{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Delayed Nonlinear Negative Feedback Oscillator\n", "\n", "Implement the 3-state model of Brian Goodwin (B.C. Goodwin, Oscillatory behavior in enzymatic control processes, Adv. Enzym. Regul. 3 (1965) 425e437).\n", "\n", "The parameters are\n", "- alpha_1: maximal rate of X's transcription\n", "- K : activation threshold for Z on X\n", "- n : Hill coefficient\n", "- gamma_1: rate constant for degradation of X\n", "- alpha_2: rate constant for X causing production of Y\n", "- gamma_2: rate constant for degradation of Y\n", "- alpha_3: rate constant for Y causing production of Z\n", "- gamma_3: rate constant for degradation of Z\n", "\n", "The model is\n", "\\begin{eqnarray*}\n", "\\frac{dX}{dt} &=& \\alpha_1 \\frac{K^n}{K^n+Z^n} - \\gamma_1 X\\\\\n", "\\frac{dY}{dt} &=& \\alpha_2 X - \\gamma_2 Y\\\\\n", "\\frac{dZ}{dt} &=& \\alpha_3 Y - \\gamma_2 Z \\\\\n", "\\end{eqnarray*}\n", "\n", "(Equations as presented by D Gonze & P Ruoff, The Goodwin Oscillator and its Legacy, Acta Biotheoretica, 2020)\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def goodwin_oscillator( t, statevars, params ):\n", " X = statevars[0];\n", " Y = statevars[1];\n", " Z = statevars[2];\n", " alpha_1 = params[0]\n", " K = params[1]\n", " n = params[2]\n", " gamma_1 = params[3]\n", " alpha_2 = params[4]\n", " gamma_2 = params[5]\n", " alpha_3 = params[6]\n", " gamma_3 = params[7]\n", " \n", " dydt = np.zeros( (3,) )\n", " dydt[0] = alpha_1*K**n/(K**n+Z**n) - gamma_1*X\n", " dydt[1] = alph na_2*X - gamma_2*Y;\n", " dydt[2] = alpha_3*Y - gamma_3*Z;\n", "\n", " return dydt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulate the model\n", "\n", "Simulate the model with parameters from Figure 2 (with n modified) from B. Ananthasubramaniam, C. Schmal and H. Herzel, Amplitude Effects Allow Short Jet Lags and Large Seasonal Phase Shifts in Minimal Clock Models..., Journal of Molecular Biology.\n", "\n", "- alpha_1 = 1\n", "- K = 0.61\n", "- n = 11\n", "- gamma_1 = 0.15\n", "- alpha_2 = 1\n", "- gamma_2 = 0.15\n", "- alpha_3 = 1\n", "- gamma_3 = 0.5\n", "\n", "We will assume the model reaches its limit cycle within 200 hours of simulation. Simulate the model first for 200 hours. Then start a new simulation from the end time point of the first simulation. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.02051344 0.27934056 1.31619671]\n" ] } ], "source": [ "import scipy.integrate\n", "\n", "alpha_1 = 1\n", "K = 0.61\n", "#K = 0.4\n", "#K = 0.3\n", "n = 11\n", "gamma_1 = 0.15\n", "alpha_2 = 1\n", "gamma_2 = 0.15\n", "alpha_3 = 1\n", "gamma_3 = 0.25\n", "\n", "params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", "\n", "mf = lambda t,y : goodwin_oscillator(t,y, params)\n", "\n", "sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )\n", "print(sol2.y[:,0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the simulation\n", "Plot both simulations in separate subplots. The first should show the transient (the path it takes to reach the oscillation's limit cycle). The second should show the oscillation on its limit cycle)." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.subplot( 2, 1, 1)\n", "plt.plot( sol1.t, sol1.y.T )\n", "plt.xlabel( \"Time (h)\")\n", "plt.legend( ['X','Y','Z'])\n", "plt.subplot( 2, 1, 2 )\n", "plt.plot( sol2.t, sol2.y.T )\n", "plt.xlabel( \"Time (h)\")\n", "plt.legend( ['X','Y','Z'])\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize the transient in X-Y-Z space\n", "\n", "Examine the transient as it approaches the limit cycle. Visualize the limit cycle in X-Y-Z space." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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Q4wDeEEJQXV1NZmZmWG6EgvtfqOVfdf18/pxc7rxoeVhrRbKb0bPBKhLxiuL0OD59diGPvHucG9bksrYwxefjIkEO063h/f6UwcaDg4PU1dXhcDhITk7GZrPNav2Iy+U67QugYA6Tg7cbodVqIzZ2rr+/n8HBQRYtWkRBQUHY+3yv1cpf6yxcuyqbL160LKDnTXdwZsJn9RWvGB4eVuMVSnAwKWnqJrA7zsrn6apufvbqMbZ9crXP4ORMWQ5TQZIkkpKSSEpKYv78+ciyzPDwMP39/dTV1SGEIDk5mbS0NJKTk4OqmgwmGDk2NkZ8fHzAa89VzEly8FW7oNVqw2Z/z2xEZmYmiYmJYa3ncrn457sHeKxesKYwme9fuTxiLs9sBLR0Ot2EngmlDLqrq4vR0VFqampUE93TnzfqtXxpcxH3/LOeF2p7uXJl9qS1Z8NymA4ajUZ1nyoqKiakTZubmyc0kCUnJ09JRMFkPMxm82mfxoQ5Rg5T1S6EO7DWZrNRXV1NWloaa9eu5ciRI2GtNzo6yvt7q/nlXheJBolfXb8Sg25umJKhHiilDDotLQ2Hw0FJScmE+gqlsjEtLY3LV2Txtz0d/PqtFi5ZmjnpvZ8Ky2EqKO3X3g1kg4ODExrIlHiMd2VqMLUSFoslSg6RxHS1C+FYDr6yEeGQTUdHB80tLTzRbGDYZueedUbS4iLXPDVblsNU0Gg0xMXFERcXNyFeMTg4SG1tLW63m2sXxfKDt808daCTmyrzJzx/LlgO00Gv15OVlUVWVhYwbjkNDAzQ3t6O2WxWJ5ApNRiBkoPS2n26Y06QQyC1C6GQgyzLNDY2Mjw8PCkbEQo5uN1u6urqcLvdVDtz2HW8mf+6cilFckfQh1kZY++rHPpUR7p9vRdflY3Fg4P8/dAo//t2MwvoISsjTS1WmmuWQyCIiYmZIKWnpE2bm5sZHR1FCEFnZ6eaNvWHKDlEAMHULmg0GtXdCATeboT3hRosOVgsFqqrq8nLy6NHTuA3z+znipXZXLcmj717O4Nay2QyUVdXh8FgUCPqijmrBMlOteUw3cHWarVkZGTwtYu13PVEDY1yJkVxMercT0mSiImJYWxsjLi4uJCI4lSkIBUoDWRxcXHMmzePoaEh2tvbcblcExrIfKWFw3ErJEn6I3AF0CuEWHHiZ2nA34EioAW4XggxGN47nB6njByC1V3QarUThplMhUCKmoIhh97eXhoaGlixYgVuXSy3/HYXBamx/OCKpereAznMQgiam5vp7++noqJCvfCVjMHx48fRaDQ4HA5GR0fDqukIh1yCee6GohRW5Sfxl91d3FC5juzsbIQQtLa2MjIywrFjx7BYLOpBSktLC7iseC5oQSiQZRmj0UhhYSGFhYWT0sJut1sNavb19YUTc/gz8DDwmMfPvg28LoT4sSRJ3z7x/bfCekMB4JSQQyij5wJxK6ZyI7wRCDkoRVJms5nKykr0ej2f3VbFwJiDf3y6koQT8m6BzMt0uVzU1NRgNBpZu3atGmNRIupKibXD4aCqqoru7m6am5vVCkclYzBbCKaS8o4N+Xx5x2FeO9LPpcsyVdGT1NTUCfUHAwMDHDp0CJfLFZAmZSQsh0hZYN5NV95pYSUT8uqrr/KrX/0Kp9OJ1WrllltuYelS/8ViPvb7jiRJRV4/3gpsPvH/vwBvcaaRQzgl0NMdZsWNSE9PD6ioabr17HY7VVVVpKenU1FRgSRJ7NjfwZv1/XznkoUsyz1ZC6BUW/qD2WymurqaoqIi8vLyAPwSncFgIDY2lpKSEoxGo9qRqZiyvlyQSCPYA3XewnQKU408tqudS5ZmTJKJ86w/UOIVnpqUCkF6N1fNpaDmdKlMpUbkhhtuwGQyERsbS1FRkTo9PExkCyG6Tvy/G5icO54BzBo5hDt6birLoa+vj6NHj7J06VI1sjwdpophDAwMUFdXN8EtaR+0cv/LR1lXlMptGwonPH4qt6K7u5tjx46pOg6BQrmovTsyPV0QSZJUqyLUjsVIQKuRuHVdPj96pZGqjhFW5Y9P2/K3H61WOyGl6HA4GBwcVOMVSpbA6XSG3dkYSS2HYFKZ8+fPZ8uWLWG/rjeEEEKSpFkJSM04OURq9JwvclDciJGRkaB7I3xZDkpMoK+vb0LLtiwLvvPsIQAeuGoZGs3k4KY3OSguydjYmOqSBAp/ZOPLBfE8VIoL4ikkEwpCudtuKcvmN2+38PjuTpUcAl3DYDCozVWeWYL+/n6cTicjIyOqtRRs/0skVaACtdRmoEKyR5KkXCFElyRJuUBvJBf3hxklh0jKt/lqsVbciDVr1gS9tvd6TqeTmpoa4uLiqKysnHBBPbarjd0tQ/xo61LyUyf7/d6HWVGRSktLY/Xq1T73FglT1/tQKS7IwMAAg4ODqlUxky6IgjiDli1l2Ty5txPTmCNkc94zS+B2u9Hr9cTHxzMwMKAqRwUzQyNSWg7B6DPMgNDLP4HbgR+f+Pe5SC7uDzN2xUR6ZoSn5RCKG+ENT3IYHh7m0KFDLFiwgJycnAmPO9Y/xi9ea+T8RRlcszrP51qeMYehoSEOHToU8oRtZb1g/X5PF8Rut6uNVKG4IKEe7GtX5fD47g7+Wd3D+bnh37EVU947XqG4VlPFK7zXCBfBrBMOOUiStI3x4GOGJEntwPcZJ4V/SJJ0J3AcuD6kxYNExMlBCIHdbqenp4fs7OyI+cHKnMOjR4+G5Eb4W6+trY329nbKy8snmYKyLPjeP+sw6jT815alfg+MQg7KWqtXrz7l4qLeLojT6WRgYGCSCxLJLEhJZjwVBUnsONDFedkZMxJM9FaOUlwrRQzGs6oxLi5u1sRlPREOOQghbvLzqwtDWjAMRJQcPHX8W1tbJ92Fw4Hie4bqRnhDCEF/fz8ul4t169b5/OCfOtDJnuND/PeWpWROMdhWkiSOHTuGwWDwu1YwmInyab1e79MFaWhowGazTciChBPhv3Z1Lvf8s57qHhsbp+nunA6BHGxP1wrGxWAGBgZobm5mbGyMmJgY9YYVnl7Hh0tcFiJIDsoHIIRAp9NFtH9ecSMMBgMlJSVhrzc2NqZWKK5cudLnY/rNdn76rwYq56f4dSdg/GLs6ekhJyeHJUuWzJminakwVRaktbVVHUYzPDwcdBbkoiUZ/PfLjbzdYuHcRbOfhoyNjWXevHnMmzdPLXfu7u6eoHSdlpYW8MxPBcFaDuF2/M4FRIwclLiC8mFG4s6nRPxHR0eprKxk7969Ya+ppBZLS0vp7+/3+7j7XzqK1enmB1cunZSdUKBUYqalpU0YkxYuZrvxytsFUfoJPF0QT1N9Khj1Wj6yOJ3XjvRhd4WnvxGuSyBJEkajkZSUFEpKSibFK5SWbUXDYrqW7WBSmdHeCi+E21btiXCzEd6QZZn6+npsNhuVlZXY7XZ6e31nhN5u6OeF2h6+eP4CSjInf8hCCI4dO4bJZGLt2rWqpHqkcKqtD51OR2xsLEuXLlVTi56t28qcidTUVJ8p2stXZPHPml52tZq5Oju0oCxEvu3bO16htGx3d3dz9OhRYmJiVNcqPj5+Ust2oEQVTNpzLmNOvoNIZCM8YbPZqKqqIisrSzX9lYKsSY91uvnB80coyYznro1Fk37vmfJUZmaGcqd3u93Y7Xa/wcBT2XjlXd3o3bo9MjLCwMAAbW1tAJPuvuuKUkkxani1YZirK0PfRySCiVOt4d2yrZBgS0uLGjdQyCRQy+FUN8xFEnOKHLzdiEjo/iumvzfR+LNyHn3/OB1DNh77RMUkARNFHam4uJjc3JPS7NOVT3vDYrFQVVWFJEm43W5SUlJUP1iZuThXodFoSElJISUlBZh89zUajaSlpXHWPAOvNY8yanORaAztMpuqyjJQBEMw3vEKs9ms1leMjIzQ1NQUcN3IXP4MA0VEycHzD6IcmEA/GKvVqgq+TuVGBGpqCiFoampicHDQZ9rTFzl0DFn53bstXLY8m/XFEy2Wrq4umpubfZZBB2M5KNO0li5dSnx8PLIsT5g7odfrcbvdJCYmkpSUdEousmDMec+7r6cLsiLJyUuy4O/v1rKlPM+vCzIVgtFtnGqNUAhGkiQSExNJTExk/vz57Nq1i8zMTAYHB9W6EX/xigjGnr4KfAoQQA1whxAisNbkCGDGLAelaCmQD0ZxI5YtWzblABjvhh5/cDgcVFdXk5SUxJo1a3zuwRc5/PRfDUgSfPPikwNjZVnm6NGjWCwWv2XQgXRlCiE4fvw4PT09rFmzBoPBgNPpnNRnYLPZqKuro6uri9bWVpKSkkhPTw/pcM02PF2QNSMjpNUPUTMgcYHZ7NcFmQqRsBwiNXlKo9H4jFf09PSo8YqUlBS6uroiUnQlSdI84EvAMiGEVZKkfwA3Mt7SPSuYMXJQ0plTXdDeLdHTfYiBEI5Sobhw4ULVl/QFb3LY2TzAy4d6+dL5C8hLGe+p8OzM9FcGDdO7FW63m0OHDqHVatXSbH+PNxqNJCQkkJGRQXJysurft7a2TqhynEmrIhKBQAk4d0EKrx4d5KfXrGTBggV+XRBvAVsFp9JymA6+4hXt7e088MADNDU1ccstt3DNNddw9dVXh/MyOiBWkiQnEAd0hr/z4F48YvD8ILVa7ZQNQJ5uhNISPR0UcvBFOIrASFdXV0AVip6ugMst86MX65mXYuTOc+YDJ0kmkGG6U7kVVquVqqoq5s2bF7AMvrKep3+/YMECtRqwo6ODI0eOEB8fT1paGunp6WEV+MwEhBCcV5LKc7X97GoeZNPCdL8uiOeAYMWn1+v1Mx6QjCRiY2NZuHAhv/nNb/jmN7/J3XffTXd3d8jrCSE6JEn6OdAKWIF/CSH+Fan9BoIZdyt8QVFWms6N8Ia/O67L5aK2tha9Xk9lZWVAZp0nGf19bwdHe8d4+MYyYnQaWltb6ezspKKiIqDSYn/7Ulq//b3PYO/Q3o1WY2NjmEwmtcBHMdnDjZhHSkehsjCJhBgtbxw1sWnhREWuQLIgNpuNkZERUlNTQz7gsy0Yo6herVq1KqzXlCQplXGRl2JgCNguSdItQojHw1o4CMy4W+GJYN0Ib/giHF9CKsFg1Obi128dY0NxKucvTKOmpgZJkgImGZjsVihWTHd395TTuqdyU6a7ICVJIiEhgYSEBObPn4/b7VbbnHt6ehgeHmZsbIz09PSgZmRGCkIIYvRazipO5b2mgWkJx1cWZO/evfT29tLU1DStC+IPs219KJqZEcBHgGYhRB+AJElPA2cDpyc5TOVWhOJGeMN76lVnZyctLS1BC6l44tH3WhiyOPnSpgL27NlDfn4++fn5Qe3P8zAr8QWNRjOp9dv7OZGEIviakZGBRqNRMyGeJrsS2JwuDRdJBaZzFqTy6pF+mvotlPooKPMHvV6PTqdjyZIlANO6IP4w2+QQwYE2rcAGSZLiGHcrLgTCLxEOArPiVoTqRnhD6aSUZZm6ujqcTifr1q0LuRpt0Cbz552tXLQoBVtXA8uXL1fvXMFAIQebzcbBgwfJy8ujoKAg5AMWifJppdpv3rx5kxSkPCPv3sNbIgWVHErGP+/3mwaDIgcFyt58zdAwmUy0tbUhhJgQqPU8yJEgh9nqyPSEEGKXJEk7gP2ACzgA/C7U9SRJuprx9m9PlAGXCyFe8vWcGXUrXC4X9fX1IbsR3tBqtVgsFo4ePUpubi6FhYVhXdjPNDpxuWUuy3eHtT+NRoPFYmHfvn1hE+BMwJeClDK8ZXR0dEIloNLFGCnLIScphpKMON4/NsDtG/Knf2IA8BR3hXEXZGhoSE0rerogkRB7CZYcItVXIYT4PpMPdKhrPQM8o3wvSdJdwMeBV/w9Z8bIwe1209raSmFhYchuhDdsNhtdXV2Ul5eHdIf3RF3nEO91uLlycQKXnevf/J8OSut3f38/GzZsiMgU8JluvDIYDOTk5JCTk6NWAppMJg4dOoQsy8TExKhB1nD+Lspnfk5JKtv2dmJxuIkzhF8D4A29Xk9mZqYqrmOxWBgcHKSpqYmBgQE0Gg2ZmZkh14qcae3akiQtAr4HnC2E8JuDn5GYQ29vL8ePHycjI4Pi4uKw1xVC0NDQwPDwMMXFxWETw+joKN9/ej9GHXxna0VYkfDDhw9jtVrJycmJCDHMNjwrAYuKinC5XBw/fpyBgQH27t074S4cTKDNkxzOLk7lsV0dHGwf5uwF4ffKTAfPYTT79+8nJyeHkZER1QVRsjrTDc9VEIzlYDabVW2JuQhJkvTAE8DXhRCtUz02ouQgyzJHjhxhbGyMJUuWMDw8HPaaih5jampq2G4EjAcxX9nfRFWfzLWL9KTEhvYnUJq5lDuwyWQKa1+emO2WbU/odDqSk5ORJIkFCxaoojCeHZmB9Bd4ksOq/CS0Euw9Pjvk4L2PlJQU0tPTKS4uVl0QJQ6mxGYU8vN1fQXbrj3HLYf/Ag4JIf4+3QMjSg5ut5u4uDgWL17M0NBQ2IIvg4ODHD58WC1Eam9vD3lNpWXbarXyWo+RzETBJcWGkExnZV9KM9fAwEBIczcHBwdJTk6edOGd6qYdz4PtHQgcHh7GZDJNCGymp6eTkJAwYd+ea8TH6FiWm8je1vBvFsHC+/P154IcO3YMq9U6YTKX4oIEE7eYAeXpiEGSpM3ANUBFII+PKDkYDAYKC8dnOoSjBiWEoKWlhd7e3gmFSFqtFofDEfR6Shl0RkYGg4Ys9rYe4N6PLiZW0x30oW5tbaW7rZm1RakYhw4iDbiJsbnQ2wwgFoM0/UWkVE3GxsbS1NSEXq8nPT19guk+F1t/vQObylTq1tZWzGbzhIPlHdRcW5jMX3d3YHW6idVHPu4wFaYiW08XxHPEXXt7u+qCAEHJ0s9Fy+FEUdWfgJuFEKOBPGdGU5mhzE9wOp3U1tZiNBon1QmEMmlbucsvWbKEtLQ07vnDXnKSYriuIo/a6t6AyUEeamfgzf8hp2cXpcNHkN45+d7STnyJ99KRi85FXnkDcvFm0Ew+BJ5WhyIoouTwm5qasNlsquJyRkZGRJp4QkEg1ov3VGrlYNXW1jI2NsaxY8dU335tYTJ/2tlOdccI64vmVjZHgfeIO5fLxeDgIG1tbVitVoaGhqZ1QeawW/EfQBbwv177fsCfixFxclD85VAO8sjICLW1tT4l4iE4pSnPXgvF+niv0cSBtmG+f/kSYvTagNaTemqQ3vkZhsZ/MQ8ZOWcV7nWfRWQtQyTNA20MlqFehpsPkC+3ozn2Btq6Z5HTSnBv/k/kRR+FEx9Ge3s77e3tVFRUYDQaVSvIU0fAswt0//796HQ6tWsz1GnVwSIUq0WSJo682717N0lJSfT09NDQ0IBBG4NGgp1NpoDIIVJj7MKBTqcjMzMTq9WKXq8nJSVFba33dEE8p2xHyq2QJCkFeBRYwXjL9ieFEB+Eup4Q4gHggWCeM6vl01Ohvb2dtrY2ysrK/DJvoITjXaWo1WoRQvDrN5vISzZybcV4mfWU5DDWh+7176M9tAOnLh7zqk9j2HAnpBZNeqgrcZReVy45ZWXgdqA5+hLad3+G/uk7cJdeguPSn1PfPoDdbp+wH19QqhuTk5PJzc3FZrNNuCBnY1YmhB/3kCRJ9e0VteuiXTXsbOzlrMQBVeAmNTXVp3UUiY7MSEGZWeFN4p5TtmVZZu/evep09AjgV8DLQohrJUkyMN6VOauYsatLqWacDm63m8OHD4836lRWTnnBB3KnV1SWCgoKyM8/WXTzToOJqvYR/uvKparCk7/1NLU70L16DzjMHC+8lpSPfg9jqn+Z/QnZBa0BeelW5MWXo937KNq3foT2d5tIOu+X5K25LOgL3mg0kpeXR15e3qRKR0ULIi0tbYLmYSQKmCIJRe16TVE6Lx/uZXVFBaMnmqyam5vR6XRqYFN5H5HQcogUfGUrfLkgytySq666ivz8fHbs2BHSTBBJkpKBTcAnAIQQDiD4YFuYmDG3IpALdGxsjOrq6oD7GaazHBTRmBUrVqjVc8AJq+EY+amxXL36pLzbJHJwWtD96x601U9gTlvBscqvUHrW5dP6/T7FXjQ6hpfdQtNQEhVHfkLxW5/Dmf5nRPHmKdeCwGdl2u12TCYTzc3NWCwWkpOTSU9PR5blsA74TJn0K+clsv1AF21DDhZknBROUd6Hot2YmJhIcnLynAnKBpKt0Ol0XH311Tz00EPs3r2bzs7OcIYFFQN9wJ8kSSoH9gFfFkKMhbpgKDhlGpI9PT00NjZOOshTwR85eErC+SqDfrfRRG3nCP+9ZSl67ckPeQI5mHvQb/84mu5qWotuwLLuSyxaUBrQIfF1mHt7e2lsbGTlWVfiPusCNP+4Ef2O23He9A9E/vqA3u90iImJmWBVjIyMYDKZ6OnpYXBwELPZPOFufKpRljfeHFfTOcKCjJNWsuf7UAKbPT09mM1m9u3bR2pqKunp6UHP0IiUaxLMKDzlsUrWLkToGE83fvFEj8WvgG8D94azaCibmFUoAbexsTHWrVsXVDmrLzfA6XRSXV1NQkICa9eu9Xkx/O7dFnKSYthanjvh58p6kqkB/d9vhLF+qpbfQ8bZt1A8jcCLJzxbtsWJSd2KbP04USXivHE7+se3oP/Hx3He/hIirXTK9YK9a3q3PMfHx6sp4bGxMbUrMy0tbVa6Mn2hOCOOhBgtNR2jbC3z7aYpgU29Xo/NZmPJkiU+J4mnp6dPW5E626PwImjptAPtQohdJ77fwTg5zCpmxK3whOeFpsyiyMjIYPHixUFfgN6Wg6IGXVJS4rdkdX/rEHuOD/GdSxdNUpPWaDRo+w6jf+Uu3AKqyv6LBedeG3Q/vnKY3W63KjozSbsyPhPnjf/A8KeL0T11B47bXwZ8E2MkKiSV2onc3NwJXYytra1TFi/NJDSSxPLcRKo7p0+zKwfbWz3KYrGoIr1Op3OScrevNcJFsM1bEYj5dEuS1CZJ0mIhRD3j7dqHw1o0BMyo5aDoL2i1WvUDXbJkiSqmGsp6CjkoWg5TZTcAfvdeCylxeq5fM2/S72JHW8h86ws4JR2H1/2MJesvDikDoNFocLlc7NmzZ2o5uOQCnFf9P/RPXo/+lW/iuOSXfteMpL/tGTxT5OYUolCKlxSrQq/Xz2gacUVeIn/Z2Y7TLU9w8bzhaw9KYDM+Pp7CwkLcbvck5W6F9CI5RDdQtyLCf7cvAn87kak4BtwRqYUDxYyTg9PppKWlBZPJNKUqUiBQ7qiHDx/GbrdPq+VwtMfMm/X9fPH8BZO7AQebKXzri7gEtH/kEZas3BTyBzsyMsLo6Chr1qyZdgiPKNqE+5yvoXvv5+hKL8Ndeonf9zlTMBgME4qXlFhFe3s7MG51xMXFzQhJLM6KxyULjvVbWJztn9QDOdi+lLs9076xsbE4HA6cTmdYyt2BuhUOhyMiStcAQoiDwNqILBYiZtStkCSJ6urq8Qq5E9OhwoHNZsNisZCXl8fSpUunvXB//14LcQYtt6zzupNbBtA+eSOy28Gx8/6HBWXnhbynjo4OWltbVbHXQOA++yto6l/E+Np3GMvfAMbAArIzAUmSJmgjOBwOmpqaGBoaYvfu3ZOsinChEEJ9z9iU5BBKKtM77dvT00NrayvV1dUAISt3B2qBmM3mOdtXEQpmzHIYHh5maGiIkpISioqKwl5PEWuNiYkJqA28bdDKC7U93La+gJQ4j4vaZUfedhP64TbaNv8GXc7ykPYjhFAbudauXRvckF+tAeflD2H48yXE7Po19vMmBqFPZVemwWBQKx3z8vLUWIViVShme6gKUvPTYjHqNNT3mgH/rc3hZho8i8mWLFmC0+lkYGCAzs7OkJS7A03Nz9HS6ZAQcXJQypY7OjrU2Qvhruc5DGb//v0BPe9P/z6ORoI7zj6ZUpJlGcs//oP03gPYrngEOXU9coj9H4pFpKgMB3uYRU45zuXXoT/wJxyrbkckh5X6ijgkSZpQEq20O3srSClWRaDmtFYjUZoZT33P1Cn7SMu76fX6Scrdyqg7l8ultnX76pINFHO5IzMURJwc+vr6GBkZYd26dTQ2NobVtu1yuTh06BA6nW5KsVZvDFocPHWgky1luWQnjcc4HA4H3S/+lIXHX8B19leRVl6LprMz6EM9NjZGVVWV3/6PYGDZ8HWS6/8Pwzs/xnr5w+r7O5WWA/gPrHkfMEVBqra2Vu1gVKyKqbA4O57X6/unjGlEIt7hj2A8lbs9A5v9/f00NTVhMBhCEriJksM0yMrKUn1vRUcyFCjVk95l0DD9hfOPvR3YnDKfOGv8bjwyMkLzB89RefS3yEWbcJ/7TSC4Ri44WYG5cuVKkpKSQnhXJ/fvcrnQJOdhX3UHMXv/F8v6L+NMXRDQaL3ZwHQH01tBytNsHxkZwW6309XVRXp6+iSrYlFWPE8d7KZ31EF2km+TfjZVo70Dm0qXrBLYtNvt9PX1TdvPEkHl6TmBGQ1IhtKZCSfVqn1VTypr+vuQHC6Zx3e3c05JGouyE+js7KS9qY6zG38FcRk4t/5WbaUOlByUYqK+vr6whGiFEMiyrPrTOp0Oef1n4eAfiT/weywX/RRZlhkbG0Oj0aizNJW9zhZCISdPq8LlcrF//37sdju1tbXIsqz690lJSZRkjt+Nm00Wv+QQid6KUAnGs8HK7Xaze/duRkZGVIEbTwvJ83qPZMxBkiQt41L0HUKIKyKyaJCYUXIItjNTCEFjYyPDw8N+D6H37ApvvHK4l95ROz+8cjFHjhzBarWyYfg5NKPtOD/+LMSdrHwMhBw851yGk3HxJgb17xSfgavs4+gO/gX9xrtp6LFgtVpZsmQJkiSpfz+lEEeSpDnTkDQVdDodRUVFqi6lZzDQrhnvOWjsGWVDse/27bkyJ1MIQUxMDCUlJYB/5e7U1NRIuxVfBuqA0E3UMDErdQ6BwOFwUFNTQ2JiImvWrPF7YUzV7SmE4M8ftFKUHkvccAv69HSWSsfQ1zyJ6+yvIAo2TFprKnJQdCIVGfxQ4ZcYTsC19i50+/+I6dVfQtlnKCsrUx+jNFHJsjyBKBSSmAmiCNff936+TqebUOVoNpuJffMg+xs7WKLrVe/EnjMnTqXlMNUavpS7BwYG+P3vf88f//hHioqKWL9+Peecc07IrduSJOUDlwM/Ar4W1hsIAzNODoHEHEZGRqipqaG0tHRa5d6pXJV9rcPUdo5w61I9xUULyYoH/aN3I2evxL3x7kmPn4ochoeHqa2tDauiE1DLqpUD4+vQ2WKzsaRVkNv5CulXPaCKwyh7hPH3rQyXVdZzu93q32IuWRVTkYsSqyjJSMCs0bJq1TJ18nZ9fT1xcXGkp6dHpKBIluWwNS+mKoDyjLt88YtfxOFwMDQ0xNNPP43b7eaiiy4K9WUfAr4JhDbGLUKYUXIIxK1QiohWrVoVkEk2lVvx/96sJ14Hn7l4FZlpyeieuRPso7g+/gxoJ19o/sihs7OT48ePBzSteyoogUfltXxhdHSU2tpaytd8At2rX8Td9C/ciy73u6antaBYFcoUMED9/6ls2Q7k+UXpsextHVbVlhRRGCXF2NXVpU7iDkZG3hOzPe3K5XJxzjnncN1114X8epIkXQH0CiH2nRCEPWWY8YCkP8tBkbF3OBzTirx4wpdbIYTgnf2Hebd5lDvPLiQzLRlNwytoj/wfrvPuQWQs9ruW9wBcz0G/od51pnMjFPT19dHU1ERZWRlxseuQP/gR2trtU5KD9/4B9eJVGqwGBwfJysrC6XSqkn3BWhUzTQ7F6XE8X9s7YdCNZ4pRCIFer0ev16sB6tjYWLWuIpAy/NN0TuY5wBZJkj4KGIEkSZIeF0LcEu7CwWJGLIfpdCQVXz47OzugMmhPeK/pcDiorq7m5SYZjSRx64ZCcJjR/evbyBlLcK//nN+1PMnB5XJRXV1NYmIiq1evDvlwBEIMSqFYf38/a9asOSmBvmQLuv1/AtsQGFOCfu3h4WGOHDnCihUr1JZtT6vC5XKplsdUF3y4qdRALQeA4wNWluZMPlCyLE+QkffsyKyrq8PlcqmxCn9Wxek4J1MI8R3gO6BKyd99KogBToFboZRBKzMfgoXngVZatguKFvDGa/V8ZGkmOclGtK/dizTSgfPW5326E95rWSwWDh48SHFxMbm5uX4fPx0CIQbFYhJCsHr16gkXr3vp1ej3/g7t0Zdwl90U1Gt3d3fT2trK6tWrJ9xVPa0KhSgCiVXMtOWQnzK+x44hm09y8F7DV0fm4OCgalUYjUa1VkF5/8EcbH84wwbaBIVZC0h6l0GH2p2pWA7d3d0cO3aMsrIyXmscYcjq5KbKfKTeQ2j3/h736tsR+eumXEuj0WC32zlw4EBQilT+oLxXf8TgdDqpqakhLS2N+fPnT3qMnFOOnFKE7sizAZODUoMxNDRERUWFX1cokFiFQhSzYTnMU8hh2Obz99Pd9bVaLRkZGWRkZKixCW+dB6vVGvqbCHAfnoh0b4UQ4i3grYgtGCRmxa1wuVzU1tZiMBiCKoP2t3ZnZycAlZWV6PV6nthzmOKMODYUpaB78lMQk4zrvHumXEcIQXt7OxaLhXPPPTcsxWAhBLGxsVRVVZGZmUlGRsYk8rNYLFRXV7NgwQKysrL8vTnciy5Ht/f/gX0UYqYOVitWCEB5eXnAf1fPWIV3IFOWZZxOp/p9KJ9VIOSQZNSREKOlY8g3OQQTFJUkSR1OU1BQoFoVClnExcWpRVjB6joGOyczajkECEUEZffu3cyfP5958yYLrgQDp9NJR0cHRqNRrYU43DVCVfsI91y6CG3jK2iOv4fzogcg1v9sBGUArhCCuLi4sIhBOUQrV67EYrHQ39/PoUOHcLvdpKWlkZmZidvtpr6+nuXLl09bdu0uuRD97v9B2/I27sX+C+NcLhc1NTWkpKRQVFQUshugHH7lX6W4RzHdQ0mVBnKwJUliXrLRLzmEEy9QrIru7m4WLFgAgMlk4ujRozgcjinVo7wRbMxhur6S0wkzSg49PT3jFYobNoTViwDjrFxdXa36lMrFt21PB0a9hqtXpKF7/PvI6YuQV9/mdx1lNF5WVhaFhYXs3LkzpP34ii8oPvH8+fPVXoOjR48yMjKiDkeJi4ubMgsiz6tExCSjPfa6X3JQ5PYKCgrCipF4v5/m5mZGRkZYs2aNalWEUoAVaAFTXoqRtkHfpn8kMw1Go3GCVTE0NITJZKKpqYmYmJhJowi91wg0a2Wz2cJRnJ5zmBFyEEKohyI+Pj5sYujp6VFTfmazmbGx8XbfUZuL/6vu4oqVOaQefgxpqAXn9U+C1rcoiVJspQzmDRWBBB51Oh2jo6Po9Xo2bdrE2NgY/f39tLS0qLn9jIyMyRekRoe7eDPaY6+DkCfN3jSbzdTU1LBkyRJVoj5cCCHUIGlZWdkka2KqAixfqdJAXYJ5KUZ2Ng/6fPxMdWX6arIymUw0NDRgt9vV1m3FqgjGcphLszYigRkhh/r6eiRJYs2aNXzwQcgTvNRei5GRETW+YLVa1bvYswc7sTplbilPQvvMQ8jF5yNKLvC5lhLADLTYaqo9TVfxqPRjGI1GysvLkSRJVYYuLS3FZrPR19dHfX09drud9PR0VftCo9HgLt6M7shzSKaGCTUaykVcVlYWsRp+RRQ3MTGR4uLiKQ9kIEFNpR8kkIOdn2LE6pQZsDhJj5+YVZqtGoXY2Fh1borb7VaniCualEKIgILnc6GTNtKYEXJYvHix+sdSZNuD/aAVQZXExEQqKirUi01hcyEE2/Z2sHJeEitaH0eyDeHc/J+T1vFFMKEikIpHu91OdXU1ubm5k1rNFRiNRgoKClQzV6kIPHLkCAkJCeTElDAf0LbtxHWCHDo7O+no6GD16tWRGreG0+mkqqqKnJwcv3v1B18FWMrnMjo6ri7tcDimLMDKShwnhL5RxyRymEk9B3/QarWqjgOMWxV1dXV0dnbS1tY27Qi/qQreTkfMCDl4VjEqtQ7BfEhKfMGXoIpSm7C/bZimvjF+flk22vf/H+4lVyJyVk54rBK0i4uLm0AwoUC5Q051AYyOjnLo0CEWLlwYcD+GVqudUOhjNpvp6+3FbkhnuOoF+lI2YbPZsNlsVFRURGzqtlKItmDBAjIzM8NeT7Eq2traGBwcZMWKFeqNAXwXYGUmjJNcr9nBEq/1ItVRGc4asbGxqmURHx+vKl03Nzer0v9KrEIIEbb1IElSAfAY4/p5AvidEOJXYS0aBmYslalAudMHesdWJ0WtXOkz8qust2N/B3EGLZeP/AOcVtznfmvC45SZmfPnzycvLy/k9xJoKXR/f7+671BNfs9GHm3JJjJa3+dwby+OE7oODQ0NZGZmkpqaGtZFr8Qtli5dqg7BCRdKQHN0dJRVq1ZNIDF/BVjpceOP6Tfbfa43F/x3JeagzPpQrAqbzaa6HyMjI/zxj39Ep9OF27btAr4uhNgvSVIisE+SpFeFELM+swJmYeJVoJ2Z4sRIu6GhIY9JUb7XM9tcvHzIxI2LtRir/oK8/FpExiL1MUp+O9zCJs9IvZLK84XW1lZ6e3upqKiImDS5M3ctsXXPUJAok7tsI7IsMzg4SH9/v9pnoBQBBeNmKBmUSMYtlAC0y+Vi5cqVkw61d6xC+UqLHb/8uodtE7IgyuPmgonub2aF0WhUBWGcTift7e389Kc/ZfPmzVxwwQX85Cc/Cfq1hBBdQNeJ/49KklQHzOMUDLSBWSCHQDozlb6G+Pj4KbUcYPxC+6DDhsXh5tOaF0B24fJox25tbaWrqyuoKkx/0XLFh/ZHDMpoP5fLRUVFRcTudFarlWNDMVQC+Zo+3Iy/byXKrvQZ9PX1UVNTgyzLpKenk5mZOaUqdE9Pj9ptGqm4hVIzEhMTw7Jly6Y90J5EodPpSInV0T/mVIlYcT8iNZAmXATiEuv1etatW8eyZct49tlnsdl8124EA0mSioDVwK5pHjpjmBW3YirLQRFsDbSvQavV8uZxOxVpDnKatiOvuA5Si5Blmbq6OtxuN2vXrg3YN1eqOT33HEhGQiG01NTUkEb7+cPIyAiHDh1iWcXFiIN6NN3VuJdsmbRnpaZC0W80mUwcP34cs9lMcnIymZmZpKWlqX8HpdFrqhLrYOF2u9W/QSjjBzQaDVmJMZgsLmJiYlSLYmRkBJfLhcvlUq2JU6VVEWgqc2xsTE1LhzO4CUCSpATgKeArQoiRsBYLA7PiVvizHJSmmWAEW48P2mgYdLNj4VvQZsO9YVxko6qqioyMjKCrBb3vUp6BR38Xo9Vqpbq6mqKiomnFaYKB0sJdXl4+HuTKXIKmp3ra5+n1elWdSJZlhoeH6e/vn5CO02q1rFq1KmIHTMl0KENkQkVmgoG+0fGYg0ajwWw2q26PwWCYVQUsXwg0axKpvgpJkvSME8PfhBBPh71gGDglboUQgmPHjjEwMBC0YOszB7tJlixU9DyNvOQKRgzZVO/Zw6JFi0KKuivkEGjgcWhoiLq6OpYtWxZ2o5Yn2tra6OnpmRC3kLPL0B59AYSYoA413ftJTU0lNTUVWZaprq7G5XIhyzJ79uyZUFMRqrWjVJkWFRX57xMJEBkJMTT1W4Dxv+2RI0coLy9XKw39FWAp1qi/VGkk6w5mixyk8Rf6A1AnhHgwrMUigFl3K5T0Ymxs7ORJ1NPA6ZZ5tqqLu5NeR2MfoWvRLRypqaG8vDzkD0ZJuyrlwlMRg9IWvWrVqoiVySp1GFarldWrV0+M8mevRFf9N6TRDkRScHUIituTnp7O/Pnz1Z8NDAzQ0dFBXV0diYmJqvsRaDZJaSBbtGhRSC333kiJ1TFsdWEymWhsbGTVqlU+zfJAC7CUx812zCJC4rLnALcCNZIkHTzxs3uEEC+Gu3AomBW3QhGZVWZRhJpefKfBxKjZzMfiX8Scs55j1kQqK8vDKmySJAmXy4VOp5tSnEVJWUXaZz906BCxsbGsXLlycgt3+sLxPZoagyIH5c5eWFg4oU7EW+h1ZGSE/v5+jh8/PqEF2t9FrkjaBdJAFiiS4/RYnW6ONDRSWbE6ICvSXwGWZ6rU6XTOKklEoiNTCPEecOpTNCcwK26FUi4c7kCY56q6uDX2A+LdwzSW3hx2hkAIQXx8PLW1teqh8e51cLvdHD58GIPBwKpVqyIWeFQUrKaqTlTIQTPQiFy8OaB1A72zS9LJAbolJSXYbDY1TWqz2UhNTSUzM5OUlBQ0Gg2Dg4PU19dHNAUKoHGMuxRFi5aHnAb2lSo9fvw48fHxqgsSilReMDjT5mTCLLgVGo2G/v7+kOILnhixOnmjvpe3jC8yElNEwcYbA/bDfUG50yxYsICCgoJJvQ6ZmZnExsZSU1NDdnY2BQUF0y8aIJQDXFpaOnUDWFwGwpiCZGoMaN3h4WEOHz7MihUrgm4dNhqNE3oMFJWl+vp6leDD7UvxRnt7Oy7reDB+LLAJBtNCkiSam5txuVwsW7ZsgvvhGdwMZFhQMLUWFoslLJXyuYgZtRxcLpf6QZ111llhsfYze1tYJ2qY526jruCLFBOa/eUr8BgTEzPhYJhMJlpaWjCZTKSmphITExMRyTE4GdAMyDSXJOS0UjQD05ODUqEZiXiIp4vR0dFBW1sbubm5qrCM8ruEhISQLSlFvap8SSnsr2HYGj47KMVYsiyrNRfehVXeJDHVsKBgyv49U5lnCmaMHKxWKwcPHiQrK0sd7xYq2tvbeXp/O/caX0UY0+nLPo/5firXpkIgGQmtVotWq8Vms7Fu3Trcbjd9fX0cO3aMmJgYtQ8ilCKinp4eWlpagjrAIq0ETcvbUz5GacqKZIUmjNdGmEwmKisr1b+1w+HAZDLR3NzM2NgYKSkpakl3IJ+HEr+xWCyUlZVR3zvefj9kDW2mque6SjewMi3MG76Cmt6E4R3UDEYF6kwSeoEZ1HM4dOgQy5YtQ6/XU19fH9I6igxa17AN22AHZ8fsw736q2gMsUF9cMqepitsgvGUYnd394SDlpKSwsKFC1VNhpqaGoQQZGRkkJmZSXx8/JR3UEVt2mQyUVFREVQAVU4uQGfuBpcddBMJyVOgJZJNWUopu9VqnSQ/ZzAYyM3NJTc3F1mW1enUjY2NGI1G1arwlXFQ7uxut1ttzEqOHf9bDIVhOQghqKurQ6fTsXDhwoCsmUCCmna7PeCgZjTmECAkSWLt2rXA+J0mlGG6SmFTeno6x0xx3K59ZVwIpeIONPXtQTVzBUIMyoXrcDj8HjRPpSeHw6GObLdarZMCeJ7r1tfX43a7QypCEknj0nqSuRuRMn/Cur4EWsKFctA0Go16gP3BuxlJIU9FJk+pqVDcJ+UAe44jSDaOX4IjttAsByGEWr5dUlISllyet/vR1tZGUlKSShZTFWCdacrTMINuhadZFkjjlSeUlu3S0lKysrL41ktv8qT+HeSlWyAhG622K2DCCUSDQam9SEpKYtGiRQFdYAaDQa0OVAJ4PT091NfXq/UDKSkpaj1BqCXWKjmMdKjkoAi0JCQksGDBgohlUGRZpra2lvj4+JDW9SWT19bWxujoKG63m6SkpEl3dqN+nIStjuBvIEpfR2xsbET/DpIkceTIEfXvEIgCVtRyCAGecyYCgdKyXVZWRkJCAke6R1lieo04vRVHxScCXjPQikdFj9G7JiAYeMukj46O0tXVpdYwpKenY7fbQ6q5F4kKObQD4Qm0TAWlaCozMzMimRm9Xk92djYZGRlUV1cTGxuLTqdj//796PV69e8VFxdHrF6DJUhyUIhMUbCKFBRLJDY2Vp2sPV0Blsvlor+/P0oOwSJQNlf8Z5PJNKFl+/+qu7lZ+wbOtEWIeeNzKKbq11DWCoQYlNRfJHUNlDvJ4OCgGnjs6+ubYGpP1z054b0kjjejSSMdERdoUaC4cAUFBSETpC+4XC51splCZKWlpVitVvr7+9XUsUEDQ2ZLwAVLsixTU1NDcnJySA1f/uDpoiiq1d7wFat49913aWlpmRNdpJHEjJFDMCaeYiYbDIYJJdVCCBpqdrJK04Rr9X+pdQ1TkUOgxBBK5iAQKHoJK1asUO8khYWFFBYWTuqeVOIUU4q36GMRxlRcg+0cOHAgokQGJxWhSkpKwhLd9YbT6eTgwYPk5+dP6raNjY2dIJMXv/MDBkbG2LVrFwkJCapV4SumpPSLpKWlUVhYGLH9KrGWYGMXe/bs4Z577mH37t0RJey5gBm3HKaDzWbj4MGDzJs3b5I5W9M5wgWWl3EbDLhXnJxcrNFoGBxzcHjQhN3lZnF2IgWpsQEHHltaWhgcHAw6czAdurq6aGtr86uX4N09OTQ0pFaOxsfHq4rU3ntyxSQz2nucss2RrU4cGxtTlawjSTgOh4ODBw8G1Jil1WpJjDWgj41lw4YV4zJ5fX0cPHgQSZImlHQrxJCZmRlRl0ohBr1eHxQx7Nu3j69+9as899xzEd3PXMGskYOv1tehoSE15elLZv21mlY+r30f56IrkOLGI+I9I3Z+8+9OrMcPki2Z6BGp7JaXsL40l/+8tJS8FKPfu7ASwNLpdBFtXw50JJ0nPCP9qnZkXx8HDhxAo9Go9RSjo6OkCSNpMQJnBIlBcalWrlwZUV9ZsURKS0sDrhiM1WuxOt0TZPIWLFiA3W5X50tYLBZcLhdZWVlhtYh7w5MYSktLAyaGqqoqvvCFL/DUU0+pjW1nGmaFHBQ3wPPQdHR00NraSkVFhU+zXgiBq/ZZkiQLjjW3IYB3G3qp2vFjfiKeJdVgVh87pk/lvrZbuelP5/KX21ezIGPyIVJ6GZRhNpGCUoshSVJQI+k84etQKHdPm83Gxrh0sJoiosgMJyXuI+1SKWXhwVoicQatz4BkTEwMeXl5ZGVlcfDgQTIyMpBlmd27d4csk+cJJR2s0+mCIoZDhw7xmc98hu3bt1NaWhrSa58OmJWYgyc5KNJqNpuNyspKv3fZ2s5RPmJ7nZHEQmIKzuLV/UfJfOnTfF1ThylrA53LbyR9yVmI/gaM7z/Iz7p+zU9kM1/8u55/fHoN8YaT6yrmc0lJSUT9QiXC728wbqgwGAxYrVYSExPHZ4s+vx3RVs/OnTt9qjwFA0UqLtLVlIpobSgdm0a9FtOYw+fvXC6XGrtQgqW+ZPIUogg40HuCGLRabcCFUwBHjhzhzjvvZNu2bSxevHj6J5zGmBXLQRF8UdJwgUir/ftAFV/SHsZcdjd7jjRT8vLHKdV0YL74IYazN+F0uUhJKkBOyMdduJGYf36Gbzb+md0DBfzx/Uy+eP54tFkJEC5fvjyi5a2RSIH6guL6GAwGtQhJnzoP3bFRNqxfz/DICL29vTQ1NWE0GlX3I5CD3t7ergrKRKrtHE5K24Xqoug0Ei55sjiLEtQsLCycoLgVikyeJ5TCNI1GExQxNDQ08IlPfILHH3+c5cuXB/0+TzfMmlsxOjpKU1MTJSUl00qrCSHQ1z0LwHDxRzFu+yQlUgdVhbfTsecgDvsuBlJWcumVN5CRFIuki8Fxxf9g/MMmfmV4nIs+WMwt6/OxDPbR2dkZUUFVODmfItKBPF8CLQDCmITktiPJDnVyFoxbRH19fVRXV09Zzq3ERIaHhyfJxocLRb0pHBdFr5Vwe5GD0+nkwIEDFBcXT2vtTSWTZzAYVKsiNjZ2Qg9GoAVvMN4odtttt/HnP/+ZsrKykN7n6YZZcSscDgf19fWsXr06oLv3oc4RLnC8SW9aOQef+zWXn1DmXtv6B9YqD7Js483fPsX+s+5l7fJSUlNTcW66h/wXvsBZ8n7+8HoyF8/XRbTnAE766+HMp/AFfwItAOhPdPs5raA7WUjleff0LudWJnwnJSXR2NiIy+WKaJk1MK16U6DQaiRc7pPkoGQ7FixYEHR61VMmD8YbAPv6+qirq1NFh2JjY6ctDfdEW1sbN998M7///e+pqKgIaj+nM2a0asNz0MnChQsDNusP7H2PxZp2hrTpXG551u/jzpf2kbrzv2lo7WTXrl1Uu0twxWZwl/EN3mqxsHLlyogSQ0dHB8eOHaOioiLiKcUDBw5QWlrq00URuvE7suS0+F1DKecuLy+nsrKS1NRUurq6eOeddzCZTKSnpwdVqTodFNdm9erVYastaz3cCrvdzoEDByJWdxEbG0thYSGrV68mKSkJvV6PVqtl165d1NbW0tPTo5KGL3R2dnLjjTfyP//zP6xbty7s/ZxOmDHLwe12U1NTg1arJT8/P6hgXWLDswAsMr0x7WM3s5fH697n6ps+Q39/P+3J61nT/S86B80caW6jJD9ngj+uPfhXNL2HkOdVjo+7Ty6YVjRG6VIcGxuLuCUSkECLp+UQAJSZjx0dHRQVFZGWlkZfXx/Hjx9Hr9ercYpQD3VXV5c6tzMSdSI6jQaXLNQ06MKFCyOiT6lAaaqTJInVq1er4wimk8nr7u7mhhtu4Je//CXnnHNOxPZzumDGyMHhcJCamkpBQQEtLS0BN0od7xtls+Ntn0ouexd8jrXHHpn088rWP9LSdS3dxxspX7UV/csvsEFTx77WfMymngl1A0nDregOP4V08C8AyPHZyPmVJ8hiHXLWctCevOCVAKFer6esrCyiU5gCFmjRn/jdFJaDJ5TAb25uLvPmjfdmJCcnq6XLnuXcSpwiUOGW9vZ2ent7J4nhhgOdRsLlljl48GDE4zhCCBoaGpBleYLOw1QyeYcPH+a1116jtraWn/3sZ2zevDli+zmdMGPkEBcXp1Y86nS6gDszD+97m6ukoQk/21nwKVbe+EOWSRIW7uXYb69nxci76u8Xa9p4+M1XuPHqq4nTCXgZVkgtDEvxVFauUDUsDx8+jDv2IjKuvJ487RDxA7VoO/ag6diDrv55AITOiJyzCjl3Fc7MFdQNGUkqWEFhhAtdghJoESfcAWl6L3A62XjFzFbKufv7+1XhlunKuVX1pvLyiFpPQnZjd7pYsmTljBCD2+32KwCjwFMmLz09nb/+9a8UFRXx7W9/m4GBAT7+8Y9HbF+nC2YtW+Fw+M5je0NqeHnC93XZl1N2039N+NmCz/wdfjaxSi7D3qLKdMlJ81hh7uH5gXEz3HPkvXIg6nstWB1LSV+ykcxzM0nRWNB27kPTsRtN5350+/+I3u2gEhDGVOScMuTcVePEkVOOSMgJScMyJIEW94m/nW5qErFarVRVVQUsG6/X6ycItwwODvos59bpdBPUmyIZ1LRYLAya+hFoIk4MSiDWUz9iOgwODnL77bdzzz33sGXLFoQQ2O2TB/1+GDAr2YpA5mUCmO0uykbenhAmnX/7o74Wn/Sj+NGWk9/EppFisTBmn/yangdC0Yvs6OigbmSElJRSsladjaZCQ/3hGlZm60gyN6HtPoimuwrdzoeRxPiaIjYVOXM5ctZy5KxlyFnLEekLQev/AIcs0KKQg9Z/OjZc2XjvWZye5dw2mw2j0ciKFSsiSgxKcVp6RjpSZ1/E1lWIwel0BkUMIyMjXH/99XzjG99gy5bxEYSSJIUdcD1dMWuWQyBuRUNLKxs0Per3/Z/ejy/JTl/RZQkPIhACCQFMPfVIq9WqkvRKI9Tx48cZGBggPT0dc2IuMUXr0K269cQLW9D0HkLTXY2m9zBS3yF0B/+C5BofnCo0ekT6wnGySF+ESC9FTitFpBThRhOyQIumv3587Xjf+X6l1iBSsvFKOXdCQgI2m42EhAQSExM5cuQITqdTbTtPSkoKOQajVFSuXLmSt//dHbFYjhI8DpYYzGYz119/PV/4whe45pprIrKX0x0zSg5KVHg6/QUY/1DHRocm/Czj9xV037GHpMyTHW8Wi4WdL/2NK7yeb0ken/GA24k0dJxm5wZykgJnfEXNR5Zlzj33XGw2G729vbS0tGAwGMjKyhqvRDyR5VAhu5AGj6HpPTxOHH2H0Rx/H92hHSffm0aH1ZjNyrRSYuatRLaUIpILEAnZ4+6Jwf+B1rR9gK76CeT8dSezFh5QxG/DrTXwhizLHDp0iLi4OJXMCgoKcLnGp1MpCk+hlHMrVo5CZkIINBHgBoUY7HZ7QBO/FYyNjXHjjTfyqU99iptuuin8jZwhmNXGK39QWq1LFizkqJzPIk27+rucP1VOeGwcTCKGPpFM6ebbAMbv5I5R/uUs56oFkzs9/b1+Q0MDdrud1atXo9FoMBgMJCUlUVpaisViobe3l6qqKiRJIjMzk6ysrPEMg0aHSF+EO30R7qVXnVzUPopmoAln92FM9R+QKQ0SZ25D2vNvJHmi5SP08YiEHERCFiI+G1xWNCMdSCMdSLZB5LQSHJf+YtK+u7q6aG9vZ/XqwCZFBQolDZ2amjqp41Cn05GdnU12drZajagMAI6NjVXjFP72MzIywuHDhydYObIATQQsh2PHjgVNDFarlZtvvpmbb76Z2267Lew9nEmYtd4Kf26FpwZDZlIsVVf+BfMLX6CCuoDWPkQJpvP+m3X6TsQLP8dw6EneEavozzmPzYumbxlWhGbi4+P9Vs3FxcVRVFREUVGR2jFZV1eHy+UiPT2drKysyanAmESGE0qotVlZeulHkVJSsMG4pTHUijTagWTuRjL3Ipl7xr/GetB0HxwXeEmchztvDSK5EFf5zWBMmbCn1tZW+vv7I153oZRwZ2VlTatR4FmN6NkMVVVVBaCmjxUSGB4epq6ujrKysgkzHsQ07l8gUCpDly9fHjAx2O12brnlFq6++mruvPPOsPdwpkGaZhpxWJ+a0+lElmW1Tt67wsxz3P2EcmuXzN7d7+KoeZYVg69TqPEfrDJrkoiTzWiQsQk929wX8Pq8z3L/NavJSJj6bqrIo+Xl5an1AMG+P5PJRG9vL2NjY6SlpZGVlUVKSgqDg4Pq+L9IVlMqprPFYol4gHAq9aZg4XA46Ovro6+vD5vNRnx8PMPDw1RUVEwa/vLfLx3lxdpe/v2NjSG9VijE4HA4uPXWW/nIRz7Cl770pYjWr4SAOTMf0xOnxK2YTsrNoNNw9tnn4V6/kZraWmpsMgbnMJaeBsRgC1r7MFrHKJLbjk2KZcSQzHDiYuzzNrBhWTHXF0w/Xl6JlC9cuDDkMWaeDT9ut5uBgQG6urqora3F7XazePHiiOolKNkOwOfg3XAQjHpTIDAYDMybN4958+ZhMpmoq6sjOTmZqqoqEhMTycrKIi0tDZ1OhxCEHHM4duxY0MTgdDr55Cc/yaZNm+YCMcxZzAo5aDQaFAslUI1Hu91OdXU1eXl5rFLv6psjsh9lJF0oMyX9QavVkpmZidVqxWq1Mn/+fHWsXnx8PFlZWWrNQCgIVzZ+KoSi3hQoBgYGaGxspLKykpiYGLVsua+vj+bmZgwGA6Pm0AxUpXgrmCYql8vFXXfdRUVFBXfffXeUGKbAjGcrPBHo1Cklmr148eKI1tjDSbGTSDQMeULJrdtsNjWoqUjVm81ment71d4GJfMRaBu5EgfIyMiIqIoVhK7eFAg8uzaV9+pZtqwEe11HDuN2u9i9e3fA5dzNzc2YzeagiMHtdvP5z3+exYsX893vfjdKDNNgVgVmAyEGJfId6VHvQgi1hiHSYie+BFoUeErAlZSUTFAwEkKomQ9/Q1iVuEgk4gDeMJvN1NbWsmzZspAKp6aCYhlMl0mJi4tDGxNHUpyL1atXB1TOrXT6BkMMsizzla98