{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Cantilever with a Tip Moment\n",
    "\n",
    "This example shows how to predict the behavior of a cantilever beam that is subjected\n",
    "to a constant tip moment.  This is a common benchmark problem for the geometrically\n",
    "nonlinear analysis of beams.\n",
    "\n",
    "![](../assets/tipmoment-drawing.svg)"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using GXBeam, LinearAlgebra\n",
    "\n",
    "L = 12 # inches\n",
    "h = w = 1 # inches\n",
    "E = 30e6 # lb/in^4 Young's Modulus\n",
    "\n",
    "A = h*w\n",
    "Iyy = w*h^3/12\n",
    "Izz = w^3*h/12\n",
    "\n",
    "# bending moment (applied at end)\n",
    "λ = [0.0, 0.4, 0.8, 1.2, 1.6, 1.8, 2.0]\n",
    "m = pi*E*Iyy/L\n",
    "M = λ*m\n",
    "\n",
    "# create points\n",
    "nelem = 16\n",
    "x = range(0, L, length=nelem+1)\n",
    "y = zero(x)\n",
    "z = zero(x)\n",
    "points = [[x[i],y[i],z[i]] for i = 1:length(x)]\n",
    "\n",
    "# index of endpoints of each beam element\n",
    "start = 1:nelem\n",
    "stop = 2:nelem+1\n",
    "\n",
    "# compliance matrix for each beam element\n",
    "compliance = fill(Diagonal([1/(E*A), 0, 0, 0, 1/(E*Iyy), 1/(E*Izz)]), nelem)\n",
    "\n",
    "# create assembly of interconnected nonlinear beams\n",
    "assembly = Assembly(points, start, stop, compliance=compliance)\n",
    "\n",
    "# pre-initialize system storage\n",
    "system = StaticSystem(assembly)\n",
    "\n",
    "# run an analysis for each prescribed bending moment\n",
    "states = Vector{AssemblyState{Float64}}(undef, length(M))\n",
    "for i = 1:length(M)\n",
    "\n",
    "    # create dictionary of prescribed conditions\n",
    "    prescribed_conditions = Dict(\n",
    "        # fixed left side\n",
    "        1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0, theta_z=0),\n",
    "        # moment on right side\n",
    "        nelem+1 => PrescribedConditions(Mz = M[i])\n",
    "    )\n",
    "\n",
    "    # perform a static analysis\n",
    "    _, states[i], converged = static_analysis!(system, assembly;\n",
    "        prescribed_conditions = prescribed_conditions)\n",
    "\n",
    "end\n",
    "\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Comparison with Analytical Results"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "This problem has a simple analytical solution, which we obtained from \"Study of the\n",
    "Geometric Stiffening Effect: Comparison of Different Formulations\" by Juana M. Mayo,\n",
    "Daniel Garcia-Vallejo, and Jaime Dominguez."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "# analytical solution (ρ = E*I/M)\n",
    "analytical(x, ρ) = ifelse(ρ == Inf, zeros(3), [ρ*sin(x/ρ)-x, ρ*(1-cos(x/ρ)), 0])\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "Plotting the results reveals that the analytical and computational results show\n",
    "excellent agreement."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using Plots\n",
    "pyplot()\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=16}",
      "image/png": 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",
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ViGE6OwkwRKiixviFcaKsYs4VXSav219nrzyfEuHJIQQHZ4kWEII+rkF8sb1L1JcVczftz7PmriPCIsIw1ZvS1hEGAaDwdIhCiFEhyIJlhACgACnHrw+fgkFJYW8dWoNZ/Xn8Z7amwxjFtHR0ZJkCSFEE0iCJYSo5ePgxemVaah1GgIfDsN3Ym9CnhmGy0APFi1eZOnwhBDtTGVlJX379mXo0KG1Gzo3xeHDhxkxYgSBgYEMHTqU5OTkFrVrTyTBEkLUkbonmbyEs6hUKuDCikPnge6kpqRaODIhRHtjbW1NamoqmZmZHDjQ9B0iHnroIWbNmkV6ejrPPPMMDzzwQIvatSeSYAkh6ggKDuJ8/NnaAqSKolB6opDgfsEWjkwI0R5pNBo8PT1JTExs0nHZ2dkkJCRw9913AxAdHc3x48c5ceJEs9q1N1IHSwhRx7yYeURHR5P00i5ch3jiGuGJX3QQjwfcZ+nQhBD/I6tMIavM/Of10oOXXtXo9qtWrSI5OfmSBGvatGkcOXKk3mM2btxIdnY23t7eaLUXUhGVSoWfnx+nTp0iICCgtm1GRkaj2rU3kmAJIeqIiooiLi6ORYsXkbouFftjOrwe7Ms2q13cUnkLjtYOlg5RCAGsTDGxIMFk9vPOj1DzQqSmUW2PHz/O0qVLWbFiBevWravz3IYNGy57bHZ2du1UhIsa2rqrse3aE0mwhBCXiIqKIioqqvbfJwozeHzr8zzz4wKWj12IXqe3YHRCCICH+qm5xd/8M328GvnrbTKZmDFjBsuXLyc8PJzZs2ejKEptMnSlHqwePXqQmZmJ0WhEq9WiKAoZGRn4+fnVadvYdu2NJFhCiCsKcOrBy2Pm88S2GGJ+Xso/r52LTqOzdFhCdGleelWjk6HWsGzZMvr06cOUKVMA0Ol0HDt2jN69ewNX7sECCA8PZ+3atcycOZO4uDgCAgIuGfbz8PBoVLv2Ria5CyEaJci1D0uuncOB7CT+ufPNDtFFL4RoHUlJSaxevZrXXnut9rHIyMgmT3RfuXIlK1euJDAwkKVLl/Lee+/VPjdx4kTi4+Ov2K69kh4sIUSjhXcfyPPDn2DBb6/goXdlVvi9lg5JCGEBISEhpKSk1Hlsy5YtTT5PUFAQO3bsqPe5TZs2NapdeyUJlhCiSa4LGEVu+XneSliNh507UwJvtHRIQgjR7kiCJYRostv6TeZsaTavx6/Cx8GTIV7hlg5JCCHaFZmDJYRolsci7meIVzjzf3mJE4WnLB2OEEK0K5JgCSGaRaPWMO/qp/HQuzN7eyyFlUWWDkkIIdoNSbCEEM1mp9Oz9NoYyqrLWfDryxhNNZYOSQgh2gVJsIQQLeJp78GCUc+QeO4QqxI/tHQ4QgjRLkiCJYRosfDuA3k04n4+S/mSbSd+tnQ4QghhcZJgCSHMIjpoEuMDruXlnW/KpHchRJcnCZYQwixUKhVPDXsEL/vu/N+3MYQNC8dWb0tYRBgGg8HS4QkhWkFlZSV9+/Zl6NChGI3GJh9/+PBhRowYQWBgIEOHDiU5Ofmy7RcsWIBKpeLQoUPNDbnNSIIlhDAbW60NV1eEk1OehzLWFu+pvckwZhEdHS1JlhCdkLW1NampqWRmZnLgwIEmH//QQw8xa9Ys0tPTeeaZZ3jggQcabJuQkMDOnTvb/SbPF0mCJYQwqzeXvM6Z/xzHOcQd34m9CXlmGC4DPVi0eJGlQxNCtAKNRoOnp2eT9yHMzs4mISGBu+++G4Do6GiOHz/OiRMnLmlbWVnJY489xttvv41KpTJD1K1PKrkLIcwqLTUN7369a/+tUqlwHuhO6hepFoxKCNFaVq1aRXJy8iUJ1rRp0zhy5Ei9x2zcuJHs7Gy8vb3Rai+kIiqVCj8/P06dOkVAQECd9vPmzePuu++mZ8+erXELrUISLCGEWQUFB5FxMAufG3uhUqlQFIXCpFyC+wVbOjQhOpWawjxqis6b/bwaRxc0Tq6Nanv8+HGWLl3KihUrWLduXZ3nNmzYcNljs7OzL+mNUhTlknY7duxgz549LF26tFExtReSYAkhzGpezDyio6NJemkX7iN9cB/ug2OwC/Nun2fp0IToVEp+30Txlo/Nfl6HG+7C6cZ7rtjOZDIxY8YMli9fTnh4OLNnz0ZRlNqk6Uo9WD169CAzMxOj0YhWq0VRFDIyMi6ZY/XTTz+Rmppa23uVmZnJDTfcwLvvvsuNN7bfzeYlwRJCmFVUVBRxcXEsWryI1DUpOCn29Li5L31GSg+WEOZkP2IitgOuMvt5NY4ujWq3bNky+vTpw5QpUwDQ6XQcO3aM3r0vTBG4Ug8WQHh4OGvXrmXmzJnExcUREBBwyfDg7NmzmT17du2/AwIC+OabbxgwYEDjbshCJMESQphdVFQUUVFRANSYanh86/O8uONV3p34KnqdrYWjE6Jz0Di5Nnooz9ySkpJYvXo1u3fvrn0sMjKSxMTE2gSrMVauXMnMmTNZsmQJjo6OrFmzpva5iRMnsnDhQgYPHmzW2NuKJFhCiFalUWt4bsQTPPDt33ln3xqeHPqwpUMSQrRQSEgIKSkpdR7bsmVLk88TFBTEjh076n1u06ZN9T5e3yrD9kjKNAghWp2vgxcPh8/gq8PfkXiu/RcIFEKIlpIESwjRJiYH3shA9/68tOtNKo2Vlg5HCCFalSRYQog2oVapeeaqx8gpzeWDg59aOhwhhGhVkmAJIdqMn6MvMwbewWcpX3L4/DFLhyOEEK2mTROsxm7qWFlZyV//+lf69u1LSEhIbRl9IUTHd0f/Kfg5+rJizzuYFJOlwxFCiFbRpglWYzd1nD17Nmq1mvT0dJKSknj55ZfbMkwhRCvSqrX839CHScpN49uj2ywdjhBCtIo2S7Aau6ljaWkp77//PkuWLKmtBuvl5dVWYQoh2kCoRwgTel3Hyn1rKKgosnQ4Qghhdm2WYGVkZDS4qeP/Onr0KK6ursTGxjJ48GBGjRrF999/f9lzP/HEE9xyyy2X7IMkhGi/HgmfiaIorD7wiaVDEUIIs2vTQqON2dSxurqaY8eO0b9/f5YuXcr+/fsZN24cycnJuLu713veV199lYiIiFaJWQjROpxtnJg56A7eTnifyX0n0LtbgKVDEkIIs2mzHqz/3dQRaHBTR39/f9RqNXfddRcAoaGh9OzZk6SkpLYKVQjRRqYGTsTXwYs39r5b7xcuIUT7VllZSd++fRk6dGjt53tTNHbx25YtW4iMjCQ8PJwBAwbU2VKnvWqzBMvDw6N2U0egwU0d3dzcGDt2bG3J/ZMnT3L8+HGCgoLaKlQhRBvRqrU8FvEA+84d5NfMXZYORwjRRNbW1qSmppKZmcmBAweafHxjFr8pisKdd97J+++/z759+/jmm2946KGHKC4uNscttJo2XUW4cuVKVq5cSWBgIEuXLuW9996rfW7ixInEx8cD8M477/DSSy8xcOBAJk+ezKpVq2SiuxCd1FU+kUR6hrIq8SOMphpLhyOEaCKNRoOnpyeJiYlNOq6xi98uKigoAKCoqAhXV1esra1bEHXra9M5WI3d1LFXr15s3769jaISQljaw+EzePC7J9l0dBu39L3B0uEI0SHklZ8nrzzf7Od1te2Gq61Lo9uvWrWK5OTkSxKsadOmceTIkXqP2bhxI9nZ2Q0ufvvf0S2VSsX69euJiorCzs6O/Px8DAYDVlZWTb63ttSmCZYQQtQn0KU34wOu4V+732feXbNJO5RKUHAQ82LmERUVZenwhGiXvj68pVW2nZo58A7uGzS9UW2PHz/O0qVLWbFixSUr+Tds2HDZY7Ozsxu1+M1oNPLiiy/y1VdfMXLkSPbs2cOUKVM4ePAgLi6NTwTbmiRYQoh2wTfLjRJjKeWh4N23NxkHs4iOjiYuLk6SLCHqcUvfGxjpO9Ts53W17daodiaTiRkzZrB8+XLCw8OZPXs2iqLUJk1X6sH638VvWq22wcVviYmJnDlzhpEjRwIwZMgQvL292b9/P2PGjGnBnbYuSbCEEO3Cq0uWYxxjTfdreqBSqfC5sRdJL+1i0eJFkmAJUQ9XW5cmDeWZ27Jly+jTpw9TpkwBQKfTcezYMXr37g1cuQcLqF38NnPmzAYXv11MxNLS0ggKCuLIkSMcPXqUwMBAc9+SWUmCJYRoF9JS0/ANC6z99qtSqXAe6E7qF6kWjkwI8WdJSUmsXr2a3bt31z4WGRlJYmJibYLVGCtXrmTmzJksWbIER0fHOuUXJk6cyMKFCxk8eDArV65k2rRpqNVqFEXh7bffxsfHx6z3ZG6SYAkh2oWg4CAy4rPwus4flUqFoigUHMwhuF+wpUMTQvxJSEgIKSkpdR67WF6pKRq7+G369OlMn964eWHtRZuWaRBCiIbMi5nH+YPZpL2VgFJjIvuXDM4fzGZezDxLhyaEEE0mCZYQol2IiooiLi4O7yp3sn/OxH2ID5/FfcbUqVMtHZoQQjSZJFhCiHYjKiqKfXv3sf3VLej0VtCvfRcSFEKIhkiCJYRodzztPRjf8xo+S/mS6ppqS4cjhBBNJgmWEKJduqPfVHLLz/Pjqd8sHYoQQjSZJFhCiHapp7MfQ70i+Czly3qrOwshRHsmCZYQot26vd9kjuQfZ9+5g5YORQghmkQSLCFEuxXpGUovZ382pG20dCiiizEYDESGh2GntyUyPAyDwWDpkEQHIwmWEKLdUqlUTA28iR2n4zlbkm3pcEQXYTAYiI6Oxj7/DE8N9sc+/wzR0dGSZIkmkQRLCNGuje95DXqtLV8f3mzpUEQXsXjRQkb7u7N2cjizIgJYOzmcUf5uLIldZOnQ2p3Kykr69u3L0KFDMRqNTT7+8ccfJyAgAJVKxaFDh+ptU1FRwZQpUwgMDCQsLIwJEyZw4sSJFkbe+iTBEkK0a7ZaG27sfR3fHN1KZU2VpcMRXUBqWho39/Wosy/mtX6upKTKvph/Zm1tTWpqKpmZmRw4cKDJx0+bNo1ff/0Vf3//y7abNWsWaWlpJCYmMmnSJGbNmtXckNuMJFhCiHZvct8bKaws4teMnZYORXQBwUFBqFDVrl5VFIXtp/LoFyz7YtZHo9Hg6elJYmJik48dPXo0vr6+l21jY2PDxIkTaxPeq666imPHjjUn1DYlmz0LIdq9Ho4+DHLvz7dHtzI2YLSlwxGd3Jy587Dd8Aq7zuRz4FwR20/l8cvJXAwrVlk6tDqqiqqpKmr6sNyVWDlqsXLUNbr9qlWrSE5OviTBmjZtGkeOHKn3mI0bN9KjR49mxff6669z8803N+vYtiQJlhCiQ7ipz3he3PEaZ4rP4u3gaelwRCd2y+irOPuzIy8lF/Be/En6BQdjWLGq3e2LmfX7eTL+Y/7FHz2u98B/QvdGtT1+/DhLly5lxYoVrFu3rs5zGzZsMHtsS5Ys4fDhw7zzzjtmP7e5SYIlhOgQrvUbyevx/+a7Y9/zQOhdlg5HdGJlCT+hsrLh1W+287qVjaXDaZDXCBdcBzia/bxWjo1LDUwmEzNmzGD58uWEh4cze/ZsFEWpHcozdw/WK6+8gsFgYNu2bej1+iYdawmSYIk2ZTAYiF0US1paGkFBQcTMjSEqKsrSYYkOwEZrzRj/q/nP8e3cN2g6apVMIRWto2zfT9gMHI66HSdXAFaOuiYN5ZnbsmXL6NOnD1OmTAFAp9Nx7NgxevfuDZi3B2v58uWsW7eObdu24ezsbLbztib5CyVqGQwGIsIjsNPbEREeYfaaLxdry+gKbLlvyKPoCmyltoxokusDruVsaTYHc1IsHYropKqzTmDMOoE+/BpLh9KuJSUlsXr1al577bXaxyIjI5s80f2xxx7D19eXzMxMxo0bR58+fWqfmzhxIvHx8WRmZvLUU09RUFDAmDFjCAsLY9iwYea6lVYjPVgC+CP5GRowgvuGPMqeU78z486ZaFdZcXXkaCoLqqksrKa6xIixtIbq0hqMZUZqqkyYqhVM1SZMVSb+vGOcWqNCbaVGo1OjnLFn7Yyv8Ot2oebJ7RH38G3SF2xe9T1jw27A2lmHtZMOlUZlkddAtH8DPfrhaefB1uM/EeoRYulwRCdUlrAdla09NsGRlg6lXQsJCSElpe4XnS1btjT5PG+99RZvvfVWvc9t2rSp9r874n6kkmAJqoqNbHjrS54ZP59JIVG1yY9KpYJESE48iUoNVk46dPZatHoN1s5a7Lxt0Fir/5tAqVDr1PCn3EgxKtRUmzBVKXz88geE+w6tU1vm+uBJWGmtOPjmhSW3Ko0KGzcrbN2t0XtYo/e0xs7XFr27tSReArVKTY/K7nx9aBPzxj1NYN9A5sXMk2FmYRaKyURZ/A/ow0ah0lpu6E10DpJgdTE1VSZKTpVRdKKM4pNllGSWU1Vo5NHQf1BdU10n+fnt2M+sT1zD7/t/w8pBi0rdsgTn5+f/w47jv/DKlH+hUl2oMTP767+hdVexdeP3VOVXU55XRXl2JeXZleTsK6AyvxoAtVaF3tsGhx62OPa0w6GnHptuVi1+PUTHYjAY+NfTrzN46Rh6PjCAjB9OEh0dTVxcnCRZosWqjidTk5+NfvBYS4ciOgFJsDo5k9FE8Yky8tNLKDxcQklmBUqNgsZGjYO/Ho/B3bD3seXOR26n6GwJL095uzb5iUv8GFxqsHYyzze5mLkxREdH89QXDzPUfyS7T/7GnpM7MKwwYOdpg52nDd3+dIyxvIbS0+WUnK6g5HQ5BYdLyfrtPADWzjoce9nhHGRPtyD72smeMpG+81oYuxCbbrYoioLbEC9cB3uS9NIuFi1eJD9j0WJl8d+jcemOVc/+lg5FdAKSYHVCVUXVnE8qJi+piMIjpZiqTOjsNTj1tcdjcDcce+rRe9rU6ZF6+B+zGkx+zCUqKoq4uDgWxy7m/T1vExwcjGGF4bK1ZbS2Gpz62OPUx772seoSI0Unyig6VkrhkVJyEgoA0HvZkKM+w7xlC7C3dqidSyY9HJ1HWmoa3lN71+lpdR7oTuoXsoWJaBmluoqyxF+wv3oSKrWs/xItJwlWJ1GRX0VuYiF5B4soPlkGKnDsaYffeA+cg+yx87a57BBfc5Kf5oiKimpxoqOz1+I6wLG2/kt1iZGCwyXkp5Zw7jct79yxtrYWy+0R9/D0F4+wOHaxJFidQFBwEBkHs/C5sVdtT2vBwRyC+8kWJqJlyg/uQCkvQT90vKVDEZ2EJFgdRH3DXrdMmEzu/kKy9xZQdKwUtVaFc7ADfW/3xSXEAZ1d03685kh+LEFnr8U93Bn3cGci/9KPp66Zx7jgCcCFHo7YScvZlPIVJRnl2Pna1PZ+iI5nXsw8oqOjSXppF8F/i6QwNY/zB7N519D+qzqL9q1091asevZH5+5j6VBEJyEJVgfw5xIKeaXZJP47HfffDqFCjXOgPX2n++I60BGtjcbS4VpU38C+fJfyJWODbqjt4dhzagfX95tI4ooj6D2t8Rzugsfgbmhtu/Zr1RFd7GldtHgRub+fwWOYD3Fxce1uCxPRsdQU5FKZloDzbX+zdCiiE5EEqwOIXRTLqD7XsXjSitrel+zic3x95HMWfzTfopV825sGJ9LHGRjWL5RzO89z7KssTnxzFrcwZ7xHuWLva2vpsEUTXOxpTTh7gP/7fi4Drg2zdEiigyvdsw2VVoc+TDYSF+YjM/nauYrzVVzjcgMLJr5UZ2jrh/QtvL11hSRXf3Kxh6PGpZL397xNjUslBoOBqVFTcennQL/7/Bk6L5ge4z0oPFJC4vIjHHzrGHlJRSimjlfIrisb5NEfe50dv5/ebelQRAemmEyU7tqCbdgo1LZ2lg6nw6msrKRv374MHToUo9HY5OMff/xxAgIuFJ8+dOjQZa/z17/+lb59+xISEsLdd9/dkrDbhPRgtVNlZyvI2JZNTmIhE/rfwk9Hvmds4ITaYa/dJ38jOFgm9tbnSnPJrBx19Bjnge8Yd/IOFXH6p1xS3juJrbsVvmM9cI90Ri1FTds9rVpLhOcg9pzZx8yBd1g6HNFBVR49SE1uFnbTn7R0KB2StbU1qamp9OjRgwMHDhAREdGk46dNm8YzzzzD1Vdffdl2s2fPRq1Wk56ejkqlIisrqyVhtwlJsNqZ0jPlZGzNIfdAIdZOOnpN9mLn2V9Y8OazbEr6stVKKHRFKo0Kt1An3EKdKDpRRuYPORz+NJNT/zlHj3EeeAx2Rq2VTt72bIhXOK/ueYfiqhIcrOyvfIAQf1K2czNadx+seg2wdCgdlkajwdPTk8TExCYnWKNHX3lYtrS0lPfff5/MzMzakRwvL69mxdqWJMFqJ8pzKzn53Tly9xVi7aKjz60+tR/wUUxtkxIKXZljgJ7+9/tTcrqcjG3ZHPn8NBnbsvG/0RP3cKcWV7EXrWOoVzg1iol9Zw8y2m+4pcMRHUxNaRFl+3/F6cZ7O+Tq4vKSc1SUnjP7eW3sumNr373R7VetWkVycvIlGz1PmzaNI0eO1HvMxo0b6dGjR6POf/ToUVxdXYmNjWXbtm3Y2trywgsvMHZs+664LwmWhVUVG8nYms3ZHefR2Wnoc5sPHkO6XTJE1VFLKHQ09j629JvhT+nZCk5uOkf6xxmc3p5DwCRPugU5SJX4dsbT3oMeDt7sydonCZZosrLdW0FROmztq+MHPyJl5zKzn7ffVU/Rf/jTjYvh+HGWLl3KihUrWLduXZ3nNmzYYJZ4qqurOXbsGP3792fp0qXs37+fcePGkZycjLu7u1mu0RokwbIQU41C1i+5nPpPNgB+EzzwHuWGxkqGpNoDO08b+t/vT+GxUk58c5aklSeo7FbK35f/H97OvlIlvh0J9xxE4rmGJ8cK8WcGg4HFixayItSRzCoVNlt/6JC/wz0H3oNXr+vNfl4bu8b1XplMJmbMmMHy5csJDw9n9uzZtUWewXw9WP7+/qjVau666y4AQkND6dmzJ0lJSVx77bWNOoclSIJlAQXpJRz94gzl2ZV4jXDBb0L3JhcFFW3DqZcdg/7Wi7wDRfz2zl4+uvcLNGptbZX4p754WKrEW1iYRwhfH95MXnk+rrZ/3s1SiLou1hV8KLInvZw9+eTXdFZ20C9KtvZNG8ozt2XLltGnTx+mTJkCgE6n49ixY/Tu3RswXw+Wm5sbY8eOZcuWLUycOJGTJ09y/PhxgoKCzHL+1iLdJW2oqthI2kenOPTOcXR2GsKe7EPvaB9Jrto5lerCZPj7Pp5G6rnkOvvgDfUfSWqq7INnSWHdL0xO3i+9WKIRFi9ayGh/d+aM7AvAnJF9GeXvxpLYRRaOrGNJSkpi9erVvPbaa7WPRUZGXjIP60oee+wxfH19yczMZNy4cfTp06f2uYkTJxIfHw/AO++8w0svvcTAgQOZPHkyq1atavcT3eWTvQ0oikLO3gKOfZkFKgi80xf3SOcOOamyKwvoHcD7u/7FK1P+VfuzC/QIZvDAIRaOrGtztXWhh4M3idlJXBcwytLhiHYuNS2NucN71fmidK2fK8vi5YtSU4SEhJCSklLnsS1btjT5PG+99RZvvfVWvc9t2rSp9r979erF9u3bm3x+S5IeLDMzGAxEhEdgp7cjIjyCL9d9RfK/T5D+SSbdgh2IfDYQj8HdJLnqgGLmxrD7xO889cXDfLr3Q9bueY9ebn1ZdM2r5OwrsHR4XVqIezBJufIBKa4sOCgIvU6LolwoLKwoCttP5dFP6goKM5MEy4wuju3rCmy5b8ijROpHYvWLK7nHCuj/F3+C7u6Bzl46DTuqP1eJ31P6C8Zr8/EY4ELaRxmkrT2FsbzG0mF2SSFuwRwrOElZdbmlQxHtXMycOYzs4cK24zmsSjjBXV8l8MvJXObMnWfp0EQnI5/2ZhS7KJahASPqDCElZsbzWfz7/LL0ZwtHJ8yhvnIZiqLg0t+Bo4YzFB47TOCdvjj3kaKXbSnELQiTYiI17zARnoMsHY5ox64PcCHfzpqvzqvZmnCSfsHBGFaskrqCwuykB8uM0tLSGOI3os7wX+q5ZBIO7bVgVKK1qVQqPAZ3I/wffbFxteLQv45zamu27G3YhgKceqDX2pKSl27pUEQ7pigKJT99iXVQBF/+Gk9pWTnxCfskuRKtQhIsMwoKCmLPqd/rjO3LnoFdh003KwY+0pMe4z04tfkcSf8+QXVJ0zc/FU2nUWvo69KL9PPHLB2KaMeqTqRQnXEY+2umWDoU0QXIEKEZxcyNITo6mqe+eFj2DOyiVGoV/hO649hTT/rHGexbdph+9/vj0ENv6dA6vUCX3vyeudvSYYh2rGS7Aa27DzbBgy0diugCpAfLjP48CbrGpRKDQfYM7Iq6BTkQ9mRfrJx0HHzjGNl7CywdUqcX6NKb0yVnKa4qsXQooh0y5p2l/MDv2F8zFZVaPvpE65MeLDOTPQPFRdbOOgY91osjn58m/eMMyrIq8J/YXTaObiV9u/UC4Ej+ccK7D7RwNKK9KfnpC9R6e/RDx1k6FNFFSBovRCtS69T0ne5LwC2eZP6YQ9pHGZiqTZYOq1OK/343So3ClPuiCYsIw2CQoXlxgamshNKdW7AbeRNqKxtLhyO6CEmwhGhlKpUK32vd6TfTj/NJRRx65zjVpTL53ZwMBgO3TbuVyrwy3K72JsOYRXR0tCRZAoCS375BMdVgf/XNlg6l06msrKRv374MHToUo7Hpf9cef/xxAgICUKlUHDrU8HZXW7ZsITIykvDwcAYMGMCaNWtaEnabkARLiDbiOtCJAY/2pCy7kgNvHKMyv8rSIXUaC2MX4jLQA2t3Pfb+ToQ8MwyXgR4sWiz7y3V1SnUVJT9/hd2QcWgcXSwdTqdjbW1NamoqmZmZHDhwoMnHT5s2jV9//RV/f/8G2yiKwp133sn777/Pvn37+Oabb3jooYcoLi5uSeitThIsIdqQY4AdoX/rjanaxIE3j/HVxxvrbK0kPS7Nk5aahvNA9zr7yzkPdCc1RbbP6epKd2/FVFKA/XXTLB1Kp6XRaPD09GzyRs8Ao0ePxtfXt1FtCwoKACgqKsLV1RVra+smX68tySR3IdqYrYc1g/7aix2vHET5SY9vTS9GDBnLnlO/Ex0dTVxcnCyUaKKg4CAyDmbhc+OFTXwVRaHgYA7B/aQGXVemmGoo+TEO20Ej0bn7WDocs8sqryCrosLs5/WyscHLtvFz1VatWkVycvIlCda0adM4cuRIvcds3LiRHj16NOr8KpWK9evXExUVhZ2dHfn5+RgMBqysrBodoyVIgiWEBVh3s2L+1qd4bOCz/GPsPFQqFbdH3MNTXzzM4tjFkmA10byYeURHR3N0zUH6zBzEsY8Ocf5gNu8a3rF0aMKCyhN/wZh7Bpd7Z1s6lFax8thxFiSbv5d2fv9gXgjp16i2x48fZ+nSpaxYsYJ169bVeW7Dhg1micdoNPLiiy/y1VdfMXLkSPbs2cOUKVM4ePAgLi7td9hXEiwhLCT+0B522v9KVNgdwIVvaUP9R/L+nrctHFnHc7EG3aKXYgHwcvPiDcMyqUHXhSkmE8VbP8U6KAIrv0BLh9MqHurVk1u8vcx+Xi+bxvVemUwmZsyYwfLlywkPD2f27NkoilI7VG+uHqzExETOnDnDyJEjARgyZAje3t7s37+fMWPGNOocliAJlhAWEhQUxG/HtzM19PbaYa1juYdla6VmuliDbkrcvdz37HSmDpLkqiurSN5FddYJ3Kc9ZulQWo2XbdOG8sxt2bJl9OnThylTpgCg0+k4duwYvXv3BszXg9WjRw8yMzNJS0sjKCiII0eOcPToUQID23fiLAmWEBbyv1srjeo9lhE9R/HA8EfRjqu0dGgdmqedB2dLsy0dhrAgRVEo+s+nWPUKwbq3FJ1tDUlJSaxevZrdu//YnioyMpLExMTaBKsxHnvsMb766ivOnj3LuHHjsLe3r+31mjhxIgsXLmTw4MGsXLmSadOmoVarURSFt99+Gx+f9j2vThIsISzk4rDW4tjFvLNjOftKf2f+mJdxOGmPsawGrV5j6RA7pO52HmSX5Vg6DGFBlal7qT6VhtvDiy0dSqcVEhJCSkpKnce2bNnS5PO89dZbvPXWW/U+t2nTptr/nj59OtOnT2/y+S1JyjQIYUFRUVHsTdhLaVkpP+z8niH/F0JViZHk905QUyUV35uju50750pzLR2GsBBFUSjavBYr/2CsgyIsHY7owiTBEqId0XtY0/+BAEoyy0n/OAPFpFg6pA7HQ+9GdmkOiiKvXVdiMBiIDA/jhkAfqk6mctChZ+1kayEsQRIsIdoZxwA9Qff6kXeoiJObz1k6nA7H1daFKlM1JdWllg5FtBGDwUB0dDT2+Wd48ZpAjpwvZdyDT0jhXmFRkmAJ0Q65hjgSMMmTzG05ZMfnWzqcDsXF1hmA8+UFFo1DtJ3FixYy2t+dtZPD6W5vQ+9uekb5u7EkVrZKEpYjCZYQ7ZTPtW54DO3G4c9OU3SizNLhdBguNs4A5FcUWDQO0XZS09K4xs+lzlZJ1/q5kpIqWyUJy5EES4h2SqVS0WeaN/Y9bEn98BTVJU3fqb4rcrHtBsD5cun56yqCg4Ioqa6p/beiKGw/lUc/qSknLEgSLCHaMbVWTfC9fihGE2lrZdJ7Y+i1tmhUaoqqSiwdimgjc2JiuKlPdw7lFLEq4QR3fZXALydzmTN3nqVDE12YJFhCtHPWzjqC7vaj4HAJp7ZIAc0rUalU2FvZUywJVpdxQw9nglztWZNZzbL4k5S5+GIwGGSrJGFRkmAJ0QE4B9rjP6E7GduyKTwiicOVOFjZUyIJVpegGKsp2vwRNoNGsO6nPZSWlROfsE+SqzZSWVlJ3759GTp0KEZj06YxVFRUMGXKFAIDAwkLC2PChAmcOHGi3raHDx9mxIgRBAYGMnToUJKTk80QfeuSBEuIDsJ3rDuOvexI+yQTY1nNlQ/owhys7GSIsIso/X0TNfk5OE2cYelQuiRra2tSU1PJzMzkwIEDTT5+1qxZpKWlkZiYyKRJk5g1a1a97R566CFmzZpFeno6zzzzDA888EBLQ291kmAJ0UGo1CqC7vSlprKGI5+flkKal6HX2VJeXW7pMEQrM1WUUrTlE/RDxqHz9Ld0OF2WRqPB09OTxMTEJh1nY2PDxIkTa1d/XnXVVRw7duySdtnZ2SQkJHD33XcDEB0dzfHjxxvs7WovZC9CIToQ625W9LnVh7QPM3BJcMAjspulQ2qXbLQ2VNRUWToM0cqKf9iAqaocx4n3WDoUizAVlGIqMH9BXbWzHWpnu0a3X7VqFcnJyZckWNOmTavduPnPNm7cSI8ePeo89vrrr3PzzTdf0jYjIwNvb2+02gspi0qlws/Pj1OnThEQENDoONuaJFhCdDDuYc7kHSzi2BdZOAfaY+Wgs3RI7Y61xlrqYHVyNYV5lPxowGH0FLTO7pYOxyIqfjxExZd7zH5emylD0E8d1qi2x48fZ+nSpaxYsYJ169bVeW7Dhg2NvuaSJUs4fPgw77zzTr3P/3nbo47Qgy8JlhAdUO+p3uz9Zzo/v76HZzb8lbS0NIKCgoiZG0NUVJSlw7M4W601WcYKS4chWlHhpjWodFY4jL3N0qFYjM2YAViF9zT7eRvbe2UymZgxYwbLly8nPDyc2bNnoyhKbTLU2B6sV155BYPBwLZt29Dr9Ze07dGjB5mZmRiNRrRaLYqikJGRgZ+fXzPvsG1IgiVEB6Sz15Lnm4lTmhcR+uGMGDKWPad+Jzo6mri4uC6fZOnUOqpNUpi1s6o6fYyy3Vtxnvowar29pcOxmKYO5ZnbsmXL6NOnD1OmTAFAp9Nx7NgxevfuDTSuB2v58uWsW7eObdu24ezsXG8bDw8PwsPDWbt2LTNnziQuLo6AgIB2PTwIbTjJvalLLBcsWIBKpeLQoUNtFKFoKYPBQER4KHq9LRHhobLRaiub+85sDmXtZ8bQh7gj8l5emfIvhvgPZ3HsYkuHZlEGg4HPPvuMAwcPEBYRJu/DTkZRFAq/XIXWzRu7kTdZOpwuKykpidWrV/Paa6/VPhYZGdmkie6ZmZk89dRTFBQUMGbMGMLCwhg27I+hyYkTJxIfHw/AypUrWblyJYGBgSxdupT33nvPbPfSWtqsB+viEsuZM2eyYcMGHnjgAXbs2FFv24SEBHbu3Nnuu//EHy7uZh8WbMNt43XsT0+X3pRWlpaWxnG3IwzwCgUuzFEY6j+S9/e8beHILOfi+7D/44NxcnbjmDFL3oedTEXSLioPJ+L6l/moNDIIYykhISGkpKTUeWzLli1NOoevr+9l51Jt2rSp9r+DgoIazBnaqzbpwWrKEsvKykoee+wx3n777UsmtYn2x1RTTWX5eV57ZR5jhuiZ86ATN19rx5wHnRgzVM+br86nvOQcNTIfxuyCgoLYfmRr7R8oRVHYffI3grvw/msLYxfiMtAD1yFe6OytCHlmGC4DPVi0eJGlQxNmoBirKfzq31j3DcMm5CpLhyPEZTUr/U9JSeHzzz9n3rzG7fPUlCWW8+bN4+6776Znz8ZP3HviiSdwdnZm+vTpTJ8+vdHHictTFIWK0rMU5x+jtOAEpYUnKS08RXlJFpXleVSW5VFdWQDA47cCONYeq1KpeOwORyCXTf8OA0CjtcHKphtWti7Y2nujd/RF7+iLnaMfjq59sXfuhVojK+IaK2ZuDNHR0Tzz1V+ZO+FFsgoz2XNyB4YVXXdILC01De+pvWu/nKlUKpwHupP6RaqFIxPmUPLL1xhzs3C9f658ARftXrMSrOTkZBYsWNDoBAsat8Ryx44d7Nmzh6VLlzYpnldffZWIiIgmHdPVGAwGYhctIDUtneCgQGLmzr9kyKS8JIvc07vJP7efwpwkCnIOUVV+/r/PqtA7eGPnHICdkx8uXhFY27pibeuKztqRJ554iury09w9yQ6VSoWiKHy4sQSdbQ/efPN1qioKqKoooLqigMryPMqKT5ObuYOy4kyM/624rdZY4dCtD45uwbh4RuDqPRgnt/51kq7G3EdXERUVRVxcHItjF7N8+yJemPAyG9/dzKSpN1g6NIsJCg4i42AWPjf2qn0fFhzMIbhf1+3V6yxqigso2vIxdiNvQucVYOlwhLiiNhnAbuwSy59++onU1NTa3qvMzExuuOEG3n33XW688ca2CLVTamh+1Ib1HzC4vy05mb+Re3oXpYUnAdA7+uLsPoDeoffj7BGCg0tf7Bx7oNZYNXiN6Q9UEh0dzYkzRsKCdCSmVbM/rQKDYQlevcY3eJyiKFRVnKcoL42i3DQK81IpzEni9OFvMNVUodHa4uIZjof/aJKOKtx61/8RGiTzvC6KiooiKioKRVE4+NYx9Hk9UUwKKnXX/HY/L2Ye0dHR5O3Jwqm/G2lvJXD+YDbvGuqvrSM6jsJvVoNajeONXbOoqOh42iTBauwSy9mzZzN79uzafwcEBPDNN98wYMCAtgiz04pdtICwYBvmPOiESqVi0jUKZ7LtUTJmE5+pwsk9BM+e43DzuQo3n6HY2Hk0+Rp/9KYsZP3WNPoFB2EwzL/ihqsqlQprW1fcfUfg7jui9vEaYyUF2QfJy4on9/RO0va8CVUlfBDrgd5GVXsfsatgcezCLptgXaRSqeh5sxf7XzvKuT35eA5zsXRIFnHxffjSr29QXVSFn86bdw3vyMa/HVzliVTKdv0H52l/RWPneOUDhGgH2mwJxsqVK5k5cyZLlizB0dGRNWvW1D43ceJEFi5cyODBg9sqnC4lL/sIs6L0dealqFTw77gyvvrPEWzszFMF+WJvijlotNa4eg/G1XswgZEPY6qpJnJgN26/3pq+/hd60lQqFfdNsWf9f45iqqnu8vO3HPz1uIU6kfGfbDwinVFru+ZWo1FRUZz0zeZQbirv7X3V0uGIFlJMNRTEvYXOtzd2I2QkQ3QcdRKs8+fPN9SujuLi4iZf6HJLLP93Keb/au8bObZnNcZKTh/5luMHPmT5045UVSu1FXYVReG9L0rQ6IPMlly1NrVGh8q6N59tSWfOg7ra+7DSqXjyHnu+e3cw/iG3ETDgLuydAywdrsX43eBBwsuHObc7H68RrpYOx2KqTNVYXWZIW7R/BoOBxYsWMkhVxKLRgSSHTeZ6tcbSYQnRaHUSLDc3t0atzPjfUviifSkrPs3RxPc5kbSOqvLzuPcYCW73cd9flhLc0/pP86PmWzrcJomZO5/o6GhiV1HnPuLWvYa3x1mOHfiQtD1v4uE3mr6RD9Hdf0yXe5/qPW1wC3Mic1sO3Yd267K9WJXGKqwlweqwLs4bvamvF3OuD+Gnk3nc/dqjxDl27/LTAUTHUSfBWr16dZf7QOosivLSSY9/m1OpcWh1evz730bPQffi6NIXAJXd4CbPj2pvrjTPa+CoGE4f/oYj+97jty/uwtE1mL6RD+MXPPWyE/Q7G7/rPUh4qWv3YlXWVEqC1YEtXrSQ0f7u/OvGgahUKkb7uTDK340lsYskwRIdRp0E684778TKSv4odSSFuSkk//4SZ45uxtbeiwFXz6HnwLvRWdXdn8uc86Ms6XL3cTGx9Ot3K7mnd5Ae/w57//MEKTteJviqJ/Hvfxtqdeev/KzvboPrIEdO/5iL51UuXXJFYYWxEjurSzeNFR1DaloaL18TWGfe6LV+riyL71r1zP5cKV20D439udT5tHFxcWH8+PHcfPPNTJw4EU9Pz1YJTrRcaeEpkne8zKmUOOyc/Ii8fgV+wVFdqqemISqVqnZVYlFeGsk7lpGw9SnS9rxJ/+FP0yNoCipV5x46873Wnf2vHSXvYBFuoU6WDqfNlVSX0r2DzC8UlxoQHESEl1OdeaPbT+XRr4vsUuDm5oZer6/d/US0P3q9Hjc3t8u2qZNgxcXF8e2337J48WJmzZpFREQEkyZN4uabbyY8PLxVgxWNU11ZRPLOZRxNfB9rm26EXfciPQdMl8SqAY6uQVw1aRUF2YdI3vEye757jCMJ/yZ0TCyuXpGWDq/VOPjrcexlx+kfc3Ad5Njlhv5Lq0pxsLKzdBiimV67ZxLdj+1m9o8p9HbWs/1UHr+czMWwYpWlQ2sTfn5+pKSkkJuba+lQRAPc3NyuuF9ynQTrhhtu4IYbbuD1118nKSmJb775hm+++YZFixbRvXt3brrpJm655RbGjh2LjY1NqwYv6lIUhYzUOA78vBBjdSn9r3qSPhGz0OpkGKQxnD0GMGLyGnJP72L/9hi2fzoJv37TGHD1HGztO2dPre8YN5LfO0nxyTIcA7pWslFSXYqdrmvdc2dRnZ2J7+n9nAkIJ+23HL6MT6VfcDCGFas63LzRlvDz87viB7ho3xocJwkJCeHZZ5/ll19+4dy5c7z44osUFhZy99134+rqyqRJk1i5cmVbxtolGAwGIsJD0ettiQgPxWAwUHz+CD9/PpU9m/+Gu+9wrp/xC8HDnpDkqhncfIZx3fTNRIx7mbMnfuA/a0Zz/OBaFEWp97XvyLr1c8DaRUfW740rv9JZKIpCsfRgdUiKolDw+RtonFwZ/LcFxCfso7SsnPiEfV0quRKdQ4MJ1ptvvklhYSFwYW7WPffcw6effkpubi4bN24kMDCQFStWtFmgXcHFpclKRTq3jddBZTofvH4P//nwOipKcxgVvZ5hN61E7+Bt6VA7NJVaQ8+Bd3PDzN/w7TuJhG3/wPCva3l01m21r71ScWEbno6cZKnUKrxGuJKbWEh1qdHS4bSZkupSjCYjzjbOlg5FNFHZzs1UHt5Pt9seR20loySiY1Mp9e26DNjZ2aEoClOmTOEvf/kL1113XVvHdkUJCQlERkayd+/eTrHZc0R4KEpFeu2WNhd/NLtT7Fjy9kHpsWol507+xDdr7kRvU4NOS+1rH7uqEI0+iL0JiZYOsdmqS4zsXpCK/8Tu+I7pGpO+M4pOc/fGR3lt3GLCuss2Wx1FTUEuZ5fOwnbQ1bjc+aSlwxGixRrswcrKymL58uUcPXqUcePG0atXL2JjY8nMzGzL+LqU1LR0QgN1dZYm/55YwZsfn2nXyZXBYCA0IgJbvZ7QiIgO1+vT3f8anl5+nqwcY53XPixIR0pqmoWjaxmdvRa3UEfO7cqnge9SnU5+xYWed2ebrrd6sqNSFIX8DW+hsrLGecqDlg5HCLNoMMFydHTk4YcfZteuXRw4cIDJkyfzxhtv0LNnTyZOnEhcXBzV1dVtGWunN6B/X3y6/7HuQFEUfthdSb/gIAtGdXkXhzUPmhQqbr2dgyalQw6t9ewZyEfflNYmIYqikJNvatevfWN5DOlGeXYlJafKLR1KmzhfkQ9AN0mwOozyhO1UHNpBt+jHUOsdLB2OEGbRqKqLAwYMYMWKFfzjH//gzjvvZPPmzWzevBk3NzceeeQRZs+eja2tbWvH2qmVFmXw7EwrKsus2Li9DFA6xJY28//5Txh9Dcpjj4NKhXLTzfDRBzz7wRr8rh2DtUaNjVpDNysdLlZWqNtpuYD/3YZn+CArgnpacc/N9lh1H2fp0FrMua89Vk5asuPzcfBvvz2h5pJTloe1xgpHK/mg7ghqivMpiHsb2/BrsA292tLhCGE2V0ywFEVh8+bNvPfee3zzzTc4Ozvzj3/8g6lTp7Jp0ybeeOMNDh06RFxcXFvE2ynlnt7Nzo33o7e1A7c5HPz0PVJS28eWNuU1NRwsLORwcSmHS0o4UlLK0ZISzlVWcq6ikrKnZ9c9QKWCe+/jCDDk++11nlID7tbWeNhY08PWlr4O9vSxt6OvvT0hjo742No0WK/JYDCwIDaW9NRUAoODmR8TY9bK9P+7Dc+ab9II6R/A7IcCUfI+Zt8PVoReswC1Rme267UllVpFvkM2+dsLiJwRQq++vYiZa97Xrz3JLs3FXd+4fVWFZSmKQv7nb4BajXP0I5YORwizanCS+9GjR1m9ejUffvghZ86cYfz48Tz44INMnjwZrfaPvOzrr7/mjjvuoKysrM2CvqgzTHI/kfQZCdv+gatXJFfd/C7WtpbbO05RFNKKS9iek0t8fj7x5ws4VFREzX/fIt2trenrYE9vOzu8bW3wsLZm+cKFZJSWwvS7LiRXigL/epMgnZZP16+nssZEeU0NBdXVZFdWkl1RybnKSk6UlnG4pIRjJaVU//f8njbWDO7WjcHdnBnu6sLVbq7otdraYUhVaBhKaBiq/Yko+xOJi4tr9STh2IEPSfwxBjefoQy/eTU6a8dWvV5rMBgMPD3rWT6818BPh7/n60Ofs/vE723y+lnC/F9eoqiymBXjFlk6FHEFZXt/5PxH/8Rl5hz0YaMsHY4QZtVggqVWq/Hx8eG+++7jgQcewN/fv94TpKen89BDD/Hjjz+2aqD16cgJlqIopO5aQfKOlwkYcCfh173YKtXYr9Tzk1dZybdZ59iWnc3353I4U1GBVqVioJMjkd2cGdytGxHdnAlysMdRd2kPTm3yMygUJSwcVeI+lAP7MRgMjep5M5pMnCor50BhIfH5BezNLyD+fD65VVVYqdUMd3UhNW4D544chvv+UpvEqRYvZJBWQ+LevWZ9veqTk7mDHV/fh97Bh5FTP+5whUkjwiPQFdjyypR/1a6QfOqLh6lxqWRvQuu/fm3tkS3P4Ofow3PD/27pUMRl1BTmcfafD2ETFInrjOcsHY4QZtdggrVx40Zuuukm1Or2u2dbR02wFMXE/u3zOJr4Hv1HPEPw0CdaZTijoZ6f9zbEURUWTlzmaX7MycWkKIQ5OzHWw52x3T0Y5eaKnbbxmyIbDAYWLl5MWkoqQf0uJHEtGdZUFIWU4mK+P5fD99k5fHXkKOj/NHfom6+x+Xw95WWlzb5OUxTlpvHrF3eiUqkYOfUTHF0D2+S65mCnt+O+IY9yR+S9tY99uvdD3t/zNqVt9Pq1pckb7mVq0ERmDrzD0qGIBiiKQu7KuVSfOUr3Z1eiset4PcNCXEmDCVZH0BETLJPJSPyWx8lI/ZLw616kV+iMVrtWaEQEB00KyvNz/xi+O5wOffqi0WgY4+5GtK8PU3y88GzHWx8NiozkYA9/uPPuC/cBkJ+P54FE4l/+Jz5ttMCirPgMv31xFxVl2YyetgEnt35tct2W6ko9WKXVZUxcP52YEf/H+J7XWjoc0YCS3zdRsP51XGctxLb/UEuHI0SraL/dU52QyWRkz+a/kZm+kWE3rWzV5AogPTUVZeiwP5ISlQo8PNCu+YBzN9/I1muu5uHePdt1cgXwwpw58NUXqBYvhG++hg/fh8QE8q8Zg983m5n06+9sOXuu1es86R28GX1rHHoHb37+PJqCnKRWvZ65xMyNYfeJ33nqi4cprSrll6M/sOfkDmLmxlg6NLMyGAyMuvkaAGY/9kyHKxXSVVTnnKbwy5XYDb9RkivRqUmC1UYUUw3xW/7O6fSNDJv4Dr6BN7fq9ZKLirB98h9w3bgLPVdwYe7Sm68Tcu4MrtbWrXp9c7q4wm+QVoPN5+sJPXMaw/ixZE+ZxL8iw8gqr2TCL78TtvUHPjp5imqTqdVisbZ1YVT0evSOvvyy4VYKsg+12rXM5eLrV+NSyU9HthLk3b/Rc+Q6iovD4fkOJQBk5J3ukPXYOjulxsj5j15C4+iK05RZlg5HiFYlQ4RtQFFM7P3Pk5xK2cDQif9q1eQqqbCIuUnJfHE6CxcUzn/0IZzNgn79mzwBvaNQFIWfcnJ5Oe0wm86eo4etLXP7B3FfgD/aVppDWFVRwK+GOygryuSa27/GoVuvVrmOueUeKCT1g1MMnhOEjav5F1VYSlhEGBnGLEKeGVY7DJr00i78dN7s27vP0uGJ/yr87iOKt67D/fHlWAcEWzocIVqV9GC1gUO/vsjJ5M8YPOH1VkuuTpSWMmN3PAP/8z2JBYWsHhxBVvQU4mbeS2iNEZvP1zNIq+l0yRVc2NbmWg93vh01goPXj2Wkmyuz9ibSf8s21mdkYmqF7xBWNs6MnPoxVrbd+NVwB+UlZ81+jdbgHGiPSg35qcWWDsWs0lLTcB7oXmerI+eB7qSmpFo4MmEwGIgMD2N0z+4UbF5LZo9wSa5ElyAJVis7kria9Pg3GXTNC/gFm7/mUKnRyHMHkwj8bitbzmbzRngoqRPGc19Pf6zUaqKiokjcu5fyslIS9+7tdMnVnw1wcmTdVUNIGDeGPvb23L5zD1d9/xPx5/PNfi1rW1eunroOxVTDr4bpVFUUmP0a5qa10eDgr6fwSOdaPRgUHETBwZw6Wx0VHMwhuJ98kFvSxaFbj5JzrJwwkCPnS7n6qRdl6FZ0CZJgtaLTRzax/8cY+kTMom/EQ2Y9t6IoxGWept/mbbyafoQ5/YI4OvF6HuvTC6t2XFqjrYR3c2bTqBH8dO0oKk01DP1+O4/sTeR8VZVZr6N39OXqqE8oLznLrm8fwmQymvX8rcGxlx2Fx0o71ebP82LmkZ+cg1KjUJCUS9JLuzh/MJt5MfMsHVqXtnjRQkb7u7Nq4iAcrLUEutgxws+VJbFSBFZ0fvJJ3EoKc1PY891f8el7E4NGm3cvwTPl5Uz6dQfTduwmzNmJpBvGMT+kX5NqV7UGg8FAZFg4dno9kWHh7eJb6mh3N/aOG8OrYYP45FQGQd9tZX1Gplmv4egaxFWT/k1Oxm8c+OkFs567NTj1sqO62EhFjnmTTUuKiorinU//jVqrJuvb4/jpvDvlcHhHk5qWxqxwvzpDt9f6uZKSKkO3ovOTBMtMDAYDEeGh6PW2jBg2kG3rbsPeuSeDb3gNlco8L7OiKKw7lcGALd+zr6CQr0ZexddXD6eXvZ1Zzt8SF4cCnHIreS5kAk65le1mFZdWrebxvr1Ju3E813q4cfvOPUzfuYfzVVUYDAZCIyKw1esJjYhodrweflcTOiaWo4nvEbfmqdr3QkR4aLt4Df6XQ089qKDwaOcaJgyI7A3AsT2H2bd3nyRX7cD48BCu8nGpM3S7/VQe/YJl6FZ0fpJgmcHF5EKpSOe28TqmjMyiuDCbQqvb0er0Vz5BIxRUVXHHzj3cuSueGzy7c+iGsdzi7WWWc5vD4oWLGOPTj8+ve4RH+1/H59c9wrXewSxZFGvp0Gp52tiw/qqhfDxsMJvPnqPPV98QvWAhB00KFbfezkGT0qKksHfoTLC/mursj/G0P8pt43UoFentJtG8SGujwc7bhuJTbb9/aGs6fP4Y3vae2FtZ/guHAFNVBS9d05cTBaXc980+ViWc4K6vEvjlZC5z5srQrej8pEyDGUSEh6JUpDPnQafaJeIff1vKqfze7E1IbPH5EwsKiP59N+erqngnMozbe/i2POgmUhQFpaicmpxCTDlFmHKKMeUVYyqpQCmrJOHXnfjZueBs/UdCWVhVTlZ5AQOGRKDSW6PSW6N2tkPt5oDa3RGNuyNqd0dUWk2b38/p8nKCX3+Lkp7/La9gpj0OB0cO4t7rs/B219S+F2JXFaLRB5nlvWAuhz/LpCSznPCn+lo6FLN5YlsMDlb2LBo929KhCOD8uuWUJ/zE/kG3MG/Fm6SkptIvOJg5c+dJ76LoEiw7aaeTSE270HP1v/MMnOxVpOxIa/G5Vx8/wWMJ++nv6Mi2a0bS065tvp2bisowpp3BeCKHmpM5GE/moBSV1z6vsrNG7eaIysEGtb0Np0zFHMvKZrJ/eG1ise10MmoHGwa5O6KUVmLKLcJ4OAtTXjGY/pvXa9VofFzR+ruj8XdD28cTjZ8bqlaeqO9ja0v1wvnwXAwE/Xe4QqVCCQsn7fP1zT5vcsphUvtY4eOh/+8pVYQF6Vi/teXvBXOy72FL9p58TNUm1LqO35FdY6ohNe8w9w64zdKhCKB091bKdv2HbtOfZOKw65l4zwOWDkmINicJlhkEBwWSejydSdcotclFYlo1/YKDGn0Og8HAgthY0lNTCQwOJmZODD/36s2bR47xYM8AXg8fhI2m+T09BoOBxQsXkZqeRnBgEHPmzSUq6o+yEUqVkeqkDKqTMzEmZ1CTeR4AlbMdWn83rMcMQNvDFXV3ZzTujqhs6xaptPcqIzo6mo+8dzDWux/fn0lh+5lUDAYD9lPH12mr1JgwnS/BlFtETWYexpO5GE9kU/lbKtSYUNlZow32QdffF90gfzQeTo2+j6YICgri4Ib1dfdqzMwgqAVL+4ODAtlxIJ3rhtk2+73QFux72KKYoPRMBQ7+5hnGtqQThRmUGyvo59ZxNuHurKrPHKfg8zfRD70eu2HXWzocISxGEiwziJk7n+0b7qeyCn7dV8aO/VXsT6vAYGjc6sGLc7hUoWEot97OgeQkbtsTj9oEKyPDmdWrZ4viu3j+MT79eC5kAj9kpRIdHc0Xn33OxJ5hVO05SlXiCaisRu3qgLa/LzY3RaLr54O6m32jrnFxO5Yli2J5MWkz/YKCMbxZ/youlUaN5r9DhLp+fwx3KtU1GI+epTolE2NyJmWf/Aof/YzG3x2rIb3Znn+M6Bm3X3IfcXFxzUqy5sfEXHjdFy9EuWoEDBwE98wkyqH5vYQxc+cTHR1N7CqYcYsd3V21nD5XxarV5l1J2lJ2njaggtKszpFgpeSlo1apCXLpY+lQujRTRRl5HyxG6+aF87RHLR2OEBYlc7DM4Ozx7/nty7vZ+Jsj6zedol9wEDFz5zd6nkFoRAQHTUrdnpSqKnp+GcexDZ+3OL7IsHCcciv5/LpHantVvj+TwkjPvthqdGj83LAa0gerwb1ReznXDnVamlJRRfWBU1TtOXIhAawycrjwHH0cPWrvY9r3b1PsYUv8voRmXcNgMLBw8WLSUlLpEzoIzVPPkIyKdwdHcG+AX7PPuTh2ISeOp/HKUy44ugYS9fAP7eZ1vSj+xTRc+jvQa7K3pUNpsZd2vkFK3mHev+l1S4fSZSmKwvkPFlORmoDHU6+j82j7uaJCtCfSg9VC1VUlJHz/DB5+o3n/iU/5oBkfoumpqSi33n4huYIL/79zB1mbNpklxtT0NGIGTKwzR2yYRy/eTv2Rhd9+iKa7s1muY24qGyushvbBamgflMpqbhtwNc8Pqnsf0QGRPLuv+Sv0oqKi6vR+VZtMPJKQyIw9eyk2GnmsT9P3GPzfc15Mvk8c+oSeA+9qdpytQe9hTfm5SkuHYRb7s5MZ4hVm6TC6tJLtBsr3/4rrfTGSXAmBlGlosaTfXqSqooCIca80u4ciMDgYTpy40HMFF1az/fJTi+YCXaRUVBEzMppbew2pU4vm/p9Ws8WU2W6Tqz9TWes4ZlfFU7s+q3Mfd/Qextrxj2A8mWOW6+jUav4dGc6TgX346779rEg/0qLzefYci3//2zn4yyIqy3LNEqO56LvbUHa24ydYeeXnySw+wyCPEEuH0mVVHjlA4cb3sL/uVmxDr7Z0OEK0C9KD1QIFOUkc3f8BA0fNxc6pR7PP89CcGB7LzoX885CQgGrn7ygH9jO/BbWTlCojFVsSqfhuHw/6DOOT9B3szDlKf2fvPyagv9l+ajM1xpx5c4mOjmba928z1rsfP59Nx9vWmcVj76Jo3mfoQv2xvXU42h5uLbqOSqXilUEDsFareXL/QapMJp4Nbv7k6YGjYjhzdDOHfnuRyPHLWhSbOdl6WFFZUI3JaEKt7bjftfZnJwMQ6tHfwpF0Tcb8HPI+WIJ174E43TTT0uEI0W503L+qFqYoCge2z8OhWy/6hDV/CXJWeQWv2Nrh7eZG/08+wuajNQzSapq9zYdiUqj8LY3CZ9dS/sVurIYH0m3ZDHyfjibdvooXkzZT7GHbIbcRuTiRvtjDlheTNnPezYrJ/3wK7zcfwu6h8dScLaBo7meUrv4BU0HLqpSrVCoWD+jP/P7BzD6YxL+OHmv2uaz1boSMeJYTh9Zx/uy+FsVlTtbdLqwErcyvtnAkLbP/3CF8HbxxtXWxdChdjlJdRd7qhah0VrjMeA5VC1Y6C9HZSA9WM5058i05mb8zcuonqDW6Zp0jv6qKG375jWqTwo6bJuB3a/PKDVxkPJ5N6Zrt1BzPRje4Nw63Da8dAvzzXKOOqqH7sB4RhNXQPlT+eIjyL/dQufMwtrcMxmZCWLMLmapUKub3D6aguprHEvbjamXFbc0s8tpz0D0cP/Qx+3+M4do7vmkXE95tXC4kWBXnq7B1t7ZwNM0Xf3Y/EZ6DLB1Gl6MoCvnrX6f67Ek8Hl+Gxt7Z0iEJ0a5ID1YzmGqqOPDzIjx7jsMzYEyzzlFeU8PNv+7gdHk5W0aPwE/f/KXySmU1ZZ/+RtGCz6HGhMOcKBz+dmOHmV9lLiqtBpvxoTi9dA82Y0Ioj9tJ0YLPMR4/1/xzqlQsDx3IXX49uHtXPNvOZTfrPGq1lkGjX+D82QTOHP2u2fGYk5WTFlRQeb7j9mCdLckms/gMQzzDLB1Kl1Py81eU7dlGt9v/jlWPzrMjgBDmIglWM5xI+pSyogwGXh3TrOMVReEv8QkkFBTy7dUj6O/o2OxYqlNPUzhnHRXbDmB761U4zr8VXWDHX3bfEmo7a/TTr8Zx/q0AFC3YQNmnv6FU1zTvfCoVq4dEMLa7B9N27CatuLhZ5/HwuxoPv9Ek/fZPFFPzYjGnL7/+ksKKfOY/u4CI8OZvdG1J8WcTUavUhHsOtHQoXUpF6l4Kv1yF/Zho7AaPtXQ4QrRLkmA1UY2xgtRdr9EjaAqObs2rzv1y2mE+OZXJ+0MiuMq1efNGlBoTZYZdFC/9ArWLPU6x07G9KdIi+/q1V9oADxzn34rttKuo2LqfokUbqDlb0Kxz6dRqPr1qCF421tzy604KqqqadZ6Qkc9RfD6dUylxzTreXC4Wny0pL+Eqv6vRFdi2u02pG2N31j6CXfrgYNW4grii5aqzM8lb8yI2wZE43Xy/pcMRot2SBKuJjh/8mPLSs/S76slmHb8p6yyzDybxfHBgszdtNp0vofifX1LxdTy2U4fhMHsKGk/nZp2rs1NpNdhOisRx3q0oFVUUzv+Myt+aty+gk07H1yOHk11ZyfRd8dQ0o0avi2cY3n0mkrJruUV7sWIXxTI0YATeTr709QjmlSn/Yoj/cBbHLrZYTE1VXVNNfFYiV/kMtnQoXYaprJi8d19A49ANl3tno1LLFzohGiIJVhOYaqpJj38bv+AoHJqxJcepsjLu2hXPTV6eLBrQvCXl1elZFM77DFNOEQ7PTcV28pBW3xi5M9D6u+O04HasInpRumorpR/+hFJjavJ5+jrYs374UP5z9hxLUpqXqAUPfZzSwpOcPvxts443h7S0NIb4jahTtHWo/0hSU1MtFlNTHcxJobS6jOE+QywdSqdmMBiIDA/DyU7Pd4/cQsX5HFwffAG1bdtsPC9ERyWfzE2Qmf415SVnCBzc9D22jCYTd+2Kx0Gr5cOhkaibsYqs8tdUiv/5BRqfbjguvB1dUNeea9VUKlsr7B8aj37mtVRuT6J4+UZMpU0vtDm+uwdz+wfzQlIKv+XmNfn4bt1Dce8xirT4N7HUTlVBQUHsOfV7naKtu0/+RnBwy4vbtjaDwUBYRBjTZ9+LqdjIwR/bT+mLzubiULJ9/hk2TAknxEnH9E9/YeMvuywdmhDtniRYjaQoCocT3sHD/xqc3Po1+fjYlDR+z83jk6sG083K6rJtDQYDkWHh2On1RIaFY4iLo+zzHZT+exvWI4Jx+Mdk1A62zb2VLs9mzAAcnr6FmuPZFC3awKaP1td9vRsxDymmXxAj3Fy5c9ce8psxHytoyGMUZB8k+9QvzbmFFouZG8PuE7+zLe07SitLeOqLh9lzcgcxc5u3cKOtXPzAzzBm4TbCm4KjeUybNq3DzR3rKBYvWshof3fWTg6nn7sDGpUKnVbDkthFlg5NiHZPEqxGys3cQUH2IQIjH27ysTvzzrMoOZX5If242u3yVcYvfoA45VbyXMgEuuVWcWpZHBXf7MX29hHo7x8jE9nNQNffF8d50ygpKiLg68OElOt5LmQCTrmVjZrsrVWr+XjYYIqqjdzy9TeERkRgq9cTGtG41XgefqNxcuvP0f2rzXVLTXKxaGuFVSlGk5Eal8oOUXx2YexCXAZ6