{ "metadata": { "name": "", "signature": "sha256:02a54b501f4fe4545fe00875124497bbea9e53e53e7b741ce821ef90eb10c9f2" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# A normalization model of multisensory integration\n", "[*Ohshiro, Angelaki and DeAngelis (2011) Nature Neuroscience*](http://www.nature.com/neuro/journal/v14/n6/full/nn.2815.html)\n", "\n", "A while ago I came across [a cool paper](http://www.nature.com/neuro/journal/v14/n6/full/nn.2815.html) by Ohshiro, Angelaki and DeAngelis on a model of multisensory integration [1]. I finally managed to dive into it. I think it is a beautiful piece of work, so I decided to put together a notebook on it. Also, one of my lab mates has asked me for advice on testing this model, so perhaps this notebook will be useful for people that just want to get started.\n", "\n", "The model uses divisive normalization as a key operation, and explains a variety of observations about the response of multisensory neurons. **Before moving on, I would really recommend reading the paper**, for several reasons. First, I think it is really well written. Second, I will not be able to explain the model better than the authors themselves. Finally, I might have missed something important. **This notebook is not intended as a self-contained document.** To reinforce that, I won't write much. In fact, I will just reproduce the figures. The code will be moderately commented.\n", "\n", "The paper is subdivided into two models. The first one - the *spatial model* - deals with multisensory integration of cues to spatial position. The second model deals with multisensory integration of visual and vestibular cues to heading direction.\n", "\n", "Both models rely on the same general architecture. We start with two layers of neurons tuned to different cues, say, auditory and visual. The activity of these neurons increases sublinearly with stimulus intensity, as regularly observed in the brain. The activity of unisensory neurons is then linearly combined by neurons in the multisensory layer, and their activities are then divisively normalized." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spatial model\n", "\n", "Following the structure of the paper, we start with the spatial model. First, let's define some functions to (1) compute the unisensory response, (2) compute the multisensory response, and (3) apply divisive normalization. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "def Gaussian(thetaHat, theta, sigma): \n", " ''' 2-d Gaussian for unisensory receptive fields '''\n", " return np.exp(-1.0 * ((theta[0] - thetaHat[0])**2 + (theta[1] - thetaHat[1])**2) / (2*sigma**2))\n", "\n", "def computeUniPopResp(thetaHat, theta, c):\n", " ''' computes the unisensory response '''\n", " return c * Gaussian(thetaHat, theta, 2.0)\n", " \n", "def computeMultiPopResp(uniPopResp, D):\n", " ''' computes the multisensory response '''\n", " uniPopShape = np.shape(uniPopResp[0])\n", " multiPopResp = np.zeros((uniPopShape[0], uniPopShape[1], len(D[0]), len(D[1])))\n", " \n", " for i, d0 in enumerate(D[0]):\n", " for j, d1 in enumerate(D[1]):\n", " multiPopResp[:,:,i,j] = d0 * uniPopResp[0] + d1 * uniPopResp[1]\n", " \n", " return multiPopResp\n", "\n", "def normalizePopResp(popResp, n, alpha):\n", " ''' divisive normalization '''\n", " popResp **= n\n", " return popResp / (alpha**n + np.mean(popResp))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inverse effectiveness" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sigma = 2.0 # sd for Gaussian RFs\n", "thetaX, thetaY = np.meshgrid(np.arange(29)+1, np.arange(29)+1) # RF positions\n", "thetaHat = [thetaX, thetaY]\n", "\n", "theta = [6.0, 6.0] # stimulus position \n", "\n", "n = np.arange(3)+1 # exponents for divisive normalization\n", "alpha = 1. # semi-saturation constant \n", "\n", "c = np.zeros((12,)) # stimulus intensities\n", "c[1:] = 2**np.arange(11, dtype=np.float)\n", "\n", "cX, cY = np.meshgrid(np.arange(len(c)-1), np.arange(len(c)-1))\n", "\n", "D = [np.linspace(0,1,5), np.linspace(0,1,5)] # modality weights [d1, d2]\n", "\n", "R = np.zeros((len(c), len(c), len(n)))\n", "xi, yi = 5, 5 # indices to the preferred neuron (thetaHat = theta)\n", "di, dj = 4, 4 # to look at the d1 = d2 = 1\n", "\n", "for i, c1 in enumerate(c):\n", " for j, c2 in enumerate(c):\n", " for k, nk in enumerate(n):\n", " uniPopR = [np.sqrt(computeUniPopResp(thetaHat, theta, c1)), np.sqrt(computeUniPopResp(thetaHat, theta, c2))]\n", " multiPopR = normalizePopResp(computeMultiPopResp(uniPopR, D), nk, alpha)\n", " R[i, j, k] = multiPopR[xi,yi,di,dj]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "fig1 = plt.figure(figsize=(8,8))\n", "\n", "# panel a\n", "plt.subplot(2,2,1)\n", "plt.imshow(R[1:,1:,1], interpolation='bilinear', origin='lower', clim=(0,110))\n", "plt.colorbar()\n", "levels = np.linspace(np.amin(R[:,:,1]), np.amax(R[:,:,1]), 24)\n", "plt.contour(cX, cY, R[1:,1:,1], levels, origin='lower', colors='k')\n", "plt.xlim(0,10)\n", "plt.ylim(0,10)\n", "\n", "# panel b\n", "plt.subplot(2,2,2)\n", "plt.plot(np.diag(R[1:,1:,1]),'k.-')\n", "plt.plot(R[0,1:,1]+2,'r.-') # +2 to add offset for visibility\n", "plt.plot(R[1:,0,1],'b.-')\n", "plt.plot(R[0,1:,1] + R[1:,0,1],'k--')\n", "plt.ylim(0,200)\n", "plt.ylabel('Firing rate')\n", "plt.xlabel('Log intensity: input 1,2')\n", "\n", "# panel c\n", "addIndex = R[1:,1:,1] / (R[0,1:,1].reshape(len(c)-1,-1) + R[1:,0,1].reshape(-1,len(c)-1))\n", "plt.subplot(2,2,3)\n", "plt.imshow(addIndex, interpolation='bilinear', origin='lower', clim=(0,2))\n", "plt.colorbar()\n", "plt.contour(cX, cY, addIndex, origin='lower', colors='k')\n", "plt.xlim(0,10)\n", "plt.ylim(0,10)\n", "\n", "# panel d\n", "plt.subplot(2,2,4)\n", "lineSpec = ['b.-','k.-','r.-']\n", "plt.plot([0,10],[1,1],'k--')\n", "for k in np.arange(len(n)):\n", " plt.plot(np.diag(R[1:,1:,k])/(R[0,1:,k]+R[1:,0,k]), lineSpec[k])\n", "plt.ylim(0.5,4.0)\n", "plt.ylabel('Additivity index')\n", "plt.yscale('log')\n", "plt.yticks([0.5,1,2,4])\n", "plt.gca().get_yaxis().set_major_formatter(matplotlib.ticker.ScalarFormatter())\n", "plt.xlabel('Log intensity: input 1,2')\n", "\n", "plt.tight_layout(pad=0.4, w_pad=1.0, h_pad=2.0)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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zPoY+jeC/p4PHhQTZHX/+PrhoCczrBx3TnJ9LLNlZVwaDt8H0ptDdMMnbnDky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+7beTLrcyI7Ok2ehEEJsGk8/HI/pN7M2TFSE4RL1YJRK5Hmvou0/DvDdbdjhFIKwFK7GbZPDc6R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jyux53fj8jDzha7E2Wwsfzb6cZX7tsPWhd882CuJC15+LvbGmfjuTsU8d7+i6nsz/Mycwhw6p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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The spatial principle" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nk = 2 # exponent for divisive normalization\n", "alpha = 1.\n", "\n", "theta = 6.0*np.ones((2,))\n", "sigmaOffset = np.arange(4)*sigma # positional offset\n", "\n", "R = np.zeros((len(c), len(c), len(sigmaOffset)))\n", "xi, yi = 5, 5\n", "di, dj = 4, 4\n", "\n", "for i, c1 in enumerate(c):\n", " for j, c2 in enumerate(c):\n", " for k, dsigma in enumerate(sigmaOffset):\n", " \n", " uniPopR = [np.sqrt(computeUniPopResp(thetaHat, theta, c1)), \n", " np.sqrt(computeUniPopResp(thetaHat, theta + np.array([dsigma,0]), c2))]\n", " multiPopR = normalizePopResp(computeMultiPopResp(uniPopR, D), nk, alpha)\n", " R[i, j, k] = multiPopR[xi,yi,di,dj]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "fig3 = plt.figure(figsize=(10,6))\n", "for k, dsigma in enumerate(sigmaOffset):\n", " plt.subplot(2,len(sigmaOffset),k+1)\n", " plt.plot(np.diag(R[1:,1:,k]),'k.-')\n", " plt.plot(R[0,1:,k],'r.-')\n", " plt.plot(R[1:,0,k],'b.-')\n", " plt.ylim(0,120)\n", " plt.title(r'Offset = ' + str(k) + '$\\sigma$')\n", " if k == 0:\n", " plt.ylabel('Firing rate')\n", " \n", " plt.subplot(2,len(sigmaOffset),k+1+len(sigmaOffset))\n", " plt.plot([0,10],[1,1],'k--')\n", " plt.plot(np.diag(R[1:,1:,k])/(R[0,1:,k]+R[1:,0,k]), 'k.-')\n", " plt.ylim(0.25,2.0)\n", " plt.yscale('log')\n", " plt.yticks([0.25,0.5,1,2])\n", " plt.gca().get_yaxis().set_major_formatter(matplotlib.ticker.ScalarFormatter())\n", "\n", " if k == 0:\n", " plt.ylabel('Additivity Index')\n", " plt.xlabel('Log intensity: input 1,2')\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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gcoAzZ84wdOhQgoKCmDZtGmPGjGHbtm1UrlwZcG+KxL59vdlSpbyjTx+7W6CU+3r3dv8z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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multisensory suppression" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nk = 2\n", "alpha = 1.\n", "\n", "D = [np.linspace(0,1,5), np.linspace(0,1,5)]\n", "\n", "di = 4\n", "dj = np.array([4,3,2,0])\n", "R = np.zeros((len(c), len(c), len(dj)))\n", "xi, yi = 5, 5\n", "\n", "for i, c1 in enumerate(c):\n", " for j, c2 in enumerate(c):\n", " uniPopR = [np.sqrt(computeUniPopResp(thetaHat, theta, c1)), np.sqrt(computeUniPopResp(thetaHat, theta, c2))]\n", " multiPopR = normalizePopResp(computeMultiPopResp(uniPopR, D), nk, alpha)\n", " for k, djk in enumerate(dj): \n", " R[i, j, k] = multiPopR[xi,yi,di,djk]\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "fig4 = plt.figure(figsize=(10,6))\n", "for k, djk in enumerate(dj):\n", " plt.subplot(2,len(dj),k+1)\n", " plt.plot(np.diag(R[1:,1:,k]),'k.-')\n", " plt.plot(R[0,1:,k],'r.-')\n", " plt.plot(R[1:,0,k],'b.-')\n", " plt.ylim(0,120)\n", " plt.title(r'$ d_1=1.0, \\ d_2= ' + str(D[1][djk]) + '$')\n", " if k == 0:\n", " plt.ylabel('Firing rate')\n", " \n", " plt.subplot(2,len(dj),k+1+len(dj))\n", " plt.plot([0,10],[1,1],'k--')\n", " plt.plot(np.diag(R[1:,1:,k])/(R[0,1:,k]+R[1:,0,k]), 'k.