CSdOuXk79EBsgUhQFTTcACTPWJ8YmK8Zmx0y7AgqoioSqTL8FmyKhKOZZx0YGQxxsjpVhRFnT9TI9ecO8tdaN36WgD+aQEVzJdWvXsWVlDnZbfAZ+kr0vFQG88L6S7YQ3DJNoREPXDBx2G329YwT8EcIhjVAoSjikEQ5pRGL3Q0GNcChKJKxjmiaShNXBxeYAmpjWXGvTgEgEORJFiWpEFCea8tGXPk10IrYIpqxjxuYtmpKBOTm324zdt34AFF1F0WzWj279XBAJ7HYFu0PF4VCRJIloVEfTdKIRAy2qYxgf/b+m02XD7XXg8Tpw+2K33qlbt8eBapNnfZQl6I/wyM/2oWkGy0ozuOH2tbP6/tHBQfoff4yxt/dNHutPU9izwUtHjh3TkNH7CkkNVPJX29eysXLJrJaf7F86IAL4ZHCx52lUj+KPBhhvOk3w3XfRjp5A6RsEJoL1NMYcWYw6MhlNycJvT8eU5ng9igQOj4TTp+JJc5CW4SIjw01WZiqZ6V7UOAWecyHe/UxjbTcv/vkkhikhGzqru/eQFm7nwEoXh6pcaKqEPpKJbWAF169az/Vbls36d0Wy96UigBfeVyJO+EhYY7Dfz2C/n6H+AFpUn8pIMn1kdtrtxOisoZtEwhqRsEY4rE/et350opHZn0c+I1IIzT7OuMdP0O0nnDJO2Oknag/yYdd7JSR8dg8+h49Uu49UhxeffdqPw4tb8eAwUyAqx/4AiRIKamhRHa83BU03UG0yNruCw6Fid6jYHQqqTfnIjlLXDbSogabpaNFYYK/pmCa4PXbcHgeKmpjFnaoqc2hvK2++fBqAm+5YR+Hy2c8aE6g/Rd8ffke4rXXyWP1SB2/UeBhzK5iGhN5dzM7rP0te5ux1osn+pQMigE8GE59h/8AoI6Fx/NGAFZBH/fij/mn3A4z7Q4TGNMJhDS2o4e6PkD4IaaMysmFN64vKDjTFTlS2E7J5PnQ6XsQRIOgeIegaIez0o2g2bBEHajQFNeo4675sfnA/pdpkPD4H3lQnXp8Djy/FeuxLITXdSdHSDEbHgkn5Gc5FP9PePMRzu46haQaSabCy53Vyx5sYd8q8We2mbnkKSBL6SAZfqPwMW6oKZ7X8ZO9LRQAvvK94nvC6bjA8GGCwz89gn5+B2O3YyOwvSJwJEwNdjVo/SvQ99zXAxB00SBs1SBszcIbNyQWXE8t7IqrMqNuO3y3hT9eIpGnIXg2bE2yqgixNZY2RY5G7TVHx2X2k2r2kOnzWj9269do9yBc42rQYOi1nip2f/PBlQoEoWTkePvWFDXGZT2kaBiOvv0r/nx7HGB8HQFdl3qlycrDKha5KbFJu5QuXbZu1MpP98wMRwC9UgWiQuqEGagdO0TjSzFh0nEA0+IGvd46nkdVVjG8o1+r/LkDUHiTsGSPq8RP1jhP1+DHtOrIkIyGhyirpjlQyUtLJSEk76zbV7iMaNgiMR/CPRwgGIqSk2PD4HHh8DuyxK5DvJ9n/P5yr9nV3jPDMY8eIhK3v0orefRSOngKgN8POq+tddC6xsySwkf/3xr+a1bIXy2eYkLITUqrwkR779X40zRqxnph3bM1HBjk2L9k6Zj1vmlNzj8333E4/rmlW4D48EPjIKRpOt42UFNs574lpYt2cfVyWpckR5qnRZpWIFKIt1EZboI200QClHeNkDwex6REkwiBHMBQDQ5XRbQqaoqIpClFZIYyCpkksHRzGG5sTPV2/M4Oxogrc62pYVl1FwRKPyHk7R1KcNi65tJjXnq+nv2ec+hM9VKzOnfVyJFkm7bIr8G7YxMBTTzK85xUUzWDrMT8rG0Ps3uThXddRTHNr3BdkCcJcM02T9vFOTgyconagjqbRVisjS4yimfhCBu6ggSukW7cBEyWcR8ioIKxkf8ibG8hmFF0G02Ejxe0gzeskI82Fz5dCVq6X7FwvLvfFZX9SXeB02cmc3ZluwgzlFqRyy53VPP3HIwQDUU4t2YqZmkFR216WDEa4/aUIdcsd/GV1PePBKB7nBU4NFeaUCODnqbpj3XNWls2ukJHtJiPLTWa227qf7cZ5ESn7DNPgxEAdr7S9SsNAA+UDYa6p9ZM18mHTaHQg+uHvK8mMZi/Ftmot+dsuobx4di/3Cedn9fp8jrzTxshQkHdea6K0Ijtuc1IVj4cld36G1I9dRu+jvydYd5JUv86Nr43wm+ubaOgcorwgIy5lC8JcCkQDnBy0RtlrB08xGhkDQNFNcgeiFPRFWdpnsGQgij08la5Rk1S6fCtoTVvJuM1rZUIEFCNCwUg9mYF2DNOg35uDXlJO9oa1lJcsITs1Rfzxm+Sycjzc+pka/vzoEcZHw9Q7KlB2lFFw6AnMgJ/K5jBtOT3srj3FTRtWJ7q6wgyIAH6eWlqSQTRi7aZmGkxu7mNMjHob0zb8gQ+fp87UcVmW8KU7pwL1LDfeWey8w3qEfV0H2NP2BgPjfaxsDPL52gCp/qkRozHFyeHUCsKyDZuhYTM17LHbiccOdFyyTopkYMdAyS8ia/NGMjfUoLiS/7L/QqEoMlsuL+H5P51gfDTMsYMd1GxZGtcyHYVFFP7jNxnf/w5dD/wM1YDK9nGe9xyivODquJYtCPF0vP8kz7fspjk2ym6LGuT1RVnVF6WgN0rugIbyPldOQ4qL9rQqOnzlZy3gV7Ugvmg3aSlBnMXpOEs3ULylGp9X5AFfjNIyXNz6aSuIHxkKcrJbQbr2KxS88WuMvj4qm0O8tOSQCOAXCBHAz1NfuGf7gpozNhweYU/bm7zRsQ89FGBNQ5Cb64K4Q1P1H7R52Ze2mhO+EnTJmpOenZZCToaL3AwXSzJck/fTPHYxIrRAFJdnkVuYSnf7CIf2tlC5Nveirt7MhCRJeC/ZzNDulwk11FPZFOJ3+cfRjStRZLFrq7DwNI4086tDD1HYFWZHb4T8vijZQ5q1E/J76Eh0OzJp8SzH7y5CsvnO6i896U5WbShgbXU+aoIWugvzkzc1hVs/U8PTjx5hoM9P7bE+/Ms+TknfHyjsiaJF6+kfDpIlNnua90QAL1y0+r5WfnrsAWyhENWnAqytD5ISnfrW6bGnszd9DaPLKikpTOcLRWnUrMzFpU7kDhcWMkmS2HZlKU88fIhIWOfgmy3s+PiKOSk7det2Qg31ZI7qZOrtHGnsYX1Z3pyULQizZSwyzgtP/5zP7OvHEzx30CYqKXSmZNOWsoQ+XyHu7EJSNIiOR5geni9fkcm6S4rIK0wVAyDCB3K57dzy6WqeeewYPZ2jtAzbCeRezpruPVR1D/HCiWPcuf2SRFdT+AgigD8P4XCYf/7nf+bFF1/E4XDwpS99iS9+8Ysf+jvt7e3cdNNNPPDAA2zatGmOajo3oprOs6/up7nxMS7vC1DeEsI2bYp7f1o+4xsuI3fTer5SkDa5MCbZV6UvRjn5Psqqsjl9so8ThztZvaGAtAxX3Mv1bNxIz+8eBl2nqsXPi579rC+7Oe7lChdO9KNnCw8Nsv+n3+fK5qHJYyHZRnvKEtqcOYxnF5FaXEKGouIaDODr9cNwZHK1kGqTqVqbN2f/zwnJwZFi46Y71vLc48fpaBmmz7OMHs9yKptaeTz/EHciAvj5TgTw5+G+++6jtraWhx9+mI6ODr71rW+Rn5/Ptdde+4G/s3PnToLBD07xtdDo4+P4T9XRvPcggbpaqkIjVL3nNXLFKnJvuZny8oqE1FFIjM2XldB4qh/DMNm3p5HrPhn/eZSKy41nXQ3jhw5Q0RLm9dI6wpFP4LAv3M1dkp3oRy2maVL/5xeIPPffFEathaijDjvvLL2SzA01LFviY0kgSkfjIJ0NQ/S85/dzC3yUr8rhkh0lhCNRMRginDebXeWG29fw6C/2MzYSostXRk1nE+5oI609oyzN8SW6isKHEAH8DAUCAXbt2sUvf/lLqqqqqKqq4q677uKRRx75wC+ep556ikAgMMc1nV1GKEiwoYFAXS2BkycJtbYiYZICpEx7XdSVQmb1RtI/fi2OoqJEVVdIIF+ak9UbCji6v52m+n662kfIK0yNf7lbtzF+6ADukEFRoIO9p1q4fE1J3MsVzt9i7Uffq/lkEx2/fojsgVYmlpweKUkl42Nf4QqfjzN1fbx78BTv3dR/AGwAACAASURBVKUlO9dDWdUSSiuX4E1NQVVlXG474ciHZ+8ShA+iqgoVq3M48GYLg858QoqLqvZxnqs9yN/mXJHo6gkfQgTwM1RXV4emadTU1EweW79+PT//+c/f9/VDQ0P8+Mc/5le/+hU33njjXFVz1mhjo/Q89CD+E8dBn5oXMzGrMmSTac+10ZZjo7B6OzdsvkPMuRTYsG0ZdUe7iYQ19r5yhts+WxP388K9Zi24XBAIUNUcYk/qfhHAz1OLrR99r55BP/t//TjZZ45i2Dw0pq9j2J1Gvy8Du5FG/xtd1NN11u9kZLspq8ymtGqJmCIjxEXFmlwOvNkCkkS3t5SK5hP8pvgohnm52FdlHhMB/Az19fWRnp6Oqk79k2VlZREOhxkaGiI9/ext5O+9915uu+02ysrK5rqqs6Lvj3/Af/TI5OOIpNLqzKHVmUtP5Ti9SwdBkticu4Ebqv5KBO8CYG3utGHbMvbuPkNP5yiNp/oorYzv7i2SqpK6aTMjr+6mrC3My6vqGQtE8MY5E45w/hZbP2qaJi2nB2g6M0BjfTfm6DhRpYi2orNTrSoR0Ket6E9Nd1oj7VXZZGZ75rrawiLjS3OSV5hKV/sIXb5SlrUeI9ffQm1LL6uX5yS6esIHEAH8DAWDQez2swOCiceR9+wQ+tZbb3H48GGefvrpOavfbAo2NjK2by8AZ7xLeTN1Fd2OTGRVYfmGNnppAyRWZ1by6cpPieBdOMuaDQUcP9TB2EiIfXsaWV6WhRLnVHa+rdsYeXU3Nh3KBvvYfaKemzeJXMbzzWLqRwPjYfb8pZ6W0wNTB9Wz97AwJB27T2J5fi5pmS7SM11kZLlJz3KJflWYUxVrculqHyFgT2PUkUVV6zgv1B9g9fJPJLpqwgcQAfwMORyOc75gJh47nVP5UkOhEP/0T//Ezp07sdvtmLFJjOZ7JzPOgKLMff5e0zTpf+z3gJUJ4emsLQSVFLatziW7vIMX2o8DUJy6jL+t/hx25fy3XJ5oVyLaN1eSvY0f1j5Vldl2ZSnP/+kEo8MhTh7ponpzfNdFeCrKUbIy0fsHqGwO8UrWQT6prr3g90v2zw8S07bF0o/Wn+jh1b+cIhS0FqeqehhPZAhndBT7sgxey2ok5PKzbEkuX930dyjyhS26TvbzVLRv7lSszuGNFxvQNIMuXxllbW+zu/IESJ9AvYj6zac2xkMi2yUC+BnKyclhaGgIwzCQYxvF9PX1kZKSgs83tVL76NGjtLe387Wvfe2s3//yl7/Mbbfdxs6dO2dcps839xsp9L32BsHTpwF4K30N7sx0fvCFTbRHT/Kz/S8CUODL5XtXfBWv4+Iu7SaifXMt2dv4Qe27ZHsxxw520Nk6zIE3m9nysZK4b+6Ud+UVtD+2i6XdEaJ6A2EDcjMvbtfeZP/85lqy96OB8TDPPnGc2iOdk8cKh2spGzhISlkZBX/3Gb537EH8kQCpDi//12V/Q4bz4jN9JPt5Kto3N6rW5nHsUAc9nmLK+96hZLidY+09XFl98VPY5ksbk4kI4GeoqqoKVVU5fPgwGzZsAODgwYOsWbPmrNetW7eOF198cfKxaZpcc801/OAHP2Dbtm3nVeboaBBdn7vUYEYkQtOvHwZgSPVwMK2KW9bl0RFo4L+O/A6AdEcqX62+Cy0gMRTwX1A5iiLj8znnvH1zKdnbOJP2bbm8hCcePkQwEOWlZ06y4+r4zmN2rN8Ej+1CNqGye5hHX9/L5y/bekHvleyfH0y1cS4lcz/aWN/H7mdOEfDHrihIESrbXyEj2E1H6QYu/9bd/PjAz/BHAkhIfHH1nUghG0OhC+tHIfnPU9G+uVVSmc2xQx1oioM+dxGVLV08deR1apZd+OZ4862Nsy0R/egEEcDPkNPp5NZbb2Xnzp388Ic/pKenh4ceeoh7770XsEaRfD4fDoeDovdJo5iTk0NGRsZ5lanrxpzm9h147jmiA9Z8zd1ZG9AlhdzCEL84+lsM08ClOrmn+i58qm9W6jXX7UuEZG/jh7UvJ99H8Yosmhr6ObK/jZXVefjiuD23kpWDfflyIs3NVDaF+FPeu9wZveSi5hIn++c315KxHw2HNN58+TSnjnVPHiv2BVl6+HFUU+OUeynLbr+DXfXP0DzaBsANxVezIrV01uqV7OepaN/cyC1Mxe214x+L0O0rY01XCy/4axnzR3A6Li5cnC9tTCbJOSkpTr797W+zatUqPve5z/H973+fr3/961x99dUAXHrppTz33HMJruGF04aHGXzWWizWm5pPvXsphUUGf2z6A1FDwybbuHvd/ybPLVakCzO3+fISJAkM3eTQ3ta4l5e6bQcAOUMaLq2R5p6RuJcpnJ9k6kfbmgb544P7J4N3t8fOZZUmJYf+iGpqdDiyeGXZ5YQ9HexpfxOAqoxyrlt+VSKrLQjvS5YlylflAjDgKiAqp1DR38trJxsSXDPh/UjmhawKEubE0JB/zv5i7f71g4y+8TpIEg8V3ECP10P6+ncImX5kSeZv1nyONVkrZ6UsVZVJT3fPafvmWrK38Xzat/uZOuqOdaOqMp+9ZyspzvNf+DxT2tgoZ/7x75EMk3dWuRhb9ynuvvLK836fZP/8YKqNyS4en2E0orF3dyMnDk/NdS9flUNNQZj+n/8EDIMRm4ffFFzPmo1Z1DufJqSHSXOk8v9s+nu89tlJDZns56lo39wbGvDz6C/2A7Ci/x3sSj0vbL+Mf7n5sxf0fvOxjbMpkf2oGIEXCLW2MPrmGwAMl62jJyUTW0EDIdOam3ln5admLXgXFp81GwsA0DSDk0e7PuLVF0f1+nCvsuZTVzaFqB0+hmGIMQph9gwNBHjsVwcmg/cUl41rb1vFjmo3Aw/+HAwD0+Hkj3lXEbA56PS8TkgPI0sy/3vVp2cteBeEeEjPdLMk3wtAl7eM3AENI1DH8FgowTUT3ksE8IucaZr0Pfp7ME0kh4MXPGuQHH7U7A4AtuRuZGvexgTXUljIsnK85BWmAnD8YAeGEd9RmNSt2wHwBQxygy0cb+mNa3nC4hEORXlu1zFGh61gprg8izvu2kRRtkLHT/4PZjgEisKh9TczaE/Fs7SN/oh1/t1Sej2lacsTWHtBmJmK1dY0mnFHBmP2DKq6h3jhxIkE10p4LxHAL3Ljhw8RrD8FgHLpx2kck1ALT4NkokgKNxR/PME1FJLBxCj8+GiY5oaBj3j1xXGvq8Z0WCkrK1sDvHBqf1zLExYHwzB48X9qGRkKArDtqlKuvW0VDlmn8//7P2hDQwBkfuYLvDrkBFsIc4k1d7g0dTlXFX0sYXUXhPNRVrUEWbEW/3f5SqlsCrG/62CCayW8lwjgFzEjGqX/vx8FQM3I5GDmKiTnGEqGNc1hR8FmMp3pH/YWgjAjy1dk4fY6ADh2sCOuZckOB74NlwBQ3hqm1X+CaBLOvRTm1r7djbQ1WUH6ypp81m0qAsOg8+f/SbjNyi6TecttNGSsIKIZ2IpOYUgaEhK3l98qdlYVFowUp43lZVkAdHtK8PpNfP7TdA6MJ7hmwnQigF/Ehl95iWhfHwCZn/wU++oHsRU2IElgk21cu0xkShBmh6LIrKrJB6CzdZiB3vh+EaRutXKFO6Imy8c6ebs+/hlwhOR16lg3R/a3A5BXlMqOq8swTZPe3z9C4PgxAHzbtpNx4828c7IX2TOEmmUNhGwv2EyRNz9hdReEC1Gxxso4F1WdDLgKqGof47njYhR+PhEB/CKljY0y+PRTAKSUlNKdV8Gw0YOSbs3XvKJoB6kObyKrKCSZldV5KLHLsscPxXcU3llRiZRq7XBZ1Rxkd5OYRiNcmJ7OUV79izXN0OtzcO1tq1AUmaHnn2Pk1d0AOCuryPncFwmENY419mNbVguAS3VyU8m1Cau7IFyoouIMnC4rY1iXr4zy1hDH+48gEhfOHyKAX6QGnvwTRtCay5l9x528XdeHrbAegBQlhauXXpbI6glJyOmyU7bSGtWpP95DKBiNW1mSLJO2xVrMurwzwmCwjkBIi1t5QnLyj4X5yxPH0XUT1SZz3f9ag9NlZ+zAO/TvegwAe34++V/5KpKqcuhUH2S2IrvHALip5Fo8tuRP1SkkH0WRKV9l9df97iIUzU7BWBOnOuK7hkmYORHAL0LhjnZGXtsDgHfzFmzLinmn7QRK6iAAVy+9DLfNlcAaCslqzYaplJJ1cU4p6YtNo1EMqBjoZU9tfVzLE5KLpun85YnjBMYjAFz5iUqycjyE29ro/uUDACg+HwVf/wcUlxWk761rxVZoLVwtcOexPX9zYiovCLOgYo2VjcaUFLq9xVS1BHi+TlzNnC9EAL/ImKZJ3x//YKWNtNvJ+l+3c7xxAH3JSQBSZBdXFG1PcC2FZJWd6yW30JracvxQZ1xztDsKi1AKrLnHlU0h3mwX8zeFmTFNk1efq6e3yxpJ37BtGaWVSwAYfm0PpqYh2WwUfO0b2LKyARjxRzhjHECyWVeWbi+/GUVWEtMAQZgFmUs8ZC2x9i3o9pZS3BGmZegYepxTAQszIwL4RcZ/7AiBWiufa/o112HLyOTFhgPIHmvL+euLryRFTUlkFYUkt2ZDIQBjIyFaTsf3cmz6tksByO+PoofqGBwVm5EIH+3IO+3Un+gBoHhFFpsuXT75XPCUNdjhXr2WlOKSyeMvn6hFWWItll6ZtooV6aVzV2FBiJPy2GLW0ZRsQkoqpYNtHDrT+RG/JcwFEcAvIqam0feYlTZSSU0j47obCIajNJkHALCbbi4r3JrIKgqLQHF5Fm6vlaf92MH2uJblvWQLE2P8VV3DvBDLGCIIH6S1cZB9e84AkJ7l4sobKydTQGojI0Q6reDFWVk5+TumafL6wItIEmAo3LnyljmvtyDEw4qVOciydf53+8qoagnx0ul3ElwrAUQAv6iMvLaHaHc3AFmf/BRySgr/c/xNJKd1mfjSnI9hU2yJrKKwCFgpJa258B0twwz2+eNWli09nZTKCgAqm0Mc6DkUt7KEhW94MMCL/1OLaYIjReWGT63B7lAnnw+eqpu876qsmrz/WstBIg4rJW+5YyPpKWlzV2lBiCOX205RSQYA3d4SCno1hkeOE47oCa6ZIAL4RWT07X0AOIqK8G3dhm7o7Bt8HQAp4uamqksTWT1hEalalze501+8R+HTtlrndfqYjjd4hva+sbiWJyxM4ZDGc48fJxLWkCS45tZV+NKcZ70mEJs+o3i92POtP0LDeoSnmp4FwAg5+atVYvdqIblUxhazhlU3g648Kvt6eL3udIJrJYgAfpEwwmFCzU0AeNZvRJJlXm19m6hiBTOVjs3YFPXD3kIQZo3LbWdFlbUosP5ED+FQ/FJKetZvwFStc7uqfYw/HxNZFISzGYbJy3+uZXggAMC2q8ooXH7uLtSBOmsE3lkxNa3mhZbdhExrY7LM8fXkZfjmqNaCMDeWlWbiSLH60C5vGZVNIXY3vZ3gWgkigF8kQo1nQLcueTnLK4jqUZ5tfgkAI+DhpqptiayesAit2WgtZtWiBiePdMetHMXpxFOzHoDylhC1Q4cIR8XlX8Gau97RMsSzu47RcsZKo1u5Nncy3el02vAQ0R7rPHVVWNNn+oMDvNiyBwB9JJOPFdfMTcUFYQ4pqsyKldaAS597KanjMkqglo5+cTUzkUQAv0gEYnM3JVUlpbiE1zv3ETSsUSPv6BqW5ohdV4W5lZ3rJbdgIqVkR1xTSqZutVKjusImS/1t7D7eELeyhPlP1wzqjnWz66GDPPWHI7Q1WsF7boGPj11TPjm6Pl3grPnv1gLWJxqeRjd1TENCa6nikqqcuWmAIMyxiZzwhqzS41nOqrYRnji8L8G1WtxEAL9IBOutrcBTikuIyCZ/aXoFAGM8lR3Lqt/3C0sQ4m1iFH5sJETLmfillHSvXIXks/5IXdcQ5OXmt8SW4ItQwB/hwBvN/PZne9n9TB39vdYghiNFpWZLETfcvhZFff+vxUBdbP57aiq23DxODtRzpN9Kyav1LKN8SSFpHsfcNEQQ5lh2rpf0TGuDxy5vGSubQpwZPUgoIna4ThQRwC8CRjRiTaEBnBUV7Gl/A79mZf6ItpezZaUYNRISo7g8C7fHSil5/GBH3MqRVJX0y64EYHlXBNWop6FjKG7lCfPLQO84u5+t45H/3Mv+N5oJ+q01F2kZTj527Qo++5WtbLm8dHKe7/sJxua/uyoq0U2d/254CgAzYkfrKOMS0Y8KSUySpMlR+BFnDjoeKvs7ePFY3Uf8phAvIoBfBEJNTZia9VeyVFLMS62vAqCPZLDcU8ySdFciqycsYlZKSWu31PbmIQb745dSMu2yyzFlq8tb1zjC/xx7M25lCfNDfW0Pf3rkMI/96gB1R7vRdeuqS1FxOjfcvoY7vnwJq2oKsNk/fMfU6OAA0b5eAJwVVbza/hY9AetxtL0cBRsbyrPj2xhBSLAVq3KYuFjf5S1jbX2APS1viquZCSIC+EVgMnexovCmrYOgZu1GGW0vZ7MYNRISrKo6f1pKyfiNwqtp6XjXbwBgVWOI1uARxgKRuJUnJN6jD75De7N1pUVRZarW5fHXX9rEjX+9jmWlmTOeOjgx+g5glBbxbNOLAMjBdPT+AlYuz8Drss9+AwRhHvF4HZM54Tt85aSPQkagnpNtfQmu2eIkAvhFIFhfD4BtaRG7e6xFJ/pQNgTSuKRySSKrJgi43HbKJlJKHu+Oa0rJtCuvBsARNVnZ38Mz7x6NW1nC/OD22LnkY8V89itbuPz6CjKy3ef9HhPz39X0dA5EWwjpYet4YyUgsXml6EeFxWHNBmvdUlR10uMppvrMOE8eF1czE0EE8EnO1DSCZ6yMG105KUQMKziKtpdTtSydVLHoSpgHJtL2aVGDuqPxSynpXFGOWmCVta4+wN6ufXHNfiMk1qf/Zguf/9o2NmxbhvMiRsgnNnByVlTSGZs64zLTMf2pqIpMzQoxfUZYHIqK00mLLWZtS1tJSXuYIf+7DI+HE1yzxUcE8OchHA7zne98h02bNrFjxw4eeuihD3ztU089xbXXXsu6deu44447OHo0MSN9oZZmzIg1TeB0hpX7Wh/Owgx6xfQZYd5YkucjZw5SSkqSRMZV1k6ZWcM6S0KNHDwdv2k7wrnmsh8trchGUS7uay7a14c2YGVIclVW0RfsByA0lgLAutJMnA6xCZ6wOEiSNDngMu7IYNSRw9r2Pv787qEE12zxEQH8ebjvvvuora3l4YcfZufOndx///08//zz57zuwIEDfO973+OrX/0qzzzzDDU1NXz5y18mEAjMeZ0n579LErXeIABGwIeqSGLRlTCvTHwpjA6HaI1jSknf5q3gtIKv6tN+nj71RtzKEs610PrRidF3sDZw6g1Y833D49Y5JLLPCItNxepc7LE/WtvSVrLmTJCD3fvQDSPBNVtcRAA/Q4FAgF27dvHd736Xqqoqrr76au666y4eeeSRc17b39/PPffcw0033URhYSH33HMPIyMjnDlzZu7rHZv/rhYWMqZYI/Fm0MPa0ixcKbY5r48gfJCSimxcsZSSRw+0x60c2eEgfcdlAJS2hwmEj9MzFL/sN8KUhdiPTs5/z8wknOYioFkDIWbIjcOmsLY0c07rIwiJZrMrVK3LA6DPXYSkuSkebmLfqdYE12xxEQH8DNXV1aFpGjU1U1tlr1+//n0v6V533XX87d/+LQChUIhf//rXZGVlUVZWNmf1BTB1ndBpK4APL8+bPG4EPSL3uzDvKIrM6lhKyY6WYTrbhuNWVurlV2ICsglr2wb50+F34laWMGWh9aOmaU5exbRG3/unngu5qFmRhcP24SkoBSEZrdlQYKWUlGTaUyupbgjwXMPria7WoiIC+Bnq6+sjPT0dVZ2a65iVlUU4HGZo6P03hNm7dy81NTX89Kc/5Tvf+Q5Op3OuqgtAuK0VI2SljBzMt3ahNE1w6D4xaiTMS6s3FE5uprP/9ea4lWPPycG1eg0Aa84EqR06QCSqx608wbLQ+tFoby9arF6uyqnpMwBGyC2mzwiLljc1heUrsgDo9JWTPQjK+Ak6B8YSXLPFQ6y8maFgMIjdfnYWg4nHkcj755IuLy/nT3/6E7t37+Zb3/oWBQUFrFu3bsZlXuziq3CDNfqOJNGWrcCgNWpUWZSJy5m46TMT7brY9s1nyd7GeLVP9dip2bKUfXsa6WwdpqttmKLijFktY0LWNdfQdvwYrpBJ6XAbr548zfXrq4Dk//wgMW1baP3oWMNU/nfvqpX0D1pXakxNxSE5qV6RhZrAcyTZz1PRvvmtZnMRTfX9aIqdbm8p1c0t/OnIXv7+musmX7PQ2/hREtkuEcDPkMPhOOcLZuLxB40IZWZmkpmZSWVlJUeOHOHRRx89ry8en+/iRpq6m04D4Fq2lE6sUSQz6CU/20t6+vnnQp5tF9u+hSDZ2xiP9l1+TQVH97cT8Ec48GYLa2oKZ7zhzvlIu3QL3b/LJtrTR3V9gOey3+LOqzae9Zpk//zm2kLrR3sbrRS8Kbm5LClbytBb1mJbM+wiL8tDdpb3gt97NiX7eSraNz+lpbl46+UzdHeO0pa2ko3Np3hjxQGcrltIeU9mpoXaxvlMBPAzlJOTw9DQEIZhIMe2Y+/r6yMlJQWfz3fWa48ePYqqqqxcuXLyWElJCY2NjedV5uhoEF2/sFXdpmEwfKIWAEfZCtpHrJEkI+jB7VAYSuCiPUWR8fmcF9W++S7Z2xjv9tVsWcqbL5+mvXmIIwfbWBanKV8ZV36cnj/8nrwBjRR/LW8fa6O8MCPpPz+Y+gzn0kLqR03TZPjIMQBSyisYGvLTMWztUWCE3KS6bQntR0H0MwtdMrRv9YYCujtHCdhTGU0pYFVPB3989QA3b7KmKCZDGz9MIvrRCSKAn6GqqipUVeXw4cNs2GBtx37w4EHWrFlzzmt37dpFR0cHDz744OSxEydOsHr16vMqU9cNNO3CTvhwWyuG3/pyiS4rIBy0FomZQQ+pbvsFv+9supj2LRTJ3sZ4ta+qOo/D+1oJ+CPs29NI/tK0uIzCe7Zup3vXfyNFo1Q3jfF4+uv837k3TT6f7J/fXFtI/WikqxNtZASwAvhoVKcntojVDLlIy3bMm3Mj2c9T0b75q7gii5SXbYQCUdpSq1jb8Ap/LHiD66tXntVnL+Q2zlfJOSkpDpxOJ7feeis7d+7k2LFjvPTSSzz00EN8/vOfB6xRpHDY2onsjjvu4O233+bhhx+mubmZn/zkJxw/fnzytXMhcOrU5P3BvKmRLSPoIcMrdl8V5jebTaFm61IAervGaDkdn7zwistN6tbtAJQ3h+gaf5fxYDQuZQkLqx8N1E3Nf3dVVjESGSWix1LxhtyiHxUEQFUVVlVb2cMG3IUoES85w6eoa+//iN8ULpYI4M/Dt7/9bVatWsXnPvc5vv/97/P1r3+dq6++GoBLL72U5557DoCVK1dy//33s2vXLm655RZef/11fvnLX7JkyZI5q2uwwQrg7Xn5dEnWqnDTkKwvHl/KnNVDEC7Uyuo83F5rgeP+15sxzfjszpp+5VUAqAas7u7m6cNH4lKOYFko/ejEBk62nFzUtPSzUkgaIRfpXtGPCgLAqvX5yLI12t6eWsm6M2M8eVyklIw3MYXmPKSkpHDvvfdy7733nvNc3bTRGoDLL7+cyy+/fI5qdjbTNAnWWwG8s7yCLn+PdTzsAlMmTYwcCQuAqiqs37qM119ooL93nMZT/ZRWzv7uwY7CIuwrVhBpaGBtfZBH8vdyp7lp1ssRLAuhHz0r/3tlJcBZKSStgRDRjwoCgNvjoLQqm4YTvXT5ytjefJjxkUOM+D9BZqpYvBovYgQ+CUW6OtHHrFF3Z0UFnX5r4ZUZ9OBx2sTGI8KCUbUuD28sUNr/RlPcRuEzr7oGAF/AoHD0DAca4rcTrDD/RTo7JvtQV4WVWrQ3GJv/HrWDbhNXMgVhmrUbCwHQZRtdvjLWtQ7w1OGDCa5VchMBfBIKTpv/nrKinG5/L2DNf08Xo+/CAqIoMhu2LwdgqD/A6ZO9cSnHU10DqdZakerTfp6qFZd/F7NA3cnJ+86KiRF4K4A3Qi4A0ZcKwjRL8nzkFFh9aFtqFZVNYd7t3odhxGfQRRABfFKamP9uy8lhxGESNaxFeUbAKxZeCQtO+eocfGnWaOeBN5oxjNnPZCCpKplXWPOwl3ZHiY4fpWtgfNbLERaGYGwqjz0/HzU1FYC+yQw0btwpqriSKQjvMTEKH7J5GbMXsqKvibfqmhNbqSQmAvgkY5rmZAYa54oKumLTZ8CaQpMuLvsKC4yiyGyMjcIPDwZpOBGfUfjUSy/DjOUmX9c6xCNvvBaXcoT5zTQMAvVWAO+MTZ8xTIP+oJUJyQy5xPQZQXgfxeVZuD1W4oHW1CrWnQ7wzCnRj8aLCOCTTLS3B31kGABXxbQFrIaEGXaJEXhhQVqxKoe0DGsx1IE3m+OyIYiamop3k7V4dWVjiKOde4lo+qyXI8xvkY72yT00JhawDoaG0UzrXDBCbjF9RhDeh6LIrN5QAMCwKw970Idz6ChtvSMJrllyEgF8kpk+/91ZXjm1gDXkBlMWXzzCgiTLEht3LAdgdDhE/fGeuJSTfuXHAbBrJuV9rbxytCEu5Qjz1/T5767y98tAI0bgBeGDrKzOR1Gs0LItrYrqplEefnN3gmuVnEQAn2QCsfnvalYWtszMyRF4I+gBEF88woJVVrWE9CxrAeHBOI3Cp5SUohRZ8zirG4L85fSeuGW+EeanQCx9pL2wCMXrBTgrB7wZdomBEEH4AClOG+WrcwDo8ZRS2AmN7W/hD4kN8mabCOCTzMQIvGtFBYZp0BMbOTInAnjxxSMsUJIksWlHMQBjo2FOHumKSxlZV18LQMaoTqa/jnfqRUrJxcI0jKn877HsVXI1+AAAIABJREFUMzCVQtIIp4Chin5UED7Emtg0GkNW6PJVsLqri/9+e3+Ca5V8RACfRKL9fWiD1kIrZ0UFfcEBNEMDpkbgxciRsJCVVGSRtcQ6lw/tbUGLwxx176bN4LZG+jfUj/PEyZfFKPwiEW5txQgGgan57zA1hcYMW+eFuJIpCB8sc4mHgmVpAHSkVrCqIcSB7lcJRbQE1yy5iAA+iQTeM/99YvoMgBn04nHasIvUZ8ICJkkSmy5dDoB/LELtu7M/Ci/b7WRdaaWUXN4VwRk6zrtNs1+OMP8ETsXmv0sSzvKpAH56CkkQVzIF4aOsiaWUDKtuxuzLWNvVypMH3k1wrZKLCOCTyET+dzU9HVt2Nl3jVgAvmbK18Ep86QhJYFlZJkvyrLnJh/a2EI3O/ih8xrXXgsNKh7a5bpRdx16Z9TKE+ScYW8DqKFqK4raCdc3QGAgNAdYCVhBXMgXhoywrzZzcv6M1bRU1JwPs69xDVGT2mjUigE8iwWn53yVJmswBr2o+QBJfOkJSmD4KH/RHOXGoY9bLUD1eCj5xAwCl7RGU0FFqW+OTf16YH0xdJ9hQD5w9/70/OIiJNYXKCLnFlUxBmAFZliY3dhpLySKo5LO6t5mnDx9LcM2Shwjgk0R0aIhonxVgOCsqAKZywIsMNEKSKSrOIDe2bffhfW1EwrM/tzL/lpsxbSoAl5wa4Y/vilH4ZBZqacYIhQBwVlZNHj8nhaQYCBGEGalal4crtrFTY0YNNScDvNa6Gy0OGcQWIxHAJ4lgbOdAAFd5BbqhT2agCY+Jy75CcrFG4a2MNKFglMP7Wme9DHtaKplXXAXAitYweuhdznQOzXo5wvwwkX0GScK5onzy+EQGGszYZnhiIEQQZkS1KWzcvgywRuHDUj4VvWd4/khtgmuWHEQAnySC9db0GcXrw5abR1+wHz22c6Dmjy288okAXkgehcvTWVqSAcCR/e2Mj4ZmvYzMGz6BqSpIwCWnhvj9oZdnvQxhfpjYwMmxbDmKyzV5fCIHvBR1ic3wBOE8rarJxxuLPRozqtl4MsBLTa9gGCKz18USAXySmJz/Xl6OJEl0vicDDUC6V4wcCcll6xWlSBLomsHbrzbN+vvb0tJIu/RyAMpbwwQCB2ntEduCJxtT0wietnbddU2bPgNTU2j0oBMQAyGCcD5UVWH7VSsAaxQ+Qj4r+ht45Xh9gmu28IkAPgloIyNEuq00d87Y4quucWsBqyKpmGHxxSMkp4xsN1Xr8gCoP9FDX/fY7Jdx/Q2YsoxswuaGIX53SGwLnmxCzU2Y4TBwdv53gL6gtbeGEZxIISkGQgThfKzfvBS3d9oofK2fv5x+CUPsr3FRRACfBCbSR4I1/x2mFrB6pXRAAiDdIwJ4IflsurQYm93KCvLWK2dmfdMlW0YmqTsuBaCyOcTI+H66Bmf/DwUhcSamz6AoOMum5r+H9QjDYeuKiyFSSArCBXnvXPiomc/y/lO8WTf7V00XExHAJ4GJ+e+y240939rCeCKAdxjWbmgi9ZmQrFxuOzVblgLQ2TpM8+mBWS8j84YbJ0fhLzk9wO/eeXXWyxASZyKAT1lejJwyNcI+sYETTNvESVzJFITztrI6D3csI01TRjUbT/p56uRLYpfriyAC+CQQmJz/XoEky2iGNpk5QY5Y899F6jMhma3dVIjba3057N19Bn2W05TZsrLxbd0GQFVTiN6xd+gbDsxqGUJiGOEwoYn571Xvmf8enB7AixF4QbhQqqqwftvUKLyu51M4cIL9p9sSXLOFSwTwC5w+Pk6kox0A1wpr+kxvoB/DtAKY6PjEqJGYtykkL5tNYfPHSgAYGQxS+27nrJeRecNNmJKEYsCmxj7+sP/1WS9DmHuBU3WYmrWPgHvVmrOem1jAKiFjRpx4XTZsqriSKQgXompt3uRAS1NGNZtOjvP4CTEKf6FEAH8ewuEw3/nOd9i0aRM7duzgoYce+sDX7tmzh1tuuYWamhpuvvlmXnklPpvATJ//PrWBU/fkscCwFbiLUSMh2ZWvziErx9q07MAbzYRDs7u5kz0nB+8lmwFYdSZI2/BehsdmP3Vlsptv/WjgxHEAZKeTlOKSs56bSCFp172AJBawCsJFUFSZ9VsnRuEzMfV8cgePcrS5K8E1W5hEAH8e7rvvPmpra3n44YfZuXMn999/P88///w5r6urq+NrX/sat99+O0899RR//dd/zde//nXq6ure510vTqDeSsUkO504imLzgGPz3+2KnZEha7RIzNsUkp0kSWy7shSAUFDj0N6WWS8j68abMQHVgI3NPfxh/1uzXkaym2/9qP+EtbW7q3Ilkqqe9dxEAC9HrD8MxUCIIFycqrV5eKZlpNlUO85jx15McK0WJhHAz1AgEGDXrl1897vfpaqqiquvvpq77rqLRx555JzXPv3002zdupXPfOYzFBUV8elPf5rNmzfz3HPPzWqdTNMkcNLa0cy5ohxJtj7OiQWsS1Ky0ay9nMQXj7AoFCxLZ1lZJgBHD7QzOhyc1fe35+Xj2bgJgDWng5wZeIOxQGRWy0hm860fjQ70E+22rli6Vq8+5/m+2Bx4TeSAF4RZoagy67dZg43jjkykaD4ZA+9S29ab4JotPCKAn6G6ujo0TaOmpmby2Pr16zl69Og5r73tttv4x3/8x3OO+/3+Wa3T8O6XibRbC0BcVSsnj09MoUlTMyePiUu/wmKx9YoSJAkM3eTt12Y/TVnWjTcDoOqwobWbx97ZN+tlJKv51o/6jx+fvO9edXYAH4gGGI9aZQVHrf5TrCUShItXuSYPT2wuvDUKP8Yf3xWj8OdLBPAz1NfXR3p6Ouq0S6xZWVmEw2GGhobOem1paSkVsfnoAA0NDezbt48tW7bMWn3CbW30P/YoAPaCQlIvuwKAqB6lL2Cl0XORPvn6dDFyJCwS6ZluVtbkA3C6tpeeztFZfX9HYRHOaisAXVsf4GTf6wRmeb59sppv/WggNn3GlpOLLSv7rOemZ6DRgyIDjSDMFmsUfjkA444M5Eg+7oFD/P/s3XlcVOX+B/DPbMwMy8Cwi4KCC4uyg7hmuFaW2aI3y0yrm+U1q3vrpun1WlbXX9db3crStPSqaZqpaWouuS+pICCCyI4gOwzLMMAwM+f3x4GBcdgZmIXv+/Xi9YJzzpzzPAx8zzPPeZ7vk15g+BTAlowa8J1UW1sLKysrnW1NPyuVbT9CLy8vx+uvv46wsDBMnTrVIGXR1NejYPM3YFQqcAQCDHjlVXAby1KkKAEDdkY3v8Fe+xpKI0n6k8gJQ2AlbFrcKd3gWQ5cZs0GAAjUQGjuPfwcc92g57dUphRHGbVaOwTx/t53oHn8O9C8iBPFUUIMwy/IXdsLn+UYgtG3K7H7xikjl8q88Ds+hACAUCjUu8E0/SwWi1t9TWlpKRYtWgQA+OKLL7p8TR6v9c9XBT/sgTKfTZPn9sw82Az20u4rrmsxjqzeDkAZ7KwFEIsEXb5+b2mqV1v1swSWXkdTr5+dRISI8UNw+XQGCvOqkJNehmH+rp1+fUf1s/XxhjgoCLU3byIotRbbPM/iWc0YCK3MJ8WgMd47U4qjiqx0aGrZORJ2QUHg83WPK61jG/B8jgBoYBvuLlKx3nHGZOr/hz1F9TN/bdWRz+cicqI3zhy9A7nQEfzygRCUxiC//GF4uToYo6jdYsz3jhrwneTm5gaZTAaNRgNu42TRkpISiEQiSCQSveOLioqwYMECcLlc7NixA1KpVO+Yjkgk+je0sitXITvDplJzjIqEz1OzwOFwmvfnso+gxAIRGhTseE0XqTWkUpsuX7+3tVY/S2PpdTTl+j043RdJcfmolNXij7OZCBs9GLwuNr7aqx//+Wdx852bEKoYBN/LxZHERLw0dXxPi23RTCWOAkBVGpvNhsPnY+DYcPBEuuPbZaoKAIAdX4pqsDHWx8vRJPPAm/L/oSFQ/cxfa3UcN2kYblzOQWVFHbIcgzE65Rh2DTyD/5s33wglND/UgO8kf39/8Pl8xMXFITw8HAAQGxuLwMBAvWMVCgVefvll8Pl8bN++HU5OTnrHdEZVVa3OipIN5eXI/HIDAIDvIIXz/IWouG81yKxSdlEnd2s3FOWyE7DsrQWQyQw7gbYneDwuJBKxXv0siaXX0VzqFzXJGycOJkNWpsD5U6kIifLs1Os6VT8XD4hGBqAuKRmhd2qxddBxPBI4CiIr8wirTXXsS6YQR5uUxtwAwGbwqqpVA7W6MTJPxuam5jewKSTtbawgN7G8/+byf9hdVD/z11Edw8YN1vbCC8o9UJ9/GTdTJ8PTxb6Vs5keY8TRJuZxpzEBYrEYs2fPxpo1a/Dxxx+jqKgIW7duxbp16wCwvUgSiQRCoRCbNm1Cbm4utm/fDo1Gg5KSEu05bG1tO31NtVoDlYr9g2c0GuRt/AbqmhqAw4H7y68AYhvt/ib35GwGmgHWrkioZG82DnZCveNMQcv6WSpLr6Op18/H1wWuA+xQXFCNaxeyMCzAFSJx54eTdVQ/l0efQG5SMoQNDILys7HzwhUsnES98G0xdhzVbpPLUZfFZiiyDhilt59hmOYx8PXs00tTjaOA6f8