{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Static Analysis of a Joined-Wing\n",
    "\n",
    "In this example we consider the joined-wing model proposed by Blair in \"An Equivalent\n",
    "Beam Formulation for Joined-Wings in a Post-Buckled State\" and optimized by Green\n",
    "et al. in \"Structural Optimization of Joined-Wing Beam Model with Bend-Twist\n",
    "Coupling using Equivalent Static Loads\".\n",
    "\n",
    "![](../assets/static-joined-wing-drawing.png)"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using GXBeam, LinearAlgebra\n",
    "\n",
    "# Set endpoints of each beam\n",
    "p1 = [-7.1726, -12, -3.21539]\n",
    "p2 = [-5.37945, -9, -2.41154]\n",
    "p3 = [-3.5863, -6, -1.6077]\n",
    "p4 = [-1.79315, -3, -0.803848]\n",
    "p5 = [0, 0, 0]\n",
    "p6 = [7.1726, -12, 3.21539]\n",
    "\n",
    "# get transformation matrix for left beams\n",
    "\n",
    "# transformation from intermediate frame to global frame\n",
    "tmp1 = sqrt(p1[1]^2 + p1[2]^2)\n",
    "c1, s1 = -p1[1]/tmp1, -p1[2]/tmp1\n",
    "rot1 = [c1 -s1 0; s1 c1 0; 0 0 1]\n",
    "\n",
    "# transformation from local beam frame to intermediate frame\n",
    "tmp2 = sqrt(p1[1]^2 + p1[2]^2 + p1[3]^2)\n",
    "c2, s2 = tmp1/tmp2, -p1[3]/tmp2\n",
    "rot2 = [c2 0 -s2; 0 1 0; s2 0 c2]\n",
    "\n",
    "Cab_1 = rot1*rot2\n",
    "\n",
    "# get transformation matrix for right beam\n",
    "\n",
    "# transformation from intermediate frame to global frame\n",
    "tmp1 = sqrt(p6[1]^2 + p6[2]^2)\n",
    "c1, s1 = p6[1]/tmp1, p6[2]/tmp1\n",
    "rot1 = [c1 -s1 0; s1 c1 0; 0 0 1]\n",
    "\n",
    "# transformation from local beam frame to intermediate frame\n",
    "tmp2 = sqrt(p6[1]^2 + p6[2]^2 + p6[3]^2)\n",
    "c2, s2 = tmp1/tmp2, p6[3]/tmp2\n",
    "rot2 = [c2 0 -s2; 0 1 0; s2 0 c2]\n",
    "\n",
    "Cab_2 = rot1*rot2\n",
    "\n",
    "# beam 1\n",
    "L_b1 = norm(p2-p1)\n",
    "r_b1 = p1\n",
    "nelem_b1 = 5\n",
    "lengths_b1, xp_b1, xm_b1, Cab_b1 = discretize_beam(L_b1, r_b1, nelem_b1;\n",
    "    frame = Cab_1)\n",
    "compliance_b1 = fill(Diagonal([1.05204e-9, 3.19659e-9, 2.13106e-8, 1.15475e-7,\n",
    "    1.52885e-7, 7.1672e-9]), nelem_b1)\n",
    "\n",
    "# beam 2\n",
    "L_b2 = norm(p3-p2)\n",
    "r_b2 = p2\n",
    "nelem_b2 = 5\n",
    "lengths_b2, xp_b2, xm_b2, Cab_b2 = discretize_beam(L_b2, r_b2, nelem_b2;\n",
    "    frame = Cab_1)\n",
    "compliance_b2 = fill(Diagonal([1.24467e-9, 3.77682e-9, 2.51788e-8, 1.90461e-7,\n",
    "    2.55034e-7, 1.18646e-8]), nelem_b2)\n",
    "\n",
    "# beam 3\n",
    "L_b3 = norm(p4-p3)\n",
    "r_b3 = p3\n",
    "nelem_b3 = 5\n",
    "lengths_b3, xp_b3, xm_b3, Cab_b3 = discretize_beam(L_b3, r_b3, nelem_b3;\n",
    "    frame = Cab_1)\n",
    "compliance_b3 = fill(Diagonal([1.60806e-9, 4.86724e-9, 3.24482e-8, 4.07637e-7,\n",
    "    5.57611e-7, 2.55684e-8]), nelem_b3)\n",
    "\n",
    "# beam 4\n",
    "L_b4 = norm(p5-p4)\n",
    "r_b4 = p4\n",
    "nelem_b4 = 5\n",
    "lengths_b4, xp_b4, xm_b4, Cab_b4 = discretize_beam(L_b4, r_b4, nelem_b4;\n",
    "    frame = Cab_1)\n",
    "compliance_b4 = fill(Diagonal([2.56482e-9, 7.60456e-9, 5.67609e-8, 1.92171e-6,\n",
    "    2.8757e-6, 1.02718e-7]), nelem_b4)\n",
    "\n",
    "# beam 5\n",
    "L_b5 = norm(p6-p5)\n",
    "r_b5 = p5\n",
    "nelem_b5 = 20\n",
    "lengths_b5, xp_b5, xm_b5, Cab_b5 = discretize_beam(L_b5, r_b5, nelem_b5;\n",
    "    frame = Cab_2)\n",
    "compliance_b5 = fill(Diagonal([2.77393e-9, 7.60456e-9, 1.52091e-7, 1.27757e-5,\n",
    "    2.7835e-5, 1.26026e-7]), nelem_b5)\n",
    "\n",
    "# combine elements and points into one array\n",
    "nelem = nelem_b1 + nelem_b2 + nelem_b3 + nelem_b4 + nelem_b5\n",
    "points = vcat(xp_b1, xp_b2[2:end], xp_b3[2:end], xp_b4[2:end], xp_b5[2:end])\n",
    "start = 1:nelem\n",
    "stop = 2:nelem + 1\n",
    "lengths = vcat(lengths_b1, lengths_b2, lengths_b3, lengths_b4, lengths_b5)\n",
    "midpoints = vcat(xm_b1, xm_b2, xm_b3, xm_b4, xm_b5)\n",
    "Cab = vcat(Cab_b1, Cab_b2, Cab_b3, Cab_b4, Cab_b5)\n",
    "compliance = vcat(compliance_b1, compliance_b2, compliance_b3, compliance_b4,\n",
    "    compliance_b5)\n",
    "\n",
    "# create assembly\n",
    "assembly = Assembly(points, start, stop;\n",
    "    compliance = compliance,\n",
    "    frames = Cab,\n",
    "    lengths = lengths,\n",
    "    midpoints = midpoints)\n",
    "\n",
    "Fz = range(0, 70e3, length=141)\n",
    "\n",
    "# pre-allocate memory to reduce run-time\n",
    "ijoint = nelem_b1 + nelem_b2 + nelem_b3 + nelem_b4 + 1\n",
    "prescribed_points = [1, ijoint, nelem+1]\n",
    "static = true\n",
    "system = StaticSystem(assembly)\n",
    "\n",
    "linear_states = Vector{AssemblyState{Float64}}(undef, length(Fz))\n",
    "for i = 1:length(Fz)\n",
    "\n",
    "    # create dictionary of prescribed conditions\n",
    "    prescribed_conditions = Dict(\n",
    "        # fixed endpoint on beam 1\n",
    "        1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0,\n",
    "            theta_z=0),\n",
    "\n",
    "        # force applied on point 4\n",
    "        nelem_b1 + nelem_b2 + nelem_b3 + nelem_b4 + 1 => PrescribedConditions(\n",
    "            Fz = Fz[i]),\n",
    "\n",
    "        # fixed endpoint on last beam\n",
    "        nelem+1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0,\n",
    "            theta_z=0),\n",
    "    )\n",
    "\n",
    "    _, linear_states[i], converged = static_analysis!(system, assembly;\n",
    "        prescribed_conditions = prescribed_conditions,\n",
    "        linear = true)\n",
    "\n",
    "end\n",
    "\n",
    "reset_state!(system)\n",
    "nonlinear_states = Vector{AssemblyState{Float64}}(undef, length(Fz))\n",
    "for i = 1:length(Fz)\n",
    "\n",
    "    # create dictionary of prescribed conditions\n",
    "    prescribed_conditions = Dict(\n",
    "        # fixed endpoint on beam 1\n",
    "        1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0,\n",
    "            theta_z=0),\n",
    "\n",
    "        # force applied on point 4\n",
