From 37e174d91b4d8ccd0c0caaaaed4443cb876dc8ab Mon Sep 17 00:00:00 2001 From: Baiwei Zhang Date: Tue, 29 Nov 2016 19:25:20 -0500 Subject: [PATCH 1/4] Start of project --- Zhangb201092283/.DS_Store | Bin 0 -> 6148 bytes Zhangb201092283/Project.ipynb | 228 ++++++++++++++++++++++++++++++++++ 2 files changed, 228 insertions(+) create mode 100644 Zhangb201092283/.DS_Store create mode 100644 Zhangb201092283/Project.ipynb diff --git a/Zhangb201092283/.DS_Store b/Zhangb201092283/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..4d568ec8d895f42c6ea103be7eb4d7742ca6a5a5 GIT binary patch literal 6148 zcmeH~F-rqM5QX1pihu|yEw>j0|G^SsVJFy&T(nSvCt`|p*ZH&Ko0(NSP750gc>^== zc5dc2_Z2r;0JhxTodXL1bGj?uJWS2+yHD((WsFMaGw!j*E6(tM=SlVV3GY3|6<*Ne zan!%V6S~VyzwS1D$14AcH}q4w?e~l_5fA|p5CIVof!`DG*-M)rr7DVm2#CNZ0slS} zx@&DZq{gR%A&vml8Pj3Bj!N?_>lR1ONa4 literal 0 HcmV?d00001 diff --git a/Zhangb201092283/Project.ipynb b/Zhangb201092283/Project.ipynb new file mode 100644 index 0000000..686d1ca --- /dev/null +++ b/Zhangb201092283/Project.ipynb @@ -0,0 +1,228 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy\n", + "import sympy\n", + "from matplotlib import pyplot\n", + "%matplotlib inline\n", + "from matplotlib import rcParams\n", + "rcParams['font.family'] = 'serif'\n", + "rcParams['font.size'] = 16" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "50\n" + ] + } + ], + "source": [ + "Vm1 = 80 #constants\n", + "Vm2 = 136\n", + "L = 11\n", + "rhom = 250\n", + "nx = 51\n", + "dx = L/(nx-1)\n", + "dt = 0.001\n", + "T = 3.0\n", + "nt = int(T/60/dt)\n", + "x = numpy.linspace(0,L,nx)\n", + "\n", + "rho = numpy.ones(nx) #arrays\n", + "rhon = numpy.ones(nx)\n", + "rho = numpy.ones(nx)*20\n", + "rho[10:20] = 50\n", + "\n", + "print(nt)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "for n in range(1, nt): \n", + " rhon = rho.copy() \n", + " rho[1:] = rhon[1:]-Vm*dt/dx*(rhon[1:]-rhon[0:-1])+Vm/rhom*dt/dx*(rhon[1:]**2-rhon[0:-1]**2)\n", + " rho[0] = 20" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def Vminandavg(rhon, Vm, rhom):\n", + " V = numpy.ones(nx)\n", + " V = Vm*(1-rho/rhom)\n", + " print(\"Avg V is\",numpy.average(V)/3.6,\"m/s\")\n", + " n = numpy.min(V)/3.6\n", + " print(\"Min V is\",n,\"m/s\")" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Avg V is 20.6361655773 m/s\n", + "Min V is 17.7777777778 m/s\n" + ] + } + ], + "source": [ + "Vminandavg(rhon, Vm1, rhom)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Avg V is 20.6361659024 m/s\n", + "Min V is 18.163766147 m/s\n" + ] + } + ], + "source": [ + "Vminandavg(rhon, Vm1, rhom)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Avg V is 20.7303256984 m/s\n", + "Min V is 18.7766516147 m/s\n" + ] + } + ], + "source": [ + "Vminandavg(rhon, Vm1, rhom)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Avg V is 33.8666666667 m/s\n", + "Min V is 30.2222222222 m/s\n" + ] + } + ], + "source": [ + "Vminandavg(rhon, Vm2, rhom)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Avg V is 33.8666667139 m/s\n", + "Min V is 30.6820137293 m/s\n", + "50 [ 20. 20. 20. 20. 20. 20. 20.\n", + " 20. 20. 20. 20.00000066 20.00001512\n", + " 20.0001722 20.00129076 20.00717207 20.03154717 20.1145637\n", + " 20.3535679 20.94604883 22.22157816 24.5985979 28.37004731\n", + " 33.3291947 38.58359842 42.97727891 45.79195913 46.95726209\n", + " 46.75738306 45.53355007 43.57587335 41.12075189 38.36794482\n", + " 35.49110654 32.64175131 29.94964796 27.52072175 25.43282749\n", + " 23.73058791 22.42182859 21.47869924 20.84531008 20.45076547\n", + " 20.22360097 20.10297213 20.04396187 20.0173812 20.00635805\n", + " 20.00214976 20.00067112 20.00019319 20.0000512 ]\n" + ] + } + ], + "source": [ + "Vminandavg(rhon, Vm2, rhom)\n", + "print(nt,rho)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [Root]", + "language": "python", + "name": "Python [Root]" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} From 8b1f725f72bad7b51a5b787f79e82e1c416b5a81 Mon Sep 17 00:00:00 2001 From: Baiwei Zhang Date: Tue, 29 Nov 2016 19:34:11 -0500 Subject: [PATCH 2/4] Second File Started --- Zhangb201092283/P2.ipynb | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 Zhangb201092283/P2.ipynb diff --git a/Zhangb201092283/P2.ipynb b/Zhangb201092283/P2.ipynb new file mode 100644 index 0000000..286dcb3 --- /dev/null +++ b/Zhangb201092283/P2.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 0 +} From b354e90a587ab4fbc9094670c84295bce22a27de Mon Sep 17 00:00:00 2001 From: Baiwei Zhang Date: Tue, 13 Dec 2016 13:32:17 -0500 Subject: [PATCH 3/4] BCs in the project set --- Zhangb201092283/Project.ipynb | 355 +++++++++++++++++++++++++--------- 1 file changed, 266 insertions(+), 89 deletions(-) diff --git a/Zhangb201092283/Project.ipynb b/Zhangb201092283/Project.ipynb index 686d1ca..65f2fd9 100644 --- a/Zhangb201092283/Project.ipynb +++ b/Zhangb201092283/Project.ipynb @@ -2,109 +2,131 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 164, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "import numpy\n", - "import sympy\n", - "from matplotlib import pyplot\n", + "import numpy \n", + "from matplotlib import pyplot \n", "%matplotlib inline\n", "from matplotlib import rcParams\n", "rcParams['font.family'] = 'serif'\n", - "rcParams['font.size'] = 16" + "rcParams['font.size'] = 16\n", + "import sympy\n", + "sympy.init_printing()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Firstly suppose there is a 1D convection due to a constant input of h0= 100 at X=0:" ] }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 166, "metadata": { "collapsed": false }, + "outputs": [], + "source": [ + "(q, k, h0, \n", + " h) = sympy.symbols('q k ho h')" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "eq=sympy.Eq(q,-k*(h0-h))" + ] + }, + { + "cell_type": "code", + "execution_count": 168, + "metadata": { + "collapsed": false, + "scrolled": true + }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "50\n" - ] + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAJwAAAAXCAYAAAD+zyZWAAAABHNCSVQICAgIfAhkiAAABD9JREFU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\nYpT9/Kkg3GUAAAAASUVORK5CYII=\n", + "text/latex": [ + "$$q = - k \\left(- h + ho\\right)$$" + ], + "text/plain": [ + "q = -k⋅(-h + ho)" + ] + }, + "execution_count": 168, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "Vm1 = 80 #constants\n", - "Vm2 = 136\n", - "L = 11\n", - "rhom = 250\n", - "nx = 51\n", - "dx = L/(nx-1)\n", - "dt = 0.001\n", - "T = 3.0\n", - "nt = int(T/60/dt)\n", - "x = numpy.linspace(0,L,nx)\n", - "\n", - "rho = numpy.ones(nx) #arrays\n", - "rhon = numpy.ones(nx)\n", - "rho = numpy.ones(nx)*20\n", - "rho[10:20] = 50\n", - "\n", - "print(nt)" + "eq" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 169, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "for n in range(1, nt): \n", - " rhon = rho.copy() \n", - " rho[1:] = rhon[1:]-Vm*dt/dx*(rhon[1:]-rhon[0:-1])+Vm/rhom*dt/dx*(rhon[1:]**2-rhon[0:-1]**2)\n", - " rho[0] = 20" + "sympy.init_printing(use_latex=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot of analytical BCs" ] }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 180, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "def Vminandavg(rhon, Vm, rhom):\n", - " V = numpy.ones(nx)\n", - " V = Vm*(1-rho/rhom)\n", - " print(\"Avg V is\",numpy.average(V)/3.6,\"m/s\")\n", - " n = numpy.min(V)/3.6\n", - " print(\"Min V is\",n,\"m/s\")" + "nt = int(100)\n", + "dt = 1.0\n", + "e=numpy.e\n", + "T = numpy.arange(1,100, 1)\n", + "h0 = 100.0\n", + "k= 0.1\n", + "hBC = numpy.zeros(99)" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 171, "metadata": { - "collapsed": false + "collapsed": true }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Avg V is 20.6361655773 m/s\n", - "Min V is 17.7777777778 m/s\n" - ] - } - ], + "outputs": [], "source": [ - "Vminandavg(rhon, Vm1, rhom)" + "def Get_analy_hBC(T,e,h0,hBC,k):\n", + " hBC[0:] = h0*(1-e**(-T[0:]*k) )\n", + " print(hBC)\n", + " return hBC" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 172, "metadata": { "collapsed": false }, @@ -113,38 +135,92 @@ "name": "stdout", "output_type": "stream", "text": [ - "Avg V is 20.6361659024 m/s\n", - "Min V is 18.163766147 m/s\n" + "[ 9.5162582 18.12692469 25.91817793 32.9679954 39.34693403\n", + " 45.11883639 50.34146962 55.06710359 59.34303403 63.21205588\n", + " 66.71289163 69.88057881 72.7468207 75.34030361 77.68698399\n", + " 79.8103482 81.73164759 83.47011118 85.04313808 86.46647168\n", + " 87.75435717 88.91968416 89.97411563 90.92820467 91.79150014\n", + " 92.57264218 93.27944873 93.91899374 94.49767799 95.02129316\n", + " 95.49507976 95.9237796 96.31168326 96.662673 96.98026166\n", + " 97.26762776 97.52764735 97.76292281 97.97580886 98.16843611\n", + " 98.34273246 98.50044232 98.6431441 98.77226601 98.88910035\n", + " 98.99481643 99.09047229 99.1770253 99.25534169 99.3262053\n", + " 99.39032534 99.44834356 99.50084061 99.54834191 99.59132286\n", + " 99.63021363 99.66540345 99.69724453 99.72605552 99.75212478\n", + " 99.77571323 99.79705694 99.81636952 99.83384427 99.84965608\n", + " 99.8639632 99.87690881 99.88862249 99.89922146 99.9088118\n", + " 99.91748951 99.92534142 99.93244612 99.93887472 99.94469156\n", + " 99.94995486 99.95471728 99.9590265 99.96292565 99.96645374\n", + " 99.96964609 99.97253464 99.97514832 99.97751327 99.97965316\n", + " 99.98158942 99.98334142 99.98492669 99.98636111 99.98765902\n", + " 99.98883342 99.98989606 99.99085758 99.99172759 99.99251482\n", + " 99.99322713 99.99387165 99.99445484 99.99498253]\n" ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 172, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEhCAYAAAAwMdReAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "Vminandavg(rhon, Vm1, rhom)" + "pyplot.plot(T, Get_analy_hBC(T,e,h0,hBC,k) , color='#003366', ls='--', lw=3)\n", + "pyplot.xlabel(\"Time(s)\")\n", + "pyplot.ylabel(\"Analytical Boundary height\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot of numerical BCs" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 173, "metadata": { - "collapsed": false + "collapsed": true }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Avg V is 20.7303256984 m/s\n", - "Min V is 18.7766516147 m/s\n" - ] - } - ], + "outputs": [], + "source": [ + "def Get_num_hBC(T,nt,h0,hBC,k):\n", + " hBC[0]= k*(h0-hBC[0])\n", + " for n in range(1, nt): \n", + " hBC[1:]= hBC[0:-1]+k*(h0-hBC[0:-1])\n", + " print(hBC) \n", + " return hBC" + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "metadata": { + "collapsed": true + }, + "outputs": [], "source": [ - "Vminandavg(rhon, Vm1, rhom)" + "hBC = numpy.zeros(99)" ] }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 175, "metadata": { "collapsed": false }, @@ -153,18 +229,81 @@ "name": "stdout", "output_type": "stream", "text": [ - "Avg V is 33.8666666667 m/s\n", - "Min V is 30.2222222222 m/s\n" + "[ 10. 19. 27.1 34.39 40.951 46.8559\n", + " 52.17031 56.953279 61.2579511 65.13215599 68.61894039\n", + " 71.75704635 74.58134172 77.12320755 79.41088679 81.46979811\n", + " 83.3228183 84.99053647 86.49148282 87.84233454 89.05810109\n", + " 90.15229098 91.13706188 92.02335569 92.82102012 93.53891811\n", + " 94.1850263 94.76652367 95.2898713 95.76088417 96.18479576\n", + " 96.56631618 96.90968456 97.21871611 97.4968445 97.74716005\n", + " 97.97244404 98.17519964 98.35767967 98.52191171 98.66972054\n", + " 98.80274848 98.92247363 99.03022627 99.12720364 99.21448328\n", + " 99.29303495 99.36373146 99.42735831 99.48462248 99.53616023\n", + " 99.58254421 99.62428979 99.66186081 99.69567473 99.72610726\n", + " 99.75349653 99.77814688 99.80033219 99.82029897 99.83826907\n", + " 99.85444217 99.86899795 99.88209815 99.89388834 99.9044995\n", + " 99.91404955 99.9226446 99.93038014 99.93734213 99.94360791\n", + " 99.94924712 99.95432241 99.95889017 99.96300115 99.96670104\n", + " 99.97003093 99.97302784 99.97572506 99.97815255 99.98033729\n", + " 99.98230357 99.98407321 99.98566589 99.9870993 99.98838937\n", + " 99.98955043 99.99059539 99.99153585 99.99238227 99.99314404\n", + " 99.99382963 99.99444667 99.995002 99.9955018 99.99595162\n", + " 99.99635646 99.99672081 99.99704873]\n" ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 175, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEhCAYAAAAwMdReAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wAAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "Vminandavg(rhon, Vm2, rhom)" + "pyplot.plot(T, Get_num_hBC(T,nt,h0,hBC,k) , color='#003366', ls='--', lw=3)\n", + "pyplot.xlabel(\"Time(s)\")\n", + "pyplot.ylabel(\"Numerical Boundary height\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then suppose there is a 1D wave equation at Y=0 similar with Module 5 lesson 1" ] }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 187, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def Get_analy_wBC(T):\n", + " wBC = numpy.zeros(99)\n", + " print(T)\n", + " wBC[0:] = 100*numpy.sin(numpy.pi*T[0:]/10)\n", + " print(wBC)\n", + " return wBC" + ] + }, + { + "cell_type": "code", + "execution_count": 188, "metadata": { "collapsed": false }, @@ -173,24 +312,62 @@ "name": "stdout", "output_type": "stream", "text": [ - "Avg V is 33.8666667139 m/s\n", - "Min V is 30.6820137293 m/s\n", - "50 [ 20. 20. 20. 20. 20. 20. 20.\n", - " 20. 20. 20. 20.00000066 20.00001512\n", - " 20.0001722 20.00129076 20.00717207 20.03154717 20.1145637\n", - " 20.3535679 20.94604883 22.22157816 24.5985979 28.37004731\n", - " 33.3291947 38.58359842 42.97727891 45.79195913 46.95726209\n", - " 46.75738306 45.53355007 43.57587335 41.12075189 38.36794482\n", - " 35.49110654 32.64175131 29.94964796 27.52072175 25.43282749\n", - " 23.73058791 22.42182859 21.47869924 20.84531008 20.45076547\n", - " 20.22360097 20.10297213 20.04396187 20.0173812 20.00635805\n", - " 20.00214976 20.00067112 20.00019319 20.0000512 ]\n" + "[ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n", + " 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n", + " 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75\n", + " 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99]\n", + "[ 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", + " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", + " 3.09016994e+01 1.22464680e-14 -3.09016994e+01 -5.87785252e+01\n", + " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", + " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -2.44929360e-14\n", + " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", + " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", + " 3.09016994e+01 3.67394040e-14 -3.09016994e+01 -5.87785252e+01\n", + " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", + " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -4.89858720e-14\n", + " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", + " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", + " 3.09016994e+01 6.12323400e-14 -3.09016994e+01 -5.87785252e+01\n", + " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", + " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -7.34788079e-14\n", + " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", + " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", + " 3.09016994e+01 8.57252759e-14 -3.09016994e+01 -5.87785252e+01\n", + " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", + " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -9.79717439e-14\n", + " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", + " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", + " 3.09016994e+01 1.10218212e-13 -3.09016994e+01 -5.87785252e+01\n", + " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", + " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01]\n" ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 188, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAEhCAYAAAAagSXxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "Vminandavg(rhon, Vm2, rhom)\n", - "print(nt,rho)" + "pyplot.plot(T, Get_analy_wBC(T) , color='#003366', ls='--', lw=3)\n", + "pyplot.xlabel(\"Time(s)\")\n", + "pyplot.ylabel(\"Analytical Boundary wave\")" ] }, { From 730bcd05706e79acfb744f1d7b6287aff126d3a1 Mon Sep 17 00:00:00 2001 From: Baiwei Zhang Date: Tue, 13 Dec 2016 18:31:54 -0500 Subject: [PATCH 4/4] Project finished with Plots explanation and references --- Zhangb201092283/Project.ipynb | 467 +++++++++++++++++++++++++--------- 1 file changed, 342 insertions(+), 125 deletions(-) diff --git a/Zhangb201092283/Project.ipynb b/Zhangb201092283/Project.ipynb index 65f2fd9..5b542c7 100644 --- a/Zhangb201092283/Project.ipynb +++ b/Zhangb201092283/Project.ipynb @@ -2,39 +2,40 @@ "cells": [ { "cell_type": "code", - "execution_count": 164, + "execution_count": 208, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy \n", - "from matplotlib import pyplot \n", + "from matplotlib import pyplot \n", "%matplotlib inline\n", "from matplotlib import rcParams\n", "rcParams['font.family'] = 'serif'\n", "rcParams['font.size'] = 16\n", "import sympy\n", - "sympy.init_printing()" + "sympy.init_printing()\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "from matplotlib import cm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Firstly suppose there is a 1D convection due to a constant input of h0= 100 at X=0:" + "I am going to do a 1D convection in X direction and 1D wave in another direction inside a 100*100 pool and plot the 2D figure of the overall picture along with the errors. Firstly suppose there is a 1D convection flux due to a constant difference of infinite fluid resorvior with sea level h0= 100 at X=0 while the height inside the pool is 0 everywhere ay the beginning." ] }, { "cell_type": "code", - "execution_count": 166, + "execution_count": 337, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "(q, k, h0, \n", - " h) = sympy.symbols('q k ho h')" + "(q, k, h0, h) = sympy.symbols('q k ho h')" ] }, { @@ -75,6 +76,13 @@ "eq" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The equation is h(t+deltat)=h(t)+q(h0-h(t)) This is a 1D ODE which could be solved by separation of variables. q is the flux and k is the convection constant according to Flouyer's law - Let's set it as 0.1." + ] + }, { "cell_type": "code", "execution_count": 169, @@ -90,29 +98,29 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Plot of analytical BCs" + "Plot of analytical BCs: the anaytical solution is h=h0(1-e**(-kt))" ] }, { "cell_type": "code", - "execution_count": 180, + "execution_count": 338, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "nt = int(100)\n", + "nt = int(100) \n", "dt = 1.0\n", "e=numpy.e\n", - "T = numpy.arange(1,100, 1)\n", + "T = numpy.arange(1,100, 1) \n", "h0 = 100.0\n", - "k= 0.1\n", - "hBC = numpy.zeros(99)" + "k= 0.1 #convection constant \n", + "hBC = numpy.zeros(99) # initial height is zero inside the pool" ] }, { "cell_type": "code", - "execution_count": 171, + "execution_count": 241, "metadata": { "collapsed": true }, @@ -120,50 +128,23 @@ "source": [ "def Get_analy_hBC(T,e,h0,hBC,k):\n", " hBC[0:] = h0*(1-e**(-T[0:]*k) )\n", - " print(hBC)\n", " return hBC" ] }, { "cell_type": "code", - "execution_count": 172, + "execution_count": 347, "metadata": { "collapsed": false }, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 9.5162582 18.12692469 25.91817793 32.9679954 39.34693403\n", - " 45.11883639 50.34146962 55.06710359 59.34303403 63.21205588\n", - " 66.71289163 69.88057881 72.7468207 75.34030361 77.68698399\n", - " 79.8103482 81.73164759 83.47011118 85.04313808 86.46647168\n", - " 87.75435717 88.91968416 89.97411563 90.92820467 91.79150014\n", - " 92.57264218 93.27944873 93.91899374 94.49767799 95.02129316\n", - " 95.49507976 95.9237796 96.31168326 96.662673 96.98026166\n", - " 97.26762776 97.52764735 97.76292281 97.97580886 98.16843611\n", - " 98.34273246 98.50044232 98.6431441 98.77226601 98.88910035\n", - " 98.99481643 99.09047229 99.1770253 99.25534169 99.3262053\n", - " 99.39032534 99.44834356 99.50084061 99.54834191 99.59132286\n", - " 99.63021363 99.66540345 99.69724453 99.72605552 99.75212478\n", - " 99.77571323 99.79705694 99.81636952 99.83384427 99.84965608\n", - " 99.8639632 99.87690881 99.88862249 99.89922146 99.9088118\n", - " 99.91748951 99.92534142 99.93244612 99.93887472 99.94469156\n", - " 99.94995486 99.95471728 99.9590265 99.96292565 99.96645374\n", - " 99.96964609 99.97253464 99.97514832 99.97751327 99.97965316\n", - " 99.98158942 99.98334142 99.98492669 99.98636111 99.98765902\n", - " 99.98883342 99.98989606 99.99085758 99.99172759 99.99251482\n", - " 99.99322713 99.99387165 99.99445484 99.99498253]\n" - ] - }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 172, + "execution_count": 347, "metadata": {}, "output_type": "execute_result" }, @@ -171,7 +152,7 @@ "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEhCAYAAAAwMdReAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -188,12 +169,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Plot of numerical BCs" + "This is the amount of flow at X=0 at every second" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot of numerical BCs: convection from 100 to 0 and pass forward" ] }, { "cell_type": "code", - "execution_count": 173, + "execution_count": 236, "metadata": { "collapsed": true }, @@ -202,14 +190,13 @@ "def Get_num_hBC(T,nt,h0,hBC,k):\n", " hBC[0]= k*(h0-hBC[0])\n", " for n in range(1, nt): \n", - " hBC[1:]= hBC[0:-1]+k*(h0-hBC[0:-1])\n", - " print(hBC) \n", + " hBC[1:]= hBC[0:-1]+k*(h0-hBC[0:-1]) \n", " return hBC" ] }, { "cell_type": "code", - "execution_count": 174, + "execution_count": 340, "metadata": { "collapsed": true }, @@ -220,52 +207,26 @@ }, { "cell_type": "code", - "execution_count": 175, + "execution_count": 348, "metadata": { "collapsed": false }, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 10. 19. 27.1 34.39 40.951 46.8559\n", - " 52.17031 56.953279 61.2579511 65.13215599 68.61894039\n", - " 71.75704635 74.58134172 77.12320755 79.41088679 81.46979811\n", - " 83.3228183 84.99053647 86.49148282 87.84233454 89.05810109\n", - " 90.15229098 91.13706188 92.02335569 92.82102012 93.53891811\n", - " 94.1850263 94.76652367 95.2898713 95.76088417 96.18479576\n", - " 96.56631618 96.90968456 97.21871611 97.4968445 97.74716005\n", - " 97.97244404 98.17519964 98.35767967 98.52191171 98.66972054\n", - " 98.80274848 98.92247363 99.03022627 99.12720364 99.21448328\n", - " 99.29303495 99.36373146 99.42735831 99.48462248 99.53616023\n", - " 99.58254421 99.62428979 99.66186081 99.69567473 99.72610726\n", - " 99.75349653 99.77814688 99.80033219 99.82029897 99.83826907\n", - " 99.85444217 99.86899795 99.88209815 99.89388834 99.9044995\n", - " 99.91404955 99.9226446 99.93038014 99.93734213 99.94360791\n", - " 99.94924712 99.95432241 99.95889017 99.96300115 99.96670104\n", - " 99.97003093 99.97302784 99.97572506 99.97815255 99.98033729\n", - " 99.98230357 99.98407321 99.98566589 99.9870993 99.98838937\n", - " 99.98955043 99.99059539 99.99153585 99.99238227 99.99314404\n", - " 99.99382963 99.99444667 99.995002 99.9955018 99.99595162\n", - " 99.99635646 99.99672081 99.99704873]\n" - ] - }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 175, + "execution_count": 348, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEhCAYAAAAwMdReAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wAAAAAASUVORK5CYII=\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAEhCAYAAAAwMdReAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nizT1EETHAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -282,12 +243,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Then suppose there is a 1D wave equation at Y=0 similar with Module 5 lesson 1" + "This result is close to the analytical result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then suppose there is a 1D wave equation for 10*sin(0.1*pi*t) at Y=0 " ] }, { "cell_type": "code", - "execution_count": 187, + "execution_count": 243, "metadata": { "collapsed": true }, @@ -295,69 +263,90 @@ "source": [ "def Get_analy_wBC(T):\n", " wBC = numpy.zeros(99)\n", - " print(T)\n", - " wBC[0:] = 100*numpy.sin(numpy.pi*T[0:]/10)\n", - " print(wBC)\n", + " wBC[0:] = 10*numpy.sin(numpy.pi*T[0:]/10)\n", " return wBC" ] }, { "cell_type": "code", - "execution_count": 188, + "execution_count": 349, "metadata": { "collapsed": false }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\n", - " 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50\n", - " 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75\n", - " 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99]\n", - "[ 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", - " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", - " 3.09016994e+01 1.22464680e-14 -3.09016994e+01 -5.87785252e+01\n", - " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", - " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -2.44929360e-14\n", - " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", - " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", - " 3.09016994e+01 3.67394040e-14 -3.09016994e+01 -5.87785252e+01\n", - " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", - " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -4.89858720e-14\n", - " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", - " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", - " 3.09016994e+01 6.12323400e-14 -3.09016994e+01 -5.87785252e+01\n", - " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", - " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -7.34788079e-14\n", - " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", - " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", - " 3.09016994e+01 8.57252759e-14 -3.09016994e+01 -5.87785252e+01\n", - " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", - " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01 -9.79717439e-14\n", - " 3.09016994e+01 5.87785252e+01 8.09016994e+01 9.51056516e+01\n", - " 1.00000000e+02 9.51056516e+01 8.09016994e+01 5.87785252e+01\n", - " 3.09016994e+01 1.10218212e-13 -3.09016994e+01 -5.87785252e+01\n", - " -8.09016994e+01 -9.51056516e+01 -1.00000000e+02 -9.51056516e+01\n", - " -8.09016994e+01 -5.87785252e+01 -3.09016994e+01]\n" - ] + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 349, + "metadata": {}, + "output_type": "execute_result" }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEhCAYAAAAqDTTQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pyplot.plot(T, Get_analy_wBC(T) , color='#003366', ls='--', lw=3)\n", + "pyplot.xlabel(\"Time(s)\")\n", + "pyplot.ylabel(\"Analytical Boundary wave\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The analytical soultion could be expressed with: [ W(t+1)-2*W(t)+W(t-1) ]/dt**2 = -(pi/10)**2 *W(t) " + ] + }, + { + "cell_type": "code", + "execution_count": 344, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def Get_num_wBC(T,nt):\n", + " wBC = numpy.zeros(99)\n", + " wBC[0]= 10*numpy.sin(numpy.pi/10)\n", + " wBC[1]= 10*numpy.sin(numpy.pi*2.0/10)\n", + " for n in range(1, nt): \n", + " wBC[2:] = ( (2- dt**2 *(numpy.pi/10)**2 )*wBC[1:-1]-wBC[0:-2])\n", + " return wBC" + ] + }, + { + "cell_type": "code", + "execution_count": 350, + "metadata": { + "collapsed": false + }, + "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 188, + "execution_count": 350, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbIAAAEhCAYAAAAagSXxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEhCAYAAAAqDTTQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4QAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -365,11 +354,239 @@ } ], "source": [ - "pyplot.plot(T, Get_analy_wBC(T) , color='#003366', ls='--', lw=3)\n", + "pyplot.plot(T, Get_num_wBC(T,nt) , color='#003366', ls='--', lw=3)\n", "pyplot.xlabel(\"Time(s)\")\n", "pyplot.ylabel(\"Analytical Boundary wave\")" ] }, + { + "cell_type": "code", + "execution_count": 315, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def plot_3D(x, y, p):\n", + " '''Creates 3D plot with appropriate limits and viewing angle\n", + " \n", + " Parameters:\n", + " ----------\n", + " x: array of float\n", + " nodal coordinates in x\n", + " y: array of float\n", + " nodal coordinates in y\n", + " p: 2D array of float\n", + " calculated potential field\n", + " \n", + " '''\n", + " fig = pyplot.figure(figsize=(11,7), dpi=100)\n", + " ax = fig.gca(projection='3d')\n", + " X,Y = numpy.meshgrid(x,y)\n", + " surf = ax.plot_surface(X,Y,p[:], rstride=1, cstride=1, cmap=cm.viridis,\n", + " linewidth=0, antialiased=False)\n", + "\n", + " ax.set_xlim(0,100)\n", + " ax.set_ylim(0,100)\n", + " ax.set_xlabel('$x$')\n", + " ax.set_ylabel('$y$')\n", + " ax.set_zlabel('$z$')\n", + " ax.view_init(30,45)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plug the 1D flow into 2 directions 2D arrays seperately, then get the summation. " + ] + }, + { + "cell_type": "code", + "execution_count": 327, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def h_analytical(x, y,h_x,h_y):\n", + " X, Y = numpy.meshgrid(x,y)\n", + " h_an = numpy.zeros(10000).reshape(100,100)\n", + " h_1 = numpy.zeros(10000).reshape(100,100)\n", + " h_2 = numpy.zeros(10000).reshape(100,100)\n", + " for n in range(1, nt): \n", + " h_1[1:,n]= h_x[0:]\n", + " for n in range(1, nt): \n", + " h_2[n,1:]= h_y[0:]\n", + " h_an = h_1+h_2\n", + " return h_an" + ] + }, + { + "cell_type": "code", + "execution_count": 328, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def h_numerical(x, y,h_x,h_y):\n", + " X, Y = numpy.meshgrid(x,y)\n", + " h_nu = numpy.zeros(10000).reshape(100,100)\n", + " h_1 = numpy.zeros(10000).reshape(100,100)\n", + " h_2 = numpy.zeros(10000).reshape(100,100)\n", + " for n in range(1, nt): \n", + " h_1[1:,n]= h_x[0:]\n", + " for n in range(1, nt): \n", + " h_2[n,1:]= h_y[0:]\n", + " h_nu = h_1+h_2\n", + " return h_nu" + ] + }, + { + "cell_type": "code", + "execution_count": 329, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "nx = 100\n", + "ny = 100\n", + "\n", + "x = numpy.arange(1,nx, 1)\n", + "y = numpy.arange(1,ny, 1)\n", + "\n", + "h_anx=Get_analy_hBC(x,e,h0,hBC,k)\n", + "h_any=Get_analy_wBC(y)\n", + "\n", + "h_nux=Get_num_hBC(x,nt,h0,hBC,k)\n", + "h_nuy=Get_num_wBC(y,nt)\n", + "\n", + "h_an = h_analytical(x, y, h_anx, h_any)\n", + "h_nu = h_analytical(x, y, h_nux, h_nuy)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Take the BCs out of the figure" + ] + }, + { + "cell_type": "code", + "execution_count": 330, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "h_an_1 = h_an[1:,1:]" + ] + }, + { + "cell_type": "code", + "execution_count": 331, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "h_nu_1 = h_nu[1:,1:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot the figures for analytical solution and numerical solution" + ] + }, + { + "cell_type": "code", + "execution_count": 332, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnQAAAGUCAYAAAC8xb/QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+/8V2Qjo22ZaiQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_3D(x, y, h_an_1)" + ] + }, + { + "cell_type": "code", + "execution_count": 333, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnQAAAGUCAYAAAC8xb/QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXuQJFd1r/vLzMp6ds90V89IYkACGaOLsM8QBBAYRgKB\nhAY02EZIljHcK9CBUADGx2EUoINtZCtCcYCjCOAEGAwOwA8kyxgJS0IwzAxINkjYMi8dCTAy0kiM\nYWBmuqe7q+uZlXvfP6p21s6dO99Zj6zeX0RHd2dlvR/51Vp7raVRSqFQKBQKhUKhyC/6tG+AQqFQ\nKBQKhSIdSugUCoVCoVAoco4SOoVCoVAoFIqco4ROoVAoFAqFIucooVMoFAqFQqHIOYWQ01UJrEKh\nUCgUCsVsoPmdoCJ0CoVCoVAoFDlHCZ1CoVAoFApFzlFCp1AoFAqFQpFzlNApFAqFQqFQ5BwldAqF\nQqFQKBQ5RwmdQqFQKBQKRc5RQqdQKBQKhUKRc5TQKRQKhUKhUOQcJXQKhUKhUCgUOUcJnUKhUCgU\nCkXOUUKnUCgUCoVCkXOU0CkUCoVCoVDkHCV0CoVCoVAoFDlHCZ1CoVAoFApFzlFCp1AoFAqFQpFz\nlNApFAqFQqFQ5BwldAqFQqFQKBQ5RwmdQqFQKBQKRc5RQqdQKBQKhUKRc5TQKRQKhUKhUOQcJXQK\nhUKhUCgUOUcJnUKhUCgUCkXOKUz7BigUCsWkoZSCEIJ+vw/LsgAAxWIRhmFA1wffczVNm+ZNVCgU\nilholNKg0wNPVCgUirxACIFt2+h0OrBt29muaRpM03QJHKUUuq7DNE3ouq7kTqFQzAq+H0YqQqdQ\nKOYSSils23aicEziOp0OyuUyDMNw9tU0zYnMUUrR6/XQ7/dRrVYBALquQ9d1GIYBTdOU4CkUiplD\nCZ1CoZgLxDRqv993TmPCJpMxdj4x1crOQykFpRT9fh/9ft/ZztKzSu4UCsUsoIROoVDkFpZGtSwL\nlmWBLSHhBU4GpdSJ2tm27UqxmqYJfikKL3jsvOx8bLthGCp6p1AopopaQ6dQKHKDXxoVQKjAMQlj\nRRCGYaBQKMAwDEfimBiySFy5XIZpmo6syS6X/81uBx+9U4KnUCgyxPcDRQmdQqGYWfg0KvthKdAg\nYeLTpEzkmGj1+32USiUUCqMERaFQcFKuANBut9Hv96HrOvr9PgghTvSOFUr43V7+N4vesTV4Su4U\nCkVKVFGEQqHIB0zEWKTMtm1H3PjiBb/z8elQFn0rl8uOTLHLC4JdT61Wc87DblOr1XKlZwuFgict\ny6dnxbV8Kj2rUCjGgRI6hUIxVcLSqEHpTha9s20bhBBHlorFYqbCxC63VCo5t9eyLCeSVygUHMHj\nby9/G1jUjkUa+fun0rMKhSItSugUCsVE4dOhLApHCAGA0NQkK4JgEseEiDUFnoQQaZqGQqGAQqGA\nSqXiqqzd2toCpVSanpVF79i6PbZdpWcVCkVSlNApFIqxw7f9sCwLhBBQSp3UJr+eTTwfS6GyqBYr\nZiiVSr7p10mi6zqKxSKKxaITNbQsC71eL1V6VvW+UygUcVBCp1AoModPh/Z6Pc9kBr8IFDsfEzg+\njVoul2c+csWvkSuXy65IZKvVAiHEk57lzytG7/j0rBi9m+XHQaFQTB4ldAqFIhP4atQ4PeGYwDGJ\nYynNSaZRxwUbK2aaJgA40Tu2/o4/na+0jdr7TqVnFQoFQwmdQqFIBF/M0Ov1nHVwwChdGHQ+9sOi\nVmwt3CykUceFrusolUqe4opOp5OouIK/XJWeVSi2N0roFApFJMTRWp1OxxUhipJG5XvC8evgtqOA\niMUVrECi3++j2Wz69r7zK67o9/vOmr1SqaRGkykU2wwldAqFwpeg0Vr8+jaRqD3hFCM0TXOKKwB3\nepaJGh/BkxVXsGITlZ5VKLYfSugUCoVDWE84Ph2qaZprMsKkesJtF4LSs1tbW9L0LF85DPinZ1Xv\nO4Vi/lBCp1BsY8Q0qjjVIMp81Gn2hNsu+KVnxd53hBCPdPO/Ve87hWJ+UUKnUGwzgtKoUQfcs5mq\nrMfarPSE2y6I6Vk+etdut9Hr9dRoMoVim6GETqGYc+KkUcXzBfWE6/V6TtpPMV3Y88IXnPj1vuOl\nXY0mUyjmByV0CsWcwafV2MGZbYs6WotJXFAaVR3cZ5Mse9+p9KxCkR+U0CkUc4DfbFRA9YTbTrCi\nCB6/4oput+tbXAGo0WQKRd5QQqdQ5BB+ZqhfGnXcPeH4KldFPuCLKwD3FwG+9x2TvDijyVR6VqGY\nLkroFIqcIFajRk2jqp5wCj/ipGf9et8BKj2rUMwCSugUihmFT49ZluU0jWXVqGHFDKonnCIuSXrf\nAW7BU6PJFIrpoIROoZgR0vSE46tR+Z5w23m01nZEtoYuKVF738UZTdbv953XMi936vWpUKRHCZ1C\nMUWYwDGJi9sTjgkcMEijFgoFlUZVjAW/3ne9Xs8ZTRa1950aTaZQZI8SOoVigvAi1uv10O12XYvJ\nk/SEE3uLKRSTgO9JyBdXtFot2Lbtid6F9b5j7wUWVVbpWYUiHkroFIoxEpZGZSky2YD7OD3hpoWq\nclUAwcUVnU4HAEJ737FWO37pWfWlRaEIRgmdQpExcUZr8X/nrSfcPLUtUfcjW8TiCiZ4Yu87tkZP\njN6FpWdV9E6h8KKETqFISZrRWnw0Ik1POEU8xFYu4nisWRGjJMzaa4aXMFl6lj32hBDPe0WNJlMo\noqOFfHDl91NNoRgTfBpVNlor6MAiigQ7zyylUaPS6/VAKUWpVJr2TYkEi5x2u10AcOSZRUAJIej1\nek6LGF3XUalUXBWcs87m5qZzm/MCi961223ncZf1vhNhxy4+Aq6KKxTbAN8XtorQKRQREEdr2bbt\nSg/FGa3FqlGLxSIsy3LaQyiyhX/sWUSHSXOpVHI95uIasFar5RSuBFVwKtLD0rO9Xg+VSgWGYcTu\nfQd4R5Op9Kxiu6GOIgqFhLA0ql80jU+j8qO1VE+48eP32LNWLuyxb7Vaoc8Be85qtZo0RSjrvzYL\n5DlVDCTvfcfOq9Kziu2MEjqFAu7RRbI06rh6ws1TYcE08HvssxxrFlTBOYvRu2lff1JkTZGz7H2n\nRpMp5h0ldIptC1+QkGS01nbvCce3mpgU/GPPfib92IsVnLIF/nyKUJEdaXrf8b/F9KwaTaaYB5TQ\nKbYNfPsElkZlAhd1tNYs94SbV2RROCZN056KEWW4fbFYnJno3SwTd2yZ7LFnghfU+46d1280GQBP\n9E49b4o8oIROMdekHa3FRIJSOpaecNOIcs06QRHQYrE40wdYv+H27XYb/X7fFUFS0btsYdXixWJR\n2vuORXGjpGfZ649tV+lZRR5QQqeYK8TRWknSqEEL6hXjQSxmAOBUAuc1Aiou8JdF76K054hD3CjX\nvBK1951MrnnB44srGCo9q5hVlNApck3YaK2oadRZS+XNO/zzJmvnMkuVo1nhF70T23Ow+7/dXn/j\nlNEoqXGZXPsVV/iNJuP3VSgmjRI6Re7gR2u1223XOpeoadRZkYjtVOWq1iGOCGrP0Wg0ACDz6J1i\nRFS5jtL7Tux1yCL621HKFdNFCZ1i5gnqCdfv91EqlaTrkVRPuPESJqOyKNwsz6adJnx7Dn79V5hg\nzBPTShdn1fuOf40zVO87xSRRQqeYOeKkUUWpSNMTTpEevphBCXQyZOu/ogqGWkOXnqS979h52fMh\n630nCp5CkSVK6BQzAZ9GjVuNymZw5q0ich7wG3JfKBQcicsjs5QGDxKMZrPpit7N0u2Oy6zKqKy4\not/veyqX2RcYRlB6lm1Xo8kUWaKETjEVwkZrBYmA2NLCsqzcVkTmcQ0d3wqGyTQvcHl6/POIX/Vm\ns9kEADSbTaf3XV6FelbhiydY5TJ7/Hu9nvN+ZpKtRpMpJokSOsVEyGK0ljhkna1VYR+eivHg9/iz\ndYvVanWaN29bI1Zvrq2toVAoREoPzhJ8RD5PiL3v2GcZi57G6X2nRpMp0qKETjE2+OgBS8uxD6a4\nPeH4qAT/Acf6zCmyI+qQexahm1fyehBla0Vlvdf81t4psoGtF03T+w5Qo8kUyVBCp8gM2WgtBv9h\nJGO79oSblZRr0iH3s3DbFXKCeq/NWvRuVtfPxUG8D0l737HzBo0mU+lZhQwldIpUiNWoLGITJ42a\npifcrAhR3shivJY6iEyfx078CgDAwOA9YGoU7VMAe/cYw6fIxOi5MjQNBgAQoN8H+m1Ah/y5XFh5\nbEy3fP4I+xzKsvedSs8qZCihU8SC/yCyLMszWovvwSSeT/WEmy7zOF5rO/F/f/n/oIjB82Zqgy9O\n9lDEmNCx/+3hNkIHcmeDOnJnUQoDGkxNc4mcwf3NtndXn+V7e0or/5nJ/QLmI0IHRP+Sk7b3Hf9b\npWcVDCV0ikD4nnC9Xs+VRo06mSFuGi/Jbcwr44wwhkXh1Bqq2eb+43tR1iyYGoFFdZga0IOBImxY\nVIeuDV43RQyj4tzbiQmeGKkbnDaUPkphD/czNA0E7tdhCaM1XobkvdpfOw/68BoIRmspC/VHE9zb\n/JNGSv1a00RJj4elZ8XonRK8+UUJncID35YiSU84cT7nOHvCqQ8nN+JaRJaOUVG4/HD/8b2u/wcy\nNxAmFqGLI3M8hiS1KpM1HRqs4WUb0ECELx2mpjsyN9h/9DdZe7b38ur/Ibk1I/L8pYyRZZSRryLn\nsyJi7zs2eSXKaDK2XaVn5xcldApXJK3X67kqF+P0hOPTqEogJsN2HHI/rxz82YtQ1noADJiajbI2\nWCMlylyHFlDVLFhUR1FzVxl3qI6aZqNDdVSHp7HoXIdqqA3/HkXugt+fMgEEAIsSAMSVsjU19/g9\n17q8tfNdp3Vp35OyVZ8VcsT0LL9uudPpRB5Nxve+Y6j07HyhhG4bEme0luy8fj3hpjEZYF6KIuJ8\nu/cbcq/WIuaTfzp2Acq6NZQ5wNRsWNRAWbNg0QJMrYcOKaAz/LguajZaxISp2WjSwiAiR0dRuyY1\nYICiRXXnNGAQxWvSUQQPAHRKUdN1NAlBbfje1Z11efFeRxa1PdtKmvwQU9IKLskrAIDxr7Gub9aY\n1DpAsfcdq54N6z3oV1zBsjFqNFn+UUK3TRBHaxFC0O12UalUIqVRo/SEU8QnymMnqwiehSH38yLT\n0+Kfjl0AAB6ZYzRIGWWtjxYpQh+mP4ua7drPgPfxl21jKVmXzA1/N4cR+SYhrrV2ALCoFdCiNqpC\n9G1w/pDonqahD6/kFVxr80av3Tp5CXB6tJ+9/IPAy581plHYIZv7m6b3nWVZWF9fx+LiokrP5hAl\ndHNK2GgtwzCczuYieeoJN69SoYbcTw4W4WDrPMfNLU9ejJreBTCQOZtqgAb0aAE9WkBRG0S+y8Pf\noszJYNE5HmctneQuSdfXSfZr0D4MaGhx0beqZkSSOT94yetTGyVNPuXFOP1rrv9nWfBm5TMobe87\nwC2mYnpW9b6bbZTQzQl8GpVJHNsu+4bFPoDY7yx6wimSE5TKnjWJzjti9TV7vfOD7sc1AeOWJy92\n/rY5rWqSkis6F0STFgExdcoKGNi6ueFpS0NxBIAGKWBJt2LdXlnatSNJrVa51GoXNqoxDi1iqlZc\ni+fclhwI3qy9T+P2vgPc6+5U77t8oYQux/DhdZZGZW/GsDQqE7lOp+Ma7ZS3CFBeI3T8+hUAztoX\ncbyWIhv4HnzswMS/3lm0gr2Xer2ec15ZNCMu/+ex12LB6KCsATW968icTQeXyWSORec6tIgO5VOt\nfbQopNInyhzP5lD+AMAAwToxPSnZnXofDWpgSbjsOGvoWnQUyTE0zfm/6rOGbnTbvV8W8yh4eeij\nF9T7rtlsOl9sWHAgTu87PvWronfTQwldjoiSRg2SOLGpLABn7YV6A44fvygcAFQqFdf6FkU6/Hrw\nFQoF2LaNcrnsebz5XmCapjkHNRbN4FNVcZ6rkcwNohtNUkKZi5Q1SQnAIP3aoWZgapUhWycXdJoB\n/4jjBilA1yjWifs+GaBY0inWiYYl3b8Vius8wucIL3pVrYAW7TuSJ5M5GWGCxy5HP/3fAIx64s1i\nBG+WEHvfEULQbrdh2zY2NjZi9b4DoEaTzQBK6GYYPszN3ixsW5TRWmE94Vqt1tRnOKZlliN0UQtK\nms1mrp+DWUHWyFo2CYPvregHi3JXKhVXq4her+dai1QsFgPfQ0zmCNXQokVU9Z4jcx1iogMTptaX\nnpePzgHxo3NB6+qi7rdONNdvAxQ7fTwsrAUKkzte8ha0YuB5ZIiCV9LcN4gXPL7h8TgFLw8RujBY\nhoBSilqt5ul9p0aTzT5K6GYMvoxcNlory55wsyxDeSXJdIy8Pg/Tvt2TnIQhtorgD3a2bUvXIv2f\nx14LACDDtGpVH6Rx1+0q12NuWAAxlLwo0bl1u4oVoyk/jVSxortPC4rOxYFJ3obk4vwkL4wWda/p\nq/oUSATRFS6DL7JwNT8eRvAY1vLDsa/Lj3kQOmB0P4J636nRZLOLEropw/cRkqVRx9kTbtoH5CyZ\n1gdqFkPuFdGJGoVLyhMnzgUwGHIPAKeb3vFZ7pmnw9tFNPR6wGjlHQCMJj5YtIANu4BSxKKEdbs6\nvB2sTQm3Rg0Eq3YNhsbSoCPDMjSCVVJzSZzujPciWNFbruuJGsULSvECQIMC4D5LlmSltREQBQ+I\nJ3k6NFjUHfE0fdbxmZzgdakVOs0iiHn/HOW/0ACj0WRhve8ANZpskiihmwJiU9+4aVSZPGzXhfTT\nkjg15H4y8AcAMW2dVJg1TcNPGs/zDLpn0mJq7vVisjmo/FcllmoUB91fu/SI723QoeGzm+ehbmyh\nRUpoCVWushTq4HL9o23StKsgYqukKlze6PS64Za9NKwTr+As6RoahGBRaGAcBi95QXLnd3m84PnJ\nXUkzAU7wkkTv5uF9H/WLcZa979gxjW1X6dnkaCHfLObja8eUkY3W4tOoQS9acSoAC4XzFUVJ6XQ6\nTjowzzSbTadB8jgIWmDPPnzS0G63nW+2eYJSimaziYWFhcwv1y/ynOY1//3V56GsDy6PUM0lUH5S\nJ2vEG0XwTIjrujTX6UF8Yeupw9sgj84NLkMeneP3GZxOXafxSNfTSYRxENnr+N7eOME4/jp36oMD\n/Qaxnb/jwgQvqhyK+AmeSJjg9Xo9dLtdLC4uJrods0Kz2XRELSl8xsmyLFfvu0Kh4Pt5KbbSAlR6\n1gffB0EJ3RgIG60V9MIMmgqQhTzwdLtdp9Ipz4xD6PzGa2Uh0iJK6OTrP3lhTvp4//vqC2DChgUD\nJlhrEPe0haxlTkSUjbJPG47R/t7X8ZdadZeoiULHCxvbj4/OpRU6EV7wogpdWNo2qdQxFrQitmgv\nUaEFEF3uZOnZbrcLy7Iy/3IzaVg1d6lUyuTy+PWm7FjoV1whOy//WxxNxrZtQ5TQjRtxtBb/IgwT\nOLESMquDWRhK6EYEDbnPWqRFtqPQ+UXh2GOe9jX/jVMvhgEykraYMsdvy1LmxPMzTE0PbOMhu5zb\nts4CANSNLUe61u0aVozG8DzZROeCYJdTN7qB+/ldZxA7dSNV9I6JXZtaqCQotogTvZsXoWs0GiiV\nSmM7Jsh6p/oVV8jOy/vKNk7PKqHLGlkalRH24pKtwcoipRSXXq8HSmlm38amRavVQqlUit3Hza8q\nmKUFJvU85DX1zYSuVqtFeqzGFYXj+frJCwEAZa0XKnMWNVDVLXTo6MDNolui6LG/qzpFh2qoDW/q\nSPaSy5zfvmaEEVs8n986w4ncydba6RrBirE1PD1boRMRBS+uzMlImqJlj3cSqePJKj07y2xubqJS\nqUzss0hMz7LPhLBm3ts8PauELi1B1ahRo3CynnAsGjGNF992E7pJprPjkFehAwYpGj+hk73ux/V4\nf/mXr3Baf/AyZ1EDVa0HazgQXpQ7YFTpKcrcYJs7/SpLL4qp2VrAov+oMudHKaJUAMA/NVfc1yNZ\nY+fcLo2irm8J25LJnAxdo1jRw6N4UYkqdH7TLtLKHRBN8CzaB+o/Sn1dk2JjYwO1Wm0q2YKs07Pi\n9Io5QgldEmRp1F6v5xx8oxQzTDv6EwQT0zQLYGeBoJRlHp6HeRI6v7WH43q8//H4q1HTuy6ZAwaD\n7gFvU15R6ESZG+zrjs65hC1A6Pz0lE/VLgoSEHcxvxgJLMArNoYmvyUWtT1r8Ubn8X7U7zY2g29L\nxMODrDUKAEfwVkkptezJBC/O6DIVvRuwvr6OxcXFmZhaw48mY8ffOOnZZrMJXded/p9zNJpMCV1c\nKKV49atfjdtuuw3AKI3a6XScnjzi/uNcEzQO2FqGSqUy7ZuSCl7o8vg85F3oyuWyE4mb5NpDJnPA\noDFvjw4OQqxpb5jMbZIylow2AG90rkGKzmD7ONE5z+nS87g3LggjsfwIq44F3E11w7iruTi83OCP\neT4Vy1K2q/YCzhiu1QvDT+hEkkqd7HFf1I1YQieyXQXv9OnT2Llz59SyFUGI0bug3nfAqMCDHauZ\n67CWRznG94Wdr1XYE0TTNDQaDU9UQdY/R/WEmx7sTcqnwvM25D5vDZ75NaDAoLhmkn34/uZnv42q\n3gMZfq71qIGebbjmozKZa5ISloT+autk8AVGB8W6XXGlFpn0GRrBOikJ0Tm+ca67hXBUmZOxRfvQ\nAc9Ae17yosgcMJqawAos/AbbA8Bv1dxCdk8rfEH/qj3a54Q9EMIgsYsqc8AgUseTJmrXIO6JG0t6\nvENdm+t9V9HM2IUVUXrfAe7mxrMgd7P8ORSn952u666pF8Doc3aW72NalNAFoOu6I2rAIJ3Efnq9\nXuhorVknbyLBEKcFsKbMxWLRd7yWIjlBffj6/T6q1erEHnMmcwwnKuekXEcH4nW7BlPrY92uOlE6\nJnpiw13ALXMiopisk6K7jYirv5p8NutgP9kaOjf8rFP292KsaQmjSwwbbM9zoOpeQ3dPa0FaKCHC\nxI5/3MTxY0ngBY+XOz5FGzWOtE5Gj2lSuWO/40bvkkyuACYvePz6s1mH720HuIsr2KxlSqlruQcA\n51gxryihC2DHjh340pe+hAceeACXXnopXvSiFzkRn3E2slW4CRpyb5qmqzpKkQ1RR2x1u9ktdA/j\nE8euQnX4liMSMWLD7ouajRZKvkPveZiEMJlznRZxxYm43wYpDASQ27yk22gQHUt6si9QDWJ5onSy\nFG1Q6xMguuDp0PGbVXdk856W/1pbUYJXSc35e7exJe4eGzF6lwZe7oB00TtG0ugdEE3wJllckQeh\nE9F1HaVSCaVSyTlebG5uwrIsdDodJ3rHjhvzijoCclBK8cgjj+DQoUP46le/in/+53/GyZMncfHF\nF+MZz3gGarWak8efB5mb5QhdnCH3fOPmPDILz0PSEVvsto/7IDCQuYE8tkgRZd1Ch5goGRa61ETX\nNlHS5HNSo0TnGFGic0D8gffrxIABinUyepyWdBo5wiSDj+RVtUKozMmQCZ7f5RyojpoJd6mFI+1o\nUxFO2u5UblaCxz8H9YgzcmWI0bt10k8seUnW3kVJz5paIfVosjCmNQ87a1gBBAAsLi5C0zQnPdtu\nt/O+fi6QmRS648eP45prrsGhQ4dc/d3GSbPZxHnnnYdSqYT9+/fjHe94B8455xxcffXVeN7znjeR\n2zBpZkEkGGmG3M/S/cgTfgUkMmmeJp84dpXrf36tXJcODqAlpxDCPS6rQSqo+wjEOqlixdga7CO0\n7Fgn1UhpQ2k/t4gD79eJ5tm+k3OpDTL6P2wNXUuI+iSdljAQvMFjGFRgUdJMl+AdbEe/vpP2gkeI\n086RXSPu25pU8Jjcsd9M7KJKnhi9m0R6Nqvo3bwIHYNfQ8fSs/wSqnlk5oTujjvuwHXXXRfYFuSx\nxx7Dxz/+cXz1q1+FYRjo9/t44QtfiBtvvBFPf/rTXfv2+33ceOON+MIXvgDTNLFjxw588IMfxL59\n+1z71Wo1fOtb38I555zjbPv2t7+N9fV1137zKA/TeiOrIfeTh+8Ll3UBybH1ZwNIP+R+sH3091uW\nBvtbIPibjV9HxzZda+VkrA2jQqZmY81ecKJ0rjmnGsGqvYCiZmONuNeLGRrBKqnJG/QO79+KkW6d\nmEzyNjL6/rpFxaINLXCwvYyuICdBgveqivv64ggeAKzZVefvKHIXFiHNWvDY32nTs2kEb9zRu3kS\nuqBj9LzcRxkzJ3Q333wzjhw5gptuugmPPfaYdJ/f//3fR6vVwje/+U0sLS1hc3MTr3nNa/DCF74Q\njzzyCM444wxn33e+852477778MADD6Ber+PTn/40Lr30UnzrW9/C3r17XZfLyxwALC8v4/Tp065t\n8yR0k35hB43XKhaLidPYmqZNLJI7DsZ5+8cVhfuP4QGkCBvoDdp9yMZn2dBgYyAvBtxFAbIpC64h\n9uJ4LOh4684fSnu33dncg8awerUYYe2cHtA0N6yhLoNVy7rOC+oREpm4RV2ft0GG7VK4z5wlXcM6\noViKOkR1SIuTi7hyB7gFL6w9Ci94otyFyhgnd0D66B3gFrws07NxSVM9O+7iinkTujnoNxebmRO6\n+++/P/TArus6brzxRiwtLQEYFC/8+Z//OS655BLccsst+KM/+iMAwKOPPoq/+qu/wmc+8xnU63UA\nwFve8hZ8+MMfxp/8yZ/g7rvvDryeeRc6YPxroPwazaoo3PjwG7GVNgr3/dXB0oOy3gehg8uwNRZp\n02APRcum8iH3NgVsZ74ohqKngdBRJM/mRMeCe5C97ygtTcPrFo5z+w0+P7q0jzubZ0ujcwynwbCs\n2W5AdC4IUUjcfdzaoecPY51Q128mdn6SJ3vcWkLkKGn0jl12UGsOMXp3uB3vsCNG79bsaqp1eOOI\n3gHpqmd5qYsqeVm3RplHoZMxL/dRxswJXZQozd133+3Jg+/ZswcAXAJ2xx13AAAuuugi176veMUr\n8MlPfhKtVgvVqvvDl2d5eRnHjh2TnjZPL/4sGVcUTuGP34gtJnFpXqffOPViLr1pwITtyJyp+VeG\nijLn2kcH46XEAAAgAElEQVRyc+R93AZpVu++GszhOWRrywgIdOgoaQVcxYkeANzV3JVJdC7pwPtV\n2x3VOyMk+hQlCMfEjv3NS13USRRi9K5FrVDJ4y87qlwAwCsro30t2sd9neiTapjcsUKLLAosxOjd\nGjETSV4awZNVzsYhi+jdPB3TCCFzc1/iMHNCFwXZosYf//jH0DQNL3/5y51tDz/8MHRd96RSzz33\nXPT7ffzwhz/EC17wAt/rqdfr0jV080QWEUe/8VqlUmkijX3zHjVNcvv9Ip9ZPebfOPVizzZZaw/A\nOyqLyVyLGFjUWWXpgLB1dM5pPrefSQQTPYuOLsfU9NBKz9+qnfJIzi2NPc7fZ5mD9/tqfwFnFNyj\nr6JE5+KyStwys6J3fPaMDi949aHcxRloz+SO/WZix0tekChGlQt2Gi94caN3YgUtkE7ymNyx39Oq\nnp1GcQVoH/3St2Ndz6wS1G9u3o7hPLkUOhmf+tSncOmll7qE7tSpU9Kmpzt27AAArK6uBl7m8vKy\nR+iAybVqmFX8htwXCgVHKBTZMqnI5+ETLx3+ZaKsW050ThybxaJzHVqAqfXQoaOPEoOOBK/BerI5\np1Es6gQtomEx5k0OG3ZvUQIMRW+UCnRLjOwy3rj4c9f/t22dBR0EJ/o7XGOx+BTsbkH2okTnPLdd\nEuXjBW+wHi95nz8DFBvcxIQ4UscjpmfjEkfweLkD4gse4I3enbQXEkte1mvvxOrZqIhr7+IStbhi\nqfcbwDBDPguTK5KyXY/PcyF0f/3Xf40f/ehH+Nd//ddML7der2NjY8OzPe8RIZ6o98VvXdakonBB\nzNPzwcNXAY8jCsdz689fg0Wjg/LwInmZs6gBU7NhwYBFB/3UOtTkWoMUuSidO1rHw7a1hr3YGmSU\nUhT3XxTuW5wh9u5UoDuqWIowY/ONiydc/39+a8Wznu5kf4c0dWuApK5+5Vmz3Q110wgeAJfgAfKh\n9kGIcpekPUpSwUsTvUsjdYys1t4B2UyuYOSpNcqkkAndPB4jRHIvdIcOHcKNN96II0eOuKpbAWDX\nrl1otVqeJ3dzc/DtemVlJfCyZSlXYL4Ewu+++FVHZrEuS+GFNfb1G7E1zvWH/3j81Vg0LJS1wVdz\n1ueNVY2WtR5atChdMwfAI3M8esBauqD1YQ1CfOejVodRN/kYreDXZVc4mBmahgLcUmNTAkMbXftV\nC+5I/u1by4HXsWrXXP/vlsw6DVur51cFGyR4a3bJ+T96FW06wRPbo6QVvHFG77JucDyOyllG0vV3\neW5snCV+Ebp5r3zNtdAdOXIE73jHO3Do0CE885nP9Jy+d+9e3HbbbTh27JhrHd3Ro0dRKBTwnOc8\nJ/Dyy+XyREcbTRPZpIC8DLnPs2AziSOEoNUaLJCfZC++fzz+alejXhs6mqTkpFaZ5I0qRdk6ucFB\noElKWBIqN9k+m6SEJaMjPS1sW9Cw+5YQdVt0htnbWIgQgRtd3uAC+xCjeMEHxSsW3JXvX2zuHFye\nrFJWo1gjsnVem55tSRAFLy284CVJz6YVvElF7wC34GUdvQOykbw8NDYGZk/wVMo1Z3zta1/D2972\nNnzlK1/Bs571LADAd7/7XXzpS1/CDTfcAAC4/PLL8cd//Me47777cPXVVzvnvffee7F///7ACldg\nZPPiiyPPAsHDJM6yLPR6gw/iWZwUME/I5tJOYz4wG3JPnFYjGpq05JI7JnMDaXNXY66TwXvHhI11\nu+KKODFB00GwbpeFoe0DwdukRSxp7oN/EgxoLsHbGh6QwsQuaPJCnIa6AHB5zb0s465m+Eisk/Zg\nHa+7pclAKqJG12SIgrfbSF5kIUbvgHQRvAWtiC3aiyV5k4reiVHVLNLmWRdWzGpjYyB6a5RJwdZ1\ni8z7MW1mhS5ImL7+9a/jt3/7t/Gud70LDz74IB588EEAwI9+9CP8/OejBc7nnXcerr32Wrz//e/H\ngQMHsLKygs9+9rN4/PHHceutt4beBj9xy6vQyWSCSeusR+GCmPXnw2/QPRNnQgi63e7EZY5hD9uQ\nMJkrSlKr63bVKRBg0bmggfbyvm4U68Mh67pGsU6KnqjWkm6hQQrYqYup0Wj3jcHEjn9E2TD7sDFa\nInEa6gLAb9VGKdZ7Wt7oHMPb0mS07xlGAyfsRZwhSddGRdeoZ6j9ip7NGrw00Tv2e5ajd7zgrRhN\nrNq1xJI3rrV3wGSLK/IUvQuqcp1ntJAD4cSPku95z3tw+PBhHDt2DKdPn8Zzn/tcAMCDDz7oGPfz\nn/98fP/735ee/81vfjM+/elPO//bto0bb7wRn//851EsFrG4uIibb74ZL3nJSyLdngsvvNDT967X\n64FSilIp23THOPCTCTYn1bKs3NwXPyilaDabWFjwP3hOGnHEFnu8C4WCZx0HIQTtdhu1Wi3gErOB\nDbm3oaM2PLizOahl3UJrKACmkHIF4Ct0huYthGCyIo3c+VSOivvx1A1WJWhgSWfp32AxC/o4X9RN\nNIiFRT3+mqPBZQ8uXayi9duPcXeryp0WfTpIErGTzZQVSSt4PEkkj5F09iwjrPcdjyh4cdvRZFn0\nAqQTPJ4kkysYSdbe8UR9/Ccld5ubm6hUKjDN0f1ia5KLxXSvtRnA94Nv5oRu1rjsssvwiU98wpk0\nAQCWZcG2bZTL0RtiToqgIfeFQsHzrWWW70tUmNDVarWpRRiDikjC1sJNSuh4mQOAmt5Fh5jYabSc\nIfem0JaECV1QdE4UOnEmKn8awBdKRGzO6zPsfkn3/3iK893c0DQneheFoF53cQTPon0casf7EuJO\nX/uLRRSZE8lK7tKIHTB5uUvTX3Accpe0sTFPGrkD8i94GxsbqNVqrrQrS8PykpdTfA8mM5tynRWW\nlpawvr7uErpZY7sPuZ/W/RvXiK1x8IljV8GGhgYpo6r3nOgcAGzYVZR1y1fmglgnVawYW1i3q56D\nGzuNJ4lo+F+39/ENkrwgWtRbaSiTvLDGxXybFG8PPPd5Ta2AA9XRGrd7WsFfqsTK2FXCpQX1JlZJ\nLVDywsgqPTvtytk0fe++1o53W7Nee5dVY+MsU7NA/lqjqKIIhRRZc+Fpr9nKssnstO9LVkyi2bPY\nUJlSmkkrF3bbn1g/HwBQHEau2MSFqFMW/IbcA8C1S4MxWrduDq5j3a46febKIQeN9eFBi0Xn+Ga7\nptbHqr0AAwSrds11mg4yOM2VduWa8wqyFyc653tbieY6fWfIWyFoPR0veVWtgBbtx1zQL1bPBt8Y\nXu6AcMHjYXLHfmcxEosXvBW9i1VSSiR5WQpe2sIKIFjwLq6MbmtcuQO8a+/SMo7WKEmid3lrjRLU\ntmSeUUIXwqwI3biG3M+L0I2LcY01++HaXgBAeShJukY9Igd4ZY5fNzY6TS5y4hozEzretOPH0l5t\nn954NuqFLTTs8vA22Ghg9LcMJngyogy7P2kvuNJd7nRi8IzTqGwINyNM8Pxgcpd0QT8Qv3qWF7yD\n7XjXl/VILCZ37Hea9Gya1ihpCyuA6JWbvNwB6aN3QDrJy6o1yjiid21qRRa9KIJt0T6wNvjyGTdq\nx7o3KKFTeJiW0PkNXGcStx0reCZB0KD7tGPNvr/6PACDKtKy1keHFmAzuaJAZ9jg1hamLejaYGap\nCQp7uM3Q4Kxisyhbk6YBoE7jXRG/pruGpuHapR8L++r4281zuDSsNzrnnN8pgJCclnDY/SqpuiJt\n9WHblHW7jBWh7537tgS/L0XBqydc7pU2agSMBC9K5eyrKu40ZFzBA7wjsdbsqvO4xkWM3iUlTfTO\ngJZp5AgYb/QOGEleVmvvxNRskvV3WUXv4kgdj0X7MLUCThPva3FBK2Jr9ZlYWHks8uUxmZt3eZOh\nhC6Eer2O06fdjUTHJXTTGHI/LxG6NPdjnCO2vnHqxShrFkwMRmexYoLBDFRv5EscdC+bpiBr4cFH\n4zqUVZ96dywJUxGCUo5X7/ipZ9sXm2cMb2e66Nxgv+jP15pddS571R5MsAgSu+iXS12P8VLQ+Aof\n/KJG/DD7IMTIHRAuebzgJY3eGSCppI6RZWuUqNE7WYWzGDkCkq/9ClvUn3X0Lqu1d+zvrNbeAcmn\nVgDRH/8n+qMqbv55d95bMaQuaOnNvEueEroQlpeX8dOfeg9sQPqFl7Mw5H5ehC4Okxix9Y1TL3b9\nz8ucyGj6gr/MmVxkznv+4DSs+3a4xcqiQJmL6IUt+r+idtL1/981noq6sYV1u4aVgrAmLmF0Dog2\n7J6JHc8ZKeVknbivN43gxZk/KxKn912S6B0v2EyWAaSWO2A80buklbNMMJhYRI0ixYncAdmuvQOy\nFTxgOlMrAO/aO9nj/zPb/cXML2r7s5PPwFN3PxF6ndu1IAJQQheKbJ5rmheL2J9slobc55kwMZ1U\nJfDhEy8d/mW6BtwzmSsKlaRMXAYRux461EBNiH51qO67jq1DNdSGNz1MQ2WCYUCDRXlRGvwdZYg9\nAPx/iz8b/jWYlnDb1lnc9XlF7YzC5vC08XyJOGFXHUFkUymCCPO1pILHHmtxmH2UiJ1I3LV3aaJ3\nvNwB6QVPjN4BySRPPMjXU6z7SpIaTJqaBbIprkjT2BjwFlekTc2mmVrhkuz6j7Bn+Nl8Yv1Z0vPJ\nJpYEoSJ0Cl+Wl5c9KVcgelVlXobcz9u3mqB+fONag3j3Ly9BefgQ8jLXoSZMzUaHmuhQE8Xh33za\n0gBFgxRhajaatDAQvaFL6BpFgxrONndPN6A5/HeRFU4Mn8cGIVgc3s+40aKuM2lhcD5TMyJdxusX\nfjG8DYPr/fvGrtF91ChW7cXh/fXK3u6h7K3aC55GunGa8DJWibtKNIrghcELXpLoHS94SeQOSB69\ns2gfX+tUpY+9H1kLHpBNYcUa6TtfYJb0QmzBmETVJiOr6F1aqWPwrVGmPbWigsGx1DRNJ/pm2zYs\ny8Jq49me80SJ0s3bsSwOSuhCqNfr2NjY8Gz3iwjlbcj9LN2WNGia5kQ/xakY4+7Hxwbcs75tsjYg\nDVqOkHL1nj5qwitr6SFex3A/7nXZIAQ6gEVJyip80sLodLEFBxAcxbOHUb/fWzzl2v75rRX5ejqN\nuEZfnbAXYYDEPoAFpXlFwQPSzTr1i95FlWcxegfEl7w4cmdqBZfgJRmJlWV6Nqu1d0wsxNRgVCbV\ncw2Y7bV3QLatUcIku7LyE+l29sX7qeUnnGMpH73b2tqCaZowTVP6xZwQ4tm+XZYVqUkRIbTbbVx2\n2WW46667XNtbrRaKxSIKhYJ0vFbUKQGzQLPZnOhg+Kzg5ZmNMAsasTUOmMwBg0a8Fh18gLFt4mSF\nolg1yr3FxDSse0SWV+ykBRPStWeS/TRgMeDAEzei5yd3Rkjvtdu3lgfXJ11HJ5ez3QFjsKKu23Nf\nz+AxqxvZjcGq6zrWCEE94XuKiV3UwgoZUapnGUnkTiSL6B0jTO6iPqppJyYA6aYmxJlakbRylpFF\napYnq6kVgPd58JO5MAghsCzL+dF13ZE79pnfbrdBKUW1OvrywTwnzxORONTor6QQQnDhhRfi4MGD\nzjZKKdrtNnRdByHEM14rbyXTrVYLpVLJNa92VvFLYbNhzJOaScsPuC/rFiw6eOz4Zr2yMVl+QrdJ\nylgxmmiQMpb0wSJhJnQNUsTS8AAXWP0aUeYAeXEFL3hxhE5WgFGAESpzIl9s7hxdZkhakG+RUte3\nuO3JhU4ka8FLQxKp45/DOGIBpBe8utHKpIKWIQpemkczFzNPaR//0kn3WcbELivJy2rmLAA8JUJx\nQxjsWNDr9WBZllNUyL7Y86MUldAN2PZCRynFBRdcgFtvvRVf+9rX8PKXvxyVSsURiHkYrzXrQudX\nSGIYhpPC7na70DRtIoOXP3bsd7God1DVeyOR49bMidG55jC1xGSOrQcrcmvoWJGAuA8gn4fqnE+j\nWBqKZZzonGeb5DNigTv4bNG+6//RZUV73ceJFjHuai76nibrecfYbWxGvo6wvnWMutHFml1KJHni\ndaSddRpF7sKEPM0w+7hkGblj7M5g7mySqk2eSckdkE30LkvSyF0WMieDRe/a7baTduWjd5P8wj9m\nlNDFhRCC73znOzh48CA+9alPYX19Hb/xG7+BD37wg3jmM58Jy7ImJhDjpt1uOy/6WSDJoPterwdK\n6djfsH4yBwyicx1qYsloORLHFz74CZ0oc/w+7rFZ/qOx/Abd79Td63tkMjfYN2r15mjGaVSZkxFF\n8MQWKv/UrA2vN/hjSSygEOfJ8kQVOpGoYhfl8rMWvLjp8mlE77IiC7FjTHOgfZznIIvoHTAdyRuX\nzPFsbW057b9Yarbf72PHjh2uqF2OUUIXlWPHjuG9730vDh06hN27d+NVr3oV7rvvPnzpS1/CwsJo\n0fakBGISzILQ+Q2656NwQUzi+WAyZw9Fo6xZjsx1houLR9E5d2p1XNE5Zz8foROpG2wBuYElna3Z\niy4AYsRvUTfRIBYW9eQHsyRyd3er6rNneEUsEzxZNW0aZJIXVxjTyh2QbBwWT56jd7MieHmM3k0i\nNTsJodvc3ES5XHYFW/r9vtMebA7Ip9AdP34c11xzDQ4dOgRC4q+NScLm5iZuu+027N+/H09/+tMB\nAAcOHMDHP/5x1Ot1Z795ErpOpwPDMGCa6T6E4hA02oytQ4yDZVmwbXtsayQ+dux3nb+res/VkgRw\ny50oc0B4dG6dVB25yCo657e/yIoe7b0Vtm4pjdTxwmb6jC7z2x8YCV6S9iZZSh0wErs1u5SqipaR\nRvKSjiVjxI0c3ddJ9/6bVcFL0hqFEXfWqYxprL3LCiZ4k5A5ANjY2ECtVnMFKNjxZZLHuDGSP6G7\n4447cN1118E0TTz22GNO9ahIs9nE9ddfjyNHjqBQKOBpT3saPvShD+E5z3mOa79+v48bb7wRX/jC\nF2CaJnbs2IEPfvCD2LdvX+hteeMb34j3vOc9+JVf+RVn27gFYpJMav0Zi8KJI7bY+oY06xAty8Iv\nmv8NpkZB6KhowORewuKAex3+g+0BoLg4GAr9v5+4GtXhQZoVQnSJiRKXagXCo3Prw5YPfHsSJmO6\nE4njo3MUu41NeV+2BNE5P6GTnWdJj15g4UdUwQubThEmeOL572mle09mLXhZSB2QPno3ycgdMJvR\nu5OklFryskrNJpW8SUbvgOwE79fO/M9MLieM9fV1LC4uutaEbxehm41FUxJuvvlmHDlyBDfddBMe\ne8x/htuVV16JZrOJhx56CKVSCTfccAMuuugiPPTQQ3jKU57i7PfOd74T9913Hx544AHU63V8+tOf\nxqWXXopvfetb2Lt3b+BtWV5elk6L2C69bZIii8JlNWLrh2t7OXEaRr0glzl+3RgvcwBgU+q7FqzX\nOB8GNFy34pW9v1z/Ndf/DVJGWbfQsMuoF5po2COpcNqRCBWYQZWcbJ3YSXsHdJBBXzZXxG4ogqCe\nD9y0MgcA62R0f5d0mqiqsEEs12NblRyIwmQOcPfAE+VOdv4D1ZFAWbSPQ+0Fzz5B8I/1ip7+YHaS\ney2kkbu0o7DYSDJGXMGLOw7rlZXR/ml73gHpBe/kcF1rWqnLoqFuGuL2vWP7J43cZTG1YlIyB/g3\nFs5z4WJUZjZCx6pUrrnmGvzt3/6tNEJ3+PBh7N+/H/feey9e9rKXARhEas466yy84Q1vwEc/+lEA\nwKOPPorzzz8fn/nMZ/CmN73JOf+v//qv49xzz8Xdd98deFve97734fnPfz4uvvhiZ5tt2+h2u65e\nN3kly/Sx36B79pP0TfXvqy+ACds1OouJHKF8ewb5PFRX/zYAZU0LjM4xRgI4Ot1PAG1K8bebv+rc\nPv43L2OjfnPB0bnB9crW0422yUZoGRrBit7CKqliRW8NryOe0AXttzOi3QUVTTC5iyJ0fiSpnI0a\nvfNrf5JG8GTPQZppCTxZRO8mlZoFZit6Z4Bk1pIjTWqWkUVqdpOM5qPyl8ekbs1eQD2gWCgKcaRu\nUkJHKcXp06exvLzsOtYQQpyOFHNA/iJ0UaI3t99+O4rFoittapom9u3bh9tvv90RujvuuAMAcNFF\nF7nO/4pXvAKf/OQn0Wq1AsVMFqED5qf7NJuykIRxD7pnImcCINDRoTrK2qDvGytOKMIdqQvq1cZu\nTYdSrlmvBvbdhZ3uHljvviCbssife7upGXjLzqOubX/feKqwj1vmZMiqOGWC4SdzALBKqs7vUeNc\n+UEw7sL9DclNjyp5jJYQZUgiEnFnnALu6J2f3AVPm+CiFRlE77KalpBV9C6p1MUZhQW4o3e3bS1j\nJWaaW4zeAekkL4tZp4B7akVSqXPNOo2JRfs4Phx2z66fjwi+sGThq62zpOeNS9SpFZOMzjG2QzRO\nxswKXRQefvhh7Nmzx1Odee655+Kee+7BqVOnsGvXLjz88MPQdR3nnHOOZ79+v48f/vCHeMELXuB7\nPbJ5rtv1BQNAOhkjyxFbh0+81OnrZlMdNnQnMsfWq7Foh5/M8RiCrAHe9XTi6R3KImvu+1KCId0O\nAESQNB06fs8ZXj/a584mN8B+eLs37KrnG7NsgX+cOZwiaQ+CQeLHS95OPX5LEz4dmDRKFGcMFuCW\nOyD+2jte7oBsBY+J3SopxZY82TDzOJI36dTs6xdGn61pCivY6zvea9r7fvKbdRpX8rJOzUYRPCZz\n4vXz172/+gt8tXUW1mzvUoQ0UTsxNTsNZGO/AOSu2X9Sci10p06dwuKit/nojh07AACrq6vYtWsX\nTp06hWq16nlC+f2CWF5expNPPunaNk9r6MLui2w+7bgG3X/j1IsBDD64bDqMwEWUuSY1sWM4T1WW\namXIerHJG/B6d+zChg4NFnex5QjruhgFGLiidtK17a83z4ahEazZC07UbaUw+mBdt6uu/wfXES2K\nFxZ9W7eFAfZGG6t2BStG2+cc4Qzkjpvk4Nf8zgdRKID4UpE2enewHV8qxejdKqk5kheW8vZeVsn1\nd9rULJM8JnYbxI4seWllO070ztQKma69S5uaFWedpiHurFORMMH7gdUHIJdOUS5fVP4v/FvnaZ79\nmOQxsUuammVy99I934993jT4rZ+bl2N1GLkWuklRr9elRRGA/wso7/jNpzVNE+VyOfP7fPjES4d/\nma7h9qLMdaiJqtZDhxRQ1G1sktKoJYhGsUmLg2/dw/cvPxd1UbPRojoWnWieu0AiCrK1dhYVRYr4\nzjYloJ7LePOOY67/b2nscSpiB9dJsNp3f5s+q7ABIJu1MDyrdsX1m4ld0ga8ALBmj1LgS7qGdUKd\nQfZRYVIxqegdP8Teon18rRNvrSyTO/Z7d8rniBe8NHIni97FIe+FFcBI8pJEu8eRmgWSVc7ygvd4\nf/R+EiU0ye3jo3dZf8aMk6Dj8Twep0VyLXS7du3C8ePHPds3Nwejf1ZWVpz9Wq2W58kW9/NDJnTA\nKLKV9xcKux/iiC0+CjeukPU/HL9s2AqkiLLWG7X+gPvAs0kGkaSiZqNFitBBPDInIg65b1ADBiga\nRPcdcr/IInuS+xqnA3+XO3CVYsxINTQdV+/4hfP/3zd2SfahOGkPossGiOvDd3dhNPYqrHFulJ5t\nTOwYZySMeLDHeJ1Q53dcqQPSCwUQX+5MreASvCTRu5P8c5Sh3AHZrLtjxF1/N8noHS93QPLCCiZ5\n7Hk4aS8kek741CwwEqckkueXHo3Cv3UXA2+/KKEMvyid9DKE9GwUwZt0dA6Y3wBLVHItdHv37sV3\nvvMdpws04+jRozjzzDOxa9cuZ7/bbrsNx44dc62jO3r0KAqFgqdnnUi9XsfGxsZ47sQU4aNwhBC0\n2+2xRuFE/uH4Zc7fZa0HixZQhoUOMdEZRuosajhy523O6z0gsW/dQWvpeESnaNDhfnS07q6m62gS\ngkXJwS5sysIgPeu9nX4RPFuI9v3e4inX/7zgySIMq8IH7wl7MdO+aqtESNHqHaySMlb0+O04mNwx\n0grepAorspQ7YHYED/CmZuMwSbkD0kfv+OchqdTxZJWeFdOjQLjkRX1NibfxWcVf4j97Z8a8hW7B\nqxtbMxPFkwnddkm3AvF7hc4Ur3vd62BZFh544AFnm2VZuP/++3HllVc62y6//HIAwH333ec6/733\n3ov9+/eHth4Ji9DlCX6AcbPZRK/Xc94A1WoV5XI50aSGuHzmZ4PnhJ+JCgANISIUBScCR7xtV4Ii\nd6GXO/zdHFYAN4jt/ABASyJq7vP7P4Zd2nf9+GFT4pK831s8hasWVnHVwiquWDjtez6eE/ai88PW\ntogVaklhgieKHk9UT1sn1PlJwhbtOT9J6VLL+YnCqyo95+ficrLo5Ul7wfnJglVS8kheXDaI7fqJ\nC/9cJHk+LNp3/YTxykrf+bmonKzXH/88pH0u1ojp+UnDOulLRe/fut415EC81xRb3rEuSU9Hgckd\nL3nTiM4Bg+ObXw+67RC5m/kIXZAwvfKVr8T+/fvxvve9DwcPHkSlUsFNN92EQqGA9773vc5+5513\nHq699lq8//3vx4EDB7CysoLPfvazePzxx3HrrbeG3oZisYhez/uhlAeh4wfd8yO2CoWCE4WjlMKy\nrIm94D/zs8tR07vO1AUAsOjgpcimK4ipVxaN2yRlLOktNGjZWSfH9jE0gnVSgQGKJd29qD9KdM5v\nPxkNYsPQgMbwYLMYsw+XiF+K1tCCv3PxUvfF5s7AfVlEj8ncSXt0MNgdIYoX1M4DkEfvkpI2epd1\nYcW0UrNpIkfjiNwBsx+9y6KwAsj2uQC8qdkkiFK3yr2H/Vq/hEXvXlg5in9vnzu4/KHULSVcWiGr\nnJ0klNJMi/Tyxsw2Fn7Pe96Dw4cP49ixYzh9+jSe+9znAgAefPBBV3q11Wrh+uuvx6FDh5zRXx/5\nyEdw/vnnuy7Ptm3ceOON+PznP49isYjFxUXcfPPNeMlLXhJ6WyiluOCCC/CVr3zFJT3TmIEaBdmg\n+0oZXjsAACAASURBVKARW5RSNJtN1Gq1sUrdx479Lqp6DzW961SwloXxWabWR5OUsFLYckXrmOiJ\njXp5mWOM2pSED7kXB6rLWpzICCvcNKBhIYHkydbuJRleDwC3N93f3sMWgfP97+q698AVJnRBZDX+\nCkiWmuVhQpGmkW7cpsZJ5E4kbUpQJIumxtMeRwbEa2qctqExkO3zkEbuHuic43ta1L5+7L4woZMR\nV+5ee/Y3Y+2fJc1mE4ZhuEZysjTsPMxdH5K/Wa6zxr59+zxCN6kZqGEEDbo3DCPSN5atra2xCt0H\njr4JZxQ3QYYiV9W7HplrDiMK4gxUP5kDvELnngiRfMh90AdtFJkTiSJ3UXq3RRUJUfD+qRmcYpU1\nM2bU9a1UMue5LlCPSKchK8FLSly5S1I1K5KlVKTpeScybcGb9MQKIHvRjip5X24+G0A04YoieE/0\ndke63rDrnKbQbW1twTRNl7wpoRuhhG7IhRdeiLvvvts1OmSaQuc3YivpoPtms4lKpTKWcPUHjr4J\nC4UOqnoPhOqoDg8aTOg6w1TEYJyXW+YG28cTnQPiDbnfqfeHlxd8f8MKJQC54MVtxgskj96Jghck\ndCK7jc3wnQIIi5KmIYnc8WsdqynGLgHJxpHNWvRulsaRpWFacpdFgQUQLHZfaOx1LVnhCRO8ILmL\nI3Wy63pl/aswTROmaU5lzVqj0UCpVHIdk9n0omkHXjJECV1aDhw4gI9//OOo1+vOtixnoIYRNGIr\nahQuiHEJHZM5ACgPxayqd9Gh5nAbS7W6o3F+0Tm+ye64onNB+/PUDe8i5SgyN7qNIxb1bNL2SQTv\n7layaBEvzSsRD2BR1ihmJXhR5C6ocCWt3AH5T83Oi9wB8QQvzcQKxrgid0/Z/YSz7aOP/xYAJJY7\nwC14cYWO5/992pdhWRYsy0K/33fEzjTNic1Q3dzcRKVScS2DYhmrWVsalYL8zXKdNZaWlrC+vu4S\nujQzUKMw7hFbPOMo8PjTn1yLBeF9bFEDG3YVJcm3zwYpS0vf1+wFR+hYk10+gicOt2fRJn4dWFh0\nLgnrxH3nlnSbO03Dkh798htk9HikkbsoC/n5EWU6dPxmdfShH1XuxB52rF1KVLELYs0efUGqG12s\n2aVEkpe2sKIlqXSNK3mTbmgMzGZhhVgpm6bfHZCPwoqs29OwooqncNv+4Ffucv5mcgeMBI+vXPWT\nO76wYtHo4OfWkuv0xYjFTazYrlKpOEuAer0e2u02NE2DaZooFotj7aLgV+W6XVBCFxG/aRFZSpBf\nFG4cI7ZExiF0C9xBuEtMdGGiqvccmROjc4Bb3opCdE7WCFeUOZ51Mvowk60BYx+wSaJzMhnkBS/0\n/AGn8XLHSCJ5aeUOiB+9E/vgASPJSzJtgskd+50mescLHptYUU8oeUmid9OsmmW/Z3FixbSrZoFw\nwWOtUNJE7bIQ7aBB97zcAd7ondiWxE/w9pjrLqlrDKvXg8Tuzc845Ppf13UUi0UUi0UnMMHaZdm2\n7UTMso7e+VW5bhfJU0IXkeXlZZw+7e37lVaCJhmFmyQsOsf3mPNLC6wN22iYkkbBMmQNhRmytWDy\nGafEMxbImaOacrA0E5d14n7u4kTsRNJG8PjmxqYm/wAlIJ50rCx6F2XCBA+TPNbgOE2zYzF6lxQm\nd2uEoJ7gixIfvUsrd8BkGhoD45tYkeU4srTTKpJUL8uid5vE3fqoopm4qNxBm1pO/7dVezFyRSkP\nL9pZp2YZsugd/xkcFL1jn9v8Z3JDaEsUNXKnaZonesdSs+12G7quO3KXNnrnNykir8fRuKg1dBH5\n8Ic/jOXlZVxxxRXONtu20e12QxsT8wQNumcv5mm8+LJswfKnP7kWwCBCZ1EDVWPwIVLVe2jYZewy\nG9gaDoVn0brRGjp5dA7wToiQReeY0MmKInhkUTm/gfcregurpIoVvTW83uC3RdRIVD2F4PGECZ6s\nKILH1IzQfUTuaaVbXwQg0wkWWRZWJBE8RlUz0aJWqvV306qazVIuZm3tXVzJO267ZU42qeHLrT3O\n30mkzg+/5yAoOheXsLV3ALAhNHn3+8ItRgbjwAIavV4PlmU5692KxSJM04yVlaKU4vTp01heXnYd\nQwkhToBkTlBr6NIii9BFTVPyzX37/WGl5ARHbEUhq5TrH/34D1AzRjLHaNlF58PjlLXoVLhGhQna\nhl3F7oL8wzNOdM57+f7nXR2mbtnvQdsNeboiTlpxjYvgGaDYmdAjWPSOiV2L9lEdRhmiiNogejf4\nsI4qEweq7m/nSQTvBLd2J63c8ZE7IJ3grXHrYuPKHYvcqdTs7KVmoyLKHBA+a5VfhwakE7wso6h+\nhEXvAGCn0XZJHf95zuQujcwB7ugdAFf0rtVqxYreseicuM92mRIBqAhdZO68805873vfw3XXXeds\nYw15Fxa864ZkzX35itRZe4Fl0YLlf/zH/8COYUUroToqRs+JzrXsweWW9L4jc37RuS27jHphy5US\ncFqWDGVMVp3KBEwHdYbUZyF07vPK3xJM8JKsE5OdJ67cyVqeVLVC7MibSJI2HLMYvUtaWOG5rJTR\nu7SoqtkRaaN3gHf93Q8sb+V6UPuQoOa+wEjskqZmGRft+V7i84YhtvrgBa9FBtt4mWO865lfHNtt\nAkatuZjgEUJclbNi9M62bTQaDSwtuYs6CCEolUrzNEFCRejSUq/XpWvogNE6OlkUjh+xNctkEaFj\nETImcwBw2qqiNOzfxn6LnO6719CZmo21/oKTUhVlTn7d7tNO9ne4tulcBaz4wRpV5oLwrscjWDG8\n3/SjsiFcfZDg+fWva3HrgpK2fYgbLQLc0bukcsdH7wZp7+TrGvnCirRSx6J3Way7S5KaTVM1O2vr\n7oDpRu+AUQRvQStKZQ5wD7QX5e4l5Z8GSh0fuUsrdeNCXHfmVznLGLfIMVhlLFsGxAorer0eWq2W\nk+VihRWEEF9pm/Xjb1YooYvI8vIyNjY2XNuYAHU6HVcUrlwuz2QUbpy89ZF3o1rQsNkvY2Eoc13i\nfXm1SRFl3ULDLqNhl0czW4UonR4gVEFr2GRy5m2x4R2JVTe2sGYvSNumjPaLJ7yrXLrCT+6iXiYv\neElSs2mrAoH0ckdA8JWEPe9WyUD604gdkF1qdk1oV5RVajaO5KWROyD9rFlgNlOzQLLCCvdcVPnr\nTCZ3zy4ex3/0niLdXyRJanac0TnAv5AASJ9SzRK21rxcLjvRu16vh62tLVBKYRiG0ylijqJxsVBC\nFxHWtuQb3/gGHnzwQbz97W93etCxF1meBS5NT723PvJuLJod2FTDgtFDlxTQJQVUjJ4TlWvbRefv\n0/0aChErWoOic6O+c5LTpNskkbjhZbCh0mv2KDKYtKearAp0VVhgnGX0rh4zOJH14HogekPjuNE7\n8XlkYsfIUvCyWncHJBe8pKiqWTdi9G6D2IGS992uW7RW7dHrLIrcJYUJ3jQjd0FCN6vIonftdhuW\nZWF9fd3VFiVv9y0NSuhCOHHiBA4ePIi77roLR44cweOPP45LLrkEhmGgUqmg3W7nur0II23K1aaD\n+79uVVAxLCflytMersdgMucXnWvYZewsyIsO0kbn4iD2VMtyXRcveGfEHH4tsmaP7nfd0LBmU9TD\n5pMJ8KmnJEwrNcsL3qxE7wBvajZOexSVmh1PatZP6o60BtE1v+g8L3eAXPCeXTyOf20/E0tGC+t2\nNfZAe7/I3bijc0A+hU6E7xJRrVaddXdbW1solUqxOlHkGSV0Pnzzm9/Eu971Ljz66KO45JJL8OpX\nvxrHjh3DkSNHXPuNoyFvnnjrI+92/u4TAxVjdCBp20VXZC6MNW4t3Ua/6ipyYJhsniqb2SqM9tpp\ntLBhV1EvuD+cg6JzPEGp3hP2ous8sg/2JAJ5wq66IlErEfs7yWByl0TqgNlIzTK5i7uOMUu5A7Jp\nZsxH7pL0vMtzapZ/r/hVhUdlElWza5yQBi298IvePav4C/xn7ywAox5vccVudB2L4TtlxLwcv/gq\nV9bUeJyTnGYRVeXqw7Fjx/CTn/wE+/btc7pdX3jhhfjyl7/s+jaTZf+2aZKkp97rv/cnWDB76NPB\nQapq9FAxLLTtwWPB5K6k91Eazj1t2SZ2FDrOPqY+eMMVhCgdAI/QiTIH8L3oZKO9eNkjqBeaWOvX\nUC80nW1B55ERVJixYjQdoVsjC67RY4GXGXCdK3oHq6ScSvIYSQRPJM1MzSQVswQEh9rpq2aBbCQP\nmK2ed2lI8nxElbug90lauRNJI3iHm+dFkq4gweNhQicjrty9ds+9Y++d5te7LY80m03ouo5KZZT9\nYJI3iXnrE2S+qly//e1v44YbbsCTTz7pFCG8+93vxpVXXuns02w2cf311+PIkSMoFAp42tOehg99\n6EN4znOeE+k6zj77bJx99tnO/3l/sWfJ/37iagDAi+rD9W2ckIhFDUy0TG0UpRPTpgYIjnbdQ6Fl\n0TmRMPniLx8YRQDX+jXnNvDr5NYlkT3Z5fjBf3OXRQSTsDrszp6F1K3ZFGzSVdy5pow0qdmk6+6y\nSAcC3sKKVVJLJHnzkpqd1ro7viI8C7kTo3erpBRL8qKMxIoaveOjdEHXEyU1u7m5mekUhSDm4fjm\nN/ZrO5E7oXvyySdxySWX4LWvfS3uueceaJqGT37yk7jqqqtw991348CBAwCAK6+8Es1mEw899BBK\npRJuuOEGXHTRRXjooYfwlKdEq0gS0XXdma/KmJeUa9D9uPHxtwLgo2ju022qe6JMhOrQNQIbGgxQ\nWLTgkjqRc0snAchF7r96dWl0jhEWnQuCXydngGCtvxAodVFgMrdG3GvwZBG7OGnFVWH0ThrBSzu4\nflqp2SyEQiysSEvWqdkk8KnZpJE79nwkeS74SGrYFx8esd1PVqnZKFL31N1PoNEYtOXgx1iFDbSP\nKndBsOvwS81ecfa/uKYotFqt0D5sSZiH9XMM2X3ZbpKXu5TrJz7xCbzzne/E9773Pezdu9fZvrS0\nhAMHDuCWW27B4cOHsX//ftx777142cteBgCwLAtnnXUW3vCGN+CjH/1oout+zWteg7/4i79AvV53\ntvV6PVBKcx/SFZsk//F/vg0AnFQpAFdlqljIAIzkRNZ6RIzUyaJ0/GWE9Yb7SedM7Cy0sGWXsVOo\nGOWLKuRp1Wjr6Rj1wtZgXV7ED+8o0Tkmd3HXifkRRe6iOBsTu3VCE0Xx0qRkGeNMBYaRVVoW2N6p\n2cPt9LGCcadmn7r7Cdf/rOea34zSOKnZoNRrFN7yjIOebawPG/thlZzFYjFxmyy/Zrx5ZHNzE5VK\nxbX8iY0Sy/uSKIH5SbmyESGW5U4XEEKcBZC33347isUi9u3b55xumib27duH22+/PbHQLS0t4fTp\n0y6hS9PuY9b4n8f+lGsCPNjWtQuO1PWp4Wk3YlHDM+OPbWNROvdpg0gdoZpLrGzoMECcaB+BFphu\n/dXyL6GD4MzCoDfg0e4ZrtNZUcXODA4Ka/0FGBpxvpkn/Vbuukwi9vPaTHV5WUXv+MhdEqkTW6Kk\nTc2mjRbFRVXNekmSmn1lZfRFMKncjTM1u/fMH3tO92uoywQvTmp2xdjCMavuOi1obiqPTOYAbx82\nJnaNxqAilsldnNTsvEfothu5E7rXv/71+MhHPoKbbroJn/vc51CtVvG//tf/Qq/Xw9veNogqPfzw\nw9izZ48jf4xzzz0X99xzD06dOoVdu3bFvu7l5WWsr697tuc95XrtD65DUXdLWZcUHLmTSR0vchY1\nsDU8ePFyx4TN6SXnmtxAXduWC81QqRNTuwS6U4RwbumE5379tLcLG3bVI5ViRC8sRSRG0dZs76g3\nJnlJ186dtHc4f6eVO8AteCt6J1J0TgYveEkidmJqNu6Q9Gmuuxt31WySyRV5TM2+stIHGb7HvpbB\nujtgJHhrdjXzSB7gbagri96FpWZF2BitILHzkzkRvpKTpWYty0K73YZt25EH3M+TBPndl3m5f1HI\nndAtLi7iyJEjuOaaa7Br1y4sLi5i586dOHz4MC688EIAwKlTp7C46C373rFjcNBcXV1NLHTi+K+8\nv1iu/cF1rv9dIucjdad6C9x6utEBpqC7RY9F4dg2XsiYrLFtp/s1TyEF+7/OtQYIkjoeQ6POujzG\nk70VAMCGXXGtu2NRvA27mjiit2YvOPK5knINHi93ABsjlvwyebnbbWSz7i6N3MWVOp64MgFkv+4u\n68hd4suRyF2c1KzYzDhNrzvA+5xsEvcXpwW9hIsrPWyRLv6tm64thyh4cZBF58KQRe/C5O5scw2P\n9wbFXvwXXSZ2jKiROz/4AfeVSsV3wH2xWPT0TJ0nofObEDEv9y8KuRO6Rx99FBdffDFe85rX4M47\n70SpVMI//MM/4PLLL8ctt9yC/fv3j+26ZRG6vBZFXP1//ycAoDys7+gRw4nSyaRus18G+oA53GcU\nqdMdqesTI5XUiYUU7P81vnp0KE1hhQs21TzRsqcXV52//6s3SodscB/GLKLHPqyTrHFb7bsjeGkF\nDxgVb6QROwA4ac+W3DEmMakCcMvdLY16oucmy2kVMrnLMjUbh6xSsyXNxM9sdxPuRa2ALTK6Xy8q\nNfDl1h4A6ackiKnZcUXtGEzuCCH4iyde62yXpWbrRhNrds013F5cosIEL6sxW7quo1QqoVQquQbc\nsxFZTO5M05wbocvjMXgc5K4o4qqrrsLBgwdx8uRJVyHC6173OjzwwAP4+c9/jgsvvBDHjx/H448/\n7jrvH/7hH+JjH/sYfvnLXyaK0P3N3/wN1tbW8Na3vtXZRghBu91GrZZt5dw4YTIHAGXDfWAUU689\nYni2m9zfLFLX5z6w+DRpQfcWT7BULBMuFmFztnP/LxodT8pU1ocOkK9tC0uBsut6sjd6PfhVyAal\nVYLW+/GsFLaw2l+ILBJBjYrTyh1PGrkTSdoShZEkNcszzX53K3ozcTsUkTSpWdflpKzyixu5e9Tq\no274V7QvaoM4QoP28Y22d7B9lmOwRLFLEp3zQ1ZQ4FdYsWbLjw/sc3FSM1P5Aff9ft8pplhYWBh7\nz7txQgjBxsYGlpeXXdsppU7RyBwxP0URjzzyCJ72tKd5qkrPO+883HnnnTh69Cj27t2L73znO+j3\n+651dEePHsWZZ56ZSOaAQYROlMS8Reiu/O77AJioFgYi17FNj9QBwFZ/8PgWh5E6PoJnEcMRvcE+\nbtkjw9ebDoo+MdAlBakEArzEUUeknGkTlKBhy6cGsHVwfOEFW9vGJG2n0ZJG6mQ8vXjK9b+4oBkY\nfPNmMrmYcBYri96x32mid+JosjSCx0fuGEklb9qp2SRFFVmvu8tC6saRmq3reuyJFXFSs49ag8+L\nNXv0uSvKXYMGT47hpyRkGb3LGll0y6+wgl9vzGNRA+965hfHdhtFxMKKZrMJ27axubnprMsbd8+7\nceAXaczTsTkLcid0Z5xxBh566CFPvvyJJ56ApmlYXl7G6173OnzqU5/CAw88gJe+9KUABlWx999/\nP974xjcmvu56vS4tigDysRZhIHMDWn251J3q1FAujD5we6Tgkro+cX8gFXTbJXc94fR//+noG3i/\nO3q5FSsWrK775afJxEt4SK/6te+irFvYsCuuqJihESwMBYQVV2yIC6kL3gMs21fkbHPN+ZvJHR8Z\nbHCzWAEkXnvHxM7QiCcCGHeMGC94WUTvmORlmZqNWzmbtt9dFqnZrPrdZZWarRvdxFE7JndZpmYZ\nTOY81xkgdxdWfiqN0jGylLus56KGfeb7yR1jkiInQ9M06LruCN64e96Nk6DnYtaPy1mSu5Tr7bff\njquuugrvfe97cdNNNwEA7r33XrzqVa/C7/zO7+Bzn/scAOCyyy5Ds9nEwYMHUalU8Gd/9mf4y7/8\nS3z/+99P3Fj4Bz/4AW6++WZP25OtrS3UarWZe+FQSkEIQb/fx5UPfQAAUOJkjQkdAGz2SihzH7a8\n1LX6picVy/4XBe7hn+5x/ibW4LRCxXLJHABouvelRXsG9NLoetn59eJwPZ4lfKiQ0eP9319wPwB3\nJC9IsnSNugQqTjPUn1vLgafHlTvZOr0lo5VoLqyMrFKzBmhmvdWySMumZdr97rJOzaa+nJQH7e8K\nhQ5nRHjd1Y0+1uwCftDbE7qvyIrRwKq9GEn0xjHknlWVsmK7PNJsNh2h4yGEoNfrwbIs9Pt9Z7yl\naZqewopZwO+5IISgXC7P3O1Nie+dyZ3QAcDhw4fxgQ98AL/4xS9gGAZ0XcfVV1+NP/iDP3AaCLZa\nLVx//fU4dOiQM/rrIx/5CM4///zE13v8+HG8/e1vx9/93d+5tjebTVQqlZn4FsMWwdq27ayR+N1H\nbnbtw0sdAPTJ6HaXhW/QRHjtFIWIHAD86PE9jnQ557OE9RiCwNGeDr1sc/8P5W0odJ7zi9E7Irym\ndYD2NejN0fne+op7BycNhUlc1yI2GE4iPmFyxxdY+BGl8CKL3neMJPdTNo0jy8a5aQRvHuQuK7KU\nuzipWVHmRKLIXRKpY4RJ3TiErtfrodvtSjsq5IWtrS2YphnYGJ/vecf6v/LRu1mQpW63C8uynMb4\nwOB2U0qV0HHMpNBNi263i/379+Puu+92bW+1WiiVSlNZVMqicEzg2GiyQqEAwzDwym99EABQNUcp\nJF7omlbRNQ2CQejoNcOidT3bff8e++mZrlcI7eswqoM3vEvIujpQ4eVtdJBgUseEbrBREr0bRue0\nou2Vua7hCJ/WHexnbg5+80tW/vtvHXadbVHvSKdGANGlhy+g+K9hWxTZafx1Nkg5VRXtNOROJnQi\nWUbvkk6qANIJXhKxA7IrqgCyE7w0qVnPZQWI3ZHWKOMR5bXpJ3f3t3819gB7P3jBe27l687asCwF\nRCYReaPRaKBYLEaedMSON3z0jj2u0yw+6HQ6sG3bVZzI3EaMPs4BSuiygFKKCy64AAcPups/tttt\nZyHppG6HbduOxAFwBI4Ph198//ud8/BCx+jT0ZuPSV2nPzqgFYfbLOIV1f/62YpH5hiaKUjKULKY\n1PFCBwCa+BnQ0wE+eiekWjVbeD1rFFQH9LYO3RqcZrQ1UDHIx90szQbefMVhl6gsSNaKsVRsYIWr\nj5SFRe/CLjcqWQmen9xFkTkRlZpNf71M7LJIzY5zDBkvdO7rjC9397d/1fk7K7l77Z57xyIg8yJ0\npVIJxWKy1yvf886yrMCed+Ok3W6DUopqdbRuWgmdFyV0HEzovvKVr7heqJMQOj4KZ9s2dF13JE42\nx2/ffTejbLojb7zUNXtFlITTu1YBxYIwxkuIyp345c7RP35C19OAGnc53dFp1PC+pLSuDlQ4KWLC\nx6J3nNB5ZI5d3xDd0mC0teF1CfsJQjc6z+D3Na8/5NqfCZ64vk52oPGTOkZUuVu3q6kOZHVjC2v2\nQiaSxwQvidC5b5OSuyyYxdTs15vPAhAuX1Ffj2EzUOO+N644+19c/8sEhEXv4gqILCqUN2TzT5PC\n97yzLMsprGDjyMYZvWu1WtA0DZXKqFiNFUrkfc66BCV0WbFv3z6P0HU6HWfRaFbwBQ22bTtDhlk6\nNeiDZ999ozVzotQNLnv0N5O6rsVVoBZsj8h1+wY2VoVvosPL4WUO4ASrZrtkDhjIG6narv8BjIRO\njN5ZGkh5JEui0LHr0nsaoMGROWAkdOZwkpZGAGsHu5zRZehcIaTeBVhf4LdcMRK8oEIHdpAJkzpG\n3iJ3Z2TYFwzIRia2u9wBs5GaZULHE2eIvYwog+3ZdYR9ARKFjocJCIveAfHWhsmiQnljY2MDtVpt\nLMEI1vOO/fDjyLJeniQr7tiOQpe7tiXTxjAMZ1YeI6tedCyVyiQOGKRSS6WSNAoXhY5VcEldxyq4\n1tB1rQK6ffe2Zm900GF3yyVzWwVoBKCLXlnko2VoGkDB+7joLcMldQCAtg74vMf1znD9nOBLbJmf\nJq6pw0DmTMlIVHMT6HNfqHVvCz4UtgZS99m/v9S1/ZrfOyQtsHB1ho/QV26PORof5yd3UQaBh8HP\nnE0jdydssXoxbW+w9DNNpz2pAkjW745vh5J23R1ri5I2Ncuej7jPwzm7j6LRSDfEHvC+Np9V/EWo\n1InXISNI5oDB5zaTN35tWKfTQbPZjDwPNc+Ms92W2POOiV273XYeexa9S3sbWMCDh1I6t8+bHypC\nF5Pf/M3fxEc/+lGsrIwWwPd6PVBKE30T4KNwtm07b4KkIeoXHP6wJ5UKDCJ1HS4KxwSu23e/Cfq2\njqI5bEkyLGxorlWhGRTY4iSWkyvCpUtdQgdA740iclpI6lW3dHc0zhpdliz4xQud0dZcUTex5Rx/\n/mFbPfR2eqNzPPzIRfE49+ZrRuso/apYo8idyCSid1kWVWQZvZuX1GzSwoos191lRdBzcs7uo55t\nfpMSGFFTsw91zkk045S//DChC4KlZtlEBZaBYevuNE2TpvnyxunTp7Fz587/n703D5ejqtPH36rq\nPbk3994kBBJEI4MGJJnI4gxEY5CE/BDZQiCESBQRxdHBhZGADiCCKIqAwqiDDI6BGLKTQEiAhEVI\nYJQgSdCEH0IQyH73e3vvqvr+0X2qT50+p7q6u7q7qrvf5+GhU123qvrUct76LO9bU+JDAhdkfAkZ\nq4Q881LHZLtOZs5cglbK1SlcfvnluPbaa3Hssccay0ohdLyGBrortZI3lVOevtv4zKuPY5el0j4E\nqGUZtfBGivZm34SluDl8Zq5Hk6COzJE2up4tlz7lETqgkNTJuVo5QuqsCJ0uAUpchhbUIWWytXOE\n0PkHrevnZGoYMtSLPk3ofEkgRQWm6HmNkEAS6ZPSwBVfdJ7g2SF3gHvSs42amq3EhgxorNQsAY/M\nsaiU3BFBb0LsYlrANsm78kMbi69kEyLZDkIYvErodF1HX18fOjs76yrrwZLncuoaeanjFqErx0ot\nKwAAIABJREFURIvQMbjmmmswZ84cnHzyycaydDoNVVWF3TQ8bTirhoZyQRM6gF8fR5al0ubInCzn\nGU86911qKDupFCNzBFrAzLrkVJGIXEqCmovuyWwnaxrQQnrB/oy/TcjQfTqkjARJA+SUOc1ql9DJ\n6WykDigkdECe1PEIHQCo1LxL9vHFL9We3CnQ0JZr4hhSQ8bnUuFk3d0htc0RktfskbslQ10VWcQR\nOBm9m3rk7pLWp50SePeEiNzxLPiKkTonyRwLOrqUSCQMr1CvOCrQIISuq6twjOsFtq6RHV/RXNnf\n34+2tjZTbR5pyqiV+kQN0SJ0TuHmm2/G1KlTMXPmTGMZ6ewhb2rFtOGqcdP/8+P3wh8sTLXywF4N\nGlWDpufymITMyVEFOnO4IkInp4HMiPyXNKGTkxLUCP0dtU/O/SZRpKlQpiT/Uc4gK1mSe8b7ooVk\njj5mlswRZBgu7qM4hMrM46Y0Lb2N3It6YDj/d5dfXRtyx3O6KJfUEbixqcIt5A6oDcHTqPMa01J4\nMemMK0El5K5UMseiGLkDzE0PQ5p1nSFL8KpJ6GgMDw8bEaRaFP47DZGhvVtgpXnHji8vdaxpmiGf\n0mBoNUU4hc7OzgI/V0mSjFo4tqGhlno86aSvgNSxyzKU4K/frxaQuUxKgSTrkNJyQT2cHfiiMjTB\nPKXEZBOpI5AyZlJnSeYoyJns35I1OFat2W1U6KAVGMpH6nhNFAAgq3kiR+Oh3/x/xmuRkgQu+1Z2\nsqEnst7MSENg2I5tGNtUIbItG1LzE2E55M6NTRWsp2m5qLSpAsg3VhBiV2pq1qqpYq+aHaNRzPJP\nBgexNpp1VKgkakf7zDppQ2YHtMfp4OAgft/9eQDiRqM2OYFeNX+8fsncUBWjil3pbVcbuq5DURQE\nAgFu4T/RZHOr2b3b/cclSYKiKAiHwwiHwybJGXZ83f5baoVWhK5E/P73v0dPTw+uuuoqxGIx+P1+\nQ3OHpFLJzVurC+yfHzd7yxICl6b8U8kymtDpamFkTpJ1qHGfQehKic7RYEmdnKQjckztXI44qpFc\nirVIdM4Xz0bDCKEDzGSulHQrgZIEkrnUq4/hCQqVfhVF5xir2+zvCQBKAlCD+W34Y7oR8bv0P540\nNN4icpLrGlGqL+zB9Kii61QauQPcl5p1iw0ZUFnkrlsTnxua3BFSRzDaN4yezMiqp2Yrjc6xYIvZ\nreruaFJHQJO7WpI5wFrDjaRmSXSJ1mRzi11WJpNBNBrFqFHFnxluA615Rxor2NS3pmmGQkSDoZVy\ndQKqquLnP/85XnnlFfztb3/D+PHjsWTJEsiyjFQqVRfF8Mkrfw05ZC/VqmVkKJTnKkvodFWGnpFM\n0TldBvxD1A1BXRFqOP8PltDJSQmZkbrxmYaI0AFZwpXJbZcXnfMlAE0BIGfJnJLMEiaW0AWpIKqk\nAcmO/PZ5x0z4QHKUmdCxPIFOzVoROkKEJebUyJnsbwsOaNS6Ei6+5Unj321KHDxUi9xVUnMHNH5q\nthIbMsA+wfv/0+aLpYtjyUfjudgHucudIHXGthhyd0LXDkcJiZUOGp2aJUjz6ikAfOfYNY4cTyko\nRZSX7uq0Sh3WEiJDe69BVVXjXLCp77a2thaho9D0hG5gYABPPvkkHn/8cWzYsAHt7e2YNGkS/v3f\n/x2f+MQnjHBvNBrFiBEjav7mNXnlrwGggNRpKQUyRd40RvxXVjTTutmFyGrHyfluVV+UuRmoK0LO\nAOm2HGkzyX/kxyAzUi8gdEoKyOSicTIrc0L9DLp2zUc4jpQldKR2TkkCStwcEQwwvCBfP6cj2SEV\nHC8791OZSnMzRCp7zKl28zZ40TldpqKHCR2ZkGSKzhFCp3OIQj3JXaVwoySKW+rurIgdS+ZYiMid\niNTRcIrgTevaUkBIKrXPKkXYlhA8mtTVg8gRlCvKS1KzJHpXL7usVCqFZDKJtra24iu7GGykkYyv\npmlob293RTTUYbQIXbm49dZb8dJLL+Fzn/sczjnnHESjUdxxxx247777TOsNDw/XnNARMkdASJ1G\nGd0TUmcidLQQLznDctZjVY7n1/MPyoUNBgyhAwA1xETcGAJHky2Fql/WmOegzMxZEkuUyGb1PJkD\nzFEwlswBZkIHAOkRDME0ReR0pEZJ3O8IoQOATJiKKnIInZLUofpzpJghdGx0rvB4ddPxzvnx0wBq\nS+6y+3MHwXNj5A6ojOCx5O6lZP7fo+ViWm35C75X9WFHcoLt/VaSmj1z/DYAYvuscgrQed2JXoET\nx86mDu12dTqBRvCiBcSRRk3TEAqFmorQeb4pYtWqVfjlL3+JWCyG3t5edHV14Vvf+hYWLFgAIGsJ\nsmjRImzatAk+nw9HH3007rrrLpxwwgm2tn/jjTea/n3gwIGCpggg7xbhtotHSynQ0zKkIC+MlPt/\nKicBkpYgpyVofp1P5ijQ5Ms/JBmROhZKqrCejt4GS+oICsgcc8xkXqajc8F+6/o543ijegGpoxEY\nMJM6HoKD2QNJtpvXCwxq0GXJOCZfIrueP5b9v1JERkvSCsdx9Q2zoCSzy8+/a5OxnBC8AaqA3A65\nG+cfMD5bkbtKmyqAfGOFU00VTrlUZI+pMnJHGisIsSslNUs7VexMmSfUHi1/Pnnkrlct/7Hdk/O1\nK5XUETIHALIsIxgMIhgMmmQmhoay54YQEjc2ArgNtFtFJBIx6u4SiQSGh4cdi4Ty4Mb5qhzwfocT\nzk1ehKcJ3d13340lS5bgsccew1FHHQVVVfGFL3wBmzdvNgjd3LlzEY1GsX37dgSDQdx0002YMWMG\ntm/fjqOOOqrkfXZ2dmJgYKBguVP2X3Yx+aH/Bhg9Sy3hy3qhhqg6uZy+m57MMh3JTzGc3DJIua7W\nTJbMCWHxFSF1bHQOAPxRIM3xr1aS2f943xVAytbJZSL8TtNgIce2RKhPR6LTmtSpoeIPu+CgnieN\nufNPyJySLhyw4KBqRO4IIgfzxEJSdcSONAtUEzIHAI//2xnG58/96lnjcy3JXXZ/pRG8anTMuoXc\n0R2zpdbbPRfPWlyNFoxJMXIHAFOCe7EjOQEDaqSkaC0hd8b2y4jasfZZhJDEYjFbjQBeJhXVOPZi\nXZ2lCu5aoVFIj+g81LIx0S3wbMr1nXfewaRJk7B161acdNJJxvIDBw5g3759OOmkk/D0009j9uzZ\nePbZZ/HpT38aQDY8e+SRR+Kyyy7DvffeK9q8ELqu41Of+hQ2bNhgWh6LxRAMBmuWOpj80H9nP4SZ\nEBTRfsuROp0S7OVKgEh6tt4rLUHJpVuJwb2ddCsgFtoFmBQrE6mj51ApQzkvcKJzvtw8RQidkgRo\ntQ5/rnbbusO1MEqWjrDp1/yP9CV1JEdlx4ROtyp0Fy49/Ll7SQ1KuWPKp1ozOXLIErrwYXPITlJz\nDSEZFfEjwwXHpCRU6nP2JCTGhnDhHU8by71Ud9elDKNXHdm0qVlC6GiIyJ1pHQ65eyF2XMnnmLtt\nhtjR0blSQDcCEP9r1t6pHtZTTqG3t7dmLgus4C6Air1Q4/E4dF1HJFLcF9fN4P0OwmtEYv8eR+Ol\nXB966CF0dnaayBwAHHnkkTjyyOxDctWqVQgEApg2bZrxvd/vx7Rp07Bq1aqyCB0B+1ZQ6widgbic\nJ3WUkC8SCtedwQRJh5SUTVcHIXNWYGvdaPiHgDRxV0iJv+OBdKpKap7c+XNziy5n07MGmaO3KyBz\n5mPmj0WoT0OiM0dkk5yI2oBmkDpL5M49qYkjZM60rUEzU2XJHIvwgbhB6qygJDSs++aZxr/P+8Vm\n4zNN7qoRvXNK687NqVnAmQgeS+zWDn8YQOG56FGZyBlnTOjIHY0Bjml9qSSPjdyVC9qcnbZ3isVi\nhjeqV6NEtT5uXiSURO5EZLkYvBwdpWEVoWs2eJbQvfTSS/jQhz6E1atX45577kF3dzc6Ozvx5S9/\nGVdccQUAYOfOnRg/fnxBF9LEiROxfv16dHd3Y8yYMSXtV3SR1JLQGdE5AprUUZATebN7NjonJyXo\nud8iqTkfVLpXIkeOiJUWkI9GZagUKS/9aUXcyHfF5kdfFJByw0kkQJRUVqIEyMmV+PNkrpoIDmhI\nh+0/HMiY+BL5dCyppSPRuciBJHSl+DbDB+JIdVq/ZfqHUki35UOj66+eYXyW0ho++z9Zk/Jak7ty\n5FDcmJoF8gTPqdQsjWLngiZ4VtG7E0J78bdEYYME2X450btLjnm+5L/hga27o31RBwcHTU0VXpqI\n63GskiQZeqd0apYly6TuTnSMuq57MjLKolF+hxPwLKF777338M477+DnP/85Hn30UYwdOxYrV67E\n/PnzceDAAdxwww3o7u7mtmSTbpienp6SCR2QfTiRtyKCukXoyDEN+gzyBuSN7eVE9kLnmdsb6+bI\nHB2do4kc+/f+QSDNkS6ivVDZ6Bw9r/uHAI32QKUifqJmCM2X3WYp86ldh4hQn1aQevUx0bpQv4ZE\nB+M3K9h+YFiDGjBvzz+UgRaUoaR1BHv4kTmSbi04vv3DSBxlHTUJHooieYS5GFFKZw/wiSunQ9Ky\nn8/+3YsAakfuKtG4cyO5c6ru7pixezD09rkASjsXxcidiNTZ2TYLp8gcC0mSjGhSMpnEiBEjkE6n\nEY1GCwRi3Uru3BTdEpHlwcFBI7LHS8266TdUAlFTRDOSPM8SukQigVgshjvvvBNjx44FkG2AeOSR\nR3D77bfjW9/6VtX2PWrUKPT39xeQwVoQuqn3/xYKZMPUngYdkaNhRWxI5I7Wg/MPWqcvyTqqRTbQ\nTno1Y9EMITFDSRNEMo+G+vWCBoNwN0VqcxGRZEfxG9sf0wtIXX5/uXqMfg3pEZxtUeedJnP+mIZM\nKLu+Fizv4SLn6uTo2rnsv/MsWI5nIx3BQ1FkRllH8zZ84ZPZQ/bJdYncZffnDhsyp8ldrxosieT9\n24cfMz7/ykFyF9OyxxWRxcfCbrvUhgonQcgbAFOXZzQaLSuVWAu4lQwRshwIBIyu2XQ6bWpSaTS7\nrFbKNQ/PEjoSefvnf/5n0/KPf/zjWLNmDXbt2oUxY8Zg//79BX87OJgNP40ePbqsfXd0dBQQunpG\n6GSq8UFOyEVr53QJUOJZqRLogJyWoCTFEiIiKPHySJ2RkozmU6jCY5WzadVMGJCLSH7QZM68XEV8\nTJahmomheZzCvSriXdZMNtifJ1ap9uy6wb7cMkWC5uN0+eaicwCE0bli8PfFke4sXk/nPzSE9BHF\nhUJ9PcN46oKToIf80MJ+I3IH1F4OpdQonpvJnR1Sd+SoNwomIR65A+yfC5rcTQwewp7kEQaxA+yR\nO5rUVSs6Vwy8Lk86legV43s3gJeaTaVSSKVSiEajkCQJsiwbtY5ehaZpTUneePAsoZs0aRK2b98O\nTTNP4uTC1DQNU6ZMwbZt25DJZEzp0T179mDcuHFlpVsBoKurC319faZlkiQVHEs1ocT5UToAkBPZ\ni1sL6QXROTkuA1LWfkvKSAXkr1h0jk6JKunsf6l2c7rVtL0hsQ4dkG96SI8sTLf6o/lmiIK/i5qj\nc6E+67EPd2c3TkgYC1+i9HMX7GPcOSgy54+Vfy1IGX7eObBvAKnxxTtP/YeGkOnMhz8l9h451AcE\n85O9HE/jqQuyzUV6OIDZS182vqsVuSs3NVsNcgdURvCKNVSQ6JNI0qMUcgfwzwchdQQ0uQPEBI/X\nVFEtFIsQiVKJtDF7veruvBjdkmUZoVAIoVAIuq5jYGAAmqZhcHDQZHTvNf1AUXrVS7/BKXiW0J17\n7rlYtmwZduzYgdNPP91YvnPnToTDYXzsYx/DnDlzcP/992Pr1q2YPn06gKxsyZYtWwydunLQ2dlZ\nIC5ciwjd1Pt/a/p3NspmXoc2tpcTEtfcHgCkjAQ5DeialDeOZ+rmjD8pwk0Cg0DGItLmH84SNiv4\nh/P7YdOtQD4650sURvUi3So0Gw0GdhDuVflpVQaiejcACPWmoYayxDF0OAk1pEBOavAP5wmgnYYI\nHgL7BqB2FRfu8/VFgWTuYtAYgihnj00P8Zn2l49eZXx+4P2LjM+lEAoatRIydorcAdUjeMTcnkRL\nksmkISDLSy0WI3eAmGx3+YbRK+hYtUrLXjVxQ8GyeoNNJRJ3heHh4Zq6KxB4kdDRIMceiUSMmvBS\n9APdhFbKNY+a69C9/PLLuOSSS3D88cdjzZo1+Otf/4pMJoPTTjutpO1omobTTz8dkUgEjz32GEaM\nGIEXXngBs2bNwg9+8ANcf/31AIDPfvaziEaj2LhxI8LhMG6++Wb85je/wWuvvVaWsDAA/OIXv0Bb\nWxsuvvhiY5mqqkgmk1XV9GEJHZCtfVMj+dNEEzq+7hz1t2mzBAmZC6y03NgInfE5CSRzjRIFDRG5\nOSM9srArVuZourHdrVImT+J8CXA9UVlCRzsu0JIlckpHYowvd1yU5hwVoVMSGhKjC9eRKaFgg9CR\nRVS61T+cMQgdaUwI9CahB/IDyyN0tAadsU+qVk6K5weWJnWkhk5KUoNJf+YROr/PIHRS7yAQyaZz\nl7/y/YLjIuCROxZu1LoDnPOYJcTukNpWFskjhI4Ga6VlN7XIq7vj4XCmDYrNR/k3j33U1npOQFVV\nDA0NoaOjo+LtEH02VVVNdWLVqrtrBGN7kQYgrR9I+/a6MdWt6zr6+voK9ABJc43bjtchuEeH7uGH\nH8batWvx/vvv48Ybb8TUqVNx+eWXl7wdWZaxceNGLFq0CB/72McQDocRDAbxq1/9Cl/60peM9Vau\nXIlFixZh6tSphvXXc889VzaZA7IRuu7u7rL/vlz4YpJhak9DiWVJncSRECnYRjxXjyYgcyyC/dmU\nqh0EB/Okjgc7ZM4Kvty8zooXl4pQdwbpNusbPdSTQXpk6Q8DOgrnG8pH6orBKuIHmMkc4gkAWUJH\nyFy5kHoFYVkOikXuAHdq3QHVS82WAh6ZA4qnFkXuAMWaKmio1BwgIne1JHNOgq27o+vE6KYKJyd3\nr0foAPFvoPUDyfWYSqVckeoWoRWhy6LmETpN0yDLMvbt24c333zTcHDwEh577DH8+c9/xne/+11j\nmaZpiMfjGDHCjo9V6TjlngeMz4TU0Z2pQJagZcK5KA8nOkcIkaYAkPKEzj+Qr3Mj0TnaSouQrRQ1\nlykMj6DLhDIh/vLsv3Wkcv6nIkJHR+hMkiY6PzqX/U3FI3S024MvoSI+NpD7zNSYUf+mSV2xCJ1/\nIAUtqBgkjhC6QG92ENgI3ZrH/920X13XMfese/L7E0TnsoQOUCeMNhE6boSOjc4Bpvo5xHIEIBK2\njM5ZIZFI4OHubAlDM0fuikXtRIROBJ47gMgnNRqNGpMwLzU7pIaRYOszkCd39SBzmUwG0WgUo0YV\nP9flgCYj6XTaUessrxvbiyJbxf6GpLpTqVRdUt0sNE3DwMAAOjs7C5YHg0FXdUY7CPdE6GRZxu7d\nuxGLxTxJ5oBsU0Q9aujswBcnYsGcL6UsmZPTAOR8XRrdtGDliUq+SzIZklLluAKDeVJXcIgUmQsM\n5qVE2Lq6cI9qpDit6udEDhFA1qmBkDoChSF3wZ4UkqPN6/Ciaf6BPOFSEqqRamXlRghYMkfw+zVX\n4QsXFqbWeVD29kDvKj/lo/f0QgoX75y1gy+MewQ+nw+ZTAa/P3gpgOaUQxGRulLJHFDcJ5WeTGmI\n6u5CUqaA1KmQ8J1j15R8bF4AXXdHk5Hh4ex5rtQ6y8sg0blSfjd9PRJJFFZihhY0rgVIgEh0vM2G\nmhO6bdu2YdSoUYZl1+OPP47Pfe5ztT6MitDZ2YmBgQHud7UIxftiUkHnp1xMnDd3SGzaU4lbd6Hy\nUqHBfrGGnJLUs/V0ozihfKoeLdSrI9UmCfcRGKSjabrhjwpka/R48iDlIHw4hXQb/zaQk9mBDPak\nIKc0JMcw3Ri5Qwz2JaH5+Q8Vf18cWtA8wKs3XGN5TCuf+hYumX6njaMHpL2HoE84wrwwaZGGlflp\np3Kjc5qmQdM0o4ZUURSD3EmSZKRmq03uAPc0VTjZUEFAS1AAhXpt5IXSSg4FAO5660Ljc72JXC1f\ngGkyEg6HhfpsgUDA1vPb6ylXJ46fJzFjp1TASXj9PDiNmhK6xx9/HM899xyOOeYYnHnmmXjllVew\nZ88ezxE6kWwJ4PwFpus6Tv3F/xQs98WyRvUlIUec5DS4Qdtgf3FBYWPdPh3JTvHvDA4UepmyCAzl\nUqE0AaU8UWnSqiR1Y73AkCokdJGDSUDXET+iiMBdGQh2Z0ORhgwIIaK5CKEWzKVaB1JQI+Zbi6Rb\nrcgcfd2seOG7uPhTP7N1XJIVgeMhnYE+aL92joWmachkMshkMoYGlKIoCAaDBdd+KR2zbiV3QGUE\nr5zoXDGwk+nw8DAymQz6+vpM5ISNXtSbxLFwi3UWXXdnNX4EXicSTpNptg6UlApUOxoqcoloVtSM\n0O3ZswepVAp33nknfvGLX+C0007DnDlz8MADDxT/Y5dBFKFz6kIlE6aqqlBVgRcWsqQOMNtoCdfN\nifPSoMudrFKtIgT7dGQE7goA3y7LEozBPdlGMWII5IgchfCh7L+TXcUHJ3QogcQR1g4L5cDflx9g\nKaVi1eZvl/T3XFIXTxR+7u6DFo9D/sB4W9vVDh6CFM7/3uV/u81yfV3XTSQOgNGJqSiKEZkrdv27\ngdxl91cewZOhoSN3XP1qxPhcb8iybEyogUDAqBmLx+MmX0+3dfy5ZeJl9dnYJoBaRJrqgWr9Fl6p\nALkeiWWmU+4fVpIljXSu7KLmTRGNAF3X8clPfhIbN240LY/FYggGgyU/OOkJU1VV6LoORVHg8/mg\nKApO+9H/gJWTol0T5HQ+BcpLtxLiR7pbDVmRXISJGNzzonOGlAgtV5Iyp0MTXfmb0iwFkv2c6JAL\nXBnoFLERoWMInebL798f1aCGZASG1Nx3FOnrZnRSqGtaTqmIHxkuaIgwjjeeP5B0u5n8kZRrdjvZ\nAzGJ9JJAHdXJKue2rUZ8BelWO4QuGo0iHA6bHnSXnPKj/Ao8QgdAi2dJkfyB8ZYNEdrhnuzvCIeM\n+jkeoSMPYlVVDRJHohqs4XcymTTqlcpBMTmUajRUZPdVGrGTUVgbUIzUnTXhzyXto1wQLbsg1fBC\nd8ymUinXdSgSHT6e37YbwGtKIeNHxjPsUA1qrVEv2RXa/SOTyZheONjnih0kEgmoqmpqRiScJhRy\n/iXdJXBPU0SjgNSs0BdgKY0RZMIkJI5OW9EX9r/elo1g+oZhkDqeBZYvR8po4kU3GGi+wvq5WiHU\nryEdzo8Tl8xx4I8VT9uGDySg+6zf8sIH4kh2Fb+5gwejSI7LyYFwyFwx+Prj0EJZUqPEzC4SpUbn\naCx/5ftmUmcB7b19kI8YW7A88+77AACZmYBoMkdfk5lMBrIsG2mpahY5V1PIGHBGDoVH5oBspI6G\nW6J2gLUYL9DcTQF2IIo0xWIxqKpqyHt4QXyXRb1SxiKJnsHBQeN6LcWtoiUqbEaL0JUB0cVSjNCR\n4nFC4sgDwW5XEE3qCEQkjRXnZaEkAdWfj85xt2HTvSrUqyHRVRiFM61TLP3KjBsxufcldKOrNHw4\nDTWU30YxMien8qQstD+KxFHFJWVoUmcJpn6OhdIfhR7OkrtKyFyp0JNJqO9lyZvOpOslJnKsx+NG\nFIK9JomCfK3hZa07IE/wOpRYzaJzdmCnKaDWzgBeqkNj6+6GhoYgSRISiYQRHa11h2clcMPYsy8c\nokYVq9SspmmuKyWoJ1qErkwQuxTaI5YFm0rVNM14KIRCobJuKN+wuGaO292agyEtYmOXxORe0oH4\naHsPp1CvhvSI/MZJutW0Tr+G1Ejr7emyhFC/inSkWNSt9Ek3tD+KTKe9SF26w364Xk5rkKN87Ra5\n1IYFAZa/8n1c8rEbHdkWqZ9b/LfbDP2ySq7JasEN5K6UbdNgI3fVRikTNEtOyERKy084VePUqCAE\nORgMCjs8y00j1gJuIHQ0ijWqiASiRU0RzXrdtghdmejo6EB/fz/GjBljLJMkyVQ8ThoafD5fQSq1\nXCjp7H/pEvSLlWQ25aqkshZahNyF+s0G90CezBn/7sn+205zQ6hXRaKr8G2JjtwFhjXIaR2JTqUg\n3RrsUwsiXv6YhkxQMmrniqJIytvXl7BF6gIHh5AaZ67tYU3uCZTeKPRg/laio3MrXryu6L5M+7CI\n8i7/6615UsepnysVfr/fdSROBJrcAaipHAq9bbvE7pJjnre1nhtAOwPQNU70RFqNyJPbSEUpoI9d\n1OE5NJSVqyk1jVgLuH3sizWqkMgd6bJn4ebfVk20CF2ZoAkdib5lMhmj1oI8CCt5CJL6OR78UbEF\nFp1u9UetnRsIQn3i/Kqc0RHpVhEboxQ0RBRsR0DqjG3l3BZCfapZoJfDYfwx8zGRdCuRDykXgf2D\nSB1VvBg4cHAImU5r5qz0WuSsqwATqbMAm24FAIlqWlix5+eOHletwYveVUru9iSzen48w/pStusl\nMseCV+PEdny6sWO21rCq3bISg3aL6b3bCR0NViCaHlNVVZFIZF9u6z2mbkCL0JUB0oX64IMPYuvW\nrbjgggtw9dVXQ1EU6LruWOdTYMhst8WC1L+lRxSmW/1Rc/2ckmK/L4zOFUOkW0WynU9QlWSefPGI\nniWY1TWfZCaOtCDx/jh0gYivCBLd4JCgHB2oDleRhZbvQFbPJXMkZY+hAcqhnA5h0Kx3p+zvAXIp\nzVKjc7YRr8zySq/w77nbrKMEhVPkbmLwEPYkj0BMy5/TSsmdl8FzWkilUhgcHHSkY9ZLpKIc8MSg\n3ZLa9mpakh3T/v5++Hw+Uy0j/X2zoTl/dRlIpVJ4/vnn8dhjj+Gxxx5Df38/Zs+eje9///uYPn06\ngsGg0UXmJIqROiBL3njdrQSyueGyAJFu1dI+i0b4cAbxsdaXjS+mIVOkBo4L6hj8wxlOUXDcAAAg\nAElEQVTDE9U/mPVEZW25KkFg/yDUDvt1Tr4D/YUyIIzrgtQ3ZJA5k/dqCbDTKb387Z/hkg9/13Kd\ngu1SEZWVB/6rrGMTbtsltndA5Vp3hNQRlErurpq4oYyjrhzVJkci26dm7ZgtZ7xFqe1YLFZzvcBG\nIdO6riMYDCISiZi6Zr1IVp1AwxG6T33qU9iyZQveeecdHHPMMY5t97Of/SyGh4dx3nnnYd26ddi8\neTPa2towa9Ysx/YhAiF1ig2uyJI5zQf44rnauVxgRs6lOpW0bjK4t9oOjfDhDNJt4oeOktCgJDQk\nu8SXF88PlcA/bGagBrHrS5qic3Y7XIXHubcH6oTRRdcrBrp+jmD5tv+seLvC/ek6lrxxOxZ89Hvm\n5cniqWinyZybQcidruv4n71zjeXFyF2Xbxi9bDs5ipO7epG5WkNUwF5qWtHLpKLSY7cj31FNvUAv\njz0NOtJIxq1Zo3NAgxG6VatWYcuWLdwLNRqNYtGiRdi0aRN8Ph+OPvpo3HXXXTjhhBNsbfuJJ54w\nCae+9tprOHTokGkdJyMV0xeZ6+cCQwDdfEfLlfC6W0m61VdevXxR+IdUS1IHAMHeDDIjKNHdtP2x\nYaNzVmCN7i8855e292Ob1HFEek3Ydwioosgoa7elKAqWvHE75h9jXxKlmcgcK4x8WddDRjfv7/Zf\nYqwn0roTkToCmtwB1tG7RgbRzyQ2ZG5KK3oFPPkO0pSiaZoxfk7WiDUCobOaa73+28pFw9xh6XQa\nN9xwA8455xzu93PnzsWOHTuwfft2vP766/jEJz6BGTNmYP/+/ba2z6rgd3Z2or/f7JdV7dQTbVhf\n6vokOueP55eJonMiyEmmA/Zw8bRisKe01KN/gL9+8ADfS5MlcwCwYu2/lbRPun6uJPiz70NSMmO4\nLgCVRedok3W6+JdEPwKBAEaMGIFwOAy/34+V+++ztd1Vvb8t+5i8AlLnlUgkEIvFkEqlIEkSwuEw\nIpGI4eLy+TFLsPCIpfjikcswpIaN/1h0+YaR1hXjPys0S3SuGEhKsb29HaNGjTJcFQYGBjA4OIhE\nIgEt1y3uZVJRrWMn0c9IJIJRo0ahvb0dsiwjkUigv78fQ0NDSCaTxhiWCy+PPQH5DV7/HU6iYQjd\nfffdh0984hM45ZRTCr57+umn8eSTT+LWW281rHFuvPFGqKqK22+/vaz9dXV11ZTQkSaBwKBeVEyY\nrKdZxF9pMmdVPydn+L+H2GeFD6dMDRHcffWkxMSObF6REOzOF+srCRX+wbTxmbbQIuCROYKH112N\nVU/bi15JvQKjepsacnpPr631im4nR+QymQxisRgSiYRRIzJixAiEQiFujdLK/feZiB3b4bp64EFH\njs+NoElcNBo1WTJFIhFTpzndiZ5Op6GqKq44ajmu+sBqfPWDj3LJXYSyZRGRu4Vdv0M0GkU6na5b\nLaEbJ2iSVmxra0NHRwdCoRAymQwGBgYwMDBgRJu9iFqNN4l+WhFkK79vEdx4vZQKq9/g9d9WLhoi\n5drb24s777wTL7/8Mh58sHDyWrVqFQKBAKZNm2Ys8/v9mDZtGlatWoV777235H12dnZiYGCA+121\nbxZfPEvqUu38ffiHs5OKluti9SV0ZIKSEZ1jO14rRehQEokjgkXXC/YkkRxduF6wO2E0RGjBwkiI\nrz9eQOhWb/ymcD80sV719Lcxd/qdAMwdrohSueh4AtLeBPQJR5g6XC2Ra4jQ3t9nNrovMTrHWsCR\nDupQKFSybmEzROGAPImj3S1EMkGaphn/kbf5QCBgkLt4PG6Q5AWjHzYkhx7uXmBsIyKnkNCzj0ot\nV8uQ1hX4JRXfPPZR10pTuAm8jtloNIpkMolUKlX1mjEnUS/SLqq7o7XZ7I5hoxO6ZkVDELof/vCH\nWLhwIT7wgQ9wv9+5cyfGjx9fUCw5ceJErF+/Ht3d3SaBYDsQReicwKyr7wdGWRT85zhHYFA3i/My\n5vY0aOmPwKBqkD0a4UP5OiBJ0xEfV7q5cbFO1GBPEpJaaHDPwjeQghbmX55WZK4SSHsPAWM67f9B\nOmMic3ZBJjRC5IhnaiAQQDqdNuqSvAIiqF1N8GzzRO4WZF0CMtnJsmyK1pG/y2QyxksA6Tb8yjFr\njO91Xccv/3FxdluSBk2X8Z0PrzC+t6oha5G7QpCOWdJY4fP5jI5ZXdcNcuf2jtl6HpuVTy8ZQ6u6\nO7d0pVcCnqhwI/yuSuB5Qvfmm29i5cqV2LVrl3Cd7u5utLUVan+0t2fFZXt6ekomdKIIHZkYKr3Z\ngwMakhakzg7kdJ7w+aMaMmHx9iIHk9BzhyxpOe/UgwnIaQ3xI4sX+/OidEqCmlTT9if8wMFhw+Se\nhR0yx6a+V/7xP3DJJ+yl1rX39kH+wHhmIT+loR08ZJvQiQiJV7wf6wG2EcTn8wndLVgSR0gxTeKI\nCCm9vWAwaBAHNupB9ufz+fDND60EkE+Lk32RKCr5j5WmSKVSrQYBC9Ads3RDgJujnW6LDIkkZeiX\nCtoTlTwb3fQbyoFIS6+Z6+o8T+iuv/563HDDDVzCVk34/X5u7YKTdXSE1NEiu0Iw+9R8OfHgkPnC\nDgwWHnPkoHWHXvhAHMnO4inV0KEk0u2FtW5CMBxP88uQk6qJzPn6nWnTXf6n75VE6gBAPmIs9/vM\nu+9D5nS0Lv/bbebtcAiJGz1T3QTemPHSSJqmGcSKtmAi65GJS9M0JBIJo76NEEJeWoqXFiTkjkTu\naDJGtk//Pdk3+T+xL2IttZw2c/diZIJHjOhoJ02IiWisGwix2wgdC3YMWSs3vz/7jHbzb7ADt5+H\nesDThO6FF17A66+/juXLlxvLeA+2MWPGcLtZBwezxfCjR5enRUbe1umLyunGiOCAhkzY/kVL0q2h\nfs1wgvBHxdGx8IGEpZ4bQWh/FImjsjZYvoS4CDd4MIbkuBKNyammDF9/3CB0ctysR7dqs80mB8E5\nKIXU6ckk1Pfez362UXSsx+PGBM/Ww5VaG+TFyblc8MasFBJHImI0iSMRCprEhcPhks4Ba+FEyF0y\nmTRSuD6fz0iNk3PG1uvR5E5kqUWuEdZ4vFQ02uQmIsREiNeJMWt08K67ZE6vcmBgoGK3j3rCyn6t\nWeFpQrdp0yZomoZTTz0VQPYEHzhwAEBWCDgQCOD222/HlClTsG3bNmQyGVMd3Z49ezBu3LiS061A\n9S6aWVffX7As2K8h2ZElXXSHK2tuT4OQOYWy4QofTkMN5smbXTJHQJM64xg45C54MIbMKH5Ez1Q/\nx8B/YBB6KB/hU/qGoUeKRwZLwfI/fU/ohWrX5F7iTCAP774dsVhWnJak8kptagDc5bpQLdAkLpPJ\nknbRmBESR/5PpzVZEpdMJo0aRJJ+KuccsOCRO1LUT39H0rtW5I5sj44ENqtfaikRFjses4TcVXtC\n92pkiFx3iqJgcHAQkUjEqLsDvOf24dXzUE14mtDdcsstuOWWWwqW/fCHP8SGDRuMJglFUXD//fdj\n69atmD59OoCsbt2WLVuwYMGCgu3ahaIoyGQyRggbqN6EHOzPEqH0CGsCFurPEqx0rl7OH1UNU3sa\n4QNmP0+dc1/w6t5C+6PIdPLrxmg9N99AUkjqRKDJHAu70TnT9gQ3vMng3gFf09//9VZIklRWZ2qz\ngBX6JcSMN2Y0iSMg9XB0RCyTyRSQuBEjRlT1HNAELhQKGU0QTpE7p/1SGxGiMSPEhJC7ahETrxMJ\nUntGrlW6mYeuXSTXnlt/K6+GzqsetU7B04SOB/oBSjBr1izMnj0bN954IzZu3IhwOIzbbrsNPp8P\nN9xwQ9n7IuLCY8fma62qHWEJ9atIdDBv7rn9BftUQJGg+QpvQP9w6VpFIgT2DyJ1VLvlOnIihUAi\nhdS4NlsNEcqBPuht+VSt0scXEraDWj2ASENEJFJiirnBILrmWUkWUgAfDoe58iKidCpds0aaFkh3\nMCFx9Yhm0QX9hNwRDUGS6iVRI7vkji5upzsXAVhKe3gxqusEMWKjp2xTRTVcFrwOXpkQz8qtWvWe\nToEQTxbNfJ4bhtBt2LAB3/ve93Dw4EEAwDnnnINAIIBXX30VALBy5UosWrQIU6dONay/nnvuORx1\n1FFl77Ojo6PqhE5JFm6LROEkIvpLifPSYKNzJN0a7KmdTVHg4BAyXSMKv6A4nnKgD+DcmCTduuLF\n60reb7Fu4+V/vdWWwb1V/ZweT1TF6N6rYquAmcSxkiwijTi6647UpfFIXDqdNpoTSGTPLaAnxWAw\naNR8xXO1lZWQOxJBYe2g2PRYM09kgPkcABB2e1YadWqECJ3V8dO1i/VOb1vB6+ehGmgYQnf22Wfj\n7LPPFn4fiUTKEhC2QmdnJ/r6+kzLKp2QQz0ZJEbzT4tCeaFKAgcH7ja7U0X9UI3tava2G9g/iEwn\nh6hx4DtIybvkaqZA9qMUTsrKvm6gDH23UrH87Z/ZInUspABfUqVZQdKj8XjcttAvTeJ4kTjS1EDq\nXt1I4kRg5UtobTpafsXn8xV0zJJnBy23IiIqdBSKNGh5CdWekHkds05EnbxOJEo5/mLp7XrW3Yl+\nhxeeEdVCwxC6eoDn51oJzr34VwCsSZ1dhHrSUEOySehXSWoI9CagBZxJT/n6orZJXTmQYkksf5Xf\nwFD0b21GSpe99VPMO9YcAdST9iKYzWR2z4LV1QNgKfRLkzhCVmgSRyZclsTx0rNeAyF3AIzIXTKZ\nRCwWM4hFMXLHat2xQsZAtmvfjbptbgCvY5aVpGmGRhSgfELKS2+zdXe1vPa8TqyrgRahqwA8QudU\nytU2qePsyj9olvuwG50TQUrkt2eyz4on4IsnkBlvU/YlkxF+RRoipN7Bqkfn2AL93+38Ab7wT4ts\n/S3pcK0WmXNzl6tIV8/n8xU0B/HcGlihX03TjKYGVVVN9WON+qCmuzVZKQ5CYq207kRCxvF4HG1t\nbSZfW7cLGddrQhZZaNltRPE6kXCqdpGuu6Oj0EQzsNp1d14/D9VAi9BVgK6uLqNmj8DJCTnUk0F6\npE0yRrxQfRIUwKid8w9nDELHRueIZAnP5P6is+6xfZy+fT3QOvNNEibSlxaTuAK8fxCI5AV7y43O\n8SCq7SJpvJX778Pco75ha1vNFJmzI/RLpEcIiSMPWkI4RCSO59bQTGDJHS1kbJWWJaB17ojmIbmm\nRWTRbYXt9QadUhQ1orAds14nEtU4ftYhhfWZJWPsVAc6TwOWwMvnplK0CF0F6OjowBtvvGFa5iSh\nU5IalKSGxGhzw4BV/VywJwnNbz8ixyNzALBk3dVYcN5vbG9H3ncI2vgj7K3MqdOTEmlesLFskFpG\nWrSWPHSIPhmLlfvvw0VdV1lud1Xvbx08SvehFHFkkkYl66ZSKYM40AX+xHKLCP02M4kTgZ70WAsy\nkUsFWY8QanKN10rIuFK4jRjxGlHolCIZM7dG0O2i2tIe7LVH6u6GhoYAOCMrQ780tpBHi9BVgK6u\nLm4NXTk3vNXfhHrSSLdbn6pgd1ZPLRPJkj8loUHO5N/mA72FemsiMkfwyPqvY/6Zv7BcpyKQhgi/\nH3p3r+mrcqNzJEpE/rMyceeBELaLuq4q6HBdPfBgWcdUCuqRci1X6JeAdKaSdB8Zc/IwL9etoVnB\nK0Qn6SwytgAMIk3S1GRdumOWfG4JGZcGq5RiJpOBoihIJpOuTWdboZZEupisTLl1d1a/oZmfLy1C\nVwFENXSAvZuGTWdZIdidLdRPdQSY5TmixkqWDCahGuSuUHqjmMk9IRYr//gfmDv9Tst1CeR9h4Cu\nDlvr0tDe2wcpHIJE0q0liv3y0oK0XEY5aIZIHF1HCMCUgi5G4ni+qT6fz4gsEXshEg1ys0Cpm0Em\nRJK6pseWJmp2LMjYv6mnkLHXolx0SpGkY92u0yZCvcae161NSHKpNZ9ui+66BS1CVwFGjx4tJHQ8\nWKWzLpxfaPnFQ6A/lbfPsqmO4uuLQQ/m07bFyBxgjhSt/ON/AIA9YtfbDz2egDThSPNyQUNE5t29\nkBnStXzXjyx3IYoo0RNRIpFo3fAMyhH6Zd0aWHkRnuUWcWsAYBC8RCJhKvpvnZvioGuRyItKKBQq\nmBArcakoV8jYKXj1OvD7/cJ0thc6Zt0w7ry6O9qr12oceYTOay8J1UCL0FWAzs5ODAwMFCynRW3Z\nSRTgp7PKMrUnIA0R/uyDOnBoCHqIH5mSU+U7RpiaHYpA33sA0hHWHrmZd/cCyDsuWG6vhIgS4O5u\n0VqiVKHfUt0aaBLHe/CK6sJ4Rf8t8EmcqN6QdamgyR0Z32oKGbfA9+UtpWO2HnBjdMuq85iNRNPz\nK4tmr6trEboK4PP5hKlS8kBWVdVyEqVBkzolyd+ulbk9AMhp1UTmfH0x0/crn/mO5d8b++EIJC//\n0/dwySduz/6DTotSn3Xqs/ruXijHTOBuP/P+XkAqHAs6OiciI42gTSaCE0SUpNLoZhCn3Bpoy61S\nhH5FE1+L3JVG4nigU1l0tEPkUgGYte545K6YkHGlkVY3kgq7sCITVh2z9RThpeH2sWfHkfdyQdZr\nwYwWoXMAuq7jnXfewZFHHmn8mxQr2y3Gt0IpUTVfX8wgdEosbfrOLpmzgonU2YCai8LpmXSRNQE9\nFueSEavOVBGaLULHCv1aNYOU49bgpOVWi9zBOFdOy7fQ55KO3NHkjpA1uy4VPCFj2k6r2YSM7RCi\nYh2z9Rw3txM6GqKXi2QyCU3TMDQ0ZBpHr/yuaqFF6MqErut49dVXkUwmcdppp+HgwYN44okncNxx\nx0HXdeNNrFQED8aQ6ShPWJeNxsn9Uejh8poCrAjR8j99D5dMvqms7eZ3kJ0w6Pq5xbt/hGg0WnJn\narNCJPQrInGs0K8b3BpEHZ0iuQ4vg0zqRL6FEORqpuNYcpfJZJBMJotq3Vm5VNB1T7RXaquonQ+r\njtl6CEB7eezJywWZmxRFMdXdjRw5ss5HWF+0CF0JyGQyeOaZZ7B27VqsW7cO4XAYkiTh5z//OaZN\nm2aSE6gkOuTrTxQndSXaxZYanSsW4Vq+84eVkzoGTkU0Ae+a3BcbdztCv/S6PBLHE/ol2ySTfD3c\nGliJA1auw4vkjkfi6iXfQsgY7VJBW5CRc2/XpYJnp+XVzs9SUCkhEjUD0OSuWuNmJcjrJZCGQrru\nLpVKNdy1VipahK4EaJqGn/70p5g5cyaeeuopTJo0CRdccAFOOOEEUzSu1HQfr3s0cDArwpga12Zr\nG0rPMPRg/hjk/qjt/VcbdtKtK/5xVw2OxHsoRegX4Ls1kDSeleUWqVdxy4Pey+TOTSROBDsuFVbk\njtW5K1XI2Mukwsljtxq3amoEenXsCdhzQJ4Xbnwe1BINQei2b9+O//qv/8KLL74Iv98PVVVx5pln\n4sYbb8SYMflOy2g0ikWLFmHTpk3w+Xw4+uijcdddd+GEE06wtZ9AIIBNmzaZlnV0dKC/vx9jx441\nLXeqfitwcAiZzmyjBK8hQjmck03x+wu+I1ixxZ5PKQ07pHT5zh/ikn+6znIdO9BL1J2zA6/X0NHN\nIEBxoV+6M5XViCPb86rllhfInRdInAhWLhWitCy55gCYSB35XEzIuNknXh6sNAJ5nZ7lwMtEmgZp\n5mnBjIYgdPPmzcPkyZPx6quvIhQKYf/+/fjMZz6DJ598Etu3b0cwGAQAzJ07F9Fo1Fh20003YcaM\nGdi+fTuOOuqosvbd2dmJ3l6zy0GlZEJOUhGtVBq+gzlpFGLxc2QnlAO5fSqFD0Z5X7fJE7Uc2P0N\ny//+Uy6p0xJJ2/taeehXJR1bI4KWZQFg6LbZFfolaRwysZLvacutWtRsVRsicpdMJo3u21qQOzK+\nXiVxIvDIWCaTsbQgA/hyKDxyR0hKIpGAruuIxWKuk/UohlqQIvo6pzs9K+2YbRRCp+t8+7Jmf1Fo\niF8vyzJ++tOfIhTK1p0dddRR+O53v4s333wTTzzxBADg6aefxpNPPolbb73VIHg33ngjVFXF7bfb\n79pkwbP/qnZ0SDnQZ3vdcqJzpWLZm3cAKC/SVk0y5/YIHZngEokEYrEYUqmU8bCNRCIIBoPGREdS\nqSRNqmmaSeeKRD0IiRseHkY0GoWu6wiHw2hra0M4HPZERM4uyKQXiUTQ1taGYDAIVVUxPDyM4eFh\noxPOKRDS3UzjS1Lx7e3t3PElBIF+6aDrPEn6n6xHNAtp3cLh4WEMDAwgFotVXH9cC9SaFJGyiUgk\ngo6ODrS1tUGWZcRiMfT392N4eBipVMrWuDUSoWuE3+E0GiJCt2PHjoKO0vHjx0PXdfT1ZcnPqlWr\nEAgEMG3aNGMdv9+PadOmYdWqVbj33nvL2rfI/qvWDyVSPyf1Djq7XcGNwxbn/37nLVj4T6WRx9X9\nDzh1mAVw681uR+g3lcoKONsV+uW5NXg9UlQqqhW5a9RIXKngjW8mk8Hw8LDpO7suFWSbkUjEU0LG\nbiCbtIwM3Wk8PDxskkPhXeuNQoQa5Xc4jYYgdDx5kDfeeAOyLOPTn/40AGDnzp0YP358wboTJ07E\n+vXr0d3dbaq3s4uuri7s37/ftKzqhE6zt+1yDe6BQkJEJjZCRngdliv2/hIXT7jGxsblqpI5t6FU\noV8ARscWeTtnSRwhLDzLrWZ/0FVK7mjSnU5nyx+I5EQzkTgR6PHluVTYIXfkJYVMzNUWMnYabjkO\nUacxkfFopGYUAqtOXa//tkrREISOhaZpePDBB/HlL38Zxx57LACgu7sbbW2FHaPt7e0AgJ6enrII\nXUdHB3bt2lXR8cr7DkEbf0RF25CSGejdvUA4VHH9HA1C3ooV5xOs2PtLAMBFo78q3GYtyFy9myJE\nJM6O0K+iKEin0wXdrDy3BpHlVgtZsOSOkA9eZIlubKDTuS2SLAZNxmhyF4vFClwqABiEQ9d1BINB\n41r2ipCxmwmRnY7ZRoJbz0M90ZCE7oc//CECgQDuvvvuqu+rq6urwM+1FDJBGgqKkjqeuT1piPD7\ns2TOAdDRCSAbKbLyTBVhVc9/AwDmjPqSsWz1wIOOHKNbUarQL5uOovWpiK4SEYEFYJC4kSNHNn3x\nbzlgyQcp0E8mk6bvW5HO8kCPL4nok2gReR6SsSepVDsuFU4IGTsFNxM6GqJmFFLO4cVmFAKrDlev\n/Ran0XCE7ne/+x1WrlyJ559/HuFwPlI1ZsyYgtQoAAwOZmvORo8eXdb+nKyhk/cdAkZ3lnUcJsTi\nWL7bfqMHueEJkSN1XZIkGV2R5aJeJK5WEbpKhX556VTWrYG8WROVf6Id56YUlFdAR+lIJI6cLzqi\nykaWWrAPnjetoijG9V+uS0WzChlXCjoSTdLdAFxfryiCqMO1hQYjdA899BDuvvtuPPvsswUEbcqU\nKdi2bZsxSRLs2bMH48aNKyvdCvC7XAnKeZvT398P6eichEqquCAvAGjv7YMUDkEK27cME3l/0g9E\n0qHWQh7lCv0SkKgD69Zgx3KLTqXwRGC98DCuB3gkjldzSKIZopqwFrkTgyZxhBCLdA55LhUickfA\nI3elCBk7Ba9E6EQgz59IJKttytYr1julbQe8c9Cap7JoGEL38MMP42c/+xk2b95siPyuX78e+/bt\nw1VXXYU5c+bg/vvvx9atWzF9+nQA2XqOLVu2YMGCBWXvt7Ozk5typQt+S4X+fjaSKB1RnGRm3t1r\n8kMFIIzOlZISbBQ48QCmSZxdoV/yfzL5sEK/rFuDXcstnk4YIXf0xNio59MurEic1SQvqgnjFfw3\n+xiTeyKVShUlcTRYlwqa3Nl1qaClUnj3RLXcFrxO6Njjr6Rjtl6waojw8rlxAg1B6JYsWYKvfOUr\nuO222/DUU08Zy1944QWMHz8eADBr1izMnj0bN954IzZu3IhwOIzbbrsNPp8PN9xwQ9n79vl8pgiM\nk1Df3QvlmAnmhbkO18z7ew2De1FkrtRoEot6NxZUAidIHBH6pUmcldBvMbcGmsQ54dZAT2TkPPOi\nHs3ykCuXxInQIneFoF8iMpmMbRIngh0LMp5LBXm2FSN3tNsCrdvoxdoxJ2CVriy1Y7Ze8DqpriYa\ngtBdc801SCaT+O53v1vw3c0332x8XrlyJRYtWoSpU6ca1l/PPfdc2S4RNHjeck6QIfXdvdnt2/BD\nBYBlu35k2zaqGLxM6ID88dv9zXRDCCFnRK6CJy/CRuJYtwYAhhAt0TCrluUWHYmwSmk12oPQaRIn\nQjOTO5bE2Y0mlworC7JyXSpotwVCFonbQjlWWl4nE3aP307HLCF3tR6PlmSJGA1B6Hp6emytF4lE\nyhYQFkEU5q06GcpF5+h0qx7POg6QyafUztRmhB2hXwKe5RYbiSPfs5ZbtdQwE6W02KiHV68LWhIm\nnU4b56xWEi7NQO5qReJE4EXaRP699LNWJGRMnxdayHh4eBi6rttuDGgWQkdDFPWkiXEtnymiLlcv\nnxen0BCErt7w+XxIp9MmnR87hM6usb3d6NySN39iSk9UikaJ0LEoVei3FLcGYl3kFjeBYuTOK+kn\nelKndfjqLeHCkjsyxrFYDAAMIuSVMa4niROBJmM8oWh2jO2QO3LOaJ9UNwsZO4VKCSl7LuoxdqR0\niF3WaOeqHLQInQPo6OhAf38/jjgiryNXazK04h93Ob5NSZIc9cKsJyoR+iUTgB23BjcL0fLIXSKR\nMLrb3EY8RCSORJ7dBjrtTo9xPB4vENl14xin02lhh7VbwCMUpbpUsOSuFCFjrxMHJ4+fJsZAvmOW\nHjsyfk6OmdfPQTXRInQOgEfo7GD5339qitLR5vZaIunY8TUrSMSBmLTbEfqlSRwvEkdHMKpVr1UL\n0OSOTGJuIB5eI3EiuJncsSSOFLx7cYytUt905M5K664UIWPyN15FNckQr2O2GjqBLUInRovQOYDO\nzk709fWZltmN0LGkrhxUIzoHeDPlSsuLkG44K404kVuDiMR5lWBYgZ7E6kHuGqnz/LIAACAASURB\nVIXEieAGctcMY8xLffPG2C6543V9xuNxo0vdi0LGtSJD9NjRYul0g0u5UjKi3+Cl81AttAidAxC5\nRdhNVy578w7MO25RNQ6t4UEeyqSxgZZmSaVSRrEuQSluDWQCJA+gRpn8rFArcseLEjXDGLNRoFqN\ncSOSOBHsEGhC/kpxqSDRbCDvt1xtIWOnUY/oliRJBR2z6XS6bCmZVoROjBahcwDl2H+x3ZX/u+MH\n+MJx15e875WHflXy39iFWyN0doV+CcGz49ZAv0XSBeGNPvlZQTQpAiirk7NZSZwVnCZ3rIxLs5A4\nEXgEmug1FrMgI6DJHXlhLCbp4ZSQsZNww7Oc7pjlSckQcmfVMatpWlNey3bQInQOoKuri+sTy95A\nvMJ8YsMiyzJW7P0lLp5wTfEd5iRLVvc/4MjxC3fjIkInInFWQr90XRxPI44I/ZJtuqWrz20QRTzs\nWGO1SJx9lEvuRCSu3h3AbgTvOrZrQUZ7XZMokUjSw41CxvQxuwE8KRnSIW5lQ9bSoROjRegcQFdX\nF3bt2mVaRi4u2qmhWHclAKzY+0tcNPqrxr9FkiXVJnNuQDlCv7S8iN/vNzqvSFpEluUCz0nytth6\nIBQHS+54XYY+n8+k+k/XNrUIhj0UI3ekjICMsZcbdOoFnksFkeCgGyrI84KMvaIoRlMUeUEkn50W\nMnYSbk5V0jWQom5j8l8LYrQInQNgU67k4aBpmunhYNczdVXPfwOAidgRrB540LkDL4J6ROjKFfot\n5tZAUizkd9ESIy2UB/ohHAwGja62ZDLboU3EfukaxhZKB02gSXovlUoByJMSp6Uhmg10qlT0vKDT\nqLUSMnYSbsm22AHbbUyu+2g0CgBIJpMFc0Lr+gekIifZO1dAHbFr1y78+Mc/RmdnJ9599138+te/\nNt7iRowY4dkLTdd1RKPRqv8GkUYc3ahAwHNrIOuRByr5nn2zJtukC8Ub2Rar2hAJ0SqKYvqOpKVo\n26YW7IFcy6S+kyYKkiQZY0xkeVrXcnmga+FI5J6OxrENUjwLMlryiCV3NAi5S6VSNRUyzmQyiEaj\nGDVqVNX2UW1kMhkMDQ3B7/cb5QWEGHt5ri0Rwh/ZInRlIp1O4/nnn8eaNWuwZs0aAMAll1yCc889\nF6eeeioA1IQMVRvDw8NV+Q0iEsebjEpxayAPXjtF5TTpa02I9iAicSKHElF9V4vcicG+kADFm1Ba\n13Lp4F3LVlEzUddwpeSOJZK8ujEnQNL27e3tjm63liA1dqNGjTLORzKZhKIoGDVqVLNc6y1C5yRe\nfPFFnHfeeTjuuONw4YUX4pxzzsHXv/51rF+/3rRetchQLRGNRh1TjWfrCUnETETiWKFf4pvKkjjW\nrYFst5RxZydEN6r61wsiElfqpGNnQmxm0NcyeSEhaaVKruUWuctD5IxR7rXM1jDSzUGlkjtajJc8\nH52MbJNyiLa2toq3VS/wfgMZ31AoVK/DqjWEF2pTFLccPnwY3/72t/HKK69AkiSceOKJuOeeezBh\nwoSytjd16lTs3LnT+Hs2BUhAatCa+SFKd6bSk0slbg08y60RI0ZUZLlVzDmhnInVyxCRuEqaR+hJ\njz6PxJOzGckdj8RV6gEs8u9lOzmb6Vp2Wo+PvpZ5LhX0tVyJkLGTTguNMBc1wm+oJhqe0KXTacyc\nOROTJk0yOlGvuOIKnHHGGXjttdcQiURK3ubIkSMxcuTIguXsxeYm2Y9yUepvsBL6ddKtgdRMVKOj\nj9dhaEeiw+ugO1OrLeMiIneJRIJbp9RIqAaJE6FZyV0t9fjo5iD6mRGLxUpyqSDPP0LuaK071mmh\nHCHjRiBDLckSazQ8ofvf//1fvP7661i3bp1x0u+44w5MmDABv/71r3HttddWvA/RxdQshM6u0C8B\nz62B9zZLHsb11C+zkuhohEL/WpI4EazIXbEaPa+AjrhUm8SJ0OjkTtRAUkspF5rc0bWQdizICFhy\nJ0mFTgvlCBm3CF3jo+Fr6M4++2zs3r0be/bsMS2fMmUKRo4cia1btzqynxkzZmDVqlUIBALGMlqJ\n3KuIx+Mm3SsCEYkjE28xEkcicSISR8gFGT83Tebk7Z/Yg3ktXUgmGVZQudpddqWCFmp183GK4JW6\nTPo46Q5Pr5A7NuJJv2i56fjZ4+TVNuq6bnqBZskdDfr+SKVSRYWMY7EYJElCOByu/o+tEni/gS7l\naRI0bw3djh078NGPfrRg+cSJE/HMM884th+iRXfEEUcYy9z0MCkXdISuUqFf0tRAFwbTb9T0pO1U\nI0Y1wL6F8yJKbiMdvEnb7YLKbOSOHD/9ouTmcSYTTTAYdDU5siOw69ZxrmfEs1TwtNXsulQA5qYK\n8rkUIWNd1137TLUL8mLUAh8NT+i6u7txyimnFCxvb29HLBZDMplEMBiseD8dHR3o6+srIHReT7kC\nMLpS7Qr98uRFWBKXTCYNcuFlyy1eupCkQ+o9GfJInNvJhQgkxU0sltxE7rxI4kSgU3h0Ot6t4+x2\nEieCVfqbHmdWDoUnZMySO1bIGMi75ni99rcR0sbVRMMTulqhs7MTfX19pmVeJXSsRhw9mZbr1kCT\nOK9PeiJYRZRqlcZqJBInQjFyVwsF/mYYZzeQO7YMo1HHmY2QsuNMl7LYcakgGYRIJGKQu2Qyabyc\nuzHqagciQuf1yKNTaHhCN2bMGAwNDRUsHxwcRCQScSQ6BxTafwHZG4snZ+JGiIR+yY1Ch7mt3Bro\nN0BVVZFIJEw1I432MBaBJh30GzhNOpyKLDQDuRCBHWc6Xeg0iWYbSJppnGlyV+0IaTUkc7yCYuNM\n1xTbJXeKoiAcDiOdThuNFbRHarWEjKuBVoTOGg1P6KZMmYI33nijYPmePXswefJkx/bDI3RuB0/o\nl7Tek5uG1KiU4tZQK0kGr4CXXuF1vZUyPo2U5nMKbETJiS5OkZtAM5ALEaqR/hYJ/rbGOT/OVtI+\ndsgdkZAiz3hSv0zIndNCxtVAi9BZo+EJ3Zw5c3D11Vfj3XffxTHHHAMAOHjwIHbt2oU77rjDsf10\ndXVh7969pmVuTLmWI/RLSBypnxMJ/RLduRaJE6MSAeMWibMPUY0Sm8bijVszR4hKhR1yV8wWju0W\nr7U0kRcgkvYhoty0jzKP3NGad4QUVVvIuBogRJVF677MouFlS9LpNE499VQcf/zxePjhhyFJEq68\n8kps3boVf/nLX8oSFuZhw4YN2LJlCxYtWmQsU1UVyWTSsX2UA5HQr8gei3VrAGBE8egHNE0u6IeN\n26QCvABaryqVSpnGU5JaBuxOQmSLRUzYWRLnlVSU2yAixYqimL4jhNDNUSE3Q2R/SEpkSAkC/cJI\nyJzIgowWMiYaoKIa6lpC13X09fWhs7PTdMyaphmap02C5pUt8fv9ePrpp/Htb38bJ5xwAmRZxokn\nnohnnnnGUaIlqqGrR4SuHKFfmsSRm52OxJGmhkQiYaxHohasRl0LpYFuJAkGgwaxSyaTAGBShm+R\ni8rARkhJ1I5ELfx+P9ra2pppcqgK2NpGktojzw5SsN96dlQGugEiFAoZZvXk2UHKENiOWSuXCkly\nRsjYaZB7tBWhE6Mp7qaxY8fi4Ycfruo+6k3oRCSOpC94JI51aygm9EsmQ0VRTPY2bhVM9RJ4tYek\nYYfUzaRSKU8JGLsRvFqtUChkROhIZKJ1TVcO3jXt9/uN51Q0Gm14m7dagCfAHQ6HIUmSqcO1XJcK\nto4vlUphcHDQRBZrcZ+06ueKoykIXS0wevRoYVNEtS7EUoR+AftuDeTBYGW5RSJ+5O2bRDnK8Rhs\nVthtIGHrZtwsYOxGsCROdE2zFm+VNq40I3juGLxr2k6hfwti8OoPec065MWQ14xFO/uQbbJCxizB\nK0XIuBq/mZcebiGPFqFzCB0dHRgYGDAtqzaJK0fol+fWQNdM0PUudoqT6cJa8oBpJK9Tp1FuF7CV\nxl2L3BWCbdYppeCeVvRvkbviKLdZR1To3yJ3fPC8agOBQNFrmi7pINc0Sc2KmleIBRkJANAdsyy5\nEwkZO60HaeXj2roXs2gROodAin1ZkLRrJRecSCOumNAvfWx2Lbcq6eQjekc0uSNdWOTmbraHM93w\n4JSUi1VnYa0EjN2IanRN0rWNbJTDrZ6htYDTgr8tcicG/awm192IESPKzoLwruliFmTkOEQuFTwh\n41gsBk3TjPuk0hdOUYdrC3m0CJ3DYMlbuXV0IhInkhfh1UIUs9wib1FOyzHQNzj9cG6WaFI1SJwI\nbPF5NQWM3Qi2y69a0hds4woZ61gsBgBN0eXNq9WqhpxLMYmOZiB3dlPXlYIn7yPy8bWjdUfuk3A4\nbIrcOSFkLPKibdT7rRy0CJ1DsLqo7BI6O0K/9LqiSBx90ZNOvnppl1mlChspmlRLEidCNQSM3QiR\nVMPIkSNrMsmz5I4cCyk1oMfa6+DVHwYCAWGdrtNoJnJXb5uzaliQ0eSuUiFjq5RrC1m0CJ2D8Pl8\nSKfTCAQCxrJiF1upQr/lujW4QYDWKprkRcLhBhIngpWAsRcbV0QkrpLUkxNgZSMagdzVKupZKhqR\n3LnVIYNnQZbJZBCPx8tyqSCfeULGdDTQSutO1BThlfmiFmgROgfR2dmJvr4+jBs3zljGplxFQr+i\n1BirEUcmEK9bbokIBwBXT4L0WBN5GLePNZsqpBtXvDLWbiJxItghd/UWZxWh3lHPUuFlcudWwiwC\nT7pENNbk+Udr3YnIHa11R2oECWHkCRmLUq4t5NEidA6io6MD/f39BYSOJnDlCP3SKR6e5RZ5ABPJ\nErcSCxFE6Su3PJhFk10kEvFUzRSdAmEJh5vGmo56AjBInNfGmkfuhoeHXTPWgLnrGoCrCbMILLmj\nx9pNLy2NONY0uWPHmkfugLxwPdmeJNkTMm5F44qjRegcBInQAeZIHEmrlir0y7o18EicFyc7EdhJ\nsJ66a1bRoUYe63pEOHipa9Ks04hjzXaA15rcsV2TXnw5EcFtKfBaNTfUAyIizY41q3NazKVCJGRM\nAhy0agPZRgtZNLyXay1xyy23wO/3Y/fu3fj4xz+Oyy67zLhIQ6FQwfoiEsfeAKyeFu2L2AzgFQtX\no5lCROIavXuRhqimpxpEWuQk0AiTnR2ItPKqQe54xKLZxlp0bzv9HK3V88qt4I01PWfRkTuaf7Dk\njt3mwMAAfD6fkeUiUliRSKRp5sIchBdRi9BViFgshieffBKrV6/G6tWr8ZGPfAQXXnghLrzwQnzo\nQx8yJEIIoSMkjoSPRUK/PGV7N6Ro6g2nJ6YWiRODnZhIV1olE1OzkzgRqnHPk8xAKpUyZIqaiViI\nUA1yV8sXIS9B1DhWjNyR+ZAmd/39/YbPMolyq6qKzs7OFqEjX7QIXfm48847ceutt+LUU0/FnDlz\nAADDw8P42te+ZqxD3+B0iJhH4ujJs0XiioMnuGnnoVzLt/VGQSXkgJfia5E4MURSIXaEuZs9OlQq\nKnmhEzU3tJ7ZYrAvdLQcihW5kyQJg4ODGDVqlGlsNU0zatGbCC1CB2QZ/gMPPIBly5YhkUhA0zQc\nffTRuOmmmzBt2rSC9ZcsWYKf/exnALIXzjXXXIMvf/nLxvdvvfUWOjo6MHr0aADAxo0b8cc//hGL\nFi0y1QqQm508lAlpoLV+aKHOZnRUqARkrFlLHPrB2iJxzsFOlLTZU3xOwU7kpxUdcgZ2yR1ZJ5VK\nub572c3gWcax5I5dh3Rdk/PRInRmNFVTxG9+8xvcddddeP7553H88cdD13V85zvfwac//Wls3LgR\nM2fONNZ95JFHcOWVV2LLli04+eSTsXPnTpx22mnQdR1XXXUVAODYY481bT8UCuH11183CBx5YyPd\nm0RUkdiE0RdxvXWHvAxe9yYZa/rGd7vshVfACpCSjjRN04xrm7x9h0KhFomrAGzhOZncSAegJEmG\nk4wdX88WxLBqqACy1z25tlvPkcrBE0InFmT0tU0UIchzhARK4vE4XnrpJZx77rn1/imuQVPd+ZIk\n4eqrr8bxxx9v/PsnP/kJFEXBvffea6yn6zquu+46zJ8/HyeffDIAYPLkyfjiF7+I733ve0bbOYsP\nfOADCAaDOPvss/GjH/0If//73yHLMt59913cd9996O7uNrZPauiIpVdrwnMOtNwL+TfRMGKdNFqo\nHHSdC50uYWtgWqgcdHSCHmsyxq2xdgakHIb8R8aadGfS13sLlYOW5mLH9rXXXsOSJUvQ29sLTdPw\n4osv4hvf+AbOPfdc7Ny50+SW1OxoqgjdddddV7AsGAya5EYA4E9/+hPef/99zJgxw7TuZz7zGfz6\n17/Gs88+i7POOqtgW8ceeyxWrFiBTCaD3/3ud7jyyitx4MABZDIZnHXWWTj//PPR3t5uPIxZbapy\nPe6aHaJuQTpaQaIbzeRzWi3QaRBST0c7kYgkDFppqdLBKydgBX/ZyF0r5Vo+itlv0UX+sVisVRNa\nIehrGyjU5iNEeu3atbj++usRCAQwefJkLFq0CGeddVbrecKgqQgd72br7+9Hd3c3vvrVrxrLduzY\nAUmSMHHiRNO6EydOhK7r2LFjB5fQAcCPfvQjLF26FL29vZgzZw5mz56NgwcPYvny5bj++utxySWX\n4JxzzkEkEinQASOpKye6CRsddkgcDVrfiOdzSshGa7z5YOs92YmOhldEdd2MUkRo2Wub9uBsNUUU\nRyn2W3QkqdE9k6sFWjzYSpuvu7sbq1atwpo1azBu3Dg8+OCDUFUVa9euxfz58zF58mR87Wtfw/z5\n8+v4a9yFpiJ0PPz2t7/FuHHj8K1vfctYRlKjbW1tpnXb29sBAD09PcLtjR49Gvfffz/+9V//1TRh\nXXnllXj33XexZMkSnHvuufjoRz+KSy+9FNOmTTN1tLKRpNYDIo9SSZwIPNuxViSpELxoBRH8tXst\nWolFl9K92QzgdQOXKkJLK+sTckfqklrkLg8n7Lda5M4+eKSZ90KYSCSwYcMGLFu2DNFoFPPmzcPa\ntWvR2dlprDNv3jwkEgls3rwZqVSqHj/HtfB0l+vmzZsxa9asouvNmDEDzzzzTMHyv/71r5gxYwZW\nr16NT33qU8byH//4x/jP//xPvPLKK/j4xz9uLH/rrbdw3HHHYdGiRfjxj39c9nFrmoZt27Zh8eLF\nePnll3HGGWdg/vz5+MhHPmK6uHnh6GYjG7XS5GtJEGTB056rRvqOVoGv5n7cjlp1A9vpKGwG8CKf\nTne629Vea3TYfaZqmoaXX34ZjzzyCHbu3IlzzjkHn//85zFx4sSmGasS0ZhdrtOmTcPu3buLrheJ\nRAqWvfvuuzjvvPPwwAMPmMgcAIwZMwYAMDQ0ZFo+ODgIAIZMSbmQZRmnnnoqTj31VKTTaWzYsAG3\n3347Dh48iAsuuABz587F6NGjIcsyQqGQKZLUDPV2IhJXzQ4+q0hSo5MNEYmrZue1Vfdmo0eS6JQT\nrwaxGhB1FNI1d4063rW236Ijd3TJQbNE7orVxQHZe+Dtt9/G0qVLsWnTJpx88sm48sor8S//8i9N\n9QLtNDxN6EKhED7ykY+U/HfvvfcezjrrLNx55504//zzC76fMmUKdF3HO++8g+nTpxvL9+zZA0mS\nMGXKlIqOm4bf78d5552H8847D319fVixYgW+9KUvIRKJYN68eTj77LMRCoUavt6uHiROhGYgG6II\nWT3kc3j1jY1GNnikudokTgQrctcoZKNYc0Mt0Qzkzm5dXG9vL1avXo01a9agq6sLCxYswM0334xg\nMFjHo28ceDrlWg4Imbv99ttx4YUXGsvPP/98rF27FkD24vzgBz+ImTNn4sEHHzTW+cY3voFly5Zh\n7969CAQCVTtGXdexZ88ePPzww1i/fj0mT56MSy+9tKAuT9d1403Ii+KtXrM487pYrqj42601bI06\n3m6N9LbGu7bwug0eb7x5wYVkMomnnnoKjzzyCPr7+3HxxRdj3rx5FWe6mhgtpwgAhhTJSSedZIrM\n6bqOm266CW+//baxbNmyZbjiiivw4osv4qSTTsLOnTtx+umn4+677za5RVQbmqbh//7v/7B48WJs\n27YNM2fOxPz58/HhD3/Yk/V2vEgFefC67VitUItaHCfgNdIsAm/yc2NnsqhxpxHG241ko1FqX700\n3vRcY1UXt23bNixduhSvvvoqZs+ejcsvvxzHHXecq36PR9EidABw7bXX4p577uF+96EPfQhvvfWW\nadnSpUvxk5/8xFCn/uY3v4krr7yyFofKRTKZxPr16w2RxQsuuAAXXXQRurq6jHV4D7h619uJarTc\nGhkqBXZsx+pxTI1AKkTgWS/Vk0w3CqkQwY1ko5Htt1RVNe5ftzSw2PHN1nUd//jHP/DII4/gySef\nxJQpU3D55Zfjk5/8ZEOcFxehRegaDT09PVi2bBlWrFiBjo4OXHrppTjrrLNMtQhsnVQt678amcSJ\nQCZ28uAjshy1INONTuJ44Hlv1opMiwR/3RildRL1jJSSlHAqlXJ1lNZJ1LM7ma2LE4mxDwwMYM2a\nNVi5ciXa2tqwYMECnHfeeQiFQlU9viZGi9A1KnRdx9///nc89NBD2LhxI0466SRceumlOOWUUwpC\n4NWuj2lGEicCr+nA6eaVRo8MlQKaTFeT0LKEhiaQjUoqeGClOQCYxtvpZ0oxUtEMqAW5s1sXl06n\nsWnTJixduhSHDx/GRRddhPnz52Ps2LGOHEcLlmgRumaApmnYsmULFi9ejB07dmD27Nm49NJL8cEP\nftB0M/Lqv8pNV9RKt8zLcHJSqmdUyitwujieFxmqd8rRTXA6WlmLlyGvw0lyV0pd3Pbt2/GHP/wB\nf/7zn3HmmWdi4cKFmDRpUuu81BYtQtdsSCQSWLduHZYsWYKhoSHMnTsXF154IUaNGmWsU269HWsD\n1SJx9lFO2ohH4pohvecEyhUw5k2YzRoZKgXlXqu8CGu9a3+9Ap63sh1yxz6LRHVxe/fuxbJly/DE\nE09g0qRJWLhwIaZPn9569tQPLULXzDh8+DCWLl2KVatWYezYsZg/fz5mzpwJv99vrFOs3q5F4pyH\nVWF3i8Q5D542GX2NF/u+hdJQ7Bp2Y0OR11GM3NnNFgwNDeHRRx/FypUrEQwGcdlll+H888/HiBEj\n6vjrWsihRehayD5gd+/ejcWLF2Pz5s049dRTMX/+fEydOpVbb0duevIgaJG46oBtpqDHlvfW3ELl\naF3jtQVN7sgLDEHrGq8OrK5xXgo7k8ng2WefxdKlS/H+++/jwgsvxIIFCzBu3LjWveAutAidEzh8\n+DC+/e1v45VXXoEkSTjxxBNxzz33YMKECfU+tJKhqir++Mc/YvHixdi9ezfOPvtszJs3D36/H2vX\nrsXg4CC+8pWvwOfLmonQheaNIg/gBvB8H8nE1oqEVgc8bT5JkqCqKgCzpmBrzJ0Bm8Kmr3GvaiO6\nHexLoizL0DQNqqrilltuwbRp0zB79my88847+MMf/oCtW7dixowZWLhwIU488URPXvuNNEdboDG9\nXGuJdDqNmTNnYtKkSdi1axcA4IorrsAZZ5yB1157jesX62YoioIzzjgDZ5xxBt5++23cdtttmDZt\nGhKJBE4//XQsXLgQ7e3txk1Nv2E3g59stcGTf4hEIqZauka1HasHRF2wrLUca83UrF2sTsCO/RZN\nrpPJZFN3ajsBXl0c66OaSqUwceJE/OpXv8LVV1+NsWPH4vLLL8emTZtMNdZeQ6PN0eWgFaGzid/+\n9re4+uqr8fbbb+ODH/wgAODgwYOYMGEC7rjjDlx77bV1PsLS8fLLL+OGG27AX/7yF3z2s5/F3Llz\nMXXqVDz66KNYs2YNJkyYgPnz5+OMM84wInVAffXtvIxKBFq9bstUD1TSEUxHTt0iYOwFVNJh3Ixa\nik6AJs6qqgrr4qLRKNatW4cVK1ZAkiTMnz8f06dPx+bNm7FixQq89NJLmDlzJu69916MHz++jr+o\nPDTiHC1AK+VaKc4++2zs3r0be/bsMS2fMmUKRo4cia1bt9bpyMrHW2+9hddffx2zZ88uEIHUdR2v\nv/46Fi9ejOeeew6nn346LrvssoJQPI9oNLrYZymohsq+V2zH6oFqELGW3p81qjE+jWJZVy3YJc6q\nquKFF17AH/7wB7z99ts4//zzsWDBAkyYMKHg+dPb24t169bh0ksv9aQocCPO0QK0CF2lmDBhAj76\n0Y/imWeeMS0///zz8cwzz2BoaKhOR1Z9qKqKZ555BosXL8Zbb72Fc889F/PmzSsolmWLnpu1Y61W\n0bQW0cijVg4GtRIw9gJqZcEmIi/NKFhO18WJrj1d17Fr1y488sgjeP755/HJT34SCxcuxNSpUxv6\nJbuJ5uhWDV2l6O7uximnnFKwvL29HbFYDMlk0mS71UhQFAWzZs3CrFmzMDQ0hDVr1uDrX/86dF3H\nxRdfjPPOO8+o01AUBcFg0HjwkLqYRq+345G4UChU1ZSoJEnw+Xzw+XwIhULGpJdIJJqimYI35uFw\nuGZjThONZhtzWkdxxIgRVY3I02SRLveIx+NNOea8ujhd13Ho0CGsXLkS69atw4QJE7Bw4UL85Cc/\nMZXLNDKaeY4maI4z3YJjaGtrw8KFC3H55Zdj7969WLJkCS644AJMnDjRqMlQFKVg0iMP4Eaqt+OJ\nz7JF37UCO+k1ajOFV8a8kdwNaO0yom1WbeIsQrExbxRyx2so4Y15PB7H448/juXLlyOdTmPevHl4\n/PHHPd3c0EL5aBE6mxgzZgw3ZDs4OIhIJNLwzJ+FJEk4+uijsWjRIlx33XV47bXXsHjxYvzgBz/A\n9OnTMX/+fBx//PGmBzCZjJPJpEE0vFZv5yZCIQJJdwcCAe6Ye62Zwk63ZL1BjzlNgGKxmCcJNc9h\nwwtj7mVyx+pRkt8Qify/9u49LOoyb/z4ewaYAREND2CmFvbkMe1ZTd3LVMpE9gAAIABJREFUSTQ0\nxUMqhsKA4Fbbs+6Vme32PGS/Dc2sdrfymK3t81zts47AiIyHiJYARVPUdrNSeTJsQ9NNZANRZDgN\nzPf3hzsTh8FQgTl9XtfV1dV3vjT3fOd7+Mx9f+7P3a1VasuRI0dIS0ujqKiIOXPm8M477zBo0CC3\n+aydQZ7RkkPXbjNnzqSoqIji4uJm2z0w4fK2NDQ0kJOTg8Fg4MKFC8ybN4/o6GhCQkLcNt/OtkpG\n0x4Kd3tAA82q8re11I+ruNUlu1yNOy0h5inLb7nbih8t68U5uhcqisLXX39NWloa+/fv56c//SkJ\nCQk8+OCDLnnPdAYvekbLpIjbZZsSffbsWQYNGgRcnxI9YMAAfve73/GrX/3KyS10PVevXsVkMmE0\nGvHz82PRokXMmTOHgIAA+z4tHyJNZ7M58+brbg+Fm9XyIeIKBaMdzWy0DVt6wkPLUf6Zs3tLPX35\nrZZLFrrKddyedVThel6YyWRiz549hISEkJCQQGRkJBqNxkktd11e9IyWgO52WSwWxo0bx/Dhw9m+\nfTsqlYonn3ySI0eO8Pnnn3tF0cJbpSgK58+fZ/v27XzwwQcMHToUvV7PxIkTWyX2OjOIavn+7tor\ndDOcPVPW2e/vLM4uPeNOvbUd5VYXse8oju5vjnpra2tryc7OZseOHVRVVbFo0SIWLVpEcHBwp7fR\nnXnRM1oCuo5gW1bkb3/7G2q12lOXFelUVquVTz/9FIPBwLFjx4iIiECv13Pfffe1q75dZ5RE8LYg\nri23UxT2Zt/H0aLtzu4hdAZHPWSdFdxJceofOBoK74zgrq28uJbXlNVq5ZNPPsFoNHLy5ElmzZrF\n4sWLGTx4sNd9N7fDS57REtAJ11NfX092djYGg4HS0lKioqJ47LHH6NOnT7P9OjrfToK4H9cZvaXO\n7pVydZ1VoNeTUwc6QmfkObbnnqUoCsXFxRiNRnJzcxkzZgyJiYn89Kc/9bofNuKmSEAnXFtFRQU7\nd+5kx44dBAYGEhMTw8yZM5tVLG/vr11Huqr3yRPdTs9Oy6E9d5zZ7Ay3swyWnOu37nbP9ZY5ko5G\nFS5fvsyuXbvYvXs3wcHBxMfHM2fOHK+YhSk6hAR0wj3YfrVu376dDz/8kFGjRqHX65kwYUKrX7c/\n1vPg6Un2ztCeXjYZ2utY7QnQvDUXsTM5+jHS8jxub15cfX09OTk5GI1GKioqiI6OJjY2lt69ezvr\n4wn3JQGdcD9Wq5Vjx45hMBg4fvw4jzzyCLGxsa3ySpr+MrYNmcD14EMebJ3DUR6cWq22b5ehvc7R\nMoCwBQ6NjY2dmn/n7Zqe603vMTdK2bBarRw/fhyj0cjx48eZMWMGCQkJrfKFhbhJEtB5qhMnTrBl\nyxYOHz6Mn58fjY2NTJ06lZdeeqlZLprZbCYpKYm8vDx8fX0ZMGAA69atY8SIEU5sffvV1dWRlZXF\n9u3bqaioICoqigULFtCrVy/q6+vZv38/Q4YMoXfv3qhUKhRFQaVSodVqJZjrJC2DC9txt/WEyhBf\n52j5A8Z23D1pdQpX1DQvzkZRFIqKigB48MEHUalUnD9/HqPRyEcffcT9999PYmIiDz30kMvfg7zl\nWeIBJKDzVMOGDWPUqFEYDAb8/f0pKSkhIiICRVE4ceKEPS9j5syZmM1mcnNz0Wq1JCcns3XrVk6c\nOMGdd97p5E9xc8rLy0lJSeG9996joaGBkpIS7rnnHt544w3Gjx/frKfoVvLtRNt+bPhPkvA7x48d\nVxnm7hw3mm1vm6Gcnp7Oa6+9Zr8eBg4cyC9/+UvmzZvXrOamq/PGZ4mbkoDOU40YMYKsrCzCwsLs\n29577z2eeuopMjIyiIqKIjc3lxkzZpCfn8/kyZOB6zV7+vXrR1xcHJs3b3ZW82/aoUOHSEtLw2Qy\nMXDgQCIiIlCr1ezfv5+xY8cSGxvL2LFjfzTfzlWr9bsiRwn67clFlCDj9tzq5Ib25H6JtrX3R4nF\nYmHfvn2kpqZSWlpKREQEly9fJisrC19fXxYtWsTixYsZNmyYEz9N+3nbs8SNtXkRy1qubu7kyZP2\nfA6b/v37oygKFRUVAJhMJjQaDTqdzr6Pn58fOp0Ok8nkVhehLZA7cuQI9957r3271Wrl8OHDbNu2\njf/6r/8iMjKSmJgY7r77bodrm9bU1NxwJpq3ayvJ3t/fv91DR2q1Gq1Wi1artQcZtuPuDYVsb4Wj\n5bdu5bj7+/vj7+9v/w5ramoAKRXTlrZWrGm5jqrVauXEiROkpaXxySefMG3aNNasWWNftxpg06ZN\nfPrpp6Snp7Nv3z63Cei87VniiSSgc3MtL0CAoqIi1Gq1/RfUqVOn6N+/f6t9w8LCyMrKoqysrFXt\nN1e1YcMGh9vVajXh4eGEh4dTU1NDZmYmK1eupKqqiscee4yoqCh69uzZLMiwPezMZrPHLXl0K9oq\nchsYGHjbAYAtyGga3Mlx/4Gjpdi6d+9+28fEx8cHHx8fh+e7txZzbspRvbiWwbOiKHz33Xfs2LGD\nDz/8kKFDh7JkyRI2btzo8LpQqVSMGzeOcePGdeVHuW3e9izxRBLQeRir1cp7773Hz3/+c3sPVllZ\nGUFBQa327dGjB3A9J82TLsKAgAD7cjn//Oc/SUtLIyYmhpCQEOLi4pg6daq9l6Lpw66+vp7a2lqv\ny7dzVIqkI4I4R1QqFT4+PgQEBNh7kOrr66mrq3PbxeBvlaPltzrzuPv6+uLr69us566qqsrrZoI7\nSgVwdNyvXbvGnj17yMjIQKPREBcXR15eHoGBgU5qedeSZ4n7kYDOw6xZswaNRsP69eud3RSXEBIS\nwrPPPsvy5cs5ffo0BoOB119/nQkTJqDX63nggQdQq9X2h13T/JmamhqPzbdzVAQ1ICCgSz9n0yDD\nli9mG5b11BmbjoIJZx53f39/e55ebW2tx85QdpQXp9VqW51fDQ0NHDhwgNTUVP7xj38QFRXFtm3b\n6Nevn0cdj/aQZ4n7kYDOg/zpT38iIyODgwcPNptd1adPH0pKSlrtX1lZCeAVxS1VKhUjRozg9ddf\nZ+3atXz88cf893//N0VFRcyaNYuYmBjuuuuuG+bbuXvelysEE21pWkPN9vCtq6trFty5QjtvRXuD\nCWdoedxbBtXu3FPd3rw4RVEoLCwkLS2NgoICJk+ezIsvvsioUaPc8nN3BHmWuCcJ6DyEwWBg/fr1\n5Ofnt7qoRo8ezfHjx+1FMG3Onj1LaGio13WR+/j48PDDD/Pwww9jNpvZs2cPzz33HPX19URHRzN/\n/nyCgoJa5du5Y96XLZior6+3F/x1lWCiLe2ZxOLqS4e1NUO1ZTDhShwF1U17qt2l/Ex78+JKS0vZ\nsWMHmZmZDB48mMTERN58802HuWTeRJ4l7kvKlniA7du38/vf/559+/bRt29fALKysrh48SJPPfUU\nubm5REZGkp+fT3h4OPDDVPP4+Hg2bdrkzOa7BEVRuHTpEqmpqezevZsBAwYQFxfHlClTmt243KG+\nXcseIU8Zvmz5oHa1pH5PXX7L0eL1rhbctVUvrmXgbzabyczMJD09HQC9Xs+CBQsc5oV5I3mWuAWp\nQ+epUlJSeOqpp1i7di2hoaH27YcOHaJ///4kJycDMGvWLMxmM9nZ2QQEBLBq1Sq2bt3KF198IcUg\nW7ANwWzbto0DBw6g0+nQ6/Xcf//9rYZqXKW+nTctyO5qgVN71rf1FK5UW7DpEPGN6sU1NjZy6NAh\nUlNTKS4uZt68ecTHx9tTLMR18ixxGxLQearevXtz5coVh6+tWrXKfhFWV1eTlJRETk6OfbmWDRs2\nMHz48K5srttpaGggPz+fP//5z5w9e5Y5c+YQExNDaGhom+vJdlW+XVs1y9y9R+hmOCuQdaXAxlma\nBrJdNRzu6Jx3NIlDURROnz6N0Wjk4MGD6HQ6EhMT+clPfuI138/NkmeJ25CATojbde3aNXbt2kVa\nWhoAixYt4tFHH21VxqDpkGxHB1mu1jvlSjp72TFZ1swxW/3ClsPhHfmDxlFeXMtzXlEUvv/+e3bu\n3MnevXsZMGAACQkJTJ8+HT8/vw5phxAuQAI6ITqKrdBoSkoKe/fuZfDgwcTFxTFp0qRmD7CO6j1q\nq+Cvpw7rdYSO6kHzpqHsjtDyB8ftTCBqb15cTU0NWVlZ7Nixg/r6emJjY4mOjqZnz54d/fGEcAUS\n0AnRGRRF4fPPP2fbtm32kgexsbHNlgKy7Wd7ODU2NrarFEfLIa2mD0YJJtqvrePYVjAsvaAd41ZS\nAtqbF2e1WikoKMBoNHL69GnmzJnD4sWL7Uv9CeHBJKATrmvSpEkUFBRw7tw5Bg0a5Ozm3DKLxUJO\nTg4Gg4HvvvuOuXPnEh0dTUhISLvz7RwV/PW23KzO4qins2mQ7OqzaN3ZjXo6gVYBdFt5cV9//TVp\naWnk5+czfvx4EhISGDdunFt8R55ynxNOJwGdcE0mk4mFCxeiUqk4e/Zssxud2WwmKSmJvLw8e/Lt\nunXrGDFihBNb3D5Xr14lIyODHTt24OfnR0xMDLNnz25WpBOuP8jq6ursMyQBj12dwpXYeo/q6upo\naGiwb7fVv5Ne0M7TsjYiNK892DI4Kysrw2QysXv3bkJDQ1m8eDEzZ85Eo9E4o/m3xFPvc8IpJKAT\nrsdisTBy5EiGDh3Khx9+2OpGN3PmTMxmM7m5uWi1WpKTk9m6dSsnTpxwm+nxiqJw/vx5tm/fTmZm\nJsOGDUOv1zN8+HA++OADcnJy2Lx5s73wqdVq9ajaca6oaUBhq6umVqtpaGhoNhwux77jOcqLU6lU\nNDQ0UFxczBtvvMHChQuZPHky+fn5GI1GzGazfW3m4OBgZ3+Em+YN9znRpSSgE65n/fr1HD9+nPvu\nu481a9Y0u9Hl5uYyY8YM8vPzmTx5MvBDAcu4uDg2b97szKbfkqqqKjZt2sT//M//UFJSwoMPPkhU\nVBSPP/44Wq3Wvp+jgEN67G5Py9ystoI2OfYdr715cWVlZbzzzjtkZ2dTVFTE8OHDee6559Dr9W69\neoO33edEp2vzRuT6iQfCI12+fJk333yT119/3eHrJpMJjUaDTqezb/Pz80On02EymbqqmR2irKyM\n+Ph4BgwYwMGDB3nppZf49ttvef755zl69Cjz5s3j3XffpaysDPhh+Kl79+50794dHx8fampquHbt\nGrW1tfZhKnFjtkCiurqayspK6urq8PPzo0ePHgQGBjqcqXqjY19TU0NjYyM/8iNY8MOxtx27pse+\nW7du9mOvKArffPMNr776KtHR0Vy5coUtW7bw1VdfERcXx8aNGxk4cCC/+tWv3PK4e9N9Tjif+/7s\nEW5tzZo1JCYmMnDgQIevnzp1iv79+7f6ZR4WFkZWVhZlZWVus27gHXfcwaRJk1i/fj0hISH27fPm\nzWPevHlUVFSQnp7O448/TmBgILGxsURGRtqHYbVarX1dU9t6sjLz0rG2Jj60XMuzPVqu5WuxWOxr\n+cqECcccrZrRvXv3VsepoqKCXbt2sWvXLoKDg4mLiyM5OblZT/Xzzz/P888/z5kzZ/jrX//qlj2k\n3nSfE84nAZ3ocl9//TUZGRmcPn26zX3Kysocrq/Yo0cPAMrLy93mRufr68vSpUvbfD04OJhf/OIX\n/Md//AfFxcUYDAY2btzI6NGjiY2NZcKECajVanx8fAgICMDf398+Y7C2tlZyvnBcmiQwMLDD6vT5\n+Pjg4+PTLLirqqqSwBrHeXEBAQGthqnr6+vJycnBaDRy+fJlFi5cyM6dO3/0Oh4yZAhDhgzp7I/R\n4bztPiecTwI60eVeeOEFVq5cKQtit6BSqbj33ntZvXo1ycnJHD16FIPBwIsvvsi0adOIjY1l8ODB\nzQoL23K+6urqqKmp8aqcr/YGEh1JpVLh6+uLr6+vw8DaW4oOO8qL02q1DuvFHT9+HKPRyPHjx5k+\nfTqvv/46Q4YM8fhjJPc50dUkoBNd6tChQxQWFpKenm7f5ig3pk+fPpSUlLTaXllZCVxfd9CTqdVq\ndDodOp2Ouro6MjMzWbVqFRUVFURFRfHYY48RHBzcrNyDbaixpqamy9aT7WqOlt9yFEh0BUeBtcVi\noaamxiOXBXNUcFmj0dCtW7dWE0vOnz+P0WgkOzubUaNGkZCQwJYtW7ymF1Puc8IZJKATXSovLw+r\n1cq4ceOA6ze5S5cuATBr1iw0Gg2vvfYao0eP5vjx4/YZiTZnz54lNDTUq4YhtFot0dHRREdHU15e\njtFoJD4+nl69ehEbG8v06dPt+Vz+/v5otVqPyrdrqyhty0DCmVoG1k17Td29OHTTnERoOy/u6tWr\n7Nmzh4yMDAIDA4mPjycpKYlu3bo5o9lOJfc54QxStkQ43csvv8yaNWs4d+6cPXk4NzeXyMhI8vPz\nCQ8PB36Yzh8fH8+mTZuc2WSnUxSFM2fOYDAYyMnJYezYscTGxjJ27NhWC5a3DIbcId/OU5bfcjRJ\nwB16TRVFsQdxN1oL12KxsG/fPtLS0igtLeWxxx5Dr9fTt29flz6/nEHuc6KDSB064bpWr17NK6+8\nQnFxMXfffbd9+6xZszCbzWRnZxMQEMCqVavYunUrX3zxhRTcbMJqtXLo0CEMBgOnTp0iMjKS2NhY\nBg0adMMaa67Yc+Spy2+5Q4Da3lp9VquVkydPkpqayieffMLUqVNJTExstX6xaE7uc6KDSEAnXM9f\n/vIXXnzxRUpLSyktLWX48OFoNBo+++wzAKqrq0lKSiInJ8e+JM6GDRsYPny4k1vuuqqrq8nMzCQl\nJQWz2Ux0dDTz58+nZ8+ezfZzNIzmrJ4jR+vXevLyWzda17SrP29beXGO1lH97rvvSE9PJysri6FD\nh5KYmMjkyZNdvrfR2eQ+JzqYBHRCeBNFUfj+++9JS0vDZDIRGhqKXq9n6tSp9gXRbfs5o+eo5Xqe\n3rp+raNJHl0xmcJRQO+oJ/TatWvs3buXjIwM/Pz8iIuLY/78+QQGBnZa24QQNyQBnRDeSlEUTp8+\nzbZt29i3bx8TJkxAr9fzwAMPdGm+XXuH9LxVyzIsHV2Cpr1D7g0NDRw4cIC0tDQuXLjA/PnziY+P\np1+/fvI9CeF8EtAJIa7nqB08eJBt27ZRVFTErFmziImJ4a677uqUfDtbD6AtiGtrSE8017QHrekw\n9M0Ob97MGrb/93//R2pqKgUFBUyePJnExERGjRol35MQrkUCOiFEc2azmT179pCamkp9fT0LFy5k\n3rx5rQqh3my+XVvLb7nSBAB3crMTRdoaRtdoNK2CuNLSUtLT08nMzCQsLIzExEQiIiJaLUUlhHAZ\nEtAJIRyz1chKSUlhz549DBw4EL1ez5QpU5o92H8s365lr5InFjZ2pps5/tB2XpzZbCYzM5OdO3ei\nKAp6vZ4FCxbIigZCuAcJ6IToCCaTiU2bNlFdXc3ly5fp1asXK1asID4+Hrj+sExKSiIvL88+Y23d\nunWMGDHCyS1vH0VROHXqFNu2bePgwYPodDri4uIYOXJkq96dpkN5Nt46uaGr3ezxb2xs5PDhw6Sm\npvLNN98wd+5c4uPjGTBggNt8T55+7QnRThLQCXG71q9fT0pKCpmZmdx55500NjayZMkSNBoN7733\nHgAzZ87EbDaTm5uLVqslOTmZrVu3cuLECberKdXQ0MD+/fvZtm0bZ8+e5dFHH2XRokUEBgaSmZnJ\nV199xa9//Wt8fX1Rq9U0NDTY871crb6dJ3E0eUWtVtPY2EhtbS2rVq1i7ty5PPzww3zzzTcYjUYO\nHDiATqcjISGBMWPGuN334m3XnhA3IAGd8AzvvPMOJSUl+Pj4sHr1agD279/PunXr+OCDDzrtfc+d\nO8ewYcM4cuQIY8aMsW+/dOkSFy9eZMyYMeTm5jJjxgzy8/OZPHky8EPV97i4ODZv3txp7etsFRUV\nrF27lrS0NCorK/n3f/93Fi9eTEJCQquis+0Z9hM3p73lZaqqqtiyZQsmk4kLFy4QGhrKL3/5S55+\n+mk0Go0TP8Gt8/ZrT4gW2gzo5C4r3MahQ4cYMmQI4eHhvP/++/bte/fupV+/fp363gaDgeDg4GYP\nFIB+/frZt5lMJjQaDTqdzv66n58fOp0Ok8nUqe3rLN9++y3Lly9n2LBhFBQU8MILL/Dxxx8zZ84c\ntm3bxtKlSzlw4ACNjY0A9vVku3fvTkBAAIqiUFVVRVVVlb1wsGg/q9VKbW0tVVVV1NTUoFKpCAwM\npHv37mi1WnswV1NTQ0ZGBk888QRHjhzhueeeY9++fej1erZs2cKoUaN4+eWXqaqqcvInunnucu3V\n1NTw+9//nk2bNpGQkEBBQQFvvfUWCxcu5PTp013SBuHdJKATbkOlUjFt2jRSUlKYO3euffvBgweJ\niIjo1Pc+evQo99xzD7t27SI8PJwRI0ag0+n405/+ZN/n1KlT9O/fv9UMwbCwMEpLSykrK+vUNnaG\nhoYG+vTpQ0FBAceOHWP58uWMGTOGF154gYKCAp577jlycnKIiIggOTmZL7/8EkVRUKlU+Pr6EhAQ\nQFBQEFqtFovFQmVlJWaz2T5xQrRmW0fVFggrikJAQADdu3fH39/fPsnEarVy+PBhnn76aWbPns35\n8+d5++23ycnJ4cknn+TBBx/k5Zdf5uuvv8ZgMFBdXY1Wq3Xyp7t57nLtbdy4kWeeeYbly5dTVVXF\nu+++y4oVK8jNzeUf//hHp7+/EDI3XbiNhx56iKqqKnbu3MmpU6eA60OBhYWFnR7QXbhwgXPnzvHW\nW2+xZ88e+vbtS0ZGBnq9nkuXLrFy5UrKysoczhTs0aMHAOXl5fTp06dT29nR7r33XpKTkx2+plKp\nGDNmDGPGjMFisZCTk8Obb77Jd999x7x584iOjrYv0m4bHrTVt6urq6Ompkby7f7FUV6cVqt1WC/u\n73//O2lpaezfv5/x48ezdOlSxo0b1+awtkqlYvz48YwfP76rPk6HcodrT1EUwsPDCQgIAOCrr75i\n/fr1+Pj4cOXKlU57XyGakoBOuJWCggLuuusuBg8eDMDHH3/MkCFDOn3Itba2lurqat5880369u0L\nQHR0NEajkddee40VK1Z06vu7Oj8/P2bPns3s2bO5evUqGRkZPPXUU2i1WhYtWsTs2bMJCAiw16TT\naDT2fLuamhr7/8Ob8u1a1uuz5cX5+/u3Ogbl5eVkZGSwZ88eQkJCWLx4MWvWrHHbvLib4Q7Xnkql\nYuLEiQBcvHiR4uJiJk2a5ORWCW/jHXdO4TGqq6vtv7oBjEZjp/fOAfZf/w888ECz7T/5yU+orq7m\n9OnT9OnTh2vXrrX628rKSgB69+7d6e10BT179uTJJ58kJyeHt99+m/PnzzN79myefvppDh8+jNVq\nBbw3365pXpzZbG4zL66uro69e/ei1+tZsmQJAQEB7N69m507dzJv3jyvCObAfa492/mal5fHmDFj\n7OvdFhQUdPp7CwES0Ak3M2vWLIYMGcLmzZvZuHEjH3zwQZcEdMOGDQOwByM2TfOZRo8ezcWLF5vV\nBQM4e/YsoaGhbjfcertUKhX33HMPv/nNbzhy5AhLly7l/fffJyIigpdffpkzZ878aL5ddXW1R+Tb\ntZUXFxQU1Cov7tixYzz77LNERkZSVFTEW2+9xb59+1i6dCm9evVy8ifpeu5w7ZlMJntplL179zJ0\n6FDgem28o0ePdup7C2EjAZ1wK7W1taSmpvLMM8+g0+nw8/MjMjKy09/30UcfBeDkyZPNtp86dYqA\ngABGjhzJggULsFgsHDlyxP66xWKhoKCA6OjoTm+jK1Or1UyYMIG3336bw4cPM3HiRF599VVmzZrF\nH//4R8rLywHs+XaBgYEEBQXh4+NDXV0d165do6amxl7rzh3Y8gWrq6uprKzEYrGg1WoJCgoiICDA\nnh+nKArFxcW89tprREREkJ6ezs9+9jOOHj3K6tWr+bd/+zevzi90h2vvrrvuIjw8nHXr1vHrX/+a\nuro6tm7dyrvvvsuyZcs6/f2FAKlDJ9zImTNnGDlyJIWFhQwePJjw8HCeffZZYmNjO/29rVYrEydO\npFu3bmRmZhIYGMihQ4d45JFHWL16NS+88AJwvQfRbDaTnZ1NQEAAq1atYuvWrXzxxRdS3NSBiooK\n0tPTSU9Pp3v37sTExBAZGYm/v3+z/ZrWYAPXzbdrKy/O0Tq2FRUV7Nq1i927d9OzZ0/i4+N59NFH\n3XImameSa0+IZqSwsHB/165dY+XKlYwcOZK///3vTJs2jZkzZ3bZ+1+5coWkpCQ++ugjAgIC0Gq1\nLF++nCeeeMK+T3V1NUlJSeTk5NiXH9qwYQPDhw/vsna6I1svlcFg4C9/+QujR49Gr9czfvz4ZoGQ\nowK7tjVjndmLZbVasVgs9ty/ttaxra+vJzc3F6PRSHl5OdHR0cTGxnrdcPzNkmtPCDsJ6IQQ7sFq\ntXL06FEMBgOfffYZ06dPJzY2lrCwsBuuJ2vrCWtZ6qOz2IZU6+vrsVqt+Pr6OlxH1Wq18tlnn2E0\nGvn000+ZPn06CQkJDBkyxKuHUoUQt0QCOiGE+6mrqyMzM5OUlBSuXr1KVFQUCxYsIDg4uNl+th4y\ni8WC1WrttPp2jurFaTQah/Xizp8/z44dO8jOzmbkyJEkJiYyadIklxsmFkK4FQnohBDuraysDKPR\niMlkolevXsTExDB9+vRW5Ts6Ot/uZvLirl69yp49ezCZTHTr1o24uDjmzp1Lt27dbu1DCyFEcxLQ\nCSE8g6IonDlzBoPBQE5ODmPHjkWv1zNmzJgOzbdrb16cxWJh//79pKamUlpayoIFC9Dr9YSEhMiQ\nqhCio0lAJ4TwPFarlUOHDmEwGCgsLCQyMpKYmBgGDRp0S/l2trw4i8VCY2PjDfPiTp48SVpaGseO\nHWPq1KkkJCQwYsQICeKEEJ1JAjohvNmnn35KcnIy3377Lb6+vviui+R5AAAHhklEQVT7+/Of//mf\nzWp0mc1mkpKSyMvLs88SXLduHSNGjHBiy9uvurranm9nNpuJjo5m/vz59OzZs9l+LfPtfH198fHx\nsffm+fr62gO+lsHexYsX2bFjBx9++CH33XcfS5YsYfLkya167VyRN5wDQniBNgM6yc4VwsN9++23\nTJs2jZCQEAoLCzlx4gRPPPEEixYtIisry75fdHQ0J0+e5MSJExQWFjJ+/HimTJlCSUmJE1vfft26\ndSMmJoa9e/eSmppKXV0dMTExLFmyhI8++sieU6dWq9FqtVRVVeHr64vFYqG2tpaGhgY0Gg1VVVVo\nNBp7MFdVVUVKSgpRUVGsWLGCe+65h5ycHP785z8TERHhFsGct5wDQngz6aETwsP94Q9/YNmyZXz+\n+eeMHj3avv2OO+5g9uzZpKSkkJuby4wZM8jPz2fy5MnA9dywfv36ERcXx+bNm53V/NuiKApffvkl\nBoOBffv2cf/99xMcHEx2djb+/v7k5eXZJzc0Njby/fffM27cOEaMGIFOp6O4uJiLFy8SFRVFXFwc\nd955p1sOqXrzOSCEh5EeOiG8la+vL4C9h8rGarXa18c0mUxoNBp0Op39dT8/P3Q6HSaTqesa28FU\nKhV33303I0eO5I477iAjI4PDhw8TFhbG/PnzKS8vR61Wo1Kp8PHxoby8nMTERHr06EFWVhbZ2dn2\nv3fnSQ7efA4I4S0koBPCw8XGxjJs2DDWrl2L2WxGURReffVV6uvrWbp0KXB9Xcz+/fvbH/w2YWFh\nlJaWUlZW5oym37a//e1vDBgwAKPRyJNPPklpaSl//etf2bFjB4MHD2bFihXMnz+fn//858yYMYON\nGzcyc+ZM3n//fQoLCykuLmbixImsXr2aQYMGce3aNWd/pFvizeeAEN7C98d3EUK4s6CgIPLy8nj8\n8cfp06cPQUFB9OzZk9zcXCZNmgRcr/EWFBTU6m979OgBQHl5uVsuTzV69GiKiooIDQ1ttr179+4s\nXryY+Ph4SkpK+MMf/sC7777b6hj07duXZcuWsWzZMi5cuODwGLkDbz4HhPAW0kMnhIc7c+YM48eP\nJywsjCtXrvDPf/6TtWvXEhUVxUcffeTs5nUqrVbbKphrSqVS0b9/f1555ZUfDdYGDhzY0c3rMt58\nDgjhLSSgE8LD/eY3v+Hq1ats2LABrVYLQExMDOHh4SxZsgSr1UqfPn0cDidWVlYC0Lt37y5ts+hY\ncg4I4fkkoBPCwxUWFjJgwAD7g9xmyJAhfP/995w9e5bRo0dz8eJFGhoamu1z9uxZQkNDZajNzck5\nIITnk4BOCA8XEhJCSUmJfTajzblz51CpVAQHB7NgwQIsFgtHjhyxv26xWCgoKGhWeFa4JzkHhPB8\nEtAJ4eGeeeYZKisrSU5Otm/Lz89n9+7dxMbG0qtXLx555BFmzJjBSy+9RE1NDQBr167F19eXlStX\nOqvpooPIOSCE55PCwkJ4gdzcXH77299y6dIlfHx8UKvVJCYm8swzz+Dn5wdcXzorKSmJnJwc+7JP\nGzZsYPjw4U5uvegIcg4I4RFkLVchhBBCCDcnK0UIIYQQQngqCeiEEEIIIdycBHRCCCGEEG5OAjoh\nhBBCCDcnAZ0QwqWUlJQQGRmJWu3c25OrtEMIIdpD7lRCCJexa9cuJk6cSHFxMSpVm5O5MJvNLFu2\njGHDhnH//fcTGRnJl19+2Wq/hoYGXnrpJYYPH87o0aN56KGHKCgocJt2CCFEe0lAJ4RwGW+88QZ5\neXnodLob7hcdHc3Jkyc5ceIEhYWFjB8/nilTplBSUtJsv2XLlrFz504KCgo4efIkjz/+ONOnT+fk\nyZNu0Q4hhGg3RVFu9I8QQnSZxsZGRVEU5Wc/+5miVqsd7pOTk6OoVCrlwIED9m319fVKr169lGXL\nltm3FRUVKWq1Wvnf//3fZn8/cuRIZc6cOW7RDiGEaKHNmE166IQQLqM9+WomkwmNRtOs98zPzw+d\nTofJZLJv27VrFwBTpkxp9vcRERHk5ORQXV3t8u0QQoj2koBOCOFWTp06Rf/+/fH19W22PSwsjNLS\nUsrKyuz7qdVqBg0a1Gq/hoYGh7lu7tgOIYQACeiEEG6mrKyMoKCgVtt79OgBQHl5uX2/bt26tZrU\n0HI/d2+HEEKABHRCCCGEEG5PAjohhFvp06cP165da7W9srISgN69e9v3q66uRlGUG+7n7u0QQggA\nVcubjBBCOJtKpfoTkKgoio+D1/4APA50VxSlocn294EHFUXp/6//TgJeA8IURTnfZL9NwC+AYEVR\nbjgjwVXaIYQQP0Z66IQQ7mYX4AdMtG1QqVR+gA7IaLLf7n/9e0qLv38Y+KgDgihXaYcQQkhAJ4Rw\nSW0uz6AoSi7wEfCKSqUK+Nfm3wANwOtN9jsD/BFYqVKpegOoVKrHgcHA/3OzdgghxA35/vguQgjR\nNVQq1e+BR4CB//rvz/710vimw5pANPA74AuVStUA/AOYoihK8yUaYBmwCihQqVT1wDXgEUVRTrlD\nO4QQor0kh04IIYQQws3JkKsQQgghhJuTgE4IIYQQws39f0LbC6tXe3R6AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_3D(x, y, h_nu_1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is the difference between numerical solution and analytical ones. We can see it is evenly distributed along y axis but fiercely fluctuating along X axis." + ] + }, + { + "cell_type": "code", + "execution_count": 334, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnQAAAGUCAYAAAC8xb/QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_3D(x, y, h_nu_1-h_an_1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "References:\n", + "\n", + "Dennis G. Zill. Differential equations. Belmont, CA: Cengage Learning. 2009. Print.\n", + "\n", + "John D. Anderson. Computational Fluid Dynamics. Mcgraw-Hill. 2007. Print." + ] + }, { "cell_type": "code", "execution_count": null,