{ "cells": [ { "cell_type": "raw", "metadata": {}, "source": [ "Text provided under a Creative Commons Attribution license, CC-BY. All code is made available under the FSF-approved MIT license. (c) Lorena A. Barba, Gilbert F. Forsyth 2015. Thanks to NSF for support via CAREER award #1149784." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[@LorenaABarba](https://twitter.com/LorenaABarba)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "12 steps to Navier-Stokes\n", "=====\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You see where this is going ... we'll do 2D diffusion now and next we will combine steps 6 and 7 to solve Burgers' equation. So make sure your previous steps work well before continuing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Step 7: 2D Diffusion\n", "----\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here is the 2D-diffusion equation:\n", "\n", "$$\\frac{\\partial u}{\\partial t} = \\nu \\frac{\\partial ^2 u}{\\partial x^2} + \\nu \\frac{\\partial ^2 u}{\\partial y^2}$$\n", "\n", "You will recall that we came up with a method for discretizing second order derivatives in Step 3, when investigating 1-D diffusion. We are going to use the same scheme here, with our forward difference in time and two second-order derivatives. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\frac{u_{i,j}^{n+1} - u_{i,j}^n}{\\Delta t} = \\nu \\frac{u_{i+1,j}^n - 2 u_{i,j}^n + u_{i-1,j}^n}{\\Delta x^2} + \\nu \\frac{u_{i,j+1}^n-2 u_{i,j}^n + u_{i,j-1}^n}{\\Delta y^2}$$\n", "\n", "Once again, we reorganize the discretized equation and solve for $u_{i,j}^{n+1}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$u_{i,j}^{n+1} = u_{i,j}^n + \\frac{\\nu \\Delta t}{\\Delta x^2}(u_{i+1,j}^n - 2 u_{i,j}^n + u_{i-1,j}^n) + \\frac{\\nu \\Delta t}{\\Delta y^2}(u_{i,j+1}^n-2 u_{i,j}^n + u_{i,j-1}^n)$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDAaDkUdY9QKDwWDkESa6DAaDkUf+P/LkGuDgdiwFAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7f300619da90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy\n", "from matplotlib import pyplot\n", "from mpl_toolkits.mplot3d import Axes3D ##library for 3d projection plots\n", "from matplotlib import cm ##cm = \"colormap\" for changing the 3d plot color palette\n", "%matplotlib inline\n", "\n", "###variable declarations\n", "nx = 31\n", "ny = 31\n", "nt = 17\n", "nu=.05\n", "dx = 2/(nx-1)\n", "dy = 2/(ny-1)\n", "sigma = .25\n", "dt = sigma*dx*dy/nu\n", "\n", "x = numpy.linspace(0,2,nx)\n", "y = numpy.linspace(0,2,ny)\n", "\n", "u = numpy.ones((ny,nx)) ##create a 1xn vector of 1's\n", "un = numpy.ones((ny,nx)) ##\n", "\n", "###Assign initial conditions\n", "\n", "u[.5/dy:1/dy+1,.5/dx:1/dx+1]=2 ##set hat function I.C. : u(.5<=x<=1 && .5<=y<=1 ) is 2\n", "\n", "fig = pyplot.figure()\n", "ax = fig.gca(projection='3d')\n", "X,Y = numpy.meshgrid(x,y)\n", "surf = ax.plot_surface(X,Y,u, rstride=1, cstride=1, cmap=cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "ax.set_xlim(0,2)\n", "ax.set_ylim(0,2)\n", "ax.set_zlim(1,2.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$u_{i,j}^{n+1} = u_{i,j}^n + \\frac{\\nu \\Delta t}{\\Delta x^2}(u_{i+1,j}^n - 2 u_{i,j}^n + u_{i-1,j}^n) + \\frac{\\nu \\Delta t}{\\Delta y^2}(u_{i,j+1}^n-2 u_{i,j}^n + u_{i,j-1}^n)$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "###Run through nt timesteps\n", "def diffuse(nt):\n", " u[.5/dy:1/dy+1,.5/dx:1/dx+1]=2\n", " \n", " for n in range(nt+1): \n", " un = u.copy()\n", " u[1:-1,1:-1]=un[1:-1,1:-1]+nu*dt/dx**2*(un[1:-1,2:]-2*un[1:-1,1:-1]+un[1:-1,0:-2])+\\\n", " nu*dt/dy**2*(un[2:,1:-1]-2*un[1:-1,1:-1]+un[0:-2,1:-1])\n", " u[0,:]=1\n", " u[-1,:]=1\n", " u[:,0]=1\n", " u[:,-1]=1\n", "\n", " \n", " fig = pyplot.figure()\n", " ax = fig.gca(projection='3d')\n", " surf = ax.plot_surface(X,Y,u[:], rstride=1, cstride=1, cmap=cm.coolwarm,\n", " linewidth=0, antialiased=True)\n", " ax.set_zlim(1,2.5)\n", " \n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXmUHOd53vurtbt6nQ0zAAYDYIDBxgWkLEayLNu59rlK\nFPqKjmWdRLl2aEs+tKIoWpIj27nWvb6yfI6sq5xcJ5LO8VFELXEkK851FNmxRMaOREoUbYo0JREE\nFxAgAGKdGczSe1d1bfePmuqp7unp6aV6pnvQzzkggV7q+6q66qm33vd5n09wXZchhhhiiCG2B+JO\nT2CIIYYY4nbCkHSHGGKIIbYRQ9IdYoghhthGDEl3iCGGGGIbMSTdIYYYYohtxJB0hxhiiCG2EfIW\n7w/1ZEMMMcQQ7UPY7I1hpDvEEEMMsY0Yku4QQwwxxDZiSLpDDDHEENuIIekOMcQQQ2wjhqQ7xBBD\nDLGNGJLuEEMMMcQ2Yki6QwwxxBDbiCHpDjHEEENsI4akO8QQQwyxjRiS7hBDDDHENmJIukMMMcQQ\n24gh6Q4xxBBDbCOGpDtE17BtG9M0Ga63N8QQW2Mrl7EhhmgI13VxXRfTNKlUKliWhSB4xkqSJKEo\nCpIkIYoioihW3xtiiNsdQ9Idoi0EybZYLCKKIoqiVInVMAwsy8K27ZrviaKIJEnVP0MyHuJ2xZB0\nh2gJQbJ1HKfhZwRBqP6RJKnmuwCWZWGaZs13hmQ8xO2GIekO0RSu6+I4DpZl4ThODbG2Soz+5+o/\n75Oxn6IIvj8k4yF2K4akO0RDNCPbsBDMAdePHcwXD8l4iN2EIekOUQPXdbFtG8uycF23KdkKglD9\nTP02usFm421FxrIsV4lYkqTQbxJDDBEGhqQ7BNCYbEWxfUWhT8S9wFZkXKlUNtwE6qPiIRkPsdMY\nku5tjrDIdifRjIwdx8G2bSqVSg3pBsnYJ+QhGQ+xHRiS7m2KsMjWjzL7sTEiSKL+/smyXEPGzSLj\nIRkP0QsMSfc2g+u6VR1tGJGtZVkbHusFQcA0zb4tcrUSGdfDJ2FZlmv2q9/2bYj+x5B0bxP4ZGtZ\nFkBXZOs4DoZhUC6XEUWReDyObdsIgkClUqkSl6/p9cfy//RrXrXVNEUQQzIeol0MSXeXoxHZdkoI\nPtnquo6iKESjUVzXRZIkHMepkg5ANBqtju84TvVPMDIOEnE/E1a7ZOzfZIZkPEQjDEl3l8In21Kp\nhOu6RKPRrshW13UMw0BRFFKpFJIkYRjGhg6z+jGCRav6+QXJ2I+Kh2Q8xG7HkHR3GeojW7/I1clF\nHSRbVVWrZFuPTrY9JON1MrZtG0VRGpoE9du+DdE9hqS7S+BfzPVpBEEQNvVKaLatVsi2F2iVjP3c\nMax3qdWTcb9hMxLVdR1RFDf8TvXStuD+DTG4GJLugMPPk/oV925ztu2QbS8bIRqNVU/GfhTvE3Gz\n4l2/ytp81JOpP9fgjdSHfyyCKQq/ODlE/2NIugOKVsm2FWJ0HIdyuUylUkFVVdLp9EBEU/4+18+1\nERn7f4JStn6JjBv9PluZBNWTsZ9+CZJxUGc8RP9gSLoDhmCeE7qPbMMm2+2MfpvNoZ6M/Ud4WZZb\nioy3m4zDcmyrb3ipJ+OhSdDOY0i6A4BGXratkm0jErRtG13XqVQqRCKRgYlsu0WQWIMIRsY+aQ1i\n8S74fx+bkTGspzSGZLy9GJJuH6Mbsm2EsMm2H6LaMBCMjGV5/ZLYLUqK4P99NMsZD+0ze4sh6fYh\n6r1sofs0QqFQwDTNnkW2u/GC3A5Z207dtLYiY3+VDz/695dkGpJx9xiSbh8hbONwP7L1L5rbJY3Q\nCGGSWztk7Bc669ug68mqX4irnoz9py3/vBkuudQ9hqTbB2jHOLwV2LZNuVzGNM1qhBKLxUKe9Xp6\nwY+GtkvL2yl6TQKbkXGQiBvdVIG+NQgKno+wdWQcxJCMG2NIujsIP1/rX3Ddkq1lWei6jmmaRKPR\nqhFNsVgMeeYefMLN5/MbmjAMw+gbSdZOo1nxzrZtDMPoKyVFO2iFjIdLLtViSLo7gGBkW6lUMAyD\nVCrV8fYsy6JcLmNZVpVse3kCB41vAJLJZPUxOniR+e2ug1R42i7UR49Bg6BWGz62g6w6bSEP7lt9\n08ftvv7dkHS3EWGv0lBPtolEYsMJGqbCwHVddF2vuozFYjF0XUeSpKq1o3+RqKpa8712Ck+3a94Z\nWmv4GFRZG3S3/l19u3c/7l8rGJLuNqAZ2XZCikGy1TStIdmGiXqy9duDfSP0rdCun8IgPV5vF3ZK\n1tZppNsutiLjRuvf1WuM+9WnuR5D0u0hWlmloR3S7YRsu4l0NyPbzT7b7sneiIzbebwelIusl9gO\nWdtOohUy1nUdVVURRZHnnnuOCxcu8Gu/9ms7MNvWMCTdHiDMVRrAq2z70q/N0ghhop5sk8lkTXTV\nCGHNp53H692QL+5VJBkGGUuStG2Rbruo/339aPf69essLy/v4My2xpB0Q0QnqzQ0i0RN06RcLuM4\nTsdk206k67pudRkeWZa3JNvNtt0LwX+3j9f97jK2XWhGxrZtb5C1+d+pP579RMTBG0Mmk2FkZGSH\nZ9QcQ9INAZ2QrY964vK35ZOtpmmoqtr1Sd4sYmmXbJthuy/GrSK6IJEYhlFdin2YL66FIAgbfnP/\nicc/PjutpGiE+htpPp9ndnZ2W+fQLoak2wU2Mw7vZlthk22z74dJtv2GejL299Ffz61Zvni49LoH\nf999hzIf/SZrC841k8mQTqd7Ola32B1X2DYjTLL1kc/ncV03NLJtBp9sfbnXbiLbZggSQhDBRoXt\nLjr1a860GVrJuweXJQoWkcO+qdUfv3w+P0wv7CaEuUqDr0ksl8sARCIRIpFIz4oq/mNYkGwTiURX\nZBumBngn0YxEmuWLB2GJoG7Rzk2h0+PYzU2tfn65XG4Y6e4G9JJsNU2jWCyiKErPLlo/sjUMIxSy\nvV2wWb44SCD98Gjd79hOWVs2m2V0dLSXu9M1hlfeJvAflcrlcvXHDptsfaItlUphTr1mTH/VWdM0\nicfjKIrSk7Hqx93NaJai2IyMG0XFg0DGvUx/hEHGjSLdYXphwBBsR3Qcp/ojdqqzbUa2PsJ+TPfJ\ntlwuVy/weDweuguYvw+maVaj6EEgkl6g00drH5ZlDRQZ9xKtKlKCsrann36ar371q9i2zfe//33u\nvvvuvo14b98m9zr4hRTfgKbeeq+T7RmGQS6Xo1wuo2kaqVSqYZEsLNL1x8xmsxiGQTweJ5VKVSOC\nsOEXEovFYlVS5EfWxWKRcrmMYRg1RHO7wScQRVGIRCJomkY8HicejxOJRKq/jWmalEqlDcet1Vbr\nXqGfCn3+sVRVlWg0SiwWQ1VVJElicnKS2dlZlpeX+c3f/E0OHTrEz/3cz9V8/+rVq/zMz/wMd955\nJ3fddRef+tSnNh3rmWeeQZZlvva1r4W+H7d9pOvfPTczDm+XEINRpiAIDSPbsFEf2fY6jWDbNqVS\nqUq6qVQKy7Kqx6pYLKJpWsvdY7ejwY1PIH6kFo1G+06KNSg3SVEUOXz4MO9///t55JFH+N73vofr\numQymZrPKYrCH/zBH3DvvfdSKBR4/etfz1ve8hZOnTpV8znbtvmt3/ot3vrWt/bkGNy2pLsV2fpo\nlXQbEZ8syy1dFJ1Guq2OGVYkHTRH9zvkVldXG+6jTwrNuseGBje16ESKtR0t0P38OwQj8eA5LgjC\nhvTC3r172bt3LwCJRIJTp05x48aNDaT76U9/mne84x0888wzPZnzbUe6fhqh1VUatiKsbsi21TF6\nMWY7CC5oWe/X68+91ZtLuwY3g1qAahWtHLswpFi3Q75d1/WqL/FWuHz5Mj/84Q954xvfWPP69evX\n+bM/+zO+/e1v88wzz/TkmN02pNuIbFt5rN2MEIMNBtvxSO+PGSzKxWKxllIXnUa6juNQLpc7Wj24\nHSLulFB2g7dqN2il+h/03m33iaKf8rmbIViQzGazLWl0C4UC73jHO/j3//7fk0gkat770Ic+xCc+\n8YnqNTNML3SATsm2fhvBv4dNtq1E01spIMKE4zjouo5hGKiq2hbZhjWnVirYO53z7FcEj51/braT\nLx6kqDh4Y2ilMcI0TX7xF3+RX/7lX+Yf/sN/uOH9Z599lne+850ALC0t8cgjj6AoCg888EBoc961\npBsG2ULtqqhhdnPVj7FZNB0G2bYa6XZCtsHjsx0XaispikarKvhEsxtTFK2glXxxfdHTP2+CJkH9\nduyC591WDmOu6/Jrv/Zr3HHHHXzoQx9q+JmLFy9W//6ud72Lt73tbaESLuxC0nXdrY3D20WlUqFU\nKiHL8rZ0c213ZOu6rZuVb/b9nUQrKQr/nPBXrK3PFe9UVLzTj/DBY1df9AwS8Gb54kbLye8Utop0\nn3zySb785S9z+vRpXve61wHw8Y9/nCtXrgDwnve8Z1vmuWtI1z9JwjIO94nIv8v30hQmmD/qBdk2\ni6S7IdtG2+uHi89HMCo2TbOq6dzqMbs+V9xP+7RdCJJxJBKpvr5Zg8JOpXeC59xWOd2f/MmfrEr0\nWsEXv/jFrufXCANPuo3ItpsfOkhEsixXTWh6Hd3atk0ulwO2J7IN2z83LFlaLxFUqnSqBOinyG4n\n0IkCpdGxC+v41ZNuv7cAwwCTbi/JNrhEjb9MTi/g74NhGLiuW+2w6cUF7V8YvtTsdrJ0bAW9VgIM\nIrZDgdKNHLD+Jp/L5Th06FDL398pDNwV5xNVoVCotgR2c6L7Kwps9ojdiwjO3wffsFxRFBzHqXmM\nCxuWZZHNZrdF3taOdrff0aoSoNNmhaDkabehlRtZGJaZQfVCv/otBDFwpBuMNrqJLIKV+mb5zLBJ\nN7jumW9Y7hvGhA0/R+z7IfhFwF5G0ruBaLdCp5HdoPnv9ur33IyM27XMrJ/fIHjpwgCSbv1Bbxet\nkq2PsEi3EdkGT5gwib2+IOfnh3sV3fqtwUD1d7Es67bLf3ZCJrBObrdz4Q46s8x0XZeVlRWeeOIJ\nCoUCqVRqh2bfOgb2uaZdMnQch1KpRDabxXVdUqkUiUSipWp9N4Romia5XI5isVjt6qpfISLMi8w0\nTfL5fI2zWdiWjrB+PG3bRhA860g/Jw3eE4lhGBSLRYrFYlUJEtTQ3i7w5VhBd6x4PI6madXP+DfJ\nYrFIqVSqOV47daz64TcKytnqj58fuKyurvIf/+N/5C//8i+55557eMMb3sD73//+DdtqxWXsK1/5\nCvfccw+nT5/mzW9+M2fOnAl9nwYu0vUhCEJL8o96wX+7JNQpIW4V2daP0e0J3my8MEk9WHD0JViR\nSKQ6fz99EbQt3E2P3GEhmKJQFKVa0Kw/XjttCtSvv0fw+B09epSvfe1r3H///Xz961/n3Llz3Lx5\nc8N3WnEZO3LkCN/97ndJp9M8+uij/Pqv/zpPPfVUqHMfONJtVaLULdkGx2uHEP0CmW3bRKPRltc9\n65R0g+P1clHLoMwsmJbxF9TcDJ08cu92k5tmaFeSFYYKYFBRn9N1XZexsTF+4id+ouHnW3EZe9Ob\n3lT9+xvf+EauXbsW+rwHjnR9bEaGQZOWdn0D2hmnHvVkm0gkWj7xO7lA/PEsy0LTtKbjdRNJtyoz\nC47Rynib5e+GUfFG7FThbpCUFe2e35u5jAXx+c9/nvvvv7/bqW3AwJHuZpFu2GQbHK9ZZb4bsq0f\noxU08rTtVWTrr2awHTIzuD2j4m7SSs0kWX7HWCvGNoN0vIJodE22si/NXMZ8PPbYY3zhC1/gySef\nDGWuQQwc6cJ6ct0/qfyiQ7v2g62O1QjtRJqtjLHVxdfM0zaM7fvwlQf+Ypmt2kf2EmFExf2MsI9t\now7KZsY2jVIUjSRZ/Ybg/PxUy1bYymUM4MyZMzz00EM8+uijPdH9DiTpwnr0k8vlekK2QQTF/mGS\nbT0aneTdeNq2C59sHcdp26t3uy/OdqNi8IyLbldfhWCKotXVPPwbdZCY+/V45XI5kslk08+04jJ2\n5coV3v72t/PlL3+Zubm5Xkx1MEm3WCxWmwl6SUI+fLI1DKMnZNtoO8FCYLdku1Wku13FuO3AZlGx\nnyapd8zqF7exnUKzwp2/zl+/pnSCOedcLrelRrcVl7GPfexjrK6u8t73vhfwFA9PP/10qPMeSNJV\nVZVIJEI2m+35j+3rJIvFYk9zqMHccacG4u0imB/uRdTeL/BJQZblGnLph1xxPz7C+/vqN9T4x6wV\nL4XtXM2jXbObVlzGHn74YR5++OHQ5tgIA0u6wUegXvy4QUICqmLsXqGebMNsamhWdGw3P7zVtv3X\nBgHt5opvt6i4/tpqVrjzb1zbuZpHPekOQgswDCjptqrV7QT16oB4PE4+nw91jCB8svXH7lUHGYSb\nstitaDdXfDvrZH20oi1utJpHmMdsSLrbhDBJtxHZ9qKjy0ew2UCWZURRRNO0nhJuNpvtWcpit5PM\n7RgVd/MU2Y622LdObfeYBeeXy+UGwksXhqS7gWxjsdiGEyVMcvfJ1l9rzW82yGazoWy/0VjlchnX\ndUmn0z3zYfBbkP2VGfopp9srhBEV92NOt5dot+POJ+5GqpN60j1w4MBO7VZbGEjSDSO9ECTbrR61\nwyDdYGdXo2aDsIk92EUWj8cpFouhE67/2GjbdrXd2b94DMOoWdBwN4jxW0U7UTFQ/Z36KSrezptm\npx134Olu//Zv/5aVlRXuuuuubZtzNxC2OLh9Ga744m6fSKLRaFvfDTZTRKPRLR+1S6USgiDUuEK1\niqDNor+NRp1d+XyeSCTSVbFus7H81EJYQu9gblgUPcMWVVWrjmN+ykSSpJroZScr3aVSiUgk0rP0\nTSfwVTG+YVCQYHY6V+zPbbOOrZ2E33Gn6zqO4/ALv/ALvPjii8RiMe677z5Onz7NRz/60RpeuHr1\nKg8++CCLi4sIgsCv//qv84EPfGDDtj/wgQ/wyCOPEIvF+NKXvlSVlnWATX+o2ybS7aZzrZMoNEiA\n0Pt1z/yW3UZjhRVF1zuMpdNpdF2vjuM/7vn/bhbxNap094v+c7vg71u9sXyYec9O0c9pDz8qFgSB\nVCrFt771Lf7Fv/gX/NIv/RLlcpkXX3xxwyosrTiMffOb3+TChQucP3+e73//+7z3ve8N3WEMBpR0\nfbRCJmF0dAlCazaSsLGNtlWy7ZQYg11kvWpsqE9XBBUW7c57s5zebi5IbYagQVAQ7eY9dzoq3gnU\nn3P5fJ677rqL/fv38/M///MbPt+Kw9if//mf8yu/8iuA5zCWyWRYWFhgamoq1LkPPOluRoZhts+2\nSizteOh2OoaP+nbkViwk241e6tMVvTK9aZVkNvMK8HPFW+3LIGM71AD12+130g7Or52VgDdzGLt+\n/TozMzPVfx84cIBr164NSReapxd64VXQT220nbiMdTIXn2xd1+15aqQRWiWZRibfmy313e8k0glu\n16i4/qZgGEZLtZ2tHMa2o9FnIEnXR5AMe2Xt6KMR6W6n01j9zWRkZKStsVrt3rNtu7oMT6s3kO2M\nirYimSDBBB3H/OLLIBJMu2g3Km7UOebfyPoVjc65rea7lcPY9PQ0V69erf772rVrTE9PhzPhAAaS\ndIORruN4a3X10qug/sfshWfBZqQbVAr00ouhU5/efrgwgyRT76DlqybAcxkzDKNh0W4nOvO2+xG+\n3agYQNf1vo+KW0kdteIw9sADD/CZz3yGd77znTz11FOMjIyEnlqAASVdWBf+27aNLMvbYu3YrGst\nDARPnnqlQLftwa2Q+nalY7YLgrDuK+vfIP0b9VbR3u2iKd4sKvYXxfRlf82i4p0obrYb6bbiMHb/\n/ffzzW9+k7m5OeLxOF/84hd7MveBJF3XdcnlclUSisfjPR/Ptu2eevcGZVeN1iILG43kX7eDD0Mr\n0d5mBt+305LyPrkGC6ft5op7eT4FSddPKTZDKw5jAJ/5zGdCmV8zDCTpCoJAOp2uSpl6hWAeFXrv\n3WtZFtlstulaZJ3Cjz6byb+62e4go5UcqN+Qs1Vr6m5Bo980jFxxL25ag2R2AwNKuuAJ731pTNi5\nsfo8aiqVIpvN9oRwfVmWruu4rksikeiJLMsfp1AoIIoiiUQiVFLfjQhGxf5v4t+4/FxxN4tB9rss\nqx25Y7cKinavrWArcDab3dLAvJ8w0Fedf+cN6+TdLI/q3/XDvkiCXWSqqmJZVk8I1z/ZDcPoyZpn\nfvRsmiayLA985NsMm0V7rZrctKIp3g3odVQcvBbb0ej2AwaWdJtpddtFkGwb5VHDJvdGXWSWZWFZ\nVtfbrh/H1w+LokgsFgvViN2P+IKtvEFxfiPS2a2E06zleTNNsX9O+a/107HpVRQeVlQcvOaH6YVt\nRjek207RKgxy9zWwjbrIwsyNNpK0hW3EHrxxSJJEIpHANE1EUaySiyzLTbvJdnthaiuC8ZeC8ptQ\n6o/Lbj42QXQSFfvt9o8//jiXLl3qS2OezXBbkq5PtvWetmGP46NTDWy7aCb/Cmu84L7EYjHAqx43\nku80WgZ8s8JUP+hmtwP1BON3/PWbEVAwZ7pTaHbT8p3/vvGNb/DYY49x9epVvvKVr3D69Gk+8YlP\n1DQ1vPvd7+Yb3/gGk5OTPP/88xvGWVpa4pd/+ZeZn5/Hsiw+/OEP86u/+qu9268tiKRvk3P+RduO\nJWKwcu8/brdaTMpms9V8aKuo7yJrZiNp2zb5fL6j3FR9LlrTtA3jdGsdGdyXaDRKNBpFEIRqw0E8\nHq/65/pRbb3T02ZzD0YzPvGErZstFosNj8tOwrKs6tNIIzQ6NttlBOQHJL2oMYSBQqFQ1cl/6lOf\nYnZ2luPHj3PmzBne8Y531BTWnnjiCRKJBA8++GBD0v3oRz+KYRj8/u//PktLS5w4cYKFhYVuC827\ny9oxiFYiUL9y7y/D3YlxSzsndCddZN1E7L1Mj2yl5+02LdKJbrbfDL97hUbHBjYW7boxAtoM/ays\nqD/fcrkcU1NT3Hfffdx3330bPv9TP/VTXL58edPt7du3jzNnzlS3NT4+3lNlz8CSbn0rcCMEXbLA\na6Ko9y5tZ7xWyL1ZQS4s1N9Ewtb0+mOEqedtB81yfL5U63ZWCHRStKvPoe+G4xNUL3RTSHvooYf4\n2Z/9Wfbv308+n+e//Jf/EtYUG2JgSddHfSUTOve0bYZmpBuMOGVZ7oigWo0YgzKzduRf7USk/hiC\n0Ds7x06wVZ64Edn4RONHz/2EMKPJrZ4YNjMC2uyJod8j3eDcul2U8uMf/zj33nsvjz/+OK+++ipv\nectbeO6550gmk2FMdwMGlnQ3i3S78bTdarxG5B7MEYcRcW52sm+HfWRQkdAqoTc6Ls2ePsJGq2QD\njdci2+3pCf/ms5kR0GZFu368Sfmon1e3Ot2//uu/5iMf+QgAR48eZXZ2lnPnzjVMVYSBgSVdH0H5\nSC9XUAiSS6O0RbfR4GZzDcvRrFmkWz9GK4bom43RD2hENsVikWg0WkPG9bnQ20Wq1coTg58qC7ug\nGRaC4xcKha7SCydPnuR//s//yZvf/GYWFhY4d+4cR44cCWOaDTHwpOvr9yzLIhqNdkwYW8EnrV6a\newcbMLr1z20F9RKzTsZwbJvS5WtUFpYoXriEce0myZ96A4k3/51Q5xoG/EguiHakWmErH/rpEb7+\nicG/nvxzsZ+MgOqPm+80uBn+yT/5J3znO99haWmJmZkZfvd3f7f69POe97yH3/7t3+Zd73oX99xz\nD47j8MlPfpKxsbGezX9gJWOu67KysoJpmgiCZ4DTyx/d9+wVBKFnj/eZTKbaZNBM/tUJ/BtFLBar\nyUG3M4ZjGLz0z/4VuR+8hF0ycCoWtl5BkARc20sn2EXv/7FTBzn68Q8z+nd/ouu5h4F2JGOtyNjC\nKEq1I63bbgQlWfWo11v7f6/Po/eqaOc3SfhPLvfffz9PPPFE39zA1rD7JGOCIKCqKpFIpFr06QWC\nj96iKJJKpXoylp9Dy+fzPVM+BMm2XSez4gtnefl9Hyb3wvz69nBREiqVzLrTmxgTEUSB0rmrPP8L\nHyB+4gBHPvGbfUO+rSDsotRuQ/D49MIIqNM5DQoGlnQBIpFItZUybASXbI9Go8iyXI2qw0RQ/uW6\nLvF4vCeRj1/Ztyyr7Rz0zS98juuf/SPyF9dbiV1c1ISKkam11nRN13tvMkb8YApXL/Lab/8fLN11\nB0c//e8Q1f6L6lpBu0WpQZaxdXI9bafML5he6KcUTasYaNL1f+gwK+X1uVS/GaAXvr1B+Vc8Hq+q\nIMJE0O/Bj25bPUmtUolLH/4Q+sVLSIkYY6dVRMEGUQAB7JKNpdvYul3zPSUukzqg4pgl5EQEM2dS\nfuklXnnwVzj66U+h7JkMdR93Et3I2PzX+hVhqX7aPT5bFe2CROunQQYJA026QGh3PN94ZLMusm47\nr4LYTP7lqyHCQH3brqIoWJbV8jEyby1y+TffjypUsCICOEb1Pdd1EFwBURUYuyuNJCssn13GLFiI\nUZHUsSR2xXNMc4wKUlTF1itUbszz2r/6IJO/8Rtop+7e1kfx7ZQ/NUtPBB+/G7mx9YM6oNfRYydd\niPWa62BjxCB56cIuId1g1b9dtNpFFgbpbiX/CmOM4P4EI3XDMLb+8hoq168y/28+SkQ0sSs2Vrk2\nypeiUeyS7v3DcbArBqMnk4iyiiPKVDK56mcdy0GKygiyiGs5lF67yfK//SR7/vVHEA8d3dZH8Z0k\nskaP3/5v4q9DdrvL2DZLT2ymLvmjP/ojLl26hGEY1ZV764/RVmY3AI8//jj/8l/+S0zTZGJigscf\nf7xXuwlA/7h/dIBgg0QnvgW6rpPNZrEsi2QySSKR6Im1o+M4FIvF6rpuIyMjVTlOWGP4+5PJZLBt\nm1QqRSwWq3EZa2XblUvnufX//t+QW8F1HPRSrcev67oIDY6R67hoYxGSk1EEqW71ZL2CHFt/PX9p\nnuU/+DcoywvVHLZvFl+pVCgWixSLxWqk7ruR7Ub4j9+qqlYXO/WPiSh6q6MYhlE9Jn6doVe1DOiv\nPKkfFfuvDpdoAAAgAElEQVTHxz+nFUXh4MGD5PN5zp49y+tf/3omJib4q7/6q5rvv+td7+LRRx/d\ndPuZTIb3ve99/Pf//t85e/Ysf/qnf9rrXRr8SBfaI6v6LrJWl63phtjbWfyxkzHC8mFwinmW/t3H\nsPMFb9uCjJXP1HwmMjaCsZTZ+GUBREnEMSqMHtvL6rn5mn2xijqKpmIWKyCAvrDC8h/8HhO/8bvI\n+2ZaehQPW7K10/Aj2nps9vh9u3krNIMoivy9v/f3sG2bubk5PvKRjzA/P78hv7uV2c0f//Ef84u/\n+IscOHAAgImJiV5OGxhw0m0n0u22i6xdYu9kRd92LxS/C8/X3zZr1Ghl/rkv/Fssn3Bdl3KmuPFD\nbuOIMzGVwrHW1qwrlxmd28Pqq7dwnfUxHUFi8p5pFHXtUVlwyP+H/4fk+/4v5ImpmrnWP2o2k2wF\nH8H7ISfaC2ynjK1f23+D8Pcll8tVu9H27t3b9nbOnz+PaZr8zM/8DPl8ng9+8IP803/6T0Odaz0G\nmnR9bEUoQT+GbtcIa/boVe/M1W7U2Sqx1xuJh9GoYfzV/0fpwqvrc9HiiDmDSDqGIAoIioKSipO/\nOL/xy36Ua62rGNxKhT13TnPrxRu4toOa1Ji4Yx+Sa0FEwy2XwHURK2X0z38C7T2/gzQyuun8NpNs\nbWVz6BPPbkQ3Mratusj6+aZVX0jrhGx9mKbJD37wA771rW9RKpV405vexI//+I9z7NixsKa7Abua\ndMM0idmqYFcv/+rUi6EZ6dYrEjbrGNps/ptt27r8MsYP/8aLcgUB7eA0qiqQmqg11xa1KPG0ilGy\nyF9dppL1IuHE/nEca6OkzswV2HPHfnLXs4wfHUd0vfywKDjYggCui1OxkCo6xhd/n+gHfh+xzYaQ\nZjaHweILUE0p7UTr6nZiK5nWVsvJ93ukG7wGc7kcx48f73hbMzMzTExMoGkamqbx0z/90zz33HM9\nJd2BDgE2Sy/Ytk2hUKh2d6XT6dA8GepPSMuyyOVy1TbTVCrVMeE2i6DL5TLZbBaAdDqNpmmh7I9j\nGJj/4yuUlrPIyThjd86SGNVwDX3DHOyygSiAFpeZPDnF1I/NkpjdjxTdfDUKM19k+sePIgrraQlH\nN1DS62taWYYNegnz61/oen+gcfEFvBWXfaXAdhenGmE7C1b+MVEUpXpM4vE4mqZVV3D2AwfDMKrH\nKJiy6AeE7TD28z//83zve9+r6tm///3vc8cdd3Q7zabYNZGufxfvNBJsdRwfYTlz1W8/WKWvT1d0\n0xq8WaRb+fPPYZV0lFiE2P5RBAEcSYI6tYAYiWCXanXEiiIwcccBDN0hf/Zcw3Fje8eQRRcnHsMq\nlqqvW4UiQkTFNSq4hoGTTCCcP4P1ynPIx+/paB+3gp/vDbau3s7Fqc1y576BlCAITfWyO/mkEIx0\nm5HuVmY3J0+e5K1vfSunT59GFEUeeuihIek2QzDS9dfqql+QMezx6tuDwyT2IDH22kjctm30Z76F\nNP8aSlxDkQIFL3PjUvCCogAbmzekeJy4k4ETh8mfu1z3JdDGk4BLZCRRQ7o4LpKmYBleWsJazSCO\npTD/4suI//w4YrTxumFhot3i1O1SsAOqTwo+NtPLbne7c/3TwVak+9WvfnXLbX74wx/mwx/+cCjz\nawUDTbr+Y7efq+sV2fpjOY5DoVDoKbE7jkMulwul6FcPfx90XcfILKP98DGk/Qewb1xb/wxg5TYu\n1243IGIAoeKlIeJxGY4eIP/q+ra0/ZNIwpoHsWkS3TOKfmt1fZvFEnIqjpUr4to2ju0iOTrWn38B\n9R+9L4xdbhuNilNbdUvdDmY3/Spj6za9sBMYaNIFquTku4CFjaD8C7wlcqLRaOjj+CJ4y7KIxWI9\n8QV2XZdsNouqqsSf/ibi2DiYFQikHVxJAauOYBNJ3MxGba40MgKB3G88HcWdnaZw6ToAsdE4sJ6m\nEGUJQRKrNpDgtQkLoojrOJgrGaSpCeyLL2M//zdId78ppD3vDs26pYIqgXYfw/upCSGIVue1nTK2\nzeZWLperOftBwUCTrih6K/uaphm6IU0j+ZfvpB8mgkbiiqIgSVKopB4skADeuk9XXsYtZZDSaSrX\nr9d+3rI3biTSeD5yKgWFbM1riVEN19nnqRKEOk2vbaNN76N0ZX1M17RQRtMIagRRlZETcZxSEfNb\nX0c8eAIh3Tsz6W7Rikqg2WP4bkSn0r5WFSWNbgiDJgkcaNKFWilXGGjWRBH2OMEGinQ6XS3OhYX6\n5olCoYAogH3mu8jpNK5p4uq14/nNETVzLW58DUCwG6ccEmMxrGgCChujY9coI46N46wsAyDG4ySO\nH0FSAiS0fwrbdLCefgTpLb/U6u72BYLR31YFO/D8F2RZriGfncZmnXLdoJm0rxUZWyPJZr8oKtrF\nwJMuhEeGWy3MGMY4zRoowpLmOI5DqVSqUVZU3/vRY4iyt092oZZMXUnGrX9iiCdws7XRLIAQT0C5\nQccaYEWTxPZPoF8xEfTazwiuizo2ir6yDPEEqXtOIUsClpZEKq2NU6kgaTFkwcK6dAZ39nS7h6Cv\nsNljeKlUqnpO7NZW52bY7AbVrAXc/0yxWKye14N2bHb+ttolwoh0g7pe3yOhUSNFt+OYpkkul0PX\ndeLx+IaOtW6371/I2WwWURRrjHUEQUColBAXLyOu7ZelBwg2lkTauw/t7tNo995L/L77SPz43yF+\n3+uJ3vtjOCPjNWMpTdaQkqamkHCQZmYarvck5lZQ5o6TuOsOlDUTHMko4YprpOQ6sBZFi9dfwsx7\nJj6DGtk0gn9uKYpCJBJB07SqbtYnIP+Jyzf/2S7d7E7mmn1ybXZcXNfl4YcfZmZmhosXL/K+972P\nz33uc7z66qs123r3u9/N1NQUd999d9Mxn3nmGWRZ5mtf+1rP9iuIgSddWCerdk/EVt2/gujkZLdt\nm3w+X12RtpsGis3m5DuMOY5TdRir34/o9ZcQHC9nW3ElKBcwJ2dw7rwP9Y47YWIfaiqGGo8iR+S1\nSEtCS0UZvfs4yuvfgDPueSS4mzx+ulCVn0UFE2Yar6oanZkmogaeIhwbJ7bui+qapveYW9GRL/2g\n2sxQKpXQdb0aAe02IvZzoUHCCT51+Smo3X4sgggeF5+QP/jBD/Lkk09y/Phxjh8/zpNPPsnTTz9d\n872tHMbAuzZ/67d+i7e+9a3bdvx2TXoBWr9D+1KzdnW97d7965s1tlo+vZNIN6jnbeb1YK3OIxXW\n5VpWIo1y7xuIrEWaDiKyvjGNwFp7rygIJOIyiTuPUtCPws1rGz8LWKP70FjP9WpRgVJqFDG3PjZT\n+4nGZCxxD2JmsfqyqJdwEBFxEBwbveKiRQTk7CI3z14idugIkxNqV54Cg4hWW53DOhb9qqpohJmZ\nGT74wQ82fG8rhzGAT3/607zjHe/gmWee6cHsGmPgSdc/OVrpGe/U/Ss4ViukGLR0bJfUWyXdoK/E\nVnpe13Uxlm4QLXv6W310P4osIlvrci9LUonUJQMsWUM2S9RDmZhASMVZPX+DVL6WfIX0CLCexxUF\nUPdOYRZyCI6NK8lEp/euvWfjICCujSvaJhUthVj2CnCK6OA6AqJpMKNc5l9/ysVwRFIJibnZGHOH\nY8zNauydjDQsxgQLMbsNW+lmmx2LQVqvrR7BIl82m606jHWC69ev82d/9md8+9vf5plnntm2YzLw\npOujGWF16/7Vyhj+ON2QenA7m50Awei50eoTjWDcug6FDKJtYqT2YI9MEMncqPlMIyGCLiVJNCBd\n3ZFIywITJ6fJLSSJXnnJm7coExX0DZ9XMbEOHYVLryDNziFL3kUj2halxASxwq3qZ2XbwEVAwEWq\nlDHTk6hWmZhV4KGfvMW/+k/eRfajFzxiP3UsxmrWYs+4wtxhrUrG+/eqVRLy5YR+4apfyCfsiLId\n5USzgl0/R7r1DmPdNEZ86EMf4hOf+ETH6clOMfCku5npDdTKv8Jop92MdINa2G6MxLfKJXcSPdu2\niZWZRy6sUomPYU/sQ6hvfgCkykYlgr3JYg2q4IALkgCje1MUEvchnHsOa2I/Gg10vkBUtigdnENL\nx+ted3AEEXHNp1c0DXJSiqTtpTrEch5XlsDQOTVZ5h/9LyO8cEPDdhxc4KXz3k1hfrHC8y8VUWQ4\nMRfn6g2D6b3qGglrHNgnMjebBtxqVdzXXTcS7e8WdNLq7LoulmUhy3LfKSeC11/QS7cTPPvss7zz\nne8EYGlpiUceeQRFUXjggQe6nmczDDzp+qgnxK3kX2GMERzH18J2O04jLWI3pjflhWsIVgXRMjGn\nDiIIIqJTS7oWEmplo6Y2am9sB9bFGJpbq+1NJCT0u38Mt1QCs0FeGC8nbE0fBWu59nXHYlmZYLyy\nntuNyTY+d0uVMuXIHmKOTjmn887XL/OxxRleeknHcSGVkNgzrhCNCAiiS7HkcvZl7waSzVm8+EqJ\nRFzkwD6V165d5dCBKEerEbHGoZkouM6uXqGiHlu1OgfzxP3Y6uyPnclkuiLdixcvVv/+rne9i7e9\n7W09J1zYhaQbXHI8LIPv+jGgN0bi9ejWo9eq6Aj5WziWiTk5g7AWwYlGbVRbESLUb1kXY0TtjdGv\noY0RdTcSdEQVsEYP414+g9BAKGYLMtHRJMuFBHvKr9W8l9DANmXP4ByQKyUKUoq47S1wqRpFHFki\nSZ4ycf73N65w8WqMXN4mV7DRNBFJUnjlonczSMQlJscVtChIkshKxuLlC17a4+ULJV6+UGJiPMdo\nSua1a/oGIj58MIokUhMFAqEScb8pDepbnX0VT7etzmEjGJDk83mOHj266We3chjbKQw86QZ/aMMw\nKJVKLSkFOh3Ll5n10j7SsiwMw+jafL108zVE18XVkgi2l9d0HRfZqlsZ2N6YEtClZEPSRRRplEEw\nIknUqEJ25DAjmUsb3s8npkmIEElqOOX14hlAxDVY1KaZLK2TsSuI2HIEc2Iaa2wfRVslUVxAMg3u\nnioyt1fluhZhZl8U03Ip6zYjKZlMzqJQtBkbkcjk4Pq8R7YxTWRqj0pcE1AUgYVbJucveSR9/lKZ\n85fKHDhXRABuLlY4NB3xiPhwjLnZGLMHNWSZho/j3TiP9Vv0XH8z6LbVuRf+Ia1Guq04jPn44he/\n2PXcWsXAk67ffVWpVJBluWfuX36RzEcvxvEvZF/P282No5TPI5Uz5CLjpIyl6utWg0StUmnQ5rvJ\nsJrTuAut6ERJAtHJMfLFHEmzNo3gJr2leDRB51ZkhinjSs37KamELXjRrgvoozPk9+wnqXrRr4aI\nkTwCZgXZKPIbDxR5/xcU/va5XM12pveqjI/KOC6YJoymHVazFqWyg6pKLCyZ3Fr2bkBaVGRqj0Iy\nISFLcHPBZOGWiQu8+pru/blc5k+/scjyqsnM/ihHDkU5Nhvj2JE4hw9EUBSxqfPYoFpAbiVtbLdg\nF0bOvP6GkM/nB85hDHYB6YL3Y/gtgWETYX1OFWjYeNDtGH6RzN9+sHW3XTiOg7F4FVMdRaSWP42y\nSzLw76KlkDAbpAusjeSaJU3aNTa8DmAKEcBBEgX0/bPYr2WQ1kLiiqQRj6/PIpqO4SzWRrtRocJq\naoZE/gbZmdcRGYlTKCsk1zS/Ig66bhONqpSVOKZT5J8/UOa/PZ2gWLJZuOWlCS5fNbg+X9vKPHtQ\nI5WUcByBsVEZ23ZZyZiUdYd4TOHy1TL5gjfXaMQj4pGUhCTBjYUKt5YtXBcuX9W5fFXn+rzBn/z5\nIrmcxfS+CEcPRZmbjXNiLsahA1FUVWz4ON4P5t9boVPlQrOCXdirOvuf67aQtlMYeNKVJIl4PF5t\nkQwTjYzEV1ZWQpPUBFUPfpGsWCx2fePIrGRBgII6RqKwUPNe3K4tdK1IU1QkUKwiMbGC5FoYQhSt\nQRGtrI6QZnnD66Yrk46vR9BxDZbG72Bq+XkAltV97AkcrpigsxydYY9eG+2Kjknm+JuIRLwLdzRq\nYLgyEcEjXhd57b8menqcfSct8t9ewHVF0kmZpRWbQzMasixSKlksr1SYmY7x8oUC5pXaKOnYbIxI\nREQUYXpvlKWVCksrJqbpkE6qnLtYRNe9fVJVgakJlYkxGUHw0g/5vIXjwtUbBldvGCwum3z16/OU\nyg77JtW11ITGibk4h2c0otGNRAyg6/pAkHEnqM8TQ3cm8fXXXTabZXR088VM+xUDT7o+wjK9geaN\nB2FdFEHVQ5hOZqZlU8ktU1L24NoOMbdQDXV1U2LELWO5IovKAfT0XipilEh0LyZQAmzTRtddWF0m\noa8wbt6sRqzSJveCVUYZqXtvdFxltTjNqH4ddSS14TtKUsPRa6PdwvgsTmSUCF7KQBQgV1bZo3mk\nm5TKFMwoUQWiro6rJXnPr0zzf378taq8bXHJi3JPHI2hKCILtwzmZmMokkixbLGaqTC9T+OFlws4\ndYf51LE4guC1Ms/OaCytrKUiXBhJqzz/cgHL8r6kyAL793pEDC6LSyaG4eC6XnQ8f6vCSsbkq19f\nRDcc9u5ROXI4ytzhGCePxTk4rRJRbERRbJgX3Ski7nWBr5Fywh93q4Jd/bUxjHR3CM10uu2ift2z\nRjnVMMx1mqkeut3+/EIGU06CICCZZURhfVtlWyYrH8GdmEJSZU+xoNemCyRFIl+Q2DezB9jDonWM\nykoBJb/EmFCbP/VRkWNArQxNEAXkffvIXjdJJzeSRlw0anK7ucgelIlRdAuC4oeRiIHlisiCgyi4\n6LpIVHFQMClZJuPjCm9+Y4rLVyqkkzKiAJIi8NzZ/AYivvNEHNsRmF+scGIujqIIFMsO+bzJxLjK\ni+c2plTuOpnAtFzA5dhsjOVVk8WlCrIMI2mF514sVJeTkyWB6b0KU3sUXNdladnCXpvE/K0Kt1Yq\nZHMWX/36AqbpMjEmVxUTJ4/FOXQgymha2fE2552ItpsV7HwJm71W8H322Wf57Gc/i23bPPXUU/zY\nj/2Y5xMdwLvf/W6+8Y1vMDk5yfPPP79hvK985St88pOfxHVdkskkf/iHf8jp09vjZidscYH3l65l\nE1QqFUzTpFgsdnTnCxqJ+0Yjm5142WyWeDzedvNDcIxoNLqpsU6hUKg6LLUD27ZZyRZZzVvIkneh\na/lF0kIO2xVYZIqymiYZWc93mjbEhTL101gtSIzFa1M1uUoEK1/kYOZ5YlJtzvRW7DBprXFq52p5\nhIORjSkJgIwRYWz1FQTg+r6/QyTlrYtmVSAhrBPgakVjTPX+bboSlqgiSVA0ZexoiqWMy0d//yIn\njiR46UIB03RRFIF9kxFSSRlJBFEUOPNivqbhQxA8Ur34WpmYJjE+qqCqIuWyTbFskUwonLuwkYjv\nPpXAqDhEVBHbdlleNVm4VSEREzl8MMYL5wr4l5UkwdSEyr5JFdtxWMlYzC9WqKwdLr+Z4+ULJSzL\nZWxEZu6wxtEqEWtMjK0TsV+oCrb2hknEfkGwH1dj8OeWzWb5i7/4Cz7/+c+TSCQ4e/YsDz74IH/4\nh39Y/ewTTzxBIpHgwQcfbEi6f/M3f8Mdd9xBOp3m0Ucf5aMf/ShPPfVUmNPd9MfYNaRrWVbb1cz6\ntt1YLLZlPjWXy9XYzLUzhqqqaJrWdIxisdjW6hG+eY+u61xajZNWC4iCi2PZ7CtfYslMko0dwJUU\nNApElPWfNFMQmIrXtvmaFkiCsyGVcC0bY88olPMG4zfPMi57Ua/uqjA2gSg2Pscuy7Mo2WUOaKsN\n37++4ICkEDt6oPrackFmOrKeey5bElHJqkbtN0txxlMee96qeFK1vz1r8t3Hb3FrxWR51WM0LSoy\nN+uRoOOALAvsm4qQTsrIsucg+cK5AsHFMiQR7jiR4JVXSyQTEhNjapWIy4aFFpE5f2lja/TpO5KU\nyzbRqEfEKz4RxyUOHtB44dy6QkQUYHKPyvReFct2yGQtFm6Z6MZa6kKBE0fjvHy+hGW7jKRljhyM\nMjcb49SxGIcOaFXjnyAZh+GxYFlW9Umv3+CvUqxpGq7rcv/99/O9730Py7LIZDJMTEzUfP7y5cu8\n7W1va0i6QayurnL33Xdz7VpjE6cOsemBH/j0ArTvqVtfwGqnbbcd05tOWoPb2X6lUqFUKnkFPiOF\nbrmMRtZWE67AJeEITsp77LIth0i0frsbz4tMWWEysVGh4AoyYKElI2Qj91K6fI4ZeYFVd4TxTQh3\nSY8R3yuiS2PohRxRaaPAV0kmsOu8ecfiFtlShLTqzUOTbW4VI0zGPXVHOmICXrEtIlggKJw8pvEn\n/9UimzFJJWVOzcWpWA7lss1oWmF51cSyXFazJumkzHMveNGoLAvM7I+QTskoioBlurz0ikfExorD\n0oqJLMOpYwleu2aSTLicXEtN6IaDUbFRJJEzL24sPN5zR4JiyUEQXE7MRcnmbBZumSQTEmMjKs+e\nWSdiQYDJCYWZ/REsyyGbM1EUsGzIZC2ef7lAxXT5r99YxLYhmZA4csgr1p06FuPgAY39U5GeSrb6\nAcFOTR+yLG8g3Hbw+c9/nvvvv7/rubWKXUG6UOup2+zu3m2XVyuk2IsW5CCCqopEIoHlCFxcUhhT\nPemXYQrkhRGi0fVnab1UgbrgWRE3kqBpNp5nPLAtRZVw5k5x7tUYkmMw3vAbsGwlGAOimsSV3H6O\nS1c3fCajTKDrCWYi64/xggBZS6uSLniSMR8xqcJyOU5Sc0gpZRbKKoko/LP3HOM/fekC0YjI939Y\nq9JIJSVOziWomC66bjE2sk7EubxHhD983iPBIBFHFAG94