    "        nelem_b1 + nelem_b2 + nelem_b3 + nelem_b4 + 1 => PrescribedConditions(\n",
    "            Fz = Fz[i]),\n",
    "\n",
    "        # fixed endpoint on last beam\n",
    "        nelem+1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0,\n",
    "            theta_z=0),\n",
    "    )\n",
    "\n",
    "    _, nonlinear_states[i], converged = static_analysis!(system, assembly;\n",
    "        prescribed_conditions=prescribed_conditions, reset_state=false)\n",
    "\n",
    "end\n",
    "\n",
    "reset_state!(system)\n",
    "nonlinear_follower_states = Vector{AssemblyState{Float64}}(undef, length(Fz))\n",
    "for i = 1:length(Fz)\n",
    "    # create dictionary of prescribed conditions\n",
    "    prescribed_conditions = Dict(\n",
    "        # fixed endpoint on beam 1\n",
    "        1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0,\n",
    "            theta_z=0),\n",
    "\n",
    "        # force applied on point 4\n",
    "        nelem_b1 + nelem_b2 + nelem_b3 + nelem_b4 + 1 => PrescribedConditions(\n",
    "            Fz_follower = Fz[i]),\n",
    "\n",
    "        # fixed endpoint on last beam\n",
    "        nelem+1 => PrescribedConditions(ux=0, uy=0, uz=0, theta_x=0, theta_y=0,\n",
    "            theta_z=0),\n",
    "    )\n",
    "\n",
    "    _, nonlinear_follower_states[i], converged = static_analysis!(system, assembly;\n",
    "        prescribed_conditions=prescribed_conditions, reset_state=false)\n",
    "\n",
    "end\n",
    "\n",
    "nothing #hide"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "Note that we incrementally increased the load from 0 to 70 kN in order to ensure that we\n",
    "obtained converged solutions."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "To visualize the differences between the different types of analyses we can plot the\n",
    "load deflection curve."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.PyPlotBackend() n=3}",
      "image/png": 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",
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4P8D2q36Y/3rfS+v9x7+eTsff/wxffv2va16appcgyWEqHOe2aPyyxmN7/sZ6Ohb9w6DBjcvbP1bVPnXjZ4e/LN//vOfLF68mAsXLlQ81r9//4rrrtLT0/nll1+q7ZfryJEj+fjjjyuuySorK+PAgQMAZGdn07hxY3Q6Hdu2basYVbsRnTp14vjx42zYsIEePXrQv39/3nvvPfz9/fHyuvJ9cnV15fLly1XymvLz83n88cfx9vZm0KBBtGrVCkdHR7766quKZU6ePElWVhbZ2dm4urri6elJaWkpCxYsqFimX79+/PjjjxQUFKAoCgsXLrypOlxdXQkLC2PRokUAJCUlsXPnTrp163bV5UeOHMlbb72FqqoAFacIR44cyTvvvFNxvV5hYSHx8fE3VYs51L0jixCiTnvviMK7R1Te76JnZGM5BJqbj48PM2bM4OLFixWPvf/++xw6dIjQ0FD69OnDSy+9VHF6sKpNnDiRCRMm0Lt3b9q1a0dYWBibN28Gyq8peuaZZ+jcuTMLFy6kU6dON7xdo9FI9+7dCQgIwMHBgeDgYMrKyq64/uoP/fr1o6CggHbt2l1xyvRGHD16lLCwMIKDg+nYsSMODg5s3LgRg8GA0Wjk119/5ccffyQ0NJTg4GAefPBBioqKGDJkCM2bN6d169YMGjSIsLCwim0OHz6c4cOH065dO/r27UtoaOhN1/XNN9+wePFi2rVrx5gxY/jf//5Xcf3VX7377rsUFhYSEhJCWFgYL774IlB+6jEsLIxOnToRGhpK586drzoaZ2l02u2OAdaw2NhYIiMjiYmJISIiwtzlCCGsyM+nVcZuUHg6VM9/OtW+XldyfBSiat3OZ0r+fBNC1Am7UlXu26xwd1Mdb3aUQ58QonrJUUYIUeslXtYYuVaho4+Ohb2k15UQovpJwBJC1GppRRpD1pjwcYBfBhiwryO9roQQ5iVtGoQQtVahSWPkOoX8Mth9hxHPOtTrSghhXhKwhBC1kqJq3LtJ4XCWxrbhRgJdJFwJIWqOBCwhRK2jaRozo1V+PaexYqCBSB8JV0KImiXXYAkhap13Dqt8eFTlv90MDAuQw5ylCQwMpHXr1pW6krdv375iTrpb1bt374oJiV955RV++OGH29pedfvkk0949913gfJ5DX/88cdKz+t0OvLz8/92O1u2bMHR0ZGwsLCKr1WrVl13nb9Ohv3000/f4quoOgsXLsTd3b3S67CGflfXIiNYQoha5adTKk/vUXkhTM/UNhKuLFVJSQmff/45Dz/8cLVs/4/pXmqCyWS6oQmY/+rPDUXj4uJYuXLlTc1T+GdBQUHs37//ltY1h2u9Z/37979iwuvb3aa51NjRp6SkhOnTp9OiRQuCg4OZMGFCxXOJiYl07dqVli1b0rFjR44ePVpTZQkhapEdl1QmblG4t5mOOe0lXFmyWbNm8cYbb1RMf/Jnqamp3HnnnbRt25aQkJCKaXOgfPRr1qxZdO3alSZNmlxz8uG/jtDce++9jBgxgqCgIPr27VsxNQ7AvHnz6NixIxEREQwdOpTk5GQANm7cSJcuXQgPDyckJIQvv/yyYp3evXvz0ksv0a9fPwYNGlRp3/n5+Xh6elJWVgZARERExaTNp06dqpio+I+Ro7S0NF555RU2bNhAWFhYpeD10Ucf0alTJ5o0aVJp/zdCURSefvppQkJCCAkJ4fHHH6e0tPSW1rnR11RWVsbzzz9Px44dCQsLY9y4ceTk5ADl35MZM2YwePBg2rVrd8OvIz8/n8mTJ1fUNGvWrIrnrvZ9+Pe//03btm1p164dnTt3rvgZ+/rrr+nUqRMRERH06tWLI0eO3HANt6LGjkDPP/88er2eEydOEB8fz1tvvVXx3MMPP8zUqVM5ceIEzz77bMXM20IIcaMScsrvGOziq+OLXoYrJpgVliUiIoKePXtWnCL7sxkzZtC6dWsOHz7Mpk2beOONN9i7d2/F8zk5OezatYu9e/fy1ltvcf78+b/d3549e1i0aBFHjx7F19e3Ys69b7/9lhMnThAdHU1sbCzjx49n+vTpFTXu2LGDAwcOsG3bNmbNmlVpSp+4uDjWrFnDxo0bK+3L2dmZ4OBgoqOjyczMRFEU9u3bB8D69euvmC7H19eX119/nf79+xMXF1dpMmh7e3v27NnDqlWrmDFjxjUne/5jqpw/vhRF4dNPPyUmJoaYmBji4uJISkrivffeu+77dK11bvQ1vfXWWzg7O7N3717i4uIIDg7m1Vdfrdj+jh07WLJkyTXnEvwjZIaFhVUEpjfeeIPS0lIOHTrEnj17WLZsGT/99NNVvw+LFi1i2bJl7Ny5k4MHD7J69Wrs7OzYuXMn33//Pdu2bSM2NpbZs2dXBMTqUiNjaQUFBXz55ZekpKRUHPT8/PwASEtLIzY2lnXr1gEwZswYpk+fzpkzZwgMDKyJ8oQQVi61sLzXld/vva7sDBKuriezKIvMouwq366XgwdeDp43vPzs2bPp1KnTFXPvbdiwoWJiZV9fX0aPHs3GjRsr5iP84xejj48PTZs25fTp0zRs2PC6+xoyZAienuW1denShcOHDwOwbNky9u/fT2RkJFA+gmMwlE+jlJmZyZQpUzhx4gRGo5GMjAzi4+Mrfn9NnDgRGxubq+6vf//+bNiwgdTUVAYNGsSxY8c4cuQIGzZsuKnTgH+81jZt2mA0Grl06RKNGjW6YrmrnSLcsGEDU6ZMwc7ODoCHHnqITz75hGeeeeaa+7veOjfympYtW0Zubm7Fab7S0tKK0S2Au+++G2dn52vu/2qnCDds2MB7772HXq/HycmJSZMmsWHDBu666y6g8vdh5cqVPPLII7i6ugLg4eEBwPLlyzl48GCl+STT09MpLS3F1tb2mvXcjhoJWElJSXh5eTF79mw2bNiAg4MDr732Gv369SM5OZkGDRpUnDfV6XQEBARw7ty56wasmTNn4u7uzvjx4xk/fnxNvAwhhAUqKNMYvlahWIEtw42420m4+jsrEtey8PD3Vb7dqLbjeCD0xo/HTZs2Zfz48Vc9zffXEcg//9/e3r7i3waD4ZqjOn92rXU0TePll19m8uTJV6wzbdo0RowYwdKlS9HpdERERFBcXFzx/N8FhWeeeYa0tDRGjx5Nw4YNWb9+PVu3bq00QnWrdd8ITdOu+z7e7Do38po0TePjjz+mb9++V93+9d6zW30dN7JNTdOYPHlyjV6bVyMBq6ysjFOnThEUFMSbb77JwYMH6d+/f8W1Vn99425k/un58+fLZKZC1HEmVWPcJoXjl8t7XQU4S7i6ESNbDKJbo45Vvl0vB4+bXuef//wnQUFBlUaC+vfvz6effsqsWbNIT0/nl19+ueULn//OyJEjee+99xg1alTFNUZHjhwhPDyc7OxsGjdujE6nY9u2bRWjajeiU6dOHD9+nLS0NN59910aNmzIsGHD8Pf3x8vL64rlXV1duXz5clW+NAYMGMDChQu566670Ov1fP7551ecnryZdW7kNY0cOZJ33nmHzp074+joSGFhIadPnyY4OPi2Xsdnn31G165dKSwsZPHixbzwwgtXXXbkyJF8/PHHjBo1CldXV3JycnBxcWHEiBFMmjSJhx56CH9/f1RVJTY2lvbt299yXX+nRgJW48aN0ev1FUOd7dq1o0mTJsTHxxMUFERKSkrF1f+appGcnExAQEBNlCaEsFKapvH4LpXVyRq/DTIQ7i3h6kZ5OXje1Km86uTj48OMGTN45ZVXKh57//33mTZtGqGhoaiqyksvvVRxerCqTZw4kczMTHr37o1Op8NkMjFlyhTCw8N58803efTRR3nzzTcJCgqqdHrp7xiNRrp3705+fj4ODg4EBwdTVlZ2zYDTr18/5s2bR7t27ejSpctNjXJdy9SpU0lKSqoYjOjduzczZsy45XVu5DU9//zzzJo1i06dOlUMnjz33HO3FbD++c9/8vjjj9O2bVsA7rrrLsaOHXvVZSdOnMiFCxfo0qULNjY2ODo6smHDBnr27MncuXO54447UBSFsrIyhg0bVq0BS6fdyHBRFRg4cCAzZ85k6NChnD17lvbt23Po0CH8/Pzo3bs3UVFRREVFsWTJEubNm8fu3buvup3Y2FgiIyOJiYmRESwh6rB/xyk8v0/l854GJreSOwZBjo9CVLXb+UzVWMOITz75hMmTJ/Pcc89hMBj49NNPKy4UXLBgAVFRUcydOxdXV1cWLVpUU2UJIazQtydVnt+n8kqEXsKVEMIi1VjAatq06TW79LZq1Yro6OiaKkUIYcW2XlR5YKvC/S10vBYh4UoIYZnk6CSEsBpHszVGrVPo6afj0x7S60oIYbkkYAkhrMLF33td+TvDkv4GbKXXlRDCgknAEkJYvLxSjWFrTCgarBpkxM1WwpUQwrJZzqyIQghxFSZV4+6NCkm5sH2EkUbS60oIYQUkYAkhLJamaTyyQ2HDeY3VQwyEekm4EkJYBwlYQgiLNTdO5X8JGgt7GejfUK5oEEJYDzliCSEs0teJKi/vV3k9Us/9LeVQJYSwLjKCJYSwOBvPq0zeqjCllY6XwyVc3axjx46ZuwQhaoXb+SxJwBJCWJTDWRqj1yv0a6jjv92l19XN8Pb2xtHRkQkTJpi7FCFqDUdHR7y9vW96PQlYQgiLkZKvMXSNiaau8FM/AzZ6CVc3IyAggGPHjpGRkWHuUkQttPXcLhYfWcLcXi/iZeNC5sI5GN29cb/r8Vr9h5C3tzcBAQE3vZ4ELCGERcgt1Ri21oQO+G2QERfpdXVLAgICbumXgRB/Jzg0mM2m3ZxwOMfEC1DfRU/9f8zF6NPA3KVZJAlYQgizK1M1xm5QOJsPO0cYaeAk4UoIS2NntGNk88EsOb6CQfvzqT9okoSr65CrR4UQZqVpGlO3K2y5qPHLAAPBnhKuhLBUo1oMotRUwtYmnrj0HWvuciyaBCwhhFnNilVZeKK811WfBnJIEsKS2e3fSZdMhfX1DKi1+LqrqiBHMyGE2XyZoDIrVmVuBz33NpfDkRCWzJSdRu5vC7nDrwupJTnsuRBr7pIsmhzRhBBmsS5FZep2hYdb63m+nRyKhLBkmqaRs+QjdA5ORA5/gpaezVhxcq25y7JoclQTQtS4uEyNMRsUBjXS8WE3fa2+xVuI2qDowDaK4/fgMfoRDI7OjGg+iD0XYkgrSDd3aRZLApYQokYl52sMW2OilZuO7/sZMEqvKyEsmpKXQ87Sj3AI64FDu+4A9A/sgZ3BlpVJ681cneWSgCWEqDE5JRpD1piw1cPKQQacbSRcCWHpcpZ8COhwH/NYxWOONo4MCOzFqpMbUFTFfMVZMAlYQogaUaqUT4FzoRBWDTZS31HClRCWrjBuG0UHd+A+5lEMLu6VnhvafADpRZnEph42T3EWTgKWEKLaaZrGlG0KO1M1lg8w0MZDwpUQlk7JzyFnyUc4hHbDIbznFc+39mxOgGtD1p3ebIbqLJ8ELCFEtfvnfpXFJzW+6m2gh58cdoSwBjlL/wuqivtd0696I4pOp2NAYG+2J++myFRshgotmxzphBDV6rPjKnPiVP7TUc89zeSQI4Q1KDq4g6IDW38/NehxzeUGNOlFkamYHcm7a7A66yBHOyFEtVmdrPLIDoXHgvQ8HSqHGyGsgVKQS/ZPH2If0gWHiN7XXdbPuR5tfYJYd3przRRnReSIJ4SoFrEZGndtUBgWoOO9LtLrSghrcfnn/6KpJjyucWrwr/o17k7MpYPklebXQHXWQwKWEKLKnckr73UV7KHju74GDNLrSgirUHQkmsKYzbjfOQ2Dm9cNrdPdvzOKphB9fn81V2ddJGAJIapUdonG0DUmHI3w6yADjkYJV0JYAyU/h+wf3sc+uBOO7fvd8Ho+jl4EebVku1yHVYkELCFElSlRNEatU0gtgtWDjfg6SLgSwhpomkb2D++DquBxzxM3fUq/h39n9l6IpdhUUk0VWh8JWEKIKqFqGlFbFfaka6wYaKClu4QrIaxF4d71FB/ehcfdMzC4et70+j38O1OslLDv4oFqqM46ScASQlSJF/ep/JCk8U0fA93qy6FFCGthyrxEzs+f4NhxQMVcgzfL37Uh/i4N2CsBq4IcBYUQt+2/RxX+fVDlnc56xjSRw4oQ1kJTFbK+mYfeyQX30dNua1vt/cLYfzGuagqrBeRIKIS4Lb+eVZm+S+WJED0z2xrMXY4Q4ibkbVpK6el4PO97Br29021tq4NfGBfyL3E+72IVVWfdJGAJIW7ZvnSVcZsURjXW8XYnOZwIYU1KU5LIXf0VLn3vwq5ZyG1vL6xeWww6g4xi/U6OiEKIW3IqV2P4WoV2njoW95FeV0JYE62slKzF/8GmXgCuQyZUyTadbBwJ8m7FvktxVbI9aycBSwhx0zKLNYasMeFqAysGGXCQXldCWJXLvy3ElHEBz4nPojPaVtl2w+uFcDjtGJqmVdk2rZUELCHETSk2adyxTiGrpLzXlbe9hCshrElx4kHyt/yM2/AHsPELrNJtB3u3JqfkMhfyL1Xpdq2RBCwhxA1TNY1JWxRiMzRWDjLQ3E3ClRDWRCnIJXvxW9i1aIdzz1FVvv1g71YAHEk/XuXbtjYSsIQQN+zZPSpLTmt829dAJ185fAhhTTRNI/u7d9HKSvC87xl0+qr/DLvYOdPYtRHxGQlVvm1rI0dIIcQN+eCIwtuHVd7vqmdUoBw6hLA2BTt+pfhINB73PoXB3bva9hPs05r4DBnBkqOkEOJvLTuj8kS0yj/a6pkeLL2uhLA2pRdOkbP8M5x6jMQhpEu17qulZzPOXE7GpJqqdT+WTgKWEOK6dqeqjN+kMLaJjv9IryshrI5aWkzWojex8W2E+8gHq31/Td0aY1JNJOdeqPZ9WbIaO1oGBgbSunVrwsLCCAsL44cffqh4LjExka5du9KyZUs6duzI0aNHa6osIcR1nLysMWKdQntvHV/1NqDXyUXtQliby78sQMlKxXPSC+hsqq4lw7U0cQ8A4HTO2WrflyUz1uTOlixZQkjIld1iH374YaZOnUpUVBRLlixhypQpREdH12RpQoi/SC8q73XlZQfLBxqwl15XQlidwrhtFESvxuOeJ7CpH1Aj+3S1c8HbwZNTOWfpS48a2aclMvt4f1paGrGxsUyYUN5JdsyYMZw+fZozZ86YtzAh6rBCk8bIdQq5ZeW9rjyl15UQVseUeYns79/DIawHjp0H1+i+m7gHcOpy3R7BqtGAdd9999G2bVsefPBB0tPTAUhOTqZBgwYYjeWDaTqdjoCAAM6dO3fdbc2cOZORI0fy3XffVXvdQtQliqoxYbPCoSyN3wYZaOIq4UoIa6OZSslcOAe9kwsedz+BroZP7zdyacCFvNQa3aelqbGAtW3bNg4ePEhsbCxeXl7cf//9Fc/99Rt/Iy3258+fz4oVKxg/fnyV1ypEXaVpGk/tVll+VuOHvgba+5h9kFsIcQtylv+Psgtn8Lr/RfSOzjW+/3pOPqQWpNXpKXNq7BqsgIDyc782NjbMnDmTli1bAuDv709KSgomkwmj0YimaSQnJ1csL4SoOfOPqLwfr/LfbnqGN5ZwJYQ1KozbRsH2FbiPfQzbgJZmqaGeky+FpiLySwtwsav5gGcJauQIWlBQQE5OTsX/v/vuO8LDwwHw9fUlPDycxYsXA7B06VICAwMJDAysidKEEL9bckrlH7tVnm+nZ1qQ9LoSwhqVpZ8n+7v5OIT3wqnbcLPVUc/JB4DUwnSz1WBuNTKClZqaypgxY1AUBU3TaNq0KV999VXF8wsWLCAqKoq5c+fi6urKokWLaqIsIcTvdl5SmbBFYVwzHXM6yMiVENZIKy0h68s5GFw98LhnRo1fd/Vn9f8IWAVpNPdoYrY6zKlGAlbTpk05cODANZ9v1aqVtGUQwkwScsrvGOzsq+PLXtLrSghrlfPLJ5Slp+A7cz56eyez1uJm51ZeU3GuWeswJ/lTVYg6LLWwvNdVfQf4ZYABO4OEKyGsUcH+jeX9rsY8im3DpuYuB6PegKPRgfyyAnOXYjY12mhUCGE5CsrKu7QXmWDzMCMedhKuhLBGpRdOkfPD+zi274djp0HmLqeCi60z+aUSsIQQdYiiaozfpHA0W2PbCCONXSRcCWGN1MJ8Mr94A6NPQ9zvftys1139lYudM3ml+eYuw2zkFKEQdYymacyIVlmVrPFTfwMR3pZzQBZC3DhNVcla/B/Ugjy8Jv8Tva29uUuqxNnGSQKWEKLumHdI5eOjKp90NzDEXw4BQlirvHXfUnxsH54Tn8Po7Wfucq5gYzBSpprMXYbZyNFViDrk+ySVZ/eqvByu58HW8vEXwloVxe8hd81iXAdPwCGog7nLuSodeqjDndzlCCtEHbHtosr9WxQmNtfxeqR89IWwVqb0C2Qtfgv74E64DLDc6eJ0Oh0qErCEELXYsWyNO9YpdK+v4389DRZ1IawQ4sapJcVkfvE6Bmc3PCc8i05vub/GddzY3MK1leV+Z4QQVeLi772uGjnBzwMM2EqvKyGskqZpZH//LqbMS+UXtTuYt5no39GhQ5MRLCFEbZRfpjF8rYkyFVYNNuJmK+FKCGuVt/FHig5sxePep7DxCzR3OX+rVC3FVm9j7jLMRgKWELWUSdW4Z6NC4uXycOXvLOFKCGtVdGQ3ub8txGXgvTiG9TR3OTekoKwIJ1vLHmWrTtJoVIhaSNM0Ht2psC5F47fBBtp5SbgSwlqVXTxD1tf/xr5tF1wHTzB3OTessKwQJxtHc5dhNhKwhKiF/hWn8tlxjS97GRjYSAaqhbBWSkEuGf+bhdGzHp73PWPRF7X/VX5pIY42DuYuw2wkYAlRyyxOVHlpv8prEXqiWlrPwVgIUZmmmMhaOBetuBCvR/+F3s66wkphWSGORuuquSrJ0VeIWmTTeZXJ2xQeaKnjlQj5eAthzS4v+5SSpMN4PfASRq/65i7npuSXFlCslODl4GHuUsxGjsBC1BJHsjRGb1Do46djQQ/pdSWENcuPXk3+9hW4j3kUu+ah5i7npqUWpANQz8nHzJWYjwQsIWqBCwUaQ9eYCHSGn/obsNFLuBLCWhWfiCPnpw9x6j4c527DzF3OLfn/gOVr5krMRwKWEFYur7Q8XGnAb4ONuEqvKyGsVtmlc2R+8QZ2LcNwv/MRc5dzy1IL0zHoDHjau5u7FLORi9yFsGJlqsbYDQqn82DnSCMNnSRcCWGtlLwcMj57BYOHD15RL6IzGMxd0i1LLUjHx9ELg956X8PtkoAlhJXSNI1p2xU2X9RYM9hAiKeEKyGslVZWSubns9BKS/B57N/o7a27QefpnLM0dvM3dxlmJacIhbBSbxxQ+eKExhc9DfRtKB9lIayVpqpkffs2ZedP4f3Qaxg965m7pNuWlH2G5h5NzF2GWclRWQgrtOiEyqsxKrPb65nQQj7GQliz3NVfURS3Dc8Jz2Ab0Mrc5dy2nOLLpBdlSsAydwFCiJuzPkXlwW0KD7XW8WKYfISFsGYFe9aRt/573EZMxqFdd3OXUyVOZp8GoIUELCGEtTiUqTFmg8KARjo+7ia9roSwZsUnDpD9w3s4dRmCc5+x5i6nyiRmn8LeYEcDZ+tqjlrVJGAJYSVS8jWGrjXRwg1+7GfAKL2uhLBapSlJZH7+ezuGsY/Vqj+WDqYdJci7VZ2+gxAkYAlhFS6XagxZY8Kog5WDjDjb1J6DsRB1jSnzEhmfvozRtyFeD7yMzlB7bug3qQqH0uKJqN/W3KWYXe35rgpRS5UqGmPWK6QUlPe68nOUcCWEtVIKcslY8DI6G3u8p75udRM4/53ErCQKygoJrycBSwKWEBZM0zQe2q6w/ZLGuqEGgjwkXAlhrdTSYjI/exW1IA+fme9gcKl9EyHHph7CwWhPa68W5i7F7CRgCWHBXo1R+SpR49s+Bnr5yRl9IayVpihkffUmZRdO4fPYf7DxaWjukqpFzKVDhPoGY9RLvJAjthAW6n/HVd44oPJmBz3jm8tHVQhrpWkaOUs+pPjoXjyjXsK2sfX3urqavJJ84lKP0LlBpLlLsQhy1BbCAq1JVpm2Q+GRNnqebScfUyGsWd7abymIXo3HPTNxCOpo7nKqzY6UPaiaSq+ALuYuxSLIkVsIC3MgQ+OujQpD/XW831Vfq27fFqKuyd+xktw1X+M6dBJOnQaau5xqteXcTtr6tMHLwdPcpVgECVhCWJCzeRpD15ho467ju77S60oIa1YYs5mcpR/h3HMULgPGm7ucapVXms/+SwfpFdDV3KVYDAlYQliI7JLycOVghF8HGnCSXldCWK2i+D1kffMWjh364zZqaq0fid6ZsheTapKA9SfXvMxfVVUOHDjAnj17uHTpEkVFRXh5edGqVSu6d++Oj49PTdYpRK1WomiMXq9wqQh2jTRST3pdCWG1Sk4eInPhHOxDOuNxz0x0+to/lrHy5Doi6oXi4+hl7lIsxhUB6+TJk3z00Ud88803ZGRkoNfrcXd3x97enuzsbIqKitDpdPTo0YOHHnqI8ePHo68DPzxCVBdV05i8VSE6TWPDUAOt3CVcCWGtSs+dIOOz17BrEoTXxOfRGWr/dDFJ2Wc4nH6MWT2eNXcpFqVSMpo6dSohISEcOHCAV199ldjYWEpKSsjIyCAlJYWCggIuXbrE8uXLCQ4O5h//+AdBQUHs2rXLXPULYfVe3q/yXZLG170NdK8vf6wIYa3KLp0jY8HL2NQPwGvKq+hsbM1dUo1YkbgGT3sPujfqZO5SLEqlESxN0zhy5AjNmze/5gq+vr4MHz6c4cOH8/777/PNN99w+vRpunaV865C3KwFxxT+Fafydic9dzWVcCWEtTJlXiLjvy+id/XEe+obtW4KnGspLCti3ektjG09QpqL/kWld+Ozzz67qZUNBgOTJk2q0oKEqCtWnlV5dKfK48F6nmwr4UoIa6VcziTjvy+C0QafaXPQO7mYu6Qas+HMVoqVEoY3r90tKG6FxE0hzGB/uso9mxRGBuh4t7P0uhLCWil52aR/9DyaqRSfx+dhcKs7F3mbVIXvjv5CD//O1HOSG9/+qlLA+vnnn29q5dGjR1dpMULUBadzNYatVQj11PFNXwMG6XUlhFVS8nNI/+h51OICfB5/C6NXfXOXVKM2nNnKhfxLvNHzeXOXYpEqBayxY8f+7Qp//KWt0+kwmUw3vcNZs2bx2muvcfjwYUJCQgBITEzk/vvvJyMjA3d3dxYuXEhQUNBNb1sIS5dVrDFkjQkXG1gx0ICjUcKVENZILcgj4+MXUQty8ZleeydvvhZFVfgmfgldG3aguUcTc5djkSoFrNOnT1934dOnTzNnzhw2btx4S32wYmNj2b17NwEBAZUef/jhh5k6dSpRUVEsWbKEKVOmEB0dfdPbF8KSFZs07linkFlS3uvKx0HClRDWSC3MJ/2TF1EuZ+Iz/d/Y1PM3d0k1buu5XZzLPc+LXWaauxSLVenK2saNG1/1S9M0Zs+ezaBBg4iPj+ftt9/+2zD2VyUlJTz22GN8/PHHla43SUtLIzY2lgkTJgAwZswYTp8+zZkzZ27/1QlhIVRN4/6tCvszNFYMNNDCTcKVENZILS4gY8HLKJmX8H70X9j4BZq7pBqnqApfHfmJDn5htPFuae5yLNZ1b106deoUU6ZMoVWrVqxatYr//Oc/nDp1iieffBIHh5u7BfWVV15hwoQJNGlSeSgxOTmZBg0aYDSWD6bpdDoCAgI4d+7cdbc3c+ZMRo4cyXfffXdTdQhhDs/tVfnplMa3fQx0qSd3DAphjdSSIjIW/JOytBS8H5mLbcOm5i7JLFad2sjpy2eZEnqfuUuxaFe9izApKYk5c+awePFi6tWrx7x585g6dSp2dna3tJPo6Gj27dvHm2++edXn/3oHlaZpf7vN+fPnExERcUv1CFGTPoxXmHdI5b0ueu5sIuFKCGuklhST8ekrlF04g8+j/8LWv4W5SzKLgrJCPj+4mAGBvWX06m9UOtqfPHmSqKgo2rRpw4YNG5g/fz5JSUk8/vjjtxyuALZu3crx48dp0qQJgYGBpKSkMGjQIFavXo2/vz8pKSkVF8xrmkZycvIV12kJYY2Wn1F5IlrlqbZ6ZoTU/ikzhKiN1OJCMj79J2UpJ/GeNhvbxq3MXZLZLD7yE4VlRUwNn2juUixepRGsNm3aoKoqffv2ZcqUKdja2rJy5cprrnyjbRqef/55nn/+/2/jDAwMZOXKlRV3EYaHh7N48WKioqJYunQpgYGBBAYG3sLLEcJy7ElTGb9JYXSgjrc6yciVENao/Jqrf1J28Qze0+Zg16Tu3uF+Ie8SPx1fwX3BY/F19DZ3ORavUsBSFAWAjRs3snHjxuuuqNPpKpa/XQsWLCAqKoq5c+fi6urKokWLqmS7QphLUq7GiLUKEd46vu5tQC+NRIWwOuV3C76EKf08Po/8q06PXAF8FPsFbnaujAu609ylWIWbatNQVf56h2CrVq2kLYOoNTKKNYasNuFhB8sHGrCXXldCWB21II/0/76AkpVap6+5+sOWczvZkbKHV7s/g4PR3tzlWIVKAatx48YV/9Y07brTd1y+fLn6qhLCShWZNEauVcgphd13GPGyl3AlhLVR8nPI+Li8z5X39H9j26Bu3i34h8sluczft4Ae/p3pE9DN3OVYjWteGDJ58uRrrpSZmUnfvn2rpSAhrJWiakzYrBCXqbFykIGmrhKuhLA2Sl426R8+h5KXjY+EKwA+2P85JlXhyQ4Py7ypN+GaAWvVqlXMmDHjisfT0tLo3bs3JSUl1VqYENbm6T0qy85qfN/PQEdfuahdCGujXM4k/YNnUYvyy6e/qYNNRP8q+vx+1p/ZwvTIKXg5eJq7HKty1T5YAGvXrqVv3764uroye/ZsAC5cuECfPn1wdHRk/fr1NVakEJZu/mGF+UdUPuqmZ2RjCVdCWBtTVioZH7+AZirDd/pbGH0amLsks7tcksvbez6mo18Eg5r0MXc5VueaASssLIzffvuNgQMH4uzszPjx4+nbty/e3t6sXbsWd3f3GixTCMu19LTKU7tVng3V82iQ9LoSwtqUpSaT8d8XwGCDz+NvYfSqb+6SzE7TNP4V/T4lSinPdH5MTg3eguv+qd2lSxeWLVvG66+/TmRkJA0bNmTjxo0SroT43a5UlQmbFe5ppuNfHWXkSghrU5qcSPr7T6NzcMZ3xjwJV7/76fgKos/v48WuM6Xn1S2qNIL1888/X3WhcePG8euvv/LQQw+xbt26isdvtNGoELXRiZzyOwY7+uhY2Et6XQlhbUpOHiLjs9ewqR+A99Q30Du5mLski3As4wQL4r5iXJtRdGnY3tzlWK1KAWvs2LHXXfj++++v+HdVNhoVwtqkFWkMWWPCxwF+GWDAziDhSghrUhS/h8yFc7BrEozXlFfQ2zmYuySLkFeaz2s73qKlR1MebDfB3OVYNbM0GhXCmhWayru0F5hg4zAjntLrSgirUrh/E1nfzsMhpAuek55DZ7Q1d0kWQdVU3ox+n/yyAub3n42NwcbcJVm1azYaFUJcSVE17t2kEJ+tsXW4kUAXCVdCWJP8Hb+Ss/RjHDv0x+OemegMcmPKHz4/+A07U/Yyt9dL+DnXM3c5Vq/SVbnp6em3tJGMjIwqKUYIS6ZpGk9Eq/x6TuPHfgYifSRcCWEtNE0jd9135Cz5COeeo/AY96SEqz9Zd3oLi+OXMC38fro26mDucmqFSgGrSZMmPPHEExw+fPhvVywoKGDx4sVERESwYMGCaitQCEvx9mGVj46q/LebgaEBcsegENZCUxVyln5E7qpFuA6ZiNuoqej08hn+w5H04/xn9wcMadqPe9qMMnc5tUalU4TR0dG8/PLLhIWF0axZM7p160bbtm3x8fHBzs6OnJwcTp8+TUxMDDt37sTd3Z3nnnuOadOmmat+IWrEj0kqz+xReTFMz9Q2cmAWwlpopSVkfv1viuN343HPEzh1GWLukizKpfw0Xt42l9ZeLXmq4yPS76oKVQpYbdu2Zfny5SQlJfHVV1+xceNGvv/++0rT4gQEBNCtWzcWL17MiBEjMBqv2atUiFph+0WViVsUJjTXMbu9hCshrIVSkEvmZ69SduEUXlNexSG4k7lLsih5Jfm8sHU2dgY7Zvd8Hlu5qL1K6TRN0/5uoezsbIqLi/Hy8sLW1rx3W8TGxhIZGUlMTAwRERFmrUXUfsdzNLquMBHmqWPNEAO20o5BCKtgyrxExoKXUQvz8H7odWwbtzJ3SRalyFTM0xtf5VzueT4YOJdAtwBzl1Tr3NDwk4eHR3XXIYTFuVSoMWS1iQaO8PMACVdCWIvS5EQyPn0FnZ09vk+8K/MK/kWZUsYr294kKecM7/Z7Q8JVNZHze0JcRUGZxvC1CqUqbB1sxN1OwpUQ1qD42H4yF87BWM8f74dex+Dibu6SLIqiKszZ9S4HUg/z7z6v0Ma7pblLqrUkYAnxFyZV456NCgmXNbaPMBLgLOFKCGtQsGcd2T+8h33rSDzvfxG9nb25S7Iomqbx7r4FbE2OZlaPZ4ms387cJdVqErCE+BNN03h8l8qaFI3fBhkI85JwJYSl0zSNvLXfkLtmMU5dhuA+drr0uPoLTdP4OPZLfj25luc6P05P/y7mLqnWk4AlxJ/8+6DKJ8dUPu9pYJC/3DEohKXTykrJ+u4dimK34Dp0Ei4Dxkurgb/QNI33Yz7j54TfeKL9VIY262/ukuoECVhC/O7bkyov7FN5JULP5FYSroSwdEpeNpmfv07p+SQ8o17EMaynuUuyOKqm8s7eT1h5ch3/6PgoI1sMMndJdUalgPXVV1/d1MqTJk2q0mKEMJctF1Sitirc30LHaxESroSwdGUXz5Dx6StopjJ8p78lbRiuQlEV/rPnQ9ae2sxznR9nSLN+5i6pTqkUsKKioio9+ccw659bZf156FUClqgN4rM0Rq1X6OWn49MeBjm9IISFKzq6j6xF/8LoVQ+vh2Zh9PA1d0kWx6Qq/Ct6PpvO7uClrjMZ0KS3uUuqcyoFrD9P9nzy5EnGjRvHvffey9ixY6lXrx6pqan89NNPfPfdd3z//fc1XqwQVe1CgcbQtSYaO8PS/tLrSghLl79tOTm/LMA+qAOeE59Db+9o7pIsTomphDd2vcOulH280u1p+jTuZu6S6qRKAcvLy6vi3+PGjWPq1Km88MILFY81aNCA8PBwnJ2defHFF9m4cWPNVSpEFcsr1Ri21oSiwW+DjLjaSrgSwlJpikLOL59QsONXnPuMwW3EZHR6uVPwry6X5PLS1rmcyErijZ7P061RR3OXVGdd82KTXbt20b59+6s+1759e3bv3l1tRQlR3cpUjbs2KpzKhdWDjTSSXldCWCy1MJ+MT/9Jwa5VuN/zBO53PCTh6iou5qcyfd3znMs9z7v9Z0u4MrNrBixfX19++OGHqz73/fff4+PjU21FCVGdNE3jkR0KG89r/DzAQFtPCVdCWKqyS2dJe/cJSs+dwHvabJy7DDF3SRbpRNYpHl37HCZV4eOB/ybYWy76N7drtml48cUXefjhh0lKSmLUqFH4+vqSlpbGL7/8wrZt21iwYEFN1ilElZlzQOXzBI1FvQz0ayh3DAphqYoO7SLrm7cwePhS76n3ZU7Ba9h3MY5/bvsXAa6NeLP3P/F0cDd3SYLrBKyHHnoIPz8/5syZwzPPPIPJZMJoNBIREcHy5csZMWJETdYpRJX46oTKP2NUXo/UM6mlhCshLJGmquSu/Ya8td/g0K47Hvf+A72dg7nLski/nlzHu3s/oYNfGK92fwZHG3mfLMV1G40OHz6c4cOHo6oq6enp+Pj4oNfLLyVhnTaeV5myTeHBVjpeDpefYyEskVpUQNbi/1B8dC+uw6Jw6X+PtE65CpNq4oP9/2NZ4mruaDGEGe0fwijXpVmUG+rkrtfrqVevXnXXIkS1OZylMXq9Qv+GOj7uLr2uhLBEZanJZH4+CyU3G6+HZuEQJBdpX01O8WVe2f5v4jMSpDu7BbtuwMrJyWHJkiWcOHGC4uLiSs/pdDree++9ai1OiKqQkq8xZI2JZq7wYz8DNnoJV0JYmqIj0WR9/RYGd298//E+Nj4NzV2SRUrMOsVLW+dSqpbybr83CPUNMndJ4hquGbASExPp2rUrJSUlFBQU4OPjQ1ZWFiaTCQ8PD9zc3CRgCYuX+3uvK4MOVg4y4iK9roSwKJqqkrfuW3LXLMa+bVc873tamodew6azO3gz+j0au/kzu+cL1HOSu/kt2TUvRHnqqafo1KkTqampaJrGqlWrKCoqYvHixbi4uPDTTz/VZJ1C3LQyVWPMBoWz+bBqkJEGThKuhLAkamEemV+8Tu6axbgOmYjXAy9LuLoKk2riv7ELmbXjLbo36swHA/4l4coKXHMEa+/evXz++efY2dkBUFpaisFg4N577yUzM5MZM2awc+fOGitUiJuhaRoPbVPYelFj3RADwdLrSgiLUpqcSOaXs1GLCsqvtwruZO6SLFJqQTqzdrzF8cyTPBrxAHe3vkOuIbUS1wxYJSUluLq6otfr8fT05MKFCxXPBQcHExcXVxP1CXFLZsWqLErU+KaPgd4N5I5BISyFpmkU7FxJzi+fYtMgEJ/H/o3Rq765y7JIu1L28a/o97A32vH+gLmE+LQ2d0niJlwzYLVs2ZKzZ88CEB4ezscff8yAAQMwGo0sWLCABg2k4ZuwTF8kqMyKVflXBz33NpdwJYSlUIsLyf7hPYoObMWp+wjcRz2Ezmhr7rIsjkk18Vnc13x/bBldG3bghS5P4GrnYu6yxE26ZsAaN24ccXFxTJw4kTfeeINBgwbh4eGBTqdD0zQWLlxYg2UKcWPWJqtM3a7wcGs9z7WTcCWEpSi7eIbML2ejXM7Ec9ILOEb0MndJFim1IJ3XdrxFQuZJHo2YzN2tR8opQSt1zYD11FNPVfy7c+fOHDlyhNWrV1NcXEzfvn0JCQmpkQKFuFFxmRpjNyoMbqTjw256OSgJYSEK9m4g56cPMHj74fvU+9jU8zd3SRZp89mdvL33YxyNDnww8F8yn6CVu6FGowD+/v5MnTq1OmsR4pady9cYusZEKzcd3/czYJReV0KYnVZaQs7P/6Vg9xocOw7Afexj6G3tzV2Wxckrzee9fZ+y/sxWevl34elOj8kpwVrgugErMzOTjz76iO3bt5OVlYWnpyc9e/bk0UcfxcvLq6ZqFOK6ckrKw5WdHlYOMuBsI+FKCHMrSz9P1sK5lKUl4zHuSZw6S7fxq4m9dIi50fMpLCvixS4zGdikt4y+1xLXvEglKSmJ0NBQ5syZg8lkomXLlphMJmbPnk1oaChJSUk3taOBAwcSGhpKWFgYPXr0qHQX4h9NTVu2bEnHjh05evToLb8gUbeUKOVT4FwohNVDjNR3lAOTEOakaRoFe9eT9tZjaKXF+M6cL+HqKkpMJXwY8z+e3PhPGrk04Mth7zOoaR8JV7XINUew/vGPf+Dm5kZ0dDQBAQEVjycnJzN48GCefvppfvnllxve0Y8//oi7uzsAy5YtY/LkycTGxgLw8MMPM3XqVKKioliyZAlTpkwhOjr6Fl+SqCs0TWPKNoWdqRobhhpo7S4HJiHMSS0qIPvH9yk6sLX8lODoR6Rx6FWcyDrFnF3vcCHvEo9FTGZs6xHodXJTTm1zzYC1efNmPv/880rhCsqvxXrttdd48MEHb2pHf4QrgMuXL6PXl/8wpaWlERsby7p16wAYM2YM06dP58yZMwQGBt7UPkTd8vJ+lW9Oanzf10APPzk4CWFOJaePkvX1v1EL8/Cc9DyOEb3NXZLFKVXK+CZ+CV8f+Ymm7o35dMg7NHEP+PsVhVW6ZsBSVRWj8epPG41GVFW96Z1NmjSJzZs3A7BmzRqgfESsQYMGFfvS6XQEBARw7ty56wasmTNn4u7uzvjx4xk/fvxN1yKs26fHVObGqbzVSc89zSRcCWEumqqQt/57ctd+g21AK2kceg1H0o/z1p4PSc69wH3BY5gUcjc2BhtzlyWq0TUDVrdu3XjjjTfo2bMnnp6eFY9nZ2czZ84cunfvftM7++qrrwBYtGgRzzzzDKtWrQK44pyzpml/u6358+cTERFx0zUI67fqnMqjOxUeC9Lzj7YSroQwF1N2Gllf/4fS00dxGTAO10H3oTMYzF2WRSksK+Szg4v5JWEVrb2a89mQd2jmEWjuskQN0GnXSDPx8fH06NGDsrIy+vbtS/369UlNTWXjxo3Y2tqybds2goODb3nHDg4OpKSkoCgKLVq0IDMzE6PRiKZp+Pn5sXv37quOYMXGxhIZGUlMTIwErDooJl2j10oT/RvqWNrfgEHaMQhhFoVx28n+4T30dg54TnwWu2ZtzV2Sxdl9PoZ39v6XyyW5TGl3H2NaDceglwBaV1zzz//g4GAOHTrEQw89xMWLF9m0aRMXL15k6tSpHDx48KbCVW5ubqW5DH/55Re8vLzw9PTE19eX8PBwFi9eDMDSpUsJDAyU66/EFc7kaQxbayLYQ8e3fSVcCWEOakkx2d/PJ2vhHOxbhlHv2Y8lXP1FTnEus3e+w3NbXsfftSELh3/A3W3ukHBVx1xzBOt6zp07x5YtW5g0adINLZ+cnMyYMWMoKipCr9fj4+PDvHnzCAsLAyAhIYGoqCgyMzNxdXVl0aJF1wxwMoJVN2WXaHRdYaJUgeg7jPg6SLgSoqaVnksga/FbKDnpuN85DcfOg6WtwJ+omsqaU5v45MAiVE1leuQUBjWR1gt11S0FrKVLl3L33XejKEp11HRdErDqnhJFY+AqhfhsjV0jjbSUdgxC1ChNMZG77jvy1n+HTcNmeE54Vqa7+YsTWaeYv+8T4jMS6B/Yk8cipuDp4G7usoQZ3fBUOUKYg6ppRG1V2JuusXGYQcKVEDWs7NJZsha/RdmFU7gOvBeXAePQGeRXxx/ySvP5/OA3LE9cQ2PXRrzXfw5h9WSuXiEBS1i4F/aq/JCk8VN/A13ryR2DQtQUTVXJ37aMyyu/xOhZH9+Z87ENaGnusiyGqqmsPbWZTw4sokQp4ZHwKEa3GoZRL79WRTn5SRAW6+OjCv85pPJuZz1jmki4EqKmmLJSyf72bUpOHsK51524DYtCZ2tn7rIsRmLWKebvW8CRjOP0D+zJI+FReDvK/LyiMglYwiKtOKvy+C6VmSF6ZraVO2+EqAmaplG4ew05yz5D7+CE96NvYt8yzNxlWYzs4hy+PPQ9v55cS4BrQ+b3n014PbmDUlxdpYDl4uJyQ3c7mEymaitIiH3pKuM2KoxqrGNeJxm5EqImmLJSyf7hPUoSYnHsOBD3Ox9G7+Bk7rIsQolSytLjK1kc/xM6dEwLj2KMnA4Uf6PST8c//vEPuZ1UmNWpXI3haxXCvHQs7iO9roSobpqmUbBrFZdX/K981Orh2di3aW/usiyCpmlsPreTBQcWkV6YwR0th3B/yDjc7V3NXZqwApUC1muvvWamMoSAzGKNIWtMuNnAikEGHIwSroSoTqbMS2R/P5+SxDicugzBbeSDMmr1u6MZCXwY8znxGQl0bdiB//R5lcZujcxdlrAiMr4pLEKRSeOOdQrZJeWNRL3tJVwJUV00VaVg50ou//oFeidXvB+Zi30r6SsIcCk/jU/jvmbj2W0092jCO/1eJ7J+O3OXJayQBCxhdqqmMWmLQmyGxubhBpq5SrgSorqUpSaT/eP7lCYdxqnrMNxGTkFv72jusszuckku38Yv5eeE33C2debZzo8zuEkfmd5G3DIJWMLsntmjsvS0xi8DDHTylYvahagOmqmMvE1LyF33LQZ3b7lD8HeFZUX8dHwFPxxbhqqp3Bs8hnvajMLRxsHcpQkrJwFLmNX7RxTeOazyQVc9dwRKuBKiOpScOU72D/MxpZ7Dpc9YXAfdV+f7WpUqZaxIXMPi+J/ILy1gVMshTAi+C3d7N3OXJmoJCVjCbH45rTIzWuXpUD3Tg2UYXoiqphYXkvvbQvJ3/IpNo+b4PvUBto2ambsss1JUhfVntvLloe9IK8xgcNO+RLUdRz0nH3OXJmoZCVjCLKJTVe7drHBXUx3/7igjV0JUtaL4PeT89CFqYS5udzyEc4870Bnq7h8ymqaxPWU3nx/8hjOXk+nl34V/93mFQDeZtFpUDwlYosYlXtYYsVahg4+ORb0M6KX3mhBVRsnJIGfZAoritmPXOhKPux7H6FXf3GWZjaZp7L4Qw8LD33M8M5HI+u14vssTtPFqYe7SRC0nAUvUqPSi8l5X3vawbIABe+l1JUSV0BSF/O3LyV39NTobOzwnPItDZJ862zxa0zSiz+9n4eHvScg6SVufIN7t9wYR9UPNXZqoIyRgiRpTaNIYsU4hvwyiRxrxlF5XQlSJktNHyfnpQ8ounsap2zDchkahd3Q2d1lmoWkau87vY9Hh70nISiL092AVXq9tnQ2bwjwkYIkaoaga921SOJylsXW4gSbS60qI26YW5HF55RcURK/Gxr8Fvk/OxzaglbnLMovyYLWXhYd/4ERWEu18gyVYCbOSgCWqnaZpPLlbZcU5jeUDDLT3kYvahbgdmqZRuHc9l1d8jqaYcB/zKE7dhqGrg00xNU1jZ8peFh7+nsTsU4T5hjC//2zC67U1d2mijpOAJardu4dVPohX+aS7nuGNJVwJcTtKU5LI+fljSk/F4xjZB7c7HsLg6mnusmqcSVXYem4n3x79mZPZpwmrJ8FKWBYJWKJa/XRK5R97VJ5vp+fhNnXvr2shqopSkEvub4soiF6NsV6jOtuJvUQpZU3SRr4/towL+Zfo6BfOe/3nEFYvxNylCVGJBCxRbXZcUpm4ReHeZjrmdJCRKyFuhaYqFOxaxeVVi0DVcBs1Fefuw9EZ6tbhO7+0gBWJa/jp+Aqyiy/TO6Ars3o8S0vPut04VViuuvUJFTUmIUfjjnUKXXx1fCG9roS4JSVJR8hZ+jFlF0/j2GkgbsMewODibu6yalRmUTZLj//KssTVlCqlDGral/Ft7qSRawNzlybEdUnAElUutbC811V9B/h5gAE7g4QrIW6GkpNBzor/URS7BZuAVnXy7sALeZf4/tgyVidtwKA3cEeLIdzVegTejl7mLk2IGyIBS1SpgjKN4WsVikyweZgRDzsJV0LcKLW0mPwtP5O34Ud0tvZ4jH8Kxw790enrzin2oxkJ/HhsOVuTo3GxdWZS27sZ1WIoLnZ1s6+XsF4SsESVMaka4zYpHMvR2D7CSGMXCVdC3AhNVSmK3cLllV+g5OXg3GMkroPuQ+/gZO7SaoSiKuxI2cOPx5ZzJOM4DV38mBH5IEOa9cfeaGfu8oS4JRKwRJXQNI0Zu1RWJ2usHGQg3FvClRA3ouRUPDnLPqXsXAIOod1wGzkFo3fduL6ooKyQVUkbWJqwkov5qbTzDWZOzxfp0rA9hjrY00vULhKwRJV465DKf4+pfNbDwGD/unM6Q4hbZcq8xOVfP6cobjs2/i3wefwt7JrVjR5OqQXpLE1YycqT6yg2ldC3cXdmdX+WVl7NzV2aEFVGApa4bd+dVHlur8rL4XoebC3hSojrUYsKyF3/Pflbl6F3dsXj3qdxbN+3TlxndSzjBD8eX87Wc7twsHHgjhaDubPVMHwdvc1dmhBVTgKWuC1bL6pEbVWY1ELH65G1/xeEELdKM5VRsGsVueu+RSstxnXAPTj3GYvezt7cpVWrMqWMLed28cuJ34jPSKChix+PRz7IoKZ9cbRxMHd5QlQbCVjilh3N1hi1TqFHfR2f9TDIhKpCXIWmqhTFbefyqoUomak4duiP29BJGNxr96hNemEmKxLXsPLkOrKKc4isHyrXV4k6RQKWuCUXCzWGrjHh7wxLBxiwlV5XQlyh+EQcl3/9nLLkROyDO+E95VVs/ALNXVa10TSNg2nx/HziN3Yk78bWYMvgpv0Y1XIIgW7+5i5PiBolAUvctPwyjeFrTZg0WDXIiJuthCsh/qz0/Cku//o5JcdjsG3cutZfwF5YVsSGM1v5OWEVpy+fJcC1EY9HPsjApn1wsnE0d3lCmIUELHFTTKrG3RsVEi/DjhFGGjlLuBLiD6asVHJXLaIwZjNG7wZ4PvAyDqHdau3p85TcCyxLXMXqpE0Umoro2rADj7efQkS90Fr7moW4URKwxA3TNI1HdyqsT9FYNdhAqJccQIUAUPKyyVv/Pfk7V6F3dMZ97HScOg+qlRMym1QTO1P2siJxLfsvxeFm58IdLQYzssVg6jv7mrs8ISxG7fv0i2rzrziVz45rfNnLwIBGcsegEGpBHnmbfiJ/+3LQG3EdNB7nXneit6t9d8ddyLvEypPrWH1qI1nFOQR7t+KFLk/Qp3F37Ay25i5PCIsjAUvckMWJKi/tV5kVqSeqpYQrUbepxQXkb1lG3paloKo497oTlz5j0Du6mLu0KvXHaNWvJ9ey72IczjZODGjSmxHNB9LMI9Dc5Qlh0SRgib+16bzK5G0Kk1vq+Ge4hCtRd6mlxRTs+JW8jT+hlhTh3G04Lv3vweDibu7SqtTF/FR+PbmO1UkbKkarnu88gz6Nu8vcgELcIAlY4rqOZGncuV6hj5+OT6TXlaijNFMpBdFryF3/HWp+Lk6dB+EycDxGdx9zl1ZlTKqJXSn7WHFyDfsvHsTRxoGBTXozovkgGa0S4hZIwBLXdL5AY8gaE01c4Kf+Bmz0Eq5E3aKZSinYs568DT+g5GTg2L4vroPuw+jtZ+7SqsyZy8msTtrIutNbyCrOJsi7Fc92nk6fxt1xMNbuLvNCVCcJWOKqcks1hq0xoQNWDTbiKr2uRB2imUop2L2WvA0/olzOwCGsJ66D7sOmfoC5S6sSBWWFbDq7g9VJG4jPSMDV1oX+TXoyrNkAmns0MXd5QtQKErDEFcpUjbEbFM7kl/e6auAk4UrUDVpZKQW715QHq9wsHCJ64TpgfK0IVqqmcjAtnlVJG9h6bhdlqokOfuG81v1ZujXqiK3BxtwlClGr1EjAKi4uZty4cRw9ehRHR0fq16/PJ598QmBgIACJiYncf//9ZGRk4O7uzsKFCwkKCqqJ0sRfaJrGw9sVtlzUWDPYQIinhCtR+2llpRREryZ344+oudk4RvbGZcB4bOpZ//QuqQXprDm1idWnNnIxP5WGLn5MCrmHQU374OPoZe7yhKi1amwEa+rUqQwZMgSdTseHH37I1KlTWbduHQAPP/wwU6dOJSoqiiVLljBlyhSio6NrqjTxJ6/Hqnx5QuPr3gb6NpQ7BkXtppWWkB+9mryNP6Lm5eDYvi8uA8Zh49vI3KXdlhKllB3Ju1mVtJGYSwexN9rRO6AbL3R5glCfILlZRYgaoNM0Tavpne7fv59x48Zx8uRJ0tLSaNmyJRkZGRiNRjRNw8/Pj927d1eMcP1ZbGwskZGRxMTEEBERUdOl12oLT6g8sFVhTns9L4bLbPei9lKLCyjYuYq8LT+jFlzGMbIvLgPHY+PT0Nyl3TJVUzmcfox1p7ew5dxO8ksLaOsTxNBm/egd0A1Hm9rX/FQIS2aWa7Def/99RowYAUBycjINGjTAaCwvRafTERAQwLlz564asP4wc+ZM3N3dGT9+POPHj6+Jsmu1dSkqD21TeKi1jhfCZORK1E5Kfg75W5eRv2MlWmkxTh3649Lvbow+Dcxd2i1Lzj3PutNbWHd6C5cK0qjn6MOoFkMY3LQv/q7WGxiFsHY1HrDmzp1LYmIin3zyScVjfx2uvpFBtfnz58sIVhU5mFl+UfvARjo+7ia9rkTtY8pOJ3/zEgqi14AOnLoMxbnPaKvtY5VTnMums9tZd3ozxzITcbZxoldAVwY16UNb3zbodfJHkhDmVqMBa968efz8889s2LABR0dHAPz9/UlJScFkMlWcIkxOTiYgwPrv2rEGyfkaQ9eYaOEGP/QzYJReV6IWKUtNJm/jTxTu34jO3gHnvmNx7nkHBidXc5d200qUUnal7GPd6c3suRALQKcGEbzW/Vm6Nuog8wEKYWFqLGC98847fPfdd2zYsAF3d/eKx319fQkPD2fx4sVERUWxdOlSAgMDr3t6UFSNy6Xl4cpGD78NMuJsI+FK1A6lyYnkbfiBokM70bt44DZiMk5dhqC3dzR3aTdF1VQOpx1j7enNbD23i/yyAtp4tWB65BT6Nu6Ou72buUsUQlxDjVzknpKSgr+/P02bNsXFpXwyVDs7O/bs2QNAQkICUVFRZGZm4urqyqJFiwgODr7qtuQi96pRqmgMXaMQk6Gxa6SRNh4SroR10zSNkuMx5G35mZKEWAzefrj0vQunjv3RGa1ndEfTNBKzT7Pp7HY2ndlOamE69Z18GdikNwOa9CLA1brvcBSirqiREaxGjRpd97qqVq1aSVuGGqRpGg9uU9h+SWP9UIOEK2HVNFMZhbFbyN+8lLKLZ7Bp1BzPic/hENYTncF67oY9l5vCpjM72Hh2G+dyz+Nm50KvgG70D+xJWx+5rkoIayOd3OugV2JUvj6p8V1fAz395KAtrJNamE/+rlXkb1+OejkT+6COuI1+BLvmoVZzo0ZqQTqbzm5n45ntJGafwtHoQA//zjwWMYX2fu0w6uUQLYS1kk9vHfO/4yqzD6j8u6Oecc0kXAnrY8pKJX/rMgp2r0EzmXDs0BeX3qOxqd/Y3KXdkKyiHLae28nGs9s5nH4MW4MtXRq2Z2LIXXRuEImd0c7cJQohqoAErDpkdbLKtB0KjwbpeSZUwpWwLqXJieRtWkLRwe3o7B1x7nkHzj1GYnD1NHdpfyuvNJ/tybvZeGY7samH0KGjg18YL3aZSXf/TjjZWNfF90KIvycBq46IzdC4a4PCUH8d73XRW80pFFG3aYpC8ZFo8rYtpzTpMAYvP9zvnIZjx4Ho7ezNXd515ZXmszNlL1vO7WL/xQOYVIV29YJ5ssPD9PTviru99bWKEELcOAlYdcDZPI1ha0wEeej4rq/0uhKWTy3Mo2D3GvK3/4qSnYZt02A8o17CIbQrOr3lXrieV5LPjpQ9bDm3k/2XDmJSTYR4t+bh8PvpHdBNJlcWog6RgFXLZZdoDFljwsEIvw404CS9roQFK7t0lvxtyyncvxFNUXGM6IVzzzuw9W9h7tKu6XJJLjtS9rLl7E5iLh1E1VRCfNrwSHgUvQK6SqgSoo6SgFWLlSgad65XSC2CXSON1HOUcCUsj6aqFB/bR/7WZZScOIDe1QOXfnfj1HUoBhcPc5d3VTnFuexI2c2WczuJvXQYVVMJ9Q1ieuQUevp3xltClRB1ngSsWkrVNB7YqrA7TWPjUAOt3CVcCcuiFhdQsGc9+duXo2RcxCagVXn/qnbd0RltzF3eFXKKL7MtuTxUxaUeRgNCfYN4vP2D9PTvgpeDZYZBIYR5SMCqpV7ap/J9ksaP/Qx0qy93DArLUXbxDPk7V1K4byNaWSkOYT1wnvAsdoFtzF3aFVIL0tmevJvtKbs5lHYUgDDfEJ5oP5Ue/l3wdHA3b4FCCIslAasW+uSowpsHVd7upGdsUwlXwvw0UylFB3eSv/M3Sk8dQe/qgXOvO3HuOhSDu7e5y6ugaRpnLiezPXk3O1J2k5CVhFFvJKJeKE92mEYP/0542Lubu0whhBWQgFXLrDyr8tgulRnBep5sK+FKmJcpK5WCXaso2L0WNT8Huxbt8Ix6EYe2XdEZLOPwo2oqxzITy0eqkneTkncBB6M9nRpEcnebUXRuEImzrZO5yxRCWBnLOMKJKrEvXeWeTQp3NNbxTmfpdSXMQ1MVio/HULDzN4qP7kVn54hTx/44dR2GTf0Ac5cHgEk1cSD1CNuTd7MzZQ8ZRVm42bnSvVFHpkdOIaJ+KHYG65kgWghheSRg1RKnczWGr1UI9dTxTR8DBul1JWqYkp9Dwe51FESvQsm8hE2jZnjcPQOHiD4W0RS0yFTMvgsH2Ja8m+gL+8gvLaC+ky99GnejR6MuhPi0xmDBPbaEENZFAlYtkFlc3uvK1QZWDDTgYJRwJWqGpqqUnDxIQfQaig7tAr0Ox7CeOE18HtvGrcw+ippZlMWu8/vZmbKXmEsHKVVKaeremNEth9HDvwstPJqYvUYhRO0kAcvKFZs0Rq1TyCyB6JFGfBzkl4WofsrlTAr2rqdg91qUzIsY6wXgNjwKx44DMDiZbwoYTdNIyjnDzpS97Dq/j+OZieh1etr6tGFK6L109+9MIxc/s9UnhKg7JGBZMVXTuH+rwv4Mjc3DDDR3k3Alqo+mKBQf20fB7jXl11YZbHAI74nTfU9j2yTIbCNBpUoZcamH2XV+HztT9pJWmIGj0YFODSIY02o4nRpE4GYn8/4JIWqWBCwr9txelZ9OaSztb6BzPbljUFQPU8ZFCvaspWDvetTLmdj4t8B9zGM4RvRG72Ceu+tyinPZfWE/u1L2svfiAYpMxdR38qW7fye6NexIO99gbAyW16xUCFF3SMCyUh/GK8w7pPJ+Fz13NpFwJaqWZiql6FA0BbvXUHLiADp7Rxzb98Wp82BsGzWv+Xo0jbO5KexK2ceu83uJz0hA0zTaeLXgvuCxdG3YgabujeV6KiGExZCAZYWWn1GZsUvlqbZ6Hg+Ru55E1dA0jbKUkxTsXU9R7BbUglxsmwbjce/TOIR1R29bs3cClphKiEuLZ/eF/ew5H8P5/EvYGWzp4BfO0x0fpXPD9jI9jRDCYknAsjJ70lTGb1IY00THW51k5ErcPuVyJoUxmynYux7TpbPoXT1x7DQQp06DsKnnX6O1XMpPY/eFGHZfiCH20kFKlFLqOfrQuWF7pjeIJLJ+KHZGuxqtSQghboUELCuS9HuvqwhvHV/3NqCX0yHiFmllpRTF76Zw73qKj8eA3oBD2664jXwQ+1YR6Aw1MzJqUk0cSjvKnt9D1ZnLyRh0Btr6tuGB0PF0btCeQDd/OfUnhLA6ErCsREaxxpDVJjztYPlAA/bS60rcJE3TKDt3goK96yk8sAWtMB/bxq3LL1gP74ne0aVG6sgsymL3hVj2nN/PvotxFJqK8LT3oHPDSCaH3ktk/XYyNY0QwupJwLICRSaNkWsVLpeV97ryspdwJW6ckpNBwf5NFO5djyktGYObN85dh+HYoX+NnAJUVIVjmYnsuRBD9Pn9JGafQoeOIO+WjA8aTeeGkTT3aIJeJ6e8hRC1hwQsC6eoGvdtVojL1Ng6wkBTVwlX4u+pxQUUHdxJYcxmShIPgtGIQ2g33EdPw65lGLpqnhImozCTvRcPsO/iAfZfPEhuaR6uti50bBDOPW3uoINfBO720ptKCFF7ScCycP/Yo7L8rMayAQY6+Mhf+OLaNFMZxcf2UxiziaL4PVBWim2ztrjf/TiOYT2rtWdViVLK4bSj7Lt4gD0XDnD68ll06Gjt1ZxRLYfQqUEkbbxayFx/Qog6QwKWBZt/WOG9IyofddMzorGEK3ElTVUpPX20PFTFbUctzMOmQRPcBk/EIaI3Rg+f6tmvppGcd569Fw6w9+IB4lIPU6KU4uXgQQe/cCaGjCWyfpiMUgkh6iwJWBZq6WmVp3arPBuq59Eg+atfVFZ28QyF+zdRGLsFJTsNg4cvTl2G4Ni+LzZ+gdWyz/zSAmJTD7H3Qvmpv0sFadjojYT6BvFA6Hg6+kVIs08hhPidBCwLtCtV5b7NCvc00/GvjjJyJcqZstMpit1CYcwmyi6cRu/ogkNYDxwj+5bPBaiv2p8VVVM5kZVUMUp1NOM4iqbi79KAro060Mkvgnb1QnAw1mwDUiGEsAYSsCzMiZzyOwY7++pY2Et6XdV1Sm4WRQd3UHhgG6Wn48Fog0NwZ1yHTsK+dXt0xqqdb+9ifioxlw6y/2IcsamHuFySh6PRgYj6oTzRfiodG0Tg51yvSvcphBC1kQQsC5JWpDFkjQlfB/hlgAE7g4SrukjJz6Ho4E6K4rZRcvIw6HTYt47AY/xTOIR2RW9fdRer55XkE5t6iP2XDhJzMY7z+ZfQ6/S09mzOHS2G0L5+GME+rTDq5VAhhBA3Q46aFqKgTGPEWoVCE2waZsTDTsJVXaIW5FF0aAeFcdspSYwDwK5FGB73zMChbTf0TlXTBLRUKeNI+rHyUapLBzmRlYT6+2m/Dn7hTPNrR3i9trjYOlfJ/oQQoq6SgGUBFFXj3s0K8dka20YYaewi4aouUAvzKTq8i6K47RQnxIKmYde8Le5jHsOhXTcMzu63vw9N5VTO2YrTfgfT4ilRSnGzcyWyfjtGthhMZL1Q6jv73v4LEkIIUUEClplpmsYT0Sq/ndP4dZCBCG8JV7WZWlxA0ZHdFB3YRvHxWFBN2DYJxv3Oh3Fo1x2Dq+dt7yOtIJ39lw6y/+JBYlMPkl18GVuDLe1+v9uvff0wmnkESud0IYSoRhKwzOztwyofHVX5tIeBIf7yC682UgvzykPVoZ3lEyubyrANbIPbiMk4hvXA4O59W9vPKb7MgdQjxKYe4sClQyTnXUCHjpaezRjatD/t/cII9mmNncG2il6REEKIvyMBy4x+SFJ5Zo/KS2F6Hmot4ao2UfKyKTq0i6JDO8unqlEVbJsE4TYsCod23TF63vqdeAVlhcSlHuFA6iFiLx0mKecMAAGuDYmo344p7SYQUb8tbnbS5FMIIcxFApaZbL+oMmmLwoTmOt5oL+GqNjBlp1N0aCdFh3ZSeuoIoMOueWj56b/QbhjcvG5pu8WmEo6kHyM29TAHLh0iIeskiqZSz9GH8PptGRd0J+H12uLjeGvbF0IIUfUkYJnBsWyNO9YrdKun4/OeBul8bcVMGRfKJ1U+uIOycwlgMGLfMhyPe57APqQLBme3m95mmVLG8cyTxKQe5MClw8RnHKdMNeFh70Z4vVCGNh9ARL22NHCuLz87QghhoSRg1bBLhRpD15ho4Ag/DzBgK72urIqmaZgunS3vU3VoB2UXTqOzscOuTSQuPZ/FPrjTTU+qrKgKJ7NPE/v7Kb/D6UcpMhXjbOtEmG8Ij0Q8QES9UALd/CVQCSGElZCAVYPyyzSGr1UoVWHbYCPu0uvKKmiqQumZYxQdjqb4yG5M6efR2TliH9wRl0H3Yd+6PXq7G58uRlEVknLOcCD1CHGphzmUfpT80gLsDXaE+gYxKeQeIuuH0tyjCQa9zEMphBDWSAJWDTGpGvdsVEi4rLF9hBF/ZwlXlkwtLaYk4UB5qDq6BzX/MnoXDxyCO+E2air2rcLRGW/srjyTqnAy+xQH0+I5kHqEw2lHyS8rwNZgS4h3a+5ufQdh9UII8mqJjaFqp74RQghhHhKwaoCmaTy2U2VtisaqwQbCvCRcWSIlP4fiI3soOhJNScIBtLISjL7+OHUahH1IZ2wbt76hCZVNqkJi9iniUg9zMDWeQ+lHKSgrxM5gS4hPG+5pM4qweiG09mqBrQQqIYSolWosYM2YMYMVK1Zw9uxZDh8+TEhISMVziYmJ3H///WRkZODu7s7ChQsJCgqqqdKq3ZsHVT49rvJFTwMDG8kdg5akLC2F4iPRFB2OpvTMMQBsA9vgOmQC9iFdsPFt9LfbMKkKiVlJ5af80spHqApNRdgb7AjxacP4oNGE+YbQ2qu5jFAJIUQdUWMBa+zYsTz77LN07979iucefvhhpk6dSlRUFEuWLGHKlClER0fXVGnV6puTKi/uU3k1Qs8DrSRcmZumqpSePU7xkd0UHY7GlJYMNrbYt4rA456Z2Ad3wuDift1tmFQTJ7KSfu9FdaTionR7gx1tfdtwX/BYwuqF0MqzmQQqIYSoo2osYPXs2fOqj6elpREbG8u6desAGDNmDNOnT+fMmTMEBgbWVHnVYvMFlQe2KkS11PFqhIQrc1GLCylJiKUofi/Fx/ah5mWjd3LDPrgTbiMmY9cqHL3ttS9SN6kmjmee5GDaEeJSj3A4/RhFpmIcjPa09WnDxJC7CKvXllaezTDq5ay7EEIIC7gGKzk5mQYNGmA0lpei0+kICAjg3Llz1w1YM2fOxN3dnfHjxzN+/PgaqvbGxWdp3Lleobefjk97SK+rmmbKuFAeqI7upeTkIVBMGOsH4NihPw4hnbANbIPuGnfolSllJGSd5EDqEQ6mHeFI+vE/BaogJoXcTVi9EFpKoBJCCHENFvHb4a/hQ9O0v11n/vz5REREVFdJt+VCgcaQNSYaO8OS/gZs9BKuqpummCg9fZSi+D0Ux+8tP/VnsMGuRSjudzyEfVBHjN5+V123RCnleGYih9LiiUuN50j6MYqVEhyNDhVtE8LrhdDCsxlGaZsghBDiBpg9YPn7+5OSkoLJZMJoNKJpGsnJyQQEBJi7tFuSV6oxbK0JDVg12IirrYSr6qIU5FJ8bB/F8XspPrYfrbgAvasH9kEdcRv+QPmpPzuHK9YrLCvkSPpxDqUd5WBaPMczEylVy3CycSTUJ4gHQsfTrl4ILTyaSqASQghxS8wesHx9fQkPD2fx4sVERUWxdOlSAgMDrfL6qzJV466NCqdyYcdIIw2dJFxVpYou6vF7KI7fQ+mZ46Cp2Pi3wLnXKByCO2HTqPkVrRRyinM5nF4epg6lHeVk9ikUTcXdzo12vkE8HH4/ob7BNHNvLI09hRBCVAmddiPn46rAY489xvLly7l06RLe3t44Oztz8uRJABISEoiKiiIzMxNXV1cWLVpEcHDwVbcTGxtLZGQkMTExFnWKUNM0Htqu8FWixurBBvo1lIvaq4JaXEDJiTiKj+2n+HgMSnYaOlt77FpF4BDcEfs2Ha6YRDmtMKNidOpQWjxnLicDUN/Jl1DfIEJ9g2nnG4S/S0O5Nk4IIUS1qLGAVVUsNWC9EavwSozKV70NTGwh4epWaZpG2cXTFB/dT8nx/ZScigdVwejTEPs27bFv0wG75qHobGwrlj+fd7E8TP0+SnUxPxWAANdGtPs9TIX6BlPPycecL00IIUQdYvZThLXBohMqr8SovBGpl3B1C9TCfIpPHCi/nup4DOrlTHS2dti1CMP9zoexb9Meo3eD8mU1lVM55ziYFl9xyi+rOBu9Tk9zjyZ0a9iRdr7BtPVtg4e9u3lfmBBCiDpLAtZt2nBe5cFtCg+20vFSuISrG6GpKmUXTpWf9ju2r7yDuqpirBeAY3gv7Nu0x65pCDobW0yqiYSsJA4d/ZmDaUc5/PvEyEa9kTZeLRjSrB+hPkGE+LTG2dbJ3C9NCCGEACRg3ZZDmRqj1yv0b6jj4+7S6+p61II8ihNi/3+UKi8bnZ1D+SjVmMewbx2J0as+xaYSjmYkcOjYzxxKjyc+PYFipQQHoz1B3q24u/UdtPMNpo1XC+yMduZ+WUIIIcRVScC6RSn5GkPXmmjuCj/2k15Xf6WpKmUpib+PUu2n9GwCaCpGv0AcO/Qrv5aqSRAFailH0o9x8NxaDu6PJyErCZNqwsXWmVDf31sm+AbTwrOpNPUUQghhNeQ31i24XFoergw6+G2wERfpdQWAkn+ZkuMxFB8vv+NPzb+Mzt4R+5bheNz9OHZt2pNrZ0NcejyH0vZycN2XJGWfQUPDy8GDdr7BDGjSm3a+wQS6+aPXySlXIYQQ1kkC1k0qVTTGblA4lw+7Rhrxc6y74UpTTJSeTfj91N9+ypJPgKZh07AZTp0GYR/UgSwfL/ZnJHAwLZ7D23/lXO55ABo61yfUN5gxrYbTzjeYBs715RSrEEKIWkMC1k34o9fVtosaa4cYCPKoW4FA0zSUjIsUJ8RQnHCAksQ4tOJCdA7O2LeKwKnrUNL9GxJbeJ5DafEcPDSftMIMAJq4NSaiXigPtB1PqG8Q3o5ef7M3IYQQwnpJwLoJr8WqfJWo8U0fA70b1I3TV2phPiWJceWjVAmxKJmXQG/ANrANjn1Gc6GRH0f1+RxKP8ahlG/ISbqMQaenpWcz+jTuTjvfIEJ82uBm52rulyKEEELUGAlYN+jz4yqvx6r8q4Oee5vX3nD159N+JcdjKD13ovzidJ+GGNq057x/PY7bmziUlciR9N8oyCjEVm9DkHcrRrYYRKhvMMHerXC0uXIOQCGEEKKukIB1A9Ymqzy8Q2FaGz3Ptatd4arSab/jsZQkHkQrKUTn6AwtQzkdeifHnTSO5J/laMZWSk+W4mh0IMSnDfcGjSHUN4jWXi2wNdiY+6UIIYQQFkMC1t84kKExdqPCEH8dH3TV14oLsdXCPIoTD5bf8ZcQi5KVCnoDpU1bcap7F4676DlSfJETWXEol2Jws3Mh1DeYqWETCfUJoplHE4wyKbIQQghxTRKwruNcvsawtSZau+n4vq8Bo5X2uio/7Xe8fIQqIbbitF+enx8nWzcmwbUp8WXpnM49hZabhI/Ji3a+wQxt1p9Q3yAau/rXimAphBBC1BQJWNeQU6IxdI0JOz2sHGTAycZ6AoamaZgyLvw+QnWAksSDqCWFpLs5caqpPwnN2hKvZHG+MA3KsmhU2oB2vkHcEzyadr7B1HfylUAlhBBC3AYJWFdRomjcuV7hQmF5r6t6VtDr6q+n/cqyUrngaCAxsAEnOjTkqHaZjNLL6DhDU0NjOvp1oJ1vMKG+QXg5eJi7fCGEEKJWkYD1F5qmMWWbQnSaxoahBlq7W2a4+utpv6JzJzjroHHCz4MTLZw4pnMnVynCoMuklUtz+vtE0s43mLY+bXCxczZ3+UIIIUStJgHrL17er/LNSY0f+hroXt9y7hisfNovloKTB0kyFnPc04EEH2cS6jlSpJVhaygj2Lsed/r2oZ1vMEHerXAw2pu7fCGEEKJOkYD1J58eU5kbpzKvk567m5k/XKkFeRQnxlGSEEv+8f0klmVwzNXAcV8XEtrqKMEWR6Mtob7NmegbRDvfYFp5NsdGWiYIIYQQZiUB63erzqk8slNhepCep9qaJ1xpionSM8cpToghPyGWhMyTHHOB414OJDRXfw9UDrTzDWJyvRDC6oXQ3KOptEwQQgghLIwELCAmXePujQojAnTM71Jzva40TcOUfp6ShFjyEvZz/PxhjtqXcszdhhM+Okp8jTga7WnnGyKBSgghhLAidT5gnckr73UV4qnj274GDNXc66r8tN8B8o/t5+i5/cRzmaOuBhJd9JQ013A0OBFaL4TJ9dpKoBJCCCGsVJ0OWFnFGkPWmHC2gV8HGnA0Vn240kxllJ49Tt6xfRw9vYfDhSkcddGXB6pG4Kh3JNQ3mMl+7SRQCSGEELVEnQ1Yf/S6Si+C6DuM+DhUTbjSNA1TWgr5x/cRf3IXB7NPctRRKQ9UnuDg5UCod2seaBRBWL22tJBAJYQQQtQ6dTJgqZrG/VsU9qZrbBpmoIXb7YUrpSCX/IQY4hO2Epd+lHhjEYnOOkrsdTg0MNLWoxUPBHQkrH6oBCohhBCiDqiTAev5vSo/ntJY0t9Al3o3f8egZiqj+HQ8x45uIebiAQ6pWSQ46ygx6HDwMhLi2oKoxp0JbxgugUoIIYSog+pcwPooXuGtQyrzu+gZ3eTGwpWmaZSlJpN0ZDMx5/ZwsOg8R5018o06bJ31hDg2ZmLjjrQP7CKBSgghhBB1K2CtOKsyI1plZoieJ0KuH4KU/MukxG9nX9I2Dl4+xWH7UrJtdRhsoaWzD6P8wmjfoifBPm2wlcaeQgghhPiTOhOw9qapjNuocGegjrc7XzlypZnKSD+xn/0JGzmQcYzD+jwu2pdfm9XEzZW+PpG0b9GbsIbtcLRxrOnyhRBCCGFF6kTASsrVGL5WIdxbx9e9Deh1OjRNI+/8SWKOrCX24gEOmTI466Ch6XT4OdgT7hbC1OY9iWjSFXd7V3O/BCGEEEJYkVofsDKKNYasNuFuC8sHGuDyJdZEf8PGC3s44FBCmV6Hp9FIO9cm3NW4Ex1a9aOei6+5yxZCCCGEFavVAavIpHHHOoWi4iI+afgLH323id36bAqNOpo6OhHVsAfd2w6jsVfTGpseRwghhBC1X60NWKqm8eDaNFomz8bb6Rz/SYV6BiN3eLVncIdxBPq2NHeJQgghhKilam3AenF9ItqFFzjvYmKgQzMGhY8hpFlXGakSQgghRLWrlQFr/sZoTqT8G5MtzO/yHEEtupq7JCGEEELUIbUuYH29fSfrk/+DE0Y+GDiXhn6tzF2SEEIIIeqYWhWw1sTF8dPJ/+Cs2fDf0R/i6V7f3CUJIYQQog6qNQFrf1ISC2JnYUTP20PfknAlhBBCCLOpFQHrbHo68zY/i2LUeLPXHBrVb2LukoQQQghRh93YbMcWLKewgFeWPUG2rYmnI54hqEmwuUsSQgghRB1n1QGrrMzEc9/MINk+nwcDo+gZ2s3cJQkhhBBCWG/A0jSN575+juOOGYx1H8JdPe80d0lCCCGEEIAVB6wvd31LjN1J+ukjeXTEI+YuRwghhBCigsUErMTERLp27UrLli3p2LEjR48eveayXu3rc9gjkcjSQP457p81WKV1++6778xdglWS9+3WyPt2a+R9u3Xy3t0aed9uzd+9bxYTsB5++GGmTp3KiRMnePbZZ5kyZco1l239aCQNsxz598R5MvXNTZAP0a2R9+3WyPt2a+R9u3Xy3t0aed9uzd+9bxbRpiEtLY3Y2FjWrVsHwJgxY5g+fTpnzpwhMDCw0rJFRUXkncymb4vRHD502AzVWq+cnBxiY2PNXYbVkfft1sj7dmvkfbt18t7dGnnfbk1OTg6FhYU4OjpefQHNAuzfv19r06ZNpcc6dOigbd269YplFy9erAHyJV/yJV/yJV/yJV9m/YqJiblmtrGIESzgilN9mqZddblBgwaxePFiAgMDcXBwqInShBBCCCGu0Lp162s+p9OulWRqUFpaGi1atCAzMxOj0Yimafj5+bF79+4rThEKIYQQQlg6i7jI3dfXl/DwcBYvXgzA0qVLCQwMlHAlhBBCCKtkESNYAAkJCURFRZGZmYmrqyuLFi0iOFimvRFCCCGE9bGYgCWEEEIIUVtYxClCIYQQQojaxKoC1s10exf/b8aMGQQGBqLT6Thy5Ii5y7EKxcXFjBo1ipYtWxIWFsbg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      ]
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "cell_type": "code",
   "source": [
    "using Plots\n",
    "pyplot()\n",
    "\n",
    "plot(\n",
    "    xlim = (0, 7),\n",
    "    xticks = 0:1:7,\n",
    "    xlabel = \"Vertical Displacement at the Joint (m)\",\n",
    "    yticks = 0:10:70,\n",
    "    ylim = (0, 70),\n",
    "    ylabel = \"Load (kN)\",\n",
    "    grid = false,\n",
    "    overwrite_figure=false\n",
    "    )\n",
    "uz_l = [linear_states[i].points[ijoint].u[3] for i = 1:length(Fz)]\n",
    "uz_nl = [nonlinear_states[i].points[ijoint].u[3] for i = 1:length(Fz)]\n",
    "uz_fnl = [nonlinear_follower_states[i].points[ijoint].u[3] for i = 1:length(Fz)]\n",
    "\n",
    "plot!(uz_l, Fz./1e3, label=\"Linear\")\n",
    "plot!(uz_nl, Fz./1e3, label=\"Nonlinear with Dead Force\")\n",
    "plot!(uz_fnl, Fz./1e3, label=\"Nonlinear with Follower Force\")"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "This plot matches the plot provided by Wenbin Yu in \"GEBT: A general-purpose nonlinear\n",
    "analysis tool for composite beams\"."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We can also visualize the deformed geometry and inspect the associated point and element\n",
    "data for any of these operating conditions conditions using ParaView.  To demonstrate\n",
    "we will visualize the 70kN follower force condition and set the color gradient to\n",
    "match the magnitude of the deflections."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "airfoil  = [ #FX 60-100 airfoil\n",
    "    0.0000000 0.0000000;\n",
    "    0.0010700 0.0057400;\n",
    "    0.0042800 0.0114400;\n",
    "    0.0096100 0.0177500;\n",
    "    0.0170400 0.0236800;\n",
    "    0.0265300 0.0294800;\n",
    "    0.0380600 0.0352300;\n",
    "    0.0515600 0.0405600;\n",
    "    0.0669900 0.0460900;\n",
    "    0.0842700 0.0508600;\n",
    "    0.1033200 0.0556900;\n",
    "    0.1240800 0.0598900;\n",
    "    0.1464500 0.0640400;\n",
    "    0.1703300 0.0675400;\n",
    "    0.1956200 0.0708100;\n",
    "    0.2222100 0.0733900;\n",
    "    0.2500000 0.0756500;\n",
    "    0.2788600 0.0772000;\n",
    "    0.3086600 0.0783800;\n",
    "    0.3392800 0.0788800;\n",
    "    0.3705900 0.0789800;\n",
    "    0.4024500 0.0784500;\n",
    "    0.4347400 0.0775000;\n",
    "    0.4673000 0.0759600;\n",
    "    0.5000000 0.0740900;\n",
    "    0.5327000 0.0717400;\n",
    "    0.5652600 0.0691100;\n",
    "    0.5975500 0.0660800;\n",
    "    0.6294100 0.0627500;\n",
    "    0.6607200 0.0590500;\n",
    "    0.6913400 0.0551100;\n",
    "    0.7211400 0.0508900;\n",
    "    0.7500000 0.0465200;\n",
    "    0.7777900 0.0420000;\n",
    "    0.8043801 0.0374700;\n",
    "    0.8296700 0.0329800;\n",
    "    0.8535500 0.0286400;\n",
    "    0.8759201 0.0244700;\n",
    "    0.8966800 0.0205300;\n",
    "    0.9157300 0.0168100;\n",
    "    0.9330100 0.0134200;\n",
    "    0.9484400 0.0103500;\n",
    "    0.9619400 0.0076600;\n",
    "    0.9734700 0.0053400;\n",
    "    0.9829600 0.0034100;\n",
    "    0.9903900 0.0019300;\n",
    "    0.9957200 0.0008600;\n",
    "    0.9989300 0.0002300;\n",
    "    1.0000000 0.0000000;\n",
    "    0.9989300 0.0001500;\n",
    "    0.9957200 0.0007000;\n",
    "    0.9903900 0.0015100;\n",
    "    0.9829600 0.00251;\n",
    "    0.9734700 0.00377;\n",
    "    0.9619400 0.00515;\n",
    "    0.9484400 0.00659;\n",
    "    0.9330100 0.00802;\n",
    "    0.9157300 0.00941;\n",
    "    0.8966800 0.01072;\n",
    "    0.8759201 0.01186;\n",
    "    0.8535500 0.0128;\n",
    "    0.8296700 0.01347;\n",
    "    0.8043801 0.01381;\n",
    "    0.7777900 0.01373;\n",
    "    0.7500000 0.01329;\n",
    "    0.7211400 0.01241;\n",
    "    0.6913400 0.01118;\n",
    "    0.6607200 0.00951;\n",
    "    0.6294100 0.00748;\n",
    "    0.5975500 0.00496;\n",
    "    0.5652600 0.00217;\n",
    "    0.532700  -0.00092;\n",
    "    0.500000  -0.00405;\n",
    "    0.467300  -0.00731;\n",
    "    0.434740  -0.01045;\n",
    "    0.402450  -0.01357;\n",
    "    0.370590  -0.01637;\n",
    "    0.339280  -0.01895;\n",
    "    0.308660  -0.021;\n",
    "    0.278860  -0.02275;\n",
    "    0.250000  -0.02389;\n",
    "    0.222210  -0.02475;\n",
    "    0.195620  -0.025;\n",
    "    0.170330  -0.02503;\n",
    "    0.146450  -0.02447;\n",
    "    0.124080  -0.02377;\n",
    "    0.103320  -0.02246;\n",
    "    0.084270  -0.0211;\n",
    "    0.066990  -0.01913;\n",
    "    0.051560  -0.0173;\n",
    "    0.038060  -0.01481;\n",
    "    0.026530  -0.01247;\n",
    "    0.017040  -0.0097;\n",
    "    0.009610  -0.00691;\n",
    "    0.004280  -0.00436;\n",
    "    0.001070  -0.002;\n",
    "    0.0        0.0;\n",
    "]\n",
    "\n",
    "section = zeros(3, size(airfoil, 1))\n",
    "for ic = 1:size(airfoil, 1)\n",
    "    section[1,ic] = airfoil[ic,1] - 0.5\n",
    "    section[2,ic] = 0\n",
    "    section[3,ic] = airfoil[ic,2]\n",
    "end\n",
    "\n",
    "mkpath(\"static-joined-wing-visualization\")\n",
    "write_vtk(\"static-joined-wing-visualization/static-joined-wing-visualization\", assembly, nonlinear_follower_states[end];\n",
    "    sections = section)"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "![](../assets/static-joined-wing-visualization.png)"
   ],
   "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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