hby8PO67774oMQSAGQ1IulwuNeh44MABAHXQiXc3nzJPsr+/n5UrV0Y0NSfLMvX19ciyzNKlSyMaxPMn0BIIlKBdb28vDodDzXwoUmczJRsP4as3TQXFSlq1alVAXZuff7KarhE7T991Mm3tWc49ODhIQkICmZmZjI2Nqa5EoJ+jLMvcfffdGI1GHnzwwbk4X2JOMtWMk4PD4VDjC2NjY/T29tLX1zehsEin0017eIUQ3PrnA8xPj2VjSRpnLUgjJXb6C8/tdlNdXU1ycjLFxcURvWNMKdASJJTiot7eXnVi89DQEMuXL/epzB0OPCsqIz02vqenh9bW1oCJAeATfzmAWwj++gnfQirKFLGGhgZGR0fVcYOZmZnTBnxlWeaee+7B5XLx8MMPzwgx2Gw2Nm3ahN1ux+Vyce211/KDH/wgmCU+fOTw6KOPUlxc7FNIViks6unpwWq1kpKSwpIlS/zGAaxON9997gj/PjbAiM2FRoKVeUmcU5LGuaVprMhLQusV8lYOb0FBQcRNciXbEWiTUzAYGhpSZ3daLBaSkpLU6H64NQ1KHKC8vDziPQOKzsOqVauCctuu+/1e0uP1/Pbmcr+POX78OENDQ6xcuXJCmnSqcm5ZlrnvvvsYGhrid7/73YxZDEIIdVam0+lk48aN/OpXv2LDhg2BLjEnyWFGYw65ubn86U9/4stf/jKbNm1i69atnHXWWeh0OuLi4sjKyqKnp4eSkhI1Gg+o/Q6eF2+sXsuD1y7HJcvUdozyXtMA7zUN8L/vtPDIOy0kGXWcvSCNc0rSWF+UQop+vLhpJg5vQAItIUIRxF27dq2qeTg8PKwqL8XGxqqZj2CFVpRy8EhXVMJ4C3pXV1fQxAAw5nBRmObfAvAkBo1GM6HL1rucOyUlRRXefeihh+jt7eVPf/rTjLoSkiSprpnT6cTpdJ4RMY0ZtRwU2O12XnvtNbZv386ePXs455xzKC0tpa6ujvvvv5/k5OQJj+3t7aW3txdZlqcN2A1ZnHzQPMC7jQO83zRAn3m8gzHdKLFhQRrnLMxkXVEqecmRuUsqAi3l5eURrWGAk4e3vLzcZyZDuUP19vbS39+PTqcLWNVJuauXl5dHdMoXnBSACVXn4dxfvM/5i9L54ZVLJv2utbWVwcFBlRimgtI89/zzz/PjH/9YtRyuuuqqiN8gvOF2u1mzZg2NjY18/vOf5yc/+UkwT5+TTDIr5OAJp9PJvffey2OPPUZOTg7l5eVs3bqVzZs3T7qbKeajovOXmZlJdna23yyGEIKdh4/zVl0Hna4E9rWNMmQd72MoSDVSOT+VdUUprClMIS85Jmh2VwRaysvLI37n7ejooKurK6jDq6g69fX1qbMbsrKyJv19wj28U6GtrY3+/n7KyspCWtvplln1o7f5j01FfHHzxGnZra2tDAwMBNXeLoTg17/+Nfv27eN73/seL730Ehs2bOC8884Lem+hYGhoiKuvvprf/OY3rFixItCnzUlymPVZmW63G7PZzNGjRzEajbz77rvs2LGD//zP/6S8vJyrrrqKCy+8EKPROKHKzul00tfXR0NDAzabjYyMDLKzs9V8uCKiEusc4ZtXb0Cr1SILQUPvGLtbhtjdMshrR/p4+mAXAFmJBlblJ7O6IJlV+UkszU3EoPV9AYYk0BIEFIWlYKXXPFWdFPVpz79PZmYmAwMDDA8PzwgxKIc31ElfAH1mBwLITZpoKbW1tYVEDL/97W/ZuXMn27dvx2AwzLqMfEpKCueffz4vv/xyMOQwJzHrloM/uN1u/v3vf/PUU0/x+uuvs3TpUq666iouuuiiSXdCl8tFf38/vb29WCwW0tLSGBsbw2g0TikHJgtBfY+ZA23DHGgb4WD7MB1D41oMMToNy3MTx8miIIkVuUlkJY5bB4pAy5IlSyLquyrdoA6Hg2XLlkVsbbfbrc5tsNls5OTkkJ2dTUpKSsReQ5mDEYi5PxV2twzyiccO8ruby9hYOl6d2dbWhslkCpoY/vCHP/DKK6/w9NNPR3ROyXTo6+tDr9eTkpKC1Wrl4osv5lvf+hZXXOHdP+wXc9JymDPk4AlZltm7dy/bt2/nX//6FyUlJWzZsoXLLrtsUgBQkTKH8QskLS2N7OxskpOn768A6B21c7D9BFm0DXOoa1SVSU+P11OYAIuzYjlnaSEr5yWRlRiZi06WZXWAazBTlwKBoras9Hco07wHBwfVvob09PSQLYljx44xNjbG8uXLwyab/32nhYffaub9b2wkJVavuinBWiN/+ctfeOaZZ3juueciHguaDtXV1dx+++1qTc/111/P9773vWCWiJJDKJBlmaqqKrZv387LL7/MvHnz2LJlC5dffrk6gbm8vFzVF1BqBUZGRkhJSQn6jml3uTncZaa6fYj3D7fSNqahbdiBMpApI8HA8txEluUksDA7gUVZ8RSmxaIL4kJW9BKSk5MpKiqKODHU1dWh1WonTXRS+hp6e3sxmUwYjUa11iSQOIcQIqRGp6lwx2MHGLG5eOquStrb2+nr6wuaGJ544gmeeOIJnn/++YjXbcwSouQQLoQQ1NbWsmPHDrZv387g4CCf+tSnuOuuuyY1DCkVdr29vQwNDZGcnKzWCkx34VmtVqqrq1mwYAGZmZlYHG6OdI9yqMvM4a5RartGaO63qIRh0GooyYxjUVYCC7PiWZQVz8KsBLISDZMOkNPppLq6muzs7Gn1EoKFL/WmqeCZ+VDk+71TyAqU3hHFBYoEMdR1j3LDo/u4bX0+Ny410tfXF3Rgc8eOHfzhD3/ghRdeiHil5ywiSg6RwoEDB7jzzjt54IEH2LNnD88//zwJCQls2bKFK6+8kqysrEl3zKGhIXp7exkYGJjStFaavpYuXTplI5LN6eZYv4WjvWaO9ozR0GvmaO+YmkoFSIzRUZQeS1F6HEXpceQn67H1tVK5pIii/MgWZU2l3hQIFPn+3t5edZ6FZ+bj6NGjk2Y/hIMxu4vrHt2LxeHmf67Mxz5iCjpo+txzz/HII4/w/PPPT0iHn4aIkkOk4HA4GB0dVa0Fxdx96qmnePbZZzEYDFx55ZVs3bqV3Nxcn6Z1T08PJpOJ+Ph4td9jeHg4bIGWIYtTJYpj/RZaTBaaTRa6RybKm2cnxlCUHkthWix5yUbmpcQyL8XIvBQjGQmGoGTTglFvCgSKfH9vby9W67i8f1xcXMTEZfrMdu57vp63G0z87LJ8sjWjQRPDiy++yC9+8QtefPHFiJeXnwJEyWE2IISgra2Np556imeeeQa3282VV17JVVddRUFBwSSiMJvN9PT00N3djdPppKSkhNzc3IgWCpnNZvYerCYxp5g+h5YWk4XjJivNJgvtg1YGLBM1JfVa6QRhjH9lJ8aQmRhDRryBjAQDmYkG0uMN6LWaiKo3eUMIweHDh3E6neh0OrUCMSsry+/gm6kw5nDx5w/a+OO/23C6ZT5dmcE5mY6gieHVV1/l/vvv54UXXoh4Q9opQpQcZhtCCLq6unj66ad55plnGBsb4/LLL2fr1q2UlJSoRNHa2kpfXx+lpaWYTKZJjWHhFDwpTU5TWSMWh5vOYRsdQzY6h2x0DFnpGFb+b5tEHgpSY3XEa93kpMSRl5ZAZkIMGQknCET9N4aEGG3QroBCDDExMerfSqlA7O3tVTslFffMX8l017CNA23D7G8b5l91ffSbHVy8NJOPr0hAax0Imhjeeustvv/97/PCCy9ERLFqjiBKDqcavb29PPPMMzz99NMMDAxw2WWX0djYyIUXXsgNN9ww4U5osVjo6emhr69vwnyLYPLn/f39ajYlnCYnh1vGZHbQb3bQd+LfrqExjrZ249TFMeIYN9X7zQ6c7skfmVGnUUkjJVZPUqyOJKOeRKOOZKNO/T7JqCPJqCPeoOFYYwOJ8bGULChGp9Wg1UjoNJLq7ggh6Bscprm9m7beQexCizYuCQxxjNoFR07UkyjuVKxey9r5yXz23CKytGNqH0YwxPDuu+9yzz338Pzzz0fcSjrFiJLDXEJ3dzcf+9jHGB0dRa/Xc8kll3D11Vf7LEayWq1qv4ckST4bw7yhyMbPRKm1P/UmIQQjNpdKIAph9I066B9z0DdqZ9jmYsTqYtTmYtQe2PxST0iATjt+LfsiIgUZcVoqClNYW5RGRUEyi7Lj0Wk0dHV10dnZGTQx7Ny5k69//ev83//9X8SzPHMAUXKYS/j3v//Nzp07+drXvsbQ0BD/93//x9NPP01zczMXXXQRV111lc98u6/GsOzs7AmFN21tbWpaLpKKU3ByUlSoY+884ZYFo/ZxshixORm2OKk9egyhiyE5NR2XLHDLMi5ZnPj/+JfLPS4mn2jUkRKrJzlWR7LHv7EambHhAXp7eyfI94+OjoZkMezdu5cvfelLPPfccyFlYk4DRMnhdMDo6CgvvvgiO3bsoL6+ngsuuICtW7dSWVk5iSgcDodKFC6Xi4yMDOx2O06nM+Ky8TCz6k1KsVl6enpEdSqVzEdraytjY2Pk5eWRk5MTcAXrwYMH+exnP8vTTz9NSUlJxPbliba2Nm677TZ6enqQJIm77rqLL3/5yzPyWn4QJYfTDVarlZdffpkdO3ZQVVXFeeedp2pSeN/5HA4HNTU1WCwWDAaDWicwnVBqoJhJ9Sa3201VVVXEUqHe6O7upr29nbKyMlWbYmRkZNrCtNraWj71qU+xY8cOFi1aFPF9Kejq6qKrq4uKigpGR0dZs2YNzz77LMuWLZux1/RClBxOZ9jtdl599VW2b9/O3r17Ofvss7n66qs555xzcLvd7N27l5ycHEpKStTGJ6UxTDGrQx08O5PqTQoxZGdnhzTYZzooxOAtAuNdmOYt319XV8cdd9zBk08+OZuHFICtW7fyhS98gYsuumi2XvLMJYeXX36ZL3/5y7jdbj71qU/x7W9/e8Lv7XY7t912G/v27SM9PZ2///3vFBUVhb7rUwyHw8Gbb77Jjh07eO+99wD46Ec/yr333jsp+Oh2uzGZTPT09GA2m4NvDDshALNq1aqIBzZdLpc68Wsmov89PT20tbVNqw7lKd//9ttv89hjj2EymXj00Uc5//zzI76vqdDS0sKmTZuora2NuCL3FDgzycHtdrNo0SJeffVV8vPzqaysZNu2bRPY/pFHHqG6uprf/va3PPnkkzzzzDP8/e9/j8D2Ty2Gh4e54oor2LhxI8PDw7zzzjusWrWKq666igsuuGDSXd67MSw1NVUdn+fLrFYyHsGItQYKl8vFgQMHKCgoCFsc1xcUodnVq1cHFZRtbm7mk5/8JGeffTYHDhxgy5YtfO1rX4v4/nzBbDZz3nnn8d3vfpePfexjs/KaJ3BmksMHH3zAfffdxyuvvALAAw88AMB3vvMd9TGXXHIJ9913H2eddRYul4ucnBz6+vpOe509p9PJnj17OPvss4Fxonz//fd56qmneOONN1i2bJmqSeEdJ5iuMUxRb5qJjIdSVVlYWEh2dnZE14bQiaG1tZUbbriBRx99lMrKcZl6Zc7JTMPpdHLFFVdwySWXzBoZeWBOHoSwr7qOjg4KCgrU7/Pz89m1a5ffx+h0OpKTkzGZTKd96ater1eJAcZH4m3atIlNmzYhyzJ79uxh+/bt/PjHP6a0tJStW7dyySWXkJiYiEajIT09nfT0dNX/7unpoaGhQR36E+zhCgTKUOPi4mIyMzMjujaMu0GhEENHRwc33XQTjzzyiEoMMHlq2kxACMGdd97J0qVLTwUxzFnMukzchwUajYb169ezfv16ZFnm4MGDbN++nV/+8pcUFBSwZcsWPvrRj5KSkoIkSaSmppKSkkJTUxPDw8MkJCSwb9++CY1h4cq8KcNyFyxYMCPE7DnMJhhi6O7u5oYbbuChhx7inHPOifi+psP777/PX//6V1auXMmqVasAuP/++/noRz8663uZSwibHObNm0dbW5v6fXt7+6Sot/KY/Px8XC4Xw8PDER/YOpeh0WioqKigoqKC+++/n9raWrZv386WLVvIzMxk69atXHbZZfztb3/jIx/5CBUVFaou5ujoKL29veP6mCdk6ZVBQMHAbrdz8ODBGRmWC8FPufJ83nXXXcdPf/rTWROB9cbGjRuZxr3+UCLsKp3KykoaGhpobm7G4XDw5JNPsmXLlgmP2bJlC3/5y1+AcXGOCy64YJK5+PLLL7N48WJKS0v58Y9/POl1HnzwQZYtW0ZZWRkXXnghx48fD3frpwSSJLFy5Up++MMfsmfPHh588EF6eno4++yzee6559i5cyd9fX2qr52UlERpaSnr169XZ23u27ePAwcO0NnZidPpuynLEzabjQMHDrBw4cIZIYa+vr6QiMFkMnHdddfxox/9iI985CMR31cU4SEiqcwXX3yRr3zlK7jdbj75yU/y3e9+l+9973usXbuWLVu2YLPZuPXWWzlw4ABpaWk8+eSTLFiwQH1+IBmPN998k/Xr1xMXF8f//u//8tZbb50RGQ+Ae+65B71ezy233MLTTz/Nc889h8FgYMuWLWzdupWcnJxJZOo5WlCn0/md3G2z2Th48OCMTNGGiQNzgyGGwcFBrrnmGu65555JN5MPIeZkQHJOFEEFkvHwxIEDB/jCF77A+++/Pxvbm3GYzeYJ5dDKUGFFk0IIoWpS5OfnTyIKf41hQgiqqqrmHDEMDw9zzTXX8PWvf51rrrkm4vs6DTEnyWFOjBv2lfHo6Ojw+/g//OEPXHbZZbOxtVmBd5+EJEnMnz+fr33ta7zzzjv84x//IC4ujs9+9rNceOGFPPjggzQ1Nal+cmxsLPPnz6eyslIdS19dXc0HH3xASkrKjMi09/f3h0QMo6Oj3HDDDXzpS1+KEsMcx5wgh2Dw+OOPs3fvXr7xjW+c6q3MCiRJIi8vjy9+8Yu88cYbPPfcc2RkZPD1r3+dzZs385Of/IT6+nqVKIxGI2lpaciyzKpVq0hISKCuro7du3fT3NzM2NhY2HtSZmIESwxjY2PceOONfOpTn+LGG28Mex+nAkIINm7cyEsvvaT+bPv27Vx66aWncFczBCHEVF+zgn//+9/i4osvVr+///77xf333z/pca+++qpYsmSJ6Onp8bnOSy+9JBYtWiRKSkrEAw884Pf1duzYIQCxZ8+e8Dd/CtHf3y8effRR8dGPflRUVFSI73znO+Lxxx8Xd911l+jp6RFjY2Pq19DQkGhoaBDvvfeeeOONN0R1dbXo7u4WZrN5wuOm+zp+/Lh48803xeDgYFDP6+/vFxdeeKF49NFHT/WfLWzU1NSIJUuWCKvVKkZHR0VpaalobGwMZ8npzuEp+ZoTMQeXy8WiRYt4/fXXmTdvHpWVlTzxxBMsX75cfcyBAwe49tprefnll1m4cOGkNQIJasK4WXv55ZfjcDh4+OGHWbt27Yy/v9nA0NAQDz/8ML/85S9ZtGgRGzdu5Oqrr/Y5NUqZGNbT04PVaiU9PZ3s7GwSExOnLDpS5oQE2+dhs9m4+eab2bp1K//xH/9x2lfGAnzzm98kPj6esbExEhMTuffee8NZbk7+QeZEEZROp+Phhx/mkksuUTMey5cvn5Dx+MY3voHZbOa6664DoLCwkH/+85/qGrt376a0tFTNgtx4440899xzk8jh3nvv5Vvf+hY/+9nPZu8NzgKSk5PZu3cvO3fuJCcnhxdeeIFf/vKX1NfXc+GFF7J161bWrl2LRqNBp9ORk5NDTk6O2kF6/PjxKRvDlM7Q1atXB0UMDoeD22+/ncsuu+yMIQaA73//+1RUVGAwGNi7d++p3s6MYE5YDpHAjh07ePnll3n00UcB+Otf/8quXbt4+OGH1cfs37+fH/3oRzz11FNs3ryZn//852eM5QC++xAsFgsvvfQSTz31FDU1NaomxYYNGyZVXPprDJNlmaampqCJwel0cscdd3DWWWdx9913zxgxfPKTn+T5558nKyuL2traGXkNX/je975HQkIC3/zmN8Ndak4y5mkXkAwVsizzta99jV/84heneiszBl+HLy4ujmuuuYYnnniCPXv2cMkll/D4449z1lln8ZWvfIW3334bl2tcS1KZerV8+XLWr19PZmYmx48fp6qqivj4eEZHR5FlOaC9uFwuPv3pT7NmzZoZJQaAT3ziE7z88ssztr4/aDSaiKt9zSXMCbciEpiujFuZZLV582ZgvJ5/y5Yt/POf/zyjrIepYDQaufLKK7nyyitxOBy88cYbPPXUU9x9992sX7+eq666ik2bNmEwGNBoNEiShMPhYOPGjWrR1dGjR0lMTCQ7O5u0tDSf/R5ut5vPfe5zLF26lHvuuWfGXYlNmzbR0tIyo6/xYcQZQw6eZdzz5s3jySef5IknnlB/n5ycTH9/v/q9P7diOuEagH/84x/cd999SJJEeXn5hNc5XWAwGLj00ku59NJLcblcvP322+zYsYN77rmH1atXU1paSkNDA7/5zW+IiYkhJiaGtLQ0hBCq1FtjY6M6u0JpDJNlmS9/+cvk5+erf6MoTlNMk844rfDCCy+IhQsXigULFoj//u//FkIIce+994rnnntu0mPPO++8SalMl8slFixYIJqamoTdbhdlZWXi0KFDEx5z9OhRsWrVKjEwMCCEEH7TqqcrXC6X+NWvfiWys7PF6tWrxQ033CC2bdsm+vr6JqUnzWaz6OrqElVVVeJf//qXuPTSS8UVV1whPve5zwm32z2r+25ubhbLly+f1deMIE552tLX1xljOcC4VJt3m+0Pf/hDn4996623Jv0skIzH73//ez7/+c+r8xnPoKlLwLgfffDgQQ4cOEB2dja7d+9m+/bt3H///SxcuJCrrrqKSy65RBXOTUpKIikpiaKiIvLy8jhy5Ajd3d3cfPPNbNu2LWo5nMY4o8ghXAQiXHP06FEAVVj2vvvuO6Oq4yRJ4o9//KP6/YYNG9iwYQOyLHPgwAG2b9/Ogw8+SGFhoapJkZiYyA9+8AM0Gg3vvvsuGo2G7u7uKDGc5oiSQ5BwuVw0NDTw1ltv0d7ezqZNm6ipqZmRxqa5BI1Gw5o1a1izZs0ETYorrrgCs9lMeXk527ZtU6P3M6FL6Q833XQTb731Fv39/eTn5/ODH/yAO++8c9Ze/0xFlBw8EIhwTX5+PuvXr0ev11NcXMyiRYtoaGiYIG12pkOj0VBWVkZZWRk//OEPefXVV9m4cWPYSlWhYtu2bafkdc90nLlJ2hAQiHDNVVddpcYr+vv7OXr06ARtCpheuKa1tZXzzz+f1atXU1ZWxosvvjhj72mmIUkSF198ccQH7UQxBzBNxPJDh+kyHrIsi69+9ati6dKlYsWKFWLbtm0Tnh9IxuPTn/60eOSRR4QQQhw6dEjMnz9/5t9YFHMZpzwz4esr6lZ4YbqMhyRJPPjggzz44IM+nx9IxkOSJEZGRoBx4ZO8vLxIv40ooggbUXKIMALJeNx3331cfPHF/OY3v2FsbIzXXntttrcZRRTTIhpzOAXYtm0bn/jEJ2hvb+fFF1/k1ltvDbhnIYooZgtRcogwAsl4/OEPf+D6668H4KyzzsJms00o7Y4iirmAKDlEGIFkPAoLC3n99dcBqKurw2azTZo+9clPfpKsrCxWrFjh83WEEHzpS1+itLSUsrIy9u/fPzNvKIoPL6aJWEYRAqbLeBw6dEicffbZoqysTJSXl4tXXnll0hpvv/222Ldvn99+gRdeeEFceumlQpZl8cEHH4h169bN3BuKYqZxyjMTvr7OGLGXMxEtLS1cccUVPgVMPvOZz7B582ZuuukmABYvXsxbb71Fbm7ubG8zivAxJ+vMP/RuRVtbG8XFxQwMDADjw1aKi4vnvD5AsHL+UUQRLD705FBQUMBnP/tZVbfh29/+NnfddRdFRUWndmMfEkxXTRrFqcOHnhwAvvrVr7Jz504eeugh3nvvPe6+++5TvaVpEUhWZK7D7Xbz+c9/npdeeonDhw+zbds2Dh8+fKq3FcUJRMkB0Ov1/OxnP+OrX/0qDz30UFCDWk4VtmzZwmOPPYYQgp07d5KcnOwz3jBd1uNvf/sbZWVlrFy5krPPPpuqqqqZ3roKz2pSg8GgVpNGMTcwXUDyQwNJkh4Crgd+JoT45SneDpIkbQM2AxlAD/B9QA8ghPitNC6W8DBwKWAB7hBCTNJIlyRpE2AGHhNCTGIISZLOBuqEEIOSJF0G3CeEWD8z72rSa18LXCqE+NSJ728F1gshvjAbrx/F1IiWTwOSJK0CLgI2AO9JkvSkEKLrVO5JCHHTNL8XwOcDWOcdSZKKpvj9vz2+3QnkB7rHKM5sfOjdihN34P8FviKEaAV+Bvz81O7qlOFO4KVpHxU5dAAFHt/nn/hZFHMAH3pyAD4NtAohXj3x/SPAUkmSzjuFe5p1SJJ0PuPk8K1ZfNk9wEJJkoolSTIANwL/nOY5UcwSojGHDwFOuBXP+4o5nPh9GfAMcJkQ4ugs7+2jwEOAFvijEOJHs/n6UfhHNObwIYckSYXA08Cts00MAEKIF4HTVwrrDEbUcjjDEUDW41HgGuD4iae4hBAfjhFgUUyJKDlEEUUUPhENSEYRRRQ+ESWHKKKIwiei5BBFFFH4RJQcoogiCp+IkkMUUUThE1FyiCKKKHwiSg5RRBGFT0TJIYooovCJ/w/2arm15Zq2sQAAAABJRU5ErkJggg==\n", 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8DjpcrL1W4RbcM7IdGcXVvPXnflqF+zOhj/PmA3YKIxFCeKGZyJdSyu/01nOUzRklbM0s5T+XdTn3XKxWK+xeCKvfgaxUzSDaXwidL4OkEeB/jukZq4vh8HI4+Cfs+x12/QBeAdDpUug7FeL7gpM3hxWnRwjB85d3I6eshsfmbyM2xJfB7SL1llUvQu+apULr/H0GFEsp7z/T8SkpKTI1NdXhugAembeVn7fnsP7J8wk8l0LgB/6EP56B3O0Q3hb63wY9JoFviH2FWi2Qvhp2fAs7vtNaMbE9oN9t0H0iGNS8F1emrMbEVdNXk1NWy/d3DnJsrO40CCE2SilT6tvnDKM2g4EpwEghxBbbbYzeosprTfy0LYfLerQ8exOpyIV5N8HsK7RuyeUz4O4NmpHY20RAC8q2GQKXvgUP7oZLXgezEX64E97pDRtnac8VLkmInxef3NgXH08PbvksldJq5/ssdTcSKeVKKaWQUnaXUva03X7RW9cPW7KpMVm4pt9ZBnd3fAfv9oM9P8OIJ+Gu9dDjau3H3hT4BGpdmzvXwLVzwT8SfrwP3ukD278FnVuginMjPsyfD6f0Ibu0lju/3ITJyTKs6W4kzoiUkjnrMugcG0z3+Aa2IEy18NMD8O1NENUB7lgNwx7Vb7hWCOhwEdz6F1w3H/xCYP5U+PgCyNygjyZFo+jTOpznr+jG6oNF/OfHnXrLOYFGG4kQ4hfbsK3bsD2rjF055VzTr1XDxu8r82HWJZD6CQy+D276FSKdJL+EEND+fJi2DMa9B6UZ8PH5WiulplRvdYqzZEKfeG4bmsTstRl8sSZNbznHsEeL5FPgdyHEk7bRF5dnzvpMfL08GNcr7swHF+yFmaMgbydc/SVc8H/OGdz0MECvyXDPJhh0D2z6HN7rBzu/V90dF+PR0cmMSo7m2R93sepAQ+YfOZ5GG4mUch7QGwgGUoUQDwshHjx6a7TCJqbGaOHHrdmM7d7yzNnh83bCpxdr3ZqbfoZOY5tGZGPwCYQL/6t1eQJbwLwbYd4N2nCywiUweAjenNSTtlEB3PnlJg4XVuktyW4xEiNQBfgAQSfdXIrFu/OorDNz5ZmKgeduh1ljweADNy+CuD5NI9BetOwFty6BUU9rgeEPBsOhZXqrUjSQIF8vPr6hLx4Cpn62gbIafRf42SNGMhrYAvgDvaWUz0gp/3P01tjzNzULNmcRG+JL/zanmShWuB8+uwy8/ODGnyDCRQtkGTxhyENwyx/gHQCfXwa//xssrrPqtDnTKtyf6ZP7kFlczd1fbdK1Vo49WiRPAldJKR+TUrpWEoWTKKysY9m+Asb1jDv1TNaKPG1+iIcBbvjRdU3keFr2gtuWQZ+bYPXbmklW5OmtStEA+idF8N/xXVmxv5D//bJbNx32iJEMkVI611jUOfLT1mwsVskVvU8RZDVWwVdXQVUhXPuNe5jIUbwD4NI34YqPtEWEHw6B9DV6q1I0gKv7JnDz4DZ8uiqNr9dn6KJBzSM5ju+3ZNM5NpgOLeoJ7UipDZnmbIMJn7peTKShdJ8It/6pGcusS2D9R3orUjSAJ8YkM6R9JE//sJMtmaVNfn1lJDYOFlSyNbOUy0815Lv+I9g+D0Y+qa3WdWdadIFpS6H9BfDLw/DLo2Ax661KcRo8DR68PakXUUE+3Dl7I0WVdU16fWUkNn7amoMQcFnPlv/cmbkBfnsCOoyG8x5qenF64BsCk76CAXfB+g9hziQt+ZLCaQkL8ObDKX0oqjJyTxMXKldGYuPXHTn0bR1Oi2DfE3fUVcJ3t0JwLFw+HTya0Z/MwwCjn4exb8DBv+CTi6AsS29VitPQNS6E/47vyuqDRbzy+94mu24z+lWcmkMFlezJrWB015h/7lz8byhJg/HTwS+sybU5BSk3w+RvoTRTM5PC/XorUpyGq1JacV3/BD5cdohft+c0yTWVkQC/7sgF+KeRHPhDWz8z8C5IHKyDMiei7Uht9q65VjOT7M16K1Kchqcv7UzPVqE8PG8rB/IdXydHGQlat6ZXQigtQ/3+3mis1lbzRnaAkf/WT5wzEdsDbv5Ny8Q261ItQ5vCKfHxNPDB5N74eRu47YuNVNY5Nlje7I0ko6iaHVnlXHxya2TFa9pK2UteBy/f+l/cHIloC1N/g5B4mH0l7PtNb0WKUxAb4sc71/TmcGEV/16ww6HXavZGsmin1oe8uGvs3xsL98Oqt6D7JC3zmOJEglvCTb9ow8RfXwd7f9VbkeIUDGwbwX2jOvD95izmbzzisOs0eyP5fWceXVoG0yr8uOzrix7TsrFf+Jx+wpwd/3CYsgBiusE3U7SFfwqn5O6R7ejXJpx//7CDQwWVDrlGszaS4iojmzJKGNWpxd8bDy7RgqxDH9WKUilOjV8oXL9Ai53Mvf7vEhkKp8LgIXhrUk+8PT249+vNDqne16yNZNm+fKwSRiXbDMNqhcVPaxXt+t2qrzhXwTcEpnynLfybdyPs0T3drqIeYkP8eOnK7uzIKufdv+w/fN+sjeSvPQVEBvrQLc6Wl3XHfMjdpo3SqNKYDcc3BCZ/BzHdNTNJW6W3IkU9XNQlhit6xfHe0oPsyCqz67mbrZGYLFaW7c1nRMcoLWWAxQxL/qf1+btO0Fue6+EbDNd9C2Gtten0Odv0VqSoh2cu7UJEgDcPzd1Kndlit/M2WyPZmF5Cea2ZUZ1s3Zod87WSmMMfb17T4O1JQITWMvEJ0oaGSzP1VqQ4iRB/L164oht78yp4968Ddjtvs/3FLNmTj5dBcF77KK1S3YpXIbqLVj9Xce6EttLMxFSjBWBNtXorUpzEqE4tGNezJTOWHyK/wj6fT7M1kj/35NO/TYRWRW/XD1px7qEPq9aIPYhO1hY4Zm+CddP1VqOohwfO74DJYuWj5Yfscr5m+avJKq3hQH4lwztGaQmLVr4BEe2h8zi9pbkPncZCm2GwfobW4lM4FYmRAYzvGccXa9MptEPukmZpJEdrgZzXPhIy1mgjNQPvarqyms0BUw1UF4HFCKJZfs2cnrtGtqPObJ9WSbP8hFfuLyQy0IeOLYK0prdvKHS/Wm9Zro+5Dg4t1TLRfzgM8nZo6RcaUq1Q0eS0jQpkSPsoluzNb/S5PO2gx6WwWiWrDhQypH0kouwI7P4JBt2tTYlXNBxjNZRnQdkRKNgDB/6EtJVgrgEPL0gYoJW6aH++3koVpyHQx2CXQovNzkj25lVQVGVkcLtI2PARIKGvmsV6AhYzVOZqJnH0dtQ0jt5qTqrMF9EOel+v5S1JPE+r6KdweuxVrVV3IxFCfAKMBfKllF0dfb2V+23xkaRgmDkbOo7RhizdFVMN1JRoJTlrSjQDOPb86OOSv/dVF2uxDXlSgNQnREsdEBKnZdAPif/7FtZG265wSezR89TdSIBZwLvA501xsZUHCmkbFUBs7jLtB9P7hqa47OmRUhvZsBjBatIq3ZlqtDo6xiowVh73uOIU2096XlummYK55tTX9fQFv3AthaR/uJbEyS9MW6wYHAchrTSDCI7TZq4q3Ipak4W9uRUE+TbeBnQ3EinlciFEYlNcq85sYd3hIq5OaQWb34egWK0pfjIrXmt89i9p1boIFqPtZjrp/qTHnEMb09NPqz/jHQDegX/fB7bQ1r/4hf1tEscbxtHHKi7UrPnPj7s4VFjFrJv6NvpcuhtJQxBCTAOmASQkJJzzebZmllFrsjK8pQV+WQyD79fq357M0RZBoxBg8AKvEDB4a48N3g187KW1Fk4wiJMfB6jhasU589O2bOasz+C2YUkM79j4dBkuYSRSyhnADICUlJRzDg9tSNMChP0rFmsthp7X1X/g8Me0m0LhhmQUVfP4/O30Sgjl4Qs72uWczWoeyYa0YtpFB+K/93uI7weR7fSWpFA0KSv2FzD543UIAW9P6oWXwT4W0GyMxGKVbEwrYUxMhTZRquuVektSKJqM/PJa7pmzmSkfr8fgIfjkxr4nphdtJLp3bYQQc4DhQKQQ4gjwjJTyY3tfZ29uBRV1ZkZ7rAaEWlejaBZYrJIv1qTx2u/7qLNYuf/89tw+rC2+XvaNr+luJFLKa5riOkfjI+3z/4DWg7QSnAqFG7PtSClPfr+D7VllDGkfyf+N60qbyACHXEt3I2kq1qcVMygoH6/ivTBAzWRVuCcWq2T5/gLmbshk0c5cogJ9eOeaXoztHotw4JqnZmEkUkpS04p5JngrFAnodJnekhQKu5JZXM3c1Ey+3XiEnLJawgO8mTY0ibtGtCPY18vh128WRpJVWkNeeR39fNdDfF8IanHmFykUTk6tycJvO3OZm5rJqgNFCAFD20fx77GdOb9TC7w9m24spVkYybYjZURRQmT5TkhRdXwVrs2u7HK+2ZDBgi3ZlNWYiA/z48ELOjChT/yJ9aubkGZhJFuPlHK+51btSYfR+opRKM4Sk8XKxvQSlu4tYOnefPbkVuDt6cHoLjFc3bcVA5MitEoIOtI8jCSzlPv9t4NvvFavVqFwcrJLa1i2TzOOVQeKqKwz4+khSEkM49lLOzO+Vxyh/t56yzyG2xuJxSrZl1VIL8MW6HCtytalcEqMZiupacUstZnHvjytRm9siC+X9ohlWIdoBreLIKgJAqfngtsbyaGCSjqaduMjaqD9BXrLUSiOkVlczbJ9BSzbV8DqA4VUGS14GQR9E8OZ0Cee4R2jaR8d6NBhW3vh9kay9UgZAz12IoUB0Xqw3nIUzRSLVbInt5zUtBJS00vYmFZMdplWUyYu1I/xveIY3jGaQW0jCPBxvZ+l6yk+S7YdKeVyw26tyHU9yXnMFitrDhWx/nAxWaU11JoshPl7kxwTRP+kCDq0CNJBtcLVqaozsyWz1GYcxWzOKKWyzgxATLAvfRLDuLV1GEPaR9E2KsAlWh2nw+2NZF9GDt3EAUTS/Sdst1glX61L57sla+hUtYFkj0y6edVSZ/DjoDmS79e35xnZjo6xoVw/sDUT+sTbbaWkwv3ILaslNb2Y1LQSNqaXsCunHItVIgR0bBHE+F4tSWkdTkpiGHGhfi5vHCfj1kZitUpC8lPxNFigzdBj2/MravnPrJ+4LP8D5hs24uElkT7BCP9wqKsEUyH3+0ClbwwLakfx/HcjeH/pAZ4Z24XzO6vJbM2dWpOFXTnlbMss1Vod6SUcKdESYfl6edCrVRh3Dm9Ln9Zh9EoII8TPOQOk9sStjSS9uJrecjsWDy8Mrfpr24qqmP3B87xm+hCDjzdi4EPQ4xpERNu/R3SqCuHQUgK3fMXkg18yMfgXPrReza2fV3Fpj3ieG9+1WXw5FFrXd39+JduOlLL1SBnbjpSyJ6cCs1XLrxUV5ENK6zBuGtyGlNZhdG4Z3Cxbrm5tJLtzyknx2EdtZHcCvPwoqKjjt+mP8KT5Syrjz8P36pn1rwIOiIRuE7Rb9ha8Fz/NPYenM67FJq7dfj3js8r46Po+tItW8RN3QkpJelE1W4+UsjVTM42d2eXUmLSM+kG+nnSPD+HWoUn0iA+lR6sQYoJ93a6bci64tZHszypklEjD0GYaFqtkwcf/Y5rpS4rbjiez75Ok/7IQc3EGVimRoa2J6DycAV3a4u993J+lZU+4/gfY9BkJi57gr5D/48bqh7ni/Tpm39Kf7vGher09RSOQUpJTVsv2LM0wth0pY9uRMspqTAD4eHrQpWUwV/dtRc9WoXSPDyExIkD3GaTOilsbSWX6FnyECRL6Mf/XX7i+5D1y/duz90gZgw4MoIc4rnZLAVj2CZYv6EN2t9sZO2Y8If627osQ0OdGaNUf79kTmG3+D7d5Pc3kmfDtHYPUyI6TI6XkSEkNO7PL2J5VxvascnZmlVFUZQTA4CHo0CKIi7vG0MNmGh1aBDXLLsq54tZGEli4CYCCoM70WH85PsJMTM1+YtgPJ/1jsSIo8oqhn2U3ATtuYeGur4i44jUGd036+6DoTnDLH3h8OprpNS9xuef/uO2Ljfx0z3kuOfbvjkgpySyuYXtWGTuyy9iRpd1KqrWWhsFD0D46kJHJ0XSNC6FrXAidY4Px81YZ+RuD2377y2tNJNXuosK/Bat+/ozx4shpj/dAEm3OIV+GUhA2gEtKl3Jg7mX8WDKLS4ek/H1gcCxcNx/DjOF8Hjmbnml38tGKQ9x/fgcHvyPFyRjNVg4WVLIvr4Jd2eU24yg/1j3xMmgtjYu6xNAlLoRucSEkxwTZPc2gwo2NZH9eBb08DlAW2IHxee82+HXRohRK17Kl1fV0PPIt5sU3szbqFwYkx/99UGQ7GPEEob89zi1J1zJ7bTr3jmyv+s8OwmqVZJXWsCe3gr255ezNq2RvbjmHCqqOjZ54GzxIjg1iTLdYutlMo0NMID6eyjSaArc1kiNHMukjCikrMf9jn/mJPDy9fY89r6sup+aVroTKsmPbemZ+zsF+z9Fl/b+ZseBV+v/rjROj890mwG+Pc37gYWYeCqOsxkRYgPOsxnRViquM7MktZ29uhXbLq2BfbgVVxr/jWfFhfiTHBHFB5xZ0aBFEckwwSVEBKqahI25rJDVHtPwjIdbSY9vSPJNIfGrzP960j38wPs9ksPP7l+my9X/Htu87sI/goE50L1tLUZWRyECfv19UrSWTzqoEf28D/j7qP19DMVusZJbUcKigksOFVRwsqOJQQSUHC6oorKw7dlyYvxcdY4K4KqUVHWOC6NAiiA4tAp12BWxzxm2NxJC/8x/bEp/afNrXdLn8UTjOSHxr8/E0l1Ero/A/PhhnroNFj2Hx8Oalw224on+cakKfhJSSoiojhwqqOFxYyaECm2EUVpJRVH2sSwKaYSRFBTK8YxTJNsNIjgkiKshHzdFwEdzWSELL957wXD5dfPJAzT/Y8eM7dD3ueb/qFQRQTVriXQw/Orckfw+W72/HkLOZx03TiI1vw+MXd7KrdlfBYpXklNVwpKSGzOLqY/cHC6s4XFBJee3f3UpvgweJkf50iNaCn0mRASRFBZIUGaC6hG6AWxqJxSrpWLfjWB3BQs8WRJ6m4HZ5aQHBb7Y7wUQAAqjm2+AbmDD5dsjaRO3qD/HeOZcq/HjE+ADhKVfwzaVd3HYUwGqVFFTWnWASR0pqyCypJrOkmpzS2hNaFkJAbLAvbaICGNczjjaRASRFBdA2KpCWoX4YVDDabXFLI8kuKifBo+DY88in9v3jGJOxlh3Tb6RX8a/8M7kApMlYMjtNZXSsL6YPhkHpDqzSh88sF7Ap8VbuuKgvPVuFOu5NOBirVet65JXXkldeS255LXnldeSV1ZJTXsuR4mqOlNZgNFtPeF1UkA/xYX70ahXGpd39aBXuT6swf+LD/GgZ6tekmcsVzoN7GknmIVod97zoha4EGgvwkbXHtnkBvU7x+jzPOAI8PRmy57+wB3ZbW/Gx1y2IHpMYNyCZm5x4jY2UkvJaMwUVdSeYRH55HbllRx/Xkl9Rd0JrArQWRWSgDzHBviTHBnF+5xa0CvMjPtyfVmF+xIX6q4lbinpxSyOpK8k64XlEXeZZvT7ElM8mYwd+DJ6G6HgxPXr04oH4UF2a5kazlZJqI0WVRkqqjRRXnXSrNlJs21dUZaSkyvgPgwAI8vGkRYgvLYJ9GNA2ghbBvsQE+9IiWNsWE+JLZKCPGkJVnBNuaSRmr8CzOj7TGsU+jyQKw3pBwgBaJveje2I0gxqZKsBilVTWmqmoM1FZZ6ai1kxlrZnyWu15Za1tW51t23HPy2pMlFQZqaj75zyYo4T6exHu7014gDetwv3pER9KeKA34f7eRAX5HDOJFsG+agq/wqG45berb7/BfLHuRoZV/EyUKMOEgSr8yJPhFHtFU+kbizG0PV6xXYho042kuBhGhvy9HHzF/gK+23SEOrOVWpOFOrOVOpOVOrOFWtt9ndl60n4LxuO21ZgsVB83iepUeAgI8vUi0MeTIF/tFhnoTVJUAOEBmimEBXgTEXDifaifF56q9aBwEoSU/2wGOzMpKSkyNTW1QcfmV9RSWm3Cx9MDf29PIgK8GzSN/f6vN7NgS/ax594GD3w8PfDx8sDH0/D3vae23dfL9tjLgK/tOF9Pg2YQNnMI8vG0PT7RNPy8DGquhMIlEEJslFKm1LvPGYxECDEaeAswADOllC+e6tizMZJzpazGhJQSH08D3p4eathSoeD0RqJ710YIYQDeAy4AjgAbhBALpZS79NKk0igqFGeHM3Sy+wEHpJSHpJRG4GtgnM6aFArFWeAMRhIHHD8+e8S27RhCiGlCiFQhRGpBQQEKhcK5cAYjOSNSyhlSyhQpZUpUVJTechQKxUk4g5FkwQkTUeNt2xQKhYug+6iNEMIT2AeMQjOQDcC1Usp/5gHQji8A0htw6kig0F46zxGlQWlwJw2tpZT1dgl0H7WRUpqFEHcDv6EN/35yKhOxHd+gvo0QIvVUQ1VNhdKgNDQXDbobCYCU8hfgF711KBSKc8MZYiQKhcLFcWcjmaG3AJSGoygNGm6rQfdgq0KhcH3cuUWiUCiaCGUkCoWi0bi0kQghRgsh9gohDgghHqtnv48Q4hvb/nVCiEQdNDwohNglhNgmhPhTCNG6qTUcd9yVQggphLD78F9DNAghJtr+FjuFEF81tQYhRIIQYokQYrPt8xjjAA2fCCHyhRA7TrFfCCHetmncJoTorYOG62zX3i6EWC2E6NHoi0opXfKGNufkIJAEeANbgc4nHXMnMN32eBLwjQ4aRgD+tsd36KHBdlwQsBxYC6To8HdoD2wGwmzPo3XQMAO4w/a4M5DmgO/lUKA3sOMU+8cAv6KVsR8ArNNBw6DjPoeL7aHBlVskDVk1PA74zPb4W2CUsG8WoTNqkFIukVJW256uRVsCYE8aunr6OeAloLaefU2h4VbgPSllCYCUMl8HDRKOFQ0IAbKxM1LK5UDxaQ4ZB3wuNdYCoUKI2KbUIKVcffRzwE7fSVc2kjOuGj7+GCmlGSgDIppYw/FMRftvZE8asnq6N9BKSvmzna/dYA1AB6CDEGKVEGKtLZlVU2t4FpgshDiCNgHyHjtraAhn+51xNHb5TjrFzNbmgBBiMpACDGvi63oArwM3NuV168ETrXszHO0/4HIhRDcpZWkTargGmCWlfE0IMRD4QgjRVUppPdML3REhxAg0Izmvsedy5RZJQ1YNHzvGtjgwBChqYg0IIc4HngQuk1LWnbzfwRqCgK7AUiFEGlq/fKGdA64N+TscARZKKU1SysNoCzXbN7GGqcBcACnlGsAXbRFbU+IUq92FEN2BmcA4KWXjfxP2DvQ01Q3tP9whoA1/B9e6nHTMXZwYbJ2rg4ZeaEHA9nr9HU46fin2D7Y25O8wGvjM9jgSrXkf0cQafgVutD3uhBYjEQ74TBI5daDzEk4Mtq530PfidBoSgAPAILtdzxFvoqluaBHwfbYf6pO2bf+H9p8ftP8482x/tPVAkg4a/gDygC2228Km1nDSsXY3kgb+HQRaF2sXsB2YpIOGzsAqm8lsAS50gIY5QA5gQmuFTQVuB24/7u/wnk3jdgd9FmfSMBMoOe47mdrYa6op8gqFotG4coxEoVA4CcpIFApFo1FGolAoGo0yEoVC0WiUkSgUikajjEThcIQQrYQQh4UQ4bbnYbbniTpLU9gJZSQKhyOlzAQ+AI4Wh38RmCGlTNNNlMKuqHkkiiZBCOEFbAQ+QVsJ3FNKadJXlcJeqEV7iiZBSmkSQjwCLEKbUapMxI1QXRtFU3Ix2tTtrnoLUdgXZSSKJkEI0RO4AG2h2gP2Tuaj0BdlJAqHY8tK9wFwv5QyA3gFeFVfVQp7ooxE0RTcCmRIKRfbnr8PdBJCNGmSJ4XjUKM2CoWi0agWiUKhaDTKSBQKRaNRRqJQKBqNMhKFQtFolJEoFIpGo4xEoVA0GmUkCoWi0SgjUSgUjUYZiUKhaDTKSBQKRaNRRqJQKBqNyyU2ioyMlImJiXrLUCiaHRs3biyUUkbVt8/ljCQxMZHU1FS9ZSgUzQ4hRPqp9jVZ10YI8YkQIl8IseO4ba8IIfYIIbYJIb4XQoQ2lR6FQmE/mjJGMgsYfdK2xUBXKWV3tCryjzehHoVCYSeazEiklMuB4pO2/S6lNNuergXim0qPQqGwH84UI7kZ+Ka+HUKIacA0gISEhKbUpFDYDbPFSnG1kcpaMxW1ZqrqzFglSLTkYr5eBgJ9PAny9SQiwAc/b4POihuOUxiJEOJJwAx8Wd9+KeUMYAZASkqKSummcFpMFiuHCqrYk1vOvrwKMotryC6tIaesltzyWizWhn99wwO8iQv1IzEygM6xwXRpGUz3+BBC/b0d+A7ODd2NRAhxIzAWGCVV3keFCyGlJL2omg1pxWxML2FLZikHCyoxWbSvsaeHoGWoHy1DfenfJpyWoX5EB/sQ7OtFoI8nAT6eeBrEsfPVmizHWisFlXUcKdFMaFN6CT9uzQZACOgeH8rQ9pGc36kF3eND0HJr64uuRiKEGA08CgyTUlbrqUWhaAjZpTUs21fAiv0FrD9cQmFlHQAhfl70bBXK8I7RJMcE0TEmiLZRgXh72icMWVptZFd2OevTilm+r4D3lhzgnb8O0DYqgCt6x3N131ZEBvrY5VrnQpMlfxZCzAGGA5FAHvAM2iiND1BkO2ytlPL2050nJSVFqnkkiqbCYpWsP1zMX3vyWLavgH15lQDEhvgyMCmCPolh9E0Mp11UIB4eTdcyKKs28euOHOZvOsKGtBJ8vTyY1DeB24YlERvi55BrCiE2SilT6t3nar0JZSQKR2OyWFl7qIhftueyeFcuhZVGvA0e9GsTzrAOUQzvGEW76ECn6FIAHMivZPqygyzYnIWHh+DuEe24bVgSPp72DdYqI1EozoCUkm1Hyvh24xF+3JZNabUJf28DI5OjGdMtlmEdogjw0T2keFoyi6t5adEeftqWQ1JUAK9e1YPeCWF2O78yEoXiFOSV1/L95iy+3XiEA/mV+Hh6cGGXGMZ218zD18t1hmCPsmxfAU9+v5288lqevrQLk/sn2KX1pIxEoTgOi1WydG8+s9ems2xfAVYJfVqHMaFPPJd0jyXY10tviY2mrNrE/d9sZsneAq7pl8B/x3fF0MgYzumMxLnbagqFHSmpMjI3NZPZ69LJLK4hOsiHO4a35cre8SRFBeotz66E+Hvx8Q19efX3vby/9CDVRjOvT+zZaDM5FcpIFG7PzuwyZq1KY+HWbOrMVvq3Ceex0Z24sEsLvAzum5LHw0Pw6OhkAn09eXnRXkL9vHj2si4OCRIrI1G4JVJK1hws4oNlB1mxvxB/bwMT+sQzZWBrkmOC9ZbXpNw5vB0lVUY+WnGYdi2CmDKgtd2voYxE4VZYrJJFO3KZvuwg27PKiAz04dHRHbmuf2tC/Fw/9nGuPH5xJ/blVfLcT7vokxBG55b2NVMVbFW4BSaLle83ZfHe0gOkF1XTJjKAaUOTuLxXnEuOvDiCoso6Rr+1gphgXxbcNfis4yUq2KpwW8wWK99vzuKdvw6QUVxN9/gQpk/uzQWdYxwWWHRVIgJ9+PfYztw7ZzNfrUtnysBEu51bGYnCJTFbrPywJZt3/tpPWlE1XeOC+fiGFEYmRzvNjFNn5NLuscxem87bfx3gqpRWdmutuW/IWuGWSKnFQC58czkPzduKv7cnH12fwo93n8eoTi2UiZwBIQQPXtCBgoo6vtmQabfzqhaJwmVITSvmhV/3sDG9hHbRgUyf3IeLuijzOFsGJEXQo1UoX6xN5/qBre3y91NGonB6DuRX8vKiPfy+K4/oIB9euKIbV/WJx9ON54A4muv6JfDo/G1syiihT+vwRp9P7yzy4UKIxUKI/bZ7+60wUrg8ZdUmnl24k4veXM7qg0U8fGEHlj4ynGv6JSgTaSQXd4vByyD4bWeeXc6ndxb5x4A/pZTtgT9tzxXNHItVMmd9BiNeW8rna9KY1LcVyx4Zzt0j2+PvrRrR9iDI14sBSRH8sds+RtJkn4qUcrkQIvGkzePQkh0BfAYsBf7VVJoUzsfG9BKeXbiT7Vll9EsM55nLOtOlZYjestySQW0jeWnRHoqrjIQHNC4PrN723kJKmWN7nAu00FOMQj/yK2p58dc9fLcpixbBPrw1qSeX9WipAqkOpHdCKABbMksYmdy4n57eRnIMKaUUQtQ7zVaVo3BfrFbJ1xsyeeHX3dSZrNw5vC13jWjn9EmE3IFOtmny+/MqXd5I8oQQsVLKHCFELJBf30GqHIV7ciC/gse/286GtBIGJIXz/OXd3G45vzMT7OtFmL8X6cWNz7uut5EsBG4AXrTd/6CvHEVTUGuy8P7Sg3yw9AABPp68MqE7E/rEq26MDsSF+ZFTWtPo8zSZkRyfRV4IcQQti/yLwFwhxFQgHZjYVHoU+rD+cDGPfbeNQwVVjO/ZkqfGdta1jEJzJ9jXi4pa85kPPANNOWpzzSl2jWoqDQr9qDFaePm3PcxanUZcqB+f3dyPYR2i9JbV7An08SSjyvW7NopmwMb0Yh6et43DhVVcP7A1j12crOaDOAn26k2qT1PhMGpNFt5YvI+PVhwiNsSPr27pz6B2kXrLUhyH2SLtkm5BGYnCIWzNLOWheVs5kF/JNf0SePKSTgSqIV2no9ZswccOZUXVJ6uwK2aLlbf/OsB7Sw4QHeTD5zf3Y6iKhTgthRVGEiL8G30eZSQKu5FeVMX932xhc0YpV/SO45lLuzTrPKmuQGFlHb1bN36trDISRaORUvLdpiye/mEHHh6Cd6/txdjuLfWWpTgDlXVmiqqMxIc1vui4MhJFoyirMfHUgh38uDWbfonhvDGpJ3Ghjf9iKhzPwfxKANraYTaxMhLFObP+cDEPfLOF3PJaHr6wA3cMb6cSLrsQ+21G0i5aGYlCB6xWyXtLDvDGH/toFe7Pt7cPpJcdq94rmoatmaUE+njSJjKg0edSRqI4Kwor63jgmy2s2F/IuJ4t+d/l3dSwrouSml5Cr4RQNY9E0bSsO1TEvV9vpqTaxAtXdGNS31ZqoZ2LUl5rYm9uOReMbG+X8ykjUZwRq1XywbKDvL54Hwnh/nx6Yz+7l3xUNC0r9hVilTCkvX1mGisjUZyW4iojD87dwtK9BYztHssLV3QjyFfNDXF1/tqTT4ifF71ahdrlfMpIFKdkU0YJd325iaJKI8+N78rk/gmqK+MGmC1Wlu7NZ1iHKLtl43eKnP5CiAeEEDuFEDuEEHOEEL56a2rufLUug6s/XIOnQfDdnYOYMsA+hZQU+rPqYBFFVUbGdIu12zl1NxIhRBxwL5AipewKGIBJ+qpqvtSaLDw2fxtPfL+dgW0j+fHu8+gap7K4uxMLNmcR7OvJiGT7rYFylq6NJ+AnhDAB/kC2znqaJdmlNdzx5Sa2ZpZy94h2PHBBBzXBzM2orDOzaEcu43vF4eNpnwLi4ARGIqXMEkK8CmQANcDvUsrfjz9GZZF3PGsPFXHXl5uoM1uZPrkPo7vG6C1J4QC+33SEGpOFq1Li7XpeZ+jahKEVymoDtAQChBCTjz9GSjlDSpkipUyJilJL0u2JlJJPVh7mupnrCPH3YsFdg5WJuClSSmatTqN7fIjdRmuOoruRAOcDh6WUBVJKE/AdMEhnTc2COrOFR7/dxv/9tItRydH8cNdgu6y7UDgnKw8UcrCgihsGJto9cK571watSzNACOGP1rUZBaTqK8n9Kaqs4/bZG9mQVsJ9o9pz36j2eKh4iFvz4bJDRAb6MLaH/UZrjqK7kUgp1wkhvgU2AWZgM7ZiWArHsDe3gqmfbaCgoo53runFpT1U7hB3Z2N6MSsPFPLkmE52DbIeRXcjAZBSPoNW50bhYP7ak8c9X20mwMeTubcNpIed+8oK5+StPw8QHuDNdQMcM1jhFEaicDxSSj5acYgXft1Dl5bBzLy+LzEhat5fcyA1rZjl+wr412jHlQFRRtIMMJqtPPn9duZtPMKYbjG8dlVP/Lzt37xVOB9SSv77826ig3y4YVBrh11HGYmbU1Zj4vYvNrLmUBH3jmrP/Sqo2qz4cVsOWzJLeWVCd4cWJVNG4sZkl9Zw46frOVRQxesTe3BFb/tOQlI4N7UmCy/ZurJXOvizV0bipuzKLuemWeuprrPw2c39GKwq3DU73vlrP1mlNbx6VQ+Ht0KVkbghK/YXcMfsTQT6eDLvjoEkx6gkRM2NvbkVfLjsEFf2jmdg2wiHX08ZiZsxLzWTx7/bTrvoQD69qS+xIao0RHPDapU89t02gv28ePKSTk1yTWUkboKUknf+OsDri/cxuF0EH0zuQ7DKZNYs+WxNGpszSnnj6h6EB3g3yTWVkbgBVqvk2R938vmadK7oFceLV3bH2w6FoetFSqgqhMJ92q08S3teVQDGKpBWEAJ8Q8A/AkJaQXRniOkGIXGO0aQ4xr68Cl78dQ8jk6MZ37Pp/t7KSFwco9nKw/O2snBrNrcOacMTYzrZd0GW2QhHNkDmOshcrz2uLvx7v/DQDMM/EnwCtefSCuXZUF2k3Y4SlQztL4CekyE62X4aFYC2CPO+r7cQ6OPJS1d2b9KMdspIXJhqo5k7Zm9imW3W4u3Dkuzz5anIg/2/w/7f4OBSMFZo2yPaQfsLtdZFVAeI7AjBLcHjNJPbassgf49mQAcWw9rpsPodaDMUhj8BrQc2Xq8CgNd/38funHI+viGFqCCfJr22MhIXpazaxM2fbWBzRgkvXNGNa/o1cg1FTSns+gG2zYX0VYCE4DjodiW0uwASBkLAOUT/fUMgob92G3S31g3a9DmsnwGfjoauE+CSV8FPVeprDEv25DNjxSGu7Z/AqE4tmvz6QkrZ5BdtDCkpKTI1tXlnGcgvr2XKx+s5XFjFW5N6cvG5JvGVEg4tgdRPYN9vYDFCRHvodhUkXwItumjxDkdgrIZVb8GKVyEwBq79BmK6OuZabk5GUTVj31lBfJg/3905CF8vxyx/EEJslFKm1LdPtUhcjPSiKiZ/vI6iSiOf3NiX886lwFFtGWyZAxtmQtF+LcbR9xbNQFr2cpx5HI+3P4x4HDpcBF9fB59eDFO+h/h6v6eKU1BrsnD77I0IIZg+uY/DTORMOIWRCCFCgZlAV0ACN0sp1+gqygnZk1vO5JnrsVitfHXrAHqebQqAynxY8y5s+BiMlRCXApfPgC7jwbNp+9THiOsNtyyGWWPhq4kwdTFEtNVHi4shpeTJ73ewO7ecT27sS0KEv25anMJIgLeARVLKCUIIb7RM8orj2H6kjCmfrMPX08DX0wbSLjqo4S8uzYTVb2uxCXMddL0CBt6t/YidgZB4mDwfPhoJ390KN/8OBmf5ajov05cdYv6mI9x/fntGdIzWVYvun5YQIgQYCtwIIKU0AkY9NTkbG9NLuPGT9YT4e/HVLQMa/p+nMh+WvQQbPwMkdJ8E5z0Ake0cqveciGgLY9+Ab2/SArED79RbkVPz87YcXlq0h0t7tOReOxUCbwwNmrUkhLjoNPuuaqSGNkAB8KkQYrMQYqYQIuCka0wTQqQKIVILCgoaeTnXYt2hIq7/eB0Rgd7MvW1gw0ykrgKWPA9v9YTUT6HXZLh3M4x/zzlN5Chdr4A2w2DFa1BXqbcap2VjegkPzN1Cn9ZhvDKhu1OkhWjo9MdfhBBLbFXxTubxRmrwBHoDH0gpewFVwGPHH9Bcy1Gs2F/ADZ+uJzbUj7m3DaRl6BnWzVjMsP4jzUCWvaRN/rprPVz6JoS6SD2g4Y9rE952fq+3EqckrbCKWz9PJTbElxlT9AuunkxDjWQb8BWwVggx4aR9jbXDI8ARKeU62/Nv0YylWfPn7jymfpZKYkQAX08bQHTwGdIipq+GGcPgl4chuhPc8hdM/My5WyD1kTBAm/i29Wu9lTgd2aU1XDdznVaL6Ma+RATqFCCvh4YaiZRSfoRWKuJfQohPbeUjQBtlOWeklLlAphCio23TKGBXY87p6izakcPtszeSHBPE19MGEHm6L0x5Dsy/RRs+rSmFiZ/DDT9CfJ8m02tXhIBOl0LmWm3tjgKAwso6Js9cR1mNic9v7k/bKOeqP3RWK7uklPuAgUAesFkI0d9OOu4BvhRCbAN6As/b6bwux8Kt2dz11Wa6x4cy+5b+hPqfYvWm1QJr3oN3U2DXQhj6KNy9ATqPa5p5II4kYRBYzZC1UW8lTkFZtYkpH68nu6yGT27sS7d45yvq3tBRm2PfTCmlGXhMCLEImAM0OmghpdwCNPuZSAu3ZnP/15vpmxjOJzf2JcDnFB9P3i5YeA9kpWprXy5+CcKTmlasI2nRWbsvOqCtyWnGVNSauHHWeg7mVzLzhhT6tQnXW1K9NNRI/nPyBinlUiFEH+A2+0pqnvy0LZsHvtlCSmI4n97Ut/5EveY6WPG6NqrhGwxXfgxdr3T9FsjJBMWCh6c2/6UZU1pt5IZP1rMzu5x3r+3N0A7OO9DQICORUi44xfYS4EV7CmqO/LI9h/u+3kKfhDA+vfEUJnJkI/xwFxTshm4TYfSL57aIzhXwMIBPULOOkRRV1jH5Y60lMn1yH87v3PQL8c4G3SekNXd+3Z7DPXM206tVKJ/eVE93xmLWFrYtexmCYuDaedDhQn3ENiXCA6RFbxW