{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 1\n",
    "\n",
    "Consider a one-dimensional oscillator with potential $V(x) = \\frac{1}{p} k x^p$ (p even), subject to an external force $F_{ext}(t,x)$.\n",
    "Assume $m = 1$ (mass of the oscillator in some arbitrary unit) and $k = 39.48$\n",
    "For this physical system we can write the equation of motion as:\n",
    "\n",
    "\\begin{equation}\n",
    "F_k(x) + F_{ext}(t,x) = \\frac{d^2 x}{d t^2}, \n",
    "\\end{equation}\n",
    "\n",
    "where the restoring force $F_k$ on the R.H.S. is written as $F_k(x) = - dV/dx = - k x^{p-1}$.\n",
    "\n",
    "\\begin{enumerate}\n",
    "\n",
    "\\item Set $F_{Ext} = 0$ and integrate the equation of motion between $t=0$ and $t=4$, with initial conditions $[x,v] = [0,10]$. Repeat this for the two cases $p=2$ (linear harmonic oscillator) and $p=6$. Make plots of $t$ vs. $x(t)$ and $t$ vs $v(t)$, showing solutions for both values of $p$.\n",
    "\n",
    "\\item Calculate the total energy (kinetic + potential energy) as a function of time and show that it stays constant within\n",
    "an accuracy of at least $10^{-7}$. To this purpose, plot the quantity $( {E(t) - E(0) )/E(0)} )$. You get bonus points if you manage to get an accuracy $\\sim 10^{-11}$\n",
    "\n",
    "\\item For the $p=6$ non-linear oscillator case, check that the solution satisfies the virial theorem: $\\bar{E}_K = 3 \\bar{E}_P$, where $\\bar{E}_K$ and $\\bar{E}_P$ are respectively the kinetic and potential energy averaged over many oscillations. To improve accuracy repeat the ODE integration and take averages in the interval $[t=0,t=40]$ \n",
    "\n",
    "\\item Now include a time-dependent external force $F_{ext}(t) = F_0 \\sin(\\omega t)$ and solve again the equation in the time interval $[0,12]$, with the same initial conditions as before and $F_0 = 5$, $\\omega = 7$. Plot $t$ vs $x(t)$ for $p=2$, $p=4$ (you should see frequency beatings).\n",
    "\n",
    "\\item Do the same as in the previous point, but now choose $\\omega = 2 \\pi$. Bonus points if you provide a (short) physical interpretation of the behavior of the solutions in the resulting plot.\n",
    "\n",
    "\\end{enumerate}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import integrate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Fext_sin(t,F0,omegaext):\n",
    "    F = F0*np.sin(omegaext*t)\n",
    "    return F\n",
    "\n",
    "def Fext_const(t,c):\n",
    "    F = c\n",
    "    return F\n",
    "\n",
    "def osc(y,t,k,p,Fext):\n",
    "    # Position\n",
    "    x = y[0]\n",
    "    # Velocity\n",
    "    v = y[1]\n",
    "    # External force\n",
    "    F = Fext(t)\n",
    "    # Restoring force\n",
    "    Fk = -k*x**(p-1)\n",
    "    # Derivatives\n",
    "    f0 = v\n",
    "    f1 = F + Fk\n",
    "    return np.array([f0,f1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "kin = 39.48\n",
    "c = 0\n",
    "\n",
    "y0 = [0,10]\n",
    "\n",
    "#def harmonic(y,t): return osc(y,t,k=kin,p=2)\n",
    "#def nonlin(y,t): return osc(y,t,k=kin,p=6)\n",
    "\n",
    "dt = 0.01\n",
    "tmin = 0.\n",
    "tmax = 4\n",
    "times = np.arange(tmin,tmax,dt)\n",
    "\n",
    "pin = 2\n",
    "harmonic = integrate.odeint(osc,y0,times,rtol=1e-12,atol=1e-12,args=(kin,pin, lambda t: Fext_const(t,c)) )\n",
    "\n",
    "pin = 6\n",
    "nonlin = integrate.odeint(osc,y0,times,rtol=0.5e-13,atol=0.5e-13,args=(kin,pin, lambda t: Fext_const(t,c)))\n",
    "#nonlin = integrate.odeint(osc,y0,times,args=(kin,pin, lambda t: Fext_const(t,c)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MOT99jszJ7z5jAI2JmDTxpUrgcOatJ3SjrzWFibkcHt5uHCcRjQNLjWyAg4vwHK1je4D5cSCaAPpOZfOeyWag/3Ty+77qRR2dMpXO4devkmy8atYbypuP78JAWwqT85Y+ZM3YDpKinGgButawec+mTqDXaP99j7N5T4mY3b8VURQxorfjwjdtrPncjau7sLS9AVPpPB7cVqMPWwdI++vFxWn5OriFpC8vWe3f1UJZchx5v2KeLNgumM3k8f9eIbWnqlngKBtWdWJpewOm03nc/7uRms9lyp7HyP3QczLQtozNe3adALQvBwrZkngKKaQPSd0iGu+GLbcDXzvRCGYXhxI4nIlGNPzB6cS0+qtXLYOSxqVQS8di4qARCNx3OqmpwQrqt97vPzj74e2jyBaKWN3dhFOXttV8bjSi4Q/OGACAskKATDn8AnkcWOcvILuSlW8mj4twsd79MrkP9sRW49SltUu2kz4k47BuH9IU8f1P+b5G6Rh5mTzSzQIrlhtZrMMvuXrZIzuOIJMvYmVnI06rMw4jEQ1/uI7zOLRj5FXyuNRfGnwZmgb0ryt//5Dy2O+PIJ0rYvmSRqwbbCd/PLKDVF8v5IRemxI4AbDJ8P8/uG0EuYIRczNoxA0dWIQWnEPPkcdl57B93xXGJMqgzaj1hsZI1WPTKSSI/aHto8jmOcRNWQUOS5adSx5HXmH7vhIwvYcI6ULv6Y6KidG+fnj7aMldbAe1Oo7t8H2N0kEX015GllUKrecy+jtXL/uVIVQ2ndLnqg8f2T4anJuKfqfeU9i+L+2DkAucUh/2lvrwiJFR171W0FURlMAJgLOWd6CrOYGpdB5P7T5K/kh3A0e2k0qgiwmayr2UscChE8zRnb6Cs9O5Ah7ZQdwUTgXOmYMd6G5JYjqdx5O0D1liChzGhcy6jKD9sd+zfV/BZPIFtE+S41n61zpLMli3rB09LUnMZPJ4YleNPqQuwiOLUOAMG0LXb5ZeJabAcZ4qnskX8JDh8r3I4Tg8fWkb+lpTmM0W8MSusfovYAEVID0ns31fOp+FePORzRfx4HabuZSOHSVwFj/RiIa3ry1ZAACQ4wqShkl2EdVCgK6Xbm5W8TeUtuWktks+DUwd8vw2z+wZx2y2gL7WFE5fVtssTolENFx4EulD5nE4xUJp4WFtwek06lHMHwNmOQgzQTy3cwTHg2TTrDzVWZHPSETDhSc76MNuQ+BMHlgUAaAmuXRJ6DIXOMbif3TXwkNhq7Bl7zHMZPLoak7iTOraqEMkouEdJ1fMpTzJzpbmZ+YWHOP9juwQ7srxypZ9xzCdzqOzKYEzl3eQP85PkOOIgNJYEoQSOAHx1hNJVcfHXzN2HZpGgvMAUnhrsTB/rHRAJKsgRko0VmozH9lnj+8kffCWE7pcnZNy3omkuupvXmOckTR1CChkSFB2+0q2751oJMIQWFRWnG2vbkFCK2A+0oxIxwrHr3vrCRXj0I7GJeTsL2BRtRmObCcBxg1LgJb++s93Q0sfOcdKL5ATth3wG2McvvWELkQizsfhgrmUJ6PbAehkQ9rUxfa921eQpIJCNrTZtI/vJHPhW07oQpT2Id3gti4l53QJRAmcgNi4uhOaBrw2OoPhyTT54xKjcu5iEjjH9pDHln4g3sD+/alFwseE8BtjYqTl4J2yYXUXIhqw68gshiYZuhWP7SOPbYNsA4wpXUabLaLF+tAeMolmWpa7qrO0YXUnIhqwe2wWhyZq9CHdeR5ZPG1mCo+ek9mfmK5pJSuOQzcV3Si4HYdvXLUE0YiGvUfncGB8ztVrXUPjb1i7pwAy1j3GLsnC4+ZcajmWQZL4G0AJnMDoaErgdCNLgFoQFqXAGTcEDmvrDYVWXj26y9PLj0xnzKrSbzre3cTa1hDH6cvaAZREEhOoCdyFJcIVNA7nqKAy94w5OpNB8RhxTzX0HOfqtW0NcZxhuEMer2WJMwXOdi+XKCeTRpHDdvtier6hC5qD4Ozx2SxeNSqDv9nlOGxJxU2XljmX8oLOzV0n1n6eV+g8OcG5iCgHJuayeMmoDF7Wh9SCI8FBokrgBAjdqZjBcT4XaykxF2t3C49jfFpwaIDwyf2t6Gp2n8L+FtqHLCfWCcOC085L4JxAHh26DmTnqd3jWKqR9k92rnT9+rccT8dhrUBjKgrD6TqwhRbIZFXLpZJ2o47NZP34uKd2H4WuA2t6W9DTmqr7/EroXPpb3gKHxvrxajP6vj5iCkXx1O5x6DpwfE8z+tosfUgt0ks4rQEuUAInQN5wXCcA4Fl6qrFpwdkj6Io4cIy3BcefwKEnSq9ftcTT69ebfciwyi2dEHhZcJYYQnqR3GfP7h3HMs2wvniwRqxfRfrwuVp92EoOyjWDJRcD1ILDa7GmbeZgsX6W0Th8bu8x6Dyr5k4GJHAYVWcPErMPj6vow+nD5JHeDwJRAidAzlrejogGHBifJ3E4VOBMHnCceSA9vNU7tQxN7PeUKk6FybkrvU2s65a3IxrRcGhiHodrxXC4gbcFx1ysAyyOxpFn95YsOKbVwAVnWvqwahxOqxGEO7WYBA5nC44pcA7XfSpdHM/xOg4H2xGLaBieSuPgMY5lNqaMNuO1WJsCJ3wuKrpZfEOlwKH93zoQ8BUtRAmcAGlJxXFSP4kqf27fOInMjzcC0EOp4G3hHYPT3AtAI9kac+7Snifnc9g+TPz+56zs8PbxyRhONvrQtMT5hbcFp8WoT5GZJGmvIWY6ncO2oSlfFpzGRAynDhjjsFofthiT88wIOSdsMWAKHE6HIdIFbepQzbOIZjJ5/M6IvznX4zhsSETNCuTP7WM0DispFkuLdRtvgRMuF9VsJo9XDtO51CJw8llgxkjfVxac1x/UcvDsnnGSedBMajqYN0WYKeRL5mle1ohorJSuOePOIvH8/mPQdWBlZyN6Wtz7/SlUHNV0cTglN1/6HqxTxCnJFiDeRH4PuRXn+f0TSOppdGpGfRqPizWdlKuK1OYecrirXgBmF8HYTE+WyjfwWqypwMnNAemJqk97Yf8xFHVgWUcD+tu8Z1pScfTMHk6Hos6NkRRuaOzT6ilUBMyPA1nOGWEM2XpgAoWijqXtDVjabunDmWEAOil50dgp7PooSuAEDF0ct+w3BqUpcAI8PI4Xc0cB6IAWYV8zwkqzYZFwuVi/sI+0+VkrvO0aKVSkbtnHYGKlO7d4E6m/wgNNK1lxwi5w9h0ruaeSbUBDu6f3oYvjln0T9k+IREttthjcVNR607AESDTx+Yx4Q2lRq2GReN5o87N9jkMqUp9nMQ7toG3W3EsOSOZBqo3UwgFCFWhM23xBH9Kx0tLPvhSBB5TACRh6GNn2oWlylkqzUVBsMVhw6E63sZMsELxoMUShy8V660GS0mhW3PQITTPeMTLt/zycWcPV0tzDd0KgO9CQB82+eHACSzXDNekjlmTdILkHfj8yjflslT4026x+TIn0THAOMKaYbqrqbfbiwQkAcFy9uBp0Ln1tdBqzGQ5uRDODiqOrRdNK7x+iOBzah+sq+5C2mQTuKUAJnMBZ2t6AruYE8kUdvxuaWlwWHPodaBVYXlALjgsXla7rePHABADgDIfHM1RjoC2FruYkCkUdrx6e9PVepihs6q79PL8sAgsO7cMuGG1Oha4H+tpS6G2t04eLKdDYzKDiFH9DaaVpz/YxhWXj0KfA6W1Noa81haIOvHLI5zi0YzKgxTpkcTi6rmPrAdLeC/rQDDDm5NJziRI4AaNpGs4wisW9eGBikQkcao3gvVhTC47zNtt3dA6T8zkkohGs7fNXPlzTNKwbJCLpxQN+BY7FgsMTU+CEd7E+MD6PY3M5dEeN+JtGf25QOg63GgvuAmig8WKw4ND7zIcodEQdC87BY/M4OptFPKqZCRd+OMMYhy8d5CBwpjhnnVEcWL1k4vBkGmMzGcQiGk4ZqOhDiTKoACVwhEBV70sHJxeni0pCCw41qZ480IpEzP9tb4pU4309M2vEk/CMWQIs7pbwWnBoW5/YbBx14tPqRcfhi9UWx8VkwaEZhz5FYV3qLNZUiJzU34pU3L8bm/bhVr/j0A46J9PNAS9on7jMChUFtcCt6WtZ2IcS1cABlMARAj3BevFZcIwJgbs1wr0Fh06sft1TlDKR6ge6s1Yuqrq8ZCxiKxuMuidN/rI0yiypdrgoXCc9VEjzzmyh93GVxZr24emMxuE6ow9f4iFwTFHIu81CJnDMPmxf+J90fuEtCh2iBI4AThkgg3vP0VmkU8bgWRQWnIDcLR4sOPT8qVOWsplYqWl279FZfwGOQQkcurMOsYvqd0Yf9lEXlc82o324f3wO0+ncwifUWaxDBf0OvC2FVAxUaTPah3QO9MvJRh8eGJ+370M/zBklBHgLnDptJhvbhsj4W+CeAoIThQ5RAkcA3S1JdDUnoevArvlm8sfZUU+VeaViJiAXldWC46BMu67rpsA5mYHfHwA6m5PobiF9uGNk2vsbzQQkcEJuKSR9SNq5HUY9F5/ulo6mBPqMc5B+b9eHNG1/jlMhuSAxFx5OpQgoddqM9iGL+BsAaG9MoN84B2n7sI9xaEdQi7UpcDifq8UIOpfa9mFQotAhSuAI4qR+UvvglYkE+UMxD8xzqucQFLMBBRlTC04hU7OgGGVkKoNjczlEIxqO72lmdhl0gNMB74mgLDgNRmp8doZUGw0ZR6YzGJ/NIqIBqawxThhYI9Ya4/B3QzaLY4OxWM+POxLSUmO6qDhbcGib2VgjjkxnMDaTgaYBJ/ayH4fb/YxDOwK34MgvpMdmMjgyTfpwbV9L+X/qemkNa+AspB2iBI4g6KB8dWS+dDOEdHdtEpQFJ54CEsYE6WBS2GYcz7Cqq4lJYCOFitTtdoujU4ISOKl2AEadHQeiUDaoa+O4riZE5tgFZtcUqdQaUciG+4gLXQ/eRZWeWHDEBT0m5bjOJjQmYsw+8qRaItUr+SyQpdl6vK1eFheV5EKaznUrljSiKVnRh+lJUvkb4N9mDlECRxBliyONWQlzSfhioWRi5R2DA5QsEvMTdZ9KF6+1jMzilJP6fFpw8tmS2OAtcCKRUtXfEFoKqfvh9N4EOQoAYGKNqLn7jzcC0ST5fV7+3XVV0hOWhYezNaLBUkSzQkjXdG34YK3fcWgH7W8tQipm84T2ST5durclxZxL7Upt0DaLNwGxZIBXVR0lcARhDsrhKeipdvJHB4u1tMyNA7oRQ8TbDA4YFgkA6fqLdcnv31Lnme4wF8fhaRSLHnZeVBBq0fKFgRemKAyfwKET65mdxkIdTZIztnxykmFmt+1DTSu1WQjcB1WZNaw3iRb+C080Ro4fABa4qeg4XODa8Akdhzu8jkM76LU3LCGbA54kmkpCelbuOBxqDa8dfyOH9QZQAkcYq7ubEY9qmE7nkY4aAz6ErgMTqt5TbWSS441pjZio+9TtnHaOq7qbkIhGMJPJ49DEvPs3MN1TXfwnUSDUi7W5+2+lNXC6mBxtcVxXExKxCOayBewft9k9N1ricMKK6Z4KKPDTjMMpbzNeFpyVnY1IxiKYzxWwz64PvRBkNpCmhSZVvOZmkfZ3EJs1hyiBI4hELILje8hNckxvJH8MswUnbdSDoZYV3jh0t6RzBeweI/ETJ/msYFxJPBoxg5Z/58U8HlTgJyWkFpx0roBdR0gfrm4yBA6jhScWjWBNL7Xi2PShGWgcrjYrYy6gGjgUm7TnbL6IXUdmAJQCu1kRi0awxrAKMXNTBZ3uHIKMvWy+iJ2jNbLg5pUFR2GBmsdHc8Zx82G24JgCh7O/muIwBue1kRkUijo6GuPobWVvnveVSUXbLKgdT0gX652jpA/bG+Po0I02YxizRF0mtkGqjeG1epkEVcWYYmP12jk6g1xBR2sqhqXtDcw/km5emGVSBZVWTwlBqviuI6QPW5IxLOuw6UPJUsQBJXCEQhfHg/NGqniYLTj02qllhTdm3FLtxdrqM9Y4nNbtK5PKFIVsLUtVCakFpxTY2AKN3mcMF56agcYhFYVlBFXFmGJjwbEG+vMYhzXT/b0wZ/R3YAJHfhcVtXCu7W+x70MqaCVJEQeUwBEKnVj3zhoCJ9QWnAnyGLQFp06b1Yz6Z4BpwbFzb9RDmNUrXNaIsuJwHNqMLo62fRgC10FdJIjBoYvjSYwDjClMalJZCdxFJX8147pFGlWQ8UJWrlwJTdMW/FxzzTW2z7/99tsXPDeVSgV81WygE+ueWSMoN8wWHFPgtAfzeQ6tEaXARj4TK3Vv7Ds6hxm3RzYIEzjhskaUFsdWIGMsYEl2gpVWt7Yt99+w0N0SOoIemzaikHUF40qoi+rQxDwm5xkc2aAEzgLqBokrC85Cnn32WQwNDZk/999/PwDg8ssvr/qa1tbWstfs27cvqMtlSldzEl3NCUzoTeQPobbgBL1Yt5PHOqJw5ygJbFzDaefY2UyO3QCAXcZnOUYJHEe8ZrTriX0tXNqsvTFhxmftrOzDEGeemaQNURjUfWYTg/OaEZx6Iqdx2NYYN4/dWNCHXgh6saZ9Q+9vCaHtWrUKddBxSw4QLnC6u7vR19dn/tx7771YvXo1zjvvvKqv0TSt7DW9vb0BXjFbVnU3Y5IKnDBbcOi1S2TBmZjLYmyGHEuwuptdafhKju8h/UezRByTEbXwhEfgTM7ncGQ6AwBY3d1kWazZWgLo/UGztUwWQ5o4B6tXTSpcVNPpHEamaB/yHIe0DxkInKA3H/R+zjA+T4sRM5k8hiZJBuPx3VVEKo1bUhYce7LZLH7wgx/gIx/5SM1AtJmZGaxYsQKDg4N4z3veg1dffbXm+2YyGUxNTZX9yMLq7mZMwhj0i8GCE3SQcY02o4tVf1tqYVlxhpQWR2XBYc1uo017W5NoScW5tVnVPlwMQcacRGFVzMWafO5uYxx2tyTR1hDn9rGruz1uNOygQiOoNqNFK9PyrE1W9hh92NWcRFtjlT6kY6QxoKxQB0glcO666y5MTEzgyiuvrPqcNWvW4Lvf/S7uvvtu/OAHP0CxWMTGjRtx8ODBqq+56aab0NbWZv4MDg5yuHpvrO5uKllw0pPhPVFcVJBxjYWHTnQ8d43W99816vK8IlECZy48izUVqeYhqRmjzRiXzzcXx2ouqjALnKAtOLRvDJFQGodNXD92dY/HcWgHFRoMqmU7IlkuCmVj5xHSlzX7kIpC3kdbuEAqgfOd73wH73znOzEwMFD1ORs2bMAVV1yBdevW4bzzzsPPf/5zdHd349Zbb636ms2bN2NyctL8OXDgAI/L98TxPc2YhHHT6MXSAW9hQ1Shv3wayNlXEQ58Yg2LBSc7DRQYBGIGwAKRystFVa0Pra4DyQ9CrErQFhwqCozFOuiNxm6WFpygRCHtG0ktOFQ00nGyAF23COmARKEDAqip74x9+/bhgQcewM9//nNXr4vH4zjzzDOxc+fOqs9JJpNIJuU4/KuS1d3NyCCBjB5HUsuRWJagFjyWBL1YJ1vJGU56gbRZfGHhqbqDkhFUQO09Oot8oYhY1OG+IXA/v+Vz0pP8T5ZmALWolAQOXxfVvqNzyBWKiNM+pJN1MU/EtM19Jj2BW3CowCGi0ByHAQmcfeNzyOaLSMQ87t+LhdJGM7A2kzsGp65Izc4CMDYAEgkcaSw4t912G3p6enDJJZe4el2hUMDLL7+M/v5+TlfGl6XtDUjGIiUrTljjcIIu9Kdppc+q0ma7A9o5DrQ1IBWPIFfQceCYizOpghY4kSg56ReQdiKtpGxiLdslsl14+ttSaExEkS/q5WdSxS3WvwwDy0DQ5LNEmAHBx+DoRSA7i520DzlvNHpbk2hKRFEo6tg/7sNNlbX0c2BWL+NzstNEYElGXWs4nU+0qFSbACkETrFYxG233YYPfehDiMXKjUpXXHEFNm/ebP77y1/+Mn79619j9+7deP755/Gnf/qn2LdvHz760Y8GfdlMiES08GdSFYvBZwRZP8umzbL5onnwHm+BE4loWNVF/f8OF8F8FsgZC2lQu0QASNJYFvkFTq5QxL6jRh/2NJGFh55Yz/g+0zTNEktl6cNIhJzCDUgbH1ET6zUHdZ/FGwGNLC25+UnsO0otOHxdxZqmmSJqp584HOomiib4n75OsQopycZmvlDE3rE6c6k1KJtDpWqvSCFwHnjgAezfvx8f+chHFvzf/v37MTQ0ZP772LFjuPrqq3HSSSfhXe96F6ampvDEE0/g5JNPDvKSmbK6uyncFpzsNLeFpyYJY7BlF4qKfUdnUSjqaEpEuZxBVYnrOBwRCw9QMh/btJls7Ds6h3xRR2MiSmqc0IUnEuOySyxl4VQsjlaXS9igVsJEM7HgBYGmmW02PHoEuYKOhngUA238d/aeMxqtBB1/AxAhFTXmKcmE9MFj88gWikjGItXPETPbTB73FCBJDM5FF10EvUoA3yOPPFL275tvvhk333xzAFcVHKu7mzG1zThRXOJCT1Wh1xxNBmuerLHw7LKYxXmcfVMJXRwdFxkzF54WIBrgMEyEx4JjdU9pmlZqsySfXWLVxTHZAkwjFG22gKDjbyhJcqzG4ZFRAMCq7iZEIsGNQ38CR1CwbLIFmMtId5/RtlzV3Vy9D0XdZ3WQwoLzemd1TzNmYRw3kWWQ4hg0ZpG/gIOja1gjzPRizu4piuudY9DxN5QQWSMW+P05u0GrWuFC1GYLCDqDimIsdEfGjgDg7yamVC3Y6Iaga+BQJM2kcpSNKqkFRwkcCVjd3YQZ3bB8hDGQUdRibVojbATOaDCBjRTrxFrNGlmGEjh1WZB9w3mxtsbglPVhiNpsASKtEQDGx8lJ5oEJHGO8767sQzdYLYVBImktHEdZcBKmiANK4EjBqq6SBWd+NoQuKmp1SgYziZkkq8fgBFUDh7KquwmaRo4WODqbrf8C0QInBDE4uyqzbzi32YrORkQ0YCqdN4/4ALCgrkuoSItyUZE2m5ogxzWs7glmHNI+nM7kMWoc8eEaETE4gPQWnONrbRaVBUdRjYZEFFFjsZ6eDGHFVLpYJgIWOKYFp3xC0HXdNFEHtXNMxaNY1kGscI4yqczFOuBJNCQxOKQPK9L8M3x31ql4FINLSCxcmZvKTOGVXxQuICPIRWV83tz0BIDgxmEyFsVy2odeD90UZvWiFhy5NrmOCjUqgaOoRUNLOwBgdkaum9sRogSOubMun8iOTGcwk8kjogHLOxsDuxwzVdyJ/9+0eolxHcjuCh2byWI6TfpwZVdFAD5Hq5dtLFWYXVSCLTix3Aw0DTiuKxgLDsAgk0pUDI6Exf6OzWZxbI5UPa/Zh8pFpahFYwuZtHNzcpknHSHKRVUlTXyvUTtlaUcDkrGAUmNRmgD2OSkyZorC4CZ+AJY6OHLfZ7R2Sn+bpQ8DWKxXGIJ4/1FLsb8Q1Q5agCgLjrHQNWvz6G9NIRUPbhyupOPQ2oduCPocKoqELqq9R0sHFjckavShKLdeHZTAkYTWVnJOUDEdxklU9GJdKXDIoFyxJNjroabxfWMOJlZhVq9wuFvo4mRab4DSNXNceFZ2lo7dMAm1BYfP4aR1Me6zZsxhRWew45CK1H3jHgWOqMVawiBjWtWbzm1VUS4qRS062onA0SRfeGwRHYNT0WZ0970iQPcUUFqMHU2s1OoVtCgMSQwOteCULY4BtBl1aZbt/sMscIRZcMjntWrzgY9Des/sO+oxVVxw5plUFhxjs7aynkhVAkdRi67OTgBAND/nPb1RFMJjcMoXHrr7rjsoGbN8SWlirduHogROSGJwqEhcscTGgsOxzVZ2ltwbZh9KuLN2TIa/1csW6qLCfPAWnCUlkVosephLRRWtS8kXg0NFYt1YRiVwFLWgAqcB8xh3kmYsE8LSxO1Tnk2zasA7x8ElDdA0YC5bKE8ztkN4DI48k6gde00rnNWCY1hVOArppe0NiEY0zOcKOELTjMNswREspJsFWHCWdpA+zOSL3lLFhRVHlO8+oxsNZcFR+CLZSHzkzZj37jsWhUTuFl3XsWdMjAUnGSudt1PXPG62magYHHkmUTtKLiqrBYf/fZaIRTDQTmpSmeMwJFYvW3KCxmaKxuAEL3Di0YhZsmGvFzeVqMWazgU5earZ245DO9RRDYqaGBNQE9LYNxayiZROCImgzeALg4wn5nKYTucBOAiM48AKuxgOO0QJnBDE4EzO5TBhpKYGLXAAS6DxWEUqv8RtVhXaZvFgBc6MRgRGixZ8kDFQGvv7vWRSidqwxRvLP18wM5lSwcv6AkdZcBS1MBbrmFbEgSMTYq/FLcIsOMZgys0CRXKaOd1197Yma6c1csJxgKMMMTiSxnrRNPueliQaE5aDSANy65mL4wILThgFDnXrBXufDc2SsdesZdCcDP5MZ9tsOKfk+LtCbUlQgSOHBZ/OYZ1NCbSk4tWfqOtK4CjqYBlMo2NHBV6IB0THk1iuwTb7JkDoTmdvvZ2jafUSdLxFMQfkPZay58y+allwQVtwaB+WCekC189mjiAhvc+YEhqRDvRzKZ5TxXW9NJ/FA7YAV8kKFQUdh3VjGfMZoEis5oHPZ3VQAkcWIlHko8SsO2YcUBcaRAUZx1KAZlhpTIFjk30TICudTqyi45YAaSbSSqqK1Fww1ohSqrjNfS1pm9mi68JicPYaIRlx5IFCPtDPBnykiuczgE6swaZFJSiooMrJYsFxGGBsvd6g57M6KIEjEbqx+EwcC9l5VKKsEZq2IA7HTBEPsDS8FeldVJFoKR5D0rTnvXYitVgMLG7JmioOAIgmLEJajsXHEfl0abEO2Bqxe6JY+oeAoFnTgjPmsuyGdbEOOG7JnAsKWaCQC/azbXAcYEzHZTRJ5heJUAJHIuiBm7n5aUylxd/gjhEVMAuU3AdGVpBpVhVkwaGfOzGXw+RclT4sFoD8PPldRJtJHlNiFmq0itT8PABjoQooBmdyPoeJuSwR0vQzJdldOyIrbme9czyPgq4tvI6AoH04ncmbZyk5wrpYRwOOHbL2kQSBxlVdxZWYllUxc24tlMCRiEiKLHbNWtpb9L8I8lkSzwGIMU9W1HVxbFblRFMyhu6WJLmWamdSWScvEW0mWTBjJaVCjTYZVAAQa+D6+Q2JKHpbjT6k41CyDBdHUHdaLBX4znr/+DxmQdLtRYjCVDyK/jby+a4Cjc3NmoDF2moplEBIO45nFJSp5wQlcGTCsEY0Yd77QXFBY41JEGqNmDHSGkngbNBF/qxQ10rVQGM6IWhRIJYM6KosxOW1Rsxl82ZxtrKzxMzAzyYgwn/aWlGZhZOQKz7CEQHFLFUyny1geCqNeRj3tqC4JU+p4jmBi7WmWQKNxQrpdK6AoSkSIF43nlFZcBSOMKwRTVraW3qjCKy7xKBNukBp8s7OmhNZR2McbQ010ho5QxfH/dX60OrS07SArspC3LCASLhY09Ts9sY42hotfRhwurO13D+A0oIXKguOmMWa9mFaMyw4giyFnlLFBaXVmyTksBQePDYHXQdakjEsaUrUfnK2wsopEUrgyIS12F9YBE5G0DlUFIs1onRuilhTad1UcVpFOOisM4rELqqqWXABB2XTIPWSwJFXFFZFVIq4MQ4LUdpmYuYy24NT6yHaGiFJrBc9ZHN5ZyO0epswUdWyHaAEjkwYIqEJaRw8Ni/4YhwiKhuIYll4DhwTG2BMoZ9/oFqquPA2k2MStYO22eACgROskKafT+8pmUVhVQTFkxww5i49LrbN6Dg8eMzF51tdoSKQJNbroJu5VFlwFI4wJu9GLV2aWGUnK+i0YoolNoKKwsEOvkGo9RhcQj6/qkgVLnDktUbQNlvWUc2CE8wkSs8yOjhe4aKS6JygugiKwaGLY0SwNcIUqeMuNotZ0RYcOWJwDpjj0MFcKtrqVQMlcGTCWHgakMXQRBr5QrHOCyRAVBVjimWXSHf/CxbHgKGfPzQ5j5xdHwZsjViAxNYIujhSkWgSsCgcNPpweCqNbL5oEdIhsawCwqwRVFBEU2Ir89LFeWQ6jUzeYQVqQaLQRKIYHMDGkmqHyqJSOMK4uZsjWeSLOoanxJQ5d4Vwa0Rp4TEtOJWLY8B0NyeRiEVQ1IHhSZs+FN5mMruoqlhwAvbzdzUnkLT2oWB3iycEBczSxTHRSGtUiWmzzqYEGuJR6DpweMLhXCp6sZakmnFpHCoLjoIVxs29JEFKm4ciDkf4Yk3aTM/OVndvBEwkomFZO5kYbF2NwttMTheVruulnWPlxBpwMUlN08zJ/cCxOUvwZ4hcVAJicEgfknHYQAWOoPvM2oeO43BE1sEBpHFRlcahGwuOEjiKWhgLT3ucCJyqQaoyQU32om5uYyLKpGcwnytA04CB9pSYa7GwjAY42vn/Rbv1JDGDV3JsLofZLHElDLSLdVEBJfP8wWNz4bTg5IIVhQCp/jyTIfNXU0sr+aPA+8x1HI5yUWFyPoepNOnDpa4sOMpFpaiFMYm2RUll4FBYcEyBI8gtZHxuepakXve2pJCMiT8PpebOUbgZnFoj5Lq/aFv1tiaRilf0oYBdomnBGZ+3xODIJQprIqDNqJDoak4iRssgCLQUerbgiBqbEqSJ07bqak6gMeGgtpnKolI4wrhBmiJZAFXcG7KRE3xzGxNRLk0mJtHxNxRq2j1gJ1KpsBBlBpfURVU1/gYQEphN+5BYcGihP7narCYCrF5lQeIJ8W1WcxzaITqexLzPxJ1aT8fhUqeu/pxgt14NlMCRCUMkNGpE4CgLjgOMz80bAkd0/A2l5s7RFIWC2sxS/VkmqsbfAEICZpdZF8cwHtUg4BBcuilb1tFouc/ELdbeY3BEu6jEW3Acl9sQbfWqgRI4MmEseCmQs3gOhULgCF6szSBjl4OSMzV9/6LjliyZZzJRtjhWIiD4s1TPyBqDI5corImANiurRSVBRpDrGBzRi7UULiqXyRqiawfVQLjA+eIXvwhN08p+1q5dW/M1P/3pT7F27VqkUimcdtpp+OUvfxnQ1XLGEAnxAklprFpHRSZEL9bGoNLycmRQUWrW4JDE6iWbNaJmmr8AVyi9l0amMshGxJ2M7RkBwZ9ltagksEbQcTg2k0E656AWjnJRVa9FVQ2RB5TWQbjAAYBTTjkFQ0ND5s/jjz9e9blPPPEEPvCBD+Cqq67CCy+8gEsvvRSXXnopXnnllQCvmBPGRBQpzJs1OIac1m8QhXALDvncWMFF3YYAqFmDQ3TckqQuqpqFGvNGGwZ4n3U0xtGUIMHOYxkj6DlUMTjBF/orE6kSVH9ua4ijJUkCZR25qUQHzEoQt1QzFs4OZcGpTSwWQ19fn/nT1dVV9bn/+q//iosvvhif+cxncNJJJ+ErX/kKzjrrLHzjG98I8Io5YUzeWm6+vAaHzIi24BiTaLxIFkBHlTcDoGYNDuEWHPlcVNb6KbYiVYAoJH1oVDROGwInVFlUwS485X0ohwVH0zQz1dlRoLE0VcbF3Gc1a1FVQ/SGrQZSCJzXXnsNAwMDWLVqFT74wQ9i//79VZ/75JNP4sILLyz726ZNm/Dkk09WfU0mk8HU1FTZj5TQGySfxvIOYhJ3dVCcCIQv1vR4iwwiGtDXJr4GDqWq/1+4KBQfG1HJkZkMMvkiIhrQ32YncIw2iwXbv9RMPzRnnKgcJgtOwFavo7PZ8lpUEsSTAJZ6Rk7qisniohIkpGvWoqqGoIrZThAucNavX4/bb78d9913H775zW9iz549eMtb3oLp6Wnb5w8PD6O3t7fsb729vRgeHq76GTfddBPa2trMn8HBQabfgRmWBe+4NjKhujooTgSi1bsxqJJaHstaE4hHhd/SJnUtOAEv1ibWXaKui7mGCujOv681hUTMpg9zdLEO9j6jFpz908Y1SSQK6xLw2KQuRrMWlQTxJIB1HDqx4Igue0Hj48TM+zVrUVUjpyoZV+Wd73wnLr/8cpx++unYtGkTfvnLX2JiYgI/+clPmH3G5s2bMTk5af4cOHCA2XszxbLgrWglXaMsOHWwfO5x7cJv5zKq1uCQxYKjF4BCTsw1VGDG31RzMQqK9aKL4/5pvXQdRckD/ylUFAYkpBe4GCVwUQHWcVjnOnRdfFVe07oqJvbSdfxNPgsUSdVjGWNwHJQpDJb29naceOKJ2Llzp+3/9/X1YWRkpOxvIyMj6Ovrq/qeyWQSyWSS6XVyIRIBYg1Afh6DhgvYcYEqUYgWOLEUdGjQoGOVYfWSheoWHNGB2ZaJKDcLxBJirsNCzfgbQNh9Rif63Vavdj4t5WRehnWxDsqCU3kCNf3cYo4I6Wg8kOuoxLEFp5AFYAhZUdbVuNhsPffxNxZXmsqiqs/MzAx27dqF/v5+2//fsGEDHnzwwbK/3X///diwYUMQl8cfYwJf2kwGmvwWHMEmXU0zU3gHW8VcQjXqx+CIEoUJIGLsbSSJKalZe0PXgbwogUM+b/cxS4pxGNxU1sU6LsiCUyakxW3USuOwTr9Zr1GYwLGKwnzgH0/70NEZVEBp/ojEpNgoVSJc4PzVX/0VHn30UezduxdPPPEE/uiP/gjRaBQf+MAHAABXXHEFNm/ebD7/U5/6FO677z780z/9E7Zv344vfvGLeO6553DttdeK+gpsMUyjvSliBh+dziCbl9gkLtoaASADMrCWNsoRT0JZ2l6qwWHWwhGws7ZFsvOoDk8Yi6NdYGMhC+jGGBAkcI7M5qHHjM+WLL3eFqsIC+g+o31I73vEkgAMq6rA+4wu1sfmcpjP1qiFkycFVqFFhFmbyoRVPvg2K/Wh02MaBLvb6yBc4Bw8eBAf+MAHsGbNGrz3ve9FZ2cnnnrqKXR3dwMA9u/fj6GhIfP5GzduxI9+9CN8+9vfxhlnnIGf/exnuOuuu3DqqaeK+gpsMSbwtlgOiVgEug6MTElaC0eSxXpWJ+7HfskETntjHKk4GWLDk0Yf5jMo7awF1uwxgxnlWKzpxGqbuSFgsaa0NcTRaNTCKcZCVOyPLjxaNLDFmtbsMvtQ00r3mYDFmtKaiqPZqIVzeLLGddBrjKXItYvAKnAExOEcMsehQwuWIMuqU4TH4Nxxxx01//+RRx5Z8LfLL78cl19+OacrEgythZNPY2l7A/aMzeLQxLw09V3KyFsGoKAbXNd1zBYTgAb0pBxUKg0QTdMw0N6A3UdIH67obCqf6EVOCubZSuItOLquWwSOzcRKJ/oAF2sK7cOdozPIR1KIAuESOAEKQluRGkuR9hIUNEsZaE/h9yMzODwxj9XdVWrcUAuOKPcUYMRhpsjcKtSC43BuMttMzhhX4RYcRQWWM2/oZE9vOuko81mLWawn5nKY0YmLaklCLoEDlCYKs5oxbbNITJwZHLCk8Iq34EzN52vX3hBsJaTXlNGMSVzwYu0IU+AEs1hPpXOYzpCYkTKRKsmxIAPmOKwxl4qOjaMIShWfTucwlSZ92O9U4JglL+S04CiBIxuWKrMDbQ4GpUjopBVNAFExxsBDE/NIgyw8iaJ87bSgD2XxWUuy8AAls3hnU8K+9obghWepsWDTWC+R7hbHBFzkj97fHY1xNCYscwG1huRFW3BIOxyqdfSNLNaImBiBM2S40dsaSi69usjSZlUQ7qJSVGBZeMxdx6SkO0YJdjyHJ+YR0+nOWr6FZ8HOUYKg7LLPl8AaUTP+BrAs1mJcB1SkzhUNgSNBm9WF3mcB7axpHy6oQi3JsSBLnVhw8pJYIwRZcA7VG4d2SB6Doyw4smGZEBwNSpFIEGB8eGIe83RnLaXAIYvyoQUWHMETgrmzFt9mNPCzamCjJC6qmaKxHxRsjXBELlgLzqHKAGNKXBYLjgN3vyzWCEGB2aX4GxcbCVnarApK4MiGnQVHWoEjfrE+PJnGPIwBKUE8SSULRKoEopB8Pl14MmKvAw52joLvM3pdU/lY+fXITMD3WdXF0cw8E9tm1Ao3VMsaLsF8Vvb5AbdZXUuqHSoGR+EKywF15u7/2Dx0Sc4MKkOCxfrQxDzSuhGsK+HOesASZKzrujyTqCA/vx00vbhq5obgSZSOw8k8PVFcfJvVJWC3XtXFURIXVSkGp8ZcKos1QpAoPFzNClcLep+JbrMqKIEjGxb1Tm+02WzBjG6XCgkCZocm5pGW2EVFTzefzxUwOZ8Tvlib0AlJAlFYd+coWBTSPpwtUiEt3322AEEWHFldVH1tKWgakM0XcXQ2a/8kaWJwxIhCbzE4wbpC3aIEjmxYXFSpeBRLmsjiLaWbSgJrxOGJNDKgC494d0slqXgUXc2kDw9NzEvRZmWfHwqBIzYwOxmLorsliYwepiDjYA/arLr7j5XmM5HEoxH0tBBRX3UuzUlijRAkCocmvcTgSNJmVVACRzbMOjhkQpC6Fo5gF1WuUMTIdBppXe70XaubSvRibUInJMGLdb5QxLBRqXugrcrEKsEucaC9AfOgVi8577MyArzPCkXd7MMFbkaJsvXqxjRKcJ+Rz6cWnOBEYaGom9XW3cXgUIGjLDgKJ1TUjZC6Fo5ga8TwZJqcwxiRY7GuRlkfSuDWA1CakARbcEamMyjqQDyqoau5yi5QAlG4tD2FNLUUSnqflRHg2BydTqNQ1BGLaOhuqehDCY5qoNSthSOLNcKMwQnuPhubySBX0BGNaOhpURYcBS9MgUPcLY4KVIlCsAWHir5Ug/H5Erhb7CjbOUrjopIjNsJaPyUSqXL+jwSicKCtQXpLYRkBWiNoH/a1pRCt7ENJsqgAB7Vw8pJYIwRYcGj8TV+rTR/WQharVxWUwJGNiuBPqWvhBFwOvhJaP6Wh0cg8k1bgWGrhSJB5BkCahafmGVQUMzBb3BlBA+0NUgezLyDAQn9Va+AAwlKe7aAuUBWDsxBH49AOZcFRuKIi+FPqWjiCFx4a2NjUZByeJ6nAWSqjBafCUigKR5kbMlhwQidwgrfg2Kb5SxTMHpoYHAGB2Z5q4AAqBkfhkorgT6mDjE31Lkbg0MWxpaWF/EHS2IiyIOO8WKuXiSSxEY5OL5ZAFC61ChwJFuu6BGgprLn7Ny2F4s88q3v0jSzWCAGB2Z5q4ADytFkVlMCRjYrgTzrxD0+lkS8URV2VPYLPCKITa1uz3BYcOmmMTKdRzAZ7RlBVJMmicjSxShBkPNCeMmNwilkJNxuVBDg2a+7+JcyiOjKdQSZfWPgEaWJwgheFnmrgAPJYvaqgBI5sVLgOupqTiEc1FHWScSIVZuVPsQKnva3VuB7xk6gdnU0JJGIR6DqQmTeOkxA9IUiSReXINC7BJLqkKYFClNznuYx4a0RdArTgmDE4lQdtAlK5qDoa40jFyZI3bGfFkSYGJ/ikCU/nUAHyVH+ughI4smEGmJEbLhLRzBN6pXNTSRKD0ym5wCF9SNookxZvjSCfL0cW1SEnE6sELipN09BsxHrlQyFwgnMf1xSpEh0Jomla2ZENC5BASAMQkgDgPQZHkurPVVACRzZsgj+ljcMRaMGZSucwkyHHV3R2tJE/SmAGrwbd3eYydEKQpNaGQIEzlc5h2jiCpN9u90+RJPOsuYUIHNPNKDMBicLZTJ4cQYIqMTjx4BfrWiy1xsNVIks8ScBHNcxl8zg2R/vQrYtKWXAUbrBR7wO1BqVI8uIsOFTsdTTG0ZCSO00cKPVhISPW6mUioJhYJfSQzfbGOJqSsepPlMR10NZiWAolFtIm+WAEDi3v35KKoSUVX/gE090ih8CpWThVuhicYNqMristyRha7fqwFgHdZ15RAkc26MJTzAFFEggnbTVjqt4FBBmXmVQlcbfUgrpgdAlqupR9vsCFx+zDWtYbQJqFp8NwhUYK8t5nJgFZcA7VOwleAiFtpWaquJlaLzrDMVhR6Nk9BSgLjsIl1sEley0cgWniZcXFrO4WXQ/8WpxgTh6CA7NNTFEoLnDdceaGQCFtpbO9HQAQK0oW7G9HQIX+6i6OlsODZaCs6GYlgstemAQcg+O5yB+gYnAULrEOLvO4hhqDUiQBn1hspax+ik2byQZdALSCJALHGvwpSBRS90bdiVWgK9RKV0c7ACCuZ6QV0iYBWSPqLo4SZVEBdSrDyyJwzBicYNpMWXAUwRGJAhF6qF95ETRlwSlRNrGWCRzJ2siATh7xohzWiNKEpAOFrJBLcFxcTJJJtGcJCWaPQIcuqZAGQMSXGRvBNzC7rhXOWo6gKL6OV78lnlGvFKmyuI8DroNT86iNeqgYHIVrKjJc6KCcSucxnc6JuqqFCMw6KNt1ROOAZtzKki48dIcbhyEmhE+ilglJ0O7auYtKjp11f1eH+fvU9LTAK6mDVbByHpt1K1HbuNxFQss1zOcKZvaXiSSuUFMUWuIweeKomrgdhTxQJFmQosdmNZTAkZGKoNnmZAxtDcSqM1StzLgIBNaNKNv9a5pU9TbsaEzE0N4YRxLGpCrapBtNADBODRYUAOqouJhEk2gqmULBmDJHjh4Tei01sQoJzm1W1woXEy+kraTiUXQ1k4rUZS5/q9VL9GIdsCikrmIq/hwT4H3mFSVwZMSmRknNAlWiEOQ6KBR1DE9VVE81T2GX04IDAMtaE0hqdLEWbNLVNKG1cApF3awmW7MGjkyTqKYha5xHdeTYpNhrqYU5BjRDyPKhWNaHVfomGlvgcheNOZces1xPmdVLtAXH8vmcNx+6rptnc3mugQOIb7MqKIEjIzbnBNEJxLbEuAh0XVj67thMBoWijmhEQ3eL0VaSHB5Zi+Vt0dI/RFtwAKHp9UdnMsgXdUQ0oKelRltINonmIuQaxiclFjjWWBJN4/Yx43NZZAtFaBrQ21qjb+JyWVfpXDoyZbnvrdcm+j6zxmFyHpvjs1lk8yQ2qmYf2kHn2mgCiMgpJeS8qtc7NucE9RmDUhoXVdnCE+xiTdugpyWJaEQrvwaJLThLWyzDTfQkar0GAQtPqQ9TiEVrTEOSTaLFKLnPJqamBF9JDQKyrNLNVndzEvFafShB1Wwr1GJYNpfSNtMiJKZPNAFln9E26GpOIhFzOb5kKXlRA/EzhmIh5mJtseC0UguOHLugMktJwDE4tA36rGZxyWNwAGBpMxFjBUSJ6V40NseCBAV1MfbV8/tLNonqxnVMTkkcZBxQUDZdHOv2oWQCp8/OGp4PxurlGJs1gAd1XYy1MC2FElijq6AEjozYqHdpLThaBIgEu1gP2Q3KgCYEP/QZGbtZjV9chCsEuvXoxNpXzywuy/lABlqCtNnMTAgsOJyzgcyNRr0+lKzSOL1eWwuOJEK6tGHjLHCcbjTsMNtMzhRxQAkcObFxt1CzqjQxONZdYsA7ntLiaBlYkhUUs6OvkdTdSEMSgWMT6xUUjnf/kqSIU6IJolLnZmcEX0kNAsoGst1o2CHwPrPDtODYxeBIcp8FbcGpK1LtyCsLTl1uuukmnHvuuWhpaUFPTw8uvfRS7Nixo+Zrbr/9dmiaVvaTSklyY7LAJjbC1qwqEoFVjOnEZGvBkWQStaPL0GDpogTuKcA21isohp2mpgq8z+yIJYnAmZ2bW1goThaCisExd/91dvAC7zM7+k1r+HypD2WpgUMxrV58rauONxp2mGVCJGkzG4QLnEcffRTXXHMNnnrqKdx///3I5XK46KKLMDs7W/N1ra2tGBoaMn/27dsX0BUHgE1sBL0BpzOSFPsTuLOmg7LXLgZHkknUjq4UmUzn9bgcfSjQdRBWC04iSe6zSCGNqfm84KupQkBtZu7+2+oIKclcVDRbKJ0rlor9yVIDhxJQfNzwlMcaOIB0mw87hG8l77vvvrJ/33777ejp6cGWLVvw1re+terrNE1DX18f78sTg416b07G0JKKYTqdx8hUGi1uj7VnjUD1bhsYJ9kkakfKqGKcQQLDkxL0ocAsqhHTCheOYxoo0QRpsyRyGJqaR1ujBBk3lQS08Ni6iu2QLMg4FY9iSVMC47NZDE2m0d6YkDAGJ5ixOczCgiNLm9kg3IJTyaRRX2LJkiU1nzczM4MVK1ZgcHAQ73nPe/Dqq69WfW4mk8HU1FTZj9RUUe/9MgUaC7q5db1U5K/MbyzZJGqL0Z8ZxOXoQ0FZVLqulyw4dYOMJTvrJmYRODL0oR0BjE1rH9aPwREnpKvRZ2alGm0lXQwO/7FZ3odezqFSAscVxWIR1113Hd70pjfh1FNPrfq8NWvW4Lvf/S7uvvtu/OAHP0CxWMTGjRtx8OBB2+ffdNNNaGtrM38GBwd5fQU2VJkQ+uzqN4hC0M762FzOvjCV2WYStE01jAkhg7gcsVSCsqgm5nLIGH3Y01rn/pHMglMSOFmMyNCHdgSQeTY1n8d8jpyT5DxNXJ4aVQs2i6/DGJzpTB5zWaMPPQUZqxgcV1xzzTV45ZVXcMcdd9R83oYNG3DFFVdg3bp1OO+88/Dzn/8c3d3duPXWW22fv3nzZkxOTpo/Bw4c4HH57KhmwancdYjE3PEEu7Om56YsKEwVBguOIb7SekIOkSqoOCL97p1NCaTi0dpPlm2XSAWOJrMFh7+7hVpROxrj9fswoIBZN5SSNoxreh3G4NB1pK0hjoZEnT60Q8XgOOfaa6/Fvffei8ceewzLli1z9dp4PI4zzzwTO3futP3/ZDKJZFKSHaATqkwIUtXCEbSzrhrYGIIYnDILzpQEk72g4ogjbmpvSBcbQe67JHLYI8M4tMN06/FrM7rRcFTePwwWHNkW6wDceo5djNWQbfNhg3ALjq7ruPbaa3HnnXfioYcewnHHHef6PQqFAl5++WX09/dzuEIB1InBkaKasaDYiKFqgY0S+vkXIF0MjpjiiK4mVtliI4z7nQQZS9CHdgRhwXHThxKOTeruN2vhmO4WuWK9eIrCET8BxkAoBI5wC84111yDH/3oR7j77rvR0tKC4eFhAEBbWxsaGsjNdsUVV2Dp0qW46aabAABf/vKX8cY3vhHHH388JiYm8I//+I/Yt28fPvrRjwr7HkypGoNjCJwpCXZCgi04CyZWCXeJCzBEYVpPyOFmFFQccdjN7l+6GBxyHSlk5dho2BFADE4pzd+BIJDQfbwwBod/m7kiALee40D/aoQgBke4wPnmN78JADj//PPL/n7bbbfhyiuvBADs378fEctBe8eOHcPVV1+N4eFhdHR04Oyzz8YTTzyBk08+OajL5ktVCw6tZizBxCpIvVctLR7jPyH4RjoLjpjAbFcWHNl2iaGKweFnjXBlwZHQfbygcKp5n71+LDjUTe7ZgiObW88G4QLHSTXQRx55pOzfN998M26++WZOVyQBVRZreiMem8shnSvUD+7jiaCbu+rEGuc/IfjGsMilkcDkfA5z2TwaEwKHoCBR6LgCLiDfLtGSRTWdzmMmk0dzUvg0Wk4AhyC6OsNIwgxHarWYMQqntpjzmSQWHBWDwwThMTgKG6os1q2pGBqNaHfhLg5BN/dQtQP+QnCaOO3PYpRMosL7UJAodLX7l20SNa6jOUqqGAvvQzsCjMFx5N6Q0EXVlIyhNUWE6fBk+nUZgzPsxs1oh2xj0wYlcGSkyoSgaZo8mVQCdtZlBeIWuKjEpDy7wmgzWu5f+OIoSBTS7x3OGBxyzS1RUj9EeB/aEUgMjosS/5IehNtvrSv2OozBsT3Tzw2yWVdtUAJHRmqYdM1MKtFpxgLUe1lhqgUuKjFF61xhtFmyoQmABCJVgCicTucwnSHWD2dp4rLFRpA2a46R7zAkQzxcJZytEXPZPKbSLvpQ0s1HWRyOdPcZXwvOfLaAiTlyDpejjYYdIYjBUQJHRmqYdGl6tPDFUcDOmqY1tjXEF8auSDqJlmH0Z8oQOMOi04wFiEJaA6clFXMWuyJbbITRZo2azC4qvgsP/c7kfDwHZ3FJ6j4uy6SS7T7jHIND557GRNR01blGuagUnqiRddBfGf0vCgGVjGumNUo6iZZhiK+mJmrBEXytdDIPMPhzeJK0gWOzuGyTqNFmDRo5OFXKWjicNx+uD2iUdPNRKrvx+ovBsfahpmne3kS2sWmDZOH/CgC1LTjSxOAEb8GpObFKOomWYYivpqZmABKI1FjwsRFmkLjTwEZJY3CSGjHvC+9DOzgvPK7rp0jqPi4rnKpLZsHhHINDQxw8x98AKgZH4REnMTiiJ1YBlYxrpjVKOomWYSzWrS1E4AgXqQLqk5SybxwuJNKdJk6uO64TgSO8D+3gHBvhKkUckHbz0WcbZCzLfVZ9DWDBkJtA/2qoGByFJ+gNU8gAFXWCXtcWnFqFqQS4W1xjTKJtzS0AJBCpAuqTDLmpgQNIaMEh1x0rku8hRdHNSrhbcFzu/iV1H/dbXVTSxeDQDRtfF5U/Cw7/gpJ+UQJHRqwmv4rdNU1tHJvJIJsvBnlV5Qjwv9YclHSQ2YhCaTDarKOtFQBwdDaLTL4g7noE1CcZcTuxyubnNxbASIHE4NCim1LBPQaHvH/4LTjk+ifmcihKF4ND24yPKHR11EY1zBPYJRGFNiiBIyOx6gKnozGORIx024jIAEcB5smaZtUaolAajOtqbmpC0ujDUZHnisUtorAYjFiuWseoGrKZwS2isCFO+lC4Ja4Szou16/gNSd3HLckYmozCqcWsZIt1nK8Fh64d/X5cVPTaZBGFNiiBIyPROKAZxzBUuA80TSs3rYpChAXHLExlM6BqiEJpMCYELd6w8LA/EVgn84DazIzfcDqxymbBMYS0Bh2DrSRHQ7i7uBLORetcFWoESn1XzAOFPJdr8oK1cKouICu0JqbLnbcFx08MjmSi0AYlcGSlZi0cCRbHgCPo07lSYSrbQVlDFEqDOSGkLLFUAne11sk8AIGTzhUwPktcO85dVLLF4JSue7DVsOCILrppRde5isJMvoCxGdqHDsWAxJsP+h20gmz3mdG2xRxQZOsCzeaLGJtx6WaspFgg1wbIIwptUAJHVhzVwhE4sQa8s6a7xpqFqSQ886YMy2JdOhle4LVGY0DEaMsA2oyaxVPxCNoaHBSIA+SrTxJNmL8ubSH1Q6Sy4BixQQC4LNbUpZqIRdDR6LAPJRY4ZIHXEStIdp9xtK6OTqeh60AiGsGSxkT9F9hhvSZZRKENSuDISs1aOBJUMw54Zz3kpDCVgLRnx+h6WcqzNNlwAYrCUpB4g7PiYoUcoBu7V1kmUU0z22xpM/kOUsXgWF0aHHbW1vOLHBeIi0RKwlCysdnflkICFreZLPdZmShkG4dDNxq9bUlEIl6L/FmuSRb3sQ1K4MhKjbRnWkNE6MQasM/aTBGv5feX2YJTzAO6EcgbS8pTzyjAVHHP8TeAXJOocS19jRJacMyFRyNuW8a4LvJHMVPFJWorkA1TClarlyQWHKt1lXEcjllPrNXHd6XXFImRa5UUJXBkpUaVWeEWnEI+8J21o6A4AXVdHFOxWJtxVKJL/ZuikL+703Vgo3WXGJVkZw2YbdbbQMoRCBepVqyuY68l+GswbFaiditwaNqzRG0FYsFJwogl0SJcRKFnOFUaN4PEWVQxlkUQVkEJHFmpUTtC+O7fuhgG5LN2VJgqwMXaNblygVOKwRF8raZbj3+6uuszjOguMZokbg5ZMMZmt3HrS2nB4bTx8Jx9I6n7uK+1AUnjXDFeotAznERhzYrwTuGcqccKiWYNRRk1akfQG3N0Oo18QUCxPwE769LiWENQBbhYu4ZOCNEkYElPHZ3OICeiDykBVpl1XT3VXKwlck8B5tjsShELjvCim1Y4H21h9qFrF5WcAsdqwdElvc94WXBcuxmtyBb8XwUlcGSlhgWnszmJWERDUQeOzAhYzM3FOhHYznrYSWEq00UloQWnYrHubEogHtWg68CRaYGCLEDXwZDnGjiS7RKN62mN5ZGISlB00wrvKsZuj9qgSOo+bm+MozVKgowLEdnuMz5tZg0U94xsR1tUQQkcWamxs45GNLPIlhDzuHlzB3/QpqMYHCktOHRnTa4xIroPKZx2iXa4jt8wK6VKtrM27jOtkDG/i9Cim1Y4l2/wfIaRpBYcTdMwYGTD5WUVOLwsOCoGRyGMOue39ImMwwl4Z+24MJWkJeEB2O6shcdSAYHtrHOFIkanXRYXM8+6kU3glMamNOn+FI5uvbyXPqRIGoMDAP1NxNWY1SQKMAa4tFmhqJvWRjYCRzJRWIESOLJSZ7EWOrEGXMXYcWEqSQ/1A2C7sy5lw4msZhyMi+rIdAa6DsQiGrqaHE6Ksk6iFusqFakjsgicHD9RODaTRaGoIxrR0NXssk8kdh/3NhALTlr3WPSOFxwsOEdnMsgXdUQ0oNttH1pRMTgKX9RZrGksipAsnICrGDsuTBVgwKxrbA6NlMKCE5CLirpweltTzouLyRpkbBGF8lpw2ItCKsR7W5KIui0QJ6mLCgC6UiRAfF6XrJ4LB+sqHYc9LSnEoj6WfxWDo/BFncVaCgtOwDVw6hamCpsFR4ZaOJwP9aN4it3gaI3whSXWy9xoyHIeFcfNhy/XhtQCh7ioZgqSuag4WFeZHLIJyHcIbhWUwJGVehYckWcZBRxk7LgwldQxOAvdeuaJ4hMSHLjJWRQOeSkuJqsFxxIbQd2MhyckWbg5uo9L9VM8jHuJY3CWJIkFZ6YQFXwlFXCwrnoOEq9ECRyFLxzG4AjJ3hBlwak3KENmwaGL/ciUwOs1Fx7eFhzy/q7qp0gbg1NarM0YnNdBFpW50fBSP0XSoxoAoD1OqrJP5WVzUfGz4HjqQysBx2F6RQkcWalrwSlNrMWiHtRVEQIOMHNcmErmGBybxVpoH1ICyqIanvKQfWOmiUsWyGhZeEpFNzNiim5WwlEU+qqAK+lRDQDQZgicyVxUjj6kcBCF5kbDrwXHJqZQRpTAkZU6i3V3SxIRDcgVdBydzdo+hxsB76wdF6aSeBK1c+t1N5M+zBd1jM0KsuIEFBtRmlhdiBUzTVxWC04Gnc0k4LZQ1DE2E/A4tMN06/E7SdxT/EaA9Zbc0hghlYzTelxM4dRqcJjPfPWhFeWiUviijgUnHo2YqZqBx+EEHBvhuDCVxJOonSiMRSPoaRGcSRVQccRScKMLsSJrDI4l5Tka0dDbQr6T0HR/So6fKPQVvyHx5iNSIPdZBgl5suEAzjE4PgWwEjgKXzjYWZtBqkFPrAFmt7gqTCVpOXgAVRdr4WnGAcTgFMv60I0FR9JJtEIU9skUh8NJFOq6vmhjcOg1pRGX62R4xqJQ1/XSRkPF4CiE4iDrQNjEGuDO2lVhKplPE684qoHSZ9YzWrwWnPG5LHIFHZoG9LS4sCzI6uevWHj6zYKNEiyOnNzH47NZZI34FG8CR14LDr2mjC6ZBYexKJyYyyFjHArb0+rz/pB1bFYghcC55ZZbsHLlSqRSKaxfvx7PPPNMzef/9Kc/xdq1a5FKpXDaaafhl7/8ZUBXGiCOLDiCJtYqizUPXBWmkvo0cUktOAHE4FDx1t2cRNxNcTFZLTim66DcgiPF7p9TYDa9P7uak0jEPCwbIXAfEwuORJsjxqKQzqWdTQmk4j5T4mUdmxUIFzg//vGPcf311+MLX/gCnn/+eZxxxhnYtGkTRkdHbZ//xBNP4AMf+ACuuuoqvPDCC7j00ktx6aWX4pVXXgn4yjnjwN0ibGIN0ILjqjCVxMXEqu2shacZB2DB8Zx9w/lkbM9UWAr7ZDg0lcIpMHvE7wnUZkFJCdqoElPgJMxsPylgLAqZHLJJUQLHGf/8z/+Mq6++Gh/+8Idx8skn41vf+hYaGxvx3e9+1/b5//qv/4qLL74Yn/nMZ3DSSSfhK1/5Cs466yx84xvfCPjKOeNgsRY2sQaYReUqsFHmOjhViiP2iYqjogRwRhDdFbt2bZiWQlnTxCW24DBeeHxXwI1JbMExxmYGCcksOGw3bL7S/CtRZ1HVJ5vNYsuWLbjwwgvNv0UiEVx44YV48sknbV/z5JNPlj0fADZt2lT1+QCQyWQwNTVV9iM9LmJwAi/2F2AlY1eFqUJWBwcQXJEaCEQULl4LTvn3ElJ0sxJOO2vHtaiqEYIYnLQel8MKR2GcNOF5o2GHOouqPmNjYygUCujt7S37e29vL4aHh21fMzw87Or5AHDTTTehra3N/BkcHPR/8bxxkUU1PJmGrgdYKC5QC46LwlQyW3CqxeBYrHCB9iElgNiIYS8ZVIC8ZvCKhadP1Di0g1Pwp28LTghicDJIiC26WUkYLDgBHdfjFeEuqiDYvHkzJicnzZ8DBw6IvqT6OFDvVInP5wqYms8HcVWEAM2TrgpTSX0Wlb27hWYzZPJFTMzlgr6qQHbWnuunyF4Hx2iznpYUNA3IFooYD7roZiW8LDhTPivghiAGJ6PFkSvoGJ+ToGAjwPz8Ls8bDTtkPUalAqECp6urC9FoFCMjI2V/HxkZQV9fn+1r+vr6XD0fAJLJJFpbW8t+pMc6iVbZFabiUXQ0khNwh4I8zTjAnbWrwlShsOCUTwipeBSdTQkAglwcAWZRuTaNS3uaePl9lohF0NlEi/0JXsA5ufV8B6iGIAanIdUEQJJYKoD52GR20CagYnCckEgkcPbZZ+PBBx80/1YsFvHggw9iw4YNtq/ZsGFD2fMB4P7776/6/NBipmDrQKH6jqJPRKp4QLERrgtTORCFwqhh0hUapMpZFFr7cNHE4NhYCvtlCTTmsPCU96HH95X4NHF6Tc3NzQAkEKkU5jE4HjcadqgYHGdcf/31+I//+A9873vfw7Zt2/CJT3wCs7Oz+PCHPwwAuOKKK7B582bz+Z/61Kdw33334Z/+6Z+wfft2fPGLX8Rzzz2Ha6+9VtRX4IN11+owDicwzJ01X/XuujBVWZtJZsWpMSH0i6yFY91ZcxCFU+k85nPkMEPXu39pY3AWikJhAf+VcHAdTGfymMsafeg5yFh+gdNiCBxpMqkYlnCYyeQxnSFhDGzSxPmdecYS4efDv+9978ORI0fw+c9/HsPDw1i3bh3uu+8+M5B4//79iERKOmzjxo340Y9+hM997nP467/+a5xwwgm46667cOqpp4r6CnyIJgBoAPSaN7iQ3X9AO2u64DsuTFUpCmUqI15jse41qxkLmFitfZjPMG8zel92NMbdFxeTtRx8paVQ0+Sz4DAUhfQ7tTXE0ZDwWCCOXk8xDxTyQFT40lPC2LC1G6EL0lhwGB6jQvuwJRVDc5JB28t6EG4FUtxl1157bVULzCOPPLLgb5dffjkuv/xyzlclGE0jk0J+vmbac7+IUv8B1SdxfAYVJRqHE1EohBqLtVgLDl9RSOv7eApslN2CAxD3cSxpilThiyOHzQeT7JvK+yza7POqGGK0WUdrK4Ap8VY4Cm2zQhYoFoGId4cL0/ibYrEUNqFicBSecRAf0UsXxyAHZUD+V9cTq6bJm0lVY7Gmi7+QiTUaBzRjGuDgPijVT/Fwr8gag2M1y+fKs4uGgwz2r0TXuaTvjrCogOvQ5R44um7OFZ3txIIj3ApHYdhmvjYalVivRbaxWYESODLjYLEumcaDzKIKxv/qqTCVrJlUNeqTCHVvUEshwGXhKdVPcXmvcFqsmWBaCrGgmrFQC471npfNghOJGG53yCVwLAkcXR2LV+D42mhUUiZwJBubFSiBIzMOFmsh7o2A/K+eJlYZqxnrOlCoXtOlV/iJ4vxEoeczjAo5QCcB5tLtEm1EobUitbBif2ULD8MYnClGFXAZn47NBMs80d3RDkBg0c1KojEgYkSR+LXg8KiBo0XliqWyQQkcmXGwWNMbdjqdx2wmgGJ/AfpfPRWmktGCY52cbGJc6O5/OpPHdFpEsT9+otBzBVxOizUzKtKeaXbRXLZgZqsEjnnPa4aViQ3MKuCaY1OizYelzfo6WgAIKJxaC0bW1RGWMTghqYEDKIEjNw4W6+ZkDC1GVHwgMRwB+l89nX8jYzpqncW6ORlDS4r0oZBTxTmKQs9nGHFytzCj4j5rSETR1kBEhTBLnDX4X9OYvS2z+immKJRp81Fqs1QiZhZOlS7Q2KfVy1U9sXqEpAYOoASO3DgMmO0NMoYjQP+rGfnf7mJQylhQjE4IWrTqzroUhyNg8ucag0Pu3QE3fQhY3KAppos1M2xEodBsOOu1MF546PcZaPc53gM4ud41FW1WKpwqyTWaY9Pf9VDB5mourYassXE2KIEjMw531oFOrAH5X6fTuVJhqtBbcOofOSB0YuUkCmczeUylaXExtwdtSppBRbE5eqBPRMC/FQ5p9fPZAibnidvUd4E4hoXrmFFRtJQG4UoTaMzA6pXOFcwz0vpbXz/nUAFK4MiNw8W6L8hCcQH5X6mrpjUVQ5ObwlSMy5szgU5ONWrMCJ1YOYlCumtsSXooLiZrDRyKzeGRQq1wAJfDSWkfNiWipivcMzKWcKhqwZFk/mBg9aJzaUM8itYGFkX+VAyOggUOF+v+IMvE10h3Zonns29ktOA4ONrCnFgXUQyOrwMaA7rPPGNzn/W10npGghZwDoeTluqnpKD5dRVKmQBQXrRUmorUFAZWL2uQuO8+BFQMjoIRTi04lhRV7gS0s/acfSPlJFrf3SJ0YuWUReW5D4HwWHDKzqMSfKI4B7fesNeNhh0ylnCosHpJc6YYhUEMju+T4CtRMTgKJjiMjQh0Yg3ofCDPpcWlNIPXP9piMZ4oTl2mnlJTZY/BsbnPAt1o2MFBFPoSqZWY95kk4gFYYPWSzoLDIAaHaR8CKgZHwQjHMTjKgmMSdguOEBcVH7ee5yrG1muR1c8vcxYVw80H0zOMTFEoiXgAFrRZn3mmmCQbJAYxOL42GnbIPjYtKIEjMy5jcI7OZpHJF/heU0CxEZ4HZVhjcIyJdXw2i3SOcx9WwimLytfiKPsu0S4Gx/iek/M5zGcD7kPAUbaeWxa9Baeizej3nAqqcGo9GMbgMKliDKgYHAUjHC7W7Y1xJGOkK0enOFsuArfgeAwyliqLqv6E0NYQRypO+jDwYn/cLTiLMQZnYZu1JGNoSkQBCLLE8YjBmWK4+5fyqIby+6wlFTcz/qSIw2ERg0Nr4LAo8geoGBwFIxzurDVNC+6wv6BicLyeYSSjBceBSVfTtLLzjAKFVwyO1z4EwmPBsSzWmqaZRTeFuDg4iMJSJWoWQcYyWnAWthmdS0dkiMNRMTi+UAJHZlws1oH5jgPYWc9nC5iY81hcTOZKxnXazKxnFLgFh31shO/iYmabSbpLrLJYCw1SZew+zuQLGJsx+nDRxuAs3LAJj6Wy4jMGJ5svYmyGiCMVg6OQC5tiYtUIbGINIAbHV3ExmS04ddpM2MTq4j5ziu/iYrLvEqvERlBLh5DFkfHmg7q7k7EI2hsZHN7J4T7zjU2b9YraaNjhMwZndDoNXQcS0QiWNCXYXJOKwVEwwcXO2kxR5T0oA7Dg+CouJmUWlTO3XqBnilnhIAqtZnFPxcU4VOVlimkpLN9ZU5Eq5NBUxqKQeYE4DpZC39hs2PpFuhkrqXKfOWXY7zi0Q8XgKJjgYrEOzIITQAyOr8JUUhYTc2vBCfjaOcRGeD5FnBJQrJdnqllwRLo3zJRnNguPdaPBBBndxzVicKSohePTgsM8/gaQ37pqQQkcmXFRtK63NaCJNRALjo/ARhktOK5jcAK+dg6xEUN+66dIn0VlLwpL58KJEDg05ZnNwsO0ijEgt/vYJgZHKheVxw0b0zpGFBWDo2CCjBacIGJw/AxKmSsZ17Xg0CwqURYcdsJq2O/uX/ZdoulukdCCw2hsMt/9S13CwWLBCbJwaj1ktOCoGBwFE1y4W6gYGJ1OI18o8rumIC04nlxUElpwHFaY7TWO3BidziDHsw8r4RiD492CI3kMjhkwax+DMzaTQTYfYB8CzEUh892/jBYcmw1bn9mHARROrYfPDZtZx4hVDRxAxeAoGOFise5sTiIW0VDUYaZ2ciGIGBw/xcWknESdWXC6mkgf6jpwZDpAgcZhZ03N+56rp3I4GZspVXbWS5oSSESNopvTAd+DpihkFIND+5DV4hiSGJyOxjgSQRVOrYfPDRvzKsaA/NZVC0rgyIwL9R6NaJY4HI4ujgAsOP6CjGU0gzuzRkTK+jDA61cWHPdUaTNS7I9M/IG7OHKsY3AYBxnLuPmw2bCRopuSxOH4TJpQMTgKeXGp3ntbA5hYOcfglBcX8xJkLOMkWv80cYqQNGMG591YsRYX8x+DI6nAqWGN6BdVC4ehKMwVihid9tmHlUi5+bC/z/pEbDTs8GHByVv6kKnAUTE4Cia4VO9UEHAdlJwXHmoSTsQi6PBSXIxBaXPmuJgQhASp+qy1UUlZcbFGj8XFOJyMzZQaQlpYmjHDsXlkOgNdB2IRDV1NjBYyBucqMafKhq2UtCH4Wn3E4IzNZFEo6ohFNHQ2MxQjKgZHwQS6IOoFoFD/ZNu+IMyqnGNwfBcXk3ESdTEhlNKMA7x+xhYcurD3tiURiXgsLsbhZGym1NhZC3NvMBybdBz2tqa892ElMm4+qojCXpHZcFZ8WHBoqEJvawpRVn0IqBgcBSOsg86ByyWQVHHOFhyzuJjXwEZ6XcW8I1EYCC4mBCEWHMaF/kyR6ueARg4nYzOlRlXexWDB4RK74bOmCxeqiMJ+kfWMrPg4gd1XLGMtVAyOggkuBU4gEyvnGBzfE6vLNgsEFxOCkBPF6SRayAJF/2mxTCZW2WNwapyrFNjBt5UwFIXMqxgDpb50aJEOBDMwu3xsBnb0TT18bD641MABVAyOghGRCBA1YhjcnCg+Fd4sKt9pjdZBJ4sp3IUoDMTNWAnjNvOdQQUEUlDSF/S6ChlA18v+S7wFx//OmqsFB5DHhVxFFAo9Fd4K3RQVMkDRXV0lOocwrYGj6+RaABWDo2CACxMlnVhHJjMoFvU6z/YI5xgc3xNrJApEjOBkaSw4zrNbrFlU3PqwEsZWL1rH6HVhwQEWiEJqhRuZzqAQVB8CTHfWQ37rGNlRdp9JsPnQ9aoZjvTeHZ3O8C2cWg9rXxbctRnXc6gAZcGpxd69e3HVVVfhuOOOQ0NDA1avXo0vfOELyGZrF6k7//zzoWla2c/HP/7xgK5aAC5MlD0tKWgakC0UMT7HqdgfbwvOFINByeFsJV+Yk2j979TdkoSmAbmCjqOzHAs2WonGgEiM/M6gzZhYcGSPwbEuiBXWiO6WJKIRDYWijqMzAS3kZTtrSWNwIhEgal8BWggFy/iquM+6mkt9yLVwaj2sVhKXbUYTFZidJQaUzw8qBqc627dvR7FYxK233opXX30VN998M771rW/hr//6r+u+9uqrr8bQ0JD58w//8A8BXLEgXFT/TMQi6GrmXAuHewyOjyrGFA6nY3umWChNpA7aLB6NoJt3H9rBsH7QsF83Y42dtTREYoBmTJ8V1ohoRENPC+nDwILFrdfAQBRyC1BlnLHnC6tgqHC3RCMaes0+FCjGojFAi5LfXbYZ13OotEhpUyQxwq7w4osvxsUXX2z+e9WqVdixYwe++c1v4mtf+1rN1zY2NqKvr4/3JcqBy4WnrzWFI9MZDE+mcerSNrbXUiwy3SVWki8UzSMKfA1KH5kHzClbeJx9p/62FEanMxianMdpyxj3YTViSSA743vhYVJcrMbOWho0jfRnbs52bPa2pjA0mcbQZBpnDAZwPQx31oWibhaaZGrBAciGLTMpRwyOea9rQHRhza2+thQOT6aDLbppR7zBGJvO26xo6UMuLqpYAxkDkiNVDM7k5CSWLFlS93k//OEP0dXVhVNPPRWbN2/G3NxczednMhlMTU2V/YQGl9U/zTRjHoPS6gPmEINzZCaDIoviYjJZcMp81s7arM8ShxMYPkvCU2hxsWhEM62JrvHQZkKoYY0IvFAcbTMGO+ujMxnkizoiGkxrIjNkOgzXaiW0WawDKZzqBA9tdnQ2i1xBh6bBtCYyIUQ1cACBFpxKdu7cia9//et1rTd/8id/ghUrVmBgYAAvvfQS/vf//t/YsWMHfv7zn1d9zU033YQvfelLrC85GFxacLhOrGUmXfYLD7PiYjId10CvIRIj5mYHCJlYGS08ZnExIw7FE2U7a4+VkIOgRl0XrhsNO6yxcT531vS+62lJIRZlvAdmJKSZUCfOq1e6WjjO24xec3dzEnGWfRiiGjgABwvOjTfeuCAIuPJn+/btZa85dOgQLr74Ylx++eW4+uqra77/xz72MWzatAmnnXYaPvjBD+L73/8+7rzzTuzatavqazZv3ozJyUnz58CBA0y+ayC4tEZwLRRHJwQtamvS9QuzwEaZTi2uUmejFkImVkaikEnshvUkcZnN4A6qGY8EHYPDpAYOp/gbQC4LTp2x2c9zLnWDhzYbYhHLaEeIauAAHCw4N9xwA6688sqaz1m1apX5++HDh3HBBRdg48aN+Pa3v+3689avXw+AWIBWr15t+5xkMolkMhwdsgCXGUFcD2vkXD6f2cQqlQXH/cIjZGJlVEa/lEG1iKsYU2qeRxWwFc6DkK4Gk0D/avg4W4k5de4zYfWMKvHQZsM84m+AUJ1DBXAQON3d3eju7nb03EOHDuGCCy7A2Wefjdtuuw2RiHuD0tatWwEA/f39rl8bClxacHp5noLL+QBEZhOrTKcWe8gGElPsjy7W/hYeJhOr7DVwKDUsheaZYoG5qNiJwuEpxqeIW6lRATpw6oxNYWeKVeLJgsNgo2FHyGJwhAUZHzp0COeffz6WL1+Or33tazhy5AiGh4cxPDxc9py1a9fimWeeAQDs2rULX/nKV7Blyxbs3bsX99xzD6644gq89a1vxemnny7qq/DFZUaQtdS/rjMuMpYLyoLjc1DKFGTswaRrraLKvA+rwSwGh4GbkXMxSWbUsOBYrXCB9CHTc6g4WnBqnOEVOC4sOIGNQzt8xOC8ns+hAgQGGd9///3YuXMndu7ciWXLlpX9H72ZcrkcduzYYWZJJRIJPPDAA/iXf/kXzM7OYnBwEJdddhk+97nPBX79geE2BsfYOc5lC5hK59HWwDBWxkVFXi8wi8GRqdaGB5MutcLN5wqYms+jrZF9vNMCGC08wyzOMGLobuFKDVHY00r+L5sv4thcDkuaOAdLM7SuMtto2CHV5qP2fdbTQtoyWyhifDaLTtYZZU5RMTieESZwrrzyyrqxOitXrixTzoODg3j00Uc5X5lkuIzBaUhE0d4Yx8RcDsOTacYCJyQxOKbrQAY/v3trRCoeRUdjHMfmchiamg9I4LBxHbA5h8p55Weh1BCFyVgUXc0JjM1kMTyZDkDgsBubw7xq4AByVRmvY8GhhVPHZjIYmkyLEzheYnDoXMryHCogdDE4UtXBUdjgYcfDzf/PMQanyLK4mJQWHHffKfAgVQaB2eXFxfwEGYfMglNFFJZiqQIQ2oxicHRdL200WC+OQOji46Q4dNOlBcfahyoGRyE3HqrylnzHjCdWjq6DsVmGxcVkyqLyeLRF4BMrgxgcZsXFaJtJb8GpfZ/18Qz4r4TR2Dw2l0M2Tw6X7OUpcKQam9XvVSEB/5W4jMGZmMshY/QhdZUyI2QxOErgyI4HCw63NGOO6bt0IWdSXEyqXaK3HU/gKaoM0neZFRcLmwWniigMtA8ZufVo7EZXcxKJGIflQaYaVQ7cLXJZcJxdA533O5sSSMWjbK8lZDE4SuDIjgd3S1+r4d6YYC1w+B2AeNi41l4Wfn+Zdokedzz95u4/oDgiBhYcZoGNuZDsEuuIQuoeOMx6HNphjs1GX29D54y+Nk4LmIxjs8ZiTa1Yh0UeuOkybmmIRaB/NVQMjoIpHgJmB9o5DUqOFpzDE+Ral7YzGJQy7RJN14G7NutvD18MDu3DgXafk1+ejTWCO3VEIR2HgYhUj67QSuicsdRvH1ZDJutqrv6GjbYD882iG1wmABw25gzf49AOFYOjYIoHCw4dlHTBYQbHGBxzcWQRFCfVLpGKQnffiy6Oh1j3YTUYLDzMJtZcSHaJde6zgTZO49COnHHgsE+r1yFWIrUaUo3N+pZC2g5CLTguSziUNoscBY7s1lUDJXBkp8aBftUwB+UE4wJVHC04Qyx3HTKdd+PRGmEVqYEUGWOw8DBbHM3FWnYLTh2BYy6OARSKY1Toj7rTmGw07JDSulpL4BhWuIk0ikVBxf5cxuCULKkcxo+KwVEwxUsMjuF7nc8VMDGXY3ctHGNwmO4cpTyx2G2aOHl+OkcKxXGHgShk5mYMi5+/jtWrry0FTSPF/o7OZvleiwN3ixOGgrLgyDA2HQRm97amENFIsb+xWUEbJpcxOMxcxXaEZWwaKIEjOx5icFJxUmQMYOziCCQGZ5FZcDweb5GMRdFtpFoH4uJgkEXFbGINTZp47Z11PBox0+W59yEj1wHX3T8gWY2q+qIwHo2UAo1FxeG4jcGhVjgeAicsRTgNlMCRHY8TwgCPIFVOMTiZfAGj0+T7MZlYpTyx2P33on0YSByOT1GYzRctfcgoyFj2XaKDnfUAr3i4ShicE5cvFM16L9yDjGUYmw7ns8D6sBouYnC49yGjbL2gUAJHdjwU+gM4BThysuCMTJL3TcYibEray2TB8ZERRF09gUysPmNwRqbS0HVS3r7Tbx+GLU28hrulJFI57/4ZuKhGpjMo6kA8qqGL17EEcYksOA7vM/ECx3kMzuh0BoWijnhU818w1Q5GrtCgUAJHdjweTsdlUHKKwTlkcU9pmub/DWXK1PCRvhtoFo7PLKpSFlzKfx9yjPViioNYL24ZjZUwcFHRa+xva0AkwmAc2iFTDI7D+2ygLeCMxkpcxOBYa+Bw6UNG5QiCQgkc2fG4WHNJM+ZkwWEeFCdTrQ0f2S3WbDju+HQd0DRaJn0YlknUiQWnLSArHAP3Mff4G0CuGByHbj1pLDgO5jNqKWR+BhXFzHBULioFCzymVXLZOXKKwWE+scpkwfGxsw60Fo65WHu14DAMbAyLBcdBrFfgMTg+gj+518AB5IqPM9us9mLNJZ7RDS5icLjWwLFegwoyVjCBLtaFLFAsOn4Zl90/LwvOZMk0zgSpYnC8140IdOdIJ3m6Q3MJ08WRQcBsIMgUg8MgMJv74gjIOTbrLNYDQcbC2eEiTIG7FU5ZcBRMsU7yLiwSdGIdmU4jV3AujGrCLQaHcdS/dZcYRJG8Wvioykv78MhMxjzhmRsua21UwvSojbAEMpqisH4MzthMBpl8gd+1MAjM5ppeTJGpRhVdrOuMzVIfZpHOcezDargYm1xr4ADhcR8bKIEjOx4FTmdTAolYBLrO8CTcsMXgAOJ3ij5icKx9ODLF2QJgnURdWAopTPuQUVVe7jgImG1vjKPBONGZ64nUDDYfpSBjnjE4xtyhF4BCnt/nOMGhKGxriKMxQfpQiJvKQwwOF4Gj6ypNXMGYaAyIxMjvLgROJKKZAY7MBiWHGBxd19mbVa0TlkeXCzN8+Kw1TTN3j9zjcKxt5jI+Qtd1HDrGIchYeguOcX3FXNXFWtM09AcRS8XArXcoCBeVj/uMKcUCUDA2P3XuM03TxAYa0/m2kKlrkQ7kHCpAxeAoGOI5k4rxoORgwZmaz2MuS8y+zHYd0TgQiZPfRZvCfZp0A/P/W0WryzabSucxS/uQRRxV2IKMgZqL9VLe2XDFAonRAzzvrKfTOUyniUjr5ylwopa5Q2SWY9liXf/7Blp0sxKrmKixBsxk8picJ8e6cLHCWecF2YtwGiiBEwY81o6gQbvMBiWHhYdeW2dTAinDlM8EB/ERgeDT3RJYLZxIxHKfubN60dobS5oSaEj47EPrYi37JGrt05qp4pz7kMHOmlp52xriaE7GWFyVPZFISeSIzHK0iisH91mgRTcrcRimQM8Ra03F0JKKs78Oeo9H4sSzEAKUwAkDCbpYu00VZzwoOVhwuAXFmRkuAl1UxQJxX1ivxyWBZeEAnusHMY3dCJMZXNMcZZ9xd28w2FkHkiJOkaGMA+2vaIKIrjoEWnSzkmgc0IyNQ42xeXiSc5C4w7R6mVACJwyYk+isq5cxnVh1nctJsqUCcYwXMwcpvNyxTuAeRWFglXABz6niTAMbw2YGdyAKudczom3mcLG2g2kWXD081vZiisv6VP283Yz1cCAKuaf5mynikm88LCiBEwY8LtZMa+EwWKzt4LZz9FnXhQllZnCvMThBChxv9xnTiZXBYh0oDu4z7iKV4TENwVhwnGcFccNlwoTwWjgORKFpSeUlUhmdWB8kIZhBFF4Xa6aLo3XRY2iiPMy6Bg5FCguOxWcd8Rab0m+ZWHXeNX083mdMs+A4WAm54mDhsW40uPQhk2MaAqiBQ3FRmZcbLis/W7MZuY9DOxxYcLi7GR3WDZIJJXDCgGcLDhkU05k8ptI5f9dg9VkzDDCzHvDHFBlicGjMko8dD/X9z2YLmJrnXDfEpwWHqYsqLGZwB/dZnxGbNJ8rYGLO5zi0IyzHNFCkcFG5iyehfZjJFzE+m+V1VdVx4Arl76JSFhwFDzwu1o2JGDoaSTS9bytOlk+Jbm6lxWXIojJ31t5deg2JKJY0JQAEUQvH28LD9hyqkBT5ozi4z1LxKLqayT1AY86YwvSYhgDaXYogY3d1g5KxKLpbjD4UEYfjKAaHd5AxXQOUwFGwxMdibR4U53dQcjiDJFcomhV6F6WLilHWQWD+fw8uqkJRxzDLPgxbpobDzLNSRiOHxdHnzrpQ1M0qy9xOobbiMVuPKR7uMylq4VQROMWibpZr4CZwVAyOggs+Fmtmg5LD+UAjU2kUdSAe1cwdLjOkCDKeLb8Wj5gpqjx2/1Y83Gej02kUijriUQ3dLPowZKcVO73P+nmmGfusT3VkOoN8UUc0oqGnhfE4tEMGC46H+4yK1CHe49COOm02NpNBrqAjogG9vPrQjMEJydiEEjjhIN5EHrPu0sQBhhkcdLFOsA8w7m9rQCSiMXtfAHJZcHy2GZeT4e3wIArpfdXXlmLThxyOA+GKQ7ce12w4n8c00M1PX2sKsWgAS4IMMTgeFmuhtXDqWL1oDRyufWhaCkNiXYUSOOHAx2JNi6/5FzjsXQfc4m8AOYKMs2wsOIHVwvFwn5k1cFi5NsLm53coCrnWwvFpXeU6Du2QwYLjYbEObKNhR502CyTNn4MVnzdK4IQBH4s1s0HJ4eY+zNNnLFOQse8YnIAEjocjQZhPrFn2lkKuOGwzriLVZ2xEoDVwADlicEy3ngsLjsQxOIH0YVjOiLMgVOCsXLkSmqaV/Xz1q1+t+Zp0Oo1rrrkGnZ2daG5uxmWXXYaRkZGArlgQDIKMfQ9K0xrR5O99LHBNa5TCRWUIUt8uqqCDjL0IHEa7f1MUsrvPuOLwPuO6+/fpohriXeK/EtMaIcHmw4UrNNCq4pXUseDQ+Z1bkT9AWXC88OUvfxlDQ0Pmzyc/+cmaz//0pz+N//mf/8FPf/pTPProozh8+DD++I//OKCrFYSPxZoOyuGpNPKFovdr4HBzHzrGqQYOUFqsRU6ijF1Uw1Np5Pz0YT28uKiOMd45MhKFgeFQFNL2GZlOI5tn3Ic+MxwP0j7kcQK1HaY1IhPM59nhIfOMiofR6Qwy+QKPq6pOHasXHYfcauAA4YuPAyD8SNCWlhb09fU5eu7k5CS+853v4Ec/+hHe9ra3AQBuu+02nHTSSXjqqafwxje+keelisNHRlBPSxKJaATZQhHDU2ks6/C4cHCIjThgDMrBJYvVgsPGRdXVnEQiFkE2X8TwZBqDSzgt/h7uM7o4er6vKmEkCgMj7swa0dWcQCoeQTpXxNDkPFZ0MrRQZf2JwoPHyOuX8bqvKvHgCmWOh/mssymBhngU87kCDk+kcVxXgFbGOmEKdBwOshqHdigLjnu++tWvorOzE2eeeSb+8R//Efl89WqtW7ZsQS6Xw4UXXmj+be3atVi+fDmefPLJqq/LZDKYmpoq+wkVPhbrSETD0g7y+gPjPiYUc2fNZlDrul6aWHkMShmCjBlZIyIRDcvaaR9y/D4u7zNd13HA6MPBDtZBxmEROM4sOJqmmfc5XYyYkfPuPibjMIDF0UpMAguOh4KSpA8DGId21Nl8HDDnUhWDY0WowPnLv/xL3HHHHXj44Yfx53/+5/i7v/s7fPazn636/OHhYSQSCbS3t5f9vbe3F8PDw1Vfd9NNN6Gtrc38GRwcZPUVgiHh3YIDlG56Kig8wVi9H53NIp0rQtN4Z1HJsEv0v3DQ3TXzxdEKbTOHbr1jcznMZYmpnl2QcchcVC6sEdwWRx9tNjGXw0yGbCq5Lo5WZIjBMYPZ3YnC0lwa8LXTvs0uvHcm53OYTtM+VBYcK8wFzo033rggcLjyZ/v27QCA66+/Hueffz5OP/10fPzjH8c//dM/4etf/zoyGbbKfvPmzZicnDR/Dhw4wPT9ueOzaB296Q/4GZSMXQd0ku9tSSEZ83YQZU1ksOAwPN7CXBz9iNR6uBSFZh+2JpGKM+pDUxSGJcjYeWD2IDcLjvf7jF5LdwvDPqxHiDcf1D3MdRzaQcdDbmEtNDoOu5oTaEhw7EOfwewiYB6Dc8MNN+DKK6+s+ZxVq1bZ/n39+vXI5/PYu3cv1qxZs+D/+/r6kM1mMTExUWbFGRkZqRnHk0wmkUwGUKGTFz4nBLYWHDYC5yDP+BtAkjRxdnFL3BZHKy5FIfP4G+tnh2WX6GJschOpHq0R1msJzHoDlK7TQ+FSZphWr/BbcLiMQztCaMFhLnC6u7vR3d3t6bVbt25FJBJBT0+P7f+fffbZiMfjePDBB3HZZZcBAHbs2IH9+/djw4YNnq9ZenxacOiu4yCLGBxGN/cBnvE3gFy7RAZxS4H4/l2KQubxN0D4XFQu3Hrm7p91H/qy4NA+DLC96XgQal2dKb8Wh9B2CjwGp0abHQxKpDKOwwwCYVlUTz75JJ5++mlccMEFaGlpwZNPPolPf/rT+NM//VN0dHQAAA4dOoS3v/3t+P73v483vOENaGtrw1VXXYXrr78eS5YsQWtrKz75yU9iw4YNizeDCpDEgsM2+LMU2MjbgiMyyJjdjmcwyBgch/cZlyBxHwGzQqD3mQNrBLfdvw9RWNr9B7grd9Fm3PA4n3ELFK9HjeN6StZwziKVisKwjE0IFDjJZBJ33HEHvvjFLyKTyeC4447Dpz/9aVx//fXmc3K5HHbs2IG5udIidfPNNyMSieCyyy5DJpPBpk2b8O///u8ivkJwmDVd0kCxCETchU7RXcfQFKnBkYh5CL1idK4She6AFrUFh2FxRLoAjUynkckX+MQtxby5qJi6GcNmwanhOqiEjsPR6QzSuQLDuCXv9xn3cWhHopk8htBFRe/1sZkM5rMFvjEvVhLVRWGpDzmLVI9tJhJhAuess87CU089VfM5K1euhK7rZX9LpVK45ZZbcMstt/C8PLmwWgDy865vMCY1OBhbcGhhqmW8Y3A8ikImMCxaF0gNDo9BxmwtOCGrZEwXa5vgz0raG+NoSkQxmy3g0MQ8Vnc3s7kGBhYcbrFwdvjMCmVCzlvcUltDHM3JGGYyeRyamMPxPS0cLs6GGhbpwNL8w3aMCiSog6NwgLVypAeLhLUGh+daOGZGkP+JsFgMoPZGpSgUAUMXVSA1OOhkn08DxdqVWrnVTzGtESEJZLQGzFZsxiopH4cM+9Dj5sPah4FacGRwUXnMCi0bh0G6qaoEZpfXE+M4ZoqF0jyaYCTMA0AJnDAQiZREjsdJwXccDsMsqiMzGWQLRUQjmnnaOXN8ikImMD6/i3scjnU3W2d3fWQmg0y+iIjG+PybsLmo6Hgo5oFCtu7TqaWEWR/quucsqqOzWcznCvxqUVXDtHrNEetq0OSzpL8AT+4WMw4nyEDjKhacY3M5zLKuRWWH9XPDUoQTSuCEB58xJWb0v2eBw85FRXevfa0pxKKcbsFIpFSvQdROkXFaJZNg8VrEUoBm9EedNqMLdH9bA+Ks+rBYtFRLDYuLynKdjgKNGddRyacBGJYjl2OTey2qaljFqwg3ldWd6EHgMBepTqDXWcgChVK1fzoXMK1FZYcZY6aFx7oKJXDCg+9ifz4HJcM08cD8/iIzqayLNaOgvEEWBRtroWmOA0Dp4riUpVnc6koMiwUnGgeiRo0tEZlU1uBml/eZkPgbwLCuauR3EWOTtlkkTvrPJcxFqhOs4tUi0GjIAXcXo5lW30zmiZCgBE5Y8GvB8VODo1gsnd3CYLEOLHNDZLaGdbFmZNLlbsEBLL7+mZpP4xJ/Y12sQ3RisZvCdczdG3SxiyaBiLsdPPdaVNWIRMTG4fgMlh0UUewvlrRYV0v3zkEetajsYJgwESRK4IQFn0cP+No5li3WDC04vCfWJBU4tRdrLpQt1mziG3wHijvB4WLNJbCRLtaxBjFZb14xi7DVX6yZuzdYZFAFWQOHIrKasZlB5S1YlkugeD2s1lXLGhCYSPVRLVskIZpFXuck/C3WlTU4XMF4Zx1YeXihk6glZonRYm2tweG6D53iWOBwKC4WtgBjigcLztHZLGYz+TrPdkDYauBQRKaK+zwjjpa2OGY5qDQQTKtXaQ0IzM3IOGEiKJTACQtJf+4WWoMDAA5NuNw90kmI0c46sMqbdOHJCLDgcDhTidbgADi6qRwKaS7FxcJ20CbFhcBpa4ijNUX60PU4tMOHKORei6oWcWeuUC74dFG1puJoayCxO1zdxZXYFJUMTKQqC46CKz4Xa03TTEGx/6jLQclwsc4Xijg8EVB5eJ9WL19k2S/W1hoc+3nXwqmxWBeKurk4MxWpYTtok+IynoS22T6349AOj/VcCkHUoqqFeZ8JzKLyUc+FWkxcz6V+qDhRPJB6YhQlcBRcMRfrac9vsaKTTqwurUBUVCX9F3g6PJFGvqgjEYugr5Vz7Q2RQcacFuuVRhVqJoujHQ4EzuGJeeQKpA/7WfZhaF1U7u4zz+PQDo8VeYcm55EtFBGPanzrp1QjxC4qAGY1eG4bDTsqLDjk2JYiYhGNfx2jnD+rlyiUwAkLSaMkuI/Fmg7KfW4HJRVVCf9lyfcak/qKJY2IRDinG8oQg8N4QljRxXD3b4eDLCr62YMdDWz7MGwHbVJc3mdMF0ePi/V+sw8bEeU9Du0QaV1lMDZXGFa4vSxEqlMqyl7sHTP6cEkjv3pilKx/q5cIlMAJCwziSUo7R5cTK0MLDhVX9Fq44jDlmQvWuhEMWbGEWnA4TawOrBH7xsn/rfRyplktQmvBoQuPsz5Z2UkXRwYCx1ys3fUF/exAxqEd8YXxJIHBYGxyt6TaUSGk9xvjcDnvWEaAidVLBErghAUG7ha6OLredTBcrPeNGRYc1oujHSJ3iRk+AmelV5HqFAfxJPSzl7NeHBkeBxIoLsfmcmMc7mchUj3GRlCRGsg4tCP0LirO49COSguO8dkrgxCp5hoQLuuqEjhhwVTv/mNwDo7Po1CsfTBgGQwtOIHuHH1mnvkiM11+DYxYYZwifuDYnLs+dIoDq9feMU4WHNNFFTaB485FtbKrdKZYvuDzLCaPR6jsGxNswQm7i8q49w9NzCPntw+dUnGfUSvu8iBEqkdLoWiUwAkLNAbHh4tqoL0B8aiGbKGIoUkXKaoMY3D2B7lzFBmDQyfupP82s9LXmkIiGkGuoJvZaExxYI3Yz8vNaIpCtm3GHZfult6WFBKxCPJFHYcn0v4+26NbL1BXsR0yuKh8xHr1tCSRikdIRmFQFY0XCJwgLTgqi0rBEwYuqmhEM9MJXaU3MrLgFIt6sIOStlnGu9XLM/QzGbuoohHNTFHlYh6vIwp1XS8FirMWqRk+opA7Lq0RkYjGLkjVQ2C2ruvm7l+ci0rk5sO/NYL0oUeXv1csLirShwGKVCVwFFxhFDC7wkuAI6MYnNHpDDL5IqKRgFJTRU6iHK0RZoDjOIfvVafNSCVs0odLWfchJ7cedzzcZ8xSxT0UrTsyk8FctgBNC6AWVTVcHG/BHEYZjjQGLbBUcUua+NHZLGYyeaMPAxQ4IctwVAInLJhp4n4FjofFkZEFh+50lnU0IM47rREQWweHk4sKKE2sfCw4ta0R9DMH2ombhSmZKfIYOgsOXayd98cKVlk4pihsdfwSar0daGtAMubugE5miCz0x2ixNrPhxoISOKVaaPssfZiKB9CHKgZHwRXT3cLGgrPPzaDMsnG3mEFxQaQ1AmLTxDllUQHWFFWeFhz7+4OKVOYBxoBFFDpfrKXAw33GLFWcCpyU8zYzs2+6BAZzh/g0cUqpnlFA34GOi8xM8HMpozYLGiVwwgJzF5WLQUlvbp8761L8TUC7AKFp4vzcLVxTVOu4W/bz9PtzilvijgcX1XJWi6MHq9d+c3EUuBuXYmz6E9Ke3P1+MBNNpoIXqZzqevFGCZywQBfKQhbIZz2/jbWKqq47TDNmZI0INCgOKF94nH5XVjDMPKvE6t5w3IdOqePWK1Wi5rA4hjWLyoO7xVrPqOgn3d/DYh1o/ZRqmIu1iAQAQxS6sHrZsdIyl/rqQ6dY2ixwkaoK/Sm4YhUXPnY9yzoaENGAuWwBR2Yyzl6UZRODE3hxMXq9xTwRhkHCMSNoaXsDohEN87kCjkw77EOnWC2FNuKJq0gNq8DxcDL2gNGHmXwRI9M+UsU9tJnwFHGgzBoROIwsOP1tKVJ2I1/E8JTPdH8nUEGWmQ5epIZ0bCqBExaicSCaJL/78FsnY1H0t7k8Cde04Hi/uXVdN+N+AhuU1iBCn7FLruHookrEIubheszN41Tg6AUgXy6euKaIA+FNE7cmADi0qMWjETODyZer0YvAEZ0iDpQt1oFSLDITOLFoxMxgCiRV3GrBGedUTdyOQg7IG7V+fFq9gkYJnDCRZOO3pn5bx4uj6W7xPiGOz2YxnckDIIfDBUI0BsSMU3aD9vVz9llzCzS29nGFkJ6Yy2E6TfqQeXBjsVi6z8ImcOikrxdd3Wcr/PZhPlOyTDpss8m5HCbmcgACDFC1g4qLQhbIBWD9oGRnABgilMF9Rq1gruqKeYW2WXYGE7Np4/MDEKlpi5UtZAkASuCECUZ1XeigoCX368IgTZyKqf62VDBpjRQRtXAKOSBvTNqcFmtPweJOiERLfvYK98Ee47N6W5NoSDDuQ6swCJvAiaWASJz8np50/DJqydzjNc3Yav1wKKTp/dLdkkRTMubtc1mQaAZgnGIepJuKflY0AcRTvt+ObjT2BGnBAdCMeXQ1J9AcRB9mjHs63kTmhxChBE6YSLAJzFtlnGe0e8zBbjOfAYo54/O9C5xdR8hnre4OOApfRC0ca/9wWqxXdZHvtWuUw/cy01HLF57dR8hncelDKnC0aMnqFhY0rWTFSTtfrM1xeMSjdZGKqUSz44WnNA4F1zOJREpjw0Wb+YZxLMmqbtqHAcwvsaQZptCMeawKai5NswnKFoESOGGCUar46h4Xi6M1doWJwAl4YjXrBwU4idL+iSZJ7BQHzD70ujjWItVGHiusEVxFqnXh0TT278+bKqKwFr770MNiLWyjYYeHNvMNXawZuVpoO3IZh3YYfd2izQXXhxm2bRYkSuCECUanYx9vDIw9Y7P1T6SmcRGxBhLT4hEqpuikHhh0sQ7UDM7u9PVqUKG49+is/xOpK6kmcEY5ilRGgZ/C8GDBoQvUvqNz3k6k9iJwRjla4dySEiBwGFtwrH2YzQdwqrhx3c2YD26zqCw4ikBgdHjkQHsDkrEIsoUiDh6r4/9ntFjvFrVzbGgnj/MTwX1mACmVpEQ7OVX8AOvTjKss1ubun4dIDes5VBQP1oi+1hQaE1Hki7q384w8iEKufegWIS4qQ7RTEe+T3tYkmhJRFIp6MBWNjbHZos0H14fKgqMIBHNnPeHrbaIRDccZ/v+6plUG2UDZfNGsvRG4wKlijeAKxyJ/lEhEs8ThMDaP27RZrlA005m5u6jCiIf7LBLRzBgOT33oss3yhaIZZCw8BgewiMIAU8UZ32eapplCYyePeLgK9ETJgnO8isGpixI4YYJaIxgs1o7jcBhYcPaPE1dYUyKK3tak5/fxhAiBE4CLCuAYh2PTZvvH55Av6mhMRNHXyiEI+HUocABrDIeHxdHlMQ0Hjs0jV9CRikcw0CboFHErIlxUjGNwgGDjcOYjJPOuIzqPgfaA+lBZcNzzyCOPQNM0259nn3226uvOP//8Bc//+Mc/HuCVC4ROogzcLY4HJbUWpdo9f9ZOS/yNFnQAqRCBE8yZSnQXznxitXG3UAvDqu4mRCIc+jCkZ92YeAyY9bU4unRRmX3Y1cynD92yCLKoAI7j0IapItlcLG8qIBpUH9K5M4QWHGGFEDZu3IihoaGyv/3N3/wNHnzwQZxzzjk1X3v11Vfjy1/+svnvxsZwnY/hGSoyfLqoABeDcv4YeaTWIw8IzdwQ4qIKxoJzfI+P3X8tbNpsF88UccDToZFS4SHIGGAlcJy12U6Z4m8AMVlUjM6hsuLLCueSo/kG9AFY2pjn/lkm5thkE7cUJMIETiKRQF9fn/nvXC6Hu+++G5/85Cfr7vIbGxvLXvu6oaGDPLJwUTkdlAwsOEJrb4gQONTCRvuLE7QPd47OQNd1dtYxW4HDWaSGPYvKqwWnpxSD47oPXQocrllwXlgEWVRASTDuZj0ObRjNxnEKgL5kjttnLEDF4PjnnnvuwdGjR/HhD3+47nN/+MMfoqurC6eeeio2b96MubnaGQiZTAZTU1NlP6GEoYuKBjeOz2YxPlvjIEoGi3VpYhVhwWknjwysXo4xrV58Bc5xXU3QNGByPle7D90iVOBIYl1wi0cLzspO0odT6TzGZlz2oVuBY/Th8bJZcIJ0UdF7mqHAWdHZiIgGTGfy7A+/reDwPKmr1RUP8HgLFYPjn+985zvYtGkTli1bVvN5f/Inf4If/OAHePjhh7F582b813/9F/70T/+05mtuuukmtLW1mT+Dg4MsLz04GC7WjYkYlhpBajUrqZoCp93T5+i6blqJhEysQiw4wQicVDxqHtjI1Dxe0Wa6rpdEag+n3X9AVi9ueLTgpOJRDBoHNrp2U7kQONZxKEUNHECQi4q2GTt3SzIWNY+/2ck5DmffLHG6tEX4CqkylAWnxI033lg1eJj+bN++vew1Bw8exK9+9StcddVVdd//Yx/7GDZt2oTTTjsNH/zgB/H9738fd955J3bt2lX1NZs3b8bk5KT5c+DAAd/fUwhmTRc2i/UqJ3E4Pl1Uo9MZzGTyiEa0YE6+rUSkwPHh1nOK1U3FjIo2G5vJYiqdh6aVzt5hzvw4eQyrwPFxn3kOUnURt3R0NovJ+Rw0DWaJCOGIOFGcU6xXqQ/5xeGMz2YxkiEWnGYEcLgnJcQWHOYxODfccAOuvPLKms9ZtWpV2b9vu+02dHZ24g//8A9df9769esBADt37sTq1attn5NMJpFMBpyezANrVd5ikZzn4oPV3c34zWtjtQelTwsO3fkvX9KIZEzAQW0iBA4VhQEs1qu7m/HIjiNsMzgqdtb0vQc7GvkdlDpHBc4SPu/PG48uKoD04cM7jrg/V4y2WWP9NqPjcFlHQ7CH3dZCZBYVY2vE6u5mPLBtlH1NKgu7j8xgGmSTGM0KSK0PoQWHucDp7u5Gd3e34+fruo7bbrsNV1xxBeJx9+f2bN26FQDQ39/v+rWhw7QI6KQip88FtFSgyoEFx+NnCT/cjwqcfBrIpZmcIFyXgFxUQAAWHF0335trH4beReX9SBBzHLoVqfPORaF07ilA0FlUNAaHvcABGI/DCnaOzmBCN/qPitsgCHGGo/AYnIceegh79uzBRz/60QX/d+jQIaxduxbPPPMMAGDXrl34yle+gi1btmDv3r245557cMUVV+Ctb30rTj/99KAvPXhiCSBuuHkYBBqfaEysO4ZrmIh9ulu2G+99fI+gwZFsBWBkNQQ1kQYocE7oJX34+xGGZn4qcPQikJ0x748Tezn24bxza4SUWN0tRXdnEp1I+7DWOKxE111ZcHYMk3v/BFkCjAGmSROOKGuzTqZvfbzRhztYjsMKtg9P4xiMMRiUwCnkgJzhDgthmrhwgfOd73wHGzduxNq1axf8Xy6Xw44dO8wsqUQigQceeAAXXXQR1q5dixtuuAGXXXYZ/ud//ifoyxYHQ5fL2j4yKR+amMfkfJW0Q58uqm1DZGI9qV+QwIlESotPEBNpsRiowFnTR9p1aDKNiTlGmVTxBiBiGHfTU5Y+5GSizmdLtYNCa8GhbaOXjupwyBpjHA5PpXHMaTZcdhYoGIGmDiw424bINXHrQy9QkZGfB7IBxJSkJwG9YHw2WyG9prcFmgYcmc5gbIZPAPC2oSmM68Y8mp0m44Y3VvehclG550c/+lHV/1u5ciV0vXTa9eDgIB599NEgLkteUu3A9BCTTKq2xjiWtjfg0MQ8tg9NYf2qil1NPgvkjLgADwtPsaibu/+TRU6sqTYyuQURh5OdJpYPwFdxRKe0puJY1tGAg8fmsW1oGhtWM9iZahpps7mj0NMTphVuLS+RSgUhNGaHIAZOPAXEGshiPTfu6ns0J2NYvqQR+8fnsG1oChuP76r/ImrxiiaARG3Xoa7r2DbMWaR6IdlCrr+QBeaOAgnOSQhzR8ljohmIsY3JbErGsGJJI/YencP2oWm8+QS276/rOrYPT2MKjdC1CDS9SO6BFs714ObGyGOqDYi6DyERjXALjsIljM261LJCd+llmCJK82SePHBsDrPZAhKxiNjMjSADjeliHWsglpAAoIuWbR96xWiz0dERzGTySEQj/OI3TDdoGxCRJADWC02GMKELqQvoOPyd0z60ulrqFJY7NDGP6XQe8agmVwyOppWsOB7azDUuXHpe4DIODYYm05iczyEaiZY2m0G4qWYNgdPoQHRLiBI4YYPhgZtAyU1FTdhlUBGVavWUsUUH+om9zYhFBd5qQRb7ExAsSyfW7cMMJ1Zj4Tk8dAgAqWEU59WHYY+/odDFmi4KLqDjcLvTOBwXAcZ0bK/ubkYiJtmUH6jAOVr+mYwxBQ7LcWhA59LV3c3QaJ8H2WZNSuAogoDxYl1zcfRZA8f0+/cJNoub9YOO1XwaEwKMv6Gc1EetcAwDHJtIJuT46GEAHN1TgJA244JpwXEvcFzv/l1YI7Yb7ynUTVwNev1BWCM4C5y1PMahAb0v1va3lK5/Pog2oxYcPm3GGyVwwgYnF9WOkWkUinr5f/q0RpQGpeCJ1VisMXuE/2cxOJzULXRx3DEyjXzBXQZPVYzFemacHIjLdXEMew0cCjXje7Dg0PZ9bWQGOSd9aLZZ/bFJLQpcRapXTAuO+zZzTUAWnJ2j08jmGY1Dg23DliDxxgAtOLN824w3SuCEDR+7RDtWdDYhFY8gnStiz1hFoTGfi3UpsFHwxCpE4ARnjVi+pBGNiSiy+SL2HmVUSdVos/zUKICSC4ULyoKDZR0NaEpEkS3YjEM7XLj1pMygojR6j1tyDWeBs6yjAS3JGHIFHbvH2NbDKctkFGH1Ui4qRSA095DHmVEmbxeNaGaa6gI3lY+FZzqdw4HxeQASuKiowGHUZjURYMGJRDQzXfx3rMzjxsKTyJAJjqtIXXQxOO4X60hEMy2djtxUDuu5zGXzpuiVU+CIiMHhc59pmmZayVgGGs9nC9hriN6T+lpKls5ABI5yUSmCpIkKnBFmb3lytUE5M0wem3tdvydND+9rTaGjKeHr+nxDRWGQFpwAzqGywjyDwxCFSzCNnpYkOps5HnWiLDgAXGZSOQwy3jE8DV0HupqT6OLZh14RkkXFb7EujUN2cTi/H5lGUQc6mxLobkkGG4OjsqgUgULFxgy7xbpqJhW1eHgQOCWfsQR+/yBdVPQzqKgKCDNYnJnAIRNapzbFP4ZKxeAAqJPRWInDIOOSe0qCcWgHvX4PVi/XcHZRAXxSxa3uKU3Tgo3BUS4qRaCY1ohRUnqcAVUXx2nvFhzu1W/dYFq9AhA40yQoF82cC3BVwDyTyhCFndok/8WRs+sgMHxbcFyIVNpmdUQhdTtLmUEF+Kod5JpABQ47C46ZrGGM8ZLVK8jMs3COTSVwwga1RhSyzFLFqd/48GQaR61lxqkbrMW9wHn1sEQCp9los+w0kJvn+1nTtM2CFThr+1uhaaTcP5NS8RYX1cl9nIvDUVHYEvIDc33E4ABkAdM0YHQ6g9HpdO0nO7TgvHKI1MuSYhzaEaSLykXtIK+s6W1BRAPGZjIYmarThw5ZMJcGVQdH15WLShEw8VQpVZxR0GxrKo5VxknRLx2yFBCkAselBSeTL2CbMSjPWNbO4hL9kWwlJeEB/m4qavUKeLFuTsbMKrUvHZzw/X7ZRDsAIKrpOLOLjaXQFl0HpgyB0xpygUOtEblZT0K6KRnD8bQPD9Qo5FksluLjagjpXKFoLo6nL5P0CAyrwGFkkbalWCjFenG04DQkouahtC8emPD9frlCEa8cJvfCGYPt5I9Budyt550pF5UiMDgEGq8zhIg5KAv5knp36W7ZPjSNbKGIjsY4BpcEc1xBTTQtGDdVdg7IGAuTB6uXX6iY3FprcXTI9iPzOKaTxXYwySj13I70BDm/CQi/BSfZCkSM83o8xuHQRezFWiJ17iix4EKrOTZ3DE8jky+iNRXDyk6BR6XUgooNvcC3EOfMKDkjTotwzwii47BmHzrk9yPTSOeKaEnGsIoed0M3AtkZvsfPUFdrLAXEOZ8TxgklcMKIGWjMLu2Z7vBMgTN7BIAOaFHXEwId2KcvaydBcTLQHMCuh+6q442W06WDY91gRR/64MWDkziqk++geVysHUEtXqn2wM7u4oamlXa6Hu8zKnC21urDaVJdGs09QKx6hiIdh2cMtiMSkWQcVhJLltwfU4f4fQ5975Z+IMr3jGnahy8d9C8+XjQ2K6cPtpX6MNFUytKcOuz7M6pC15emnrrnncmKEjhhhHEtHMC6c5wkJ7ibKeI9rs+hopOzaVKVAdOsy7EWjjUoW8CEYN396z7N/S8emMBRGCKNZ5vRCbp1gN9nBAm1QnlcrK2W1Kp9SNusjsWLCl1p3VOUtqXkcfIgv8+g7926lN9nGJxh2WgUK6vDu4S6mxe4+un34CkKJ/aTx7Zl/D6DM0rghBFrJhUjTupvRTyqYXw2Swr00WBZD+nOpsCRaWJtYi8KFyAo/oaytq8ViWgEE3M57Ds65+u9th6YwIhu1KXhuUs0A4yDDcrmRvsgeZw44Onla/pakIhFMJXOV69oTBe1Oov1VlPgtHu6lsBoM9qMp8ChbdbGX+Cc2NuCVJz04W4nValrULUPTVHIUeDQ/lACRxEoHCw4qXgUpy4lguS5feOWAGN3C8/RmQx2HyGD+qzlEhVuowso18WaCpzg428AIBGL4LRltA+9xzMcm81i5+gMDuiG1Yvu5HhgCpxFYsHxuVgnYhFzY1C1Dx1YvSbncvj9CDku4OwVEo1DO1qDsOA4E4UsiEcjpiDZss97KvfkXA47Rki6+YI+pH3Pcz6j/UFFewhRAieM0MVg0tsusRrnriTph8/utQocdxYcOimf0NMsvoKxlY6V5PHYXn6fIUG6s9mHe7xPrLQPM03Gzo2nwFksGVSU9uXkcdJ7m51Trw8dCJznjIV1VVeTnBWMrVALAdcYnGCtEeeuJILk2b3eNxrP7z8GXQeO62oiFYytBOGiouuLsuAoAoUu1uN7mb5tSeAcK93cLmMjnttLJtZzj5OsMFQQAsdjWj1LzInVx86R9mH7wGryh2P7fF9XVQS79ZjT5s9FBZT60I8Fhy6s56yU3HoDlBbQRWLBASo2ix6hrz3HzgIXpAWnTVlwFEGyZBV5nDoI5LPM3paaQXeOziB3ZKfxWatdvcczxsR6rmwTKxU4E/tJTQweUEtHQJOoHbQPdx+Z9Vzwj06sS1euJX+Y2M+vRsm0s4DZ0EDN+T6sq2cvXwJNA/aMzeLItE0fOhI4xkZjpWQbDTuCEDgBxuAAwFkrOqBpwL6jcxj1WPDvOXMutelDU+AEYcFRAkcRJM09QLyJ1HVg6D5Y0pTA8T2k9kmBCpxO5wJnJpPHq0ahQOkm1tYBUqOkmOO36zlqtFnX8Xze3wHtjQmsMQqNPePBTTWbyeNlWv32pFPIH3OzfMrC63rJohZiM3gZ9HvMHSWF0ry8RWO8eh/qukXg2C/Wc9m8mX0j3Ti0w3RRHeaz+SjkSpbC1mDus9ZUHCcZZ4s95WEczmcL2Gr0oa0VrtXSZjxIT5Vq7AQkCnmgBE4Y0TSLm2o307d+0+pONCCNVNoIYKbWIgc8teso8kUdKzobsaxDssJQkWgpPmKCg8tlfqJU+6RTnMABgA2rSd2ix3e6r1/zzJ5x5Ao6lnU0YLC7vWRZmdjL7gIpc0eN4m6a8DZjRqodSBhnBvmwSGxcTWrDPL6zop7OzAgRnFqkqgXnaaMPl7Y3YEWnZOPQjuZeIBIjxf6oEGHJ9BAAnWxwaLmIANhojMPfvuZhHO4dRzZfRH9bCsd12RRppH2fmeKz+aD3bqodSEp6UKsDlMAJK0uOI4/H9jB92zef0I2VmhFL0tDh6pA1uqC+6XhJy3p3rCCPPOJwqPWmpV/4hPCWE4zF0cPE+hvjNW85oYsUaTRFIYdA4yM7yGP7IJAIwULsBE3znSoOlPrwN6+NldfDObKdPHasrFoYkS6obz6+S55Cm7WIREvWKMYbNgDA2O/JY8dK1zW9/PBmOg53jrmuS/X4a0TYVu3DZHPJikPHEUvMGjjhdU8BSuCEFypwxtkKnDeuWoLjIkTgZFqPc/VaKnDeIq3AWUkeeQicsdfIowSWiPWrOhGLaNg/Pof9Luvh/MacWI2dLhU4XNrMmJi71rB/b5FQqyddWD2wftUSxKMaDh6bL69pNGoInO6Tqr6WjkO6wIaCXsMdOvo79u89Yrxn78ns37sG64/rRCIawaGJ+eo1japANxo1+7DHuAd4tBl9z64T2L93gCiBE1Y6qMBhu+NpScWxsYP4Xg9FnWdQHZqYx87RGUS0knldOqjAObqL/XtTC44EAqc5GTNrED36mvMjA4Ym5/Ha6Aw0rWReN8XHCIdJlIrC7kUmcPpOI4/DL3t+i8aEpQ9/b+nDI9vIY89a29eNTKWxfZjUTpHWkmoHFTgjr7B/b7pY95zC/r1r0JCImvEzj/3e+TgcddqHVOBQqx5LaD/QezmkKIETVuhCSic8hpzVTHy6L8w6d0/9+lXiOz97RQfaGuPMr4kJvaeSx6Gt7N/7qLFYS7LjuWAtqV9E+8UJv36VWO7OXt5RqmHUfwZ55NFm1LQuSZsxwxQ4L/l6m7fRPvydpQ/rWHBof5+5vB1LZKpDVQ9T4PCw4LxqfEawFhzA2ofOD0amz1032F67hpFpwWG/BmBYCRyFSAbWAdCIr5Tx8QOrc8S0/tDRTkylc45e8ytjYt10isQl9wfOJI/ju9kH5tHFulOOxXrTKaQWz5O7jmJyzl0fXnSKpY7PwDryOPYakJlmeYklF85ic1HRReHIdiDvLVUfKI2lp3aPY2IuSzKo6lhwfmWIVKnHoR108zH6O6BYZPe+xUJpbPYEL3AuOpn0w9N7xnFs1llJD8dzKS+Bk5svbdhov4QUJXDCSqoN6DYmuYPPsXvf+Qkkj5Jd4tP5E/Hw9vriaXw2a6azSj2xNi4pxUccfoHd+84eLZmJl57F7n19sKq7GSf0NCNf1PHQjvq7x4m5LJ6268PmHqNytu7L5bKAmSOlOhuLzUXVNkiyT4p5X+6DlV1NWNPbgkJRx4PbRkk2UHqSZFDZCOnJuRye2n0UgOTj0I4lq4BYCsjNsU2cGN8NFDJAvLHk1g+Q5Z2NWNtH+vCBbfXH4eR8Dk/uIn1YttGwo2sNAA2YG2O7yR39HSlB0tgZ+jPilMAJM8vOIY8Hn2H3ngefBaDjWGoQY2jD3Vvr11m496XDKOrAyf2tGFwieTbMgCFADj3P7j33P0Eeu9cCTfLEPbzzVDI53fWCkz4cQqGoY21fC1Z0VqSlUivO0IvsLm7vY+Sx9zRXmXqhQNNKVpwhf26qTUYf3v3iYWDPb8gfe08F4qkFz7335cPIG31om1osM5FoacPGcvNx8Fny2HNyoBlUVt55Kim1cM+L9cfhL18eQr6o44SeZqzubq795ERjaXOw7wm/l1mC3rN9p5F7OcQogRNmBt9AHllacPY/BQCIrXwjAOCRHaMYqVOJ8yfPkZ34/zo7BMXalp5NHg9tYfeedHJZ8SZ278mAPz6L9Mdjrx3B4Yn5ms+t2Yf968ijcW8wYY8hcI57K7v3lAm6+dj9sK+3uewskj79m9eOYG77r8kfj3+77XN/8hypXRKKcWjHcW8hj6/dz+496XutvoDde7rkj40+fHznGA4eq53V6HouXW3cCzsf8Hx9C6DvNbie3XsKQgmcMLOMCpxnS1Un/bL3cQBAywlvwbkrO1DUgZ9tqV6w7NXDk3jl0BTiUQ2XnhmCipcrNpLH3Y+wiykx2gwr5RI4K7ua8IbjlkDXgf+u0Yfbhqbw0sFJxKMa/siuD0+4kDy+9msg6y7tvCq7HyWPq85j836yseZd5PH3v/YVh7OiswlvXLUEuq5D32mIpdVvW/C8HcPTePHABGKRkIxDO068mDy+9ms2FY0LeWDXg+T3Ey7y/34eGVzSiI2rO6HrwE+fqz4OXxuZxgv7JxCNaPijsxz2IRW7Ox9kc5xKLg3seoj8vuad/t9PMErghJnuNcQPm08Dr97p//2O7gIOPAVAA1a/De8/l9RAuf2JvUjn7Cecbz9G0tQvOqUvHFkb/WeQ87Xy88D2X/p/vyO/J9kyWgRY8Wb/78eY959LCnV978l9dfvwHSf3otMua2PgLFIPJzcH7GSwux7dRuIstCiwfIP/95ORpeeQCr3ZaWDvb3y91QfesBynanvQlDsKPd5ou7O+9TFS+uDCk3rlPz28GoNvJLGF8+NsrNIHnyEbv4aOkuVWEO8zxuF/PbUPc9m87XNuNcbh29f2oKdloQvSlhUbSezS9GE2KfZ7HiXjvHVpyXIbYrgJnL/927/Fxo0b0djYiPb2dtvn7N+/H5dccgkaGxvR09ODz3zmM8jn7TufMj4+jg9+8INobW1Fe3s7rrrqKszMzHD4BiFA04AzP0h+f+GH/t/v+e+RxxPeAbQP4t1nDGBpewOOTGdwxzMLK9nuPjKD/zH8yp84z92hnMLQNOD095LfX7rD//s9+x/k8cR3Ai3iThGvBu3DsZkMfvT0wj7cMzaLu7eSA/s+cV6VGj6aBpz8HvL7iz/2f1FPfoM8rn0XkGr1/34yEomUrDg+x+a7TuvHXzYS99SejjcDsXIBs+/orBkr9xcXhGQc2hGNlSwtz33H//s9823yeMImEuMjkEtO68fyJY0Yn83ih08tHIf7j87hzhfIOPyLC1zU0oo3AMcbFtanvuX/Qp//Pnlc887Qx98AHAVONpvF5Zdfjk984hO2/18oFHDJJZcgm83iiSeewPe+9z3cfvvt+PznP1/zfT/4wQ/i1Vdfxf333497770Xjz32GD72sY/x+Arh4PT3kZ3wwWf8WSQmDwJbbie/n30lACARi+Dj55MJ818efK3sVFxd1/GFe15FUSc7jlOXtnn/7KA57XIAGjHFvubDdz2xH9j6I/L7G65mcmmsiUcj5qL3bw+9VhZPZe3DC9Z047RlNfrwjD8BoAE7flEKdvXC+B7gpZ+Q3zf+pff3CQPnfBiABrz6c18Wifj4TlxYIG7QzaMXYnhyYR8WijrOO7Ebpy9r93nRgtlwDXl86Sel+jVeGHrJsGprwJvE32exaATXGOPw6w+9hqHJUkwc6cNXUCjqeMsJXVg32O7uzd90HXl88f/6K2K6/2lg+73EGn3uR72/j0RwEzhf+tKX8OlPfxqnnWZfKOjXv/41fve73+EHP/gB1q1bh3e+8534yle+gltuuQXZrH29gG3btuG+++7Df/7nf2L9+vV485vfjK9//eu44447cPgwp1NVZaelrzQp3PNJbxPp1BDwkyuIOXfgTLLjMXjfOYM4ZaAVE3M5fPonWzGfJW6Of39kF37z2hiSsQj++pLqZeOlpHM18EZDeN9zLXB4q/v3mDwI3PEnQHaGuCNWnc/yCpny3nMGcepSow9/XOrDbz66C4/9/giSsQj+v0vq1AjpPRk45yPk9zs/XioE5oZj+4AfvQ8oZIk7jwbJL1b6zwDW/Qn5/Wcf9nZm0Pge4P++DxEU8Wz8HDydXobrfvyC6ea49bHdeGTHESRiEXwubOPQjoEzDWuhDtzxQW8L9thO4MeGZfuUPyoVERTMZWctwxmD7ZhK53HdHVsxmyF9+O3HduNhow//5g881OoZPJcEG+sF4Efv9Xasyug24GfG+D7zT0s1dkKOprs9Bcwlt99+O6677jpMTEyU/f3zn/887rnnHmzdutX82549e7Bq1So8//zzOPPMMxe813e/+13ccMMNOHbsmPm3fD6PVCqFn/70p/ijP/oj22vIZDLIZEqBflNTUxgcHMTk5CRaWxeBiTyXBv7zQmDEqFMycCaJmWjoME7p1QHoCx+LBbJQH3iaxPEkW4E/f3TBCeI7hqfxh994HJl8Eau6mtDXlsITRq2GL/3hKfjQxpVBfls2ZGaA/7jAKDankTZrW0bSvDVD95e1F8jvhTw5jfzAM6S+RmMn8LFHSwcsSsprI9N49zceRzpH+rC/PYXf7iR9+Pk/OBkfebODGiHzx4D/eDswvguARgRKx0ogmgCicXJaMwDSZkXSbnqRCJqJ/eQ+K2RJXZ2rH6x6GvaiYmYU+O4mUo9Fi5DEgPblQCwBRJOlU7SLefJTyJd+nz1C2qyYB9qXY897fo53fncn0rkijutqwtL2BvPcqc9dchI++pZVdS4mJEweAm5/F1motSiw/I2ktlA8Re61YsFoswK5v6z/nh4mcYR6kcTaffiXUtVy2XVkBn/wb49jPldY0If/37tOwtVv9diHkweB715MaktF4iROq20pqf8TjZe3k14kxRT1Ivn3xAFyn0EHuk4Ervwl0BzcqetumZqaQltbm6P1OxbQNS1geHgYvb3lMQv038PD9uXlh4eH0dPTU/a3WCyGJUuWVH0NANx000340pe+5POKJSaeAq68F/jlXwEv/5TUkXBbS2Lp2cB7blkgbgBgTV8LfvDR9bj6+89h99gsdhsHx21+51pcsWEFi28QPMlm4KpfA//zKeB3dwOHnyc/bli+AXj3v0ovbgDghN4W/OCqhX144zvX4sNvWunsTRo6gI8+ANx9DbDjl2RSPPC0uws57q3AJTe/PsQNQAolfuRXwF1/QQK0DzxlBPK7YNUFwLv/Bcd1rMQPP9qJj37vOewZmzUPcPzsxWtwlROBGhbalpJF9p5riRt532/dv8fx7wD+8N+kEjcAsLq72ZxLrX34mU1r8NG3+OjDtmXAh+4B/uc6Eii873H373HCJuDSf5eqlpdfXAmcG2+8EX//939f8znbtm3D2rX2ZcRFsXnzZlx//fXmv6kFZ1HR0A5c9p/AO75CCs/NHiXZCMWCESymkUctYvwO8ntTN3Gx9JxUM6js3JVL8PAN5+PB7aOYTudw3ondWFWvEJXsNHQA7/0+2cEcfBaYHQPmjgLQQRoI5W0HkGDFph5S56R7bagC8c5ZuQQP/9X5eHDbKCbnczhvTXf9YmKVNC4BPvB/ye76wLMke6OQM6wPxpEQWqT8XovGyUK/7FyyQwxRmzGhuQf4058Rd8vB54CZEaCYI+1VyBErTiRG7i3z9xiQbCEbj+4Tzbc6e0WpDyfmyTg8vifk49COtqXAn91Jjgg5+ByxZuXTxAKoRUlbaZHSI/1bQweZz7rEH3pbjbNXdBhz6QiOzTHswyWriMg5soPU+Zo7Sso6FHOkfbQICX7XKtqusYu4uWw2t2HHlcC54YYbcOWVV9Z8zqpVzhqpr68PzzxTXoF3ZGTE/L9qrxkdLS9Jnc/nMT4+XvU1AJBMJpFMhjR10i2t/cCpl3F5646mRHiLiNWifTAUVhgWtDcmcBmLPuxYWTqdXeGMztXkxyfM+jAMdJ2w+A5jBdDWGDcLcTKne83iO/7EI64ETnd3N7q72fjmNmzYgL/927/F6Oio6Xa6//770draipNPtg+02rBhAyYmJrBlyxacfTapa/DQQw+hWCxi/frwV11UKBQKhULBBm5ZVPv378fWrVuxf/9+FAoFbN26FVu3bjVr1lx00UU4+eST8Wd/9md48cUX8atf/Qqf+9zncM0115jWlmeeeQZr167FoUOkPsBJJ52Eiy++GFdffTWeeeYZ/Pa3v8W1116L97///RgYeJ349BUKhUKhUNSFW5Dx5z//eXzve98z/02zoh5++GGcf/75iEajuPfee/GJT3wCGzZsQFNTEz70oQ/hy1/+svmaubk57NixA7lczvzbD3/4Q1x77bV4+9vfjkgkgssuuwz/9m//xutrKBQKhUKhCCHc08RlxE2amUKhUCgUCjlws36rs6gUCoVCoVAsOpTAUSgUCoVCsehQAkehUCgUCsWiQwkchUKhUCgUiw4lcBQKhUKhUCw6lMBRKBQKhUKx6FACR6FQKBQKxaJDCRyFQqFQKBSLDiVwFAqFQqFQLDq4HdUgM7R489TUlOArUSgUCoVC4RS6bjs5hOF1KXCmp6cBAIODg4KvRKFQKBQKhVump6fR1tZW8zmvy7OoisUiDh8+jJaWFmiaxvS9p6amMDg4iAMHDizKc64W+/cDFv93XOzfD1j833Gxfz9g8X/Hxf79AD7fUdd1TE9PY2BgAJFI7Sib16UFJxKJYNmyZVw/o7W1ddHetMDi/37A4v+Oi/37AYv/Oy727wcs/u+42L8fwP471rPcUFSQsUKhUCgUikWHEjgKhUKhUCgWHUrgMCaZTOILX/gCksmk6EvhwmL/fsDi/46L/fsBi/87LvbvByz+77jYvx8g/ju+LoOMFQqFQqFQLG6UBUehUCgUCsWiQwkchUKhUCgUiw4lcBQKhUKhUCw6lMBRKBQKhUKx6FACxwO33HILVq5ciVQqhfXr1+OZZ56p+fyf/vSnWLt2LVKpFE477TT88pe/DOhKveHm+91+++3QNK3sJ5VKBXi17njsscfw7ne/GwMDA9A0DXfddVfd1zzyyCM466yzkEwmcfzxx+P222/nfp1+cPsdH3nkkQV9qGkahoeHg7lgl9x0000499xz0dLSgp6eHlx66aXYsWNH3deFZRx6+X5hG4ff/OY3cfrpp5sF4DZs2ID/9//+X83XhKX/APffL2z9V8lXv/pVaJqG6667rubzgu5DJXBc8uMf/xjXX389vvCFL+D555/HGWecgU2bNmF0dNT2+U888QQ+8IEP4KqrrsILL7yASy+9FJdeeileeeWVgK/cGW6/H0CqVA4NDZk/+/btC/CK3TE7O4szzjgDt9xyi6Pn79mzB5dccgkuuOACbN26Fddddx0++tGP4le/+hXnK/WO2+9I2bFjR1k/9vT0cLpCfzz66KO45ppr8NRTT+H+++9HLpfDRRddhNnZ2aqvCdM49PL9gHCNw2XLluGrX/0qtmzZgueeew5ve9vb8J73vAevvvqq7fPD1H+A++8HhKv/rDz77LO49dZbcfrpp9d8npA+1BWueMMb3qBfc8015r8LhYI+MDCg33TTTbbPf+9736tfcsklZX9bv369/ud//udcr9Mrbr/fbbfdpre1tQV0dWwBoN955501n/PZz35WP+WUU8r+9r73vU/ftGkTxytjh5Pv+PDDD+sA9GPHjgVyTawZHR3VAeiPPvpo1eeEbRxacfL9wjwOKR0dHfp//ud/2v5fmPuPUuv7hbX/pqen9RNOOEG///779fPOO0//1Kc+VfW5IvpQWXBckM1msWXLFlx44YXm3yKRCC688EI8+eSTtq958skny54PAJs2bar6fJF4+X4AMDMzgxUrVmBwcLDuLiVshKn//LJu3Tr09/fjHe94B37729+KvhzHTE5OAgCWLFlS9Tlh7kcn3w8I7zgsFAq44447MDs7iw0bNtg+J8z95+T7AeHsv2uuuQaXXHLJgr6xQ0QfKoHjgrGxMRQKBfT29pb9vbe3t2q8wvDwsKvni8TL91uzZg2++93v4u6778YPfvADFItFbNy4EQcPHgzikrlTrf+mpqYwPz8v6KrY0t/fj29961v47//+b/z3f/83BgcHcf755+P5558XfWl1KRaLuO666/CmN70Jp556atXnhWkcWnH6/cI4Dl9++WU0NzcjmUzi4x//OO68806cfPLJts8NY/+5+X5h7L877rgDzz//PG666SZHzxfRh6/L08QV7NiwYUPZrmTjxo046aSTcOutt+IrX/mKwCtTOGXNmjVYs2aN+e+NGzdi165duPnmm/Ff//VfAq+sPtdccw1eeeUVPP7446IvhQtOv18Yx+GaNWuwdetWTE5O4mc/+xk+9KEP4dFHH60qAsKGm+8Xtv47cOAAPvWpT+H++++XOhhaCRwXdHV1IRqNYmRkpOzvIyMj6Ovrs31NX1+fq+eLxMv3qyQej+PMM8/Ezp07eVxi4FTrv9bWVjQ0NAi6Kv684Q1vkF40XHvttbj33nvx2GOPYdmyZTWfG6ZxSHHz/SoJwzhMJBI4/vjjAQBnn302nn32Wfzrv/4rbr311gXPDWP/ufl+lcjef1u2bMHo6CjOOuss82+FQgGPPfYYvvGNbyCTySAajZa9RkQfKheVCxKJBM4++2w8+OCD5t+KxSIefPDBqr7VDRs2lD0fAO6///6avlhRePl+lRQKBbz88svo7+/ndZmBEqb+Y8nWrVul7UNd13HttdfizjvvxEMPPYTjjjuu7mvC1I9evl8lYRyHxWIRmUzG9v/C1H/VqPX9KpG9/97+9rfj5ZdfxtatW82fc845Bx/84AexdevWBeIGENSH3MKXFyl33HGHnkwm9dtvv13/3e9+p3/sYx/T29vb9eHhYV3Xdf3P/uzP9BtvvNF8/m9/+1s9FovpX/va1/Rt27bpX/jCF/R4PK6//PLLor5CTdx+vy996Uv6r371K33Xrl36li1b9Pe///16KpXSX331VVFfoSbT09P6Cy+8oL/wwgs6AP2f//mf9RdeeEHft2+fruu6fuONN+p/9md/Zj5/9+7demNjo/6Zz3xG37Ztm37LLbfo0WhUv++++0R9hbq4/Y4333yzftddd+mvvfaa/vLLL+uf+tSn9Egkoj/wwAOivkJNPvGJT+htbW36I488og8NDZk/c3Nz5nPCPA69fL+wjcMbb7xRf/TRR/U9e/boL730kn7jjTfqmqbpv/71r3VdD3f/6br77xe2/rOjMotKhj5UAscDX//61/Xly5friURCf8Mb3qA/9dRT5v+dd955+oc+9KGy5//kJz/RTzzxRD2RSOinnHKK/otf/CLgK3aHm+933XXXmc/t7e3V3/Wud+nPP/+8gKt2Bk2Jrvyh3+lDH/qQft555y14zbp16/REIqGvWrVKv+222wK/bje4/Y5///d/r69evVpPpVL6kiVL9PPPP19/6KGHxFy8A+y+G4CyfgnzOPTy/cI2Dj/ykY/oK1as0BOJhN7d3a2//e1vNxd/XQ93/+m6++8Xtv6zo1LgyNCHmq7rOj/7kEKhUCgUCkXwqBgchUKhUCgUiw4lcBQKhUKhUCw6lMBRKBQKhUKx6FACR6FQKBQKxaJDCRyFQqFQKBSLDiVwFAqFQqFQLDqUwFEoFAqFQrHoUAJHoVAoFArFokMJHIVCoVAoFIsOJXAUCoVCoVAsOpTAUSgUCoVCsehQAkehUCgUCsWi4/8HcRO3WHIbdVgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(times,harmonic[:,0])\n",
    "plt.plot(times,nonlin[:,0])\n",
    "plt.show()\n",
    "\n",
    "plt.plot(times,harmonic[:,1])\n",
    "plt.plot(times,nonlin[:,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def kinetic(v):\n",
    "    K = 0.5*v**2\n",
    "    return K\n",
    "\n",
    "def potential(x,k,p):\n",
    "    V = (1./(1.0*p))*k*x**p\n",
    "    return V\n",
    "    \n",
    "EK = kinetic(nonlin[:,1])\n",
    "EP = potential(nonlin[:,0],k=kin,p=6)\n",
    "Etot = EK + EP\n",
    "\n",
    "plt.plot(times,EK)\n",
    "plt.plot(times,EP)\n",
    "plt.show()\n",
    "\n",
    "plt.plot( times, np.abs((Etot - Etot[0])/Etot[0]))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Checking virial theorem, r = 1.0018066515592094\n"
     ]
    }
   ],
   "source": [
    "tmax = 40\n",
    "times = np.arange(tmin,tmax,dt)\n",
    "pin = 6\n",
    "nonlin = integrate.odeint(osc,y0,times,rtol=0.5e-13,atol=0.5e-13,args=(kin,pin, lambda t: Fext_const(t,c)))\n",
    "EK = kinetic(nonlin[:,1])\n",
    "EP = potential(nonlin[:,0],k=kin,p=6)\n",
    "print( \"Checking virial theorem, r =\", np.mean(EK)/(np.mean(3.*EP)) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Fext_sin(t,F0,omegaext):\n",
    "    F = F0*np.sin(omegaext*t)\n",
    "    return F\n",
    "\n",
    "kin = 39.48\n",
    "y0 = [0,10]\n",
    "\n",
    "dt = 0.005\n",
    "tmin = 0.\n",
    "tmax = 32\n",
    "times = np.arange(tmin,tmax,dt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F0 = 5\n",
    "omega0 = 2*np.pi\n",
    "omega0 = 7\n",
    "\n",
    "pin = 2\n",
    "harmonic = integrate.odeint(osc,y0,times,args=(kin,pin, lambda t: Fext_sin(t,F0,omega0)) )\n",
    "\n",
    "pin = 4\n",
    "nonlin = integrate.odeint(osc,y0,times,args=(kin,pin,lambda t: Fext_sin(t,F0,omega0)))\n",
    "\n",
    "plt.plot(times,harmonic[:,0])\n",
    "plt.plot(times,nonlin[:,0])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "F0 = 5\n",
    "omega0 = 2*np.pi\n",
    "\n",
    "pin = 2\n",
    "harmonic = integrate.odeint(osc,y0,times,args=(kin,pin, lambda t: Fext_sin(t,F0,omega0)) )\n",
    "\n",
    "pin = 4\n",
    "nonlin = integrate.odeint(osc,y0,times,args=(kin,pin,lambda t: Fext_sin(t,F0,omega0)))\n",
    "\n",
    "plt.plot(times,harmonic[:,0])\n",
    "plt.plot(times,nonlin[:,0])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 2\n",
    "\n",
    "A signal $s(t) = \\frac{1}{1-0.9 \\sin(t)}$ is sampled in $N=24000$ evenly spaced points, in the interval $t = [0,12]$ s.\n",
    "\n",
    "\\begin{enumerate}\n",
    "\n",
    "\\item The function $s(t)$ can be expanded as $s(t) \\simeq 1 + 0.9 \\sin(t) + (0.9 \\sin(t))^2 + \\ldots (0.9 \\sin(t))^n + \\ldots$. Write a function that computes this expansion for arbitrary values of t and n in input. Using this function, make a plot showing $s(t)$ and its power series approximation for $n = 10, 20, 30$, in the sampled points. \n",
    "\n",
    "\\item Get the Fourier transform coefficients, $c(k)$, of the sample. Plot the power spectrum $S(k) = |c(k)|^2$, displaying frequency (in Hz) on the x-axis. Calculate the frequency of the largest Fourier component.\n",
    "\n",
    "\\end{enumerate}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fft import fft, rfft, irfft, rfftfreq, fftfreq\n",
    "from scipy import integrate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max (Hz) = 0.16666666666666666\n"
     ]
    },
    {
     "data": {
      "image/png": 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qpDBSVFSknj17Kj4+XpmZmdq5c+dV+585c0bTpk1TSkqK3G63+vTpo23btoVUMAAAiC4d7O6wbt065eXladmyZcrMzNTixYuVk5OjAwcOKDEx8Yr+jY2NGj58uBITE7Vx40alpqbqyy+/1K233toW9QMAAIdzWZZl2dkhMzNT999/v5YsWSJJCgQC8nq9eu655zR9+vQr+i9btkxvvPGG9u/fr5tuuimkImtra+XxeFRTU6OEhISQjgEAACKrte/ftk7TNDY2qqysTNnZ2d8eICZG2dnZKi0tbXafDz74QFlZWZo2bZqSkpKUlpamuXPnyu/3t/g4DQ0Nqq2tbbIBAIDoZCuMVFdXy+/3KykpqUl7UlKSfD5fs/scPnxYGzdulN/v17Zt2zRr1iwtXLhQr776aouPU1hYKI/HE9y8Xq+dMgEAgIOE/W6aQCCgxMREvfPOOxo0aJDGjBmjmTNnatmyZS3uM2PGDNXU1AS348ePh7tMAABgiK0LWLt27arY2FhVVVU1aa+qqlJycnKz+6SkpOimm25SbGxssK1v377y+XxqbGxUXFzcFfu43W653W47pQEAAIeyNTMSFxenQYMGqaSkJNgWCARUUlKirKysZvcZMmSIDh06pEAgEGw7ePCgUlJSmg0iAADgxmL7NE1eXp6WL1+u9957T/v27dPUqVNVX1+vSZMmSZImTJigGTNmBPtPnTpVp0+f1vPPP6+DBw9q69atmjt3rqZNm9Z2owAAAI5le52RMWPG6NSpU5o9e7Z8Pp/69++v4uLi4EWtx44dU0zMtxnH6/Xqo48+0gsvvKD77rtPqampev755/XSSy+13SgAAIBj2V5nxATWGQEAwHnCss4IAABAWyOMAAAAowgjAADAKMIIAAAwijACAACMIowAAACjCCMAAMAowggAADCKMAIAAIwijAAAAKMIIwAAwCjCCAAAMIowAgAAjCKMAAAAowgjAADAKMIIAAAwijACAACMIowAAACjCCMAAMAowggAADCKMAIAAIwijAAAAKMIIwAAwCjCCAAAMIowAgAAjCKMAAAAowgjAADAKMIIAAAwijACAACMIowAAACjCCMAAMAowggAADCKMAIAAIwijAAAAKM6mC4ANx5/wNLOI6d1su68EjvFK6NXF8XGuEyXBQAwhDCCiCreU6mCD/eqsuZ8sC3FE6/83H4akZZisDIAgCmcpkHEFO+p1NT3y5sEEUny1ZzX1PfLVbyn0lBlAACTCCOICH/AUsGHe2U187vLbQUf7pU/0FwPAEA0I4wgInYeOX3FjMh3WZIqa85r55HTkSsKANAuEEYQESfrWg4iofQDAEQPwggiIrFTfJv2AwBED8IIIiKjVxeleOLV0g28Ll26qyajV5dIlgUAaAcII4iI2BiX8nP7SdIVgeTyz/m5/VhvBABuQCGFkaKiIvXs2VPx8fHKzMzUzp07W7Xf2rVr5XK5NGrUqFAeFg43Ii1FS58YqGRP01MxyZ54LX1iIOuMAMANyvaiZ+vWrVNeXp6WLVumzMxMLV68WDk5OTpw4IASExNb3O/o0aN68cUXNXTo0OsqGM42Ii1Fw/slswIrACDIZVmWrYUdMjMzdf/992vJkiWSpEAgIK/Xq+eee07Tp09vdh+/369/+Id/0L/8y7/oL3/5i86cOaMtW7a0+jFra2vl8XhUU1OjhIQEO+UCAABDWvv+bes0TWNjo8rKypSdnf3tAWJilJ2drdLS0hb3+/Wvf63ExEQ9+eSTrXqchoYG1dbWNtkAAEB0shVGqqur5ff7lZSU1KQ9KSlJPp+v2X0+/fRTrVixQsuXL2/14xQWFsrj8QQ3r9drp0wAAOAgYb2bpq6uTuPHj9fy5cvVtWvXVu83Y8YM1dTUBLfjx4+HsUoAAGCSrQtYu3btqtjYWFVVVTVpr6qqUnJy8hX9v/jiCx09elS5ubnBtkAgcOmBO3TQgQMH1Lt37yv2c7vdcrvddkoDAAAOZWtmJC4uToMGDVJJSUmwLRAIqKSkRFlZWVf0v/vuu7V7925VVFQEt5/85CcaNmyYKioqOP0CAADs39qbl5eniRMnavDgwcrIyNDixYtVX1+vSZMmSZImTJig1NRUFRYWKj4+XmlpaU32v/XWWyXpinYAAHBjsh1GxowZo1OnTmn27Nny+Xzq37+/iouLgxe1Hjt2TDExLOwKAABax/Y6IyawzggAAM4TlnVGAAAA2hphBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGhRRGioqK1LNnT8XHxyszM1M7d+5sse/y5cs1dOhQde7cWZ07d1Z2dvZV+wMAgBuL7TCybt065eXlKT8/X+Xl5UpPT1dOTo5OnjzZbP/t27dr7Nix+uSTT1RaWiqv16tHH31UJ06cuO7iAQCA87ksy7Ls7JCZman7779fS5YskSQFAgF5vV4999xzmj59+jX39/v96ty5s5YsWaIJEya06jFra2vl8XhUU1OjhIQEO+UCAABDWvv+bWtmpLGxUWVlZcrOzv72ADExys7OVmlpaauOce7cOV24cEFdunRpsU9DQ4Nqa2ubbAAAIDrZCiPV1dXy+/1KSkpq0p6UlCSfz9eqY7z00kvq3r17k0DzfYWFhfJ4PMHN6/XaKRMAADhIRO+mmTdvntauXavNmzcrPj6+xX4zZsxQTU1NcDt+/HgEqwQAAJHUwU7nrl27KjY2VlVVVU3aq6qqlJycfNV9FyxYoHnz5ulPf/qT7rvvvqv2dbvdcrvddkoDAAAOZWtmJC4uToMGDVJJSUmwLRAIqKSkRFlZWS3uN3/+fM2ZM0fFxcUaPHhw6NUCAICoY2tmRJLy8vI0ceJEDR48WBkZGVq8eLHq6+s1adIkSdKECROUmpqqwsJCSdLrr7+u2bNna/Xq1erZs2fw2pJbbrlFt9xySxsOBQAAOJHtMDJmzBidOnVKs2fPls/nU//+/VVcXBy8qPXYsWOKifl2wmXp0qVqbGzUz372sybHyc/P1yuvvHJ91QMAAMezvc6ICawzAgCA84RlnREAAIC2RhgBAABGEUYAAIBRhBEAAGAUYQQAABhl+9Ze4EbnD1jaeeS0TtadV2KneGX06qLYGJfpsgDAsQgjgA3FeypV8OFeVdacD7aleOKVn9tPI9JSDFYGAM7FaRqglYr3VGrq++VNgogk+WrOa+r75SreU2moMgBwNsII0Ar+gKWCD/equRUCL7cVfLhX/kC7X0MQANodwgjQCjuPnL5iRuS7LEmVNee188jpyBUFAFGCMAK0wsm6loNIKP0AAN8ijACtkNgpvk37AQC+RRgBWiGjVxeleOLV0g28Ll26qyajV5dIlgUAUYEwArRCbIxL+bn9JOmKQHL55/zcfqw3AgAhIIwArTQiLUVLnxioZE/TUzHJnngtfWIg64wAQIhY9AywYURaiob3S2YFVgBoQ4QRwKbYGJeyet9mugwAiBqcpgEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGAUYQQAABhFGAEAAEbxrb3ADcQfsLTzyGmdrDuvxE7xyujVRbExLtNlAbjBEUaAG0TxnkoVfLhXlTXng20pnnjl5/bTiLQUg5UBuNFxmgZX8AcslX7xtf6j4oRKv/ha/oBluiRbnF5/OBTvqdTU98ubBBFJ8tWc19T3y1W8p9JQZQDAzAi+x+mfnp1efzj4A5YKPtyr5iKZJcklqeDDvRreL5lTNgCMYGYEQU7/9Oz0+sNl55HTV/xNvsuSVFlzXjuPnI5cUQDwHYQRSLr2p2fp0qfn9nrKw+n1h9PJupaDSCj9AKCtEUYgyfmfnp1e/2XhuN4lsVN8m/YDgLbGNSOQ5PxPz06vXwrf9S4ZvbooxRMvX835ZmeOXJKSPZdu8wUAE5gZgSTnf3p2ev3hvN4lNsal/Nx+ki4Fj++6/HN+br82uXiVO5kAhIKZEUhy/qdnJ9cfibtdRqSlaOkTA6+YeUluwzuNInEnE4u2AdGJMBImTnvRvPzpeer75XJJTd4Y2/rTczg4uX4717tk9b4t5McZkZai4f2Sw/L/8vLMzvcD1eWZnaVPDLzuQBLusOO05ywQTQgjYeDUtS4i8ek5nJxafySvd4mNcV1XoGlOJGZ2wh12nPqc/S7CFJzshg0j4XriRuITYjiF89NzJDixfqdf7xLumZ1wh51IPWfDGRacfoos3EHKycd3cu12hBRGioqK9MYbb8jn8yk9PV1vvfWWMjIyWuy/YcMGzZo1S0ePHtWdd96p119/XY899ljIRV+vcD1xo2Wly3B8eo4kp9Xv5OtdpPDP7IQz7ETqORvOsOD0U2ThDlJOPr6Ta7fL9t0069atU15envLz81VeXq709HTl5OTo5MmTzfb/7LPPNHbsWD355JPatWuXRo0apVGjRmnPnj3XXXwownnXQrSsdYHIiuTdLuEQ7pmdcIadSDxnw/maE4nF/sJZf7hXTXby8Z1ceyhsh5FFixbpqaee0qRJk9SvXz8tW7ZMN998s959991m+7/55psaMWKEfvGLX6hv376aM2eOBg4cqCVLllx38XaF+4kbDWtdwIzL17ske5q+YSd74tv9qb3LMzstRSWXLn3aCnVmJ5xhJ9zP2XC/5oQ7TIWz/nD/bZx8fCfXHipbYaSxsVFlZWXKzs7+9gAxMcrOzlZpaWmz+5SWljbpL0k5OTkt9pekhoYG1dbWNtnaQrifuE4/9w+zRqSl6NOXHtGap36kN/9ff6156kf69KVH2nUQkcI/sxPOsBPu52y4X3Pa0ymy9nRspx/fybWHylYYqa6ult/vV1JSUpP2pKQk+Xy+Zvfx+Xy2+ktSYWGhPB5PcPN6vXbKbFG4n7jh/oSI6Hf5epef9k9VVu/b2u2pme8L58xOOMNOuJ+z4X7NcfIpsnD/bZx8fCfXHqp2uQLrjBkzVFNTE9yOHz/eJscN9xPX6ef+gesRzpmdcIWdcD9nw/2a4+RTZOH+2zj5+E6uPVS27qbp2rWrYmNjVVVV1aS9qqpKycnJze6TnJxsq78kud1uud1uO6W1SiTuWnDqWhdAWwjnnUzhum07nM/ZcL/mhHuxv3DWH+6/jZOP7+TaQ2VrZiQuLk6DBg1SSUlJsC0QCKikpERZWVnN7pOVldWkvyR9/PHHLfYPp0jNXDj13D/Q3oXrNFa4nrOReM1x6imycP9tnHx8J9ceKpdlWbYul123bp0mTpyof//3f1dGRoYWL16s9evXa//+/UpKStKECROUmpqqwsJCSZdu7X3ooYc0b948jRw5UmvXrtXcuXNVXl6utLS0Vj1mbW2tPB6PampqlJCQYH+U39Oe7q0GEP2cvigZa2mYOb6Ta7+ste/ftsOIJC1ZsiS46Fn//v31b//2b8rMzJQkPfzww+rZs6dWrVoV7L9hwwa9/PLLwUXP5s+fb2vRs7YOI1L7WXUOwI3B6a85rDJq5vhOrl0KcxiJtHCEEQAAEF6tff9ul3fTAACAGwdhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGCUrW/tNeXyIrG1tbWGKwEAAK11+X37Wou9OyKM1NXVSZK8Xq/hSgAAgF11dXXyeDwt/t4R300TCAT01VdfqVOnTnK52vYLfLxer44fPx6133nDGKMDY4wOjDE6MMbWsyxLdXV16t69u2JiWr4yxBEzIzExMerRo0fYjp+QkBC1/6EuY4zRgTFGB8YYHRhj61xtRuQyLmAFAABGEUYAAIBRN3QYcbvdys/Pl9vtNl1K2DDG6MAYowNjjA6Mse054gJWAAAQvW7omREAAGAeYQQAABhFGAEAAEYRRgAAgFFRH0aKiorUs2dPxcfHKzMzUzt37rxq/w0bNujuu+9WfHy87r33Xm3bti1ClYbOzhiXL1+uoUOHqnPnzurcubOys7Ov+TdpD+z+O162du1auVwujRo1KrwFtgG7Yzxz5oymTZumlJQUud1u9enTp93/f7U7xsWLF+uuu+5Sx44d5fV69cILL+j8+fMRqta+HTt2KDc3V927d5fL5dKWLVuuuc/27ds1cOBAud1u/fCHP9SqVavCXuf1sDvGTZs2afjw4erWrZsSEhKUlZWljz76KDLFhiCUf8PL/vrXv6pDhw7q379/2OprC6GMsaGhQTNnztTtt98ut9utnj176t13322zmqI6jKxbt055eXnKz89XeXm50tPTlZOTo5MnTzbb/7PPPtPYsWP15JNPateuXRo1apRGjRqlPXv2RLjy1rM7xu3bt2vs2LH65JNPVFpaKq/Xq0cffVQnTpyIcOWtZ3eMlx09elQvvviihg4dGqFKQ2d3jI2NjRo+fLiOHj2qjRs36sCBA1q+fLlSU1MjXHnr2R3j6tWrNX36dOXn52vfvn1asWKF1q1bp1/96lcRrrz16uvrlZ6erqKiolb1P3LkiEaOHKlhw4apoqJCP//5zzV58uR2/WZtd4w7duzQ8OHDtW3bNpWVlWnYsGHKzc3Vrl27wlxpaOyO77IzZ85owoQJ+sd//McwVdZ2Qhnj6NGjVVJSohUrVujAgQNas2aN7rrrrrYryopiGRkZ1rRp04I/+/1+q3v37lZhYWGz/UePHm2NHDmySVtmZqb1r//6r2Gt83rYHeP3Xbx40erUqZP13nvvhavE6xbKGC9evGg98MAD1m9/+1tr4sSJ1k9/+tMIVBo6u2NcunSpdccdd1iNjY2RKvG62R3jtGnTrEceeaRJW15enjVkyJCw1tlWJFmbN2++ap9f/vKX1j333NOkbcyYMVZOTk4YK2s7rRljc/r162cVFBS0fUFtzM74xowZY7388stWfn6+lZ6eHta62lJrxviHP/zB8ng81tdffx22OqJ2ZqSxsVFlZWXKzs4OtsXExCg7O1ulpaXN7lNaWtqkvyTl5OS02N+0UMb4fefOndOFCxfUpUuXcJV5XUId469//WslJibqySefjESZ1yWUMX7wwQfKysrStGnTlJSUpLS0NM2dO1d+vz9SZdsSyhgfeOABlZWVBU/lHD58WNu2bdNjjz0WkZojwWmvOW0hEAiorq6u3b7mhGLlypU6fPiw8vPzTZcSFh988IEGDx6s+fPnKzU1VX369NGLL76ob775ps0ewxFflBeK6upq+f1+JSUlNWlPSkrS/v37m93H5/M129/n84WtzusRyhi/76WXXlL37t2veEFsL0IZ46effqoVK1aooqIiAhVev1DGePjwYf3Xf/2XHn/8cW3btk2HDh3SM888owsXLrTLF8RQxjhu3DhVV1frwQcflGVZunjxoqZMmdKuT9PY1dJrTm1trb755ht17NjRUGXhs2DBAp09e1ajR482XUqb+Nvf/qbp06frL3/5izp0iM631MOHD+vTTz9VfHy8Nm/erOrqaj3zzDP6+uuvtXLlyjZ5jKidGcG1zZs3T2vXrtXmzZsVHx9vupw2UVdXp/Hjx2v58uXq2rWr6XLCJhAIKDExUe+8844GDRqkMWPGaObMmVq2bJnp0trM9u3bNXfuXL399tsqLy/Xpk2btHXrVs2ZM8d0aQjR6tWrVVBQoPXr1ysxMdF0OdfN7/dr3LhxKigoUJ8+fUyXEzaBQEAul0u///3vlZGRoccee0yLFi3Se++912azI9EZ4yR17dpVsbGxqqqqatJeVVWl5OTkZvdJTk621d+0UMZ42YIFCzRv3jz96U9/0n333RfOMq+L3TF+8cUXOnr0qHJzc4NtgUBAktShQwcdOHBAvXv3Dm/RNoXy75iSkqKbbrpJsbGxwba+ffvK5/OpsbFRcXFxYa3ZrlDGOGvWLI0fP16TJ0+WJN17772qr6/X008/rZkzZyomxvmfpVp6zUlISIi6WZG1a9dq8uTJ2rBhQ7udibWrrq5On3/+uXbt2qVnn31W0qXXG8uy1KFDB/3xj3/UI488YrjK65eSkqLU1FR5PJ5gW9++fWVZlv7+97/rzjvvvO7HcP6zuQVxcXEaNGiQSkpKgm2BQEAlJSXKyspqdp+srKwm/SXp448/brG/aaGMUZLmz5+vOXPmqLi4WIMHD45EqSGzO8a7775bu3fvVkVFRXD7yU9+Erxbwev1RrL8Vgnl33HIkCE6dOhQMGhJ0sGDB5WSktLugogU2hjPnTt3ReC4HL6sKPlKLae95oRqzZo1mjRpktasWaORI0eaLqfNJCQkXPF6M2XKFN11112qqKhQZmam6RLbxJAhQ/TVV1/p7NmzwbaDBw8qJiZGPXr0aJsHCdulse3A2rVrLbfbba1atcrau3ev9fTTT1u33nqr5fP5LMuyrPHjx1vTp08P9v/rX/9qdejQwVqwYIG1b98+Kz8/37rpppus3bt3mxrCNdkd47x586y4uDhr48aNVmVlZXCrq6szNYRrsjvG73PC3TR2x3js2DGrU6dO1rPPPmsdOHDA+s///E8rMTHRevXVV00N4ZrsjjE/P9/q1KmTtWbNGuvw4cPWH//4R6t3797W6NGjTQ3hmurq6qxdu3ZZu3btsiRZixYtsnbt2mV9+eWXlmVZ1vTp063x48cH+x8+fNi6+eabrV/84hfWvn37rKKiIis2NtYqLi42NYRrsjvG3//+91aHDh2soqKiJq85Z86cMTWEq7I7vu9zwt00dsdYV1dn9ejRw/rZz35m/e///q/15z//2brzzjutyZMnt1lNUR1GLMuy3nrrLesHP/iBFRcXZ2VkZFj//d//HfzdQw89ZE2cOLFJ//Xr11t9+vSx4uLirHvuucfaunVrhCu2z84Yb7/9dkvSFVt+fn7kC7fB7r/jdzkhjFiW/TF+9tlnVmZmpuV2u6077rjDeu2116yLFy9GuGp77IzxwoUL1iuvvGL17t3bio+Pt7xer/XMM89Y//d//xf5wlvpk08+afb5dXlcEydOtB566KEr9unfv78VFxdn3XHHHdbKlSsjXrcddsf40EMPXbV/exPKv+F3OSGMhDLGffv2WdnZ2VbHjh2tHj16WHl5eda5c+farCaXZUXJfCcAAHCkqL1mBAAAOANhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFH/H6YRHTbwutbbAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def s(t): return  1./(1. - 0.9*np.sin(t))\n",
    "\n",
    "N = 24000\n",
    "tmin = 0.\n",
    "tmax = 12\n",
    "times = np.linspace(tmin,tmax,N)\n",
    "\n",
    "sample_rate = N/tmax\n",
    "\n",
    "samples = s(times)\n",
    "\n",
    "plt.plot(times,samples)\n",
    "plt.show()\n",
    "\n",
    "ck = rfft(samples - np.mean(samples))\n",
    "Sk = (np.abs(ck))**2\n",
    "\n",
    "#print('ck', len(ck))\n",
    "\n",
    "kmax = np.argmax(Sk)\n",
    "#print(kmax)\n",
    "f = (kmax/N)*sample_rate\n",
    "print('Max (Hz) =', f)\n",
    "\n",
    "ks = (sample_rate/N)*np.linspace(0,len(Sk),len(Sk))\n",
    "#ks = fftfreq(N,d=1./sample_rate)\n",
    "\n",
    "#print(len(ks))\n",
    "#print(len(Sk))\n",
    "\n",
    "plt.scatter(ks[0:20],Sk[0:20])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def stexp(t,n):  \n",
    "    f = 1\n",
    "    while (n > 0):\n",
    "        f = f + (0.9*np.sin(t))**n\n",
    "        n = n - 1\n",
    "    return f\n",
    "\n",
    "approx = [ ]\n",
    "for t in times:\n",
    "    func1 = stexp(t,n=10)\n",
    "    func2 = stexp(t,n=20)\n",
    "    func3 = stexp(t,n=30)\n",
    "    #print(t, func)\n",
    "    approx.append([func1,func2,func3]) \n",
    "approx = np.vstack(approx)\n",
    "\n",
    "plt.plot(times,approx[:,0])\n",
    "plt.plot(times,approx[:,1])\n",
    "plt.plot(times,approx[:,2])\n",
    "plt.plot(times,samples)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