lSJeHnVi6RVReDkXJxLV8qkEjIn5uJE\nVBFdt6mYNoIg8tyLG/XPp+9IUihaSBLceSJBJmtyc9EgGfei6noi3jOucHA6gmU75HIWUVWgWHbJ\nF2xePFfAthy+/ugtbBviMZHZgxpzsxp3HI9zcDrKgX3RKhHXS7a2Wg6n3xCcm67roUTjjz32GF/4\nwhd48sknu95Wq9hVpNsMfntwt11ezUi30TI57Y7RbPv1+6AoCisZg++edYiPKKRjFpYN13IpxmIm\nwUhWFmu36bgucXljRKvIG5sn8rpIPFb7uigKxI4d5sqreQ64N2kU7Kqp9YtiZErjxvU0+7V1MixY\nEZSxESxTwnaKNSmN0YSJXpGIyt6NYTxusVjUmIx7XWSmboHmfSEuGjhCjLGUzT944BBPffcGd59K\nUCjY3FjQ2TMRQRLh6ToiTqckjh+NY5ouum4zPrpOxIWiRSIu8ezLa0QsrROxqggYFYcXzxewLFjJ\nmKxkfCL2csSJhMTc4SjRiEjFgkrFizobRcQ+EYuiwF0nEmRyFjcXdGIxiT3jkRoiBpgYUzh0QMWy\nIZ+30KIihaJDseTw0nnv5vUXf7WMZbloUZHZg55qwo+IZ6ajCLjVYl2j5XD8KLmfCLidbrRWcObM\nGR566CEeffTRbZWe7QrSDSoYHMepEWi3ayTeyliN3MyCpugjIyMdj+HvQxD1Rbh4PE7FtPnPX7/O\no9/N8I9/9TQRUUfE5cJSAkuQUBQr8H2XsURdYawgMJWoI2LHJR3duKryalFiqkFdJVcUGD28j+eu\ny9yTulpDvPPFKInp2tNLT41jlHNEZG/ci+UJ0hMiccnlynKM2bH1XKkiwXw5weHkOlE6AY3XZMJg\nIZ9AkiUcSSZbkBmNW8zMJPhRKsqzzyyRiIkcPxpnecUknVS4+1SC/BoR75uM4DjwzA9rFRk+EVcq\nLoYRIGLbpVDyiPgH9USclImoXkT84vl8NSWQyVqoisCJuTgXL3tEfPxonKgqYKwRvV/gq8fdpxIU\nijai6BX7MjmL+QWdaFRkas9GIh4blTl0IILruOQKFrGoQK7gUtYdXr5QQhQFHn1smYrpElEFZg96\nxbpTx7yI+PBMFEFwq1Ktcrlco53tN+OfbuViV65c4e1vfztf/vKXmZubC3FmW2NXkK6PoJF5p1aI\nrSA4RjCv2ql/brNx6v15AZ54apmvfdNrevj7bzuOIotE3DIXFyII0ThOsbbQUyw5jNbVF4tFCxK1\nr93KwN4GN/yS0fgiu5WTmIxCcnoPz15xeN3IdeS1Q7yox9hX9/lEUubc0h5OpxdZKikk9q0nJtSo\nimmXCC4KHI/aWA7VbU4lK1zIjFARExhSgoyhEovJYEOpbFPQi8Q1i//tgVkUweHFF7M8/5JHTjcW\nvKg+kZA4fiTOSsZkJK1w98kE+aLFjXmD/VMRrA6IOB6TOLuWmpAkmN4bYTStoEYEDMPh5fOFGiJW\nZDh1PMmrl0rE4xLHj8aIRiQMw0Y3bGRZqs47iLtOJiiV7KrqIpczubFooCoi01NRfnR2XTUBMJKW\nOTwTAdclX7SIaSIV08aouJy7UEKS4FtPrKIbDooicPhAlNmDEU7OxThyOMHhGc/4x09NhOU30SmC\nBuaZTKZp0Xwrs5uPfexjrK6u8t73vhfw1qqrX+6nV9gV6gXfJT+XyxGNRqvRraIoaJoWKhGWy2Uc\nx0FV1WpeNRaLdeSf2wh+Z10kEqlu31c8vHq5wGf/6Bo/esGLjGaPjfP2f3wcUQTNyaBLIwiCiOqW\nGEuuR8urKzqHJ2sj2JvzJoenarW1N5dg//jG9IKtJLEamOLYUoJSYLNjQpbR/EUEXG5EDqJoG/Pl\nruNiX73GojvO6MHa4sf8fIXjU7USrWs3LOb2eIR55tYES0wyPuL9no4LhTLVDraVrEtcNYlpUCxY\n/IfPPMfeyQiJmIxp2aiKyMXXyuSLtfuSSEgcPqCxukbEogD5gsWNBYN9UxFsB67dqDVnTyUlTsx5\nRKzrNotLBqtZb7sjKZl9eyO89Iq3L5LkydfSaS81UTFdXrlQwAwcflmCO04keel8gVhUYnKPihaV\nqFRsiiWbaFTi/MWNqolTx+IYFQctKnnNJAWLG/M6gihw4mi8qtzwkU5Ka1EtFIoWy6tWdd4AJ45G\nucHtQnIAACAASURBVHazQrHkIMsCB6cjHD3kRcSHD2ocORhDktwa1cR22T/617Qsy/zlX/4lL7zw\nAr/zO78T6hghYnerF2C9vdCXXHVqJN7KOKZpVpsbwi6S+dv3pTF+3vZLf3Kdv3p8mZG0zNFDUSIR\ngZ946xGv5bVgQGwEURCxHaemJRdAFTemDCZSG0n04D4Fq1Kb53WhIeG6Lhh1Xugrbho3OceoOY8S\nbVygFESB2OEZRsyNRZCRUQXTpibaVWIqjmPww1tTSGNTjDguxaJFPO41QgSnpipgi1EWMjaaKvP3\nHzjGf/uTcxw5pFExXa7dKBHTJI4ejhHTRCzLQVVFLr2mc3YtZXB9fi0ijnupiUzWJJ1SGDmZ8Ih4\nXmffVAQXYUNEnEpKnDwap7LmejY2orCSMbFtl2zeJJVcL9ZJksD0PpWRlIKqCNgOvHze0xhnTYts\n3qpGtItLOpGIzbHZGJomUqn4OWe5msMN4tiRGI7t4jhw5/G1SH7BwLZcDs3EeOGV9c468JQQB/cr\nKIpIoeQQjYgUSw6W5XLxNR1ZEnjmuTyZrFcAPLAvytHDUY4fiXP0sMbRQzEUhS39Jrol4mCA2O1S\nPTuJXRHpGoZBLpfDtm1UVQ3dkAbWc8OGYVR9EsIcw8/b6rqOKIqkUikqps3/+PYiX390kavXjeqP\nIQjwlp87zt2vm8AwXCzLJZ3ymEov6jURrGk6jEcLNQ0QIqDUGZGDpx916/LJghJBtxs8KYgyebOx\nljip2ohOA+eyNVRcjbIdaXgzSCg2YmWdzBwXzl5Loo5PVl9bvGUytce7odqOS74koGneHFfzEFFF\nllYsBFHi+oWbLF6e59aKya2l9fFmD2pYlsvVGzqJmMTeyQixmBdZqqrI5as6uXztXUWLihw7Emdl\ntUIq6a2wUCg6zC8aTO6JIEsCr12rjYjTSU/ZUDFdyrrFrSWv6Aa+2mC9mUKSBPbuURlJKyiK14/8\n4iueVCwIv6FDkmDvnghaVKRiesQ+Nqrywssbj/3hmSiKIqIqnt9EoWhzY16nUnE5eUzj0hUD3Vj/\n7RNxiQP7ImhRLz21krFYWlk/HocORNB1h4UlE1GA6X2RqgPb8SNxDh+MEtOkmoaObtucS6USkUgE\nSZJ4+OGHGR8f58EHH2zpuzuA3R3pCoKAqqpYlhW6h2cwN6yqqlfEqlRCG6O+eSIWi6HrOt/560W+\n8NWb1VykIguMjynMTGtoo6PMHBlFN2ApI3Jo3/pF6VoVPFr1MBp3EF0BQRBBEHFcERsRXO+nF3BB\n8M4Q0SkBdekFUWm8bo+obrpPi6Uke+MW2BvXSwPIVBIYtsp4pLKhG65kScQFAWEtGCiJEySn0jVR\n9cSYhGk6KIqIJAoYZatKup5PhMhISmI5CxOH9vHDHyySW7FIJmSOHtZQZJFC0WY+782vULK5cLnE\nwWnvsfvlC15jxLHZGFpUxDAdFFng2k1jveh10/tfRBU4dTzJasYkEZe9XGve4saCzviYSlyTNqgm\nUkmZk3Nxzwe4vC5fs22XpZUKY6MKZ17M4zisGfJE1ojYW4Hj7MvrRJwveCmHU8fjlEoO+UKZudkY\nMc07RiuZClMTEc428JrYu0chlZQRBJFjR2LeMVnUKesuB6ejXL2hV93XwPMknt6rkkx4kXC57G3Q\nN/4xTYdLV3Qe/uObCALsm1Q5ckjj2JEYJ47GODwTRdPkjlcwrjcwn52dbXh+9Tt2BenKskw0Gq0a\nyISBzZbJ8ZcwCQP1eltRFDl/Mc9//Yub3FwwiEY8wXwmazK1J4IWV7hwA37qrikUReRWVkTBQBDW\nCfD4IWnNKwAkUeJ6Ls5SsVZJO5m0yJZri4ojMYdMCaYTJSajGUTbu5idTW7YltO4KCkKkDNEdGuU\n2eQCrlsvNZPIV7wWZ0eMIbm1eUrHBVdJIVSy6NIor656lb20ZqOvaYhFSWQ04ZBbC9YnJyQKZQs1\nIpNKSiwuVUgkVaKqTcVW+Ol/cCcv/PUZFAHOvFSsLTaNKBw+4EWB2TWpFkC+YJMvlNg/FUHTJM5d\nKJJOShw9HEGLylRMr3ttcamyQX0gy95j/UrWIqZJa0RscmPeYCStMDaqNCTiE0dj2DaUyla1ocNx\nYOGWwfiYygvnvPSDKML+tWKdIgvIssCZl/JUKt6OXVjrmJub9bZ38bUyRw55KRXTcrm1rDM5oXL+\nos78rVpVy+iIl75yXJfDMxqlss3NBcNzT5uKkMnZnL+0fjPVoiJ7JxXG0jIl3WZl1UaAqvFPsWSz\nuFThi//Zu0tN7VE4eshbpePkXJzDM1FSSXnDCsaNiLh+UcpBdBiDXUK6YZreQPMGirCMdRrpbb/0\nJ9f5H48t1RQ+xkYV5o4kuXzNQKtYvOF/vYdkzGU5LyEIMD66/uiviA6m5SJLAvPZKNczEaZGGjRA\nNF47EhC5XkhwvZBAk00Op7KozkZPBdfFM6ZpAFmSAJGKLZKzUiSlWq/eCuvas5VyhD2R0oYHsZIl\nEpHSnFtdL7Q5bu2Hioa3YrCLVznfN+ayvJbeHE2CiVc0ml80iCdURg8e5sKPLnHsaAItImIYNvli\nhVRC5uy5Yk1ueGJcZf+kSiQikslaXL3hsXs2b5PN20yMOYyPKrx0vsRIWl6TgYnohg2Ctzab3xjh\nt4MIApw+lSSTM1EVkbtOJMgWLG7Oe3rc6X0RnvlRfY5Y5viRGK4LxZJFKiFXifjGvMH4iMK5V4uU\ndccj4qkIoyMKsiSgRkTOvJDD8In4snc+T+9VUFWJ165VOHhAI66JmGttyxNjCpeu6Jw9V5ueiGki\n99yZpFJx2DcpkU7KzC/qFEoOo2kF2xZ49vn13LLvSTwxpmAYNkurpufe5sLCLZPVjEk2b/Gf/nQe\n1/UaQI4eWpOwHa81/nEcB8MwqjLKUqnE5z73OZaXl/tCutYJdkVO149KdV3Htm3i8fjWX2qAVhoo\nbNvu2LG+XjMciUSomDZf+8Y8331qFUUWEAR3bSUCGBmJUig5OK73WDl91zHUiEwiISOIInuSFeLx\nddIdjRq4LryyoOEiokouquoSZDVV8tpS65kuqrjVSHL9NYeSIXBkLE9KKVRPfEFSyVU2SS+IERby\n62Y9x0cXwVkvzi0YkxQC351MGMhubTFIFAVuFkcpVeqicc2mHJhjOuqQ09duuLi4gohhed+RRciV\nRUTBYWFFoFJxuP5alltX50moNoWizWvXdMZHFSbHvZvq8mqFpWWDY7Mal66UKZXX9leAqQmFiXFP\nUbC8anLlWrnGsyGVlDiwL8qLrxQZG1HYM6GirrUKW5b3e169sTHdcvepBPmiTSLm/Y7ZvEfEiiIw\nNxvfYEGZSsocPRxDFDwiXgzkiMFTM9xYMMjmLEQBpiYjjKZlBMFBVQXOXShTKtde1hPjKiNJmRsL\nOnsnI8RjkmfkkzFJJSSWV6yaMcCL8u+9K0WpbKPIAiXd8Yi46DCSlpmaiHDu1fXfVVW9fPWeMRnL\ndllcNlm8ZVYzVwJwx4k45y+VqFQ845+ja8Y/996V5M7jcXRdx7Isfu/3fo/vfOc7XL9+ncnJSd7y\nlrfw2c9+tjrWVg5jAB/4wAd45JFHiMVifOlLX+J1r3tdw891gd1teOOTbqVSwTCMDTZvW6GeDDdz\nAPM/2+6jTX3e1jezefLpFT73lWvcmA+0u4pw56kUNxZMsnnvqo7HJO550xyReJxEDFTNI607DpqU\nKiKy6OLaDuWKwGp5ndAmEhV0u1ZFMB63KdTpbhXJxbQ37m9ac1gqeGQgCA5HxwqklTy2qG3Yho+s\nHkO31x+gNNniYGLeq2ZLMucze2s+L4sue7TVmjO0aMW5vBInEbVrItxk1KESiLBV2aViuQhr305E\nXZaL3tiJiMNizvt7Kurw6ryMisGrr+ksXM8RJf//s/fmQbLmZb3n5/fub+61Zda+16mzddM0NDCO\n4oDMGDdCFGQTL4KgF+Uqu2ioyOglRDEAF0DgMgbOveHAzHUGLwYgjoZ0CNLd003T3Wepc05Vndqr\nstas3PNd549fLvVWVqONLWh3PxEdHScrM9833+X7Pr/n+T7fL4YKxWOH9c0qo8MmcVslv98gmdCw\nDKjVPPL7LqWSz4VZm519l6NC0zxTaza9UiqmpVEouCyv1SKlC8sUzE1L2lZPWmegz0DX5ahwre5h\nmhpLK900sPNzcVxX0sBCZOa8vVNHCLh4LtmchOtsKJXUmBizsAyFYjnarAOYGDWo1aXmbxuIMxqq\nEOiGYGmlynHxFI0upjAxFmN5tcpQrgPERwUXVRUgRBeNDuDuO5LUGwGaJkWCdvYalMo+hiEpbFcW\nOlxiXRPkBgz6ezSEGrK755HfcyIPs3vuSvKLbxwhlVTwPK895fnqV7+az372sxwcHLC5ucmLX/zi\n9mf+MYWxL33pS3zsYx/jS1/6Evfffz9vf/vbn2yFMXg6NNJa/38iS//TYPhPGaB4ottoDU+0RG+E\nECzeLvOf/+sGV26UyaQ0xkcMLEslkzYJkXW3sWGVcQF2zKAUJLESMWzNx7AlYMfNAM8XaAQsrCp4\nvkauL7rvpi6onyolCDw45f0bMwKOa90MBS84qdqvsHiQQpBgpr8GdDMPFBFGABeg5mlUgjQxUcAJ\nu2liXiDwRbyd7aqKwuJejBCBoUH9RIJVqiuR2q7jCZJmSLn5zKrUwdIC6p5CuaGQtAIqDUHDg4Gk\ny0HZYGxYYSRnsLpioblF6vWAdMbGtDSEKiloSystZkfI/Ewc1wkQqsLIkEbMctjKN5qgF1Ioemzc\nkMBpGlLFLBHX0DRBpeK3hxxamg0tFbPVDZdUUornGLqgUg8oFV36eo0zaWAzkzaaKgjCkPMzcY6L\nslnnBzA+YrF0u0a11jnZqaTKUM4gbitNrQZ5IIMQtvMNwiDEslRWFmooAoZyMiNWVYEQsLPrtJXR\nllfl8WhxiZdXqwz0GdxxIUHgw+GxQ70RMNBn8s3HuqfrLs8nCJH3ztxUjPxeg+OSj+uF9GR0ri9W\naThBcxuSStffq/EDz0vyg/9DCiFCPM/jwQcfJJvN8uijj3L16lVM02R+fp75+fnI9n7gB36AlZWV\nrv1oxRe+8AXe8IY3APD85z+fQqFAPp8nl8s97meezHhKgC48MaWxs2xynugAxT8mDHLafULTNI4K\nDf7vL+b5yt/tUyjKjGn/0GUoZxDTdL55tZP1XJ5PEosb1LCZmk6jqiGDAxqHNbnNlOVz9baC26Rz\nDfcFNE5lq2c1u5wz6F+y2aWefpFyvfv3KULwyHqCi8MVdCXK6VWUsy+njWKS87019ipna7QeVA1y\ndhUIKTRihE32xWFZ7cp2/eD0b+z8W1ehWA45KAXUXYEmQlZ3AoJQELdCBnt9YhmNm2sqU9Mp9nZV\nDEdjLOmjCp+NjSqKpnP3s+IohPi+FLqp1aPNwNFhi4E+E98PqNcDUkmfYklOepXKHpoKiysyC5SN\nJoNETEMo4LhhG4j3D132DyUYXp5PkK8HhIcuF+bi6JqgUvM5LDiMDkppyNPsg+GcQU9Grmymx22O\nii7b+QZBAAO9Gnv7LjcKnaVBKqkxmJXc4HJF6vpCB4jLFY/RIYvrtyooAgazBr0ZqV3sN7nHraZh\nudKhHF6aj7Odd3DdgDsuJPADOCq4HBUazE0nznTpmBq3SSbk9TIxZrG771A49vD8kNyAybt