From 56050fe56986248ae77c1ccadeed408d84574afd Mon Sep 17 00:00:00 2001 From: Ismael Salvador Mendoza Serrano Date: Fri, 26 Jun 2020 12:51:52 -0400 Subject: [PATCH 1/2] updated scarlet tutorial --- Deblending/scarlet_tutorial.ipynb | 460 ++++++++++++++++++++---------- 1 file changed, 304 insertions(+), 156 deletions(-) diff --git a/Deblending/scarlet_tutorial.ipynb b/Deblending/scarlet_tutorial.ipynb index 298ecaa6..78746292 100644 --- a/Deblending/scarlet_tutorial.ipynb +++ b/Deblending/scarlet_tutorial.ipynb @@ -27,9 +27,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 108, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nb-imendoza-w-2020-24\n", + "lsst_distrib 19.0.0-1-gc154f85+75 \tcurrent w_2020_24 setup\n" + ] + } + ], "source": [ "# What version of the Stack are we using?\n", "! echo $HOSTNAME\n", @@ -38,7 +47,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 109, "metadata": {}, "outputs": [], "source": [ @@ -70,128 +79,10 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 145, "metadata": {}, "outputs": [], "source": [ - "# Display the sources\n", - "# Display the sources\n", - "def display_sources(sources, observation, norm=None, subset=None, combine=False, show_sed=True):\n", - " \"\"\"Display the data and model for all sources in a blend\n", - "\n", - " This convenience function is used to display all (or a subset) of\n", - " the sources and (optionally) their SED's.\n", - " \"\"\"\n", - " if subset is None:\n", - " # Show all sources in the blend\n", - " subset = range(len(sources))\n", - " for m in subset:\n", - " # Load the model for the source\n", - " src = sources[m]\n", - " if hasattr(src, \"components\"):\n", - " components = len(src.components)\n", - " else:\n", - " components = 1\n", - " # Convolve the model with the psfs in the observation\n", - " model = observation.render(src.get_model())\n", - " # Extract the bounding box that contains the non-zero\n", - " # pixels in the model\n", - " bbox = scarlet.bbox.trim(np.sum(model, axis=0), min_value=1e-2)\n", - " bb = (slice(None), *bbox.slices)\n", - " # Adjust the stretch based on the maximum flux in the model for the current source\n", - " if model.max() > 10 * bg_rms.max():\n", - " norm = AsinhMapping(minimum=model.min(), stretch=model.max()*.05, Q=10)\n", - " else:\n", - " norm = LinearMapping(minimum=model.min(), maximum=model.max())\n", - "\n", - " # Select the image patch the overlaps with the source and convert it to an RGB image\n", - " img_rgb = scarlet.display.img_to_rgb(images[bb], norm=norm)\n", - "\n", - " # Build a model for each component in the model\n", - " if hasattr(src, \"components\"):\n", - " rgb = []\n", - " for component in src.components:\n", - " # Convert the model to an RGB image\n", - " _model = observation.get_model(component.get_model())\n", - " _rgb = scarlet.display.img_to_rgb(_model[bb], norm=norm)\n", - " rgb.append(_rgb)\n", - " else:\n", - " # There is only a single component\n", - " rgb = [scarlet.display.img_to_rgb(model[bb], norm=norm)]\n", - "\n", - " # Display the image and model\n", - " figsize = [6,3]\n", - " columns = 2\n", - " # Calculate the number of columns needed and shape of the figure\n", - " if show_sed:\n", - " figsize[0] += 3\n", - " columns += 1\n", - " if not combine:\n", - " figsize[0] += 3*(components-1)\n", - " columns += components-1\n", - " # Build the figure\n", - " fig = plt.figure(figsize=figsize)\n", - " ax = [fig.add_subplot(1,columns,n+1) for n in range(columns)]\n", - " ax[0].imshow(img_rgb)\n", - " ax[0].set_title(\"Data: Source {0}\".format(m))\n", - " for n, _rgb in enumerate(rgb):\n", - " ax[n+1].imshow(_rgb)\n", - " if combine:\n", - " ax[n+1].set_title(\"Initial Model\")\n", - " else:\n", - " ax[n+1].set_title(\"Component {0}\".format(n))\n", - " if show_sed:\n", - " if components > 1:\n", - " for comp in src:\n", - " ax[-1].plot(comp.sed)\n", - " else:\n", - " ax[-1].plot(src.sed)\n", - " ax[-1].set_title(\"SED\")\n", - " ax[-1].set_xlabel(\"Band\")\n", - " ax[-1].set_ylabel(\"Intensity\")\n", - " # Mark the current source in the image\n", - " if components > 1:\n", - " y,x = src.components[0].pixel_center\n", - " else:\n", - " y,x = src.pixel_center\n", - " ax[0].plot(x-bb[2].start, y-bb[1].start, 'rx', mew=2)\n", - " plt.tight_layout()\n", - " plt.show()\n", - "\n", - "def display_model_residual(images, blend, peaks, norm):\n", - " \"\"\"Display the data, model, and residual for a given result\n", - " \"\"\"\n", - " model = blend.get_model()\n", - " residual = images-model\n", - " print(\"Data range: {0:.3f} to {1:.3f}\\nresidual range: {2:.3f} to {3:.3f}\\nrms: {4:.3f}\".format(\n", - " np.min(images),\n", - " np.max(images),\n", - " np.min(residual),\n", - " np.max(residual),\n", - " np.sqrt(np.std(residual)**2+np.mean(residual)**2)\n", - " ))\n", - " # Create RGB images\n", - " img_rgb = scarlet.display.img_to_rgb(images, norm=norm)\n", - " model_rgb = scarlet.display.img_to_rgb(model, norm=norm)\n", - " residual_rgb = scarlet.display.img_to_rgb(residual)\n", - "\n", - " # Show the data, model, and residual\n", - " fig = plt.figure(figsize=(15,5))\n", - " ax = [fig.add_subplot(1,3,n+1) for n in range(3)]\n", - " ax[0].imshow(img_rgb)\n", - " ax[0].set_title(\"Data\")\n", - " ax[1].imshow(model_rgb)\n", - " ax[1].set_title(\"Model\")\n", - " ax[2].imshow(residual_rgb)\n", - " ax[2].set_title(\"Residual\")\n", - " for k,component in enumerate(blend.components):\n", - " y,x = component.pixel_center\n", - " #px, py = peaks[k]\n", - " ax[0].plot(x, y, \"gx\")\n", - " #ax[0].plot(px, py, \"rx\")\n", - " ax[1].text(x, y, k, color=\"r\")\n", - " plt.show()\n", - "\n", "def show_psfs(psfs, filters, norm=None):\n", " rows = int(np.ceil(len(psfs)/3))\n", " columns = min(len(psfs), 3)\n", @@ -242,9 +133,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 111, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Background RMS: [0.04287751 0.06435928 0.10105371 0.17749543 0.18650883]\n" + ] + }, + { + "data": { + "image/png": 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kKU+W2wsibsbPJ/v76bGXz3GVLFHhUsuA8qyyiThX4QbSPBtqPOrpfIhfirq6CpQoP6fUXqI9zpW8eMmjoipX4X6e2kDtGeUK8NAcj/PcGxpwbOdVuXp92Tzvy70jHdTeXedz0OFRP9siPIC5o8yv03NJvoYnSM3c/kV+zsUkVwr7c1zlXGznfeyZ4X3ck+Hvp30ZroL/UoGv4b1RruqGydpum+MK+Fgbvx5T7XweGwtuXdia8nUK2B2bYRgBxBybYRiBwxybYRiBwxybYRiBwxybYRiB46SqqIjcAeA6AFOqemnL1gXgKwA2ABgD8A5VnTv56RQgdR/7C1wN2hPmCldFuKJSSLsxlDWParngybTa4VGgImkeN1fwZGZNgSs2IR5yipgng2624fYnXeRq2ETIU9vSo5Kppybq/jRXsvKLPKawvcnjASf45UN3lKulw3PuNclFuXo9keJ9XAeemfXZrBtHDABvmebZY7/Rz7PZJkNcpS318H72110FeMSj9B4gdXEB4EgPv/+4/BBfB9MJHqdcTPG1uiPPY7KfjPEnCrbmuVr6QHebY9tWmqDHViK8j9Lka7UB932gnrhgYHl3bHcCuPYFtlsA3KOqmwHc0/rdMAzjrOCkjk1V7wWcj8HrAdzV+vkuADescL8MwzBOmVPdY+tX1eNPw05gqXgyRURuEpGdIrIzV/TkyTEMw1hBTls8UFUF/F92VfU2Vd2uqtuzKfcpbMMwjJXmVB3bpIgMAkDrf15PzTAMYw041VjRbwO4EcDHWv9/azl/lA/FcF/bBsf+pumD9PjsAFdfUgXe7a6CG4P3ivw0PfbRNjcuEQDOE+6jazlX8QGA4RDvY3eKq65R8DjJtij/mj4fdceqTf551FbmqlcsxNXPBolDBYC+sGfeM3xM4Qq/Ex+e5Eryve3rqX0o4ipflTDve7cnDvVwk1/XngIf68NtbgwiAHRXefs/Pp+PNbPAVdoLG+56eqibZ+1NNvn165/2qNfZYWoPe2rXXjXB1dipMF9PFxX4mjwY4Rmsz59xr3c+yrM9JyK87VDR9z5zr0dU+HsJWMYdm4h8CcBPAVwoIodF5H1YcmhvFJG9AN7Q+t0wDOOs4KR3bKr6Ls9Lr1/hvhgn8KNHXoGP3vGbqDXDeOsb7sP73va9te6SYZwzWOTBWUijIfjw534bd/3pp/DNWz+M79+3A/sP8a9MhmG4mGM7C3ls30ZsGJzE+oFpRKMNXPvaB/GjB7eudbcM45zBHNtZyMRMJwa7n38muq97DpOznlgswzAcVjWDbjhUR3fcVdwOdHNFqVTkmT2rHqUFEffNX5njvvviKI+PG+vmWUY3elSylEeZybVz+1CDP/KXaD4faxjTOsJoItGsIiOKhDYQ0yYyuqQaHk7w2NpEnqtnYU9s5pEQV/jiJT7vU1Ueb1lr43GSl3ARDps9tSbne0mcrkeNLoH38bI8j018Npul9oynBmd6gcfdKvhYL53kGX1zXe5a3VLhMZ4zSX49NM1VzkyIryWt8r7f08c/HK+Y9Tyt5Xk6dXeaz+V5C+7c/7idx9y+ssKfVnh9/ii1z5I6vXFPVmTA7tjOSga65nD02PMB0ROzXejvXkaOAcMwAJhjOyvZtmk/DowP4OBkL6q1ML5z/6vw+u2PrnW3DOOcYVW/ihrLIxJu4n/8zp1451/cgnozjLdfcy8uWH9krbtlGOcM5tjOUt7wysfwhlc+hrz4K/EYhsGxr6KGYQSO1VVFG0DbvKsWViO8G4c6uEqU4EIW3jzjxpw+0MFjB+vgalvnMa60ZD21OZtp3sehca5Elvo8GX1DXI3tmicZdD21LQueeqOVOv/8Ss3x2MRonKtwuTqPEXymwbNW9XXso/YjTZ6Jd2DWjR9cTHFpdT7Mr9/GRa5Obp7j9vv6hqh9pMFrf66vcUX3uXben3jdVap7wed3g6du6x6PUj86z+dmmovmOL/O1+RMil/XgTkeXzva5Mpz14J74rZuPqYHE1xZ7fco9aGIO4+VKF+/gN2xGYYRQMyxGYYROMyxGYYROMyxGYYROFZXPFBBpu4+vpAp8ISE6yM87CJX4qEh93W4GTASEb4B2vSEo+yO8k3gSpWH0lwW5REBe+O8j1nlm8/tizyJo5LTpot8Y3vcU64wFPLMgfBzJov8864zzK/TjsVxak9U+PK6tOMAte8Nr3Ns8RwPn9MMvx6zoSS1hzz7zNtm+eZ2m0c8ONTPGxo8xhMnHki4QsmF4OF8x8J8E3+ILQIAC1k+N9kSP77gKc845ynLd6jEQ+jKcb6eDve776nRPF8zQ8L7iBwXSooRt+0XyTNpd2yGYQQPc2yGYQQOc2yGYQQOc2yGYQQOc2yGYQSOk6qiInIHgOsATKnqpS3bRwD8LoDjsuWHVPW7J2urFhaMd7qnLIArIRriqszF5WPU3llxQ1XKFa4EXVidpfYsF9UQ9ihKBc/x3YtcOUp4wpuiwpNEjsXdE8Q8iQTbIjxU50nh89ge5YpVTrnalvEohY0Ij+HxJeEs53j/0zE35Cef5kphf5OHB0U9n9X5EB9Tf5gnfZwHD/nZNMPPm4jw8KZCyVXZjwzxt11Yed/jMa4gJvOeeWzy6zqb5Alds55yltEGP2+8ytfZbN1VgONx/tRA0eN6uuN8fnNtZG7Cp5do8k4A1xL7p1V1a+vfSZ2aYRjGanFSx6aq9wLgtzeGYRhnIaezx3aziDwuIneIiLfSiIjcJCI7RWRngVRqNwzDWGlO1bH9DYDzAWwFMA7gk74DVfU2Vd2uqtvTnv0SwzCMleSUHJuqTqpqQ1WbAD4HYMfKdsswDOPUOaVYUREZVNXjAYJvBfDkcv4u1GwiXXIVlYSnG0dT3D4d4cno1hPVblc7P/afGjzB4LYZrm7Vk1zhS3qKR2mTx2HmY1z9RNOjiBFhaqyDq5BdBZ6B8+IF3smJJJd0E1zQxVyWxxSGcvw6HUt40prX+FgP9ZFEhR5lrrbIVc4Heriaed0hHs+6kOZzWYnxPs6XPaUik7ydcpu7njqq/JtLN3i8aSPO10xfnR8/1c77Xgpze0eZq5zI8usa4UsbIGUe20NcoT0q/EmIBY9ym46RPvrzTC7rcY8vAbgaQI+IHAbwZwCuFpGtWKo8OAbg/SdrxzAMY7U4qWNT1XcR8+1noC+GYZwilVoEN//NB1CtR1BFGFduexTv/PX/s9bdWjOsSpVhBIBYpI5b3/8ZpOIVHE1G8Cef+AC2XfIULtw4ttZdWxMspMowAoAIkGoV4Wk0wqg3QpAX2YMKOnbHZhgBodEUvO8zH8Th2T5ce9U/44Lzxta6S2vGqjq2eiiE6ZirCF1W4eW8InVP9k2PUjaecBXQvpInzaZH2inFubKoHlX0cN2jLFa5Shaf8alnXLlsaxKJ0hMjVynxyzkb5QrUrCf+NdvB1ba9sT5qf4UnMOVIJ2+/Y5orXzumXVVtZ6adHjuY5Or1a/ZwSbfYGaP2w0muUObi/HYnUeRqbDnKlcWNVTdjclX4OYtxvja6G3ysR9vdefzvH/0kOg5HcMvnb0LxmUGcP/C8GtwuPFtwvsrHNB7jc3Cwna+zkcPuutwXG6bHXlzm630uxvsyl3avn76ILGpfRQ0jYGSTJbxy4x78bM+Wte7KmmGOzTACwGIujUJx6dtDuRbFQ/suwmgvr63wcsD22AwjAMwttOGzf/9uNJshROrANa94BK+9eFnPzQcSc2yGEQBGR8bx8Q9/AgCwbobvE7+csK+ihmEEjlW9Y4s3m9hUdBWeZxM8vk8aXP2bDnvqKZbdTyqNct89XPRk6gzx2NJKmquoqSP8+HCMK1mzHtWnqlwRKzVc5Wu0wPt+NMuVv4QnXVS8zGuozosnLXCU93EhwsfUzbsJeG4oHhp066KeX+Pq2b5kN7X3D/PrnfPEPW5Y4J3sXuBzOUcyQANAe5mfdyrjXr/zKlydnIrxea8UuYq6sTlD7fUQV51nklylnq/z9ufi/LoO5LkCnCdv44FZ/gRDrp8vgmiFK52FujumhqmihmG8nDDHZhhG4DDHZhhG4DDHZhhG4DDHZhhG4Fjd59gUCKmrZMx7lKb141yJDMe4WpomYYJHm1whasa5T++DJ56uyM+ZT3NVtNuTQbe97onz9Kixhzrd46eqvE5oCPycZRKfCwChMFe36hF+PbbMTVP7vKeUT6TIlcVYhxs/CQC9OVfpzEb5fF0yz+uBVppcuQ1VeDuzUd7HC5M8/jWkXFkcj/KY1u6Kq/7Vy7yPi56Mxk3lCuJ8s5/ap7o86qfn7X5RdYraF5pceT6c4GONiRtjnC3w99lMvYfae2NcBT8/59YSjjd8qXztjs0wjABijs0wjMBhjs0wjMBhjs0wjMBhjs0wjMCxnPJ76wD8A4B+LJXbu01VbxWRLgBfAbABSyX43qGqniqbS1TDgrF2VxHa5FE/H+riysmQJ74v1nBVvlScZ4M9HHHjEgGgJDx+sr/IFcShMs/yu0AyfgJALcqVr+4Q72fvvBuvV0nwbL4zwtW2qkdZXA8+j4eEx+42PLVPG8JjChspj3rtScbfEXOVzn1NvgY2CV9qMzE+B+kSz6wb9cQblj3q6hNtfN0sNvic9ZTc63owzpX66iJXrytpPlamuAJAvMjHtKHAr0es7Kkf6onJ3rTI1/zsBvc90mhytX9Lnse5NsJ8bU+S+q+e5QhgeXdsdQAfUNUtAF4N4PdFZAuAWwDco6qbAdzT+t0wDGPNOaljU9VxVX2k9XMOwC4AwwCuB3BX67C7ANxwpjppGIbxUnhJe2wisgHANgAPAOhX1eOVIiaw9FWV/c1NIrJTRHYWPelzDMMwVpJlOzYRyQD4OoA/VNVfeHRcVRVL+28Oqnqbqm5X1e2pNN9DMAzDWEmW5dhEJIolp/YFVf1GyzwpIoOt1wcB8LgMwzCMVWY5qqgAuB3ALlX91AkvfRvAjQA+1vr/Wyc/nSBcdxWbaoYrVhdOcfWllOb+eLHPzdZZzHMVq6/BvxbPeFTLJzp5fNzAER6zSIYJAIgqV6ainpqghUFX+erPNemxxTRXycphrjo/U+Z1QjcUuWI1F+Mxql3CswXXoryf43Fe53So7MbppiM8PlWKfA1sEjemEAAWhSuRB8NcdT0S5ur4lfv43DzYw9tfIFlro2UeyxkPceX9uQz/pnMsw+c9vMDXUm+ev8/uGxil9qonFrPoUfwHiQKcb+djHYvztdTnecog2nTfUPoi92XLCYJ/DYDfBvCEiDzWsn0ISw7tqyLyPgAHAbxjGW0ZhmGccU7q2FT1fsCbXPz1K9sdwzCM08ciDwzDCBzm2AzDCBzm2AzDCBxrUAne9aXHajzOLpvkCslIk9sXq65aMx/jCk4biSsFgIEFbh/2xCbWPZl4q1U+pkSGZ+jNJXk7iYYbrxeKc7WxLcJVrNFFT7xsgV/+Z5NcKUSKq64h8HjAfJafN97k6lyCxAkuhLlKPQDeRj3E56AZ58d3lPj1LoPbf9bPs8oO1HlW4GTe3Z6e9KyZYY8K2T7F56AU4Rl0e4r8/fGUJ9PxBTN8bY8nuRo7nPS8F8bdJwdG4zwTcXGRvy+R8mTcJZmO9UXqiq6BYzOM55mbbceXbn878osZRLWJa17zU7zl6nvXulvGOY45NmNNCYea+I13fA8jo0fRNdfABz/+R7jswt0YGZxc664Z5zC2x2asKW0dOYyMHgUAJBMVDA9MYnaBPwxtGMvFHJtx1jA104mxwyPYNHpwrbtinOPYV1HjrKBSjuGvb/+3uPFt30QqyTfuDWO5rKpjC2kTCXXVqd6mG+MJAONhHlNYKnE1JEXavijvqT/pSzTSwftSj3uy1lZ5LFxnhatkiQpXNPNJfilYHtdKkreRqPC+IMTVzI4Qz6A7VOCZU7tifEzPxrhSOORRniX9i+et18P45K0345e2P4Z/te0ZNHDCODwZVXNRPtZwmX8JidCZBLryXEE82saP7yjyGOPRJp/LR9OuclnzxAv/NMzn8XxwFXK4wGNF93TwuNVojY8pX+fXu+j5Qhea4etpoc1VLqNF/nRAJsUV8/4ZvmY21Nz39leqfG0AdscWaD7++bfhZ09eiK5MDvZT1TMAABKqSURBVF/444+tdXcoqsDf3fYeDA2P4y2vv2+tu2MEBHNsAeZNr34EN1z1M3z8rretdVe87Nm9CffffyXWrTuMDz6xBQDwb37j+9h6yTNr3DPjXMYcW4C5fNMYJmZ42qazhQsv2ofPf/EmAIDMnt19Nc4dTBU1DCNwrK54ACBddze+p7J8U/PIIg/tGQ4foPYJdRWBi5M8UeHTMR5f0pfnm9JRT7jLbk/SxPYiFyESDZ5ouFric9CTcTfso+B9YeFXpUYEDRG62V5JeDba63xzeG+Wh/ZE01xUiBb5pnSzwp9Tm0+7otDIYb7R/liSJ8kcbdtH7bE5T5m9tCfpo6dEYDrEhZtclM/lENzElItRHoJWU96X3goXwPZ7kmRum/QkClV+RzzsWZO+TP7NEB9rdMEdVyTLBY5Shs/jTImvsflOdx2U4/6QKrtjMwwjcJhjMwwjcJhjCzC33PVe3PiZP8LhyV785of/FN/76Y617pJhrAqmigaYj914JwBgOsT37wwjqNgdm2EYgWM55ffWAfgHLFV6VwC3qeqtIvIRAL8L4Ljs+CFV/e6LtdUICeaybthFYp7718vnuFozPsKT1C2KK+MUFnhix4UYVzPLyqdEPckUL2py1bXhUb4eTq+j9uvmDlH7sYirlGWEh53kybEA0JnnKudYmPeR65BAzwxXoTI5HtrS7UkIuruTl7brLLhq74EsD8kZLUxQuxS5UvikR0Ut1PhoYwk+x108EgjjGY+iWXTHlCDJJwEAnkSQc8qv08EEn5vOsKeTnpKFXxy9gNq3To9T+0QXb2cw7qrjc8IV8EiOK/vrq/z9uphz50D8EVXL+ipaB/ABVX1ERLIAHhaRu1uvfVpVP7GMNgzDMFaN5ZTfGwcw3vo5JyK7AAyf6Y4ZhmGcKi9pj01ENgDYBuCBlulmEXlcRO4QEXojLSI3ichOEdlZLPDMCIZhGCvJsh2biGQAfB3AH6rqIoC/AXA+gK1YuqP7JPs7Vb1NVber6vaU71FmwzCMFWRZjk1Eolhyal9Q1W8AgKpOqmpDVZsAPgfAHpIyDOOsYDmqqAC4HcAuVf3UCfbB1v4bALwVwJMnayusTXRV3IR8h1M8hq2Q4OrRxYs8dm4h7CpZk2medC8MHst5JMLvKrcUudJUbvBnxKJxrkRuyfNyZLs7eT+7qq5q92yKq4pJj0x0pI1f5syMJ4kjD/FE1VMicFeSK8yb53lDE0muRCbm3XENz3F1Mpzk1+9HiUFq1zjfBrmwcozaG1V+XaczXOU7GuPrZrDhxm0mQ3wtrRNuL0X42thR4gVvdiaHeDujfE1unefqZ7bK4znjs55rEneVTvXcO6V5V7BvkD/xUM6789sQz0LF8lTR1wD4bQBPiMhjLduHALxLRLZi6emAMQDvX0ZbhmEYZ5zlqKL3A7Qy6Ys+s2YYhrFWWOSBYRiBwxybYRiBwxybYRiBY1WzeygE1bCregzluWIVKXKF5ECcBz6IuIpr0ZOVNOopObZp3i3zBQDxGm9nsYf3saPB4yQn6lxVKzW4AtUWd5WvNk95vJ4iVxsbnVz9jJV5rGGyyT/vwlEuZSkX7fBoHw9+rMxzFbyv4paZa2S4An60wedx2xyP3f15B48hnQ/xOMzxOD++q8bX6rY5nkX48bSrUL6ucIQeW63ziUx4FOBCih9/RZW3PzXP1+psg6vsmXauus5G+LrBvKuOJxNcdQ43ubJ6yTh/EuJYxlWXY8rjTQG7YzMMI4CYYzMMI3CYYzMMI3CYYzMMI3CYYzMMI3CsqipakzAOi6uoSJSreUVP3NhwiStTqYZ7fKnIY/i6m7yNUJarcPPaRe0+9bPW4GrbbBdXKNu5GAvMuWrsTJzXXgSJlQUAmeUq6iPdvI8DVT4HReXtNCp8GW2e50qhRF31EwAm4KpzU1UehxpNcYU2tsD7Eq9wta1BatECQH+U18McWOAXqhni7W9UNw6zQbLBAkC2jbc9XOLX4/vdm6n96nmejXk+w+Nf58Jckd+V4Kq21PkTAleQuNtdnlq0AySzMAD8TEepfaR21LGpWl1RwzBeRphjMwwjcJhjMwwjcJhjMwwjcJhjMwwjcKxuJXhRhGKuGhJrcqVw/RxXHCdjXFUazbuxos91ceWko8CVoCgXfJDxKLEHPMpiNw/vQ6bIp3yDR/lqJtz5OtTO1a3JAo/5W+dROSsJriw2C54Y3Q4+1o2eWN9aiM9xsswVsRFx+zkT5WONl/g8HvLU1ai0c8W4f4HPQbLkyRLb4Ap+wRM+mai59w7P8tKySDf5vO8pcXXyl4/wzLdHU/w6+Z4mGKnwzL0HevgcpxY8BT0b7vEb5/h8VTx1ejenDlJ7PuS+MV9EFLU7NsMwgoc5NsMwAoc5NsMwAoc5NsMwAsdJHZuIJETkQRH5uYg8JSIfbdnPE5EHRGSfiHxFRPjOp2EYxiqzHFW0AuAaVc23CiffLyLfA/BHAD6tql8Wkb8F8D4sVYf3Em4C7STLa98iV6ae6ONS09UTbtwYADwy6MZzRjwK3Gya++FKlSuLl+lz1J5b7Kb2bI3LoqPgdUWrns+FcM29RI0qn6/FBJd0ZzzqZE+OxyZKlPd9ZI7Hii4Kz+TaUePK4t4Yn+ONTTeGtKlcVat5hLlmmsenNkgcKgBE6rz9fSmuRDYyfD2lhY+1s+S2nz7mqfOadrPEAsCuZB+17/HUou0tcJWzK8LfNw+lzqf2kSqfy4SnZu7RlLv+Khm+xrq4UI8QuAqeqrjzHuKXrtXOSdAljj9HEW39UwDXAPhay34XgBtO1pZhGMZqsKw9NhEJt4olTwG4G8B+APOq/5J0/DAAXojAMAxjlVmWY1PVhqpuBTACYAeAi5Z7AhG5SUR2isjOYoE/IGgYhrGSvCRVVFXnAfwQwJUAOkTk+GbBCABaGkdVb1PV7aq6PeV5KtwwDGMlWY4q2isiHa2fkwDeCGAXlhzc21uH3QjgW2eqk4ZhGC+F5aiigwDuEpEwlhzhV1X1OyLyNIAvi8hfAHgUwO0na6gBQU7cjJqjwtWXeJ3f4X3u/C3U/juTDzm2KeVbf9UGV7GyVa4oTSd5X7Jw41MBYH2ZK4uHE1ydi0W52nYg7aqucRKTBwC9Bd6XWeV1PGeyvJ2uHJ8DT3lSlD11L+c92W9jCU/cbcVVtfNl3kYoztW2Po/Su22Kxx0/E+fqZ7jJx7TFM8edwjPu5kg87jMhrkJqncdPptr4fPUVeV9mPLHU+ecGqX10eIKfN8/Xx2QHVy4XC+71u3SGtz3leSohHebZlcsVt45sE/5g0ZM6NlV9HMA2Yj+Apf02wzCMswqLPDAMI3CYYzMMI3CYYzMMI3CYYzMMI3CsagbdcFPRVnDVppmIRz0L8Zi0y2e4iloquqpMLsbVl8UeHj/5TKGf2jsbXPVqq3CpcE+ctz/oaedAnM9BB1Fds54svOqJ4avNcCX2Ipmi9mdDPP61p8AVq00VrjA/0cn7ma7wuflJyJ37X+7eTY8NLfK298cHqH19gffxmU4+72/K76H2RI7fC/wkex4/76Ib/3lxZJIeWy5xNXMuysc6XeF978lzBbie4mu1K8/XTSXOxzrimUtVdz1NNLnqHFMeM90/x58OOEieGmiKP1jU7tgMwwgc5tgMwwgc5tgMwwgc5tgMwwgcqyoeNCKK2W53o7I7zzfUNxzlm96TvTzEZH+7m3ivVOFhF92esmDZ9jFqr8x7EkoKDz+aCbuhYwAwoTx5ZqbOQ4GSpNzbcyne9ojwEJsjI3zTuF7moTHZMM8CWK/wz8FZzyb2cIGPKdfgx/euc8WJy5/jfflpO69hd1mBJ2ucFz7WN8/tpXaE+Lq5e2MvtQ96yvi1qdv/2TBfA2PrPQk7hY9pUPn7ZqyLv2/is1y0KaS4PVPgYyqDr79i2l2r2/PP0GN3Nfk8/vPQCLVft9sNzUo2eL8Bu2MzDCOAmGMzDCNwmGMzDCNwmGMzDCNwmGMzDCNwrKoqGq8rNs25Sst0Jy8bV4pyZSoS5vbegquSFEM8vORggidfTOZ4250hrjh2eMKJwgtcOUp28HCw6QYPPanX3fY1xsNOJitD1L5VeAhPzzQPN9vdz6/Ht3rXU/uG0jS1dypvZ3OBq3mX7nHL++3u4epZiE87JqO8ROBUnCuRlwpXXfdm+PG/PM3HujfJ19NExC2dV/CUWuyY8oQIKVc56+Dz24xwtTBb5Or4+hJX9qfCPdQ+HefqbXzRXdt7G1zlRIj35Ypx/v54ot99KqEU8bsvu2MzDCNwmGMzDCNwmGMzDCNwmGMzDCNwmGMzDCNwnFQVFZEEgHsBxFvHf01V/0xE7gRwFYCF1qHvVdXHXrQtALGmq4ZMV7jqk4zxEmh9C1w9OpZxFbGNFa6yTES4otRf4fGNYeWfARPKY0g1zVUfT/5J1D0fMQ0SDxf2xMiNlHkiyDC4CvfjYa7k9TUXqP2G0hPUPj/L1dhwmF+nSoz3PxRz5/6+JFfVLizw69pX4tev2cnnZmeCK3/pKu/jg1Fewq7fo46PJ9242A0zvI/TvXwRDNX4+6Awy5XbtjxXzcsdXAF+tumWtgOAXIgr++MJbr+o5D5R0O55mmAhxOO9jwhXwYdIUtQI+DiXXjs5FQDXqGpeRKIA7heR77Ve+8+q+rVltGEYhrFqLKeuqAL/kp862vrnz8lrGIaxxixrj01EwiLyGIApAHer6gOtl/5SRB4XkU+L8LwwInKTiOwUkZ35Ir/9NAzDWEmW5dhUtaGqWwGMANghIpcC+CCAiwBcAaALwH/x/O1tqrpdVbdnUukV6rZhGIafl6SKquo8gB8CuFZVx3WJCoC/B7DjTHTQMAzjpbIcVbQXQE1V50UkCeCNAP5KRAZVdVxEBMANAJ48WVsVCWF/1L1ru2qSK1a5FN/Ka6tyVakRcxWocoHfJYaUlzoLRXjc3N44j+W8rMoVxKJHdS1H+GdJKsbnoFEiymXZNyYeE7rzPJ49FiWu3D4oXPl7xSzPfJtt4wolFvkcV8q8nYfXuep4usq3LzLg52yLcAUxl+PK31yCK/LpGr8ekQ5uL1T4HG9YcNfT3rhHiS3zdZ1QPqa5AZ5Zdy7Cx3TBJF+TtQpXzasp3h8hTx8AgPa5c5Of4y6m2xPvLBUe2x0l8yvK47qB5amigwDuEpEwlu7wvqqq3xGRf2o5PQHwGIDfW0ZbhmEYZ5zlqKKPA9hG7NeckR4ZhmGcJhZ5YBhG4DDHZhhG4DDHZhhG4JClwIJVOpnINICDrV97ABxbtZOvLS+Xsb5cxgnYWM8GRlWVBpeuqmP7hROL7FTV7Wty8lXm5TLWl8s4ARvr2Y59FTUMI3CYYzMMI3CspWO7bQ3Pvdq8XMb6chknYGM9q1mzPTbDMIwzhX0VNQwjcJhjMwwjcKy6YxORa0Vkt4jsE5FbVvv8ZxIRuUNEpkTkyRNsXSJyt4jsbf3P04ScY4jIOhH5oYg8LSJPicgftOyBG6+IJETkQRH5eWusH23ZzxORB1pr+SsinhLv5xitxLKPish3Wr+fc+NcVcfWyhDyWQBvBrAFwLtEZMtq9uEMcyeAa19guwXAPaq6GcA9rd+DQB3AB1R1C4BXA/j91rUM4niP1/24HMBWANeKyKsB/BWAT6vqJgBzAN63hn1cSf4AwK4Tfj/nxrnad2w7AOxT1QOqWgXwZQDXr3Ifzhiqei+A2ReYrwdwV+vnu7CUu+6cp5Vo9JHWzzksvRGGEcDxthKqsrof1wA4XswoEGMVkREAvwbg71q/C87Bca62YxsGcOiE3w+3bEGmX1XHWz9PAOhfy86cCURkA5ZSWz2AgI73hXU/AOwHMK+qxzMmBmUtfwbAHwM4Xn+wG+fgOE08WEVaFb8C9XyNiGQAfB3AH6rqL6S1DdJ4X1j3A0v1PgKFiFwHYEpVH17rvpwuy8mgu5IcAbDuhN9HWrYgM3lCGvVBLH3iB4JWndmvA/iCqn6jZQ7seIGluh8i8kMAVwLoEJFI624mCGv5NQB+Q0TeAiABoA3ArTgHx7nad2wPAdjcUlliAN4J4Nur3IfV5tsAbmz9fCOAb61hX1aM1t7L7QB2qeqnTngpcOMVkV4R6Wj9fLzuxy4sFTZ6e+uwc36sqvpBVR1R1Q1Yem/+k6q+G+fgOFc98qD1afAZAGEAd6jqX65qB84gIvIlAFdjKc3LJIA/A/CPAL4KYD2WUja9Q1VfKDCcc4jIawHcB+AJPL8f8yEs7bMFarwichmWNs1PrPvx5yKyEUsCWBeARwH8Vqtq2zmPiFwN4D+p6nXn4jgtpMowjMBh4oFhGIHDHJthGIHDHJthGIHDHJthGIHDHJthGIHDHJthGIHDHJthGIHj/wMueQ0PsNCPJAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Load the sample images\n", "idx = 53\n", @@ -256,6 +167,7 @@ "peaks = data[\"peaks\"]\n", "psfs = data[\"psfs\"]\n", "filters = [\"G\", \"R\", \"I\", \"Z\", \"Y\"]\n", + "\n", "# Only a rough estimate of the background is needed\n", "# to initialize and resize the sources\n", "bg_rms = np.std(images, axis=(1,2))\n", @@ -263,6 +175,7 @@ "\n", "# Use Asinh scaling for the images\n", "norm = AsinhMapping(minimum=images.min(), stretch=images.max()/20, Q=10)\n", + "\n", "# Convert the image to an RGB image\n", "img_rgb = scarlet.display.img_to_rgb(images, norm=norm)\n", "plt.imshow(img_rgb)\n", @@ -272,6 +185,42 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Psf display " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also takea look at the `psfs`" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "show_psfs(psfs, filters)" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -287,22 +236,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 112, + "metadata": {}, + "outputs": [], + "source": [ + "from functools import partial" + ] + }, + { + "cell_type": "code", + "execution_count": 113, "metadata": {}, "outputs": [], "source": [ "# Create a PSF image of a narrow gaussian to use as our image PSF\n", - "model_psf = scarlet.generate_psf_image(scarlet.gaussian, shape=(41, 41), amplitude=1, sigma=.9)\n", + "amplitude=1.\n", + "model_psf = scarlet.PSF(partial(scarlet.psf.gaussian, sigma=0.9), shape=(None,41, 41)).image * amplitude\n", "model_psf /= model_psf.sum()\n", "# Make sure that the observation PSF is normalized (otherwise the scaling in PSF matching might be off)\n", "psfs = psfs / psfs.sum(axis=(1, 2))[:, None, None]\n", + "\n", "# Create the initial frame (metadata for the model).\n", "# Note that we initialized a PSF with shape (Ny, Nx) but a frame\n", "# expects a PSf with shape (bands, Ny, Nx), so we have to\n", "# broadcast the model_psf into an extra dimension\n", - "frame = scarlet.Frame(images.shape, psfs=model_psf[None])\n", + "frame = scarlet.Frame(images.shape, psfs=model_psf, channels=filters)\n", + "\n", "# Create our observation\n", - "observation = scarlet.Observation(images, psfs=psfs).match(frame)" + "observation = scarlet.Observation(images, psfs=psfs, channels=filters, weights=weights).match(frame)" ] }, { @@ -315,22 +276,45 @@ "\n", "The different classes that inherit from `Source` mainly differ in how they are initialized, and otherwise behave similarly during the optimization routine. This section illustrates the differences between different source initialization classes.\n", "\n", - "The simplest source is a single component intialized with only a single pixel (at the center of the object) turned on.\n", - "\n", "### *WARNING* \n", "Scarlet accepts source positions using the numpy/C++ convention of (y,x), which is different than the astropy and LSST stack convention of (x,y)." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below we demonstrate the usage of `ExtendedSource`, which initializes each object as a single component with maximum flux at the peak that falls off monotonically and has 180 degree symmetry." + ] + }, { "cell_type": "code", - "execution_count": null, + "execution_count": 114, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "sources = [scarlet.PointSource(frame, (peak[1], peak[0]), observation) for peak in peaks]\n", + "sources = [scarlet.ExtendedSource(frame, (peak[1], peak[0]), observation) for peak in peaks]\n", "\n", "# Display the initial guess for each source\n", - "display_sources(sources, observation, norm=norm)" + "scarlet.display.show_sources(sources,\n", + " norm=norm,\n", + " observation=observation,\n", + " show_rendered=True,\n", + " show_observed=True)\n", + "plt.show()" ] }, { @@ -339,7 +323,7 @@ "source": [ "## Exercise:\n", "\n", - "* Experiment with the above code by using `ExtendedSource`, which initializes each object as a single component with maximum flux at the peak that falls off monotonically and has 180 degree symmetry; and using `MultiComponentSource`, which models a source as two components (a bulge and a disk) that are each symmetric and montonically decreasing from the peak.\n", + "* Experiment with the above code by using ; and using `MultiComponentSource`, which models a source as two components (a bulge and a disk) that are each symmetric and montonically decreasing from the peak.\n", "\n", "# Deblending a scene\n", "\n", @@ -348,7 +332,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 115, "metadata": {}, "outputs": [], "source": [ @@ -364,16 +348,138 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 116, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 374 ms, sys: 2.04 ms, total: 376 ms\n", + "Wall time: 375 ms\n", + "scarlet ran for 37 iterations to logL = 7726.973798470312\n" + ] + }, + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'log-Likelihood')" + ] + }, + "execution_count": 116, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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5nmiWAU0p+81BWcYb75/RQAARyXK5nmimxcxuMrMdZrajra0t6nAA2NrQSWVJjHVL1T8jItkt1xNNC7A8Zb8mKDuKu2929zp3r1uwYMGMBXc82xo7OH9VlfpnRCTr5Xqi2Q6sMbNVZlYM3ABsiTimKbX2DNLQ1seFWn9GRHJALOoAwuTuo2Z2M/AgUAh8x91fjjisKWn9GRHJJTmdaADc/X7g/qjjOBHbGjuoKIlxpvpnRCQH5HrTWVba1tDJeSvnESvUfx4RyX76Jcsw7b1DvN7aq2lnRCRnHLfpzMyuPd5xd/9ResORZxvVPyMiuWWqPpprgueFwHuAx4L99wFPA0o0abatoYOy4kLeuWxO1KGIiKTFcRONu38CwMweAta5+4Fgfwnw3dCjy0Nbg/6ZIvXPiEiOmO6v2fKxJBM4BKwIIZ681tk3zJ5DPWo2E5GcMt3hzY+a2YPAncH+R4FHwgkpf431z+hGTRHJJdNKNO5+s5l9CLgkKNrs7veFF1Z+2rm/k+JYAWfVzI06FBGRtDmRGzafBkYBB54NJ5z81tDWx+r55RTH1D8jIrljWr9oZnY9yeRyHXA9sM3MrgszsHzU2NHHqvnlUYchIpJW063RfBE4391bAcxsAck+mh+GFVi+GY0neKOjn41nLo46FBGRtJpuG03BWJIJdJzAa2UaWroHGE04tarRiEiOmW6N5oFJRp1l1USVma6hvQ+A1Uo0IpJjpjvq7M+D6WguDoo06izN9gWJRjUaEck1JzLq7JfACBp1ForG9j4qS2NUlxdHHYqISFpp1FmGaGxPjjgz09LNIpJbNOosQzS293HeynlRhyEiknYadZYBBkfitHQPUFut/hkRyT0adZYBmjr7cYfVC5RoRCT3nMiosw8DFwVFGnWWRmNDmzUrgIjkommPOnP3e4F7Q4wlb2los4jksumOOrvWzF43s8NmdsTMeszsSNjB5YvG9j7mVxQzu7Qo6lBERNJuujWarwPXuPvuMIPJV43tfRoIICI5a7ojxw4pyYRn7B4aEZFcdNwaTTDtDMAOM7sb+DEwNHbc3X8UYmx5oW9olNaeIfXPiEjOmqrp7JqU7X7gqpR9B5RoTlGjJtMUkRx33ETj7p+YqUDyVaNGnIlIjpuq6ewv3P3rZvZ/SdZgjuLunwktsjwxPrRZgwFEJEdN1XQ2NgBgR9iB5KvG9j6WzCllVnFh1KGIiIRiqqaz/wie75iZcPJPY4dGnIlIbjvu8GYz+w8z23KsRxgBmdmXzazFzHYFj/enHPuCmdWb2R4z+42U8o1BWb2Z3ZJSvsrMtgXld5tZxi320tjep/4ZEclpUzWd/c2MRPF2t7n7UZ9tZuuAG4AzgaXAI2Z2RnD4m8CVQDOw3cy2uPsrwNeC97rLzP4J+CRw+0x9ial09Q3T3T+iEWciktOmajr7+di2mc0CVrj7ntCjmtwm4C53HwIazaweuCA4Vu/uDUGcdwGbzGw3cBnw8eCcO4Avk0GJprFDAwFEJPdNd66za4BdwAPB/jlhNZ0FbjazF8zsO2Y2thrYMqAp5ZzmoOxY5dVAt7uPTijPGGMjzlZpeQARyWHTnYLmyyRrD90A7r4LWHWyH2pmj5jZS5M8NpGscZwGnAMcAL5xsp9zAvHcZGY7zGxHW1tb2B83rrG9jwKD5fPKZuwzRURm2nQn1Rxx98MT1rN/23010+XuV0znPDP7FvDTYLcFWJ5yuCYo4xjlHcBcM4sFtZrU8yfGsxnYDFBXV3fS3+tENbb3sbyqjOKYFisVkdw13V+4l83s40Chma0JbuB8OoyAzGxJyu6HgJeC7S3ADWZWYmargDXAs8B2YE0wwqyY5ICBLe7uwOPAdcHrbwR+EkbMJ0uzNotIPphuovkTkqO9hoB/B44Anw0ppq+b2Ytm9gLwPuBPAdz9ZeAe4BWSfUWfdvd4UFu5GXiQ5A2m9wTnAnwe+FwwcKAa+HZIMZ8wd9eszSKSF6bbdPYxd/8i8MWxAjP7KnDLsV9yctz9d49z7Fbg1knK7wfun6S8gbdGpmWUtp4h+ofjrNZAABHJcdNNNB82s0F3/z6Amf0DMCu8sHJfg+Y4E5E8Me1EA2wxswSwkeSw4U+GF1buGx/arKYzEclxU83eXJWy+wckFz77JfBXZlbl7p1hBpfLGtv7KC4sYOlcVQxFJLdNVaPZSXIYs6U8/2bwcGB1qNHlsMb2PlZWl1FYYFOfLCKSxaaaguakb8qU49NkmiKSL6ZqOrvM3R8zs2snO+7uWsr5JMQTzv7Ofi5buzDqUEREQjdV09mvA48B10xyzAElmpPwZvcAw6MJ1WhEJC9M1XT2peD5ExOPmdmHwwoq1+3r0IgzEckfpzLJ1m1piyLPNGpos4jkkVNJNBoudZIa2vooKy5kYWVJ1KGIiITuVBLNjM1ynGv2dSQn05wwG7aISE6aatTZi0yeUAxYFEpEeaCxvY/1y+ZEHYaIyIyYatTZB2YkijwyPJqguWuAa85aGnUoIiIzYqpRZ/snlpnZB9z9p5OdL1Nr6uonnnANBBCRvHEyfTRfSXsUeWRsMk3dQyMi+eJkEo16sE/B2NDm1Uo0IpInTibR/FHao8gjje19zJlVxLzy4qhDERGZEdNaj2biXGdmVgMcBl5099YwAstVWr5ZRPLNdBc++yTwbuDxYP9SkksIrDKzr7j7v4UQW07a197HhtXVUYchIjJjpptoYsA73P0QgJktAr4HXAg8CSjRTMPAcJw3Dw9qIICI5JXp9tEsH0sygdagrBMYSX9YuUmTaYpIPppujeYJM/sp8INg/7qgrBzoDiWyHLRPk2mKSB6abqL5NHAtcHGwfwdwr7s78L4wAstFDbqHRkTy0LQSjbu7mf0CGCY599mzQZKRE7CvvY8FlSVUlEw3v4uIZL9p9dGY2fXAsySbzK4HtpnZdWEGlos0tFlE8tF0/2n9ReD8sXtmzGwB8Ajww7ACy0X7Ovq4fK0mvRaR/DLdUWcFE27M7DiB1wrQOzRKe+8wK+eXRR2KiMiMmm6N5gEzexC4M9j/KHB/OCHlpuaufgCWz1OiEZH8Mt3BAH9uZh8GLgqKNrv7feGFlXuaOgcAWF6lRCMi+WXaw5/c/V7g3hBjyWljNZqaebMijkREZGYdt5/FzHrM7Mgkjx4zO3KyH2pmHzGzl80sYWZ1E459wczqzWyPmf1GSvnGoKzezG5JKV9lZtuC8rvNrDgoLwn264PjtScbbzo0dQ4wq6iQas3aLCJ55riJxt0r3X32JI9Kd599Cp/7EskbQJ9MLTSzdcANwJnARuAfzazQzAqBbwJXA+uAjwXnAnwNuM3dTwe6SE4ASvDcFZTfFpwXmeaufmrmzcJMy/mISH6JZOSYu+929z2THNoE3OXuQ+7eCNQDFwSPendvcPdh4C5gkyV/tS/jrWHWdwAfTHmvO4LtHwKXW4S/8s1dA2o2E5G8lGlDlJcBTSn7zUHZscqrgW53H51QftR7BccPB+dHoqmrXwMBRCQvhTYXipk9Aiye5NAX3f0nYX3uyTCzm4CbAFasWJH29z88MELP4KhqNCKSl0JLNO5+xUm8rAVYnrJfE5RxjPIOYK6ZxYJaS+r5Y+/VbGYxYE5w/mSxbgY2A9TV1aV9DremTt1DIyL5K9OazrYANwQjxlYBa0jOsbYdWBOMMCsmOWBgSzCx5+Mk52ADuBH4Scp73RhsXwc8FtVEoM1dyXtoapRoRCQPRZJozOxDZtZMcnnonwWzDuDuLwP3AK8ADwCfdvd4UFu5GXgQ2A3cE5wL8Hngc2ZWT7IP5ttB+beB6qD8c8D4kOiZNj4rQJWazkQk/0QyX30wq8CkMwu4+63ArZOU388k0964ewPJUWkTyweBj5xysGnQ3DVARUmMObOKog5FRGTGZVrTWU5q6tQ9NCKSv5RoZkDyHhr1z4hIflKiCZm709zVr/4ZEclbSjQh6+ofoW84rhqNiOQtJZqQadZmEcl3SjQhG1+HRjUaEclTSjQhG6/RqI9GRPKUEk3Imrr6mTOriNmluodGRPKTEk3ItDyAiOQ7JZqQNXX2q39GRPKaEk2IkvfQqEYjIvlNiSZE7b3DDI0mtOCZiOQ1JZoQNekeGhERJZowaR0aERElmlCNraypGo2I5DMlmhA1dw1QVV5MeUkky/6IiGQEJZoQNXf1s1y1GRHJc0o0IdI6NCIiSjShSSSclq4BzXEmInlPiSYkrT1DDMcTqtGISN5TognJ2KzN6qMRkXynRBOSt27WVI1GRPKbEk1ImjvHbtZUjUZE8psSTUiauvpZUFlCaVFh1KGIiERKiSYkmrVZRCRJiSYkTV1ah0ZEBJRoQjEaT3Cge1A1GhERlGhCcfDIIKMJ1zo0IiIo0YTireUBVKMREVGiCcFYolEfjYiIEk0omjr7MYMlc0ujDkVEJHKRJBoz+4iZvWxmCTOrSymvNbMBM9sVPP4p5dh5ZvaimdWb2d+bmQXlVWb2sJm9HjzPC8otOK/ezF4ws3Nn6vs1dw2weHYpJTHdQyMiElWN5iXgWuDJSY7tdfdzgsenUspvB/4QWBM8NgbltwCPuvsa4NFgH+DqlHNvCl4/I5q6+tU/IyISiCTRuPtud98z3fPNbAkw2923ursD3wM+GBzeBNwRbN8xofx7nrQVmBu8T+haugbUPyMiEsjEPppVZvYrM/u5mb03KFsGNKec0xyUASxy9wPB9kFgUcprmo7xmqOY2U1mtsPMdrS1tZ1S8CPxBAcOa1YAEZExoS1mb2aPAIsnOfRFd//JMV52AFjh7h1mdh7wYzM7c7qf6e5uZn6isbr7ZmAzQF1d3Qm/PtWB7kESrlmbRUTGhJZo3P2Kk3jNEDAUbO80s73AGUALUJNyak1QBnDIzJa4+4Ggaaw1KG8Blh/jNaEZXx5AK2uKiAAZ1nRmZgvMrDDYXk2yI78haBo7YmYbgtFmvweM1Yq2ADcG2zdOKP+9YPTZBuBwShNbaN5a8Ew1GhERiG5484fMrBl4N/AzM3swOHQJ8IKZ7QJ+CHzK3TuDY/8V+BegHtgL/GdQ/lXgSjN7Hbgi2Ae4H2gIzv9W8PrQNXcNUFhgLJmje2hERCDEprPjcff7gPsmKb8XuPcYr9kBrJ+kvAO4fJJyBz59ysGeoKbOfhbPLiVWmFGVRRGRyOjXMM2auwZYrv4ZEZFxSjRplrxZU/0zIiJjlGjSaGg0zqEjQxoIICKSQokmjVq0PICIyNso0aTR+PIAWvBMRGScEk0ajd+sqRqNiMg4JZo0au4aoKjQWDRb99CIiIxRokmj5q4Bls6dRWGBRR2KiEjGUKJJo6ZOrUMjIjKREk0aNWsdGhGRt1GiSZOB4TjtvUOq0YiITKBEkyYt3cGszRraLCJyFCWaNGnq1M2aIiKTUaJJE61DIyIyOSWaNFk0u5Sr1i1ifkVJ1KGIiGSUSNajyUVXnbmYq85cHHUYIiIZRzUaEREJlRKNiIiESolGRERCpUQjIiKhUqIREZFQKdGIiEiolGhERCRUSjQiIhIqc/eoY8goZtYG7D/Jl88H2tMYTpiyJVbFmV7ZEidkT6yKM2mluy+Y7IASTRqZ2Q53r4s6junIllgVZ3plS5yQPbEqzqmp6UxEREKlRCMiIqFSokmvzVEHcAKyJVbFmV7ZEidkT6yKcwrqoxERkVCpRiMiIqFSohERkVAp0aSJmW00sz1mVm9mt0Qdz7GY2T4ze9HMdpnZjqjjSWVm3zGzVjN7KaWsysweNrPXg+d5UcYYxDRZnF82s5bguu4ys/dHGWMQ03Ize9zMXjGzl83ss0F5Rl3T48SZUdfUzErN7Fkzez6I86+C8lVmti3427/bzIqjjHOKWL9rZo0p1/ScGYlHfTSnzswKgdeAK4FmYDvwMXd/JdLAJmFm+4A6d8+4G8zM7BKgF/ieu68Pyr4OdLr7V4MEPs/dP5+BcX4Z6HX3v4kytlRmtgRY4u7PmVklsBP4IPD7ZNA1PU6c15NB19TMDCh3914zKwJ+AXwW+BzwI3e/y8z+CXje3W/P0Fg/BfzU3X84k/GoRpMeFwD17t7g7sPAXcCmiGPKOu7+JNA5oXgTcEewfQfJH6BIHSPOjPbGlqQAAARmSURBVOPuB9z9uWC7B9gNLCPDrulx4swontQb7BYFDwcuA8Z+uCO/nnDcWCOhRJMey4CmlP1mMvAPJeDAQ2a208xuijqYaVjk7geC7YPAoiiDmcLNZvZC0LQWeRNfKjOrBd4FbCODr+mEOCHDrqmZFZrZLqAVeBjYC3S7+2hwSsb87U+M1d3HrumtwTW9zcxKZiIWJZr8c7G7nwtcDXw6aAbKCp5s583Utt7bgdOAc4ADwDeiDectZlYB3Av8N3c/knosk67pJHFm3DV197i7nwPUkGzJWBtxSMc0MVYzWw98gWTM5wNVwIw0mSrRpEcLsDxlvyYoyzju3hI8twL3kfxjyWSHgjb8sbb81ojjmZS7Hwr+sBPAt8iQ6xq0z98LfN/dfxQUZ9w1nSzOTL2mAO7eDTwOvBuYa2ax4FDG/e2nxLoxaKZ0dx8C/pUZuqZKNOmxHVgTjD4pBm4AtkQc09uYWXnQ2YqZlQNXAS8d/1WR2wLcGGzfCPwkwliOaeyHO/AhMuC6Bh3C3wZ2u/vfphzKqGt6rDgz7Zqa2QIzmxtszyI5+Gc3yR/x64LTIr+ecMxYX035B4aR7EuakWuqUWdpEgy9/D9AIfAdd7814pDexsxWk6zFAMSAf8+kOM3sTuBSktOZHwK+BPwYuAdYQXL5huvdPdKO+GPEeSnJJh4H9gF/lNIPEgkzuxh4CngRSATFf0my/yNjrulx4vwYGXRNzewskp39hST/kX6Pu38l+Lu6i2RT1K+A3wlqDJE5TqyPAQsAA3YBn0oZNBBePEo0IiISJjWdiYhIqJRoREQkVEo0IiISKiUaEREJlRKNiIiESolGJCRm1hs815rZx9P83n85Yf/pdL6/SDop0YiErxY4oUSTcqf5sRyVaNz9PScYk8iMUaIRCd9XgfcG63/8aTDZ4f82s+3B5IZ/BGBml5rZU2a2BXglKPtxMAHqy2OToJrZV4FZwft9Pygbqz1Z8N4vWXLdoY+mvPcTZvZDM3vVzL4f3B0uErqp/tUkIqfuFuDP3P0DAEHCOOzu5wez5/7SzB4Kzj0XWO/ujcH+f3H3zmAake1mdq+732JmNwcTJk50Lcm76c8mOXPBdjN7Mjj2LuBM4E3gl8BFJNcpEQmVajQiM+8q4PeCKdy3AdXAmuDYsylJBuAzZvY8sJXkxK1rOL6LgTuDySgPAT8nOVPv2Hs3B5NU7iLZpCcSOtVoRGaeAX/i7g8eVWh2KdA3Yf8K4N3u3m9mTwClp/C5qfNvxdHfv8wQ1WhEwtcDVKbsPwj8cTA1PmZ2RjCb9kRzgK4gyawFNqQcGxl7/QRPAR8N+oEWAJcAz6blW4icJP2LRiR8LwDxoAnsu8DfkWy2ei7okG9j8uV/HwA+ZWa7gT0km8/GbAZeMLPn3P23U8rvI7lGyvMkZz3+C3c/GCQqkUho9mYREQmVms5ERCRUSjQiIhIqJRoREQmVEo2IiIRKiUZEREKlRCMiIqFSohERkVD9f3LpX28lm/foAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Fit the data until the relative error is <= 1e-3,\n", - "# for a maximum of 100 iterations\n", - "blend.fit(100, e_rel=1e-3)\n", - "print(\"Deblending completed in {0} iterations\".format(blend.it))\n", - "display_model_residual(images, blend, peaks, norm)\n", - "display_sources(sources, observation, norm)" + "# for a maximum of 200 iterations\n", + "blend = scarlet.Blend(sources, observation)\n", + "%time blend.fit(200, e_rel = 1e-3)\n", + "print(\"scarlet ran for {0} iterations to logL = {1}\".format(len(blend.loss), -blend.loss[-1]))\n", + "plt.plot(-np.array(blend.loss))\n", + "plt.xlabel('Iteration')\n", + "plt.ylabel('log-Likelihood')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are two options for displaying the scene, using `scarlet.display.show_scene` function. This shows the model along with the observation information and the residuals defined as: `observation.images - model`. " + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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NrdnMvhCby9rH0LDKIVfrrp8Ls37r4cB0smfW9pL99U2s5/qO8uGz1vDyU3wbyD62vprsU4Os8Xo57vrdb+/8Ki17YtMI2fk86y5vvZF1k8a+YW+wDMMwDMMwDMMwyoQ9YBmGYRiGYRiGYZQJe8AyDMMwDMMwDMMoE6bBMgxjXOyr5krnrhq1vmd3/lJ5rvY4T9bYibL00ryyvWXV5y3qYKIKc8MNSrvm8Po5tb9lpi85ZGio4txSqf5pZPcHw2T3cPoexLKsx/D7WWMRCLg9Wfysa2qKsQ5lZbCJl4eHya7ws17jHV0tZPtSrNFCJEVmb76K7OcPc/Vm79rC+q3Hazj3T/MIi8tuvvTLZMcinGNL/3R88bW8vjG1Oebw7WT3bphB9gvCffP5mWmyu7vYVxLZVrKbZ1Tu/BxWmqvjqzeSfcMILz+ubivZR8ypJPvXW5Jk+3Lsl34/++UzPawX+/WrXZ9/vOdlXnfaYrLPFNZ7Xf1BzvE4e4YaA8LsWO+9hjVeBmNvsAzDMAzDMAzDMMqEPWAZhmEYhmEYhmGUCXvAMgzDMAzDMAzDKBOmwdoNpfLmjMXoHDqGcfBRKt+Tf5Qmi/E7Y3uN3t4rZZJSIiuFPlReaa50nqvRebB02Xh7rw+PLps+Nttac6XLpnN43ajyjV1pmqwpw6Xf/hLZPYn5ZNcFhsgeSrG+oiLHV5Nmh9dvCbCeIxt29RxzRxK0zAmzvmtWB2uoZlazTmWjsD6sPt1Hdq2P9786xpqrWJ7zBXUNuLqYVc2cDKhykPf1XLSZ7LkJLtu9dUvIfuMwa0/uuuQKsi+87SYYU4eP/vAasl/atIDsZof7ajjDflKvRL9n1rOf3dEZJTtd6eoRXzvE43kux3154VN8R3j+G1j39NPN7Ic1HZu4LDO5rF/OZ8meW8+58p56zNWP3fFWPlb1i6x1vDnBefdeHeSyXzzMWrRvV/D2f7/4crJf9y3TOnqxN1iGYRiGYRiGYRhlwh6wDMMwDMMwDMMwyoSFCBYpFRIYUt+kPVtUg1/ZDu5jte5LeKJh7C03qdC0UtOw72lIYEBtoffnDRnUv/yIcMhG3uE1dFieDssdbesQQihbl22MbdWxdT2UChnU9VwiGtI4iPiG8qnGHE91vjDNU6UPRpWPhPnaMn+Ip5PeFomRPTPL07S3hGt2fk5U8HWpMclTMAereHrolyp5Tvj6Id53LhIie32UfTIa59CnbA2fy4mpjp2fu3pm0zJfmMuyKNVPdpWPPfqIPi7L5lgD2ZEqNY27cVDzh/93J9lLWrhvvtHPYXMbQtzXM1EOMX1fgNMd/GqYw2VPq2C//LlnavRNdewnh3VxGF3VYt7XLSPsF3MHedr26oULyf5OZgvZ04d42ndnFocJf85xx4R/PMp+Eanienp7Bac/WNLIIYNv7Gaf/htmkn3M0Tz+GIy9wTIMwzAMwzAMwygTJR+wRCQiIk+KyCoReUFEvlT8foGIPCEi60XklyISKrUvwzDMpwxjf2B+ZRjlxXzKMPae8bzBSgE403Gc4wC8AsCbROQUALcAuN1xnMUA+gB8eP8V0zCmFOZThlF+zK8Mo7yYTxnGXlJSLOQ4jgNgRwBrsPjnADgTwAXF7+8CcC2A75S/iBNDWKk2UupZdD7caWSHwTG2s/wcP55VGouE8Ppa/zGU3TcNl0+8n9VU2KKPpqYYVYIRvb5ebuw5k9WndM/QGimN1hJp9DTs2taarJBHV+HXqqlR067z8ozyz5wSMmkf1G5Qqlt7dVfap3Q15XxKu6ZOpdSxdL3ecAPreK66yqZt3xWT0a82Bnh650iQNQ5tAZ4G+dgs6y02+Xlq9C0R1mDNwwDZuQy/SJg96Oqc1tSyXmKomqeAb06zzqkyyz5VoY49kObpo5HjY9cK6162J/l4C/O9Oz/3KY1MQF0Du6tYK7K+kTUzS3q4Hjb7+FxXV3FZL/sa+9QtnzOf2hWT0acA4Act28iuq2Ad1PIR9quPVnaT/Yd0Hdk/TvEg/b55bG/azn37e57u9en+l2jZs9PmkX1avp3sxjSP70ct5QvCc9u4rFlwX18U5L7+xGYu23/Ndu8/Hxeenr4xzNrER5Kbyf5VPdfjhxpqyP5jinWU13Z1kj3v61eR/d3P3IBDmXFpsETELyIrAXQCuB/ABgD9juPsqO1WALP2TxENY+phPmUY5cf8yjDKi/mUYewd43rAchwn5zjOKwDMBvAqAEeM9wAi8p8iskJEVoyMjJTewDAOAcrlU11qxiLDOJTZW78ynzKMXWPXKsPYO/ZoFkHHcfoB/B3AqQBqRWTHe/zZALbtZpvvOY5zouM4J8ZiNqWjYXjZV59qbGzc1SqGcUizp35lPmUYY2PXKsPYM0qKfUSkEUDGcZx+EYkCOBsFgePfAfwHgF8AuBDA7/dnQfc3pXJP1YPzl3j1KYsCid0uA4C14NjzSuE41j5wXH40wPHmWaUnySvbGbXc/Rzwja2T0fl+lHxk1LGUFAYlZDjGLpisPiUl8lyNyk2l7FKaK22HVG6rMNx+H/LrbZUm0uGhKwD2mZRwaUXlzcopHZXObaV1Ut7Vdb3k/LxyIMdrZLUmS0u4lBPllJOVyi9mFJiMfpUV7qf1I3Gyg1Wsp+jJsd6ir5r7tS/N+t1N8SayFykdlQTda40/pK4zI+wT0xJsr25mHcucHj52ax3n81k4zBEq2ieXpDk3kXh81BfkPh9Udya+BNeLP6J8LMDbL46z9sSf4PUHa2GMg8noUwCQCvCP9UsGOBfUzKP5HmvVZtZcrYyxnzg1zWT/YIC1j+8Ich61bXk3f91AJW8b3splOzrKx/7yTM7BNaeX/ex3UT7Wf6r8daFhPrfzkzymZIbd40uQ9Vlz6tmPglsWkx0F18tgkP3mX7PqWG1st8V4jDnUGc9sCjMA3CUifhTuse52HOePIrIGwC9E5AYAzwK4c6ydGIaxE/Mpwyg/5leGUV7MpwxjLxnPLILPAXjlLr5vQSEe1zCMPcB8yjDKj/mVYZQX8ynD2Hv2SINlGIZhGIZhGIZh7J59S7g0hVCpapBWz569yq6CGwebUfqNOcL5QoYdjrndAM6NUqP0Xf1KkxVUoo2KEK+vRSFZj4BkKM37GqXJUmZmVB4sGFOYm66/brfLRmmulBZIdw2tPdRdTee9Cio77NkgKkp7ojRZwRzHoccdnVtO59FSpurYeZ2sSueH82gRs8pHgmrTtNJk+ZUmK6f2rWSOozRXWpNlTG5uvc7N/VKdZj1GIK+0gWooH/bz+gv7Wbfkz7Get7eS/WCTcL6nw1LuAeYM8HVomrDWI+VjHwon+drhC7LGauEw+2ivKvucNOszchG+3djuye/jz/E1M1/B5zWnk4/d52NdS7/SWA5E+Vya05ybMmoTGh903HHbN3Z+ntXP7R2Lsl8MdvaS3RleQPYbhtivavKsg7rf30b2ujjfs70l7vavBUPcmc6p5768Jc5lTbWzX7WGOJfU61ROrr/28/rngcsab+Bz/1O3uzyY5H1H5rDG6q1DfK1ZM8LnuTrEPh6q5LIcW8HjzUyWPh7y2BsswzAMwzAMwzCMMmEPWIZhGIZhGIZhGGXCHrAMwzAMwzAMwzDKxCGrwRqd72nPtq/zBM8vEo7vrlb5fQS8XGtP1gnHvYaUHiTkZztYYnl33M1PUhHkWPac0gAkcxyrrutFYxl5phri+aQ0Vs7u1ixQUnOl/CCotEUhpZOq8OiuKvwc+x1QfT6p8guBuznyKk+Wo0+Guz2CyocyOo9W1ru9zqnF+1Jp7JAdlZMLY9ql8mDdcMP1Oz9fddUyWnbj9deTPTq3Ge/7ymW8vbHvpPKuBsOp4Prv8XFemkj/dLJrM9yRkw18bagF65oaejmvTaJKCQLr3OvUtDwva4hz2VrrWRB2fAfrLeJKp1IR5PUHpnHZ11Vz2VJxTj41PeUKNqaHhmlZR6qK7HSAj5UKK12yj3Uw7WggO1PDPjg9zut/8Cvf2fn5h1/4OC27/pobyA5GWWOT8XG9LLv0Chjl58VNa3d+Hqlgv1jbNJfs4LpZZDc73Pe7lnD+uHB6O9mLt3Nuq4d9LC5600nu9WXpeu6bC/o5P9z/ze0m+8YtR5HtF9YTDvpZN/VyFWsnvxLhvi2dnMvqhNyGnZ/fdyT78AMvcr/P5ng8GYlx/i9fNWvVnkrNJDteq3LdDbOu85Rl39z5efn1n6Jll15yJdlN87je/Co32Wcu/E8cbNgbLMMwDMMwDMMwjDJhD1iGYRiGYRiGYRhlwh6wDMMwDMMwDMMwysQho8HS+hGtuarycRytX+foUXqRiMduhBJdKHT+n06V5yqvShfx8f4SWRaMRJTII6ZyFSQ8cfydIxwfXhtJq3WVBksJaRyVpMcxEdaUQmt0xlo2SnOl1vfL2HmuQqpfj/Ipj84qpjRYOhWUL8fL00rnFFAdNa/zYKmyZVXuqoif9SQpj+YrkFF1pmQveVVYX17roJhSmiu93HtuN97AmivdRlpzpZePlQdtV9ubZqs09Y47xoaVT3QHeLxtrePxeWmctR7VIzxe+8PcHo2BAbIzWruYcjVfg7XsI5kYrzuibgdEXyv8XPakX2kLlY+9spPP5aXZnIPH1+/mzfL3cS6fOVE+r4fq5pHthLlstSnWklSlO8juQg3Zz9bVk31iws179D/XX0bLQlVcL4kMt1l1nO8dLrjl+7x+LS9/RT9rcq657GoYpTm21q33/lruLyty3Lcei7BG6/wY99XIRtYW5Wfw/k5vYN1TpWrDl9e4feI2le/t9/XsV60DfOzKfAvZ4UYua05dywbTbF/fwv3ns5WryPaHXY1X/GXWVJ27gLd9b5zzWEUqhsheEuV6WJhpJ3tFknWVd6q7gmsWu376+69dTsvmHcd58zZv4wvpgkFuoyWXfJPsoXl8jf64cFmvuZiPNxHYGyzDMAzDMAzDMIwycci8wZooYue8F0sWHYNsfAgb7/zyRBfHMKYES954PuoXLUUmPoxnfnTrRBfHMA56TjrjnZg570ikEsP4y91fm+jiGMZBzzVvPhenLToC3SPDeO33b5/o4hgHGHuDtZ9JrV6OrXffMdHFMIwpRccLT+L5X31voothGFOGTWtX4OE/3TnRxTCMKcP/rX4G5//CfOpQ5aB6g1UiRRPhk7G1CJESuil9rIR6Fq30bF+vtCXw6kO2rMFwzQz4AMSKuRj8SoQRCqgcPyo3VUMFx5ZGg0r0oWjy5E2oi3Ls8Npuzi+ic2jllOZqT/ODGZMbnSfJ26t9SvvjaN3TqLxY/IXWGmofHJUHS/W9qOcAkQCvqzWRI20bEK6uhwAI+hwEs2OXRaXJQj7IJxdWmquM0peEfe7ytLB/ZpNKx6iOpesx74ytudJ5swLKCXOexX6t79Jtto+Z63Qb6/5jmizguluvIXuw0s2xc8xAGy3rqGUt0Kwsj+39Ee5LjT5e7o+zVmRNJesY3tq3lezuBlfvu8DhXFMjDmuJImtfQqi6HqGcg0WDKWyK8LGQ4X4ZSnBnOzLH+5/mS5Ddn+C8WBVBN2dOaz3XS53Snp04wnqu1TnOH7Y2w2UNRbje6nvJxCy/ygeUcm+FBlNcL1sjrFNpyrLe58ko51R6RYbbHJtZY/PMrBlk33Qt6yCvuNY0WQBw1deuIrtj5tE7P7+zcy0tW1HFuaHOamaN3ZrhLWS/8wTuL4lt3IafGuC++1yc/fITcLVKH6/lfv+7La5P/q31JXx+ejMacoLPdhf28VwDa/APdzj/k28ba7qureUx+PRavla9L8r6xCNibt//STvf4r+2lXOy3j5rNtnfSrEf/nDlerKnz+c8fkdwyi4cx9WI3q2uH7/cpfwgxfm/Fg3y2HVNL/vh5xby/YKzhe9l71zIfSB3Kfef627lfHYHAnuDZRiGYRiGYRiGUSYOqjdYxthEYzU48XXnI1JRBcDBpheX46VVj010sQzjoCUWq8Frz3onotFKOABeXvMkVj69fKKLZRgHNbFYDc448z92XqueXr0Kz6x8aqKLZRgHLdVV1Xj729+O+srCtWrj8yuB9lUltzP2H/aANYVwnDxWL/8jhnpbEQiGcca/fQZtWwhqE/gAACAASURBVNZjsK+z9MaGYYwi7+Tx5GN/Rm/XNgSCIbz9nRdj08YN6O/tmuiiGcZBS97JY+Wjf0Rf9zYEgmGc+c7PYvOWjejp7S69sWEYo8jn83jggQdQO9yDQDCEs959IWY+vRVtnb2lNzb2C5P6AUvroLyRqDq2Ua+r5B+j9CBJh2Nqa4R1VFm1x1ql4nhF0I3RlSTH6zpKU1EneQQATJNCDGmdw7qo4bzKc6VymVQE2Y4Ed62rcNKDSKQHAQiymTSG+jrhhOoxmNq9g43KyaMSBo3VBsbBh9ZZUQOrxtbaIN32WhellwccjpkepclSxwt78rlpH9BlC+R98PsKysqAzxmVg2vUaaoBI6h0k1mtySpqLPPJfgwn+wGfD9lcGgN9XaisrMaA50cLv9ZYqbKIM3YuqtF5rrjesj6l2fLorhx1Xj5H++/YbaTHUa3uLJ1HizVZ3qWHij5rhtILibj6npiPl9WkWa8xPaV8IsrXkpd8rCs4NsP7O2GEdQtrazkvzayIq3NKBfk6Uxnn1u6qCCMSDSDnE/RVBBFJ6jxZ3Fu6p3HZB2K8/4TSi0XznmvocB9anAEg5gOQQbKzA0t8QdQMFepuZbSZtp0XYi3IUX2ssUqq3JL9SbZjSu8ZS7AWJR50z21QnYd2mjphjcy8JOcOmhvnNuxTGpsLWl4mu5WbGN/8EufhGkg07vy87ObP41DhtQ7rff6ycdPOz0vn8bhUvX0bb6u058F53Jeve5Eb9WPCx7paVpP9ft8Csmsq3f5zVxsfa3oL9497pgvOBvDD4th8ptYuq0H40TncfzbNZC1Syzoua7azcLx+xNGPTqxc4AcywMLeDry3ogb9aTen3FdiR/J5NXA0xrvWs3ZtZC7rD1syXLYGllHhbdX8SLE+646FoeNn0bLkNr6nPrKa7dMG2WdfP8zLN/hZf7piO+vs/jSPx4g7ll1M9qbOOTs/3/rdS7E/mNQPWFOCcz+ByIKlkGglop+4CZlH/gisfG6/H7aisg41DTPRuX1r6ZUN4yBjwTnvR9XsxQhEKnHsh7+EdY/ch7bnntyvx6ysqkN9w0x0dphPGVOPY97wHtTNWoRgJIbTP3AV1j5yP7Y+v//D9qoq61DbPBO928yvjKnFbZd+GCe98gjUVVbgn9deim/c+yB6W57f78etr6rF7Okz8NLmv+/3Yxm7xx6w9je/uQOJcKX6UtvlxR8I4VWvfz9WP/4HZNKp0hsYxkHGxnt/THZfKribNctDIBDC697wHjz52P+ZTxlTktX3/YzsVHL/z4EVCITwxjPei+fu+yOy5lfGFOOSW+9E7rBp9N2ZjeHdrF0eQsEQPvKW8/Hrf9yLI1Lp0hsY+w2bRXCKIeLDq85+P7ZueBbtm/b/LyWGMdURnw9nvvG9aFm3Eps3vjDRxTGMKYFPfHjj696Hl1tWom2t+ZVh7Cs+nw8ffcv5WLH2OazasGaii3PIc1C9wfJG3WqtgIqaHq3JUnGvEeE9DDv8C/h0H8dozwfHng55xA9RlSBI1HPrgLJXOzx/v0+dTIVwrGkqq3JwhXl5ddSNL1588nswMtCBrWseQsgPRJV+S+fUGslwF9D6sWxe1+SBI6C0LHlYjq59JT+Gnkc7jdbf+Ed5HaP1ObrnaK1SUHV80ofpsqi2VjIlZHLsI1qDqYuu871p3VPOE+Z+2mvfiYH+Try4+p/wyS5+lVJ57Px5XiOnC1MyDxYvD46ZB4t3LXowUehjaf2X1ovlR2m4xq/KPFRyZo3kWGtU79HndiVYpFCtOk+qkvUbyTC337wh1mz5VL62pJ9zy6Sj3B7dcK819eBjJfx8zatS+jBRb7AGsnyeS/KDZG9M8y/1maoe3l+M9/+GV34M8e4ObH7qYXRP5+vQvCGeRMY/yFEfcX9ILec7gFS10qnk+TrYnGWdzPqAq3PKZLgO+4XfOHQFWOe2KM318GwTX9+DXO0YHuIcXh0+dX3Pc46ugRr3+Dcuu5mWXXn9FzFVae3nvn38NLde7n2BdUnHzuR1h2bwm5uuALfRWyrU+kObyU4E2G9fjLBfbmnzCOdCrBfsm8b947N1vO/5SS7Li53cX248gu3/fr6R7Jer+McIaV638/M73/pZJLf2YOufn8AS+PHTWay/P0+NH9kW7ouZCs5V52zgetxWy37W3s77P7uaNVw/GXbrYls7+/Sqfh5/5s3j8zxX5dT6ko/Hj+pIB9ktcT6Xp/u4jSMdLWRn5rll/dJlt9Kya24pjybroHrAMsamqmEBpi84CYO9bXjNOz4HAHj68b+ibfPaElsahrErpjfNx6LFJ6C3px1v+/dPAwCefPQ+tG5+ucSWhmHsjsaGxVhwxAno627HOe/6DLIAHnvqPmzean5lGHvDvNlLcfzRZ6K7vQMXfOoiAMAvlt+P5zeuK7Glsb+wB6wpxFD3Rjz2i8+g35N1vC9hTWwYe0tnxyb8+AeXwsm4b24yKf2+3DCMPaGrez3+97/dX4m7g3adMox9YXPrGlx+89vQ3H/Czu/WNI4d0WDsXw7aUa1UoEpGrRFVoTF6WueY8KtQPZ11SoXSePfv+Lkas0F+9dmX5hsyPb21DsMbyvP20QyHN+RHeP3+BO/fW1QVETZqquyKIL8y7slwOISUCNUqJzOCHLahD9WT5bCAvEkI9xi/CjfzRoSpSFfIqNC2sfetQwS1k+q+p4f+vKcwObVQ+0hSheE56rzSqm/k1f6crPJnFb/oUwXIeeZ5V4ceFZ6cVV/4SsSyjgoJ1OGKyolDHid0VKPpsgTUdPQqAhB+FVqpyzI6ZBDKHn8I8U3XX0f2FcuuHve2k5loiMetwYAbntZax+FCc3M8pXegn8fbQC2317QU2/3CITwID5AZynILid/tH+EE76tPhT1FkxzL1p/nkL+2GI+/bSq9SEz12za/Orc4h+zMcjz1luN1qzIcop8N8XVqUIX4D1VyeBHyHArfX8FhV5uzXBezMm7YVkeYwwtPzfWRnQCfR0eM933YAMsJWqvYrlR3XUPg6aZD0/hc69rde5P6MPef2674EtmX3HQNpgrNzXxPtsETt/2HWu4vb4nyPVPnMxyOFjuSlx8XZr+8d4jDX2Uah5/NTnCbtHnum47q5/6yauZGsheEOSTw6UGervzFBi7bR1/gsLuTm2vIfiDJfTuUP4rsizypGaJpjrObLdwXg7XsR3/XoZKzjiE7ue1FsrtnzCX7tyM8Fp7gGRsHE9ye1x3G146NI+xHD0e4TS4QbrPfDvNs3PVh3v80Nbnc4jfNJ3vLff07P5+4hLf96mc5nP3zt3O4+3ixO1TDMAzDMAzDMIwyYQ9YhmEYhmEYhmEYZcIesAzDMAzDMAzDMMrEpNZg7Yncp9S6CfUsWaPixfWTpqO0CD3gONmYuLGl8SDH4LbmuFpbfLxtdZ7jPYfVvpMqtl2fWzLDpc1ojYYn7j6d42VhNaV0WmkwYirWfSTN57KnmqyIRwOitWchUfoQtW1ULY/6uGyZHNd7WOlNUnmbjECjZ92n1h//DNzF1ceewltruPTU6Fqa5J3OPKn6ZVqlKkipfp0UNU27El1ltU/pg6eUJiswRt9R56H9L6D0WymfOnaJadq1rklrsryNFlLL/Gredu1zPqXZyujlWpOlzi2rBWgKLrs6Lz14TBFafTylc2XI1UXVDvNY7wR4DNtew3qeXqUbOLu7n+xQNWsoskqXOi3OOqr0DPd4eZZHYDDAY/vmKtZ69ARZAzE/3k12X4KnZK6oYX1QcIj7YneY95fMuVqSaF5prMBje0i7gDrv/iBrcvIOb39KB08Z/2QDt9n0SreepyX5YI5wPQ00clkrwBqtPjV1/lF9rCd7tHkG2ekc7y+e4bLNqHcb7oUc13m6hq95U4m/DbAvNDe6bbgoy22SzLJfrGrkNljeyXX8szT3n9o63n7Y4Sm/j9rGOqqWua6fzd/O/WVVHY97n/Jx34zW8jh4cYB1T9sdnvb9mHqetr