6kF9ey3Uz15FZUs3MG1KcuiVyFGUkOrJoRy73zNlMz1ahzLq53z9NpOggfDdNi4V0vxrGvKIty28OmI3g0fxSRWYWV3P9J+vJK69l1k39GJDkGq1OZSQ68fvOXO7+ahPd4kOYdVNfAo83ESlh02ew6HEweMGET7RYSHPBWK0lUwrUd/1IU7P9SBk3zdqAyWLli6n96NPaOQOr9aGMRAf+3J3HXV9tomtcCJ/d3I+g45M015bBD3fD7oXadPHxHzS/XKcVOdp9oHPHBezJkr353PXlJsL8vfl6Wv+zW5TpBCgjaWJW7i/kjtmb6BwbzOdT+52Y6T1nK8y9AUoz4ILntBW6Hg5K4uzM5O3U7ptJXtdvNmTwxPc7SI4J4tMb+555FrMTooykCUlNK+bWz1NJigrgs5uPMxEpYeOn8OtjEBAJN/2qpSZsruRsBWGA6C56K3EoVqvk9cX7eHfJAYZ2iOL963qf2MV1IVxTtQuyI6uMmz7dQGyIL19MPW7Gal0l/HQ/bJ8H7c7XEg2567BuQ8lYq6V59HK9/8wNpaLWxAPfbOGP3flM6tuK58Z3xcvguq1PZSRNwL68CqZ8vI5gPy9m39L/7wzfxYfh62uhYA+MfArOe6h5dmWOp7YMMtbAeffrrcRhHCqoZNoXG0krrOL/xnVhyoDWTVo6whEoI3Ew6UVVTJ65Di+DB1/d2v/vVACHlsK8G7VuzeTvoO0IPWU6Dwf/0uaPtHfPuTJL9+Zzz5zNeBk8+GJq/yapy9sUKCNxINmlNVz70TpMFitzbxtI64gAzTjWfQi/PQGRHeCar9xrnUxj2fqNNloT515Lr6xWyftLD/Da4n10iglmxvV9iA9zn4yiykgcREGFtuy7vMbEnGkDaN8iSFsr8/ODsHk2dLwErvhQmwqu0KjI1QpzDbrHrXK2FlTU8eDcLazYX8i4ni158Yru+Hk7R0Iie+EUn5YQwgCkAllSyrF662ks5bUmrv9kPTlltXwxtR9d40KguliLh2Ss0Zb8D39cxUNOZvNsrVvTa4reSuzGyv2F3P/NFirrTLx4RTeu7tvK5eMh9eEURgLcB+wGgvUW0lhqTRZu/SyVA/kVfHxDX1ISw6H4EMyeAGVHmt8s1YZiqtG6fEkjXC+rWz2YLVbe+nM/7y45QLuoQL68pT8dY9y39am7kQgh4oFLgP8BD+osp1FYrJL7v97CusPFvDWpp7bYKnMDzLlai43csFBLJaj4J5u+gKp8GPqp3koaTUZRNQ/N28KGtBImpsTz7GVd6l/R7UY4w7t7E3gUcGm7llLy1IIdLNqZy9NjOzOuZ5yWuey7W7X8GpPnq8JPp8JUq5XvTBgIrQfrreackVLy5boMnv9lNwYhePPqnozv1TyWN+hqJEKIsUC+lHKjEGL4aY6bBkwDSEhwzmzob/yxnznrM7hjeFtuPq+Nlgbxtychvi9cM0ebsaqonzXvQvkRGP++yyZpyi6t4V/zt7FifyFD2kfy0pXdz5z1343Qu0UyGLhMCDEG8AWChRCzpZSTjz9ISjkDmAFaEfGml3l6vliTxtt/7mdiSjyPXtgBfv+3Vtmu02VwxQzwaj5fqLOmPFvL+pY8FpKG6a3mrJFSMn9TFv/5cScWq+S/47tyXf8Etwyong5djURK+Ti2uji2FsnDJ5uIs/PL9hyeXriT8ztF8/y4Togf79FGH/reChe/rEZmzsTiZ8Bqggv/q7eSsyartIZnftjBH7vz6ZcYzqtX9dC1/q6e6N0icWnWHirifluKxHeu6ozn/Jtgz08w7F/a8G4z+6901uxdBNvnwpCHIbyN3moajMli5dNVh3lj8X4AnrqkEzcPbuMUFe/0wmmMREq5FFiqs4wGcyC/gmmfp5IQ4c/MScn4zZsEh5fD6JdgwO16y3N+qovhx3u1Fb7DHtVbTYPZmF7Ck99vZ09uBed3iubZy7q41QzVc8VpjMSVKKio48ZPN+DtaeCzq5MInXcF5GzTVu72uFpvea7BLw9DdRFc9y14Ok/FuFNRWm3kpUV7mbM+g5a2cpkXdonRW5bToIzkLKk2mpn62QaKKo3Mn5JE3IIJUJIGk76EjhfrLc812PQ57JgPI56C2O56qzktFqtkbmomr/62l9IaE7cOacP953c4dc2hZor6a5wFFqvk3jmb2ZFVxqwJrej827XaqMN130KbIXrLcw2yNsHPD0PScBji3PMPV+wv4H8/72ZPbgV9Wofx3LiudG7p8pOvHYIykgYipeT/ftzJH7vzeeXCSIauugEq87WJZq0H6i3PNagqhG+maEmdr/xEq1/jhOzPq+D5X3azZG8BrcL9eP+63lzcNabZDemeDcpIGsjHKw/z2Zp0Hurry1Xbp0FVEUz5Hlr101uaa2A2avlXqgpg6m9OmQWuqLKON/7Yx5z1mfh7G3hiTDI3DErEx9M5Dc+ZUEbSAH7dnsP/ftnN5I6SuzPug9pyuP4HiO+jtzTXwGqFBXdA2gq4/ENo2UtvRSdQXmvi05VpzFxxiGqThcn9E7jv/A6EB5yigLviHygjOQPbjpRy/zdbuKBlHc+V/BthrIQbfnC6H4PTIiX8/iTs+BbOfxZ6TNJb0TGq6szMWp3GjOWHKKsxcWHnFjw6Opl20YF6S3M5lJGchtyyWm79PJXkgCo+MP8fwlgB1y+Elj31luY6rHoL1r4P/e+AwffrrQaAGqOFz9ek8eHyQxRXGRmZHM0D53egW3wzqWLoAJSRnIIao4VpX6TiWVvM3PCXMVQXwZQFykTOhjXvwR/PaPlXLnpe95m+tSYLX67L4IOlBymsrGNohygeOL89vRLCdNXlDigjqQcpJY98u5X0rCxWtHgDn8pMbXSmVV+9pbkOK16HP/8DncdpcREd1xyVVZuYvS6dT1elUVhZx6C2EXwwuTd9E12nJKazo4ykHt7+8wBLth3ir6i3CS4/ANd8DYnn6S3LNZASlr4Iy16EblfB+Om65V89UlLNJyvT+HpDBtVGC0M7RHHHsLZuk7ndmVBGchI/b8vh/T928HP4O0RX7oaJn0H78/WW5RpYrfDns1pcpOdkuOxtXeaK7MwuY8byQ/y0LQcBXNajJbcOTaJTrJpM5iiUkRzHjqwyHp23kS+Cp9O2eiviihnQ6VK9ZbkG5jpYcKc2OtP3Frj4lSbtzlitkpUHCvloxSFW7C8kwNvATYMSufm8Ns0qwZBeKCOxkV9eyy2zNvCC96f0M67Vcol0n6i3LNegpgS+ngzpK7Uh3sH3N1lgtaTKyLcbj/DV+gwOF1YRFeTDv0Ync23/BEL8vM58AoVd0N1IhBCtgM+BFoAEZkgp32pKDUazldtnb+T6uq+4zOMPGPIQ9L+tKSW4Lnm7tDIb5Vlw5cfQbYLDLymlZHNmKbPXpvPTthyMZisprcO4b1R7Lu4Wo2ai6oDuRgKYgYeklJuEEEHARiHEYinlrqYS8J8fd9I5ax53es2HXpNh5L9Pe3xJlZGcslqsUhIT4ktEgHfzXIex6wf4/g7wCYQbfnR4hvyqOjM/bMlm9tp0duWUE+BtYGJKPJMHtCY5RsU/9ER3I5FS5gA5tscVQojdQBzQJEYyd0MmRRu+5QPvWdBhNIx96x/N8so6M7/vzGXZnlzSDu7BWl2CGQMZMpoq/GgbFcC0oUlMTHHP4kf/wGKCv57TgqrxfWHiFxAc65BLSSnZlFHCd5uyWLglm4o6M8kxQfx3fFfG94ojUC3ndwqc6lMQQiQCvYB1J213SBb5rZmlLPhhHp95vwfxKTDh0xOGKvflVfDNn+vw3rOAwXITLxn244sRbHl4JB4cCR/AK/I6/jW/ikMFVTw+ppPd9DklJekwfyoc2QB9boKLX3JIYqL0oiq+25TFgi1ZpBdV4+vlwcVdY5k8IIHeCWHNw7BdCCGlcyRlF0IEAsuA/0kpvzvVcSkpKTI1NbXR1yusrOOOt+Yy0/QYgeExGG5ZDP7aBKW9OeX8svBruh6Zw0iPzRiEpCa0I74dRyBadIGAKDDXQu522PgZ0lzHG63f450dnix7eIT7JgDeuQAW3gtIuPQt6HqFXU9fWm3kx205fL/pCJsyShECBrWN4PJe8YzuGqNaHzojhNgopay3urtTfDJCCC9gPvDl6UzEXpgsVh79YhkvG/9LgK8XhsnzwD+csmoT333/DV32vsMDHnuo8g3H1OdeDP1uxC886Z8n6nI5pExFvD+AW8QC3pYT2JhR7H5GUl0Mv/5LS9TcsrdWdtROyZprjBaW7cvnu01ZLNmbj8ki6dAikH+NTmZ8r5bEhqihW1dAdyMRWhv1Y2C3lPL1prjmSz9tZ1rO0yR4FmG49kcIT2LJhq3U/fI4N8lVlPtEkt3nGdKC+1BWUYl1Rx6JbcPp3DLkn03qkDhoPQjvQi2kY3C38hN7F2lJmquLYPgTWlYzQ+OGVctqTPy1J4/fduSxdF8+tSYrkYE+XD8wkct7xdGlZbDqurgYuhsJWpGsKcB2IcQW27YnpJS/OOJiP2w+QnLqUwww7IbxMymL6sNv0/+Pi3PeJ0jUUGyIJNMSRfs1LzJI1B173ZE/I3kz8i5uufUegnxP+iGVZ5Fv0Zae92ntJgvAKvO1SoHb52qZ3q+bB7E9zvl0+RW1LN6Vx6Iduaw5WITZKokO8uGqPq24qEsMA5LC8TS4mQk3I3Q3EinlSqBJ/v0cLKjk8PfPcb9hOZahj7Hbtzclr45honXDMQXhlkLCKTxB0c6Y8bSo2sM9hc8xY2F77px43GzXzA2Qu52v5fVc2LkFca4+i9JqgY2fwh//B+YarUbPkIfB8+yT/GQWV/PbzlwW7chlY0YJUkJihD9Th7Thoi4x9IwPbda1YNwJ3Y2kqag1Wfjq03f5t8fX1CRfwaraDgz8ciBdj2t1nIpOOT+w8+J5RC6agG/GcsBmJLVlWBbcSYlHBPMto5h3SWfHvglHk7URfnlEu28zFC55HSLbN/jlVXVm1h4qYsX+QpbvL+BQQRUAnWODuX9UB0Z3jaFDi0DVbXFDmo2RvD/vZx6oeoOyiO6sKItj7J6bG9wO8hASy7qPAPAMttUyqSnFOPtqPIoOcr/5cV6YPNB1g6ylmfDn/2ndmIBouGKmNkP1DD94q1WyK6ecZfsKWLG/gI3pJZgsEl8vDwYkRXBd/9Zc0KmF6/5dFA2mWRjJT+v3Mm7Po3h4eZNWCWOL3/nHMZtaXkvPm9/Bw1P7k0irBfF/f+er6FnyGzkynN4XXAs526iecyNe5ek8ar2b66+ZwsjkFk32fuxGXQWsfBPWvKst/x/ykLZOxvfUs0Tzymu1Fse+AlYeKKS4yghAp9hgbj6vDUPbR9GndRi+XmqaenPC7Y3kYH45vj/fRVuPHLBAV8u2E/ZnXzaHlr3H0Puk1x1vIgB10pPtPZ5iwM73saS+R6UM4kW/Z7jtxpvoGBPk4HdhZ4zVsOEjbWZqdRF0mwijnobQVv84NLO4mvWHi1l3uIj1h4tJK6oGIDLQm2EdohjaIZLB7SKJDvJt6nehcCLc2khMFivLPv03N4sN/9iXHj6Y1vf+QsuTth/Zv434L/9Z7CorsCuDdzxDgLWCH6znkT/oWZ4f1du1/vOaaiD1U1j5BlTlQ9tRMPJJiNOy4ZssVvbkVLApo4RNGSWkppWQVVoDQIifF30Tw7muf2sGtYugU0ywCpQqjuHWRrJg8VKuq579j1hI1T27aB0Rd+y51Wxm5xuX0q1qNfGnOFdS1RaWyd4c6Hofl1w4mpgQF/oPXFsGGz/TkjBX5ECbocjhn5Md0pPtR8rYsm0PmzJK2HaklFqTFYAWwT70aR3GtKFJ9GsTTscWQco4FKfEbY1ESolh/fv4CPMJ2y1SEPDOiaMrHkC3U5wnV4axOvBCRJ/rGTWoP8NOnkPizJRmwrrpyI2fIYwVFEf1Z3HC0/xa2Y7tn5dRVPUXAF4GQeeWIVzTT1vH0rt1GC1DfNXoiqLBuLGRgLCa/7HdIM68tminTOJw1HC8ky+mW8pgrggNcIREh1BYWUfWztUEbp5OYu5iQPKrHMQHxovZmdkGQ5agfXQtozpF0y0uhG7xoSTHBLlWF03hdLitkXh4CBImvsrin55haNWif7RMjpIrw9geej4esV0ISupHm4696BLiT5cm1nu2lNea2J9Xwd7cSvblVbAvp4zovGVcbVrIQMMuKqQfX4oxrIu+isi4tlwbE0RyTDCdY4Px81amobAvTrP6t6Gcy+pfKSV1Ziu1JgteBg/8vAwu0d8vrzWRXlhNWlEV6UVVHC6sJr2oirSiagortYl03piY5L2KaV6/Em/JpNKnBQVdbiZo0FQiIiJV90RhN5x+9a+jEULg62Vwuua7lJLCSiNZpTWaQRwziirSi6opss3ROEpMsC+tI/wZlRxNUrg3w6t+pe3eGXhWZkNUdxj0DIFdxhPYyEV1CsXZ0iyMRC+MZis5ZTVkldaQVVJDdmktWaXVZJUefVyD0Ww94TUtQ3xpHRHAhV1a0DoigMSIABIj/UkI98ff2/ZxHUmFhbdD/k6I7wfj39GGclXrQ6ETykjOAatVUlRlJL+ilvzyOvIrasmz3eeX15FXUUdOaQ0FlXWc3HOMDvKhZagfnVsGc4FtkV/LUD9aR2hmccZW0/Zv4fvbtKnsV38JyZcoA1HojjISG1arpKzGRHG1kZIqI8VVRoqqjOSV15JfUUf+sfs6CirrsFj/GVsK9feiRZAv0cE+dOgQRVyYZhLxNrOIDfVtXIbznK0w/xZoPQgmfQV+oed+LoXCjjiFkQghRgNvAQZgppTyxcaes9ZkoaBC+9EfNYaSaiPFVSbtuc0wSqqNlFSbKK02Uo83ABAe4E10kA/Rwb50aBFEi2AfooN8aRHsQ1SQL9FBPkQF+Tg+BrP2A/AJViaicDp0NxIhhAF4D7gAOAJsEEIsbEw5is9Wp/HMwp317vMyCML8vQkP8CbM35vkmGDCArwI9/cm9Oj2AG/C/b0JD/QmKtAHb08nSbhTW66th1EmonAydDcSoB9wQEp5CEAI8TUwjkaUo+idEMYjF3UkKtCHyCBvwgN8CPf3JizAi0AfT9cdEu02QZvurlA4Gc5gJHFA5nHPjwD9jz/gbMtRdIsPoVt8iB0lOgl2ztquUNgLJ2mznx4p5QwpZYqUMiUqKkpvOQqF4iScwUiygOMTYcTbtikUChfBGYxkA9BeCNFGCOENTAIW6qxJoVCcBbrHSKSUZiHE3cBvaMO/n0gp6x9yUSgUTonLLdoTQhQA6cdtigQKdZKjB+r9ui/O/l5bSynrDVK6nJGcjBAi9VQrEt0R9X7dF1d+r84QI1EoFC6OMhKFQtFo3MFIZugtoIlR79d9cdn36vIxEoVCoT/u0CJRKBQ6o4xEoVA0Gpc2EiHEaCHEXiHEASHEY3rrcSRCiE+EEPlCiB16a3E0QohWQoglQohdQoidQoj79NbkSIQQvkKI9UKIrbb3+x+9NZ0tLhsjseUx2cdxeUyAaxqTx8SZEUIMBSqBz6WUXfXW40iEELFArJRykxAiCNgIjHfjz1YAAVLKSiGEF7ASuE9KuVZnaQ3GlVskx/KYSCmNwNE8Jm6JlHI5UKy3jqZASpkjpdxke1wB7EZLN+GWSI1K21Mv282l/sO7spHUl8fEbb9szRUhRCLQC1insxSHIoQwCCG2APnAYimlS71fVzYShZsjhAgE5gP3SynL9dbjSKSUFillT7Q0Gv2EEC7VfXVlI1F5TNwYW6xgPvCllPI7vfU0FVLKUmAJMFpnKWeFKxuJymPiptiCjx8Du6WUr+utx9EIIaKEEKG2x35oAwh7dBV1lriskUgpzcDRPCa7gbnunMdECDEHWAN0FEIcEUJM1VuTAxkMTAFGCiG22G5j9BblQGKBJUKIbWj/IBdLKX/SWdNZ4bLDvwqFwnlw2RaJQqFwHpSRKBSKRqOMRKFQNBplJAqFotEoI1EoFI1GGYnC4QiNlUKIi4/bdpUQYpGeuhT2Qw3/KpoE25TveWjrZjyBzcBoKeVBXYUp7IIyEkWTIYR4GagCAoAKKeVzOktS2AllJIomQwgRAGwCjECKlLJOZ0kKO6F7yU5F80FKWSWE+AaoVCbiXqhgq6KpsdpuCjdCGYlCoWg0ykgUCkWjUcFWhULRaFSLRKFQNBplJAqFotEoI1EoFI1GGYlCoWg0ykgUCkWjUUaiUCgajTIShULRaJSRKBSKRqOMRKFQNBplJAqFotEoI1EoFI3G5fKRREZGysTERL1lKBTNjo0bNxZKKaPq2+dyRpKYmEhqaqreMhSKZocQIv1U+1TXRqFQNBplJAqFotEoI1EoFI1GGYlCoWg0LhdstRc7ssp4aO5WymtNdGkZwgtXdCMqyEdvWQqFS+KwFokQ4hMhRL4QYscp9l8nhNgmhNguhFgthOjhKC0nU200c++czZRUGxnYNoIV+wsY+84KNmeUNJUEhcKtcGTXZhYw+jT7DwPDpJTdgOeAGQ7UcgKv/raPw0VVvDWpF69P7Ml3dw7C29ODaz9ax7J9BU0lQ6FwGxxmJFLK5UDxafavllIebQKsBeIdpeV4LFbJD1uyGNu9JQPbRgDQpWUI8+8YRGJkALd8toEft2Y3hRSFwm1wlmDrVODXU+0UQkwTQqQKIVILChrXYth6pJSiKiPnd4o+YXt0kC9fTxtAz1ah3Pv1Zr5Ye8q5NwqF4iR0NxIhxAg0I/nXqY6RUs6QUqZIKVOiouqdodtgluzJx0PAsA7/PE+Inxef39yfER2j+feCHbzz535UuQ6F4szoaiRCiO7ATGCclLKoKa751558+rQOI9Tfu979ft4GPpzSh8t7xfHa4n0899NurFZlJgrF6dBt+FcIkQB8B0yRUu5rimuW15rYmV3Ogxd0OO1xXgYPXruqByF+Xnyy6jD5FbW8elUPfL0MTSFToXA5HGYkQog5wHAgUghxBHgG8AKQUk4HngYigPeFEABmKWWKo/QA7M+rBKBzbPAZj/XwEDxzaWdaBPvy8m97yCyu5qPrU4gO9nWkRIXCJXGYkUgprznD/luAWxx1/frYl1cBQIcWQQ06XgjBHcPbkhQVwAPfbOGyd1cx84YUusaFOFKmQuFy6B5sbUr25VXg52UgPszvrF53UZcY5t0+EA8BV01fw6IdOQ5SqFC4Js3KSPbnVdK+RSAeHuKsX9ulZQgL7h5Mx5ggbp+9ied/2Y3JYnWASoXC9WhWRrIvr4L20Q3r1tTH0bkmUwa0ZsbyQ1w1fQ1HSqrtqFChcE2ajZGUVhvJr6ijY0xgo87j62XgufFdef+63hzMr2TMWyv4bWeunVQqFK5JszGStCKt5dAmsnFGcpQx3WL5+d4hJEYGcNsXG3l24U5qTRa7nFuhcDWajZHklNYA0DLUfsO3CRH+zLt9IDcPbsOs1WmMeVutIFY0T5qNkWSX1QLQMuTsRmzOhI+ngacv7cyXt/SnzmTlyg9W8/KiPdSZVetE0XxoPkZSWoOfl4FQfy+HnH9wu0gW3T+Eq/q04v2lBxn37ip2ZJU55FoKhbPRbIwkp6yG2FBfbLNoHUKQrxcvTejOJzemUFRlZPx7q3jx1z3UGFXrROHeNBsjyS6ttXu35lSMTG7B4geGMr5XHNOXHeSiN5ezXCVMUrgxzcZIcspqiA1punUyof7evHpVD+bcOgBPD8H1n6znvq83U1BR12QaFIqmolkYicliJb+ijtjQpmmRHM/AthH8ct8Q7hvVnl+353L+68v4cl06FpWaQOFGNAsjyS2rRUpo2YQtkuPx9TLwwAUd+OW+ISTHBPHk9zu47N2VpKadMhOlQuFS6JlFXggh3hZCHLBlk+/tKC0FlVp3ooXOKQDaRQfy9bQBvHNNL4qrjEyYvoYHvtlCXnmtrroUisaiZxb5i4H2tts04ANHCSmqNAIQEVh/VrSmRAjBpT1a8udDw7h7RDt+3pbDiFeX8sHSg2ruicJl0S2LPDAO+FxqrAVChRCxjtBSZGuRRAQ6TwEsf29PHr6oI4sfHMrgdpG8tGgPo15bxsKt2SpPrMLl0DNGEgdkHvf8iG3bP2hsFvmiKluLJED/FsnJtI4I4KPrU5g9tT9Bvl7cO2cz499fzfrDKn6icB1cItja2CzyhZV1BPp4OnXO1fPaR/LTPefx6lU9yCurZeKHa5j2eSqHCir1lqZQnBE9jSQLaHXc83jbNrtTVGl0ivjImTB4CCb0iWfJw8N5+MIOrDpQyAVvLOfx77aRbVt0qFA4I3oayULgetvozQCgTErpkByGRVV1TtmtORV+3gbuHtmepY+MYMqA1szfmMXwV5bynx93qgltCqdEzyzyvwBjgANANXCTo7QUVRppFe7vqNM7jKggH569rAu3Dk3i7T/28/madL5en8lNgxO5bWhbQhy0AFGhOFv0zCIvgbscdf3jKaw00ishtCku5RDiQv14aUJ3bhuWxJt/7Of9pQf5Ym06tw1N4qbBbQjw0a08kUIBuEiwtTFYrZKSaiPhLtS1ORVJUYG8fU0vfr1vCP3bRPDq7/sY+vISZq44pFYYK3TF7Y2kotaMxSoJO0WJTlekU2wwM29I4fs7B9EpNpj//rybIS//xfRlB6mqM+stT9EMcXsjKasxAZyy1q8r0yshjNm39Gfe7QPpFBvMi7/uYfBLf/HOn/sprzXpLU/RjHB7Iymt0Sajhfi5b2Cyb2I4X0ztz4K7BtMnIYzXFu9j8It/8frifZRWG/WWp2gGuL+RVB9tkbivkRylZ6tQPr6xLz/dcx6D20by9p/7GfziX7y0aA+FlWrYWOE43D7cf7Rr484tkpPpGhfC9Cl92JNbzrt/HWD6soN8uuowk/omMPW8Ni45FK5wbtzeSEqPxkiakZEcJTkmmHev7c39+ZVMX3aQL9el88XadC7pFsttw5Lo0lIVQ1fYB7c3knKbkQQ3QyM5SrvoQF69qgcPXdiBT1el8dW6DBZuzWZI+0huH9aWQW0jHJoUW+H+NIMYiRFfLw+nXrDXVMSG+PHEmE6semwkj47uyO6cCq6buY5L313Jj1uzMaui6IpzxO2NpKzG1KziIw0hxM+LO4e3Y+W/RvDiFd2orrNwz5zNjHxtGV+sSVOT2xRnjdsbSWm1iVA/95tDYg98vQxM6pfA4geHMX1yH8IDvPn3DzsZ/NJfvPXHfoqr1NCxomG4fYxEtUjOjMFDMLprDBd1acGGtBI+XHaQN/7Yx/tLD3BF7zhuGtyGDi2C9JapcGKahZGo4c6GIYSgX5tw+rUJZ39eBZ+sSuO7TUeYsz6TIe0jmXpeG4a2j8LDQwVmFSfi0K6NEGK0EGKvLVP8Y/XsTxBCLBFCbLZlkh9jbw2qRXJutG8RxAtXdGPN46N4+MIO7M2t4MZPN3DBG1pdHhVHURyPI8tRGID30LLFdwauEUJ0Pumwp4C5UspewCTgfXvr0GIkykjOlfAAb+4e2Z6V/xrJG1f3wM/bwJPf72Dgi3/y8qI95JapUhoKx3Zt+gEHpJSHAIQQX6Nljt913DESCLY9DgGy7SmgzmyhxmRRLRI74O3pweW94hnfM44NaSV8vPIQHyw7yIzlh7ikeyw3D25Dj1ahestU6IQjjaS+LPH9TzrmWeB3IcQ9QABwfn0nEkJMQ6t9Q0JCQoMF/L3yVxmJvTg+jpJRVM2s1WnMTc3khy3Z9E4I5YZBiVzcNRZvT7cfEFQch96f9jXALCllPFraxS+EEP/QdK5Z5NWsVseSEOHP05d2Zs3jI3l6bGeKq4zc9/UWBtlWHqsKgs0HR7ZIGpIlfiq2anxSyjVCCF8gEsi3h4C/V/6qeSSOJMjXi5vPa8ONgxJZvr+Az9ek885f+3l/yQEu6hrDjYMSSWkdpqbhuzGONJINQHshRBs0A5kEXHvSMRnAKGCWEKIT4AucfQWsU9AcV/7qiYeHYHjHaIZ3jCa9qIov1qQzNzWTn7fl0Ck2mBsGtmZczzj8vNVyBXfDkSU7zcDdwG/AbrTRmZ1CiP8TQlxmO+wh4FYhxFZgDnCjtGO9SmUk+tE6IoCnxnZm7ROjeOGKbkgpeey77Qx44U+e/2U3GUXVektU2BGHTkiTUv6CVnbi+G1PH/d4FzDYUdevtOUvDVRZ1nXD39uTa/olMKlvKzaklfDZmjQ+XnmYj1YcYlRyNNcPTOS8dpFqkpuL49a/sKo6bdKUMhL9OX60J7eslq/WpfPV+gz+2L2epMgArhvQmgm941WtHhdF71Ebh1JtNCME+Hq59dt0OWJCfHnwwo6semwkb03qSai/F8/9tIv+L/zBI/O2sjWzVG+JirPErf9VV9VZCPD2VKMFToqPp4FxPeMY1zOOXdnlzF6XzoLNWczbeIRucSFMHpDAZT1UcNYVcOt/1dVGM/7qS+gSdG4ZzPOXd2PdE6N4blwXjGYr/5q/nX7P/8GzC3dyIL9Cb4mK0+DWLZLKOrMqZ+liBPl6MWVgIpMHtCY1vYQv1qTz5bp0Zq1OY0BSOJMHtObCzjFq5qyT4da/smqjhQAf1SJxRYQQ9E0Mp29iOIWVnZmbmslX6zK4+6vNRAX5MKlvK67pl0DLUD+9pSpwcyOpqjPj7+3Wb7FZEBnow53D23Hb0LYs31fA7LXpvLvkAO8tOcDI5BZMHpCg8qTojFv/yqqNFiID1fR4d8HgIRiRHM2I5GiOlFQzZ30G32zI5I/deSSE+3Nt/wQmprRyi4LxroZbdzSrjGb8VYzELYkP8+eRi5JZ/dgo3r6mFzEhvrz46x4GPP8n93+9mdS0Yuw4SVpxBtz6V1ZdZyFAjdq4Nd6eHlzWoyWX9WjJvrwKvlybznebsliwJZvkmCCuG9Cay3vFqUmJDsa9WyQqRtKs6NAiiP+M63psfY/BQ/DvBTvo/78/eGrBdvbmqiFkR+G2vzIpJVVGs/pP1AwJ8Pl7fc+WzFK+WJvO3NQjzF6bQb/EcKYMbM1FXdQQsj3RNfmz7ZiJQohdQoidQoiv7HXtOrMVqwR/NfzbbBFC0CshjNcn9mTd46N4YkwyueW13DNnM4Ne/IvXft9LdmmN3jLdglP+uxZCJEgpM06xb4iUcsXpTnxc8ucL0NIsbhBCLLSt+D16THvgcWCwlLJECBF9Lm+iPqpsK38DVNdGAYQFeDNtaFtuOS+JZfsLmL3m7yHkCzq3YMqARAa1jVBDyOfI6X5lS4UQ04HXpJQWACFEC+A1IBlIOcO5G5L8+VbgPSllCYCU0i6Z0UAb+gUaNkX+aHRfrclxezw8BCM6RjOiYzSZxdV8ZRtC/m1nnlqF3AhO17XpA7QFtgghRgoh7gPWA2vQTOJM1Jf8Oe6kYzoAHYQQq4QQa4UQo+s7kRBimhAiVQiRWlDQsARqVUZbi+R0MZKaUvjrv/BSa3izGyy8F3J3NOj8CtenVbg//xqdzJrHR/Lm1SeuQn5s/jZ2ZJXpLdFlOOWvzNZKuM1mIH+glYoYIKU8YufrtweGo+V0XS6E6CalLD1JywxgBkBKSkqDJgcc69qczki+vx32LYLkS7TWyPZvYdNnkDwWhj0KsT3O/h0pXA4fTwPje8UxvlccO7LK+HJdOgs2Z/P1hkx6JYQyZUBrxnSLxddLxdtOxSlbJEKIUCHEh8BNaAmavwV+FUKMbOC5G5L8+QiwUEppklIeBvahGUujOZrU6JTzSAoPwL5fYdi/YNKXcPVseGAHDHsMDq+AD4fCV5Mge7M95ChchK5xIbxwRXfWPjGKZy7tTFmNiQfnbmXQi3/x4q97yCxWKSLr43Rdm03AfiBFSvm7lPJ+YArwXyHEnAac+1jyZyGEN1ry54UnHbMArTWCECISratz6GzewKk4GiM55X+R9TPAwwv6Tv17m384jHgcHtgOI56CjDUwYzjMuQZyttpDlsJFCPHz4qbBbfjzwWF8eUt/+iWG89GKQwx9ZQlTZ21g5f5CNXP2OE4XbB16cjdGSrkFGCSEuPVMJ5ZSmoUQR5M/G4BPjiZ/BlKllAtt+y4UQuwCLMAjUsqic3wvJ2C0WIFTGEltGWz5ErpeCYH1DBT5hsCwR6D/NFg3A9a8o7VQksdqLZjY7vaQqHABhBAMbhfJ4HaR5JTVMGddBl+tz2Dyx+vo0CKQGwe14fJeKvmScDVXTUlJkampqWc8bl5qJo98u40Vj46gVbj/iTt3zIdvb4api6FVA+LGtWWwdjqseQ/qyjRDGf4YxHQ7x3ehcGXqzBZ+3JrDp6sOszO7nBA/Lyb1a8X1AxOJc+O0BkKIjVLKekdr3XaSRZ1Za5H41Dd7MXszGHygZa+Gncw3BIb/C/rfBuumw5r3Yc9P0O4COO9+aD1YDR03I3w8DUzoE8+VvbU6yJ+uOsxHyw8xc8VhLurSgpsGt2l2BcHc1kiMNiOpdxp09haI6QqGs5wr4BeqtUT63w4bPtJaKbMugbgUGHyf1lLxUNOumwvHZ8Y/UlLNF2vSmbM+g1+259I1LpibBrVhbI9YfDzdv9vjtt/6v1skJ32IVqtmJA1tjdSHXygMfUQb5bnkNaguhLlT4L2+sPEzMNed+7kVLkl8mD+Pj+nE2idG8b/Lu1JrsvLQvK0MfnEJb/6xj6JK9/5OuK2RnLJFUnwIjBUQ27PxF/Hyg763wD2bYMKn4B0AP94Lb3aH5a9AVWHjr6FwKfy9Pbmuf2sWPzCUL6b2o3t8CG/+sZ9BL/7FUwu2k1ZYpbdEh+C2XZs6swVPD4Hh5LUTR+eFNKZFcjIeBuh6BXS5HA4thdVvazNml70C3a+C/ndoXSlFs0EIwZD2UQxpH8WB/Ao+Wn6YuRuO8OW6DEZ3iWHa0CR6JYTpLdNuuK2RGM3W+gOtOVvA0xeiku1/USGg7Qjtlr8H1n8IW7+GzbMhcYgWW+l4sWY8imZDu+ggXprQnYcu7MCs1WnMXpvOrzty6ZcYzrShSYxMjnb5xYJu27WpM1tPEWjdrA3bGhzsodHJMPYNeHAXXPB/UJIG31wHb/eE1e9o63wUzYroYF8eHZ3M6sdH8e+xnckqreGWz1O58M3lzE3NxGSb++SKuLGRWP4ZaJUScrc37RoavzBtROfeLTDxcwiOh9+fgtc7w08PqEWCzZBAH0+mnteGpY8M561JPfE2ePDot9sY/spSZq9Np85s0VviWeO2RmI0W/E5ueZvRS7UlTumW3MmDJ7QeRzc/Cvcthy6jIctX8H0wTDzAq0LZKptel0K3fAyeDCuZxw/33sen97Yl6ggH55asINhLy9l1qrD1Jpcx1Dc1kjqzFa8DSe9vcJ92n2kXdYFnjuxPWD8+/Dgbrjoeagphu9vg9c7aa2VooP66lM0KUJoZTa+v3MQX0ztR0K4P8/+uIshLy9h5opDVNtSYjgzbmsk9bZIjhlJh6YXVB/+4TDwLrg7Fa7/AdoMgbUfwDu94fPxsPtHsDj/l0hhH46O9My9fSBfTxtA++hA/vvzbs57aQkzlh906haK247a1N8i2Q/eQRAUq4+oUyEEJA3XbhW5sOlz2DgLvpmsae19A/S+HkJOzgulcFcGJEUwICmCjenFvPnHfp7/ZQ+frEzj/vPbM6FPPJ4nf7d1xrnU2JF6g62F+7RujTOvgQiK0ZIq3bcNJs2BFl1h2UvwZlf48irY/RNYTHqrVDQRfVqH88XU/sy5dQCxob489t12LnxjOT9vy8FqdZ4Ft7pnkbcdd6UQQgohzpQHtsGcsmvjLN2aM2HwhOQxMPlbuG8LDHlIG3H65jptxGfxMyqW0owY2DaC7+4YxIwpfTB4CO76ahPj31/FxvRivaUBDjSS47LIXwx0Bq4RQnSu57gg4D5gnT2v/4+uTV0FlGfpH2g9F8ISYeRTcP8OuOYbiE/R5qK80xtmjYVt89SITzNACMGFXWJYdP9QXpnQnbzyWq78YA33f72Z3DJ9P39HxkgakkUe4DngJeARe15ca5Ec17UpOqDdu0qLpD4MntBxtHYrz9GSM23+Ar67BXxDocckLZbSooveShUOxOAhuCqlFWO6xfL+0gN8tOIwv+/K464R7bhlSBtdVhs7smtzxizyQojeQCsp5c+nO9G5ZJH/R4ukcL92H9WxQa93eoJjYejDcM9muH4htBsFqZ/AB4Pgo5HaKuQ6VaLSnQnw8eSRi5L544FhDGkfySu/7eWSt1eyKaOkybXoFmwVQngArwMPnelYKeUMKWWKlDIlKiqqQef/xxT5wn0gDBDW5hwVOykeHpA0DCZ8Ag/thYteAGOVtgr5tWRYeA8cSf27do/C7UiI8OfDKSl8dnM/aowWrvxgNc/9tIsaY9MNFzvSSM6URT4I6IpWiCsNGAAstFfA1WK14mU4bnSmYC+EtwFPb3uc3jnxD4eBd8Kda7U0kl3GayU2Zo6CDwZriZiqnSM4p7A/wzpE8dsDQ5ncvzUfrzzMRW8ub7LWiSON5LRZ5KWUZVLKSCllopQyEVgLXCalPHNC1gZgtsoTUwgU7nft+MjZIISWi3bce1orZeyb4OkDi/6ltVLm36KV3FCtFLcj0MeT58Z35etpA5BIJk5fw8crDzs8473DjERKaQaOZpHfDcw9mkVeCHGZo657FLNF4nnUSCxmKD7omiM2jcU3GFJugmlL4PaV0OcG2P87fDYW3k2BVW+rBExuyICkCH66ewgjkqN57qdd3D57I+W1jpt/5NAYiZTyFyllByllWynl/2zbnraVojj52OH2ao0AWKwSw9H8qaXpYDFCpJsEWs+VmG4w5hV4cA+Mnw7+kbD431orZd5NcGiZlopS4RaE+HsxY0ofnrqkE3/uzmfi9DXklNU45FpuO7PVfHyM5OiITXPp2pwJb3/oeQ1M/U2Lp/S9BQ7+BZ9fBu/2gZVvQmXDRscUzo0QgluGJDHrpn4cKanhivdXc7Cg0u7XcUsjsVolVsnfMZLCvdp9ZDv9RDkr0Z3g4hfhoT1w+Qxtbc8fz2grkefeAAeXqFaKG3Be+0i+uW0AJouV6z5aR0aRfUuPuqWRWGyBpWMxksJ9EBCtJRlS1I+XH/S4Gm76Be5ar9XwObwMvhgP7/SCFa9DRZ7eKhWNoEvLEGbf0p9as4XJH6+jrNp+MRP3NBLbYqZjMZLmNGJjD6I6wkX/02IpV8yEkFbw53/gjc7aiuRDS9WIj4uSHBPMxzf0Jaeshvu/2Wy30Ry3NJKjuS89PYT2hS/YC1HKSM4aL18tC/6NP2k5UwbcAWmr4PNx8P4A2DAT6uzf31Y4lj6tw3hyTCeW7C3gu01ZZ35BA3BLI/m7RSKgughqS1WLpLFEtocL/6tldRv/gTYv5eeHtJXIix5XK5FdjOsHJtKzVSgvLtpjlxyxbmkkZpuReBmE1hqB5jmHxBF4+ULPa2HaMrj5d2h/PqyfAe/00fKlHPhDdXtcAA8PwYMXdKCgoo5FO3Ibfz47aHI6ToiROFt6RXdBCEjor63xuX+HlowpewvMvlKbjr/1G5WAyck5r10kkYE+LNvX+KF+tzSSoy0STw+hBVq9/LUyEArHEBwLI57QaiGP/wCkFb6fBm/3hnUfaosIFU6Hh4egU2wQB/IbH+dySyOxWI6LkRTug4h22ipZhWPx9NG6PXeshmu+huCW8Ouj8EZXrXypSmvgdHgIgdUOXVG3/HWZbBOoPA3CtdIrugseHlpp0qm/wc2/aQsIl/wX3uoBa95T2dycBKtVsiunnLZRgY0+l1saydEYibc0QmmGMhI9SRgA134Dt/wFMd3htyfg7V6Q+qkqtaEzv+/KpaCijvM7tWj0udzSSMy2rk1wVTog1YiNMxDfB65fADf8CCHx8NP98OFQbV6KoskprjLy7MJdtIsO5OKuMY0+n65Z5IUQDwohdgkhtgkh/hRCtLbHdY+2SIIrD2kbVIvEeWgzFKb+DhO/0Mqnzhqj5UepzNdbWbOhrNrEDZ+sp7jayJtX97RLjRy9s8hvBlKklN2Bb4GX7XFtsy1GElh5GBBasFXhPAgBnS/T1vQMfRR2/QDvD4Q9v+itzO3Zl1fB+PdXsSe3nA8n96FrXIhdzuvIFsmxLPJSSiNwNIv8MaSUS6SUR5chrkVLx9hojrZIAioOQVhrbRKVwvnw9oeRT2pF1YNj4etr4KcH1PwTB2C2WHlvyQHGvr2SiloTc24dwIjkaLud35HlKOrLIt//NMdPBX6tb4cQYhowDSAhIeGMFzbZYiQB5QdVt8YViO6kBWP/+j+tXk/RQZj4OfiF6q3M5ZFS8tvOPF79fS8H8isZ0y2G/1zWlaggH7texylq/wohJgMpwLD69kspZwAzAFJSUs446G2xSgRW/MoPQfIou2pVOAhPb20tT1Qn+PE+mH2FFpj1DtBbmUtislj5ZXsOH688zLYjZSRFBTBjSh8u7NL4wGp9ONJIzpRFHgAhxPnAk8AwKWWdPS5stlqJE0V4WOoaPGKzP6+CgwWV9GsTQXiAG2ead3Z6Xae1RL6ZrJXSmPCJ3opcityyWuZvOsIXa9LJLa+lTWQAL13ZjSt7O7bwuCON5FgWeTQDmQRce/wBQohewIfAaCml3cL2FqukrcjWnjQgT+umjBLunP4r7cjgKc+OXDukC3cMa4ufd9NXLFMAyZfA8Mdhyf+g9w1a3R7FKamqM/Pbzly+25TFqoOFSAmD20Xw/BVdGd4hGo/jqyk4CIcZiZTSLIQ4mkXeAHxyNIs8kGpLAP0KEAjME0IAZEgpG51h3nyCkZw5RvLzsrUs9n6IIKqpE768vfQyxqReyWOX9eTCzi2waVM0JYPv02bBbp2jjKQe8spr+WN3Hn/symPVwSKMZivxYX7cM6Id43vFkWSH2apng0NjJFLKX4BfTtr29HGPz3fEdc0WSTuRhdk3DM+AiDMen5T+Df7UwVWf4bPjWx7ZPZfrTMt58sspzGl/Ic9e2oXESNVXb1I8fSC6szYzWUGtycLmjFLWHCxk2b4Cth4pA6BVuB+T+7dmdNcYUlqHNUnroz6cIthqb8xWK209sjGFtjvjG7RYJR2NO8kJ6Up8l/FadbpDS4n95VE+LXyFv9KWcPMb13PJsAHcObyd6u40FaYaKNgD7S/QW4ku1JosbM8qY/3hYlYfLCQ1rYQ6sxUPAd3jQ3nkoo5c0LkF7aMDnaLF7JZGYrFKkkQ25vBLznhsSbWR1iKPkuCRFFXWEeDjiW/ScMTtK2HdBwxf+iLneTzMO8suY8zGq3h0bA9Gd41xig/PbZESFj8NNcXQa4reahyOlJKM4mo2Z5SyOaOEzZml7MouP5YOIzkmiOv6t2ZQ2wj6JYUT7Ouls+J/4pZG4lFbSpQopzTizPERk8VKKDXUZa2i4uVupIkw0tpO5vwrpxEy+D48uk7A+/cneWjnt1xjWsV/5kzi4/gLeHJsZ3olqKz0dsdYpaVw3DoHBtwFbYborciumCxWDhZUsjunnF3Z5ezOqWBXTjnFVUYA/L0N9IgPZdrQJHolhNE7IZSIQPvO+XAEbmkk/hXaGhsZfuahX6vFgp8wEk8+eEAiefQ59BTbXvmMnPP+xwUjL8TjqlnQ+wZiFz3GhwVvkFrwO099cB1tug3kX6OTaRXu7+B31AywmGHnd/DHs1CeBcOfgKGP6K3qnLFaJdllNRzIr+RAfiV7civYnVPO/rxKjLbk5N6eHnRoEcj5naLp0SqU3glhtI8OdOgwraNwSyMJtBmJtQFzSKynKP7Unf10XzmRnzeNJ/naF2jbdgTi9lWwaRZ9/nqen+STzN8zjEk7r+aSwb24a3g7Qvydr8np9FQWwPZ5sO4DLbDaops2dyRhgN7KGkStyUJaURUH86s4WKCZxsGCSg4VVFFj+jupcmSgN51ig7lpcCKdYoPp3DKYpMgAlzSN+hCOrlJub1JSUmRq6ulLBO9J/YuKjfPocsOb+PuevllYXGUk/JWo0x6TJ0NJ7fgwoybcga+3J9SUwopXkWunY8STt42X8q3XZdw2qiuTB7TG29M9vhwOoyJXK2S++0c48CdIC7Tqrw35drjYqbLZSSkpqTaRUVyt3YqqyCiuJr2omszianLKa0/IdR0f5kfbqEDaRgXSLjqQtlEBtI0OJNIFuidnQgixUUqZUu8+dzSSs8FkseL13N+xjsM+ybSp21PvsamGHnhc8hq9e/fVNhQd1IKCe36i0BDNf2omsi10FI9d3EkFZI+nuhgy10PGaq24Vs5WbXtIK+h6JXS/GlqcvDC8abBaJQWVdWSX1pBTVnvC/VGzqKg7MQFTVJAPrcP9SQj3p1W4P0lRAbSLDiQpMtCtR/WUkZyJZ49bSv1sGRazCcN/I+s9tE56sjzqWvpM/i/hobbXHV6B/O1xRO52dhqSuaf6FpKSe/LaxJ6E+DWz7o6pBvJ3Qc42zTAy1kLBbm2fhxfEp0D7C6HDRdo8EQeardlipbjKSH5FHbllteSU1ZBVqt3nlNaSXVZDXnntsUWeR/HzMtAy1JcEm1kkRASQEO5P6wh/4sP88Pd2y4jAGVFGciZOMpKjHN66jDbf1z/R9gCtODDsXS4aPkxreVgtsOUr5B/PYDTWcX3NQ5RGpjD39oHuaSYWE5SkaTlxC/f/bR6F+7SuCoBPMMT3hdYDIWEgxPXRagw3klqThYKKOvIraskvr6Ogso78ctvziqOP6yiuqsN60tfbyyCICfElNsSPliG+xIba7kP8aBnqR8tQX0L8vFRrsh6UkZyBzGfa0UrYanscZyQA0mql9LlEwmTZP15XLX2Ym/wmN0y65u8vXkk6zL4CU2UR/SpeYUzfZP53eTe76m0yTLVQdgRK07VAaMlhKDygmUXJYbAe1+QPitVyssZ0g9ju2uPQ1g2Kd9QYLRRV1VFcZaSoykhxpfHvx8dvt+07uasBWsWAyEBvooN8iQryIdp2iwr2JTrIhxbBvrQM8SUy0Ee32Z+uzumMpHm20U5id8w4WuXNrHef8PAg7JkM9q/8lvZ/TD1hX41XKJfueZSl2/ozokdbbWNYa7j4JbxmX8nEyDSWpTc+sa5DsJi09IYVuVCRo93KszTDKM2A0kyoPKkCm8EbwttCdLKW4SyivbaWKaIt+IViNFspqzFRVmOkrMJEaV4BpdUmympMlNaYKKs2avc1Js0cbIZx/OjG8XgZBOEB3oQH+BAR4E2rMH/CA7yJCvI5dtMMw5fwAG+t/IhCF5SRAOHdL4LFmpHs/Ow+utzw1j+OaX/eBPLjOhD92d8TpEqCOtKuZDlZ+zZCj7ZgtSIPLaHm5yfwxsCignDGj3RM/od6sZi0WsdVhdp9dSFUFUFVgWYKx0wjVzuGE1uj0sMTa1AcxsB4qlsOpdK3JWU+sRR5xpBvaEE+YZTXWamoNVOabaL0oJGymmrKqjdSWmOi2njqGrJCQLCvFyF+2i0swJu2UYGEB3gTEehNhM0wwgNsjwO9CfLxVF0MF8GhXRshxGjgLbTVvzOllC+etN8H+BzoAxQBV0sp0053Tkd0bWqNJnyf/zu4WvtwGr6Bx81alZKt81+ix44X6n392s5PEVm+k8jclYSaC8iW4fyXafQcNZFbzks6+6a0qRZqy2y3Uu2+pvTvx7WlUFOCrCrEWlWErCpEVBdhMJbXezqJoMornHLPSEoM4RSKcPJlKDnWMLIsIWQYg0kzBpNnCcJ6huybfl4Ggnw9CfX3ItTPm2A/L9tjzSBC/b0I8ffWHh997udFkK+XajG4OLrESGzJn/cBF6ClWdwAXCOl3HXcMXcC3aWUtwshJgGXSymvPt15HRJsBX7/+BkuzHzznF9fJX3YI9qSGXkewZ1G0j8xBIOxClNNOebaCsy1lVhry7HWViHrKrSp4MYqPEyVGIzleJoq8DaV4WOuxNN6+vxONXhTLgMoksEUy0CKCaZIBlMigygmyLY9mGKCKJZBlBIIHp4E+XoS6ONJkK8XQb6eBPnYtvmevM3Ldtxx2309CfDxxMtNJlApzh69jGQg8KyU8iLb88cBpJQvHHfMb7Zj1gghPIFcIEqeRpSjjMRktrD1+eGkWLfZ/dzHY5GCKvyowpcq6UsVvpRLf8oIoFz6U04A1R6B1HkGUecZhMkrGIt3MFafYKw+IXj4huDt50+Atyd+3gYCvD3x97HdexsI8Pn73s/r7+c+nh6qm6BoFHoFWxuS/PnYMbZESGVABFDoQF314uVpoM+/l7Nu5WJMq9/nvJolJ+zPkeFkiRbUeIVj9fDG7OGNWXgjDd7g6YPF0x+LVwBWrwCkVyD4BCC8gxA+ARj8gjD4BmHwDcbbxw9fb098vQz4enkQ4mmghZcBPy8DPl4e6gevcElcIth6tlnkG3Ed+g+5EIZc+I99sbabQqH4J47s8DYk+fOxY2xdmxC0oOsJSClnSClTpJQpUVGnXxejUCiaHkcaybHkz0IIb7TkzwtPOmYhcIPt8QTgr9PFRxQKhXOid/Lnj4EvhBAHgGI0s1EoFC6G3smfa4GrHKlBoVA4HjUpQKFQNBqXW7QnhCgA0s9wWCQ6DCHXg7PoAOfRonT8E2fRciYdraWU9Y52uJyRNAQhROqpJs40Rx3gPFqUjn/iLFoao0N1bRQKRaNRRqJQKBqNuxrJDL0F2HAWHeA8WpSOf+IsWs5Zh1vGSBQKRdPiri0ShULRhCgjUSgUjcatjEQIMVoIsVcIcUAI8ZiOOloJIZYIIXYJIXYKIe7TS4tNj0EIsVkI8ZPOOkKFEN8KIfYIIXbbctbooeMB2+eyQwgxRwjh24TX/kQIkS+E2HHctnAhxGIhxH7bvcOLSp9Cxyu2z2abEOJ7IURoQ8/nNkZiy8j2HnAx0Bm4RgihT9UlMAMPSSk7AwOAu3TUAnAfsFvH6x/lLWCRlDIZ6IEOmoQQccC9QIqUsivaOrCmXOM1Cxh90rbHgD+llO2BP23P9dCxGOgqpeyOlt3w8YaezG2MBOgHHJBSHpJSGoGvgXF6CJFS5kgpN9keV6D9YOL00CKEiAcuAepPk990OkKAoWgLNZFSGqWUpTrJ8QT8bKkr/IHsprqwlHI52gLV4xkHfGZ7/BkwXg8dUsrfpZRHa32sRUv90SDcyUjqy8imy4/3eIQQiUAvYJ1OEt4EHgXqr5bedLQBCoBPbd2smUKIgKYWIaXMAl4FMoAcoExK+XtT6ziJFlLKHNvjXMAZapjcDPza0IPdyUicDiFEIDAfuF9KWX+Kd8defyyQL6Xc2NTXrgdPoDfwgZSyF1BF0zThT8AWfxiHZmwtgQAhxOSm1nEqbPl4dJ2TIYR48v/bu3vXpqI4jOPfZxDBTYdCwcFJV0epDtW6WKQgbnao4OJfIIiTk06uujhpFUGKgqN2dREpIiqoVGoHX3aXgo/DuZHioCknuQfD84FLIOQmP27Ck3NOcs6hdM+Xhz1nkoJkmBXZeiNpFyVElm2vNCrjKLAg6ROlq3dC0t1GtWwCm7YHLbOHlGDp20lg3fZ321vACjDToI7tvkqaBuhuv7UqRNJ54DSwuJNFxiYpSIZZka0XKqs33wbe2r7RogYA25dt77d9gHI9Vm03+fa1/QX4LOlQd9cc8OYvp4zLBnBE0p7ufZqj/UD09pUCl4DHLYro9qG6BCzY/rGjk21PzAHMU0abPwJXGtZxjNI8fQWsdcd842szCzxpXMNh4EV3XR4BexvVcRV4B7wG7gC7e3zt+5SxmS1KK+0CZeeEZ8B74Cmwr1EdHyjjjIPP7K1hny9/kY+IapPUtYmIRhIkEVEtQRIR1RIkEVEtQRIR1RIkMXaSzkha++P4KelU69piNPLzb/Su2xR+EThuu/UcoBiBBEn0StJBYBWYsb3Rup4YjXRtojfd/KN7lLVaEiITJC2S6I2k68C07aV/Pjj+K2PdRDxiQNIscJY2M35jzNIiibHr1gB5CZyz/bx1PTF6aZFEHy4CU8DNMnP/t2u2H7QpKUYpLZKIqJZfbSKiWoIkIqolSCKiWoIkIqolSCKiWoIkIqolSCKi2i9psvZ59pkrEwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sol3 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "sol4 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "plt.plot( sol3.y[0,:], sol3.y[1,:], sol3.y[2,:] )\n", "plt.plot( sol4.y[0,:], sol4.y[1,:], sol4.y[2,:] )\n", "plt.xlabel( \"X\")\n", "plt.ylabel( \"Y\")\n", "ax.set_zlabel( \"Z\");\n", "\n", "plt.figure(figsize=(4,8))\n", "plt.subplot( 3, 1, 1 )\n", "plt.plot( sol3.y[0,:], sol3.y[1,:])\n", "plt.plot( sol4.y[0,:], sol4.y[1,:])\n", "plt.xlabel( 'X' )\n", "plt.ylabel( 'Y ')\n", "plt.subplot( 3, 1, 2 )\n", "plt.plot( sol3.y[1,:], sol3.y[2,:])\n", "plt.plot( sol4.y[1,:], sol4.y[2,:])\n", "plt.xlabel( 'Y' )\n", "plt.ylabel( 'Z ')\n", "plt.subplot( 3, 1, 3 )\n", "plt.plot( sol3.y[2,:], sol3.y[0,:])\n", "plt.plot( sol4.y[2,:], sol4.y[0,:])\n", "plt.xlabel( 'Z' )\n", "plt.ylabel( 'X ')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What are the effects of n on the oscillations?\n", "Plot the simulation for n = 5,7,9,11,13" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "K = 0.6\n", "ns = (5,7,9,11,13)\n", "plt.figure(figsize=(8,8))\n", "for i in range(len(ns)):\n", " n = ns[i]\n", " plt.subplot( len(ns),1, i+1)\n", " params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", " mf = lambda t,y : goodwin_oscillator(t,y, params)\n", " sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", " sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )\n", " plt.plot( sol2.t, sol2.y.T )\n", " plt.title(\"n =\"+str(n))\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Examine the activation/repression over time\n", "\n", "Choose a parameter set of interest (e.g. the original one), and determine how K^n/(K^n+Z^n) changes over time" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Activation of