EPLMMLR2OrqFeuAy0INFi+UDvzWkpqUxY6BvnaHka/1cSelAQ8lCWIpKsdQYhRkkJCQQGRnJ3r17iYiIaNVr7fr2YQpzkxl/709NKhJZZTIRvvUH9BoNO667Bu0V5ktFhoXjlFvJ59c9gkqlQlEUTCgsz/yVF39Y39LbEH8ydvBwXvGbgJ+9S+3rPe37tyn2sCV+X8IVj39ig4HXFBV8tg7s7FDtT0TZn0hcXNwVC7se27+GxB/nMOGB3egdLDPce+aXXI5/fZaRLw+wyPWbylZvi/fU3vhO7F37WOamo5z54ijlZeUWjKxzmj56CLGDumGlUdX+ftz1VQJlLr7EJ8jQrBCXIz1YjVBZfp4zR78jYMCdTa7AvTQ1nfTiEt4bHHHF5AogNT2N67yC63xj3JqZxOs7v2lW7OLydibvZ9vppDqv91jvfqSkNe4b+g9LYuHoEbjtDph0C8rzc1ENCmXh4iuvxusRHIVaa82JQ+tadA8todapUWoUFFPH+J4VFBxEwcGcOnPHCg7mEGyGjdFFXcbcLJYM8+VAdiEzN+5jVcIJ7voqgV9O5jJn7jxLhydEuycJViOcSolDURT8+01r0nEpRUXEJqfybHAgg5ydGnVMcGAQP2al1vkA+Xfaz/TrAJOPO6LgwCC+O32ozuudXniu0a/34dRUOHEcLibeKhVKWDhpKVdO0HTWDvgFR3Hi0McWK9mgUl+Iu6P0Y8+LmUdFfjkqlYrc+CySXtrF+YPZzIuRD3xzqikpJHdlDLZO3dBE/51CZx+WxZ+kzMW3QwwlC9EeSILVAIPBQER4KHq9LVu/XIBiMwBr/eXnT/0vRVH4e+JB/O30xPRrfEHSOXNjGO/dHwXYknmIad+/zfYzqcyZO7cZdyGuZM68ufx4OoVp37/Nu6k/c7Ikj2dDb2Thk8816vjA4GBUO3f8kaEoCqrEfQQ1skclIGQ65SVZRN00AL3elojw0DadsK26+Begg2RYUVFRPPzK31Aqajj+7iH8dN7ygW9mpqoK8v49H1N5KW4Px3LL7XcSn7CP0rJy4hP2yWstRCNJglWPixPNlYp07p9sRfduNbz4+g9X/OAzGAy1k5173XY7W89l88qgAdg0YYf5G3X+zOp3LW+c/p2/7PiQYg9b+QBpRRcnexd72LLg4DfMztiKs5srIw5UYCq+8pye+TExKPsT4cVYKCmBE8dRDuxnfkzjVuP9+PtxzuUZ6d/jHLeN16FUpLdtRfX/drwpTS8JZhEmxUSmdTa3DJhIWXEZ+/bKB745KTU1nP/wn1RnHcdt1gK0blIKRojmkknu9YgID0WpSGfOg061EztffLcQbILYm5BY7zEXkzJVaBhKWDgMuwrOnmXDoAFER19+svNFVXuOUPLmZmynDsV2ylCz3Y9omprsQooWbkDj44LDP2654qpNg8HAwsWLSba2pfr/nuI5NSyJbtyHfkR4KNcOPMWIMOva91rsqkI0+obfa+aUvbeA9I8zGP5iCBrr9v9960B2Mn/b+hyvj1tCaPcQS4fTqSiKQv5nr1K2eyuuf3kB2/7yN0iIlmj/f1EtIDUtndBAXZ2JzwP76khJbbhy94LY2AvJ1fNz4aabwdUNdvzGoiWN23rEeCqXkn9/j9WwvthMlsrUlqTxcML+bzdiPJxF2bpfr9g+KiqKxL17qfztF8Z6uGOws2/0NjqpaelUG0113mthQZd/r5nTxWr2am3TC99awpbjP+Khd2OgR9Nr0YnLK/r2A8p2bqHbHU9KciWEGUiCVY/goED2p1fXmficmFZNv+CG51Klp6aihIbVmeyMl3ejJjubSsopee1bNN2dsHvguiavVBTmpwvyRn/PaCq3HaRie1KjjlGpVLw4MIS04hLWZ2Q26pjgoEB+3VfVpPeaOZmqFVCDStP+33Plxgp+OPELN/Yei1olf7rMqXj7FxRv+wynyQ9iN3ScpcMRolOQv1L1iJk7n8TUCrbuqKDGpLB0dSH70yqImTu/wWMCg4NR7U9s8mRnRVEofe8HlIpq7P8+EZW1zox3IlrCZswArMeEULb2Z4yZjdsSZ4hLN2707E5sShqmRvRiXXyv7TlURVmFidhVV36vmZPJqKDWdow/Az+f2kGZsZwbe421dCidSumu/1D45Ursr7sVhzHRlg5HiE6jY/xlbWMXJz739nci+agRxSroihPN58fEoBw6CIUFcOY0qsULGzXZuXJ7EtUJx7F74Do0bo5mvhPRUvo7R6HxcKL0nf+gVBkbdczc/kEkFxVjOH3mim0vvteOnuuO3kZNd6/ebbqowVRtQq1r/71XAJuObSO8+0C87LtbOpROo3z/r+R/+ip2w2/E6eb7LR2OEJ2KJFgNmHzLjfT1U3PnA7HsTUi84gdeVFQUT3y6Hpy7YfX2WwzSaq74QVlzJp+yT37FekwIVhG9zH0LwgxUVlrsHr6emqx8yj7f0ahjhru6Ms7DnaWp6Y3azDkqKorPvtqHRmvLGy8/1qar4ozlNWht2v/WS6eKMkk8d4ibesvwlblUpCWQ9+E/sQ29Gudb/ypTE4QwM0mwGpB7eg+mmgq6+1/b6GN2ubhynYc7lWkpJO7de9kPSsVkomTVVtSu9uinX22GiEVr0fq5ob9tBJX/2U91SuPmVj0R2Ie9+QXsPp/fqPYarQ2u3kPIPb2zJaE2mbG8Bq2+/SdYXx/ejJO1I9f4jbR0KJ1C5dFD5L23AJvAMFzu/gcqdft/DwjR0UiC1YC8M3uwsumGo2vjJhvvzc9nR955/tancT1RlT8couZ4NnYPjJV5Vx2A9fhQtH08KV2zHaX6ylXXJ3h2p5edHW8eOdboa7h6DyX39G6UNixKZSyvQWvbvj9cK4yVfHfsB27qPQ4rjfyutFTVyTRyV83Dyj8Y1/tiUGnlNRWiNUiC1YDzWfG4eEU0utv8rSPH8NPbMsnL84ptTfkllG/YifW1Iej6erU0VNEGVGoV+vvGYMouomLTlTeB1qhUPNq7J59lZHKuoqJR13DzGUp1ZQHFeYdbGm6jGUvbfw/W9yd+prSqjFv6TrB0KB1eVeZRct6Zg87LH9e/vIDKytrSIQnRaUmCVQ9FMXH+bAIuXpGNal9iNPJZxmlm9erZqA2dy9b9BjoNtrcNb2moog1pfV2xmRBG+cZ4as4VXrH9fT39UalUfHwqo1Hnd/GKRKXSkHtmV0tDbbSqIiNWjto2u15TKYrChrSNDPcZLJPbm8FgMBAZHoad3paoqwdz+tUn0bp54fZQLGprW0uHJ0SnJglWPYrPH6G6sghXr8GNav/l6TOU1dRwt1+PK7Y1HjlL1a7D6G8fgdrOpqWhijZmO3kIagdbyjdcecK7i5UVk7w8WXuycQmWVqfHwaUvBTmNq7tlDlWF1Vg5td8hor1n93Os4CS3Bt9i6VA6nIu7S9jnnyH26j4sGuhE6pkcdvoOR21rZ+nwhOj0JMGqR1HuheKgTu6N24rj41OZXO3mir+d/rLtFEWhbP3vaHq4YjWicZsBi/ZFZa3DdupQqnYfwXg8+4rt7/LzZV9BIclFRY06v5N7fwpzklsaZqMYK2qoqTRh3Y4TrM9Tv6ZPt56Edx9o6VA6nMWLFjLa3521k8O5tb8PjlZa3thzjEX/fNnSoQnRJUiCVY/CvFRs9B5Y27pcse25igq2nstuVO9V9YGTGNPOYHvrcFRqWRLdUVldHYzG26VRZRsmennirNPxcSN7sZzcQyjKTWmTie5VhdUA7bYH60ThKXae2cu0oJulhEAzpKalMTmwe51tmAZ7OZOSeuXdJYQQLScJVj2K8tJwaOTqwW+yzqIoCtG+l991XlEUyjfsRBvkjW6QvznCFBaiUquxvfUqjEkZVyzbYKPRMMXHiy/PZDXq3E5u/TBWl1Ja2LiErLkMBgMP3/UoAFPuvAWDwdCq12uOT5IMuNu6Mi5gtKVD6ZCuDw/hht4edbZh2n4qj37B0nsuRFuQBKseRXlpOLoGNqrtt1lnucrVBTfrS1fjGAwGIsPCsdPreWjUzdScysV2ylD5Nt4J6MJ7ovFz48Tq72p/xpFh4fUmKjd5eZJcVMyJ0tIrntehWx8ASguPmz3miy7Ozemu8sVoMlKWXUF0dHS7SrLOlmSz7cTP3NZvMjopzdBkVaePsXyELxmF5Tz83X5WJZzgrq8S+OVkLnPmzrN0eEJ0CZJg/YmimCgrysTeOeCKbStrath6Loeb6inNcPFDzCm3kudCJjDdOYTEvFNsTGm7FWKi9ahUKg66GXHNrmRguR3PhUzAKbey3kRlfHcPtCoV32adu+J5bR28UKk0lBacbK3QiV0Uy9CAEdwyYBpatZZXpvyLIf7DWRy7uNWu2VSfpnyJnU7PpD7XWzqUDqfqVDo5bz2DvrsvVZP/yjl7L5bFn6TMxbdNt2ESoquTBOtPKsvyMNVUonf0vWLbX3PzKDEa602wFi9cxBiffnx+3SM82v86Ql178MOZFJa0ow8x0TJPvr+cnIpilg27nUf7X8fn1z3Ctd7BLFkUW6edk07HaHc3vs06e8VzqtVa9I6+lBa13hBhWloaQ/xG1JmbM9R/JKntYG6OwWAgfFQkcYe+Jnt7Bps3fmfpkDqUyuPJ5Lw9G527L+6PLuWW2+8kPmEfpWXlxCfsk+RKiDYkCdaflBWfBkDv4HPFtj/m5OJubcUgp0s3aU5NT+M6r+A6w4G2GitS0iz/ISbMIyk9lfSCs3USlbHe/er9GY/v7s4vuXkYTVeevK539KO08JTZ470oKCiIPad+rzM3Z/fJ3wi28Nyci72+VYM1oIJjuw+3u6HL9qwiPZHcfz2Pzqc3bo8sQa23t3RIQnRpkmD9SXnxhUnLtg6Xn7QO8FtuHle7udY7pyo4MIgfslLrfIhtO5MsE0w7keDAIP6d9nOdn/H3Z1Lq/Rkbk5IoMRqx6x9CaETEZZMGWzsPKsuuXAKiuWLmxnAkOw2VSsWvR7fz1BcPs+fkDmLmxrTaNRtjYexCPIb74BrpiVqnod/fB+My0INFixdZNK6OoPzQDnJXzcWqZ3/cZi1CbXP5kjFCiNYnCdafVJbloVJpsLK5fImGapOJXefzudrNtd7n58yby4+nU3gr+QcUReHhXz9k+5lU5syd2xphCwuYM28uG08msiP7KHkVJUz7/u16f8YGg4G50+8Ao5Gq26dz0KRctmfGSu9KZfn5Vos7KiqKNa+vBeDdXW9Q41LZLubmpKWm4XtTnzo9gs4D3UlNkV7fyynb+yN5qxdh238obg++gNpaChgL0R5IgvUnVZWF6Kwdr7jSb19BAeU1NYx0rT/BioqKIi4ujmsCQvjl3GGOO9W0iw8xYT4Xf8bflB7F1cYeT//6JxEviI1F1T8ENBoYMBDl+bmoBoWycHH98/GsbV2oasUECyAsIBKNtZrDZ9LYm7C3Xbwvg4eGoO/hUKdHsOBgDsH9pNe3ISW/buT82pfQR16Hy4znUWmtLB2SEOK/2u8mZBZSXVGIzsb5iu325ReiUakIc3ZqsM3ka8ZT+NUZ7J68hykjXjdjlKK9iIqKYuqUKRT83we8+9d52E0ddUmb9NRUlFtvh4tJu0qFEhZO2ufr6z2nlY0LlRX5KIoJlap1vgMVnyrD3te2XRW8HfLwKA7kJnPk/QM4BbtScDCH8wezedfwjqVDa3cURaFo81qKt3yM/TVTcZr8IKpG7IMqhGg78hv5J1WVhVhZN5w0XXSwsIggB3usNZoG21QnHAeNGl1YgBkjFO2NSq3GKrwn1QnHa3tf/ldgcDCq/Ylw8TlFQZW4j6AGemZ0VvagmKgxVrRKvIqiUHSiDIeA9jNP50j+cdJrjnOjx7X0wJMzXxzFT+ctvb71UEw1FMS9TfGWj3G8aSZOU2ZJciVEO9Smv5WHDx9mxIgRBAYGMnToUJKT6+65VlFRwZQpUwgMDCQsLIwJEyZw4sSJNonNYDAQER7K2o/eJ3F/Ur3zYwwGA6EREdjq9Xzwww84F19+f7mqhGNo+/mg1l9ahFR0LrqIXphyiqjJzLvkufkxMSj7E+GD9y488N4qlAP7mR9T/6Ty3fH7APDydCMiPNTsq+gq86upLja2mwRLURTe2fcBPg5ezJn2D/bt3Ud5WTn79kpZgT9Tqqs4v+ZFSn/7FufbHsdx/B1SuFiIdqpNE6yHHnqIWbNmkZ6ezjPPPMMDDzxwSZtZs2aRlpZGYmIikyZNYtasWa0e18Xl4UpFOj291ZiMZZdMQr7Y5qBJoeLW2yl19+D3Tz9t8MPPVFqBMe0MVhG9Wj1+YXm6fr5go7vQa/knF+dqDci/MK+qh6dXgz0zBoOBJUteunDcdTqUinSzlyooOl4GgKN/+0iwdp3Zy56sRB4Jn4lWLbMWGmIqKyHnnTmUJ+/G9b4Y7EdMtHRIQojLUCn1jWm0guzsbAIDA8nNzUWr1aIoCl5eXuzcuZOAgIB6j4mPj+eOO+7gyJEj9T6fkJBAZGQke/fuJSIiotmxRYSHolSkM+dBJ1QqFYqiELuqEI0+iL0JiQCERkRw0KSgPD/3j7k0hg2EpqeSuHfvJeesij9KyRvf4bR8BhpXh2bHJjqO4je+Qykqw3FOdINtvDd+x196+rNwQP96n48ID8Xf5Rh3T7pQw6i+92JLHf4sk+KTZUQ807jtoFqT0WTkvm8fx9XWhRVjF0lvTAOMBTnkrpxLTWEubn9ZgHWvEEuHJIS4gjbrwcrIyMDb2xut9sI3VJVKhZ+fH6dONVxQ8fXXX+fmm2++4rmfeOIJbrnlFtatW9es2FLT0gkN1NVZHh4WpCMlNa22TXpqKkpo2B/JFYBHd9IaWEJenXYGtbujJFddiC7YG+OxcyhVxgbb+OltySgvb/D51LR0evv+Ma+vvvdiSyiKQkF6CU5920cRyi/TvyOj6Ax/jXxAkqsGVJ0+RvaKJ1AqyvB4fLkkV0J0EG06RPjnP6CX6zxbsmQJhw8fZnEDS9n/16uvvsrXX3/N9OnTmxVXcFAg+9Or6ywPT0yrpl9wUG2bSyYqA+zd0+BEZWPaGbRBVy5WKjoPbZAPGE0YjzW856CfXk9GWcMJVnBQIMfP1NT+u773YktU5FVRmV+Nc6DlE6z8igLeP7COm/qMp0+3npYOp90wGAxEhodhp7flL9cNJWv539E4dMPjiRXoPP0sHZ4QopHaLMHq0aMHmZmZGI0Xvt0rikJGRgZ+fpf+wXjllVcwGAx899136PWtP08kZu58ElMriF1VSOY5IyezatifVkHM3Pm1bS5OVFYtXggH9oPJBL//Xu9EZVNZJTWnctBJgtWlaHxdUOmtMaadabBND73tZROsmLnzOZVVDcCW30qJXVV4yXuxJQrSS0ANTr3tzHK+lnhn3xrUKjUPht5j6VDajYtzPe3zz/DvG0KYO6AbPx45zQ7/UWic6q+5J4Ron9oswfLw8CA8PJy1ay9UkI6LiyMgIOCS+VfLly9n3bp1bN26FWdn5zaJ7eIkZI0+iCMZNeisbC6ZhHyxzSCtBu2Rw2jLSjHEbah3onLNiRxQQNvn0k2gReelUqvR9u5+2R4sTxtrsisrG3w+KiqK2c8+DYDhByMafZBZSxWcTy7GsacdWpuGy4u0hQPZyWw+9gMPht2Ds82le3l2VYsXLeQaf3fWTg5ntL8bahV8cCCD2BeXWjo0IUQTtemSnZUrVzJz5kyWLFmCo6Mja9asqX1u4sSJPP/88zz11FP06tWLMWPGAGBtbc2uXbtaPbaoqCiioqJI/HEOOZk7GF/PB9rFNk/tP8i3WWeZOmF8veeqycwDnQZ1d+dWjlq0N5oeblTtPtzg845aHUXVF4ajG5pzFBkxkL3/geycAtQa81Xmrqk0UZBeQsDE7mY7Z3MYTUZW7HmHYNe+3NR7nEVjaW9OHj3MF1ERdeaDju7hyrJ42S5IiI6mTROsoKAgduzYUe9zmzZtAi4/L6st6KwcMFZevr5VUXU1jlpdg8/XZOSh8XZBpZHif12NxtcV06YETGWV9dY/c9LpMAElRiMOuvrfQ1UV+Wh1dmZNrgAK0otRjAouIZbtMVqX/AUnCzN4Z8IyNGrL9qS1J8b8bAy3XoWnjbo2AVcUhe2n8mSTeCE6ICk68yfWejcqy/Mu28NQWG3ESdfwS2fMyEXTQ+ZLdEUXf+41medRB3pd8rzjf983hdWXT7CsbLuZPba8Q0XYelhj6265wrcZRaf58OBn3NZvCoEuUiPuosrjyeStXoSPmwuT3tuMu70N1/q5sv1UHr+czMWwYpWlQxRCNJF0sfyJtd6NGmMFNdVlDbapqKnB9jJb5JjOFaLxMv8HpGj/NJ7OAJjO5tf7vP6/75vympp6nweoKs/Hysa87x9TtYm8g0W4hV15G6jWYlJMvLL7bdz0rswceIfF4mhvSndvJefNZ9G6+xAw998sXrWGMhdflsWfpMyl/g3EhRDtn/Rg/Ym1rRsAFWW52Fs1vNKqoZI9SkUVSlklalfLL4MXbU9lpUXlaIspv7T+5xtR66miLBtrvZtZ4zqfUkxNhQn3cMslWF+lf0fiuUMsH7sQG61sH6XUGCn86t+U/PwV+qtuoNu0v6LS6mrnegohOjZJsP7Exs4DgPKSM9g7+zf5eNP5Cx+sahcpMNpVqV3sMeUVN/v4sqJMXLwizRgR5CYWYudtg767jVnP21iZxVm8s28NU/reSKRnqEViaE9qSgo5v2YJlUcP4TztMexGTpJCq0J0MjJE+Cd2Tn6AitLCk8063nT+wger2kV6sLoqtYs9pvMlzT6+rCgDO8ceZovHWF7D+aQi3MOdzXbOpjApJpbueB0X2248FD7DIjG0J1UZh8le9jeqs07g/thS7K++WZIrITohSbD+RKO1wdbei5KCSzftrW2jUlFtqn+1o6nwQhFJtVP72EhXtD21kx2mwvrn8FWbTABo1fV/oFZVFFJdWYTeDAmWwWAgIjyCu0bNpLrSSHz27y0+Z1OuHRYRhq3elqseupaDOcnMvupx9DrbNouhPSrd9R+yX3sStb0THk+9gXXvgZYOSQjRSiTBqoedsz+lBQ33YDnqtBRVV9f7nFJRBRo16GT5eVelstWhVNb//rj4vnHU1j86fzGxt3Nq+vD0/7pYEVxXYMtdkfeTeu4QU++cgsFgaNF5m3LtDGMW/jP6YX21ExkbD3P0N/Psp9gRKcYq8te/Qf665dgNHovH48vQdvOwdFhCiFYkCVY97J17UXy+4WKRTjodhdV1N/Q1GAxEhoXz/FPPUFxZzhdffNHaYYp2KuXYEXIyz2Cn1xMZFl4nqbn4vnFsoERDUW4KoMLRNbBFMcQuimVowAhemfIvXOzc6O85iCH+w1kce+W9PVtqYexCXAZ6EPLMMLpf3QOVWkVR6nkWLV7U6tduj4x5Z8l+7SlKd/0H59v/Trc7nkClM2+NMyFE+yMJVj2cPQZQdP4wppqqep931OkoMv7RQ3HxG7tTbiU3ePen0lhNdHR0m/QWiPbFYDDw7kdrsFXpeC5kAk65lXXeC0XGavQaDTp1/b96hbkp2DkHoNW1bIg5LS2NIX4j6lQEH+o/ktTU1q8InpaahvNA9zrXdgpxIzWl61UjL0/axbllf8VUWoTHE8uxH36jpUMSQrQRSbDq4ewegmKqpigvvd7nu+l05FVW1VadX7xwEWN8+vH5dY8wxL0nrtZ2XOsdzJJFsW0ZtmgHFi9chL+DK7YaHY/2v47Pr3ukznshr7KKblYN7wJQmJuKk1vLq3YHBQWRdHZ/7XtUURR2n/yN4DaoCB4UHIRiNNX+W1EUCg7mENyv61QjV2qMFG5cTd6/52PdM4TuT7+JVY++lg5LCNGGJMGqh5Nbf0BFQc6hep/vobeltKaGgv/Op0lNT+M6r+A639jHevcjJa3rfWPv6lLT0wh28mzwvZBRXo6vbf0TvRXFRGHOIZzdB7Q4jpi5Mfg49cBoMvLF/s946ouH2XNyBzFzY1p87iv52/N/x2t8TwqScsjcdJSkl3Zx/mA282Lmtfq1LcVgMBAZHoad3pYbroogdcEDFP+