From 3b8f5d898f011c00ca0149d8172c5f02b9722226 Mon Sep 17 00:00:00 2001 From: Danilo Ferreira de Lima <danilo.enoque.ferreira.de.lima@xfel.de> Date: Wed, 13 Dec 2023 15:04:22 +0100 Subject: [PATCH] Removed old resolution estimate. --- notebook/Example offline analysis.ipynb | 409 ------------------------ 1 file changed, 409 deletions(-) diff --git a/notebook/Example offline analysis.ipynb b/notebook/Example offline analysis.ipynb index d92c70f..74a3f59 100644 --- a/notebook/Example offline analysis.ipynb +++ b/notebook/Example offline analysis.ipynb @@ -443,415 +443,6 @@ " ylim=(0, 1.3*Y))\n", " plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "bbbf77b5-f914-4b47-8ab6-fd3a89d0f983", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 864x576 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# select the correct train ID for the data to plot\n", - "# except for the energy axis, which is always the same\n", - "plot({k: v[example_tid, 0, :] if k != \"energy\" else v\n", - " for k, v in pred.items()\n", - " if k in [\"expected\", \"total_unc\", \"grating\", \"grating_smooth\", \"energy\"]})" - ] - }, - { - "cell_type": "markdown", - "id": "6a9c996e-1462-45a3-a9af-7ccbcc37ad69", - "metadata": {}, - "source": [ - "## Further studies and validation\n", - "\n", - "The next items show methods to estimate the resolution and improve the results.\n", - "\n", - "They are not done by default, as they make further assumptions, which cannot always be applied. The code for such analyses is shown here, for reference, but one should be careful about how they are used." - ] - }, - { - "cell_type": "markdown", - "id": "eca3a06a-d613-4206-b128-6d81031de1d1", - "metadata": {}, - "source": [ - "### Resolution assessment using the auto-covariance\n", - "\n", - "We establish the resolution of the virtual spectrometer using the auto-covariance function, which estimates which level of detail can be observed in the test dataset.\n", - "\n", - "The auto-covariance function cannot assess which effect are physically relevant and which are simply noise. Therefore this method can only provide a rough estimate of the resolution. It is not expected to be very precise, but it can be used for a quick assessment.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "45fc52a4-5716-42b9-adbd-a307d16c0c34", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(-0.16367467274350672, 1.05)" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 720x576 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(10, 8))\n", - "R = {\"expected\": model.auto_corr_virt,\n", - " \"grating\": model.auto_corr_hr}\n", - "fwhm = {\"expected\": model.fwhm_virt,\n", - " \"grating\": model.fwhm_hr}\n", - "e = pred[\"energy\"] - np.mean(pred[\"energy\"])\n", - "for instr, title in {\"expected\": \"Virtual spectrometer\",\n", - " \"grating\": \"Grating spectometer\",\n", - " }.items():\n", - " plt.plot(e, R[instr], lw=2, label=f\"{title} (FWHM = {fwhm[instr]:.2f} eV)\")\n", - "\n", - "plt.legend(frameon=False)\n", - "plt.xlabel(\"Energy [eV]\")\n", - "plt.ylabel(\"Auto-covariance\")\n", - "plt.xlim((-3, 3))\n", - "plt.ylim((None, 1.05))" - ] - }, - { - "cell_type": "markdown", - "id": "ffd654f9-8175-45da-9ae1-09c184a7e520", - "metadata": {}, - "source": [ - "### Resolution assessment using deconvolution\n", - "\n", - "Here we attempt to establish the resolution of the virtual spectrometer using a deconvolution-based method. The idea here is that the virtual spectrometer can be seen as a *linear* device that somehow *worsens* the resolution of the grating spectrometer. Within the context of linear systems theory any such device can be modelled mathematically as a block that applies a convolution between a function $g$ and the grating spectrometer data.\n", - "\n", - "That is, if the grating spectrometer data is $y$ and the virtual spectrometer result is $\\hat{y}$, then we assume that there is a function $g$ such that:\n", - "\n", - "$\\hat{y} = y \\ast g + \\epsilon$,\n", - "\n", - "where $\\epsilon$ is zero-mean Gaussian noise.\n", - "\n", - "Under such an approach, one can calculate the function $g$ exactly: depending on the research area it may be referred to as the \"Green's function\" or the \"impulse response function\". It encodes mathematically how the virtual spectrometer would show a single well-resolved (in the limit of zero-width) peak measured by the grating spectrometer, assuming that the grating spectromter has perfect resolution. This is, of course, never exactly true, but this mathematical thought experiment tells us how much worse the virtual spectrometer does, when compared to the grating spectrometer." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "a1c5137f-fe6b-4930-aff5-90026ad5f3c3", - "metadata": {}, - "outputs": [], - "source": [ - "# centered energy axis\n", - "e = pred[\"energy\"] - np.mean(pred[\"energy\"])\n", - "# impulse response function g calculated by the model fit above\n", - "g = model.impulse_response" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "75d3ddc3-a4b6-4869-bc1c-f08320089845", - "metadata": {}, - "outputs": [], - "source": [ - "def fit_gaussian(x: np.ndarray, y: np.ndarray):\n", - " \"\"\"Fit Gaussian.\"\"\"\n", - " def gaussian(x, amp, cen, wid):\n", - " return amp * np.exp(-0.5 * (x-cen)**2 / (wid**2))\n", - " gmodel = lmfit.Model(gaussian)\n", - " result = gmodel.fit(y, x=x, cen=0.0, amp=1.0, wid=1.0)\n", - " return result.best_values[\"wid\"]*2.355, result" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "f9bbd13c-d972-4af1-a6c1-0fe12509317a", - "metadata": {}, - "outputs": [], - "source": [ - "width, result = fit_gaussian(e, np.absolute(g))" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "26641ed6-47cd-418d-ab3c-e63c83962387", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.legend.Legend at 0x2b0784541460>" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 720x576 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10, 8))\n", - "plt.plot(e, np.absolute(g), lw=2, label=\"Virtual spectrometer\")\n", - "plt.plot(e, result.best_fit, lw=2, label=f\"Gaussian fit, FWHM = {width:.2f} eV\")\n", - "plt.xlim(-3, 3)\n", - "plt.xlabel(\"Energy [eV]\")\n", - "plt.ylabel(\"Impulse response [a.u.]\")\n", - "plt.legend(frameon=False)" - ] - }, - { - "cell_type": "markdown", - "id": "00a1bdb9-b52a-4f8b-8c03-30407f486595", - "metadata": {}, - "source": [ - "Note that this response function does *not* tell us the resolution of the virtual spectrometer. It tells us how we can smear the grating spectrometer data to transform that data into the virtual spectrometer. That is, this is how much worse we do with the virtual spectrometer, relative to the grating spectrometer.