f9hTVz/y1VcfhI91w/UIW5NVKdiz8naP41vEo/vnon4xQSvNiuQOvesGKFSswcuRILFiwAGvXrsWyZcu0E6omTpyozU984sQJ1NfXY+7cuZg4caL266OPPur2tcuP/oraVHbVVceHZ8Laz1/vGKVaibLacgCAm40bKuT17PE08arfun79Ko4fP4rffjuCDRv+C5WqZ9lSFAoFVq36O4qKCjs+2ARwOByMbVzcqb5OhRuXDbu4k3j4cFj5jgAAhKUokFD6O8qqDJt73tIYM442USQnAY0Tm21ayf9epZSjTs3GT5WiMQc8xdF+q7/H0d7E43ERPmEIAKBGKIVI7gEr2TUkZOUbt2BmgHrgu0AkEmHdunXa3qKWWq4OaOgFm2oz0lF26CBbBh8fODVmwLhfoaJYm4HGgecElZpd0IlywBuGok6FgvLODUXi87iwq6pHdXUdVD14NDrA0QbWou79m8bEXIOn52BERkYBAJYv/yuysjIwfLhvB69s3ZEjh1BUVIhz587gzTf183ObKg9PB3iPcEZWaikSY+9hZJgH7KXWBju/2+w5yP2/jyBSMhiTWYCtl0/j7YdmGuz8lsZYcbSlmiQ2/zvP3h5Wg/SHVZW0SCGpqGQb7pQD3jAojppnHO1NvqPcceNSDqqr6pHlGIKJCUex0/ZXBA75M7gt5vgRXdSAN3FqhQIFmzcCGg24IhHc//yq3nLfTQrkRdrvRRoHAOzPlLu45xR1Kvz9m8tQ1Pdtvm9rIR+fvDauyzef0tJSCIVCuLu7AwCys7NQWVkBH59h3S7LzJnsAkZbt27u9jmMZcyDPshJL4NGw+DSqXQ8/HSgzuTvnhAPHw6bsHDU3IhFUGotEgZfRGbBOPgM6PqES9L7GIZBTWP+d5uAUa3+HRQrSrTfV8vYVHfUA99zFEfNO472Fh6Pi/DxQ3D22B3UCKVQVQzBkOJbOJWQgukh+qMNCIsa8CaMYRgU79wOVSnbG+Q6fwGsXNpOhVdQwzbYxXwx6hXN43xp+e/+JzExHtHRU7Fr13aUlpbgxIlj2LJlB3g8NoNGVVUVdu/e0W5+dKFQiEWL/txXRe5VDo7WCIochPirucjJKEd2ehm8hzsb7Pwuc/4EeUIceGoNJiaX4XvRUax97FmDfUgghqPMvwd1BZthxnrkyFaPaRr/LuaJUdvAxlJaDK//oTjad3wD3ZBwPReyUgXSncIw+tZB7HY+ggdHjoCVwPQyP5kCasCbsMpLF1HduEy73dhxkIwZ1+7xBTWNE1ht3FAhb861TD3wPWctYntwuvTo105ktEe/TQ1HJydnqNVquLkNwL59e7B06ZsAAIlEgsWL/9LtcpmjiPGDkZZchJpqJS6dTMOgIVIIDHRjsHJxhePUGZAdP4aheUrEDbuBa2kTETXCq+MXkz5VcytR+711gP74d6B5FVYHgSPKG7fRUMSeozhK2sLlcjFh6jAc/vEmGvhiFFsHIuxuMn68ehULJrTf9umvqAFvomrz81GwYzsAQODiCrfnnu/wNU098ANs3FBewGagsbMWmGTeYnNkLeJjqEfnUlvx+VxIpTaQyWr6PLuAQlEDBwd2+MaMGY8AAGxsbBEff6NPy2FqBFZ8jJ8yDCcOJqO6qh5xV+5i9APeBju/48zHILt4DqhR4IGESuy1PoKIYYvB41KuAFOiaBz/LvQaDH4rueeB5iE01hxazdrQKI6Stgwa4oghw52QnVaGXAd/RKTfwU8eJyCTh0FqSx+g70cNeBOV+p/PwdTXAzweBrzyKrii9vOM1qnqUVYnA8A24NOq2QwK1Pve/8THxyEiYrTOttTUFJ1tVVWV2L17Z7979Ovj64JBQ6TIy5Yh7updjBjlBgdHw0xo5Vlbw3X20yj+YTtcZSp4l97GkRtJmBWhn+OcGIemvl6bzctmVOvvi4bRoKSWXRBPoGYb+BywaSRJ/0Fx1DjGTR6Kuxnl0Gh4yHKMxPjUS9gqPY2/Tn/E2EUzOdSAN1Hy9AwAgPPsJyHy9unw+CJFsfb7ATZuuFpVBYAe+/ZHt28nwcNjIIYMYXuXMzMzUFxchHffXaU9RiKx79Gj3/ZuWKaMw+FgwrTh2PvddWjUDC6eTMPMuUEGG6tu/8AklP1+HOrCIoy/Kcd2x6OYFugPsZBCrSmoTbsDpjEFoPXI1ofPyOoqodI0TrJUsh/uJDZW4FvwcvdEH8VR47CXNs9XKrXxQkh+CuJLziG7eByGuDoYu3gmhSKSCbMJCIB0xsOdOjZf3pxP1sPWHeVNPfA08arfGTp0GGJiruLw4YM4dOgALl++gHXrPu1xI/XUqeNYv34dOBwOvv76S+zatctAJe5bUidrBDeuyJqbJUPmndIOXtF5HB4P7s88BwCwqdMgLC8HO69cMtj5Sc/U3GKHz3CEIoiHtp5JpGUKyQZ5Yw54iqP9DsVR4wkfNxhiMdvpkeo8GhMTZfj+jyNGLpXpoW4hE2Xt5QmPPy8Gp5PjZ5vGv9sIrGHDt4GsmhZx6o8qKipgZyfBgw9OMfi5p06dgalTZ+Dtt5frjE01R+FjByMtqQjyqnpc+j0dXj6OEFgZZq6IzaggiAICUJecjLDbCvzP4zRKKyPhbG+43POke5rGv1v7+7eZjrdlCsmaKisAtZDSk8x+heKocVkJ+RgTPRRnjt6BwsoBmkofSEuu43rGA4gcqr9uQ39FPfAmKuSLzyCQdj6PdMsJrPJaFdQa9tEcDaHpXxISbiCgjcwapJnAiofxU9ge2JrqesQaeIVWtz89B4bDgUANjE8txJbLJw16ftJ1DeVlUBawqzvatDF8BmjOQGNvZYfKKnbiJHWE9C8UR43PN9Adzm42AIBMx1BEJdbjp/jD0Gho2FETasCbqK4+pmtuwLujvKpOu50e/fYvcrkcYnH7E54Jy3uEM7x8HAEACddyISszXC+YcOBA2D8wCQDgn12PetklpOYbbqgO6TpF4/AZALAe2fbE4qYc8C5iF1RUs+l4aRXW/oXiqPFxOBxMnDYCAKDiCVEqCoJffhKOxt/q4JX9BzXgLUCtqg6yenZhkgE2btrhMwBloelvmlb5Ix1jJ7QOA4/HgUbD4MKJNINOKnN+/EkwQnYVz0mJMmy7/itNWjOiptVXBS6usHJte0G8piE09gIpNI3vF8XR/oXiqGlwH2SPYf7s/+o9e18EpFrhXPoR1CvVRi6ZaaAGvAVo6n0HGnPAt+iBpxsPIW2zl1ojZAy72NK9nApkpJR08IrO40skcH70cQCAR0kDXMricelOtsHOTzqPUauhuJ0MALAe1fbQCLVGrU3Hq5MDnp5kEmIUY6N9wONxAA4X2dJIjM7Mwa4/Lhu7WCaBGvAWoGkFVkC3B54WcSKkY2FjvGBnzw6RuPx7OpT1KoOdWzp1GuDIzmWZkFCFA0m/9mhFSdI9ddlZ0CgUAACbdobPlNaVQ8Ow7w9fZafdTnOJCDEOW4kIYWMHAwBk1h5wL3BB5r3jKK+uNXLJjI8a8BagqQfeTmALOytbbQpJuukQ0jG+gIcJ0xontMqViLmUbbBzcwVWGDB3HgDAvkaDgPwU/BKbYLDzk85pyj4DHg/Wfn5tHleiaDFPoZ6dQMcBYG9r1YulI4S0JzjKE7a2AgBAhnMExieX4rvLJ4xcKuOjBrwFKJA3Z6ABAFnjEBoaPkNI5wwZ5ozBw5wAADev56GsWG6wc9uGR4Lvwy4GMzpZgSs5x1BT22Cw85OO1TQ24MVDh7W7qnXT+HcOOFDWsPHT3pYWcSLEmAQCHsZOGQ4AqBVIwK0dDk3BBWQUlBu5ZMZFUckCaDPQ2LINeG0PPI3bJKTTJkwdBh6fC4YBzv6WarAJpxwOBx7zngcACBsYjMnMxfYr5w1ybtIxdU0N6jLZla1tRrU9fAYAimvLAACOIgdUVLFDqSgHPCHGN9TPBe4D2WFt2Y5BGJtUh63XDhm5VMZFDXgzp2hQoFJZBYDtgdcwjHYMPPXAE9J5EgcxwsayE1rz71bg1o17Bju3yNsHNlFRAIBR6bW4V3Qa+eXVBjs/aVtNchLQ+GHMup3870BzD7yrtUvzYnjUEUKI0bFZw9i0kmquAOWCYAzKv4FLKVlGLpnxUAPezOXrZKBxR3WNsnkRJ8pdTEiXhER5wl7KDrE4cTgZ9XWGm9Dq+tRcaPg8cBnggeQSfH3hEKWV7APyRDZ9JM/ODkJPr3aPbc4B70xziQgxMS7udvALcgcAFEiGY1SqFfbf+hm1Bkw8YE6oAW/m9FJItsgBT6sHEtI1fH6LCa3V9bj0e7rBzi1wdILTQ48AAIYUKCGVXcex+GSDnZ/oYxgG8ltsA946YBQ43LZveUp1g3Y9DRexEyrk9CSTEFMTNckHAj670OVdyWiMSc/AlvO/G7lUxkENeDPX1IC3t7KDjcAa5VUtFnGiHnhCuszLxwnD/F0AAElx+Ui/XWywczs9NBNwYPOLT46pwqmMX7QNRWJ4tXn3oCpnJ7rZtJP/HQBKapsz0Fhz7JtG3dAQGkJMiLWNFSImskkBKsWucCkaiMrC35GUW9TBKy0PNeDNnHYCqw37WElW3WIRJ1u68RDSHQ8+7AeJA/sB+OyxO6iUGSbnMFckwsAXXgIA2NRpMCHtLr4+f9Qg5yb6KuLitd9bB3TQgG+RQpLfINF+T0MRCTEtgRGDYO/Atm/SnCMxKV6Bbdf29bs1NqgB3w319fV47733EBkZiQkTJmDr1q0dviYmJgZTp041aDkYhkG+vABAcwrJpiE0EmsBBHx6e/u769ev4vjxo/jttyPYsOG/UKkMM1bwv//9FDExMQY5lykSWwvw1PxwcDgcNCjVOHEwCWqVYW4ONoFBsIkaAwAYlVEHTtlFXO6HK7T2RRyVNTbghZ5e4Nvbt3ts0/h3LocLVV1z5wcNRSQUR00Lj8fF5EcDAAAqnhCF1qMRnJ2EH678YeSS9S2+sQtgjj755BMkJydj+/btuHfvHt599114eHhgxowZrR5/584dvPHGGxCJDNuTkycvgLyhBgAwxJ6dnNWcgYZ6jQytVlWLwpqSTh3L53FQqhGjuqoWKnX3Jyq627hAzG87b3V7YmKuwdNzMCIj2ewny5f/FVlZGRg+3Lfb5QGAuLhYHD9+DDNnPtSj85g6T29HjI32weXTGSgtkuPKmQxMmDbcIOd2f+Y5pCfeBEehwJRYGXZb70fokGUQC/tPSO6LOFp1KwlAx9lnAKC4tmkCqxMqqtk8/RwOLeJkaBRHWf0ljvYW90H2CIwYiMSYeyi18YJ/XjbODPgVuSUj4enS/od1S9F/7hYGolAosG/fPmzZsgX+/v7w9/fHyy+/jJ07d7Z64/nxxx/xySefwNPTE3K54RaHAYDkshQA7KIj/o5seqXyxkWcaNymYdWqavGPy+tQq+rb5ZvFfDHWjlve5ZtPaWkphEIh3N3ZoVXZ2VmorKyAj8+wHpVHLpcjIyMNQ4Z49+g85iJsrBfysmW4m1mOxNh78PBygI+vS4/Py7Ozw4D5C1D47UY4yDUYnZWGzedPY9m06QYotenrqziqUSoBdJz/HWiZQtIZ5cVsHHWwFYLXzsRX0jUUR1n9LY72lqhJPshJLUFVlRJpzqPxYPyv+Eb8Mz6cvQhcDsfYxet11IDvopSUFKhUKoSGhmq3hYWFYePGja0ef+HCBXzyySeorq7Gl19+adCyJDU24L3tvWAjsAYAygFPAACJifGIjp6KXbu2o7S0BCdOHMOWLTvA4/EAAFVVVdi9e0e7aQyFQiEWLfqzzrZDhw5gzpxncP782d4svsngcDiY/Kgffvo+BjVyJc4cTYGzmy0kDt3rzWvJLjIKFVcuoS4xEaF3arHH4xRu3Q3GKC83A5TctPVlHOUIhRAP6/jJScsUkoXaFJIUR/sziqOmTSDgIfrRAPyyKx4qnghlVhEYmheDw7FheDwixNjF63XUgO+ikpISSKVS8PnNvzpnZ2fU19dDJpNBKpXqHL9hwwYAwP79+w1aDkVDLbKq7gIAAhz9AEBnESeaeGVYTT04XXn0aycx3qNfTmPvg5OTM9RqNdzcBmDfvj1YuvRNAIBEIsHixX/p0jkvXjyPsWPHQyAQdLk85kxsbYWpswJwaHc8lPVqnPwlGbPnh4LH61nPLIfDwYDnFyFj1XJwlUpMu1GGbaJ9WDfwNfB7eG5T15dx1MbPHxx++7e6WlUtqhvYnn1XaxckN2bzokxehkVxtP/G0d7i4eWAkaEeSIrLR4ntEARkZuGEywFM9PWFo13PO1pMGTXgu6i2thZWVrpjIpt+VjY+ru0LKbI0aBh2Ut1IJ3YsXstFnKie3I5DAAAgAElEQVQH3vDEfDG87dtfCKYJn8+FVGoDGbcGKgNNfuwshaIGDg5sA2jGDDbvuI2NLeLjb3T7nKWlJZDLq+Ht7aPd1p8WIfLwckDkRG9cO5+F4oJq/HE2E+On9OwxOgAIHB3hPvcZFO/cDucKNQJzk7Hz8hUsnDjeAKU2XX0ZR22Dgzs8prhFBhpXsTNk1YUAqAe+N1Ac7b9xtLeMjfZBTmox5DUqpDmNwaTEI/jK9hBWP/onYxetV1EDvouEQqHeDabpZ7HYsJ/22uvhSy5nh89IrOwwRDoIXA4XlYrmcrk4iME30Sw0TfXqaQ+mKTNmHRMT4xEZGaXz/qel3cHo0c3bKisrsWvXdrR37xAKhXjppVcAADExV1FeXoZdu7YDAHJzc/Drr79i3LgqREWN7b3KGElr79/oiUNQkFuB3CwZbl7Pg6e3FD4jej4e3mnyZFRcvQxlWjoik2qwy+0o8ssD4eXq0ONzt8eY/399FUc9n5kL++hoaDjt17Wsvlz7vauNMyrl7NNNZweRycZRwPJjKcVR89cX7yGfb4Upj4/CL7vi0cAXQ44wOOddxsU7EXhwpGESD7TFmP971IDvIjc3N8hkMmg0GnAbJzeVlJRAJBJBIpF08OqukUhav5FpGA1ul6cCAEI9RsLJ0Q4AoMyr1B7j7SmFVGpj0PIYWlv1syTGqGNmZir8/Ydj6NChAIC0tDTIZKVYuHC+9pGwVGqD995b3ulzPv/8PJ2ff/nlZzz22GOIjIw0XMFN0P3v35wXIvHtf85BXl2P3w+nYOhfXeHgaN3j64jfegOxy94EX6XG1PgibLDej42LloLLtcyJWH0VR73mda4HruoeuwKrFU8AiViKpvaY5wB7k4+jgOXHUoqj5q+330NpuA3uppci7loeiux8EJCajV+lezEtbA1srS0zkxQ14LvI398ffD4fcXFxCA8PBwDExsYiMLDjLAddVVVVC3UrCxPcrbqHiroqAMBwyTDIZGwqybv5zQ14rkaj3W5qeDwuJBJxm/WzBMas48CBQ3Dq1FlcuHAFDMOgqqoKH3+8HhUVih6fu7i4GHv27EJpaSm+//57lJZWYMyYcQYotWlp7/2b9ngADv4Qh7raBuzddh1PLgjreS+MtT1cZz+Fkn174VGqgldeLLaeuIQno0I7fm03NdXRGEwhjraUU86up+EqdkbOveY4KuRyTDaOApYfSymOmr++fA8jH/BBamIBamrVyHAciwnJR/DxgZ/xziOzeu2axoyj1IDvIrFYjNmzZ2PNmjX4+OOPUVRUhK1bt2LdunUA2F4kiUQCobDnYyfVak2r4/5uFicDYNNH+toP0x5TWsmmPpNYC8AB+nzMYFe1VT9L0td1rKiogI2NLR54IFpvnyHK4ejojNdeW4bXX3+THZsq6/uxqX2ptffPfZA9wscPQczFbBTeq8Ll0xkYGz20x9dymDYDZX9cgibvHsbflGOn8wGMHz4CThbYu2oKcbSJhtEgQ5YFgJ3AWtJi1V17Gyuz+Pu29FhKcdT89cV7yONz8eBjATiyNxFKvhgNihDg7u+ISQtFiPfAXr22MVjmwLletmLFCowcORILFizA2rVrsWzZMu3qgBMnTsSxY8f0XsPhcLSP3XoqqewOAMDbfjCsBc2P75tywFPmhP4rIeEGAjpYMp70XPi4wRg4mB2jHn81FznpZT0+J4fHw6AXXwHD4cBKxWByYj6+OvdLj89rqowdR5tkVuagrE4GAAhyHonyajaOcjkc2NtY5qN30j6Ko+bLy8cJIwLYuUmFkmEISbHB7pi9aLDAD0jUgO8GkUiEdevWIS4uDufOncOCBQu0+1JSUjB79my91zzxxBP4/fffe3ztmgYFsipzAAAjnfx09skod3G/J5fLDT6ZmujjcjmY+pg/xNZsKrjTR25D3vgBuidEXoMhnfEwAGBIgRKOBVdwNimtx+c1RcaMoy1dLYgFAAh5Vgh2GQlZYwpJBzsri52DQNpHcdS8TZg+AmIh27zNchiLqNRM/O/SeSOXyvCoAW9mUspTwTROsWpKH9mkvKqpAU898P3VzJm9N9aP6LK2FWLqLH8AQF2tCicP3YZG0/NeHudZswFnJwDAA/FVOJK0DzW1fZeitj9Rqhtwo/gmACDUNQhWPCuUV1Mc7e8ojpo3oUiASY8GAADq+Tbg1gSiLPMIsgrLO3ileaEGvJlpGj4jsbLDIFsP7XYNw6BC3rT4CPXAE9IXBg1xRPi4wQCAwrxKxFzM6fE5uVZWGPQim3ZOrGQwKSUbX545Svmie0FiaRLq1OyTkyh3djKtrHEIDa2lQYj58h7ujGEjHAEABZIRiEi2wsZLP1rUUBpqwJsRDaNBcmMDPsDJV2csaFWLRZxoCA0hfSdiwmC4D7IHAMRezsG9HFmPz2k9whd2D0wCAIy4Ww9B0Vn8Fn+7x+cluq4VsovySIUOGObgDaDFk0zqCCHErE182B+ixgVv70rGIjztNr49Z9gheMZEDXgzkledr13uu63x7wD1HBHSl7hcLqbN8odQxCb1+v3wbdQqej7kxXXOM4A9mxN92vVKnE3bg7zSqh6fl7CqlNVIblxPI8o9DFwOFyq1BlU17HsnpSE0hJg1kViAB2ayQ2nqBLawqgpEXc4xXL6TZeSSGQY14M1I0/AZLocLP6nu6mLlLSbQOVIWGkL6lK1EhOhH2DkpNXIlzhxJ6fGQF55YjEGvLAHD4UCkZPDwjXz89/xui3oEbEwxRfHQMOzvcrR7GACgorpeu4gTPckkxPwN9XOFzzApAHYoTXCyFIfid6K8uraDV5o+asCbkaSyFACAt2QwrAW6M+TLW/TAO9jSjYeQvuY9wgWjwthcwzkZ5bgZk9fjc1r7+sHx0ccAAB6lDQjOScC35073+LwEuNaYfWawxBNuNq4AdOModYQQYhkefDQAttY8AECm4xhEJ8jw6e97oDHzeUXUgDcTNQ0KZFfdBaCffQaANvWZxMYKAj69rYQYw9jJPnBytQEA/HEmEyWF1T0+p/NjsyEYPgwAEJmkQNW9Y7hiIY+AjeWevAC58nwAzZNXAWhzwAM0FJEQSyEUCTBjTjA4YKDmClAknAjfjFj8cPkPYxetR6ilZyZut0gfGXDf+Heg+cZDNx1CjIfP52Ha4yPBF3Ch0TA4cTAJynpVj87J4XIx6M9LoLEWgwPgoWsy7E/YZRGPgI2lafIqj8NDuGuwdntTRwiPS4s4EWJJXAdIMG4K2xFSI5TCrjQQeekHcCu30Mgl6z5qwJuJpuEz9lZ2GGQ7QG9/OS3iRIhJkDpZY+I0do5KVUUdzp9I7fF4eIGjIwa9tBgAYFOnwbTEHHx6ep/ZPwI2Bg2jwfXCOADAKCc/2FrZaPc1ZaBxsBXSIk6EWJjAiEEYPIRNDFBgPwLhSXbYcWU7amobjFyy7qEGvBnQTR/p1+pS4jJaxIkQk+Eb6I7hI9lx1WlJxbhzq6jH57QNDoH9lGkA2FVave9exa7LV3t83v7mjiwdlUo2m8/oAeE6+7RPMimFJCEWh8PhYMrsQNiI2aZvtsMYTLxVjM9PHzTLdTaoAW8GcqvvQd5QA0A/fSQAaDTNizhR7mJCjI/D4eCB6SMgcWA/UF84kQpZmaLH53V5ei64noMAAONuypGZdQBJZvwI2BiuFrDDZ6z5Yr14Sk8yCbFs7Hj4EO14+HLeeLhlXMSvcYnGLlqX8Y1dANKxpuEzXA4Xfo7D9PZXKZoXcaIx8KSl69evory8DAzDICMjHYsX/wV8fvf/7Q8fPgiZrBzu7u6wsuJi6tRHDFhay2Il5GPa4wE4sCMOqgYNTv6ShCcXhIHP53X7nFyBAF6vvo7M91eBp2zAw9dLsFW0E+87vwEbscCApbdMdao6JJSwN+pwtxAIuLr/C7LGdLz0JJO0RHHUsrh5SDA22geXz2ShRijFgMKRiEv6EUGDPDHYVWrs4nUaNeDNQNPwGR/7wRDzxXr7m8ZtApT6rDepFQooCws6dSyPxwXfTgRFdR3U6u7n7bZyHwCetXW3XhsTcw2enoMRGRkFAFi+/K/IysrA8OH6WYw64+DBn1FYWIBXX12K/PxcvPTSArrxdMB1gARjHvTB5dMZKCuuwR9nMjFh2vCOX9gOKzc3eLzwIgo3b4J9jQbRSWn4r/gwVjzyRKvD60iz+JJbUGrY8a5RjbnfmzSoNKhSsPtoCE3voThKcdQUBI32wr2MEuTclaNAMgKjbxVho3gnPpj9F7PJ5EcNeBMnV9YguyoXQOvDZwBARqnPep1aoUDW8rehUfR8GERXcK2t4b1ufZdvPqWlpRAKhXB3dwcAZGdnobKyAj4++k9wOkOpVOLbb7/G1q0/AAC8vAbj0KFD3TpXfxMUOQh5OTLczShHYuw9DBwshfcI5x6dUxI1FtXJt1Bz6RKG59bjrttZHI0bjplhgQYqtWW62ph9xlXsjCESL519MnmLjhDqge8VFEcpjpoKDoeDKU8GY8/GS6ipA+7aj8Ho5OPYaH8Cr097yNjF6xRqwJu4lukj22rAt+yBpwY8AYDExHhER0/Frl3bUVpaghMnjmHLlh3g8djhG1VVVdi9e0e7E3eEQiEWLfozAODWrZuorq5Cbu5d3Lp1E5mZ6Zg58yF4edn3SX3MGYfDweSZftj7fQwUciXOHE2Bi3sEbHv4tGzAswuQnnoHKCnFpLgq7JbsQaCnJ7xcHAxUcssiq6tAmiwDADDaPVzvaYVMZzVriqOE4qilE4oEmDE3DAe2x0LNFUDOjAMv7Tgueg7HBL+hxi5eh6gBb+KSGofPOAjt4WHj3uoxsurmRZz4PPN49GNueI09OF159CuxE6HKSI9+mxonTk7OUKvVcHMbgH379mDp0jcBABKJBIsX/6XT5ystLQUACARWmDJlOh54YBKeeeZJ7Nq1D0Kh/rAuoktsbYWpj/nj0O4E1NepcPLQbcyaFwxeD/5fuUIhBi95A1kf/hN8tQaPxBRgg/AHfPj4a2bzCLgvXS+M03aGjHYP1duvswordYT0CoqjFEdNjZuHBGMmeePKuWzIhY7wyPPDidgd8Bvwdzjbd2/YVV+hBrwJ0zAa3C5vTB/p6Nvm+Nam1Gd00+ldPGtriH0696mcz+fCTmoDlawGKlX3bzzdoVDUwMGBnYgzYwY7ttLGxhbx8Te6fU5bW1sAgL9/AABALBZDo9EgISEeo0eP7WGJ+4eBg6UIHzcYsZdzUJhXiVOHkjHt8QBwud1vbAs9PeH2zHyU/LAdTlVqRKUmYtvls/jzA5MNV3ALwDAMrhbGAgCGOXjDSeyod0x5Yw88j8uBHS3i1GsojlIcNTXBYwbjXkYx7uYpUCDxRdStEnxttxerZy00dtHaRQ14E5ZTldcifWTbE2aaeo5o+AwBgPj4OEREjNbZlpqaorOtqqoSu3fv7PSj3xEj2A+QGk3zTZTD4YBh+vamau4iJgxGSVE17maUI/NOKU7/moLJj/r3aNEghwejUZ18E3Vx8RiVUYdzbpcBasDruFudh0JFMQAgyj281WNkLeIolyYD93sUR/sPDoeDqU+H4sevL0Kh5OCeXRRGJJ8BZhm7ZO2jBrwJu1XanD7S17HtzBXa1GeUgYYAuH07CR4eAzFkiDcAIDMzA8XFRXj33VXaYyQS+y49+nV2dkFISBgSE+MRGTkGMpkMHA4H4eGRBi+/JeNyuZjxxEgc/SkR93IqkJZcDB6PiwcfafsJW0c4HA4GLvozMrJXArIKPCCnD/L3a5q8KuDyEera+kTf8irKAU+aURztX4QiAWb8KQwHd7Dj4dGgP8zO1FAD3oTdKrkNABhqPwRifuuNc3YRJyUAuvEQ1tChwxATcxWJiQlgGAZVVZVYt+7THqcYXLlyDb7//ltkZWWioCAfmzZtgkgk6vNH2+aOz+fh4acCcWTvTRTkVSIlsRA8PhcTpw/v9nvEs7bBkL8tR8XpU7Cf+ICBS2zeVBoVYoviAQBBziNbTcULtFyFlTpCCMXR/sh9oD3GRQ/FpTOZEA0aZOzidIga8Caqqq4aOVV5ANrOPgMAlTUtFnGizAn9XkVFBezsJHjwwSkGP7ebmztWrFgNgB2bKpXaQCarMfh1+gOBFQ+PzAnE4T0JKM6vRlJcPnh8LsZNHtrtBoKVuztcn51v4JKav6TSO9qhiFEDWh8+AzQPoaGOEEJxtP8KihoMbz83WJvBPBhKVWCiEgpvd5g+Emi+6QCUu5gACQk3EBAwytjFIJ1gJeTj0blBcHZjJ7bdvJ6Ha+ezjFwqy/NHfgwAwM7KFn7S1ociNqjUqG5cxImGIhKKo/2bnb0IPDPI5GX6JTQh9fX1eO+99xAZGYkJEyZg69atbR6bnJyMOXPmICQkBE8//TSSkpK6dK24glsA2PSRA2zc2jyuvGXuYuo56vfkcjnEYkpHZi6EIgEeeyYYji42AIAbV+4i9lK2cQvVy/oyjsqVNbhZkgwAiHQLBY/La/W4lh0hlAyAUBwl5oAa8F3wySefIDk5Gdu3b8eaNWvw1Vdf4fjx43rHKRQKvPLKK4iMjMT+/fsRGhqKxYsXo7a2ttPXSihkbzojndqf3NZ04+EAcKAbT783c6aJT5snekRithHv4Mg2GK5dyEb81btGLlXv6cs4euXuDagYNQB28aa2tFwMjxZxIhRHiTmgBnwnKRQK7Nu3DytXroS/vz+mTp2Kl19+GTt37tQ79ujRoxCLxfj73/8OHx8frFy5EjY2Nvjtt986fb1qZVP6yLaHzwDNE69oESdCzJe1jRUemxcCiQM7fOPKmUwkxuYZuVSG19dx9Hz2HwAADxt3DLId0OZxTXEUAKQ0FJEQYgaoxddJKSkpUKlUCA1tTi0UFhaGmzdv6h2bkJCA8HDd3p6wsDDExcV16Zo8Dg++0mHtHiOjHPCEWARbOyFmzQuBbWMP8MWT6UhOyDdyqQyrr+PonbJMAOzk1c48yeTzOLCzFnT6/IQQYizUgO+kkpISSKVS8PnNiXucnZ1RX18PmUymd6yrq6vONkdHRxQVFXXpmj72gwENH3VKVZtfZZWUA54QS2FnL8KsecGwsWUzIJw7loqUxEI0KFWd+lKp1EauQfuMEUc54CBQGthuHC2paEwhSYs4EULMBKWR7KTa2lpYWemmFWr6WalU6myvq6tr9dj7j+tI8k0Blpw436ljnexF4JvBrGkA4DUO9eFZ8JAfS68j1a/3OLnYYvb8UOzfcQO1NQ04cyQFZ4507rVcLgcTpw9HUETHOYyNUTdjxFFVhRNWbIjv1LGOEvOJowD9H5o7S68fYPl1NGa9qAHfSUKhUO/G0fTz/bPVhUIh6uvr9Y4ViTrfS85ouFDL2s4+c7/A4S6QSm06fbwpkEgsf5a/pdeR6tc7pFIbLHhtHLZ/fRm1jekNO0OjYVBZXmuysaCv4ygAqIo9O31sgI+zyf7u2kP/h+bN0usH9I869jVqwHeSm5sbZDIZNBoNuFz2E1dJSQlEIhEkEonesaWlpTrbSktL9R4Ht+epQQth7SGFRtPx6mwOtkIEDpGazWIQPB4XEokYVVW1UKstc/U5S68j1a/3WYl4eHZxFHIyysA0LtbWEb6AhyHDnToVC5rq2Jf6Oo7OGjAfEne3TsVRsZCPkGHOZhNHAdP4O+1NVD/zZ+l1NEYcbUIN+E7y9/cHn89HXFycdmJVbGwsAgMD9Y4NDg7Gt99+q/2ZYRjcuHEDS5Ys6fT1npkYCZmsptPLK2s0DDSdvMmbCrVaY/HLR1t6Hal+vctKyMfwgM4/iWtiqu9JX8fR+Q+M71IcBUz3d9ceY/+d9jaqn/nrD3Xsa5Y5KKkXiMVizJ49G2vWrEFiYiJOnTqFrVu34oUXXgDA9iI1Pe6dMWMGqqur8dFHHyE9PR0fffQR6urq8PDDDxuzCoQQYlQURwkhxDCoAd8FK1aswMiRI7FgwQKsXbsWy5Ytw9SpUwEAEydOxLFjxwAAtra22LhxI2JjY/HUU08hMTERmzdv7vLYTUIIsTQURwkhpOc4DMOY17iLfqSrj37NBZ/PhVRqY7H1Ayy/jlQ/89dUR0vXH95DS60j1c/8WXodjRlHqQeeENIlSqUSzz47B9euXdNuKykpxqpVf8cjj0zBE088gi+//KzL6f4IIaS/oDhKeoomsRJCOq2+vh7vv78KWVmZ2pUtGYbBqlXvwt7eHl9/vQWVlZX4178+AI/HxZIlbxi5xIQQYloojhJDoAY8IRbs+vWrKC8vA8MwyMhIx+LFf9FZBbMrsrIy8f77q/S2372bg+TkWzh06ASkUikA4OWXF2PDhv/SjYcQYvYojhJTRA14Qjqpvk6FinJFp47l8TioqVKiuroWanX3p5k4OFpDKOrev2lMzDV4eg5GZGQUAGD58r8iKysDw4f7dut8CQk3EB4eiVdeeQ1Tp07Ubndycsann36pvekAbG+SXC7v1nUIIZaL4ijFUWIY1IAnpBPq61TY+c0fUNar+vS6VkI+5r82pss3n9LSUgiFQri7uwMAsrOzUFlZAR+fYd0uy+zZT7e63dbWFpGRY7Q/azQa7N+/FxERo7t9LUKI5aE4SnGUGA414AmxQImJ8YiOnopdu7ajtLQEJ04cw5YtO8Dj8QAAVVVV2L17B9pLQiUUCrFo0Z+7fO2vv/4CaWmp2Lx5e7fLTwghxkZxlJgyasAT0glCEduD05VHv3Z2YqM9+m2aGOXk5Ay1Wg03twHYt28Pli59EwAgkUiwePFful2utnz99Rf46afd+OCDdfD29jH4+Qkh5oviaOdQHCWdQQ14QjpJKOLDzUPSqWObc99a9XnuW4WiBg4O7DjKGTMeAQDY2NgiPv5Gr173s88+wcGDP2P16g8xaVJ0r16LEGKeKI62j+Io6SxqwBNiYeLj4/TGTaampuhsq6qqxO7dOw326Pf777/FL7/sxwcf/AuTJk3uXsEJIcREUBwlpo4a8IRYmNu3k+DhMRBDhngDADIzM1BcXIR3321OXSaR2Bvs0W92dhb+97/vsGDBiwgMDEZZWal2n5OTs0GuQQghfYniKDF11IAnxMIMHToMMTFXkZiYAIZhUFVViXXrPtWO5zS0CxfOQaPRYNu2Ldi2bYt2O4fDwfnz19p5JSGEmCaKo8TUcZj2nv0Qo5LJavp83F9faB7XaJn1A4xXx4qKCmRkpCE8PLJXr2Pp76Gl1w9orqOl6w/voaXWkeKo+bP0OhozjnKNclVCSK9ISLiBgIBRxi4GIYSYLYqjxBxQA54QCyKXyyEWi41dDEIIMVsUR4k5oAY8IRZk5sxZxi4CIYSYNYqjxBxQA54QQgghhBAzQg14QgghhBBCzAg14AkhhBBCCDEj1IAnhBBCCCHEjFADnhBCCCGEEDNCDXhCCCGEEELMCDXgu2H9+vUYO3YsoqKi8O9//xudWcw2JycHwcHBfVA6QggxfRRHCSGk+/jGLoC5+f7773HkyBFs2LABDQ0NeOedd+Dk5IQXX3yxzdcUFBRg8eLFUCqVfVhSQggxTRRHCSGkZ6gHvou2b9+ON954A2FhYYiKisLbb7+NnTt3tnn8qVOn8NRTT0EoFPZhKQkhxHRRHCWEkJ6hBnwXFBUVobCwEBEREdptYWFhyM/PR2lpaauvOXfuHN58802sXLmyU4+ICSHEklEcJYSQnqMhNF1QUlICAHB1ddVuc3Z2BgAUFhZqv29p7dq1AICrV6/2QQkJIcS0URwlhJCeowb8ferr61FYWNjqPoVCAQCwsrLSbmv6nsZlEkIIi+IoIYT0LmrA3yc+Ph4vvPCC3nYOh4O3334bAHuTuf+GIxaLDV4WHs8yRzg11ctS6wdYfh2pfuavN+tGcbRvWPrfKdXP/Fl6HY1ZL2rA3ycqKgopKSmt7isuLsa///1vlJaWwsPDA0Dz42AXFxeDl0UiMfzNzJRYev0Ay68j1Y+0huJo37L0OlL9zF9/qGNfs8yPRL3E1dUVHh4eiImJ0W6LjY2Fh4dHq+M2CSGE6KI4SgghPUc98F30zDPPYP369XB3dwfDMPj00091cheXl5dDJBLB2traiKUkhBDTRXGUEEJ6hhrwXfTyyy+jvLwcS5cuBY/Hw5w5c7Bw4ULt/qeffhpPPvkkli5dqvdaDofThyUlhBDTRHGUEEJ6hsNQUl1CCCGEEELMBo2BJ4QQQgghxIxQA54QQgghhBAzQg14QgghhBBCzAg14AkhhBBCCDEj1IAnhBBCCCHEjFAD3kTExMRg6tSp7R5TWVkJPz8/na+xY8f2UQn15eTk4KWXXkJoaCiio6Px3XffafcVFBTglVdeQUhICKZNm4ajR4/qvHbWrFl6dUlPT9e7xtWrV/WOa/oqLCzstbrt37+/1Wv6+/sDAC5cuIBZs2YhODgYjz/+OM6fP6/z+p9//hkPPfQQQkNDMXfuXNy4caPNa9XU1GDVqlUYO3YsJk2ahM2bN/davQB22fpHH30U165d09mek5OD4OBgveMvX76MRx99FCEhIXjhhReQm5urs3/btm2YOHEiwsLCsHLlStTV1bV5bZlMhtdffx1hYWGYMmUKDh06ZJhKtdBW/QCguroaEydOxIEDB3S2X79+HbNnz0ZISAj+9Kc/aVcRzcvLa/Pvr+VCRC1lZGTgxRdfRHh4OKZMmYJNmzbB0Mm+WqvjuXPn8NhjjyE0NBSzZ8/GlStXdF6zdetWREdHIyQkBC+99BJycnJaPfeWLVswefLkTpVDpVLh8ccfx1dffdX9yhgQxVGKo30VRwHLjqUUR80gjjLE6FJSUphx48YxkydPbve4mJgYJioqiiktLdV+lZWV9VEpdanVamb69OnMO++8w+Tk5DBnz55lwsPDmcOHDzMqlYp57LHHmCVLljBZWVnMjz/+yIwcOZJJTU1lGIZhVCoVExQUxFy/fl2nLutU4t8AACAASURBVCqVSu86SqVS55iSkhLmueeeY5YuXdqr9aurq9O5bkFBATN9+nTmX//6F5Odnc0EBQUx27ZtY3Jzc5mtW7cyo0aNYvLy8hiGYZhz584xwcHBzOHDh5m7d+8yn3/+ORMeHs4UFRW1eq233nqLmTFjBnPjxg3m+vXrTHR0NLN169Zeq9df/vIXxtfXl7l27Zp2e35+PjNjxgzGz89P5/h79+4xISEhzNatW5n09HTmzTffZB577DHt/t9++42JiIhgzp49y9y8eZOZOXMm88EHH7R5/cWLFzOLFi1i0tLSmJ9++okJDAxkEhISer1+Tf7xj38wvr6+zIEDB7Tb8vLymODgYOarr75icnJymH/84x9MdHQ0o1QqGbVarff399e//pWZM2dOq3+vCoWCmTx5MrNixQomKyuLOXv2LDN27Fhm586dvVrHvLw8JjAwkPnuu++Y3NxcZuPGjUxISAhTWFjIMAzD/PLLL0xERARz7tw5Jjs7m/nb3/7GPPTQQ3rnvnv3LhMcHNxhLGqyadMmxtfXl/nyyy8NVr/uojhKcbSv4mhT3Sw1llIcNY84Sg14I9u9ezcTGhrKzJo1q8M3e+/evcwzzzzTRyVrX1FREfPWW28xNTU12m1Lly5l1qxZw5w+fZqJiIhg5HK5dt+SJUuYvXv3MgzDMNnZ2Yy/vz9TX1/f5esePnyYiYyMZGQyWc8r0QUbN25kpk+fziiVSubq1avMxx9/rLN/9OjRzLFjxxiGYW8ka9as0dk/Y8YMbf1bKisrY3x9fZmrV69qt/3666/MhAkTDF6HtLQ0ZtasWcysWbN0gtbJkyeZsWPHMrNmzdK76Xz++efM888/r/25traWCQsL07722Wef1Qk6MTExTHBwMFNXV6d3/ZycHMbX15e5d++edtvKlSuZ5cuX92r9mly/fp2ZPn06M378eJ0bz7p165gFCxbo1HHatGlMSkqK3jViY2OZUaNGMZmZma2W4dy5c0xkZCSjVCq12zZt2mSw/9u26nj06FEmKipK59jRo0czx48fZxiGYX744Qedv7/bt28zvr6+eg3XRYsWMfPmzWOio6M7LEt2djYzYcIEZubMmUZvwFMc7RqKoz1jybGU4qj5xFEaQmNkFy5cwCeffIKFCxd2+HgoPT0dQ4YM6ZuCdcDV1RWffvoprK2twTAMYmNjcf36dURFReHq1asYO3YsbGxstMdv2LABc+bMAcDWw93dHVZWVl26ZkNDAz7//HO89tprcHBwMGh92lNRUYEtW7bgb3/7GwQCAUaPHo0VK1Zoy/TTTz9BqVQiKCgIALvKZMtVJZvI5XK9bXl5eQCg87h12LBhKCkpQX5+vkHrcf36dYwdOxZ79uzR2X7u3Dm8+eabWLlypd7fYEJCAiIjI7U/i0QiBAQEIC4uDmq1Grdu3dLZHxwcjIaGBu2j0/vPNWDAAHh4eGi3hYWFIS4urlfrB7CPSlevXo1//vOfen93V69exfTp07U/i0QinDhxAr6+vnrn+c9//oM//elP8Pb2brUMAQEB2LBhAwQCgXYbwzCtvvfd0VYd/fz8UFNTg5MnT4JhGJw8eRIKhQIjRowAADz77LPa/7/q6mrs2rULw4cPh6Ojo/YcBw8eRH19PZ5++ulOlWX16tVYtmwZpFKpQerWExRHO4/iaM9ZciylOGo+cZTf5VcQg9qwYQMAdqxgRzIyMqBWqzFnzhwUFRUhIiICK1asgIuLS28Xs12TJ09GQUEBoqOjMX36dBw+fBgDBw7E+vXrcejQIUilUrz++uvasakZGRkQCAR49dVXcevWLXh7e+Odd97RBu62HDt2DNXV1Xjuuef6olpau3fvhpubm05wAthxjg8//DA0Gg3efvttbTANCAjQOe78+fPIzs7GmDFj9M7t5OQEACgsLMTgwYO13wPsGMeWAbqn5s2b1+r2tWvXAmAD8P1KSkrg6uqqs83Z2RlFRUWorq5GfX29zn4+nw8HBwcUFhbqjQFt7VxOTk4oKirqVn3u11b9AGDjxo0ICAjAuHHj9Pbl5eVBKBRi2bJliI2NxbBhw7B69WoMHTpU57jY2FgkJCTgs88+a/M6zs7OcHZ21v5cV1eHvXv3YsqUKd2okb626ujt7Y21a9di2bJl4HK5UKvVWLdunV5Ddd++fVi1ahWsrKx0xlqXl5dj/fr1+N///oeEhIQOy/Hzzz+joaEBc+bM6ZV5DF1FcZTiKNA3cRSw7FhKcdR84ij1wJuRrKwsKBQKvPfee/jss89QXFyMxYsXQ6PRGLVcX331FTZu3Ijbt2/j448/hkKhwIEDB1BdXY1NmzZh9uzZeOONN3Dr1i1tPeRyOebMmYPNmzdj6NChWLhwYYeTqfbu3Yu5c+d2ucepJxiGwU8//YT58+fr7XNycsL+/fuxevVqfPHFFzhx4oTeMXfv3sWKFSswa9Ys7cStlgYOHIiQkBB8/PHHqKqqQklJCb755hsAbK+UsdXV1en9vq2srKBUKrUTrNraf7/a2tpOH2tI6enp2LNnD957771W98vlcqxfvx5RUVHYsmULBgwYgIULF0KhUOgct3fvXkyfPl3vxtkWjUaD5cuXo7a2FosXL+5xPdqTmpqK999/H6+//jr27duHV199FWvXrkVmZqbOcePHj8fBgwcxd+5cLFmyRNtz+fHHH+Opp57Su9m2pqysDJ999hk++OCDXqlLb6M4SnHUGMw9llIcbWYqcZQa8H1o48aNCA0N1X7FxsZ26fXHjh3Dzp07ERoaivDwcHzxxRdISUnBzZs3e6nEnTNy5Eg8+OCDWLFiBfbs2QONRgOpVIr3338f/v7+WLRoER588EHs3bsXAPDhhx/i5MmTmDJlCvz9/bFmzRoMGjQIv/zyS5vXKCsrQ2xsLGbNmtVX1QIAJCYmori4GDNnztTbZ2trCz8/P+1jtR07dujsz8rKwoIFCzB48GB8+OGHbV7jk08+QVFREaKiovDoo49q69jy0bmxCIVCvZtCfX09RCKR9gZy/36lUgmxWNypcymVSohEIgOXuhnDMFi1ahWWLVum85iz5eNtPp+PyZMn47nnnoO/vz/Wrl0LjUaD06dPa49RqVQ4ffp0p//+VCoV3nnnHZw7dw5ff/21toewt+zYsQORkZFYsmQJ/P398eabbyI4OBjbt2/XOW7AgAHw8/PDqlWr4O7ujoMHD+LChQtISEjAkiVLOnWtjz76CE8++SSGDRvWG1XpEMVRiqOtMeU4Cph3LKU4appxlIbQ9KF58+bpBLDOfgJtcv8nbkdHRzg4OBhsCEJXlJWVIS4uTidl29ChQ9HQ0AAPDw+9sg4ZMgSpqakAAB6PB2tra539Pj4+KC4ubvN6Fy5cgKenJ4YPH27AWnTswoULiIyMhJ2dnXZbWloaKisrERERod3m4+Ojk4oqLS0NCxcuhJeXFzZv3txub5eXlxcOHjyI8vJy2NnZISMjAxwOBwMGDOidSnWBm5sbSkpKdLaVlpYiICAAUqkUQqEQpaWl2rGMKpUKFRUVrQ5HaOtcvTl0IT8/H/Hx8bhz5w7WrVsHgO0J++c//4ljx47h22+/hYuLC3x8fLSvEQgEGDhwoE5PZnx8PFQqVauPju/X0NCAt956C5cvX8bmzZsREhJi+Irdp7CwUK9nsmVKwT/++ANubm46Y06HDh0KmUyGo0ePoqCgQDs0Qa1Wo6GhAaGhodiyZQvCw8N1znv06FGIRCJtQ6u+vh5xcXE4fvw4Dh8+3JvVBEBxlOJo60w5jgLmHUspjppmHKUe+D5kb28PT09P7ZdQKOz0a+VyOSIiInTG1hUVFUEmk+n80/SV3NxcvP766zo3vVu3bsHR0REhISFIS0vTeSSdkZGBQYMGAQDmz5+vk+9Uo9EgJSWl3XrcvHkTYWFhvVCT9rV23TNnzuAf//iHzrakpCTtY7Pi4mK8+OKL8Pb2xvfff99uD5BGo8FLL72E1NRUODo6QiAQ4Pz58/D394etra3hK9RFwcHBOj2ctbW1uH37NkJCQsDhcBAYGKiTxzc+Ph58Ph9+fn565woJCUF+fr7O30xsbCxCQ0N7rfzu7u44efIkDh06hEOHDuGXX36Bq6sr3njjDW1vXkhICG7fvq19jVKpRG5uLgYOHKjdlpCQgFGjRnVq2MHq1atx5coVbNmyRadx0pu8vLyQlpamsy0zMxOenp4AgM2bN2Pr1q3afWq1Grdv38bQoUPxzjvv4NixY9rf0bJly+Dq6opDhw5h1KhRetc6efIkDh8+rP19jho1CvPmzcO3337bu5VsRHGU4uj9TD2OAuYdSymOmmYcpQa8Cauvr9d+yra1tcXo0aPxr3/9C4mJiUhKSsJbb72FBx54oM97UwAgKCgII0eOxHvvvYeMjAycO3cO69evx2uvvYaZM2dCo9FgzZo1yMnJwQ8//ICLFy9i7ty5AICpU6fif//7H06fPo3MzEx88MEHkMvleOKJJwAACoUC5eXlOtdLS0vr1LgyQ2vtuo8//jhKSkqwfv16ZGdn44cffsDhw4e14/P+7//+DwzD4MMPP4RcLkdJSQlKSkq0YwFb1o/L5cLKygr/+c9/kJOTg1OnTuGbb77p9bF+nfXUU0/hxo0b+Pbbb5GWloYVK1bA09MTo0ePBsDOyv/uu+9w6tQp3Lx5E2vWrMHcuXO1jaqKigpt5gBPT09MmDAB77zzDu7cuYOffvoJR44cwbPPPttr5efxeDqNPS8vL/B4PDg5OWl7bl944QWcOHECu3fvRnZ2Nj744AOIRCJER0drz9Pe31/LOl66dAkHDhzAu+++C09PT+17f//fs6HNmzcPFy5cwLZt25Cbm4tt27bh4sWL2t/tc889hwMHDuDXX39FZmYm1qxZA6VSiSeeeAKOjo46vyNHR0ft762t97Hl71MoFMLe3t5kejrvR3G0GcVR4zHnWEpx1ETjaJeSTpJes3//fr38xT///DPj6+ur/bmyspJZvnw5M2bMGCY8PJz5+9//zlRXV/d1UbWKioqYpUuXMuHh4cyECROYjRs3avelp6cz8+fPZwIDA5mHHnqIOXnypM5rN27cyERHRzNBQUHM888/z6SlpWn3ffHFF3r5Ux9++GFmz549vVuhVgQFBTEXL17U2x4fH8/MnTuXCQ4OZmbOnMmcPn2aYRiG0Wg0THBwMOPn58f4+vrqfDXleL2/fiUlJczixYuZ0NBQZtq0acy+fft6vV6t5ff9448/9HIXMwybk3fGjBlMcHAws2jRIu1CK002bdrEjBs3jomIiGBWrlypk5d6/vz5OrmJy8rKmFdffZUJCgpipk6dyhw5csTANWO1tQAJwzBMdHS0Tv5ihmGYU6dOMQ899BATGBjIPPvss0x6errO/pdffpn59NNPWz1fyzquXr261fe+swt6dMX9dbx8+TLzxBNPMCEhIcyTTz7JXL58Wef4ffv2MdOnT2eCgoKYBQsWMBkZGa2et7VYdP/7eP8+Y+eBb0JxlOJoX8ZRhrHsWEpx1LTjKIdhDLw2LSGEEEIIIaTX0BAaQgghhBBCzAg14AkhhBBCCDEj1IAnhBBCCCHEjFADnhBCCCGEEDNCDXhCCCGEEELMCDXgCSHk/9u796Cozvvx4++VS5WrCBZttBqoESGyXATiJQqMFFJFJyYWia6KY0CEekGqqBg1VBEiIhGWgqA2XgYwXpKqaVqNNxQEWpU4tkkabGNiQlUCSiUosL8/mD0/FhBB0ZTvfF4zzLhnn+c5z3nOc/Bznv3sQQghhOhBJIAXQgghhBCiB5EAXgghhBBCiB5EAnghhBBCCCF6EAnghRBCCCGE6EEkgBdCCCGEEKIHkQBeCCGEEEKIHkQCeCGEEEIIIXoQCeCFEEIIIYToQSSAF0IIIYQQogfpUgCv0WhwcnJSfkaMGIGHhwevvfYau3fvprGx0aC8v78/K1euVF4XFxcTGBjIyJEjCQ8Pp7a2lgULFqBWq/H29uarr77qnqP6HxQXF2cwdu39zJ49+5n3S6PRoNFour3duLg4/P39u73d1p5W/38sJ06cYMWKFcrrCxcu4OTkRGlp6Y/Yq+6j1WrJzc39UfvQXXPm/9q5EUII0XMYd7WCs7Mz69atA6CxsZGamhpOnz5NYmIiZWVlbN26FZVKBTT/Z21ubq7UTU5OBiA7Oxs7OzsOHz7MqVOnWLt2LcOGDeO5557rhkP63xQVFcUbb7wBgE6nQ6vVcvXqVTIyMpQyLcfqWdGfy6dBPw+etme1n2dh165dBsfj4uJCQUEBDg4OP2Kvus+7775LdHT0j9qHpznnhRBCiGehywG8hYUFrq6uBtt8fX1xcHBgw4YNHDlyhODgYACcnJwMylVXV+Pj48Po0aMB+PjjjwEIDQ19rM73JIMHD2bw4MHKaxsbG0xMTNqM5bPm6Oj41NrW6XRPre3/y1qOW3vXm3gyT3POCyGEEM9Ct+XAz5o1C3t7e/Ly8pRt+hSab775BicnJ27cuMGhQ4dwcnJCo9GQnp4ONAf6+lSb+vp6kpOTmTBhAiNHjmTKlCkcO3bMYF/+/v4kJiYyZ84c1Go18fHxQPMNwltvvcXYsWNxdXUlJCSEoqIig7pOTk7s27eP1atX4+Pjg4eHB0uWLOH27dsG5Q4fPsyrr76Km5sbfn5+bNmyhQcPHijvf/7550RERODp6YmnpyfR0dFcv379icexrKyMWbNm4ebmho+PD3FxcVRVVSnvHzx4EBcXF/bv38/YsWPx8fHhyy+/RKPR8NZbb6HVann55Zdxc3MjPDyc27dvc+DAAQICAnB3dycsLIxvvvlGaa91OkFnxqexsZHs7GwmT56MWq3G3d2dGTNmcOHChU4dY319PZ6eniQlJRlsb2ho4KWXXmLjxo0A/PDDD6SkpChpV56ensybN49//OMf7bb79ddf4+TkxKFDhwy2t5fOc/z4caZNm4arqyvjxo1jw4YN1NXVdar/j6LRaPjtb3/LokWLcHd3Z968ecpxdzS3NRoNpaWllJaWKqkZrdM0tm3bxi9/+UvS09Px9vZm3Lhx3L17F4D9+/czadIkRo4ciZ+fH+np6TQ1NRmMw/z588nPz2fixImo1WpCQ0P517/+xcmTJwkODsbNzY1f//rXbca4s/OyvLyckJAQXF1d8ff3Z8eOHUoZ/Q19enp6m5v7lvz9/UlJSeF3v/sdXl5e+Pj4sGLFCmpqah6rT+1dKy3nfH19PRkZGQQFBeHq6kpgYCDbt29vcwOal5dHYGAgarUajUbDjRs3HnoMQgghxNPUbQG8SqXipZde4vLlywZBA0D//v3Jz8/Hzs4OX19fCgoKiI+P5/XXXwegoKCAhQsXAs2pJvn5+cybN4/f//73uLu7ExMTw+HDhw3a3Lt3L2q1mszMTKZPn059fT1z5szhk08+YenSpaSnp2Nvb8+bb75JcXGxQd3U1FR0Oh2pqaksX76ckydPKkGjvu24uDhGjhxJRkYG4eHh7N69m4SEBACuXbvGjBkz+P7770lKSmLDhg1cv36d0NBQgwCiq0pLS5k7dy5mZmakpaWxcuVKSkpKmDNnDvX19Uq5xsZGdu3axcaNG1m5cqWyonj06FGKi4tJTExk9erVnD9/nlmzZrFnzx7i4uJISEjg0qVLvP32223OXVfGZ/PmzWRmZhIaGkpubi4JCQnU1NSwaNEig34+zE9+8hOCgoL405/+ZLD93LlzVFdXM3XqVACWL1/OwYMHiYiIYOfOncTFxfHFF1+wbNmyDttvL6Wm5bY//vGPREdH84tf/AKtVkt0dDQffvihMge7w0cffYSFhQWZmZm8+eabwKPn9rp163B2dsbZ2ZmCggJGjBjRbts3btzg7NmzpKWlsWrVKiwtLcnKylJuXrOyspg5cybbt29nzZo1BnUvXrzIvn37WLVqFYmJiXz55ZeEh4ezadMmIiMj2bJlCzdu3CA2Nlap09l52dTUxJIlS5g8eTLbt2/Hw8OD5ORkCgsLAcjPzwdg+vTpFBQUdDh+eXl5lJeXk5SURGxsLKdOnSIiIqLLfXrYtaKfDzqdjgULFpCbm0tISAhZWVkEBQWxdetW1q5dq7SzZ88e1q1bh6+vL5mZmajV6jZjK4QQQjwrXU6h6YidnR0NDQ1UV1fTr18/ZbupqSlqtRpTU1NsbGyUlAB7e3sA5fW5c+coLCxk69atBAUFATB27Fjq6upISUlhypQp9OrVfM/x3HPPERMTo+yjoKCAzz77jIKCAqW98ePHo9Fo2Lx5M++//75Sdvjw4UpAOmbMGMrLy5VgsqmpiYyMDAICApRAd+zYsfzwww8cOXKEhoYG0tPTMTMzY+fOnUre+ujRo5k4cSI5OTksX778scYvJSUFBwcHsrKylADDzc2NSZMm8f777zNz5kyl7IIFC5gwYYJB/cbGRjIyMrC0tASaU5QKCws5fvw4gwYNAuDSpUt88MEHHfajo/EBuHnzJjExMQb9MTU1ZdGiRXz22WedSvmYOnUqBw4coKysjFGjRgHNNyCOjo64uLhw//597t27x5o1a5S5MGrUKGpra0lKSuL27dvY2to+cj96+tVUnU7H5s2bGT9+vPKdDIAhQ4YQFhbG6dOn24zr4zAxMWH9+vWYmJgAnZvbjo6OmJubo1KpOhzDhoYGVqxYgYeHBwB3795Fq9UyY8YMVq1aBTSft759+xIfH8+8efOUwPW///0vW7du5fnnnwegpKSEvLw8/vCHP+Dj4wPAv//9b5KSkqitrcXCwqLT81Kn0xEVFcVrr70GgLu7O3/5y184deoU48aNQ61WA83X/aPmSK9evdixYwcWFhZAc8pZdHQ0hYWFjBs37omvFb0zZ85QVFTEli1b+NWvfgU0X8u9e/cmLS2NOXPm4ODggFarZdKkSconhWPGjKG2ttbgE0chhBDiWenWx0g+ac5zUVERKpWK8ePH09DQoPz4+flx8+ZNPv/