{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Classical mechanics problems" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prerequisites" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "def ode_euler_step(f, x, t, h):\n", " \"\"\"Perform a single step h using Euler's scheme.\n", "\n", " Args:\n", " f: the function that defines the ODE.\n", " x: the value of the dependent variable at the present step.\n", " t: the present value of the time variable.\n", " h: the time step\n", "\n", " Returns:\n", " xnew: the value of the dependent variable at the step t+h\n", " \"\"\"\n", " return x + h * f(x,t)\n", "\n", "def ode_rk4_step(f, x, t, h):\n", " \"\"\"Perform a single step h using 4th order Runge-Kutta method.\n", "\n", " Args:\n", " f: the function that defines the ODE.\n", " x: the value of the dependent variable at the present step.\n", " t: the present value of the time variable.\n", " h: the time step\n", "\n", " Returns:\n", " xnew: the value of the dependent variable at the step t+h\n", " \"\"\"\n", " k1 = h * f(x,t)\n", " k2 = h * f(x + k1/2., t + h /2.)\n", " k3 = h * f(x + k2/2., t + h /2.)\n", " k4 = h * f(x + k3, t + h)\n", " return x + (k1 + 2. * k2 + 2. * k3 + k4) / 6.\n", "\n", "# The default definition of the error (distance) between two state vectors \n", "# Default: the magnitude of the difference vector\n", "def distance_definition_default(x1, x2):\n", " diff = x1 - x2\n", " diffnorm = np.sqrt(np.dot(diff, diff))\n", " return diffnorm\n", "\n", "def ode_rk4_adaptive_multi(f, x0, t0, h0, tmax, delta = 1.e-6, distance_definition = distance_definition_default):\n", " \"\"\"Solve an ODE dx/dt = f(x,t) from t = t0 to t = t0 + h*steps \n", " using 4th order Runge-Kutta method with adaptive time step.\n", "\n", " Args:\n", " f: the function that defines the ODE.\n", " x0: the initial value of the dependent variable.\n", " t0: the initial value of the time variable.\n", " h0: the initial time step\n", " tmax: the maximum time\n", " delta: the desired accuracy per unit time\n", "\n", " Returns:\n", " t,x: the pair of arrays corresponding to the time and dependent variables\n", " \"\"\"\n", " \n", " ts = [t0]\n", " xs = [x0]\n", " \n", " h = h0\n", " t = t0\n", " i = 0\n", " \n", " while (t < tmax):\n", " if (t + h >= tmax):\n", " ts.append(tmax)\n", " h = tmax - t\n", " xs.append(ode_rk4_step(f, xs[i], ts[i], h))\n", " t = tmax\n", " break\n", " \n", " x1 = ode_rk4_step(f, xs[i], ts[i], h)\n", " x1 = ode_rk4_step(f, x1, ts[i] + h, h)\n", " x2 = ode_rk4_step(f, xs[i], ts[i], 2*h)\n", " \n", " diffnorm = distance_definition(x1, x2)\n", " if diffnorm == 0.: # To avoid the division by zero\n", " rho = 2.**4\n", " else:\n", " rho = 30. * h * delta / diffnorm\n", " if rho < 1.:\n", " h *= rho**(1/4.)\n", " else:\n", " if (t + 2.*h) < tmax:\n", " xs.append(x1)\n", " ts.append(t + 2*h)\n", " t += 2*h\n", " else:\n", " xs.append(ode_rk4_step(f, xs[i], ts[i], h))\n", " ts.append(t + h)\n", " t += h\n", " i += 1\n", " h = min(2.*h, h * rho**(1/4.))\n", " \n", " return ts,xs\n", "\n", "def ode_leapfrog_step(f, x, x2, t, h):\n", " \"\"\"Perform a single step h using the leapfrog method.\n", "\n", " Args:\n", " f: the function that defines the ODE.\n", " x: the value of x(t)\n", " x2: the value of x(t+h/2)\n", " t: the present value of the time variable.\n", " h: the time step\n", "\n", " Returns:\n", " xnew, xnew2: the value of the dependent variable at the steps t+h, t+3h/2\n", " \"\"\"\n", " \n", " xnew = x + h * f(x2,t+h/2.)\n", " xnew2 = x2 + h * f(xnew, t + h)\n", " return xnew, xnew2\n", "\n", "def ode_MMM_multi(f, x0, t0, H, nsteps):\n", " \"\"\"Multi-dimensional version of the modified midpoint method.\n", " \"\"\"\n", " \n", " h = H / nsteps\n", " t = np.zeros(nsteps + 1)\n", " x = np.zeros((len(t), len(x0)))\n", " x2 = np.zeros(len(x0))\n", " t = t0\n", " x = x0\n", " y = ode_euler_step(f, x0, t0, h/2.)\n", " for i in range(0, nsteps):\n", " yprev = y\n", " x, y = ode_leapfrog_step(f, x, y, t, h)\n", " t = t + h\n", " \n", " return 0.5 * (x + yprev + 0.5 * h * f(x,t))\n", "\n", "def bulirsch_stoer_step(f, x0, t0, H, delta = 1.e-6, distance_definition = distance_definition_default, maxsteps = 10):\n", " \"\"\"Use Bulirsch-Stoer method to integrate for t to t+H.\n", " \"\"\"\n", " n = 1\n", " R1 = np.empty([1,len(x0)],float)\n", " R1[0] = ode_MMM_multi(f, x0, t0, H, 1)\n", " error = 2. * H * delta\n", " while (error > H*delta or n < 2) and n < maxsteps:\n", " n += 1\n", " R2 = R1\n", " R1 = np.empty([n,len(x0)],float)\n", " R1[0] = ode_MMM_multi(f, x0, t0, H, n)\n", " for m in range(1,n):\n", " epsilon = (R1[m-1]-R2[m-1])/((n/(n-1))**(2*m)-1)\n", " R1[m] = R1[m-1] + epsilon\n", " error = distance_definition(R1[n-2],R1[n-1])\n", " \n", " if n == maxsteps:\n", " # Reached maximum number of substeps in Bulirsch-Stoer method\n", " # reducing the time step and applying the method recursively\n", " sol1 = bulirsch_stoer_step(f, x0, t0, H/2., delta, distance_definition, maxsteps)\n", " sol2 = bulirsch_stoer_step(f, sol1[-1][1], t0 + H/2., H/2., delta, distance_definition, maxsteps)\n", " return sol1 + sol2\n", " \n", " return [[t0+H, R1[n - 1]]]\n", "\n", "def bulirsch_stoer(f, x0, t0, nsteps, tmax, delta = 1.e-6, distance_definition = distance_definition_default, maxsubsteps = 10):\n", " \"\"\"Use Bulirsch-Stoer method to integrate for t to tmax using nsteps Bulirsch-Stoer steps\n", " \"\"\"\n", " H = (tmax - t0) / nsteps\n", " t = np.zeros(nsteps + 1)\n", " x = np.zeros((len(t), len(x0)))\n", " t = [t0]\n", " x = [x0]\n", " for i in range(0, nsteps):\n", " bst = bulirsch_stoer_step(f, x[-1], t[-1], H, delta, distance_definition, maxsubsteps)\n", " [t.append(el[0]) for el in bst]\n", " [x.append(el[1]) for el in bst]\n", " return t,x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Three-body problem\n", "\n", "Exercise 8.16 from M. Newman *Computational Physics*\n", "\n", "We have three stars initially at rest and interacting through gravitational force.\n", "The dimensionless parameters are the following:\n", "\n", "| Name | Mass | x | y|\n", "| ----------- | ----------- |----------- | ----------- |\n", "| Star 1 | 150. | 3 | 1 |\n", "| Star 2 | 200. | -1 | -2|\n", "| Star 3 | 250. | -1 | 1\n", "\n", "The motion is in $z = 0$ plane.\n", "The gravitation constant is taken to be $G = 1$\n", "\n", "The equations of motion are\n", "\\begin{align*}\n", "\\frac{d^2 \\mathbf{r}_1}{dt} &= G m_2 \\frac{\\mathbf{r}_2-\\mathbf{r}_1}{|\\mathbf{r}_2-\\mathbf{r}_1|^3} + G m_3 \\frac{\\mathbf{r}_3-\\mathbf{r}_1}{|\\mathbf{r}_3-\\mathbf{r}_1|^3},\\\\\n", "\\frac{d^2 \\mathbf{r}_2}{dt} &= G m_1 \\frac{\\mathbf{r}_1-\\mathbf{r}_2}{|\\mathbf{r}_1-\\mathbf{r}_2|^3} + G m_3 \\frac{\\mathbf{r}_3-\\mathbf{r}_2}{|\\mathbf{r}_3-\\mathbf{r}_2|^3},\\\\\n", "\\frac{d^2 \\mathbf{r}_3}{dt} &= G m_1 \\frac{\\mathbf{r}_1-\\mathbf{r}_3}{|\\mathbf{r}_1-\\mathbf{r}_3|^3} + G m_2 \\frac{\\mathbf{r}_2-\\mathbf{r}_3}{|\\mathbf{r}_2-\\mathbf{r}_3|^3}.\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "f_evaluations = 0\n", "\n", "def fthreebody(xin, t):\n", " global f_evaluations\n", " f_evaluations += 1\n", " \n", " x1 = xin[0]\n", " y1 = xin[1]\n", " x2 = xin[2]\n", " y2 = xin[3]\n", " x3 = xin[4]\n", " y3 = xin[5]\n", " \n", " r12 = np.sqrt((x1-x2)**2 + (y1-y2)**2)\n", " r13 = np.sqrt((x1-x3)**2 + (y1-y3)**2)\n", " r23 = np.sqrt((x2-x3)**2 + (y2-y3)**2)\n", " \n", " \n", " return np.array([xin[6],xin[7],xin[8],xin[9],xin[10],xin[11],\n", " G * m2 * (x2 - x1) / r12**3 + G * m3 * (x3 - x1) / r13**3,\n", " G * m2 * (y2 - y1) / r12**3 + G * m3 * (y3 - y1) / r13**3,\n", " G * m1 * (x1 - x2) / r12**3 + G * m3 * (x3 - x2) / r23**3,\n", " G * m1 * (y1 - y2) / r12**3 + G * m3 * (y3 - y2) / r23**3,\n", " G * m1 * (x1 - x3) / r13**3 + G * m2 * (x2 - x3) / r23**3,\n", " G * m1 * (y1 - y3) / r13**3 + G * m2 * (y2 - y3) / r23**3\n", " ]\n", " )\n", "\n", "def error_definition_threebody(x1, x2):\n", " val = 0.\n", " for i in range(0,6):\n", " val += (x1[i] - x2[i])**2\n", " return np.sqrt(val)\n", "\n", "def threebody_kinetic_energy(xin):\n", " val = 0.\n", " ms = [m1,m1,m2,m2,m3,m3]\n", " for i in range(0,6):\n", " val += ms[i] * xin[6 + i]**2 / 2.\n", " return val\n", "\n", "def threebody_potential_energy(xin):\n", " x1 = xin[0]\n", " y1 = xin[1]\n", " x2 = xin[2]\n", " y2 = xin[3]\n", " x3 = xin[4]\n", " y3 = xin[5]\n", " \n", " r12 = np.sqrt((x1-x2)**2 + (y1-y2)**2)\n", " r13 = np.sqrt((x1-x3)**2 + (y1-y3)**2)\n", " r23 = np.sqrt((x2-x3)**2 + (y2-y3)**2)\n", " return -G * m1 * m2 / r12 - G * m1 * m3 / r13 - G * m2 * m3 / r23" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from vpython import *\n", "scene = canvas() # This is needed in Jupyter notebook and lab to make programs easily rerunnable\n", "\n", "G = 1\n", "m1 = 150.\n", "m2 = 200.\n", "m3 = 250.\n", "\n", "q0 = [3., 1., -1., -2., -1., 1., 0., 0., 0., 0., 0., 0.]\n", "t0 = 0\n", "tend = 15.\n", "\n", "def calcpos(i, q):\n", " return vector(q[2*i], q[2*i+1],0.)\n", "\n", "\n", "s1 = sphere(pos=calcpos(0,q0),radius=0.1,color=color.red, make_trail=True, retain=10)\n", "s2 = sphere(pos=calcpos(1,q0),radius=0.1,color=color.green, make_trail=True, retain=10)\n", "s3 = sphere(pos=calcpos(2,q0),radius=0.1,color=color.blue, make_trail=True, retain=10)\n", "\n", "\n", "ts = [t0]\n", "qs = [q0]\n", "energies = [[threebody_kinetic_energy(q0)], \n", " [threebody_potential_energy(q0)], \n", " [threebody_kinetic_energy(q0) + threebody_potential_energy(q0)]]\n", "cq = q0\n", "eps = 1.e-6\n", "fps = 60\n", "dt = 1./fps\n", "for ct in np.arange(t0, tend, dt):\n", " #rate(fps)\n", " #sol = bulirsch_stoer(fthreebody, cq, ct, 10, ct + dt, eps, error_definition_threebody)\n", " sol = ode_rk4_adaptive_multi(fthreebody, cq, ct, 0.5 * dt, ct+dt, eps, error_definition_threebody)\n", " cq = sol[1][-1]\n", " T = threebody_kinetic_energy(cq)\n", " V = threebody_potential_energy(cq)\n", " energies[0].append(T) \n", " energies[1].append(V)\n", " energies[2].append(T+V)\n", " ts.append(ct + dt)\n", " qs.append(cq)\n", " \n", " \n", " #s1.pos = calcpos(0,cq)\n", " #s2.pos = calcpos(1,cq)\n", " #s3.pos = calcpos(2,cq)\n", " \n", "print(qs[-1])\n", "# Plot the energies\n", "import matplotlib.pyplot as plt\n", "params = {'legend.fontsize': 'large',\n", " 'axes.labelsize': 'x-large',\n", " 'axes.titlesize':'x-large',\n", " 'xtick.labelsize':'x-large',\n", " 'ytick.labelsize':'x-large',\n", " 'xtick.direction':'in',\n", " 'ytick.direction':'in',\n", " }\n", "plt.rcParams.update(params)\n", "\n", "x1s = [q[0] for q in qs]\n", "y1s = [q[1] for q in qs]\n", "plt.plot(x1s,y1s, label = 'Star 1')\n", "x2s = [q[2] for q in qs]\n", "y2s = [q[3] for q in qs]\n", "plt.plot(x2s,y2s, label = 'Star 2')\n", "x3s = [q[4] for q in qs]\n", "y3s = [q[5] for q in qs]\n", "plt.plot(x3s,y3s, label = 'Star 3')\n", "#plt.plot(ts, energies[1], label = 'potential')\n", "#plt.plot(ts, energies[2], label = 'total')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title(\"Trajectories of a three-body system\")\n", "plt.legend()\n", "plt.show()\n", "\n", "plt.plot(ts, energies[0], label = 'kinetic')\n", "plt.plot(ts, energies[1], label = 'potential')\n", "plt.plot(ts, energies[2], label = 'total')\n", "plt.xlabel('t')\n", "plt.ylabel('Energy')\n", "plt.title(\"Energy of a three-body system\")\n", "plt.legend()\n", "plt.show()\n", "\n", "# Animate\n", "cq = q0\n", "eps = 1.e-6\n", "fps = 60\n", "dt = 1./fps\n", "for ct in np.arange(t0, tend, dt):\n", " rate(fps)\n", " #sol = bulirsch_stoer(fthreebody, cq, ct, 10, ct + dt, eps, error_definition_threebody)\n", " sol = ode_rk4_adaptive_multi(fthreebody, cq, ct, 0.5 * dt, ct+dt, eps, error_definition_threebody)\n", " cq = sol[1][-1]\n", " s1.pos = calcpos(0,cq)\n", " s2.pos = calcpos(1,cq)\n", " s3.pos = calcpos(2,cq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lagrangian mechanics\n", "\n", "In Lagrangian mechanics, a classical system with $N$ degrees of freedom is characterized by generalized coordinates $\\{q_j\\}$ that obey Euler-Lagrange equations of motion:\n", "$$\n", "\\frac{d}{dt} \\left( \\frac{\\partial L}{\\partial \\dot{q}_j}\\right ) - \\frac{\\partial L}{\\partial q_j} = 0, \\qquad j = 1\\ldots N\n", "$$\n", "\n", "$L$ is the non-relativistic Lagrangian which is typically defined as the difference of kinetic and potential energies, $L = T - V$.\n", "One can rewrite these equations using chain rules:\n", "$$\n", "\\sum_{i=1}^N \\frac{\\partial^2 L}{\\partial \\dot{q}_j \\, \\partial \\dot{q}_i} \\ddot{q}_i = - \\sum_{i=1}^N \\frac{\\partial^2 L}{\\partial \\dot{q}_j \\, \\partial q_i} \\dot{q}_i -\\frac{\\partial^2 L}{\\partial \\dot{q}_j \\, \\partial t} + \\frac{\\partial L}{\\partial q_j}, \\qquad j = 1\\ldots N.\n", "$$\n", "The term $-\\frac{\\partial^2 L}{\\partial \\dot{q}_j \\, \\partial t}$ in the r.h.s. corresponds to the scenario where we have explicit time dependence of the Lagrangian.\n", "\n", "This is a system of $N$ linear equations which determines $\\ddot{q}_i$ as function of $\\{q_j\\}$ and $\\{\\dot{q}_j \\}$, i.e.\n", "$$\n", "\\ddot{q}_i = f_i(\\{q_j\\},\\{\\dot{q}_j\\},t).\n", "$$\n", "This system of 2nd-order ODE can be straightforwardly rewritten into $2N$ system of first-order ODEs \n", "\\begin{align*}\n", "\\frac{d q_i}{dt} & = \\dot{q}_i, \\\\\n", "\\frac{d \\dot{q}_i}{dt} & = f_i(\\{q_j\\},\\{\\dot{q}_j\\},t),\n", "\\end{align*}\n", "and solved using standard methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Non-linear pendulum\n", "\n", "![pendulum](pendulum.gif)\n", "\n", "The generalized coordinate of the non-linear pendulum is the displacement angle $\\theta$.\n", "One has \n", "$$\n", "x = l \\sin(\\theta), \\qquad y = -l \\cos(\\theta),\n", "$$\n", "thus the Lagrangian of a non-linear pendulum is\n", "$$\n", "L = T - V = \\frac{m l^2 \\dot{\\theta}^2}{2} - m g l \\cos(\\theta),\n", "$$\n", "and the Lagrange equations of motion read\n", "$$\n", "m l \\ddot{\\theta} = - m g l \\sin \\theta.\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "g = 9.81\n", "L = 0.1\n", "m = 1.\n", "\n", "f_evaluations = 0\n", "\n", "def fpendulum(xin, t):\n", " global f_evaluations\n", " f_evaluations += 1\n", " \n", " theta = xin[0]\n", " omega = xin[1]\n", " return np.array([omega,-g/L * np.sin(theta)])\n", "\n", "def error_definition_pendulum(x1, x2):\n", " return np.abs(x1[0] - x2[0])\n", "\n", "def pendulum_kinetic_energy(xin):\n", " theta = xin[0]\n", " omega = xin[1]\n", " return 0.5 * m * L**2 * omega**2\n", "\n", "def pendulum_potential_energy(xin):\n", " theta = xin[0]\n", " omega = xin[1]\n", " return -m * g * L * cos(theta)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from vpython import *\n", "scene = canvas() # This is needed in Jupyter notebook and lab to make programs easily rerunnable\n", "\n", "theta0 = 179. * np.pi / 180.\n", "omega0 = 0.\n", "x0 = np.array([theta0,omega0])\n", "eps = 1.e-8\n", "\n", "t0 = 0.\n", "tend = 5. # s\n", "cx = x0\n", "\n", "\n", "def calcpos(x):\n", " return vector(L*np.sin(x[0]), -L*np.cos(x[0]), 0)\n", "\n", "\n", "ts = [t0]\n", "qs = [x0]\n", "energies = [[pendulum_kinetic_energy(x0)], [pendulum_potential_energy(x0)], [pendulum_kinetic_energy(x0) + pendulum_potential_energy(x0)]]\n", "\n", "s = sphere(pos=calcpos(x0),radius=0.006,color=color.red, make_trail=True, retain=10)\n", "rod = cylinder(pos=vector(0,0,0), axis=calcpos(x0), radius=0.0015,color=color.red)\n", "fps = 30\n", "dt = 1./fps\n", "for ct in np.arange(t0, tend, dt):\n", " rate(fps)\n", " sol = bulirsch_stoer(fpendulum, cx, ct, 1, ct + dt, eps, error_definition_pendulum)\n", " #sol = ode_rk4_adaptive_multi(fpendulum, cx, ct, 0.5 * dt, ct+dt, eps, error_definition_pendulum)\n", " cx = sol[1][-1]\n", " s.pos = calcpos(cx)\n", " rod.axis = calcpos(cx)\n", " \n", " T = pendulum_kinetic_energy(cx)\n", " V = pendulum_potential_energy(cx)\n", " ts.append(ct + dt)\n", " qs.append(cx)\n", " energies[0].append(T)\n", " energies[1].append(V)\n", " energies[2].append(T+V)\n", " \n", "# Plot the energies\n", "import matplotlib.pyplot as plt\n", "params = {'legend.fontsize': 'large',\n", " 'axes.labelsize': 'x-large',\n", " 'axes.titlesize':'x-large',\n", " 'xtick.labelsize':'x-large',\n", " 'ytick.labelsize':'x-large',\n", " 'xtick.direction':'in',\n", " 'ytick.direction':'in',\n", " }\n", "plt.rcParams.update(params)\n", "\n", "plt.plot(ts, energies[0], label = 'kinetic')\n", "plt.plot(ts, energies[1], label = 'potential')\n", "plt.plot(ts, energies[2], label = 'total')\n", "plt.xlabel('t [s]')\n", "plt.ylabel('Energy [J]')\n", "plt.title(\"Energy of a non-linear pendulum\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Visualize\n", "def pendulum_plot(cx,ct):\n", " plt.xlabel(\"x [cm]\")\n", " plt.ylabel(\"y [cm]\")\n", " plt.xlim(-1.1*L*1.e2,1.1*L*1.e2)\n", " plt.ylim(-1.1*L*1.e2,1.1*L*1.e2)\n", " plt.axhline(y = 0., color = 'black', linestyle = '--')\n", " \n", " pos = calcpos(cx)*1.e2\n", " \n", " plt.plot([pos.x],[pos.y], 'o', color = 'red',label='mass')\n", " plt.plot([0.,pos.x],[0,pos.y], color = 'red',label='rod')\n", " \n", " labelrec = \"Non-linear pendulum, t = \" + \"{:.2f}\".format(ct) + \" s\"\n", " plt.title(labelrec)\n", " plt.tight_layout()\n", " \n", " return plt\n", "\n", "# Animate\n", "import os\n", "import matplotlib.animation as animation\n", "import imageio.v2 as imageio\n", "\n", "def system_animate(plotfunc, qall, tall, filename = 'pendulum.gif'):\n", " iterations = len(qall)\n", " labelgif = filename\n", "\n", " filenames = []\n", " for ind in range(0,iterations):\n", " # create file name and append it to a list\n", " filename = f'{ind}.png'\n", " filenames.append(filename)\n", "\n", " plot = plotfunc(qall[ind],tall[ind])\n", " plot.savefig(filename)\n", " plot.close()\n", " \n", " dt = tall[1] - tall[0]\n", "\n", " # build gif\n", " with imageio.get_writer(labelgif, mode='I', duration=dt*1000) as writer:\n", " for filename in filenames:\n", " image = imageio.imread(filename)\n", " writer.append_data(image)\n", "\n", " # Remove files\n", " for filename in set(filenames):\n", " os.remove(filename)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/gif": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# pendulum_plot(qs[10],ts[10]).show()\n", "system_animate(pendulum_plot, qs, ts, 'nonlinear-pendulum.gif') # TODO: Probably better migrate to FuncAnimation\n", "\n", "from IPython.display import display, Image\n", "display(Image(filename='nonlinear-pendulum.gif'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "RK4 method with adaptive time step yields similarly accurate solution\n", "Let us compare the number of function f evaluations in the two methods" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Integrating the non-linear pendulum from t = 0.0 to 10.0 s to accuracy of 1e-10 per second using Bulirsch-Stoer method needs 57168 f(x,t) evaluations\n", "Integrating the non-linear pendulum from t = 0.0 to 10.0 s to accuracy of 1e-10 per second using RK4 method needs 107452 f(x,t) evaluations\n" ] } ], "source": [ "theta0 = 179. * np.pi / 180.\n", "omega0 = 0.\n", "x0 = np.array([theta0,omega0])\n", "eps = 1.e-10\n", "\n", "t0 = 0.\n", "tend = 10. # s\n", "\n", "f_evaluations = 0\n", "sol = bulirsch_stoer(fpendulum, x0, t0, 1, tend, eps, error_definition_pendulum, 10)\n", "\n", "print(\"Integrating the non-linear pendulum from t =\", t0, \"to\",tend,\"s to accuracy of\",eps,\"per second using Bulirsch-Stoer method needs\", \n", " f_evaluations, \"f(x,t) evaluations\")\n", "\n", "f_evaluations = 0\n", "sol = ode_rk4_adaptive_multi(fpendulum, x0, t0, 0.5, tend, eps, error_definition_pendulum)\n", "\n", "print(\"Integrating the non-linear pendulum from t =\", t0, \"to\",tend,\"s to accuracy of\",eps,\"per second using RK4 method needs\", \n", " f_evaluations, \"f(x,t) evaluations\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Double pendulum\n", "\n", "![double_pendulum](double_pendulum_scheme.gif)\n", "\n", "Two degrees of freedom: the displacement angles $\\theta_1$ and $\\theta_2$.\n", "\n", "We have\n", "\\begin{align*}\n", "x_1 & = l_1 \\sin(\\theta_1), \\\\\n", "y_1 & = -l_1 \\cos(\\theta_1), \\\\\n", "x_2 & = l_1 \\sin(\\theta_1) + l_2 \\sin(\\theta_2), \\\\\n", "y_2 & = -l_1 \\cos(\\theta_1) - l_2 \\cos(\\theta_2).\n", "\\end{align*}\n", "\n", "The kinetic energy is\n", "$$\n", "T = \\frac{m_1 \\dot{x}_1^2}{2} + \\frac{m_2 \\dot{x}_2^2}{2}\n", "= \\frac{1}{2} m_1 l_1^2 \\dot{\\theta}_1 \n", "+ \\frac{1}{2} m_2 \\left[ l_1^2 \\dot{\\theta}_1^2 + l_2^2 \\dot{\\theta}_2^2 \n", "+ 2 l_1 l_2 \\dot{\\theta}_1 \\dot{\\theta_2} \\cos(\\theta_1 - \\theta_2),\n", "\\right]\n", "$$\n", "and the potential energy is\n", "$$\n", "V = m_1 g y_1 + m_2 g y_2 = -(m_1+m_2) g l_1 \\cos(\\theta_1) - m_2 g l_2 \\cos(\\theta_2).\n", "$$\n", "\n", "The Lagrange equations of motion read\n", "\\begin{align*}\n", "(m_1 + m_2) l_1 \\ddot{\\theta}_1 + m_2 l_2 \\cos(\\theta_1 - \\theta_2) \\ddot{\\theta}_2 & =\n", "-m_2 l_1 \\dot{\\theta}_2^2 \\sin(\\theta_1 - \\theta_2) - (m_1+m_2) g \\sin(\\theta_1), \\\\\n", "m_2 l_1 \\cos(\\theta_1 - \\theta_2) \\ddot{\\theta}_1 + m_2 l_2 \\ddot{\\theta}_2 & =\n", "m_2 l_1 \\dot{\\theta}_1^2 \\sin(\\theta_1 - \\theta_2) - m_2 g \\sin(\\theta_2).\n", "\\end{align*}\n", "\n", "This is a system of two linear equation for $ \\ddot{\\theta}_{1,2}$ that can be solved easily." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "g = 9.81\n", "l1 = 0.4\n", "l2 = 0.4\n", "m1 = 1.0\n", "m2 = 1.0\n", "\n", "def fdoublependulum(xin, t):\n", " global f_evaluations\n", " f_evaluations += 1\n", " \n", " theta1 = xin[0]\n", " theta2 = xin[1]\n", " omega1 = xin[2]\n", " omega2 = xin[3]\n", " a1 = (m1 + m2)*l1\n", " b1 = m2*l2*np.cos(theta1 - theta2)\n", " c1 = m2*l2*omega2*omega2*np.sin(theta1 - theta2) + (m1 + m2)*g*np.sin(theta1) # + 2.*k*l1*omega1 + k*l2*omega2*np.cos(theta1-theta2)\n", " a2 = m2*l1*np.cos(theta1 - theta2)\n", " b2 = m2*l2;\n", " c2 = -m2*l1*omega1*omega1*np.sin(theta1 - theta2) + m2*g*np.sin(theta2) # + k*l2*omega2 + k*l1*omega1*np.cos(theta1-theta2)\n", " domega1 = - ( c2/b2 - c1/b1 ) / ( a2/b2 - a1/b1 )\n", " domega2 = - ( c2/a2 - c1/a1 ) / ( b2/a2 - b1/a1 )\n", " return np.array([omega1,\n", " omega2,\n", " domega1,\n", " domega2\n", " ])\n", "\n", "def error_definition_doublependulum(x1, x2):\n", " return np.abs(np.sqrt((x1[0] - x2[0])**2 + (x1[1] - x2[1])**2))\n", "\n", "def kinetic_energy(xin):\n", " theta1 = xin[0]\n", " theta2 = xin[1]\n", " omega1 = xin[2]\n", " omega2 = xin[3]\n", " return 0.5 * m1 * l1**2 * omega1**2 + 0.5 * m2 * (l1**2 * omega1**2 + l2**2 * omega2**2 + 2.*l1*l2*omega1*omega2*np.cos(theta1-theta2))\n", "\n", "def potential_energy(xin):\n", " theta1 = xin[0]\n", " theta2 = xin[1]\n", " omega1 = xin[2]\n", " omega2 = xin[3]\n", " return -m1 * g * l1 * cos(theta1) - m2 * g * (l1 * cos(theta1) + l2 * cos(theta2))\n", "\n", "eps = 1.e-8" ] }, { "cell_type": "code", "execution_count": 13, 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WiouLUVdXh7Vr12LdunVYsWIFKisrNX3fokWL8MYbb+DFF1/Epk2bcNxxx6GjowMvvfQS5s6dizfeeIOFD1Jx5plnorKyEvX19aioqMAZZ5yha19++ctf4u2338Y///lPHHzwwTjxxBNZnaXGxkYsWrQorclcK4YOHYpzzjkHL774IqZNm8b277333kNOTg6mTZuWUa1RIj8/H0888QQWLFiAOXPmJNVZWrduHebOndujWOfs2bOxaNEi3HvvvZgyZQrOOuss5OXl4e2338a6detw1FFH4cYbb+xxXP773//i1FNPxYIFC1BaWorly5djx44dmD9/floFZO7cufjrX/+KlStX4sgjj2Q1jURRxOOPP87Crungdrvx2muv4Qc/+AFOOukkzJ49G9OmTUNubi5qa2uxatUqbN++HfX19cjNzdV0zPRs0yWXXIKvvvoKjzzyCGpqavCDH/wAI0eORGtrK3bs2IGPP/4YCxcuxGOPPaZpbDWce+65+Mc//oE333wTU6ZMwamnnopoNIpXXnkFhx56KLZt29bjM6eeeiomTJiAF154AXV1dYzM/vOf/8Spp56Kl156SdPYVVVVuPDCC7FkyRJMmzYNJ510Evx+P/7zn/9g7ty5LBnAhg0Adp0lG4MXyFI6AClpwzQt+MMPP+zxXTT1OjVtnxBC/H4/ueuuu8ghhxxC8vLySE5ODhk9ejQ58cQTyeOPP046OzvZe7OlKxMi1Wi65pprSFVVFfF4PGTChAnkj3/8I1m5ciUBQH7+85+n/ez1119PAJBFixZpOUQ9EAwGyV133UUOPPBAkpOTQ/Lz88mRRx5Jli5dqvp+I6UDurq6yE033URqamqI1+sl1dXV5Kc//Slpbm429H3vvvsuOfLII4nP5yPFxcXklFNOIRs2bMiYYv7CCy+QI488kuTn5xOv10smT55M7rzzzrQ1i958800yY8YM4vV6SWlpKVmwYAHZuXNnxtIBF110EdmwYQM55ZRTSHFxMfH5fGT27NnknXfe6fH9mc6Lffv2kV/96lfkwAMPJD6fj+Tl5ZFx48aRM888k/z9739PqomVDka2ieJf//oXOemkk0hFRQVxu91kyJAh5NBDDyU333wz2bBhQ9J7obPMAiGEhMNhcvvtt5MxY8YQj8dDRo0aRW666SYSCoXSfl9dXR1ZsGABKSkpITk5OWTmzJnk1Vdf1VU6gI69aNEiMnz4cOJ2u0lNTQ25++67STQazVg6QO0ekek3TLddNgYOBEJ05lXbsGGjT/Dkk0/i8ssvx2OPPYYrrrhC9T1z587Fp59+is2bN2PcuHG9vIU2+it27tyJMWPG4KKLLkrb3sOGDRvpYXuWbNjoZ6DNaZWora3F7373O7jd7rSZUZ9//jk++eQTHH/88TZRsmHDhg2OsD1LNmz0M5x55pmIRqOYMWMGiouLsXPnTrz11lvo7u7Gvffey2oeUfzlL39BXV0dnn32WTidzh4GXhs2bNiwYQ42WbJho5/hwgsvxPPPP4/XX38dbW1tyM/Px+GHH45rrrkGp512Wo/3//GPf0RdXR3GjRuHBx98ULUCuQ0bNmzYMA7bs2TDhg0bNmzYsJEBtmfJhg0bNmzYsGEjA2yyZMOGDRs2bNiwkQG2Z4kDRFHE3r17UVBQoNrzy4YNGzZs2LDR/0AIQSAQwLBhw9IW/AVsssQFe/fuxYgRI/p6M2zYsGHDhg0bBlBbW4vq6uq0r9tkiQNoQ9Da2tqsLQxs2LBhw4YNG/0Dfr8fI0aM6NHYOxU2WeIAGnorLCy0yZINGzZs2LAxwJDNQmMbvG3YsGHDhg0bNjLAJks2bNiwYcOGDRsZYJMlGzZs2LBhw4aNDLDJkg0bNmzYsGHDRgbYBm8bNmzYsDFoEI/HEY1G+3ozbPQx3G43nE4nt++zyZINGzZs2BjwIISgoaEBHR0dsFue2hAEAUVFRRg6dCiXYtE2WbJhw4YNGwMeHR0daG9vR0VFBfLy8uxuCvsxCCHo6upCU1MTfD4fiouLTX+nTZZs2LBhw8aABiEEjY2NKCwsRHl5eV9vjo1+AJ/Ph3A4jMbGRhQVFZkmz7bB24YNGzZsDGjE43HE43G7KLCNJBQWFrJzwyxssmTDhg0bNgY0YrEYAMDlsoMlNmTQ84GeH2ZgkyUbNmzYsDEoYPuUbCjB83ywyZINGzZs2LBhw0YG2GTJho1+irhIsL2p006DtmFjP8fixYshCAKam5vTvufiiy/G6NGjLd2OvXv3YvHixVizZk2P1+g2DlbYZGkQYtXOVjz0/hZEYmKvjfnFjlY8umwbwjHzRjobEp5dvhPH3PcRnl2+s683xYYNG/0ct956K15//XVLx9i7dy9uv/12VbJ02WWXYcWKFZaO35ew3XCDEAseXwExIUZcc+wBlo/34he78evXvgUADC/x4ZSDh1k+5v6AO95aDwBY/K/1uPjIMX28NTZs2OjPqKmp6dPxq6urUV1drfn9ta3dCEXjqKnIh8PR/xUpW1kaZNjd0s2I0rMrdiEuWh/CeW7lLvb/TQ1+y8fbX+Bzy6X6/SG7fYMNGzZkbNy4EWPHjsWsWbPQ2NioGoYTBAFXX301/v73v2PSpEnIzc3FwQcfjLfeeqvH923ZsgU//vGPUVlZCa/Xi0mTJuHhhx9mry9btgyHHnooAGDhwoUQBAGCIGDx4sUA0ofhli5diiOOOAL5+fnIz8/HtGnT8Ne//hVt3REEo3EEBsi9zVaWBhk+2ybHtJs7w1i5owWza6wt0ranLcj+v7Wx09Kx+hLbmzrx0pd1uGLuWJTkeSwdSxQJRIVXafnWZhw/pcrSMW0MTnR0R3H+UyvRGAjhirk1uOSo/UOlJIQgGO1ftgCf28nF1/PRRx/h9NNPx9y5c7F06VLk5uamfe+///1vrFq1CnfccQfy8/Nx77334vTTT8emTZswduxYAMD69esxe/ZsjBw5Evfddx+GDh2K//73v7j22mvR3NyM2267DYcccgieeeYZLFy4ELfccgtOOukkAMioJv32t7/F7373O5xxxhn4xS9+gaKiIqxbtw47d+3CYYn3ROIDw5Npk6VBhk+3JhsAt+zrtJQsdUdiaOuWVwa9SZbeWdeA51fuwv+ddTCGFuVYOhYhBJf//StsbezEzuYuPHbBDEvHa/CHEFZ4ztbUdthkyYYhrNrZim/3dAAAln6xe78hS8FoHJN/+9++3owkrL/jB8j1mJt2n3vuOVx66aW48sorcf/998PhyBwgCgaD+N///oeCggIAwCGHHIJhw4bhpZdewq9//WsAwA033ICCggJ8+umnrLDn97//fYTDYfz+97/Htddei5KSEkyZMgWAFPI7/PDDM467Y8cO3H333TjvvPPw3HPPsee///3vIxITsTERhYjGe89bawZ2GG6QYUO9dAJOGS6d8DuauywdT6kqAcCulu5eOfm3Nnbiyue+widbmvHM8h2Wj/fp1mZGBN/5rgGbGgKWjrcz5XdrDIQsHc/G4IUyhDtQQh421HHXXXfh4osvxu9//3s8+OCDWYkSABx99NGMKAHAkCFDUFlZiV27JPtEKBTC+++/j9NPPx25ubmIxWLs34knnohQKITPP/9c97a+9957iMfj+NnPftbjtbhCNQ/1M/UvHWxlaZCh0R8GABxZU451e/zYbjFZqmuXyNLEoQXY3dqN7kgcu1q6Ma4y39Jx739vM/v/FztaLR0LAF77ek/S32+t3YsJQydYNt7Olu6kv5sCYcvGsjG44Q/KBKkjuP+QJZ/bifV3/KCvNyMJSh+iETz33HMYPnw4zjnnHM2fKSsr6/Gc1+tFMCjdu1taWhCLxfDQQw/hoYceUv2OTCUL0qGpqQmAephO6aUNRQeGsmSTpUGEznAMnWGprPvhY8vw+MfbeygUvEGVpeoSH9xOB77d04FtTZ2WkiVCCFbtlAnS2roOBEJRFOS4LRuTks7Dx5bi8+2tWL/XWiP7rhZpvHGV+dja2GmTJRuG4Q/JrR5CURHhWBxel7lJeyBAEATTIa/+hnfeeQcLFizAnDlz8P7772PUqFGmv7OkpAROpxMXXHCBqgoEAGPG6A/dVlRUAADq6uowYsSIpNeUZCkmiojFRbic/TvQ1b+3zoYu7PNLoZoCrwsHJsJwdW3dltY+2pNQloYX+zC82AcAaOiwNmRU3xFCYyAMp0PAkEIv4iLByu3Wqku7E+TlxKmSb4iGO60CJUcHDS9K+tuGDb3wp6hJgZD5Plk2+gajRo3CJ598Aq/Xizlz5mDLli2mvzM3NxdHH300Vq9ejYMOOggzZ87s8Y+qU16vFwCYKpUJxx13HJxOJx599NEer6Vmacd6IWvbLGyyNIhAyVJloRcV+V7ke10QiVTPwirUJZSl4SU+VBZKF5LV/prVu9sBSKG/w8dKF/H2ZuuM5R3BKDOx/+DAoQCAvR0htHVFLBuzrVv67vFDJa9BS1dkwBghbfQvpJadSCVPNgYWqqqq8NFHH6GiogJz587FunXrTH/ngw8+iN27d2POnDlYsmQJli1bhn/961+4//77ccwxx7D31dTUwOfz4fnnn8eyZcvw5ZdfYu/evarfOXr0aNx00034+9//jrPPPhuvvfYa3n//fTz00EO4+3e3J723N0rcmIVNlgYRqF9pSGEOBEHAqDIpnXRXi3VkqaFDIkvDin2oLPAmbYdVWFPbBgCYPrKYjWml8rI7cfwqCrwYUpiDkaXScbVSXWpNkLMx5XlwJQq2tXRaR85sDF74g8lKkt9WlgY8ysvL8cEHH6Cmpgbz5s3Dl19+aer7Jk+ejK+//hpTpkzBLbfcguOOOw6XXnopXnnlFRx77LHsfbm5uXj66afR0tKC4447DoceeiieeOKJtN97xx134G9/+xt27dqF8847D6eddhqeeeYZjBg5Oul94gBo6TS4Arr7ORoSytLQwhz2+N1ePxotJBKtCXWlLM+L7rAU7rNyPADYUC9loh00vBjtQWl8K8nSzkQIblSCJE2uKsTu1m5saAhg9jhryjK0J5Sl8nwPyvO9aPCH0BgIWV4iwcbgg60sDXwsXryYFX+kKCoqwqeffsr+XrJkSY/PpesruXPnzh7PjR49Gk899VTWbTnnnHNUDeZq2wgAF1xwAS644IKk5/a0B9HSKd+zbWXJRq9CDsPlJB69Sc9bARqeKs3zoIKF4awlS7taJfIypiIPFVRZ6rRuTGq2HlWWl3iUSFNq2QSeoCS0ONfDfkcrCWF7dwQPf7gVjRaeKzb6Bj3Ikl0+wEYfI5UcDQRlySZLgwhyGE6aXCsKJNJkFXmJi4QpICV5bkVIzLoJNxITGUkZVZqLysQ+WhqGS3i+KEmi6k59hzVkKRoXmQm3NNeDinzrSehv//kd/u+/m3DJs6tsb9QgAw3Dled7kv4eiIjFRVzx9y/xlw/MG5tt9B1SydJAuOXYZGkQgSpIQ6iyZLGHyB+Msj50JbkeRlxauiKIWXT272kPQiRSvZKKAi9TlqwkEs0JrxAloVVFUtZfvUVZf+0JtU4QgEKfWzbOW/Q7bm0M4M1vJJPmuj1+PLt8pyXj2JAQiYlYunI3tjf1TrV7qiQNL5HI/kCutbR8Wwv++90+/PHdzRAHQOgmEwgh2NsetGzR1Z9ByRItFxC3lSUbvYkW5h+SVpBWKz2tCVWpwOuC2+lAWZ4HTocAQuRt4Q0aEhtZmgtBEJjq0t4dtaxEAg2JleRKx3VYsbXKEs2EK/a54XQIKE38nvR53nh9dXLBzX+trbdkHBsSbn79W9z0+rf4+T/WWD4WIYR5lKpLJJI/kMNwMVFehNUP8JBxNC6iuTOMpkDY0vIu/RGULHkSZGkgEF+bLA0iyCGxBFkqtDYMR1Pn6XgOh8CkfqtUEJrZR0NixbluuJ3WZotRskRJCw3DNQbCloSsWlOOKyVpVpGlnc3SMb1intRU85vadru9ikX4dEszXv6qDoBUTNXqorFdkThTfxlZ6gVlKZ2x2CyUIcQdTdYeO6uh7P1IiwnvL6Bkid67bbJko9cgioTJ68W5UiVrZVq9FScjNXfTSV0akxIJaybbVLKkVJes8i21pZCl8jwv3E5JQbOCiDLSmyBJxYwsWTPJ1bZJx3TmqFIcXC0VwVy2scmSsfojtjd14vt/+gjPfb7L8rFSx3hrrXqNGl6gxMjjdLBr0+rSAR3dUcz/4zLc9k/z9X9SoVwwWFlbrTcQUZClrv2snAM1dHvsMJyN3kYgFGMryGJfYlJPkIiYSCxRJRiJyJXbjFBlySqVh5qtaa0jAHJGnAXEJRITEUis+koVChozebfzD8W1diVIaC5VlqTj226RsqQ8pkdPrAQgNQ7eX/DXT3dgS2MnbnljHTbvs65BclMgjP9t2AcAWHjkaADAx1usPc405Fboc6HIJ51HVitLL67ajV0t3Xh2BX/yqVwwbB9UylLcMjWuv4EQwsgS8yzZypKN3gKtN5TnccLjkn5Wj8vBJvh9FoTFWlPCfgBQmicRF6s8S1SxoiZrAJaWD6Ak0+kQUKjoPVdVKI2/1wKTdxtTlqTxii0Mw3UEo8xQXl3iw2GjSwEAX+1q4z5Wf8Xn21vY/x/+cKtl47yzrh4xkeDgEcWsEnyzxWU2aNiqMMeNwhyprJ7VBu9mxXXImwC0JylLA5ssKZWlmCgOCMLAA8rdZGG4AbDrg5IsvfLKK7jmmmswZ84cFBYWQhAEnH/++Rk/s3z5cpx44okoLS1Fbm4uDjroIDzwwAOIxweG8Y6uuOjESlFpJZFgypKSLLkT22MNWUrN+AOAooSSZsUkIJu73XAkKmkDQFXC5N1ggck71QvGlKUu/vtHW+GU53uQ53Xh4BHFcDoE7NlPsnR2tXQlKRS7LWwN9P7GRgDACVOGMgXWyvpggKwiFfjcrNG01f4Ypa+Id5kCpbK0Y4CH4ZTKEgBEBkL+PAcoayrR7gS2Z6mPcOedd+Ivf/kL1qxZg+HDh2d9/z//+U/MnTsXH3/8MU4//XT87Gc/QyQSwfXXX69aqbQ/gq64qNROwTKpLFB6Uo3Iyv+3WjBeXCQs1EbT6QF5n60lS8kktCyhoLVaQGBSvWd07EA4xt1QTsnSiERYM8/rwqQqqR/dlzsHv7r02VZJVaLeiWaLyEt3JIbl26Sxjp1YyULkgVAMoah1CzIWhstxoSChLHVa7I/ZowhNt3TxPZ7K+1jrAG7/Qwhh5IiGoqLx/k8YeICSJYcgsAWo7VnqI9x///3YvHkz/H6/asdjJfx+Py677DI4nU4sW7YMTz31FP7v//4Pa9aswRFHHIFXXnkFL774Yi9tuXG0M7N1MlmykrxQ9ahUGYbLtW68lq4wRAI4BLk8AiD5MQCLyVJeMlliCpoF+0n3g4b9Cn1uCAlRq52zyZuau0eUyB6wmaOkUNzXuwc/WdraKKkTR0+sACD5iqzwjqzY1oJITER1iQ/jKvNR5JOzOK24ViioslTocyPfmyBLFitLOxThMd77plSsuyLxARu6iomEnWd5HicAIBrbT5SlxG46BAFOwVaW+hRHH300DjjgAAiCkPW9L7/8Mpqbm3Huuedi5syZ7PmcnBzceeedAIBHHnnEsm3lhXZWmyd5UrfSHKwMUVGUWkjOaDmC8nwvW40BsNS42ppSu4qCkVALjqtsypX2y+kQ2D7y/h2pl61K0XNu6nApI279XusaBfcXbE0Uhpw1pgwAEIqK6IrwV3qoB2x2TRkEQYAgCEydtErNAuTMt8IcN/ISZKkrErNscgpF49jboVSW+J6vqYuFgZpyr1RXqMe0N8NwS5cuxQMPPKDpvWYXD+vXr8fixYtZPzq27w7gJ5ddghOOOAhxQnSPc/HFF2P06NGmtk0PBiVZ0oMPP/wQAHD88cf3eG3u3LnIzc3FihUrEA5b6y0wi/aU0A0FU3osMgcD8qQOwNICinLvO2/S81SB6VVlKde68KZsypX7XJdYpNj5VX7DycMKAQDr6/19kqGzscGP4x/4GP/9rsHysbYllKWp1UVshW9FVuWa2nYAwLQRJey5soRvyVKyFJSz4WgYjhCg26LQX21rN5SnDO/rI/W+EuiFApuBUBTBCF9SplRX3CwM17/IEiEE25s6saWx01RHhvXr1+P222/vSZYEAbfeciv+9ORzSc/3V+z3ZGnTpk0AgAMOOKDHay6XC2PGjEEsFsP27duzfpff70/615sEq71bnSyVMPJihbdGuoEofVJMcbHAT0BrGg0pyEl6nilLFngxWlVM7EDvKkuA/Lvy/h0pwVT+hjUV+fA4HQiEYqizsFlwOix6ZS02NgRwxd+/snScYCTO/DU1FfkoL7BG6YmLBGvrOgAA00YUs+epb6nZQu+N7Flyw+tyMEOtVb6lVKLJU1kKRePoTqh+VI0JWOy/2ucPYUdzF7Y3d3GdzJXqSl+QJS2Ixgk6w7GEWsgv65eKmg5BwLhxNZg85WAA/b8/3H5Pljo6pJtYUVGR6uv0+fb29qzfNWLECBQVFbF/99xzD7ftzIb0YThrFBBlGwXlREvDVYFwLCk1lgdkZSmZLBVaGIZLq9hZaJxXO670d+QdhlMjSx6XAwcMyQcgqUu9Dat67qWCFjUsyXWjNM9jWXHTbU2d6AzH4HM7MT5xXAElWbJSWUqolD43BEFAfo61vqXUVio8lVC6IHQ6BAxLhI0zkiVCgEiX4X/hLj8aW1ohRLshhrvQ3ek39X2IdIHKbklhuIR3LRJLT8YWL14MQRCwevVqnHHGGSgsLERRURHOP/98NDXJBWRFUcS9996LiRMnwuv1orKyEhdeeCHq6urYe+bPn49///vf2LVrFwsJKy0rkUgEd955J6YcOAkza4Zg/sHjcM2VP0F9w76kbRo9ejROPvlkvPPOOzjkkEPg8/kwceJEPP300+w9S5Yswdlnnw1AsscIgoDiXA/++dJSOARg4cKFOP6IqUnH5OGHH8bcuXNRWVmJvLw8TJ06Fffeey+i0b5t0+PK/pb9GzQMocX/VFtbi8LCQva31+vN8G6+aOtlZSkUFVmMXTnRFua44RCk1UN7d6QHsTED6q8ZkhKGs9KzFAglm60pGHkJRhEXCZyO7OeHFogiYUUwlWP2prIEAJOrCvHdXj++2+tnNYF6C5wOZVZQc/e4SonAWEVe1u2RFmRThxclee1o+YDmQG8oS9KtPs/jQnt31DqylFIqgCtZCso9E2kZhIxhuGg3cPcww+N5AUw1/Ok0uGkv4MlLUleoshQTRYiEwJFhrjn99NPxox/9CFdeeSW+++473HrrrVi/fj1WrlwJt9uNq666Ck888QSuvvpqnHzyydi5cyduvfVWLFu2DF9//TXKy8vxyCOP4PLLL8e2bdvw+uuvJ32/KIo49dRT8cknn+Cqa6/HAVNnYO+eWjx63+9x7DHH4KuvvoTPJ9e4++abb/CLX/wCv/71rzFkyBD89a9/xaWXXopx48Zh7ty5OOmkk3D33XfjpptuwsMPP4xDDjkEHcEIvKXDFPtJay1JB2Xbtm348Y9/jDFjxsDj8eCbb77BXXfdhY0bNyYRsd7Gfk+WqHJEFaZU+P3+pPdlQmFhYRJZ6k3ICoi6wZu3AkJvwk6HwLJsAKm6dUmuBy1dEbR08SVLtCEwLUJJoSwdQAjRRGy1goYrCnKSLxVKXgiRxi1N8TQZHi8SY56PAhXPEm9lSc2zBIApS1b3LlODAPn3C4SibGLkjW2J+ko1FdK+WlUJnmaHjVOoSoBMznin1yuRGtK1unxAqrLEMwynvBYLLFbIrIasLEn3UEEQQAhBLE7gcaW/f51xxhm49957AQDHHXcchgwZgvPOOw8vvfQSZsyYgSeeeAI//elP8dBDD7HPTJ8+HbNmzcL999+Pu+66C5MnT0ZxcTG8Xi8OP/zwpO9/6aWX8M477+DVV1/FtDnHseM7YdIU/PjkY7BkyRJcddVV7P3Nzc347LPPMHLkSACSz/f999/H0qVLMXfuXFRUVDCLy+TJk3H44YejKRBGfUeQkSW6tzTp4E9/+pN8nEQRc+bMQVlZGRYuXIj77rsPJSWy7683sd+TpQkTJuDLL7/E5s2bMWPGjKTXYrEYduzYAZfLhbFjx/bRFmpDIJi8gqRQNmHlSSQ6FOOlfmdpnkSWeBM0OTMtxeCdKB0QEwm6I3GW9cMDVObPTzmubqcDhTku+EMxtHZFuJGljoRy5HU5kON2sucZ6eVNlkI9fWeAXEqAlhboLRBCmIIASDV7Jg61iixJyhIlS1YpS7To5djyvKTnywt6w+CdrFLK5QOsCWlQ8j282Ic97UG0ciSCVHHN88pkKaNP0Z0rKTkGIIoE6xsCIIRgVGkudrV2Q4CAA4cVmLuHunPZ9wOSsiQIAtwOAZE4QSwuMj+WGs4777ykv3/0ox/hoosuwocffsgW9hdffHHSew477DBMmjQJ77//Pu66666Mm/fWW2+huLgYJ598MjY0BBAXpTljwoFTMWTIUCxbtiyJLE2bNo0RJUDKIh8/fjx27Urf6oYoiCIAxpao2rZ69Wrcdttt+Oyzz9Da2pr02c2bN2PWrFkZ98Eq7Pdk6ZhjjsHzzz+Pd955B+eee27Sax9//DG6u7sxd+7cXg2pGYGfrbrUw3DhmIhgNI5cD5+fPF34RjmmVWnDJSmhRp/bCbdTQDRO4A9FuZIlurJSUzdK8zzwh2JcCYyauRuwppluLC6y/Uv9HasTZKm3Dd7t3VGEorLXbU9bEBOHWqPW0ky4mkqJxFDy0sQ5LEbbcoxJIUty+Ng6daRHGI6RJWuy4eh9aHR5Lva0B9HGsWhrV+Jczfe6tIXhBAHw5KV/PQO6wzGIrhjcTgfyCwtAAgABEHflJoVSjYISAxq+dzkdiMRFRLOUdBg6NDkk7nK5UFZWhpaWFrS0SEVPq6qqenxu2LBhGQkMxb59+9De3p52vmtuTu5lWFZW1uM9Xq8XwWD6+4Zsbk8mnXFCsHv3bsyZMwcTJkzAgw8+iNGjRyMnJwdffPEFfvazn2X8Xqux35Ols846C7/61a/w4osv4pprrmG1lkKhEG655RYASGLS/RV0pZgaLsrzOOFJXIht3VF+ZKlbfVIHrKuo3apSBBOQ/GSFOW60dEXQEYwm9Y0zCzrZ5KsQsJI8D3a2dHP1ZaiVDQCsCcMpV+Wp440olY5hUyCMUDSepHJZiT0pjYlT/+aFuEgYiaHKEp2AuziGdkSRsLYcYyuSw3BWtx9RJmHQ65QZvC1Kuafj0Wuwi2PKPQ3D5SuUJauy4WipgFyPkxVPjBOCuEjg4nApiCnqCs1SzJai39DQkNSVIhaLoaWlBWVlZYy41NfXo7q6Oulze/fuRXl5edbtKi8vR1lZGd7411uobQ3C5RTgc7sQCEVRnu/FyKE9yZFeyH6tlOdFgjfeeANdXV147bXXMGrUKPbamjVrTI9rFoOSLL3xxht44403AEgnFwCsWLGCyZPl5eX44x//CEDyGT355JM466yzMH/+fJxzzjkoLS3Fm2++iU2bNuGss87CggUL+mI3NCMaF9lqPJUsCYKAkjw39vnDaOuKYHgxHyKRSVmygizFRcK+L7XmER2zpSvCdZVOCGETWSqZAKyptUTJWepxLWE99/gdU3o8872uHqvlokTF586wVD6AmqCtxt5UsmSRsrWnLYhITAp5UBWN1lniOcE3+EMIRUW4HAKqS5KvPUrAraoV1BWJs4mJhuEKLK7iTc/fYYn7DE/iSbc5P0ejsmQCtESBL3FOOJ0C4jGCmEjAI8agzIYDAFciIy6WRVl6/vnnk+wiL730EmKxGObPn49DDz0UAPDcc8+x/wPAqlWrsGHDBtx8883suXTqz8knn4wXX3wRoUgMBx48HXkeF3weJ5o7w6gs8GKogYUoVanoeMoQJKDwLBE5kUqpbBFC8OSTT+oelzcGJVlas2YNnn322aTntm/fzmoljRo1ipElADjttNPw0Ucf4a677sKrr76KUCiEcePG4U9/+hOuvfZaroZhK6A0a6oqILke7POHuSogagUpKazITpPM29L/i1XGLLCAoHVF4mzMVM8SYE1oLJ3h2hJlKY3PDZBuWtUlPmxsCKC2rbvXyFJq2QCryghQv9LY8jwWCmEVrjlO8NTcPbI0l2U9UVitjtDf1+0UkOOWxmYEzeJsOJraH40ThGNxeDnIMZ1KzxIlfRYdO0qWct3SOC6HAxGIWcmMVjDCkDj3tNZaeu211+ByufD973+fZcMdfPDB+NGPfgSPx4PLL78cDz30EBwOB0444QSWDTdixAhcf/317HumTp2K1157DY8++ihmzJgBh8OBmTNn4pxzzsHzzz+PH51+Ks655AocMesw+LxebNy2E2tXfYZzzz4Tp59+uq59nTJlCgDgiSeeQEFBAdpDQOGQYagqSu7bKhKC73//+/B4PDj33HOxaNEihEIhPProo2hr6/vWS4OSLC1evBiLFy/W9ZkjjzwS//nPf6zZIItBb7a5HqdqPF0u2shflegtZYkSvcKcniqIVWPSG7HTIcCnEoaixnKex1XZnkIJmSzxy/jLRHgBybe0sSHQq74l6v/KcTsQioosy5M3Us3dgJRWDwBdHP08tFHxyLLcHq8VeKXjHo6JTOXiCWVBSnq+WEEI1cYcqmif0xmKwZtvnizRbS6wOAwXjYuIxkUIkJUlGiaLi3xqx6WGouQwXGYy9tprr2Hx4sV49NFHIQgCfvjDH+KBBx6AxyPdHx599FHU1NTgqaeewsMPP4yioiIcf/zxuOeee5L8Rddddx2+++473HTTTejo6ABJtBtxOp148803cfs9/4eXX1yKZx6+H06XC5VDh+GII4/C1Kn6iymMGTMGDzzwAB588EHMnz8f8Xgcd9z3MA684tLkYyISTJw4Ea+++ipuueUWnHHGGSgrK8OPf/xj3HDDDTjhhBN0j80Tg5Is7W/I5KsB5MmQJ5HobbJEFRW1EBwgqyM8ZfmA4riqkRMrQgHK9hRK0FIFsUQdplQyZQSZfkNA9i3VtfZeRhxVJkaU5GJLYyc6LKiQDijJkmwAzvNaE4YDgKEqJTToeICkmpS6+GRUUigLUlJYXjqAhspzPfC5nQhG4+gKx1HGQZjsVDV4898Pqip53U6mOjo1khmt6BmGo7WWMn//yJEj8eabb6Z93eFwYNGiRVi0aFHG7ykpKcHLL7+s+prL5cLCK6/B2QuvQnVJLgRBIv35XleS7462L0nFsmXLejx33XXX4brrrgMAbE8UaXUKApYsWYJ9/hD2+UOIJ47JySefjJNPPrnHd6S2XlqyZEnGfeSN/b6C92CAnLGVhizl8M+6UasyTWGlslSSqz6hWLHSDGQ9rvzHlEsyJB/XHLeTqVvtnDKMspGlIYkJvsnC1PZUUOI/slRSYqxSlrayTDj55p+vUF149cSjVeeHqJAll9OB3IRyYQV5UQuz5lvuWZIJGu9q4TSDL7l0AP/zo5uauxVqslZPkVbEU3w7bqc2g3dvgYYDPS4HnAJV1XgRRemRLkDpMbCotzM32GRpEECuBaQ+6VkRLuptZaktTSYchRUqT0CRfaMGmYTyDMOlD43xrrWUjSxZ2Sw4HeixHEHJkgU9DYGeBSkBIDfxO4sESeULzKAh4blShqWUoOeWFZO+2rmUZyFZUpaiKMxxyeSTk1JHM/jyLS5KGaTmboXyJ4fh+MzolIs7HPT7E54lkfRJ82olCCGIJBQ0j1Ngqho/spScCUgfxX7OlmyyNAgQCPVcQSphheFa6YdIhRVhv3TtXCisyPLpTOMfYmNaoCylFhFUolhRYJQHAqGeYRol5GbBvdeTKVVZ8oei3G7SFK1dEaZUjlWE4ZRKAq8JviHRokctDAfA0knfr6JSWtkbTvmdBTluFmbkpZpRL5mVpQMIIYwsUXM3ADgd2sJkWhFPkw1HEuUJUrF48WIQQjSl/5tFLEHYBEjqJ2+imBqCpGSMZ6NiK2CTpUEAzWE4KyZ1X88xLVGWEpNbaZYwHM99DChWsupj8vdNpCsdACjLB/AhSzTckK6IZykdrxeVJXosqbJECP/08O0Jv9LwYl9S3TGHQ2BhMV4G6ExhOEBWg63w3sghMXkfrcwio/cEn9sJj8vBDPO8iFlAxbPUyTFkCkiKYjzRn41mEALa6yBpBUkhDA5BVnB4ETKjoCE4l9ORtF1xQrgQGuqRd/QIw9lkyYbFyBousoC80AlMrbI1negDoRi31QjzLKUJw1kx6WQjoVb4JtIZvAGFssTJs0RX6rS+UCpK+iIMlziWpXketl28Q3FbGmmRyJ7VneVsMfMZceFYnJ236cJwsiJqQRiul5UlOewnjUGvD17Ekx4jpWcpnmhxxAvKMZRJHbzVFeoTVzbNdVP1qo99S9TETn1UyibhPPZfruAt/U2/vp/YtdLCJkuDAJQgpGs4SsNzPMNw8pjplSXpfXzGzBqGsyAbzq+RhHI1lWcI/VHPEq9aS8zImlZZkshSIBxDJNY7dzKqThT5XIwc8jZ5b6yXemhNHFrQ4zWehSkbEyE4j8vRo0UPhZXZaaqeJc5qT9J4KeSMtz+KEtiCHBd8ikw1K66/1GveydngTcRk3w4gh+KytTyxGlRZorWfBEHgpv4QhTrFlCU7DGejtyCrPFk8S5yIhCgSdEbSkyWPy8Eyt3ipWXTFl80/xHPS6cxCQpV+E14rznRFKQGg2CeRB37HNBGGS6MsFea42c2cZzHMdBBFovDfuS1rm7M+QZYmD+vZc45nHaIGFoLzpq2LJRu8rQuLKb2M9JwNRcWsBRB1j5dCzniTJXo9UtVHvv743deoSpV6X3MqyILZsB8hRPYsKdgSKx/QxxKLMgxHwciSyU1THjo7DGej16E1DMerdEBnJMZO+nTkhfdEp2x1oAZa4I/vKjMzCVU+z2NCiCdqKAHqZn3ex5RVKU7TL9DhEFgorrUXyFJXJCa35/C5mYrIk6iJIsGG+gAAYFKVClniWJhyX4YaSxRW9ofLlA0H8C9MmUrO8jkSz3AsjkhiEqffy5to+kNRiITA7XTAm1IgVElqzKsriu9VhuFY+YC+VpaSw3CAHDIzu+/Kz9ND6lQQsb7OBMwEmywNAsjpuulKB8jZcDxORkpIPE5H2gardKLjRpaoypOGEFoRhsvmWfK6nKzqMo8Qp3Lb1dQs6gXhdUzpJKYsjpgKlhHXC74lv+K88roc3M8hAKhrC6IzHIPH6UgqG0DBszAl9XqV5aXvJpZvwXlLoZaxqiQCvAlaKjmTazqZJ55K8kq/l3eCRUunXJ4kVQkUAAjgo66oEQYguXxAXyI1DAfwU3+UIThWZykxDAFB/6VKNlkaFMiWtUVXepG4iDAH7wklBulIBMDfVK7sC6UGZiaNxLmFxLIpdoA8EfG4YadmE6Wit5UlQFlryfryAUpzuyAIKPLJLV54YX19BwDggCH5PXq1AbJ/i4caQn12NItRDb2RnZaaLGBVuYJ0niUex5J+h9KrxHOB1B2JoSsSgwBBtZabIAhsUo9bQBgAReHLPg/DJZQlhxpZMvfdcpsXhWql+H9/rrVkk6VBgExma0Ca7OkKho8Cknk8wMIwXBriks85JAYoK3inn+x4tlnJVDYA4E9A5dIBmZQlaczeCMOlTrb0OPAkS6tr2wEAU4YVqb6enyCOPDKsaImH4jTlLgBrm+mmq4WWbxFBSy1VkE/rLHG4HuXCu/J1zrOCflNAMuMX5bpVSTTAU11J/j4Kd+ImHVUJwy1fvhyLFy9Ge3u7oTGXLl2KBx54IOv7CCEKZUlJaIBLzz4ZJx33PUPjU6QWpAT4GsithE2WBgGyZcMJgiCH4jhM6pnKBlDwJEvRuMgqKmsJifEKaSh7w6UDz/pOmcoGAMpjyje7KC+TspTXe+UD6DEsSOwn8ywF+Y391U6pe/mM0SWqr+dynOApyUuXCQcownCcVR5CSNpkAavGtDIbjoZFldci83uZvPaiMZHdpyoL0odMZW+NuQmdtTpJmX3l/nA9laXly5fj9ttvt5wsiYpsNSVppGqe2UCZKMqqmhIDoeWJTZYGAbRM6vQGxmOi7W1lSSnjpwvDAfx7tXVq2E+5fAA/ZSmbaZ6H9ywuEgSjcq+tdGAG714gS6mV6IvpOcRJWQrH4li7RwrDzRylTpboNdTNJQynRVniM+GnoisSl83yKeeTbGLvHc8Sj3E6VULi9P9mrz16HeS4nWk9mIAyxd3UcD0KUlIoazn1VTiKqlpOh5Bkak/dVqNgqloK82Ahzn7MlmyyNMBBCEnqx5QOrD8cRyNyukkd4NtihZKfHLcjrUQO8M8s0kIKeYZR1LrEK0GPKQ/vGZ0gALCq1ZnG5FmjKx1SlRBZWeIz9ro9HYjERJTleTCmvGdBSkD2b/EwJTPPUgayxCZ8zkUp6bF0O5MrUQPW1XZKbdXDlSypJCPwUnXpteDLQJQARQ8zswuVNGE4p0P2MCnVpcWLF+PGG28EAIwZMwZCwuu0bNkyiKKIe++9FxMnToTX60VlZSUuvPBC1NXVsc/Pnz8f//73v7Fr1y72WaVX6vbbb8esWbNQWlqKyrISLDhhHt74x3NJCzK672apDD12qQb6gRCGSz8L2BgQ6FasIDOFxWhqPQ8i4e9tZUlFglcDr5UmIJks6U1Uy3HlMWZHMFlZSUW+1wWnQ0BcJOgIRjOugrOBTmBOh9AjTVoJuu9W1AFKBfO8MM8SNXjzUbVW724HAEwfWZKh7hG/dic0dJkpDGcZcVEsaFL3NZ9jeEx1zMTCjGcYTvYsyscyWzYcIQTBWDDrd7cHuxGKR0EEIJOIGYmHEIpH0RkBPG5j++Rz+VR9O4BEINwOAZE4QSxOQKPjl112GVpbW/HQQw/htddeQ1VVFQBg8uTJuOqqq/DEE0/g6quvxsknn4ydO3fi1ltvxbJly/D111+jvLwcjzzyCC6//HJs27YNr7/+eo9t2rlzJ6644gqMHDkS/lAUH3z0Ge68+UbEAy347W9/K20rJ7ZE5yrnAAzD2WRpgIPeKJyOnitIJXjeuLJ5pAC+ZElNglcDT5VHeZwyjZvHMT1arS6OEoIgoDDHhbbuKDqC0bT9xrSAkoFcjzMtcZC2hX9Ll3Twp5BF3qUD1tZJIbhpI9TN3YCsLHEpHaDT4E0Iyfhb6EEmldKqliepniWepEy+B/RUltIVpQzGgpi1dJbpsXli5Y9XQhSlfVALbbmcDkTiYlL5gOrqaowcORIAMH36dIwePRoAsHHjRjzxxBP46U9/ioceeoi9f/r06Zg1axbuv/9+3HXXXZg8eTKKi4vh9Xpx+OGH9xjzmWeeYf+vb+/G6CmHIsftwJ///GfceuutSQZsfspS8vNMtevHbMkOww1w0BtFQY4r442W5wrWn6VYI8CXLLEGmhnGU24PD7JEv8Prcqim8VPwVCLUenmlgtdxpdlemczdgDXNgtMhlSzKRSn51Adbl/ArTRmeiSxJv2fQZDZcLC6yY5bR4J0gFDGRcCnrQUHPD7VrNM/ybLhkshSKiqbT4dWK0lqZSWglZN+OClnS0bD3ww8/BABcfPHFSc8fdthhmDRpEt5//31N2/PBBx/ge9/7HoqKijCsJA8zxlTgvnt+h5aWFjQ2NkrbyofD92h1QuEcAC1PbGVpgENLSAxQeiN6x+DNM81du7LEb2LXso8A31oy9LdMVzpA+ZpZ0zNTljKUDQD4lkbIhtQK0LS9S0wk6IrEs/7+mRAIRbG9uQsAMDUTWaIGb5NkSemzyvR75nlcEASpqnMgFDMVWlWCXndqqlaBBWG4uNjTO5lULTwSR5HP+NpcPQyXmSz5XD6s/PHKjN8bionY2hiAy+FQ7RWoRIM/hObOMMrzvGkbI2eDz+VDgEhlCtQIiFtHf7iWlhYAYGE5JYYNG4Zdu3Zl/Y4vvvgCxx13HObPn48nn3wSjvwyRIkDX370X/zp//6AYDCY2NaEsmS2bEKCA6YSRfr9ZmtYWQmbLA1wyIUT09+QAYX0zoVI6FBAOGQydYW1kSWeniW5enfm48ozvJmtdID0Wt8oS71i8E5RlnLckqoXSaR2myFL6/ZI/eCGF/tQlp8+PZwqS90mw3DUZ1Xkcyf12EqFwyEg3+NCIBxDIBRFRYbUdSPjF6uF4TgunCiU9xV6znhcDngSYaXOcCwjacwG+R6gDMNl9gsKgoBcd27G7xXjUeQ4Y8hxObO+N8/tQKfTAY/Tk/W9GcdMo64A+vrDlZWVAQDq6+tRXV2d9NrevXtRXl6e9TtefPFFuN1uvPXWW8jJycHmfQGEonF8/cm7Se9TU8GMIJ1fi2Ua9m09zoyww3ADHFrS2wGlf6B3i1IGwjHTcehsBSkpeJYO0FKOQfk6D49LttIBAL8wHN3eTJlwgEzcOjn8jtmQuv+CILDJ3qzJe/M+qR+cWvNcJWhGlFllqU1DjSUKKzxE9PxQIyg81VAK+tulVp/P4xSmDqjcA3iE4WKJc9rpzE4GuFWxpuqKGlliYbjkQbxeiURTpQcAjjnmGADAc889l/TeVatWYcOGDTj22GOTPq/8LIUgCHC5XHA6nYlxRYSCQfzjhaVJ7+PtWepZZyn59f4ImywNcLACkRrNzzwahAayGJEB+SZNwwvmxtPqWeKX8ZetLxwFV4N3ltIBAEfPUmJ7sxNQaTyR8CGEmaDWnoOXQlnfITW1HV7sy/g++nua9SzRTLhM5m4KK7w3tCBmsQpZsyIDryONKsqLCMp9DJUVvOWwu9HwECVLLg3KCWsma5ItMcKgMvu60xSmnDp1KgDgwQcfxIoVK/Dll19i2LBhuPzyy/HQQw/h+uuvx7vvvosnnngCJ598MkaMGIHrr78+6fONjY149NFH8cUXX+DLL78EAJx00kno7OzEj3/8Y/z3v+/iX6+/goVnnogcb7LCyQ6PBe1OAEXBz35Mluww3ACHVm9Nb3uWPC4HfG4ngtE4OoJRFGlYYaeDml9BDTybkvo1+qR4rZwBZekA68lSJ/MsZd4/ryKUEgjFsoYlzUAtvMur1lJDh7SqrsriNaFKW1fEXHZaqtk5E+TwMUeylEFZyvfKJIMX0qmivApgqino9P+RuIiIQXM8VXAyhUopeE3omcNw6i1P5s+fj9/85jd49tln8eSTT0IURXz44Yd49NFHUVNTg6eeegoPP/wwioqKcPzxx+Oee+5hYToAuO666/Ddd9/hpptuQkdHBwghIITgmGOOwdNPP40//OEPOPXUU1AxpApn/vgiTB03Apdddhn7PDdlSUwThuNUHd1K2GRpgENL/zJAmQHDMwyXecwin5uRJTPQGmrk2XqkU+M+8iy8l1qnRg2sbY1pz1JipZ4lDCcIAgpyXGjpisAfimIYMiszRkEIUSUYvJrpNvglZSmbMdeXOB4iAcIx0bDhulOj4gsA+ZyLqQJZDN4WmPapKph6jfLqQ6fWSDvPI/W8FAnQaVD1pAqOJmXJ4t5w0nZQZYn0IOt333037r777h6fWbRoERYtWpRxzJKSErz88suqry1cuBALFy5EIBTFjuYu5LicGD+0AJdeeil7j8Mh4KmX32LbZxSyqpYShuNUHd1K2GG4AQ7mrclGJDgZkZVZL9nICzcVROPEzrN1REBDeQSAn8E7GheZT0ZTNpxpz5I0Vm4WgzegbOliXRiuOxJnrQ7UlSVznqV9fikDKVttqlwFOTITiqPHV4sp3Qry0pHB4G3F75muRhiv60PNt+hwCKaveaYs6SBLJqsgMPVEzSblcgoQIC0eYr3MHFgDXZVSKbw8RemIIv3+/pwNZ5OlAQ7NBm9OPoXkrJdeIkvMs5RZ5WGTDgcTu1ZCqFSWzKTVKieuTBMsP89Sz/YR6cAUOwsz4uhkm9qeg0d/OEII6jWG4VxOua6WGY+WmhKSDgWc1Bcl2oPpPUssESIc49aLK12NsPwcPspruiSPApPfHzfiWeIVhlMZ0yEILCQY5Vh3SwsicdpAV327AGnbzdzn0mbDDYAwnE2WBji0hsR4eZbopOZxOeB1acukMrti1poNV8DR+xHQ7FmSXhdJcr81vaCTTb7XldE/0SfKUi8UplT2FVOGHpSFKc18dygqTTxaqp7zKEypVnE6HQpy+FybStDjpaZSKu8VvAiaHEJNCcOxiujGjyUhRC4dkLJ4KWQhTGPfL2fDZZ8KeyMMBwCexLZEzEpYOkHJmUflWCjbk5jhM9mLUhr/bqthk6UBDqqiZPNGKFd4PBSQTCZkCrmvWG95lsxnx1BoJaHKsI2ZUINskO0dtY55lvQoSxYWpkxXFb4o4bkxE4ar90uqUnGuW5MHKY/DBJ9uclcDb8O1KBJ2PNUSKzwuB1PveP2m6ZSlPA4LmHBMZIZn3sqSHs+SU1ELyAp1hYKGwXqdLGUIwym5jRmyKBPF5Oft0gE2LIdmIuGVU8DNKCABjZO6cpvMTgJaQxp0vLhImJJgFFq9YA6HwLxUZsoyyKnX2U3zgPlJjm5r/1GW1PdfrrNkfH8bEmUDhmrspefjUJhSTxiOd50labEg/T+d/62Q00KGIp1niUc7IOVnU4uo0vGMfL9IiL4wHOslS2BmTpczwtIpS4mMuFjvEgdKztSUJWV/ODOEhqTZdzsMZ8NyaA0X5bgd7GI3I71rLVWgfA8vspRtH3M9TraPvEJ/WvaTR5E/ZRgqE+jkEIqKCMeMkzNKBPSEiXrDs5S6/zya6e7TmAlHkccjDKfxnAX4G7ypCpfrcaYNlcu/KacwXJrzl4dniRFPj7OHz4cR+cR79Cg+8YRaJUBgqlEmOJJCUcYmdUJIRs8SINdaivaiskQIYeqdmmcJMF9lO9O+y9lw5jxRamPygk2WBjj8GsNFgiBw8S2xsF8vheEI0Z59p9xHs+UDGCnUogxwyPjRUjaAbg+9Z5shEJ16lCWmZvWCZyll/4s5lA5oSRSILMvT1krEx2otcQjD6TB481LuWEHKDCqlnBHHW1lK3l8e2XD0uKipdPSe0BqUfqvu7m7N38v8Sg5BUz0tHuoKIXKtonT8zNMHYbhoXGSlCtxp/FtOk6Gy5H1XV5ZI4n28QM8Ht9t8fTi7ztIAR2dY3euhhoIcN/yh2IBSlkJRkUnl2lbpiX3klH2jhRTyWD2nC0OlwuEQUJjjRkcwCn8wisoCYw09+5tnKV17Dh7KUruO1iOATCCDvZUNx7HkBSBnwmU6l+QwHC9lKU02HMeFhFpIke5jezCO4uIyNDY2AgByc3OzEqDucAwkFoHgdCIUCmnbmHgURBTR3R2CmKWUiRpicREkJpH3SDisuo1iNA4SiyAUFxAMugwXRtWDznAUJBaB2+VEOBxWfY8Yi4LE4giFgnAS/eQjed9DSftFCGGvdQWDaQmbVhBC0N3djcbGRhQXF7N2LmZgk6UBjGhcZN4cLeSFy40rqI+cAeZWr1TJEoTsfcyU22VmTEKIZs8SIPso+Bi8s9+EinwSWTJDIPqbZ6k1TXsQOhkGo3GEonFDRSJp65GSvOytRwBlM93eCcPx9iy1dkmTXWmG/eUdWmWJH6l1ljhU8M7UBqhQQeSHDh0KAIwwZUMwEkdLVwRelwPo1KY6NnWEJEUq4E3qgacVMVFEY0cYggB4guoFXgkhaGoPgQBwdOZoChGaRSAUQ0cwKqmqAfXzpikQRjgmIt7hYeqrHtB9d6TZ9+b2IEQCODq9miqqa0FxcTE7L8zCJksDGFpr87D3cFB6tGaJSe8xPx6d1PM92lZYPMZUZt/o8yyZKR2gvT0Gj4w4uYK3doXQSs8SbZRbmkKWCrxylWZ/MGqMLNECjZqVJfNkqUtj7z2Av3LX0pk4lhnIEu/ClLKylFI6gAMRzJQpqiTygiCgqqoKlZWViEazH8v/fLsX931Yh1ljy3D36RM1bcvdf/sS25s6cc8ZB+GwMaU69kLCjuYuLH5jFYp8brz208lp37f4qZXY0x7E/511MA4ZVaJ7HL24/73NeGttI86fNQoLp4xRfc9jr67Flztb8avjJ+K4CfoJyPamTix+40sU57rx6lU99/3Gx5ajrSuCxy+YiTGV+bq/PxVut5uLokRhk6UBDCrb53qcmpg4j9YcrJ6KBrJUyIG4yAUptZ2qXNQsxfZqIRM8Mn60lg4AzJMlUSSMCORqCMPx9reooS1N41eHQ0CRz4227ijag1FUasxoU/vuEg1NbQFZbTOaDScqqtzrKkoZNtePjoKSwzItyhKH3zQuEuaD7JkNZ/4ekClETT1SSiLvdDo1TZJN3QR7AnHA4UZOjrbzKiQ6sCcQR1dM0PyZ5M8HpTGdnoyfLy7Iwxe1ndjUHMLsCcZC7XqwZm8X9gTiGFpWkHa7wqITewJxdERgaN+DiX13ur2qn++MCtgTiCMkOgx9v9WwDd4DGPRGp2X1qnyfObNl34ThtO4jD2VJGULRIoHzMLFqLR0AKMiSQdOzsnSELmXJwjAcneDVCA0NzRk1eWf6bjXkmiwF0a04vlp9doBkbDVjKqegIc3SDIZ25lnioBZmqurPI4TrT+Nnk8YznkTCmg3raPKda7IGF82wzOYVHD+kAACweV/A0Dh6sa2pCwBQU5Fe0aELK6OKK118pLNT8GqNYxVssjSAoSe9HeBFlowZvI2mcOpVlnisZAMGSSgXg7cWxY4pS8bGo208HAKSWoukHY8D6c0GRmhU1JAiVmvJWGFKZvDO0xeGM1o6gJ4HToeg6fjmuB2MlPM4xiwMl987YThKVHLcPav6U+UnGI0bToXPpGabIWNy1qA2Eg2Yv9YpyfJlWaSMHyqRpU0N1pOlve1BNHdKXqJMZMlssVa6+EintuYxRdf8gsEK2GRpAEOPfwjg5VnSXzogZqJIZFdEVnm0oIDDSlZroU8K5lkykT2Vrl2EGsyG4dhNS6MPjE5IoaiIiEX9qtq60mesyc109e+vKBJGsnSH4QwWb2Wp7h6n5pR0eq7xyIhr7coehivkGIbryED0ldet0WtSDsOpeJZUwnBa0RHU52UDFKqjwWu9W2NT8PFDJNKyZV8n11pBalixrQUAMLW6OGPYmClLBolidmXJvJ3BSthkaQBDT0gMUCpL5v08Wrw1eRyKRMo9tvSF4czso1+nmiXLx+Z7w6WruKwEnSCMk6XETUuDXwlIPg5WqEuRmMjUTjVTsplmuoFQjLVY0G3wNqoe6MiEo+BVHwxQhuEykSV+FbwzeYpcTgcjBkZDfpnIGF0cdUXiiOlUrtrT+OQywWwBWuYVzEKWxpbnw+d2IhCOYUO9terS59slsnTE2LKM78t1m1tEUEUqXeg/l4NCbyVssjSAoTcMx2P1qkfNklbM5uq5BHROPFxM5TpqLAG8Dd7WZ8N1Z7lppcLp4FfsUw204rRDUN//YhP94Wh4L1M161T4TGbD6ekLR8FqLXGYKFq0KEucegwqvyMd0Ter9qZrpSJ9t3yM9R47PT5BCln9MOrb0Vayw+NyYHaNRF4+2txkaKxM2OcP4YsdrWjrimB5Qlk6oiYzWcozqyxlWaTlcSgGayXsbLgBDK2tTijyeSggGitNUxTkuKQCimaVJa3qGc9Qo8bjataYGI7FWZhSj8Hb6EqdhhC0KkuAREI7wzFLlCUagivyuVVbQMieJf1j6zV3AwrvhNEwnI5MOAq5ire54xuNi4wEZFKWaLizvct6slToc6HBb1zFomU11L7f7XTA53YiGI3DH4z1qNOVCVoqnafCtLLEzo3s1968CRV4f2MjPtrciKvm1xgaTw3RuIgfPvQpGgNy8ckCrwuHjs5cosCsuT2bskSPrZmejFbCVpYGMPw6/EOAclI3dtOKxUW2MtI6ptlVJVN5tIbhWAd3E61AjHqWDN5A6bERBG37aVpZ0lGQkoIphJx6iSmRydwNmPMs6TV3A30ThuPlWaLHUhB6FvhUgpLHQDhmugeZdmXJIFnKoroy35LO76fbrYdgmTUhM4O3O/u5MW98BQDgy51trBk0D2xqCCQRJQC48/QpWe8HZhMfsitL5uvVWQmbLA1g6J3UzRaIU35Ob+jPsGdJ5yqdjWeq/50xxc4oWaI37XyvK21zTSWYsmTwmHZpNJkqQSckK5SlbAZsSpaMKGnUv6NHWeIWhjNAlsxmp7FK6D53xrIXhT43lx6Dys+nVZZMNu3tyGDwlr5f//UQjcs+OSPKktF7aFBHm6FRZXk4bHQpYiLBk59sNzSeGlbXtgMAjhxXhvvOPhj3LzgYp04bnvVzZs3t2T1LtsHbhkXQG4Zjxe+M+ocSn8txOzT37jHrIeqbMJw+z5Lc7sTY5KqnbADAQ1miKzwDypIFZKk1QyYcwCcMp0s9MBkOMBKGy+dA8gGgVUP1bkDyodHzzWhJBops3h8z505UoWanuz4KDJAx5bWjy7PEiLTZ0gHaFipXHzMOALB05W5u4alvEmTpkJElOHNGNU6fXq3pc+y6MOzXypwNl+81p9pZDZssDWDQ1Y3WSdassqQ37Kd8r1llSbvBm0cFb+194QDzypJcNkAfWeqOGKtdI6/wtCtLvJQPNdBeZunUnyKfcYO33ia6AOBz94WyxKeWlWzuzt7rjCp2bQaLfVJo8SwBxpIDlOdbOjXbSIV5el4U5mgrPEuRa9L3GdSZXDHngHIML/YhGI1j5fZWQ2OmgpKlaSOKdX3OtLKUpc5SLocem1bCJksDGEZLBxid8PQUpKQwO8kazfgLRUXDXgy9Y1JJPRiNIy7qr4kilw3QV0sKMKYusdIBOjxLPCs+p4L6JyoL1Sd45lnqZWUpHBMN/Z56+sJR5JtUfSno/mZTlgDzldEptHqWjJw7fkWIOl1LJyMZt2ybdZBoaTvMKkvS57QqS4IgYG7Cu8QjKy4UjWNrUycAYGp1ka7P0vuFYc9StjpLJlU7q2GTpQGMgM4QFTU/S41i9RMJveEp6b18yJLWlZhygjIbbtSbDQcYW3XpKRsASCEUelyNkCWqmBjx1FhROqDRL5GlIWn6vhUz5SBmuJaOHmVJeTM3cuNmRSl1HF8eJS8AbdW7KUqYsmQuDJetRpipKttpGvQmf7/+wpSsIKWO6t2AIiPMZOkArfczQDZ6f8yBLNW1dYMQ6d5WkZ9dfVTCas8Sj4bkVsImSwMYur01ClOhkZBRus7imWDW66LXs+RKpBID5n1SWo+r1+WAKyHlGzuu+sJwgDnfkt6ilIC8bVZ4lhoDUqZPZYH6zVs5Cesla0ZKB3hdDmZ+NrKKlsNw2o+v7Fkyd3y1VO+mMFPsU4l2llWWxVNk4NyhIVrerVuMFKQEzIfcs6krapg9Tqp/tL25y7S/bHdrNwCgujRXd8NmSmZCUWOKa9ZsOK85MmY1bLI0gKE3DOdyOlivKiNEIqBTAVFum/nSAfrHNDqx6/UsCYLA3muILBk4rmbIkpHVrZWepX0JZamiQF1ZcjkdTOXTO1kYmRQFQTCVIs5a9OhZVCTOb7NhOC3VuyloGM6sspTds2Tcj0XN/5maAhu53ul5oaVivhIsfd5gyF0u26GnxpmbLSR2tXTrHlOJ2tYgAGBkqU/3Z5XbHDRQgyzbfcesamc1bLI0QEEI0V2DCADy6U3ZwKRuzLNk/EYZF4kcMjLgkzJqFAzo9CwB5jLisqVGq8FMYcouA6tbqzxLhBA0Uc9SGmUJkL0lemst6e0LR+EzEXKQe8MZyIYzG4ajSowGslTCyJLx31QUSdYwnJFsNYo2Sv4ykF0jSR3Z1LB0UIZWjYRoGWHQcc8GgNFleQCAnS1dusdUgipLI0tzdX/W63Kw9lVGapB1ZSmbkG8yC9Vq2GRpgKI7Emc9r4x4iAyRJQMkwowiodxGLXVJKPJNeCRE0SgJNaEs6SwdAJhUlrJkpajBKmWpIxhFJOFDSmfwBuRJTW/IqI15lvR6U4wX4DNVZ8ls6QAD2XAdBrIMKTojcu+9bJ4lI+dqa5aCpYAiRKyDjOnpxaiE1+Vg2XNmVEetBm+KkWUSudltUlkyQ5aUiquRKt7ZiuHmKuqbiQZUO6thk6UBCjppOR0CC61pgZmsm4CB0gFmjKt00vE4HZr7eiWPaYBIROMgBkgoJXNG9lNv6QBAQZYMqAKGlCWLPEs0BFec6874GxcbKB8QisZZuKBYRwVvwFxrB1buwkAYzmzpAH1huITB20TLE3r+eVwO5LjVfz+ZlBkgS9SwnoHsGgvDGTN4S4RB2k+9C05CiO7SARSjE2Rpp+kwnOxZMoJcg9mAkZjIFkXZDN6A8VZDVsImSwMUtGVJQY5Ll1GPlQ8w5K3RryyZqXtkZNIBTKpnie3US0LNtDwxsso10wiVbmNfZGulIpu5m6LIQPkA+l6XQ9ClEgJKZcm4ImpEuTNT8kIUCVPS9IThjLSRocjmV1KO0xmOIRLTt29UWcpo8DagJLcbLB0AGC/OGImLiCUUE/3KkhSG22UiDEcIYWTJiLIEyIsIvaqaUqFNt+9Jql0/rLVkk6UBCiPEBVAUpjRRIE6fwVuugUKIPmlVb4VyNqbXeBhO2ULGCAk1VzpAv2fJEFmKGDOZAhKZ1Ps7ZgItG1CZxtxNQTO39JAlucaSW3fmT67BlieEEENhOOWCwKjJuyMYZaZjLb3w5PpVxsNwWoh+kaK1it7CorJnKT1ZovXJ9FwLRproUhhteaIkDHquPUBWlna1GleWWrsi6IrEIQjA8GL9Bm9AUT5A577T+6LH6YDHpU47BEFg3282HG0FbLI0QCETCX0XO2t5YiBFWW/2nfK9cZHozqDQW72bIt+ALE/hN0jQzPSMMlI6wIyy1G3IUyONJxLjXcfV0OBPKEsZ/EqAMXJopCAlhVxTRucKOip7CfUcX7ciU9VoYgKt3l3gdWkKW5dwyIbToiw5HYLhljWst18GpYxWePeHopoz1Iw00aUwWjyR/q4el/Z2URSjSiVlqSkQNmyApn6loYU5aUOm2ZBnsDAlK5mQxXtaYLI0g5WwydIAhd4muhRmlCVmRNYxqed6nExa1av0GFmhA3xM5Xr8SoBJg3dI/3E1qiyJImF+AD0VvKV+gNLvyDMjbkezFFag2T7pYEQFMVKQkkKuVmxsQhQE/eqB2ZpkzK+koSAlIIegQlERIYMeES1kCVAQsy59xIyG4TLVjaLnBiHaz812heqoF0YXRkaKwVIU5bqZ8lzXFtT9eUAmSyNKjIXgAGWWqL7zhbU6yXLPMTM/WQ2bLCkwevRoCIKg+m/o0KF9vXlJCBgI3QC971kSBEHRZkXfJKC3ICUFnXRMmdh1K0tUntZ3EwlF48zH0RthuFBMNrDryTAUBEFRBoLfjWwnJUvlmckSze5q0THZ8lCW9IbhlJOC3tCf2UbXeszddDxaTNVoyxOtZMlIH7pYXGTfn0lZcjsd7B6jRSUTRaJ5u9Vg1LdDyZVeEk1RnSA5tQZDcZRkjTDoVwLke4ZedUtrUomZ+clq6Ke4gxxFRUX4+c9/3uP5/Pz83t+YDDDq5zHnWdKf4g5I5KojGNVdfTlgVFkySM4A44qd0dUmXQk7BH0ZMkbrLNHJXBCAHB0ZhoBE5lq7IqYztpSgdWPGZiNLCbWEtvPQAnPKkjGy1GnwugTMl2fQU70bkAhwca4bzZ0RtHVHMLQos29MDbqVJT3KYDDKiH02b1Fxrhud4Zgms7qWcgeZIC+MdCpLBnoGKjGi1If19X7jylKLOXM3YLxwpNZinPkmFrpWwyZLKSguLsbixYv7ejOyImAwXFRgcFIPx+IIRRMKiM4bjLSNQd2TgHFlyfiko7ffHoXRMJwyBOfQ0f3cqLLEvANup67xAPNholT4Q1E0J8hPNmWpPJ8qS2HN309DPnprLAGAj6kHxsJwelQ7CrMtT1p1FKSkKPJJZMmsspTtnlBsoA8d/f2KfO60TXQpSnI9qGsLagrT0nIH3gzlDjLBaA+zvlaWWI2lMmPmbsB4lqisLGW+r8r3bv5tlczCDsMNUOhtyUGRbzCtXkk8jHuIdIbhwsZCYiwM10uFNwFlBW99Y3ZQc7dO0ktX2l2RuK5Uc3qDzzWwuqUVxnmF4WgIrqLAm/WcUipLWrPx2lirExMmXp0TolGfHWC+5UkLC8Npb5DKygcYNHkzo7RGZUkPKdvHGixrL7CppWaUXgUuFUYN3t2sgrVBZalEIjl96VkyWn9MrlyuzeBtNMnBStjKUgrC4TCee+457N69G3l5eTjooIMwd+5cOJ3GVgNWwUjrEcB4Wj0bz+tihm2tMFqjp9NApWnArLKUIKE6swyN1lmSlSV9+6hcyfuDUZRp7CDOWg4YWN3Sc4eXwZuau8dkMXcDsloSEwn8wZim+jhyq5NeDMMZrA2m/IzecDWFERJQbLLWkvYwHCUz2klZfYdECoYWZVdC9OyHlqrgmWA05M7qm+ksSElBvUa1bfqVpUhMZMfTlGfJIFFkzbuzGbxtz9LAQUNDAy644IKk58aMGYNnnnkG8+bNy/hZv9+f9LfX64XXq32Vpweyt0Zn1pZBZYlOkHrJmfQZY4Up+6J0gOEsQ4PSvJFWJ4CUjl3gdSEQjqFDD1nSeNNSAyV0RifzVKzfK10vNZXZyZLX5URBjguBUAzNXWFNZMmcwdtY3axOExOi2Z6Geg3egLHwmBJaC6pSYqLH4F3fIZWVqCrM7qUq0ZEt2WbgOClhtMlyl8G+cBQ0DGdEWdrZ0gWRSPepbAVgM4Eq0nr3XauyZGfDDRAsXLgQ77//PhoaGtDV1YVvv/0WV1xxBXbu3IkTTjgB33zzTcbPjxgxAkVFRezfPffcY9m2BgyGqIy2O2EFKQ0YIo0qPZ0GQ43KSUdvjyGjih29CegmoQYKfVIYqbWk9aalBt6epU+3NgMADh9bpun9zLek0eRtxuBtVCk0F4Yz59egx0UPCSgxUBldCaYsZTnGRsJ9lCxpMZ4X6zCQt5rwsgHmlaV8A9ceAFQnwnBSsoy+32tbYycAoKYiT3eWphJyUUq9RFGfsmSH4fo5brvttqS/p0yZgsceewz5+fm47777sHjxYrz++utpP19bW4vCwkL2t1WqEmBcATHqH/IbzIRLHtPYKl0vIaTbSIjUY0jPxEX3U2+WjNEK3nLtKgO1V3xu7GkP6iJLRlqdUBhpK5EOLZ1hfJdQlmbXlGv6TFmeBzuau9DSqc3k3WYi3GJU5TEThjNT8gIwqizx8SxpLx2gfZyGRNioSgtZ0lH00shxUsJo+jwzeBtUlvK8LpTledDSFUFtazcOHFak+bNbKVmqNJfVnWvUr8VKamTxLFnUVokHbGVJA6688koAwMcff5zxfYWFhUn/rCRLAaNhODapxzVXuwX4hOH0roaoZ0nvxON1OVj9mN4ihYY9SwbDcICxjLhug408AUXDUg6epWWbmgAAE4cWoEJjWICavJs1+F6UtXTMFB40mvFkhIzmm5goCCEmw3D6f1M99YqoKtiso/QDC8NpaM1B27toIUuUsJkNw3UaTJ83WjoAkNUlvaG4rU0SWRpnkiwZD0FqI4r5JpMcrIRNljSgsrISANDVZbyJIW8YNQYriYceFcRMGM6oIkGz4fROPFIBRWMTj9x6xNhxjcYJwjHtNxKtqddqMFJrSWtxODXQbTS76mvtiuDe/24EAPzgQO3FXstYGC67suQPRVktHb2d5QE5VKJbWeqjOkud4Rjr6l6msYI3YC4bTk+9IuqT6QhGNVcLp61wNClLRsJwBskSbdmht9lrp4lrj6Kamrx1lg+gytK4iv6tLMnlM2yyNCCxcuVKAMDYsWP7eEskEELkSV2nIuF1OeFJ1CzRw94pOTOmLBlTJDoVGXj6xzQ2sRtWlhRKjR41woz6YURZkg3eRjxLxo3zFNuaOnHynz/BPn8YYyvycNX8Gs2fLc/TXpiSKiX5Xlfaxp2ZoFQK9TQOpmTUCFkqNOEJowQgx+3QZd6n512rzjYkgFyvyKOhXlGRz81+h6ZAdrIbjMSZSqTFs6SnNAEtL5CpOW8mGK2p1m1CdaQwoiyJIsH2Jmmhb1ZZyjWouOqts2Skd6nVsMlSAt999x1aW1t7PF9bW4urr74aAHD++ef39mapIhwT2SrSiCJhJCMuYMKIbGTFTAgx6f/Q782SSKgxpcfpEOBz66/sS2/uRioJU1OtPrJkLLQJmPcsEUJw8+vfYm9HCKPLcvHY+TN0FQUsY6Gc7JNtm4neX4A8IcZEgnBMex0ro+UuAGX/O+NkqUxHjSVADo8ZIks6WoYIgsDqJTUGQlnfT9Pc8zxOTYslSny07EeLgeKdShitNaS1P1omjGAZcdqVpW1NnQhG4/C5naaqdwOyMqS3KbruOkv9MAxnG7wTePnll/H73/8eRx99NMaMGYOCggJs374db731FkKhEE488UT88pe/7OvNBJDaIsNApWAvbVuhQ1kyYURmKo+O1UI4JiIal1b0Rlbpcj867fvYFZE7xhshhXleF4LRuC4S2s6UJf03biPKkqwQGie9Rj1LH2xsxOfbW+F1OfD8Tw7HcA1eFCWot6lRgzIh11gy50sBpEWFVlLHMjiNNEs1WJUdMG5aLlOk9MfiYtZK2UrQ8yBbQUqKyoIc1LYGWbHJTKBho5Fl2rK3aOgxGI2jOxLLqGBQ1dEoWcpPUR21ZpexGmcGs+EAuUaSHmVpdW07AGBqdZGu31cNuQZVNc11lhQLaz3Htjdgk6UEjj76aGzatAmrV6/GihUr0NXVheLiYhx11FG44IILcMEFF/SbH07ZIsPINhlJzzQzyRopSqm8GI2ZkfWrIFSFcjsF5Lj131TyvU40d+q7keidcJQwUjrAjKemyKRn6b/fNQAAfjxrpG6iBMi+Fy3KBA21GFWWHA4BuR4nuiNxdIVjTIHJhi4TJl56fIPROMKxOLw6eve1GCRLxbkeOARAJFKxxsoC7f3hWnUSUqos7fNn//02NQQAAJOqCjR9d67HiRy3A6GoiJbOCHJL1Y9/XCQykc4zdm5Qz1JMJIjERc2/k5myEhQ0DFfb2q2ZTKze3Q4AmD6i2PC4FLmJRUM4Juoi15rrLKUoukba0VgFmywlMG/evKxFJ/sLaIsMI/4hwFjhLzP1gJTEResFLhf309/DDJAJmp7Yt58dV2Mk1Ej9FXrjNhSGM0KWDLZzUX4mGJVarLh1rlI/3y6FueeOr9A9NgA2kTf6w1nPI7MZT4D0e3ZH9CmFZnrDSeedVPKiIxhFZYH27zDawsPpEFCa50FzZwQtnfrIElVotJIO9vtpUAY3UrI0tDDLOyUIgoCyPC/2tAfR3BlOW6XaH5SN/0ZVx1zFBN4d1k5qadjOSEFYiuHFPjgE6buaAmFUaijYuSahLE0fWWx4XIpcxXndHY2jUDNZ0qYsKRfGgZB2Rbc3YHuWBiACJmoeAcr+O3qIhHmDd1wkmmPdRhvaUhhJw5bN3cbroADazY/RuMhuoOYM3vq9Z0Z+R+WKWK+6tLc9iN2t3XAIwMxRJbrHBoDKhDIRjolZq4g3JXxNWhUhNRQYMLOaIaO0KjugP9RppnZQuQ4vmBLtOos7VupQljY0SDW4JmpUlgCgPD97AgBV4ApzXLrJPoXL6WDKsx4izUNZynE7MTrRHmjzvs6s72/rimBT4lhOG2HsulPC45TLsujpm6jVr+VwCAoLRf8yedtkaQDCjMoDGDNcmykdkOtxsn5yWsc02uqEwsg+GjV3U+jNkqGKkCAYC28aKR0gH1f947mcDuaR0zuZr9zRAgCYOrzI0L4C0kRBf9emLKG45oA0KZohS3k6FxWEEFNFPwFjpn1AJghG0uHLNJAMNbTqbCczJKEsZcuGC0birMnyRI3KEqAoLdGV/vvp2Fpre6WD3npDokjYe3NNeJYAYPwQiUBubPBneacU+hYJMKmqUFNWYTYIgqBIENJ2jsbiIlska1n8FrKs2/5l8rbJ0gCEGbM1YCwbzozqIgj6VwtsFWaYEOr315ipUg7oD8PRrCcjzYkBY2E4M8oSYLzWEu0DN32kudUt8y1lMQnLypKZMByttaRtQgzHRMQSMR6jZInWhNJLlloTBEFvGE76jEFliRmltV0vQxIho4aOzET3q11tEIn02+khNXTfMxW+pOeFabKk81rvVijqZpQlABg/VCJLm/cFsr7339/WAwBOPqjK1JhKFOgkM8pjpOW+U2hgEdgbsMnSAITZSV1vlVRRJIrwgjk1S+8FZrSPkpHSAUYLUlLoNc53BI03egVkstQZjiEW15beHjCRrQUYr7W0I6EU1FRkb5qbCdT30pRlYm9OKAjlJiZFep1oVQo7TSYlAPJvqrd8gJkwHFOWdJYPoGNqPX+HFUu/XV1bMGPPxpe/qgWgr2ApIP/WmRSyxkQIsEKHN0sNeosz0nPI6RDgNVD3S4mJCbK0KUsYbk1tOz5L9F88aSo/sqR3/qALqxy3Q1Po00jiSm/AJksDEPKk3jthuM5IDLQun1FFQq/SEzCRtaX8nKEwnEFCWKiToNEJ0WjGllLl00JCIzGR1Qwyvo/0d9R3I6NF8caarCBMfS/ZlCWqklSYCMNRoq6VLCkLfhpRCgHj5QMo0dFTvZuiXEdldCVocoLW4o4jSnPhdgoIRuOoV/EtiSLB8m3NeHudlDW54NARuraHKksZw3AczgtAf8hduUgxm1VNw3Bb9gVUSSchBB9tbsLVS7+GSIDTpw/H6HJzixQl9M4f8r1c2z2H2Qv6mWfJzoYbgDCvLOlTQCiJ8Gqo1JsOepUeM94aQDGp6zGxK0oyGIFch0ifZ8lIJhwgeYjyvS50hmPoCEazqgpJ5RhMKnZa9xGQjOy7E+0Zxpi8aWspHyCKhJEHHp4lvT47MxWajXqWZGVJ//6W6aiMroTebDi304FRZXnY2tiJbY2dSeUjVm5vwQ0vfYM97VL9oJmjSjB1uPZGsYCS9GUIw3HyLOmtZG02/K3E6LJc5Hmc6IrEsaHBn9RQt74jiCv//hW+qesAAAwrysFtP5xsekwlCnRaKgI6LRz03m0rSzZMw0xmGqBQXTSTJXMhOEB/raVOkzcXVjZfl7JEjfMm/TwaCZqZ6t0UepQIeux9bqfh4nSFBlZ9ta3diIkEPrcTQzWkOmcCDcNlKmzYHoyyJtFGlBYKveqBmfY8FEbCcKFonJmHjYXhEp4lnWG4Np1hOEAOw25rkkNI6/f6cf5TK7GnPQiPy4EzD6nG0wsP1a3AsEbLGRQyXmSJqY4aw3BGG5+rweV04NAxpQCAFdtaFGNE8aPHV+Cbug7keZxYeORo/Oe6OYbD/OlQoNPzqrcTg5nirFbCVpYGIMxkpgHKOks6VwYGvTyAMgynT1kyqoCYKh3QS8qSXL3bBAn1ubGnPaiNLIXNkWzlZ/VkqlC/0ujyPEM1s5SgGT2ZTMJ0sizOdRtODwcUZEmrLyXCQVkyYG6lqpLbKRgi+oxkaKh/RBGNi2yxpafHWk1FPoB9LCxLCMHiN79DNE4wb3wFHj7vEMOhdy1GdW7KksegsmTS3E0xu6YMyzY1YcW2Flw2R+pZ+sf/bkJtaxDVJT688JPD09aaMot8nfcAvaqafA30r2w4mywNQJitB1SgNwzHYVVUqJNImA3D9UU2nF4/TwdNvfYZX/kVJQisHmXJaO0qQNHsVcdkTsnSWA6+CWoS3tuRvt0DM3eb9KXIGU/aJkS5L5zx1HAjq+pWRb0jI36YCkXKvdaisVT5EgR9i4uahGeNKkvLNjfhi52t8LmduOeMqaYyxWiF8JauSNqiqZRIVZpWlnSqjhwWKkrMrikHAKzc0YpQNI4N9X787fNdAIA/nHmQZUQJkO+tmg3eNDlI472cLsrtbDgbpmG6HpDOEJXemLMadCtLJid2elOKxEWEY9omO7PZcHQfta64zHqWlJ/VMrnyDBPpuZFRH0p1qf4WJ6moKpK+Y58/lDajikfZAEC/AiuHx43/nsUGyJLRVicUVFkKRUXNdYNYo2KfW5eZ/YAhEllat6cDkZiIv36yHQBw3qyRGGagBY4SpXkeeJwOEKJeJTwWF9mxMq8sGQ3D8SFLk6oKUV3iQ2c4hkc+3IpfvboWhABnHlKNI8eVcxkjHfSWgWHmdr3KUj8zeNtkaQDCbFFK/Z4lc+QMMJBBQVdiRrPhUsrmaxrTbGV0vdlwlCyZCMPpIS9myz8AcrVmOllqAQ2ZVZn0KwGSIuAQgGicpA23yKEWc+Pp9dkFTF6XgMKzpIcsmaxWnutxwZdI3NBq8m7TWb2b4sBhRago8MIfiuEvH27FZ1tb4HQIWHjUGH0brQJBEDCkSDoGDSrKY2tXBIRI6ftGW51Q5OlUlvwcVF0lnA4B1xwzDgDw5w+2YvO+TpTne3DzSZO4fH8mGL0u9Ibh+ptnySZLAxA8i1ISkr7eCRuPTQLmlSW9cW6j+5hcNl/fDc0oKZTNz/qKUhppokshG4KzT3JmaywBMrFr02FArk+QpaFF5pUll9PBihvuTeNb2tsuPT/MZMViFnLUqiyFzIdajNSYoQTHjJmd+ZYypN0rwZQlnUTf6RBw4hSpftKf398CADhj+nBDjZXVQBMI6lXODfpceb7HcGkHijymLGkM0XI0eFOccUg15hwgqUiFOS4sWXiYqV6IWqG3qLFeRbu/1lmyPUsDDKFonNXKMVwgMhE7JkQq15/NkGpWcQH0qy5max7RMTvDMU1jEkJMj8lCfzERoWg8a5kFPzN4G7/B0c9qyZ5i3gETk3kJG8+AssSh3QL9nvqOEOrbg5im0km9wS+pCmbbOzCCr9FnFzCZIADI5KMjGNXsH2pm1buNh5bK8r2oawtqV5ZY9W795+4p04bj2RWSvybf68KNx0/Q/R3pIBHyNtUEABoO5kHMaOmAbgN1lnjB7XTg75fOwt72IHLczl4hSoA8f+gNw2mdr4yE+nsDNlkaYKAqiSAYD1HluB1wOgTEE5W5s5EluXSA+Syq3lJ56Jj1Hdq8WcFonLWqMKzYeVysa7yWjtntHDxLxTqUHh4G7xKdylIsLrKaSNzIUrEP2N2eVVmqMqlk0fNAO8E3r8DSc0Ei3CJ8nuxmcR7KUjmrtaRXWdI/5oxRJXjkvEOwqSGAow4oZ+UgeKAqQ7bkXkqWSsybn/MN1lkyc26kg1mvl17ozTTW21y6SKHQa10w9AbsMNwAg3KFYjQNWxAEXeTFbEo9oDB4a6hBxEPlAeQbmpawGJ3oXA6B+Tf0Qhn6yxa6EUXC1BkzpQP0KD1+LuRMGs8fkmsZZUJTZxgikY6r2ew0Chpeq29Xz4irT/hVaOacUdBzrysS19ROhocCm6/oE6g1DNHCwdCupUaREm0mTeUnTq3C9d8fj0NHlxr6fDrQEK1ahfC6No7Kkk6DNw+/YH8Bmzss8mvR6ycuEs1hzt6ATZYGGMyauyn0VPHmYVzVYwrkofIA+jLwlH4TMyuZQo0lCzojMVCuwUNZ0mII5qlkEaJtMqcqz5DCHNM1liioYrRHhSxF4yLLhDIfhtOXJOA36bMDpIWMXoMra3ViMgwHZG5Cq0SbyVY9VoEqS/syhuHMK1lm2p0MdOgNw+n1a+W4HfAkyj70J9+STZYGGHhkpgH60j87TBrKgeS6R9lM5VTlcZpQeQB9hmtex1WrN6uj23wLGaD3lSW308HCv1oy4nj7lQBgVJkURqEtVJRoDIRBiFSgsdwEeQAkMzlVELSYvPV6M9JBN1niEYbLl2sUaQE938xmlfHGkAwGbzkMx0NZogVLe7/dSV+D7kMoKiKqRXEN6yOKgiDIiSQ6q8pbCZssDTCYLUhJUajDvNoelE7YIhPFE+kFFhcJgtHMNxhlXSczKo+emjVmC1JSaD2uHUE+K3OmLHVHs5JQHnWdAKA4T3sGHg2JmVV5lKBkaVdLd499pqE5XkqWnutE9iyZPId0ZDgSIpdQMBPmpCE8rZ6lVoOlA6xGdYII1XcEEYklT+RUWeLh8dGtLA2iMJwynKbFD2rEr1VqoESJ1bDJ0gADjz5tgL70zHYOkruyE3u2kAYPjxSgJBJaVBfzIRRAu7Iklw0wN9nQySomkqweAh6/o3LMtq7s544VylJ1SS4EQQoht6asPKmiMIxDmQJAn8k7wKF0AKBPWeqKyNmxpkoHaGgVogQ9l0r6WRiussCLXI8TIgFq22TlsSscY9vMw7NECUO3Tj/bYFCW3E4HU/yznaOEEEN98agXLvX67kvYZGmAQSYSvXNDjsVFdrKbqQckCILm0B+vFbqepqTclCWN1WeZWmdysslxO5HjTsT3s+wnN2VJx6qPGm151FiiyHE7WYHLnS3JoTg6QZo1d1NorbUUi4ssJGOa5OsgS1QJ8rmdLDRkBJWJViFqla/V0ErDcL2Urq4VgiBgTKKtzo5E/zlAPi8Kc1xc1B2lSpItzB+NS5mNwOAgS0ByiYtM6AzHWCKInkVaab5NlmyYBI+MG0A7WVLeCMxOslqbsPIo7gcoahBpCcNxyL4DtB9XXsQFkNWpTORFFAk3xa4kVzsJbWBKDz9lCQBGlUkT4u7WrqTnaYPWsYkeZGahtTmyMlGiN5WlZg5+JQAYkkjfb++OIpQlTB4XCdu2/haGA6SGzQCws0U+Nzbvk3rRjavkc164FN69rIRBcb8bDAZvQPs52m7Qm0nDcDZZsmEYcriI16Se+WSkIawCrwsuEx3cAe1NWHkRF7ZC1xKG45DJBMjHNVsdIh7Vuym01FqSjPXJ22gUelqeUA8RT88SIPuWdjYnK0u0ae8YDk17Ae1KIb0ufW6nagNXPdBDlqiyVGayLEOhzwWvS9rupizqkj8YZedSf8uGA+SGzdubZbK0ZV8AADB+SAG3cbR6y+jvmM/hHtpfoDUL16g3k4bhtCYc9AYGxy+3H4GXwVurjMqjfxmF1tpOvIiLnrR6XoodVV20hsR4TDZaMuLoeD63E16X8ew75XjZyFJcJNiXmHjNFohMBVWWlOoBAGxPdLMfW8GJLGls08MrPA5ovzYBeTIpNxkOEwSBZZLtU6lRpAQNwRXkuEwTQyswmp4bzUplSSJLB3AkS5rVFY4qcn9BkcaFqFEFnSqlrRpLWfQG+t+ZbiMjeKW4aw4Xcaynoj30x0lZ0tEKhL7HvKlcG5GgKbFmWp3IY2YPi/EM+8kFDDPvY3NnGHGRwOkQTHd5T8WEoVI4ZWN9gD3X1hVh6ho/ZYmG4bSds1z8MIaUJfPn0ZCEb2mfP7Oy1F/LBlCMSRDlbQniDABbEmG48UP4hOEAPaEo88Vn+xto6D/bvdVoIgs9t1rtbDgbRsGrKKVeb43ZrC1A+4qZV6iRjqel2nQbJ8OqFuICyLF4Hv2ctBA0ufyD+Rt2ucZqzzQzrbLAa7pxaSomVxUBALY2dTKPzfZmaUKsKsoxZXZWokCjwZtnO4tijaFcQOlZMk9GKzUqS00BPj4pqzBhSAGcDgH7/GHUdwQRisaZAskzDMfuLxaFovoztN7LOwwu7svsbDgbZsFOPrN1ljRmitFVEY8wnJxynvkC4GXwpsSAkOw3NF6p0MUai0S2cCRLpXnZC7h1cAynsgKGWZSlBgtqLFEMKfSiNM+DuEiwqUFSl7Y1UnM3H1UJ0F83yyzBBxQhiK7smWly9W4OylLC5L0vkJks8ajrZCXyvC5MrioEAKza2Ybv9nZAJNIEX8lR4dRrcuax4OwvKNJocaCLNN2eJTsbzoZZtHNWQLTG23kYkYs0GJEBfgZvt9PBsk+yXdS8iuyVaLyJtHSZ7+dFUZqXvfoy3zCctpo8vGseKSEIAg4cJk2I6+v9AIDVtW0AgAOHFXEbR75OtCVC8AhN0d9Ti1+DhuF4hDlpGK4xSxiuv5MlAJg5ugQA8OXOVizb1AQAOGpcOdemrFpLk9DXeSxU+gu07nuHwUQWuohs745o6kHZG7DJ0gACIYQRDbM3ZXqyB0KxjCcjr0KGgLzN2SYeGk7ioboUachYIYTIypJZEppYPXZH4gjH0qdg04mw1GRLDkBWFTIpPeyGzTEM1x2JoztDI1FKlqxQlgAw9WDdng4AwBc7WgGAa3NWet5nW+G2dvG7Tqiy1BWJZ03jZ61OOJxHWg3elCxV9NMwHCCfA59vb8GHmxoBAPMnVHIdQ6u3jKkrg8jgTe9zWkOQeu87dK4QNfag7A3YZGkAwR8yVuBLDcqTN1ORSL71gLQpS20cJx4tGXFdkTgiiSq8ZsNwBTkuUHtOuoy4UDTOChjyIIRlGiRrnr9jvldOM89E0OotqN6txCGjJPVg2aYmNHeGsS1RY2lm4nkekFe42sLVPJSlAq8Lbqd0EmVLnaYKJQ//EA1RZSVLCc9SOWfTPk/MGlMKj8uBzfs6sW6PpDzOG1/BdQzNvh2OC5X+Avm+mk1xNXYvdzsd7HhpbcFjNWyyNIBAPSm5Hqep5quAdDLSJqGZJgKWycHF4K3Nz9PGceJhN7QM+0iPq8flMNW4FwAcDiFrrSVKatxOgYshWEtNEh7NVikEQWAhmEyhOCs9SwAw94AK+NxO7GkP4slPtgOQsp14VpVWlkkQMyiw8jlrfkIUBEFu95CBjMZFws4lLmQpoSwNhjBcWb4XV86rYX+fcvAw7hmZeksHDCaDt+YQJOtUoP/8pGHhhizkvbdgk6UBBJ4kAtB2sbdxjLdryRQLx+LoTqgufMhSdtWFhf1yPVw8DdnqHrV0ymFGHuPREEymCZ15pDiEawBlRlzfKUs+jxNHT5TUgsc/ksjS0RP5hlroOSuSzPXB2jiFcSlYr7YMJu/27gjoz13K4Vqhk1MgHMsYXh0IZAkAfjq/BmdMH44r5o7FfT86mPv36y0dYKYReX8DI0tZw3CxpPfrAW2RRLsA9DVMkaXrrrsO69ev57UtNrJA9tXwWaFoudiZzM9hEihRtB9J7RZPQffR6RC49FHSkoLaxtGXBWQ3stNjysOvJH2PtI/KNhQ9xuSoLEnfk1lZEkXCwjk8+8Kl4tzDRrL/F+e6cZVCTeABr8uJvIQCm6nmC+/aQ1qK8rV0yWoWj8rQ+V4XU5szqUuUIPNITrASOW4n/rRgGn5z4iRLimfuz8oS3ZdITMzoq+tgkQkDZIkqS4OBLD300EOYOnUq5s6di6VLlyIS6T9pfoMRvDK2KLRUYm7lWMeFXmBxkSAQVl+50n0s9rnh4FCbp4xlimVeoQN8/ENAdiN7K8d0b0AKH1JimS4UJ4dr+CpL6fwEzV1hROMEggCu6dqpmHNABZYsPBRHjivDfWcfzKXIZyqoWpTpOuFNuLV0XW/m1OqEQksV71A0zvrg9WfPUm+AWhN6s7Bvf0G+1wVX4v6cub6bcb8WU5YGQxjupZdewjHHHIPPPvsMF1xwAYYPH44bb7wRmzdv5rV9NhTgHYYrZROe+snO24ic43Yixy2dcuk8RG2cq91m20eAPwnNZmTnWZCSIpOCRgiRJ1ZeYaLEBJ2uj1iDoiCl1S0x5k+oxPOXHY5jJw2x5PuzhVWlbErOypKGMBw99rx+U0Bh8k7zu9IxPYpGsvsrihMKf3eGrEVCiKL8Sv9W4vRA6atLd2/tjsSYpcKIok3D94NCWTrrrLPw3nvvYcuWLfjlL38Jp9OJ++67D5MmTcKxxx6Ll19+GbFY5mJuNrSDZ0o9IPeTSrd65W1EBuQbRrrVSDun0ggU5RrMz7xVgbIsqksLR1OuPCYtFNlzzK5IHOGYyHXMoUyBUN9HuWyAdSG43kIJu07UyW9nOIZoXAor92YYjobKeBrohzCTt/oEJfuV+PjtBjIKvC54EguBdPeXzjC/DOb+BrZgSnefS5y7Xpdc704P6D2mfjCQJYqxY8fiD3/4A2pra/HCCy9g3rx5WLZsGc455xxUV1fjpptuwvbt23kMtV+Dv9SfOUSlVFx43Rizmbx5tR2hoBd0Rs8SZ6WHZt2kU12aLVAEMmXEUQLlczu5tQGhE3R9mkmVrgarCq0xd/cmWKHRLATf63LA5zGXTUmhJQxHQ2VDOB5juT+c+u9KyXHlIPhdzUIQhKwLI/r75bgdpjOY+xvKs6j2TYpEACPzB73HZCtl0Vvgqo+73W4sWLAAH3zwAT799FMMHToUjY2N+P3vf4/x48fjhz/8IVavXs1zyP0KvCf1bCEq3p4IQCZL6ZSlNoVplQfoscqU4t7KQn+cyVKaMWmIg+eEkykM18zZ3A3IVbnr24Oqr+9JPF9VPPAn1ZIsGZW8FV9A/j0znbfsPOLoHRqSRTGk5SCsynAcaCjTeA/t75mDRlCRJcmjxWQiAD3HWroiGQv89ha4mwk++eQTnH/++Tj22GNRX1+PyspKXH/99Zg9ezb+/e9/Y9asWXj11Vd5D7tfoI3zpJ4tRMXbiAwos6jSTTycw3CJCzUQiqW94KjSw6sOS0W+dJGnU5YaLVAEMqlZLRaQXrrqa+oMI5oo6KlEXVs3AGBESS63MfsKciJEOjWUKr78rpNspEV6jf95lK2Zbj3LcLTJEqDwlqUhDLTp8GAkS5QoNqdT0E0SxSKfm3lc93X0fWFKLmSpra0NDzzwACZPnoz58+dj6dKlmDlzJpYuXYra2lrcd999+Pjjj7F8+XKUl5fjt7/9LY9h9zu0WqS6ZPMs8VwxZ1uN8CaEhTlu1vG+LY3npIm1b+CUKVaQuQZRY+LmQkMePEAnObXMEfo7lnNWPtxOAYSoT6y1rZICUV0y8D1L2RoV81ZDgWQymq4dESXdXJWlxHel84k0WFw7a6AhW/X8wawsZStMS0mU0X0XBAEjS6XF1vbmTkPfwROmyNKnn37KsuBuuOEG1NXV4YorrsDatWvx8ccf45xzzoHbLd9ADj/8cFx00UXYsmWL6Q3fH0EnX14KSCZTMCArTlzJUmLb061GeE88DoeQNRTXxF1Zkn1SqapLOBZnN1ba5Z0HhmZQBKz4HR0OgU3oatkqtVRZKh34ylK2mlJNJicF1THzPHAIUpkNNU8hIYSpTjyVperE71XfEVQlaYPJuM8D9DdPp86zPnoFgycTjiLbvvNIZBlXmQ8A2NrY92TJlNtz7ty5AIApU6bgqquuwgUXXID8/PyMn6mursbw4cPNDLtfIhIT2SRbyWmSpeE1fyiGSEyEx5XMnVsUmS+8IFd+ThOiYn4evhNPUyCsuvoLReOsMjMvslSS64HTIUgTXWckKWShTL3mmR2TyZhLFQjedXGqCn2obQ32UCECoSgzPQ8GZYkqN43pwqoB/gqPy+lAeb4XjYEwGv3hHtd8ZziGYCJdnee1MrQwBy6HgGhcKio6rDj596Pnl60sScjmLRvMyhIlQensBk0c9r2mQuIT25r6niyZUpYWLFiAjz76CGvXrsVVV12VlSgBwM9+9jPs2LHDzLD7Jejq0uUQuHWvLvIpQlQqhms5DMfvQi/Pkm7KyBJH1YWZMFVW6Iy8uBzcyiM4HAIjhak3EjmbyFiGSDpQZakpEEYsRc3amyAzqROfWVDzdn1Hssm7rk36uzjXjYKcgZ8uTc/Fff6QauV5Kwg+ICtGasodPY8KclzcMhwBqXI+PU9qW7uTXiOEyMqSnQ0HAFlrDTUPYs9SeRb/KQvDmVhEUGVpW2OX4e/gBVNk6YUXXsCcOXN4bYuNDFCGinhUtgakSZ2aV9VWRs2dVobhel5gkhLDP8OnPEMBRaVfiSd5YfuZclytMHcDUqjI6RAgkp43r72JzLRhnNUAqpjtbU+ezClZGgzmbkAmQeGYCL9Kfzha74gnwQcUamEgvVrI+zwCgBGlCbLUlkyC27qjiCTqdVkx7kCEHIra/5Qleo9r7Qqr9qSkYTgzkQmqLG0d6MqSjd4DvSHz7pxdlmFltM+CzBflzSX1AmvpDEMkgEPgnLnFVujplSXexzUdQZMzmPiO53QIcvXllFBcvUXKEjVf7mpJXvVRRYJOugMdOW4nUx3VijVaEYYDlJlpPc9bWprBCoWHklya0UhBFcTyfE+PkP3+Cu2lAwafZ4kuokWi3jeRB1EcW5EHQIpyZKo51hswpd9ecsklWd/jcDhQVFSEiRMn4pRTTsGQIda0JBjs4J2xRVFZ6MWmfYEefoy4SNhzPP0J9OYSjUtNX5XFJ+mkQFUSXmBGZH/PmkCyAZPvcaW/Uypx2WdBmJGisjAH9R0hNPhDoD3WgxHZUD6Msyl3bLm06tvenEyWqL9gVFke1/H6EpWFOfCHOtEYCOOAIQVJr1kVhhuaoZo2U+8sIKTUZ0YzGino38M5k+6BDDlJJgJCSA91mjUdHoR99NxOB8rzPWjujKChI5REioKROPMtmlEhcz0ujC3Pw/bmLnyxowXHT6kyvd1GYYosLVmyhJ0carF8QRCSnr/mmmtw991344YbbjAz7H6JRr+1N+TU4oLNiZRlp0PgKiF7XU4U+dzoCEbR3BlOIkt0hc5bdRmawfthlbI0PDHh1KWEMmhIzIowxtBCL75BMkHbm1AD8jxOFPr49vKqSaz6alu7EY7F4XVJFYq37JPI0vgh2T2MAwVDCr3Y2tjZg/wmJwhYFIbLQJaqLQh10gzG2hRlaUeCFI8pHzwk2CwqC7wQBCASF9HSFUm6VyY1HR6EYThAIs7NnRHUtQUxZXgRe54qnwVel6EmukrMm1CB7c1d+HBjU5+SJVNa6rZt23DqqaeirKwMd955J5YtW4YNGzZg2bJl+N3vfoeysjKcfvrpWLlyJR5//HFUVlbixhtvxL/+9S9e27/foKlTumHyVpaqEqvEvR3qoZvKAr4qDyBL0qkmbyvM3QAyprgzssT5uNJQRuqEszsRohpVxn+SU+ulVN8uh+B49/KqKPAi3+uCSIDdLdJ+EUKwuTEAADigsiDTxwcU6DmZqsDSRYyXY4IABU3P36NSJZ2GyKzINqTh1R0piuHOxN+jbbLE4HY6WPh1b8rvREmuFedGfwFdFKaeo/T8HM7h/DxmYiUA4MNNjaqiTG/BFFl644038Mknn2D16tW46aabMHfuXEyYMAFz587FzTffjK+++gofffQRPvvsM/zkJz/BZ599Bp/Ph4ceeojX9u83sEoBGcaIRPLJTomFFQpIumrTslGWs7JUJE90qbVj6A2Nt2KXbnVOScVIC+oPjUyEvXYqJrm9rO0I/0lVEATmKdjWJI3Z3BlBe3cUgiBnsgwG0POj0Z9K8OXzhzcZpefI7tbuHpOErCzx/11pmLEpEE7qh2crS+qgXsBUsrQn8RsNL+G/UOkvoCHZPSkKOiVPPEK2h40pRa7HicZAGN/t9Zv+PqMwRZaeeOIJnH322WnrJo0YMQJnn302nnjiCfb3ySefjK+++srMsPslGhlZ4kte6CSaWiuHkicrDKTD0qyYrTLKVuR74RCAmCLbjsKqcAad6Pa2h1gqf2c4xjJErFCWxiYmMaUiQMNwwy3q0UbHpBV2t+yTVKWRpbmDqnEoKx+QkplmlRoKSBONQwBCUTFpYRGLi6xSuxVhuHyvi01ym/fJWUjbbbKkCno/S5cVOpg9XowstScvCpVE0Sy8LifOP3wUrj56HNfadHphiizt3LkTRUVFGd9TXFycVFdp9OjR6Ozs+zTAgQYaTuHdk6mKpX+nKEuJFbQVPaBoleBUAyk1eFdwJmgup4OpWcp2IIQQy1bolQVeeFwOxEW5Ng3NGivN81hSf4iqPDuau1imIa18O7LUmgmOqkcb6iWStGnf4AvBAbICm7qCpuEG3pmGgFT7i37vLkXNo/qOEOIigcfp4B4+ppgwVPr96O8ZCEVZMoQdhkvGsGL1e2hdu3W+sv6C4Yl9S1348lSWAOCmEyfhlz+Y0KfH0hRZKi8vx3vvvZfxPe+++y7KysrY3+3t7SgpKTEz7H6HUDTOJnne4RtKlvyhGLrCcg0ZK8oGUIxg5ufk1YiVPgzq/1AqaB3BKDNg8l79ORwCqmlxv8R+WRmCA6SbssfpQDgmspvVpgZpsptYZQ15mTm6FACwcnsLCCFYub0VAHBwdeZF1EADzexLLZOwM/GbjrZAKZTGpeUZ5GulTrFq51VzLRXjE6G4zYnzh6qV5fkeFA6CQqM8wcJwPYqzWnc/6y9IG4bjqCz1F5giS2eeeSa+/vprnH/++di9e3fSa7t378Z5552HNWvW4KyzzmLPf/XVVxg/fryZYfc70JtjvtfFtVknABTkuFHglcyHSiKx18I6LtWsjot8gRFCsDMxEY22IOW8SiXrj45fUeC1JGREFbS6hIJmpbkbkGot0e/e3tyFcCzOQieThhZaMua0EcXwuBxoDISxtbETn21rBgAcdUC5JeP1FehxbeuOoqNbbshMyZNVZRKUviWKraw0g3WrbJrJSJWlNbXtAIBJVdacRwMZVWnCcHv2hzBcggy1dUeTFtt7BqGqZoos3XHHHZg+fTqWLl2KmpoajB49GrNmzcLo0aNRU1ODF154AQcffDDuuOMOAEB9fT3cbjfOO+88Lhu/v4AW+au2yCio1raCriStuCHT2jB72oIsXNQYCCMUFeF0CJbcXOh+KP08Vq/8qNqwJZEdtj1hgh5lYXNZFopr6sTWxk7ERYIin5t7OQaKHLcTh4wsBgA8/vF2BEIxFOa4cFB1sSXj9RXyvC4Wyt3VKp9DVPGxirjQ8OluhaK1qUEyudJQmRWYmkgD/6a2HaFoHKt2tgEADk0oiTZkDE9n8G63JsTfn1Dkc7MFPL2/dYVjlkVC+hKmyFJhYSGWL1+O22+/HaNGjcLu3buxatUq7N69G6NGjcLixYuxfPlyFBZKq5GqqiosX74cV1xxBZeN319AV5VWnXj0hkxPdn8oyoyrNRZkNA0tzIHTISASF9k4NINreLHPkurAlERsTyJL1q5+6IRDV+Wra6UJR1mPhDdo+OSbug45BDe0wNJsnCNrJBXpla/qpL/HlXMvN9EfQMkvDb1FYiKbIK0iS6MVSiGF8ne1CuMq8zG0MAfhmIiVO1qxaocUXp052rZQpIKSocZAGN0RSV2JxUWm1A+mUJQaqNq4oV4i8Rsb/CBEus/zbJXV1zA9K3m9Xtx6663YunUrOjo6UFtbi46ODmzduhW//e1vkZNj9xAyi1qLydKEocmS+7aEKbiywGuJP8HldDBTJPXzWL1CH5voMUQJIWBt+jUATE8oLt/u6UBbVwRbEsf1kFHWTThHjpOIy0ebm5gaYOWkCgAXHjE6qZ3DVfNrLB2vr8B8SwniUtfWDZEAuR6nZUbrA4dJxHpjfQCRmAhCCDYmyNKEIdaFxARBwNzx0rn09xU70eAPweUQMH2ETZZSUZLnYUUnaUHWPe1BZsK3IlOyP2FygiytT5Cl9Yn0/snDBlfI1hRZcjqdOOecc9jfBQUFGD58OAoKBlcmTF+DKUsWEYlUMyetmWNlnRxatJEqSlb6lQA5xX1PexChaByA3JbDKhI6tjwfBTkuhKIiXvqyFoRIY1lZzXfGqBIUeF1o7YrghS8kH+H3Jw+1bDwAKMp146mLDsWR48rw1wtnDroQHAVVeXYkztVdCsO+VcrdiFIfSnLdiMRFbGzwo8EfQiAUg9MhoKbS2qy0eeOlYoD/29AIAJg1thQ+z+ApB8ETbMGZuIfSekAThhYMSpVViUmpZCnxOMmipJK+gimylJ+fj9GjR3PaFBvpQImEVV3cGVnaFwAhhKWb047PVoBeYOv2dACwXlkqzfOwsvs7mrtACGE3tAMtWgE5HAIOThCH+/+3GQCYv8cquJ0Opi4BUlhzdk1Zhk/wwcEjivH8ZYfje5MHb+9HunigK+fv9nYkPW8FBEFg5POb2nas2yONPbY8j7WXsQrfm1yZlNV4y0mTLR1vIIOqfFT1Y+rKfmCIpwrShno/CCGKfR9cGbGmyNK0adOwYcMGXtvS56irq8Mll1yCYcOGwev1YvTo0fj5z3+Otra2PtumznCMkRerZM2xFXlwOgT4QzHs84fZeFZOAgclbsJr6jpACMHq3TRkZM0+KqtNb2/qQn1HCK1dETgdAiOLVuB7k6TVeSgqFaacN6HCsrEorjl2HDMjXzR7lGXp5fsbZoySzM2b9gXQEYyyMOdMC8OqgEREAWBNbQfe37APAHD4WOsJsNflxLOXHIYfzxqJP5873c6EywCqLG1OWBmoujLYQlFqqKnIh8flQCAUw8odrazm2mDbd1NkadGiRfj3v/+dtdbSQMC2bdswY8YMPPPMMzjssMNw/fXXY+zYsXjwwQdxxBFHoKWlpU+2a21dO0QiKQRWtB4BpJsiDTGsqW3Hl7skM6eVJztVXDbs9WNHcxf2dkieiENGFVs2JvXurKltY4rWAZX5llaaPu/wUWzcI8aW4dSD1avd88SBw4rw2a+OwXvXz8VP5oy1fLz9BRUFXowpzwMhwKodrfh6VyJDbIy1GWIzEmTsvfUNePObvQCAHxxobWiVojjXg7tPn4pTDh7WK+MNVEwYSpUlf0K1lu4vVqnW/QkelwPHJvq3XfzMF4jERUwYUmBZ7bG+gqnufi0tLTj++ONxwgkn4NRTT8Vhhx2GoUOHqsbvL7zwQjNDWY6f/vSnaGxsxJ///Gdcc8017PkbbrgB999/P26++WY89thjvb5dq3e3AwCmWRy+OXJcObY1deF3b61He3cUxbluTB9h3ZijynJR5HOjIxjF31bsAgBMrS5Crse6hpNH1JTjhS9q8cmWZjYONdBaBbfTgccvmIEXvqjFpUeN6TWVx+NysB5fNvhh5qgS7Gjuwt8/34VAOIZ8r8syNZTiqHHlGF2Wy7LwCnNcmDXWTuHvT5gwpAA5bgeaOyN4Z10D9vnDEARg4n6ixp09sxpvr2tgCvrZM6sHXT88gZho4+twOCAIQo8mj8qDRAiBIAiIx+PGt9JibNu2DePGjcOYMWOwdetWOByy4BYIBFBVVQVRFNHY2Ij8/J6hKb/fj6KiInR0dLAyCbxw2bOr8L8NjbjlpEm4zEKV4KtdrTjz0RXs7zMOGY4//WiaZeMB0ipk2aYm9veV82rw6xMmWjZea1cEM+58D4QAQwq92OcP4/ZTDsRFs0dbNqaNwYVXv6rDL17+hv199IQKPLPwMMvHffGL3fj1a98CAH51/MRBm3E4kPGz57/Gv7+tZ3/PrinD0p8c3odb1HuIxUV8708fYWdLNwpyXPjwl/MtTWThCa3zt6ll/DPPPGPm4/0GH374IQDguOOOSyJKgJThd+SRR+Ldd9/FypUrceyxx/bKNhFC8OXG9Sjd8hwgzMe0UbnojnZn+5hhTKzyorrUgbo2qTbIMZOKLR0PAC6cXYVlm/ewv+dOKLR0zBwPMGmYF+v3BtAcCCLH48b3DiyxfD9tDB4ce2AxDvjYw8pA/OzYkb1y/vxwWhkczokYWZaLg4YX2edsP8QPphTj3+t2sb/PnFG5X/1OL101AztbulBV5EOuN27Jvvtc1hRm1gJTZOmiiy7itR19ik2bNgEADjjgANXXDzjgALz77rvYvHlzRrLk9/uT/vZ6vfB6jbHrjo56XPLFOcABQAE+wMIPDX2NPgwBChLJTL/5GsDX1g9ZoBCSrvjE+vFQCBQoFg/Hv9ELY9oYXCgFChJRsF65Lm0MGCjvZ4u/lf7Z4IeVP16JXHffeKH4l0oegOjokMx4RUXq/hX6fHt7e8bvGTFiBIqKiti/e+65x/A2Ee/+Eeu2YcOGDRs2+ju4uGkbGxvx6quvYuPGjejq6sJf//pXAEBTUxN27NiBqVOnwucbuCXfqScrm/xXW1ubFPM0qioBQHFOHlae/SHEx+bCEdgLnPFXYOKJhr8vK8J+4IGDgHhE+vuYW4HDr7JuPAD45H7gk/+T/z7pj8DBP7ZuPFEEHjwYCCoyGy98E6iead2YNgYXWrYDj88BkPBp9sZ1AgD+vcBrPwFKxgDH3grkD956VgMWyx8ClikWyEf+HJi3qM82p9fx7avA9g+BIZOBWVcBFoTLfK6+4xGmydJf//pXXHfddQiFQszMTcnSvn37cMQRR+CJJ57ApZdeanpjrQJVjqjClAoaXkunPFEUFhZyM3gLgoDc3HLggOOAr54BGtYCU8/i8t2qWPcaEAvLf295D5jzC+vGA4BNbwOEAMUjgfbdwO4vgJmXWTde/Vqguxlw5wEHfB9Y/waw42NgzFzrxrQxuLD5bYCI8t/fvmr9dQIAn/0Z2PO19K+zEbj4LevHtKEP6/8l3c/GHi2Rhm/+ARx7myWkod8hsA/413UAiQPrXgVGHQWMHFzmdlNhuPfeew9XXHEFxo8fj9dffx1XXZW8wpoyZQoOPPBAvPHGG2aGsRwTJkwAAGzevFn19S1btgAAxo8f32vbxFB9qPRY96W143z3uvQ4Y6H0WLsS6Gq2brxIN9C4Xvr//N9Ijzs/k242VmHbB9Lj6KOkfwBQ/0369/PCyieAO4fIx9jGwMWuRMbo3Bulx8b1QNDiorWBBuCbF+S/d34qPWej/8C/F9j3LSA4gdMeBRxuILBXWgTuD1j7okSUKFY/13fbYhFMkaU//OEPqKqqwkcffYRTTjkFlZWVPd5z0EEHYf369WaGsRxHH300AODdd9+FKIpJrwUCAXz22Wfw+Xw4/PA+YMqULO35GojHrBtn7xrp8ZALgCFTpNXzTgsd1w1rpYsrfwgw+VTA4QL8ddbeXGq/kB7HzgOqDpb+bzVZatkGvH0jEAsBL18s3VStBiHA2peklV7bruzvt6ENYlw+hyadApSNA0CA2lXWjrvlXSk8PnyG9A8E2PQfa8dUItgu7buN9GhYJz2WjwcKq4CKhNO7YT9xeK9ZKj0elOgV+93r0oJ4EMEUWfryyy9x8sknZww9VVdXo6Ghf6+CampqcNxxx2Hnzp14+OGHk1677bbb0NXVhQsvvBB5edY2rlRF2TjAWwTEgkDjd9aM0dkkhacgSBc5JRJN6kobF+xJpNoNnwF48oBh06W/a1daN2ZzYn8qJwNDDgQgAJ37rF2lL38o+e8vn7ZuLIrPH5H8LV8tAd671frx9hfsWwdEAoC3UDp/aJhh93Jrx93zlfQ4eg4w8WTp/5vetnZMivVvAn8cDzx7ik2YMoGq5JWTpMeqg6THhrV9sz29ia4WoGmj9P8Tfi8tgCOd0vUyiGCKLEUiEdUijUq0t7fD6ez/naofeeQRVFZW4tprr8Vpp52G3/zmNzjmmGNw//33Y/z48bjrrrv6ZsMcjsTEDqB5izVjNCX6+5WMlohLeSLc2GwhWdq7Wnocdoj0WJlo0tmy1Zrx4lGgbYf0//IDkvez3sIbGiV/BxyX/LeVWPuS/P+N/5FuZlaDEKBxg2SiH6xQEnyHExgxK/l5y8c9BBgzT/o/VYKtROt24JWFQDwM7PoUWPm49WMOVFCyNCRxHxs6VXrcH5SlfYl9LBkD+ErkxfYgI4qmyNLo0aPx1VdfZXzPypUrmSeoP6OmpgZffvklLr74YqxcuRL33Xcftm3bhmuvvRYrVqxAWZn1jSvTomS09Ni205rvb0ysCuiqiJGlTdaMB8hEjN5cShPVyVu3WzNe2y5AjAEuH1CQ6HM1dIr02GhRmDgckAgEAMy6Unrc87W1K/TAPqB+jfT/wuGAGAXWvWLdeBT/Www8cjjw4o8HrwJBz82KxP2sPPHYusO6MaNBYF9CUR4+A6icCEAAuhqt9RQCwIa3pGuGYsXD6d+7v4MpS/shWaL7SO+ng3TfTZGlU089FR9//DFee+011defeeYZrF27FmeeeaaZYXoNI0aMwDPPPIP6+npEIhHs2rULDz74IEpL+7gPU8ko6dEyspQiIdPJoHmrdUoB9SYVJ/aNkSWLJp6WhCpXNk5S6wBpJQQAHbXWjLl3NQACFFYDY+cDngJJnraKnAHAtvelx6ppwKGJDFSr1axdy4HPHpD+v/ltKQw4GEHJEj1XSxXnjzKTlCfqE96+vEqJ/Hry5MXTPovC8hRb/yc9HnOrZFz21wHtFl0rAxnxmGxZoGSJPnbUApGuvtmu3gL1aw1NhB5tstQTixYtwsiRI/GjH/0I55xzDlaskDJF/vKXv2DBggW4/PLLccABByQ1prVhAPTm2G6RWbcpoSBVJMhS8SjA6ZF8UlYQiXAACLZK/y9JJUsWKUs0hFk+Tn6ueKT0aJWpnGYwVifCNtUzpL+pSdgKMBP7fGBI4qa1z+IEC2WmFiCVoRiMSCVLeRWAJx8Ase4couru0ClyCjoNy1tJuiNdwO5E5t/kU+XQCn3OhoyOWilU6cqRF3++EsnbBgx+gklJ0RCqLCVI077vrE1K6mWYIkslJSX46KOPcNRRR+Gll17Cu+++C0IIrr32Wrz88suYPXs23n///b4xRg8mWB2Go4SIjuN0AaWJRp1W+KToxOIrBbwFyWMHW61JxaZeqDJFSxuryRKdzKh5nRnnLQxv0v2snKTwum22TvkApFR2ADj5Aelx72qgu9W68foCoiirnpQsCYKsTlpF8lPHBGTVwkplqW6VlIFXNEJSY0fNlp63yVJPdNRJj0XVsmotCNKxA6xTrvsDxLjCUpG435SMAdy5UgawVQv8PoDpdicjR47EsmXLsGbNGjz66KO488478dBDD2HVqlX46KOPMHz4cB7buX+DEomOOsmozBNiXE5nLxymGDOxQrLiQqfp7JSsAIA3X65KbEUojhIieiyV47fvtqa+EyW3dEKlj1aRXkAmt2UHSL9nTpEUxrHKrN+xRyIKggOYcmZCnSTAjo+sGa+v0NkgKa2CM/m8LbWYLNGkBHruAHK4nGYgWQGqRg6bJk38NPPPSlV0oEJJlpSwejHWHxCol3yRDpe8/w6HTBQH0b5zaXcCSPWUDjroIF5fZ0OJ/CGSxBsLSeRFuco0i85GaTIVnEDBUPl5SpysqAtEVxuUkFGUjpVS+Vu3S5k/PBGolx6VhLCoGoAARLuB7hYgr5zvmG0p+8kUQot8WSG/NKkDUrhREIDKA6XU9n3fyV4Cntj1mfRYNQ3IKQRqjpayK3d8Ahx4Ov/x+gqUDBWPBJxu+XlGliz6Ten3Kkk+vf6trKFFM2RpaJ6GWFoSPkaH6XX24IE/QZYKU8nS4CMMPUBDjIXDJKsBRfEIKYQ8iFQ1+4wfCBAEORbO+8Lz75EeC6qST3aaMRawgixRc/fI5OcLEyokJTY8wdQzhdLp8kr7DfCXiyPdUsYSoDCxU2VplzXG+dZt0mNepaQoAXK2Ic3K4w2awk7T6GkpCCv9NH0BphKOTn7e8izOxLilCmWJXjddjVK2nBWg5wtVsYpGSFWpYyH5nmFDQjplaX8Iw9F9K0q5lzNlidO+t9fyj6rohGllKRqN4o033sCqVavQ1taGeLxn2rAgCHjqqafMDrV/o2CoxNQD+/h+L73QlYoLIFWhBQC/BcQlNROOgipbvItEhgNSo2BA3i+K4pFyW4LhM/iNSffRWyiZPQFp5elwSWbQwN6eN1ezaKa+LIWJ3eqMP5plWJEoN0EzKRs3SKHNwdIXiymTKbYCRvAtKGwabANC7dL/lSTNV5LIrAxIkwg99rxAa2YBMllyuiTC1rxZUpeoamJDCkUDGcJwg5gssXt5yvlA953XfeeFc6Wxzn0BGH0kn+/UCVNkac+ePfje976HzZs3g2TwfNhkiQOon6eTM1miq8Si1EnAwjCcWkgMsI4sUcLnLZQN5RRF1UAtZNLIC1SpKh4lEwanS7qJtG6Xwiu8yRI1dysz/ujvynv/KJQeKUCq0SU4pEm+c19yaHcggy5SUveHXZcWkCUagssfIpUMoBAE6Txq/E6aQHiTpY5aqcSFwy0negDS/ylZqjma75gDGUxZSrmH7g9hOKYspSFLPIhix55E4UtBbiPTBzBFln7xi19g06ZNOPfcc/GTn/wEI0aMgMvFzQZlQ4kCq8iSSngKsDYM15kIT9GJhiI/MRHx3ke6DwVVPV8rsGjMVL8SRckYiSy17QDGzOE7Jr1xKRU7FgqwIHQSC8uksDxBltw5iX3cJqkTg4YsJQh36v7Qv7uapTRpJ8f7XzoFFlCQJQt8SzQZoKwGcHnk58sSxMmqkONABSNLKYSB/t3ZIIWQlF63wQJKhlKVJZ4G7y3vSo/VM4G8visOberKfu+99zB37lw8//zzvLbHRjpYpSyli7dT1SfUIdVc8XAq/0CITJbyKpJfo4SQu7Kkku1HkZ9o/ky3iReUypISJRZ5zwB1xY6Fifbyn8xbd0gNlz0FycS3cpJElpo2Dh4Fgl53qQQ/t1xKjiBxyUOkdo4ZRToFFrA204oR/THJz1OyZFVLooGIUIcUDgV6LjhzyySVlYgSmU61AAwGpFWWEn/795i/72x5T3o84AfGv4MDTBm8Q6EQZs2axWtbbGSCZWG4NKpLTmGi4B74+pZCHZJnB5CJCoVVylJGsmTxcU2V5pliZ4WJXUX9yB8ihVOIyD9U1KIo9Kn0JlGp3Mp6Ur0NSuBTrxOHQz6PeZN8pmapTLJWkiVG9FNMu6W2stQDNDzrLQI8ucmvOZwSmQbkZI/BBELkxXbquZI/NHHfiZu77xAi13E74HvGv4cDTJGlKVOmYNeuwVN0ql+DTuq8Dd5dTcnfrwTzLXEM4dDxvIWA25f8GlWWwn6+LQL6QllKF2q0ypcFKMKNiv10OOQVLW/fUouKoRxQZP3t5DteX4EQmUwXqFwnVhFuRtBUQpnFFmZasZpkKaooVZ/9e62pSzYQ0Z3oz5dfof46u7809c729CYinVLZFaDnOapcRJi5LgINQLhDUm8rDzT+PRxgiizdeOONePPNN7F+/SBLE+6PsOqGTJtxpobEksbkSCTSheCABIFKrM54konONOZcwLrjmi5sQ1UC3mQp0i2pdkBPuZ/5ljiTJbaqTJlUrSpz0VcItknVrAH1RYVVBDhTGM7KLLy2NCFkuh3RbjlLb38HXfyp3c+Uzw9GZYney9156jYNWrfOTMNn2u6ndEyyf64PYMrAUFlZiR/+8IeYPXs2fv7zn2PGjBkoKipSfe/cuXPNDGWDrmhD7ZKx1uU1/52xsBxvVzPO0ZO928TJngpGIip7viYI0mTUtkN6X1lNz/cYQaYbGp38ulv5mjB7W1miE6s7T+5JRVFoUUYcNY2nTubKtOHBUMCQHltfqfp1Z8WiAsisLCnPI97HOF0Yzu2TjkGwVVKXaEmM/Rn03pKbxnhslXLdH8Duq2mK+eZx2HfaoLicc8anAZgiS/Pnz4cgCCCE4I477oCQoaaKWv0lGzqQUyw1t41HJCKReiMzAsr4HS7p+1PBVkUcJWQW9lMhS4A0CbTt4OvpyUSWfKUKgy4nE2Y0JEnHQE95nipL3c1ALMJvtaTM1kq9Dq0qA+FPU1+mcLh0TOMRya/A0/TcF0jnV6JgGZW8CXCGcSlBE6MSeeFVfT7cKVWzB3qG4QDptw22Sv64IX0bFukXyKTMK5/neQ/tL8h2L6fPm1HVmgcJWfrtb3+bkSDZ4AiqunTUSr4lLmSJrorK1YsH5nKQUVPBwnBpLjB2c2nhNyb9LrUbmsMhPd/ZIJFQHmSJ3hycnp4kNLdUMj6K0QTp5VTcz58hZENvWjwVQiC9F8zpkozt7bulkM5AJ0uZ1FDAGj9huFMupKqmLDnd0nnb1SQRZV5kiYZOc4rlKvBKFA6Tat7YVbwlZAvDDWZlKeu9nGMYjha77UOYIkuLFy/mtBk2NCGvQiJLvCY9+j1pZdSEtNzNkbhkm3hyS6XHIKeu9bGwrPJkkso7G/jd0JQhuFQSKgiSUtCxW1IOeJGlTJlTVqxuoyH5/ElNmQYkv0v7bimkM+oIfuP2BbozkG3l8zzJKFWVPPk9C6lSFAxNkKUGfn3/mA8tzXnJKvtbUH9tICKrZ4mDutJf0RthOFr0th8oSwPcTLCfgRKJbk5EoisLWbJCWcp2c/FZtI/pQo0Af5N3NkLI/CYcQ40sZKNiQOaxwusxXmKydPnUvStW1pPqbdBzkV5/qWDXJcdFRSbyS5FvxXmUZVxKjG1lSUK2eygNww/GbDirw3DxqHxfS+3J2AfQTZbWrl2LxkbtO//NN9/gb3/7m95hbKghl7PSQy/03HQrAwsUCbZKT0fQOO8jXe3nlqU3wfLOWKFkKZ08bYXJm5FQlTHZ/nEkS0pzt1oIl2XEDYLSIvRcTKdM8ib4QPpsSiXYecQx/JfJVA5Y2wZpICKrZ4kShkFIlrSG4YwSxUADACLZGdJde70I3WRp+vTpeOyxx5Ke+8Mf/oCyMvWdeeONN7Bw4UJjW2cjGT7OIaqsYTgLsuGCbdKjL8sqndc+ZlOylGPymuw6NZjYAb6G4Ey/pTJMJIp8xktXdJOCKRCDYFKl52K67C96Iw+18zu+2RQLQFGGgqOy1JnFzG6TpWRo9SzxvPb6C7SG4YwSRWXB5H7gjdZNltQa5oZCIbS3t/PYHhuZwF1ZynKyU8Up1CFJojzQnWXi4R6Gy6JkAQqC1sZnzKy+LCvCmxlWuPS8ISK/faRhGDW/EjC4JtVsYTh6LhORX/2hbAsZwBqFMpuyZFVdsoGIeEwm0mltBYpzg3onBwuYNzNLGK67RTpWeuFXqNf9ALZnaSAhN3Hh8SYS6cJwvhKptxHAh6CJiskkm/+Dt7KUbh8BBQnlpdhlOa5WGOe7FOHGVDjdsl+LVzggXR0pCmW1Z6tBiNS018gNWQsYWUoTCnB5pP54AD8ymi28A1jkfcviWaJqQbDVuuM9UECvX8GRfvHn8kq1zwB+50Z/ATtH05AlXykAAQAxdq/LVJS1D2CTpYEE7pN6ltWrwyErPTwm2XCHtMICsoc0uBFCDWE4H2eDLr0ppiWEnJUlQjSEVDn7z7qyrCrpZBv2AyE/nzHVEOkCnj8beORw4PUrrBmDnhfpQseABQuZLMUOAUWYw4IsvHTKUm6pYgHFuRTFQAO9znOKMhcFpfe6wUSW4tHsWcZOl2LfDVwX6fqW9hFssjSQwNuzxPxDGSrx8jQH0/HceekrkNNtiXRKRRvNgpGIDJMObzUrm8eFtxcsHJDbcfSWWT8bCfXmy3V6rFSXPn8U2JroSr7uFWDHJ3y/nxD598xEXHgT7myJEMrXupr49GoT44rWQGkmKGVz2IFQO6hjj3Vknark2SqZD0ayFGyX/+8rTv8+M/ueLdTfy7DJ0kAC7xRlesJnuth5+qS6NZCznGJ55cqDvGQLoShf435c0ygRVhEXd17PzudsTErQOO1jpwbFrjfSzNe/IT0KTunx80f4fn/YD4iJcFM6pVD5Wm8mJtDXYkE+jae7miTlV3BkHpdHZebeQMM64KEZwIMHAXVf8f9+ep2nK0lCQcmEkmAMdFCi6C2SCHQ6mNn3TIV2+wCGyJJdtbuPoAxRmV1JEiKf8Jkudhpe4GFcZeGpDGTJoYj/8whpZMu+U74WbJdW12bBTOzF6q/zNs4zFSJTyIbWe+E0wdGJMiNZstjk3boDaPhWIkrnvig9t2s536wj+lu6c6XeaOlgVX2wTF47T55U5wrgQ7ypRyR/SOYJkJ1L/TgdnhDgP7+UiGSwDXjpAv7ZaOzeUpz5fYNSWeqFfU/XIaCPYKiC9+LFi1WrdzudGS4wG+ZBb8gkLk202U7UTIh0yivmTN9DiRSPCz1beIrCVyoRAC5qVpZMpqTXiHRcM703G2JhINqVeUxqnCeitI/p/CFaoWVi5al8xGPycU3nWQKsJ0tbEuG3UbOBmqMlQhNqB5o2AkMm8xmDEd8s5wRdyHA5vlF5cZIpDCcIiar+u6VzoHSMuXGz+ZUoBoKy1LAW2L1C/tu/B6hfDQyfwW8MLYtNQEEY2vmN3dfQYuFQvq53/iBEW62xXoQhZYkQouufDU5w5ygyK0zelOmF63BLk0w68LzQtag8AN+JXctF7XQD3kLp/2YJGh1PcEgStRqSjPMcfEuaTOwcf8fuFgAEgJD5tyykGXEWheHq10iPo2ZLv2H1TOnv3cv5jRHUQLaVr/NQlrRkWVEofUtmwZSlLGSJt0ppBXYliNK47wOTfij9f8v/+I6hxcagfH1/VJYokdQbmYh0AvGw9H9efQ9NQjdZEkVR9794nENow4YEXjdlpTkxU1iV54WercYSG5NT3SNCtK+AeB1XliFTnDlDhqdvSUtNHqM3LTUoM7WcGcRppixZRJYa1kqPQw+SHkfOlh5rv+A3hhZlEuCbfEEJtK80czgMUKg8PMiSXmWpH4fhqKo08nDggOOk/295l+8Y7B5anPl9g5IstUuPVhFFumBw+aRwcz+AbfAeaOB14bGTvbh3xlN+R7aJh2ZRmc1iiXQBYsITpJmgmZzstBJCnoZrVi8rU7ZWsfTI43fMVjaAwsowXCwCNG6U/k+byNLHpk38xtEaauGqLGkgvxRclaUs1bvZmBwapFoJQoDdn0v/HzUbGHu09P+9q/lk2FIoF0aZwPPa6y+wOgyn5Z7Wy7DJ0kADIxImq8Hqjrfz9CxpJUsm95Fus9OTOdQI8Ms01EoI6U2AS0kGDeoHzzCcllYcgLXZcE0bJSKcUwwUj5SeKz9AemzZyieVHpAJe06akCoFDeOGOaSpZ+tFpwTP0h6alSULekbyRPtuqW2Lww0Mmy4VSPUWSl7Plq38xumLBWd/gW6i2K7v+7WUfOll2GRpoIE3kegLZSnbaoT7PmYJNQL8spm0mth51lrSYkLmGYbL1kCTgipLoQ4g3Gl+XCUavpUeh06Vf9uSMVJmXKSTXwsQtqjIQpZ4nbOA9usE4BvOzVa9myKXcxkK3mjeLD2WHyBlMAoCUDFReq5pA79x+mLB2V9gtbKUrQtCH8AmSwMNbNIzSyTapcfeNCfSbc468RQmv98otBrKldtkVhnQOqYVxvmMylKxPJ5Z1UVrmCinUG4DwrMlBwC0bJEe6SQISG1HSkYlv24Wus9ZDsqS1vo9AGeypFFZUtYl648JPC3bpMeyGvm5ysR5QkO3PLA/G7z1FuTUu0jL1L6pj2CTpYEGXkTCyKrI7I2RhTQKM7+Pm7KkUeXhOaZmQ7AV4c0M+8kaesalit9moDWdHgCKLArFte6QHkvHJj9fNk565BVu0UyWFOeP6eukXXrUUhqEeZZMKpTxqEy4sipLid89HuFTDJM36G9fqiBLFZOkR57KkhF1vj+SSyPQHCUoTn6/Vujx7fUSbLI00MCNSLRLj1ov9HgEiHabG5OqNl6NZImbytOLZElrLJ9nWEwLeXH7AKeXz5ha0+kBORTXwZssbZceU2sLlSV8S82cyFJYp2eJxM1fJ1qvTYCfstTZCIAADlf21bw7F3DlSP/vj6G4VqosjZOf460saS3qC8jnjhgFokE+4/c1dBPFdn1FQW2Dtw3T6G2DtydPMkoC5lWQXleW+oAs0c/3lhdMFOXfMquaVcxnTC1tayisyIgjBGjbKf2/h7KU+JuSKbPQqix58uSWK71FuAGZLHU3m6tQTUNw+UMzl7wAJA8Q7z6VPEGVJWUYrny89Ni2g0+V/mhQ7seY7Vr35ANI+OrMqrr9BZo9S8WJ/xB9i18tvRF7GTZZGmjobdVFEPhM7PGYXNk6XbFGit42sfMcU6sSwYsshTukSuDK78w6Zru5MXUpSxaE4bpbEsdZAIpHJb9WNILveFrJkiDw8y0xwq2BjNKVNxHNnUusWnKGwqZJ43Ju78ILsTDQXiv9X6ksFVRJqpkYk/fVDOgCRXAmyFAGCALfbMm+BiHafXUur5yJrOf87LY9SzbMgrcCkm0SAPhM7MqbxP6gLGULNfIiS6x3WZ50Y8oEXqE/PZ4lK5Ql6lcqHC5VtU8ajzM50/p7Ar0fIgekyuX0XDITimNV4LNkOFL0V7LUtgsAkRILlBXtHU75XKRkygxodqe3IHumLcA3AaCvEe2Wws1A9ns5oCCKOlQ1LS2cehk2WRpo4KaABJK/LxN4kiWXT7rBZwJVniKdkiJlFHomHW5kSWOokW5TqMNc+ERrXSflmGaUJUIMKks8yVIavxIgT4jdLeb9IYRor7OkfA+3MJwGkg/w8S3Rz2pVlvprGM5fJz0WVfckMVR17OBAliIJspRNVaIYTMoSnTsEh7b99yYyYnWF4eg9xlaWbBgFb7JET2RNY5q40LWSiNT3mLm5sJBYsYYxOVUN1xqGo9tERHP7qEc940F6I10Kr0YfheHad0uPqSE4QNpHKvubJWjRoFwBXgtZ4jUh6smGAxRkyURFbVZoVG8Yrp8ZvP2JEhVqneqtIEterWTJAGHor6D3SKtUNVFxTzTTLJ4zbLI00EBvyLwUEE1kicOYesJ+TrfcMNjUmHr2sVh6jATMqVlawzbuHGOx/FRoLVUA8AnDUSXB6dHWs4lOWsFWIGIyS4xCqR6kQhD4ETT6WwpObfvKCHe78THjUXki1kKAAT7lA7Q0Y1aC1Vrqb8pSgiAXqpQ/oOcLjzAcLZmgtW/ZYArDsYW2hoUvoCCKGsNw4Q5IjbqhbaHbS7DJ0kADvSHHQpKZ0QjEuMJsrcOLwUPl0XqB8VDQ9IzJQ82KRaTfBdAYtimWHnmQF12+LBO/o9KvpGlVWSQTX16FKWkZAlrDKRVFnEJ/jOAXat9XwNzxVYZItZxDAN8wnFayZCYMFw4ATx8P3DMS+OfP9H8+EwKULKmcG8VUWaozP45esmTEt9NfEdbh41O+T+t9lV4D7lyp0Gw/gU2WBhq8hWBpqEZvysoLVouMzEPN0hOGAziRJerL0jAmDzVLeTPQombxCIvpqVLOIxSgx68EJJQeavLmFIqj36MWagHkidLspKg1pErB45ylxNlbKJmStYALWdJZBNBMGO67N4DdK6RJd/VzwOZ39X9HOjBlSS0Ml1CWeITh6L3Fo+E6B6wLw9V/A/z3ZmD5X3qv4KUeCwcg33+17rueKEQvwtXXG2BDJxwO6UYa7pBOKq2GTCXoye70Zs+gAnpf5QH0X2Bq0BOGA6T9jHYZ30/6OU+BtomOB1nq1qMscVjd6smEoygcJrUf4WXypspSoUoYDuAfhtN60+bhWdKTlEDBJQxH+/31Qhjuu9eS/373FmDc97LXd9ICeo4VqJGlRMPlvlCWeFx7qWjbBfz1+0A8EWHoagS+fwe/7///9t49XIrqzP/99m3fb8AWEDewAdEYCRA0Eo0goDFijKMnxnjUBAjOqDEX9cRnZs4vHnjMGM381JFMPBkTEiHmGU+iM16jRoMCCpF4GRWviMpNQATZFzb71nvX+WP1qlrdu6u61q26e/N+noenmt7dtaqqq2p96/u+611+yD74ug/bYcVSW2b9TTJbZR1ylsoRXfEi/WQQcYK32KbqyK10r3cTkRVoumIpbOdqokikTDKwbO5APtzRdyHzaQCzSd69nV4YwC8M5zpZmmE/2d/TpLMk01HoOkuDA0IRwJClA9wwnOw0Fp8CH6xjr/9hHbs2978LvGfIXQpylurHsGVvh37+nHSCt6FcU5HnbvPucQCwYQWwdY259fsh++CrGoYrMWeJxFI5optIqmqjajlLsnHuzLb1Kc5W3yMZEgP0OzsxxyUMJobyy0y6yo+DVk6NRNiP02goLAZ4rlJlo//vWpfp8HVGhwHqbqjOdSJTSJVTo+ksdR/0CpuGHaqtGob76BVWo6f5OGDcTOCkRez9DSv0w0jpXq+YYT6xVNngTdOie264pQNkc5YMheG624BX/5O9/s5TwOyr2evHrjM3kMIP2f5D9iEt7CwIEUNiqRwplrPUq/PELJn/oeuC8JtS2JAYYOC4Su6jiTCclLNkIFFfJZ+AD/HnxSR1cEfC+bhKgOeOHNKcL83NS5EdHq7j3LWxpZSzlBFLhxXFEnekqkcCiZCZGVws9R+Wq2d14D22PCozV9vsq1k6wI6NwNuPhF9PPvgAgmRV/rB0LOYJ6UO6QpqLJdm8HUNhuO0bWTXyUVOBCbOBBf+LhaXbtgNrbzHThh/SUQLVMBw5S4Quuk+w0k/MTXrtqbSpmxDpthfyZgYYcJYk99HE9CMqzpKWWOLtSdzImjOT2/I5u3ToCBjtxKkT6g7puBVileYwuMdX0Q0FBPErEebkzlJPOys9IIvsSDggk4CeEVYyeUv7t7Aln6ut8RjgSz9krx/+PrDh5+qTLnMBVDfGf/Ri3djMZzWnPFEdDWeqdMCH69ly0tzM+uuBr97GXm/8OfDMzfrTGvkhe29VdZYoZ4nQJmpnqRij4So0Ox7Z9oAihOEyHaJO6QDVnCVVESHrEALeHF3tO/WrartFB/PU0eFwZyndo/ckL5uXws/ZPgM5YTIhiOomVk0ZUBudpiKWVCfT3Z9xlrhYAoDTrwMmnMqc66dvBO46BXj70fDr5ITZD9dZ0hVLRS5K6YqlOd57xy8ETvsBe73+X4E7pwOv/M5MeyKuWLI08EFlkEMEkFgqR3TrHimH4TrVp+ZQdpZUw3CShdOA6MNw/MlJNQwnM6El4Im4wbRXD0oWlTBczShv+w68r9Yu59BetuQOQT4qarzQmc5wejeUG7ZDzHwu6jBcPCHMD6cQipMtG8BRmR/OdZameu9V1ACLHgXOvhkYO50JkQev9tybsIQSS5kkb90wnOx0JybDcN1twL432evWOdl/O/snwIV3szBnbzvwyPeB95/Vb1NEpiQLID9AiMJwhDFMOUuyMWdnUD/hOvRwU0M5S5GG4SST2HVzlvoPe9NxhHkKS9VCv0aXpOgFmAvB3SXdUFxnxhHgI5v84B2mTqdYLmE4wAvFqeQtqThLgOcshXWzuts8R4efD5xECjjte8A/rAVGTGLu3FsPy22Pux8Bos8VS5rOUq+kWDIZhvvkHbZsaMm/rzMuAa7eCMzKJM8/8gO18KwfsiVZZF01CsMRxog6DJesYtNbAAZyiCISS8UIw8mKUF2xxF2IWCLcTTseN3BcFQvGuWLpPbV2OWGcJcDMiLg+SbHEf4PBfvXq+iphOECv1pKb6xOybACnRjIM92nGVawb63+NxBPA5y9jr//n93LbE2Z+O1MJ3qo5S/1drFSDDh9nXKXRJ/h/Jp4AvvJTJqLbd3jlGkwgPd2J4KqFCf9T6QDCGNqdOndAQnYCsZi55GdZZ0k1/0PFATEVhgv7tKlbOkDMVwozHQcg3Lgi+h05POzy8Vtq7XJcZ6mAWDLpLIX9PcXPqYpRlTAcIBSJVMlZiigMx/PNgkYyAsC0r7PlrhflHBHuLAWJPlPOknTOkvA5VXees+9ttgwSS7zNEy9gr3MLgerQq3gvdwaYG14I2YmkI4LEUjlizFmS6PB0krwH0t5cdGE7AVNhuEidJUkngjtL6W61xGeVjlXnuDqOurM0fjZbbt+onlzuOF4nV1cgDMf/rpWzxK+TkB1iIulNjqzs3LWxZZTOkmoYTraKN3cF6wOS8wEWhquoBwb65MK2MjlLnYbEUlghnajwRg/K5mLlwsXSmBMLf/bE/4Mt337MXChONjJRUesNQAgThizR6U5ILJUjuqPTZE92QK+Kt+ycaeLndMNwKs6SaqhR9gZa2cBCaICau6TSseokmqZ7vBwpmeMKAC0nsw7j0F7g0w/k2wZYp8zbLyiWDIRbuKsZtpYO4P32qu6BG4ZTzVmKaDQcID8arpOHUAv8drGYJwR4yCkMYRwyE2UlHEc+DBeLeeeGTk6b4wD7Mu5sIWcJYKMMq5qYk/zxG+rtcgaFvNWw10UsJldkWGXEbQSQWCpHdKcfURJLGgKNfydVwxI5w2AswVtGLDWxpbazFFIsxWKe0FEpH6DjLKmcO/y4xOLhBSEnVQ0cczJ7ve15+bYBz5moHll4NnITk8vKOoWA3oi4/h5vlKJsGE6nMGWYXJ98yFbx7gzpLAGCWJLo4A+FmN+Ou2EDfeoOT7qXjSgF5K4DXSENsAcGLk7F8gt+xOPAMSex17teUm+XI4bRwt7ngPD7njVNlcR1FwEklsqRqBO8ddtUES582wb61JJlZZOtgex6ICpJmLJPXIBe+QAVZ0lHhIqjYFQmPeU1YV77/9Se6t3OtkC+EqA2rD0X2TAcoDcizhXMMXnnjouALklnqb/bc9Ckc5Ykw3Du71fAWQKAMZ9ly7DOUtb8dgFiqaIWSFaz16oVz0WRFdZZArzzSEcstW1jy/qj2QNIGFoyDykmxJK77zFv6pgw8ONUSKCK143MfTQCjnixtG3bNsRiMd9/l1xySbE3cShcuPR3qcWhdcSSSmKwSlJwVrKsSsejUjpA2D6VUJxK56ozIk7JWdIIw+nmEsz6NuuodmwEXvqt/PfD5isBwnFVFEvpXi/kJ+UeaAxMEIvxyYpRVWeJu0qJSnmBphqGC+UsTWNLnp9TiMOfAnAACMUy/dBJhge83zZVE34qJSC8YAji4Ha25FMIhaHlC2z5kQlniYcf68IPKgEkxFLmvpuqDT/1TkSU1tYUkRkzZuCCCy4Y8v60adOi35hCiDe1ng6gNuTkl5yoE7xVnKV4gl0w/V3s+9L7qNBmspJ15ulutp8yeSOOI5+zBOiJJS1nSeV35KMoFcVSYwur1rz2p8CfrmfHeM714b8vTmdRiGpNZynrCVfFWVIRS5lzQKW+jOpkumK+kkznB8iP5jwk4QyOaGXLjt1sgEihjtOd325E4c/WjGRzDKqeG7L5ShwTOUttO9iyaUL47/Aw3IGt7JrTyQXS3fdCrprKg3xEkFjKMHPmTCxfvrzYmxGORJI9wfZ1sg5TRkgMDio6S01sqZTrojjcvLI+I5Y0QkaybVY1Aoe65UWhmMcgc1x15ofTyVlSebo1kXg590csJ+G524FnbwamLGCzz4fBHRoeIrdGrAHkOPJCQHQPZJ5wKzU6RJ0h09xZ6v6UXeNhnSkurmoKuDH5EHP8CrU50C/8fiHEUu1RbPTYYJolYzeMC/48d7dqQtwLdZ0l2ZISHFcwaFTxbss4SyMknKWakczN69wDfLIFGP8F9fZdsVQj9z1ZZ6kExdIRH4YrW1RziPq7wOxqlHbOEqD3lK7ingHq+9mn6ES4T+cROUs6oQDZue/yEU8AC24EPnsB6wif/7fw35VJRObO0mBa7/xR7hA1QscqYpTvrzMody7xz4YRGUPabMq8cAqHrXkINZ4M11Y84YXr+OTJQciMItQpswCoOciAkLOkEYZTcZYALxl8/7vqbQPCvss6S2HFUuk6SySWMuzevRt33303fvrTn+Luu+/G66+/XuxNCkZ1dBo/GeMpuQQ9rdFwGs4SIN/xDA54T29RiSV+XFO1cvkmOiJUxVniNy0V50N27js/YjHgi99lrz9cFz6ZXmaIe0WNd36r5C3JjmzkaAl8xYcKgI0O5OFRmbwlfmxkSxUAXtgaKDyak9c1qh0d/vrgblL7rsKf5SG1MA6Zds6S4rmhc+1xVHKWAOCo49nyE12xlBkNJ/0QwcUSheHKnqeffhpPP/101nvz5s3D6tWrMWFCOBXf0ZH9dFVZWYnKykpj25i9csVEXfFklAlN6NQgcnNdZMWS4jBs8fMqYThA3VmSvYHqiCUlZ0nH+VD8HfNxzEkslNx9ENj7OjDu84W/I1sPqHok0LmbdaQ8ByYsyu5BkcQSwMLxve3MMeGdYyFkREY+qpuAzm72OwYdY3ekmoSDxcVSKGeJi74oxJLlvB0/BgcNOEua0w3xfU/JhuFCumoqxYQj4oh3lmpqanDjjTfi5ZdfxsGDB3Hw4EGsW7cO8+fPx9q1a3HmmWeiqyucbTp+/Hg0Nja6/2655RZ7G+4WF5QUL6rKXSfBWzW8UKm5j4lK9vQrg7Jjp9i56tR20nGWipWzxEkkvVICYWdFl52WQ3buMhHV3AkjYTjFjkJlMl3VIpgct/RFW4F2JMQMpyEzLUrHR4U/K7MfsvWhctHOWVIUS137WL5fLM4GS8hQdmE4EktWaG1tDRz+n/tv8eLF7ndHjx6Nm266CbNmzUJTUxOampowd+5cPPXUU5g9eza2bt2KlStXhtqOnTt3or293f33z//8z5b2GOrFBVWfXk1U8I4qZ0knSVB1dvConSXHUZuhPuwTXj5M5CyJtJ7OlrtfKfxZx1FwljLH5bBCPlifMERaBiPOkmIIQiUXR0XEiIQtqqriYLliKYSz5K4/jFgyFIaLOmeJh+AaWsIX9+Vwp/HgNlb8VJV+3TBc+eYsDYsw3JQpU1BVFT7/5uijC9f5SCaTuOKKK7Bp0yasX78eP/zhDwt+p6GhAQ0NESli1TCcSv0hQDNcpJmzpLqPKp266nQgbkJwRMe1v5sV7AQUw3AKN2xTOUsc/rR7IMT0Jz3tXt2jmgicJdVQi85oON2natkikYCQ4K0olqw6SzJhOO4shQnDaUwNAxQvZ0k1BAewchsVdWzb23YAR4Wo/p0P5dFwVDqgJFizZo2V9Y4ezeaXChuGixRXSEQUhuMiYqCXPZmkJJLDVTtZ1bokOrkfqnWIVApSAupiiT/JxxKSRRNDJlrmbdNgzhIAjJzMlp++X3joOXdLKhvCn3s6tZaUOwWNopSqDzIclcKU/NiohuGknSWZnCWJMJzMfrjVzjUreEeds8Srd8uUDeDEYiyn7OM3WPkBbbFEo+EIgU2bNgEAJk+eXOQtyUPUOUsV9QBiam2qdrLKYTiFqU7cNnkiu2Sbqta8qlgSqz3bqKSbD9MTXDZNZEPJ0z0sETsINwQnMSWHEWcpyjCcxnkLqBWm1A3DyTpLMg6WO+ltiP2Rccj4Z3ramEiXRTVvR3V0L8cdCafgLAFeAv7BbWrfB9TvczwhvNB9R2UC9Ig44sXSpk2b0NfXN+T9devW4Y477gAAXH755VFvVmEqFXOIVMVSPK6e5K0dhotInIltSh9XzZwl2alr+JO8bLVnfoMf6JWfKsd0zlIi6d3AD2wN/qxsvhKg5yzx3AzZUT9aYbgiOEuu6I7IWZIRZdwBSnd7Q9b9kBF9/JpxBhVH9yrMAQkYDMMpOEvi97TEEs9ZslXBu3SLUg6LMJwO//iP/4g333wT8+bNQ0sLG2GwefNmN7T3k5/8BKeddloxNzE/ymE4jZOxqpGFp6JKKlcuj6DxdKKas8TDLqrOEsDESFjnRHSWZBC3r69L7vtuOFWyzSBGTmFC6cD7wOR5/p/jYilsvhJQnJwlnVCLe94qOneusxQyF2eg32szqpwlmXYq6oBEBcvNO7wfqPBxVBxHLoE8VSVMa9Qmfw1pnxuKaR0q1btFjDhLqqUDyn803BEvlr71rW/hwQcfxIsvvognnngC/f39GDNmDC6++GJ873vfw5w5c4q9ifnRTURWEhKNQDsKP0WKDPR7T+nSpQMUbWutMJyqCOXOkqxjl2C/RW+HnFhSdZaSFawg6WA/O65hO4rBAf06QPkYNQV4D0wsBaHS2RrJWVIMtaR72LkvM2pJO2eJJ3iHdJbcSt8x9dBqaGdJIgGbE4sxAdi5myVj+4Wf+rq85P+wDln1iHD1ofK2p5rgrSGkBwe84pzaYbjtat8H1MNwwyBn6YgXS0uXLsXSpUuLvRnyqA5x1zkZVWoQiWJOuraTYlFKnU5H1c1SvYkAGceuQ06EqjpLALtx9bTJPeHqFPoMgt/A23cGf04lXKTjLCmH4YRzrrczvLhzHAM5S0Licpj58NyJexuZaFchrLPER56FGdovUjPKE0t+8N83URn+96oewdarMs2Qcs6SIJZk5yts38Wm7klUeNPAyCI6SyrzJQJC6QBK8CbKhahHwwFqRSK5sErVyNcG0a6zVAY5S4BakreqswSoOXZ825JV8oU+g+Az0HfuDf6cSvFE11nSqbMk2SkkUqzTBuSOb/9hwMlM+6LaUfAw3GB/uGtUt3o3EM5Z6u9mIS9APpGcb1tQaFFlsIM7gbXCuaGbs+QMMudRhoMfsmXTRHVhyx2pvk41txUwUDqgKzipXtW1iwASS+WKdhhOx1mSEBJawkWzlpRSnSUh4TrsnGWAvrMEyIklXWcJkHSWDI+E4/AZ6A9ZEEu8o+3rBNJDB3EEoiqWADWRzz8bi6udQwDrwLizEmoEmeZIOEAQHW3+n+Edcywhf/64SesBYskdeCCxbp0JrFXPDdH1ks1b+jRTi4yX21AhVeW5Uqp5S7phODiecM5lcEBwrshZIkzBhUTfIblOPXJnSUO4iJ2O44T/nk5eVlYYRUYU6ojQzE2+UChDRMdZUhFLpmsscerHsGXnx8G/sYpYqmqEW+5CJsQJqIfhALURcWLoWCU8wpEpuKg71QmQPV2Pn2MgTtYru29hqm1riaU2ue0B1N2PeMKbeFhaLGWcpZGT5L6XCw/F8ZpNstgUiuL7Kg8pliGxVK6InZZSp67hukTlLLlPL46kC6LRsScrvTCKjDNQLGdJxelREkuWnaWB3mBBo9KxxxNepygbdlCtswQIYU4FZ0lXjNaGEBcck2E4OP6FXHXKE7hiKcApU3E9VcNwWe6HwrlREbLeUC4mnCVAf0Rcn+JDRDwOpAoUxOXHJJ40G+o3BImlciVZwfJHAEm7X6d0gEKCt46zlKpm1j0gt4+6E5Kq5C0VK2dJKQynMCrHdI0lTqrKcyeC8pZUXRAeYpJN8lbNzQC8EILUdWnIuZMpTGnCWUpWem6Jn0ujE8KVcZZkjl2Y8GE+stwPFbGUEQz9BepG5cKdpRGazpJOraXBAS+EprPvvs6SkDiv465agsRSOSPbqYsjbqIKw+k4S7GYXv6Hasejkg+m5Sw1saWSs9Qk314p5SwBhZO8HUe9Y3dnmJcUS6qjfgD9MJwOMoUpTeQsAYWTvHWEdpj57lRcT1VniV8zsYSa+1HIXcmH43gJ3sV0lnTDZKHFUukldwMklsob2QTo/m69ETcqCd7aLo/kPjqOfhVY2ZGGg4NCHoNGzlJkzpJCJWFbOUsAm+QTAA59nP/v/YeFSYMjcJYGB7zRSimNBG+ZDlG3bABHZt4zE2E4oHD5AJ0Qbpj9UcpZUhVLQoeu4n6oPKjs38KugUSleo0ljk6tJf4AEYurCcVCjrZO6DsCSCyVM7Lzw7knaUzxiZnPmyZTZ0nhRpbVpmT+R383q0cCRCfQ+jWteSWxxI9rk3x7WmE4G85SZoSOn7PEO7R4Sv68VXGWsp6gVcJwCvXBTE3zEGb0GMdEGA6QcJYsh+FkrnddsaQ6tN0VSxJhuK2ZieInnsbSL3Rw65rtkp/uSBQzNoRi76Hsz5UYJJbKGdkwnBiCUznZlZwl7kioiiXJjod3OjpDsGXnwOMXeSzO8qxkkRVL/T2e86GVs6QwGs50zhLgjYjzc5bEBGHZ81bFWcp6gq6Saw8oTuiYE3XOElDYWdIJxfPzu7fDf7SkygOZG/puk9senZIS4vdkHlS2/oUtjz1TrU2RujEsp84ZAD55V+67qsU4OTI5SyUIiaVyRjaHSDs8FXHpAEC+49EVhIB8zpJ7kauKUC6W2sJ9nn8uFlerR6KVs9Qk314hCoXh3E5doW1eMVrFWUopJpoqFf0sQs6SO7mtbWcp876Ks8S/M9DnX8hR5YFM1Vnq1cyrkU3w7m4Dtm9gr489S61NkXgcGDeTvf7oZbnvGhOKBUoHlGD1boDEUnnDbyShxZJmKXmxdEDYuke684nJiqUezfay2pQ9roo3UFlnSSwbEFe4hFWebm3mLBVK4tVxQFTmh9MZCQfoheGM5SxJhOFKOWepoo49FASuXyNnKd3DQvdh0XU/UpKlA/72a7aNoz8LHPUZtTZzaTmZLaXFkkbtMaCwo03OEmENnTCcCvxG7gyEv9iNOUth99FApy6bs6Q7ikNWLOkUpAQUw3CGOvN8FAqV6YgllfnhdJ+gVUbDmZqkOExdIkBvCpJcbOYsxWKFrw8VMVZZ75UlkXGXdAZyAHLXXroXeOH/Za/n/F/mhtMfcxJbvrIauHsucPcZ4Y6B7n0urLNEYokwjmynriuWUjVC3SPZ0J9iJ+DWrAnZ8ZgYVRS1COWdTbqH5SMVQmeqE0CvgreNBO9CSdhRO0v9QhhOBZ3RcNpFKTNhuP7DwUnE/HjEk/phD5s5S+L6fcWSQj5dLKYWitMORUk4SzteYCK/djRw4oVq7eWDiyUA2PMasOdV4LHrCn/PehiOSgcQtlAOFyneHGMx+STvqHOWTOR+yOYs6RSkBDKCMPPUGOa31HaWNHKWrIThLIolJWeJ11hSDTcoTHJtyrmrbGCjBoHgEWTiMdV1LGw6S+L38oklsVSI7PpVxFKUOUtuYvdZ6pPn5qNhHDD7auDoGUDLF9h7bz7oVQn3o1/3uigwClf32FqGxFI5IytceOevM0mhclJ5VAneJnKWZEsy8OOqeJHH43LV0bWdJX7TkqmKbtFZ4u5Pf1d+Z82Es9R9MHyeXVHCcJoPMpxYLFyStzhfmy42c5bE7+UTY/2HhVIhsmKpiS1lqnhrjwiTKNvBSwaYGAWXy8JbgSvXA1f8BZhwKnvvw+eCv0NhOKJsiToMB8gJtIF+72lEt86SrLOkFYaTFYSaeQyAXN6SrrNUKZmz1N/jFYW0kbNU1Sjkj+RxgEw4S4Pp8L+nG4ZTfIJWCsMZdO7c8gFhahM16bfnio48Do3j6JedCLo2+HuxhPzvpRSG07zWwyZ4dx0A9r3JXk9ZoNZWWFrnsOW2QmIpojCcqkNvGRJL5YzbqYetB2RALMkUphQFjnK5Atk6SwZyP2RzlkzE2nmHEOYpN+qcJbeTium5kn7EYsGhOB2xlKr25i4Lm7fUpzFRqvg9pTpLBo6vO5luUNVrg9PXcMGVT4yme4DBfr22gsJ84n5I1+AqRs5SyKKU+95iy6aJ+qMVCzEpI5Y+fC7Yfe3TfIgoNAqXcpYIa0jn1ph0lsI4IJnPpGqAREqtPS56woaM3NFwZZSzBMgVydOpWwN4N6N0DzCQLvx50fVQKVUQBjcRO48boisOZat465YO4Ods/2E2dUohBge8jsKEeAlTmNJkWFV0fnI7W9f50SgSG8ZZUnGtipmzVMh1/OQdthx9glo7MrScwhL9D+1llb390J2OpGDpAArDEbaoVMxZMhIuCtGmkfwh1TCcRicgmzivm7MEyIXhdCbRBbJvRv0h3CWb+UocPuTddBgOkE/y1g7DCedBmFCceJ4ZcZZC5CyZrMjOzwtncOj+inXPlIvEBlwbOhM864ThbCd4c2cpCrGUqvIm6D3wnv/nbIfhKMGbsIbYqYdJXu0zEYaTyOcxkj+kWsHbQM7SQB+rdVKwTRM5S01sKZOzpOq0JCrYkyQQLhRnc6oTTpD74+6voliSLR+gG4ZLVnoj0sKct/wziUq1CUpzCeMs6YiMXFLV3v7mnr8mim0GJZDrCHmVKU+iKkq5L+MsHRWBWAKA5uPYcn8YsaQbhivkLJFYIkzDb0CDaf+pAESiTvA2cUNWHg2nIwiF74bZT5M5S1E4S7GYXN5SFM4SF0K5gibd5x3fqJwl3U4BEM7bEM6SqalOODUBIU23TYO/aVDhSBPuctCDBBc6SvPOaeQsKZcJ4aGoAGfJcaJ1lgCgeSpbBomlflNhuEI5SxSGI0yTqoVbnyeUeInaWTJQTTsrvybELNkm3Kx4QkjSDXNcTeQsyYyGy3xG1VkC5IYw26yxxPELw7lP/TH1yZhlnSXdMBwgjDgMc3wNFFIVqZXIWTL1m/qKJcsPEu713iS/3qImeB/yjwYcPpA572Oe42ObUVwsbfH/DI2GI8qWeFxOvETtLJkMwwEhQxqGOnaZvKWonSXd0gGA3LQLkeQs+Qga3pGpzoMnrlvaWdL4PWUKU5pwQ0Vc4RkgAkz/pr5iSXPexKB1i+9FlbOkW6uOu5XOgH+Iv207W9aPZflEUSAVhtMUS4P9zDEWSfd55UnIWSKsUBWxWHKTysOUDjAgXBIpb+i3TP6HiUrIsm0aSZxvC/5cus9LDtVyljI3JJkwkc2cJb8OUTe5GwgeaZcP3QregFwYztRUJ5wwIiAqsWT7QcLEaLjDETpL4hQ6fknebTvZsnG8WhsqNB/Llp27/c9ZdyJdTbEEDHVcxYEmlLNEWCFsTaCBtHdxauUPKIThtIVLyLwlsQimKWep1HKWTISlgPBDmMVtsuks2RRLdaPZsvPjcJ/vNzCEWSoMZzjMKYolv1CPyQRvcT2+zpLOA1rAsdTZD+449nWGG8iR7vVqRqk6ZYkkS+QH/M+N9oxYaopQLFWP8M4b3n4uujlFiZT/vnOBlqhULzNjGRJL5U5YB0Q8ObU69Sa2lCodoHlDDluY0kQRTI5MraUoc5bc5G7NmkcyYbgocpZsiqWGY9iyc3e4z7vF9zTEkkxhStPOHb9GnQH/9qN2lkwMuMg3OlUn96qqyRsVGpTfxRGvFa1zo0BhyrYdbNk0Qb0NFRpbMu37iSUDDxHuRMI5+17iNZYAEkvlT1inJ2t4coV6ezJVw41NDhpy+gh+DHSKYOa2Wei4DvQDA5kbuI4IdasUh3SWdKepKLXRcHzducfbiFg6mi079oQssWEyDBdRGFckVe09wecL6zpOdv0jExRylrTyv4Tv5oaIdOqqxeNemYWgmlRu25l9SVYzh0iVQtdeMcJwYnv5nKWBtHCf0xA0XGTm1ncr8bIBAIml8idsuMjUDVl0XAp1PMaSrUMKQpNDsMO2acrNCqqCLKJbzZojJZaiyFlqyrRlwVmqz4ilgd5wI+L6NessAZJiybBwicWC85b6upjrBFhwltqy3zfhusYTXiebez3qCnl35OAnhT9ryv2o8BEMHDcMVyRnKZ9YysopsuEsGRgIYBkSS+VO2DCcKbHE28tXrTcXN2SkG4YL2fGY7HTCVkfvMxRr58dooC+4ZpYxZ0khpyYqZ0mcIsSEWEpWeg5CoVCc43jHRKd0gNTxNewsAcFiiQuMeIq5UCawGYYD/POWdPMiw5RZ4Jga2h7WWYpcLHFnKc+UJ3xb40lW1FYVfk3lJrdTGI6wjmwYTvemlar24vxhQ0a6LkhYsWTSAQmbs2RiaDTAOtdY5nIMOq5FcZZ4XohFsSQKXPFcNiGWACEUV0AspXvZgwBQhNFwEYulKo0pSHLxy2XUHWrP8bsH6Ar52qPYUkYs6YaKgqp497R7KQ7c6YkK11kKEEupWr1zxu++Q2KJsI4bhisgXEy5LrFYeNdFt9I0x02WLZSzZHAIdticJVPzGYlVkPNN68Ax5SxVSiR4m5yh3o9khdeJiOeyKw51xVImybuQWDKVxBt2UAJgJyeMi+l8YsmGU+g3wbbJhwlxfUD26FfVfamRCMP1ao4G4wQNruAjNisboxcO3FnKl+BtSsz4OUsmctssQ2Kp3OFP+2FHw5l4eg3jZjmOmUrTgEIYzmTOUqHjatAVCDMizlRo033CK7B/g4Nm5vcKQ74aXqacJZ631Lkn+HM8NyNRqZfEG3Wx2FwCnSXDRTABu3WWgPz3APFhTfUBKcykwxxTScgVAc7SoYxY4uUuooSXKujczRK6RYzlaxUaDUdiibBFaAfE4A05jLPU2ykkkTZpthdyH01O+Bo6cd7gTNlhJtM1FdoMWzqgrxNAJuHcZukAIH+H64qlJr11u87SR8Gfc0fCaXYKQc5OLjZKM7hiqS2a9gpNd2IqVzJLLLWxZUU9SwJXQSkMZzHBm4ul+rF6bahQO5rlsTmDQx8qTMyXCIQYDUdhOMIWYacfMWWHA/7DvEX4jSxRoZ9EKp3EbiC8EDZnyeR8RlLOUpNeW2Fzlvi2JCrtT70QKJY0naURE9ly/9bgz5m6acvMR2fFWWpiy7xhOMMVwwH/0Zw2E7xNOJ5So+EM7UvQg0oxnaV43N+BNeUQ+jpLpT2JLkBiqfyJejQcIN+p6yaRhi5KWYzSASadpRBTnhhzlsKKpQjylTi559XggBDK1RRLR89gy72vZ4+2y8XEJLqA3Hx0UYfhbExYyn87Z8A7pxzHXC5KUBhOR/RJOUuG83byFaV0xdIYvTZUaRjHlrkObL8hx9V3NJzBNBFLkFgqd0KH4SIWEqY6dSB8UUqTo+HCiiWT9UEidZZCDm03GdosRO7+97TDDQHq7u+oY1kIoP9wgZnVTYXhMmIp3eNfqRlgc/3xUhEmjzE/XnnDcBbEWapm6CjZvi54IVxTCd55nCWd/eBi6dDHwSJabFvbXQl4UOkstlgSCriKmK4xRaPhiMiRHuJucFh9FJ06UKQ6S0KbQUUi3ZwME8c1jLNkKGk+rLMURY0lTq5Y4q5IRZ1e1XmA5bQcPZ293v2q/+dMhQMq6z3xEOQuiee07vB6kSBnyYZYEkdzumIpcyxjcX2nLt9DoYmHo6YJbNvSPcCnHwR/1nTOUr4HlaI7Sz65fW7tMVuj4SgMR9iG5+f0HQp+Moo6wduGsxRWEJqss+QMBgsKU7F8QC7B25izFDJnyXZyNyB0tpnzylTZAM64z7Pl7v/x/wy/iet27rEYUDOKvQ7KW+I1dVK1eqPvcuHnRz5n1NYw7Vyx5HaA9QZC8XncZRMPR/EEMPqz7PXe14M/ayxniSc5B4Th6osklnxzlgw5rn4jAU3eRy1BYqncES/coJCRqVEpQLjSAUadpSJMd5KqAWKJwu3aSJz3E0sD/d5NRVdA8JtS/+FgkV3MnCVTI+E442ax5Ucv+X/GxPQcnOoQeUs2XB4g+FyykeCdr01XzBg4lvkemEw9HI39HFvufSP4c8ZzloISvIuds5RTj8zYvvsIRSodQFgnWQEkM6OUgpwX1yEoQ2dJzFcIDInxm7OBjj0WC+domZyQtNBkuuL7puosAfmfcHPbLEbOkqmRcJzxp7Dlntf884hM5k7wJO9AZ8myWMqdPiaKNnPDcCY6wHxFKU25nmOnseXezcGfM5az5OPqDvQDhw+w13VFKB0A+BdvdX9LTceVRsMRRSVMTSC302vSby9M6QAbOUvOANDf7f8508UTQ9WTMui8FHKW+DGtbFCvK8NJVgrOWUCSt2nBEkRuLpzptpsmsE5oMA3sfiX/Z3jCvon8ITdvKEAs2ZqkWFxf7nUalVgy6Wbnmz7GVI7iWJ7L9j9DizGKGBs+75MveGgfW8aT0Vxv+WgQwnBZJSAMOT+F6izRRLqEVUKNTjM4pUKY2k5GnaVaAJmcBz+XRxymbKoTCBNuNDofXQGxZCpfCWDOWZi8Jf6ky/NvbDJkNFwbW5rqOGIxYMJs9nrHC/k/Y/Km7TpLAYUpbQmXZCWQzNQ3853c1nLOksl2gkoHaIfhprNpTw7vB954wP9zxibS9Uly5iG42tGs5lExqBsLIMYm9ObXPmCudEBBZ4nEEmGTQiPiBvo9JW9CLFUW6NQBs86SOB+d3z72HfImQDWVixGmLIPJSWbDOkvVhvKHgkblcCIVS01sactZAoDxX2TLXS/m/7vJUTluYcoD/p+xUU2b41tV27az1JZpJ7NvJjpAN8FbzFkydOxSVcCp17DXz93uH+o3Nnzep2xHsZO7AZbWwcspiCPi+gzVH8uX3O44NBqOiIhCYTjxZmmydEBUdZYAoTCl3z5m3o8n9SuGu22GKMvQa9KxEybSzXfDNuksAeHKBxTTWbIhlsbNZEu/ZF6TT7hhClMWRSxZajOSMJxQysPk6NcvXMFCr/u3AB+uy/8ZUx26X4J3sZO7OW6StzAiztR1wcNworOU7vWmxiJnibBKoTAcv3lV1JsZniyKiMHB/J8x6SwBhQtTiiN8dIcp57bpJ0LF0J/JMJxYBVnE9OgwKbHUbKbNILKSkge9/TV1DgHAmBPZsmNX/sRrk2IpzJQnJs+fXPKJJfEp3riz1JTdnsmqzPz3GEyzzhUwO/q1qgGY8U32+sXfDP374KDnzuvms/HrbjDNipJyil2QkpOvirfp0gFizpJ4/yFnibBKoYRr0y6Pe2N3/GetN+4sFRiZZrJCOadQeNN06C9fFWQR11kyFIYLUxmdd/TcJbFJpXBe9XbYcZaqGoGmzDxxH+dxl0zmLPH5vbhjkA+THX4u+cRSf7e9p3jfOksGR8MB3vVo2iE7aQlbvvvE0EEP/QY7dPH74rVXas6SWGvJ2ES6me+LQpH3Iclq/YErFiGxNBwIG4Yz1ckmq9js1H5tOo49Z8l3Hy2MKiqUs8SPq6nQXywWXJjS9DEt5Cyle70bWRRhuFSVVwajp93eSDy3rk6eoeImcyf8CvxltWcpfwjIL5Zc4R8z/xQ/RCwZrEEWjwu5Ppn1mr7mx5wINE4ABvuB7Ruz/8avkVhc/1pPpNgE40B27k4p5CwB3nkrlg8wPRIQ8ARoGYyEA0gsDQ8K5da4nawhsSRObZBPSPQd8p5ejblZBZKfTdZY4hQMbwplA0yF/oL2k/+OplyeQmKJu0qxRDRFKYHs/S+GWOozFGoBvCf0rk+ywy0itgpEAsFiyWS42q89k2UYgGx3eSDtdbamrvlYDJgyj73+YG3238SQsInjlu/aKxlnKafWkuOYS/BOpLwHbR7aK4PkboDE0vAgrANissMLKh/AO/V4Sv/i4rhTR/iMLLIRhitUZ8lGomygWMqIl2rTYslHZIvJ3aY7Vj+iEEt8eotP3h36N7eDN1GUcpTnIBzam/8zNs5bTr5zyeTEz4XaM50bJRamFM9Zk8du8ny2/ODZ7Pe79rNlraHcvVQpi6WcKt793cxtAwyVgskpnVAGZQMAEkvDg0J1j0wWpOS4QiIgt6a6yVwnW2jqCBthuEI5SzaqWweJJdP5Q4XqLEU5Eo7Dz6uO3SyvATAvlpqPY8v97w0ddWgyJBCLAfWZSsy5s7hzTBdSFQl0liyLM8cxX89JLEzJr/dklf4kyyKT5rLlvreyJyE+nBFLpq6FXGfJcUovwZuHj/lxiCfNCJpcoVgGU50AJJaGB4XCcFacpRDhIpPiLLSzFGXOkoV503Jr1YgYd5byTCEhUgyxxPf/4Da2TFSaKwXBGTmZhRb7OrPzidJ9rBgfYC4kUM87nt35/25yupxciiWW+GhO0xP2Vgrnq63yB7XNwIhW9vojocp7l2mxlOOu9LQDA5lRfsUWSzxnqbeDnZ+iw2skBOnnLFEYjrCNK5YKVX6OSCyZHgkHhBBLFoZgFxKh/HhHFYYz7Szx34eL2yHtcbEUwUg4Tq5YMnWDFklWACMnsdf7t3jviyOTTHXwfPoIX2epSAneNtrLHc1pOgzHr7O+TnvTxADAMSez5Ucve+/xa89UGC63MCWf6qSqkQ10KCaVdZ6b277TfDg8lVPF2+R8jBYhsTQcCB2GMyiW3Elf24b+zYqzlLlQ/aaOsDEEO/QIvAhE6OCgeWcpaOQdUFxnqW07W9qaI0sMxXF4x5WoZImoJghylrKm6InYWbIR8hAHfvS0C/lRFhK8bRbzbMknlrizZCpnKacwJc9pK7arxOHlNQ5uNy+W3CrePAxnqe6XYUgsDQfChuFMOj28o83nShTFWbKRbF2E8KafCO1t92o6mXJ6gkJ+ANC2ky356JgoyOcs2aB5KltmOUsWhjAH5Syle7zEWSvOUhNb+o2Gs4F4TpmssySup/eQ3WKe3Fna9ZKX02Y8DJdTyZo7S6UilkZkxFKbBbGU6yzRaDgiMsTcmnzTZIiz1ZsicmdJEEt5pwKxIAj58ervyj8beZSj4XgYIFXLJkk1QaEwHHd3+I0zCvj+8+rB1p0lQSzZuGk3ZoRm+66hf8uqeRTB6DSxTVtP8bzNQ/sEIWg6wbtTmJPRwn6M/RwbyXt4v3cN8Ic0Y2G4nHkZO0vNWZrAllacpZwq3hSGIyKDP10NptnTai78ZDeZexK1s8RDTwO9Q2frFrfDpMsj3ojzDa+30aZfaMzmb+jrLGU6Cn7jjALuxHBs5UtxsfRJnpwlU3WBAJZMDgCfvj/0b2Lo2MYs81nTx2TqnpkeoebXpjhVhukE7z4xDGeh/leqChg7jb3e9RJbmg5J504oWyplAzhNNp2lHFeNSgcQkVFRByCTBJsvv4Zf6KZyXYDonaWKWpZLAuQPxbkhMYNORLLSazPouJp62gQKO0smnRbRWcp16wbSQHumw2uK0FnKDfnZEmo8DNe523NbbAiJUceyZdcnQx8sbNZYArJDVLytqJwlfu6kas1NYSGmG9hM8AaEJO/MiDjTdZZySweUSvVuDh8RaNVZIrFUVPr7+7FixQosWbIEM2fOREVFBWKxGFauXFnwu6tXr8Ypp5yCuro6NDY2Yt68eXjsscci2GpNYjH/atMDaa/jNZmoG7WzFIsF5y3ZGPEHBOct2Zg3jW9/7nHtttjWYD8rPCfS8REbAp6ojPZpt7El5//j7bRTPQKozczdxpO8bYThKuuBuoxbdiDHXbKdP5SsZPNtAZ64iEosdWTCjiaFZ0UEpQM4bpJ3Jm/JtLM0JMG7lJ0lww9quftOYbji0NXVhWuvvRarVq3C3r17MXbs2MJfAvCjH/0Iixcvxp49e/D3f//3uPzyy7F582Z87Wtfwy9+8QvLW22AKh+x1NMGIOMa2HAl8jlLhw2P2uJwoZA7i/vggLffJgUaEFxrycZosYLOksFjWlHH6g0BQ39HNwQ33k6IyI8hzpIlsQQMHREnTmlhEu4uHdia/b5tZwnIU1XbsshwRzNmBgfYGJ0qFqW0dey4s7T71ez8K1Oj4XILwpZagjd3dPsOAfsz563x0XA5pQNobrhoqampweOPP47du3dj7969+M53vlPwOxs3bsTtt9+OKVOm4PXXX8e//du/4a677sLLL7+MkSNH4kc/+hG2bdtmf+N18Bvmzjv0qkYgkTTXXpCzZCM8BQhiKcdZEoWFaWfJb6ShjadNICfPZNB734azFIv5J3kfLEK+EsDyRcTjabP93BFxtp7um33EkukRVvnwm4LEVsiDt8dztEyJCyCnKKXF0XAAMGoK0NDCciRf/DV7r2aUuRpIFTnuSqkleKeqPJH/ydtsaepBdMhoOIvlLAwy7MRSRUUFFi5ciKOPPjr0d375y18CAH784x9jxAhPPbe2tuKaa65Bb28vfvvb3xrfVqNw1S+W6AeEUJHhGzJvr78LGOjPadNSfZ7ao9iy65Ps97krkqo1Vx+H4ydC+7q8irs2wpvOYHaRRFtunV+S98EP2TLKfCVOQpi+gtcpssFRx7Pl/swccfy8qjvKbDuus/Re9vu22hMZIpZsh+Gastsz+cAUVZ0lgD1ITD2LvV7/v9mydY659YvuSrrPexgqFbEEAONmZf/fWp0lCsOVDc8+yyZNPOecc4b8beHChVmfKVl8xZKF5G4g28ERnZ3+Hq+TNy2WeO5HZ07NGhtlAzii0yPCj2uyytxkwQB7onOTyoXj2m1L9DZl1t+W/f7Hb7Iln3Q2SsRkc5NuaC6us5QRMbacpaM+w5Z7N2e/z8VS7XASSznOrsnztVLYF9sJ3gBw7Jez/z9lvrl1ixW8+f0sUWGvVIYK4z6f/X/rOUvkLJU0XV1d+Oijj1BXV5c3v2nqVHZD3bJly5C/5dLR0ZH1r7e31/j2+uKKpZx8HludbDzhPdWJHS1vL5YwHxLjw8r5hJNum5n2TbcHCBMGt2W/L7pnpqfjyJe3ZCOZ3K8twOvYx37ObHthcAYLf8YEPGfpwPtsIATPG+GJ36bgT+gHtmY/zNhqTyT3942qdADHpLPEz/2+Tu/6s1E6gDNlfrZwnjzP3LrFUBSvwdXYEm1+YCFEsVQzylxx2orc6U6oKGVZ0N7ObiKNjfkvOv5+W1tbwXWNHz8ejY2N7r9bbrnF2HYWxBVLbdnv25zfK18Ix6aI4BM8+jlLphNzAf+kclviBchfWdv0VCduW01D2+o64NXJGXOi2fbCMOMStsx9sjVNQwsbLTbYzxLa3SRbw+KldhQwIjMXnTiFhussGc7tExHF0uCAIJZsJXg3Zf/fZM5SVRMQy3RZfHoQm8nxFbXAkieYM3j8V73h9KbWDTBXRRRLpcTR073X59xqrhhuSgjDRXFOGsKix61Oa2srtm/fHvrzixYtwqpVq+xtEIBYiI5/586daGjwfvDKSkMnVxh4px1VzhIAVDcC7cgWaKbrkYjwGiQ8GZJjq2wA4O1HblK5zXnT8jpLvCilYZs+Xxju44yrNGKS3TCHH/P/b+b6HPcVu+3E4yz5eu9m4JN3hBwiC3kjLSezPLBdLwPHZnJhbIkzkay52oQcOFsiIzch3+R9IB5ngkl0z22fn6OmAN99wfyDn5i3054ZOWirTIYqFbXAN3/P+pDPfcPgegVnKYpz0hAlKZamTJmCqqrwow5kkrlz4c4Rd5hyKeQ8iTQ0NGSJpUjhzpKfA2IjFu6OiBMEmk0RwZ2lQz5hOBs5S361naIWS7acJfe8EfZvz+tsKT5ZRkmqGpj1rWjaaj6eiaUdf2V1pQA7Qv+Yk4HN9wO7/ua95zpLEYklnq+UqDDnEuRSP5Y5Bzx51/T1UTMyWyxF4UaYFkqAj7NUYmIJAE74mvl1poSilOI5aWqkoSVKUiytWbMmsrZqa2txzDHH4KOPPsKePXuGCK/33mPJn8cdd1xk26REoQRvG506X6d487IZnuI5S70dbAg0z7uwGobzcZZs5YIBQ8VSf49Xk8T0ceU36LYd3nu7XmTLo2eabasU4XlLHz7HljWjzI+oBIDW09ly2/PsiTqe9BzRqBK8bZcNAJiwGDnZcyeND0gQzv94kgnrcoSLvIE+5moCpReGs4UoFG0PODDIEZ+zBAALFiwAADz55JND/vbEE09kfaZk4TcR3wRvC+Iln+tymNeOsfB0XlnvxbtFd8lmGI7vIw8vcvj/TTs9wNDQGP8N40nzT9LutAbb2NJxgJ2b2OsJXzTbVily9Ay23PMqW9pyecacyHKk0j3Atuc8VymWsDsCKp+zZLtjGjnJe2281pogviob7Lg+UVDV4N07dvyVLY8UsZTPWSKxVB5cddVVAICbb74ZBw96zsy2bdtw1113obKyEkuWLCnW5oXDz1niosLG02tesWTRyQKEEXFCkrfN0gHuPuaIUHeYuYXONXdkoxhKNd05cLHUtp0JpbbtbN/iKfsJ1qXApDleqQbAXs2jWMzLwXr3ieyyATZHQGWJpQgqhgPZ14Tphybxoc9mdfco4JMsc0oxDGcD7iwN9Hn9VRmIpZIMw+ly66234p13mLX56quvAgDuuecePP/88wCA008/HVdccYX7+dNOOw3XX3897rjjDkyfPh0XXXQR+vr68Ic//AGffvop/v3f/x2tra1R74YcYoK347Cbs+N4w+xtJK0WRSwdzaoDi0neNl2e2sx+9HUC6V4v18PmCJZcgWYrXwlg2x9LMMfj0MfAjoyrNG5m+YY4ZKioBY6Z5T3dmxwenstnzgVe+g3w1sNekrfNEByQXSTSZrg6q03B4TWdhyK6cLzYZ7kyagqbe47TaGhofqkj1qXj9/ESHwkHDFOx9OSTT2LdunVZ723cuBEbN250/y+KJQC4/fbbMX36dPziF7/Ar371K8TjccyaNQs33HADzjvvvEi2Wwt+ExlMM2uzqoE9SaYzE6TWD60hpU0+sWR7Cgd+QxFzbGzO2F3ZyMSEM8D2syFTUZoPrW+wUGE697jazANLpJhgatvOQnEfZq6bIyEEx/ncRUws1Y4GTv2evXYmz2cVyTt3A0/9L/beqCn22gOynSVXLFmsTQQALV+wt27xGhg11V47UTBS+O3HTj8yHk4A9sAZi7N6ap0RlIAwxLAUS2vXrlX63qJFi7Bo0SKzGxMVqWpWTTrdw9ylqgbPVapssFPwK18NIpvCBfDq1fDpOMQ2bbhn8TgTL137PLHU3+MJGVOF2kRy889sVWHnjJjIxNKnHwBb/szem3q2nbZKkVmLmSCeera9UWIAK+T6+cuB9f/q5YideIG99oDsCvTuRMGWxdJx5wAL/5UJANOI10C5O0tiGG7yGcXbjqiJxdggg94OL52iDMQS5SwNJ3I7WV64zdZ8Q/mcJZthP8BLHv00I5bSvV4nYHs/uWvGXaVUjZ3kXL8wnOkaSxyet7T5fpagX9kITDjVTlulSCIJnLwkmjDIF7IdbUy1XEvKrUPkePV8bIulWAyYfSUw0cI5JDrWtl0524wSxdK8om1GUeChYJ7OQGKJiJTcmjlcuNgIwQHZYslxgP5uoDdj9VsTS5kbDBdLPFE2nrI3qii3MKUYgrMxGsd17HgYLiMGbTlLPJH7/WfY8tgz7QyfJ5jj+u2H2ZP1qd/zCvTZIlnJqpQDXujatliyiXhelruzJIYRj6SHE8A7B7mALwOxNCzDcEcs9WOAfW96lYGjcpYG+lglVu68JKvs3ZB5GK7jI+YqiU6WrWHEueKlYzdb2gjBie31H2YCtMtypecZ/yfw+A0s3w2wm7dDMBfhH7fbnSRYpKoRONQ9PMSSKJCKUV3eJFUNwJXPMQFY4vOiGYePXG7jYqn0f0tyloYTuXOn8eQ5W85SRY331Hr4QHbukC3hUtsMVNQDcICD2+0O4ec05CSV257LqbKB1VQCWCjO3UdLv2OqGvjaz9nrM5cBLSfZaYfwiEooAZ444uevjRIbUdE8FVj0KPC9lwp/thw4ejow+oRib0X08HOSV3ovA7FEztJwgouijoxYspn4zKkZBXTsYmLJtjgDMhWCW9kUFZ9+EM0+8tAfT8q1ORIOYPtYPZI5St2fCu6ZRUH4+ctYsvGR9oR7JMA7pnRP9v/LlUlzi70FhC65gr0MwnDkLA0nfJ0l9bnzCiKOiItCuACeFf/J29FMRspDf59+wJb7MtMTjLSYYCrmgx2ynHvGIaE0PMkVR+UulojyJ7fWF4klIlJcsZQRSTx5zpYDAngipXNvNM4SAIybxZa7XvLysmy2KY7AGxwAPn6D/d/mRLNcLHXs8aZzsSkIieELiSWi1CBniSgqolhK93k5CjZHjfC8nfad0TlLLSez5a6XWN6S7TabJmSqXHcDO//G6oMkKrxJWG3AywTse4stE5X2Ky8Tw5PcRGgSS0SxKUNniXKWhhMNGbF0aC8LGTmDbIiyTUfCnbV+ZzQuDwAcPZOJl0N7vTbHn2KvvUSKzUN1cBvw9iPsvaM+Y3d4PXeWuFiymTRPDG/IWSJKjdwyL2WQ4E3O0nCidjSAGBsCvvMF9t6oKXY72aYJbNm2Azjwfua9ifbaA9govDGf9f5fMwoYfaLdNnmS9xv/zZY2qhOLcMdu54tsaasiOjH8yRJHscxoUoIoIqKzFE96/UgJQ2JpOJFIei7SNjZpsPXCbdxZ2r/FC/sddbzdNgHgs3/nvR4/2+7M7YCXJ8WdLB4KtAVPHrdd5JMY/ohiqarB/rVCEIUQc5ZGTgGSFUXblLDQVTPc4I7EO4+zpW2x1JQRS137ADjsicH2TOoA8KVrPXfnxAvtt3fKP2T/f/o37bYnzhsFkFgi1MkSS01F2wyCcBHPwzKpM0ViabjBy+bzYl82h7cDLKk8LqS+HXV8NLk1iRSw+E/AZQ8An/uG/fbqxwCnX8deX/Af9qepyBVLZWBTEyVKg1A81VYhVYKQQXSWbA6UMQgleA83Js8H/vqLzH9iwITZdtuLJ1iF67bMqLQoT/yqBmDql6Nrb8H/A5xypZdIb5OqBvb0xcsGHGkTbRLmGH8KcOGvWAj5M+cVe2sIItvttFnaxiAkloYb4kzfx8zyZpS3yejPemIpinylYhGPRyOUOFwoAfYTyonhSywGzLAcNiYIGcSRxMfMKt52SEBhuOFGRS3L4UlUAufeFk2b59zCZq6PJ2kqApPwyuE1zZSUSxDE8OJbDwEX3g0cPaPYWxKKmOM4TrE3otzp6OhAY2Mj2tvb0dBQAvUi0n2scGJtc3RtOg7Q21n+M4GXErtfBZ75F+ArPwWOKo+4PkEQRDkRtv+mMNxwJFkBJCMUSgCz+kkomWXcTODyB4q9FQRBEEc85O0TBEEQBEEEQGKJIAiCIAgiABJLBEEQBEEQAZBYIgiCIAiCCIDEEkEQBEEQRAAklgiCIAiCIAIgsUQQBEEQBBEAiSWCIAiCIIgASCwRBEEQBEEEQGKJIAiCIAgiABJLJUxvby+WL1+O3t7eYm9KyUPHSg46XuGhYxUeOlbhoWMVnlI4VjSRrgFsTaRbchP0ljB0rOSg4xUeOlbhoWMVHjpW4bF5rMKum5wlgiAIgiCIAEgsEQRBEARBBJAs9gYMB3gks6Ojw+h6+fpMr3c4QsdKDjpe4aFjFR46VuGhYxUem8eKr7NQRhLlLBlg165dGD9+fLE3gyAIgiAIBXbu3ImWlhbfv5NYMsDg4CB2796N+vp6xGKxYm8OQRAEQRAhcBwHnZ2dGDduHOJx/8wkEksEQRAEQRABUII3QRAEQRBEACSWCIIgCIIgAiCxRBAEQRAEEQCJpYjZtWsXvvOd72DcuHGorKxEa2srrr32Whw8eLAo6ylFDhw4gJUrV+LCCy/Esccei+rqajQ2NuL000/Hb37zGwwODoZeV2trK2KxWN5/Y8eOtbgX0WFyH4fzebVq1Srf48T/JRKJUOsaTufVAw88gO9///uYM2cOGhoaEIvFcPnllwd+Z+PGjTj33HMxcuRI1NTUYPr06bjzzjsxMDAg3b7JddlG5li99957+NnPfoYFCxZg/PjxqKiowJgxY3D++efj2WeflWp327ZtgeftJZdcYmL3jCJzrGzsn+nziuosRcj777+P0047Dfv27cPf/d3f4TOf+Qz+9re/YcWKFXjyySexYcMGjBo1KrL1lCr3338/rr76aowdOxYLFizAhAkT8PHHH+O///u/cSXKak4AAAz7SURBVMUVV+Dxxx/HAw88EHrkYWNjI6699toh79fV1Rne8uJhYh+H+3k1c+ZMLFu2LO/fnnvuOTzzzDNYuHBh6PUNl/PqX/7lX/Daa6+hrq4OLS0teOeddwI///DDD+PrX/86qqqq8M1vfhMjR47Eo48+iuuuuw4bNmzA/fffH7ptk+uKApljdeONN+IPf/gDTjjhBLfTfvfdd/HII4/g0UcfxZ133okf/vCHUu3PmDEDF1xwwZD3p02bJrsr1pE9rwBz+2flvHKIyDj77LMdAM7Pf/7zrPevu+46B4Bz5ZVXRrqeUmXNmjXOQw895KTT6az39+zZ44wfP94B4Nx///2h1jVx4kRn4sSJFraydDC1j8P9vArii1/8ogPAefjhh0N9fjidV88884yzZcsWZ3Bw0Hn22WcdAM5ll12W97Pt7e1Oc3OzU1FR4bz44ovu+93d3c6pp57qAHDuu+++UO2aXFdUyByr3/72t85LL7005P21a9c6qVTKSaVSzu7du0O1++GHHzoAnEWLFulsfqTIHCuT+2frvCKxFBFbt251ADiTJk1yBgYGsv7W0dHh1NbWOtXV1U5nZ2ck6ylXbr75ZgeAc80114T6/HDq1PwwsY9H8nm1efNmB4BzzDHHDBHofgzX86pQp7Zy5UrfTm3NmjUOAGfOnDmh2jK5rmJQ6FgF8eUvf1nqoa8cxZJIlGLJ1nlFYbiI4DHqs88+e0jhq/r6enzpS1/CU089hU2bNuHMM8+0vp5ypaKiAgCQSqVCf6e3txe///3vsWPHDtTW1mL69OmYO3du6PyUckB3H4/k8+ruu+8GACxdulTqnDgSzqtc+HlyzjnnDPnb3LlzUVNTg7/+9a/o7e1FZWVlZOsqN1TuYwCwe/du3H333Thw4ABGjRqFU089FdOnT7exiUXBxP7ZOq9ILEXEu+++CwCYOnVq3r9PnToVTz31FLZs2RLYGZlaTzmSTqexevVqAPkvBD/27t2Lb33rW1nvTZo0Cffccw/OOOMMo9tYLHT38Ug9r7q7u/H73/8e8XgcV1xxhdR3j4TzKpeg8ySZTGLSpEl488038cEHH+CEE06IbF3lxPbt2/GXv/wFNTU1mDt3rtR3n376aTz99NNZ782bNw+rV6/GhAkTTG5mUTCxf7bOKxoNFxHt7e0AWFJoPvj7bW1tkaynHPmnf/onvPHGG1i4cCG+8pWvhPrOkiVLsGbNGuzduxddXV3YvHkzrrzySmzbtg0LFy7Ea6+9Znmr7WNiH4/U8+qPf/wj2trasHDhQqn5HY+E8yofJs+TI/Gc6+3txWWXXYbe3l4sW7YMI0aMCPW9mpoa3HjjjXj55Zdx8OBBHDx4EOvWrcP8+fOxdu1anHnmmejq6rK89fYwuX+2zisSSyWCk5l1RnduOVPrKTXuvPNO3H777Tj++OPxu9/9LvT3li1bhgULFmDMmDGoqanBtGnT8B//8R+4/vrr0d3djeXLl9vb6IiIYh+H63n1q1/9CgBw5ZVXSn3vSDivVDB5ngy3cy6dTuOyyy7Dhg0bcNFFF+GGG24I/d3Ro0fjpptuwqxZs9DU1ISmpibMnTsXTz31FGbPno2tW7di5cqVFrfeLlHun+p5RWIpIria5ao3l46OjqzP2V5PObFixQpcd911OOGEE7B27Vo0Nzdrr/Oqq64CAKxfv157XaWKzD4eiefVW2+9hY0bN6KlpQXnnnuukXUO9/PK5HlyJJ1z6XQal156Kf7rv/4L3/jGN3DfffcZEYHJZNINHw/Hc05l/2ydVySWIuL4448HAGzZsiXv39977z0AwHHHHRfJesqF2267Dddeey2mTZuGtWvXGiv4N3r0aAAoa+u6EDL7eKSdV4B6YncQw/28CjpP0uk0PvzwQySTSUyePDnSdZUy/f39uPjii3H//ffj0ksvxX333Ydk0ly68HA/52T3z9Z5RWIpIubPnw8AeOqpp4ZUoO7s7MSGDRtQXV2NL37xi5Gspxy45ZZbcMMNN2DmzJl49tln3YvGBJs2bQKAsr8RByGzj0fSeQUAPT09uPfeexGPx7F06VJj6x3u59WCBQsAAE8++eSQv61fvx6HDx/GaaedFmqUkcl1lSp9fX34+te/jgcffBDf/va3ce+99xofLTnczznZ/bN2XmkVNCCkkCn619fX57z99tvO1q1btdZTrtx0000OAOekk05yDhw4EPhZv2P1xhtv5P3ujh07nOOOO84B4Nx8881GtztqZPfxSD+vOL/73e8cAM55553n+5kj8byyUZSyra3Nefvtt4cUYCzHopQihY5VT0+Pc+655zoAnKVLlw6pX5YPv2P1wgsvOL29vUM+v3btWqeqqsoB4GzYsEFtRyKg0LFS2b+oz6uY42SynQjr5E4nccIJJ2DTpk149tlncdxxx2Hjxo3udBLbtm3DpEmTMHHiRGzbtk15PeXI6tWrsXjxYiQSCXz/+9/PG1tubW3F4sWLAfgfq+XLl+PWW2/F/PnzMWnSJNTX1+ODDz7AY489hp6eHpx77rl48MEH3Zon5YjsPh7J55XInDlz8Pzzz+ORRx7B1772tbyfOVLOq4ceeggPPfQQAFYO4c9//jMmT56MOXPmAACam5tx2223ZX3+oosuQlVVFS655BKMHDkSjzzyCN59911cdNFF+OMf/5iVj7Nq1SosWbIEixYtwqpVq4a0LbOuYiNzrJYsWYJVq1ahubkZ3/3ud/Pux7x58zBv3jz3/37Hat68eXjzzTcxb948tLS0AAA2b96MNWvWAAB+8pOf4Mc//rGFPVZH5lip7F/k55W0vCK02LFjh7N48WJn7NixTiqVciZMmOD84Ac/GPKkyiua+lUJDruecmTZsmUOgMB/Z5xxhvt5v2O1du1a55JLLnGOP/54p7Gx0Ukmk05zc7Nz1llnOatXr3YGBwej3TELyO7jkXxecd566y0HgNPS0hJYsftIOa8KXW/5zpXnn3/eWbhwodPU1ORUVVU506ZNc+644468x/Oee+4JrM4ss65iI3OszjjjjIL3sWXLlmWt3+9YrVy50vnqV7/qTJw40amtrXUqKiqc8ePHOxdffLGzfv16+zuugMyxUtm/qM8rcpYIgiAIgiACoARvgiAIgiCIAEgsEQRBEARBBEBiiSAIgiAIIgASSwRBEARBEAGQWCIIgiAIggiAxBJBEARBEEQAJJYIgiAIgiACILFEEARBEAQRAIklgiAIgiCIAEgsEQRB5BCLxbL+7d27V2k95513XtZ6cuewIgiiPEgWewMIgiBswCfCzTfRZhgmTpzoTtZcV1entA2XXnopTj75ZLz66qt4+OGHldZBEETxIbFEEASRh9bWVixfvlxrHZdeeikANkM6iSWCKF8oDEcQBEEQBBEAiSWCIIYdy5cvx6RJkwAAq1evNp439OCDD2L+/PkYO3YsKisrMXbsWJx++um46667tNdNEETpQWE4giCGHfPmzUNbWxtWrFiBGTNm4IILLnD/NnPmTK11//KXv8R3v/tdjB07Fueffz6am5uxb98+vP7661i1ahWuueYavY0nCKLkILFEEMSwY968eWhtbcWKFSswc+ZM7dwjkV//+teoqKjAa6+9htGjR2f9bf/+/cbaIQiidKAwHEEQhASxWAzJZBKpVGrI35qbm4uwRQRB2IbEEkEQhASXXXYZDh8+jBNPPBHXX389HnroIXzyySfF3iyCICxCYokgCEKC66+/HqtXr8aECROwYsUKXHjhhRgzZgzOPPNMvPLKK8XePIIgLEBiiSAIQpJvf/vbeOGFF3DgwAH86U9/wtKlS7F27VqcffbZ5DIRxDCExBJBEMOSRCIBABgYGLDWRlNTE84991z8+te/xuLFi3HgwAE899xz1tojCKI4kFgiCGJYMmLECMRiMezcudPoep988kmk0+kh7+/btw8AUFVVZbQ9giCKD5UOIAhiWFJXV4fZs2dj/fr1uPzyyzF16lQkEgmcf/75mD59uvJ6L7nkElRVVeH0009Ha2srHMfBc889hxdffBGzZs3CWWedZXAvCIIoBUgsEQQxbLn33ntx3XXX4YknnsB//ud/wnEctLS0aImlW2+9FX/+85/xyiuv4PHHH0dVVRUmTpyIn/3sZ7j66qtRUVFhcA8IgigFSCwRBDFsOfbYY/Hoo48aXedVV12Fq666yug6CYIobShniSAIIg/r1q1z55Pbu3ev0jrOO+88xGIxLFmyxPDWEQQRJeQsEQRB5LBs2bKs/9fV1Smt59JLL8XJJ5/s/l93XjqCIIpDzHEcp9gbQRAEQRAEUapQGI4gCIIgCCIAEksEQRAEQRABkFgiCIIgCIIIgMQSQRAEQRBEACSWCIIgCIIgAiCxRBAEQRAEEQCJJYIgCIIgiABILBEEQRAEQQRAYokgCIIgCCKA/x9W6y7O1NDczgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scene = canvas() # This is needed in Jupyter notebook and lab to make programs easily rerunnable\n", "\n", "theta1_0 = np.pi / 2.\n", "theta2_0 = np.pi / 2.\n", "omega1_0 = 0.\n", "omega2_0 = 0.\n", "x0 = np.array([theta1_0, theta2_0,omega1_0,omega2_0])\n", "\n", "t0 = 0.\n", "tend = 15. # s\n", "cx = x0\n", "\n", "def calcpos1(x):\n", " return vector(l1*np.sin(x[0]), -l1*np.cos(x[0]), 0)\n", "\n", "def calcpos2(x):\n", " return vector(l1*np.sin(x[0]) + l2*np.sin(x[1]), -l1*np.cos(x[0]) - l2*np.cos(x[1]), 0)\n", "\n", "ts = [t0]\n", "qs = [x0]\n", "energies = [[kinetic_energy(x0)], [potential_energy(x0)], [kinetic_energy(x0) + potential_energy(x0)]]\n", "\n", "s1 = sphere(pos=calcpos1(x0),radius=0.04,color=color.red, make_trail=True, retain=5)\n", "rod1 = cylinder(pos=vector(0,0,0), axis=calcpos1(x0), radius=0.007,color=color.red)\n", "s2 = sphere(pos=calcpos2(x0),radius=0.04,color=color.blue, make_trail=True, retain=5)\n", "rod2 = cylinder(pos=calcpos1(x0), axis=calcpos2(x0) - calcpos1(x0), radius=0.007,color=color.blue)\n", "fps = 30\n", "dt = 1./fps\n", "for ct in np.arange(t0, tend, dt):\n", " rate(fps)\n", " sol = bulirsch_stoer(fdoublependulum, cx, ct, 1, ct + dt, eps, error_definition_doublependulum)\n", " #sol = ode_rk4_adaptive_multi(fdoublependulum, cx, ct, 0.5 * dt, ct+dt, eps, error_definition_doublependulum)\n", " cx = sol[1][-1]\n", " s1.pos = calcpos1(cx)\n", " rod1.axis = calcpos1(cx)\n", " s2.pos = calcpos2(cx)\n", " rod2.pos = calcpos1(cx)\n", " rod2.axis = calcpos2(cx) - calcpos1(cx)\n", " T = kinetic_energy(cx)\n", " V = potential_energy(cx)\n", " ts.append(ct + dt)\n", " qs.append(cx)\n", " energies[0].append(T)\n", " energies[1].append(V)\n", " energies[2].append(T+V)\n", " \n", "# Plot the energies\n", "plt.plot(ts, energies[0], label = 'kinetic')\n", "plt.plot(ts, energies[1], label = 'potential')\n", "plt.plot(ts, energies[2], label = 'total')\n", "plt.xlabel('t [s]')\n", "plt.ylabel('Energy')\n", "plt.title(\"Energy of a double pendulum\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Visualize\n", "def double_pendulum_plot(cx,ct):\n", " plt.xlabel(\"x [cm]\")\n", " plt.ylabel(\"y [cm]\")\n", " plt.xlim(-1.1*(l1+l2)*1.e2,1.1*(l1+l2)*1.e2)\n", " plt.ylim(-1.1*(l1+l2)*1.e2,1.1*(l1+l2)*1.e2)\n", " plt.axhline(y = 0., color = 'black', linestyle = '--')\n", " \n", " pos1 = calcpos1(cx)*1.e2\n", " pos2 = calcpos2(cx)*1.e2\n", " \n", " plt.plot([pos1.x],[pos1.y], 'o', color = 'red',label='mass')\n", " plt.plot([0.,pos1.x],[0,pos1.y], color = 'red',label='rod')\n", " plt.plot([pos2.x],[pos2.y], 'o', color = 'blue',label='mass')\n", " plt.plot([pos1.x,pos2.x],[pos1.y,pos2.y], color = 'blue',label='rod')\n", " \n", " labelrec = \"Double pendulum, t = \" + \"{:.2f}\".format(ct) + \" s\"\n", " plt.title(labelrec)\n", " \n", " return plt\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "double_pendulum_plot(qs[10],ts[10]).show()\n", "# write animation to file\n", "# system_animate(double_pendulum_plot, qs, ts, 'double-pendulum-1.gif')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ -0.09986969 -11.3005849 5.80334976 -7.99252127]\n", "Integrating the double pendulum from t = 0.0 to 10.0 s to accuracy of 1e-10 per second using Bulirsch-Stoer method needs 36978 f(x,t) evaluations\n", "[ -0.09987281 -11.30063724 5.80352847 -7.99276508]\n", "Integrating the double pendulum from t = 0.0 to 10.0 s to accuracy of 1e-10 per second using RK4 method needs 131576 f(x,t) evaluations\n" ] } ], "source": [ "eps = 1.e-10\n", "theta1_0 = np.pi / 2.\n", "theta2_0 = np.pi / 2.\n", "omega1_0 = 0.\n", "omega2_0 = 0.\n", "x0 = np.array([theta1_0, theta2_0,omega1_0,omega2_0])\n", "\n", "t0 = 0.\n", "tend = 10. # s\n", "\n", "f_evaluations = 0\n", "sol = bulirsch_stoer(fdoublependulum, x0, t0, 50, tend, eps, error_definition_doublependulum, 16)\n", "print(sol[1][-1])\n", "\n", "print(\"Integrating the double pendulum from t =\", t0, \"to\",tend,\"s to accuracy of\",eps,\"per second using Bulirsch-Stoer method needs\", \n", " f_evaluations, \"f(x,t) evaluations\")\n", "\n", "f_evaluations = 0\n", "sol = ode_rk4_adaptive_multi(fdoublependulum, x0, t0, 0.5, tend, eps, error_definition_doublependulum)\n", "print(sol[1][-1])\n", "\n", "print(\"Integrating the double pendulum from t =\", t0, \"to\",tend,\"s to accuracy of\",eps,\"per second using RK4 method needs\", \n", " f_evaluations, \"f(x,t) evaluations\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deterministic chaos\n", "\n", "Let us perturb the initial conditions a bit\n", "We track two systems with slightly different initial conditions\n", "\n", "After some time the phase space trajectories diverge!\n", "Despite the fact that equations of motion are deterministic, the system essentially loses all memory of the past.\n", "\n", "Let us follow the trajectories of two systems with slightly different initial conditions.\n", "For the second system we add $\\delta \\theta = 10^{-4}$ to the initial displacement angles $\\theta_1$ and $\\theta_2$." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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7Ox3qnBQdHU1kZOSI/47ejEknKj8/n8LCQtatW4fL5cLlcvHJJ5+wZMkSFi5ciNFo9JzQ165diyzLLF682LP95s2bATj66KMHDHMvXboUgG+//XZYW9R1ep8cVQoLC8nNze23fPPmzRgMhgG3OeaYYzAajV4d2xuOPvroAS8MaohcfS8GY/369QBs2bKFVatW9fun5sB37twZcJt2795NfX09MTEx/OlPf+p37AceeIDIyMgBjz1jxow+TpdKbm4ujY2Nnv+3trayZ88esrOzByzm1XO79axZs/oty8rKGva13jUI6kX88MMP55e//CUvvfSST7VE0ONEqSm8rVu3Ul9fz5IlS1iyZAl2u93jGKvr9P49jhQ1ldIb9XfX+7MejNjYWJYvX86XX37JzJkz+dOf/sTatWv96kILxGfiK+3t7dx+++3MmTOH+Ph4DAYDkiR5nODy8vIBtxso5TISBvoczGYz6enpXn0O/iLLMv/9739ZunQpqampmEwmT33Ptm3bBv37vaG9vZ1t27aRnp4+rMPZ2trK3r17yc7O5qCDDur3+lDXlXA5X6nn5mOOOWbA14f6G739nZ5yyinExMRw5ZVXcuaZZ/KPf/yD7du3e2o9A82YrIkC5cT9z3/+ky1btiDLMg0NDSxZsoT4+Hhmz57tcaLUx953vs3NzQBkZGQMuG/1zkJdbyjUddLT0wd8PSMjg3379vXbJikpCbPZ3G99k8lESkoKNTU1wx7bG4ayS7VlKNQivn/+859DrqdGGgJpk3rsH3/8kdtuu82nYw9Wi2YymfoUX3rz+emVgf5G9aZgqNfsdrtn2emnn84777zDvffeyxNPPMHjjz8OKCe8O++806uIUU5ODhMnTmTdunU4nU7Pb27x4sUkJydjMplYvXo1J5xwAqtXryYuLm7AE6q/DPW3Op1Or/bx4osvctddd/Hcc895GlAiIiI466yzuOeee0hNTR2xLd5+Jr5gt9tZvHgxmzZt4uCDD2blypWkpqZ6zi233Xabp6j9QAL93R7qN+ft5+AP1113HQ888ACZmZksW7aM7OxsT7Tiqaee6nf+9QW1TswbaYCRXFfC5XwV6L9xoN9pfn4+mzZtYtWqVfzvf//jlVdeARSH6ze/+Q1XXXXVyP6IA20I6N7CiMWLF/PPf/6T1atXezxU9e52yZIl3HnnnTQ0NLB69Wri4+P7FD6rH2ZVVdWA+66srOyz3lCo61RXVzNt2rR+rw90jPj4eBoaGrDb7f0cKYfDQV1dHXFxcZ5latTG4XAMaMNQBaHV1dUDLlftGu5vVF/funUr06dPH3Jdb/HWJvXxtNNO47XXXgvIsQ+k9+c3lE0H0vszOTCa6UuB7lCf7UgLfb3lpJNO4qSTTqK9vZ2NGzfyzjvv8Nhjj3HSSScNWxCssnjxYv7+97/z7bffsnr1asaPH+9Jb8+dO5ePP/6YyspKdu7cycknnzxgBFhLIiMjPRHO0tJSPv30U5566imeeeYZSkpKdNtg8Oabb7Jp0yYuuOCCft2glZWVQ958aDFJIdDU1NTwt7/9jYMPPpgvv/yS2NjYPq8///zzI9q/2sTgTTQrkNeV4Y7h6/kqUITibwSYMmUKL774Ig6Hg61bt/Lxxx/z0EMPcfXVVxMdHe3p3A0EYzKdB8pJW22TXrNmDQcddJAnNLhkyRJcLhf/+c9/+PHHH1m0aFGfUKkalv38888HvHitXbsWwKuOM3WdgU6yRUVFlJaW9ls+c+ZMXC4Xn376ab/XPv30U5xOZ59jJyYmAgy4r5aWlgHbSlU+//zzAdte1dbi4ULURxxxBMCwtVO+4K1NkydPJiEhgQ0bNvh9pz4csbGxTJgwgfLycvbu3TuoTQcy1Gfii3xEoPYTCKKjo1m8eDH33Xcft9xyCzabzeuuMTVi9cEHH/DZZ5/1iWAtWbKE7777ztNx6m09lPqbDWYUYyByc3M577zz+OCDD5g4cSKffvrpgDIEemDPnj0A/OQnP+n3ml4dv6EwGAw+fd5FRUW4XC6OO+64fg5UWVkZRUVFI7InOjqagw8+mOrqarZs2TLkurGxsYwfP57y8nJ+/PHHfq/7cl0Z6hj+nK8Gwp/fl3puHuw46vKR/I29MZlMzJo1i5tuusnjEHtTq+wLY9aJSktLY9q0aXz22Wf9TtpHHnkkERER3H777UD/+oucnByOPfZYSkpKeOCBB/q8tnHjRp577jkSExM57bTThrXjvPPOw2w289BDD/XRr3G5XNx4440DOgsXX3wxADfffHOfuouOjg5++9vfAnDJJZd4lsfGxjJlyhS++OILfvjhB89yp9PJddddN6AWjMqPP/7Io48+2mfZm2++ySeffMKECROGlTi46KKLSEhI4LbbbmPTpk39Xne5XD7PLvPWJpPJxNVXX01lZSW/+tWvBvw7Kysr+7wn/nDRRRfhcrm46aab+nxexcXF/O1vfxtwG7We5MA05+rVq326+1X38+STT/Zx6EtLS/njH//o9X78ZfXq1QO+r+qdbkREhFf7OeaYY5AkiYceeoi2trZ+TpQsy56mCW/rodSC7oEczEBSW1vLxo0b+y1vb2+ntbUVo9Gou8iZihrtUy/QKkVFRdx0000aWDQykpOTffq81b//888/7+MMtLW1cdlllw0avfcFtVj7l7/8JS0tLX1eczqdnugLKOd2WZa58cYb+9hTV1fn0S9Uz//+4s/5aiASExORJMmn93v+/PlMmjSJzz//3JNmU3nllVf49NNPOeiggzjqqKO83ueBbNq0acBIm6/nJG/R5y87RCxZsoQHH3zQ81wlIiKC+fPnD1gPpfL4448zf/58brzxRj788ENmz57t0YkyGAw8+eST/e5sBqKgoIA777yT66+/npkzZ7Jy5Uri4+P54IMPaGpqYvr06Xz33Xd9tjn33HN58803eemll5g2bRqnnnoqkiTxxhtvUFxczFlnneUp+FW56aabuPDCC5k/fz5nnnmmRyvJbrdz6KGHDtrdc/zxx3P99dfz/vvvc+ihh3o0mSIiInjiiScGLPDuTXJyMq+88gqnnXYaRxxxBEuWLGHatGkYDAb279/P+vXrqa+vH1DEcTB8sen3v/89W7du5fHHH+ftt99m8eLFZGdnU1NTw48//sgXX3zBX/7yF6ZOner18Q/k+uuv54033uDVV1/lsMMOY9myZTQ3N/Piiy+yYMGCAQXvLrroIu655x7uuOMOtm7dytSpU9m9ezfvv/8+p512Gq+++qpXx547dy6LFi1i3bp1zJ07l8WLF1NdXc3bb7/NsmXLgu5AXH/99ZSUlLBo0SKP6Ow333zDmjVryMvL4+yzz/ZqPykpKUyfPp2tW7ciSVKfwtN58+YRFRVFTU0Nqamp/Tp0BkPd7oEHHqC+vt5TB3L11VcHdPRHeXk5RxxxBFOmTOGwww4jNzeXlpYW3nnnHaqqqrjqqqv6pNf1xPLly5kwYQL3338/27ZtY+bMmezfv5933nmHk046KaBik6FgyZIlvPDCC6xYsYKZM2diMplYsGABCxYsGHD9jIwMzj77bF544QVmzJjBcccdR3NzMx999BERERHMmDFj2AjScFx66aV8/vnnPPPMM0yYMIEVK1aQmppKeXk5a9eu5eKLL/boqd1www28//77vPnmmxx66KGceOKJHp2ompoafvOb34zIwQD/zlcDERMTw+GHH86nn37KT3/6UyZOnIjRaOSUU04ZtHRDkiSefvppjj32WFauXMmKFSuYPHkyu3bt4o033iA2NpZnnnlm2OvKUDz33HM88sgjLFy4kAkTJpCYmMjevXt5++23sVqtXHPNNX7ve0ACKpigQwbSiVJ56623ZECWJKmflsvtt98uA3J6evqg+y4rK5N/8YtfyHl5ebLZbJaTk5PlFStWyJs2bfLZzueee06eOXOmbLVa5ZSUFPm8886Ty8vLB9UTcjqd8iOPPCLPmjVLjoyMlCMjI+XDDjtMfvjhh/tobPTm3//+tzx16lTZYrHI6enp8uWXXy7X1dUNqd1y6623yl9++aW8ZMkSOTY2Vo6JiZGPPfbYAf/G4TSLrrzySnnChAmy1WqVY2Nj5UmTJsk//elP++g0DYU/NsmyoqfzzDPPyIsXL5YTExNls9ksZ2VlyfPnz5f/8pe/yPv37+9jJz5qasmyLDc3N8vXXnutnJWVJVutVnnSpEnyPffcI+/du3fQ/W3fvl0+8cQT5ZiYGDk6OlpeuHChvG7dOp90omRZ0Sm6/PLL5dTUVNliscjTpk2T//73vw+rEzXQb2Koz3Agu1588UX57LPPlidMmCBHR0fLsbGx8rRp0+RbbrlFrqmpGeAdHJzrrrtOBuTp06f3e03VQzrrrLMG3Haw9+b999+XjzjiCDk6Otqjp6P+3f5obA1EY2OjfNttt8nHHHOMnJWVJVssFjkjI0NeuHCh/Nxzz/XTYGIInShv33eVwTSLfNGJ2r9/v3zuuefKWVlZckREhDx16lT5rrvuku12u8+2Dsdw55qB8EUfrbq6Wj7nnHPktLQ02WAw9NnvYJ9pe3u7fMstt8jjx4+XrVarnJOTI19xxRVenRt94b///a+8YMECOS4uTrZarXJBQYF87rnnyt98802f9To7O+W//OUv8rRp0+SIiAg5JiZGnj9/vvzcc8/122eozleDnTN+/PFH+eSTT5aTkpJkSZL6fL+Gep927twp//SnP5UzMjJkk8kkZ2RkyOedd568c+fOfuv6+jvdsGGD/Itf/EKePn26nJiYKEdERMjjx4+XL7zwQvn7778f8H0aCZIsB6nvTyAIMOvWreOYY47h1ltv9WqkiEAgEAgEwWTM1kQJBAKBQCAQjAThRAkEAoFAIBD4gXCiBAKBQCAQCPxA1EQJBAKBQCAQ+IGIRAkEAoFAIBD4gXCiBAKBQCAQCPxgTIttgqKYXVFRQWxs7KiYBSUQCAQCwVhAlmVaW1vJysoakUDnSBjzTlRFRYVnZp5AIBAIBILworS0lJycHE2OPeadKHU0S2lpqW5HMwgEAoFAIOhLS0sLubm5Xo1YCxZj3olSU3hxcXHCiRIIBAKBIMzQshRHl4Xlr7zyCldffTVHH300cXFxSJLET3/60wHX/fHHH7nrrrtYvHgxubm5WCwW0tPTOeWUU/pNJhcIBAKBQCAIFLqMRP35z39m69atxMTEkJOTw86dOwdd9/e//z0vvvgiU6ZM4cQTTyQpKYldu3bx1ltv8fbbb/PAAw8EfmqzQCAQCASCMY8unaj777+fnJwcJkyYwCeffMIxxxwz6LrLli3jxhtvZNasWX2Wf/LJJxx77LHceOONnHXWWWRmZgbbbIFAIBAIBGMIXabzjjnmGCZOnOhVnvOiiy7q50ABLFy4kEWLFmG32/niiy+CYaZAIBAIBIIxjC4jUYHCYrEAYDabNbZEIBAIBANht9txOp1amyHQEUajMWyu26PWidq3bx8ff/wxUVFRLFiwQGtzBAKBQNCLlpYW6urqsNlsWpsi0CFWq5WUlBTdd82PSifKZrNx3nnnYbPZuOuuu0hMTBx2m5aWlj7/t1qtWK3WYJkoEAgEY5aWlhbKy8uJiYkhJSUFs9ksJkYIAEWF3G6309zcTHl5OYCuHalR50Q5HA7OO+88vvjiC8444wxuvPFGr7Y7ULX81ltvZdWqVUGwUCAQCMY2dXV1nu5r4TwJDiQyMpLY2FjKysqoq6sTTlSocDgcnHvuubz66quceeaZPPfcc17/QA9ULBdRKIFAIAg8drsdm81GSkqKcKAEgyJJEvHx8ZSXl2O323VbIzVqnCi73c7KlSt5/fXXOffcc3nmmWcwGo1eby8UywUCgSD4qEXker0oCvSD+h1xOp26/b7oUuLAV7q7u/nJT37C66+/zvnnn89//vMfnxwogUAgEIQWEYUSDEc4fEfC3omy2WycdtppvP3221xyySU8+eSTGAxh/2cJBAKBQCDQObpM573xxhu88cYbAFRVVQGwfv16LrzwQgBSUlK45557APjFL37Be++9R0pKCtnZ2fzxj3/st79FixaxaNGiUJguEAgEgjHOxo0bufPOO/nmm2+orq4mISGBwsJCjjzySO69996AH6+iooJ//OMfnHrqqcyYMSPg+x8Jn3/+OU899RSbN29m27ZtdHd3U1xcTEFBgdamBQRdOlFbtmzh6aef7rOsqKiIoqIiAPLz8z1OVHFxMaB0ewzkQKkIJ0oQUJrLcH3zDIbZF0JcltbWCAQCnfDuu+9yyimnsGjRIu6++24yMzOprKzk66+/5oUXXgiaE3XbbbdRUFCgOydq9erVfPzxx8ycOZO4uDjWrVuntUkBRZJlWdbaCC1paWkhPj6e5uZmUVgu8I6WCtofP5bojjKK8ldSeNE/tLZIIAgburq6KC4uZty4cURERGhtTsBZuHAh5eXl7Ny5E5Opb5zC5XIFpdzk66+/Zs6cOTz55JOejI1e6P0333PPPdx4441eR6KG+67o4fotiocEAl9or4dnTiW6owwAU+kXjPH7EIFA0Iv6+npSUlL6OVBAHwfqkksuISkpiY6Ojn7rLV68mGnTpnn+//LLL3P44YcTHx9PVFQUhYWFXHzxxQCsW7eOOXPmAMosWUmSkCSpj87h119/zSmnnEJSUhIRERHMnDmTl156qc8xn3rqKSRJYs2aNVx22WUkJycTFxfH+eefT3t7O1VVVZx11lkkJCSQmZnJDTfcgN1uH/b9GO01yqP7rxMIAs1n90LdLqrkRFyyRJ6rjB17irS2SiAIe2RZpqPboZt//t4czZs3j40bN/KrX/2KjRs3DupoXHPNNTQ2NvLcc8/1Wf7DDz+wdu1arrzySkCpB165ciWFhYW88MILvPvuu/zhD3/A4XAAcNhhh/Hkk08C8Lvf/Y7169ezfv16Lr30UgDWrl3L/PnzaWpq4vHHH+fNN99kxowZrFy5kqeeeqqfXZdeeinx8fG88MIL/O53v+O5557jsssu46STTuLQQw/llVde4YILLuDee+/loYce8us9Gk3osiZKINAtZV8BcIf9HH5heocp0n6+//J9pk68SmPDBILwptPuZOofPtDaDA8//HEZURbfL5F33nknO3fu5KGHHuKhhx7CbDYzZ84cli9fzlVXXUVMTAwA06dPZ+HChTzyyCMehwfg4Ycf9kSAAL788ktkWebxxx8nPj7es56atouLi+Pggw8GYPz48RxxxBF97LniiiuYNm0aa9as8UTHli1bRl1dHbfccgvnn39+n2jRySef7Kk5PvbYY1m/fj3PP/889913H9deey0AS5cu5YMPPuDZZ5/luuuu8/k9Gk2ISJRA4C0uF3L1dgC2ywU0pSohdGfJF3Q7XFpaJhAIdEJycjKfffYZX331FXfeeScrVqxg9+7d3HzzzRxyyCHU1dV51r3mmmvYsmULX3zxBaDU+PznP//hggsu8DhbaqrurLPO4qWXXvLMk/OGPXv2sHPnTs477zxAmeqh/jvxxBOprKxk165dfbY5+eST+/x/ypQpAJx00kn9lu/bt89rW0YrIhIlEHhLYzGSvR2bbKYlMp9ZC1PgtVeZ4dzOul01HDctQ2sLBYKwJdJs5Ic/LtPaDA+R5pEJNs+ePZvZs2cDykSNm266ifvvv5+7776bu+++G4AVK1ZQUFDAI488wvz583nqqadob2/3pPIAFixYwBtvvMHf/vY3zj//fGw2G9OmTeP//u//OOecc4a0obq6GoAbbriBG264YcB1ejt1AElJSX3+b7FYBl3e1dU13Nsw6hFOlEDgLdXbANgl53DijFws41IAmCzt5/nv9wgnSiAYAZIk+ZU+CwfMZjO33nor999/P9u2bfMsNxgMXHnlldxyyy3ce++9PProoyxZsoRJkyb12X7FihWsWLECm83Ghg0buOOOOzj33HMpKChg3rx5gx43JUU5R918882cfvrpA65z4LEEviHSeQKBt1QpJ78drnwOy0+E2HTaYgowSDIRlZs0Nk4gEOiBysrKAZfv2LEDgKysvrpyl156KRaLhfPOO49du3Zx1VWD11darVYWLlzIXXfdBcDmzZs9ywE6Ozv7rD9p0iQmTpzI1q1bPZGxA//Fxsb694cKABGJEgi8xx2J2iHncWZqNAD2nHmws4Ts5s1aWiYQCHTCsmXLyMnJYfny5UyePBmXy8WWLVu49957iYmJ4ZprrumzfkJCAueffz6PPfYY+fn5LF++vM/rf/jDHygrK2PJkiXk5OTQ1NTEgw8+iNlsZuHChYBSUB4ZGcmzzz7LlClTiImJISsri6ysLP7+979zwgknsGzZMi688EKys7NpaGhgx44dfPvtt7z88stBfT9qa2v55JNPAPj+++8BeP/990lNTSU1NdXzN4QrwokSCLzEWfkdRpRIVGGKUvQZNW4O7HyefOc+Gtu7SYy2aGukQCDQlN/97ne8+eab3H///VRWVmKz2cjMzGTp0qXcfPPNnkLt3qxcuZLHHnuMX/7yl/10lQ4//HC+/vprbrrpJmpra0lISGD27NmsWbPGoyUVFRXFv//9b2677TaOO+447HY7t956K6tWreKYY45h06ZN/OUvf+HXv/41jY2NJCcnM3XqVM4666ygvx/bt2/nzDPP7LPsiiuuABRh0nBXMBeK5TpQPBWEAZ2NcFcBAMdb/8P/bj5FWV60Dp5ZwV5XJs2XruewvETNTBQIwoHRrljuD9dffz2PPfYYpaWlJCcna22ObggHxXIRiRIIvMEtbVAmp5Ce3quAPHEcADlSLVtqWoQTJRAIvGbDhg3s3r2bRx99lJ///OfCgQpDhBMlEHiDp6g8j/GpMT3L43NwSCasOKirKAHyNTFPIBCEH/PmzSMqKoqTTz6ZP//5z1qbI/AD4UQJBN7gLir/Qc5nfFp0z3KDkfaILOI799NZvQcI7yJJgUAQOsZ4Nc2oQEgcCATe0FAMQJErs28kCnAkuKNPjcWhtkogEAgEGiKcKIHAC1xN+wEok1P7OVHmlPEARLXtx+USd5YCgUAwVhBOlEAwHE4HUosyr6rFmklKTF8Zg+iMCQBkyVVUt4oxCAKBQDBWEE6UQDAcrZVIspNu2Uhcag6SJPV52ZhcCEC+VE1xbbsWFgoEAoFAA4QTJRAMhzuVVyGnUJg2gBaJW+YgX6qhqLYtlJYJBAKBQEOEEyUQDIfbiSqXUyg8oB4KgMQCAOKkDiqrB56bJRAIBILRh3CiBILhaC4FlKLy/OSo/q9bouiwpgJgq9kTSssEAoFAoCHCiRIIhqNpH6BEorITIgdcpTtOkTkwNe8LmVkCgUAg0BbhRAkEw+BqVCNRKWQnDuxESUlKXVR0e2nI7BIIBPpk48aNnHbaaeTl5WG1WklPT2fevHlcf/31QTleRUUFq1atYsuWLUHZv784nU7uu+8+jj/+eHJycoiKimLKlCn89re/pampSWvzAoJwogSCYXA2KtGlWmMaydGWAdeJSFO0otIdlbTbHCGzTSAQ6It3332XI488kpaWFu6++24+/PBDHnzwQebPn8+LL74YlGNWVFRw22236c6J6uzsZNWqVeTn5/PAAw/w3nvvcdlll/GPf/yD+fPn09nZqbWJI0aMfREIhsLlwtiqaEQ54nL7yRuoWFMUmYMcqZbK5k4mpMWGzESBQKAf7r77bsaNG8cHH3yAydRziT377LO5++67NbQs9ERGRlJcXNxnsPKiRYvIy8vjzDPP5NVXX+WnP/2phhaOHBGJEgiGoq0Kg8uOQzZgTcodfL34bAAypXrKm4TgpkAwHDa7k4Z2Gy51fpwsQ3e7fv75Odeuvr6elJSUPg6UisHQc8m95JJLSEpKoqOjo996ixcvZtq0aZ7/v/zyyxx++OHEx8cTFRVFYWEhF198MQDr1q1jzpw5AFx00UVIkoQkSaxatcqz/ddff80pp5xCUlISERERzJw5k5deeqnPMZ966ikkSWLNmjVcdtllJCcnExcXx/nnn097eztVVVWcddZZJCQkkJmZyQ033IDdbh/yvTAajX0cKJW5c+cCUFoa/uUPIhIlEAxFk/IjryKJzMQB5A1U4lQnqoENjf1PigKBoC+VLV10y0baupzkJkUi2Tvg9iytzerhlgqwRA+/3gHMmzePf/3rX/zqV7/ivPPO47DDDsNsNvdb75prruHf//43zz33HJdeeqln+Q8//MDatWt55JFHAFi/fj0rV65k5cqVrFq1ioiICPbt28eaNWsAOOyww3jyySe56KKL+N3vfsdJJ50EQE5ODgBr167l+OOP5/DDD+fxxx8nPj6eF154gZUrV9LR0cGFF17Yx65LL72U008/nRdeeIHNmzdzyy234HA42LVrF6effjqXX345H3/8MXfddRdZWVlcd911Pr9Hqu29HcVwRThRwUSWoewr2PE2pE+DQ84Eg1FrqwS+0GtmXs4gReUAxCkn/wjJTmNdJZAfAuMEgvDEJcs47U4wGWnq7MbQBNlRMgMny8OLO++8k507d/LQQw/x0EMPYTabmTNnDsuXL+eqq64iJka5GZs+fToLFy7kkUce6eNEPfzww54IEMCXX36JLMseB0hFdX7i4uI4+OCDARg/fjxHHHFEH3uuuOIKpk2bxpo1azzRsWXLllFXV8ctt9zC+eef3ydCdvLJJ3PPPfcAcOyxx7J+/Xqef/557rvvPq699loAli5dygcffMCzzz7rsxNVXl7Ob3/7W2bPns3JJ5/s07Z6RDhRwaJ2N67Xf46h4lvPIvnz+5FOeRhy52homMAnmnuENod0okxWOszJRNnr6aorBY4YfF2BYIxjd7qQAKMkIcsyDe3dxFmjiLulQmvTejAPoAnnBcnJyXz22Wd8/fXXrF69mq+//pp169Zx88038/e//52vvvqKlJQUQIlGnX766XzxxRfMnz+flpYW/vOf/3DRRRd5nC01VXfWWWdxySWXMH/+fLKzs72yZc+ePezcudPjFDkcPU0vJ554Iu+88w67du1iypQpnuUHOjZTpkzhjTfe8ES4ei//8MMPfXpvGhoaOPHEE5FlmRdffLGP8xauhP9foEcqt9L9z+MwVHyLTTbzrnMuTXI0Uu1O7M+dAw6b1hYKvKVXJGowjSgVW3QmAK7msqCbJRCEM90OFwCxESYSo5SO1w67S0mf6eXfIE0k3jJ79mxuuukmXn75ZSoqKrj22mspKSnpU1y+YsUKCgoKPKm7p556ivb2dq688krPOgsWLOCNN97A4XBw/vnnk5OTw8EHH8zzzz8/rA3V1dUA3HDDDZjN5j7/rrjiCgDq6ur6bJOUlNTn/xaLZdDlXV3e1382NjZy7LHHUl5ezkcffURhYaHX2+oZ4UQFmoot2J44EUt3I9+5xrEy6h98NecBVhgfoVJOwtxZi2NrcNpcBYFHbhpeI8qzrrsuytimo7tpgUCHdDuVou1Ii5EIi1Li0GV3amlSUDGbzdx6660AbNu2zbPcYDBw5ZVX8sorr1BZWcmjjz7KkiVLmDRpUp/tV6xYwerVq2lubmbdunXk5ORw7rnnsn79+iGPq0a8br75Zr766qsB/82YMSOwf+wANDY2snTpUoqLi/noo4+YPn160I8ZKoQTFUhaq2l7+kysjjY2uSbx5qGP8coNp7LqlGm8dcPJvGhUwqSd6+4Hl0tjYwXe4GhQNKIqSSUtNmLIdc2JSiFndGcVLpd/nT0CwVjA7o5ERZlNRJpHlxNVWTnw/MwdO3YAkJXVt3j+0ksvxWKxcN5557Fr1y6uuuqqQfdttVpZuHAhd911FwCbN2/2LAf66S5NmjSJiRMnsnXrVmbPnj3gv9jY4MqxqA5UUVERH374ITNnzgzq8UKNqIkKFA4bDU+eRZKthj2uLDbP/zu/O26GR1coPspMxOEX0/Lly8S1FiH/+AHSpBM0NlowJLKMsUWJRDliczAahg7vR6UqxeRp1FHf3k1qrDXoJgoE4UZ9mw2HqycSJaM873a6cLhcmMK8TmbZsmXk5OSwfPlyJk+ejMvlYsuWLdx7773ExMRwzTXX9Fk/ISGB888/n8cee4z8/HyWL1/e5/U//OEPlJWVsWTJEnJycmhqauLBBx/EbDazcOFCQCkoj4yM5Nlnn2XKlCnExMSQlZVFVlYWf//73znhhBNYtmwZF154IdnZ2TQ0NLBjxw6+/fZbXn755aC9F52dnSxbtozNmzfzwAMP4HA42LBhg+f11NRUxo8fH7Tjh4Lw/rbqiJpXf0NSwxaa5SjeP+R+fr5sZj9hxrOOmsZL8lIAWtY+qIWZAl9or8XgtOGSJUyJQ2hEuTF6tKIaqGgKfyXescAr35Txhze3YXeKyHCo2FHZAoDFZMRokDAZDFiMyqWoyx7+n8Pvfvc7EhMTuf/++znllFM44YQT+Nvf/sbSpUvZtGkThxxySL9tVq5cCcAvf/nLfsXWhx9+OFVVVdx0000cd9xxXH755URGRrJmzRqPREBUVBT//ve/qa+v57jjjmPOnDn84x//AOCYY45h06ZNJCQk8Otf/5qlS5fyy1/+ko8//pilS5cG9b2orq7mq6++QpZlrrnmGubNm9fn35/+9KegHj8USLLsp6LYKKGlpYX4+Hiam5uJi4vzax+t294n9pWzAXgw43auuvyKQaMWd7/4Ib/ZcSZODBhvLgXrENpDAm0p+xr+tYRKOYl7D36De848dOj192+Afy+j1JXKtjM/44RDMkNjp8Avvt3fyBmPfYlLhn/8bBbHTcvQ2qQxwcMf/cCk6C4mFo6jICMRgJK6dlq67GQlRJISM/YiuNdffz2PPfYYpaWlA4pTjlW6urooLi5m3LhxRET0L6cIxPV7pIhI1Ahxtdbieu2XALxmPolLLvr5kGmfUxYeQbmcjBEX9tJvQmWmwB88nXkpw3bmAR7BzXSpgfLG9mBaJhghXXYnN7y8FbV0bWNxg7YGjSF2uiNRVkuPZl7EKKuL8pYNGzbwzDPP8Oijj3L55ZcLByoMEU7UCCn+zxXEuxr5Uc5h6vn3E2MdusxsUnos2ySl86L2h09DYaLAX5p6NKKG68wDIDYTFwYskpPWOtGhp2fu/2g3RbXtqPc7G4rqtTVoDFFcryj6R5h6Lj8R5tGTzvOFefPm8ctf/pKTTz6ZP//5z1qbI/AD4USNgMqv32Z8zYc4ZYkfj7yHybnpw24jSRL1SUp3gmPfhmHWFmhKsypvMIxauYrRRKdVaSm2NYT/TKjRitMl858NStflH1coSs8/VLbQ3DH0HDDByOmyO2nq6AbAbOztRPVEosZShYksy7S3t/Pyyy97xDUF4YVwovzEZWvH8P4NAHwYexonHHe819uaChQ16+TGrULqQMfIvUe+JHinXmyPVtqXZSG4qVuK69rp6HYSaTZyztw8ClOjkWXYVCJSesGm3N1wYZDoU/ZgNRkwSBIuWfYIcQoE4YBwovxk2wu3ku6solJO5tDz/9qvE28o8qbMpUO2Eu1qRa7bFUQrBSPB2aA4URVyChnxQ2tEeXB36Fk7BtaKEWjP9opmACZnxmI0SBw+TqlDESm94FPWqDhRRoPU55wpSZInpdc5xuqiBOGNcKL8oLFqHxOLnwZg18xbyEpL8Wn76fkpfCcr2hhNu78IuH2CACDLSO65eZ3ROVhM3v1ULEmKFEKsrUa0zeuUHyqUwuZpWUo3zxGFyjgL4UQFn/LGTlyy4kQdmLazmpSUnk1EogRuwiG1K5woP9j70v8RSTfbjVM5evnFPm8fZTGxL1qpxWgVTpQ+6WzE6FAKYI1eaESpRCQr62ZK9dS2ihmJeuSHStWJigfgiMJkz3JRFxVcyho7aOpyIcvQ3t63g1W9UbELJ0rgpr29HUmSMJvNWpsyKEKx3EeKd3zLzPp3QALX0tswGv3zQ+2Zc6DoJaKqvw6whYKA0KQUHtfICaQnxXu9mSFeGf2SKdVT2dxFljfSCIKQIcsy2w+IRKXHRTAuJZriuna+LW3kmElpWpo4qilv6qTTIdPkMFNbW4vNZiMuLg6TyQROO7Kjm44uJ11d4v5+rCLLMg6Hg5aWFlpaWkhISMBoNA6/oUYIJ8pH6t/+A+MkmS3R85kx7zi/95M8aR4UQYptP3R3gMW7wmVBiHAPHi73ViNKpZcTtbnZ+wnngtBQ1dJFQ3s3RoPEQek9M8MmpMVQXNdOaUOHhtaNfjw1UdGJZGZGUVNTQ0uL4tR2O1zUtNowGSSczV7WIApGLUajkczMTOLjvb+J1QJdOlGvvPIKn3zyCVu2bGHr1q20trZy3nnn8d///nfQbb788kv+/Oc/s2HDBrq6upgwYQIXX3wxV199dcC82N3bN3NY++cgQcopI5OrnzZhPI1yDIlSG47aHzFlD6OGLQgtvYU2vZE3UFEFN2mkqrEVEKrlemJ7uXLBnpAa42mrBzwSFupFXhAcyt3vb3ZSFAkJCcTHx+N0OnE4HNS32bjirfVIErx/zYI+EgiCsYXJZMJoNPrUsKUVunSi/vznP7N161ZiYmLIyclh586dQ67/5ptv8pOf/ISIiAhWrlxJUlISb7/9Ntdeey1ffPFFwAYsVv/vrxwkyWyLOZKDJ80a0b5yEiPZQhaJ7KZh/3bShBOlL5rVSFQqk32JRMWk4ZSMGHHSXl8OHBQc+wR+0VMP1XdERG6iEgkuaxSRqGDR7XBR3apEZ9XoriRJmEwmTCYTWVYrdZ0yNoeLhi6Z/GQRjRLoH126+vfffz+7d++mpaWFxx57bMh1W1pauPTSSzEajaxbt44nnniCv/71r2zZsoV58+bxyiuv8MILL4zYpj1Fe5nb8gEA8UtvGPH+DAaJOmseAG3lO0a8P0Fgkd01UWVyCjmJPqRaDUY6rEpNjb1RaEXpDVXeYOoBTpSIRAWfyuZOZFnRhEqJsfR7XZIkcpOU31ppg/gcBOGBLp2oY445hokTJ3oVynv55Zepq6vjnHPOYfbs2Z7lERERHhn9Rx99dMQ2Fb97L1bJQVHEVHIPXTzi/QG0xxUC4KrdHZD9CQKHq8HHuXm9UAU3aSkPtFmCEdJTVN63zkJ1lEVNVPDwpPISIwc9t+e5naj94nMQhAm6TOf5wtq1awE4/vj+iuELFiwgKiqK9evXY7PZsFr9mw5e29jCrLo3QQLjUb+GAOVpDSkToQ4imosCsj9BAHGn89oisoi0+FhTF58N9d9gaReCm3qio9vhiTRNyYzt81pOkuIoN3bYabM5hp2BKfAd9b0fKrKb644Iloq0atjwVUkDO6tacThdzM5P4pAcfReCB5qwP1Ps2qUofk+cOLHfayaTiXHjxrF9+3aKioqYMmXKoPtRO0RUrFarx+n69qNnWSa1UW9IJn/eTwJme0z2VNjp7tCT5YA5Z4IR0tmEsVv5PkiJeT5vbnbrSsXYqnC5ZAwG8bnqgZI65cKcGGUmIapvOikuwkx8pJnmTjvljZ1MyogdaBeCEVDmHvkyVGQ3V0SiwgaXS+buD3bx+Cd7PcsMEjz201ksm5ahoWWhRZfpPF9oblZqHAZrg1SXNzU1Dbmf3Nxc4uPjPf/uuOMOQPmiJOxUaqqqC38CxsD5nWn5k7HLRiLkLmipCNh+BSPEHYWql2NJSUz0efOoFMXxyqCeunYhuKkX9tUr4o75ydEDvq7WRYmUXnBQi/aHGuatOlFl4jPQNXani18++43HgVpwUCqz8xNxyXD185tZv3fsqP+HfSRqOFTZ+OHqq0pLS4mL6yk2VaNQG7ds4XDnVpCg8NhfBNS2wvQE9stpjJcqaSvfQYx77ppAY3oPHvZF3sCNMaFHK6qquYu0WNFlpAeK3U7UuJTBnajtFS2iQy9IlHvSeUM4UYkiEhUOPLxmDx9sr8ZiNHDXGYdw2swcHE4XVzz7LR/+UM3l//maz29aTHykfpXGA0XYR6LUSJMakToQNU03nGBXXFxcn3+qE1X76b8xSDLFsbOISB8fQMsh2mqizKikfhr3bwvovgUjwF+hTRW3M5wlNVApBDd1Q0mdGokauCanR+ZAdIYFgzJvnKhetWmtXWIEjx7ZWtrEw2v3AHDPWYdy2kzlptFkNPC3c2YyPjWa1i4Hb28dG9mVsHeiJk2aBMDu3f073BwOB8XFxZhMJgoLC33ed1O7jZmN7wMQOffCEdk5GM3R+QB0Ve0Kyv4FftArEpXti7yBSpxyUkmhmZrG1kBaJhgBJfVKdGOoSBQIJyoYuFwy1S3KDUVm/OBOVGyEmcQoJXohZA70R5fdybUvbcHpkll+aBanHJrV5/UIs5Fz5irlDC9/MzYkXsLeiVq8WJEb+N///tfvtU8//ZSOjg6OPPJIvzrzNq1fQ65USxdWMg4/Y8S2DoQjUSmINzfuCcr+BX7QrDhRfkeiolNwSBYMkkxbbWmAjRP4ixqJKhi0JsotcyDSeQGnrt2GwyVjkCAtduhzsSpzID4H/fHUlyUU1baTFmvlTyumDbjOqTOzMRkktpY28WP16L+JDHsn6owzziAlJYUXXniBr7/uGebb1dXF7373OwB++ctf+rVv29bXAShLPTpos+2sGYqidVx7SVD2L/AdV6OfI19UJIn2CFVwUzhReqCj20FNq1LkP5gT5SlqFpGogFPlTmunxFgxDTPOJSdJaHbpkZYuO4+tUwrJbzp+cr8OV5WUGCvHTFbOf2MhGqXLwvI33niDN954A4CqqioA1q9fz4UXXghASkoK99xzD6DUMv3zn//kjDPOYNGiRZx99tkkJSXx1ltvsWvXLs444wxWrlzpsw31rV0c0vIJSBB3WHCiUAAJedPgK0hy1IhBxDpBdqfzmiwZfhdGdkdnQWcZkhDc1AW95Q3iowb+TFWHubnTTkuXnbiI0V8UGypUJyozfvgmCzWtWt4knFk98c9Pi2jutDMxLYZTZw7dBHXmrBw++qGa174t58Zlk0b1HERdOlFbtmzh6aef7rOsqKiIoiJFlDI/P9/jRAGceuqpfPLJJ/zlL3/h1Vdf9Qwgvu+++/jVr37l1xDDDRs+5SSpChsW0g5bPrI/aAjys7NpkSOJkzpxNOzDlDG4lpUgBNjaMHY1AiDH5/q9GykuG+oQgps6YTh5A4AYq4nEKDONHYpWVFymcKIChVoPlR7nhRPlTqFXCCdKN9S12Xji82IArj9uEsZhtO+OmZxGQpSZujYb35U1Myvfd6mYcEGX7uGqVauQZXnQfyUlJf22mT9/Pu+99x6NjY10dnby/fffc+2112I0+qg27abLncqrSJkP1piR/DlDkpUQRTlK6LOpUtRFaY5bI6pJjiYpKcXv3ViSlOLyaFuVR2ZDoB3DyRuo5IpUUlCo9CESleVxokRnq1548otiOrqdTM+JZ9m09GHXNxsNHJanOE7flTUF2Tpt0aUTpTXNHXYllQfEHhY4hfKBMBgk6k3Kl7K1cu8wawuCTtMIi8rdRKYqXZfpcj1NHaJVW2uGkzdQyXJ3jglpisBSpUaifHKiRCRKD7TbHPx3g3JevGLRBK8zO9Pd41++KxtYfmi0IJyoAfjmu60cZCjHiYGUmcFL5am0Rir55e76kqAfSzAMfYQ2/a9PMycoqcBMqV5ckHXAcPIGKhnui7x60dcVDcXw/m+h+getLfEZX2qiVCeqvr2bLrszqHYJhuelr0tp7rQzLiWaY6cOH4VSOTQ3AVB0pUYzwokagIbvFLmEiuhpEJkQ9OM54pQLrqFpX9CPJRiG3pEofzrzVNyCm5lSPVUt4o5aa3oiUUM7UWrNTpXeHN/9G+FfS2DjY/DeDVpb4zNVPtRExUWYPAOgRTRKWxxOl6cW6pKjxg1bC9WbQ3MSACiqa6e5c/RG44UTdQCyLJNY+TkArvGLQ3JMQ2IBABHtopNLc3oLbY4gnUec4kQlS63UNDQFwDCBv/SVNxg6uqhGSnTlRO3fCE8vhw73PLJ9X0DNDm1t8gFZlntFoob/TUmSRFaC8jmIuiht+d/2KsoaO0mOtnDGrByftk2KtngU6LeVj96UnnCiDmBnRROzXVsByDjsxJAcMyptHAAJtrEhk69nXIGKREUm0m1QLgTtQnBTU1Tdp7gI06DaNipqpKRaT+m8zc+A0waFx8DE45RlXz2hrU0+0Gpz0NGtpOUyvIhEQU9Kr7xJFPhryVNflABw3hH5RJh9b9Ka7o5GbRnFKT3hRB3Ajq/XES910G6IwZo7OyTHTMiaAECs3ApdLSE5pmBgZLfQZo0xjeTooS+4QyJJtFuV+oFuIbipKepAYW9q3HrXROmmq7Lqe+Vx9kVwhFs4eOsLYGvTziYfUKNQ8ZFmIi3eXYh7nCgdObNjjG3lzXy9rxGTQeKnh+f5tY8ZbidqNHfoCSfqABx7VgNQmzoPjKGR0crOSKNRVmQU7A0lITmmYADsnRg76wBFI8offbE+u4vOBEBqFmlaLfFm8K2KGinp6HbS0uUIql1e4bT3pO4ypsO4RZA0Hrpb4fuXtbTMa1QnytsoFOBJpYuaKO146ssSAE48JJM0Hz673qgdeltLRTpvTNDR7aCweRMAMVOPC9lxU2OsPVpR5ULmQDOalIhRqxxJXGLayPfnrosyt4s0rZb0OFHDR6IiLUaPSr0uUnq1O8HZDdZ4SCwAg0GJSAFse1VT07zFF3kDlZ6aKOFEaUF9m423tirnrQvnF/i9n4Oz4zFIynegRg+/pyAgnKhefLe3nBnSjwAkTw+dEyVJEvVmt1ZUtRDc1Izeg4dHIG+gYk5Sui5jbNUj3pfAf1ThTLXIdTgy9NShV/md8phxCKiR0QnHKo9lX4OjWxu7fMBTVO5DNEPV6xJOlDa88FUp3Q4X03PimemWKvCHaKuJwlQly7KzanQOIxZOVC/Kt3+GSXLRYEpHcnfMhYr2SKXzwS60orSjqWfwsDepn+GIcgtuprrqaO0avS2+eseXSBT0qovSgxNV5XaiMqf3LEudBJFJ4OiEyi2amOUL/kWi3E5Ucxcul05q08YIDqeL/25Q5HYuPLJgxGUNakfsvlE6BUA4Ub2Q928AoDn1sJAfW9WKMrqjIQINcKfzRixv4MaapBRjZkoN+rggj1F6Cst9jETpIf2gFpVnHNKzTJIg/0jl+b4vQ2+Tj/gitKmSER+BJEG3w0V9u/6jbaOJD3+oprK5i5QYCydNzxzx/kb7KCXhRLmxO11kNCvSBlHj54f8+KbkAgAihVaUdgRK3kCll+CmUC3Xhjabg0b32B1vP9N0vaiWu1y9nKjpfV/Lm6c87l8fWpv8wJ/CcrPRQHqsqIvSAlXW4Jy5eVhN/s2e7U2+24lSh4CPNoQT5WZHeROHotRDpU5dEPLjR6UVApDQXQl6aa0eY8i9hDZzA1ATRVwWAAlSO7X1DSPfn8Bnyt2pvPhIM3ERZq+20Y3gZlMJ2FrAaFVSeL1RI1H71yvOlo5RndEMHyJRoHFxucsJJV9Ac1noj60hP1S0sKmkAZNB4rzD8wOyT3VKwL56EYka1RTv+IZYqZNOKQpDxsEhP35itqIVFS13QGdjyI8vAKeqEWVIIy3WOvIdRsTTZVCcsfZakabVAl+LykFHheVqUXnaFDAe4ABmTAdLDHQ1Q41+Z+l12Z00uNNxvkSioLdWlAZO1Jo/wVMnwv3T4L5psPvD0NugAf/+QhnxcvzBGT47vYPRO52nG+21ACKcKDddxUo9VF3CdDCMPITpKzmpSdTLsYAQZ9QEhw1TexUArvhcDD7MiBqK9gil69LeKJwoLfDUQyV4H1nUjWq5msrLnN7/NaMJcuYoz3VcF1XToozbsZoMJER5FwlU6dGKCvHn0FQK6x9VnksGaCmDVy+FUa73Vt3SxZtblL/xkqPGBWy/uUmRSBK0dztHZX2bcKLcJDVuAcBYME+b40dbqCIFgMaKIk1sGNO4w/adsoWYRO8nlQ9Hd7SS0qNldJ+A9YovQpsqajqvvr0bm8MZFLu8ot4td5I6eeDX8921m/v160T1TuX52uWVpZXg5ro7lTE7+UfBzWWQPRtszfDW1aO61OLpL0uwO2XmFCQyMy8xYPu1moweeYvRmNITTpSbabJaD7VQk+NLkkSjSRF4bK/dp4kNY5re9VDuHH5AcAtuWtorA7dPgdf440QlRJmxmJRToxpJ0YRmd0Q6YZCRG7lzlcfyb0Jjjx9UNivvv6+pPOgtcxBCJ6pmB2x9Tnm+dBVYouHUx5S6tL2rYfN/QmdLCGm3OTyyBpcdXRjw/aspvf0No6+4XDhRbrKkBpwYMOfN0cyGjogMALobRDov5LgvWOVySmCKyt2ogptRXUJwUwvKmryfm6ciSZI+ZA7ckhvE5w78euah7vX2Q4c+Gxeq/SwqB40Kyzf9E2QXTD4Zct3XgtSDYPHvlOef3A1OHYwDCjAvflVKS5eDcSnRLJ0SuEi8Sr5bK2p//ejrtBROVC/qIvLBGqPZ8e0xbk2OUZ571yW9hDZ9KUIejugUJYqQ4qylo3v0nXz1TmmDctJW74S9Rb3oayZNYe+C9hrl+WCRqMgESHTXruhUdLOqWYnk+ROJUmui6tq66bKHKK2qRvUOObPv8rmXQ1SycrO1853Q2BIiuuxOHv9EGTd26dHjAlYP2htPh56IRI1uOpND35XXh3hFtdzSIVI/IadJjUSl+hS1GI6IZFVws177bq8xRkuXneZO3zSiVNSLfrVWn5naWm+Ohsgh6lOyZiiPFVuCbZFfVLW403l+RKLiI81EWZQmn5A4sw4bVG9Xnqvvq4o5AmZfojzf8FjwbQkhz27cT02rjeyESM6cNUjUc4Tkqek8URM1urHmzdT2+J5Za1Wa2jEWcTUq9QBlcgq5gRDadCO5HeNMqUF78cYxhqoRlRhlJsZq8mnbDK0FN5vcdZEJeT0z8wYic4byWLk16Cb5gz9CmyqSJIW2uLzmB3DZISIBEgbQSJpzCRjMULpB13VovtDZ7eSxdUoU6qrFEzy1gIFGdaJG4+gX4UT1InXiXE2PH5OuhOYTHXW6F9AbbagaUbWmdJKiLYHbsVu1PFbqpK6uNnD7FQyLrzPzepOutVaUp6h8mMiAWhel23Se/zVREGKtKDWalzVzYMc1NgMO/onyfOPfg29PCHhmfQl1bTZykyI5Y1ZO0I6j1kTVttro7Naw4zUICCeqF6bsGZoePzkjD6csYcbRUw8hCD6Obkzu7jkpPm/EAzf7YImmw6jof4muy9Dij9CmSqbmkahhispVVCeqsUR3Ir1Ol0xNq7smyk8nKjuUxeUVm5XHA1N5vZl7mfK4422wtQXdpGBS09LFw2sUGY2rF0/EbAyeO5AQZSEuQokG7x9l0SjhRLmps2SDNVZTGzKTYqlBqX8QF9wQ0lyKJLvolC1EJWUFfPdtVqXbpbthbI2Q0JoxEYmKSupJPekspVffZsPhkjFIkBrj3wSArPgQpvPUaJ6aIh2I7FlKMb+9A3a9H3ybgsgd7++k1ebg0Jx4fnJY8KJQKnnJo3MQsXCi3HQkTdXaBGKsJmqkZACaq4o1tmYM4a4/KQ20RpQbe7ToutQCj1q5HzVuauSkuqULl0sDgUVvI1Gg2+JyNYqXGmvF5GeUIytUquUOG1S7x+dkDVEbK0k9nXvbXgmuTUFkY1E9r28uR5LgjysOxhiEjrwDyYhTPsvRVhsqnCg31pwBRitoQLNZEdzsEJGo0NGoOlFpfl1wh0NWBTc7KgK+b8Hg+CO0qZIWa0WSwOGStRlV4ZbcGFTeoDc6rYuq9NRD+f+bCllhefV2pag8MnH49/yQM5THPR/rVp9rKFq77Nz0qjKX8ew5eRyamxCS42bEK9FIzccpBRjhRLlJLpyltQlAj+Cmo0mkfkJGYwngjkT5qCfkDeZEJZoQLQQ3Q0pPJMr3z9RsNJASo9FJ32mHVrfD7ZUTNUN5VAcW6wSP0Gac/8O8s3sVlgd1eG3vVN5wNZGpkyDjEHA54Ic3g2dTEJBlmZtf+56S+g6yEyK56fhJITt2eqxOBnsHGOFEuTFlaqwR5cYRq0QtDC3CiQoZTcGNREWnKjUrSY4abWexjSGaO+20dCnipv5+pmpbfsgFN1sqFNVsowWi04ZfP9197moogm791JuoF8vMEUSilJl7YHO4aAhmRLB3Z543eFJ6rwbFnGDx3437eee7SkwGib+dM5OEqAB2Ig9Dupoib9VwlFIQEE6USlSS1hYAYEhQCvysHUIrKlQ465X6s2BFoqJTVcHNBm1nsY0h1ChUcrSFKItvGlEqmmlFqUXl8Tlg8OIUHZMGUSmADLU7gmqaL6hOVLofGlEqFpOBtFglkhXUuqgG99D3wYY9H8jUU5XHfV+GTUrvve8rufXNbQDcuGwSs/IDN2TYGzQXsA0SwonSGarCdaxNpH5CheyORDVasoiLMAd8/6rgZpZUT2WoJ9KPUUZSD6Wi2Unfl6JyUNJP6dOU52pxtA6o8szN8z+dByHSivKlBg0gMR/SpoHsVGqjdM6andVc88JmXDKsnJ3L5QsCP2R4ODQXsA0SwonSGXFuwc0EV4NSGyEILl0tmLrc+jqJA6gUB4I4RTYhUuqmrk5EGEPBSOQNVDSbn+e5oPswgsPjRG0PvD1+0qNWPrIUedCLy50OaHF3znrrRAFMOl553PVe4G0KIG9sLufyZ77B7pRZfmgWt59+SGC18LxEjUg2d9pDNwsxBAgnSmekZmTTLRsxICO3iG6uoOOOQjXIMSQnpQTnGOZI2ozxALTX7g/OMQR98BSVj2CYtCcSFfJ0nvs7Eu/DBd3jRG0LvD1+IMtyr0iU/+k86CkuD5oT1VqpFIkbzIoqubccdILyuGc1ODTo4PSCJz4v5tcvbsHhkjl5eib3nXVoSOQMBiIuwkSEWXE5RlOHnnCidEZGQhSVsqIV1VojZA6CjlveYL+c5peytbe0WZWTs72hNGjHEPRQ2hC4SFTI0w/qzVO8DwKIaW6du+rtEMwuNi9p6XLQ4R7v4c/cvN5kuT+HiuYgOVGeGrRsMBi93y57FkSngq0F9n0RHNtGwDPrS/jTO0p69+L54/jb2TODqko+HJIkeb4Lo6lDTzhROsNqMlJnUCIiQnAzBLjlDcrktKAUlat0uwU3JdF1GRJGIrSpoplquepExfmgnp86GSQDdDZAm/b1lGqkIT7STKTFB8dkAHpqooL0OfhaD6ViMMBBy5Tnu/8XWJtGyCvflPGHN5XU7tWLJ/D7k6dg0CgC1RvPb0pEogTBpMWijAnpqhOpn6DTS608GPIGHtyCm+a2yuAdQwAoqaRyd01U7kgKy90RkDabgzabIyC2eYXHicr2fhtLFCS5i4V1UBdV6ZE3GFkUCkJQE+WvEwU9KT0dOVH76tu55bXvASUCdd2xB2lSAzUQ6m9qNHUpCydKh3RGKakfZ5NI/QQbuXc6bwSpn+EwqYKbousy6LR0Omh1Oz3ZCf5/pjFWE7FWRR4hZNEoW6uSHgKIy/RtWx0Vl1cHQN5ARa2Jqm21Bacg2eNE+dFYUrhIqaVqLOmRSdCYO9/fSbfTxVETUvj9yVN040CBiEQJQoTLLbhpbBWF5cHG1aBqRKWNqH5mOKLTFCcqwVGL3ekK2nEEUOpO5aXEWEecSkqPD3FxeYs7UmmN830guiq6WaO9zEEgI1EJUWYizcrnGBRnVnWivJWU6I01BnLnKs/3rgmcTX6yqbiB97dVYZDgdzpzoEA4UYIQYUpUCkojOkU7fFCRZSR3Oq81MmfEF9yhiE0tACCT+lFVVKlHAlEPpZIZapkDtdXel3ooFU9xufYdeupFMhCRKEmSyEpwF5cHI6U3knQewPhjlMe9awNjj5/Issxf3lUc6JVz8picEaepPQMxGgU3hROlQyJSCgCI7xapn6DSVo3BacMpS550W7AwuDV/MqV6Khrbg3qssU4ghDZV0kMtc9DqjkT540Sp6bzaXYr2kYao71cgIlEQRMFNlwua3c0e/jpRhYuVx+LPNH3ff6hsYWtZMxFmA9cde5BmdgyFZwhxq3CiBEEkIaMAgDi5RVezsEYd7nqoSpLJSg7yXVtcFi4MWCUH9TWiQy+YBEJoUyXkLdlqJCrWDycqIR/M0eDshvo9gbXLR9TIXXqAnKgeragAfw5tVeCyg8EEsT7WoKlkzYCIBLA1Q8W3gbTOJz76QbnpPnpiKqmxI1OJDxY9NyW24A6UDiHCidIhaanptMvKj8DZXK6xNaMYtTPPlTaiLi6vMJppNivSFe3VQroimKjpvEDofoVctdwfeQMVgwHS3Sm9Gm2Ly9VI1Eg1olSC1qGnpvLissDo34xFDEYoXKg81zClpzpRx05N18yG4UiLVb4P3Q4XjR2jYyKHcKJ0SFpchEdws0VccIOHWyMqWIOHD6QjUrkwOhqEiGowCUYkKuSF5f44UdBXdFMjuuxOGtoVBe9Ap/MCLrg5ks683hS666KKtHGiKpo62V7RgiTBkslpmtjgDRaTgeRoCzB6VMtHlRP11ltvsXTpUnJycoiMjKSwsJAzzzyT9evXa22aT5iMBuqNqQC0VJdoa8xopjFEGlFu7LFKw4ChRUhXBAtZliltCFxhechVy0dSWA49HXoaDiJWNYCsJgPxkYEZ6K0Wlge8JmqkReUqanF52VdgaxvZvvzg4x1KFGpWXiLJMfpM5amMtg69UeNE3XDDDaxYsYItW7Zw/PHHc80113DYYYfx5ptvMn/+fJ555hmtTfSJNqsSkrXViwtusJAblShfsDWiVAzuE3VUu0jRBoumDjvt7nEjah3NSFCdqLo2W2ikKUaSzgNdaEVVuqNFmfERAWux7z0/L6C1NIFyohILlFmHLgeUbhyxWb4SDqk8lfQ4xcmrEU6UfqiqquL+++8nPT2dH374gX/961/ceeedvPLKK3zwwQfIssytt96qtZk+0RWtnERdTaIIOVi43Gm1Cindky4IJpFp4wCI764aNUWVekNN5aXGWokwj1yyIinKgtkoIctQ0xpklWWHDTrqlOe+qJX3Rq2Jat4PXc2BsctHAilvoKI6s132ANfSeObm+TCncDAKjlIeSz4f+b58oLXLzoaieiA8nCi16L2uTZ9Dm31lVDhR+/btw+Vycfjhh5OW1jcffMwxxxAbG0tdXZ1G1vmH7D6JmtpE1CIoOLoxtCl3/d1xuVhMwf8pxGcoYzky5FqaRklRpd7wFJUHKD1rMEieYtigd+ip8gZGK0Qm+rePyMQeB6xmR2Ds8pGqAAptqlhNRs/FN6DF5a1uLT5/I3+9KZivPIZ4GPH3Zc3YnTLZCZEUpsaE9Nj+oH6OtcG+KQkRo8KJmjhxIlarlY0bN1JTU9PntbVr19La2sqxxx6rkXX+YXYLbkZ1CcHNoNBciiS76JQtxCX7edfvI5YUJRKVI9VR3iikK4JBqUdoM3DpWdUZCLoT1TuVN5I0mMbF5Z5IVACdKAiSVpTquPorb9AbNRJV/g10h04L7vtyJeI4PSc+ZMccCakxwonSHUlJSfz1r3+ltraWqVOnctlll3HzzTdz5plncvzxx3Pcccfx+OOPD7mPlpaWPv9sNm0/4KgUpVskwV4zzJoCv3DLG5TJqeQlR4fmmO4IQZRko7ZGjPQJBoEU2lRJD1VxuT+DhwdC47ooTyQqgOk8gOxAq5bbu6CzUXkemzHy/SXkK6NjQlwXpTpRB2eHiRPljuwKJ0pnXH311bz++uu4XK4+NVF5eXlccMEF/dJ8B5Kbm0t8fLzn3x133BEiywcmIVOJWkTJnZrVNoxq3PIG++U0CkLlRJkjaDYmAdBapY9hpaONQMobqIRM5sDjRI0wKqLxDD3V2cwIdCQqPsBaUW3uKL8pQhHLHCmSBPnulF4I66K2uZ2oQ8LGiXJHotqEE6Ur7rjjDk477TQuvPBC9u7dS3t7O9988w2FhYWcd955/OY3vxly+9LSUpqbmz3/br755hBZPjCZqck0ykp+294gOvQCTi95g/zk4HfmqbRGKLUX3fVCKyoYBHJunkrI5ueNtDNPJb1XOk+DBgZ1LlpGfGCbNbICrVqu1kPFZowsfdobT3F5aOqiWrrslNQr3/lwcaJSYhSdKBGJ0hFr1qzhlltuYcWKFdx3330UFhYSFRXFYYcdxuuvv052djb33nsve/fuHXQfcXFxff5ZrdpqbSRHW6hCEdxsqhKCm4FGVtXK5TTyQxWJArpjlFSN1Lw/ZMccK8iy7IlEBVI8NT1UQ1NbA5TOS56ojDGxtfQ4ZiHC6ZKpdl8cA6VWrhLwmii1HiomAKk8lT51UcGve1SjUNkJkSS6RSz1jhqJarM56HTLkYQzo8KJevfddwGlE+9AoqKimDt3Li6Xi82bN4faNL+RJIlGkyK42VojohaBxlmvOKalcip5IVAr9+DWo7G2i5qoQNPQ3k2H+6SsijMGgpAJbqoOz0iLnE0WSBqvPK8NbYdefZsNp0vGIPVEHAJFdqBHv7S6B7wHoh5KJbFAccpc9pDM0Qu3VB5AjNVEhFlxPepGQUpvVDhR3d2K3kRtbe2Ar6vLtY4u+Uq7W3BTpPOCgDud1xGVQ6Rl5HpC3hKRUgBAbFdlyI45VlCjUOlxVqymwH2mGb0UloOq76U6UfEB6BZNnaQ81u4a+b58oEIdPBwXgckY2MuL6hjXtNqwOQIQwQhkZ56KJEHe4crz/RsCt99B+L68BYBDwqQzD5QAgRqNCrr2WggYFU7U0UcfDcA//vEPysv76iq9//77fPHFF0RERHDkkUdqYZ7fdEcrP25ZDCEOLF0tmGxKV44xuSCkh451a0WlOavpsod/KFtPBKOoHHrSeUEdmup09NIsCoATlTZFeQyxVpQaJQqGeG1StAWrW8+tujkAF9/eNVGBJG+e8hiCDr1wjETB6JI58HNstb4444wzWLp0KR9//DFTpkzhtNNOIyMjgx07dvDOO+8gyzJ33nknycnJWpvqG/HZUAsWkfoJLA1KZ1ydHEd6ampIDx2TrnRdZkt1VDV3UZASunqs0U5pgIU2VdShqfXt3VQ1d5EUjNqT9hqQnUotU3QAvpOpk5XH2p0j35cPqE5UIIU2VSRJIjshkqK6dsqbOskbaUNIMCJRALnuSFTpRnC5wBCcWEVLl53iOkWPKuycqFHUoTcqIlEGg4H33nuP+++/n6lTp/L6669z7733smHDBk488UQ++OADrrnmGq3N9BlzonvWmq1aY0tGGW4nap+cHtKicgDJXRMVJ3VQXSM+10BSFgShTZWeuqgAD8BVUaPNsZlgCEAqUo1E1e4KaYee2jkXiLmFA5EVyLqoYEWiMg4Bc5QiTVMXvHTqzspWALLiI8KmqFwlZRRFokaFEwVgNpv59a9/zYYNG2hpacHhcFBTU8M777zDcccdp7V5fhGTpgpu1mrSqjxqcTtRJXJGSOUNALBE02JQ7hqbqgbvFhX4TmmD2pkX+Au4py4qEGmkgWhxO1GBGD8CSmG5p0MvdOUAwYxEQYCLyz1OVIAjUUYzZM9Snu9fH9h992JvbRsAE9Njg3aMYNEzP084UYIgkpiuOFER2HqUdQUjp0HpzCtxpYdOaLMXLVblztdWWxLyY49mghmJCrpqeaA0olRMFkieoDyvCV1Kr7I5eDVRvfdb0TxCJ6q7A2xuEePYIAztzTtCedwfvLqoPTWKEzU+DOblHchomp8nnCgdk5mSQJ0cB4CtXugKBQpnvRIB2idnjLyuwg+6opTCYVej+EwDRR+NqGCk8zyRqCCl8zyRqADOcfR06IXOiSp3p/OC50RF9DmO36hq5eYosMaN0KoByHU7UaXB69BTI1ET0sLQiRLpPEEoiI80U+0W3GwUgpsBw+V2opoic4iLMIf8+HJ8LgCWtrKQH3u0Uttqw+ZwYZAgM4AaUSo9NVHBSucFOBIFkKrWRYWmQ8/mcHrSM8FyogKWzguGWnlvcucAkjJeqjU4tY89kajwa04RkShBSJAkiUazMvOvQwhuBgZbG+YOZaizIblQExNMblmFmE6hFRUoShvVWpxIzAHWJ4Je8/OCpVoeDCcqzd2hF6J0njp4OMJsIDEqODcnvQvLR6TZFazOPJWIeEhzj98JQjSqs9vpUW4Py0hUr+68oGqvhQDhROmcDnf9THejENwMCI1KRK9BjiEtLcBdOV6iyhwkOqpxucL7BKIXgjEzrzcZnvl5wUrnqU5UTuD2mRraDj21My8rPhIpGNEdej6Hjm4nzZ0j0OwKVmdebzyim4Gviyqqa0OWITHKTHJMeIlIQ093XrfDRUuXQ2NrRoZwonSOPcZ9pxTCDptRjUfeIINxKdrcwSVkKhGwbGqob+/WxIbRRrCENlXUi3dLVxDmfblcvebmBTASlTweDGboboXm4KeOgym0qRJhNnouwCOaoReszrzeeEQ3Ax+JCueiclA+x9gIRaYy3Dv0hBOld+KVO1NLu0j9BASPvEE64zQSujQnKV2XSVIbVbX1mtgw2ihtcAttBkHeACDWaiLKPR4o4B167bXgcoBkgJgAdooZzT0deiEoLlejdMGSN1DJdte8VYykuFx1ogL5fh+IKrpZuTXgw4j31ioim+GYylMZLXVRwonSORFJihMVIwQ3A4Jc3yO0WahVQWZkAu2ScuzGSqEVFQiCHYmSJMlTFxXwlJ4aZY7JAGOAh0ioHXohGP8S7M48lYAIbga7JgqUYeOxmYqDHOBhxHtrwrczT2W0dOgJJ0rnRKe6BTcdtUrYXzAiHLV7ALe8QVLo5Q1UGi1KLUZHTZFmNowmgjXypTdqSq860JGoYBSVq/RWLg8yqlMTLLVyFdWJCkw6L4g1UZLUE40K8DBiVd4gXNN5ICJRghCRlFmAS5aw4ICOOq3NCXtkdzqvPSafCHMAxmv4SUekcsF0NAitqJHidMmeC3hOEB3joKmWB1qtvDeeGXrBj0R50nlBkJjoTWCdqCBGoqBHdDOAw4idLpmiulGUzhM1UYJgkpkUSy3KmJDOOiFzMCK6O7B0KCdPY/J4TU1xxilaUaYW0XU5UqpburA7ZUyGnpRbMEgPWiQqCEKbKiGcoVcRonReT02Un06UrU0ptofgqJX35sBhxAGgtKGDbocLq8kQ9Pc6mIyW+XnCidI5sRFmqkkBoKmqRFtjwh13FKpZjtJM3kDFmOQeLt1ZoakdowG1HiorIRKjITit9dBTMB34mqggpvOSCt0dem3QHDyHvaXLTptNaVXPitd5TVSbu77UEgvWIM+dy5jeM4w4QMX9RXVKKm9cSnRQv+/BRqTzBCGj2S242V4rUj8jov5HAIrkLAo0riWISlNkDhK6qzS1YzQQ7M48lXQ1nRdo1fJgOlFGM6RMVJ4HUXRTdWgSosxEWoKbJledqJpWG90OP6I7nqLyIEehQGkUUIcRB0jqoKRO+b5r1hgTIEbLEGLhRIUBHZHKj90uBDdHRp1SVF4kZ2omb6CSkKU4URlyLR3d4S02pzWezryE4DYKBE21PJjpPOg1Qy94dVHlnu7I4KeXkqMtWEwGZNnP1Gqo6qFUPHVRmwKyu5J6pR4qX4Ph6YFEdOcJQoYjRrlDlYTg5oiQ63YDsNeVSaFGQpsqMamKE5UmNVFe26ipLeGOpzMvyJEoNZ1X09qFwxmgTllZDm4kCvoqlweJUDmyoMhNZI+kuNwTiQpRSl8dRhygDr2SeuX7XqDB8PRAkuaORNW3d+MM48kNwokKAwxuwU1rhxDcHAndNYoTtV/KJjsEd8xDEpVEB4oNdWU/amtLmKOm84KlEaWSHGPFaJBwyVDXFiCl+Y56cHYDUvAiI54ZesGLRAV77M6BZI2kuDwU8ga98QwjLoa2mhHvrsTdmVcQ5pGopGgLkqR0GzZ2hO/kBuFEhQGWZKWTK1YIbvqPLGNsUNJ53QmF2hdkShL1FiXy0F4pnKiRoEZBgh2JMhokz91zwFTLPUKbaWCyBGafB9I7EhUkrbmyEKbzoKd43T8nKgRCm73pPYx4hNGobofL47AWaFySMFJMRgNJUcp3PpxTesKJCgPi0goASHTWgSvAc7vGCm01mOxtuGQJa9pEra0BoD1acY4d9cUaWxK+2J0uT7dcsCNR0CO4WRWoDr1gp/JA6dAzWsDeHrQOvWArxh9Ij1aUPzVR7pvRUEWioGcY8Qj1osqbOnHJEGk2ehz6cGY0dOgJJyoMSMrIwyEbMOJCbhPRKL9wd+aVySnkpydpbIyCI74AAHNziaZ2hDNVzV24ZLCYDJ5C1WDSI7gZ4EhUsIrKQekQS3LrotUFJ+qpRkdClSbPHonMgRqJigmhExWguig1lZefHIUkha+8gcpo6NATTlQYkJUYQzWJgJA58Ju6HnmD8Wn6CIObU5Ti8pgO0XXpL556qIRIDCFI0QZc5qA5iGrlvUk9SHmsC3xxeZvNQWOHHQidE+W3VpQsh74mCnoiUZVbwe5/FFPtzAv3eiiV0dChJ5yoMCDSYqROSgaguUqkfvyivkfeQC/zpmIylbRiqr0SOchq0qMVTxopRHMQAy64GYp0HkCK24kKQoeeKm8QH2kmLsIc8P0PRO/Ccp9+O7ZWJa0JoXWiEvKVyJfLDuX+DyP2FJWHeT2UikjnCUJGk1nRiuqoE5Eof7BXKxePIjmTQp04USl5StdUNjU0tYfvSURLSkPeFTZCtewDCUU6DyDFrRXllvkIJOVNof0MoOdzaO920tLpg86aGoWyxoMlhI6IJPWqi/I/pTda5A1URsP8POFEhQldkcpdk0MIbvqFs1ZJ5zVFFRBjNWlsjYI1KQ8HRqySnaqyIq3NCUs8nXkhKmhW01Vq9GXEhCoSlRq8SFSoO/MAIsxGkqOVzi6ftKJCrRHVG09dlP/F5Z503iiJRI2G+XnCiQoTHO52XIMQ3PQdRzeWNsX5lFL00ZkHgNFErVGJMDaVBz5CMBYI1cgXlRx3BKSqpQv7SAU3QyG0qZI8EZCgswHa6wK661B35qn4FRVs06AzT6V3h54fUhN2p8vzXo+amiiRzhOECkO80g4f0SlmrflMYzEG2UmbHEFSep7W1vShKUIRUu2q2auxJeFJqC/gKTFWLEYDLn9HjvSmsxEcbgcgNshOlCUKEpRzSKCjUaEW2lTx1EX5Up+mZSTKM4y4ya+0anljJ06XTITZMCrkDUB05wlCSESKcgKMsY1c8XbM4e7MK5YzGJ8e5KntPmKLVZw6qVGk83zF5nBS3ao4MrkhuoAbDBKZ7ov3iFN6ahQqKhnMESO0zAs8dVGBdqKU90GVHQgVWf6MftGiM0/FaB7RMOLiXp15oehEDQVqd15jh92/YdI6QDhRYYIquJngagCnGFjrE/W95A10UlTuIWkcAJGtomHAVyqaupDdwoNJ0UFS+x6AEc1t602oUnkq6iDiAGtFaZXO69GK8iEiGGq18gPJdaf0/KiL2tdLI2q0EB9pxmxUHML6MG2uEU5UmJCSkUO3bFQEN1srtDYnrHDWKqHzIpd+5A1UItImAJBoE7VuvtK7HiqUwoMeJ2rEkSi1My9nhBZ5iVoPGMB0XrvNQUO7Mvcs1PMoPZEodzrRK7SMRAHkuYvL/VAu93TmjZKiclAiu8nR4V0XJZyoMCEjIYpqWVHabq3ep7E14UV3teJElRuzSY/TVy1BYo7SNZXhrMQ50kLlMUaPvEGIIyBuZ8GnWpyBCHUkKggyB2o0Li7CRHxkaDSiVPyKCGqhVt6bHPcw4oa90Fbr06ajTWhTJdyLy4UTFSZYTUZqDSkANFeXaGtMmKEOHnYkTdTdqISUXOXCFid1UFNTqbE14cV+dyQqL0RCmypqBKQsYJGoEKfzmkvB1haQXXoU40PsyALkuj/36hYbXXYvZor2ViuP0yidF5kAae6B0PvX+7SpR2hTOFG6QjhRYUSLRWmH7xSCm97T0YCluwmA6KyDtLVlAIzWaOokZaRP3f7Aa/iMZnrSeaG9gOcErCYqREKbKlFJEKXciKl1giNlnzvFpEWdTmKUmWiLEfDys+hsBIe7fkqrmiiA/PnKY8nnXm/SR94gZfTUREFPcXm4dugJJyqM6HQLbjqbyjS2JIxwF9FWyEmMy0zT2JiBqbcoF9G2SqEV5QtqJCo/xE6UJ53n68iRA/Gk80J4QVejUbWB+a55ooEaOFGSJHkcaNWhHhI1lReZBCYN0/oFRymPPjhRFU2dOFwyVpOB9Fg/OzmdDtj+Bnz5ENgDNEA7AIhIlCBkuNx3rAZRWO49ameeK5ODdCZvoNIercgcOOqEzIEv7K/X5gKeER+BJEGX3eUpqvYZWYZm982QWwMuJKgz9AIkc7DPXaeTn6RNiklNI5Z6k1pVnahQpU8HQ3WiarZ7LXxaXDdCeYOd78FDM+HlC+DD38Frl4LLixRoCAj30S/CiQojjPGKExXZKWpnvMVR4+7Mk7N060S5EgoAMDWLhgFvaeropqVLkfoI1cgXFavJ6ElB+J3S62gAuzt6Eqp0HvSKRAXIiWrQLp0HPUr1Zd5Eolo0ljdQiU6BtKnK831feLXJiNKm7fXw6qXQtF+JwhktsONtePc6xZnXmHAf/eLVELE//vGPIz7QokWLWLBgwYj3M5aJTFUiFnHdQnDTWzoqdxIHVJj015mnYk2bAEUQ2ynmInqLmkZKjbUS6a6LCSXZiZHUtNoob+xkek6C7ztodn/WMemhEdpUUWUOAqAV5XTJlDUoTmSoi/tVeiJR3qTzNJY36E3BUVDzAxR/BlNXDLu6Goka54+8wcbHwN4OGYfAJR/Bjx/CyxfCN09B3pFw6Erf9xlAwj2d55UTtWrVKiRJ8jv/r3ZECSdqZMSnFwCQ4GoEh03bvH644L5YOBIn6K4zTyU+S7mwpToqkGVZt3bqCa3qoVSyEyLZvL/J/0iU6kTFh0gjSkWVOWjYC067oqLtJ1UtXXQ7XZiNkqdjMdSoSvWlDd6k80IsKTEUBUfDpn94XRflSZv62pnX2QQb/648X/AbMEcqTtuim2HtX+CTu+Dgn4BRu6HsY8KJArjgggu44IILfD6ALMssXrzY5+0E/UlNz6ZLNhMh2XE1V2BIHqe1SfrG6SC6XelktGRM0tiYwUnLV1qe02mkobmFpIR4jS3SP1rJG6ioxeV+O1FNqhMVwnooUJw2c7QSmWgohlT/O1bVC3tOYhRGjcaQeArLvYlEedJ5OohEqR16tTsUvaiY1CFX9wht+prO2/RPsLUo6cPJJ/csP+IK2PCY4kxvewUOPdu3/QYQ1Ylq73bS0e0gyqKdQ+cPXltbUFDAwoULg2mLYBjS4iIok5MYJ1XTXF1MonCihqZpH0bZQZdsJj1ngtbWDEpEXAqtRBFLB9X7dpKUcLjWJukereQNVHJGqhXlKSoPcSRKkpSUXuUWpbh8BE6Up7Bfo88Aej7/pg47rV12YiOGiKx5Rr7oIBIVnQzpB0P1Nij5VIkGDYLD6fJ8331SK3faYePjyvOjrwdDrxJoawzM/xV8vAo+uRsOPkOzaFS0xUik2Uin3Uldazd5yeHlRHlVWH7llVcyd+5cvw8y0u0FCmajgXqjcsfSIlTLh6deEdksljOYmBGnsTFDIEnUmpQTe3O5kDnwhn0aX8A9tTjeFDQPRLNb6y0hL0AW+UCAisu1LioHiLGaSIxSHKdhU3qe7jyNC8tVChcpj3vWDLlaRVOXR94gI86H+rmiddBRB9FpMPXU/q/PuUwpNG/YC9tf936/AUaSpF4devqRXvAWr5yohx56iOOPP97vg4x0e0EPrRZF66irXghuDkd31Q8A7JGzmaTTzjyV1iglrdNdu1djS8KD/Zp3hSnHLWv0UytKC3kDFY/Mwcgcdj1EosDLlJ7TDm3uhhytu/NUJixVHvd8PGSXXHF9z+Bhn+QNvn9ZeZx22sBRJmuMktYD2PR37/cbBFJilAHi4VgXJSQOwgxblHICcAnBzWFpK90OQLk5n+QYfRfhO+LzATA0lWhrSBhgd7qoaNK6K0xJ57XZHDR22H3fQZNGheUQwEiUn8XOASbXm6hgWw0gg8HUo9quNflHgjkK2qqg6vtBV1PHvfj0Pnd3wI53lOeHnDn4erMuVCQPyr6C8m+933+ACeficuFEhRlOdz7f2CYEN4dDrt0JQGf8RI0tGR5TSiEAUe1C5mA4Kpo6cclgNRk8J99QE2E2eiQzfE7pdXcoaRaABC0iUeog4h/B5d/Qa1mWNR350pucJC/q03oPHjbo5LJnssI4d8f6no8HXc0veYPd/1OaBxLyIWf24OvFpCqRKoCv/uX9/gNMODtRXldw+aMVZbFYSEtL44gjjmDq1Kk+b+8Pn332GQ888ABffvklDQ0NJCUlccghh/DrX/+aE088MSQ2BBNTYi7sh8jOKq1N0TeyTEyLkhqzZEzR2Jjhic08CDZDcne51qbont6deVrKQeQmRlHdYmN/QweH5iZ4v6E6M88SCxE+bBcoksYpERl7u2KLH46cUsitiJ1qns5LVFOrQzizequHUpmwVHF49nwMR1834Col9X4MHv7+FeXxkDOUZoKhmHs5fPeiss2xf1KK3kNMaoxS6xWOquVeO1H+aEX1PsEtX76cF154gYiI4AnL/fnPf+b3v/89KSkpnHzyyWRmZlJXV8fmzZtZt27dqHCiolKVtE+8ENwcmpZyrK4O7LKRpLzJWlszLCn5io2Zcg3tnV1ER4ZQgDHM0LqoXCUvKYqv9zV6117fmyZ3PWN8zvAXuGBgNENSoVITVbfbLydKLSpPj7MSYQ692GlvcrzRitKLWvmBqHVRpRuhqxki+subqOk8rwcPdzYqgpowdCpPJXsWZM2Eis2w+Rk46lrvjhNAeiJRfo5R0hCvnahbb73V5507nU5qamr43//+x9tvv82qVau48847fd6PN7z00kv8/ve/Z+nSpbz22mvExvYtJLbb/ahb0CGq4Gac3KKkBSyja6J3wHCn8krkDCZmJmlszPDEpebRjQmL5GDfvj1MnHyw1ibpllINh972JseX4be9UYvKtUjlqSRPVByo+j0wYYnPm2s9M683eb0KywcVq1WFNvXmRCWNg6TxSodc0bp+6uV2p8szF7AwJca7fe54G1x2SJsGaV5E4SVJiUa98Uv46gk48ldgCK1jHM7z84LqRKl0dHRw2GGH8fLLLwfFiXK5XNx0001ERkby3HPP9XOgAMxm/5V59UR6WjrtspVoyYajqRxTmv7rfbSgs+IHIoEf5Wzm67wzDwCDkWpjJrnOUhrLdoJwogZFa6FNFc/F2xu17N5opVbem5QJsAu/x7/srVWcqMJU7Z2onMQoDBJ0dDupbbORFjtAFFcd+aK3dB7AQcfDhkcU5+cAJ6qssROnSyayVw3esKhdeYec4b0N006HD/5P+W7u/h9MPsn7bQOA2p1XF4Y1USGpsIuKiuKEE06grCw4HWVffvklJSUlnHTSSSQmJvLuu+9y11138eCDD7J+/fqgHFMrUmIjqELJWTdXl2hrjI5pK1M68yrN+cRHhocD3RypaAZ1VgmtqKHQixOljhzZ72skSiu18t4ku2++6v1zoopq2wB9OFEWk4HMePdnUT/IZ9Gi00gU9BR273of7H0d8uI65X3OT/ay/q+lUpnHB0MKePbDHAGHna883/QP77cLEL0Ly/0dL6cVIZMGPfXUU0lISAjKvr/66isAMjIymDVrFt99912f1xcsWMArr7xCaurg0votLS19/m+1WrFa9dcWbzRINBhTGe+qoKW6hORDtLZIn8ju9u2uxPCJ1NkSCqHtCwwNe7Q2RbfIsqwbfSI1nVjR1InD6cJk9PKe1JPO00BoU8UziNi/75oaiRqf6mWKKcjkJ0dR3tTJvvoOZhcMkL5v1WlNFCjdc/G5ShRoz8cwZbnnpeI65bvudWfe9tcBGXIPh8R83+yYfTF8+TclrVi7e0Rq9r6S4pag6Xa6aOl0EB8VHje+4GUk6oorruC9997z+yBXXHEF7e3tI0oJDkVNjVJk/dhjj9HZ2cmaNWtobW1l27ZtLFu2jE8//ZQzzxy6wC43N5f4+HjPvzvuuCMotgaCFks6AN31QrV8QGSZ2Bbl4mBO139nnoopVbmwxbSVaGuIjmnqsNNqU7rCtBr5opIeG4HFaMDhkqls9kFpublXYblWqJGoljLobvdpU5dL9kRICnXiRKkO9b7BooKedJ4ORr4ciCT1pPEOUA7vKSr30onypPK8KCg/kMR8OOgE5XmI5Q4izEbiIpSYTriplnvlRD3++ON8/fXXfh9kpNsPh9PpBJS71FdffZVjjjmGmJgYpk2bxuuvv05OTg6ffPLJkKm90tJSmpubPf9uvvnmoNk7UmzR2QDITUJTaEDaaoh0tuKUJZLyQyOtEQhisxWHL61bfK6DsV9HXWEGg9SrM8zLlJ7TAc1uiQMtI1HRyRCZqDyv900lv7Kliy67C7NR8qQ0tUaNCu6vH8AhtLUpQ3hBH8OHB2La6crjrv8pDUNuVHmDcd7IG9TsgIpvQTIOPObFG+ZepjxueQ5srf7tw0/CtUPP63ReSUkJn376aTBt8ZvEROVkUFhYyCGH9M1vRUZGsmzZMp544gk2bdrEvHnzBtxHXFwccXE6nq/WCzk+B+rB3CZUywfE3Zm3T05nYpZO1Im9IL1Q+e5myrU0t7QQHybfx1Cil3oolZykKIrq2r2XOWgpB9kJRqsi/KglyROhbJNSF5U53evN1HqovKQo71OYQUbtEhwwEqVGoSyxYNVpk0n2YYpT3bQffvzAUyflEdr0pvbs638rj5NOUEQ0/aFwkfK9qP8Rtr7Q41SFgNRYK3tr28OuQ89rJ+rpp5/m6aef9usgwRbEmzRJUeAdrOZKdbI6O/2cuK4zzMn5UATRXUJwcyDay7YTjTIzb36aPtIN3hCdmEErUcRKHVQV7yD+0MO1Nkl3qE6U1qk8lbwkH4vLm9wp+IRc7ZWzU9xOlI91UXtr9JXKgx7V9AEjgqq8gR4781QkSSkE//x++OYpmHYaNoeTcvd4o2GFNm1titMDMOeSkdkx93J4/0bY9E+Yc2nItMzUuqhwUy33yokKRC3TwoULR7yPwViwYAEmk4k9e/bQ3d2NxWLp8/q2bdsAKCgoCJoNoSQ2fRwAifYaZXClhqrNeqS1bBvRQI01n2hryHonRo4kUWXOJda+i+ayH0A4Uf3QS1G5Ss/cNi9v0BpLlMcEH4t+g0HyBOXRxw69ojr9yBuoqOm8urZu2mwOYnr/7j1CmzpN5anMugi+eNBd2L2L/a4sZBlirCaPBMCgbHtVSVkmjoNxi0Zmx6Fnw+rboG4XFH8KhcG7dvcmXEe/hMyJCiYpKSmsXLmSZ599lttvv51Vq1Z5Xvvoo4/44IMPiI+P5/jjj9fOyACSnDUOlyxhlbqhvRZi0rQ2SV+onXkJ4dOZp9IanQ9Nu7DVCJmDgVAjPlrPa1MZtqD5QBrdkShfO6eCgadDz0cnSmedeQBxEWYSo8w0dtjZX9/B1KxeqXBPZ54Oi8p7k5gPk06Ene/Apn9QXHAjoCiVD5nNkWX4+gnl+eyLRx7hjIiDQ8+Br/6pyB0IJ2pI9JHQDgD33XcfEyZM4LbbbmPhwoXccMMNnHnmmZxwwgkYjUb++c9/Bk1iIdRkJ8dTjZKibK8p1tga/RHTqqQnTGEwM+9AHIlKdMDS6Fux71hBbzVRateU2kU1LJ50ng6cKI9W1B7lQuwlak3UeB1FogDy3Cmv/Q0HfBatYRKJAiWVBrDlecqrlXKNYVN5ReugcqtSZzfzpwGyw10Lteu9Hl2zIJMaE56q5aPGiUpLS2Pjxo1ce+217N+/n7/97W+sWbOGk046ic8++2xYiYNwItpqolpSCgebKsXFtg/tdcQ4mgBIyp+mrS1+YElXtFniO4R8xYF0O1xUNitpM73URKkXuOZOO43tXnQVeSJRBcEzyluSxoFkgO62nuLrYejodlDhlnPwegxJiMhXo4IHCm56hg/rPBIFMG4BpE4BezsZu5Uap8Kh5A1cLvjYnSmafTFEBWjEVeokGLcQZFdPwXqQUSNR4aZaPmqcKICkpCTuu+8+iouL6e7upr6+njfffJMjjjhCa9MCTrNbK6qjpkRbQ3SG7O7MK3WlMj47XWNrfCchV5FkyLCXhZ1yb7CpaOrEJUOk2ei5a9WaSIuRjDhlzEjxQO31B9Kko3SeydoTEfOyLkpN5SVGmUmMHqZOJ8SoKd5+qVW9Dh8eCEmCI68CYGH106TSOLRG1A+vK1EoSywsuCGwtqhRsW+fBnvwtZvCdX7eqHKixhIdkcpdlaNxv8aW6IvWUmXcyx45W1c1G96SMU5xohKkNuprKjW2Rl/s65XKC3bHry8UpCgX72FTevZOaKtWnushnQc+10X1FJXr77elpnj7jX7Rs1r5QBx6LmTPIkru4P/Mzw7uRNm7YPWflOfzr4HoAMu5HHS8oqTeUd9PBDQYqDdG9W02nK7wuYEUTlSY4nKrHRtbhFZUb1rLlE7MmogCzcUY/SEiKpZqSTkZ1pRs19gafaE3eQOVcd7WRTW5b3iscT1Cl1rTuy7KC3ZXKQKME3UoHZKfrGpF9focXC59Dx8eCIOBruP+ikuWONX4JRNbv+q/jizDW1dBYzHEpMO8KwJvh9GkpAgBvnxIeS+DSFK0BUkClwwN3qTGdYJwosIUY6KidhzVWaGxJTqjRknnhWNnnkqtRRlM21L2g8aW6AtVjVovReUqal1U0XBOVGOvonK9RNJS3DIHXkaidlUrTtSkDP2JVqrpvPLGTrod7gt+Rz247ICkOBthQrFlIv91LgUg9s2LeoYKq3x6jzLiRTLC6f8AS5CK/GdfpKQKa7YrReZBxGQ0kOxOEYdTh57XTtQzzzzTb7CvQDti0hStqITuao0t0RexrUqhvTkMO/NUOuOUz9ZZ61vr+WinxJ2mUdNnesETiRquJkrViNJDPZSKJxLlpRPljkRNStefE5UWayXKYsQl06MgrwptRqeCMXyG2pbUtXOH4xy2mg9VCv+fPQM+XgXfvQTPnApr/6yseNI9isp4sIhMhMN/rjz/5C6fujj9ISUMO/S8dqIuvPBC3njjjSCaIvCFxMzxAMTIbdDVorE1OqGzkThHPQBJBYcMs7J+kdx1KtbmIo0t0Rf73E5KvjdzxEJITzqvY+hmgCYddeapqDVRTfvBMfSFq93m8KRU9RiJkiTJ893wpFbDLZXnpri+nU4i+G/hX5WhwI4uRc38tcugaC0YTLDo5p50WzCZdyWYo6HqO9j9QVAPFY5aUSKdF6ZkpKXQJCsnDFu9aIcHkN0imxVyEuNzwuuk2ZvoLCWKltwlmgZUXC7Z07peoBOhTZXcpCgkCdpsDurahqjl0JNauUpMupKukV3QMLTTvtudykuJsZKsk+7IAxnnjlKqM+docUeiwqWo3I3qBOakJsHK/8Cpj8OMn0LmDEXZ/OpvYNFvQ2NMVFKPbtTavwS1NkotLq8bjZEogb5IirZQgaIV1VgpIhYAjfu+B2CvnDN0W7DOSR+n6FtluSrp7AqfAstgUt3ahc3hwmSQyE6I1NqcPkSYjWTFKzYNmdLTk7yBiiT1qosaWiVfTeVN1mEUSqVfalWNRIWZE6U6gQUpUUoacsY5cOoj8PNPYPkDoY9mHvkrpSGi6jtlxEyQEJEoQciQJIlGs1Io2VYtVMsB2tydebURBZh1Ml3eHxIzC7Fhxio5KC3ZqbU5uqCkrqczz6TDz1a9eBcPVlwuy6DKkegpEgWQogi8DldcvrNKv0XlKgXJPalVoKcmKuycKMX+cXq5GYxOVmQUAFb/cdjUr7+EoxPl03TWpqYm9u/3LcWQl5fn0/oC72mLyIQ2cIh0nkIYz8zrjWQ0UW3MIs+5j/p9P8Dk6VqbpDklnnoofaXyVMalRPP5nrrBZQ46G8HWrDxP0Nk50UuZg11h4ET1c2ZVoc0wqolq7bJ70lm6iqgfcQV89S9o3g+b/ukRBQ0ko96JevDBB3nwwQe9Xl+SJBwOh89GCbzDEZsNbYDQigIgtkXpzLOEcWeeSnN0AbTso6tyl9am6ALViRp2jphGFAwXiap3j2eKywaLzhxBL2QOZFn2yBvoOZ2nfg4VzZ102Z1EeNJ5YTDyxY1a+5cSYyEuQkcdhZYoOOb/FH2qT+6GQ86E2MDKRoTj/DyfnKi4uLhRM8R3NGBMzINKiGgv19oU7bG1kuioASBpXPh25qk4EsdDyycYG70TQRzt7HOnN/QbiTqgoPlA1KLtpMIQWeQDvWUOZHlADau6tm4a2ruRJJiYpl8nKjnaQqzVRKu7k/AgTzovDIYPu/HUQ+nxhmHGufD1E1CxGT78P/jJvwK6+1Efibr22mv5wx/+ECxbBD4SkVIAQJzNu+GhoxlnzW6MQI2cwLjcXK3NGTER6QfBPohtE6la0H8kakKq4lgU1bXjdMkYDQc4Ig3uSJQunajxgARdzdBeBzGp/VZRU3kFydFEWvQ7CUCSJMalRvNdWTP7qhs4qEORPAmL4cNuSjxF5Tr8rhuMcPL98M/FitjnjPNg/DEB272qE9XcacfmcGI16fe7pqK/Ck2B18RnKifkBFcDOMZ2F1dDiSIEu1fO1p2itT8k5SsdehmOUhzO4I5b0Duy3EveQI8XFiA7MZIIs4Fuh4vSAwfgQk86L3l8aA3zBnOkMiMNBhXd3FmlaNHpUWTzQFRHu67cHf0zRepnzI4X7K1tA3RUVH4gWTN7hhO/e31AhxPHR5oxG5UbkPqh5EJ0hHCiwpj0jBw6ZQsGZJxNY7suSu3Mq4sc1z8KEIakuJ2oTKmBspp6ja3RltpWG512J0YdyhuoGA2SZ+D1jzVt/VfQczoPhq2L+q5MKYqflhUXKov8RnW022rdUdz4HP2M2fGCvbVKJGqCDucTejjm/yAmQ4mwfvFAwHZrMEg9quVhktITTlQYkx4fSQXKsNqmqr0aW6Mx7s48W2J4d+apGGOSaZaUC1ZV0TaNrdEWtUYkOyESi0m/pyx1KO+PNa19X5DlXuk8HUaiAJLdTtQgHXrflTUBMD03ITT2jAC1Pq27vlRZEJ+toTW+IcuyJxKlOuW6JCIOTrhTef7ZvT2R1gAQbnVR+j0jCYbFaJCoNyr1Cy2VY1srKsY9M8+UMVVjSwJHvVVphW8t36GxJdqipvL0WlSuMtGd6tpTfUAkqrNRqTcCfY186Y2nuLz/xbC5w+6ZWzg9Oz6UVvmFms4ztrkbbuJyNLTGN6pauujodmIySLr/vjP1VJiwFJzd8M61AZurF24del47US6XSxSV65BWq6J/Yqsv0dYQLenuINmu6MEkh/HMvAPpjFdSP+o4m7GK3ovKVSakDZLO07O8gYpaqzVAJOr7csUBzEuKIjHaEkqr/KIwRfkc4mzu4ezx4eNE7a3p0UPTvWCwJMGJfwVTBBR/AlufD8huRSRKEFJsMUqoWm4q1dgS7bDX7MaATL0cy7h8nalBjwApdRIAUS1jO1UbNpEotxO1p6YNl6vXXbne66GgJ53XUATOvtp+W9VUXo7+o1AA8VFmUmIsZEruWsIwSuftcaeCdZ3K601SYc8Mv//dDG01I96lqIkShBTJ3VVjaRu7WlH1xVsBKCJHt4XH/hCbqxSXp9n2IQcoVB6OqJEo3XYruclLisJiNNBpd1Le1Nnzgp7lDVTic8FoBZddUaTuxXdh5kQBFKbGkKU6UXHh40SpReXj9VxUfiDzroKMQ6CrCd6/acS7S4tTnKia1sB1/QUT4USFOZYUJfIS3VWpsSXa0Vq2HVA686Qw6sIZjrRCZdxLvlxJbfMAbfNjAFmWPbo5+TpP55mMBgpTFRv39E7pqZEoPcobqBgMvVJ6fSOfamfe9JyEEBvlP+NTY3pFosJHNy4sisoPxGiGUx4CyQDbX4M9q0e0u7TYCACqW0QkShACYtPHAZDkqAHX2NQTkkZZZ56KNbkAGxaskp2y4rFZXF7X1k17txNJgtwk/UcZJwzUoVcfBpEo6Enp9ZI5qGntorK5C0mCg8OgqFxlcqKLOMkdDQyjdJ7qROla3mAgsmbC3J8rz9//zYgGFGfEK05UTYuIRAlCQEpmAU5ZwoIDua1aa3M0IaZVKYa1ZEzW2JIAYzBSbVHuopv3j02Zg33uVF5WfGRYqBerI1F+VDv0wkHeQGUAmYPv3VGoCakxxFh9GnChKVOiFCe2VYoBi74jmCotXXZP9EWNaIYVx9wMMenK9+fLh/zeTbonnWfrW1uoU4QTFeZkJcdRRRIArdVjUObAYSPVrszHSi6YrrExgac1RrnwOqp3amyJNpR4lMr1XVSuMjH9gA69jgb9yxuoDOBEbS1tAuCQMKqHAhhnbgSg3JWEMwwuxABF7nqotFirvgYPe0tEPBz3Z+X5p/dAS4Vfu0mJsSJJ4HDJ1LfrX7VcOFFhToTZSI2UBkBT5djr4rJV78aIixY5ioICnd/p+4GcchAA1qaxOYhYjUTpvR5KRe3Q213dqtxF17nlKeLz9CtvoJKiakX1fNc2FDcAMKcgSQuL/CbZWQtAmSuZssbwqCfcWxOG9VAHcsiZkHsEODrhk7v92oXZaCA5WolGVYdBSk84UaOAZqsyobyjduwNq60p2gJAkZRDWlyEtsYEgahsRTw0ubNEW0M0QlUrHxcmTtS4lGisJgMd3U6lq7But/JC6kHaGuYNaiSqpRy62+myO9myvwmAIwqTtbPLDwwtSrdypZzsqTPSO56i8rTw+K4PiCTB0lXK82+f8VvJPCM+fDr0hBM1CuiKUiaUuxrHnhPV7u7Mqx9lnXkqqeOUFGWeq4zWTv2HtgNNuGhEqZiMBiZnKuN6fqhsgVq3E5UySUOrvCQqqWdQb/1evt3fSLfTRXqclYIwef899HKi9gw0y1CH7HbX0U0I50gUQP48mLgMZCes+bNfu0h3d+hVNeu/Q084UaMAZ7wyHsTcMgYFN0dpZ55KbNYkHBiIlTrZv69Ia3NCiizLPWrlOteI6o06pHd7RUtPOi8lTL6fyT0pvQ17FYmAeYXJ4XeD0qwMZC+Xkz0q4HpH7eg8yD0+KKxZ8nvlcftrUP2Dz5urWQWRzhOEBEuKInMQ01mmsSWhJ9Y9M88yimbm9cFkodqkRBrrS77T2JjQ0thhp7VLUc/OSwqfSMhUNRJV0SsSlRoGkSjoVVy+lw1FSj1UuKXyAI8TFS7pvM5uJ/sblKjrQRmjwInKOASmLFeeb3jE583Tw0hwUzhRo4DYTOXEl2yvGltaUU476XblZJk4imbmHUhztKIvZKvw/Y4unFGjUJnxEUSY9S9voKJGovaU1/aof4dDOg8gRTmXOGp3s8XdmRd2TpTL5ekMqyA8nKi9tW3IMiRFWzxjT8KeeVcrj9+95PM4mIw4NZ0nnChBCEjLGY9DNmDBjtw6dpTLO6t3Y8JJmxxBwbgwKNz1E5c7xWJs+HGYNUcXPUrl4ROFApicEYdBgoSOEmVBZBJEh4kj4o5EdVbuotvpIjM+IuzefzrqwGlDRqKGJBo77NS36bu2Zne1ksqbGG4im0ORdzjkzAFnN3z1L582TY8LH9Vy4USNArKTY6lAOUk3V46dVvjqPcrMvH1SDsmxo68zT0Xt0EtoH1s6YKpGlN5n5h1IpMVIYWoM4yX3PMtwSeWBx4kyNxUBMkeEYz1UkxL9k+KyyEhUooJq0bZeUe0bFfVQvZl3pfL41b/A3jn0ur0Ip/l5wokaBVhNRqoNmQA0l4+daEWbOjMvapzGlgSXNHeHXq6rlOZOu8bWhA5VIyovKbycKFDqoiYY3E5UShhFSZMKAYkIZyvJtHDUhBStLfKdJneXckKexylRIz16RbXvoPRRFIkCmLxc0UjrqIcdb3u9mRqJqmvrxu7Ud4mKcKJGCS0RSvFxZ+3Y6eCS3J1P3Qlh0vnkJzHuSFSq1ELRvv0aWxM6PBpRYRaJAqUuarzkVmwOp0iUORJ7rDJrboKxiiVT0jQ2yA/ckSjFieoRP9UznnTeaItEGU0w8zzl+ZbnvN4sKcqC2ahEQGta9Z3SE07UKMEWq8gc0FCiqR2hJMbdmWfOHKWdeSrWGOqMysWstnhsdOjJsuwZgzE+DOeITcuKZ4LqRIVTJAqoMuUAsDStlYQoi8bW+EEvJ2pShv4jUe02B2WNSqpr1KXzAKavVB6L1nm6JofDYJBIiw0PmQPhRI0SpMR8ACxtY0QryuUkw678rcnjRm9nnkpLjNKh11WxQ2NLQkNtm402mwODBHnhVtgMTMuIYpykNHm0xIRXunlrZyoARyY0amyJn/RyotSB0Lur25Blfc7QU8VAU2IsJEWHodM6HEnjIO9IQIbvXvR6M09dlHCiBKEgMl25yMZ3+Tf0MdxordqDFTudsoX8wslamxN0nElKytLQsFtjS0KDGoXKSYzCagofeQOVRFs5FslJp2zhm6bwqXOpaOrkq1ZlTt4EY5XG1vhJk/tGMiGPwtRojAaJ5k67btNCPfVQozAKpTLjHOVxy/PgpTMbLjIHwokaJSRmKxfZZFcd2PX9pQsEVXu2ALDfkE1c1OjtzFNRO/QS24t1e0cdSMK5HgqA6m0A7JJz+WZ/s8bGeM+H26sokpUmFWtzGHaDynKfSFSE2eiRaNhVpc+U3o81o7QzrzdTTwVTJNT/COXferWJR+ZAp86vinCiRgmZGTm0ycqXzt4w+mfoqZ159VGFGlsSGlLcHXr5chm1Ote8CQSqE1UYhvVQAFQr388drjy+2RceaTFZlnnl2zKK3U4UDUXgcmprlK+014GjE5AgTqntmqTzDr2dVWpRefhELH0mIg4mHa883+ldl56azhM1UYKQkBoXQTlK8XFD2ehP+UjumXndo3Rm3oFY3cXzOVIdP5ZVa2xN8Clyq0wXhmskqkqJRO2U89hS2oRD523aAF+VNLKtvIV6Yyqy0aqIJDaFWTeoam9sJpiU+iK9yxzsqGwBYIp7XNCoZdJJyuPO97xaXaTzBCFFkiTqzModZGvV6BfcjG0b5TPzDiQqiRZDAgA1Rd9ra0sIKPJEosL07twdidpnHken3emJNuiZJ79Q0ncrZuYiJY9XFtbv1dAiP+ilEaWiOlG7dCi4Wdtqo7bVhiTB5NEwM28oJh4LBpMylNuL71VGvNuJEpEoQahoj1L0XbrrRrlWlMtFll2540x2p7nGAmqXV1fl6O7Qsztd7A9TtXIAupo9M/Mic5Tv57f79Z3SK2vs4IPtSiH5hfMLwONEhZl4b696KJVJGYojvqe6FZdLX/WEahSqIDmaKItJY2uCTGQCFBylPN/57rCrZ8ZHAlDZ1KXrOlDhRI0iHHGKzIEh3ELwPtJQuZdIbNhkE3njx0gkCnAmK6KNpvrRna4ta+zE4ZKJNBs9If2wwh2FIi6HKeOUi7ne66Ke/rIElwxHjk9mckacZ/wL9WEW1R7AicpPjsZiNNDe7aS8yfvRI6FAdaKmjvZUnsrkk5XHXcOn9DLdkahOu5OWTkcwrRoRo9aJ+s9//oMkSUiSxL/+5dvww3DFlKxEKqI7vBM0C1fUzrwyQzaREaNk4rkXRGVPAyC5o0h3d9SBRK2HKkiJxmAIs7lt0ONEZRzMYXmJgL6dqN3VrTz1ZQkAlx3tbtRwD72mLvwjUWajgQnuwb6q06IXeuqhRnkqT2XSCcpj6UZoqx1y1QizkcQoMwCVLfpyfnszKp2o0tJSrr76amJiwrSewk9iMpS7x6TuCq+1OMKRdk9nXniJGI6UpAIlNVQol3oUjkcj4d+ZpxSVkz6NGXkJGA0SZY2dlDZ0aGvXALhcMr999TvsTpmlU9JYNEkR2uyJRIVbTVR/JwpgapYS6flBd06UUis36ovKVeJzIPNQkF2w56NhV89QU3o6Li4fdU6ULMtcdNFFJCcn84tf/EJrc0JKco5y4ouWO6BTv3e+I0WdmWdPDK9xGiPF6C6iz5Nq+LG8RmNrgsdet9BmuHfmkX4wMVYTs9zRqE92D33nrQVPfVnCt/ubiLYY+eOKg5Ekd+QvxR2JaimDbv05fwNygEZUb9R02Q8V+nGibA4ne91R1zHjRAFMWKo8Fq0bdtUsd0qvskk4USHjb3/7G2vWrOHJJ58kOjpMT8J+kpOWTI2cAEBrdZjdQfpAnHtmniVr7NRDARCdSpsxHoMkU1c8ejv0iuvc8gbeRKLa6+Drf8PLF8Fn94FN4y44lwtqflCepx8MwEJ3dEdvTtRLX5fyp3cVW39z/GSyEiJ7XoxKgkjF+aMhTM4lvTWi4nP6vKTHSNSP1W04XDLxkWZP/c+YoHCR8lj0ybAZE0+HXrN+I++jyonasWMHv/3tb7nmmmtYsGCB1uaEnGiriUpJ0YpqHKVaUXKvzryUgrHTmQeAJNEco0QbbZU/aGxM8OhRKx8mHb/zPbhvKrxzLWx/DVbfBg9Mh+9eCoGVg9BYDPYOMEVAklJftPAgxYn6ck8d3Q7t9aI6u538bfWP/OaV75BlOGduHj87Ir//iuFWXN5YojzGZYGpb62kGukpa+ykudMeYsMG5ode9VCeCOBYIGeuol7eVgVuvb/BUJ1Lkc4LAQ6Hg5/97Gfk5eVx++23+7x9S0tLn382W3iqQjdaFZmDjurRKXNQXV5MjNSJXTaSPX6a1uaEHDlVmRNobRz65BOutNkcVLcov70h5Q2qt8Nrl4HTpkR8jr4eksZDZwO8/gso/jREFh9AxWblMX0aGJWW9amZcaTEWGjvdmpSYG53uihr7GD1jmr++sFOjr57Lfd9pNxkXTS/gNtPO3jgAn61uDxsnCj3mJrE/rWS8ZFmchKVSJteUnpjRmTzQMwRkHeE8nyYlJ4qc6BnrahRI0zxxz/+kc2bN/P5558TGRk5/AYHkJub2+f/t956K6tWrQqQdaGjKyYHbOBqCMO5V15QtXcLGUClMZM86xgKgbuJyT0Y9kBqZzHdDhcW06i5DwKgxB2FSomxEB9pHniljgZ4/hzoboNxC+Cnr4HRDItugTevUCbFv3wRXL4OEnIH3kewUOeCZc/2LDIYJBZMTOW1zeV8sruWeeOTg3b4mpYuPtldy5d76ymqbaOyuYvaNlu/rElOYiTXLJnIGbNyBo+CqFpRdWHiRKnnvKSCAV+emhlHWWMnP1S2BPUz8BbVmRtzThQoKb2itYoTdcTgtctqJKpCZ9IUvRkVTtSmTZu4/fbbuf7665k3b55f+ygtLSUurufLbLWGaet8QgHUg7m1VGtLgkJHr868vGHWHY3E5x0CwARKKa5rZ9IoUzlWC22HjEKtu1NRpk4sgDOfVhwoUCI/yx+Emh1Q9R28eglc/AGEMlVS/o3ymH1Yn8ULJ/U4Ub89YXLAD7u3to1H1+7ljS3lOAeQvzAbJfKTo5mRm8CR45M5eXrW8A542KXzBo9EgVIX9eEP1bqIRLlcMtvKlcHU03PiNbZGAwoXKo8ln4PT4YnaHkhGr3SeLMu6THuGvROlpvEOOugg/vSnP/m9n7i4uD5OVLhiSR0HeyG2c3RqRY3VzjwVKc3doWeo5d3y6lHnRHnkDQarh2qrhW+fVp6f/IBSAN0bcySc/Sw8Ok/RovnhTZh2atDs7YPTAZVblefZs/q8dNSEFCRJSeGUNXaQkxgVmEO6ZB5bt4f7P/7R4zxNz4lnwcRUpufEk5UQSUZ8BElRFt81t9QOvfoflQJgHV7A+uCJRA3iRGXqp7i8qK6d9m4nEWYDE8J1tNFIyJiuNC50NkLFt5A7d8DV1HReR7eTVpuDuIhBotMaEva5gLa2Nnbv3s2OHTuIiIjwCGxKksRtt90GwGWXXYYkSfz617/W1tgQEJelnPiSHTXhN4HdC+LalFovdSDvmCM6mVaT0jVVXzL6OvSK3PIG4wbrzNvwCDi6FCdF7fI5kIQ8OPJq5fnqP4IzRIXEtTuU7jBrvFKf1YvkGCvzCpUU0uvflgfkcPVtNs771wbu+XA3TpfMMZNSeePK+bx11VHcsGwSx03L4ODseFJirP6JliYVApIyxqajPiA2BxUvIlEAe2paNS/w/768CYBpWfGYjGF/GfYdgxEKjlaeF38y6GqRFiMJquCmTmUOwj4SZbVaueSSSwZ87dtvv2Xz5s0cddRRTJo0ye9UXziRkT2ObtmIRXLgbC7HmDh6kl5Op4ts+z6QIKVwjHXm9aItdgKxjV/hqNgOnKa1OQGlJxI1gBPV2Qib3NMHjr5h6MjIvCth0z+V9vxvn4E5A58jAoqaysuaAYb+F8YzZuXw5d56Xvm2jKsWTxhRaqKiqZOfPbGRvbXtHo2n0w/LDmy6wxwJ8bnKHMD6PRCdErh9B5rudmirVp4PEonKTogkLsJES5eD3dWtHJytXRrtuzIllXeIhjZoTv6RsOMt2L9xyNUy4iJo6rBT2dypy8h72DtRkZGRg451WbVqFZs3b+aCCy7g0ksvDbFl2pCZGEMpqRRQRWPZblJGkRNVUbaPXKn9/9u78/i2qjPh478ryba8O97jeHf2nQQSCAHC0kCAAilrWUIotNBOaQMt8/btTAfe6bTAFFqgG51SIIUppSllbQopJCEQkpB9I5vteIvjJd7jXdJ9/ziSbMeOF1nSleTn+/n4cxVJPvdcrrEen/Oc52DXNdLzZhrdHcOY0qZBw3YiGkOrjIWu64NXK9/5MnS1QOoMmHzV4I1FxMIl/wf+8Qh8/CScc2e/Ze9e586Hmj/gy1fNTOdHbx2gtK6NHaUNnJebOOD7hlJW18ZXf7+VE43tZMRb+eO9C5iY6qMPl6SCniDKtaIqELmm8qwJPfWtzqBpGrMy49lcWMf+E02GBlH7K8ZwPpSL6+ep/HNVX22APzwAMhIiOVzVQlWAljkYg+OIoc1s0qg1pwHQdDJIEkKHqap4jzqa0zFHeCenJBjF5ajk8oyuEhrbugzujffUtnRyutOGSYPsxAGCKFf9p4X3n/UXbh/zV0JshhqhOPCGV/s6oBPO8gZnCaKiwi1cPWs8AG/s9Cxnsaa5gzv/sI0Tje3kJ0ez5puLfBdAQU9yeaDvodcweD6Uy5zMBAD2ljf6tj+DsNkdHKh0BVEJhvXDcGmzICwaOpvUVPhZpAd4rSgJokJQc6Sq1ttZG1q1olwr8xqi8g3uibEiM9Qo3CTTiYBIkvWWYucoVFZiVP+VY9VfqErgpjCYft3wGrSEw4Kvq8dbf+Pb/SS7WnsqlZ8liAK4cb76f/O9fSdp7RzZzvRNbd2sePFzyurbyE6M4s/fOJ8JCSMv5zIiyc4FHIEeRNUPng/lMicrAYA9BgZRhbWn6eh2EB1uDt6tjbzBbIFMZymQsi1nfdv4OFcQFZhlDkI6iHrsscfQdX3MTOW5dMep2jiaq4JviHCtzOtKHJsr89ycBTcztVMUllcZ3BnvKR5szzzXSNKkL511umZA81eq6shV+9Vyal85uRd0O8SOh7jxZ33bgtxE8pKjOd1p4w+fDr+WW1uXja+t3s7hqhZSYiN49d6FpMb5oU6aa4XeqQAv7jrCkahjNadp6xpZEOstrnyomRPiPUv4DyXZzjzlQfKixicE9ibEIR1EjVXaODVSYz0dWrWiEk6rPbysY3VlnktUIqfDVJJvY2norNBz7ZnXb7sXXe8JombeOLJGoxJh7lfV462/HWUPB1GyWR2HyBsymTQe/pL6I+B3HxdR2zL0zghdNgfffHUXO0sbiLNaeOXeBWQn+Wk6O2WKOtYfB1sATx0PcyQqPd5KWlwEdofOQYPqRUk+VC/ZC9WxbOtZ35IR4AU3JYgKQVHjnWUOOkOnVlRXt51MWykASWN4ZZ5Lh7NOlqMmdPbQc49EnZlUXrlLjTSERcGUZSNveOE31fHIWmgoHWUvz6LkE3XMXTzkW6+ZNZ45mfG0OvewG0ynzc63/7SLj4/WYg0z8dI95zE13Y/17GLHQ3iMGmWrD+D0gGGORIHxeVH7KtR5jUxsDxiZ54FmUosXmgYu/THBuV3PicZ2dF9OyXtIgqgQlJw9DYA4vVktCw8B5RWlJGqncegaqXmzjO6O4cKdo3FxzUV0243f1NYbis9W3uDgm+o4ZRmEe5BDkjIZ8i4BdFXuwNtsnWqFEfTUvhmEyaTxg2Xq/9E/fV7GlqKBazB1dNv55qu7WPdFNeEWE7+761zm53i2os9jmtZrSi9AV4Pau6HROeo+xEgUGJsX1d5ld4+AzcsewbR0qIqIhXTn7/PygUej0uOtaBp0dDuobw280VAJokJQdnoKNXoCAKcrAzwhdJiqi/aooyUdzZMP0hATk6V+8RRQ7h7BCWYd3XZK69R1TEw7Yzrv2IfqOPVaz09w7j3quPsV7xffPLFLFdmMTulJxB7CBQVJXDt7PHaHzr2rt7OztL7P60eqWlj+m89Yf7gGa5iJP9x9LpdMTvFuv4cr2TmlF6hBVFO5GikzR6iRsyG4RqJcuUn+tLeiEZtDJy0uwr0h8piX1avUwQAiLGZSYlR5khMBOKUnQVQIio6wUGlSv0xOlZ996Wgw6ThxAID66IIh3jk2mFLVSMYkU4V7N/hgdvxUKw4d4iPD3L8wAWiqUMufNRMUXOr5CaZco4Kc09Vw9P3Rd7g3V8J67uIRbY3y1M1zWDwxmbYuO3f94XMeWbOXV7aU8NDre/jyrz7l0MlmEqPDeWnlAi6aZFAABYE/ElWnciVJzB9W6YtZzlyksvo2v49s7CxVMwPn5iQG5D5whnCt0HNt3j0A95RegwRRwk8arGqFXntVaIxEmZ2rg2yJUwzuSYBwJvxmaPUUlVca3JnRO1ajksonpcb0/XAp/EgdJ5w7slV5Z7KEw9w71OMdL3nezkBGkA/VmzXMzP+smM8F+Um0ddlZs7OCH719kDd3n6DL5uCyqam8v+oiLihI8m5/RyolwEeiXOUXkicO6+3xkWHuvLs95f5Nd9hRokYc5+XIVJ6bqyTIyb1nHSV2lfIIxJGooK9YLgbWEZsD7aAHcjLoCCS2OlfmTRi7lcr7iEygLSKVqM4aTlccAM4zukejUugMoiamnjGVV+icypt4xehPMv9u2PwMFK2HhhIYlzv6Nm2daqNjGFY+1Jmiwi28et9Cth2v4/0DVRTXtjInK57FE1M4Pz9ARit614oKxI2I65xBVNKkYX/L/OxxFNe2sr2kgcumpvmoY305HDq7yhoBOFeCqB6J+WCNV3s0Vh+AjHP6vaV3cnmgkZGoEGVKVtNekS0lxnbECzq6bGTb1aqqlPw5BvcmcNiSVb0o86ngn7ItrGkBzgii7DYodm5OOvHy0Z8kMR/yLwV02Ll69O0BVOxQGyKPIB/qTGaTxqKCZP7z+pm8et9CHrlyKhcUJAVGAAXOaTILdJ2G5gAc9XSPRA0/iDovTyXobz9eP8Q7vaeo9jRN7d1EhpndmyELVFDuGo1ybZ10hswEmc4TfhY9Xv1CH9cR/GUOSkqKiNfasKMxLnuM14jqJWrCDAAyukqpaQnMQnTDdazaOZ2X1msLkxM71JYQkeMG/OvUI+4E81e9k2Duyq/KXxJ4IzTeYg7rWfUWiEU365zbW41gJGqBc9/CfRVNdHTbfdGrfnY486HmZMUTZpaP3j7cQdTAeVEZATydJ3cyRCVnqcTjBL1JDZMGsdrivQBUmzPQwmRFi4slXQVRk7VyDp1sMbg3nuu2O9wbD0/qPRLlmsoruAxMZu+cbMrVEJMGrTVw+O+ja0vXe9qYes3o+xbIAnX7l84WaDmpHg8zJwogJymKlNgIuuwOv9WLciWVz5epvP6GGImS6Tzhd9kZqdTqahVKS5CXOeisdO6ZFzP8X5JjQpoKoqaayoN6hV5pXRs2h050uJnx8b22Mjm+SR3zR7Eq70zmMDjnTvV458uja+vUUagvAnO4d3K2AlmKM4iqDbCRKNcoVHTKiBYeaJrmHo3aXuKfKT1XUvm5/q71FQxcQVTtEejo/7vMlVje2NY94j0nfU2CqBAVFW7hhLPMQV2QlzkIqz8MgN2ZAyScUqaio5GsNVNRXmJ0bzzWOx/KnQfU1dYztD/CVW9DmrcC0KB4Q8/yeE8cfk8d8y5RRQNDmatWVO1hY/txplMjTyp3WeDMi/q8xPcr9E40tlNS14bZpHFuroxE9ROTCvHZgA4n9/R7OdYaRpxVrYMLtO1fJIgKYT1lDgJ0afIwJbWqFYZRsjKvr/Ao2mNzAOiqPGBwZzznyoeamNorEKnYDo5uiJvgnVV0vY3LhUlL1eNtv/O8nbEylQfgrEtGzSE1jRkoRljeoLfznCNRO0vqsfm46v/mwlMAzMmMJ9Ya5tNzBa0J89SxYsfAL49T+0VWSBAl/KUzNhcAR13wljloae8i26G2dEgtkJV5Z9KcU3rxzUf9liDrbYW1A5Q3KP1MHXMW+SZh+3znfnq7X4X2xpF/f3OlM39DU3lWoS55MqBBez201hrdmx4elDdwmZIeS6zVQmuX3ec5ha4g6sKJyT49T1BzBVEDjEQBTEhQU/2BtkJPgqgQZkrOByAqiMscHC8+RpzWjg0zcROmGd2dgGOdoLZ/mUyZe0Qn2LhX5vUJojarY84i35w0fwmkTIPuVhVIjdTBt9Qx81yI9U+dIUOFR/WMCNYEUHrAKWdO1AjKG7iYTZp7NOqzolPe7FUfuq6zuVDtjyhB1CDGO/9IPrl3wJcDteCmBFEhLGq8yiFK7CgzuCeeqy9xrsyzTFBVp0UfrpGoKUGaXG536BTVusobOIMoW6eazgPIudA3J9Y0OP8B9fjz34FjBKN4ug47/qAez77V+30LVK4pvUDJi3I4PCpv0NtFk1RQs+mY70bXjlaf5tTpTqxhJs7JTvDZeYJe+mx1bCiB9v55aoG69YsEUSEsNdc51aM3o7f5r6icN7lW5jXFyp55A0pzlTmo4FClf7ew8IaKhjY6bQ7CLSYynTkPVO5WBSyjkj0uYDkss2+FyERoLIP9fx3+9x3/WH14h8fAnNt8179Ak+Jc2BEoI1HNJ9TGzyYLjMvxqImLnZs6bz/eQFuXb1Z9uabyFuQlEWHxUqmOUBSVCAnO+1i1v9/LExLU7wcZiRJ+k52eTKWuhqsby78wuDeesTaoJdWOZJnKG9C4PGzmSKxaN/XlATJCMAKu7V4KUmIwm5y5T64NfX2VD+USFgmLvq0eb/gJ2Ia5Ge32F9Rxzm2hvyqvt0AbiXLt5TcuT5Wu8EB+cjQTEiLpsjvYVuybPzTd+VBG74EYDFxTepV7+r2U6RyJqmho82OHhiZBVAizhpmpNGcCUF8WnEFUcttxAKKzZGXegEwmuhPVaI2p5gscjgBaOTUMvTcedivboo6+yofqbeEDEJ0KjaWwaxhbwTSdgMNr1eNz7/Vt3wJNoK3Qc42IpXr+B5amae7RqI+Pen9Kr9NmZ2ux5EMN2yB5UdmJaiSqurkzoBbRSBAV4hqj1PBoR1WAFckbhrqWdnJ1tTIvrWCusZ0JYBHO5PJcRwnH61oN7s3I9JQ3cAZRDgeUO/Ohss/3fQfCo+GSf1WPN/0Muob47/fpz0G3q1yttDG2BVHSJNBM0NEIp6uN7k2vIGp09+ESZxC1yQdB1GdFdbR22UmPszJ9vOyXN6Txc9VxgCAqISqM2AhVKyqQRqMkiApxtgS1Qs9cX2hwT0autPgo0Von3ViISvdhbkyQM6WrUbqpWjkHTgTXFj+uQpvukahTR9V+eZZISPPT6OO8u1UuxulqeP//nv19FTthuzOhfMkP/NO3QBJmVZsRA9QEwMi2qw+jGIkCWDQxCbNJo/hUK+X13v1wXndQBZtfmp6GyRSieyt603hncnldodrSpxdN08hyjkaVefk+jYYEUSEuLE1VGo49XWJsRzzgXpkXlulxzsOY4PxLfEqQBVG6rrtzotwr8yo+V8cJ8/x3zy3hcN1zgKam9A680f89dhu8911Ah9m3Qd7F/ulboHEnlxucF+Vw9ORmjXIkKs4axjznqrkNR2pG2bEeDofOP7/oCaLEMMSkQmwGoENV/wLCrim9sjoJooSfJGSpXzAp3SdGtow7ANiq1Mq8ljjZM29QzhV6uaZqjpZXGdyZ4TvZ1EFrlx2LSSMnKVo9We4MojLP829n8pfARQ+rx++ugrJtPa/Zu2Ht99SKIWsCLP0v//YtkLiTyw1eoddYCt1tYI7oGR0bBVeQs3b/yVG35bK7vJFTpzuJjbBwfr4klQ9bxlx1HCgvKsk1EhU4K/QkiApxE3Im06mHEU43XXWlRndnRCIbVDViPUX2zBtUdDLdkakAdJ8MnuRyV1J5bnI0YWbnryJXEJW10P8dWvJDyL4AOpvhpatg3b+rTYr/eINzs2INlv03xKT4v2+BwjXqU23wdJ4rHyplMpgto27u6llqn9HPj9dT09Ix6vYA9yjUpVNTCbfIR+2wDZJcLtN5wu/SEqIoQ/2Vdao0ePZX03WdlHa1XU1c1myDexP4zOPVaFSWrSSgfsEM5lj1GflQ7Q1wyrkAwt8jUaA+jG//i5qu0x3w2S/h3e9C6acQHgtffQ3mjKHimgNJV4sYqPnC2JHtGjVKPdqpPJfMcVHMzUrAocMHB0Y/mqvrOusOqnaWzpCpvBEZxgo9SSwXfqNpGjUR2QA0VQRIkbxhqKhroYAKAFInzTe4N4HP5JzSm6qVsT9I8qLclcpdQVTFTnUcl2fcaI81Dr7yO7j5ZZi8TO2Ld86d8PWPYMoyY/oUSBLzVdJ/dxvUG7gnpxfKG5zp2tlqNOq9faOf0ttX0UTxqVYiLCb36j8xTK4gqvYwdPedtsvuNRKlB0KZDSSIGhPaYvMAsNccM7gnw1d6bB8RWjftWAlPHn3OQ8hzB1HlHKgMjiDKVd6gIPWMpPKsBQb1qJcZy+H2P6vRp+t/DSlTjO5RYDCZe0o7DFBV2m+8VN6gt2WuKb2SemqaRzel95cdqjTLspnpxFplUcyIxI6H6BRVSqT6YJ+XMhKsaBq0ddmpax1mcVwfkyBqDNATVWJ2RFORwT0ZvuaSPQBUR+aDSX5Mh+RaoWcq40BFo7F9GQZd1905Ue4aUUYllYuRcU3pVRuUHmDr6qlW7sWRqAkJkczLTkDX4d1RjEZ1dNt5Z28lADefm+Wt7o0dmtZrSm9Pn5ciLGbGx1mBwMmLkk+nMSAyw7kRcXvwJJZrzl/Q7Ymy3cuwpExB10wkaqepPlEaMEPdZ1PV3EFTezdmk6aCKIcDTuxSL0oQFdhc9buMGomqLwKHTe1dGO/dIGX5ORMA+N9tpR4v0PjgYBUtHTYmJERygazK88wgRTddyeXerunlKQmixoCUPJWYneSoQ29vNLYzw5TQov7SDM+QpPJhCYtET1SbNGd0FVMRYDudn+lwlUoqz0+OVpuy1hc5i2xa3VOTIkC5RqIGqOPjF64pntRpXt9bcfm8TGIiLBTXtrK56JRHbbim8m4+N1MKbHpqGMnlgVIrSoKoMSB3wnhOOjcibigL/BV6pztt5NjUnnnJE+cZ3Jvg4Uoun6KVB3xy+eGTKoia6toKo2KHOo6fI4VVA50ryG2phNY6/5/fNcWT7v0/sGIiLNw0X+03uvqzkhF//5GqFjYXqv8mN87L9GbXxhZXEFX9Rb+NwbMDrMyBBFFjgDXMTIVFrdCrP25gMugwFZaWkaGpHdXjc+YY3Jsg4kouN5UFfOXyI1XNAExNj1VPnHCuzJtwrkE9EsMWEatWUAJUG/D7pHKPOrqKMnrZXReo/UY/Olwz4imj59arxTvLZqa7p52EBxKyVWFbR3e/wq49BTcliBJ+1BStful1nAyAPa+GUHNM5cbUmtPBGm9wb4KIM4iaHgRlDlzTef2DKBl5DArprrwoP49s6zqc3Kceu/JmvKwgJYaLJiWj6/A/m4ZfxuFYdYu74vl3Lp/kk76NGX2Sy/tO6QVawU0JosYIe5LawDes/qjBPRla1wn1P01DnGw6PCLO6Y2J2gmOVJwK2OTyLpvDXSNqSnosdHf0JClnykhUUHBNpfl7hV7DcZU7Zw7v2cfPB761RK1o/tPnZRypahni3cpz6wvRdbhyRhrTXNPUwnOuIMo18uiU59wi6mRTB+1dxm9lJkHUGBE5QY1SjGs7bnBPhmatVxuL6qmSYDwi8ZnokeMI0+ykdhRT2eSd7Su8rfjUabrtOrERFiYkRKoPYkc3RCVBQo7R3RPD4UouHyDx16dc50uboTaO9pELCpK4akY6dofOf753cMg/SLaX1PPePlXWQEahvOQsI1HjosOJj1R5k2X1rf7uVT8SRI0RKXnqBzLVXg1dxv/gnY3DoZPWXghAXM5cYzsTbDQNzfmLZ6aphP0VgTml5/rLfkp6LJqm9SSVT5jv9dVWwkcyzlHH2sPQedp/53WNSoz3fa7kD6+eRrjFxObCOv4xyFYwzR3drPrzHnRdJZPPyJAUBK9w/YxVHwC7rc9LeclqNCoQVuhJEDVG5GZlcUpXQ8yNZQeHeLdxyk41Mwm1RDhlomz3MmLOaZYZWknAJpcfcq/Mk6TyoBWbDnET1B6D/hyNcp3LR/lQvWUnRfH1i1Qu6ffX7GVveWO/9+i6zo/eOsCJxnayEiN57DrvVVAf88blqT0rbR09xVWd8p1B1PE64wcEJIgaIyLDzZSZ1Qq9U8f3Gdybsys7dgCr1k0HEViSC4zuTvDpPRIVoEGUa2XelHRn3og7iJKgOai4Rgoqd/nnfLreU97ARyvzzvSdyyexeGIybV127nl5e58/TFo7bXz7td28vacSs0njmVvPkS1evMlkgvHO3LszAnXXSFSpjEQJf3Kt0GuvDNwVes2luwGojiyQ7V484QyipmplHKyoD8jkctfKvGnpsdBWrwptgqzMCzau++UKgn2tqRzaG8AU5tU98wYTYTHz/F3zmTUhnvrWLq795afc+/J2vveXvVz5zCb+vu8kFpPGT5fPZH7OOL/0aUw5S15UrgRRwgjdiWq1myWAV+hpzmrEHYm+W3kT0hIL0MOiidS6SGgvpbw+sCqXN7R2cdKZ8D45PbZnFCMxH6ISDeyZGDHXyOEJP41EufKhUqeBJcI/50QV4Hz5nvO4elY6mqbqR72xq4KKhnZSYyN4/f7zufW8bL/1Z0w5SxDVkxNl/HSexegOCP+xZkyHUkg4HbgbEcc7t3sJmyDbvXjEZEJLnwXlW5mplbCnotFdnC4QHKxUU3k5SVHEWcOgQvKhgpYrL6mxFFpPQXSyb89X4dyg2oARy6SYCH5zx3yKak/zxs4KrGFmJqbGcOHEZPdKMeEDriCqap/aX9M5O+EKourbuo3qmZuMRI0hSflzAUizn4Qu44dBz9TU3k2eXZVgSC2Q/BiPOfMIZphK2FPWaGxfznCwUuWUzMiQfKigF5kASaqeEpW7fX++sm3qmHW+7891FgUpMfzrVVP5zuWTuHrWeAmgfC1pElgioes01PcUPo2OsJAa67/RyMGERBBVV1fHCy+8wPLly5k4cSKRkZHEx8ezePFi/vCHP+BwOIzuYkDIz8njlB6HCZ2G0sBLLi8srWCCpvadipHtXjzXa4Xe3opGY/tyBtdI1IyMeJUo7AqipMhmcHJP6fk4L6q7oyepPHuhb88lAofZ0lMd33X/nVyjUUYLiSBqzZo1fP3rX2fr1q0sXLiQVatWceONN3LgwAHuu+8+br755oBMsPW3yHAzJRaVXF5b5Kc8hhGoLVS/iE+Z02S7l9FwDoHPMJVw4EQj3fbA+SPiQO+RqMZSaDulEoXTZhrcM+GRDD8ll1fuBnsXRKf27Nsnxoaz5EXlpwRGEBUSOVGTJ0/mrbfe4tprr8VsNruf/+lPf8qCBQv429/+xhtvvMFNN91kYC8DQ1PsJGjcS2dF4G1E3HVCjY41xk3Gx9kVoS1lKropjHhHGyn2ao5UtTBzgvFBaWunjeOnVCLojIx4KP1EvZA+E8KsBvZMeMw1glixvU/OiteVb1XH7IVSkHWsGSK53GghMRJ12WWXcf311/cJoADS09N54IEHANi4caMBPQs8DudWKtb6Q0O80/96tnuRUYlRsYSjpU4DYKZWwu4BigQa4XBVM7oOqbERpMRGSFJ5KBg/B8KiVOmBWh/+TgmAfChhkN5BVK8ZpdwkCaL8Ijxc7a8UFiYJgACx2c7tX9qL+vxAGs1md5De4dzuJVfyoUat15ReoCSXHzih8qHco2KSVB78zGGQtUA9Lv3MN+dwOHqNREkQNeakTFNT/h2N0FjmfjpQpvNCOoiy2WysXr0agKuuusrg3gSGzMlzsesa8Xoz3U0nje6OW2F1Y6/tXmRkYtRcQZRWwp7yBoM7o/RZmWfv7hmelyAquOUsVsfSzb5pv+6YGumyRLoXTYgxxBIOac7iqr2m9LITo7GYjJ/aDekg6gc/+AEHDhxg2bJlXHnllYO+t7m5uc9XZ2enn3rpXxNSEiklA4CqY4GTXF56eDeRWhdtWhSmJNnuZdR6bf9SVNtKY1uXwR3qvTIvDqr2g60drAk9y+RFcMpZpI6ln/lmdLvMOQo1Yb76QBVjj3tKb4/7qXCLiZwAqIEXskHUM888w9NPP82UKVP44x//OOT7s7KyiI+Pd389/vjjfuil/2maRpU1H4CmEj/Udhmm1pIdANRGT5btXrwhbQagkao1kkIDu8qMHY3qsjk4Wq22e5mREa8SkQEyz5P7HewmzAdzBJyuhjofFPIt3qCOrmBNjD1nSS4vCIApvZBYnXemZ599loceeohp06axfv16kpOHXutVXl5OXFyc+98REYFRyMsX2sZNgapPwLnFSiCIqFWrBbvTJB/KK8KjIXkSnDrKDFMJO0sbuGxqmmHdOVzVTLddJyEqjMxxkVDurD7tyqcRwSvMqlbplW5WX8leHFl02KHIGURNvNx77Yrg4qqOX7lHjXY6V2gWpMQa1iWXkPsT8KmnnmLVqlXMnDmTjRs3kp6ePqzvi4uL6/MVykGUZfwsAGKbAmMPPZvdQUabWpkXlyf5UF7jzosqZUeJsSNRe5wrBOdkJqBpWq+RKLnfIaH3lJ43Ve5RCcUR8bKKcyxLmwGaWdWVa+nJ5S1INX4kKqSCqMcff5xHHnmEuXPnsmHDBlJTU43uUkBKKjgHgPHdpWAzPlemsLqRqZQCkDxZqhF7TXrP9i97K4wtuukOorIS4HSNKrSJJh+MoSLnQnUs+cS7eVFFH6lj/sWqerUYm8IiIWWKetxrSm9iaoxBHeoRMkHUj3/8Y374wx8yf/58Pvroo2FN4Y1VeROn06RHEY6NhjLjt38pObyHSK2Ldi0SU/Iko7sTOpwjUXPMx+nodvCFM7HbCHudQdTcrPieqbzUaWCNO/s3ieCRfb5aPdd8wrtpAoXOIKpApvLGvAHyorITjR+JConQfvXq1fzHf/wHZrOZiy66iOeee67fe3Jzc1m5cqX/OxeAYqxh7LJMZJ59H9WHtzEu39jRgDZ3UvkUsiXJ2Hucv3QmUEsizewsbVAjQX7W3NFNUa2qVD4nMwG29EoqF6EhLBLyL4Gj76uvdC8UzO1o6pn2lXwoMX4O7H2tTxAVbjH+8yIkgqjjx48DYLfbeeaZZwZ8zyWXXCJBVC8N8dOhfh9d5cav0At3J5VLDRivikxQu6DXHWOOqYidpVP42mL/7zu2v0LVh8pKjCQpJqLvyjwROiZfqQKoY+vg4u+Pvr3ij0G3q5/hhOzRtyeCmzu53PjPrN6MD+O84LHHHkPX9UG/ZNuXvjTnKEVM/QFD+9HdK6k8RpLKvc+ZuD3XVMSO0npDNuLunVSOvRtOOOuTycq80DLJWYuv/HNorRt9e0f+oY4yCiUAxs8GzaQSy5srje6NW0gEUWLkEiepUYAJnUVgtxnWjyOVDe6k8pRJklTudc5q4OeYCqlu7qSsvs3vXdjjzodKgOoDziKb8WqEQYSO+AmQPgvQofCfo2vL1gmH31OPp18/6q6JEBAeDanOyuUnAqdQtARRY1TBlNm06JFE0EVjmXGjUSVf7CBK61SVylMmG9aPkOUMouaZiwGdrcVeGCEYAV3X+wZRFSr/TYpshijXaNTR90fXTuGH0NkMsRmy6bDokaFWlrv33QwA8ltsjIqNjKDYrCqXnzy81bB+tJeo3dlr42bKh6ovpM0EcwQx+mlytSq2Ftf79fQnmzqobenEbNJUpXLXyjzJhwpNk517lB77ELrbPW/nwBvqOPMr8ntB9HDts1kpI1EiANTHTwMwNLk8tladW5eii75hCVe5BMBcrYitxXV+zYvaXqKCthkZcUSGm6FCgqiQNmE+xGdDVwsc/rtnbXS19uRDzfyK9/omgp8riDqxGxzG1b3rTYKoscy52iHaoOTyhtYuCrqOAJA85UJD+jAmOAtazjMXcbKpw695UZ8fV0HUebmJcLoWGkoATSqVhyqTCeZ+VT3e/apnbRz9ALrbYFwuZMzzWtdECEidBhYrdDZBfbHRvQEkiBrTxhWo0YCMjkK1R5WfHSguY5LpBAAxBZL34DPOgOUCawmAX/OiXEHUgrzEntIGKVNUYrkITXNvV8fijdBYPvLv37VaHWd8xb1HmhAAmMN6im4GSF6UBFFjWMG0uZzWrUTRQX2J/yuX1xxS+2ydCpsA0VJh3mecQ+D5tiIi6PJbXlRDaxfHak4DzpEomcobG8blQu5FgA57/zyy763ar4IvzQTzV3q/byL4uUYnJYgSRouNsnLMolbEnTy4yf8dOKFGJlqS5/j/3GPJuFyITsWs25itFbOlyD95Ua58qImpMSRGh0O5cyRK6kOFvrl3qOOeV0c2yr3lN+o4/XoYl+P9fong586LkiBKBICGpLkA2Eu3+fW8DodOSpOqVB6RK/WhfErT1N5mwELLMaqaO9zbsPhSn3wou61nRU2mBFEhb/p1YE1QOXD7/zq872k+CfvXqMcXPOirnolgl+kMoqr2QXeHsX1BgqgxLyxHfaAlNvh3Oq+wpoVZ+jEAUqcv9uu5x6TsCwC4PLoIgE1Ha31+StdI1IK8cVC1VyULWxMgWeqBhbzwaLjwu+rxxp+CrWvo79n6a3B0q59V1welEGcalwfRKWDvgipjd9wACaLGvMxZl6ijvZyuFv8lHB86sItx2mm6CMcyXvbM8znnSNR02yE0HHzs4yCqtdPGgcpmABbkJUHJZvVCziKp+zNWLLwfYtLUaNTuPw7+3qoDsPW36vHih3zeNRHENA2ynLMXJ3YY2xckiBrzcrOyKGU8ABX7/ZcX1XZMnas6fpaqZSR8K302hEUTYWthknaCbcfr6Oj23YrMz0vqsTt0JiREMiEhEkpdQZSUshgzwqPh4kfU44//G1pPDfw+uw3e+TY4bDDty2ojYyEG48qrrJAgShhM0zRORM8AoOnYZ345p67rJNQ6k4xzFvnlnGOe2eKeIrksqoiObod7us0XXNOFF01KVonFpVvUC3K/x5Z5d0PSRDhdDX++Q+2Jd6ZPnoLK3arsxdVP+b+PIvjISJQIJF3jVR0ha7V/SumX1bUyx67mstNmXuaXcwrceVFfiikB4OMjvpvScwVRF09OUZsOdzZBeKwaERNjhyUcbnsNIuKhfCu8+QB0NKnXHA744N9g4+Pq30t/ArHpxvVVBI/xc8EUBm1nGd30IwmiBAmT1RRLVtsXfimlv/+LA2Ro9dgwEy4r8/zHmRc1rfsgAJuO+SaIOtHYTlFtKyYNLixI7smHyj5fjYiJsSVlMtyyGjQzHPwb/GIWvH4n/PIc2PIr9Z4rHoNz7jS0myKIhFkhY67RvQAkiBLApFkLOK1biaGNmiLfj0adPrIRgOqY6SpvQvhH5nmgmYlqO0GmVsvR6tNUNHh/CxjXKNTcrATio8J68qFyJR9qzCq4FL76Z0iZqkYlD72rEs4tVvjKCyqZXKqTi5HICow/wCWIEkRHWjkSrvKiKves8/n5YqtU5Wp71gU+P5foJSIWJqhqv3eklgDwwcFqr5+mz1Sew9ErqVxKWYxpk5fCN7eo6b0r/h/c8QZ87zDMvtnonolgJEGUCCQt41VAYyn9xKfnqWxsZ3q3yodKnnmpT88lBpCnSlosjVQbP79/4KRXm7fZHXxaqPIULp6cAjUHob0BwqIDZvhdGMhkgqlXw+JVMOkKiBxndI9EsJIgSgSShOmXA5Bzeg+63eaz8+zcf5A8UzUONKIKZHrH7/JVEJXbvAPQ2VHaQE2L96r+7ilvpKXDRpzVwuwJ8VC0Xr2Qu1htHiqEEN4QmwaJE43uhQRRQpkydzHNehSxtFF5+HOfnafxwAcA1MRMU0uahX9lLgCLFXNbDdeOb0HXYZ0Xp/TW7q8C4NKpqVjMpp4gqkBWYQohvCzH+JQQCaIEAJHWcI5aZwFQvc83eVF2h05K9acAOAou98k5xBDCrO5VercmFQPwwcEqrzTtcOj8wzk9eM2s8dDV1lMfSoIoIYS3BUDdOQmihFtbhvqBjCj3TdHNfWV1nK/vBSD1nKt9cg4xDM68qHl2dS+2FNXR0DqMvc2GsLu8kZNNHcREWFQ+VNlnYO+EuExInjTq9oUQoo9sCaJEAEmceQUAeW17cXSP/kP1TEd2f0KC1kqbKRqLq2y/8D9nXlR05VZmjY/G5tB5e8+JUTe7dr8ahbp8WirWMDMUbVAvTLxMlq8LIbwvOsnoHkgQJXpMnn0+DXosUXRQsnej909Q+CEAp1IXSdFFI42fC9YE6GziWxPV1i+v76hA13WPm3Q4dHcQdc0stRcjhR+po0zlCSFClARRwi08zMKRWLVstH73215tu6m9m8kt2wCInbHUq22LETKZYdKXALhM20W4xcShk80cONHscZO7yxv6TuU1V0LtIUBzTx8KIUSokSBK9OGYfBUAaSc3erXdT/cdY45WCMC4Wcu82rbwgPM+RxSv46oZar+yP28v87i5/92mvvfKGelqKu/IWvVC5rkQlTi6vgohRICSIEr0MfXCG+jWzWQ5Kqg+ftBr7VbvfBuzpnMqMg8SsrzWrvDQxCvAZIFTR7h7qtov8Z09lbR32UfcVN3pTt7bq6byVlyQo5489J46Tr3WK90VQohAJEGU6CMxKYVDEarUQdnWN7zSZmunjZyqfwLgmHadV9oUoxSZANmqxso57VvJToyipdPGX3aUj7ipP28vp8vuYE5WAnOyEqC9EUqcle+nfdlrXRZCiEAjQZTopyVbrdKLLvnQK+19cqCYxdo+AFIW3OKVNoUXTFHTqqZj7/ONi/MB+O3GIjptwx+Nstkd/O/WUgBWnO8chTq2Dhw2tdlsUoF3+yyEEAFEgijRT9b5XwFgcsd+mhtrR93eye1vEaF1U2fNQUubMer2hJc486Io/YybZ8aSHmelqrmDNTsqht3E2gNVVDZ1kBgdzjWznavyDr2rjjKVJ4QIcRJEiX6yJ87guCkHi+bg6PpXR9VWR7edrJOqArpt6pelXlAgSSqA1OngsBFx9O98c4kaNfrtxiK6bI4hv72j286T/zgMwN0X5KqE8u52dykLpkkQJYQIbRJEiQGdzFG5S9GH1oyqnY/2FnMRewBIXXjraLslvG3Wzeq473VuPS+L1NgITjS285uNhUN+6wufFHOisZ3x8Vb3dCDH1kF3m6pSPn6u7/othBABQIIoMaCJV9yLXdeY1n2QiiLPV+mVffonIrRuGqzZaOmzvNhD4RWuIKrkU6xtJ/m3a6YB8Mv1hewtbzzrt51saufXG4oA+MGyqUSGm9ULu/9XHWffLKOOQoiQJ0GUGFDqhDy+iJwHQNmGFz1qo7DmNBfUvwWAef5d8qEaiBKyIGcxoMP+v3L93Al8eU4GdofOQ6/v4XSnrd+3tHR0c9/qHbR325mfM47r5mQ4X6iCQrUKk7l3+u8ahBDCIBJEibPqnnUbALkV72C3j7x+0IYN65hrKqabMOIWfc3b3RPeMtu5YnLfXwD48fUzSIuLoPhUKzf99jMqGtrcb23rsvGNP+7kYGUzSdHhPHXzHDRXcLz3z6A7IGshJE/091UIIYTfSRAlzmrGZV/lNJFkUMPuj98a0fd2dNtJOvQKAHU5V0F0sg96KLxi+vVgDoeag1C5m4SocH6/4lxSYiM4XNXCl3/5KY+s2cv/e/cgi55Yz5biOmIiLLx8zwLykqNVG7oOu52LEObeYdy1CCGEH0kQJc4qIjKWI2lqhVXYZ8+MaIPat7Z+wTL9UwBSLv2WT/onvCQyQQVSAFt+A8DszATe/pcLmZERR0NbN2t2VvDS5hIa27rJTozixZXnMSszvqeN8m1QdwwskTBjuf+vQQghDCBBlBhU/vX/l27dzBzbPnZ+8o9hfU9rp43m9c8RqXXREDMRc84FPu6lGLULvq2OB96AJlUnKiMhkr99axH/c9d8HrxsIjfNz+R3d81nw/eXsCDvjP3wPv2FOs66Eaxxfuy4EEIYR4IoMahxGQUcTHXW+/nk6WGNRv15/XbudLwNQMyV/y4J5cEgYy7kXQy6Hbb+1v10hMXM0hnpfG/pFJ66eQ5XzkjHbDrjfp7cB0ffB80EFz7k334LIYSBJIgSQ8q5/ofYdY1zu3fwyfq/D/reutOdxG39GVFaJ/WJcwmbeYN/OilGb9F31HHnarX/3XB98rQ6zlguCeVCiDFFgigxpHGZUzmcrkajcjZ9j9LKmgHfZ3fo/PyVN/gK6wFIuO4JGYUKJhOvgJRp0NUCHz85vO+pOQxfqFFHLvqe7/omhBABSIIoMSxT7nqOU6YUcrQqDq/+9oCb1P7q3c18s+pHmDWdprxlmHIlFyqoaBpc+V/q8bbnoXLP4O932OGdBwFd7ZMn+yIKIcYYCaLEsFhiEtG+8jwONK7s/IDXn/4uhdXNADS1d/OTN3eweOcqMrVTnI7OIf7m3xjcY+GRiVfAjK+oek/vPaQCpbP57JdQ8TmEx8JVT/ivj0IIESBCKoiqqKjga1/7GhkZGURERJCbm8uqVatoaGgwumshIWnmFZyYrVZxrWh/hRO/vpbHf/pv/PbJ73PfnhuZbzpGhyWOmHv+BlGJQ7QmAtZVj0NEHFTugrWPqBpQZzqxEzb8RD1e9oSqfC6EEGOMpo+k+E8AKyoqYtGiRdTU1HD99dczdepUPv/8czZs2MCUKVPYvHkzSUlJ/b6vubmZ+Ph4mpqaiIuTpdlD0nWatrxE5D//D+F6V5+X2mOyiLzlBcg+36DOCa/Z/1d44z5Ah/Pug6ueBLNFvXbkH/DXr6mNhidfBV/9s+S+CSH8LhA+v0MmiLryyitZt24dzz33HA8++KD7+Ycffphf/OIX3H///Tz//PP9vi8QbkIw0qsO0PLJ8+iNpZi7TmM952YsC+4FS4TRXRPesvt/4e1/AXSISVMB06ljULZFPVdwGdy8WupCCSEMEQif3yERRBUVFTFx4kTy8vIoLCzEZOqZpWxpaWH8+PE4HA5qamqIiYnp872BcBOECFj7/gLv/wDa6vo+P/8euPpnYA4zpl9CiDEvED6/LYac1cs2bNgAwNKlS/sEUACxsbFceOGFrFu3jm3btnH55Zcb0UUhgtPsW2D6DaqYZtlWSJ0KORdCUoHRPRNCCMOFRGL5kSNHAJg0adKAr7ueP3r06FnbaG5u7vPV2dnp/Y4KEYws4TD9OrjqpzBvhQRQQgjhFBJBVFNTEwDx8fEDvu56vrGx8axtZGVlER8f7/56/PHHvd5PIYQQQoSOkJjOG4or7UsbZAVReXl5nznViAhJkBZCCCHE2YVEEOUaaXKNSJ2pubm5z/sGEhcXJ4nlQgghhBi2kJjOmzJlCnD2nKdjx44BMHnyZL/1SQghhBChLSSCqEsvvRSAdevW4XA4+rzW0tLC5s2biYyM5PzzpQikEEIIIbwjJIKogoICli5dSklJCb/+9a/7vPboo4/S2trKihUriI6ONqiHQgghhAg1IVFsE/pv+zJt2jS2bdvGhg0bmDx5Mp999pls+yKEEEKEiED4/A6JkShQo1E7duxg5cqVbNu2jaeffpqioiK+853vsGXLlgEDKCGEEEIIT4XMSJSnAiGSFUIIIcTIBMLnd8iMRAkhhBBC+JMEUUIIIYQQHpAgSgghhBDCA2M+iHJtNDzWNhzu7Ozksccek+seI+S65brHArnusXfdvY9GGPOJ5RUVFWRlZVFeXk5mZqbR3fGbQEjIM4Jct1z3WCDXLdc9FgTC5/eYH4kSQgghhPCEBFFCCCGEEB6wGN0Bo7lmM1taWmhubja4N/7jutaxdM0g1y3XPTbIdct1jwUtLS1Az+e4EcZ8TlRxcTEFBQVGd0MIIYQQHigqKiI/P9+Qc4/5IMrhcFBZWUlsbCyaphndHSGEEEIMg67rtLS0kJGRgclkTHbSmA+ihBBCCCE8IYnlQgghhBAekCBKCCGEEMIDEkQJIYQQQngg5IKod955hyuuuILMzEwiIyPJz8/n5ptvZsuWLSNqp6Kigq997WtkZGQQERFBbm4uq1atoqGhwUc9Hx1vXHdubi6apg34lZ6e7sPee0bXdV588UXOP/98YmNjiYqK4pxzzuG5557DbrePqK1gut/euu5Avd9//etfefDBB7nooouIi4tD0zTuvPPOQb/ns88+4+qrryYxMZGoqChmz57NM888M+KfA2+3NRJGXXdJSclZfw40TeO2224b7aUNaiTX3d3dzbPPPss999zD3LlzCQ8PR9M0XnjhBY/PHwz325vXHUz3+9ixYzz55JNcdtllZGVlER4eTlpaGtdddx0bNmzw6Pzevt8hVSfq+9//Pk8//TRJSUnccMMNJCcnU1hYyNtvv80bb7zByy+/zIoVK4Zsp6ioiEWLFlFTU8P111/P1KlT+fzzz3n22Wd5//332bx5M0lJSX64ouHx1nUDxMfHs2rVqn7Px8TEeLnXo7dixQpeffVVUlNTufXWW4mOjubDDz/ku9/9Lps2bWLNmjXDWnEZbPfbW9cNgXm//+u//ou9e/cSExNDZmYmhw8fHvT9b7/9NjfeeCNWq5Vbb72VxMRE3n33XR566CE2b97MmjVrhn1ub7Y1UkZeN8CcOXO44YYb+j0/c+bMEbUzUiO57tbWVvfPa1paGunp6ZSXl3t87mC5396+bgiO+/2jH/2I119/nWnTprkDnyNHjvDOO+/w7rvv8swzz/Dd73532Of2yf3WQ8TJkyd1k8mkp6Wl6dXV1X1eW79+vQ7oubm5w2pr6dKlOqA/99xzfZ5/6KGHdEC///77vdbv0fLmdefk5Og5OTk+6KX3vfnmmzqg5+Xl6bW1te7nu7q69BtuuEEH9JdeemlYbQXT/fbmdQfq/V6/fr1+9OhR3eFw6Bs2bNAB/Y477hjwvU1NTXpycrIeHh6ub9++3f18e3u7fsEFF+iA/tprrw3rvN5syxNGXffx48d1QL/77ru9cRkjNpLr7uzs1NeuXatXVlbquq7rjz76qA7ov//970d83mC639687mC63y+++KK+Y8eOfs9v3LhRDwsL08PCwtz/TYbiq/sdMkHU1q1bdUC/7rrrBnw9NjZWj4mJGbKdwsJC94eU3W7v81pzc7MeHR2tR0ZG6i0tLV7p92h567p1PXA/VAdy11136YD+q1/9qt9r+/fv1wF93rx5Q7YTbPfbW9et68Fxv4f6JfvCCy+c9QPho48+0gH9oosuGta5vNnWaPnzuo3+UO1tqOs+02iCiWC632cK5iCqt5Fed29f+tKXdEBfs2bNsN7vq/sdMtN5kyZNIiIigm3btlFTU0Nqaqr7tQ0bNtDS0sLy5cuHbMc1z7p06dJ+xbtiY2O58MILWbduHdu2bePyyy/37kV4wFvX7dLZ2cmrr75KWVkZ0dHRzJ49m4svvhiz2eyL7nusqqoKYMAqta7ndu3aRUNDA+PGjTtrO8F2v7113S7Bcr/PxnX/rrrqqn6vXXzxxURFRbFlyxY6OzuJiIjwW1u+5ou+VlZW8rvf/Y66ujqSkpK44IILmD17tlf7HUiC6X77QrDf7/DwcADCwsKG9X5f3e+QCaISExP52c9+xqpVq5g+fTrLly935wa98847LF26lOeff37Ido4cOQKo4GQgkyZNYt26dRw9ejQgPlS9dd0uVVVV3HXXXX2ey8vL46WXXuKSSy7xdvc9lpycDMDx48f7vVZcXOx+fOTIEc4///yzthNs99tb1+0SLPf7bAa7fxaLhby8PA4ePEhxcTHTpk3zW1u+5ou+/vOf/+Sf//xnn+eWLFnC6tWryc7OHn2nA0ww3W9fCOb7XVpayocffkhUVBQXX3zxsL7HV/c7pFbnPfjgg7z55ps4HA5eeOEFnnjiCf7617+SnZ3N3Xff3WeU5myampoAlXA7ENfzjY2NXuv3aHnjugHuuecePvroI6qqqmhtbWX//v3cf//9lJSUsGzZMvbu3evjKxm+a6+9FoCf//zn1NfXu5+32Ww8+uij7n8Ptbou2O63t64bgut+n403718w/Sx4s69RUVH86Ec/YufOnTQ0NNDQ0MDHH3/MpZdeysaNG7n88stpbW31Wt8DRTDdb28K9vvd2dnJHXfcQWdnJ48++uiwRtzBd/c7pIKoxx9/nOXLl7Ny5UqKiopobW1l586d5Ofnc8cdd/Cv//qvoz6H7twlJ5D22fPWdT/66KNcdtllpKWlERUVxcyZM3n++ed5+OGHaW9v57HHHvPthYzAbbfdxrJlyygqKmL69Ol84xvfYNWqVcydO5e1a9e6/9oY7bRUoN1vb153MN1vT3nz/gXaz8JgRtLX1NRU/vM//5N58+aRkJBAQkICF198MevWrWPhwoUUFhaOqoRAsAqm+z0SwXy/bTYbd9xxB5s3b+amm27ikUce8Vrbnt7vkAmi1q9fzw9/+EOuv/56fv7zn5Ofn09UVBTz5s3jzTffZMKECTz99NMUFRUN2o4rGnVFrWdqbm7u8z6jeeu6B/PAAw8AsGnTJm91e9RMJhPvvPMOTz31FOnp6bzyyiu8+OKLZGZm8umnn7pLEgw1Chds99tb1z2YQLzfZ+PN+xdMPwv+6KvFYuG+++4DguNnYaSC6X77Q6Dfb5vNxu23384bb7zBzTffzGuvvTaigMdX9ztkgqi///3vAFx66aX9XouKimLBggU4HA527949aDtTpkwB4OjRowO+fuzYMQAmT548mu56jbeuezCuD+RAG+K1WCx873vfY8+ePbS3t9Pc3Mz777/P9OnT2bNnD5GRkcyYMWPQNoLtfoN3rnswgXq/BzLY/bPZbBw/fhyLxTJgIr4v2/I1f/U1mH4WRiqY7re/BOr97u7u5pZbbmHNmjXcfvvtvPbaa1gsI0vp9tX9DpkgqqurC4Da2toBX3c9P1TWvSsYWbduHQ6Ho89rLS0tbN68mcjIyGEl7fqDt657MNu2bQMGXhEWiF555RU6Ojq45ZZbhly5EWz3ezAjue7BBNP9vuyyywB4//33+722adMm2traWLRo0bB+/r3Zlq/5q6/B9LMwUsF0v/0lEO93V1cXN954I2+++SYrVqzglVde8ShNw2f3e8RFEQLU66+/rgN6WlqaXlFR0ee1tWvX6pqm6VarVT916pSu66o44aFDh/TCwsJ+bQVT8UVvXfeBAwf0urq6fu2XlZXpkydP1gH9Jz/5ie8uxANNTU39nvv888/1cePG6TExMXpRUZH7+VC537runesOlvvti6KTjY2N+qFDh/oV6TO6+GJv/rzurVu36p2dnf3OsXHjRt1qteqAvnnzZi9c1dB8US8pFO73mUZz3cF0vzs6OvSrr75aB/R77723Xy2/gfj7fmu67symCnIOh4Mrr7ySDz/8kNjYWJYvX056ejqHDh3ivffeQ9f1PiXiS0pKyMvLIycnh5KSkj5tnbkNyLRp09i2bRsbNmxg8uTJfPbZZwGzDYi3rvuxxx7jiSee4NJLLyUvL4/Y2FiKi4t577336Ojo4Oqrr+bNN9901+YIBAsXLnQnRMfExHDw4EHWrl1LREQEf/vb37jyyivd7w2V+w3eue5Avt9vvfUWb731FqBKMHzwwQfk5+dz0UUXAarMw1NPPdXn/TfddBNWq5XbbruNxMRE3nnnHY4cOcJNN93EX/7ylz65Ey+//DL33HMPd999Ny+//HK/c4+krVC47iVLlnDw4EGWLFlCZmYmAPv37+ejjz4C4Mc//jH//u//7pNr9uS6n3jiCfdWIXv27GHv3r0sWrTIvahi8eLF7tyewa7bde5gud/euu5gut/33HMPL7/8MsnJyXzrW98a8F4sWbKEJUuWuP/t9/s94rArgHV1dem/+MUv9IULF+qxsbG62WzWU1JS9GuuuUb/4IMP+rzXVbX1bBWby8rK9JUrV+rp6el6WFiYnp2drX/nO98Z8K93o3njujdu3Kjfdttt+pQpU/T4+HjdYrHoycnJ+hVXXKGvXr1adzgcfryi4fnv//5vfd68eXp8fLweHh6u5+bm6vfff79+/Pjxfu8NpfvtjesO5Pvt+iv7bF8D3cNPP/1UX7ZsmZ6QkKBbrVZ95syZ+s9//nPdZrP1e+9LL700aMXmkbTlTUZd9wsvvKBfc801ek5Ojh4dHa2Hh4frWVlZ+i233KJv2rTJR1fbY6TXfckllwz6/jOvL1Tut7euO5ju91DXDOiPPvrosK7bxdv3O2RGooQQQggh/ClkEsuFEEIIIfxJgighhBBCCA9IECWEEEII4QEJooQQQgghPCBBlBBCCCGEBySIEkIIIYTwgARRQgghhBAekCBKCCGEEMIDEkQJIYQQQnhAgighREjRNK3PV1VVlUftXHvttX3aOXMfLiGEsBjdASGEOJNr4+SBNhEdjpycHFauXAlATEyMR324/fbbOffcc9mzZw9vv/22R20IIUKbBFFCiJCTm5vLY489Nqo2br/9dkDtCi9BlBBiIDKdJ4QQQgjhAQmihBAB5bHHHiMvLw+A1atXez0v6c033+TSSy8lPT2diIgI0tPTWbx4Mb/+9a9H3bYQYmyR6TwhREBZsmQJjY2NPPvss8yZM4cbbrjB/drcuXNH1fZvf/tbvvWtb5Gens51111HcnIyNTU17Nu3j5dffpl/+Zd/GV3nhRBjigRRQoiAsmTJEnJzc3n22WeZO3fuqHObevv9739PeHg4e/fuJTU1tc9rp06d8tp5hBBjg0znCSHGDE3TsFgshIWF9XstOTnZgB4JIYKZBFFCiDHjjjvuoK2tjRkzZvDwww/z1ltvUVtba3S3hBBBSoIoIcSY8fDDD7N69Wqys7N59tlnWb58OWlpaVx++eXs2rXL6O4JIYKMBFFCiDFlxYoVbN26lbq6Ov7+979z7733snHjRpYuXSqjUkKIEZEgSggRcMxmMwB2u91n50hISODqq6/m97//PStXrqSuro5PPvnEZ+cTQoQeCaKEEAFn3LhxaJpGeXm5V9t9//33sdls/Z6vqakBwGq1evV8QojQJiUOhBABJyYmhoULF7Jp0ybuvPNOJk2ahNls5rrrrmP27Nket3vbbbdhtVpZvHgxubm56LrOJ598wvbt25k3bx5XXHGFF69CCBHqJIgSQgSkV155hYceeoh//OMf/OlPf0LXdTIzM0cVRD3xxBN88MEH7Nq1i7Vr12K1WsnJyeHJJ5/km9/8JuHh4V68AiFEqJMgSggRkCZOnMi7777r1TYfeOABHnjgAa+2KYQYuyQnSggRcj7++GP3fntVVVUetXHttdeiaRr33HOPl3snhAgVMhIlhAgpjz76aJ9/x8TEeNTO7bffzrnnnuv+92j37RNChB5N13Xd6E4IIYQQQgQbmc4TQgghhPCABFFCCCGEEB6QIEoIIYQQwgMSRAkhhBBCeECCKCGEEEIID0gQJYQQQgjhAQmihBBCCCE8IEGUEEIIIYQHJIgSQgghhPDA/wdu0HoevOIKlAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scene = canvas() # This is needed in Jupyter notebook and lab to make programs easily rerunnable\n", "\n", "eps = 1.e-10\n", "theta1_0 = np.pi / 2.\n", "theta2_0 = np.pi / 2.\n", "omega1_0 = 0.\n", "omega2_0 = 0.\n", "x0 = np.array([theta1_0, theta2_0,omega1_0,omega2_0])\n", "deltheta = 1.e-4\n", "x02 = np.array([theta1_0 + deltheta, theta2_0 + deltheta,omega1_0,omega2_0])\n", "\n", "\n", "t0 = 0.\n", "tend = 20. # s\n", "cx = x0\n", "cx2 = x02\n", "\n", "ts = [t0]\n", "energies = [[kinetic_energy(x0)], [potential_energy(x0)], [kinetic_energy(x0) + potential_energy(x0)]]\n", "kinetic_energies = [ [kinetic_energy(x0)], [kinetic_energy(x02)] ]\n", "\n", "s1 = sphere(pos=calcpos1(x0),radius=0.04,color=color.red, make_trail=True, retain=5)\n", "rod1 = cylinder(pos=vector(0,0,0), axis=calcpos1(x0), radius=0.004,color=color.red)\n", "s2 = sphere(pos=calcpos2(x0),radius=0.04,color=color.red, make_trail=True, retain=5)\n", "rod2 = cylinder(pos=calcpos1(x0), axis=calcpos2(x0) - calcpos1(x0), radius=0.004,color=color.red)\n", "\n", "s12 = sphere(pos=calcpos1(x02),radius=0.04,color=color.blue, make_trail=True, retain=5)\n", "rod12 = cylinder(pos=vector(0,0,0), axis=calcpos1(x02), radius=0.004,color=color.blue)\n", "s22 = sphere(pos=calcpos2(x02),radius=0.04,color=color.blue, make_trail=True, retain=5)\n", "rod22 = cylinder(pos=calcpos1(x02), axis=calcpos2(x02) - calcpos1(x02), radius=0.004,color=color.blue)\n", "fps = 60\n", "dt = 1./fps\n", "for ct in np.arange(t0, tend, dt):\n", " rate(fps)\n", " sol1 = bulirsch_stoer(fdoublependulum, cx, ct, 1, ct + dt, eps, error_definition_doublependulum)\n", " sol2 = bulirsch_stoer(fdoublependulum, cx2, ct, 1, ct + dt, eps, error_definition_doublependulum)\n", " # sol2 = ode_rk4_adaptive_multi(fdoublependulum, cx, ct, 1, ct + dt, eps, error_definition_doublependulum)\n", " cx = sol1[1][-1]\n", " cx2 = sol2[1][-1]\n", " \n", " s1.pos = calcpos1(cx)\n", " rod1.axis = calcpos1(cx)\n", " s2.pos = calcpos2(cx)\n", " rod2.pos = calcpos1(cx)\n", " rod2.axis = calcpos2(cx) - calcpos1(cx)\n", " \n", " \n", " s12.pos = calcpos1(cx2)\n", " rod12.axis = calcpos1(cx2)\n", " s22.pos = calcpos2(cx2)\n", " rod22.pos = calcpos1(cx2)\n", " rod22.axis = calcpos2(cx2) - calcpos1(cx2)\n", " \n", " T = kinetic_energy(cx)\n", " V = potential_energy(cx)\n", " ts.append(ct + dt)\n", " energies[0].append(T)\n", " energies[1].append(V)\n", " energies[2].append(T+V)\n", " \n", " T2 = kinetic_energy(cx2)\n", " kinetic_energies[0].append(T)\n", " kinetic_energies[1].append(T2)\n", " \n", "# Plot the kinetic energies\n", "plt.plot(ts, kinetic_energies[0], label = 'System 1')\n", "plt.plot(ts, kinetic_energies[1], label = 'System 2')\n", "plt.xlabel('t [s]')\n", "plt.ylabel('T [J]')\n", "plt.xlim(8,12)\n", "plt.title(\"Two double pendulums with similar initial conditions\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/javascript": [ "if (typeof Jupyter !== \"undefined\") { window.__context = { glowscript_container: $(\"#glowscript\").removeAttr(\"id\")};}else{ element.textContent = ' ';}" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scene = canvas() # This is needed in Jupyter notebook and lab to make programs easily rerunnable\n", "\n", "theta1_0 = np.pi / 2.\n", "theta2_0 = np.pi / 2.\n", "omega1_0 = 0.\n", "omega2_0 = 0.\n", "deltheta = 1.e-4\n", "x0 = np.array([theta1_0 + deltheta, theta2_0 + deltheta,omega1_0,omega2_0])\n", "\n", "t0 = 0.\n", "tend = 15. # s\n", "cx = x0\n", "\n", "ts = [t0]\n", "qs = [x0]\n", "\n", "fps = 30\n", "dt = 1./fps\n", "for ct in np.arange(t0, tend, dt):\n", " sol = bulirsch_stoer(fdoublependulum, cx, ct, 1, ct + dt, eps, error_definition_doublependulum)\n", " #sol = ode_rk4_adaptive_multi(fdoublependulum, cx, ct, 0.5 * dt, ct+dt, eps, error_definition_doublependulum)\n", " cx = sol[1][-1]\n", " ts.append(ct + dt)\n", " qs.append(cx)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/gif": 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YRUwWUpOUoyOUPPlJUAYSi2AkZSPz2DxUplKV8TNkW2QJS+DQci23rGVvcpkWXupSN748SzB/eZthlsWYxKQNMseyzGTGpplhgaYzXSPNr1Rzmqu5Zle0iU3UcHMr3+xmacKZFXKKUzTmvEo6zwmgx6yTnSFyJzxB9E76zfM/9dTfPb2T/89D7rM7/YxKQP85mYE+xaAEhQxCm7LQhDamoUuBqEMVI9GkVHSih7noUTSKUU7Js6PL4Sj+QBrSj5IUOSIlSkpP+jyTsrQ4K50O7MhnopceJ6Ym0R4qcWrTKLJSaqIsUE9h+tOpDa2mQx0OTzNHPdIprpNJDc5SG6RHo+kuqr6ZKki8Fzanog6rvNHqR7rHLKs+FazA1CStIAlVtIZVrWKzZFvdmta4PHJ7o6TrW+H6J8QJSa97tatOaSpWwAqTLlek6SsNW0yXMrY2hdVJZB8rlsnixLKUtaZjM/vMzXL2NZi1SWg/a0XPkpY1o6VJak9LRtOyNjWrlUlsX+tPFv/SFrSuve04c6vb0cwWJr/t7Xd4K1zQBNclxy0uUpK7HuXClrjODRJ0o6sZ5q7EutQNCnZdlt3d2ra7vp0ueCuz3emMF53iPa9kynsS9qr3Ju4tSXzfq9r00ve7drneTu8bz/ySFYvz5S9wo/jfowZYwMj1bxm9ulgEW+bAaQvqWSHsYBbVhW1Dk2uF14tYDMNNehTecOaK6tc9XlXEkQmx4iScMRST15RE0rCKXTxiGHO1bUKlMYe9hteizVjHY83Ls8j3YyAPSMjeelGRjUwi+zLZh05+8hCjLGUkUrnKTcQvlhGz5PJtmaJX/jJiwyxmR5K5zHDpsovQbBg1X8T/zWxO0JnjzBY4V8TOdG7SnPPcyz3z+bBa/vOUAy1oKxO60Fl+KKJbeuhFX9jPjgYLnicyaURXOiKXFnSmvxRpQyu604lmzKb5POqngTrUiyk1nVVsPtWV59Q+FeyiWo1UWI9ZsKianB1tfWsCo+2MvO61guuY12DbFclo87Gq2axmFqfIlcYmS5cXzGAYRhucCsaxga+d5guz9XK15nadO8weToZb3GqZ8fV0XWx0p9vGtlv3ud0N6DT7TrHLZjak6X3QffObof7+d0QDLnCLErzgGzWKBuGLcLNIdOGibfgxFZ5BhkucmRQHXH0vXtmMP42c+UZzyPXM8WgevOTn/zk5yn0i0tNZfOXbVIq/UARzr3C0fjMZuZhvvlCdf5nn2Kl5zC3ac6FzhecI9fmWWw69jRu9nDJ3ecSfDnWiW/u6VK/6couedXVGPehdby3RwR52e1pdKErHMtJpnfOyV2XtXyTJvtJeZbhDm6qaoruUM83iBru93z4M31z/7hSkm1W+gjwr4Qc+9pCxKPGzs1UZT0n5yVs+3pgX1Yj0+CbOb35QoL9d6Ds/+s+LPjswkIHmMy951tPN9dFr/epnL3u2kf70t8+96XWfyNL3Hveb/7rjXQb5wV6e9q9HfuyTX3vmi4z3GoO+7XdP/d9L//nVjz71H/CAGDR/+eCPPP/zxx9+48M+8ti3fvanr/72a9/97H+//J0l/EXKvfiKDeAHHvABFwJ9+DJlYvO2QBjAfRggQYbHYPcngH7HQCHwACCAgFHHHfm3VYI3gAtkAtxXKVsUUWy3gNs2QxzwACLwQCkVdwsIP3qnFhbAfSZYQfK2gmpBAg/gAU+kciByAQ8wATc4UttxWUA0AQ9QAg30cBR0dVsFRB7wACRQhB6XKy93Q0J4AR2IPxU3dTskAg/AAVWoUldYEzK4FgXAfRYgRjgIJyDwACFgho32QAX4ACYwQWcIJ/vXfwm0gmHIFm94gHjUhhL0gBHYh5+mRBr4ABxIQHioRSNYggeUiFP/1IIPIIgJR3ZORIM2SEMTiHZhpIM8iIlWh3MvkYdvIYREWEBMV4GylUZL2ISmyFAoOGBpNIWteFB31xKi+BZayIWICBVNF4pwNIYPUIYBFFMz53RhlIZrOIwe2CtIOB539IZxOEmfKCdYmEZ1qIxnBzJg2Ed7KI3LpVKEBIjeKGqEVIiHaERzWDqLWEpvQWuudItyAYns6Bauw3bwKBeWmEn2lmu10o/tdkclsIP6OGz/8leSRIqrRJACA2yStIoJSW6kooDNqECyGEu+ZmDIUos3lIv2c1xRkzYY+S6YBIzCWDoeSS6Yw0cMiUnIaJEkZlUrKUnQiI58BZMG6UnX/2iSNfk6/phjntSNgRNiLmePsCSOQSlriSVvGNhH5niUfnhH67hE6dg/8iiVT3lH+ZgzjghLAdmJFrOVsISQXzmVAOSQY3mVfVSRyQKWsMSR8cKWqkSSb0mWAdSSa0mXADSTVISXAJSTcAKXsASUQAKYRQmBe4mWjNSUg8mXARSV9MSYAFSVj4mYkpSV+ASZANSVi0mZBzmEkzmI02SW/ISZAaSWakSaAOSWAIWa/SOXq8mZLKmGowmbMsl9JXABJekchJlMI8h9O0iFusma/aODvumbwMkcS7Zu78hOQvgALsACvumVJQWRINYp5wSJLMAADACdZNgcPzZTtrdr3f9EnC/AADVQnMepHN/JJObWgMTUgi3AAC1QnMHonUXlRjGJTTOgndzJfdKpnnBlJIcHbsSEAtrpAvSZngAqayUGgINETBWgnTTQnL/5HCc5c0H1bBl5j36RARLAACkgEBaAm9FxoR+Dnwy4lLCkAQwwAptJjxjaY5dETB3AABJwjiVqb3XTnhzKFyegnRvwlxd5ODHoTBSgnRRwmN5WnQrTo3mxAdp5AnepkK/3ar9UAB/aAXNJm1M0AgygAWcJmqq0AjaaAWFKjrWkAtpZAVopnMkSoQygAlYpppKUAdq5Ak5Jp4RUACzqonmKpp5Uozeqk1w6Qz/KAEFKqHoKR0f/ygBJSpOLGkZQygBS6pKROkVYygBa2pFu2h1eCqYPmWqMlAJlOpCACkdqygBsaqqiekdwigLj2KppZKcMgKexCmZpxKeauouFmkA1qgE4aqmn6kRkygBmyquX6kIG6qiemKwPNKly2qzDukOZGqKN2KnJ0ad3iK3HQaqDKomyukOpmqjgiqs71KiwKoe9yj+0Wqnq6qwIlKmbyoY29joP4qRg8anBOotI+V+EdUPFeqxd2I73Gn3i+UDLuqpOqKPvI5EuBKfR2oMESy+Jl58L5KEg6n/9SlYDOpHJoq0aq6NNpWwUA4pdI6j7uq3RhJIL6WFOc2IIdKjkKoErG6N7/wR5KhpAjfqoPMSgasOjDDSp7tqzDPuzMjp4BSSvRcRqkGOw/2hAn6pETDtrX4SvVeGtArtD6qaC+JZAqaqwQLSb9/OqUyS28UOrtupEZls6uuqnZcuttIGyYbS2XSOzaUS3FrOsPKtFeJssQntHfQsn1dpHgQskUUu4cOsaWEtIhesd48pIjSsdZAu5iXsaFUABFYC2mBS5y0EBH6qd2jmvlLuux9GooIuknsS5yfG5p2ujqVu5ogGnrbummwu7oWG6s7u3iEu6xSG7swu2uwuv0MG6pysBr8u7xYG7oKu7wTutcOK5oCsBzNu84Woxlwu8kqS6i3cgtru9FKG93v9Lc8gbvts4vuTbdvVqr0B1vsO1sUOmlFYrYELZY9Z3sOw7iRNLOkB7vwZXtA16VO7Jv9oFby97RvF7X1t7Sg5apQKsiTV7OojUVS+reA3sP5XFsrKDswFcwT0xvzd7tDnLwZLls+IDwhsswiPsv4XzfPaLwiznvu+rZC7swCKrnF07wylnvjgsX927wyE8GAeMwD3sw+BrauDog5Q4wEhMww2CgxD1cEusxEecxEGmwyRHxTmMxS8cxVncxFbcwhbMxWGsxVtMxk3GQoZksjGhxmvssQGIHW78xmgXx/aXUSp0x3icx3q8x3zcx378x4AcyCD0xT6chIV8yIicyIr/vMjUWXlKGYBc+8jE10ofCMlsvDBU+4qWXDKXHCa+18m2AcGVnFPmM8qknMkaicma/Hh00ovXhcqS3F6eF8s31XfAVSL1G4pnAy2ylTi9zI+gzFQNmzS9nGwAZcK6PDftecu8zMx1DIYuK1pAhczI5cvHvMvBrBF5R83VLHttnKLSnH7fRMlxo1qzd83qS8eU5icanMzf180DCs3irM7f28rtbIu0F8Q5V0m0nIIK/Mz43DaoqMrxvM+1p00U+HsF/crY3M+w8ZEpyTwWWIwpqaF4J3XEzJMBvdDMrMz07CLRXDTwPMzAxLIKGNGejNFuw9EWAdEnzdJMBc7FfDfZ/zxWIV3T5QM1+uzMuRJOEobTIH2EH/1xMt3RPY0iyTbUvaPTugkvQK3N36PUdjPVGz3BM03UlxXNT/1mTO2dN5nR3MWPfTXWyWylADzJZ+3O9uvQmCzWtrwgp6I5Xr2hq6zK5DzQ/uzIW73Udb3J8HdN95bKp7w4gv0bStbXMU1keJ3XxwfYhS3Ln4zQ28zWiEfXi83ImJ3Zmr3ZnN3Znv3ZoB3aoj3apF3aXUTZmIbapv08e003q/1QudTar11nsS3Vsw1IL70zf+1qMH3b6SbBIpnO81yPtu3bhzSyoyPWqTR5GVbcxi1QFdjOnHTPzw2jUBPPckXd1U3b123VxFh2YrK93XP0MtJ9gdot3mhxd+Vdzk8V3uhNi8ZcwEPy3e3t3O+9dZQT3Nxz0+wt0vftcMtMoKenkkX93wQ22AYeeLJ92Qlu3Wms2g0e4RI+4RRe4RauGAEBACH5BAEDADMALAAAAACAAuABh/7+/gAAAHp6ehgYGDo6Oujm6FlZWdra2iYmJpmZmWZmZkZGRgEB/sbGxrm5uf4BAYeHh6enp/8ZGf7IyBkZ/6mp//6pqbq6/9fX//8lJf+7u0dH/1dX/8fH//9WVv9ISP+IiP+Xl2dn///Y2Dg4/3Z2/v82Nigo//54eJeX//9oaIeH/y0A0YkAda0AUJIAAGAAADMAAHsAgwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA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Un5A8UO7bzbNU/zG8doLu2ReM/15gggUGAuQwoKC+98f0obeRfPD555OADCG4noEdEeCeQQEqFOFA+B0gQA4LUPfAf5Gp5yB1BHBE4EAj6qSghCWalGJGOYR4okEfhohQiwUySOKKHBImH4Lx1eijQNeFN59/D6IIgJBDIglkfDLe2OOR6pEnYJTiRfjhizM+GRKWSUIEokID2LhkeE3mqNeOUtLn5I9QaglljUoeNOGYRbZZp51FKpjme1RqFyCTDl0J3khcDhSjlzQixEAABSQk6KBm7kUgelPuyWZ2TVa65qZyfjmmQFdyiqmoe/pJJald2ukknzjemOCfhXL/miSk6RkIgQACHBDAAAyU12qkc00aZJ+fklqfpksW9KGvx1ZJbJs/6ukskayymiqCyxaI6KuwisnmrL+qWpCuAQRgQK/MAguYsNVJa2qzrJb5ZrJ43jmkvNOqCe2m7hbrqr/PSjvktiqmSOtCoSbEwAIBJOBonOrixe6+/JqHrLb0wuorhO/qy+O0154KMLXvDoxxeifF6u/DOBqQaKcQR0wXmiVHa3Ga+FpLcXo5r8wxvD5TKjLFAQ9NL8rWdeutrOkqlDBDF0LAbbgyn0Vz0CAbe6nOD31cc5ZA77yv16jaTK3JSKPYbUMqi61s2wIdkIPUbFNddVkejjpytas6/5lpmkw7yOzf2j0NpKyVVhuv1nt/ffTjJcKN0Ykkvye4oVgSgMCQAchLYpmS322WxqvGOeec89IZc+kHn36z4nW6DjuSAp+cOsyhI6ol6ok/uWgOFipQAHV047666G2hzrp/j2oKcZ/gee5qzPru7PWdQlpaesK1/+s2uCDJ/nypRRIgQAED6Meft9Uj75vdUeXu/vxCwQ+V/fTnzxP++vfPGf/+C6AAB0jAAhrwgAhMoAIXaBnpMZCBDjRM85RGwQpa8IIYzKAGN8jBDnrwgyAMoQhHSMISmvCE9IlgYV72wAderjFLa6EBYzgYGspwgDYMTA5v6L8d/sWHPMwfEP/7MsQguq+IkjIiA5F4JiUukIl5gaIT1SVFrripXuWZYgKrqBXxHQw+WkQgF7FyqL0x7XBhnKFcakc2CKVRjXEp49iMRqI3FnCMWEkh1gzEQjv2D495jN2z4ARAPz4HkFYZFKT6NR8VGvJuiKRKvxgJxkf2cI3E6l4lLam/SE5lkq+TEyf/iMmX6S1xohylEINVvfZtUpVHnJm97PVKWIrOk2/BpS2Fo8vk7TKWjunlL98HoGHespjGrJow17LMZOammWmBpjNtI02rTTNi1RzdNamIzG2aKZt482akwEkWcoqTNeYUSzrPmZp1gsWd7DQNPL0yz3iOpp5WtKd38Ln/FX7q0zP+zEpA/7mZgV7FoATFDEKrstCEVqahn3ToIbsp0eVAVCoXrShFF5NRjcJwox41TkefMtKQJqakTUGpSQ2j0qW0dKU1rIubaFlHmIpUloKk6ZFsetNSNu17L+XpD1npwDbOR6jECepKuNM6OqIRqcFRqkoCJCNKfg6qUS3lsLJ2Rp1ilTZSTUlT2zXIq36VmHEBJcnceFa0wkWtaKtlW58pl2ytyahynettwirWPVVVe0fV6274ipIJzm5Sgh0sXZoHLjERNrFueWz9IEvXYFIWN5INSmYvi5bN/sSznA2nZUMLVpCS1jWg7UlqT/tO07J2NavdSWxfm8/R/9IWta697WlmmxPe6vaguf0taXx7E+IKN6K2PS5qjFsT5iqXpMF97mecOxPqStel0b3u/7KrXc1YNybf7a5RwvsS8ooXO9w9r2XM2xL2qvez6X3vZNy7VPmChr5Tte9046tf/nbWXVjCb3+LexdBEfJFAh5wc+9iOsDWVMGZSXCtUNlVCHtXpltlGnskbGGYcDhpZvzWkRzZYcZ8uGkU1vDxSqyYE8OMcRomMYtPysqtrTWvM06uWwzLVKe6OMcpY2WE8PpUIEPmx0kLm9uQbGRCRfF1q2Nyk7f05Mohdsr+9YuUsTyeLHOZL1vuSJi/rJExD4jMJvYymiWm5jXbxf/MZXYzjXUs55jSuc46bDOe06rnPeeyz3725Z0DDWZAE1otcGbRofM86EWzudGOfrOhIy3aj1K60JC+9BonremwJHpynW5ipkMdWU6TuiufvkiqQ73qirRa06+eSKwpPeuI1NrRW57gz7h060VvmXdXfPCpZ4ZJgjwtxTgedqklxlWgKlumVcZaKp+9aWY7bskypnalMcw3EWNR22xJtN7ERrlsg1udb/bUHtl67mULOWdnY3e7w41TzxG5yPNG9LvBdsad5pveafVigP8N8LcC+4vJJji6R61wepq64Sl9OMSxy/CJd1HiFkfKSzFI4IyXc7wX7LjHF04UEBHg5Cj/T/nJ5VeSXh964zYsZHtGPhaYp40mLid0zhNEc5KnueetrTjQMboUHpto6F8JK+lwsnM/K13mYkW6w5MC9ahLvbYaR2nT9/x09F69n0qxK3y/fnGl/OnoZBeo2c/e27SrnerqPpDb87h2r8+doXWf7N3xDne7753ocC/p1vH8dOUt+O/IzbrhTfIo6Q2+zmFVueSXCqjAIj5+63Iwvi8fcS37mPOYh7u8xF6wG5sV9J3PeqemWtZ6ka93tGrl7mafUyXJ3j1/fdKEdu+x3uve93kCPu2EDylBxcAGr0/+YZe/POarDvbQV37zcx/831u/+tgf/vW1n/1FeizvcS19/6qaT/7nS9/8znd9+m9PJvR3jPvw9/725d99oc3f/vUXz4dagIMGNKAF60d7tieAsUeA0ReAtRc97reA6vd+9Bd/+AeB+SKBDkgp4Gc74idiJndyBUQAHOB/EkABMtR1HMN6prd5A0QBEuB/HGBuAVR445cyrfd4Z0EAKOB/GbABQVR4W1V1XfN5BVQC/tcAHqBEfLV4Lad5/iZAGKAB/qcBGOBEhBVsMoh78tY/IDCEIKBFvdZ406Y/G5AB/vcBUciFGJccHgCCIphGL2VuLogSNNgVFSCGDYACb6hANlc3Ioc8NgiCFWBIefgqe3g3KsiClgRzFjSIEUMAH4CDOv94iCCXiDYRh1YhhP63haNEiQnnHU34hGWYiWfYG2nofyWwS5oobDkShmN4h0YYirnxgQ0QgsZ0iigYHRWwgg3QgslEi0vYHX3YABnwh87Ei7xoFCWAi0V4TcTYHRjQiA2gAY+ojGFXctKRhZd4TjCoWdCxAU7YAGTITjzYR2jXHKMoi/F0hF6Fc80xh/5nh/r0WM3DikGmHB7ohwS1WVQIXspRiLnoUPhYeep4HIzoiBIlWbiHcB52HJbYAJhYkC41S/5UjDXRic/4iQ4ZeHHnPdVFHNbYAKUYUtmYJZMoHKrojfI4TUpHjcABi+a4UsvoG7fIgie5TS+5G78YjEj/JWWu9HxZtBv8mIw5GXBXtJO1KBvN+ITRGJQGVyOEQ31fWBsd2ZBY9WnIhmC3wY1jaJFTaW03Ajo7Yhvl+JFzlWhylDcMIo6twY51OJMJJW7kQXq3wzqtUY+xKIyJZV5K82KYw0dnyZaZwY8cwFl4uTYx+DgAAJe9uBo3mZSQNWYIxkJW2RoLCZSCKWT81m8SuREUCYWs9WsjckqRmRodKZanpZMHdzyZeREl+QF+CVOm6UpelZoVUY5reFs16RkVQAHCGJNrKVy3uRn8GIvdKAF2+Vu/+ZdDmJxEKF3HiRm4qJwScF3NaRkV4H8w4AA1kJzF6ZuuuBcU4H8u4AAu/5CctXlc01kZ1dkAL+AAMKCdzNmde7GC68kCQxid7yl0j/GdMuAA9Ol/5Wme8OmdM+AANBCL/wmg+AkZDuAAN7Cdz3Wel7Gg6gWhlUEAEnpeFEoZKuAAFjChAaoXF+AAKeChCeoYE+AAJ0CiltYZIeAAHaCiP9cZIuAAIwCjHPUZI+AAImCjLfYZHeAAIcCjc9YZJ+AAEyCkiCGbC5ECDnABSHoYSqoQFuAAK/CkLPUZC9qagpWhk3GhGPqheLGhDvBeXBoZK8ChZAqmdxGiJpCm3MaXCFmUlXGiKWqlzPRFRJmYmUECLuqmddVgiYKQUYoQM1qjdhpNLYJXobkZOf9KAn5qcGTVLF55lp7xo0F6qGaRLR/zNn3ZGSZgpI8aWYH6lht2lisGGUzqpJjKUISZYnC5I1o6GFOqAqGKamujqMzzlZ2RpbWKaKQTd4uaGRY6pr2KqGx3b3p6GWIqX24JL055hZhxpiNarLkEPXE6qAbBpszKYKUap8lqGS1ap6vKaJvBpy9KrVfKGTO6o+i6Qp3RqNtaootRpJc6ruviqaDarjrSGUxapfpqZ5sxq/G6oprBq/8qGNhqbF5qr0O1GRvaoQMbo5khrfZVpibqAG0asTe6GeFasWpKF3xqqAdLrpmxrh4rr4nxo46qsT26GfR6sgSLGZ+qqiN7r5v/0a8wK7GYsaC0yrJDmhkGW7MNK6wLy7Ba5rBomrMbmxkhOq0+m6SbcaIZ+7RQyrF9qrQtu6c0ql8Wyxg5yq5Ue6fj460JKxCWyrVCBqio6bL5Grb/5VieIqibMbNoC6lq423fOhlT6q9uOzo9eC94W7YAELRC+07tY5ZyEqt/UbRGm3SKhB6vaqreyhjD2l+D+auhdJilmrgTm7RYa0WtWjSc+pSVoa11W603Bqy6ihl0arlCCbjWs7qXYa6u+7p786yWdxmFWruQij35WLbwerq9m5HfRrqUcbbCu7SXwaRg27cAO6dTuqAWcKTOi7CXcaILmr1t+6UoK6vam70Q/9u4mEYZIfq92Uuz4tW1hoG95ru93aW+hVG+7Yu+7/uxbhG93xu+3BuzksG+2ku94ptE14u/0/u5UMu0E0C/ASxqqJd6OtvAVGe/EOxk3TvBivizFnwU8JvBTCfBHNxlFfzBMrHBIhyQ/FvC5+HBKKxoIbzC7aXCLmwRJBzDLjHDNLweMHzDEmHDOmx1QjlucjkjPSx3P6y21zrEqmW7t0snxovEh4e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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system_animate(double_pendulum_plot, qs, ts, 'double-pendulum-2.gif')\n", "\n", "from IPython.display import display, Image\n", "display(Image(filename='double-pendulum-2.gif'))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }