{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Intravoxel incoherent motion (IVIM) imaging" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Intra-voxel incoherent motion (IVIM) is a 2-compartment model that separates diffusion signal contributions originating from blood flow and Brownian diffusion *(Le Bihan et al. 1988)*. The model consists of 2 Ball compartments (isotropic Gaussian), each fitting the blood flow and diffusion volume fractions and diffusivities, respectively. Changes in e.g. blood volume fraction has been linked to many pathologies such as the vasculature in tumor tissue *(Le Bihan 2018)*.\n", "\n", "\\begin{align}\n", " E_{\\textrm{IVIM}}= \\underbrace{f_{\\textrm{blood}}\\overbrace{E_{\\textrm{iso}}(\\lambda_{\\textrm{Blood}})}^{\\textrm{Ball}}}_{\\textrm{Blood}} + \\underbrace{f_{\\textrm{Diffusion}}\\overbrace{E_{\\textrm{iso}}(\\cdot|\\lambda_{\\textrm{Diffusion}})}^{\\textrm{Ball}}}_{\\textrm{Diffusion}}\n", "\\end{align}\n", "\n", "Because the apparent diffusivity of blood flow is much higher than that of Brownian motion, the optimization bounds for the diffusivities of the two Balls are disjoint; the diffusivies of the diffusion compartment range\n", "between [0.5 - 6]e-3 $mm^2/s$ (results in more precise fit according to *(Gurney-Champion et al. 2016)*), and those of the blood compartment range between [6 - 20]e-3 $mm^2/s$ (following *(Park et al. 2017)*). \n", "\n", "The separability of blood and diffusion signal hinges on the observation that the blood-flow signal is negligible at b-values above 200-400 s/mm^2, but it does have a constribution below that bvalue (and to the b0).\n", " \n", "Many different optimization strategies have been proposed to fit the IVIM model *(Wong et al. 2018, Gurney-Champion et al. 2018)*, of which in this example we will use Dmipy to implement and fit two:\n", "- Following *(Wong et al. 2018)*, a two-step optimization based on the approach that first fits the 'diffusion' diffusivity by fitting a single Ball compartment to the signal where all b-values below b=400$s/mm^2$ have been truncated. Fixing this initial diffusivity, the 2-compartment model is then fitted to the whole signal.\n", "- Following *(Gurney-Champion et al. 2018)*, they found simply fixing $\\lambda_{blood}=7e-9 mm^2/s$ results in the second-best IVIM fitting performance (after fancy Bayesian fitting).\n", "\n", "We compare the second IVIM algorithm with the one available in Dipy, and evaluate/compare the fitted parameter maps and fitting errors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementing Fixed Dstar IVIM using Dmipy\n", "\n", "The fixed D-star IVIM implementation is very simple. We set the blood diffusivity to 7e-9 $m^2/s$ and fit the model as usual.\n", "\n", "We'll use the same example dataset and acquisition scheme that Dipy uses as well:\n", "\n", "### Load IVIM acquisition scheme and data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataset is already in place. If you want to fetch it again please first remove the folder /home/rutger/.dipy/ivim \n", "Acquisition scheme summary\n", "\n", "total number of measurements: 21\n", "number of b0 measurements: 1\n", "number of DWI shells: 20\n", "\n", "shell_index |# of DWIs |bvalue [s/mm^2] |gradient strength [mT/m] |delta [ms] |Delta[ms] |TE[ms]\n", "0 |1 |0 |N/A |N/A |N/A |N/A \n", "1 |1 |10 |N/A |N/A |N/A |N/A \n", "2 |1 |20 |N/A |N/A |N/A |N/A \n", "3 |1 |30 |N/A |N/A |N/A |N/A \n", "4 |1 |40 |N/A |N/A |N/A |N/A \n", "5 |1 |60 |N/A |N/A |N/A |N/A \n", "6 |1 |80 |N/A |N/A |N/A |N/A \n", "7 |1 |100 |N/A |N/A |N/A |N/A \n", "8 |1 |120 |N/A |N/A |N/A |N/A \n", "9 |1 |140 |N/A |N/A |N/A |N/A \n", "10 |1 |160 |N/A |N/A |N/A |N/A \n", "11 |1 |180 |N/A |N/A |N/A |N/A \n", "12 |1 |200 |N/A |N/A |N/A |N/A \n", "13 |1 |300 |N/A |N/A |N/A |N/A \n", "14 |1 |400 |N/A |N/A |N/A |N/A \n", "15 |1 |500 |N/A |N/A |N/A |N/A \n", "16 |1 |600 |N/A |N/A |N/A |N/A \n", "17 |1 |700 |N/A |N/A |N/A |N/A \n", "18 |1 |800 |N/A |N/A |N/A |N/A \n", "19 |1 |900 |N/A |N/A |N/A |N/A \n", "20 |1 |1000 |N/A |N/A |N/A |N/A \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/rutger/anaconda2/lib/python2.7/site-packages/dmipy-0.1.dev0-py2.7.egg/dmipy/core/acquisition_scheme.py:860: UserWarning: pulse_separation (big_delta) or pulse_duration (small_delta) are not defined in the Dipy gtab. This means the resulting DmipyAcquisitionScheme cannot be used with CompartmentModels that need these.\n" ] } ], "source": [ "from dipy.data.fetcher import read_ivim\n", "from dmipy.core.acquisition_scheme import gtab_dipy2dmipy, acquisition_scheme_from_bvalues\n", "img, gtab = read_ivim()\n", "scheme_ivim = gtab_dipy2dmipy(gtab, b0_threshold=1e6, min_b_shell_distance=1e6)\n", "scheme_ivim.print_acquisition_info\n", "\n", "data = img.get_data()\n", "data_slice = data[90: 155, 90: 170, 33, :]\n", "test_voxel = data_slice[0, 0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that this scheme has 1 b-value per \"shell\" for different b-values.\n", "\n", "The D*-Fixed IVIM implementation can be implemented as follows:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "We highly recommend installing pathos to take advantage of multicore processing.\n", "Setup brute2fine optimizer in 0.00300788879395 seconds\n", "Fitting of 1 voxels complete in 0.524432182312 seconds.\n", "Average of 0.524432182312 seconds per voxel.\n" ] } ], "source": [ "from dmipy.core.modeling_framework import MultiCompartmentModel\n", "from dmipy.signal_models.gaussian_models import G1Ball\n", "ivim_mod = MultiCompartmentModel([G1Ball(), G1Ball()])\n", "ivim_mod.set_fixed_parameter(\n", " 'G1Ball_2_lambda_iso', 7e-9) # Following Gurney-Champion 2016\n", "ivim_mod.set_parameter_optimization_bounds(\n", " 'G1Ball_1_lambda_iso', [.5e-9, 6e-9]) # Following Gurney-Champion 2016\n", "ivim_fit_Dfixed = ivim_mod.fit(\n", " acquisition_scheme=scheme_ivim,\n", " data=test_voxel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also fit the Dipy IVIM implementation as a reference" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from dipy.reconst.ivim import IvimModel\n", "ivimmodel = IvimModel(gtab)\n", "ivim_fit_dipy = ivimmodel.fit(test_voxel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we can visualize the signal fits to this test voxel for the different IVIM algorithms. Note they're very similar." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "fig, axs = plt.subplots(ncols=2, figsize=[10, 4], sharey=True)\n", "fig.suptitle('Test signal fit comparisons IVIM algorithms', fontsize=15)\n", "axs[0].set_ylabel('Signal Intensity')\n", "axs[0].scatter(scheme_ivim.bvalues, test_voxel, label='Measured DWIs')\n", "axs[0].plot(scheme_ivim.bvalues, ivim_fit_Dfixed.predict()[0], label='Dstar Fixed Fit')\n", "axs[1].scatter(scheme_ivim.bvalues, test_voxel, label='Measured DWIs')\n", "axs[1].plot(scheme_ivim.bvalues, ivim_fit_dipy.predict(gtab), label='Dipy IVIM reference')\n", "[ax.legend() for ax in axs]\n", "[ax.set_xlabel('b-value [s/m^2]') for ax in axs];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameter map comparison Dstar_fixed, and Dipy reference" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To properly evaluate the two algorithms we fit them to the same example slice as in the dipy IVIM example.\n", "\n", "Note that in practice we can import custom (prepared) multi-compartment models directly:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting IVIM Dstar-fixed algorithm.\n", "We highly recommend installing pathos to take advantage of multicore processing.\n", "Setup brute2fine optimizer in 0.00655007362366 seconds\n", "Fitting of 5200 voxels complete in 19.0747060776 seconds.\n", "Average of 0.00366821270723 seconds per voxel.\n", "IVIM Dstar-fixed optimization of 5200 voxels complete in 19.085 seconds\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/rutger/anaconda2/lib/python2.7/site-packages/dipy-0.16.0-py2.7-linux-x86_64.egg/dipy/reconst/ivim.py:458: UserWarning: x0 obtained from linear fitting is not feasibile as initial guess for leastsq while estimating f and D_star. Using parameters from the linear fit.\n", " warnings.warn(warningMsg, UserWarning)\n", "/home/rutger/anaconda2/lib/python2.7/site-packages/dipy-0.16.0-py2.7-linux-x86_64.egg/dipy/reconst/ivim.py:552: UserWarning: x0 is unfeasible for leastsq fitting. Returning x0 values from the linear fit.\n", " warnings.warn(warningMsg, UserWarning)\n", "/home/rutger/anaconda2/lib/python2.7/site-packages/dipy-0.16.0-py2.7-linux-x86_64.egg/dipy/reconst/ivim.py:347: UserWarning: Bounds are violated for leastsq fitting. Returning parameters from linear fit\n", " warnings.warn(warningMsg, UserWarning)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Dipy computation time: 91.0858941078 s\n" ] } ], "source": [ "from dmipy.custom_optimizers.intra_voxel_incoherent_motion import ivim_Dstar_fixed\n", "from time import time\n", "ivim_fit_dmipy_fixed = ivim_Dstar_fixed(scheme_ivim, data_slice)\n", "dipy_start = time()\n", "ivim_fit_dipy = ivimmodel.fit(data_slice)\n", "print('Dipy computation time: {} s'.format(time() - dipy_start))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then visualize the fitted parameter maps together:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "fig, axs = plt.subplots(nrows=4, ncols=2, figsize=[15, 16])\n", "fig.suptitle('IVIM Parameter Map Comparison', fontsize=25, y=0.93)\n", "axs = axs.ravel()\n", "axs[0].set_title('Dmipy Dstar-Fixed', fontsize=18)\n", "axs[1].set_title('Dipy', fontsize=18)\n", "axs[0].set_ylabel('S0-Predicted', fontsize=15)\n", "axs[2].set_ylabel('perfusion fraction', fontsize=15)\n", "axs[4].set_ylabel('D_star (perfusion)', fontsize=15)\n", "axs[6].set_ylabel('D (diffusion)', fontsize=15)\n", "\n", "args = {'vmin': 0., 'interpolation': 'nearest'}\n", "im0 = axs[0].imshow(ivim_fit_dmipy_fixed.S0, **args)\n", "im1 = axs[1].imshow(ivim_fit_dipy.S0_predicted, **args)\n", "im2 = axs[2].imshow(ivim_fit_dmipy_fixed.fitted_parameters['partial_volume_1'], vmax=1., **args)\n", "im3 = axs[3].imshow(ivim_fit_dipy.perfusion_fraction, vmax=1., **args)\n", "im4 = axs[4].imshow(np.ones_like(ivim_fit_dmipy_fixed.S0) * \n", " ivim_fit_dmipy_fixed.fitted_and_linked_parameters['G1Ball_2_lambda_iso'] * 1e9, vmax=20, **args)\n", "axs[4].text(10, 10, 'Fixed to 7e-9 mm$^2$/s', fontsize=14, color='white')\n", "im5 = axs[5].imshow(ivim_fit_dipy.D_star * 1e3, vmax=20, **args)\n", "im6 = axs[6].imshow(ivim_fit_dmipy_fixed.fitted_parameters['G1Ball_1_lambda_iso'] * 1e9, vmax=6, **args)\n", "im7 = axs[7].imshow(ivim_fit_dipy.D * 1e3, vmax=6, **args)\n", "\n", "for im, ax in zip([im0, im1, im2, im3, im4, im5, im6, im7], axs):\n", " fig.colorbar(im, ax=ax, shrink=0.7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the two algorithms have basically the same S0 estimation, but differences can be found in the other maps. \n", "\n", "Interestingly, the Dipy IVIM algorithm finds overall higher perfusion volume fractions -- sort of clustered around 0.25 -- than the Dmipy implementation, as well as extremely high D-star values outside of the optimization range.\n", "\n", "Our findings become more clear in the following parameter histograms in the example slice:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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IhH2uInSFLCEsf/A1wufx28Dx0Tfq3raA8E25GLiM8A/+WcJU/ucS8n6HsPBlPSH4OZ3wD2AK28+e3FF1hNlkbxO6bv6N8M+vhrBA7Vnxmd39ccI/7icIC6B+ixDM/RL4hLsv66F69YQePX/R2L1TCQuOjiV8fo4k3Cd2OqG1pVe5eyUhKP4PQhfeuVE9Dicc01eA1+LybyQEDm8S/ka+G/0Mi7Y3E7oFzycEmrHbqZ1A+Nv4DqGVKRs9QDj35YRg6uuEbuwHgUnu/mIsYxrnYQMhuP0vwriwKwif/ZcIy/1ss5BrNHv0c1EZhYRxcDMI6/VdGmXr0uK+7v4q4YvDC4QFbL9KWKj3dMLfV2+7mhDMHkpo7Y8tHH4VcEySLn7JUda12dEifZ+FW+b8Gbje4+47KSK5xcyOJ8zM/IG7X5Pp+oh0lVrSRESkTzOzsUnSRgA/iF4+unNrJNIzNCZNRET6upvM7GBC92QVYVzgZwljHm9z95SL1opkMwVpIiLS1/2WMHHkFMJyLw3AG4SZ5L/OYL1EukVj0kRERESykMakiYiIiGQhBWkiIiIiWUhBmoiIiEgWUpAmIiIikoUUpImIiIhkIQVpIiIiIllIQZqIiIhIFlKQJiIiIpKFFKSJiIiIZCEFaSIiIiJZSEGaiIiISBZSkCYiIiKShRSkiYiIiGQhBWkiIiIiWUhBmoiIiEgWUpAmIiIikoUUpImIiIhkIQVpIiIiIllIQZqIiIhIFlKQJiIiIpKFFKSJiIiIZCEFaSIiIiJZSEGaiIiISBZSkCYiIiKShRSkiYiIiGQhBWkiIiIiWUhBmoiIiEgWUpAmIiIikoUUpImIiIhkIQVpIiLS75jZf5rZOjNb3Y0ydjezzWaW35N1yyQz+3cz+3Wm6yGBgjTpE8zsSDN7wcyqzWyDmf3NzCZH284xsw/MrM7MHjOz4Zmur4j0LDNbbmb1UVC0xszuNLNBO1jWx4BvAhPdfZcdrZO7r3D3Qe7euqNlpGJmHl3TNkc/m3rhPaaaWWV8mrt/z90v6un3kh2jIE2ynpkNAX4H3AIMB3YFrgcazWx/4DbgPGA0sAX4eYaqKiK96xR3HwQcCkwGvt3VAsysANgDWO/ua3u4fj3t4CgIHOTuQ5NliI5HcpSCNOkL9gFw9wfcvdXd6939KXd/FTgX+D93f87dNwPfAU43s8GZrLCI9B53/wj4A3AAgJmVmdntZrbKzD6KujLzo20XRi3vN5vZBmA+8DQwNmqhuitZi1LUcveZ6PkUM1tkZjVRK95NUfq4qMWrIHo91szmRa39S83sy3HlzTazh8zsHjOrNbM3zGxSV489Vlczuyrqqr3TzIaZ2e/MrMrMNkbPd4vbZ3jU8rgy2v6YmQ2MzmHsPGyO6j/bzP43bt9To7puMrP5ZrZfwjn6lpm9GvVyzDWzkq4ek6SmIE36gneBVjO728w+a2bD4rbtD/wz9sLd3wOaiAI7Eck9UXflicArUdLdQAuwN3AIMA2I77I7DFgGjAKOBz4LrIxaqC5M4y1/AvzE3YcAewEPpcj3AFAJjAXOBL5nZsfFbT8VeBAYCswDbk3jvZPZhdCrsAdwMeF/+Z3R692B+oSy7wUGEK6Xo4Cb3b2Obc/DIHdfGf8mZrZPdExfB8qBJ4D/M7OiuGyfB04AxgMHARfu4DFJEgrSJOu5ew1wJODAr4Cq6NvqaGAQUJ2wSzWgljSR3PNYNDbreeAvhCBoNCHY+Lq710VdmDcDM+P2W+nut7h7i7vX78D7NgN7m9lId9/s7n9PzBAFjkcCV7l7g7svBn5NGIoR87y7PxGNYbsXOLiT9/1H1IK1ycx+GpfeBlzn7o1Rz8J6d3/E3be4ey1wI/DpqF5jCOfnEnff6O7N7v6XNI/7bOD37v60uzcD/wOUAofH5fmpu6909w3A/wEVaZYtaVBftvQJ7v4W0Tc0M9sX+F/gx8BmYEhC9iFA7c6sn4jsFKe5+zPxCWZ2IFAIrDKzWHIe8GFctvjnO+JLwA3A22b2PnC9u/8uIc9YYEMUJMV8AMR3acbPJN0ClJhZgbu3pHjfQ919aZL0KndviL0wswGEwPQEINbTMDjq8v1YVK+NHR9iUmOjYwDA3dvM7EPCuOCYxGMauwPvIymoJU36HHd/G7iLMB7lDeK+jZrZnkAxoYtURHLfh0AjMNLdh0Y/Q9x9/7g83kkZdYTuQACi4Ka8fWf3Je4+i9BV+EPg4WhMV7yVwPCE8bC7Ax91+Yg6l3g83wQ+DhwWdckeHaUb4fwMN7NkEw86Oy8rCV2oobAQBX+M3jkmSUJBmmQ9M9vXzL4ZGwgbdSvMAv4O3AecYmZHRRfNG4DfJnybFZEc5e6rgKeAH5nZEDPLM7O9zOzTXSjmXUKr1klmVkiYNVoc22hm/2Jm5e7eBsSWwthm2Q13/xB4Afi+mZWY2UGEFrj7dvzo0jaYMA5tk4UliK6Lq9cqwgSBn0cTDArNLBbErQFGmFlZinIfAk4ys+Oi8/JNQkD8Qm8diGxLQZr0BbWEgb8LzKyOEJy9DnzT3d8ALiFcCNcSLlb/mqmKikhGnA8UAW8CG4GHgTHp7uzu1YTrxq8JrUR1hAkAMScAb5jZZsIkgpnx3Y1xZgHjCC1QjxLGjT3d1YPZAT8mjBVbR7g+/jFh+3mEcXVvE66TX4f2XokHgGXRuLdtuird/R3gXwjLH60DTiEsg9LUe4ci8cy9s9ZOEREREdnZ1JImIiIikoUUpImIiIhkIQVpIiIiIllIQZqIiIhIFlKQJiIiIpKFcuKOAyNHjvRx48ZluhoispO8/PLL69y9vPOc2U/XL5H+J91rWE4EaePGjWPRokWZroaI7CRm9kHnufoGXb9E+p90r2Hq7hQRERHJQgrSRERERLKQgjQRERGRLJQTY9IkdzU3N1NZWUlDQ7Lb5EmuKykpYbfddqOwsDDTVRHZIbqG9W/dvYYpSJOsVllZyeDBgxk3bhxmlunqyE7k7qxfv57KykrGjx+/097XzD4G3APsArQBc9z9J2Y2HJhLuIH2cuDz7r4xyf4XAN+OXv6nu9+9M+ot2UnXsP6rJ65h6u6UrNbQ0MCIESN0ceuHzIwRI0ZkogWiBfimu+8HfBK41MwmAlcDf3L3CcCfotfbiAK564DDgCnAdWY2bKfVXLKOrmH9V09cwxSkSdbTxa3/ysTv3t1Xufs/oue1wFvArsAMINYqdjdwWpLdpwNPu/uGqJXtaeCE3q+1ZDNdw/qv7v7uFaSJdCI/P5+Kigr2339/Dj74YG666Sba2tq6VMa1117LM8880+26zJ49m1133ZWKigomTJjA6aefzptvvtnhPo899linedIxdepUPv7xj1NRUUFFRQUPP/wwAIcffni3ywa48MIL28vMFmY2DjgEWACMdvdVEAI5YFSSXXYFPox7XRmliWSMrmFBX7yGaUxaDrt/wYrt0s45bPcM1KTnJDum7kjnfJSWlrJ48WIA1q5dyznnnEN1dTXXX3992u9zww037HAdE33jG9/gW9/6FgBz587l2GOP5bXXXqO8PPni1Y899hgnn3wyEydOTPs9WlpaKCjY/vJw3333MWnSpG3SXnjhhS7Uvu8ws0HAI8DX3b0mzW/EyTJ5krIvBi4G2H33vv03KV2T1jWsafPW50WDOsyqa1hyuXINU0uaSBeMGjWKOXPmcOutt+Lu3HXXXZx22mmccsopjB8/nltvvZWbbrqJQw45hE9+8pNs2LAB2PYb1rhx47jqqquYMmUKU6ZMYenSpdTW1jJ+/Hiam5sBqKmpYdy4ce2vUzn77LOZNm0a999/PwBXX301EydO5KCDDuJb3/oWL7zwAvPmzePKK6+koqKC9957j1/96ldMnjyZgw8+mDPOOIMtW7a01/GKK67gmGOO4aqrrkr7nAwaFP6JPProo3zmM5/B3Vm1ahX77LMPq1evprW1lSuvvJLJkydz0EEHcdtttwFhUO1ll13GxIkTOemkk1i7dm0XfhO9y8wKCQHafe7+2yh5jZmNibaPAZJVuBL4WNzr3YCViZncfY67T3L3San+MYn0Bl3DtpfN1zC1pIl00Z577klbW1v7H+Trr7/OK6+8QkNDA3vvvTc//OEPeeWVV/jGN77BPffcw9e//vXtyhgyZAgvvfRS+/bf/e53TJ06ld///vecdtppPPjgg5xxxhlpTds+9NBDefvtt9mwYQOPPvoob7/9NmbGpk2bGDp0KKeeeionn3wyZ555JgBDhw7ly1/+MgDf/va3uf3227n88ssBePfdd3nmmWfIz89P+l7nnnsupaWlAPzpT39ixIgR7ds+97nP8cgjj/Czn/2MP/7xj1x//fXssssuzJkzh7KyMhYuXEhjYyNHHHEE06ZN45VXXuGdd97htddeY82aNUycOJEvfvGLXfhN9A4LTWa3A2+5+01xm+YBFwA/iB4fT7L7k8D34iYLTAOu6cXqinSZrmF95xqmljSRHeC+tQfrmGOOYfDgwZSXl1NWVsYpp5wCwIEHHsjy5cuT7j9r1qz2xxdffBGAiy66iDvvvBOAO++8ky984QtdqsuQIUMoKSnhoosu4re//S0DBgxImv/111/nqKOO4sADD+S+++7jjTfeaN921llnpby4QegqWLx4MYsXL97m4hZzyy238P3vf5/i4uL2Y3zqqae45557qKio4LDDDmP9+vUsWbKE5557jlmzZpGfn8/YsWM59thj0zreneAI4DzgWDNbHP2cSAjOjjezJcDx0WvMbJKZ/RrA3TcA3wUWRj83RGkiWUXXsL5xDVOQJtJFy5YtIz8/n1Gjwrjx4uLi9m15eXntr/Py8mhpaUlaRvz4ptjzI444guXLl/OXv/yF1tZWDjjggLTq88orr7DffvtRUFDASy+9xBlnnMFjjz3GCSckn1R44YUXcuutt/Laa69x3XXXbTM9fODAge3Pp0+fTkVFBRdddFFa9QD46KOPyMvLY82aNe0Dk92dW265pf3C+P777zNt2rTtzkO2cPfn3d3c/SB3r4h+nnD39e5+nLtPiB43RPkXuftFcfvf4e57Rz93Zu5IRJLTNSy1bLuGKUgT6YKqqiouueQSLrvssm79cc6dO7f98VOf+lR7+vnnn8+sWbPS/gb6yCOP8NRTTzFr1iw2b95MdXU1J554Ij/+8Y/bBwoPHjyY2tra9n1qa2sZM2YMzc3N3HfffSnLfvLJJ1m8eDG//vWv06pLS0sLX/jCF7j//vvZb7/9uOmm0FM4ffp0fvGLX7SPTXn33Xepq6vj6KOP5sEHH6S1tZVVq1bx5z//Oa33EZEdp2tYatl4DdOYNJFO1NfXU1FRQXNzMwUFBZx33nlcccUV3SqzsbGRww47jLa2Nh544IH29HPPPZdvf/vb7c3sydx888387//+L3V1dRxwwAE8++yzlJeXs2rVKmbMmEFDQwPuzs033wzAzJkz+fKXv8xPf/pTHn74Yb773e9y2GGHsccee3DggQduc/Hrju9973scddRRHHXUUVRUVDB58mROOukkLrroIpYvX86hhx6Ku1NeXs5jjz3G5z73OZ599lkOPPBA9tlnHz796U/3SD1EZFu6hqUnG69hFt8v3VdNmjTJFy1alOlqZJ0Fv/nRNq/f2/2sPrcEx1tvvcV+++2X6Wr0qHHjxrFo0SJGjhy53baHH36Yxx9/nHvvvTcDNctOyT4DZvayu09KsUufoutXbtuha1jduq3PB25/ncg0XcO6pjvXMLWkiWSJyy+/nD/84Q888cQTma6KiEiX6RrW8xSkiexkqWZL3XLLLTu3IiIiO0DXsJ0nrYkDZnaCmb1jZkvNLNlNhYvNbG60fUF0K5XYtmui9HfMbHpnZVpwo5m9a2ZvmdnXuneIIiIiIn1Ppy1pZpYP/IywLlAlsNDM5rl7/I20vgRsdPe9zWwm8EPgbDObCMwE9gfGAs+Y2T7RPqnKvJCwYve+7t5mZsnujyciIiKS09JpSZsCLHX3Ze7eBDwIzEjIMwO4O3r+MHBctGr3DOBBd2909/eBpVF5HZX5VcICkG0A7p4994oRERER2UnSCdJ2BT6Me10ZpSXN4+4tQDUwooN9OypzL0IcMlx+AAAgAElEQVQr3CIz+4OZTUjvUERERERyRzpBWrLV7hLX7UiVp6vpAMVAQzQ19VfAHUkrZXZxFMgtqqqqSlpxkZ6Qn59PRUUF+++/PwcffDA33XRT+0rUixYt4mtf6/6wyeXLl1NaWkpFRQUTJ07k/PPP7/TGxABXXnkl+++/P1deeWW36yAiuUnXsL4rndmdlYQxYjG7AStT5Kk0swKgDNjQyb6p0iuBR6LnjwJJb6vi7nOAORDWGUrjOCQXLOrhu+xM6nxV7NLS0vaVr9euXcs555xDdXU1119/PZMmTWLSpJ5ZrmuvvfZi8eLFtLa2cvzxx/PQQw9x7rnndrjPbbfdRlVV1Ta3delIS0sLBQWa1C2SMelcw5o2b31eNKjjvLqG5bR0WtIWAhPMbLyZFREmAsxLyDMPuCB6fibwrIdVcucBM6PZn+OBCcBLnZT5GBC7S+mngXd37NBEet6oUaOYM2cOt956K+7O/PnzOfnkkwGYPXs25513HsceeywTJkzgV7/6FQDnnXcejz/+eHsZ5557LvPmJf4JbZWfn8+UKVP46KOPAGhtbeXKK69k8uTJHHTQQdx2220AnHrqqdTV1XHYYYcxd+5cqqqqOOOMM5g8eTKTJ0/mb3/7W3u9Lr74YqZNm8b555+fsrz58+czdepUzjzzTPbdd1/OPffc9hsfL1y4kMMPP5yDDz6YKVOmUFtbm7IcEcleuob1rWtYp+Gou7eY2WXAk0A+cIe7v2FmNwCL3H0ecDtwr5ktJbSgzYz2fcPMHgLeBFqAS929FSBZmdFb/gC4z8y+AWwG0r8zqnRorxW/gfzhWxPS+AYm29tzzz1pa2tj7drt57S8+uqr/P3vf6euro5DDjmk/ZYiN998MzNmzKC6upoXXniBu+++O0nJQUNDAwsWLOAnP/kJALfffjtlZWUsXLiQxsZGjjjiCKZNm8a8efMYNGhQ+zfkc845h2984xsceeSRrFixgunTp/PWW28B8PLLL/P8889TWlrKnDlzkpYH4UbHb7zxBmPHjuWII47gb3/7G1OmTOHss89m7ty5TJ48mZqaGkpLS1PWa/z48T19ykWkB+ka1neuYWm1Gbr7E8ATCWnXxj1vAM5Kse+NwI3plBmlbwJOSqdeIpmS6nZqM2bMoLS0lNLSUo455hheeuklTjvtNC699FLWrl3Lb3/7W84444ykzfXvvfceFRUVLFmyhDPPPJODDjoIgKeeeopXX32Vhx9+GIDq6mqWLFmy3YXkmWee4c03t66MU1NT035Pu1NPPZXS0tIOyysqKmLKlCnstttuAFRUVLB8+XLKysoYM2YMkydPBmDIkCFdqpeIZB9dw/rGNaz/dOyK9JBly5aRn5/PqFGj2r/lxYSVZ7Z/fd5553Hffffx4IMPcscdSefCtI/nWLVqFVOnTmXevHmceuqpuDu33HIL06dPT7pfTFtbGy+++GL7hSzewIED25+nKm/+/PnbjAvJz8+npaUFd9/uuDoqR0Sym65hHZeTTdK644CIBFVVVVxyySVcdtllSf/oH3/8cRoaGli/fj3z589v/+Z24YUX8uMf/xiA/fffv8P3GDNmDD/4wQ/4/ve/D8D06dP5xS9+0T5T6t1336Wurm67/aZNm8att97a/jrWhZAo3fJi9t13X1auXMnChQsBqK2tpaWlpcvliEjm6RrWt65hakkT6UR9fT0VFRU0NzdTUFDAeeedxxVXXJE075QpUzjppJNYsWIF3/nOdxg7diwAo0ePZr/99uO0005L6z1PO+00Zs+ezV//+lcuuugili9fzqGHHoq7U15ezmOPPbbdPj/96U+59NJLOeigg2hpaeHoo4/ml7/85Xb50i0vpqioiLlz53L55ZdTX19PaWkpzzzzTJfLEZHM0DWs717DLFW/dF8yadIkX7RoUaarkXUW/OZH26UdNr5vTRx466232G+//TJdjbTMnj2bQYMG8a1vfWu7bVu2bOHAAw/kH//4B2VlZRmoXd+V7DNgZi9Hayn2ebp+5bYduobVrdv6fODInq1QB3QN6x3duYapu1Oklz3zzDPsu+++XH755bq49QFmdoeZrTWz1+PS5prZ4uhnuZkl7YeJtr0W5VPkJTlB17DMUXenSA+ZPXt20vTPfOYzrFixYudWRrrjLuBW4J5YgrufHXtuZj8i3PoulWPcfV0H20Wykq5h2UdBmohIHHd/zszGJdtmYaT159m64LaISK9Rd6dkvVwYNyk7Jgt/90cBa9x9SYrtDjxlZi+b2cU7sV6SxbLwcyw7SXd/9wrSJKuVlJSwfv16XeT6IXdn/fr1lJSUZLoq8WYBD3Sw/Qh3PxT4LHCpmR2dLJOZXWxmi8xsUVVVVW/UU7KErmH9V09cw9TdKVltt912o7KyEv0j659KSkraVw/PNDMrAE4HPpEqj7uvjB7XmtmjwBTguST55gBzIMzu7JUKS1bYoWtYY9wN1ot17evLunsNU5AmWa2wsDCrbtEh/dpngLfdvTLZRjMbCOS5e230fBpww86soGSfHbqGLbpz6/OK7F8qSXqPujtFROKY2QPAi8DHzazSzL4UbZpJQlenmY01s9g9iEcDz5vZP4GXgN+7+x93Vr1FJPeoJU1EJI67z0qRfmGStJXAidHzZcDBvVo5EelX1JImIiIikoUUpImIiIhkIQVpIiIiIllIQZqIiIhIFlKQJiIiIpKFFKSJiIiIZCEFaSIiIiJZSEGaiIiISBZSkCYiIiKShRSkiYiIiGQhBWkiIiIiWSitIM3MTjCzd8xsqZldnWR7sZnNjbYvMLNxcduuidLfMbPpnZVpZneZ2ftmtjj6qejeIYqIiIj0PZ3eYN3M8oGfAccDlcBCM5vn7m/GZfsSsNHd9zazmcAPgbPNbCIwE9gfGAs8Y2b7RPt0VOaV7v5wDxyfiIiISJ+UTkvaFGCpuy9z9ybgQWBGQp4ZwN3R84eB48zMovQH3b3R3d8HlkblpVOmiIiISL+VTpC2K/Bh3OvKKC1pHndvAaqBER3s21mZN5rZq2Z2s5kVp1FHERERkZySTpBmSdI8zTxdTQe4BtgXmAwMB65KWimzi81skZktqqqqSpZFkljw/ob2n/sXrMh0dURERCSFdIK0SuBjca93A1amymNmBUAZsKGDfVOW6e6rPGgE7iR0jW7H3ee4+yR3n1ReXp7GYYiIiIj0HekEaQuBCWY23syKCBMB5iXkmQdcED0/E3jW3T1KnxnN/hwPTABe6qhMMxsTPRpwGvB6dw5QRKQrzOwOM1trZq/Hpc02s4/iZp2fmGLfDmfCi4h0RaezO929xcwuA54E8oE73P0NM7sBWOTu84DbgXvNbCmhBW1mtO8bZvYQ8CbQAlzq7q0AycqM3vI+MysndIkuBi7pucMVEenUXcCtwD0J6Te7+/+k2inNmfAiImnrNEgDcPcngCcS0q6Ne94AnJVi3xuBG9MpM0o/Np06iYj0Bnd/Ln6txy5on7UOYGaxWesK0kRkh+iOAyIi6bksmnV+h5kNS7I9nZnwIiJpU5AmItK5XwB7ARXAKuBHSfKkMxM+ZNTsdBFJg4I0EZFOuPsad2919zbgVySfdZ7OTPhYeZqdLiKdUpDWH7gzYtNrfPyD+yhoqct0bUT6nNis88jnSD7rPJ2Z8CIiaUtr4oD0Ye7sXfkII2rC2OWhtUtYN0z3rBdJxcweAKYCI82sErgOmGpmFYTuy+XAV6K8Y4Ffu/uJqWbCZ+AQRCRHKEjLcaWNaxlR8yarRnySkZteZUjdcgVpIh1w91lJkm9PkXclcGLc66Sz1kVEdoSCtBw3sGENAFVDKyhurmbIlg8yXCMRERFJh8ak5bgBDatps3zqi0dSM2APipurKWralOlqiYiISCcUpOW4AQ1rWFcwhmVbSqkZuAeAWtNERET6AAVpucyd0obVPFu/N9e8PZ7/+uggmvNKGVynIE1ERCTbKUjLYYUttRS11vOm78Hhw2p4ftMw3ivYiyEK0kRERLKegrQcNrBhNQDL7GNcNn4lZQUtLPYJlDRvJL+1IcO1ExERkY4oSMthpfVhZmfewJHkG+wzqJ5Xm8YCUKzJAyIiIllNQVoOy9uylg/aRrFPWRsAEwbW82pTWDi9uFlBmoiISDZTkJbDShrW8pbvwUFDwq2gJgys50MfBUBx08ZMVk1EREQ6oSAtV7lT1rqRtXnljC5uBmDPAQ3UMoB6Sihurs5wBUVERKQjCtJy1Zb1FNKCFw1qTyrJd3YvbWI1I9WSJiIikuV0W6gc1byxkkKgtXDwNun7DKrnvepRHN78YWYqJiKSBe5fsKL9+TmH7Z7Bmoikppa0HLVx9XIA8ksGbZO+98B6PmgbHW4N5Z6BmomIiEg6FKTlqOo1YcHa4pIB26SPKW7iQy+nwJspbtqQiaqJiIhIGhSk5aiG9R/S4nkMGVC8Tfqo4mYqvRyAQfUrM1E1ERERSYOCtBzlNR+xlmEMK2rbJr2soJXVjARgYP1HmaiaiIiIpEFBWo4qrFvNBhtKnm2bbgaNRUMBGLSlMgM1ExERkXQoSMtRAxvXUpNXlnTb4OJ8NjFILWkiIiJZLK0gzcxOMLN3zGypmV2dZHuxmc2Nti8ws3Fx266J0t8xs+ldKPMWM9u8Y4fVv3lbGyNbq6jPTx6kjS5u4sO2cgZtUZAmksjM7jCztWb2elzaf5vZ22b2qpk9amZDU+y73MxeM7PFZrZo59VaRHJRp0GameUDPwM+C0wEZpnZxIRsXwI2uvvewM3AD6N9JwIzgf2BE4Cfm1l+Z2Wa2SQg6UVQOrdh43oGWCMtCWukxZQXNbPCyymtX7WTaybSJ9xFuF7Fexo4wN0PAt4Frulg/2PcvcLdJ/VS/USkn0inJW0KsNTdl7l7E/AgMCMhzwzg7uj5w8BxZmZR+oPu3uju7wNLo/JSlhkFcP8N/L/uHVr/taZyGQBWPCjp9tHFzaz1YZQ2Vu3Maon0Ce7+HLAhIe0pd2+JXv4d2G2nV0xE+p10grRdgfjl6SujtKR5ogtZNTCig307KvMyYJ67q5lnB22KFrItKh2YdPuo4maqfCjFrXXQtGUn1kwkJ3wR+EOKbQ48ZWYvm9nFO7FOIpKD0gnSLEla4lL1qfJ0Kd3MxgJnAbd0Wimzi81skZktqqpSi1C8LVXhdicDSgck3T6qqIm1sd7kzat3VrVE+jwz+w+gBbgvRZYj3P1QwlCOS83s6BTl6PolIp1KJ0irBD4W93o3IHEV1PY8ZlYAlBG6C1Ltmyr9EGBvYKmZLQcGmNnSZJVy9znuPsndJ5WXl6dxGP1HW0306ylK3t1Zku9szovGq9Wu2Um1EunbzOwC4GTgXPfk91Rz95XR41rgUcLQjmT5dP0SkU6lE6QtBCaY2XgzKyJMBJiXkGcecEH0/Ezg2egiNg+YGc3+HA9MAF5KVaa7/97dd3H3ce4+DtgSTUaQLijaspqNNhTPy0+Zp7UwCuDUkibSKTM7AbgKONXdk44RMLOBZjY49hyYBryeLK+ISDoKOsvg7i1mdhnwJJAP3OHub5jZDcAid58H3A7cG7V6bSAEXUT5HgLeJHQRXOrurQDJyuz5w+ufShurqCkc2WGevKKB0IBa0kQSmNkDwFRgpJlVAtcRZnMWA0+HOVH83d0viYZo/NrdTwRGA49G2wuA+939jxk4BBHJEZ0GaQDu/gTwRELatXHPGwhjyZLteyNwYzplJsmTvL9OOjSweSMNg0d0mKe0uIjm+nwKalcnHSAo0l+5+6wkybenyLsSODF6vgw4uBerJv3N6tfgJwfDl56GQaMyXRvJgLSCNOkb7l+wgtY25xjfxIq2caTu7IRhRa1UUcbwTSsp2Wk1FBGRtFRXwiv3QmsTbPxAQVo/pdtC5ZjahmaGU0tDccctacMLW1jrQ2nepJVORESyzqtzoa01PG/WUkn9lYK0HNNQV8sAa6S5syCtqIUqHwabNSZNRCTrNFTDkDHhuYK0fktBWo7xzWsBaCtNryWtcMvanVEtERHpitYmKIwWJFeQ1m8pSMsxvmV9eBzY8ezOsihIK2neCC1NO6NqIiKSrtZmKIoFafWZrYtkjIK0HFNQvy48GdBxkJZvUFMYtbbVqTVNRCRrtLWCtypIEwVpuaawMdwXurmk4+5OgLrYWmpaK01EJHu0NYfHInV39ncK0nJMcVMI0hqKhnWat6Ekuh2N7jogIpI9WqMgLTYmrUlBWn+lIC3HDGjeQAPFtBYkv7l6vKbSKEirVZAmIpI1WqNxwgVFUFCilrR+TEFajhnYUk1N/tA0M4+izY2Waq2VJiKSNWItafmFUFiqMWn9mIK0HNLa5gxt28TmNIO0QaUlrGcw9RtX9nLNREQkbbExaXlFUDhAQVo/piAth2xubGG41VBf2Pl4NIAhpYVU+TC1pImIZJNtWtIGqLuzH1OQlkNq6psZYTU0Fg9PK//gkgLW+lBMdx0QEcke23V3KkjrrxSk5ZDa+mZGUNvpLaFiykoLddcBEZFsE5s4oJa0fk9BWg5pqq+m2Jpp7eSWUDHFBXlszB9OadOGrTfyFRGRzGpvSSvSxIF+TkFaDsnfEu424J3cbSDGzGgsLiePVohuJyUiIhkWa0nLK9TEgX6uINMVkJ5TtvFVAEbUvEnBivTux9k6cBQ0EdZKGzSqF2snIiJpaYsbk1ak7s7+TC1pOSS/uQ6A5jQWso3JGzImPNHkAREAzOwOM1trZq/HpQ03s6fNbEn0mHQKtZldEOVZYmYX7LxaS05Rd6dEFKTlkMLW8G2rpWBg+vsMDUGa12oZDpHIXcAJCWlXA39y9wnAn6LX2zCz4cB1wGHAFOC6VMGcSIcSJw7otlD9loK0HFLSGrWk5acfpA0asSsA9Ru0oK0IgLs/B2xISJ4B3B09vxs4Lcmu04Gn3X2Du28Enmb7YE+kc63NkJcPlqclOPo5BWk5pLRtM/WU4HnpDzUsH1ZGtQ9QkCbSsdHuvgogekw2gHNX4MO415VRmkjXtDaHSQMQWtLamrd2gUq/oiAtRzS2tFJGLXV5g7q03+iyEtb6MFpr1N0p0k2WJM2TZjS72MwWmdmiqqqqXq6W9DltzWE8GoQgDTQurZ9SkJYj1m9uYgQ1NOSl39UJsMuQEt11QKRza8xsDED0mGwF6ErgY3GvdwOSNlG7+xx3n+Tuk8rLy3u8stLHtTaH8WgQujtBQVo/pSAtR6zb3MgIq6WpC5MGAMoHF1PFUIrq9W1epAPzgNhszQuAx5PkeRKYZmbDogkD06I0ka5pbYoL0mItaXWZq49kTFpBmpmdYGbvmNlSM0s2q6nYzOZG2xeY2bi4bddE6e+Y2fTOyjSz283sn2b2qpk9bGZd67/rp9ZvbmKEVdPaheU3AArz86gpGMGApnXgSXtmRPoVM3sAeBH4uJlVmtmXgB8Ax5vZEuD46DVmNsnMfg3g7huA7wILo58bojSRrmlthrxYd6da0vqzTkeYm1k+8DPChakSWGhm89z9zbhsXwI2uvveZjYT+CFwtplNBGYC+wNjgWfMbJ9on1RlfsPda6L3vgm4jOiCKKlV1TYwnFqqC7sWpAE0lZZTuKUJGjZBqVYMkP7N3Wel2HRckryLgIviXt8B3NFLVZP+ImlLmoK0/iidlrQpwFJ3X+buTcCDhOno8eKnpz8MHGdmFqU/6O6N7v4+sDQqL2WZcQGaAaWkGHgr26rdtJ5CayWvsKTL+7YNHB0VonFpIiIZ15ZsTJqW4eiP0gnS0plW3p7H3VuAamBEB/t2WKaZ3QmsBvYFbkmjjv1eQ3UUYBV2bUwaQN6QXcKTzat7sEYiIrJDWuNmdxapJa0/SydIS2daeao8XU0PT9y/QOgefQs4O2mlNIV9Gy01IUjryi2hYoqHjg37VmsZDhGRjNtmdmd0TW/SxIH+KJ0gLZ1p5e15zKwAKCOs2J1q307LdPdWYC5wRrJKaQr7trxuHQAtXbjbwF4rfgOL7mRgXWjUrFv3Ua/UTUREumCbxWw1caA/SydIWwhMMLPxZlZEmAgwLyFP/PT0M4Fn3d2j9JnR7M/xwATgpVRlWrA3tI9JOwV4u3uH2D/kbQlBWnMXl+AAGDGwiC1eTMNG3XVARCTj2pJNHNCYtP6o09md7t5iZpcR1vvJB+5w9zfM7AZgkbvPA24H7jWzpYQWtJnRvm+Y2UPAm0ALcGnUQkaKMvOAu81sCKFL9J/AV3v2kHNTYWOY6d+S3/Xuzl0GtLHWh1Kouw6IiGRe/Jg0taT1a2nd5NHdnwCeSEi7Nu55A3BWin1vBG5Ms8w24Ih06iRbtbY5pU0b2VJYiufld3n/XUrbeIehfEx3HRARyay2Vmhr0RIcAuiOAzlh05awkG19F+/bGTOk0FnPUIoaNAFDRCSjWhrCY6wlLS8f8ovV3dlPKUjLAet28L6dMWZQl18W7jogIiKZE2sxi00cgNDlqSCtX1KQlgPWbW5kuNXu0KSBmMbCIZS2bdE0bxGRTIoFafnxQdoABWn9lIK0HBBurl5NW0HpDpfhxWXhSa0WtBURyZj27s7EljSNSeuPFKTlgHXRfTvbV6beAfklgwFwBWkiIpkTazHbriVNQVp/pCAtB2zZVEW+OdaNlrTiASFI27JBC9qKiGRMc8LEAQhfwDUUpV9SkJYDGqP7drbswH07YwYPDkHaZt11QEQkc2ItafETBwpKtnaDSr+iIC0HtGwOS2d05ZZQiYYPLKHZ82nYqAVtRUQyJnEJDtCYtH5MQVoOsLoQpO3IzdVjRg2AKspoq1WQJiKSMclmd6olrd9SkJYD8uvDLaG6swTH6NJwa6i8zWt7qloiItJVSZfgKN06Vk36FQVpfZy7U9y0Htix+3bGFOXBprzhuuuAiEgmtcSCtLjuzoKSrenSr6R1707JXpsbWyhrq6G+eChY12PuBe9vaH++MW84g5qW9GT1RHKGmX0cmBuXtCdwrbv/OC7PVOBx4P0o6bfufsNOq6T0fSnvOKCWtP5IQVoft25zuG9nc/HwbpdVWziSwY3V0NIEBUWd7yDSj7j7O0AFgJnlAx8BjybJ+ld3P3ln1k1ySHOSxWzVktZvqbuzj1u/uZERVktb6Yhul1VfPDI8qdO4NJFOHAe85+4fZLoikmOat4Rekbz8rWmFpdDWAq0tmauXZISCtD5u3eZGRlCDDSrvdlkNJaMAaN60sttlieS4mcADKbZ9ysz+aWZ/MLP9k2Uws4vNbJGZLaqq0jhQidPSsO14NAgtaaDWtH5IQVofF+vuLBwyqttlNQ0cA0DNmuXdLkskV5lZEXAq8Jskm/8B7OHuBwO3AI8lK8Pd57j7JHefVF7e/S9YkkOa67ft6oTQkhbbJv2KgrQ+bn1tHUOpo7hsdLfLah20KwBb1qkHR6QDnwX+4e5rEje4e427b46ePwEUmtnInV1B6cOa67edNABbW9IUpPU7CtL6uC2bqsgzJ78HujsLBw2jzotp3vBhD9RMJGfNIkVXp5ntYmYWPZ9CuMau34l1k76upX777s5YS5oWtO13NLuzj2upicazDBwJ1HSrrKEDilnlI8ivVpAmkoyZDQCOB74Sl3YJgLv/EjgT+KqZtQD1wEx390zUVfqoZN2daknrtxSk9XFtsTsEDBgJLOtWWSWFeayxcsbV6dZQIsm4+xZgRELaL+Oe3wrcurPrJTkk6Zi02MQBtaT1N+ru7ONsS9STMrD73Z1mRk3xaAY1ru52WSIisgOStqRp4kB/pSCtjyts7LkgDaBxwBjKWjdCS2OPlCciIl3Q0gB5iWPS1JLWXylI68MamlsZ2LKRNvKgdFiPlNk2JMzwpOajHilPRES6QC1pEkdBWh9WVdvICGppKhoKeT3zqywavjsAdVXLe6Q8ERHpAo1Jkzhp/Wc3sxPM7B0zW2pmVyfZXmxmc6PtC8xsXNy2a6L0d8xsemdlmtl9UfrrZnaHmSV8WiVmbW0jI6yGlh64JVTMwFHjAKhevbzHyhQRkTQlW4JDLWn9VqdBWnQj4Z8RFnCcCMwys4kJ2b4EbHT3vYGbgR9G+04k3D5lf+AE4Odmlt9JmfcB+wIHAqXARd06whxWVdvIcKuBAT23YvmIMeMB2FKlBW1FRHa6ZIvZqiWt30qnJW0KsNTdl7l7E/AgMCMhzwzg7uj5w8Bx0YKOM4AH3b3R3d8HlkblpSzT3Z/wCPASsFv3DjF3VdU2MIIaCob0XJA2tnwYVT6E1o0reqxMERFJQ1tbdO9OjUmTIJ0gbVcgfnXTyigtaR53bwGqCWsJpdq30zKjbs7zgD+mUcd+aW1tIyOtmqIeuG9nzIiBRaxhJAWbdZN1EZGdKtZStl2QVgyYWtL6oXSCNEuSlriCdqo8XU2P93PgOXf/a9JKmV1sZovMbFFVVVWyLDlvQ/VmymwLeYN6LkgzMzYWjqK0XgvaiojsVO1BWsKYNLNw1wG1pPU76QRplcDH4l7vBiQ2s7TnMbMCoAzY0MG+HZZpZtcB5cAVqSrl7nPcfZK7Tyov77nuvr6kvjp2t4GemzgAsKV0DEOb14LuZiMiOSzr7tgVC8ISW9IgjEtTS1q/k06QthCYYGbjzayIMBFgXkKeecAF0fMzgWejMWXzgJnR7M/xwATCOLOUZZrZRcB0YJa7t3Xv8HJba210Z4DBu/RouS2Dd2OA18OWDT1arohItnj5g4384A9vs6GuKdNV2SoWpCVOHIAwLq1ZQVp/02mQFo0xuwx4EngLeMjd3zCzG8zs1Cjb7cAIM1tKaP26Otr3DeAh4E3C2LJL3b01VZlRWb8ERgMvmtliM7u2h4415xTURUHaoJ4N0hi2JwANa9/t2XJFRLLEPz/cRG1jCw+8tIKmlixpD2iJtaQVbb+tsGTrduk30rrBurs/ATyRkHZt3PMG4KwU+94I3JhOmVG6bkp7iwQAACAASURBVPqehtY2p6RhXfgNDh7do2WX7DIB3oBNle+wy/hP9WjZIiKZVtfYwvvr6hhTVsJHm+p5+s01nHTQmExXq+PuTrWk9Uu640AftaGuiZG+MbwY2HMTBwDKP7YPbW7UrVrSo+WKiGSD55euo9Wdzx4whpLCPJ5fmiWTz5rVkibbUpDWR62tbWCUbaKpaBgUJPmD7oY9Rg9nJSNoW/9ej5YrIpIN5r9TRXFBHuNHDmTPkYP465J12TGJINUSHKCWtH5KQVofVVXbyCjbxKb84dy/YAX3L+i5xWfLSguptLGU1CzvsTJFRLLFu2tq2XVoKfl5xl6jBlG5sZ4P1m/JdLWgOapDytmdaknrbxSk9VFraxspt400lPTO8iPVpbsx9P+zd+bxbVTX4v8eSbYl74ntLE5C9pAEkjjgJCyFhi1hDxRatqZAS3m0wCtQeKW/boH36PLaBxRCgVAKhUITCFtKgdIQUsqWfd83J7HjeEu8r5Lu748ZO4ot27ItW3J8vp/PfDS6c+feMzPS0dG5955Tm9stbSuKokSSQ6U1pMZbIxBjMxIB+Pfu4kiKZNHoKQu6utOtnrQ+iBppvZRGT1q9J7zz0RqpTx5BkqnQMByKEoCI5IjIJnvl+eogx0VEnhCR3SKyUUROi4ScSus0+PwUlNeSGm8ZQmmJsQxJ9fDpriiYl9amJ82jnrQ+iBppvZTi8hoyKKPO3T1GmiN9DADVBbp4QFGacZ4xJssYkx3k2CVY8SDHArcDT/eoZEq7FJTX4jeQ6rEMIRHhK2PS+XxPCV5fhENxtJZxANST1kdRI62XUlVaSIz4qIlLD1ubow+8DqtfgNUvkOwrBaDkwPawta8ofYA5wEvG4ksgVUSiILaD0sihUsvQSYk/5q36yth0Kmq9bMwri5RYFupJU5qhRlovxVdmBbKtieueOWkD0lKtMByHNaCtogRggA9FZI2I3B7k+BDgYMD7XLtMiRIOlVqGTornmCF09ph0RODTXRGel9ZQC+K0tuaoJ61PokZab6XSSoBe000LB4YnOzhEGmgYDkUJ5GxjzGlYw5p3isi5zY5LkHNaxHYQkdtFZLWIrC4qioK5UH2IPNtIS/UcG1LsnxDLqZkpfLStIFJiWXhrLY+ZBPkYxXjAVwf+KMmOoPQIaqT1Qnx+Q0y1lVw9nMOdgbidcNg5GHf5/m5pX1F6I8aYQ/ZrIfAWML1ZlVxgWMD7ocChIO0sMMZkG2OyMzK654+WEpxDpTX0i48h1nX8z9/VU4ewIbeMLYciOOTZUG0ZY8FoLNck630KNdJ6IcWVdfS3sw3Uhnm4c8W+I01brnMYA+r2QTQEeVSUCCMiCSKS1LgPzAI2N6u2BPiWvcrzDKDMGJPfw6IqbXCotIbM1JaG0DWnDSXO5QhrzMkO01BrBa0NhkuNtL6IGmm9kEOlNQyQUmocific7m7rpzB+DPGmBlOq3jRFAQYCn4rIBmAl8HdjzAcicoeI3GHXeQ/YC+wGngO+HxlRldY4VFob1EhLiY/h8smZvLUujwORCmzbUG0FrQ1GY3mDLh7oS6iR1gvJL7NSQlV301BnIxXJJwNQum99t/ajKL0BY8xeY8wUezvFGPOIXf6MMeYZe98YY+40xow2xkwyxrSIpaZElkNlNWSmBDeE7r1oLH5juPGPX/LS5zk9Kxgcm5MWDPWk9UnUSOuFNHrS6rpp0UAj/ozxABzdt65b+1EURekJaht8VNR6yUiKC3p8aL94rp46lNyjNbz4eQ7ltQ09K2BDdevDnepJ65OokdYLOVRay8AeMNLS+qex3z8A/+Hm024URVF6HyVV9QCkJwY30gAmDUnh66cPJaekilmPfsIzy3twhXuDetKU43FFWgCl4xwurWKQHKGoodQKQNtNuGOc7HeNZFyZxkpTFKX3U1xRB1hGWqG9H4ypJ/Uj0e3ilRUH+OOne/nGtGH0TwiSBSDceGsgoZVpLOpJ65OoJ60XUnP0EDF4qYtJ7fa+ypLHklGfq4pBUZReT3GlZZilJbZvcI0dkMStZ42gtLqB2/68ioaeSBnVUGMFrQ2GetL6JGqk9UIcZVZA87qYlO7vbOCpOPFTl7+1+/tSFEXpRkoq2x/uDGR4WgLXnD6UtQdKueMva7o/PEdDLcTEBz8Wa5fXV3avDEpUoUZaL6Pe6yeh1gq7VN8DRlrKiCkAFOxa0+19KYqidCdFtiettYUDwZgyNJUpQ1P4eHshheXd7MVqKwSH29b3tRHOL6r0KGqk9TIKymsZgpVfrieGO4ePOZUaE0vNwQ3d3peiKEp3UlxZR2KcC3fM8bkxX11xoGkLxmWTM3E5HHy0vbB7BWwrBIfb1vdqpPUp1EjrZRwqrWGIFNEQm4rf2f0TWYelJbGdEXiK1EhTFKV3U1xZH9J8tOYkxrk4a0wam/LK2HqovBskw8rJ2VDTxnBngpV4XY20PoUaab2M/LJahkgxvuShPdKfwyEcSJjE4Kpt4G19NZSiKEq0U1JZF/J8tOacMyaDWKeDP3dXkNu6MsAc85g1R8Qa8lQjrU+hRlovI6+0hiFSjKv/ST3WZ93gbGLw0nBwbY/1qSiKEm6KK+tI74QnDcAT62TKsBSWbDhEWU03BLmtKbU7amMaizvlWD2lT6BGWi8jv7SaoY5iXP2Gd3tfow+8DqtfIN1jfUwKtn7S7X0qiqJ0F8WV9Z32pAFMH5FGTYOPt9bmhlEqm5qj1mtrnjRQT1ofJCQjTUQuFpEdIrJbRB4McjxORBbZx1eIyIiAYz+2y3eIyOz22hSRu+wyIyLdm5yyF1JSVEA8dZDac560SYPc5PgH0pDzRY/1qSiKEk68Pj9Hq+tJ64KRNqSfh4mDk3lr/aEwSmZT2+hJ69d6HU+qGml9jHaNNBFxAk8BlwATgRtEZGKzat8BjhpjxgCPAb+xz50IXA+cAlwM/EFEnO20+RlwIbC/i9d2QlJXkmPtpA7rsT4z3IYdzjH0P7IejOmxfhVFUcLFkep6jIGMTg53NjKsn4cNB0t56uPdYZLMJtThTjXS+hSheNKmA7uNMXuNMfXAQmBOszpzgD/b+4uBC0RE7PKFxpg6Y8w+YLfdXqttGmPWGWNyunhdJyR1Xh+xlXnWm5SeM9IAKhNHkeI7ijma06P9KoqihIPiio4Fsm2NU4dY8co254XZWGr0pLU73Klz0voSoRhpQ4CDAe9z7bKgdYwxXqAMSGvj3FDaVJpx8Eg1mXaMtJ4c7gRIGGDNgSvcsrxH+1UURQkHjSmh0jsQyDYYaYlxZKa4w2+kqSdNCUIoRpoEKWs+5tVanY6Wh4yI3C4iq0VkdVFRUUdO7bXsLaqywm+44tuet9ANjMnMoNgkU7Ptnz3ar6IoSjhoytsZhkTppw5J4eDRGnKPVne5rSZqjoIzrvVgtmAZad5aK32U0icIxUjLBQLH1oYCzWdNNtUREReQAhxp49xQ2mwTY8wCY0y2MSY7IyOjI6f2WnJKqhgqRdZQpwSzc7uP0cmGLx1TSS/4FPy+Hu1bURSlqzTl7eyiJw1gkj3k+f6mw11uq4na0vb/fDcOhdZ1U0BdJeoIxUhbBYwVkZEiEou1EGBJszpLgJvt/WuBZcYYY5dfb6/+HAmMBVaG2KbSjH3F1Yx15uPMGNvjfYvAkcyZJPrK8B5c1eP9K4qidIXiyjpiXQ6S4lxdbqtxyPPvm/LDIJlNTWnbQ52gqaH6IO0aafYcs7uAfwDbgNeMMVtE5GERudKu9jyQJiK7gfuAB+1ztwCvAVuBD4A7jTG+1toEEJH/FJFcLO/aRhH5Y/gut3dzsKiU4eRDxskR6X/g1EvxGgcFq9WeVvoeIjJMRD4WkW0iskVEfhCkzkwRKROR9fb280jIqrSkqLKOjMQ4JEyjEKcOSWH9wdLwDXnWlra9aACOJVnXgLZ9hpD+Uhhj3gPea1b284D9WuDrrZz7CPBIKG3a5U8AT4QiV1/DW7wHJ37IGN9jfa7Yd6RpP29wHGvNOE7a80/glz0mg6JECV7gh8aYtSKSBKwRkX8aY7Y2q/dvY8zlEZBPaYPO5u1sjclDU/lwawF/25DP92aO7nqDNaWQnNl2nUYjTT1pfQbNONBLqKn3kVq1z3qTPi4iMrhjnGx0T2dQ9U4o74ZgjooSxRhj8o0xa+39CqxRAF2V3kvoSt7OYPRPiCVrWCpLNoRJF9aE4ElrHA7VMBx9BjXSegk5JVWMFTsVSXrPz0lrJD/zAgBKViyMmAyKEmnsrCpTgRVBDp8pIhtE5H0ROaWV8/vc6vRI05W8na1x5ZRMtuWXs7uwouuNhbRwQD1pfQ010noJOcVVjHEcoj5xGMQmREyO/iedyjr/GFj/F80+oPRJRCQReAO4xxjTfJndWmC4MWYK8CTwdrA2+uLq9Eji9xtKupi3MxiXTx6MQ2BJV9NE+X3Wis12Fw6okdbXUCOtl7CzoJIxkodjQGQWDTTSLyGW1amXkFa1B3/e+ojKoig9jYjEYBlorxhj3mx+3BhTboyptPffA2I0B3HkKatpwOs3XcrbGYyl2woZkZ7AKysOYLryp7XR6GpvuNPlBmesDnf2IdRI6yVsyTvCGEc+roE9t2igNTK/chN1JoaCT56PtCiK0mPYqe6eB7YZYx5tpc4gux4iMh1Lx5b0nJRKMEqq7GwDYR7uBJgyNJWSqno2dSUDQc1R67U9T5qIZh3oY6iR1ksoydtNHPURC78RyAVTx7FMppO8+22or4q0OIrSU5wNzAXODwixcamI3CEid9h1rgU2i8gGrFXq15suuViUcFBk5+3MCLMnDeDUzBScIry1Lq/zjdSEkLezEXeqGml9iK5H9VO6neLKOlIq90IskB45I230gdcBcDv7k59xDglFn1H56TMknv/DiMmkKD2FMeZTgqe0C6wzH5jfMxIpoRKuvJ3B8MQ6mZiZzBtrcvmv2ePxxDo73khtiJ40UE9aH0M9ab2ATXlljBX7X1pGZMJvNGfmxCF84puEfP4E1FVGWhxFUZRWKaxoHO4Mv5EGcMaoNMprvbyzvpPetKbk6iHkZHanaDDbPoQaab2ALXllZDl2408Z3uOJ1VtjVJKPLQMuJ8FbSuknT0daHEVRlFbJO1pDfKyTfvEx3dL+iLR4BiW7eXzprs4tIKjtyHBnyrE5bMoJjxppvYBNuaXMcO3CMfyMSItyHFdnDeZfJgv3F4/C0f2RFkdRFCUoeaXVDEn1hC0lVHNEhK+MTedweS3Lthd2vIFQFw6AFSezdD/UhykdlRLVqJHWCziau5P+phSGzYi0KMcxyONn+2m/oMFnOPrqt61YP4qiKFFG7tEahvTzdGsfU4am0i8+hvkf7+64N62yCGISwBXCcOygyWD8UNg8G5lyIqILB6KcI1X1DK3caC0aOCm6PGkAN1/6Vebv+B73Fz1KxfvzSLr0YWuZuKIoSpSQV1pD1rAQvFQBiN/L4OLPia89TIy3khhvJf3KtuN1uilPGEm1eyB7hn+jqb7TIZw7LoN31h/in1sLmHXKoNA7O7QWBk8Ore7gKdZr/noYmt2BK1J6I2qkRTlr9h8l27ETb0wirowJkRYHOD7p+h5fHtfc+kPemL+ea1Y9Qa0Y3Jf8txpqPcCrKw60KLtxxkkRkERRopeqOi+l1Q0M7RcfUv3RB14ntXwHIw5/QFzDsVWUfhwI/qblvbWx/YjzlrFvyJXUuAcCkD28P5vzyvj1+9s5b/wAYpwhDFY11MKh9XDm90O7oJSh4OkP+RtCq6/0atRIi3KW7yjkFudOHMOmgyP6RqdHH3idkc7+5Jz+NV5dJdy48klqC7fgvuJ3kDY60uL1eowxFJTXsbuwkn0lVRRV1FFWXY/PGPYUVZEQ6yTFE8uApDgGpbgjLa6iRB15pTUAIQ93JlYfYGzuYmriMtg/6GIqPZn4nHH4xVp0EOOtJLVyN+mlG8na+QSTd84nP+Mr7Bn2NfIyvspPLpvAt19czYJP9nLneWPa7zB/PfgbQp/OImJ509RI6xOokRbFGGNYvT2HRySXjc45bG7mOYkmE+i8TC9fnnk1v14xjLv2LcI3fzoydhaOU66CzCzoPxqc+nFrC2MMRRV1bMorY2NuWdNrY4wnD7WcIvsZG1PAYI4wkipi/PXU46ISD9tMGr/4dCCDBg/m7IGGSRd9s9smSitKbyH3qDXBfkhq+0aau66YcQdeoy4mhe3Dv4nX1dL71hCTRFG/qRT1m0pc3REySteTcXQdQ4o+ocIzlKQLfsicUyby+6W7uHDCQE4elNR2pwdXWK9Dp4d+UYMnwxd/AG89uMKfRUGJHvRXM4rZVVjJsIp1EAtF/aZGWpxWaRz+FCD+3Lt4cPdsphx8mat2fkHGzvcAMI4YJGkQjPgKpI2B9HHWljamdxlvxsCKZzENtTTU11Lr9VHnc1A/5mL8CH6nG5/Lg3F58DvdGBGMAYPB7we/MdR5fRytauBIdT1Hq+rJKalid2EluworKa1uACBRapkWX8DtngNMjt/HuJp19GsoRDg2IdnniMEvLvD7cZl661g11O12sXbnOP7vi9UkT7uO2TOmMDwtIVJ3TFEiSt5Ry5M2LARP2qm7n8Hpq2XryFuCGmjNqYvrT+7A88kdMJN+FTvJLP4U3r2Xx2KTGRU3h/teNrx610WkeNoI/XFwJfQfBYkZIV8Tg6dY3rei7aHPZVN6Jb3o17Hv8fH2Qi53foHf3Y+ifqdFWpyQSE+M4+7bL2HpttP50Zd7Kdy1hnFykPGOg5xydD9jyv7BQP7aVL+WOPa4RrM3Ziz748ZTkjIRf79RpCV6+N55o0Ob09EZ/H6oLoayg1CWZ0Xwrq+C+gq25ORDfSW+mjIctaUkm0piG8pwe8tJNBW47HkpsfYGwMpft+zCCDXEUkMcNSaOauKoJ44qE081idSaRLx4GO6KIzvBSby7mqHuQoZ595Nanw8+oBIanPFUejLJSz2ZKs9gamIzqI9JxjiOfX3F7yPWW0Z8bSExlXmMrtjDmd4XaVjxMh98MY0/DbiWr154BeeNH6jeNaVPkVtaQ6zT0W4g26SqHMYcXExh/9OpjUvvWCfi4GjyeI4mnUxy1T4yiz/jB/Uvc0vlm3z01JVcfPOPic8Y3vI8YywjbfT5HetvcJb1uvUdNdJOcNRIi2I+33aAZ51rcJxyI35H9wRhDDejD7zOygOQDPxHElROdrC7aiR+z2l8VONgcb0Dv7cWZ3keg/2HGS4FjPPt5kLv+3hq3oFSKM/xsNk/kj8tH0VewkSqM6aQMnAkIzMSGZWewKiMRAYmx7U0Nrz1UFUIlfZWXWLFHwrcqoqgPM8yzHx1Qa9hHE6qjJtKPJSaRPIkkXrnYLwxYzAx8VR4XXgdcXgdcYjDRazDhws/DgwxNBBj6ogxDcSY+qYt1tTjMvX0N/UM9pfiMYdw+2tw+Wtx4Mdf5cDrSqDKM4jSlCwqfCdTEzeAKvdg6mOS212IYRxO6mL7UxfbH5LHAxeQX1dMUvE6LixbzxUlX7Ltr0/wy4TrmXDhXK7IGtp9BrCiRBH7i6sZ2s+Dw9H2d2jyzifxOWLJyzin852JUJ44ivLEUSTU5BF7aCVXVSzE8dRfaeg3mpjEdIiJh7hESB1uGWhVhTDy3I71038UnPI1+PfvrLAd42ZbZXHtDK0qvQ410qKUooo6+uUuxe2qg0lfZ/Sq1yMtUqdIdPnJSqkCqgLcTsBgJzCEPSfdw1Zgm99LUuVeRu5+GVdVPiNr85jhfR9n3buQC0cPJrHfDOCw6c9nuIkVP/2cNaRKNf1MKamUk2CCB3f0I9Q5E6iRBEr8CeSbNA6ak9nny2CfL4N8k0aZSaDe4WZQogtXymAGpbgZlOxmUIqbKQVv4w7Q7x1Rg157q2mrUmNMpTB7uGrj0qkdchElg2eSWrqZAYUr+EnN/7LjnVeZt+QK6k/5BpOHpTH3zCD/8BXlBGFTXhmnDW87U0ta6SaGH/6QTWO+h9eVGJZ+qzxDqBp9Na8UX8zhvINMLdnF2JpyBsYW4PbXwI4PIDYeJn0dptzQekOrXzj+ffatlq742gLw1cPHj1gbQGyiZajFJYM72Wp75FdhwPiwXJPS86iRFqW89EUOV8hneBMzcZ10Jqz6MtIidQuNSdsbqUyfDOmTKQUO+r3E1xaQWHMIT20BQ+pKGWxKcHmr8Bon5cRTZuLZ5h9Kvi+VQpNKMSkUmVSKTQolJFFqkqjEjcGBSwwpLi/9Yr30i/HSP8bLwNgGTnPXM8RdzoC4EpwCYGdPqAMKaSeldhjo5uFHvyOGI/2ncqTfFI6UbSWj4DMe8T7Nrs1LeGH7N3jH/W0unzIMZzueBkXpbRRX1pFXWsMtZ41ovZIxZO14jNrY/mwbeTPDD70XVhnGpXvolzSRN4/O4v28OAzCoLh6spIqODmxhusz3AzuyMr9QKNt9PmQMR6qiq3pG9UlUFdhbUX58P5/WfUGngoz7oAp14Ozd4zKKBZqpEUh1fVePvxiDfc4N+KcfGdUht7oCYzDRVX8EKrihzSV7Tnp6y3qjT7wOh4/zByUTq1PqPMJdT7Lg7avoIB4pw+P00+800+ftkPEwZHUUzmScgr9yraSUryGX9Y9xu63FvG/H97AlEu+zcWnDml3WEhRegsbc62cmJOHprRaZ2jBMgYeWcXqCQ/idXXPApuMOC9/OLOcg1UOPs6P4829wsdH+vFBcRq/z4Ehy5cwLb2B09MamJZez7hkguoqY6C8QSiocVBQ6+BInYN41yiSY0ZyUqaPwfH+40+oOQqHN8PBL2HJXfDpYzDnKRh+ZrdcpxJ+1EiLQhavyeX73peRWBdMuy3S4kQVzT1vjbgccKiwuEX58NDiV/YtRDiaegqrJ/2coYf/SdbeZ/hx+f+xZ/GrPPrB9WTNvpkLJo/QBQZKr2fDwTIcAqcOCW6kxdUf5cyNP6HKPQg/zlb1SzhoXAV/shN+PBZ8BvZXx7G9Mp7tlR6WH4rn7QNWrMMkl58BHj+psX6cAlVeobzBQWGNgzp/69/LwR4fU/s3MCOjgRkZ9YxL7odj5DnWqvrCrbDrQ3jhEjjje3D+z6zhViWqUSMtyjhaVc9nH73Ls87PMWc/AP10vpDSPYw++AYA24beQGr5NpKL1nJ/9WNUvPkM779zBoeHX0ns2Jl886xREZZUUTpHUc5m5iV/SMKCX0CMx4rWf+nvIGUIsfVlnLnhxzj9NewZ8k2Mw9mjsjkFRiXUMSqhjksHHsUYKKiPYUelhz1VHsq8TirrnfiMEO/00S/Oz5REa5pGP3tLcvmo9wuVPid5tXHsqnSzsiie9/IsY69frJ8p/RsY6PZjOANnTBYXxr3BBV/+gQNfvMHPHXex1zOJyUNTGDsgiekj+zP1pFTcMT17L5TWkQ4ngo1CsrOzzerVqyMtRpfx+w13/WkZPzj4A0Ymeon9wRqItdzvK17/vwhLp5zo7Bl2DenFq0jZ/RYTS5eRRA1HSKJo0FcZOuNrJEy4yJqMHAWIyBpjzAmRuPBE0V9RRdEOvB//BsfWNwFwJA8Bf72VyFwckDaG2vIiYhvK2T9oFoX9T4iPUhOFdTFsq/SwpSKe/dVuqkwMDsDr85Po8nGOczP/6fsz6eYI78dcwEuur7OyNAljrByko9ITGDcwiQdmn8yIdI2x2B2EqsNCMtJE5GLg94AT+KMx5tfNjscBLwGnAyXAdcaYHPvYj4HvYEV9+k9jzD/aalNERgILgf7AWmCuMaa+LflOBCXX4PPz2JIvuXTd95jgzMN500IYc2HTcTXSlJ7E+LwcKTiAu3QXp/k3kypVeHFRPmgGqVlX4jj5koh6eSNlpHVFF7bGiaC/ogJvPez7BNa8ANv/ToPE8seGWZw5/SyyMu1AttUl1orIwq3kllSwceydpJVuiqzcEcLhq2do4ccMPLoaMX5y085mdfw5/Lt+LP8uTqaoyvrZHZmewHknD2DmyRlknZRKslsXHoSDsBlpIuIEdgIXAbnAKuAGY8zWgDrfByYbY+4QkeuBq40x14nIROCvwHQgE1gKjLNPC9qmiLwGvGmMWSgizwAbjDFPtyVjb1Zyxhg27D3Eyree5KqKv9LfUY3zxleRsRcdV0+NNCVSJKWm8fn2PFxFmzmHdYx25ANQ6c4kduo3iB13IQw5vUfnt0TCSOuKLmyr3d6svyJKfZUVcT9vLexZZhlo9ZUQn4YZfBpfP3AVtc5E/nbB0eMXUGffCsCrdpq97pyH1huIaShn4JFVpFbuJqG2AICa2P4cSs5ig4xnWfVolh4dQK3fGgIdkuphRHo8qZ5Ykj0xJMY5SYhzkRjnIiHORXysk4RY6zU+zkWcy9GUdaXR3Ih1OUj1xJAaH0usq28ujAtVh4UyJ206sNsYs9dueCEwB9gaUGcOMM/eXwzMF2vW8RxgoTGmDtgnIrvt9gjWpohsA84HbrTr/Nlut00jLRIYv5+Ghnq8DbV46+tpaKjF19CAt74Ov7ceX0MdPvvV7623twb83jp8lUX4Sg/hK83FXZ7DRN8OssRHSXo2rqv/F4aeHunLU5QmKkpLmDTITcOAabxbdh6FlV6Sj27iq9XryP78CfjicXw4OZJ8MnWDsnEPHEdcxkg8A0bhSh0CsUknygrlTutCcyLMKwk3xlherbpKqCuHhhowfsAcix2IAb8XKgrsINS5ULTDmgRfuv9YW/FpVuT9jAnUp03gh2v7s7rCze+nl7WMcGOHsBh94EhPXGXU0xCTTO7AC8gdcD7u+mKSqg6SVH2AIWVrGd2wjK8B/jgnxXEnUSjp1LpSOFwST5Evkdy6eAp88RT5kygzCdQRgw8HXpz4jBPB4JZ63Nib1OOhjli8eHHSgMtKGeiKwxUbR2ZaMinxblLiXfT3xOKJdYI48Lk8eJ3x+GIScMS4cTqdxDoFT6yLTkGcxgAAIABJREFUhFgn8bEuEuKOvXpinMctfDLG4DfHXv1Bvo6BRSYg/Z4gxLkcEVv1HoqRNgQ4GPA+F5jRWh1jjFdEyoA0u/zLZuc2xlMI1mYaUGqM8Qap32Xe35TPE8t2c3ntu1xc9wEODIIfMdarAz+CwWGsV8GPk4B94ycGr7WJ7/i0QB3Eb4QSUihzpbEn/QKGjzqZtAGj4PBGOLyxaSWQokQLMQ7DGf0qoB80DBnLlqrJvFMKzspDDPfmMKl0F5PLFhG/s2Umhyrc1IgHLzHWt0kcGBz47G9hkieWtEmz4OJfReDKQqYrurDl0uOO4q2D5y6w3zQaMp157eHzrZvRsqwziAMSB0DiIBgwEZIGQ3KmZaTZP8qL9nj420E3D06qZM5JwbOKKEEQoTYug9q4DIr6W2kIYxoqSKo+SEJNHp76EkZ483DV7ibLV43LX2fFkAzX8sN6IL/9aj4jVOGmGjdVxk29rVPm+2bzum9m46XgEGkyysJBrNNBXIwDd4wTd4yDOJcTwfo019T7OFpdz7qfX0ScK7yLLkK5vcHMx+aX3Vqd1sqD/a1uq35LoURuB26331aKyI5g9YLxwbHddMKhPDtNGXAAWBcFsjShcrQkWmTpxXKUh1BnLdAyB2orRGJCXFd04fGVuqC/QiRaPiuNhFGeUqxR57b5nr11vzxhIZrkiSZZIKg8ZUGqbQJ+1wPitH5/3P/doXZC0mGhGGm5wLCA90OBQ63UyRURF5ACHGnn3GDlxUCqiLhsb1qwvgAwxiwAFoQgf6uIyOpoWSEWLbKoHC2JFllUjojTFV14HOHQX20Rbc9I5WmbaJInmmQBlSeUiSKrgLEiMlJEYoHrgSXN6iwBbrb3rwWW2XMwlgDXi0icvWpzLLCytTbtcz6228Bu853OX56iKErY6IouVBRF6TDtetLseRV3Af/AWnb+J2PMFhF5GFhtjFkCPA+8bC8MOIKlvLDrvYY1sdYL3GmM8QEEa9Pu8kfAQhH5H6xxwOfDd7mKoiidoyu6UFEUpTOENOXPGPMe8F6zsp8H7NcCLZMqWsceAR4JpU27fC/HVoB2N9023NAJokUWlaMl0SKLyhFhuqILe5hoe0YqT9tEkzzRJAv0cXlOiIwDiqIoiqIoJxonRPAiRVEURVGUE40+a6SJyMUiskNEdovIg93Q/jAR+VhEtonIFhH5gV0+T0TyRGS9vV0acM6PbXl2iMjscMkqIjkissnub7Vd1l9E/ikiu+zXfna5iMgTdl8bReS0gHZutuvvEpGbW+uvDTlODrju9SJSLiL39MQ9EZE/iUihiGwOKAvbPRCR0+17vNs+N2jkw1bk+K2IbLf7ektEUu3yESJSE3Bfnmmvv9auqQOyhO1ZiDXBfoUtyyKxJtsrYSLUZy0ivoDnuSSgPKzPJxR5RCRLRL4QSyduFJHrAo69KCL7AmTN6oQMbeoFsRaxLbKPrxCREQHHgn6+u0II8twnIlvte/GRiAwPOBb0uXWzPLeISFFAv7cFHOuS/u+kPI8FyLJTREoDjoX1/gTTh82Oi3TTb2ObGGP63IY16XcPMAorHu0GYGKY+xgMnGbvJ2EF9pmIFY38/iD1J9pyxAEjbfmc4ZAVyAHSm5X9L/Cgvf8g8Bt7/1Lgfax4T2cAK+zy/sBe+7Wfvd+vi8/gMFasmG6/J8C5wGnA5u64B1irls+0z3kfuKQDcswCXPb+bwLkGBFYr1k7Qftr7Zo6IEvYngXwGnC9vf8M8L2e+o73hS3UZw1UtlIe1ucTijxYaQHH2vuZWOFLU+33LwLXdqH/dvUC8H3gGXv/emCRvR/0893F+xGKPOcB8fb+9xrlaeu5dbM8twDzg5wbVv0fqjzN6t+NtVinu+5PC33Y7HiP/DY23/qqJ60pvYuxkrc3pncJG8aYfGPMWnu/AthG29kTmlJoGWP2AY0ptLpL1jlYabewX68KKH/JWHyJFbduMDAb+Kcx5ogx5ijwT+DiLvR/AbDHGLO/jTphuyfGmE9oGa8qLPfAPpZsjPnCWN/alwLaalcOY8yH5liWjS+x4m+1Sjv9tXZNIcnSBh16FiIiWCneFocii9IpQn7Wzemm59OuPMaYncaYXfb+IaAQyOhiv42EohcCZVwMXGDfi9Y+390qjzHmY2NMtf223e9+d8vTBuHW/52R5wasXODdQgj6sKd+G4+jrxppwdK7hC39VHNsl/pUYIVddJftLv1TwJBAazKFQ1YDfCgia8SKdA4w0BiTD5ZBCQzoATkCuZ7jv3A9fU8gfPdgiL3fVXkAvo31b62RkSKyTkT+JSLnBMjXWn+tXVNHCMez6NYUbwoQ+rN2i8hqEflSRBoNp+54Ph367InIdCwPyp6A4kfsz95jIhLXwf5D0QvHpe3CCl2fFuK5HaWjbX6H47/7wZ5bT8hzjf0MFotIY/DmiN4fexh4JLAsoDjc96c9euq38Tj6qpEWcvqpLnckkgi8AdxjjCnHShY/GsjCcvX/XzsyhUPWs40xpwGXAHeKyLltidyNclgdWHNfrgRet4sicU/aFLGD/YZFHhH5CVY8wVfsonzgJGPMVOA+4FURSQ5Xf60QrmfRY9+xExkRWSoim4NsHfGmn2SsCOk3Ao+LyGg6+XzCJE+jN/hl4FZjjN8u/jEwHpiGNXT0o460SfekMOwKHUlz+E0gG/htQHGw59bd8vwNGGGMmQws5ZjXMaL3B+tP/WJjx1m1Cff9aY+I6Lq+aqSFkt6ly4hIDJaB9oox5k0AY0yBMcZnK6bnOOZSb02mLstqDytgjCkE3rL7LLAVZaPCLOxuOQK4BFhrjCmw5erxe2ITrnuQy/HDFB2Wx55sejlwkz2EiT30UmLvr8HyOIxrp7/WrikkwvgsmlK8BZFRCRFjzIXGmFODbO8Q4rMO+P7vBZZjefU79XzCIY/9R+PvwE/tYaPGtvPtoaQ64AU6PtzYkbRdSOgpDDtLSG2KyIXAT4Ar7WsHWn1u3SqPMaYkQIbngNNDPbc75Amg+chLd9yf9uiJ38aWmDBOvOstG1YQ371Y7tPGCYunhLkPwZor9Hiz8sEB+/dizYMAOIXjJ67uxZpY2SVZgQQgKWD/c6zx8t9y/CTf/7X3L+P4yZErzbHJkfuwJkb2s/f7d/LeLMT6B92j94RmE/HDeQ+wUgadwbGJ/Jd2QI6LsbJyZDSrl4E9eRlrcm1ee/21dk0dkCVszwLLUxo4Mf37Pf1dP5G3UJ61/TmNs/fTgV0cW9gR1ucTojyxwEdYIwvNjw22XwV4HPh1B/tvVy8Ad3L8woHX7P2gn+8u3o9Q5JmK9edrbKjPrZvlCfz+Xw18ae+HTf93RB673slYi9+kO++P3dYIWl840O2/jUH7DVdDvW3DWqmx0/6C/KQb2v8KlstzI7De3i7FcvFvssuXNPtS/MSWZwcBqwO7IivWj/sGe9vSeD7WPIyP7A/3Rxz78RfgKbuvTUB2QFvfxppQu5sAI6uD8sQDJUBKQFm33xOsf2H5QAPWP5/vhPMeYA1VbLbPmR+oUEKQYzfWnIbGz0njj8g19jPbAKwFrmivv9auqQOyhO1Z2J+9lfb1vY6tVHULz9bG5zcb+KO9f5b9PDfYr9/prucTojzftD9v6wO2LPvYMlvGzcBfgMROyNDiswg8jOWlAnDb17rbvvZR7X2+u3hP2pNnKVAQcC+WtPfculmeX3FM53wMjA84t8v6v6Py2O/n0cxg7477Q3B9eAdwh328W38bW9s044CiKIqiKEoU0lfnpCmKoiiKokQ1aqQpiqIoiqJEIWqkKYqiKIqiRCFqpCmKoiiKokQhaqQpiqIoiqJEIWqkKYqiKIqiRCFqpCmKoiiKokQhaqQpiqIoiqJEIWqkKYqiKIqiRCFqpCmKoiiKokQhaqQpiqIoiqJEIWqkKYqiKIqiRCFqpCmKoiiKokQhaqQpUYmIfCYiU7upbRGRF0TkqIis7EI754jIjjDIEyci20VkQFfbUhQl/IjIf4jI420czxGRC+39/ycifww4drWIHBSRShGZKiIni8g6EakQkf/sgkzPiMjPOnt+QDtXisjCrrajdA9ijIm0DEoPICI5wEDAC/iArcBLwAJjjL+Tbc4E/mKMGRomMRvbvQK40xhzcTjbDWj/HOCvwMnGmKru6KOjiMh/AQONMT+MtCyKcqLSGT0oIrHAHuAMY0xeG+3eZoxZGuTYHuA+Y8w79vvngXJjzL1dvqAwISKbgRuNMRsjLYtyPOpJ61tcYYxJAoYDvwZ+BDwfKWFExNXKoTuAl7uxz+FATrQYaDavAjeLSFykBVGUE5yO6sE5wPbWDLQQGA5saeN9NPBX4PZIC6G0RI20PogxpswYswS4DsswOLWt+iJyqYhstd3zeSJyv4gkAO8DmbYbv1JEMkVkuoh8ISKlIpIvIvPtf6KNbRkRuVNEdgG7gvQVC5wP/CugbJ6ILBaRRbYMa0VkSsDxTBF5Q0SKRGRf4BBCwLl/EZFy4DvAH4EzbZkfEpFbROTTZnIYERnT2vXb5TNFJDfgnAkisty+9i0icmXAsRdF5CkR+bvdzgoRGR3wTHKBo8AZbT0LRVHCQwf04CUE6CMAEZkrIvtFpEREftLs2Dxb38SJSCXgBDaIyB4RWQacB8y39c84W2fcFnB+kz6yp2Y8JiKFIlImIhsb5bR1yv8EnPddEdktIkdEZImIZAYcMyJyh4jsEmuax1MiIgFiLwcu6/BNVLodNdL6MMaYlUAucE47VZ8H/sP+93kqsMz2Ql0CHDLGJNrbIawhhHuBdOBM4ALg+83auwqYAUwM0tdYwG8bLYHMAV4H+mN5nd4WkRgRcQB/AzYAQ+z+7hGR2c3OXQykYg1t3AF8Ycv8i3auPej1N68gIjG2HB8CA4C7gVdE5OSAajcADwH9gN3AI82a2QZMQVGUHiMEPTgJaJp7KiITgaeBuUAmkAa0mPJhjKkzxiTab6cYY0YbY84H/g3cZeufne2INws4FxiHpb+uA0qaVxKR84FfAd8ABgP7gebzzC4HpmHpmG8AgTpyGzBCRJLbkUfpYdRIUw5hGT5t0QBMFJFkY8xRY8za1ioaY9YYY740xniNMTnAs8BXm1X7lTHmiDGmJkgTqUBFkPI1xpjFxpgG4FHAjeV1mgZkGGMeNsbUG2P2As8B1wec+4Ux5m1jjL+VPtsjlOs/A0gEfm3LsQx4F8swa+RNY8xKY4wXeAXIatZGBdb1K4rSs7SlB5vrpGuBd40xnxhj6oCfAZ2a1xsCDUASMB5rDvk2Y0x+kHo3AX8yxqy1Zfox1mjBiIA6vzbGlBpjDgAfc7z+abw+1T9RhhppyhDgSDt1rgEuBfaLyL9E5MzWKtru+3dF5LA9vPhLLK9aIAfb6OsollJqTtM59gTfXKx/scOxhlxLGzfg/2FNDg6lv1AI5fozgYPNJh/vx7q/jRwO2K/GMuoCSQJKuyiroigdpy092FwnZXK8PqoiiHcrHNh/9uYDTwEFIrKgFW9XJpa+aTyv0pYpVP3TeH2qf6IMNdL6MCIyDetL/Glb9Ywxq4wxc7CG8d4GXms8FKT608B2YKwxJhnLYJJmddpaUrzLEk2GNCsfFiC3A2t44RCWstxnjEkN2JKMMZeG2B9AFRAf0P6g44Rt/foDOQQMs2Vr5CSgI5ONJ2AN2yqK0kOEoAc3Yg03NpLP8fooHmvIs7Mcp3+A5vrnCWPM6cApthwPBGnjENYf1kaZEmyZQtU/E7AWU5V3QG6lB1AjrQ8iIskicjnWnIW/GGM2tVE3VkRuEpEUe6ixHGveGUABkCYiKQGnJNl1KkVkPPC9jshm97GUlkOkp4vI18RanXkPUAd8CawEykXkRyLiERGniJxqK95Q2QCcIiJZIuIG5jUeaOf6A1mBpWz/y54rNxO4gpbzQoJiG6X97WtSFKWb6YAefI/j9dFi4HIR+YpYC50epmu/peuBr4lIvL1Y6TsBMk4TkRn2nNcqoJbg+udV4FZbh8VhjWCssKechMJXsRaCKVGGGml9i7+JSAWW9+knWHO7bg3hvLlAjj18eQfwTQBjzHaspdt77aHGTOB+4EasOQ7PAYs6Ieezdp+BvIM1afaofexrxpgGY4wPyxjKAvYBxVirN1MIEXvy7sNYxuEuWv6jDnr9zdqoB67EWkxRDPwB+JZ9j0LhRuDP9nwSRVG6j47qwb8B4xtXSxpjtgB3YhlG+Vg6qflCp47wGFCP9af3z1jzVRtJxtKjR7GGM0uA3zVvwBjzEdbcuDdsmUZz/Lzc9rgBS+8qUYYGs1WiEnsJ+t3GmHUiMg8YY4xpYRydCNj/fDcA5xpjCiMtj6IoxyMitwMTjTH3RFqWcCNW8PC5xphvRFoWpSVqpClRz4lupCmKoihKMLo03CkiF4vIDjuA3oNBjseJFYB0t1jBO0cEHPuxXb4jMKaVWDnQNonIehFZ3RX5lNARK/hqZZDtpkjLpiiKoih9kU570kTECewELsIaj18F3GCM2RpQ5/vAZGPMHSJyPXC1MeY6OxjgX4HpWEuHlwLjjDE+sXKgZRtjirtwXYqiKIqiKL2arnjSpgO7jTF77UnTC7EiuwcyB2siJFgrYi6wU1HMARbaEZn3YUVfn94FWRRFURRFUU4oWktwHQpDOD5IaC5Wqp+gdYwxXhEpw4rdMoTjQw3kcizongE+FBEDPGuMWRCsc3si5+0ACQkJp48fPz5kwXcUWMGVMxKtXNb9E2Lbqq4oSpSxZs2aYmNMRqTlCAfp6elmxIgRkRZDUZQeJFQd1hUjrXmAUmgZNLS1Om2de7Yx5pCIDAD+KSLbjTGftKhsGW8LALKzs83q1aFPXzvvd8sB+O45owC4ccZJIZ+rKErkEZH97dfqHYwYMYKO6C9FUXo/oeqwrgx35hIQdZljEeCD1rGDkKZgpd5o9Vw7STd2KIK30GFQRVEURVH6IF0x0lYBY0VkpB11+XpgSbM6S4Cb7f1rgWXGWqmwBLjeXv05EhgLrBSRBBFJgqa0FrOAzV2QUVEURVEUpVfS6eFOe47ZXcA/ACfwJ2PMFhF5GFhtjFkCPA+8LCK7sTxo19vnbhGR14CtgBe4017ZORB4y1pbgAt41RjzQReuT1EURVEUpVfSlTlpGGPew8prFlj284D9WuDrrZz7CPBIs7K9wJSuyKScWDQ0NJCbm0ttbW2kRVEigNvtZujQocTExERaFEXpFKrD+jZd1WFdMtIUpbvJzc0lKSmJESNGYHtYlT6CMYaSkhJyc3MZOXJkpMVRlE6hOqzvEg4dpgnWlaimtraWtLQ0VW59EBEhLS1NPRBKr0Z1WN8lHDpMjTQl6lHl1nfRZ6+cCOjnuO/S1WevRpqiKIqiKEoUonPSFKUdnE4nkyZNoqGhAZfLxc0338w999yDwxH6f5yf//znnHvuuVx44YVdkmXevHk899xzZGRkUFVVxaRJk/if//kfJk6c2Oo5b7/9NuPGjWuzTijMnDmT/Px8PB4PAD/96U+59tprOeuss/j888+71DbALbfcwuWXX861117b5bYUJVp5dcWBsLYXSjB21WEWvVGHqZGmKO3g8XhYv349AIWFhdx4442UlZXx0EMPhdzGww8/HDZ57r33Xu6//34AFi1axPnnn8+mTZvIyAieYeTtt9/m8ssv75CC83q9uFwt1cMrr7xCdnb2cWXhUG5K7yXQ6NDsLdGJ6rBj9DYdpsOditIBBgwYwIIFC5g/fz7GGF588UWuuuoqrrjiCkaOHMn8+fN59NFHmTp1KmeccQZHjhwBrH9YixcvBqw0QD/60Y+YPn0606dPZ/fu3VRUVDBy5EgaGhoAKC8vZ8SIEU3vW+O6665j1qxZvPrqqwA8+OCDTJw4kcmTJ3P//ffz+eefs2TJEh544AGysrLYs2cPzz33HNOmTWPKlClcc801VFdXN8l43333cd555/GjH/0o5HuSmJgIwFtvvcWFF16IMYb8/HzGjRvH4cOH8fl8PPDAA0ybNo3Jkyfz7LPPAtbKp7vuuouJEydy2WWXUVhY2IEnoShKZ1Ad1pJo1mHqSVN6DQ/9bQtbD5WHtc2Jmcn84opTOnTOqFGj8Pv9TV/IzZs3s27dOmpraxkzZgy/+c1vWLduHffeey8vvfQS99xzT4s2kpOTWblyZdPxd999l5kzZ/L3v/+dq666ioULF3LNNdeEFFvntNNOY/v27Rw5coS33nqL7du3IyKUlpaSmprKlVdeeZwLPjU1le9+97uA5e5//vnnufvuuwHYuXMnS5cuxel0Bu3rpptuahoq+Oijj0hLS2s6dvXVV/PGG2/w1FNP8cEHH/DQQw8xaNAgFixYQEpKCqtWraKuro6zzz6bWbNmsW7dOnbs2MGmTZsoKChg4sSJfPvb3+7Ak1CijeZDeepZi05Uh/UeHaaeNEXpBFZ2M4vzzjuPpKQkMjIySElJ4YorrgBg0qRJ5OTkBD3/hhtuaHr94osvALjtttt44YUXAHjhhRe49dZbOyRLcnIybreb2267jTfffJP4+Pig9Tdv3sw555zDpEmTeOWVV9iyZUvTsa9//eutKjewhgrWr1/P+vXrj1NujTz55JP86le/Ii4urukaP/zwQ1566SWysrKYMWMGJSUl7Nq1i08++YQbbrgBp9NJZmYm559/fkjXqyhK11Ed1jt0mHrSlF5DRz1e3cXevXtxOp0MGDAAgLi4uKZjDoej6b3D4cDr9QZtI3BZduP+2WefTU5ODv/617/w+XyceuqpIcmzbt06srOzcblcrFy5ko8++oiFCxcyf/58li1b1qL+Lbfcwttvv82UKVN48cUXWb58edOxhISEpv3Zs2dTUFBAdnY2f/zjH0OSJS8vD4fDQUFBAX6/H4fDgTGGJ598ktmzZx9X97333tPQBIoSAVSHtU606TD1pClKBygqKuKOO+7grrvu6tKXc9GiRU2vZ555ZlP5t771LW644YaQ/4G+8cYbfPjhh9xwww1UVlZSVlbGpZdeyuOPP940UTgpKYmKioqmcyoqKhg8eDANDQ288sorrbb9j3/8g/Xr14es3LxeL7feeiuvvvoqEyZM4NFHHwUsRfn00083zU3ZuXMnVVVVnHvuuSxcuBCfz0d+fj4ff/xxSP0oitJ5VIe1TjTqMPWkKUo71NTUkJWV1bR8fe7cudx3331darOuro4ZM2bg9/v561//2lR+00038dOf/rTJzR6Mxx57jL/85S9UVVVx6qmnsmzZMjIyMsjPz2fOnDnU1tZijOGxxx4D4Prrr+e73/0uTzzxBIsXL+a///u/mTFjBsOHD2fSpEnHKb+u8Mtf/pJzzjmHc845h6ysLKZNm8Zll13GbbfdRk5ODqeddhrGGDIyMnj77be5+uqrWbZsGZMmTWLcuHF89atfDYscihLNRGKenuqw0IhGHSaB49K9lezsbLN69eqQ65/3u+UAfPecUYBObo1mtm3bxoQJEyItRlgZMWIEq1evJj09vcWxxYsX88477/Dyyy9HQLLoJNhnQETWGGOyWzmlV9FR/RVttBX3S3Wr6jClazpMPWmKEiXcfffdvP/++7z33nuRFkVRFKXDqA4LP2qkKUoP09pqqSeffLJnBVEURekEqsN6Dl04oCiKoiiKEoWokaYoiqIoihKFqJGmKIqiKIoShaiRpiiKoiiKEoXowgGlV9HWcv/OEEqIAKfTyaRJk5piDN18883cc889OBwOVq9ezUsvvcQTTzzRJTlycnKYMGECJ598MvX19WRnZ/P888+3m/fugQce4L333uPSSy/lt7/9bZdkUNpGRIYBLwGDAD+wwBjz+2Z1ZgLvAPvsojeNMQ/3pJxKlLP6hfC2l91+0FjVYb0XNdIUpR08Hk9T5OvCwkJuvPFGysrKeOihh8jOziY7OzzhukaPHs369evx+XxcdNFFvPbaa9x0001tnvPss89SVFR0XFqXtvB6vbhc+rXvJF7gh8aYtSKSBKwRkX8aY7Y2q/dvY8zlEZBPUYKiOqz3osOditIBBgwYwIIFC5g/fz7GGJYvX87ll1u/x/PmzWPu3Lmcf/75jB07lueeew6AuXPn8s477zS1cdNNN7FkyZJW+3A6nUyfPp28vDwAfD4fDzzwANOmTWPy5Mk8++yzAFx55ZVUVVUxY8YMFi1aRFFREddccw3Tpk1j2rRpfPbZZ01y3X777cyaNYtvfetbrba3fPlyZs6cybXXXsv48eO56aabmhIfr1q1irPOOospU6Ywffp0KioqWm3nRMUYk2+MWWvvVwDbgCGRlUpROobqsN6lw/qOOaooYWLUqFH4/X4KCwtbHNu4cSNffvklVVVVTJ06tSmlyGOPPcacOXMoKyvj888/589//nOr7dfW1rJixQp+/3trJO35558nJSWFVatWUVdXx9lnn82sWbNYsmQJiYmJTf+Qb7zxRu69916+8pWvcODAAWbPns22bdsAWLNmDZ9++ikej4cFCxYEbQ+sRMdbtmwhMzOTs88+m88++4zp06dz3XXXsWjRIqZNm0Z5eTkej6dVuUaOHBnuWx51iMgIYCqwIsjhM0VkA3AIuN8Ys6UHRVOUdlEd1nt0mBppitIJWkunNmfOHDweDx6Ph/POO4+VK1dy1VVXceedd1JYWMibb77JNddcE9Rdv2fPHrKysti1axfXXnstkydPBuDDDz9k48aNLF68GICysjJ27drVQpEsXbqUrVuPjbyVl5c35bS78sor8Xg8bbYXGxvL9OnTGTp0KABZWVnk5OSQkpLC4MGDmTZtGgDJyckdkutEQ0QSgTeAe4wx5c0OrwWGG2MqReRS4G1gbJA2bgduBzjpJE2dpPQ8qsN6hw5TI01ROsjevXtxOp0MGDCg6V9eIyIS9P3cuXN55ZVXWLhwIX/605+Ctts4nyM/P5+ZM2eyZMndiDH9AAAgAElEQVQSrrzySowxPPnkk8yePbtNufx+P1988UWTIgskISGhab+19pYvX37cvBCn04nX68UY0+K62mrnREZEYrAMtFeMMW82Px5otBlj3hORP4hIujGmuFm9BcACsHJ3drPYEaP5Qh/N5RkdqA5ru51oQuekKUoHKCoq4o477uCuu+4K+qV/5513qK2tpaSkhOXLlzf9c7vlllt4/PHHATjllFPa7GPw4MH8+te/5le/+hUAs2fP5umnn6ahoQGAnTt3UlVV1eK8WbNmMX/+/Kb3jUMIzQm1vUbGjx/PoUOHWLVqFQAVFRV4vd4Ot9PbEeuBPw9sM8Y82kqdQXY9RGQ6lo4t6TkpFaVtVIf1Lh2mnjSlVxGJf+I1NTVkZWU1LV+fO3cu9913X9C606dP57LLLuPAgQP87Gc/IzMzE4CBAwcyYcIErrrqqpD6vOqqq5g3bx7//ve/ue2228jJyeG0007DGENGRgZvv/12i3OeeOIJ7rzzTiZPnozX6+Xcc8/lmWeeaVEv1PYaiY2NZdGiRdx9993U1NTg8XhYunRph9s5ATgbmAtsEpHGX4//B5wEYIx5BrgW+J6IeIEa4HrT2riS0jcJIWRGuFEd1nt1mJwI+iM7O9usXr065Prn/W45AN89ZxSgLvhoZtu2bUyYMCHSYoTEvHnzSExM5P77729xrLq6mkmTJrF27VpSUlIiIF3vJdhnQETWGGPCEzcgwnRUf0UbHYld2Bd1reowpSs6TIc7FaWbWbp0KePHj+fuu+9W5aYoSq9DdVjk0OFORQkT8+bNC1p+4YUXcuBAeDMlKIqihBvVYdGHetKUqOdEGJJXOoc++97JugNH+XR3cfsV+wj6Oe67dPXZq5GmRDVut5uSkhJVcn0QYwwlJSW43e5Ii6J0AL8x/GPLYT7aVoBfv7eqw/ow4dBhOtypRDVDhw4lNzeXoqKiSIuiRAC3290UmFLpHewvqaa81gtAflktQ1JbxrzqS6gO69t0VYepkaZENTExMVEV/VlRlLbZmFuK0yH4/Iac4qo+b6SpDlO6gg53KoqiKGHB5zdszitj4uBk+ifEsq84ugKDKkpvo0tGmohcLCI7RGS3iDwY5HiciCyyj6+wkxI3HvuxXb5DRGY3O88pIutE5N2uyKcoiqL0HAeOVFNV72PSkBRGpCWQU1Klc7EUpQt02kgT+f/s3Xl8lOW5+P/PPftkmSRkAxKQfV8CIiAoivtWsLVWrEvVWk/P0Wr1HFs9fbnUVr/trz3VcrS12mqtVUBxw5bT1l0RBIIEBGQJe1hCEsie2e/fH8/MkGUmM8kkAZzr/XrlNTPPcz/P3Ak6uXLdy6XMwFPApcA44Fql1Lh2zb4LHNNajwAeB34ZunYcsAAYD1wC/C50v7C7gC8RQghxyqhp9ABQlONkaF4azd4AVQ2eE9wrIU5dyWTSpgPlWutdWmsvsBiY367NfOCF0POlwPmhunbzgcVaa4/WejdQHrofSqli4HLgj0n0TQghRB+ra/GhAJfDypBcoyD23qPNJ7ZTQpzCkgnSioD9rV5XhI5FbaO19gN1QG6ca58AfgQEk+ibEEKIPlbX4iPDYcFsUmSn2VChY0KI7kkmSFNRjrWffBCrTdTjSqkrgCNa63Vx31yp25RSpUqpUlnaLIQQJ15di48spxUAs0nhtJlpDG3HIYToumSCtApgUKvXxcDBWG2UUhYgCzjaybWzgXlKqT0Yw6fnKaX+Gu3NtdbPaK2naa2n5efnJ/FtCCGE6Al1LT5cDmvkdYbdQqNHgjQhuiuZIG0tMFIpNVQpZcNYCLCsXZtlwHdCz78JvK+NpT7LgAWh1Z9DgZHAGq31/VrrYq31kND93tdaX59EH4UQQvSRevfxTBpAhkOCNCGS0e3NbLXWfqXUHcA/ATPwnNZ6s1LqEaBUa70M+BPwolKqHCODtiB07Wal1CvAFsAP3K61DiT5vQghhDhBPL4Abl+wbZBmt1BxrOUE9kqIU1tSFQe01suB5e2OPdjquRu4Osa1jwKPdnLvD4EPk+mfEEKIvlHnNhYIuFoFaZl2i8xJEyIJUnFACCFE0sKrONtn0ryBIF6/LNYXojskSBNCCJG0+mhBmsMYrJF5aUJ0jwRpQgghkhbOpLkcx2fRZNhDQZpb9koTojskSBNCCJG0uhY/6XYLFvPxXysZdiOr1uiRdWFCdIcEaUIIIZJW3+Ijy9l2LZoMdwqRHAnShBBCJM2oNmBrcyzdbgag0SPDnUJ0hwRpQgghklbv9pHpaJtJs5hMOK1myaQJ0U0SpAkhhEiK1hq3L0CazdzhXIbslSZEt0mQJoQQIikef5CgBqc1SpAmpaGE6DYJ0oQQQiSlxWus3oyZSZMgTYhukSBNCCFEUlp8RpAWNZMmQZoQ3SZBmhBCiKQ0hzJpTlvHctAZDgtuXxB/QEpDCdFVEqQJIYRISmeZtPCxcBshROIkSBNCCJGUlkgmrWOQ5ggFaW6fZNKE6CoJ0oQQIgFKqUFKqQ+UUl8qpTYrpe6K0kYppRYqpcqVUhuVUlNPRF/7WueZNOPXjFsyaUJ0WccJBEIIIaLxA/+ptf5cKZUJrFNKvaO13tKqzaXAyNDXDOD3ocevtBavH4tJYTWrDueOZ9IkSBOiqySTJoQQCdBaH9Jafx563gB8CRS1azYf+Is2fAZkK6UG9HFX+1yLL4DTakap2EGazEkTouskSBNCiC5SSg0BpgCr250qAva3el1Bx0DuK6fZG4g6Hw1kTpoQyZAgTQghukAplQG8BvxQa13f/nSUS3SUe9ymlCpVSpVWVVX1Rjf7VDiTFo1ThjuF6DYJ0oQQIkFKKStGgPaS1vr1KE0qgEGtXhcDB9s30lo/o7WeprWelp+f3zud7UMtnWTSrGaFSclwpxDdIUGaEEIkQBkTrv4EfKm1/k2MZsuAG0OrPGcCdVrrQ33WyROks0yaUgqH1SyZNCG6QVZ3CiFEYmYDNwBfKKXKQsf+GxgMoLV+GlgOXAaUA83AzSegn32uxRuIWrczzClBmhDdIkGaEEIkQGu9guhzzlq30cDtfdOjk0MgqPH4gzg6CdKMTJosHBCiq2S4UwghRLeF55qlxRjuBHBYTTInTYhukCBNCCFEt7k7KQkVJnPShOgeCdKEEEJ0W3OkJFTs2TMyJ02I7pE5aUIIIWIrfb7t62lt10J0Vlw9zGE1y3CnEN0gmTQhhBDd1uLzA/HmpJnxBTS+gCweEKIrJEgTQgjRbeFMWmerO51W41dNg9vfJ30S4qtCgjQhhBDddnxOWueZNID6Fl+f9EmIrwoJ0oQQQnSbxxfEalaYTbG3kIsEaW4J0oToCgnShBBCdJvHH8RuiZ1Fg9aZNBnuFKIrJEgTQgjRbR5/ALul818lTsmkCdEtsgWHEEKIxLXbksPjGx43SHNEFg5IkCZEV0gmTQghRLd5/EHsnSwagFaZNBnuFKJLJEgTQgjRbd4EhjttFhMKGe4UoquSCtKUUpcopbYppcqVUvdFOW9XSi0JnV+tlBrS6tz9oePblFIXh445lFJrlFIblFKblVI/TaZ/QgghepfHH8QWJ0hTSuGwmmULDiG6qNtBmlLKDDwFXAqMA65VSo1r1+y7wDGt9QjgceCXoWvHAQuA8cAlwO9C9/MA52mtJwMlwCVKqZnd7aMQQojelcjqTjDmpdXLZrZCdEkymbTpQLnWepfW2gssBua3azMfeCH0fClwvlJKhY4v1lp7tNa7gXJgujY0htpbQ186iT4KIYToRYms7gRjGw6pOCBE1yQTpBUB+1u9rggdi9pGa+0H6oDczq5VSpmVUmXAEeAdrfXqaG+ulLpNKVWqlCqtqqpK4tsQQgjRHQENvoBOKEizW8yyulOILkomSIu2vXT7rFesNjGv1VoHtNYlQDEwXSk1Idqba62f0VpP01pPy8/P70K3hRBC9IQmv/FRnlgmzUSjRzJpQnRFMkFaBTCo1eti4GCsNkopC5AFHE3kWq11LfAhxpw1IYQQJ5kmXzhIS2ROmlmCNCG6KJkgbS0wUik1VCllw1gIsKxdm2XAd0LPvwm8r7XWoeMLQqs/hwIjgTVKqXylVDaAUsoJXABsTaKPQgghekk4k2azJjLcaaJR5qQJ0SXdrjigtfYrpe4A/gmYgee01puVUo8ApVrrZcCfgBeVUuUYGbQFoWs3K6VeAbYAfuB2rXVAKTUAeCG00tMEvKK1/lsy36AQQoje0diF4U5jTpoEaUJ0RVJlobTWy4Hl7Y492Oq5G7g6xrWPAo+2O7YRmJJMn4QQQvSNxi4Nd5rwBoKh1aDx2wshpOKAEEKIbupSJi1UGkqGPIVInARpQgghEhPwwo5/gbsOgCa/8SskodWdlnCRdQnShEiUBGlCCCESs/2fsG05bH4daLW6M06BdTg+JCorPIVInARpQggh4qvbD7s+ALsLDm2AY7u7NNzpsEomTYiukiBNCCFEfJteB1sGnHWPEahteYsmH5gUWEzR9idvK5xtk6oDQiROgjQhhBCdC3jh2B4YPBOc2TDiAji2B6f7MDaLCaMkc+fCc9JkuFOIxEmQJoQQonP1BwENWcXG6/yxABQ2lye8nUZkdacEaUIkTII0IYQQnaurMB5doSAtPQ9sGQzy7EhoPhrI6k4hukOCNCGESIBS6jml1BGl1KYY589VStUppcpCXw9Ga3dKqj8A1jRw5hivlYJ+wxnuSzxIs5hN2MwmCdKE6AIJ0oQQIjF/Bi6J0+YTrXVJ6OuRPuhT36irAFeREZyF9RtGvq6myHws4dtkOiw0emThgBCJkiBNCCESoLX+GKMGcWoJBqDh0PH5aGH9hgEwRX+Z8K0yHBbJpAnRBRKkCSFEzzlTKbVBKfV/SqnxsRoppW5TSpUqpUqrqqr6sn9d11gJQb+RSWvNNZBmHEwKbkn4Vhl2i5SFEqILJEgTQoie8TlwmtZ6MvC/wJuxGmqtn9FaT9NaT8vPz++zDnZLfWjRQPtMmsnMBj2Csb7EM2mZDgsNsrpTiIRJkCaEED1Aa12vtW4MPV8OWJVSeSe4W8mrOwAmK2QUtDmsNWwMDKXYvw9TMLF5Zhl2qwx3CtEFEqQJIUQPUEr1V6FdXZVS0zE+X2tObK96QHO1seWGavvrwhOEzcHTsODH1bgroVvJwgEhusZyojsghBCnAqXUIuBcIE8pVQE8BFgBtNZPA98E/l0p5QdagAVaa32CuttzWo6Bs1+Hw01+xRY9GICchm3UukbHvVWmQ+akCdEVEqQJIUQCtNbXxjn/JPBkH3Wn77Qcg5xhHQ43+xW79QB8ykZ2/TYoinJtOxl2C40eP1rrhEpJCZHqZLhTCCFEdO568LUc38S2lSa/IoCZSsdQchq2JXS7DIcFX0Dj8Qd7uqdCfCVJkCaEECK6cDmoGEEawJG0kWTXbzdWEsSR6bACUhpKiERJkCaEECK6cJCW1jFIawkFadXpo3D4juH0xN/vLdNuzLCRIutCJEaCNCGEENHV7TMeHbEzaUczRwGQncCQZ0YoSGtwywpPIRIhQZoQQojo6ipAmcHh6nCqORSkhVd15tTHD9IyHeEgTTJpQiRCgjQhhBDR1e4HZ3aHPdIAmgOh1ZmOLBqdA8lu2B73dsfnpEkmTYhESJAmhBAiurqKqIsG4HgmzW42UZs5KqFMmstpZNLqWySTJkQiJEgTQggRXd3+uEGa1WLiWOZoMpv2YA64O71dOJNWL5k0IRIiQZoQQoiOAj5oONRpkOYwa0xKUesajYkgWY07O71lpt2CUlAvc9KESIgEaUIIITqqPwg6GDNIa/Ir0szG3mjHMo3FA9lxhjxNJkWGzSJz0oRIkARpQgghOopsZNuxbicYCwfSLEaQ1phWjM+cllDlAZfTKnPShEiQBGlCCCE6qj9gPDqzo55u9ivSQ0EaykRt5si4mTQwtuGQOWlCJEaCNCGEEB01VhqP9o57pIERpDktx0tB1WaOJqchfnkol8Mqw51CJEiCNOC/Xt3AvzYfPtHdEEKIk0djJVgcxlcU4Uza8H2vMnzfq1j8jdj8DaS5D3V6W5fTIsOdQiQo5YM0rTWvf17Byp01J7orQghx8mg8AhkFoFTU001+hdN8PGvW7CgE4lceyHRYafBIJk2IRFhOdAdONF9AE9TgDQRPdFeEEOLEK33eeDxYBkQP0ABaAq3mpAHN9kI0kFO/lQOFc2Ne53JIJk2IRKV8Js3jDwDg9UuQJoQQEZ56sGfGPN3kP766EyBotuGx9YtbHiozNCdNx5m7JoSQIA2PzwjOfJJJE0KI4zwNMRcNALS0C9LAGPKMtw2Hy2khqKHJG+iRbgrxVZZUkKaUukQptU0pVa6Uui/KebtSakno/Gql1JBW5+4PHd+mlLo4dGyQUuoDpdSXSqnNSqm7kulfItySSRNCiLaCAfA2xcykaW1k0tLbBWlN9kIym/dj8TfFvHWkNFSLzEsTIp5uB2lKKTPwFHApMA64Vik1rl2z7wLHtNYjgMeBX4auHQcsAMYDlwC/C93PD/yn1nosMBO4Pco9e5QnFJxJkCaEECHeRkCDI3omzR0ATduFA3B88UB2w46Yt3aFgrQGKQ0lRFzJZNKmA+Va611aay+wGJjfrs184IXQ86XA+UopFTq+WGvt0VrvBsqB6VrrQ1rrzwG01g3Al0BREn2My+MLZdJkuFMIIQyeeuMxRiatOWAsKGifSYsEaTFWeL68eh+le48CUmRdiEQkE6QVAftbva6gY0AVaaO19gN1QG4i14aGRqcAq5PoY1ySSRNCiHY8DcZjJxvZAh3mpHmtWXgtmZ3OS3NYzIAMdwqRiGSCtGhrs9sv14nVptNrlVIZwGvAD7XW9VHfXKnblFKlSqnSqqqqBLvckTscpEkmTQghDJEgLUYmLUaQhlIcc43uNEhzWo0gTYY7hYgvmSCtAhjU6nUxcDBWG6WUBcgCjnZ2rVLKihGgvaS1fj3Wm2utn9FaT9NaT8vPz+/2NxEZ7pRMmhBCGOIMdzbFCtIwykNlNewAHf0z1W41fu3IcKcQ8SUTpK0FRiqlhiqlbBgLAZa1a7MM+E7o+TeB97WxOc4yYEFo9edQYCSwJjRf7U/Al1rr3yTRt4SFhztlCw4hhAhxNxjloMy2qKcjmTRzxyDtWOZorIEWMpv3dzgH4JBMmhAJ63aQFppjdgfwT4wJ/q9orTcrpR5RSs0LNfsTkKuUKgfuAe4LXbsZeAXYAvwDuF1rHQBmAzcA5ymlykJfl3W3j4mQzWyFEKKdOBvZhhcORMukHXONAmIvHrCaTVhMSuakCZGApMpCaa2XA8vbHXuw1XM3cHWMax8FHm13bAWd1SHpBeHNbCVIE0KIkDgb2YYzaekWTfsd0eoyRhBUZnIatrF/wEVRr3dYzTLcKUQCUr7iwPGFA1KiRAghgFCQ1kkmrZM5aUMPLMNt60fRkQ8Zvu/VqNc7rCbqZbhTiLhSPkg7vnBASpQIIQQQf7izkyANjP3S0tyVMa93WM0y3ClEAiRIky04hBDiuIAX/O5Ohzs7W90J0GwvxO6rwxxoiXreaTXLwgEhEiBBWiiD5pPhTiFEJ5RSzymljiilNsU4r5RSC0M1iTcqpab2dR97RJw90sDIpNlNGnOMGcThygOxsml2yaQJkRAJ0kILBwJBTSAogZoQIqY/Y9QajuVSjO2ERgK3Ab/vgz71vDjVBsBY3dm+JFSb83GCtDSrmVoJ0oSIK+WDNHeruWiywlMIEYvW+mOMzbhjmQ/8RRs+A7KVUgP6pnc9KBykOWJn0pr8CmcnQZrPkoHPnBY7SLObqW32EpQ/jIXoVEoHaYGgxhfQZDmtgARpQoikJFLPGOi5sna9IlxtwBY7SGvxd55JQ6lOFw+k2SwEtVQdECKelA7SwkFZv3RjV21ZPCCESEIi9YyNgz1U1q5XJDAnrcmvcEapNtBas6OQNM8RVLDjAoF0m1F14FizBGlCdCalg7TwooGctFAmTYI0IUT3JVLP+OTnqQdbOpjMMZs0+xUZ1nhBWn9MOkBm094O59IiQZo3ub4K8RWX0kGaO5JJswMy3CmESMoy4MbQKs+ZQJ3W+tCJ7lSXuTuvNgDQ6Fcxt98IawotHshp6FgeKs1mFLs51iRBmhCdSaos1KkuvJFtbmi4U4qsCyFiUUotAs4F8pRSFcBDgBVAa/00Rom8y4ByoBm4+cT0NEnezqsNADT5TWRYOt8A3G3LI6hM5NRvZe/AtiWY02S4U4iEpHaQFsqc5YTnpEkmTQgRg9b62jjnNXB7H3Wn93gaIGdop02a/Yp0S+efl9pkpsWeT3bD9g7n0u2SSRMiEak93Nkuk+aRIE0Ikcq0BnfnJaEAGn1xVneGNNsLow532i0mLCYlc9KEiCOlgzSvZNKEEOI4TwMEfZ0Gaf4geIIJBmmOQpyeauyemjbHlVJkp9lkuFOIOFI6SAsvHJA5aUIIATQeMR4TqNuZHmd1JxyvPBAtm5aTZpXhTiHiSOkgLbxwIDtNNrMVQgiawkFa53ukAWQklEnrD0B2fcd5aTnpNhnuFCKO1A7S/EFsZhPO0Eoj2SdNCJHSGkMVAhLIpMXbggPAb0mj2V4QO5MmQZoQnUrpIM3tC2C3mrCZjR+DDHcKIVJaY/xMWqMv8UwagMfqorBmDcP3vcrwfa9GjvdLlzlpQsST0kGaxx/EbjFhDQVpsrpTCJHSGitBmcCWFrNJZE5agkFas6MQh6e6Q3mo7DQbx5q8GDuXCCGiSfEgLYDdYsZuMX4MMidNCJHSGiuNwuoq9q+GriwcgFB5KII4PdVtjuekWfEHNY2ejrU9hRCG1A7SfEYmzWaR4c6TidlspqSkhPHjxzN58mR+85vfEAwa/zalpaXceeedSb/Hnj17mDBhAk1NTeTm5lJXV9fm/JVXXskrr7zCn//8Z+644w4AHn74YZRSlJeXR9o9/vjjKKUoLS3t9P0+/PBDrrjiiqT73VPefPNNtmzZcqK7EdOePXt4+eWXT3Q3Uk/jEXDErzYAXcukAaR5Ktscz0kzVtXXypCnEDGldJDmD2qs5uPDnZJJOzk4nU7KysrYvHkz77zzDsuXL+enP/0pANOmTWPhwoU99l7p6elcdNFFvPnmm5FjdXV1rFixImpQNXHiRBYvXhx5vXTpUsaNG9dj/ekriQZpfv+JyXJIkHaChDNpnTg+3JnY56Xb1o+AspDmPtzmeDhIOyrbcAgRU4oHaUHMJhXJpEmQdvIpKCjgmWee4cknn0Rr3SYj9fDDD3PDDTdw3nnnMXLkSJ599lkAbrjhBt56663IPa677jqWLVsW8z2uvfbaNoHXG2+8wSWXXEJaWsd5OVdeeWXk3rt27SIrK4v8/Pyo9/3HP/7BmDFjOOuss3j99dcjx48ePcqVV17JpEmTmDlzJhs3bgSgqamJW265hTPOOIMpU6ZE3mfz5s1Mnz6dkpISJk2axI4dOzq8V0ZGBj/5yU+YPHkyM2fOpLLSyFrs3buX888/n0mTJnH++eezb98+Vq5cybJly7j33nspKSlh586dbe510003cc899zB37lx+/OMfd6lfe/bsYcyYMXznO99h0qRJfPOb36S5uRmAdevWcc4553D66adz8cUXc+iQUXu8vLycCy64gMmTJzN16lR27tzJfffdxyeffEJJSQmPP/54zH870cMaKsHReXH1rmzBAYAy0eIoIM3dLpMW2p9SVngKEVtqB2kBjcWssJgUSskWHCerYcOGEQwGOXLkSIdzGzdu5O9//zurVq3ikUce4eDBg9x66608//zzgJEVW7lyJZdddlmHa8MuueQS1q1bR02NsSv64sWLufba6GUaXS4XgwYNYtOmTSxatIhrrrkmaju32833vvc93n77bT755BMOHz6eRXjooYeYMmUKGzdu5LHHHuPGG28E4NFHH+W8885j7dq1fPDBB9x77700NTXx9NNPc9ddd1FWVkZpaSnFxcUd3q+pqYmZM2eyYcMG5syZEwlY77jjDm688UY2btzIddddx5133smsWbOYN28ev/rVrygrK2P48OEd7rd9+3beffdd/ud//qfL/dq2bRu33XYbGzduxOVy8bvf/Q6fz8cPfvADli5dyrp167jlllv4yU9+AhhB9O23386GDRtYuXIlAwYM4Be/+AVnn302ZWVl3H333TH/7UQPCgaMfdI62X4DoMmnMKFxmBO/dbO90AjSWi0SyAntTylBmhCxpXaQFtRYTCaUUtjMJgnSTmKxVoDNnz8fp9NJXl4ec+fOZc2aNZxzzjmUl5dz5MgRFi1axFVXXYXFYol5b5vNxrx581i6dCnV1dWUlZVx0UUXxWy/YMECFi9ezJtvvsnXv/71qG22bt3K0KFDGTlyJEoprr/++si5FStWcMMNNwBw3nnnUVNTQ11dHf/617/4xS9+QUlJCeeeey5ut5t9+/Zx5pln8thjj/HLX/6SvXv34nQ6o34P4Qzj6aefzp49ewBYtWoV3/72twEjw7hixYqY31drV199NWaz8Vu4q/0aNGgQs2fPBuD6669nxYoVbNu2jU2bNnHhhRdSUlLCz3/+cyoqKmhoaODAgQORn6PD4YiawRR9oLkGdDBuJq3Rb5SEUqoLt3YUYg20YPU3RI71Sw8Pd8qcNCFiif2bKwUYQZrxSWMzm2S48yS1a9cuzGYzBQUFfPnll23OqXa/KcKvb7jhBl566SUWL17Mc889F/c9rr32Wn7+85+jtWb+/PlYrdaYbb/2ta9x7733Mm3aNFyu2L/Q2vctLFrAqZRCa81rr73G6NGj25wbO3YsM2bM4O9//zsXX3wxf/zjHznvvPPatLFarZH3M5vNMeeSxepTe+np6W36m2i/hg0bFvXfRGvN+PHjWbVqVZtz9fX1CfVH9IGGULY3XibNrxJe2RkWWWafzN8AACAASURBVDzQasjT5bBiNStqGj1d66cQKSS1M2mBIBZzKEizSJB2MqqqquL73/8+d9xxR9QA46233sLtdlNTU8OHH37IGWecARjzqp544gkAxo8fH/d95s6dy44dO3jqqadiDnWGOZ1OfvnLX0aG66IZM2YMu3fvjsz3WrRoUeTcnDlzeOmllwBj1WdeXh4ul4uLL76Y//3f/40EcevXrweMIHXYsGHceeedzJs3LzKHLRGzZs2KzLd76aWXOOusswDIzMykoaGhs0sjutqvffv2RYKxRYsWcdZZZzF69Giqqqoix30+H5s3b8blclFcXBxZuOHxeGhubu5S/0QPCVcbSGBOWqIrO8PCQVp6qyDNZFIUZDo4XO/uWj+FSCEpHaQFWmfSLCbZguMk0dLSEtmC44ILLuCiiy7ioYceitp2+vTpXH755cycOZMHHniAgQMHAlBYWMjYsWO5+eabE3pPk8nEVVddRU1NDXPmzInbfsGCBUydOjXmeYfDwTPPPMPll1/OWWedxWmnnRY59/DDD1NaWsqkSZO47777eOGFFwB44IEH8Pl8TJo0iQkTJvDAAw8AsGTJEiZMmEBJSQlbt26NzGFLxMKFC3n++eeZNGkSL774Ir/97W8j/f/Vr37FlClTOiwcaK+r/Ro7diwvvPACkyZN4ujRo/z7v/87NpuNpUuX8uMf/5jJkydTUlLCypUrAXjxxRdZuHAhkyZNYtasWRw+fJhJkyZhsViYPHmyLBzoK13JpHUxSAuYHbit2R0WDxS47Bypl0yaELGor8Juz9OmTdPx9qlqbe6vP0RrzZ6aZuaOLuD5m89gzv/3AVMHZ/PEgim92FPRkx5++GEyMjL4r//6rw7nmpubmThxIp9//jlZWVknoHepac+ePVxxxRVs2rSpV99HKbVOaz2tV9+kj3T186vXfPwreP/ncOmvwBx7uP/qD7KxmGDRObUArN59NKHbj9y3BKenhjfO/wCAb88YzPdfXMfOqkbeueec5PsvxCkk0c+wlM6kAVhbD3dKJu0r4d1332XMmDH84Ac/kABNiEQ1VIIjq9MADY4vHOiqZkchDm8N5sDx4c3+WQ4qZbhTiJhSduFAOIFoloUDp6yHH3446vELLriAffv29W1nBABDhgzp9Sya6CWNhyGjf9xmzUkEaQpNVkM5R7MnAMZwZ73bT4s3gNPWhT09hEgRKZtJC3/EhOekWS0mvIFTf+hXCCG6paESMgvjNmvym7q8uhOOLx7IadgWOVaY6QCQbJoQMaRukBZKpVlCJaHsZhNef+BEdkl00xNPPBHZ1R7gsssuo7a2NuHrly1bxi9+8Ysuv29ZWRnLly9P+j7theuK9qWHH36YX//61126pqe+X3GSaKxMKJPW6FdkJFgSqjWPNYeAyUZO/dbIsUKXBGlCdCZ1g7TQY+vVnTLceWpqH6QtX76c7OzshK+fN28e9913X5fft32Q1t37nIr8fn9Kfb9feVobQVqcTFpAgzvQveFOlKLZXkB2w/bIoUKXHYDKBlnhKUQ0qRuktZ+TZjHhk+HOk8JvfvMbJkyYwIQJEyJ7ncWqCblw4UIOHjzI3LlzmTt3LmDMi6quro5cc+uttzJhwgSuu+463n33XWbPns3IkSNZs2YNAH/+85+54447ACgpKYl8OZ1OPvroI9asWcOsWbOYMmUKs2bNYtu2bXi9Xh588EGWLFlCSUkJS5YsaXOfaDUzwdi/LVyaadiwYSxdujTqz8Dv90etf/nee+8xZcoUJk6cyC233ILH42nzPQOUlpZy7rnnAkaG7JZbbuHcc89l2LBhbYrTP/roo4wePZoLLriAbduOD0E9++yznHHGGUyePJmrrroq8t7ta3q2/n6rqqq46qqrOOOMMzjjjDP49NNPAfjoo48iP88pU6bI3mcnK3cd+N2Q0XmQdry4evc+K5sd/cmp32ZUNgAKs4xM2hHJpAkRVeoGaaFcmjU03Gk1K8mknQTWrVvH888/z+rVq/nss8949tlnI5unRqsJeeeddzJw4EA++OADPvjggw73Ky8v56677mLjxo1s3bqVl19+mRUrVvDrX/+axx57rEP7srIyysrK+NnPfsa0adOYNWsWY8aM4eOPP2b9+vU88sgj/Pd//zc2m41HHnmEa665hrKysg41PKPVzAw7dOgQK1as4G9/+1vMTFS079XtdnPTTTexZMkSvvjiC/x+P7///e/j/ky3bt3KP//5T9asWcNPf/pTfD4f69atY/Hixaxfv57XX3+dtWvXRtp/4xvfYO3atWzYsIGxY8fypz/9KXKudU3P1u666y7uvvtu1q5dy2uvvcatt94KwK9//WueeuopysrK+OSTT6KWtBIngfBGtnGGO5t8yQVpTc4BWANNZDbvByDTbsFpNXO4ToI0IaJJKkhTSl2ilNqmlCpXSnX4baOUsiulloTOr1ZKDWl17v7Q8W1KqYtbHX9OKXVEKdWrS8RaZ9JeXr2PQ3Vuqhs9vLx6Hy+vlpWBJ8qKFSv4+te/Tnp6OhkZGXzjG9/gk08+AaLXhIxn6NChTJw4EZPJxPjx4zn//PNRSjFx4sRIfcv2duzYwb333suSJUuwWq3U1dVx9dVXM2HCBO6++242b94c9307q5l55ZVXYjKZGDduHJWVlVGvj1X/cujQoYwaNQqA73znO3z88cdx+3L55Zdjt9vJy8ujoKCAyspKPvnkE77+9a+TlpaGy+Vi3rx5kfabNm3i7LPPZuLEibz00kttvt/WNT1be/fdd7njjjsoKSlh3rx51NfX09DQwOzZs7nnnntYuHAhtbW1ndZQFSdQeCPbOMOdkUxaNxYOADQ5jCAwp94o76aUotBll+FOIWLodpCmlDIDTwGXAuOAa5VS49o1+y5wTGs9Angc+GXo2nHAAmA8cAnwu9D9AP4cOtarwkFaeE6axaQIBGW480TrbHPlWHU6O2O32yPPTSZT5LXJZIpa37KpqYlvfetbPPvss5HqBQ888ABz585l06ZNvP3227jdXf+rv3VfW/cp1vcbq/5lLBaLhWDQyAS371/r92td1zPWz++mm27iySef5IsvvuChhx5qc7/WNT1bCwaDrFq1KpKJPHDgAJmZmdx333388Y9/pKWlhZkzZ7J169ao14sTLNFMWihIy+hmJq3FXkBAWelXtyVyrMAle6UJEUsymbTpQLnWepfW2gssBua3azMfeCH0fClwvjJ+M8wHFmutPVrr3UB56H5orT8GEtvCOgnh4c7w6k6zBGknhTlz5vDmm2/S3NxMU1MTb7zxBmeffTYQvSYkdK0OZTw333wzN998c+Q9Aerq6igqKgKM+Wthnb1vrJqZiYr2vY4ZM4Y9e/ZQXl4OGOWUzjnH2Kl9yJAhrFu3DoDXXnst7v3nzJnDG2+8QUtLCw0NDbz99tuRcw0NDQwYMACfzxepMRrPRRddxJNPPhl5XVZWBsDOnTuZOHEiP/7xj5k2bZoEaSerLmbS0roZpGmTmVrXKPrVHw/SCl0OmZMmRAzJBGlFwP5WrytCx6K20Vr7gTogN8FrO6WUuk0pVaqUKq2qqupi1ztm0swmE34J0k64qVOnctNNNzF9+nRmzJjBrbfeypQpRqmuaDUhAW677TYuvfTSyMKB7tq7dy9Lly7lueeei0x2Ly0t5Uc/+hH3338/s2fPJhA4vk3L3Llz2bJlS2ThQGuxamYmKtr36nA4eP7557n66qsjQ7jf//73AXjooYe46667OPvss6MOR7Y3depUrrnmGkpKSrjqqqvaBKU/+9nPmDFjBhdeeCFjxoxJqL8LFy6M1CMdN24cTz/9NGCsvJ0wYQKTJ0/G6XRy6aWXdunnIPpIw2GwOOPW7WxMMpMGcNQ1zsikhT6E+7vsHK53d5opFiJVdbt2p1LqauBirfWtodc3ANO11j9o1WZzqE1F6PVOjIzZI8AqrfVfQ8f/BCzXWr8Wej0E+JvWOqHNorpTu7PR46eqwcMPzx9JgcvB8i8OsXp3DT+dZ7zlt2cMTvh+ovf1VU1IcWqQ2p097JUboXIL/KAUSp+P2ez1vQ7uWeviw0tqGJJh/MGSaO3O1mZsfoS3zllOU9ogVuyoYvmmw2x48CKy0jovSSXEV0Vf1O6sAAa1el0MHIzVRillAbIwhjITubZXtd/MVoY7hRDxJLBY6ialVJVSqiz0deuJ6GeX1VVAVnHcZrVeI5OWbev+SvijWcbU5X51xuKBfuk2APYeber2PYX4qkomSFsLjFRKDVVK2TAWAixr12YZ8J3Q828C72sjOloGLAit/hwKjATWJNGXLguHY+ZWCweCGoKScj8pSU1IcaIluFgKYInWuiT09cc+7WR3JRykmVBoMru5uhOgLmMkAWWJzEvrl2EsbNlT09zZZUKkpG4HaaE5ZncA/wS+BF7RWm9WSj2ilAqv5/8TkKuUKgfuAe4LXbsZeAXYAvwDuF1rHQBQSi0CVgGjlVIVSqnvdrePnfffeLS2CtIAyaYJIWJJZLHUqcfvMVZ3Zg2K27TOq3BZNeb4C6tjCppt1GaOIrf2CwD6pRmZtD3VkkkTor2kNi3SWi8Hlrc79mCr527g6hjXPgo8GuX4tcn0KVHh4U5z6NPGHBr2DAQ11vjzroUQqSfagqcZUdpdpZSaA2wH7tZa74/S5uRRH5ppkkAmrc5nIsuW/B+y1TmTGVbxJirox2axkOW0sqdGgjQh2kvhigMGi+n4nDRAVngKIWKJlj9q/4HxNjBEaz0JeJfjWxC1vVGSq9N7VF2F8ZjgnLRk5qOFVWeXYA20kN2wAzDmpe2V4U4hOkjZIA1tfOKGYrPIcKc/IKWhhBBRxV3wpLWu0VqHt89/Fjg92o201s9oradprafl5+f3SmcT1qUgzURWDwRpVTnGtjp5tcZ+enkZNhnuFCKKlA3SNGAxq8iu6zInTQgRR9zFUkqpAa1ezsOYr3tyCwdprvhbVdZ5Fdk9MNzZ7OhPs72A/GNGXd7cdDs1TV7q3b6k7y3EV0nKFtLTWkeGOEGGO4UQndNa+5VS4cVSZuC58GIpoFRrvQy4M7Rwyo+x3dBNJ6zDiarbD+n5YHXEb+o1JT3cOXzfqwC02PPIq90AtNqGo7qZicVZSd1fiK+S1A3SAKvpeCJRMmlCiHgSWCx1P3B/X/crKQluvxHUxpy0rCS232itMa2Y3MNbcLorycswArM9NU0SpAnRSuoOd+rjKzvBKAsFkkkTQqSYBIO0Rr8iSM8sHABocBrT+/KOlUUyaTIvTYi2UjhI05HsGRwf7pRMmhAiZWgdCtIS2yMN6JEtOACanf3xmdPpX/MZNouJ/i4Hu2UbDiHaSN0gjePbb0Cr1Z1BWd0phEgR7lrwNSW8shOSKwnVmlZmDufNZGDVp6A1Iwsz2HqooUfuLcRXReoGadpY3RkWfh4ISCZNCJEiurD9Rl2kbmfPfUYezJtNuvsQrqbdTCzKYntlA25foMfuL8SpLnWDNKIPd8qcNCFEyji2x3jMHhy3aTiTlmXtudGGQ/mzARhQtYKJRVn4g5qthyWbJkRY6q7u1G2HO2VOmhAi5VRvNx73rYaDZZ02re2FTFqzcyB16cMYWP0phcX3APDFgTpKBmX32HsIcSpL3Uyaps0+aZl2K2alpH6cECJ1VO8ARzZY7HGb1oUyaa4empMWdih/NgVHSylK1+SkWfmiorZH7y/EqSx1gzR0mzlpTpuZqaflsG7vMepbZNdrIUQKqN4OGQUJNa31mnCaNQ5zz3ahomAu5qAXte3/mFiczRcH6nv2DYQ4haVukKZpMycN4JxR+QS1ZkV59QnqlRBC9BGtjUxaemJBWp2v5/ZIa+1Iv9NpdA6EspeZWOSSxQNCtJK6QRpt56SBUZpkcnE2q3fXcKC25cR0TIgkBINBtJZ5lSIBjZXgqYeMwoSaG8XVe+G/LWViz8ArYNcHTOvnIRDUbDkk2TQhIJWDNN12uDPsvDEFmJTiu39eS4MU+xWnmCu+/k1y8go4a+4F/Pi++1m6dCm7du066QO3z3bVsOlA3YnuRmoJLxpIeLhT9ejKztZ2F80DHWR6wzsoBZ9sl9EMISCVgzQ6DncC5GbY+faMwZQfaeTORev7vmNCJGH3nj3YzrmN7bmzePbT/dz+099SMn026a4sTj/zbO6484f89a9/ZfPmzfj9/hPd3YgH39rEwvd2nOhupJbq0M87wUxaTxRXj6Uh/TQYNIP0TS9zenEm735Z2SvvI8SpJqW34DCboseoIwsy+Y+5I1j43g5qGj3kZsRf+STEySAzI4Mjm/6B7j8WS+EwrJMuxJGRS7ClnorKXby0cSevfPwc3sqduGurGT56LDPOOJ0zp09j6tSpTJgwAbs9+n/vDzz8M6qrqvi3791CSUlJj/b7aJOP00+z9eg9RRzVO8CaDo7ECprXelWPbr8BMHzfq5HnO/QgRh5dzWX5n/LIgUkcrnPTP8vRo+8nxKkmJYO08NBPtOHOsGmn5QCwvbKRMyVIE6eIt19/lY8//pg1a0v5dPWnbHrvKQJBTXrRSPw5p2HJH4519Cyc2f1xed3UHNnFm7t38fbnSwlW/YqGI/sZNGQ4006fwuwZZzB16lQmT55MZmYmryxdyiGVy0uvXEZBXj/+47bvcv1111FQkNhwWSzBoOZYszdSZFv0kertkDcSVOzPwbCghmNeEzn23iubd9Q1lqOusXyj4UUe4//x3tZKrptxWq+9nxCngtQM0kKP0YY7w0YVZgKwvbKBM4fn9kGvhEheYWEhV199NVdffTVg/EFy4MAB1q9fz9rSdXy6upQNb/2FmoZ6MotGEOw3BFPeUKwl87DmDiIjGKC5ai/vVu7k/b++g37iD9Qf3E1B/wHUVB0h++pbsBXeTeO+TTz24v/xkwce4qyz53D7v93KZZddhs3W9UCr3u0jENT0S5c/hvpU9Q4YPDOhpkfcJrxBRXFaL666VIqNI+/g3HW3c6vzY97ZMkCCNJHyUjJIC0dpnQVphS47LoeF7ZVSokScupRSFBcXU1xczNe+9rXI8erqatavX8+6dUbg9vm7b3Ko8jCugUMhdwjkDsMy9jxs+beQbjLjq9mPq74KW+FwlFI4TpsEp00i7ZzvsX7bp9x670/x3nIr315wbWQ4VCWQoQGoafICkCuZtL7TUgt1+yD/Owk1r2gyNkcrTu+9TBrAwfyzOZw7g7uP/pUrdoym/MhYRhRk9up7CnEyS8kgLZJJM8deN6GUYnT/TAnSxFdSXl4eF154IRdeeGHkWH19PRs2bODzzz/n09WllH72R/bv2UlmwSDMBcMI5o3A+L/nePBlsqeRMelCmHQhvtrDvLrpfV6+6HLyc3P4j9u+yw3XXx93OPRYKEjLkSCt71SsNR4HTYeanfGbNxuflb2aSQNQilWTHuOSFd/kd8GFPLF8LE/edHbvvqcQJ7GUXN0ZmZPWSSYNYGRhJtsrG0/67QuE6Akul4uzzz6bu+66i1defpFd2zbTUFfLv95YxKP/dhX686V4K3fFvN6a3Z/MWd8m55Y/0DT1ev7fX//BacNGcMEll/PGG2/g9XqjXieZtBNg32egzFB0ekLN90cyab0bpA3f9yoDj3zE3oGXMVxVcPOuu1mzpbxX31OIk1lqBmmhR3MnQdrLq/fR0OKjrsXHHz7aRW2zV3bBFinH4XAwbdo0brvtNvIL+xOoO4Lv2CH8dZX466vwN9QQaDpGoLmOgLuRoKcZ7fNiHziW9AvuIP97f6LMPIrv/egR8voP5Pv/8QM+//zzNn/4HA0FabJwoA/tXw39J4ItPaHmFU1m8h2BHi8JFUtdxnB8JTcx0bSb3CVf451//U32rRQpKTWHO8Nz0joZ7gQodBnLv/cdbebiJz5m1vA8Hr+mZ7ceEOJUMffcc3n77UX4AwGCoa9AMEAwECQYDBhfoec6GCAQCKCDQZRSKJOZYMDPH37/JH/4/ZOsX78+so2HBGl9LOCDA+tgyg0JX1LRbKY4rXfno7VnL55M3ah55Cy9lfM/vZ6lH89hiWUeey1DsJkV2Wk2Jg/KYsqgHEoGZzMiPwNTnNERIU41KRqkJTbcWRAK0v628SD1bj9/33iIB68YJ3NnREp6+snf8vSTv+3SNVprgsEggUCgzVdm5vHJ4DWNXtJtZhzWPkrTpLrDX4CvGQbPSPiS/U1mJvfr+0xWVvNefOffy4EN/+LrRz7hW3zETkZSap7OBvcIPlnfn0VrjH3eMu0WSgZnM2VQNlNOy2HqoByy0qx93mchelJqBmmhx872SQPIsFtIt1uod/s5/bQc1u09xltlB7hp9tDe76QQXwFKKcxmM2Zz7ADsWLOXfhnyh0+f2b/GeByUWJAW0HCw2cQVxSdmuofV7mDQ9Hms2zEVhWZQ5bt8q/ZlrkGDGZocuRy0nsYe+rPlYAFf7Mzlb3oAByhgcH42d54/kksn9I87ciLEySg1g7TIFhzx/6ft77Kz72iAp749le/9pZRXSiskSBOiB9U0eemXJkFan9m3ElzFkFWcUPPKFhN+rXp90UB7q3cfbXvAkgbArqL57O1/MWnuStLch0l3H2aAp5Kh3i1cGHBD6D+lIIoD9QXsWlrIm8uKGThsPCUlp5PWfxRkDwazZNnEyS81gzQSG+4EuHziQFp8AfpnOfjWtGIeeGszmw7UMaEosVIqQojOHW3ykC9VPfqGpxF2vAOTvpXwJZGVnX08J60zAbODhvTTjJqfrVj8zTi8R40vTw0BSzoj6nYzreUD0ncsh1C5Uo0imDEAX2YRDfYBHDbls8eXy8oaJ1tbsjlMHljTKBmcw5C8dIbmpjMk18mgLAu5ThM2FYCAH4I+MFnBmS1Bn+gVqRmkRRYOxA/SwrXjXl69D69fYzUrHl62mW9MLebbMwb3ZjeFSAlHG72MLnSd6G6khi/fNuajTb424Usqmo0gbVAfZ9K6w29Jo9GSRmNaqyxh7nQqtOZAg58vjnhpamygSFVRXFdNUX01RaxijDrKRBXga61v5oVguSK4Q6HQmFWcrZgsDrBlQGYhuIpg6o0wYDJkDWpTesvtC7DwvR1UNXgAY1rNDy8Ylfz8uYAPmo+CpwFMZqMvaf2M50nw+AN4/EHsFhN2i8wb7WupGaSFHjvbgiMap83MlEE5fL7vGBeN79/zHRMixWitqWnykitz0vrGhkWQMyTh+WgA+5uMaSEDe3sj296kFEUuK0UuK6MGDuaLY1Yqmk1UmOCLulqK7G48RbPIcB8iveUgae7D5B1bD2i01jQHzDQErDQEbDQHLTQFrRzz26hwO4Eg/VQDY6z1DFPHGFhbQUblFtSOfwHgtffjSMZYtpmGs6nJxRd1Tg4Fc6gjDa+24sHK4pVbKUo3MSkvwJR+fgonnIs/qDlY28J7W49Q2+TlWLOPRo8fh8VEf1XDSPYzwVrBUP9uxga2UxisxET7bKcCW5oRKKbnQ3oeOi2P+uoDHAlmcRQXNQVnUqVdHPGnc8Rrp9YdoL7ZQ3PNfvLc+ykKHmC4OshwdZD+pjqyLV5wuDBlDcQ1fCa2kXOheDokMH1IdF1qBmmR1Z1d/49q1ohc1uw5yurdNdw2ZxhgFIjWdD3oEyLVtfiMv9Jl+40+UHcAdn8M5/w4oaLqYZ/XWBmW6cf+FUmi5Ng1c/of31h59e5m40n1isgxjzWLAwXndrg2LfSVB5wGjAsqtjU62VCfzjseF1tqjGyYAw9j1T7Gm/Ywyb+LiS27OFet5HylIVbCLAD+wya8h614thjB22jtYIZy4jalYzGbcFmbGRg8hDPQaFzjh8PksTkwiNf1GRzSufjNDgY5fQx2NJOv6kkPNmD1m7BU1mD37CIzUEu2aiIyYWfvHyJdCKLwY8ZCAFNoYQZm8GCjylxIFTnsDaRhqvdQ3FBOvwMfwSe/oMFZhLlkAWlnXA/9hnX9H0XElKJBmvGYyHBnewWZDkYVZrB611E8/gB2i5mfvr2ZVbtq+Mddc2SfHiES8PLqfcDxklA7pPxa71vzDKC7NB+tya/4rMrGjcNbeq9ffazDgoQk2Eyaia5mJrqagSo8QcUht416vxlf0InFNBqfeST7bD7qzV5sgUasvgZs/gZqsidhDnoxB73kHy1FBQOYtB+PP4g/GMQS9JOu3PTTbszBWpTWBMx26q1jOOwooMWeT7O9gIDFiTWocDXbOdriQFtcvF9nYftRCw0+IxFhNimynFbyM+3kZ9qZ4F3PEEstBaZ6snQ9mboBe6AZc9BNXeYItLLQ7CikPn0I/Wq/wGfJjAT2LmDCoFzW11h462AAz8EtnNu4gtkrfwOr/oc9WTMYcvl/wogLJbvWA1IzSAs9JrJwIJqzRuTz3Ke7+cvKvVwyoT8vrd6HP6hZUV7NnFH5PddRIb7imrx+ANJsKflR1HeOfAmrnjTmouUOh9LnE7psRaUVb1Bx3gBPL3fwq8Fu0gxJi/WzMuM1ZeG1ZtEEmII+NAq/yc6hvNlJv++oDDejMtxALfNyjONBDQGtsJqizaezArn4yeVYjPtmNu3FZ+04X3TT/hqswDnZoLMK2O9ewP2VMKBuPQtq34eXv0WTLR/78LOwzF8IDplz2l0p+cmYzHAnwPD8dEYXZvLEu9sp3XsUpcDlsLBk7X4J0oTogiaPEaSl21Pyo6hvBIPw9g/B7oKLHu3Spe8fspNpDXJGnpRkOhWZFJjiLXhIklIw2Oll8BBoDkzk6aoz4ehurnC/w7Qv38C99R/sHnAJpskLGDrlfGw2WQXbFUnlIpVSlyiltimlypVS90U5b1dKLQmdX62UGtLq3P2h49uUUhcnes+e0N2FA2FKKb42eSAef5B/bq5kyqAcJhZl8Y9Nh9ld3cT/vreDZRsOEgwa71TX4uOeV8q46PGP2F7ZwIHaFq595jOe/Th2sWohvuqC9bMbnwAADOxJREFUWtPkMSajp9tOjQlPyXzmnRB+D7z2Xdj/GVz0c0jPTfjSoIb3D9s4p9CLVUatRALSzEEu7V/PxWNzKR38XX7u/BH/YgaDDyxn9P9dQ+OjQ1nxi3l8+PyD7F6zHN0cK4cnwrr956tSygw8BVwIVABrlVLLtNZbWjX7LnBMaz1CKbUA+CVwjVJqHLAAGA8MBN5VSo0KXRPvnkkLz0lLZqJ/v3QbF4wt5MPtRzhnVD7eQJBPd9Zwwf98RCD0Bo/+fQsTi7L44kAd1Y1eXA4LV/1uJXariepGL6V7jzJ3TD4jCjJjvo/XH2R3dROn5aa1KZuzcmc1G/bXcducYTR6/Ny5aD0zhvXjP84dgccfoHTPMWYOy+2VxQyL1uyjttnH988ZhurCBGQhwt77spI1u48ysjADODUyacl85vV9b4GKdfDP/zYCtLHzjIAtwWFOgD9ud1LlNnPhwMZe7KT4KjIpmJLVBFkOYA6rPLPw1eyhX2M5o9wbKdj7Eez9LSyHFrMLsopw5A5GuQZARiFkFIQeWz23Ok/0t3VCJPPJOB0o11rvAlBKLQbmA60/sOYDD4eeLwWeVMZv9fnAYq21B9itlCoP3Y8E7pk0jaYnQos5o/I5c3gu1lC5kdGFmTR4fFxZUkR1o5dVO6vZfLCeTIeVq6YWk2G38OJne/H6g3zv7GH89bO9fO8v63jt32dR1eCh0GUnO7Tzeumeozz5QTkrd9bg9QcpznHy0NfGM3tELu9sqeQ/X9mAP6jZsL+WqkYP6/Ye46PtVTR5/KzYUc2GijrOHpnHb75VgtYaX1BTmGknqKGmyUO63YLPH+SZT3axsryGGUP7ce7oAiYWZeFyWnD7gljMCotJUdXo4Ui9h6JsJy+s2sMT7xo7Qu4/1syPLh7NvqPN9Eu3MTDLiTcQpMUbwOW0YjYpfIEgiuPF7MPZRaWQAK8Xaa3RmshClkDo5242KbTWePxBbGYTJpPCHwjiDQRxhv4IaPD4sZpMOKwmPP4g9W4fLocVm9lEdZMHjy9IocuBNxBkT3UTWU4rA7Ic7KxqYm9NE2MHuLBbTPxzSyX+QJDzxxTy/tZKXli1l2mn5TCyMIP3th7BpODzfbWYTQq75ZRI1XT7M0+H51j0JK2NvbGCfmNvrOYaOLYbDm2E8nfhQCk4+8E3ngVvU5du/fpeB499kcnlxW6uGCTz0URyMu0WGDgCGMFuLmGL283hmlo8DdVYvPUUVB2luGYrRebVZAbrUHT838VjctLkLKLBXkijvT8tzv64HfkE7S6CtkyULQOT1W6UobNasZotmC0WLGYLFovx3GQyo0wWTGYzJnPo0RR+bpxHGe+udWjj+9DnqMWkMJsUFpMp9Kgin6/+QJAmTwCX09Ljv9eSCdKKgP2tXlcA7TffibTRWvuVUnVAbuj4Z+2uLQo9j3fPbnu1dD8PL9tMkzdATyWYrK3qwd145mmRf6DinDRKBmV3aH/73BFobfyyvHh8f94sO8DUn70TOe+wmjApRbM3QLrdwvQh/cjLsPPpzmq+95fSSLshuemMLszgH5sPo4AFZwxi08F6nvpgJ3aLibNG5LFqZw1nPPpu5BqTMoYwWlMKJhVn8/zKPfxxxe4O7axmhS/Q9qKpg7PJdFj5/9s72xi5qjKO//7TbbtdqrSFtpQt0a3ZqAShIJCKxpiCWMGIHzTR1NgoSf2AERsT40sCWRITMQbULySkIIjQRCuRSgiktvj2QbCVWkuKtLwUC9WCS5cXlX2Zxw/nzHR2dma7d2Z37rmZ55fczD3nnnvnOc+c+5xn7jnnPvc99kJ1lR6EhRjjNU7Y/FKJ0Ynw3p4FPaXgLE5MvfnCvInQ4Cv7lRukbICFobHKdSUhQrnK/VC9oar7kfqvE1UHXQLFVP116q9hdRdSvJBqzhVBnmllj2VUU8+y2aRzzCzoI5xQ1UnZTh6fKFv1N6rqT6JUCt/x1vgEZQu/nyRGx8PvsLCnxHg5nC/BgnnBEYOTT5YrDl39bz+vpOqxSj2r+qhL1zL06+DDvK//dB7Y9xKjE2UGVyzmo+euZOsfn6O3p1QUh70dm/dK298+9l/4/ruCU1YeA2sWAUDQ/364YgguuRYWvi3TE7SywX3P9nLZ8lFuueQ1WlgE7zjTsqi3l4H+s4CzeGO8xN6Rxdz7eh/P/qeXf4+W6Cu/yQqNsFwnwsYIKzXM2WPDrNKLrNJ+ztDcrAgvm5igRJkSE5T48tgW/lA+v2HZkogPI4LxO3jTBhbN8tSNdpy0Rrdugy6xYZlm+Y3+Tjc0/ZI2A5tj8g1Jf28iZyPOBF7Z+L0MZ+RE3SPEM4nG/gjwu5oDN9ed93SG73g+o0xHMpanRu6C4XLPIkfq9n9Tk944BBuzyf2OUxeZddqxeZMLtWe/ZsDuuG1pqy1smzV52ibJNt0CXo+0mEE9vj3ji/XVd8TTMyMb1o6TdhQ4pya9GnipSZmjknqA04HhU5x7qmsCYGa3A7e3IrikPWZ2cSvn5onL3Vlc7s5SALnbsXmTaMd+ZaEAOp0RXo+08Hp0jnYmgvwZGJQ0IGkBYSHAjroyO4BNcf/TwO44N2MH8Nm4EmoAGAQen+E1Hcdx8qAdm+c4jpOZlp+kxfkWXwEeIQSPuNPMnpR0E7DHzHYAdwD3xIUBwwSjRiz3c8Jo3jhwnZlNADS6ZuvVcxzHmR3asXmO4zit0Na6dzN7CHioLu+Gmv3/AZ9pcu53gSlvVmx0zTlgzocZ5giXu7O43J0lebnbsXk5kbxOZ4jXIy28Hh1C/iTecRzHcRwnPQrxciLHcRzHcZxuo6uctE6EnGoVSedIelTSQUlPSro+5i+TtFPSofi5NOZL0o9jXfZLuihn+edJekLSgzE9EMPiHIphchbE/GTC5khaImm7pKei3j9QBH1L2hLbyAFJ2yT1pqhvSXdKOi7pQE1eZv1K2hTLH5K0qdF3OZNJ2dZloVEbKhrNbHvRiHbmcUl/jfUYylumdqjvs1Kla5w0nQzp8nHgXOBzCuGpUmEc+LqZvRdYB1wX5fsmsMvMBoFdMQ2hHoNx2wzc1nmRJ3E9cLAmfTNwa5T7VUK4HKgJmwPcytRXvHWSHwEPm9l7gAsI8ietb0n9wFeBi83sPMIE9kr4odT0fRewoS4vk34lLQNuJLw09lLgxopj5zSmALYuC3cxtQ0VjWa2vWi8Baw3swuAtcAGSetylqkd6vusJOkaJ42akC5mNgpUQrokgZkdM7O/xP3XCY2nnyDj3bHY3cCn4v41wE8t8CdgiaRVHRYbAEmrgauBrTEtYD0hLA5MlbtSn+3A5bF8R5H0duDDhNV4mNmomZ2gAPomLPhZpPAerj7gGAnq28x+z9R3hGXV78eAnWY2bGavAjspfqc91yRt67LQpA0Vimlse6GI92YlkOv8uBVyUnt9n5Uy3eSkNQrpkuSNEoekLgQeA1aa2TEINzuwIhZLqT4/BL4BVOLUnAGcMLPxmK6VbVLYHKASNqfTrAFeBn4SH3lvlXQaievbzF4EfgC8QHDORoC9pK/vCln1m4TeC4brLFHqbHvhiEOE+4DjhD9PhawHU/usZOkmJ21G4VryRtJi4JfA18zstemKNsjreH0kfQI4bmZ7a7MbFLUZHOskPcBFwG1mdiHwJieH3hqRhNxxqO8aYAA4GziNMKxVT2r6PhVZQ8g5zXGdJUgG254sZjZhZmsJ0TYulXRe3jJlpUmflSzd5KTNJKRLrkiaT7iJ7zWz+2P2vyrDavHzeMxPpT4fBD4p6XnCsMp6wr+UJXE4rl62qtyaJmxOBzgKHK35J7id4LSlru8rgOfM7GUzGwPuBy4jfX1XyKrfVPReJFxnidHEtheWODXktxRz6sGUPkvSz/IVqTnd5KQlHXIqzhO6AzhoZrfUHKoNM7MJeKAm/wtxVdw6YKQyjNRJzOxbZrbazN5J0OluM9sIPEoIi9NI7tzD5pjZP4F/SHp3zLqcEAEjaX0ThjnXSeqLbaYid9L6riGrfh8BrpS0ND5FvDLmOc1J2tZ1G9PY9kIhabmkJXF/EeEP41P5SpWdJn3W53MWqzlm1jUbcBXwNPAM8J285amT7UOEIYn9wL64XUWYP7QLOBQ/l8XyIqzgegb4G2G1X951+AjwYNxfQ4jHehj4BbAw5vfG9OF4fE2O8q4F9kSd/wpYWgR9A0ME43gAuAdYmKK+gW2EeXNjhKc717aiX+BLUf7DwBfzbudF2FK2de22obxlaqEODW173nK1UI/zgSdiPQ4AN+Qt0yzUqdpnpbp5xAHHcRzHcZwE6abhTsdxHMdxnMLgTprjOI7jOE6CuJPmOI7jOI6TIO6kOY7jOI7jJIg7aY7jOI7jOAniTprjOI7jOE6CuJPmOI7jOI6TIO6kOY7jOI7jJMj/ASp52tAW5fIyAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "fig, axs = plt.subplots(2, 2, figsize=[10, 9])\n", "fig.suptitle('Comparison Parameter Histograms', fontsize=20)\n", "axs = axs.ravel()\n", "sns.distplot(ivim_fit_dmipy_fixed.S0.ravel(), ax=axs[0], label='Dmipy Dstar-Fixed')\n", "sns.distplot(ivim_fit_dipy.S0_predicted.ravel(), ax=axs[0], label='Dipy Reference')\n", "axs[0].set_title('S0')\n", "\n", "sns.distplot(ivim_fit_dmipy_fixed.fitted_parameters['partial_volume_1'].ravel(), ax=axs[1], label='Dmipy Dstar-Fixed')\n", "sns.distplot(ivim_fit_dipy.perfusion_fraction.ravel(), ax=axs[1], label='Dipy Reference')\n", "axs[1].set_title('Perfusion Fraction')\n", "\n", "axs[2].axvline(x=7, label='Dmipy Dstar-Fixed')\n", "sns.distplot(ivim_fit_dipy.D_star.ravel() * 1e3, ax=axs[2], label='Dipy Reference')\n", "axs[2].set_ylim(0, 0.005)\n", "axs[2].set_title('D_star (perfusion)')\n", "axs[2].text(450, 0.001, 'Dipy IVIM does not respect\\noptimization boundaries')\n", "axs[2].arrow(800, 0.0005, 100, -0.0001, width=0.00005, head_length=80.)\n", "\n", "sns.distplot(ivim_fit_dmipy_fixed.fitted_parameters['G1Ball_1_lambda_iso'].ravel() * 1e9, ax=axs[3], label='Dmipy Dstar-Fixed')\n", "sns.distplot(ivim_fit_dipy.D.ravel() * 1e3, ax=axs[3], label='Dipy Reference')\n", "axs[3].set_title('D (diffusion)')\n", "\n", "[ax.legend() for ax in axs];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the histograms notice again that the 2 Dmipy implementations find similar parameter values, and the Dipy implementation differs.\n", "- S0 is basically the same for all algorithms.\n", "- Perfusion fraction are lower for Dmipy IVIM, and Dipy IVIM finds a very particular peak just above 0.25.\n", "- D_star is fixed to 7e-9 $m^2$/s for D-star-fixed algorithm, but Dipy's D_star values sometimes find values of 1000 (i.e. 3000 $mm^2/s$, 1000 times free water diffusivity).\n", "- For regular D estimation, Dipy IVIM being somewhat lower overall compared to Dmipy's." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting error comparison" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following our previous findings we can also calculate the mean squared fitting error for the three algorithms." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "mse_Dstar_fixed = ivim_fit_dmipy_fixed.mean_squared_error(data_slice)\n", "mse_dipy = np.mean(\n", " (ivim_fit_dipy.predict(gtab) / ivim_fit_dipy.S0_predicted[..., None] - \n", " data_slice / ivim_fit_dipy.S0_predicted[..., None]) ** 2, axis=-1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(nrows=1, ncols=3, figsize=[15, 5])\n", "fig.suptitle('IVIM fitting error comparison', fontsize=20)\n", "axs = axs.ravel()\n", "im0 = axs[0].imshow(mse_Dstar_fixed, vmax=0.08)\n", "im1 = axs[1].imshow(mse_dipy, vmax=0.08)\n", "\n", "axs[0].set_title('Dmipy IVIM Dstar-Fixed')\n", "axs[1].set_title('Dipy IVIM reference')\n", "\n", "for im, ax in zip([im0, im1], axs):\n", " fig.colorbar(im, ax=ax, shrink=0.7)\n", "\n", "axs[2].boxplot(\n", " x=[mse_Dstar_fixed.ravel(), mse_dipy.ravel()],\n", " labels=['Dmipy D-fixed', 'Dipy reference']);\n", "axs[2].set_ylabel('Mean Squared Error')\n", "axs[2].set_title('Fitting Error Boxplots', fontsize=13);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dmipy's IVIM implementation has overall lower fitting error than Dipy's implementation -- which shows some extreme outliers even.\n", "\n", "This example demonstrated that Dmipy can be easily used to generate, fit and evaluate the IVIM model. Without commenting on any implementation's correctness (no ground truth), we at least showed that Dmipy respects the parameter value boundaries that we impose during the optimization." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### References\n", "- Le Bihan, D., Breton, E., Lallemand, D., Aubin, M. L., Vignaud, J., & Laval-Jeantet, M. (1988). Separation of diffusion and perfusion in intravoxel incoherent motion MR imaging. Radiology, 168(2), 497-505.\n", "- Le Bihan, D. (2017). What can we see with IVIM MRI?. NeuroImage\n", "- Gurney-Champion OJ, Froeling M, Klaassen R, Runge JH, Bel A, Van Laarhoven HWM, et al. Minimizing the Acquisition Time for Intravoxel Incoherent Motion Magnetic Resonance Imaging Acquisitions in the Liver and Pancreas. Invest Radiol. 2016;51: 211–220.\n", "- Park HJ, Sung YS, Lee SS, Lee Y, Cheong H, Kim YJ, et al. Intravoxel incoherent motion diffusion-weighted MRI of the abdomen: The effect of fitting algorithms on the accuracy and reliability of the parameters. J Magn Reson Imaging. 2017;45: 1637–1647.\n", "- Wong, S. M., Backes, W. H., Zhang, C. E., Staals, J., van Oostenbrugge, R. J., Jeukens, C. R. L. P. N., & Jansen, J. F. A. (2018). On the Reproducibility of Inversion Recovery Intravoxel Incoherent Motion Imaging in Cerebrovascular Disease. American Journal of Neuroradiology.\n", "- Gurney-Champion, O. J., Klaassen, R., Froeling, M., Barbieri, S., Stoker, J., Engelbrecht, M. R., ... & Nederveen, A. J. (2018). Comparison of six fit algorithms for the intra-voxel incoherent motion model of diffusion-weighted magnetic resonance imaging data of pancreatic cancer patients. PloS one, 13(4), e0194590." ] } ], "metadata": { "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": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 2 }