+bpLe\njNq2r9I0jc9//vN85StfYW9vj3vuuYf3ve99vO9973vCDbXNzU3GxsY653N0lI2NjWdA9zuJJ6IA\ndtom54ls49vFyVKFbdttnYT/879v8tnP71CpymxELk91coMxiqUAxwkZGTTIpA1QNAKhoMXjpKw4\niZjKWj4k1aMRhgFW6HBQ0nH9DqjGLUHjxErV1EIqTnRfTS1o1zxPxsnvaYWtBxQb3ZeHZYQcVwVX\ntxLM50JsvUFrJdXwH/9YblZ6cc7YDkggdYljKVWW9jvZsOt3Z7vlhhKp7dZcQcL0KVYUvnFDJQgV\nehM+e0UBCCYHQ5a3oVIXUofgdp25UYEXCEaGLFQVgnqVw4MqlbpgdMjG8wNuLElRcUXRmJgwyCRV\nAt9HU+HR62U2tqOZ/mDOZHzIpOFK4DUNQcOR2gc7uw0mxwQLN2T5IR5TGByQvODAD1FU0QbicsVv\nuxWfm46hKgr5fel0oenS+y2/12B6IsbCrQpb+eh+ZFIqo8MmILBsHdvuAHEqoVGrBdxc6jAnUkmN\n3IBBT1qj3gjY2JIP0iCU2e7+ocOFuQQLS5L1cRKI6w0fXVO42nTcOFnSmBqz6e81KZV9Lp1PEARQ\nOHbZyje4NJ9gcaXK7bUoV3wwa/BTrxzhJS/so16vU6022gnLF7/4RR577DE+85nP8JznPIeHH36Y\nhx566DsWWz/Lav67FU8Z0P3HMt1/zCbniW7rdKZ7ulTR0kn4+gMH/L/3HpDfd0glFQgD6k7Ixfkk\n69suj1yTSGnbCs+6lKHhCFxfEE/HqAYxLg7q3NqC2TGFuhui+w77ZVDNDoApIqTciAJaT9yn7ESz\n16QVUKpH36eKkJrbDYaqevZxDE+kLDfySeZzCrYus7rj2uNfTlVHw3EFhuFzVrnrsKajizgnOcZw\ndrZ7Mrs11ZBb6yqbhx3f4yCUDckwFOSLCn0pn4OiYOtQYWQg4OpKyFi/x7VFh3Q8JJvRUMwYY5MW\nPfGQxdtlMj0xxgY1tnak5ZHj+NxcqhACQzmL3iZIrW3UGB+xKBy7PHCCfaAocnJreNDA82Q9tdXB\nr1QDVtZrnJ+1uXm7juuGJBMquX4Du8mvtS2Vh690luoty6HRIYuejEF+z2F2KoaqyjLGVr7O+IjJ\nzq7LlYVonThmK1w8J90ugkDyfrd3G20esKIIHjgxXdcC4nRSJQgFK2u1NqNmZ9dhZ9fh8nyCzW2H\nWt0nN2DQ16OjqoJq1SeZ0CTP+NQl1NejMzcl+cBzUzEJxM3s/PL5JO9+yxQDvSrlcrk9VVosFvnl\nX/5lFEXhr//6r9tZ7Ute8hJe8pKXPO719u1iZGSE9fWOzOjGxgYjIyPf0Xd9J/GUAV04W1P3yVQA\nO72d1vefFkQ/Wbdt6SS0YmYqhh+oLK018AMpkHJxPsXuYcjatsfEeBxL0Qh0m7FehcVtua+xmIpb\ncLidh/OTCnsnWD2DvWFXaUE7a4jsjJ8dtwKKZ9Rzg/DsckvlVMnhRj7OXBYyMQf3cbi7qgjZ2Ndw\nA4X5oQDnjFkLXYF8oduiyPUFpgq1Ew20ckOhJ+azeyR4cF1ewiO9PpuHcp8LFYWRXp+NA4EfCHRb\nQVUC/EBQqqvEbY/1fZX5KZUbt31ARdN8BvsUjgt1+no04ragUHCo1kKMlIplqcxOJ1jZqLK102Br\np8HMhJRJbDghg1mT/j6D/QOH3X2HgT4Dy1IiYGbogqFhk1y/QRDKkWOvPeTgUyrXmJ+x2NxxKFcC\n0kmVbL+s9zccn0RM55FrJXxffia/J4E4k1YZGzYplgJGh21UVWbM2/k6gwMy+37wkSgdzTAEz7qY\nxHFCfD9kZNBkKy/ZL7Wah21afPOxUhtsW0CciGvommDxdrVdQ87vOeT3HCbHbGp1n+W1Gtl+CcSa\nKqhUfWxLYXmtxs3lKAvCNBTe8oZxXvq/DNBoNKhWG9i2jaZpfPWrX+U3f/M3+bVf+zVe9rKXPWnZ\n6I/+6I/ysY99jJ/4iZ/gvvvuI5PJfNdKC/AUYS8A7emWw8PD9tPwiVrx/FOj5ZMGdImVHxzW+T/+\nn61mJzuk4fjU6nKOfWgozuaOg6IIFBGSSOhkB2yq9ZCGA0PDMcJQRY9ZuI6PsBJUG4JULCQVF2zs\nye3PjOsUqp3fMjcScliNguRA2qd2inKVtHwcL3rh9sQCjqrR9wlCvEB0cWNVEXBcVTkrUx1JlQlV\ng/CMv8X0kIUto/ndARdG3Qj1C0IKJZXtI5XxAZ+KG/0tuhpGsl1dDdndD9nYV2iNtOlqiKZBrcmq\nMLWQIOzQ4IZ7fJa3mscm5bGyLS/t8YGAq7capOLg1Br4XkA6FnDthnxYzk6YbO3UOGjWXg0dLs5Z\nBF7A1k69rdXQCsMQXJyLU6l4WJZKteazuV2nVg+wLcHsZDxSn7VMRTaxMhq6qrCyUWuDaSsmRg1q\nNUmzyqQ0Bvp1LFOlWvMwdVjZcNr0tpP7cX4mzt6h22YqlKty9DcR1+jN6F22Q4Yh9XyDEFxXMhW2\ndxtttsGl+USTSifBtgXEMUvFNATLa7V2jboVPRmN/l6DxdtVsv0GvT261AupysGRd755isGsRq1W\nQ1EUbNumVqvxG7/xGxwcHPDHf/zHDAwMnL6kvm2cVBjL5XJdCmMAv/iLv8hf/dVfEY/H+cxnPsPd\nd9/9hLbxT4inNmUMZK3W930ODw+Jx+Ptk/hkKoC14vj4GEVR2qI0hmG0+baf/fxOpIus6YJL55Is\nrnZm2zVVcPlSmpu3G9IK5lyScl3FsjTSaYPFdY9nXc6wV4T+uItta6ztSSDKJEE9YVqpiJBsnxKh\nfNl6gKp1+KuGFmIoAQiBcyojTphBV2kiYQYcVbsz3YQRsHN89rEMPJ+kFdCTDruaXeUqHFY69V5L\nDxgfcNv7bGkhDy9LUI6ZIfFY9zDEYMqj5smH1e5+yPqewmh/wE6hs59DPQHbR0rk3xsHneOQND12\nC/LvgxmPpc0o8CZj4Dca5A88+tKS/XD9VpFkTGV8SKNRc1nfqrF30AGWvh6dwQGDhuMj8Nk/cLuA\nRxFw1x0pPE8u74slKZzj+R1zzFvL1fb1EbMVhrImyYSGbgjW1uvk96NA3NerkYyrrKw36ElrDPQb\nbecKoUDh2G+XJE7GHRcSFI7lSLSq0tYXBunLdrrpZRoKs5M2lq1Sr/tNY80OEE+OWdQbQbsp1wJi\n21LRNMjvOl0PJl0T/NSrRnjlS3N4rtOmamqaxv3338+v/uqv8va3v52f/Mmf/Dc7AMHTBXRbwjct\nsP2XUACr1+uR7Bnga/cf8tnPbxOEIYbeHHAIBbqmEgqFwyMXxw1xnICejM7IiBRAKZY8BrJx1vM+\ncxMmm4cqtQY89844ng+bOw6WpRLqNmEThGRpoQNgwz0epqVAEOIHoZxII6BcVyhUQo7LEIaCyVzI\nxoFCzAwZ7BNkEmCZgBDNrDM6dLBf6QbdmB6yW+x+3dIDtpvg1pf0GRsI2uBuaQE3t7vLBv0Jl1Q8\nQAhY31UjJY6RXp96cHa2WymHLKxL4DR1OX3XOJG9Z9MBu8ct4A1JxwMOS02HCTOgVA5wPIGhhYSe\nR7kO/akA1a9Tr4cIRaFUrIHvUSq51Oo+CVuwsCgbSX09Grk+jVrd5/ZaFdcNODcdo1r12NypM9w0\nvgwCqaMQhpBOaV2yjJomuHgugdpkNBROMA9AAuDegXNCHEdlMGtgmwJNg529DvugFbYlmByzWFis\ntTNM01Co1QPqdQ/TUFla7RY6mp2yCUOwzI485Ha+geOGXJ5PsLxWjWTSpqEwOmTS16NTrQUcFFx2\n8h1BpkxKIzfQGY5oAbFlqsRthTe+dpTxEbNNpbRtG8dx+O3f/m1u3rzJJz/5ye9qjfVfKJ76oFsu\nlymXZaEzHo9jGI8vyPJE43TdNgxDdF1nbdM5s27b16sz0G9x88SNZuiCSxdkduv5spb77Dt68MOQ\n/L5LIp2iUA44P6WzdywoVuShv+N8gnyhk73NTOgUKgqZmE+tLM0H1/ej53dySI18BmCoD/aOo+9r\nZYYxK2RsADJJgaoJgoCuJhxAEEC10V2iSRoea/ud98etgPlRv0nbguXds1kNU/11hAi4tnGavxsy\nOhBQO1VmSJsOD9+KvnY6203aIZV6J1POxDwOyrLJJkTIULJBuRLgOAGO47G+UeXwWALK1IjG7dUa\nvh8yM6azvlml0BwaGMnpaErA4gkO7/lpE9/3IYSNrVr7vSBr6hfm4mxs1env0yX41QI2d2p4XsiF\nuSRXb5bb9VmQy/vpcZtEXKNaDzg6kk2r1jsGsxq6prLeZBgkEyq5AZOYpaCoUCh6rKxFBxYEcH7O\nZnlVlhX6e6XNfLUWcFRwGBm0uHIjKn4OMNBnkO1vloQEbVlL14PJUYu6E7Kz28lgW2WSgT6dhhOy\nu99gJ9/Zd00VvPblQ7z25UN4Xie71XWdRx55hHe/+9288Y1v5Gd/9mf/TRtnnoinPui2NGgrlQqm\naT5poHuSYtbSSdjaPua//LdtvvoPx2TSGumkhmEIFEVgWRqlakC1FuA6AQ0nIDdgopuGVOjXBIYu\nSGUsbtyW2cQdl/skCNRdzGSM/YI87HMTBseNjnxiJin5l8XjOrdWPQwN7LgemdJK2BAIrZ0Zgxzx\n9RGR1wBG+gI2D04PVATYRsi5CZWq16nf6mrIUfns5prv+hRPCejoasCdUx638/rjUsU0JUQLXQr1\nblCOGz52TGnXiOOay0PXA7K9gsKJLFwQ0p+Go0pnGyebagBDPR6NRsDycpn8gc/smMKNFXnQelKC\n0PPYPZSAOTygcnDQoFQJMHTB1IjabBpJYJ4eM9CEx/5BrQ1+IIFpbMgindLwvYDDo0YXnQtgbipG\nGIaYptTOaAnheL7ku65u1CmfEFm3LIXhnE4mpVJvCPaPHHZPiNQkEirjwzbXbsqEI93OKhU8P5Ty\nkGcMW0yNmxRL0hutv1dH1xQqNZ/8XoOpsRhLq9UufrJlCi7NJ6k7UgappabmeXIYYzhnsbAY1WAY\nyplMjFq8+keHmBq3qNXkQysWi+H7Ph/60Ie47777+NSnPsX09HTXfv4bjqc+6LYsRcrlMrquY5rd\nS9on+n0n+batuu2X/3aP//3/2oxI3gFMTVjUGyH5/Q4Carrg4lySq7c6S7qJMZtQ0dk/kp+/+44U\nng83bje443yC1T0JHqoC01NJao2AhO4R+B62pXLjhKHuzKjK1lEU0GZHlAjgAIwNhJFaJzRr0kiU\niAAAIABJREFUvbp0Dj4ZQz0+6819GOwNmRlTqbgqCTNgp9Bdz7X1gK2Ds6+vgaSHbihnsiMAMrbH\nrVWPnh79zEGOkV6PeqAR0xwevCb1ItKxAC9U8cPO+/uSAYVqRw5QESExM6DmKPTYLqtrVTzXZ+eg\nAyIzIwo31+S5ipmQioesbUkw600pBJ7H7oH8ezouGBkIOD52WFqt0XAkxWt00MD3AlbWqtQaAWPD\nJoausHi7imkoDA+aJGIqjutTOHbozRhcu9kNgIMDBv19MkkIww6fNQxhbEgaUG6fKCXEbJWhnFze\nN5yAzZ0G+wedvwshV0gLixUcNyST1sj2m1iGQsP1iZkqD1/tnhzrzahk0jrlsk9vC4irkgWR7Tdx\n3JDtfLQ+q6mCu+6QYjiBT1vEx/MlHe1VLx3kp141TBh4bQaRYRgsLCzwzne+k5e//OW87W1ve8LD\nSevr67z+9a9nd3cXIQRvfvObedvb3tb1vu+CxsLjxdMHdFvOES19gycap73VWuD99/cf8L/92Sbb\n+QaaKujr1UinNOJxDVNXye87HBa8thVMtl/HMDW2d+WNq4iQZ11OUXMUTF02hOJxneXtkGotJGYL\n0n1JqnW5RB7LCjZ3A/YLEiiScYFh25GsdmZc6wK80azGQSn62lg2ZPswCmq5TNBVggBZEz39nWNZ\nGMsp7Ja7M9KEIelXZ0VcczgsBgwPWpG6ayu8WoPNfZjIQT3sXpkIETIx4PHgtSDSnBsb8NkrRd8/\n0uuRL3b2byjV4MqNCkfH8hJO2KAqIYdF+W9FwGhO4fZmU0tBhdEBuLkiwStmCfqSAXgut1crFMs+\nMVthasxkZaNGsdR56Gb7NLK9alsPdzuS4YZcOpfg9loV21IY6DfQVEGpLGvA52ejTbRWJOMK05MW\nvi8IAsHhkcNOmyKmMThgRrLKRFwKsWdS8sG4vFrrEqmZm4pxWJDjyC1RHtMQVGs+tiUz+tPZrabC\n/GyMgyMpN6mpHRaEoSuMDltdY8uaJrjrUpLXv2qEczOxtmJfyzL94x//OF/+8pf55Cc/yYULF/hO\nYmdnh52dHe666y7K5TLPec5z+Iu/+IvI932XNBYeL54+oHvSV+yJxOm6rW3bbb7tf/+rXb7xYIHi\niexWurQmuXW7FrlhbEvh8vkkBwW5pK01ZIlhZjLGzZXOTXD5QoK1XaXdOLnrjhSHxZC45rK61SCZ\nilGqdg7/HfM2K/nOeYxZoOh6RF+8NwU1NwqMqiKbe6cFbU4vwVvvDfxu8RtVCQj8kMF+haGsTrHe\n+Zzn+pRq3eBtqLLm5weC8UGBZhmR8kbSCrhyq3M8ZkcVSk40k1aVkHqxwnFdw49kwiGjA4L9Umc/\nTD1AUSTNTffKPHqjwfSwYGW786mepHTsLTePq65Bfxo2dptqYsC5MSgdVzkuumzsNJgaMalWPdY2\nOxmeoQtmJy32Dhr0phQWFsttLVuA3ozOcM4EpGJca2LrZIwMyazY80MySY3gRIY7OWZSKgddLIiY\nrXD5fIKGI5uyB4cuu80Mt6XpcP1mRZYV6JQaYjEVQxfcWq5ydBzV5Ozv1cmkdBZXqvT36vT3Gm0t\niND3qTXCUw8RGeem5couEddQFEG5ae7peiEv+3c53vgTIyjCbycvhmFw+/Zt3va2t/HiF7+YX/mV\nX3nC06DfLl72spfx1re+lR/6oR9qv/bzP//zvOhFL+I1r3kNAOfPn+fee+/9bnFyn9qCN/DP09Q9\nWbdtUcwOj07o2za/LpNSyfabpJIaCNg9cNE0oHk/jg6ZaLrKQ491JhcMQzA7neTmSuemveuONIsb\nIboWkoxBJiGolGpsrEut1Mvn4yxvdn5DOinYONUsG8mpbOxHf0dfSmXjIPpargd2j0+f/5DDcvc1\n0Z8K2dzvfj2bDlnNw+p2wOp2g4khCb6eL9gsnl2vTcd8NpvZ6dpOyJ2zHqUTD4TAi978Owc+qZQS\nKRskdZeF7YDZUY/dSGYrKJRCDC3AaY41N1yF8X6PxeUqG3kJVstbIdPDsNIcMDkqhQxkBJ4XUnfA\n9aBQhmyPQsMNSZku9z94zOig0eRWw61Ved5mpmOIIGRxRdrkhL5PteKgoHJ+Nk657LOyISe3anUP\nMLh+s4znh1I+st9A0wTliksqaXBlodNEa1WMYrbgwqzkbQ/lTLIDJgeHcvCgv1enJ61Hhi0AEjHp\nJoyAajUgnZKauyBlInNZg9X1WhtspeyigWEoGLpgfbPe1tptaUFoGrIsdrNGb0bnwly8za0tFF2y\n/eaJ7LZzXQ/lDN7xH8a4NJ/AcWRJLR6PI4TgT/7kT/jc5z7Hxz/+8Sd9ib+yssLDDz/M85///Mjr\n32uNhceLpwzotkII0dZ9/cciCAKq1Squ60bqtv/tL7d48FvH7O437WTCzndrmtI13ZNOqszNJKnW\n5Sz65fkYrhfScAIG+m0aTsDFWRPPC0kkDTbzdQLH57gUIlIqqhrjcEfeKLYJ2/vRh8bYkMXqbnTf\n3TM0FIq1bsDUzzjDfcmAg1J3SeCsiTUgIrUHHfC9OBFiavaZpYNKNXoOHl30efZ5QaGmoSohy5sB\nJ5OBck3Qn/aoNcsMlh