\n", - "\n", - "As a result, if we approximate the response functions with Gaussians and assume that the previous autocorrelation function gives us an estimate of the grating spectrometer resolution, we can guess the total resolution as:\n", - "\n", - "$\\sigma_{total} = \\sqrt{\\sigma_{grating}^2 + \\sigma_{VIRT}^2}$\n", - "\n", - "The same relation is applies for the FWHM. This relation assumes independence between the two systems and assumes we can approximate the response functions as Gaussians." - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "2f466226-fbad-4f64-86d3-9b5d0685678b", - "metadata": {}, - "outputs": [], - "source": [ - "total_resolution = np.sqrt(fwhm[\"grating\"]**2 + width**2)" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "051d329e-3527-4ce1-abfe-6da441ce2e4b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.9812634092770942" - ] - }, - "execution_count": 29, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "total_resolution" - ] - }, - { - "cell_type": "markdown", - "id": "2c85f6fd-c2a5-419f-ae61-8fe77289cf7d", - "metadata": {}, - "source": [ - "The previously obtained resolution of the virtual spectrometer using the autocorrelation method was:" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "e8d3b2f8-09ba-4e9f-9b54-b48867dadc89", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.9825132876894322" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "fwhm[\"expected\"]" - ] - }, - { - "cell_type": "markdown", - "id": "efac989d-34e1-4378-abe1-b215bf58c05c", - "metadata": {}, - "source": [ - "Notice, however, that the response function is not Gaussian and therefore, one could use the full function. to actually simulate the virtual spectrometer.\n", - "\n", - "Furthermore, this ignores the uncertainty effect, which harms the capability of the virtual spectrometer to measure the intensity.\n" - ] - }, - { - "cell_type": "markdown", - "id": "dd1f6722-472f-488d-a0eb-e362732fd364", - "metadata": {}, - "source": [ - "### Validation: compare grating spectrometer and simulated virtual spectrometer\n", - "\n", - "To check that the resolution estimate is correct, we take an example grating spectrometer pulse and smear it by the impulse response function $g$ above. If it is correct, we should get a similar result as the virtual spectrometer itself. This, however, assumes this function is valid for all energy range, which is in general not true: the resolution response of the virtual spectrometer also varies with energy. The result shown here is therefore approximate.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "id": "36e25952-b295-43d1-bffc-d62dc1cd0a95", - "metadata": {}, - "outputs": [], - "source": [ - "# smearing\n", - "sigma = width/2.355 # convert FWHM to sigma\n", - "# create a Gaussian with the requested width\n", - "g_simple = np.exp(-0.5 * (pred[\"energy\"] - np.mean(pred[\"energy\"]))**2/(sigma**2))\n", - "g_simple /= np.sum(g_simple)\n", - "# smear the grating spectrometer data\n", - "y_simul = scipy.signal.fftconvolve(pred[\"grating\"], g_simple*np.ones_like(pred[\"grating\"]), mode=\"same\", axes=-1)" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "id": "e25f2828-fb32-4747-b7ea-24752c390625", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.legend.Legend at 0x2b07846c10a0>" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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a+0F4uwr4HBgNfBG4N3zavcBp4e0vAg9ZaxusteuBNcDCrmqfiPQxTaVgAz3dChGRLtEt9X9jzARgX+A9YLi1dis4oQ1ofn50NFDiuaw0vE9EBEJVzo+ISD/U5YHMGJMHPA5811rb0sQpiWb/ixvgZoy51BizxBizpHmuEBEZAGwthLr2qTQRkZ7SpYHMGJOOE8YesNb+K7x7uzFmZPj4SGBHeH8pMNZz+RggbnIVa+2d1toF1toFsctCiEg/FqoDW9fTreiXjjjiCJ5/PvoZqt/+9rd885vf5Omnn46as8nrtddea3WR69Y0TxvRnX7xi190+3t2xncl/VuXBTLjTIF7F/C5tfZWz6GngQvC2xcAT3n2n22MyTTGTASmAO93VftEpI+xdRBq6OlW9EvnnHNO3EzzDz30EOeccw6nnnoq11xzTdw1gUCgz4aMZIHMWhtZ/qeztee7CgQ0ZnIg6coK2cHA+cBRxpiPwj8nAbcAxxpjVgPHhl9jrf0MeARYDvwXuMJaG+zC9olIXxKqB9u+NfKkZaeffjrPPPNMZCHrDRs2sGXLFg455BDuuecevvWtbwFw4YUX8v3vf58jjzySs846iz//+c/cdtttzJ07lzfffJMLL7wwatmc5upXdXU1Rx99NPPmzWPWrFmR2eeTqamp4eSTT2bOnDnss88+kRneJ0yYwA9/+EMWLlzIwoULI0v/lJWV8ZWvfIX99tuP/fbbj7fffjvyvl//+teZNWsWs2fP5vHHH+eaa66hrq6OuXPncu6557JhwwamT5/ON7/5TebNm0dJSQk/+MEP2GeffZg1a1bkvV977TUOP/xwzjzzTKZOnco111zDAw88wMKFC5k1axZr165N2pYNGzbEfVfJ2nzDDTdw6aWXctxxxyVc81L6MWttn/2ZP3++FZEBYucvra15o6db0T2uvz71JSq/8Y3467/xjehzrr++1bc86aST7JNPPmmttfaXv/ylveqqq6y11t599932iiuusNZae8EFF9iTTz7ZBgKBcDOvt7/61a8i97jgggvso48+Gnmdm5trrbW2qanJVlRUWGutLSsrs5MnT7ahUCjqHK/HHnvMXnLJJZHX5eXl1lprx48fb2+66SZrrbX33nuvPfnkk6211p5zzjn2zTfftNZau3HjRjtt2jRrrbVXX321vfLKKyP32b17d9x7rl+/3hpj7KJFiyLvfcwxx9hAIGC3bdtmx44da7ds2WJfffVVW1hYaLds2WLr6+vtqFGj7HXXXWettfa3v/1t5H2StSX2u2rpvHnz5tna2tq470X6PmCJTZJpNFO/iPQNtgmsuiy7SnO35Re/+EUeeugh/v73vyc874wzzsDvb9sUkdZafvSjH/HGG2/g8/nYvHkz27dvZ8SIEQnPnzVrFldddRU//OEPOeWUUzj00EOj2tn85/e+9z0AXnrpJZYvXx45p7KykqqqKl566aWorthks6mPHz8+ss7mW2+9xTnnnIPf72f48OEcfvjhLF68mIKCAvbbbz9GjhwJwOTJkznuuOMi7X311VdbbEusls479dRTyc7OTthW6b8UyESk97MhsEEnlEmXOO200/j+97/PBx98QF1dXdKFvHNzc5PeIy0tLTIGy1pLY2Mj4CyYXVZWxtKlS0lPT2fChAnU1yfvfp46dSpLly7lueee49prr+W4446LLL7tDE8majsUCrFo0aK4EGOtjTo/Ge9nsi2sXpOZmRnZ9vl8kdc+ny8y3itZW2K1dF5L37H0X1qHRER6v+Yglkoga9zQpU3pFjfckGqHJdx5Z/z1d94Zfc4NN7T6lnl5eRxxxBFcdNFFkSpUa/Lz86OqPxMmTGDp0qUAPPXUUzQ1Of+8KioqGDZsGOnp6bz66qts3Lixxftu2bKFnJwczjvvPK666io++OCDyLHmMV0PP/wwBx54IADHHXccv//97yPnNC8sHrt/z549AKSnp0faFuuwww7j4YcfJhgMUlZWxhtvvMHChanPUZ6sLbHfVbLzZOBSIBORPiDFQGZD0Ph51zennzrnnHP4+OOPOfvss1M6/wtf+AJPPPFEZKD6N77xDV5//XUWLlzIe++9F6n0nHvuuSxZsoQFCxbwwAMPMG3atBbv++mnn7Jw4ULmzp3LzTffzE9+8pPIsYaGBvbff39uv/12brvtNgDuuOMOlixZwuzZs5kxYwZ//vOfAfjJT37Cnj172GeffZgzZ06kW/HSSy9l9uzZnHvuuXHv/aUvfYnZs2czZ84cjjrqKP7v//4vaddqIsnaEvtdJTtPBq4uW1y8O2hxcZEBIrgHdt8OmdOh4Kzk54WqofrZls+RPmvChAksWbKEIUOG9HRTRNqlpxYXFxHpHM1rWLZWIQvVaTZ/EemTNKhfRHq/FMaQrV8PabaBscWazb+/2rBhQ083QaTLqEImIn1A84zliQPZX/8KkybB+L1G89BjE7qtVSIinUWBTER6v0iXZfziHcEg/PjH4cPW8ONfHEwfHhorIgOUApmI9H6RLsv4tf0++gjKytzX6zYUE17FRkSkz1AgE5E+oDmIxVfIPv00/uxPPtaizCLStyiQiUjvF6mQxQeyzz6LP/3zz+PPk5aVl5dz+umnM23aNKZPn86iRYsAZ8LSAw44gLlz57JgwQLef/99AN5++21mz57NfvvtF1nku7y8nOOPP77F2e5FJDE9ZSkivV+kqzK+8uVZDjDi874+N2zZDZ17v6Gt3+/KK6/khBNO4LHHHqOxsZHa2loArr76aq6//npOPPFEnnvuOa6++mpee+01fvOb3/D444+zYcMG/vSnP/Gb3/yGn//85/zoRz9KabkiEYmmCpmI9AHJB/WvXx9/9urV+tXWFpWVlbzxxhtcfPHFAGRkZFBUVAQ460VWVlYCzhJIo0aNApzlh+rq6qitrSU9PZ21a9eyefNmDj/88KTvM2HCBHbu3AnAkiVLOOKIIwC44YYbuOiiizjiiCOYNGkSd9xxR+Saf/zjH5GZ888///zO/ugivYYqZCLS+0XmH4sPZJs3x5++eYsqNG2xbt06hg4dyte//nU+/vhj5s+fz+23305ubi6//e1vOf7447nqqqsIhUK88847AFx77bVceumlZGdnc99993HVVVfx85//vN1tWLFiBa+++ipVVVXsvffeXH755axatYqbb76Zt99+myFDhrB79+7O+sgivY7+GikivZ932gvP+KSqKggXb/D2km3b5ieoYWQpCwQCfPDBB1x++eV8+OGH5ObmcssttwDwpz/9idtuu42SkhJuu+22SBVt7ty5vPvuu7z66qusW7eOUaNGYa3lrLPO4rzzzmP79u1tasPJJ59MZmYmQ4YMYdiwYWzfvp1XXnmF008/PbJU0qBBgzr3g4v0IgpkItIHeMeOuUnLWx2bNAmGDHbGPQWDhjbmgQFtzJgxjBkzhv333x+A008/nQ8++ACAe++9ly9/+csAnHHGGZFB/c2stdx000389Kc/5Wc/+xk/+9nPOO+886K6HZulpaURCoUAqK+vjzqWmZkZ2fb7/QQCAay1Go8mA4YCmYj0ft75xzzjyEpL3d2jR8PokVWR14m6MiWxESNGMHbsWFauXAnAyy+/zIwZMwAYNWoUr7/+OgCvvPIKU6ZMibr23nvv5eSTT6a4uJja2lp8Ph8+ny/yUIDXhAkTWLp0KQCPP/54q+06+uijeeSRR9i1axeAuiylX9MYMhHp/aImhA0ATjVl61Z376hRkJdRycfLhgNOINtvv+5rYl/3u9/9jnPPPZfGxkYmTZrE3XffDcBf//pXrrzySgKBAFlZWdx5552Ra2pra7n33nt54YUXAPj+97/PV77yFTIyMnjwwQfj3uP666/n4osv5he/+EWkGteSmTNn8uMf/5jDDz8cv9/Pvvvuyz333MPTTz/NkiVLuPHGGzvp04v0PNOX54tZsGCBXbJkSU83Q0S6WtUTUP+xsz3o++AvAOC3v4Xvfc/Z/a0rQlTv+ph7HtoXcNa3vOSSHmiriEgSxpil1toFiY6pQiYivV9chcwR7skCYPDgEFnW7SYLz64gItInKJCJSB/gHUOWJJANaiIrVJfwmIhIb6dAJiK9n038lGV0hSxAdqg24TERkd5OgUxEej+buELm7ZYcPKiJ7IC6LEWkb1IgE5E+IJUuy0ZygqqQiUjfpEAmIr1fCl2WQwY1UBtwx5CpQiYifYkCmYj0fkm6LKMrZA1kN6lCJiJ9kwKZiPQB8dNe1NU5PwDp6ZCX20BWsVsh27MHgkHw+7uxmSIi7aSlk0Sk97NNnm0nkEU/YQnGNJGeHqKwwFkjMRSC8vJubKOISAcokIlI7xfVZemEM28gGzTI3T9kkJ60FJG+R4FMRPqA+EBWWenuKipy9xcXud2WqpCJSF+hQCYivZu1YEOeHfGBrKCASBWtML8hsr+iohvaJyLSCRTIRKSXa4p+maBCVlDgntc8hgwUyESk71AgE5HeLWoOMhIGssJC97zCAlXIRKTvUSATkd7Nplghs6qQiUjfpUAmIr1c6xWyqECmMWQi0gcpkIlI7xbXZelUwCor3CWUnDFkzV2WqpCJSN+jQCYivVtcl2U4kO3aENkV9ZSlxpCJSB+kQCYivVtchawObIjKisbIrqgKWb4qZCLS9yiQiUgvFxPIQvUQqqKyKiOyy6mQOV2Y3gqZJoYVkb5CgUxEere4ClkthMqprM6M7NIYMhHp6xTIRKSXiw1kIWjaQGVVTCBLUCFTIBORvkKBTER6NxuM31f/cYJA5gS3IlXIRKQPUiATkV4uEL8ruDs+kNFcIYsOZNZ2cfNERDqBApmI9G4JKmTBoKG6xg1keXnueZmZQTIynBAXCEB9fdzlIiK9jgKZiPRy8YGsyjOgPz8ffD7wVtLy89wpMaqru7JtIiKdQ4FMRHq32KcsIUF3JVGVtLxcN5BVVXVZy0REOo0CmYj0bgm6LBMGMk8lLT/PfdJSFTIR6QsUyESkl2u5QlZYiDNy31shy1GFTET6FgUyEendElXI4iaFjT5HY8hEpK9RIBORXi4+kFXXuMsmOU9YRlfRNIZMRPqatJ5ugIhIi7xhy1rYWUtdlYnsys2F2G5NjSETkb5GgUxEerlwheySR+G1tVDZQOaVd0SO5uQQ162pCpmI9DXqshSR3q05bNU2QaVT+crcVhY5nJMD8RUyjSETkb5FgUxEerfNO+DSx+Cl1ZFd/nI3ZalCJiL9gQKZiPRu67bCk59F7UqvdFNWbi5xg/o1hkxE+hoFMhHp3bbsjNuV6QlkTpelKmQi0rcpkIlI77YnPlFl1VRGtp0uS40hE5G+TYFMRHq3yvhElVNb4W5nW1QhE5G+ToFMRHq3ytq4XUOqSyPbublBsE1RxzWGTET6GgUyEendqurido2q3cQ0PgcgJzugmfpFpM9TIBOR3i1BIAM4k0eAcCCLnYcsV2PIRKRvUSATkd7NG8jGFwPwQc5CtjAKgJzsJlXIRKTP09JJItK7VXoC2a9PgcMmcs5B32bV2iEA5OY0orUsRaSvU4VMRHq36np3e1A2GENNbUZkV05OfIUsJ6cJYywAdXUQiD4sItLrqEImIr3bJQdCyU6oboDh+QDU1qVHDudkN8YtnWQM5OUFqKpyzqupgcLC7muyiEhbKZCJSO927r5xFbC4QEZ8CSwvtykSyKqrFchEpHdTIBORXi66+hX8cCvnNdzDGEp5jpPIysyCYHwgy89rYmt4WwP7RaS3UyATkd7LhsDaqF3BBz7hb9wJQEN6NsYcEzcxLDgVsmYa2C8ivZ0G9YtILxaM29MwuDiyPd5fCrYRiA9k+XnuPlXIRKS3U4VMRHqv9evga/dCfiZMGgQ3HEdd0SDyw4fHmM1OdSxhhUyTw4pI36FAJiK9V9kOeHuDsz17JAA1hYMjh0fb0qSBLD9Pk8OKSN+hLksR6b0qyt3t/EwAKvOHRnYND251uixVIRORPk6BTER6r6oKdzscyCpy3UA2NLAdgvUkHkOmCpmI9B0KZCLSe1XGB7LqUB67cQb2p9smKNuepELmLp9UU9O1zRQR6SgFMhHpvSriA1ltXTqbGe3u37wFQvElMGeNS4e6LEWkt1MgE5HeK0GFrKYmJpCVlkKonlgaQyYifYkCmYj0XpWeylees6B4XIVsy46El3q7LBXIRKS307QXItJ7VXsDmdtluZiDyaaOsTObOHTvvISX5uW4VTMFMhHp7VQhE5Heq9ozGj/XrZDdzUWcyz954fhvwYHjE16qCpmI9CUKZCLSe1V5klQ4kNXUZkR25WTHP13ZLC9XFTIR6TvUZSkivdeVF8IxOVDTCLOcmfpr69Ijh1sMZDmqkIlI39FlFTJjzN+NMTuMMcs8+24wxmw2xnwU/jnJc+xaY8waY8xKY8zxXdUuEelDDt4Xzp4LFy+ECc7cY7V1qVbI9JSliPQdXdlleQ9wQoL9t1lr54Z/ngMwxswAzgZmhq/5ozHG34VtE5E+IRi3p7Y+m2J2879czVGP/RZ+8EzCKxXIRKQv6bJAZq19A9id4ulfBB6y1jZYa9cDa4CFXdU2EekjbHwgq6nNJI0AV/MrJi96Ff69POGlCmQi0pf0xKD+bxljPgl3aRaH940GSjznlIb3iciAForbU1uXyW4GEWz+9bWnDhoCcedlZwcwxgJQVwfB+GwnItJrdHcg+xMwGZgLbAV+E95vEpxrE93AGHOpMWaJMWZJWVlZlzRSRHqJ2afB4X+Ck+6CRidR1dZlECSNLYxyzrHAlsq4S30+S26u+1rrWYpIb9atgcxau91aG7TWhoC/4nZLlgJjPaeOAbYkuced1toF1toFQ4cO7doGi0jPaWyE1Zvg8x3w4WZId35d1dY5D4dvxDP/WGlFojuQl+f+vU6BTER6s24NZMaYkZ6XXwKan8B8GjjbGJNpjJkITAHe7862iUgv4x34lZMBximk19Q4015EB7LyhLfwBjKNIxOR3qzL5iEzxjwIHAEMMcaUAtcDRxhj5uJ0MmwALgOw1n5mjHkEWA4EgCusTTCaV0QGjro6dzvHnXusts55ADsqkG0qT3iL3BwFMhHpG7oskFlrz0mw+64Wzr8ZuLmr2iMifUy9O9M+me6vquZAto5J7vH1exLeIi/PfShAgUxEejMtnSQivZM3kGV5AlmtE8hWMdU9vm5XwlsokIlIX6FAJiK9k7fLMsvpsgwGDQ0Nzq+tTYxzj2+rSniLvFx1WYpI36BAJiK9U4IuS+86llXZg9zjZdUQip8pRxUyEekrtLi4iPROCbosa2vdQObP9cMVh0NRFgzPdwKZL3pKw7xc99kgBTIR6c0UyESkd2qlQpaT3QRXH9HiLVKukNkmMOktnCAi0rXUZSkivVPUGDInkNXUZkR25eY0xl4RJy8vhQpZqBYqHwEbv0yTiEh3UYVMRHqnI46Af18H1WtgUA4AtfVZkcM52U2t3iKlLsuGj6FxNTSthYwpHWmxiEi7KZCJSO80dCgcNh0a3HFhtfUFke1OC2S1bzt/Nq5UIBORHqNAJiK9V0w3Yk1dfmQ7JzsIr6yB378NW6vghL3h+mOjzs/LC0S2EwayUA2EwgeCiSeXFRHpDgpkItKLBaJe1dbnRLZzcwNQ1QBvbXB2rNsdd3WrFbJgubsdSjyXmYhId9CgfhHpvWKWtK2ty41s52QHYYRbMWNbZdzl3gpZTU2i+3t2hjQvhoj0HAUyEemdrrsOxn0TZvwK/vYeALX12ZHDOTlBGOmOKWNrfIUrLzeFLstmtvWnNkVEuoq6LEWkd6quhqp6qAKanLFkNbXepyxDMDzPPX9HNQRD4Hf/npmb4w78bz2QBcBaMCbBiSIiXUsVMhHpnRJNDFufGdmVmxty9heHq2YhCztro27R6qB+Wxuzo/UnN0VEuoICmYj0TomWTqpzA1lOdvgJzKgqWXS3ZZ5n8tjEFbKYQGYVyESkZyiQiUjvlGCm/to6d6b+nJzwYuLDPAP7t0enrtyYMWQ2dv1xBTIR6SUUyESkd0rQZeldOimneQYMb4Vse3SFLCMjQEb4kmAQGhpi3sPWxbxWIBORnqFAJiK9U8IuS/c5pNzccLlrRPIKGTZEnievxXVb2piEpkAmIj1EgUxEeqeoLst08GVSW+uP7MrJCT8N2UKFDNoYyGImohUR6S6a9kJEeqfYLktfIbWeIV85ueFAdsxUGFPkBLNxxTE3CapCJiJ9ggKZiPROCQKZd7b9nJxwgX/SIOcnkdguy6oAkV971iYIZKqQiUjPUJeliPROsWPI/EVRFbLc3FR+fcVUyCq9T1U2JXjsUhUyEekZqpCJSO/0/LNQeis0BGBsEfiKo7ssc1IIZLEVssp6ILzcUih2/BiqkIlIj1EgE5HeaewoyBnqvk4bEjOGLCP6fGuhtilcTWsOa7FjyLwhLMHalRpDJiI9RIFMRHqpYPRL//DoMWTNgcz44cQ74dOt0BCEd78FkwaHz4qukNVUe+6ZcDFxVchEpGdoDJmI9E7e7kPjB19B9Biy/PBC4+njIRBywhjAHs90GTZIbq77srq1QKYKmYj0EAUyEel9rIU9u6CuyVk03JdPIGhoDGcoYyAzK7yoePp4KMp2r/UGsrguS88g/oSBTBUyEekZ6rIUkd6nvh6G7uVsZ6fB1r9FzRObkwPGFw5h/mEwKEkgsy0FsgSD+mO7SUVEuokqZCLS+8TNQVYUMwcZ4Mt0ujL9RTEVMu/UFrGBzLgvVCETkV5EgUxEeh9vOSwzDdKGxcxBFt4w2eArhGJPINvdUoXM8ysv4aB+VchEpGcokIlI7xNbIUsbEzMHWXgjbSiYTBiU4x4sb2EMWU0rgUwVMhHpIQpkItL7RM3Snw5pIxIHsvRJTrdlsSeQtTiGzO85liiQqUImIj1DgUxEep+oQJYNJj1+DBlA9v7On8We1LU7ZgxZbijyqrrG8xyT5iETkV5EgUxEep/YQAZJxpCFJ4cdlO8eLI+pkOW6c4tFB7JESyepQiYiPUOBTER6n6hA5kwAm7DLstmgAnc7dh6yXLcSpgqZiPRWmodMRHqfVipkcYFs7FB485vO05beJy5tbCDLcAbum7QkFTIFMhHpGQpkItL7JAhkCceQNcvIhL2HEi9RIGtIHsg07YWI9BB1WYpI7+MNZNlO+ko4hizCH7vDYRvJzmrAGBu+bTrBQDigqUImIr2IKmQi0vucfTYcNxj2vAJF5wKtdFmaZIEsgKGOvNxGqqozAaipbqRgEBBSIBOR3kMVMhHpfXw+yPY7SyIVjwBaCWT4nQXJd9bAklLYXuUeClWRm+PptqwKhy5bTzwFMhHpGQpkItI7NVerjPOUZYtjyIwfrnoGZvwaTroL/rvSPRaqjB5HVhVwprewTcRRhUxEeogCmYj0Ts2ByThdja1WyEZ5pr7YsMfdDlVFB7LqYJIB/aAKmYj0FAUyEel9tm6FFetgUzlUO+GpxUH9xg8TBrmvvYGsaVOCQJaouxJVyESkxyiQiUjvc+utsPC7sOB2+MtfgBQqZBOK3ZcbdrvbwT0xXZah5BUyG3TGonWGps2dcx8RGRAUyESkc3RWkIGEM/W3OobMWyFbvzuqPdEVMguhJBUyoNO6LWtf75z7iMiAoEAmIp2jaT0Ed7d+XiraunQSfhiUDfnOeDNqm6DMTXDRgayFChl0TrelbYKmNRCqa/1cEREUyESkswRKILC1c+4VNTFsC4uLNzN+MCam29IdRxZXIWsxkCV4+rKtmjaADUFA3ZYikhoFMhHpHIEdECjrnHvVeSpLKVXIwnNcRw3sd6t10WPIWglkHe2ytEGoesrZblzdsXuJyIChQCYinSO4C4LbOudebR5DFv5VlkqFrMaAbaErsaMVsoaPIFQd3v5YoUxEUqJAJiKdI7jbqZJ1hvaMIQOYGDOwPyx+UL/nZrE6OoasqcTdDtVD/dKO3U9EBgStZSkiHReqAdsIoUrn6UZjOna/VgJZ/OLingpZug/GFsEQ96ToQEYrgayDFbLA9ujXwZ0du5+IDAgKZCLScc1PV9oA2BoweR27X330GLJAABrDmcoYyMyMOb95cfEDxsOmH4M/uvgfHch8EIwJTVE6UCGzQQjGjKMLVrT/fiIyYKjLUkQ6LuiZGT9Y3vH7xQSy2O7K+AJc+FdZmi8ujEF0IKupTWu5a7UjFbLA9vguT9vUOU9uiki/pgqZiHScd3qHUDkwpmP3y86CvAxoCCUMZHGaK2TNPtkKz30OH2+Fk6aRO2lC5FB1TUbL792RMWSBjYn3h2rBX9j++4pIv6dAJiIdY5ug8XP3dbCy4/dc9Czs+QvkHgc5e1G7zj0UP34M4or9i0vg1jed7aF55M1yK2RV1bH9nbE6UM0K7kq8P1SjQCYiLVKXpYh0TMOK6BBmqzt+z+aljYxTzWq1QkZMhcz7tGVpOQX57rxjlVWtBLKOVMi8XbdR9/R8J+q+FJEEFMhEpGNi5x4LdUIgs82BLB1oZQ4ycOchazauyN3eVE5hvvvUZkWrgawDgSlU1fr+uvedWfxFRDwUyESkY2LXr+yMLsvmmfTbWyEb7eke3FxBYY57g/KKrFbWQe9AhSxZIPN+J4EtrTzlKSIDkQKZiHRMbCBLFkpSvl8Qnn8V3t4Aiz8DWpuDDOJ+lWWnw7Dw1BtBS9aePWRkOEErEPBTV5ee/P3bWyGzgeSLiXvnIgvtcbp5RUQ8NKhfRNrP2s4PZDU1cNr3ne3cR6H69LY/ZQnO5LA7wt2nJeUUFdSzY6cT0iqqMsnJSRK82juGLFST/FjQM81GsAJ8nbSigYj0G6qQiUj7hSrjK0q2sWMD46s9Y9DynHJYq2PIEv0qix1HVuAO7K+ozEr+/u2tkLUYyHY6c581rnPOC2xp33uISL+lQCYi7RdKMl6spaWJWpMgkLWrQhYXyDwD+ytbGtjf3i7LFgKZtVD7OjQsc14HK6D+w/a9j4j0SwpkItJ+yQKZTTKWKhVVni7P/HygHWPIwOmybFZSTmF+qhWy9nZZthJCGz6D+g88r5e1731EpF9KOobMGPN0CtfvttZe2HnNEZHebMMGuPdeGDECLr4Y0rq6QpYgkKX0lCXEB7LiFKe+iO2yrFsMmTPBl/CNPde1MYQ2rXe+p9buKyIDQkuD+qcDl7Rw3AB/6NzmiEhvtWsXHHAAbA/P2PDZZ3DHL5JVyBoT70+Ft0KW5wQy7xiy7OwE18TOQwYwbSh89xAnmE0ZSuGDboWsvKINY8ia1oC/CDKmtNzuZE9YJn2fkLPkVGv3FZEBoaVA9mNr7estXWyM+Vknt0dEeqk//MENYwB//jP8+DsNDE+0IpBtSLAzRVEVMufm3kCWuMsyQYVsZAH86OjIy6JnvWPIWghksWPImrZA+k6gleBk21EVbCpRIBMRoIUxZNbaR1q7OJVzRKTvsxbuvjt6X1MTPPz4sCQXdCCQRVXInGkqWh1DlqhCFiNqUH+qXZahBmcaj2RLInm1tUIG0JRkMXIRGXDaNajfGHNpZzdERHqvlSud8WOxXnl9aOILOtRl6ekGzY/vsky5QhYj9WkvPIP6QxXOn8HyVu/frgpZsKzt14hIv9TepyxNp7ZCRHq1l192t6dPd7dff2dU4mWIOlQh81SjwhWy1gNZChWyPDcwtTjtRVSFLBwOQ11UIQvVOlNgiMiA165AZq39S2c3RER6r/ffd7cvvRQGD3a2yyuy2bCpKP6CjgSywYUwczhMGOI8zkkKgSzRPGQAi0vgxLtgn99w3H23RHanPIasebLXlCpk7ZzqI7C1fdeJSL/S6tJJxpjrEu231t7Y+c0Rkd5o8WJ3e7/9YO5ct2r20bIRTBxfHn1BRwLZZV+Fs2ogfTQUfQNo50z9AD4DS0sBKMhxn0hoeQyZp7u1OZDZJmd/eLHzhNo71UdgK2ROa9+1ItJvpFIhq/H8BIETgQld2CYR6UWqqmBFeC1sn88JY3PmuMfXvpcOTcHoi2w97RYJc+4C4O2aGBai5iLL3uku8N3yGLIQ2PDn8Y4Laylw2WD7x81pGSURIYVAZq39jefnZuAIYHSXt0xEeoWPPiIyTmzmTCcQzZzpvP4Wv+OqP58Oc2+D5Z45MTpSIWsOc8YNZO3ushyaC9lOR0BadS374syU3+I8ZOCOIwulGsg6sDJBYFP7188UkX6jPWPIcoBJnd0QEemdli93t5srY1PCU2ddye3ORlkNXPgwNDZXljoSyMLXtiWQJftVZgxMGBR5+QHz+TenUFy+uZU2hAOSt0LWUugKVSc/1ppQg6pkItJ6IDPGfGqM+ST88xmwEpp/C4tIf/f55+72tPBQpylTYBC72Iu17sENe+Cu8Oj/UAe6LB99Fv75ITy5GMrLgQ5UyABmjoh6eTzP46uqI/Svz6KrelHC3Y/eJydb6oYNVSU/5vXyavjSvXDbGxDyPJ6qQCYy4LU6qB84xbMdALZb297Vd0Wkr2kePwbulBfDh8Ok7BK21o1gJNvcEx77BC4/sGMVsl/8DVaEJ0z99AJCBUUprGXZwt8tZ41w2hWWToDFdiH8P+D7h8GM4fHXRCpk3kDWwmdKpULWFIRvPQm7auHtDTB7JBwdLjUGdrR+vYj0a6mMIdvo+dmsMCYysHgrZM2BzBgIThnDKLYymlL3hGXboKaxY4P6qz3pKy+Pes+tMjPBn6gY1lKF7LDoERZ/4JvuixVJglBz+PJWyFqq+qVSIVu7ywljzT7zVOeCO+PPF5EBpb0z9T/T2Q0Rkd6nuho2bXK2/X6YPNk9NmXiLgC2MJry4eHnfCywemf4qcN2DlT3BrKCghTGj4UlWz5p5nC49Qtw8ARuG3M9d3Gxe+yTrdFdh82an5j0BssWK2QpBLJpw+Cm493XqzwhLLir9etFpF9r70z93+jUVohIr7Rypbu9116Q0TwNl7VMHOcGiu35490TS8rD57Sj29JaqPQEsvz81ANZS7/OzpsHT1zAi3ufy3JmUImzJBOlFfDM8vjzbUN8qOxolyXAnFHu9gsr3TAYqu3YuDsR6fPaO1O/ppYWGQASjR8DwNYwfoy7nFCJb5x7bFO582d7AkZtrRtSsjMhPb0NFbLW17McMqiWBrL4E5e7O+98L/5E2xDf7drSPGOpBrKFY2FweBBceT2s9KxlGdyd2j1EpF9K5SnLKcaYx4wxy40x65p/uqNxItKzEj1hCUCwnIVbXuRQ3mAsm9jY6JmacE+4wtWeClmlZ2Hxgvh1LBMP6G/W+t8vBw9y2vZbvuvu/GAzbIvpcgwlCmQtVchqkh/zMgbmeb6rw/8E9eFhuamslyki/VYqT1neDVwP3AYcCXwdLS4uMiB4uyyjAllgD/v+8Y+8wR0AHGY/5uJPLRRmQ1b410p7AlmFZ6HtfCeQtT5Lf7MUAlmxM0h/GyPZMHIWE7Z+CoEQvLgKzp/vnmjr4hcLb6lCZlsJZG+sgzfXO+PZJg6KPnb7m/DDIyGoQCYykKXSZZltrX0ZMOEnLW8AjmrtImPM340xO4wxyzz7BhljXjTGrA7/Wew5dq0xZo0xZqUx5vjEdxWR7rTWM81Y82SwAGzfhK/JqezsoYjF26djh+W7YQw6oULmjPPq7C7LZktGHukeWFIafWKoNnpSWEj+eWzQqai15MXVcPtbcOnjkO6HPM+amA9+5HTTqstSZEBLJZDVG2N8wGpjzLeMMV8ChqVw3T3ACTH7rgFettZOAV4Ov8YYMwM4G5gZvuaPxqTw21VEuoy10YHM+4QlpevdTcZQX59O2c6YtNThQFYAtCGQtaHLEuCDjIXugcUl0SfamtQrZKksm+SdgHa/sbDyancs2fYqWFWmLkuRAS6VLsvv4iyX9B3g5zjdlhe0dpG19g1jzISY3V/EWQsT4F7gNeCH4f0PWWsbgPXGmDXAQmBRCu0TkS6wa5ebj3JzYZj3r2ElGyObpYwBYNPmQoYN9aSndnVZeqpEbQ5kSf4O58uKPGDgrZAttgsg3QdNIchIc5Z9ygjfI1QTP1A/WSCLDW6xrHXmZ2u2zwinSnb3WVCQCZMHQ2Za6rP9i0i/1Gogs9YuDm9W44wf64jhzU9oWmu3GmOaf8WPBt71nFeKFjAX6VGx1THjHTla6i71U8JYDCG2f2YhpwyqG52B6+0JZEMK4aRpUNUQWTgz5UH9ieYhMwb8IyC0AXDHkAFsKS+G/cfBkFz4wgz4n3/Dzho4dQacVwihyuh7Ja2QtfI06dYq2BN+34JMGFvobB8wLvq8VB8MEJF+KWkgM8bcEB4vllQq56Qo0UMCCWZrBGPMpcClAOPGjUt0ioh0gnWeZ6knTYo5uNmt+JQyhhxqOfl7/8/ZkZ0GG3/cvkB28By45yxne/DVQAcH9Zts8OVFXnq7LHftzoHHvgLDcuFPi+Dhj50DkwY51bFgzCz+7e2y3OTpipwyJCbZeu9TDzaUfIJbEenXWqqQXWKMqWzhuMEZ93VDG95vuzFmZLg6NhJo/o1XCoz1nDcGSLjarrX2TuBOgAULFiQMbSLScUnHj9kAbHEnhS1lDDXkEvClkRYKQF0A6pogqx3zkIU86cs4A987NKjfpIPJjLz0Vsh27cnGDstz8tFQN7RRVuMM1G9cT7QkKw+0NqB/s+fX6KjC5OdZ6wRBf0HL9xORfqmlv4r9Fchv4ScvfE5bPI07/uwC4CnP/rONMZnGmInAFOD9Nt5bRDpR0kAW3AVb3JDhjCEzVKV7wkZFfTtn6g8HMuMH4/x9sUOD+k06+NxAlpUVIDfHqXQFAn4qKrOcA0M9N96ZpOvQ2sTLQbXWZbnOsyzSqJiw1RSEjXucxcYbgxAqb/leItJvJa2QWWt/1pEbG2MexBnAP8QYU4ozl9ktwCPGmIuBTcAZ4ff6zBjzCLAcCABXWGuDHXl/EemYpIGsqSRBIINyM4hiwuFjTx2Mb8dals3jqIw7LUTHnrKMrpABDB9azbqNzlxg23bkUVRY74wja1bWwlgu2+iEvKh9LQSyqgb41evu6zkjo48f+Ht3ZYNF34LB5ZCuoRgiA1EqT1m2i7X2nCSHjk5y/s3AzV3VHhFpm4RjyGwj1C2BrfGBrCw4mImsdnaW17U8kWoy9/0LViyCgkI498swZUobBvUn6bKMefpy1IiqSCDbuj2PaVN2RndZJquQQfgzxU7v0UIge/ST6Nf7jY1+ParADWQl5TA7xSWYRKTf6bJAJiJ9V10dbN7sbPv9lvEjPofgaGege1UJHDoRtlRiKxqo3pwPFrY1DXVvsKcucfdea/71Cjy/xNme9w2YMqWDg/rT4ypaI4e7oWfr9vAi44M9SW9XLQRD4E9wv0SfqaU1O4+Y5HxXb66HYXkwrij6+JginM4CnIXOrQKZyEDVaiAzxgyy1moKaZEBZL1nPPu4MVWkNzwN5gBoWgs56fDAVwHnyZ6RcxrZsjWT3XiWBGpvhazKE0g6Yx4ykx4Zi9Zs5HA34W3ZFg5kaT5nSorK8Li3inoYlKAcl+gztVQhmzDImd6iONtZHin2CcuxnnF3peWpL1IuIv1OKhWy94wxH+Gsafkfa62ebBTp57zjxyaN2+lUgerfTVgNGjfOsmUr0YGsvRWyyg4EsoTTRaQT+2tu1Eg3VG3d7umqLMp2A1l5XccC2V3vO0sinbg3XHV48qkuxngCWUmFJocVGcBSmfBmKs40E+cDa4wxvzDGTO3aZolIT/KOH5s8IVwgT9I1N3as82ukUypk1Z45vQqdsNKxpyzT4itkI0OR7S3NXZbgVLGalSepeiV8yjLmadKScvjRf+CTrfDqWnhrQ/Imjylyt0srINjSTEMi0p+1Gsis48XwIP1LcKareN8Y87ox5sAub6GIdLuoJywntLDGokln3DhnjFZ8haw9XZaeQJagQtbioP5kgSyuQhaIbG/1BrJCbyBLMtlros8Uu3TSt590p7UeVQALxkQfz5rjbsd1WVY402uIyICTyhiywcB5OBWy7cC3ceYNmws8CkzswvaJSA+IDmQxQ0gf/cR5ynJUARw+n7HjnO643QyiyZdB+rBMyE53qkltmXneNjrTRDQLB7KUB/UnfB9/ggqZN5B5uiwvmA8nTHW6LmcMT/ImibosPYHs92/DO+46nzz5Gdx5uvs6bRjkHAP14VUBRnsC2ZZKaGp0Qpm/KMn7i0h/lcoYskXAfcBp1tpSz/4lxpg/d02zRKQnrV0borniNCm2QvbQR85TgwCPTWJseCaHhzmL6qPn8cwD/3TPtY1gslJ707rdzuSoABnpkOnMH9bxLsvopyxHj3KnOCzZUoi14SFeX5jRehtjuyytdQNZyMIfF0Ufv/es6Nfp48Gf78yzZhud4DokB3bWQtDCtioYtFmBTGQASuWvrj+x1v7cG8aMMc0Tuv5vl7VMRHpEKATr17uD0OO6LD1zkDFmLO6SsoaSzTEz0bdltv7y7e52gds3We0Z59/mpyxJi9tfVOyjqMgJVnV16WzfkZfguiRiuyxtndvF+PmO6DnMHvwqnDgtponhbl3/YHeft0q2tRKaNqTeHhHpN1IJZNck2HdtZzdERHqHzZuhsdEJZEMG11CQ7wlV1kbN0s+YiZEKGTgVpyhtCWQV7vqY5DshqbHR+QHw+SA7O8F1zRJ1WRp//Mz6ZDBpghus1m0sTr2NsYEs5Alg729yt0+ZDkdPib/eF/5+MvZy943Idx4omD7MqZIFEi7jKyL9XNIuS2PMicBJwGhjzB2eQwU4yxuJSD/knYNs0viY6lhFPdSGu+1y0qF4BEOzICPDCU57yrOprs4gLy8cXNoUyDxrPhY4gcxbHcvPTz57hCO1pywxGUya2MgHHznltvWbijhoYUn0OSELvgRvFhfIPA1833OPhTEz8keaGK4gpo1yqmS+fLj37Oj3CpYnvlZE+rWWxpBtAZYApwJLPfurgO91ZaNEpOds2OBuTxhbHn3QWx0bVQD+Anw+GDvWeRDgABax57FN5OXugC/t07YnLYuz4PIDoboBxh0AQJVnWq78/CTXRSQq+Mc/ZYnJYOIE9++UkQrZzhr4zlOwNhwM3/t2/O3ixpB5KmSLvYEsyXqUvvCHyJgM6ROchdqb/hZzz1qwgfggKSL9WkuLi38MfGyMecBaq4qYyADRYiDzjh8bVQg+p5LVHMie4ySKrw5fc9ReMKgNgWxsMfzsOGe78GtAdCDLa22oV6pdliadSZPcgf2RQJafCa+scapjBqgPQFbMr8i4Clm4gdY661QOy3NC6z4jErTFRL4vTIbzHmaEs9871YW1ENwDaUPj7yEi/VZLXZaPWGvPBD40xngnxjE405PN7vLWiUi32+iZtSEukG2OqZCFA0bzwP5yiigmfE1FfdsqZN7pI8JPZsZ2WbYsyaD+uC7LdCZNdCeHXbM+PNA+Mw3GF8P63c48Yhc9ApX1zqD7X50MBVlRn+fNN+Hqq6bT1DCem699meP/9OWWm2ey4xdAN2ngK4ZgzNQioXJAgUxkIGmpJn5l+M9TuqMhItI7RFXIxpVHH1xd5m6PL4qqkAHsoZiJhG9Q0cbJYUOeCcd8zpQXHe6yNH4SdVlOn+7+HXPZimHu1BeHTXQCGcBLq8NnlDgTuP7kmMiYuDVr4KSToLq6CCjiS18/m6Uv/oXpU3eSlC/JI6JNefDOUtheDU1BOHsuBCta+7Ai0s8kfcrSWrs1vLkTKLHWbgQygTk448tEpB/yBrLxY2KCwfId7vbM8ZHqkzeQRbS1QuYNZOEKWZsCWdKJYU10lcykM2aMoajQqciVV2RTuiU82D52mopmf18MNY2RQPbzn0dX7+rq0rnljkNaaV+SZQYq/fDlf8Dl/4KfvejsC4W/d+93IiL9WirTXrwBZBljRgMvA18H7unKRolIzwgGoaTErR6NH1PuHrQWlnvmCpvlTuvQ3GXZoUB234vw/x6HHzwDb7wHtHEMWdKlk4gJZBkYXwazZ7if5ZPl4Zn5j5wMU4ZE32PuKPjXBeHVBxrZvBn++U/iPPL0TKqqM1poXpJANmKs+5TlrlpnctzgTgg1QOUDye8nIv1KKoHMWGtrgS8Dv7PWfglIYUprEelrtm6FpiYnHAwdUkNuruepwpCFHx4JFy6AQyfCBHfVtOYKWTlF7vltXWB88Ur41zK4dymsdLoL2zaGLEmFDIjutkwHk8as6W6179PPw4HMGHjjcjhzDgzJhW8fDC98wwllPgO2gccfh0D4MadD9t/IPtO3cxYP8cP6m9lwwypY55m+wytZhSy9CIZ6ujN3VDuTwzYuh6bN8Wtliki/lMpz1Sa8iPi5wMVtuE5E+pgWn7D0+5ww1iytKLLZKV2WFZ70VehMoNq2LssEg/qb98V0WWL8zJm5LbLrvaWj3eN+H/z+tMTvYRt4+mn35Xmnf8K6jcUs+PxxzuAx+Adw8Fdg0uD4a31JZrX15cHwfGcMGfB/P5nF8Vc1MGf2K87xwOboiWRFpF9KpUJ2Jc7M/E9Yaz8zxkwCXu3aZolIT4geP1be8sk+NyEVFkJBQbD9gcwGocIzXqqoCOiMecj8MX/iTDlBGofs786s/8a74wmFWpx1FoDy8nRef93t0j3luFUcdch6huJ52GFQkkpYsgqZyXNm6w9b9Fwxh3zhIjZtCn+eppLE14lIv9JqILPWvmGtPbV53Upr7Tpr7Xe6vmki0t1anPIili963copewWiuywr6oFUA1mdM8VEs3ZVyFIdQ+Z0WU6bspNhQ5yq1O49OSz7fFjL999aybv3+AkEnOC2YF4to0dWsWDulqhA1lSYZLBbCxWy8ix33NootlBdk8kvbw8/JBDYmvg6EelXWg1kxpipxpg7jTEvGGNeaf7pjsaJSPdqscsyVkwgmzo11P4KWagmYSDzjiFrfVB/onnIYrosm5+4NGkYn+GIgzdEznzx9UmJb7tsGxzwO5hzG+P//FBk96knO2PQBg+qY7jPHY+2ck+SWfrDT47G8eXyYZn7gMSo8EPsDz25D01NPmeAv4j0e6l0WT4KfAj8BPiB50dE+pmkc5BVNcC+t8EZ97lTM/hjAtkU2MpIPmMGG0buA5MHxS81lEyoFio96152VpeliRnUb7xPQaZx/JFrI68eeXpm4tvmpMM6Z26yvN1uJezUE8LXhizFIXdi18Wbkoz3MplJ9vt5e/OsyMvJOPctr8jmzXfHO5PE2lDia0Wk30glkAWstX+y1r5vrV3a/NPlLRORbpd0DrJVZc4s/a+vg5fDE6bGVcgMr3ME+/AZ39/3EbjmqDaMIeuiLktiuyw9yyiZNE47cQXp6c4ySu9/MIa164uJM6owsjnSbsFPgPHjYfa0z52d5XX4cQJTOYV8vHpMkvYlDmR1dfD85v0jrw8q+CCy/cai8U4YC9UkulRE+pFUAtm/jTHfNMaMNMYMav7p8paJSLcKhWCTO86d8d4uy9WebrMpQ505tWLWiJy6tztOa9W68FOGqVbI6sqdtSPBecoxxxkA37YKWQpPWUa1OY1BxXUcf+SayJ7f3bU/cbLSItNSpBFkFFs49QsNmOauxF3uwwhlDGXlmgRPWELSQLZ0KXwSdCtko2vX48f5Lt77IPz0p1UgE+nvUglkF+B0Ub4DLA3/LOnKRolI99u2DRrDBa3Bg2rJz/NUt1Z5niKcMgT88X8nmzLVDWRr1g8iGDSpV8jKPYGvMDe8jlFbx5C19JRlOIh5Q1E4nF1x0eLIrr/dP4895fFjveyYosj2eDZy6omeJx93uWGpjKGsWBMzsWzk/RIHskWLoJJC3uFAPhl5MJVnHUY2ztxj73842ll3PFSV8FoR6T9SecpyYoKfJKNfRaSvSjqgv7oRnvzMfb33UPDHV4EKC2H4MCdBNTSksam0MPUKWYVnMlXPU4odf8oytkLmGUMW3nf8kWuYNd2Ztb+mNiPhEkjlecMj29Nz1nD4fm+7B3e6FbKdDGFjSRG1tdHVQyCyPmesjz92/jyYd3jne9dQdOuhZBQ77d69J8dZ/DxYnvBaEek/UnnKMscY8xNjzJ3h11OMMVpwXKSf8U55ETUH2T+WQGl4PNmgbDhqL/AlGGsFTJ+6hzN4hG/xO+p/8TbUpbgWY1E6/PJE+PFRcPlXIrs73GUZecqyuULmDWTOPmPgR999M7L7t3ceEDeWbFmN+xTksZM+IJ317sGdboVsB8Ow1rB6XUwF0fhjHihwff65uz1z2g6MgQVz3OWCP10+3F3bUkT6rVS6LO/GmUzooPDrUuCmLmuRiPSI6EDmCQBvbXC3f3AEFGaBP3Eg23fWLm7l+/yO7zD9icecsJJKlaw4DS5eCFceClecHdndoacsjS/S9ZkwkHkWHDnrtGUcuMDphmxsTOM7Pz7R6SoEAgEfL67ZN3LugiGeBAUwfRhcdgCvjfwCb3MwQHy3pUk8B1koFB3IZkx1uoZn7u12ES9fNVRdliIDQCqBbLK19v+AJgBrbR3Q+pTWItKnlJa622NHhwNZyMISz3ipI8NTOviLEt5j3pzd0XORldelFsi86zWGQ1NTEzSEZ8Lw+SA7ybyq7nWxv868FbNEXZZut6IxcPvN/4m8fu6lqdz1wLzw9hSWV06OHBufuTn6bfYfBz8/nqdOvZZ7+DoA6zfFBNYkk8Ju3Og8ZQkwbEg1gwc5L+aM38gwnG5UJ5BVJ7xeRPqPVAJZozEmG7AAxpjJQEPLl4hIX+MNZGNGVTobn2yF8vB0FENyYGI4aPiKEt5j3pzy6Nn6K1OcHNZ6ujbDoSl2QL9p9a+BMV2W3rUtTaJB/dFL8u637xa+8413I6+/+5MTeOf9sVz3v0eyHXcMmW9n4nA00TNv2/qNRTFtSRzIoqpje5fBf1fCYX/kaz/+Kj/l5wAsX6lAJjIQpBLIbgD+C4w1xjwAvAz8sCsbJSLdLyqQjQwHsvvdObFYMDY8070/bg6yZntPrafS787btWONL7VAFvLMQRYOZBWeXtPCQlrXUoUsYZdl/MD7W37yEtOmON2FNbUZHHzKxXz82Qi2MQIAaww0BRO+/cRxeyLbqVbIVq1yt6fttRMy/LCiDGMt++E8/blizRCCTSmOxRORPiuVpyxfAL4MXAg8CCyw1mpxcZF+JmGFbOoQmDPS2T5jtvOnf1DScpU/LZ2MIW7oWbk0L7VA9o834cS74Mz74eH/AlBe7h5OKZDFjSFrW4UMIDs7wGN3PcKg4ugAtJ6J3PmDBzCbfwIvXZrw3SeNdwPZuo0xgSxJhWzdOnd78oQ9MHNE5PV0swKwNDSksXFTOpFBbSLSL6XylOXL1tpd1tpnrbXPWGt3GmNe7o7GiUj3aGyEHeHlGI2xjAhPX8GlB8CLl8LH34OTpjn7Ekx5EWEyGDTeDQ4blmW2HshsE6wrg6Wl8Npa2LQNiK6QhVdSakXsU5be18mfsow1c1oZrz1xDwvmOmPFsrOb+Nm1r/ONq1ZBWoJfmV9/BL71JFPue4iM8GiOTZsLnXnYIu/VeiCbOG4PDMuFPKeNBbaSkTgLi6/bUBTdrSsi/U78XxHDjDFZQA4wxBhTjDuQvwAY1Q1tE5FusnWrW4AZMaya9PSYtRNHeroo/UkmPgUw6Yzauwned15uW51GY0MjGYlnfHCE6p21MpsVFAHtqJDFdllGVcgyo/8MtzWZWTN2sPiFv7Jrdza5OU1kZQUSn9gQgGedgWAZfkPx4Aa278qkqcnP5q0FjGt+WjVJl+V6z+wZkybscSqP+4yAd50lEw5kEf/iK6zdUMwxoRrw5SZts4j0bS1VyC7DmZV/Gu4M/UuBp4A/dH3TRKS7JOyuTCbBLP0RJoPhU90xVln11fznv/Ez30ex9VDlqaIVOffveIXM8/fN5spYK2PI3FsNBn8xgwfVJQ9jEDUHGYNzmTDB/e7WbyryvH9O3KXWRgeyiePD1+4/LrLvcF4Hwl2gIVXIRPqzpIHMWnu7tXYicJW1dpJnlv451trfd2MbRaSLeQPZPoPWwi9fgZdWO9NWxPK1HMh8RW4AK2YPf/17UctvbuugyjOov8AZf9W5Y8iaK2SecNhChYy0IZA2InpfeR0s3+50q5aEG1fmCWRDc5MP7PfFB7Lt290pL4qLoago3N4D3ED2HX5HFnWs3TDI+Z5EpN9K2mXZzFr7O2PMQcAE7/nW2n90YbtEpBt5A9l+aUvhtvDM9fuPg39/PfrkVsaQUeiGniLKefa/RSxZAgsWJLkmVBfdZVno3L/NFTLTwhiy5sqYt+uwpUBmsqPDG8BNL8M/ljrbvzzRmcjWWyEbkpt86osEXY1R48cmhtsWqnKeZvU4gf+ybuMBYLcgIv1XKoP67wN+DRwC7Bf+SfarVUT6oM2euU6nWs9cDFNjxov5MsHfwpT5Jh3GFMKxU3hzzCm8xDEAXH99C29uY8aQhbsse7RCZrLBH/Omwzyrm+8IP/RQ5pkfbGheVIUs6klLX/zK6FHjxybhdmsWZsFod8zeAbzL2g3F2KAqZCL9WasVMpzwNcNaPXMt0l9FzdJf552LIaYa5mtt/aIMZ1D6A19l0Iqh3HH4N8HCc8/BW2/BIfHrdoe7LL2D+p0w0qkVMl84iKUayHxZ8XOteQPZ9vBSRnFdluWRl9FdlvHztnkrZJMmER3abjrBeXoTZ2B/ZVUWu3YGGaIx/SL9VioTwy4DRrR6loj0Wd5ANrR8k/tir9gKWSuBzDNofua0Ms79yieR19dck2QqLduQMJB1vELmHdSfHg5Z3m7IlipkWfGfdbg3kDVXyGK7LN0K2YaSonCzchKGv6gB/ROJ7tZcMAYmD+apwjP5OxcBsG59osXTRaS/SCWQDQGWG2OeN8Y83fzT1Q0Tke5TWuompfxtW90DbQ5k0cHjxh++GplC4+23nUpZnGA3VMgA/ENbbGv0scz4qtZwz2ffkSCQDc1l7OhKjHG+yy3b8mlo8CfsroRWKmTD82HRt7jrgBu5lwsBKClRIBPpz1JdOuk04BfAbzw/ItIPBIOwJTxePJ9K0srCSSjdB+OKok9OEi4iTPSEYxPHl/P/LlodeX3HHQmuqa2CQHjes8w0yHTGe7W9QkbMuLGYAJMWM31iq4Espn8wYYXMO4Ysl4yMYGTaEGsNJZsLk4bYDRvc7QkTSNitOW60m0o3lbQ0mZuI9HWpPGX5enc0RER6xvbtRGaVX1j4MTRngImD4memT7XL8s+LYHMlVNTzgyvG8/s798ZaePFFp6tu4kTPNWkBePCrUNkAwaLI7rbPQwbO3zGb50GLCWQ5h8W0tZVAZtKdz9O80sBQTyDbWQPBUPRTluHjE8aWO0EMZy6yvWbEh9imJigpcV+PHw+YVgJZaWbccRHpP1qaqb8KSDTiwwDWWpt4dWER6VO8T1guzPvEDWSTE8zIn2RR8YjmQHbvUli7C4Cx393E8cfDf//rjCF7+GFnPFlEWhCOnuJsZ0yN7G53hcw2udtRbY+peJkWKk7NT2X6ciEYDmQZfhiUDbvrIGSdMHbtUVBa7nRdjnEaOWFsOW++Ox4IjyNLMEt/aSmEwkXBUaPCRcFAfHCLzPQPbCqJn8tMRPqPpIHMWtva41Qi0g94B/TPyljuvpiSYL6xVMeQeSaHZU8FX/2qE8gAnnwyJpB517oMhyRrYfdud/egFuaijWmgZ7u1MVetVMjAGZAfdAfqMzzfCWTgjCM7Ye+4S+MG9idYxDyuuxLiu4PX7OTQ//6Vh3mEVUzlqdJvJW+viPR5qYwhE5F+zBvIpoQ8c5DFDuiH1CtkhZ6q0J4KTj4Z/OF89N577pg1wHnKMnK9E4QqKpyxbQC5uZFhZSnwjiFrZURGa12WACamquad+mJrVcJLJ8ROfZFg3F3iQJYdXdUrq2H0Ey9wJo9yNC+zabP+jizSnymQiQxwpSXuQuJbZ8yFM+fA/NEwbVj8ya0O6k93Fsj2zNZPRRWDBsGhh7q7XnnFc01UIHMC3a5d7q7BLSwMEP/+baiQtdRl6fN0WXqNK3JC2f7jnC7MBCaMLY9sb9hUlHCW/oSBDKLXCR3t9tOOZyM7ynIjSy2JSP+TysSwItKPlZY2AU4A2XXiwXB2ktlHfdmtV50ASI8OZOXVYEMcdZSP115zdr3+Opx3Xvj4Q4vg+mehIBPO3gg3H9/+QEYLT1nGMj7n89iYxcONIdKdGRum/u9k+M0XWrytd3JYZwxZddw53kAW9YCDfwQEypztkfngNxC0jGIrWdRRWpLOlKn6tS3SH6lCJjLAbd7sPrszekRl8hNbq441MxnRY8jK68A2cMQR7q7Xvc9u7650Bsiv2w3lzlOL7a+QeUNYCvN2JaqSmYxwKCO+i9bv+ZX55DI48Pdw2j3wt/ciu8eMqsTvd6qOW7fnU98QH3C9k8JGVcjShkHm3uAvhnQ/jC2KHJrEOjZtbGr9M4lIn6RAJjLAlZaayHbzHFoJ+ROMKUvEZECBt8uyHmwDCxdCVnj36tXhcWQ2ABWefrjw45TeQDYkxbd1eH6ltVYha25r3D7PgLWWxsyVVDhPkr6zETaVR3anpYWivseNJW3oskyfCFn7Q8Y05/VEtwtzL9awaVMQEemfFMhEBjBroXSzO7i95UA2PLWbmgwo8gzqDweyzEw44AB395tvEl5YvN7dWeAEsp073V09UiFr1tJTpTs8g/qHRVcPo5603BjdjsZGd6oRY2DsWM/B9DGQMQnSwzsnuOthOoFMSwqL9FcKZCID2K5d0NDg/Br4ZcaPyb/iPrjlVVizM/7ktDZUyKLGkNVDyKmCHXywu3vxYiBU70wI26wgvkLW/jFkKYy1ak+FbNk2eOAD+IvbTdk8B1mzqIH9G6IvTzgHWax0Zx4zxrmBbDwb2bTJJDhZRPoDBTKRAcw75cUJvufhPyvg1jegtCL+5Ni1IJMxmTEVsjqwTiBbsMDdvXgxzn5vICtyAkinBLJ2V8i8gSwv5slN4Fevw/f+Hb1v1siol96B/d7xYtBCd6WXL9d5iGK0GwjHUKpAJtKP6XEdkQHMDWSWqU0r3APTY6a8ML62jSEbXwzfWOiMJZs8OBLI9tvPPe2DDyAYqMfvXVi8sIOBrKW1LJO1NW6fJ5AZ48xFZj3dk7NGOMG1WW5G1FgvaLlCllIgA2cKjJFuIBtLCZtK9CtbpL/Sf90iA1jzWKZB7CYnGF6XMTcjbkwUvqLUAg44gWZcEdx8orsvVAs4XXQjRsC2bVBdDStXhJjhHUNW6ASbThnU3xkVMnCqZCFPIDtkAvyf5/jCseCLrlx5J4eNDWTr1nnOm9BC23zFUXORjaWE0s1pWOs+BCoi/Ye6LEUGsNISZxqFkWx1d47Mj/8/vj/ltYsSz4BvndBlTHSVbPGS9JguS+d9tm93dw1NsafUeYO2VsgSDOAyWdGvvQP7fXkwbwwM8awrefmB0ef7C5k4wV0OKrbLcvVqd3vKlBba5h8Cw/Ow3zuUb2f8gQu5h9paf9QanyLSfyiQiQxgpSVOGBqNZ4XxEQmeLGxTIEsQcqxbBfOOI1vyQSZUeitkTv/kVm8+jB6e1YrOGEMWE8j84SqVMVBwljND/71nwzlz4fZT4YjJ0efnHseo6eeRHs6lO3ZAlafAtsqzOlWLgSxtJKT7MdcexQtjz+R5TgCiF4MXkf5DgUxkACstdR7324s17s4xRfEn+tswkCtRyAm5c41FVciW5oJ3DFnREBob3S5Lnw+GJVjBKfl7d8JTlr7YLsvwk45po53pKHyZsN9YuP2LcM6+MfdLh4y98afnRoWtFeEhZ9ZGB7KpU1tom9/trvROR+J9EENE+g+NIRMZwEpLnb+TTcMzSH2vBOHLXxy/L5nmkHPrG/DxViirht9fAfs7u+fPd0/9+NN8mp6/nPS6OqhqhLxCtpW4x4cNcxclT01bK2QpdFk2VwfT93L+9A2C0FYSShsVCYLTpsHy5c7uFSucILplC9Q6w+koLm7lgQVPV+noEW6JTRUykf5JgUxkgLIWSjY7gWRvVroH9kowit5XlPqNmwPZ2xvgzfAAqpItkUA2bBiMGwebNkF9vZ/lwenMmbcdfFlgTFR35ahRqb9tuKGedqRSIctKsC87+nVaeELczH2cP/0FEEgWyNzJc6dPd3d//rnzZ2x1rMXB+SbHebrVRs/8r0Am0j+py1JkgKqsCFBT4wx02ofP3ANTYgKZLyv1KS/ADWRDPU9qbt8VdUrUOLKPR0Vdt2WLe6xt48eICWGpVMgSBDJfTCDzF4fXlwyXs1qavd8z1i5RIFu2zN3XYnclOGnNlw8vrOLbT1zKJsZyK99Tl6VIP6VAJjJAlax3ZuMfzjZGEU5BOekwKWYAf9ro+MlRW9LcDTjUs4Zj2Z6oU6IC2UfRgaz9A/ppxxiyRBWynPh9ead6FhxvIZD53K7dadPc3Z+F8+6HH7r75s5tvXn4CqCuiZGbVjCWUiawQRUykX5KXZYiA1RpSTUAuxjMN+f+iz+e8zfniUd/TPhKa2MqShjIyvFOoNUcyNJp5LMPi8LHOiGQRVXFUvj15ktUIUsQyHyezxLbpRn19m4gmzED0tIgEHCmutizJzqQ7btvguvj3jc/bnJYVchE+idVyEQGqOY5yAKkUzN1Inx9P7jy0PgT/W15zJHEgWxHTWS2foB585w/T+Q/vPHJVOzom+CSvwMd7LKkrfOQxQQy409cIYs6p6VAVhTZzM6OroK99ZZbKYNUA1lu3PJJmzdrgXGR/kiBTGSAKilx/8c+dnRl4pOMDzImte3GkUDmGUNWVh0VyAYPhokToQDnfU0gFHmcMuWlhRK+d1ri7aTnx4QrX0Hr0+AnqqqBM/YsZhqN/fd3t++8E5qcDMzEiVBU1HrzMLkwPB8bXglgBNup2tVIXV0r14lIn6NAJjJAlW52K0hjRiYJZBl7O7PTt0WiCtnOmsjySc0WLIBCPIuYFzjv411aaOLEtr11dFUsxXnIvOPjPE9JJr8mWSCL/568geyZZ9ztgw9u/W2ce+ZCmg8z3L33aDZHVRFFpH9QIBMZoEo3Z2AIMZQdUdMqRMmYlnh/S0yGU2Ua4h1DliCQzQ/GBbKmJmc6jGZtrpA1hzBjUnsQwZjogJXR2qOPJO+yTBDIjj46ccHthBNafxvnnuHv0DOObATbNLBfpB9SIBMZiEINlGzOYxLr2MFwjr/ym/DNJ6LPSRsKmbPafm9jgPToQLarBoLVUactmN8YF8g2bYKQs3gAo0ZBVpJiVPL3bq6QteF5Je8g/rSxKZyfpFEmN27XqFFwyCHR+3Jy4MQT405N8l7hkDfYbeNQyjSwX6QfUiATGYhC5ZRuKWAuHwGQvqvCGefllTm3bdNdeJlMyEyDwnB4CVrYuS3qlHn71kcFssbswsjM9pDCPF0JhQNZKuPHIm0Nhx1fthNCWz0/WZdl4ocBfvrT6NeXXQaDUl0atLlCNtgNe8PYoQqZSD+kaS9EBqDKPZVUVQ9nDh+7O/cZEX1S5nTazZcJoSq47hhI9zvjyXKjnw4sKqhjbP4OCK8KtGLbCD5pco/Pakdxzg1ibVhvqTn0pLoagUlzfmwgZn/iQHbssfD3v8P99zuf6Re/SL1pke5RVchE+j0FMpEBqGST85jeRNa7O70z9KcNiZp1vs2anzY837NwZUZT9Dm2nglF2yOBbOnaUXzqGazerkDWngpZc7egZzHvVplssFXR+5JUyAC+/nXnp81MttMFHBPIVqlCJtLvKJCJDEClpU44GodnBP1oTyBpXki7vRIt2h2K6RK19YzIcpdUemPZKN5udA+nNJN93PumRf+ZCl94wHxLM/DHXZPlVACj9rUyf1l7ND908IUZfJo2h/OuO58SxjJVFTKRfkdjyEQGoNISZ+T8BDa4O8d4AlnG5I69QcJAFhNgbB2FlEdeLl03ItIVV1CQ4sSpcdJi/kyBL/y52xLIEj1p2dqEsu1lsmF8MbknjOUT5rCHQe7ksLax5WtFpM9QIBMZgEpKDFnUMY4SZ4fPwNgi94S00R17g1QCWagef2195GUl7tQORxzhLDvU9vdND//ZhjFkkUXDC1o+zyt2AXKIXl6pM4XvO2qE+/1t3QrBIFD5IFQ96Sw9JSJ9mgKZyAC0sSSDSXhmYB1bBBnhEOPL63j3W3Mge3EVHPln2Oc38L1HogfC23p47zu8+fc7mMwaShkTOXTxxe1933ZUyNKGOk+TNgezlN6nGytk4TFuWVkBhgyuASAYNGwvLYXG9VD/EQRKuua9RaTbKJCJDDShOtZvLGAv1rj7JnoG8GdM6fh7NAeyQAg+2w47qmFrFYQ8E9DaOsjwc+gpuzjwKzUEwyHqiCPglFPa+77NFbK2THuRAemTU5ulP3JNTAXQmC6skLldqeNH7GYY2wHL5lWvuOfUvgq2Kf5aEekzFMhEBppQBes3FcUEsmJ3O72t6xUl0DxX1wjPuKytlRDc42mH2135jz88wVOP7+SRR+D558HX7t9M7QhkAHmnxK1D2aK4Rcmz2j9nW2uaA9m83/L+Z+PZzggKqKR0s6e9jeuh/sOueX8R6RZ6ylJkgGmqr6B0yzCGUubu9FbIOiWQhStIozzjsrZVQXA3EH5gwLPYuM9nOfXUUMd/I7WnyxLaNuUFxM/W35YHAtqq+d4+gw9nrNgwdrB5W8yYt4blkL2w69ohIl1KFTKRAaZkUw2hkI9ruYW9RmyDN78JXwpP+uUvBn8nhIvmwDLEWRwbgF21UOOZaKxqD3y+AzZXQHWD293YEZEuy064V4vvEzOGrEsDWTgsxk4OuyUmkAU2QrC869ohIl1KgUxkgFm/zp0qYcS4Bth7KAwPT46aPqlz3qS5S8/vc+8NULrK3f50NRz+J9j3t3DG/W3rMkz6vmnhubs64V4tvk9shawNT2i2lb/I+dOzfNJQyti8NSYEWguNaxCRvkmBTGSA2bDenSJh4rg90QfTRnbOm3grSCM9YWWTJzDsKXe3C7M6r6plMrq+Qhb7FKovL/F5nfJehU7IHBKznmVslyVAkwKZSF+lQCYywKzf4P5nP3FcefTB5mpMR3nHWHkD2dadTrdaqBZ2eeYlG5xDZEB+h2V0Q4WsG7ssjQ9MbutdlgCBLfH7RKRP6JFB/caYDTgr2AWBgLV2gTFmEPAwMAHYAJxprd2T7B4i0g6hetZvyOYYXiSDRvbJ3Qwh60wMC22bi6slURUy75OWVRDY7kwRsbvW3V+c61SBOuW9M+i8cJdEd1bIwAl8MYFs87Z8rI352oKVTuDtrGAtIt2mJytkR1pr51prF4RfXwO8bK2dArwcfi0inSmwhZVrh/BTfs6znMKZP78MXgl3c/mynEH9ncFkuUlhuCeQbauE4DYIbIM97lOWDO7EMVjd0WXZvOh3s66skIHzFGhMl2VtbQblFVnx5zati98nIr1eb+qy/CJwb3j7XuC0nmuKSP9kmzazcvUgZvKZu3Pvoc6fHV0uycv43KkvYitkDcuhfnF0hWxQJwYak5F46abO5P180A2BbFBUIGuesmTz1kTjyDZ2bVtEpEv01DxkFnjBGGOBv1hr7wSGW2u3AlhrtxpjhvVQ20T6ra2lu8itLWcwuwGwuRmY5kXFOzOQQbjbsh4OnQT/+pozSeyIAqfLEmC3t0LWxnnAWuLLSrzWZGczOUB4ctuu7rL0D47rsgTYvDWffabviD63aX3XtkVEukRPBbKDrbVbwqHrRWPMilQvNMZcClwKMG7cuK5qn0i/tHJFKKo6ZvYe6na9pY/t3DfzZTsz8w/Pi576opm3QtaZgcxkJ15rsrP5cpyJbn3ZbV8ZoK38w6IqZIVUAFCaqEIWrITATkgb0rVtEpFO1SNdltbaLeE/dwBPAAuB7caYkQDhP3ckufZOa+0Ca+2CoUOHdleTRfo+28jK1RlM53N339Twf0PGQPr4zn2/1kLRHm+XZVHnva8vp3sqZM1rV3Z1dyU462yOKoD3vs0Nl/+XyawFknRZAjSt7fo2iUin6vZAZozJNcbkN28DxwHLgKeBC8KnXQA81d1tE+nXmrawcs1gpuKZnHWv8FOVvuLOnyrC5LR8fJe3QtZJDxOAE5C6cqLWZiZc9euW98qAzBEwcRBDxwUAp6qZsEIG0Li669skIp2qJ7oshwNPGKebJA34p7X2v8aYxcAjxpiLgU3AGT3QNpH+q2k1K1ZP4HhvIJscDmRpozr//WKXYGoIOOtZDsmFnHTIz4TaJqhphMGDEt+jPTL37fqnLMEdN+brxO7WlqSPg8AOxoyqjOyKm62/WaAEbKjrFjwXkU7X7YHMWrsOmJNg/y7g6O5uj8iA0biKZSsWxlTIwuOMuiKQeStHFz4Mz4WHij74VTh6Crz7bed1QwCyO3FQfOzC312leUHy7przy+885zR6pDuhbsLJYQFCDRDYCumd/KCGiHQZ/fVJZCAINbBzRw1lWzKZwAYArDEwIdxV2FlLJnl5A1meZ4qIrVXR52Wmdf3M+l3BVxT9Z1fzD4OaRsYH1rOQ9xjONkq2tFCd0zgykT5FgUxkIAhu4+Nlw5nMWnw4a1masYXhMGS6qELmqXpFzUVWGX9uXwxkacOdP7urQpY2DK79D0NPuoX3OIAv8G/2lGdTU5OkezawtXvaJSKdQoFMZCBoXMuHn44kiJ/7OZcNg2fA3HAI8xWCrwsmUvUGshHe2fqr4s/ti4HMlwtpQyNdiV3/fjkwtCjysnkusqRVskDCB9VFpJdSIBPp72wI6hez9JORrGQa53M/z171f/C38HMz/k4cUO/lK3DnOIsNZOt2w7Ofw6KNsLmibwYygNyTuybMJjPU7VpuDmSbSpMEslC5889eRPoEBTKR/i6wBUJ1vLPYnfh1//mb3eNdFchMmjOdBsBIz3iyrVXwnxXw9Ufgi/fAH9/pu4EsY0L3vt8wN5ANC0/VWJJsYL8NQnBXd7RKRDqBAplIf9e0idItBWwqLQIgJ6eROTO3ucf9g7vuvZvHWY2MWWDc2205oqDvBrLuNsxdnaTVChlAYFNXt0hEOokCmUh/V780ujo2bzPp6Z6uLH8XLrHTPPv/sDzI9DvbO2thVZl7zoh8BbJUDXdXU2h1DBlAkwKZSF+hQCbSnwUrIbiLl9+YSCHlPMjZ/LTpBnjKXc+ySwNZ5hxnclK/DyZ73uf1de72iHww3TgOqy8bMSmy2dxl2WKFrHGN03UpIr2eAplIfxbYhLXw3MtTmMoqzuZhjnzvH3DrG85xk9G182j5siH3RGd7mmft2ZB1t0eqQpay4bFdljb5GDKAUA00LOv6dolIhymQifRnTaV8tmIYpVsKmcWn7v7IkknD3Schu0r2fpA5zV3IfFjMrPzqskxdbpGz7BSQQRMFVLJpcyHWtnBN7Svd0jQR6RgFMpH+rGkD/3l5LwAO4S13/77hJXXSxyW4qAuk7wVf3w9WXQ1vftPdn5fhzOKvLsvUDXEfkBjGDurr09m1u4WF3IMV0LSxGxomIh2hQCbSXwX3QGAbjzw9E4BDedM9dkA4iKWN6Z62pA2D4mwoyo6eqb95fjJVyFI3rBCKs1mXsReZNACwaXMrC5w3ru6GholIRyiQifRXjStYuWYwSz4azQi2shfhtQ2z0mB2eD6r9LHJr+9M3tns13rmxhpTBMbvzFkmqXnhZ7Dyaq445Dk+Yx8ASja3MI4MnHFkmiRWpFdTIBPprxpX8cBjswE4kEXu/rmjnDUs/YOjlzfqSr4s8IWrYbkZ8PrlMHUITB+m7sq2SnP+mY0d7VYaW62QBcuhaV3L54hIj1IgE+mPGtdiG9ZzfziQHcC77rEF4W7K9G7qrmzWvAj34ZPgzndh1U5nW4GsbUwWAONGV0R2lbQWyAAaV3RVi0SkEyiQifRHdW+xaPFY1m9yli46zveSe2x+OIj5h3dvm/zhZZSe+sxZOun8eXDEZI0fa6twgB07yg1krVbIABqWQ6ihq1olIh2kgRsi/U2oBpo2cN+jJwEwjc+ZG/rQOZbhh4MnONtpQxNf31V84XFOX57l/DQLV3wkRXsa4b11LNiwnWPJ5UWOa3ly2GahWqdKljWn69soIm2mQCbS39QtpqHex8NPOQO+j+Zl99ixU50nHSF6oH138CUZeK4uy7ZZshJOv4+ZwP+wjhc5jo2pBDKAmpcgcwaY9C5tooi0nQKZSH/TuIxnX5zKnnIneD039hxC/1iO7/2NMHGQc44vC/wp/k+8s/iSvJ9PFbI2Gep2NTevZ7llWwF1dWlkZwdavjZUBXWLIOewrmyhiLSDAplIf9K4DgI7+ccjx0R2nXfGMnwzh8FMT0Wsu6tjAP5kFTIFsjYZNiKyOdK/DcJLVW4oKWL61J2tX1/7GmRMhbQRrZ4qIt1Hg/pF+pP6D9i1O5vnXp4S2XX+mR/Hn9eVC4onk6xCpi7Lthk2MrI5OLQLcNZNWrexOLXrbQhqXuyCholIRyiQifQXtgmaNvDkf6bR1OQH4Mi5K5gyaXf8uT0SyHISj10y2d3flr4st9Bdz9I2kk8V0IZABtC41hlPJiK9hgKZSH/RuA5C1Tzx3HQA5rOEJ9cfDit2xJ+b1gNdlpB4YL/GkLWNyYQhuZGXw3D++bYpkAHUva9pMER6EQUykf6iaTVV1Rm8+PokAE7nMQoqdsApf4e3N0Sfmzaq+9sHiceRaQxZ25gMGOwuJt48sL/Ngcw2Qv27rZ8nIt1CgUykv2hczX9enkJjo/Oszlcyn3L2VzZAlacS4st3ug97QqJxZApkbWMyYLBbIWt3IAOnSmaDndUyEekABTKR/iC4G4IVPPHcNAD2YjVTGsJL5WT64dCJ7rndPSGsl68owb4eCod9lUlP2mVpbRvvFaqBxlWd2DgRaS8FMpH+oHEVDQ1+nn1xKgBf52732BGTnQW9m/XkdAf+BFUco0DWZkPyI5vjMrcAUFubwY6y3GRXJFf/fme1SkQ6QIFMpD9oWMYrb02kqjoTH0G+7r/XPfbVfaPP9fdkIBsUv8+npyzbbNJwmDMSjtqLhmGDI7vXrE/w/bamaRMEyjqxcSLSHgpkIn1dYDs0lUaervw6dzMy6FRNGJwDx0yJPj+tmxcV9/IPjn5tMrSMT3tccAi8eCk8dC7rFriz7q9Y047pTGwQal/txMaJSHsokIn0dbWvEAwanvrP3oyhhNv4nnvs3H0h3e++9mX3zCz9kffPiR4zlmz2fmmZcbugp+3lzs6/YnU755drXOnMYyciPUaBTKQvC1ZC42reXTKGHTvzuJr/I59q59iUIfA/h0efn74XGNP97fTyex4qSLbguLTME8i8yyV9vrqdD2zYoBPKRKTHKJCJ9GWNn4EN8a9npzOaUi7lTvfYtUdBdkx3YEZM92VP8K4SoEDWPp5u3k6pkAHUvu4sqyQiPUKBTKQvq/8Qa+GJ56azm0H8nm9hjYF9RsBJ0+LPTx/X/W2MlaZA1nFpcP8HcPubzHjwAfwmAMD6TUXU16e175aBMmj4qPOaKCJt0s7/ckWkxwV2QGAHn3w2nPWbnOkkbsy/mW/fV0lGpgVfTNdk2jDwF3V/O2N5n/L0J1lwXFpmMuHGF6G8njRg/tg1vF8yjVDIx+p1g5g1I8FyWamofgbwQdbcTmysiKRCFTKRvqr+A4DI05UAJx+7moyDRsP8MfHnZ+3XXS1rWfpYd/3KnnzAoC8z6TDaDbMHjVwW2V6+qgMT/9oQ1L3TkZaJSDspkIn0RcHyyISezbPzA3zppM8Tn2/8kDmrGxqWApMG6ZOdhwsUyNrHpMMYN5DNH+L+c/9oWQfnmQvscBaqF5FupUAm0hfVvQ02xIrVQ6hbXkkh5WRmBjjxqDWJz08f71aleoOMqc7Tlr7Mnm5J32Qyoipk++S5/9w/+GRkx+9f85yz+LiIdBuNIRPpawLbIt2V9z0yi/s5j9l8wpJBR5FXthfkJZitPeeobm5kKzJn9I7xbH1VTJflBN/GyPaHy0ZibczsJuV18Md3YEWZU1kLhmBMEZw3D4oTrJQQ2Ak1r0Le8V33GUQkigKZSF9T8wLYIKGQofofK1nIYgAOLHsRcqbHn582EtITjCnrSSbdqdpJ+5iMqC7LwqodFOTXU1mVRdnOXDZvLWDMqEqwFo6+E5ZtS3yfm16CJy6AgybEH2v4ELIXJl5/VEQ6nbosRfqSxtXQtB6Ad54u5Bd7PLPyX7wQhufHX5NzcDc1TrpNTIXMlJQzdx83dH34aXgc2c5aOGtO8vtY4PyHYHt1/LFQvZZUEulGCmQifUnt607VA2i88XVyqQVgV95I/FcdGn9+2hDI3Kc7WyjdIgMmeCpXa3Yyf9bmyMv3PxztbAzNhT210ZceNgnmjXZfVzXAZY853ZixGj51Fh8XkS6nQCbSV9S8Ck2lAJS+E+Cw0n9HDlX/5FQoTDBoP2t+d7VOupPJcMLWoPD4r9omjpr0ceTwG4s83cHfOdTp3nznCthxPTx2Pvz3ErjhWPec6kbYXBn/PtZC5YMQauiiDyIizTSGTKQvaNoIdW9GXm7//nuMIQjAB0UHM++iBFMd+Asga0F3tVC6k0l3Ru3vPQwWOQP6D8pfGjn83gdjqK9PIysrADnp8MF34+/xzYMgLxMOngCTByd/r1Ad1L4EeSd37mcQkSiqkIn0dsFdUPGPyDqDOx7ewvx1L0UON37niMTX5RwZteah9CPNi4sfPxXO3RduPI5BC/PYO7yuZUHDbt5bnML0F1+bHx3G3tkAL62OdItH1C2GYEXntF1EElKFTKQ3s01Q8QBYpxrG2l3kf++ByOH/DvoSx1+R4D/jrPmQtW83NVK6XXPQ/uZBUbsPO3AjK9cM4W9cwoird8KLR0BeRmr3rA/A7jq46BEYlgeffj967oy6dzUNhkgXUoVMpLeyFqqfg+Bu53VjkLpTHyQ74AzS3sFQ8n59RPR8U+CsWanupf7NJP679JEHr2cUmzmFZ9h77SI47Z7Eg/UT2VXjTIMBsKMa/vJu9PG6RVD/SfvbLCItUiAT6a2a1kL9h5GX1Y3ZnJ7xBH/kcnZTzF37/4xDTtkdfU3aUCg4B4z+0+7fEndFn3j0Gr7qexAfTpdjXWYe+FP8d2FnDazz/Pt03QvwwAfR51Q/5UwaKyKdTr+1RXqjphLn6bYwa+Gyq07huc2HcgV/ZN/85Vz4t5roa0w65J+uiTwHgkRjA/fUUbR7C9/IvTey682RbaiUzhkFi78Tve97/4Zrn3Nf22D4qcuYqTREpMMUyER6m8Y1UHGfO24M+PM9C/jnv2ZHXt/0y3cYOTxmMs+cIyFteHe1UnqSN5CVlMP//Bvm3gpfvIepVcsAaCCDn6++LG58fovGF8Pzl0CBZ43RuxbDHW+5A/2Du6DmpcTXi0i7KZCJ9Ca170D1v52Fna2F7z7F5tNf5ofXHh455ZLzlnL+mTFjedJHQ/YB3dxY6TEmzR1w3xSE+z6AugBsq4qc8jhf4a3Pp/HO+2Pbdu99R8P7MZWym16G37/jvq7/ABqWt7PxIpKIAplIb1G3yFmnMlgBDQH48j/gnx8x+o23WBKazyTWMm/2Fu64+T/R12VOg4JzNW5swAkP7J80GA6fFHf011wFwM9vPTzuWKsG5cC734JxRe6+n78Er6xxX1c/C6GauEtFpH30G1ykN6h6Gqqfd7aXbYPpv4K3N0QOb2Q8/tG5PPPAP8nODrjXZU6D/DPAl9O97ZWeZzzTWVx7VNSh8mMW8LFvLgDPv7oXL7w6ue33nzQYXr88ep6yD93lmQjVQNWT8XOWiUi7KJCJ9CRrnXnG6j+A9bvh2DvhqL84S9mEvckhnJ3/BE88+Hj0uLG0Ec4gfuPvgYZLj/OOI5s3Gt643Jl1/3uHUnTXcVz0VfcJ3Uuv+gJ7yhMsrdWa3Az451edStkD58D/xFTbGldrAXKRTmJsH/7bzYIFC+ySJUt6uhki7WMtVD0G9cvgPyvh4kcgGP3f4zomMjPtc5575EGOPGSDeyBjL8j/Evhyu7fN0nvs+QMEypIe3ro9jxmHXEF5hbPe5bGHr+Xp+x50llNqq0AI0pL8/d34IP8syNy77fcVGWCMMUuttQnXtFOFTKQdSkvhF7+AM8+EM86Am26Czz9vww1sI5T/GRo+g8sehwsfjgtjP+VGpvjWcM8fn3bDmMmAgrOcMWMKYwNbK8tijRxezd23PxV5/eLrkznl3K+ya3d2298rURh76CPn6c5QEKoeh4aVbb+viESoQibSBqEQ3HAD/PKXEEhQaPjiF+HWW2FS/Bhrh22Cps1ON0+Tsyg026vgm0/Am+sB2Mlg9mMxG5jIPXc8wQVnf+yc58tyJn1NH9/pn0v6oPJ7oGlDq6f9/DeHcd3/umPMxo6u4He/eI5TT1gZv8pDKqx1psG4+RXn9ZdnwR1fhMxsyD4Icg7WGqoiSbRUIVMgE0lRRQWcdx4880zL52VmwjXXwA9/CNnNxYhQrTNNQP37ULUZLJAT/p9WyLLqjh1s//XnfKPxz6xkGgB/+r9n+H8XLnGmN8jYB/JOUFVMXBUPOGO4WmEt3HRrdCgDmDtrO+edtZUD5m9ixOANhELQ2OinsclPY6OfYNDHoOI6Rg6vorCgwb0wZOHiR+HZmJLwkiudsWZpIyH3aKdbXUSiKJCJdNDKlU71a6WnV+bAA+GSS5y89PTT8NRT0Q+cTZhg+e2vSjj1+E8w1R/DlY/Ao+H5w86eC789lZq6DP7v9wdz828PIxh0uoXS0oLcfftTnHfmMkifCDmHqSom8Sofdbq8U/TUf/bmou9+kd172v5E7phRFew3dwuHHrCRU45bxZTh2+CUv8Nn26NPvOIg+Okx4E+H7P0h5/Dop0FFBjgFMpEOeO45OOccqKx09/3wh3DzzeD3POD43ntwxRWwdKnz+mSe4SfcxAG8F3fPUHoaLx5wMRetuIUtZUWR/QX5DTx694scd2I+pE+G9DFd9Kmkz6t6Euo/atMlu3Znc/2vjuGuB+ZRX9+e/krH3nvt5NzTPuI7Zb+k8N5X4k8YVwT/ugAmz4K8k5yqmYgokIm0R2Mj3HijE7yaZWfDXXc5AS1O00aC9SX87c5aSn76ATfVXdvi/R/jK5zNQwTDE3wedEAtD/wzjQkT0mnf4B4ZUKqfhbrFbb8u72R21+3HY4/Ba6/B6tVQVub85SIzEzIyID0dfD7Ytct5gKWhIfntXhj2JY7d8WTig9uvA38OZM2DrPngH9T29or0IwpkIm2wa5fT/XjLLc7/rJqNHQtPPt7IvJl18OyzcP9dsP++ULED3nwH7j0dipy5niqe3Uzh1/+W8P4vcTQX8XdKGAfAyJEhbrzRx9e/Hl1xE2lRzQvOUltt4S+A4ivbNHddIADLl8OidyzPPVvLiy9nUleXFnXORNZxq/8qTgs+4e688Tj4fwe6rzdXQmURLLwQssa1rd0i/URLgSwt0U5JUW0t3HcPHLeA0OiJrFkdYO36Ag75+jTyd5YC0JSeRXpTfdRlgYwsXr32capm7E9GBmRkZlNQuZWsYANMn06hLacgVE7u+CFkDslXsaQLBALOeLCPP3b+XLPGCV9r1sCePfHnX3jgR/xtzVH4F8YcfNrTXZPjPllWOC8/6rT3hh3F19LvZ9OuoWSkhxgxvIHzDwhy2pf8nHKKjwwNs5E2a8eTjBnT2zyRcFoazJ4Ns2cbLvt/udTVwdNPNnHP3TW88HIBoZCP9UziS8F/MY6N/InLOZ7nuX7d9zj8tR0cesAmZ+6zBz+E/3sNuB7mjYczjoVZC2DBITBshqrCkpLA9l00/OYO/M89Q/n0hVSnD2XY6w+RVlfD2kMvpCFvCIGiIfin7UXmYQcweS9DbvOzUPX10NQEWVnOgN/03tUboQpZqtasgb/8Dh540PmHmuaHsnIAfjXvNm5ceTnVNZkA3MD1XM+NLd6umN2UUxx5/TRf4Au0/PjetrTR3Dj176wfPZ/8fEtBgY8vrP49c0qeZ9PME8kLlTNu9av40v3sOuk80oYWk5NtyBg/huwDZ5M5LA9j/FDf6PRRBINOv0RFBYwZA4O6uDth5Ur477Nw+lkwenT77tHQAG+/BbPnwJAhyc8LhWDF55CVzZ7sUax/cSXLNuXw9sYxfPhRBr5PPubkxidYxyTSCHAyz3Ia7pxNnzGDED4OLVjMz65+lW/v+CW+O95M/n4/PgouXgh5zr8DWAtv7IZjDwdfJqSPcwbm+wq05qR0jtq3oebF1M83Boq/3andhptLg9x3bzV332NYtaYg4TkZGQG+Oum//G3lafhtsOUbXvIl+OPvIW0oWB/s2g2DBzu/p6Rfsdb5X0/FktUEXn6duu07SV+1ksxtGxiz4R22509ic9ZkRlV8zh6KubzoPj6pnsycqvd4k8NSeo+jeJnXzJFMn1rJv+q+wN6bWvgdnpcN518If/xj53zAJNRl2V5r1sDUqa2u1fY2B3EIbwOQSzWX8Rd+E17YN5n7OZfzuR+A/XmXtzkYP6EWr9nFICawgWrc6ksDGWTQ1OpH+Tk/4ca0G8jNaeLLTY/y97qvtXrNkrSFfK3gMXb6hmF8PmbYZfx752HkWWf5nh0ZoxjWuAWA2rR89uSMpLR4Og8cdiuhnHzSMwzz1z3Nec9eHHfvnQXjGVK5kbKCCSwfezRPHHATDb40rM3i8GV/4Nhlf2BIdUnUNaWF0xhTsSLy+oIvrqXen4G1GZyw+q9ctOwnAATxJfwub+ZH/ISbMYR4nuM5lpda/PyNGdlUfXI9gwfVQWkFXPEELNqY/IJXb4T5+0DGVEgb7awvqSfMpKvUvQ/Vz6V+fvoYKLqkS5piLSx6u4G7727k4UezqaqK7nw5h39yG99jODtavM+2fefx0dXfJT3TT0a6j4NOvxB/zAC2ptmzMKNH4a+qxhxzNBx6OBx1lNMIY5w/t293qiAZGc5PfT3U1Dil8eHDnbKftF3zd5xAYPkqKj/fTN3nG2hcV0pg205yVy5h1DqnW70mvZAVefvysyG/YUnVNHbuymRUUwk/43ou4B8tvu1fuYQbuY5SxgIwhhIe5yssJPEYyvVM4Gwe4n32j+x7i4M5mBa6+DP88NKrcOihLbalo9Rl2V6ffALZWVBb1+JpB/MOeVSROyyTmdMbGN84hMb3s9hVOJHq7EGM3/4BGQHnHiEMGwfNYdCgPE6ftpW6QCanrXoW/zo3QNSbLLJsfdz7/JcTosIYwMfMYT9aDqVbGcH/8kMCAT8VlX7u5av8D7cwk+VJr1nPBK4M3Mrnu8dG9n2Nl8jDXUuxOYwB5ASqyKmsYnTlKi657+csw5kZtZjTOJifM5ENUfcfUukEm6GVG5j82X+5/bO/As5/6Dmkcw7RYQyICmPrmMhzT+Wzk6HMZwkn8IfIsWTB1o/zt3OLj79zEaGsDI6vT/4/tIw8GDy8GELZMH4oXPQVmL4Gsgvh0IUwbRYU58OoCeAv1JqS0r3aGvYzZ3dNO3D+H33QIZkcdEgmt//OeVjg+efhv/+1rFpleJCv8iBfZTjbeIizCZDGMHYwm0+j7pP24UZOPOf8yOs/8yqXcWfUOemffAqfhK97621CGPYZVYLNzSI3N8TeZg0PfHhQq20+b+83+CxzX0IhGNa0lRdXTm3x/L9M/V+envj/SEs3pKencfDWx/jeu9F/sa3IG0l2YyU7R81k1Ib3AVh7/CV8eMEthHzFhAI17PX8X5j3z2sJpGdTOWIqNUWjyd+xmszq3ewZPp263CHsGjqVDw64iKrskQSCWRRvXcb+i25nn2UPk9lUA8CHU89g2oYXyG6siLz//QfezsuTLyYQ8hNoCnLwhoc5aOMjjK1cRk1aIWvy53DM1gcj5+/OGM4P9/03JYX74POlYagngya++8llLNz+X1YN3o/6tHz23/J03Pfxj0k/5o+Dr2VPuZ/ynZYL9jzJ//HDpN9fblMFe/b4+feeeZF9I9nKl3gi6TXNvsHfaCKdK/gjPoJcnH0/C1t4oGUiGzh0ZinlDdNZsy4ff6iJ/ZKEt4jvn+zMZdSTrLV99mf+/Pm2Sy1ebG1OtrXO3wusHZRvd02Za5/nOHs5f7D78IktyKy3V11l7fLlnfSejY3WhkLOz3vv2cY7fm+rbv6V3f3//seu/uvz9o2Xt9pnn662D963y975xzL73uFXWAu2Lj3Pbincy1qwDb5MuyZ7uq012baRNPt22iF2btrHkY8xmDL7CKe7n6uFn9P4V+TlIvZP6ZqvcU/Uri/zWIvn38v5UbsGsdP+nm+2+j7Nn2UPhSm16+VJX7X/e+MK+8KT79jyP/zI2hFF1o4bYu2cydZOG+ee+82LrH3rOWs/W2RtqLGT/sGKdLL6ZdbuuD71n8DOHmlmWZm1zz1n7fXXW3viidaOGRP9n2YelfZmrrUrmWKP5sXI/nFssH/nwpT+2z6U16N2rWVii+fvpsiOojSyawLrWn2PlUyxaTRGdk1hpa0no9XrfsKNkZd+muxZPNjqNVdzi3Vm4HV2DWerDeBr9bp7+FrUda9zaKvXXMHv4nZvZGyr132Jx62fpsiuc7kvpX9W+7MovBmyj6WdYS3YJpNm3x12sl07eF7kvLrcwXbVCVfYdedcazdddbtd/1mN3bPH2mCwbf/+1dRY+9zTTfaaw9+xR/KyncA6ewwv2NMyn7Nrvvkba++/39q//9XaV17pin/94wBLrE2cadRl2Zq774L334DLvsfyjLksXOhUvgGmTIEnn4QZM7q2CZ2locF5DiEiFAKfD1O6iVDhINKWfYT/g3exITA1NQQnT6b+5NOwPh82WIv/+dcwn3yE2bwVs7OMhvxB1GfkQU09vopdZJaXsX7fL1E6/kC2DZ9OUxM0NQSY9ulzzFl6DztG7cPsxfdRMXgcOdU78QebKJlyGGtnf4H1+56A8WXhsxVk19Yy7d2H2Pf5W8modypy1YNGUZ8/hEGbltGUXcDL1/6bionzMCaNgm3LKNy6BkM6xheiYuJ8Cmq3kbfPBIZMzGdY02bSMv0weXLPfPEiXaFxtTNbfyp8+TD4f7q2PW1QWQkrVjjrv5aWOkNad+xw9jc1OT+NjZBbs4Pi6k1kNlRx0p77OLL2OQaHytjCaMZSwnomsJHx/JJreYHjASigggqKWm3Dx8xmLh8Dlsc4na/wr1avuYLf80euiLy+ne/wHX7X4jXvcGCkq+wIXuVJTqOQyhavAXiSL3IB91JJIQD/4QRO4PkWr8mijgacJ70X8h7vcUCr7wNwBo/wGGcAkEcVVSQeD+i1gfFM53PqcZYjuYi7uIvEXeI7R8xgw9GXkDW8EHvSKRRNHcbQoU6vMtZ228D6V15xpizaEe45HzQIFi9uYam7LqAxZJ2gsREWLIBPw5XySZPgrbdgpOY7FJGe0LQRyu9O7dzMGVBwZte2p5uFQlBX5/wFubbW/ampgfpdNZi6WgaveY/GURMIFQ+meMUiGqbOIq2xluK3/s3uUy8kOHIMxkDesnfJW/wqgeGjMZUVBNKyKHj9aar23o/6ohGkb91E0Odj59RD2TbrWAJNASivYJ9Hb6CgdDnbxh9A0aZPqDcZlOVNpjaUxZQNL5Ffu40fHLqImpxh+EwDucFavvbJ1Ry17q7I53hjyoVM2rkUQ5CywslML32ZDSMP4PNJp7Bo/uX40xopaNjF0W/9kmkrnya/2lkd4dMFFzB64yIKd2/AH2zkg+N+wGfHfoum4lGkp4UYteJVJi26j7ydm/A3NdAweBQV+xwMWTkMf/MxQv40ckpXUXr8xWw8+XIas3MIkY2/ppK9HrqJ9MoyaoZOJGR9FK1fSsWIaRSVfEpN0RgGb/6EbcefT9UZl1A4NIMhgy2DBhvSgg3OAxjpvXct09Wr4bDDYNs25/V++8E773TfsEIFsk5w883wE2fMONnZzqzss2Z1y1uLiMQLbIU9f0nt3PzTIGtuV7ZGpM949104/HCn0ALwq1/BVS0/h9dpWgpkepY4BWvXOjO2N7v5ZoUxEelpbahCaOkikYgDDoDrrnNf//SnsGFDjzUnQoEsBddd5ybpBQvgO9/p2faIiGAyUzwvDfwtzNknMgBdfTXMnets19e7PWA9SYGsFR99BP/8p/v69tu1vI2I9AImxQpZ2ghNySISIz0d7rjDff3AA7B0ac+1BxTIWvXjH7vbp54KB7U+vY2ISNdLdR4yVcdEEjr0UDjtNPf11Vf3WFMABbIWvfEGPBeeN9QYZ+yYiEivYHypVb78g7u+LSJ91C23uL1er7zi/PQUBbIkrIVrrnFfn38+7LNPz7VHRCROKlUyVchEktp7b7joIve1d7B/d1MgS2LtWli2zNnOyICf/axn2yMiEieVcWSqkIm06Cc/cSapPeMM+Otfe64dWssyib32gnXr3HLmhAk93SIRkRitVciMT4FMpBXjxjn/v+/pid4VyFowZAj8+tc93QoRkSRaC2S+fD1hKZKCng5joC5LEZE+LIVAJiJ9ggKZiEhf1WqFrPVFokWkd1AgExHpq1oNZIXd0w4R6TAFMhGRvqq1QOZXIBPpK3pdIDPGnGCMWWmMWWOMuab1K0REBih1WYr0G70qkBlj/MAfgBOBGcA5xpgZPdsqEZFeqrUFxjWoX6TP6FWBDFgIrLHWrrPWNgIPAV/s4TaJiPROqUx7ISJ9Qm8LZKOBEs/r0vA+ERGJ1VKFzBgFMpE+pLcFMpNgn406wZhLjTFLjDFLysrKuqlZIiK9UIuBLFeTwor0Ib0tkJUCYz2vxwBbvCdYa++01i6w1i4YOnRotzZORKRX8bUQyFQdE+lTelsgWwxMMcZMNMZkAGcDT/dwm0REeieTlfyYAplIn9Kr1rK01gaMMd8Cngf8wN+ttZ/1cLNERHqnlrosFchE+pReFcgArLXPAc/1dDtERHo9VchE+o3e1mUpIiKpaimQ+RXIRPoSBTIRkb7KZDjTWyQ8lte9bRGRDlEgExHpq4xJXiXza9kkkb5EgUxEpC9LFsh8WlhcpC9RIBMR6ct82fH7TDr4crq/LSLSbgpkIiJ9WaIKmZ6wFOlzFMhERPoyk6ASpkAm0ucokImI9GWJuix9GtAv0tcokImI9GWJKmSag0ykz1EgExHpy3y5CfapQibS1yiQiYj0ZYmeptSUFyJ9jgKZiEhfZhJVyBTIRPoaBTIRkb4sUZelv6jbmyEiHaNAJiLSl/li1qzUpLAifZICmYhIX+bLAeN3X/vVXSnSFymQiYj0dd4qma+ox5ohIu2nQCYi0td5B/H7i3uuHSLSbgpkIiJ9nTeE+Qf1XDtEpN0UyERE+jr/YHfbp0Am0hcpkImI9HX+Ie522rCea4eItJsCmYhIX5c2xvnTl6tB/SJ9VFpPN0BERDrIXwBpQyFtNBjT060RkXZQIBMR6Q8y94nuuhSRPkWBTESkP8g5vKdbICIdoDFkIiIiIj1MgUxERESkhymQiYiIiPQwBTIRERGRHqZAJiIiItLDFMhEREREepgCmYiIiEgPUyATERER6WEKZCIiIiI9TIFMREREpIcpkImIiIj0MAUyERERkR6mQCYiIiLSwxTIRERERHqYApmIiIhID1MgExEREelhCmQiIiIiPUyBTERERKSHKZCJiIiI9DBjre3pNrSbMaYM2NjGy4YAO7ugOX3FQP/8oO9goH9+0HcA+g4G+ucHfQc98fnHW2uHJjrQpwNZexhjllhrF/R0O3rKQP/8oO9goH9+0HcA+g4G+ucHfQe97fOry1JERESkhymQiYiIiPSwgRjI7uzpBvSwgf75Qd/BQP/8oO8A9B0M9M8P+g561ecfcGPIRERERHqbgVghExEREelV+l0gM8ZcaYxZZoz5zBjz3fC+ucaYd40xHxljlhhjFnrOv9YYs8YYs9IYc3yPNbyTtOXzG2MmGGPqwvs/Msb8uUcb30mSfAdzjDGLjDGfGmP+bYwp8Jzfr/4dgLZ9B/3h3wNjzN+NMTuMMcs8+wYZY140xqwO/1nsOZbwn7kxZn74+1ljjLnDGGO6+7O0Vyd+B6+F9zX/+zCsuz9Le7XlOzDGDDb/v727jZGrquM4/v3ZVnCLSlQ0Am1s1YIFDH1Q21jaWLWJBqnaqKiRIsQoGqMoiUUw0fSFRYyNSaNvRIIvaKUJxKeg1NKCrW2BpbIs8mS1SQuND4BKV2mB/H1xzshlmdnpLLNz9975fZKbuXvumdtzzv135sw590HaJumwpA2j9lPJOOhi/fslBt4raTAf60FJywvv6X0MRERtFuBMYBgYAKYCvwXeDNwCvC/neT+wPa/PBe4BjgNmAfuAKWXXo4f1fwMwXHa5e9QGdwLLcp6LgLV1jIFxtkHl4wBYCswv1gP4DrAmr68Brmp3zIE7gMWAgJsb/2+qsHSxDbYDC8uuTw/aYDqwBPgcsGHUfioZB12sf7/EwDzg5Lx+JvBImTFQtxGytwC7I+I/EfEMcBvwISCAxojIK4FH8/pKYFNEHImIvwB/At5OdXVa/zpq1QanAbfnPFuAVXm9bjEAnbdB5UXE7cDjo5JXAtfl9euADxbSX3DMJb0eeEVE7Ir0ifyTwnsmvW60QS/KOZE6aYOIGImIHcBTxcxVjoNu1L/qOmyDvRHR+D68Dzhe0nFlxUDdOmTDwNI8FDtAGg2aAXwZuFrSAeC7wOU5/ynAgcL7D+a0quq0/gCzJO2VdJukc3pe4u5r1QbDwHk5z0dyGtQvBqDzNoD6xQHA6yLiEEB+bUy7tDrmp+T10elV1mkbNFybp6q+UZXpujG0aoNW6hYHnda/od9iYBWwNyKOUFIM1KpDFhH3A1eRfv3/mjQk/wxwCXBpRMwALgWuyW9pFmSVvex0HPU/BMyMiHnAV4DrVTi3qorGaIOLgC9IGgReDhzNb6lVDMC42qB2cdBGq2Neu1gYw1h1/WREnAWck5dP9axUk0M/xUErfRUDks4gfWZ+tpHUJNuEx0CtOmQAEXFNRMyPiKWkYcuHgdXAjTnLZp4bmj/I80cJTqXi03md1D9PVzyW1wdJ55HM6X2pu6tZG0TEAxGxIiIWABtJdYUaxgB01gZ1jQPgr3nqoTEN9bec3uqYH8zro9OrrNM2ICIeya9PAtdT/anMVm3QSt3ioNP691UMSDoVuAm4ICKK3ws9j4HadcgaV4NImgl8mPTF8yiwLGdZTuqkAPwcOD/PGc8infh8R29L3F2d1F/SSZKm5PXZpPr/uddl7rZmbVBIewlwJdC4krB2MQCdtUFd44B0bFfn9dXAzwrpLzjmeSrjSUmL8hTNBYX3VFVHbSBpqqTXAEiaBpxLmuquslZt0FQN46Cj+vdTDEg6EfgVcHlE7GxkLi0GJvqqgV4vwO+AP5Kmad6d05YAgzltD7CgkP8K0ojAg1TkSppu1Z80Z35fTr8b+EDZ5Z/ANvgS8FBe1pFvilzHGOi0DeoQB6QfHoeAp0m/bi8GXg1sJf0A2Qq8qt0xBxaSvnz2ARuKcTLZl260AenKu0FgKMfE96nQVcfjaIP9pBHkwzn/3CrHQTfq308xQPphOgL8obC8tqwY8J36zczMzEpWuylLMzMzs6pxh8zMzMysZO6QmZmZmZXMHTIzMzOzkrlDZmZmZlYyd8jMbNKT9Gx+jEtjWVN2meB55Tp5jDzflPTtUWlnS7o/r2+TdFjSwokur5lNXr7thZlNepIOR8QJXd7n1EgPX38x+2hbLkmnATdHxOxC2jpgJCLW5r+3A5dFxF0vpjxmVl0eITOzypK0X9K3JN0t6V5Jp+f06ZJ+LOnO/ND0lTn9QkmbJf0CuEXSgKQbJA1J+qmkPZIWSrpY0vrCv/MZSd87hvKskLQrl2ezpBMi4kHgn5LeUcj6UWBTd1vDzKrMHTIzq4KXjZqy/Fhh2z8iYj7wQ+CynHYFcGtEvA14F3C1pOl522JgdUQsBz4PPBERbwXWAgtynk3AefnRMQCfBq4dq4D5cTNXAu/J5bmL9LB2SHcPPz/nWwQ8FhEPN92RmfWlqWUXwMzsGPw3Is5use3G/DpIem4nwApSh6rRQTsemJnXt0TE43l9CenRMETEsKShvD4i6Vbg3Hyu17SIuLdNGReRHj2zMz3+jpcCu/K2TcDvJX2V1DHb2GZfZtZn3CEzs6o7kl+f5bnPNAGr8nTh/+Vpw5Fi0hj7/RHwdeAB2oyOFfa1JSI+PnpDRByQtB9YRnp26OJj2J+Z9RFPWZpZHf0G+KLyUJWkeS3y7SCdz4WkucBZjQ0RsQeYAXyCYxvR2g28U9Kb8v4GJM0pbN8IrAf2RcTBzqpjZnXnDpmZVcHoc8jWtcm/FpgGDEkazn838wPgpDxV+TVgCPhXYfsNwM6IeKJdASPi78CFwMa8v93A6YUsm4Ez8Mn8ZtaEb3thZn1L0hTS+WFPSXojsBWYExFH8/ZfAusjYmuL93fldhy+7YWZeYTMzPrZALBD0j3ATcAlEXFU0omSHiJdTNC0M5b9u92NYduRtA2YDTw93n2YWfV5hMzMzMysZB4hMzMzMyuZO2RmZmZmJXOHzMzMzKxk7pCZmZmZlcwdMjMzM7OSuUNmZmZmVrL/AcQMhcZKIoJWAAAAAElFTkSuQmCC\n", - "text/plain": [ - "<Figure size 720x576 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(10, 8))\n", - "plt.plot(pred[\"energy\"], y_simul[example_tid,0], c='b', lw=3, label=f\"Smeared grating spec. (resolution = {width:.2f})\")\n", - "plt.plot(pred[\"energy\"], pred[\"expected\"][example_tid,0], c='r', ls='--', lw=3, label=\"Virtual spectrometer\")\n", - "plt.fill_between(pred[\"energy\"],\n", - " pred[\"expected\"][example_tid, 0] - pred[\"total_unc\"][example_tid,0],\n", - " pred[\"expected\"][example_tid,0] + pred[\"total_unc\"][example_tid,0],\n", - " facecolor='gold', alpha=0.5, label=\"68% unc.\")\n", - "plt.xlabel(\"Energy [eV]\")\n", - "plt.ylabel(\"Intensity [a.u.]\")\n", - "plt.legend(frameon=False)" - ] - }, - { - "cell_type": "markdown", - "id": "db3ddff6-dad5-40f5-af6c-680ca2657a24", - "metadata": {}, - "source": [ - "### Improve the resolution further: Wiener deconvolution\n", - "\n", - "If we know the impulse response of the virtual spectrometer, we can undo that effect. This assumes however, that the resolution function is very accurate. This may not be true, as approximations are made previously (such as assuming the same resolution for all energies, perfect linearity and zero uncertainty) and for this reason it is not done by default.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "id": "cb27ad10-5cb0-4f77-a6d6-8a1a41b6853f", - "metadata": {}, - "outputs": [], - "source": [ - "dec = model.deconvolve(pred[\"expected\"])" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "id": "a52d01fb-878f-4f3b-940f-c47013df24ca", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "<matplotlib.legend.Legend at 0x2b078471fdf0>" - ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "<Figure size 720x576 with 1 Axes>" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(10, 8))\n", - "plt.plot(pred[\"energy\"], pred[\"grating\"][example_tid,0], c='b', lw=3, label=\"Grating spec.\")\n", - "plt.plot(pred[\"energy\"], dec[example_tid,0], c='r', ls='--', lw=3, label=\"Virtual spectrometer (deconvolved)\")\n", - "plt.fill_between(pred[\"energy\"],\n", - " dec[example_tid, 0] - pred[\"total_unc\"][example_tid,0],\n", - " dec[example_tid,0] + pred[\"total_unc\"][example_tid,0],\n", - " facecolor='gold', alpha=0.5, label=\"68% unc.\")\n", - "plt.xlabel(\"Energy [eV]\")\n", - "plt.ylabel(\"Intensity [a.u.]\")\n", - "plt.legend(frameon=False)" - ] } ], "metadata": { -- GitLab