8mwX76PBrI7hpu3/l5doTHg5fauGy16lpTlWQt40p1HUw3LiH7K71ctk8qP33dUveLY3ysBxtIc999brHShw1xHq//28r94UN5Nb39DDVdfvsGsv/4EJ/r2Qtc7eNtHWrOhWqut89j77A3WIZhGIZhGIZhGGWi5AOWiMwRkb+LyBoReUFEPl38vl5E7heRdcX/daX2ZRiG+ZRh7A/MrwyjvJhPGcbeM543WFkAlziOsxTAKQD+S0SWAvgigAcdx1kC4MGibRhGacynDKP8mF8ZRnkxnzKMvaSkBstxnHYA7cXPQyLyIoBZAN4B4IziancBeAjAZfullGVAR/9rnYPOmxNUGV9yav1+x11flIaiWzhutSXHsecV4NjToNIqpFVh+xIcTx4J8PY1Ks6217O+1khVBHlbnZtIa64CSrOh8xGVwqsnq/JzOQfyfF6LAhzn3JvjOOk5QY733a5yofSp9UvhlZeUSFVUVg6kT910PedvGPMXlbHTWO0i45HSXOksSaqvOD6li1Lbe3VVWS2RUtqfpNJk5aG1ReyDWqngKB2jkvPBrwrgjeDPOWOPFQnl/6qbjhov8lqTpTdQdeE9XkBprgJq5aAaK7T+K6Q0QWmf0rIprYM+mazuUZ7D6zFT5xa84Qbum1ddxblH9pQD5VcX3v5tsmeq3FPVnW5nilawhqrVz7lcwg6Picf0sVDK52MNV0D1hYyw1iQT5faM9bnt1xPhvpBIs/Y3oXRLR2Q6yd4aZM1D9QBri3odNf6qC9mMDGss+vzu+u1KW7Q4wLqm9cI6k5jKkzUjy/nApqeGyX58Mdf7YI7PfUnC0w5+rvNUlnOPzR3msk0b4fZvr+Y2GK5kDc7p3ay5afUrLdsg94He+e65Vm/jsWWmj/vXnVd/gewPX/cV7AsH8lp1wk1fI3vRNs5ldVyX2/8Clbzs/gHWJVVUcJt8PKXGLYfrLZDjOh+SmWTPWMjj3Nu7XT3RyibuDzUZzmuW6Gf7loXcN/8+qPpXH/vdqgzrwXI97If/xtImPCNuf1u+kceHjy1iH/1VO5/39DTXy6lNfE92WpB1lp9dyMfeNsg6qcaEu/5ghtusZYg1U8duY53kq0c4D98fp3Hf35hnv7my/QWylztcMQ3KrzJnueNh81/YR8+p5P5y//Wswjp72VcxHvZIgyUi8wG8EsATAJqKzgcA2wE07WYzwzB2g/mUYZQf8yvDKC/mU4axZ4z7AUtEKgH8GsBnHMehx1rHcRzsZs4xEflPEVkhIitGRkZ2tYphHJKUw6e6urp2tYphHLLsjV+ZTxnG7rFrlWHsOeN6wBKRIArO9TPHcX5T/LpDRGYUl88A0LmrbR3H+Z7jOCc6jnNiLBbb1SqGcchRLp9qbGzc1SqGcUiyt35lPmUYu8auVYaxd5TUYImIALgTwIuO43iDZP8A4EIANxf//36/lLBM6J9XUurZUpQ2YVhVTYNwzPdquLGsSZ23Rumapvt527Ysa7K0LkLrgfwytmYjkeHY1JRHnxJWGgyd96pX6btC/rHzZGnNli6L1lkNeWLdpwc4Br9WxboPKCFMo1q/ws/nssjP8cBrk2P/XqDzMA3ng7tZc/9yYH1K56pSZfF8o/NWjf5NUuVMKpEoy1HLR+XBUlKjpEezJTmtsWLSqqmzKi/WKM2V2kHWr/RjGaWDDOiyugfU551QeXJ8Sr+l9Z26HnW9a63baJ2Va0eUT2hNlZJQjvJf1SQIlMhz5agcf7pivdo33Z10G2pN1r5yoPzquF7OB+VXSZpifrcN9Fhf6+f2mQ7WOAxXcJ20Bnj7eXnWGmVULpmREK/f6snJE1b6Wh+4LKE06xA6c6ynyCptod/HY73f4bIE4qz3yET43PpTri5qcZDrNJfljjktnSJ7RMm9sjned8TH6x8z2Et2u/Ibx9NZ5yf5er2pjs87rMoWD/N1K1XB9dyh7CMGuN6zKt/j+hr+ITrkuSGoUjn11lTyQ0ujn/VA+8qBvFa9d0Bp2w5jXdVhHle5u4O1RUtnsH1iFeucHg1x+/85NZvst9Xz9ivatpG9rpLFRj9rdMsa6eP2bFC5RJt8rDV6aBv39XwFj7kzGrj9u5W+MJjjCRtTST7XTV2uNumTh6vcoT187KOU7jLRyGNAa5KPXV/DvnGx0uz+mt0O/Z7r0Zsz7Ae3RPn+rVbdi/6lj8fV1XU8tv1mhPvLV2u5bPEI+8qfGlmzNavd1XwdMW0OLftpmO9NT2xgbdp4GU+i4dMAvA/AahFZWfzuChQc624R+TCAzQDO26sSGMahh/mUYZQf8yvDKC/mU4axl4xnFsFHsKsJxAqcVd7iGMau8fkDOOWCT8HnD0DEh451q7Dh8T9PdLH2CvMpYzLg8wdw5rv+Cz5/AD6fD1vXPYdVj94/0cXaa8yvjInG5w/ggrdfBL/fD/H5sG7jC7j3mYcnulh7jfmUMdEEAgFc+pkPIlMRhN/nw4Pr1uJ7jz860cUaF+N5g2UYE04+l8VT93wbuUwa4vPh5Hd9Gt2b1mCgfdNEF80wDkryuSz+/qvvIFv0qdef90m0tqxFT/uWiS6aYRyU5HNZ3PPnHyCTTcMnPrzrbR/F7K0taO1qneiiGcZBSTabxW3fvAvLZwfg9/lw53kX4LGNLVg3tGGii1aSQ+YBSysL0qWy/Ch5QG+eY1OnBd14z3qlJRrOc7WmVN4cnTtG21pXodHKhd4El60i6Ma9ao1UrkQeq2wJDYbeX4VP5dHJc9zr8RWc28BLbYBj+JtDHMCrtWcCACFAAkGE/T5EJIeML8fLxyhbZzaKqc6Ne5L3CkqjI2PntdL7khKaLJ9qkKDSGuR9u8/35CjdUSbH/UrLd7QPaR/J6cKoHWTVuTsZncPL/ZwWPpZf6T+SjtKqlMh7pcVKqijwq7MJh9x6DKk+rjWXQVWPo7zfySIUBPyBIPx+HwK+HOXOCqh6z/t4/7lRmizvsbT/qjrd7Q/jk4trb7yWbAnzeVWp4XrEI+2sDrIuQPerbh/nwElVcHvO6VP5GkNc34MhHvsr1fHm9LvbTxPWarQp7VCt0jn1ZLhsSpaINbWs/5mr8mZJiK+LmX7eX9cM93O1qpeNlZy3qqmbfW5IaSTmD/C59SZYb9EX4XprVHm0pNLT58H1UB3kY9cqvecMH1/jsp0FgZgvEES142BRagh1CVfD0Z/k/D7ZGPvYbKV7SXp8LKDyOTXVsrZIUiqh3yTm4i9+luy0EuUeN8wa6TVZt11efRS377Z2nqH6wUGuh6FXsobq6Ce4zjeo/vB4hvWHh1WwVvKDHW7Z3lbH/eW34H01Dmwku1Pl7OrtZq3575oXkX1WqoXsaQ3c9+NbuD+9UO32idMcHk/uruMcWv8aZh9uqdxO9tuH+FyWt/CxNixgvdjJET6XrY47c2QqyPU0XUng5wywtuzcxrVkZ3qbIMEAZjmCGwZTODLCfvjC1gVkd87m5a9xWLOVGHTH8Vwnt+/Ji9gH0bdnOVZ3cMg8YBlTABEsOe9KhGoa0bP6HxjavmmiS2QYBzci+JfzPo9YTSM2rv4nejvs7ZVh7BMiOPr9VyBS14iOZ/+B3o7NpbcxDGP3iGD2Jz6GYH09Bp58CqnWbUBV6c0mGnvAMg4eHAfrfnkDfKEo5r/546iYNgPxnvbS2xmGsWscB//45VcQCEXxqjd/GNXTmjHYs730doZh7BrHwfN33Qh/OIrD/u0iVNc3Y7DXfMow9hrHQesd34UvEkbzu9+F0PRGIDH586qNO9GwYUwW8ukEhretRd28pRNdFMOYEmTTCXRvW4cZ846Y6KIYxpQgl0pgcMtaNM87cqKLYhhTgnwyhcTGTYguWTzRRRkXh8wbLJ2DZU85q7qNbK9+IJHffR4qAOjPqTh5lT8kozRaKSgNh84npHRUYaXZ8uYb0k/QI+mxm1zn4NJ6EK19iSu92bQAx+ymPefWpPQBSVVvM8Ico+vV9PgiVRhKFx6uxB9E1ZwjMbjiPoQ9Op6mIMf/6v1ntfZlCqJ1L1rn4lee4K0SvzO2XscnvFxri4JKnxNWmit/gLevDLIfwO+JiVY+pHNF5aD1YkrnNKrjsplVOio9QOT09mMMICmlufIpJ8qP0h4xOleVRhfV5ymMX22sdYtag+X3tGEwUolUpvBw5fMH0TjncLy04m+0D7/WcKmxapSS1Xt8p9Tvd1xWrR+cLCzIcL6W7WGOx29MsyaiPeLmawmpvtBZwZqFWXGO/a8cYZ/xVfK+c0pvW6/G81iEy1rtycG4IcoaqJhKmTTi8HmlIkp7lI+T3S6saa3Jctk31qnteXjGSb2uLmmF0lwtSbCuqXYb11u4jjU3Gyt5+dB07pnzurlsww3crxem3HrqE9bIBFSusXAF13GLzy17KBLDzO4UcqkEJBBE9byl6Hnib5gW9+Qjy3PZ8ymu982V3KazW117U4y1RYu7WcjSF+I6/+LXv4zJyvtm8Hk/GOfrwakxbsMHcm5/G4yztujvPq6XI1OsTavaxhq97qjKHbWR2/z0Jv7xtqePJ1Q4NeXmk7pmhGPVTmrnfE3ZOva75HRuo7Oi3L++18v3mq+fxdv/JMr955XDDWT/sM49l4+t431dfpK6XtzPPn3eKdyf7vHzePPCTK63szbzte/ZRq73t3hO9Z/9M2hZJs/3g/5Gjka6YEvBr2orY8jmcrgpGYQEA2iatxjbH1iO146wTq7Vx2Ppiyk+l4ciXPZ/7Xb1Zw+GuQ3e+wL74HM59vkv/u8dGA+HzAOWcXDjr6jBgrd8BCI+QAQD61egf9PzE10swzhoCVdU44QzLoT4BICgbcNKbN+0ZqKLZRgHLdGKaiy94AJAfBAR9Lz0DHo2vDDRxTKMg5Zp1VW48v3/gTm+ACCCvmdexODz64Fpk39CF3vAMg4KMr2t2PDLG9S3/l2uaxhGaYZ72/DwPbeqb82nDGNvGehtx+of3sxfit1mGcbesqFtOz5087fxTTkIZrVQmAbLMAzDMAzDMAyjTByyP63MCXE8Zk7pc06q5BhwrfnwhtanldZAa6qq/BxbnFCajZE8x4pqHZRO4RNQ+YN02YOe5SMZbmKt2SiVF0trrvTaWj6SUef2fMLNbdCf5djhY2P9ZOv8QCNKQzWgcu6MyvGl7IDSDNX6WePl1caV0podrPiUeEjrgQIe3ZUjWq+l9CCqTkJK+xfxc1x8ROVkqlZ5cXRfhKcvptRPP05W6Zy01kznklKaKX3eMioP1th5tLxaNp2lTu9LH0vrwQJK66ZzcIW05lL164zHpwPqvLUeU2vTdJ47J6/HNaUXc8bWuo1K6eU9Nd0mauVRbYLJSatwfpa2AMf+Z/0c+z836Y5zL9awHmNIjWFRpRPI+rh9Zgc4H0s0xEKmXK3SNebZBxMBj4bCr7S7Ub4u1QzweOwLsMYq1M9lW1LFea/SQ3yu01VuK2TY/5+c49ZjdY6XZVUeo0cPY73OW7eygGy2n/tab47XD/p4/5EMr98ScctSq/pto8PXjWE/t+HMfl7eXsv11OJnfU9tH9d7UI1t8/tU/sYKt48sDmyjZS9GOY+RqLx1MZXTazJxbw/r5h4Jcf/p28b3YP8+013/tiT31ZeGeV9nSxPZL2xmrdG507kNUtO4fzwVe4rsw0Z4eWvMHROSQS73a09mn659mbVFG8KsqWrcyD78nroOslet5NxTp0xXGq9BrqfPVbvjzynHsLaxrZXHj58fw/VyXzeX5axmHuua8uxXET8fe2aOrz8/ybv1NreR63xBN9+DP53kvnuputbcNYPHmz87c8h+W5i3PyLE2rTzkly2p6OuBuwjC7kevqVyGFcHuR6O1Dk8d4O9wTIMwzAMwzAMwygT9oBlGIZhGIZhGIZRJuwByzAMwzAMwzAMo0wcshqsZpUzqSHIscpVgayyOX6zK+3G2f5tkOf3b/Dz/P46V1RWabS05krnstEajFI6iaQnpruU5qqU9qiULkJrQEbyu+9SpWRNSaUP0XZ3hnMyBJXQRue52pTmWWdq/CoO35O3SefMOlhob2+n/EG6vUZrrrSGRjzLVM4j1Tl0niutcasIss9UhjnmOqqWB5VuIpNx2zub4fbQbZ1RmikdEj1KGzRKJzW25grKT7x5sVSXH6XJGqVlUw6eUTqbkKp3nYNLpaJCWty6CeaUxs7hOs4oTYY+0bTSf2SUz+nxIqU0RKPq1bO5SoOGnM7npbbVOteJom37diy71c0fNBJV7SVcx41Zjt9v87saifAQ19dJac5L01bJsf1+1TcSLKFARYL3V6muUxXKT/o9Q+a8Dr7G5VVeuudrWGtWk+RrZJzlF6hLcvsNRLksDSm2k8pJ53S62w+HWEMTBNfpyd2sc9tYyTqWJj9rcsIZ1nDVqvyMzWk+t80jc3d+dmayZqbHYS1aUHn89gBrbmIDvO9oVF2nVF7M4BC3ebaG6w1xt48MqByatWB7WoKP3RmcPL+hb+vswOXfun2nvVa4jRtUjrhXZLgeft/mnpsM83n9Zja3yQ9T3DeHVa6xJxpY/1PdxVq2w6u4LJn4FrKfbnD710VtXJY5YbY/H6gn+3UDnCsqHWOfPtnHmr3WuTxGn6IG8bVZ1my9usUdRwcbeV9zlNbs6yn2+XtU//q3StbNr+vm8eqcRdyXAz7WRv5gg5tke3vjs7Ts6X7WUPmiXA/La1l7dtow++WmiLqfUPXs28rjXWIhX19qhhft/Lyydz0tOzbK48ex6lHp+XZuw90xebzPMAzDMAzDMAzjIMcesAzDMAzDMAzDMMqEPWAZhmEYhmEYhmGUiUNWg9WV4ZjcpTGO8W4McSyq1gPVeGLfD49w/Pf6JMe9zg5yvO/aFAfWh5VYwdH5YZQ0Iat1VLyY7D3NczUKrWVRi7XGZ6z9davcJCuGOWb2pEqOa9XnGVN5u0xoNgAAIABJREFUltYnOQ6/K8v7Dyk9QkLpw3T+soOVsVpYp5rS2iS/t8HUMp1DS+dA0rqogDpYNKT0IWG2lQSL9HxOltfN63xBqmxppWPyK02dUjWM9hmlc8povZBHR5XViel0rihHa66Uli2vyq41WUrjkVW55cQzXmgN1Yiqpwqlg9PuqfNi6f0lszr3HG+v8955c13p89Y6OV2PV121jOxlV1+NiSCYczDDk4uoMsW6lsA0vlYMOaxj6Au7uoSI0v6srWINw/Ygj2Hz05xXJqY67kA1j3H5ai5LUCWQm+/RUaVVHrr1fr4OzRelDRlifUVIaeq6/KxT0eNpXOvzqlgTMeK4dREZ4c7RrbRpIShdk/KhAfA1tybH2pH1TdyPm7v53Dui7rmerPJQdSsRZEpYn5FTOrhMhn0wnOKK64uosWqE+8BQSOVvTLu50FSaM1QoPWAixfV23aWfJ/v6y67BRBHLCl7V7Y4Xr+/i5TMXbCb7xcHpZL8cduslUsd+dUct+8Xdvdx3a7ZzYqM3zGKfvSPEOvp4ehPZp4Z4f5/z5FSKxVhL9uNe1nN9aCnfH8ZX8Lj35tmcs+sZpT8eSLHfrB5hnVP9Yby/eLerLarbwuPDigqup5PVvg+P8HmujLOO/UQf672+HeZzP72DdVMrgm7ZbvVz37wjzvWyLjKT7FY/61XDOR5PXhliu61yK9mb4gvIHgpwPR3V0O0aca7zsMqp1d3KY92Xr72M7Js/t2u/mhp3mIZhGIZhGIZhGJOAQ/YN1r4QmHUMpp/yPkB8iL/0D+CRxya6SIZxUBObdTSaTroA8PnQt/af2Lz8gYkukmEc9ETnHI1pr74AIj70PfcIep+8d6KLZBgHNUuXLMIJbz8HIoLtz61E38N2/2fsGnuDtaeIoOLVF6Ln3tvQec/liC4+BZX1TaW3Mwxj14ig+eT3YuN9X8e6Xy9DzcJXIVrXPNGlMoyDGxE0nPY+bP/z7dh695WoPvxVCNXPKL2dYRi7RERw/tvejBfu+QWevvO7aDzyKEQaGia6WMYkZcq+warzc2xpn8o9URvg5VElEIgogUjUKcaaNh4GDLajIrEd8AH5jY/j+KWLMbhyrbtvlW+pJ8vH1lT4VBy1o7RCSidRKk8WSRu0BmfMkpSmlGZrrMURpTXLqJj9Bwb5pvo1lZ1kt6c5H0mpc9H739dzn6x4z0v/YqJlZlprNJaAS2v/AspHfEpzFVK54sJBXj+stAU78mCFpy1CLt6BQHo7AkEgvmU5Gg8/Bp3Pte5cV7kAcmk+ts5jFlA6prTWIqp60It17qmMtzJK+FReVVxACZfSPpXjy+Gy5lQr+pS/5z2FTau4cl+Gx46c6gBhpRdJqTxZ6ZzenvefVfU8StPlOfdRdag0Vzo/2GQhJw6GA652bVDpEtZXLCQ7wpIbnNPjakmeqOExzSd8bTg8NUT23AxrGkIxPvZclWcmofpGutptn1j9QmSGO5FLdUECQE/LSoSPfBX6ni28Ha52uCyplNItqutQooIbtC/J4/FzNaypPTXFuWVeznK9NXvOdbCKNTXpPOuS6vOsD8uo8/5nA+s3Zg9z2RuHBshuD1SQXZtx26EXSv+l9J2blAbrmCG+l+gKsM4lrXwmEmc/aE7yubWkuOyzO1wf/udCLndvgPtHk09n5Zs8xHMpPNfXstOWBtbN/XET959KlevwjxVuH/ngCNdDPMnj2nnq2EeHWUODDv6h4fJuznP1XaUf/p/BQj2fMn8mnunsxxMrCvqd1CPPIzHrFDz4wpqd64ZD3J4jbVxWv9Kiv6jEjf/czP3tV9Vc9m/N6Sb7y2vnkv2OWre/PdPI91D57CKyX1fF2sb1Kd73VzKsVTwuzf3txD7e/oEBLvthAff4T23m8z5xOvvBgwHWi/3XMC9fp3KT+dR98xF5ftA9Pb+N7Ht6eax9Q+usnZ8/MY+1yq0j7NNH8ZCAT2N82BusPSVWD4y4nTA/0gt/rG6MDQzDGAt/tA7ZuHtRysb7EIzVjrGFYRilCEZqkRtx/So90o9grGaMLQzDGItZtVXY2ufeqA/2DaKmpmKMLYxDGXvAMgzDMAzDMAzDKBNTNkRQTyF9TFRNf6tepU9TU0hLmqd5dbLFV4YDbcCSM1GVL/6KUREDUl2oirivr/0q3GhmjsMf5kV43/f2zyE7oOKX9HTjORXXFdAhRN5yjzmJ9zjYh5BAAIh66jlbImQvpUIptqmQwJSaErpbTcuu21yHCE5VvNOn6zrVU2Pr7uDQorFbU89OHvDrkEFe7g+oEMKw6teBgu3L9SBUWYdgRWH9UE0dsuleRKOuT2ZVwYMqDC8MfsUfT6ihTc9Pr8IbfSpGcNQ07Z7VdZXqXY8KCfSradhzvIesqji/jsNVpnd6c13uhKjww6wK8eNdIa+naVe2DjHUAUg6TYO3rHoadh0SOGq6+0lCzg8MesJs6hNca3P6OYzPH+A6f7bWDT+q7VPpPeo4DKajgX/9rktzndQJXyvamnh/M9XUxU15NyVIIN4O//zT4NQU+ps0VWMEfRiZXjifUDfvSwLcL3vqed8jCQ4P0uGpi/w8hXNjP68/Usnn3l/v+qwzxCGBtWkOPUoE+Vgbq3j9IxM85bMvwXGbW2p4/aN7ef9D9W4bah/qifJU1dUDHD7U6efrkKNSJWyIchufNMhhW0NqCvDNPg4rra9xp58ezHJo26tGeK7z5mFOCTOZyIX96D/MfYO6VKUUOH4L9/XmmRwyeEulOwX4vA287uwlHOL325k8/lcOcxssjbeS/ekIj2xHPctTxF+cK4S7zo8FcdrxR+D6ikL/OWx6FH9OdePrte795SW93B8Q4r72ZI26j0mw3w2GueznL+Tx5i2DR/D6zexXL1S751bVdRgtq+liH90wk4/9YJT95L0VKuVAK5/bnwY47O4DQxx2nDjaDdvrS7EPr4nxsY7fwm3SVs8hfxGO8sWv8uyHtwiv0BrmuL6n8vPJfrji5Z2fuwd42VeW8Jv+07q3Y284NO5Ay0nnWqBmJlA5HfAFgIWnA61PT3SpDOOgJdPfAn+sGYGKBkD8iM0+GSPbnp3oYhnGQU22bwOClU07/apx9gnoaVs90cUyjIOWLeu2oHFGIxrr6+D3+3Hq8cfhDy9tnOhiGZOUKfsGa7/h5IFH7gDOuRYQH/Dyg0B/a8nNDMPYDU4eg6vvwvTTvgCID8ObH0Z6oK30doZh7B4nj+6VP0HzaV+AiA+tm5YjPtQ+0aUyjIOWfD6PX33/Hnzx4x+Cz+fDQ8tXYE1nb+kNjUMSe8DaG7Y8BbQ959rB6O7XNQyjJKnOVRhqe97zjb1cN4x9JdHxHFrvL1yrWp3KEmsbhlGKNc+swcM33uZ+UTVr9ysbhzRT9gFLT8ueVPqdSh9rNk7OcQx3TGk8RPQNn3faZo5jrQ1yzP6Qmqb9pTjHnurZirPqWD4lwiilXCirskHvTJVVyyj8SqHCFq+sp4DW09tvSnPse1hN867bMOlM2e48Jl4djF81kJ7e3D+GzGqUXk+tq/U22ZxvTDuv9EGj7DE6l542fXTB2c6UmD58lK36nq4nGXXu3n3JmOumfWNrrvTyoBo/HNH1xHg1Whn1IKrbPw2uF1927DYY1caj2qhUG3rWVFoyPX39squW7XbbiSSXD6An5eo9TvRMuw4ALzfzeVSM8LgjcPUhtZWsv302yvqa43tYj5PJ8VTE8RreftoAt3eymq81IR9PIT7sucTXKK1HX4DLnRzhHwqrcqwd6VXZRqb7uOz+Ida5pJT2ZF20keyZXRnPuly2KPha8Fyl0iXFuV4SfNoYruF62VbP5zbg52vw4Wn3XDaGeAbTqPKZ6Aj71HCQbb+PtSFndfLU+p1+rsghcJvXjvB1rTPgapFOi3M42mCU+8O/3/pVTFaSGT9eanVnXL5caWayR7HmahpLi9DV76bCOeJIvhf4tNLwfaiFtWmrO1X+tzp+6/QR5ziy76lmbVEtZpP92w63jc/Nsh89NMz9/hUh3vas+Zy+4BGo6cMP4/0tDS0he+3IWrLvTPEs1me2u+c6EGJNXn2E+9aP8pzDtaFfpUtQY8R9uQ1kvzCH6/0WNb6dm3S1aT/vZp+s7WOnPXGEtx3y8/1fRYjv0Z+t4tQMf+plP23PcdkW9fG5b4wt2Pn55lruLy1xftNfefnt2BvsZ2LDMAzDMAzDMIwyUfIBS0R+ICKdIvK857t6EblfRNYV/1siKMPYA8yvDKO8mE8ZRnkxnzKMvWc8b7B+BOBN6rsvAnjQcZwlAB4s2oZhjJ8fwfzKMMrJj2A+ZRjl5EcwnzKMvaKkaMVxnIdFZL76+h0Azih+vgvAQwAuK2O59hidA0nrc1T4/6icTFtUjo/DK1WOH5Ubw/G5dgoq50aCcwWsS7C4WOeW0eh8RFo/ckA1WHrfOp1QidxJXq1LUj3PR4VjctPO2Noz3WaarE5INIkpl1/NmDEDVy1ztSw3Xn89Lde5h3QVsZ6I182pxtaauaxqz7RKHhVP8vASUEm5MkrbkPMIoVJp3ldC7WskxfHbmSyvn9H5nPR5lxBpab2QV2dVyh8DauelNFdac6l1jPp4pHsqoZHU+b5EadW0gEyPTXnV5joHnz68d3mpcazclMun5s6Yju9c8cmd9k+uvJKWD41MIzuVUfmiat06fCbMuoKFec7HmHe4HwerWHiyLczL0zm+1kTAOXL6M6w7iORcrUie5RUYVH0jqXzGyfN1rBOskake5mssgqyL2d7EZT0hvpXsqCeP4ZDS3+ZVjsPZPs5Ds6WKy/LmLp7J9zdNC8g+bQPrXLY3cL0lPbqok3q6aVlLNbd3fyPX23Fbt5HdFeEcOv9oZi3J7DjncHopxNq1V/RxWZ9octt0cQfXcWdw/05cUs77vyWzmnDvzZ/ZaW/+9n/T8rWbWScXGuT+tW2BW49fU7q1s+ex7qlphPU5mMV+99NO7m/BHt5+1XRug5V9rOE6Y7ar2QmPcF8KLGZHS/VzX+5TGr+X49xfos/x/l6ezrmrnq3mPvCtJaz5q9noHm9lkv0ml+Tx4ZR69smHhPvqLXHu2/dUsi/csIXb7FFVVqfarbeb2jfRsnsb+FiZY3mse9vfHiO7pYZ9+twYzzR8dg33l98muV4uq+F6vz7gjrXvU0PZMzluk71lbzVYTY7j7FCBbQfQNNbKhmGMC/Mrwygv5lOGUV7MpwxjHOzzJBeO4zgY48dJEflPEVkhIitGRkZ2t5phGB7G8iuvT3V1de1qFcMwFOZThlFe9uT+z/zKONTY2wesDhGZAQDF/527W9FxnO85jnOi4zgnxmKx3a1mGMY4/crrU42NjbtaxTCMAuZThlFe9ur+z/zKONTY28RBfwBwIYCbi/9/X7YS7SUZpR3QebBmBfntWZWK+V6X4HjQ9jTHzWpNh1cvtDLeQMtmq9wDbRkdJ80/+FT4tBZJ6ST2kHJqkUZnwRlbV6F1Ul5tXHBUjize+57m+xrJT7m8V/vsV7oOcypRmX+U+Mglq3RHAZ3fSbVtSPWzhOq3gQRrMDJKo6U1Wd48WYkMt20qx/uOq+XxPB9Ln4ujRFi6XrS+TOdw8urNdL8cKxcUMLrOM6M0V8qnVFlG6+ZclIwGStYGX37sfUkJjdWo3GiK0ZosTy4ztcyrFTyA7LNPdcS4kqtSnI+lQrVB3YirwegHj/01cZV7KsX91p9jHUJVivUcIT9fK4JKV6VlqkOOu/9Oh69x/gxrOZKq8+jcjzNH+GAN4FxCq3zzyW4c4OtgbpDrYpvPvcbGM3zex8b5nv3hetZcLRhizcw/p7Hm5kiwFqRGXSsGurks2xs9OqiQ0gIrPXdzN9stzXyv0NTD9VoR5w7yZCVH1L16hHPurA/MIXv6oKsl2ZZkTd8Xb5oQ6XtZ7v9+k9hC9iyH9TzVAR7zD8u592zrUtx+RwZYXzPQydt2ZqeT/Y4Qa2xmNPC16A0D3L/yTazJ6oy7bbK+nidRfJVf+XQd+8306Vy287Zw33zNPNYW3Zk7huzT1Zix/jG+l93iyV/Xibm0bFmE74M/up3r/C1+LttV1exXFzWzRvTEl9hXnl3DY8jTx7u+0e3nNqoMstbslS1cT48eyW38+kE+7yeGeSy8TeVBvW02t+Ev1/F9+lGV7rnfu5V98vP/7xKUg/FM0/5zAI8DOFxEWkXkwyg41tkisg7A64u2YRjjxPzKMMqL+ZRhlBfzKcPYe8Yzi+C7d7PorDKXxTAOGcyvDKO8mE8ZRnkxnzKMvWefJ7kwDMMwDMMwDMMwCkw5Ecvu2JbhCTbqlV4kIhw3vSrO8/1PC3B8aI/K0+GlNV0qNwXHqabAZdE6Gq2DKJVPxisvyZdauQSjt98zfZfWxhH7OzHOIYjWHgVVA47K7+RpBK3nSSsNhk/tK6GGD5VSCbmc0lwlOc7dr7qSV4OlNY8ZpRVKqmNr3WFG/XaUVbmotM5Jk1Pbe31yLN0RMLpbX77s6jGPpXOX6YpUUjXkPQ6uJXWjNVmqrKPyoo0h8AKUanI0o9Nwud9MkOaq7HT4Wa9xYprzJG0N87Vli7i5X2o7uIZWzWWt0cI+Hvtbg6znONVZT/ZGlYMrEmGdU1WOdQnJvHu8bj/nW2rKsq7E0Xq9DJctFeJrZFeer3NNcdZkVfi592yuYw3FKwbcHD2/Cx1FyzIxzmFTleJ9feraL2EsbvjKDWRHIipP0gDvTzy5p7IBHluqk6wV6WApG3JDrC3xK83WnGFuo9gA68M767ldlmQ491Bb2p0c4rNfm9B0o2Xl+RT71dW1PPj8SrgP/GW72/frWrmOv34k53N6UwX3p7u72a+uaOY6vm8tt3m0ge/vDhfuP1URtxNEQrzuqdW87qC67qU28fJEhP1qRT/3j0XxNWSfMo/1Qr+sY73i1QH32vWal7iOkwv5WLOyfN4fWHYFxuIbP7mD7JfDrMl6e/Ussh9Y77aL1LDjNA/z+LM8zH7Wt4X96gl1D/4vmf/f3v3HRnnfdwB/f+zDP/FPbAgBgkmhZO7aZC1riNquXbZJNGqbTuq6ttFWVZX2I8kKTVOKwZiE8GNJsyZUjbRWapX90a3ZlGmLok5dl0VTVU0JpIQsQCBkIeGHwcbYYGx8tu+++8M3nnt/z77z3T2+e6jfLwnlvn7ufJ+zn4+dx/e8nw/nyTrGOLv48sJBWn/K3qL1f/cF+bL7Qspc+fQOloiIiIiISEh0gCUiIiIiIhISHWCJiIiIiIiEZN5ksHwXs2SopuNnrtLnO2XNGc1CMmPujXnb+f4VOWJQxeau5Pq1vZtzL7t2cb7Hn8mUnpnhs7Mz52DFjTMZGZkNbz+OJ7zMlRfwyZY19OdSTXp/C/J7Jm7ZM1Z+Vinh99g0aaLs22e6Z2bOLZdtObJKu3Z738NE8Iz+jx7/65aZc8y1Pfv9c90912u5Hn37W5x7ue+Jx2m90puLtXp84NrtWD3nLRq9+YoxL4i4ZoTvP+bNd6uuucTFTfB3pD/BebCaimBGzlXHHX65ivtz2bs8T+fwMn7uZuPtgwnOYMUWcC5mmKMkaPaGdu2/MXj84gmeW9U5wPmKuPe5c+n+ZnfW7bsf4YxWPG3m0vrRd2jbwYpVtE4m+XWcbOCcy8oRzpK8Vc8Zq6UT/bS+Usf5oLPeLLQd276OX0c/7Oa8z91/8yitf2cJf52/kgj23zEvd3TyJs4lud5ztP7TJO/7Iyd4/bEVnAcaTfD+dj7Oc7TWNAdZx6MDp2nbJR4thY8e4h7/uw5+rg2reNbUL9/g739jBd//hTGem7aug/evh+NB5u92b/5rTw3Pgjrl9V0uG//k3qzbH9/LPxvPLwh6/PHqt2nbzv7VtK6o5583+xv5dS2q4O3/7s3sel/8NVoPLvkNWh+p4kHXj276S8w1vYMlIiIiIiISEh1giYiIiIiIhEQHWCIiIiIiIiGZtxmsfPmpimJzV+kycg3eBzLSId52//GWZZvMLxXOzxJ522nFe1rCz0zlmDXl56L83JRfS8aOnVZc0gsaJr2816QfRMwzY+XPlvNnWfmzrui+/nN5tXR3h5tD6t428+fb483Q8iNYliVzB0w3wyt7fuzXMWOVr7VePqgVPK/ncFMwr2fFKM+lah3wvt5xDipZA2ewJhN8/3gF5zMqEvwrfNjx54vXBT3YcpkzVOPgTEN/A/90WOTV2pzk15Js4VpPWiOtF8T464R+zrH03RjkYOrinKc4W8v5m2/07EWYtm2fOaP1hb99gtZ3nBug9cE6zrHc6MVY2hJc+2gt99TZsZto/d0t92etdb74Qx6phNsbeN/eVxnsy79fyzOSbnnTmzU1zLm22E2cixu46GWuqnj/q4vx9/jyFd73f1Ef9NL7e3nO2cV3uO6T7dyzv3mGn6tjkOfqLXgf58mePuHN6PLyZHWv8uypA21BhrDtCueYnq3lbNq9O8Ltqwe7Hpxx2+oneHbdtkrOIn5vgudkfcT7Ht5aw3OtTtfxz59DA520fm5H+bOLegdLREREREQkJDrAEhERERERCYkOsEREREREREKiDNYslTLLlC1TNd32XI+X+StXpsal7y3eXZNeztB54SM/UuXnuzJmMnnLSm9gW3qWybxP5uec/CfL2O7XlmM0VcLPi2VkkwKTFXzfWNJ/5aWzNc9M1J5HdnqP7wmznHnhUhXnnCq8EU0rx4K5WI1xzj293cg5g1EeoYQrk4to3QHO/zQOcX4j3sp5n4Zh/pW+eDjIKQxXcY7k1DhnN6yes2Rrxznz8F/VK2h9g/FMrkVJvn/yEs/kaq7hzEX1mSCzdbrd+1mQyG9OZZh+8hf5ZTee3ME9de8u9VQhzlRzXuhonDOCn20OclOL+zj39GwD9+SFFu6TN87x/nVnDffCe85wX469l+dsra/jXlmVCHrll60cHnvlAmeBDtZynzywmvti00V+7o97Wcm1NRzyWzDA+bAPLOU5XHWngnzar5bz65yIcb6rlE58fUfW7V/x1j9+bB+tP7t5E6/DKGqO6R0sERERERGRkOgAS0REREREJCQ6wBIREREREQmJMljXAWWqpFD+3KLd3tyk9FyUy8hMcbYoY7vHz3slvcyWPz/Kn2VVkbbdn4PlB7787RmzqSy/7ZVel01mzIsKxBx/Xbp6rp/MhTJXxdves4XW397FPVafFnuojHu/Yif5b5pLxjjA1WY8Oyo5znmN/mrOVFxK8uypO+KcBzlStfDa7bWJXtrW582Rqarg7MegN2OrZiHPDooPcU5qaYKzJhcquaeuVnJOZqgxeO2VMX5dm3uun3lrmx5WT4Vh29a/ovX3HuPMTtvFYH9depkzVgkeDYWPNfG++9uLuY8uD3De62CSs44n3uFP+I9NnE/cei7Yd3vW8ufe2sj7cns11/JSL/fJyvfwnKzLZzmT9ela7rMDqKV1vJ776nhjkMmaqOHHbtz0LVwv7tm8sdwlFE3vYImIiIiIiIREB1giIiIiIiIh0SmCIvNItlMGLeMy7Pz3F/NOGUw6/zQ675RA/7rs/tI/ZTDrGYjeJeO9rTkvw27+6Yj8GSa8S69XeqcBJtMe39WtU4Ik8M1uPu22a8/j126/28T72eIxPgVwOManF40v4P30Bu8y7b3jfBn30SY+len4Aj51KjkenK70YsXNtG3NIF/quredT1Wq9Hqm9gJfNrtlkk8pnEjy6UijC/nzLRrl06xaq4PHf+2BXRBJd//mh2m96bGnrt3+t0o+FfZDE6O0PhVvpnW8hffFW5rO0vrI0EJaxz7I9/9+4iKtq08FfXX3IX7sHzmu7Y1buJaJce67msP8u6azmvvq7CD33ehi7rN4H49qWLcwOIXwnk0PQcpH72CJiIiIiIiERAdYIiIiIiIiIdEBloiIiIiISEiUwRKZx9IzWZmXcM+VyfKSUF4mK+d4gWwRLe/BfsbKj1wlMy6r7ufBvMuwe5d5jyWTWbdv775+Lhst5bV364PXbv/1Hs6R1Hj7YdMVziW9Vs+Xj66N8yWZb4qdp/X+kWW0ruvly7aPLwmyKSuvclbjfANnO2q9S8Sfb+JsyepLnC05WcXZEtfKr2X9W3w56meWd9D62Qf+HCKz9eTm+67d3rdvL23rrLqB1m1DfOny3aOD/MmG+HfZp2/kvnr0WButWwba+eHvDe7/+SrORf5P/AKtl1T08XYv6/i5JPfNM+9ynqxmFde++xznNj/Okx5waudDkGjQO1giIiIiIiIh0QGWiIiIiIhISHSAJSIiIiIiEhJlsEQEQOaMLN+eR3byB/wIVp7Pl5mjmnlj7syVXwt/xM9wxZJcbVePZltJ+LZs3ZF1+9d2fp/Wy/o453R8BWewrgw10Lo2yQGMyUWco4rFg5xVLMbzdwaNcyudI5z9iNfw5z5fzdmPhgmewXXlEtf2+e9s5jVEwrFxY1fW7X/c/fe0vrWPZ0v9ywpeD1snrdvsDK1rb7tK6/qBICtpybdp27FRzmt9ZpJn0w0af65XjHv8Q8s4P3boPD/+5r382k9BokrvYImIiIiIiISkqAMsM9tgZsfM7ISZbQmrKJH5TH0lEi71lEi41FMi2RV8gGVmlQCeAvBJAJ0Avmjmvc8qInlRX4mESz0lEi71lEhuxWSwPgzghHPufwHAzH4C4G4AR8IoTGSeimxfbd2eX05pt5/ZmiYpxStLuydv8zNXPj//lStPJvNKZHvquz35zYLa89BuWjeM8N9IzzXx/SeHg3xHyxXOUN22sJ/WA1dbad0+xvN3Nu5STlGuiWxPAcAzu76UdXu3t35kO8/V+t0Knif3/IU3aT1ytuXa7fcnOmjbng9ydvEXxzmbuLZygNb3PvZQ1lrl+lXMKYLLwPm606mPiUjh1Fci4VJPiYRLPSWSw5xf5MLM/szMDpjZgZGRkdwPEJGs0nvjhNNkAAAFSUlEQVSqv78/9wNEJCv1lEj41FcynxVzgHUGwIq09fLUx4hz7gfOuXXOuXX19fX+ZhFhOfsqvafa2/mSsCKSQT0lEq68//9PfSXzjTmX7/Sa1APNYgCOA/g9TDXWfgBfcs4dzvKYfgDvAGgDcKGgJ557qi1/Ua0LKF1tK51zRf8Gybev1FNFU22FKUVt6qmZqbbCzPfaytJTqceorwoX1boA1QbM0FcFX+TCOTdpZvcD+BmASgA/ytZcqce0A4CZHXDOrSv0ueeSastfVOsCol3bdPLtK/VUcVRbYaJcm089VVqqrTBRrs2n//8rrajWBai2bIq5iiCccz8F8NOQahERqK9EwqaeEgmXekokuzm/yIWIiIiIiMh8Ua4DrB+U6XlnQ7XlL6p1AdGuLUxRfp2qrTCqrbyi/BpVW2FUW/lF+XVGtbao1gWothkVfJELERERERERYTpFUEREREREJCQlPcAysw1mdszMTpjZllI+9zS1/MjM+szs9bSPtZrZz83szdR/W8pU2woze9HMjpjZYTPbGJX6zKzGzF42s0Op2h5OfXyVmb2U+t4+Y2ZVpa4trcZKMztoZs9Hrba5oL6aVV3qqeJqVE+Vr5ZI9lSqDvVV4fWpp8pXi3qqsNrUU3ko2QGWmVUCeArAJwF0AviimXWW6vmn8TSADd7HtgB4wTm3BsALqXU5TAL4hnOuE8B6APelvlZRqC8O4E7n3K0AbgOwwczWA3gUwBPOudUABgF8tQy1/b+NAI6mraNUW6jUV7OmniqOeqp8nkY0ewpQXxVDPVU+T0M9VQj1VD6ccyX5B+AOAD9LW3cB6CrV889QUweA19PWxwAsTd1eCuBYOetLq+tfAfxB1OoDUAfgVwBux9Qwt9h03+sS17QcUz987gTwPACLSm1z9HrVV4XVqJ6afU3qKfXUbOtUX82uHvWUemq2daqnZldP5HqqlKcILgNwKm19OvWxKFninOtN3T4HYEk5iwEAM+sA8FsAXkJE6ku9DfsqgD4APwfwFoAh59xk6i7l/N4+CWAzgGRqvQjRqW0uqK/ypJ7Km3oqeq8vEvttOvVVXtRT0Xt9kdhn06mn8hK5ntJFLmbgpg55y3qJRTNbCOBZAJucc5fTt5WzPudcwjl3G6b+YvBhALeUow6fmX0KQJ9z7pVy1yLTK3dfqafyo56KvnL3FKC+yod6KvrUUzNTT81erITPdQbAirT18tTHouS8mS11zvWa2VJMHaGXhZktwFRz/dg5989Rqw8AnHNDZvYipt56bTazWOqvBeX63n4EwGfM7C4ANQAaAeyLSG1zRX01S+qpgqinovn6IrPfqq/ypp6K5uuLzD6rnspbJHuqlO9g7QewJnVVjyoAXwDwXAmffzaeA/Dl1O0vY+rc15IzMwPwQwBHnXPfSdtU9vrMrN3MmlO3azF1bvBRAC8C+Fw5a3POdTnnljvnOjC1f/2nc+6eKNQ2h9RXs6CeKox6Sj2Vjfoqf+op9VQ26qn8RbanShn4AnAXgOOYOmdzWymfe5pa/gFAL4AJTJ2b+VVMnbP5AoA3AfwHgNYy1fZRTL39+xqAV1P/7opCfQA+AOBgqrbXAfSkPn4zgJcBnADwTwCqy/z9/QSA56NY2xy8VvVV7rrUU8XXqZ4qTy2R7KlUbeqr4mpUT5WnFvVUYbWpp/L4Z6kiREREREREpEi6yIWIiIiIiEhIdIAlIiIiIiISEh1giYiIiIiIhEQHWCIiIiIiIiHRAZaIiIiIiEhIdIAlIiIiIiISEh1giYiIiIiIhEQHWCIiIiIiIiH5Pz6jVKmb+hZLAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "scarlet.display.show_scene(sources, norm=norm,linear=True, \n", + " observation=observation, show_observed=True, \n", + " label_sources=True, \n", + " show_rendered=True, \n", + " show_residual=True\n", + " )\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can also do it by hand. " + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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IxiYhxJF42oUgQgghhBBCCCGOjm7OhBBCCCGEEKIOOKHXGo+VeLmCtRPVyZUTTfYHjlvzLIxoNj4cvGmYk017E3ZiZ77EyZUXzLD04KEuNiOdPmondnaARQx3B/zJkugoyypK3bYeN5Lljy63Rjghd8zwX0wHtmxi0xzXf5/jREjfzAmPPbvtrMWbV3MC6i7jw9qvGeKP9M0WbXHJaIrrPxjjbnogyttZFbelGC0FbrtdnuUdB1obKbam0UoLBV48zv3zvgZOqh1o4iThRxL8wUQAeHGeP6ztu/mji6vnuO2mQr5I32jIXPoauH+tHuW+WC7Zoo9CuXpblTAzwcnGCX0Ul5OfzXKhX/k1pAc1yiJOXBLChD61M7ZVMQ5/rZIQwJY4RIztlAJe3pKEhJUNapR/WPsDhLSzte81ttH84jXKQ45FtFFr2WNYZ42LL4L8wyhnfHw8TORyoh9Er1cayx4vnK6WU+083ZZirBniOdF4hec0/2slixm+NGzLJiZGWCjy+ymWavzDBr5+/8q4PSc5t2Enxe71PEfLbWN5xtxpLJAAgGSBP/67McXtcX+ERV8HYV9Df7XCc9TvHeQ5RWINb2fLEIsyAODjMe6/P9rK1+C7X8TX/+0D3O4A8HCCZSo/z/JIfnuJ5w+XNNrSlrNmef7wnX6eP2xr5+1s6WH5BgD8kWF7+uwMz/FuNOQu35zmeRsAfGic15k8h9vpsjLL6XaHfEanx7g7uj3GffGcXm670ZgtGZnOVLdT2b58AdAvZ0IIIYQQQghRF+jmTAghhBBCCCHqAN2cCSGEEEIIIUQdoJszIYQQQgghhKgDdHMmhBBCCCGEEHXAktoag6CMhnS12WRvxbbZPJhmK8tF2QGKPRTpoJgv2SanuGHtG29gc01LkRUqzQHb+QDg8QIb+pJpNuzMrWQLIgq2xag3yUaY06fYtjiQZF1j9yTbdQBgvMh2w/UlrmfDDO/7jtZmc52/Msx2oGKCLUj3N/Exapq1NTVFx4bAmTg/QzjLMPmMx3gfAWAm4PZsdGx2fGX/KMXuXGFbd25K8T5dOM3mz7E0H6NNc7YZaX8n99spx6doEPBxG0zYx+j0PFutphLcnsU4H48eo38AQGOu2oIUqdGCd6pgGfZsg6OxbKgOzzIzGueIVS5EM1mrt86qUqiA04hHjMLW8pbBMQzL7Bit8PKlwH6+GPHcdhXD+md1XcsUCQAlc985Vja2E3aOWKOgsXjtasOQstbix2KVrLVsrVbIsLJWv7HMjJbBMazsqUA0WkRHV/X85/odtpX67hIb6d7cxCbAv+hj694kXwIBAC4Yothcmu2GZzTydWhTmS3EAHBjH19Duy7iOdFkhSuV67eNhd+b4WvrK4xOtavC2944Yu/8QwVup19P8Zwi2c9974YOQ6kN4GOzbIDMnc226L8r8PW/O2FblH2E40MJNnpek+yn2LYJ3jYAZDq5nTakeO704VmeH398f5u5zg8btsg3p7ieB7u7KPaSKXseflMbz3tH9nEfKY5wbBS8HQC4IsXbetyYsk828Ln13JJtd2+fqzacR2VrFEIIIYQQQoj6RjdnQgghhBBCCFEH6OZMCCGEEEIIIeoA3ZwJIYQQQgghRB2wpEKQaZfEz6PnVMUun91nlk3kOLkxFudkvjUFFh60T9tZdrtaOTmzscSSkHKRm2WuYMsmGgxRSHGS73nPGOO6b2u0E3ovD/ZQ7L7W1RRLVTgJMu1ZyAEABzuMJNIJTuhtLnNCbUOREzgBoJTkBNixgNeZjXBCbinSYK4TUS67bmaCYm0Vbs99DfY6O+e4nt1RFrR8az0nUj9vxBC5ADhrmJNqt7fx9hvKfIwiZVsEkyrwvqey3Jf62jgZeXOO5SwAMNnIx2NfhvvCpjwnKA+6VnOdXXPVZS1Rw8nI4a1/LHtVs/wjxLRRq/zDkmqEuzuMsjVWKUyKYUk1LK2FJfSwpBJA7QINq1zMEH8AQMkStFjyD6ONis5+Zhmr8LaKhpAkapQrB2ECCyNYo1TjGNwyNQs9wo5RrWXN7n0MJ5LdP61jaa/01BiJmL5iAv+n//Sq2D9s4jEbAP7xYZYRNCe5n64vsFTrjLLdT7+T4DnR5gRfG/M5vgYenLLFEE0xFoWM7mIxxJuaOin21yHChS+ezXW6dorlcu2e267ZkGIBwN4N3HY7Bvka/rIWnnsNZu1jFO/gOdVdB7k9JlJcLl+y541Fo+yV+UmKravwnODHsxwDgMwYzxVe0MnbeU2W59HvjdjH/Zosn6XfjPN2miZY0NIQteck68vc7zp52oidG1h88tqyLYLZU+HjfnOW58e/bkjj7t5uX0POjVbPW2+UEEQIIYQQQggh6hvdnAkhhBBCCCFEHaCbMyGEEEIIIYSoA04o58w5tw/ANIAygJL3fstiVEoIIU4UjU9CiHpEY5MQ4kgshhDkcu89WzkM4pUyVuWqs/R2ttoSh9QECx9Sea5uEOckzLLxVXQA5ue4BxOcCDlT4jqtd3bSYOeMkciY5iTQvgR/ZX4FOIkSAA4YsozyHCeB5qL8w+e6sv0F9X0znAjZEuNk0ZEIJ7pWsnaScAp5XucMi1NmjC/at3sWZQBAKc9l721kUUcCvJ2zxvhL7QDQn+Z9ypS4L5xjJHvm4/a+72rhda6f5vYsgvvXbIgQZLyT+8PGEW6nnhHez20N3L8AIGm056vHBym2O8P9q6Nin0ftpeo+ljDkLHVEzePT4WnKYaKNmjHsBKYkBIAzTApW2cAQIViSkPmy1oY4FDGELmECi1rLBseyTmOfLAGFoTRCOeQoWaIPqzlKhvzDEn8Atcs/SkY5ax/DsKQax+CWMfuIJXIx2z2kPU35h1XwGIwctYpL/DG03YmftEtKzWNTgy/jglL13OkbhqQDANZ1N1NsRZHH8mQL99OyIUgDgMCYpt0Z8Dp3D/M18JKELe84p8D13LSKt//NUb6GXtphX0M/38/XxmFDajGS5GvWuwxhHADcso8FGGvaeY532zTPh6JTIUKQONdzw0wHxR5p5DbuTIZ08imeK3wqxrKKzCzPEV/j7fa8Jc7Hc2WB59yvbuP5w0TOnos+tIb77RWzXPdceg3FDrAzBQCwexUL0V4xYUhbsnws/2XUnr9s6OZ55/Upvg/49igf42c32QLBC6PVfeS6MPMW9FqjEEIIIYQQQtQFJ3pz5gH8xDl3r3PunYtRISGEWCQ0Pgkh6hGNTUKIUE70tcYXeu/7nHNdAG50zj3mvb/50AILA887AaCpmX9iFUKIp4kjjk+Hjk3NzfyKjRBCPE0c09wp06TxSYhnEif0y5n3vm/hv0MArgfwXKPM57z3W7z3WxrS9ju9Qgix2BxtfDp0bEprbBJCLBHHOndKNWh8EuKZxHH/cuacSwMIvPfTC///5QA+dqRlIhWPlrnqxL8pQ2oBAM0FQzYBTizdmmyn2JrKtLnO9hlO3m7jzcA1GvKPsp0knmsxEvSLSYpNG19AH2m0v/TeaiR2rsEwxTKzXKdy0UqbBy6d2U+x4VZOjtzn+AvssWY7Sbg80kmx3as4ubJhlusUwZS5ziZDQhHkOTYZ4brPhCRInzXE7TnZbIhPjL74YKst2njBQe4jd3dwQu/KQa7T6rKd1Tpd4LKPRLiNT48PUKxh1k7oXRHhbWUNSclUlGPrs3ZCb29rdf8uROovC/94xid3mM3AGxIFwBYu1OjeMMUOABCAz2VLjmCJLqwYAERqFIpYj+hi9nCHiiH1iBj2jpIlCQkRO5TNduaYtXTUaDcgXBRCyxtCjzBxiSUKsfYz6rlcmGjDCgfGLlWMY2QKX2D3W7vPGuVC+pJVttazPizl3aq/JS6xBSf2OsPOr3rieMamaLmCzvFqicR0H88zAGBjkTvQpgae6HyhyDd8L8zYDbt5ijtgfoaXf+4qvmaMT9jX5f4VXKdUgedzj2YN+Ua7faBXjfP1+vz0EMXOLPH1bs8+YzII4M+MtjvYyNf6b4xwLNlqz3MweBqFftB5gGLtUzxHPDfJc0EAaDfGiCuibRR7LMFvsI3E7fZ8ywC3094Ut0c8zeW+GrVlKO+d5PnkZ4yHo88ZZqnGxQm7Pfcb858vjfFc9tVreNtdOftX6TOmWJw2mWGx3u4St8flo7bw7rvd1XPZiSMYlE7ktcZuANe7+cE0CuBr3vsbTmB9QgixWGh8EkLUIxqbhBBH5Lhvzrz3ewBcsIh1EUKIRUHjkxCiHtHYJIQ4GlLpCyGEEEIIIUQdoJszIYQQQgghhKgDdHMmhBBCCCGEEHXAiX7n7NiIAJXGanPfigm76GPdbG9Zly9SrMcyyjkuBwBj7Ww3iuXYqhLLcrNkKvY6Gyq8vAvY3hI1pCzJOdvocjDB9WyLsKmyc4TNSltX2bbGsuN9msyxCajTz1EsH6IFS3ayBanL2E7R2J+Vo2x1BIB8jM2MIynez9VzkxSLJ+32LK1ge9VohU0+lRK33Vv6tpvrvD/YQLGNRp32tbJ9KjlrW7ayxqOSlcnHKdbbwHVvDOz+OZ7n82i4kc1KF46z1XGk0TZAzparTZkVf2o846kc9qzKsu4Btl0wYhjlbAdhiFnRKmuo52JGnWLOrqdlMjQNjkadfIiBs+wtMyMf/5hRLu/sfmIZ9ipGnUrG8mEWRHOfLAOkZUsMs0papkrLJGiZDUM0gs7QDlaMzhApG/sTctrVaiwM64u1l63NqBlmday17S0zY7ipMmRjJznxVBxrzl9XFYvstW1432thI91YjK+3zzMM1DN523S9fwNfczDE17uZft5Oc8k+WE0pLput8JwiHeVr6HlZ+9p0Y5yvd1es5nJr7uOOcscaexxdsYGNh/fs4nnKWQHvz2xgz8fazz1IsQvyPG+cMXbz6kSXuc6+0gjFfpBjq/TlEZ6jtXMTAwCazuD23LfbMGUb0/B7GuzJ/bWTayj28iiv4KYMmxlbA/uWZRw8pzqndQfFbm85g2IrHe8PAOwb5DnVDcbU7f1xPjfuCjGcH5yq3laxHD5gnRqzKiGEEEIIIYQ4ydHNmRBCCCGEEELUAbo5E0IIIYQQQog6QDdnQgghhBBCCFEHLK0QxDtEDsvYfbzVvj988dAgxfYbyZ67Ypys2TBtJ9mNtnOy62mznLC5L80Jfi/ALnOd2XwzxZJJQ94RcIJgrsJiBgBIOa5TU4HbabCLs0U72OcBAJiK87YaK5yEWS7xdloqdqJsr5GE+ZwRTgL9TnIdxbalOXkVsBP5u2ZY9LEn1cHljDYGgOg07+faSd6noUZO6H04ysmrANDiOFl10ujK66c5abq5ZMs7VmU5wXus3EmxDHh/Vs7YyeH9npfvyXLdy0VOip3yGXOdPl3dzqdKEn7kMIFGyRB/AECsUqO0wOjLkTAJg2FxSHjuj7GA+21DwMnpABA3ylqSE8v9UbF2CECxwp28aHSAnCEGciGijYIh+vBGzJauhMg7jOeO1vEoW/IOc40hsgqjtCkjCTlJvGG2iBiuJEv+ESb+MLdv9GXreFjl5v/AIUvaYi9d+zpNoUiN5Y78h5Mb5wLEog1VsVtSLM8AgI8Z49MPhrncfxR4nhH022aIvSXe1qUxlit8L2ig2HvWs/wCAO7c00SxVCuLqTZG+HrZO2VLHJBcQaGmHF8b797IbbRxzhZ1PfQ4izo6C3wNnpvjcfiSVlve8d393CbvN0Qdr9rN7fnptTy/BICo4/pfYAjrboi1UOziuN2eqV6eM18yxvPwW8Ed7O+bVpnrXJfkde4tc3teOM3HvSNi3y/8RonnfvvzZ1OslOT52Blj3OcA4N65boo9K83z29k83y/sH7frWW6pFrT4EJkXoF/OhBBCCCGEEKIu0M2ZEEIIIYQQQtQBujkTQgghhBBCiDpAN2dCCCGEEEIIUQcsqRAkXilj9Ux1Ql6Qse8Pe+MsI2jgvEycER2g2CPdnMgHABeMc3JkMs/Jyiv8fi6XsDONV6T5C+yJmFFR48vmJW9LHKxEbVesMZawEwwTWUMe4jk58sGG9RTLeDsBdeU4Z67vDDghd0OBE0DPn+BtA8DNqzlZtb3E+9liyD+aovYX6Vty3PaPp7jfHWzl5NvuKVsyMpXiBPKzz/sAACAASURBVNpuI4F1qpnr1DFqn3Y7Mtznd2VY5HLxLPe5nTFbXBIx+mLTOCcO72viNh5qDklqneyp+nfRc986Gakc9qzKkmcAQDngMSNilLU0CGHylISxfGDIIlIRTjpPRW0hSGOU+2Myyuds1BCHhAlBskXuu/kyiwViRV7nbMXuJ6YEwpBiFAKjP4Y06OFyFwAomZIQxpJ8hGEJXsqGVCNUBGOFjUpZkg+jG85jGDQsmYotGQkRrBj7FBhtby0dlvJuyVx8jYKWMO/HKeImItKlIp4/2lcVG4rzdRUAvj/J43ujcf3/9RUsQvhqE19/AeAdjSz1io3wuNMU42vT3IR9tC5dxSd5/xRfr7IxlpTM5FhqBQB5z+PTvdOGBMmo0rmrbSFIsp/Ht/ObeP7y9fSZFCsUDBMLgGdNskjua2Wu+0ua+Li9L2tb3z7YxG13TiRFsc0ZPm4rkuPmOk8rsLTla9MsMzlwPs8/Vh+whTV9K1go8qxcI8W2rzrA5Wbsuf3XC3xAf5biffoT3h38dJT7NgDEOnh+vqqP2/ObGT6P9q+1ZWqTu6sFMbOl8LmTfjkTQgghhBBCiDpAN2dCCCGEEEIIUQfo5kwIIYQQQggh6oCj3pw5577onBtyzj1ySKzNOXejc27nwn/5K2xCCPE0o/FJCFGPaGwSQhwvtQhBrgPwWQBfPiT2YQA/895f65z78MK/P3T0VXmgUp2M2D1rf5l8R4QTU/NGovNsmpM1iyHyjskYJ0K2GBKHaJq/Vj6bslONG8AJfYEx3MaNKjWWedsAkJ5jicTBgLdTMcQSvmynX+9Oc7LrzFQnxZornGh70M4RRnuMRSGrxrmNp2MsYjnYYCffrgEnV+5tbKPY1cOPU+zb3RvMdaYCTpzOdnCdukucoLzakJkAwJ4kJyn3dfCzjgv287EcTnIyMADMNXAfe+7MIMUeiXNS7IUznIgNAHe2cwbsRVlO6M1HuU6uYg8PZVT3Wx+anr8kXIdFGp+Cw9QFYWKISMXY3xpNBNEQ4YK1fNzxuRw1xsCUZc8A0Jji8aWpgft9LMbbKVfs53b5Aq9zJsdjk8sasgfe9Py2iiy9KRsyFEtqEUbJcf2tti8ZDW/JN8K3w8vHDLmLVR8AiBjH2OpKZp1C+pzZTkZ7Okv6YvQvAKY9xLrSlI1KhclQrLLWflrnYdjptqwjEXMdFmlsKpVLGJmovjZe3bnKLPv5KZ5TjZb5unwwYFnFBDuxAAA7G3le8DxDNtGRYAnDt0ZsoVh0jAUaD0V5XlAZYbnCxRlDugage5wlDvcnOHbaJF+/R+L2AHVDhcfX3Qf4utrS3k+xO412A4APPJv36fz9vO/b8jzPuSlvyyYu7eT9vHmS58df9TynuXKPPQ+Pz/FZnt3MZ9n5hnjsLGMuCQD/XeIJ8j1r+RrwkttYxra9yZZf9Rtz1Hd5LnvdMLfd77XY6/z7KN8HvHstz09zjs+DnVP2vHF2trovVSr2toEafjnz3t8M0Iz5lQC+tPD/vwTgVUdbjxBCLDYan4QQ9YjGJiHE8XK8OWfd3vsnHPYHAdh+SyGEWHo0Pgkh6hGNTUKIo3LCQhDvvccR3iZwzr3TOXePc+6e6Tn7+wxCCPF0cKTx6dCxaXbW/p6dEEI8HRzL3GlCcychnlEc783ZoHOuBwAW/mt/bQ6A9/5z3vst3vstjQ0hLzQLIcTiUdP4dOjYlE7zhzGFEGKROa65U4vmTkI8ozjem7PvAnjrwv9/K4D/WpzqCCHECaPxSQhRj2hsEkIclaPaGp1z/w7gMgAdzrkDAP4UwLUAvuGceweAXgCvq2VjM0EctzStr4pdMdxrlm1cwfa5hlmubpvxOtJ5M2whAoD7m1ZQbIPjB1fFaTbxrApsG157A9tWYmC7T1Os+rWEZNd5aD7/jYALMNZ7C4Z3/OjJv3nDlNaUYz9VPDAsa56NPQDQFTHaM8N1j+T5Cd2qQbbWAMDNzWsptjLKNrd8hOvZ7m2D04EKH6OOWd6ne5t6eJ0Fe523beR9ykyyGWlzmfvC3e0d5jpThumse5j3c3cjG7UigW2auvQgG36GItwXzpzlV1x6o/YvPxtH+djNxNjglIzyOoM5Pg8AYFVQ3c6xEFvgUrCY49PhVrgwy5wlMoyYMr3a3XGWYS9imPOihiMvbtgWAaAhyed3Q4qPVTxevXyi8zw0n/tmwAWY2fcLTO34/pN/c477jmXdKxlVyld4WQCIGYbZUpkb2exlIdq+wGjPY7H+WVhmxniF614IuO6WwREAvLFOq99YFsMwsaLVb6yyQcAtGmYodUa/KxnPdq3tWEZMwN4na5eO5RjVE4s5Nh30UVxb6qqKffogm+MAYOMaNu+1zPA1cHWOr5evT06a6/zTA40UOw1sEn5stItil7bY17vGBNezNMjXsc2H/bh43rmn4VVv+A1EAoev3HQf/v67tz75t5e2soWxvJfnjfEYW/taWvaa9TwtwXPMi87mseyMBNuir+yzX0f94x2875cYRadibNTe6GwT4LaJlRTryXLbfzbJx7Jtdp+5zr9ZxWXbJ7hOqyo8v7w2ygZGAGia4va8oJ/neDe2P4tiSWf3z38N+Lj/bILnc1eXuU7fM84DAHihYc/eb0yJmuJ8PIqP27dWl22oPj/6EvY1Eajh5sx7f03In156tGVFGA6tF7wZu2/7JIrZcWy6/COYGngA+emBoy8qhHgSjU+LjUPL+W/F4C1/g1J2DD2X/xmyA/ehOM2aaCFEOBqbFh/nHN7ypitx5V9+Cf2jU/jZX74TN9y7Hdv77AfyQpysnLAQRBw78bbTUJodRGFuBN6XMXHgLjT1XLjc1RJCPMOJt25EaXYQpblhwJcxe+AOpHr4CaYQQiw1G09biaGhMfQOjaNYLuPbv3wEV23h76UJcbKjm7NlIJJsRTn71CsJxew4Yknjy9VCCLGEBIeNTeXsGCIpjU1CiOWntaURo2NPvUbWPzqJnlZ+9U6Ikx3dnAkhhBBCCCFEHXDUnLPFJBKU0J6oThzc085iBgDIznHiXsEQGSDKT3Xz4/Y951kxTmDd186JoacZYomGEOnBdDPHV5Y5rTlZKTz5/yNzw4ilWpHx8/KMTLIZyI4++e8DSU4WTc5wQnYkxvXsC2zlbiLL7TlUaKNYsalAsXPs/FOcnp2i2EQnC0FgCFaysJNFz585SLG9jfxkLFPi7aQnY+Y6PXifzh3kxNLpNu5fZ+cnzHWOpridfZqTbzOBkfResOv5sy7uy88ZM0zLRtb89rT99HDDJLfnbc2cuPysPL+z/9IZO89oLN9c9e9EqXbxRT1zuKAgbK8MD0/N1oJQSYixvCVMiBpyHSsGAIHR98zYIdvxuTFEU21PViiSakc5O/Hkv43FgbK18xyLGQIKu2RIzLBNBIaYBwAMn4gpq7COR8WQdAAh8g9D2BO3BCeBvU5LBGMdd+sxasyQdAAwG88qG4kaQhDLdgOgULYS17mexugf+gTYGxW12j6o8HaOpT1PBRKxMjb1VF+zflywW3bbdr5mda4wrlfNGyl2YKst/3rjhj6K/aibZVnP6uBr7ek5e07yyexuip0xw+tsKj+Vi184kET3JWfjqo75el6+pgHIjz357+sNydm70zzHXBHj/P5b87ZUa50h27p5N58PD23iidKHG7iNAeANhkRiRw9f6+NjLEibGLOP0esCFsTc0sTzrFicz52XRdaZ6wwO8pz5deM8V8idyXPJa9rseu5s4PntYB8fj1WGvKoybZ/3V4xyPf/IEKd0gftHb7P9ZsjzJrl/fry0hmIf3MBzr6+utXMgb3m8eoS8vhg+XumXs2WgNL4b0cwKRBs6ABdBevXzMDtw/3JXSwjxDKc4sQeRdPXYlNXYJISoA3p39aKzpxOd7a2IRCJ4/rMvwL0Pb1vuagmx6CzpL2diAV/B9APXYcUlH4RzAaZ7b0Zxmp9MCSHEkuIrmHr4S+i65IPzKn2NTUKIOqFSqeAb//oNfOj3fhuBC/CLO+5Gn/HrjhAnO7o5WyYKBx/A2ODW5a6GEEJUkR96ENP9jyx3NYQQgth23zbc9ud/u9zVEOJpRa81CiGEEEIIIUQdsLRCkDLQNFGd5FeI2lXY38JJpEkj2/iq0V6K3dnCSZQAUAKLKVpHOCGv0UjSq6TtpNaVAyzlyHbx8pMBi0faJqz0aSCd4zaZNRKd8yW+t24YtxMmYwmWVUyXONH1sXI3xbpadpnr7Kvwl+JXjPFn7qcaODFzImJ8ah3AaVMs6jh9nGO3dK2k2Ooyf3keANYWWVzyeDNvP1HipPlOcLsBwHrPddphyGXWTfC+D3M+LABgY4n70mgDH6MV4zneToXFHwDQNskba2rnut+V5KTW7hC5TBCtbqd8rEYbRp1zuKDAFDMA8JZswnAzWF4JS4IQhuFBQMkwXRieCgBAucTbKuR5eW+UKxXsembzPDYVcpwcXyxwLJ+3RTimJMWydxiyihAfCCxHSrFWaUtIjrYlobDkH8WA6xnztgzFtHcYoajRGVzUrmjSW/IPjiWinByfN8UfALzRl4w2rnhePkyCUzJOEGs/i0a7W+UAoGS0/alAJF9B057qa8lQsy2BetiYOzXk+Nr4JT9CsQ902hensWwLxTbvS1Fs9SRLLYLManOdfzbA4pKvbuTr5XXTPJ/7QM6+Lv9OheUOkZWG1MtxP7mw3z5HV7XzmDdW4P73X49ze2zp3Gmu8wfDLD65It9DsYeLeyg21bbWXOe6Iu+nn+X2/GSe5z5nO1ve8dJGHiNuKXL/SgzwvO8sZx+jCwo8f/mnJm67Z49xub2G3AUAXhbjfrsj4HU+b5Db44LkfnOdz89xO/9X+zjF/ryPY5uLtlymbV31oDlje/EA6JczIYQQQgghhKgLdHMmhBBCCCGEEHWAbs6EEEIIIYQQog7QzZkQQgghhBBC1AFLKwTxDplSdVJ4ZtZORFwb5S9sT2c52fOWFk6iTEY5kRAAKgEncW6PcXJkvsBfuT8/xkl/ALAzwXVq9CygaJ7ixErPmwEApOc4eXcgwgm5QcD7WXG8HQBIzfF9eGuE2/65U/yl9qQhAQCAc1s4WXVnhL+gnpjmJHGfsXd+zEjiNPLBcdEYSy2aQoQg+7t5BT0jnMC6J8mCk82wv6EyEuGEz5XGAZ1s5H1vzNr7PhuwMGG8geu+P9tGsVzC7vMHurnPr5vh477SGXWaZsEJAMwdJiJwYa6Dk4zDWzrEC4HAEnBYsglrBSFSCsP3g5IpwDDEDCVb4pAv8vJRQ5hQqlE8AgC5OR4LsoboI1/hOpVC7B0lo6w3BBRW2xlDOgDA2HVTImFJPsKEIBHjIJmSkAqfEGGiiji4rDP2PTB2NG51GgDxGF8DGhIsnzqG7mm2SdnzcfcB70/RkIQAQNSof6FG+YfV7gAQMWQopwLJSBxnNVcLCjKjPEcCgFdcxNKDnfvbKfa+LNsIEg32dSTVzNe77xuejV8U+Lr6PztZEgIAn81voFg2xXKGN4GvTRevtOVCDQUWxH0zwfve0Mrzh7lBey56RoElaflu7tNnGPse67f7/ns28rcjvzm2jut5kOvu1trH6PZJPidajfnpO6Isz1gbs/vS95v43HuhMbh+fZbrec1qnh8CwJd2cj1XtfD89rY4z+fWzdnHyDfyPu2OjFFswvH8tNDK5QDgF2ne9yuz3O9mUhyLTTSb69w1dlg758PHK/1yJoQQQgghhBB1gG7OhBBCCCGEEKIO0M2ZEEIIIYQQQtQBR705c8590Tk35Jx75JDYR51zfc65Bxb+d/XTW00hhGA0Pgkh6hGNTUKI46WWX86uA3ClEf+U9/7Chf/9cHGrJYQQNXEdND4JIeqP66CxSQhxHBzV1ui9v9k5t34xNlaMOAy0Vm9yFrYRzgdspDsrN0Kx1nyeYjnDHgYAmwtsZWlkOSAihjVv1igHAO1TbM5JlvieN+bYyrIvYa80XuDtN0V5Px9x3EbNMdtmM20YszKG3bBsmHwaQnR8uWmuZzo+Q7GZNJueuitcDgBixvOCmYDr3h1hVdQEGs11bhrlbSWjbLSazbK5s2+lfYpEPNczEWerVGrGaKOKfYzGUkmKNc7y9mNl3k6iwP0DAMZKbKBMJNg8OmcMBe0J+xhNNx2275Ewr+HTz2KOT4fvRZi5zpIORo0msMyKlvFvviz3Jw8eM4pGvwuzIGYLfEwt617MOH5FS3cYss6Csf2CYXssG/ZJAIav0DYJmrGQx4vW8bAMf1bXLYd4Or1xPGOmSZArFQ+xCJrrNMZbazfjUXtcThtmxljE2L6xmy7EguiNYbBinCFzJcNcZh5hIO94XLd2yT5u9jEqh561S89ijk1zUY8H2qqP4e6QsonxVRT7Fc82vtMKbGvcN2H307d6vr4kC3z8hpvZnt1nWPMA4FVFNiG3xdguWJo8QLHPJbjuAHDJOF9Df3U1nw8f28nLX9LAtkUAuNGwYp7Hm0EpxnOnsxobzHXu6uVtpWbYNDnVuYJiL0ra84cOw765o8T7flWKbeK3Zu16vs3oI9Fmnj88OtFBsS+E2LMfT62kWBDnevbk2JK5Cbb58/oin/ebsrydNSWeO+UsXTGA3lE2UDY28bxx2jAuntVu96WmpuqBNPhx+Hh1Ijlnv++ce2jhp3s+o4QQYvnQ+CSEqEc0Ngkhjsjx3pz9M4CNAC4EMADg78IKOufe6Zy7xzl3z+ysfScthBCLSE3jk8YmIcQSc1xzp6zGJyGeURzXzZn3ftB7X/beVwB8HsBzj1D2c977Ld77LWnj9TYhhFhMah2fNDYJIZaS4507pTQ+CfGM4rhuzpxzh75Y/BsAHgkrK4QQS4nGJyFEPaKxSQhRC0cVgjjn/h3AZQA6nHMHAPwpgMuccxdiPqV4H4B31bKxoFJBOludWJoMqUJ/A8eHo5y0uNZIOny02U5u/O8yJwheNMoJfqUUZyWnOAcSAOArJYrNxI2kWiMZPsG5iQCAfS2cWNo2ywmTZ01ypQ6mbMlIkr0lGG/kZMRgmtt9JGkLVmBIA/Z3cd2bDIFFcYqTiQHgzg6Werxi/wDFJtO8nXzcftYwkePs3WyKl88ZyZ4tBfuJZTs44bOc4OPeVXqqnItEcd4bPoBKLAoXRNC35348ds8PnqpThOvfkjNEH418jKLcDeeJsdSjOeCE4n7HYp5JQ1ACAOn4YXVaxhz8xRyfaiUwTAplQ+wQNSQQVjkAiFjyD2PMiBnikLmiPYZ6z9syvEQoBKbNxFxn2ShbNARIFWPbIas06+SNTmW1uyWlAABv1NMaccrG4mF+G8P9gbIhq4gZx70UctzjxnE3DjHihiQkGrFFG4FhfYkZZQ89RkEkihe88n1wkSicCzCw+0Fsv+tHT/7dG5sqGg2SiPBANFe2rx+BKf8wypnSFrs96+nDrYs5NkVKZaTHqiVYZ3v7Wn+34YvYmucx4upuHt8/l+NrIAD89jifPf+jZAhhKjzRuHDMPqGKjkUhD8yOUmwleP5w/ph9bfqKMW/8gwKfY+8vsVCst90WirUf4D59f5zrmTzA27690xaXlLMs6rp7Lc8pzmrkbfeP2+f9Pxd4n76W47Z/fJbnNIb3AwBwUy/PP/qauPBjmZ0UWzW71lzn+SXuY3uM+elFU0+VC6JRvOT970IuGSAIAjzw6IP40c+fGp92ep7bryvx/Nj3GIK0LAtSAGAaLGh5QQu35xd6uX/uD+xr8umd1SmmQcyeBwO12RqvMcJfONpyQohqfLmER77xaRxMFOGCAC9+5Qcw+PhWjA/tW+6qnbRofBLixKmUS7jju59BIV+CCwK88NXvxVDvNowP8gRF1IbGJiEWh0qphJ///efxi5ZJBEGA9739vXh05zbs6zt1x6d6etAkxClPpTj/JCoIIggM5bYQQiwH5QXNdBBE4IJIyAcFhBBi6Snl58enSBBBJHLqj09H/eVMCLGIOIfLX/uHyDR3Ys8jv9CvZkKI+sA5XPr6DyLd3Im9D9+CCf1qJoSoE5xz+N/v+iA62zpxy923oPcU/tUM0M2ZEEuL97jpPz+OWDyF513xTjS29mB6nHPqhBBiSfEev/iPv0U0nsJzr34HGtt6MD2msUkIsfx47/E3//K3SCVS+O3XvwM9nT0YGD51x6clvTkrBQGG49XJiOfnD5ployXOal1piCUGkiz/6MraCZOWNSGbYNGGN4QgB0ohoo0CiyUSo5ZsgpMTm4zkWQBmRno+y4dqLMYSh7HATr5ubOFk053xLoqdB07S7Wu119kyzEm5zx1mAcU9mWaK9aTsxONLdnCbzLVyAuqBFCe1TifsJPHkHCdd5mKc6HpagRNDC84Wgswl+Bi3l3mf+pu5jdaMFgFkkduzA6d3no2BvfMDTLObpLIzBa77QJz3s7fZPpVXH+C+tCu+imJn5bh/jsftZNXxdPXxsOQNpzIV421wS+hRqVESAgBlY52BIYEolPmYBN5+wcMZtotymbfTGOMxMMyKUTYkJZbrwhJ1OEMSAgBW2JauWO0eUk+jUs4oa9WoFPK2v9XOhnvD3PdoyDGyKhCxhB4xvnZFI3ZfsrDO0Whg9FnvUC7NYaR/J7rWn4mZiX4AQGDIP5xRT2s7VhsB9nG3gtbi1rEM2/6pQA4Oj/nqcfd3WvmaDgCxLF9HLlvRRLFbyzy+bInxtRoACg3c3v1TwxRLrea5ws/GbfPZ3BgLODZEzqbYnvQ+im2a4XkKACQMF9wd93Ms3cxzn8GCfd4/ey3PC7493k2xvzyX9/0/k4adBcC5+1dQ7E8jPFf48GM8P774Atve8bt3885PPZvnBbca59h22PV8YYW/kT4YsHjkNRFDEjJqzxsfr3A9z0/wvPGfjXH4Y0PzQo/Y1n68fsUWHNh6BwDg11u5fw4YIphdJRa53Bnn/QGAK3LtFPvaY7xPbzxckAbg0QLvDwDkfPV5aEmmnkBJL0IsEfFkGrH4/E2+i8bQvP5MZEcHl7lWQohnOrFkBtGFsSmIxNC5ejNmxjU2CSGWn+ZMGpkFe3QQi6L1zA2YGxxZ5lo9vei1RiGWiFRDE55z6RsRrzg45zD62H2Y2K3P3AghlpdEQxPOu/wtCx5/h/7dD2Cod+tyV0sIIdDe3Ig/fMvr0BNE4JzD8H2PYuyRXctdracV3ZwJsURMjg3gp9d/YuG1RiGEqA9mxvrxy29da742K4QQy8mevoP4nY9/Bh8zvsd6qqLXGoUQQgghhBCiDljSX84SlQo2zVVLE/Ym7a+yuzJnyg1H+KleY84QesTse85Vc5ykNx1wcmI+zcnXDX1GpimASJwlEGOGSKHgWSCRLdtfuV83y/Xsb+SEy+TsLMUSOU78BYAJZwhNYlynySjXvd3ObQSMH4Du7mmh2MYiyyZ2pTjZEgC6V/Gxm27kbrp+kivVPmknyo638vLNOd7OUIaPx4Y8J1cDwFCc2zM/x/KQ0yqcgFoK7OM+muJk04kSr3M8wcdoxQwnpQLAjHF6rRjjBO3pbj6YsbydXD9bqq5/+RRNwg+TC1iyCksCETEkEBVDagEAzhCFVDyXLRvikWLF/rUjMKQYQZHHtpkK97ukIYsAYIpCvJFgbok6QtvTSoo2milq7Hs5sNdp+UyM5jTFIYmKLZTKgdvZPMaW1CLsFDHiljvEktCUKyFyGaNNioYIxhSfhCSol40dsOQyVt3Dct6tfhOm/6gtdurSEgR49WEipm8N8XUVAIpl7hf3GeNLW4GvA5lOW3x2yTTLRx6LszxkbgVf284Y6DTXedpaFjHclN9NsQ2GVOu+Igs1AOADDVzPG9ZzLDrFAozEiD0Xvc3ztTHdtZJiN08+TrEz5+z2zE9w27+/zOKRN27gOdq/Ttq/Hl35nDaK3ZhmacvLZ1i6tmbInt/2ruG23zjHx/2XFRa0XJmxc1YHoryt8iQLWv6xk/tCsWjP8X7QwO05OM1lR425+Qu8ve9DbTy/vqiP560T5/E1tSfkGP18uHp8K/CiT6JfzoQQQgghhBCiDtDNmRBCCCGEEELUAbo5E0IIIYQQQog6QDdnQgghhBBCCFEH6OZMCCGEEEIIIeqApf3OmQeCwwxNE4ZJDwDWDrDGJBJnk1OaxTPor9g2vEqC70W7wDa+mTnezkzaNrq0V7iezSVePm9YIfe32h6roQJbdwLwdnJxNvkFEdvaV4pyO589ziafiVZeNjpnG3LiLWwX6pxmm01jjPfznAk2NQFAvsJ2oiDPy4/FuE6bU2wMAoDAs41uIMbGofY8W5lKOa4PAEyl2MJUMaxOE5Vuig21cX0AYMI4Hc8sDFFsssJtfCDJ+wMAccemqsZZPg9GSx0U64zbNrCN0yNV/06Uj6AcOok4XB7nQjRztfrkKkbQshjOr5MLV2o0HlqmSACoGJsqGsbBuCX9i9gmQGcY+mJGPYtGlSzbIgCULAuiUflShLcdDWnPsjHmVCq8fNyoU8HYDgAkPFscC84wZVoNH4JlN7QMkvkCb8cdw9W7WOTlA6ODh1kly0bblYzCljk0tDVMU6VhujQXrv08OhUInEPaVV/zpjYbF2sA5z3G5rqGBr5ebqxw7Ps7+JoOAEE3W6Bf2Mo2u3sO8PVquKXHXOeFzdxXnj3E69yT5WvT9Y22Rfk7xrSiLcrX8I4oGyRXtNrzB29c66/s76PY2Gruk6Mj9rW+p4evrZsHeI7Y1cXX1rdOcBsBwMEszz/Weu4LjxS5nm9ea1/rUxFu0B8WDINjigejeNEeoIZLfDySCbaef3qUj/sja+25/d5Ztm/+n5Vsz9ybWEexu0tsGAeAFRluk+Y8WxjvG+Hz6II2+zy6pPdA1b/vKId/81a/nAkhhBBCCCFEHaCbMyGEEEIIIYSoA3RzJoQQQgghhBB1wFFvzpxza5xzNznntjnntjrn3rsQb3POo4NpiQAAIABJREFU3eic27nwX/sFaCGEeBrQ2CSEqFc0PgkhjpdaUopLAD7gvb/POdcI4F7n3I0A3gbgZ977a51zHwbwYQAfOtKKChGHfc3VyYCbDPEHANzdxsmAKydnKBYvswCjIcESBAA4EOXEv6zjRNfuOV7nyhwnHALAZJqTAYsxTiBtD7hOnRNGMjmAfJITz0cdJ1EWjKT3teA2AoD9rpFiVpJ32UhwLzfYyddpI3G9Jc4JpLsqfCw3OTsBdTTO+5nOsvUlZiR+5wyZCAA83MTHfarM7dGR5WPUm7ATUAtTLGPJp3mfLMlIYs5OWl8/y+0cz/EpGo3wMdo0ZffPsfXcl8sVTjw+e2aUy0W4HwLAYLq6nY1utFQs2tgEhAtAjJJGpDZNiCWAWPhLTcvbSg0bZywfcbyGwDh+ycCuaCTg5fNlQzJiDOvlkAaOWFIMo06W/KNs59sjbmyrFHB/LnveUMqQLwFANs77GS1we1iClkqIacNb9TR23hntkbNPT3P5WJQLW/INSxICAAXjJC+UeGyyJCGlkGfA1rlQq2zHkqYAQBB+gi0HizY+TbkKfpSoHsuv7udrEAB8upHnH+v3jlDMxVhu0NNsGNYA3DzHJ9p+o0+cnudr7bMMaRoA3FHha1Z/kuUhXY7nFK8ftQVYW42yu3N83h6Ms1DkN1bZ9bx9mvvU0BjPFXLreJ5TDljIAQDrEnyMVrdx3a/bw/v5pnX2vfyOHB+7jjHe/toOXn6iYJ9P/8+YUu2Pcb+7KMHzzp+X7QGqecbot60skrmsmetUrthz+2uS3O9WTvJ87CC4Ti/ttwUrxat4fBvZxufRa+LcxsVBez52f1t1XyzZtwAAavjlzHs/4L2/b+H/TwN4FMAqAK8E8KWFYl8C8KqjrUsIIRYLjU1CiHpF45MQ4ng5pmfezrn1AC4CcCeAbu/9wMKfDgJgZ/j8Mu90zt3jnLtnbta+QxVCiBPhRMemWY1NQoiniRMdn7Ian4R4RlHzzZlzLgPgWwDe572vkvh77z1CPjzivf+c936L935LQ9r+GV4IIY6XxRib0hqbhBBPA4sxPqU0PgnxjKKmmzPnXAzzg8u/ee+/vRAedM71LPy9BwC/NCqEEE8jGpuEEPWKxichxPFwVCGIc84B+AKAR733nzzkT98F8FYA1y7897+OvjmHSKk6ya+QsRNQNw9xQl02zfeSU12cjDc3Y3/xu6vMrwaMGvKOh1s5CXNFn/HpeQAlI48yZiQlx7Lc1LM99tfBu6c5yXwuzWVzEU5gfSzXZa5z/RwLH8bjbRRrc/yl9mLM1hAMJDiheGWOE23T0WGKuTn7ucAmxwmXU46lHL0RTr7ti7DcBQBesIv3/a4OXudkipOeYznbOJAIWLTxeIafbo5kuD0jk/Zp1znD58ItK/iL9oUyH/c5Q0wDAD2G5GSmmfdpX4L7QleIBCdWqe70fpm+yLG4Y9OxwOe3dYaYrWLnXdcsR7CiPmylhtTDkoRYoo2EZekAEDPWGfG89z7K28mHZD/HjNYrg8t6YxyKhOx62TjFrLPOqns+pD/Hi0bZwKinIcWwhTG2kCRqtEfRqlOIEMRHDEmJ0faBcSyLhtwFACqGZKRkSDlKxv5YgpQjxamcsZ1IiPijZJlTlonFHJ9cxSGWq26HqXa+1gLArzzKsqtsN88LRtp5TrN3b7u5zue18jzrnjy39ZejfFyeW7Svy6WAbRMZ4ySd7OX+fOMq+372ot3cf+9ZYcwxm3k+9VdD9r6/PcLzl6EWbs+LDEFbf5staLuhzNfbi8FzijVrue6VAVuK8avGMRrO87X+zhL3jztKtkzto4O8rY9UuE5j7caBK9jz8LVN3Pa/XMF12jWzn2JNAywzA4A1Fd73z6w6g2KTg70cy9jj0It28ZyqP81zrzvLvD+bKvY6V8cPu98wxssnqMXWeAmANwN42Dn3wELsjzA/sHzDOfcOAL0AXlfDuoQQYrHQ2CSEqFc0Pgkhjouj3px5729F6PNevHRxqyOEELWhsUkIUa9ofBJCHC/18w6AEEIIIYQQQjyD0c2ZEEIIIYQQQtQBteScLTLV94MjRU4EBIDGFMsIVhtflJ8qcNLeRNyWIzSVOeFyxSTHVjn+sngpYd/HFgpc/2SGE3WnU7x8MiT5OkhwAmxTlBMR101xsuaBWfuQ7k2xQAMNnMgYgBMuZxrtBNTEIYmhmXQzrnrxa9GUbAA8sHvrL7HzoZsBAJMRlq6sgC2CKQW8n5UEl23J8nHLGQm1AHBHNyf6rihNUSw1w2+gDIYc91WGlKN5iPczG+VP2HTM2aKNra0cO2OU++JAisUjq1JcDgBKAyy3WZcYo9jclHHONNj7PhqrLhsqpDjJONzjYPgSFsoZgoKKIeqwmiVknWYTmpIQSzZhC3ssMUUk4LKBse2IWXkgGWELRdRxRS0xRNIQagBA3nHSetRo/IrRHX3CbtCoe2pbDZlmvPClr0eiYV5gtH3bXdj20O3z9TSqFCvY67REIc5Y3hmyilLIORIxDnLRkFrEjP5VCJFfRAx5RzTg42a4UOCNZQG7/hUj6d2SfISJP6xWNvu31Z7GOQjYgpdTAucQjVSfJ3f12v10Qwtfry9q4vbqzfGY3xuxj//pEZ7nnD3G15EtmwxZ1bR9XZ4cYymX62Qh2I4VXKcx9mwBAPYnrUGC9/2vDIHEQ1N2e/6yaTXFiuB6piZYEvJggaUWABCvzPfTzuZm/PFvvgGtmQyancejd/8SW++4+clyD+d4Pndlqy2Sixnelb0zfIw2lnlO0ju2x1znXxj7flmMt5+Z4Da+fZrbCABe3Mb97qx9PE+ZTpxPsRc22hakr89uo9irx1jk8nCmk2IbzrWPe98veJ/eeRr35Z39XKd1p68113n7XPW5eSSB0TLcnIlTEV+p4Bd3/QixA7sQjSXw8te/H4P7t2NqfHC5qyaEeAbjKxXcc9v3MTR6ENFYHK/8zfegf/8uTIzLYC6EWD7KlQr+8Yffx87+Pry9IcBv/O770bd7OyaGNW96pqPXGsWiMJudxtBoPwCgVMxjamwQqQw/DRFCiKUkOzeNsZEnxqYCJsaH0JC29d5CCLFUjE1PY2d/HwCgWMhjfHgQ6SbNm4RuzsTTQENjK1o6V2P0IH9TQgghlotMYwvaO1ZieNB+3UgIIZaDTEsrOnpWY+iA5k1CN2dikYnG4rjkqrfj/luuR6lov2suhBBLTTQax0uueBPuvO37KGpsEkLUCal4HL/yhrfjlz+6HsW8xiahnDOxiAQuwMVXvR29O+5F356Hl7s6QggBAHBBgMuvfCN273wAvXu2Lnd1hBACABAJAnzsjW/G7ofuxb5tmjeJeZb05izwFSR9tXmv07DmAMBAJEOxbJbtKQ2eTX5nzkyY68yz5A5o4e2XEmxfGS2wUQwAWvNs/Uvm2Rg1k+KmTphrBPIpXj6Zf2r7Z77k1WhftxmluWk89JVrq8q1BDPmOlfOshmyLc513xtns+FKw3IJAC5dva0XPP/tmBwfxqMP3g4camAzDG/TMbs9IznDNGa0VNsMGw/7m+wWbZmbpdi6CrfT/Wm2GBUNUxgA/DLC7bQRbExcNctaqR0tbKkCgFiR6z9T4uM2Z/zgHYzaBqfJJjYjxebYvJVpYMNX96h93NcXq8+5/yjYBqWTjcOlg4aMDgAQMfpE2VAe1mxwhG1WDFc7VhNmw7MWrxjbsV6fCAwDIwBYMrfDy/a85E1IrzsXxbkZbP3yU+PTtKWFBBA3DHt5o6yPcp2iUdvOVz6s21/84tdianIIjz1yMyKHnFIV4/yyzyTAEB7aFkMjFmb+tMyMUcvMaPavEAuisbFSha8/Zj8OsSBa/dNqecu2GNaLbVujEbPsqCHj8pHsZyczgS8jVa6+Xl+z1jZd/4Rl0Rge4qPVnOYx/9em7N6fb+BrVte5fL0ai/F1+e5Ro0IAVjqep+XG+STrb+K54FTJnj9sa+bz2R98ylT9L799Ga6+aB3K2Sn89T9+tqrceUnbLpga43nBNWewmfm6Pr7Wvihj19MF25/8/6/79fchO74dd9x0L4Dqfc0Zx+igMTcGgMgkz2VXJ9i2mO8bpdhAE89nAGDl0EGKXbmphWL/OMftMV2x+9In9vAxumoV95vnFzl2fcBzOQBoTPRQbCLL+usJY3687Sb7Fffi6nMp9uAI99nN6/kYb9rDlkwA2HLY/PbnIWZgQL+cnZQMPHofDjx0B8556auXuypP0tmxCadteAHGRwZw1evfBwB48I4b0N/72DLXTAixlEw8egf67r0VG65803JXBQDQ1b0eGzc9G2OjA/i117wXAHDfXTegb//2oywphDiV+Mot2/HPNz6C77znRctdFQDA+jVn4dnnX46BwX04433PAQDccsON2PvYzmWumVhudHN2EjI5sA/JRn56sZwMj+zCv/37O+HG6qteQoilJTuwC6UEf/NnuRga3Icvf/F/wxdPje/xCSGOj1u3D2Bdh/2L43Kwb/+j+NBfvBIA0DnF3/USz1xOzXcAhBBCCCGEEOIkQzdnQgghhBBCCFEHLK0QBEC6VJ2YOtRoSxz6pjootiqyh2IHPVs+zkoNm+vcFucEwa4ZTuaLlUsU256wkzCb5zgJM1keolghy/vZkWEhBwDEwNtPlquTKOPlKCrOkVgjn7Tvt6MlTs7c2chJnLE01yk2xwmcAFDJ88cSJ9L86tDqA5z0+EDKfu1pXdMuisXHeZ25NB+3REgyezrgZOjpGLfTSnCi7FSswVxn0fP2O/OcLLo7wv34okHeDgCMe34ldJXRl9KG2KYS2Mc9Nsn1jzaypCSb4TYazXL/AICJ1urjmUucGq+LHd5LQ5wYtvChRvlHWEs5Q4Vgiz5qLWfLFcpGsFjhvlMJOZeslVpFXTC/r4f6GWIRW97hje1bjw0jxgEJE0BEi7ytQo1SC5TsdZatAxpmeDl82ZD2tMQWxRrlMuWQR6vO8x+s/lU2+k14n2cs+YdFWLnadDd2ncLb0+5jJztx57A2Wj2HeLCFBRQAcM9jHL94NV9HbhrmtnrXZlvi8MkhljM8b4glEq3GK4OfytrStzdFVvHyYFvh6Xn+YPyzum3hws0H+draMVHdHivj7ZgpvxQ/naieZ13cbs/xVma4A/71HIslus7kttuw1/7Yff/UmRTbu4ZlKK85wHPWf26x1/naDfso5nt5nYWVPCfoKdtSr7YVfDwH47yfWyLcP6bWsEgFAGKDvK0LXB/FftTP84/3t9q3LL0FnmddGuc+/7Mmnt9Od9kD6f5+ns8lelgaM9HFE7ID03zcAODWldV9bvKH4WOofjkTQgghhBBCiDpAQpCTkHVXvA2Z1ZsQSWbword9BLvv/An6H71ruaslhBBY+bK3I7nydESTGZz/jj9D/x0/wsjWO5a7WkKIZzh//b/egS3nnYGW5gx++rEP459++FN8+457lrtaQhC6OTsJ6f3xdQCA4SDsS2lCCLE89N/4/zBT0KVFCFFffOgTXwAAVDbYr50JUS8c9bVG59wa59xNzrltzrmtzrn3LsQ/6pzrc849sPC/q5/+6gohxDwam4QQ9YrGJyHE8VLL480SgA947+9zzjUCuNc5d+PC3z7lvf9ErRsrBw7jjdXJmckJ+/7wgnFO5htYzYmuU46T8WYn7S/ST8Y54TPnuQk8OGHyzIotGSkbwoh702so9opx/gr5SNT+enzG5Sk2Y5RtneHEzH0RW2BhJV93jHIyYmaakzXbK5zsCfz/9s49OLKrzu/fX3dLrUfr/RqNNA+PPcZvj2FscIAFvCEY2AKyLBRLliVVbAgLW7BZapOFVJEQSKU2FWCTIsWWgWWdhCzvAGF5GfCSBRbbYzyesWdsz8Pz1kgaPUZSt9Tqx8kfahJrvr+7c6WRNFfN91Ol8ujne88959zTv3Ouus+ngae7eGNqV55lJsfbeFPpjjx/8zwAWIE3dj7hyEPyJW5RYxP3GwB0Fzg2knOEHgVHxDIXsWHT+cPbVOC+P9nEbe9KOxUCgAK/Fv7njusptmd8hGLnu/3X0WCWN8BOGYtcMrPc9u2L/utoZnZ5O83fS7wRrFlu8ogSFng97Qk0Ul4JEYV6goMGRxbhSRwaIgr1ZBlVT0DhnF5c9CVADSk+OO1cv1zlerpCDfiSFM/rUK5yndIlf/AV03ysOW0PTp08aUrUsd6hrjDGuTbg3yNf/uFJaNwi4XQ9LKa840p1GlFymrjElYQ4w7B2/URto1+z/FRqSGPkEjmDPe3Pd6+dmKLYz7fxWiG/bQfFnpk45pY527GFYj8ps8Bq8sw5ir17t39P5kdYFPKJwk6K/aCap9gH53i+AoA3DfC8/r1yE8Xe6rx4DkcM3bLzonjBKMsqXpTnXPTCqi9Y+WQPrxXudpbjn2/kMl9Z8r+gumPqVop9LstrtFMnT1Csd5sv/7p2jDvl0UZeF7wQfP7iGV/a0tjHi6ejs9z2Rxzj0d+2+I8sYZ7XVK/p30qxN5xeoNhT/X6ZL+jgcTcSBik2dojlMHsrftufeGb5uK0uRC+eLvtwFkIYATBS+/esmR0GwJodIYTYQJSbhBBJRflJCLFaVvRnJjPbCeAOAA/VQn9gZgfM7C/MTB/iFUJcFZSbhBBJRflJCLESYj+cmVkOwFcB/GEIYQbApwBcC2APlv469LGI895pZvvMbF8hz28TCiHElbAWuSmv3CSEWAfWJD/N8kenhBD1S6yHMzNrwFJy+XwI4WsAEEIYDSFUQghVAJ8GcJd3bgjhvhDC3hDC3hbv23OFEGKVrFVualVuEkKsMWuWn9r8L0gWQtQnl91zZmYG4LMADocQPv6c+GDtM9UA8I8BPHG5stKhiu7i8r8AnWnhTaUAkG/ijYg3zvA3dl9M86bY0VbeAAoAafAG1LMZXpTdVODNhQsVX1vfkOUNnzfN8WbAp7u4Tt2L/q7mZ1t4E2ezY1042863LzfhbzCcdfb3Lzbzs/nhZp4Edk/7coDzzVz/pmmu+9AU36N0M98LAPibJt5wGbL8rsbzivxN7ZVF/x6N51iAca6R7/tgZYJizSlf3rHNOD6f4Xt81/woxfY180ZVAJjfwWNpzzTLP9oWeYdydtLfHJ7O8sbp4PxNptXZt3x0kAU8ALAwt7zvKuaPj/VmLXPTSvBetRZTZeCJQwAg7QgjPDmDJ3YoR0gY0o7AouRcf7HK42G+6qshMmU+35wyS46Vwrs2AJSderpiCWeMFs2fwtLgPFgs87HVUnyBhdcjnufDGwue8AXwRSFlR/7hjQ9PEhJVptefXj3jCjmWjo1bpl9P/3UU77gocYkr4blKrGV+aqyUMTSzXEr2N2l/7HfdwrKJV8+dpNjRaZYjHOrwxRBWYbHUT8d4Dn9dKws5jh3gdRsANA/wfPsR5yH0vg6+27vG/YfV+2Z4LrpukPvpM1XOD7877UtGGnu4nRWnzI+XuJ6/P+7fo69UzlDsJaXnUeyNTt7oG/TXOe89wyKYbDeL9d58M78LW5nzyzzQy+u5Q85S41U7ea0w1OR/GqW3h4UiZ0Z47fT+Fh5Ln57whXdzQ3zvfrfC0rlBcD3bJ/zx2dHHYymV4vMHmjj2w35fojd+arnwrhQxfwHxbI0vBvA2AAfNbH8t9kEAv21me7CUO08A+OcxyhJCiLVCuUkIkVSUn4QQqyKOrfEn8P+g9e21r44QQsRDuUkIkVSUn4QQqyVRXwoihBBCCCGEEL+q6OFMCCGEEEIIIRKAHs6EEEIIIYQQIgHEEYKsGQGGxfRys8nWOd/okimwAeV4dohiZmyeKQS2vABAQ9kx+TjGomyJz5/p9c11nRW2spwvsx1wvsImn/Ysm/wAoD3P9ewtOLauLjYONS60uWU2O0a2dAPrz4Ijunys3/+OzOI0mzb7i2wMquTYhnOuwn0EAHdMjVPs8c5eik2n2NozkuXjAKC7xGPsjim2Tx1oZYvir+XPumUulrmjmhwDZb6Fj7tz0S9zbJrH2GSFbUm5Dh43kxn/vmOarVbNTWy6TFdZwXTziG9Zu5BbbtlqDL7larMT3+MXbaTjMn2bnHe+b2t08oBjOwR8O2Kqyrkl7Zy+4OQLAEhV+PxMimu6AD6uEiHS82yTXptKznEpJ68CwEKVpzZvmJYdq2RUf3q3zrNvugbHiLZ7FkfX4Ogc5xkcgfhmxrjHAVFmxrjX9olrZox7btT164GQTiNcYh2+/RzbDgGgeZxfez/IbKNYoczGwMkIe2lXH8+N9y5yjuhc4GtP7PKN3LlFnpcfmuQ58KFpfi3/sz2OuhXAe07w+XdPs5n5gSE2at8+s8MtMz3N66yZNM+hj7dyLvpP27vdMnPTz6dYdZGNmk27+DrfOe+vRX+vzAbp/1XgtduzaV6nPFEZcMt8XgOvr99S5HZ+7iSvmf9Dn1/mI0/yGq9vmNu02M51/+Mu34L48xmOPznPa8ThnXzcRGrYLfPccT6/reU4xdrz/AzxzvQut8xHe5eP+e9loryzeudMCCGEEEIIIRKBHs6EEEIIIYQQIgHo4UwIIYQQQgghEoAezoQQQgghhBAiAWyoEKRkaZyx5eICa/C3ABcGeYPg0DxvIG2p8HHzBd4ACgA9VT4/1cayiunAmzg98QcAlCq8aXCymzeQdvCeQWDKF5dMZJs5mGZhg03y5ttf9HB9AGDLIrezEJxN+0UeErunWZ4BANbA8o/zYIHF2CJLKRpa/A29jRf5+tmit2mf7/FAw6xb5paL3PnVFJe5K4zwdWb9/mxr5zKH5rmPv9uzm2Ivnz7tljmdy1JsKs0bRg838UZZK/tj6c4ibyg+3Mbja0uBbQk/D/4G6eHSuWW/hyiBwiYnSk4Qv7VcQlSZbhd6AgpPHBJhmygH/ttbytGMpJ2/0Xm5AQACpzaknPPLlfhlejqZktMhlYojCXHauEQ80YcnBDEnBgBlJ2eYYznx7lHUS8STf3iSEE/+UYkYiSl33MUbtXGPA6KENV6Z8fElIys5fyVX2zzMLFbxnXPLRQ6Lc1FrJ54L7krxsUMplhYcPOP39q5xlkjYNp7vzgQWj+TmeA4CgMYWnl9ODPIcvjvP81X6oLegAo7MsYBruJPbvnWE13h/mmNJCAC8toHjs0UuM1NkKde7Fvw1SVvPkxT72RTP/w8e4ex43fN9mdr2x3mt0szLRoRqD8X2tPjr2xsneZ3W2MB9/OIOvseFEzwWAGB7K+fs1zbw9d9d4GzwwSlfgnMow31yZJH7/r9f4P5sjFjbv6vK53+xwq+tu3Pc7//ikL8e+7Xty69fLEfnK71zJoQQQgghhBAJQA9nQgghhBBCCJEA9HAmhBBCCCGEEAlAD2dCCCGEEEIIkQA2VAgCC0g1Lt8Q11h1dpgD2D7Fm/RGG3nj3Y45/gbzU93+pubOPG92bXD27eUc8cjxCNFGD++TRa7A3brTkUVUm7yt8MDpDt4YOppn0cY2R/JRbPJFG9U8i1OOd3Kbds1x20spf5Nw8wLXf9i4ThMN3J7svD/0Trey6KPYwbtaBy5yO5vnnd2vANLOpv08791FU4n/VvGsv6cVrVXuz2fmWdTx0rMsGTnX4o8lT3gzXCxQ7Hgv913LRf91hAofu2uK+6MIrtPulpNukXOp5S+aevGBXNqOCM+GqxzwRQiOQCJCWOC9wlKOGCI4YghPQAEA5jSg7Bxbcq6TiripwZF6pMtc+2LgcRcxQrHoCUUc0Yd3ftURjwCA5/TwxDXe3fDEHwCQcipQdvrOHTcRYym2/MO9R1FjyRt38Yh6LUe9Fuj8mNcBouQf8V8z/vXrJBldQipjaOtc3rZQ9gU7v17gufHRMr9OXtXMc9j323m+AYAdRV6PDfSyqKPnDIshvp/zX6M3tvF8fXt+gOvZxGu8qRY/m5zq43nsry6w/OOdzSwza+x3FnMABmd7Kfa9DNfpd5odwVrB78+mOb5Hr+/iuh+och/vnveFIH/dypKUSsdFit1Q5TVW50KE8M5Zk5x31h9bq7yQ/sENfpk7m7dS7DNPHqfY+9OjFPt5xl83vqSB56AXOgKpbzvPG10T/n3PNPKa+y0N3HfzgdfBb73Zl8ucLl1Sp7/n7TG9cyaEEEIIIYQQCUAPZ0IIIYQQQgiRAPRwJoQQQgghhBAJ4LIPZ2bWZGYPm9njZvakmX24Fr/GzB4ys6Nm9kUz4w8wCyHEOqL8JIRIIspNQojVEkcIUgRwTwhhzswaAPzEzL4D4I8AfCKE8AUz+3MA7wDwqb+voHQV6Cgs39zbP+MLLA72s7Hh5efPUewXg7zZM+OIKgBgspVzYHGRN/3dFk5RbHaGv1UdANpKvJlwB3gz4KKTf9Mlv/sri9wnM0284XLCEXX0zvKmUACwBq7n8BRvYJ0x/vb3zpIv2jjibJjcVeWNtlVn43opwg5QbZ2hWAV8nYzzzepHW1jIAQCVHI+HVuM2dc1zma0X/HuUa+Vvqj/c3E+xZ7q4P/vy/ibh7gyP70darqXY8CL3UVPWfx2da+FxU8zxGOlmjwtSYJELALQUl/dnaiUWgLVnzfLTpe3wpBLeccCVSUIAIOWUENcrUVmBBME7ctGRb0QVWa446hLjPOLVsxTxt8CKY6HwxCVV57ioe+RVwJNNuAKMiNzkyj+c7nBlJM65gC/18OUfznWiRDBu1DnfOTDqtexdyxuzrtAjwibi3U9P/rEyycjVTUaXsGa5qaFqGFxYvoa4ed4XS32+m19nH82zGOLPu3nwZs/6coRn23geefwoz21v7eA57EzBF1hsmWNhxBuHeW46PcbjZEuW1wQA0J7neTk1yPV8OnB//EN/Wkauk//Hvee5zJPOMum6CGnLN4xFH/+01Rn7U9wf56Zn3TJLmTMUWwCviXJl7s/vVrg+ADDby+uKYeP11HVpPj932E+k6f7hyzjxAAAVC0lEQVSjFHs0w6KNhwdYDrNtmtc+AHBrjuUhfza9hWIva+bXTFeE9O1xRww13szPBtdO8Box50hXAKC9sPx+pn3XHoAY75yFJX6ppmmo/QQA9wD4Si1+P4A3XK4sIYRYS5SfhBBJRLlJCLFaYu05M7O0me0HMAbgAQDHAEyH8P8ckmcADK1PFYUQIhrlJyFEElFuEkKshlgPZyGESghhD4BhAHcBuCHuBczsnWa2z8z2FfL8nQlCCHElrDY/PTc35ZWbhBBrjNZOQojVsCJbYwhhGsCDAO4G0Glmv/yw5TCAsxHn3BdC2BtC2NvifMGwEEKsBSvNT8/NTa3KTUKIdUJrJyHESohja+wzs87av5sBvBLAYSwlmt+qHfZ2AN9Yr0oKIYSH8pMQIokoNwkhVkscW+MggPvNLI2lh7kvhRC+ZWaHAHzBzD4K4DEAn71cQRUYZi+x1Oww376SLfNfij597U0U+73RRyg2FvyPcC9WWKfTtsgmnvFmvnYb5igGANsX2G50polNQo0NbLg53uobILMVvi19eb7+ZOik2ESbf0u7Z7mdXY5MZ6GZ2zO9mHPLbGzij1ocL7I9c26Bz09lfatkv2ObvGOMrU5PZdlClK76pqmbnL7rMjYezTaxmeipFNsSASCU2frT0s790V/ga080+patuVODFNsxdJ6vM8f3eLTTNyvO5Pl+3DLBZY45JtPWNJs3AWChuNy+FWWN2yDWLD9daq+LkMytwMzIRP01LLYNzzH5pR3jH+BbHOPWs1r1a5pyWuDZ+KqOATLKrOi13ZNYubbFFdwj99qOMdA1OCK+mXElwkDvfnrjzuuPSFFlzDqtxAB5JWbGENGhcc2MK8kuUTbUq8Sa5aZyMIwtLs/R97T6a5J2xwL9Eme+/FF4hmIndux1yzxy8gjFdmR4/XG4xPPQYIbNiADwxgwbuf/6POeNxsDz+tfzbEsEgL6O6yi2a5oNjhfKXPczfX6ZF47wG5svG+B59fESmyrPFf013vadfO++Ms7rgrOj3EfZnK+VvKOR7YYvP89j4XOTvE5p2epbJf+op5diN7ew2vlAiS2Gn77I5wLAQobrtHUbr736CiMUO5n179ET+9iU/Y/u5GeLhuOO5XvYX98eO8XPAb+/fSvF9g84c3L5uFtmKj+87Pcq/H4HYjychRAOALjDiR/H0meohRDiqqD8JIRIIspNQojVsqI9Z0IIIYQQQggh1gc9nAkhhBBCCCFEAtDDmRBCCCGEEEIkgDhCkDUjXQ1ozy/f3DmRiZBNpHiD4O0TvMFvvsAbM2cbWW4AADO9vK36qTxvouyqsCyivejYMwA8k+UyB53zj2e5nZ0RkpG2At+WkOX+KE2weOQGG3PLfDbFG1N78yx8uK7I0pSDXf4waS1y23+W4v58ac/TFEvN+GUey26h2PY81+mpLu7PV83xBmcAaJrlv0H8rO0avs4Mbxy+MTPqlrkwz5t3pxq4TeNFrmfvHAtOAKDcwmOse47vezHL7Rl2+ggAQuDxcL7Km8MbwyTFBqZYYgMAJy+R21SjzBmbjCtpRtxTo47z5AiecCHtHFdxpBKALwopu2UyUWIIr55w5B8eUfIOT4rhHRo3tkQ8yYhLRKFeP5vTqLiSj6i4589wJSFR4pKYVg3vfrj3FyuRf8QvM7ZYJ3Yw+lqbnUy5iu7J5SKIp3K+Xj/XysKHNxV4vpqe2kaxI+aLuk7s4vN/cJqlGv0lzgU75jsoBgD/I8336hU8NeH+CywEuWPQn0OH5lhWgW4+f+xhrud7tvtz6NdyLJibPckCjLdt4fvxyewFt8yhC9z2+47w/P+RX+c5eP6oLz77foHXTnunOOv92FmzfjT49Vx4igUv703xmnuv8Vr0vbf56/BT55opNj/EfXfsCPfRNRFrp8YtnA+6x1icUhnkdfBOcH0A4J5reIz83Tgf21Q9SbGbZ/zZ5tuzZ5b9Pl/x7yWgd86EEEIIIYQQIhHo4UwIIYQQQgghEoAezoQQQgghhBAiAejhTAghhBBCCCESwIYKQSqZgMme5YKDnjmWZwDAznO8wXC0jze6HuvgbwyfL/qbhXumeINhW8cJihWnedNgm/nfyj6R5g2C5wN/q3uuzBttmyv+5uVTLVzmsLE85OwwbyAtL/AGTgBoS/NG2XKRn80nHYHFUN7fJDxb4WP7trFk5PZTfO2/6+DNyABwW56lHNPGbXr11BE+OeXf9wd29VFs8CKLNtoD13MyzfcSAE5s53HXaVz3wcDj+0Q3j20AyE7yJtJ8C8dyea77QsSm1kIrj7G9c09R7HCV++jHW4cpBgC/8fT5Zb83V2KrFhJNXJVAhIfhivCECylP/hHzOCBKYBGzQhGNTDkiBl/Y4ISiOs49Np4kJApvRPrVjGnfiAh78o+UY8Xw7hsAeC6XuPKPVKRgJV6ZcYUcV1xAlAzFOzTm+Z6MBABC5CDb3BQzFRzrWT633u6IoQDgZSd6KXZwkGVq36zyvH7mnC8pu7XMS8WhnacpNn2yn2KD2YtumU+VuMyfTrNEYsip5/a8L0P5cYZf+f8gzW0/eTtf5xujfj2fN8wylJwjwDh4kdvzig5fqnV2mtdOt+/lur/7/BmKfbjVn5f/IMdt+tkYC8E+0sXr6KaqP5b+rdP2W53l4PbFcYo9xN0OAHjseh6fQ4snKPbqLr7HP+r0JSM9Y6y1yvRyjti+wPdjJsJUNdXKDf1A9hjFPjPPYpyPDfjr20/OLH8NP2DR74/pnTMhhBBCCCGESAB6OBNCCCGEEEKIBKCHMyGEEEIIIYRIAHo4E0IIIYQQQogEsKFCkGw54Lqp5TKD8a4G99j5Bt7Ym0lzrC/PmygLKf9bxE828ca95lkusyvFm2I7i/63x6cvsoihuZN3Qo5XuihWLvtlhkbetDha3EqxPTZKsd5xf8Pk0wPcz9/o206xnfO8sbMr+Pdod55lF7c8wxszn+5l2UTKbzpGG/j8sSxLOW4xlnccyfnyjpeOc5uONPNYOJ/hzcx58/uzc8zbIM+bhMvgvqs6m5YBoK3Agpft8yyiGUvzhtrxLAtKACA7w2PxSMXZUJzia9854u/oPTiwXJgzn9nQNLJhrMBfEVsSEiW18M6PKwnxjos61vMluJKRiIqW48om4ns2okUhlx4XMwbE70/z+iiiQl7YlX84m7y945auxbG48g9P+AIAaadQT1xiznGuICXq2CsQj0QRdyxFdOcKr7Z56EQavxmWz1lPtPj5ebSHxRa5Jp7H7nDmq+5+lkUAwE8Dr3P6jrOoa2sDr72ur7LACgAwyrKJa2/hhcEjY4MUuzjmt32xkaVcBy/yOud9A7x+uO08r7EA4L9VL1DsQwUWejy/NEKxG6v+muTNXdzOwiN83FdfyHUvnfbldD+q8nrscD+vvd59Da+xvlTyX/f/rsS57MsLfD+fabmeYpOOcA4A2g9x/aecJXtpO0s1CuWTbpndFx1pnHE9j7Xwuu+HU35/Fh5ncdpnB27merYsUux9Lf6a6Ms7lo+xqUZ/bQ3onTMhhBBCCCGESAR6OBNCCCGEEEKIBKCHMyGEEEIIIYRIAJd9ODOzJjN72MweN7MnzezDtfhfmtmzZra/9rNn/asrhBBLKDcJIZKK8pMQYrXE2clfBHBPCGHOzBoA/MTMvlP7f38cQvjK+lVPCCEiUW4SQiQV5SchxKq47MNZCCEA+KW+sKH2syolkgForC63wo0X2RgEAM2NbEDpv8iXvZBj88yuom/yOZ9hM8pAcYFi6cBvKJ4PPRQDgNDKlrusI+MrO+9RViq+tS/txIcXpvg4sIHpp0NsowGA/iobnN4wf5Bi05NsLEqn/dtdbOR6phq5P/+2me2Az8v796h/ns+vdnHb9zWxsbB10e/PhxvY9jTg2DdHmtnAtHOC6wMA4318Q7eWeMzmJ9nW1D7HNk4AWOhkg9Sz1Q6KzabYnDXSxDEAuGGeLUwdjo30YootXWeNTU8AsNXGlv2egd+e9WYtc5NbfkTc81pdicFxJefHNTgulRmvBp6x0DMGAr5Nzzs27nFRxL+JfqFeJnDb6Z2/grZ7ZsZ04KtXIj6k4tXJ7zuulGdlXKpTvGPj2isBfyz5tscrwz1/kwoY1zI/pQF0XGKrfvSYP9/19XE+fkGB56GDzTwPvKnftxPvP8fz9W6nKTlnbnpsbsAts9jFir7BPMdK6VY+9yKvZwAg1cF1elGZbYvZGe6PD3Xy/A0At7AIEF8cZivkgQM7KJae5jkdAMa7uD/TLbyW/TcneYn+2iz3BwDcUuG2tw5wf/7HGT5usOLnpw+f4PXPnb28Zj/krD/unPItnSM38NrtRc1sMz++n9fr23P+WMpveZZi3005a6dWHt+Hqv5L8jd3vphit7bzuvHBscMU+9+TbNkEgFdcv/w1l7UIbTli7jkzs7SZ7QcwBuCBEMJDtf/1783sgJl9wsycISyEEOuHcpMQIqkoPwkhVkOsh7MQQiWEsAfAMIC7zOwWAB8AcAOAOwF0A/hX3rlm9k4z22dm++YK/ndoCCHEalir3JTPKzcJIdaWtcpPF5WfhPiVYkW2xhDCNIAHAdwbQhgJSxQBfA7AXRHn3BdC2BtC2Jtr8d+OFUKIK+FKc1Nrq3KTEGJ9uNL81KH8JMSvFHFsjX1m1ln7dzOAVwJ4yswGazED8AYAT6xnRYUQ4rkoNwkhkorykxBitcSxNQ4CuN/M0lh6mPtSCOFbZvYjM+vD0vbp/QDedbmCipbCsYblfwF62SjLHgBgtoU36bUv8ubESiNLHBby/l+ZUqGFY5kCxY5keXPibYv+BtSCIxlZyPAzb0sjt7My78s7sMD1T4VRiu27xvmo+jwLSgDgYWMpxq2T3Hdt7Y6oY4b7DQCKC3z+o9t4s2jrIn8kIwdfCNKe4U25s7O8sXOqyblOyR9LmU6O54vcdzsvemOBN68CQOsCj8WmwHWf2sIbh6cyvgTn+lEeS6Uib2BdbOFrmyPGAYDQz22fm+KXfU8jbyK3Im8mBoCGS/rOwkrUF2vKmuUmj6hWxZV3eN3iyR6iiH2dFalHPOIqTvw2eYde+ZDgAlZiUnBlKo4ow7sfEZ4Nt00p52BP/hElbfGVDown33BlJhF1iiv/iBpL/rHeccwm9XmsBWuWnyZLZXz+zOSy2Mdy/vrh5DzPY1uK5yg2l2GJw/HjTW6Z6QWeszqGeH749gLPV7+T4/oAwFSG5+DZLM9jwz2TFLsw2e+W2QEWfaTCWYr9lx6el6sXfanWpyZ5vnzzBK99rtnG8o+FU36ZE85S5evXcNvbJ3md1B180caN3dz20yNc9/Ecr6fapnl9CQCtwyyNudDA65S757lOX5/2s9vACR437exSwdxuvu9nK/7a/m0LOyk2NsbX3189SbFKny/Bydw0S7FDz/A66XXP30axB3/ht723ulyylgnRj2BxbI0HANzhxO+53LlCCLFeKDcJIZKK8pMQYrWsaM+ZEEIIIYQQQoj1QQ9nQgghhBBCCJEA9HAmhBBCCCGEEAnAQtTu5/W4mNk4gF/uyOsFwF/dvnlRe5JPvbUpKe3ZEULou/xhyUW5adNRb21Se9aPespPSerXtaLe2lRv7QHqr01JaU9kbtrQh7NlFzbbF0LYe1Uuvg6oPcmn3tpUb+1JCvXWr/XWHqD+2qT2iDjUY7/WW5vqrT1A/bVpM7RHH2sUQgghhBBCiASghzMhhBBCCCGESABX8+Hsvqt47fVA7Uk+9damemtPUqi3fq239gD11ya1R8ShHvu13tpUb+0B6q9NiW/PVdtzJoQQQgghhBDi/6OPNQohhBBCCCFEAtjwhzMzu9fMnjazo2b2Jxt9/bXAzP7CzMbM7InnxLrN7AEzO1L7b9fVrONKMLNtZvagmR0ysyfN7H21+KZsk5k1mdnDZvZ4rT0frsWvMbOHamPvi2bWeLXruhLMLG1mj5nZt2q/b+r2JA3lpuRRb7kJUH4Sq0P5KXnUW35SbkoOG/pwZmZpAP8VwKsB3ATgt83spo2swxrxlwDuvST2JwB+GELYDeCHtd83C2UA7w8h3ATgRQDeU7svm7VNRQD3hBBuB7AHwL1m9iIAfwrgEyGE6wBMAXjHVazjangfgMPP+X2ztycxKDcllnrLTYDyk1ghyk+Jpd7yk3JTQtjod87uAnA0hHA8hLAI4AsAXr/BdbhiQgj/B8DkJeHXA7i/9u/7AbxhQyt1BYQQRkIIv6j9exZLg3gIm7RNYYm52q8NtZ8A4B4AX6nFN017AMDMhgG8FsBnar8bNnF7EohyUwKpt9wEKD+JVaH8lEDqLT8pNyWHjX44GwJw+jm/n6nF6oGBEMJI7d/nAQxczcqsFjPbCeAOAA9hE7ep9jb2fgBjAB4AcAzAdAihXDtks429PwPwLwFUa7/3YHO3J2koNyWceslNgPKTWDHKTwmnXvKTclMykBBkHQhLCsxNp8E0sxyArwL4wxDCzHP/32ZrUwihEkLYA2AYS391vOEqV2nVmNlvABgLITx6tesiNjeb7XX8S+opNwHKT0J4bMbXMlBf+Um5KRlkNvh6ZwFse87vw7VYPTBqZoMhhBEzG8TSXx02DWbWgKXk8vkQwtdq4U3dJgAIIUyb2YMA7gbQaWaZ2l9MNtPYezGA15nZawA0AWgH8J+xeduTRJSbEkq95iZA+UnERvkpodRrflJuurps9DtnjwDYXTOlNAJ4C4BvbnAd1otvAnh77d9vB/CNq1iXFVH7DO5nARwOIXz8Of9rU7bJzPrMrLP272YAr8TSZ8EfBPBbtcM2TXtCCB8IIQyHEHZi6TXzoxDCP8EmbU9CUW5KIPWWmwDlJ7EqlJ8SSL3lJ+WmBBFC2NAfAK8B8AyWPsf6rzf6+mvUhr8CMAKghKXPq74DS59j/SGAIwB+AKD7atdzBe15CZbedj8AYH/t5zWbtU0AbgPwWK09TwD4UC2+C8DDAI4C+DKA7NWu6yra9nIA36qX9iTpR7kpeT/1lptqbVJ+0s9q+lb5KWE/9ZaflJuS82O1igohhBBCCCGEuIpICCKEEEIIIYQQCUAPZ0IIIYQQQgiRAPRwJoQQQgghhBAJQA9nQgghhBBCCJEA9HAmhBBCCCGEEAlAD2dCCCGEEEIIkQD0cCaEEEIIIYQQCUAPZ0IIIYQQQgiRAP4vKU7S1RWg+6gAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Load the model and calculate the residual\n", + "model = blend.get_model()\n", + "model_ = observation.render(model) # adapt model to observations. \n", + "residual = images-model_\n", + "\n", + "# Create RGB images\n", + "model_rgb = scarlet.display.img_to_rgb(model_, norm=norm)\n", + "residual_rgb = scarlet.display.img_to_rgb(residual)\n", + "\n", + "# Show the data, model, and residual\n", + "fig = plt.figure(figsize=(15,5))\n", + "ax = [fig.add_subplot(1,3,n+1) for n in range(3)]\n", + "ax[0].imshow(img_rgb)\n", + "ax[0].set_title(\"Data\")\n", + "ax[1].imshow(model_rgb)\n", + "ax[1].set_title(\"Model\")\n", + "ax[2].imshow(residual_rgb)\n", + "ax[2].set_title(\"Residual\")\n", + "\n", + "for k,component in enumerate(blend):\n", + " y,x = component.center\n", + " ax[0].text(x, y, k, color=\"w\")\n", + " ax[1].text(x, y, k, color=\"w\")\n", + " ax[2].text(x, y, k, color=\"w\")\n", + "plt.show()" ] }, { @@ -396,11 +502,28 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 149, + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true + } + }, + "outputs": [ + { + "ename": "ImportError", + "evalue": "cannot import name 'update' from 