7y6E3ZiV/aCJgc9SP7XK4LhnpcHE+WfwaSHt94sMBoNvq7bm/DxKBgbUce\n070CDPYKdg4D/Ka2Q1x38Kp1HrklAWRty0FT4fK5GNeXJJthZcNB1+CuCzaO47G4UqZcCTg69toN\ntZitcnEujuv67O457YyzpTA2M2lTqYasbZYltSylEYYhB0cOiZjC/qHPtVvdlK5nXUpSqXpYlsKF\nOTnwsH/goGkwNRHjW1c7k2MgM9zREYuYrVAs+ZHlauHYQ9MU0kmNx65LsO3rkbKThqHgewG1esCj\n12XNd+/AaWtBzM/ECQKpsXDxXCIy+fbi7+/jp1+TQ1ODdrPs/e9/P3t7eywtLXH58mW+9KUvfUc6\n1N8uyuUyr3zlK/nDP/xDEolE19+/lxoLjxdPGdB9Ipnu6bptOp0mDEP+/r4DPv1nG5Fmga4JxkdN\n+nsNHDfksOCiqR0gGh22EIrCN69EGxPnpuOUqrB2QuruWReTfOt656aK2Qq9vXF2DjqoNjsVb5P2\nAXrTgvVTGW06AbuFEEMNMbUATQlI2CA0hYStUKnTXMqHHJ2R0cZMwcHpPkoYclDseiumHrB9eOZB\n5MZtl1jMJzcYp3KCSmZqIev5KKgCXF92mZ1QMNSAZad7v1Z2YHbUo+RoKF6DRnNVGyKzMNMSESbE\n9pHG5KDMOO97UGZeSxs+k8MqK9tBazfZ2g/I9ijsHsnjunMomB1VKRdrXLleapdoZid1dnY9ytUQ\nz4frSw0G+w1ULUQXAfl8jf/vWxKoNE1wfjZBGAYsrdTozWgkbIUHvtlxykjEVUaGLCxTGkI+fOWY\nVoK/vlVnfQtSCYVc1mB902EoZzI2YuH5IQcHLkKFuKXyyBlNr/nZGKoi3TPmpmPs7jttrd/BnMHm\nVr2tZAedDDed0imXPda3O9SygyOX46LLxfkEC0tVfD9koM+gv1dv6uJ6xGMaj5ywJWpNzQ30Gfyv\nvzTHsy8nqdVqBEHYBr/p6WlWVlYYGxvj6tWrDA8P83d/93ddGel3Gq7r8opXvILXve51vOxlL+v6\n+/daY+Hx4ikDuq34dpnuad+zlk7CreUSn/38NoWiR8xWiNmira4/OW5TLHkRKxVNFUyMmWT7TFwv\nxPVlGaFU8qk1fKYnk1y7FSXDX5pPsLDSqY0ZumB0NMnGTufGiMcUdg5Dcj0BpupTq3lYmsbadhWh\nNM0jBQzYBmsbQcRiZnbcYGVbblNVoL9XY3hAA0+hz1ZRNA0vUKk0BMeVs0oLsHN0xuvJkFJ3SZKB\ndMjKFhSrAbVamdmZeFuTN2X7bATd31V3BHv7DqYBj1fy2j30yfXDN69E64ilKvQmGzh+p1aviJD9\n3QpHJxpGYQjrOz5jWYX1XXkOHReqjZBUDMp1GOsPePChI3rTKgO9GjtNxsnSmkcipjA3qXKrea4E\nHm7NxUU2R8sVj3rTgfnGUrU5Ohun3ghQFRjKSjEZkFmgImBlvcZx0UPXBROjJqmEhucHKErAyrrD\nrWUJgC3VrdaU2sZWnWRc484LCRw3IL/vUKn4zM92T46BFLLJDhj4PmT7DYIwbDf8dE3B88KIN1sr\nw43FFMIAbi5X2iWPVoY7Nx3jsOCxtFprCtsY7Qx3bjrGW94wjqGHlMvltrHq3t4e73rXuxgdHeXP\n//zP20NE9Xr9CbMUHi/CMORnfuZnuHjxIu94xzvOfM/3WmPh8eIp00gDKRjeYjCk0+nI307zbR+v\nbgvyoj83E5f+UV4YcUkFmJ+Nc3TsRcZBQYpJO55scqSTGrGYiqYqmJaKHyj4QYjvycZaIqFzcOQh\nFIEimpYwWZsbtxttY8nJEZOtUzXabJ9GsSqiDbS0QqmmdBHcx3OC9VNlidGsio9gdNhG0XWOKgp+\nIBjpDVjd7QbCTMxnt9D1MoMpj6WtE1NKOjzrUpzDioatOKzlz750cpmAg4M6hm1R97pvQCFCcok6\ntzY4U8dhdkxrO0L0mDUevlImGRPYlsrRCREgU4eetEL+sLMfsyOCw/0KN5c7qw1dE8yM61xfig4V\nXJwxCF2XBx89JRSjCyZHDTwPVDVgb9/l4Chan04nNabGLXRNqnJtbtcj56uvRzJfllfrxGOS/hWz\nFBxXSny6fsj6Zrcrw/SEjeeHWKba9mTb3pXODBfm4mzuNLps4/t6NGam4jQaAeWKT77pbQYdUfKr\nN2R9WQiZufb16hiawDRVHrtebF/3rejN6LzjzZM879mptkWWbduoqsoXvvAFPvKRj/C7v/u7vPjF\nL/4XW85/7Wtf44UvfCF33nlnexsf+MAHWFtbA76rGguPF0999gJI0PU8L+JhdrJu2xoNbukkfPXr\nh9Kq2vObTQQP21KYnYpx/VYlYokiBMxNx5q2JVCp+uzsSaERIeCOC0n5mRMTRmfxdEEaFF5bjL72\nrEtJri9HuZYTo3G29qI30dyUzcpW9LXz0yaL69HCa38aDoui6wRODiusnABLy4SZCZt0WqdQ0yMq\nYkk74OC4+xJQRYjTcKmfamorAp53p8XCWtg1iCH/HoJbY/cwIJMQ9PXZlBpR4M2lHB6+WmV6VGWv\nqHUBr21COmWQND3u/2Yna+tNK4QolE8c1rgtsEyo1CCX8nj4sWPitsLQgMat1ejOz4wb7OxLB4Sp\nQYWrN6UlzviIBMSby9V2FtjXo5KKCTZ3HEaGDDQV9g899g89BCGX5uMRGphhCEYGLWI26Kpge88l\nf8qFV1Ph4rkE125WSMTlpJlpKtTqPodHDYZyUsj89O2aTqqMjdh4XoiuN73K8nUq1YBsn0Eiobad\nH1qR7TfadvP7hy7b+Tr1RueLZ6ZiFJrUMkVAdkByghVFOky8+afGsc2wPQ5vWRaFQoH3vOc9WJbF\n7//+73clPU/DeHqAbmsq7fj4mEwmE6nbWpYl67Yn+LYnQwDPupykXpeTSLVGwHZeGu3pGlLIuUk2\nb39GSO5jLK61GxmOIzMKFNB1nY2d6M19FuBePp/g5mr0Jrw4F+sC0ukxo71kbkUyJvBCFfeUO+/s\nmMbSRvTz6QSUKnQtSyeHFG5vyfeODRkM5ixCRcc0Qm5v0xWDmYCljbPtgMf6PBw3RJixrjHe4V6f\nRxc6v902YXzE5qgqM9eBVMCj14ptYJkYhKOaQRCeGgAZ8vnWtQrO6cGOfoVSTUQGPmZGBIf7ZRZX\nouf7/LTJykYj8uCYG1dRQo9rtyoREAI5cTUxbCAIuLpQadvLnIz5GQtDEzhuwMGRy95B5xgNDmgY\nhtqmnrXMG01TEHgh1XrA8lp3E63FrW1lobomebLb+QaTYzYb2/WuQR0h4O47U9TrfpPOJXm1DSdE\nVeDS+U52C7R90/p7dWxLYXffYWunEbnW0ymNt/3sBN//vB5qtRqe5xGLxVBVlb/927/l/e9/P+97\n3/v4kR/5kX8Vzap/BfH0At1CodC2+GiZTC7eLvOp/7LB9m6Dvh4NQUix4rOddxhvZgpnubU++3Ky\nnb1Wqz5b+Qa1uhznvXAuwY2lauTiBDnOubxWx7IUejM6MVtFUeRyrVwNCMOW7i8kEhoHRTgq+u3s\n0DIFiaRFsdy5sVVF3hh7R9Gb/cK0wa316GuZpKBUhdOl7blxjVtr3WCZ6w3ZOVXGUETISFYlN5Rg\n51glOFGj7Y+7rJ5RPrCNkNJxnYYLpgHnJm32awZCKJh6SOGoQuWUD6OmwtykSdXVOdgtUShFd3py\nWOWoqrWHI8b6fR761jFD/Sp1T6F06vvGB1V2C9KNYioX8tAjB6iKYG7S5PpSx+UCoC+jNjv8Hinb\nbw8b2JbCzITF3oFLfl8+DMeHdBoNj83tBv29OoMDJp4fsLZZx3UDzs/GI0AGspE2lJNqYMelgO18\nI+LEa+hwfjbJlRuSfZDtl0t7TRVS+jCu8di1qB06dIYjCkWX3h4dVRFNbYQGmbROIqZ2AbiiwKVz\nCRRV4PshxaaWQquxNzNpc1z02txgVRUMNYctxkdt3vCaEZJxQbVaRdM0bNumXC7z67/+61QqFT76\n0Y/S39/fta9P43h6gG6tVqNUKuH7PolEAk3TKFdc/vN/Xe+q24Ikhmf7Tao1n2RCThTtHbjsHTht\nB9TFU5qjQkgWgh/IsVRZZmhQq4eYRtP99Wb3hM6F2QRXTpHkZyZtNvNSgUxVpTpTOqmRHbCo1cOm\nVKwAEZJMaNQdgRsoVGpQqMj6omlq1KJJHOcmNG6tRbMfQ5MiO6ffO5pVWM+f4oQB47mQ25sSAAd6\nVaamUuSPVXQVjotupEbZ/q5ejxsr0Yx9NKcSS8ZI2CFXbjW6PyR/IfNjAVeWz77cJoZUCjWN4Z6A\nB7/VKSn0pBQsW2trVbR//7hKvdZoW+C0YmbMYO/QPzF0EjI3puI6Lsclr8uCRwiYn7aJW3DtZrkr\nowSYnbQRIsQ0FFw3YCvfaDevRodlU6s1XCAEZPsMejJa087HZ/F2vYuSNz8bJ78n67ODWZOetN7W\naUgmNVbX6pSrp7Jb4M6LCY6OPckjD6HQtHMHuHQ+wdUblchDQVMFYyMW/b069XrA4XFU6SwZV/mP\nb5zgxd/fS71eb1MrNU3j61//Ou9973t517vexWte85pnstvueHqAbqlUIgxDKpVK24ZdCEHh2OXK\n9QLXbpVZWm2wtlFnZMjmxmK5K0tNxBRmp+LU6j6mqVKrSb3RSjWgJyOXhCfHL0Euz+64kJCZqgKe\nB6WKx96hSzqpY1lq23uqFVPjNvkDt2sZe+fFZBdXc3zYZHvPjdycugaX5m3qDQXL0lAUhQCBFyqU\nqgrVU/j2eFnuxJDCylY3mPSnQ/IHUWQd6JVjsLd3T0+ISR3cwlG9q8wB0JNoUt8OzibLDPWGXL1+\nzMVZk43Ds4WKzo/DtZvVroeGbUmvuY1m2WWwT+Fwt4hCiG4qbOxEHwLJuEK2V6dQ8tBxIxnh1JiF\nrgtuLdcIkRn4zo4cLFAU2ShNJTQOjz0OjxpMjZ1dZx3KSY1d15OiMJvbjfZDqiVk3lL20lTBYM4g\nlVCBEF2HR6/Vur6zJ6Mx0GewvFpry0eGoeTM+kFAzNa6PMdAmj7apoquC4IglHq4TRnGqXGbSjWq\nu2sYgqGcxR3nE/z7Hx8mnVLabB/btqnX6/yn//SfWF1d5ROf+ARDQ0Nnnq9n4mkCuq1GWqVSwfM8\nFEWKoPi+3xbBaUkzrm3WWbhV5vqtCguLZdY2apyfS7C6UevKaHQN7ryUol6XTbNyxWNzWwJMMq4y\nPipVnk4fykvzCQ6PPdJJHdOUTIjDIxc7pnJQCLrm3J91McHVW9ESRyKmYFoah4Uomk2Pmaxte13b\nnJ82WVxtMDRg0JPRUTSNckNBUdWupli2RyF/eEaWO6hwe8Ptel3XQnQlwPNDJkYM6lhUGnLKbCjj\nsLjW/V0Ao30eC8sNLs/H2CpEQVWIEDOssJWXv+/SnN0Fzrlewc2FA/p7NUKhcXxqxa2pshEGIY88\ncth+OAkBF2Ztbm92OL8yu9VoNFwcJ2R5rbukNDFi0JdW2d6ps77dnZ3Pz8QoldymyLhCqeSysSUz\n1qnx7hFeXZeNtGy/juuFbO00utwhTrIPTENhKGsQj8sxYU0Nub3W7Q4hkOPkqxt1+np0EvGW/oPL\n4ZHTbsydbO4CpBIqc9MxXFcyJQ4OOuPEMVvl598wxg//T/2R7FbXdR566CHe85738OY3v5mf/umf\nfsISjG9605v44he/SDab5bHHHuv6+1e/+lV+7Md+rK029opXvIL3vve9T2gb/4ri6QG6b3rTm9je\n3ubuu+8mkUjw2GOP8Tu/8zttGbkwDNE0DVVV2/+1Lpxa3efWcoXrtypcv1VmYbHC4ZHL/Eyco2O3\nS4Vf6uGmm+pKIUcnlKHiMYWJsXiXEAhIIN7caWDbCom4hmUqKIogZqts7frsHbnt+qkQcvm6uBq9\n8TNJFYRCqRK9CecmTW6tdIPExVmLlQ2HoZxBPC6Bq1BRGOxXWdzoBsqRAcHadnfKOjumNOuitPdv\natQglTJY2Q67lskA6XjIzk61nemdn7bYr5ptvdvxgYBvXYnSsi7P2aw1gdfUwa+W2rXVdFIhkzYj\nVDAIGevz8L2AjV2XajV62fakVfp6dUplD+G7rGx0gHYoa9Cb0VhalRoaF6YtllerbdfmTFpjZNDE\n90MOCw49aZ2FM85rKqkwOWoRIvmwewdOG3gTcYWJ0RhXb3SeFi2qWDKhomsKt25X2sMNrejr0du2\nOlLEXMcyFRwnoOr4qCgRTYhWtHQdVFUQsxUaTtAenpBauEGXAHoipvL9L+jhda8YpjejRuxzPM/j\ngx/8IN/85jf51Kc+xeTkZNc2/ynx93//9yQSCV7/+tc/Luh+5CMf4Qtf+MJ39P3/yuLpAbphGPIP\n//APvPWtb2VjY4MXvvCFbG5uMjc3xz333MMLXvACZmZmgI69j6IobQDWNK2dHQPsHjRYuClB+Pqt\nCou3JXthdNhCVWB1I5olmYbCHRcSeH6I68JxyWVn18EPJBCPj9osLEZrxIoCF+fi7XqvoQtyWZN0\nUieZ1Dg89jkuBc0Gk0BRYHLUZnXz1E0TFyhCRJpvIHm9haLfVUYZG9JxPcj2m7ihRr4gCBEM9gk2\n892Am04IiiUHpzsBZmpI4HoQahbHp/zWBtMNFk+VNcYHVRxVOv/WiyUKpW60bmW8wxmXx65HJ7Is\nQzA+arG2EyJEyHCP15ZMTCVUhnNGe7ihFecmNCoVB1UV3FqpdWsLDxr0pxVKFY/VdSnfGNmf+Rir\n6zXSKZ2etIbnheT3pLPD3KTF3qEXmQAD2fE/PxPH8QJKZZ+dfIcjC5IitrZZa+vnthgNhiHQNYXV\njVpbR6EVAlnKWlisELNVsv06ui6o1aV1+/iwzY2lWld2q2lwx/kk1VqzbFaXHN9y2ccyFX7234/x\nI/9zP44TFRi/du0a73znO3nNa17DL/zCL/yzBcZXVlZ46Utf+rig++EPf5i//Mu//Gdt419JPD1A\nF+ArX/kKN27c4C1veQu6ruP7Pjdu3OAb3/gG9913H9euXcM0Te6++27uuecenve855HJZPB9H9/3\nCYIgAsIns2HPC1herXJjscK1Zka81fR/6slIi5LTWZCmCe5sAnGIoFiSDAg/kPW90SG7yyBQCLg8\nn+DKjRPOE4Yg22cwMmTRcKHhQP4waNeE56ZMbt2OZj2KgOGc3lXX1DXozWgR7d9ETJE1y7TO7a2Q\n2qkx3ckh0cVtBUnTWtuoE4Zg6oL5uTibh5Jf25sM2diqdrEoALK9gqGcySPXu5f3rXj2eZ3HFmrU\nGt2XoaLAhRmLWtXh+qnpP4C5CYujYkC9EZDtCSN1+L4eqQK2slGnUvW5MCPr+y0amK4LJkYsbEul\nXHVRhOhqqAIkEwpjwyZBIMVjShVpQum4IZmUxmC2u/6f7TcYGTLRNYW9fYfNnXrkgdjfZ5BOaiw1\nRWiy/XIcV1UFDVdq1p61LyODJooiqDd8+nq09tTYzq7DQL8c5jid3QL8j8/r4T+8bpRcvx6xzwmC\ngI9+9KP8zd/8DZ/85CeZn59/vNP0hOLbge69997Lj//4jzM6OsrIyAgf+tCHuHjx4pOy3e9BPH1A\n9x+LMJQjiw8++CDf+MY3uP/++8nn84yPj/Pc5z6X5z//+Vy6dAlFUdpADERAWFXVdjZcLHks3Cqz\nuFLlseslbixV2pmLbQlmJuNcWYgWIXVdcGFOCoZ4HhTLPvn9Bo4LhiGXqbdun7JdEbI0cZIZIYS8\nKSfHbOqNkFoD9g79Nvf00pzVVSMG6WZ77YzX56dNri/VUIRcovZmDBq+iqIqrG05XfVjgMGejvh3\nK0YHdexkDFPz2/q0p2MiJ7i9WmVmwmS3KKicEuuZHoIrN8rEbYWpMZulTY+TwmQJG5Kmj++HmKbC\n4lqUDgYwM6pjGVJ4e2e/O0UfyRn0ZVQaTsDGVj0i3SmE1MG9uVRpOyDohkKx6LKxXWd20mJzx424\nPICkWj37cgrH9fH9qCA5SBbB7dWOE0WLmpVOSfra/qHL6kY98qCStdskNxalatlQ1qQnI2vphaJL\nX4/O1YXu2m1r4GL/0CGd0hAi5Lgoh3pURfC6V+Z4+b/LEQQ+ruu2s9vFxUXe8Y538MM//MP80i/9\n0pNq7PrtQLdUKqGqKrFYjC9/+cu8/e1v5+bNm0/atr/L8QzofrsIgoDV1dV2NvzII48QhiF33nkn\nz33uc3nBC15ALpcjCII2ELd4wCdrwy2xnfWtOtdvlVnfqvPQI0Vur3WyPbk8THJ9sYx7IsNRFEmE\n13U5/lqphezsurieBNeL5+Jdeg4Al+djXL1Zbd/UioCBfoOJEYuGKyhWpZtFazk9MWzzVX3DAAAg\nAElEQVSwtt0NoNk+laOi17Ws1jUYHtBIJg0KVYWjEyv96RGVhcXujjnA9JiGCAPcQO3SdBjqE2xu\nVtvbMnTBuWmb/JHURpgaDCJZPkBPStZAlzY8BvtUCoe1SHNxKGuQSWvcXKmjKoKZUY0r10ttmuD4\niJTkXN2oU637XJiJsXCrw14RQkpzZtI6nudTr509rNCqD3seJBOyzNBS/err0ent0btMKC1TYW4q\nhmlKJ4bW+9vHvt+IcGsNQzCcs0gm1PYd+NhCN1+3ld3m9xoMD8r3Bz4cHDlouiAM6HLiBbg4H+dt\nbxplMKu1rcm/9rWv8bnPfY5YLMYjjzzCpz/96SdNmOZkfDvQPR1TU1M89NBD9Pb2Pun78V2IZ0D3\niUQYhjQaDR5++GHuu+8+7rvvPlZXV+nv7+eee+7h+c9/PnfddReGYRAEAV4zBTvZoNM0rZ0N1xs+\nN5eqLCyW2dt3+NoDR121uvkZm7XNRoTRIIV1LHp7DOqNkEJJZiktAL18Ps6Vhe6mzvSExeZ2ow1q\nlqkwMiTrxEJRWN7wIlQ1XZOjrVu73dng+SmzDfZCyJFh0zbYOZS27ofH3fXYwT6F3b069eb2h7M6\n/f0WG/tyNLdcqHXVngFMQ3B53uTqzRrV+tmX3oVplUbdZ3HVPXPUeHbSJGaGLN6ucXxGrXh00CCd\nUglDqZS1dwL8VKX5cLtRBgGjQ5Ii1nDlRNfokMnKeqOLdQLw7DtS1Go+hqFQq/ls78ppRpATh4u3\no+4QyYTaHD7QKVV9NrejbhQt0ZsbzSnIRExlsKnR0HACYjGVx66XI6Pq7d8wn2BlvUa2X3LNHTdg\nb9+hWPJ43SuHedWPDuJ7bts+R9d1vvWtb/HhD3+Y/f19arUa165d4y1veQsf/vCHzzwP32l8O9DN\n5/Nks1mEEDzwwAO8+tWvZmVl5Und/ncxngHdf26EYUg+n2+D8IMPPkitVuP8+fPtssTU1BRhGP6T\nmnR7Bw7Xb5a4eqNI4djh6w+WIu4DIJf4rYZNK6T3lkEua1GqBBwceeyfEFw5DbitSMQVMkmdjZ0G\nioDBrElvj45QVCxTaWvXnoxzk8bjZrJ3nrfxA3A8hY1dv824SMYFvutQKHYDU29GZTSrs7bjUap0\nX1oz4xrXbpSI2QozkzGW1t0I73duXOfajSJBIA06B/oMltcdvKbTxdSYxtq6tJxRFJiZiKFpgqWV\nGq4XcvlcXLo8nFhhZPsNcv2Sblap+u1a6snI9unEbIVKLWCgz0BVmzSxHUnVise0Ln0DgHMzMWKW\npHGVTtAMQfqiWZbKynrnc/29UvXLshQEciDjNI97KGeiaVJ8vGO5IzNoz5Pn4azJypnJGL/8C1NM\njFoR+xwhBH/2Z3/Gn/7pn/IHf/AH7ey20WhwfHxMNpvt+q7vNF772tdy7733sr+/Ty6X47d+67fa\nmfbP/dzP8fGPf5xPfOITaJpGLBbjIx/5CC94wQuetO1/l+MZ0P2XCM/zuHr1arsscfPmTeLxOM95\nznN43vOex3Of+1ySyeSZTTqQY8sdPzeF5dVqmzdcqXp889FiN3gmVIYGzEjzLZ2UTZt0WqdU8dnY\ncSLKUKmESiKunulOe3k+zmPXy+QGDLIDJn4g2NzzSMRUymXvzKzu4qwVma6L27IJhyKo14Mz6Waq\nEjI8oLK8Vsc0BPMzcbb2wnY3f2xQZWWt0lZYA9nsGxmyuLnqMDducPV6sWuqMJPSGBs2IQx49Ho3\nVxpk7ba/V8NxZXZ7cpVh6FKc+8pCiTCkLV8ogN2DOv09GosrjS72hxBwx8Ukx0WXVFzDD+SyPr/n\nNLPUJDeWojY+qioYHjQYylpNIZtovbeV3S4sVnDdsP1w7MnoCBFiGArXbnQDsWgO51y/VaE3o9PX\nK0eDiyWP/F6DV/zIED/58kHCMGqfk8/neec738n09DQf+MAHnrDF1TPxbeMZ0P1uRBiGHB8f88AD\nD7SbdIeHh0xNTbUpaz09PVy7do3v+77vA1puFFHucCsbLpU9FhY7vOFi0W27EJyOOy8kubIga5id\nTFZaxPihYGGx2qXYdflcjMfOKE/09ejkBgx0XaHWCNncdWkmJF2A2wpVCRkbMtjZdZiejHFYDNk7\nMXhxbkLvGo+2TIVz0zHqDcHmTqXLbaJ5VHn2xTiuG7B/6LF9aqigL6ORiAlW1muSfZHUKBS9drZ3\nYdZmcbkaeXj198rfZ+gK5arfVYMFWRJRVMHRsc9wzsS2VSmluNMgmdDQNMHaGfKLU2M28ZiKokDD\nCcnvNdpUsqGciaGLCNWw1aTr69FBwMparcsbbShnoGsKa5t1dF0wnJOavH4AjYaP6wVn8nUnRi3e\n8x+nmJ2KUavV2rKmiqLw+c9/nj/6oz/i937v9/jBH/zBZ8Z4n/x4BnS/VxEEAUtLS9x77718+tOf\n5tFHH+VFL3oR586da5cl+vv7I026kwB8ukm3ud1og/D1W2X29hvkBkxungEcM5M2ewcuxZIUZx8Z\ntIjFNKr1gGRC45Fr3eA5lJUOGSeBXdMEo0MmgwMGuwcua9sO0WsqZG7S6uIgz0zYmJaGrsGj189Q\nQgemxgwODxv09cjl9vaey1GzTpxKqPRnlEhWn+0zyA0YVOsBtinOdLAFOf7ak9JwnYCdvUYEyExT\nMD1usbAox20zKa35kBFS3yChcmOx3sUGaCl07e416OnRm66+sh7rB5JdcloSFCTIT0/YNBqyzLCd\n72gzt7LihRON1VRSa5YfpOPE4kqVwilDyZNZsa4pzQeD1H/Y3Xd5yQv7+KlXDSOQ2a1hGJimydHR\nEe9+97tJp9N86EMfIpVKnXlenol/djwDut/r+OAHP8h9993HRz7yEbLZLA899BD33XcfDzzwAJub\nmwwODrZ5w3feeSeapnVR1s5q0jlOwM3lzgDHwmKZ/QOXOy8kuHKj3MWRTcQVhgctFperDA2a9GQM\nCAWHRaklvHfgtaexOhFyx/k4jzYFZDIpjeFBA9cL2cz7zIxbXVksSNrVxbkYSytVxodtdEMhf+By\ncCS//9Ks1VbYOhmjQyaDWZNiyTvzYWJbgolhi7WNGmMjFoqqsLVTp1Bsfu+5OIsrFeonwFhmt3Lw\noFw5O7sdG25aMh15DOYM0kmdIJBjtbYpR3LPYgNMjFpYloquibYeQkvfoMUwOFlnbUkpjgyaCCHY\n2auzdUKfAeTDzzCUdlY80CedejXt/2/vzIOjuM91/fQy+wySkISEVoTQBgIRBML42ORwbuzEmCwk\nrhtDYgghlWtiG7jOTQynymUox8EuUs7FEKccV3YqTiqc5CS3gkViVyV2JZZwAWYV2gChBckgoW32\n7un7R2taMxoJsNm09POfpLbcI4lvvv5+7/e+ul5XVTSaLyTOkbNn2vg/mwooK3INxedEcDqdiKLI\noUOH2LVrFzt37uShhx4yu9vby+QoutXV1WzduhVVVfnGN77BM888k3DN5s2befPNN3E6nfziF7+4\n5cmjH5doBzsamqbR1tZmHNIdPXqUUChEeXm5IVnLyclJkKyNXOCI/iO60hMyfCXqGgdpPO8jGIyQ\nl2PH61VHHU+Ul7ppvxQYKkwSfQMq7Z1BRFGguNBhbHzFYrcJFA51cE6HxIBPnyerql7cZ0yXaRql\nMOTMtDFzhpWrvQrnW/0JjmXlJbpNYiQytMiQacMfiHCh1U9Wph6JfvlKoiNY8Wwn0zwyfQMqlzoD\nDMRoaF1OkVm5w6u4UfWALuMK43KInK73J8yMZRmKZzto6wgxI92Kwy4RDOo2jf6gytwiXTutjuiK\n3U6RsmI3wVCEUFgfM0TXfEVR/3mfaRjuio2xgUfGZhO51BWk/VKi53N5ma5oUFQ9MTglyYKGrgde\nXJHExrU5SKIeDhntbgcGBti+fTvhcJhXXnllokqwJhoTv+iqqkpJSQlvvfUW2dnZLFmyhDfeeIOy\nsjLjmoMHD7Jv3z4OHjxIbW0tW7Zsoaam5i7e9ccnFApx4sQJoxA3NzeTnJxMZWUlS5cupbKyEofD\nkXBIN1I7DKCqGucv+qhv9nKmYZCzjV7aLulbZA67wKw8J3WjFNWZGTYy0qxENPD6I3R0BQzjmKxM\nG0o4kmDcYrUKzC9x62GSV3UjmNhZcma6BU0b3o5yOkTycxwIInReDpKRahvVs0IUNRaUevAHVKwW\nkf5BhbYOv+H3UF7q5lyLH59/uNBmpFtJnW7FYdO3xRqbfQl/0FGDmu6rYX0OnmxBFIZScy0aPr+W\n8BoBcrNsyDLYrLp3woBXMYy/c7LsxigoluQkmcJ8J4IAV/t128VYE5uR3W1slI8a0X2YR3vzy0i3\n8u3HC1gw150Qn/Puu+/y7LPP8t3vfpdHHnnE7G7vHBO/6L733nvs3LmT6upqAF588UUAtm3bZlzz\n+OOPs2LFCr785S8DUFpayj/+8Y9xEUZ3s2iaRnd3N7W1tbz33nu8//779Pf3G74SS5cuZc6cOQBx\nY4mxDukGvfohXUurn6Mn+znbFO8XWzLHSUdnMO5zogjZmXayZtrweiO0xzzSRykvcVHXMGjMQz1u\nmdwsO6IkgADnLvhHncEW5Nrx+hQsFpGUJAtqJOptoJCdqasJRkqhLBZdBWG3iQwM6hacsffrcUvk\nzLQbRdxh10crToeIPxDGbpM4dTZxzGC36b7Ijed8zMyw4XZJholN/4AyZjCkzarrfKP+FLE2inp3\n6+FMw7C2VhCiagnd6L67J8zFdn+CcdD8MjcNzT6CoQjTky3MSLNitQh4/SolhS6++VgeFjkSF5/j\n9/vZsWMHHR0d/PjHP/7I/wau5wgG4/epcpwwZtGdMGnA7e3t5ObmGh/n5ORQW1t73Wva2tomRdEV\nBIG0tDQefvhhHn74YYA4X4nXX399TF+JSCRCKBSKk6xZLRKL5nuoXDCNL63KBKD9UoC6pkE6LgU5\nfKwX/wgrQbdLwuEQqT0ybCSekW4lPdUKgoAswQcjougHBhVa2nzGo31qioX8HCeyJNA7oNDdE6Iw\n32lItgDahoqrJMIn5nkIBPWYGU2z094ZMK4rneOi8bwvbnY7I02/H4ddoLdfifM+8AciNF/wMafA\nzpUeld6+oB41nho9FFOwyAJX+xTDAD3Wo3Z2vgOnUyIY0igvc+Pz65FOXl+EvGw9GfrYqfhO1GEX\nKZ7tQJJEfD7dLD86ZtA0vavx+iKcHlKEyLJAXrbulysIIIhw/PTwNlpPb5ie3jBpqRae/mYBlRXT\n8Pv9+P16fI4syxw+fJhnnnmGJ554gq9+9asfy6Rmw4YNPPXUU6xbt27Urx88eJCmpiYaGxupra1l\n06ZNE/ap8k4zYYrujT4WjezcJ/PjlCRJzJ07l7lz57Jx48YEX4nf/OY3dHV1kZubaxTh8vJyBEEg\nHA4TCASM7yNJEhnpMlmZqWiaxiOrUvD5Q7R3ajSeC3Kx3UfDOR8NzfGdYdflEClJMp0fhujtV0ga\nMnqxDR1YWS3QdTlszFJjJW+FsxwkT5Px+VXml7nx+yO0XfLjD2jkzLQDcPRkfBF32EVKCp3Iskjf\ngII8YkweViKElQinj+v3abeJZGXacDkkgmEFm0XkZEx3G40aj85865u9zMywUV5q058uesL09oco\nmu3m1NlEHbDVIrBo/jSCoQiioEedd3Tq3rqSqL/G0/XeuO41OUlmRpqFJI+Fvn6F1o7hwq4outdz\neanbCLeMHTMEwxp52XY2rc/DbtP9CmRZxuPxEAqF+N73vsepU6f4/e9/T15e3kf8ixrm/vvvv+Y2\n2J///GfWr18PwNKlS+nt7aWrq2tSNDi3mwlTdLOzs2ltbTU+bm1tJScn55rXtLW1kZ2dfcfu8W4j\nCAIej4cVK1awYsUKIN5X4g9/+APPPfec4StRWVnJPffcQ2ZmJpGI/niqqiqCICCKIh63g/JSmQVz\nhw/puq+GONvk5WzjIA3nvEQicPz0cGHs61fo61fwuPSU2oZmL1mZNnKy7CiKRuflIIGAGpeeEIvV\nKlBZMY1QKIKqamSoVrqG5r+iqCcyn2nwxnkmxD6i9/aFaY6RmAWCEc61+CkptNMxZFCTkiQbSgav\nV8ViEei8HDLeGFrbA0T/igoLnEiygD8QYX6Zh0AwQteHAfoGVGbl2gkEIxw9Ge8HbLEIVJS4kCSB\nQDBC6nRLXPqv1aovkTQ06/+dKOgbaikpMhZJxGIR+eBUv3HA6PWpNJ33kZIks/Wbs7inUg9d9fmG\nDcZPnDjB008/zVe+8hVefPHFm7ZgvB6T+anydjNhiu7ixYtpbGzkwoULZGVl8bvf/Y433ngj7prP\nfe5z7Nu3j0cffZSamhqSk5On/B+BKIoUFBRQUFDA2rVrE3wlduzYQUtLC1arle7ubhYsWMDLL7+M\n1WpFVdW4sYQsy0xzSyyrTOLflqQAoEY0Llz0U9c4SP2Qdtjtkmm7FOBMg17ELrYHoF2/H30ZQk+f\nKC91GzrXsKLHx/gDKkeOxxcxt1OieI4LUYC+AQWrVTCKbrRoBwIR45DJatGzv9wuEUVRkSSB0/XD\n3eTVPmUoS0wiO9NOfZOXzAyb0V1f7dW724Jc/Y1hJFarwCfm68nR09wyDrukWzQOpe2WzXENdbfD\n7yhul0RWhm6oMzCo0HZpeD4d0aDzcoiUZImGc3oSscUikD3TyjSPjKrCzEwb31qfj9MBg4ODSJKE\nx+NBURR2797NO++8wy9/+UuKiopu5s/lIzGVnipvJROm6MqyzL59+/j0pz+Nqqps3LiRsrIyXnvt\nNUDf3V65ciUHDx5kzpw5uFwufv7zn9/lux5/CIKA3W5n2bJlLFu2DICdO3eyd+9e1qxZg9Pp5LHH\nHsPn81FaWmoc0kV9JaKRSLGbdPk5Vmbnp7PqAX1P3+uLbtJ5qW/S1RIa+shgtNN3j1uivMCJomg4\n7CKRCEZSh9UiMDvfwfHTA3GyrIx0K+nTLTgcEld6QrS0DRfVUFjjQqufsiIHLW0h/IFIzNhDxOtT\nsNv0Da/oIVtHZ9DwRi4udKKoFnwBlQVlbl3ydUWXfM3OdzDoVTk2YuwhSQIL5roRRYGwopGeZjUO\n0YAh4xmNw8eG5+HpqbpXrs0mIksCJ84MGG8m4bDGxfYgHrfCN9bO4L6qJMCP1xuhp6eH3NxcGhoa\n2Lp1K6tWreKvf/3rmJLE28FUf6q8GSaMemE8cz398HjPfvrb3/7GggUL4p4KruUrsWTJEpYsWYLH\n4zFc1mIP6WIXOKLdT0dnwFjeONvo5VyLj7CiUTLHyYeXQ1wdsXHlcUuUFrqIaLpncTQcNEputh1N\nGz50s1oEsjL17lZVVARR4EzDKNaMyTLpqTaaznl1X4MUCwJwtS9M/0CY3KzRNck2q0BZsZtAMKIr\nB7wq7Z0B45BvXqknIYJdV0vYSE224PXpkruRr3NeiZvzF3WpmyTpWt2kaXqa7/QUC09syMft0pOu\no2OfNWvWUFNTg8ViYfXq1axcuZJPfepTJCcnf/Rf/jW4liNYrDyzpqaGrVu3mgdp8Ux8ydh45Ub0\nw5Mh++l6vhJLly6ltLQUURQNlzUgrgjHStZC4QjnLvg40zC8SRfVw7qcIgW5Tk7HhH1GZ7fpqVYc\nNpHOKyHaOuLNvkURSuc4aDqvpzHEdbdeBadTovmCLyHgEaC0yEV3TwiPW8bllAgrwwsNhbMc9A+o\ncTaQoM9i55W6kSQBRdG42htvYJORbklI6Y1Kvhx2EUkWOXlmFFMjl8Sm9Xl8ankqwWAwLj6npaWF\nzZs3s2zZMu69916OHj3K4cOHef7551mwYMFN/Y5juZ4jGMCTTz5JdXW18VS5aNGiW/b/nwSYRfd2\ncSP64UmW/WQQ9ZWIdsMnT55EkiQqKiqMQpyenm7ohq+3SXe1N8zZpkHOX/Rz7FQ/Dc3eOE1v4SwH\nA4PDkeE2q0h2pg2nUySiqigqNJxLNKFJT9Vno+dbfPHdbW+YQZ9CVoZ91IUMh12guNBNMNrd+vU4\nnkBQQ5agrFjX3cZ2t1G1RNp0K16frh0eGTg5t9jFxbYAgz4VUWQ4CUKDpCSZJzbkk5IkxcXnAPzq\nV79i//797NmzhyVLltz078/ktmIW3dvFgQMHOHToEK+//joA+/fvp7a2lr179xrXTLLspzHRNA2f\nz2f4StTW1tLR0UFmZiaLFy+mqqqKiooKI7suukk3VkJzJKLR0uanrtFL54cBao/20dIav6orS1Bc\nqIcxqupwJ2mxCAx6FTxumfomn5F/FktZkYvL3SGmeWTcQzPXrstBrvYpFBU46elNdHQzultRQFET\nu9sZqVbcLikudSKqlnDYBWRZ5GTdQII9o9Mh8s3H8njoP9ISutvOzk62bNlCWVkZzz///JAVqMk4\nZ+IvR4xXbuTEdtGiRbS2thrZT1/4whcmcvbTmAiCgMvlYvny5SxfvhyI95Worq7m+9//fpyvRFVV\nFfn5+UQiEYLBYIL5e26WngEnCAJfX5OL16dS3zTI6fp+zl3w0nVFiZvdRpcHZs6wYrNJnDo7SFaG\nneQkWTejuRrCH1LJSB3ubmMdyJwOkYp5HkKhCNmZulVkVJkgS3oqw+n6eK8Fu113+TK62874bvtq\nn0LmDBtNF/wMDKp6YGimvnIM+iHbExvySU+V8Xr1e3K73QiCwIEDB3j11Vf5wQ9+wH333WcqBCYB\nZqd7k0RlV9Hxwq5duxBFcVQznigTPPvppgmFQhw/fpza2lrDVyIpKckowosXLx7VVyLaBYfDYcM9\nS5ZlLnUFhn2HG73Y7SKn6+Mz6KKUl7i59GGQlGQLTrtEIKR75A54VYpnO7nSoxftWCRJoLzEjSDq\nqoKeqyEuxSTrzki14nZLcekRKckWMtKs2O0CFlnixCizW5tN5Otrcvj8p9MJh4fjc6LyvaeffpoZ\nM2bw0ksv4fF4bvFvweQ2Y44XbheKolBSUsLbb79NVlYWVVVVCQdpkyz76ZZzLV+JqOdwYWEhR44c\noaSkBJtNt0QcK6E5FI7QfF7PpNMP6bwoSoTkJMuo8eVup0jhLBdhJYIkCfQNKHRc0rfKZBnKityG\n61kUp0MiK9PK9GQLg16V1o543wfQD+c6OoP0DyiIIsMdN+CwiTyxIZ+ZGda4+BxRFPnLX/7C7t27\neeGFF3jggQfM7nZiYhbd28mbb75pSMY2btzI9u3b4/TDkyz76Y4Q6ytx6NAh3n77bdLT01m1apWx\n0pySkpJwSDdaQjNAb1+IuibfkOXlIA3NXnz+CCWFLrquBBNMwi0WgXklbgQBgsEIl7vDceqF9FQr\nnhHdbdTHwWoRsVoFjp3sj4uNj37f9f8zmy89nIGqKnHxOf39/cYT0p49e0hJSblNP12TO4BZdE0m\nJleuXGHevHls27aNr33ta8YmXW1tLZ2dneTl5cX5SoiiaGiHNU275iFda7ufM41ew3v4Ypt+SDdW\ndxtNdEhOkukfULjYHkiQn5UUuoyIHlke1t2qqoZFFnlyYz65WbaE+Jy///3v7Nixg+3bt7N69Wqz\nu534mEV3KjJZ7Pl6e3tHFf7H+krU1NRw/PhxNE1j/vz5xlgiKyvLKMLXS2j2+VUamr20tA3ZXTYO\nxi0zpKVaSXJLNA91t0I0iy7ZgijqErYjJ/oT/CRkSWDtl7J49POZRCJKXHyOz+fj2Wefpbu7m1df\nfZX09PSP9TOa6As6kxCz6E5F3n33XdxuN+vWrbvuVtFEN30HEnwlampqaGlpIS0tzdiiW7RoETab\nbdRDuljtcJTOD/VMupZWP6cbBjnTkHhAVzTbSffQAZzhauaU9ERfUeCpjfkU5NkT4nNqamrYvn07\nW7ZsYe3atR+7u50qCzoTDFMyNhWZavZ8o/lKaJpGZ2cnNTU1vPPOO7z88stxvhJVVVXMnj3b8JWI\n3aSTZZm06RL/fu90oyCGFd2Tt25oLBEKRfjn+73GPURdzUQRvvz5mXz1kSzQVAYHB7FarTidToLB\nIC+88AINDQ388Y9/vGnPgsOHDzNnzhxmzZoFwKOPPsqf/vSnuKIb/VmY3H3MojuFmQr2fIIgMHPm\nTFavXs3q1auBeF+JvXv30tDQgNPppLKykqqqKpYsWcK0adNQVZVwOJxwSFdU4KCk0IXwkP5z6u0P\nc3Yoj+5sk5dBr8JTG/N1R7Wh+JyovO2DDz7g29/+Nhs2bGD37t23xILxRgz+BUHgX//6FxUVFZN6\nQWciYBbdKc5UtOeTZZmKigoqKip4/PHHE3wlfvrTn8b5SlRVVVFWVmb4Sow0f3c5JKo+MY17Kofn\nzuFwmMHBQSwWC263G0VR2LVrFzU1Nezfv5/CwsJb9nrMBZ2JhVl0pzCmPZ+OIAgkJyfz4IMP8uCD\nDwL6IV1TU5ORwHHixAkkSWLhwoVxvhKjbdJFZ8VWqxWHw0FdXR1bt27li1/8ItXV1bfcgvFGDP5j\nlyseeughvvWtb9HT0zNlF3TuJmbRncKYpu9jI4oixcXFFBcXs379+gRfiW3bttHe3k5mZqZxSKeq\nKl1dXXzmM5+hr6+PxYsXU1RUxJUrV/jOd77DI488cls8b2/E4H/kgo6maWbBvUuY6oVJjGnPd3uJ\n+kpElQHNzc0sX76c7Oxs8vPzeeutt5g7dy7p6em8//77HDlyhHPnzhmuYbcSc0Fn3GFKxkxMbhfP\nPfcc58+fZ8+ePbhcLo4fP86vf/1rHnjgAT772c8a12maNiVm5iaAWXRNxiPXW96YKIJ+VVXvaFSO\nyYTA1OmajD82bNjAU089xbp168a85pOf/OS4F/SbBdfko3B7c5pNTK7B/ffff11TF1PQbzLZMIuu\nybglVtC/cuVKzpw5c7dvycTkpjHHCybjFlPQbzIZMTtdk3GLx+PB6XQCuqA/HA7T09Nzl+/KxOTm\nMIuuybilq6vLmOmagn6TyYJZdE3uGmvWrOHee++lvr6e3Nxcfvazn/Haa68ZoncPjf8AAAHxSURB\nVP4DBw4wf/58Fi5cyNatW/ntb397l+/45qmurqa0tJSioiJeeumlUa/ZvHkzRUVFVFRUcOzYsTt8\nhya3G1Ona2Jyh7gR39vJ5nE8hRlTp2t2uiYmY9Da2sqKFSuYN28e5eXlvPLKK6Ned6OdaazvrcVi\nMXxvYxnL49hk8mAWXROTMbBYLPzwhz/k9OnT1NTU8KMf/Yi6urq4aw4ePEhTUxONjY385Cc/YdOm\nTWN+v9F8b9vb2697TVtb2y16RSbjAbPompiMQWZmJgsXLgTA7XZTVlZGR0dH3DUfpTO9Ud+Fqehx\nPJUwi66JyQ1w4cIFjh07xtKlS+M+/1E60xvxvTU9jic/1ztIMzGZ8giC4Ab+DnxP07T/HvG1/we8\nqGnaP4c+fgv4rqZpR0f5PjJQD/wPoAM4DKzRNK0u5pqVwJOapq0UBOEe4P9qmmZ6ME4izI00E5Nr\nIAiCBfgvYP/IgjtEO5Ab83HO0OcS0DRNEQThSeAQIAE/1TStThCE/zX09dc0TTsoCMJKQRCaAC+w\n4Ra+HJNxgNnpmpiMgaAPU38JdGua9r/HuMbsTE0+EmbRNTEZA0EQ7gPeAU4wrFn/TyAP9M506Lp9\nwGcY6kxHGy2YmEQxi66JiYnJHcRUL5iYmJjcQcyia2JiYnIH+f9llKhPj05xIgAAAABJRU5ErkJg\ngg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7f2fff547630>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diffuse(10)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7f2fff388908>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diffuse(14)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x7f2fff4402b0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diffuse(50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learn More" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The video lesson that walks you through the details for Steps 5 to 8 is **Video Lesson 6** on You Tube:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " <iframe\n", " width=\"400\"\n", " height=\"300\"\n", " src=\"https://www.youtube.com/embed/tUg_dE3NXoY\"\n", " frameborder=\"0\"\n", " allowfullscreen\n", " ></iframe>\n", " " ], "text/plain": [ "<IPython.lib.display.YouTubeVideo at 0x7f2fff4010b8>" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('tUg_dE3NXoY')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "<link href='http://fonts.googleapis.com/css?family=Fenix' rel='stylesheet' type='text/css'>\n", "<link href='http://fonts.googleapis.com/css?family=Alegreya+Sans:100,300,400,500,700,800,900,100italic,300italic,400italic,500italic,700italic,800italic,900italic' rel='stylesheet' type='text/css'>\n", "<link href='http://fonts.googleapis.com/css?family=Source+Code+Pro:300,400' rel='stylesheet' type='text/css'>\n", "<style>\n", " @font-face {\n", " font-family: \"Computer Modern\";\n", " src: url('http://mirrors.ctan.org/fonts/cm-unicode/fonts/otf/cmunss.otf');\n", " }\n", " div.cell{\n", " width:800px;\n", " margin-left:16% !important;\n", " margin-right:auto;\n", " }\n", " h1 {\n", " font-family: 'Alegreya Sans', sans-serif;\n", " }\n", " h2 {\n", " font-family: 'Fenix', serif;\n", " }\n", " h3{\n", "\t\tfont-family: 'Fenix', serif;\n", " margin-top:12px;\n", " margin-bottom: 3px;\n", " }\n", "\th4{\n", "\t\tfont-family: 'Fenix', serif;\n", " }\n", " h5 {\n", " font-family: 'Alegreya Sans', sans-serif;\n", " }\t \n", " div.text_cell_render{\n", " font-family: 'Alegreya Sans',Computer Modern, \"Helvetica Neue\", Arial, Helvetica, Geneva, sans-serif;\n", " line-height: 135%;\n", " font-size: 120%;\n", " width:600px;\n", " margin-left:auto;\n", " margin-right:auto;\n", " }\n", " .CodeMirror{\n", " font-family: \"Source Code Pro\";\n", "\t\t\tfont-size: 90%;\n", " }\n", "/* .prompt{\n", " display: None;\n", " }*/\n", " .text_cell_render h1 {\n", " font-weight: 200;\n", " font-size: 50pt;\n", "\t\tline-height: 100%;\n", " color:#CD2305;\n", " margin-bottom: 0.5em;\n", " margin-top: 0.5em;\n", " display: block;\n", " }\t\n", " .text_cell_render h5 {\n", " font-weight: 300;\n", " font-size: 16pt;\n", " color: #CD2305;\n", " font-style: italic;\n", " margin-bottom: .5em;\n", " margin-top: 0.5em;\n", " display: block;\n", " }\n", " \n", " .warning{\n", " color: rgb( 240, 20, 20 )\n", " } \n", "</style>\n", "<script>\n", " MathJax.Hub.Config({\n", " TeX: {\n", " extensions: [\"AMSmath.js\"]\n", " },\n", " tex2jax: {\n", " inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n", " displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n", " },\n", " displayAlign: 'center', // Change this to 'center' to center equations.\n", " \"HTML-CSS\": {\n", " styles: {'.MathJax_Display': {\"margin\": 4}}\n", " }\n", " });\n", "</script>\n" ], "text/plain": [ "<IPython.core.display.HTML object>" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"../styles/custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> (The cell above executes the style for this notebook.)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }