{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spherical Mean Technique" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The recently proposed Spherical Mean Technique (SMT) model *(Kaden et al. 2015)* is a spherical convolution-based technique, which instead of a model to multi-shell DWIs, fits the *spherical mean* of the model to the *spherical mean* of the signal per shell. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SMT observes that if the FOD is a probability density (i.e. integrated to unity) then spherical mean of the signal and the convolution kernel must be the same\n", "\n", "\\begin{equation}\n", "\\int_{\\mathbb{S}^2}E_b(\\textbf{g})d\\textbf{g}=\\int_{\\mathbb{S}^2}(\\operatorname{FOD}\\,*_{\\mathbb{S}^2}\\,K)_b(\\textbf{g})d\\textbf{g}=\\int_{\\mathbb{S}^2}K_b(\\textbf{g})d\\textbf{g}=\\epsilon_K(b,\\lambda_\\perp,\\lambda_\\parallel).\n", "\\end{equation}\n", "\n", "The estimation of the multi-compartment kernel using SMT enables the characterization of per-axon micro-environments, as the effects of axon dispersion and crossings are only contained in the FOD.\n", "\n", "Advantages:\n", "- Insensitive to axon dispersion and crossings.\n", "\n", "Limitations:\n", "- Only accounts for average of tissue properties in crossing configurations, which potentially each have different properties." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Using Dmipy to set up the SMT Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To set up the SMT model we start by calling the regular zeppelin model." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dmipy.signal_models import gaussian_models\n", "zeppelin = gaussian_models.G2Zeppelin()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To initialize a spherical mean model, instead of calling the MultiCompartmentModel, we call MultiCompartmentSphericalMeanModel." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dmipy.core import modeling_framework\n", "smt_mod = modeling_framework.MultiCompartmentSphericalMeanModel(\n", " models=[zeppelin])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the zeppelin's spherical mean representation has no orientation parameter 'mu'." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['G2Zeppelin_1_lambda_perp', 'G2Zeppelin_1_lambda_par']" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "smt_mod.parameter_names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The only constraint on the Zeppelin model is that $\\lambda_\\parallel\\geq\\lambda_\\perp$. We can impose this parameter constraint using the model.set_fractional_parameter() function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['G2Zeppelin_1_lambda_perp_fraction', 'G2Zeppelin_1_lambda_par']" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "smt_mod.set_fractional_parameter('G2Zeppelin_1_lambda_perp', 'G2Zeppelin_1_lambda_par')\n", "smt_mod.parameter_names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The lambda_perp parameter has now been replaced with lambda_perp_fraction. \n", "In essence, what this function did is replace the original parameter with a different optimization parameter that operates as a fraction $f$ of $\\lambda_{\\parallel}$, such that $\\lambda_{\\perp}=f \\times \\lambda_{\\parallel}$, where $1\\geq f \\geq 0$. Internally, the $\\lambda_{\\perp}$ parameter will now always respect the relative \"smaller than\" constraint to $\\lambda_{\\parallel}$, and the true value of $\\lambda_{\\perp}$ can be recovered after fitting the model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the model, notice that it's just single model:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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kIDk5GXfccUd3jZIxxpgNFRcXIz09XThAycvLg0gkQnx8PCZOnIjp06cjJSWl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\nRDp+/Dj99a9/JW9vb5o0aRI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"text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "smt_mod.visualize_model_setup(view=False, cleanup=False)\n", "Image('Model Setup.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting SMT to Human Connectome Project data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This data slice originates from Subject 100307 of the Human Connectome Project, WU-Minn Consortium (Principal Investigators: David Van Essen and Kamil Ugurbil; 1U54MH091657) funded by the 16 NIH Institutes and Centers that support the NIH Blueprint for Neuroscience Research; and by the McDonnell Center for Systems Neuroscience at Washington University.\n" ] } ], "source": [ "from dmipy.data import saved_data\n", "scheme_hcp, data_hcp = saved_data.wu_minn_hcp_coronal_slice()\n", "sub_image = data_hcp[70:90,: , 70:90]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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3fLqMzz3uJPD69/fQPxv1j/jrM18lXPPGRwEAD964D9f+AV40SNWHhISEDpKn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\nTAeF64xs/l9TcxEjsfekd/MARz8yGV2jywo6bSLzEs/+8o1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.patches as patches\n", "%matplotlib inline\n", "\n", "fig, ax = plt.subplots(1)\n", "ax.imshow(data_hcp[:, 0, :, 0].T, origin=True)\n", "rect = patches.Rectangle((70,70),20,20,linewidth=1,edgecolor='r',facecolor='none')\n", "ax.add_patch(rect)\n", "ax.set_axis_off()\n", "ax.set_title('HCP coronal slice B0 with ROI');" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setup brute2fine optimizer in 1.50449085236 seconds\n", "Fitting of 8181 voxels complete in 22.991079092 seconds.\n", "Average of 0.0028103018081 seconds per voxel.\n" ] } ], "source": [ "# Fitting SMT is very fast, half the time is actually spent estimating the spherical mean of the data.\n", "smt_fit_hcp = smt_mod.fit(scheme_hcp, data_hcp, Ns=30, mask=data_hcp[..., 0]>0, use_parallel_processing=False)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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/snif2ySEEEIOBg9sf7HgbWffcx0AYN4nnjpg+7tw6qKC+0MIAIhIFYDXALhHRPzXpbbs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\nlsb7fM0tnbsfxKQNoyoC4f3ksyEmO7K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5dSmnXtJIBLWU/Lpe3fKqjl8ezebn16nWY3Q+\nU6EpPZXrVGHJVKonr2Kzegtn7ci+pYP4KAAJUwdLd3bbPvSlpMU8XzP1WDtP1jii2uUqb6XGW6a7\niapcVT+2LmzfshuG9bjs/JSMLVtPVu0t35ZX6Gp13nxil16TzDHaj67XWEajdj0nk57R673+PXof\nrH3fbUGT3mv5t2/X+dzBPVKt90LdWpvT3a4qXc9cjfEra7E6Jxt32vFE5vabaunsGP29XDug90jV\nFquL1qZt9s7S+LbWE+z8WlwbAFRvVQ+nG9j3TFNHLhJkzSLkcGb9V86yd8MrU3Puvg4AUNaq93z/\nAn0mffLkhwEAq3u1VuPAUWYz+/X50rezOmjja+0a6/lP40NFJIpXrE4pzVaufOa7aotzerRverDs\nGFNGpifVDny+UesRTbYmvLr1zIDa0InDqF0j4TPAdZndiJtZ3T6kz/Kjk6Pb1zs79dgf3z0XADC1\nSm3hU1dafSRkP0tu3a3xsJ1pneWxoGx7sMxV6DN83mytYVWd6MdIVFttrbVb1WZ+47FLAABl7/lF\nsI7PhnhymcarpU1VWJlSlalS8mcI3mVxY3sisVZTkmr3u1Nqj7607M0AgKvO+T+MhdP/RTNEzl/Z\nHXyXSej12/Rx/TycIrXDYuBed/cNul21nqsHL/4aAKA2krXYX8/Ndh19psVvtp0JAHhk5zwAwBMn\n/GrUPnuVigqVZ//so3NuB4Ad9r5LRFYBmAYgOpi6BMCdTn+gPSUidSIyxbbNCwdThBBSZHCaHyGE\nELI3o9jHBhGJjojvcM7dkW9FEZkF4CQAT+csmgYgmnGmyb7jYOpg4rPEVWwPvUhi3qqa1eolckl1\nZ8X69HsfZ9IzTRWCki7LYGO1g2LdoUdor5goryZ1aNtIWuyU94z4OkVTtGp5UDuqMlRLvJoQa9Y5\n5D4zYJBFz6sjlmHP9en6e6lM0Wx0tk3Q39x4oNy4Ib+tXz8Veqhcg6oXPiOhP39i6odXi5LNqtoM\nTVQP0EC9Zffbap6nwUhNKN+2nY94u66TsYyFExar16tvunrEUhN1Dnpyl66XqrHzN3F82JidF3hl\nKpajBvpjTuX0w2c8jJ4jr/5ZW7EeU8xMCapo1u97l6lHcdza7PNc1qqvp332+qDJms16Tks77Dpb\nHIJYzQ9/Pn0dsfImy+KYtP75eliR+mIyZN9Vaj86F6rylE7q/qubrL6ZXbOynXpPV4/T89rdGN4H\n1ceqNxUvrABRnAPSGQ6myOHPuituG3Wd97zhSQDAS5YhbmqFxRG/oFnp4ltNmajWZ9ak2aoU1ZaG\nNvKMivX71K/f9Oiz/R+euFa/6NNnUrwv9HjHG/W59d3T7gQALCjJrzz52C7PUza75MwybXN3ujdY\n5mtDVdgzu9ky8PW47J9iPk5ry5D+nvO1pLw6AgDXrL0cAFBbqnaiP639uHfeH7Pa8pn1Ln9Bj7Vn\nqz6HLz5LFY931LwQrCumhO3o0nVOG6/HcsPOkwAAX5kcrguEqtMZ596qbaY08+Kta88N1jnt+B8B\nAFJ2jPUWW1Ym2TZxblJteUy0Dx1pPd+rB6YE6wxYXFW1xWF1JtQG/bJb7f+7qrJn1nhOfEYzQFri\nW7ScFMa19U3Sa3H+3BFDYoJYuLJ5en9279TPf+zRVIfRbI9lovfml3aqMvvIX04AAMTNjA7N0eUf\n2aZKVW5MGhmeMdjHVufcqaO1IyJVAH4J4JPOudwbJ98Ohgn2VziYIoSQIiOT91lOCCGEvLrZX/so\nIknoQOonzrl8cy2bAEyPfG4EsD3PegEcTBWAzzQXn6Bzfl2HeZ4iKo2P8fE1eGK95pIwpaRkm6og\nyR05N4Wv7zQUqSGRW7PI41UkH2/iVRGfWW7AqyXqjol37z032cckid+vj7fKZGfRk4qK7OVBH0I1\nLlCkcrP6DVOLKcBnvEtG4nLSppxYzSfJJLK+98pa+xmqYNVs1M+VG0yt84pUMpIh0OKnhqp1P/Em\n9dj5ulyDM/R6JsyzKEOWRW+6egnTlg1pqK48aDPRNIzalnvsOapckIlxMM81se8yreqBlWr1Elau\nbgEAlO3Ua9Y7Q1/TFgcw+WlTsiJxYvF+i0sz5Wlwsh7LUKWel5JO23+/XeeU9tdnm5SpqsLFd4f1\nurwaF2vVe3jcYrt3Skuyjj1TrR7lWI9lvdplqmxleJ33zNdjq852eL6qcYyZIoc5Y8ned+cefd4+\n26YxPKeN14xnC8s1tubc01cBAB6Zr57/gbQ+o66coPWlzi0fPZ5oOLwqMmmS1Ve0/7d4LGwzZarR\nV7dqLaXtk3Um0Gg1i7wi5YlmDhxnr1tMYdpmMTWLSjt0eUyfmQuTzQCAilh2ZsD+iOl8h2XOe1+N\nqnJVsew6Tj426lu/vhgAEJuv+3z96RoactNkjUnzGQ8BIFmu56WrWfd7zsI1AICXTR065okrAQCJ\nhJ6n2ePVRq3eqXZYTNlrb6oL2nx8js4+8MpURUztQaW9+pi0H3aomDDRFKqnO2cDCGteAWF9oWNq\n9fycWr8FAPDXLt3H9pS2tbZP+/O751RRC2pJLrLYtL7w19TQOD3mL9r5GK5mlY8/nlOv+1jWpLbr\nq09fAAD48+ymYN13TtJ0zP897SEAQNVVqr4+2a/nbVNqAgDgZztPAwCkTbGMC5/7o7G/9tEy9X0f\nwCrn3NeGWe1eAB8VkbuhiSc6R4qXAjiYIoSQomO46gGEEELIq5n9tI9nA7gSwHIR8V6fGwHM0Lbd\n7QDug6ZFXwdNjf7+0RrlYKoAfOYxV6MeHa8+uXg4WhYfMtNlqtFA/ow1klvvKTdmKfpd7mfvRbPP\nzlQbpEw56M/JkBZRaYIEP3ssU6CpDV4Rc6m+6JYQn0HQKypeecmNg4oyiiLl44WCGk1lYbZBX+cq\nU6H7E1NYBqeoN2hgXPatG++y/gexaXrsQ+NDb13pVvX+ecUEtr9Mm6mEvdpGZqZmJmo/Tvfl51TX\nbDJVrDWct77XMVmGO1/HK7Ji9se+7POrnbZznPN1oAaa8ujPePVyU4S8ImnXN1MVHnOsw2ppTVJP\nYU+jLivp1GsT352tqvprUrpZvW+uTM//UEOYOSvebtet27b194BdM9+WVwClTPtVulP7Uhnx3PaN\nH+H+eZXiHJChMkUOY85e9k4AwJM52co+vv204P2GblWm5pvK8J46re/Tkla76uOGTqnaBAA4s1xr\n0tXHvF0pvJ7TRRVqH76ctPhjUzxK4+Fzu3NAn5WXTNTfW1Mtk9yyQX0e11nNyB77Xx0upspn7ANC\nFcjHQM2wTHIDTp+VvU5/J9TGypGP9kyo6ndZlrvPNp8DADitSs/PTUv+Ro9puy5PpPXYZtRr/7f3\n6Hn18VoNkUfw6tdqfNj8x68CAHxu9dsAAFfO+v/svXmcXmV5Pn6dd19mn8lkMpNlshNIIAQIKAgR\nFBBxBRHcqtVa6tbqt9ZfbavV9tdq+63WulNbrZXihgtFEBBBQQhrQkJISEL2STL7PvPu5/vHdd9n\ne9+ZySovyXN9Pvm8ec97znOebZ7nnPu67+vm2Px07TcBAH+w5Q8AANsfJHuUGJICmrn2J1bqASAk\nD0MDebZ9X5G5D5cmOe5PTLKMxgj7qSHMzz9ofZh9UnKfCx4YJUt5YIL7WX2UY6Hj9pODVLybzHMf\nvmClP5ZuWx8Zq1GPEuQ/rqPy4FS5xxS/maSXxqWiGHnLGzm3/6XvYgDA7Vtdtb1Y+BwAwLvq/Pmv\nNNdX1KJS5PZuMlTXFNjP96y4c9o6GBz//mjb9sOoHBPlPccG8MGjKde8TBkYGBhUGYwAhYGBgYGB\nQTmqcX80L1MGBgYGVQYjjW5gYGBgYFCOatwfzcvUcSDTTqo43ivuTiEP9SjS07Zk4bNrhUKOiCuX\nSKeHRnitSlA7/oEe2La4Nah7n0poByXTg65k4sIHcV8LedwQHXc+dT+cSs48WBcVTHDqW+H8oAug\nlK0uZI5rnJYRKi9D5cvzdaT4i7Pp9pDsogtAfD/dNCypvyaQzc6TpLN9DFoN93tc8kQUJDRCF7t8\nB90NIgPi/idS89YEx2TWIbpD2CKdrm5tpZFRT0X9ghOOq6W67IX9dLTj/hcqp6mtiP/P0Rlf+dT6\nQeupbpKaUFf6IJxx3V+07qEM51vDBnE7kD63xTXQ0nZIf5Zq2d+WXKfuk977ONA5pOMovxdFhzaa\nK/nKiA+47qdZEfOwX0a3COvRZ3C6w4blBFofCyzLuhrAl0CP0G/Ztv25CufcAOBvwdDsZ2zbftsx\n39DAIIDRTLzi8X3jTc7/1f2rYHNd+MeDTMDal6E72KJauhrf2EzZ6LNiXCvGSlMnklVZ8nFxm1uX\n4Po1KOIBjeI+p4H+n1hIGXGV4dYktAAQBctqCHPdP1jg3nLvyCoAwPX1TGWzWgSp1P1vXpjrnbqN\neQUe8rKXD0sb9Dc9PiHCT/WB7UEFCooe76QNw/MBAE/spdDEHf3nAQBaF7PfVi2mO9rF9fx8eozn\n3fnYGgDAWSsquxICwI1nUEDh1nsvBQAMzGU990offPssugN+ofnVrEtPBwDgnCbuLx9rv9cpa26E\nfbozRrENdd9si3Afe2CMrnuDefbXDotu9vVyXb7k7j2bhyifHxNXT3XvS4a4B72hnftHSr6/uYZt\n137eKnL3f7n3TU6Z9w+dKf+jMIcKjKhAyp193JvOqqX+wKdnaW5XlnlzE90R70pqOUBthHucztWg\nOIgKemTHOU8Px/gsqW6w/9b+BIIwyXuJ490fTxbMy5SBgYFBNcE+dsubZVlhAF8F8GpQ3vUJy7Lu\nsG37Oc85SwH8JYCLbdsetCyr9QTU2sDAwMDA4OTiOPbHkwnzMnUsEEYgpBLUGrw/6SahU0t/oZ4W\nidFOWoHG22hymrWRlou4MFgqHmCJcILtFaxQuUxb2CSVTVcGaAppk6DIge0Vi3DYLb+8bJDt0iS9\nep7DtOi9KzAsDlQ2PRr13XMqiXdvfS2x2MRz0ma5T2hYBDPGRHxBhTFEQlalwJ0kxEnXQuokqhW5\n9Ui3MDx1tAqFtK3Sv0WVJlepb+0Dr9y6JioOJiB22LmQr40OgsmPPfd1vgeZx0AZNvz3tApyz0mP\n5Vbub9fT6jcxn9ZBlYlP7RKZX6l/SRhUS9mwNOfv33/v350iP/0mBh87iYh1/udVNESEPSTx73g7\nv8cHhZnqcQOyI5MsP9cg4w0DALCP3Sd8LYCdtm3vAgCRdn0D1OxK/BGAr9q2PQgAtm33HEdVDQzK\nsGntbRWPX9GyrezYrXtpjR94hsH48X7O/RfW8LuyDo/G6BFwTpJy2K9Mul4HcYt7jCtLrmuniiy4\n7BDgMj0qRAEExJp8YNkTUSY+f2Na7+tfrZaI10lKWIhKrETUCvvqo4zU83lee17cL6qRtfO+9i2N\nuGv78hoKOICEE3bWk0lZ1UwGxZHllvsPFPxlawLg/7P/dc6x/1n4AADgM7OYRL3lGp7z4ca98IPP\nM9c0bQIANMW4pr+2nsyQVx5+Y1bSw0gy3gsTTG47IYzkigTT9xwMk/XqylJcojfHfTkWcvfFNY1u\nYlwAWJumwIQm9h0rsq2a3Pf5vLJvIm4R4l7VWdPvlHH/vmUAgF89fRYA4LMHRMgpznMvfw0l6F1G\nyo+bdzJ5ctu/eoQy3rMcAPCkyPhrQuK5IjyyPSOJiDPsg/EdbPMvRlcCqMxMGbg4jv3xpMFIRhkY\nGBhUGWx76n8AWizLetLz7/2eSzsAeJ84DsgxL5YBWGZZ1u8sy1ovboEGBgYGBgZVjxn2xxcFhpk6\nBkTmyrPJOK1GauX3sgyQ2JjwGN+gYyO0Wgy9iRaS3B4yAJExHrcjEjsSInNQTHnYD0kem9gj1pQB\nsgkOq6T3DTIZQXh+D7IgTmLgkDBkwVioIAMVZGJ4ET+UdXFYrUC9AmUrq2PlXGYPfcqYqNw76+v0\nsLIxKqcuMvDRQyLJKse90uXWCPu+1CRM1JhIoUt/OvVX5imYWDcUiAXz1l0T1hYDY6Gsm9YjKKXu\nLUvHRMciyDxaQRbRfy+9h0+WfVxi8g7x3PQOKTstMXzJhO8eoTGyg5qAt/88zsebHnaf15d3SXLC\noPy7JSxTC62uPedLYuDVMl+/T1/5+GH3kui4yM1PBso6jWHbgD299GufbdvnT/FbJZNdcIuJAFgK\nYB2Y2f0hy7JW2rY9FLzQwOBE4oLkLuf/S0TWuruda8ytexlP1fIM5/5EO9eTJ5pJvYznyDZ8e/Ii\nAEC23xPzI7P+4rOZZPbP59wDwI1nCiIrXh5RSTShjJEXEyV/OpOtsj01hMjWLI76mZ4JYZF257ge\nz5LYqekE3PW+K2OVExBH4K+XV777482Modlexz/vZQvYCQ9LzFkwTueqGrJNo5fw+D0TlCR/f9tv\nyu57wdM3AAAyea7hH74wyEwR19WMyCfZG+2z7Xl3L2+X7fTOQcYeRS32z4UpskqJEM+tCXM+XFZH\n9nJrhs9Z+zNunN3sBO/Xneec0Vi3sCxxIfmcGyOLmJbkzKOyD8+V56x/lgTMALC9+SEAwLgkFd6Y\n4Xz77SAZq6aoJ2G9B3/dw9i5w3cydq2xxm3zh84nK6iJpbfkOI6/GaW8+g+eY3xbw7OSyLiX53Wv\nNb4ZM+EI9scXBeZlysDAwKDKYFd+tjoSHAAwz/N9LoCDFc5Zb9t2HsBuy7KeB1+ujG+JgYGBgUFV\n4zj2x5MG8zJ1DNBkvRqvoyplpZibUC88SGuGNSGxUf38bLyd1+bStCJF69xrAODwhbRM1O11Z0tY\nDGSDy+hnW7+bvtGpHVTOsZWp0voJwxFkl7wsjS2WGocZcRIBV/ZFLYulmkb1z7mLo2h3ZIlZvWyZ\nJhEuq0+Q5VIXcokrcxTxZGyKTa5dMNJHn3sdLztOS6cl7ExR+lHrG2qkD7ejQpgLKB967+fcRL7L\nX7utbFtA4bBM2dB7zlTKikEFxRni3Xz1U9ZKz5H4NCcmTmKlJhfQdzuUZ9m1Xax/69+4PuaatNpp\nS4L9V6pTtpX9tPA2UR/8ofydhEh8ZNvdMZmUjJEJGhJNzBQAwDqeANsnACy1LGshgC4ANwIIKvX9\nDMBNAL5jWVYL6Pa3CwYGJwnfH+Va+h8HLnGOvXcuVdBeVUvG5LeLlgAADo22AQAkhysOdDf6yqp9\nStbrdnftLAoD8NQvqaj25lmMWZm/nHFF757P2JXOKPfM8+M8f7DE9e25nJvEVdEkzNITk50AgFUS\n6xNkpBQaB6VJcF/Ik8GKYsI5JyRrd8KSROYSC6WfQUxKEt9dso2kLXeP1HqslkVTY6DOjCmjxt81\nLkvVENcLa/OG9B4AfrZrS477wsAg21IqcO0++/GbAAB/feZdAIAbaoYr1jcV4vNMg+2yNNskWW9L\nhPtvd54eCg0h3kvZmwcn2U+bM7QFbR4lMxXyeGREpf1LEhzXmMNy7fTV41cSezQqMVQHcmS3zk8z\nsfGZsW7n3N4ix352mP03P8q97swaxp49O0oFwbUb3gIAGNrM5y91kwmTJMPEB1xi//0NjK/65QTb\nuifHtjwxshAAsGpuFwDgJ391HwyOFse1P540mJcpAwMDg2qCfewBtrZtFyzL+hCAe0Bp9P+0bXuL\nZVmfBfCkbdt3yG9XWpb1HBip/3HbtvunLtXAwMDAwKAKcBz748mEeZk6BpRStL6oYl8pwW4spF3r\nUnhUKBNlgIRFiI3QkpKtF6u+GNdi/bTSzL9XrEqe+Kt8A60rGVE8G+vgfSITtNjF9FzJl1TGQjgV\n98QPKVtUxpdWZpGc84PsiTeWaip1Qb02FLi2FKinp82OamBAYc8511E41P6VuCHJEWWlxJd6wFV8\nyiykv3JIVP0KksMqLgqKIYm7UjapNDLia7ujaOhtm7TJUfUTX3GNWypjroKoEHNW9luAkXLGQkhN\nra8T6+Upx6m79lMw79UY+0f7L6nXiuKhzinbG8+mcQg6d6R+qhYZHuccnlzI+VmKiBpilJ8jne4c\nyzayXvPuMzFTPhxHIK1t23cBuCtw7FOe/9sAPib/DAxOGA785cvlfxt9xx8YPgMAsKe72Tn2fAs9\nLcZjXE+SEa4xxVauH9YhWeDkweltqx8HAPz9qzaX3feijdcDAAaHRRGwj2vM3hre7940ldreOOtp\nAMDBIlmSZVGyJq3CjiiLAwCDkvPpvfWH5beji9OYisE6Gmjc09nSFT3FyvE7ADAnUvl+Bwp8tlgo\n9XlzzS4pu9wP4Nq7/xQAEB6XHIF59n2hlnvjlsm5AIBsmgyfMmo/G2fZr0txz2wOufFsu3LMvPDI\n8GIAwBlpskJzI1zzN+W42O3JM/ZouMhrlZGaFXP38H1ZjuecGJmxJvltS5b16suTZXpmmEzQeJ5x\nYaubGOd79yDjnO61VjplDuTEo0Lut2eELJYuwako52VvDymoqIaLJ/mfNZc9DwD4/sJfwwXHTdUi\nfwn2168L/Dv4yRLDSB0XXkShialgXqYMDAwMqg1V6MZgYGBgYGDwoqMK90fzMnUMGFxBK0xNFy1o\n0RH5HHZzVQTjcjKttLb0rWKX5xr4aj3nEcm9c4hWmsl2WsriA25ZqhaY7KflJFdDq5Hm8YHmpBLG\nwFIGSF2nhfGxzK1ltAAAIABJREFU7fKYGofhCcQm2VOpzpX8bIQPGiMViAdyYrgCbJNDy1VSuisF\nYo6kfiFto6j1WbW0ROXn0mIV6Rcr1igteJNnzXHbJE1MbKdlrFQvPuVzyKBEhZkq9NCKhIL2G+sV\n1hiqhGvRc/JZKaPjxJ6FfNdaMb9PvMaEeZkrh3XTWCRluwIMldOfMX/+LocN89xLr7Vi/tg8Jz7N\n6WdaFDX+zomJ0xxhXtZQLLaW/qYMbUq+h3ltvFdYQs2lJmWGc27Ol+EFvObgJfz7mPsQDICqtLwZ\nGMyE0NrKgpDNoojW0eL+vmOcjMWGIcbIbN/LWKnaZ7lWRcf4RzDQwPXw07OU7aqgvCdKf4UaXhOR\nbUCXsb/p+AUAYEVM44P8eac2Shzowqi7zrUGclNVUvw72dBcVd1FrtdHw3ZpDNUn9r8BALDhd1Sn\nC3VyLJ5/xXfLrtn9hlsAAFtzXLvf9ey7AQD9e7n39S6old/ZTxqvpbm3zn787QCA2oT7/PKDM3mf\nq1JkxAZK7MdvD5/Neg2TkdrSy/FvSvPenbWM7Xqst9MpqyFBlm0kzf3i7h4yjjVR3q9flAyV5ewZ\nY38dSpFVUpZrsuTuh0NZlrWrm7FQsTj7uqOe7Fdzgv2VXsQHqjNXM5aqPsK6pCQPmlf9UWPHFLPC\nZEK39XHOf6GBjNnHmkyo6jGhCvdH8zJlYGBgUE2oUp9wAwMDAwODFxVVuj+al6ljQKZRFHkGJEfF\nAK00jmUebjbkfC0tFKUYr2nZLPmSJH4k0UOLSraNFp/oiMTrRFzmR2NOkn20fNRtE3UgYaQcdsQb\n1wK4MTYBVgIASqrIJuyQZQdif5RRCcZIBcr2HwocywfqI1ZBq45tVTXE0BjbUxoZdU7V+CS7IPFA\nymYpk6OMWkTG4EC/7/vkKvGhXuWOSXyQbUrtlXoc6gEAhPfyHgXJyYRSQLlQ7pk9l9akXTe4Fkor\nxfGc87+8T8NDe6Stct86sSRq3ixlirQdUc+fYIAtcmPN/CygM0aZrO+4w2AVPDFTQSXCSrmogHLV\nxCDz6P2u7FtgboQy7MexTrZZGdTxDp7XuJ3npQ659W4Z5jX9q2gdHL/uQgBA+nY3D8hpiSrcLAwM\nZsJ7lq6veLwjzvWvf9xVjstLrpjeIVkjM/w+ulLXKn685uxnAZQzQ1dtvdb5/2ifsEg1XGPaV3Jt\nr41xrTkoim0rUDkX41OSW2hbzl2bbqxlnQ8Iw9MgORiD+ZtOJtx7kaG6dbS57Jy313Lv03gv7af9\nRdJGjTHua1+97lsAgCtT+WARZVAG7/oFzB/1WF0nAOD9LcxJlZMnnHftvRQA8KE25lXatPa2Sq3w\nfVNfkbduZ74w+0kq3lnnkwkqyrzonuSY9Qy51ze0kQ3qydb4zt03QuZsPMtnnWyWY7VkNr1MMkXu\nxxfUUM2vv1jO8NXF2MfXtz4JALg21QsAiIvy4oMZlrEnx7g8VQjM2+zvx7PuvFCFQsV5krexvY4e\nIF9++FUAgK+P8NpUF9f7iQ5O+uaVvc6161f/2FfWPQfJ0F7VvrqsDacNqnB/NC9TBgYGBlUGqwrd\nGAwMDAwMDF5sVOP+aF6mjgG5Bv93K6heByAvSnGlGC0nsWEyAeEJfmZb+PvwUlqAJlr5pj37KVpH\nwpMucxDp4bHQsCj5FPzqd7bDYKjiXUBlrVL+oUDuJ4e90hxLlfIgee7pxDdNk2/KgcZS1dB6OHgh\nbVO9aySGZpKfHb9xrYKx9Vt5qeSAKolKXykjKonCwoU0X5KUbSXJcMQPSs6InZqICrAHh31lObFG\nBT9LE27xW/8O3sScJdf8IfOi/KDlUee3Z3L0xf7oxj8GADRovJPec0hyWzlMoF/xUHNcAYCVSsq5\nwjjquGlfS9+XysYkkDPMM946N6yAwqMTvyZxT2U5ybSMSjmvnBxaYkEOyZwZ4VhEx4Rlms3jyV6J\nYxgXxaxaly1M7qelrmGH5GqLHp1i1ikJ26pKy5uBwUzQ/DqqZqYoVVDCO3iQln2IYlykgevJjnXf\nOer7rlpKtbZ3zOHaPFUepCC257mnvjrNPEUZX2A795S5U6jkKTQ2aSo1vRMBZaiUhfJi8a/fAwB4\nzXL2/Vc6yOqvlXjttXMfLbvmSPGJ5h38j3y+Zx8ZlfV3URVv681fkzP9McF9HtXBlkDsmebfyuW4\n5ucXci+/aSFVGp8aYAxVS4LnbR3pcK7dYZEVOm8uc37Vx7nn1Aqr1CdjML+N8VZ1Ee67JdmR9+YY\nF7Uyud8pc1aEe1BdiGWsjLGPUyH/eF6RlL0weViOHPb9nvXk1tqU47mqADlPYrhWNTB/+vMh5q6K\nDYpaonRRoZ7PIt0H3YfM9WewrIsSv/+YvapEle6P5mXKwMDAoNpQhZY3AwMDAwODFx1VuD+al6mj\ngHUulWOyi2jBKG7xW2O8VvViQhT3JFZKE5eHJ2h9i4tgXHSU1oaaAzwv2k/WJN/k+paHh2l9cWKi\nAip50PgiZaSCinv66WE0grFRLmMR9n0vY6ACLAk8DFeQ4SmPu+I1o/NZny+/+T8AAIuitCLded0q\n59pv/vQq/vYDiTXattNfb7lXKSP11FxLIbFIHpJbehm4YF4rYVjCDfTZLo2zn8dfxnwYh97Ocf7i\n+f8JAEhYvIeyUQDwZ5veCgCY9wv66Oc7qdYT3UWrlT06KvX0q/dZokpoj7o5NJwx0P7SugdYRFvZ\nuIiwSgGVxCDrCMCJibIn/SylE3cVVFpUNlFjuyIVYrsCrJUlCoqpbeyn5P6k73db4gALta4aYqGe\nFtfYoPxNpcrj+05LBNO/GRi8BDBTPNHkhPu3b43KWqhzvXbmWB4A2JLj+re3v9E5dlkn94cjZaQU\nmmdKUfTkXVSmQXMpTYXjYaRUAS6o/qZQhifI7njxwuXfBgB8f5T9seQBMlU3nPkUAOAfZm+qeN13\nR8jS/GboDOfYW1qeAAB05VnW5zZcDQCIPcvnkS0fEibq5mOXXb3qhx8HANhzuOZfsIKKdh9ofgQA\n8OMYmaJHBrkPdy7sca7tSHN8V9V2AQCeEiXAwSzr1zPCsVjZyAcAzVV1dprnZ0scy8fHFztlqhpf\nX17isOroFfO8xHw7jJTg8SyPK/On8M6TsyVmWuPYnspyX72ijuzhFZfz8+ExKizOj5MN0zxaP9t1\ntlPWp3dTjfGeFXfCQHAc+6NlWf8J4FoAPbZtr6zw+zoAPwewWw79xLbtz85UrnmZMjAwMKgm2KjK\nPBoGBgYGBgYvKo5/f/wOgK8AKM8N4OIh27avneb3MpiXqaNA/2oyEhFhPRL94o+bYDeGsq4FIyY+\ns6E8X6ELacmD0UDLnVWQ3DyRgNW+ntb8iCdnlSWWEFvZoKKfjSmLb6mUAwrwxb2Ux0LJd1Xgm4oV\nyeV8360KuaEcaEySXitqeXMeprXtI2vI6vz0om8C8OdcuOqdXwAA/N9XXwkAeOpHawEAHfeRxcJz\nO33105gkW1UJnbxYnvqJ1dFyGByOSXbNEgDA7us4jq+/iBa9TzVQyehwgf7LUaEXNQs8AMTuFiWi\nCfpgj3TS2te0WWK8cv48VLbGNwUZPngU9rR+yg4Ja1SSvtf4NmWNQqKOWGpmPYteVUmZhzq/rLyw\nX6K8FxI2zhYlRYddzPvnnOWNwwrOnaLEeEmsl6UsnLS5VC/xbJJvKlRw25xroKU6cVhULCXG8HSP\nnLIMM2VwCuH+PrIfyZS7r+XncK1pa+Dac3CA++uSB9/Nc5OSv2dM4o8LXBVSdVxfOlsGnLJWpg+e\nkHqWPP5DQUaqR1iiYP6p48FW2R6GJPfSpQnJWSmKfMpIeWOQFEG2StUHb3zlt33HF/2U8bzXXvg0\nAODf2sk+vauuTz4fds5VtcD/2vcyAJ74tXVH0agKdQPcnFl1ss13Xsg4t8uatgMAHsswjmjrOGOq\nI7IILpF6AsAHW38NABi3OTY9Oe59mw7y2pY69tOiJNXwPtzIWK8HJvnc9antZHl6+2udMkNheRaT\nOJz768gWLWokW/TzJNmwV9VvYf1DGoc98yLdXeT+uj3XCQBIhDjgyqBendocuILz+LmRNufIpgMS\nM7bCf2bz78ge9l88OGM9TjUcz/5o2/ZvLcvqPFF1UZzuzywGBgYGVQfLnvqfgYGBgYHB6Yrfw/74\nMsuynrEs627Lss46kgsMM2VgYGBQbTBufgYGBgYGBuWYfn9ssSzrSc/3W2zbvuUoSn8awALbtscs\ny7oGwM8ALJ3pIvMydRQYJvuLUlRctcSFb2w+gx+TPa4LXDFO0i8yTlcGdQGM9IvggLhPhRN0YXDc\nvkT23Bp2E9g6Af7qKqbHJeGrFfjuuImJ7DVEftuOeJLN6v+7ulkdx00u4Iam7l1aZkAAoiz5K+Am\ngJXEulpvlS8PZXnN7B8w4PO2M+jCd1PD42VFXdv0DD//mJ+b3jUPAPDd9S8HALTfz3o1PEI3u9Lg\nEKQhUgdPAluVf2+lK8PgGrrkLf7wNgDA/Z0PlrcFQNammMSPx0i93/4/lzm/zX+Q/WfXcg7UHPTL\nmrtiEOpaKHL1AXdJ37lO/8l4ax+Li2AoTVdQlYEfO59BuAcv4fXz7ncDuaNDWV+Z+XrON5XoD8dl\nPOdQpljdAEODMv+kTqUaN7BcXVHDGZnb43IPERixVNp9Utz9ZF6WauQ6FVQBEImrOyavjfWJeyRO\nY9g4zTvA4FTDps2dAACrwV33SqPcnw6Ke1Va3Pret/R3AICz4hQNuK3/woplfvM4JL8VKmbxnQHu\nJ3snmpzftvVRTOjGRXSPe1/j09OWtTHrT6J+VozrXjDZsBeazPWrQ3RT+/SOCwAABw/ThWvXlRRp\nquQ2dyTiFACw603f9H0PCmuoSALgSq+/fdVPpy3zWPC6rXTrn5zN8X5vO0UsRovcF+4aoOjCk4e5\nx79yHl305sRcUZGo+HctjXDc2uL8bUEzXd2CIg0/G6cb/p/f8Q4AQMNzsqee6y6wkdnccxIx9suo\npPY4EKHbfEjojk/uexMAwJLvV87nc8P+SY6VJg4GgO4u/j+cZpktDXzuK8lLwB2NdEP83hTPHP/W\n6fb/m0b+EADw4CSfHTQhcGeKY9V38RrW63cbK5Z1ymHm/bHPtu3zj7l42x7x/P8uy7K+ZllWi23b\nfdNdZ16mDAwMDKoMxp3PwMDAwMCgHCdzf7Qsqw1At23btmVZa8FwqPIEbwGYl6mjQPNqSnR2d2ug\nP7uvKITHxGxX3lQHO19Lq1R0VMUhGPgYHqbVvlTDa8KDtI5YY5JQ1iv8MEVyWU2WiniA0VDRBUkC\nW2yk5aqYdANqC2kRL5jDoN/EDmGohmjpcRiUgNy6HZTF9qBMXl3rIcIPWjZaaS2q20Aljx/efQkA\nYOxKVzb3E7MeBACcEWO9nsgsAAAsS5Al+uLlt7HeV9Dy82e3vhcAsPB29q81Wc782GIF3PsGWh8b\nX8GynjxAS9jix24GANTsYduTfcIe5tiOdBfHbN7TroVS/6YtYRije2lNdQQxVHBCpclVIENYskoM\nlVt4QLZe5FaVkcoupzVzrJ39PedRnhcd8TCkIkYRHWLdY5MiIT+R9d1DpfhLEdYrFmWZRZlbOl8A\nINFFK5slc6JYJ8ynsl91tMqp4ERM2LGQpAWwo+7cVsbWKkpbI8a9DYBhpgxOKVg5/l2HDroMd1i3\nkCHuT0ON/O0ruXUAgFVzGIy/tXc2AOCaTspJf372ibPA3zZEr4hHexYCAHqGXJnz/CjX9G91sT4H\n1nJd+1rH+oplrY7HKx6vhH2S6Hd2mNdck6Yc96xFNIp/4sBbjrismRBksILCGtMxZycCyv5d2krR\nqFe+838BAGvj3JM25Vi/tCTYnVPHPljf3QkAuGj2HqesWwfJUqrc+8ebXvB9Kj7fT6+sbzz8SgBA\nzSHu6aMLxbuj0d0jcxnubTrfXrGE9fxw414ALiP03t1/AAAoTfL838UXAQAmc+zPsTF3br/9As4R\nlTy//SDZo95xjsHvnqPo1cLnKdG+ZD6fLd84h3P7UM5N2tuU5DNhKqTMJ++3rpZzZmM3yyh/IjuF\ncXzS6LeBkiotlmUdAPBpSKfatv0NANcD+BPLsgoAJgHcaJepbpXDvEwZGBgYVBGM0ISBgYGBgUE5\njnd/tG37phl+/woonX5UMC9TR4BQmtaEgRF+XrGCvrIbO+jjmxgS+fOkx6qu6uW1tGrkakTWtUeS\n82pYjFjkHVZJ456KnldvYSScxKoqmS2xKdAYlalenuX8sEe6XeNdiiLZPrmc1r94H5kq+4X9/jIC\nTFQlZsUKyKlbgRmvCWJDL1AS1Zbzln6FFqAnnj7POfeSi+nyWkqwH5JdwgLGhUlp5PF4K6026lat\njEuhVdoRdgUro920eMUlrOpwHxmyhodoUWpdzx8ybRxnjXcrJoRdlES8pWh5EsfiiMTCadJHyy+U\n6cSa6bhaFc7Ta7WrNdZME/0GEuqqfP6sx/0S/SOL3ITPepukzK/IGMcrJPNO51CsmzFSxVphmTRv\nsMyTyJDKwQIIq5y/1Eslz3MShzXOMjUB70QH62OLZTTRW87GhcKGkfKhZPrD4KWDew7OwBbNEqv6\nIdd6b8tyFhnnXA8f5HqSKZF531ikJHQ8znVFk6tqzE/Rs999e4TW+S3jvGaswLVndS33mqtqKGt9\nVizpq9bs6IiUxTo01LrxnIlGromHB+ntcPdT3O+X7qDMuyMbPgVUZnxN3N1LDxZZVsZmvG4+yjAM\nfR64KsU95uHVjBH+QNdFACqzYTPFSh3teUeDZf/1JwCA2JA8z8j2V3gV99Clzb3Oue1J9vGSFL1M\nNObnZ+P0EBkqSkLgIUqir2lif20cZAqSfeNuLFJbkmNy7wT34CtT/kTPXxggW3QoJ94vc3h+2zKR\n3x/hc0Fho8v8aAz8E3myk4MLWJ+mCBulcWT/eOFPAAD/vv9S1nuSc6k+yb3xI8sfcMpMh/zxcy9v\noR58U5tI3EvO4DsPrwIAbN9OL5MvPMP5G+mYcK5NiVz+REmZT/bfyxNs0/+VZx1rJ04fVOH+aF6m\nDAwMDKoMJs+UgYGBgYFBOapxfzQvU0cAay4tJk2SEO7PZv8KAPCONzLWJv6vtGT0rnatbtnZtKa1\nPE7zWzgjTICGIMX1OGmIkljxrbjExeRdJkgZh7FO+nP3r+K1sx+jVSa1U2LjBpWekXgnZbmUOchU\nYASGaQGJSDxRrlVYmQStNOHdtJTZw34LkKMwZ02TqixU2XrgXKssjXyv/9V255y6X/KYEyckSoCT\nS6mwlG1k2xIDrHfiebJbtiSM7bmGY5Z1xZmw8Hu0mrX/hFai+t0cv8ikMGY9VARKjYhVSJMia/yT\nMEOhtMv86P1CEjNVyvgtUqpk56gflgJxUBX6yGGxVFkxkPwYUp/wEC1nublsZCkqjFXGm6iYH6ou\naYfYX8qthTUWTpSnwqPCQGni55J/jHgS+yHfKvF/wl6VEiw1JAmBS8LoJbtZZnhE4gTTbmyBHWCk\nHDXBlMRwTUzgtINx8zN4iSC08gz53/TM1AtXMJHsqi98wDmW6OckH2M4LAopmfTijVAqaiwP15dH\n+sg6fDRHS3xtxGXLH+7mb70b6WFRJyE0jy5hipjHL+kEANzayb07LPvWQ4NLfPVc27rP+b/G8Fy3\njElufzPOtn5jI5mJhXf+EQDgFaueBwB8d8FvfWUpo7HVs+2GZUHuCHOvrpf1v7vI+gzIZ02Y9+6V\npLTv2LMOANAl6nQA8L75TLarLMhrUyzzZMdAAUD6TO6VhRLrO7ue9+6QOiTD7vPCvASTK+eFitQY\nqqLNcbyrj+yMqubp5wVN3NMnSm4semeCTN6Do8xg2xF5DIDLON7cQK+hhzMSHxbi3PnptnMAuDHL\nSJUvsNY467dzJ1V7bwsznu7ttXcDcBPtXrP8RwCAZyVWKiMJhJVxA9wExe94gUmCz6xjfPhAgfX6\n9CzG/2lclibkvX2MffLfh17mlNUY5x64MqYKzyyjJsTnzZ1vZduXPlLWpFMTVbo/mpcpAwMDg2pD\nFVreDAwMDAwMXnRU4f5oXqaOAEPn0r+5fyOtGm998P8AAHL1fD3OXcTjbetda0zyIFkDjb+ZaKX1\novccf7xNzQFVjKO1PjJpy3d3tmSaOEx/8XffAwC8LkUf5C3vpsnr/X/1ZwCAJknTZE2IxU7YhEwb\nfY5FCA+Ay1LZKd4330TrRryb9Z6YLyp/2Vksc4ysnOafsjWwp+RlQQIxP1PAUtUjyX+FyUzZOaE6\nWuTsCVqxNN4qsYdWrnivXCv1Kc6iD3Qpyb4aPpNtjze5PvATSzmOqRekjAFheERJ0VYWRnNVKbSN\nyu7ks+W/KWslTNpUebgqMVEKV/3Q9l2r7JwTKycxW5o3LCRsTrSPYxc/5JZ56AqO3+XvoXX1oS9T\nDal5I/tFVfwKNcIq5TX+SXJGFTS2yy0zPML2R4RpUjbJjgibJbFeky0ss+c8jndIrHJtj7kTJNEt\n9WhmPTJNvKZO8q1hu1+l6XRBNVreDAyC2PaxmplP8mDzx75WduyijdcDAHq3c31OP08mQkgFZEXl\nb1eErMz2esaXWCl3bY0c4hrT8QD3YI13bdzOtWhLH1mlm6/n2vXZOfcAAFbXMaZqwyNMIrnhbPcP\n71VzyDitFW+RtXFRjrucnwt//n4AwENbee0WKTMYl7Ui5noyIMc1OiYuKi1h9l/UknXQZr2HCrxm\n6yCZtk8t+V8E8Y2D6wAAV7aQ5bh9jPW8sXaw7NwThS8PkkZ822LuJ7/rJ7PXWUMWTuObFje4MVPn\nJvcAAB4dp8LengLP6S+y7fVR7iPLaqhoF5a+qQnz+NnRQPw2gK4sy1ginh9PSezvggjH/2eDjL9+\nYYRzKhxhmT+44N8BALWWO3de9/W/AAC0/Jbn9JzLflx94YGKfaCM0EWOI1L5k72ec0ULmbJzkmSg\nSvY0njwArqvhs911S++p8Gvl2Lddb/kGAOCqP109bdmnEqpxfzQvUwYGBgbVhircLAwMDAwMDF50\nVOH+aF6mjgA1+2g1qt0jjIFY3iNDZDTyrbSwDCx3Y6Z6z5UM2EK6xEZ4bd1eUaEbouU93s0yVFXP\nse57ULeDvrLffNO1AICvS26q/pW0VHz+s7cAAD761T8GADS8IApsk6KEd0hYpazLnOWb0777Rcbk\nN4kTivdLLJBcYwfYEoeF8ubDEv9p/c3JSSX5sJxcS3LcUkaqAlujjJRTljJjUj9rSFiiubTc5cV6\nqQxK6yO8ZyTjWnOSXWSc8pJby8lxNMz+tRtEFUdYMHt4xF+/vDi/e9k4VS7Ueiu75agxThEbpf3m\nLUvOVYVEJ1+Xxk5pfNO45CQTZi88KkyZzEuNvwOAlo08d+uNnQCAJsnh4Y3JA4BME+81Pkf8wJt5\nz5KQYqraBACNO2h5TR/gGCmb5Z1fAJDqYTtq9ku+s1fTYtqz3F127K3828nXyPwSZaX0fo8193RD\nlfqEGxgEsfvqb1U8fsOuKwAAlzUxDvaDDeXsgmL96h/zPzMY1l+/42oAwOExidUMuYzAm89jzNYF\nb9kNAPjaIeYX2nzvcgBAx0Pca57IMnbm0nYq8xVrWcbKC3ndT5fc5ZQZni4eGECqVfYkWRqDjFQl\nhOUPuwj/fvBwRp4X5Cnx7DT766w08xY+nyUbNzvqek38y4KfAgB2FcjYXZHkmv64rMOdEa6/rSdA\nzU9zVX1jG3NCpkVh7owmKvRpjJcyMc3hMedarfvWMcYijRXjvmsaov642IxsOspMtUddpi1hsW0h\nYa80Z9Z5Thgu9z5VP7why3m4vJXXPZ2ZDwB4d12PU+azHyFbmrfZf+/Zy2veVP+Ur8xjgRMT5eDE\n+6fdP3nyY+SqClW6P5qXKQMDA4NqQxX6hBsYGBgYGLzoqML90bxMTYPIPOY5yKlK2mFhMOLstkKT\nWHwkZ8/s3w04144vorVoaAnPHRXFIkvUZJI9tKg05ckuxA+SMVDFOGUhAPiV1ACEhalo3MFz//bj\n7wMAJGp5fHQu71lziJaWYpzW/5417nCnD/DcWU+IKk8d65FbSGU4zUmlFoBQSqxuwhCpKo7lYabs\nksQJaU4qzZOkrIzlV4hzFO3CYvnx5rJycmtF/X2gjJjcP9TPfkt0S9+LKuHkLFrDxme71sX0folL\nG5z0XWs3cayscWHDCv54MG8uLQCwEp5M91pnVR0UH+6Ssm4lVeIL++svZXv7z/m/k+RJ5oKo+zkK\ne8JIaQ6tYlpyfinL2DPilHn4NVQ1zDWQ6WkXC21MVBytIstqfJwWxroWWn1HO3l+/0oZwzXDTpn1\nr+Kc6R4TRnY/49UaN/F73V7/fFVKfrSXvze1uWUNdsr4jvAzMiJ52ZpYr2O3Cb50YeH4pF8ty7oa\nwJcAhAF8y7btz01x3vUAfgTgAtu2nzz2OxoY+NES5z7x5WfXAQBuiXFNeGbtbcdc5lcWksG6ZYBK\nZ4mQy4S/PLUDAHBxguvHukX384eb9fNI7zI1G6WxXT2Si9EKyf5Q4DWf6Ca1dmXdZgAuU+TFsmhl\nlmhNjCp1+4W1CcW4AORl3xgq8rpOyUsFAJtzVLZdP7ZE7rcJgBvjdf8k19BxyU/0+vSxK6O+Ycs7\nAQCtdWSc6mPcR17VyHitdak9AIDeIlfshyaWOddGLfZD7yTXf1UA/FD7rwEAXRJDtXGcrNG6uq2+\ney+KuCzX01m2+aJElxxhmS/kec7iqD+Gry3BvfD+vazP/991DQDg3RVyhKkK4vc6H5QjbMtVW+kR\ndM+KO8uuqQZ84h8Zuxe9SbyfbivPSXYq4Xj3x5OF6XlsAwMDA4PfL2w3y3ulf9PBsqwwgK8CeA2A\nMwHcZFnWmRXOqwXwEQCPnfgGGBgYGBgYnAQcx/54MmGYqWlg19I6H54IKLJNiJrZpDAW6jQdcVmG\n9HYyJemFP8gKAAAgAElEQVRdPKa5okKTed81k/No5RpeSUaoZi+tR+HBcfeGykhoxndhTgbOoOVp\n4Fx+jwghoTmtkv28R3ovrTYLDrl+2qFxibMRhiQs9VJ2Q+PCHGjOJY2D0lxWJU/f2H5zgRVRFTrL\nd6+ydimSbsyZMj4aO6WMD5Sl0b5QBk+vFQYrn+I9h1e49avfLb7ah8XvXMq0NP+WtjHvjxOzYsKP\nKHPkjX+KSByYMlH2FH/N2jdBP3xPn7kMVMTfNv1dmChLxsYOaT4x1qsoeZ3CHuas9UnOo77VnMsa\nJ2an2V+ZVmHr0px/sWH2RbJX/O7v4PfSfS5HtP31tCBufOu/AgBqzmNZZ81+OwCga4dkmW+Svpc5\nEj/I+ZC4z03+tcSJu+L9iin9OwmwW6cbjt3ythbATtu2dwGAZVnfB/AGAM8Fzvs7AP8E4M+P+U4G\nBlPgs21khN7YyLgTjZv554HFzjlrROWtNsS1c2OG7hvvqWO80FZZE9744AcBANEurkGF+Tx/aYcb\n9/LLg7QXtKboPfKjxVRDmynu6UjwiwlZ35ooh1sUZmVwRHLhlbgez4lxXzknpp4BZJOKnjU+WB+N\nd9mRZWzXqgTbvjrOsjZLTq2hIu91x/Aa59q1aaoK3tzMBEPfGWGurYYwnyFWxVjf9dKvf93Dvv/7\n1s1H2nR8/PC5AIDmJMucm5JcjVK/TmHUnss1s74ZevNsH29zytgpinorGuj9MFbgOGp+po4IPR1e\n3sz4olHb/1ia8DyLDIgC4EOT9JTRXF5BRkrzPLVKbqaQsIiFLPv7A10XOedqfFUQykjteZT5KJds\nIL1ZbOTeFBplPVesZr3vXHZ3xXJONv7iL/4HAPDbYSpW7jh28velA8NMGRgYGBjMhBksby2WZT3p\n+fd+z6UdALzR/gfkmFu2ZZ0LYJ5t29Xpt2JgYGBgYDAFDDP1EoM1TEYn1844kpjk3NF4ptCwsEeq\n/uZhJVRprRQV61WCVph8A49bEmeVOMwyUtvFn1nzKnnLkrxCymbZ4hPdtI3Wl5ZnhJnSWBknvkh8\nuutoISs0ugppykCFJVdQaFRiaYSh0vxDoSEPQwZPjigt2xNP5ORJUtaqkPd9L1On0+tU3a9Y7mOu\nbAz0vnqPQs5/rbKCwjbV75YxCbksTbJL+kcYKIf90r7Oqiqe1DchbFfJHwPmr6C2dQYmRe+h4WPa\nFwWPAp7GSCkDFrifXQwoBeo8zAaY05ynTMl30foELXThw7QCjp7H5+tED9scPSSKSTKXld0qtDKe\nLHpYs68Dc3/FPj5//KM8cAb/TvI5Hn/hXV/31efWUVot//XzNwAA6p9x/f77LmIerJKsRLOeYjyV\n/m0VoxIPlvfHrZ3SsDGT5a3Ptu3zp/itUiIzZzGxLCsE4IsA3n2MtTMwmBH/2k/L/ytrSYiWq5oB\ntwyTrbqrZxUA4IUBrhOfH+Pao3G5ra1cE9acxbw/l9Yx/9MuiZ8BgAOSd2hhkvmNZmKkVPFuf573\n/Nq+dQCA3QdmOeeEY1z3X7+csUh/2vYrAMBzjYxD/dTTrwcALF5ABmhdivX6huQ4ao1yv3lb7S6n\nzBrL430BN65qVYyqh0Pyd68KfPr7FUnaRzbldjjXjpa4Nq7PcC1/fJTM1MV1PGeOxCKfEWPiQY2d\n0lxRlcZEsVH2wvPSe9g2iWO6LEFGam+BS8pdYysBAKkQ1+ceYdJCFYJaVJlQURvS3Fpc/NPi8ZGR\n/W1XgR4MZ8fcPJQ5OVeZuh+Oce87S1g4VVRMWmz7cEGUZ+OsX6GGe6syp4Q/jq1HlAt3P05GqtjJ\n+7/n7EcBAGtTZAT/Ze9VAIAtu9j/t85pdspQxuxYoXUAgMv+/eMAAFseCz54/S8AuOOn6ocfbWWb\nPoBLjuveVY+Z98cXBeZlysDAwKDKcBwWtgMA5nm+zwVw0PO9FsBKAA+Ku2gbgDssy3q9EaEwMDAw\nMKh2GGn0lxhG1vKZZHA5TQJt68XvNsXvqYzkPJLs28i4FhSNobFE/S46SKtQVH9XJkNYhJIyLMpG\nRD1D48RkSYyPsDPRPrJZqsRXaKVVKDwg+S8mpA6iUhfxMBb5OVRgC2leK4m7KdSynuGM1G/EVdLh\nBcLE5CowBcG4IGV4NDZJmbUKrBYAIObRblOWKpDHSe/hsEZBpTtBfA8tQ83jdW7VNTYqWLbGJkmZ\nto6nMlU6FhpTVYFBK6v3VHDU/aROKZcttGpoIVNWU1mikuSVgqN+KGMgCoLZFlrfNN9TxBO7l6/l\nOeGYMJF9MncPSiya5oYSNlPjxXSsIn2iYBl2+1fzls27T+Ktfij9kmCrLrz3TwAAPet4vGkWLbS1\nhySera3WKSs6wTpHx/mZbWV/xMKiIiiql6ULVvD7I8/gdMBxqBU9AWCpZVkLAXQBuBHA2/RH27aH\nAbQ497GsBwH8uXmRMjiRuPXJCwEA25YzD+Dh1g0AgKtS+5xz3l9/0PcZhOY2agnkSdIYppKHhF2R\nIvtyeXqbHOGaePsY1///78k3AwCKsg+n5nBfu3w+GaEldWS0kp3uHrllG/f//ZNkvX4zzrimH+wn\n85ROcX1+11wyFg9O8Pdtkk/phg7Gi+XtSmQxoQzQnaMsc1mC7VgWHa54/tkxl9nSWKz7S5LvssS1\nXZmKH4+R+ds2yc9D2Xq5TuozDTO1WjxB9ojnRG+B/fjtYY7nmiTzcr2jjuvxD0bJUHXE6eHw2np3\nnJtaWb+2MPcvN++V7ilsR5+K6Mq4pi3uw5/sPtsp67H+TgDA4ATH96I5bMMZsxiPNVjkve6ZIFu0\ne5xsUfcBjmG0lmUG55QXWr/4GRyDqNQ7L9SQqkiuaDjs+9QcWCcClz7qyk/ace6r+Tr20789wxxq\nW5dyrt/Q9DgA4C2fI4M1C4+esHpUK4yan4GBgYHBzLCn+TfdZbZdAPAhAPcA2Argh7Ztb7Es67OW\nZb3+ZFbZwMDAwMDgpOMY98eTCcNMGRgYGFQRjjeQ1rbtuwDcFTj2qSnOXXfsdzIwMDAwMPj94cUW\nmpgK5mVqGkQmSO/O2sDP8IS45EU0qWqA2It7krlqUlZ1uVI3NHGjgrgBlrmMqatbyHXVclzZxK3L\nlkBNFZFQqe5wtwgsDEkyWnUlVHe2hOsioIlrIe5UJUlErJM03CdlqGug3MORO9fEu966qzhEwN3P\ncecLJqEVuMIKbl9YmrRXoW3x9gtQLpEuZam7WnjMHRN1e7SDLpWhgIiESp/H/MHCtrrbhQN1gEc+\nXUUtxEVvKjgCFB7XS0vdCrWsaKAPtM/VDVFc80I5ce/T+Zl0ryskJZHvmErfiytIC9uWPCjufeqi\nquIl6n6o/et1o5R6RES8ZHwJXUCK4kpYv4P91LSJ9zx8Mb3KoiKu4sw9ADUi1R6akADhRrpvZNp4\n/3Q33VHv/NG3AQDXdLjSwKcyqtGNwcBgJnx1SML1wlw3cqIsszpO8Yjp3KuC0HPV3W9Y9pc9Od5j\nolie0vsFEZSYHabb3v3DFMJQSezZC+n+/cmltDUEE9l+Y8gVvuyb4P3ro1znHhpkcty+ER6/aTnd\n+FRs4KtDXLOGclzDDhboztwQc8V7ghixuT/9dQtdtlR4YEuOa6kKKihU8hsAakRc6MoU19kJmy53\nz0wwdUVvjvcfl35S977wUTyJjkhS983jlDzvEEn0sOz890xQ9GLzKH//j/kPVyglUeFYOXS8W2R7\nfSrLtn6sxXVb+3KI+8WvDtGlcpeIGw2IYNa8MN03L1PBjhrOlWdqWL+FrTMLQ3x/lC6BkzvpFpnp\n4H51VpJzWJMIF8Stcm0tBSlGS247vzzIMrZOUKzk/nsoMR/OcAwKK1nG9ku/W7EO1y/b6Pz/VzVs\n66vaKXDy890UbLl7M10rL76YgiNt94l0/4wtfOmjGvdH8zJlYGBgUG2oQsubgYGBgYHBi44q3B/N\ny9Q0SO5i4t1iIy0m+TpaeEIiax6UIPcxLsp2iIy5ikYgmBBWWQ7nU0Qb4uVWN4clEAYsNDLhP65Q\nhkXvqYllU67lxNJrcrRjFJtoAbNE8tQeV+ZK2iEJip12BBPuVqqnLTaSkJ+RcpgoZbuietxjU8nL\nb54EtDxJTRJyf2FJSvVkRywVBSmIcIG3nsIWOVLzMb/kvCNEEZCid2Tgg+3zXqv9pG2wpzed2I6Y\nRNhzTK4RJk/r6ZRd8jNiyrRFRyWxbtQvJgIAYx2SyDfLsmJdvEeiVwQoJoMiIH7mEXYgYTTcJMEq\nT5reLYkRh0SsRJJKaxLr1qc4vuFh3rOUcue2MlKWpB2IDLFNmSaOZ3YJA55fd86r5Yrjk5x9ScCu\nTsubgcFM+O89FJ4IxziB56coSBBkWI4GPxhlMtJ9WbIQQ3mWtam/3TnnlW20zrtME/dsTch6US+Z\nifo415fLkrqOsCwVLtg07gphXj6H4hSvrSdL8P4N7wQA5Ca5Rv5J0xO+e32wgWzIUpHpXpcs+X4H\ngEMFrpFzIkwyOyvE+/5ygkxGV57iFdfX7vb1wX8M8/jral5wjvnT1AJvTLPs9ggZqu/1v5xty5K1\n2byP/dXUKLLb81EGZQG/0PcyAMC2Ua6/yjBeUMN6dRVY350Z/j5aCOzTRwEV4Vgd95fRFFKxCLel\n56V4/95msm47RihlP1RiGxvD/oVTpd0faFwKAOibSGEmnBmnCAiEkapJc84MFTmOd46RKTpfxuhd\ndUz1oWMLAB/dz/DULT0ct1wH27JoHhnTd86tnChYsWnYZUhbUiJiZnFffcVcSu3fLcIc//Ds1QCA\n/B9yz1z4Sf/cOeVwnPujZVn/CeBaAD22ba+s8LsF4EsArgEwAeDdtm0/PVO5RoDCwMDAoNpQhQG2\nBgYGBgYGLzqOb3/8DoCrp/n9NQCWyr/3A/j6NOc6MMzUdFD2SMNyxPJfqCEbER2UBLwqKz3p+jM7\nrJCT0FdepR3WSL4H429UVtwbjyVlOfLUtv+7sgvWpEhpS32U9VCGo+Rhuxw5d2EPShI7lThAn2hI\nklRlS5Q9cuo3XZLaAKOjCCa2tSSpoBNT5U20qAyPw64F4qx0bJRFCgX6Tcck7vZvSGORtO+1nsoI\nab9m/WxNMPYsUBF+FAOmEm2LPYUHs86HkKddUq+gNLrT9mBsWTBezBIWqt/10U/20RKXaRJJdJWp\nz0sZOq46x0QK12ERayTpdMq1GiozFTlA667GktlB2XqZb1ZWGUph2DxzW2Pz9LdSnFbIkDCk+RrW\nI+r92zoNYJgpg5cSJkpcM8ez/Jsv9fPzyV4yPbfUkLWZSga9EpQlCQsFPpAjMzBeYNnZvLt2tkQD\nKTwEW3JkF9bMYrxLbYTrSH3Iz5TdN8nYlmzRLfNjbYzVeUYS0U6McF1btYjJZ1sD8V8ab6WxM2fE\nyBC1hNx9VxkpxYoY19eBksaRkvF5LMN77smTeXljzY6ye+Zlb4la/n1prXjD7KrdyfoUaHwvFeT5\npTi1DV3jlmrC3HsKIgfemaaXTltkWO7BfryuRtZvyZ+sY7a34MbtnhfwsglK3i+JVn4CXhgNcm/A\nGTEyO3/XTVptlrBxO7JkyJD2zwOVM9c4sVxh5kdelZ9vaWBZw+OS+DfEPnl5gnLsE1L27WO89496\nL3fKeHIv67dmPuf9vPlkaP901m8BAKOOl4l/Hv5ygvvsUMY9/s3lt/rO+RthvRDn+E8M89yONd0z\ntu1UwfHsj7Zt/9ayrM5pTnkDgO/afMhcb1lWg2VZc2zbPjRdueZlysDAwKDKUI1qRQYGBgYGBi82\nZtgfWyzL8uZNvMW27VuOovgOAPs93w/IMfMydaywJV4n20xLRWxEEtidQ2vSaDuVxhpe4PfUc4fd\ni5UtUAU2Da8KMBhOjI3G0DhKeB6LRdRvebLFiu8o3vWTTSqJWprDWAiTUmptlHt4ZqCco/ErYUn4\namli2lKA9VCWQf2aR8f89Z8GTtJeTTocDbBM+YCKnu/HQHyVo7wnqnmTbHNoOOxrl6rW5evdOLGQ\nJCK2RsRnPBRgsZSBCiYfDlapAivnxFvpd1Xrs/2slxNjFYn6zvOdo8yYnit9XsaYyVg57M4sqg8V\nZrlJcRuepiUvM59ztVQnCX4lVsmOcSxCKZlvMq7KhtlJsSpGPGzSbs5zZ75pm5WRkr+bUh3/Lopp\ntjU0JmPlnc9BRs9pnHzIVLGz06sjnlKw4cSjGRi8FJAS9uWtixlacOtGWunHukhZfG7X6wAAq1/7\nFecaZVCmQrcwKK9I7fR9/nqcMVRbetucc+/pPhMAMFAg27FxiDFSauF/6zwq710oZQC8t7Ik/7H/\nWgDAtW2bnTKVOflqlzAOJa7HdaLud+8Ey1gjCnfdea6/z0i8ywWS2HZ+cuo/ZmWXbpP4pj3jTQCA\nkDwtLqphPM4VKcZvtXqWziAjFcSNtWRDLk/9EgDwvizbEwtN41UimC1Jg7PC5GRL/j07LHvTsDBq\nyvTpmK2OTf1oGVR0VFXCI0Gt9EuzxBHVxTgWOyc4zwbrOX6NYe492gfFhb8BAPz73lcAAM594kan\nzA0XfL/ivS6ezdike/dxvv28dzUAINPMcb/9MJVlX+ihWm1u2PXeWHc21RnnJ8nofWbWFm0tACBr\nV07we36c5zck3L01ITTMbPHkqY1yL9S4xOIY+zoZPXFJg6saM++PfbZtn38cd6iUZXtG86Z5mTIw\nMDCoIlgwbn4GBgYGBgZB/B72xwMA5nm+zwUwo3+yeZmaBiNn0prfs4YvqvN+xRGs20fLzuhcWoaK\niSNQtitVZnCcnEfKZChLMzbunOMwOspUSGyUrexQMI+TMFZWA/2uS04+Kve+pRQtJBr/Ej1IS5Q9\nIsyEMkHxlNRBrGARzY+U89WNx/L+NocCbdIcTHKeqtQ5jFTJ8/IvMVxOzJYyYEH1PI39CcQXFVtp\nJTx8oWstanmW9al5mjFFdpK/ucqGUn9lizT2TFkaabPTHgCW5vzSvg/UD+JXbQfinDQ2yaf6p3NA\n81lp7JT2tZMXK2A4kX4Ld9NCGqpxWU1b5kJiH38rtEhM0pDcX8bfrhf/dMk35dRhkNdZHgYyyIxa\nyaSvvtqvxRR/j4xKLF8DLZKhsWnin3TcZQgKiUAOsNMEVlCh08DgJQDNl/Rfy5nfCdtk/xB11oGi\nNw7myNjmciVA3mNrxxzniOZ22jdJL4xCievGhxY+AMBlKJSRUnx14ALWRGKlNo66z1A3Di0GAOzo\nZ9zSBcvJNP1J268BABc7+z7XtQVxskj3T1Lt7Uwnv1R5bq3dee6z900sA+DmKrq2kcqBKYnP+e0Y\nWZGv9V0KAFhTs9cp46wYn++CKnhBRMXQvq6Z7Jaqwk2HxbEeAMD+QfFokDK21HZIGaxHu8RW/WqC\nzxpnxMiohKfw6jheaMzZFxf9CABw5xhzLl2W5pxQRioIzQV2zYr/AQD8Q+/Fzm837LoCAPDDRff7\nrvmXOWRZrxqiCmJ/huN4ubCb710unkgcbodlBICdednzHJLDP4fjVmVW9l073wIAaEm4sV8aO6Ys\nYL8wjKWC5A0b5WZ5+G7O3Xafh9qpiZO8P94B4EOWZX0fwIUAhmeKlwLMy5SBgYFBdcFIoxsYGBgY\nGJTj+KXRbwOwDoytOgDg0xAri23b3wBwFyiLvhOURn/PkZRrXqamQVHTEY2IBSAjzIpYzxu383u8\nS1idCTebuqPs57AJYs2X7/pe7TA7Rb/imcOSAChpWYG4GwTjlfQewhRoXilLYqUK9a4FqyjKhLFh\nYT3GJnz1cpBX1b+kv15aT8vLkgR8doNsnPj8KrPisHKqshfzxtIErhWGyg77a+io+Wk/CiNUqGWZ\nk2e4LMjQJPujZqOqykndExIP5qgyao6tsL8uwdxggMMsWYFxVvYqyEi5zJowQh42LhTXNkj5uUB/\naqxZKOArHyx7wm2zcx/N5SX9k++gxTG2nxbbksyVUIqWPYd51Lg873goWyhxdHYdLWelWpZRknaE\nx0QRqpbzThkq9A64ZSnrl0jJuSyz/ywer9l/mjI0p2mzDU4NhCNcL7KLuRYtaCczsC3rsklXp/b4\nrtE4kiezXLP258kI/HiY1yxJUK1sqMi1YqzgqsQtSpMVmh2V+FESJVgVV+8cPzPwlMSfbhiiNT8e\n5nq9ocfN7zM2zvWsoY5745fm/xxAuSKf4snRhQCA+cKCBdX+vOgtcU1si5D5XyVM0I48mbUJ+f18\nyav0vR7mfbo7u8opY6iB/TBUorrguilis4qymLRHWa+cPX2slbesuhTHbzjDvtg0NlfqzWee0RL7\ntTbEPXNcgly9MUFTsTBBqCLkVrm0X/I6XZkqjwVSFcQVTZp3i/cIxnAFoczVO5sedY5tTnPMvzPC\nuKt31/X4rrl12Q8AAB/YSxW9zTmetzA64TvPG8Om9dOYvO+OMK7qoWHSWPvGOM6vmEWW63vbyJA2\n1LD+dy2/q6zud4/z72FHD5nS9GbxBJHbNj93msRMAce1P9q2fdMMv9sAPni05ZqXKQMDA4Mqg2Gm\nDAwMDAwMylGN+6N5mZoGtXtplak5SGt+KEdrW0Is7Na4MADDfgU0AAg10vJvp4UlElU0a1hioSQm\nKqjQ5uYt8jIBwogpM2IFYmY0XifsV7pTZqPQyDooGwUAsX7WPTwo8UN5fwyPE6ukTJrmElLVQWUs\nPMyKEz80lUCbo1ioinYBVb+c2xdOG/VTY5A0dkaPO3mm/DmjcvUse26ba2U6PJvqT7aoSIV0LJT1\n0rEI5LiaVrHQyQsWZIsCKn7OcSlTyg4lXLbQ0v8H8nQ5MUk6D4QJcnKFaQyXxrNF3LrYabFeibpS\npoXzsG8Vz+n4Le+lrFFhDi1mkR5hW8cDLJ23TcpMydzOzGY9B5eyfxuf52dqD62v9j6xEic96k06\nB2Q+2TKOqcOi2rSe1uiZvfxPIdhGGt3gpYlPdp8NADi7nX/rLXGusTc2rwcA7BKrPuDmZdowxpw8\nz/Txe1uae9LcFNeNS+q2++6headmxdy4kjkxnrtOVO+WRbkmRUUVd6wke7kox2nuo5WS9+onO88B\nAORz7p60uI1KqG9rf4z3mIKRUvytxFIF1eoqYWmE+20MZIsaxKMhyMLcPkaKbU3dPgDAmYku5zdl\nmFZKbNb9k3KufFcWRuuzSNivlU5eJ3/+p0r4w4WPAAAmSjz3zHiXr549wrw8l6OC7MbMAjnfVTZe\nJGzh/Bn6TxUC50W4r50Xn5lpUTbrn/uptPfpWc/NeA0APOdhSFWlTxUU3133a9+52n9jee7Pf7Hh\nOgDA+qXMI/bpVipFVmLgNCbvkb5FAIDtO3nf9C6e++02Mn01C7nf/nDld+TK8r5SRrZW2MJBiX9u\nWEnWt+Y1HPd8Oal1aqFK90fzMmVgYGBQRTBqfgYGBgYGBuWo1v3RvExNg+ggrfL5JloEQhNTWEpE\nCa1U7yrJZFr5/1w9rUfxQbIHyYIwPsomBBTk3FxHXmU7YZ4cZUBhUpS5UMZCTreELbFGaTWKitU/\n7Mn9EMoIq6HshsP4yLWJgNVKY6cKwqxoPiqvylvJH7tTxspo/QLqQ06bvWp+en9tq6obal9oDJDW\nV+8lTEc4y+v29zY4RdZ0S71GlRUUVcR8QCnOyT+lbVS2Tpg1D0vjKNrp+KniX0B9MNgXTu4tb19I\nLJTGIjnXBJggJyZK2TpldRx1RJeBzDVzHsZ62Ob+lbxHpl3i1SSeLtcoMVMyvhFlJrVsb/yWxoMJ\nW2mJkmK6m7FQ6adkjsjc0hg0Zd4cpg1w2DQIm1oS9jQ6IW0eHMbpCKtUhaY3A4MZcF56DwDgUJZq\nqk1Rrjv3jjDW58HDS51zu/Y2AwAiQ1wLCw1cV9KLuW6kI1xXXCU+Bb8/JXmcAGBLlvEkRWj+I66R\nyipMlcvoXY1kzJ5rpdfCQMZllVoSrHvenv4xSVmv+iPIl7SvQDZth+Skmhcha3NQ8jM1BhwcrquR\nGDDwU5kgAPjsYea/OlxD9bb31PEzavkV7Q7IPc+UPSd1FHmdVieo2pe2ODYLIuoVwzI0LmyXxf2h\nVdqTsNz9YiZG6v5JNnppdOyIzvdC85udK/F3n+llvrGZGKqQ52l8wz7Gze1Y951pr9lxiKxqMcf6\nXlxLFnS6mDDN13VBM/txddMBAED0Qu53IwX245sbyW5N13ZlJcczbHOhnmXcfc63AQBv3PJOAJW0\nI089VOP+aF6mDAwMDKoJNowAhYGBgYGBQRBVuj+al6lpUEqwe6I9EleUECu95G2yE7QBFOW8UtzD\nWChRMlnyfVcFOSfmSJkJYUkQyFcEwFW/EwbAiWcKV47X8cYeAQC6qXQU8p6n8UDB/D0ae6QxP/J7\nJSbKWw7rozmVtCLTR7pYjjqdnwnytcGpp+am8jN4yopA443EVz79HP3Dl36pzm3aIFMFOPm5lGkK\nxKA5fTJVrJQ3KEzV+7Sfgv05Uz4Eb1lahioEajyRo/goDFkwx5eq+EneCdvDKkZHJL5P6tH6FPsx\ncTfZolJM46xYlqr76Vxzqpnx5IZStlDV+bQfdS4HlCuteo6BpXmoou6yY2mMWwcttXvexOMLb5fx\nTRy5FfVUwhGkgjEwqDocFDW6UYkvubt3BQBgMss1KZvxWPFl2S+mZA2UZXhwgsz11ijZojtqyLS8\nPk0mXJmWLdlOp6jtGcaiXJQkAxCMWyrKmjooam9R8WgIy1PZ9xb9AgBwqOjunV2SE2tpRGOz/KyB\nlqlqeV41Ny+UeQGAB0apyrc2TRW6lDwYNAVjbqdAxrOffKXjscCvLOOQ9M9Aid/b5TlhKnZuOqyN\n63hNr8h3niz9YyXuu1Ple6qESxLcW3bmj6wPKkHnxhmxJ+TI9PxMa3jU+f8FC/ZOcyZw1dZrAbiM\n1GVnkJF6rcQuqWKfd87dO8H+0ji1mxvcWLejhZb//idvBgDU3Ce5Iq8Z9t33rfPIbt2JxmO+10sF\n1f7eXPUAACAASURBVLg/mpcpAwMDgypDNQbYGhgYGBgYvNioxv3RvEwZGBgYVBPs6vQJNzAwMDAw\neFFRpfujeZmaBsWkSGhPqmy4uJxFSfeqW18hoa5SrrtYSf4fzopIhAT250UQwBK58kg/P0MiKuCU\n4An410B/RZl7n0dwwAvHHUzdqrwuaCrprS5ajXSzchL9DjKQtDjs0uG8lz/prFdWpeR1BfNVOOBG\npy6DAZc4r1R6SAUmHNdGfxtVPMLSJLPq+hgRF7QR1tvq6XOv0fELCk5o0l65vyPoEXCX1Fbovfz1\n0+S8AUn0KQQoHPELT5sdafSAayWigT9TTXSb9bvilQmVAAiJO2luFl0BSlHWZ2Iu+y3RwzJSWw/7\n2hN081TXPhYqqQJqWKabdDnqa7NKtNs1kh5AxFcQccdSaxoZY1vbf8Uyelfz2sYk5ZJrZDyLIyM4\nLVB9e4WBwYzQxLCjOe4jQ0Oy7oyLUE/O3QtCRf6/lJB1IcRJP3ig3vf5VwNvBAB8bxbTJOSKXP+8\nIgJXz9oCAJgbruyOFpb9Tl2iNsrauUTWQxUyiJfcNb+3QPfkS6fwjtMy6y1/gtjtebpl7S/UlV3z\n962bA0eOXGwBAFpCU8uZP57lGnrH8MumuFdlDBbd54shWednhSVp+hG6BqqL49G49+l9/3ec0viL\nxSVuS46umGfFKifenQ7LohxfdXWcSs5+SdTdRzpTlBZfuf7tAIDxbnHXk6k6ez6FlX502dcBACuc\nKcax0DlV9LjsV0o07IXW7/k858jXDr2SZUkqARVuAYCVSYpWbLvkv3ngksplfriR7oqng5tfNe6P\n5mXKwMDAoIpg2XZVWt4MDAwMDAxeTFTr/mhepqbBZBuZAluT3cr4jc+hRSI2JmyIyoWHPMyUWLwy\nDbTYqOR0OCcMVZplJhpp5kgeZpnhAVokrIlJtyJSbqhB2CMJyHWk2MUgEu6V5KhixdfpZgdkrlkB\nMg4lZXgGeK01ImIaImdt5wNiByURXIAm73UtZco3OFLiKqfuMCXK2miCXfmqYhJeBkuZqSCjExCF\nKE0EWLtJsVoqa+JJEGtLn6qYhcPOSVuV8VHpbp+EtxcexsphyJyExTpXtHEBSXS9h4g1hGo9ljNN\ngissZWlIEueOsayQtMUKGgt1YQlIuAOAJX0bk/GOjIoE+qgwoZqUV0UjJAmyHVisvP1oSd+W6vlZ\nqJG/k5CfgVSZ88gY+ys8yc9iyu3XsU6xJF7M78m5nLsTgzwnXyOJf38ZYOFOcVRjHg0Dg5nwo97z\nAQAvbGAyUk3QHnYUmDzMlJDe8QFZ68XZoZiQhOZZYdGztN5vEoGC1R0M5r+x9XGnrAvjZNbvGKfM\n9U961wAANu5nPfKTXEfOXULr/Uc67gcA1IT8f2jP5Fqc/4eP8o9QGakm2QIWJrjebcp596zKzJKy\nGsp2BaEszh/teb1bUojlfnAO23KxCGStPUJGSuFlk4LS7CcTet/LRdZ8rsMiHT0jNSzCIgdkTi2M\nTJ+QeK6HsfqH2ZsAAB1xsqr3NVNe/YqWbQBcxmemJMfesVPRkdslae9DB5i0VwVYojFWNCRs7Aph\nXb/WsX7aexgQ1bg/mpcpAwMDgypDNQbYGhgYGBgYvNioxv3RvExNg/FWWhd6z6XFofUpvg6nusls\nFOOSYHSU3zOz3ASskXGRYl3KMrZ8mP62n+w+GwBw5/fo+BrOsYy4xGGFNR7KwwSgiYxUvpGWnAlh\nzDQBa0iIkrbHeU1im8w0lQDXWCGP3LUj5a1JZh25bWGvlA0LSFO7sUkVpo6wGsEcduUMlXwNJPn1\nxVwp4yPMl7IyGuOljFpZmdouYWJ8dLBKdSubprFReo4mQdbzlWmZLglxUNK2mCs/Bx5GKua3bmli\n20r31TYr+2YH2xyIRXOOe+ukSY2F7QpPShnaT+Ijb6nEeykQK6VxWGnXellqkCTVIqseVpar4DcX\nldKcpwVhl3KNwmCF3XpHxzkGC38ultlJTTPA76G8MGdVSOufNNgAisfeXsuyrgbwJVAr+Vu2bX8u\n8PvHALwPQAFAL4A/tG17en1gA4MjwPcX/hoA8IEY16xfbjkLAGCX+Dcf7XY3h2Kcczzdxd+anuPa\nVExyLRpcJiy5rIfZMa4fgxmuRb8bdRMA/+dB7qdbuyinbneR3ajdq2s3Pzb3LQEAfONirjup9nsA\nAIsiXIcvjLuxKq4MuT/uRhmogSLX57tHuacXbdb7pgYyZs/mWP+VMW8scWV2Q1mNCYnZSgVio/70\nwNUAgETYjff9yJz7AHjly4k7xtk/u3JMMpst8feMfM6U0Pb3jfQUbNzRoD7E8a6fnjyaFh9s2O/7\nPFps9MQw3z5wGQCgKEzsl8/+PgBgZYyeF0HpfoOjwHHujycLxz+LDQwMDAxOKCx76n/TXmdZYQBf\nBfAaAGcCuMmyrDMDp20AcL5t22cD+DGAfzrxLTAwMDAwMDjxONb98WTCMFPTIJznyFx7NZPj/WzB\nOQCABd/hO+jH/u1WAMDiKNVgDhddC9bf/vn7AAAxEY1Z9cUPAABq94laTq8/mapa9XOzawEAhaTL\nLjiJfov+uKvO26kyU6ylxW6yjZayeFp8jsfFypYR9snDrDjxScKUqDqfpTE8k8I2SHyL3aRqfxLX\nI9eHxj2xLP0SsyWMmKMIFwr7vjtMUGnqzGshiSnSuCWHcVLrjxWITXIuDDBF3jgePVUZqaCaYJBS\nC6r+OWW6NghlnJyylAlS9kW/i1JfqI7jW2yl4s5ku8v4hLLsn+iIxBgNcvxCI9KfMibOvXQ8NYlu\nMGGwt20aLxdQBrTyfqVKBFUJxUKqKo8AkGsSBUplKfPyKfPTmRtjrG9siO2w0yxjbFGtU9bIAo7X\n4jftAABcN/tptl3i6/7pizcCAObso5VVEzsXDndP2dZTAccRYLsWwE7btncBgGVZ3wfwBgCOOdq2\n7Qc8568H8I5jvZmBQSVo7MdlnyVrExnXxddl4g9cwbVFCBMMrOAamZnF75k2Wc+iXAsiCX7f/gIT\n9G4vtJffWJZdEXXFwhu4roxLEuGxJxhTtaWHDNbGpgUAgPY0E7F6Y2m25siu/S7Dwh4eXw4A+Ol+\nPgd8culdAIDPiJKgC435Uab+yFmIICOluL7lSQBAwnJV4oKMlOIVCSrYrh8jC7csyXiyNYl9ckZ1\nJULfUZBYrxMYr5WX5wJVGeyRxLdxVWAMHX1c1kz4+ci5zv81RqpZkgl31XO/PyfGvVzV/JrCcakX\n++Cve1YBAG599GVOWal93LMbdkqbJFZfnwsPXcw2bv8Dej/dc3AjAOCq9tUnqGXVh2oUoDDMlIGB\ngUE1wZ7h3/ToAOD1Uzkgx6bCewHcfYw1NTAwMDAw+P3h+PbHkwbDTE2DxCAtAM+PzgYAfPI8PnN8\n7sCbAABffs8NAIBsM61JQ0vc7hx9rVjgLFoT6jfynEwjrQmTzbRIjC7k6F/2CirwbP46LRMN212V\nOksYgFKc5WdaWFa2nVa0UI6/p/cIgyE5ohz2pkL+ISd+SL9qvqY5VDNS9mBoMa/NNQgrluEVEale\nsse15DVuE/ZlmNeGRCmuNCiMlTJCQcbH8rM4vFj+r7FGYf97fzD31pTwlKns25R/b1F/vJijPKX9\np797GCBb2CKN6XHyb2k+Lql/qJmWqbGVtIh2XaZj4t4+1aW5yUTZMce+Tfa3yO9sc7hb+nNMmEdl\nkfLKAHoYSFEIdNirCX8MktOvcX+uLVsVDlVpcdTt76iwk/kGWjgnlnK8JWTAUa5UxAeUteNHbNjt\nv6atrFd312IAwLdGOlk9ydOWktipYpvkztiwFac6LLgs3xRosSzrSc/3W2zbvsVzeRAVC7Ms6x0A\nzgdw2bHU08BgJvzmm5yWZzz8TgBAeIPLStdvlz1FmO2JVi4gYVl6ardzLUr28bxkP6d293lch+sv\n6nHKakszFmWnrJXZUSoAbnhuIQAgWk+PhsRyKqTetPgpAEBXjuvK0xEy33Mj7jpXkj+lhhCv/UTz\nDt/n7xMD4vXy+Ogi59iVqcrKb6qSd3PzIwCA/QV+nxWa2nNhKvxwjB4pN9QMH/W1R4qpGLbjgTJS\nikcyfIZrCHF81yVPvBzcJTXPO/+/P0UWc38P59enN70FAPCZvKj+Og9e/CjMIuMYiopyb43LQE4s\n4vzPzJL8po3C1MZ5bkSuefPOVwMAfrLkvhPUourEEeyPLwrMy5SBgYFBNWHmDO99tm2fP8VvBwDM\n83yfC+Bg8CTLsl4F4K8AXGbb9umlO29gYGBg8NLEzPvjiwLzMjUNVMt+7y9o3fr8GlqvCg20BAwu\np99twwt8Fml/0FUCsu4RH3Gx1pfEmp9rUEUzHm99mtce+iYdxVvCvWX1KDTT53psHq8db2OhqW6x\nnD1Hq1xo3yGWrap9yu6Eyr05NRYKDbTg2ZKjQlmNmu20RNXs4rWZNtZh4AyeN7KMVq7M+e5zWK/4\nwNsZlp3ezek1+wmxCr5AS2LxsFgUi2KlcWKAPPFPqipnB9QDhWkKBVguzR1lhSoZ5gXKGumnlOGw\nSRo/pGyN5WfHHObKozqoMVwaB6YKfKGWJgBAbl4zAODwy2kdHJ/HezY+y+trD7jWwmSX5Bgb96o/\nwRm/Uh37NbOUVrbwJK+NHhyQekkcXgWlRVvq7FV0ZCHSdlUV1Li2nPSFjoMnd1VYxis0wjkR65Vx\nF0VKZVCDfEgxyeP5OtdqGJlg+bW7pe2TopT5/9o78yi5zura71tTz7Na82TJsiXb8jxiYxzA2ARi\nBhviQB4h8XtgwHmPlZWBsHgksPLg8SCEBEiAhABmMjPYBmwTY2PjeUDYeNY8tNRSz3N3Dff9sc+5\nt6p6UKsk2a3W/q2lVaqqe787fX2/umd/Zx/LA9x3EbdR3c1zn7EaV/m+oxcpfekJp3aOnB2PAFgX\nBMEJAPYAuBbA24oXCILgLABfBHBlGIb7JzchxJHl2Uu+zv9cMvk7d5/7RifzRDbt5qzUvCntq1dy\nXLt53W0l67nzHQC86bk3AwDGX+B4VtVjKr+5g07U8p51/cZ7AQBn12wHAPxqaD0AYLDAe+veXPzn\ncGqm1MXvpeDBMd5339m4v+R1Nqy0/K/hAtWYJalDPx5XpDzHp5I2nOmcCl8M3lg3dNS3kQ3jcfe8\nBTRHLZgElbPiY/5+cKQ0by1tU1RGB+z3Q3/RGF7PPrDsVOYJv2U584qfGWHu4C/uZK7W3vrGI3Qk\nc53DGh8BzMrx9p0APgmOoQDwuTAM/2OmNvUwJYQQc4xKI29hGOaCILgBwO3gQPGfYRg+FQTBRwE8\nGobhzeAgUQ/ge2ZEszMMw6umbVQIIYSYIxyOMlXkeHs5OJPjkSAIbg7DsLxmwHfCMLxhtu3qYWoG\nGp5hxD851gwAyG1l1KCmk9H9sYVWV8pTfqaYxxlm7BTbxa/eywiJu/dlWxmVGzqbakN6yOpfbOmN\n2phoZiQnbVH89k2M3ldvp4tgwZSeqEaQqw1lqkLQEM9XDxdTMXE1ITFijn8pV2PMhW6c26r9HWcK\nVXewjfoOnpPu02I3unAht+Nz3Rc/ZDk+QzxfXp8oYTWPCr12jOX1klDkPGh5QWGUi5QoWSdIl+ZU\n+XpRPacFLVGbnnuWcPXF2/Ttew0rdzL0bfjypkIVhmIFMiz7o/b9cfe7hF3nhh2utHGbTaZmVm/v\nidcdLVUUC608195XEgNMJvAZ5rtfye/TQ1RrFj1MhTK5N27Tc5+i3C7Hc6j8PJfVlSq/JoWiGhqe\nqxV0sf8F5ryYsLy7RLPlUJl7X1RXylXDwbhdV9e8n3l/nGgxJZdT9pHu5XEETRZ9m8/KVIjDqvAe\nhuHPAPys7LMPF/3/1ZW3LsRkznuc+cPdXfzbP+0EBnSf3LIcANDazjze166Icx5PrGak/b7+uF4U\nAPz5xl/xtWXm0mfFCsfz25mLmsjwfja8lveVjSfTi+V/LWceyb4cx60nxzgTtiHJ++LbG7qtpemV\nl8/0rgYA/HgPXdLGcrzXr2niuh9Yxpzq0zNHzi3vwurDt7jbkOF9eTzkPbaq3LV2BnrzHMO/P3hq\nyefXNNDBcDZK1U9NhWlPcvvnV8209Oz4wRDHgS/tuhQA0GC1vM5u4vX+4ILnpl7xEJjufN0xYrMk\nLB9+RYp9uyER37Tf1sp8tt9v/i0AYLjAg/baX4/2rwYAHBjl+UvauruS7J9DQew22NjCa3BaKxXa\nu7pPAgA8aQpuepjj6sdP+lFFx3nMcZjjI2bheFsJcvMTQoi5RiGc/p8QQghxvDLz+LggCIJHi/69\nq2zt2TreXh0EwRNBEHw/CIIVU3xfgpSpGcg3MKJSfYBRj7GFfJ+v5WnzvKJCLSMV+ZqiCIZF4cOy\nHJ5I+TFcrqzbZZF3U0+y7XHEp7rTFJ59VHLckS10FzdTESJVxvOJwtI8HixsjdrMtjDykemkTDB0\nEhWc6i4qVIlxy0UKLPpnOV9Blm0338++2Ph0rHZNLLQcmv2M1HjeS8HOS3LQ8ouW0nEp8Dwed+Yr\nqjsVOf75+ZtUx8nOo+UxBZHrnyejUXkbPKUtajNttU5qnjSVxnOLorwhU188X8jd//KeR2TqXVH+\nkO9PstGu18IFtr9cJtnPa9Vs20yPMPKUt4hjfkF8/pI9bCvfyvPoSqcFtSKFz/OKVt1k94NCqboU\nKZTF35XliUX5X34Yruzlvb6U1/Eqqz/FDdiy9tbqmQV23oIRXk93iEw02PGYWpfqix8IXLVKDFqf\ntmWSVtulaXNYuh/Jw4/UHgsEhzknXIgXk5+f8RUAwGWP8HfLk8/xt8fbz2eE/vFevr9z70nROj8Z\no3Pt+Hjpz5Atvbxn31pr3+f5fVWS97eqFF+3dsf39sY23oPec9E9AIA3N7Bu1Df62cZt/ax3dWot\nFbON1bx3nl/liv3B83g+e8eVAIDEIq5z8lIqaw1pvv9/Hfx+dS2Vqg8uoGPgTDlC7sCWMmXiu2vu\nnHI5V3fWp7uizybMPnXcZjucWTWz5OMKy1CB+1ufOLiC9pme8wAAP97G87eujTndB1MNi3ldrZ/j\nqRWxL/WzXti7mib55EzClbJPbbkaALCqkb+Jakz1Wprh+/fuuRBAXO+sEqZT8F5Ty209ZnnGfh1W\nFTlBxvXKfNy0mmXJrQCAy+uo0B7Ic2z8+QDPb32aY3zLsritpOVTXdvGY/G+vKWWvzUGVvHv47SM\nT/mYfV2zY5WDjI8zGTQBs3O8vQXAt8MwHA+C4HoAXwPwypk2KmVKCCHmEiGAfDj9PyGEEOJ45PDH\nx4M63oZh2F3kcvvvAM45WKNSpmZgopWRm0yfKSqeQ2M5LIEpAKkDVtepyCktdGe4MkUFGVNS6qyu\nk9VYiF5NuUrvK8oJGWTULcrV8adyz2spc+tzdSFSb1xhKVLFEuMWMTEFyGsY+TLZxtJ8MM9tSVlu\nVX4JVa5sQxx1S/darpG1mciye+XreGyJETY2fILlXWXpRhM8z2hNWDwP1lQq/yxRbTlIzUyiiR0A\n7Vy4MmWvPWdb1OaaOEFn5AAjNmuzjIRVbbZcs3qbn7yHkcbAlTx3CnRVZqopVkVqGgCENabgjbAv\nuLrpClVVD8/fuOUEFYquiWsuoatEidBe7SLU85okh72GmSmS7sSY4nEEXmcMRblOZTlSruB5Xtik\n2l++L/n8pM+ifLRoI3ZeXI31a2OKlTsJes2roCiC6tuH5Zq5oueKrdes8r+5MD3/b1kBwujeIsSx\nwIIk762jw3ZvSPHvdiDH+9/rFrGO4sU1m4vW4RiZtdvHCenS/JubBjlb4pkx3q8f7KKrritSpyzc\nFy17Uj3v5S+vZftpG7jSltfir4tTHFerA257b5730rWzcJg79eztAICM1Wva0c8xsGOA+TsntlI1\n+oeFT9oa07f5zcG2kvf7hmd2YnN1Z6gQ3//6CtyPDanaKddx3BFwe5Zj4rUNvTMtXsLpNVTwvjF0\nPgDgI2feYt/UTLPGZLryHAe8j5Tzyx46Kl5Yw98BM+WcNZapab1jPPYdExxTdg6xz7RVc5t/08n8\ntkHrh1vtvF/Uti1q4wMLmNc0nRJVruTtNGfD7jy3taKKdR/bEtNfh6xN47g4yoHz88f7/GU1mwDE\neVpjYTweNyVKz/X2Cf7uvz3J8xbY39p053e+cQTGx9k43i4Jw3Cvvb0KwEELXM7/XyZCCHGsoWl+\nQgghxGQOY3ycpePt/wyC4CoAOQA9AN55sHb1MDUD6X5GrQJTcZJjpVH6XAsjEUH95LnK7koWpixC\nts8Ukh5GxsJeU55cenFVyzpJWOymZspTFNGfQi0AEOcAuVJl6pg7uSX64loLwWhp1CwxbNs3hSJZ\nVtsoUrXK1BlXrAAgMWHObJY7U0gzUpKt534lhy3X7AUe+8QiRiKrehkxy3cVudBl4xoiXNkiOqYa\n+ZzZQjejbK6GhSuodnVv5Pn78/W/jpr4eSsdiTpOWw0AWHLA3AW7LBetLK8ozpHyHCE770GREmgR\np7Ds+rkCmewtVRNTvSMl7xMT8bUMTJXxzwI/n6N2LlK2f57T5X2lznP5uM3C4jgPK7PLjm2v1Sdx\n1ciVKl/Q+4w7P7rS5ypdcxw5jZQ8PwbPd+o3RaxcwTOlLap/lYkjgKEfk7WVs3yxvrXs67Xd5rBY\nZ6pcd5EV4HwlnJsV3oU4GO1t/PvMF/g3//D+VQCAn3afBgD41NBro2WDrI2N/Vx2op1/6xdtfAEA\ncEoDA8PLLA/m1vVPAAD6TSl4aDxWd347wu18Yu8VAID1dZxlkDTbr7XVvP81J3j/3TS2EgCwNM22\n16bjHJVytmU5bl6z6FEAwDsaqUDlbez+ePcpAICO8eZp2yjH3QNv3M372q4Oqly/l3gDAOCuU38y\n5XrFeU71idL9K1f2HHcEvLB69oqUc3U97+ltF30NAHBqZnaK1N2j8RiZB8eOV9VM/bvlphN+af87\neA5X0sbeU1p4fZdU87fESdXsKw8PrgUAFEyZPKma6uV3O5hC4yriV7e+LGrz5kXsm+9c8xAA4F3N\nVDddqRqzMf5xS/1abcOY5055jtInumNXyl/uPxkAMFHgud/QzP39+8XMiVs4jYrk25zJcfEruy4G\nAAw8zf7fdmr3tMvOS47A+DgLx9u/BfC3h9KmHqaEEGKuIWVKCCGEmMwcHB/1MCWEEHOJMIxrxAkh\nhBCCzNHxUQ9TM5A0C2qfcpce4HSrbCOnyI0sMetvt3cukh69qNiEafGpRVw2V9UOAKjrZNs1z1CG\nDt1WeqpO4lP+3JI6MrUoK1ybsIKxbm9t09YSLZx+EBYZZPhUPJ9yVaitKlknsGW9mC/c1MLsQJP7\n+X2JUbWbGdjULZ/2l+nj58keTkeITATc9dpsxYP+2DghOlabMhYVzN1LuTwsi0z4u2Q3k0HXfpf7\ncMstl0XL+PVcOsI20M8pKQW3mrdpfdE0tbD0WkSmDcl4CkOwgtNLes9lMb6qPk4JqN7HaSMJN1Sw\n8+n7md5r16LomkRTA8umshXqbfqDT/e0YwzdctzMLtK9NsWmNZ6SV2jmMslhK6Tr++HH6tP7vN95\nX/Mppa00/Bhf1hS1GXrdZK9D3M7prqlR9rNUlxWmHrBppeWFgIuunZcCCJOlJireds2+sZL9Kxw4\nTqY0zL2xQoiD8qYVTOb//o6zAACdu5mknxjiPSBZdNv2+4h7Cqf6uMym2zYAAB6tZYJ900b+zV94\n2o0AgFU25bw9Gd8n11RxGt9IgWPzqxt+BwCoCzgGjZl9+LMTnAaet402Jnh/uWYL61j/9yX3Rm1e\nWct75aIk23xw8MSS1/e13wUAOL1mJwBgQzWNAfaaQcFMBW3dlOGcVq5bZ5bYPzzxF9OuU86dozym\nddPMCPNpiHePcYHpptnNhnLbbW87GZTet28e5lhwVd300yYPhhfkXZziOHdxdbyNTfY74C8Wl56n\nj+x+PQBg5wD725dP+ToA4Nt9NM7w8/yJNY8AAD60443Runv6ObY9M8K+8eEJtvGOlgcAAMMhr3/W\n+tCgTd3bbdf533svAAB866nzojYLBY51qTTP+c59nMZ57+41AIArV9HP4JOLfzPjuSjmqQn+ThnN\nulkZ/5j+8ZTvzrqNecMcHB/1MCWEEHMMufkJIYQQk5mL46MepmYgMcDoSqGBSZcFS6DPmDFFvsaU\nCosMZfpiM4bUEJepMlOAXB2XLXiUvixJP6g1W2srplqsIqGs8K9bYbohQmSFbsqG24gXFjEa0rue\nkZfq7mzURs1TLF4YmRm4kmaFd1MjjMYk3TDBtlVoNEt3M9iIlCsAwZgZdoyaauWGCjVUOfItbHt8\nAY91+5tMackykfLkLxeZYjyzxbbrJhB8G6ly0bkotUQvDFgErY+JqYmi5aMzXlas19uczh48Uqis\neF6iMY44Dp9M84yus3iNVv3MjnnnXpTQaKYQps54n8oviZOWI8tzUzjDalfw+D7ZaYqU9R23D0fe\n9r+e1ybZFdvqF1ptu24kYTehyAzCjD680K/bnntfihS/sfjcxDblPH9uMJJt8IgZtxm0mSo2Yqrr\nkBWmzhUVZ3YbeDPRcKOT6n4rXm0qcPXDTErPD8UmKvOWMIyUYCGOJf6m7YWS141ZOg4PFXjPrF8U\n//2ev4RqwVM9iwEA+7uoSISdNl7U8z5x2VK2VW6ZfX6R79P9IxzjXD3oy/NeuNpsq4ethEXSBjp/\n/cBzbwYA9P6GM0beV3ti1OafvupuAMCHFjwLAGhNU036ztMsOXPfHlq1n7uY9uFuhvClXZcCAHZ0\nU+FoaYhVmt9bzGN5/wKqHh9ZSGUivejQi5HHShPPrVt2u1C1NcdzsGViEQDg8VGOOefV0Bb8sprJ\n9xgvDpy2YrM9ebZ9drXbm3O5ckXKaUv69Z19CdM7RrjHH36e5hsrrRCvq0ydnfGsiNpGKokLuGWF\n6QAAIABJREFUG7mdHlPCqtIcn969hspiU8JmiCQ49lzd+DgAYEOGy9960s+jNq94hqqWX1/HVa2L\n6nnN6gKOlQ+O8roPFniu9o2z3zY3xte5voq/gVxF8mMY6uKYePMEi0n/cg9NKy5YzL+Ft7Y+zLYS\no1Fbz07w7+OHB17F7Y6y46dWcH9v6maB4ouW3gcASAfzvLD9HB0f9TAlhBBzjTmYYCuEEEK85MzB\n8VEPUzOQ38U50LlLaJ255b8x2tLwFKPlS+61nJuMRegbiiyfrQigR9ozvYxq1OxhpCTRbwVNPXfF\n1RFXrsrUKG6gTJUpW9ZVhdDyXPK1fF/bable9fHlLixk1CfY3Wn7w0hPqp7rjC6yYrNNpgx0WtTF\nVIlEv70fjKM53r2DsmLCrlShvjSyWLfdFI06U2LScUQlYTk7hTIFL8yV2YKXWXnHDZTZyRd/FpQW\nly1XpIKycx+aza8rVFHxZADVXYyUNWw1RW/YVJh6sz41FSa0vCy/zglTIIORokJ/bkdvhX7zNVwm\n1Ws5XVb8NqJcSfMbTPH+u8pV3p/K1U4vxOtKUZkCWGzh7gWd3Z4+ZSUDCm6BXlZot2AKW1hruVxF\ntv+JMStSuJjnIVfDNoaWsi8suZvR3sLwaOkxzmdCzMnImxCHypMXfAsA8PrnaYn+1Lal0Xe/GmFU\nPj/Ov/X6Fo4pdQuYO3vGAs6eWFkVl8yYjnVVzD1+WS1VhIIlZG3P8b72yChzVTyn6oEevh8e5/vc\nKissvjceo/5zE+2zP/RqKlN/1EzV4Cc1VBVGnuesgrt28r7WtsbKdNgMhuZ63rNWNPRFbT7WQ0v2\nf8jzHnpaHY/xXU0dBz3G6fA8oq/2XAYAuLyJ+WIbM7RwX5V6HgDw2e5LAAATUeHYyfcYLw7sPGUF\nYk9Kz1wQ1u3Zd2VX8INZ2LB/5AAt5e/v4rVYUMtx9ZqFtKAfWcBztGnRymid4Rw/e6xzOQBgcIBq\nW8ti9pFrGqi6NSWoqL2+4be2/6W/PXx/AaCparTkuw01POanRpYBAB4d5v49N0SFryHNc9SeYRvb\nrRCwq1EAsKebv8GSliRYXc/fYLksz31VFce9ugxfn+jm38VD+64BAEzk4t8zbZZ/tmMr87L9siXG\n2cffeg77pStSVyw9E/OaOTo+6mFKCCHmFOEk8xMhhBBCzM3xUQ9TM+CFY5N3cb7t8ma6tqQttyUx\nbgVu7X1qMI5MhKYyJMZNqRhhNCMqUupOfK6SJMvmuRYrLa7OpMveu7rgkX7Li8nXlRbkjXJciq+2\nbzfKmWJUKLWd7xs6Le+qyRzjzJkP7iRX7oBXdCyosfwvPwaLIuTqeAB9a7l/mT4ex9J72VZiWxyd\nK4x7EdyygrnlykSkUBVKtlWu1vH/6ZJjjvbd/zC9rfK/04S7+JUW9QWAVCeVk7ZnLIfMix97XpAn\nSvo27bjCYUabgmK1KZ2xzVnfsTylYMBUTJ+n7tfdijLDVS5TF8O6uLBilKjpToR+Pnxdy69zd8Qo\nZ8++d0e+RJGSFZh6mciy7bxFOpMjprpZX/GCxWG1RX+tyPXwsjhKmPW+Ypd1aJk5Y1p3Sxxgf3PV\nK4zT/uYvczTyJkQ55VHw2zs2TbncVYuoENSm4vHCc2KyeXPWq+a9cXiC94vOUSo+b2p9/KD7sThJ\nNas2cKdbvrj61W/5Q5sGqGg8u58qQzJpMy0SrqbHbYaJ0rHGC9Z+9vSbAABfX0Ll6uG9VE6aaziO\nfWA1a4F6TpM79wHAl/t4vrqyVE4eGWD+TSXK1PNZtvujAeb2pANurzvHth8sUMVxx0L/3vOIZsN0\nRXrdzW885Al7zvKem5Ozd/H7u/an+WoXa20VZ8m8oY6KWlS4tnH/pHXfPH45AGC3Xb9XLKIi2ZQo\n3d8zi2emFPG/97x+0mfPDlqfMCvZJRmO7ff2Mo+uEHI/n+llDtNwA9U3V7Z6x+NZJtlRK77bzO/G\nRtmn25o5nm5o5bF+ctltAIDvDNK58qtbL+LyL8R5Yh05/j9tfdrdkb2Pt0bn/OBFj+cFc3R81MOU\nEELMNY6H6YxCCCHEoTIHx0c9TB0CdbtLoy7jVl9neInlFfXGisV4E6Nt4y18tUAU6vawE9QeYESn\neh+jS8FeRmMiNafI+jHMWyTJnetcVbKaT4EpEe60lzPlwHNakpbHU7c9niec6OQc44IpEFHXdFnG\nFJPA3fHKawT5/hXlNIXWSuAug65ueJ2uHlNjQkaLzHAH6Q5GeLzeE9e1EGFhdrUxPJcqrgWVKdk2\ngMk5Z36uA88TKs3HmsRUToymOE00Wo2oER5bctD6iudpWe4ZhmxbnndV7Irk534f+4Jfb893ClzV\n9NpQrpB53a5Ru2YjRWqX12/ySI73HcurGzyZ0eGCNdH4PCO8wQ5GSvPWZrJIKc14W7bdsLUo7wtA\nodoiiq3W6aM+Y32/I96/5Li5H1oO3gLLr3M3y8JI6Xk8PpibRQmFOFTcKW3bI8ylyWfie2d6kH/T\naRuWer30HkUOHLDadl/AZQCAK9fdPu12zqni/fUpy+385TAj/Z5L1Zm1WkIHqD6MdXLGRZji31m6\n0VxNV8Vj0KVrtky5LXfBu2zlr/nByikXw7jJ6Afy8Rj0ijrmX/3K9m9hZmDyirOkI0fX1PPruJ/V\nAbf3wDDVuME8lYolGar7l9Qzd+rSIyBgbMmV5hk9OUbFrzbB87g780z03fIZ6m0BcX2uHx44GwDw\n1Cjb+sSiySqnK2KHUo9rKt7a/nD0f3d+bEuxI3qO1A/2sFZax+OsP5Ua5nXMbuCYdHIzFbNvrL4b\nAPDu3RdFbQ4ttvx1U7NGhvi7wHP0NnUyH+u9uasAAA0pdv7WGrbdfl78W+3sFrpFvrWZNbLKXS2P\nG0UqYm6Oj3qYEkKIuUSIkqmkQgghhMCcHR/1MHUITLQwujCykKetYRejCdV9vLAj7XHeU9Ugn5yr\nt2XtO1OVPC/H02+sDlXac1mmeOKOHOnsO68JBM8BqmVkItfA5TJdVD0Sg6PTthlF+j3fxhWMyCHQ\nXrMTpetNU1+ipI1ISTHlwpzhxhczQtW3nueg6QVb3tSdQnFtrdkmGCbKcs3K9i8sVpn8PLhy5t+V\nbysoc7pztctrRGWLcuMsB2q0zeqbrGG0cPFDVgF9dzeX8zymVFn+VREFr41lToCe4xXtt18zfx/l\npNnxeK2oYhUnqkVlyzSw7bf/6E4AwOvrdgMA6gP2nVdefz0AoOZZU7n8Go4WRSJHShXaTI9F4Zp5\n7PkmHmu2yerFZMzR0uqzpQZiZWrc6poV2tmHax/bwXW6TJ2bg3L+i8LxetxiXnH7hlsBABsHWG9q\n4uk4FyTbZHk3Kzg+pDttPPPbV4H30C09lKoes5kYrkJNhef4PDlOxWdFiqrMA5ZgMtRLFWLRCbwv\nv3YZ83YOTPDetXOkJWrLc2DuG+N+Xlxts0ys6OF9Y9zf8npNd45aDqnVWnp5dXyv9/pMYyHVpMdH\nV097LAdjLOT2L6jisVSbm9s9Q3z1HKnNI1Tj1mSopHg9qpUHUYxmQ7Ndqz3jPG8TNsXh+qYds27j\nWss9+tftzJGbyLONz2ZWAQB+0bUhWvbmdbcd3g4bnkdWjPeVf+vldvHPrD223GcA2S15T5p97LJz\nqDLut5y4xVWxynjyCuZEVVl+2p4lPD/u5rirl06QjzzLnDnkeCLXnEgl9faTb51ir6dWoOa9e99U\nzMHxUQ9TQggxlwjD2HBFCCGEEGSOjo96mDoEqjoY0em4uBUAkDVFqP03/LyqJ45AucNZIcWIWO1+\nRt9SI+wE6T5GRhL7TLmwPJRIjagucqHxp3DP+TGnuEgJss8LaXOBsxpWUZ6MK1jFjmyutpibm6sz\ngbmrRY5xeVMdXJnwuk62f0FtnC/j+xPW22emiuRWMcKz/W18f9JKzgHeu5URoILnZRUTKUylTnuT\nlKjpKFOXStsoyzmybXnh8KjGUpQn5o54cR2xqEnL88r75fo9RtmeP5mRznXf5LGnnmc9kcCUobC5\ncVJbiTKXxmg/3HHRFT9TE6P992tSMzlyFXp9Jss9KzRxf97e0G1LWJTtd29kG1YjKtnCyFlhcKjk\nFZhc08udCdHPyFzK1k1ZBDn0flHlrn6x41J6iMeWNLUq3znZuem4pDD3Im9CVIrXm7qiMXZR29Ft\nbn7jVm+w1Zw8a3nfW9ZOpf6L678JYHpnuWK2WP2gS2r46vk6F9cxX+jGiYsBAP/n5B8BiB33XvU0\nc1d6R+JtZFL87qERurlVB1Qi9uV57+7L817+Qct/WV1NNf3yWm6rv8D79C0jbVGbnp/z7T104GvI\n8L73F61bD3psAPBX+86K/l+f5KyIK2v5OlIwl2HLXd42yvPbaPk4dQm+zkaR6s3znt6SLM2HdWfC\nE1Ica7y2kedK/Wo3z1Xv4jujdRYkZ65R5dyzkdfkHTsuBQD8tJP1PQcnpnbkOxS8X/xw8AwAwFA+\nHitf18jcrLT91nh6B3OkThgtVRzHW9lP7bKix1wTO6wm1JsaY9fJUzP8zM8PwN88dzQwl+xLmVcA\nABau4n6tquZ4vHeCyq33RwB44xI6Yf55C9W+41KJKmcOjo96mBJCiLlEGM7JOeFCCCHES8ocHR/1\nMHUIBDZ3dvXNltsyYFF/r9FTG0dQkkOMso0tYfSikOH7zDaqMF47qDjizzaoenltHgCR8uSKT2C5\nReHgcMn75KgX5yl1cAtrbL8miupLeN6LKRauMPl2I0e4SPVgxM7zsyKXuKL8nP71VCSqe8xZz6IH\nu2/gfp3STtee7lFuKzVWGl0I0kXd0SMP5oYzSdYNp1asIsUsNUXXdoVkoqzOhqtwhcTU6wZl602h\nellgDg1WK2XJeqo0z13HKNfS29YCAKq72UbmgF27XFH0awHPX7izo2R7rvgFlks1yVnRlSqvbZWM\nr0lUW2uc23H10jnz4+8FACx8nP0h3bG/ZBuxO2KRImjXKVLIDFfSQq+dZe8Ly6mGDayjWte4Oe7z\nyR77/xx053lJmYNzwoU4XDyHCohVjksfejcAINvBsaVlOXNX/njlQwAOXusIAJ61PNaPd1D5Wl3L\nSL87oGV89oGpXgdyPjOAMwm8tlUxJ7XwXrg8w7a+1k1Va98Y171hKdWXty/i954789F9rwIAbOpe\nNqnN7gdYo6hgrobP/em/TXls0/Gc1UICgGsWPVryXWeeg9BpNcyDvaT+OQDARVYHqTYxfa5ZOeWK\nlDOdyrS+hmNW0xpu69sDp0TfuaIyW25cdU/J++8OxXl27997LgDgM0t47B85wO1cVMc6U6+pLR3b\n+wvcnxesDtaazAEAwBOjK6Jl7hjcCABYnqHDcThhY57lxu07n/1y/AyOke85nfv3slpuc7paVlPh\n+/eatf8FANhr+Wt/9OwfAwB2bFnI9xc+GK1zqOfvuGAOjo96mBJCiDnF3JwTLoQQQry0zM3xUQ9T\nh0BgSlBiwKPp9nRsEfhEIY6g5K3GTtoczJJjFu0Yt7pOw2zLo/mBu/lNUU8nNMVrbCkj+2GSr3WP\nl9Z6CM01Ld/MbSd7LRfJXQDr4nnCgedfmdqVW8A2E0PmXOPKlCkU+XbLoalhl0n12bZzcadu/PU2\nAED/pXSoOeOvOdf3tTWM8H1t8wUAgOFh7kfKAnfBCqo3we59UVsFc8kLs3aOPYeqTJGKVCRXTrxu\n1gxKR/SHGKlf5W5+nkNV5gyYK61TBQBBLaOmE408Tz1dTdaE7Z85Ow2stHw2m19dtc+2XaSSFbbv\nKtlOspER0KDJoqiuoPk5d4XKj9mU02IJ3B0L/Rx3ncHrfeI33wMAWPsI+3Kqs9/ayvmKfHW1sHiO\nsp9zUwEj5dNrWNl88Zy5+eWsz1SZ62WyK3Y9Cs3BMG+vAodt/RoEwZUA/hlAEsB/hGH4f8u+rwJw\nI4BzAHQD+MMwDLdXvEEhyvhM72oAQHOS0fx3Nk7OhXSV48MbfwoA+FjqSgBASzXHlhWZ7knrTMeT\n40sBAA9t53bv7z4ZAJC+lH9HJ1Rx+6HVfPrMFqpH6RPvAABsaKX72qN7Y8UiV+C9+/v7qYY8uplt\nty3guLpmpSvsHG+vePw6AEBfD4/rpJVsMxfG48gT7/ostxvMMve3jJnc7A4UeL9tT/H+GteTmlqR\nGipwjK9PTM619e98P6uCyfnCAPCDIY5NXqPp8trtAIAlR8Ap0CkUnb9PLqZa+c1BKjh/1/70jOt2\n2X303CqqTt7nrq5/atKy5//mLQCAxqd5rIMrOG5NnMVj+8y53wUAnJFhblx/Yfpr+NQE+3CfXZPH\nR/mbaPcE89i2DVMpe7aLxzE8aDlozfzd87FFT0xqc93d7wQArMHk+lvHFUfAGv1ojJHHUyVMIYSY\n84QAwkI47b+ZCIIgCeDzAF4L4BQAfxQEwSlli10HoDcMwxMB/BOATxz5oxBCCCGOLIczPgJHb4yU\nMnUIuHNb5LZmuUquKhUa4rndnguTtNeoto4rJjbPNlldGhUKLYcqCIvnJnuEn8++/ScwIpIYp7RT\nvYPzvlP9puakSvOZXA0rwRQIz/4p2DoFc1pLZ0tVmMAiAeltjBYWFjLCkmuP93N0I6MtHa9ihx7c\nw2jML56nA9Gav34AAPD8F+hklDmFEb7eM5kn1tpf5Bjn+TcTZXWuyolUpLIokSsrxZ97HSZXUFD2\nh+e5UWVRjyhnyRSZRJGDYbiMkaXBdVbHaYhRrZZN5nLUxW1m+qwm2R5GDQtbd3L58aLaWtPgTopB\nHbdbaDPFKmv5bH1TuCEahQ2rAQBf+B7n5l//h8yRav83Rr4SdeYu6E6AppRF5z0xOY8sCEpV1DCq\nTWbbrDZ3rnrLrTKHwOpORqknlrfGbS3j/4P7jvNoWzGHZ/16PoDNYRhuBYAgCG4C8AYAxSHcNwD4\ne/v/9wF8LgiCIAzn4ER0cUzy/pbts152YxXzbf7h1J8AAHryVDVWpziudVnu73NZjk1e7yk5Rc3D\n3DDvv3W7eU/62j0vBwC86WXMnXK1qMfydjuyHMeWVTNPa3djc9TWVQt4T/L8qkfyHM+69nD2wccW\nvZrbMle9qjTHrL+8gGrX+5p3TXG0MytS7tR2e8eh3w/Pr+Kx3zHiKtIU434RUylSs/mumDfW8bzF\n1+LIKVKeE/fxZ66MPvuYvb59reeLlaqXD9tvna928bq7s+HJtZz1srGa12SgEB/fX/7gTwAAa77P\ncbTrDK7z6b//PIC4v8VYHrzlO7kKtSgZz3BZZJf5g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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fitted_parameters = smt_fit_hcp.fitted_parameters\n", "\n", "fig, axs = plt.subplots(1, len(fitted_parameters), figsize=[15, 15])\n", "axs = axs.ravel()\n", "\n", "for i, (name, values) in enumerate(fitted_parameters.items()):\n", " cf = axs[i].imshow(values.squeeze().T, origin=True)\n", " axs[i].set_title(name)\n", " axs[i].set_axis_off()\n", " fig.colorbar(cf, ax=axs[i], shrink=0.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating Parametric FODs using SMT kernel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dmipy allows for the estimation of parametric Fiber Orientation Distributions (FODs) using the fitted spherical mean model parameters as a convolution kernel. At this time, it is possible to choose either 'watson' or 'bingham' distributions with any number of compartments.\n", "\n", "### Watson FOD estimation\n", "First we fit SMT on a patch where we want to estimate FODs." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using parallel processing with 8 workers.\n", "Setup brute2fine optimizer in 0.0670688152313 seconds\n", "Fitting of 400 voxels complete in 1.86997413635 seconds.\n", "Average of 0.00467493534088 seconds per voxel.\n" ] } ], "source": [ "smt_fit_patch = smt_mod.fit(scheme_hcp, sub_image, Ns=30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we call the fitted SMT model to return a multi-compartment model that is designed to fit $N$ parametric FODs to the data. Note that the returned model is no different from a self-designed regular MultiCompartmentModel - it only differs in that as the kernel properties are fixed to the estimated SMT parameters." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "parametric_fod_model= smt_fit_patch.return_parametric_fod_model(\n", " distribution='watson', Ncompartments=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the FOD optimizer has the same design as a regular MultiCompartmentModel, and all the same solvers and options are available for FOD estimation. In this way, it is possible to have completely different approaches to estimating the kernel using a spherical mean model, and estimating the subsequent parametric FODs." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using parallel processing with 8 workers.\n", "Cannot estimate signal grid with voxel-dependent x0_vector.\n", "Setup brute2fine optimizer in 0.000311851501465 seconds\n", "Fitting of 400 voxels complete in 27.5659279823 seconds.\n", "Average of 0.0689148199558 seconds per voxel.\n" ] } ], "source": [ "smt_fod_fit = parametric_fod_model.fit(scheme_hcp, sub_image)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fitting an FOD optimizer returns a FittedMultiCompartmentModel, where now all the same functions are available. We will show the estimated FODs in the next example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Watson FOD visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we use the same Dipy procedure as in the previous examples to visualize the FODs." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dipy.data import get_sphere\n", "from dipy.viz.actor import slicer\n", "sphere = get_sphere(name='symmetric724').subdivide()\n", "fods = smt_fod_fit.fod(sphere.vertices, visual_odi_lower_bound=0.1)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "affine = np.eye(4)\n", "affine[0,3] = -10\n", "affine[1,3] = -10\n", "\n", "# lambda_perp = lambda_perp_fraction * lambda_par\n", "volume_res = (smt_fod_fit.fitted_parameters['SD1WatsonDistributed_1_G2Zeppelin_1_lambda_perp_fraction'] *\n", " smt_fod_fit.fitted_parameters['SD1WatsonDistributed_1_G2Zeppelin_1_lambda_par'])\n", "\n", "volume_im = slicer(volume_res[:, 0, :, None], interpolation='nearest', affine=affine, opacity=0.7)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dipy.viz import fvtk\n", "ren = fvtk.ren()\n", "fod_spheres = fvtk.sphere_funcs(fods, sphere, scale=1., norm=False)\n", "fod_spheres.RotateX(90)\n", "fod_spheres.RotateZ(180)\n", "fod_spheres.RotateY(180)\n", "fvtk.add(ren, fod_spheres)\n", "fvtk.add(ren, volume_im)\n", "fvtk.record(ren=ren, size=[700, 700])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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95wFS5l0Om7+gonooW92jkOHbKGinoNwenS5Dwqi6+F5KVk9BbdiON7MnW1Kr\nmOMeiTtuNfMisM3AGnv7AHZ1fpa6x7MhtAuHyeb4wPnU9M+D/fZoAFwXCkMvnUDB9svBV4W68Uoe\nven/2HzDiyyyOTjjR4Pi+XftD5mzcDKk50PnuyDnFVs1jpbB4x9F0dgwgsJdcbDGA+7J4LUvCFJu\nhjZ88t/Nx7c3AzI7ws4iYBi2joGy7I5jc3fDtkVQWQvHc9HjrQ7ZpwPUbrA6ng+/CaoKisOBSls1\nAFS+FQNi0YcgXqgbBOyyXQeAg1a34+FG8M0ANjmjU3BETwv/BaoIsN+QA8CnUJ9a+6RiwZsALHZE\nynvU8h/701KoA1jjiA6Ab5UeTOFbtwm84eB9zTEtOzhrDKz6nCoIyQfPcXL3V7C3Uch3yM84smMx\n24tjiUqqoETCwIEAeQDFrlgezptASV0+ZMTSLq7ekQjw2Q1hvD5wPL4eXXnzgwZ6+Upxwn1ocLyX\nFaPjYe4KlnzQg6qqvhxwpf/n4WEHd303nL1X9SclaxBs2Ene3KW8nFXPnB0xrC+35yHRLwLueSSZ\n+aNnsiZkBmyOg7Wvs63BS05ICTnLXHgb7Nmp7i6464YuPOHpR+pribBhLp/+NYTjVfFsTrXXkfpo\nFMzfEkX1FxuAUqJGVzOs8QCp5Qqw92L65zwX6vN9kFoKcZfS/hdu4hcv4ehSe/2xctdlwoa3wLcL\n3PfBpd8nJvZPVLz5hq06vvRMSH8RGAnyGIy8A+n1NurDP9iqQ1017J8LrAJ5GvrOgx4fwxe/tVcH\noGgzsBvkEej2GnT5Ajb9yn6d+gzgJeAe6PAIJGyGgw7oAPiWAW7w3AuxE6DoN87oqP2AAvdj0G4Y\nFDngs9TY1LL8JkQ9C93/DTm/gTKHWpjqNkLsdyHpe5B3GMpXOyBitchLHwiNhdr+oOxvAbSLs8bA\n+uyNhUjNEcgo550HGplf6CbDIctHcot5cX0tntg4issiHNEA8Lg9qNpRpGe2wx2TBdg/CgpAanws\nX1jB8cwjRMT6CE1yphvtk3e+IKFdFIW1e9j6u2y2Vdn/zQpvWg0D0xeT2D2cgk67cK37B3ttjtp8\nSQ8fYyKLSPdsY+fI9lQM3ol7/3v4ljaSaa8USaFQs+EAQ0e8R+qoKFyfzifvxSOOOOtvLYGtDy6F\nig2IJBO17CDvfbqVuSX2v6mogiIoeAei7yT65yHcOvkT8pZncNR2JcCXAlGT4MY+9LingVklISxe\nChm5tguBKxYu6E3I7b3onzyJ0I4j2fnKTruFADdM6obc2IeEsbPpsGQPBx5yImx4LYzuBdf0Jfqc\nGOK2ZJH16+cc0AEGDITvDMBURCEUAAAgAElEQVQ9tCehaXXUPPqQMzodBsGkwZA8HKmMQv3zx87o\nxIyAKQNhaHukLgr1/C3O6CSOhpv7456aRHThTyn7vkM6g4fjua8f7UbF4V4/i9z/sd/AkvN1cC/X\nVWNRUZGohZeh3n/adh27OGsMrJrDRYjVdJnv8PeNXa5aKio9gHO+Sk0M7lNNTLs0ksKiCQ2Ndkwn\nMsLHwGT7hy77k7k+B/gnLgGccRfgpY+FpLSFVGV/jqvApv7AAI5mCQc+yCbk6FyS9m6g6uhqnDJ+\nt9ZC6cu51MT8CdeBCkc0vkJZKVAKZFLwLsx1Wi/qM/qnrKdq5yE++szBL/HG7WTw6Ne4ypPBqNyF\nHFKQ4YRO+BFiZq1n7LmHuMCzlOjJefzY3p5PjeThmbyHQbOFSZ120cldwsrVblY6EDXcNe4ofa4+\nyNheh+jRpYwNOzqyZk6h7ToyppCOV2WSPKSCLnnCodSB7HnTgXGygxrxXFlDzIR2tG9MpjriMrKf\nW2i/TrIL9+VVxE+PJM7XlbrI68l8wn4j2DWgnv5XHWTYmL0kFexh6x192fiq/a8qiQMKmT39XUb1\nraSsZjtOmL9jz9HdkWMun0N4lIsdOftZ9b4DQjZx1hhYZyqhCH3bdzrdxfjWkFkDmVtqgVrHNBZV\nChvehOJ/7QX22tx5diJHMgHawLg6HeRls/2tbLY7rZO9C/XWIXzb6lm/wcc6p+J1VGeSuPUlzhsS\nwYXRu8nfW0lvD6TZPeBBeWmX8T7Ts9dzacRRutfupSbUy0qbZQDiCz5jWskxLu6UQd/YfST3LXLE\nCydWtjDJ4+O8sAKSOx0g87IS7n7Tfh1PYj59+2+nby8PvVU6dZe6Wfh5BHmHamzVCYkvpP+AXQzp\nFkIvSafmolrefjuEkgx7X8Zi6g5yYeXrXFRbRTdPBv0HZuJEHND2OVu4ePsuJqRXs3udMy+Ug7OW\nAnDTrrXERTTy1DaH3sRtwhhYBoMDFDvb2GdwgAPrajlgc3dxMLIX7uRwmaKHGw5ucsC4slCbNtLY\nNZy45Eoad/kI3e2Mjm/3djptOkpyaQndsmrJ3euMTsjerQxMzWVsxzKGlmSRnlvPhJ6w0WZPgoj8\n3QytimRqbR0DInMI63WEhimNvG7vWAHCSg8zrOAzZlXX0Te2lIbEHIqnCu/YGyINdTyTLltz6FPs\nJTHfS7T9g1gBOLqlhlV/qMEFrHImdB0pn2sjd8+eGlQdzPtmDyI0BpbBYDC0JTVVirc+hSVAvoM6\nhan1rHyzHomBznkwz6FGzpKUaja9Ws2QntCQBYcd8jku2l1IyeISInN8+DIVoQegswOD8HzH0knY\nU8eYzlUMiSij5qiXCa5GXrdZpzEtk4TUevr1bWS0lFJ3tJHtdT5stq8oz/Wy6t9e+neAykJIdejT\nMg1e+McBeBcodkaC9ZZf5OFcsL8T2n6MgWUwGAynASeNqyb25+mf0yzfCeV7oIcPNjvlKqdgyQde\neu+Cc0qgIA8yq+2XqcyopWhdBnVuH16Pj/BUSLQ/1Bt1xY0UrMulsVFRU6uQQujg0KcXvkiBihSI\nU04GUdCepk4ZV/58G4wrMAaWwWAwGGxgixccHj9Eeik8tx2GKMgGDjiks3VNI+OKoJ0LonKgyCEj\ndcMqHwOyIc4HtdlwqMQZnVqHDStDcIyBZTAYDIZvDbkKbI+gEUBqIczbCBlu6F4H8x2KZXi8HN7Y\noY1F5YPlzsgYThPGwDIYDAaDIYDN9bAZCMMKUO4Qx3zgRKQOw+nHfOzZYDAYDAaDwWaMgWUwGAwG\nQzM42XplOLMxBpbBYDAYDAaDzRgDy2AwGAwGg8FmjIFlMBgMBoPBYDNnzChCEae/+KYJDw9vE530\n9PQ20amvb5tvukRGRraJTl3dmeUx4fXa/3HeswGlHPwwtOGMog9ffpnUoSDnhrOUM8bAMhgMBsOZ\nQTwwwvqfDTj09R0uEfhhGLg76PnPfPDXHGe0pgGTrT6jejf82aFvUBq+ORgDy2AwGAzfKL7nhps6\n6f+1CfBaObzqwOdqRsfDkMHQIVnPd4+BY6vh4532a10UB9f20v89vaB7JfzURBY9ozEGlsFgMBha\nxLnApR79vyIKHit1Rmd4T+g+Xv+PHAK3uIUjH8DqLfZ2/br6ge8CCJ2gm5Zi2oVzwZAwPr7b3m/W\nCNB9DESfr+fjusO0UDcXehWLV9ofJn4scHOYNRMNPy2yXcLQAoyBZTAYDN9y2lnTy1xQFQHzq5zR\nuaEDXDlW/68eApFlwq//Zb+/W/kwqL1SGz0yIpZQTzzDQxWrt6TbqpMWC9ljwmgcofsIc+O6U+8K\nod/sDI4sOm6bjgjk9IHCGdqHt7ZPPMXeeHrlNsJK+ztAL+4J1wzX/z2DIbRQuNeB4+RPAlDgqMK3\nD2NgGQwGg8PcAHSLg3fqIavG/vxvt+7k9w0A70ToXiM8+7b9D9TQseC6Sg8oip8WwYDyzoyurGf7\nnAxbdY60c7GjZ2cApPsA0qU3OWNCiUyeR3VKoW06hyrdrK/rRjTaGsl1D+Bg50TqR2wEGw0sn4Lt\nKorYsEEAuKL7kqp6kzawGic8zFxjoPZmt54Z0Z7E/Gj678rh8Nbak2/4NehtyTzVGbp0gkczYbHD\nH4u8C4hwwQsOfSPSLoyBZTAYzlqGA9+Jg2VhsCnf/vynWE7NDyZDl9kwOCGM239j/0jXHkP0NOZq\n8FwZzoiagfQpKiX183RbdbbGCUmjtHNUQ4+hbKkdChfUwpy/2aqz5mgI1Uf6AeDqNpmM+BEciQ6h\nrlcapHxum86u/QrPjs606zUYgMKwyWTWd6JQGoC5tukArN0RQs3RvgDUd5pJfkQymVKI9F2IOppu\nq9bh2CgW9xkJgHQfxN7QjtQMWAlbN9qqAzBK24yMuFtIGO7hyl2RLP6xM33HV1q+cg+Oh6gYKN4I\nb+9wRMoWjIFlMLQBE6/vwo2Rx1n4qrAUt6NaYwfA1kOOSjhOH+CnFyh29u3Eq3/Pc0znV/3g8u/B\nsGF9uOPXVVQftFfLE6unFddC3S0dqXJPpltKJZmv2uvdvNzytxkxMZysHhfxRfUUSicWwOdP2qqz\n9JCbykP6iVqTNIuD4RM5JOUQOQeqi23T2bOpkbLh2tmrofMQSqLHUb3DB5V9bdMAqCv3sWNlCZ7e\nSQBUZ/alITseDnSxVQcgJ6WG1RujAGiI70dV9VDU1mNQHm271vq0GLIzJwFQ0fFCMvM7UqAqAfsN\nrNJeMQAsnjaBxn6DWN0A8LztOgCdLuoIQOadHQltH0nYq8WwI90RLTswgUYNBoPBYDAYbOasacGa\nMEE40Ot7lL6bDRH1dBiUSfGOI45oeUOSqS0LhU6dCC9fjVucCXgSX1HO9JTtFF3YjdUF/RzRaKLz\nFT9m56Ewora/R3SEvf4W/oz54XWseyced9FOPB7737aaUKoPPt9gOv94GtNTfsncJc4FqlWei6m+\n8gHCJs/jivDnWPqSU0rRhH7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LM8fBA9e6ycr3cttTjslwWTTc2k+xOk54fpUzGrNj4eHp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\n6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J/qRKYK1j9JFazzowqWAqpgna+L4Tx9qbIBNw2fblMtsCMAtSNzmlc+p1TBkkQVrPOj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\nACZlJq0JNrpMTwDSYH3kLNM0v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M03OH7tODK9zxLpewceMcYBld48hz/OrKT5d3G+4jYb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\n9K4aAFwf1dH9efTXFhEqYK/nXF35Aeut9Bwk/XcHOfdaDf7N5rg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.image as mpimg\n", "img = mpimg.imread('dipy.png')\n", "\n", "plt.figure(figsize=[10, 10])\n", "plt.imshow(img[100:-97, 100:-85])\n", "plt.title('SMT Watson FODs lambda_perp background', fontsize=20)\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating Error Metrics: MSE and $R^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to calculate the Mean Squared Error (MSE) and the $R^2$ coefficient of determination. \n", "In MSE, the lower the better, while $R^2$ ranges between 0 and 1, with 1 being a perfect model fit." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mse = smt_fit_hcp.mean_squared_error(data_hcp)\n", "R2 = smt_fit_hcp.R2_coefficient_of_determination(data_hcp)\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=[15, 15])\n", "cf = axs[0].imshow(mse.squeeze().T, origin=True, vmax=1e-3, cmap='Greys_r')\n", "fig.colorbar(cf, ax=axs[0], shrink=0.33)\n", "axs[0].set_title('Mean Squared Error', fontsize=20)\n", "axs[0].set_axis_off()\n", "cf = axs[1].imshow(R2.squeeze().T, origin=True, vmin=.98, cmap='Greys_r')\n", "fig.colorbar(cf, ax=axs[1], shrink=0.33)\n", "axs[1].set_title('R2 - Coefficient of Determination', fontsize=20)\n", "axs[1].set_axis_off();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MSE shows that the fitting error is overall very low, with higher errors in the CSF and the skull. The $R^2$ agree with the MSE results, having values very close to 1 overall, with lower values in the CSF and skull." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "- Kaden, Enrico, et al. \"Multi-compartment microscopic diffusion imaging.\" NeuroImage 139 (2016): 346-359." ] } ], "metadata": { "cite2c": { "citations": { "1647435/9GIP6DWS": { "author": [ { "family": "Kaden", "given": "Enrico" }, { "family": "Kelm", "given": "Nathaniel D" }, { "family": "Carson", "given": "Robert P" }, { "family": "Does", "given": "Mark D" }, { "family": "Alexander", "given": "Daniel C" } ], "container-title": "NeuroImage", "id": "1647435/9GIP6DWS", "issued": { "year": 2016 }, "title": "Multi-compartment microscopic diffusion imaging", "type": "article-journal" }, "1647435/SJIIZKJJ": { "author": [ { "family": "Kaden", "given": "Enrico" }, { "family": "Kruggel", "given": "Frithjof" }, { "family": "Alexander", "given": "Daniel C" } ], "container-title": "Magnetic resonance in medicine", "id": "1647435/SJIIZKJJ", "issued": { "year": 2015 }, "title": "Quantitative mapping of the per-axon diffusion coefficients in brain white matter", "type": "article-journal" } } }, "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 1 }