{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Single and Bi-Tensor models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "import os.path\n", "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "import warnings\n", "warnings.simplefilter(action='ignore', category=FutureWarning)\n", "import nibabel as nib\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "base_filename = \"../data/output/S264294/S264294_DTI_gated_20150508093306_12\"" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "fdwi = base_filename + \"crop.nii.gz\"\n", "fbval = base_filename + \".bval\"\n", "fbvec = base_filename + \".bvec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "img = nib.load(fdwi)\n", "data = img.get_data()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(40, 45, 12, 65)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.shape" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1.9827586, 1.9827586, 2.0)\n" ] } ], "source": [ "print(img.header.get_zooms()[:3])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from dipy.io import read_bvals_bvecs\n", "bvals, bvecs = read_bvals_bvecs(fbval, fbvec)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from dipy.core.gradients import gradient_table\n", "gtab = gradient_table(bvals, bvecs)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "B-values shape (65,)\n", " min 0.000000 \n", " max 1000.000000 \n", "B-vectors shape (65, 3)\n", " min -0.964118 \n", " max 0.999988 \n" ] } ], "source": [ "gtab.info" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000.\n", " 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000.\n", " 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000.\n", " 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000.\n", " 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000. 1000.\n", " 1000. 1000. 1000. 1000. 1000.]\n" ] } ], "source": [ "# b values for single shell\n", "print(gtab.bvals)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0. 0. 0. ]\n", " [ 0.999975 -0.00504502 -0.00503994]\n", " [ 0. 0.999988 -0.00497989]\n", " [-0.0249489 0.65464 -0.755529 ]\n", " [ 0.589353 -0.769866 -0.244886 ]\n", " [-0.235876 -0.529835 -0.81464 ]\n", " [-0.893575 -0.264756 -0.36253 ]\n", " [ 0.797989 0.133987 -0.58759 ]\n", " [ 0.232856 0.932211 -0.277056 ]\n", " [ 0.936737 0.145261 -0.31847 ]]\n" ] } ], "source": [ "# First few gradient directions\n", "print(gtab.bvecs[:10, :])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(40, 45, 12, 1)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "S0s = data[:, :, :, gtab.b0s_mask]\n", "S0s.shape" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dtype('" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#histogram of the S0 values (b0 image)\n", "x = plt.hist(S0s.ravel(), 500)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Histogram of the S_k values\n", "x = plt.hist(data[:, :, :, ~gtab.b0s_mask].ravel(), 500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The S0 values look nicely bimodal. The S_k values look gaussian with wierd spikes. Are these from eddy currents or head motion?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# Plot z-indices of a 3D volume\n", "def plot_3d_z_indices(vol, idx_list, transpose=True,\n", " num_rows=1, num_cols=1, \n", " label_loc_x=5, label_loc_y=5, \n", " im_origin = \"lower\"):\n", " \"\"\"Plot z-index slices of a 3d volume as subplots\"\"\"\n", " fig=plt.figure(figsize=(18, 16), dpi= 80, facecolor='w', edgecolor='k')\n", " fig.subplots_adjust(wspace=0.025, hspace=0.0)\n", "\n", " im = None\n", " for i, idx in enumerate(idx_list):\n", " plt.subplot(num_rows, num_cols, i+1)\n", " plt.text(label_loc_x, label_loc_y, str(idx), fontsize=18, \n", " ha=\"center\", color=\"black\",\n", " bbox = dict(boxstyle='round', facecolor='wheat', alpha=0.8))\n", " if transpose is True:\n", " im = plt.imshow(vol[:,:,idx].transpose(), origin=im_origin)\n", " else:\n", " im = plt.imshow(vol[:,:,idx], origin=im_origin)\n", "\n", " # now put a color bar on the right\n", " fig = plt.gcf()\n", " fig.subplots_adjust(right=0.8)\n", " cbar_ax = fig.add_axes([0.85, 0.15, 0.01, 0.7])\n", " fig.colorbar(im, cax=cbar_ax)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Single Compartment model" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "import dipy.reconst.dti as dti\n", "tenmodel = dti.TensorModel(gtab)\n", "tenfit = tenmodel.fit(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fractional Anisotropy" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "FA = dti.fractional_anisotropy(tenfit.evals)\n", "plot_3d_z_indices(FA, range(0,12, 2), transpose=True, num_rows=2, num_cols=3)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = plt.hist(FA.ravel(), bins=500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mean Diffusivity" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MD1 = dti.mean_diffusivity(tenfit.evals)\n", "plt.set_cmap(\"viridis_r\")\n", "# Plot the MD for a few z-indices\n", "plot_3d_z_indices(MD1, range(0,12, 2), transpose=True, num_rows=2, num_cols=3)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = plt.hist(MD1.ravel(), bins=500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bi-tensor Model (Free Water)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Awater_k = 0.05\n" ] } ], "source": [ "ADC_water = 3 * 1e-3\n", "b_value = gtab.bvals[1]\n", "Awater_scalar = np.exp(- b_value * ADC_water)\n", "print(\"Awater_k = %.2f\" % Awater_scalar)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "data_bi = data.astype(np.float_, copy=True)\n", "S0s_bi = data_bi[:,:,:,gtab.b0s_mask]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make sure there are no zeros in our signal and everything is positive" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min = 0.000000, Max=2216.000000\n" ] } ], "source": [ "print(\"Min = %f, Max=%f\" % (data_bi.min(), data_bi.max()))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "data_bi[data_bi <= 0] = dti.MIN_POSITIVE_SIGNAL" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min = 0.000100, Max=2216.000000\n" ] } ], "source": [ "print(\"Min = %f, Max=%f\" % (data_bi.min(), data_bi.max()))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# Attenuations\n", "Ahat = data_bi.copy() # attenuations\n", "Ahat = Ahat / S0s_bi " ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Attenuation_min = 0.007, Attenuation_max = 0.990\n" ] } ], "source": [ "max_diffusivity = 5e-3\n", "attenuation_min = np.exp(- b_value * max_diffusivity )\n", "\n", "min_diffusivity = 0.01 * 1e-3\n", "attenuation_max = np.exp(-b_value * min_diffusivity)\n", "\n", "print(\"Attenuation_min = %.3f, Attenuation_max = %.3f\" % \n", " (attenuation_min, attenuation_max))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "#Clip the attenuations to attenuation_min and attenuation_max\n", "mask = Ahat < attenuation_min\n", "mask[:,:,:, gtab.b0s_mask] = False\n", "Ahat[Ahat < attenuation_min] = attenuation_min\n", "\n", "mask = Ahat > attenuation_max\n", "mask[:,:,:, gtab.b0s_mask] = False\n", "Ahat[Ahat > attenuation_max] = attenuation_max" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = plt.hist(Ahat[:,:,:, ~gtab.b0s_mask].ravel(), bins=500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialization of Free Water Map" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fraction of Data Selected = 0.10\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# look at the distribution of voxels in the b0 image that are near 3*1e-3 mm^2/s\n", "mask = np.abs(MD1 - 3 * 1e-3) < 0.2 * 1e-3\n", "print(\"Fraction of Data Selected = %.2f\" % (sum(mask.ravel()) / mask.size))\n", "x = plt.hist(S0s_bi[mask].ravel(), bins=500)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets look at the attentuation when the FA is close to that of water\n", "x = plt.hist(Ahat[:,:,:,1:65][mask].ravel(), bins=500)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "#Lets set the value of Swater to be 1500 as that is close \n", "# to the end of the distribution in percentile terms\n", "Swater = 1500 " ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fraction of Data Selected = 0.52\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# look at the distribution of voxels that are near 0.8*1e-3 mm^2/s\n", "mask = np.abs(MD1 - 0.8 * 1e-3) < 0.2 * 1e-3\n", "print(\"Fraction of Data Selected = %.2f\" % (sum(mask.ravel()) / mask.size))\n", "x = plt.hist(S0s_bi[mask].ravel(), bins=500)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets look at the attentuation when the FA is close to that of \n", "# white matter \n", "x = plt.hist(Ahat[:,:,:,1:65][mask].ravel(), bins=500)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "# Lets set the value of Stissue to be 200 as that is close\n", "# to the start of the distribution above in percentile terms\n", "Stissue = 200" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Amin=0.37, Amax = 0.74\n", "Ahat_min.shape = (40, 45, 12)\n", "Ahat_max.shape = (40, 45, 12)\n", "fmin.shape = (40, 45, 12)\n", "fmax.shape = (40, 45, 12)\n", "Ahat_min=0.02, Ahat_max=0.19, fmax=0.45, fmin=-0.05\n", "fmin.max = 1.16, fmin.min=-0.06\n", "fmax.max = 2.96, fmax.min=-0.05\n", "fmax.max = 1.00, fmax.min=0.00\n", "Ahat_min=0.02, Ahat_max=0.19, fmax=0.45, fmin=0.01\n", "f_init.shape = (40, 45, 12)\n", "f_init.shape = (40, 45, 12, 1)\n", "f_init.max = 1.00, f_init.min=0.00\n" ] } ], "source": [ "#Initial free water map\n", "\n", "#looking at the distribution of mean diffusivities we can set\n", "lambda_max = 1 * 1e-3 # max diffusivity in tissue\n", "lambda_min = 0.3 * 1e-3 # min diffusivity in tissue\n", "\n", "# Max and min attenuation. (Amax uses lambda_min and vice versa)\n", "Amax = np.exp(-b_value * lambda_min)\n", "Amin = np.exp(-b_value * lambda_max)\n", "\n", "print(\"Amin=%.2f, Amax = %.2f\" % (Amin, Amax))\n", "\n", "Ahat_min = Ahat[..., ~gtab.b0s_mask].min(axis=3)\n", "Ahat_max = Ahat[...,~gtab.b0s_mask].max(axis=3)\n", "\n", "print(\"Ahat_min.shape = %s\" % str(Ahat_min.shape))\n", "print(\"Ahat_max.shape = %s\" % str(Ahat_max.shape))\n", "\n", "# Note this formula is perhaps a correction of Equation [6]\n", "fmin = (Ahat_min - Awater_scalar) / (Amax - Awater_scalar)\n", "fmax = (Ahat_max - Awater_scalar) / (Amin - Awater_scalar)\n", "\n", "print(\"fmin.shape = %s\" % str(fmin.shape))\n", "print(\"fmax.shape = %s\" % str(fmax.shape))\n", "\n", "idx = (20, 25, 6)\n", "print(\"Ahat_min=%.2f, Ahat_max=%.2f, fmax=%.2f, fmin=%.2f\" % \n", " (Ahat_min[idx], Ahat_max[idx], fmax[idx], fmin[idx]))\n", "\n", "# now make sure fmax and fmin are between 0 and 1\n", "\n", "print(\"fmin.max = %.2f, fmin.min=%.2f\" % (fmin.max(), fmin.min()))\n", "fmin[fmin <= 0] = 0.01\n", "fmin[fmin >= 1] = 0.99\n", "\n", "print(\"fmax.max = %.2f, fmax.min=%.2f\" % (fmax.max(), fmax.min()))\n", "fmax[fmax <= 0] = 0.01\n", "fmax[fmax >= 1] = 0.99\n", "print(\"fmax.max = %.2f, fmax.min=%.2f\" % (fmax.max(), fmax.min()))\n", "\n", "print(\"Ahat_min=%.2f, Ahat_max=%.2f, fmax=%.2f, fmin=%.2f\" % \n", " (Ahat_min[idx], Ahat_max[idx], fmax[idx], fmin[idx]))\n", "\n", "# FIXME: setting fmin to 0 and fmax to 1\n", "fmin[...] = 0 + 0.00001\n", "fmax[...] = 1 - 0.00001\n", "\n", "f_init = 1 - (np.log(np.squeeze(S0s_bi) / Stissue) / np.log(Swater / Stissue))\n", "print(\"f_init.shape = %s\" % str(f_init.shape))\n", "mask = f_init < fmin\n", "f_init[mask] = (fmin[mask] + fmax[mask])/2\n", "mask = f_init > fmax\n", "f_init[mask] = (fmin[mask] + fmax[mask])/2\n", "\n", "f_init = f_init[:,:,:,np.newaxis]\n", "\n", "# This is our starting value of f\n", "print(\"f_init.shape = %s\" % str(f_init.shape))\n", "print(\"f_init.max = %.2f, f_init.min=%.2f\" % (f_init.max(), f_init.min()))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "f_init.max = 1.00\n", "Ahat.max = 0.99\n", "b_value = 1000.00\n", "Cwater.max = 0.05\n", "(40, 45, 12, 1)\n", "(40, 45, 12, 65)\n" ] } ], "source": [ "\n", "print(\"f_init.max = %.2f\" % f_init.max())\n", "print(\"Ahat.max = %.2f\" % Ahat.max())\n", "\n", "Cwater = (1 - f_init) * Awater_scalar\n", "print(\"b_value = %.2f\" % b_value)\n", "print(\"Cwater.max = %.2f\" % Cwater.max())\n", "print(Cwater.shape)\n", "\n", "Ahat_tissue = (Ahat - Cwater) / f_init\n", "print(Ahat_tissue.shape)\n", "\n", "#np.unravel_index(Ahat_tissue.argmax(), Ahat_tissue.shape)\n", "#print(Ahat.max())\n", "#print(Ahat_tissue.max())\n", "#print(Ahat_tissue.argmin())\n", "\n", "#idx = np.unravel_index(Ahat_tissue.argmin(), Ahat_tissue.shape)\n", "#print(idx)\n" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = plt.hist(Ahat[:,:,:,~gtab.b0s_mask].ravel(), 500)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "attenuations = Ahat_tissue[:,:,:,~gtab.b0s_mask]\n", "np.clip(attenuations, a_min=-2.5, a_max=2.5, out=attenuations)\n", "x = plt.hist(attenuations.ravel(), 500)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(40, 45, 12, 3, 3)" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# This is our starting value of D\n", "tenfit.quadratic_form.shape" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.00217376, 0.00251089, 0.00311029, 0.00316145, 0.00266007,\n", " 0.00277519, 0.00263072, 0.00212369, 0.00178398, 0.00132135,\n", " 0.00038067, 0.00058536])" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tenfit.quadratic_form[20, 20, :, 2, 2]" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "def create_feature_spatial_manifold(S0, D):\n", " b0_shape = S0.shape\n", " d_shape = D.shape\n", " if (b0_shape[:3] != d_shape[:3]):\n", " raise ValueError(\"b0_shape = %s and d_shape = %s.\" \\\n", " \"The first three dimensions need to match\" \n", " % (b0_shape, d_shape))\n", " manifold_shape = d_shape[:3] + (6,)\n", " manifold = np.empty(manifold_shape, dtype=D.dtype)\n", " manifold[...,0] = D[...,0,0]\n", " manifold[...,1] = D[...,1,1]\n", " manifold[...,2] = D[...,2,2]\n", " manifold[...,3] = D[...,0,1] * np.sqrt(2)\n", " manifold[...,4] = D[...,1,2] * np.sqrt(2)\n", " manifold[...,5] = D[...,0,2] * np.sqrt(2)\n", " return(manifold)\n", "\n", "manifold = create_feature_spatial_manifold(S0s, tenfit.quadratic_form)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "def dx_manifold(manifold, idx):\n", " \"Backwards difference of manifold co-ordinate idx along the x-axis\"\n", " dx = np.empty(manifold.shape[:-1] + (1,), dtype=manifold.dtype)\n", " dx[1:,:, :, 0] = manifold[1:, :, :, idx] - manifold[:-1,:, :, idx]\n", " dx[0, :, :, 0] = 0.\n", " return(dx)\n", "\n", "def dy_manifold(manifold, idx):\n", " \"Backwards difference of manifold co-ordinate idx along the y-axis\"\n", " dy = np.empty(manifold.shape[:-1] + (1,), dtype=manifold.dtype)\n", " dy[:,1:, :, 0] = manifold[:, 1:, :, idx] - manifold[:, :-1, :, idx]\n", " dy[:, 0, :, 0] = 0.\n", " return(dy)\n", "\n", "def dz_manifold(manifold, idx):\n", " \"Backwards difference of manifold co-ordinate idx along the z-axis\"\n", " dz = np.empty(manifold.shape[:-1] + (1,), dtype=manifold.dtype)\n", " dz[:, :,1:, 0] = manifold[:,:, 1:, idx] - manifold[:, :, :-1, idx]\n", " dz[:, :,0, 0] = 0.\n", " return(dz)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "def dpx(p):\n", " \"\"\"Backwards derivative of the p,q,r vectors wrt x\"\"\"\n", " p = np.squeeze(p)\n", " ret = np.empty_like(p)\n", " ret[:-1, :, :] = p[1:, :, :] - p[:-1, :,:]\n", " ret[-1, :, :] = 0.\n", " return(ret)\n", "\n", "\n", "def dpy(p):\n", " \"\"\"Backwards derivative of the p,q,r vectors wrt y\"\"\"\n", " p = np.squeeze(p)\n", " ret = np.empty_like(p)\n", " ret[:, :-1, :] = p[:,1:, :] - p[:, :-1, :]\n", " ret[:, -1, :] = 0.\n", " return(ret)\n", "\n", "def dpz(p):\n", " \"\"\"Backwards derivative of the p,q,r vectors wrt z\"\"\"\n", " p = np.squeeze(p)\n", " ret = np.empty_like(p)\n", " ret[:,:, :-1] = p[:, :, 1:] - p[:, :, :-1]\n", " ret[:,:, -1] = 0.\n", " return(ret)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "import logging\n", "logging.debug(\"Test\") # somehow gets jupyter notebook logging to work\n", "\n", "GD_LOGGER = logging.getLogger(\"GD\")\n", "#GD_LOGGER.addHandler(logging.FileHandler(\"GD.log\"))\n", "\n", "def print_trace(arr, name=\"array\", idx=None, logfunc=GD_LOGGER.debug):\n", " \"\"\"Print out information regarding array (optionally at idx)\"\"\"\n", " if idx is None: # print out shape, nan's etc about array\n", " nanmax = np.nanmax(arr)\n", " nanmin = np.nanmin(arr)\n", " nanfrac = np.isnan(arr).sum() / arr.size\n", " inffrac = np.isinf(arr).sum() / arr.size\n", " shape = arr.shape\n", " retstr = \"%(name)s: %(shape)s: nanmax=%(nanmax).2f, nanmin=%(nanmin).2f\"\n", " if nanfrac > 0.01 or inffrac > 0.01:\n", " retstr += \", nanfrac=%(nanfrac).2f, nffrac=%(inffrac).2f\"\n", " else: # print out value at idx\n", " arr_idx = arr[idx]\n", " arr_idx_str = str(arr_idx)\n", " newline = \"\\n\" if len(arr_idx_str) > 50 else \"\"\n", " retstr = \"%(name)s: \" + newline + arr_idx_str\n", " logfunc(retstr % locals())\n", "\n", "GD_LOGGER.setLevel(logging.WARN)\n", "#GD_LOGGER.setLevel(logging.INFO)\n", "#GD_LOGGER.setLevel(logging.DEBUG)\n", "\n", "GD_LOGGER.debug(\"Test message at debug level\")\n", "GD_LOGGER.info(\"Test message at info level\")\n", "\n", "print_trace(f_init, \"f_init\")\n", "print_trace(f_init, \"f_init\", [1, 21, 5, Ellipsis])" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "beta = 10.\n", "alpha_reg = 1.\n", "alpha_fid = 1.\n", "UNDERFLOW_MIN = 1e-20" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "scrolled": false }, "outputs": [], "source": [ "num_iterations = 1000\n", "num_gradients = np.sum(~gtab.b0s_mask)\n", "dt = 0.1 / (b_value * num_gradients)\n", "f_curr = f_init.copy()\n", "qk = gtab.bvecs[~gtab.b0s_mask]\n", "manifold = create_feature_spatial_manifold(S0s, tenfit.quadratic_form)\n", "\n", "# trace out the value of idx\n", "idx = (2, 21, 5, Ellipsis)\n", "GD_LOGGER.debug('idx = %s', idx)\n", "print_trace(f_curr, \"f_init\", idx)\n", "print_trace(fmax, \"fmax\", idx)\n", "print_trace(fmin, \"fmin\", idx)\n", "\n", "print_trace(manifold * 1000, \"manifold * 1000\", idx)\n", "print_trace(Ahat, \"Ahat\", idx)\n", "\n", "np.clip(manifold, a_min=0.0, a_max=None, out=manifold)\n", "print_trace(manifold * 1000, \"manifold * 1000\", idx)\n", "\n", "loss_list = []\n", "idx_list = []\n", "\n", "for i in range(num_iterations):\n", " \n", " GD_LOGGER.info(\"Starting Iteration: %d\" % i)\n", "\n", " X4x = dx_manifold(manifold, 0)\n", " X4y = dy_manifold(manifold, 0)\n", " X4z = dz_manifold(manifold, 0)\n", " \n", " #print_trace(X4x, \"X4x\")\n", "\n", " X5x = dx_manifold(manifold, 1)\n", " X5y = dy_manifold(manifold, 1)\n", " X5z = dz_manifold(manifold, 1)\n", "\n", " X6x = dx_manifold(manifold, 2)\n", " X6y = dy_manifold(manifold, 2)\n", " X6z = dz_manifold(manifold, 2)\n", "\n", " X7x = dx_manifold(manifold, 3)\n", " X7y = dy_manifold(manifold, 3)\n", " X7z = dz_manifold(manifold, 3)\n", "\n", " X8x = dx_manifold(manifold, 4)\n", " X8y = dy_manifold(manifold, 4)\n", " X8z = dz_manifold(manifold, 4)\n", "\n", " X9x = dx_manifold(manifold, 5)\n", " X9y = dy_manifold(manifold, 5)\n", " X9z = dz_manifold(manifold, 5)\n", "\n", " g11 = np.ones(X4x.shape) + beta * (X4x*X4x + X5x*X5x + X6x*X6x + X7x*X7x + \n", " X8x*X8x + X9x*X9x)\n", " g22 = np.ones(X4y.shape) + beta * (X4y*X4y + X5y*X5y + X6y*X6y + X7y*X7y + \n", " X8y*X8y + X9y*X9y)\n", " g33 = np.ones(X4z.shape) + beta * (X4z*X4z + X5z*X5z + X6z*X6z + X7z*X7z + \n", " X8z*X8z + X9z*X9z)\n", " g12 = beta * (X4x*X4y + X5x*X5y + X6x*X6y + X7x*X7y + X8x*X8y + X9x*X9y)\n", " g23 = beta * (X4y*X4z + X5y*X5z + X6y*X6z + X7y*X7z + X8y*X8z + X9y*X9z)\n", " g13 = beta * (X4x*X4z + X5x*X5z + X6x*X6z + X7x*X7z + X8x*X8z + X9x*X9z)\n", "\n", " #print_trace(g11, \"g11\")\n", " \n", " C11 = g22*g33 - g23*g23\n", " C22 = g11*g33 - g13*g13\n", " C33 = g11*g22 - g12*g12\n", " C12 = -g12*g33 + g13*g23\n", " C23 = -g11*g23 + g13*g12\n", " C13 = g12*g23 - g13*g22\n", "\n", " #print_trace(C11, \"C11\")\n", " \n", " detg = g11*C11 + g12*C12 + g13*C13\n", " #print_trace(detg, \"detg\")\n", "\n", " gm05 = 1. / np.sqrt(detg)\n", " #print_trace(gm05, \"gm05\")\n", "\n", " #del g11, g22, g33, g12, g23, g13\n", "\n", " p4 = C11*X4x + C12*X4y + C13*X4z\n", " p5 = C11*X5x + C12*X5y + C13*X5z\n", " p6 = C11*X6x + C12*X6y + C13*X6z\n", " p7 = C11*X7x + C12*X7y + C13*X7z\n", " p8 = C11*X8x + C12*X8y + C13*X8z\n", " p9 = C11*X9x + C12*X9y + C13*X9z\n", "\n", " q4 = C12*X4x + C22*X4y + C23*X4z\n", " q5 = C12*X5x + C22*X5y + C23*X5z\n", " q6 = C12*X6x + C22*X6y + C23*X6z\n", " q7 = C12*X7x + C22*X7y + C23*X7z\n", " q8 = C12*X8x + C22*X8y + C23*X8z\n", " q9 = C12*X9x + C22*X9y + C23*X9z\n", "\n", " r4 = C13*X4x + C23*X4y + C33*X4z\n", " r5 = C13*X5x + C23*X5y + C33*X5z\n", " r6 = C13*X6x + C23*X6y + C33*X6z\n", " r7 = C13*X7x + C23*X7y + C33*X7z\n", " r8 = C13*X8x + C23*X8y + C33*X8z\n", " r9 = C13*X9x + C23*X9y + C33*X9z\n", "\n", " #print_trace(p4, \"p4\")\n", " \n", " #del C11, C22, C33, C12, C23, C13\n", "\n", " # Beltrami operator incrementals\n", " b4inc = (dpx(p4 * gm05) + dpy(q4 * gm05) + dpz(r4 * gm05)) * np.squeeze(gm05)\n", " b5inc = (dpx(p5 * gm05) + dpy(q5 * gm05) + dpz(r5 * gm05)) * np.squeeze(gm05)\n", " b6inc = (dpx(p6 * gm05) + dpy(q6 * gm05) + dpz(r6 * gm05)) * np.squeeze(gm05)\n", " b7inc = (dpx(p7 * gm05) + dpy(q7 * gm05) + dpz(r7 * gm05)) * np.squeeze(gm05)\n", " b8inc = (dpx(p8 * gm05) + dpy(q8 * gm05) + dpz(r8 * gm05)) * np.squeeze(gm05)\n", " b9inc = (dpx(p9 * gm05) + dpy(q9 * gm05) + dpz(r9 * gm05)) * np.squeeze(gm05)\n", "\n", " #print_trace(b4inc, \"b4inc\")\n", " \n", " Ahat_tissue_curr = \\\n", " qk[:, 0] * qk[:, 0] * manifold[..., 0:1] + \\\n", " qk[:, 1] * qk[:, 1] * manifold[..., 1:2] + \\\n", " qk[:, 2] * qk[:, 2] * manifold[..., 2:3] + \\\n", " qk[:, 0] * qk[:, 1] * manifold[..., 3:4] * np.sqrt(2) + \\\n", " qk[:, 1] * qk[:, 2] * manifold[..., 4:5] * np.sqrt(2) + \\\n", " qk[:, 0] * qk[:, 2] * manifold[..., 5:6] * np.sqrt(2)\n", " np.clip(Ahat_tissue_curr, a_min=1e-7, a_max=None, out=Ahat_tissue_curr) # prevent underflow\n", " Ahat_tissue_curr = np.exp(-b_value * Ahat_tissue_curr)\n", " print_trace(Ahat_tissue_curr, \"Ahat_tissue_curr\", idx)\n", " \n", " A_bi = Ahat_tissue_curr * f_curr + (1 - f_curr) * Awater_scalar\n", " print_trace(A_bi, \"A_bi\", idx)\n", "\n", " fidmat = f_curr * (Ahat[..., ~gtab.b0s_mask] - A_bi) * Ahat_tissue_curr\n", " print_trace(fidmat, \"fidmat\", idx)\n", " \n", " fid4inc = (fidmat * (qk[:, 0] * qk[:, 0])).sum(axis=-1)\n", " fid5inc = (fidmat * (qk[:, 1] * qk[:, 1])).sum(axis=-1)\n", " fid6inc = (fidmat * (qk[:, 2] * qk[:, 2])).sum(axis=-1)\n", " fid7inc = (fidmat * (qk[:, 0] * qk[:, 1])).sum(axis=-1) * np.sqrt(2) # 2 / sqrt(2)\n", " fid8inc = (fidmat * (qk[:, 1] * qk[:, 2])).sum(axis=-1) * np.sqrt(2)\n", " fid9inc = (fidmat * (qk[:, 0] * qk[:, 2])).sum(axis=-1) * np.sqrt(2)\n", " print_trace(fid4inc, \"fid4inc\", idx)\n", " print_trace(fid5inc, \"fid5inc\", idx)\n", " print_trace(fid6inc, \"fid6inc\", idx)\n", " print_trace(fid7inc, \"fid7inc\", idx)\n", " print_trace(fid8inc, \"fid8inc\", idx)\n", " print_trace(fid9inc, \"fid9inc\", idx)\n", " \n", " #incrementals are the sum of the fidelity incrementals and the beltrami incrementals\n", " def increment_manifold_coefs(fidinc, beltinc):\n", " return(alpha_fid * b_value * fid4inc + alpha_reg * b4inc)\n", " \n", " x4inc = increment_manifold_coefs(fid4inc, b4inc)\n", " x5inc = increment_manifold_coefs(fid5inc, b5inc)\n", " x6inc = increment_manifold_coefs(fid6inc, b6inc)\n", " x7inc = increment_manifold_coefs(fid7inc, b7inc)\n", " x8inc = increment_manifold_coefs(fid8inc, b8inc)\n", " x9inc = increment_manifold_coefs(fid9inc, b9inc)\n", "\n", " finc = (-b_value) * (\n", " (Ahat[..., ~gtab.b0s_mask] - A_bi) * (Ahat_tissue_curr - Awater_scalar)).sum(axis=-1)\n", " print_trace(finc, \"finc\", idx)\n", " \n", " loss_euc = np.linalg.norm(Ahat[..., ~gtab.b0s_mask] - A_bi, axis=-1)\n", " print_trace(loss_euc, \"loss_euc\", idx)\n", "\n", " loss_vol = np.sqrt(detg)\n", " print_trace(loss_vol, \"loss_vol\", idx)\n", " \n", " if idx is not None:\n", " idx_list.append([loss_euc[idx].copy(), f_curr[idx].squeeze().copy(), finc[idx].copy(), \n", " manifold[...,0][idx].copy(), x4inc[idx].copy() ])\n", " \n", " loss_euc = np.sum(loss_euc)\n", " loss_vol = np.sum(loss_vol)\n", " loss = alpha_fid * loss_euc + alpha_reg * loss_vol\n", " \n", " loss_list.append([loss_euc, loss_vol, loss])\n", " GD_LOGGER.debug(\"loss = %.2f, loss_euc=%.2f, loss_vol=%.2f\" %(loss, loss_euc, loss_vol))\n", " \n", " manifold[...,0] -= dt * x4inc\n", " manifold[...,1] -= dt * x5inc\n", " manifold[...,2] -= dt * x6inc\n", " manifold[...,3] -= dt * x7inc\n", " manifold[...,4] -= dt * x8inc\n", " manifold[...,5] -= dt * x9inc\n", "\n", " np.clip(manifold, a_min=UNDERFLOW_MIN, a_max= 1 - UNDERFLOW_MIN, out=manifold)\n", " print_trace(manifold * 1000, \"manifold * 1000\", idx)\n", " \n", " f_curr[...,0] -= dt * finc\n", " # make sure that the f values stay constrained\n", " f_curr = f_curr.squeeze()\n", " np.clip(f_curr, a_min=fmin, a_max=fmax, out=f_curr)\n", " f_curr = f_curr[...,np.newaxis]\n", " print_trace(f_curr, \"f_curr\", idx)\n", " #set_trace()\n", " \n", "loss_array = np.rec.fromrecords(loss_list, names=\"fidelity,beltrami,loss\")\n", "idx_array = np.rec.fromrecords(idx_list, names=\"loss,f,finc,x4m,x4inc\")" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot tissue map, loss functions for idx\n", "fig, axes = plt.subplots(2, 2)\n", "axes[0,0].set_title(\"f\")\n", "axes[0,0].plot(idx_array.f)\n", "axes[0,1].set_title(\"loss\")\n", "axes[0,1].plot(idx_array.loss)\n", "axes[1,0].set_title(\"x4m\")\n", "axes[1,0].plot(idx_array.x4m)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#loss functions\n", "loss_array.loss[0:2] = np.NaN\n", "plt.plot(loss_array.loss, label=\"loss\")\n", "loss_array.fidelity[0:2] = np.NaN\n", "plt.plot(loss_array.fidelity, label=\"fidelity\")\n", "loss_array.beltrami[0:2] = np.NaN\n", "plt.plot(loss_array.beltrami, label=\"Beltrami\")\n", "plt.gca().set_ylim(ymin=0)\n", "plt.xlabel(\"Iteration\")\n", "plt.ylabel(\"Loss Value\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# free water map after iterations\n", "plt.set_cmap(\"viridis_r\")\n", "plot_3d_z_indices(1 - f_curr.squeeze(), range(0,12, 2), transpose=True, num_rows=2, num_cols=3)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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1Yb3vaYzpsbk4Te9b/E7qfeM6/aNbxxC9bsWCet30O0nZj06vkv1b22bJ/oPyhbIP9ell88iZt8ue7YnKXhXLkb09EZS9LK1V9qtOeEH2QzLWy37pE1+T3c0If4/sCZfPhB8QaEjZfI5e+aJJn70TGpyy/7piiZz+6EMulz19u95vtYf0fv3AEn1Msq6nVPZ7ztAH7Pc3HiZ7OKaPazpc1r1QVB9Tdsb19Jtdto2IyzHhIcF22c/I1nvO489aJfuyUKXsx6WnPmY/7oPZctqMTr3uBFv0uNc5RGarCefJvuq8O2X/WfNY2ct9ep91QsZW2d+P6HFvS7hI9lyfPuYKJ/S6+beO1OOCmdn3T35U9h88q19fNx1Jve29163nz22fb/bhbs4R/pVGjRplS5Z8ev/y29/+dud/BwIBu/vuu3f7sfkkDAAAAAAA6F928ZbT+xquCQMAAAAAANAHOAkDAAAAAADQB/g6EgAAAAAA6D+cv//ph/gkDAAAAAAAQB/gJAwAAAAAAEAf4CQMAAAAAABAH9ila8KEQiH7whe+YKtWrbL09HQrKSmxX/3qVzZ8+HA75phjbMuWLZabm2tmZnPmzLFrr73W9THb4kH7z+pTUvbIiB45ffMo/fh/bpsm+9l5S2VfFynVT+Diu49f2Kvp75z9f7LHk3r5nJKp7ytfF0+X/ZKHvy67mxfOv7lX03udpOwDfG2yBzYGUrbc9V1y2tjLmbJn1oZlr0v3yz4irVb2g3K3yr7cRsrenUj9s5uZDfC2y74mWij7ObnLZB/m0+vWcz0Zsr/aM0b2E2fo5/95+VuyfxDR205TQs//ivbjdv53PByzt/7fy9axucW8Aa8F8tJtwo8KbMDgoP3w4tXWWBO29CyvmZkddVaRnfzFAfKxzcyiSa8t7x6csj900W1y+gvb58nuqdfb1nnT9fKbX3Wi7EPSGmVfHR4o++CAnt7vxGQv9HbKvqpbP3+GJyr7CenbZa+Ny2zLwoNk/0b+Ftmv2z5F9q8VLZb9tHeuSNlKt+pl2zpcj23B5oTstc05stfE0/TzR/S2menRXwx/N5wn+4S0FtlfD5XLfmiwWvYXu0pkrwoVyJ7u1evmb+uPlr23/C5fvJ+Ut83MzGLhuD1+wzvWuKHd/EGvZRQE7MTvTrKCgZ32PxetscaaiGX8Y1ycXWinfLHUPKbHJTMzj6VevxZ05sppg9fWyL71lUrZQ1V6wz5q1GuyL6w/UPalgaGyj8/U898W1dtGOKG33elZa2V3k+vRx0XhpFf2t0J6bGiOZ8mu9plmZhfk6f2a10l93FT71zI57VDPBtk9Mb1uv3b2LbKvjOhjsrELviH7A2feKXtHIih7bTwi+2EBfUwVT66TfWm3XvdXdOhxtzum9xtvO/rxf3f6b2Q/IqjH3Xva9eMHXY4pntquxwYz/X4OZsl+eovqXb4w7+WXX24nn3yyOY5jP//5z+2yyy6zV1991czMbrvtNjvzzDP31DwCwD7rgNPH2IDDBpnjOLb+4ZX22++usO/dN9rMzC7+TqVNPSF/L88hAPStSWcPsWFHlprjOLb0gQ327I3L7ZgHdrxRvuQ/B9m0E/QJMQAA9me79HWkYDBop5xyijl/P9N06KGH2ubNm/fkfAHAPs8b8FnZ4ZU7x8bCcaXWUK1/IwgA+zNfwGvDpw/YOS6WH1hgbTXde3muAADYd3yua8LcfvvtdsYZZ+z8/29/+9s2YcIEO//8823jxo3/spkDgP5k/UPv20HHffQb3j/fss1umLXS7vjmeqvfGtqLcwYAe8c792+wEcd89JWOP9+yzf7j1A/s9m9utLqtnLQGAPSC53P82Qfs9mzcdNNNtn79evvRj35kZmZ//OMfbfXq1bZixQqbPn26zZo16zOnmz9/vlVUVOz8E+vW35EDgP5k9R+WWee2Njv/ugozM7vy5gPslucn2I+fGmejp2bbzV/97O9Ff3JsjHTr63IAQH/xl9+usZaqTjvm6rFmZnbVLQfYrc+Pt58sHGujp2bZzZev/8zpPjkuhrpdLrYEAEA/slyU6ZEAACAASURBVFsnYW655RZ79NFH7dlnn7WMjB0X1xw0aMdFBh3Hsa9//eu2ceNGa2pq+tS08+bNs23btu3848vQFwkDgP5i7Z/es+rXNtkRt55igfQdFyAsLNtxoT/HcWzmJaXWUBW2jpZPn2D55NiYlrHLl+oCgH3WW39YZ2terrHzf3G4+dN3jGuFZTsuouk4jp14SYnV7+K4GMzQF3YFAKA/2eWTMPPnz7cHHnjAXnzxRcvL2/Fx+1gsZnV1dTv/zSOPPGKlpaVWWKiv5A0A+4u1f15hVS+tt+k/m2Vp2TtOvMRjSWtr/OjTfm8/32w5RX7LzucEC4D939v3rrNVz26zL/z6CAvm7DjxEo8lrfWfxsW3nmuxXMZFAMC/oV3a823bts2uu+46Gzp0qM2YMcPMzAKBgL3yyit26qmnWjgcNo/HY0VFRfbkk0/u0RkGgH1Fd32nvX/nEsscmGOLv/GUmZm9mxGy/7x3lN18+VqLRpLmccyy83123a9G7OW5BYA9r72ux16+daXlVWTany57w8zMvH6P3XT/YPvpV9ZbLJIwx+NYdr7Prr9r2F6eWwBAf5W0/fwW1RUVFZZMfvZ97pcuXfq5njjoidmx+atT9thQ/dHTiTnbdE/fKnuGo6+7kO3V972/5tEvyu7mj+f8XPbVkTLZY9Ypu99lfRzl793F8FZedIfsD3YMkf1ns++R/emWSbJ//4kvyJ5b89nrq5mZ89ZKOW3pB5myxzu7ZPcfd7DsFz10tezXzFoo+/ILb5P9t22jZf/G01+SfdEXbpb9rdBA2atievlkOhHZj8n5UHa3deOcDcfL/r2Kp2UPJfRXJQdnNH/0P0PMxiw/92O9qiffnus2m/qbqR/7++VmtrzRzKxGPn7CPNYcTb0OnvXYNXL6HL34zUnoweGLT1wh+7SD1/Zq+mMO09vfV0pekz1iet/QnQjIfmOpfvypD8+T3c1Ls2+RvSGWLfsHEb1v29SlP2k6c/H1sgcbUn8ANn3pGjmtv71Cdl99u+y1x+p5j5teN6Nx/drXuvQ3u0bKfuVT02X/zel3yz7jEb3sb5t1r+xmemztjOt1+4Kiv8p+13mvyD52wTdkf6qrUvZ/yClNt++8d9an/v6Hzx1pnkvM0v7+/yEzu/tDM/vQrK3ns68N8w9eJ2GV/uaUfVHnGDn9+hV63c1yuXlT6UJ9TZq/HTJY9umFn31NsH8YFdT7heXdQ2Q/MLta9gKfPmYc7tcXjt8W028XmhNB2fM8+pgz6NHXiTw9WCd7UzxL9tZEuuzDFlyesg19WS+bZGmB7IEWve6cuuwrsn937DOyPzv7VtmH+fTP/lyPPuZpdXlt3w7rL1WM8LfI3hBolL1JHA+ZmQ0ItMleHc6X/S9d+hdk49OWyd4W18vXa6nfj5iZbdxcIjv2X/vI9YEBAAAAAAD2b3wRFwAAAAAA9C/989tIfBIGAAAAAACgL3ASBgAAAAAAoA9wEgYAAAAAAKAPcE0YAAAAAADQryS5JgwAAAAAAABS2WufhIknPVYTSX3v9rHZ2+X0M7JWyb46XCb7UcEO2Rd2lsu+5IJbZG9L6PvCD/FlyO5xqmVfH43JfuaCb8neW+Pvv1r2i098TfbuRED2wcEm2e86+zeyf+Xpy1K20iGD5LSJ2nrZfYMrZI/mJGT3hvS5z2Jfu+yT/3St7E+ed6vsp5z/gewz/qzXnVvP+oPsq8MDZT8hc7Xs3Qk9LH25aLHst9ceL3tX0i/7qx1jZD87b6nsV/72G7KbPS1rPOlYfSgrZX/srJ/J6c98+puy+1v1+vf+uXfI/liXHlv/d/aTsrcm0lx6uuzxpJ7/PE+37FMfnid7bxV4vbJHk7pXuOyVm0OZspeMbpA9sawkZYs36nHXcemWlytz+ma97myMpJ43MzO/Ny77/S2Hyn5Q5ibZ3RR7u2R/abY+Luh2ee1r0utkz/PqdTvoicr+h/bBsr/gMv+PdkyUfcGHU2QvfTv1vrFKz7o5ljS/k/q4pymSesw0M9tw/l2yH/be2XoGPiyQ+cVVY2V/qUUvu++f/KjsUzP0uvtG50jZs5N6YKmL63F1uF8f07qtWwcFN8veHNev34JOfcw8LE0ft31n7VmyD3kq9Qror26V00YH6HHPcXk/4Hkx9XshM7NtwwtlH+JvlH1rTI8b0WSO7JsjRbJPCm6T3evyKYXWuH5t3faZCZdjgo5oUPaAR7+fuq99nOwjAnrcdlt+aXX6mLRHVvRnfB0JAAAAAAD0L07//D4SX0cCAAAAAADoA5yEAQAAAAAA6AOchAEA/H/27js+ijrx//h7+yab3gMh9N6LCMqhWMAKSj0b6O889byzoZ7te6d31rNgr6dnw4YdRUSxAYogiIKgdFIgvWc32WyZ3x/x8BTmPQgYEng/Hw8ejztfmc1kduYzk8nsjIiIiIiItADdE0ZERERERERE2hQ9olpEREREREREREzpJIyIiIiIiIiISAs4YB9Hctki6BdTYNobDf7c9G0h/tz1Y2K30T7wxatpf2zSE7SXRPj5q9PmzKS9rXthygO0F4RSaS8Lx9P+2OIxtKeuOo52b5b5tWklx2TTaTMWOWivHpROe+x2vm4Y/OXxbsVA2s8e9xntdRbbTjt7kPZ1Zz1E+6YQn95n8fonv3IV7VYW/f4u2qelL6e9gzNA+8mJ39B+R8FJtDsbDdqt2G0GUj1+0/5k+e/o9CcN5/NfGEiifVM4SvsgTyHtOU4P7WPnXEL70sn30P6+vyPtR8Xz9/e3NuTVK2h/6bQHaY8afP05PH0b7Z/fejjtyWvKTJstK5NOGy4tpz3aOYd/7/UR2q9bMon2TSfw/fLJ60+lPRzlY/O6qfy92RTi783ihk6057oqaW/nqqLdyopAl32a/pWaobSzYzYA8H7lo71skPnyi35IJ0VlQxymv32xab9k7Pt0+hvL+tJ+f6+XaT979KW0290NtBvg++UVdZ1pPz9tEe3xjkbaD4vZwqe3821z4Kv7tt/+esq9tJ/16tm0nzhqFe0XpPPjItdj/JjUU1Bh2oy4GP7aVfy9Lx/Av3fWEr7d/zv1BP79p1m8dzF5tI+JMd8nAMDCAN8vnP7m5bRbueaEubTbbXzcTXTwfX7fuB2/ep7+V1WYj2shi4P6mnAs7d5y/lkavnYJbD/+a4N0JYyIiIiIiIiISAvQSRgRERERERERkRagkzAiIiIiIiIiIi1Aj6gWERERERERkTbEBtjb5k1hdCWMiIiIiIiIiEgL0EkYEREREREREZEWoI8jiYiIiIiIiEibYrTNTyMduJMwDlsUuc4q076gvh+dfkzcOtrdNv6O/HDWw7SHEaF9S4g/t/5g18fFl89gt/l7CwA95k+lvf3H/P2zh/j3T9oYNm1VPTx02tLRGbSnraqlPfG7EO3RGBftS9r1pv2aU+6jvSzio33Mq5fSvq/mTr2H9n9Pepz26mjsPn3/LAd/f7aEEmhPd/hpL2vgyzflrALaS96nGU5bBF1iyk37pgBfP6MWe6NcXyXtH/t70d7fy3++do462ldMnkW7y+ag/VRfPu195syk/UCri3ppf6O+A+1vvTeS9s559bTbAo3mMTaGTutIT6U9anFtbX17/t66SvkLXLz9SP76TXxs31yfTnvE4Pv1H5oyaT/My9fNgnAi7yG+fEfEbKY9wU7eWwDLAl1pb2ex315Y05d2G98tI3vkDtOW57aY2ILVuLQ9lEx7WSSe9m4j82hPcjfQfsMR79H+TTCH9hQHP644JX417TkWR/tDXr2Kf8E+GvLqFbR/PeVe2mcWHk/7mY/xcb/jSv7+FUztaNraf8S3C1iMGx2n8e22Kt/8ewOAo4l/+4fXjqb9dx230N4+awHty/1daL/+hLdov+3902g/NnYD7W8VD6I9w8WPOWoifL/WEOHH5Blu/vora/j7t+wHvvxcGYf275OHMn0cSURERERERESkBegkjIiIiIiIiIhIC9A9YURERERERESkbWmj94TRlTAiIiIiIiIiIi1AJ2FERERERERERFqAPo4kIiIiIiIiIm2KHlH9K0Vgw/aI+eMac9z8MaqNBn+k2JNV/BHXZyetpL29gz8md/wc/pjf16fyx+1NmsMf19faeWx8+ddE+aMy49e5aY/bWkN7dS/+OMnY7ebP9HME+WNMvWcW095YlEa7u5I/T9DeZP74bADw5fHHuMZaPAd0TSN/xO2qM/m6OfjFfVs3u7n48h0/50LaX5jyAO0fBjrRnuXk604IfPmmIED7UZmbaB8Qyx+V+ldaASei6OktMu1WY2Mvt/m0APBNYy7t6U7+iG+rsfe9AF///v7eFNqtWD3K9EC7/eSXaPdH+faxqp4/7jJ3Pn8Uri3Ex4doKnlEu8WjVm0xfN4R5TmmjH9Bxgq+31jcnT9i+bEhs2kfaPEY4f4Wj9G1smHqI7R7bfxRt6O8ftrn1PPHGHdxl9Ke7OSvbzV21oX549UbRvLHo1/X2fwxzWc7+XvvcEXQoa/5vnmIxWNkk+z8vY+18f3ynzt8TPtxMfz7P1rdm/YjYjfSPuZ1/gjp5ybwda84yMft39rCiXfTft6W02n/bkc27R2WB2mvHc63nbPO+9C0fbpwKJ3WyuhU/t5uu4nv09//cBjt3mX8ePijEv77kH8IPx5ftrwn7ftq7Bt83T565He0V4R8tCe7+DFdjpuPyx47fzz88m+Ooh0Ovl99aMqTtJ//IH95abv26CRMY2Mjfv/732PdunWIiYlBRkYGHn30UXTr1g2lpaWYPn06Nm/eDI/Hg0ceeQSjR/Nn1ouIHAzCwQjmXrMc5Vvq4PQ6EJvsQcYtmcjq6EVNRQiP/XULSvKDcLntOPemjuh9GD9YEhFp66JNIZTc/ypC28tgcznhSPQh/fxTAQDV5WHcfdUOFOU3weW248//zEL/4fyPXiIiIgebPb4nzAUXXID169fj22+/xYQJE3D++ecDAK699lqMGDECGzduxNNPP40zzzwToRA/aygicrAYOKkz/vj28fh/c45F9zHZePKGbQCAV+4uRLeBcZj14QBccHsnPDxzM8Ihi0sFREQOAgnHDUOHey9Fh7v+DN+w3ih9/G0AwH/uKkWvwTF46uNuuOLObPzriu0Ih/hfikVERA42e3QSxuv14qSTToLN1vyhqxEjRmDbtm0AgDlz5uCiiy4CABx22GFo164dPvvss99mbkVEWhGnx4Guv8vaOTa265+Csu3Nl0V/Ob8Sx56RAQDoOiAOyRlu/LCcX7IuItLW2d0u+Ab32DkuerrnIFxWDQBY/F4tTjozGQDQc0AMUjOcWLOcf1xARETElM326/+1Anv1dKT7778fEyZMQEVFBUKhELKysna2Tp06IT8/f7/NoIhIW7HyxU0YemwS6qrCiIQMJKX/9Dn89Bw3yov4/YJERA42NfO/hG9YL9RWhREOAynpP30SPjPHhdIdunpaREQOLb/6JMxtt92GTZs24fbbb/9V082aNQs5OTk7/zX4dVm+iBw8lj75A6oK/Jh2Jb8B4C/9cmxsDPAbq4qItBVVb36GUHEFUs447ldN98txMdKgE9giInLw+FUnYe6++2688cYbmD9/PmJjY5Gamgqn04ni4p/uWL9t2zbk5u769I2ZM2eisLBw578Y315dhCMi0uose3YDNny8A1MeOgKeGAfik51wOG2oLvvpL7xlhU1Iy971KQS/HBu9sfzpTSIibUH1O0vgX/49sq87B3aPGwnJTjgcQGXZT08iKikMIaPdrk/u+eW46IjhT3AREZFDk2H79f9agz0+EzJr1iy89NJL+PDDD5GUlLTzv0+ZMgWPPfYYAOCrr77C9u3bcdRRFo/rEhE5SCx/fiO+f78Q0x4bBW/CT78oDD8hGR+91PzI2M2r61FV0oRew/V0JBE5+FW/+znqPl+D7BtmwOGL2fnff3diAt57sfmRsOtXN6CiJKynI4mIyCFnjx5RXVhYiCuvvBJdunTBmDFjAAAejwfLli3Dv/71L5xzzjno3r073G43Zs+eDZdr179q/FLEsGN7KMW0FzUlmTYAaO/kz3V32cO05zrjaO8++0+03zzhZdr/njeB9g+m3UX72Feupv1Ae9Nv/t4BwLVfTqK9XR7/yIU9wC899tTyj7PZQuavH1vK142617NoT7K4LLqiPz+gTP+qlvb4Av6zzakdTHtRUyLtO+LW0b78jHtor4zy+evzAl93fzjrYdr/VjqU9kG+PNq9dn5/gT+/dj7tD078D+1xjuDO/11T3IBP7lmD5JxYvPLHRQAAh9uOC14chRGXJuGN61fh0+PWwuGyY8LtQ7Etmgag2OSVm7ltEQzx8K9h7i4dQ/tRCetpv+Ld6bT/7cQ3aD89jr8/fU+7n/Y0B3//4mx8+1o48W7aUxz8SiMXeH+qpjvt8ysH0L58+65Xiv4v5xK+/bavLKe9Ymgq7fGFQdNmD/Jx2RblT7EJ+/i+P/7/bacdN6XRnPQa32/PSh9He2YMH3uXTuZj38jXrqS9x5yLabdite5uDabT3sFVQXuuRU+y8xvkjkrcSPuYQd8DACqLg7jy+VVI7+BB5K77EQHgctuQ9U4yrr0+Fv93RSUuOLYaLhdw+31JyImphwN83TIaHKh9M9u01/Xat4+4Bw2+3bd31ND+WQNfN5McfNmGLL6/lSX+nrT/4OfHNaNHrqW90M+Pyeub+JVKx7x/Be12P//5HU38T9fVfFiG0+Lez2/cZf5xuWQ3v6G+4eDr7mPv8HHpd2PW0J77gfmYDQCeH3bQHuzVjvatX/B1xz6QL/tpJyyhfVTcBtobDb7fKA0n0J4f5Pu8XDffZw71FtB+d/FY2l1pDbQ/OPQl2rOcemDDoWqPTsLk5OTAMHY/yGRmZuKDDz7YrzMlItIWJGbF4OY1J//sv0XRfMASl+bB9CdGHIjZEhE5YFKyPHh6/e7GvkKkpjvw6Gx+MklERORgt0cnYUREREREREREWo1Wco+XX0t3xxURERERERERaQE6CSMiIiIiIiIi0gL0cSQRERERERERaTta0SOnfy1dCSMiIiIiIiIi0gJ0EkZEREREREREpAUc0I8jRcn1Q2ku/tx0q+fKz0zeSHv32X+m/W/jX6X9ukWTaXeX8EX7WupA2l+fei/tU5ZdQHtTjYf2nt120F4R8NF+7fwzaM9cRjPiN9XwL4ju/pHoe8rmbzRtsctL6LS+b9y0b7i8M+09D99GuzE3Snu8x0H7J2U9aN+8Ipf25HEB2qcnLaf9hFeupt3K2lAT7etqs2lv76miPcPBx463ps6iPWJxm/WU+O9of6psNO1WDAAhsvq7LC677BlbTPuOUDLt757Ol0/UYvkMefUK2o8csY72L7fx7cvtCdPur4qh/cYj59JeF+HTz1o8jnaPxdif8j3f/uPy/LSHUmJprz6FT1+3Os60Za7g22ZDGv/ZXAE+bldWJ9BuH8mXfdrqEO3frutIe1anCtqf8A6lfc5pD9CeZOfLb+wbV9H+YYCP7cN9m2n3R/l+32Hj657VcVVhUwrtg2O30d7XZb5vtRrXAMBO3v7jn+X7pXAcXzf/eRI/5uvg4uvO65XDaD8jlR8UDffs2/zd+eg02oMp/PVDXcyPmQAg+VMv7fGFfFzuXse3XXsjPy6xRfj8V/fhY0vSulr++oXmx4UNQ/k+yennP3vGCr7dfbu5P+2ZG/NpN/x82XnyKml31pnvEwDAFeD7nJdz+bj5Yvgw2r0b+Lp13u8X0N47hv8+szrQgfboPl6PcN3A92nv4+bHrEe9zvcLAP99UNou3RNGRERERERERNoWW9u8KYw+jiQiIiIiIiIi0gJ0EkZEREREREREpAXo40giIiIiIiIi0qboEdUiIiIiIiIiImJKJ2FERERERERERFqATsKIiIiIiIiIiLSAVntPmP7eAtq/buhE+yVvnEj7uDFf037Twkm0W338LOwzaN8UyKC9PuKl3eWK8Bko4W/temc27bGb3LS3/55//7oODtprxifT3nn2dtqdfv79i8aa/3yZT/B1y9avB+1Wb/7ajTm09+gU5C9gIfBAe9ojx0Vpf3nDUNq/zeSvf+2pb9Ke5aqm/Ymyo2hfX8q3jXaxNbRbjR3v1g2gfXriKtq/aOTzd1baUtrn09osQlayzU1JdNqqsI/24bGbaa8zXLSf8dYltN944mu8fzqRdkcdHzsCbj62pq7mG+g/A6fT/tdj36UdTr59BbNDtFfa+Nhc3ZW/fw25/PW7pRXT7ji2wrRVHhFLp61v8NDeWMTn3ZYXz3smX7a1f+bbfnyErzuVK/m2+9p7mbS/aj+Gdn8HPv/ReL7fuvPrcbQP77SN9ouyP+Hf3+B/d6uN8uOONFcd7UmOAO33V3UzbfVRvs+3xUTgnVxi2utW8PfuqfFP0G638feui7Oe9huyPqQ90c7XzYsLj6N9zQP9aW//lfmyAYCGLim0l9fH0O6t5uuudwdfN2w7ymhHOMx7ZjrNUQcf9+u68rEnJtF8bMs7lb93njJ+vOzmh0TwFVuMG+XmYzYA2LwW43KnVNrDsfznizr5sk38lK87GV9U0W5sXEv77Do+LtZ34stv+jGLaO/kKqfdlczX/clxfJ9bF+XLb9yob2h/9y6aBbD+pbyV0pUwIiIiIiIiIiItQCdhRERERERERERaQKv9OJKIiIiIiIiIyO5YfNK21Wqjsy0iIiIiIiIi0rboJIyIiIiIiIiISAvQSRgRERERERERkRage8KIiIiIiIiISNvSRh9RfcBOwtgAeO0h055qb6DT9/Fs36fvv3D+ENqz1hq0l4zgr+8r4BcZ1YW8tHf0VtLeL7OI9qyO62nfVJdOe1F6PO07MlJot4X48vN1r6Z9e0172hsy+Ov/ddIbpm325lPotOX93bRHMoK0O8r49FV/4z97zddptMeU8tHGEeDLJj2hnna7jU9/y1K+/Hzr+c/vruGv7/byn+/DrYNp/8OURbSPj/+W9jfqe9Pe1V1Ke39XgHarvYUBGxoNh2mvjsbS6e3gy3eIh69/aQ4f7Rcd/yHt9zw6lfbuy/2013aNob0ul4+t8YVNtLsCfLf36ZCetF82ciHtg7z5tM+rGUh7rxg+tp8Rz1//pbpc2tn8TX3rUjrtkkl3055o59t+CBHaH6saQPsoH9+vnf/cX2jv9mQe7ZFsvl8LJfCfz1XPu6OJr3uOJvPtHgBWTuxA+7zYQbT/M+Mr2p+tzaK9r8Vx15amDNofXHqsaatv+pJOm+wM4Pnez5n2F9oNo9N/4e9O+5DYbbQXhvm6m+JopN1rRGlf+Qxf97MXFdAOBx8Xnf4w7Qlb+fSGxS85/s4JtPu28nXHnppMe97pfN0KD6mjPSORH/f0TNlh2rYs4cccX5zPx0UrQz7g427CFr7uYs1Gml1VfN2s6JtIe9YXNbT73vyBdsPFx72Nd/Dl2+s+vu4fO28t7Q9/OJb2bSNTaZ+Wtpz2k76fRPv2z3NoD2aZ/y7c7BOLLm2VPo4kIiIiIiIiItIC9HEkEREREREREWkzDFhfqdda6UoYEREREREREZEWoJMwIiIiIiIiIiItQCdhRERERERERERagO4JIyIiIiIiIiJti61t3hRGV8KIiIiIiIiIiLSAPboS5tJLL8XcuXORl5eHVatWYdCgQQCATp06wePxICYmBgBw3XXXYdq0aXv0jd22MA73bjPtXwc70OmPismjfd60u2n/03mX0m7FGXDTHlNm0P7D871oXz22He3jOn5PezDqon1ocj7tuZkVtK/M6kT7suJc2oMhPn9NR9TTnprop91lC5u2bVPopHDF8e89qF0R7YcP3Ub7NakbaX+qSxbtSY4A7V/UdaP9L2mLaD9u8SW0d5nN121PCV93qgYk016XxM9od3+ylPazA5fTHo7l83/5Ke/SnuWo3fm/77ypCos+bEDR9ghenJeJnn3duKV0FJ46+V043Q44PA4AwGHn9ULPcf/dJj6nrw8AIWPvz4+nuepozwvzbe/w1y6i3XDx5ddrHt8+4OK7nZAvlk/ON09EYviyMxx8+hV5fOy6NWcu7QXhBNpnpi2mvSTC35/VTXz5bQ2m097eVUU781Uwg/ZVgU60lzTxZZPj4fM2/e2LaXf05PsFOPmbX9PNR3sgi69baauDtHvyKmmHnb++p5qPnXMPP4L215JH0H71uHdoLw4n0r60tuvO//3F3cuRv6gQ9UV+nD77ZKT2TEH/HgX4eOqzsLsccHia1+OuZw1Fu2O7o9QZoa9tBxBvN983XJ26hk7/RDXfL24M8v2uxx6ifUrcJtqHLODHnL0/4/tNOCz2CcEmPnmA91i+W4VrezXttjB//5DE153t43Nof/KCB2lPdzTQPvaNq/j3RybtzLDXZtK+edpjtNtr+Zi+eTLfJ/So4OuusbWQ9uSMGNoR5XnTPYfR3uO6b/apR8Lmx/MA8OqtY2nHcJ5DUb5fWNfYnvaiT/m6G1vOj5kmT/iS9udolbZsj07CTJ48GX/9618xatSoXdorr7yy86SMiMih5LgTYzDjwnj8YfKuR7An3jECGT35L00iIgejzsd0xMBz+uKdPy7YpQ2+aRwSu/OThSIiIpZsbfcR1Xt0Emb06NG/9XyIiLQ5Qw73HuhZEBFpdbKH7P2VBSIiIge7fb4x7/Tp02EYBoYPH4477rgD6en664aIyAd/Ww4DQFbfFBx5aX/EJuuEjYjIt7cuBAwDib0z0euiI+BJsvg4hIiIyEFmn27Mu2jRIqxevRpff/010tLSMGPGDNOvnTVrFnJycnb+8/v5Z+RERNqqKU+OwdlzxuHMF46HN8mND/6+3PRrfzk2BvwWH8AWEWmjRj44EaOfOQOjnpoGd2JM8wmZ3dAxo4iIHMz26SRMbm7zDQxdLhcuv/xyLRkvBgAAIABJREFULF5sfsPBmTNnorCwcOc/n6+NfoBLRMRCQnbzDT4dLjuGnNkD21eVm37tL8fGWJ8eWiciB6eYzHgAgN3pQOcpA1G5esduv07HjCIiskdse/GvFdjro32/34/q6p/ulv7SSy9h8ODB+2WmRETaqlBDGI11Pz2JYv2CfGT0TDqAcyQicuCFG0II1f30BKkdH23QDXpFROSQtEf3hLnwwgsxb948FBcXY9y4cYiPj8cHH3yASZMmIRKJwDAMdOnSBc89pwdpicih49brKrHkk0ZUlEXwlxlliPXZcfyDjXj36i9gRAwYABLb+zD25sMP9KyKiLSYJbd9ifzPt6OhogHzL/0I7lgXht59Glb+bT6MiAEYBmLbJWLgDccd6FkVERFpcXt0Eubxxx/f7X9ftWrVXn/jCOwoicSZ9rJwPJ3eZ+MX8VxVcArtrtog7bZQhPaETW7aa7rxa51yPwjQ3pQXS3vWXTW0b23gf10aHJvHv7/hoD3HU0V7YQL/y/+EjG9of3H7cNq35GXQfvOaKaYtpXcFnTYa5evWmi+70X7tlPdoL4800X7HO6fT/uDE/9DeJaaM9mWNHWjPnc2HBfdXP9DuP7o37RE33zbSVodoj27h626HBebjCgDMeOZd2ivDfPovG7rs/N/H/r0Ljv37z/t3/mRMfuHkXaYL7uGtXpoMB1Y2djLtIYttM2rw9bc6ym+C+fSEx2i/9vqLaLc18LE1Es/HtoRt/P2v6Gcx9nbk66/F4oPXy79/VxdfP2JttbzbLWaA73oQsbiOdmrSV7QXk33rwol302nrDIuxwcdnfkxaPe0LAom0Dxy6mfZbc9+mffqYK2l311tspEfx/V59Bd/veYpc/PVL+b7Jm7+d9tyq7rSf+LT5R8YBIN7RSPumIH/i0ciEn96fkXekA/j5cUh1pAinvD3oF1PtALADS+xh+toRACUR87GtJsrHnXYu/t6lO/l2297B193ZtX1p7zrbYt0qMf/IKgAYGam024L8uMJe20C7o5L/fEYFX36Rrvy4ouBEvm1fds5btJ/19p9p31dfT7nXtK0K+ui0f5h7Ae1dX+H7TCvLz7yH9uM283Et800/7THL+bhq8/B9bo8bttIebeL7VEc6X7dRz+c/ef73tFdPzKX9unbzaf9X0Tja+52wnvaqID/mOS95Ke3PweKYQdrsI6p18wERERERERERkRagkzAiIiIiIiIiIi1AJ2FERERERERERFrAHt0TRkRERERERESk1dA9YURERERERERExIxOwoiIiIiIiIiItAB9HElERERERERE2pS2+ojqA3YSxgDgN8yfPe+yRej0ERi0xzuDtFfTCtiawrTH7eDPvXc28kXrb+ehPfG7StofXXkU7f8e9Szti+p70T4+YRXt/d1FtMc7Gmm30juxhPZtte32+rXH5fxA+8rKXNqfnfoM7Q+WHEt7MOqgfdWZ99JeF+Xr5kgvX7uHfnYx7d131NFuy8niPcy3zXAMzfCUW6w7Nn4Bn7OinvYbV4yn/aHDX6R9qb8b7QnOBtqtNBlOrKzraNpHJ26g0zdGXbRnOfjyOe2LP9HedSNfP4xYL+2OGj/tMRZjb6otgfamBL59lZ3O358/dF9O+/sBPnZnOfi+58v6LrS3c1XRnmrx/nV08u3PZzN//ePeuIpOO3/iPbSP9vJ1Y2EDf+9OjuU/W14qX/dPeXMm7V3OLqQ9dA8f2+K8/L11nFVMe3gj//ldVXzbtaWm0G7fwY8b7l80lva1pz5E+41+vm8MGem0ByLmx3wRg4/rEdhREE4y7SsCnen0vb07aF9S35P269PW037fByfS3vP7LbTb3ObLBgCMMD8mNvwB/voOPi5Ga2ppt6en0r7+Uj7uP3vUI7T3d/H5P3XS3bRvCcfS3sXJX39hwPyY8giLdef2k1+i3Wvjvy8cFVNB+5BX+bh2z9XP815+Fu3xi/m6aUSitNsT+bhmT6QZRogvH6t1L7wtn/b0FywOOg/juTHCx+VnOs2n/driI2nv6orjM4B9O6aU1ksfRxIRERERERERaQE6CSMiIiIiIiIi0gJ0TxgRERERERERaVva6D1hdCWMiIiIiIiIiEgL0EkYEREREREREZEWoI8jiYiIiIiIiEib0lYfUa0rYUREREREREREWsABuxLGiSi6uypM+4Lq/nT6ke+eQns4IUJ7n/Ji2qNxsbR7i/18enc87Z6KIO21fVNo//2ApbR/29CR9ly3+bIHgC8butJ+TOx62v+QuJH2gS9eRrurSx3t7ip+/jAcZ5i2Vz88kk5r5V7f8bQv3sKX3Sk9v6P9noohtKe5+LIJGQ7af9d1E+3rBvajPb6Qr7uhOP7e+EqjtNtCvNuTEmk3ikppd23MpL3jkVW0vx+O4a9v42OPFQeiSHfXm3afnS//iMWfBMa/eQXtTj+f3lHOxw7D46YdUf7+wjDfdgEgpqCW9pLTUmm/c9jrtBeH+PrVaLgsOt+t3rXgVNpfmPAw7emOBtoXBtrRnuowX7esdHTy9zYQDdHey1VO+7xABu39vQW0X3/CW7Tf9v5ptCfl8HXf+x8+fzXZfOyL38HnH06+7hixXtpttfy9jd/IX7//q5fSfuSIdbQ7bHzb7R+3nUzLx4WmqBNL/d1M+8qqXDp9cgY/ZquPeGjv+spFtPsK+Xtv1PPvb0tOoh0lfNsxLMZN1PLjBnucj/Ztv+fjysfH3En7cW9cRbuVNVMeoN0B/vOXRfm6v9LfybRNiuP7nONjimi/seQo2kd4P6Xdaly78t2zaZ95yzza35lxNO32LebbbTN+zGlY7fOthMI022P572txa/m2M3PzFNqHpuTT/m4gnfYZqZ/T/k3QYtuVg5auhBERERERERERaQG6J4yIiIiIiIiItC26J4yIiIiIiIiIiJjRSRgRERERERERkRagjyOJiIiIiIiISJti2Nrm55F0JYyIiIiIiIiISAvQSRgRERERERERkRZwwD6OFIYd20JJpr0wYN72hLOWP7cejUGa7ZF9e649f2o90NAujvam8yppH5vwHe3LAl1pv+Od02l/dcp9tI+fcyXtq868l/anJj9K+8sVI2jPT0umfV1+tmlzFHvotFZqmry092tfRPu8jw6j/YKTPqDdAb5uflOfS/uSRf1oDx8ZoT35cb7teO38skB3eYB2245y3p18245abNtxeQbt8Xa+fBsiLtr9xr6tX3abgUxXrWkvaEql09dF+Pq5ZsoDtA9/8HLaEebrB1x8+Rn1fovp+W5p+0lZtJ93xgLaS8MJtGe5amh32cK0Ryxu0//ZpLtpf6xyJO2JTr79dHTz7eet6iG0M33mXEL74GGbaL8t923aQwZ/7/2Gm/YickwBAB9M5Mv+vB/Ood1zC3/9pMV87Desth2LsRPxVkcWXEIe//63/Ol52t+vHkB7jL2J9i0N6aYtbPC/CUYMOwobzPf7Ca5GOn0wysftNFc97ZunPUb70H/8iXYYfL9jNDTQHg1aHLPGWqwbWWk0bzvd/L0BgPkX3Un7mNev4t9/Hy0NxtB+9drJtN/R5w3aF5V0M21dPz2CTnvGmM9pf39Tb9qvSP+E9pN8FuMqrcCsBSfTHr2Q79P6/IOvW9Fqvs+0WXxUxGji44YVI8LHNXuAjw07avm4fmKW+fEYACyp7UG7NzFE+/qg+e8rzfjve9J26Z4wIiIiIiIiItJ22KBHVIuIiIiIiIiIiDmdhBERERERERERaQH6OJKIiIiIiIiItCmGPo4kIiIiIiIiIiJmdBJGRERERERERKQF6CSMiIiIiIiIiEgL2KN7wlx66aWYO3cu8vLysGrVKgwaNAgAsHHjRsyYMQPl5eVITEzEM888g759++7xNw/BYdoaIy467T2nP0v7FV9O49/c4rn1CIdpNsL8ufSRuDTaXVcV0161Mof2gQPqafcbBbRbibfz59pbKYvw5beusT3tY5O+o/3wTL78jvzuStMWTm+i0zrL3LQPTNxO++YAf+9fnXIf7Y0G3yyLI4m0u+x83Zxxwie0d/OU0P7gx3zbSvzge9ptcXG0RwMBPn1CPO32GC/trgaD9hDPSHI17PzfH/3rG2z+dAdqiwKY/vJxyOiVhK7eUpRua8Cz165HfVUIMfEOTL+9J9p19wEAFvCXhw0GYu1B0+4jDQBqIjG0Bw2+bYZ9FgsgGqXZFuE92K8j7VtP49vfjSfMod1rMXblOitpXxvkY5PDxn++LE8tn55WIMfN56+/l4/tPwTb0V4YSDJtc0+/l077TZDvlx7acjTtL1UfRnswyse+XjE7aO/t5X129XDat6/LpN12Gs3oea/Fu2tx3ICGRv796/jYaDQ00B67g79+XlM67W47Hzs8/9MX/utbbPy0CLVFAZz78jHI7JWE9p5qlOX58cr138FfFYI3zolpt/VDVrc4OC22qzhHEBdnfmzaF9bzY89EB192mxszaN8Q8tNe14lmZCUm8C9w82NeWw5fN6v68OOCkhP5cc+80XfTnuvk++0PJvLpyyz2S2e9/Wfa1zR2oD3QyPcbZRG+/EdnbjJtr3zP1400Vx3t8T6+3ZVYLBsrL0x4mHarZWuv4+PujvG5tGc/z4/XDYMfU0Qb+fKxulpg4x2Dae/5MD+mHdNhI+0bAlm0Vzfx9++z2l60d/Dyfb7sgYP5njCTJ0/GkiVL0LHjzw+eL7zwQlxwwQXYsGEDrrnmGpx77rm/xTyKiLRKPY5rjzOeORoJ2bE/++8v3LgBo6Zm4R8LDsPY8zvguevWH6A5FBFpeT2Pa4+znhm9y9j4+k3rcPjkHFzz3iiM+UMnvHI9/wVORETkYLRHJ2FGjx6NnJyf/wWstLQUK1aswNlnnw0AmDRpEgoKCrBpk/nZZBGRg0mHoemIz/z5Lxm1FU3I/64ew8c3/+Vy8Lg0VBUHUZrH/0otInKw6DA0DQm/GBvrK4IoXFuLIadmAwD6j81EdXEjyvP4VSoiIiIHm72+J0xBQQGys7PhdDZfxmaz2ZCbm4v8/Pz9NnMiIm1NVVEQCeluOJzN10fabDYkZ3tRWcQvuRUROZhVFweRkO6Bw9l86PnfsbG6SCeoRURkL9n24l8r0GI35p01axZycnJ2/mvw88//iogcCn45Ngb9FveNEBE5yP1yXAzomFFERA4ie30SpkOHDigqKkL4xxvYGoaB/Px85Obu/gZOM2fORGFh4c5/MT49mElEDj7J2R7UljUhEm6+GZ1hGKgqakRK9u5vGPzLsdHjs7p1q4hI25OU5UFtWRCRcPMJlf+OjUnZu97Y8pfjYqyOGUVE5CCy13u1jIwMDBkyBLNnzwYAvP7668jJyUG3bt3228yJiLQ1CaludOgTh+Vzm+/Iv2pBOZIyPcjouG9PQBARacviUj1o3ycBX79TBABY80EJkrK8SOsYazGliIjIwWWPHlF94YUXYt68eSguLsa4ceMQHx+PTZs24fHHH8e5556L2267DQkJCXj66ad/6/kVEWk1Prh5JbYsLoa/ohGvXbwYbp8Tt384FGf+ozueu2493n+8AN44B6bf1vNAz6qISIt5/+avsXlxMfwVQcy5+HO4fU7c8P6RmHRjH7xyw3f4+N9b4Y1zYuot/NHSIiIijNFK7vHya+3RSZjHH398t/+9Z8+eWLp06V59YzeiONxTYdrXpfNHurpt/L4JnbLNXxsAwh3SaXdsLKS94XB+xU/9X2por16ZQ/vrU++l3W/wz0ezZbsnsh1u2t+aOov2Bf59+6XzcE8x7aNfvpr2Kcebr5fZ7mo67cPzTqR9W0Mq7UMS+M2pVzZ2pD0Q9dD+fSCb9qszFtL+Zt0A2ru7S2hvPKeS9rhtu/9I4n85NljcvNsw9q1baIrjo/X6EH9/q0M/XdEy/NpRGH7tz/sg7yKgD3DC2yn/81/Lf/xnLdYewdkJBaZ9YUM8nT5i8AscX63nY5dvMB87yo/vTHt495+62ilhyg7aF/Z4gfZ0B99tDXz1cj4DFq45YS7tVsu3LMLfn0FufhPS/l7z97759RNoT3fW0t7ZZ/7+3pB3Gp12a1UK7b9rv4X2eAe/OXWaK0R7STiR9g3+LNqPT+aPQ35q/BO0/2HuBbQXTuFje85b22k3Qk28N/B1J1Jbz6d3/rYf6bHbfhqbT/r74F16rL0Snbo6cc3Lg35RgrCBj+sOGOjoNF8/TolfTadfE2xH+4g4/mTPZypH0n7ccato/6x2CO1WmvrzJ0jdOuwl2q+bdwbtWRafgp1V2YX2yrCP9gGxfL8/57QHaI9Y3EkzaQBfPiGD/4AVIfP5f2HCw3TaUosx/5Lun9L+ZUNX2rtbHA9b7ZOslu3Uty6l/ZpL+bp1X8002lPmb6D9txbO5PuNgT7+e+z88n60X9H+A9qXBfgxl8vi91k5eOlDtiIiIiIiIiIiLWCProQREREREREREWk12ujHkXQljIiIiIiIiIhIC9BJGBERERERERGRFqCTMCIiIiIiIiIiLUD3hBERERERERGRNqWtPqJaV8KIiIiIiIiIiLSAA3YljM1mQ7zdbdonxn9Lp/8m2I72e7vNoX3yxCtoT1zfi/beF6yl/R/t3qN97LqraW80HLTfUXIU7aenrODTn/YC7QNfvIz2hyc+Sfu6AH9/Mtx1tI9+mS+fpyY/SvusgnGm7Y1lI+m09018mva5lYNp7+Iupf32TSfSfnJ7vm4dmbCR9iQ7P7fazVNM+zeNubQvH/Iyf/3zLqK9933ptNvKK2k3IlHa4eDbTiCTnzLv6aqgvaoplvZ0e5B2gM9f1DBQGTF/jYiRSKdPcfppXx/Ior13Kl9/R137Oe3pTr5t93Hz9a8kEkN7XthF+7dT7qN9RyRCu9dm0P5lY3vaZ5fy8SUrewHtPou/6BQbfPsujSTQnuwMmLY1X3em0/o619C+zZ9Ce2/fDtqrwj7an/7oaNpnjptHuwP8vfUb5sckgPW6lRfmr3926Era273Lpzf8DbTbXPyQLpDtoT1kcdyR5qqnfXTcD7TPqxlk2sIW39tusyHZbj42JNr5sltjMSxvCvJxsShoMe66+Lj71B8fpN1q3btg7h9p7+8uov3RU5+i/SuLny/O0Uh7jpvvN1MdfN3x2vi4vDHEjxu6W+xXFtb1o72kwXzcfLnqcDrtt5V8n9AtoZz2o5P4dpPlqKW9IsLHTatjuhWTZ9E+7LWZtM+/9R7ap6bw4/n2cwtpN6r5fqfnP76nfft5fWlPcpjvEwEgy8uPaRoNfkxiNa52c/F1Vw5e+jiSiIiIiIiIiLQt+jiSiIiIiIiIiIiY0UkYEREREREREZEWoJMwIiIiIiIiIiItQPeEEREREREREZE2pa0+ovqQPwljRKNoKilBuLoKRii0879H+UMckPdRAQDA7rDBHe9BSq9UuHz87vYiIm1FpCmCyh/KEaxpRLTppydXfO0ro9MlOJqf4OLx2pGa7UKHHjGw29voHlJE5BcaaxpRtaESTfVNMKLNT2Uqd/DHL33sa356kt0BxPrs6N7bjeQ0/tQUERE5eB2yJ2GMaBT1y76AffMGxNmi6NghC7ExHthszb8s2PnT+uBe3/xJrqZQCOWVlVj22Gok9ElBp0k9kJBrMbGISCvVWNmAzXPWofbbcqQnJSA7KxUe90+PYAzZ0+j01bYoDMNAoCGIj/NLYTgr0Xe0B2PPSoPTpZMxItI2lX9fjvy3N6N+Yw06d8xCalI8nI7mEykOm5dOm2fvBgCIRqOorvXj6Xt2oGN3G06c6sLAw/i0IiJy8DlgJ2FCBrAqaH5LmibEWUzP/4IQiJo/tz0SMdBt86NAUzwu/NupGDigM5zOn79e1OLapkxn48/+//aiKrw5/2vMu+8T3HyHF1a/a/x70uO0n/HmJbS7a/ntfAZMK+AzsI+eLB5N+8qtubT/c/hc2pefcQ/tT9f0o71nQolpW4sudNrGKL+iqVtsKe0OW5T2finFtD/7/hjavzvrAdpvLjuc9lh7E+07gkm0HxO7iXZnHd82C07NoL3DWxHabfUB2uGLp9kxrJr2sa9cTfuVp/B117uP5xlChgNfBc2XUYajjk5fYEulvWes+fpXW9GEj2ftwIjufTHlzino1Clz54np/7JavxPtP42N4XAE33xXgMeeXYAFs7bi8mtjkGrxx1+vrYH2r4IptL9Wz08S2cHnP8nB16+7NoyjPcYVor0iM5Z2r41Pf4SXX6bJ1h0AKA0lmLaLjv+QTvtZeQ/aByRupz3ezt/bKvhov/3kl2i32ja2hfi64bKFaX+yphftZyaspX32VXy/NiX5Sto7vVFBuz2Nj91Fow3aPXa+7qU5a2kf5ub7luebzN/fqMUzRuujTtxf1c20j4vjyz7LWUP7FovtBhu2YPMDm3DulHEYc81ApKb+fDuyOmZMdv58XKmq9uPjz9bhiX+9i7NnBjHjKH4lzaOnPkV7ZZSfyNkWSqe9PsKnP8r3A+2D3PzXidf9ybQ7wNfNLAd//7aH+esHo3z+iv3mxw3fft+RTmtv4MfjvsF8u4hP4ePix/7etFu9dyN9/Jjt2yb++9ZzEx6hvYeLj9v3XMZ/3zl/0Hm0py5tT3tDOt/2ep6wkfZXy4bRnub2014c5uNuT28R7WVh831yMz7uC/SI6rbkw7frES304a6b/x+GDum2ywmYvdE+Oxl/+X/H4ozTTsRfb2xANMp3KCIirc2Ch3ZgVO8BuOqKSejcOWuXEzC/ltPpwLBBnTDrn9NRW5qDt1/jB5siIq1NMBDG5/dswNUXT8Xkyb/b5QTM3khO8mHShMPwj6vPwbN3N6K8gv/xQUREDi6H5EmYFYuB359+FBIT+dnbvXHWxBFoavJh3Tr+FzURkdakviqEHWsbMePs42C3799dQ0J8DM6adBSWLT4kdzki0oblrahEl5wsHHXUgP3+2iOGd0O/nl2w+HN+tYSIiBxcDrkj4oqyMLZvBQ4f3vM3eX2Hw47Rh/fH0i/4Zb0iIq3JphU16N0jd7/8lXd3RgzritIiBwoKdYJaRNqO/BU1GHPEwN/s9cccORCff9FGr6cXEZG9csidhKksiyAlOQ7x8TG/2ffolJuJslLd9V5E2o6a8iZ0yW33m71+bIwbGekJKC/j92QREWlNGsvDyMnh91TZF7k5qSgt1UkYEZFfzbaX/1qBQ+4kTFPQgNdjftPe/cHrcaEp2EreYRGRPRAORuF185tS7yuv142GRt0vS0TajnAwCs9veNyocVFE5NBzSD6iek/vNVlUVIl7738LixZ/h+oqP9IzEnH8cYNx2SXjkUke8bGP97IUETkgrG7EW1VVj4UfrsAnn67B+vWFKC6phtvlRM+e7TF50pGYMvlIemrf1lr+/CAi8ivszU3K3377C/z16icAALNuPwtnTzvS5LX3adZERKQNOiRPwuyJvLxSTJ52OyoqanH8cYPQpUs2Vq/eimeeXYhFi7/Dp69dgdRk/lg3EZGDyfz5X+HvNz6PjIxEjBzRC+2yU1BeUYv3F3yNa69/Fp9+9h1eeOTcfX6qkohIW1ZUVIGb//k8Yn1eBPyNB3p2REQOSgYAo40ech6wkzB2GEi0B017WTSWTl8d4b3W4d3tf/cbBqKwIWLxjv39ptmoqKjF3/92JmZMP27nf7/1tpfxn6c/wD/ufgcP3nqG6fRlkVgsa8ww7U/v2P1fRP7LU8E/KWZYXBn7wPdjaHfY+X0ZbB0CtH//Nr+x8dAJ62m/6e2pvNMKvDDlAdqfKx9l8QrmPqrpQ3u80+KAaver3h77/Iy7aX/bz+/b8dqGQbR3yyin/YoOH9B+W/E42pdazP/CQA7tt4fMtysAyHm7kHZ/30zab+r7Cu1Dhuyg/esgX/5fN6XRDlTRarNFkeTg2x9jNa3Z2Bkx7IANcNnMH5XarUs6nnniYhw3pt/PnqBUetV4nHT6HXh/wUq8On8YTjph6G6nbzSceLD0CLycb74Mi/38xsBldfypdg3FFifHLW5Jk5hbQ7vLyR8lOzb7e9qHeeppf7O+I+2NRgXtXhu/KXwgYv6Rszfz+NNfhmRsp72Tl48tgaiH9gEx+bTnNfH7chQ2pdK+qKI77X0SimjPcNfS/mEgl/YjvHm0v//HO2kfk3wV7fYQP6756zFzabd6f6IGPy55oqYH7TEO8ycA2cA/jlMf8uCR1aNNe6Af/yjl1MSVtAei5tNHDRuciMBtM7+pePR/TjwbhoEbrnsSyUlxGDduCP795AI4EYXbZGx12aIwADQa5oNTQYiv2x9V9qY93sWPW05MXkN7LPnZAcBh48u/q6tsn17/maojaJ+zchjtI3tvpr16hfnY4vPz7SrQ2/x3GQDYUs7fO0cO3ym1c1XT7nLzZZfuqKP9i4DFuOjlx1ybQ3yfGTL4z//amEdoTzmWPzksL8yPGebV8JtqLy3tTLs9no9NX9Xz6ackL6d9Y5Afs8rB65C7J8yeyMsrxeIla5GTk4Zzzj7mZ+2ySycgNtaDl95cDn+AD7wiIgeTI0f2xthjB+zyCOuM9ERMP7P5F6Qvl204ELMmItIqPPPsR/hi6Q+481/nITbmt73PloiItE06CbMbXy77AQAw6si+u/yyERcXg6FDuiHQ0ITlq7YeiNkTEWl1nM7m+2Q5HNqtiMihadOmHfjXXa/jvBnH4vDh/MogERE5dOloeTe2bCkGAHTuvPtLxDp1av7vG7eWttg8iYi0VuFwBK+9+SUA4OjR/Q7w3IiItLxwOIKZVz2Fdu1ScPVVEw/07IiIHBra6COqdWPe3airbwAAxMfv/t4JcfExAICa2oYWmycRkdbq1jvfxA8bduDYo/vhqNF9D/TsiIi0uAceegdr1+Xj1ZevhderjyGJiIg5XQkjIiJ77clnPsbjTy1Et65ZeOCe8w707IiItLhV32zBI48lcyWFAAAgAElEQVS+h/P/MBZDhnQ90LMjIiKtnK6E2Y34uOYrXerqdv+Ukfq65itgEhNiWmyeRERam/889wn+fvMc9OiejTnPX47kJB/C/EECIiIHlXA4giuvfgqdO2Vi5uWnHejZERE5pLTVw06dhNmNLl2yAABbt5bstm/b1vzfu3c2fwS1iMjB7N9Pf4Qbb3kVvXq0w5znL0daGn9MpIjIwcgfCO48XuzV90+7/ZpLr3sJl173Ei4672jc8fdJLTl7IiLSCu2XkzCdOnWCx+NBTEzzlSHXXXcdpk2bRqcxYEPAMP/2/V27vwrlvxbVx9PezlW12//eZIRgwIYQ+d7DDm++p8GSz9ciFMHPnpBUX9+AlV9vQkyMG70HdUGdsevdfRoNG8JwoC7qNf0ehyXn0fnPHl9L+/VZC2if+M35tFeX8OWX/jlfNaIuft7x7ty3aX8taQDtLluE9spIHO0JTvP79fQcvo1OOynlK9qtzKkYTntFcPf3Gvqve8qPpP3NHwbSnvY2v0Jreyp/7y/OuoD2pnT+3vjD/LPwD+fOo73iwndofyj5VNqDXRppT3fybSsvvG8nE1z4afnMGL0JLrcNHm/zODH1ojTL6W0AHIia9uooX3+sRI3dfwrV+PFuZVGLO5Y1Rl147PH3cOfdr6NP7w547pkrEZcSj8YfZ7k+4jGd1h/xYHttIqorzZeDw87HluiaRNp7zSmnvbEdX/8DM8O0X9RlEe2FTSm0f9aQSnsXN7/hO1s3AKARLtqDUfOxvbraR6eNpvN1I8nhp31BZX/aN9ceRnt+MV+2cQn8Pm3tEvi2n9/AXz/W0cS7nXerseV3Xr7uzTn9Ado/9vemnR33AECmq4b2HaEk2vt4t9O+KdD8UIPZp74Fu8sOp7d5foac24dOBwD2oA3xX5iPfY19+Hofb9u3v5U6bFE4bLvf9mI8dkyd8rvdtrVr87B2XT4OH9YVXbtkYtCgrmj8xTYYjDpQG/VgQaCz6ffv5C6j83daOl/3rd57u8W4ErK4e0F+uJ72dg6asTHMj+nYuAUAyRl1tLePqaZ9TX/zdd+/g+8zRvXcSHs4yn/4LcHdPwTkv46I5a/fzcWPyYa8egXtVl6Y8DDtK4PtaffaQrQ/VT6a9kFx+bRnOfl7GzL48u+bUkR7P98O2msi/Jj7m8aOtL+0ZRjtwHcWXdqq/XYlzCuvvIJBgwbtr5c7oHJzMzFqVD8sWfIdZs/+CNOnH7+zPfDAWwgEgph+xij4Ys1/2RARAYDrHmiPrn1+OiH7/J38F8HW7sGH3sG997+Ffv064rmnZyIpiR88i4j80tjbRyGt508nvb647+sDODf7Jsbrxu237f5+WPc/8BbWrsvH1IkjcNa0US08ZyIi0lrp40gmbrppOqZNuwW33PICli5dh65d22H16i348svv0blzFq67avyBnkURkRb1+huf497734LDYcdhw3rgmec+2uVr0rOzMGEi/8uWiIiIiMg+ayWPnP619ttJmOnTp8MwDAwfPhx33HEH0tPT99dLHxC5uRl4440bcf/9b2Lx4jVYtGg10tOTMGPG8fjLX05DSnIbfcdFpEXdfdUOwAB6DPTivKvb9n2kCgqaP+oTiUTx9DMf7vZrhh3WSydhRIT66MalgGEgo28aRlxycFxFLSIisqf2y0mYRYsWITc3F6FQCP/3f/+HGTNm4L333vvZ18yaNQuzZs3a+f8Dfv7509YgOzsVd9xhdm8Vfs8aEZG7Xu6IjHYuhEMGnp1Vhnuu3gHg5/dVaEtj4+WXTcBll/Knf7B7woiITPj38YjP8iESjmL5I9/i4xuX7vI1vxwXI6FgS87ifnPZpafhsktPg8/eNudfRER+G/xOW3soNzcXAOByuXD55Zdj8eLFu3zNzJkzUVhYuPNfrG+/fGsRkVYro13zzSKdLhtOPy8Za1fsevNEjY0iciiJz2q+AbTDaceAM3uh6Jtdb0b9y3HR4dLJXRER2Q3bXvxrBfb5aN/v96O6+qc7U7/00ksYPHjwvr6siEib1hiIor72p6cWfPpOLbr20S8SInLoCjWEEaz76SlSm97fhrSeyQdwjkRERFrePn8cqaSkBJMmTUIkEoFhGOjSpQuee+65/TFvIiJtVlV5GLf8uRDRCAADyMp14aq72+GGM/kjtEVEDlYNFQ1Y8NfFiEYNwDCQ0D4ex/zjCLx1/gcHetZERERazD6fhOnSpQtWrVr1q6eLwoa6qNe0f9zAH3saa2+ifUvT7m+AWWTUItBUA5ctTKcPRl20Rwzzi4iCoSiSXAF0dxebfk1hU4ppA4CLMj6hfewrV9N+1+nP097Yi/98/yw4g/b4bQbt1xeeQnv/+O20N1os//xQKu0eu/n72xDmr/1ONb+Sa1s9/97rP+lKu9NPM7YGutPe9bNK2htz3LRX9eAXwLnq+XV6oQ4R2ksa4mlf3JhGeyd3Ge2nT1hCe4abPwKajTsAsCWYSXsXTwntnVzNVwZ26grMe/+X23kAVhcg2mEgy7H395xa19iedpdt9++f3WFDsCmEsOGg01vd26C8JsG0+etssC1Nhm2L+TZUxVd/pG7k98yxNfD5Cybzv7oPSS+k/clt/DGzGbF1tFuNbWMT1tA+zMO3v8IwX3eSXebd6eav3RDh8/59A1/3cmKqaP94TW/awXc7GNSd71dS3HzZWP18cY59O4G62eS45L8yHVto/6qBbxw14VjeaQVKQubbLgCMjvvB4hW4fr5CoCdwxNsDflGqMc9kXPovww40ksOmC1J2va/M/3q7viftg2PzTNtSdxCRcAR2sgLuy7oRDofhcUWR4qg3/ZoOTr5fs+o9XD7aqyJ829gS5r8uvFPPt12rdTPNxcfNS9I+pf33yctoj1h8/mCQL9+03YFxdFqPna+7o5I20W6ln5vP+4ogv8L26yn30l4e4fM/9o2raH/9tPtpX1Dfj/ZjE9fRvqWJP+ilr4fvsz/K70F75xR+TD0gjr/+sNittN+86WTaq0r5MbMcWBs3bsSMGTNQXl6OxMREPPPMM+jbt+8uX7dmzRpccsklKClp/h3h1ltvxcSJE+lrH3KPqI5NcKK62o9QKAyX67f58cvKaxGb0Hpvriki8kuxCU6Urue/JO+LaDSK6uo6ODNifrPvISKyv8Uk2lBewU9y7IuKyjrEJuheYCIie8P4De/xcuGFF+KCCy7Aueeei9deew3nnnsuvvrqq599TSAQwIQJE/Dcc89h1KhRiEQiqKzkJ/eA/XRj3rYkuX0MHD4Dq9ds+01e3zAMLF6+Gv2G8r+oiYi0Jp0GJWLFNxvR2MivMtxbGzZsQ33EgDexbT+mW0QOLV0GOfH5cv7X+n2x5Mvv0XXwIXc4LiLSqpWWlmLFihU4++yzAQCTJk1CQUEBNm36+dVtL774IkaMGIFRo5qvlHY4HEhP51dwAYfgSRi73YZOI32Y9/5yRKP7/2qV1WvyUVRajv7D+EceRERak9QOMYhNt+Hjj7/Z769tGAYWfPAFIrldYLMfcrsdEWnD+h8RjxXfbkBBYfl+f+2S0hp88dVaDDiSfwRfRERaVkFBAbKzs+F0Nn9yxmazITc3F/n5P//44rp16+DxeHDKKadg0KBBmD59OsrK+K0VgEPwJAwADBmfhW/zN+CBh+fut7/6GoaBVd9uxf/d9hxO/IMPHu8huWhFpI2y2Ww48rwsPPLsXHz00ar9dpK6qSmEp595Cwu/2YyYoYftl9cUEWkpKZluHHG6F1f831PYtMX8Xn+/Vn5hBa644T8YPCaKdp34vdxERMTEXjyiur6+Hjk5OTv/zZo1a6+/fTgcxsKFC/H4449j1apVaN++Pf70pz9ZTnfI3RMGAOJS3Bj3t55YeOdqfDRjFUYM7Y2eXXMQE+OB7cfPlYWifNH4HM03fwyFI6ioqMWS5WtQUlmBE87zYeS4RADmN1gTEWmNOg1MxOFX+HDvQ6/jydnzcdSIAcjKTIHb7YTtx8HRYwvR16jwx8MwDAQbg9i4dTuWrliHgNcH76kT4UxIAPh9jUVEWp1xZ6XA7qjCn65+CJ07ZGPk0D5ISoyD09n8Bze7zeKu0T8KhyOorW3AslXrsHHrdow6yYlJf0hE3W95UwMREfmZuLg4FBbymy536NABRUVFCIfDcDqdMAwD+fn5yM3N/dnX5ebmYsyYMWjfvvnhBGeffTbGjeM39AYO0ZMwABCX6sGEO/qisiCALV8WYdvmfIQbo7D9eAf12jD/OFFHT/NlqQ4XEBMPjDrHi15DsuD26AoYEWm72g9IwWmPDEPRump8s2oDguvCMEI//YKRbvEUjmXbmp/gEnW6EIlPhPfkSfClpe08iSMi0tbYbDaMPSMFvxufiHVf+bFmzWIEC2yI/vhgGbOnzu2c/scnK9nsQGycgcEnOjFjeBLiEn58Gt2encMREZEWkpGRgSFDhmD27Nk499xz8frrryMnJwfdunX72ddNnToVTz31FGpra5GQkID33nsPAwcOtHz9Q/YkDNC8U03N9SE1d9dH920O8BvqTEj9+reaLRGRA8rutKP9gBS0H7DrM2GH+zbTaVe/Mf63mi0RkQMqxufA0KMTMPTonz/OO97eQKdz6CyLiEib8/jjj+Pcc8/FbbfdhoSEBDz99NMAgPPPPx/jx4/H+PHjkZubi+uvvx5HHHEE7HY72rdvjyeeeMLytQ/YSRg7DMTbG0273+Cfjx3lW0/769X83gODY/No7xOznfb+7lLat4QTac9x80dX/f7Vy2i34rKFac9y1dB+0zkv0H7DitNp//7Z3rSvSulDu/Nw/qjcUzt9R3vIcJi2grJkOu224lTaExMCtGd/we8z5C3kVxKEUmJpRx5fN6tH96d93ITltH9TkUP7idlrad/SkEb7l/XdaM9w8+UTsbiVVUHjricO/lesnb8/dRF+FZzPxqdfE8ym3erzOA7YkO0wH//KIvxgPtYepN1r5x8n+roul/buSfzmlOF0/vrpL/p5/4pmRGP4k+eiCXz7qeppPjYAwLqqLNr97/C+vS6T9jwvX/9f6n0k7U+N5zv2WIuLMbt5zNe/BJ/5PhkAwgZ/8RMTvqX9xcqRtMPB1+2LDvuM9kQHH5tX1fN1O87Bt51tjXxsOyFxDe128PssLWvsRHthEx/bRsZtpH1RXS/aq0P88fEdnPy4oSTCby77/9m78/io6nv/458zSzLZQza2JIRdUQRB3BV3rVpFUFGrSG9bly5Wqa16297W1rb2VrEutVLtD69aFwRx17qDVkQUBUVlNSQBQiCQPZlMZs7vDypWZd4HiE5m8PV8PHg8lBcz+ebMOd9zcjJzjjru8HmcpEgLRezQk5fG7WsiuXGbmdnIULXslRH9i7cP2/rJ7nVM6XWS5vbqo2U/qbfe7/bxeG2qu/R+9aLHp8nu5fEzbpL9jfaBso/LqJQ9x6ffSbk6ovfbh4f0fifixj/mzEjT+zSfo7friqC+QGehX49txKzLZJ8z4WbZ57YMkH1MqEr2m069R/YmN132i/L1fmFhWB+Th2N6n18d0cfs4bD+Ube6IV/2WJHe7x2doS8/8YNN+ufBtI36+9MzB8y+2ltUDx8+3BYsWPCFv7/rrrs+8/8XXHCBXXDBBbv03Hx2BgAAAAAAIAE4CQMAAAAAAJAAX+trwgAAAAAAgBSUovd94J0wAAAAAAAACcBJGAAAAAAAgATgJAwAAAAAAEACcE0YAAAAAACQOhxL2WvC9NhJmPZY0OY2jo3bc/wd8vF3PXOc7Jef+uRujesTrTF93/u1XbmyB52o7GXBetnnn/Mn2TfF9EtX25Uj+9Jwmezn5ayR/ec1GbKHe+ktImu9K3vT0nzZH/rocNmzq+N//bRs+VDLqYrJnt6gl31LX90j2b1kX3+4XnZluXvJ7uXHRa/I/vuuE2UvCjTLHgn5ZfeZfu3z/W2yx4L6DXyVHYWyh2NB2f2Ofv07XP347trYnm0jH74sbv/H6X+Rj+8TbJT9qS2jZB+RvV72P2w4SfYHjpoh+6WLfyR7v8eqZN8woVz20Ba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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# initial Free water map\n", "plt.set_cmap(\"viridis_r\")\n", "plot_3d_z_indices(1 - f_init.squeeze(), range(0,12, 2), transpose=True, num_rows=2, num_cols=3)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 2 }