4AaebH8D1gfmo9VK2RYiuRhKsemit7HBw6c35s/vqfb6H/sIHZEbZhRWDwYFB/JCVWqe34PszKbJ/WBcUHBjE0eKcet8LBoOBDT9uZ8/mzYRGRFwyhFx8/ghVFfm4eA1ucRxTJk/lweseY2/2Dt7ZsYIal8o2qQheYazkV9t9uOtdUP9QwZkvjuKn8+7U1cgvThGwzz/D62ODeTXChcLMEyQPuhmHsbeiamA4WAjRuclvfgNcvYeRd3pXvc/56S/Mj8kov5BgzZk3lx9PpzDt+7fZnX2M85WlbD+Typy5c9ssXtE+zJk3l+NFOZQZq3g7+Qemff8228+kMnb8eKKjoylxdMLk6sZBk3LJPL28M3tApcbFK6LFceQkFKCp0vHIsvspLStlb8LeVk9wFEXhlV1vcbo4i2U3LmLfzgTKy8rZt3dfp02uABYvWsjYnh6snRzODb27Y6/TsOCXNJ5/XfYPFKIrkwSrAe6+V1GUl0Zled4lz3na2KBTqTheeqFqe1RUFHFxcRR72PL92VR0Wm2n/sYuGhYVFcXMu++lWmXixaTNFHvYYjAY2Lx1K4SFg4sL9O6N8vxcVINCWbj4j1V9eWf24OTWH51Vy4rUKiaFzO9zcAlxwM677epOxaV9w9YTP/HMVX+jd7eANruupVWdy2DZuJA6w8JDvJxJaYMFBUKI9ksSrAa4+Q4HIPf07kue06hUBDs6kFT4x3YoUVFRxO9LYNHyl3DU2TJl8uQ2i1W0L/38e+HSw4vSsjLi9yUwdepU0lNTYfiIPzaxVKlQwsJJ++/KOkVRyMn8HTefoS2+ft6BIsqzK+kxru3qLO0/l8TbCe9za/AtjAsY3WbXtSRFUSj5dSNfRg+mwlhTZ1h4+6k8mSIgRBcnexE2QO/gg52TP9mnfsanz6VLqwc6OXKwsPCSx9UOtqAoKKWVqBy6dtXqrkoprrjwPvgfgcHBHMj7n95QRUGVuI+g/66sK8k/SllRBt39x7Ts2iaFjG3ZOPW1w8G/bXYTyCo5x9xfljLQvR8Pd5GtcGqK88lft4KK5N0U+IZwbcxrDPFx4Vo/V7afyuOXk7kYVsgQoRBdmfRgNcBgMLB9Zza7t68mInzQJROSBzg6cqiouPZb60UXkyqluKLNYhXti1JSgcq+boI1PyYGTCYoLYVvvka1eCHKgf3Mj4nBYDDw9F9vpKpaYfJtT7aoflru/kJKz1Tgd0P3lt5Go5RVl/Hc9sXY6fQsGPUsWnXn/85WfmgH5/75CFWn0nB9cAGRzy7n488+p8zFl2XxJylz8ZUpAkIISbDqc3FV0OFjObh1U+Nme7TOhGSDwcCqeXMprK6m/3Vj63wgXuy5MBWWWiR2YXmmwjLUjnUTrKioKIbedjv2uTnYfL6eQVoNBoMBRbkw2b23Zz4FxTVUlx5udpFaU43Cye/O0a2fA0697Mx1Ow2qMdWw8LflZJfl8OK1c3C2cWz1a1qSqaKU8+uWk/fuAqz8g+j+7DvYhgwD/jtFIGEfpWXlxCd07kn9QojG6fxfN5shdtECwoJtmD7xwofUrGkOZJ83sTh2IQDR0dFw1YU5WqnePkRHRxMXF0dUVBRqNwdQgSmnCPpZ7BaEhSiKgim7EPWwPpc8ftzamr9PuIHYp/+v9vGI8FCGDbKll68WlUrFnAediF0Fi2MXEhUV1aRrZ+/OpyK3iuAZfma5lyv517732XVmLy9eE0OAU9tc01Iqjxzg/CfLMJUW0e2OJ9APu6F2UrsQQtRHerDqkZqWTmigrs6qoLAgHSmpaSyIjUUVGgb/9/SFxpOn1lkNprLSonZxoOZsgWWCFxalFFeglFeh8XCq8/iRklJyKqsY6epS5/HUtHTGDbOp973WFMaKGk5tOYd7uBP2Pq0/9+/z1K/5PHUjjw9+kKt8Ilv9epZiqqygIO5tct58Bo2zO92f+Rd2V02Q5EoIcUWSYNUjOCiQ/enVdVYFJaZV0y84iPTUVJTQsAZXgwGouztRk33pBHjR+dWcKwBA3d25zuO/5eWhAob/KcEKDgrEwU5d73utKTK/z8FYVoP/JM/mht5oP536nbf2rmZ6/yimBk5s9etZSuXRQ5x7+RFKd27BaerDuP/1JbSurf/6CiE6BxkirEfM3PlER0cTuwrCgnQkplWzP60Cg2E+LyxaxMH9iSg33XwhyVIUSE+rXQ0GoOnujPHwGQvegbAUU1Y+AJrudXuwtmfnMtDJEWcrqzqPz3n+aYwn/8Hm38oxGpU677XGqsir4vT2XHzHumPTzerKB7TAvnMHif1tOWP8r2ZW2D2tei1LMVWUUfjtB5T+uhGrgH64PRSLzt3H0mEJIToY6cGqx8XCoRp9EOu3VqPRB9WuCpofE4OyPxHV4oWwdcuFJEtndWGV2H9pAtypOZOPUlltwbsQlmA8kYPaqxsq6z82dDYpCt+dPccEz0tX9oX2qUKr0ZCe5XfJe62xjn2Vhc5Bi+8Yd7PcQ0PSzx/l+e2LGejRn+eG/x21qvP9+ahI3cu5fz5M2a4tOE15CPe/vSzJlRCiWaQHqwFRUVH1TjK+mHwtXLyYtLUfoRowkIjH/17nA1Hb0wNMCsaTOegCvdsybGFhxmPn0PaqW+AzPj+f7MpKbvKqO7ykKArHD32Md58J/Pz7e826Xt6hIs4fKiLonh5orFsv4ckoOs0/fliAv5MvsaOfw0qju/JBHUhNSSGFX/2bsj3bsA4Mo5sMBwohWqjzfQVtA1FRUSTu3Ut5WSnPjL2OJK0Oo8lU+7zGxwWstNQcy7ZglKKtKdU11JzKRdurbk/VN2fO4qzTMeJP86/On02gKDeFngPvbtb1jBU1HDWcoVs/B9zCnK58QDNllZzjye/n4WTtwD/HzEOv67gFdA0GA5HhYdjpbYkMD8MQF0dp/Pece3EW5Uk76XbHE7g98qIkV0KIFpMEq4UmeXlSUF3N9pzc2sdUWg1af3eMR85aMDLR1mpO5kCNCW3PugnWF6ezuNGzO1p13V+34wc+Qu/oS3f/a5p1vZPfncNYZqR3tLfZV7UZDAbCIsJw8nHmtjX3UVleybKxC3Gy7ri1ri7Wt7PPP8NTg/3pXZVHxdoXyV/7MtZB4Xg+929ZISiEMBtJsFoospszfezt+PhURp3Htf18qE7OQPmfni3RuVUnZaDSW6EJ+GMu1IGCQg4VFTHdz7dO2/KSc2SkfUGvQTNQNWMuU+GxUrJ+zcNvQndsXMw7sf1iIpJlnUvI/OEYVSb+87iBXzb/ZNbrtLXFixYy2t+dtZPDmRURwLJx/Ql2c2DRwXxc752NxqGbpUMUQnQikmC1kEql4i6/HsRlnqG8pqb2cd1AP5TSSmqO51gwOtGWqg+eQtvfF5Xmj1+rj09l4GKl44Y/TXA/mvgearWOngMbvxLPYDAQER6Bq6MbP768kyr7cnxGu5kt/osWxi7EY7gPQY9FoLOzQudohZ23A4sWLzL7tdpSaload4Z416k5tjH9LGt3HLBwZEKIzkgSLDO4y68HxUYj35z5Y0hQ26s7Klsrqg+dsmBkoq2YyioxHj2LbsAfFc1NisL/t3ff4VFV6QPHv5NJ7yEkkBBICCGVkEoRpATBBioSy6KCrl0sy+7+xIoobVdglRXFtgsqKKuYwQIWEAu9JSQEUgghDRJCes/MJHN+f6BZs1ICTirv53l4eDK5c99zz8nJvDnn3HPX5Z/gNh8frH81PWg01HL80AcMDL8La9u2rZ36ZVTJqtKOZTe9hZOVCzP/eQsbPttg9mvJKc5l0D3hrRIR13APMn6111t301RxmtU3j2Dy4L6t9hzbmldKSHDwBd4thBAXT+4iNIPBTo6M7OXGv3JyubX/mVu6NZZaLMN8MKTkYnfTsE4uoWhvxtR8MKlWCdbm4tMUNDQww7d/q2NzUtfSZKwjIPqBNp9/4YKFDPcbxbKpb6LRaFBK4e3qw6KFiy76kTrnU1RbzNBnR9FkbEYp1RKrMrWE4JDul4goo4GaH3XUbFlHbL9ePP7FHsoajYwf4M6P+WVszytF9+o7nV1MIUQPJCNYZjIrwJ/NxafJrKlpec06dhDN2cU0l1R3YslERzDsy0Lr54HW47+LwF8/lk2kq0ur3duNhloy96/AN/R27J3avr9SZmYmYwdNbDWqNNx3NBkZ5htVyq3K5/HNz+Dm1ouD87ZzZMleTnyVzZEleylPPc0Lz79gtljtTSlFw6FdnPr7Q1R/vQaHUZPxm7+GGYtfp76XD/84kEd9L5+L3nNMCCHaShIsM7nNpx8eNta8cex4y2vWUQPB2hLDvqxOLJlob6Z6PcaUPKxHBra8ll1by1dFxTwe4N/qrrRjSe/QZKglZOSfz3aqcwoJDmGId0Sr6a19eTsJNtP0VnpZFk9seRYnG0dW3/waH72zlgFW3hRuyGaAlXe3SkSMRbmUvvksZavmY+nhTZ85b+I69UEsbB2YNm0aB5IOUlffwIGkg93mmoQQ3Y9MEZqJjVbLg/4DeS0rm4VDQnG2smLDVxtRxUfxfCef2c/dz3MvzDXrdI7ofDqdjr0r1vHUgHFMfeExHmr4K9OmTWNldg5u1lZMH/Df6UFDYwVHE9/Cf+jMixq9Alg0Yxm2ea68vm0ZHo592Je3k/15u9G9qvvd15B06hDP/rSIga6+vDx+Ls42TufcaLcra66ppPrrNdTt/hpL9764P/AStqHDZdsFIUSnkBEsM3pk0ED0JhMrs4+3LErel59BmKs3EY2OxMfHo9P9/g9E0TX80sbXOw7iZF0FxqIK4uPjee/jj3k7O4eH/Adip9W2HJ++5xVQJoKGPXFRccoOV+NQ4E7DwAqOqSOs3r+S5l56s4wqbcn5iSd/eIkhHsG8ctV8nG2cftf5OoMyGqjZup5Ti+6l/uBPuNz0AH2efhu7sBGSXAkhOo1G/TLn0A0lJSURExNDYmIi0dHRnV0cAGYlJbO+4CQ+857HrVTP+gmPtCwUvmXrSmo87ThwMKmziynMICYyitB6e/55xXSAljY+6qyhatHfyZ18Db1tbACoLs3ku7VXETb6GYKGPdrmGPXFjaQsz8Y10JHgewaYLWFQSrEuTcfbyR9wrf8EnhzxKJYW3WtAW5lM1Cf9QPWm92muKsNx9GScrr0LrUP33QxVCNFzyAiWmT0dHEiV0Uh6RgYTvIJbLUq+3iec9Mzue6u7aC3jaCb3B41p+Vqj0XCVdwinjmdjv3M72zZtAs4kM8k/zsXBxZeAqPvbfP6mhmbSV+Vh42rF4Ok+ZkuumkxNvLr/bd5O/oCZQ27j6ZFPdKvkSilFY2YSp//xOBVrl2I9IJA+T7+Na/wsSa6EEF1G9/mt2k0MsLfnHj9fPvDux/dFGTwSEtcygmVhYSF77vQgUcFDGOTs2Wo7gy0n09B4+1CyZzfxrywjISGB4WGWlBRsZ9TUtWgtbdp0blOTifT38jDUNhE5OwBLW+2F39QGNfpa5u1YQnLxYZ4c8ShTAq42y3k7iiEvk6qNq9FnJWM9MBSPP72CzcDQzi6WEEL8hiRY7WBuaBDvxd/CD8te5patK7nKO4Qwt35M6hfKoD/c1tnFE2by6u2PYplawYM73ifKfQBbTqaxrSgT/m8ODBuBpraWFxe8xOKHTXgHXIfXwKvadF6lFMc+LaT6eD1DHvLDzqNtSdmFnKgp4pkfF1DRWMWyCS8S3XeoWc7bHnQ6HYsWzCcjM5PgoCAW/OVxRjQV0ZCyA8u+vrjfPw/bsJGyxkoI0WVJgtUO+tvb89TdM/k7ULb5G/525BuuGTqSd72mEegeeMH3i65P6Y0EFDRx0t+ZvCMmPkv8DI23z5nkavjIM8dERpH58YeYmgcRGfe3Np+74LsSTu+rIPAOH1wCHM1S3r2FSczfuQw3GxfeumYpPs7eZjlve/jl5oGxvh68NHoQPs7WDDnwCZW2TvS946/Yx05AY2GeET0hhGgvkmC1k6eCA/nX2LEMiY/n0MgzO7nXvvENjV8mYjMmBI2lfEB0Z41bU1H1ekLm3cWB+fcyePIUjt1zH/xyz4hScDARL08LjI43YufY5/wn/Nmp3eXkf13MgGs88Yz9/Q8fVkrx4ZEE/pWylhHe0Tw/+i84WZsnaWsvixbMJz6kH69OCmuZel2dks9XNbbseXlSZxdPCCHaRBa5txNHS0vi9Y2sKziBdewwIqKj2elQhamsBv329M4unvgdVKOBxq8PYnNlMFoPZ5pMJprvuRdyc2DxAtj4BSx8EVJTGRNhxS13L2nT9hwlBys59ulJvK50p//Vnr+7nLWGOuZtf5l3U9YwY8it/G38810+uWoqO8VdfRSv/JxcwZmbB5pMitRu/CxEIcTlRxKsdqLT6Xjj1njIzcH42J84ZKHl2j/+gWIfOxp0ezHV6zu7iOISNWxMRDUYsL0xFoBXs46Rh4aX/f2wPZaF5sMP8K04ypP3uHJTnAMRQbYsWjj/vOcsT6vm6IcFeMS44j/V65LWFul0OiKjI7GztyP62mHc8elDHDiVwsKxz3BfxJ1YaLpudzeWnKT8o1c4teg+Jvl78tHhk612rf8xv0xuEBFCdCsyRdhOXlq4EE1EJMrXDzQamPMMmkXzefy79/hk6J00fnEA+z+M7uxiiovUfLqKxm+Ssb0+Gm1vZ47V1vLC4XRmBwYwJyKcF2fcyfxHXAnxt255T2SQFZ9syTznOcvTa0h/Lx+3ECcG3+6DxuLSkqv4+Hh6hXsy+IkoHELcOZFTwGNBf2RM/5GXdK0dwViUS/WW/9BwcBsWTq643HAvB0qbeebN2/kqu1geyiyE6La67p+03dzRjAxUROSZ5ApAo0GNn8DO1CTspsTQuDmF5lOVnVlEcQnqP96JxtEWu8nRNCvFffuT8LKzZX5YCABXj/UjyM+q1ehLcqaRkOCgs56vPK2a9FV5uAU5Enz3ACy0l3ZX3PyF8+kd60XYnBG4hXug0WrI/zSTFX/756VdaDvT56RR+u48il9+GENOGq7xs/Ca+x5OcfFMvfU2EhIS5KHMQohuTUaw2klgcDCpKcmoyTecSbKUgiHhBERGYHtdFPptadS9/yNOc26SW827CUNyLsYDx3F4eBIaGyv+lpbBjtIyfhg/BgdLS+qqCphxnZFDGQa++LGBiEArkjONpGQ2otPN+835yo5Uk/HzyFXwzP5YWF763zuFzacJnBXZat2SS2hvMjZ0nXVLymSiMeMANd99guH4YSz7DMBt+l/O3BWobf2rqDs+C1EIIX5NRrDaybznn0elJKNZNP/MoufX/wlWVjj/5Umw0uJwTxxNaSfQ/3iks4sq2sBU10jd6h+wGuqL9chAdpaW8WJaBs+HBjPWozdNxnp2f3EP9o7uDJ2wHAu7ID7ZYkRrH3TW0ZfTBypIX51Hr1CnMyNXl5hcGZqNvJO8huAnY9GXNLQaOatMLSE4pPPXLakmA3V7vqV4ycOUvfMCNDfhft88+jz1Fg4jrv5NciWEED2B/GZrJ9OmTSMhIYH5ixaRuf4TgkKCmeTkwDIT/CsnlwfCB2IzLpT6/+zEKnwA2t7yiI+urP6jHaA34vDHOMoNBu7Yu5+RvdyYGxKEMjWz/5vHqK3KJe4PG3HpHUL8rTNbvV+n07FwwUIyMzN56KrHmTb4TvqMcCPgln5oLnFaMKv8OIt3Lye/+iSjrKJ5+bmX6DXEE9dwDypTSyhPPc2/dG+Z4/IvSXNtFXW7vqJ2xxeYqiuwHTISt1ufwNo/TEZthRA9noxgtaNp06aRnJhIQ30dyYmJLI2/mYf8/Xjs4CF2l5VhP/1KLOxtqPv39yiTqbOLK87BkJSDYUcG9ndcSbOrPbft2U9dUzMfjhiGVqPh4A/PUpS9meHXvYlL75DfvP+XBejWlfa8etO7TBt8J2v3/5tUy32XlFw1mZp4P/VjHvrm/9Cg4a1rlvL3218k4dMEBlh5U7ghmwFW3u2+bkmn0xETFYmDvR0xUZEtW1EYi3Kp+M9yil6aQfWWddiFjaTPM+/S+/4XsRk0RJIrIcRlQaN+mVPohpKSkoiJiSExMZHo6OjOLk6bGEwmrvppB1k1tRyYGEefvDJqXv4c25tisb95RGcXT/yP5pJqql/4GMtgbxyfuJ4/JR/izewctowdzXhPD9L3vELa7qVET/oHA4fccdZzREdFY1ftzN9vfK1l48y/bniY5l56EpMSL6o86WVZLNmzgryqAqaHTuPu8D9grbUyx6VelF/vtj5uQC+2F5Rjq9Ww7K7JuFQWYuHijuOVN+BwxXVoHV06vHxCCNHZZIqwg1lbWJBwxQhiv/uBqbv2sG38GOxuHk7Dhr1YBXhhFT6gs4sofqaMzdS+8Q0aBxsc7r+Kf+fkseLYcVZGRzDe04Ps5NWk7V5K2KinzplcAZzOL+GNW5a1WoA+3Hc0q/evbHNZGpoaWZXyEZ9mfskgVz/eunYZgb0G/e5rvFSLFsxnrK8Ha2+KQqPR8ECULxqNhvS8XAY+Nhe7yDGytkoIcVmTKcJO4Glrw+ejR5JRXcOtu/ehnRyN1ZAB1L69meayms4unvhZ/bodNBeU4vjotWyqquDhpGQeGTSQRwb5k53yHsk/PEtA9IMEDf/TOc9Rk1/PytvXYGnReuuGfXk7CW7DxplKKbYV7ObuLx/js6yveTByRqcnV0opHKtO8dLYwFZJY0J6IVM/3o19TJwkV0KIy578FuwkUW6ubBg9ksnbd3Ff4kFWPziR2pfWU/vKRpyfj0djZ33hk4h207g5Bf3WVOzvGc9uRwtu27abm7y9WBEVcSa5+v4ZAqIeYOjYF8+5pujU7nKydYU4edhz+ys34ufuz3Df0ezL28n+vN3oXj3/43NO1hTx2oF32VOYyBXesTwR+wDeTn3b43LbpLm2ivoDW6nb/Q0f3hhJYU0jSqmWac+EzCLZbV0IIX4mCVYnmtTHk7UjYvnDnv30srbmH3+eTM0iHbVvfIPj7MnyQOhOYkg6Tv1H27G9NpLMqP7c8ON2rnDvxYcjYslOepvUbS+dSa7GvXTW5KrZYOL4hkKK91bQ94pe+N8cylsRK1m0cBGr968kODgY3avnXoBeb6xn7eFP+STjc3rZurFo7LOM9hneKYvDlcmEPiuZuj3f0nBoF6CwCx9Fqmc4V9//BGN8e8tu60IIcRaSYHWy2/r7UG4w8khSMhoNLHnsWqqXfsHnU2fz0Pf/JjgwiOdemCubLrYznU7HovkLsCmpY33cI9T6OFF3dRiTftpOgKMDG0YN5+jORWQlvknQsMcJG/3MWROeuqJGMtfk01hqIOD2fvQd0Qto28aZJmXim+Pf827yWmqNddwRFs/00GnYWdq2yzWfT1NpEXX7tlC//zuaK05j6dkflyn3YD9sIlpHFyYBCW79WLxwAf84kEFIcDC6V9+R3daFEOJnkmB1AQ8PGgjAI0nJpOcep9f2T3jjyhlsnPA4C5K/JD4+noSEBEmy2skvd8TdGzSGBXEzyaspY8Kyp7BQxxly9dV8PWo4R79/kvz09USMX0BA1P2/OYdSilO7ysn5vAjb3tZE/DkAB6+zJ0Y6nY75C+eTmZFJUHAQc5+bS/8rBvJ28gccq8jhKt+xPBQ1kz4OHu196a2Y6mupT9lO/f6tGI4fRmNrj33UOOxHXI21b/BvEkrZbV0IIc5NtmnoQlbl5PLghAmMMdjw6VWzWta23LJ1JTWedhw4mNTZReyRYiKjGNroyLLht7XU+bStK0m0MZBzcCdpm2dRVniAYde+Rv+gqb95v77SyLFPT1KRVoPX6F743eCF1vrs94/8+qHMruEeNJbU4x7bF7cwD8I9Qnk4aiZDPH67l1Z7UU0GGtMTqU/8nobDe6C5GZvASByGTcR26CgsrDt+9EwIIXoCGcHqQu4d6MesU0VcNeS6VndnPR85hRt/eKOTS9eDFVexcMKMVnU+yTuEHYmf8c9nrmTkUFvG3rKe3v1a71OmlOL0gUqOf1aIhaUFIff54h52/h355y+cT69wT8LmjGiJ11haT/1nJaz4ZLHZ11npdDoWLZhPRmYmwUFBPDf3BW6eehP6Y6nUJ/1AQ8pOVEMtVt4DcZl8D/bR49G6uJu1DEIIcTmSBKuLCQsKZmthBo+ExLWMpkT19uXdq+5HNTXLwnczM6af4LOrHqOwrhJ/J4+WOt9SmI7G1o61G4t59u/p2Dv7tHpfY7mBbF0hFWk1eMS44j/VCyuHC3en/OqTDHp4aKtEqnRfEYWbstslufplM9D/i/XlVF016SueJ3L3GqyNDWjdvXC8cgr20eOx8vIza2whhLjcyRRhF/PLh+J472Cu8g5hS2E6njaOvD76LrYVZ7GsbB9PPfe0rH0xA/3eLOre2UKpqyUxrz1BtOdAJv1c59sKM2B8HJrt2zA1NbW8x9RkovCnMvI3F2PpYMmgad64D7nwcyTTSjP58EgCO07sxVDZiJWLTUsyd2TJXgZYeXMw8aBZr294dCSx2hqeGRXQkryV1hvYUWbkgX+8i7VvkDy2Rggh2omMYHUxvzwkevGChSw+/A0WXl7UTR1PaVU+73sN5m8u7syYcV/LseLiKaVo/CqJhvW7aYz15zZ/K2qNj7DzwzXsOJSDpl8/+Osc2Pw1/CoBqTxay/HPCqk/rcd7TG8GXOOJpe25RxSVUhw4lcy6NB2Jpw4xwLkfk6xG88KfnsYt1KNdHsps0jeiz0ykIXU3q4a742rbet8sXUYh/ziQx2MJsl+VEEK0J0mwuqBf3501NDaWVI2GH6+9kilVBtYcsOaHqc/yt+WrJMG6BKrBQO2/vsN44Dg544OY4NKAl8aS0QU/srO8DM3QoZgio9Fs+QaVmoq1jTWfr/2SgMZwKtJqcPKzJ/LPATj2sztnDH2zge9yt7E+/XNyqvIJ7DWI+WOe4kqfEWgttIRaBrBg0QIyNmQQHBLMv3Rv/a7tDZqrymhM20fD4T00Hj0IRgOWfQawuVhPyvFjLBwf3DJa9mN+mWwGKoQQHUASrC4uKy0NwsIBSHWxZsIYD97dXMESv6tp2JSE7XVRaCxkmqctmk+WU7Pia0yVtbx7XSBPa2u52d2JP55YjmFsMdoCW/anp6FPO4y1lYZG4Nahd+Gyvx+l9uWEzvSnd4TLOafViutK+DLrWzZmb6aysZpRPsOYPewhIjzDWr3n925voEzNGPKzaEzbR2PaXownskFjgbV/GC7X343dkCuw9PDGT6fjr/Hx5FTVy2agQgjRwSTB6uICg4NJTUlGTb4BNBrKrSy4LXk9y/sN445PLDAeKcDhvglo3Z06u6hdljIp9N8dov6TXTS4OXDbuL4csdGzyOEkQclLsHEdyOjpm9D45jBz5l1oTHoGOAdw98SHGTNoApuObOCH8q/Z+7c9vzm3SZk4UJTM51nfsOvkfuwsbbl6YBy3BE3Bx9nbbNfQXFVGY0YijRmJ6DOTMNXXoLF3xDY4Fqe4W7AJjkHr0HotWMt0s2wGKoQQHU4WuXdxvyx61wyNQEVGoUk+iDqUgk6nY0pADLX/3gp6I/YzxmF9RaAsWv4fzWU11P1rK01pJ/gpvC93+miIddFw74l/4tKQT9Cwxwga9ihaS1sM1Ub+cuMzxEfcgZXWquUc/0n8gNX7V1JXX9fyWlFtMd8c/56vs7dSXF/CIFc/pgZex0S/cdhbnXv68NfOtoXCLyNbpsY69MdS0R89SOPRgzSdygeNBqv+g7ENjsU2OObM5p9auatUCCG6IkmwugGdTsf8RYvITM8gKCSYec8/3zIKYaprpH7NNgy7j2IV6Yf9nWPQerp0cok7n2o2od+aSr1uL3WWFjwU7sw+T2vuNWxjeOE6fAImEz5uHg7O/Wko1XPyx1KK91XQ0FjPruPbiBt8dcu6pT/rHqTSspTk9BS2Fezmu9yfSDqViq2lDRN8xzA5YBKh7heX3P56C4VxA3qx52QlhqYmljxxH76aRownssBkQuvmiW1QNDaBkdgERqF1lLYVQojuQBKsHsJwIJv6D7djqmnAdnI0dpNj0FhfnjPAxsxC6tf8RNOJMj4f5MpfBtkRZ32cm068RX+PAMLHPI9H/yupyqqjcEcZ5UeqsXKwxHusOwfKdzHt9puJ6T+CkQPHsCd3O4n5e+l3vT+Bd0RgwkREnzCuGRjH+AGj2zxa9b/GD4siWlvLn0f4tyRyGo2GCkMz3iMmYBMwFNvAKLS9vWRUUgghuiFJsHoQpTfS8MUBGr8+iIWbA3Y3D8f6iiA02rM/tqWnaS6soGHDXgz7jpHhbsejIY5YulVw26lVRDjZEjbqKTy8rqb0YBVFO8tpOK3Hvq8NXle64xnr1vJ4G7/BAzlddhpjnQF7byd8bgrAwdcZTYaBL1/V4Wnf+6LKpUzNNBUXoM9Nx5CThiE3nabTJ35z3CdpJ5m74xh19Q1mqQ8hhBCd5/Ic4uihNDZW2N96BTZjgqlfv5u6d7fSsDERu5tHsOnEIRYtWEjG0UyCA4N47oW53Xabhzlz5vDmGyupb6jH3s6epx96nCeCJ2DYlUmJnRULhrpysF8tt5WvZHSDlsAJc3BkIiW7q8lNzUQphXu4MwG3eOM8yAGNRsPpuhJ25u5n14n99H8uDF+roa1invgqm8IN2Xi+ff7kSilFc3kxhhPHMORlYszPxFCQhdI3gMYCq34DsQmM4uWfDpOff4LlV4e1jGB9dvSUbKEghBA9hCRYPZC2rxtOj19PU85pGnR7qVv5Ld6Vp7jVJgCGDGJzYRrx8fEkJCR0uyRrzpw5LF26lHFeQdwRPQJPOxeuKOnLyfIj/CPUnQPeZVxbk8CDWmd8op5CFUZw6uNqjDUF2Pe1wXdyHzxjXDHZmUg5fYT9SQc5UJRCTlUeWo2WCM8w9DuqyMvMI+ihyJbkp+LQaYJDWic/ytRMU0khxpPZGE8ex3DiGMYTxzDVVQOgde2N9YAgnCZNx9o3COv+g7GwtQdgjIUX8fHxlDToZQsFIYTogWSK8DIwY9Q1THcJZYTHf9f7PLprLcecjBw4mNTZxbsobvZOzAoax1/Cr2m5llVHd7CwYBfPvxDIGPcoHI2Tqc/si6G6CWtXK3pHOOMy1IFc2zxSSg6TUnyEtNJMDCYjHvbuxPaNZLhXFMO8o3CydmxJ4lzDetMrog/lKcVUHill3qx7+eutkzEW5WIsyqWpKA9l1ANnkimrfoOw7h+IVf8ArPsPRuvc67zXotPpWLxwAekZZ7ZQeG7uC7KFghBC9BCSYF0GHOzteSbsWmaFTmj1+v7SXMb99R6shwdg4WjbSaW7MGVSGDNPUvTjYUzbUnGxbr2wfGXa98xL/Iyf5uwFgy02vaywDbSkpH8xRyzTSSvL5GjFcZpMTThbOzHUM5SoPuHEekXi6+zTsohcGQ00lRXxp7tuo/Z0EYmnq8gur2NQLwdmx/pzXUAfNFY2WPYdgFVfX6z6+WPl7Y9VP//f7EElhBDi8iZThJeB4MAgvi/K4JGQuJZRn+WHt3ClXyj1H/xE/dptWAb3wzrSD6sIX7R9XDu7yCi9kapDuZzck4F9+klc6poot9OSUJjM8ZPHWTHqjpZr2XLyCBqNhqKwUg47HSbJkEK1sQaOQz/HvoT2DuLqgeMZ6hnKAAsnTBWlNFecpmn/LirLTtFUWkRTaSHNlSWgFM8OccPQ7IL1r24O+Db7NJP+s5e0wlI0FrL3lBBCiPPr0NvLsrKyGDVqFIGBgQwfPpy0tLTfdZxom+demMsPJ9O5ZetKVqZ9zy1bV7Lw4JfUzxiB6/J7sJ8+GjRQ//FOquaspfKptdSt+h79tjSaCyto6yCnTqfDxsoKrYUFVhZatBoLXF1d2/Te5tpGCvZmsPedz9j/9LsUP/w2pte/pS79BBt6K16MLGZTYAbr8zaxLnsP0757nZVp3zPtu9fZVnQUkzLxif0n6G3KudEtnBd6T2KN47W8XhPAQ8nFXPGpDptFT1A87y5Kls+m/P3F1Gxdj+HEMSwcnLCPHo/b7X/C4/Gl3L3rNH/84mDLdSuleP9QAQ7efmZPrnQ6HRFRMdjZOxARFYNOpzPr+TsqRkfF6SkxOipOT4nRUXF6SoyOitNTYrQb1YHi4uLU6tWrlVJKrV+/Xo0cOfJ3HZeYmKgAlZiY2B7F7VESEhJUTGSUsrezUzGRUUqn0/3mGFODXukTs1Xt6h9U5XMfqbK7V6iymStU+SPvqKqFn6raf29V9V8nKX1yjjLmlajmqnplaja1nB9Q47yC1ILYm9V4r2AFKEC5uLgopZTS1zWo/KzjKvHHnWrz6k/Vl4vfVd89+YZKefhMnLKZK1Tm/W+oj/9vpfr7/JfV3KVz1b8XLFafzH1HvbZglXrylUXK3y9QAcpKq1UWGo2y0moVoLQWFqrgT9f8999fJqvCF2eo4uV/VqXvLVYVG95W1T9uUPWHdil9wTHVXFd9zrp68sknFaBG93dXc8cEqdH93RWg5syZY/Y2AZQmbJLi1iVn/geVkJDQrWJ0VJyeEqOj4vSUGB0Vp6fE6Kg4PSVGe+qwNVinT58mMDCQ0tJSLC0tUUrh5eXFnj178PPzu+jjQNZgtTdTvZ7m48U0ZRfTXFhOc2EFzacqwdD034O0Fmic7Mg/dZJmYxO+ju4tU3fHa0poViZsrG3p5eiKU3Pr85+wtSDfwUSJrZFKWwP11nqsMGGBlkZtAyaLIuxMpbgZTfQ2avDEgWnLv6C4shFHW3v0Rj02VjbUNtZjb23Jnu17MDn2wuTohrJzAs2lDdDePv1OjhWVoa0pRp3KRNM3iGanPgz2duc/H3146RV6tjhNLjD9n6DRgFLw0RMMtq42W5yOiNFRcXpKjI6K01NidFScnhKjo+J0VgzNPycz1KaC5KQDZonRnjoswUpMTGTGjBmtpvuGDx/OsmXLGDt27EUfB/9NsMaMGYOrqyvTp09n+vTp7X8xlzFlUpjKa1CV9Zgq6zBV1WOqqmf5kmWM8vBnaK/+LcceLj/BruJsGkxGvK8fhd7ChN6yGb2Fol6roRF7arXW1GksMSon9BpXGnCmzsKWegs7qrX21Fg4UKO1o1FjAxoNFs8MxlSWh7WdDc3GJrRWlhga9Fj09sO0+Ggn1owQQoh2t2U5thtfpOFXz4btqjp0kfv/PvLjXLldW4/7xfLly2UEq4NoLDRoeztD79Z3zSXMP8bmxFQSJj7aMoI1L/EzDpblU9ukZ983G8wSf/Lr/TlVloeVasakFFaqGQPQp58PG282z4/zOf8ys6nmPx92wF+ZZowj19L1YnRUnJ4So6Pi9JQYHRWns2JojmwmKCTELOdvdx01F1lcXKycnZ2V0WhUSillMplUnz59VE5OziUdp5SswepKfpkrH9s3UC2IvVmN8wpqWYPl6upq9jhaOydlobVSWjsnBZx1TdnvjaEJnXhm3j90otljdFQcuZauF6Oj4vSUGB0Vp6fE6Kg4PSVGe+rQRe7jxo1rtXh9xIgRv+s4SbC6loSEBGVtaaUsNBplqbFQFhqNWZOrX8eJiIpRtnb2KiIqpl06W0fE6Kg4ci1dL0ZHxekpMToqTk+J0VFxekqM9tKhG41mZmZyzz33UFZWhrOzM++//z5hYWEAXH/99cyfP5/Y2NjzHvdrsshdCCGEEF2R7OQuhBBCCGFmHbrRqBBCCCHE5UASLCGEEEIIM5MESwghhBDCzCTBEkIIIYQwM0mwhBBCCCHMTBIsIYQQQggzkwRLCCGEEMLMJMESQgghhDAzSbCEEEIIIcxMEiwhhBBCCDOTBEsIIYQQwswkwRLtYt26dZ1dBPE/pE26JmmXrkfapOvpjm0iCZZoF92xM/R00iZdk7RL1yNt0vV0xzax7OwC/B4NDQ0ApKend3JJxP+qrKwkKSmps4shfkXapGuSdul6pE26nu7SJsHBwdjb2wOgUUqpTi7PJfvwww+56667OrsYQgghhBAkJiYSHR0NdPMEq7S0lG+//RY/Pz/s7Ow6uzhCCCGEuIz1mBEsIYQQQoiuSBa5CyGEEEKYmSRYQgghhBBmJgmWEEIIIYSZSYIlhBBCCGFm3SbBysrKYtSoUQQGBjJ8+HDS0tJ+c0xjYyNTp04lMDCQyMhIrr32WnJzc1u+7+fnR3BwMJGRkURGRvLxxx934BV0f21pgwsd19ZziLa7UJ1eqF+A9A1za+vP+fnqXfqK+V2oTisrK1vaIjIyksDAQCwtLSkvLwekn7SHJ554Aj8/PzQaDYcPHz7ncd3yc0V1E3FxcWr16tVKKaXWr1+vRo4c+ZtjGhoa1KZNm5TJZFJKKbVixQo1adKklu/7+vqq1NTUDilvT9SWNrjQcW09h2i7C9XphfqFUtI3zK2tP+fnq3fpK+Z3sXW6dOlSNWXKlJavpZ+Y308//aQKCgouWLfd8XOlWyRYxcXFysXFRRmNRqWUUiaTSfXp00fl5OSc93379+9XgwYNavlaOsela2sbnO+4S21HcW6XUqf/2y+Ukr5hThfTJueqd+kr5ncpdRoaGqo2bNjQ8rX0k/Zzvrrtrp8r3WKKsKCgAG9vbywtzzzZR6PRMGDAAPLz88/7vtdee40bbrih1Wt33nkn4eHh3H///ZSUlLRbmXuatrbB+Y671HYU53YpdXq2fgHSN8zlYtvkbPUufcX8LrZOd+/eTVlZGVOmTGn1uvSTjtddP1e6RII1ZswYevfufdZ/BQUFwJlK+zV1gf1RFy9eTFZWFosWLWp5bdu2baSkpJCUlIS7uzt33323+S+mB2trG5zvuIttR3FhF1OnZ+sXIH3D3NraJuerd+kr5ncxdbpq1SpmzpzZ8sEN0k86U7f8XOmsobOLUVxcrJydnds8BLh06VIVExOjKioqznnOwsJC5ejo2A6l7Zna2gbnO+5i21Fc2MXUaVv6hVLSN36vS/05/3W9S18xv4up09raWuXk5KTS09PPeT7pJ+Z1oSnC7vi50iVGsC7E09OTqKgo1q5dC0BCQgJ+fn74+fn95thXXnmFdevWsWXLFlxdXVter6uro7KysuXrdevWERUV1c4l7zna2gbnO+5i2lG0TVvr9Fz9AqRvmFtb2+R89S59xfwupk7Xr1/P0KFDCQ4ObnlN+knn6bafK52d4bVVRkaGGjlypBo8eLCKiYlRhw8fbvneddddp/bv368KCgoUoPz9/VVERISKiIhQw4cPV0oplZ2drSIjI1V4eLgaMmSIuvHGG7tEhtudtKUNLnTc+b4nLs2F2mX79u3n7BdKSd9oD23pKxeqd+kr5tfW32FXXnmlWrVqVav3Sj9pH7NmzVL9+vVTWq1W9enTp9UNON39c0Ue9iyEEEIIYWbdYopQCCGEEKI7kQRLCCGEEMLMJMESQgghhDAzSbCEEEIIIcxMEiwhhBBCCDOTBEsIIYQQwswkwRJCCCGEMDNJsIQQl71vv/0WBwcHGhsbee+999BoNJSWlnZ2sYQQ3ZgkWEKIy97GjRuZOHEitra2nV0UIUQPIQmWEOKyt2nTJqZMmdLZxRBC9CCSYAkheqTq6mp8fX259dZbW73+6KOP4ubmxokTJwA4cuQIubm5TJ48uTOKKYTooSTBEkL0SM7Ozrz33nskJCSwZs0a4Mxaq5UrV7Jy5Up8fHwA+PLLL4mOjsbb27sziyuE6GEsO7sAQgjRXuLi4pg9ezaPP/444eHh3Hvvvdx+++1Mnz695ZiNGzfK9KAQwuxkBEsI0aMtXryYfv36MXLkSADefPPNlu+VlZWxZ88ebrjhhs4qnhCih5IESwjRo9na2jJt2jT0ej133nknbm5uLd/76quv8PT0JDo6uhNLKIToiSTBEkL0aIcPH2bp0qVERUWxYsUK0tLSWr63ceNGJk+ejEaj6cQSCiF6IkmwhBA9lsFgYMaMGcTGxrJnzx7Cw8OZMWMGRqORpqYmvv32W5keFEK0C1nkLoTosebNm0dWVhYpKSlYW1uzZs0aoqKi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    "# set up the plot\n",
    "plot(\n",
    "    xlim = (-0.25, 1.1),\n",
    "    xticks = -0.25:0.25:1.0,\n",
    "    xlabel = \"x/L\",\n",
    "    ylim = (-0.05, 0.8),\n",
    "    yticks = 0.0:0.2:0.8,\n",
    "    ylabel = \"y/L\",\n",
    "    aspect_ratio = 1.0,\n",
    "    grid = false,\n",
    "    overwrite_figure=false\n",
    "    )\n",
    "\n",
    "# create dummy legend entries for GXBeam and Analytical\n",
    "scatter!([], [], color=:black, label=\"GXBeam\")\n",
    "plot!([], [], color=:black, label=\"Analytical\")\n",
    "\n",
    "# plot the data\n",
    "for i = 1:length(M)\n",
    "\n",
    "    local x, y\n",
    "\n",
    "    # GXBeam\n",
    "    x = [assembly.points[ipoint][1] + states[i].points[ipoint].u[1] for ipoint =\n",
    "        1:length(assembly.points)]\n",
    "    y = [assembly.points[ipoint][2] + states[i].points[ipoint].u[2] for ipoint =\n",
    "        1:length(assembly.points)]\n",
    "    scatter!(x/L, y/L, label=\"\", color = i)\n",
    "\n",
    "    # Analytical\n",
    "    x0 = range(0, L, length=100)\n",
    "    deflection = analytical.(x0, E*Iyy/M[i])\n",
    "    x = (x0 + getindex.(deflection, 1))\n",
    "    y = getindex.(deflection, 2)\n",
    "    plot!(x/L, y/L, label=\"\\$\\\\lambda\\$=$(λ[i])\", color=i)\n",
    "end\n",
    "plot!()"
   ],
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   "execution_count": 4
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   "cell_type": "markdown",
   "source": [
    "## Grid Convergence Study"
   ],
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   "source": [
    "We can use this problem to test the accuracy and convergence of this package.  To do so\n",
    "we set $\\lambda = 1$ and repeat the analysis for a variety of grid sizes.  We measure\n",
    "the normalized tip displacement error $\\varepsilon(u)$ using the following expression\n",
    "$$\n",
    "\\varepsilon(u) = \\left| \\frac{u - u^a}{u^a} \\right|\n",
    "$$\n",
    "where $u$ is the calculated tip displacement (at x=L) and $u^a$ is the analytical\n",
    "tip displacement."
