{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Partial Differential Equations (PDEs)\n", "### Parabolic PDEs, explicit and implicit numerical schemes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Context**\n", "\n", "Parabolic PDEs are common problems in engineering and often represents a diffusion problem. Such a diffusion problem could be associated to heat conduction, unsteady boundary layers or flow in porous media.\n", "\n", "These equations often involve a time dependency in addition to spatial dependencies.\n", "\n", "For a heat conduction problem, the parabolic PDE in 3D will be expressed as:\n", "\n", "$$ \\frac{\\partial T}{\\partial t} = \\alpha \\left( \\frac{\\partial^2 T}{\\partial x^2} +\\frac{\\partial^2 T}{\\partial y^2} +\\frac{\\partial^2 T}{\\partial z^2} \\right)$$\n", "\n", "where $\\alpha$ is the thermal diffusivity defined as $k/(\\rho c_p)$.\n", "\n", "In a fluid problem, the parabolic PDE in 1D will be expressed as:\n", "\n", "$$ \\frac{\\partial u}{\\partial t} = \\nu \\frac{\\partial^2 u}{\\partial y^2}$$\n", "\n", "where $\\nu$ is the fluid kinematic viscosity defined as $\\mu/\\rho$." ] }, { "attachments": { "image.png": { "image/png": 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} }, "cell_type": "markdown", "metadata": {}, "source": [ "**Underlying problem**\n", "\n", "In this notebook, we are going to investigate the heat conduction problem in a 1D bar (again :)). In 1D, the heat conduction problem is represented by:\n", "\n", "$$ \\frac{\\partial T}{\\partial t} = \\alpha \\frac{\\partial^2 T}{\\partial x^2}$$\n", "\n", "The underlying problem is illustrated below where we are interested by the temperature distribution in a bar of length 1m within the timeframe [0,1s].\n", "\n", "![image.png](attachment:image.png)\n", "\n", "In such a problem we need to define initial conditions, in addition to boundary conditions, due to the presence of $\\partial u / \\partial t$.\n", "\n", "As boundary conditions we will enforce that:\n", "\n", "1. $T = 50^\\circ\\text{ deg} $ for $x = 0$ and for all instance of time $t$\n", "2. $T = 50^\\circ\\text{ deg} $ for $x = 1 \\text{ m}$ and for all instance of time $t$\n", "\n", "In addition we will use as initial condition:\n", "\n", "3. $T = 200^\\circ\\text{ deg} $ for $ 0= t)[0][0])\n", " return indexes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Out of the simulation we carried out using the explicit scheme we plot the distribution of the temperature for $t=0.1$ s, $t=0.25$ s, $t=0.5$ s, $t=0.75$ s and $t=0.99$ s. We can see that the temperature in the bar is reducing over time while at the borders (when $x=0$ and $x=1$) we have a fixed temperature." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time_plots = [0.1,0.25,0.5,0.75,0.99]\n", "indexes = find_indexes(time_plots,time)\n", "for indx in indexes:\n", " plt.plot(x,T[indx,:],label='Time = {0:2.2f} s'.format(time[indx]))\n", "plt.legend()\n", "plt.grid()\n", "plt.xlim([0.0,1.0])\n", "plt.ylim([50.0,220.0])\n", "plt.xlabel(r'Coordinate $x$ along bar (m)')\n", "plt.ylabel(r'Temperature $T$ along bar ($^\\circ$C)')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We try another simulation where we use a different timestep $\\Delta t = $ 0.00025 s. Here we plot the temperature distribution at $t=0.1$ s. We observe that the temperature is oscillating significantly around a value of zero. Clearly in this case the solution is unstable. Indeed, an explicit scheme is conditionally stable and we use a too big timestep we are in an unstable regime. As discussed earlier the conditions for a stable computation will be discussed as part of another lecture." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "delta_t = 0.00023\n", "time = np.arange(0.0,0.11,delta_t)\n", "ntimestep = len(time)\n", "#\n", "T = explicit_scheme(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha)\n", "#\n", "time_plots = [0.1]\n", "indexes = find_indexes(time_plots,time)\n", "for indx in indexes:\n", " plt.plot(x,T[indx,:],label='Time = {0:2.2f} s'.format(time[indx]))\n", "plt.legend()\n", "plt.grid()\n", "plt.xlim([0.0,1.0])\n", "#plt.ylim([50.0,220.0])\n", "plt.xlabel(r'Coordinate $x$ along bar (m)')\n", "plt.ylabel(r'Temperature $T$ along bar ($^\\circ$C)')\n", "plt.tight_layout()" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "**Implicit method scheme**\n", "\n", "To avoid unstable solutions, one possibility is to employ an implicit resolution technique. To derive this numerical scheme we will approximate the partial derivatives involved in our PDE with finite differences evaluated at time $k+1$ instead of time $k$.\n", "\n", "The partial derivative with respect to time is evaluated using a backward finite difference:\n", "\n", "$$ \\frac{\\partial T}{\\partial t}\\bigg|_i^{k+1} \\approx \\frac{T_i^{k+1} - T_i^{k}}{\\Delta t}$$\n", "\n", "and a centered FD for the space:\n", "\n", "$$ \\frac{\\partial^2 T}{\\partial x^2}\\bigg|_i^{k+1} \\approx \\frac{T_{i+1}^{k+1} -2 T_i^{k+1} + T_{i-1}^{k+1}}{\\Delta x^2}$$\n", "\n", "We combine the FDs and the PDE to express the numerical scheme:\n", "\n", "$$ \\frac{T_i^{k+1} - T_i^{k}}{\\Delta t} -\\alpha \\frac{T_{i+1}^{k+1} -2 T_i^{k+1} + T_{i-1}^{k+1}}{\\Delta x^2} = 0 $$\n", "\n", "$$ \\left( T_i^{k+1} - T_i^{k} \\right) - \\left(\\frac{\\alpha \\Delta t}{\\Delta x^2}\\right) \\left( T_{i+1}^{k+1} -2 T_i^{k+1} + T_{i-1}^{k+1} \\right) = 0 $$\n", "\n", "to simplify the equation, we can introduce the Fourier number $\\gamma$ defined as $\\gamma = \\alpha \\Delta t / \\Delta x^2$, re-arranging the terms we get the following numerical scheme:\n", "\n", "$$ -\\gamma T_{i-1}^{k+1} + \\left(1-2\\gamma\\right) T_i^{k+1} - \\gamma T_{i+1}^{k+1}= T_i^k$$\n", "\n", "Such a numerical scheme can be referred to as BTCS, Backward in Time and Centered in Space. The stencil of the numerical scheme is shown below where we can see that two levels along time are involved and a single term is placed at time $k$.\n", "\n", "![image.png](attachment:image.png)\n", "\n", "This numerical scheme is implicit which means that the solution $T_i^{k+1}$ depends on the solution at $k+1$ in other grid points. Such a scheme implies an unconditionally stable solution at the expense of a larger computational cost.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Implementation of the implicit method**\n", "\n", "As for the explicit method, we implement the implicit one into a dedicated function. At every timestep we need to solve the system of equations imposed by the implicit equation. This is carried out using a direct approach as in the elliptic PDEs chapter." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def implicit_scheme(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha):\n", " T = np.zeros([ntimestep,nx])\n", " T[0,:] = T_init\n", " #\n", " T[:,0] = T_left\n", " T[:,-1] = T_right\n", " #\n", " gamma = alpha*delta_t/delta_x**2.0\n", " #\n", " A = scipy.sparse.diags(diagonals=[(1.0+2.0*gamma),-gamma,-gamma],offsets=[0,-1,1],shape=[nx,nx],format='csc')\n", " A[0,0] = 1.0\n", " A[0,1] = 0.0\n", " A[-1,-1] = 1.0\n", " A[-1,-2] = 0.0\n", " #\n", " for k in range(1,ntimestep):\n", " T[k,:] = scipy.sparse.linalg.spsolve(A,T[k-1,:])\n", " return T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the implicit scheme we determine the temperature distribution in the bar using a timestep $\\Delta t = $ 0.0025 s which was problematic for the explicit method. Here we can see that the solution is stable until the end of the analysis demonstrating the stability of such approach." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_t = 0.001\n", "time = np.arange(0.0,1.0,delta_t)\n", "ntimestep = len(time)\n", "#\n", "T = implicit_scheme(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha)\n", "#\n", "time_plots = [0.1,0.25,0.5,0.75,0.90]\n", "indexes = find_indexes(time_plots,time)\n", "for indx in indexes:\n", " plt.plot(x,T[indx,:],label='Time = {0:2.2f} s'.format(time[indx]))\n", "plt.legend()\n", "plt.grid()\n", "plt.xlim([0.0,1.0])\n", "plt.ylim([50.0,220.0])\n", "plt.xlabel(r'Coordinate $x$ along bar (m)')\n", "plt.ylabel(r'Temperature $T$ along bar ($^\\circ$C)')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If an implicit scheme is unconditionally stable, one could wonder why not use this type of numerical method over the explicit solution scheme in all cases. The answer to such question lies in the computational efforts associated with the inversion of a matrix to solve the system of equations. This operation can be quite costly if repeated several times. In order to investigate this aspect we will carry out a range of computations using the explicit method and the implicit one and compare their computational costs. We use timestep $\\Delta t$ sizes leading to different number of timesteps to challenge these methods." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/sw/ygvkmyvx4r5c9lgd61_prj1c0000gn/T/ipykernel_54902/2078805740.py:11: RuntimeWarning: overflow encountered in scalar add\n", " T[k,i] = (T[k-1,i+1]+T[k-1,i-1])*gamma+T[k-1,i]*(1.0-2.0*gamma)\n", "/var/folders/sw/ygvkmyvx4r5c9lgd61_prj1c0000gn/T/ipykernel_54902/2078805740.py:11: RuntimeWarning: overflow encountered in scalar multiply\n", " T[k,i] = (T[k-1,i+1]+T[k-1,i-1])*gamma+T[k-1,i]*(1.0-2.0*gamma)\n", "/var/folders/sw/ygvkmyvx4r5c9lgd61_prj1c0000gn/T/ipykernel_54902/2078805740.py:11: RuntimeWarning: invalid value encountered in scalar add\n", " T[k,i] = (T[k-1,i+1]+T[k-1,i-1])*gamma+T[k-1,i]*(1.0-2.0*gamma)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "100000 4.442323923110962\n", "50000 2.273837089538574\n", "33334 1.4893639087677002\n", "25000 1.0989489555358887\n", "20000 0.8836591243743896\n", "16667 0.7489688396453857\n", "14286 0.6386950016021729\n", "12500 0.5764589309692383\n", "11112 0.4940800666809082\n", "10000 0.4509592056274414\n" ] } ], "source": [ "timesteps = np.linspace(1e-5, 1e-4, 10)\n", "time_cpu = np.zeros_like(timesteps)\n", "time_step_cpu = np.zeros_like(timesteps)\n", "#\n", "nx = 100\n", "x = np.linspace(0.0,1.0,nx)\n", "delta_x = x[1]-x[0]\n", "#\n", "import time\n", "#\n", "for i,dt in enumerate(timesteps):\n", " tmp = np.arange(0.0,1.0,dt)\n", " ntimestep = len(tmp)\n", " start = time.time() \n", " T = explicit_scheme(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha)\n", " end = time.time()\n", " time_cpu[i] = end - start\n", " time_step_cpu[i] = ntimestep\n", " print(ntimestep, end - start)\n", "#" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100000 3.404738187789917\n", "50000 1.818176031112671\n", "33334 1.2509500980377197\n", "25000 0.9478850364685059\n", "20000 0.7520492076873779\n", "16667 0.6037173271179199\n", "14286 0.5411579608917236\n", "12500 0.4476621150970459\n", "11112 0.42619895935058594\n", "10000 0.37259960174560547\n" ] } ], "source": [ "timesteps = np.linspace(1e-5, 1e-4, 10)\n", "time_cpu_2 = np.zeros_like(timesteps)\n", "time_step_cpu_2 = np.zeros_like(timesteps)\n", "#\n", "nx = 100\n", "x = np.linspace(0.0,1.0,nx)\n", "delta_x = x[1]-x[0]\n", "#\n", "for i,dt in enumerate(timesteps):\n", " tmp = np.arange(0.0,1.0,dt)\n", " ntimestep = len(tmp)\n", " start = time.time() \n", " T = implicit_scheme(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha)\n", " end = time.time()\n", " time_cpu_2[i] = end - start\n", " time_step_cpu_2[i] = ntimestep\n", " print(ntimestep, end - start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we compare the two methods we observe that the computational cost are rather similar for both methods which sounds somehow contradictory to what we expected. In the implicit method we used a sparse matrix definition to accelerate the computations while the explicit used a for loop to update the temperature in each point of the bar." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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dpxLHdxhcXUI+5xXsXMTdzUK7iCACAwNdsuaoiIiIFI+Za2L5Zt0h3CzwXv9W1Az2u/xJJlGwk1wXTi8jIiJS3m08dIrRP24D4OlujbiuQVWTK7o0NSWJiIiIFOB4aiaPTVtPltVGt6hQHutUz+ySLkvBTkREROQCOVYbj8/cwJGkDOpWqcDbd7ZwehoyMyjYiYiIiFzgzQW7WLH3OH5e7ky5tw0BPp6XP6kEULATEREROc/vW+KYsmwfAG/e0YIGoQEmV+Q4BTsRERGRM/YkpvDMd/aJ+x+8rg69m5fc+WcLomAnIiIiAqRm5vDw1+tJy7JydZ1KPN+jsdklOU3BTpwydepUKlasmLs9ZswYWrZs6fD5FouFuXPnFnldRalTp048+eSTRX5dZ79XIiJSfAzD4NnvNrH3aBphgT58cE9rPNxLX0wqfRVLgYYMGULfvn2L/b7PPPMMixcvdvj4uLg4evbsCcCBAwewWCxs3LjRRdVd2tKlS7FYLJw6dcqU+4uISMnxyZ/7+H1rPJ7uFj4a2JqqAd5ml1QomqDYVWxWPA6tBCMFAqpBRAdwcze7qiLn7++Pv7+/w8eHhYW5sBoRERHnrdhzjDfm7QTgv32a0LpWsMkVFZ5a7Fxh+09Y3muO/+y7cfvhQfjyJpjYFLb/VGwldOrUiccff5wnn3yS4OBgQkND+fTTT0lLS+O+++4jICCA+vXr8/vvv+eec7YF69dff6V58+b4+PjQvn17tm7detH7FNS9+Pnnn9OkSRO8vb2pVq0aw4YNy33t/K7YOnXqANCqVSssFgudOnUq8B5n65o/fz6tWrXC19eXG264gcTERH7//XciIyMJDAzknnvuIT09Pfc8m83G+PHjqVOnDr6+vrRo0YLvv/8esLcWdu7cGYDg4GAsFgtDhgzJc+5zzz1HpUqVCAsLY8yYMXlqio2N5ZZbbsHf35/AwEDuvPNOEhIS8hwzYcIEQkNDCQgI4D//+Q8ZGRkX/T6KiIg5jpw6zbCZG7AZcHvrmgy8upbZJV0RBbuitv0n+HYQJB/Juz85zr6/GMPdl19+SZUqVVizZg2PP/44jz76KP369aNDhw7ExMTQrVs37r333jxhCODZZ5/l7bffZu3atVStWpU+ffqQnZ3t0D0nT57M0KFDeeihh9iyZQs//fQT9evXL/DYNWvWALBo0SLi4uL44YcfLnntMWPG8MEHH7BixQoOHTrEnXfeycSJE5kxYwa//vorCxYs4P333889fvz48Xz11Vd8/PHHbNu2jaeeeoqBAweybNkywsPDmT17NgC7du0iLi6OSZMm5fneVahQgdWrV/O///2PcePGsXDhQsAe+m655RZOnDjBsmXLWLhwIfv27eOuu+7KPf/bb79lzJgxvP7666xbt45q1arx0UcfOfQ9FBGR4pGZY+XR6TGcSMuiSfVAXru1aamYhPiSjHImKSnJAIykpKR8r50+fdrYvn27cfr06XM7bTbDyEx17Ot0kmG81cgwRgde5CvIMN5ubD/OkevZbA6/r8GDBxu33HJL7nbHjh2Na6+9Nnc7JyfHqFChgnHvvffm7ouLizMAY+XKlYZhGMaSJUsMwJg1a1buMcePHzd8fX2Nb775xjAMw/jiiy+MoKCg3NdHjx5ttGjRIne7evXqxksvvXTROgFjzpw5hmEYxv79+w3A2LBhwyXf29m6Fi1alLtv/PjxBmDs3bs3d9/DDz9sdO/e3TAMw8jIyDD8/PyMFStW5LnWf/7zH6N///55rnvy5Mk8x1z4vTMMw2jXrp3x/PPPG4ZhGAsWLDDc3d2N2NjY3Ne3bdtmAMaaNWsMwzCM6Oho47HHHstzjauvvjrP9+p8Bf7siYiIS70we7MR8fwvRvMx843Y42mFukZWVpYxd+5cIysrq4irO+dS2eVCesbucrLT4fXqRXQxw96SNyHcscNfPAJeFQp9t+bNm+f+3d3dncqVK9OsWbPcfaGhoQAkJibmOS86Ojr375UqVaJRo0bs2LHjsvdLTEzkyJEj3HjjjYWu+VLOfz+hoaH4+flRt27dPPvOtgLu2bOH9PR0unbtmucaWVlZtGrVyql7AVSrVi33+7Rjxw7Cw8MJDz/37xgVFUXFihXZsWMH7dq1Y8eOHTzyyCN5rhEdHc2SJUscfLciIuJK3649xMw1sVgs8F7/VoRX8jO7pCKhYFeGeXrmXf7EYrHk2Xe2udlmsxXJ/Xx9fYvkOhdzYe0Fvb+z7yU1NRWAX3/9lRo1auQ5ztv78iOdLnVtEREp3Tb/e4pRP9qfHx/RpSEdG1Y1uaKio2B3OZ5+9pYzRxxcAdPvuPxxA763j5J15N4mWLVqFbVq2R8ePXnyJP/88w+RkZGXPS8gIIDatWuzePHi3IEJl+Ll5QWA1Wq9soILEBUVhbe3N7GxsXTs2LFI7x8ZGcmhQ4c4dOhQbqvd9u3bOXXqFFFRUbnHrF69mkGDBuWet2rVqsK8FRERKUIn0rJ4dFoMWTk2ukSGMLRzwc+Bl1YKdpdjsTjeHVrvBgisbh8ogVHQxeyv17uhRE99Mm7cOCpXrkxoaCgvvfQSVapUcXiOvDFjxvDII48QEhJCz549SUlJ4e+//+bxxx/Pd2xISAi+vr7MmzePmjVr4uPjQ1BQUJG8h4CAAJ555hmeeuopbDYb1157LUlJSfz9998EBgYyePBgIiIisFgs/PLLL/Tq1QtfX1+Hpm7p0qULzZo1Y8CAAUycOJGcnBwee+wxOnbsSNu2bQEYPnw4Q4YMoW3btlxzzTVMnz6dbdu25ek6FhGR4mW1GTwxcwOHT52mdmU/3r6zJW5upXywxAU0KrYoublDjzcAMLjwB+XMdo8JJTrUgX2ajuHDh9OmTRvi4+P5+eefc1u3Lmfw4MFMnDiRjz76iCZNmnDTTTexe/fuAo/18PDgvffeY8qUKVSvXp1bbrmlKN8Gr7zyCi+//DLjx48nMjKSHj168Ouvv+ZOs1KjRg3Gjh3LCy+8QGhoaJ5pWS7FYrHw448/EhwczPXXX0+XLl2oW7cu33zzTe4xd911Fy+//DLPPfccbdq04eDBgzz66KNF+v5ERMQ5by/YxfI9x/D1dGfKvW0J8vW8/EmljMUwjIKalsqs5ORkgoKCSEpKIjAwMM9rGRkZ7N+/nzp16uDj41P4m2z/CWPe81jOn/IksIY91EXdXPjrutjSpUvp3LkzJ0+ezLNsmLhekf3siYhIgeZvi+fhr9cD9sESN7comoGR2dnZ/Pbbb/Tq1Svf89lF5VLZ5ULqinWFqJsxGvYkbcci/IwU3MrwyhMiIiIl3d6jqTz97SYA7r+mTpGFupJIwc5V3NzJCY+GwEBwU4+3iIiIGdIyc3jk6/WkZuZwVZ1KjOzV2OySXErBTnJ16tSJctYzLyIiZZhhGDz3/WZ2J6YSGujNB/e0wtO9bDe2lO13JyIiIuXWZ3/t59ctcXi6W/hoQGtCAsr+M8wKdiIiIlLmrNx7nAnzdgLw8k1RtImoZHJFxUPBrgDqjpTipp85EZGiE5d0mmEzYrDaDG5rVYN720eYXVKxUbA7z9lhyunp6SZXIuVNVlYWYF/TV0RECi8zx8qj02I4npZFZLVAXru1We4SmuWBBk+cx93dnYoVK+Yu9u7n51foHwabzUZWVhYZGRm4aVSsXILNZuPo0aP4+fnh4aH/JEVErsS4n7ez8dApgnw9mTKwDb5e5esXZn2KXCAsLAwgN9wVlmEYnD59Gl9f33L1m4IUjpubG7Vq1dLPiojIFfhu3SGmr47FYoGJd7ekVmVz1lw3U4kJdhMmTGDkyJEMHz6ciRMnXvS47777jpdffpkDBw7QoEED3njjDXr16lVkdVgsFqpVq0ZISAjZ2dmFvk52djZ//vkn119/vctmopayw8vLSy27IiJXYOvhJEbN3QrA8Bsb0LlRiMkVmaNEBLu1a9cyZcoUmjdvfsnjVqxYQf/+/Rk/fjw33XQTM2bMoG/fvsTExNC0adMircnd3f2Knndyd3cnJycHHx8fBTsREREXOpmWxSPT1pOZY+OGxiE8cUMDs0syjelNBKmpqQwYMIBPP/2U4ODgSx47adIkevTowbPPPktkZCSvvPIKrVu35oMPPiimakVERKQksdoMhn+zkX9PnqZWJT/evbMlbm7l97EW01vshg4dSu/evenSpQuvvvrqJY9duXIlI0aMyLOve/fuzJ0796LnZGZmkpmZmbudnJwM2LtKr6Sr9XLOXtuV9xARESnv3l20hz//OYqPpxsf9m+Bn2fxfvYWx+e9M9c2NdjNmjWLmJgY1q5d69Dx8fHxhIaG5tkXGhpKfHz8Rc8ZP348Y8eOzbd/wYIF+Pm5/qHKhQsXuvweIiIi5dGWExY+22V/bKpfRDb7Yv5in0m1uPLz3plp2EwLdocOHWL48OEsXLgQHx/XLfExcuTIPK18ycnJhIeH061bNwIDA1123+zsbBYuXEjXrl31jJ2IiEgRO3A8jZcmrwZyuLd9Lf7bu7EpdRTH5/3Z3kZHmBbs1q9fT2JiIq1bt87dZ7Va+fPPP/nggw/IzMzMN3ghLCyMhISEPPsSEhJypygpiLe3N97e3vn2e3p6FkvgKq77iIiIlBfpWTkMm7mZ1Mwc2kYE8/JNTfD0MHfYgCs/7525rmnfhRtvvJEtW7awcePG3K+2bdsyYMAANm7cWOCI1OjoaBYvXpxn38KFC4mOji6uskVERMREhmHw/Owt7EpIoWqANx8NaI2XyaGuJDGtxS4gICDfFCUVKlSgcuXKufsHDRpEjRo1GD9+PADDhw+nY8eOvP322/Tu3ZtZs2axbt06Pvnkk2KvX0RERIrf538f4OdNR/Bws/DRgNaEBLruca7SqERH3NjYWOLi4nK3O3TowIwZM/jkk09o0aIF33//PXPnzi3yOexERESk5Fm97ziv/7YDgJd6R9KudiWTKyp5TJ/u5HxLly695DZAv3796NevX/EUJCIiIiVCQnIGQ2dswGozuKVldYZ0qG12SSVSiW6xExEREcnKsfHotPUcS82kcVgA429rprW1L0LBTkREREq0V3/dTkzsKQJ8PPh4YBv8vEpUh2OJomAnIiIiJdYPMf/y1cqDAEy8qyW1q1QwuaKSTcFORERESqRtR5IY+cMWAJ64sQE3RoZe5gxRsBMREZES51R6Fo9MW09mjo1Ojary5I0NzC6pVFCwExERkRLFZjN48puNHDpxmvBKvky8qyVubhos4QgFOxERESlRJi7ezdJdR/H2cOPjgW2o6OdldkmlhoKdiIiIlBiLdyTw3uLdAIy/rRlNqgeZXFHpomAnIiIiJcKBY2k8+c1GAAZFR3Bb65rmFlQKKdiJiIiI6U5nWXlk2npSMnJoExHMqN5RZpdUKinYiYiIiKkMw2DkD5vZGZ9CFX9vPhrQGi8PRZTC0HdNRERETPXligPM3XgEdzcLH97TitBAH7NLKrUU7ERERMQ0aw+c4NVfdwAwsmdjrq5b2eSKSjcFOxERETFFYnIGj02PIcdmcFPzavzn2jpml1TqKdiJiIhIscu22hg6I4ajKZk0DPXnjdubY7FoEuIrpWAnIiIixe61X3ew9sBJArw9mHJvWyp4e5hdUpmgYCciIiLF6seNh5m64gAA79zVkjpVKphbUBmiYCciIiLFZkdcMs/P3gzAsM716RoVanJFZYuCnYiIiBSLpNPZPDJtPRnZNq5vWJWnujY0u6QyR8FOREREXM5mMxjxzUYOHk+nZrAvk+5qibubBksUNQU7ERERcbn3/9jD4p2JeHu48fHANgRX8DK7pDJJwU5ERERcasmuRCYu/geAV/s2pWmNIJMrKrsU7ERERMRlYo+nM3zmBgwDBlxdi35tw80uqUxTsBMRERGXOJ1l5eFp60nOyKFleEX+2yfK7JLKPAU7ERERKXKGYfDSnC3siEumir8Xkwe2xtvD3eyyyjwFOxERESlyX686yA8bDuPuZuH9/q2pFuRrdknlgoKdiIiIFKn1B08w7uftALzQozHR9SqbXFH5oWAnIiIiRSYxJYPHpseQYzPo3bwaD1xXx+ySyhUFOxERESkS2VYbw2ZsICE5kwYh/vzv9uZYLJqEuDgp2ImIiEiRmPD7TtbsP4G/twcf39uGCt4eZpdU7ijYiYiIyBX7adMR/m/5fgDevrMF9ar6m1xR+aRgJyIiIldkV3wKz3+/GYDHOtWje5MwkysqvxTsREREpNCSM7J5ZNp6Tmdbua5BFZ7u1sjskso1U4Pd5MmTad68OYGBgQQGBhIdHc3vv/9+0eOnTp2KxWLJ8+Xj41OMFYuIiMhZNpvBiG82sf9YGjUq+jLp7la4u2mwhJlMfaqxZs2aTJgwgQYNGmAYBl9++SW33HILGzZsoEmTJgWeExgYyK5du3K3NdpGRETEHB8t3cOiHQl4ebgxeWBrKlXwMrukcs/UYNenT58826+99hqTJ09m1apVFw12FouFsDD13YuIiJhp2T9HeXvhPwC8cksTmtesaG5BApSgZ+ysViuzZs0iLS2N6Ojoix6XmppKREQE4eHh3HLLLWzbtq0YqxQREZFDJ9IZPmsDhgH9rwrnrna1zC5JzjB9gpktW7YQHR1NRkYG/v7+zJkzh6ioqAKPbdSoEZ9//jnNmzcnKSmJt956iw4dOrBt2zZq1qxZ4DmZmZlkZmbmbicnJwOQnZ1NdnZ20b+hM85e25X3EBERKW4Z2VYe/nodp9KzaV4jkJd6NirXn3XF8XnvzLUthmEYLqvEAVlZWcTGxpKUlMT333/PZ599xrJlyy4a7s6XnZ1NZGQk/fv355VXXinwmDFjxjB27Nh8+2fMmIGfn98V1y8iIlJeGAbM2OvGmqNuVPAweLa5lWBvs6sq+9LT07nnnntISkoiMDDwkseaHuwu1KVLF+rVq8eUKVMcOr5fv354eHgwc+bMAl8vqMUuPDycY8eOXfabcyWys7NZuHAhXbt2xdPT02X3ERERKS4z1hxi9M87cLPA1CFtiK5b2eySTFccn/fJyclUqVLFoWBnelfshWw2W54gdilWq5UtW7bQq1evix7j7e2Nt3f+Xyc8PT2LJXAV131ERERcKSb2JK/+thOA53o05vpGGsh4Pld+3jtzXVOD3ciRI+nZsye1atUiJSWFGTNmsHTpUubPnw/AoEGDqFGjBuPHjwdg3LhxtG/fnvr163Pq1CnefPNNDh48yAMPPGDm2xARESnTjqZk8ti0GLKtBj2bhvHw9XXNLqlksFmxHFxOjRMrsRwMhLrXg5u7qSWZGuwSExMZNGgQcXFxBAUF0bx5c+bPn0/Xrl0BiI2Nxc3t3MDdkydP8uCDDxIfH09wcDBt2rRhxYoVDj2PJyIiIs7Lsdp4fGYM8ckZ1KtagTf7tdAcsgDbf4J5z+ORfIS2AAcnQ2B16PEGRN1sWlkl7hk7V0tOTiYoKMihfuorkZ2dzW+//UavXr3UFSsiIqXWa79u59O/9lPBy50fh11L/RB/s0sy3/af4NtBwIUR6kzgvfOrIg13zmSXEjOPnYiIiJQsv2w+wqd/7QfgrX4tFOoAbFaY9zz5Qx3n9s17wX6cCRTsREREJJ9/ElJ47vvNADzcsS49m1UzuaIS4uAKSD5yiQMMSD5sP84ECnYiIiKSR0pGNo98vZ70LCsd6lXm2W6NzC6p5EhNKNrjipiCnYiIiOQyDINnvtvEvmNpVA/y4f3+rfBwV1zI5R9atMcVMf1LiYiISK7Jy/Yyf1sCXu5uTB7Yhsr+WloiDy9/sFwqPlkgsAZEdCi2ks6nYCciIiIALN99jLfm7wJg7C1NaBFe0dyCSpqDK+GrW8Cwndlx4bQvZ7Z7TDBtPjsFOxEREeHfk+k8PjMGmwF3tQ2n/1W1zC6pZNm9CL6+FTKToFYHuHUKBF4woCSwepFPdeKsErekmIiIiBSvjGwrj06L4WR6Ns1rBjH2liZml1SybJ0NPzwMtmxo0A36fQleftCsHzn7/mTjX/NpeV13PErAyhNqsRMRESnnRv+4jS2Hkwj28+SjAa3x8TQ3nJQo676A7/9jD3VN74C7Z9hDHYCbO0bEtRyuFI0Rca3poQ4U7ERERMq1mWti+WbdIdws8H7/1tQM9jO7pJJj+bvwy5OAAW3vh9s+AfeSvZqUumJFRETKqY2HTjH6x20APNO9Edc2qGJyRSWEYcCiMfD3RPv2tSPgxv9CKVgjV8FORESkHDqemslj09aTZbXRvUkoj3asZ3ZJJYPNCr+OgPVT7dtdx8E1w00tyRkKdiIiIuVMjtXG4zM3cCQpg7pVKvBWvxZYSkFrlMvlZMGch2HbD/a56m6aCG0Gm12VU5wOdvv37+evv/7i4MGDpKenU7VqVVq1akV0dDQ+Pj6uqFFERESK0JsLdrFi73H8vNyZcm8bAnxK9nNjxSIrHb4dBHsWgpsn3P4ZNOlrdlVOczjYTZ8+nUmTJrFu3TpCQ0OpXr06vr6+nDhxgr179+Lj48OAAQN4/vnniYiIcGXNIiIiUki/b4ljyrJ9ALx5RwsahAaYXFEJcPoUzLgLDq0CTz+462uo38XsqgrFoWDXqlUrvLy8GDJkCLNnzyY8PDzP65mZmaxcuZJZs2bRtm1bPvroI/r16+eSgkVERKRw9iSm8Mx3mwB48Lo69G5e7TJnlAOpiTDtNojfAj5BcM93UOtqs6sqNIeC3YQJE+jevftFX/f29qZTp0506tSJ1157jQMHDhRVfSIiIlIEUjNzePjr9aRlWWlftxLP92hsdknmOxULX/WFE3uhQgjcOwfCmppd1RVxKNhdKtRdqHLlylSuXLnQBYmIiEjRMgyDZ7/bxN6jaYQF+vDBPa3xcC/nU9ke/Qe+7gvJhyGoFgyaC5VL/8hgp/9VY2Ji2LJlS+72jz/+SN++fXnxxRfJysoq0uJERETkyk35cx+/b43H093CRwNbU8Xf2+ySzHVkA3zRwx7qqjSC/8wvE6EOChHsHn74Yf755x8A9u3bx913342fnx/fffcdzz33XJEXKCIiIoX3955j/G/eTgBG92lC61rBJldksgPLYWofSD8O1VvBfb9DYHWzqyoyTge7f/75h5YtWwLw3Xffcf311zNjxgymTp3K7Nmzi7o+ERERKaTDp07z+MwN2Ay4o01NBlxdy+ySzLVrHky7HbJSoPZ1MOgnqFC2Hh9zOtgZhoHNZgNg0aJF9OrVC4Dw8HCOHTtWtNWJiIhIoWRkW3ls2npOpGXRtEYgr/ZtWr4nId78Lcy6B3IyoFEvGPA9+ASaXVWRczrYtW3blldffZWvv/6aZcuW0bt3b8A+cXFoaGiRFygiIiLOG/vzdjb9m0RFP08mD2iDj6e72SWZZ82n8MNDYFih+d1w59fgWTYXVXA62E2cOJGYmBiGDRvGSy+9RP369QH4/vvv6dChQ5EXKCIiIs75du0hZq6JxWKB9+5uRXglP7NLModhwLI34bdnAAOuehj6Tgb3sruiqtPvrHnz5nlGxZ715ptv4u5ejn8bEBERKQE2/3uKUT9uBeDprg25vmFVkysyiWHAglGw8gP7dscXoNMLUMa7ox0KdoZhXLZfXuvEioiImOtEWhaPToshK8dGl8hQHutU3+ySzGHNgV+Gw4Zp9u0eE6D9o+bWVEwc6opt0qQJs2bNuuw8dbt37+bRRx9lwoQJRVKciIiIOMZqM3hi5gYOnzpNnSoVeOeuFri5le3WqQLlZML3Q+yhzuIGt3xUbkIdONhi9/777/P888/z2GOP0bVrV9q2bUv16tXx8fHh5MmTbN++neXLl7Nt2zaGDRvGo4+Wn2+giIhISfD2gl0s33MMX093Ph7YhkAfT7NLKn6ZqfDNQNi3BNy94I4vIPIms6sqVg4FuxtvvJF169axfPlyvvnmG6ZPn87Bgwc5ffo0VapUoVWrVgwaNIgBAwYQHFzOJz4UEREpZvO3xfPR0r0A/O+O5jQKCzC5IhOkn4AZd8K/a8GzAvSfAXU7mV1VsXNq8MS1117Ltdde66paRERExEl7j6by9LebAPjPtXXo06LsrKLgsJR4+PpWSNwOPhVh4Gyo2dbsqkxRdsf7ioiIlHFpmTk88vV6UjNzuKpOJV7o2djskorfyQPwVV84uR/8w+DeORAaZXZVplGwExERKYUMw+C57zezOzGV0EBvPrynNZ7uTk9PW7ol7rCHutR4CK4N986