-')\n", " plt.ylim(0.25,2.0)\n", " plt.yscale('log')\n", " plt.yticks([0.25,0.5,1,2])\n", " plt.gca().get_yaxis().set_major_formatter(matplotlib.ticker.ScalarFormatter())\n", " \n", " if k == 0:\n", " plt.ylabel('Additivity Index')\n", " plt.xlabel('Log intensity: input 1,2')\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HFWVVxDn+b8YD5Mmfh6IVLT28oblVblm0COrUEY4ePcuwYVNZsuRlqlUrZWUJmlnlFhH4\n9luoXx8aN4Y1a4zvLV5wVXOr3HLhAgweDG3bwhtvwOzZUL68Z7nNa355brsD+D+MUyr/AFOBblc9\nRtJv1xg2bNil70NDQwkNDfVBiYFt+/btDB48mGXLllGgQAG7y7mh1AupfNx+OR8vrMN7nQ/Rb9J9\nRC+PZtKw8XaUo7lVWYqNjWXp0j8ZMaIoW7feRv78A4iOXsy2bUEEBweTO7elxym8yixobnOSffuM\nC53i4mDJEjh9OpIRIyLtKEVzq7Jt1Sro1QvuvBP++gtiYiIZPjzS7rK80gX4LsPP3YH/An8DZdLv\nKwvEXOe5oryTlJQkDRs2lLFjx9pdSqY2TdsuDQtulZbF18neZQdv+Dgy+aA0meZWXeG5556TBg0a\nSM2aNaVLly5SrVo1uemmDlKgwDGpW3eV/PjjLDl06NAVz2nTpo1TMgua2xwhLU3kyy9FSpQQGTlS\nJCXl+o9Dc6v8yPnzIq++KlKmjMiUKSIu1/Ufh5u59YcjyTHAu8DNwAXgIWANcB7oCXyY/nWmXQUG\nsqFDh1K2bFn69etndynXlXwumVGP/cEXkbUZ2f1vnhvfjFy5/WLWDc2tAuDQoUOMGzeOiRMnkpyc\nDEC+fKWoXn0lycnF+O67XDz44PXPBE+ePJlixYpZVapmVmVq1y547jnjYqdly4yjcX5Ac6sytWyZ\nkduGDY1ZLEqWtLsi873B5eldJgD5MKZ3WUTm07tYu6sSYJYuXSply5aV48eP213Kda2ftE3uuilG\n2pZcIwfXHMnWc7Du6AZobnOslJQUmTNnjjz66KNSrFgxeeGFF6Rp06YCyB13DJSyZdPkxRdF4uOz\n3hbOyCxobgNWaqrIf/5jHD3+z3+Mn7OC5lbZLD5e5MUXRcqVE5kxI3vPwc3cenpI7j6gCjAeKAnc\nCuz1cFveSP+blbtiY2OpV68eX331FW3btrW7nCs8Xz2ahbtu55irJJ8/tYq+k+7P9tFjhyyVqrl1\nqIMHDzJu3DjGjRtHcHAwffr0oXPnztxyyy089VQS06dfIE+ewkydmot27bK3TYdkFjS3AalLF5g/\nH/LmhYgI42hcdmhulZ0eecS4GDooyDiSnN3p3axYlnoYxl7doPSf8wOTPNiOslFISAipqal8+eWX\nxMXF2V3OJa5UF3N21uCgK5gUCrBkWT5/GV6hcqjU1FTmzJnDI488Qr169Th9+jRz585l5cqVPPvs\ns9xyyy3Ex8NvvxUgObkIiYm5mDAh6+0qZbddu4yFQeLjITYWPvzQ7oqUylpEhDEVYVISHD4Mb77p\nu7Y8GZPcAagPXJwp8TBQyLSKlM+tWLGCQ4cOkZyczJEjR+jTpw9TpkyxuyzEJbxUfxkpUgeAkIJb\nCV9ey+aqVE514MCBS0eNK1SocOl9UrBgwSsel5gIjz4KxYoZ8yCHhEB4uE1FK5VNBw9Cy5ZQrRps\n3aq5Vc6wYgV07Wqc8Vi92j9zuyb964b0r7cAm2yqxTcDXQKYy+WSpk2bSp06dQSQkJAQiY2Ntbss\nERF5q9FSaVhwq+z/46CEBa+Q2H1xbm8Da8fJecoHr54yy+nTp6VKlSqSJ08eqVixoixfvvyGj01K\nEmnbVuTpp0VOnxYJCxNx9+2EMzILmtuAcfy4SPXqIqNHG3nV3Con+PNPkZIlRRYs8O/cvg58gzEG\nuQ+wChjg60ZvwDf/EgFs1qxZUrt2bTl16pSEhYX5TQd5ZKulUrPATjkZc8qr7eCMD26TXjVltgUL\nFkj58uWlfPnyF7MkYWFh131saqpI584ijz0mkpzseZs4I7OguQ0IsbEi9eqJvPOOd9tBc6ss9Pff\nxvRu06Z5tx0sunDv4fQbwO8Yq9/YIf1vVtmRmppK3bp1+eijj2iX3auKLDD2ySg++bUSy1YXoFyD\nMlk/IRMOuZhEc+tnEhISeOONN5g9ezbjx4/nk08+Yf78+YSEhBAREUHRq5ZqEoHevWHvXpg7F266\nyfO2HZJZ0Nw63vnz8PDDxinqTz+FXF6kTnOrrLJvH9x/P7z/PvTs6d22rLhw70OM6VZeS79FpN+n\n/NyPP/5IUFCQX81mMbHfckZOq8qixbm97iAr5Ym1a9fSoEED4uLi2LRpEw8++CCTJ08mLCzshh3k\nV181xnHOmuVdB1kpq1y4AO3bG2OQx4zxroOslFWOHoWHHjKWl/a2g+wJT94mGzAu3MtoM1DH+3Lc\npnuI2ZSYmEi1atWYOnUqjRo1srscAGa8uYoXPq7M4hnx1HysiinbdMjRDc2tH0hJSWHEiBGMHTuW\nL774gs6dO2frecOHw/TpEBlpXKznLYdkFjS3jpWaCmFhxjRvP/9sfPWW5lb52unT8MAD8PTTMHiw\nOdt0N7fuvFX+BbyAsY765gz3FwJWuLEdZYMvvviCe+65x286yBGj1tN39B0smHiKmo/5x7JOKufY\nsWMH3bt3p2jRovz555+UL18+W88bMwYmT4boaHM6yEr5mssFvXoZR5JnzTKng6yUr509C23aQLt2\nMGhQ1o/3FXf2AosAxYBRwJsZnhsPnDa5ruzSPcRsOHPmDNWrV2f58uVUr17d7nJY8dUm2vcvx4wv\nj9DshbtM3bZDjm5obm0iInz11VcMGTKE4cOH88ILL1zMTJbGjTPGxEVHQ4UK5tXkkMyC5tZxRODF\nF2HzZliwAK6avdArmlvlK4mJ0Lo11KwJY8eaOzTI3dx603QpIONovANebMtTGv5seP3114mPj+fr\nr7+2uxQ2/BxD664l+PH9/bR6O8T07Tvkg1tza4MjR47w3HPPcfr0aSZOnOjWDuOUKfDKK8YQi6pV\nza3LIZkFza3jDBpkLLyweDEUKWLutjW3yheSk6FDB+NM3Y8/Qm5PrpzLhBUX7j0G7MSYAi4K2AfM\n92A7ygIHDhzg+++/Z+jQoXaXQsy8PbTrVpSxr+7ySQdZqRuZOnUq9evXp1GjRqxYscKtDvK8efDS\nS8bSvWZ3kJXylZEjYfZs4wiy2R1kpXwhLQ26d4d8+WD8ePM7yJ7wZC9wE9ACY1aL+kBzoDvQy8S6\nskv3ELPw7LPPUr58eT744ANb69i3/BD3h+bi/Wf30vPbZj5rxyFHNzS3FklLS6NmzZocOHCA+vXr\nM2/evGtmq8hMVJRxwdOcOXDvvb6p0SGZBc2tY/z3v/Cf/8CyZVCunG/a0NwqM12cVnPfPvjtN9/N\nGmTFkeQU4FT6c/MASwE9LOiHNm/ezLx583j99ddtrePoxuM81DyNNzrs8mkHWamMRIS+ffty4sQJ\nLly4wMqVK+nTp0+2n792rdFB/t//fNdBVspsEyfCqFGwaJHvOshKmenitJrbtsHMmf41raYnneRY\njBktlgE/AZ8D58wsSplj8ODBDBo0iCI2nmvrcfsyqtS/ldy50uj2cT3b6lA5z5tvvsmWLVu4++67\nAQgJCSE8PDxbz+3UCZo2NS7Qq3/1hJdK+amHH4bnnoNKlXT2FeUcISEQHg633GJMV+hPPDlVcgtw\nAaOD3RUojNFZtmOGCz2NcgPR0dH07NmTmJgYChQoYEsN4hJK5jnDaUoAEBb8B1MONvFpmw45Bai5\n9bEPP/yQH3/8kejoaPLkyUOfPn0IDw/P1lCLhAQoUcKYMguMo8lTpviuVodkFjS3fm33bqhR43In\nQ3N7iebWj82bB088AUlJxs/+llt3A54XYyxyczef5ysa/usQEZo0aUL//v3p1q2bbXX82Gc5/b+9\ni3MUJqTgViK2BVO0om+Pajvkg1tz60PffvstI0eOZNmyZdme/zijl1+GqVONlZ5CQozZAdwYxuw2\nh2QWNLd+Ky0NmjeHkychJkZzexXNrZ86cwbuugvKl4c1a/wzt+4Ot0gFXIAP/wTlrZkzZ5KYmMjT\nTz9tWw0HVx/hte+qM+/LvYQF/2FJB1mpadOmMWzYMBYuXOhRB3nJEvj1V/jjD+OIhq8/sJUyw6ef\nGnPJrlihuVXO8eKLRl5//91/c+vJXuBsjFktFgIJ6fcJMMCsotyge4hXSU1NpXbt2nz22We0atXK\nlhpcqS5ald5AaIN43o4ItbRthxzd0Nz6QEREBN26dWPhwoXUrVvX7ef/8w/UrQtffWWs9GQVh2QW\nNLd+aetWCA2F1avh9tuta1dzq7wxdSq8+y5s2AA332xdu75clvqi6em3i6nLleF7ZbPvv/+e8uXL\n8/DDD9tWw9fdlnE2qQRvznG/o6KUJ1atWkXXrl2ZPn26Rx1kgIEDoVUrazvISnkjJQV69oR//9va\nDrJS3jh2zJh7fvZsazvInvCXvcCiwHdALYwO97MYC5b8D6iIsWBJZyDuqufpHmIG58+fp1q1asyc\nOfPSFf1W27V4P41a3sry3/6hRlvrP7UtPrqhufUDW7Zs4cEHH2T8+PG0bdvWo23MmWOMRf7rLyhU\nyOQCs2DDETnNbYAYPhxWrTIufjJz6d7scMhnLWhu/YoIPP64MRbZjuUbrJgn2Rc+A+YBdwJ3ATHA\nWxgXCVYDFqf/rDLx2Wef0axZM9s6yGnJafTs8A/vtt9iSwfZBppbm+3du5fWrVszZswYjzvIp05B\n377www/Wd5BtorkNAOvXG4uGfPed9R1kG2hmA8QPP8DBgzBkiN2VZI8/vLWKABuAq3tVMcADwHGg\nDBAJ1LjqMbqHmO7UqVPUqFGDlStXUtWmtXM/ahvJ/JVFWHyyLrnz2rP/ZeHRDc2tzY4dO0azZs14\n5ZVX6N+/v8fb6dIFgoPhk09MLM4NFh+R09wGgAsXoGFDePttsOv6bId81oLm1m/s32/MYLFkCdSp\nY08NTjySXBk4CYwH/gS+xZiLuTRG+En/WtqW6hxixIgRdOnSxbYO8uZfdzB6QW3GzylpWwfZYppb\nG8XFxdG6dWt69uzpVQf5l19g82ZjTGcOobkNAO++CzVrwlNP2V2JJTSzAcDlgl69jJX17Ooge8KT\nC/fmYIwJutgTF+AssBb4BmOhEXdraAC8mL6NT7n2tIlwg4sDhw0bdun70NBQQkND3Wze+fbt28eE\nCRPYunWrLe0nn0umR3cXo3r8TaVm91nadmRkJJGRkZa2mU5za5OEhAQeeeQRQkNDeeeddzzezpEj\nxjjkuXOtXQbVxsyC5tbxli2Dn34yxs9bOczCqZ+1oLn1B//9r7FQ0+uvW9uut7n15C32ORAE/Jz+\n/C4YnWQXxup73d3cXhlgJcbeIkAzYBDGqZXmwDGgLLAUPf13XT169KBy5coMHz7clvaH3B/Jn9sL\nMufo3eTKbe8IHgtPAWpubZCcnEz79u0JCgrihx9+IHduz85aiMAjjxin/mx621xi8XALza2DnTtn\nTFM4Zgw89ph17V64cIGdO3fy999/ExMTw4QJE9izZw/4/2ctaG5tt2MHNG1qzD9v08nuS6yYAq4J\nEJLh59nAuvT7PDmUeQw4iDH4fgfwUPp2tgI9gQ/Tv870YNsBr1OnTsyePZvQ0FDi4uKyteyumdZO\n2MY3y2ux8U+X7R1ki2luLda7d29mzZpFrly52LJli8cdZIBx44wV9bw4EO1UmlsHe/11uP9+33WQ\nz5w5c6kjHBMTc+n7Q4cOUblyZe68805q1KhBvnz5fFPA9WlmHSw11ZimcOhQ+zvIVvkbY8qViyqm\n3wfG4HpP1MU4jfIXxhzMRYDiwCKMN8VCrr/Kn+R0JUqUuHiaScLCwixtO+F0gtTIv0t+GbDC0nYz\ng7VzdmtuLXTHHXeYkvU9e0SCgkQ2bzaxOC9g/TzzmlsHWrBApEIFkbg4c7aXlJQkixYtkjp16kjh\nwoUlX758UqhQIbnnnnukZ8+eMnLkSJkxY4bExMRIcnLyFc9t06aNUz5rQXNrqxEjRB58UCQtze5K\nDLiZW08O/bUFvgb2pP98O/ACxqmO3hjjhayS/jfnTBs2bKBRo0YkJycTEhJCRESEpUeSBzaM5PDJ\n/PzvQBPL2syKQ1aBytG59cSWLVto0KABKSkpXmXd5YIWLaBdO+vHxt2IQzILmlvbxMYa88r+8AM8\n+KDn2zl27Bjz5s1j7ty5LF68mOrVq3P8+HH2798PQFhYGFOmTMlyO3FxcRQrVgw0tyoTmzYZeV2/\nHipUsLtFPHpoAAAgAElEQVQag7uft54G/CaMsT8CbMf9i/XMkqPD/9hjj9GkSRP+/PNPwsPDLe0g\nR322kacHlmZTTAFKVC1uWbtZcUiHI0fn1l1JSUncc8899O7dm+joaK+y/umnMG0aREVBnjwmF+oh\nh2QWNLe26d4dihaFL75w73kul4v169czd+5c5s6dy65du2jZsiXt2rWjTZs2lCpVirZt2zJ//ny3\ndz41tyozyclwzz3wf/8HzzxjdzWXWdVJboIxiD4vlw9d/+jhtryRY8O/du1annjiCXbu3MlNVl6a\nD8QfieeuinF8Megoj7x3j6VtZ8UhH9w5NreeeP3119m9eze//vrrxX9fj8TEQLNmxgplVaqYWKCX\nHJJZ0NzaYvp0eOst2LABbrkl68efPXuWhQsXMnfuXObPn0/x4sVp164d7dq1o2nTpteMJ46Li6NP\nnz5u73xqblVm3n4btmyBmTP9a7EbKzrJkzCGWGwE0jLc/5IH2/JWjg1/mzZteOyxx/jXv/5ledt9\n7owmLS0X43ZYO91bdjjkgzvH5tZdS5YsoUePHmzcuJGgoCCPt5OaCk2awLPPgg1vmUw5JLOgubXc\niRPGbBbTp0Pjxpk/dsWKFTz55JMcOXKE4sWL8/rrrxMWFkblypUzf6KHNLfqRlavNpae3rgRypSx\nu5orWTG7RUOgJtZfbKLS/fHHH2zbto2ZM62/mHfe8LUs3Hk7m/YVtrxtlbPExsbyzDPPMG7cOK86\nyACjRhmnq/v1M6k4pXxMxFgu/ZlnMu8gr1mzhiFDhhATE0PBggVxuVycOnWKdevW8cYbb1hWr1Jg\nzIXcowd8+aX/dZA94ckcSlsw5iRUNhk6dCjvvvsuBQoUsLTdM7tj6f1eMOM/OknhYO0kK98REfr1\n60eHDh1o1aqVV9vasAE+/xy+/96/TvsplZmJE2H3bsiwDsYV/vzzTx599FE6duxI+/bt2bFjB3fc\ncQcAISEhhIeHW1esUukGDTKWTO/Uye5KzOFJJ7kksA1jypU56bfZZhalbiw6Oprdu3fTs2dPy9u+\nt0YcAKNHphK3/x/L21c5x6RJk9i6dSujRo3yajspKfDQQ1C8OPTpA3FxJhWolA916wbPPQeFC0Ni\n4pW/27RpE0888QSPPPIIDz/8MDt37qRfv37kz5+fyZMnExYWZvlMR0oBPPoofP21MUwoJ3/Wht7g\nZgefz6nnT1wul9x///0yfvx4y9teOmaD5CdRjJOAImHB/jM3ckY4YxiQ3S+TX9u7d68EBQXJxo0b\nvd7WJ5+IFC0ql3Nr7VTi2YIzMguaW8uULHltZrdu3SphYWFSunRp+eSTTyQhIcHWGtHcqgySk0UK\nFvTvz1oRR+XWFHa/3pZavHixVK1aVVJSUixtNyk+SWoW2Cn1b94mIBJScIvE7jNpRnuT4Yw3gN0v\nk99KTU2VZs2ayccff+z1tg4dEilRQuT++40P7ZAQkdhYE4o0Gc7ILGhuLbFkichNN13O7Nq1O6Vr\n165SsmRJGTVqlJw7d87uEkVEc6uu9PHHxuetP3/WirifW3eGW6xI/3oOiL/qdtadRpX7RIR3332X\noUOHkjevJ9dbeu7Tzn9QoVAsi7eWJSz4DyK2BVO0YhFLa1A5w4cffki+fPl45ZVXvN7WwIHGTBaz\nZkFYGEREGBfvKeWvkpPhhRegUaPvKFZsEYcP16RVq3upUaMGu3bt4s033+SW7MwDp5SFDh2CkSPh\n998D77PW6ZexpO8YBL7ff/+dV155hc2bN5PHwlUQDq4+Qv3GBVgVcY4qD1bM+gk2c8i0RDkmt+5Y\nt24d7dq1Y926ddx2221ebWvRIujdG7ZuhYIFTSrQRxySWdDc+tyHH0J0tLBjR3V27doJQPv27Zkx\nY4bNlV1Lc6su6twZatSA996zu5KsuZtbdy/cywvEuPkc5SURYciQIQwbNszSDjLAKx330/++zY7o\nICvnOn/+PF27duWLL77wuoOclAT9+xszWvh7B1mpiw4cgNGjhVtuGczRo0cAY5aK8ePH21yZUje2\ncCGsW2fMahGI3O0kp2IsQ609JgvNnTuXhIQEOlk8p8qCD9ax4Xg53ppxr6Xtqpzntdde495776Vz\n585eb+vjj42jGo8+akJhSlmkb98EChQIR2QXMTExOkuF8ntJSfDii8YBiZtvtrsa3/BkcGtxYCuw\nBjiffp8Aj5lVlLrs4lHk4cOHkzu3JzP2eeZC3AVeHF6SL945wc3FdZ9I+c6cOXNYsGABGzdu9Hpb\n+/bBmDHGkQ2lnOKjjzYTEXELw4efY/DgKeTKlYspU6bYXZZSmRo9GmrWhEcesbsS3/Gkk/yu6VWo\nG7q4ql6HDh0sbfejJ1ZRp+RNtB3ayNJ2Vc5y/Phx+vTpw5QpUyhSxPuLQV9+GV55BSpV8r42pXxN\nRBg9+ksGD36U9947w+DBr9pdklLZsnevcUDizz/trsS3POkkR5pdhLo+l8vF0KFD+fe//31xsLkl\ndi/Zz2eRd/HnsgTL2lQ5j4jw3HPP0atXL+677z6vtzdnDsTEgCMOwInAmjXw7LN2V6JskpCQQO/e\nvVm8+D5atizJ4MGV7C5JqWwbMABeew0qBviJZnc6ySuAphhTwF19qagAuk6xyX799VduuukmHrHw\nXIa4hAFPnuD1h/dSsWmoZe2qnOfrr7/m2LFjTJ8+3ettJSQYH9rffgsWr9bunoMHYdIkmDAB0tIg\nNdXuipQN9uzZwxNPPEGlSg+SmtqX8HAnTBKhlGH2bNi5E3791e5KfM+dQa5Pp3+9FSh01U07yCZL\nS0tj6NChvPfee5YeRZ719hr2/FOcgdOaWNamynk6d+7MgAEDKFiwIAkJ3p+xGDkS7rnHWILa75w/\nDxMnGsXVrWsMnP7+e9ixA+680+7qlMUWLlxI48aN