   ],
   "metadata": {}
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   "cell_type": "code",
   "source": [
    "grid_sizes = unique(round.(Int, 10 .^ range(0,3,length=25)))\n",
    "\n",
    "L = 12 # inches\n",
    "h = w = 1 # inches\n",
    "E = 30e6 # lb/in^4 Young's Modulus\n",
    "\n",
    "A = h*w\n",
    "Iyy = w*h^3/12\n",
    "Izz = w^3*h/12\n",
    "\n",
    "# bending moment (applied at end)\n",
    "λ = 1.0\n",
    "m = pi*E*Iyy/L\n",
    "M = λ*m\n",
    "\n",
    "# run an analysis for each grid size\n",
    "states = Vector{AssemblyState{Float64}}(undef, length(grid_sizes))\n",
    "for (igrid, nelem) in enumerate(grid_sizes)\n",
    "\n",
    "    local x, y, z, points, start, stop, compliance, assembly, system\n",
    "\n",
    "    # create points\n",
    "    x = range(0, L, length=nelem+1)\n",
    "    y = zero(x)\n",
    "    z = zero(x)\n",
    "    points = [[x[i],y[i],z[i]] for i = 1:length(x)]\n",
    "\n",
    "    # index of endpoints of each beam element\n",
    "    start = 1:nelem\n",
    "    stop = 2:nelem+1\n",
    "\n",
    "    # compliance matrix for each beam element\n",
    "    compliance = fill(Diagonal([1/(E*A), 0, 0, 0, 1/(E*Iyy), 1/(E*Izz)]), nelem)\n",
    "\n",
    "    # create assembly of interconnected nonlinear beams\n",
    "    assembly = Assembly(points, start, stop, compliance=compliance)\n",
    "\n",
    "    # create dictionary of prescribed conditions\n",
    "    prescribed_conditions = Dict(\n",
    "        # fixed left side\n",
    "        1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0, theta_z=0),\n",
    "        # moment on right side\n",
    "        nelem+1 => PrescribedConditions(Mz = M)\n",
    "    )\n",
    "\n",
    "    # perform a static analysis\n",
    "    system, states[igrid], converged = static_analysis(assembly;\n",
    "        prescribed_conditions = prescribed_conditions)\n",
    "\n",
    "end\n",
    "\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "# calculate analytical solution\n",
    "dxa, dya = analytical(L, E*Iyy/M)\n",
    "\n",
    "# extract computational solution\n",
    "dx = [states[igrid].points[end].u[1] for igrid = 1:length(grid_sizes)]\n",
    "dy = [states[igrid].points[end].u[2] for igrid = 1:length(grid_sizes)]\n",
    "\n",
    "# compute error\n",
    "εx = abs.((dx .- dxa) ./ dxa)\n",
    "εy = abs.((dy .- dya) ./ dya)\n",
    "\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using Plots\n",
    "pyplot()\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 7
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=1}",
      "image/png": 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rwAJP+2iABwAUMgIWSp1KZYzGd7E1o6etZbsCapXqauF3/mCXBQAoQQhYKLX6+7Ib4JtXz26Av2elp+M0wAMACgEBC6Va3UpGH11p65kOll5cn90Av/EAIQsAcH4IWCj1LGN0dytbq/o5OuZJ7Wa4Gr+BBngAQMERsIBftf21Af5PsZb+8hkN8ACAgiNgAf+lomP0Smdb7//aAN9ymqsFWTTAAwDODQELOIV+vzbAt4w06vWhp7tpgAcAnAMCFnAadSsZzbvS1r87WBpLAzwA4BwQsIAzsIzRXa1srerv6Lgnxc1w9QoN8ACAsyBgAfnQpobR6gGObom1dPtnfvWb72nvUUIWAODUCFhAPlV0jF7ubGtmL1sr9mSvAP9RJg3wAIC8CFjAOeobk90A3yrS6Ip5noZ/6umXE8xmAQD+DwELKIA6FbMb4F/uZGny1361SnW15HtmswAA2QhYQAEZY/SXZrbWJjmKrmzUfa6nUcs9HXGZzQKA0o6ABZynhlWNFvex9dylll7d5FfrVFfLdzObBQClGQELKASWMbqjpa01Ax1dUN6o8yxP967ydIzZLAAolQhYQCFqXM1o2TW2nrzE0osZfrWd4erzPcxmAUBpQ8ACCpltGd3XxlbaAEcVHSlhlqd/fMFWOwBQmhCwgCLSItJoZT9Ho+MsPf2VX22nu1pBbxYAlAoELKAIlbGMRsfZSh/oqJJj1GmWpztWeDp8ktksACjJCFhAMWgZabSin62nO1iasNGvlqmuFn3HbBYAlFQELKCYOJbRPa2y182KqmSU+IGn2z5xdfA4s1kAUNIQsIBidnFE9rpZr3Sy9N63ATWf5mrWDmazAKAkIWABQWAZo+HNbK1PdtSmhlG/+Z7+sMjV3qPMZgFASUDAAoIoqrLRnN623rzM1oLvAmo61dXbX/sVCBC0ACCcEbCAIDPG6IaLLW0c5OjyekbXL/bUd76nrEOELAAIVwQsIETUqmD03uWOZvS0lbYvuzfrPxv98jObBQBhh4AFhJj+Pkvrkx0lNzAatszT5XM9ffMzIQsAwgkBCwhB1csZTezmaMFVtrb/ElDLaa5e3lJGnp+gBQDhgIAFhLDEepbWJTsa2tTS6HXllDDLU8Z+QhYAhDoCFhDiKpcxer6jrQ8uO6KfTwYUN8PVI2meTrB5NACELAIWECbia/j15QBHKa0sPfalX+3fd/XFXhYoBYBQRMACwkh5x+jxS2ytHuDIMdKlMz3du8rTEZfZLAAIJQQsIAy1qWG0qr+jJ9pbemm9X61TXS3+ntksAAgVBCwgTJWxjP6nja01Ax1dWMGox1xPtyx19eMxZrMAINgIWECYa1LNaOk1tv7Txdb72wNqMtXVm1vZbgcAgskJdgGFISMjQ2PHjtWhQ4dk27YmTZokY0ywywKKjWWMbmtidE200Z0rPd20xNPrW4zGd7bVKII/CwBQ3II2gzVq1Cj5fD4ZY5SRkZHr2NatW5WQkKDY2FjFx8drw4YNZ7xWixYtNH78eE2ePFlHjhzR4cOHi7J0IGRdWNHonR6OPrjC1jc/B9Qy1dU/v2RJBwAobkELWMnJyVq2bJliYmLyHBs2bJiGDh2qLVu2KCUlRUOGDJEk7d69W4mJibl+UlJSJEkLFizQddddpwsuuEAVK1Ys1vcChJoroyxlJDv6a3NLo9P8ajfD1fLdNMEDQHExgSA3avh8Ps2ZM0ctWrSQJO3Zs0exsbHat2+fHMdRIBBQnTp1tHLlSvl8vrNeb8SIERoyZIji4uLyHEtPT1e7du2UlpZ2yuNAKNu/f78iIyPP+bw1PwY09FNPq/cGNKyppScvsVStHLcNUbwKOn6BcBVyPViZmZmqW7euHCe7NGOMoqOjtXPnztMGrAULFuj999+X67qSpJYtW57xNUaOHKmIiAgNHDhQSUlJhVo/UFQOHDhQoPOijTS3i/T/vimjJ9aX04xtrp5sfVx967miVRHFpaDjFwi2gv7DIOQClqQ8Depnm2Tr2bOnevbsme/rjx07lhkshKXzmQG4v4Z0Q7OA/rrc059XVVCfaKNxnWxFVyZloXgwg4XSJOSWaYiKilJWVlbObFQgEFBmZqaio6ODXBkQ/qIqG73fy9H0RFvp+wJqNtXVc+s8uX6a4AGgMIVcwKpVq5batm2ryZMnS5JSU1Pl8/ny1X8FIH8GNLC0cZCjW2It3b3Srw4zXaXvI2QBQGEJWsAaMWKE6tevr6ysLCUmJqpRo0Y5xyZMmKAJEyYoNjZWY8aM0cSJE4NVJlBiVS1r9FInWyv62XL90iXvu7prhadDJwlaAHC+gv4twuLEtwgRzoryW1gn/QE9t86vh9P8uqC89FKCrX6+kJvgRhjjW4Qobc7Y5P7jjz9qyZIlWrVqlXbt2qWjR4+qRo0aaty4sbp06aL27dsXV50AilAZyyilta3kBpb+utxT/wWeron268UEW74qNMEDwLk6ZcBasmSJXnjhBX3wwQc6efKkoqOjdcEFF6h8+fLasGGD3nrrLR0+fFg+n09DhgzRX//6V1WtWrW4awdQyBpWNZrT29aM7QGNWuGp2VRXD8VZurOlpbI2QQsA8ivPPYBevXqpX79+ioiI0PTp07V//35t375dq1ev1rJly7R+/Xr9/PPPWrdunYYPH67p06erYcOG+uCDD4JRP4BCZozRwAaWNiY7+kszS/9Y7Vfb6a4++YGV4AEgv/LMYHXr1k1Tp05VRETEaU8yxqh58+Zq3ry5UlJS9Mknn+jnn38u0kIBFK8qZY3+famtmy62NHyZp25zPN0c69fT8bZqVmA2CwDOhCZ3IEwEs0nYHwjo/20K6H++8GQkPRVv68+NjSyWgkc+0eSO0uacvya0d+/eoqgDQAizjNHQppY2DXLUJ9rotk89dZ7lae2PpebfZwBwTs45YCUmJmrHjh25Hvv97wBKploVjF6/zNGSPrYOnggoboare1aydhYA/N45B6xx48bp6quv1rp16/Tjjz/qjjvuUMeOHYuiNgAhqlsdS2sGOnqsvaVxG/xqOtXVjG3+s+4bCgClxTkHrM6dO2vSpEnq0aOHWrdurapVq2rjxo1FURuAEFbWNrq/ja0NyY5aRRoNXOip73xP238hZAHAOQessWPHKikpSf3791dERIQuu+yyM37jEEDJ1uDXtbNSE22t+TF7A+kn13g64RG0AJRe5xywli5dqoULF+rVV1/VvHnzdPfdd2vq1KlFURuAMPHb2lkbfl0768HVfrWZ7mopa2cBKKXOOWBNnTpVF198sSQpKipKCxcu1PPPP1/YdQEIQ7+tnZU+wFG1skaXzfF08xJXe48ymwWgdDnjXoR16tRR69at1apVK7Vq1UqtW7dW06ZN5Tj/d1qNGjW0YMGCIi8UQPhoVcNoWV9bEzcHdN/nnmbtdPVUvK0hrJ0FoJQ44wzW3/72N0VGRmru3Lm65ZZb1KZNG1WuXFmtW7fWjTfeqGeeeUaSVLFixWIpFkD4sIzRbU0sbR7kqG+00dBPPXWa5WkNa2cBKAXyvZL78ePHlZGRocWLF2vixIn64YcfVLlyZWVlZRV1jYWGldwRzsJ9JeylP/g14jNPGw9KI5pZerSdpWrlmM0qLcJ9/ALnKt89WOXKlVO7du10zz33KD09XR07dtTrr79elLUBKEG61bH05UBHT8dbem2LX02munpzK2tnASiZzrnJXZIqVKigJ598Uo888khh1wOgBCtjGd3dytamQY661TG6aUn2JtIZ+wlZAEqWMwas+fPna9euXac8FhUVpfT09CIpCkDJVq+S0XuXO1pwla09RwNqM93V3Ss9/XKCoAWgZDjjtwivuOIKGWNUo0aNnG8StmzZUnXq1NG7776rmjVrFledAEqgxHqWvkoyenadX4+l+/XuN379+1Jb1zY0MnzbEEAYO2PA2rVrl7788kutWbNGX331lebNm6eXXnpJnuepatWqmjRpUjGVCaCkKvfrljvXN7J0xwpPf/zY06ubjMZ1stWkGiELQHg6Y8CqVauWevfurd69e+c8duLECf3444+qXbu2LKtALVwAkEd0ZaPpPR19mOnXX5d7apXq6u6Wlh5oa6lSGYIWgPByzgmpbNmyqlOnDuEKQJG4MspSRpKjB9paej7Dr6ZTXU3fxrcNAYSXPClp7NixOn78+Dld5KuvvtLChQsLrSgApVt5x2h0nK31yY5aRRolLfR05TxPW38iZAEID3kC1htvvKGYmBjdddddWrFihU6ePHnKE7///ntNnDhRiYmJ6ty5s3766aciLxZA6dKwqtGcKxzN7GVr08GAWkxzNXq1p6MuQQtAaMvTg/X5559r+vTpeuGFF/T888+rbNmyio2NVc2aNVWuXDkdPHhQ27Zt0549e1SjRg3ddNNNeuutt1S7du1g1A+gFOgbYymxntGTa/x66iu/3tzq14sJtq6JoVUBQGg641Y53377rRYtWqS0tDT98MMPOnbsmCIjI9W4cWN16tRJl112mcqUKVOc9Z4XtspBOGOrkWxbDgb01+We5n8X0DXRRi90tNWgKk3woY7xi9LmjN8ibNiwoRo2bKjbbrutuOoBgDOKrWY070pb07cHdMcKT82mufqf1pZSWluq4BC0AISGM86vP/3001q8eHFx1QIA+WKMUVIDSxsHObqjhaUn1vjVfJqr2Tv8wS4NACSdJWC98sor2r179ymPPffcc/roo4+KpCgAyI/KZYyejLe1LsnRxVWN+s731Geeq6/5tiGAIDtjwNq1a5fq1aunQCCg6667Tt9//33OsbJly+rRRx8t8gIB4Gwa/3rbMDXR1roDATWf5urB1Z6O8G1DAEFyxoBVpUoVnThxQidPntS7776r7777LudY06ZNtX79+iIvEADywxijgb/eNkxpbenpr/xqNtXVDBYpBRAEZwxYnTt31vTp0/Xll19KkjZv3pxz7NixY/I8r2irA4BzVNExeqx99iKlzasbDVzo6YoPPW05SMgCUHzOGLAeeughTZ48WZ07d9aFF16ozz//XF9++aUOHz6ssWPHqkGDBsVVJwCck0YRRnN625rVy9bWnwNqkerq/s89HT5J0AJQ9M64TEPr1q21YcMGLVq0SF27dtWxY8fUvXt37dmzR1J2EzwAhCpjjK6JMUqsZ/T0V36N+cqvyV/79eyltpIbGBnDsg4AisYZA5Yk1atXTzfddFPO7+vXr9fHH3+smjVrqlu3bkVaHAAUhgqO0UPtbN10saU7VnoavMjT5XWNXkqw1bQ6IQtA4TvnfSYiIyOVnJxMuAIQdhpUNZrZy9Hc3rZ2HAqoVaqre1d5+uUEtw0BFC428gJQ6lwVbWldkqOH21kat96vJlNdvfM13zYEUHgIWABKpfKO0T/a2to4yNGltYyuW+yp+1xPGfsJWQDOHwELQKkWU8Uotaejj6609cORgNpMd3XXCk8/cdsQwHkgYAGApF71s28bPtHe0n82+dV4iqvXt/jl57YhgAIoUQHrgQceUGJiYrDLABCmytpG97WxtXmwox51jW5e6qnTLE9pewlZAM5N0ALWqFGj5PP5ZIxRRkZGrmNbt25VQkKCYmNjFR8frw0bNpz1elOnTlVcXFxRlQugFKlXyejtHo6W9LF12A3okvddDfvU075jBC0A+RO0gJWcnKxly5YpJiYmz7Fhw4Zp6NCh2rJli1JSUjRkyBBJ0u7du5WYmJjrJyUlRVu3blVaWpoGDhxY3G8DQAnWrY6l9AGOXuhoacq3fsVOcTVuvSfXT9ACcGYmEOTvJft8Ps2ZM0ctWrSQJO3Zs0exsbHat2+fHMdRIBBQnTp1tHLlSvl8vlNe44UXXtCmTZtUrlw5TZ8+XWPHjlXfvn3zPC89PV3t2rVTWloas10IO/v371dkZGSwyyi19h4N6O9feJq4OaBWkdJLCba61ClRXRZFivGL0uasK7kXt8zMTNWtW1eOk12aMUbR0dHauXPnaQPW3/72t5z/zsjIOGW4AoDzUbOC0atdHQ1t6tfIz/zqOsfTdRf59a8OtupWYjV4ALmFXMCSlGd/sHOZZFu4cOFZnzNy5EhFRERo4MCBSkpKOuf6gGA4cOBAsEuApItsaW4X6Z0djh7NKKeZO/y6t8lxDbv4pMoyoXVajF+Eq4LOvIZcwIqKilJWVpZc1825RZiZmano6OhCe42xY8dyixBhiVssoeOvNaQbmwf0UJpfj60vr3cyy+uFjrZ6R5GyTofxi9Ik5P5PUKtWLbVt21aTJ0+WJKWmpsrn85329iAABEu1ckYvJNj6cqCjOhWNrpjnacB8V9t+pgkeKO2CFrBGjBih+vXrKysrS4mJiWrUqFHOsQkTJmjChAmKjY3VmDFjNHHixGCVCQBn1TLS6OOrbb3bw9bqfQE1m+bqoTRPR1yCFlBaBf1bhMWJbxEinPEtrPBw+GRA/1zj1zNr/apTUXr2UlsDfCZPb2lpw/hFaRNytwgBIJxVKmP0xCW21ic7al7dKGmhp94fetp4oNT8WxaACFgAUCQaRRjNvcLR7F62vv0loFapru5eySbSQGlBwAKAItQnxlJGkqNH21savzF7E+lJbCINlHgELAAoYuUdo/vb2No8KHsT6VuWekqY5emLvf5glwagiBCwAKCY1K+cvYn00j62jroBxb/vachSV7uPMJsFlDQELAAoZl3rWEob4GhcJ0szdgQUO8XV8+s8nWQTaaDEIGABQBA4ltHtzWxtHezoukaW7lrpV5tUV4u+47YhUBIQsAAgiGqUN3qls620AY4iyxklfuApaYGr7b8wmwWEMwIWAISAthcYfXKNrbe621q5J6CmU109nObpKKvBA2GJgAUAIcIYo+saWdo82NEdLSw9ucavplNdpW7zqxRtugGUCAQsAAgxlcsYPRlvKyPZUYvqRskLPfX8wNP6/YQsIFwQsAAgRF0cYTTnCkdzetvacSig1tNd3bnC08HjBC0g1BGwACDEXR1tKSPZ0RPtLb26ya/YKa4mbmI1eCCUEbAAIAyUs43ua2Nr82BHveob3fqppw7ve1qxm2UdgFBEwAKAMFKvktHk7o4+vcaWFwgoYZanPy1x9QOrwQMhhYAFAGGo84WWvujvaEJnWx9kZq8G//RXno57BC0gFBCwACBM2ZbR0KaWtgx29OdYS3//wq8W01zN3cltQyDYCFgAEOaqlzN6IcHWVwMdxVQ26vORp6vnudpykNksIFgIWABQQjSPNFpwla3URFsbDgTUItVVyipPP58gaAHFjYAFACWIMUYDG1jaMMjRg20tjV3vV+Mprl7fwrIOQHEiYAFACVTBMXowztamwY661TG6eamnhFmevthLfxZQHAhYAFCCRVc2evdyR0v62DrqBhT/vqc/L3W1m2UdgCJFwAKAUqBbHUtpAxy93MnSzB3Zyzr8e62nEyzrABQJAhYAlBKOZfSXZra2DnZ048WWUj73q1Wqq3mZ3DYEChsBCwBKmcjyRmM72fpygKM6FY2unOep70euvv6J2SygsBCwAKCUalXD6OOrbU253NaaHwNqPs3V/Z97OnSSoAWcLwIWAJRixhgNamhp02BH97ex9HxG9rIOk7f6FWBZB6DACFgAAFV0jB5uZ2vjIEcJtY1uXOKp0yxPq1nWASgQAhYAIIevitHUREcfX23r0K/LOgxhWQfgnBGwAAB5dK9rKX2Ao7GdLL3Psg7AOSNgAQBOybGMbm9ma8vvlnX4kGUdgLMiYAEAzqjGr8s6rBnoqG5Fo6vmeeozz9VWlnUATouABQDIl5aRRouutjUt0VbGgexlHVJWefr5BEEL+D0CFgAg34wxSmpgaeMgRw+2tTR2ffayDpO2+OVnWQcgBwELAHDOKjhGD8bZ2jTYUbc6Rrcs9dRxpqdVe+jPAiQCFgDgPERXNnr3ckef9LF1wh/QpTM93bzE1Q8s64BSjoAFADhvXepYWt3f0YTOtubszF7W4emvPB1nWQeUUgQsAEChsC2joU0tbb3W0Z9jLf39C79aTHM1Z4dftGehtCFgAQAKVfVyRi8k2PpqoCNfFaNr5nu69rMK2nSQlIXSg4AFACgSzSON5l9pa0ZPW1//YqnlNFd3rfB08DhBCyUfAQsAUGSMMervs7S812E92t7Sfzb5FTvF1aub/PL8BC2UXCUiYG3fvl1NmzbV8OHD9fDDDwe7HADA75S3pfvb2No82NEV9Y2GfurpkvddLdvFsg4omYIWsEaNGiWfzydjjDIyMnId27p1qxISEhQbG6v4+Hht2LDhrNeLiIjQsWPH1KBBg6IqGQBwnupVMnqju6PlfW05llGX2Z7++LGrzEPMZqFkCVrASk5O1rJlyxQTE5Pn2LBhwzR06FBt2bJFKSkpGjJkiCRp9+7dSkxMzPWTkpKimJgYrVy5Uq+99ppmzZql7du3F/O7AQCci461La3sZ+u1brYWfx9Q4ymuHkv3dNQlaKFkcIL1wl27dj3l43v27FF6errmz58vSUpKStLIkSO1fft2+Xw+LVy48LTXNMaodu3a+uWXX4qkZgBA4bGM0c2xRgN9Rk986ddjX/o1cbNfz3SwldTAyBgT7BKBAgtawDqdzMxM1a1bV46TXZoxRtHR0dq5c6d8Pt8pz1m8eLHeeOMNSVK1atXUsmXLM77GyJEjFRERoYEDByopKalQ6weKyoEDB4JdAlBgZxu/910sJV9o9ODa8hq0SOpc09U/Wx9X8wh6tBBckZGRBTov5AKWpDz/agmcZYW67t27q3v37vm+/tixYxUXF1eg2oBgKugfdCAUnG38RkZK82KkeZl+3blSumyRo2FNLD3W3lKN8sxmIbyE3LcIo6KilJWVJdd1JWWHq8zMTEVHRwe5MgBAcbgiytLaJEf/7mDp7W/8uniKq5cyPLks64AwEnIBq1atWmrbtq0mT54sSUpNTZXP5zvt7UEAQMlTxjK6o6WtLYMdJTcw+tsKv9pMd7XwO24ZIjwELWCNGDFC9evXV1ZWlhITE9WoUaOcYxMmTNCECRMUGxurMWPGaOLEicEqEwAQRLUqGP2ni6O0AY6qlzXq+YGnAfNdffszs1kIbSZwtganEiQ9PV3t2rVTWloaPVgIO/v376cHC2GrMMZvIBDQlG8DuneVp91HpbtbWfp7G0uVy9CfhdATcrcIAQA4FWOMrr3I0qbBjv6njaXn1mVvu/PmVr/8pWeuAGGCgAUACCsVHaNH2tnaNMhRlwuNblriqdMsT5/voT8LoYOABQAISzFVjN673NGSPraOugF1mOnp5iWufjjCbBaCj4AFAAhr3epYShvgaHxnS3N2BhQ7xdVTazwd9whaCB4CFgAg7NmW0bCmtrZe6+jWxpYeWO1X82muZm73n3WxaqAoELAAACVG9XJGz3W0tTbJ0UVVjPov8NT7Q0/r9xOyULwIWACAEqdpdaN5V9qa3cvWtl8Caj3d1ajlnvYfI2iheBCwAAAlkjFGfWIsZSQ7evISS5O2ZC/r8MoGtt1B0SNgAQBKtHK20b2ts7fd6RdjNOIzv+JmuFr8Pcs6oOgQsAAApcKFFY0mdnP0eX9blR2jHnM9JS1wtY1td1AECFgAgFKlfU1Ln/W1Nbm7rZV7Amo6zdUDX3g6dJKghcJDwAIAlDrGGF3fyNLmwY7ubWXpmXV+NZ7iavJWlnVA4SBgAQBKrcpljB5rb2tjsqOOtY1u/HXbnS/20p+F80PAAgCUeg2qGk1LdPTx1bYOuQHFv+/plqWudrHtDgqIgAUAwK+617WUPsDRK50szd4R0MVTXD39Fdvu4NwRsAAA+C+OZTS8Wfa2O0MaW/r7F2y7g3NHwAIA4BSqlzN6nm13UEAELAAAzqDZr9vuzGLbHZwDAhYAAGdhjNE1v9t25+Iprl5m2x2cBgELAIB8+u9td/rHGI38zK+20119/B3LOiA3AhYAAOfov7fdqVrW6PIPPA1c4Opbtt3BrwhYAAAUUPualpZdY+vt7ra+2BtQ06mu/s62OxABCwCA82KM0R8bWdo0yNH/tLH03Dq/Yqe4emOLX36WdSi1CFgAABSCSmWMHmlna9MgR10uNPrTUk8dZ3patYf+rNKIgAUAQCGKqWL03uWOlvaxdcIf0KUzPd202NX3h5nNKk0IWAAAFIGudSyt7u9oQmdbH2YFFDvF1T+/9HTMJWiVBgQsAACKiG0ZDW1qaetgR0ObWHooza9m01xN38a2OyUdAQsAgCJWrZzRsx1trUt21LSaUdJCT5fP9bT2R0JWSUXAAgCgmDSpZjT3Ckdze9v6/khAbWe4un2Zp31su1PiELAAAChmV0VbWpvk6JkOlt7+xq+L33P1Yoank2y7U2IQsAAACIKyttGdLbO33Rnc0NIdK/xqnerqo0yWdSgJCFgAAARRrQpGE7rYSh/oqGZ5oyvmebrmI1dbDjKbFc4IWAAAhIA2NYyW9LE19XJb6/YH1CLV1b2rPP10gqAVjghYAACECGOMkhta2jjI0ei2ll7ekL3tzsRNfnn0Z4UVAhYAACGmgmP0QJytzYMc9axndOunnuJnulq2i/6scEHAAgAgRNWvbDS5u6PP+tqyZNRltqc/LHK18xCzWaGOgAUAQIhLqG1pVX9bk7rZWvpDQE2muHo4zdMRtt0JWQQsAADCgGWM/hRractgR39rYenJNX41nuLq3W/YdicUEbAAAAgjVcoaPRlva8MgR+0vMPrjx566zPaUtpeQFUoIWAAAhKGLqhrN6OVowVW2Dp4I6JL3XQ1Z6mrXEYJWKHCCXUBhefTRR7Vv3z7Ztq1//etfcpwS89YAADitxHqW1gw0+s8mvx5c7dfUba4eaGvpby0slbNNsMsrtYI2gzVq1Cj5fD4ZY5SRkZHr2NatW5WQkKDY2FjFx8drw4YNZ7zWnDlztGHDBjmOo5o1axKuAAClimMZ3d7M1tbBjm6OtfT3L/xqPs3VzO30ZwVL0AJWcnKyli1bppiYmDzHhg0bpqFDh2rLli1KSUnRkCFDJEm7d+9WYmJirp+UlBStX79eTZo00bPPPqvDhw9r6dKlxf12AAAIusjyRi8m2Fqb5OiiKkb9F3jq9aGn9fsJWcUtaFM9Xbt2PeXje/bsUXp6uubPny9JSkpK0siRI7V9+3b5fD4tXLgwzzlvv/229u/fL0mqWbOmfvrpp6IrHACAENesutG8K23N3RnQnSs9tZ7u6i9NLT3SzlJkeW4bFoeQu5eWmZmpunXr5tzmM8YoOjpaO3fulM/nO+U5SUlJGj58uO6++24dOHBAI0aMOONrjBw5UhERERo4cKCSkpIK+y0AReLAgQPBLgEoMMZvcCRUkT7pIb36TRn9a2M5Td7q6X+aHdctDU/K4Wtu+RIZGVmg80IuYEnZoeq/ne3+cbly5fTaa6/l+/pjx45VXFxcgWoDgqmgf9CBUMD4DZ7RNaVhrQJ6YLWn+78qrzd3ltdzl9rqWZ+UVVRC7pONiopSVlaWXNeVlB2uMjMzFR0dHeTKAAAIX7UrGr3a1dHqAY6qlzXq9aGnfvNdff0T/VlFIeQCVq1atdS2bVtNnjxZkpSamiqfz3fa24MAACD/4i4w+uQaW+/2sPXlvoCaTXN13ypPP58gaBWmoAWsESNGqH79+srKylJiYqIaNWqUc2zChAmaMGGCYmNjNWbMGE2cODFYZQIAUOIYY3TtRZY2DXb0QFtLL633K3aKq//d7JefZR0KhQmUogUy0tPT1a5dO6WlpdGDhbCzf/9+elgQthi/oS3zUED/87mnt78JqN0FRi90tNTpwpC7yRVW+PQAACjloiobvdXD0bJrbElS59me/vixq52HSs0cTKEjYAEAAElSpwstfd7f1v92tbX4+4CaTHH1cJqnIy5B61wRsAAAQA7LGN3S2NKWwY5GtbD05Bq/mkxx9e43bLtzLghYAAAgj6pljcbE29owyFG7C4z++LGnLrM9pe0lZOUHAQsAAJzWRVWNZvRytPAqWz+dCOiS910NWepq1xGC1pkQsAAAwFldXs/SlwMdje1k6f0dAcVOcfX0V56OewStUyFgAQCAfHEso9ub2do62NEtsZb+/oVfzae5mrmd/qzfI2ABAIBzElne6IUEW2uTHF1Uxaj/Ak+9PvSUsZ+Q9RsCFgAAKJBm1Y3mXWlrdi9b238JqM10VyM/8/TjMYIWAQsAABSYMUZ9YiytT3Y0Jt7Sm1v9uniKq7HrPbn+0hu0CFgAAOC8lbWN7mlla8tgR0k+o1HL/Woz3dWCLH+wSwsKAhYAACg0tSsavdrVUdoAR5HljHp96KnffFdf/1S6ZrMIWAAAoNC1vcBoaR9b7/WwtebHgJpNc5WyytPPJ0pH0CJgAQCAImGM0eCLLG0a5OjBtpbGbcjuz5q4yS+vhPdnEbAAAECRquAYPRhna/MgRz3rGd36qaf4ma6W7Sq5/VkELAAAUCzqVzaa3N3R8r62bGPUZbanPyxytfNQyZvNImABAIBi1bG2pZX9bE3qZmvpDwE1nuLqoTRPh0+WnKBFwAIAAMXOMkZ/irW0ZbCjO1taGrPGryZTXb3zdcnYdoeABQAAgqZKWaN/XmJr4yBH8TWNrlvsqfNsT1/sDe/+LAIWAAAIuoZVjVJ7Ovr4alu/nAwo/n1Ptyx19cOR8JzNImABAICQ0b2upfQBjl7pZGn2joBip7gas8bTMTe8ghYBCwAAhBTHMhrezNbWax3d2tjSg6v9aj7N1Yxt4dOfRcACAAAhqXo5o+c62lqX7KhxNaOBCz0lfuBp3f7QD1kELAAAENKaVDP64ApHc3vb+u5wQG2mu7p9mad9x0I3aBGwAABAWLgq2tLaJEfPdLD09jd+XfyeqxcyPJ0MwW13CFgAACBslLWN7mxpa+tgR9c2tHTXSr9apbqalxlayzoQsAAAQNipWcFofBdb6QMcXVjB6Mp5nvrMc7X5YGjMZhGwAABA2Gpdw+jjq21NS7S1/kBALaa5unulp4PHgxu0CFgAACCsGWOU1MDSxkGOHm1vacJGvy6e4mrCRk9ekPqzCFgAAKBEKO8Y3d/G1pbBjq6KMhq+zK92M1wt+b74+7MIWAAAoESpW8no9cscrepnq4Jj1H2up+SFrrb9XHyzWQQsAABQIsXXsrS8r63J3W2t3BNQ02mu/vGFp0Mniz5oEbAAAECJZYzR9Y0sbR7kKKWVpWfX+RU7xdUbW/zyF+G2OwQsAABQ4lUqY/Roe1ubBjnqcqHRn5Z66jjT04rdRdOfRcACAAClRkwVo/cud/RJH1sn/QElzPJ0w2JXWYcKdzaLgAUAAEqdLnUsfdHf0f/rYmvBdwE1nurqsXRPR93CCVoELCBMpKamBrsEoMAYvwhFtmU0pImlLYMd3d7M0mNf+tVkqqsp3/gV+LU/65133inQtQlYQJiYPn16sEsACozxi1AWUdboXx1srU921KaG0bUfe+o2x1P6vkCBA5ZTyDWGtKNHj0qSNm7cGORKgHP3008/KT09PdhlAAXC+EW4eOgCqbfn1zNr/UpYLcUfPKgjR46oYsWK53QdEwgU4XcUQ8xbb72lG264IdhlAACAMJKWlqa4uLhzOqdUBax9+/bpo48+ks/nU4UKFYJdDgAACANNmjRhBgsAACDYaHIHAAAoZAQsAACAQkbAAgAAKGQELAAAgEJWqtbBOp3jx49r2LBhqlq1qjzP07hx44JdEpAvBw4c0D333KP58+crMzMz2OUA+bZ06VK98cYbOnbsmKpXr66xY8cGuyQg3zIyMjR27FgdOnRItm1r0qRJMsbkek6Jm8EaNWqUfD6fjDHKyMjIdWzr1q1KSEhQbGys4uPjtWHDBknZKwx369ZNL774oqpXr64VK1YEo3SUcgUZu9WrV9fEiRPVuHHjYJQMSCrY2O3WrZsmTpyot956Szt37tQvv/wSjNKBAo3fFi1aaPz48Zo8ebKOHDmiw4cP57luiQtYycnJWrZsmWJiYvIcGzZsmIYOHaotW7YoJSVFQ4YMkSTt2LFDPp9PktSwYUPt2LGjOEsGJBVs7AKh4HzG7gcffKCmTZuqSpUqxVUukEtBx++CBQt03XXX6YILLjjlGlklLmB17dpV9evXz/P4nj17lJ6enrOSe1JSkrZt26bt27crKioqJ1Rt375d0dHRxVozIBVs7AKhoKBj99VXX9Xnn3+up556qjjLBXIp6Pjt2bOn3n77bVmWpTVr1uQ5v8QFrNPJzMxU3bp15TjZbWfGGEVHR2vnzp1KSkrSkiVLdNddd2nv3r1KSEgIcrXA/znT2JWk4cOHa9OmTRo+fLi++eabYJYK5HKmsZuamqpHH31Uu3bt0vDhw7V3794gVwvkdqbxu2DBAo0YMULDhg2T67pq2bJlnvNLVZP77xvQflvEvnz58po0aVIQKgLy53RjV5LGjx9f3OUA+Xa6sZuUlKSkpKRglATk2+nGb8+ePdWzZ88znltqZrCioqKUlZUl13UlZX9ImZmZ3A5EyGPsIlwxdhHOznf8lpqAVatWLbVt21aTJ0+WJKWmpsrn8+U0twOhirGLcMXYRTg73/Fb4jZ7HjFihGbOnKldu3bpggsuUOXKlfX1119LkjZv3qybb75ZP/74o6pWrarXX39dzZs3D3LFQDbGLsIVYxfhrKjGb4kLWAAAAMFWam4RAgAAFBcCFgAAQCEjYAEAABQyAhYAAEAhI2ABAAAUMgIWAABAISNgAQAAFDICFlDKPfzwwzLGqGvXrqc8Vrly5WKt5+abb1aLFi2K9TXPVUpKiurUqSPLsnTHHXec8jmTJk2SMUYNGzbM2Wrj98f27dt33rXs27dPxhj2UwVCDAELgCTp008/1ccffxzsMkLeRx99pH/961+677779Nlnn+nOO+884/O3bdumN954o5iqAxAqCFgAVKlSJXXo0EGPPPJIsEspckePHj2v8zdu3ChJGjVqlDp27KiYmJgzPr9Hjx564okn8sxiASjZCFgAJEmjR4/WJ598oiVLlpz2OUuWLJExRqtXr871eJ8+fXTZZZfl/P7brcW0tDR16NBBFSpUUNu2bZWWlqZjx47pL3/5iyIjI1W/fn09//zzp3ytDz/8UC1atFD58uXVrl07rVy5Ms9zJk2apFatWql8+fKqV6+e/vGPf+QKMr/diluxYoV69uypSpUq6Z577jnt+9u/f79uvfVW1axZUxUqVFB8fLzmz5+fc/yyyy7LmbGybVvGmDN+XpL04IMPatu2bTkbxp7OsWPHdPfdd6tevXoqV66cWrZsqbfffjvP81599VX5fD5VrFhRl19+ec6eab93ts/m4MGDuu2221SvXj2VL19eUVFR+sMf/nDGGgHkHwELgCTpqquu0iWXXKKHH364UK538uRJ/fnPf9Zf/vIXpaamynVdDRw4UEOGDFGFChX03nvvqX///rrzzju1fPnyXOf+8MMPuv3223XvvfdqypQpKleunHr37q09e/bkPOfZZ5/Vrbfeqt69e2v27Nm677779OKLL+qBBx7IU8v111+vyy+/XHPmzNGNN954yno9z9OVV16pGTNm6IknnlBqaqpq166tq666SosXL5Ykvfzyy/rrX/8qSVqxYoVWrFihuLi4M34OLVq0UFJSkh5//PEzzmJdf/31evnll3XXXXdp1qxZat++va6//nq9+eabOc+ZM2eOhg4dqu7du2vGjBnq0aPHKUNRfj6bu+66S3PmzNE///nPnNue5cqVO+N7AXAOAgBKtYceeihQqVKlQCAQCMyePTsgKbBkyZI8xwKBQGDx4sUBSYEvvvgi1zWuvvrqQLdu3XJdU1Lgww8/zHnst2tfe+21OY+5rhuoVatW4I477sh57E9/+lNAUmDRokU5jx04cCBQuXLlwP333x8IBAKBn3/+Odfvvxk3blygQoUKgX379gUCgUDgtddeC0gKPP3002f9HGbOnBmQFJg7d27OY57nBZo2bZrrvf3rX/8K5Od/nb+99t69ewNr164NGGMCkyZNynMsEAgEvvrqq4CkwLhx43Jdo1evXoGYmJic3zt06BDo0qVLrufcf//9AUmB1157LRAI5P+zad68eeCuu+466/sAUDDMYAHI0adPH8XFxRVKL5ZlWerRo0fO77GxsZKkxMTEnMds29ZFF12kzMzMXOdGRETkOrdatWrq0aNHzm3C5cuX69ChQxo0aJBc18356dGjh44ePaqMjIxc17vqqqvOWu+nn36qKlWq5HquZVkaPHiwli9fLs/zzuHd59ayZUv1799fjz/++Cmv8+mnn0qSrr322lyP//GPf9SOHTuUmZkpz/OUlpamAQMG5HpOcnJyrt/z+9nExcVp0qRJeuaZZ/J8XgDOHwELQC6jR4/W4sWLc/7SL6gKFSqobNmyOb//9t/VqlXL9byyZcvq2LFjuR6rWbNmnuvVqlVLP/zwgyTlLG8QFxenMmXK5Pw0bdpUkvIEtlq1ap213gMHDqh27dp5Hr/wwgt18uRJHTp06KzXOJPRo0frm2++OWVf1YEDB+Q4jmrUqJHntaXs3rC9e/fKdd087+X3Nef3s3nppZd044036t///rdatmyp6OhovfLKK+f1HgH8HyfYBQAILf369VObNm30yCOPqHPnzrmOlS9fXpJ04sSJXI/v378/V5g6X3v37s3z2J49e1SnTh1JUmRkpCRp+vTpioqKyvPcBg0a5PrdGHPW14yMjNTu3bvzPL5r1y6VKVPmvNcDa9Omjfr27avHH39cKSkpeV7bdV3t378/57399tq/Ha9Zs6Ycx8nVhyYpT835/WwiIiL0/PPP6/nnn9e6dev0wgsv6Pbbb1fz5s1PuSYagHPDDBaAPEaPHq1FixZp2bJluR6vX7++pP9bqkDKDj5r164t1Nf/6aefcq3J9dvvHTp0kCQlJCSoYsWKysrKUvv27fP8/H4mKD86d+6sX375RfPmzct5zO/3a+rUqUpISJBt2+f9vkaPHq0tW7bonXfeyfPakjRlypRcj7/33nuKiYlRVFSUbNtWXFycZsyYkes506ZNy/V7QT6bli1b6rnnnpMkbdq06bzfJwBmsACcQv/+/dWqVSstWrRIlSpVynm8fv36OetlRUREyLZtjRkzRhEREYX6+pGRkRoyZIgeeeQRVatWTWPGjJGknFXTIyIi9OijjyolJUVZWVnq3r27LMvSt99+q5kzZyo1NVUVK1Y8p9e8+uqrFR8frxtvvFH//Oc/Vb9+fY0fP16bN2/WuHHjCuV9xcXF6ZprrtHs2bNzPd6qVSslJSXprrvu0pEjR9S8eXNNmTJF8+bNy7VI6T/+8Q/169dPt9xyi/7whz9o9erVeW455vez6dSpkwYMGKAWLVrItm298cYbKlu2rLp06VIo7xUo7QhYAPIwxmj06NF5Gqgl6a233tJtt92mm2++WXXq1NHjjz+uN99887x7lP5bnTp19NRTT+nee+/VN998o+bNm+ujjz7K1W/025pRzz77rF566SWVKVNGF110kfr06VOg25W2bevDDz/Uvffeq/vvv1+HDh1Sq1atNHfu3FxrfJ2v0aNH5wlYkjR58mT94x//0DPPPKN9+/YpNjZWkydP1vXXX5/znL59+2r8+PF64okn9O6776pDhw565513lJCQkOta+flsOnXqpDfeeEPbtm2TZVlq2bKlZs+endOrBeD8mEAgEAh2EQAAACUJPVgAAACFjIAFAABQyAhYAAAAhYyABQAAUMgIWAAAAIWMgAUAAFDI/j/9/wEBUybBswAAAABJRU5ErkJggg==",
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     "metadata": {},
     "execution_count": 8
    }
   ],
   "cell_type": "code",
   "source": [
    "# plot the x-error\n",
    "p1 = plot(grid_sizes .+ 1, εx, label=\"\",\n",
    "    xlabel = \"Number of Nodes\",\n",
    "    xaxis=:log,\n",
    "    xlim = (10^0, 10^3),\n",
    "    xtick = 10.0 .^ (0:3),\n",
    "    ylabel = \"\\$\\\\varepsilon(u_x)\\$\",\n",
    "    yaxis=:log,\n",
    "    ylim = (-Inf, 10^0),\n",
    "    ytick = 10.0 .^ -(0:7),\n",
    "    overwrite_figure=false,\n",
    "    show=true)"
   ],
   "metadata": {},
   "execution_count": 8
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=1}",
      "image/png": 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",
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    }
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   "cell_type": "code",
   "source": [
    "# plot the y-error\n",
    "p2 = plot(grid_sizes .+ 1, εy, label=\"\",\n",
    "    xlabel = \"Number of Nodes\",\n",
    "    xaxis=:log,\n",
    "    xlim = (10^0, 10^3),\n",
    "    xtick = 10.0 .^ (0:3),\n",
    "    ylabel = \"\\$\\\\varepsilon(u_y)\\$\",\n",
    "    yaxis=:log,\n",
    "    ylim = (-Inf, 10^0),\n",
    "    ytick = 10.0 .^ -(0:7),\n",
    "    overwrite_figure=false,\n",
    "    show=true)"
   ],
   "metadata": {},
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "source": [
    "We observe second-order algebraic convergence for both x and y tip displacement errors.\n",
    "We can therefore conclude that a large number of elements are likely necessary in order\n",
    "to obtain highly accurate solutions using this package.  For problems where high\n",
    "accuracy solutions are critical, higher order shape functions, such as the Legendre\n",
    "spectral finite elements used by [BeamDyn](https://www.nrel.gov/wind/nwtc/beamdyn.html)\n",
    "are likely more computationally efficient."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Sensitivity Analysis"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Suppose we are interested in the sensitivity of tip x and y-displacement with respect to\n",
    "the nondimensional tip moment $\\lambda$ when $\\lambda=1$.  As described in the\n",
    "`sensitivity analysis documentation`, these sensitivities may be\n",
    "computed using the following code:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "2×1 Matrix{Float64}:\n -12.025539968209037\n  -7.659921841992018"
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "cell_type": "code",
   "source": [
    "using ForwardDiff\n",
    "\n",
    "# construct pfunc to overwrite prescribed conditions\n",
    "pfunc = (p, t) -> begin\n",
    "\n",
    "    # non-dimensional tip moment\n",
    "    λ = p[1]\n",
    "\n",
    "    # dimensionalized tip moment\n",
    "    m = pi*E*Iyy/L\n",
    "    M = λ*m\n",
    "\n",
    "    # create dictionary of prescribed conditions\n",
    "    prescribed_conditions = Dict(\n",
    "        # fixed left side\n",
    "        1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0, theta_z=0),\n",
    "        # moment on right side\n",
    "        nelem+1 => PrescribedConditions(Mz = M)\n",
    "    )\n",
    "\n",
    "    # return named tuple with new arguments\n",
    "    return (; prescribed_conditions=prescribed_conditions)\n",
    "end\n",
    "\n",
    "# construct objective function\n",
    "objfun = (p) -> begin\n",
    "\n",
    "    # perform static analysis\n",
    "    system, state, converged = static_analysis(assembly; pfunc, p)\n",
    "\n",
    "    # return the desired outputs\n",
    "    return [state.points[end].u[1], state.points[end].u[2]]\n",
    "end\n",
    "\n",
    "# compute sensitivities using ForwardDiff with λ = 1.0\n",
    "ForwardDiff.jacobian(objfun, [1.0])"
   ],
   "metadata": {},
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "source": [
    "Note that these sensitivities are the exact sensitivities of the numerical (discretized)\n",
    "solution rather than the exact sensitivities of the analytic (continuous) solution.  The\n",
    "former is more appropriate for gradient-based optimization (which operates on the\n",
    "discretized solution) while the latter better describes the system's actual sensitivities."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "For this problem, continuous sensitivities may be derived from the analytic solution as\n",
    "$\\frac{d y}{d \\lambda} = -L = -12$ and $\\frac{d y}{d \\lambda} = \\frac{-2 L}{\\pi} = \\frac{-24}{\\pi}$\n",
    "To obtain continuous sensitivities using GXBeam, a sufficiently fine grid discretization\n",
    "must be used.  If analytic results are not available, a grid convergence study must be\n",
    "performed in order to find a sufficiently fine grid discretization."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
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