FSnVMLspcCnYiIiKl0Gd/7efXLXF4ulv4aEAbqgZ4m11S8fp3PUy/HU6fhJAoe0tdQJjZVZlOwU5ERKSUWbn3OBPm7QTgvzdF0SainA1c3LfMvu5rVirUbAf3fAt+lcyuqkQwtc128uTJNG/enMDAQAIDA4mOjub333+/5DnfffcdjRs3xsfHh2bNmvHbb78VU7UiIiLmi0s6zbAZMVhtBre1rsHA9hFml1S8dvwC0++wh7q6nezdrwp1uQoV7Pbu3cuoUaPo378/iYmJAPz+++9s27bNqevUrFmTCRMmsH79etatW8cNN9zALbfcctHrrFixgv79+/Of//yHDRs20LdvX/r27cvWrVsL8zZERERKlcwcK49Oi+F4WhaR1QJ5rW+zy64MVaZsnAHf3gvWLIjsY2+p8/Y3u6oSxelgt2zZMpo1a8bq1av54YcfSE1NBWDTpk2MHj3aqWv16dOHXr160aBBAxo2bMhrr72Gv78/q1atKvD4SZMm0aNHD5599lkiIyN55ZVXaN26NR988IGzb0NERKTUGffzdjYeOkWQrydTBrbB16scrdG+ajLMfRQMG7QcCHdMBY9y9lyhA5wOdi+88AKvvvoqCxcuxMvLK3f/DTfccNFA5gir1cqsWbNIS0sjOjq6wGNWrlxJly5d8uzr3r07K1euLPR9RURESoPv1h1i+upYLBaYeHdLalX2M7uk4mEYsGQ8zHvBvh09DG75ANw1TKAgTn9XtmzZwowZM/LtDwkJ4dixY04XsGXLFqKjo8nIyMDf3585c+YQFVXw/DPx8fGEhobm2RcaGkp8fPxFr5+ZmUlmZmbudnJyMgDZ2dlkZ2c7Xa+jzl7blfcQEZHyYduRZF6aa3/s6PHO9bi2bnD5+HwxbLgteAn3dZ8CYO34IrZrnoKcHJMLO6c4Pu+dubbTwa5ixYrExcVRp07eeWI2bNhAjRo1nL0cjRo1YuPGjSQlJfH9998zePBgli1bdtFw56zx48czduzYfPsXLFiAn5/rf9tZuHChy+8hIiJlV1o2vLXFnawcC02CbdRJ38Vvv+0yuyyXsxhWWsZ+Rq0TfwOwueYg9ic3hssMsjSLKz/v09PTHT7W6WB399138/zzz/Pdd99hsViw2Wz8/fffPPPMMwwaNMjZy+Hl5UX9+vUBaNOmDWvXrmXSpElMmTIl37FhYWEkJCTk2ZeQkEBY2MXnrRk5ciQjRozI3U5OTiY8PJxu3boRGBjodL2Oys7OZuHChXTt2hVPz3K4ELOIiFwxq83gga9jOJF5nFqVfPnqkfYE+paDz5ScDNx/eAC3E39jWNyx3vwBkU37EWl2XQUojs/7s72NjnA62L3++usMHTqU8PBwrFYrUVFRWK1W7rnnHkaNGuXs5fKx2Wx5uk7PFx0dzeLFi3nyySdz9y1cuPCiz+QBeHt74+2d/+FKT0/PYglcxXUfEREpe95bsIvle47j4+nGlHvbUjmwHDxXl5kC3/SHA3+Bhw+WflPxaNTT7Kouy5Wf985c1+lg5+XlxaeffsrLL7/M1q1bSU1NpVWrVjRo0MDZSzFy5Eh69uxJrVq1SElJYcaMGSxdupT58+cDMGjQIGrUqMH48eMBGD58OB07duTtt9+md+/ezJo1i3Xr1vHJJ584fW8REZGSbOH2BN7/Yw8Ab9zenMhqrutlKjHST8C02+FIDHgFwD2zoPa1ZldVqhR6SEmtWrWoVavWFd08MTGRQYMGERcXR1BQEM2bN2f+/Pl07doVgNjYWNzczg3c7dChAzNmzGDUqFG8+OKLNGjQgLlz59K0adMrqkNERKQk2X8sjRHfbARgSIfa3NLS+WfYS53kI/D1rXB0J/hWgoGzoUZrs6sqdZwOdoZh8P3337NkyRISExOx2Wx5Xv/hhx8cvtb//d//XfL1pUuX5tvXr18/+vXr5/A9RERESpP0rBwe+Xo9KZk5tKsdzEu9S+KTZUXs+F74ui+cioXAGvZ1X6s2MruqUsnpYPfkk08yZcoUOnfuTGhoaPma8VpERMSFDMPg+dlb2JWQQtUAbz68pzWe7qau/ul68VvtLXVpiVCpLgz6ESpeWY9geeZ0sPv666/54Ycf6NWrlyvqERERKbc+//sAP286goebhckDWhMS6GN2Sa4Vuxpm9IOMJAhtBvf+AP4hZldVqjkd7IKCgqhbt64rahERESm3Vu87zuu/7QBgVO9I2tYu4wvb71kM3wyE7HQIbw/3fAO+Fc2uqtRzun13zJgxjB07ltOnT7uiHhERkXInITmDoTM2YLUZ9G1ZncEdaptdkmttmwsz7rKHuvpd7M/UKdQVCadb7O68805mzpxJSEgItWvXzje3SkxMTJEVJyIiUtZl5dh4dNp6jqVm0jgsgPG3NS/bz6/HfAU/DwfDBk1uhVs/AQ+vy58nDnE62A0ePJj169czcOBADZ4QERG5Qq/+up2Y2FME+ngw5d42+Hq5m12S6/z9Hix82f73NkOg9zvgVobfrwmcDna//vor8+fP59prNWGgiIjIlfgh5l++WnkQgIl3tySicgWTK3IRw4A/XoG/3rZvX/MkdBkDahwqck4Hu/DwcJeusSoiIlIebDuSxMgftgAw/MYG3NA41OSKXMRmg9+egXVn5q7tMgaufcrUksoypwdPvP322zz33HMcOHDABeWIiIiUfafSs3hk2noyc2x0blSV4Tc6vyxnqWDNhh8ePBPqLHDTRIU6F3O6xW7gwIGkp6dTr149/Pz88g2eOHHiRJEVJyIiUtbYbAZPfrORQydOU6uSHxPvaoWbWxnsksxKh++GwO754OYBt30CTW83u6oyz+lgN3HiRBeUISIiUj5MXLybpbuO4uPpxscD2xDk53n5k0qbjCSYcTfErgAPX7jra2jQ1eyqyoVCjYoVERER5y3ekcB7i3cDMP62ZkRVL4PPrKcdsy8RFr8ZvIPsEw9HRJtdVbnhULBLTk7OHTCRnJx8yWM1sEJERCS/A8fSePKbjQAMjo7g1lY1zS3IFU4dsoe647vBr4p94uFqzc2uqlxxKNgFBwcTFxdHSEgIFStWLHDuOsMwsFgsWK3WIi9SRESkNEvPyuGRaetJycihTUQwL/WOMrukondsN3zVF5L/haBwuHcuVKlvdlXljkPB7o8//qBSJfuadUuWLHFpQSIiImWJYRiM/GELO+NTqOLvzUcDWuPl4fSkFCVb3Cb4+jZIPwZVGtpb6oLKYItkKeBQsOvYsWPu3+vUqUN4eHi+VjvDMDh06FDRViciIlLKTV1xgB83HsHdzcKH97QiNNDH7JKK1sEV9nVfM5OhWgsY+ANUqGJ2VeWW078y1KlTh6NHj+bbf+LECerUqVMkRYmIiJQFaw+c4LVfdwDwYq9Irq5b2eSKitg/C+zP1GUmQ8Q1MPgXhTqTOT0q9uyzdBdKTU3Fx6eM/RYiIiJSSInJGTw2PYYcm0GfFtW5/5raZpdUtLZ8D3MeBlsONOwB/aaCp6/ZVZV7Dge7ESNGAGCxWHj55Zfx8/PLfc1qtbJ69WpatmxZ5AWKiIiUNtlWG0NnxHA0JZNGoQG8cXuzAhtFSq21/we/Pg0Y0Kwf9J0M7mVwPr5SyOFgt2HDBsDeYrdlyxa8vLxyX/Py8qJFixY888wzRV+hiIhIKfParztYe+AkAd4efHxvG/y8nO4gK5kMA5a/A4vH2bfbPQA93wS3MjYYpBRz+Cft7GjY++67j0mTJmm+OhERkQL8uPEwU1ccAODdu1pSp0oFcwsqKoYBC/8LK96zb1//LHR+CcpSS2QZ4PSvEF988YUr6hARESn1dsQl8/zszQA8fkN9ukSFmlxREbFZ4ZcnIeYr+3a316DDMFNLkoKVkbZhERERcyWdzuaRaevJyLZxfcOqPNmlodklFY2cTPjhIdg+Fyxu0Oc9aH2v2VXJRSjYiYiIXCGbzWDENxs5eDydmsG+vHd3S9zdykAXZVYafDMQ9v4B7l5w+2cQdYvZVcklKNiJiIhcoff/2MPinYl4e7jx8cA2VPTzuvxJJd3pk/aJhw+tBk8/uHs61LvB7KrkMhTsRERErsCSXYlMXPwPAK/d2oymNYJMrqgIpCTAtNsgYSv4BMGA7yH8KrOrEgc4FOx++uknhy948803F7oYERGR0iT2eDrDZ27AMGBg+1rc0aYMrI968iB83RdO7AP/UPu6r6FNzK5KHORQsOvbt69DF7NYLFit1iupR0REpFQ4nWXl4WnrSc7IoVWtivz3pjIQfhJ32pcISzkCFWvBvXOhcj2zqxInOBTsbDabq+sQEREpNQzD4KU5W9gRl0wVfy8mD2iDl0cpn6T38HqYdgecPgFVG9tb6gKrm12VOEnP2ImIiDjp61UH+WHDYdzdLHxwT2vCgkr5Wun7/4KZd0NWKlRvDQNng18ls6uSQihUsEtLS2PZsmXExsaSlZWV57UnnniiSAoTEREpidYfPMG4n7cDMLJnY9rXrWxyRVdo52/w3RCwZkKd6+HuGeAdYHZVUkhOB7sNGzbQq1cv0tPTSUtLo1KlShw7dgw/Pz9CQkIU7EREpMxKTMng0Wkx5NgMbmpejf9cW8fskq7Mplkw9zEwrND4Jrj9/8CzlLc+lnNOPxDw1FNP0adPH06ePImvry+rVq3i4MGDtGnThrfeessVNYqIiJgu22pj2PQNJKZk0jDUnzdub46lNK+TunoKzHnYHupa9Id+XyrUlQFOB7uNGzfy9NNP4+bmhru7O5mZmYSHh/O///2PF1980RU1ioiImG78bztZc+AEAd4efDywDRW8S+lj6oYBy/4Hvz9n3776EbjlI3Avpe9H8nA62Hl6euLmZj8tJCSE2NhYAIKCgjh06JBT1xo/fjzt2rUjICCAkJAQ+vbty65duy55ztSpU7FYLHm+fHz0G4aIiLjOjxsP8/nf+wF4+84W1K3qb3JFhWSzwfwXYclr9u1OL0KPCeBWykf0Si6n43mrVq1Yu3YtDRo0oGPHjvz3v//l2LFjfP311zRt2tSpay1btoyhQ4fSrl07cnJyePHFF+nWrRvbt2+nQoUKFz0vMDAwTwAs1U3hIiJSou2KT+GF2VsAeKxTPbo1CTO5okKy5sDPT8DG6fbtHm9A+0fMrUmKnNPB7vXXXyclJQWA1157jUGDBvHoo4/SoEEDPv/8c6euNW/evDzbU6dOJSQkhPXr13P99ddf9DyLxUJYWCn9D0tEREqN5IxsHpm2ntPZVq5rUIWnuzUyu6TCyc6A2f+Bnb+AxR1u+RBa9je7KnEBp4Nd27Ztc/8eEhKSL5xdiaSkJAAqVbr03DmpqalERERgs9lo3bo1r7/+Ok2alIEZv0VEpMSw2QxGfLOJ/cfSqFHRl0l3t8LdrRT2EGWmwqx7YP8ycPeGfl9A495mVyUuUmKelLTZbDz55JNcc801l+zSbdSoEZ9//jnNmzcnKSmJt956iw4dOrBt2zZq1sy/Rl9mZiaZmZm528nJyQBkZ2eTnZ1d9G/kjLPXduU9RETEdT5auo9FOxLw8nDjg7tbEOBlKX3/Tz99EvdZd+N2ZD2GVwWs/aZh1L4OStv7KMGK4/PemWtbDMMwnLl4QkICzzzzDIsXLyYxMZELTy/sWrGPPvoov//+O8uXLy8woF1MdnY2kZGR9O/fn1deeSXf62PGjGHs2LH59s+YMQM/P79C1SoiImXbjlMWpuxww8BC/3pW2oc49VFZIvhknyR6z/8IzDhMlnsFVtZ7hlMVtO5raZSens4999xDUlISgYGBlzzW6WDXs2dPYmNjGTZsGNWqVcs3cOGWW25xuuBhw4bx448/8ueff1KnjvOTPfbr1w8PDw9mzpyZ77WCWuzCw8M5duzYZb85VyI7O5uFCxfStWtXPD09XXYfEREpWv+ePM2tk1dx6nQ2d7Wtyau3RJldkvNOHsBjxu1YTh3E8A8j557ZULWUPh9YwhXH531ycjJVqlRxKNg53RW7fPly/vrrL1q2bFnY+nIZhsHjjz/OnDlzWLp0aaFCndVqZcuWLfTq1avA1729vfH29s6339PTs1gCV3HdR0RErlxGtpVhszZx6nQ2LcIrMq5vUzw93M0uyzkJ2+HrWyE1HoLrYBk0F8/g2mZXVea58vPemes6HezCw8Pzdb8W1tChQ5kxYwY//vgjAQEBxMfHA/Y58Xx9fQEYNGgQNWrUYPz48QCMGzeO9u3bU79+fU6dOsWbb77JwYMHeeCBB4qkJhERKZ8Mw2DU3K1sO5JM5QpeTB7QGu/SFuoOrYXpd0DGKQhpAvf+AAGaRaI8cXpGwokTJ/LCCy9w4MCBK7755MmTSUpKolOnTlSrVi3365tvvsk9JjY2lri4uNztkydP8uCDDxIZGUmvXr1ITk5mxYoVREWVwqZyEREpMaavjuX79f/iZoH3+7eiekVfs0tyzt4l8NUt9lBX8yq471eFunLI6Ra7u+66i/T0dOrVq4efn1++5sETJ044fC1HWv6WLl2aZ/vdd9/l3XffdfgeIiIilxMTe5KxP28D4PkejelQv4rJFTlp+0/2eeqsWVDvBrhrGnhdfKJ/KbucDnYTJ050QRkiIiLmOJqSyWPTYsi2GvRqFsZD19c1uyTnbJgGPz0Ohg2iboHbPgWP/M+WS/ngdLAbPHiwK+oQEREpdjlWG4/PjCE+OYP6If78744WpWuZypUf2td+BWh1L/SZBG6l7LlAKVKFmqDYarUyd+5cduzYAUCTJk24+eabcXfXD5OIiJQeb8zbyap9J/D39uDjgW3w9y4x8/ZfmmHAktfhz//Ztzs8Dl1fgdIUSsUlnP4J3rNnD7169eLw4cM0amSfE2f8+PGEh4fz66+/Uq+eJj8UEZGS75fNR/j0r/0AvNWvOfVD/E2uyEE2G8x7HtZ8Yt++4WW47mmFOgEKMSr2iSeeoF69ehw6dIiYmBhiYmKIjY2lTp06PPHEE66oUUREpEj9k5DCc99vBuCRjvXo0bSayRU5yJoNcx85E+os0PttuP4ZhTrJ5XSL3bJly1i1ahWVKlXK3Ve5cmUmTJjANddcU6TFiYiIFLXkjGwe+Xo96VlWrqlfmWe6NTS7JMdkn4bv7oN/fgc3D7h1CjS7w+yqpIRxOth5e3uTkpKSb39qaipeXl5FUpSIiIgr2GwGz3y7iX3H0qge5MN7d7fCw93pzqvil5EMM/vDweXg4QN3fgUNu5tdlZRATv8033TTTTz00EOsXr0awzAwDINVq1bxyCOPcPPNN7uiRhERkSIxedleFmxPwMvdjckD21DZvxRMC5J2HL7sYw913oEw8AeFOrkop4Pde++9R7169YiOjsbHxwcfHx+uueYa6tevz6RJk1xRo4iIyBX7a/dR3l6wC4BxtzShRXhFcwtyRNJh+KIHxG0Ev8ow+Georcee5OKc7oqtWLEiP/74I7t372bnzp0AREZGUr9+/SIvTkREpLCsNoM1+0+QmJKBxQL/nbsVmwF3twvn7qtqmV3e5R3fa18iLOkQBNaEe+dA1VLyPKCYptAT9jRo0IAGDRoUZS0iIiJFYt7WOMb+vJ24pIw8+yMq+zHm5iYmVeWE+C3w9a2QdhQq14d750LFcLOrklLAoWA3YsQIXnnlFSpUqMCIESMueew777xTJIWJiIgUxrytcTw6LYaCViM/eDydpbsSS/b0JrGrYPqdkJkEYc1g4Bzwr2p2VVJKOBTsNmzYQHZ2du7fRURESiKrzWDsz9sLDHUAFmDsz9vpGhWGu1sJnPtt9yL4ZiDknIZa0XDPN+ATZHZVUoo4FOyWLFlS4N9FRERKkjX7T+Trfj2fAcQlZbBm/wmi61UuvsIcsfUH+OEhsGVD/a72KU28/MyuSkoZp0fF3n///QXOY5eWlsb9999fJEWJiIgURmLKxUNdYY4rNuunwvf320Ndk9vg7hkKdVIoTge7L7/8ktOnT+fbf/r0ab766qsiKUpERKQwfD3dHTouJMDHxZU4YflE+Hk4YEDb++H2z8BDE/5L4Tg8KjY5OTl3QuKUlBR8fM79R2G1Wvntt98ICQlxSZEiIiKXs+XfJMb8tO2Sx1iAsCAfrqpT6ZLHFQvDgMVjYfm79u1rR8CN/9W6r3JFHA52FStWxGKxYLFYaNgw/zw6FouFsWPHFmlxIiIijvh23SFGzd1KVo6Nqv5eHE3NwgJ5BlGcjUuj+0SZP3DCZoVfn4b1X9i3u4yFa580tSQpGxwOdkuWLMEwDG644QZmz55NpUrnftvx8vIiIiKC6tWru6RIERGRgmTmWBn383amr44FoEtkCG/f2ZKVe4/lm8cuLMiH0X2izJ/qJCcL5jwM234ALNBnIrQZYm5NUmY4HOw6duwIwP79+wkPD8fNrRQsmiwiImVWfFIGj05fz4bYU1gs8FSXhgzrXB83Nws9mlaja1RY7soTIQH27lfTW+qy0uHbQbBnIbh5wu2fQpNbza1JyhSnV56IiIgAID09ndjYWLKysvK83rx586KpTERE5CJW7TvOsBkxHEvNItDHg0n9W9G5Ud7nvN3dLCVrSpPTp2Dm3RC7Ejx84a5p0KCL2VVJGeN0sDt69Cj33Xcfv//+e4GvW63WKy5KRESkIIZh8PnfB3j9tx1YbQaNwwKYcm8bIipXMLu0S0tNhGm32ZcK8w6CAd9CrfZmVyVlkNP9qU8++SSnTp1i9erV+Pr6Mm/ePL788ksaNGjATz/95IoaRURESM/KYfisjbzyy3asNoO+Lasz57FrSn6oO3UIPu9hD3UVqsJ9vyrUics43WL3xx9/8OOPP9K2bVvc3NyIiIiga9euBAYGMn78eHr37u2KOkVEpBw7cCyNR6atZ2d8Ch5uFkb1jmRwh9pYSvrUIEf/ga/7QvJhCKoFg+ZC5XpmVyVlmNPBLi0tLXe+uuDgYI4ePUrDhg1p1qwZMTExRV6giIiUb3/sTGD4rI2kZORQNcCbjwa0pl3tEjAP3eUc2QDTbof041ClEdw7B4JqmF2VlHFOB7tGjRqxa9cuateuTYsWLZgyZQq1a9fm448/plo1k4eQi4hImWGzGbz3x24mLtoNQJuIYD4a0JrQwBK0asTFHPgbZtwFWSlQrSUM/AEqlKCBHFJmOR3shg8fTlxcHACjR4+mR48eTJ8+HS8vL6ZOnVrU9YmISDmUlJ7NU99u5I+diQAMio5gVO8ovDxKwVRb/8y3T2mSkwER10L/meATaHZVUk44HewGDhyY+/c2bdpw8OBBdu7cSa1atahSpUqRFiciIuXPjrhkHpm2noPH0/H2cOP1W5txe5uaZpflmM3fwdxHwJYDDXtCvy/A09fsqqQccfpXn3HjxpGenp677efnR+vWralQoQLjxo0r0uJERKR8+XHjYW796G8OHk+nZrAvsx/tUHpC3ZpP4YcH7aGu+V1w19cKdVLsnA52Y8eOJTU1Nd/+9PR0rRUrIiKFkm21Me7n7QyftZGMbBvXNajCz8OupWmNILNLuzzDgD/fhN+eAQy46iHo+zG4e5pdmZRDTnfFGoZR4PDyTZs25Vk/VkRExBGJKRkMm7GBNftPADC0cz1GdG1k/vJfjjAMWDAKVn5g3+74PHQaCSV9GhYpsxwOdsHBwVgsFiwWCw0bNswT7qxWK6mpqTzyyCMuKVJERMqm9QdP8tj09SQkZ+Lv7cHbd7age5Mws8tyjM0KPz8BG6bZt7uPh+jHzK1Jyj2Hg93EiRMxDIP777+fsWPHEhR0rnncy8uL2rVrEx0d7ZIiRUSkbDEMg2mrYxn38zayrQb1Q/yZcm8b6lX1N7s0x+RkwuwHYMdPYHGDm9+HVgMvf56Iizkc7AYPHgxAnTp16NChA56eenZAREScl5FtZdTcrXy//l8AejUL4393tMDf2+mng8yRmQrfDIR9S8DdC+74HCL7mF2VCFCIwRN16tQhLi6O2NjYAr+cMX78eNq1a0dAQAAhISH07duXXbt2Xfa87777jsaNG+Pj40OzZs347bffnH0bIiJigkMn0rnj4xV8v/5f3CwwsmdjPryndekJdadP2pcI27cEPCvAPd8q1EmJ4vR/SbVrX3ptPqvV6vC1li1bxtChQ2nXrh05OTm8+OKLdOvWje3bt1OhQsGLOq9YsYL+/fszfvx4brrpJmbMmEHfvn2JiYmhadOmzr4dEREpJn/tPsoTMzdwMj2bShW8eL9/K66pX4rmP02Jh69vg8Rt4FMRBs6Gmm3NrkokD6eD3YYNG/JsZ2dns2HDBt555x1ee+01p641b968PNtTp04lJCSE9evXc/311xd4zqRJk+jRowfPPvssAK+88goLFy7kgw8+4OOPP3bq/iIi4nqGYTB52V7emr8LmwHNawYxeWAbalQsRXO8nTwAX/WFk/vBP8y+7mtolNlVieTjdLBr0aJFvn1t27alevXqvPnmm9x2222FLiYpKQngktOmrFy5khEjRuTZ1717d+bOnVvo+4qIiGukZGTz7HebmbctHoC72oYz9pYm+Hi6m1yZExJ32ENdajxUjIBBP0KlOmZXJVKgInuooVGjRqxdu7bQ59tsNp588kmuueaaS3apxsfHExoammdfaGgo8fHxBR6fmZlJZmZm7nZycjJgb2nMzs4udL2Xc/barryHiEhJtvdoGo/N2Mi+Y2l4ulsYfVMkd7WtCdjIzraZXZ5DLIdjcP/mLiynT2JUjSSn/7cQUA30/3Y5ozg+7525ttPB7mwwOsswDOLi4hgzZgwNGjRw9nK5hg4dytatW1m+fHmhr1GQ8ePHF7gixoIFC/Dz8yvSexVk4cKFLr+HiEhJs+m4hel73Mi0WQjyMri/YQ4BiZv57bfNZpfmsCop27l630QstgxO+NVjVdjjZP+1Adhw2XOl/HHl5/35S7lejtPBrmLFivkGTxiGQXh4OLNmzXL2cgAMGzaMX375hT///JOaNS+9JmBYWBgJCQl59iUkJBAWVvCEliNHjszTdZucnEx4eDjdunUjMDCwUPU6Ijs7m4ULF9K1a1dNDSMi5YbVZvDuoj18/s9+AK6uE8ykO5tT2d/b5MqcY9n1G+5z3sViy8RW+3oC+n1FV69SMseeFKvi+Ly/sFHtUpwOdkuWLMmz7ebmRtWqValfvz4eHs5dzjAMHn/8cebMmcPSpUupU+fyzyxER0ezePFinnzyydx9CxcuvOjkyN7e3nh75/8fiqenZ7EEruK6j4iI2U6kZfHEzA0s33MMgAevq8PzPRrj4e70zFrm2jgTfhwKhhUa34TbHZ/j5lG6gqkUP1d+3jtzXaeDXceOHZ095aKGDh3KjBkz+PHHHwkICMh9Ti4oKAhfX/toqUGDBlGjRg3Gjx8PwPDhw+nYsSNvv/02vXv3ZtasWaxbt45PPvmkyOoSERHnbPk3iUemrefwqdP4ebnzxu3N6dOiutllOW/VxzDvefvfWw6APu+BeymZY0+EQg6e2LVrF++//z47duwAIDIykmHDhtG4cWOnrjN58mQAOnXqlGf/F198wZAhQwCIjY3Fze3cb3sdOnRgxowZjBo1ihdffJEGDRowd+5czWEnImKSb9cdYtTcrWTl2Khd2Y8p97alUViA2WU5xzBg2Ruw1N6IQPvHoNtr4FbKWhul3HM62M2ePZu7776btm3b5nZ/rlq1imbNmjFr1ixuv/12h69lGMZlj1m6dGm+ff369aNfv34O30dERIpeZo6VcT9vZ/pq+6pDXSJDePvOlgT5lrLHT2w2mD8SVp+ZC7XzKLj+GbjEZPwiJZXTwe65555j5MiRjBs3Ls/+0aNH89xzzzkV7EREpHSKT8rg0enr2RB7CosFnurSkGGd6+PmVsrCkDUHfhoGm2bat3u+CVc/ZG5NIlfA6TbmuLg4Bg0alG//wIEDiYuLK5KiRESk5Fq17zg3vf8XG2JPEejjwedD2vHEjQ1KX6jLzoBvB9lDncUdbv1EoU5KPadb7Dp16sRff/1F/fr18+xfvnw51113XZEVJiIiJYthGPzf8v2M/30nVptB47AAptzbhojKBa/tXaJlpsDM/nDgL3D3hju/hEY9za5K5Io5Hexuvvlmnn/+edavX0/79u0B+zN23333HWPHjuWnn37Kc6yIiJR+6Vk5PD97Cz9vOgJA35bVGX9bc3y9StHSYGeln4Bpt8ORGPDyh/6zoI4aJqRscDrYPfbYYwB89NFHfPTRRwW+BmCxWLBarVdYnoiImO3AsTQe/no9uxJS8HCzMKp3JIM71M43WX2pkHwEvr4Vju4E30owcDbUaG12VSJFxulgZ7OVjvX9RETkyv2xM4HhszaSkpFD1QBvPhrQmna1K5ldlmNsVji4AlITwD/U/jX9djgVCwHVYdBcqNrI7CpFipRmXRQRkXxsNoP3/tjNxEW7AWgTEcxHA1oTGuhjcmUO2v6TfaLh5CPn9lncwLBBpbpw71wIjjCtPBFXKVSwW7t2LUuWLCExMTFfC94777xTJIWJiIg5ktKzeerbjfyxMxGAQdERjOodhZdHKZmsd/tP9tGuXDBXqnHm8+rapxTqpMxyOti9/vrrjBo1ikaNGhEaGprnGYtS+byFiIjk2hGXzCPT1nPweDreHm68fmszbm9T0+yyHGeznlkS7GIT4Ftg6QT7cmFupXDgh8hlOB3sJk2axOeff5675JeIiJQNP248zPOzN5ORbaNmsC8fD2xD0xpBZpflnIMr8na/5mNA8mH7cRoJK2WQ08HOzc2Na665xhW1iIiICbKtNsb/tpPP/94PwPUNqzLprpYEV/AyubJCSHFwovzUBNfWIWISpx+YeOqpp/jwww9dUYuIiBSzxJQMBny2OjfUDetcny+GtCudoe7AcljyumPH+oe6thYRkzjdYvfMM8/Qu3dv6tWrR1RUFJ6eeRd7/uGHH4qsOBERcZ31B0/y2PT1JCRn4u/twdt3tqB7kzCzy3Leif2w8GXY8fOZHRYu+YxdYHWI6FBMxYkUL6eD3RNPPMGSJUvo3LkzlStX1oAJEZFSxjAMpq2OZdzP28i2GtQP8WfKvW2oV9Xf7NKck5EMf70FqyaDNcs+nUnb+6F6a/hx6JmDzg94Zz6vekzQwAkps5wOdl9++SWzZ8+md+/erqhHRERcKCPbyqi5W/l+/b8A9GoWxv/uaIG/dyma1tRmhQ1fwx+vQtpR+766naH76xAaZd/2Dsg/j11gdXuoi9Jyl1J2Of1fcqVKlahXr54rahERERc6dCKdR6evZ+vhZNws8HyPxjx0fd3S1fOybxnMfxESttq3K9e3B7oG3eD89xF1MzTunXfliYgOaqmTMs/pYDdmzBhGjx7NF198gZ+fnytqEhGRIvbX7qM8PnMDp9KzqVTBi/f7t+Ka+lXMLstxx/fCgpdh16/2bZ8g6DQS2j0A7p4Fn+PmrilNpNxxOti999577N27l9DQUGrXrp1v8ERMTEyRFSciIlfGMAwmL9vLW/N3YTOgec0gJg9sQ42KvmaX5pjTp+DPN2H1FLBlg8XdHuY6vQB+pWTNWpFi5HSw69u3rwvKEBGRopaSkc2z321m3rZ4AO5qG87YW5rg41kKuiOtORDzJSx5DdKP2/fV7wrdX4OqjcytTaQEczrYjR492hV1iIhIEdqTmMrDX69j79E0vNzdGHtLE/pfVcvsshyz9w+Y9yIc3WHfrtLIHugadDW3LpFSoNDDoNavX8+OHfb/6Jo0aUKrVq2KrCgRESm8eVvjePrbTaRlWQkL9GHywNa0qhVsdlmXd2w3LBgF/8yzb/sGQ6cXoe19F3+OTkTycDrYJSYmcvfdd7N06VIqVqwIwKlTp+jcuTOzZs2iatWqRV2jiIg4wGozeGvBLiYv3QtA+7qV+OCe1lTx9za5sss4fRKW/Q/WfAK2HHDzgKsego7P2cOdiDjM6SXFHn/8cVJSUti2bRsnTpzgxIkTbN26leTkZJ544glX1CgiIpdxIi2LwZ+vyQ11D15Xh2n/ubpkhzprNqz+BN5rBas+soe6hj3gsVXQY7xCnUghON1iN2/ePBYtWkRkZGTuvqioKD788EO6detWpMWJiMjlbfk3iUemrefwqdP4ebnzxu3N6dOiutllXdruRfb56I7tsm9XjbQ/R1f/RnPrEinlnA52Npst3xQnAJ6enthstiIpSkREHPPtukOMmruVrBwbdapU4OOBbWgUFmB2WRd3dBfMfwn2LLRv+1WGzi9B68HgXopWvxApoZz+r+iGG25g+PDhzJw5k+rV7b8RHj58mKeeeoobb9RvWiIixSEzx8q4n7czfXUsAF0iQ3nnrhYE+pTQQQbpJ2DpBFj7GRhWcPOEqx+G658F34pmVydSZjgd7D744ANuvvlmateuTXh4OACHDh2iadOmTJs2rcgLFBGRvOKTMnh0+no2xJ7CYoERXRoytHN93NxK4NJg1mx7mFs6ATJO2fc16g3dXoHKWp5SpKg5HezCw8OJiYlh0aJF7Ny5E4DIyEi6dOlS5MWJiEheq/YdZ9iMGI6lZhHo48Gk/q3o3CjE7LLyMwzYvcDe7Xp8t31fSBPo8TrU7WRqaSJlWaEeaLBYLHTt2pWuXTVZpIhIcTAMg/9bvp/xv+/EajNoHBbAlHvbEFG5gtml5Ze4wz4wYu8f9m2/KnDDKGg9yL5+q4i4jMPTnfzxxx9ERUWRnJyc77WkpCSaNGnCX3/9VaTFiYgIpGfl8MSsjbz66w6sNoO+Lasz57FrSl6oSzsOvz4NkzvYQ527F1wzHJ6IsU8yrFAn4nIOt9hNnDiRBx98kMDAwHyvBQUF8fDDD/POO+9w3XXXFWmBIiLl2YFjaTz89Xp2JaTg4WZhVO9IBneojcVSgp6ny8myTy687H+QmWTfF9kHuo6DSnXNrU2knHE42G3atIk33njjoq9369aNt956q0iKEhER+GNnAsNnbSQlI4eqAd58NKA17WpXMruscwwDdv0OC16CE/vs+8KaQffxUEe/5IuYweFgl5CQUOD8dbkX8vDg6NGjRVKUiEh5ZrMZvPfHbiYusg86aBMRzEcDWhMa6GNyZeeJ32p/jm7/Mvt2hRC48b/Q8h51uYqYyOFgV6NGDbZu3Ur9+vULfH3z5s1Uq1atyAoTESmPktKzeerbjfyxMxGAQdERjOodhZeH0ytAukbqUVjyKsR8BYYN3L0heihcNwK8S/DEyCLlhMP/p+jVqxcvv/wyGRkZ+V47ffo0o0eP5qabbnLq5n/++Sd9+vShevXqWCwW5s6de8njly5disViyfcVHx/v1H1FREqiHXHJ3Pzhcv7YmYi3hxtv92vBuFualoxQl5MJf0+C91vD+qn2UBfVF4atgS6jFepESgiHW+xGjRrFDz/8QMOGDRk2bBiNGjUCYOfOnXz44YdYrVZeeuklp26elpZGixYtuP/++7ntttscPm/Xrl15BnGEhJTAOZxERC7CajNYs/8EiSkZhAT4cFWdSvyy+QjPz95MRraNmsG+fDywDU1rBJldqv05up2/wIJRcPKAfV+1ltBjPER0MLMyESmAw8EuNDSUFStW8OijjzJy5EgMwwDsc9p1796dDz/8kNDQUKdu3rNnT3r27OlcxdiDXMWKFZ0+T0TEbPO2xjH25+3EJZ3r/fDzcic9ywrA9Q2rMumulgRX8DKrxHPiNsG8F+Hgcvu2f5i9da753eBWAloRRSQfpyYojoiI4LfffuPkyZPs2bMHwzBo0KABwcHBrqqvQC1btiQzM5OmTZsyZswYrrnmmmK9v4hIYczbGsej02IwLth/NtT1bBrGB/e0xt3spcFSEuCPV2DDNMAADx/o8Dhc8yR4+5tbm4hcUqFWnggODqZdu3ZFXctlVatWjY8//pi2bduSmZnJZ599RqdOnVi9ejWtW7cu8JzMzEwyMzNzt89OsJydnU12drbLaj17bVfeQ0RKD6vNYMxP2/KFuvNtPHSS7OxsbGYFu5wM3NZMwe3vd7BkpQFgi7oV6w3/hSD72uDo/2kieRTH570z17YYZ/tUTWaxWJgzZw59+/Z16ryOHTtSq1Ytvv766wJfHzNmDGPHjs23f8aMGfj5+RWmVBERp+1OsvDB9stPAzIsykqDoGL+37JhUO3UWpocmUWFrGMAnPSry5YaAzjp36B4axGRfNLT07nnnntISkoqcKGI8xWqxa4kueqqq1i+fPlFXx85ciQjRozI3U5OTiY8PJxu3bpd9ptzJbKzs1m4cCFdu3a95Px/IlI+zFxzCLbvuOxxdZu0pFfzYpw6Km4j7gtH4XZoFQBGQDWsnV/Gv+kdRFv0HJ3I5RTH531By7leTKkPdhs3brzk/Hne3t54e3vn2+/p6Vksgau47iMiJdPpLCuf/72f9//Y7dDx1SpWKJ7/ZyTH2Z+j2zgD+3N0vnDNcCzXPIGHVwlbg1akFHDl570z1zU12KWmprJnz57c7f3797Nx40YqVapErVq1GDlyJIcPH+arr74C7OvV1qlThyZNmpCRkcFnn33GH3/8wYIFC8x6CyIiBbLaDOZsOMxb83cRn2wfAevpbiHbWnA3qwUIC7JPfeJS2adh5Qfw17uQbX+OjmZ32ke7BtV07b1FxOVMDXbr1q2jc+fOudtnu0wHDx7M1KlTiYuLIzY2Nvf1rKwsnn76aQ4fPoyfnx/Nmzdn0aJFea4hImK25buP8dpvO9gRZ+8+qVHRl+d6NMLTzY2hM2IA8gyiODtUYnSfKNeNiDUM2PYDLBwNSYfs+2q2gx4ToGZb19xTRIqdqcGuU6dOXGrsxtSpU/NsP/fcczz33HMurkpEpHB2xicz/redLPvHvm52gI8HwzrXZ3CH2vh42gdOTHZrnW8eu7AgH0b3iaJHUxc9W/fvepg/Eg6ttm8H1oSuY6Hp7WAxeWoVESlSpf4ZOxERsyUkZ/DOgn/4bv0hbIa9y3Vg+wieuKFBvomGezStRteosHwrT7ikpS75CCwaC5tn2bc9/eDapyB6GHhpVgCRskjBTkSkkNIyc5jy5z4+/XMfp7Ptkwz3ahbGc90bU7vKxQcguLtZiK5X2XWFZaXDivfh74mQnW7f1+IeuPFlCKzuuvuKiOkU7EREnJRjtfHtun95Z+E/HEu1T4DeulZFXuodSZsIFw9+uBSbDbZ+D4vGQPJh+77w9tDjdajRxry6RKTYKNiJiDjIMAyW7Epk/G872Z2YCkBEZT9e6NGYHk3DsJj5vNqhtTDvBTi8zr4dVMv+HF2TW/UcnUg5omAnIuKArYeTeO3XHazcdxyAYD9PnrixAQOujsDLw8SJfJP+tbfQbfnOvu1ZAa4bAdFDwdPXvLpExBQKdiIil3D41Gnemr+LORvsXZteHm7cd01tHutUnyBfEycfz0qDvyfB3+9BzmnAAq0GwA0vQ0CYeXWJiKkU7ERECpCckc1HS/by+d/7ycqxAdC3ZXWe6d6ImsEmjii12WDLt/ZWupQ4+76Ia6D761C9pXl1iUiJoGAnInKerBwbM1YfZNLi3ZxMzwagfd1KvNgrkuY1K5pbXOwq+3N0RzbYtytGQLdXIPJmPUcnIoCCnYgIYB8YMX9bPBN+38mB4/YpQupVrcCLvSK5oXGIuQMjTsXaV4zY9oN92ysArn8arn4UPH3Mq0tEShwFOxEp92JiT/L6rztYd/AkAFX8vXiqa0PuahuOh7uJAyMyU2H5u/Y56ayZgAVaD4IbRoF/iHl1iUiJpWAnIuXWweNp/G/eLn7dYn9WzcfTjYeuq8tDHevh723i/x5tNtg0AxaPg9QE+77a19mfo6vW3Ly6RKTEU7ATkXLnZFoW7/+xh69XHSDbamCxQL82NRnRtRFhQcXQtWmzwsEV9tDmHwoRHcDNvpYsB/62r+sat8m+HVwHur0KjXvrOToRuSwFOxEpNzKyrXy18gAf/LGH5IwcAK5vWJWRPRsTWS2weIrY/hPMe96+jutZgdXhuqdh/5+w/Uf7Pu9AuP5ZuPph8PAuntpEpNRTsBORMs9mM/h58xHenL+Lf0+eBqBxWAAv9ork+oZVi6+Q7T/Bt4MAI+/+5CPw69P2v1vcoM0Q6PQi+BdjbSJSJijYiUiZtmrfcV7/bQeb/00CIDTQm2e6NeK21jVxdyvGrk2b1d5Sd2GoO5+7NzywSM/RiUihKdiJSJm0JzGVCb/vZNEO++CDCl7uPNqpHv+5ti6+Xu7FX9DBFXm7XwtizYSMpOKpR0TKJAU7ESlTjqVmMmnRbmasicVqM3B3s9D/qnCG39iQqgEmPqsWt9Gx486OghURKQQFOxEpE05nWfm/5fv4eNk+UjPtAyO6RIbyQs/G1A/xN6comw32LILVH8PexY6d4x/q2ppEpExTsBORUs1qM/gh5l/eXvAP8ckZADSvGcSLvSJpX7eyOUVlJMPGGbBmCpzYd26/hw/kZFzkJIt9dGxEh2IpUUTKJgU7ESm1/tp9lNd/28mOuGQAalT05bkejejTvDpuxTkw4qxju2HNJ/ZQl5Vq3+cdBK3vhXYPQPyWM6NiIe8gijO19phwbj47EZFCULATkVJnZ3wy43/bybJ/jgIQ4OPB4zfUZ1B0bXw8izkY2Wz2btbVH9u7Xc+q0sg+B13zu8D7TFdwpTpw51cFz2PXYwJE3Vy8tYtImaNgJyKlRkJyBm8v2MX36//FZoCnu4V729fm8RvqE1zBq3iLye1u/QRO7D2z0wINe9gDXd1OBa8UEXWzfRWJi608ISJyBRTsRKTES83M4ZNle/n0r/2czrYC0LtZNZ7r0YiIyhWKt5hje850t04vuLu1Up3LX8PNHepc59o6RaRcUrATkRIrx2rj23X/8s7CfziWmglAm4hgXuwVSZuI4OIrJLe7dQrsWXhuf5VGcPVD0Pzuc92tIiImUrATkRLHMAz+2JnI+N93sifR3ipWu7Ifz/doTI+mYVgK6uJ0hYxk2DTTHuic6W4VETGJgp2ImMJqM1iz/wSJKRmEBPhwVZ1KuLtZ2Ho4idd+3cHKfccBCPbz5IkbGzDg6gi8PNyKp7jc7tYZkJVi3+cdCK3uhasegEp1i6cOEREnKdiJSLGbtzWOsT9vJy7p3JxuVQO8qVOlAmv2nwDAy8ON+66pzWOd6hPk6+n6omw22PvHmdGt53e3NoSrHoIW/dXdKiIlnoKdiBSreVvjeHRaTJ5Z3ACOpmRyNMX+HN2trWrwdLeG1Az2c31BmSmwcaZ9MuHje87stEDD7me6Wzuru1VESg0FOxEpNlabwdift+cLdeer4u/FW/1a4O7qCYaP77V3t26Yru5WESkzFOxEpNis2X88T/drQY6lZrFm/wmi67lgOTCbDfb9YR8MsXvBuf3qbhWRMkLBTkRc7kRaFj/E/Mtnf+27/MFAYsqlw5/TLtXdetVD9u5Wt2IamCEi4kIKdiLiEjabwcp9x5m5JpYF2xLIstocPjckwKdoiji+F9Z8ChumXdDdOtA+mXDlekVzHxGREkLBTkSKVGJyBt+t/5dv1h4i9kR67v6mNQK5s204Hy7ZQ2JyZoHP2VmAsCD71CeFltvd+smZ7tYzd6rcwD4YosXd4B1Q+OuLiJRgCnYicsVyrDaW/XOUmWsOsWRXIlabPUwFeHtwS6vq3N2uFk1rBAEQEuDNo9NisECecHd2qMToPlGFGziRmQKbZtmfnzu++9z+BueNblV3q4iUcaYGuz///JM333yT9evXExcXx5w5c+jbt+8lz1m6dCkjRoxg27ZthIeHM2rUKIYMGVIs9YpIXodOpPPtukN8t+5f4pPPPRfXNiKYu6+qRe9m1fD1yru4fY+m1Zg8sHW+eezCgnwY3SeKHk2rOVfE8b2w9jN7d2tmsn2fdyC0HABXPajuVhEpV0wNdmlpabRo0YL777+f22677bLH79+/n969e/PII48wffp0Fi9ezAMPPEC1atXo3r17MVQsIlk5NhZuT2DW2liW7zmGcabZLdjPk9tb1+Tuq8KpH3Lprs4eTavRNSqswJUnHGIYZyYTnqLuVhGR85ga7Hr27EnPnj0dPv7jjz+mTp06vP322wBERkayfPly3n33XQU7ERfbk5jKN2tjmR1zmBNpWbn7r2tQhbvahdM1KhRvD/dLXCEvdzeL81OanO1uXfMJHPvn3P4G3c50t96g7lYRKddK1TN2K1eupEuXLnn2de/enSeffPKi52RmZpKZmZm7nZxs76rJzs4mOzvbJXWevf75f4qURqezrMzblsC36/9l3cFTuftDA7y5rXV1+rWpQfjZ1SEMG9nZjo98dcrJ/bit+wy3TTOwZNpHtxpe/thaDMDW9n6odKa71Wq1f4mIFJPi+Lx35tqlKtjFx8cTGhqaZ19oaCjJycmcPn0aX1/ffOeMHz+esWPH5tu/YMEC/Pxcv1zRwoULL3+QSAnzbxqsTHBj/TELp6327lE3DKKCDaJDDCKD03DP2s2WlbvZUtibGDYqp+7CJ/sUGZ4VOe7fCCzntbYZBlVTtlH36AJCkzdhOdPdmuodxr6qXTlU6Vpycnxh1S5g1xW9XxGRK+XKz/v09PTLH3RGqQp2hTFy5EhGjBiRu52cnEx4eDjdunUjMDDQZffNzs5m4cKFdO3aFU/PYljAXOQKpWTk8PPmOL5bf5itR5Jz99cM9uXONjW4rVV1QgOLZn45y85fcF/wIpaUI7n7jIDqWLu9jlG3E26bv8Vt/WdYzututdXrgq3dQ3jX7USkxY3IIqlEROTKFMfn/dneRkeUqmAXFhZGQkJCnn0JCQkEBgYW2FoH4O3tjbe3d779np6exRK4ius+IoVhGAYxsSeZueYQv26O43S2vRvTy92Nbk1C6X9VLaLrVsatKNdt3f4TzL4PLpjJzpISh8fsIeDhBzlnfjv1CoBWA6Ddg7hVqY+enhORksqVn/fOXLdUBbvo6Gh+++23PPsWLlxIdHS0SRWJlE5nl/j6Zu0hdiem5u6vH+LP3e3Cua11TSpV8Cr6G9usMO95Lgx1dmf25aTbn5m7+mH72q0+rmtZFxEpa0wNdqmpqezZsyd3e//+/WzcuJFKlSpRq1YtRo4cyeHDh/nqq68AeOSRR/jggw947rnnuP/++/njjz/49ttv+fXXX816CyKlxsWW+PLxdOOm5tXpf1U4rWsFY7EUYevchQ6ugOQjlz/upolQ93rX1SEiUkaZGuzWrVtH586dc7fPPgs3ePBgpk6dSlxcHLGxsbmv16lTh19//ZWnnnqKSZMmUbNmTT777DNNdSJyCZda4uvudrW4uWV1An2K4XGB9BP2qUockZbo2lpERMooU4Ndp06dMIyCumTspk6dWuA5GzZscGFVIiWf1WZccnJfZ5b4cqns0/DPPNj8LexeCDYHh+z7h17+GBERyadUPWMnIjBva1y+5biqnVmOq0n1oAKX+GpXO5i72hW8xFeRs1nhwF+w+TvY8dO5Zb4AQpvCqVj7RMMFPmdngcDqENHBtTWKiJRRCnYipci8rXE8Oi0mXySKS8rgkWkxefY5s8TXFTMMiN8Cm7+BrbMhJe7ca0G1oNkd0PxOCIm0j4r9dhBgIW+4O9Pi2GMCuLk4fIqIlFEKdiKlhNVmMPbn7QW2c53v2vqVufuqWk4v8VUop2Jhy3f2rtajO8/t96kITW61h7nw9nmX+Yq6Ge78yj469vyBFIHV7aEu6mbX1iwiUoYp2ImUEqv2Hc/T/XoxQzs3cH4NVmekn4Dtc+1drbErzu1394ZGPaD5XVC/C3jknz8yV9TN0Li3fZRsaoL9mbqIDmqpExG5Qgp2IiVYamYOf/1zlEU7Epm3Le7yJwCJKZcPf07LzjhvEMSC8wZBWKDOddDsTntY83FiQIabu/1cEREpMgp2IiXMvyfTWbwjkUU7Eli970TufHOOCgkommW/7IMglsOWb+3PxeUZBNHM3s3a9HYIqlE09xMRkSumYCdiMpvNYOO/p1i8I4HFOxLZGZ+S5/U6VSpwY+MQOjcK4envNpGQnHGx8aSEBdmnPim0s4MgtnwLW2bDeWu5EhRuHwTR7E4IjSr8PURExGUU7ERMkJaZw1+7j7F4RwJLdiVyLDUr9zU3C7StXYkukSHcGBlKvar+ua+NuTmKR6fFXGw8KaP7ROWZz85huYMgvoOjO87t9wmyD4JodifUis47CEJEREocBTuRYnLk1GkW70hg0Y5EVu47TlbOuS7WAB8POjasSpfIUDo1qkpFv4LXae3RtBqTB7bON49d2Jl57Ho0reZ4QadPwra59kB38O9z+929oWF3+yCIBl0vPQhCRERKFAU7ERex2Qw2H07KDXM74pLzvB5R2Y8bG4fSJTKEdnUq4enuWGtYj6bV6BoVdsmVJy7q7CCILd/ZB0FYz7YUWqD2tfbn5iJvBt+Kzr1ZEREpERTsRIpQelYOy3cfY/GORP7YlcjRlMzc19ws0LpWMDdG2sNc/RB/LJZCdJsC7m4Wx6c0sdng4HL75MHbf4bMpHOvhTY9MwjiDg2CEBEpAxTsRC5wuXVYLxSXdJrFOxJZvCOBFXuPk3leF6u/twfXN6zCjY1D6dw4hEoVCu5idZrNeuk54AwDErbapyfZ8n3eQRCBNc+tBBHapGjqERGREkHBTuQ8l1qH9ezzazabwdYjSSw6E+a2HcnbxVoz2JcukaHcGBnC1XUq4+VRxAMOtv90kVUb3oDqrezdrFu+g8Tt5173CYKovvYwV6uDBkGIiJRRCnYiZ1xsHdb4pAwenRbDIx3rcep0Fot3JJJ4XherxQKtwiue6WINpWFo4btYLyt3ndULqkw+At/em3efu9d5gyC6aRCEiEg5oGAnwqXXYT27b/Kyvbn7Kni5c12DqtwYGULnxiFU8S+G0GSz2lvqLrdabMSZQRBRN4NvsOvrEhGREkPBTgRYs/+EQ+uwdosKZUD7CNrXrYS3RzGva7p3Sd7u14vp9IKW6hIRKacU7KRcS0rPZtnuo3y94oBDx/duXo2ODau6tqjzZaXB7oWwfS7s/M2xc1ITXFqSiIiUXAp2Uq4YhsHO+BSW7Epkyc5E1h88ie0yPZvnK7J1WC8lKw3+mW8Pc7sXQna6c+f7h7qkLBERKfkU7KTMS8vMYcXe4/yxM5GluxLzdbk2DPWnY6OqzF5/mJNpWa5bh/VSMlNh93z7ShC7F0LO6XOvVaxlH9Ea2Qe+GwzJcRT8nJ3FPjo2ooNrahQRkRJPwU7KpAPH0vhjZyJLdiWyet8Jsqzn5pbz8XTjmnpV6NQ4hM6NqlIz2A+ANrWCXbMO68Vkpthb5rbNgT2LIOe8wFkxApr0tQe66q3sQ2/BPqXJt4POVFVAlT0m5J3PTkREyhUFOykTMnOsrN1/MrdVbt+xtDyvh1fy5YZGIXRqHEJ03cr4eOYPP0W6DuvFZCSf62a9MMwF1zkX5qq1OBfmzhd1M9z51UXmsZtgf11ERMotBTspMZxd8SE+KSP3Wbm/9xwjLcua+5qHm4Wr6lSicyP7dCT1qlZwaG65K1qH9WIykmHX72fC3GKwnpsDj0r1zoS5WyCsecFh7kJRN0Pj3pdeeUJERMolBTspERxZ8cFqM9h4yN4q98fOo+yIy7viQ9UAbzo3qsoNjUO4pn4VAnw8C1WLU+uwXszpU/DPPPszc3sXgzXr3GuV69tb5Zr0ta/VWpjJjN3cNaWJiIjko2Anprvcig9DrqnNibQslv1zlFPp2bmvWyzQomZFbmgcwg2NQ4iqFohbUT4D56zTp2DXb2fC3B9gO1crVRraw1zULfb1WV21MoWIiJRrCnZiKkdWfPji7wO5+wJ9POjYyD7ooWPDqlR2xYoPNqvj3ZynT9rnl9s+1z6BcJ4w1+jcM3MhkQpzIiLicgp2YpqMbCuz1//r0IoPN7eozr3REbQKr4iHuwsXsN/+00UGJrxxbmBC+gnY+as9zO1bCracc8dWjTz3zFxIpOvqFBERKYCCnRSLpPRstsUlsf1Isv0rLpndialYHZwd+MbIENrVdtEccmdt/+nMVCIX1JQcZ9/f9n44eQD2L8sb5kKizj0zV7WRa2sUERG5BAU7KZCzI1TPMgyDuKQMtp0JcNuOJLHtSDKHT50u8Hh/b3dSM60FvnY+l6/4YLPaW+ou1Sm87v/O7Qpteu6ZuaoNXVubiIiIgxTsJB9HRqgC5Fht7D+WxrYzAW57nD3MnTxvgMP5agb70qR6IFHVgux/Vg8kJMCb6/63hPikDHNWfADIyYLN3+btfr2YVgPhmqegSn3X1SMiIlJICnaSx6VGqD4yLYb+V4UDFrbHJbMzLpnMHFu+a7i7WWgQ4k9U9UCiqgXSpHoQUdUCCfIrePqR0X2iimfFh5xMOLYbju6Eo7vg6A77n8f3gnH5VkMA6nZWqBMRkRJLwU5yOTJCdeaaQ3n2+3m5E1kt8ExLnD3ENQj1L3Blh4s5u+LDKz9tITx1EyGcIpGKHPJvwcs3N3N+xYfs02cC3Hnh7ehOOLEPjPxBFABPP8hOv/y1/UOdq0VERKQYKdgJAOlZOXy+fL/DI1S7RoXSpHogtStXKJK543q4raW7z/NYss51hxo+1bG4vQFcZJmsrHQ49s+ZFrid5wLcyQMXD3DeQRDS2D7IoWrkmT8b2wPbpGb2gRIX6xQOrG6f+kRERKSEUrArpwzDYO/RVJbuOsrSXUdZs/8EWdaLhKEL3BgZQp8W1YuumDOjUS0XBCrL2dGot31iX63h/ACXuANOxVJwCAN8KtqnG6na+MzXmQAXEHbx+eR6vHFmVOxFOoV7TNCyXSIiUqIp2JUjaZk5/L3nGEv/OcqyXUfzjVStGuDF0ZSsi5x9TpGOUHVkNOoPD178fN9K+QNcSCRUqOr8hMBRN8OdX11kHrsJ5+axExERKaFKRLD78MMPefPNN4mPj6dFixa8//77XHXVVQUeO3XqVO677748+7y9vcnIuHwXYlngzDQkhmGwOzGVpbsSWbrrKGsPnCDbei5AeXm4cXWdSnRqFEKnRlWJqORX/CNU9y1xbDSqTxCENc8b3qo2hgpViq4WsIe3xr0dX3lCRESkBDE92H3zzTeMGDGCjz/+mKuvvpqJEyfSvXt3du3aRUhISIHnBAYGsmvXrtxtSzlZqsmRaUhSz7bK7TrKn//kb5WrVcmPTo2q0qlRVdrXrYyfV94fgWIZoXp8L+xZBLsX2lducETvd6DZHVd2X0e5uUOd64rnXiIiIkXI9GD3zjvv8OCDD+a2wn388cf8+uuvfP7557zwwgsFnmOxWAgLCyvOMk13uWlIbmtVg7ikDNYdzN8q175uZTo1tIe5OlUqXDIInx2hemGADCtgHjuHZaXDgeWwZ6E9zJ3c7/w1NBpVRETkskwNdllZWaxfv56RI0fm7nNzc6NLly6sXLnyouelpqYSERGBzWajdevWvP766zRp0qTAYzMzM8nMzMzdTk5OBiA7O5vs7IIn0i0KZ69dFPew2gzG/LTtktOQ/LDhcO6+WpV86digCtc3rMLVtSvh63WuGzEnJ4fLubFRFTo1uI51B0+SmJJJSIA3bSOCcXezOPZ+DANO7MVt72IsexdjiV2BJedcSDTcPDHCr8aodyO2Op3x+PYeSInLN3jC/v7so1FzqrcDF/57iYiIFEZRft5f7h6OMDXYHTt2DKvVSmho3taY0NBQdu7cWeA5jRo14vPPP6d58+YkJSXx1ltv0aFDB7Zt20bNmjXzHT9+/HjGjh2bb/+CBQvw8/MrmjdyAZsBe5MtJGdb2P39IuoFGhSm9/J0DsSfhk3HLcQnX/4Zr+tDrVxfzaCqbwqQQvqe/SzZ4/x9ATBsVE7dRa3sU2R4VmT+9kZgcbvo4e62TKqk7CAkeTOhyZupkJWY5/V0z0okBrYgIbA5xwKiyHH3hZPAyViqVbmddinvY3CuyxfOhlaDtZVvI27e/EK+EREREddbuHChy66dnu7APKtnWAzDcGwVdhc4cuQINWrUYMWKFURHR+fuf+6551i2bBmrV6++7DWys7OJjIykf//+vPLKK/leL6jFLjw8nGPHjhEYGFg0b+Q887cl8OpvO4lPPnfPsEBvRvVqTPcmBXcnpmRksycxjd2JqexOTGXPUfvfE867hiPe6deMPs0L0VV6AcvOX3Bf8CKWlPPmlAuojrXb6xiNbzqzw4ATe861yh1cgcV6rl7DzROjVrS9Va5eF6jS8JKjVAu8Z2ANrF1fO3dPERGREiY7O5uFCxfStWtXPD0LXmHpSiUnJ1OlShWSkpIum11MbbGrUqUK7u7uJCQk5NmfkJDg8DN0np6etGrVij17Cm6a8vb2xtvbu8DzivofYN7WOB6ftSlfh2JCciaPz9rE23e2IKJyBXYnpPBPQiq7E1PYnZBKfPLFR/SGBnoTEuDNlsP2LmQ3bFzltjN3dYY1tsbYsLekVatY4crf0/afYPZ9XDj9iCUlDo/Z98G1T0Fmsv1ZuVMH854bVAsadIH6XbHUuR6Ltz8ADo0nbXYrNLk5z2hUS0QHPDQaVURESgFX5Irzr+0oU4Odl5cXbdq0YfHixfTt2xcAm83G4sWLGTZsmEPXsFqtbNmyhV69ermwUgfqcGA5rhHfbrro+WGBPjQI9adBSAANQ/1pEOpP/ZAAgnw9sdoMrn3jD1qk/Ml/Pb+iuuVE7nlHjEqMyx7EpoDrr3waEkfmlFv+zrld7l72qUDqd4UGXS/bKndZGo0qIiJyRUwfFTtixAgGDx5M27Ztueqqq5g4cSJpaWm5o2QHDRpEjRo1GD9+PADjxo2jffv21K9fn1OnTvHmm29y8OBBHnjgATPfBmv2n3BoOa5gP0+a1gg6L8AFUD/EnyDfi6dxdzcLH7X+lxYrJuZ7LYwTfOQ5kU2t615+GpKcTEg/AadPFPxn4k7H5pRr2AvaDILa18GZVjkRERExn+nB7q677uLo0aP897//JT4+npYtWzJv3rzcARWxsbG4uZ17aP/kyZM8+OCDxMfHExwcTJs2bVixYgVRUVFmvQUAElMcmyB5zM1NuKVlDecubrPSatsEDEvewQUAbhZ7W1qrjaMhMA0yTp0X1o6f+ftJ+5/Zac7d92Ka3Q6NehbNtURERKTImB7sAIYNG3bRrtelS5fm2X733Xd59913i6Eq5zi6zJbTy3EZBmybC8lH8oW6syxgD2/zR17kiPMPdgPfYPtSXH6Vzvsz2P7sXMxXl7+G5pQTEREpkUpEsCsLrqpTiWpBPsQnZWApYICDgZtjy3GlHoUjMXA45tyf6cccK6JmWwhrcUFgOy+4+VUC7yBwu8i0JTarfUWI5DgKfs7OPqccER0cq0dERESKlYJdEXF3szC6TxRzZ3x80QEOffs8kvc5uIwkOLLxvCC3AZIO5b+4xQ0M2+WLuHHMlQ0+cHOHHm/At4PgYouK9ZigdVNFRERKKAW7ItTDbS3dvSZhXNDaFWY5wWSvSVhOBsKqCueC3PHdBVzFYh9dWqM1VG9t/7NqJHzYtnha0qJuhju/so+OPX8gRWB1e6iLuvnK7yEiIiIuoWBXVM5MFWKxL4KVh73j04DF4/KfV7HWuQBXvTVUawE+BUw+WJwtaVE3Q+PeeeaUI6KDWupERERKOAW7onJwhWNThdRsZ5/3rUZrqN4KKlRx7PrF3ZKmOeVERERKHQW7opKacPljAK5+BJrdUbh7qCVNRERELkHBrqg4OgXIlU4VopY0ERERuYiLzHshTovoYO8WvdRsc4E1NFWIiIiIuIyCXVE5O1UIkD/caaoQERERcT0Fu6J0doBDYLW8+wOr2/drqhARERFxIT1jV9TODHDI2fcnG/+aT8vruuNR93q11ImIiIjLqcXOFdzcMSKu5XClaIyIaxXqREREpFgo2ImIiIiUEQp2IiIiImWEgp2IiIhIGaFgJyIiIlJGKNiJiIiIlBEKdiIiIiJlhIKdiIiISBmhYCciIiJSRijYiYiIiJQRCnYiIiIiZUS5WyvWMAwAkpOTXXqf7Oxs0tPTSU5OxtPT06X3EhEREXMUx+f92cxyNsNcSrkLdikpKQCEh4ebXImIiIiI41JSUggKCrrkMRbDkfhXhthsNo4cOUJAQABXXXUVa9eudcl9kpOTCQ8P59ChQwQGBrrkHiLt2rVz2c+w2JXn73FZee8l/X2UlPrMqKO47unK+xTH571hGKSkpFC9enXc3C79FF25a7Fzc3OjZs2aALi7u7s8dAUGBirYicsUx89weVeev8dl5b2X9PdRUuozo47iumdZ+Ly/XEvdWeV68MTQoUPNLkHkiuhn2PXK8/e4rLz3kv4+Skp9ZtRRXPcsKd/j4lDuumKLS3JyMkFBQSQlJZWI38RERESk6JW0z/ty3WLnSt7e3owePRpvb2+zSxEREREXKWmf92qxExERESkj1GInIiIiUkYo2ImIiIiUEQp2IiIiImWEgp2IiIhIGaFgZ5L09HQiIiJ45plnzC5FREREXKB27do0b96cli1b0rlz52K5Z7lbeaKkeO2112jfvr3ZZYiIiIgLrVixAn9//2K7n1rsTLB792527txJz549zS5FREREyhAFOyf9+eef9OnTh+rVq2OxWJg7d26+Yz788ENq166Nj48PV199NWvWrMnz+jPPPMP48eOLqWIRERFxVlF83lssFjp27Ei7du2YPn16sdStYOektLQ0WrRowYcffljg69988w0jRoxg9OjRxMTE0KJFC7p3705iYiIAP/74Iw0bNqRhw4bFWbaIiIg44Uo/7wGWL1/O+vXr+emnn3j99dfZvHmzy+vWyhNXwGKxMGfOHPr27Zu77+qrr6Zdu3Z88MEHANhsNsLDw3n88cd54YUXGDlyJNOmTcPd3Z3U1FSys7N5+umn+e9//2vSuxAREZFLKczn/YWeffZZmjRpwpAhQ1xaq1rsilBWVhbr16+nS5cuufvc3Nzo0qULK1euBGD8+PEcOnSIAwcO8NZbb/Hggw8q1ImIiJQijnzep6WlkZKSAkBqaip//PEHTZo0cXltGhVbhI4dO4bVaiU0NDTP/tDQUHbu3GlSVSIiIlKUHPm8T0hI4NZbbwXAarXy4IMP0q5dO5fXpmBnIlc3x4qIiIg56taty6ZNm4r9vuqKLUJVqlTB3d2dhISEPPsTEhIICwszqSoREREpSiX5817Brgh5eXnRpk0bFi9enLvPZrOxePFioqOjTaxMREREikpJ/rxXV6yTUlNT2bNnT+72/v372bhxI5UqVaJWrVqMGDGCwYMH07ZtW6666iomTpxIWloa9913n4lVi4iIiDNK6+e9pjtx0tKlSwtc723w4MFMnToVgA8++IA333yT+Ph4WrZsyXvvvcfVV19dzJWKiIhIYZXWz3sFOxEREZEyQs/YiYiIiJQRCnYiIiIiZYSCnYiIiEgZoWAnIiIiUkYo2ImIiIiUEQp2IiIiImWEgp2IiIhIGaFgJyIiIlJGKNiJiIiIlBEKdiJiugMHDmCxWNi4caPZpeTauXMn7du3x8fHh5YtWzp83tKlS7FYLJw6dcpltZU2u3btIiwsjJSUlIse8/HHH9OnT59irEqkbFKwExGGDBmCxWJhwoQJefbPnTsXi8ViUlXmGj16NBUqVGDXrl0sXry4wGM6derEk08+mWdfhw4diIuLIygoqBiqLFhJC5cjR47k8ccfJyAg4KLH3H///cTExPDXX38VY2UiZY+CnYgA4OPjwxtvvMHJkyfNLqXIZGVlFfrcvXv3cu211xIREUHlypUdPs/Ly4uwsLByG4gvFBsbyy+//MKQIUMueZyXlxf33HMP7733XvEUJlJGKdiJCABdunQhLCyM8ePHX/SYMWPG5OuWnDhxIrVr187dHjJkCH379uX1118nNDSUihUrMm7cOHJycnj22WepVKkSNWvW5Isvvsh3/Z07d9KhQwd8fHxo2rQpy5Yty/P61q1b6dmzJ/7+/oSGhnLvvfdy7Nix3Nc7derEsGHDePLJJ6lSpQrdu3cv8H3YbDbGjRtHzZo18fb2pmXLlsybNy/3dYvFwvr16xk3bhwWi4UxY8bku8aQIUNYtmwZkyZNwmKxYLFYOHDgQL7WsqlTp1KxYkV++eUXGjVqhJ+fH3fccQfp6el8+eWX1K5dm+DgYJ544gmsVmvu9TMzM3nmmWeoUaMGFSpU4Oqrr2bp0qW5rx88eJA+ffoQHBxMhQoVaNKkCb/99hsHDhygc+fOAAQHB2OxWHJDle3/27v/WCrbPw7gbx35WeZnp5SQMMTpRBvrh/KUQ6W0fmzG2MQoCh1a1prSytGSVWOaNqU1av3YiGQVI0myktQSq1SOmI5iUhzX94/W/XV3jl9PPc/z/Xo+r8127uu+7uvzuc692WfXfZ1zhoaQkpICa2tr6OrqQiQS4fLly9yYP3IvKiqCi4sLdHR04O7ujqdPn44ZdySXLl2CSCTC7NmzR+zzg5+fHwoKCvDly5cx+xJC1KPCjhACABAIBDhy5AhOnTqFd+/e/dJYd+7cQVtbGyoqKnD8+HEkJSVh3bp1MDIyQk1NDSIjIxEREaESJyEhAVKpFI8ePYKHhwf8/PzQ1dUFAOju7oaXlxfEYjEePnyIkpISfPjwAVu3buWNce7cOWhpaaGqqgpZWVlq8ztx4gTS0tJw7NgxPHnyBBKJBOvXr8fLly8BAHK5HE5OTpBKpZDL5YiPj1c7hoeHB8LDwyGXyyGXy2FhYaE2Xl9fH06ePIn8/HyUlJSgvLwcGzduRHFxMYqLi3H+/HmcPn2aV2RFR0ejuroa+fn5ePLkCbZs2QIfHx8ux6ioKHz9+hUVFRVoaGhAamoqpk2bBgsLC1y5cgXA971tcrkcJ06cAACkpKQgNzcXWVlZaGxsRFxcHIKCglQK6ISEBKSlpaG2thZmZmbw8/PDwMDAqHFHUllZCTc3txHPD+fm5obBwUHU1NSMqz8hRA1GCPnXCwkJYRs2bGCMMebu7s5CQ0MZY4xdu3aNDf83kZSUxEQiEe/a9PR0ZmlpyRvL0tKSKZVKrs3e3p4tW7aMOx4cHGT6+vosLy+PMcbYq1evGAAmk8m4PgMDA2zOnDksNTWVMcbYoUOHmLe3Ny/227dvGQD24sULxhhjnp6eTCwWjzlfc3NzdvjwYV7b4sWL2Y4dO7hjkUjEkpKSRh3H09OTxcTE8NrKysoYAKZQKBhjjOXk5DAArLm5mesTERHB9PT0WE9PD9cmkUhYREQEY4yxN2/eMIFAwN6/f88b+48//mCJiYmMMcacnZ3ZgQMH1Ob1cw6MMdbf38/09PTYvXv3eH23bdvGAgICeNfl5+dz57u6upiuri67ePHimHHVEYlELDk5edz9jYyM2NmzZ8fdnxDCp/kP1pSEkP9Bqamp8PLyUrtKNV5OTk6YMuW/DwSEQiEWLFjAHQsEApiYmKCjo4N3nYeHB/daU1MTbm5ueP78OQCgvr4eZWVlaleHWlpaYGdnBwBwdXUdNbfPnz+jra0NS5Ys4bUvWbIE9fX145zhxOjp6cHGxoY7FgqFsLKy4s1FKBRy70dDQwOUSiU3px++fv3K7ffbtWsXtm/fjtLSUqxatQqbNm2Ci4vLiDk0Nzejr68Pq1ev5rV/+/YNYrGY1zb8PhgbG8Pe3p67DxON++XLF+jo6PDahs87KCiIt7Kqq6uLvr6+EccjhIyOCjtCCM/y5cshkUiQmJiosuF9ypQpYIzx2n48ohtu6tSpvGMNDQ21bUNDQ+POq7e3F35+fkhNTVU5N2vWLO61vr7+uMf8u0z0/ejt7YVAIEBdXR0EAgGv34+iKCwsDBKJBEVFRSgtLUVKSgrS0tKwc+dOtTn09vYCAIqKilT2u2lra497LhONa2pqqvKBnOFfa2NgYMA79/HjR5iZmY07H0IIH+2xI4SokMlkKCwsRHV1Na/dzMwM7e3tvOLud3733P3797nXg4ODqKurg4ODAwBg0aJFaGxshJWVFebPn8/7m0gxZ2BgAHNzc1RVVfHaq6qq4OjoOKF8tbS0eB94+F3EYjGUSiU6OjpU5jpz5kyun4WFBSIjI3H16lVIpVJkZ2dzeQHg5ebo6AhtbW20traqjPnz3sDh90GhUKCpqYm7D6PFHWkuz54947UNjz1jxgyuvaWlBf39/SoriISQ8aMVO0KICmdnZwQGBqp89cSKFSvQ2dmJo0ePYvPmzSgpKcGNGzdUVl3+rIyMDNja2sLBwQHp6elQKBQIDQ0F8H3TfnZ2NgICArBnzx4YGxujubkZ+fn5OHPmjMrK1mgSEhKQlJQEGxsbLFy4EDk5OXj8+DEuXLgwoXytrKxQU1OD169fY9q0aTA2Np7Q9SOxs7NDYGAggoODkZaWBrFYjM7OTty+fRsuLi5Yu3YtYmNj4evrCzs7OygUCpSVlXHFl6WlJTQ0NHD9+nWsWbMGurq6mD59OuLj4xEXF4ehoSEsXboUnz59QlVVFQwMDBASEsLFT05OhomJCYRCIfbt2wdTU1P4+/sDwKhx1ZFIJAgLC4NSqRzzHlVWVmLevHm8x9aEkImhFTtCiFrJyckqj0odHByQmZmJjIwMiEQiPHjw4Jf24v1MJpNBJpNBJBLh7t27KCgogKmpKQBwq2xKpRLe3t5wdnZGbGwsDA0Nefv5xmPXrl3YvXs3pFIpnJ2dUVJSgoKCAtja2k5onPj4eAgEAjg6OsLMzAytra0Tun40OTk5CA4OhlQqhb29Pfz9/VFbW4u5c+cC+L4aFxUVBQcHB/j4+MDOzg6ZmZkAgNmzZ+PgwYPYu3cvhEIhoqOjAQCHDh3C/v37kZKSwl1XVFQEa2trXmyZTIaYmBi4urqivb0dhYWFvFXAkeKq4+vrC01NTdy6dWvMOefl5SE8PPxPvV+EkO802M8bZgghhPwrlZeXY+XKlVAoFDA0NPxt42ZkZKCgoAA3b94csU9jYyO8vLzQ1NT0j/5qByH/7+hRLCGEkL9UREQEuru70dPTM+LPisnlcuTm5lJRR8gvohU7QgghAP66FTtCyN+HCjtCCCGEkEmCPjxBCCGEEDJJUGFHCCGEEDJJUGFHCCGEEDJJUGFHCCGEEDJJUGFHCCGEEDJJUGFHCCGEEDJJUGFHCCGEEDJJUGFHCCGEEDJJUGFHCCGEEDJJ/AczOumXhRtEowAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.semilogx(time_step_cpu,time_cpu,marker='o',label='Explicit method')\n", "plt.semilogx(time_step_cpu_2,time_cpu_2,marker='o',label='Implicit method')\n", "plt.ylabel('Computational time (s)')\n", "plt.xlabel('Number of timesteps (-)')\n", "plt.legend()\n", "plt.grid()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next cell, we implement a vectorized version of the explicit scheme where we make use of array slicing to accelerate the computation." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def explicit_scheme_vectorized(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha):\n", " T = np.zeros([ntimestep,nx])\n", " T[:,0] = T_left\n", " T[:,-1] = T_right\n", " #\n", " T[0,:] = T_init\n", " #\n", " gamma = alpha*delta_t/delta_x**2.0\n", " for k in range(1,ntimestep):\n", " T[k,1:-1] = (T[k-1,2:]+T[k-1,:-2])*gamma+T[k-1,1:-1]*(1.0-2.0*gamma)\n", " return T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using a timestep $\\Delta t$ of 0.0001 s we simulate the temperature problem and check that we get similar results as with the *scalar* version of the numerical method." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "delta_t = 0.0001\n", "time = np.arange(0.0,1.0,delta_t)\n", "ntimestep = len(time)\n", "nx = 100\n", "x = np.linspace(0.0,1.0,nx)\n", "delta_x = x[1]-x[0]\n", "#\n", "T = explicit_scheme_vectorized(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha)\n", "#\n", "time_plots = [0.1,0.25,0.5,0.75,0.90]\n", "indexes = find_indexes(time_plots,time)\n", "for indx in indexes:\n", " plt.plot(x,T[indx,:],label='Time = {0:2.2f} s'.format(time[indx]))\n", "plt.legend()\n", "plt.grid()\n", "plt.xlim([0.0,1.0])\n", "plt.ylim([50.0,220.0])\n", "plt.xlabel(r'Coordinate $x$ along bar (m)')\n", "plt.ylabel(r'Temperature $T$ along bar ($^\\circ$C)')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then carry out the same analyses as before to evaluate the computational cost of this implementation." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100000 0.25864386558532715\n", "50000 0.11693215370178223\n", "33334 0.07763195037841797\n", "25000 0.062159061431884766\n", "20000 0.047564029693603516\n", "16667 0.04027700424194336\n", "14286 0.03395509719848633\n", "12500 0.029675006866455078\n", "11112 0.028294801712036133\n", "10000 0.02913689613342285\n" ] } ], "source": [ "timesteps = np.linspace(1e-5, 1e-4, 10)\n", "time_cpu_3 = np.zeros_like(timesteps)\n", "time_step_cpu_3 = np.zeros_like(timesteps)\n", "#\n", "nx = 100\n", "x = np.linspace(0.0,1.0,nx)\n", "delta_x = x[1]-x[0]\n", "#\n", "import time\n", "for i,dt in enumerate(timesteps):\n", " tmp = np.arange(0.0,1.0,dt)\n", " ntimestep = len(tmp)\n", " start = time.time() \n", " T = explicit_scheme_vectorized(ntimestep,nx,delta_t,delta_x,T_left,T_right,T_init,alpha)\n", " end = time.time()\n", " time_cpu_3[i] = end - start\n", " time_step_cpu_3[i] = ntimestep\n", " print(ntimestep, end - start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we, now, plot all three series of computations we do observe a significant speed-up from the explicit method over the implicit one. Such a small example does illustrates how coding itself might be important to consider to efficiency." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.semilogx(time_step_cpu,time_cpu,marker='o',label='Explicit method')\n", "plt.semilogx(time_step_cpu_3,time_cpu_3,marker='o',label='Explicit method vector')\n", "plt.semilogx(time_step_cpu_2,time_cpu_2,marker='o',label='Implicit method')\n", "plt.ylabel('Computational time (s)')\n", "plt.xlabel('Number of timesteps (-)')\n", "plt.legend()\n", "plt.grid()\n", "plt.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.1" } }, "nbformat": 4, "nbformat_minor": 2 }