From ebade41e26612e49b008f0e527cb6ba7646383a7 Mon Sep 17 00:00:00 2001 From: Ismael Mendoza Date: Fri, 11 Aug 2023 15:52:41 -0400 Subject: [PATCH 1/2] change? --- notebooks/00-quickstart.ipynb | 503 ++-------------------------------- 1 file changed, 26 insertions(+), 477 deletions(-) diff --git a/notebooks/00-quickstart.ipynb b/notebooks/00-quickstart.ipynb index a76fa3d3..c3966023 100644 --- a/notebooks/00-quickstart.ipynb +++ b/notebooks/00-quickstart.ipynb @@ -86,38 +86,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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galtileidradecredshiftfluxnorm_bulgefluxnorm_diskfluxnorm_agna_ba_db_bb_dpa_bulgepa_disku_abg_abr_abi_abz_aby_ab
int64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64
22008714460.418319702147-0.0001483999949410.4963772892950.01.4144730572e-170.00.00.2786496877670.00.2213030010460.0307.34432983425.941862106325.12974357623.958881378223.360736846923.072380065922.9095973969
22059211120.420028448104-0.001002599950881.895081043240.01.91501907101e-180.00.00.3580636978150.00.3136748075490.0137.79170227125.84890365625.86756515525.917947769225.985139846825.877956390425.7642536163
22050108780.423432350157-0.003129699965941.937950134280.02.15612608955e-180.00.00.4442799091340.00.4246891140940.0233.97242736825.565765380925.565958023125.616596221925.695789337225.628152847325.5399188995
22087346770.42108619213-7.25999998394e-051.162517547610.01.74001598433e-180.00.00.3128525912760.00.1809623986480.0217.51712036127.315925598127.416763305727.05182075526.673763275125.938072204625.6458129883
22122418810.423181056976-0.002181099960581.354799032210.01.11031595423e-180.00.00.4143165051940.00.2055542021990.0226.52384948727.332593917827.447002410927.328252792427.068037033126.741949081426.1817016602
" - ], - "text/plain": [ - "\n", - "galtileid ra dec ... z_ab y_ab \n", - " int64 float64 float64 ... float64 float64 \n", - "---------- -------------- ------------------ ... ------------- -------------\n", - "2200871446 0.418319702147 -0.000148399994941 ... 23.0723800659 22.9095973969\n", - "2205921112 0.420028448104 -0.00100259995088 ... 25.8779563904 25.7642536163\n", - "2205010878 0.423432350157 -0.00312969996594 ... 25.6281528473 25.5399188995\n", - "2208734677 0.42108619213 -7.25999998394e-05 ... 25.9380722046 25.6458129883\n", - "2212241881 0.423181056976 -0.00218109996058 ... 26.7419490814 26.1817016602" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "catalog_name = \"../data/input_catalog.fits\" # contains ~85k entries\n", "catalog = btk.catalog.CatsimCatalog.from_file(catalog_name)\n", @@ -167,34 +136,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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galtileidradecredshiftfluxnorm_bulgefluxnorm_diskfluxnorm_agna_ba_db_bb_dpa_bulgepa_disku_abg_abr_abi_abz_aby_ab
int64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64
2202909702-0.91805295212761060.82551115455544340.7610309123994.06549706794e-195.27902696464e-180.00.07502409815790.3977352082730.06381899863480.216169804335200.800704956200.80070495629.099554061927.488868713426.016326904324.909793853824.422931671124.1450653076
2201745447-0.96694472894294180.213271551534359730.6548364162450.01.24359896663e-170.00.00.4163058102130.00.1659854054450.0292.25463867226.019306182925.449651718124.661949157724.015169143723.813411712623.6444950104
22026733640.62654047840054480.45899312196799683.776110410692.00413105746e-198.22251288186e-190.00.2742209136490.8513473868370.1821160018440.80575531721185.749946594285.749946594231.385961532625.52879905724.924488067624.968450546325.011775970525.0565166473
" - ], - "text/plain": [ - "\n", - "galtileid ra ... z_ab y_ab \n", - " int64 float64 ... float64 float64 \n", - "---------- ------------------- ... ------------- -------------\n", - "2202909702 -0.9180529521276106 ... 24.4229316711 24.1450653076\n", - "2201745447 -0.9669447289429418 ... 23.8134117126 23.6444950104\n", - "2202673364 0.6265404784005448 ... 25.0117759705 25.0565166473" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "blend_catalog = sampling_function(catalog.table)\n", "blend_catalog # ra and dec are now relative to the center of the blend (not the original ones)" @@ -235,24 +177,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "--------\n", - "| LSST | Legacy Survey of Space and Time (LSST) done with the Simonyi survey telescope and the LSST camera\n", - "--------\n", - " pixel_scale = 0.2 arcsec\n", - " mirror_diameter = 8.36 m\n", - " gain = 1.0 electron / adu\n", - " obscuration = 0.39257227\n", - " zeropoint_airmass = 1.2\n", - " available_filters = ['u', 'g', 'r', 'i', 'z', 'y']\n", - " effective_area = 33.342414830068996 m2\n" - ] - } - ], + "outputs": [], "source": [ "print(LSST)" ] @@ -304,18 +229,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(100, 6, 120, 120)" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "blend_batch.blend_images.shape \n", "# shape = (batch_size, n_bands, stamp_size, stamp_size)" @@ -333,34 +247,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
Table length=3\n", - "
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galtileidradecredshiftfluxnorm_bulgefluxnorm_diskfluxnorm_agna_ba_db_bb_dpa_bulgepa_disku_abg_abr_abi_abz_aby_abx_peaky_peakbtk_rotationnot_drawn_unot_drawn_gnot_drawn_rnot_drawn_inot_drawn_znot_drawn_y
int64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64float64
22020089550.87014484757553650.71480855317513870.7559062838550.07.038753629e-180.00.00.1634656041860.00.07195229828360.048.224197387725.494171142625.225288391124.943883895924.408843994124.324386596724.251682281563.85072423796563.074042766061570.00.00.00.00.00.00.0
22025077450.6317071082430643-0.93282884938907132.46370553971.55925897761e-191.63737507123e-170.00.1868481934071.236122012140.141891703010.502072393894260.442321777260.44232177725.583658218424.661598205624.491571426424.734086990424.484580993724.256404876762.6585355413155154.8358557527715360.00.00.00.00.00.00.0
2202873263-0.99452299965970380.459310892859888131.084472537046.35359289658e-181.37940399067e-170.00.1981572061780.3308346867560.1846505999570.0756987035275269.211517334269.21151733426.963850021426.907688140925.745069503824.956430435224.080081939723.575485229554.5273850014022261.796554464398990.00.00.00.00.00.00.0
" - ], - "text/plain": [ - "\n", - "galtileid ra dec ... not_drawn_z not_drawn_y\n", - " int64 float64 float64 ... float64 float64 \n", - "---------- ------------------- ------------------- ... ----------- -----------\n", - "2202008955 0.8701448475755365 0.7148085531751387 ... 0.0 0.0\n", - "2202507745 0.6317071082430643 -0.9328288493890713 ... 0.0 0.0\n", - "2202873263 -0.9945229996597038 0.45931089285988813 ... 0.0 0.0" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "blend_batch.catalog_list[0] \n", "# blend_list is a list of astropy tables, one for each blend in the batch." @@ -378,23 +265,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "BlendBatch(survey_name=LSST, \n", - "\t blend_images: np.ndarray, shape [100, 6, 120, 120]\n", - "\t isolated_images: np.ndarray, shape [100, 3, 6, 120, 120]\n", - "\t catalog_list: list of , size 100\n", - "\t psfs: list of , size 6\n", - "\t wcs: )" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "blend_batch" ] @@ -411,28 +282,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "\n", @@ -455,28 +305,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "from astropy.visualization import make_lupton_rgb\n", "\n", @@ -500,28 +329,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "from btk.plotting import get_rgb\n", "\n", @@ -599,19 +407,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "DeblendExample(max_n_sources = 3, n_bands = 1, image_size = 120), \n", - " containing: \n", - "\tcatalog: \n", - "\tsegmentation: , shape [3, 120, 120]\n", - "\tdeblended_images: , shape [3, 1, 120, 120]\n" - ] - } - ], + "outputs": [], "source": [ "print(output)" ] @@ -620,32 +416,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
Table length=2\n", - "
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radec
float64float64
0.5341353877472973-1.0523902083800802
0.8667814485695190.6445682006963833
" - ], - "text/plain": [ - "\n", - " ra dec \n", - " float64 float64 \n", - "------------------ -------------------\n", - "0.5341353877472973 -1.0523902083800802\n", - " 0.866781448569519 0.6445682006963833" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "output.catalog" ] @@ -679,32 +450,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
Table length=2\n", - "
\n", - "\n", - "\n", - "\n", - "\n", - "
radec
float64float64
0.5341353877472973-1.0523902083800802
0.8667814485695190.6445682006963833
" - ], - "text/plain": [ - "\n", - " ra dec \n", - " float64 float64 \n", - "------------------ -------------------\n", - "0.5341353877472973 -1.0523902083800802\n", - " 0.866781448569519 0.6445682006963833" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "deblend_batch.catalog_list[0] # predicted catalog for the first blend in the batch" ] @@ -720,28 +466,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "\n", @@ -772,28 +497,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# plot isolated images from truth \n", "fig, axes = plt.subplots(2, 3, figsize=(12, 8))\n", @@ -870,18 +574,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['ra', 'dec']" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "deblend_batch.catalog_list[0].colnames # no x_peak, y_peak" ] @@ -890,18 +583,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['ra', 'dec', 'x_peak', 'y_peak']" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from btk.utils import add_pixel_columns\n", "wcs = blend_batch.wcs\n", @@ -932,23 +614,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([0, 1]),\n", - " array([1, 0]),\n", - " 3,\n", - " 2,\n", - " array([ True, True, False]),\n", - " array([ True, True]))" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "(matching.true_matches[0], # index of each true source that is matched with predicted \n", " matching.pred_matches[0], #index of each pred source that is matched with truth\n", @@ -981,18 +647,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1.2027473872379888" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# now compute distances on each catalog and average\n", "dist = [] # list of distances between matched objects\n", @@ -1061,18 +716,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.41" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "detected = matching.detected\n", "matched = matching.matched\n", @@ -1111,15 +755,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 10/10 [01:03<00:00, 6.32s/it]\n" - ] - } - ], + "outputs": [], "source": [ "n_batches = 10\n", "for n in tqdm(range(n_batches)):\n", @@ -1147,15 +783,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.41, 0.44666666666666666, 0.45666666666666667, 0.41, 0.44, 0.43333333333333335, 0.4166666666666667, 0.42333333333333334, 0.44, 0.4, 0.43333333333333335, 0.4066666666666667, 0.42333333333333334]\n" - ] - } - ], + "outputs": [], "source": [ "print(recall.values)" ] @@ -1171,18 +799,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.4261538461538461" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "recall.aggregate()" ] @@ -1221,18 +838,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "107.57849854829969" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "mse(iso_images_matched1, iso_images_matched2) # automatically accounts for empty arrays" ] @@ -1257,18 +863,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(100, 3)" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from galcheat.utilities import mean_sky_level\n", "from btk.measure import get_snr\n", @@ -1291,32 +886,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(array([ 6., 29., 80., 68., 54., 35., 12., 9., 4., 3.]),\n", - " array([ 4.16924785, 10.64395715, 17.11866644, 23.59337573, 30.06808503,\n", - " 36.54279432, 43.01750362, 49.49221291, 55.9669222 , 62.4416315 ,\n", - " 68.91634079]),\n", - " [])" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.hist(snr.flatten(), histtype='step')" ] @@ -1365,28 +935,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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MJITA9hPXMXfPWRSX6RDorcSKERHo0bJh9SeTVTHAISIiMkF+cRn++fUZ7E66BQDo07YRlj3XBQ3rc0jKHjHAISIiqsbZW7mYsiURaZkFUMhleL1/O/zj0ZaQc0jKbjHAISIiMkIIgc+PXcOCb86hpEyHIB93rBoZge7N/WxdNaoGAxwiIqJKaIpKMfurM9h3Jh0A0K99AJY+2wUNPN1sXDMyBQMcIiKih5y+kYMpWxJxLbsQLnIZZg1sjxd7t4BMxiEpR8EAh4iI6A9CCGz69Qo+2H8epVqBxr71sHpUBCKaNrB11chMDHCIiIgA5BaW4s2vTuG7sxkAgAEdA7FkWBf4eLjauGZUEwxwiIiozku8dhdTtiTiZs49uCnkeGtQe4zt1ZxDUg6MAQ4REdVZQgh88nMaFsddQJlOoKmfB9aM6oqwJj62rhrVEgMcIiKqk+4WlOD1Hadw8MJtAMDgzkFY+HQYvN05JOUMGOAQEZFD0OoEjqdl43ZeEQK83BHZwq/Gez/9diUbU7cmIj23CG4ucsx5IhSjo5pySMqJMMAhIiK7F5ecjnl7zyE9t0h/LMjHHXOfDEVMpyCTr6PTCaz9KRX/+v4StDqBFv6eWD0qAh2DOSTlbOS2rgAREVFV4pLTMenzBIPgBgDUuUWY9HkC4pLTTbpOVn4xxm86gSVxF6HVCQwJD8beqb0Z3Dgp9uAQEZHd0uoE5u09B1HJewKADMC8vefweKiqyuGqo79n4dVticjQFEPpIsf8IR3xXPcQDkk5MQY4RERkt46nZVfouXmQAJCeW4Tjadno2aphhfe1OoE1P6Zg+Q+XoBNA64D6WDOqK9qpvCSsNdkDBjhERGS3bucZD26qK3c7rwjTtyfhl5QsAMAz3Zpg/pCO8HDjo68u4F0mIiK7FeDlXqNyv6Rk4tVtScjML0Y9VwXeG9oJw7o1kaKKZKcY4BARkd2KbOGHIB93qHOLKp2HIwOg8rmfMg7cH5JacfAyVh26DCGAdoFeWDM6Aq0DOCRV1zCLioiI7JZCLsPcJ0MB3A9mHlT+eu6ToVDIZcjQFGHUuqNYefB+cDMyMgS7p/yVwU0dxQCHiIjsWkynIHz8fFeofAyHoVQ+7vj4+a6I6RSE/126g4ErfsaxtGx4uimwYkQ4Fj7dGe6uChvVmmyNQ1RERGT3YjoF4fFQVYWVjIUQWBx3AR8fTgUAdAjyxppREWjZqL6Na0y2xgCHiIgcgkIuM0gFv5VzD9O2JuK3q3cBAC/0aIZ/Du7AXhsCwACHiIgc0KELGYj94hRyCkvhpXTBomGdMbiz6Vs2kPNjgENERA6jVKvDkrgLWPdzGgAgrLEPVo+KQLOGnjauGdkbBjhEROQQrmcXYurWRCRdzwEAjP9rc8wa2B5KFw5JUUUMcIiIyO59d1aNN3acgqaoDN7uLvjw2S4Y0FFl62qRHbNKmviaNWvQvHlzuLu7IyoqCsePHzdadtOmTZDJZAZf7u6GqYFCCMyZMwdBQUGoV68eoqOjcfnyZambQUREVlZcpsW8vWfxj/93EpqiMoSH+GLftEcY3FC1JA9wtm/fjtjYWMydOxcJCQno0qULBgwYgNu3bxs9x9vbG+np6fqvq1evGry/ZMkSrFy5EmvXrsWxY8fg6emJAQMGoKjItD1LiIjI/l3LKsQzH8dj4y9XAAATHmmBL/7REyF+HratGDkEyQOcZcuWYcKECRg/fjxCQ0Oxdu1aeHh4YMOGDUbPkclkUKlU+q/AwED9e0IILF++HG+//TaGDBmCzp0747PPPsOtW7ewa9cuqZtDRERWsP9MOgav/BlnbubC18MV68d2xz8Hh8LNhevTkmkk/UkpKSnByZMnER0d/ecHyuWIjo5GfHy80fPy8/PRrFkzhISEYMiQITh79qz+vbS0NKjVaoNr+vj4ICoqyug1i4uLodFoDL6IyHq0OoH41CzsTrqJ+NQsaHWV7SpEBBSVavH2rjN4ZXMC8orL0L1ZA+yf9gj6dQis/mSiB0g6yTgzMxNardagBwYAAgMDceHChUrPadeuHTZs2IDOnTsjNzcXS5cuRa9evXD27Fk0adIEarVaf42Hr1n+3sMWLlyIefPmWaBFRGSuuOR0zNt7Dum5fw4hB/m4Y+6ToYjpxHVL6E9pmQWYvDkB59Lv/xH6ymOtMP3xtnBVsNeGzGd3PzU9e/bEmDFjEB4ejj59+mDnzp1o1KgR/vOf/9T4mrNnz0Zubq7+6/r16xasMREZE5ecjkmfJxgENwCgzi3CpM8TEJecbqOa1T323ou2O+kmnlj5M86la+Dn6YZP/x6JN2PaM7ihGpO0B8ff3x8KhQIZGRkGxzMyMqBSmTYD3tXVFREREUhJSQEA/XkZGRkICvrzr7+MjAyEh4dXeg2lUgmlUlmDFhBRTWl1AvP2nkNlj1GB+ztBz9t7Do+HqqCQP7xPNFmSPfeiFZVq8e6es9h24v4fnlEt/LByZAQCvd2rOZOoapKGxm5ubujWrRsOHjyoP6bT6XDw4EH07NnTpGtotVqcOXNGH8y0aNECKpXK4JoajQbHjh0z+ZpEJL3jadkVem4eJACk5xbheFq29SpVB9lzL1rK7TwMWf0Ltp24DpkMmNa3NTa/FMXghixC8oX+YmNjMXbsWHTv3h2RkZFYvnw5CgoKMH78eADAmDFj0LhxYyxcuBAAMH/+fPTo0QOtW7dGTk4OPvzwQ1y9ehUvvfQSgPsZVq+99hree+89tGnTBi1atMA777yD4OBgDB06VOrmEJGJbueZtmyDqeUsQasTFXajdubeI3vuRfvq5A28vSsZ90q18K+vxPLh4ejdxt+qdSDnJnmAM3z4cNy5cwdz5syBWq1GeHg44uLi9JOEr127Brn8z46ku3fvYsKECVCr1WjQoAG6deuGX3/9FaGhofoyb775JgoKCjBx4kTk5OSgd+/eiIuLq7AgIBHZToCXab+PpparLXseppGKOb1oD+7SLaXCkjLM2X0WX568AQD4a+uG+Gh4uNV+DqjukAkh7GummRVoNBr4+PggNzcX3t7etq4OkVPS6gR6Lz4EdW5RpT0IMgAqH3ccmdlX8t6D8mGah+tR/qkfP9/VKYOc3Uk38eq2pGrLrRgRjiHhjSWvz0V1HiZvSUDK7XzIZcBr0W0x+W+tnboXjSzLnOc3p6cTkSQUchnmPnm/5/Xhx1f567lPhkr+cKtumAa4P0xjb1lFlmAvvWhCCGw/cQ1D1hxByu18BHorsWVCD0zr14bBDUmGAQ4RSSamUxA+fr4rVD6GD1CVj7vVek1MHabZ9Eua3aZQ11RkCz8E+bhXCDDLyXB/mC6yhZ9kdcgvLsP07UmY+dUZFJXq8GjbRtg/7RH0aGmdITGqu7ibOBFJKqZTEB4PVdlscq+pk5gX7Duv/39nmZtT3os26fMEyACDXixr9KKdu6XBlC0J+D2zAAq5DDP6t8XLj7aCnL02ZAXswSEiySnkMvRs1RBDwhujZ6uGVh2WqMnwiz2kUFuKLXrRhBD4/OhVDP33L/g9swBBPu7YPrEHXnmsNYMbshr24BCRUysfpjE22bkytk6htjRr9qJpikoxe+cZ7Dt9Pzjs1z4AS5/tggaebhb/LKKqMMAhIqdW1TBNVWyRQm0pxtb7kbodZ27kYsrWBFzNKoSLXIaZMe3x0iMtIJM5doBIjokBDhE5vfJhmofXwTGFNRcitARbrPcjhMCnv17BB/svoESrQ2Pfelg1KgJdmzaQ5POITMEAh4jqhIeHaTLzig0mFhvjSAvQGVvvp3xOkRRzbnILS/HmV6fw3dn7ew72Dw3Eh890gY+Hq0U/h8hcDHCIyCGYs82CsbIPDtNodQKfHEmrdiFCKVOoLckW2zIkXc/BlC0JuHH3HlwVMrw1qAPG9Wpe6yGpuralBkmDAQ4R2T1zhl1MLWvrFGpLs+a2DEIIrD+ShkXfXkCZTqCpnwdWj4pA5ya+tbouUDe31CBpME2ciOyaObthm7tztj0sRGgp1trcNKewBBM++w3v7TuPMp3A4LAgfDOtt8WCG3vd+ZwcD3twiMhumTPsgj/+39whGlsvRGgp1tiW4eTVbEzdkohbuUVwc5HjnSdC8XxUU4tkSdnzzufkmBjgEJHdMmfYBX/8vyllHx6isUYKtdSqW++nNnOKdDqB//z0O5Z+fxFanUALf0+sHhWBjsE+ta53OXvc+ZwcG4eoiMhumTPsYq0hGnsl1eamWfnFGL/pBBbHXYBWJzAkPBh7p/a2aHADWG+IjeoOBjhEZLfMGXaxl52zbcnSc4qO/Z6FQSt/xv8u3YHSRY5FT4dh+fBw1FdavvOf948sjUNURGQVNUn9NXfYRaohGkdiiTlFWp3Av39MwUc/XIJOAK0aeWLN6K5or/KWrN5SDrFR3cQAh4gkV9PUX3NTuZ0p7bs2ajOn6E5eMaZvT8KRlEwAwLCuTbBgaEd4uEn7uHC2tH2yPZkQwtStWZyGRqOBj48PcnNz4e0t3V8kRGR8dd3yx5QpQydSrINTG866EN2vKZmYti0JmfnFqOeqwIKhnfBMtyZWrQPXwaGqmPP8ZoDDAIdIMlqdQO/Fh4xmx5QPOxyZ2bfaAMESKxlbgjM+gLU6gRUHL2PVocsQAmgX6IXVoyLQJtDLZvVxxgCSas+c5zeHqIhIMpZM/bWHVG5b7PUktQxNEV7dloijv99PtR/xlxDMfbIj6rkpbFYne7jX5PgY4BCRZGyR+itVD4szLkT306U7mL49CVkFJfB0U+CDp8MwJLyxratFZBFMEyciyVg79VfKpf7NXXTQnpVpdVgSdwFjNhxHVkEJOgR5Y+/U3gxuyKkwwCEiyZSn/hrrz5Dhfu+KJVJ/q+thAe73sGh1NZt26CwL0aXn3sPIdUfx78OpAIDnezTF16/0QstG9W1cMyLLYoBDRJKRanXdykjdw+IMC9EdupCBQSt+xokrd1Ff6YLVoyLw3tAwuLvabr4NkVQY4BA5GK1OID41C7uTbiI+NavGPRLWYq0du6XuYbFmb5SllWp1+GD/efx902+4W1iKsMY+2DetN57oHGzrqhFJhpOMiRyIo6YoW2PHbql7WBx1IbobdwsxdWsiEq/lAADG9WqO2YPaQ+nCXhtyblwHh+vgkIOwxIJ5zqx8zZ3qlvo3Zc2dqjhSkPn9WTVe33EKmqIyeLu7YMkzXRDTSWXrahHVGBf6qwYDHHI0llwwz5mVB4FAxR4WAWB6dBs09/esdQ+SvS9EV1Kmw8Jvz2PjL1cAAF1CfLF6ZARC/DxsWzEJ2Pu9IMviQn9ETsaSC+Y5s/L5Pg/3sPh4uAIAPvrhsv5YbXpd7HkhumtZhZiyNQGnb+QCACY80gJvDGgPNxfnm3LpSL1pZH0McIgcgLOkKFvDw/N9rmQWYvkPl5xq9WFj9p9Jx8wvTyOvuAy+Hq5Y+kwXRIcG2rpaknDGVaXJspwvpCdyQs6QomxN5T0sT3QOxrYT1yRbG8deFJVq8c6uZLyyOQF5xWXo1qwB9k97xGmDG6nXPCLnYJUAZ82aNWjevDnc3d0RFRWF48ePGy27bt06PPLII2jQoAEaNGiA6OjoCuXHjRsHmUxm8BUTEyN1M4iqJGX6tiOnKNuSM60+bExaZgGGffwr/t/RqwCASY+1wraJPRDsW8/GNZNOXbivVHuSD1Ft374dsbGxWLt2LaKiorB8+XIMGDAAFy9eREBAQIXyhw8fxsiRI9GrVy+4u7tj8eLF6N+/P86ePYvGjf9cRjwmJgYbN27Uv1YqlVI3hcgoqecCOGqKsq05+9De7qSbeGvnGRSUaOHn6YZlz3XBY+0q/rvqbJz9vpJlSN6Ds2zZMkyYMAHjx49HaGgo1q5dCw8PD2zYsKHS8ps3b8Yrr7yC8PBwtG/fHp988gl0Oh0OHjxoUE6pVEKlUum/GjRoIHVTiCol5f5HD7LWgnnOxFmH9opKtZi98zRe3ZaEghItIlv4Yf+0R+pEcAM4730ly5K0B6ekpAQnT57E7Nmz9cfkcjmio6MRHx9v0jUKCwtRWloKPz/DrvfDhw8jICAADRo0QN++ffHee++hYcPKsxqKi4tRXFysf63RaGrQGqKKrL3DtDUWzHMm5UN71a2N40hDeym38zFlSwIuqPMgkwFT/tYar/ZrAxdF3ZlS6Yz3lSxP0t+IzMxMaLVaBAYaTnQLDAyEWq026RozZ85EcHAwoqOj9cdiYmLw2Wef4eDBg1i8eDH+97//YeDAgdBqtZVeY+HChfDx8dF/hYSE1LxRRA+wxVyA8gm0Q8Ibo2erhgxuqmDNvbCs4auTN/DkqiO4oM6Df30l/t/fozCjf7s6FdwAzndfSRp2/VuxaNEibNu2DV9//TXc3f/sahwxYgSeeuophIWFYejQofjmm29w4sQJHD58uNLrzJ49G7m5ufqv69evW6kF5Ow4F8D+GRvaC/RW4rXoNigu09n9nl6FJWV4fccpzNhxCvdKtejVqiH2v9obvdv427pqNsMhW6qOpENU/v7+UCgUyMjIMDiekZEBlarq5cKXLl2KRYsW4YcffkDnzp2rLNuyZUv4+/sjJSUF/fr1q/C+UqnkJGSSBOcCOIbK1sbZevyaxRb+A6RbUfdSRh4mb07A5dv5kMuA16LbYvLfWrN3AhyypapJGuC4ubmhW7duOHjwIIYOHQoA+gnDU6ZMMXrekiVL8P777+O7775D9+7dq/2cGzduICsrC0FBjNjJujgXwHGUD+3FJadbfOE/KbLohBDY8dsNzNmTjKJSHQK8lFgxIsJuV1C2FXteVZpsS/IhqtjYWKxbtw6ffvopzp8/j0mTJqGgoADjx48HAIwZM8ZgEvLixYvxzjvvYMOGDWjevDnUajXUajXy8/MBAPn5+XjjjTdw9OhRXLlyBQcPHsSQIUPQunVrDBgwQOrmEBngXAD7YOoaRFIsECdFFl1BcRmmb0/Cm1+dRlGpDo+08cf+Vx/hg5zIDJKvgzN8+HDcuXMHc+bMgVqtRnh4OOLi4vQTj69duwa5/M846+OPP0ZJSQmeeeYZg+vMnTsX7777LhQKBU6fPo1PP/0UOTk5CA4ORv/+/bFgwQIOQ5FNGNv/SMU9cazCnN4TS+/pZWoWnZfSFZkFxSYNoZy7pcGULQn4PbMACrkMM/q3xcuPtoKcQTKRWbibOHcTJwvhrsbWZ2w/ovLv+sPDTbuTbuLVbUnVXnfFiHAMCW9cbbn41CyMXHfU9ArDePAlhMCW49cwb+85lJTpEOTjjpUjI/CX5hzeJCrH3cSJbMCcuQAMhmqvJmsQWXpSeE2y4yqb65NXVIpZO89g3+n7w1l92wdg6bNd4OfpZvb1ieg+BjhEVib1tg5A3QigTB1uOpqahb/+kU5t6UnhNcmOezj4Op+uweQtCbiaVQgXuQxvxrTDS71bckiKqJYY4BBZkbEhldpk8FT2GVIHUPbA1N6TyVsSsGhYGGI6BVl8T6/qAiZjyoOvBd+cw5Zj11Ci1aGxbz2sGhWBrk257QyRJdj1Qn9EzkSKDJ6HWWtfLHtgau9Jzr1Sg7ZbcoG4qrLoTLHp1yso0erweGgg9k97hMENkQWxB4fISiydwfMwa++LZWvm9p482HZLLhBnLIvOFAq5DP8c1AHj/9ocMtmfn10XhhiJpMYAh8hKpN7WQeoAyh48/OB/Z3AoJm9JqPa8ytpuyQXiygOmo79nYfLmBOTcK632HIVchi9f7omIh3pt6soQI5HUGOAQWYnU2zo4+75Yxh78Ex9tge0nbpgUVEjZdoVcBrlMZlI9AGDpM50rDW6knqNFVFdwDg6RlZQPqRgbaJDh/gO7pts6OPO+WFXNLfrvT2kY16uZSdeRuu2mBlB/79UM/9e1icExa8zRIqpLGOAQWYnU2zpIHUDZiikP/m0nrkPlbTx4sVbbTQ2gHu9YsRfGnCFGIqoeAxwiK7JkBs/DnHVfLFMe/GpNMfKLyyp935ptLw8yjakq0HL2IUYia+McHCIrs2QGT2XXdrZ9sUx9oBsLcHw9XLHw6TCrtF0hl2FUZAj+deByhfeqC7SceYiRyBYY4BDZgCUzeB4mZQBVGalTmmv7QFe6yPF4qAqAtHXV6QT+fTgFH/1wP7hRyGUG82WqCzItvcoyUV3HAIfICUkZQD3IGinNNV0tuJxaU4yPDlyCq0KGrcevQa0ptnhd7+QVI/aLJPx8ORMA8HTXxnj3yY44e0tjcjBl6VWWieo67ibO3cSJasTcnbwt8VkAahTkGGOJuv6akolXtyfhTl4x6rkqMH9IRzzbPaTGdeI6OETGmfP8ZoDDAIfIbFqdQO/Fh4xO/i0fTjkys6/Fehwqe/D7eboiu8C0dWeMqWldtTqBlQcvY+WhyxACaBtYH2tGdUWbQK9a1af82lzJmKgic57fHKIiIrPZYtXkyuYWdWvWAH0+/LHGw1c1rettTRGmbUvE0d/vp2wP7x6Cd5/qiHpuihrWwpC1hhiJnBkDHCIym61Smit78Bubt2IuU+v606U7mL49CVkFJfBwU+CD/wvD0IjGtfhkIpICAxwiMps9pTTXZrPLB1VX1zKtDh/9cAn/PpwKIYAOQd5YMyoCLRvVr/FnVoXDVES1wwCHiMxWk5RmKR/YDw5f/ZJyB6t/TDX5XFPSr9Nz7+HVrUk4fuX+kNToqKZ454lQuLtaZkjqYZxoTFR7DHCIyGzmpjRb44FdPnwV2cIPXyXcNGlejinp1z9euI3YL5Jwt7AU9ZUuWDQsDE90DrZInSvDDTeJLINbNRBRjZi67URVG2VO+jwBccnpFq1XVVtWPKyqLTJKtTos3H8e4zedwN3CUnRq7I1vpvaWNLjhhptElsMeHCKqsepWTa7ugS3D/Qf246Eqi84vMTYvJ8jHHSP+0hTN/T2qHCa7cbcQU7cmIvFaDgBgXK/mmD2oPZQu0gxJlbNFdhqRs2KAQ0S1UlVKsy0f2DXdsuL7s2q88eVp5N4rhZe7Cz58prPVhoS44SaR5TDAIbJTzpBFY+sHtjnryZSU6bDo2wvY8EsaAKBLiC9Wj4xAiJ+HJHWrjD1lpxE5OgY45HTsJTCoTT2cJYvGUR7Y17MLMWVLAk7dyAUAvNS7Bd6MaQ83F+tOU+SGm0SWwwCHnIq9BAa1qYczZdE4wgP72zPpePOr08grKoNPPVf869kuiA4NtEldqspOwx+v3xnMDTeJTMEsKnIa1s7WkaIe9pBFo9UJxKdmYXfSTcSnZtXqs6rKaLL1DtlFpVrM2Z2MSZsTkFdUhm7NGmD/q4/YLLgpZyw7rdyCfees9rNM5MjYg0M2Z4khJVtl61i6HrbOopGiB8xYRpOqkutaa3jxSmYBJm9JwNlbGgDAy31aYUb/tnBVSPc3nzlti+kUBJ1O4JUtiRXec8SePCJbYIBDNmWpB6qtAwNL1cOWk3KlHBozJaNJyuHFB4OLlNv52PjLFeQXl8HP0w3/eq4L/tYuoFbXr465bdPqBBbsO1/ptawZsBM5MgY4ZDOWfKDaOlvHUvWw1aRca/SAVZXRJGVwVVlwAQCtA+rj8xejjA4FWUpN2mYvATuRI+McHLIJS881sZdsndrWo1uzBqgufpDL7pezJHMeqJYm5bwjY/OhACDldj6Srt81+5rmqGnb7CVgJ3JkVglw1qxZg+bNm8Pd3R1RUVE4fvx4leV37NiB9u3bw93dHWFhYdi/f7/B+0IIzJkzB0FBQahXrx6io6Nx+fJlKZtAFmbpB2p5to6x2ECG+0MCUmfr1LYeJ6/eRXXPcZ24X85UpkwatuUDVargqqrgAvizV0rKCds1bZu9BOxEjkzyAGf79u2IjY3F3LlzkZCQgC5dumDAgAG4fft2peV//fVXjBw5Ei+++CISExMxdOhQDB06FMnJyfoyS5YswcqVK7F27VocO3YMnp6eGDBgAIqK+NeMo7D0A9VesnVqWw9Lf1/iktPRe/EhjFx3FK9uS8LIdUfRe/GhClk4tnygShVc/XTpjs16pcrVtG32ErATOTLJA5xly5ZhwoQJGD9+PEJDQ7F27Vp4eHhgw4YNlZZfsWIFYmJi8MYbb6BDhw5YsGABunbtitWrVwO433uzfPlyvP322xgyZAg6d+6Mzz77DLdu3cKuXbukbg5ZiBQPVFM3f5Rabephye+LOenqtnygSvGzcCkjD7N3njGprJTDPFcyC0wq93DbTA2UAVgspZ/I2Ug6ybikpAQnT57E7Nmz9cfkcjmio6MRHx9f6Tnx8fGIjY01ODZgwAB98JKWlga1Wo3o6Gj9+z4+PoiKikJ8fDxGjBhR4ZrFxcUoLi7Wv9ZoNLVpFlmAVAvA1XT/IUuraT0s9X0xd9JwVQvMSd0DZsmfhTKtDh9+dxEbfklDqda0h72/p7LK92uauh6XnI6Pfqh66LyqtlWXXg8AvRcfsvmilkT2StIAJzMzE1qtFoGBhgtnBQYG4sKFC5Weo1arKy2vVqv175cfM1bmYQsXLsS8efNq1AaShpQPVHP2H5JSTephqe9LTbJwzFmvxpIs1eZdiTcwe+cZ3CvVGZxfXZgzY8cpvPtU5e2raep6eYBpiqraZixQPnBO7TSrXRNJpU5kUc2ePRu5ubn6r+vXr9u6SgT7GVKyN5b4vtR07kdMpyAcmdkXWyf0wIoR4dg6oQeOzOwr+b2obZs/+TkVr20/ZRDcANUHNwCQoal8henarEhdXYBZ7rXottW2rTxQHhLeWB+M2nq1ayJHIGkPjr+/PxQKBTIyMgyOZ2RkQKVSVXqOSqWqsnz5fzMyMhAUFGRQJjw8vNJrKpVKKJVVd0OTbdjLkJK9qe33pTbzWmzVA/Z4qApe7q6IT80CINCzpT96tGpYZZuFENh87Bre21d5j3A5uQxGs9MqG7Kr7bpApgaYzf3N36mca+QQmUbSHhw3Nzd069YNBw8e1B/T6XQ4ePAgevbsWek5PXv2NCgPAAcOHNCXb9GiBVQqlUEZjUaDY8eOGb0m2beH/0Kt68FNudp8XxwtC6c822v0J8ew+scUrP4xFa9/eQoHzlU+7AwAeUWlmLYtCW/vSjZaplx1nRkPZ1TVNnXd1ADzSmahSeUexDVyiEwj+RBVbGws1q1bh08//RTnz5/HpEmTUFBQgPHjxwMAxowZYzAJ+dVXX0VcXBz+9a9/4cKFC3j33Xfx22+/YcqUKQAAmUyG1157De+99x727NmDM2fOYMyYMQgODsbQoUOlbg6RQ7CHtHlTN+2syVBQ8s1cPLnqCPaeumXROh+5fAdanah1EBHZwg8q7+p7jbeduGb2UBLXyCEyjeRbNQwfPhx37tzBnDlzoFarER4ejri4OP0k4WvXrkEu/zPO6tWrF7Zs2YK3334bb731Ftq0aYNdu3ahU6dO+jJvvvkmCgoKMHHiROTk5KB3796Ii4uDuzt/oYnK2WrSMGD65Fxzh4KEEPgs/ire33ceJVodFDLAxGQpk6w5nIrNx69hfK8WJpU3FkQo5DKMjGxabRZVTYaSpMpAJHI2MiFEnZuJptFo4OPjg9zcXHh7e9u6OkSSstYO3eWM7b1U/okPThqOT83CyHVHq73m1gk9EBrsjVlfnca3yfeHrbo1a2Dyis5BPu4QQiBDU2zSxGMA8PVwRW5haZVBxJGZfY1+L3cn3cSr25Kq/ZwVI8IxJLyxibW6r/x7DFSedVaXJ+mTczPn+c3NNomcnDUnDZvbI2PqUNCJK9l486tTuJ59D64KGWYP7AA/T1eTA5zy4bryoMAU5SnmNU1dl3IoyZa9c0SOggEOEVmMOZNzI1v4ITOv2GjZB604eBlanUCIXz2sHtkVXUJ8/8i2qt706Db6B/7Hz3fFW1+fQXZBabXn3S0sxfToNth24nqNggiph5KYgUhUNQY4RHWUqUNX5gxxmdoj81n8FUz6/CRy7lUfaJTXYWAnFRYN6wyfeq4Aqg8ggPtDU1P6ttG/jukUhHulOkzfnmTS5zb398SRmX1rFERYY3Voe1nUksgeMcAhqoOMTQJ+Z3AoGni66R/mdwtKsGCf6Sv5mjrcUj6PxhQufwQKz/doBpnsz2CgpgGEytv0IaEAL/daBREcSrJP1p6XRrbBScacZEx1jLFJwKaqaiKrVifQe/GhKntVzNHIS4mN4/6CTo19jJYxdzsFrU7gr4sOQq2pengsqJpJxObgA9V+1HT7DbIP5jy/GeAwwKE6pDwAMWUbgapUlUVkLMPHXE90DsLCp8Pg5e5abVlzA4i45HS8XM2E47XMRHI65mT4kX0y5/ldJ/aiIqL7TN0jqTpVreRrbF8pcwz/SwhWjYwwKbgBzF/1OaZTEP7xaItKV3r2VCoY3Dih6jL8AO7h5Ww4B4eoDrH08v3Grvdwhs/ljDys/jHV5OsODW9sMN/G0uKS0/Hfn9IqfdgVFGsl+1yyHe7hVfewB4eoDrH08v1VXe/BXpW/tm5k8jWl3iOrqr/kgT/X6uFf8s6Fe3jVPQxwiOqQ6jbhNJW5m3Wa87lS75FV2400yTFxD6+6hwEOkR0zdcNKU1W1CaeparKGS/nnVlV7Xw9Xq8x94V/ydVN1Qba5QTvZP87BIbJTUqWzGlubxVTla7g8HqpCfGqWyZlLXZs2QLvA+riYkW9w3FOpwEu9W2JavzZWSZ3mX/J1kzUWXiT7wjRxpomTHbJGOuvDqdV3C4qxYN/5Shb/64AGnkqDQOa7ZDXe3p2M7IISg7LGgq+fL9/B9O1JyMwvgdJFDheFzGAyrzXXITFlrZ4GHq747e3H+bBzQlwHx7FxHZxqMMAhe1bdWjWm7GRdm8+ubj2ZhfvP4T8/pRmt24PBV5lWh+U/XMaawykQAmjsWw83c+5Veh5gvXVIuA5O3caFFx0X18EhcmC2nARb3Xoy+0/fMhrclNetPAMpPfceRq07htU/3g9uRkaGQKvTGT0PsF720uOhKvh6GF9jh5lUzs3cdZPIMXEODpGdsddJsFqdwNu7k6stl55bhP/+lIr//vQ77haWor7SBQufDoN/fSW2Hr9u9DxrrkNyPC0bOYXGN/osr8vR1CzI5TL+pU/kgBjgENkZe50EezwtG9kFpu3+vTjuIgCgU2NvrB7ZFc39PbE76aZJ59YmcDN16MHUz5i8JcFgx3PO1SByHAxwiOxMeTqrsUmw5XNwrJ3Oam7gMbZnM7w1uAOULgoA0gdu5kweNfUzHgxuAECdW4RJnydwzyIiB8A5OER2pqq1amyZzmpqUCADsGZUBOYN6aQPboDarUNS3XpA5VlnD89dKg9I4pLTDY7XdMHDh+cKWXqdoodJfX0iZ8YeHCI7ZGytGpUNh0jKg4Lq1s6Z91RHDO4cXOF4Tdchqa5npqRMh7e+Tq52E8XHQ1X6a5fXpbpMqsqUz89Zfegytp24Llm6MdOZiWqHaeJMEyc7Zm/prMbW5yn3Uu/mePuJjtVew9QHd3XrAU18tAV2nLxh0tygrRN6GExe1uoEur13oMrJxuayVLr7N0k3MWVbkmTXJ3JUXAenGgxwqDr2FljYk7jkdMzaecYgMKivVGDJsM4YVEnPTWVM+f5Wtx6Quf7+1+aY8+SfwVd8ahZGrjtqkWs/qLbrFL2/7xzW/Ww8Fd+U6/Pnl5yVOc9vDlERPYRDA8YVl2kRn5qlD26aN/TAjP7tMCgsyKwHaPk6JFWpbj0gc+1OuoV/Dv5zCEyqNPvapLsv3F91cGPK9fnzS3QfJxkTPcDcyap1yZXMAgz7+Fd8Gn8VAPCPPi1xILYPnuwSLEnvgKUDkKyCEoPFEWuSrWVOK82tf0mZrtrgprrr8+eX6E8McIj+oNUJzNt7rtrJqnUxk2XvqVt4YtURJN/UoIGHKzaO+wtmD+wAV4V0/4RIsc7Pg0GBKZlUD8dtKh93TI9ua9JnmVv//xd/Beb8aD18ff78EhniEBXRH8zZIsGSK+3a83yJolIt5n9zDluOXQMARDb3w4qR4QjyqSf5Z1e3HlBNPBgUmJLVtXpkVzTwdDO4NwCw7cQ1i69TdDW70OSylaXT2+rnl8heMcAh+oMttkiw5/kSqXfyMXlzAi6o8yCTAZMfa43XotvAxUivjaUDteoCEHOCHmNBR03T8WuS7l6dZn4eJpet7Pr2usUHka0wwCH6g7W3SDCWAm0Pq+V+nXgD//w6GYUlWvjXd8NHw8PxSJtGRstLFahVFYB0auyNA+duV3uN6oKOmE5BeDxUZVZwJsU6RS/0bI7395+vdphq9YjwSq9vr1t8ENkKAxyiP1hzi4Tq5kuU72b94OJ01nCvRIu5e5LxxW83AABtAupj+uNt0auVv9FzpA7UKgtA7haUYPIW0xbpMyXoeDCry9SeqAfrpc69h+yCEvjVV8Knnhu0OmH2fXNzkWPCIy2q3K19wiMt8ER440rfs9ctPohshQEO0R9qutJuTdjjfInLGXl4ZXMCLt/O//PY7Xy8sjnBaG+MtQK1hwOQ3osPmTRE5efphncGm96jYm5PlEIuQ+69Eiz57qJFeq9mD7q/Rce6n9MMenLksvvBTfn7lbHmzy+RI+BCf1zojx5ijXkxu5Nu4tVKVqp92IoR4Rhi5C92SxFCYMfJG5izOxlFpbpKyxhbQdfUxfIeXkW4NsxZoK+83mtG3Z8srNYUITu/GH6eblD51NP3zmh1AqsPXcZHP1w2eo3KeqKqW2m5pr1XJWU6/L/4K7iaXYhmfh54oWdzuLmYlrFmz/O6iGrLbhb6y87OxtSpU7F3717I5XIMGzYMK1asQP369Y2Wnzt3Lr7//ntcu3YNjRo1wtChQ7FgwQL4+Pjoy8lkFf8C2bp1K0aMGCFZW6juqMmcDHPZy3yJguIyvLMrGTsTbwK4P0xSUlYxyDHWG2OLia3mXKs88JiyNaHSuS1BPu54qksQdielQ62p/LrG2i5l75WbixwvPtLSrHPKWePnl8gRSBrgjB49Gunp6Thw4ABKS0sxfvx4TJw4EVu2bKm0/K1bt3Dr1i0sXboUoaGhuHr1Kl5++WXcunULX375pUHZjRs3IiYmRv/a19dXyqaQEzM250LKoSF7mC9xPl2DKVsSkHqnAHIZ8Gy3EGz/7brR8pUNm9kiUKvJtYxN3E3PLapyzku5ytpuj8OM5aT++SVyBJIFOOfPn0dcXBxOnDiB7t27AwBWrVqFQYMGYenSpQgOrrhnTadOnfDVV1/pX7dq1Qrvv/8+nn/+eZSVlcHF5c/q+vr6QqVSSVV9sjNSrRVjq+58W86XEEJg6/HrmLf3LIrLdFB5u2PlyAik596rMsApV9liedYM1KRYH8dUD7adadlE9k2yZUjj4+Ph6+urD24AIDo6GnK5HMeOHTP5OuXjbA8GNwAwefJk+Pv7IzIyEhs2bEBVU4mKi4uh0WgMvshxxCWno/fiQxi57ihe3ZaEkeuOovfiQ7Vedt7Wy9qXpxqrfAx7JFQ+7pKliOcUlmDUJ8fw1tdnUFymQ5+2jbD/1UcQ2cKvRr0x5YEaUHEbA6kCtao+U2oPtt1ehhmJqHKS9eCo1WoEBAQYfpiLC/z8/KBWq026RmZmJhYsWICJEycaHJ8/fz769u0LDw8PfP/993jllVeQn5+PadOmVXqdhQsXYt68eTVrCNmUVCnI9pKmbc35Ev/9KRWL4y4aLNV/Ua3B8bQsxHQKqnFvjBRrwlTH2GdKpbK228MwIxEZZ3YW1axZs7B48eIqy5w/fx47d+7Ep59+iosXLxq8FxAQgHnz5mHSpElVXkOj0eDxxx+Hn58f9uzZA1dXV6Nl58yZg40bN+L69cq714uLi1FcXGxw7ZCQEGZR2bnydGBjD7DyB8iRmX3NDghskf1jK0IIzN55BttOVPz9eDjbpzygBCofNqsqoLTFlhPln/nDOTXW/3JFss+RoeosKsD87xcRmU/SLKoZM2Zg3LhxVZZp2bIlVCoVbt82XGW0rKwM2dnZ1c6dycvLQ0xMDLy8vPD1119XGdwAQFRUFBYsWIDi4mIolcoK7yuVykqPk32TchJnXZk/kXuvFLO+Oo1vkyvvNX24t6o2vTG2mNha/pk9WzXEX1r44d095wyyoeQy4xOMTaXyVuLdpzpW2nZb9F4RkWnMDnAaNWqERo2ML9lermfPnsjJycHJkyfRrVs3AMChQ4eg0+kQFRVl9DyNRoMBAwZAqVRiz549cHevfvw6KSkJDRo0YBDjZKQMQurC/IlT13MwZWsCrmffq7Lcw4GiY6cZG0YzXu4uyL1XVuOrTY9uiyl9W1e7bYPjfr+InJdkc3A6dOiAmJgYTJgwAWvXrkVpaSmmTJmCESNG6DOobt68iX79+uGzzz5DZGQkNBoN+vfvj8LCQnz++ecGE4IbNWoEhUKBvXv3IiMjAz169IC7uzsOHDiADz74AK+//rpUTSEbkTIIceb5E0IIbPjlChZ9ex6lWoGGnm7IKiip9rwHA8XqemPsbQd0Y3O1NH8EN55KBQqKtRXOK18HZ8+p9Fpl0jEtm8j+SLoOzubNmzFlyhT069dPv9DfypUr9e+Xlpbi4sWLKCwsBAAkJCToM6xat25tcK20tDQ0b94crq6uWLNmDaZPnw4hBFq3bo1ly5ZhwoQJUjaFbEDKIMRZl7XPKSzBG1+exoFzGQCAgZ1UGNa1CV767LdqzzU1ULS3lXKrmzAOwCC48XJ3wTNdG6N/xyB9YPZmTAe7CtiIqPa4VQMnGds1qSdx2tvDujYSrt3F1C2JuJlzD24KOd5+ogNe6NEMOgH0Xnyo2kDRlMnaUm1NUBvmbN0AcAIwkSOzm60aiGpL6kmczjB/QqcTWPfz7/jwu4so0wk0a+iBNaO6olPj+9ubKGSwSG+VvaTWP8zcOVi2rCsRWQ8DHLJ7Ugchjjx/IrugBK/vOIVDF+5nLD7ROQgLnw6Dl7th5qElAkV73ZqgJnOwbLmNAhFZBwMccgiOHIRI5cSVbEzdkgi1pghuLnK8+2RHjIwMqXQzWqD2gaK9ptbXZusGR18GgIiMY4BD5GB0OoGP/5eKZQcuQasTaNnIE2tGdUWHoOrnk9UmULTX1PqqJoxXx5GXASCiqkm2FxURWV5mfjHGbjyOD7+7v+XC/0U0xt4pvU0KbmqrvKfEWH+PDPcnaNsitd7Yvl7GSF1XrU4gPjULu5NuIj41y2B7DCKyDvbgEDmI+NQsvLotEbfziuHuKsf8IZ3wbLcmRoekLM3eU+sfHoK7klmI5T9cAmDdujpTZh6RI2OaONPEyc5pdQKrDl3GyoOXoRNAm4D6WDO6K9oGetmkPo70ALd2Xe0xjZ7ImZjz/GaAwwCH7NjtvCK8ti0Jv6ZmAQCe7dYE84Z0hIebbTtf7W0l46pYq65Sbg5LRPdxHRwiJ3DkciZe256IzPwSeLgp8N7QTni6axNbVwuAY2W1Wauu9ppGT1RXMcAhsjNlWh2W/3AZaw6nQAigvcoLq0d1ReuA+rauGlXBXtPoieoqBjhEdkSdW4Rp2xJxPC0bADAqqinmPBEKd1eFjWtG1bHXNHqiuooBDpGdOHzxNmK/OIXsghLUV7rgg6fD8FSXYFtXi0zkzDvUEzkiroNDZGOlWh0WfXsB4zaeQHZBCToGe2Pv1N4MbhxMeRo9gAprBdlDGj1RXcMAh8iGbubcw4j/HsXa/6UCAMb0bIavJvVCC39PG9eMasLYgoMqH3emiBNZGYeoiGzkh3MZeP3LU8gpLIWXuwuWDOuMgWF8ADo6Z9ihnsgZMMAhsrKSMh2WxF3AJ0fSAABdmvhg1ciuaNrQw8Y1I0upLjXdkdYRInJUDHCIrOh6diGmbE3Eqes5AIC//7UFZg1sDzeXujdaXFcf8o60EjSRI2OAQ2QlccnpeOPL08grKoNPPVcsfbYLHg8NtHW1bKKuPuSNbeWgzi3CpM8TOE+HyILq3p+NRFZWXKbF3N3JePnzBOQVlSGiqS/2Tetdp4ObSZ8nVFj1t/whH5ecbqOaSUurE5i391ylKeTlx+btPcedx4kshAEOkYSuZBZg2Me/4tP4qwCAf/RpiS/+0RNNGtTN+TZ1+SFvzlYORFR7HKIiksg3p29h1ldnkF9chgYerlj2XDj+1j7A1tWyqbq8XxO3ciCyLgY4RBZWVKrFgm/OYfOxawCAvzRvgJUjIxDkU8/GNbO9uvyQ51YORNbFAIfIglLv5GPy5gRcUOdBJgNeeawVpke3hYuCo8FA3X7IcysHIuviv7pEFrIr8SaeXHUEF9R5aOjphk/HR+KNAe0Z3Dyg/CFvLBlchvvZVM74kOdWDkTWxX95iWrpXokWM788jde2J6GwRIseLf3w7auP4NG2jWxdNbtT1x/y3MqByHpkQgjnS1eohkajgY+PD3Jzc+Ht7W3r6pADu5yRh8lbEnApIx8yGTCtbxtM69fGaR/QllJX18EpV1cXOSSqLXOe3wxwGOBQDe347Trm7D6Le6VaNPJSYsXwcPRq7W/rajkMPuSJyFzmPL85yZjITAXFZXhndzJ2JtwEAPRu7Y+PhoejkZfSxjVzLNXt10REVBsMcIjMcEGtweTNCUi9UwC5DIh9vC1eeaw15Ox5ICKyKwxwiEwghMC2E9fx7p6zKC7TIdBbiZUjIhDVkj0QRET2iAEOUTXyi8vw1s4z2HPqFgDgsXaN8K9nu6BhfQ5JERHZK0nTxLOzszF69Gh4e3vD19cXL774IvLz86s857HHHoNMJjP4evnllw3KXLt2DYMHD4aHhwcCAgLwxhtvoKysTMqmUB2VfDMXT6z8GXtO3YJCLsOsge2xYexfGNwQEdk5SXtwRo8ejfT0dBw4cAClpaUYP348Jk6ciC1btlR53oQJEzB//nz9aw+PPzcm1Gq1GDx4MFQqFX799Vekp6djzJgxcHV1xQcffCBZW6huEULg86NXsWDfeZSU6RDs445VoyLQrZnzLUBHROSMJEsTP3/+PEJDQ3HixAl0794dABAXF4dBgwbhxo0bCA4OrvS8xx57DOHh4Vi+fHml73/77bd44okncOvWLQQGBgIA1q5di5kzZ+LOnTtwc3Ortm5ME6eqaIpKMeur09h/Rg0AiO4QgKXPdoGvR/U/W0REJB1znt+SDVHFx8fD19dXH9wAQHR0NORyOY4dO1bluZs3b4a/vz86deqE2bNno7Cw0OC6YWFh+uAGAAYMGACNRoOzZ89Wer3i4mJoNBqDL6LKnL6RgydWHsH+M2q4KmR4e3AHrBvTncENEZGDkWyISq1WIyAgwPDDXFzg5+cHtVpt9LxRo0ahWbNmCA4OxunTpzFz5kxcvHgRO3fu1F/3weAGgP61sesuXLgQ8+bNq01zyMkJIbDxlytY+O15lGoFmjSoh9WjuiI8xNfWVSMiohowO8CZNWsWFi9eXGWZ8+fP17hCEydO1P9/WFgYgoKC0K9fP6SmpqJVq1Y1uubs2bMRGxurf63RaBASElLjOpJzyS0sxRtfnsL35zIAADEdVVj8TGf41HO1cc2IiKimzA5wZsyYgXHjxlVZpmXLllCpVLh9+7bB8bKyMmRnZ0OlUpn8eVFRUQCAlJQUtGrVCiqVCsePHzcok5Fx/8Fk7LpKpRJKJbNeqKKEa3cxdUsibubcg5tCjn8O7oAxPZtBJuPCfZbGrRmIyJrMDnAaNWqERo2q3yW5Z8+eyMnJwcmTJ9GtWzcAwKFDh6DT6fRBiymSkpIAAEFBQfrrvv/++7h9+7Z+COzAgQPw9vZGaGioma2hukqnE/jkyO9YEncRZTqBZg09sGZUV3Rq7GPrqjmlur65JhFZn6SbbQ4cOBAZGRlYu3atPk28e/fu+jTxmzdvol+/fvjss88QGRmJ1NRUbNmyBYMGDULDhg1x+vRpTJ8+HU2aNMH//vc/APfTxMPDwxEcHIwlS5ZArVbjhRdewEsvvWRymjizqOq2uwUlmLHjFA5duN/D+ETnICx8Ogxe7hySkkJccjomfZ6Ah/+hKe+7+fj5rgxyiMgkdpFFBdzPhmrfvj369euHQYMGoXfv3vjvf/+rf7+0tBQXL17UZ0m5ubnhhx9+QP/+/dG+fXvMmDEDw4YNw969e/XnKBQKfPPNN1AoFOjZsyeef/55jBkzxmDdHCJjTlzJxqCVP+PQhdtwc5Hj/f/rhFUjIxjcSESrE5i391yF4AaA/ti8veeg1Un2dxYR1VGS9uDYK/bg1D06ncDH/0vFsgOXoNUJtPT3xOpRXREazPsvpfjULIxcd7Taclsn9ODO4kRULXOe39yLipxeZn4xYr84hZ8u3QEA/F9EY7w3tBM8lfzxN5e5E4Vv5xUZfa8m5YiITMV/4cmpHf09C9O2JuJ2XjHcXeWY/1QnPNu9CbOkaqAmE4UDvNxNurap5YiITMUAh5ySView+lAKVhy8BJ0AWgfUx79Hd0XbQC9bV82qLJWabWyisDq3CJM+TzA6UTiyhR+CfNyhzi2qdB6ODIDK5369iIgsiQEOOZ3beUV4bVsSfk3NAgA8260J5g3pCA+3uvXjbqnU7OomCstwf6Lw46GqCsGTQi7D3CdDMenzBMgAg2uUl5z7ZCjXwyEii5M0i4rI2o5czsSgFUfwa2oWPNwUWPZcF3z4bJc6GdxM+jzBILgBgPTcIrz8eQJW/HDZ5Myl42nZFa7zIPHHdY+nZVf6fkynIHz8fFeofAyHoVQ+7kwRJyLJ1K1/9clplWl1WHHwMlb/mAIhgPYqL6we1RWtA+rbumpWV1WPS7mPfriErcev4t2nOlYbYFhionBMpyA8HqriSsZEZDUMcMjhqXOLMG1bor4HYWRkU8x9MhTurgob18w2qutxKafWFFc5f6acpSYKK+QypoITkdUwwCGHdvjibcR+cQrZBSXwdFNg4bDOeKpLsK2rZRZL79Fkbsq1sfkz5ThRmIgcEQMcckilWh2WHbiEjw+nAgBCg7yxZnRXtPD3tHHNzCPFHk3mpFw/OH/GWO8KJwoTkSPiJGNyOLdy7mHEf4/qg5sxPZth5yu9HDK4qWwicHnqdVxyeo2uW97jYk64UV2vDycKE5GjYQ8OOZSD5zMwY8cp5BSWwkvpgsXPdMagMMd7uNYm9bo6D/a4mMqUXh9OFCYiR8IAhxxCSZkOS+Iu4JMjaQCAzk18sHpkVzRt6GHjmtWMOanXNZmYW97j8u6ec1BrjH+OufNnOFGYiBwFAxyye9ezCzF1ayKSrucAAP7+1xaYObAdlC6OmyVljT2ayntcVh+6jI9+uFzhfc6fISJnxgCH7FpcshpvfnkKmqIyeLu7YOmzXdC/o8rW1ao1a+3RpJDL8Gp0W7RTeVWYzKyq5WRmIiJ7xgCH7FJxmRYL91/Apl+vAAAimvpi1cgINGngmENSD7N26jXnzxBRXcMAh+zO1awCTNmSiDM3cwEA/3i0JV4f0A6uCudJ+rNF6jXnzxBRXeI8TwxyCvtOp+OJlUdw5mYuGni4YsO47pg9qINTBTflmHpNRCQd9uCQXSgq1eK9fefw+dFrAIC/NG+AlSMjEORTz8Y1kxaHjoiIpMEAh2zu9zv5mLwlEefTNQCAVx5rhdjH28LFCXttKsOhIyIiy2OAQza1O+km3tp5BgUlWjT0dMOy4eHo07aRratFREQOjgEO2cS9Ei3m7T2LbSeuAwB6tPTDihERCPSuXVo0ERERwACHbCDldh4mb07ExYw8yGTA1L5t8Gq/Npx3QkREFsMAh6zqy5M38M6uZNwr1cK/vhIrR4SjV2t/W1eLiIicDAMcsorCkjK8vSsZOxNuAgB6t/bHR8PD0chLaeOaERGRM2KAQ5K7oNZg8uYEpN4pgFwGxD7eFpMea80hKSIikgwDHJKMEALbT1zH3D1nUVymQ6C3EitHRCCqJVOiiYhIWgxwSBL5xWX459dnsDvpFgCgT9tGWPZcFzSszyEpIiKSHgMcsrizt3IxZUsi0jILoJDL8Hr/dvjHoy0h55AUERFZCQMcshghBD4/dg0LvjmHkjIdgn3csWpUBLo1s8yO2ERERKZigEMWoSkqxeyvzmDfmXQAQHSHAHz4TBc08HSzcc2IiKguYoBDtXb6Rg6mbEnEtexCuMhlmDWwPV7s3QIyGYekiIjINiTdzTA7OxujR4+Gt7c3fH198eKLLyI/P99o+StXrkAmk1X6tWPHDn25yt7ftm2blE2hSgghsPGXNAz7+Fdcyy5EY9962PFyT7z0SEsGN0REZFOS9uCMHj0a6enpOHDgAEpLSzF+/HhMnDgRW7ZsqbR8SEgI0tPTDY7997//xYcffoiBAwcaHN+4cSNiYmL0r319fS1efzIut7AUb351Ct+dzQAADOgYiCXDusDHw9XGNSMiIpIwwDl//jzi4uJw4sQJdO/eHQCwatUqDBo0CEuXLkVwcHCFcxQKBVQqlcGxr7/+Gs899xzq169vcNzX17dCWbKOxGt3MWVLIm7m3IObQo5/Du6AMT2bsdeGiIjshmRDVPHx8fD19dUHNwAQHR0NuVyOY8eOmXSNkydPIikpCS+++GKF9yZPngx/f39ERkZiw4YNEEIYvU5xcTE0Go3BF5lPCIF1P/2OZ9fG42bOPTRr6IGvJvXC2F7NGdwQEZFdkawHR61WIyAgwPDDXFzg5+cHtVpt0jXWr1+PDh06oFevXgbH58+fj759+8LDwwPff/89XnnlFeTn52PatGmVXmfhwoWYN29ezRpCAIC7BSV4fccpHLxwGwAwuHMQFj4dBm93DkkREZH9MTvAmTVrFhYvXlxlmfPnz9e4QuXu3buHLVu24J133qnw3oPHIiIiUFBQgA8//NBogDN79mzExsbqX2s0GoSEhNS6jnXFb1eyMXVrItJzi+DmIsecJ0IxOqope22IiMhumR3gzJgxA+PGjauyTMuWLaFSqXD79m2D42VlZcjOzjZp7syXX36JwsJCjBkzptqyUVFRWLBgAYqLi6FUVtwKQKlUVnqcqqbTCaz9KRX/+v4StDqBlv6eWD2qK0KDvW1dNSIioiqZHeA0atQIjRo1qrZcz549kZOTg5MnT6Jbt24AgEOHDkGn0yEqKqra89evX4+nnnrKpM9KSkpCgwYNGMRYUFZ+MWK/OIX/XboDABgaHoz3/i8M9ZVcOomIiOyfZE+rDh06ICYmBhMmTMDatWtRWlqKKVOmYMSIEfoMqps3b6Jfv3747LPPEBkZqT83JSUFP/30E/bv31/hunv37kVGRgZ69OgBd3d3HDhwAB988AFef/11qZpS5xz9PQuvbktEhqYY7q5yzHuqI57rHsIhKSIichiS/jm+efNmTJkyBf369YNcLsewYcOwcuVK/fulpaW4ePEiCgsLDc7bsGEDmjRpgv79+1e4pqurK9asWYPp06dDCIHWrVtj2bJlmDBhgpRNqRO0OoE1P6Zg+Q+XoBNA64D6WDOqK9qpvGxdNSIiIrPIRFX51U5Ko9HAx8cHubm58PbmfBIAuJ1XhOnbk/BLShYA4JluTTB/SEd4uHFIioiI7IM5z28+vQi/pGTi1W1JyMwvRj1XBd4b2gnDujWxdbWIiIhqjAFOHabVCaz44RJW/ZgCIYB2gV5YMzoCrQM4JEVERI6NAU4dlaEpwrStiTiWlg0AGBkZgrlPdoS7q8LGNSMiIqo9Bjh10P8u3cH07UnILiiBp5sCHzwdhiHhjW1dLSIiIothgFOHlGl1+NeBS/j4cCoAIDTIG6tHRaBlo/rVnElERORYGODUEbdy7mHa1kT8dvUuAOCFHs3wz8EdOCRFREROiQFOHXDoQgZivziFnMJSeCldsGhYZwzuHGTrahEREUmGAY4TK9XqsCTuAtb9nAYACGvsg9WjItCsoaeNa0ZERCQtBjhO6np2IaZuTUTS9RwAwPi/Nsesge2hdOGQFBEROT8GOE7ou7NqvLHjFDRFZfB2d8GHz3bBgI7V7+BORETkLBjgOJHiMi0WfXsBG3+5AgAID/HFqpERCPHzsG3FiIiIrIwBjpO4mlWAKVsSceZmLgBg4qMt8caAdnBVyG1cMyIiIutjgOME9p1Ox6yvTiOvuAy+Hq5Y9lwX9G0faOtqERER2QwDHAdWVKrFe/vO4fOj1wAA3Zs1wMqREQj2rWfjmhEREdkWAxwHlZZZgMmbE3AuXQMAeOWxVoh9vC1cOCRFRETEAMcR7U66ibd2nkFBiRYNPd2wbHg4+rRtZOtqERER2Q0GOA6kqFSLd/ecxbYT1wEAUS38sHJkBAK93W1cMyIiIvvCAMdBpNzOw+TNibiYkQeZDJjatw2m9W3NISkiIqJKMMBxAF+dvIG3dyXjXqkW/vWVWDEiHH9t7W/rahEREdktBjh2rLCkDHN2n8WXJ28AAP7auiE+Gh6OAC8OSREREVWFAY6duqjOw+QtCUi5nQ+5DHgtui0m/601FHKZratGRERk9xjg2BkhBL747Trm7D6L4jIdAr2VWDEiAj1aNrR11YiIiBwGAxw7kl9chre/PoNdSbcAAH3aNsKy57qgYX2ljWtGRETkWBjg2IlztzSYsiUBv2cWQCGX4fX+7fCPR1tCziEpIiIiszHAsTEhBDYfu4b535xDSZkOQT7uWDUyAt2b+9m6akRERA6LAY4NaYpKMXvnGew7nQ4A6Nc+AEuf7YIGnm42rhkREZFjY4BjI2du5GLK1gRczSqEi1yGWQPb48XeLSCTcUiKiIiothjgWJkQAp/+egUf7L+AEq0OjX3rYfWoCEQ0bWDrqhERETkNBjhWlFtYije/OoXvzmYAAPqHBuLDZ7rAx8PVxjUjIiJyLgxwrCTpeg6mbEnAjbv34KqQ4a1BHTCuV3MOSREREUmAAY7EhBBYfyQNi769gDKdQFM/D6weFYHOTXxtXTUiIiKnJdlW1O+//z569eoFDw8P+Pr6mnSOEAJz5sxBUFAQ6tWrh+joaFy+fNmgTHZ2NkaPHg1vb2/4+vrixRdfRH5+vgQtqL27BSV46dPf8N6+8yjTCQwOC8I303ozuCEiIpKYZAFOSUkJnn32WUyaNMnkc5YsWYKVK1di7dq1OHbsGDw9PTFgwAAUFRXpy4wePRpnz57FgQMH8M033+Cnn37CxIkTpWhCrZy8mo3BK3/GwQu34eYix3tDO2H1qAh4u3O+DRERkdRkQggh5Qds2rQJr732GnJycqosJ4RAcHAwZsyYgddffx0AkJubi8DAQGzatAkjRozA+fPnERoaihMnTqB79+4AgLi4OAwaNAg3btxAcHCwSXXSaDTw8fFBbm4uvL29a9W+h+l0Av/56Xcs/f4itDqBFv6eWD0qAh2DfSz6OURERHWNOc9vyXpwzJWWlga1Wo3o6Gj9MR8fH0RFRSE+Ph4AEB8fD19fX31wAwDR0dGQy+U4duyY0WsXFxdDo9EYfEkhK78Y4zedwOK4C9DqBIaEB2Pv1N4MboiIiKzMbgIctVoNAAgMDDQ4HhgYqH9PrVYjICDA4H0XFxf4+fnpy1Rm4cKF8PHx0X+FhIRYuPb3rTqUgv9dugOlixyLh4Vh+fBw1FdyHjcREZG1mRXgzJo1CzKZrMqvCxcuSFXXGps9ezZyc3P1X9evX5fkc14f0A7RHQKxZ0pvDP9LU6aAExER2YhZ3QszZszAuHHjqizTsmXLGlVEpVIBADIyMhAUFKQ/npGRgfDwcH2Z27dvG5xXVlaG7Oxs/fmVUSqVUCqVNaqXOeorXfDJ2O7VFyQiIiJJmRXgNGrUCI0aNZKkIi1atIBKpcLBgwf1AY1Go8GxY8f0mVg9e/ZETk4OTp48iW7dugEADh06BJ1Oh6ioKEnqRURERI5Hsjk4165dQ1JSEq5duwatVoukpCQkJSUZrFnTvn17fP311wAAmUyG1157De+99x727NmDM2fOYMyYMQgODsbQoUMBAB06dEBMTAwmTJiA48eP45dffsGUKVMwYsQIkzOoiIiIyPlJNgN2zpw5+PTTT/WvIyIiAAA//vgjHnvsMQDAxYsXkZubqy/z5ptvoqCgABMnTkROTg569+6NuLg4uLu768ts3rwZU6ZMQb9+/SCXyzFs2DCsXLlSqmYQERGRA5J8HRx7JOU6OERERCQNh1wHh4iIiMhSGOAQERGR02GAQ0RERE6HAQ4RERE5HQY4RERE5HQY4BAREZHTYYBDRERETocBDhERETkdBjhERETkdCTbqsGelS/erNFobFwTIiIiMlX5c9uUTRjqZICTl5cHAAgJCbFxTYiIiMhceXl58PHxqbJMndyLSqfT4datW/Dy8oJMJrPotTUaDUJCQnD9+nWn3OeK7XN8zt5Gts/xOXsbnb19gHRtFEIgLy8PwcHBkMurnmVTJ3tw5HI5mjRpIulneHt7O+0PLsD2OQNnbyPb5/icvY3O3j5AmjZW13NTjpOMiYiIyOkwwCEiIiKnwwDHwpRKJebOnQulUmnrqkiC7XN8zt5Gts/xOXsbnb19gH20sU5OMiYiIiLnxh4cIiIicjoMcIiIiMjpMMAhIiIip8MAh4iIiJwOAxwzvf/+++jVqxc8PDzg6+tr0jlCCMyZMwdBQUGoV68eoqOjcfnyZYMy2dnZGD16NLy9veHr64sXX3wR+fn5ErSgaubW48qVK5DJZJV+7dixQ1+usve3bdtmjSZVUJPv9WOPPVah/i+//LJBmWvXrmHw4MHw8PBAQEAA3njjDZSVlUnZlEqZ277s7GxMnToV7dq1Q7169dC0aVNMmzYNubm5BuVseQ/XrFmD5s2bw93dHVFRUTh+/HiV5Xfs2IH27dvD3d0dYWFh2L9/v8H7pvxOWpM57Vu3bh0eeeQRNGjQAA0aNEB0dHSF8uPGjatwr2JiYqRuhlHmtG/Tpk0V6u7u7m5Qxt7uH2BeGyv790Qmk2Hw4MH6MvZ0D3/66Sc8+eSTCA4Ohkwmw65du6o95/Dhw+jatSuUSiVat26NTZs2VShj7u+12QSZZc6cOWLZsmUiNjZW+Pj4mHTOokWLhI+Pj9i1a5c4deqUeOqpp0SLFi3EvXv39GViYmJEly5dxNGjR8XPP/8sWrduLUaOHClRK4wztx5lZWUiPT3d4GvevHmifv36Ii8vT18OgNi4caNBuQfbb001+V736dNHTJgwwaD+ubm5+vfLyspEp06dRHR0tEhMTBT79+8X/v7+Yvbs2VI3pwJz23fmzBnx9NNPiz179oiUlBRx8OBB0aZNGzFs2DCDcra6h9u2bRNubm5iw4YN4uzZs2LChAnC19dXZGRkVFr+l19+EQqFQixZskScO3dOvP3228LV1VWcOXNGX8aU30lrMbd9o0aNEmvWrBGJiYni/PnzYty4ccLHx0fcuHFDX2bs2LEiJibG4F5lZ2dbq0kGzG3fxo0bhbe3t0Hd1Wq1QRl7un9CmN/GrKwsg/YlJycLhUIhNm7cqC9jT/dw//794p///KfYuXOnACC+/vrrKsv//vvvwsPDQ8TGxopz586JVatWCYVCIeLi4vRlzP2e1QQDnBrauHGjSQGOTqcTKpVKfPjhh/pjOTk5QqlUiq1btwohhDh37pwAIE6cOKEv8+233wqZTCZu3rxp8bobY6l6hIeHi7///e8Gx0z5pbCGmraxT58+4tVXXzX6/v79+4VcLjf4h/jjjz8W3t7eori42CJ1N4Wl7uEXX3wh3NzcRGlpqf6Yre5hZGSkmDx5sv61VqsVwcHBYuHChZWWf+6558TgwYMNjkVFRYl//OMfQgjTfietydz2PaysrEx4eXmJTz/9VH9s7NixYsiQIZauao2Y277q/m21t/snRO3v4UcffSS8vLxEfn6+/pg93cMHmfLvwJtvvik6duxocGz48OFiwIAB+te1/Z6ZgkNUEktLS4NarUZ0dLT+mI+PD6KiohAfHw8AiI+Ph6+vL7p3764vEx0dDblcjmPHjlmtrpaox8mTJ5GUlIQXX3yxwnuTJ0+Gv78/IiMjsWHDBpO2u7e02rRx8+bN8Pf3R6dOnTB79mwUFhYaXDcsLAyBgYH6YwMGDIBGo8HZs2ct3xAjLPWzlJubC29vb7i4GG5XZ+17WFJSgpMnTxr8/sjlckRHR+t/fx4WHx9vUB64fy/Ky5vyO2ktNWnfwwoLC1FaWgo/Pz+D44cPH0ZAQADatWuHSZMmISsry6J1N0VN25efn49mzZohJCQEQ4YMMfgdsqf7B1jmHq5fvx4jRoyAp6enwXF7uIc1Ud3voCW+Z6aok5ttWpNarQYAgwdf+evy99RqNQICAgzed3FxgZ+fn76MNViiHuvXr0eHDh3Qq1cvg+Pz589H37594eHhge+//x6vvPIK8vPzMW3aNIvV3xQ1beOoUaPQrFkzBAcH4/Tp05g5cyYuXryInTt36q9b2T0uf89aLHEPMzMzsWDBAkycONHguC3uYWZmJrRabaXf2wsXLlR6jrF78eDvW/kxY2WspSbte9jMmTMRHBxs8LCIiYnB008/jRYtWiA1NRVvvfUWBg4ciPj4eCgUCou2oSo1aV+7du2wYcMGdO7cGbm5uVi6dCl69eqFs2fPokmTJnZ1/4Da38Pjx48jOTkZ69evNzhuL/ewJoz9Dmo0Gty7dw93796t9c+9KRjgAJg1axYWL15cZZnz58+jffv2VqqRZZnavtq6d+8etmzZgnfeeafCew8ei4iIQEFBAT788EOLPRylbuODD/uwsDAEBQWhX79+SE1NRatWrWp8XVNZ6x5qNBoMHjwYoaGhePfddw3ek/oekvkWLVqEbdu24fDhwwYTcUeMGKH//7CwMHTu3BmtWrXC4cOH0a9fP1tU1WQ9e/ZEz5499a979eqFDh064D//+Q8WLFhgw5pJY/369QgLC0NkZKTBcUe+h/aCAQ6AGTNmYNy4cVWWadmyZY2urVKpAAAZGRkICgrSH8/IyEB4eLi+zO3btw3OKysrQ3Z2tv782jC1fbWtx5dffonCwkKMGTOm2rJRUVFYsGABiouLLbJXibXaWC4qKgoAkJKSglatWkGlUlXIAMjIyAAAh7mHeXl5iImJgZeXF77++mu4urpWWd7S97Ay/v7+UCgU+u9luYyMDKPtUalUVZY35XfSWmrSvnJLly7FokWL8MMPP6Bz585Vlm3ZsiX8/f2RkpJi1YdjbdpXztXVFREREUhJSQFgX/cPqF0bCwoKsG3bNsyfP7/az7HVPawJY7+D3t7eqFevHhQKRa1/Lkxisdk8dYy5k4yXLl2qP5abm1vpJOPffvtNX+a7776z2STjmtajT58+FTJvjHnvvfdEgwYNalzXmrLU9/rIkSMCgDh16pQQ4s9Jxg9mAPznP/8R3t7eoqioyHINqEZN25ebmyt69Ogh+vTpIwoKCkz6LGvdw8jISDFlyhT9a61WKxo3blzlJOMnnnjC4FjPnj0rTDKu6nfSmsxtnxBCLF68WHh7e4v4+HiTPuP69etCJpOJ3bt317q+5qpJ+x5UVlYm2rVrJ6ZPny6EsL/7J0TN27hx40ahVCpFZmZmtZ9hy3v4IJg4ybhTp04Gx0aOHFlhknFtfi5MqqvFrlRHXL16VSQmJupToRMTE0ViYqJBSnS7du3Ezp079a8XLVokfH19xe7du8Xp06fFkCFDKk0Tj4iIEMeOHRNHjhwRbdq0sVmaeFX1uHHjhmjXrp04duyYwXmXL18WMplMfPvttxWuuWfPHrFu3Tpx5swZcfnyZfHvf/9beHh4iDlz5kjensqY28aUlBQxf/588dtvv4m0tDSxe/du0bJlS/Hoo4/qzylPE+/fv79ISkoScXFxolGjRjZLEzenfbm5uSIqKkqEhYWJlJQUg7TUsrIyIYRt7+G2bduEUqkUmzZtEufOnRMTJ04Uvr6++oy1F154QcyaNUtf/pdffhEuLi5i6dKl4vz582Lu3LmVpolX9ztpLea2b9GiRcLNzU18+eWXBveq/N+gvLw88frrr4v4+HiRlpYmfvjhB9G1a1fRpk0bqwbbNW3fvHnzxHfffSdSU1PFyZMnxYgRI4S7u7s4e/asvow93T8hzG9jud69e4vhw4dXOG5v9zAvL0//rAMgli1bJhITE8XVq1eFEELMmjVLvPDCC/ry5Wnib7zxhjh//rxYs2ZNpWniVX3PLIEBjpnGjh0rAFT4+vHHH/Vl8Md6IeV0Op145513RGBgoFAqlaJfv37i4sWLBtfNysoSI0eOFPXr1xfe3t5i/PjxBkGTtVRXj7S0tArtFUKI2bNni5CQEKHVaitc89tvvxXh4eGifv36wtPTU3Tp0kWsXbu20rLWYG4br127Jh599FHh5+cnlEqlaN26tXjjjTcM1sERQogrV66IgQMHinr16gl/f38xY8YMgzRrazG3fT/++GOlP9MARFpamhDC9vdw1apVomnTpsLNzU1ERkaKo0eP6t/r06ePGDt2rEH5L774QrRt21a4ubmJjh07in379hm8b8rvpDWZ075mzZpVeq/mzp0rhBCisLBQ9O/fXzRq1Ei4urqKZs2aiQkTJlj0wWEuc9r32muv6csGBgaKQYMGiYSEBIPr2dv9E8L8n9ELFy4IAOL777+vcC17u4fG/o0ob9PYsWNFnz59KpwTHh4u3NzcRMuWLQ2eieWq+p5ZgkwIG+TqEhEREUmI6+AQERGR02GAQ0RERE6HAQ4RERE5HQY4RERE5HQY4BAREZHTYYBDRERETocBDhERETkdBjhERETkdBjgEBERkdNhgENEREROhwEOEREROR0GOEREROR0/j8oddz0D59mrAAAAABJRU5ErkJggg==", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# look at first component \n", "plt.scatter(e11, e12)\n", From d93e9d1769c5974829193f08b4418057898ad240 Mon Sep 17 00:00:00 2001 From: Ismael Mendoza Date: Fri, 11 Aug 2023 15:55:49 -0400 Subject: [PATCH 2/2] remove output --- notebooks/01-scarlet.ipynb | 71 +++----------------------------------- 1 file changed, 4 insertions(+), 67 deletions(-) diff --git a/notebooks/01-scarlet.ipynb b/notebooks/01-scarlet.ipynb index b3d07acf..03030051 100644 --- a/notebooks/01-scarlet.ipynb +++ b/notebooks/01-scarlet.ipynb @@ -105,23 +105,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "BlendBatch(survey_name=LSST, \n", - "\t blend_images: np.ndarray, shape [100, 6, 120, 120]\n", - "\t isolated_images: np.ndarray, shape [100, 3, 6, 120, 120]\n", - "\t catalog_list: list of , size 100\n", - "\t psfs: list of , size 6\n", - "\t wcs: )" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "blend_batch = next(draw_generator)\n", "blend_batch" @@ -162,22 +146,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "DeblendExample(max_n_sources = 3, n_bands = 6, image_size = 120), \n", - " containing: \n", - "\tcatalog: \n", - "\tsegmentation: None\n", - "\tdeblended_images: , shape [3, 6, 120, 120]" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "deblend_ex = deblender.deblend(0, blend_batch, reference_catalogs=blend_batch.catalog_list)\n", "deblend_ex" @@ -219,18 +188,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "n_failures = np.sum([len(cat) == 0 for cat in deblend_batch.catalog_list], axis=0)\n", "n_failures" @@ -302,28 +260,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# look at first component \n", "plt.scatter(e11, e12)\n",