{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from myst_nb import glue\n",
    "%config InlineBackend.rc = {'figure.dpi': 300}\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "import sys\n",
    "sys.path.append(\"../py_figures\")\n",
    "import diagrams_2d_chap9 as diagrams_2d"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(content:chap9.3:wells_sem_con_aqu)=\n",
    "# Wells in a semi-confined aquifer\n",
    "\n",
    "The solution for steady flow to a well in a semi-confined aquifer was presented in {numref}`content:chap6.4:well_sem_con_aqu`. In this section, the equivalent solution is presented for transient flow. Consider a semi-confined aquifer with transmissivity $T$ and storage coefficient $S$. The top of the aquifer is formed by a semi-confining layer with resistance $c$ ({numref}`Figure %s <fig_well_pumping6.4>`). Storage in the semi-confining layer is neglected. The head $h^*$ above the semi-confining layer is fixed to zero. Vertical leakage $q_z$ through the semi-confining layer is computed as Eq. ({eq}`eq_qz2.0`)\n",
    "\n",
    "$$\n",
    "q_z=\\frac{h-0}{c}\n",
    "$$(eq_vert_leak9.3)\n",
    "\n",
    "so that the governing differential equation for radial flow is\n",
    "\n",
    "$$\n",
    "\\frac{\\partial^2 h}{\\partial r^2}+\\frac{1}{r}\\frac{\\partial h}{\\partial r}= \\frac{S}{T}\\frac{\\partial h}{\\partial t} + \\frac{h}{cT}\n",
    "$$(eq_deq_rad_sym_transient_flow_semi9.3)\n",
    "\n",
    "A well starts pumping with discharge $Q$ at time $t = t_0$. Initially, the head change caused by the well in the aquifer is equal to zero everywhere. The initial and boundary conditions are the same as those for the Theis solutions ({eq}`eq_bctheis19.1`, {eq}`eq_ictheis9.1`, and {eq}`eq_bctheis29.1`).\n",
    "<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; The solution to this problem was first obtained by {cite:author}`hantush1955nonsteady` ({cite:year}`hantush1955nonsteady`) and is referred to as the Hantush function\n",
    "\n",
    "$$\n",
    "h = -\\frac{Q}{4\\pi T}\\int_u^\\infty \\frac{1}{\\tau}\\exp\\left(-\\tau -\\frac{r^2}{4\\lambda^2 \\tau}\\right) \\text{d}\\tau\n",
    "$$(eq_hhantush9.3)\n",
    "\n",
    "where $\\lambda=\\sqrt{Tc}$ is the leakage factor and $u$ is defined as for the Theis well\n",
    "\n",
    "$$\n",
    "u =  \\frac{S r^2}{4T(t-t_0)}\n",
    "$$(eq_u_theis_well9.3)\n",
    "\n",
    "The solution for the case that the head above the semi-confining layer is equal to $h^*$ rather than zero is obtained by simply adding a constant $h^*$ to the solution. Note that this is allowed because $h=h^*$ is a particular solution to the differential equation\n",
    "\n",
    "$$\n",
    "\\frac{\\partial^2 h}{\\partial r^2}+\\frac{1}{r}\\frac{\\partial h}{\\partial r} = S\\frac{\\partial h}{\\partial t} + \\frac{h-h^*}{cT}\n",
    "$$(eq_diff_eq9.3)\n",
    "\n",
    "<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; The seemingly easy integral in the equation for the head (Eq. {eq}`eq_hhantush9.3`) cannot be integrated analytically, nor is it included in the special functions of the `scipy.special` package; early literature included tabulated values. The easiest way to compute the integral with Python is to use numerical integration using, e.g., the `quad` function of the `scipy.integrate` package. The `quad` function returns a number of items, of which the first one is the computed integral. In the example code below, the head is first plotted as a function of $r$ and then plotted as a function of $t$ ({numref}`Figure %s <fig_hantush9.3>`). The solution for a well in a semi-confined aquifer (Hantush) is compared to the solution for a well in a confined aquifer (Theis). The Hantush and Theis heads are similar for early times when most of the water pumped by the well comes from storage. The Hantush and Theis heads deviate when a significant amount of water pumped by the well comes from leakage through the semi-confining layer. The Hantush solution approaches the steady state solution for a well in a semi-confined aquifer {eq}`eq_besselwell6.4` in approximately one day for the parameters used in the example below. The Theis solution does not reach steady state, as explained in {numref}`content:chap9.1:theis_well`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "leakage factor: 447.21 m\n"
     ]
    }
   ],
   "source": [
    "# parameters\n",
    "T = 200 # transmissivity of aquifer, m^2/d\n",
    "S = 0.0005 # storage coefficient of aquifer, -\n",
    "c = 1000 # resistance of leaky layer, d\n",
    "Q = 800 # discharge of well, m^3/d\n",
    "rw = 0.3 # radius of well, m\n",
    "lab = np.sqrt(c * T) # leakage factor, m\n",
    "print(f'leakage factor: {lab:.2f} m')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [],
   "source": [
    "# from Section 9.1\n",
    "from scipy.special import exp1\n",
    "def theis(r, t, T, S, Q):\n",
    "    u = S * r ** 2 / (4 * T * t)\n",
    "    return -Q / (4 * np.pi * T) * exp1(u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# solution\n",
    "from scipy.integrate import quad\n",
    "\n",
    "def integrand(tau, r, T, lab):\n",
    "    return 1 / tau * np.exp(-tau - r ** 2 / (4 * lab ** 2 * tau))\n",
    "\n",
    "def hantush(r, t, T, S, c, Q):\n",
    "    lab = np.sqrt(T * c)\n",
    "    u = S * r ** 2 / (4 * T * t)\n",
    "    F = quad(integrand, u, np.inf, args=(r, T, lab))[0]\n",
    "    return -Q / (4 * np.pi * T) * F\n",
    "\n",
    "hantushvec = np.vectorize(hantush) # vectorized version of hantush function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": [
     "remove-output"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# basic plot for one value of r and one value of t\n",
    "plt.subplot(121)\n",
    "r = np.linspace(rw, 2 * lab, 100)\n",
    "t = 6 / 24\n",
    "plt.plot(r, hantushvec(r, t, T, S, c, Q), label='Hantush')\n",
    "plt.plot(r, theis(r, t, T, S, Q), label='Theis') # theis func from Section 9.1\n",
    "plt.legend()\n",
    "plt.subplot(122)\n",
    "t = np.linspace(0.01, 2, 100)\n",
    "r = lab # evaluate head at r=lambda\n",
    "plt.plot(t, hantushvec(r, t, T, S, c, Q), label='Hantush')\n",
    "plt.plot(t, theis(r, t, T, S, Q), '--', label='Theis')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": [
     "remove-input",
     "remove-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "application/papermill.record/image/png": 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",
      "application/papermill.record/text/plain": "<Figure size 800x320 with 2 Axes>"
     },
     "metadata": {
      "scrapbook": {
       "mime_prefix": "application/papermill.record/",
       "name": "fig_hantush"
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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P/JmK2QYFNidmu6wsDhVm9Izs3ooXpg+Fo39hs9tp8UKcS8Zx3oDSFSP68uu7T8Ev94HDyujP87GVM+g0atgg9FffyaiO1f8eNfX7V036gbCwsDLlNRoNgYGBZR5TW31H/2D44bQyPWbV4VSu7tMKxi2AsfPhz9lw8BekzFNoPxsPly+C3jdXue6LCdG3Vg3RTpUj2qhyatJG1ZFvMoaFTqejb9++xMTEcPXVV7vKY2JiuPLKKxtQM0FdYHM4ic8sIDY9j7j0fOIy8olNz+Nocg6pORYs9qq6+rijksBTp6Z9qDfTBrQmwKjDz1PH+qMpBBp1hPt5EOilx89Ti7+nDh+DBo3a/Y3+Y+M7Vvl8IT7FLg42p6NGOtcbsqw87Juzz1tMyqelcNuSo5RZcsBS9Fm0ngtyza9TBfgBFBSXOWXlIb/of4fWk1yngY1nneQ6NOQ51OTa1OTZJfJsEnk2GN4tgiuHdAZ7AYkZedzwRgz5Fjt5Zhv5Fhv5Fjv5Nif5ZhsP3HINi+fNglVzycww0fvDfeXqd8stt3DpQx/DC8HINpnFG3PKlQ3tOgyueAeeD0FjN5OR7yxzwrZKpUL2CYfuU2HT22A3063lYexOCZ1WjV6rQa/Tojf6oG/Rma5du1KgDwZt9d05mzo16QcGDx7M77//7la2evVq+vXrV+cPIHo1BHnpSMu18vPuRMWwAMW3b/JbMPoZ+O1BOPIH/PoAJB+ACQvdff8EAoGgCdFkDAuA2bNnM336dPr168fgwYP56KOPiIuL4957721o1QQ1JDvfxonUHI6dy+XEuRyOJOdwPCWX1FxLqag9ldE2yMj9o6IJ9dET6mNg7eFzBHsbCPM1EOKtJ8TbgI+Hpkz3h75t/GvpihoBTgcUZEJ+hvJZkFFivcRizoKCrML1QqPhAoyCUui8Mas8OZ2jxeTQYbJrybZpMNnUmKwSJitc0rsDI/t3A52R40k53PXCEpJTM3EikZtfQG6embwCM7Is8/T/nuL5J56ArR+QcOIUE5/5pNxT26JGc+XIJ+H19pDj5N9DueXKFmh8IWIgJO/D0yoT5iXhqQUPTeGnVsLDNwSPtgPp27cvaHQQMRCDSsfcK0/j4WHA4OGBweCJh6cnhqA2GDqMoHXr1soJbvgaSa3l4Ihz6D29MXj5offyQW/0xeAdiMZQwkC4V8nHsGtm+c1qs9lYsWJF+QIXOZX1A3PmzCEhIYEvvvgCgHvvvZfFixcze/ZsZsyYwZYtW1iyZAnffvttvejbP9Kfvw6cY8/ZzNI7PQPg+q/g53tg3/ew7X3IjoepS0BTesREIBAIGjtNyrC4/vrrSU9PZ8GCBSQlJdGtWzdWrFhBmzZtGlo1QSXYHU5OpeVxMDGbI0k5HE7O4WiyiXOm853V3TFoVYzoEEzrAE8iAjz5eVcCPh5a2od60TbIi4gAD1r6eRDu54GhMPxnER1CvevykuoPuxXy0yAvtXBJK1xSIT+99FKQRbmxT6uCSots8KVA5U2Gw4NMuwchwYGEhoWB3ofYTAdL/z5AVr6drAIbWbkWsnILyM4tIMuUyxOPPcJ9DzwEKhV7Nm1k8LDh5Z7qmciRjOx+Lfx0J47TiWz471C5srn5ZnDY4J+X8ct10jtMhVEn4aUDo1ZS1lu0x7ObkrMAvQ94BBDoZeSHGXY8jd54Gr0xevvg6eWDR5s+GPvfiLe3t/IQd92XeOmMJN3nDTov0HspnzovxZgoyZ2rUQEv3F6F9mw/FoDObasgK6iUyvqBpKQkt5wWUVFRrFixgkceeYT/+7//Izw8nHfeeafOQ80WcW2flvx14Bwms53UHAvB3ucZDJIEI56EYysV4/7I7/DFlTBtmQhLKxAImhxNyrAAuP/++7n//vsbWg1BBTidMqfSctlzNpv98VnsisviSLIJm6Psh121SsJROMlZAsJ8DXQI9aZzC2+6hvtyec/i+QS3DI6shyuoB2RZGUXISYLcZMg5B7nnIDdF+cxLLd42Z9XsHHpf8PDDpvcjw+FFms1AmlVHullNegEM7teTbt27g8GPnccSeGTe62RkmcjIzCIjI8Et3Oabb77JI1c8AnYLyetXMX/JK+WeNjktCzJPw0ej8EvIwN8AvgYJH33x4t2iHb6dRtCvXz9Q6yBuC60cMt9d44G3Hrx1Et56Nd6+vnj3uQbj5BeVaDwOG/S7g1CDH7uu8gXDeYt3GPi2KlbmydPogalVaa8uV9SsnQX1TkX9wNKlS0uVjRgxgl27dtWxVmUzLDoQtaREnftm2xkeGtOhtFBgO7hrDSwZq4wgxm2BpZPg5uXgFVL/SgsEAkENaXKGhaDxUWB1sDM2g1XxEj99sZM9Z7MxmcufOK1Tq3j28s50buFLh1AvVh88h0Yt0SHUm7bBRvQadbnHNgnsFsVgMCUWLglgSkSdncDws4fRnJqrGA0Oa9XrlNRgDAJjMA6PQNLsXpyz6kkp0JJSACm5DlJzbFx+2SQGXTIaPPxZt2EjU6ZMIStrf5lVvvlmP7pNnQgOO7YT6fy7eVspGY1Gjb9/gOI+lnoU/m8AESYn9/bV4meQXIuvQcKvxyR8xz5KZGQk6DVgyaZTkJqMJ30Vlw+PgOLPDuOg3x3KSRx2uPZzvDz8maL1Yt3WPQyaeDVao39pX3ONTvFNFwiaCJIk0SHMm8NJORxMrCCySlB7uP0v+GSMMtcpeT98MhZu+RkCxHCXQCBoGgjDQlBtzDYHu85ksuVUOptPpLE3PgtlLrUaSAeUibYlI60GGnX0ae1Pj1a+dGvlyyXtg1EXRuK5pm+rUudo1BRkQlYcZJ2F7LPFn9nxypJXdvI0FRBwfqFnIHiFgXcoueoAEi0eJBVoScyRSc6xk5xt5qqrpzJ45DhQqVi1ahWTJk3CWU6eiqDo3gyapLzh9PTwICsrC1Aebvx9PAny9iAwOJjAlu0U15HUY/DeQDoVOFg21YMAD4lAT4kADwl/g4TX0BlIk99QKs9T/rctfbW8f0M4GIPBGAjGEMXoaTMEOg9WZJ1OmPmfYkR4+IGqAmNRrYGuVynrNhsFunjQe4sJrIKLhicmdOL2z3ZwMNFUcWjckM5w04+KK5TDAlmxinFx848QXr2cJQKBQNAQCMNCUCmyLHMqLY91R1L493gaW0+lYbGXdmvq5u9kypAu9I8KYn9CFidT8+jT2p/erf0I9/NoAM1riN2qGA6ZpyHjNGTGQtYZyDyjlFuyK69DrQffluAdjtM7nBSHD2dytWzYexJdYGtGjB5Lr8GjQaNj7dq1XHXVVeTklB1hKDSqC4NHTwAgICAAp9OJJEkEBgQQGuRHiJ+RkNAwQtp0pGfPnoq+n19Bj4xEDt5vJLjQUFAMOSv0nwiXFRoLBZkgO/HzUHPtwBaK24V3mGIseAVD6yHFingGwBOnweCHK0NdeahUyhtYgUDAoKhAdBoVCVkFnEzNIzqkghDQbQbD1E9h2XRlfk9+GiydDNd9AdGX1p/SAoFAUAOEYSEoE7vDyfbYDGIOnWPtkRTOVJD1WaOS6NHKl3H+aUwf1BqtVkv3Vr71qG0NcNgVYyH9JKSfUJaMU8qSfRbkSsLZGoPBNwL8IigwhHEm3xP/lu0IbdcdfFux83Asjz72GHFxh0lI+Bur1d3t6TVjC3oNV4wFX19fl1Hh5eVFeHg4LVq0oEVoMGHhrejdu7cyWXvNAnqmnyHphR4E2ZPRyGYgVVn6XQqT31QqL8iCrDN4qKBLsFrR1buFsvi0UEYWijD4waPHlBGHikYVQBlB8Cw15iIQCCrBQ6emfxt/Np1M55fdCZWHrO48GW5bAcGd4Idb4fQ/8M11MHkR9JleLzoLBAJBTRCGhcCF3eFk08l0VuxLYvWhZDLzi5OS6dQqIoM8OXZOCdvZLtjIJR2CuaR9MAPbBqCV5MYZAtOaD2nHlPkBaUeV9bTjikFRUdI1rSf4R0FAFPi1Af9Izjl8+H3rcU6dM3H6aDyxsbGcPr2ac+fOAfD666/z6PBeAEiqOP755x9XdZIk0aJFC4xGI126dKFt27bKROSUQ3RVneLoN/+jhToLb0uiMjKSfRD63FJiZCELdn2ODggrqacxRJms7NuyuMzgC3esAp9wxc3q/IhGJZEk8C47sZhAIKg9bIXui7/vTaxaLpw2hW6FN/2oJE488CP8NlN5+TH6mcpHDQUCgaABEIZFM0eWZXbFZfHz7nhW7E8mI8/9zXqPVr7cPzKaYe2DsNgc/LEvidGdQogIcE/OZbPVTWbkKuOwKQbDuYOQcghSjyifmWcoN/SqxgAB7SCwHQ6/tpyx+nIsQ+J4Sj4nzp7jxOaT3HDDBKZPUN4Qxu/cyYxHbyyzKi8vL7coSh06dOCbb74hIsSPCC8H4ZocVFmn2BOXTY+bX1QSc+VnwIeXYADKiBOjzN0owsMPRj8N3uHgF6EYEz4ty451L0nQelBVWk0gENQTg9sGsf10JvFZBTidMipVNeYQqTVK9DSHFTa+qRgXV70PuuaXJFEgEDRuhGHRTDlnMvPjznh+2hnPqbS8MmUMWhWjOoYwoZvyjtxLr+HWIZH1qGU5mLOViCmuZZ8yIlFelCXPQMWlIKgDOZ5tsHi3JqhDf/BpxfGTJ7nqqqs4cWJZKXclgLZt2zJ9umJYtGvXjgkTJtC2bVuioqJcS2SbNvgHFEZOslvgz9l4pZ/kxrTjcDTNrb6WPj1L6BUAgdHg4Q/+ka6REWVpoxgRJbnk8Zq3mUAgaFCu7BXO22uO43DKHEjMpkcrvyoeKUNWvHJ/M/iCJQ8O/QIZJ+H6r5V7hUAgEDQShGHRjJBlmU0n0vl62xlWHzrnyh1REq1aYmTHEC7vGc6lnUIw6hv4K2LJgcQ9kLgLEndD0l7lbV1Z6LyVqCqhXcn1asvBLB0Hky0cOH6Gg2sOcujQT8THx/PQQw+xaJGSHCswMJBDh5SkbHq9nujoaNq3b+9a+vfv76rez8uDv5a+DimHFUMm9RfYcgxOdILrPleE1Do49Lv7BG+vUAhoh9M/iqQMPYEldX5wZ601lUAgaLxEBRnRqVVYHU5+2ZNQdcNCo4cbvoZPxysjsX5tisPRfjQSrl0KbUfUoeYCgUBQdYRh0QwosDr4eXcCn246zYmUXFd5vzb+XNc/grVHUkjMKmBq31ZM7hFOgLECn/y6xOlQOs6z2yH+P0j4T3mAL8uVyTcCwnogh3Yj1hGC2TuSzgNGg0pFSkoKoaHlzxtITk52rQcEBBATE0N0dDQRERGo1WpFj/wMJSoSKMnsPhoByQdAdpShd4mcHZIEY+cr4VIDo5XEV3olA7jDZiNuxQq61aRtBAJBk0aSJNoEenI8JZfNJ9Krd7CHnzLX4pMxStCJVv0VV8jkffDlVTBqLgybLeZdCASCBkcYFhcx2fk2lm6OZenm024TsQE+nN6H8V1bAHBFz3AM2gZISmfNV4yHuK1wZrNiTFjLCLnqGwHhvXCG9eKYJZid8WZ2HjjKrl93sWfPCrKzs7n88sv57bcxAAQHBxMYGIhGo6Fbt25069aNrl270rVrVzp37oy/v39x3ZZcxnTwhuQY2Lcfzh1QRiT8o+D+zYpMUcx52aFksw7pBMEdC92rOirrJel3ex00lkAgaOoMbhfI8ZRcTqXmVpzPoiz8IuCmH+CzSRC/AzpfASFdYd+3sPZ5OLMJpnysRHgTCASCBkIYFhchGXlWPtpwiq+2niHXUjoDdvsQL/w8ikcl6s2osOZB3BaI3QixmxTXpvMjM+m8oGUfaNUfk28XfDoOB+9QnE4n4eHhrghMbofodMhy8aiGJEmcOnUKHx+f886f7z7Z8aupcOJvyhwRyY5XRi6KQrBe9YHy1tC7hUjcJhAIasRlPVrwxZYzWB0yJ1NziQ7xrl4FLXrADV8p966jf8GdqyFqOPz5KJxcC+8PhSv/D9qPqZsLEAgEgkoQhsVFRI7Zxif/nmbJxtNlGhRDowO5+5J2XNI+qHpvymqKw67MjTi5Fk79o7xlO9+Q8A6HNoOxtujP7ixvNh89x6bft7B160f4+/uzf/9+AFQqFdHR0eTk5NCrVy/69u1Lnz596N27N507d0anc3ff8jGolVGQhF2KDgm7ID8dnjxT7C5g8AVkxVgI664sod2Uz4C27nkdQrvUYUMJBILmQK8IP8L9DCRmmdl6KqP6hgVA25Ew5UMlq33LPsXLsluVkNpfXwP974KxC0BnrPVrEAgEgooQhsVFgN3h5JvtcbwVc8zl8tQ5zJv4rAJyzHbGdw3lgVHR1YhCcgGYkiB2HZyIgVMbSmep9mkFUZdA5FCIHMa7X/7G8v/7mW3bvqOgoMBNNCUlhby8PIxGpXP86aefCAoKUuZBlMe2D2H3l3DuUNnzITJPK/MeAMY8BxNeLp5LIRAIBHWIXqNmat8I3llznB2xGdw8qIYRnbpd477tHwX3/AN/z4NtH8COT5QXOle8C5HDLlhvgUAgqCrCsGjibDyexoI/DroS10UFefLYuE5M7BbG2iMptPAz0DW8DrNgO52QuBvV4T8ZeeQHtLvj3Pcb/KDtSCythrIlzYsNu4/z9JXPoCocNdjx33+sX78eUCI0DRkyhKFDhzJo0CD69evnMiqA4gnZdoviRhW3BeK2KUP/xsJYS3mpSrQUUJLDteoH4b2VN3oterlnjvZrXfvtIRAIBBUwKCqAd4BtpzKqP8+iLNKOw1dTlBGKia9Ah/HwywNK9Lyll0GfW5V9Hn61ob5AIBBUiDAsmiipORYW/HGI3/cmAiChzBR4eEwHLuuhTMoe06WOMio7bMpEwcO/w+E/IDcZNaA4FklILfsiR4/hoCOK1XvjWf3p32zY8LBrROLKq66iZ08ln8Mdd9zBsGHDGD58OJ06dSq7k7Xmw9ltytyMuC3KJG9HcTI64rdDx4nKevdrFVemlv3cs1ELBAJBI6BzCx/UKkg2mYnLyKdN4AW6K+36ArLi4KcZoPeB6Evhga3K6MV/n8Kuz5X5GGPnQ48bROQogUBQpwjDookhyzLL/jvLi38exmQunkcho8RJD/IqIxNzbeCwQ+y/cPBnxaAoyCjep/PC2XY0e/LD6H7No/was5GHpz9MQkKCWxWhoaGMGTMGjab4azdy5EhGjhzpfi6bWQnhqvdStg/8CL896C5jDFayS0cMgpAS8x+Cy4jSJBAIBI0Eu1PG4VTW1x1N4bYhURdW4Zh5kH1WuTd/fzPc/BO0GQKT31JetPw2C9KPwy/3wX+fwaRXlVFcgUAgqAOEYdGESMkx89RP+1l7JAUoHqXw0KqZOTqau4ZHodfUYoQnWVYmPe9fBgeWQ15K8T7PQOh0GYn+Q/htXzp92g4gKSmJ7p6BBAQEkJCQgIeHByNGjGDcuHGMHTuWrl27lj0i4XTCuf1wch2cWq+MSoxdAAPvUfa3GarMzYgcpszNaD1EmSchojMJBIImRrC3Hl8PLdkFNv7Ym3ThhoVKDVd/pCQTPfE3fH0d3PIrtOqrGBj3bYat78E/ryqjux+NVAyO0c+IrN0CgaDWEYZFE2H1wWSeWr6fjDwrkqQ888vAyI7BvHh1d1r6edTeyUxJsO872PMNpB0rLvcIgC5XcNpnED9tO8vyl39hy5bFAMycOZMxY5QQh8OGDeOvv/5ixIgReHiUo5etQHGjOvG3MsmwpNECyhyKIgLawiMHhCEhEAguCnq39mP90VT2xmdhtTvRaS7QPUmjg+u+hG+uU0aWv7oabv0dWvRU9g17GHpcp7hH7fse9v8Ah35VokcNfRi868htViAQNDuEYdHIsTmcvPzXEZZsPA0o/rkzhkfx0orDzL2sM1f1alk7oWOdDjgeAzs/g+OrQS4cq9d4QKdJmDtezf+tPMz3z//Ijh3vuB06ePBgunUrziet0+mYMGGCe/2yDAWZxZOnHTb45d7irNVaozIi0W4UtB3l7s4kDAqBQHARMbFbGOuPpmJzyPwXm8GQ6FpIaqfzhBu/UyZyn90Gf8+H6cuL9/uEw5SPYND9EPMMnN6gjGT89xn0vxOGPgReIReuh0AgaNYIw6IRk2IyM/Ob3WyPVeYzzBgexWPjO6LXqJnUvUXtJLbLS1OMif+Wgim+uLz1YBzdb0DdfQoYfNA5nSyadD/x8fGoVCpGjhzJNddcw1VXXUV4eDg2m40VK1a41+2wK25NR/6Eo38q8yJmrFX2GXyg983KZMP2YyFiIGjqaH6IQCAQNCKGtS8Ocb3yQHLtGBagzEu76QdY/bTiTloW4b3glt+UkeL1C5X8QlsWw/aPofdNMORBZZRYIBAIaoAwLBop++OzufPzHaTkWJAk0Kgkru8f4ZpDccFGRfJ+2Po+7P+xOMKSRwDOHjfyj6Uzny2PYfNLL3DkyM1oUBLUPfPMM9jtdq655pri0K/n47BC7Ho49AscWeE+yTs3FczZhYnpgMvfvrBrEAgEgiZISz8Pgr31pOZYWHUwmQVXdav8oKpi8FXyV5QkP8M91LYkKdGj2o2GE2vgn5cVA+O/T2HnUug0GQbeq8zRECPGAoGgGgjDohGy7kgKD3yzi3yrwzWfIthLj8XuvLCKZRlOrYNN7yifRYT3IbX9NJZuS+XDBz/l5MmTxbqsW8fYsWMBuPvuuys9hfr3B+HgT8UFHv7QcRJ0ukzJGCsywQoEAgEjOwTzw854zuVYiE3LIzKoju6N2z6E9S8rblHnR4OSJGg/RjEyzmyGjW8pyU0P/6Ysod1hwF1KQj59DbKECwSCZocwLBoZ32yL4+lf9uOUlW1ZhkFtA/i/aX0IrGkoWVmGYyvhn1eKJ0VLKuhyFcdCJ/PCJ7/y/YMzsVqtAHh7e3PjjTdy++23M3DgwPLrjP9PmQg4+AHwbgWAM3osqth/ocsV0PkKJaKTWnzNBAKBoCT3j4rm2Lkc9sZns/ZICncMu8DoUGXhsMG+ZcrI8edXwE0/Qusy7umSpETcixwK5w7B9g9h7/dKtL7fH4JVc6H7VOg9HVr2FaMYAoGgXMQTXyPik39P8cKfh93Kbhnchmcmd0GrrkHUkCKDYt2LxdmoNR7Q5xYYfD/4R5K9YwdffvklAP369eOee+7hhhtuwMvLq+w6s87C3m9h73eQUTiy4R0Ggx9STtn5Suh5nRICUSAQCARlEhVkZHKPcPbGZ7PuaB0ZFmotTP8Zvrke4jbDl1fDjd9C2xHlHxPaRXFTvfQ52P2VkmAv/YTiIrVzKQS2h543KIaGf2Tt6ywQCJo0wrBoJHy04SQvrTjiVvbUxE7cc0nbmkV9it0IaxYo0UEAtEbMvW7ns+O+ZO6x879JkQD079+fefPmMWnSJPr37192XXYrHPkddn2p5JmgcDhF6wmdL1eiORWh1gqjQiAQCKrAqE4hvLjiMNtOZZBnsWPU10GXbPBRkuZ9N01xgf36Wrj2M8U9tSI8A2DoLGUy95lNSobvQ78pyfbWPq8sLfsqblKdrwC/iNrXXSAQNDkuMHi2oDb48J9io+LBUdFM7BbGm9f15N4R7apvVKSdgG9ugKWXKUaFxoP8vg+wSDuTtjM+4/5HnuT5558nNTXVdchzzz1XvlEBYC+AX2cWzsuQIXI4XPUBPHZcCV/YelANrlogEAiqR2ZmJtOnT8fX1xdfX1+mT59OVlZWufI2m40nn3yS7t27YzQaCQ8P55ZbbiExMbH+lK4AU4EVT50aq8PJv8dTKz+gphSFou00WQnW8f3NymhEVZAk5eXRlI/g8eNw5XsQdYniTpuwE1b9DxZ1gw9HwIbXIPmAMlouEAiaJWLEooH5fkccC/9SjIpHxnTgoTHtkWW5+gaFOVuZoLf9IyU3hKTG0uNmPjgWzEt3LSYlRUlAFxERweOPP47RWM5EQadTmbx3aj1MWKiUGXxh0H1KR9LrJgiogyF7gUAgqIRp06YRHx/PypUrASWgxPTp0/n999/LlM/Pz2fXrl0888wz9OzZk8zMTB5++GGuuOIK/vvvv/pUvUyyCmzkWx0A/L43iQndWtTdybQGuPZzZc7Enq+USFHVRe+thKTtfRPknFOS7B38WQkrnrRHWda+AD6tlDDi0ZcqRkhRJECBQHDRIwyLBmT90RTmLFfmPnRp4c2Do6MBqmdUyDIc+El5a5R7TilrP57NflO48f4niYuLAyAyMpK5c+dyyy23oNPpStdjyVUybW97HzJOKWXdpypD3QCXPlujaxQIBILa4PDhw6xcuZKtW7e6gkp8/PHHDB48mKNHj9KxY8dSx/j6+hITE+NW9u677zJgwADi4uJo3bp1meeyWCxYLBbXtslkApQREJvNViV9i+Qqku/V0geVBE4ZVh9KJiMnH2+Dtkr115hJbyF1vAw5eixU8VrKxBAAfW5XlrxUpGMrUR37Cyn2XyRTvJIfaednyJIaObwPcuQlyJFDkVv2B60HULU2Eoh2qgqijSrnQtqoOscIw6KBOJCQzQNf73JFfzp2LpeDiSa6t6rGm53MM/DHw0qiI4DAaJj4CkSPITIxkZSUFFq2bMmzzz7L7bffjlZbRoeVm6oYEzs+UUY9QHm71Hs6eJWTq0IgEAjqmS1btuDr6+sWqW7QoEH4+vqyefPmMg2LssjOzkaSJPz8/MqVWbhwIfPnzy9Vvnr1ajw9Paul9/mGzfm0NqqJzZWwOWRe++5vBoXUkxvRMSWhqcaRT4fk3znS4mqcqjJeOlWZQPC+GVXX6wjKOUyoaS/BOQfxtiQhJeyAhB2w6Q0ckoYszyjSvTqSYeyA1tiu0jYSKIh2qhzRRpVTkzbKz8+vsqwwLBqA1BwLdyzdQV7hEDjAa9f2qLpRIcvK26DVz4A1F9R6YtvfwfKzAcyOHgNAeHg4q1aton///nh4eJRdT8Iu+Gwi2M3KdkBbGHQ/9LxRyeAqEAgEjYTk5GRCQkJKlYeEhJCcnFylOsxmM0899RTTpk3Dx8enXLk5c+Ywe/Zs17bJZCIiIoJx48ZVeFxJbDYbMTExjB07tuyXOoWc8jjJ22uVCHuxcjALJvWrUv21hfq7G1Cl/E07bQqOa78EY21kAb/KtWbLPot0+h9UZzYixW5EnZtMYN5xAvOOu2Sc/u2gVV/kFr2Rw3sjh3R1jWoIqv5das6INqqcC2mjolHbqiAMi3rG4ZR55Ps9pOQUD7M/MqYDV/duVbUKTEnwy32uBHe28IG8mdCL+Xe8Q0FBAf0GDuKSSy4BcH26YbeApjAfRlgPZVTCGATDHoGOl4FKzOcXCAT1x7x588ocHSjJjh07gLLdRKs6J81ms3HDDTfgdDp57733KpTV6/Xo9aXzBmm12mp3yJUdM75buMuw2HIqg/R8B2G+hmqd44IY/ggk7ECVsAPV0vEwbRmEdKq9+oPaKkv/25WXYhmnlDkZZ7Ygx21ByjiJKvMkZJ6E/cuUYyQ1BHeEFj0hrDuEdoXQbrVk9DRdavL9a26INqqcmt7HqkqTMSxefPFF/vzzT/bs2YNOp6swEkhjZvHaE2w8kebavqZPK2ZdGl21g4+thl/uhfx00Hiwo8Wt3LFoBQcOKMNaI0eOLPONHgA5yfDPq4pBcv820OiUxHV3xoBXiEh4JBAIGoSZM2dyww03VCgTGRnJvn37OHfuXKl9qamphIZW7LZps9m47rrrOH36NGvXrq3yqEN90LmFNy39PEjIKgDgt70J3H1Ju/pTIHIY3Pk3fHMtZMbCknFw3VJoN7r2zyVJENhOWXrfjN1mI+a37xnXJQDNuX3KKHriLshLhZRDyrL32+LjjcEQ3AlCOiuGR1BHCOog+jCBoBHRZAwLq9XKtddey+DBg1myZElDq1MjNp9I462/j7m2+0f6s3BK98rftjls8Pc82LIYAEtgVxac6snLz72O0+kkKCiIN954g+nTp5euy5wNGxfB1veVsLGgRH0qimHuLeZRCASChiMoKIigoMrfRA8ePJjs7Gy2b9/OgAEDANi2bRvZ2dkMGTKk3OOKjIrjx4+zbt06AgMDa0332kCSJMZ2CSXm0DkSsgr4eXdi/RoWAMEd4K61Sq6Ls1vhq6kw/iUYeE+dP7DbNN7KRPLOk5QCWQZTIiTvg6S9cO4AnDsIGacVgyMvFWL/da9E71NosEQrLr3+UUr0Qv9IZVReGB0CQb3RZAyLoqHypUuXVvmY2ojsUSRf8rMmmApsPPz9HgCGtA0gMdvMG1O7I8kObDZH+Qfmp6NefgeqM5sAsPe9i7GvbuPfjR8AcMMNN/DWW28RGBiI3W4vPs5pR7X7C1QbXkHKT1eKWvbDOepp5DbDLiwaSBmIiAyVI9qockQbVU59RfZobHTu3JkJEyYwY8YMPvzwQ0AJNzt58mS3idudOnVi4cKFXH311djtdqZOncquXbv4448/cDgcrvkYAQEBZUfIawCemdyFh8e0p/+Lf3M4ycSRZBOdwup5VMUYCLf+poSj3fstbPk/6DVNSbBXn0gS+LZUlo4Ti8stuZB6FFKPQOphSD0GaUeVICYWEyTuVpbz0RjAr7Wy+EYoifx8Win1+7QEn/Bi92CBQHDBNBnDoibUZmQPuLBoA9+fUpGSoyLEIHN1UArqENi9aS1l3AZd+OTHMeD0IozWNOwqA7va3E2Ssx9DhmrZt/8A9957L4MHD2bbtm1ux2ntOQw7/hI+5gQAcvQtOBR+Hcm+feCgCQ6uqPF1VIaIyFA5oo0qR7RR5dR1ZI/GyNdff82sWbMYN24cAFdccQWLFy92kzl69CjZ2UqEu/j4eH777TcAevXq5Sa3bt06Ro4cWec6VwW1SsLPU8elnUJZeTCZr7fG8fxV3epfEY0ernpfmX8XNbz+jYqK0HtBq77KUhKbGTJPQ/oJSD+pzOHIPA0ZsWCKV4KTpB1TlvLwDATvcPAOK168QksswYobls5LjH4IBJVwURsWtRHZAy482sB/ZzLZvEWZfPjmtP4MjAqo9Bjp5BrUPy1EsuWR49mag93n0nfMNfQGJk2axJNPPomXVzmRm2QZ9XfLkZPycQ5/EkOfW+mjrtvJTCIiQ+WINqoc0UaVU1+RPRojAQEBfPVVxRmj5RJZnyMjI922GztT+7Zk5cFkftoVz2PjO+Lr0QC/AUmCwfe7l+1bprzdjxxa//pUhtagzLkI6Vx6n8MG2fGQdQayzkL2WeXTFA/ZCWBKUAyP/HRlObe/4nNpDOAZpIzuGIMVg8QzEDwDwMMfPAKK1w1+4OGnuGkJY0TQjGhQw6Kq0UD69atZ+L3ajOxR0+MsdgfP/HYYAJ1Ghdlehdn1e7+DXx8Ap51Txn5cuTSJ5JQH2bNnOC1btgTA39+/WN7phD1fQ+fJyg0N4KrFoPVA7eGPuloaXxgiIkPliDaqHNFGlVPXkT0E9cumE2nc9/UudGoV+VYHP/x3lruGt21otZR5Dr8+AE4HjF0Agx9oOg/Kaq0y1yIgquz9sgwFmcqcjpwkJchJTrKynnsOclOUz7w0sOUpRogpXlmqiqRSckMZfBVjw+CrjATpfZVM5gYf5VPvrYyIuD69lE+dF6h0IDtrpUkEgrqmQQ2LqkYDacp8+M8pTqTkAmCzOwn2rsSXc/O7sPppANYyjGtf3kpGRgZhYWGuhHduZJyC32Ypk9nitsJV/6eU+4TX9qUIBAKBoI7oGu6DUwaHU3mA/HxLLLcPjUKtauCH+MBo6HIl7P8BVs9VQsVe+X/K2/imjiQpIwyeARBWieuZNa9w8ni68pmfBvkZhaMdaVCQpWwXZCjrBRngsCoGQUGmstQQLXAlIB80gs4TtJ6gMyq5PrRF24WfGkNheeGi8VBc3LQeyj6NQdl2W9eDWle4rQN1YZmqPl9LCi4WGtSwqGo0kKZKisnM/60rTgJ0y+A29IzwK/+Af9+ENcoIzhe5l3DHor9wOBz079+fn3/+2d2okGX4bwmselqJ9qT1VOJ9y3LTeZskEAgEAgD8PHUMiAxgy6l0DBoVZzMKWHskhbFdGjhyn84IUz6GiIGwcg4c+UOJ1HTt5xDeq2F1q090RmXxj6yavCyDrUCJzGjOKvw0FW9bcpRJ52aTkujWkuO+WPMKl1xAceeTbHnKyEl9IamLjQ7Xoi1jXQsqTfnrKk2J8qIyrWK4uO0vsV20SKrC9cJ9krpwXV28LqmRnE5882OVCGI6vXKcpFZyc0nqwnrU562ripfztyWVeJaqIU1mjkVcXBwZGRnExcXhcDjYs2cPANHR0eXPNWhg3lt/EotduSGE+uh5dHzH8oU3vwtr5iPLMq+nDOeJD/4AYNq0aXzyySfu2bNzU+G3mXBspbIddQlc/k75w70CgUAguGDy8vJQq0u/xVWr1RgMBjc5m82G2WwmLy/PzQVNpVK53c/z8oofFMd28GPTkQQMWi35VhufrD/sZljk5+eXO2dEkiS3oCTVkS0oKMDpLN/Vxmg0woAZ0LIPBV/dgvPcaXjvUhgzD/rfUVq2ELPZjMNRftTDklG5KpP19PR0hVO3WCzuURAvQNbDwwNVYWJYq9VaYeS06sgaDAbUOmUkwWoIrFy28Htls9mwWq3FO2UZW4GJdatWMGpoP7y0oJFtYMvDlmfCmm9SXi7aSiz2ArCZ0UtWNE4r2M3YzXlYzAVKkly7ufDTCg4zOCzoZBta2QLI2J0yFjuAHWXF3ZjRqUGrVtrX4ZQxl9+8aNWgq4GsU5YpqCCI3fmyFhv0B6z7wXqerEYFeo1U2Jwy+RXU6y4L+fYyjI3CT7VKhUFXbJDk2QBUgFTCMJEUWbUKg07jKsuzyiX2u8uqVBIeOo2rPM/idNsPuPRQSSo89BpXWb7FoZihbvLKIgMDTZlIR2ToflW17xFVRm4i3HrrrTKK2e62rFu3rsp1ZGdny4CcnZ1drXNbrVb5l19+ka1Wa5WPScjMl6Pn/Cm3efIPuc2Tf8h/7kssX3jL+7L8nI8sP+cjL3n8Gte1PfbYY7LD4XCXPfufLL8arcgvCJLlzf8ny+fLNAA1aaPmhmijyhFtVDkX0kY1vQc2d4rarbxl0qRJbvKenp7lyo4YMcJNNigoqFxZXVh7+VBi8f+qTZs25cp26dLFrd4uXbqUK9umTRs32X79+pUrGxQU5CY7YvjQcmU9PT3dZCdNmlRhu5X8Lk+dOrVC2dzcXFe95T0PFC0pKSku2fvvv79C2dOnT7tkH3vssQplDxw44JJ97rnnKpTdvn27S/bVV1+tULbkc8zixYsrlP3jjz9csp999lmFssuWLXPJLlu2rELZzz77TJadTlm2W+U/fv6hQtnF8x6W5eN/y/KRFfK6z16oUPbVeyfJ8toXZTlmnrz9ndsrlH3umm6y/M0NsvzVtfKBl0ZXKPvYpWGy/E5fWX67l3z6mY4Vyt4/0FOWFwTL8vwAOeUx7wplb+2pdT2P5c6pWHZqF41LVn7Op0LZSe3dZT215cuOaKN2kw3ylMqV7ReucpNt41u+bJdgRdb+76Jq3yN69+4tQ9X6jiYzYrF06dJq5bBoaBavO4HNKQPQL9Kfid3Cyhbc/yOsfFJZv+Rxrh/4CJ9sTGTKlCk89thjpeX9IhQrNrgzXPNJ5X6hAoFAIGiyvP33cT6Y3rdywfpC1WQeGwTVRZIUlyStR8VyQdEQfamynlSJbNuRMOpxZd13B/BZ+bLdroEb5ynrBw/C/yp4vul9Mzz4mrIeGwvPV+Cx0fc2eKZw/mlqKrweUrEOT/wfyE7IMcHCCpJVthsD978FyIr8/Ar0bTUAbn+9UFaGV8cooZLLIrQrTHtNqRMZ3rkB8suJ6OcfBVNfUeoE+Ph+yE4tW9YrjN2tb6Bb1Kg6DeojyXITisV3gZhMJnx9fcnOzq52uNkVK1YwadKkKkVVOZuRz8jX1uGQld/p13cNZEi7MuaSxG2Fz68AhwUG3gcTFoIkYbPZ3M/jsCk/9iJSjoB/m8p//PVIdduoOSLaqHJEG1XOhbRRTe+BzZ2idktMTCyz3cpzhVq1ahXjx4+vsisUwIr9STy6bC8tfPUkmayotHr+eHAY3Vr6NqwrVEWy1nz4bCJEXYJx8ktKCFiq5gpV9F12OBwXnytUoXtTdWRLuUIVlhV9l7y8vNBoNOXKlkSv17tk7Xa7W8Lg89HpdK7vaXVkHQ4HZnM5D8gokeiKXN6qI+t0Oit0vzlf1mQylfl7A9BoNK4IobIsV5jPpzqyZf3ua0O2sntERbIV/e7tdjvr16939R3VuUecO3eOsLCwKvUd4tVDHfDu2uM4ZBgWHcTL13SnlX8ZyfjST8K3N4LDwtw9rfDUGJk7UbkRuv0oMs/AtzfAJY8pljRASKd6uAqBQCAQlMRoNLo9ZFckZ7PZMBgMGI3GCg3A8+ub3CeKbJuKyT3CWfjXYX7dk8hbMcdYclv/aiV2rY6s2xy+msjGrgbTcdh7HBI3wdUfQHhvtwepsij5sF2ZbEnKCyV/obI6na7K2djrSrasMNIlv0tFhkJ5suWh0Wjcjq0tWbVaXaXfRHVlVSpVtWWr8nuTJKnK9VZHFkr/lhtCtqLf/fnGbV3dI1RVlhRUiYw8K7/sTgTgkbEdyjYqLDnwzfVQkMHioyG89Oshnn7mWXbs2OEud3Y7fDwaUg7BmgXKRCuBQCAQXLR46NTcNbwtYb4GHrq0PSoJ1hxJYXdcZkOrVj5dr4ZpPyhZqlOPwCdjYP3Lymi7QCBoVgjDopZZviseq8NJ+xAjfdv4lxaQZfjjEUg/zp/xPjy07BQAL774Iv379y+WO/oXLJ2sxMcO6w63rVDiSwsEAoGgWdA22Iure7cC4M2YYw2sTSV0GAf3b1WMDKcd1i9UXowlV5LNWiAQXFQIw6IWkWWZr7fFAXAiJY/TaWX4xe3+Cvb/wJ5kmeu/TcfpdHLnnXcyZ86cYpl9P8B3NylzLzpMgNtXgm/L0nUJBAKB4KJkxf4kpi/ZxsCoADQqiX+Pp7HpRFpDq1UxngFw7VK4Zgl4+EPyPlj7QkNrJRAI6hFhWNQiO89kuoyJTmHeRAWd5xeXchhWPE5qnpPJy1Xk5Rdw6aWX8v7777smmrFjCSyfAbIDelwP138F+saZp0MgEAgEdcPOM5n8ezyN1YfOcdPA1gA899tBrPbyJ1k3GrpPhfu3KX3YpNeLy5tPrBiBoNkiDIta5JvC0QqAaYUdgQu7FX68A6ctn1tXG0lIzaZjx478+OOPxRONZFkxPpCh/wy46gP3aFACgUAgaBbcOEDpQ9YeOcdNA9sQaNRxIiWXpZtPN7BmVcQ7FKZ8pIRIL+L3WfDXk8o8Q4FAcFEiDItaIrvAxh/7lEnbOo2KK3qd57q0+W1IOYTkGcT4m2bi4+PDsmXL8PPzK5aRJJj0GkxbpnyqxL9HIBAImiPRIV4MjArAKcOKA0k8OUGJBvj238c5Zyo/ZGejJeUI7PoCtn0AiwfAod/ECIZAcBEinlxrid/2JGB1KDfJyd1b4OtRYqQh/SRsUIaDpYkv89ATT3PmzBl69Oih7I/bVhzxSZKgw/jitO0CgUAgaJYUjXx/v+MsV/UKp1eEH3lWBy/+ebiBNasBIZ3g5uXgHwk5ibBsOuplN+FpKSeZl0AgaJIIw6KW+H7HWdf6DQNKuEHJMvz5KAUFBVgihkP3awGKRyrObIHPJ8P3N5efhVEgEAgEzY4J3cLw99SSlG1mw/E0nr+yG5IEv+1NZN2RlIZWr/pEX6pEjhr+GKi0qE6sZvThp1BtfEP0fwLBRYIwLGqBtFwLBxKVdOttAj3pH1kizOz+H+HUOp77x07Plw+zafPm4n0Zp+H7m8BhVeZSiPkUAoFAIChEr1Ezta8Sbvab7XF0b+XL7UOiAHjip31k5DXB3EZaD7j0Gbh3I842Q1HLNlT/LVGiIAoEgiaPMCxqgX+PK0O5ncK8+fS2/sURnqz5sHou+845eHOLhaMnTpGZWZjkyGxSMmrnp0OLnsokN5W6ga5AIBAIBI2RGwe0ZkBkAFf2CgfgiQkdiQ7xIjXHwtO/7EduqvMUQjrhuOkX/mtzH44Jr4LBVymXZcg807C6CQSCGiMMi1pgwzEltvioTiG0Cy4RGva/T3HmJHPPX04cTifXXHMNkydPBqcTfrpTyVDqFQY3fge6qqdsFwgEAkHzoG2wF8vuHcyVhQFBDFo1b13XC41KYsX+ZH7Zk9DAGl4AkkRCwGDkTpOLy/b/CO/2hVVzoSCrwVQTCAQ1QxgWF4jTKfPPUcXX9ZL2wcU7rHmw8S0+2mlj65kCvL29efvtt5V9m9+B46tBY4AbvwWf8AbQXCAQCARNke6tfHno0vYAPPvLQWLLSsbaVIndAE4bbFkM7/SG7R+Dw9bQWgkEgioiDIsL5FCSiYx8GxLKXAsX2z8mOyOV/61TbogvvvgiLVu2hPwMV4QoJr4KLfvUv9ICgUAgaFJkF9h4f/1Jvt+h5Eu6b2Q7+rXxJ8di554vd5JnsTewhrXEFe/CTT9BcCcoyIAVj8F7g+HInyI8rUDQBBCGxQWyvnC0Qgb8PAsnX1tyYNPbvL3NSma+g86dO3P//fcr+zwD4M5VMPRh6HNLg+gsEAgEgqbFqoPJvLLyCIv+Po7N4USjVvF/N/Uh2FvP0XM5PPHTvqY73+J82o+BezcpWbs9AyH9OHw3TUmuJxAIGjXCsLhAVh5MBkCrlugfGaAUbvsQCjLYkaoHYN68eajVJSZmh3aFsfNFrgqBQCAQVIkre4UT7K0nKdvMn/uSAAj1MfDeTX3QqCT+3JfERxtONbCWtYhaAwNmwKw9MPxRxXW4yxXF+y8WI0oguMgQhsUFkGO2cagwzGyf1v4YtGol0d3W9wH47euPWL9+PVOnToW4rZC0tyHVFQgEAkETRa9Rc9uQSAA+2nDKNTrRPzKAZy/vAsDLK4+w8kBSQ6lYNxh84NJn4ZGDEDmsuHz9QvjlAciKazjdBAJBKYRhcQFsPpmOs/ClyfiuYcrK0T8hPw28WyB1u4YRI0agcljg53vgo5Fw+I8G01cgEAgETZebBrbGQ6vmUJKJ9ceKM1ZPH9SGGwe0RpZh1nd72HYqvQG1rCOMQcXr5mzYvBj2fAXv9IEVj0NOcsPpJhAIXAjD4gJYc/ica/2SDoURoXZ9QcxJOxntpihDuQD/vgGZsUpo2bYj6l9RgUAguAjIzMxk+vTp+Pr64uvry/Tp08nKyqry8ffccw+SJLFo0aI607Eu8fPUcfOg1gAs+vu4a9RCkiSev7IrY7uEYrU7ueuL/ziSbGpIVesWgy/c8itEjVAiSG3/CN7uCSv/B7mplR8vEAjqDGFYXACbTypvhQKNOtoFGyHzDPlH1nLtD/lE3bKYY8eOQdpx2LhIOWDiy6D3bjiFBQKBoAkzbdo09uzZw8qVK1m5ciV79uxh+vTpVTr2l19+Ydu2bYSHN+3w3ndf0g6DVsXes1luoxYatYp3b+xN/0h/csx2blmynRMpuQ2oaR0T0R9u/Q1u+Q0iBoLdDFv/DxZ1h0O/NrR2AkGzRdPQCjRV7A4nydlmQJlUJ0kS7P6SHw9ZybZAVHgQ0dHR8NXVyhuV6LHQ+YpKahUIBAJBWRw+fJiVK1eydetWBg4cCMDHH3/M4MGDOXr0KB07diz32ISEBGbOnMmqVau47LLLKj2XxWLBYikOH24yKW//bTYbNlvVcioUyVVVvqr4GVRMH9iaZJOZVr46t/rVwPvTenHTkh0cPZfLDR9t4Yvb+tE+1Kv8ChuQWmmjiCEw/Q+kU+tQbXgZKXk/9pDuUFSnLDf5QCl19V26mBBtVDkX0kbVOUYYFjXkTEY+dqeMh1bN05d1AYcddn/Nx7uUxr/rrrtQndkIp9aDWgeTXmvyNzeBQCBoKLZs2YKvr6/LqAAYNGgQvr6+bN68uVzDwul0Mn36dB5//HG6du1apXMtXLiQ+fPnlypfvXo1np6e1dI7JiamWvJVoasM3YxwaFs8h8rYf0sEvJejJiHXynUfbOL+Lg5aGmtdjVqj1too5CG8fRLI2bQf2A9A39P/h03jxfHQyyjQBVV8fCOnLr5LFxuijSqnJm2Un59fZVlhWNSQ4+eUIeboEC9UKgmO/s2R02fZGOdApVJx2623wuoZinCfWyAgqgG1FQgEgqZNcnIyISEhpcpDQkJITi5/4u4rr7yCRqNh1qxZVT7XnDlzmD17tmvbZDIRERHBuHHj8PHxqVIdNpuNmJgYxo4di1arrfK5a4txY23c9vl/HEzM4cPjBt6b1osBRSHRGwl13kbpJ9Du3gZAZMY/yF2vwTF4FgSXP7rVGGno71JTQLRR5VxIGxWN2laFGhkWZ8+eJTY2lvz8fIKDg+natSt6vb4mVTVZDiRkARAZWPj2aveXfFI4WnHZZZcR3qIFdLpMCYU3bHY5tQgEAkHTpLb6gXnz5pU5OlCSHTt2AMok5fORZbnMcoCdO3fy9ttvs2vXrnJlykKv15d5LVqtttodck2OqSpnM/J5bdVRJnYLY2L3Fm77gn21fHPXYG5bup3dcVncvnQXr1/Xkyt6Nr45JnXWRqGd4LY/YcNrSKfWI+3/HtX+76HjZTD0IWg9sPI6GhF1+V26WBBtVDk1vY9VlSobFmfOnOGDDz7g22+/5ezZs24ZPnU6HcOHD+fuu+/mmmuuQaW6+OeE74jNBGDr6QywFWA58jef71UMixkzZoBKBYMfgIH3gkpdUVUCgUDQJKiLfmDmzJnccMMNFcpERkayb98+zp07V2pfamoqoaGhZR7377//kpKSQuvWrV1lDoeDRx99lEWLFhEbG1slHRsrP+6M57e9ieyNz+LSzqHoNO5t7uup5Zu7BvHw97tZdfAcs77dzdmMfO4f2a5ahlaTRZKU3BeRwyBhJ2x8Swn5fvRPZbl2KXS9uqG1FAguKqp053/ooYfo3r07x48fZ8GCBRw8eJDs7GysVivJycmsWLGCYcOG8cwzz9CjRw/X26WLmdNpeQBEBRrhzGa2n8kl0ywTHh7OxIkTiwWFUSEQCC4C6qofCAoKolOnThUuBoOBwYMHk52dzfbt213Hbtu2jezsbIYMGVJm3dOnT2ffvn3s2bPHtYSHh/P444+zatWqWmmXhuTuS9oS5KXnTHo+X287U6aMh07Nezf15Y6hijvua6uOct9Xu8gxN7NJri37wvVfwQPbFfdkn5bQYULx/tRjYCtoOP0EgouEKo1Y6HQ6Tp48SXBwcKl9ISEhjB49mtGjR/Pcc8+xYsUKzpw5Q//+/Wtd2caCwymTlqtEDOnW0gdO/sHwNhriPrmV421vR/PXY0q+is5XKiMXAoFA0MRp6H6gc+fOTJgwgRkzZvDhhx8CcPfddzN58mS3idudOnVi4cKFXH311QQGBhIYGOhWj1arJSwsrMIoUk0Fo17D7LEd+N/P+3l7zXGm9GmFr0dplwW1SuLZy7vQNtjI/N8PsvJgMsdTcvjg5r60D21mIdCDO8AV74LdAppCdzenE76/CfLTod8d0P8u8A5rWD0FgiZKlZ56X3vttTI7k7KYNGkSU6dOvSClGjvxmfmujNv92gTAiTUAhPe/ghFdwmDnZ/DjnZArMoEKBIKLg8bQD3z99dd0796dcePGMW7cOHr06MGXX37pJnP06FGys7Nr/dyNlev6taJ9iBdZ+TbeW3eiQtmbB7Vh2T2DCfMxcDI1j8sXb+TLrWfcXNqaDZoSc2hM8WAzK4bFhtfgrW6w/G5I2NVw+gkETRQRFaoGHE3Oca13MZog9TBIKmg7UsmyDdBhPPg0vklyAoFA0FQJCAjgq6++qlCmsofkpj6v4nw0ahVzJnXijqX/8dmmWG4c0JrIoPJjy/Zu7c8fs4bxyPd7+Pd4Gs/8coB1R1J45ZoeBHs3ryAsLvxaw6zdyryLLe/B2a2w73tlaTUAxs6HNmW72wkEAneq7aeTnp7OAw88QJcuXQgKCiIgIMBtaQ7sissClHlhrTK38vhqM2O+l4jZsBX2fqsI9bml4RQUCASCOkT0A42LUR1DGN4+CKvDyeJKRi0Agrz0fH77AJ6d3AWdRsXaIymMfesffvjvbPMcvQBQa6DLlXDnKpixFnpcDyotxG8Hp71Yrrm2j0BQRao9YnHzzTdz8uRJ7rzzTkJDQ+slskRsbCzPP/88a9euJTk5mfDwcG6++Wbmzp2LTqer8/Ofz774LAACPHVoTq3l16N2jmdkMvPYv8pQqleYkmlbIBAILkIaoh8QlI8kScy/ois/7oxn5ujoKh2jUkncMSyKodFBzF62h4OJJh7/cR/LdyXw4tXdaBvcOLN11wst+8KUj2Ds83BwOUQOL94X8yxkxirzMKIuEYlvBYLzqLZhsXHjRjZu3EjPnj3rQp8yOXLkCE6nkw8//JDo6GgOHDjAjBkzyMvL4/XXX683PYrIyLMCMKlrEKe2xnA8w4lGo2a0x0FFoNc05e2HQCAQXIQ0RD8gqJi2wV48MaFTtY/rGObNrw8MZcnG07z19zG2nEpn/KIN3D40ipmjo/ExNOOcAN6hMOi+4m27BXZ9DuZsOPwbBEZD39uVPt9TjNQJBFADw6JTp04UFNRvSLYJEyYwYUJxWLi2bdty9OhR3n///QoNC4vFgsVicW0XZQ602WzYbFUPtVcka7PZcDplzqQroWbvispgxRIln8Xg/n3wTtigyHW/AapR/8VAyTYSlI1oo8oRbVQ5F9JGtdWuDdEPCKqO0ylzIDGbHq38qiSvUau4Z0Q7JnQL47nfDrL+aCofbTjF8l3xPDymA9f3j0CrFhEO0ejh9r9gxxJl/kX6CVg9F9YsUNyoBsyAiAENraVA0KBU27B47733eOqpp3j22Wfp1q1bqWx8Pj4+taZcRWRnZ1fqy7tw4cIyM7quXr0aT0/Pap8zJiaGdDMU2DSoJZn8rV+w6qTie9khIoR0L5BRsXnrEeBIteu/GIiJiWloFRo9oo0qR7RR5dSkjfLz82vl3I2lHxCUJsdsY/qS7RxMzOb3B4fRKazq/4s2gUaW3j6AdUdSeP7PQ5xKzePpXw7w0YZTPDK2PVf0bIla1cxdf0K7wuQ3lQnd+3+E/z6F5H2wf5kywiEMC0Ezp9qGhZ+fH9nZ2YwePdqtXJZlJEnC4XDUmnLlcfLkSd59913eeOONCuXmzJnD7NmzXdsmk4mIiAjGjRtXrY7PZrMRExPD2LFj2XgqE3bvoaWfJ1GqRNacVgyLGbOfwbdPH7CbmaQx1OzCmjAl26i6qeKbC6KNKke0UeVcSBsVjdpeKI2hHxCUjZdeQ7C3HptD5okf97H8viFoqjnaMKpTCEOjg/h2exzvrj1BXEY+j3y/l3fXnuC+Ee24qndLMYKh94Z+t0Pf2yBxF+z8HPrcWrz/5DrY8YkSyKXdpcI9WtBsqPY3/aabbkKn0/HNN99c8KS9efPmlTmiUJIdO3bQr18/13ZiYiITJkzg2muv5a677qrwWL1ej15fOnyeVqut0UOLVqtlf6ISavZsZj5bT+4l1wrBgQH0798flUoFzfxhqKZt25wQbVQ5oo0qpyZtVFttWpv9gKB2kSSJF67qxtZT6eyLz+aTjae5d0S7atej06i4dUgk1/ZrxWebYvnwn5OcSs3j8R/3sejv49w+NJLr+kc07zkYoEzebtlXWUqycykc+UNZvMKg5/XQ6yYIbvqJGQWCiqi2YXHgwAF2795dK1lLZ86cyQ033FChTGRkpGs9MTGRUaNGMXjwYD766KMLPn9N2HtWSbwU7ZGH1p7HxGgNrQZdisqcJSZv1TMOh6NJ+eLbbDY0Gg1ms1m80S0H0UaVU1EbabVa1Gp1netQm/3AxUTJe1JDfpd9dbBgcgdeX3WU77acZHR7P1oHlJ/boiJUwJ2DW3FD3zD+2JPIsp3xZOVb+WzDMb7bcpIJ3cK4vGc4bQKrX/9F/Xsf8jgEdIIjK8CcCXuXK0tIN+h8GXSdAqqq/VabcjvpdDrlpaug2VBtw6Jfv36cPXu2VjqUoKAggoKCqiSbkJDAqFGj6Nu3L5999lmDfVHPZioTFgd4pzK0tYYVD3aEYA282hYufxv63lpJDYILRZZlkpOTycrKamhVqoUsy4SFhXH27FnxhrccRBtVTmVt5OfnR1hYWJ22X232AxcDZd2TGvq73MkIL48Lw2xzkhx/FnuW/oIjow4Ihv7jw8i3Osi12LE5ZMBG3JkznEtQYdSr8dCqq3y9Dd1GdYsaWl4F4VeCvQCseUp2b2SQdXAmrlhUlisMW9uU20mlUhEVFdUgqQEEDUO1DYsHH3yQhx56iMcff5zu3buXGlrv0aNHrSlXRGJiIiNHjqR169a8/vrrpKamuvaFhYXV+vkqItesvI3qqUtSCoI6wOkNgAxh3etVl+ZKUQceEhKCp6dnk7nROp1OcnNz8fLyEm9wykG0UeWU10ayLJOfn09KSgoALVq0qDMdGqIfaMyUdU9qDN/llnYHZ9Lzccoyvl56Ar1qL7O2LMvkW+1k5dvIs9gpShvnkCS89Rq8PbV4VmJkNIY2qlccNjCblJEKDz+lzOmA9JPKnA2DD2g9SxkZTbWdnE4niYmJJCUl0bp16ybTVwsujGobFtdffz0Ad9xxh6tMkqQ6nbS3evVqTpw4wYkTJ2jVqpXbvvrOElpgcwLQ0h5Hap6TYL03WHPAMxBa9KpXXZojDofD1YEHBgY2tDrVwul0YrVaMRgMTapzqE9EG1VORW3k4eEBQEpKCiEhIXXmFtUQ/UBjpbx7UmP4LhuAlpKWtFwLgb6eGLS1+33w8IBAX7DanWTmW8nMs2J1ODHZwWSyo1U78fXQ4uuhxVNX2shoDG1UvxjA6O1elJ8BagfYsyA3C9Q68PBXFq3ye27K7RQcHExiYiJ2u13Mm2smVNuwOH36dF3oUSG33XYbt912W72ftywcTsWwiD28l2Ef5TK4/c9snga0Gw1N7AffFCnyX65JuGCBoDlQ9Nuw2Wx1Zlg0RD/QWGns9yR/Ty1+nlpUdfi2WKdREepjIMRbT57VQVaelewCGzaHk7RcC2m5FrRqFT4GDT4eWow6DarmHra2CA9/UGmgIBPMWeCwQu45ZdEYwK81aDwaWssaU+QC5XA4hGHRTKi2YdGmTZu60KPJ4FDsChLOngWghWdhQbtLG0ij5okYUhUIyqY+fhvNvR8oi8Z6T5IkiZKaWewO9Jq6MTglScJLr8FLryHcKZNjsZOdb8NkVoyM9Dwr6XlWVC45NbKzTlRpOkiS4gJl8AFnK7CYID9T+bSbFaOjCLtFcaPSNJ35Co31dyGoO6r0in3Lli1VrjAvL4+DBw/WWKHGjqdOTQAmjicr2be7+BQmnGo3uoKjBAKBoGkj+oGmzzmTmWPJuWTlW+v8XCqVhK+HltaBnnQJ9yEyyEiAUYdWrcIpy5jMNhKzzSTlw9FzucRn5CuuVPbm40ZXCpVaGcEIbAth3cA/Ssn2XYiUkwgpByH1GOSmgL3u/48CQXWpkmFxyy23MHbsWJYtW0Zubm6ZMocOHeJ///sf0dHR7Nq1q1aVbFRI0F5K4FCa8pqlS7AKQrsrGTcFAoHgIkX0A00fWQYZmfjMAsy2+nuAV0kSPgYtrfw96RTmTfsQb8J8DBj1GiTA5nCSkW/lbGY+R5JzOJJkIi49n7RcCwVWO856nkvZKFBpiid4Q+E/r3B4x5YHpoTzjAxLg6gpEJxPlVyhDh06xIcffsizzz7LTTfdRIcOHQgPD8dgMJCZmcmRI0fIy8tjypQpxMTE0K1bt7rWu8Gw2JxES2dZnarclLtcNxe6iJCLAoHg4kb0A02fUB89+VY7uRY7cRn5RAd71ftcB0mS8NCp8dCpCXI6yco2oTF4kmd1kGdxUGB1YHU4sRZYyVKiu6OSJAxaNZ46JZyth06NXqNqXm42koQc0A5JtkNBtpIbw5qnGBm2PDBnQ1D7htZSIKiaYaHVapk5cyYzZ85k165d/Pvvv8TGxlJQUEDPnj155JFHGDVqFAEBF3eCOFmWMdscBBecJMusDPV2vPJRMBgaWjWBoN4YOXIkvXr1YtGiRQ2tSq1xMV5TbSP6gaaPJElEBHhy/FwuZpuDhKwCWvl7NOgDukoCL70GH4/CSb5OmQKrnTyrg3yrg3yrHYdTCW2bb7WXOE5Cr1Vxy5TL6NGjJ2+8+SZ6rRqNSrq4DQ61DryCwSuYp/83h9feeJNrJo/jmy8+LZZx2CD9BBj8wOCrRJe6mNtE0Kio9uTtPn360KdPn7rQpdFjc8jIgJSuRERp1yoUgzAqBNXg/vvvJy8vj19//dWtfP369YwaNYrMzEz8/Pxq5VyN/WH54YcfJjY2ll9++aVW6124cCHLly/nyJEjeHh4MGTIEF555RWRzK0Wac79QFNHq1bROsCD02l5zLznLmwFuaz44zc3mYa8H6lVEl4GLV4GJYKQLMtY7U7ybcpoRoHVQYHNgVOWKbA6sDuc5FntnErLcx2v16gxaFTotSr0GjU6jQqdRlWnkbEq4r333uO1114jKSmJrl27smjRIoYPH16u/Lx585g/f75bWUhICElJSW5lTzw1hxYtWzFz5kwWvJJNdHSwssOcrUz8zk1WFrVOMTAMvqDzEkaGoE4R8VGrQZFPai/vDGYN0HHjJe0hbmsDayUQNE127NjBgAEDar3ef/75hwceeICtW7cSExOD3W5n3Lhx5OXl1ep5rFYxcVLQNPEyaAnzVUKYmm2Oep1vUV0kSUKvVePvqSPcz4N2IV50DfehY6g3bQI80aoVo6Eo0lXR6EZGvpWkbDOx6XkcO5fDgYRsjiSZOJWaS3xmPikmM1n5VvIsdmwOZ6mcWHa7vSx1qs3333/Pww8/zNy5c9m9ezfDhw9n4sSJxMXFVXhc165dSUpKIikpiYSEBDZt2lRKxsfHhzvuuAOVSsX+/fuLd3j4gV8bxZBApYSwzUtVRjGS94Ol7DlSAkFtIAyLalBgteNLLiNC83l7ooH57fbC6qcbWi3BRcjKlSsZNmwYfn5+BAYGMnnyZE6ePOnaP3LkSGbNmsUTTzxBQEAAYWFhzJs3z7X/tttu459//uHtt99Wwk1KErGxsQBERkaWemvYq1cvt+N//PFHunfvjoeHB4GBgYwZM8btwdzpdJZ77sqw2WzodDo2b97M3LlzkSSJgQMHVqd5KmTlypXcdtttdO3alZ49e/LZZ58RFxfHzp07KzyusmsaOXIkM2fOZPbs2QQFBTF27Nha01kgqG+CvHToNCoMWnWlifPq8n7Uo0cP3n77bbfzVXY/Gjt2LHarGV9P5Rq8dGqWvPk8I3u0ZWy/Tnzz/huE+Bjw89DhoVW7RiqsDie5FjsZeVaSTWbiMvI5mZrL39sPoFKpePuTLxgweCh6vZ5Pv/6etFwL2QWK8WG1O2o0ifzNN9/kzjvv5K677qJz584sWrSIiIgI3n///QqP02g0hIWFuZagoKAy5ex2O56enhw4cKC4UKUBzwAIKBFdyiNAKZcdSn6MIgqyIDdVTP4W1BrCsKgGORY70VICALKuMHtmsHCvaGhkudj/tr6Xusr8npeXx+zZs9mxYwdr1qxBpVJx9dVX43QWB33//PPPMRqNbNu2jVdffZUFCxYQExMDwNtvv83gwYOZMWOG661XRERElc6dlJTEjTfeyB133MHhw4dZv349U6ZMcbvWis5dGWq1mo0bNwKwZ88ekpKSWLVqVSm5l156CS8vrwqXf//9t9LzZWdnA1Tq+1+Va/r888/RaDRs2rSJDz/8sErXK2helLwfFRTOEWiM9yNJkjDqNeg0lT8GNKX70WuvvsqrC19k/7Z/aR3oSftQb7qG+9C5hQ/tgr2I8Pck1MeAv6cOo06DTq3i2EHlbf/H7y7izgcf46e/t9C1/zASswo4k64YH4/NnYeXlzeeRi+MRYtX8eLl5cVff68jz2LHbFNctCwWCzt37mTcuHFu1zRu3Dg2b95c4XUfP36c8PBwoqKiuPHGG12G2Pk8/fTT5ObmuhsWJVGplREM/zYQ2g2COoK6hBd8XgqY4iHlEKQcBlOiMqLRHCNxCWqFas+xaM6YCuy0VyWwLd5Ox9Y6/ACCOzWwVoICm4Muz5Z+MK0PDi0Yj6euej+jP//8Ey8vL7cyh8PdFeGaa65x216yZAkhISEcOnTIFW2nR48ePPfccwC0b9+exYsXs2bNGsaOHYuvry86nQ5PT0/CwsKqpV9SUhJ2u50pU6a4EqF1797dTaaic1eGSqUiMTGRwMBAevbsWa7cvffey3XXXVdhXS1btqxwvyzLzJ49m2HDhlUapagq1xQdHc2rr75aYT2C5k1Tux/98ccfrvuRDEjU3/2opGFSHrVxP5IkCa1aQqtWYdRTiu/ij2M0Glm2bBnhEa2xOpzYHTI2hxObQ8bucHLd9DsZN/nqCnUNDGvBydRiN6OU5CQcDgdmjRcnUnJQq1SoJQkPnwASEpNIzTGjUkmoJQm1SkJV+Nm3X3+WLv2cjh07kJKSwgsvvMD48eM5cOAAwcHBrvp37tzJBx98wGWXXVa+YVESSQLdeRniDX6ABNbcwnkZZiXrt1RokPi1rrxegaAEwrCoBrkWB2H5Jxm0JB9JOk3eHG88hGEhqCYjR47kgw8+cCvbtm0bN998s2v75MmTPPPMM2zdupW0tDRXBxwXF+fWkZekRYsWpKSkXLB+PXv25NJLL6V79+6MHz+ecePGMXXqVPz9/V0yF3ru3bt3V2hUgDLCcKERhmbOnMm+fftcIyQVUZVr6tev3wXpIxA0NkaNGsV7773HmfQ8zDYnvp5azhzey/Tp010yF/v9aO/evVxxxRV06Rhdrowc5o3D2Rq7UzE0bE4Zu0PG7nTicMhKubNw2ynjcBa/8bc7ZfKtDkAx2PIsNhwyJGWbyzxXm15Di68lsA1vLPmW8YN78eZ7nzDj/gcLXbtkbr9rBrfNuJe+/frzwIzbSczIwaDXo5KUqFkqSTGqij9Ll+EVoiwOu5Lt22xSPmWHUlaS3BTQGUHrKSaAC8qlSobFO++8U+UKZ82aVWNlGju5FhtyYUSoKD8VHlpJuEI1Ajy0ag4tGN9g564uRqOR6Gj3Diw+Pt5t+/LLLyciIoKPP/6Y8PBwnE4n3bp1c5swrNVq3Y6RJKlKbwBVKlUplwmbzeZaV6vVxMTEsHnzZlavXs27777L3Llz2bZtG1FRURd07iL27NlTqWHx0ksv8dJLL1Uo89dff5UbXeXBBx/kt99+Y8OGDbRq1apSnapyTUajsdJ6LlZEP1A1iu5HTqeTHFMO3j7eqFT143Vc0/tR+/btCWll40y6Mo/KeM49+tDFfj/au3cvTz31VIUyCxcurNb9SJZl8gMNqNVqNBYTkYFG7IUGR4Epk7DQUPw9dYoRIivlzsJ1p1OJQAngkGW0eg/ad+rCyRPHybUoD/tfL/mAtNRUbp/1BMkJ8djtdrbs3Ef7zl2rfN2SJKGipKGhRZICUakC8cAMDglrWh4qCbSyjXCr4gruQI1FbcSq8cKmMSJLmsK5M8qIlyRJhZ9gs1ox2xxsP52BRqtDo1ahVikjSBqVCq1aKtxWyjWF5WqVhEal7Ctav6jDCF9EVMmweOutt9y2U1NTyc/Pd4Why8rKwtPTk5CQkIu6QzFo1SSlKf7aXYJVoDWCT+UPLIK6RZKkag//N2bS09M5fPgwH374oauTqsob9/PR6XSlXBoAgoOD3cIWmkwmTp8+7SYjSRJDhw5l6NChPPvss7Rp04aff/6Z2bNnV1uPsti/fz9XX12xW0FNXaFkWebBBx/k559/Zv369a6HD8GF0Rj6gczMTGbNmsVvvynhUa+44grefffdSkOiHj58mCeffJJ//vkHp9NJ165dWbZsGa1bV8/NIy8vD7Xa/eHdYrG4PRhLkoReLSGrVFg1EobzErlJkuRmaJT1G62JbJF8VWVLXofT6cRLpyLMR09ytpmMXIurjpSUFLf7kdPpdM1tcjqdOBwOZFlGlmUcDodbvUVloDz82+12N70kSSIoKIikpCScTiUyU9H9qKjuIoYMGeJ2P/rpp5945JFH3M5dFkX1lkdubi6xsbH07t27QtkZM2Zw7bXXutq4LNmWLVu69FCpVBg9DPTt25cN69Zw3TXF97vNG9Zx+eWXE+6rd8meX69TlnHKhXk9Cgo4c+IoIy8ZToS/BwmJCbz3xku8/8lSWgf7EebnhV6vJ+HUMXr37FF4PDhR3NtkGZxOWam7hL6yLFPiv6FYBYXky0V9qmI86rGSKXniRQFqyY6nw4Snw4RslsmX9aTIvuRQ+sWLbLeSlmtl3rp9xGdbke22UjIuDdRqJHVRmGEnss098p4k4TI2NFotGo0WjVqFJMtIDgsWi42X961GU+RWJkmKq5lGg1anQ11o/Mg2S+E+XC5oRcaVVqNBoysa9QGH1eIa6VEVHl/0qVGr0eoNrn12S77LwCo5OiRJoFZr0Ov1SCjbVnOBy/hSlTDEJElCpVah13sUHg82c0Hh9ZeQQ8mlplKp0Bk8XOVWsxmQS8hJrn+tLDs5miLRPiWXLi39yc/PL/f7LkkSnp7FbnMFBQXl/t/Op0pPYyUfOr755hvee+89lixZ4ooLf/ToUWbMmME999xT5RM3RTRqFXGFsbK7BKkguAPU05soQfPB39+fwMBAPvroI1q0aEFcXFylb9PKIjIykm3bthEbG4uXlxcBAQGoVCpGjx7N0qVLufzyy/H39+eZZ55xexjYtm0ba9asYdy4cYSEhLBt2zZSU1Pp3LlzrV2j0+lk3759JCYmYjQa8fX1LSVTU1eoBx54gG+++YZff/0Vb29vkpOTAfD19cXDw+OCdW+uNIZ+YNq0acTHx7Ny5UoA7r77bqZPn87vv/9e7jEnT55k2LBh3HnnncyfPx9fX18OHz5coxxE4eHhpcratGnD559/Ttu2bV1le/fuLfeNube3t1tOlf3795cb2tTT05MuXbq4tg8ePFhumGODweA2j+jw4cOYzWW72uh0Ojf3oSNHjpCfn+/atmcmArBv3z58fX3d7kebNm1yzTM6deoUu3fvJjc3l5SUFPbu3euW3yQnJ4fdu3cD4OXlxbp16/jzzz/x9PTEx8eHfv36MXz4cL766iv69u0LwIcffogkSSQnJ7N7924OHDjAjh07uOWWW2jRooXrfqTVat3OXXQecJ+7cfbsWVJTU8tsB1CCO6hUKrp3705CQgLnzp0rV7Zr166ue0hiYiKJiYlu+48cOeJa79y5M0ajkdmzZzN9+nSCg4Pp3r07P//8M7GxsQwbNsyl8/r16/nrr79Ys2YNaWlpzJ49m+HDhxMWFkZmZiZLlizBZDIxZGB/JFsBzz31OJMmTmTC6EuIPXkYUL6He7b9y5C+xfNP2rZt67qHZmRkcOrUqXKvLbxVa3z9A3DKMrkmEwlx7i+brEBO4XpgUBDBRhU6ey4Wi5mj6QVA2Q+eem9/dBqJdsFe2NMOsn3RveXqEDBsGr7DpuGUwZZ2lqRPHyhX1mfAFPxH3QGAPfscCR/cWa6sV+/LCBx3HwCO/Gzi372pXFljt0sJuuwRAJxWM2ffmlqurGfHoQRfNce1feaVyeXKerTtR8i181zbcW9eg2wrOxKXPqIbYdNedm2ffWcazgJTmbK6sPa0uLX4pU/8+3fgMJXtBqgNbE34Xe/R+ngaXVr6079/fw4dOlSmbJs2bdwCBkycOLG8SytFtV/zPvPMM/z4449uN8aOHTvy1ltvMXXqVG66qfx/WFPHYnOSkKHcqDuMmApjL25DStAwqFQqvvvuO2bNmkW3bt3o2LEj77zzDiNHjqxWPY899hi33norXbp0oaCggNOnTxMZGcmcOXM4deoUkydPxtfXl+eff97todHHx4cNGzawaNEiTCYTbdq04Y033qjWjWXp0qXcfvvt5b4NeeGFF3jyySd56623mD17Nm+88Ua1rq0iisI4nt9en332Gbfddlutnac50xD9wOHDh1m5ciVbt251hSf++OOPGTx4MEePHi03AeLcuXOZNGmS26T7kkaAoGKk8+5HkZGRPPLII9x7b/kPiGVx8803M3/+fK677josFosrSegjjzxCQkICM2bMwGg0cu+995KQkOA6zmg0smvXLn744QfX/eh///sfQ4cOLe9Upfj9999ZsGABO3bsKLVv//79dOrUqc6S3V5//fWcPn2ad955h7S0NNq1a8eiRYto0aKFSyY9Pd0tfG9KSgpPP/00WVlZ+Pv7061bNz799FNatGjBypUrWbt2LYcPH3Y7T3R0tFsd1UWnUWHUK4+EDnPFLnVGT0+8gkMAsGRnQnr55/WTTWjUeXw04Bz7O7RhwKLy633w0vbMm3cZTqfMvv0H6P1p+bLX94/gyUdH4HTKnDkTy9gPypcd0zmEWbf3x+mUSU9L5fp3y5ft28afe6d0V0aK8vO4+63yZTuEenP72A7KiJAsM/uV8mVbBXgybUgkoIwULVSpKG/sJthbzzV9WimjccCHGlU5Zhv4emiZ0DUMGRlZhm91asrLUuKpV9PJ10lLv7p9wSbJ1YyX6enpyfr160slttq+fTsjR450e+vR2DCZTPj6+pKdnY2Pj0+Vj7PZbKxYsQJTcHfevbEbO+IK+OG9F5h639w61LZpUdRGkyZNKuXvWpuYzWZOnz5NVFRUk8t67nQ6MZlM+Pj41JvPdUMxb9481q9fz/r166t1XHNqo5pSWRtV9Bup6T3wfBqiH/j000+ZPXs2WVlZbuV+fn689dZb3H777aWOcTqd+Pr68sQTT7Bx40Z2795NVFQUc+bM4aqrrir3XBaLBYul+G2iyWQiIiKCM2fOlGo3q9VKamqqW3sXubPk5OTg7e1dyhWq5HZFcwGqIwu4fR+qI1vkTuTaBs5mFGCxO2gT6IlBqylXtjr1no8kSa42KpKvjXrPl50/fz7//PMPa9asqdV660u25HfpfFezqtYLtfddq1TWnIVUkAnWPCx2B2cS04ja9ChaUxwFvtHYr/0KfEqP/mm1WnQ6navOitxvzpc1mUysXbuW0aNHl3oG0WgUNyQonPtSwf2pOrJqtdrtHltREtbqyKpUKrfR9erIVuTeZLfb2bRpE2PHjkWr1VbLFercuXNERERUqe+o9ojFpZdeyowZM1iyZAl9+/ZFkiT+++8/7rnnHsaMGVPd6poUx87lYrMrPyCDZ/OdxCkQVMaqVatKJb0SXDw0RD+QnJxMSEhIqfKQkBCXu9v5pKSkkJuby8svv8wLL7zAK6+8wsqVK5kyZQrr1q1jxIgRZR63cOFC5s+fX6p806ZNbp0tFCcyy83NLeWmpFKpaj3je33hpwWnBqwF+Vir7l5dI3JycioXugBWrlzJwoULyc1tuhmnm9Z3SQPaYNAE4jDnYlPnY9K3JFgVjz4/iTW7joJ0HID2yb+jdeST6t2FDGMHHOoy4gFXEYPBUGl+EAFVzjlVkuq8LKq2YfHpp59y6623MmDAAJdVaLfbGT9+PJ988kl1q2tSFNic3NTLgwlRMu2leCVTpabmPwKB4GJly5YtDa2CoA6pzX5g3rx5ZT7El6TIhaWsqDCyLJcbLaboTeqVV17JI48oftO9evVi8+bNfPDBB+UaFnPmzHELVFA0YjFu3LhSb+vMZjNnz57Fy8vL7Y1keSMWTZUcix2dWoW+Cgn1qkp9tdHWrVvrrO76oCl/l8x6A5rMXDxu+xG7XICUfoJJrfq79msWP42UHUf7lD+RVVrk8D7IbYYhtxmK3Ko/aKvmtmOz2YiJiXG9jReU5kLayGQqe45HWVTbsAgODmbFihUcO3aMI0eOIMsynTt3pkOHDtWtqslhtjm4t58WL8kAZ74AVQUOdQKBQHCRUpv9wMyZM7nhhhsqlImMjGTfvn1lTqxNTU0lNDS0zOOCgoLQaDRuE6BBmVhbUaQ1vV7vcocoiVarLdUhOxwOV/SmslyRzo/s1BTJMduISy9ArZJoG2zEUIOwtmVxMbVRXdKU26ko4pVWq0Vr8AafEqOOTieM+h/E/gunNyBln0WK3wbx22DTGxDWHe4t8Tu1W0Gjq/B8Zf1GBe7UpI2qI1/jGJ0dOnRoFsZEScw2B/qi6TYBbUFVOzdXgUAgaIrURj8QFBREUFBQpXKDBw8mOzub7du3u+Z2bNu2jezsbIYMGVLmMTqdjv79+3P06FG38mPHjrmyOAsqx0OrRq9VYbY5OJWaV6vGhaAZo1JBrxuVRZYh8zTEblSW0/9CxKBiWbsFXouGkM7QZqiyRAwAQ83nignqhhoZFvHx8fz222/ExcWV8il98803a0WxxojFauNkug2tSqJ1+2iETSwQCJor9d0PdO7cmQkTJjBjxgw+/PBDQAk3O3nyZLeIUJ06dWLhwoWuPCmPP/44119/PZdccgmjRo1i5cqV/P7779UOLNCc0ahVtA0ycjotj4JC4yIqyIiHThgXglpCkpQXtgFtoc8tiqFhLxGONWmvkhH87DZl2fgmSCplVKPNUKSO5Yd6FdQv1TYs1qxZwxVXXEFUVBRHjx6lW7duxMbGIsuyW/zqixGn3Uz/j/PItcKJAaG0a2iFBAKBoAFoqH7g66+/ZtasWYwbNw5QEuQtXrzYTebo0aNkZ2e7tq+++mo++OADFi5cyKxZs+jYsSM//fQTw4YNqzM9L0Y0ahVRQUZOp+dRYHVwKi2XyECjK0SpQFCrSBJoS0S1a9UfZu2BM5vgzGblMzNWMTiS9iJ5BgHRimxuCpz4G1oPAv8opS5BvVHtO8KcOXN49NFHWbBgAd7e3vz000+EhIRw0003MWHChLrQsfFgM2MuzGPkESrMCoFA0DxpqH4gICCAr776qkKZssIn3nHHHdxxxx11pVazoWjkIjYtnzyrndNpeUSHeAm3KEHdI0kQEKUsvW9WyrITIG4LnNmMs+1o2BmnlJ9aD78oCfHwCoWIgdB6MLQeCGE9QC38TeqSas8COnz4MLfeeiughNkrKCjAy8uLBQsW8MorF/dk5lCDncJosxi8/BpUF4FAIGgomnM/0NxRq1REBhnx0mvw89DWapQogaBa+LaE7lNh8psQWpx1Hq2HYkyotJB7Dg7/BqvmwMej4eXWyhyOIqqXyk1QBao9YmE0Gl2Jg8LDwzl58iRdu3YFIC0trXa1a2R4UuzvZzB6N6AmAoFA0HA0535AAGqVRGSQEYniEMAVhf0VCOqVzpcri60AEnbB2a0QVzg3w5wFgdHFshteh/3LoNUAiOivfAZ3UiaWC2pEtQ2LQYMGsWnTJrp06cJll13Go48+yv79+1m+fDmDBg2qvIImjC2/OImPvt3QBtREIBAIGo7m3A8IFFQljAhZljmTno9eqyLMxyAMDEHjQOsBkUOVBZTwthknwTusWObsVkg7pix7Ct0s9T7Qso9iZAx9CPRe9a97E6bahsWbb77pyl45b948cnNz+f7774mOjuatt96qdQUbE7k5WQBo1aA2BjSsMgKBQNBANOd+QFCaHIsdk9kGZrA5ZFr5eaBSCeNC0MhQqSCovXvZ1R9B/A6I3w5nt0PCTiX61Kn1cHYHjHyqWPa/z8Bph5Z9FderSnJqNFeqbVi0bdvWte7p6cl7771Xqwo1ZlLSMwGET6lAIGjWNOd+QFAaH4OWVv6eJGQWkJVvxWZ30ibQE41a9JWCRo4xEDpOUBYAhx1SDimGhjnbPV/Zlv+D9OPKuloPLXpAy36KodGyDwSKoD5Qg8nbAFlZWXzyySfMmTOHjIwMAHbt2kVCQkKtKtfYMGhVPDZYx4wB3pCf0dDqCC5CRo4cycMPP9zgdTRmLvbrayo0136gOVGd31qAUUdUkCdqlUSe1c6J1FzMNof4vRby9NNPo9frmTZtWkOrIqgItUYxGPrfBcMfLS6XZeh+LUSPAYMfOCzKSMe292H5XfD9ze71nNkMOcn1qnpjodojFvv27WPMmDH4+voSGxvLjBkzCAgI4Oeff+bMmTN88cUXdaFno8DHqOe1cQZABksOeAp3KEHVUasrDslYFGXnQlm+fDlabe2G03v44YeJjY3ll19+qdV6Fy5cyPLlyzly5AgeHh4MHjyYp59+mr59+9bqeQS1S3PuBy4WKpsHUZP7kZdBS7tgL2LT87DanZxMyeXzb74nwNuzpmrWO++99x6vvfYaSUlJdO3alUWLFjF8+PBy5efNm8f8+fPdykJDQ0lOdn+ofOKJJ2jRogUzZ85kwYIFREdHI2hCSBKMfFJZl2XIOKW4TRUtYT2KZR02+PJqsJvBOxzCe0PL3hDeR1m/yJ8dqz1iMXv2bG677TaOHz+OwVCcvGTixIls2LChVpUryRVXXEHr1q0xGAy0aNGC6dOnk5iYWGfnKwuNs0QWSK1HvZ5b0PRJSEjgyJEjJCQksGjRInx8fEhKSnItb7/9dq2cJyAgAG/v2o1atmPHDgYMGFCrdQL8888/PPDAA2zdupWYmBjsdjtTpkwhLy+vVs9zfmZowYXRUP2AoPYoee+pzfuRQasmOtgLo16DDIQEBdb6/eh87HZ7rdTz/fff8/DDDzN37lx2797N8OHDmThxInFxcRUe17VrV7e2279/fykZHx8f7rjjDlQqVZn7BU0ISVLcnnpcBxNfgbv+VkLeFpGbUpiYTwU5iXD0T1j7Anw1BV6Ngt8fKpaVZSjIrP9rqEOqbVjs2LGDe+65p1R5y5YtS1notcmoUaNYtmwZR48e5aeffuLkyZNMnTq1zs5XFmpLNmeynKTnO0Gjr9dzC5o+YWFhhIaGEhYWhq+vL5IkERYW5lp8fX0BcDqdPPHEEwQEBBAWFsa8efPc6pFlmVdffZW2bdvi4eFBz549+fHHH137z3c9+PHHH+nevTseHh4EBgYyZsyYKj+422w2dDodmzdvZu7cuUiSxMCBAy+4LYpYuXIlt912G127dqVnz558+umnxMfHs3PnzgqPq6yNRo4cycyZM5k9ezZBQUGMHTu21nQWNFw/IKg9zr/31Ob96JeflxMVZKRtsJGJ48a47keyLLvdj4KDg7nqqquq9SIhNjYWSZL48ccfueSSS9Dr9fz888+10iZvvvkmd955J3fddRedO3dm0aJFRERE8P7771d4nEajcWu74ODgMuXsdjuenp4cOHCgVvQVNFJ8W8IDW+Gps3DbChj3InSbCgGFc9N8I4pls+LglUh4uycsuwX+fRNOroW89AZRvTaotiuUwWDAZDKVKj969Gi5P6ba4JFHHnGtt2nThqeeeoqrrroKm81W624f5ZEce5LIH3IZ2FLN1pcMlR8gqFfyreW/tVJJklt22NqQ9dRV++dTJT7//HNmz57Ntm3b2LJlC7fddhtDhw51PRw//fTTLF++nPfff5/27duzYcMGbr75ZoKDgxkxYoRbXUlJSdx44428+uqrXH311eTk5PDvv/+WmZ24LNRqNRs3bmTgwIHs2bOH0NBQtzfUAC+99BIvvfRShfX89ddfFboTFJGdnQ0ooy4VUVkbFcncd999bNq0qcrXK6gaDdUPNCXyrXYKrA40Vjuq82LiN4f70arz7kf5Fju7j552ux9lZ2cTExNTrd/nnj17AHjllVd46aWXiIqKKvWdq8k9yWq1snPnTp566ik3uXHjxrF58+YK6zp+/Djh4eHo9XoGDhzISy+95BbgoIinn36a3NxcYVg0F/Re7uFuAQqyQHYWb6ceVT4zY5Xl0K/F+3wjYNT/oFfhvJyi30kjD+dc7TvRlVdeyYIFC1i2bBmg+GnGxcXx1FNPcc0119S6gmWRkZHB119/zZAhQyo0KiwWiyuJE+DqCG02GzabrcrnK5JV2/MBMGjA5pSgGnVc7BS1UXXatabnkWUZp9OJ0+l029fl2VXlHjeyYzCf3trPtd33+b8psDnKlB0YFcC3M4rfyg97eS0Z+aWv69RLE6ule1HnWaQ/UOoaAHr06MEzzzwDQLt27Vi8eDF///03l156KXl5ebz55pv8/fffDB48GIDIyEj+/fdfPvjgA1dHWXSOhIQE7HY7V111Fa1btwZwJTIr69xlER8fT2BgIN27d3eVlTz27rvvrnT0sGXLlpWeT5ZlHn30UQYNGkTXrl0rlK+ojYqIjo7m5ZdfLlPnpkxZ36OSOJ1OZFnGZrOVmtdTW7/PxtAPNHa6zYspd9+ojsF8dnuxa2Fl96Pv7xns2h72yjoy8kq79sW+fNkFaFs+PXr04LnnngOgffv2LF68mDVr1jB27FjX/Wjt2rWu+1Hbtm3ZuHEjH374ocuwkGWZxGwz8QmJ2O12xkycTGRkJE6nkzZt2uDlVfU8AXv37sVoNPLDDz8QGRlZpsy9997LddddV2E9LVu2dNtOS0vD4XAQGhrqVl7WfImSDBw4kC+++IIOHTpw7tw5XnjhBYYMGcLBgwcJDAx0ye3cuZMPPviAyy67TBgWzRkPP/ftDuPgidOQvA8S90DSHkjap+TbyD7r7h1zaj0sn6HM52jRo/Czp+J21YgS+lXbsHj99deZNGkSISEhFBQUMGLECJKTkxk8eDAvvvhiXejo4sknn2Tx4sXk5+czaNAg/vjjjwrlFy5cWGpSFcDq1avx9Kz+ZDKVvQAAg1ZixV9/Vfv45kBMTPmdaW1QNOScm5tbLb95u93u9oZVpvw3ZKVky3mbVtYb26qQk5OD2WxGluVSddjtdjp16uRWHhQUREJCAiaTiV27dmE2mxk/frzbcVarlR49emAymbDb7VitVkwmE1FRUYwYMYKePXsyevRoRo0axZVXXomfn1+V9d22bRtdu3Yt93o1Gg0hISEV1lEVY/6xxx5j7969/PXXX+Tk5JQrV1kbFckUtcfFSnltZLVaKSgoYMOGDaV8z/Pz82vl3A3ZDwjqlx49erhtt2jRgpSUFAAOHTqE2Wwu5WpotVrp3bu3a1uSJNoEeuLs1YuBw0YwuH9fRl46hssnjmf8+PH4+PhUWZ89e/ZwxRVXlGtUgDLiWdmoZ3mcP6m9soziEycWv2Dq3r07gwcPpl27dq6RHlCM/XvuuYeZM2cycOBAbrrpJqxWKzqdyIMgQJnM3XakshRhzlYMjJAuxWVJeyEvFU6uUZYidF5KXo2xC6B17bkq15RqGxY+Pj5s3LiRtWvXsmvXLpxOJ3369GHMmDHVPnlZ0RTOZ8eOHfTrp7xpfvzxx7nzzjs5c+YM8+fP55ZbbuGPP/4o90c/Z84c1w8blAfBiIgIxo0bV60bmc1mY/XqGLApox8eWhWTJk2q8vHNAZvNRkxMDGPHjq1T1zSz2czZs2fx8vIq5ZJzYF75fvRqSUJfwp3gv7mXlit7vuvBv0+OKlOuuq4HsiyTk5ODt7c3BoOSnfb876FGo8FoNLqVa7Va1Go1Pj4+eHgoQQN+//33Um/c9Ho9Pj4+aDQadDqdq441a9awefNmYmJiWLJkCS+++CJbtmwhKiqqSnofPnyYPn36lPubWbhwIQsXLqywjj///LNCV6hZs2axatUq1q1bR1BQEN7e3uX+ritroyIZPz+/av3Omwolv0dltZHZbMbDw4NLLrmk1G+ktgyt2uwHLlYOzBtLjikHbx/vMl2hSrLzmfLb7XzZjeXcj+qK8+/nkiSVGnH9888/y7wfudWjVhEd5sPy31cQs24DWzas46233+Xpp59m69attGtXtRwAe/fuLeWudD41cYUKCgpCrVaXGp1ISUkpNYpREUajke7du3P8+HFX2bvvvktqaioLFiwgLi4Ou93O0aNH3UaBBQI3DL4QdV6fOeBuiBymjGok71cMj3MHwZqrZBBXl/it7lwKW99XDI6wbhDaHYI61YvqNXbKHD16NKNHj76gk8+cOZMbbrihQpmSbyWCgoIICgqiQ4cOdO7cmYiICLZu3eoagj0fvV5f6uYGyo2yug+/DhkKHMoNXucXXm/zOpoaNWnb6uBwOJAkCZVKVaqz9jJU/e1PXclWRFEnXKQ/UOoazt9ftF1U1q1bN/R6PfHx8YwaVf4Dxvl1DB8+nOHDh/Pcc8/Rpk0bfv31VzejuyIOHDjAlClTytQV4L777uP666+vsI6WLVuWebwsyzz44IP8/PPPrF+/nrZt22IymUrpX9n1lWyj8mQuFsr6HpVEpVIhSVKZv8Xa/m3WRj9wseKp02DXqfHUaSr9HlbnJUVdzaWoCV26dEGv1xMXF1dqfldZqCSJcD9Prp5wKf0GDuaeh59gwqAe/PjTcp584vFKjzeZTMTGxrqNhpRFTVyhdDodffv2JSYmhquvvtpVHhMTw5VXXlmpbkVYLBYOHz7sMloSEhJ45pln+PbbbzEajbRv3x69Xs+BAweEYSGoHjpPaNVPWYpw2CH9hGJolBzdSNwDqUeU5YAS3EULdGgxBajbF+M1ukOtWbOGNWvWkJKSUsrH99NPP61yPUWGQk0ock8pOYeiLrE7wVHoVuDh7Vcv5xQIzsfb25vHHnuMRx55BKfTybBhwzCZTGzevBkvL69Ssee3bdvGmjVrGDduHCEhIWzbto3U1FQ6d+5c5XM6nU727dtHYmIiRqPRFS2miAtxO3jggQf45ptv+PXXX/H29iY5OZmcnBy0Wi1Go7FGdQrqh9rqBwRNlwu5H/kFBLF27b9kZqTRrWuXcs7gzt69e1GpVJU+kNf0njR79mymT59Ov379GDx4MB999BFxcXHce++9LpnFixfz888/s2aN4ory2GOPcfnll9O6dWtSUlJ44YUXMJlMrmufNWsWEydO5LLLlDkwGo2Gzp07i3kWgtpBrYGQTspSkpFzoOMkOLdfMTqSDyBnnCRXH1bnKlXbsJg/fz4LFiygX79+tGjRotIkO7XB9u3b2b59O8OGDcPf359Tp07x7LPP0q5du3JHK2qbAgfIdsWnX/hFChqS55////buOzyKav0D+He276b3QknoBAgJvYegJFSRogIqipSfqAEhKoq0UEwEBUEQEEvgXi/FCwSVJrlACAhECIRiICAQAhIIQcim7Gbb+f0Rs7Bpuylbkn0/z5NHd/bMzJmX2TP77pw5Zwm8vb0RFxeHGzduwNXVFZ07d8bHH39crqyzszOSk5OxatUqyOVyBAQEYMWKFfp+wZs2bcIbb7xR5agsS5cuxYcffogvvvgC0dHRWLFiRZ0dS+kwjuHh4QbLv/vuO0yaNKnO9kPqljWuA8Q21bY9WrJkib49+v777zF58uRK26Pz58+jbdu25br41ZWxY8fi4cOHWLx4MbKzs9GhQwfs27cPAQEB+jK5ubm4fv26/vWdO3cwfvx45ObmwsvLCz179sSpU6cQEBCAPXv24PDhw7h8+bLBfoKDgymxIObl5AM4RZY8HP4PTVEe7v160Pz7ZtXk6+vL/vWvf1V3tVq5cOECGzBgAHN3d2disZgFBgayadOmsTt37lRrO3l5eQwAy8vLq9Z6KpWKrd+ymy0cG8KmdRGyf8/oX6317YFKpWK7d+9mKpXKrPtRKBQsPT2dKRQKs+7HHLRaLXv06BHTarXWrorewoULWf/+/a1dDT1bjJGtMRajqj4jNW0Dy7LGdcCaqopbZfGmc9m4sjGaOftj1rVnH5b9WMG0Op2Va2c76vO5ZKlrtqW+g9RntYlRda4d1b5joVKp0Lt377rOb6oUHByMw4cPW3SfZSm0wLBWQnRrKwVz/duqdSGkrvz66691NuM3sR/WuA6Qho0xhuTD/0P0gljk5CuRr1SjsZsMUhHf+MqEEJtR7Scbp0yZgi1btpijLjatWAOIuZLhMjkBdYUiDcPJkyfRvXt34wUJeYq9XgeI+XAch9TTKRj+bD8IeBwUai3+fFCAHLkSOprgkpB6w6Q7Fk+PHqPT6bBx40b873//Q8eOHcuNMrJy5cq6raGNUGoBpUKBh5wOTkwESi0IIfaErgPEElxkIsjEAvz1SAG5Uo17ciXyFGo0dZcZDBlOCLFNJiUW586dM3gdGhoKAOUePmrID/AptRwW77uLvekF+HJcLqZPt3aNCCHEcug6QCxFyOchwEOGxwo17j5WQK1j4PPovCKkPjApsThy5Ii562HzirWAWlMypKKkgrkxCCGkIaPrALEkjuPgJhPBUSyASqODgF/Sc5sxBoVaa1PzeRBCnqBPpolEfEBVmliYaag7QgghhDwh5PMg5D95HPSxQo3bfxfBTSaCn4tEn3AQQmwDJRYmEvOB4n8SC6lUauXaEEIIIfanWF1yHX5UpIJcqYavswTuDiLqgkeIjaBU30RqHaAomXgbkpb9rFsZQgghxA75ukjQwssREiEfWh3DX48VuP6gEEUqjbWrRggBJRYmK1IDKk3JkHcS7+ZWrg0hhNifR48eYcKECXBxcYGLiwsmTJiAx48fV7lOQUEBoqKi0LhxY0ilUgQFBelnfCf1k4NYgFbejvB3kYLPcShSafBnTgFy8pXWrhohdo8SCxNlFXJPukI5Olm5NoQQYn9efvllpKWl4cCBAzhw4ADS0tIwYcKEKteZNWsWDhw4gB9++AGXL1/GrFmzMH36dPz0008WqjUxB47j4OkkRmtfJ7jJSgaAd6AHugmxOvoUmkitA0a1FSA7nwdfCd1yJYQQS7p8+TIOHDiAU6dOoUePHgCAb775Br169UJGRgbatGlT4XonT57E66+/jvDwcADA//3f/+Hrr7/GmTNn8Pzzz1uq+sRMhHwemrjL4O0kNpjn4mFBMYR8HpwkAnr+ghALosTCRFqtFp9F/DPMrOiBdStDCCF25uTJk3BxcdEnFQDQs2dPuLi44MSJE5UmFn379sXPP/+MSZMmwd/fH0lJSbh69SpWr15d6b6Ki4tRXFysfy2XywEAarUaarXaoKxarQZjDDqdDjqdTr+c/TNbdOl7pLy6jJGQz+m3odYyZOeVzNjtKBbA11kCibD+dtCoz+eSTqcDYwxqtRp8vvkmOCz9XJb9fJInahOj6qxDiYWJON1TQRU5Wq8ihFhZeHg4QkNDsWrVKmtXxaLs9bhtxb179+Dt7V1uube3N+7du1fpel9++SWmTp2Kxo0bQyAQgMfj4dtvv0Xfvn0rXScuLg6LFi0qt/zgwYOQyWQGywQCAXx9fVFQUACVSlVunfz8/KoOi6B2MRo+fDiCg4MRFxenX6ZjgKMAyFcDBcUa/PmgAA4CwEUECOpvflEuTkuXLsWaNWvw3HPP4dtvv7VSraqmUqmgUCiQnJwMjcb8vT0SExPNvo/6riYxKioqMrksJRYm4us0yFMySASASOgAurFKauLtt99GYWFhuf7dSUlJGDBgAB49egRXV9c62ZetfxGeOXMmMjMzsXv37jrdbnJyMj777DOkpqYiOzsbCQkJGDlypEGZuLg47Nq1C1euXIFUKkXv3r2xbNmySn/1JuYTExNT4Zf4p50+fRpAxbN6M8aq7Ory5Zdf4tSpU/j5558REBCA5ORkvP322/Dz88PAgQMrXGfOnDmIjo7Wv5bL5WjSpAkiIyPh7OxsUFapVOL27dtwdHQ0mOOIMYb8/Hw4OTnZbFecN954A48fP0ZCQoLB8qSkJDz77LN4+PBhnbVHzzzzDEJCQvDFF1/ol9VFjAQCAUQiUbl/F1cAKq0O9+XFyFOoUagBFFoOHg4ieDmJwLPQv0lycjI+//xznD17FtnZ2di5c2e59qgi69evx+eff47s7Gy0b98eS5YswaBBgwziNG/ePAQGBmL69OmIjY1Fy5YtzXgkNaNUKiGVShEWFmbWOcDUajUSExMREREBoVBotv3UZ7WJUeldW1NQYmEqjQKuy0p+LXg4TAd3K1eHkPru9OnTGDZsWJ1vt7CwECEhIXjjjTcwZsyYCsscPXoU77zzDrp16waNRoO5c+ciMjIS6enpcHBwqLO6qFQqiESiOtteQxQVFYVx48ZVWSYwMBAXLlzA/fv3y7334MED+Pj4VLieQqHAxx9/jISEBP251rFjR6SlpeHzzz+vNLEQi8UQi8XllguFwnIXZK1WC47jwOPxwOM9+Tm8tMtK6Xu2iOO4CutX+rrsMdXF/swRo8rWl/B4CPAQoLBYg3t5ShSqNMgtVMHDUWx0Yj2NRgOBoPZfkRQKBUJDQzFp0iSMGTPGpJhu374ds2bNwrp169CnTx9s2LABL730Ei5duoTAwEB9OVdXV0yePBnvvvsu/vjjD7Ru3brW9a1rPB4PHMdV+NkxB0vtpz6rSYyqU942WzsbxGme3AaSONCoUDaFMUBVaJ2/f/q+1rUDBw6gb9++cHV1hYeHB4YPH47r16/r3w8PD8eMGTMwe/ZsuLu7w9fXFzExMfr3J06ciKNHj2L16tX6Lw+ZmZkASr6klb2LERoaarD+jh07EBwcDKlUCg8PDwwcOBCFhYX693U6XaX7NkatVkMkEuHEiROYO3cuOI4z6DdfW0OGDMHSpUsxevToSsscOHAAEydORPv27RESEoL4+HhkZWUhNTW1ym0bO+7w8HBERUUhOjoanp6eiIiIqItDatA8PT3Rtm3bKv8kEgl69eqFvLw8/P777/p1U1JSkJeXh969e1e47dJnIsp+kePz+ebrq/50e6QuovYIVbdHHTt2LPe8S123Rw5iAZp7OSDQwwF+zhKInuoPJVeocePmTXAchx07diAsLAxisbjcXZyaMqU9KmvlypWYPHkypkyZgqCgIHzxxRdo1KgRNmzYUK6sRqOBTCbDpUuX6qS+hNQW3bEwkYPuSWIhltEzFjZFXQTE+ltn3x/fBUR19wt3qcLCQkRHRyM4OBiFhYVYsGABRo0ahbS0NP2XpM2bNyM6OhopKSk4efIkJk6ciD59+iAiIgKrV6/G1atX0aFDByxevBgA4OXlZdK+s7OzMX78eCxfvhyjRo1Cfn4+jh07pn+A0Ni+jeHz+Th+/Dh69OiBtLQ0+Pj4VHiLPDY2FrGxsVVua//+/ejXr/YTVubl5QEA3N2rvhdpynFv3rwZb731Fn777TeDmJHaCQoKwuDBgzF16lR8/fXXAEpGeBo+fLhBF7a2bdsiLi4Oo0aNgrOzM/r3748PPvgAUqkUAQEBOHr0KP71r39h5cqV5qnoP+0RDyXdcSyK2qNKP5ccx8FZavira1GxBpkPC5F85CQAYNmyZYiNjUWzZs3K1c9S7ZFKpUJqaio++ugjg+UDBgzAyZMny5WfN28eCgoKKLEgNoMSCxNJWUliIeQBfHHdN9zEfuzduxeOjobJqVarNXhdtgvPd999B29vb6Snp6NDhw4ASn7pW7hwIQCgVatWWLt2LQ4dOoSIiAi4uLhAJBJBJpPB19e3WvXLzs6GRqPB6NGjERAQAAAIDg42KFPVvo3h8Xi4e/cuPDw8EBISUmm5adOm4aWXXqpyW40aNTK6P2MYY4iOjkbfvn31sa2MKcfdsmVLLF++vNb1IuX95z//wYwZMxAZGQkAGDFiBNauXWtQJiMjQ58oAsC2bdswZ84cvPLKK/j7778REBCATz75BNOmTbNo3W3Vnj17rNYemXLXyJztkUbHIODzkP7HRUhlDvh03ffo1K4N3GTCcs98WKo9ys3NhVarLde9z8vLC0eOHDFYlpqaig0bNmDYsGGUWBCbQYmFiZiqJLGQCnmAZysr14YYEMpKfqmz1r6rKTw8vNwt7ZSUFLz66qv619evX8f8+fNx6tQp5Obm6i/AWVlZBhfyp/n5+SEnJ6fa9SkrJCQEzz77LIKDgzFo0CBERkbihRdegJubm75Mbfd97ty5KpMKoOTugbE7CHUhKioKFy5cwPHjx42WNeW4u3btWqf1I0+4u7vjhx9+qLJM2btEvr6+iI+PN2e1DP3THul0Osjz8+Hs5GS5Zyxq0B4NGDCg3Ezk9tIeOUuFaCsWIPNqOgZEDoGXXxPceVSEB/k8eDlJDBIMS7VHpcomNmUHKdDpdHjzzTcRFRWFHj164JVXXqFnuohNoGcsTKRRlYxpLhbyAKmbkdLEojiu5Pa/Nf5qMLKIg4MDWrZsafBX9peu5557Dg8fPsQ333yDlJQUpKSkAIDBcJZlH6biOM6kXwB5PF65L19Pj1HN5/ORmJiI/fv3o127dlizZg3atGmDmzdv1nrfpdLS0owmFrGxsXB0dKzy79ixYybvsyLTp0/Hzz//jCNHjqBx48ZGy5ty3HX58Deph55uj4Qyao+MsHZ7xONxuPLHRTw3aCB8XSQQ8Hgo1uhwX67E07WyRHsElDxzxOfzyw2hnJuba3AXY82aNXjw4AEWL16M4OBgaDQaZGRk1Hr/hNQW3bEwUVGRAgAMHvoixBwePnyIy5cv4+uvv9b31zXl1/SyRCJRuS4NQMkt9ezsbP1ruVxucJEGSi7Mffr0QZ8+fbBgwQIEBAQgISHBYAjO2rh48SJGjRpVZRlzdj1gjGH69OlISEhAUlISmjVrVqPtENLQmbs98vT0tGp7JJfLkZmZiS5dOsPbSQIPBzH+LiyGgMfTD0mrYwwvvfoGxrzwIvi8ypO3uugKJRKJ0KVLFyQmJhq0kUlJSfphav/66y/Mnz8fW7duhYODA1q1agWxWIxLly6V6yZGiKVRYmEimYSHse0FkDk6AmolIDTfeMzEvrm5ucHDwwMbN26En58fsrKyyj3IZ4rAwECkpKQgMzMTjo6OcHd3B4/HwzPPPINNmzbhueeeg5ubG+bPn28wI2pKSgoOHTqEyMhIeHt7IyUlBQ8ePEBQUFCdHaNOp8OFCxdw9+5dODg4wMXFpVyZmnY9KCgowJ9//ql/ffPmTaSlpcHd3R1NmzYFALzzzjvYsmULfvrpJzg5Oel/HXRxcYFUKq3hURHS8JizPQKAfv364YcffsCIESOs0h6dP38ePB5P/4Wcz+Pg5WR4fc8rUqOIJ4XAUQZXRzE8HERGh6stZUp7tHbtWiQkJODQoUMAgOjoaEyYMAFdu3ZFr1698PXXX+POnTt48803AQAzZszAkCFD9EMoCwQCBAUF0XMWxCbQz+8m8nd3xLYXZPh+sAbQKK1dHdKA8Xg8bNu2DampqejQoQNmzZqFzz77rNrbef/998Hn89GuXTt4eXkhKysLQMnkX2FhYRg+fDiGDh2KkSNHokWLFvr1nJ2dkZycjKFDh6J169aYN28eVqxYgSFDhpi8702bNlU54dXSpUuxfft2NGrUSD9KTF05c+YMOnXqhE6dOgEouUh36tQJCxYs0JdZv3498vLyEB4eDj8/P/3f9u3b67QuhNR35m6PZs2ahX79+lmtPTp//rx+SOPK8HgcRAIeNDqG+3IlrtzLx93HCqg05e/AlGVKe5Sbm2swfO/YsWOxatUqLF68GKGhoTh27Bi2b9+OgIAA7NmzB4cPHy43RG9wcDAlFsQmcMyOxkOUy+VwcXFBXl5euVk6q6JWqxEbMwsLhf8uWTAvBxCUnzzJnqnVauzbtw9Dhw416+Q0SqUSN2/eRLNmzcw6i6c56HQ6yOVyODs72+yEWXUlJiYGSUlJSEpKqtZ69hSjmjIWo6o+IzVtA+1dVXGrLN50LhtnqRjVtD16GmMMeQo1HuQXQ6EuSSg4AC5SIRq7y8w6k3d9Ppcsdc221HeQ+qw2MarOtYO6QplIqiuEVsdK+lfyadQFQqry66+/lvtFjRBCrKEu2iOO4+AqE8FFKkRBsQYP8otRUKyBRscMkoqyozcRYm8osTDRH5euQLAnH8NaCbAnhhoNQqpS0UROhBBiDXXZHnEcByeJEE4SIRQqLfDU2FFqrQ43cwvhLhPBzUEIfj27u0BIXaDEwgSMMUBTMtysqQ9sEUIIIaThkor4Bq//LlRBqdbibp4C9+VKuDmI4OEggljIr2QLhDQ8lFiYQK1l4LQliYVUSIkFIYQQQgx5Oooh4HHILVChWKNFbkExcguK4SQRwsNBBCeJgLpJkQaPviWboFijBdOUTNgjEVHICCGEEGKIz+Pg4ShGax9HNPN0gLOk5AHZfKUaWX8XQauzm7FyiB2jOxYmKNboUKQp+X+JR1PrVoYQQgghNuvp5zCKNVr8XaACg2FX6ntyJZzEAshEfLqLQRoUSixMoFBrodbqAAASVx8r14YQQggh9YFYwIefq+GkmwqVBjlyJXIASIR8uDuI4CoV0jOcpEGgxMIEOfLiJ12h6tncCYQQQgixHTyOg7tMhMcKdcnD3o8VuJenhItUCDcHERzoLgapx+pdelxcXIzQ0FBwHIe0tDSL7LOgWIM2ngIMayVAO1+p8RUIIYQQQiogFvLR2F2GID8nNHKVQiLkQ8cYHhWpcONBAfKVGmtXkZAaq3d3LGbPng1/f3+cP3/eYvssKNZgchcx2nSTAT4PLLZfQgghhDRMfB4PHo5iuDuIoFBr8XehCoXFWjhKnnw1e1ykAgAweu6b1BP1KrHYv38/Dh48iJ07d2L//v0W229hsRYi/PMLgkBssf0SQgghpGHjOA4ykQAykcBg5m7GGLLzlFBrdeBxQBFK5saQCqmrFLFd9SaxuH//PqZOnYrdu3dDJpOZtE5xcTGKi4v1r+VyOQBArVZDrVabvG95kQoilJTX8cXQVmNde1Eaz+rEtab7YYxBp9NBp9OZdV91jf3zk1Np/Ul5FCPjjMVIp9OBMQa1Wg0+33BiLnN/PgkhtfN0wqBjgKtMiMdFaqi1OjwsVOFhoQoSAR+uDkK4SkUQCepdj3bSwNWLxIIxhokTJ2LatGno2rUrMjMzTVovLi4OixYtKrf84MGDJicnAHDhNof/brmHk7eUWDXuOnw99pm8rr1JTEw06/YFAgF8fX1RUFAAlUpl1n2ZS35+fqXvDR8+HMHBwYiLi6vx9utiG9ZWVYxM0RBiYExlMVKpVFAoFEhOToZGY9hXu6ioyBJVIw1EeHg4QkNDsWrVKqtuoyGYN28ePvvsM4wZMwZbtmwxaR0+j4OfixQ+TmLc/1sOFSdEvlIDpUaLe3laqDU6NHIz/bsMIZZg1cQiJiamwi/+Tzt9+jROnDgBuVyOOXPmVGv7c+bMQXR0tP61XC5HkyZNEBkZCWdnZ5O3c2H/FZxX66DUAG4e3hg6dGi16mEP1Go1EhMTERERAaFQaLb9KJVK3L59G46OjvVuhK6yvx6X9dprr0EgEEAkElXr/Cxr9+7dEAqFcHJyqvE2ypo1axYyMzORkJBQZ9sEgOTkZHz++ec4e/YssrOzsXPnTjzzzDNwcnLS/3L36aefIiEhAVeuXIFUKkWvXr3w6aefok2bNpVuty7iaKsYY8jPzzeI0dOUSiWkUinCwsLKfUZK79oSYqwrzeuvv14n+9m1a5dZrwl1KTk5GZ999hlSU1ORnZ2NhIQEjBw50uh669atw2effYbs7Gy0b98eq1atQr9+/QzKzJ49G35+foiKisLixYvRsmXLatVNKgB8nKVgAPIUajwqVMNVJtK/X1isQW5BMVxlJTN886irFLESqyYWUVFRGDduXJVlAgMDsXTpUpw6dQpiseHzDV27dsUrr7yCzZs3V7iuWCwutw4ACIXCajV0MrEAKk1JlwMHB4d600haQ3VjW11arRYcx4HH44HHq1+3gP/66y/9F8L//ve/WLBgATIyMvTvS6VSPP/88/rjqylPT8+6qK6BM2fOYNiwYXUec4VCgdDQUEyaNAljxozRL386BsnJyXjnnXfQrVs3aDQazJ07F4MHD0Z6ejocHBwq3XZ146hSqSASiYwXtLLS7k+VHR+PxwPHcRV+FqntIqWys7P1/799+/ZK26Pacnd3r/U2jNFoNBAIav91prCwECEhIXjjjTcM2qOqbN++HTNnzsS6devQp08ffP311xgyZAjS09PRtOmTCXWdnZ0xadIkzJgxAxcvXqx2YlGKz+PB3UEMdwfD7zaPi1TIU6iRp1CDz+PgLBHCVSaEo1hAz2MQi7LqNzNPT0+0bdu2yj+JRIIvv/wS58+fR1paGtLS0rBvX0lXpO3bt+OTTz4xez09HERQakr6NUukdNvRZqkKK/9TK6tRVmFa2Wry9fWFj48PfH194eLiAo7j4Ovrq/9zcXEBUPLFcfbs2XB3d4evry9iYmIMtsMYw/Lly9G8eXNIpVKEhIRgx44d+vfDw8Mxc+ZM/esdO3YgODgYUqkUHh4eGDhwIAoLTau/Wq2GSCTCiRMnMHfuXHAchx49elT72CszZMgQLF26FKNHj660zIEDBzBx4kS0b98eISEhiI+PR1ZWFlJTU6vctrE4hoeHIyoqCtHR0fD09ERERERdHBIhJVSFgLrIptujp9sea7RHXl5eGDlypMntEQBkZmaC4zjs2LEDYWFhEIvFdXYn1ZT2qKyVK1di8uTJmDJlCoKCgrBq1So0adIE69evL1dWo9FAJpPh0qVLdVLfp7k7iOHlKIaQz4NWVzJ07c3cQlzOzsdfjxTQ6mhYKWIZ9eIZi6ezfgBwdHQEALRo0QKNGzc2+/6LNboniUXzXmbfH6mhWP/K32sVCbzy3yevP2tZctGvSEBf4I29T16vCgaKHpYvF5NXs3oasXnzZkRHRyMlJQUnT57ExIkT0adPH/0X33nz5mHXrl1Yv349WrVqheTkZLz66qvw8vJC//79DbaVnZ2N8ePHY/ny5Rg1ahTy8/Nx7Ngx/QPAxvD5fBw/fhw9evRAWloafHx8ynWviY2NRWxsbJXb2b9/f7muATWVl1cSd2O/hBqLY2mZt956C7/99pvJMSHEFLxPG8O1sjepPcKoUaOQl5eHxMTEan32SuevWrZsGWJjY9GsWTN4eXkZlLFUm6RSqZCamoqPPvrIYHlkZCROnDhRrvy8efNQUFBglsRCKuJDKpLC10WCQpUWj4tUkCvU0Oh0yFeq4e/6pN0u1mgh4vPoTgYxi3qRWFhboUqL4tLEolFHK9eGNHQdO3bEwoULAQCtWrXC2rVrcejQIURERKCwsBArV67E4cOH0atXSZLbvHlzHD9+HF9//XWFF3KNRoPRo0cjICAAABAcHGxyXXg8Hu7evQsPDw+EhIRUWGbatGl46aWXqtxOo0aNTN5nVRhjiI6ORt++fdGhQ4cqy1YVx1ItW7bE8uXL66RuhDRE5myPdDodAgIC9D8WmuL8+fNwcHDAf//7XwQGBlZYxlJtUm5uLrRaLXx8fAyW+/j44N69ewbLUlNTsWHDBgwbNswsiUUpjuPgKBbAUSyAzpWhsFgDre7JELY6xvBnTgF4HAcXqRAuUiFkNNM3qUP1MrEIDAy06K+L5zIfQvHPKI1Sx7p7IJbUsY/vVv4eV+bB6Q/+rKJsmR6CMy/WvE410LGjYfLq5+eHnJwcAEB6ejqUSmW5bjsqlQqdOnUqt62QkBA8++yzCA4OxqBBgxAZGYkXXngBbm5uJtfn3LlzlSYVQMmdA0v0owZKnsu6cOECjh8/brRsVXEs1bVr1zqtHyGldB/dgTw/H85OTuWfhaH2CIMGDcLAgQMxaNCgag2ykJaWhhEjRlSaVACWbZOA8g/CPz0XBVDSnezNN99EVFQUevTogVdeecUiz3TxOA5OEsPnqlQaHcAAtU6H3IJi5BYUQ8DnwUUigItUCAd6JoPUUr1MLCyNqRUIC+DjkZLBhebHs12iyh/ktVjZOlD2AVuO4/QP7Jb+d+/eveV+catooAI+n4/ExEScOHECBw8exJo1azB37lykpKSgWbNmJtUnLS2tysTCUt0Opk+fjp9//hnJyckmdYGsKo6lqnr4m5BaETkAQm3Jf40NImCn7dFXX32FefPm4dSpU2jRooVJ9Tl//ny5rkdlWapN8vT0BJ/PL3d3Iicnx+Auxpo1a/DgwQMsXrwYWVlZ0Gg0yMjIqNbd47oiEfIR5O+MAqUGeQo15Eo1NE/NkeHjLIGPc/0acZHYFkosTMA0Suwa+89D27o71q0MsWvt2rWDWCxGVlZWuW4GleE4Dn369EGfPn2wYMECBAQEICEhwWAo5qpcvHgRo0aNqvR9c3c7YIxh+vTpSEhIQFJSkskJEWl4PvnkE+zduxdpaWkQiUR4/Pix0XUYY1i0aBE2btyIR48eoUePHvjqq6/Qvn1781e4gattezRv3jwEBgZi9+7deO+994yuK5fLkZmZWeHdkKdZqiuUSCRCly5dkJiYaNBGJiYm6kfU+uuvvzB//nxs3boVDg4OaNWqFcRiMS5dumSVxAIouZPhLBXCWSqEjpV0l8pTqCFXaOAsefK1UK5Q41GRCs4SIZwkAgj49WskRmIdlFiYQvNk9m4IpdarB7F7Tk5OeP/99zFr1izodDr07dsXcrkcJ06cgKOjY7mx51NSUnDo0CFERkbC29sbKSkpePDgAYKCgkzep06nw4ULF3D37l04ODjoR4spVZtuBwUFBfjzzyfdQDIzM3Hx4kU0adJE39XhnXfewZYtW/DTTz/ByclJ/+ugi4sLpFL6PNoTlUqFF198Eb169cJ3331n0jrLly/HypUrsWnTJrRu3RpLly5FREQEMjIy6nSuF3tU2/bo5MmTyM3NRdu2bU3a3/nz58Hj8Yx+Ia9pm1S2Pbp58ybS0tLg7u6uH0Rm7dq1SEhIwKFDhwAA0dHRmDBhArp27YpevXph48aNyMrKwrRp0wAAM2bMwJAhQzBs2DAAJXPsBAUFmfU5i+oo7S7lJBGCuRp2MS8dvjZPoQYHDg5iPpwlQjhLBRAJqp6XidgvSixMwGmeGhpQQLcIiXUtWbIE3t7eiIuLw40bN+Dq6orOnTvj448/LlfW2dkZycnJWLVqFeRyOQICArBixQoMGTIEALBp0ya88cYbVT6ztHTpUnz44Yf44osvEB0djRUrVtTZsZw5cwYDBgzQvy791fK1117Tz09TOmxjeHi4wbrx8fGYOHFindWF2L7SCVU3bdpkUnnGGFatWoW5c+fqhxDdvHkzfHx8sGXLFrz55pvmqqrdqG17tGTJEpPbo/Pnz+uHoTeHsu1R6V3d119/XX/O5ebm4vr16/oyY8eOxcOHD7F48WJkZ2ejQ4cO2LdvHwICArBnzx4cPnwYly9fNthPcHCwzSQWTyv7bIXnP8PXypVqKNVaFBRrUFCswd28ki5VLbwcwefR8xjEEMfsaIxFuVwOFxcX5OXlVethsZfmrsb+z2dCIuBw/8IR8FqYdsvXnqjVauzbtw9Dhw41+8zbN2/eRLNmzerdzNs6nQ5yuRzOzs42M7lfTEwMkpKSkJSUZO2qALDNGNkaYzGq6jNS0zbQ1mzatAkzZ8402hXqxo0baNGiBc6ePWvQfeb555+Hq6trpZOrFhcXo7j4yZ1quVyOJk2aIDc3t1zclEolbt++jcDAQIN4G5shnZSP0aJFi3D06FEcPnzY2lWzKbZwLqm0OuQrNZArNChSaSEW8NDS+8nzPg8LVRDyeXAUC/B0rqFUKpGZmYkmTZqY9ZqtVquRmJiIiIgImgi0ErWJkVwuh6enp0nXDrpjYQJXvhoFKkClZeCJaII80nD8+uuvWL16tbWrQYhZlHabq2g40Fu3blW6XlxcnP7uyNMOHjwImczwGiAQCODr64uCggKoVKpy6+Tn59ek6nalNEb79+9HXFwc5HK5lWtkm6x9LgkBeIgAVwGgZVr9v5OOAfcKAQaAAyDmAxI+IOUDOo0KCoUCycnJ0Gg0Zq9jYmKi2fdR39UkRkVFlcyzUwFKLEzQ1U+IbwBIBAAENCwUaThOnjxp7SoQOxcTE1Phl/innT59ulZDAxsbDrSsOXPmGAxuUHrHIjIystI7Fo6OjnTHoprKxujUqVPWrpJNsvVzSatj8OBUyFeqSyYU1gJKLfAYgEDHg44nRFhYGN2xsLLa3rEwFSUWJujWqOTDIBVw9PA2IYTUoaioKIwbN67KMlXNWVAVX19fACV3Lvz8/PTLyw4HWpZYLK5wuFShUFjugqzVasFxHHg8nkHXtNKhWEvfI+VRjExj63Hi8QB/VykAKYrVWuQXayBXqFGo0kKt04HhyWcnt6AYCWf/Qv82Xmjl7VjniVJFn1FiqCYxqk55SixMoCgquf0oEQkAR28r14YQQhoOT09PeHp6mmXbzZo1g6+vLxITE/XPWKhUKhw9ehTLli0zyz4JsWdiIR9iIR+ejmJodQyP5AXILnzyVfNoxgN8su8yPtl3GX4uEvRr5Ymw1l7o08ITbg7mnTCQWIbtpb42qLioEAAgEYsAiYuR0oQQQswhKysLaWlpyMrKglarRVpaGtLS0lBQUKAv07ZtWyQkJAAo+YV35syZiI2NRUJCAi5duoSJEydCJpPh5ZdfttZhEGIX+DwOjhIhBE89ze3hKEJYay+IBTxk5ynx45k7iNpyDp2XJuL5r37D5Wx6vqa+ozsWJlAqShILqYjCRQgh1rJgwQKDkZxK70IcOXJEPxxxRkYG8vLy9GVmz54NhUKBt99+Wz9B3sGDB2kOC0KsILyNN8LbeEOp1uL3m38j+eoDHLuWi4z7+Th/+zG8nJ50Qdx3MRt3HyvQr5UXWvvUfbcpYh70TdkEjkId+jblo0VjB4AxgE5uQgixuE2bNhmdw6LsCOocxyEmJgYxMTHmqxghpFokQj7CWnshrLUXAOBenhJptx/D0/FJYvHDqVs4cf0hgMvwdBSjdwsP9G3pid4tPdDYjUbotFWUWJigd0tPHHvDAQwFxgsTQgghhBCT+bpIMNjF12BZZDsfCPg8/H7zIXILivHz+bv4+fxdAECQnzP2zehLdzFsECUWplCVdIUCx6e7FYQQQgghZjaxTzNM7NMMxRotzt56jBPXc/Hbn7k4fycPvs5ig6Ri6r/PQpPHA3fpHvq08oaHI00NYC2UWJhC/c+dCh7fuvUghBBCCLEjYgEfvVp4oFcLD7wX2QYFxRo8KnwyGWV2ngJJV3MB8HB8+wUAQGsfR/Rs7oGezT3Qo5k7JRoWRKNCmWDj3lT4rcjHjH2mzzxIiK3btGkTXF1drV2NagsPD8fMmTOtXQ1cuXIFPXv2hEQiQWhoKDIzM8FxHNLS0sy+bzc3N+zevdvs+yHEUqg9qh1rtkccx1m0PXIUC9DE/ckzFq5SEb4aH4IwXx1aezsCAK7eL8C/Tt7C2/85ixWJV/Vl1Vod7uUpLVZXe0R3LEzwSF6AewUMBWrqBkVqLicnBx999BEOHz6M+/fvw83NDSEhIYiJiUGvXr0AlDTQCQkJGDlypHUra8N27dplExMgLVy4EA4ODsjIyICjoyNcXV2RnZ1ttjkZCKlLOTk5mD9/Pvbv30/tUS1Qe2R9UhEfke18oMnUYejQ3pAX6/D7zb+RcvNvnLrxEL2ae+jLXriThzHrTyDAQ4Zuge7oHuiObs3cEegho+c16gglFiZQKkuyW4mQukKRmnvxxRehVCoRHx+Pli1b4v79+zh06BD+/vtva1etXnF3d7d2FQAA169fx7BhwxAQEKBfVjrTMyG2bsyYMVCr1di8eTOaN29O7VENUXtkezwcxRgS7IchwX7l3vszJx88Drj1sAi3HhZhR+odAICXkxjdAt3wVv+WCG5M85XVBnWFMkFxcUlfPomIEgtbVlhYWOlfaXJoSlmFQmFS2ep4/Pgxjh8/jpiYGAwYMAABAQHo3r075syZg2HDhgEAAgMDAQCjRo0Cx3H61wDwyy+/oEuXLpBIJGjevDkWLVoEjUajf3/lypUIDg6Gg4MDmjRpgrfffttg0jCgpKtB06ZNIZPJMGrUKDx8+FD/XmZmJng8Hs6cOWOwzpo1axAQEFBuCM9S69atQ6tWrSCRSODj44MXXnhB/x5jDMuXL0fz5s0hlUoREhKCHTt26N9PSkoCx3H49ddf0alTJ0ilUgwcOBAPHjzA/v37ERQUBGdnZ4wfPx5FRU+6IZrS9eDx48f4v//7P/j4+EAikaBDhw7Ys2eP/v2dO3eiffv2EIvFCAwMxIoVKwzWDwwMRGxsLCZNmgQnJyc0bdoUGzdu1L/PcRxSU1OxePFi/XCmZbselB7foUOH0LVrV8hkMvTu3RsZGRkG+zL2b3vt2jWEhYVBIpGgXbt2SExMrPLYiW2oD+3RsmXLrNoeBQYGwt/fH6NHj7bJ9uiZZ55BTk6O1duj5s2bY8WKFZg8eTK1R7U0tltTpC2MRPwb3fB2eAt0C3SDiM/Dg/xi7Lt4DyqtTl/2xJ+5WPW/qzh+LReFxZoqtkoMMDuSl5fHALC8vLxqrTcjsgUDwOaMCjFPxRoAlUrFdu/ezVQqlVn3o1AoWHp6OlMoFOXeA1Dp39ChQw3KymSySsv279/foKynp2eF5apDrVYzR0dH9tZbb7GioqIKy+Tk5DAALD4+nmVnZ7OcnBzGGGMHDhxgzs7ObNOmTez69evs4MGDLDAwkMXExOjX/eKLL9jhw4fZjRs32KFDh1ibNm3YW2+9pX//1KlTjOM4FhcXxzIyMtjq1auZq6src3Fx0ZeJiIhgb7/9tkGdOnXqxBYsWFBhfU+fPs34fD7bsmULy8zMZGfPnmWrV6/Wv//xxx+ztm3bsgMHDrDr16+z+Ph4JhaLWVJSEmOMsSNHjjAArGfPnuz48ePs7NmzrGXLlqxPnz4sIiKCnT17liUnJzMPDw/26aef6rfbv39/9u6771Yaa61Wy3r27Mnat2/PDh48yK5fv85++eUXtm/fPsYYY2fOnGE8Ho8tXryYZWRksPj4eCaVSll8fLx+GwEBAczd3Z199dVX7Nq1aywuLo7xeDx2+fJlxhhj2dnZrH379uy9995j2dnZLD8/n928eZMBYOfOnTM4vh49erCkpCT2xx9/sH79+rHevXvr92Ps31ar1bIOHTqw8PBwdu7cOXb06FHWqVMnBoDt3LmzwuOv6jNS0zbQ3lUVt8riXR/ao5kzZzKlUllhGUu0R7Gxsez06dNs1apVNtse9e/fn0VGRlq9PXJzc2Nr16612fYoISGhwuOvqj2qS7X5DqJQaVjKjYds7eFrrFit1S//eNcFFvDhHhbw4R7W7KM9bOjqZDZ/90W2+9wdlvWwkOl0uro8BLOrTYyqc+2gxMIEUyPaMgAs5s1RZqpZ/UeJhXE//vgjc3V1ZRKJhPXu3ZvNmTOHnT9/vtwxlG2g+/Xrx2JjYw2W/fvf/2Z+fn5V7svDw0P/evz48Wzw4MEGZcaOHWtwId++fTtzc3PTf9FIS0tjHMexmzdvVriPnTt3MmdnZyaXy8u9V1BQwCQSCTtx4oTB8smTJ7Px48czxp5c6P73v//p34+NjWUA2LVr1/TL3nzzTTZo0CD9a2MX8l9//ZXxeDyWkZFR4fsvv/wyi4iIMFj2wQcfsHbt2ulfBwQEsFdffVX/WqfTMW9vb7Z+/Xr9spCQELZw4UL968ou5E8f3969exkA/flr7N/2119/ZXw+n92+fbvcNiixsJyGllgwxtiOHTuYm5ubVdsjrVbLHj16xLRarU22R3FxcQwAu379un6Ztdqjl156iWm1JV96bak92r9/f71PLCqz5/xdNmPrWdY77pA+wXj6L0f+JCnPfqxgCpWmzvZtDpZKLOgZCxMofLoCuAJxYHdrV4VUoeyt9qfx+Ybd2HJycioty+MZ9hDMzMysVb1KjRkzBv369cP58+eRkpKCAwcOYPny5fj2228xceLEStdLTU3F6dOn8cknn+iXabVaKJVKFBUVQSaT4ciRI4iNjUV6ejrkcjk0Gg2USiUKCwvh4OCAy5cvY9SoUQbb7dWrFw4cOKB/PXLkSERFRSEhIQHjxo3D999/jwEDBhh0gXhaREQEAgIC0Lx5cwwePBiDBw/GqFGjIJPJkJ6eDqVSiYiICIN1VCoVOnXqZLCsY8eO+v/39vaGTCZD8+bN9ct8fHzw+++/V1iH2NhYxMbG6l+np6cjLS0NjRs3RuvWrStc5/Lly3j++ecNlvXp0werVq2CVqvVnytP14vjOPj6+lZ53lTm6e34+ZX0+c3JyUHTpk2N/ttevnwZTZs2RePGjfXvlz5YS2ybXC6HXC6Hs7NzuTbFVtqjYcOG4dixYzh58iS1R/94+vPq4+NjM+1R+/bt9e9Te2QZwzr6YVjHkhhl5ylw9tZjnLn1N87eeoR8pQZeTk+GsP1gx3mk3Pgb7fyd0ampKzo3dUNoE1c0dpPa3UPhlFiYoLG3K1o29YOvMz1jYcscHBysXtYYiUSCiIgIDBo0CAsWLMCUKVOwcOHCKi/kOp0OixYtwujRoyvc3q1btzB06FBMmzYNS5Ysgbu7O44fP47JkydDrVYDQKV9kp8mEokwYcIExMfHY/To0diyZQtWrVpVaXknJyecPXsWSUlJOHjwIBYsWICYmBicPn0aOl1JP9W9e/eiUaNGBuuJxYbjiT89ogrHcRAIDJsljuP02ytr2rRpeOmll/Sv/f39IZVKqzxOxli5hr6i+JQd6aWqelSl7PEB0G/H2L9tRfWyt4tUfeXg4ACtVgsHB4dyyUFFZauz3bpS2h5FRERQe/SPsp/X6rQD1B41XH4uUgzrKNUnGlrdk1gwxvDXIwVUWh3Sbj9G2u3HiP8tEwDg6ShGWCtPrBwbaoVaWwclFiZYOqol4pwKofO+Yu2qkAamXbt2BuN/C4VCaLVagzKdO3dGRkYGWrZsWeE2zpw5A41GgxUrVui/wPz444/l9nPq1CmDZWVfA8CUKVPQoUMHrFu3Dmq1usILzNMEAgEGDhyIgQMHYuHChXB1dcXhw4cREREBsViMrKws9O/fv8pt1Ia7u3u5UVk6duyIO3fu4OrVqxX+StiuXTscP37cYNmJEyfQunXrcr8km5uxf9t27dohKysLd+/ehb+/PwDg5MmTlqwisSPUHtUOtUf2g897klBxHIdD7/XH7b8VOHf7Ec7eeoRztx8j/a4cuQXFuJ9vOFjDG/G/w8tJjJAmrghp7Io2vk4Q8hvOWEqUWJhCU1zyXz7N3Ehq5uHDh3jxxRcxduxY9OjRAy4uLjhz5gyWL19ucBs8MDAQhw4dQp8+fSAWi+Hm5oYFCxZg+PDhaNKkCV588UXweDxcuHABFy9exNKlS9GiRQtoNBqsWbMGzz33HH777Tds2LDBYP8zZsxA7969sXz5cowcORIHDx406HZQKigoCD179sSHH36ISZMmVflr2549e3Djxg2EhYXBzc0N+/btg06nQ5s2beDk5IT3338fs2bNgk6nQ9++fSGXy3HixAk4Ojri9ddfr7vgltG/f3+EhYVhzJgxWLlyJVq2bIkrV66A4zgMHjwY7733Hrp164YlS5Zg7NixOHnyJNauXYt169aZrU6VMfZvO3DgQLRp0wavvfYaVqxYAblcjvnz51u8nqRhKW2PJk2ahI4dO8LJyckq7dFnn32GZ599Vt8VqyxqjyyrJu3R3LlzLV5PW8RxHJp6yNDUQ4bnQ0vuiinVWlz6K8+g3N+FKhzJeAAA+PFMyVC3YgEP7f2dEdLEFf1beyG8jbdlK1/HGk6KZE7qkmyTCau+pUlIZRwdHdG9e3esX78e4eHh6NChA+bPn4+pU6di7dq1+nIrVqxAYmIimjRpou/7O2jQIOzZsweJiYno1q0bevbsiZUrV+rHKw8NDcXKlSuxbNkydOjQAf/5z38QFxdnsP+ePXvi22+/xZo1axAaGoqDBw9i3rx5FdZ18uTJUKlUmDRpUpXH5Orqil27duGZZ55BUFAQNmzYgK1bt+r7Ai9ZsgQLFixAXFwcgoKCMGjQIPzyyy9o1qxZjeNoqp07d6Jbt24YP3482rVrh9mzZ+t/ee3cuTN+/PFHbNu2DR06dMCCBQuwePHiKrt/mIuxf1sej4eEhAQUFxeje/fumDJlCpYsWWLxepKGxdHRET169MAXX3yBsLAwq7VHa9euRVhYGLVH9bg9evp5DGJIIuSja6A7ugY+uYslE/HxzWtd8c6AFujb0hNOEgGKNTqczSrpPnUw/b6+bLFGi2UHrmD/xWzceVRkUhdCW8Cx+lLTOiCXy+Hi4oK8vDw4OzubvJ72wMfgn/oK2p7vgD841vgKdkitVmPfvn0YOnSoWWchVSqVuHnzJpo1awaJRGK2/ZiDTqer9GFOW/LJJ59g27ZtuHjxosX3XV9iZE3GYlTVZ6SmbaC9qypulcWbzmXjTImRNdsjW1GfzyVLXbMt9R2krul0DDcfFuLCncc4fzsP/Vp54tkgHwBA2u3HGPnVb/qyHg4idGjkgo6NXdChkQs6N3UzeIDcmNrEqDrXDuoKZQp9V6j69UWWkOooKCjA5cuXsWbNGvpVnBBiVdQeEXvA43Fo4eWIFl6OGNWpscF7DiI+xndvggt38pBxLx8PC1U4evUBjl4t6Ur18dC2+L+wFgCAB/nFSL31CB0aOaORq3VHoqLEwgSc5p8Hb4SUWJCGKyoqClu3bsXIkSONdjsghBBzovaI2LtWPk6IG10yPLBSrcWVe/m4eOcxLtzJw8W/8hDS2FVf9sT1XLy7LQ0A4CYTokMjF7T3d0F7f2d0aOSCAHeZxepNiYUpShMLAT28TRquTZs2YdOmTdauBiGEUHtEyFMkQj5Cm7gitIlrhe/zeRyC/Jxx7X4+HhWpcexaLo5dy9W///WELnimtYdF6kqJhQl0Qc8j4yHQqnEPa1eFEEIIIYQQveEd/TG8oz+KNVpcvVeAi3/l4Y+7ebh0V47L2XJ0aORisbrUm8QiMDAQt27dMlj24Ycf4tNPPzX7vlnrIbj6J0PLRl3Mvi9iGjsac4CQaqHPhnVQ3Akpjz4XliUW8BHc2AXBjZ8kEhqtDnweB41GY5E61JvEAgAWL16MqVOn6l87OjpasTbEGkpHMigqKjI6oykh9qioqAhA+Zl6iXlQm0RI5VQqFQBYfLI/8oTAwpPv1avEwsnJCb6+viaXLy4uRnFxsf61XC4HUDLkllqtNnk7pWWrs469sWSMnJyccP/+feh0OshkMquOflAdjDGoVCooFIp6U2dLoxgZV1mMGGMoKirCgwcP4OzsDJ1OB51OZ7AutWF1j8/nw9XVFTk5OQCgb5N0Oh1UKhWUSmW9GyLUUihGpqmvcdLpdHjw4AFkMhkEgnr1dZPUQr36l162bBmWLFminxXygw8+gEgkqrR8XFwcFi1aVG75wYMHIZNV/wn5xMTEaq9jbywVIycnJxQWFtarRpYQc9PpdMjPz8e1a9cqfL/0bgapW6U/eJUmF0BJoqdQKCCVWnfoR1tGMTJNfY4Tj8dD06ZN6129Sc3Vm8Ti3XffRefOneHm5obff/8dc+bMwc2bN/Htt99Wus6cOXMQHR2tfy2Xy9GkSRNERkZWa3IotVqNxMREREREUPeCSlgjRlqtFhqNpt704dRoNDhx4gR69+5Nv95UgmJkXGUx4jgOAoGgyi4HpXdtSd3iOA5+fn7w9vY2uHubnJyMsLAwum5UgmJkmvocJ5FIRD8A2hmrXrljYmIqvKPwtNOnT6Nr166YNWuWflnHjh3h5uaGF154AcuWLYOHR8VDaInFYojF5YeIFQqFNfpw1nQ9e2LJGNW3fwu1Wg2NRgNHR8d6V3dLoRgZV5sYUUzNi8/n6xM7Pp8PjUYDiURCca8Excg0FCdSn1g1sYiKisK4ceOqLBMYGFjh8p49ewIA/vzzz0oTC0IIIQ3HJ598gr179yItLQ0ikQiPHz+usrxarca8efOwb98+3LhxAy4uLhg4cCA+/fRT+Pv7W6bShBBiR6yaWHh6esLT07NG6547dw4A4OfnV5dVIoQQYqNUKhVefPFF9OrVC999953R8kVFRTh79izmz5+PkJAQPHr0CDNnzsSIESNw5swZC9SYEELsS73oxHzy5EmcOnUKAwYMgIuLC06fPo1Zs2ZhxIgRaNq0qbWrRwghxAJKu86aOiOzi4tLuQEl1qxZg+7duyMrK6vS60ddjChIowkaRzEyDcXJOIqRcbWJUXXWqReJhVgsxvbt27Fo0SIUFxcjICAAU6dOxezZs6u1ndKHfKv7AKNarUZRURHkcjn1b6wExcg4ipFxFCPjahOj0ravvgx4YA55eXngOA6urq6VlqlsRMHdu3dXe0TBn376qbpVtDsUI9NQnIyjGBlXkxiVjihoyrWDY3Z0hblz5w6aNGli7WoQQohV3b59G40bN7Z2NWps06ZNmDlzptFnLMpSKpXo27cv2rZtix9++KHScmXvWPz1119o165dTatLCCENginXjnpxx6Ku+Pv74/bt23BycqrWmMqlw9Tevn27WsPU2hOKkXEUI+MoRsbVJkaMMeTn59vUg8vVGR2wNtRqNcaNGwedTod169ZVWbbsiIKOjo7VvnbQuWwcxcg0FCfjKEbGWeraYVeJBY/Hq9WvdM7OznTCGkExMo5iZBzFyLiaxsjFxcUMtam52owOaCq1Wo2XXnoJN2/exOHDh6sdt9pcO+hcNo5iZBqKk3EUI+PMfe2wq8SCEEKIbanN6ICmKE0qrl27hiNHjtDw5IQQYkY0HSIhhJB6ISsrC2lpacjKyoJWq0VaWhrS0tJQUFCgL9O2bVskJCQAKJml/IUXXsCZM2fwn//8B1qtFvfu3cO9e/egUqmsdRiEENJg0R0LE4jFYixcuLDCWbxJCYqRcRQj4yhGxtlzjBYsWIDNmzfrX3fq1AkAcOTIEYSHhwMAMjIykJeXB6BkwI6ff/4ZABAaGmqwrafXMQd7/ncyFcXINBQn4yhGxlkqRnY1KhQhhBBCCCHEPKgrFCGEEEIIIaTWKLEghBBCCCGE1BolFoQQQgghhJBao8SCEEIIIYQQUmuUWJhg3bp1aNasGSQSCbp06YJjx45Zu0r12rx58yAWi/Hyyy9buyoWZa/HbS4UT4qBtVX32nD06FF06dIFEokEzZs3x4YNGyxUU+upToySkpLAcVy5vytXrliwxpaVnJyM5557Dv7+/uA4Drt37za6jj2eR9WNk72dS3FxcejWrRucnJzg7e2NkSNHIiMjw+h6ZjmXGKnStm3bmFAoZN988w1LT09n7777LnNwcGC3bt2ydtXM7quvvmKBgYFMLBazzp07s+Tk5CrLL1y4kAEw+PPx8SlXLi8vj61du5YBYNeuXTNX9W2OPR730aNH2fDhw5mfnx8DwBISEoyuQ+dRidjYWNa1a1fm6OjIvLy82PPPP8+uXLliUKahx8CWVffacOPGDSaTydi7777L0tPT2TfffMOEQiHbsWOHhWtuOdWN0ZEjRxgAlpGRwbKzs/V/Go3GwjW3nH379rG5c+eynTt3mtRG2uN5xFj142Rv59KgQYNYfHw8u3TpEktLS2PDhg1jTZs2ZQUFBZWuY65ziRILI7p3786mTZtmsKxt27bso48+slKNLKMmCdXChQtZ+/btDT7EOTk5FZYtKipiPB6P7dq1y1yHYJPs7birezFgjM6jUqZeKBpyDGxZda8Ns2fPZm3btjVY9uabb7KePXuarY7WVt0YlX4ZfPTokQVqZ3tMaSPt8TwqqzqJhb2eSzk5OQwAO3r0aKVlzHUuUVeoKqhUKqSmpiIyMtJgeWRkJE6cOGGlWlnGypUrMXnyZEyZMgVBQUFYtWoVmjRpgvXr11e5nkAggK+vr/7Py8urwnIajQYymQyXLl0yR/Vtlr0d95AhQ7B06VKMHj26WuvReQQcOHAAEydORPv27RESEoL4+HhkZWUhNTXVoFxDjoGtqsm14eTJk+XKDxo0CGfOnIFarTZbXa2lNtfPTp06wc/PD88++yyOHDlizmrWO/Z2HtWWvZ5LpZOEuru7V1rGXOcSJRZVyM3NhVarhY+Pj8FyHx8f3Lt3z0q1Mr/aXBCuXbsGf39/NGvWDOPGjcONGzcqLDdv3jwUFBTY3Zchez3u6qLzqLzKLhT2FANbUZNrw7179yosr9FokJuba7a6WktNYuTn54eNGzdi586d2LVrF9q0aYNnn30WycnJlqhyvWBv51FN2fO5xBhDdHQ0+vbtiw4dOlRazlznkqDGa9oRjuMMXjPGyi1rSGqaUPXo0QP/+te/0Lp1a9y/fx9Lly5F79698ccff8DDw0NfLjU1FRs2bMCwYcPs6suQvR53ddF5VF5lFwp7ioEtqu61oaLyFS1vSKoTozZt2qBNmzb617169cLt27fx+eefIywszKz1rE/s8TyqLns+l6KionDhwgUcP37caFlznEt0x6IKnp6e4PP55b5M5+TklPvS3RBV96I5ZMgQjBkzBsHBwRg4cCD27t0LANi8ebO+jE6nw5tvvomoqCi89tpruHr1KlQqlXkOwIbY63HXBJ1H5ZVeKLZu3apfZm8xsCU1uTb4+vpWWF4gEBgkzA1FXV0/e/bsiWvXrtV19eotezuP6pI9nEvTp0/Hzz//jCNHjqBx48ZVljXXuUSJRRVEIhG6dOmCxMREg+WJiYno3bu3lWplfnV1QXBwcEBwcLDBB3nNmjV48OABFi9ejODgYGg0GpOGRKvv7PW464K9n0eVXSjsKQa2pibXhl69epUrf/DgQXTt2hVCodBsdbWWurp+njt3Dn5+fnVdvXrL3s6jutSQzyXGGKKiorBr1y4cPnwYzZo1M7qO2c6lWj36bQdKR0f67rvvWHp6Ops5cyZzcHBgmZmZ1q6aWXXv3p299dZbBsuCgoKqNRqWUqlkjRo1YosWLWKMMXbnzh3m5OTE9uzZwxhjTK1WM7FYzLZs2VJ3FbdB9nrcZcHEUaHKstfzSKfTsXfeeYf5+/uzq1evGrxnLzGwZcauDR999BGbMGGCvnzp0I6zZs1i6enp7Lvvvmvww4RWN0ZffPEFS0hIYFevXmWXLl1iH330EQPAdu7caa1DMLv8/Hx27tw5du7cOQaArVy5kp07d04/AiOdRyWqGyd7O5feeust5uLiwpKSkgxGVCwqKtKXsdS5RImFCb766isWEBDARCIR69y5c5XDdzUUxi4Ia9asYc8884zBOu+99x5LSkpiN27cYKdOnWLDhw9nTk5O+nVGjx7NXnrpJYN1QkND2ccff2yZg7ISez1uxoxfDOg8qlxVFwp7iYGtq+ra8Prrr7P+/fsblE9KSmKdOnViIpGIBQYGsvXr11u4xpZXnRgtW7aMtWjRgkkkEubm5sb69u3L9u7da4VaW07psKhl/15//XXGGJ1HpaobJ3s7lyqKDQAWHx+vL2Opc4kSC1Kpqi4ICxcuZAEBAQblx44dy/z8/JhQKGT+/v5s9OjR7I8//mCMMfbLL78wV1dXlp2dbbDOhAkT2IgRI8x+LNZir8ddytjFgM6jylV2oVizZo3dxIAQQkj9wjH2zyPghBBCCCGEEFJD9PA2IYQQQgghpNYosSCEEEIIIYTUGiUWhBBCCCGEkFqjxIIQQgghhBBSa5RYEEIIIYQQQmqNEgtCCCGEEEJIrVFiQQghhBBCCKk1SiwIIYQQQupIUlISOI7D48ePrbL/w4cPo23bttDpdJWWiYmJQWhoqP71+++/jxkzZligdqSho8SCEDNRqVRo2bIlfvvtt1pthxp8QgixTeHh4Zg5c6bBst69eyM7OxsuLi5WqdPs2bMxd+5c8Himf8WbPXs24uPjcfPmTTPWjNgDSiwIMZONGzciICAAffr0qdV2qMEnhJD6QyQSwdfXFxzHWXzfJ06cwLVr1/Diiy9Waz1vb29ERkZiw4YNZqoZsReUWBBSCyqVqtL31qxZgylTptR6H9TgE0KI7Zk4cSKOHj2K1atXg+M4cByHzMzMcl2hNm3aBFdXV+zZswdt2rSBTCbDCy+8gMLCQmzevBmBgYFwc3PD9OnTodVq9dtXqVSYPXs2GjVqBAcHB/To0QNJSUlV1mnbtm2IjIyERCIxWP7pp5/Cx8cHTk5OmDx5MpRKZbl1R4wYga1bt9Y6LsS+UWJBSDWEh4cjKioK0dHR8PT0RERERIXlzp49iz///BPDhg3TL8vMzATHcfjxxx/Rr18/SKVSdOvWDVevXsXp06fRtWtXODo6YvDgwXjw4IHB9qjBJ4QQ27J69Wr06tULU6dORXZ2NrKzs9GkSZMKyxYVFeHLL7/Etm3bcODAASQlJWH06NHYt28f9u3bh3//+9/YuHEjduzYoV/njTfewG+//YZt27bhwoULePHFFzF48GBcu3at0jolJyeja9euBst+/PFHLFy4EJ988gnOnDkDPz8/rFu3rty63bt3x+3bt3Hr1q0aRoQQSiwIqbbNmzdDIBDgt99+w9dff11hmeTkZLRu3RrOzs7l3lu4cCHmzZuHs2fPQiAQYPz48Zg9ezZWr16NY8eO4fr161iwYIHBOtTgE0KIbXFxcYFIJIJMJoOvry98fX3B5/MrLKtWq7F+/Xp06tQJYWFheOGFF3D8+HF89913aNeuHYYPH44BAwbgyJEjAIDr169j69at+O9//4t+/fqhRYsWeP/999G3b1/Ex8dXWqfMzEz4+/sbLFu1ahUmTZqEKVOmoE2bNli6dCnatWtXbt1GjRrpt0FITQmsXQFC6puWLVti+fLlVZapqHEv9f7772PQoEEAgHfffRfjx4/HoUOH9M9iTJ48GZs2bTJY5+kGPyAgoJZHQAghxJJkMhlatGihf+3j44PAwEA4OjoaLMvJyQFQctebMYbWrVsbbKe4uBgeHh6V7kehUJTrBnX58mVMmzbNYFmvXr30SUwpqVQKoOTuCiE1RYkFIdVU9jZzRSpq3Et17NhR//8+Pj4AgODgYINlpReXUtTgE0JI/SUUCg1ecxxX4bLSIWJ1Oh34fD5SU1PL3QV5Ohkpy9PTE48ePapRHf/++28AgJeXV43WJwSgrlCEVJuDg4PRMlU17k9fTEpHDSm7rOz449TgE0KI7RGJRAYPXNeVTp06QavVIicnBy1btjT48/X1rXK99PR0g2VBQUE4deqUwbKyrwHg0qVLEAqFaN++fd0cBLFLlFgQYgadOnXClStXwBirk+1Rg08IIbYnMDAQKSkpyMzMRG5ubpWT0lVH69at8corr+C1117Drl27cPPmTZw+fRrLli3Dvn37Kl1v0KBBOH78uMGyd999F99//z2+//57XL16FQsXLsQff/xRbt1jx47pBxYhpKYosSDEDAYMGIDCwsIKG++aoAafEEJsz/vvvw8+n4927drBy8sLWVlZdbbt+Ph4vPbaa3jvvffQpk0bjBgxAikpKZWOPAUAr776KtLT05GRkaFfNnbsWCxYsAAffvghunTpglu3buGtt94qt+7WrVsxderUOqs/sU8cq6ufVAmxA+Hh4QgNDcWqVauMlh0/fjwCAwMRFxcHoOTB62bNmuHcuXMIDQ0FACQlJWHAgAF49OgRXF1dAZSMeT5z5kz9GOgA0KZNGyxatAjjxo2r4yMihBDSkMyePRt5eXmVjlpYkb179+KDDz7AhQsXIBDQ47ek5iixIMRMLl68iIEDB+LPP/+Ek5NTjbdDDT4hhBBT5eXl4auvvsKHH35Y6fC3Zf34448ICAhAjx49zFw70tBRYkGIGW3evBmdO3c2GPWpuqjBJ4QQQkh9QIkFIYQQQgghpNbo4W1CCCGEEEJIrVFiQQghhBBCCKk1SiwIIYQQQgghtUaJBSGEEEIIIaTWKLEghBBCCCGE1BolFoQQQgghhJBao8SCEEIIIYQQUmuUWBBCCCGEEEJqjRILQgghhBBCSK39PzbTQGfKX6nHAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot\n",
    "from scipy.special import k0\n",
    "fig = plt.figure(figsize=diagrams_2d.figdef2)\n",
    "plt.subplot(121)\n",
    "r = np.linspace(rw, 2 * lab, 100)\n",
    "for t, color in zip([2, 12], ['C0', 'C1']): # 1 hour and 6 hours\n",
    "    plt.plot(r / lab, hantushvec(r, t / 24, T, S, c, Q), color, label=f'Hantush, $t=${t} hr')\n",
    "    plt.plot(r / lab, theis(r, t / 24, T, S, Q), '--', label=f'Theis, $t=${t} hr')\n",
    "plt.plot(r / lab, -Q / (2 * np.pi * T) * k0(r / lab), 'k--', label='Steady semi-confined')\n",
    "plt.xticks([0, 0.5, 1, 1.5, 2], ['0', '0.5$\\\\lambda$', '$\\\\lambda$', '1.5$\\\\lambda$', '2$\\\\lambda$'])\n",
    "plt.xlabel('r (m)')\n",
    "plt.ylabel('head (m)')\n",
    "plt.title('(a)', loc='left')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "#\n",
    "plt.subplot(122)\n",
    "t = np.linspace(0.01, 2, 100)\n",
    "for r, color in zip([lab / 2, lab], ['C0', 'C1']):\n",
    "    plt.plot(t, hantushvec(r, t, T, S, c, Q), color, label=f'Hantush, $r=${r / lab:.1f}$\\\\lambda$')\n",
    "    plt.plot(t, theis(r, t, T, S, Q), '--', label=f'Theis, $r=${r / lab:.1f}$\\\\lambda$')\n",
    "plt.axhline(-Q / (2 * np.pi * T) * k0(lab / 2 / lab), color='k', ls='--', label='Steady semi-confined')\n",
    "plt.axhline(-Q / (2 * np.pi * T) * k0(lab / lab), color='k', ls='--')\n",
    "plt.xlabel('time (d)')\n",
    "plt.ylabel('head (m)')\n",
    "plt.title('(b)', loc='left')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.tight_layout()\n",
    "glue('fig_hantush', fig, display=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{glue:figure} fig_hantush\n",
    "---\n",
    "name: fig_hantush9.3\n",
    "---\n",
    "Comparison of a well in a semi-confined aquifer (Hantush) vs. a well in a confined aquifer (Theis); head vs. $r$ (left) and head vs. time (right).\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{exercise}\n",
    ":label: ex_98_RMSE_compute\n",
    "\n",
    "Consider a 7-hour pumping test in a leaky aquifer with discharge $Q = 24466$ m$^3$/d ({cite:ts}`usbr1995groundwater`, Texas Hill project, Table 9.5 ). The data in an observation well 24.38 m from the pumping well are given below. First, estimate the transmissivity and storage coefficient approximating the aquifer as confined. Next, estimate the transmissivity, storage coefficient, and resistance of the leaky layer approximating the aquifer as semi-confined. Compute the root-mean squared error, and make a graph of the fit for both models.\n",
    "\n",
    "<details>\n",
    "<summary><strong> Solution </strong></summary>\n",
    "\n",
    "Theis: $T = 4484$ m$^2$/d, $S = 0.0018$, $RMSE = 0.12$ m\\\n",
    "Hantush: $T = 3135$ m$^2$/d, $S = 0.0044$, $c = 25.2$ d, $RMSE = 0.02$ m\n",
    "\n",
    "<img src=\"figures_chap9/sol_ex_98.png\" width=300px align=center>\n",
    "\n",
    "</details>\n",
    "\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data Exercise 9.7\n",
    "t = np.array([2, 4, 6, 8, 10, 15, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100, \n",
    "              110, 120, 150, 180, 210, 240, 270, 300, 360, 420]) # minutes\n",
    "h = np.array([-0.94, -1.23, -1.54, -1.61, -1.82, -2.05, -2.18, -2.32, -2.43,\n",
    "              -2.55, -2.63, -2.72, -2.8 , -2.84, -2.89, -2.91, -2.94, -2.97,\n",
    "              -3.03, -3.07, -3.11, -3.13, -3.15, -3.17, -3.15, -3.18]) # m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; As an example, the solution for transient flow to a well that starts pumping at $t_0 = 0$ in a semi-confined aquifer is repeated here using a Laplace transform solution following the procedure explained in {numref}`content:chap5:laplace_transforms`. The same procedure is used to solve the transient flow problems in the next two sections. The Laplace-transform of the differential equation ({eq}`eq_deq_rad_sym_transient_flow_semi9.3`) is\n",
    "\n",
    "$$\n",
    "\\nabla^2 \\overline{h} = \\frac{Sp}{T}\\overline{h} + \\frac{\\overline{h}}{cT} = w\\overline{h}\n",
    "$$(eq_lap_tra9.3)\n",
    "\n",
    "where $\\overline{h}$ is the Laplace-transformed head, $p$ is the Laplace transform parameter, and\n",
    "\n",
    "$$\n",
    "w = \\frac{Scp + 1}{cT}\n",
    "$$(eq_w_lap_tra9.3)\n",
    "\n",
    "Boundary conditions ({eq}`eq_bctheis19.1`) and ({eq}`eq_bctheis29.1`) transform to\n",
    "\n",
    "$$\n",
    "\\lim_{r \\to 0} -2\\pi r \\overline{Q}_r = \\frac{Q}{p}\n",
    "$$(eq_bctrwelllap19.3)\n",
    "\n",
    "$$\n",
    "\\overline{h}|_{r=\\infty} = 0\n",
    "$$(eq_bctrwelllap29.3)\n",
    "\n",
    "The radial flow problem in the Laplace domain is mathematically analogous to a steady well in a semi-confined aquifer ({numref}`content:chap6.4:well_sem_con_aqu`), and the solution is\n",
    "\n",
    "$$\n",
    "\\overline{h} = -\\frac{Q}{2 \\pi T p} \\text{K}_0\\left(r\\sqrt{w}\\right)\n",
    "$$(eq_h_overline9.3)\n",
    "\n",
    "Back-transformation to the time domain is conducted numerically using the Stehfest algorithm (see {numref}`content:chap5:laplace_transforms`). The example below shows that the Hantush solution using numerical integration of Eq. ({eq}`eq_hhantush9.3`) is virtually the same as the solution obtained with the Laplace transform technique and the Stehfest algorithm ({numref}`Figure %s <fig_stehfest_comparison9.3>`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [],
   "source": [
    "from scipy.special import factorial as fac\n",
    "def stehfest_coef(M):\n",
    "    assert M % 2 == 0, 'M must be even'\n",
    "    M2 = int(M / 2)\n",
    "    V = np.zeros(M)\n",
    "    for k in range(1, M + 1):\n",
    "        z = np.zeros(min(k, M2) + 1)\n",
    "        for j in range(int((k + 1) / 2), min(k, M2) + 1):\n",
    "            z[j] = j ** M2 * fac(2 * j) / \\\n",
    "            (fac(M2 - j) * fac(j) * fac(j - 1) * fac(k - j) * fac(2 * j - k))\n",
    "        V[k - 1] = (-1) ** (k + M2) * np.sum(z)\n",
    "    return V"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [],
   "source": [
    "def stehfest(x, t, func, M=12, **kwargs):\n",
    "    t = np.atleast_1d(t)\n",
    "    x = np.atleast_1d(x)\n",
    "    f = np.zeros((len(x), len(t)))\n",
    "    V = stehfest_coef(M)\n",
    "    for i in range(len(t)):\n",
    "        p = np.arange(1, M + 1) * np.log(2) / t[i]\n",
    "        for j in range(len(x)):\n",
    "            fbar = func(p, x[j], **kwargs)\n",
    "            f[j, i] = np.log(2) / t[i] * np.sum(V * fbar)\n",
    "    return f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Laplace transform solution\n",
    "def hbar(p, r, T, S, c, Q):\n",
    "    w = (S * c * p + 1) / (c * T)\n",
    "    return -Q / (2 * np.pi * T * p) * k0(r * np.sqrt(w))\n",
    "\n",
    "t = np.linspace(1e-3, 1, 100)\n",
    "h = stehfest(250, t, hbar, T=T, S=S, c=c, Q=Q) # stehfest func from Section 5.5\n",
    "h_hantush = hantushvec(250, t, T, S, c, Q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": [
     "remove-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# basic plot\n",
    "plt.plot(t, h[0], label='Stehfest')\n",
    "plt.plot(t, h_hantush, '--', label='Hantush')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "tags": [
     "remove-input",
     "remove-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "application/papermill.record/image/png": 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",
      "application/papermill.record/text/plain": "<Figure size 400x320 with 1 Axes>"
     },
     "metadata": {
      "scrapbook": {
       "mime_prefix": "application/papermill.record/",
       "name": "fig_stehfest_comparison"
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x320 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot\n",
    "fig = plt.figure(figsize=diagrams_2d.figdef1new)\n",
    "plt.subplot(111)\n",
    "plt.plot(t, h[0], label='Stehfest')\n",
    "plt.plot(t, h_hantush, '--', label='Hantush')\n",
    "plt.xlabel('time (d)')\n",
    "plt.ylabel('head (m)')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.tight_layout()\n",
    "glue('fig_stehfest_comparison', fig, display=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{glue:figure} fig_stehfest_comparison\n",
    "---\n",
    "name: fig_stehfest_comparison9.3\n",
    "---\n",
    "Comparison of Laplace transform solution with the numerical integration of the integral in the Hantush solution for a well in a semi-confined aquifer.\n",
    "```"
   ]
  }
 ],
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   "language": "python",
   "name": "python3"
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    "name": "ipython",
    "version": 3
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   "version": "3.13.7"
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   "cite_by": "apalike",
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   "hotkeys": {
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   "user_envs_cfg": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