8c6Vs64/gi4qKsLOzw8XFxaCur68vV65cUdIMoPk/+pbs7e2V9Ilr165RVVVFQECAQZmwsDAOHDiAsbExxcXF+Pj40Lt3b2U/5ubmeHp6cv78+cc69rq6OsrLy/H19aWxsVFpd9CgQTg4OLRpt73VWQcHByV4h+Ybqn79+inBO4C1tbXBWLSno/GB5hV4jUZDVVUVZWVlHDhwgA8//BCA+/fvd+p4vb29+dnPfqakkNTX13P8+HFl9d3U1JScnByCgoKorKykuLiYvLw8Tp482aX9tFZRUUFlZSV+fn4G88TLywtzc3POnTvXbj2dTmdQvqGhocP9ODo6KsE7dG1ud0bL83/x4kXq6+vbHJOfnx+AwTFZW1srwTug3ATpg2t9GYA7d+50eV62nDumpqb069fvsVKT/Pz8lOAdmtNqjI2NKS0tpa6ujsuXLz/RtaJXUlKCsbExr7zyisF2/fd4SkpKqKiooKqqShlPPf2NmBBCCPGsdesKfGVlJX369MHGxuax6ldXV6PT6ZSVxZZUKhX/+c9/lMDdzMysTd1bt27h4uLy0Lr64LZ3794G7/fq1Uu5+aiurgbocHW3urqao0ePcvTo0TbvdWVVuKU7d+7Q1NREdnY22dnZbd7v06ePwevWxw8YBDwPq9cZHY0PwKeffsr69eu5cuUKffr0YdiwYQwYMADo2k1ccHAw+/fvJz4+npMnT1JXV6cETgBnz55l48aNXLt2DXNzc0aMGKEcT1dvFvWrtPrzu379etavX9+mzM2bN9utn56ebvDEIJVKxd///veH7q+9+dnZud0ZLc+r/pjCw8Mf2rZee3ME2p5zva7Oy9avVSpVm5S6ztB/OqfXq1cv+vbtS3V1NXfu3EGn0z3RtaJXU1ND375926Rd9e/fH2j+dEOfe9/695q+jBBCCPGsdVsA39DQwIULF/Dw8Hjsx/pZWlpiZmbG7t2727yn0+kYMmTIQ+taWVkxZMgQtmzZ0qYeYLAK3RErKyuANrns1dXVXL16FXd3d6ysrBgzZozy5cSW+zI2frwh1adOzJ07l8mTJ7dp93ECcX3d7lRbW8v8+fMZMWKEkvICcPr0af785z93qa0pU6aQlZXFhQsXOHbsGF5eXgwcOBCAr776iqioKAICAsjOzlae4LN3717Onj3bbnv6edf67xHcu3dP+bf+/K5YsQJvb2+DcjqdTll9bi0kJOSJnmv/JHP7UfTHlJKSwtChQ9u0bWdnZ/C6K57WvHyU1tdfY2Mj1dXV2NraYmFh0W19sra2Vm6uWv7e0t/02NjYKOmAt27dMqirv3ESQgghnrVuS6HJz8/n1q1bT/RISB8fH+7du0dTUxMuLi7KzxdffIFWq20TmLXk7e3Nd999R79+/QzqFhUVkZub2+nA2sHBARsbGz755BOD7YcOHSI8PJwHDx7g5eXFP//5T5ycnJT9ODs7895773H8+PFOH2/LgMHCwgJnZ2cqKioM+u/o6EhGRgYlJSWdbvdh++gOFRUV1NTUMHv2bIPH8Z05cwbAYLX1UfvW57sfPXqUM2fOKOkzAFeuXOH+/fuEh4cbPH5TH7y3t6qrX13+9ttvlW0PHjygvLxcee3g4ICtrS3Xr183GGd7e3tSU1Mfuqr+05/+1KB8e5/0dKSzc7v1px2doVarMTEx4bvvvjNo29jYmNTUVL7++mulbFfnQ3fPS/13WB7l7NmzBmlSJ06coKGhgdGjR2Nubt5tffL29qahoYGPPvrIYLs+JczDw4OhQ4cycODANmX06VxCCCHEs9bl5eLa2louX76MTqejqamJ77//nsLCQgoKCpg6dSoTJ0587M5MmDABLy8vFi5cyMKFC3FwcKC8vJz09HRefvll+vbt+9C606ZNY8+ePYSFhbFgwQIGDBjA+fPnycnJQaPRYGRk1Kk+GBkZ8Zvf/Ia3334bW1tbwpWEjAAAA/hJREFU/Pz8qKioYNu2bcyaNQsrKyuioqKYMWMGERERhIaGYmpqSn5+PidOnGDbtm2dPt7WgVpMTAzh4eHExsYSHBxMY2MjO3bs4NNPPyUyMrLL7T1s2+OU0Xv++eeVp6sYGRlhZGTExx9/zIkTJwDD1e7OtDt16lQ2bdqEqakpgYGByvYXX3wRY2Nj3nnnHcLCwrh//z4HDx7k8uXLAAZ51fr9WFtb4+7uzp49exg6dChWVla899571NfXK6uyRkZGLFmyhLVr19KrVy/8/Py4c+cOmZmZVFZWtnlCz+NqfeydndvW1tZcvHiR4uLiDnO3W7KxsWH+/PmkpaVRW1uLt7c3lZWVvPvuu6hUKoPUnMf5ROZJ52VLlpaW/O1vf6OkpKTNJyAtVVZWEhkZyezZs/n2229JTU1l/PjxeHl5dUuf9OMwYcIEfHx8iI+Pp7KykuHDh1NSUkJOTg6vvvqqcpMaGxvLsmXLWLNmDYGBgVy6dEm+wCqEEOJH0+UA/urVq4SEhADNq3nm5uYMHz6cdevWMX369C61pVKpDFYEVSoV2dnZpKWlkZWVxe3btxkwYABz584lKiqqw7b69OnD3r17SUlJ4Z133uHu3bsMGjSI2NjYNqkuj+rHG2+8gZmZGbm5ueTn5zNw4EAiIiKUxwEOHz6cvXv3Ko9Z1Ol0vPDCC2i12jZfdOvsPqH5qSQ5OTlkZGSwePFiTExMePHFF9m5c6fBUzsetoraent7+3jYts721dLSEq1WS3JyMosXL8bCwoKAgACOHDlCUFAQf/3rX/Hz82t3P+2ZPHkyycnJbb60+POf/5yUlBTS09OJjIzE1taW4OBgVq9ejZ+fH2VlZQwbNqxN/zdt2kRCQgLx8fFYWFjw+uuvM2rUKPbv36+UmT59OhYWFuTk5FBQUICZmRmenp6kpKR0218Dbm+MOzO3Z86cyZUrVwgPDycxMZH+/ft36nwtXryY/v37s2/fPnJycrC2tmbMmDHExMQo49rZ+dB6H086L1uKjIxEq9USERHBsWPHlJSp1l555RVsbGxYunQpZmZmTJs2jaVLl3Zbn1puz8rKIi0tjV27dlFVVcXgwYNZtmwZYWFhSplJkyahUqnIzMzkgw8+4IUXXiAhIcHgSVhCCCHEs6LSyZ/LFEL8D/H392fUqFEGj/kUQgghxP/XrY+RFEIIIYQQQjxdEsALIYQQQgjRg0gKjRBCCCGEED2IrMALIYQQQgjRg0gAL4QQQgghRA8iAbwQQgghhBA9iATwQgghhBBC9CASwAshhBBCCNGDSAAvhBBCCCFEDyIBvBBCCCGEED2IBPBCCCGEEEL0IBLACyGEEEII0YP8P5CZW/QYMClcAAAAAElFTkSuQmCC",
"text": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x000000008101C080>)"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is evident that the numbers are positive throughout, so households going into retirement always save more than households consuming their cash-on-hand in the last period. This difference is very low (and sometimes inexistent) for very low level of assets, and gets very large for high values of assets, dropping again at extremely high levels of wealth (which hardly anyone should ever achieve in simulations)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"function plot2Dconfunc(c_x::Array{Float64, 5}, t::Int64, wgrid::Array,\n",
" figtext::String)\n",
" \u03b1_mid = convert(Int64, round(size(c_x,2)/2))\n",
" \u03b2_mid = convert(Int64, round(size(c_x,3)/2))\n",
" z_mid = convert(Int64, round(size(c_x,4)/2))\n",
" \u03b1_hi = size(c_x,2)\n",
" \u03b2_hi = size(c_x,3)\n",
" z_hi = size(c_x,4)\n",
"\n",
" fig, ax = PyPlot.subplots(2, 2)\n",
" ax[1,1][:plot](c_x[:, 1, \u03b2_mid, z_mid, t], label = L\"\\alpha=1\")\n",
" ax[1,1][:plot](c_x[:, \u03b1_mid, \u03b2_mid, z_mid, t], label = L\"\\alpha=2\")\n",
" ax[1,1][:plot](c_x[:, end, \u03b2_mid, z_mid, t], label = L\"\\alpha=\"*string(\u03b1_hi))\n",
" ax[1,1][:set_title](L\"\\beta=\"*string(\u03b2_mid)*\", z=\"*string(z_mid))\n",
" ax[1,1][:set_xticklabels](round(linspace(wgrid[1, 40], wgrid[end,end], 6), 1))\n",
" ax[1,1][:legend](loc = \"best\")\n",
" ax[2,1][:plot](c_x[:, \u03b1_mid, 1, 4, t], label = L\"\\beta=1\")\n",
" ax[2,1][:plot](c_x[:, \u03b1_mid, 4, 4, t], label = L\"\\beta=4\")\n",
" ax[2,1][:plot](c_x[:, \u03b1_mid, 6, 4, t], label = L\"\\beta=6\")\n",
" ax[2,1][:plot](c_x[:, \u03b1_mid, end, 4, t], label = L\"\\beta=\"*string(\u03b2_hi))\n",
" ax[2,1][:set_title](L\"\\alpha=\"*string(\u03b1_mid)*\", z=\"*string(z_mid))\n",
" ax[2,1][:set_xticklabels](round(linspace(wgrid[1, 40], wgrid[end,end], 6),1))\n",
" ax[2,1][:legend](loc = \"best\")\n",
" ax[1,2][:plot](c_x[:, \u03b1_mid, \u03b2_mid, 1, t], label = L\"z=1\")\n",
" ax[1,2][:plot](c_x[:, \u03b1_mid, \u03b2_mid, 3, t], label = L\"z=2\")\n",
" ax[1,2][:plot](c_x[:, \u03b1_mid, \u03b2_mid, 5, t], label = L\"z=3\")\n",
" ax[1,2][:plot](c_x[:, \u03b1_mid, \u03b2_mid, end, t], label = L\"z=\"*string(z_hi))\n",
" ax[1,2][:set_title](L\"\\alpha=\"*string(\u03b1_mid)*\", \"*L\"\\beta=\"*string(\u03b2_mid))\n",
" ax[1,2][:set_xticklabels](round(linspace(wgrid[1, 40], wgrid[end,end], 6),1))\n",
" ax[1,2][:legend](loc = \"best\")\n",
" ax[2,2][:plot](c_x[:, 1, 1, 1, t], label = L\"\\beta=1\")\n",
" ax[2,2][:plot](c_x[:, 1, 4, 1, t], label = L\"\\beta=4\")\n",
" ax[2,2][:plot](c_x[:, 1, 6, 1, t], label = L\"\\beta=6\")\n",
" ax[2,2][:plot](c_x[:, 1, 8, 1, t], label = L\"\\beta=\"*string(\u03b2_hi))\n",
" ax[2,2][:set_title](L\"\\alpha=1, z=1\")\n",
" ax[2,2][:set_xticklabels](round(linspace(wgrid[1, 40], wgrid[end,end], 6),1))\n",
" ax[2,2][:legend](loc = \"best\")\n",
" fig[:suptitle](\"Consumption over assets, period \"*string(t))\n",
" fig[:text](0.01, 0.01, figtext)\n",
" plt.show()\n",
"end;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
}
],
"metadata": {}
}
]
}
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