6dXrOZKTP+aNN3Lh5YQuSlnm4gGJ//4X8ue3\nuxr/knHkib/sP9iyYosVfvrpJ2ncuLG4XC7L2jx3/JxUyHNQFn/8p2Vtmg1nrAJl98tkq9TUVClU\nqNDFfysJ83L90u3bjZWeDh0yqUAzpKWJLF0q8swzxrrYbduK/O9/IomJVz4uNtYpmYUcnltvuVwu\nGTFihJQtW1aioqJk+nSRmjVFkpLsrswzaG5zpMGDRZ580u4qPIebuXVnuEXGw5m3u9OIck9qairD\nhw9n7Nixlh5F/uDxtTQNzkeLV5ta1qbKeT799NNLq0aGhIQQHh7u8bZEjCmIBg+G8uXNqtALO3fC\njz8aR44LF4aePY3D3GXKXP/xOr1XjhAfH88zzzzD4cOHWbNmDcWKBVOzpjHqRo/GKafYvh2++QY2\nbbK7EutYu76xypaffvqJMmXK0KJFC8vajJm3h29X12HznzpGUvnO9u3bGTlyJEuWLGHEiBGEh4d7\nNQ/stGlw9Ci89JKJRXriwAF44AFjfdby5Y1OsgkXIyrne+qpp5g1axYlSpRg3bp1lC5dmrfeMuIR\nGmp3dUplj4ixSNPbb0O5cnZX45/SgPj0W2qG7+OBsyZsPw+wAZiT/nNxIALYASwErvc/qd1H7k2X\nnJwst99+u0RGRlrWpivNJS2KrZdPO1jXpq9g7SlATzILAZjb7EhNTZXGjRvLF198Ycr2zp4VCQ4W\nWbbMlM155sIFkQ8+MMZ7VKwoYvxfIuLGEBKsP22tubXIwYMHpUCBAlcMLdq6VSQoSOToUbur8w6a\n2xzll19E7rpLJCXF7kq8g5u5defCvTxcvlAvL+ZfuPcysI3Lf8BbGG+AasDi9J8D3oQJE6hcuTIP\nPPCAZW3+8vJKTifeQv/JOszCTZpZN3z22Wfkz5+fF154wZTtDR8ODz4IzZqZsjn3zZsHtWvD2rXG\nrWZN4/6QEPBiCIkFNLcWOH78OA899BCV0iftDgkJ4ZtvwunfH4YMufEIHHVDmlubnD0Lr74KY8dC\nXh1/YItgYBHQnMt7iTFA6fTvy6T/fDW7d0pMlZSUJBUrVpTly5db1uY/B/+RcrmPyIqvN1nWpi9h\n3dENTzMLAZbb7Ni+fbuUKFFCdu3aZcr2Nm8WKVlS5PhxUzbnnj17RB57TKRKFZF58y7fHxtrHEGO\njXVrc1h7RE5za4FTp05JnTp1ZNiwYRIbGythYWESGxsrP/0kUq+e84/GiWhuc5JXXjGuQQ4EOOeC\n0ytMBeoDD3D5DRCb4fe5rvr5Irtfb1M1atRIihUrJm3atJFYN/+j9dT/1Y+UXlWjLWnLClj3BvA0\nsxBguc1KamqqNGnSRD7//HNTtudyidx3n8jYsaZsLvsSEkSGDTOGVvz738ZQCxNg7Ye25tbH4uLi\npGHDhvL6669fMTtRXJxIuXIiK1faWJyJ0NzmCH/9ZRyQOHHC7krMgQ9nt/CVR4ATGGONQm/wmBv+\nYcOGDbv0fWhoKKEOvRLi6NGjrFu3jtTUVObPn39pqV5f+mvKdn7aWJOtW507kX1kZCSRkZFWN+tV\nZiFwcpsdn3/+OXnz5qV///6mbG/iREhMhD59TNlc1kSM5fz+7/+gQQNjHdYKFTzenE2ZBc2tz507\nd462bdvSqFEjPvzwwytmJxoyBNq2hUaNbCzQC5rbnMflghdegPfeg5Il7a7GMzbm1jQjgIPAXuAo\ncB6YiHHq5OKorbIE+HCLbt26SeXKlQWQkJAQnx9JTktJkyaF/pJvukb5tB2rYc3RDW8yCwGU26zs\n2LHD1GEWsbEiZcqIrFljyuaytnOnMcdx9eoiCxf6pAmsOyKnufWhhIQEadGihTz77LOSlpZ2xe82\nbBApVUrk1CmbivMBNLcBb/x4kbvvFklNtbsS8+DDC/d8ZTBwG1AZeBJYAnQHZgM90x/TE5hpS3UW\niIqKIioqiujoaMLCwoiIiPBqWqzsaF5iE5viKzHj95uJ2/+PT9sKQDk+s9mRlpbGs88+y5AhQ7jj\njju83l6fPlCrFuTLB1WrmlBgZnr1gooVjYvx7rnHmBi0ZUsfN+pzmlsfSU5OplOnTpQqVYpvv/2W\n3Lkv/9fauzfcfz+UKgV58thYpHNpbm3Qo4fxmZs3L8TH212NuugBjOCDMb3LIgJ8Crjk5GSpVauW\nTJ061bI2j20+IflIujxbVfAKy9r2NawflO9uZiEAcpsdY8aMkfvuu++ao2qeqlfPoxnW3Ldzp8jN\nN1vUmG0XkmhuTZKSkiIdO3aUxx9/XJKTk6/5fZUqlkXJUmhuA1rp0ppbuHIVPSdK/5ud65NPPmHh\nwoUsWLDAktX1xCW0L7+GLafKsCe1IiEFtxKxLZiiFYv4vG0rpL+G/p5rx+c2Kzt37qRx48asWrWK\nKlWqeL29hARjTFxCgjHDWkSEjxarW7IEnnoKgoJg2zYfN2ZwSGYhB+TWXS6Xi549e3Ly5ElmzZpF\ngQIFrvj97t1w552QkmJJlCyluQ1cc+dCp05w4YLm1gkBz4yjw3/48GHq1q3LypUrqerz88eGH/ss\n5+OJpYhYU5SX2u4ifHmtgOkgg2M+uB2d26y4XC4eeOABOnXqxMsvv2zKNl9+2VhZD4wpiE3/wBYx\nJgF9/334+WeoX9841+iTxq7kkMxCgOfWXSJC37592blzJ3PnzqVgwYJX/N7lMlbUa90aNm60JEqW\n0twGpjNnoE4dY/npH3/U3Doh4JlxdPiffPJJqlSpwgcffGBJe4fWHqXBvXlZ+PMZ6nWpbkmbVnPI\nB7ejc5uVzz77jGnTphEVFXXF2ExPLV0K3bvD5s1QrJgJBV4tJcVY13rZMpg9G0wYP+0Oh2QWAjy3\n7hARXnnlFVavXs3ChQspVKjQNY8ZMwZmzIDISDDhbeB3NLeBqWtX40TaZ5/ZXYlvuJtbf5gCLkda\nvHgxq1ev5vvvv7ekPXEJz7U5zEvNz1GvS6glbaqcZ9euXbz//vusXLnSlA5yfLxxDV14uI86yKdO\nGecVCxWClSuhsBmLh6pA98477xAdHc2SJUuu20H++28YMQJWrQrMDrIKTL/+aiweunGj3ZX4D337\n2iA5OZkXX3yRTz/99JpTdL4S3n0ZZxIL8tYcXXpa+YbL5aJXr168/fbbpg0fevVVeOghY35Z023Z\nYsxcce+9MHOmdpBVtvz73/9m1qxZLFy48LqzEKWmQs+exsgdi09KKOWxEyfgxRdhwgSwqFviCHok\n2Qb/+c9/uOOOO3jssccsaW9P5AHe+bkmUTPjyFcwnyVtqpznv//9Ly6XiwEDBpiyvQULYOFCY/Y1\n082eDc89Z5wT79bNBw2oQNSkSRM2bNhA48aNyZv3+v99fvSRMYazb1+Li1PKQyJGXnv2hMaN7a5G\nmcmqWUNMs3//flMXV8hKWkqa3F9kg4xut9SS9uyGM9Zlt/tlMt2uXbukRIkSsn37dlO2d+aMSHCw\nyOLFpmzuMpdLZMQIY33gVatM3rhncEZmIQBz647JkydL/vz5L/57Sdh15sXauNFYwvfAARsKtBia\n24AxcaJIrVoiFy7YXYnvoVPA+beOHTty1113MXToUEva+7RDFNMWFyPqVC3y5A/8mewdcjGJ43Kb\nGZfLRfPmzXn88ccZOHCgKdvs3t0Yg/z556ZszpCYCM8/D9u3G8MrgoNN3LjnHJJZCLDcuiMiIoJu\n3bpRrVo1li9fTkhIyDWLPiUnw913w8CBxhG5QKe5DQyHDxuT+SxYAA0a2F2N7+mFe35swYIFbNy4\nkZ9++smS9rbP38MHs2qzKuJcjuggK3s0bdqUrVu3UrBgQXr16uX1apEzZhgXPJl68ciRI9C+vTFI\nNDpaB92pbFu3bh1du3Zl+vTp1K5dmz59+hAeHn5Nzt9/31iksUcPmwpVyk0ixnGD/v1zRgc5J7Lv\nmL2bEhMTpUqVKjJ37lxL2ktJTJF7b9ksX4ZFWtKev8AZpwDtfplMs3z5csmbN2+mp6DdceKESJky\nIivMXASyfXuR/PlFqlY1xnH4GZyRWQig3GbXjh07pEyZMjJr1qxMH7d6tbFC2dGjFhXmB9DcOl54\nuEiDBiLXWSgyYOFmbnV2C4t8/PHH1K5dm7Y+uUz/WqMfX86t+ZP51+T7LGlP5TxHjx6lc+fO1K1b\nF4CQkBDCw8M93p4I/OtfxpG4Jk1MKnLBAvjtN+Nc+M6dejWVyrajR4/SqlUr3n///Uwvsk5MNIZX\nfP45lCljYYFKeWHfPhg82FgwJJ9ezx+w7N4pyZY9e/ZIiRIlZN++fZa0t2nadgnKdVL2/3HIkvb8\nCc44umH3y+S1pKQkadq0qQwfPlxiY2MlLCxMYmNjvdrm5MkiNWuKJCaaVOTPP4uUKiXSqJEIiISE\niHhZoy/gjMxCAOQ2u+Li4qRu3brywQcfZPnYV18V6dzZgqL8DJpbx0pLEwkNFfnwQ7srsR564Z7/\nefzxx7n33nsZPHiwz9tKPpfMvaX28FKXk/Qan/OOIjvkYhJH5DYzAwYMYO/evcyaNcuURUOOHDEu\nHpk3Dxo2NKHAr76CDz6A+fOhQgXLlpj2hEMyCwGQ2+y4cOECbdq0oXbt2nz++ecX/32ua9ky6NLF\nmKYwKMjCIv2A5ta5vvgCfv7ZyG+eHHa5ki5L7Wd+++03Xn31VTZt2kSBAgV83t6Q+yNZH3MLvx0L\nIVdup//zus8hH9x+n9vMTJw4kffee4+1a9d6fZEeGMMsHnkEQkJg+HATNjZiBHz/vTHJsgNWc3BI\nZsHhuc2OtLQ0unTpQp48eZg8eTJ5MulBnDsHdesaU21bNOW9X9HcOtOOHcZwtpUrwaQ1nxxFZ7fw\nI4mJiQwYMICvv/7akg7yuh+38fXyWmxcl5YjO8jK9zZs2MDAgQNZunSpKR1kgPHj4ehRePttLzfk\ncsFrr0FEBCxfDmXLmlKfyhlEhJdeeonY2FjmzZuXaQcZ4M034b77cmYHWTlTWho88wwMHZpzOsiJ\niYmcOXOGM2fOMGjQILefr51kHxo1ahQNGzbk4Ycf9nlbF+Iu0KN3AT7rv5NyDcy66kmpy86cOUPH\njh358ssvqV27tinb3L/f6GwsWQL583uxodRU6N3bmAM5OtqYZFkpN3zwwQesWrWKyMjILA9qRETA\nnDk+Wg1SKR/55BO46SZjyjenio2NZe/evbz55pvs37+fXLly0bJlSxISEoiNjb3UIb54ExFKlChB\n8eLFOXDggNvtaSfZR7p06cL06dNp1qwZcXFxph11u5F3W66iZskCPPmZrimpzJeWlsbTTz9Nhw4d\n6NKliynbdLmgVy949VWoU8eLDV24AE89BQkJRu/llltMqU/lHOHh4fzwww+sWLGCwoULZ/rYf/4x\nVjT/7ju/HOKu1HVt2QKjR8PatWDCZSQ+c+HCBfbv38/evXvZs2fPFV/37t1LWloalStX5vDhw5w+\nfRqAm266iQEDBlC8ePFrbjfffPOlbbdt25b58+e7VY/Tz8n75VijxMRESpcuTXx8PABhYWFMmTLF\nZ+0tH7uJsJdKs2lLHkremcOuHrmKQ8bJ+WVuM/POO++wYsUKIiIiyJvXnH3rL7+En34yLh7xeJPx\n8fD441CyJEyc6OXhaHs4JLPgwNxmx4wZM+jfvz/R0dFUqVIly8c/+6xxNO6rrywozo9pbp0jJQXu\nvRdeeMFYPMQfpKWlsWXLFv744w/GjBnD8ePHSUpKwuVyUaFCBW6//XYqV65M5cqVr/i+RIkS5MqV\n61KH93qrX95IXFwcxYyzjE7IrSmsmjUk29LS0qRjx45StmxZASQkJMTrqbEy0+P2aLmJBGlw8zaJ\n3Rfns3acAmdMS2T3y+SWmTNnym233SbHjx83bZthYSJ584rcf78Xs7KdPGlM69anj0hqqmm1WQ1n\nZBYcltvsiIqKkpIlS8r69euz9fiHHhIpUECkZUu/nE3QUmhuHaNePZFixURat7Yvt7GxsbJgwQIZ\nMmSIPPTQQ1K4cGGpUaOG9OrVS6pWrXppQapOnTple3ueTD2Kc3JrCk/+rXzq1Vdflfvvv1+OHTtm\nytyxmTl/8rwUJk6MS/pFwoLNXKbMmXDGG8DulynbYmJipGTJkrJq1SrTtnnggLEA3qXcerJI34ED\nIjVqiAwaJOJymVabHXBGZsFBuc2OJ554QvLmzSt33313tj6nly0zduy8ym0AQXPrCOHhxo6dlbl1\nuVyyY8cO+eGHH6RPnz5Su3ZtufXWWyU0NFQGDx4sv/32m5w6derS49u0aWPJQUURR+X2ktuApcBW\nYAswIP3+4kAEsANYCFzvWLpPX0x3ffnll1K9enU5ffq0z9tKik+StiXXSLncR411Egpu0SPJYukb\nIGByeyNnz56VmjVrSnh4uGnbPH5cpHp1o3/r8foeMTEiFSuKjB5tWl12wtoP7YDPbXZs2LBB8uXL\nl+3l1DdsMNaluftuv16XxlI447MWAii37vrf/0TKlTPO2Pk6t7GxsXLfffdJ8eLFJV++fBIcHCxP\nPvmkfP7557Ju3TpJzmTta7MWpMoOHNhJLgPUS//+VmA7cCfwEfBG+v1vAqOu81yfv6DZNXv2bClb\ntqzs3r3b522lJqXKkxVWyKOlV8mJbSclLHiFdpDTYd0bICByeyMul0s6deokzz//vGnbjIsTqV9f\n5J13jA/qsDAPPrDXrxcpU0Zk3DjT6rIb1n5oB3Rus2PZsmVSqlQpqVevXraOXm3fLlK2rMi0aV7k\nNgDhjM9aCJDcumv+fGPH7q+/fJfbhIQEmTp1qnTo0EEKFy4sJUqUyPaOp11wYCf5ajOBh4AYoHT6\nfWXSf76a3a+3iIisXbtWgoKCZPXq1T5vy5Xmkr53Rklo0T8lMdas9XsDB/a9ARyX28x89NFHcvfd\nd0uiSWtEnz8vct99Ii++6MXoiNatjfPd9esHVC8Fez+0Ayq3WZk3b56ULFlSFi5cmK2jVwcOGCct\nAmifzHtnzog8+qhTPmshAHLrrmXLREqWFPnjD/O3nZKSIgsXLpSePXtK0aJF5aGHHpLvv/9eYmNj\nLR024Skc3kmuBOwHCgGxGe7PddXPF9n9esvevXulXLlyMmPGDEvae6vRUgkpuFXOHj5rSXtOgz1v\ngEo4LLeZWbRokZQpU0YOHDhgyvaSkkTathXp1k0kLc2DDbhcImPGiOTLF5ADQrHvQ7sSAZTbrPzy\nyy9SqlQp+SObPYeLQ4M++cTHhfmrkydFoqJEvvpK5KWXRB580DikfuutIrfe6pTPWnB4bt11cWjQ\nwoXmbdPlcsmqVatkwIABUrp0abn77rtlzJgxcuTIkSseZ+WwCU/hZm79aZ7kW4FfgZeB+Kt+d8M/\nbNiwYZe+Dw0NJTQ01DfVXUdsbCxt27bljTfeoH379j5v76O2kczeEEzUX8UoVK6Qz9tzgsjISCIj\nI+0swXG5zcz+/fvp2rUrkydP5rbbbvN6e2lp0LMn5MljrBTt9vycycnGzPerVxtrqUZFGetXh4d7\nXZtd/CCzEGC5zUp4eDjDhw8nIiKCu+66K8vH//MPtG4NYWEwcKAFBdqpZ0/YuNFYkKdxY9i1C7Zt\nM957NWtCrVpQsyaRwcFE1qkDhQvD5MnG46zlUWbBubl1144d0LYtjB0LLVt6v72YmBgmT558aYn2\nrl27smzZMqreYLm+okWL+nS6W0/4yeet1/IBvwP/l+G+GIxTKABl8bPTf0lJSRIaGiovv/yyJe19\n0zVKKuU9IIfWHsn6wTkY1h7dcFxuM3PkyBEpVqyYVK5cWdq0aeP10QCXS6RvX5HQUBGPRm2cOGGM\n0Xj8cZH4+IAdEIr1R+QCKrdZGTVqlFSuXFl27tyZrcebMjTInyUmiixaZMwMc/fdIrlzXz5DU6+e\nSESEyOHDmf/xsbFO+awFh+bWXWYNDUpLS5PZs2dL6dKlJV++fFKpUiVZunSpuALkzYADh1vkAn4E\nxlx1/0cYg/EB3sKPLiRxuVzSvXt3ad++vaRaMD/rLwNWSLncR2Tnon0+b8vpsO4N4LjcZmbbtm1S\nsSVwTb4AACAASURBVGJFqVSpkmkXXgwaZFxNfdaTkUGbNolUrmxsxKMxGs6BtR/aAZXbzLhcLnnj\njTekZs2acujQoWw9JznZy6FB/ig1VWTdOpFRo4yJnm+9VaRRI+MK2shIkYcf9mjqA5zxWQsOy60n\nTpzwfmhQUlKSjB8/XmrWrCkNGjSQO++80+8vwvMEDuwkNwNcwEZgQ/qtNcb0LovwwymJ3n33Xbnn\nnnvk/PnzPm9r/vtrpVSuE/LX1O0+bysQYN0bwHG5vZGoqCgpVaqUTJgwwbQLLz76SKRmTWNYo9tm\nzxYJChKZNMnj9p0Eaz+0Aya3mUlNTZU+ffrI3XfffcV8rJk/R+Spp0QefdToLDuWyyWyc6cxlrhj\nR5HixUXuvNMYVzxrljHNTEYenqHBGZ+14KDceiIuTqRBA2OfxxNnz56Vjz/+WIKDg6Vly5ayaNEi\ncblcjrgIzxM4sJPsDctf4HHjxknlypXl2LFjPm9r2X//kpK5Tsgf32zyeVuBAme8Aex+mS755Zdf\nLl3tL2LOhRfh4SKVKolk8+DdZS6XyIcfGhN7mrh4ib/DGZkFP8ptZpKSkqRz587SokULOZvN0xgu\nl0i/fl4MDbKby2VMaVCjhrFyRIECIk8+KTJhggdvxOxBc2u7hARjDuT+/d0fGnTs2DEZNGiQlChR\nQp588slrVp10wkV4nsA5uTWFpS/uwoULpVSpUvL333/7vK0Nv8RIqVwnZOHIdT5vK5DgjDeA3S+T\nuFwuGT16tAQHB8vGjRtN2+7FyeuzOfzzssREke7djUMiBw+aVo8T4IzMgh/kNivnz5+X1q1bS/v2\n7d2avvDi0KB//vFhcb6wc6fIkCHG0KSaNY2vFs0Ag+bWVsnJIu3aiXTt6t7QoB07dkifPn2kaNGi\n8sILL1iytoM/wTm5NYVlL+ymTZukZMmSEhUV5fO2ti/YI2VzH5Vpr/lgksMAhzPeALa+RqmpqfLS\nSy9J7dq1TZvmTeTKyevdcvSoMUYyLMy4aiqHwRmZBT/vbMTGxkrTpk2lR48ekpKSku3nffSRMRrB\no6FBdjhzRuTrr0WaNDHecC+/bCyy43KJtGlj2ZKAaG5t48nQoLVr10qnTp0kKChI3n33XTlx4oRv\ni/RTOCe3prDkRT106JDcdttt8tNPP/m8rQOrDkvFPAdl3DPRPm8rEOGMN4Btr09CQoJ06NBBmjdv\nbuppNI8nr//zT5EKFUSGDQugK6XcgzMyC37c2Th27JjUrVtXBgwYIGlu5Oji0CC/P3mRlGSMJ+7Y\nUaRIEZHOnUV+++3aHpKFM8CgubXFxaFBDzxgDLfISmRkpJQrV07y588vNWrUkIN+H3bfws3cujtr\naY6zZcsWatWqRZ48eZg0aRJxcXE+a6tb5RVUb1SUm3Mn8cSwrOfyVModp06dokWLFhQsWJD58+dT\ntOiNrnNxT4cO0Lw5VKoEd97pxhN//RUefhg+/hiGDvVgEmWlYNWqVVStWpW4uDh27NjB2bNns/W8\nFi2MKbgrVIBbb/VxkZ4QgXXrYMAACA423ietWsG+ffC//0G7dpAv35XPKVoUpkwxvqqA43JB/fow\naZLxT5+UdP3HiQiLFi3i/vvv5/nnn6dQoUIkJycTExPDwICf+Ftl5LO9jbS0NPn4448lKChIqlWr\n5tOpUFxpLpn84grJS9Ll4WTBK0xvJyfAGUc3LH9ddu3aJVWrVpVBgwa5daQtM8nJIh98YKwU7dYw\nyNhYY/xk/vzGKeMAuzDEXTgjs+BnR+Ti4+Pl5ZdfljJlyrg1XVVsrEivXsa1bX65gOOZM8bwo5tv\nNm5vvSXih+NG0dxaas8ekebNRQoVunFuXS6XzJs3Txo1aiQ1atSQSZMmSUpKSsDOVOEJnJNbU/jk\nRdy3b5+EhoZKs2bNZPfu3T4N2LHNJ6R92ZVSs8BOaXzrX8ZwsoJbJHZfXNZPVtfAGW8AS1+T1atX\nS5kyZeSrr74ybZubNxvX2LVqZcwIkK1hkGlpIj/8IFKmjLG8rV/2UKyHMzILftTZ+P3336VSpUrS\no0cPOXXqVLY/o+fPF7ntNpF//UukZUvLhu9mz7p1Ru+9aFFj7JKfvz/Q3FoiLU3kv/81ZsUcPVqk\ndetrc+tyuWTWrFkSEhIitWrVkl9++eWKNRwCdaYKT+Cc3JrC1BfP5XLJhAkTJCgoSEaNGnUpZL4I\n2MWjx6VynZBBjZfKhX8uSOy+OAkLXqEdZC/gjDeAZa/HrFmzJCgoSGbPnm3K9lJSjKPHQUEi331n\njI/L1jDIjRtFmjY1PtnXrLH0AiN/hzMyC37Q2Th9+rT07NlTKlasKPPnz790f1af0XFxRv+zUiVj\nsTnjOX6wgGNCgsj48cbKdxUriowcKXL8uCPeH2hufe7i0eNGjUQuTqqVMbdpaWkybdo0qVevntSt\nW1emTZtm2pnCQIVzcmsK0164kydPSseOHaVWrVqyYcMG07Z7Pcc2n5AO6UeP1/yw1adt5TQ44w3g\n89fh+eeflypVqkj+/Pll8eLFpmxz82aRhg2NBbqyPSlGXJxx9X2pUiLffGNcli3iJz0U/4AzMgs2\ndjZcLpdMmTJFypYtKy+99FK25z8WuXz0uF8/D1d/9IXt20VeeUWkRAljib/ffrv83hBxxPsDza3P\npKWJjB1rHIz46KMroyFizFD0888/S61ataRhw4Yya9asgFk22tdwTm5NYcqLNm/ePClXrpwMHDjQ\nrbk13eVKc8nPL62Q0rmPy1uNlkpirBNnrfdvOOMN4NPXIDo6WgoXLmzaOPqMR4+//Tabk9a7XCIT\nJxrDKp5/3kHza1kPZ2QWbOpsHD58WNq3by81atSQFSuyf63GxaPHFStePnpsq5QUkenTjaWhS5US\nefNN41ChQ6G59YmLR4/vvVdk27Yrf5eUlCShoaFy8803S5EiRWTKlCnaOXYTzsmtKbx6sc6dOyf9\n+vWTChUqyJIlS0z6J7i+Y5tPyBPl9Oixr/H/7N13eBTV/sfxd0JCaCGFGgIklATpICH0JjWhabiR\nerFwjYpYuYJiw4tgu8gVRQEF4aKhSVAQEsqPhF4vgoB0BIFIT5Cedn5/TBITSthNdnZ2dr+v55kn\nu5vdne+Gzw5nzpw5Y44vgC6ffdeuXSoyMlIFBwerRo0a2WQcfd7e4xMnrHhR+/baoOXNmwu9bleB\nOTILdm5sZGVlqa+++kpVqFBBvfnmm1Z1YCQkOFDv8cCBWkvdy0tr+Xz7rVI3bxpcVNEhubWpgnqP\nT5w4ocaMGaMqVaqkfHx8dJ1IwNlhntzaRKH/UFu2bFEhISFq6NChKvX2a9nbUE7vcUW3c9J7bAeY\n4wtg08985MgRNWjQIFWpUiU1efJkdfPmzSKPo09PV2r8eCt7j//8U6lXXtFOOpoy5c5jhOKuMEdm\nwY6NjSNHjqiHHnpIhYWFqd1WXJ0mNVWpYcMcoPf4yhXtktAPPaRUsWIOfxJeYSC5tZnfftOikrf3\nODMzUyUkJKg+ffoof39/9cILL6hff/1VZqooIsyTW5uw+g+Ulpam3nrrLVWxYkW1cOFCHf4J/pLT\ne1y3+BG1deZeXdclNJjjC2CTz/rHH3+o4cOHK39/f/Xuu+9aNU6zIDm9x127Wth7nJWl1Ny5SgUG\nKvXEE9qJR8JimCOzYIfGxpNPPqlq1qypPD091bhx46y6cl5O7/HTTxvUe5yRobXM//537YIfvXop\ntWCBdhjGwU/CKwwkt0WWt/f4ww+1zomLFy+qf//736pWrVqqcePGavr06erq1au5r5GZKooG8+TW\nJiz+w9y8eVM99NBDqnTp0qp8+fJqf86pojpIPZGq2njvUp7cUjU9Tqg/dp/RbV0iP8zxBSjSZ0xN\nTVVjxoxR/v7+6uWXX7bZ5UVPnVKqaVNt3uMGDbTpWgt08aJSn3+unXxUurR2CrZsuK2GOTILOjY2\n9u3bp1555RXl4eFh9aHkvXuVCgnRRjM0b25ABPfvV+r115WqWlWpJk2UmjRJqTN5tvkmOAmvMJDc\nFlpWlrYP5eOjLVu2KLVt2zb1+OOPKx8fHzVkyBC1adMmGW+sA8yTW5u47x9k9+7d6oUXXlDly5fX\ndSxPZnqmWvXh/9Tg4A3Kh1RVjgtyYRADYI4vQKE+2/Xr19XHH3+sKlSooJ544gl1wuJBwvd244ZS\n8+Zp8x37+WlTGBd4ZDg9XTsT/29/U6psWaUGDFCqYUOnPJxsL5gjs2DjxsaVK1fUzJkzVevWrVVA\nQIAaM2aM6tChg0WHki9e1Eb0hIUpVaWK1oNs1wheuKDtIDZvrn1p/vlPpawYFuIMcNHcFsXx40q9\n+65SNWtq14nJyayf30oVFBSkPvjgA5t1eoi7wzy5tYm7/hFSUlLUlClTVLNmzVTVqlXVW2+9pdtF\nQQ6vPq7ebJuoqhU7pZqU3K8+jUpS5349ryLKb5MLgxgAc3wBrPpMTzzxhAoNDVVeXl6qZ8+eat++\nop34mZWl1Nat2klN/v7ayfbffqvUtWsFTM+6d6/WEKhcWesxnjr1ryeYYE5XR4Y5Mgs2aGxkZWWp\nrVu3qqeeekr5+fmpPn36qCVLluQOqyjoUHJ6ulLLl2uN4LJllerfX5veLSPDThE8e1abdqBcOW2c\ncb9+WgFWDAlxJrhQbovi2jWl/vtfbcyxv79STz55Q733XoIqWTJRgVIeHjvVjBmL8l38Q+gH8+TW\nJnI/eGZmplq9erUaNGiQ8vHxUdHR0SohIUGXq878efpPNePxdapd2V2qgts59WKTJPXzvAP5niMX\nBjEG5vgC3PdznDx5Uk2dOlX17t1bubu72+QISHKydtZ0vXpK1aql1Lhxd445zndkOKe7rnlzrbvu\ntdf+mtH+ni8S1sIcmYUiNDYuXryoPv30U9WwYUNVs2ZNNWHCBHX69GmLXvvrr0qNGqXNJhgero3h\nvH0okC4RvHZNG+g8cqRSjRtrx8XLlZOjJtlwgdwWVlaWUhs2aCeR+vpmqTZtUlX//otUy5Ydlbe3\nt+rVq5eqUaOpgnkKfGSWCjvCPLm1CXXixAn17rvv5k579emnn6rzOszJmpmeqdZM3KmG1lyvfEhV\nfSpvUYtf26JuXbll83WJwsMcX4A76s7IyFAbN25UY8aMUY0bN1b+/v5q0KBBKjY2VnXu3LnQR0Bu\n3lRq4ULtegW+vtq8sevWFTBbRXq6UsuW3b27TugCc2QWrGxs/OMf/1CNGjVSAQEBqmzZsmrQoEFq\nzZo1Fl0RLCVFO1jRooV28OLVV7WDGbrKyNCuBjlhgtZjXLq0Um3basfHN23Svhty1CQXTprbovj9\nd21O+Zo1M1SVKpdVs2YLVIUKjVVISIh68cUX1YoVK3KnMpRZKoyBeXJrE8rDw0M9+eSTaseOHTYd\n5J6VmaVObU9WP47ZohqX2K+8uKHK8Kca33WNOrNHxgw5KszxBVBKKXXp0iU1d+5cNWTIEFW+fHnV\nsGFD9dprr6kNGzbkO6vfmiMgmZlKHTqk/R8fEKCUp6d2NejZs7VZqe5w7pzWKH7nHa0BULy4Ut7e\nStWvr81LJHSHOTIL92lsXLhwQS1btky9/fbbqlu3bqpYsWK5R0D69u1b4GvT0pT6+Wel2rXTZhAs\nVkypPn204e+6jmY4elRrjffrpx0Lr1dPu0Lk0qV3nyJDjprkwklyWxTXrim1caNSFSseVu7ulxWk\nqQoVflIlS3ZSPXpEqMmTJ6vDhw/f9bUyS4UxsDK3HjqF0m4yMjK4cuUKzZo1K9L7JO88w45FJ/jf\nhhv870ApdlwIJlN5ElbOnZS0MtyiBLcowa79XlRqUMFG1QtX5e/vT3p6Oh06dKBnz56MHz+e6tWr\n3/W5vr6+LFiw4I7Hs7Lg6FH43/+0ZccO+Pln8PWFq1fh4kXteVWqwNChwPXrsPFn2LYNtm7Vfl68\nCM2bQ4sW8PTTkJICW7bAvn0wahTcZb1CpKWlsXv3brZu3cqWLVvYunUr586dIywsjJYtW/Lcc8+R\nkZHBmjVrCAsLY9asWbmvTU+HX3/Nn9u9eyEoSIvj+fPa87y8oGdPGxV85Yq20l9/1bK9bx+sW6cV\nU6ECvPkmfPopBAYW/D6+vvKdcFHXr8Pu3ZCUdJW1a6/yyy8enDtXlhIljnLtmg9QFoCsrJJcuPAT\npUqVKvD97rVdF8IaPYADwGFg9F1+X6hDFck/n1FL3tyq3umQqHpV3Koqu59R5d3Oq+7ltqsxrRNV\n3KjN6sSmUyorU+uZ1k7CS7TLSXiJiYm6vr8R67LnZ8Ixejfum1tARUVFWfy5srKUOnxYm4ni1Ve1\nnmIfH6WqV1fqkUe0C38kJPx19eeIwN1aZkv8olIGPqtNTVWypHaYePhwrWt5/36t6zmvQh5OdsYs\n2WtdOEZmwYLcBgUFqebNm6tSpUqpRo0aqaeeekp9/fXXau/evXeceJSSkqL69euv1q+/rGbO1GLX\nooVSpUop9cADSg0erM2Wtm7dX522WvwSCz+a4coV7azUmTO1scQREdqXpGRJbX7DIUO04RQ//qhU\neLhKtNP4Ysmtru6bW2tdv67U//3fNfXPf/6m2rQ5qMqXP63c3W8oD49dqnjxmapWrQ9Vv34T1KRJ\nX6ikpCTl779FQaIqVWqvOm6H85Bke1t4OFFPcjHgc6ALcBrYDiwB9ud90qpVq/D19QVAZSmuJF/h\n9K7zJO+/zOnD10n+PYPTyW4kX/Ri/R+1SFVlAT/a+pymVX144rEsPu+bTvVWFXFzL3/XQmJ3hNKm\n4Sus2vMJvkE+On5kSEpKomPHjrquw97rsudncgAW5TYsLIwZM2YA2v/SFy9CcjKcPn3nz82bITUV\nPD3hoYegdfM0Rg06R7PnjlHhyjE4eRKOn4T1J+HUKTh5ktjLbrShM6tursZ3fw2YOhUaN4YSJQqu\nPjYWYmJg+nSt18xCzpglye2duT1x4gQ1atTg7NmzlCxZhnPntJwePQrr1+fP7bZtvly+PI+EBIiM\nhFatoH9/aNoUvL3vXkRsLLRpk8SqVR3vjN/Vq3DmTP7ljz+0nytXwrlzkJEB9etrWa9XD555Rrsf\nHAzFiuV/v6lTSQI6hoVpedeR5FY3FuU2r7Q0+O23G/zyy0UOHbrK0aM3OXkykzNn3Ll4sQRnzlRB\nqTJAOj4+u3nggUsMHOhOly6Vadq0HlWrPo6bm1u+99y58zING77Cnj2fEKRzGwFke2tPjtxIDgeO\nAMez788D+nJb+Ov536Rmmd2cu1mW5PQKgDuBnu5UKe1GoK8bVSpA7drQvovi2JcXOX9TGypR3vsm\n4zd2tKgQ3yAfol+ppnsDWTgFi3L7++9b6dFNcfZMBn+cdadUiSyq+N0k0PcqVUr/SWDJSzQqfp4I\n9zOcvtKKi5kNyMyE0isX88bqAVC1KlSr9tfStCn06ZP7uO+QIUQnLMI3LAxWrbK8wSuHk12VRbn1\n8LhASooPDzzgwblz4OenjVCoUuWvn61aaT/fflsbTnHtmvbal19Ga6FcvQonrmhDIG5bfL/6iujT\n+/Bt/I3W0L106a8GcVYWBARA5cr5l5YttaFDp05pK3rgAZgz5/6fWGuRW/f9EI7Goty6u5+nZMnL\n3LrlS2ZmWeAixYtfoHTpy/j5XaNChQxCQhRduxbnyy8zuHmzIeCDt3cFtmzpe98igoJ8eOWVanZp\nIAv7cuRGciBwMs/9U0CL25/0h6pMiNsf/BiXRWCTLLyreOPmXuaub/jNnO3suglhpfYxfUN9faoW\nrs6i3J47506980ms9htFQLWblPLzAh+fuy7TEi9CGoSxjeldFsCyG+DuXnAVc+dKA0BYw6LcZmSU\no9ylQyyJmE9ljwsUz7wBt25pjd/zt+BU9u1bt/j8l7eBLoS57WD6yr+B1x+Qmal1I+csZcrkv//b\nb3D5srZUqQIffqg1hAMCtOfe1oOXa/FibWCzNb3Cvr4QHS3fD3OzKLdKVaCk53Hi4xX163vg7x+I\nm1vVu77hui/W8D/gAff/kbDs7s+5Q0yMdjRj2zZt58uSTMXEwKFDUKqU5a+x57qc9TM5kX7AV3nu\nDwE+y/+UWrlnT8siS/ZyBGNJbmWxdjE6syC5lcX6RXIri+mWWtpPizlyT/JpoFqe+9XQ9hLzOHqP\nbgUhDCO5FWYkuRVmJLkVVjlqdAE25IH2eYKB4sAuoK6RBQlhAcmtMCPJrTAjya1waRHAQbTDOq8b\nXIsQlpLcCjOS3AozktwKIYQQQgghhLi/+00gbgvVgERgH7AXeEGn9eRVDPgZWKrjOnyB79GmyfkV\naKnjul5H+/vtAWIBLxu970zgbPb75vAHVgGHgJVon9OR2COzYP/c2iOzYL/c6pVZkNwWRHJbNJLb\n/CS3RSO5NbFiaIdWggFP9BuHVBlokn27DNohHb3HO70CfIc2IbpeZgNPZt/2APSa3DEYOMZfoZ8P\nPGaj924HNCV/+D8CRmXfHg18YKN12YK9Mgv2z609Mgv2yW0w+mUWJLcFkdwWXjCS27wkt0UnuTWx\nVkBCnvuvZS96+wHorOP7VwVWA53Qby/RBy2U9uCPtsHwQ/uSLUW7MpKtBJM//AeAStm3K2ffdxRG\nZRb0za09Mgv2y63emQXJraUkt5aT3OYnuS0ayW22+1yRwGHdbQLxQJ3XGYy2R7JVx3VMAl4FsnRc\nRw3gPPANsBNtjslSOq3rEjAR+B1IBlLRvuB6qYR2aIXsn5UKeK69GZFZ0D+39sgs2C+39s4sSG7v\nJhjJrTUkt/lJbotGcpvNrI1kqyaDtoEyaGNzXgSu6rSOXsA5tLFGes7r6AE8CHyR/fMa+u1h1wJe\nQttwVEH7Ow7WaV23y5k83FEYUYveubVXZsF+uTUysyC5BcltYUhu85PcFo3kNptZG8kWTCBuM57A\nIuBbtMMoemkN9AF+A+YCDwH/1WE9p7KX7dn3v0f7EughDNgEXAQygDi0z6mXs2iHTwAC0DYojsKe\nmQX75NZemQX75dbemQXJbV6S28KR3OYnuS0aya3J2WsCcTe0EE7S4b0L0gF9xxutA0Kzb48FPtRp\nPY3RzvYtifa3nA08Z8P3D+bOAfk5ZzG/hmMNyLfnpPdG5FbvzIJ9cqt3ZkFyey+S28KT3OYnuS06\nya3J2WMC8bZoY392oR3i+BltWhm9dUDfM1cbo+0h7kbbc9NrdgvQziLNmd5lNtoety3MRRvDlIY2\n9uwJtJMAVuO4U7vYa9J7I3Krd2bBfrnVK7MguS2I5LZoJLf5SW6LRnIrhBBCCCGEEEIIIYQQQggh\nhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQ\nQgghhBBCCCGEEOIO1YBEYB+wF3jhHs+bDBwGdgNN8zzeAziQ/bvR+pUpRD6SW2FGklthRpJb4bIq\nA02yb5cBDgJ1b3tOJLA8+3YLYEv27WLAESAY8AR23eW1QuhBcivMSHIrzEhyKxyau47vfQYttABX\ngf1Aldue0weYnX17K+CL9qUJRwv/cSAdmAf01bFWIXJIboUZSW6FGUluhUPTs5GcVzDaIZKttz0e\nCJzMc/9U9mNV7vG4EPYUjORWmE8wklthPsFIboWD8bDDOsoA3wMvou0p3s6tsG9cpUoVlZycXNiX\nC+eUjG02lJJbYS+2yixIboX9SG6FGVmVW717kj2BRcC3wA93+f1ptIH7Oaqi7Q3e/ni17MfzSU5O\npkaNGkyePJn169dz9uxZsrKyUErZfHnnnXd0eV+j1uOsn4k7D9U5ZG6d7e/ujFmy17pslFnJrQOv\nyxk/k+TW+f+NnfEzWZtbPXuS3YAZwK/Af+7xnCXACLSxRC2BVOAscBEIQTv8kgz0Bwbe7Q1+++03\nJk6cSEBAAAcPHiQrK4s6deoQGhpKaGho7u2QkBBKly5ty88nnJNdchsZGUlsbCy+vr62rF24Lrvk\nVggbk9wKh6ZnI7kNMAT4Bfg5+7ExQPXs29PQzliNRBt8fw14Ivt3GWhfihVoZ7DOQBvQf4ewsDBW\nrVqV29i4cOEChw4d4tChQxw8eJD58+dz6NAhjhw5gru7O8WLF6dixYp8/fXXtG3bFje3Qh/FEc7J\nLrmNj4+nXr16DBw4MHeHLjQ0lCpVqkgmRWHYJbdC2JjkVjg0PRvJG7BsOMeIezwen70UKG8DGaB8\n+fKUL1+e1q1b53teZmYmbdq0YevWraSmphIREYG3tzfdu3enR48edO3alXLlyt1zPR07drTgoxSd\nvdZjz3XZ8zPZgF1y26BBA1577TWSk5PZsWMH3333HYcOHeLatWuEhITkOwry/fffc+HCBby9va3q\nfZYsmWddNmCX3NqDM/4bO+NnshHJrQOvyxk/k7XM3mWlsseYWCQyMpL4+Pjc3ueLFy+yYsUKEhIS\nSEpKom7duvTo0YPu3bsTHh6Oh4c9zmsUtpTdC+vouVYpKSl3beympqZy+PDh3CMhhw4d4qeffuLa\ntWuA1rieNWsWTZs2xd3dXpPTCD2ZJLNg5fZWODfJrTAja3NrhoAXxKrwp6amEhMTw/Tp0+9ooNy6\ndYtNmzaRkJBAQkICJ0+epEuXLnTv3p01a9Zw+vRpSpUqJeNIHZxJNtyF2rkLCQmhc+fOJCYmkpKS\nQrdu3XKPglSsWFHHcoWeTJJZkMaGyENyK8xIGsk2kpyczMqVK1mxYgULFy4kMzMTgOjoaBYsWKDL\nOkXRmWTDXeSdu+PHj+ceBUlMTKR27dq5R0FatmyJp6enXrULGzNJZkEaGyIPya0wI2kk66B79+6s\nXLkST09POnXqxLhx4wgPD9d9vcJ6Jtlw2zS36enpbN68OfcoyG+//Yavry/FixcnODiY+fPny9EP\nB2aSzII0NkQeklthRtbmVgY1WmD+/PlER0fz+++/06dPH/r160dERASbN282ujQh8PT0pH37ud1a\nEgAAIABJREFU9kyYMIGdO3dy4MABvLy8OHToECtXrqRjx45cv37d6DKFE4iMjCQ1NdXoMoQQwi7M\nsBdYEEP2EG/dusWsWbN4//33CQ0N5e2336Zt27Z2r0PcySS9G7rnNmccc7169ahVqxbbtm1j5MiR\nPPvss5QpU0bXdQvrmCSzAAqgcuXKDBgwIN989IGBgTJ1oYsxU26lJ1nkkOEWdpSWlsZ///tfJkyY\nQHBwMO+88w4dOnQwrB5hmg237rm9fRzznj17eO+990hKSuLll1/mueeew9vbW9cahGVMklkA1aBB\nA15//XWSk5PzzcBy5cqV3KkLc6Yv/P7777l48aLVUxcKczBTbqWRLHJII9kA6enpfPvtt4wfP57A\nwEDeeecdOnXqJD0rBjDJhtuw3O7bt4/x48ezevVqXnzxRUaMGIGPj48htQiNSTILBUxd+Oeff+Ze\nxCmn8bx06dLcqQsbNWrEd999R/369WW76CTMlFtHaCcIxyCNZANlZGQwd+5c3nvvPS5fvkxgYCCV\nKlWSXhQ7MsmG2/DcHjhwgAkTJhAfH8+IESN48cUXJaMGMUlmoZBTF9auXZv27duTmJhIWlpa7gWc\nunTpgp+fn47lCj05a26Fc5NGsgPIzMykfv36HDx4EJBp4+zJJBtuh8nt4cOHmTBhAkuXLmX48OG8\n9NJL+Pv7G12WSzFJZqGIUxcqpThy5EjuLCzr16+nQYMGuY3msLAwihUrpmP5wpacNbfCuUkj2UHk\n9KJ4eXnRv39/pk+fjpeXl9FlOT2TbLgdLrdHjx7l/fffZ86cOdSoUYOaNWvKERA7MUlmwca5vXnz\nJhs2bCAhIYEVK1aQnJyMr68vXl5eVK9enXnz5kn+HJir5laYmzSSHUROL8rEiRN5+eWXOXnyJN9/\n/z3VqlUzujSnZpINt8Pmtnnz5uzYsQOAfv368f333xtckfMzSWZB59yeOnWKzp07c+jQIQDCwsLY\ntGmTXBjHQUluhRnJPMkOwtfXlwULFlCtWjUWLlxIVFQU4eHhJCYmGl2aEPdUoUIFAHx8fPj9999J\nTk42uCLhKqpWrUqtWrUAqFOnDiVKlKBOnTp8/fXXpKWlGVydEMIVSSPZDtzc3Bg9ejRz5sxh4MCB\nfPLJJ8ierXBEsbGxREdHc+zYMfr06UPz5s1Zv3690WUJF5GTvy1btrB+/Xpmz57NggULCAkJYerU\nqdy6dcvoEoUQLsQMh0oKYrrDKCdOnCAqKoqQkBC+/vprubCDjZnkEKBpchsfH8/jjz/Om2++yYgR\nI2T6Lh2YJLNgYG43b97Mv/71L/bu3ctrr73GsGHDKFGihCG1CI3kVpiRDLdwcEFBQWzYsIGSJUvS\nsmVLDh8+bHRJQtxTzuXXZ8yYwdChQ+Xy1sIQrVq1Ij4+nkWLFpGQkECtWrWYPHkyN27cMLo0IYQT\nk0ayAUqWLMnMmTMZMWIEbdq0YenSpUaXJMQ91axZk02bNqGUonXr1hw7dszokoSLCg8PZ+nSpSxZ\nsoQ1a9ZQq1YtPvnkE9l5E0LoQhrJBnFzc+OZZ55hyZIlDB8+nHfeeYesrCyjyxLirkqVKsWcOXMY\nNmwYrVq1IiEhweiShAtr1qwZP/zwA8uXL2fjxo2UL1+exo0bExkZSWpqqtHlCSGchBnGExXEKcYa\nnT17lkcffZTffvuNatWq4ePjI3PUFpJJxsmZOrcbNmygf//+PPvss4wZMwZ3d9nXLgqTZBYcOLeN\nGzfml19+AeTiTfYiuRVmJGOSTahSpUqsXr2azMxMNm3aRHx8PDExMUaXJcRdtW3blu3btxMfH88j\njzzC5cuXjS5JuLjAwEBAO+KRlpbG1atXDa5ICOEMpJHsIDw9PWnUqBEApUuXZtKkSQZXJMS9ValS\nhcTERKpWrUr16tUJDw+XQ93CMDlTxx09epTy5cvTokWL3IuSCCFEYZnhUElBnOowSmpqKk899RSe\nnp6kpqby448/ytWmrGSSQ4BOldvQ0NDcWVrkULf1TJJZMFFup0+fzptvvsnXX39Nnz59jC7HKUlu\nhRnJZamdQEZGBlFRUXh7ezNnzhwZ82kFk2y4nSq3kZGRxMfH4+Xlxd69e6ldu7bRJZmKSTILJsvt\n1q1biY6O5rHHHmPs2LEUK1bM6JKciuRWmJE0kp3EjRs36N69O02aNOHTTz+VizhYyCQbbqfKbWpq\nKjExMQQFBZGYmMiaNWsoW7as0WWZhkkyCybM7dmzZ+nfvz8lS5bku+++w9/f3+iSnIbkVpiRNJKd\nyOXLl+nQoQP9+vXjrbfeMrocUzDJhtspc6uUYvjw4Rw8eJDly5fLFdEsZJLMgklzm5GRwejRo/nh\nhx+Ii4ujcePGRpfkFCS3woykkexkzpw5Q9u2bRk5ciTPPvus0eU4PJNsuJ02t5mZmQwaNIj09HQW\nLFiAh4eH0SU5PJNkFkye23nz5vH8888zadIkhgwZYnQ5pie5FWYkjWQndOzYMdq3b8/EiRPp37+/\n0eU4NJNsuJ06t7du3aJ3795Ur16dr776SoYK3YdJMgtOkNs9e/YQFRVFREQEEydOlBOji0ByK8xI\n5kl2QjVr1mT58uW88MILrFy50uhyhCiQl5cXcXFx7NmzhzFjxhhdjhC5GjZsyPbt23Mv3NSmTRuZ\nulAIcU9m2AssiEvtIW7cuJFHHnmEJUuW0LJlS6PLcUgm6d1widxeuHCB9u3bM2zYMEaOHGl0OQ7L\nJJkFJ8ptVlYWQUFBnDp1CpCpCwtDcivMSHqSnVibNm2YNWsWDz/8ML/++qvR5QhRoPLly7NixQom\nT57M7NmzjS5HiFzu7u40aNAAAG9vbz777DODKxJCOCIz7AUWxCX3EL/77jtef/111q9fT1BQkNHl\nOBST9G64VG4PHDhAp06dmDZtmlzY4S5MkllwstzmXLzp1q1bFC9enPnz58tcylaQ3AozkhP3XMTk\nyZOZMmUKGzZsoEKFCkaX4zBMsuF2udzu2LGDyMhIvv/+e9q3b290OQ7FJJkFJ83trVu36NmzJ7Vq\n1WLq1KlyoqmFJLfCjGS4hYt44YUXePTRR4mIiODPP/80uhwhChQWFsa8efOIjo5m165dRpcjRC4v\nLy8WL17Mzp07efPNN40uRwjhQKSRbGL/+te/uHbtGtWrV6dHjx5yhrZwaA899BBffvklPXv25MiR\nI0aXI0Qub29v4uPjWbRoEZMmTTK6HCGEg5CZ/k3Mzc2NihUrcuDAAVasWEFMTIycoS0cWlRUFBcv\nXqRp06Y0aNAAPz8/YmNj8fX1Nbo04eLKly/PypUradu2LeXKlWPo0KFGlySEMJj0JJtc6dKlAe2Q\nYbt27QyuRoj7e+qppyhfvjxbtmwhPj6emJgYo0sSAoDq1auzYsUKRo0axdKlS40uRwhhMGkkm1xs\nbCzR0dGsX7+ecePGsXnzZqNLEuK+HnjgAQD8/PyYNm2awdUI8Ze6deuyZMkShg0bxvr1640uRwhh\nIDOcmVoQOWs1j59++olnnnmGbdu2UaVKFaPLMYRJzrh2+dympqYybNgwfvvtN/r378/o0aONLskw\nJsksuFhuV69ezeDBg1m5ciWNGzc2uhyHI7kVZiRTwLm48ePHs3TpUpKSkihRooTR5didSTbcktts\np06dokWLFsyYMYMePXoYXY4hTJJZcMHcLly4kJdeeol169ZRq1Yto8txKJJbYUbSSHZxSikeffRR\nypYty9dff+1yc36aZMMtuc1j48aNREVFsWHDBkJCQowux+5Mkllw0dxOmzaNjz76iA0bNhAQEGB0\nOQ5DcivMSOZJdnFubm588803bN++nSlTphhdjhD31aZNG8aNG0ffvn1lzm/hcJ5++mmefPJJmWZT\nCBdkhr3Agsge4j0cO3aM1q1bM2/ePDp27Gh0OXZjkt4Nye1dPPvssyQnJ7N48WLc3V1n/90kmQUX\nzq1Sipdffpl58+YREhKCt7e3y09dKLkVZiTDLUSu1atX8/e//50tW7YQFBRkdDl2YZINt+T2LtLS\n0ujcuTOdO3dm7NixRpdjNybJLLh4brOysggICODcuXMAREdHu/S89JJbYUZ6DLd4j/wXHfEBZllV\nlTBEly5dGDVqFA8//DDXr183uhwhClS8eHG+//57Zs6cyeLFi40uR4h83N3dadKkCQCBgYFMnz7d\n4IqEEHqzpJFcDNgGNAa6Zd/+n55FCdt56aWXaNCgAcOGDUP2poWjq1SpEnFxccTExLBv3z6jyxEi\nn/nz59OrVy+ysrJkDmUhXIClXc5dgKVACtABOKxbRdaRwygWuHHjBu3btyc6OppRo0YZXY6uTHII\nUHJ7H3PmzOHdd99l27Zt+Pv7G12OrkySWZDc5tqyZQt9+vRh3bp1uRfGcTWSW2FGeoxJ7gB8CXwL\nNAR8gX8ApwtRn61J+C108uRJWrRowcyZM516PlqTbLgltxZ45ZVX2LdvH8uWLcPDw+P+LzApk2QW\nJLf5zJw5kw8//JCtW7e65Al8klthRnqMSf4Y+BswARgIfAWssfD9ZwJngT0FPGcyWs/0bqBpnsd7\nAAeyf+e6l+OykWrVqjF//nyGDh3K4cOOciDAIUlmHcRHH31EVlYWY8aMMboUM5Dc2tmTTz5Jt27d\nGDx4MJmZmUaXY1aSW2F6d+vCKWfha9uhhfpeX4BIYHn27RbAluzbxYAjQDDgCewC6t7l9UpY58sv\nv1T16tVTf/75p9Gl6AIoapeB3pmV3FrhwoULqkaNGuq7774zuhTd2CCzkluDpKWlqY4dO6rXX3/d\n6FLsTnIrzMja3FrSk1wL+D8g5yyaRsCzFr7/erRxzPfSB5idfXsr2lCOykA42hfgOJAOzAP6WrhO\nUYBnnnmGtm3b0rBhQzp06EBkZKRMkJ+fZNaBlCtXjh9++IEXX3yRnTt3Gl2OI5PcGsDT05MFCxYQ\nGxvr0tPBFYHkVjg0SxrJXwFjgLTs+3vQhl3YQiBwMs/9U9mPVbnH48IGPvvsM1JSUli3bh3x8fHE\nxMQYXZKZSGbtrFGjRnz55Zc88sgjuXPUCqtJbnVSoUIFFi9ezHPPPcfu3buNLsfZSG6FoSxpJJdC\n24PLodD23GylSAP/3dzc7ljudSGCsWPHyvPd3JgwYQLNmzcHoHr16rnzfZql/rzPT0pKYuzYsYwd\nO9aeVxYs8skqRv/dzPb86Ohobt26RUhICN27d8939MMM9ed9ft7M2vmiKZJbnZ7ftGlT2rdvT5Mm\nTRyiHj2eL7mV55vx+fbIbTxQG/g5+/7fsh+zVDD3Hm80FRiQ5/4BoBLQEkjI8/jr3H1gvtHDW0wr\nJSVFRUREqEqVKqkff/zR6HJsBtuMkwtGv8yC5LZQ2rdvn/Pvq6Kjo40ux2awTWZBcmu4UaNGqYce\nekilp6cbXYruMFFuIyIiVEpKitF/MuEA0GFM8ghgGvAAkAy8jOVjku9nCTA0+3ZLIBXtTNcdQAja\nl6c40D/7ucJGfH19Wb58OUuWLGHYsGFs377d6JLMQjJrkNKlS+f+rF69usHVmI7k1g4mTJiAp6cn\nr776qtGlOAub5DY+Pp5mzZrxySef8NNPP3Ho0CHS0215QFw4K0smHz0KdAZKozWqr1jx/nPR5lku\njzZ+6B20M1FBa3gvRzt79QhwDXgi+3cZaI3zFWhnsc4A9luxXmGh8PBwZsyYQd++fdmwYQM1a9Y0\nuiSjSWYdVGxsLDExMUyYMIGIiAjq1KnDU089ZXRZjkJy6wCKFSvG3LlzCQ8Pp2nTpgwdOvT+L3Jt\ndsltaGgo//jHPzhx4gSrVq3i4MGDJCcnExQURGhoKHXq1CE0NJTQ0FC++uorTp06RenSpYmNjXXJ\nObDFXwoa6zMyz+27dU9/YuNaCiO791wU1ZQpU/jss8/YuHEj5cpZOsOf43FzM8UE95LbIjp8+DDt\n2rXjm2++ISIiwuhyisQkmQXJrcX27dtHx44dWbZsGeHh4UaXowsz5TYlJeWOxu7Nmzc5duwYhw4d\n4uDBgxw6dIhDhw6xZcsWMjIyAGjdujXLly/Hx8fHiLqFDqzNbUFPHIvWOK4DNEc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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Within-modality interactions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nk = 2\n", "alpha = 1.\n", "\n", "theta = 6.0*np.ones((2,))\n", "sigmaOffset = np.arange(4)*sigma\n", "\n", "R = np.zeros((len(c), len(c), len(sigmaOffset)))\n", "xi, yi = 5, 5\n", "di, dj = 4, 4\n", "\n", "for i, c1a in enumerate(c):\n", " for j, c1b in enumerate(c):\n", " for k, dsigma in enumerate(sigmaOffset):\n", " uniPopR1 = np.sqrt(computeUniPopResp(thetaHat, theta, c1a) + \n", " computeUniPopResp(thetaHat, theta + np.array([dsigma,0]), c1b))\n", " uniPopR = [uniPopR1, np.zeros(np.shape(uniPopR1))] \n", " multiPopR = normalizePopResp(computeMultiPopResp(uniPopR, D), nk, alpha)\n", " R[i, j, k] = multiPopR[xi,yi,di,dj]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "fig5 = plt.figure(figsize=(10,6))\n", "for k, dsigma in enumerate(sigmaOffset):\n", " plt.subplot(2,len(sigmaOffset),k+1)\n", " plt.plot(np.diag(R[1:,1:,k]),'k.-')\n", " plt.plot(R[0,1:,k],'r.--')\n", " plt.plot(R[1:,0,k],'r.-')\n", " plt.ylim(0,120)\n", " plt.title(r'Offset = ' + str(k) + '$\\sigma$')\n", " if k == 0:\n", " plt.ylabel('Firing rate')\n", " \n", " plt.subplot(2,len(sigmaOffset),k+1+len(sigmaOffset))\n", " plt.plot([0,10],[1,1],'k--')\n", " plt.plot(np.diag(R[1:,1:,k])/(R[0,1:,k]+R[1:,0,k]), 'k.-')\n", " plt.ylim(0.25,2.0)\n", " plt.yscale('log')\n", " plt.yticks([0.25,0.5,1,2])\n", " plt.gca().get_yaxis().set_major_formatter(matplotlib.ticker.ScalarFormatter())\n", "\n", " if k == 0:\n", " plt.ylabel('Additivity Index')\n", " plt.xlabel('Log intensity: input 1a, 1b')\n", "\n", "plt.tight_layout()\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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q1a1uDeCfxURmYU571MXM7djOxYv1/NlBVl7y5ptvUqZMGR599FHXN1q0CA4c\nMBeRKGUXo0dz9vRpmkycyF333MPrr7/OZQEwuqFUnp54Arp3D5gOslL5SkmBXr1M1asA6SB7wtOj\nwFaYsizFuDgJ+kuvtMg9eoRYQOvXr6dDhw6sXbuWq666yrWNTp82oxoffAC33urbBrrJJqMbmlsr\nbNtGSosWtClWjEfefpu+ffta3SLANpkFza01vv8ehgwxi4ZcfrnVrblAc6vy9OKLsGkT/PijX6uw\n5Mcf0y2+wkyx+ANIz3T/4x7sq6A0/AVw/vx5oqKieOaZZ+jdu7frG/bvb1bX+/xz3zXOQzb54tbc\n+ltaGkdr1+btY8foMmNGQJWAsklmQXPrf0ePwvXXm47yjTda3ZosNLcqVytXwm23wR9/QERE/s/3\nI39Mt2gG1Me/ZYuUD7zyyitcffXV9OrVy/WNZs0yE/A3bPBdw5TyIofDwbz27bniyBEeWreOOtdd\nZ3WTlMqfCDz8MPTpE3AdZKVydfasmWbx4YcB10H2hCed5E2YmoSHvNwW5UcrVqzgiy++YP369RlH\nVvk7dAji4uCrr6BsWd82UCkvSE9P57bq1Rl3+DCPt2rF/1XSRbmUTUycCLt2mVUhlbKLF14wS6bf\ndZfVLfEKT65YCQe2APMwq+/NwNRKVjZx/vx5YmJiqFChAn379uXEiZyq5uSgRg04cgTuvtuswa5U\ngHvuqaf48tAhjonQa9kynurTx+omKZW/Bx6ABx80gxHnzlndGqVc07Ur/N//mWlCrvYrApwnI8nD\nvN0I5V9vvfUWxYsXZ8uWLWzZsoX+/fvnv3DCe++ZouAAx45B69awf7/vG6uUhz766CMqxsdTvGhR\n6qWnUw/oEEAXkCiVq3nzzPftsmXmGpDgXNhGBZPUVPjlF1PV4uefgya3dv8/hk7Id9Pu3btp3rw5\nDRs2ZNGiRURGRjJ//nxCQ0Nz3ygpCSpUMIXAz52D0qVhyxYzshxgbHIxiebWx+bMmcMLvXqxOi0N\nR926FF+xgrQmTSj2yy+QV9YtYJPMgubWP379Fbp0geRkU4t+/vyAyyxoblU277xjFg45fjyocuvO\ndItlzn/PAKez/ZxyYz/KQk888QSDBg3ixx9/JDY2Nv8OMpjpFWXKwObNUK1awHaQlQLYtGkTvXr1\nYn6jRhR97DGKz5oFsbEB2UFWKouUFBgwAD77DGJjA7ajoVQWBw6YDvLcuUGXWzscBeZFjxDdMH36\ndJ5//nmgnJd6AAAgAElEQVQ2bNhASEiIaxutXGmurJ4/3xaF7G0yuqG59ZEjR47QokULPr/vPm6Z\nMsUc2Fm4ml6++venyKefQuBnFjS3vjdqFCxeDD/9FFC1ZXNik+9a0Nz63t13Q9268OqrVrckX74u\nAVcMU92irpvbKYudPXuWJ554gs8//9z1DjLAyJGmnIsNOsiqcDt37hy33XYbD/XsyS3x8TB6dOB1\nkJOTTY3xjEUhduywtj0qcOzbZ1YnW7ky4DvIffQCWJVh3jxYvRomTLC6JT7hbic5DbMMdQ1AyxvY\nyBtvvMGNN97ILe50dufMMfWQN23yXcOU8gKHw0Hv3r2pVasWL5YoYUY1una1ulkXbd0Kn35qynp9\n+CHcc4+5P9A68co6Tz1llp+uVcvqlmRx/vx5NmzYwO+//86qVav4/fff2bZtm9XNUoHg/HkYONAM\nSJQqZXVrfMKT6hblgc3A70CS8z4BunmrUcq7tm/fzieffMIGdxYASU424f/gg6ANvwoeQ4cO5eDB\ng/zyxRcUuekmM7JhtXPnYOpUGDsW/vwT+vaF337L2gmaPBnKlbOujSowzJ4NGzeaPFjI4XCwY8cO\nfv/99wud4o0bN1K7dm2aN29Oq1ateOqppxgyZAhz5861tK0qALz1FtSvD7feanVLfMaTczrRudy/\n0PNmeEznGuVDROjUqRNdunTh6aefdn3DV1+Fdevghx981zgfsMk8Oc2tF02YMIFXX32V3377jfCH\nHoKoKHjxRaubBatWwUsvmVJIXbtC8eI5Ps0mmQXNrW+cOwcNG8KYMRAT49eXTk9Pp1u3bmzcuJGk\npCRSU1MJCwsjKiqK5s2bExUVRdOmTbk8Y3qQ04kTJyhnDu40t4XV7t2misXatba6kN/d71s7BDwv\nGv58fPPNNwwfPpw1a9ZQrJiLJw527TIdDZuFH2zT4dDcesmiRYu4++67WbhwIfV27oRnnzVThEqU\n8H9j+vc3c4xLlzYjgi5e3W2TzILm1jeGDTNT2r77zm8vuX37diZMmMDEiRNJTEwkKcmcFO7WrRvT\npk1zaR+a20Kua1do1cqssGcjWgJOXXD69GkGDRrERx995HoH2eGA9u2hTx/bdZBV4fLnn39yzz33\nMHnyZOrVqGHmc44Z4/8O8vHjZoWpHTtg0SJz6rx/f/+2QdnTrl1mjvq77/r8pU6cOMEnn3zCjTfe\nSLt27UhJSWHWrFm0bdsWgMjISCYE6cVXysumTzdTyAYNsrolASUQe0yicvfMM89Inz593NtoyBCR\nkBCR06d90ygfw8yPD3RWv022d/z4caldu7aMHTvW3PHf/4rcfbd/G+FwiEyeLBIRITJunEjnziIg\nEhkpkpjo8m6wR2ZBc+tdDofJzKhRPnuJ1NRUmTVrltxzzz1StmxZueuuu+Snn36S1NTUC89JTEyU\n2NhYSXQjsyKa20IrKUmkRg2RBQusbolH8GFu12b6faqvXsRNVr/fAWvDhg0SHh4uR48edX2jI0dE\nihYVeftt3zXMx7DHF7fVb5OtnT9/Xtq1ayfPPvusuWP7dpEKFUQOHPBfI/buFenSRaRRI5HffjP3\nJSaKxMa61UEWsU1mQXPrXd9/L1K/vsj5817f9aZNm+S5556TypUrS1RUlIwZM0aOHz/u1ddAc1s4\n/ec/Ij16WN0Kj+HD3K7L5XcrWf1+BySHwyGtW7eWjz/+2L0NW7Y0R4g2hj2+uK1+m2zL4XBI7969\npXv37pKWlmZG4zp2FHnnHf81YswY0yl//XWvdHCwR2ZBc+s9Z86IVK8u8uuvXttlWlqatGnTRq64\n4gopUaKEPPnkk7Jlyxav7T87NLeFz7Zt5rvv4EGrW+Ky1NRU2bx5s0yaNEkaN27sdm49KQGnAtyX\nX35JcnIycXFxrm80c6YpYr92bf7PVcoC/fv3Z/78+SQkJLBlyxaKFi0K334Lhw/D44/7ryElSsDS\npaYWs1KeeO01aNMGoqO9srsVK1bw2GOP8ddff3HmzBkADh06RL169byyf6UQgcceM5WDqlSxujU5\nOn36NBs2bGD9+vX88ccf/PHHH2zevJmqVatyww03cOqUby+fS+fihXppeP/CvaKYEeoZztvlgfnA\nDmAekNOl4lYfpASchIQEiYiIkFWrVrm+kcMh0qyZyAMP+K5hfoJ/Rzc8ySxobj3SsGHDjP++Ehsb\nK3LqlEi1aiJLlljdtALB/yNymlsrbd4sEhYmcvhwgXd15MgR6du3r1StWlUmT54sMTExAkhkZKTb\nc4zdhea2cPn6a5HGjUUyzWe30v333y8NGzaU2rVrS7du3eTaa6+V0qVLS/PmzSUuLk7GjBkjy5Yt\nk1OnTl3YpnPnznY6A3KJZ4BJwHTn7TeB552/DwZG5rCNhf+JAtOjjz4qjz76qHsbTZ4scv31ARP+\ngsC/HwBPMguaW7ft3btXQkJCsnYABg0S6d3b6qYVGP7/0tbcWsXhEImOFhk9ukC7SUtLkzFjxkh4\neLgMGjRITp48KSKeX4TnCTS3hcfJkyJVq4osXWppMw4ePCijR4+WNm3aSNGiRS8MmrRo0UI2b96c\n5YLUnCQmJtq2k1wNWAC05+JR4jagkvP3COft7Pz0n8YeVq1aJREREZKQkOD6RidPilSpIrJsme8a\n5kf47wPgaWZBc+uW8+fPS8uWLeWVV1652AHYuFEkPNxcbOoLvXuLVK4s0ry52xfiuQv/fmlrbq00\naZLIDTcUaEBi+fLl0qRJE2nXrp1s3LjRi41zD5rbwuPpp0XcrZTlJQcOHJD3339fWrduLaGhodKz\nZ0+ZPn26dOrUyaOzJti0k/wt0ARox8UPQGKmx4tku53Bh/9p7CUtLU2aN28u48ePd2/Dp54S6dfP\nN42yAP77AHiaWdDcuuWZZ56Rrl27Snp6urnD4RBp00bko49884J//SVSqpQp5wamYoUP4d8vbc2t\nVU6cMAMSK1Z4tPnRo0elX79+UqVKFZk0aZI4HA4vN9A9aG4Lh/XrzYCEO5WyCujAgQPy3nvvyU03\n3STlypWTXr16yYwZMyQ5OfnCc/xVujAQLty7FTiKmWsUnctzcv3Dhg0bduH36Ohoor10IYTdfPrp\np5QoUYJevXq5vtH69TBpEmze7LuG+djChQtZuHChv1+2QJkFza2rfvzxR6ZOncratWu57DLn2kcT\nJ5qlfH2xYMfatWYlqZo1YetWs+zq2LFefQmLMguaW2sNHQpdukDLlm5tlp6eztixY3n55Zfp2bMn\nW7dupWzZsj5qZO40t4WQwwEDBsCrr0J4uE9f6sCBA3z33Xd8++23bNu2jW7duvHCCy/QoUMHSuSw\nQFRoaCjx8fH57tfC3HrNcGA/sBs4DCQBEzGnTiKcz6mMTrfI1dGjRyU8PFw2bNjg+kapqSLXXCPy\n4Ye+a5gF8M/oRkEyC5pbl+zatUvCw8Plt4w6xCJm6kNEhMjvv3v/BefNMyMm33/vcc1jT+C/ETnN\nrVXWrROpWFHk2DG3Nvvtt9+kadOm0rZtW0unVuQEzW3wGzfOTDlLS/PJ7h0Oh8yZM0cqVaokRYsW\nlapVq0p8fLyc90Ht8AzYdLpFhsynUt7ETMYHGIJeuJejuLg4qVSpktSsWdO90w5ly5pTyWFhInv2\n+K6Bfob/PwDuZhY0t/lKTk6WZs2ayXvvvXfxzrg4c7r6qqt803ldscKSuflY86WtufWXhx4SKVNG\npGFDl3Pbp08fiYiIkJCQEPnkk08sn1qREzS3wa1nT5HixUVuvNEn37crV66U9u3bS506daRevXpZ\nKxf5EEHQSc64crU8ZqK+loDLQ6bi2K6Ha+PGi/MtwZTRChJY00l2J7Oguc3XwIED5Y477sjaObjh\nBr/NE/YnrOtsaG794dpr3crt3r175fLLL/dbp8FTaG6DW6VKPvm+3bZtm9x5551StWpVGTt2rKSm\npl4ozRakpQst5dM3M9CdPHlSSpYs6V640tPN6epixUz4S5fWkWT/s/ptCmjffPON1KpVS06cOHHx\nzqQkk1UQiYz0yzQIf8EemQXNrft27jSjcS7mdvny5VK5cmWpW7eu3zoNnkJzG7x++kmkZEmvft8e\nOHBA4uLiJCwsTEaOHClJSUkXHgvy0oWW8vkbGsgeeugh6dWrl3vhiosz4d+wwYwgB1EHWcQ2HwCr\n36aAtWPHDgkPD5c1a9ZkfeCJJ8xohrfmCftojp0nsEdmQXPrnvR0U4XljTdcyu2XX34p4eHhMnPm\nTL92GjyF5jY4HT9uprXNmOGV79uEhAQZPHiwlC9fXp5//nn3StT6APbJrVdY+mZbadasWVKzZs0s\nq8nka/9+00GeMsV3DbMY9vgAWP02BaSzZ8/K9ddfLx9//HHWB375xRSy99aX65EjIlFRAVMbHHtk\nFjS37vnf/0wnOaN0YS7S0tJk8ODBcs0118imTZv81LiCQ3MbnO67zwxKFNDZs2dl1KhREhYWJg89\n9JDs37/fC40rOGxYAk65KSEhgbi4OCZOnEiZMmVc20gEHnwQ/vMf6NHDtw1UygNPPvkk9erV4+GH\nH7545+nT0K+fKcNWrlzBX2TnToiJgfvugxtvLPj+lMrJ1q0wfDj89htklC7MwenTp7n//vs5deoU\nK1euJCwszI+NVCqbqVNh1Sr44w+Pd5GWlsb48eN55ZVXiIqKYsmSJdStW9eLjfQv7STb0BNPPMEd\nd9xB+/btXd9o7FhISIAhQ3zXMKU89NVXX7Fo0SJWr15NkSJFLj4waBB06GDqyxbUypXQvTu88opv\naiwrBZCWBr17w2uvQa1auT5tz549dOvWjZYtW/Ldd98REhLix0Yqlc3RozBwIHz/PZQu7dEuunXr\nxoIFCyhZsiTx8fF06NDBy41U7rJ65N7vpk6dKrVr184y6T1fu3aZUm+bN/uuYQECe5wCtPptCiib\nN2+WsLCwS+t8z54tUqOGWTq9oGbPNp+BGTMKvi8vwx6ZBc2ta954Q6RjR7MyZC6WLFkiERER8v77\n7wdkeTdXoLkNHg6HSPfuIoMHe7R5enq6vPHGG1K8eHGtyhJgrH6//erIkSMSEREhy9yZS5meLtK2\nrchbb/muYQEEe3wArH6bAsaZM2ekfv368vnnn2d9ICHBXFj6888Ff5G4OJFmzXxW77OgsEdmQXOb\nvz/+MAvS7NuX61O++OILCQ8Plzlz5vixYd6H5jZ4TJwo0qCBSKZln111+PBh6dChg7Rp00aio6O1\nKkuAsfr99huHwyF33HGHPP/88+5t2KuXSNOmAXU1vy9hjw+A1W9TQHA4HNKrVy/p3bv3paNpDzwg\n8vjj3nmhdu0Cur4y9sgsaG7zdv68SOPGIuPH5/hwWlqaPPPMM3LttdfK1q1b/dw470NzGxwOHDAH\ndtkrCrlg/vz5UqVKFXnppZckNTU1KKuy6Jxkm5gyZQrbt29n0qRJrm80ezZMnAjz50PRor5rnFIe\nGDduHGvWrGHlypVZ5yH/8IO54KkAF49kkTG/LjLSzM1Xyhdeew1q1IBevS556NSpU9x7770kJyez\ncuVKypcvb0EDlcpGBB56CB57DJo2dXmztLQ0Xn75ZcaPH8+XX37JLbfcAkBoaCjx8fG+aq3ygNUH\nJX5x8OBBCQ8Pl9WrV7u+0blzIpdfHpAjZ76EPUY3rH6bLHfHHXdIsWLFpE2bNllHHY4eNYvdeLM8\nW2Ki9+or+wD2yCxobnO3cqVZoezw4Use6tGjh5QqVUqqV68uR48etaBxvoHm1v7GjjVnmlNSXN5k\n3759ctNNN0mnTp3k77//9mHjfAP75NYrrH6/fc7hcEjnzp3l5Zdfdm/DTp1EypUTSU31SbsCFfb4\nAFj9Nlnq0KFDEhIScukFHg6HyJ13irg7pSi7994TyT7HOYBhj8xCIc9trs6eFalbV+Sbby55aMuW\nLTlnPQigubW33bvNxcxu1OaeNm2aVKxYUUaOHCnp+dT/DlTYJ7deYfX77XOfffaZNGnSRFLcONKT\n774TKVJEZPly3zUsQGGPD4DVb5NlkpKSpHnz5lK7du1LL/CYPFmkfn1zFsRT774rcvXVtlpJEntk\nFgpxbvM0aJDI3XdfcveqVaskIiJCGjduHPAXM3kCza19paeLREeLjBrl0tOTk5PlySeflBo1arhX\nOCAAYZ/ceoXV77dP7d69W8LCwmTjxo2ub3T+vEjNmiIPPui7hgUw7PEBsPptskR6errcdddd8sAD\nD0hCQkLWCzwOHhSpWFHEnSlF2f3vfyLXXCOyd693Guwn2COzUEhzm6fFi0UqVxb5558sd//6668S\nHh4uP/74oy0uZvIEmlv7Gj3aVPtx4YL+nTt3SrNmzaR79+5y/PhxPzTOt7BPbr3C6vfbZ9LT06V9\n+/YycuRI9zZ86SWRLl3yrNEZzLDHB8Dqt8kSL774otx0002SnL3MkMNhMjt0qOc7f+cdW3aQRWyT\nWSikuc3V6dMmc9OmZbl7+vTpEh4eLr/88otFDfMPNLf2tH27SIUKIjt25PvUKVOmSFhYmIwePdq2\n9byzwz659Qqr32+f+eCDD6Rly5aS5k7ptlWrTCmXgwd917AAhz0+AFa/TX735ZdfytVXX53zhUuf\nfy7SpIk5C+KJxESRm26yZQdZxDaZhUKY2zwNGCDSu3eWu7766iupVKmSrFy50po2+RGaW/tJSzMj\nyKNH5/m0lJQUqV+/vpQsWVJatWoVVGdBsE9uvcLq99snduzYIRUqVJDt27e7vtG5cyL16pl5nYUY\n9vgAWP02+dWSJUskPDxcNue04uOePebikeyr7bnLxqMc2COzUMhym6d580SuuipLxZQxY8ZItWrV\nZJMbF0LZGZpb+xk1SqR9ezMnORcJCQlyyy23SLly5fSCU+Ayn0RSeSw9PZ3evXszdOhQ6tSp4/qG\nL70E9etDjx6+a5xSbvrrr7+IjY1l4sSJ1K9fP+uDDgf06weDBkGjRgV7ocx1lpXypZMn4cEH4bPP\nIDQUEWH48OG88847LFq0iAYNGljdQqUutWkTvPUWfPEFXJZz12/79u20aNGC66+/nhYtWgAQGRnJ\nWK0vb1tWH5R43ahRoyQ6Otq98ioffSQSGmpqzBZy2GN0w+q3yS8SExOlXr16MmbMmJyf8MEHIi1b\nFroyhdlhj8xCIcltvvr0EXnkERExJTqfffZZadiwoRw6dMjihvkXmlv7SEkxU9o+/TTXp8ybN08q\nVqwon332mYiIXnDqpCPJAeTOO+/kxRdfREQ4deqUaxvVqgUDBsD583D2rG8bqJSLUlNTufvuu+nY\nsSMDBgy49Al33w1PPw0hIXDmjHs7X7XKO41Uyl0dO8KUKbBrF+nHj9O/f38WL17MokWLqFy5stWt\nUypnUVGwZw9MnQonTlzy8JgxY+jZsyfffvstDz74IHBx9bzQ0FA/N1Z5k9UHJV6za9cu94vO//OP\niFlY0vxUq+b7hgY47DG6YfXb5FMOh0MeeeQR6dy5s6TmNEq8b59ISMjF3Lo63y0uztRALl1a5MAB\n7zbaQtgjsxDkuc3XkiUixYpdyO2yatXk5ptvllOnTlndMkugubWHsWNFSpTI8fs2JSVFHn30UWnQ\noIH89ddfFjbSf7DhSPJVwK/AZmAT8ITz/vLAfGAHMA8I2sOZQ4cO0bFjR2rXrg24OAfozBkzBzlj\nblHp0rB0qY9bqjIp9LnNzejRo1m6dClff/01xYoVy/rg0aNmNO6aa8ztyEhwZb6bCMyZA7t3mzMm\nTz/t/YYXDppbT/zxB9x5JzRpAsD2smUZ07gxM2fOpEyZMhY3LuhpZj0VHw/DhoFzfnHm79uEhARi\nYmLYt28fy5cv5+qrr7aunSpPEcANzt+vALYD9YA3geed9w8GRuawrdUHJQV27NgxadCggQwfPtz1\nOUBpaSK1aolUqiSyZYsZQbbRCmO+hP9GNwp1bnPz008/SeXKlWX37t2XPnjihJkX99//mqoAsbFZ\nqgPkKiVFpFcvkSuvNCMhkZGubWcT+HdETnPrru3bzYIh330nj/ToIVOLFZO6ERHyT7YFRAob7PFd\nC4U1t7NnmwWa1q+/5Pt269atcu2118qgQYPcKzMbBLDPGZBc/Qh0ALYBlZz3RThvZ2f1+10gp06d\nkqioKHnuuedcL9TtcIg8/LBIVFRQdRS8Bes+AIUmt7lZv369hIWFyfKclkNPShJp00Zk4ED3y7U9\n+KDIrbea+t+udqxtBGu/tAt9bvO0b59IjRoin38uu3btklKlSgVlWSxPYI/vWiiMuV2yxKyZkMN3\n8dy5c6VixYryxRdfWNAw62HzTnJNYC9QBkjMdH+RbLczWP1+e+zcuXNy8803S1xcnHsr2QwZYkbS\nCuk8uPxgzQegJoUkt7k5fPiw1KhRQybnVKf7/Hmzot4DD+RZnzNX+/cHdQUMrPvSrkkhz22ejhwR\nue46kXfekcWLF0tERITUq1dPAImMjAy6q/7dhT2+a6Gw5XbdOjOCPG9elrsdDoe8//77EhERIUuW\nLLGocdbDzdwWy/8pfnMFMBV4Ejid7bFc/7Bhw4Zd+D06Opro6GjftM6L0tLSuPfeewkLC+Pjjz+m\niKs1Xt98E6ZPh0WLQOfBAbBw4UIWLlxoZRMKTW5zc+7cObp3707fvn259957sz6Yng69e0PRonnW\n58xTtWreaWiACIDMguY2bydPQkwMxMYyrlw5Bt95J1999RVRUVH079+fsWPHFrqr/gMgtx5lFgpR\nbnfsgC5d4KOPzLUfTqmpqQwcOJDly5cXuvnHAZBbrygOzAWeynTfNswpFIDKBMnpv/T0dOnVq5fE\nxMTIeXeW4f3kE5GaNYPqqn5fwL+jG4Umt7k5deqUVKtWTcLDwyUmJibr6FrG1KDoaLMipMoR/h+R\nK/S5zZNzalD6Y4/Js4MGybXXXitbt261ulUBB3t810JhyW2mqUGZHTx4UCIiIqR8+fLSsWNHPQNi\nw+oWRYDPgS3Ae5nunw70dv7eGzMPydZEhKeffppdu3YxdepUQkJCXNvwqadg8GCYPx+qVvVtI5Wr\nCk1uc3PgwAHatGlDWloa//zzD3PmzKF///4Xn/Dii7BmjTn7UbKkazvdssVUslC+Uuhzm6fUVIiN\nJbVKFW7fu5fVa9bw22+/UbduXatbVphpZvPzzz9m5PiJJ8wqpk5z5syhWbNmlCxZkoSEBObPn5/1\nO1rZQmvAAfwBrHP+xGDKuywg7/IuVh+UuGXYsGFyww03uHck99prIkWKiHz7re8aFkTw3+hGoclt\nTtauXSvVqlWTUaNGSUxMzKXzNN98U6R+fVPL21Wffmoqthw86JtGByj8OyJXqHObp7Q0kXvvlaRb\nbpEmDRtKXFyce2f7Chns8V0LwZ7bEydEmjY1VYOcUlJSZMiQIVKtWjVZuHChdO7cWefSO2HzC/fc\nZfX77bL33ntPateuLX///bfrG40ZYzrIn3ziu4YFGezxAbD6bSqQGTNmSFhYmHzrPHC7pHTh2LHu\nTQ1yOEReecUsFLJ9u49aHbiwR2bB5rnNk8Mh8sgjcqJJE6lRqZK8++677l1QXQihubXe2bMibduK\nPPbYhapB+/btk1atWklMTIwcPXpURIJ3iWlPYJ/ceoXV77dLxo8fL1dddZXscaeW8ddfmw7yiBG+\na1gQwh4fAKvfJo998MEHEhERIStWrMj5Cd98I1Klisiff7q2w9RUkf79Tf3kw4e911AbwR6ZBRvn\nNl8vvCD/XH21XF2hgsyaNcvq1tgCmltrpaSI/PvfIvfff6Fq0IwZM6RSpUoyatQoSfekklAhgH1y\n6xVWv9/5+uGHHyQiIsK9Cz+2bjXLnz77rO8aFqSwxwfA6rfJbWlpafLUU09J3bp1c1++NHPxelc9\n+aRIx46FuqQh9sgs2DC3rkgfNUqOVKggzWrUkE2bNlndHNtAc2sd59Qg6dpVJCVFzp8/L88884xU\nr15dli1bZnXrAho2LgEXdH7++Wf69+/P7NmzXb/wY/9+U3po9Gh49FHfNlApFyQlJXHfffdx+vRp\nli9fTrly5S590tKl0KsXTJsGjRvnv9P+/U25ossug6+/1pKGyhLJH3zAyVdeYUDDhsyZOZOwsDCr\nm6RU3kRg4EA4dAhmz2b3gQP06NGDSpUqsW7dOsqXL291C4NKIFS3CErdunUjJiaGa665hlq1arm2\nUe3aUKMGHDtmah0qZbHDhw/Trl07ypcvz5w5c3LuIN9+O7RvDzVrQr16ru14xw5T7/vXX80XvlJ+\ntqlSJYo88QR/paXxf199pR1kFfgcDmjSBL76CooXZ8Z339GiRQt69OjBtGnTtIOsLmH1yP0lzp8/\nLy+99JIUK1bM9eVLHQ6RyZNFzDGi+alWzT8NDjLY4xSg1W+TSzZs2CDVq1eX119/PeeLmFJSRF5/\n3UwNysitq0v1du5snh8ZGXTLTLsLe2QWbJLb/KQfPy5bb7pJzmb6vl2m37duQ3PrX3/9JdK+vUiZ\nMhdy+1Pp0rJy5UqrW2Yr2LBOctBYu3YtkZGR/PHHH7Rp0waAyMhIxo4dm/tGmzZB06bw+uuQsYJT\n6dLm9LVSFpk7dy633HILI0eO5MUXX7x0VchNm6BlS1iyBFq3NvdFRkJOWXc4YMwYePjhi/dNngyx\nsab2dyFbuUxZZ+eHH3K0cmW27NzJxiuvBGBz6dI00O9bFagcDrOCXlQUdOlC0g03APBnaCitt2wh\nKirK4gaqQGb1QYmImNHjoUOHSnh4uHz55ZficDjyL7mSni4ycKCpYHHjjWZFsj17zAiyO1UwVBbY\nY3TD6rcpT5988olUqlRJlixZcumDqalm9DgsTOSzz8xZkMREM4KcU9a3bRNp3VqkVSuRLVt833gb\nwh6ZhQDPbV4S9+yR5fXqyd7LLpNZgwZJenq6nNizR5ZVqyYn9PvWI2hufS9j9LhlSzmzerUMGzZM\nKrozePYAACAASURBVIaEyMzLL5c7b7lFS7p5APvk1iusfr9l7dq10rhxY7n11lvloKuLIGzcaMpk\nlSghMn68bxtYyGCPD4DVb1OOTpw4IQ0aNJCSJUtK27ZtL/0C3rhRpFkzkU6dzBKoeUlJERk+XKRC\nBZHRoy+UKFKXwh6ZhQDNbV4cDocseO45OXDZZbKwXj05tnu31U0KfBkDNrnVOZ8yRSQ0VHPrS+np\nIh99JBIWJmkjRshHztKb999/v0RFRbk+lVNdAvvk1isse6Mzjx5PmDDBtcLzDofIq6+KXHaZSMuW\nhX4upi9gjw+A1W9TFufOnZP//e9/UrFiRalUqdKlX8CZR48//fRC0fo8vfOO6UxrpyRf2COzEGC5\nzc/W336TnyIi5GBIiGz54AOrmxO4/vUvkbJlRUqXNvNdQ0LMGc1XX835+YcOiTRrprn1FefosaNF\nC5n9v//JtddeK506dZK1a9eKiOjqeQWEfXLrFZa8yevWrZPrr79e/v3vf7s+evz33yJ33CFSt67I\nuHE+bV9hhj0+AFa/TSJiah+PHz9eqlevLl27dpWNGzde+gWcefR4717Xd56S4lpnWtklsxAguc3P\n6dOn5bPYWNl/2WWyoXVrSStsHQmHQ+ToUZFly0QmTDDLFd9zT5Zli7No2fLihbfdu7v2uXV+T1gd\nSBd59/31lUyjxzsfflhaNm8uTZs2lfnz52d5mq6eVzDYJ7de4dc31+PR4ylTzCILQ4aYU1nKZ7DH\nB8DS98jhcMiMGTOkYcOG0qpVqyxzjy98Af/zj8gbb7g3eqw8gj0yCwHe2XA4HDLtyy9l8uWXy9HL\nL5fj8fFWN8n/4uJEGjcWKV5cpGlTsxrbyy+LfPWVOeDNiSeVZhITNbfetHu3yM03S1KjRvJw27Zy\n9dVXy+TJk3XVPB/APrn1Cr+9sR6NHh8+bEaP69UT0TItfoE9PgCWvT/Lli2T1q1bS4MGDWTatGk5\nH+hljB537Jj36LHDIbJ8uVn1qV078z9bHd1wG/bILARwZ+Puu++WO6+4QvYVKSJ7YmKCcwXHc+fM\n/0c+/ljkoYfMimvZtWvnfjnGvC68zQOa24Jzjh6nlS8vXzdrJpXDw+X999+X5ORkq1sWtLBPbr3C\n52/o3r175frrr5dixYpJo0aNJCEhwZWNLtYyLFXKXOGv/AJ7fAD8/r5s2rRJunXrJtWrV5dx48ZJ\nWlrapU86cECkSRNT97hhQ5Hcsn7ypMiYMWbE6tprzUGgu/9jVhdgj8xCgHU2UlNTZfr06fLELbfI\nNpBzIL+B9L7tNqubVnBxcRcPPPfsMZ+1UqVErr9epF8/kQ8/zHngxY/1x9Hces7hELn1VkkvW1bO\nhoRIh7Jl5b///a+cPHnS6pYFPeyTW6/wyZuYlJQkX331lXTo0EHKly8vlStXzv9q0tRUkVGjRGrW\nzLooiC4M4lfY4wPgt/dj37590rdvXwkPD5e3335bzmWf7nPunMjXX5uLd8qVE4mIyL3Dm5hoRrBC\nQ81jCxaYkRBdGKRAsEdmIUA6G5s3b5aXHntMBpctK1suv1zOhIbK3yVKXMjt+e7drW6i+/btE4mP\nF8k4eM0+IrxqlWtT9TwcFfYEmlv37dkj6S+/LGerVMmymM3JmBirW1ZoYJ/ceoXX3jiHwyHLli2T\nuLg4KVeunMTExMjXX38t586dy/tq0j//NBdElCxpjvTvuMPUgw0LMx+A0qW17rEfYY8PgE/fA4fD\nIbfffrtUrVpVihcvLs8884ycOHEi8xPMKNQjj4iULy/SoYOZs5iUlHeHNy3NVK04fDjr/X78H3Mw\nwh6ZBQs7G4mJifJ/H34oT9apI9NKlpRzISFysnNnkdmzRdLSJKVDBxGQ1CZN7JHD3383n6W77hKp\nWlUkPFykWzeRf/4xj9vgwBPNrWuSkiR9/HhJbNpUzpQsKeNKl5b76tSRX0qWFAFZGSxnP2wC++TW\nKwr8hh04cECGDx8uderUkTp16siIESPkQLb6kJdcTXrqlMjnn4u0aWO+3J58UmTRoqw71oVBLIE9\nPgBe/7vPnTsns2bNkkcffVSqVasmJUuWvPTsx6FDIm++KVK/vkitWiKvvXbpnOOMDu/x415vo8oZ\n9sgs+LmzkZaWJvPmzZNBXbrIuyEhcrxkSUmsU0fSPvjg0qlAgXyglnnqREb7HnlEZMAAkYkTRXbu\nvPTC2ED+e5zQ3ObO4ZD0xYvl765dJalECfm5RAkZdNVVMnzoUNm+fbuIiNzVoYN8DRJ9ww1aqcKP\nsE9uvcKjN+ncuXMyZcoU+de//iXlypWTuLg4Wb58ed7VKlJTzZF/27YiV15pjvp/+EHk/HkP/1Mp\nX8AeHwCv/K1HjhyRL774Qm6//XYpW7astG7dWt58803ZunWrxMTECCA3Nm0qZ8aPF+nSxUyT6NdP\nZPHiS/+n7HBcXB2vTBnTkdYvbr/AHpkFP3Q24uLiJCoqSm6oWVOeDw2VDaVLy5myZeXswIEimzb5\n/PULxOEwNW6//dZUMurYUWTaNM8uprMBNLeXcOzdK/seeUSOhobKn8WKydvh4fL2M8/IlhxWG9VS\nbtbAPrn1CpfelPT0dNm6datER0dLRESEFC9eXNq1ayeTJk2SpKSk3DYy88D+8x8zlSLjS+7WW03N\nYxWQsMcHwKO/zeFwyMaNG2X48OFy4403ypVXXil33XWXTJgwQf7JOE2bni6yY4ektGkjx0uWFEfx\n4iI33WTqpZ4+felOM6pTVKggUqOGOTMShP9DD2TYI7PgozMgK1askNHvvCMvdO4si4sUkb9BUkCW\nhoWJ/PSTGaAIdO+/b6YuValiPk/DhonMmGHOyNhg6oQnKMS5vSApSU7MmiWbQ0MlsUgROQ8SX6aM\nfNK3r2zcsMF3r6s8hpu5LeKjUPqL82++yOFw8Oeff7JmzRrWrFnD6tWrWbduHWFhYZw+fZpjx44B\nEBsbS3x8/MUNDx2C1athzRrz8/vvcOwYVKgACQngcJjnVasG+/f76+9TbipSpAgEfq4vyW1Ozp49\ny/bt2xk0aBDbt28nMTGRChUq0L17d7p27Uq7Nm0oceDAxcyuXg3r1kFoKJw5A8ePmx3FxsIXX8AV\nV1z6Ijt2wPr1/H97dx4eRZmvffwbQiAGSFgSwhYStmETwyaYoBIcQOUgioiOCx6BEWeOyijgK3oc\nQTmKy7gxLiOKEQdBRBFFWQcJCigoq+yLsgiyCIksAglJvX88ndBpktCddHV3JffnuupKdaW66ulw\nd/PrqqeeIjUVGjaEPn1g7lzo3BkWLjTbEls5JLPgZW6Lk5eXx44dO1i5bBl7588nZ8UK4vfuJbVq\nVf6Qnc3vcXFYhw9T++xZALJvuIEqn3zir7aXTm6u+bzfvt1Mn30Gp09DVBRMnXru/fHzz1C5MtSr\nd/42srJg2DCYOLFcvZ8qSm4LNnLyJAfmz+fQnDnkff89tX78kfgTJ9gSFka9vDzqu9Zb3qgRqaoR\nQpaDcuuVa4AtwHbg4SJ+b23dutWaOnWqNWLECKt79+5WdHS0lZSUZA0YMMAaP368tWDBAuvXX3+1\nLOvc7Rxvbd3a+n3kSHMaLD7eXNEfG2uu8H/0UcuaOdP01cwfyDs21locoIvwFi9ebOv2g7GvQL4m\nQuPoxgVz6y4zM9Navny5NWnSJGvkyJFWnz59rCZNmliRkZFW27ZtrdjYWAuwmoH14mWXWdZDD1lW\njx6m20/jxpbVv7+58ce8eeaiOteFo4vB3FSgYUNzNNkbpewLWR6zFKh9ERqZBR9zW5IzZ85Yf/rT\nn6zktm2tPo0aWc+2amW9VbWqtbpKFetUeLj1a9261sFevazTzz5ruv+4xjXO7tnTWhzAC/CK/Tee\nP98MbRgZad4/aWmmb3HbtqU606Lc2spvuc2Xc+yYtWPKFGvFoEHWijZtrB3VqlknwVpXubI1JyHB\n+uTaa62Fzzxj7di40crNzbVWuj5vN0RFWVkBuA5Jn7elh4+5reyHgNolHHgV6AnsA74DPgM2u6+U\nnJxMr169SElJ4dHRo+ncsCG1AQ4dgn37zBG2zz6D/fv5Yv5886TNmwnbvx/atoVBg+Duu6FFCwgr\n5svF99+T0a4daT/8AImJdr1eADIyMkhLS7N1H4HeVyBfUwjwKreJiYkkJiayY8cOjh87Rtfmzema\nkMCldepwe5MmJDRrRu3Tp6n0yy/8tm0bUUBeWBiVLroIfv8devaE6dMhLq7w3g8cgOuvh+xsMoC0\nnBxo1w6++MK71tesCe5nWLxUHrOk3J6fWzBHhA8cOMDeXbs4vHEjWZs2cXrnTvJ+/pnKBw9yUWYm\ntU+f5lXLoiZwClhRpw6XPvII0T16QIcORNaoUWQjImbMIKNbN9K+/NK/R11//RWWLIGDB89N8+aR\ncfQoaZdfXvioMECHDvDBB9CsGVSrdm55nz6wcaM50zJxote7V25t43Vu8539/Xd+3bCBoz/8wIlt\n28j+6Sfy9u0jwpXdpKNHqQHEArsTEsju1Incv/6V6v36cUnjxlxSxDb/8P33jGjXjhd/+IEYm2sE\n0OdtIIVykdwF2AHscj3+ALgej/AfP32aM3PmUG3ePMjJMQuTkszUsCE0aADNm8OVVxI2dy6cOmXW\nqVEDli3zriWJiTBihO0FspQLXuV2xZ49/HbkCM2qVyc8J4ewnTvh7FnIzjaZbdgQWrWC3r2JnjfP\nnBuyLPjqKzh82Hype/TR8/der57pQuHebWLaNKhUyc7XLM7nVW4PhoXxM1C/UiU6WhYnq1TheHQ0\n2bGx0KABVTp2pFrLlsS0asXOO+6gzrFjVAeuuOIKqowZc+FW1KxpugflF6yWVfTBi19/hXnz4Phx\nM02bZr4gRkWZAyOeBfa+fTBlinl/xMdDcjJ8/TXs3m3eJ8OGFf5yGBd3/hdQMMV0Oew64WBe5fZw\npUpkVqlCrZwcYvLyyKtUibzISHJr1CCnTh3y6tUj74orqNSsGfuefpq2p04RA0RaFld50eUnJjGR\nhBEjAlIgO45lmf/b3KeIiMLd/4YNgwULYOlSGDPGfDHNzT03xcebOs7dsGGmq+DZs/DAA3DRRaZb\nbF6e+XJ76aXnt+Xmm31ufigXyQ0B9449PwNdPVeqDFTK7x/Wvr0pMIorCP7nf0yRHBVl/jFE/M+r\n3NYD4rOzCYuOhiZNIDbWnPHwLAgsi7DISNPHGKBvX5g168KtmDoVunVTv2Lxlle5jQfOVK9Og/Hj\noXp1asbGUrNv3/O39ssvNHf1A7WqVKFKbCzcf7/5fH7kkfPX37QJ7roLdu6E336D8eNNH9+LL4YV\nK85fPzPTFLc1apgpM9MUyXB+wQumKPYsdmbPNvv15ahwKc+0iG28ym2cZXGoalWsjz+mUosWNKhT\nhwZ16py/tWPHODJuHAAnK1Xi4n/9C3bsgOhoqFv3/PXzc/f44+ag26JF8Mwz5w7SeTp8GHbtMoXj\n00/Dnj1QtSq89hp07Hj++nv3woYN54q/vDx49VWzbOXK88+AbNoEGRmFC8zcXFi8+Fzt4/6cpUvN\nF8ycnMJFbI8e8N13pnB1388nn5j3Zv76OTlmuuUW83qGDTMHafL3M306/OUvEB5u3s8REebnkCHw\nwgvn2r1tm/nCunu32W/TpuY5+dONN8KoUYX/Ntu2mbYBjB4NKSmm9gsLg169ii6St207f5mDDQDe\ncnt8B/BP9xWaucaB1aTJbdpBcCm3mnydgp1ZUG41+T4pt5ocN7ny4LVQPpK8D0hwe5yA+ZZYYGc5\nukJRyg3lVpxIuRUnUm7FJzuD3QA/qox5PUlAFWAt0DqYDRLxgnIrTqTcihMpt1KhXQtsxZzWKaIj\nm0hIUm7FiZRbcSLlVkRERERERC7sQgOI+0MCsBjYCGwAhtu0H3fhwBpgto37qAl8hBkmZxNwmY37\negTz9/sBmApU9dN23wEOurabrzawENgGLMC8zlASiMxC4HMbiMxC4HJrV2ZBuS2Jcls2ym1hym3Z\nKLcOFo45tZIERGBfP6R6QHvXfHXMKR27+zuNAN7HDIhul8nAENd8ZSDGpv0kAT9yLvTTgf/207av\nADpQOPzPAf/PNf8w8Iyf9uUPgcosBD63gcgsBCa3SdiXWVBuS6Lcll4Syq075bbslFsHSwHmuT0e\n7ZrsNgv4o43bbwT8B+iBfd8SYzChDITamA+MWpg32WzMnZH8JYnC4d+CGcoVzAfXFj/uq6yClVmw\nN7eByCwELrd2ZxaUW28pt95TbgtTbstGuXVx6m24ihpAvIiRu/0qCfONpIiR7f3mJeAhIM/GfTQB\nDgPpwGrMGJNRNu3rKPACsAfYD2Rh3uB2icecWsH1M76EdQMtGJkF+3MbiMxC4HIb6MyCcluUJJRb\nXyi3hSm3ZaPcuji1SPZpMGg/qI7pm/M34IRN++gLHML0NbJzXMfKQEfgddfPk9j3DbsZ8ADmg6MB\n5u94u0378pQ/eHioCEZb7M5toDILgcttMDMLyi0ot6Wh3Bam3JaNcuvi1CL5ggOI+1EE8DEwBXMa\nxS6pQD/gJ2AacBXwng37+dk1fed6/BHmTWCHzsBy4AhwFpiJeZ12OYg5fQJQH/OBEioCmVkITG4D\nlVkIXG4DnVlQbt0pt6Wj3Bam3JaNcutwgRpAPAwTwpds2HZJumNvf6OvgD+45scCz9q0n2TM1b4X\nYf6Wk4F7/bj9JM7vkJ9/FfNoQqtDfiAHvQ9Gbu3OLAQmt3ZnFpTb4ii3pafcFqbclp1y63CBGED8\nckzfn7WYUxxrMMPK2K079l65moz5hrgO883NrtEtwFxFmj+8y2TMN25/mIbpw5SN6Xs2GHMRwH8I\n3aFdAjXofTBya3dmIXC5tSuzoNyWRLktG+W2MOW2bJRbERERERERERERERERERERERERERERERER\nEREREREREREREREREREREREREREREREREREREREREREREREREREREREROU8CsBjYCGwAhhez3gRg\nO7AO6OC2/Bpgi+t3D9vXTJFClFtxIuVWnEi5lQqrHtDeNV8d2Aq09linDzDHNd8V+NY1Hw7sAJKA\nCGBtEc8VsYNyK06k3IoTKbcS0irZuO0DmNACnAA2Aw081ukHTHbNrwBqYt40XTDh3wXkAB8A19vY\nVpF8yq04kXIrTqTcSkizs0h2l4Q5RbLCY3lDYK/b459dyxoUs1wkkJJQbsV5klBuxXmSUG4lxFQO\nwD6qAx8Bf8N8U/QUVtoNN2jQwNq/f39pny7l037880Gp3Eqg+CuzoNxK4Ci34kQ+5dbuI8kRwMfA\nFGBWEb/fh+m4n68R5tug5/IE1/JC9u/fj2VZAZnGjBlTrvZTXl8T55+qq7C5VZacsS8/ZVa5DeF9\nlcfXpNyW/3/j8viafM2tnUVyGDAJ2AS8XMw6nwF3uuYvA7KAg8D3QAvM6ZcqwC2udUXsptyKEym3\n4kTKrYQ0O7tbdAPuANYDa1zLHgUau+bfxFyx2gfT+f4kMNj1u7PAfcB8zBWskzAd+kXsptyKEym3\n4kTKrYQ0O4vkpXh3pPq+YpbPdU0hIS0trVztJ5D7CuRr8oNyk1tlyTn78gPlNoT3VR5fk58otyG8\nr/L4mnxV6s7wIcJy9TERASAsLAxCP9fKrRRwSGZBuRU3yq04ka+5DdQQcCIiIiIijqEiWURERETE\ng4pkEREREREPKpJFRERERDyoSBYRERER8aAiWURERETEg4pkEREREREPKpJFRERERDyoSBYRERER\n8aAiWURERETEg4pkEREREREPKpJFRERERDyoSBYRERER8aAiWURERETEg4pkEREREREPKpJFRERE\nRDyoSBYRERER8aAiWURERETEg4pkEREREREPKpJFRERERDyoSBYRERER8aAiWURERETEg4pkERER\nEREPKpJFRERERDyoSBYRERER8aAiWURERETEg4pkEREREREPKpJFRERERDyoSBYRERER8aAiWURE\nRETEg4pkEREREREPKpJFRERERDyoSBYRERER8aAiWURERETEg4pkEREREREPKpJFRERERDyoSBYR\nERER8aAiWURERETEg4pkEREREREPKpJFRERERDyoSBYRERER8aAiWURERETEgzdF8v8Bld0exwDv\n2tIaEREREZEQ4E2RHA6sBJKB3q75VXY2SkREREQkmMK8XK8nMBvIBLoD221rkW8sy7KC3QYJIWFh\nYeB9roNFuZUCDsksKLfiRrkVJ/I1t96s2B14A5gCtANqAn8G9pWiff6m8EshDvngVm6lgEMyC8qt\nuFFuxYl8za033S2eB24CngZuBd4CvvRy++8AB4EfSlhnAubI9Dqgg9vya4Atrt897OX+RMpKmRUn\nUm7FiZRbCWneFMmpwCa3xzNdy7yRjglycfoAzYEWwDDMEWsw/aBfdT23DaY4b+3lPkXKQpkVJ1Ju\nxYmUWwlp3hTJzYBFwEbX40uAv3q5/a8x/ZiL0w+Y7JpfgenKUQ/oAuwAdgE5wAfA9V7uU6QslFlx\nIuVWnEi5lZDmTZH8FvAokO16/APmW5s/NAT2uj3+2bWsQTHLRYJNmRUnUm7FiZRbCSpviuQozDe4\nfBbmm5u/lKnjf1hY2HnT2LFji1x37NixWr+crZ+RkcHYsWMZO3YsaWlpRW7HBmW+WCXYfzetH7z1\n3TNb3DZsotxqfeU2xP/OWj+0cutN+OYC9wMzMJ3mbwKGAtd6uY8kzPBx7Yr43b+ADMypEjCd8LsD\nTYCxnOur9AiQBzzr8XwLIDw8HICYmBhq1apFrVq1qFmzZsF8/vT5559z9OhRYmJieO+992jWrBlh\nYU64OFe85fr3LOs/ahL2ZRZcua1UqRLh4eHF5jV/2WeffcbRo0epWbMm77//PomJiWV8eRJK/JRZ\nCFBuw8LCiIyMLPGztmbNmsyaNasgt9OnT6d+/fp+eIkSKpyWW4Dq1asX+RnrPn388cccPXqUWrVq\nMWPGDOLi4vzwEiVU+JrbyhdehfuAiUArYD/wE3B7aRpXhM9c2/8AuAzIwlzpegTTUT/Jtc9bKKaL\nR+fOnVm4cCHVqlUjKyuLrKwsMjMzC01ZWVkcOXKEHTt2cODAAQDatGlDREQESUlJxU6xsbEqosVT\nmTML53IbGRl5XmbdH+/fv59t27Zx8OBBAJo1a0Z0dHSJuY2Ojrb1DyCO5LfcLliwgCpVqhSb2czM\nTH788Uc2b97MoUOHAGjUqBF169YtNrOJiYlERkba+gcQR/JbbufPn094eHiRec1ftnnzZjZu3Mjh\nw4cBiI+PJyEhgaSkJJo0aXJebhs1akTlyt6UUeJUvlSA1TDdM4778JxpmG99sZhgjwEiXL970/Uz\n/wrVk8BgYLVr+bXAy5irWCcB44vYvpWZmUnNmjW9akyfPn2YO3duQYFSqVIldu/eza5du4qcTp8+\nTVJSEsePHycsLIy6devy0Ucf6UheCPPD0Q27MwtlyO2CBQvIzc0tNrO7du2iSpUqVKpUibCwMOrU\nqcPLL79MWlqaipAQ5acjciGd2/nz53Pq1KliM7t3715q165Nbm4uALGxsbz55pukpKQUnCmU0FIR\ncjtnzhxOnDjBrl27+Omnn87L7cGDB6lfvz5nzpwhLCyMuLg4Jk+eTHJysg6whShfc1vSiiPd5osa\niftFb3diI58GCc/KymLYsGFMnDjRqzfMsWPH2L17N7feeisbN5rBPcLDw2ndujWpqal069aN1NRU\nddsIIX48BWgn23JrWRZHjhzh6quvZvVq839JrVq1OHPmDMnJyYVyGx8fX6YXIf7hkMyCjbnNzc3l\nwIED9O3bl7Vr1wLm1HilSpW47LLLCnLbtWtXatSoUaYXIf6h3EJ2djY///wz/fv3Z/369QBERkYS\nExNT8DnbrVs3OnToQNWqVcv0IsQ//Fkkj8UUxy2BSzGnPcKAvsBK4I7SNtKPAnInHc9vlrt372b5\n8uUsW7aMZcuWkZ2dXaj46NSpk47aBYlDPrhtz63nWZPKlSvz3XffFeT2m2++oU6dOoVy27ZtWypV\n8uZaXvEnh2QWgpDbnJwcvvnmm4LcrlmzhhYtWhTKbWJiog5SBIFye47n2b5jx46xbNmygtxu376d\nDh06FGQ2NTWV2NhYW9skRfNnkZzva8yA3vndLGoAc4ArfG2cDQJSJF/om+XevXsL3hDLly9n8+bN\nVK9enaioKJo0acLMmTO9PtUjZeOQD27bc3uhzObl5bF58+aCzC5btoxDhw5Ro0YNoqKiSExM5MMP\nP1RuA8AhmYUQyG12djarV68udJAiPDycqlWrEhUVRaNGjfjggw+U2wBQbs+5UG6PHz/OihUrCnL7\n7bffAhAVFUVSUhJz5syhVq1atrZRDDuK5K1AMnDa9TgSc3vIlr42zgYheU/2EydO0K1bt4LTL/Xq\n1eO1116jb9++VKlSJcitK98c8sEdkrk9fPgwaWlpbNpkbrCZmJjIlClT6Natm47U2cghmYUQzK1l\nWfz0009cc801bN++HYCWLVvy6aef0rJlKPwXVX4pt6WXm5tL165dWbVqFWC6Fj3++OPceeed6gZn\nM19z68251fcw3SvGAk9gxkyeXNITKrrq1avTsKEZ17xjx448/vjjTJgwgYSEBEaOHFnQv1kklMTF\nxRVclJqcnMzQoUO5++67adWqFc8++yy//PJLkFsoUlhYWBhNmzalefPmAFx88cX07t2b7t27c/nl\nl5Oens6JEyeC3EqRwsLDw6lbty5gRt6YMWMGmzdvplWrVvTv35/Zs2dz9uzZILdSfNEJeAD4G2as\n5FBhjRkzxlq8eLEVajIzM62BAwdamZmZBcu2b99uPfroo1aDBg2sLl26WG+++aaVlZUVxFaWH4sX\nL7bGjBljUfRFpqHGMbnNy8uzli9fbg0dOtSqWbOmdd1111mzZs2ysrOzg9xS53NYZsFBuc3OmLaZ\nJwAAIABJREFUzrZmzZplXXfddVbNmjWtoUOHWsuXL7fy8vKC3FLnU279o6ga4dixY9bbb79tpaSk\nWPXr17dGjx5tbd26NYitLD9Km1tvDzmHY+6XXtltB3t82ZFNLCvETqN44+zZsyxYsIBJkyaxaNEi\nrr/+eoYMGcKVV16p09pl5JBTgI7M7YkTJ5gxYwaTJk1ix44d3HnnnQwZMoRWrVoFu2mO5pDMgkNz\n+8svv/Dee+/xzjvvEB4ezpAhQ7jzzjsLjuRJ6Si39tq0aRPp6em89957tGzZkqFDh3LTTTdRrVq1\nYDfN0ezok3w/ZuzCQ0Cu2/Ki7o4TaI4Mv7vDhw8zZcoUJk2axJ49e4iLi6N58+ZMnz5dF5+UgkM+\nuB2f2y1bthR8gOfl5REbG0vjxo2ZNm2acusjh2QWHJ5by7JYtmwZkyZNYtasWcTExFCnTh3i4+OZ\nOnWqcusj5TYwcnJy+Pzzz5k0aRLLly8nPj6emJgYateurdyWgh1F8k6gC+YON6HG0eF3Z1kWnTp1\nYs2aNQCkpqaydOlSHVn2kUM+uMtNbnNycmjfvn3BxX69evViwYIFQW6Vszgks1COcnv8+HE6duzI\njh07AOjbty+zZ88OcqucRbkNvP3795OSksKePeZEfv/+/Zk5c2aQW+Usdly4twc4VtoGiXfCwsKo\nV68eAC1atODIkSP07NmzYIQMkVAUERFRcLFfYmIia9eu5e677y64jbZIKKpRowYtWrQAzOhDS5cu\n5amnnuLUqVNBbplI8Ro0aEDbtm0BqF27NitWrGDKlCnk5eUFuWXllzdF8k/AYuARzF34RgIj7GxU\nRTV16lQGDhzIypUr2bBhAzfeeCM9e/bknnvu4dChQ8FunkiR8nO7du1atm3bRnR0NG3btuW5557j\nzJkzwW6eSJHyc7t582ZWrVrF6tWrad26NR9++CHl5cijlD/5ud25cyczZsxgwoQJpKamFoy9LP7l\nzSHnsa6f+Z8aYa75J+xokI/KzWmU4mRmZvLkk0/y73//m9GjR3P//ffr9pYlcMgpwHKf223btvHQ\nQw+xYcMG/vGPf3DDDTeo61AxHJJZqAC5zcjI4IEHHqBGjRq8/PLLdOrUKdhNClnKbWjIy8tjypQp\nPProo3Tv3p1nnnmGhISEYDcrZNnRJzmUlevwu9u6dSujRo1iy5Yt/OMf/6Bfv34qOorgkA/uCpPb\nhQsXMmLECGJjY3n55ZdJTk4OdpNCjkMyCxUkt7m5uaSnp/P3v/+da6+9lqeeeor69esHu1khR7kN\nLSdOnODZZ5/l9ddfZ/jw4Tz00ENERUUFu1khx599kmeXMH1W+iZKabRs2ZLZs2fz2muv8b//+7/0\n6tVL/ZUl5PXq1Ys1a9Zwyy23cPXVVzNs2DB1HZKQFh4ezp///Ge2bt1KXFwc7dq1Y/z48Zw+ffrC\nTxYJkurVqzNu3DhWr15dcGOSqVOnqutQGZVUTaeV8DsLWOLfppRKhfiG6Ons2bNMnDiRJ554gtq1\na1OrVi1q1qyp4WBwzNGNCpnbrKwsxo0bx+TJk3n44YcZPny4ug7hmMxCBc3tzp07eeihh1izZg3P\nP/88AwYM0Fk8lNtQt3TpUh544AEiIiJ45ZVX6NKlS7CbFBIclFu/CMk76QTK0aNHrYYNG+bfQcYa\nOHBgsJsUNA67C1SFzu3WrVutxo0bWxdddJGVmppa6I5TFYnDMgsVPLeLFi2yateubdWqVcvq0aOH\ncqvchrzc3FwrPT3dioqKsho0aGD17t1bubXpjnuhyrIq4DdEd3369GHu3LlUrVqV/v378+abbxId\nHR3sZgWNQ74lVvjcpqWlsWSJORnVrl071qxZQ3h4eJBbFRwOySwot1x55ZV8/fXXAHTr1o2lS5cG\nuUXBo9w6R7du3Vi+fDmgseztGCdZQpj7cDDR0dG0b9++4M0gEqryLyi55JJLqFGjBj179mTv3r1B\nbpVIyapXrw5Aq1at2LNnD3/5y184efJkkFslUrKYmBgAmjRpwqpVq3jppZc0trIfhcLtp4sTvGP3\nIWrWrFlWfHy89fjjj1s5OTnBbk7A4YxTgMH+MwVdZmamNXDgQCszM9M6e/as9fTTT1txcXHW9OnT\ng920gMMZmQXltlBus7KyrEGDBlktW7a0Vq1aFeymBRzKrWO45/bHH3+0UlNTrV69eln79u0LdtMC\nDhu6WywFqgLpwPvAb75n1Dau1yzufvnlFwYPHkxWVhbvv/8+zZo1C3aTAsYhpwCV2yJ8//333Hbb\nbaSmpjJhwoQK023IIZkF5bZI06ZN429/+xujRo1i5MiRFabbkHLrXGfPnuXpp5/m9ddf54033qB/\n//7BblLA2NHd4nLgdqAxsBqYBvQuTeMkMOrXr8+cOXO47bbbuOyyy0hPT9cwMBLyOnfuzJo1a6hS\npQodOnTgm2++CXaTRC7o1ltv5bvvvuOLL75QtyFxhMqVK/P444/zySefMGrUKIYNG6ZuQ8Xwtk/y\nNuAx4GGgO/AKsBUYYFO7pIwqVarE8OHD+fLLL3nppZcYOHAgR48eDXazREpUrVo1Jk6cyAsvvED/\n/v0ZO3YsZ8+eDXazREqUmJjIl19+Se/evenUqRMffvhhsJskckEpKSmsXbuWnJwcOnbsyPfffx/s\nJoUcb4rkZOAlYDNwFdAXaA30cC2XENauXTtWrlxJQkICycnJfPnll8FuksgF3XDDDaxevZpvvvmG\nK6+8kh9//DHYTRIpUXh4OI888ghffPEFjz32GHfddRfHjx8PdrNESlSjRg3S09MZN24cffr0Yfz4\n8eTm5ga7WSHDmyJ5ArAGUyz/D6bLBcB+zNFlCXGRkZG89NJLTJo0iUGDBjFq1CjOnDkT7GaJlKhB\ngwbMnTuXm2++ma5duzJ58mR1G5KQd+mll7J69WqqVKlC+/bt1W1IHOHmm29m1apVLFiwgKuuuoo9\ne/YEu0khwZvOyw8AL3ss+xumy0WwqUO+j3799VfuvvtuvvrqK5o2bUpcXFy5ulOfQy4mUW59tH79\nerp3707lypVJTk7mo48+UmYDT7n10SeffMJtt91GfHw8rVq14oMPPlBuA0+59UFubi4vvPACjz/+\nOE2bNiUpKalC1wjerLgG6OCxbC3Q3vtm2UbhLwXLsmjVqhXbtm0DYODAgeWmD51DPriV21Jwv5FD\n9+7dycjICG6D/MQhmQXltlRSUlL49ttvAbj22muZM2dOkFvkH8pt+dapUydWrzYdB2644QY++eST\nILfIP/w5usWtwGygietn/pQBHCl1C/1s7Nix5eY/y0AJCwsrGBYuKiqKzMxMDhw4EORWlU1GRgZj\nx44NdjO8ptz6Lv9GDi1atGDr1q089NBDju425LTMgnJbGrVq1QIgISGBFStW8O677zq625ByWzHE\nx8cDEBcXx6pVqxx/d0k7cpsIpAHfYka0SHNNnYDKft1T6QVm9OlyKH9w8UOHDlmPPfaYVa9ePeuz\nzz4LdrPKDGcMcB/sP5MjuQ+If/jwYeuGG26w2rdvb23cuDHYTSsTnJFZUG5LxT2369atsy6++GLr\npptuso4cORLsppUJym255p7bzz77zKpXr5712GOPWdnZ2cFuWplgw81EQpnrNUtZLV26lEGDBnH1\n1VfzwgsvUK1atWA3qVQccgpQufUDy7KYNGkSo0ePZuzYsdx77735//6O4pDMgnLrF6dPn2b06NF8\n/PHHTJ48mauuuirYTSoV5bZiOXDgAEOGDOHIkSNMmTKFFi1aBLtJpeLP7hbLXD9PAMc9pmOlbJ+E\nqMsvv5y1a9dy6tQpjZcojhAWFsaf//xnvvnmG9577z3+67/+y/HdhqT8i4yM5OWXX9ZoQ+Io9erV\n44svvmDQoEGkpqby9ttvO7rbkLdKKpK7uX5WB2p4TBXjfrEVTExMDJMnTy4YL/Hpp5/WeIkS8lq0\naMGyZcvo1KkTHTp0YPbs2cFuksgF9e7dm3Xr1rFz5066du3Kxo0bg90kkRKFhYVx3333kZGRwauv\nvsqAAQM4ciRkLlGzhTfjJP8TSLW7IRI68sdLXLhwIT169GDXrl3BbpJIiSIiIhg3bhwzZsxg+PDh\n/OUvf9FtViXkxcbGMnPmTO677z7S0tJ49dVXK8TROXG2tm3bsmLFCpo1a0ZycjILFy4MdpNs402R\nvAr4O/Aj8A+gs60tkpCQkJDAokWLuO6667j00kt5//33g90kkQvK7zb0+++/q9uQOEJ+t6Hly5er\n25A4RtWqVXn++eeZPHkyQ4YM4cEHH+T06dPBbpbf+dLpvg5wI2ZouMZAc1ta5Bt1yA+ANWvWcPvt\nt3PmzBnq1atHTExMyA4u7pCLSZTbAJg+fTr3338/iYmJREVFUa1atZDMrUMyC8qt7XJycnjiiSd4\n8cUXadq0KY0bNw7JzIJyK+ccPXqUe+65h0WLFtG0aVPq1q1bbnLrS8C7AjcDNwCbgOt8apk9FP4A\n+f3332nRogX79+8HYMCAAXz00UdBbtX5HPLBrdwGyN69e7nkkkvIysoCQvPGOQ7JLCi3AdOhQwfW\nrl0LwDXXXMPcuXOD3KLzKbfizrIsWrduzdatWwHo168fn376aZBbdT5/jm6R7zlgO/AksAEzTnIo\nFMgSQFFRUSQnJwMQHR3N+vXr+eKLL9R/TkJaQkICl112GWBODx49epRNmzYFuVUiJatfvz4AjRo1\nYuXKlTzwwAMcPXo0yK0SKV5YWBhNmzYFzA1Ili1bxiuvvEJOTk6QW1Y23hTJO4EU4GogHciytUUS\nsqZOncrAgQPZtWsXL7/8MiNHjuTqq69mw4YNwW6aSLGmTZvGwIED2bNnD3379iUtLY17772XX3/9\nNdhNEylS/mftDz/8wJYtW8jOzqZVq1ZMmDDB8UWHlF/5ud22bRtfffUV8+bN4+KLL+bzzz937AG1\nkg45twY2Y44cF/XqVtvSIt/oNEoQ5eTk8K9//Ytx48Zx44038uSTT1K3bt2gtskhpwCV2yA6cuQI\nTzzxBNOmTeORRx7hvvvuo0qVKkFrj0MyC8ptUG3YsIGRI0eye/duXnjhBfr06RPUm+cot+KNuXPn\nMnLkSBo2bMiLL75Iu3btgtoeX3MbXsLvxgOzgWlAb8yRZPdpcqlb6T9j82eSkpKC14oKKjw8nK5d\nuxZcmX3PPfcA0LlzZypXDuydyzMyMnj33XdZsmQJwBMB3bnvxubPKLeBFxUVxbXXXku/fv148803\nefLJJ2ncuDEtW7YMaNHhsMyCchtUdevW5Y477qBZs2aMHDmS2bNn06FDh4AfmFBuxRctWrRg2LBh\nnDx5kqFDh7Jz5066dOkS8Lv62pnbSC+XBYOdt/gWH23dutXq16+f1aRJE2vGjBlWXl5ewNuAj/dl\nD5KA/12kePPnz7fatm1rpaWlWWvWrAn4/nFGZkG5DRnZ2dnWhAkTrLi4OOuee+6xDh48GPA2oNyK\nj44ePWo9+OCDVp06daxnn33WOn36dMDbgI+59aZP8nIvl0kF94c//IFPP/2Ut956i3HjxtG9e3dW\nrVoV7GaJlKh3796sXbuWW265hWuuuYahQ4fyyy+/BLtZIsWKiIjg/vvvZ8uWLURGRtKmTRuef/55\n3d5aQlqtWrV48cUXWb58OcuWLaNNmzZ8/PHHId1fuaRzi/WBBsD7wG2udS3MLan/BbSyvXUXZoXy\nH7ciy83NJT09neHDh1OtWjWSkpKYN28ederUsXW/Duknp9yGqN9++42nnnqKCRMmEBsbS5MmTZg9\ne7at4306JLOg3IasrVu3MmrUKJYsWULdunVJSkrio48+Um4N5TZELVq0iBEjRnDw4EFq165NQkIC\n06dPD6nclrTiXcB/Y+6w537bquPAu8BMn1vnfwp/iLv88stZtmwZAJGRkYwYMYLBgwfTvLk996Jx\nyAe3chviunbtysqVKwFz9OOpp57i1ltvteXD2yGZBeU25LVv355169YB0LBhQyZOnEjv3r1tuUZE\nuRV/yM3N5eKLL2bLli0ANGvWjBkzZtChQwdb9ufPcZLfBXpgiuUeblM/QqNAFge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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multisensory integration of visual and vestibular inputs\n", "\n", "The last section of the paper looks at multisensory integration of vestibular and visual signals. I will work on these simulations at a later time.\n", "\n", "## References\n", "\n", "Ohshiro T, Angelaki DE, DeAngelis GC (2011) A normalization model of multisensory integration. Nat Neurosci. 14(6):775-82. [link](http://www.nature.com/neuro/journal/v14/n6/full/nn.2815.html)\n" ] } ], "metadata": {} } ] }