'scarlet' (/opt/lsst/software/stack/stack/miniconda3-4.7.12-1a1d771/Linux64/scarlet/lsst-dev-g516ae2b0c8/lib/python/scarlet-1.0-py3.7-linux-x86_64.egg/scarlet/__init__.py)", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mscarlet\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmeasure\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mupdate\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mclass\u001b[0m \u001b[0mMySource\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscarlet\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mExtendedSource\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \"\"\"Default update parameters for a PointSource\n", + "\u001b[0;31mImportError\u001b[0m: cannot import name 'update' from 'scarlet' (/opt/lsst/software/stack/stack/miniconda3-4.7.12-1a1d771/Linux64/scarlet/lsst-dev-g516ae2b0c8/lib/python/scarlet-1.0-py3.7-linux-x86_64.egg/scarlet/__init__.py)" + ] + } + ], "source": [ - "from scarlet import measurement, update\n", + "from scarlet import measure\n", "\n", "class MySource(scarlet.ExtendedSource):\n", " def update(self):\n", @@ -416,15 +539,14 @@ " it = self._parent.it\n", "\n", " # Update the central pixel location (pixel_center)\n", - " self.pixel_center = measurement.max_pixel(self.morph, self.pixel_center)\n", + " self.pixel_center = measure.max_pixel(self.morph, self.pixel_center)\n", "\n", " if self.symmetric:\n", " # Update the centroid position every 5th iteration\n", " if it % 5 == 0:\n", - " self.pixel_center, self.shift = measurement.psf_weighted_centroid(self.morph,\n", + " self.pixel_center, self.shift = measure.psf_weighted_centroid(self.morph,\n", " self._centroid_weight,\n", " self.pixel_center)\n", - "\n", " # make the morphology perfectly symmetric\n", " update.symmetric(self, algorithm=\"kspace\")\n", "\n", @@ -452,12 +574,31 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 148, + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true + } + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'MySource' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0moffset\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrand\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0msources\u001b[0m \u001b[0;34m=\u001b[0m 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iterations\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mblend\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mit\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0moffset\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrand\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0msources\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mMySource\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mframe\u001b[0m\u001b[0;34m,\u001b[0m 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iterations\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mblend\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mit\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'MySource' is not defined" + ] + } + ], "source": [ "offset = np.random.rand(len(peaks), 2)/2\n", - "sources = [MySource(frame, (peak[1]+offset[k][0], peak[0]+offset[k][1]), observation, bg_rms) for k, peak in enumerate(peaks)]\n", + "sources = [MySource(frame, (peak[1]+offset[k][0], peak[0]+offset[k][1]), observation, bg_rms) \n", + " for k, peak in enumerate(peaks)]\n", "blend = scarlet.Blend(sources, observation)\n", "blend.fit(100, e_rel=1e-3)\n", "print(\"Deblending completed in {0} iterations\".format(blend.it))\n", @@ -473,6 +614,13 @@ "\n", "* Modify `MySource` to create a source that has multiple components. You might want to take a look at [MultiComponentSource](https://github.com/fred3m/scarlet/blob/master/scarlet/source.py#L478) to get an understanding about how to do this, but try your own initialization function." ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -491,9 +639,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.2" + "version": "3.7.6" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } From bce8ad6dc80bb7b12901add988f01f83df9c89b0 Mon Sep 17 00:00:00 2001 From: ismael2395 Date: Fri, 10 Jul 2020 16:27:40 +0000 Subject: [PATCH 2/2] added comment on e_rel, remove dimages, removed constraint old code --- Deblending/scarlet_tutorial.ipynb | 284 +++--------------------------- 1 file changed, 21 insertions(+), 263 deletions(-) diff --git a/Deblending/scarlet_tutorial.ipynb b/Deblending/scarlet_tutorial.ipynb index 78746292..34d51bf2 100644 --- a/Deblending/scarlet_tutorial.ipynb +++ b/Deblending/scarlet_tutorial.ipynb @@ -27,18 +27,9 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "nb-imendoza-w-2020-24\n", - "lsst_distrib 19.0.0-1-gc154f85+75 \tcurrent w_2020_24 setup\n" - ] - } - ], + "outputs": [], "source": [ "# What version of the Stack are we using?\n", "! echo $HOSTNAME\n", @@ -47,7 +38,7 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -79,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 145, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -133,29 +124,9 @@ }, { "cell_type": "code", - "execution_count": 111, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Background RMS: [0.04287751 0.06435928 0.10105371 0.17749543 0.18650883]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Load the sample images\n", "idx = 53\n", @@ -201,22 +172,9 @@ }, { "cell_type": "code", - "execution_count": 144, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "sources = [scarlet.ExtendedSource(frame, (peak[1], peak[0]), observation) for peak in peaks]\n", "\n", @@ -332,7 +277,7 @@ }, { "cell_type": "code", - "execution_count": 115, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -348,41 +293,9 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 374 ms, sys: 2.04 ms, total: 376 ms\n", - "Wall time: 375 ms\n", - "scarlet ran for 37 iterations to logL = 7726.973798470312\n" - ] - }, - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'log-Likelihood')" - ] - }, - "execution_count": 116, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Fit the data until the relative error is <= 1e-3,\n", "# for a maximum of 200 iterations\n", @@ -403,22 +316,9 @@ }, { "cell_type": "code", - "execution_count": 140, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Load the model and calculate the residual\n", "model = blend.get_model()\n", @@ -488,139 +375,10 @@ "source": [ "## Exercises\n", "\n", - "* Experiment by running the above code using different source models (for example `ExtendedSource`) to see how initializtion affects the belnding results." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Update Functions\n", + "* Experiment by running the above code using different source models (for example `MultiComponentSource` or `PointSource`) to see how initializtion affects the belnding results.\n", "\n", - "The above models used the default constraints: perfect symmetry and a weighted monotonicity that decreases from the peak. So each source is created with the update function, equivalent to the following:" - ] - }, - { - "cell_type": "code", - "execution_count": 149, - "metadata": { - "collapsed": true, - "jupyter": { - "outputs_hidden": true - } - }, - "outputs": [ - { - "ename": "ImportError", - "evalue": "cannot import name 'update' from 'scarlet' (/opt/lsst/software/stack/stack/miniconda3-4.7.12-1a1d771/Linux64/scarlet/lsst-dev-g516ae2b0c8/lib/python/scarlet-1.0-py3.7-linux-x86_64.egg/scarlet/__init__.py)", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mscarlet\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmeasure\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mupdate\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mclass\u001b[0m \u001b[0mMySource\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mscarlet\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mExtendedSource\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \"\"\"Default update parameters for a PointSource\n", - "\u001b[0;31mImportError\u001b[0m: cannot import name 'update' from 'scarlet' (/opt/lsst/software/stack/stack/miniconda3-4.7.12-1a1d771/Linux64/scarlet/lsst-dev-g516ae2b0c8/lib/python/scarlet-1.0-py3.7-linux-x86_64.egg/scarlet/__init__.py)" - ] - } - ], - "source": [ - "from scarlet import measure\n", - "\n", - "class MySource(scarlet.ExtendedSource):\n", - " def update(self):\n", - " \"\"\"Default update parameters for a PointSource\n", - " This method can be overwritten if a different set of constraints\n", - " or update functions is desired.\n", - " \"\"\"\n", - " # Keep track of the iteration so we can skip certain updates\n", - " # based on the iteration number\n", - " if self._parent is None:\n", - " it = 0\n", - " else:\n", - " it = self._parent.it\n", - "\n", - " # Update the central pixel location (pixel_center)\n", - " self.pixel_center = measure.max_pixel(self.morph, self.pixel_center)\n", - "\n", - " if self.symmetric:\n", - " # Update the centroid position every 5th iteration\n", - " if it % 5 == 0:\n", - " self.pixel_center, self.shift = measure.psf_weighted_centroid(self.morph,\n", - " self._centroid_weight,\n", - " self.pixel_center)\n", - " # make the morphology perfectly symmetric\n", - " update.symmetric(self, algorithm=\"kspace\")\n", - "\n", - " if self.monotonic:\n", - " # make the morphology monotonically decreasing\n", - " update.monotonic(self, self.pixel_center)\n", - "\n", - " update.positive(self) # Make the SED and morph non-negative\n", - " update.normalized(self) # Use MORPH_MAX normalization\n", - " return self" + "* Change the value of `e_rel` in the above fit and try to understand how it affects the results. " ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Exercises\n", - "\n", - "In the code above modify the `MySource.update` method to use different constraints and run the code block following this cell for the following:\n", - "\n", - "* Add the keyword argument `use_nearest=True` to `update.monotonic` and see how that affects the results.\n", - "\n", - "* Comment out the lines that set `self.pixel_center` so that positions are not updated and see how that changes the results." - ] - }, - { - "cell_type": "code", - "execution_count": 148, - "metadata": { - "collapsed": true, - "jupyter": { - "outputs_hidden": true - } - }, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'MySource' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0moffset\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrand\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0msources\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mMySource\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mframe\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mpeak\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0moffset\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpeak\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0moffset\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobservation\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbg_rms\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpeak\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mblend\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mscarlet\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mBlend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msources\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobservation\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mblend\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me_rel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1e-3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Deblending completed in {0} iterations\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mblend\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mit\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0moffset\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrand\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0msources\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mMySource\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mframe\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mpeak\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0moffset\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpeak\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0moffset\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobservation\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbg_rms\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpeak\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpeaks\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mblend\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mscarlet\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mBlend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msources\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mobservation\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mblend\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me_rel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1e-3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Deblending completed in {0} iterations\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mblend\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mit\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'MySource' is not defined" - ] - } - ], - "source": [ - "offset = np.random.rand(len(peaks), 2)/2\n", - "sources = [MySource(frame, (peak[1]+offset[k][0], peak[0]+offset[k][1]), observation, bg_rms) \n", - " for k, peak in enumerate(peaks)]\n", - "blend = scarlet.Blend(sources, observation)\n", - "blend.fit(100, e_rel=1e-3)\n", - "print(\"Deblending completed in {0} iterations\".format(blend.it))\n", - "display_model_residual(images, blend, peaks, norm)\n", - "display_sources(sources, observation, norm)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Extra Credit\n", - "\n", - "* Modify `MySource` to create a source that has multiple components. You might want to take a look at [MultiComponentSource](https://github.com/fred3m/scarlet/blob/master/scarlet/source.py#L478) to get an understanding about how to do this, but try your own initialization function." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": {