{ "cells": [ { "cell_type": "markdown", "metadata": { "lang": "en" }, "source": [ "# Lagrangian mechanics\n", "\n", "> Marcos Duarte \n", "> [Laboratory of Biomechanics and Motor Control](http://pesquisa.ufabc.edu.br/bmclab) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\\begin{equation} \n", "\\mathcal{L}(t,q,\\dot{q}) = T(\\dot{q}_1(t),\\dotsc,\\dot{q}_N(t)) - V(q_1(t),\\dotsc,q_N(t))\n", "\\label{}\n", "\\end{equation}\n", "\n", " \n", "where the total potential energy is only due to conservative forces, that is, forces in which the total work done to move the system between two points is independent of the path taken.\n", " \n", "The Euler–Lagrange equations (or Lagrange's equations of the second kind) of the system are (omitting the functions' dependencies for sake of clarity):\n", "
\n", "\n", "\\begin{equation} \n", "\\frac{\\mathrm d }{\\mathrm d t}\\left( {\\frac{\\partial \\mathcal{L}}{\\partial \\dot{q}_i }} \n", "\\right)-\\frac{\\partial \\mathcal{L}}{\\partial q_i } = Q_{NCi} \\quad i=1,\\dotsc,N\n", "\\label{}\n", "\\end{equation}\n", " \n", " \n", "where $Q_{NCi}$ are the generalized forces due to non-conservative forces acting on the system, any forces that can't be expressed in terms of a potential. \n", "\n", "Once all derivatives of the Lagrangian function are calculated and substitute them in the equations above, the result is the equation of motion (EOM) for each generalized coordinate. There will be $N$ equations for a system with $N$ generalized coordinates." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Steps to deduce the Euler-Lagrange equations\n", "\n", "1. Model the problem. Define the number of degrees of freedom. Carefully select the corresponding generalized coordinates to describe the system;\n", "2. Calculate the total kinetic and total potential energies of the system. Calculate the Lagrangian;\n", "3. Calculate the generalized forces for each generalized coordinate;\n", "4. For each generalized coordinate, calculate the three derivatives present on the left side of the Euler-Lagrange equation;\n", "5. For each generalized coordinate, substitute the result of these three derivatives in the left side and the corresponding generalized forces in the right side of the Euler-Lagrange equation.\n", "\n", "The EOM's, one for each generalized coordinate, are the result of the last step." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Particle moving under the influence of a conservative force\n", "\n", "Let's deduce the EOM of a particle with mass $m$ moving in the three-dimensional space under the influence of a [conservative force](https://en.wikipedia.org/wiki/Conservative_force). \n", "\n", "The model is the particle moving in 3D space and there is no generalized force (non-conservative force); the particle has three degrees of freedom and we need three generalized coordinates, which can be $(x, y, z)$, where $y$ is vertical, in a Cartesian frame of reference. \n", "The Lagrangian $(\\mathcal{L} = T - V)$ of the particle is:\n", "
\n", "\n", "\\begin{equation} \n", "\\mathcal{L} = \\frac{1}{2}m(\\dot x^2(t) + \\dot y^2(t) + \\dot z^2(t)) - V(x(t),y(t),z(t)) \n", "\\label{}\n", "\\end{equation}\n", "\n", "\n", "The equations of motion for the particle are found by applying the Euler–Lagrange equation for each coordinate. \n", "For the $x$ coordinate:\n", "
\n", "\n", "\\begin{equation} \n", "\\frac{\\mathrm d }{\\mathrm d t}\\left( {\\frac{\\partial \\mathcal{L}}{\\partial \\dot{x}}} \n", "\\right) - \\frac{\\partial \\mathcal{L}}{\\partial x } = 0\n", "\\label{}\n", "\\end{equation}\n", "\n", "\n", "And the derivatives are:\n", "
\n", "\n", "\\begin{equation} \\begin{array}{rcl}\n", "&\\dfrac{\\partial \\mathcal{L}}{\\partial x} &=& -\\dfrac{\\partial V}{\\partial x} \\\\\n", "&\\dfrac{\\partial \\mathcal{L}}{\\partial \\dot{x}} &=& m\\dot{x} \\\\\n", "&\\dfrac{\\mathrm d }{\\mathrm d t}\\left( {\\dfrac{\\partial \\mathcal{L}}{\\partial \\dot{x}}} \\right) &=& m\\ddot{x} \n", "\\end{array}\n", "\\label{}\n", "\\end{equation}\n", "\n", "\n", "Finally, the EOM is:\n", "
\n", "\n", "\\begin{equation}\\begin{array}{l}\n", "m\\ddot{x} + \\dfrac{\\partial V}{\\partial x} = 0 \\quad \\rightarrow \\\\\n", "m\\ddot{x} = -\\dfrac{\\partial V}{\\partial x} \n", "\\end{array}\n", "\\label{}\n", "\\end{equation}\n", "\n", "\n", "and same procedure for the $y$ and $z$ coordinates. \n", "\n", "The equation above is the Newton's second law of motion.\n", "\n", "For instance, if the conservative force is due to the gravitational field near Earth's surface $(V=[0, mgy, 0])$, the Euler–Lagrange equations (the EOM's) are:\n", "
\n", "\n", "\\begin{equation} \\begin{array}{rcl}\n", "m\\ddot{x} &=& -\\dfrac{\\partial (0)}{\\partial x} &=& 0 \\\\\n", "m\\ddot{y} &=& -\\dfrac{\\partial (mgy)}{\\partial y} &=& -mg \\\\\n", "m\\ddot{z} &=& -\\dfrac{\\partial (0)}{\\partial z} &=& 0 \n", "\\end{array}\n", "\\label{}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Ideal mass-spring system\n", "\n", "\n", "\n", "Consider a system with a mass $m$ attached to an ideal spring (massless, length $\\ell_0$, and spring constant $k$) at the horizontal direction $x$. A force is momentarily applied to the mass and then the system is left unperturbed. \n", "Let's deduce the EOM of this system. \n", "\n", "The system can be modeled as a particle attached to a spring moving at the direction $x$, the only generalized coordinate needed (with origin of the Cartesian reference frame at the wall where the spring is attached), and there is no generalized force. \n", "The Lagrangian $(\\mathcal{L} = T - V)$ of the system is: \n", "
\n", "\n", "\\begin{equation} \n", "\\mathcal{L} = \\frac{1}{2}m\\dot x^2 - \\frac{1}{2}k(x-\\ell_0)^2\n", "\\label{}\n", "\\end{equation}\n", "\n", "\n", "And the derivatives are:\n", "
\n", "\n", "\\begin{equation} \\begin{array}{rcl}\n", "&\\dfrac{\\partial \\mathcal{L}}{\\partial x} &=& -k(x-\\ell_0) \\\\\n", "&\\dfrac{\\partial \\mathcal{L}}{\\partial \\dot{x}} &=& m\\dot{x} \\\\\n", "&\\dfrac{\\mathrm d }{\\mathrm d t}\\left( {\\dfrac{\\partial \\mathcal{L}}{\\partial \\dot{x}}} \\right) &=& m\\ddot{x} \n", "\\end{array} \n", "\\end{equation}\n", "\n", "\n", "Finally, the Euler–Lagrange equation (the EOM) is:\n", "
\n", "\n", "\\begin{equation}\n", "m\\ddot{x} + k(x-\\ell_0) = 0\n", "\\label{}\n", "\\end{equation}\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Simple pendulum under the influence of gravity\n", "\n", "\n", "\n", "Consider a pendulum with a massless rod of length $d$ and a mass $m$ at the extremity swinging in a plane forming the angle $\\theta$ with the vertical. \n", "Let's deduce the EOM of this system.\n", "\n", "The model is a particle oscillating as a pendulum under a constant gravitational force $-mg$. \n", "Although the pendulum moves at the plane, it only has one degree of freedom, which can be described by the angle $\\theta$, the generalized coordinate. Let's adopt the origin of the reference frame at the point of the pendulum suspension. \n", "\n", "The kinetic energy of the system is:\n", "
\n", "\n", "\\begin{equation}\n", "T = \\frac{1}{2}mv^2 = \\frac{1}{2}m(\\dot{x}^2+\\dot{y}^2)\n", "\\end{equation}\n", "\n", "\n", "where $\\dot{x}$ and $\\dot{y}$ are:\n", "
\n", "\n", "\\begin{equation} \\begin{array}{l}\n", "x = d\\sin(\\theta) \\\\\n", "y = -d\\cos(\\theta) \\\\ \n", "\\dot{x} = d\\cos(\\theta)\\dot{\\theta} \\\\\n", "\\dot{y} = d\\sin(\\theta)\\dot{\\theta}\n", "\\end{array} \\end{equation}\n", "\n", "\n", "Consequently, the kinetic energy is:\n", "
\n", "\n", "\\begin{equation}\n", "T = \\frac{1}{2}m\\left((d\\cos(\\theta)\\dot{\\theta})^2 + (d\\sin(\\theta)\\dot{\\theta})^2\\right) = \\frac{1}{2}md^2\\dot{\\theta}^2\n", "\\end{equation}\n", " \n", "\n", "And the potential energy of the system is:\n", "
\n", "\n", "\\begin{equation}\n", "V = -mgy = -mgd\\cos\\theta\n", "\\end{equation}\n", "\n", " \n", "The Lagrangian function is:\n", "
\n", "\n", "\\begin{equation}\n", "\\mathcal{L} = \\frac{1}{2}md^2\\dot\\theta^2 + mgd\\cos\\theta\n", "\\end{equation}\n", "\n", " \n", "And the derivatives are:\n", "
\n", "\n", "\\begin{equation} \\begin{array}{rcl}\n", "&\\dfrac{\\partial \\mathcal{L}}{\\partial \\theta} &=& -mgd\\sin\\theta \\\\\n", "&\\dfrac{\\partial \\mathcal{L}}{\\partial \\dot{\\theta}} &=& md^2\\dot{\\theta} \\\\\n", "&\\dfrac{\\mathrm d }{\\mathrm d t}\\left( {\\dfrac{\\partial \\mathcal{L}}{\\partial \\dot{\\theta}}} \\right) &=& md^2\\ddot{\\theta}\n", "\\end{array} \\end{equation}\n", "\n", " \n", "Finally, the Euler–Lagrange equation (the EOM) is:\n", "
\n", "\n", "\\begin{equation}\n", "md^2\\ddot\\theta + mgd\\sin\\theta = 0\n", "\\end{equation}\n", "\n", " \n", "Note that although the generalized coordinate of the system is $\\theta$, we had to employ Cartesian coordinates at the beginning to derive expressions for the kinetic and potential energies. For kinetic energy, we could have used its equivalent definition for circular motion $(T=I\\dot{\\theta}^2/2=md^2\\dot{\\theta}^2/2)$, but for the potential energy there is no other way since the gravitational force acts in the vertical direction.\n", "In cases like this, a fundamental aspect is to express the Cartesian coordinates in terms of the generalized coordinates." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Numerical solution of the equation of motion for the simple pendulum\n", "\n", "A classical approach to solve analytically the EOM for the simple pendulum is to consider the motion for small angles where $\\sin\\theta \\approx \\theta$ and the differential equation is linearized to $d\\ddot\\theta + g\\theta = 0$. This equation has an analytical solution of the type $\\theta(t) = A \\sin(\\omega t + \\phi)$, where $\\omega = \\sqrt{g/d}$ and $A$ and $\\phi$ are constants related to the initial position and velocity. \n", "For didactic purposes, let's solve numerically the differential equation for the pendulum using [Euler’s method](https://nbviewer.jupyter.org/github/demotu/BMC/blob/master/notebooks/OrdinaryDifferentialEquation.ipynb#Euler-method). \n", "\n", "Remember that we have to: \n", "1. Transform the second-order ODE into two coupled first-order ODEs, \n", "2. Approximate the derivative of each variable by its discrete first order difference \n", "3. Write an equation to calculate the variable in a recursive way, updating its value with an equation based on the first order difference. \n", "\n", "We will also implement different variations of the Euler method: Forward (standard), Semi-implicit, and Semi-implicit variation (same results as Semi-implicit). \n", "\n", "Implementing these steps in Python: " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-03-31T15:28:35.385338Z", "start_time": "2021-03-31T15:28:35.378887Z" } }, "outputs": [], "source": [ "def euler_method(T=10, y0=[0, 0], h=.01, method=2):\n", " \"\"\"\n", " First-order numerical approximation for solving two coupled first-order ODEs.\n", " \n", " A first-order differential equation is an initial value problem of the form:\n", " y'(t) = f(t, y(t)) ; y(t0) = y0 \n", " \n", " Parameters:\n", " T: total period (in s) of the numerical integration\n", " y0: initial state [position, velocity]\n", " h: step for the numerical integration\n", " method: Euler method implementation, one of the following:\n", " 1: 'forward' (standard)\n", " 2: 'semi-implicit' (a.k.a., symplectic, Euler–Cromer)\n", " 3: 'semi-implicit variation' (same results as 'semi-implicit')\n", " Two coupled first-order ODEs:\n", " dydt = v\n", " dvdt = a # calculate the expression for acceleration at each step\n", " Two equations to update the values of the variables based on first-order difference:\n", " y[i+1] = y[i] + h*v[i]\n", " v[i+1] = v[i] + h*dvdt[i]\n", " Returns arrays time, [position, velocity]\n", " \"\"\"\n", " N = int(np.ceil(T/h))\n", " y = np.zeros((2, N))\n", " y[:, 0] = y0\n", " t = np.linspace(0, T, N, endpoint=False)\n", " for i in range(N-1):\n", " if method == 1: # forward (standard) Euler method\n", " y[0, i+1] = y[0, i] + h*y[1, i]\n", " y[1, i+1] = y[1, i] + h*dvdt(t[i], y[:, i])\n", " elif method == 2: # semi-implicit Euler (Euler–Cromer) method\n", " y[1, i+1] = y[1, i] + h*dvdt(t[i], y[:, i])\n", " y[0, i+1] = y[0, i] + h*y[1, i+1]\n", " elif method == 3: # variant of semi-implicit (equal results)\n", " y[0, i+1] = y[0, i] + h*y[1, i]\n", " y[1, i+1] = y[1, i] + h*dvdt(t[i], [y[0, i+1], y[1, i]])\n", " else:\n", " raise ValueError('Valid options for method are 1, 2, 3.')\n", "\n", " return t, y\n", "\n", "\n", "def dvdt(t, y):\n", " \"\"\"\n", " Returns dvdt at `t` given state `y`.\n", " \"\"\"\n", " d = 0.5 # length of the pendulum in m\n", " g = 10 # acceleration of gravity in m/s2\n", " return -g/d*np.sin(y[0])\n", "\n", "\n", "def plot(t, y, labels): \n", " \"\"\"\n", " Plot data given in t, y, v with labels [title, ylabel@left, ylabel@right]\n", " \"\"\"\n", " fig, ax1 = plt.subplots(1, 1, figsize=(10, 4))\n", " ax1.set_title(labels[0])\n", " ax1.plot(t, y[0, :], 'b', label=' ')\n", " ax1.set_xlabel('Time (s)')\n", " ax1.set_ylabel(u'\\u2014 ' + labels[1], color='b')\n", " ax1.tick_params('y', colors='b')\n", " ax2 = ax1.twinx()\n", " ax2.plot(t, y[1, :], 'r-.', label=' ')\n", " ax2.set_ylabel(u'\\u2014 \\u2027 ' + labels[2], color='r')\n", " ax2.tick_params('y', colors='r') \n", " plt.tight_layout()\n", " plt.show() " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-03-31T15:28:35.656279Z", "start_time": "2021-03-31T15:28:35.386419Z" } }, "outputs": [ { "data": { "image/png": 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hJk+eXLdj7SnXXXcdIiIi6o23O3fuxJo1azBixAh06NDBqzYkEklgIl24JRKJx/Tr18/pezt27MCzzz6L1atX4+jRo/ViWg8fPtzgscvKyrBlyxbExcXhpZdecviZ8PBw7Nq1q+7/9evXAwAuuOACF3+Bc/755x8AwIgRI+q917FjR7Rr1w45OTkoLCy0cYUODw936qY5atQopKWl4b333sPTTz9dpwwtWLAAISEhmDZtmst9CwoKwrBhw+q9N2LECAQHB+Pvv/926VjO6NKlC3r16oWPPvoIBw8exMUXX4xBgwahb9++brv/OnL1ZsnMGnrv0KFD9d5LTk52aLQZPnw4Hn300Tq5OeOPP/4AABQWFjqM0z158iQA2FxXjeFOn/744w+Ehobi008/dXisqqoqnDx5Enl5eWjZsmXd682bN3eYaI8pQQUFBXWvMdk7uj6GDBnitWIiCi2vE62xV4YB9899TEwMevbsWc/lm12TK1euxMaNG+t978SJE7Bardi7d2+989DQGOwIdi0OHjy43nspKSlISkpymhuhobZKS0vx8ssv46uvvsKePXtw+vRpm9h8+/H+mmuuwSOPPIKlS5fi1ltvrXvdFfdtV2nRogUmTZqEpUuX4o8//sCAAQMA0HgLuB4uI5FIJPYYcxaVSCR+QatWrRy+vn79epx99tmoqanBOeecg4svvhjR0dEICgrC5s2bsWzZskYTtxQUFEBRFJw8ebJefKczWEIfLUqdsGRLzn5j69atceDAARQVFdko0ImJiQ53YgDaUbvxxhtx//3349NPP8WUKVOwYcMGbNmyBePGjXM5Q3ZRURFatGhhE/vNCAkJQVxcHE6cOOHSsZwRHByMFStWYN68efj8889x7733AgCio6MxdepUPPHEEw532R3haNeNKXENvVddXV3vPWcxnkxOzpJkMfLy8gAAP//8M37++WennyspKWnwOJ72KS8vDzU1NY1e0yUlJTYKtLPYVHauamtr615j7TnqV3BwsM1xjYSW14nWNNS+q+cecDyesGvy2WefbbAPjq5JZ+OTMxrrX2JiolMF2llb1dXVOPvss7Fx40Z069YNkyZNQnx8fN349Oijj9Yb75OSkjBixAisWLECO3fuROfOnXH8+HEsX768LoZZC26++WYsXboUb7/9NgYMGICKigq8++67SEhIwLhx4zRpQyKRBB7ShVsikXiMM0Vx/vz5KC8vx/Lly/HDDz/gpZdewrx58zB37lyXd0zYgrVXr15QFKXBB4Mpso3tbrvT/rFjxxy+f/ToUZvPMZydE8a0adMQHh5etwviyW5ITEwM8vPzHSoONTU1OHXqFKKjo10+njNiY2Px4osv4uDBg3UJjTp27IhXXnmlzh1db44fP+7wdSanxmpRs/dffvnlBq8p5gatdZ9iYmIQGxvb6DWdkpLicvvOfqOjftXW1tYpbGqY+3lNTU2995xlmnZEQ8cBGjdwiESr39gQDZ17wPF4wr5TVFTU4DXhaFe7sfHGHjYuOOufs9cbaoslp5syZQq2bduGt99+G48//jjmzp3b4LjGdpmXLl0KgDKD19TUaLL7zOjXrx/69OmDTz75pC65X0FBAa677jqHBkiJRCJxBalASyQSzcnKykKLFi1sMloz7N0XnREVFYWuXbtix44dyM/Pd+k7/fv3B0AlglwhKCjIZvdITa9evQDAYcmbrKwsHDp0CGlpaQ1msnZEXFwcLrvsMvzxxx/4/fff8cknnyAtLQ3nnXeey8fo1asXrFYrVq9eXe+91atXo7a2Fr1793arX42RmZmJadOmYdWqVYiKisJXX32l6fFd5cCBAw53yJicmNycwa6RNWvW+KRP/fv3R0FBAXbs2KFZ+/Yw2Tu619asWeNQgWQx7QcPHqz33l9//eVy2w0dJysrSzNF1RO0+o0N0dC5LyoqchivLeKadAa7Fn///fd67+3fv9/huWmMrKwsAJQR3J6Gxvvx48ejWbNmeP/992G1WrF06VKEhITgyiuvdKldFq/tbAxn3HzzzSgvL8d7772HBQsWwGKx4IYbbnCpDYlEInGEVKAlEonmpKamIj8/H1u3brV5feHChS4rtwBw1113oaqqCtddd53DhXdBQYFNrO+UKVMQHR2NN954A2vXrq33eftYyZYtWzpdMLL6ofPnz6+LiwVosXbPPffAarW6HLNsD9u9nThxIsrKyjB9+nS3dpJY32bPno2ysrK618vKynD//fcDgMd9Y+Tk5DhU8goKClBZWVkvqZte1NbW4r777rOpdZ2Tk4NXXnkFISEhdYmlnNG3b18MGTIEX375ZV0yNnu2bdvmlgu8O3268847AQA33HCDw/q+paWldbH8nsLKsj3++OM2xqeKigrMnj3b4XeYZ8jixYttFOyDBw9i3rx5LrfdqVMnREdHY9myZTbnsLy8HDNmzHDnZ2iOVr+xIS655BLExsbiww8/rKeUz5071+EO/G233YbQ0FDceeed2LNnT733q6qqNFOur7zySoSEhODVV1+1GfsURcHs2bMbVUYdwep6//bbbzav79u3D/fdd5/T7zVp0gQTJkzA4cOH8cILL2Dr1q0YPXq0TdLGhmC1qBtT+q+44go0b94cTz75JNatW4fzzjsP6enpLrUhkUgkjpAx0BKJRHNmzpyJn376CYMHD8bEiRMRExODv/76C7///jsmTJiAzz//3KXjXHfdddi0aRPeeOMNZGRk4Pzzz0dycjLy8/ORk5OD1atX49prr62roRwXF4cPP/wQEyZMwNChQzF69Gh0794dRUVF2Lp1Kw4dOoScnJy6459zzjn4+OOPcckll6BXr14ICQnB0KFDMXToUAwcOBD33nsvnnnmGXTr1g0TJkxA06ZN8cMPP2D79u0YPHiwSzWHHTFgwAD07NkTmzdvRmhoaF02X1e58sorsWzZMnz66afo2rUrxo4dC4vFgq+//ho5OTmYOHFivYzF7sLisvv06YNu3bqhTZs2OHnyJJYtW4bq6uoGF8YiOeOMM7Bx40b06dMH5513HoqKiurcM5955hmHibbs+fDDD3H22Wdj2rRpeOWVV9CvXz80b94chw4dwtatW7F9+3b88ccfLi/k3enTOeecg6eeegqzZ89G+/btMXr0aKSlpaGkpAT79+/HqlWrMHjwYPz4448en6NBgwbh9ttvx6uvvlp37bI60LGxsfUyPQPAWWedheHDh2PlypU466yzcPbZZ+P48eP49ttvcf7557u8MxkaGoq77roLc+fORa9evTBu3DjU1NTg559/Rps2bVyO8xeBVr+xIaKiovD2229j0qRJGDJkiE0d6O3bt2Po0KH1PEc6deqERYsW4brrrkPXrl0xatQodOjQAdXV1Thw4ADWrFmD+Ph4txLbOSMjIwPz5s3DAw88gB49emDSpEl1daDz8/PRo0ePeobPxrjooouQmZmJF198Edu3b0evXr1w4MABfPfddxgzZgwOHDjg9LtTpkzB4sWL8cADD9T97ypRUVHo168fVq9ejauuugrt27dHcHAwLr74Ypxxxhl1n2vSpAmmTJmCl19+GYBMHiaRSDRAeKEsiUTitzRWB7qhmsLffvut0q9fPyUqKkqJiYlRRo4cqaxataqu5uvixYvrtWVfH1Z9rDFjxijx8fFKaGiokpiYqJx55pnKgw8+qOzcubPe57dv365cffXVSps2bZTQ0FAlISFBGTp0qLJgwQKbzx0/fly54oorlISEBCUoKMhh/dqPPvpIGTRokBIVFaWEh4crXbp0UebPn1+vLnVjv8Gel19+WQGgTJw40aXP21NbW6u8/vrrSp8+fZTIyEglMjJS6d27t/Laa6/Z1CNmuFsH+uDBg8rs2bOVgQMHKomJiUpYWJjStm1bZdSoUcr3339v81l36gQzGqrJ6+wawX91uw8fPqxMnjxZiY+PV8LDw5VevXopH3zwQb3jNFSTuLi4WHn88ceV3r17K02bNlUiIiKU1NRUZfTo0cqCBQsc1vF2hLt9YqxZs0a57LLLlNatWyuhoaFKXFyc0qNHD+XOO++sVz+4oevK2Xm0Wq3Kq6++qnTq1EkJCwtTWrdurdxyyy1KYWGh0+MVFhYq06dPV+Lj45WwsDCla9euyoIFC9yWr9VqVZ5++mklPT1dCQ0NVZKSkpRZs2YppaWlDdaBtpe3ojQsw8bqADtCq9/YWN+WL1+uDBo0SImMjFSaN2+uXHzxxcrOnTsbPN7WrVuVKVOmKMnJyUpYWJgSGxurdO3aVZk+fbqyYsUKm8+yOtCe8u677yo9e/ZUwsPDlbi4OGXy5MnK4cOHla5duyrNmzd3+XcyDhw4oFx55ZVKmzZtlIiICKVLly7K008/rVRXV9fdI46wWq1KWlqaAkBp0aKFUllZ6fBzzs7b3r17lQsvvFBp0aKFYrFYnF5HrK59mzZtbOpLSyQSiSdYFEWVgUcikUh8RKtWrRATE2NTz9bMXHPNNXjvvfewYsUKnH322b7ujl9gsVgwbNgwh3HpvsKIfZJIPKG4uBiJiYno2bNnXWkts7Bo0SJMmzYNDz/8sGbu+hKJJHCRMdASicTn5Ofn49SpU3V1Vc3O/v378cknn6BLly5SeZZIJLpy8uTJehn8a2pqcPfdd6OiosJhMjB/pqamBi+++CJCQ0Ol+7ZEItEEGQMtkUh8RmFhIZ5++mksX74ctbW1mDBhgq+7JJT33nsPu3fvxieffIKqqirMnz/f112SSCQBxhdffIFHHnkE5557LpKSkpCfn4/Vq1djz5496N27N2677TZfd1ETVq9ejd9++w0rV67E9u3bcccdd6Bt27a+7pZEIjEBUoGWSCQ+o7CwEM8++yzS0tLw5JNPYvr06b7uklAWLlyI1atXIykpCa+88grGjRvn6y5JJJIAo1+/fhg2bBjWrVuHEydOQFEUpKWl4aGHHsJ9993nswz7WvPrr7/i0UcfRcuWLXHTTTfhqaee8nWXJBKJSZAx0BKJRCKRSCQSiUQikbiAjIGWSCQSiUQikUgkEonEBaQCLZFIJBKJRCKRSCQSiQvIGGidsFgsAICQEHnKJRKJRCKRSCQSiXNqamoAADLa1njIHWiJRCKRSCQSiUQikUhcQG6H6gTbebavvSiRSCQSiUQikUgkakJDQ33dBYkT5A60RCKRSCQSiUQikUgkLiAVaIlEIpFIJBKJRCKRSFxAKtASiUQikUgkEolEYhb27AHmzAEGDgQSEoCoKKB7d2D2bKCgoP7ny8qA++8HUlOB8HD6e//99Lojtm4FLroIiI0FmjYF+vcHvvxS5C8yFBZFpnbTBRbHIGOgJRKJRCKRSCQSSUN4pTvcfz/w2muk5A4YAISFAb/9Bnz6KZCcDGzcCCQm0mdra4FzzgFWrQKuvhoYOhTYtg14/XVgyBDgl1+A4GB+7C1bgMGDSdGeOROIjwfefx/4/XfgnXeAadO8//EGRyrQOiEVaIlEIpFIJBKJROIKXukOf/0FZGYCzZvbvv7QQ8DjjwP33AM8+yy9tmgRKb233w688gr/7Msvk4K8aBFw7bX89aFDSVneuBHo25deq6mh3e49e4Dc3Prtmgzpwi2RSCQSiUQikUgkZqFvX8dK7MSJ9HfbNv7au+/S37vvtv3sjTeSezZ7HyDleM0aYNgwrjwDQEgIMGMGUFQELFumxS8wNFKBlkgkEolEIpFIJBKzc/gw/U1IoL+KQrvVbdoAKSm2n42IAHr3Bv78kz4HABs20N+BA+sfm73GPmNiZB1oiUQikUgkEolEIjEYrWtqgPR05x/Yt8/1g9XWAvPn0/OpU+lvfj5QWgp07er4O+3a0Y5zQQHQogVw6BB/3dFnAf4ZEyN3oAOQigrgzTeBI0d83RM/o7YW2LED2LmTW+IEUFRExsBjx4Q1YW4qKgCrVdjhi4uBTZvk/WNUmHyYkV3iIlYrsGsXjXG1tcKaKSkh+Rw8KKwJc6IowO7dwPbtFGsoiNJSks+BA8KaMCeKAuzdS26xAuVTVgb8/Td50UrcQFGArCzKHB3IuYjuuANYt45cs88+m15jWbbDwx1/JyLC9nMNfT4sDLBYnGfuNhFSgQ5Afv4ZuOUWoG1b4NJLgaNHfd0jP+CnnygZQ7duQJcu9Fi7VtMmystpbEtIAM48E2jdGrj4YqkIuM2LLwKdOlE2SQ2pqKDwoIQECvtp2xYYPVoqAh5z+rSmh6uqAu67j5KK9u1LhvDzzpMLTZdYt452Hzp3pjEuM5PGPA2prqbcNez+SU6m9Vt2tqbNmJMNG4AzzqBxrXt3ICMD+O47TZuorQXmzuXySUmhEMc9ezRtxpxs2QL06gV06EBy+vBDzZuwWmnjMDER6NMHSEsDBg0ie76kETZvpou6fXugRw+6uD/7zNe9cpmjISG0y+zs4SoPPURZtS+9lLJzM5o0ob+VlY6/V15u+7mGPl9ZScYK9hkzo0h0ISQkRAkJCfF1NxRFUZSpUxWFrnB6pKUpysGDvu6VgfniC0UJCrI9aYCihIcryi+/aNJEWZmiDB9evwlAUZKTFWX/fk2aCQwGD6YTFxqqKD/8oMkhKyoUZeRIx/Jp00ZRsrM1acacbN2qKNXVtq/99ZeixMUpyjffaNJEZaWijB7tWD4JCYqyZ48mzZiTFSsUJSys/okLDlaUzz/XpInqakUZO9axfFq2VJR//9WkGXOyerWiRETUP3EWi6J89JEmTdTUKMpllzmWT/PmdAtLGuDIEVpIAYqSmqooVVWaHr62VlGuusqxfKKjFWXTJk2bMxd//qkozZrVP3H9+tHEbnA00x3mzKHfPW5c/evTalWUJk1oMeOIIUMUpWlT+pyiKMrHH9OxHnig/mezs+m9m2/2vs8GRyrQOmEkBXrbNrqXWrWyHUs0HvPNwZ49NLCwEzVokKL07cv/j4tTlMOHvW7m+uv5ISMjabJs04a/1rs3KQkSO0pK+KCuKLTSYAo0W/0dOOB1M7fdxg8ZEaEokycrSrt2/LVu3RSlvNzrZszHwYOKEhOjKBdcoCjFxfRaTo6itGjBV3/79nndzF13cVmEhSnKlVcqSkoKf61jR0UpLfW6GfNx9CiXBaAoffrQGMf+b9pUE+vDAw/wQ4aGKsrll5OewV7LyFCU06c1+D1m5O+/FSUpiU5Uz56KMnSo7WC0Y4fXTcydyw8ZEqIokyaRTNhrKSmKUljo/U8xNXv3Kso55yjKsmWaH/qpp2ztWhMnKkqHDvy1tm0VJS9P82b9n8JC2oFgJ6prV5LR+PF+MyFoojuwG3z8+PrGbAYbV3JzbV8vL6d5YNgw/tq+ffTZ4cPrH+e99+i9xYu967MfIBVonTCSAs04dMh2kfnMM77ukcGwWmmwZSfoqqtIQauqst3uuuIKr5pZvpwfqkkTRdmwgV4/etR2ETNvnga/yWyMHk2TwokT/DX77a5x47xqYv162/Xq2rX0+okTpJix9x56yKtmzMm4cfwE3XMPvVZTQytAQFHOOENRtmzxqom//rJVnleupNfz8siwwd6bNcvL32JGJk3iJ2j0aBrb7Le7zj3X1kjlJlu20GYpU86WL6fXCwsVpVcv3swdd2jzk0zJ8eOKct99ZEW1WhVl2jR+4gYP9ko+27eTUsaUs//7P3q9uFhRzjyTN3PLLRr9lkDEC/ns2kVGJ+Z08NVX9HpJiaIMHMjlM2WKJj01F/ffz0/QwIGkNFutNMb5CV7rDo8+Sr9/4kTnyrOiKMr//kefu/1229dffplef+cd29cHDaIL8q+/+GvV1TRoNGumKPn5nvfZT5AKtE4YUYFWFFLWmHdydLSiFBT4ukcG4scf+eCbmkozFuPkSfI9ZO///bdHTVitpEOww/zvf7bv//03X9w0bUrNSv7jt99st+jVi5SCAkVJTOTvM6uEm1itthvaL71k+/62bXxxExmpKMeOefxrzMfatfzEtWplO6EWFyvK6683PKG7gNWqKGefzZt59lnb93ftokgLgP4eOuRVc+bizz9tPWnUg0tJCbeutm5NLqoeorY1zp9v+15WFnfwCQuToSouU1amKJmZ/MT+/LPHh1LbGh95xPa93FxFiYrixo+sLC/7bSZccf/95x+6AT77zONmmK0RIBuKmkOHyMmKvS9duVUcOMBDH8LCNPF08gVe6Q6vvUa/PylJUZYsod1h9YNZYxSFDNtDhtDnr7mGFOYZM2gBOmQIva9m0yZalLZsSQP7W2/x7y9Y4PHv9SekAq0TRlWgFcXWffjRR33dGwOhDnr9+OP677/yiu3utAd88w0/xJlnOjaM3nwz/4yjkJOA5e23+epu6dL677/1Fj9xl13mURNff80P0aGD4zCHGTP4Z+6+26NmzIl6ZW5vGdIItY0rI8NxmMM99/DP3HqrkG74J+qg19deq//+t9/SPeZFnOCqVbyJpCTHYQ6zZ/PPTJvmcVOBB4tDdOZK6QIbNvBDtG7t2KuVhU4CFBoh+Y+pUxXloovISueIf/7hJ65PH492oTdv5odISLC14TNeeol/ZtIkt5swL9OnuzYxZ2eTj7wXXgIi8Up3mDKFnwNHj5QU28+fPk2uWsnJtDOQnEz/O4uv2bxZUcaMoTCtyEhFOessr4xF/oZUoHXCyAp0djbf5YyN5aGKAc3hw2RyBxQlPb2+9U1RaLXBdqFDQtzOxGa1Uuw5G8uc5VPav5/vcgaIZ4zrFBUpyptvOt7JLC/nu9BBQR5l+ho2jMtHbaxVc+QIN3RHRtp6kwcsubnctaVNG2EJFhqzcSkKyaNpU/pMaKhXm6nm4dAhPugnJAhLpqPefXYWEpefT+sv5kKsQcoC/+f4cVq4NrTlW1OjKO3b8xO8bp3bzVxyCf/6m286/kxREZ/mLBa/3cjTlrw8PujHxzse36xWUpzZCV6/3u1m1LvPL77o+DPl5XQLezHNmY/CQu7a0tCi6f77eXzJqlX69tFFjKw7GAqrleKD7rmHFPnWrWnCj44mb50JExTljTc0dUOTZawkSE8HJk+m5wUFwAcf+LY/hqBNGyAnB5g9G3jgASA4uP5nmjQBbr6ZntfUAG+84VYTGzbQA6DKJGPGOP5ccjJw3XX0/PRp4P333WrG3ERHAzfdBISE1H8vIgK4/XZ6brVS+QY3+PdfXgmrY0fgkkscf651ayqpCFC1h/fec6sZc/LGG7wW9003AaGhDX9+1y7g//7PrSaysqgkH0BVfS67zPHn4uOB226j59XVwNKlbjVjTt5+m9d6nj7def1PL9i/H/jhB3qenAxcfbXjz8XGUvk+gLq0eLHmXfE/Fi4Enn2Wyu68847jzwQHA/ffz///3//cauLIEV4Jq00bPsfYEx0N3HknPVcU6lrAs3Qp1TUEgCuvdDy+WSzArbfy/92cf06eBL76ip4nJNAw6oiICGDGDHputVIVx4Dngw94HeKrrqJBxhHdutFFDbi9fpMYhLIy4KmnSJEZNQp4/nngzz+BwkK6cVgJsC++oPsxLQ0YP55KN3qLZqq4pEGMbkX6+29u6ezf39e98SOOHqW4j1dfdTsA9qab+DlftKjhz27bxj/bq5cX/Q00Tp3i2/etWzv2JHCCOvO2feyzPbt28c926WJYbzB9qK6mmFoWe9bQfVFby7M+O9vJcYLaNbuxBIissgZAxuiAlk9NDd0LbMvXVc+Z/Hy3SgE8/DA/54891vBnDxzgDgvJyW7dpubDauUpyi2WhrcUy8p4iZ5mzdzKLDx/PpfPww83/NkjR7jDQuvWAV6xw2q1TYG9c6fzz5aV8Sz3YWFupcp+7jnnsc/25OXxDdfY2ACv2GGfWGbzZuefrayk2LknnjCs65jRdQefsmgRebhZLJRhfd48Ki1bVGT7OauV7tPFi6kERGQkTTgTJ3qVeEMq0Dph9JvAfsxpaE6QeE95OU/+0aSJa27z6oyoDc0JpufoUfdKUKj9FFescOkrFRXcrTQy0rXkeupkYx5465mHn3/mJ2LChMY/r47F/f57l5qoqrLV0V1Z+6gT6rNM3QGJOjD54osb//zGjYpy6aV0op3FMdhRU8PL8AUHu1bpT+3urVH5dv8lJ4c0qLvuavyz117LT5yLdaFra211dPvKNY5QJ9R38TIwJ+rke+rSPs64887G4xjssFptKzy4Uklu8mT++a+/dqkZc7J1Kz8R/fr5ujdeY3TdwadYLDQ3/fmne98rKqIcRm3aeJX4KSBduEtLaRffYgGuv77++2Vl5BmVmkqebamp9D/zCDEjFgswdSr/f8kSX/UkMPj2W/IwAcibpFmzxr9z7bX8eUDL5777yDXniiuAY8ca//wVV/DnH37oUhO//AIUFdHz8eOB5s0b/47aBTKg3YQ//ZQ/nzSp8c+z+BHA5fiElSuBU6fo+SWXkJt2Y0ybxp+/+65LzZiT+HjyB01IACZObPzzeXnAl18CVVUuxyf8/ju5CAMUmtKmTePfueEG/tzF29S8pKYCd99N7oiNcc01/LmLF/aGDUBuLj0/7zwgJaXx76jl8/HHLjVjTr78kj+/8srGP6++xz77zKUmNm0Cdu+m58OGkSd/Y1x1FX8e0GFEavk4ixuRmIO//iLX7L593ftedDSF92VnuzYHOsNj1duPmTmTJ++1z/pZU8MTB119NSWPZZnchw/33LXMH6xIx49zN62MjAB1cywpUZQePRTlwQcVZccOYc2MH8+NpK5WICkooE0ggDLaBqR8ysspKQRAf11JflRayrNIxcS45H+oTl65bJlrXTt9mueVad3ar0pNakd1Nc841KSJa54ClZXkdwiQnFyQqTrBqqtJP8vK+GUQF+d1BS3/p6bGNV/c6mpKxteqlctpzG+/ncvngw9c605lJb+1mzcPcDdhd6itVZR27XiWPBfcme6+2+1NUaWqinsjR0U5zqhuetTu2xaLa2Fb9vJxwZ3pgQe4fN5+27WuVVfzZGJhYQFcklTtSmmCuoX+oDsEKgG3A/3nn8CrrwLz5jl+f+lSShx0++1kzL3+euDll8kQvHKluXcuEhKAoUPpeXY2JVEKOJYvB7ZsAR5/nATvKtXVdOHcfz+weXODH62oAH78kZ7HxQEjRrjWRPPm/LMHDzbajDlZsQIoLqbnY8e6lvyoSRPgoovoeVFRo8kjqqqAZcvoebNmtEPjClFRwMiR9PzoURprAo6VK2nHEgAuvJDOfWOEhQEXX0zPS0uB1asb/HhtLU+uExkJXHCBa12LjKQcIwDtXq9d69r3TEtwcOPJ3QBKwrJxI3D4MPDaa41+3Grlm0BhYXQZuIL6s4WFdClJXCAoiN8/NTWNDjyKwuUTHMyHxsYIDeXNlJTwBH4BxY4dwJ499HzIECAxsfHvBAUBEybQ8+pq4JtvGv0KG98sFn7OGyMkhDv8VFUBP/3k2vdMRVYWsHUrPe/fH2jb1rXvKQqt+x58kHY0Jf7JAw/QbnR+vu3r1dXAoUOaNxdQCnR1NSnEY8YA48Y5/gxTkO++2/b1G28EmjY1twIN2A7WLozz5mPbNv7c1ZkLINfT4cOBp59udABeuZL0BICuRUcJvp2hzgTNlLyAglkeAFKgXUWd4vz77xv86K+/cvf6iy6iLKeuou7S11+7/j3TwNIuA8Cll7r+PbV8GsnGvWYNZagFgNGjaVx2FfW4H5Dy8ZTkZFIEXODPP0nXBsigFB3tejNq+ag9MQOGhQuBhx+mi7y62vXvTZtGi5MTJ4Czz27wo1u2UIEJgKasli1db2b8eP48IOWjnnTVJ6Mx1J9tZHzbtQvYuZOeDxrkmo7OUK8PWIb1gGLdOrI6AO7NP5s3Az17Ak88Icuc+DPLl5MRsUUL/trmzWRISUmh2F0tLbO+3gLXk/nzyfXowAHK0WHvwm21kotfmzaOvz9kCL3vzHU2Lc35A/APNwx1ttqAzcZ99KiiLF3qXqKqw4f5ievbt8GP3nIL/+gXX7jXtUOH+Hd79HDvu6YgM5N+fEhI/UyLDXHiBK/32K1bgx+dMYOf488/d697J07wbMKdOrn3XVPQtSsvSOpGxlmloIDHj7Rv3+BH1dm3XXUPZuTn8/LuKSkBGAbx/feUmV4gavfThQvd++7p04oSHk7fbdUqAOXTv79w99O5c3kTr7/u3nfLy3n4W4sWAZgtfehQfvLcKYhdXc2zhjZy4p58kjfx/PPuda+ykidlD0j5KArNO59/7np1AUUhN3uWlbJZM0PFj0gXbjeIi1OU66+3fW3MGFr7DRhA92DTpoqSlaVJcwGzA717N/DYY/RISnL8mfx82hls187x++3a0fsFBeL66WvS06k0HkCJRo4f921/fEKrVpSYxRX3U0abNpTc6r33GtzhVBS+sx8W5rp7MKNtW+DMM+n5li3kyh0wZGeTixYADBzo3tZWfDzQrx89374dOHDA6UeZ61twMHDuue51MT6edg0A2knYt8+97/s1hw6RiyNAF6naCtwYzZsDgwfT87176eGE5cvpr8UCnH++e12MjaVdN4DqFDNvzIDgxAnaso+PB6ZM8fw4BQX1XeRUMPkA1Jw7REXxe+7YMVuHINNTUECu8gDQtavr7qduopaPq+71jIgIPmfl5wP//KNdvwzP6dPAH3/Q88xM2s1ylZAQ4Jxz6Hl+PvD3304/qna9Vu8ou0JYGB8T8/OB9evd+74paNGCdvydLeQdERTE469Onw7QE2cCSkpsXTYKC2nAmziRvBM2bKBF+DPPaNJcQCjQikIZJLt2pdhmZ7As287CKpkrp7Ns3Pv2OX+EhHjef71hk6qiUMipxEWeeopSYTaQEnjXLh6KMWIELRjdRb0oDSj5qFcWLJjVHUaPJjet2bOd3pD79/Psp/37AzEx7jej7lpAyUe9MndXswVsL2wnAXxHj/IQt7593XM/ZaiNVgEVx8l+rKIArVu7//1NmyglcHy80zIAeXn0MQA44wyyRboLW8cCASafX3+lAHLAfcuqixQV0RoSADp2JM98dwlY+axaxd3q1SfBVdQydTK+lZby3Azp6UBGhvvNqI0ijXiLS9So56yADCA3AW3b8vIcAMmxthaYPp3+79CBQjM1GrgCQoFesICMD2+/3XC8KdtwrKx0/H55ue3nzAozlAI0p0u0Q61QeTIHA7bykQqaGzz4IG2ZPPGE07o63jYB2Mrnl188O4Zfol50eHLy1Nv9TuKU1POepzqG+r4LKPmccQYwaxb99UQ+ERGU4K221ql8Vqwg/RyQ8nEbby/u2loqIXfzzZS0xQG//UYfAzyff9TfU4+Xpsdb+ai/4+TEqUPf3fV+YqgNuHL95gYuGDgkBqd7d8qTwwa5jz4ihY1lRwbIc4TVWPQS0yvQRUWUGHniRNqtyM2lB9sFLCmh/wsLyfOjSRPnydoOH6aENbGx+vTdVwwaxHfhA0ZBq6kBBgwAbrtNqNlWPaE1kuvFKf36cSOOesFqaqxWnp25RQvaSXYXF5IgeasDAkCfPnznesUKvqkUEEREkGv9WWe5/90ePfiJW7XK4YWthYHjjDMo+z1ACkVNjWfH8Tu6dyfXtS1bXE/9r6ZLF37imCJth1o+nirQnTtz+9aqVc4N2qaDWQvCwmwXfK4SFATceSfw1luUCMlBEjItDFAZGdx7ee1anhDT9DD5BAd7dv+kptIOGECu4A5OnFo+nho4EhPpVgWoTO7p054dx++4+GJKpvfpp559v3VrGiMBcrFnmUQl/sNdd1F43siRwE03Ad9+S55tao/DEyfcywzbAKZXoAsKSIn+6CMa9NljyBB6/5NP6P/nnqOYur59yTixf7/tcSoq6J7q25cn+TMrkZEUYgqQcSEg4ji3bKG4l9df9y7Vel4e1aCYObOeJUa9cdOiBekLnqBeXx09Sm7hpmfHDp58YOhQlzMCu4OicPnExpIi7AkhIXx9lZfHXY5Nzyef0KJj/XrPYlaCg/mFfepUvTp66pCSqChysfeEoCDuJVBcTItMiQtYLDyAvKiIxkw7mI4RHs5D2j1phikP5eWNVp0zB0eOUI4HwNZC6g4WCx94qqp4KmcVTD4hIVyUnsDkU13daNU5c3DyJB+P+vb1LLYHoBAIgKx2zJdeBZOPWpSewGRbW0u72qansJDSji9aBDz5pOfHYSfdagV+/12Trkl0ZMgQYP58uujffpuM+XPm2H5mxw7PQpgc4PEqVFHIWjZrFo33bdrQwj4mBmjfHrjsMuDNN3k5C1+RkED6jP1jwQJ6/9xz6f/Jk+n/q6+mv88/b3uct98mgyF73+wEnJuwehXgifWf8eqrVD7h5Zdpe0vFli1cBxwxwjsdMKDlw6xfnqIoVMfFLoPUzp28hPHgwe6VF7Mn4OTDCA+nLURPUa/q7dyEs7MpsRRAXjKulDB2hto9Uro5uoFaPnbj24ED3PA8YAAZYj1Fff+sWuX5cfwG9WLdm/HtjjuolFxBAblaqDh2jA95Z51FNe49RS2fgFDQ1FYcb+Sj/q7diVMbW3v39iy/A0OtfNvdpuZkxw5utPVm/cYMHHFxfDEg8S8eeIAUz5UrKeksc8cAaDdw40bPPOQc4PY2QVkZ8MorpIAeOMC97CIiSFktL6c+ZmdTOdw77qBaqnffzXc19aRJE8flYnNz6W9Kiu37115LG5CvvkpG9qFDaVB7/XUa+6ZOFd9nI6B2L161ipKwmRr1Kk2LAZgdU2VxUU9knrpvO/r+mjXkeW5q1IsNb+STlUUn7+BBSvj23nsOm/BWR1cvYH7/vX5deYkT7BXoW2+t+1dL+ahvU5a0x9Rs2EAZvVJSvDuO+sJeudLmwtZKBwRsb/GA2AjS6uJmJRocoL7OvZWP2rsg4OTjqWsFQBf26NEkgDFjbN5S6+jeTHFAg3ZIczJoEO1C//lng0lcG2XkSEr936WLEC83iU4kJNDDnuJiqkDhSCn0BHdqXi1aRDWSLRYq9zlvnqL88kv9cqxWq6Ls3KkoixcryuWXK0pkJJUFnThRUfbv16T8ltc4qgPNOH1aUWbNUpTkZEUJDaW/s2bR657ib7XcKisVJSKCzlFamq97I5jaWiqayIon1tZ6fqyyMrpoAKpZrOLSS3l9x23bvOtydTWvx9munXfHMjxWq6K0bk0/NiqKfrynVFYqSpMmdKzkZJu3Jk/m8lm/3rsu19bysp/x8QFQz1arH1hToyjR0Q4LAV97LZfPqlXeNWO1klwAkpM3t7xf0KkT/dj0dO/uH6tVUVq2pGO1bGkjn5tv5vJZvty77lqtNK4BVLbTmy77BT170o+1WBSlsFBIEzNncvl8+633x0tPp2OFhytKRYX3xzM027ZRUeZx4xTlxAkhTdx7L5fPF194f7zu3elYQUGKUlzs/fEkvsHfdAfdueMOWhD4YJHlloll2jSKO9u4kUqpPvwwufLYl2O1WIBOnWi39qOPyHXopZfIUumk+oXupKbSUPXOO/Xfi4qiXCv791Mo0f799L8nJYf8lbAwbszOyaFYW9OyZw+vazp4sHeWx8hIipECaLfzv5T6isItzNHRtl4lnhASwssaHzrUYFlj/0d9AQ4c6F1NuLAw8t8991yq9a1KhMQ2GZo0IRc6bwgK4h43J0/y8tWm5NAhsvqPHQt8/rl3xwoO5hf2sWM2FzaTT1iY9x5YFguv111YWC/c2lycPMkTJcTHe3f/WCw8+Dwvz+bCZvIJDvY8Pl3dDJNPaanDcGvzoI4nVyfS0xj1TrEW3oBsF7uyMgDyCHTrRgmKvvzSux3OBlB7CLBr3xvYMaxWXl5cIjEdr71GnlGJicD11wPff0+Kmw64pSn89Re5ZTP9wFWio6n+cnY2ZcOW+AfqQfyPP3zXD+GoZxdvV372x/jv2Lm5PH5zwABtvIPU8jG1G6paPlqs/JYtowQOjz1WF+i8fz/X1fr39y6+lhEw8tmwgZSpZcuoTJi3sPuneXMynoDuHaarnXmmNkk0A8YNdf16/twb91PGgAH8+X8TQ0EBGdUBSpDvTXwtI6Dkw2LhtJDPsWOUiXvKFFqwgaqNsFuza1dKYuktASMfHaioIO9jAMjMJF3AWxzcphKJ+ThyhBJu9elD1Qcuuohi2C+/nBKbCkxD79Yy3ttdmYgI2pmW+AdqXcXUmVDVCpoWyQXYDhpQt3hVnz+tcgEEjIKmtXwcoLWOAQSQfPLz+a6ZFvKZPp12TPPy6oL51PePlI+bsJU5YDs2eYqDlblWOZbUBIyCppaP+tx6SlYW1YJ+9926kowbNnBnGykfA1BVBWzaVFe3atMmvmmm1fimXmeYWoF+7z3KAvzii5rV95X4EQkJtGb44QcqUfXee1Tj8vvvgSuuoPcvvBBYuJC8sTRERslLnKKeywNGgfa0dpEa9Q70f6UqRCjQ/frxkmqmlo96gdlAkhxvUF8CWugYAHWVecuaWkG74QZSonfvtk3P6ynt2gEdO9q4aagvAS2cRAAyCLOdbFPLR+v758wzuWz+szyp7x8tdECASrKynWxTKwBq+bjr3ueIPn34wPPfiVNXTNJq/unYkWeK3rDBYdl2c/DDD3Sdl5drczyrlRL69e1Lhg7YXt9auG8DVK+blW1XOzmYjh9/BD78kFzsjx/3dW8kviQ6GrjySuCzz0hZ/vpr2onesIHWKW3aUAbRl1+uX6vYA6QCLXFKXBzQoQM937SJYp1MR2Uljz/r2JHcRr0lOZn7YG3YAFitdQpuUJB2m6gxMbTIBOgnlJVpc1zDsWgRWRUffpivCLTAaqXaVTU1NgtMreTTpAm5swLUTHGxNsc1JEFBNFgIShQhwgkhLIx7VeXk1KUrMBeKwhW0uDjvs3ADpNV260bPt24FSkqEyCc4mNszDx82cR4OFkAcE0P+u94SGckv7F27gIICmxhlrWyQFgvX90+eNHEejltuIatQmzY0Z3hLUBAv9ZedDeTl2chHq/vHYuHGrPz8elUbzQM7eeHhFJ8gkQB0PVx8MbB4MRlWVqwAbrqJJvs77wTS073eMHNLga6sBO67j+799HTgkktI0ZeYFzaYV1VRqT3TsXUr953ScuZi22RFRajYugfbttG/XbrUT7rnDWwBY7WaONFO+/ZUcmrePO2O+eSTFAjYpQuq/96Gv/+ml9PTtdXR1YvVTZu0O24gYbVyHbBtW1rHaoVaPqZMhJSby+uZnnkmd1nxFja+Wa1QNv1dp0DHx2ujozPUQ7J6o9Y0HDnC3U779NGudI7ajebvv+uu7agobhTXArV8TJmo6uRJXvO0e3ft5HPxxbRT9vLLQFBQnXwiIrxPMKrG9HHQRUXcMtCjB1lFJRJ7goIo0dirr5Klb+NGUma99CpxazS45x7g00+B664DZs4EWrem5+PHAzU1XvVDYlDUBhpTKgCi4mtVC5jDX2+siz/TwkNcjenlI4qICJp8ARz9blPdOKp1iLXpFTRRZGUBs2cD55+PY8+8W5cHRMrHTUSFP6hcjfN++aeuiIGWOjo7HsOUCrQo+agmhtOr/sbBg/xlLcvbml4+oaHAG28A115LO0Zacd99wAcfADNmoACxyM6ml3v18i5Jvj1qO4op1wfM8g0IC++SmJC+fYEnnvC6/IZbQ+lnn9E9P2sWMGMGJXrMyiID3VNPedUPiUExvYKmVqAFLWBK1/zj6GWtmzGnfEShyoh4ejWXj9YKmjqk0ZQLzIcfBkaOBB54QNsEHSdO0KSyfDlKflhT97JIBdqU8hHhuwvY3j+r+CJWysdNampoy9Fi0UU+WoRYq1F32ZQ70M2bU5zyokXA3XcLaUKtA2q9PujVy3E7pkE9vml9cUuMj4/dot1SoCsq6qfXT0yk5HeLF2vZLYlR6NmT7yiYUkFjq7LQUHIB0grVzBX+L1fQvM1kb88ZZ9RVYjKnfF59lcojaZ1dkwUnAwjfKU6B7tyZYqEBkyoAv/xCjyef1HbrpEePuoFHyd5X97LW8snM5AnETSkfUTuc3brVyTviX74y13oTKDmZl939808TJkIaP55io4qKgNGjtTtu5851GfLCdohToFu1ApKS6PmmTTzTt8R1ROqAsbFAWho937LFhPKRCnRg42O3aLcU6GHDgHfeqf96u3Yy+Z1ZadaMx0ypw4VNQVERJVkBaMGuRXFZRnw8BWwCaHviH1hghcVio7dpQmQkz5vx77/aJQo1BOXllOxh7FgqS6AlMTGUphRA21NbEIRaBAVpL5+QEG40yc01WaKq6mpg82Z6nplJqzWtaNoUWL4cOHgQU9r+Uvey1js0QUF83XX0KCWrMg1WK7eqJSVpU1yWER5el0gsIe9fRIIyGGqtQFss3GiSnw/s29fw5/2WZs1oMNeKkBCyrgKIy9uDZqAMhiJ0DCbzkhJKxC9xg5ISFP/0B6JAMSoi5MPmn9JSYO9e7Y/vU5gC3aSJrJEbiPjYLdotBfqpp6h/06fTYt1qpV3pl1+Wye/MDFu0mi6R2D//8C0NEfEz/81cUdZipCEHnTqRXqA1TD61tSZLJLZ5MzeZi6j//J+XQKS1DB2wBx06iJGPelFkqjjb7dtpAgDE3D/nnova1u2wbTvtRKen891iLTFtHPTu3agLHhexMr/mGij33Y/rIj+GFUFo147vFmuJuuv//OP8cxI7VO5OPbFZbTPUFLVRi9nTTEFhIfDrr3W5MjTnySeB6Gg8/ttADMQ6YTqg2uvNVG7caoua1sHjEv/Ax27RbinQnTsDq1bRTmS3brRhFxUFfPwxKdESc6KeIE01AKtne3WwkFaojtkL/2i+e8YwbRx0hw7AJ59QfO348dofXyWf3vhb891nhlo+pjJw6JDAJSuLl2cTJR/1rW8q+YiKf2bceSdyb3wS75ZfhkpECJOP+rimko9oVJpTb/yNvn21TfDGMK181qyhuvbNmwNPP6398ZOS6gz4PbEZvXrxcCwtMW0ctHqxI923AxMfu0W7bbI54wwqyr5nD21ANGtGmf60LM0jMRb2Ctq0ab7ri6YkJNANuGWLtvHPDDsFrUmfCdq3ARMr0C1bAhMn0kMEqgVmL/yD2p6ThTSjvrRMtcBU/xhB2pPaxiVKQVPLZ+tWMW34BLV8tE6+4KAJPeRjqh3OOXOAL76gRdVjj2m/PWynQEcI0jFMKx/1ZJqerv3xVTdML/yDSkHyMe0OtIx/ljz1FDBwIJVqnDmTXDiqqnRzi/bY56FDB23rCUqMi3phZCoF7cor6aEoYrLT/KdAVyMEMShCdzFrWPToQZbr2lqTyUc0dgaO6p5imunUiXLUVVebWIH+L95SUxQFlg8+wAvYhDBUIbnn69q3AQrfjoykkHtTyUdtDRAhH9gqTCJskACQmkoG+uJik8ln0yaKidqxQ0y8XrduqAkKRYi1Gr3xNyIFeUC1aUO2zrw8k8lHff+IsA516oSakHCE1FSiJzajRpAOmJhIMjpyhBRoRRHjiaA76otNhAehxPgwt+jp03liS6uVBqRly4Q375YLtxYJikyV5ChAiIkB2ren51u2kCJgKiwWbYtjMpKTcXWXTYhCCW7D68LG+MhIqoQC0FpM3mMukpiIU2FtANAOQM8eYlL8hoZy+ezezcOG/RpF4QvMtm1pwtIaiwVDfnkEd+IlTMUS9OgmJoVscDDQvTs9z86mZEimgMknPp7SJYtoYrMVGcjCZfgUPbuIyTBpsXD9/+BB1NWc9ntqa2lwiInhqay1JDwc+5tRorfO2Inencq0bwOwSY55/Dhw7JiQZvSH3T9NmojZgQ4Jwf5mNPB0wB707liqfRv/wXahi4qAnBxhzejLtm30NyxM7uYFMswtetcuiif+4QfKlte/v/Cm3dIa0tOB117zTIHasoVKdD33nPvflfge5iZcWckTV0sapqbWgs+ye6MK4ejQgcIdRMEmyNpar2vDG4MTJyjD4p49wmpvKAqwSSGrRiwKkVixX0g7AN+dM418Dh6kJDuAsN1NANik0IXdFGVIqhCXQpbJR1H4usyvOX6cx4CdcYawLafLV1yPLLTHp5iE9ApxF7Yp3ex/+IGsNZs2CZPPJivdP8GwIu20uBNnujCVkhKypgG0syUiOBnA30pPAEAQFHSoECcf07lxV1TwlO9dupAhShLYdOgAXHopMHKkbjHFbinQI0cCd9xBpbZmzAB+/50UKmfs2we8+SYwYADdwFu2ACNGeNtliS9Qr5G3b/ddPzSjulp4UdG9e/n9ISo+kMF20ACTyGfNGop97tgRePxxIU0cOgRsqNZnZWG6BaZaixHku3viBLCugsvH8o+Uj8vExtIE/frrwE03CWmisBDYUMLjzIK2bhbSDmDiRFVhYWJSY4N0wNWne9b9H7RdnIJmOvmoJ1FBBsLKSmB1Uc+6/0O2bxbSDmBCBXrnTm5YF2jAlRgcH7tFu6VAv/susGED3Yyvv075l6KjKfxg1CjgiiuAceOAoUMp7qJ9e+DWW6kk1+OPk8Fo8GCP+yrxIf+V/ARgkh2ahx6ii/Tcc2kwFoB6DlYruCIwnXzUqzBBJ2/zZmAzevIXBG5tmU5BEx3//F8TW6A6cQItQ6aTT1gYMGgQcMstwAQxyQu3bgXWoz++wKX4vz6PCI1DNJ18dGDHDmAbVGOnwInBdInEdMgfsHMn94ACIPTE9dBnGNUPHeQj8QN87BbtdhKxvn2B5ctpd23hQuCXX+i+t5/U4uNpN338eHpIDwv/xnQ7nFu2ACdPAitWCPOt3r4daIoS3IkXMfXH7UBJmrDi7t31WSfphw4K2ubNdgtMgRe2+ieYQgHQYQd682ZgO1SWISkfQ7FlC7AOg7AOg7BgOgBBScQAMhAGBVF+GFMoaDqwbRu/f8qi4tEkLExYW506kc2mqsok948OCtrWrTT/WGFBEBShF3ZyMpWcLSkxyfpNKtASgLtFz51LCYEnTqSSjeHhjj+/bx/w00+0G7xxI+WemDXL4+Y9zsLdvj3XBcrKgMOHKQtjZCRVB2rd2uM+SQxISgofgE2hoMXF0YVaU0NJkASwbRtQhTA8jMcQtrYaKO4uTIFu3Rpo0YIS7JhqgoyKAtLShDSxeTOwD+koRwQiUSH0wo6PJxkdPUo/ze8zobJVcni4sAQumzcDB5CM04hCM4gdeKKj6TLLySH5WK1i8gqaCT1KjDEiI+ky27WLdlarq/3cKD9pEl1kPXtSnXsBg8HWrUA+WiIBx/HJNwlCw+fCwigUdfNm8jQsLyeZ+S1qBU2QB9S2bUAJmiELmeiAvdRmba2QeOugIKrqs2EDjXElJTS1+i2RkbRuO3xYvHufxLi8+y7FEz/wALlFv/46ZeLu0oU8TGNjKV4+L48GplOnaPGVmEhu0Xfe6VzZdgFNlghNmpBC3b8/bUZI5dl8WCzcTTg3Fzh92qfd8Z7336ckO9nZwjSZ7duBaoRhj6UjvZCTIywhlsXC55EjR/w8U21REV1kAFmXBWky27YBVgRjl+W/FNlZWUJTmLON2vx8mvf9lrIyckECaFUW4rEdtkFIR7dgh0WfgYfJp7SUDNV+C6uD+dtvtHAQBLOhBAXZhpCIgsmnqornD/JLamuBb78FPv8cWLJE2PzD7E0nkaCLjqFOlLhjh/j2hKGuMNCuHVmmBcDkU+dlU1EhNEW2+h71+0SW8+dTEpO8PFKGJIELc4vetYt2k7t3p5tr+XLgk0+onNXvv9NnL70U+PBD4MAB4P77vVKeAY0UaElgoJ6E/XqCVNO8uZDDlpeTPgYAz3f8H81YBQXCsnkCJoqD1sE9q6KCJ1k9HPvfibNahaaYN00c544ddK4AYe7b1dWUgB0ADjVXDTwCV36mkc/u3cDMmcDZZ5N1XgBqJSkzE2gSVkNBnSdOCGkPMFGiquxsbqgTNL6ps8m3bk0OV6JR3z9+Pf8cPEhGXECoezA7R/sieCI+kQurbvpEw+hLixZ+7sol0QzmFv3XX0BxMc2D69YB//xDOxbHj1Nll8sv18x9SSrQEpcx5QAsiH//VSX57t+fCr4L2qljmCZOXYf42t27uQ6Y23UMcPvtwIIFQJs2QtoDTFSKRwcDR1YWzwtSkqp/HLRf3z865A/Yv5/XM58e8wnQtCm5zX32mZD2ANvxza930HS4f44e5c4Henm4mmaHUwf55OeTpxgAlKWpFGiBA49aPqbZAJFIHKGTW7TYFb3EVJguUZVA9MzA7agdv5aPevUlyDdUvYAoHTMRuG+ikHbUdFWtkwQlftcHHS5u9SUQdEY34J///hF4Yavl49cKwJAhwP/+R4rA8OFCmlDfP806twP+rKJ/BCoAXbrw534tHx0UNPVt0i8zD7htDsmmd2/ghReEtCnl4zpq+YT07Aaw+UDuQEskfoNUoCUuY5oB+KKLyMWja1dKgS8gxlZ9fvSIDwRsFQC/VqDV2mXnzkKaUC/w1As/kXTowDMJ+/UCs3VrKlm0a5ewk6deR8YO7Q4s/e8fgQNPRgZ5dlVX+7mBIyUFuP56oU2or9/YId2Ad//7R+DAk5JCuYPKy/38/tHBQKgWQ8eekcCNb5BLVGmpkPYAct6Jjqap1a/lo4OBUK2jJwzuAHwWQglNBSrQiYlAy5bkmeDX67fbbqNi1mecQYmgWrb0dY8kAYp04Za4THw8z9fgtwqaogBr1gCrVwPffy80QRWjWzdQIoM5c6gwuiBiYqhcBUATZJ0Lub/BVl8JCcImR/U6RW14EElEBClpAClozIXc77j3XlrAlJQArVoJaUK9AM8cEE/XAiB05RcSwhOK795N61mJY9Ty6XBmDJUDAYQOPEFB3J6WlQVUVgppRjzs5IWHC6swoJ5/uvRtwgeeggJh8rFYuD0tN1eori4WJp/gYGEVBtTy6dorjNxNATJKChp41IlgjxyhS8Ev2bgR+OMP4O23yVVXIvERUoGWuAUbgE+eFJovRhxHjvAEIQK3Htk6v0WL/8Iv5s8H5s0D3nxTaKZnZjAvLqZcKH5HXh4lewCEyocp0JGRQGoqaFF57BgVthe48mM/qayMEkH6NUFBwhK4MPmEhlKSqrqB5/hxGnwEweRTVeXnmbgFw+QTFPSfjsEGnqIioSnmmXysVp5kzq+oruYZ7Dt0EJYXg3lQWCxUoxlff00lXLKyhCZdUg/ZfunFUVvLU7xnZlJ9LgGoDVBdu4JbcauqePZRAXTVJ1+ZWNj8nJrq57XSJP6OVKAlbuH3iarUs4YgBa2ggK8hu3X7b73CFABFEbqy8PtEIepzI0g+6gzcnTv/54Rw111k6Rg5UmiKX7VHul8uMHWgpoavYTt0+C9hpk4Dj9/HcZ44AaxYQYZCQTuNViu/dtPT/1vD6lQCwO/lk5XFdxgFjW+KwosJ1OkYXbvq4urq93kEcnN5djyB8mH3T9u25PaOyy8HHnsM+OoroYksTRGGt2MH7RD89JOveyIJcKQCLXELv7cw1zP9ao/6vNQ1odPMpVbQBFZkEocOCrQ6A3edfJiLIyAVtIbQIS4gO5tn4HZ4/0gFzTkrVgDnnksr8+efF9LEgQPkQQGozpc0cLiGDvkdDh/m5dIFNeEUv5dPYiLV6H7mGWDyZCFNnDpFWbgBlXzGjwceeggYO/Y/jVoMplCgAaBZM+72LpH4CK8V6N9+A8aMoRC10FAKG7F/CK7eI9GRTp34c79U0HTYgVafl7oJUqeZy+/lo0N2L4dNnHkmcP75wB13CA2K9vsF5oMP0sLl4ouF+dA6vEV1SmHu9/KxCU4WE7/p8P7RyXJnKvkIGt900NGd4vfyiYoCLrwQmDWLlFoB+FI+pnDhlkicoXNcqVeq7bffAuPG0W5OcjLQsaNUls2O3+9w6rCAUZ+XOoVWp617tQLt9x4COmR4rltQ9OsH/PijkPbUqOXjlwvM7dvJDTUrC3j1VSFNOLwE2ImLiODb0wJo356MvrW1fiofHVbnDu+fjh35iwInhrQ0yr1VWSnl4wyHBlyAKk7s2EELtgULhLSdlEQ6aEmJn8pHB9SXgHo+0IMWLWiz68QJHiYjkZiGpCTy4rjxRuDss4U355W6++ijlGPh66+B887TqEcSQxMXx0sh+J0CrSh89ZeURG5AAnA4QbZrBzRtSgkwBJ64mBgK5T161A/lA/BVF5vpBTYB6FfCitG0KZXj2b+frhNFEZrTR3tCQijzqcXCMy9rjEMFLTaW4hOTkoRlzgdIOcvMpMXlzp2kSAcHC2tOe3TI8Ozw/omKItkcPCj0wg4JIV1961ZygKiu/i9G3l9gk0NQkDAXVKcK2ksvUXxE06aUzFLAfWSxkNL+55+UhK+sTCZKtsepgaOykgaeHTto91tQArNOnUiBPnqUcv7FxAhpRgy33EIx6l26UN4SgXOBxA/p0AH47DPg888pLO/GG4GpU4Xlf/Dq6tuxA5g0SSrPgQablA8d4rFWfgGbMQChmhObIJs2pVBEAKp0qKCVhcAaLKyZkyfJ0OE3FBfTRQXQykJwhufISGE6RoOwS6+oiC5Jv+LLL+mm37tX2OKFKWghIf9l4GakpOiyYGKL2ooKMnT4DTpleGbyUQ9pAPg/BQW6ZEqvqRGasFh7rFY+OWRmkpFDAE43uZl8Skt1yZSuKH62y6kowPvvA3/9RVvognBq4Lj2WqBHD+DKK4Ve2Oo2/Uo+AClHixcDL7wglWdJfbZtozK1kyfTWnLWLNq8uuoqel1jvLoCo6Joo0gSWPjtAKxD8d/KSl7+pmNHuzGenTirVegEqV40+ZV8mjShGo9LlgB33imkiaoqnoG7nnwAWkQdPSrUMuT3cYJBQf/VZtMedRWZ9u2FbcI0iN8mStQpwzO7ZlNT7XYXZRx0w+zfz0sYCgx+ZddsQoLd+kwn+fhtJu4jR4Crr6Z8GJddJqwZJp+YGKBVK9Ub6jAIgRO3Ts1oz6lT9ACE3j/Hj+uSK1MiikGDgHffpfv5hRdol+TDD4Hhw2nyeOUVoLBQk6a8UqDPOYfqmUsCC79NVKWD725WFs/wXC++SacT57dx0CEhtHiZMkVYApecHFLSANuFBAAadJs3pzIi334rpH3AjxUAHThwgDtn6B0fyPBb+eiQwf7IEb4556vxzW/lo8P8U1BACgDgQMfQaWLw21J9Otw/paU0xgEOnKwGDQKuuQZ4/HGhCqLfrt90yB9QVkZGjZgYcgiQ+DHNmwMzZ9K4u3IlcMUVtAC8805yDb32WvI28QKvFOinn6bdnPnzpcUmkJADsHOcxjcBPlGg/Uo+OqBOHF0vSXHz5uRGDgg9cX67wNSBBuVz5Ahw333AJZeQZVkQfisftYImaHxTy6eeAUonBU3djKBE8GIIkPlHfV34lXwyMoBnnwWuuw4YMUJIE+od33oGqHPPBZYuBR54QKj10G/XBzqMbywC5vRpvhHi9zz1FMXatm9P3mONhfaUlQH3308uRuHh9Pf++3ntQnu2bgUuuojylDRtCvTvT6FeRqJ1a7KMNG1KymplJd1r/frRZo2HO9JeJxHr2hWYM4fCEnr2dJyQwGIBFi70piWJkfDbTNwNzl7a4DADt6MXdFLQ/Eo+OqC+BBpUAOQCsz4zZlB8QpcuwCOPUAyPxjSooFVXU31WgCaVu+7SvH3AVnFnCyq/QIcdNJcVaIH3T0YGiV9R/Oz+CQ2lzrN7SAANZnjWST5pabRGr6nxMxfhtDTgnnuENuHLElaMlBSeyd6v1gc6G6DqjW/+yuzZtDnQqxe5DzWUn6K2Fhg9Gli1isIZhg6luOLnngM2bAB++cU2q+aWLcDgwXRB3X03EB9PeQTGjwfeeQeYNk34z3NKdTUp8m+/TTvQikJCffhh8nL8+29aT3z1FVX3+OADt5vwSoFesoQ/z8mhhyOkAm0uUlMpNrGqys8GYDabx8UJC95vUIHOzCQLoDqZjADatuUJv/1qB+2tt6geXteuNMsLoMEdzrQ0WuRWVwuVT4sWdAmeOuVnCsAvv9AF9csvwJNPCmlCveCuJ5+kJMr8Vl7ufLLRgKgo8uI/csTP5MN2aIKDhWV4bvD+Yb6PRUVC75+ICBoecnOpP36Tyf6OO+hRUSEswVuDOkbLlrTAPXlS6MQQEkJ2gt27yQBltcp8T4wGPQR0gg0PrCJhTY2flJ/VwUCowx6L/mRl0Q0JUBxwQwr00qWkPN9+O8UKM9LTyR363Xdtfdtvv50Wmr/9BvTtS69NmwYMHEgK9fjxpLzrSVYWKc1Ll9IiKziY6i3fcottaauzz6bH2LHA99971JRXwxpTmht7sKRKEnMQHMwXT3v38rw1hub0aZ7yWKBpkU2QQUF2GYQBWvmlpvIPCop7UGfHzcmh9ZrhKSujAW7MGGDiRGHNNKgAhIZyoe3Zw4OlBcD0m0OHaP4xPOoMzx07Cqvt1KB8goKAn38mzemff4S0b9/2iROa5RsRS22tbYZnQdnXGpSPeuDZv9+5y58GsLYLC3leIb8hIkKYxtKogsZePHZM6IXNptjycl5YQeJiDejyctrZEzgxsLarqmg49QvYyWveHEhMFNKEKXegmfLsCu++S3/vvtv29RtvpF0Z9j5AF86aNcCwYVx5BmhsmzGDDKnLlnncbY8491wS3HPP0XrukUeon59/7rwudJ8+PHTPTbxSoFNSXH9IzIV6ABa4GaQdDfoeaoOi8AE4LY3WSfVgJ66khLa4BKFTwm/t2L2bGxQElhhjFubERCf1L9mJq6wUWsNIrXz4hXx0yPAM8Nu0eXPapa/HoEG6lLNSb+D6hRv3/v3cUqbD/dOkCe3S1+PKKylOffFiYX0AbO8fv/ISEIxaPu3aOfiATm7cavn4hRt3WRlVgPBwIe0q7JSHhTkpofjII6So9OwJbNokrB9+Fwd9+jTVmAeElrhk16rDDRAf0rqmhnaBnT20QFEoqVabNvWVtogIoHdvKvDO1mkbNtDfgQPrH4u9xj6jF7/+Srvsn31Gc+KcOU4mKhVjxwKLFnnUnKarkOJiusYFj0ESA+B3A3CDwa/a0GCGWoYP4qD9wo27XTueQGXsWCFNFBfTxgvgYPeM4YMFpl8oaDrEn5WX8wy1HTr41i3X7xQ0HeRTXc29yVg+mnrMmEFJa6ZMsatxpS1+Jx8dqKnhxuz27Z3cPzolyPC7PA9//00JhWJiKGZUAFYrL6GYkeHECaFVK66g6CQfv1i/6eD7rs6pwPJnBRT5+eT14NDyBnq9tJRS/QPctcTR59lreruf7NwJrFhBruOuesl1707zlQd4rUDX1FA4XGYmJWFLTaW/mZk0j/qFe6/EbfyuFnRkJGUHjI0VpkA3GP/s6A2Bmq3fKWjx8byExyWXCGlCfR6cKtA6WR78TgHQITgsK4uvHX3tPiflUx91CTin949O+J183nmHXAWvugrYvFlIE7m5fL3lNARe7kA7Rj3WO1MgvOTQIe4k4lQ+Omm2frd+08FAePw43wARlELCY46GhJD10tlDC1jIjTPLAXOpZJ9r6PNhYWTBExjG45ANGygreENs327riu4FXinQlZXkcv7QQzR4JyUBZ51Ff3NzgQcfpPerqjTpq8RA+J2L47hxVLQ8L49S7gugwfhABpu5LBZesFMAficfHXDJCUGnBaZaPn6hALh0cevQRFkZuQffdx/w0ktC+mHfvt/JR5D1QYcmXMbv5LN1K+1yfvABX6VrjPo8uKRACzQQ+t0OtA4GKPU87JJ8BGq2avn4hYeaDjvQLsnHzDCPocpKx++Xl9t+rqHPV1aSNVygF5JDpk4Fvv664c8sW6ZZkW+vFOgXXgBWrwYuuIASgObmko6Sm0v3/kUXUYy5wJKdjbJnD7nBDxwIJCRQhtXu3clLh3kiqHG3BFqg4rcKmsUiLH5SHcvqdADu04cnCHnsMSH9AGzjd/xKPgJxSUHTaQdALR+/WGCqOykoOMwl+VgslOXzmWeADz8U0g+AwsrYMOEX9496se2LDNxqamtpu3r1aiH9AChZP8uT5hf3T1ER96kWZIBySQFITiZvLEDo+JaQAERH03O/2OHUwUDoknzatOHlAQXKp1kzHhrqF+ObenHlS/mYmRYtSOF15nZ9+DDF58fG0v8NuWkfPmz7GSNRW6tZfJhXmsSHH1LFmW++qX9NZ2RQCa6uXT0qr6UZixYBzz9PMfEPPUTJ2bp0Iffynj1tNwFZCbSnn6byZ6+/Tt6kzz1HyYEFJuX1O2JjeSUov0iCpAPqAdipjtGkCXDGGXwRI4ioKKodb98vQ6IowA8/2CaqEoBLa6ToaL6yELiAadqUzy2Glw/AT17btkLqP6ubABqQT2SkLpns1Ul+WKkkQ8NOXnw8X+AIagJoZA3bty9ZIM47T9ikGRzMx1hWKsnQLF1KOzj//ksyEoBLCkBQEDcSZmcLcw+0WHgz+/fzzSvDwi7uyEga4wTgknzUJy43V2gJDXb/nDjhB3mLWPB4cLCwrMQBr0BbLDR2HzlSP4FqRQV50PTty5XPs86iv+vW1T8We419xkjs3avZHOmVAp2dTQqnsw29oCDanWbXvi+YMIEMJB99RPlNbroJ+OQTci8/cICUY4a6BNq77wLXXw+8/DIp4CtXauY2bxrYIHPwoB9MkDrABuCICGFzsFsw+Rh+gjx+nAaS9u2FxT8Dthk2G6zswNzoTp0SWiOHKSGnTlH+DsOSn8/Pg0DfXZc3UZl81KXpBMDkc/q00GgLbVi8GHj1VXKXEoRLLsIAtzzolMm+spIn6DU04eFCMwi7lOMB4C6wtbVCrd+sD4ri2zVgo9TU8A46zY7nPS4raDqV0FD3wdCbIIrCO5iSIqxEX8Ar0ABw9dX09/nnbV9/+23ymmTvAzTODxpESpM6Y3xNDdWQbtZM6Hqujuuu4w+AXLjVr7HHlClUyuqjjxxnDvcAr4oRhoU1XqqutJTKcfkKdXkyNRMnUr6ibdv4aw2VQHvwwfo1xAOd9u15lvrsbKBbN9/2xym//EKC69SJag2PG6d5E7W1PJdDZqbwKjsukZnJvSizsqgKgSFRa06C3IPVGTbT0hqZgzt1onIIrG8O6yl5T/v2vJm9eykJrCFxeWXuHUw+7drRDr1TOncmjwWAAvgaK1PhIe3b82b27KEEuYblvPPoIRAmn7g47n3kkOHD6Ybr1EloKlv7OOhAL5fJbtPo6EY2ue3jbAWVPVPb2nbvNvD6QJ19TeD45rKBXacTZx/mZdj1walTfAdAYG0pJp+QEO7kZAree48bMvfvp7F5/nz+/kMP8efXXkuKzquvUtjJ0KGUv+H114EhQyjGWM0rr9Bnzj8fuPNOmhw++IDKXS1YIMwbyoYlS/hzi4WSNDpL1Gix0ELrxRc1adorBbp7d6pP/eijQMuW9d8/dYre79HDm1bEwFz0ExLorzsl0JwZkBsqx1ZT46RsgR9jHwdt2Aly1y5yQzh0CJg0SUgTBw9yb7hGx/g9e6hO3a5dwOTJwKhRQvpkLx/DTpA6xJ8dO8Zz9zTahH0isUGDhPTJXgEwrAKtg3zy8ujhUhP2C8xzzhHSJ3v5DB0qpBm/oKSEz5mNymfGDHoIxj4R38iRwps0LFVVfI3stIQVg5246Gihrkl+k+hNh/GttpZvcjdqYPdBIktD70CrOyfQwM6aSUsz2Vp94ULaJVbz8MP8uVqBDg4Gvv8emDePXHU/+ohiAe+6i2qU25eG6t0bWLuWdhiffZYGou7daX07YYK436SG1e5TFFLCZs4E7rij/ueCg0mhb9A67x5eXSa33QZccQW5uT/0EBmeW7WixerKlWTkOHmSjBRGoraWG2CYQYWVQOva1fF32rWjhGgFBY1Y3wMI9Vhm6AG4spJunIICYS6obrn/7N7NB620NN0UaMOiwwLGrTLgOtUA85sFpvrk6ZDApdEmdLqw/UY+OqA+zb7OwM3wG/m8/z65MnTsSG6EArbK9+3jceCNzj8XXUQxCfHxQout29u5DIsO88/+/VRHHXBBPjpl4vabRKMFBbSzeeqUMAX6yBGeKNh07tsrV7r3+agoStL5zDOufb5HD+C779zulmaox9M5c4ARI3RzR/JKgZ40ieLKn32W4oXtURTg3nvJXdpI3HEHxbjfeCO5xAPulUBzpkA3VI7Nl27sovAbBe3uu8mCduoUTw2qMW4p0DqdOL+Rj84leNxS0ASuzP2mVrdRSlg5+oBUoGl3gSWHEqQU6XAJuI3fyGflSp4xfswYIYs7t+afqChhiQDVqPNMGDoG2igZuBmZmXQPK4pulSAMvQEyejTtxBUW6pI/wHQKdCAxZ46uzXntqPD00xQnvmgRuZ0XFQExMUCvXhS3PWCABr3UkIceInf+Sy8FXnuNv+5uCTSJHyloAA28grKfAm56GaWnU2xDhw6NZLPyDr+xMDMre0SEsLIHbm2iJieTxau6WuiJS0sjr6LaWoMrAKxzAoPD3PIQaNOGBuKyMqHySUoig2plpcHlc++9wMaNNMaVlgrJ8O+RjlFbS0neBN3TiYmUp+b0aYPLR2cDlFEUgGbNSEbHjxtcQTOaAs0qDeTk0MDYUNygFzRtSt65R48afH3AaN5c2KFdKkEqMR7XXUf3xhNP0GDDEok1hsVCru1eoomn/8CBmiU1E8rcuZQ4bNw44OOPbeMc3C2BJqHxjHnW+MUALBC3JsiwMGD8eKH9Aeh6btuWrl3DLmB0yoDq1iZ3SAhw1VWk0AsM7A8NJSU6K4uXShLoUekZViu/uNPThbnSuLWGtVjIOrR1K7n9CEowERREl+T27XSJ1tbWDwHzOerseCkpwsrjua1jXH45ZUOtriZDh4BkYhYL9WXTJsoDVVkpNGeZ57CT17o1aZUCMOoOWmYmKdDHjpFtR8PwQ+1g8mnRwnEyHw1wWz7t25MCXVxMu68sWY/GtG9PCjSr1CHIQc/wGPX+kTTCkiU0Edx3HynQ6oRiDaGRAm2AXMH68Oij9Bg/Hvj00/rrQHdLoEkItst5+DB3gw9E2AAcGSksKbBHMPmcPEneIYZDpwyoTEePiHBRPosWAW+8QVnbBcJ+cmmp0IpMnqMODtMhA7fLm9xslVNTo0uppKoqKntoOKxWSvjCEpIIgsnHYnHRaSY4mDRaq7Xh2CYvYfIR3IznFBXxGmg6ZHh2uZkVKyjR26hRVJtaEIZ34y4v5zXQdJKPywq0oy9rjN+4cQtGKtB+Sk4ODfwsg3NOjmsPjSYLt8z2Pt4t95h582j3eeJEyrDubLPi6qup7M/zz9smPnNUAk1CtG8PrF9Pz7OzKQGfofj+e+CFF2jb8dprndc18wJ1CauMDGOUsGK0b88TMO7dK+Tne4cO8c9WK0/UmJ5uLPl06ECXKECnwkjGFwCUwKVLF1pdCZKPovD7JzXVxc1k+wWmoFAI+3B4VuLYMAQHA7ffLrwZtrhOSnJxk9v+xLHawxqj1nl27xbWjOfoVAKONdOihYtJTjdsoFI1ALBjh7BSVvYK2hlnCGnGc9Raow7yYW7TjWJ/4gRVgrDPxG24Sh2FhZTNOSODqi0ISqjE5BMWRhFcEj/BPp+EzrUM3VKgfbxb7hGvv05x5UlJlIvg449t34+KAsaOpefulkCT1F/HGk6B3ryZrO0rVlB2PgEa5IEDbmTYZBw/TtaavXvpQhs8WPN+2ffHkAq0Dhmejx0jLxKg4VJzvsA+EdLw4T7rimO6d6cFdm0tP4kac+oULzHmsnzsL2xBmezt5XP++UKaMTSFhVSlAnDDTuGDRImG3OHUYXxTb6K6PP/odOLUeqAh5aND/HN1NTfgNlpijOGDHWhDhuFlZfH1GyBEgbZauR0lPd2AYToSw+KWAs0GAVYEnv1vZP78k/4ePOhYAU5J4Qq0uyXQJH5QS1CHGoIeuf9s2sQng9mzdVOgDYcOCxi1t47bCnReHrkwJyVp2ieG37jQBQcLC2BUzyMeK9CCMLwLqg5I+XiBDuOb+ne7PP+MGEEG3PbtaTdEEIYf33SQT24u2R8BDw0cgezCrZ68Ba3fDh/mtmHpvu3nfPYZ8OabwHvvcUVVzeHDwDXXALfeSpmkvcQtBdrHu+UesWSJ6zvlgPsl0AIdw1sw1Z0S5OapbsLlMV4ny4NUoD1UoI8fJ3/QggLg4ouBZcuE9E19SRoyhlMHPJKPVNCIXbso8VFcnLAEHWr5uOzCrpN81NeLIeVjtAzPjLg4cqsTjPr+MaSCZlT5pKYCkyfTgqJ/fxHdAuAH67eJE4Fzz6WLxyXfd/eR8c8m4p13aM3mSHkG6PXCQvqc3gq0Pe++C/Ts2XBcy7ZtwD//kNIvMR+GV9DYrN2qlbAMqB6VQEhN5TWMdFIADL2AadlSWAZUjxS0+HiePEugfJKT+WVgSAVABzyST2IiWTtLSoTKp00bXsrKkAaOCRPIxT4xkRK+CQjw90g+sbF0P+flCZVPfDy/DAx5/7DxLShIWPyIkRWAFi3oUigoMOj8M2UKKc579hjLQy0sDHj/fSH9URMVRUujY8cMKh+ALqKzzhJ2eCPfPxI32bYNuPDChj9z5pnAd99p0pxXs+3UqVSpoiG++YZiiyXmJCaGl1c2nAJdUkIzAyBscgQ8HIBZDSN2AEXRvF8AJfxhZVgNJ5/SUl43TmACF48UgKAgYNgwSlwycqSQfgGUMIt58mRnC7sMPKOqCujRg0oXvP66sGY8kg+rYQSQjyRLQqAxar1n3z6KlzMMtbV81duypbDseB6HQLDB8NAhYSUa1FnB9+/nCf0NgbrEWFoaKUUCMLoCwKbegwfJEGUohg+nEKrFi4WFqBhdPqxPx49TKatAw+jykbhBfn7jJd9Y7V0NEJ6PtrZWln4yO2zQOXKEdCLDoN6S0EGBjox008uInbjSUq7oC4A1k5dHOwGGwaPgPffxyAUVAH76CfjlF+DllzXvkxqmAJw+rdm4rg379lEWxS+/BNasEdoMwyMFzWLhhhgBMPlUVBis1NiBA1wjEWiA8igGGtAtTIXJp6bGYKXGjh3j2fF0MhC6Nc1t3w689hpwxx22yc40hslHUfwjb47W6LQM8RjDJ3oTjFSgTURcXOM7RXv3As2ba9KccAV6715y4ZGYF8MOwDqMjDU1fFGQmenmJpAPMtUaahfaI99392ELzFatgCZNhDXjMYaNgz5yhNeU0kE+LVqQR4vLPPYYXdBlZULrSxk2zlbn+ycqitYnLqNWGnUKUzHU/aOOrxUoH3ZNxsa6uS78/nsqgfbKK5TUUhCGT1QlGHZNNm3a+OZYPSorKc8BS7MuAMOuD0pKKNnTiy8Ca9cKa4bJJyyMe+tJ/JRBg8jtedcux+/v3k3va5T/we0YaPvaz19/TR509tTW0j2/ejUwZoxnnZP4B/YVMQxT61GHDNzqElZuN2E/cw0dqlm/1NgvMAWGE7mHDvIpK+O7hoar4fsf9omq+vXzXV9sOPtsXiMnIkJIE1VVfG3odoioTtsF9vIRdJu6jw4KdG0tn9/T0930JvNRordzzxXWlHvoIB/1/eN2jkydDByGNbAfPEgJhdLThblvW638/klLc/P++fVXCh+yWsnN/IknRHTRuAaOrCzgjTfo+bXXCqmFrfaKSE0VFgUj0Yt77iGPucGDqXTSqFGUOOzwYfIonDePdr3uuUeT5txWoNUZrS0WKrO7ebPjz1ostBh88UWP+ibxE/xih0aQguZVlQUfLDANtUNz0UW0bZKdDfTpI6QJtXHPqxw+VVXCYhgNe/8AtAMt0PJw4ACPKzZajW6GYTNxq8c3QRUGDh/mBkKvDByBmCldJwOux/ePD+RjKAVt4ULg0Ufp+fffAxdcoHkTR47Q1AF4IJ+kJC7cQKzUocP9c/IkDzs06vwjcYMzzySjy623AnfeSQ81wcFU5kqjXQq3FWhmrVEUuuBmzqQQGnuCg2ltLMiwJzEQhlXQPKov5R7qmC639QydakioJwZDyadzZ3oIxKsa0EVFZMHcu5dKiWiUudEewyoAOuCVfHTCsOObzgZCoypohjVA6RD8qm7CbflkZNAuh6IEZq1hdWcE1WT16v5JTSV3sfR0SmgpCMPOP0Yf3yTG5IYbaAf6jTeADRvIy6R5c1rD3XyzpmtOtxVo9TgzZw4wYoR/1IOWiMOwChobgBMSgOhoIU14NQCnpNAOX01NYC4wdcAr+URHUxKtsrLANHDogMcJ3hiffQZs2ULZ8QRlCk9N5XqGoe4f1pnwcGHBe17dP82aUXmt48eFl4Jjw6ih5MPmn+BgYypoERG0y3ngAMVrK4qQjK+JibSRUlpqMPmccw7JJitLmJeNV/IJDSUFQDDNmlEllZMnDTb/SAVa4imdOwOvviq8Ga88/ufMMVA8mMRnxMVRghnAQANwaSn5TwFCU196NQCHhPAvZWUJq5ETE0MJmgADyUcnvJKPxcKvnX37hNXIadaMJ5cxzAKzpgaYNIli75YtE9aM1wuYZ58FHn+c3LIqKjTrl5qICAqjAgwkH6uVdyYtzXglrBhsF/rYMWE1cgxbCq68nP6mpJAyJAC1fDzy4mfyKSykMg0CUA+jOTkGKjV27bXA0qWUoCoyUkgTXhsIdYLd24cPCxtG3UeHEBWvPAglAY8MmZd4jcXCB+DcXEo843N0qh3BBmCLhXZC3IYtYMrLucIvADb/HDzIY7J8Sl4esGIFFW8VeMF4XIKHweRTU0N9FQTr25EjfN3tU/bvBz79FHjqKeD994U1o5mCpihCrUPs/snLI89+n3PkCF/p6mQg9GiBqXMpq5IS2kkzBDt3kiF3xQphTWh2/wC6xEEbrtSYYLyef3RC3TdHSYF9AlvDxce7WZ7BdeQOtMkpLqZFryDjrVsK9HXXAdOmkUcW+9+Vx7RpIrouMRJs8KmuFlqS1XV0LvHSrh15UrqNznGCiiJUD3SddesoXW5qKmVGFIS6REWbNh4cIFATvelkgGK/NTiYvEnd5vbbgW+/pfIUAmvtGi5OUAf3RsD2WkxN9eAAgXr/MJo08fDEuQa7FkNCPPTi90EmbkPFQQvG6/uHUV0NnD7tbXecYrgwovJyvpAUtPsM+I+HgMQNamqAJ5+kQSc2lm682Fj6/6mnNHWBcSsGeskS2mm77z6Ka1Fn5G4Ii4USHkrMi/0Cxudx8TosMIuLudebx9ZL+wXmiBFe98sR9nHQOlUAco4O8lFvSnrs5Wovn1GjNOmbPfb3T9euQppxHZ0UNLZDk5zsoZdr//6a9scZ9vLp3VuXZp2js4GjbVsPK5n17QtceCHdRwL7aW/g0Omy8Cnq8Y2l03AbnQwc9gr0eecJa8o1Tp+mAUdQeT4Gk0/r1mRLcZu//qJQmv37gVmzSDEQgOEUaK/Km7jfTMuWwja5JXpSWQmcfz6wZg0pnklJdPMdPUquFQ8+CPz4I7B8uSZVVdwactlih8WDqd1TJIGN/QAsSA90HaNn4GYE6g5N377A3XfTard7dyFNnDhB+b8ADQ0cgjD0DqegHYCCAgq9BIzvPheI8lG7Q3ssn5Ej6SEYw8lHB/Ly+Kakx5eAD8Y3Q6wbX30VeOghWsy+9x4wfLjmTZSVUeg/4MX6IDaWT9iBlMhSBwNuVRXf5Ja7zybhhReA1auB0aPpudrDJjub1pzffkvv3X+/1825pUDb7yr6fJdRYhgMmek5KopWgUbO4OiDUi+GmCCHDKGHQPxJPoZTAGQGVBsMN77pIB9/id8EDCifxx8nGWVmAjNmUKZAjdHk/klLo/iJ2lrKxC0ItYJiiPmHZZs7dEjY1qM6lthj+figUoch5GP0GuoSY/Lhh+S+98039V0OMzKAL78EevYEPvhAEwVaSBKxvDzg669pp9wwGRclQjHcAPy//5GP9bFjVANOAJosYJKSuCuJLGWlKZrIJzGRp5gPJPmwBUxEhIfB442jmQL999+0i/TMM173yRmGNXAYtUSSzhju/vn2W4pxe+ghD32rG8erGtCMsDCe/VJgCvOkJLpUAYOsD3Tw4NDk/gkJ4daHrCxh8mnbli9DDCcfacCVuEp2Nu0+O4vXCwoCLrhAs0nCKwX6jTeAfv2A/Hz+2j//UAmu8eOBMWOAgQMpEaXE3LBaqYBBBmCAOpSYKOzwmrhwBwcDX3xBsU5//KFJvxzRrh2PMTWMfASjyQRpsfBd6NxcSuYigFateIycz+VTW8snmIwM45ZIYtxyC3DNNZScQ1AK8xYtuB3O5wqauiC1TiWSvF5gKgrFoQm6f6Ki+FDvc/kAvBPt2ulSIskr+TAFUp3UQ2PUpcb27TNAqTGmoCUkANHRQprQTD5s/ikro3tIAMHBPMmZoeQD6KJASxdukxAW1rjCWVqq2Zzp1croo49ofclqzAKU5yA/n0rsjR5NesFbb3nbTYnRCQvjWXR9rgDohGYT5IUXAn36CJvIAYNNkGVl5DonqO41Q/MFZm2tsBTm6lJwOTk+LgV3+DCvdWbUGupq1H0UGGBpmFJwJ0/y4Fd/kM/DD5OG26YNsH271/1yBpPPsWMGMNrv20e7CTqVgPNqE1Un9wqmpBQXU/4Dn1FWxktG+kOGZ/U9roMXVGkp5Q/xKUyBbt7cVsHQEH8KUZG4SPfuwOefOzcEnjpF7/fooUlzXinQWVnAGWfw/0+dAn77jcpWvfMOeTGdeSa5pUvMDxuEDFMrVTBsgoyMFLrRrRlMPiUldK/6jFWryNrStCnw4ovCmtFsAaPTApM1U1VFOqzP8EGJJE0MHIAu8rFafVwKLiQEePZZ4KabyPgmCM3kExHBs/npIB/AAEbcZs0o1m7YMGFNCFHQBNaYMkyYl04ZnjVT0HSqpW4Y+VRV8WLhmZnctVFjpAu3CbntNrL+nHUWsHgx3YTl5fR38WJymT55kj6nAV4p0AUF5AHDWLuW/o4bx18bMsQgdWclwjHMALx4McUPzJwpLDGK1cqThKSlCRvjNcUwcYJsEVBRISw+HeDXYHy8lzl81IssgSfOcPIBdFGgY2Io2azHqDUnnRaYPpVPixbAPfcAb75JdbAFoZmBsFMnyoY6erTQ+91QCrQOsGvQ6xI8Ohmg1PePTzNx6zy+hYV5mUYi0BKN5uZy7zQd5BMczL0nJX7OpEnkBp2TA1x/PV0/UVH09/rr6fVZs4CJEzVpzqvsFrGxtjtZq1dTuNzAgfw1i4XWyRLzY7+A6dXLRx3ZsAH4/nt6fuWVQpo4epRKzgEaWC+Li4FffuEFmseO9bZ7DrGfIH1WK1WHBC4VFXwX1+v4Jp13OFkzPisFp8MCs6aGG1a9NkD5SD5mxmrlSo7X8hk/nh6CCST5VFbyEjxezz861ZgyTCZu9cUhaP5R1+hOS/MyjYQPDLg+lY/OBo6kJGFpJCS+4OmngUsuARYtAjZvJnfYmBhSSK67DhgwQLOmvFKgO3UiN+3HHycrzscfk8u2OpQzN5cS5EjMj2EGYOb+A/hHBsfjx/kCc+JEYQq0YXZodJgg9+/ncd6aLjADwQVV/RsFyefgQR7n7Y/yMbuCpqmBUCcM4yGwZAkFYmdmkieUgCRi6vHNax2wQweKvcvIoHTMgjDM+kCH+efECR614LUBV13KKhBcuDUL7ndOQQFQWEjP/WV8k7jBwIG2O7mC8EqBnjGD1v3t2tH9XVZGyj+jthb4/XddfofEABhmAfN//0crwOxsXRJQaDJBslqcgeCCyhqPjARatxbShKYGDlbjo6oqMBQ0dg2GhgrzbdNUPomJFE9fWhoY8tm1i6zSOoQ/AP6zwDSMfBYtAtasoefFxUKa0FQ+ERHA8OFeHqRxAsmFW9MEVSyFeXY2L2UlIGbMMB4Ct94KXHYZr6MuAJlATKIFXinQ48YBr79OCcMsFmDyZOCqq/j7v/xCrpTnn+9tNyX+gGEsmBYLBR0Jql8LaLyACQsDnn+egnU7dfLyYM4xhHxqa3nj/pIgJDiYVhe7d/NaqQL6nZJCrn5Wqw8VAEXhC8y0NF68VWM0lY/FQtrT1q3k8lRTI6T2rtqO4tPxbfBgytTYowe5qAlA2AKTbZsKuH8SEnSxozQOazwhwcvkC403AfiPAtCiBZ2O06cN4mETEyPMwK65ASozk/pdUkLb2wKylkZHA3FxFJbp8/VbYqLQzKz+aCCUOOC66zz7nsUCLFzodfNerzJuvpkejjj/fB+XK5DoSsuWBpkgdUDzAfiOOzQ4SMM0a0Y6+smTPpTPwYO8Fqw/ZHhmDBxIE3pGBmV1ZEWbNYSVgtu/34cKwLFj3PfQHzLUMpgCXV1N15iAwp6sFNyePULtKA1TWMhLdAha/AMC7p+XXwaWLqUTt3Ej0LGjBge1xd6OUlsrzP7jnNJSXiLJn8Y3HWCl+rZsoTHOJ/KpquLJF/zFgAtQX3/6iZ5nZwtTLtPTSYE+fJg2vyIihDTjc2QNaJOwZIln3zOKAq2muJjHawssaSsxKGwBs3kzzVGCNoIMgVoBYPWV/YH0dFKgfTZB+luJJMaiRRocpHEyMujeKSwE8vOF6kiO8Vf52PvvCloVZWSQAl1eTqkLdM/vUVlJ2USzs4VmAdRcPidPUl1kgPouQIEGqK9bt9Lcc+gQeXXoik4lkjQPE923D/j5Z7r/J0ygci8CYAq0z+Sjc4ZnQKOhyL7UmKC4yPR0sm8pCs1Dgm5TnyNduE2CT2NBNFCga2qoJOXChfXjQq+/nqptmFWJktQnPZ0U6JoaYRtBDbNsGaWDz8ykTHyC3LjZBJmQQFny/YX0dEpSrii0lhDoMe4YnRQ0NhaFhFCOBn8hPR349Vd6npPjAwX6yBHuR67DAtNi0WgRba9An3uuBgetj30YhO4KdGIi8L//CW9GcwXAB6XG9u3zgYKmQ4ZngMsnNFSjvF/r11NdcYCuMUEKtH2crVnlo2mOFEC3+8c+kaXuCvThw6RQZGQAgwYBvXsLacYfPTgkDtB9ALHFqzrQlZW0TnnoIVqMJyVR/eqkJPr/wQfp/aoqbTorMT4+j7P96SfghReAW26xzcatIRUV3EtPs8G3uhr491/gm29IwxWEz+WjQwkrdQmR1FQfuAl6gc8T7UyaRNuru3fTc0GoS4iEhWlwQB/UsjVzmAr7ba1aaRSt4INSPD65f3QwECoKP4WajW8+MnDojs4eNl7X6GbY70ALwufy2b6dwj1mzAA+/VRYM+y3NWtGMpJIPMErBfqFF2iz74ILaO2fmwv88Qf93b0buOgiSkb5wgvadFZifHw+AOugoOXm8uea7bDv3Al07Uq75m++qdFB6+PzUkk6LGDy8igOHxBkXa6pEXBQwuf3D0AabYcO5F4hgKIiHsarmXx8oED72HtMGGVlVMQA8G/5+Hx8EzT/nDxJodaAhvLp3JnmnZ9/Bh55RKOD1sfn948O809VFXnfARrKR12M3cwKtA4lFGtreRi81zXuJcalpITChlhFBAF4pUB/+CGt+b/5htZbajIygC+/pPc/+MCbViT+hM8VNDYAs5SSAhDi/qNTjSmfl7Jik39YmDDfaiHysVqp1EubNuRaJgifL2B0QEj8WXIyjxUy8wKzokJ4E2oDoWbyad2a10MOFAVakAIgpExudDS5cJ97rtDqFT4vlaSDC7e6RrdmBvaICMrKO2ECGdkF4fP754oraFdu0SJgxAghTRw+zPOYSvdtE3LoEHDppUBsLNC3r+119PvvQJcuwMqVmjTlVXRydjZw++0UMueIoCDanX71VW9akfgTPh2Aq6u5aTEjQ5hpUYgCEBVFsWfHj5t3gamuz5Se7h8lkhhBQXTgo0cpdkUQPl/A6IAQ+YSEkD9rVpbQFNk+VwDS02kLpX9/yvcgACEZalkK5h07qAFBKZhTUqgpdRiHrrDxrXlz/ymRpCPqhJs+kc+oUWQsOHCAjDoCECafH37Q8GCOaduW4uqrq30kn9hYYMgQegjCn+8fSSMcPUr5G44fBy6+mEq+/fEHf79fP3rtk09oQ8RLvNqBDgvjrkTOKC2lG1ISGCQnc4OK7jucBw7QwgzQJYELoHGSNNbno0cbv7E8hNWyBXwgnyNH+A6aP2V4ZmRmkpGjUydhO4EtWvAKBrovYPLzgcmTyYXzl1+ENSNMPuz+KS2lSVIArBQc4AP5lJbS2HDiBPeBF4DQ+wcgH9fDhzU8MCcigm+g6i6fykqed0OgAdcfa0AzIiJ40jOfuHDfdhu5Tv7+u38Z2HWCleoDuB3SbMgSVibm0UdpfvzlF3KBHjnS9v3QUDLOrF2rSXNeKdDduwOff+58Lj91it7v0cObViT+BKtlC/hgAaNzBlRAkAJg34iGBAXxCTInR+cJUof4JkCgfH76ieokr10rrP4X26gDeCk43dizhxaXjz0GfPGFsGaEG6AAodYh1mdWCk43hPjuNtyMsPFNBy+bkyd5LgRd8EGJJE3lk59Pro0LF1ISG0Gw++fECQpTNBv+vsPJ+lxaSveQ2fBnA4ekEb7/nnaeG9pdTk7mWYC9xCsF+rbbaBA86yxg8WK6MMvL6e/ixbRbfvIkfU4SOLBBqaCA6tnqhg4JXACBJZJ0XmCWlQnbqHOMTvIRtoDRyZWG9ZnVStUNf60BzbjuOuDrr4Ft24A+fTQ8sC2sz6xWqm7oXAIO8G8FGtB5l9Pf75+vvqJ4weuvF+qB4vNEYoIRvsNZWyvUMuSzPCmnTvFEdiyLoQD83cAhaYDjx4H27Rv+TGioZh6eXinQkyYBs2bRIHj99TRnREXR3+uvp9dnzQImTtSkrxI/QT1p6DpB6rDDqY6tS0nROIzP7KVedF5gtmihUQkRnfFZnO2ECRSj+s03QhPVsN/UtCl3h9aEPn2o3926AeHhGh7YFp/Fqet8/4SFaZxPyuyZuHX2gIqLo5ACzTC7geP0aZ49SiBMPsHB3BtPE3JzKXyoSRNKPiQIn8ln61YqP3reecBzzwlrRj0mqGPyJSagRYvGdx327KH6jBrglQINAE8/TeEk114L9OpFN1+vXrQZsHYt8NRTWnRT4k+YeQEjtESS2ReYw4YBd9wBjBlDCwEBCCkhojM+k09EBGWovOgioSVEWJbn9HT/LCFiZgVabSBMS3OeINQjzD6+6SCfykoePu6v84/PDISPPUaZ4DMygL//FtYMUzqTkzV2WoqLI9f6qirdKg2Y2cDepo2wSCyJrxg0iDYAnLlW7t0L/PijZhnevcrCzRg4kB4SCeDDAZhN+mFhPFOJxgiNn1EvYMxYimfUKHoI5MABHoaouftcTQ1w4410nSUmUiZHAZg5E7cZSoiY2UB44gSFdgAC5MNcdmprpQLgIeoSSZrLp21b8tyorDSvfGpr6aYVlCFdHbamuXyiouigTZoAHTtqfHCOmQ1Q6vyS/jr/SBpg1iyqTjFsGPDii3wyKy2l8mh33klW4bvv1qQ5TRRoiUSNTyzMisIXmGlpupRI0lxBYz55p0+bcwdAB4TGN4WE0OCclyfMQAOYW4EWnsBlyxZg507S1DWaJO3x+QIzNtY/SySFhpISvW+f0FJjPjdwNGmimYugPULnn6AgOuiuXdSQ1aqxCwLhM/lkZgK9e5OVVVPfao7w+OesLOFuOz5bH+igQMsEYianXz/g7beppv2YMfx1VtokJIRqjHftqklzmijQJSWUf+Kff4CiIoo77NULGDeOjGaSwMInE+TRo5TBDvDPBFUATYwZGcDmzbTVUF0tJHGVVKC9IDOTFOjDh+l6i4zUvAmf1LItLQWef56uv549NZtg7BEun9tvB9asoec33MAnTg1p147m4ZoaHXfQ1CWS/DFBFSMjgxopLqb7KC5O8yYSE+m2LC/X8f6preUXg8ASVurrTYiClplJCnRFBc2pAgyFrVrxjW5d559nnhHehPD7R4eYl5gYss/l5/tIgQ4N1cXAIRVok3LttcDgwcAbbwDr19M8ExMD9O9PGa019N7wWoH+7DNS9gsLbUviWCzAzJnAggWUm0YSOMTHU4Kg0lIdF5g6lUgSbsFkCnRtLS2YBRgDYmKAli1pXNFNPiUldEEkJAhdBOiiAGzYQM9zcihmWGPCw0lJO3hQxwVMVhYwZw49nzqVyigIQBcDB1Ogs7PJkqsxrFZqVhb9HkEbqbaoa87ppEALUdAyMijLLkDyEaBAs1JwO3bQaRO0kWpLcDBlgM3O5oZcAegyvjGys4Uo0OqNbnZZ+2MuBEeYZYczPZ0U6EOHKOQ6LExwg4rCFei0NLJQCkDWgDY5hYVA8+aUifvFF4U359W08vPPwBVXkMfpNdfQmuuHH+jv1VfT61dcIbQigsSAWCx8cMrNJV1QOD6oAS1sgcnQIdHOwYM0QQrnm29o6yE6WphyBvhggSkI1ve8PNqsE46/lxhjXHYZZbb8/HOhKVZZ30+fJhkJx99r3DN0yvPAxubKSqEVcWyJjQX69gWGDBHWhPAdaJ3zcJSXk93BLJhlh5P13Wrlji9CUXsQ+vMGiMS3tG5N5aG+/54nwxGIVwr0vHm0W7J+Pa2Jp0wBzj+f/i5ZAqxbR94Y8+Zp1FuJ38AGp6oqzWqWN4zOC8yYGFovaY568tBhAaNbLVsmn5ISobWlhJUQYZi11ItOHhzCS4hccAFw773A+PGCblBC9zAVsxgIO3akA48cSTsFgjBrHgE2Fvj7+GbWMCLh98/hw1Sqr2tXYMYMAQ0QusvH32uoS4xBu3bkFn3RReQ9M2sWsG2bsOa8UqD/+YeU/d69Hb/fty/VgBZYMUBiUHyqAAhaYNbUcGussBI8Zl3ApKaSdS0zs/FC917AfovmJUQYZs2UrrOC1ratf5cQ0V0+OnsIxMUJCR+nhc2+fcDy5bZJXjTGrAo0+y1JSTqMb2YyEM6bR/POBReQb78gmHyaNaMwKc1p2pS8uf79F9i+XUADhE/nHx0U6IgIYXn+JL5k716qn3zDDeR+9PzzlNOlTx/glVeAU6c0bc4rBTo8nHbMG6JNG/qcv/HllxRz3rQpbWRcdBHVeZe4hu4KGisuq/Yf15iDB7k7urD4GbPWSr36aqq/t3cv0L27kCYKCiiJISDQuqye3M0kHx0U6JISXkLE3+PPdB/fdJCP0BrDOqP7/fP227RY+/prXqdNYwoLeYkkYfdPaioPGDfT+LZzJxmhfvxRWIWO2lruzSXMwN68OdfMzVRqTKca9+y3qC/zgCCQFJoBA4C33gKOHaNSoxdcQLvQM2eS5X7sWBqnNcCrS2jIEOD33xv+zNq1wNCh3rSiPwsXkgdgaSmF0z30EBn7Bg2iKimSxtF9glyzhpToVauEWWx0cf9p145vLZhpB0AHdJFPYiJNQoC5FpjstzRvLqxEkm7xZ8XF5B713XfCmvCZfCIjG7dae4jQGsM6o7t8Xn8duOcecrnTIQO3MPmEh3PfcB1i1AGd7x+BBvZDh8hLDRB8/zAF8+BBYQnrfOphI0iBPn6cny5/H9/cIlAVmrAwyony3XdkGX7+eQp9+OYbzTJbe5Xq7umnSdm//37g4Yf5uhIgWT36KMnpjz+87aZ+FBYCd91FeszatdyNbdIkSrg7YwbpaJKG0V1BCw6m+j8pKcKa0GUBExxM5TZiYzVNt2+PGV0cdVGgWYrfbdt4hjwBOxq6yqeqiscm+HOCKsY55wB//UWyKi8XYlDTVT61tbwRgSWSfBIfKCgFs1pHEj7/KApX0FJT/T+DcEYGWVMKCykVswCDms8UtHbt/NvADpCCKbgSRFIS7dBarTrLh63jBBCQ8c9SoSHi4oBu3eg379jBLV1e4rUCfcYZwLPPkgdT7960QXP8OMU9FxXR7vNTT9l+z2Iho4gR+fpr2sC46y7bGLB27ci4vHAhrZsFJng1BerzY0YFTegCZuZMgQcnkpJorlKvzYVhtdJNL7hWiW4TZEYGKdDV1bQLIGAwUJeCEy6f3FyesdIMCVwyMkiBVhT6bQIMUc2bk42roEAH+Rw6xN2CzWDgeOstYNEiUjp//RXo0UPzJpo0oRjHY8d0kI+iUEkSgR4pgI4eHBkZJBeAfpMABbpZM1rTnjqlg4GjoIAegH+XgGPYh3kJUKBDQymPSG6uTgYopkCnpAirmRWQJawCXaHZtQtYuhR4/33KZqwoJPxrrtHk8F4p0EuW8OeFhXzMVbNqVX0Dh5EVaGbYGziw/nsDB1K/N250fL01NKnV1AgzTBsSXRcwOmEmC2ZICE2QOTk0BwutxfnNN1RbOCMDmD1bWGF4XRU0RlaWkMlHp41uwiwlkhj2C0xBnhzp6cCmTbwUnNBaqVOm0G/p21dYE7rJ5+RJ4M8/eaMCFGiAfsOxY1Qhp6yM5iQhBAWRK96AAYIaIHymoJ15ppBm0tJIgT50iOLvheXK0Wl8083AoWOljtxcbn8QVtTg1Cleq9EMBlwBtK6pabjTzhbZ3ig0/kpBAfDRR6Q4M0N6s2a0Bp06VdMyg16pdGaJnVRz6BD9bdeu/nvsNfYZv2XzZuC992jwnT5dWDZUtoA5dkzwAuarr2igyMigEg8JCUKaYde7xSLUU1w30tPpNxUX05gjKPSVFjBFReSWUlkpqBGdXegY2dnAuecKaSYtjRRoVgpOSNkawPwKtCCYAs1qpQpb+6Wk2FqrBaGrfCwWmlAFjgfp6VRKEyBFQMBGna4IrwHN0FFB+/NPXkqxQwdBDZltfNNRPmxTLCdHoAKtUwmrgKwBHRAKjYoJEyjmubqa5phzziHj86WXUv4QjfFKgTaDEmFPWRn9dWQNZWVX2GfsaWinVUjJCU/JzQVeeIGe9+4tTIFOS9NpAfPdd+QSCNAOjSAFWl2CR2hm+Zoaaoy5z/XrJ6SZ9HRgxQp6npMjWIFm+HONboaPMqWbRYEWXkJE51rqAN0/Atd+usDkExLieL2lGZdeSpOo4Dpm9vePWRToJk2ETXGEj0pZCVOgda4xLNzArtP4Zp/ozVm5Wq/xQQ1of3PhPhoS4pkrpzcKjT/y5Zc0kEyZQpVfhE5kXirQZoTtkjoyjLMMfsJ2UvXCRwqAsAWMDgrA6dO8hJxw6+XevfxkXXEF8OGHQpqxl0+fPkKa0a1Gt/ASIgwf3T/DhglqSIcaw1YrrzRnVvn4M4rCf0NKisBwAUC3AuC6ZXr+6ScagDIyqNawgJNntXIFOi1N8P3Tvj3VTM3MFGp10E0+OhsI27QRfImzIu3FxeYoZaWzAh0XRx69AUFAKDQq1q2jcl06IRVoO9ReDZ07277HamQKNmqIRz0ymmEAXrIE2LOH/CjViRI0RFf3H7ZCUmd3FYBuCgC7xljmGAHoUqObkZxM23Q1NeaQD/sNERG0+hPAsWNARQU9F37/tG5Nv6WiwhzyER5gDeTlkZEQMI97o27ymTsXWL+enpeVCXEVPHqULgNAB/k0bQrcfrvgRnwwvgFCa9yfPEnPhcvHYqHf8c8/ZDWurhbi4qibfG65hbINZ2UJy/Fgphr3bhEQCo0KHZVnwMs60GbkrLPoL3M9VsNeE5RTQz+aNuW1RAUuMHWzMKemAuedB1x/vbAmdHX/iYgAbroJeOAB4M47hTWji3yqq/nWsFlK8ISEcB+9rCxePFdjdFnAqOuUpKdTQiQB6CqfoCDeyL593LKiMbrIR1HIX7dtW2DyZEGN+HeCHWfobiBs21aI8gzoGP+sI7oZ2Nkah+3cCkD3+Fq2U1tby+dXjdHt/klMpFjVG2+UNe61JiAUGt8hFWg7xo6ljbJ33uGJAQEy4Hz6KTB4sEkmMDYAnzjBtx40xkwujrovMN94A3j8ceDyy4U1oYt8DhzgCowZErgwMjMpaLxLF9p+EIAupeCOHOHuXWaSD/stVVXc0q4xrBQcIFA+p05RAr4jR/gWlwB0VwA+/5xi1AYOFHby2rThG/fC5FNczGN7ZPymW+hy/5SX8/vfTBmedYiDbtkSiIqi53L95qcEjELjG6QCbUdsLPDcc3R9DRoEvPYa5dsaMoQ2a155xdc91Agd4gTVCxh/z9huxgyOLVpwg7ww+aivLTMtYJYtI7/XjRuFBVRFRnKPamELGLNlqGXYZ0oXQGgoT+wmTD5FReSWFh9vrvtn0yaqzfnHHxR+I4CgIL42zMkR5ChithJJjKIiYO1a4N13gZ07hTTBSikCAu8f9YF1Gt900Ud0UKBZKUWAdnAFOfLoghkNUC4RMAqNb5AKtAOmTwc++4xi6++9F5g3D+jaleaTXr183TuN0GEADg7mnq779glawKxbByxeDKxeLWwnEDDnAGw/QdbUCGjErAqa0DTsHPZbTpwASksFNKBDAjHAB/ePzonECgupFJzmZGaSknniBPDqqwIaIMxo4AD4bykro1OoOT4Y33S5f779lnanpkwBfvhBWDNMPkVFgu4fsxo41L9Fhzw21dWCHHkOHKDd0ZUruSeHAAJ2BxoIEIXGN3ilQK9eTXkMzMiECVRauKyMFkfffQf06OHrXmmIzgvM0lJBHogffQRcdx2lKN68WUADhG4leNSwclYsfbEAmHxqagSVA9RZQTNLjW6G8DjBK66g++aLL4DRowU0QJhdgQZ0cHMUmBrbZy72gG6JLIXIR6fxTfcYaLPcP2Y14OpsgAIEyWfdOuCGG4ARI3gpUgGY0YPQLUyv0PgGrxToESOAt97SqisSXfFRrVTN0WGC1LUED2P7dvLhzcgA5s8X1ozZFjBJScITFuuKcPk0aUIT6aWXCl1ZsL4nJlIOQ+GYRQHQCdb32FigeXMdGjSLAqDzDmd8PI9LFUrHjsCttwIvvkix6oIQnshS5xJJuhnYW7fmCet0rAWtOTrLR3iNe4lv0XlX16syVuokAxI/Q6cFpv0A3K+fxg2wAbhJE2Ezl7oEj27u20lJ3KdaR/mcfbbGDbC+h4YKm7mKioD8fHqum3VZUaj8RlYWaRyffSakGTMoaGVlVIYH0FE+KSkUBGu1+vcOpw5UV5MnJaCjfNq0oTCIykr/lo8OCrS6BI9u80+LFhQvKRgzyEfXGt2MoCBKYFlaKrRWt/ANkEsuoWstKwvo2VNAA7Y17lkFSolJGTGCqvEsWKBLc15dSkOHOs6OLvEDYmNp4MrP998FTG0t3xo2S4kkRkwMWajy8vx3h0Y9c6WlCXNB9Yl7lsUCfPMNZUeOjxfWjBkUNHUEgm7yCQsjJTonh+4fRREyPgiXz5lnUqa/M88EnnpKQAOkPFut9Fw3BS0oiMbsf/+lE2e1CimhJnwHjY3NLVrQnCoAM5fgEa6gZWbSGH3iBJWDE4CuNe7V/PmncG1d+PjWvTs9BFJQwBNQm+3+kdih866uVzPW448Du3YBDz9MVmyJn8EssocO8RlAY4ROkAcP8gvPTAlCGP4un2PHaPsRMFf8GYP9pspK/js1RugCpqgIePJJKmchKBMyYAD5FBeTIUoAQu+f06eBv/4Cfv2VEr4IwmfyYS6b6i1WjRGqQFdW0hwEmCv+WUeEGzheew3YupVcYAQpmz5bH+iw1a1LKUXBBHQCsUBD511drxTop58GunUDnniCjP0XXABcey3ldFI/pk3TqrsSTWELGEURVsdI6ARp1gyoDPabBMonJYXPw5rLR+f4JkDnCXLJEsqMV1hIIQQCaNWK4uoAAfLZvRt44AFg0iTg+ec1PjjH5wo0IMyLQ10KTnP5+KAEj8/kI8gLKjoaiIuj55rLR10by4zyURTKjLx+vTADR8uWvAqgUAVNoLJpZgUtIkKHUoqCMWMFFYkTdN7V9cqFe8kS/vzYMXo4wmIBFi70piWJEOwXmJ07a95E8+bk2VZQYA4F2qcKgAD5hIdTaPLBg1I+bqNDY6zU2L//0npdU09Xs5Z4YYwdS7kEMjKE/T4mn82beSk4zWLszH7/2CeyHDFCSDPp6aQHHj5Mm8aaVaDzwf2jqwKwdCntiABUQu222zRvgt0/W7bwWsMCk80LwewKWno694IvLdUwCeSpU1RjPDOTLMVmCsGT+Ab1ru7ChZQg1dG1pZFS6tVUL2hTTKIXOmbi3rSJe1yHhmp0YJ12OH22gNFJPmlpJJtTp8jble2oeY3ZFQCdSEsjBbqigoyUbEfAa4YNI/ft7GzgnHM0Omh9fCafUaPoIRimQLNScGq3R6/wQY1unynQgvM8bNxIG6r79wMdOmh0YB942Og6/6gbEzz/bNnC7x9/K0Pos/unqIgSJmVlkdLw3ntCmklPB37/nZ7n5FBTmrByJXDZZfT8iSeA2bM1OrAtZjdwSFTovKvrlQLtbwOdxA4dM3Fv2kS7ZwcOaLgW1FlB062ECEPHBebq1fQ8J0fD8oCpqZTWOztblwVmVBR31zQT9nHQminQbdrwBYxAmHzCwjTsu4Gwl49mCrT6ntfBQBgURFlqdcMHpRT37dNQgdZ5Bzo4mBwqdMNH8tFsXfnww8CXX5Jsnn8eaN9eowPb4jMFrWlTYNky2pWorRXWjL18NFOgfWAgFNiMxAjovKsrE7oHMmyCDAsTlqQKqD8Aa65Ah4QIW/lVVJD7EuAD66WPanVrpkBPmyY8AYI6EbtuNboZVivwyiskm6goYVmS7e+fwYOFNCME+0TsAhIt+xx7+WhWCk5nA2FysobeQa7AasrU1PhnJQidFeikJJ3l07o1BcFWVOhWCSInR0NP/h07yHXn33+Bl1/W6KD1YddUQoLOBvaQEBpU9+0TOrAKy2OjswdHTIywRPkSo6Dzrq4mCvSRI5QolMUY2WOxkDFQYjASE2nGSkoSGngkJFOtovBJPSVFWHG/3Fxd8sQ4hs3IJSX+ucDUgcOHea4I3d23g4KA+fMpw3NSkm4KtD9x4gRPUO4T9/qyMjppubnAhRcKaULYApONbzExlK1MAAUF9AB8IJ+QENquz8qih7+VGmPyiYwkZVMAhYU+lA8rNbZjB504QQHKwu4fRaGAd6tV2NZ9eTk3sPtkd3PVKnK7EljcWFilAR0MUPY17nU1sEtMj9d33UMPAc8+S0ZkhnoeZM+lAm1ALBYN/Q2dI2SCPHGCFEvAvO4/FgtZZjdvJgVA0wByjj8raD6Pb8rMJAX64EFaTUVGat6EEPlUVAD/93/U/4wMYVsnPpfPBRfw+ISiIg0D/DlC5FNVxVd+Amvc+yzBGyMzk5Tn0lIa0xMTNW9CiHxqa/nBdJKPz8a3HTvoehQUoCxs/vnqK1Kejx8XamBn+OT+adVKeBPC5MM2BeLiyEgogIMHuXe7GfOjSJyg066uV6PKe+9R7P/w4ZSgccIEYOpU4LzzKD/AwoUUYnfjjV73U+LHCBmAdYoP9HmCKqZA19RoHEDOEWLgELSbZI8h5LNhAz3PyQG6dNG8CbV8NNsByMqiARsArrpKWAIaQ8iHKdDZ2UCvXpo3wUrBqd3VvSY3lxb/gDlL9DHsS1kJUKDbteOe4poqACtW0DUl0K/aUPLJzhaiQAutNRwUJMw7ADDA+KYDrJRiRYWG8ikvJ4MMYO71m0R/dNzV9SpwYsECSgrz00/ApZfSa6mpwOWXA2+9BXz3HSV5LS72up8SPyY5mYfoCFGgBS4w1c34TAFgCHLjTkzkG6eayeezzyjrWv/+wDffaHTQ+vh8gtRBPk2bcr1CM/mYvUY3Y/hw4OqrgblzhblBs1JwgDQQuo0O909wMNf79u3jITleH3TIENoxmDxZgwM6xhAeAgxB8omIANq2pef+VtnF5/ePDgQFcSOHuvS5V6hPnE7jm0wgFgCwXd1Bg2gNqijAlCnAhx8CN9xAF/Pll9PutAZ4pUBv2waMGWNrgFUnAzz/fHo8+6w3rUiEsmsXcP/9tBv1xRdCmggL4wtMzSbIQCmRpMMChtXiBGw3vrwiO5vqYm3YIDRBXSDIB+C/7cgRMt57TaDcP1dfDbz7LjBnjtAEI+y35eVpZDAOFPmw+6d1a3ITFgT7badPk4z8BUO4cDMEl7ICbCOz/AGf3z+nT9OO2+WXAw8+KKwZ9tvKy8kj3msCxYAr0Redd3W9UqCrq23LxkRGUpiZmm7dqMafxKAcPkzFx7/4AvjjD2HNsMErP58So3iNzgvMsDBuJdcVnRW0ykrg6FENDhgUxE+YThOkDuH89bF3QRWEevJXx915jA8UNDPX4NQ80U6gKNAjR5LGdOQI7RAIQlgiJMH4XD46llJkaCKft96iBfSsWTyXgAB8Lp/wcODJJ4FPPiGlQRCah+FJBVoiAp13db1SoFu3tl1sJycDW7fafubwYaEJAiXeol6cCcwgpfkEqR6ABY2MhijB46NanF5z330U41RWBpxxhgYHdAxb07VrR66AuuOv8tE5BCIuTkj+LsPgr/JR11Bv2VJYM84JD6cYBcFoLp8ffySFJStLI5cdx7C5skkTiojRnaQkvoDTsZSi16xZQ0nEnnuOEtQJwuc17sPCeAlPlsleAP6qQLNhVPca9xLfoPOurlcqQa9epPAzzj6bxq333qMx67vvaGNTQN4WiVYkJdFiICuLrJiC0DwR0nvv0QW2YAGtLgRw/LiPS/AAZKViAcr+pKAxIiOFWdCKi8lLHPChfNSaoU47NJoqaFFRwlbm5eVkQAUMEH9WUQHs2SPs8MIWmOHhwlxfamqA/fvpucBE0oZAc/nMng2MGgV07ixMgbZaubdJWpqP5MNqDQM0ZghS0DRPZMnGN4tFmOuLIQzsAFdAi4rIxU8AmstH5x1o3WvcS3yDzru6Xt3yF15IFQ6YQnT//ZSNfupUWlNecgkNMvPna9BTiRiCg8mlISND6Aij+QImM5NcNaZP1+BgjjGE+09QELk2zpoF3HuvsGaE1eIUiE6bdA3DSo0BtNoVFMep6f1TXc01p8xMYStztau5TxXocePIyNaxI7eIaYym8rFa+UHS04WtzA8c4IlKfW7gEIym8lEUPvikpAgzEB49yiuw+NT9lI1vpaUaBcDWR5iBsG1bYa5JhjCwA7p4QQnzIGzeXGiNexYuKN23AwSdd3W9mpmnTqUBhC2+k5KAP/8Ebr6ZSllNn07/9++vQU8lfo0/1ho2TAbHl18GnnkGuPZaYU34Y4ygYeTDFjBWK1dMNUbT+0cnzcnnGewZzZrxnTNBg4+m8jlyhGtOOsnHp/fPDz8A110HDBsmLGGK5gaOF16gMJWpU708mHN8nkCMobOC5rV8ioq4a5KZ8wcwdJCPpgb2ykoely7QgGsY+Uj0Q+ddXc1Np2lpwGuvaX1Uib8jpJatYAJpANZ0glyxgrIeZ2bSwDV8uJcHdIxhFAD7BUz79po30aYNhbtVVWkgHx+UgDOUfLp107yJ+HgK5S0t1UA+p08DffrQCQwE+WzfDixeTM///Rfo0UPzJpo3B2JjaVfKa/kEBwPXX69FtxrEMPOPfS3owYM1b6JVK4pWqKzUYH0QKCXgGPbyEUCzZjTGnTypwf2jLvURCPKR6MfUqbZGTbar+/zzdG+kpgK33AJ0765JczK9l4SSPf38M11g554rROFJSCAvyrIyDQbgtWtplk1PB3r2FBYDbZgdNB1o0oQWMceOaSCfbdtIRmvXAiNGaNI/RxhGPjpk4ma1OPfs4bVsPTbcB7oCLQAWarl9O60Pa2tJz/KIzp2Bv/6i59XVWnWxHobx4FA3fuiQsGbS04FNm2jzq7ra+DGRgbQDHRREv3HXLv8Z3wyjoOlYauzkSQohrawkg4dHqPsYCPKR+BaBu7puKdDXXedZIxYLsHChZ9+V6MCWLbbCFaBAs1rDbIFptXoR2vfuu8Dbb9PzjRuBM8/Uqps2GKoEj9VKM1d1tbDZID2dFOijR8nQ4bFdwgcLGLMraADJZ88eks2JE0BioocH8sEOTaDIZ/t28hI4coSM314jUMszjIFjxAjgn3/oBApM1Z6WRgq01UpKtNHjvg0z/+h4/+zaRfn+jh2jfEAeEWgKtLpxwfLZuJGMG/v3Ax06eHigvXv5cwHeWgzDyEdiWtxSoJcs8awRqUAbHB1cgAC+Q8MWmO3aeXggnSfIxERKVuwzDh+m31lZSQmRvvxSSDNpacC6dfQ8Nxfo0sXDA+m8wxkTIywPiWv4qJSVJgq0DvKJiPBiMawFPpKPJgq0QJh8QkJ83NfYWHoIxl4+Hl/6//5L1sWkJC/cDBrHMB42qamU0CYzU5ixGqifh8PjMcMHO5w+NXA0aULJ0g4f1nV8kwq0JNBxS4H2l9hViZuwGhmKousA7LECPXs2MHo0cPCgMM2pvJyUfMAAg2+rVjxmSMdanB4r0KyPzC9cANXVPA+Jz0vwsFJj5eW63j8DBnh4ILYyDw314iZsGKuVzxfp6T6WT4sWFARbWKhrqbFhw4Q15TU6JZI2FJolSrzhBrI0hoVRwipBWZ6ZfFq10qVUtnPCw6lcpGDs83AMHOjhgXQ2sMfHU4ywT8nMJAX65Emq7yjAk0OzRG9TplBFhL176a8gWB99bmCXiMPHbtFuTZspKV63JzEi4eFUL23/fl0XmEOHenigc86hh0DUCyyfK9DBwcDIkbTKFZAAiaHJBFlTw09e+/bCNKf9+ynOFDCAfFgpq23b6LfX1AjRSDSRj9XKlfz0dGE7aCxODjCIq2xmJsUVHzjgZQCfczRR0BSFSmwkJgKDBgGPPKJJ3+w5eRIoKaHnhpCPDmimALD7p2VLYcpzaSm5MQNSPm7D1jAtW5LhTAAVFbzGvc/nH4AuklWr6Hl2tmZletRolgj2rLPoIRB1pUafG3Al4vCxW3QA2J0lLpGRQSNOQQGQny/EZOdPmbgN5/7zf/8nvAlNFjC5ubxEkk7uWYZYYDIFOjSUCoS2bat5E5ooaIcP0045IFQ+homvZTAF2mqla1TAzocm98/Jk7yUEyu9JQDDyeevvyh7f3Y21bsXEJuviXyKiykBASA0f4BOaQoMhSbjW0UFT0Qn8MJW17g3xPrAPkxFgALtT6VIDx40kIFdIg4fKxJSgZYQmZnAr7/S8+xsIQq0Pw3AhlPQdEAT+egU32Q4BeCFF4DXXyd/S0Hmbk1Kjfkg/swQ8rFfYApQoFNT+XOP5XPkCPmDnj4dWPL58Ufg4Yfp+ahRQrTG5GRKXGm1anT/eBwE2jiGG98AclfPyiKf5eRkzQ+vyfiWnc0NT4EUX6tDnod27cixqqbGv9ZvhpCPRAw+dov2SoF29cK0WIR6Bku0wL4Uj4BkIZpMkDt38sWlwMQzgTgAa1Jr2AcKtCHko9aeBBEdDcTFAadO+Zd8DKEA6LDAjIyke+jIES/k07MnKSonTvC8BwIIRPmEhpLel5sr7x+3+fZb4OKL6fm8edzYoSHNmmkwvu3Zw59LBVpTQkJIX8nO9qLU2KFDtD3cvj252AsyNhtOPhJT4mkhIQA0vytK/UdhIU1Subm0GBe4DpBohXoAFmTtaNKEZw722PPixReBfv1oh3zTJs36Zo/hFDSGolCAnABYrWGA5OORB2mgLjB1gl2Lhw7xGGO3uOAC4MMPgUcfBYYM0bRvagx3/+icifv4cS9uU4uFBkqBqcsNd//oLJ+CAnq4TaCOb+qdHh3ypKhzKLiFTh4ChlPQdKykAlAkg0f3z6efUna4+HiahwRhOPlI9CE93bWHRoOqVwp0bi4ttO0f+flkCBw1ivq5c6cmfZWIxH4HWhBsMGO1ht1GPUHqkGHT5yV4GMeOAWecQfW0PM086AJMPqWlFI7pNjq7CIeGGr9ckJYw+bBanG6TnAxccQUlpxKYkI6t4SwWXTbnG0enBaZmmZ4Foz4FPq9xD/iPfAJVgc7IoLTy06ZRQktBsGvR4/EtUENUoqNJKQV0rQThNuq+CdRspQIdoOi8qyssBjozk8rVdutGmx1PPimqJYkm6LiA+eMPeu5RrWE2QcbFCcuwqSh8AE5Lo51Zn9OiBdUfra3VdYJMSHDzAEw+zZp58GXXUJfgSU0VWorVPf73P5JRVRXFQwtAs1qcgmH3T1KSkITX7pOYSLWASkt1vX8E2ii8gt0/Pq9xz4iNpTEuP1+ofOzDiHr3dvMAOhlwmXyio8nT1ec0bQqsXCm8Ga/HN50NHGFhFLZhCDIzyf89NJTmoLAwzZuwl0/fvm4e4Nxz6e/evbp4CAQFCQnXlxgVdXY/e7KygBkzaA3w00+aNCdUNYiIIGPlRx+JbEWiCVFR3L9apwWM2zsAZWW8doTAyfHYMUrmCRjIehkWxt3osrKEZej1ysJcVcUHMIElrE6c4O6xhpEPQInEXnoJWLRIWNyKPyTiKywkPQgwyO4MwEuNAbzUmAC8yvOgKMC4cTTJf/CBpv1SY9gSSUw+Bw/yAVhjvL5/WIxtu3YUkyQAdQken9e41xm1fDyy4ysKBesmJFABYAGoDeyGMuB++SVVWMjJEaI8AxrcP5deCrzxBvDzz0ItQ2oDrqBTIfE32K7u4cO0q6sBwvfWQkL4ZC0xOGwBc+wYLxKqMV4NwGrFPpASVDGYfIqLydIsAK/kk5PDFcdAcm9kMPlUVFCMggC8kk9BAfDNN7RLLkhBAfxAPjU1VA9aAF7J59gx4OuvgVdfBd5/X8tu2aA2XBpKPqwziiLM/90rF+78fG4ZEji+HTjAS/AYSj464LUj3KpVpET+/bdmfbLn+HEefmaI8AdGq1bC3X38oRSpOr+BodZvEt+j8a6uUAX61Cngq68CK0bRr1G71KhdoTTEqwWmuk8Ci2MaLr6JoUOiHa920AI1/ozx4IPAb7/RDpqgwHmv7p+//gIuuQTo2pVioAVheAMUIOz+0Wx8C7QSSYAuiSz9QT7qS9NQ8mGUlJARVwDqacPjWzQkBGjbVpP+OEInO74h8QcPKMPfPxLfouGurlcx0PPmOX69pobWkMuWUUWOp5/2phWJbqgXBXv2AL16ad6EVy5aPlDQDK0ADBigeRNeWZgDNcEOo39/4U14VYsz0OUzYABw+eXUKUGBca1akZG7okLeP26jg4GjZUteZlveP27yyy/AVVfRFuxTTwH33ad5E23a8PtHkA3fa9SXpkA7viGJjSXP+KIiD+6fwkLyUGvRQkTX6ghkA4ekETTe1fVKgZ47t+H3o6OBOXOAe+7xphWJbuiwA922LXkZVVZ6sEbSaQGjU54Y99EhU3pMDC0y8/L8Y4FpKAOHDgQHe1GLs18/GpD37vUge5LrGNZD4JJL6CGQoCAyQu3c6YF8Av3+UWsj6nq+GmKx0G/esoXSNdTWuhHDGugKdGwsKc+AsPVBUBD95h076P5xSz46odNl4D41NcD8+bQ2aNECeOUVzZtg988//1Ccfk0NGXRdYuFCUgZatKAQlQsu0Lx/gG6OihIjovOurlcK9G+/OX49KIjG2k6d3Li5JL7HfgdaAGyC/PdfWigYcQHDmmGThWFQzwYCzfPp6aRAHzzoZjLPiAhKRHf8eGB6COhEejrdO6dPk5zi4lz8Yp8+9BCMYRUAnUhPJwW6ooI8xVz25g90BU39mwWPb1u20Jrq0CHbEscN4gP5GEoBUP9mQesD1syOHTT3uCWfRx+lL7ZvT4pabKyQ/hl2Bzo4GHj5ZdrpTU0VokADXIGuraV4fZfnYHb/5OcL3YWWO9ABjM67ul6pt8OGadIHiVFgKT8VRegCpn17Xu3n4EE36sSyPiUk0I0gCDYAJyWRTmgY0tN1kU96OvDnn7wWp8uT0Asv0KO4mPwkBcEWmK1aUXUVQ7F6NV3cRUVCXByB+nFoLivQOsHkExsrrNKcobGXj8sKNFNKQkOF1l5h8mnaVFilOc+Ii6OLpqBAqIJmLx+XFTTWp6AgoZY7dYkkgaG87hMdTYPusWNC5WNvJ3ZZPsuXA+vW0fPZszXvl7pPAOmrhqhxz2CVBv76ywPrt+vYy8dtBdr+IBpjWA9CiXh03tU1QoVbiVGIjAR++AHYtYuyWQrCo0Qhp0/zwH+BZsW8PJ7B0XDWy4gIvprYs0dYKSuvEokBtNASVHvFsCV4GDfeCNx8M1lCA7CUVWUlrd0Ag8oHoDpBe/YIK2XlkXysVj4YpqcLc92qreWV5gxXIsli4V5QBw5QNmUBeCQftdEyOVlYtmN1iaS0NOO5L9fJ5/hxMhIKwONQeHZht24trLi5ovA+paQYsETSW28B27fTeklQ5zx2FGEnLjZWaAkr1kzbtsIqzUmMyrBhjh9DhgDdumk+r0oFWmLL+ecDHTsKnRk8GoB18ssxbHwTo2NH+ltcTAWRBaBDqLXHGN59my0wKyq4JqkxHpXiKSkhw1hVlZA+Mfbv53YdQyrQM2aQobBjR11KJbmsoB0+zEuLCRx4Dh7kdgNDykcdRmSkSgMnT/LM0wLlc+wYL5FkePkI8oLyOBN3bi4Zxr74Qusu1XHyJOmmgEHXB336UJWFyEhhTXi0flPPhwJPXGEhr/BpKPd6iSnxSh13ZQEbFESJiTp1AiZMAMaN86ZFiRnwKJTXBwnEDDlBdugA/PQTPd+zh2KOBTTBEOip5xGGjd9k2J88l/0PXccjBW3NGmD0aBqQn3hCmHu54eUTE8OL7O7eLeQm90g+gR7/zLC/f7p317wJj+QTHg68+SbJKZBLWNnLp29fzZvwONVHaCjdOzqtDwJVQfNIgc7O5pZVgfKR8c8SPfFKgbZayZp95Mh/BwvhGXyZlbtNG9oo++cf4OOPgQsvBL780oCuSRLd8GgAlgo0oV7A7N5Nrika45F8/vc/4IMP6Mt33gl06aJ5v+z7Y3j57NkDjBypeRNeKWhWKxAfr3mf7JsBDKoAdO8O9OxJF4+gJEMe7XAGegZuhg7Wu5QUnkrCZSeEmBjgppuE9EeN3xk4BNCunReVOgQjFTQKg4+KIqcmI6/fAtXAEdDovKvrlQv31q0UZzBkCPD77+SlcfQo/V2zhl5v146803bvBkaNAr77TlhywHpUVNC6fuxYWtRERlLSh3HjKM+CM778kkq6Nm1Ka6yLLqLfGhAUFpIiNHcuWTwE0LYtT87l8gSp0wBs2AybDObCDQhbwLAJ0q0m/vqL4ubfeYf7uAlA3R+BG0Geo4N8mjfnup/RFDT1T1afCsMwcSJZcz/9FBg0SEgTTZtyxxCXa92r5SPwwjb8/aPu1KFDQpqIiODJuYysoBly/tGxUgdA94+gVBIeYXgFraYG+Ogj4LHHgOefF9IEy1UGkAGqutqFL+l0YUsDR4BjtVKYWm4uPQ4dolwahw7x11iR+Y8+IgX6kku4V5qbeKVAP/gg5ZFYsQIYOJAGPoD+DhoE/Pwz6WMPPkgX82ef0cT1wQfetOo6ubnA9Om0Az51KvDaa8DkybTOP+ss4MMP639n4UJg/HhKVvT008BDD1FOhkGDqPSF6cnPB666ikpCfPaZkCaCgvgYymo9NopOAzCbIAUnWvUcHRYwFguffHJzXQybZfVBAd0UNENOkDr5v7Nr88ABF+UjPTh0hSkAR4/STk2j+MDAYUgFunNnYP16cmN7/XVhzbDfnpdHD6NgePmkp/OFng6ZuCsrXbSjvPYa8PDDwLvvCks+B/iBgSM4GLj+euCRR4AFC4Q1w4YodVLCBpHzj0QPdN7V9UqB/uor4OKLnSc2Cwuj3dsvv6T/mzQBzjmH+q0H8fHA339TZYM5c4Bp04DHH6fzGhoK3HWXrXWzsJBea9cOWLsWuO024O676bxbLJR/xvSkpNDJAXSZIKuqSAloFDYyCs6wqUOiVe9ISuIdEygftnirrXXRzfHrryl9+V9/Ca3xyH5yYiJ54RiOxERewktwrVSAxi+XdjnZhR0VJSRunsF+ckyMUE9xw+N2Liwmn4gImoAEweQTGWmwEkmM8HCgXz+hYwjgQS6sP/+kRZegygcMJp+QEIOVSGKEh/OOCawE4XYisffeA+bPp50Sganl1QZ2daiGYbDfHhZUacDtMC8feBAaMgRCIhadd3W9UqDz8hrf/aiutrXwtmrl8W6527RsCfTqVf/1Ll0oUeHx47aJjL/+mhJtXn+9bZnhdu3I82/1ahetbf5McDDwxht0Mj7/XFgzbk2QikIJXJ56CrjjDmF9OnWKV+YwrPUyKIh3LivLOBMkQL7FffqI6A4A3SqZeYe6FE9uLm2hCMAtT3Hm0gTQiRO0wKyooCzcAJ0CQ5VIckRNjbDJyC1HhNpabgXJyOCTvsbU1PBm2rcX1oxf4JZ8FAUYMYIWAj17CuuT1crH2vR0bsc2HOzknT5t63mkIW6VslIULsSkJB4fpjGGL2HFYCevpkZYJQiPFeiWLYXlnlA3I0tYBSg67+p6NYWmp1PFAGchj8XF9L7aUnf0KBAX502r3mO10kI8LIzW/IwNG+jvwIH1v8Ne27jR+XHT050/BOk5Yrj+eooLEBjE6NYAbLEAl15KmYMFZQ8G/MA9izF8OLme3HKLMHc1HaqVuI1OYaLewzrn8vaw500ALigAOTnc1UZwgiq2IWVo+bz8MiUQiYwUltzCLQPHwYPcEi1QPrm5fB4ytHx0wK375+hRiukChHoHHDnCS1gZWj46hKm4lYk7L492lQCh98+pU7pUMvMeHepQurV+KynhfvgC15SyhJVE711drxTo6dPJq6lfP9oBz82l9XxuLvD++/T6kSPAjTfS5xUFWLlSqBHXJd5+m+bESZNsjZXsHnc0R7LXBOU1CTg82uEUjN/Ez7z6KvDDD8BLL3F3YY1R/36jlLIyfHwgQ4dEYm6tYWV8rS1lZWRxrqnRRT6NGrd1Cuz3GwPUvn00tt18M7ncCcCt+8diAWbOBMaMEVL1wFE/DC0fHRRotzzUdLqwDZ9AjOHW9r1nuLV+0ymzpEwgJtF7V9erMlZ33EGLg7feAq65pv77ikJKNvO6PXECuOIK9yu7lJSQ966rjB/v2HUboPjnmTNJIbZPUsisv45iX5mizT7jiIYy4hrWHctHeFzrUSB+o0DrgFs70B98QJn5OnUCLr+catcJwG8UAB0WmFJB8wId5JORwUslNdpEfj65kpWVSQMHAPz7L5XCA2hhI6AUXGoqefm5ZENp3Rp48UXN+2CP38hHp1JWYWG0meSWAi1rDOuyuIqPpzDH4mIXmti1iz/v1ElIfwA/8iCUiGP6dJo7+vWjOOdBgyjny/HjpPw9/jjt6r7wAn3ey11drxRogMJlr7wSWLIE2LyZYkijo0mBveYaYOhQ/tnERODJJ91vo6SEfrerZGY6VqA3baI61DExwPLl9ZPcsJgJR2GLzFM2IOIqqqvJtXHPHopXGTVK8ybatCEPyvJyFybItWvpxHfoQDViBCEVaE6LFvTIz3dhjbR8OWU/BSieRJACbfgM3AwdFpjR0eR5dOyYC02oFzCdOwvpD+BHCoAOHgKRkZSIcP9+nmvJaUz45ZdTko3Dh4UlSAT8SD463D+hobRZsWcPjftWq+9jwg1fAo6hg3yCg0k+u3bR+qBB+cgaw7boWKlj0yYa46qqGogJV1t4BV7Ycv0m0W1X9z+8VqABYPBgeoiiVSvvkz3+/Tedo4gI4NdfHa8j1W7a9u8fPmz7GVOTlwf07UvPR40SokCzUlbbttHOfU2N87h/3HILKfRhYRSL5vSD3mH4DJv2KApZrNSB/BrSoQNVlDl4kAwdkZFOPrhzJ/1V178SAFsLWCwGz7Cpk/97hw6kQB8/TpeB06zkagVa4ALGbwwcbm0Pe06HDrS4ZLF5DWYlDwqiBEgC8RsFOi0NWLqULiKB12uHDnROyspofhd8+hvFb+TDKkFUVgqvNLBrFyUnPHKkgbWXenwTeOL8Zge6bVvaaCgttT03GsMUaKuV1nBON5flDrRET/TY1f2PgMjD+c8/pDyHhwO//UZZuB1x1ln0d926+u+x1848U0wfDYXOpXiqqxsoZVVby/uQni5MefabDJuM888nxbl7d2FNuBSHpih8gkxJEeaiodZ1kpMbUOaNQHQ0uX0CQmv2uexmz+TTurXQ2l9MPq1aCQvN1wa2PQwILcWjw0a3W7A+tGhByXANS2goLXQGDBBazspl+Rw9Krx8lboPTZvy4cOQBAUBEyYAU6YA114rrBmXPZGZATcsjNYIgvAbA7vFwhXVnByyQAjA5ThoNv+EhOgiH0Aq0Jrx88+Ui6J/f1rbWSyU4KohvvySPt+0KXmwXnSR82SdZWXA/fdTTA0rkXf//Q3HyrrC4MHAO+9QWdW9e8nS8847tsqzBnitQP/2G+XWSEigeS84uP5DkM7jEv/8A5x7Lu08r1zZsAfj2LG08HvnHZ5tEaAd6U8/JZkYeuDUCp1K8biU66K6Gpg7lybqsWOF9AMATp70kwybjOJiehw6xDPEaoxLCtrRozxhg0DrsjrRqqF3ZxiskydO8I5rjFoBcKqn5+XRxQ0IlU9REa9o41fyUaduFdQEINSO4hLl5dxI6Rfjmw645OlaUUFbn9HRjl0CNaK6mudQ8YsScO+/Tzs8s2YJa8Kl+6emhk9O7dsLNbCzZpKT/cDAzha66tpoGuOyAn3DDVTZZeJEocmA2BpSlrDSkA8+IIWovNy1zZqFCykJVWkp8PTTwEMPAdu3Uyzyli22n62tBUaPps8NHQq8/jpV/3nuOVIq9ap37AVejTbffguMG0f3aHIyLeh8qSzbs38/7TwXFAAPPwz8+Sc91IwcSRuuABlLnnuOsoYPGkR/q6oo6bHVCrzyiv6/wWd06GDrnyMgdtJ+AD7vPAcfiogQWrpK3b6jfhmWzp1JY+nYkbQXAbHhLnki6+Se5TfujYwOHSixGkAXlwDXFZcUAPXKU6B8/CaBGKNjR57hec+eRvyrPcMl+WzfThb3zp2pfqWgLM9qA6VfyEcHXJIPC8AtKRG6oMvJ4YeX8iHUw5VTBTonh5etETi+HTvGDewCm9EOdSd37RLiqeayAn3bbZq3bU9+PrcT+8X6zV94/HGKJ46IIINZQ3V8CwuBu+4ig+PatWR0BKjcUZcuwIwZfE0EUJjOqlXA7bfbKlfp6ZTp+d13hXq4aIFX6u6jj5Il7uuvnSg/PiYnh5f7mjfP8Wd++40r0ADFl7doATz7LHDvvfT7Bg+m66hHD/F9Ngz2/m0CFGgdcl24jN8p0AsX/n975x0eVZX+8e+QkAQSIIQaCJDQCS00wYCggvoTRFEQVBbEBWVdwYYNQUERF11ULLgrgr2LoK5YEAFBkN57SwOCtBBIL3N/f7zcnDPJZDLlnil33s/zzMMwc+eek/vee855y3lf5W4KpzzQPkhQFRDyKe8+8ZUCrYc3AqxAy5SXT9++SpuoVD47dwLLltGrYUNlCnTAGaCys4E//6T7t1s34OqrDW/CKflwAj6fIS9BKt3K6yX5eMkOaRzlFWgF+FMp0oCTT6DQtKnzx377LVmZHn1UKM8AKdQjR9KaNTWVwrQBkXh2yhTb80ycSBm03VWgV60iT+jmzeQ9tVorHmOxUPSKh3ikQO/dSwlE/VF5BmjOdWfr0ogR9ApqvKDdemGMdxov5VkyDi/E+Dm1B81LHuiAU9Buu40sbm3bKstO1LIlbZEpLXXgoWEFwD5Orc49o3lzJ3ItyV9wBIdg507gxhvp/aRJShTo2FiRa8nXBqiAk49OXh55KRSMcY0bi1JJlY5vXpKPl6Y545A7KV8jA6lXj6I2s7J87wAJOPm4SGxJieP9445q6HqLjRvp3+Tkit8lJ5MCvWkTKdCaRvuTmzSh3DkyERFA9+6kADssX2EHL4dFe7QHOipKaY4PxpfIs7iiBWaDBjQAO2zi0CFle3xlzD4Au0OtWrSIATiE22VatqT9IS1aKKuPExYmcjJUmgvLB/IJiAgB2Ziwb5+SJkJChBHqyJFKIoBnzqQ098uXK/GC6wTc8yPLR5ECIKf6kCOBbWADlH0KCmjwiYykjLcKsFiEnSs1VZQStcFL8gk4A3vr1jQAAUq9E/q9mpFRyTItPZ2iSRTDHmg/4Phx+tdeuny5xBFAMfe5uZWn1o+Lo++zslzrgx4W/fPPNGisXUseaXsvA/BINR84kKKsGBMizxIKFzDt29M9lJ5O28wqlEG96ipKxNSzZ8UN7AaizzFygt6AwVUrnQvIpZIuXrSNzAEgLlzdukr2keroC8zq1SsaLIOZtm1JOcvNpXxuFUpw33sv0KULcPSoa+FYLhIwJcZ04uJosMnJUTa+ASSfvXvJC52RIaLXyrBYqC+K6yPKClpAZKht0ACoX58SvCkycAAkn+3bybiRkmJHOdLHN73uoiICzgAVEUGZzwCSj6I5qH174Yg6csTOVl752VVoeQg4BS08nIy4hw9T5xUVOu/QQTgeDx2i3RY2jBtHykpsLB2gqM692R0gmaGh7nuZc3KAOXOcP374cDuCdAI9c3Z4eMXvIiJsj3F0bPnjXfHSejks2iMF+qWXqPTTCy9QyLrfZ45knCcqijSVtDTlE6RuhDl0iCI3yjh/npRnvT+KKC4m/QKgBZQih6HxTJtGiZBSU0l70i3OBtK2LbBmDb0/dEiUBwdAA3NGBr1v317ZACAnElVYySwgadsW+PFHen/okB0F+uab6aUQucSYXo3C77FYaPW3eTNpTnl5SlK3lt9qXUGB9hK6fJo2VTqUGkuHDuRByMykBDUK6t2Xl4+NAm21ipV5y5ZKb2xdPnJUlt/TuzcV0O7Qgdz3Cq6Pw1xYcgnFZs2U3th6M3Xq2ObM8Wvat6eJMy+PPH8KPAPlI8Ur6F36hSsp8Yp8atTwfT13vyMnh5I4OUvr1u4p0Pr8aa9qjx4+oh/j6Fh7xzuLl8OiPU4i1rEjMGMG8P77QFKS/TKjFguFvzMBRmIiKdDZ2ZW4tzyn/ARpo0B7yex75IjIJxBQ1st9+4RXPi1NSY3F8hOkjQLtpf2bJ06I8TQgwht1Dh0C/viDLtwDDyjRnsqXslKwVbRK5BJwASWfxETh3jp40L1FQxWUTyVxww2GN1ElWVmiUlfAyWftWnq/fz/VhTYYh6k+jh8XnhKF4cE5OTTGle+P3/PNN8qbcFiq76+/RIlAhfLJz6fpVe9PwDiKOnSgPaEAeQgUKNDyZa8QKV5aSuWIDh5UqtTIDpC2bQPIAeItGjf2Sh17mzDt8s+jPsDpx8TEkHKsh3SX58QJUUfaFbwcFu2RAv3BB+J9Sgq97MEKdICSmAj89BO937fPKwq0DV6KywnY8J/ERMp8CJB8FCjQDreKeunCyVF6AbH/TOeLL8i6CAB9+ihRoP0hk718GwSUApCYKN7bdZ94jkP5bNwIfP01PTuDBilzTwdceLBO+X3Q3lagvTS+cYmxynG4PkhJIW3JalWewFLXPwJqfTBxIoWztm2rpMwlUEWqgpAQ4N13lbQrc/RogDpAzMYVV1DJq/XrKf+LzPr19K9ejcRiIW/MmjVknZL35RUUANu20feuWqu8HBbtkQJdmcLMmAR5gblvHy3yDIYVaA8oL5+bbjK8CYcTpA8UaPlP9nvKy2f4cMObcKgA6Cvz+Hilce+yYSWg5OOFRGIOPWhr1gCvvELvP/lEmQItPz8KHXXGU/75UYDDXJleunABa4DyAq1bCx25wvNz5ZUUIXDkCMXuKiJg1wcKDOrlSUignE1FRUpTSTgk4Panm5Vhw4CHHgIWLgQeeUQkzDl+HPjqK6oHrGc9BYAxY8QcKNeBXrCAkrqMGeN6H7wcFu3RqoqT+ZgcLyxgWrakxFDFxXYWMF4aGb2UyNN4vCCfFi1obZKf7zsFOmAVtD59gHnz6KZKSlLSRNOmohRPhedn5kzg009phbN7t7LVuSyfgH1+FK3+6tcXpV4cKmj8/FTEC5m4o6Mpv1FmJo9vHlFUROOMwYSH05r76FESR4VULOHhtGBWSMBl4PYioaEU1bJ3L3nqS0q8n6MkYA0cgcCuXcD339P77dvp3+++o7w7AOVX6dKF3tetS/WXJ06kihITJ9K48OabZAGTlWSAajx/9BF9n50N9O9P7c2fT8mDx41zvb9eDotWfqtrGiW5GTJEdUuM4XjBQ6MPwPv2kQettFTKheWlzBD6wsliCbAQR31DlqYpk0+1ajQpbd9Oi5jCQilXjH7hqle3tSwaTMAqaHFxZJFViJ7JfutWStKZny85Y+QELgpTywdshEB8PE3+rVoBAwYoacJioWuybh3l27PJZO+llXnAKmhNm1ItvUuXlGbiTkwkBfrsWdrPX1ZMgBXoqhk9mvI8lJZWvp/RQ9q1o7knJ0dZKhaHsIfTMe3bkwJdVET6StkaSlFixvKwAq2QbduAZ56x/WzxYnoBtMbRFWgAuO8+2t/8738DTzxBRrV+/SiJWdeutucJCSHl8PnngS+/BD7/nKyZjz4KPPuse0lxvRwWrWy7fUYGOUBatFCeBJZRRZ06Yrbau1dZIgJ90CssFMk6vJUaW07kGR+vNBLMeGrWFGGf+/crk4+utJaWimzYKC0VMcOtW5MSrQDZNtC0qZ0yWkyZA6ZCmOOtt1LY+PXXi7IQCtDlU7++0kpmxhMSAuzcCSxZAjz4oLJm7Dq6vZhBWJdPrVpKK5kZj54pHaCJwW6hWc+pNJBHF1ajRkpTY+/dS/9GRCi1Q6ohPZ1eJ04oq/frcJuXF9DbDAkJkBJ9MuvWUQmjceNEwjWDqTSRWI8epBDddJPSJFZymwHlAAkExo0j2VX2suclHjGC8nvk5dE998MPFZVnnago4OWXaXwvKqJ/X37Z/fmwRYuqX82bA3v2uHf+chiqlVit5N0fMoRCc2fNonHVF5lhGYPQVxfnz5N5XgF2J0g5NbZC70xmJjk4yvcjYNDlk5OjzANgN5Ly1CmRmEThhTtzhm49IAC9M16iUgVg2jSyFOuJABVw4QJw8mTFfjACOcK0TD5nzlBcN6D0+cnNFdF2iYkBlEFYR7+p9EzpCpsAJPlkZVGWZ0CpfIqKhFGyfXsllQjV4oVtEPL0X7Y+yM0F7rqLvFcrVyppF7C97RRXMlPDxx8DU6cCH36ozPpgd31QWEg39qlTpAQoGnhk+TRvrixXGmMGFHh1DVGgU1OB6dPJkH7bbcDPP5PB9skn6Rn67TcjWmF8ghf22dpVoHWzPAB06qSkXZv2EGDhwTpekI/dCbJpU+DcOarT/dprStoFAjy8ESDrzPr1tN/GIKtneWQFTX5svEHAhm97Efm6lMnHSwmqDh4Uzp+AlI8X9kHbHUK9FLd7+DAF85TvR8DgBfnYHd8OHqSQzxkzKAGfIjIyROBDQBrYvSAfu+u3gwfFja1wj/rp08IOyfvTmQoo9uq6vQe6pIQq6CxYQAZAq5XC3W+7jcoDDhsGvPiiIX1kfMmYMZQQIDFRWRKi8rWGAdgqGwoHYC/l8VFH+dWfgkKzlc7BFovymN2AzSCs87//0T5BgELpFBiDvGBDqZSA3Z9entJSMnZERxt+arvykS0dCi9cwBugvHBz240Q8NKNzfKpGlk+ZcsCL00MXlqGqOPGG2lvTadOyhY4suJaJhYvOUC81AwTaKSmUjbw99+nKAgAqFcPmDCBXgZlqHdZgT58mPr14YcUhaZpVD7znnsooiYmhguZm4qePemlEHn+K5uw5JlL4cgoz/mmUKAV0Lo1JXsrKfGtgsYLTPvoe/fz86UFxalTtHBSnBI14D3QJ0/SIvPgQbL6fvGF4U00aULpJLKzpVtAHt86dza8TZ2Af3684EGrVw9o2JC8WWXPz+7d4gAvzT8sH/tER1PA04kT9NhoGmAZNQro3p0+kJMYGYyXliHqaNtWeW20yEgKn05PlzKle8nyEPDyYYzDB15dl1dXeuLfBg2Ahx8mxZlvXMYToqIoeUpKijRB6iNjRITSeoZeWiepwwuZ0sPCSIk+cEBEZnlrr17ALzC9lCm9QwdKmHn0KFBQAETcfDMlyEpMBDZvVqZIB7x8GjSgP6KkRJkCoGfi/vNPypGSkwNEyQOPwgVmwMsnPp7mgIIC5Zm4T5+mbc/nzgH1rruOBro9e1iBdkRcHE3gOTlK5dOxIynQ58+TjBo3DqVBT3HYCytoztGhAynQFy5czpQuu4ZZgWZU4kOvrltntVhImb/zTr5pGWPQ76OcHCD9UIHIrJKYqExb0zQxADdtqjTRqjpq1RIlvvbtU56Ju7AQSD1cDAwcCEyaBHz9tZL2dHSdpkED8hQFHDVqCAPQ/v1kFVWATSbu/VZRV+TSJaVeaH3NXKcOJVwNOKpXpzGmQwelk5lNrqV90sATF6ckbFxHl0/NmkormakjJETEiB45Qve0Airkwho8mOqWrlxJWbgVocunevUAzPAM2GZKT02lzLsKkB9NRakk7KK3Va0a77F1hCyf3bshQjnkSiEKkO+FgDRAMZ7Trh3VnwbIq7trF9X1nDSJlGeFuKxAz5pFScwWLAB696bos7lzRZg5Y0JSUiib7/PPKyuFIA/Aab8cEIqGwkXtyZMiAYXCKEr16DPHhQvKHkTZ0J++8ggtLOfPp9AYRWRlkTUbCPDJUe98bq6yTOny9Un7PVUsZBU+Pzk5ouxcQGZ41tm+nTSZTz9V1oTshElZd1KMowoHnoICUQmwffsA3lql39ylpeIPUtQE4L1tKiUlIldZu3bKd1uoQ86UrijTsy8SJZaWCgNumzZKKwGq5a+/KJHSCy8ou7nlYWz/1jzxnCYmKi1BqivQ8fFKKwEy/o6PvLou39nTptGz8dNPVGb00CGql928OZV7U+yQYnzB3LnA7bdTxktF5l95AM5e5524HNOE/3hhH5osn3PrpQy1Ci9cwO+v1ZHlo2j1Jy8wL66TwoMVKmjyWjmg5eMFzVK+PhfXe2ffyOHDwg4Z0PJ5+GFg1Srg7FllIbt2E4kp5uhRoLiY3ge0fCq4H9U2cXbtflqLfP01xXUr4tgxMkKVbz/gWLKElItnngFWr1bShDzNnF9/QETCKQzfzsgQJUgDWj6MZ/jQq+v2yuGGG8gpmZFB+7KbNwd+/BG44w4yBuzYQV50xgTYrcNiLPIAqHkpAcVu7+gZ6pHlo2gBI+dpWVwyjBazv/9Oe0wUIf8pvMB0jHx9LPu8b4AK6AzcXkAexixeSiAmD9UB/fxccQWVHVG4h0O+Pqe3HafFl6LtMDoBv/9ZR54cdu1S0oR8faK2raFouJEjgaVLlbQHmMjALo8xihwgHToIO6S2mx0gjBfxoVfXY9N7w4bAU0/R9qRffwVGjKD9PFu20LzXrRtFejIBzIABZPFdsgS45RYlTcghbF8X3kJWpTvuALp2VdIeYCIF2gsLmLZtKZkYQLmpUK8e0L+/0gRvO3eK9wpvA/XI8pH/KAPRM3EDQJ0M76ws5D9FYSJc76LXLjWYpk0pXQHgG/nwAtMxco6FwVuepw39DRoojRc2jYHQC/NPVBQ5mQCg7nHvTNwBX8JKx24dMGOpUYPC3AGgzglOIMb4AB94dQ2NXRs4EPjyS9rm9/LLtOjeuRN48EEjW2G8TqdOwMyZZN1p3FhJE2FhIknHl+lXovjJ6cDnn9PKUxFygpCALGGl06kTJboZOFCZphkaKubCQ4eoZJJqTKOgdeggrEOKFpghIcIL3OLS5Ru7enWlJUzkPyWgDRwA1Ybs2FHZSsxiEadOyL2sACgeeExjgPICFosYY1rmX35+zp1Tmnltxw7xPqDl06gRGRsAZeMbIJ6ftsXs4XSJunUpWSFAVhtFkRW6LaN9KSvQjA/xoldXyeav+vWBxx6jPYwrV9K+boapCn0ALi4WSbhVUVoqQujatBHeu4AkMpJCDlesUGqt0heYVqv6fYJWq/DQxMdTlueAJSxMaLcHDlAqcwV07QpURxHa4/Lm5PbtaeJQgKYJBa1xY5qzApqdO+mmPniQsqMpICkJqIZSJMI7A48un+hokag/YNm1C3j7beAf/xCZHw1GV2JXYBDOdb+O9tPpYQMK0OUTGRmgGbh1ZOuDXgtMAaSLaeiMyxNDbKzSsH49+EAv4xjQ6BrmhQuUPVUB+vqtTD5yhRAF6Aq0nKifYWxQ7NVVnj3l6quBTz5R3QpjBrywVbSMI0dMkiDEi3TpArTFQfwH/0Dxa28pS1gGUEUUPUFIQHufdfTVucJ6w127Am1xCNVRQh8ozmB/7pxoN+DR/whNUxa227Ur0BQnoOFyunKF8jl7VqyTu3YN4AzpOu+8AzzwAP2raHJISqJ/Z+B5vH/ncmDDBiXtAMDFi5SkCiDFQ1GlRu/hhTDuTp2AWGSiHs7TBwrDt4uKbDOkK7JDeg8v1AHr3Bmoi/NogXT6QOHAU94BErAZ0hnvoMirG6iFLRhvU1JCC8vPPlOaabMdDiAJ27F/p5p6nzpeyuNjKrp0Aa7En/gH3kGfTyfT/hJFmC78VP4jFO2DTkqSrP+A0hub5eM6SUlABpqjFi7h6dsPU1kZRZhOPl5Q0OTrJIdXq8BU2x8A2z9CkXw6dwY6wTsT98GDtOQBAnz/s458rRQmGu0KaeDRLVIKOHpUBHKxA4RxCQO9uqxAM87x7bc0Uo0eTRv1FdC5M/AoXsV2dMe0OVHAtm1K2gFMlECsPJomXLcG06UL0A3bxQcKJ0h5DWYKD7QXEol17QokYYf4wEsKtOnko9CDZrEAVoRg+bHWvP/ZFQYNohDuP/4A7r5bSRNyqgJFj2gZppOPF8a3xEQgqZp3Ju7t3pnmvId8rRTJJyEB6B0mXbhu3ZS0A9gauEy1fmMCClagGefwgocmPh7oUY0G4BCtRKR1VIC8RjaFBfPiRcqWHhND5T0U0LAh0Lu6mCC1JHUTpOkWmF7w0ERHA30jhNHJmtRdSTuACeXjBQUgMlLkdNuzR3i4VGA6+bRqBdx/P9C3r7J9yeHhQL+2pwFoOHBAbPFRwU7vOOq8R4cO9AzddRftO1RAWBgwoM6Osv/nt1anOcm2++7qhlHvkZgo4tBl64CBVKsG9K+1o+z/eW2TlLQDmFA+TEDCCjTjHK1a0QoQULbArFYNWBN/Nz7BaPyEG3GuSF0CFz2bfVSUCRKEALSo3LWLkoSoyoRqtaKLlSbfNDTHqaIYNe1A3GI1awZ4gh2dRo3oBdAfpyITqqaVyecUGuFYfqzxbVxGl4+cPT+gqVtXJLzZtUtZplpdWSosFHssVaDLJyTEJCGoXuKL9CuRhbpYWnKT0kSJugfNYjGJBy0igm66Tz9VFiEAAEkaaU5FqI5dVnWWb1lBU+hI9R7h4cJTsH8/kJenpJnjnW/Ee7gHW9ADu0rVDTysQDP+ACvQjHNUqya8NKmpQHa2kmbShk7CGHyCm7BMWQT32bNA+uU8F9260Z8W8Fgs5Gpq0oT+VZHp+ehR1CylDMXb0F2Znn7pkm2CHVPIBxDPz9mzQGam8efPyEDtIsrstR3dsGOnmgQu+flUygwg5SzgE+zo6K7aixeBtDTjz3/6NGZvvxGz8TSuwhpl+2yLikSCnfbtOcGO02RloVHOMUQjG3WRpSyMu7RU5OBo1YqMuIwT5OYiNpsqDOxGZ2zdHaakGatVGDiaN6f8Q6ZA1zStVmVG9uIRd2I83kMvbMHWPeFK2tA0oUA3akTJ2BnGFxi+NLVajT4j4zd4IQxVtiYaXPPc7nl79FDThk/4+WfgxAlK7hWuYPKSLBrb0U1VJJjN/nRThJ/qqH5+JIFsQ3dlCtqePWKcN5V8VO+D3rYNrQ79jKfxL9yM75XJZ/9+KgUImEw+Fy8Cq1YB8+YBmzcbf35JICqfn8OHyQgFmEw+qtm5E9U0Gni2obuy+efoUZFGxBTeZx35j1HknejZU7zfskVJE8jIEBUgunc3QYUBJmAxVIHeu5e8EevXG3lWxm/wwj5oWaFV5YGWz2sqBVq1q0lasWxHN2UTpLxwNUWCKp0xY4DvvgNSUoAbbjD+/OUMHKoUANPtr9WR/xgVg49kGdqObso8nKaVz+rVwLXXAo88AnzzjfHnl2S+Dd2VyUd+Lk2x/7k8ubkUpWY0kny2oocyBdq04cHyH6NocdWli0jEp2p9YFr5MAGH4R5oRVvHGH9A9QJz7160b5aLGjXov+yB9jPKLTBVOIEA24nXVPLp0gW4+WbKlqfCbO4lD7T86JtKQZPdJypu7sceg5aWjrG1v8VvGIgdO9TMl7JiwfJxgXLjmyr5yM+lqeRTUEBjXO3awN/+Zvz5pYl7G7pj924RaWEk8vNjKgWtSxexH0rF+u3YMdQovliWc2HfPjVbrVmBZvwFs+wuZLxBUhJlpQGMX8BoGtC3L0Lq1sbvYYMA0D7YrCxjmwHEPCxnxTUdRqf41bSylUVW9QY4iSZITwdOnza2GUAo0CEhJltgqmbiRODJJ/FHvZuRggScOKFGPvqjb7GYzMCRkADUq0fvN282XnuyWGBp3gynet+Cv9AYZ87QjgujkYdmU8mnSRN6ATRIGL1f7PLKvLhaGPYhEdnZFM5rNLKB0FQKQEQEeZ+tVrqWRs9Bl+VTagnBbnS22euvoBkAJpNPZKQonbdnDyVLMJKxY4E6dbD8WGtEIN9mL7mRmFY+jHGUllKiIz3ZkSJYgWacp0YNkTJ03z4gJ8e4c6ekUGIyqxURdWuUfWx0mNa5cyK6rFs3YQ8wDW+8ASQnkxfg/HnjznviBCW/AnC6STcA5EE12o6Sm0tbQQBKGlqjhuPjGYkhQ4A5c7D07u+gy8foMLrCQhEi3K4d3WamwWIRXs4zZ5RNviodqSUlYoEZH2+iBEg6vXrRvxcvAkeOGHfenJyytOinG3dBCSgzntHysVrFOWNjgaZNjT2/z7nySjK0jx5t7PqgoKBsYjjfKBEFoInBaEeqnKCqYUMTJqjSNc7iYjHRGkFpadnEUKN6SZl8VEQR6vKpWxdo0cL48zMm4MgRmgBbtlTaDCvQjGtccQX9q1uZjUI6V2lnkezC6AHYtPufdY4eBf78k7LUGKk9yfKR6gsbvcDcsUM4lvS1sqn46y/gs89oH+cffyhpQn9EAWDTJmPPvWuXCJs0pXzkP0rRHgWV8tm3TySoktsxDarkI5WWK+0qxjej5XP4MOn+gEnl8/HHZPV+910qTG8Uu3eTkgagpIuQj9EGdtMnqNIVaIuFbkajyMsDxo0DevVCUc8ryz422oCbmSkKWHTrZkL5MMZQvTql0NdLUyqCFWjGNVSt/qTFUPS1YoI0WoE2/f5nVfKRLly9gcLAYbSOIZ9P9tSZhrVryTszbx7wyy9KmlCpoMkLIlagXWDxYuDRR4FPPkHvNiIyxGj5yF02pXxUue8lA2HMQHUGQtPLR5VGk5JSlp2qzrVi4jZaPvL6wFQZuHVuvx1Yt46sOCNHGnfeWrWAN98ENm1C1HeflZU2NFqBNu3+dMZYWrakUNOUFKXNsALNuIaq1fnGjWVvm97Wu6wKEyvQLqJKAZDk0/CmK5RtFWUFzU1Wr6awJU2zCd3dtMlY+ZjewKFSgX7tNWDMGMQWp5eF7m7ebOxWXtMraKoUaGngibqqGxIS6L3RW3nlKdOU8lHFyJEUEr5lC2qOHYF27ejjbdtoW4lRbNgg3psyQiAujrZ4KSw+Hh5hQadO9P7AAWMj+WX5mHL9xgQUrEAzrpGYSMkoAOMU6JISsYBp3hzVm8eWWX+PHCnbemsIepcjI1E2CZuK1q1F6JxR2pPVKhToRo1giW+hbKuoLp+wMJRNwqaieXPgpZeoZvennxpzTk0D7rgDaNMGaNcOFmjo3Zu+OnfOWCOsrrOEhpq0BI+8MXXrVuO02z//pH8jI4FOncqUp0uXyrbeGoKc4M2UHpp69cS+tu3bjdNudfmEhQFdu5YpT/n5xm4VNb0BSub8eWOtD+HhpDXFxqJPH/qoqMjYMG79NgBoOzfjHvq9bbWyfBjzwgo04xohIcL0l5ZGezo9Ze9eyh4FQF/5JyeLr+VB0xOOHxfKXu/eJkwgBlCZCn32OnXKmDS/hw4BFy7Q+969AYtFiaPu9GmxLatHD1rLmg6LBXjiCaoDrbvxPUV+Dlu1AiwWJYEiFy4IZaJzZxMneLvxRkrINmWKMe6tkyfFwNOrFxAaqkQ+ubm0Rx0AOnSgqEpTog8++fnGpGE+d04MPN27A+HhNuObFHzjEYWFQplo3RqIiTHmvH7H22/TOFSvnpo0zECZAg0Ytz4oLhZ2/IQEoFEjY85reoqKaK0hoeL5KS0V52rShGzRDONLWIFmXEde/RmhPckj7OWZsW9f8dH69Z43Uf48soJuOoxenctxU5flI0+QRikAsnxk+TNVEBEBzJoFDB4MXHcdANtbwKgF5oYNIqChXz9jzumXvPsu8MMPwLPPGmMlsPP86BECgHHj26ZNwuFn6ufH6DBuWT6X3VqygrZunedNALbhxqb2npWUUA1KQFkiPvn6yeLzhJ07RQI+U8vnr7+oWsdddwHvvef5+bZsocid5s3JeALb9ZVRuTL37aOIHYDkwwnEGF/DCjTjOkYraLICfXllKU9gRi0w5YWQqRVoo7XbvDygQQN6f3llKS8wjZogWYF2k8aNgenTgWXLKFEVSD76AmPtWmOakeXM8nEBOwqaHAFj1PMjj2+mNnAYbR2yExfasyfK8nAYJR/5PKaWj9HWobfeAoYPB+bOLSts37Gj2ElmlAIdNOHBp08DDz0EfP458OOPnp9PF0BGRtmg1qEDlZkCaFwyYieZfCuZWj5MwMAKNOM6soK2e7fn59NnrtDQso17sbEoS+SyaZMoneMJ8gAsK4Cmw+gF5j//SVbro0fLZq6GDcUe8i1bSMf2lKAxcAC08fXdd8nLqYDoaKBLF3q/c6coneMJsnxYgXYB+Rm8PPBERoo9yvv2idI5nhA0Bo5evVCW5tcI65AdzSk8XAyjx45RFL6nBI0C3a2biNwwQj7LlgFLlgCPP17mggwNFcuQ9HTanuUpQaNAJyaK/R2Xazd7hCzjywNPtWpiDj97lnaBeUrQyIcJGFiBZlynRQtg4UJgzx7gm288O9eZM8D+/fS+e3ebkEl9AC4o8DwRRW6uOEfHjsI6akqaNKE9aAB59wsKPD+nxULJeyIiyj666ir6t7jY831OBQVi/1mbNqSgm5rbbgPuuw948UVj05RK6PKxWj13BMkybt6ckrmaHj25oSfyKSwUN3bLljY3ti4fwHMvZ2mpkHHjxiLPlimpUUOEcR865FkejpISEaUTF2dzY8tKrqfysVqFASomBmjf3rPz+TVhYcJCnZZGnkl30TRK5QxQFJR0Y8vPz++/u9+E3syaNfS+Zk1hfDQlISHARx9RkkRPcwhomng46tYl5fwy8vNjxDYIvZmwMJMmSGQCDlagGdexWIDx40kTrebhLaTPWgAwYIDNV7IXxdMJcsMGWmQCQeDdBMTqorBQ2T60/v3Fe08dDVu2UC4SwOTeMx1dPqWlnkUJpKbSxbOT7VZeYHoqnx07xP5AU3vPdP7zH1oQ9url2eCzebMwYJW7sY2Uz549Yn9gv35BsD9QvnierM537BAGknITg5EK9MGDIsqgb1/Pp02/x6iLZ7FQKY7du4GPP7a5sa++Why2erX7TQDUhJ5vs18/EeBgWoYNIy3U0z/0wAFRJqVfP5sbWx7uPH1+MjIoAA4g24xkx2cYxxhZJ7IcZh/GK/D44zQGh4ZWfsySJfSQRkbSGmroUJHdlDEYBwr0NdeI9ytXetbMb7+J9/LEa1pk7Va+xq7iYPAxqgnAVr7y2ti0GGV9WLiQlLx69SqsIo1U0FatEu+DQoFu2FAoVp7c3LJM5AENtgtMT+UjNxNUBijAs4vXqhV54/7+d+DWW22+Sk4W+pqn45v8+6B4foy0PoSEUE3DG26w+bhPH1GpwVMFWv59UKwPjEJ+9spN3L16GScfef4pN4wyTOXs3UtGIqMSKZUjqBTobduA115zXEN+0SLKV5GbS+Vap08n637fvsZsF2HKoXt3LJYKK7927SgaGaAFiO6hdAdZgb72WvfPEzAYpd0OGECLoenTKyjTLVoAzZrR+/XrPav4s2KFeD9okPvnCRjkxYYn8tGfn4sXgbZtbb6KjbWN5Pdkn3rQyadfPxp8Ro60TYrkKg5W5g0aULIdgKIp9Upx7iDLJyjGN9lb7IkCXbcuMGYMTfx33GHzVXQ00LUrvd+5k3Ybucuvv4r3QaGgXXml8EZ6an2ohJo1xaN55Ihn+6BZQXMTWbblFOiICLGkS0kRidndQTaws3wYlzAig10lGK5A+2voWEkJMGEClffUyxiX58IFSmIbF0dRYZMmUSnQtWvp73rwQa922f9Zvx6YORO46SYRH+0KWVnCtZ+URCsWCYtFLAbz8txPKH3hgtiG2LEj7RE0PS1bCuvDunXuZWG7dInCi9etA7791m7coT6Z5ee7H0mZmysSebZpEyT1HZs1A+Lj6f2GDe7tU8/LExuT27QR8pbQld2iIvcjkQsKhI7SvDnVsDU9jRrRivzLL2m/ujsUFoqHonlzIW+Jy1XHUFpqu4h3heJioac3bEg1uk1PTIz4Q0tKjMkyaYfrrxfvZSOFK5SWCgWgbt3K1x+molYtsVF1zx7P9qk7wIgwbk0Tv42MDBL5ACSXOXOA//s/UafeFeQLV6OG3Y3JsrHV3edH08TYGBFh8gSwTEBhuAKtUNn3iFdeAQ4fpooIlfHtt+TImTABqF1bfB4XR46INWtoyyFzmVdfBZ57jrJkbtvm+u9XrxY3TLnwbR3ZmyJ7kV3h99+F83TgQPfOEXBYLOKa5ua6l+Xr5EmR7aYS+chRdb/84noTACln+vo3aOQDCOtDYaF7XrQ//xQXrhL5yAqAu/JZv17o94MG+a+R1HA8/UM3bRIX7uqr7Z5Pls/y5e41s3GjiDYPKvksWkQbV3fsULZpVTdwALZeZFfYupVsxQDNZ3r5MtMjXzx3tKddu+i5ee45UvbsICvQ7srnwAEgM5PeX3VVEOx/1vnmG2DqVJoY3LE+7NsnNo4PGCDitSVkBdpd+aSkCP0+OVmUl2MYX2OoAt2xI63n/C1J09GjNAbPmiVCTu2h6xj2+q9/ZkRZXdMgr/7cSVQlrxjlyVZCVqDdXWDKc3dQKWiydvvTT67/vl07WrikplIohh2uu04s2N1V0IIuPFjHU+uD/JtK4trkBbsRz09QycdTnIjbHTBALNjdlY/cTCXDqDnp1ctu1IXTLFtGSoSDGm/9+omERb/+6p6DIGjl46l16Ndfyfo9c2al4Rl9+4p60D/95F6+oGXLxPugGt/kMckd+cjzjyxriR49RGDhypXuBSrKpaqDav3G+D2Ge6D90bp6332012zyZMfH6Xto7JVo0T9ztM+mZcvKX3aS5AY+N91ESYwyMqhWsKu8+irNeg89VKkHrUUL4QTdsMH1fWiaBvzvf/Q+NLTSZsyJPKn9/LP752nRotK6OA0aiMitnTuBU6dcP72+gKlWLUj2B+oMGiTC4t2Rj76ysFgqXcBER4t9gvv3u1dRRra9BMX+2vLk5rrnQZNX5uUSIOlERYl9gseOiUyzriCvY4NKAfCUF18ERowA6tevdOCKiBDpJI4fFxUXXcEJO7E5ufJK2qgMuGd9cEJzCg8X9/yZM2Krliv88IN4P3So678PWK68UtSD/vln17Vb+cauZHwLCRFzxvnz7slHX78BtORkGH/BQS5q/yEnh7ZqOMvw4UC3bvR+4UIyYm7cWLVyryfZsRcioluhPUnEYzqaNKFyVu5Sowbtv/m//3N42M03U5iV1Upz6t13O9/Erl1UihIg5axOHfe7G3DExgK3305hFzfeqKyZG26gMEWAlK177nH+twcPijKffftSMumgoV498qJt3EjZIo8fd77Acloa/QagTWH161d66PXXiySUy5YB//iH811MTaUIWYC62qiR8781BVOm0L6foiLScBMSnPtdZqbY1tKtm0NP6fXXiwjKH34ge6KznDwpIqc6dQqS+tyVYbU6Xx/q7FmReKF1a4eJMW64QegK339vU+rWqWb0JNStW5u8Pnd5wsNp0v3xR3oe9uxxfoN+drZIUNWypci2Z4chQ4DvvqP3P/4IXHGF8128cMFWPuXyMJqbsDCy6CxZQjXWNm0ipdoZ8vNFUo24OIfyGTyYmgBom6QrORkvXRJjY7NmQZLfgQkYAiILd04OMHu28y89W/apU1S2atIk5xJD6MZSe9mE9Rqo+jH2OHas8pejslmMY265RbzXJ0pnkY+XzxM0fPUVJQBw1TXlQlKrIUPEe32idBZZPsOGufZbUyAbj1zxQstu4cGDHR4qe1W++cb5JgBa8OgEpXxiYkT6f9kjVhXysfIDYgd5XHJVPvLz426us4DmyBHK7tmuHZXYcJbatUlGkyZRCSsHyPe9q+Pb99+LsOKglI/smfz+e+d/t3y5CNu76SaHG/tl27Ac9OEMv/wiHK9B6d2U/2hXLt7q1WKNcP31DuVz883CrrV0qWvdW7FCDL9V3AYM43UCQoFu3Jiif5x9jRtHv3vqKXrgJkwgT4r+0p/71FTbkGxHYdp6roSgtvBXhaIMcr17U6gwQBOeKwmL5QXmzTcb2y9TM3QouVoee0xYjyqhTx+gaVN6v3w5OQ+cRVbQgtLAISu/ixc7/zs57rAKBbpbN+E4XbWKvGLOIsunXJnc4EC2Prgin0aNKOy0evUqFejEROHA+eMP17ZByAvSoJSP1Qq8+SZw6JBr8gkLI+XuzTdpjHNAy5ZUJAKgVB+uJCyWFe6gVKDlQd0V+bgQtxsXJ+SzZQslnXIWWT5VPKbmRLY+yHNKVXz9tXhfRdx7gwaiLPjBg65tg5Dnn6AKr2cCgoBQoN0lNZWyX3buTAtI/bVxI1kdExJsU+LroT/2am7rn/XqpbzbgcfWrcAjj5AXIDe36uMzMsjz9sEHThU/DQkRc2henvPj/NGjtlGUQVEeyQhOnaKMH/v30wpD379QCdWq0bYJgKzFzjoajh8XUZSdOomaxUFFr17ixlyxgkLpquL8eRFT2qSJWD1WgsVCWz0BGvecjeI4fVokB2/bVuQiCCo6dxZxnWvWOK/d3nQTyfPsWacmDf350TTnvTRZWSK3Uny8qFkcVLRtSzIKDaUN/7q7ymBk5ddZ+Vy8KBKINW0apGuHFi2Anj3p/Y4dzhUDLioS3tCoKKcSl4waJd5//rlzXbt4UcxV9esHWX4UncaNxY25cycZoqqiuFhotlFRle5/lpGNe85GceTliWNr1+b6z4z/YWoF+oUXaLIr/+rYkRb9S5dSJQydYcMop8LChbaJOY8fp0jYfv2c3wIXVCxYAMybR3XCnNFuv/ySXMn33EMeACe4807x/sMPneuWfJw8wQYlJ0/StXYm2/PXX4u4w7vucipu6vbbxfuvvnKuSx99JIIWdAUv6LBYqEYeQNqtM6vzxYtF+ao77nBq36d8fb/80rmuffyxbfhpUIbPWSzi5rZaXY/hrV3bqcyaugINOK8AfP65iHINWvkANJCcOkXbGuyU0jECWYH+9FPnfrN4sdDnhw1zfnu26ZAHH2eqQfz4IxkJAXI7OiHTO+4Q7z/91LlguKVLRTTbqFFBVL6qPPLiyJmb+7ffRF22oUMpl00VyAq0PO874rvvRHm+22+v0o7PMN5HC0IGDNC0kBD7373zDgWCd+qkaW++qWmvvKJp8fGaFhmpadu2ud9maGioFhoa6v4J/JmVK0UE/bBhVR9/883i+EOHnGqipETT4uLoJyEhmnbqlOPjS0s1rXlzOr5aNU07ccKpZszJzp2aZrHQxRg8uOrj+/QR8tmzx6kmSks1rWlTIZ+MDMfHW62a1rq1aCYlxalmzMmmTeJCDBxY9fH9+4vjt251qgmrVdMSEugnFoumHT1a9fEdOohmDhxwqhlzsmOHuBBXXaWkCatV09q3F83s21f1b7p1E8fv3KmkW+bkqac07b//1bRz55z+idWqaUlJ4npv3171b+RhdONG97sb8Bw9qmnTptECymqt+vhbbxUX7uefnW6mb1/X5DNokDj+zz+dbsZ8nDgh1gctW1YtoxdfFBduyRKnm7nmGvGzNWuqPn7wYHH86tVON2M6TK07qGbPHrq3161TcnpWoO3w9deadsUVmlajhqbVqaNpQ4bQGsoTTP0QlJRoWuPGNNJVr65pJ086Pt5qpRnrpZdcambqVDGgvvyy42NXrBDH3nijS82Yj9JSTWvWjC5GWJimnT1b+bEHDogL17mzS83MmCF++swzjo9ds8Y1ndHUWK20cHHGqJSSIo5r1865Bell/vUv8dMnnnB87Pr14th+/ZxuwpyUtybs3l35sZmZtOgvLna5mddeE008/LDjY7duFcdecYXLTQUvf/1Fkz9AFjwXnp+33xbX/J//dHzsrl3i2C5dXGomuDl3jtYQgKbFxrr0HMnymTDB8bGHDgmdsVUrlo+NNcEZZWPPHk178EFNy8tzuolPPxVNjB3r+NjUVPGYNm9OS5hgxdS6g2oUK9BBGVS0erXjuswjRtA+6bw82qL7ww9Bur/MWUJCROa24mLg7bcdH2+x0ObzJ55wqRm9CQB4/XX72dJ15s4V710pq2RKqlWjPepTplAWD0e1ouRMtmPHutTMvfeKaNV333W8HVFuJujlY7HY1pZ6663Kj503T7wfM8aluN2//12EKb73nuNkfG+8Id57UqnOFFgswP33i//Pn1/5sfPmUX6HuDjnwlUlxo4VJRQ/+MBxOgl558uECS41Y24KCuwnMdF5+22RdnnECJeen7vuElU4PvnEdpuXvWZ07rsviMPrXeXdd8X2lNGjXSpfMno07ZgAaPvJX39Vfuwrr4gw4nvvZfngb38T7+U5pjI6dqRFmBPh2zq33kppCgDa5uUoncSrr4rH9O9/D+LtD4x/o0QtZypgeivS8eOaFhpKJsN69VyyTLqCHP29YIH9YzZuFMe0aKFpRUVKumI+Tp/WtIgIunC1amnahQsun2L4cHHt337b/jHbt4tjYmM1LT/fs26bgnPnNC06WtP+9jdN27zZ/jFnz2pazZp04WrU0LQzZ1xu5s47xbV/9VX7x+hGW0DT6tfXtJwcl5sxH9nZmhYVRRelZk1NO3++4jEXL2pa7doi0qOqSBw7jB0r5PPii/aPOXRIeGfq1KGuMZqmvfACzT0REfafjUuXNK1uXbpwoaFu7RsZP17I59ln7R9z7JhwokZGalpWlsvNmJuCAvtzS26upjVsKPaZHDzo8qmnTKk6CurUKU0LD6djoqJYPpqm0STcqJG49k5urXOVRx8V8nnoIfvHGDDNmQrT6w4qYQ80ExA0bSqSIZ07B/z3vxWP2bBBmBXdZNo08f7FFyt60TQNmDFD/P/pp4M4OYirvPaauKD33gvUqePyKeSKMDNm2PfSzJwp3k+dyslBAFC94RMnyHWiZ60tz5tvUlgMQGb5+vVdbuaJJ4S3ZdYskQtGZuZM4Z158kkgMtLlZsxH7drA3XfT+7w82xAXnagoSut74410bGysy81MnSq8LXPm2E/KPnOmGEYfe0x43YKes2fpghUUAP/6V8Xv33lH3PB33UWpy11k6lThFH3lFcpUX57nnhNO1EceEV63oKe4mDzMbdoA06dX/P7dd8UFHTlSZL93gQcfFFFQr7wCpKVVPGb2bBG9dt99LB8ANAk//DC91zTgpZcqHrNvn+OwPyd4/HERxfHf/9ovGTtnjpjmJkxwa5pjGO+gRC1nKhAUVqTt24Xrqk4d8krr7NpFZvmuXT3OCHH99cKK+eSTtt998YX4rlkzMnYzdjh2TNPS08X/9+8XZvnq1TUtLc3tU48cWbmVeelS9j67zaZNmtazJ7kfq8oC5gDZy3n//bbf/fij+K5RI3IKMZdJSSHPMkDPyv79lR9bUuJ2MxMmCBmMH2/7nZzboV49cnozlzl+XETQVK9uu1f9+HERHWCxOJelrRL++U8hg9Gjbb9bs0ZMgXXrsnfThlOnhGsxJMQ2892pU5oWE2NIVrwHHhCnGTrUdn/zhg0ieqNmTdslStBz4YLtM7Jhg/juzBmKDoiP17SPP/Zo0/gTTwj53HKL7am2bBGBjOHhtBc62AkK3UEVe/ZQFmFOIhbYBM1DMG6cGB379KH4wsxMTWvbVnw+fbpHTezZI0LkAE17/336fN06EWUJkDLNlMNq1bRFi+hC9ehBoainT2tax47iwj3+uEdNHDsm9AyAMttrGul/deqIzz/80PM/x9Rs2lQx4VtJCWX48oC0NKFnAJr2xht0W2zbJiJcHW2RCGoef1xcoI4d6dkxeI/I8eMU+qs3M3cuyWfXLgqp1z9/6y1DmzUH06fbJtnLzKQ5SE6Jfc89HjWRmSn0DEDTZs8m+ezbJ6JgAargwZRj1iy6OHfeKaxzly5Rdnv9wt15p0dNXLggcpoClNzSaqWIcL1ShC43phwvv2y7/03PVH/PPeLz4cM9auLsWRGpD1BSfKtV044cEZVTHG2RCDZ8pjvk59Mi4JZbyHASEUH3xLBhlW8z0zRN++YbTevdmyxU0dGadtNNlRvEcnPJC9aiBS0aW7Sg/xtluecs3OYgaBToc+dsZ6mYGNpPq/+/SxdD3I7yOA9QQlXdsqzPwUGfWdMely7RIKVfqLp1beXToYMhg9cbb9jKp1UrW/ncdhvLxyGLF5MJvlkzj7yZlfHf/1aUj275B2jOY/nYITfXtt5U7dqk1TrKzO0G779vK5+WLW2NhtdfH9yZaSslP5+qB+gXqlYtW6tQs2aOqxA4yWef2conPt5WPldfreSxDXwKC+nmlgeXjz8WF65xY8qU7iFLltjKp0ULEWAFaFpysluJ8s1PUZEwNt1/v5DT6dNUjqF+fbdyO5Tn++8rykc26vbqRbcK40PdYf9+EsaVV2razJmatnChpj39NI2nFgulVS/PwoX0G70O8Ny5NDhGRVUsZVRSQiWRAE0bM0bT3n2XMruHhBg7gCociFmB9hJBo0BrGoVyR0fbjpAAFXI2qOCv1WobqiW/Bg7k0FOH7N5N8Z/lL1yTJoYlD7FabROGyK/+/UmPZyohO5vi2/ULZrBypmkkn6eesi+f5GROTOWQw4fpWZEv2jXXGG5xmDnTvnx69uTQYIccOybK9smvmBgKszAIuRyu/EpKcqnENFNcrGlt2tCawcCC2a+8Yl8+nTqRPshUwvHj5AUsb6ErKNC0vXsNa+aNN8R2B/mlB44whM90h7Nn7Y+Xe/eSt7hRI9t7JCuLDMpxcbYLiIwMMmT27297nkWLSOCTJ9t+Pm8eff7ee4b9KapgBdpLBJUCrWm0iBkxgmIR69Sh0G4DLMsyVisZr7t0IaNVfDwtathy6QRpaZo2ahRZBmvVIgugAZZlGatV0z7/nBaUISEUnjVrFu9Ld4qMDE276y6Szbx5ypr5+mtN696dvM9xcRQ2x/vSneDECXpmatemZ2jUKCVWoW+/JYU5NJQCe6ZNY+OgU2Rm0pxTpw7JZ8QIihE1mB9+oGjF0FCyeT35JGetd4vVq93Kul0VP/9MDrTQUFrvT5nCxlt/YsUKTevbl6I3GjbUtIcfZuNtefxSd+jWjZRc2dKhh03NnFnxeL18gexA073P5Te65+eT3nD11Qo6biwWTdM0XycyCwaqX04FXayn52QYhnEGTVNeqNQLTZgTL104lg/DuA8/P/4Ny6dyqlevjtiSEqQnJFR+0LFj3uuQ1QrExVHFg+xsUUbl/vsptfry5cB119n+5r33gPHjgS+/pAz7mgbUqkWVXk6cqNhG//7Atm3ApUt+fWNwGSuGYRh/xgsTiB/PUf6Nly4cy4dh3IefH/+G5RNALFgAZGYCo0bZ1iDVa5LFxVX8jf6Zfsz580Burv1j9eNzc+3X2fQjQn3dAYZhGIZhGIZhGMaWzNBQ973MOTlUXNtZhg8HunWz/90ff1C98Lg4KrQuoxfvDg+v+Dtd0daPcXRs+eNjYpzuurdhBZphGIZhGIZhGMZM5OQAs2c7f3zr1vYV6K1bgZtuorDr5cuBBg1sv69Zk/4tLKz42/x822McHWvveD+FFWiGYRiGYRiGYRgz0bgx7Tn2hG3baF9zRASwciXQoUPFY+Qw7fLf6/uc9WNiYkg51kO6y3PiBBAZCdSt61m/FcN7oBmGYRiGYRiGYRjB9u2kPIeHA6tWAYmJ9o+74gr6d/36it/pn/XqRf9aLEDPnsDJk0Bamu2xBQWksPfs6feb41mBZhiGYRiGYRiGYYjt24FBg8jzvHq1fc+zzrBhlFl74ULg4kXx+fHjwFdfAf36AXIm8TFj6N/ye6kXLKAEYvr3fgyXsfISXMaKYRiGYRiGYRhn8JnukJYG9OhBGbOfeQZo06biMdddBzRqJP6/YAEwcSLQqRP9W1QEvPkmcOYMsHat7d7q0lLgmmvo87FjqXTVrl3A/PlAcjJ5u0NC1P+dHsAKtJdgBZphGIZhGIZhGGfwme6wejUpuI5YtQq4+mrbzxYvBv79b2D3biAsjDzPs2cDXbtW/H1ODvD881QfOjMTiI2l8ljPPgtERRn1lyiDFWgvwQo0wzAMwzAMwzDOwLqD/8IKtJewXN4MHxrKic8ZhmEYhmEYhqmckpISAACrav4HJxELUkpKSsoeTIZxFr5vGHfhe4dxB75vGHfhe4dxB75vGGdgd6iX8DfrUcuWLQEAx44d83FPmECC7xvGXfjeYdyB7xvGXfjeYdyB7xvGGdgDzTAMwzAMwzAMwzBOwAo0wzAMwzAMwzAMwzgBK9AMwzAMwzAMwzAM4wSsQDMMwzAMwzAMwzCME7ACzTAMwzAMwzAMwzBOwAo0wzAMwzAMwzAMwziBRfO3+koMwzAMwzAMwzAM44ewB5phGIZhGIZhGIZhnIAVaIZhGIZhGIZhGIZxAlagGYZhGIZhGIZhGMYJWIFmGIZhGIZhGIZhEhur8gAAEM1JREFUGCdgBZphGIZhGIZhGIZhnIAVaIZhGIZhGIZhGIZxAlagg4wlS5agT58+iIyMRN26dTF06FDs2rXL191i/JhDhw5hxowZSE5ORsOGDREVFYXOnTtj6tSpyMrK8nX3mAAiNzcXCQkJsFgsmDBhgq+7w/g5Fy9exPTp09GhQwfUqFEDMTEx6N27Nz755BNfd43xU3JycvDiiy+iS5cuqFWrFurVq4devXph/vz5KC4u9nX3GB8zZ84cjBo1Cm3atEG1atUQGhrq8Pi8vDw89dRTiI+PR3h4OOLj4/HUU08hLy/PSz1m/BXHdw5jKhYtWoQJEyagU6dOeOmll1BYWIi33noLffv2xR9//IGuXbv6uouMH/Lee+/hrbfewtChQ3HHHXcgLCwMq1atwpw5c/DZZ59h06ZNaNSoka+7yQQA06dPx9mzZ33dDSYAOHHiBK655hqcOXMG99xzDzp27Ijc3FwcOnQIaWlpvu4e44eUlJRg0KBB2Lx5M8aOHYsHHngAhYWFWLp0KSZNmoT169fj008/9XU3GR8ydepUREdHo1u3bsjJycGZM2cqPba0tBSDBw/G77//jjFjxqB///7YvXs35s6di40bN2LFihUICQnxYu8Zv0JjgoKsrCytdu3aWlxcnJadnV32eUZGhlarVi2tf//+Puwd489s3rxZy8rKqvD5tGnTNADaY4895v1OMQHHpk2btJCQEO3VV1/VAGjjx4/3dZcYP+baa6/VGjVqpKWmpvq6K0yA8Ouvv2oAtClTpth8XlpaqvXs2VOzWCx25zImeDhy5EjZ+wEDBmghISGVHrto0SINgDZ58mSbz+fNm6cB0N577z1l/WT8Hw7hDhK+/fZbXLx4ERMmTEDt2rXLPo+Li8PIkSOxZs0apKam+q6DjN/Ss2dPREdHV/h85MiRAIDdu3d7uUdMoFFcXIwJEyZgyJAhuPXWW33dHcbPWbduHVauXIknn3wSLVq0QGlpKXJycnzdLcbPuXDhAgCgSZMmNp9Xq1YNsbGxqFatGsLDw33QM8ZfaNWqldPHfvTRRwCAKVOm2Hw+ceJEREZGln3PBCesQAcJGzduBAAkJydX+E7/bNOmTV7tExPYnDhxAgDQsGFDH/eE8XdefvllHDt2DG+99Zavu8IEAMuWLQMAtGnTBiNHjkSNGjVQq1YtNGnSBC+88AJKS0t93EPGH+nbty9q1qyJOXPm4KuvvkJ6ejoOHz6Mf/3rX1i2bBmmT5+OGjVq+LqbTACgaRq2bNmCJk2aoEWLFjbfRUREoHv37ti8eTM0TfNRDxlfw3ugg4Tjx48DII9zefTP9GMYpipKS0vxwgsvAADGjRvn284wfs3Bgwcxa9YszJkzB82aNeNIF6ZK9u/fDwAYP3484uPjsXDhQlgsFrz99tt45plnkJ6ejgULFvi4l4y/ERsbi6VLl+L+++/HqFGjyj4PDw/HggULMH78eB/2jgkkzp8/j9zcXHTs2NHu93FxcVi7di2ysrIQExPj5d4x/gAr0EGCnjHQXvhSRESEzTEMUxUPPfQQ1q9fj4kTJ+Laa6/1dXcYP0XTNNx7773o2LEjJk+e7OvuMAHCpUuXAAA1a9bEmjVryuatUaNGITExEQsXLsSUKVPQrl07X3aT8UMaNGiAzp07Y+DAgbj++uuRn5+Pjz76CPfddx8AsBLNOIWjNTNgu25mBTo44RDuIKFmzZoAgMLCwgrf5efn2xzDMI6YPn065s+fj9tuu41DchmHvPPOO1i/fj0WLFjA2UoZp9HDbO+66y6bBWxYWBhGjx4NTdOwatUqX3WP8VN2796N5ORktG/fHgsWLMCIESMwZswYLF++HMnJyZg8eTL++usvX3eTCQAcrZkBXjczrEAHDY7CtPW9rPbCuxlGZubMmZg9ezZuvfVWfPHFF1XWUGSCl+zsbDz11FMYOXIk6tWrh9TUVKSmppaNQTk5OUhNTS1L/MMwOs2aNQNAIbnl0T87f/68V/vE+D/z5s1DQUEBbr/9dpvPLRYLRowYgfz8fGzYsMFHvWMCiZiYGNSsWbPSrY0nTpxAZGQk6tat6+WeMf4CK9BBwhVXXAEAWL9+fYXv9M969erl1T4xgcVzzz2H5557DsOHD8dXX32F6tWr+7pLjB+TlZWF7OxsfP7550hISCh7XXXVVQCAL7/8EgkJCZg7d66Pe8r4G3369AEAZGRkVPguPT0dALj2PFMBXdmxl2SuuLgYANWKZpiqsFgs6NmzJ06ePFmh7nxBQQG2bduGnj17wmKx+KiHjK9hBTpIGDZsGGrVqoWFCxfi4sWLZZ8fP34cX331Ffr164eEhAQf9pDxZ55//nnMnDkTI0eOZM8z4xQNGzbE0qVLK7zeeecdAMCgQYOwdOlSjB492sc9ZfyNW265BdHR0fjoo4+QnZ1d9vmlS5fw4Ycfonr16rj++ut92EPGH9ETPn3wwQc2nxcXF+OTTz5BtWrV2FHAOM2YMWMAAK+88orN5wsWLEBubm7Z90xwYtE4B3vQsGDBAkycOBGdOnXCxIkTUVRUhDfffBNnzpzB2rVr0a1bN193kfFD5s+fj0mTJqFZs2aYNWtWhb2sUVFRGDZsmG86xwQcqampSEhIwPjx47Fw4UJfd4fxUz766CPcfffdaNu2LSZMmACLxYJFixbhwIEDmD17Np5++mlfd5HxM9LT09GjRw+cPXsWQ4cOxQ033IC8vDx88skn2LVrFx588EG8/vrrvu4m40M+/vjjMo/yokWLkJ6ejueee67s++nTp5e9Ly0txTXXXIO1a9di7Nix6N+/P3bt2oX58+cjOTkZq1at4tweQQwr0EHG4sWL8e9//xu7d+9GWFgY+vXrh9mzZ6Nr166+7hrjp4wbNw4ffvhhpd+3aNGCSxMxTsMKNOMsP/30E+bMmYOtW7fCarWic+fOeOSRR3DHHXf4umuMn5KamopZs2bh119/RWZmJsLCwtCxY0fce++9ZYYYJni5+uqr8fvvv1f6fXmVKCcnB88//zy+/PJLZGZmIjY2FqNGjcKzzz6LqKgo1d1l/BhWoBmGYRiGYRiGYRjGCXgPNMMwDMMwDMMwDMM4ASvQDMMwDMMwDMMwDOMErEAzDMMwDMMwDMMwjBOwAs0wDMMwDMMwDMMwTsAKNMMwDMMwDMMwDMM4ASvQDMMwDMMwDMMwDOMErEAzDMMwDMMwDMMwjBOwAs0wDMMwDMMwDMMwTsAKNMMwDMMwDMMwDMM4ASvQDMMwDFOODz74ABaLBR988IGvu+IS58+fR0xMDCZNmuTW75csWQKLxYLffvvN4J4xDMMwjDlgBZphGIYxNRaLxaVXoCnNMs8++ywKCgowbdo0t35/2223oXv37nj00UdhtVoN7h3DMAzDBD6hvu4AwzAMw6hkxowZFT6bN28esrOz8dBDDyE6Otrmu6SkJCQkJKBPnz6IjY31Ui89Jz09He+88w7uu+8+j/r91FNPYeTIkfjiiy9w1113GdhDhmEYhgl8LJqmab7uBMMwDMN4k/j4eKSlpSElJQXx8fG+7o4hTJs2DS+++CI2bdqEXr16uX2ewsJCxMbGIjExEX/88YeBPWQYhmGYwIdDuBmGYRimHJXtgY6Pj0d8fDxycnLwyCOPoFmzZqhRowaSkpLw7bffAgCKi4vx/PPPo02bNoiIiECrVq0wf/78Stv65ZdfMHjwYNSvXx/h4eFo1aoVHn/8cVy4cMHp/mqahvfffx8JCQl2ledTp07h0UcfRbt27RAZGYnatWujdevWGDt2LI4ePWpzbHh4OIYNG4Z169bhwIEDTveBYRiGYYIBDuFmGIZhGBcoLi7Gddddh/Pnz+OWW25BUVERPv/8cwwfPhzLly/H66+/jm3btuHGG29EeHg4Fi9ejEmTJqF+/foYNWqUzbmef/55zJgxA/Xq1cOQIUPQsGFD7Nq1C3PnzsWPP/6I9evXo06dOlX2ac+ePcjMzMTo0aMrfJeXl4fk5GSkpKTguuuuw9ChQ6FpGtLS0vC///0PI0eORKtWrWx+k5ycjPfffx+//vor2rdv79kFYxiGYRgTwQo0wzAMw7jAyZMn0b17d6xevRrh4eEAgDFjxqB///4YPnw42rRpgz179pTtrX7sscfQtm1bzJkzx0aBXrVqFWbMmIG+ffti2bJlNoryBx98gHvuuQczZszAvHnzquzTunXrAAA9evSo8N2KFSuQkpKChx56qMK5ioqKUFhYWOE3uhd7zZo1mDx5cpXtMwzDMEywwCHcDMMwDOMir7/+epnyDABXXXUVEhISkJ2djZdeeskmMVl8fDz69euH3bt3o7S0tOzzN954AwCwYMGCCl7mcePGISkpCZ999plT/UlPTwcANGrUqMJ3FosFAFCzZs0K34WFhaFWrVoVPm/cuDEAICMjw6n2GYZhGCZYYA80wzAMw7hAdHQ0WrZsWeHzJk2aICUlxa4XuEmTJigtLcWpU6fQtGlTAMCff/6J6tWr46uvvrLbTlFREc6cOYNz586hXr16Dvt07tw5AEDdunUrfDdgwAA0bdoUc+bMwfbt2zF48GAkJycjKSkJISEhds8XExMDADh79qzDdhmGYRgm2GAFmmEYhmFcoLI9yaGhoZV+r39XXFxc9tm5c+dQUlKC5557zmF7OTk5VSrQNWrUAAAUFBRU+K527drYsGEDZsyYge+//x4///wzAKBBgwZ44IEHMG3atLL+6eTn59ucl2EYhmEYghVohmEYhvEBderUgdVqxfnz5z0+V8OGDQEIT3R54uLisGjRImiahn379mHlypWYP38+Zs6cCavVWkGJ18+jn5dhGIZhGIL3QDMMwzCMD+jTpw+ysrKwd+9ej8/VpUsXAKiy7JTFYkHHjh0xefJk/PrrrwCApUuXVjhOP09SUpLHfWMYhmEYM8EKNMMwDMP4gEceeQQAcO+99+LkyZMVvs/NzcWGDRucOtdVV12FkJAQu8fv2bMHqampFT7/66+/AAAREREVvtPPc8011zjVPsMwDMMECxzCzTAMwzA+YODAgZgzZw6mTp2KNm3aYPDgwUhISEBOTg7S0tLw+++/o1+/fmV7lh1Rp04dDBw4EKtXr0ZWVpZNMrEVK1bg0UcfRXJyMtq3b4+GDRvi+PHj+O6772CxWPD4449XON/y5csRHR2Na6+91tC/mWEYhmECHfZAMwzDMIyPePLJJ7FmzRoMGTIE69atw7x58/D111/jxIkTuO+++/DCCy84fa5//vOfKCoqwhdffGHz+Q033ICHH34YBQUF+O677/DKK69gzZo1uO666/DHH3/g9ttvtzn+0KFD2LBhA+6++267pa8YhmEYJpixaJqm+boTDMMwDMN4RmlpKTp37oywsDBs3769rP6zq0yZMgVvvfUW9u/fb7dcF8MwDMMEM+yBZhiGYRgTEBISgrlz52Lnzp1YsmSJW+fIzMzEf/7zH0yePJmVZ4ZhGIaxA++BZhiGYRiTMHjwYLz++ut260E7Q2pqKp588kk89NBDBveMYRiGYcwBh3AzDMMwDMMwDMMwjBNwCDfDMAzDMAzDMAzDOAEr0AzDMAzDMAzDMAzjBKxAMwzDMAzDMAzDMIwTsALNMAzDMAzDMAzDME7ACjTDMAzDMAzDMAzDOAEr0AzDMAzDMAzDMAzjBKxAMwzDMAzDMAzDMIwTsALNMAzDMAzDMAzDME7ACjTDMAzDMAzDMAzDOMH/A7fymD8u6Fo+AAAAAElFTkSuQmCC", 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