X')" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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gu5hUGwGitrmWeW/MY1LqJB457pGQydFZ6lvqOf+D8ymuL+aln77EiIQRoRYJsOaRnP3u2dQ76nnnZ+/0mSVAcytyOf+D8xmVOIqn5z1NVFhUqEUCrOVAT3nzFOIj4nnlpFf8Wtq2N/Dqxlf563d/5cKJF3L9jOtDLU4rpQ2lnPj6icwZMYc7Dr2DvLw8GhsbQy1Wh0RFRZGZmUl4+N6NrY5SbfSNp64P8OKGF6lqqupzrYmY8BgenPMg571/Htd8cQ3P/+R54iLiQi0WX+z8go0VG/n74X/vM8YBYPSg0fzjiH9w7ZfXcvvi2/n74X/vFZXx27lvk1ebx8PHPtwr5PGXs8edzaaKTTy99mnGDBoTtMy9neWJ1U/Q4mrhyqlXkpeXR3x8PFlZWb1Wt6pKWVkZeXl5ZGdn+/273u1n9hFqmmt4du2zHJV5FDmpOaEWp9MMjx/OvUfdy/bq7dyy8BZc6gqpPC518fDKh8lKyOLE7BNDKktXmDNiDldNvYr3tr7H/HXzQy0Ozc5m/rvqv0xOncwRw44ItTid5qZDbuLgIQdz27e3saZ0TajFYXfdbl7d+Cqnjj6VkQkjaWxsJCUlpdcaB7ByiaWkpHTayzEGIgA8v/55qpur+0zfgy9mZszk9wf/ngV5C3joh4dCKssnOz4htzKXK6Zc0ae8B28um3wZc0fO5b7l9/FN/jchleX1za+zu243V027qldXYu0Rbgvn3qPuJTU6lWu/uJaS+pKQyvPoj48CcPnky1v39QW9dkVGYyC6SXVzNc+tfY45w+cwIWVCqMXpFueNP48zxpzB46sf56PtH4VEBqfLySMrH+GAxAM4IeuEkMgQCESEO2ZbiQVv/PpGdlTvCIkcjY5GHl/1OAcNPohDMw4NiQyBYFDUIB6c8yA1LTX8bsHvaHI2hUSOndU7eSv3Lc4aexYZcRkhkaEnMQaimzy37jlqWmr6tPfgQUT448w/Mm3wNG5ddCvry9b3uAwfbf+IrVVbuWLqFX1+VqpnuKZd7FzzxTUhSUT3ysZXKGko4eppV/eJVm5HjEsex98O/xurSlbx18Whmb/zyI+PEG4L55LJl/T4uTti165dZGdnU15uZUeoqKggOzub7du3d6tcYyC6QVVTFc+te465I+eGPOFZoAi3h3Pf0feRFJXENV9eQ1lDz6326nA5ePTHRxkzaAxzR87tsfMGk8z4TO496l52VO/g5oU392j/jmdezsyMmUFb9rKnmTtyLpdPuZy3t7zN8+uf79Fz51bk8v7W9znvwPNIjU7t0XPvj+HDh3PFFVdw883W0qM333wzl156KVlZWd0qt28GeHsJz659lrqWOi6fcvn+D+5DpEan8sAxD/CrD3/F9Quu54njn+iR9NrvbX2P7dXbuf/o+3v9OP3OcEjGIdx0yE38fcnfeeiHh7jmoJ5JOPjihhcpbyzn6qlX98j5eoorplzB5orN3LPsHg5IOqDH1l74z4//ISY8ht9MbH8tktvfXcu6gsBO7JswNIE/n7z/iXjXXXcd06dP5/7772fRokU89FD3+xL7z1PYw5Q3lvPC+hc4fuTxIVsMKJhMSJnAX2f/lRXFK/j70r8H3Z1vcbXw6I+PMiFlAnNGzAnquULBuePO7dH+nermap5a8xRHZh7J1MFTg36+nsQmNv5++N8ZlTiKG7+6kZ3VO4N+zrVla/l0x6dcMOECkqKSgn6+rhAeHs7dd9/Nddddx/3337/PfIeuYDyILvLk6idpdDZy1bS+Ne+hM8zLnsfGio08sfoJxg0ax7njzw3aud7KfYv82nz+OPOPfT5W7gvPkqVbKrfwp2/+RFZCFuOTxwftfM+te46a5pp+5z148J6/89svfssLP3khqPN3HlzxIEmRSfxywi87PM6fln4w+fDDD8nIyGDNmjXMndv9MG1IPAgReUpEikXE56BmsXhQRHJFZJWI9Ko0iUV1Rby84WVOGnUSoxJ7bl3kUPDbab/lqMyjuGvpXXy/+/ugnKPJ2cR/f/wvU9KmcPiww4Nyjt5AhD2Cfx3zL+Ij4oOabr2isYL5a+czd+RcDkw5MCjn6A145u/sqN4R1Pk7SwqX8G3Bt1w86WLiI+KDco5AsHLlSj799FO+++47/vWvf1FYWNjtMkMVYnoGmNfB9ycCY9yvS4FelbvisVWP4cLFFVOuCLUoQccmNu484k5GJIzg+gXXk1eTF/BzvLbpNYrqi/jttN/2S+/Bm9ToVB485kHKG8u5fsH1tDgDv3raU2ueosHR0Odm9XeFYM/fUVUeWPEAQ2KHBNWD7i6qyhVXXMH999/PiBEjuPHGG7nhhhu6XW5IDISqfg101Hw6FZivFt8BSSLSKwYd76rZxRub3+CMMWeQGZ8ZanF6hLiIOB6c8yBOdXLNl9dQ31IfsLKrm6t59MdHmTlkJjMzZgas3N7MxNSJ3H7Y7SwvWs6t394a0JZvXk0eL65/kZMPOJkDkg4IWLm9Ge/5O69tei2gZX++83NWl67myilXEmmPDGjZgeTxxx9nxIgRrWGlK6+8kvXr1/PVV191q9ze2kk9DPBe6DfPvW8vRORSEVkmIstKSnpmduV9y+4j3B7OpZMv7ZHz9RZGJozknqPuYUvlFv646I8Bq9Qe+/ExqpqquOHg7rd2+hI/HfVTrpl2De9vfZ8HVjwQsHLvW34fdpu9365P4AsR4Y+z/sjhww7nr9/9lQW7FgSk3CZnE/ctv49RiaN6TQ6o9rj00kt55ZVXWrftdjsrVqzgqKOO6la5vdVA+IWqPqaqM1R1RlpaWtDPt7hgMZ/t/IxLJl3C4JjBQT9fb+OwoYdxw4wb+GznZ9y//P5uj2zaWb2TFza8wGljTgtqh21v5eJJF3P22LN5as1TvLj+xW6X9/3u71uXZh0SOyQAEvYdPOk4Dkw+kBu/upEfS37sdplPrXmKXTW7uGXmLX025Ut36a0GIh8Y7rWd6d4XMlpcLdy19C4y4zK5YOIFoRQlpPziwF9wzrhzeHrt0zyx+okul6Oq/OW7vxBpjxxQrV1vPCObjhl+DHcuvZOPtnV9+Guzs5m/ffc3MmIzeuXSrD1BTHgMDx/7MGkxaVz9+dXkVuR2uaxdNbt4cvWTzMuax6yMWQGUsm/RWw3EO8AF7tFMs4AqVe1+l3w3eGzVY2yp2sJNh9zUq2ORwcZTqZ086mQe/OHBLq9G98bmN1hSuITrp1/f62al9iR2m527jryLaYOncfPCm/l4+8ddKufRHx9lS9UWbp11a69dmrUnSIlO4dHjHiXcFs5Fn1zUJSPhdDn50zd/wi52bpgxsEKfbQnVMNeXgMXAOBHJE5GLRORyEfFMSf4A2ArkAo8DIU10tLpkNY+vepxTDjiFo4cfHUpRegU2sfGX2X/h2BHHcufSO3l27bOd+v2O6h3cs+weZqTP4MyxZwZJyr5DdFg0/znuP0xJm8JNX9/UaSPxQ/EPPLXmKX42+mcckdn30nkHmhEJI3jyhCexi71LRuLptU+zrGgZt8y8hfTY9CBJ2UdQ1X7xmj59ugaDkvoSPf5/x+tx/ztOq5qqgnKOvkqTo0mv+/I6zXkmR+9ddq+6XK79/qa2uVZPe/s0nf3SbM2vye8BKfsOtc21esEHF+ikZybp/LXz/dLn7trdevQrR+tPXv+JuT/bsLVyqx7zyjF66IuH6pKCJX79ZlHeIp3y7BT9vwX/55f+VVXXrVvXHTF7FF+yAsu0nXq1t4aYegVVTVX89vPfUt5Yzv1H309CREKoRepVRNgjuPvIuzl77Nk8veZprvniGiobK9s9vr6lnqs+v4qtlVv55xH/ZGjc0J4Ttg8QGx7Lo3MfZc6IOfzz+39y++LbOxxSXFJfwsWfXEx9Sz33H2Puz7ZkJ2bz3E+eIz0mncs+vYzn1z3f4ei7ZbuXcf2C6xmdNJrbDr2t38/J8YcBbyBUlc0Vm/fZv7F8I7/68FdsrNjI3UfdzcTU0E6h763YbXb+36z/x00H38SigkWc8e4ZvLvl3X0Wmd9UsYnzPzifH4p/4M4j7uSwYT2TYK2vER0WzX1H38fFky7mjc1vcNa7Z/HFzi/2GTG2uGAx5753LkX1RTxy3COMGTQmRBL3bobFDWP+ifM5fNjh3PX9XVz8ycWsKlm11zEOl4P5a+dz6aeXkh6bzsPHPtwrlt31F1Xl8MMP58MPP2zd97///Y958zqai+wf0vbG66vMmDFDly1b1unfrS5Zzc8/+DnjBo1jZsZM4sLjWFO2hoV5CxkUNYi7j7ybQzIOCYLE/Y91Zeu47dvbWF++nozYDGZlzCIhIoHNlZtZXLCYpMgk/nHEP5g9bHaoRe0TfL/7e25ffDs7qncwLG4Y09OnEx0WzerS1awrW0dWQhb/PPKf/TqdRqBQVV7f/DoPrHiAyqZKxieP58DkA3GqkyWFSyiqL+KIYUfwjyP+QWJkYqfKXr9+PQceGNprsGbNGs466yx++OEHHA4H06ZN46OPPuKAA/aeLOlLVhFZrqozfJU74A1EdXM1H2z9gPe2vseG8g00OZvIjMvkhKwT+NXEXzEoalAQpO2/uNTFZzs+490t77KqdBW1zbVkxmdy7Ihje3UmzN6Kw+Xgw20f8tH2j9hYvpEGRwPZidmcmH0ip485fUCPWOoK9S31vLbpNb7c9WVrFtgJqRM4c8yZHJl5ZJfCSntVuh/eDLtXB1JkGDIJTrxzv4f9/ve/JzY2lrq6OuLj47n11ls7ltWNMRB+4lIXLnUN2EkxBoOh8/QWA1FXV8dBBx1EREQEy5YtIzJy3+H4nTUQpib0wia2frVQjcFg6GH8qMiDRWxsLOeccw5xcXE+jUNXMLWhwWAw9BNsNhs2W+CqdWMgDAaDweATYyAMBoPB4BPTB2EwGAz9hNtuuy2g5RkPwmAwGAw+MQbCYDAYDD4xBsJgMBgMPjEGwmAwGAw+MQbCYDAYDD4xBsJgMBgMPjEGwmAwGPo4b775JlOnTt3rZbPZ9koB3hXMPAiDwWDo45x22mmcdtpprduPPfYYL7zwAieccEK3yjUGwmAwGALEXUvvYkP5hoCWOT55PDcdcpPfx2/atIm//OUvfPvtt93OyxSSEJOIzBORjSKSKyI3+/j+1yJSIiIr3a+LQyGnwWAw9CVaWlr4+c9/zr333suIESO6XV6PexAiYgceBuYCecD3IvKOqq5rc+grqnp1T8tnMBgMXaUzLf1gcOuttzJx4kTOOeecgJQXihDTIUCuqm4FEJGXgVOBtgbCYDAYDH6yYMECXn/9dVasWBGwMkMRYhoG7PLaznPva8sZIrJKRF4TkeG+ChKRS0VkmYgsKykpCYasBoPB0OupqKjgwgsvZP78+cTHxwes3N46zPVdIEtVJwOfAs/6OkhVH1PVGao6Iy0trUcFNBgMht7Co48+SnFxMVdcccVeQ11feeWVbpUbihBTPuDtEWS697WiqmVem08A/+wBuQwGg6FPcsstt3DLLbcEvNxQeBDfA2NEJFtEIoBzgXe8DxCRDK/NU4D1PSifwWAwGAiBB6GqDhG5GvgYsANPqepaEfkLsExV3wGuEZFTAAdQDvy6p+U0GAyGgU5IJsqp6gfAB232/cnr8y1A4P0lg8FgCAKqioiEWowOUdVO/6a3dlIbDAZDnyAqKoqysrIuVcA9hapSVlZGVFRUp35nUm0YDAZDN8jMzCQvL4/ePtQ+KiqKzMzMTv3GGAiDwWDoBuHh4WRnZ4dajKBgQkwGg8Fg8InxIAJJcx2UbobqAqgvBXWBKkQlQmwaxKXDoCwIiwi1pH2H+nIo3wZNVdBcD/YICI+GmGRIzLR0a/Cfxiqo2W3p1dls6TMsEuKHWPenzR5qCfsOqtBUDTVFll4BRCB6EMQNhog4a7sPYwxEd1CFwpWw5nXY+hUUrQV1dvwbsUPyKBg8HobNgOGHwNBpVqVngNpiWPc2bPkCdi2B+rKOj49MhLRxkDEZhkyCoQdBeg50M81xv6FmN2z8AHI/h4KVUJ3X/rFih8Rhlv7SJ1rvww+BhKE9Jm6vp3wbrH8XdnwD+Sugrrj9YyPiIHUMpB1oPe+ZB/e5Z116c897Z5gxY4YuW7asZ07mcsH6d2DRvywDYQuHkYfC8JkwZLLVso1NtR44sFoX9aVQXQilm6B0o2VMyrda39vCrBvngDnWa9gMsA8w212wEhbeAxs/BJfD8rRGHg6DD7QMavQgiIgBZwu01ENdKVTlQeVOS5e7V0NzjVVWVCKMnG29so+A9EkDz2DsWgrf/hs2vG81WhJHwIiZMHgCJI2w9BkW6dZnA9Tutjzf8q2WPks372nsDMpy6/MwGHWMZUQGEi4XbPoQvn0Idn5r7UsdC8OmW/dnfIalT8TSWUMF1BZZ+izZCCUboKbQ+p0tHDKmwIhZli5HHmbd1yFERJar6gyf3xkD0UkKf4T3rof8ZZB8ABx6FUw8zQp5dJa6Usj7HnZ+B9sXQcEKKywVmQDZR8LoY2H0XEjymauwf1BdCB/dDOvesir2ab+0XoPHd64clwsqtkHeMti+0GrheQxwXLqlxzFz4YBj+ndYqmI7fHSL5TVEJ8O0X8DUn0Pa+M6FO1oaoXitdW/u+NZ6NZRb3w2eAKOPs/Q5fFb/DpnuWGzdn4UrLSN78EXW8z5oZOfKqSuDvKWWPncthfzl4GwCe6TVuDzgWKtxmD6xx8NSxkAEApcTvvw7LLoPYlJg7l9h8tmBjdnWl8O2r63wypYvoMqd9DbtQBhzHIw5vv88kKrww3Pw8f+zHpTZ11rGNpCVd3WBFfrL/RRyP7M8OVuYpcOxx1v67GzF2ZtZ9w68fbXVyDj8Wph1JUTEBqZslwtK1lt63PypVdG5WqwwyqijLWMxem7/8S6cLfDZbbD4IYgfCsf9GXLODJxn39JgNWK2fGmF/0rc2YTih1q6HHsCZB8FkXGBOV8HGAPRXerL4fWLrEp76vlwwt/cLmUQUbXCUZs/sR7IHd/2nweyuQ7evRZW/w+yjoCTH4CUA4J7TqfD8vo2fwKbPoGi1db+xBGWLsccb4WjAlWh9iSOJvj0T7DkUasP5qynrbBQMGmqsRozm93G19OYSc/Zo8/MQ/pmqLQqD/53odXiP+RSOO624N8X1QWWodj8iWU0mmusAQQjZ1u6HHM8pI4OyqmNgegOBSvhlV9aMdqf3A3Tfx34c/iD9wO5+dM9nY2DJ3p5FzPBHh4a+fylbIulz+J1MOePcPj/haZ/oLrArctPYOsCaK613P2swy1djj3e6vvo7VRstyqzghWWx3Dc7T3vYapacXZPY2bnYqsfKTLRCumNOd4KScWn96xcXWHzZ/DGJdYIr1P+DTmn97wMjmbY9d2exkzpRmt/8qg9xmLkbAjv3Kzo9jAGoqusfBHeuw5iUuHs+ZA5PbDld5V2H8iEvb2LhIz9FtWjbPwI3rjUMghnPGFVGr0BR5Olw82fwqaPoWyztT9ltPuBnGs9kGGRoZWzLevfhbeusj7/7D9w4EmhlcdDY7VldD33Z+1ua3/G1D0V3LCDeteQWpcTFvwDvr7H6mM5e37QWuydpmL7nsbMtq/B0QjhMVYIauzx3e6nNAais7Q0wse3wLKnrM7iM5+2RiX1VhqrYdtXe7yLmgJrf/qkPd5FKN19T//NwnusERxnP9f5Tr6epHyr1ZLc/DFsW2j1kYTHWp2JWUdYoaghU0KnT0ezO6T0SM+FlLqKqjXCzGMs8pZafSTRydYgjKwjLK8teVTo+oJqdsPrF1uDG6b9Ak68O+Qji9qlpcG6Jzd/Yt2flTut/ZPPhdP/26UijYHoDGVb4H+/ht2rrI7TOX/qW3FUVSt8s/kTq5LbudgaeheZaA1zHD4TRhxqteB6Yjx2VT68dYVlwA66wHr4AuQa9wjN9VbFsfkT68H0uPuRCZYes90VXHpOz4T3ijfAGxdblW6oQkrdob7c6svb/Kn17plHEJ9heWlZh1uvlNE9YzA2vG917Lc0wE/vhWnnB/+cgcK7nzJuCEw+q0vFGAPhD45mWPxv+OpuK5Rw2n9h3LzACRgqGqssdz/3c2vkiaeCs4XD0KmWwcicYbXsB2UH7qF0tsDyZ+Cz263w10/uhoN+GZiyQ0lNkWUwti+0hiaX5Vr7w6ItHWbOsMbHZ86AxOGB02dTLXz7IHzzgNVhespDMP4ngSk7VKha8y12LLJ0uf2bPeGo6GRLj62vgwLrxVfuskYprXnNmrt0xhPWhMsBiDEQHdFUAyvmw3ePWCMxxp8EJ95lTXbrj9SXWzOUd35nvQpWWB1yYLWKh0yyKrohkyBljDW6qDNzPGpLrIduyaNW7DT7SDj5QUjun8nMqC6wRpjlL7fmYBT+aIWkwEqvkj7RimkPPtB6TxsHkZ1YVL58K/z4ihXurCuGiafDvDv7RodvZ1G1PPgdiyxd5q+whn+qy/o+aaSlz7Txlj7TxlsT1vz1SF1O6zr98BysetXad9g1cOSNfcsLCzDGQHTErqXwpLsT8ojre0/HaU/haLJCUoU/QuEqK7S2ew04GvYcE5VkufyJw6wO+9hU93wFsR7e+jKroiz8cc947mHT4cjfW+O5+8s8A39wNFsTzPKWQcEPULzeGlDQUr/nmJhUS5eJwyFhGEQlWF6BPcIKdTRWWZP+CldB5Q5ArPvyqN9bqS8GEk211n2V76XPslzLKwUQmxVeSRxm6TI+wzLAETFWJoOWenc+ry3WNWmstDp4J51l6bO/NgQ7gTEQ+6NoHaRPaN2srG/m8/XFfLuljJ3ldZTVNeNyKVHhdtLiI0mLi2R4cgzZqbFkpcaSnRJLYkwvH17aGZwOq4Iq22I9jOVbrM81hdbs74YKwOu+sYVZD+ng8VYKgXE/3UufjS1OFm4u5ZvcUnaU1VFS24TDqUSG2UiJiyQlNoIRyTFkpcaSlRLLyNQYEqL6kT5dLquiL15vGdDKXdZY+6o8qM63vNi99BludTqnjXOPSjt+r079hmYni3JLWbS5hF0VDZTVNqFAuN1GWlwkafGRDEmMInNQNJmDYsgcFE1aXCQ2Wz8x1I5m6570GN/KXdaw76p8K8VFcx176TMywfJg0ydZw25HHwfRSYC1kM72snoW5ZayvrCaXeX11DY5cLmU+KhwBsVGkB4fycjUWLJSYshKiSUjMYowe/9J3WIMhB8UVzfy8boiPl6zm8Vby3C6lNS4CEalxZEWH4ldhPpmJ6W1TRRXN1JY3Yi36pJiwhmZEstw90M5PNn9PiiaoUnRRIX3oiF93cXldFdqbiIT9pnLUFXfwucbivhkbRFfbSqhocVJTISdrJRY0hMiCbPbaHK4KK9rori6ieKapr1+nxIbwfDkGIYnWxXccHdFNzw5hqFJUUSG9SN9qlpDFx1N1sABe8Q+XldpbRNfrC/mk3VFLMotobHF1arP1PhI7AINLU5Ka5sprm6kutGx1+8j7DaGJkWROSiGYUnRlvFIjmZYkqXX9IQo7P3FgKhanpg6LW+hzXBaVWV1fhXvry7kg9WF7Cq3vOWkmHBGJseQEB2O3SZUN7RQXtdMYVUjTQ5X6+/D7dJqeNs+68OTY0iJjej1y4960+sMhIjMAx4A7MATqnpnm+8jgfnAdKAMOEdVt3dUZlcNxLqCam59ew0rdlagCqNSYzkhZwjzJg5hcmZiuxe6scXJrvJ6tpXWsb2sju1l9ewoqyOvooGCygZanHvrNSU2wvI+3B5Iqvs9LT6SQbERJESFkRgdTkJ0OAlR4USE9a0WiqqSW1zLV5tK+HJjMUu2luNwKekJkRw/YQjHT0xn1qgUwttpeTU0O9lRXsf2UkuP28vq2FXewK6KevIrGnC49uhTBJJj9tZn6+f4SBKjw1tffVWfLpeytqCarzYVs2BjCcvd9+ewpGiOO3AwcycM4ZDs5Hb/V12Tg/zKBvIrGsirqCevsoG8Cs92A6W1exvkMJuQkRTlNh4xDE2MYlBsBINiIkiKCScpJoJB7vf4yLA+5400NDtZvqOChZtL+GCNZRTCbMLs0akcNyGdI0anMjIlxufz7nIpxTVNbC+rc9+b9ewsqyevop5dFQ2U1zXvdXxkmM3nvZkaZ72s+3LP8x4XEVp99ioDISJ2YBMwF8gDvgfOU9V1XsdcCUxW1ctF5FzgNFU9p6Nyu2ogiqsb+c2z33PChCHMyxnC6MFx3bb+TpdSVN1Invvh3FXeQFFNIyU1TXtetU00e7VK2hIdbm+9keIiw4iJCCMq3E5MhJ3ocDvREdYrxutzVJid8DAbEXYhzGYjPMxGuF2IsNsIs+/5HG63Eeb+7P1fPR+ldVta/09Ds5OGFutV3+ygpKaJoupGCqsa2bi7hnWF1VTWtwAwZnAcx01I5/gJ6UzJTOr2ze/R567yevIqLKNR7K3LLugzOsJOdHjYPjr0/hwZZt9LZ976DHe/IsL26DrMJpbuWvUorXr11qnD6WrVZUOzk7omJ8U1jRRVN1FQ2cCG3dWsL6yhtsnyAnKGJXDcgenMnZDOhIyEgLROG1ucXgakgfzK+r0MSFHN3h6yN3abEBfpuS/txESGERthJ9b9HuP+LjrcTmS4jQi7jcgwG5FhdiLCbNbLbmv9zrMv3G7DJoLdJtgEr8+CzQZ28XwWRKDF4cLhUpodLlqcLlqcSm2Tg4q6ZsrrmimuaSS3uJbcklo27a6l2elqNQo/nZzB8RPSSYrpfud0bZOD/IoG9/1ZT35lA6W1zXvdm22NiDc2gfio8Nb7Mybcc3+6n3evz1Fe92hkmJ1It+4yEqOZMDShS/L3NgNxKHCbqp7g3r4FQFX/4XXMx+5jFotIGLAbSNMOhO3RdN8BQFWpaXJQXN1EVUMz1Q0OqhpaqG5soareevfsq21yuCtmJ43uCtrzua2n0tNEh9sZPTiOiUMTmDI8iSPGpJI5qOcnGakq1Y2W4WpPn1UN1qu+2dKlx+jVNztaP4dan/FRYYxLj2fC0ASmjUjiiDFppMb1/Axup0upamihsr6ZinrrvbK+hQr3e01jC3XNlu5qm5zUNzmobXK4dWt9bmxp32D3FMOSojlgcBwHZsRz6KgUDs5KJjay5+c1tThdlNU2U1rb5H629zzfrfdpg7V/z3O+pxHhaVC0VwOePGUo/z5vWpdk68hAhGIG2DBgl9d2HjCzvWNU1SEiVUAKUOp9kIhcClwKMGLEiGDJGxREhISo8G53xrZ4WqNeBsNqTbnafHbR7FAcLve2Q2l2uvZ05bnvPN17E7BaONERYW7PxUZUuJ3UuEjSE6JIiArrFfFWEWkNK3UHb302tbhoduvO4dTWz9769N52uLRVb9569dapqhIeZrN0Gb6nRZgWb+kzFJWXL+w2ITk2guTYrrewXS5LZ00OF80OF00OJ80OS6fWtvXu+c7hUpwuxaWKywVOVVQV516frRdARJjN8t7s0uqBREfYSXHLnRIbSXRE7+irCrfbGJIYxZDErk8SVVWaHK5WI+ytw/io4Nw3veNu7CKq+hjwGFgeRIjFCQmeUEe/GvUTQow+A4fNJkTZ7P1rgEYIERGiwi19dsdwd4ZQ9NzlA96ZpTLd+3we4w4xJWJ1VhsMBoOhhwiFgfgeGCMi2SISAZwLvNPmmHeAX7k/nwl80VH/g8FgMBgCT6iGuf4EuB9rmOtTqvo3EfkLsExV3xGRKOA5YBpQDpyrqlv3U2YJsKMbYqXSpo+jnzPQ/i+Y/zxQMP+5c4xU1TRfX/SbiXLdRUSWtdeT3x8ZaP8XzH8eKJj/HDj61uwhg8FgMPQYxkAYDAaDwSfGQOzhsVAL0MMMtP8L5j8PFMx/DhCmD8JgMBgMPjEehMFgMBh8YgyEwWAwGHwy4A2EiMwTkY0ikisiN4danmAgIsNF5EsRWScia0XkWvf+ZBH5VEQ2u98HhVrWQCMidhH5QUTec29ni8gS9/V+xT1Zs98gIkki8pqIbBCR9SJyaH+/ziJynfu+XiMiL4lIVH+7ziLylIgUi8gar30+r6tYPOj+76tE5KCunndAGwh36vGHgROBCcB5IjKh41/1SRzA/6nqBGAWcJX7f94MfK6qY4DP3dv9jWuB9V7bdwH/UtXRQAVwUUikCh4PAB+p6nhgCtZ/77fXWUSGAdcAM1Q1B2vy7bn0v+v8DDCvzb72ruuJwBj361Lgka6edEAbCOAQIFdVt6pqM/AycGqIZQo4qlqoqivcn2uwKo1hWP/1WfdhzwI/C4mAQUJEMoGfAk+4twWYA7zmPqRf/WcRSQSOBJ4EUNVmVa2kn19nrKSj0e68bTFAIf3sOqvq11hZJbxp77qeCsxXi++AJBHJ6Mp5B7qB8JV6fFiIZOkRRCQLK4XJEiBdVQvdX+0G0kMlV5C4H/g94FmYIAWoVFXPepz97XpnAyXA0+6w2hMiEks/vs6qmg/cA+zEMgxVwHL693X20N51DVi9NtANxIBCROKA14HfqWq193fuZIj9ZsyziJwEFKvq8lDL0oOEAQcBj6jqNKCONuGkfnidB2G1mLOBoUAs+4Zi+j3Buq4D3UD4k3q8XyAi4VjG4QVVfcO9u8jjerrfi0MlXxCYDZwiItuxQodzsOLzSe5QBPS/650H5KnqEvf2a1gGoz9f5+OAbapaoqotwBtY174/X2cP7V3XgNVrA91A+JN6vM/jjr0/CaxX1fu8vvJOq/4r4O2eli1YqOotqpqpqllY1/ULVT0f+BIrhTz0v/+8G9glIuPcu44F1tGPrzNWaGmWiMS473PPf+6319mL9q7rO8AF7tFMs4Aqr1BUpxjwM6l9pR4PrUSBR0QOBxYCq9kTj/8DVj/Eq8AIrFTpZ6tq246wPo+IHA3coKonicgoLI8iGfgB+IWqNoVQvIAiIlOxOuUjgK3AhVgNwX57nUXkduAcrNF6PwAXY8Xc+811FpGXgKOx0noXAX8G3sLHdXUbyoewQm31wIWquqxL5x3oBsJgMBgMvhnoISaDwWAwtIMxEAaDwWDwiTEQBoPBYPBJ2P4P6RukpqZqVlZWqMUwGAyGPsXy5ctL21uTut8YiKysLJYt61JHvcFgMAxYRGRHe9+ZEJPBYDAYfGIMhBcVdc1sLakNtRgGg8HQKzAGwk2L08Xpj3zLnHu/4pvc0lCL0y+obXKwuagm1GIYDIYuYgyEm6XbytlWWgfAi0t3hliavo+qcv7j3zH3X1/zweouzfI3tOHrTSU88802XC4zuTUQbCuto7i6MdRi9Gr6TSd1d/l0XRGRYTaOGpvG99vKUVWsGeuGrrBiZyU/5lUBMH/xdn4yqUvp6A1uCqsauOCppQAkxoRz2rTMEEvUt1lbUMXPHv6GxOgIvrzhKOKjwkMtUq/EeBBuVuys4KARgzhiTCrFNU3sKm8ItUh9mu+2lgFwxkGZ/LCzkmaHaz+/MHTE+6v2eGFv/VAQQkn6B88t3kGLUymtbeLjtUWhFqfXYgwE4HC62Li7holDE5gyPAmAdYXVHf/I0CHfby9nbHoccycMpsnhYnV+VahF6tN8t7WcUamx/HLWSJbvqDBhpm7yzZZSjp+QTnJsBIu3lIVanF6LMRBYscgmh4sDMxLITo1t3WfoOj/uquSgEYOMwQ0AqsoPOyuYNmIQk4YlUtvkYFuZuT+7SnF1I7vKGzgkO5lZo5JbvV3DvhgDAWwqsoa2jhsST3xUOGnxkWwrNcNdu0p5XTMV9S2MHhzHkIQoosPtZvhwN8ivbKCsrpmpI5LIGZYIwBrjkXWZFTsrAZg2YhAThyaSX9lATWNLaIXqpRgDAewot1pjWW7vITs11ngQ3cBjDA5Ii0NEjD67yZYSS3djB8cxenAcNoHcYmNwu8qWkj0NwtGD49z7zP3pC2MggF3l9aTERhAXaQ3qykqJYUdZfYil6rtsdT9so9JiW9+3mgewy2xzV2ij0uKICLMxbFC0uT+7wZaSWtITIomLDGs1EMbg+sYYCGBHWT3Dk2Nat4ckRlNS20SL04y86QpbSmuJsNvIHGTpdGRKDPmVDTiMPrvE1tI64iPDSI2LAGBkciw7yo2B6CpbS+o4IM0yDCOTYwiziQmBtoMxEFgGYmTKHgORkRiFKpTU9NkVCkPK1pI6RqbEYLdZ80gyEqNxupTS2uYQS9Y32VZaR3ZabOu8nJEpMewwndRdQlXZWlLb6t2G2W0MSYyisMpMmPNFuwZCREZ08N0RwRGn52l2uCisamDkXh5EFAC7zSzLLrGjrK61PwdgaJKlz8IqM7ekK2wtqWOUlz5HJMdQWd9CtelY7TRldc1UNzoYlRrXum9oYjT5lebe9EVHHsQCEfm9iNg9O0QkXUSeB/4VfNF6hvzKBlzK3iGmBLeBMK2KLlFQ2ciwpOjW7SEJ1mfTSus8jS1O8isb9jK4ngZMkdFnp9nuHiyRnbZ3A8Y0XnzTkYGYDhwArBSROSJyLbAUWAwc0hPC9QQNzU4mZyZywOA9LYqMRE+L1zyAnaWmsYXaJkerDsHoszt4Gime/hzwasAYD7fTeDyF4YP2NGAykqLZXdVoJh/6oN1cTKpaAVzmNgyfAQXALFXN6ynheoIJQxN45+rD99qXGB1OVLiN3aZV0Wk8RiDDy4NIigknMszosyu06tPL4LaGQI3B7TR79Lnn/hyaFN2admNwQlR7Px2QdNQHkSQi/wUuBOYBrwEfisicnhIuVIgIQxJMx1VX8FWhiQhDk6KNPruAJ/Thrc90dyVWZDyITlNY2UBCVBixkXvaxkPdujX9EPvSUYhpBbAZmKGqn6jq74BfAneIyEs9IVwoGZIYZR7ALlBYuW+FBhiD20V8tXijwu0kxYSbEFMXKKhq3EuXYHkQYPWdGfamIwNxpKreo6oOzw5VXamqhwFfBF+00JIWH2WGZXaBwqpGRPa0cj1kJEaZkEgXKKxqICkmnOgI+177hyREsbvKDMPuLIVVDWQk7Xtver4z7E27BqKjvgZVfTw44vQeUmIjKDXzIDpNYVUDaXGRhNv3vrVS4yMprW1C1XQEdobCyn1bvGAZYOPhdh5f+kyMDifCbqOk1jzvbTET5dohNS6CmiYHjS3OUIvSpyisatwnvASWPpscLmqbHD5+ZWiP9vQ5JCHKhJg6SWOLk7K65tY+Bw8iQmpcBKU1JmLQlo46qSN7UpDeRmqc9ffL68xN0xkKfcR4YY8+TdiucxRWNfg0EIMTIimrbcJphmb6jcfj8h5h5yE1PtJ4ED7oyINYDCAiz3W1cBGZJyIbRSRXRG728X2kiLzi/n6JiGS5988VkeUistr93uMjp1LcFVqZqdA6xe6qxtZhmN6ktBoI8xD6S2OLk4r6lnY8skhcCpX15v70F08ntC99psVFmpCyDzpakzpCRH4OHCYip7f9UlXf6Khg9wzsh4G5QB7wvYi8o6rrvA67CKhQ1dEici5wF3AOUAqcrKoFIpIDfAwM68wf6y4p7sRopkLzn2r3JLmhSb5DTABlRp9+42sEk4c992dzq/E1dIyvIcMeUuMizaqHPujIQFwOnA8kASe3+U6BDg0E1mzrXFXdCiAiLwOnAt4G4lTgNvfn14CHRERU9QevY9YC0SISqao9VrukmRZvp/GMUhrio0Lz6LPEeGR+01qh+TS4Hg+3CYjvSbH6LB0Z3LT4SMrqmnG5FJs7yaSh45nUi4BFIrJMVZ/sQtnDgF1e23nAzPaOUVWHiFQBKVgehIczgBW+jIOIXApcCjBiRLu5BbuEp4VWZvog/KbAPQeibScgQHKsu8Vr3Hi/Kaxsv0LzeGQmbu4/BZUNDPIxZBgsfTpdSkW98ci88WcU03Mico2IvOZ+/VZEwoMuGSAiE7HCTpf5+l5VH1PVGao6Iy0tLaDnjokIIzrcbiq0TlDY6kHsayDC7DYGxYQbj6wTdBQSSYk1fWSdpbCq0ad3C9a8JzAGty3+GIj/YCXu+4/7dRDwiB+/yweGe21nuvf5PEZEwoBEoMy9nQm8CVygqlv8OF/ASY2PMB5EJ2hvkpyH1LhIYyA6QWFVI8mxEUSF79viTYwOJ8wmlNUZffpLYVWjT+8W9nhkZqjr3nTUB+HhYFWd4rX9hYj86MfvvgfGiEg2liE4F/h5m2PeAX6FNWLqTOALVVURSQLeB25W1W/8OFdQSIk1FVpnKKz0PUnOg2UgzAPoL4VVja2ZW9tiswnJsWbsfmcorGpg+sgkn9+lxXv6yMzcEm/88SCcInKAZ0NERgH7nT3mTtFxNdYIpPXAq6q6VkT+IiKnuA97EkgRkVzgesAzFPZqYDTwJxFZ6X4N9vtfBYjUuAhToXWC3dWNPseYe0iNjzSjmDpBYVWjzxFhHlLjIo0H4ScNzU4q61t89ueAdW+C8SDa4o8HcSPwpYhsBQQYiZXhdb+o6gfAB232/cnrcyNwlo/f3QHc4c85gklqXCSr8szQN38pqGxgzOD2R9SkxBqD2xk6avGCNZDCjArzjwJ3f057Bjc+MozIMJNuoy37NRCq+rmIjAHGuXdt7MnhpqEkJS7CDH3zE1WlsKqRI8e2P1ggLT6SWnf6El9xdcMe9tfiBWvo8LZSsza1P3hGhHlWN2yLlW7DTJZri1+5mFS1SVVXuV8DRoMpsZE4XWrW/vWD6kYH9c1OhnZQobUOzTQP4X4p3E+LF6wGjEmA6B/78yDApNvwhUnW1wHes1UNHbO7gyGuHlond5mRYfuldchwOy1esPTZ2OKivtkklNwf/tyfaabPcR+MgeiAvWerGjqioIMx+x5a8zEZD2K/eAxExx6Eme3vL4VVDaTGRRAZ1n5o0wzD3hd/OqkRkWFYndOtx6vq18ESqrdgZlP7T+us345GMbXq0zyE+8OzMl97c0rAa+x+bTMjU2J7RK6+SkE762p4kxoXSbnpc9yL/RoIEfEk0FvHnuGtCvR7A5FqWmh+s7uqAZtAenz7aQpMym//KaxuJKWdSXIejIfrP4VVDfs1oinudBuVDS2tqWEGOv54ED8Dxg2kzmkPg2IiEDEVmj8UVDUyOD6KsHYmyYG1lnJcZJjppPaDwsp9l8Zsi+kj85/CykYOHZXS4THeDUJjICz86YPYCvRI7qXeht0mJMdEmBaaH/ha69cXqXEmfYk/WLOoOw6JePIxGQ+3Y6obW6hpcnQY/gQvA2EaMK3440HUAytF5HOgVXOqek3QpOpFpMRFmIRoflBY2cj4jP2nnU4xY839Ir+ygVn7afFGhNlIjDYJEPeHp39s2H4MRFq8yZDbFn8MxDvu14AkJdakM9gfnklyx4zffzaU1LgIM7lrP1Q3tlDT6HvhpbakuudCGNqnNQ29vx6EaRC24s9M6mdFJAIY6961UVUHzMyxlLgI1hVUh1qMXk1VQwsNLc4Oh7h6SImL5PvtFT0gVd/F0+LdX4UG7qGZJn9Qh+S7DcT+PIiEKCtDrjG4e9hvH4SIHA1sxlo+9D/AJhE5Mrhi9R7M2Oj9U9DJCq2ivhmH0xVssfos/rZ4wdyf/lBQ2UCYTVoztraHzSbukLLRpwd/Qkz3Aser6kYAERkLvIS1RkS/JyU2gupGB80OFxFhZl6hLzpa2KYtaXERqEJ5fTOD4/d//EDE3xYvWCEmEzPvmILKBoYkRmH3Y26DSUm/N/7UeOEe4wCgqpsYQKOaPLNVy83Im3bpaK3ftuyZTW302R4FlQ2E26V1He+OSI2LpKbRSoBo8E1BZaNf3hgYj6wt/hiIZSLyhIgc7X49DiwLtmC9hT1jzc1N0x6FVf658GAmH/qDp8Xrz2xezzoGZuhw++RXNvjljQEmo2sb/DEQV2DNor7G/Vrn3jcgSDUGYr8UVjaSnuCfC59i0m3sl4LKxg6z4npjxu53jNOl7K7ueOElb1LjrYR9JkOuhT+jmJqA+9yvAYdZHH7/FFQ1dJgl05tUE2LaL/mVDczMTvbrWNOA6ZjimkacLvU/xBQbSbPTRXWjg8ToARNJb5d2DYSIvKqqZ4vIaqzcS3uhqpODKlkvwbR4909eRQPTRw7y69iEqDAi7DZKjT59sqfF20kPwhgIn3RmRBhYHgRY+a2MgejYg7jW/X5STwjSW4lzL0VoPAjfOJwuCqsaGT4oxq/jRayhhMaD8E1nW7yefh8z8sY3+X7OovbgPVluVPuLIw4Y2u2DUNVC98crVXWH9wu4smfECz2tSxGaB9AnhVVWhTY82b8HEMxIkY7wtHj9yWsFexIgGn36plWfnQ2BGn0C/nVSz/Wx78RAC9KbsdamNjeML3aV1wMwPNk/DwKMPjtiV7lVoWX62eIFT7oN04Dxxa7yepJiwomP8i9cZAzE3nTUB3EFlqcwSkRWeX0VD3wTbMF6Eymx5gFsj50eA+FniAmsh3BDYU2wROrT7CirR6RzBtcMzWyfHWX1nVpMaVBMuJXi3+gT6LgP4kXgQ+AfwM1e+2tUtTyoUvUyUuIi2bjbVGi+2FVRj90mfrvwYFVoZXVNqCoiZuUub3aU1ZGRENXhQkFtSY2LZEtJbRCl6rvsKK9j2nD/BlAAhNltJMdEUGrmlQAd90FUqep2VT3P3e/QgDWaKU5ERvSYhL2AlDjrhjFjo/dlV3kDQ5M6XiioLalxEbQ4leoGRxAl65vsKK9nRIr/3gN4xu6bFm9bmh0u8isayOqsPo1H1oo/yfpOFpHNwDbgK2A7lmexX0RknohsFJFcEbnZx/eRIvKK+/slIpLl3p8iIl+KSK2IPNSZPxQMUmMjaXa4qG0yFVpbdlXUM6IT4RDYE+c1OYT2ZUdZHVmdXF86LS6KivoWmh0mAaI3eRX1uBRGdFKfqfEmv5UHf5p9dwCzgE2qmg0cC3y3vx+JiB0rA+yJwATgPBGZ0Oawi4AKVR0N/Au4y72/EbgVuMGfPxFsPGOji02rYh92ldd3qv8B9gzNLK5pDIZIfZbaJgeltc2d9iA84b2iaqNPb3a4+8c660GkJ0RRVGV0Cf4ZiBZVLQNsImJT1S+BGX787hAgV1W3qmoz8DJwaptjTgWedX9+DThWRERV61R1EZahCDmepR/NTbM3ngqtMx2qQOus691Gn3uxs8xToXWuxduqT2Mg9mKHe2GqzhrcoYnRFNU04XSZkLI/BqJSROKAr4EXROQBwJ8lwYYBu7y289z7fB6jqg6gCuh4nUUvRORSEVkmIstKSkr8/Vmn8bTQCk2Fthdb3R2jowfHdep3Rp++2VHmrtA6aXA9+vSM+TdY7CivJybC7ldWXG+GJEbhdCklJmLgl4E4FWtd6uuAj4AtwMnBFMpfVPUxVZ2hqjPS0oI37dG00HyTW2wZiAPSOmcgYiLCSIwOb11HwmDhCYmM7GSL13hkvtlRZvWPdXak3J4GjLk//Vkw6DLgFVXNZ084yB/ygeFe25nufb6OyRORMCARKOvEOXqEqHA7g2LCTQutDVtKagmzSacrNLAeQlOh7U1ucS1p8ZF+T+ryEB8VTnxkmPHI2rC5uIbJmUmd/p1nXRNzf/rnQcQDn4jIQhG5WkTS/Sz7e2CMiGS717Q+F3inzTHvAL9yfz4T+EJ76VjSIYnR5oZpw5biOkakxBDeiSGuHjISo1qXKjVYbC6qYVx6fJd+O8QY3L2ob3awq7yBsYM7r8/WkJ3R5/4NhKrerqoTgauADOArEfnMj985gKuBj4H1wKuqulZE/iIip7gPexJIEZFc4Hq8JuSJyHasFOO/FpE8HyOgepSMxCjTQmvDlpLaToeXPGQkRZuQnRcul7KpqJYx6V3T55DEKAqNPlvxhD/HdkGfSTHhRIXb2G1CTH6FmDwUA7uxQkCD/fmBqn4AfNBm35+8PjcCZ7Xz26xOyBZ0MhKjWLmrMtRi9BocThfby+o4boK/DuXeZCREUV7XTGOLs1Ozhvsr+ZUNNLQ4GdtFDyIjMYqNu4M3UKOvsanIbSCGdF6fIkJGYrTxIPBvotyVIrIA+BxrhNElA2UtCG8yEvdUaAYrB1OLU7vlQYCJ83rYVGSlcumqgRiSGE1JbRMtTjNZDix9RthtjOzkiDAPQxJMyA7864MYDvxOVSeq6m2qui7YQvVGhpiOq73YsNtToXXNQAxtjfMaNx5go9tAdDXENDQxClUzmdPDpqIaRqXFdioFjDcZScZAQAcGQkQS3B/vBnaKSLL3q2fE6z2Ysft7s7agCrtNutHiNUMzvdlcVEtGYhQJnRzB5GGImQuxF5uLart8b4J7lF11I44B7pF1ZF5fdL8vB5a535d7bQ8oPAYi3zyAAKwtqGbM4Lgu9x94VkzzrH8w0FlXUM34LsTLPXhSWm8v9WcOa/+moq6Z/MoGDsxI2P/B7TAyORanSwf8SLt2O6lV9ST3e3bPidN7yRwUg032zHYd6KwrqObwMald/n1UuJ2MxCijT6CuycHm4hrm5QzpchmZg6Kx24Qd7nQdA5lV+VUATMlM7HIZnrk928vqOp2qoz/hTyf15/7s6+9EhNnIHBTDNtNCo7imkeKaJiZ0o4UGVs6hbcZAsCa/CpfC5G5UaOF2G5mDotlu9Mkq92jDnG7oMzvV7ZENcH121AcR5e5rSBWRQV79D1nsm1NpQJCVGjvgbxiAFTsqAZg2Iqlb5WSlxpqQCLAqz2rxdmXWrzcjU2KNB4HlQYxKi+1yfw5YGYdjIuxsLx3Y+uzIg7gMq79hPHv3P7wNhHyNhlCQnRLD9tL6Ab9w0PId5USE2cgZ1vUWGkB2agwV9S1U1bcESLK+ycq8SoYmRrWmQe8qWSkxbC+rG9D3p6ryw85KpnTT2IoII1NMg7CjFeUecPc/3KCqo1Q12/2aoqoD0kCMTImltslB2QBfjnD5jgomD0skMqx7E9w8aa0HcphJVVmytZxDsrs/MDArJZaaRgflA/j+3FpaR2ltEzMDos+YAe/h+jNI2CUiSZ4Nd7jpyuCJ1HvJTnNXaAP4pmlscbImv5rpI/1f57c9Rrn1uXUAr6e8pcSq0GaN8jvLfbt40q575lQMRL7bauX6DIQ+D0iLY0d5/YCeHOuPgbhEVSs9G6paAVwSNIl6MZ5EahsKq0MsSej4bmsZzU4Xh43u+ggmD1kpsUSE2Vg/wPUJganQxmdY9+f6woFsIMpJT4jsUobhtkwYmoDTpWwuGrgNGH8MhF28Eqq7lxKNCJ5IvZeMxCiSYsJZN4ArtK83lRIZZguICx9mtzF+SPwA12cJQxOjAlKhDY6PIjUuYsAaXIfTxaLNJcw+ILXTa0D4wjOPYl1hVbfL6qv4YyA+Al4RkWNF5FjgJfe+AYeIMCEjgbUFA/MBBPhqUzGHZCcHLMHehIwE1hVUD8iO1cYWJws3l3LsgekBqdDAqtQGqoFYsbOSivoWjj2wawkk2zIyOYaYCPuA9sj8MRA3AV8AV7hfnwM3BlOo3szEoQls2F0zIKfg5xbXsKWkjjnj/Urm6xcThyZQUd8yIFOYfLullIYWZ5cz4vriwIwENhfVDsikfZ+vLyLcLhw5tvvhTwCbTRg/JJ61BcaDaBdVdanqo6p6pqqeCawD/h180XonE4cm0uxwtaYTHki8+2MhIvCTSRkBK3Oie6jsjwMwlfp7PxYSHxnGrFGBS202JTOJZqeL1fkDq1JzuZT3VhVy2AGpnV6RryMmZyaxOr+KZsfAM7jgnweBiEwTkX+6F/H5C7AhqFL1YmZkWaN3lmzrdSujBhVV5d0fCzgkK5n0hKiAlZszNJHocHtrZ+1AobbJwYdrdnPSlIxuDxf2xjNcdsnW8oCV2Rf4bmsZ+ZUNnH5QYOfwzhqVQmOLi1V5lQEtt6/Q0UzqsSLyZxHZgOUx7AJEVY9R1QHrQWQOimF4cjSLtwysCu3bLWVsLa3j7BnD939wJ4gIszEjaxCLB5iBeO/HAhpanJxxUGZAy02Lj+SAtFiWDrAGzCvLdhEXGcbxE7qez8oXrQZ328AyuB468iA2AHOAk1T1cLdRGLgDgr04bFQq320tw+kaOB2rz3y7neTYCH46OXDhJQ+zRqWwqaiWkgGyloHLpTyxaBsTMhICMp+kLbNGpfD99gqaHAPjcS2obOC9VYWcc/BwoiMCuzphcmwE49Lj+Sa3NKDl9hU6MhCnA4XAlyLyuHsEU2CGWvRxjhibSnWjg++3D4xWxZr8Kj5dV8QvZo0MyvKgR49LA+CTdbsDXnZv5OO1u8ktruXSI0cFbPSSN8dNSKe2ycGizQOjUnv0qy0AXDg7KyjlHzdhMEu2lVNWOzAaMN50lGrjLVU9FysX05fA74DBIvKIiBzfQ/L1SuaMH0xMhJ23VxaEWpSgo6rc+eEGEqLCuOjw4GR+n5CRwKi0WN79sf/rs9nh4q6PNjBmcBwnBcEbA5h9QCqJ0eG8v6owKOX3JnKLa3lxyU7OPXg4mYOCk5b7pMlDcbqUj9YOjAaMN/6MYqpT1RdV9WQgE/gBa+jrgCUmIozjJ6TzwepC6psdoRYnqLy+Ip9FuaX83/HjSIwO3OgQb0SEU6YMZcm2cnb282ykD3y+ie1l9fy/kyZ0eTnM/RERZuPEnCF8uGY3Ff04L1OL08UN//uRmAg7180dG7TzjB8Sz5jBcby8dNeAm6/TqTtUVStU9TFVPTZYAvUVzp81kqqGFl5csjPUogSNtQVV3PrWGg7OGsQvZo0M6rnOO2QE4XYbj7jDBf2Rz9YV8ciCLZwzYzhHjU0L6rkunJ1NQ4uT+Yt3BPU8oeSuDzewclcl/zh9Mqlx3cuE2xEiwkWHZ7M6v4pFA6wvIjhNmAHAwVnJHDoqhUcWbOmX2TM37q7hwqe/JykmnIfPPwi7LbjdT+kJUZwzYzivLd/VL2cCL9pcytUvrSBnWCJ/OnlC0M83bkg8xx2YzuMLt/a7ZXJVlQc+28wTi7ZxwaEjgzJwoi2nHTSMIQlR/O399QNqToQxEN3gTydPoKbRwY3/+7HfzKxWVd5emc+Zj34LwLO/OYTB8YGb99AR180dS2J0BL97eSVVDf1jjQiH08V/v9rCr55eysjkWJ769cHERra70m9A+fPJE3C6lN+9/EO/yUhaUdfMtS+v5F+fbeL0acO47eSJPXLeyDA7f/1ZDht21/D3D9YPmFBTUA2EiMwTkY0ikisiN/v4PlJEXnF/v8S9Wp3nu1vc+zeKyAnBlLOrHJiRwK0nHcjnG4q5/PkVVNb3XU+ixeniiw1FnPXoYq59eSWjB8fx+hWHMdadwbYnSI6N4P5zprK1tJbzn/iuT+fir2928NryPOY9sJB/fLiB4w4czGtXHBrUUEhbhifH8M8zJ7NsRwW/emopu/twOpPimkYe+Gwzx9y7gPdXF3LD8WO556wp2ILs2Xozd0I6Fx2ezTPfbuePb62hrql/9z+CNfEtOAVbWV83AXOBPOB74DxVXed1zJXAZFW9XETOBU5T1XNEZAJWUsBDgKHAZ8BYVW23GTRjxgxdtmxZUP7L/njmm23c8f56oiPs/PyQEcydkE7OsMSgDAkNBC6XUlTTyK7yBtYVVLFiZyULN5dQUd/CkIQorjrmAM47ZETQOlH3x5cbirn25R9oaHFyypRh/HTyEKaPSCYxJjid5N2l2eGiqLqRraV1rMmv4oedFSzKLaWxxcX4IfH87rgxnDBxSFCGtPrD2yvzuen1VajCGdMzOTFnCFOGJ3VrSc5gUt/soKCykY27a1hbUMXirWWs3FWJKhwzLo2bThzP+CHdWw+9q7hcyt2fbOSRBVtIjYvgnIOHc+yB6UzISOi1z/v+EJHlqjrD53dBNBCHArep6gnu7VsAVPUfXsd87D5msYiEAbuBNOBm72O9j2vvfKE0EADrCqp58PPNfLa+CIdLEYHMQdEMSYgiMTqCpJhwosPthNtthNvF/W4jzL6n0vCuP4R993v2KOB0KU6X4nApTpfLenda2y7V1u2GFic1jS3UNjmoabReJTVNNHuFxNITIpmZncLJU4Zy5NjUgKZ+6Cq7qxp5+Mtc3liRR12z1S4YHB9JekIUKXERJEWHExVuJzLMRkSYjcgwO2F2QRBELF2J0FopW/v2fAfgVEV1jy5VFacqThe4VHG5rG3Pe0Ozi/pmB3XNTuqbHNQ2OSitbaa0zfj4kSkxHD02jXk5GcwalRwyw+DNrvJ6Hvh8M++vKqTBHW4akhDF4IRIUuMiSYwOJzLMZr3C7UTYbdhsgs1LbzYvfdpkb126tI3O1ApXOl26z3eqVibb+mbr1dDioK7Juk+Lq5uo8WqZh9mEiUMTmDM+nZOmZHBAWlxPq84nK3ZW8MBnm1mUW4rTpdjEyrKQGhdBSlwk8ZFhRIZb92VkuI1Iuw1p1Zlbr259Shsdq7Z/b7rUMlIu7/tUlZyhiZx9cNeyHITKQJwJzFPVi93bvwRmqurVXsescR+T597eAswEbgO+U9Xn3fufBD5U1dfanONS4FKAESNGTN+xI/QjNqoaWli8pZSNu2vZUlJLaW0TlfUtVNY30+hw0eL0vDRgM7HDbILNJoTZBHvru40wmxAZbiM+Koz4yHDiosKIjwojLT6S4YNiGJ4cw+jBcQxNjOoVlZgvmhxOlm4rZ21BNbnF1mzr8rpmKuqbaXa4aHK43O9OuqtO6wEV7CLYbFjvYunWbhOiw+3ERtqJiQgjNtJOdHgYafERDEmIZkhiJMOTY5g4NDFow4EDQUOzkyXbylhXaOmzrLaZsromqhpaWvXZ1OKi0eGku1WDza1Pj6Hx6FMEosLtxETYiY4IIybC+hwXGUZ6QpT7FcnY9HjGpMf1igZLe5TXNfPd1jI27K5hR1kdZe4GQ12zw9Jji9PSaQA6tu1uPdrcerTbLF3abcK8iUO484zJXSq3IwPRM71lQUJVHwMeA8uDCLE4ACRGhzMvJ4N5Ofs/1vIArBunvYfRs1/Z+wDLENj2atX1RyLD7BwxJo0jxux/WKjLZWlJ1fNu6a1Vh222rQfOXXnZpF/r0UN0hJ2jxw3m6HH+pWxXL29AsVqsHv15f26trLyM6kAgOTaCn0zK8CvDsbr15blHXV73o+fedCl7GYFQ35vBNBD5gLfPk+ne5+uYPHeIKREo8/O3fR67TbDbem/rqK+xp1IaGJVTTyAiWFFQo9Pu4gknubdCKYrfBLMX8ntgjIhki0gEcC7wTptj3gF+5f58JvCFWjGvd4Bz3aOcsoExwNIgymowGAyGNgTNg1BVh4hcDXwM2IGnVHWtiPwFWKaq7wBPAs+JSC5QjmVEcB/3KtbiRA7gqo5GMBkMBoMh8AStk7qnEZESoDu91KnAQJpHP9D+L5j/PFAw/7lzjFRVn518/cZAdBcRWdZeT35/ZKD9XzD/eaBg/nPgMKk2DAaDweATYyAMBoPB4BNjIPbwWKgF6GEG2v8F858HCuY/BwjTB2EwGAwGnxgPwmAwGAw+MQbCYDAYDD4Z8AZif2tW9AdEZLiIfCki60RkrYhc696fLCKfishm9/ugUMsaaETELiI/iMh77u1s99ojue61SCJCLWMgEZEkEXlNRDaIyHoRObS/X2cRuc59X68RkZdEJKq/XWcReUpEit0JTj37fF5XsXjQ/d9XichBXT3vgDYQ7jUrHgZOBCYA57nXouhvOID/U9UJwCzgKvf/vBn4XFXHAJ+7t/sb1wLrvbbvAv6lqqOBCuCikEgVPB4APlLV8cAUrP/eb6+ziAwDrgFmqGoOVtaGc+l/1/kZYF6bfe1d1xOx0hONwcp2/UhXTzqgDQTWgkS5qrpVVZuBl4FTQyxTwFHVQlVd4f5cg1VpDMP6r8+6D3sW+FlIBAwSIpIJ/BR4wr0twBzAkza+X/1nEUkEjsRKYYOqNqtqJf38OmOlDIp2J/yMAQrpZ9dZVb/GSkfkTXvX9VRgvlp8BySJSJcW7h7oBmIYsMtrO8+9r9/iXtZ1GrAESFfVQvdXu4H0UMkVJO4Hfg94kvGnAJWq6lmRpr9d72ygBHjaHVZ7QkRi6cfXWVXzgXuAnViGoQpYTv++zh7au64Bq9cGuoEYUIhIHPA68DtVrfb+zp1Ft9+MeRaRk4BiVV0eall6kDDgIOARVZ0G1NEmnNQPr/MgrBZzNtbyxLHsG4rp9wTrug50AzEg1p0AEJFwLOPwgqq+4d5d5HE93e/FoZIvCMwGThGR7VihwzlY8fkkdygC+t/1zgPyVHWJe/s1LIPRn6/zccA2VS1R1RbgDaxr35+vs4f2rmvA6rWBbiD8WbOiz+OOvT8JrFfV+7y+8l6P41fA2z0tW7BQ1VtUNVNVs7Cu6xeqej7wJdbaI9D//vNuYJeIjHPvOhYrZX6/vc5YoaVZIhLjvs89/7nfXmcv2ruu7wAXuEczzQKqvEJRnWLAz6QWkZ9gxao9a1b8LbQSBR4RORxYCKxmTzz+D1j9EK8CI7BSpZ+tqm07wvo8InI0cIOqniQio7A8imTgB+AXqtoUQvECiohMxeqUjwC2AhdiNQT77XUWkduBc7BG6/0AXIwVc+8311lEXgKOxkrrXQT8GXgLH9fVbSgfwgq11QMXquqyLp13oBsIg8FgMPhmoIeYDAaDwdAOxkAYDAaDwSfGQBgMBoPBJ8ZAGAwGg8EnxkAYDAaDwSfGQBgMbRCRFBFZ6X7tFpF89+daEflPkM75OxG5wP15gYjsswC9iEwSkWeCcX6DwRdh+z/EYBhYqGoZMBVARG4DalX1nmCdzz3j9zdYs547kmu1iGSKyAhV3RkseQwGD8aDMBj8RESO9lpX4jYReVZEForIDhE5XUT+KSKrReQjd2oTRGS6iHwlIstF5ON2smrOAVZ4JZcDOEtElorIJhE5wmv/u1gzww2GoGMMhMHQdQ7AqtxPAZ4HvlTVSUAD8FO3kfg3cKaqTgeeAnzN1J+NlYHUmzBVPQT4HdasWQ/LgCMwGHoAE2IyGLrOh6raIiKrsVK1fOTevxrIAsYBOcCnVvYD7FgpqduSwd6LGoGVdA4sw5Hltb8YK2upwRB0jIEwGLpOE4CqukSkRffkrXFhPVsCrFXVQ/dTTgMQ5atswMnez2mU+3iDIeiYEJPBEDw2AmkicihYKddFZKKP49YDo/0scyywZr9HGQwBwBgIgyFIuJexPRO4S0R+BFYCh/k49EOspUL94Rjg/YAIaDDsB5PN1WDoBYjIm8DvVXVzB8dEAl8Bh7cZ8WQwBAVjIAyGXoB7kZ909+L07R0zBhimqgt6TDDDgMYYCIPBYDD4xPRBGAwGg8EnxkAYDAaDwSfGQBgMBoPBJ8ZAGAwGg8EnxkAYDAaDwSf/H+zBGxSc9QqAAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alpha_1 = 1\n", "K = 0.6\n", "n = 11\n", "gamma_1 = 0.15\n", "alpha_2 = 1\n", "gamma_2 = 0.15\n", "alpha_3 = 1\n", "gamma_3 = 0.15\n", "\n", "params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", "\n", "mf = lambda t,y : goodwin_oscillator(t,y, params)\n", "\n", "sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", "sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )\n", "activation = K**n/(sol2.y[2,:]**n+K**n)\n", "\n", "plt.figure()\n", "plt.subplot( 2, 1, 1 )\n", "plt.plot( sol2.t, sol2.y.T )\n", "plt.legend(['X','Y','Z'])\n", "plt.subplot( 2, 1, 2 )\n", "plt.plot( sol2.t, activation )\n", "plt.xlabel( 'Time (h)')\n", "plt.ylabel( \"Activation of X\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What are the effects of K on the oscillations?\n", "Plot the simulation for several values of K ranging from 0.1 to 1. " ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n = 11\n", "Ks = (0.1,0.3,0.6,1)\n", "plt.figure(figsize=(8,8))\n", "for i in range(len(Ks)):\n", " K = Ks[i]\n", " plt.subplot( len(Ks),1, i+1)\n", " params = (alpha_1,K,n,gamma_1,alpha_2,gamma_2,alpha_3,gamma_3)\n", " mf = lambda t,y : goodwin_oscillator(t,y, params)\n", " sol1 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,200), y0=(.1,.1,.1), \n", " t_eval=np.arange(0,200,.1) )\n", " sol2 = scipy.integrate.solve_ivp( fun=mf, t_span=(0,100), y0=sol1.y[:,-1], \n", " t_eval=np.arange(0,100,.1) )\n", " plt.plot( sol2.t, sol2.y.T )\n", " plt.title(\"K =\"+str(K))\n", "plt.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }