From 0907a16f553f71075107ce5b4f0337c23a624ead Mon Sep 17 00:00:00 2001 From: Tim White <94207159+timwhite0@users.noreply.github.com> Date: Sun, 15 Sep 2024 12:27:05 -0400 Subject: [PATCH] Weak lensing simulator (#1071) * Modify wl config and prior to generate 512x512 images with constant shear and convergence * 2048x2048 images, slightly greater shear/conv * Get rid of super().render_galaxy() in lensing decoder to avoid double convolution of galaxy * Add flag to circumvent using SDSS frame (which is too small) to add survey bg * Update two-point notebook to demonstrate robustness to noise distribution * Galaxy shape derivation notebook + rename dict in prior * Apply shear and convergence in prior, get rid of LensingDecoder * Revert "Apply shear and convergence in prior, get rid of LensingDecoder" This reverts commit 98eda8334ec2bc51d03f9e4df689d35d03807552. * Update lensing config * Update lensing config (again) * Use universal fluxes in lensing decoder * Big tiles (256x256) in lensing_config * Update galaxy shape derivation notebook * Split up render_galaxy in base decoder to avoid repeated code in lensing decoder --- bliss/conf/base_config.yaml | 1 + bliss/simulator/decoder.py | 43 +- case_studies/weak_lensing/lensing_config.yaml | 53 +- case_studies/weak_lensing/lensing_decoder.py | 2 +- case_studies/weak_lensing/lensing_prior.py | 136 +-- .../weak_lensing/notebooks/dc2/twopoint.ipynb | 790 ++++++++++++++++++ .../wl_galaxy_shape_derivation.ipynb | 665 +++++++++++++++ 7 files changed, 1524 insertions(+), 166 deletions(-) create mode 100644 case_studies/weak_lensing/notebooks/weak_lensing_sims/wl_galaxy_shape_derivation.ipynb diff --git a/bliss/conf/base_config.yaml b/bliss/conf/base_config.yaml index f13dde34d..a21423907 100644 --- a/bliss/conf/base_config.yaml +++ b/bliss/conf/base_config.yaml @@ -50,6 +50,7 @@ decoder: _target_: bliss.simulator.decoder.Decoder tile_slen: 4 survey: ${surveys.sdss} + use_survey_background: true with_dither: true with_noise: true diff --git a/bliss/simulator/decoder.py b/bliss/simulator/decoder.py index d9a5f2cbb..05b96f35e 100644 --- a/bliss/simulator/decoder.py +++ b/bliss/simulator/decoder.py @@ -15,6 +15,7 @@ def __init__( self, tile_slen: int, survey: Survey, + use_survey_background: bool = True, with_dither: bool = True, with_noise: bool = True, ) -> None: @@ -23,6 +24,7 @@ def __init__( Args: tile_slen: side length in pixels of a tile survey: survey to mimic (psf, background, calibration, etc.) + use_survey_background: if True, add randomly sampled survey background to the images with_dither: if True, apply random pixel shifts to the images and align them with_noise: if True, add Poisson noise to the image pixels """ @@ -31,6 +33,7 @@ def __init__( self.tile_slen = tile_slen self.survey = survey + self.use_survey_background = use_survey_background self.with_dither = with_dither self.with_noise = with_noise @@ -50,17 +53,16 @@ def render_star(self, psf, band, source_params): """ return psf[band].withFlux(source_params["fluxes"][band].item()) - def render_galaxy(self, psf, band, source_params): - """Render a galaxy with given params and PSF. + def render_bulge_plus_disk(self, band, source_params): + """Render a galaxy with given params. Args: - psf (List): a list of PSFs for each band band (int): band source_params (Tensor): Tensor containing the parameters for a particular source (see prior.py for details about these parameters) Returns: - GSObject: a galsim representation of the rendered galaxy convolved with the PSF + GSObject: a galsim representation of the rendered galaxy """ disk_flux = source_params["fluxes"][band] * source_params["galaxy_disk_frac"] bulge_frac = 1 - source_params["galaxy_disk_frac"] @@ -80,7 +82,21 @@ def render_galaxy(self, psf, band, source_params): bulge = galsim.DeVaucouleurs(flux=bulge_flux, half_light_radius=bulge_hlr_arcsecs) sheared_bulge = bulge.shear(q=source_params["galaxy_bulge_q"].item(), beta=beta) components.append(sheared_bulge) - galaxy = galsim.Add(components) + return galsim.Add(components) + + def render_galaxy(self, psf, band, source_params): + """Render a galaxy with given params and PSF. + + Args: + psf (List): a list of PSFs for each band + band (int): band + source_params (Tensor): Tensor containing the parameters for a particular source + (see prior.py for details about these parameters) + + Returns: + GSObject: a galsim representation of the rendered galaxy convolved with the PSF + """ + galaxy = self.render_bulge_plus_disk(band, source_params) return galsim.Convolution(galaxy, psf[band]) @property @@ -125,6 +141,7 @@ def coadd_images(self, images): coadded_images[b] = self.survey.coadd_images(images[b]) return torch.from_numpy(coadded_images).float() + # pylint: disable=R0915 def render_image(self, tile_cat): """Render a single image from a tile catalog.""" batch_size, n_tiles_h, n_tiles_w = tile_cat["n_sources"].shape @@ -138,12 +155,16 @@ def render_image(self, tile_cat): image_idx = np.random.randint(len(self.survey), dtype=int) frame = self.survey[image_idx] - # sample background from a random position in the frame - height, width = frame["background"].shape[-2:] - h_diff, w_diff = height - slen_h, width - slen_w - h = 0 if h_diff == 0 else np.random.randint(h_diff) - w = 0 if w_diff == 0 else np.random.randint(w_diff) - background = frame["background"][:, h : (h + slen_h), w : (w + slen_w)] + if self.use_survey_background: + # sample background from a random position in the frame + height, width = frame["background"].shape[-2:] + h_diff, w_diff = height - slen_h, width - slen_w + h = 0 if h_diff == 0 else np.random.randint(h_diff) + w = 0 if w_diff == 0 else np.random.randint(w_diff) + background = frame["background"][:, h : (h + slen_h), w : (w + slen_w)] + else: + background = 0 + image += background full_cat = tile_cat.to_full_catalog(self.tile_slen) diff --git a/case_studies/weak_lensing/lensing_config.yaml b/case_studies/weak_lensing/lensing_config.yaml index 8cd831cfa..775817124 100644 --- a/case_studies/weak_lensing/lensing_config.yaml +++ b/case_studies/weak_lensing/lensing_config.yaml @@ -7,36 +7,31 @@ defaults: mode: train paths: - dc2: /data/scratch/dc2local # change for gl - output: /data/scratch/twhit/bliss_output # change for gl + dc2: /data/scratch/dc2local + cached_data: /data/scratch/weak_lensing/weak_lensing_img2048_shear02 + output: /data/scratch/twhit/bliss_output prior: _target_: case_studies.weak_lensing.lensing_prior.LensingPrior - star_color_model_path: /data/scratch/sdss/color_models/star_gmm_nmgy.pkl - gal_color_model_path: /data/scratch/sdss/color_models/gal_gmm_nmgy.pkl - n_tiles_h: 8 - n_tiles_w: 8 - batch_size: 1 + n_tiles_h: 12 # cropping 2 tiles from each side (4 total) + n_tiles_w: 12 # cropping 2 tiles from each side (4 total) + batch_size: 2 + max_sources: 200 + constant_shear: 0.2 + constant_convergence: 0.2 prob_galaxy: 1.0 - mean_sources: 162 - arcsec_per_pixel: 0.055 - sample_method: cosmology - shear_mean: 0 - shear_std: 0.0175 - convergence_mean: 0 - convergence_std: 0.025 - num_knots: 4 + mean_sources: 82 # 0.02 * (256/4) * (256/4) decoder: _target_: case_studies.weak_lensing.lensing_decoder.LensingDecoder - tile_slen: 128 - survey: ${surveys.sdss} + tile_slen: 256 + use_survey_background: false + with_dither: false + with_noise: false -simulator: - n_batches: 128 - num_workers: 32 - valid_n_batches: 10 - fix_validation_set: true +cached_simulator: + batch_size: 2 + train_transforms: [] variational_factors: - _target_: bliss.encoder.variational_dist.BivariateNormalFactor @@ -115,14 +110,6 @@ surveys: num_workers: 1 cached_data_path: ${paths.dc2}/dc2_lensing_splits_img2048_tile256 -train: - trainer: - logger: - name: dc2_weak_lensing_exp - version: exp_08_12 - devices: 1 # cuda:0 for gl - use_distributed_sampler: false - precision: 32-true - data_source: ${surveys.dc2} - pretrained_weights: null - seed: 123123 +generate: + n_image_files: 50 + n_batches_per_file: 4 diff --git a/case_studies/weak_lensing/lensing_decoder.py b/case_studies/weak_lensing/lensing_decoder.py index 2339f6a77..2d4d27bb9 100644 --- a/case_studies/weak_lensing/lensing_decoder.py +++ b/case_studies/weak_lensing/lensing_decoder.py @@ -16,7 +16,7 @@ def render_galaxy(self, psf, band, source_params): Returns: GSObject: a galsim representation of the rendered galaxy convolved with the PSF """ - galaxy = super().render_galaxy(psf, band, source_params) + galaxy = self.render_bulge_plus_disk(band, source_params) shear = source_params["shear"] shear1, shear2 = shear diff --git a/case_studies/weak_lensing/lensing_prior.py b/case_studies/weak_lensing/lensing_prior.py index 334dba638..7005225e4 100644 --- a/case_studies/weak_lensing/lensing_prior.py +++ b/case_studies/weak_lensing/lensing_prior.py @@ -1,131 +1,30 @@ -import os - -import galsim -import numpy as np import torch -from torch.distributions import Beta, Normal, Uniform from bliss.catalog import TileCatalog from bliss.simulator.prior import CatalogPrior -from case_studies.weak_lensing import generate_angular_cl class LensingPrior(CatalogPrior): def __init__( self, *args, - arcsec_per_pixel: float, - sample_method: str, - shear_mean: float, - shear_std: float, - convergence_mean: float, - convergence_std: float, - num_knots: int, + constant_shear, + constant_convergence, **kwargs, ): super().__init__(*args, **kwargs) - self.arcsec_per_pixel = arcsec_per_pixel - - self.sample_method = sample_method - self.shear_mean = shear_mean - self.shear_std = shear_std - self.num_knots = [num_knots, num_knots] - self.convergence_mean = convergence_mean - self.convergence_std = convergence_std - - if self.sample_method == "cosmology": - self.grid_size = 0.06 - - if os.path.exists("angular_cl.npy"): - angular_cl = np.load("angular_cl.npy") - else: - generate_angular_cl.main() - angular_cl = np.load("angular_cl.npy") - - angular_cl_table = galsim.LookupTable(x=angular_cl[0], f=angular_cl[1]) - self.power_spectrum = galsim.PowerSpectrum(angular_cl_table, units=galsim.degrees) + self.constant_shear = constant_shear + self.constant_convergence = constant_convergence def _sample_shear_and_convergence(self): - shear_map = torch.zeros((self.batch_size, self.n_tiles_h, self.n_tiles_w, 2)) - convergence_map = torch.zeros((self.batch_size, self.n_tiles_h, self.n_tiles_w, 1)) - - for i in range(self.batch_size): - g1, g2, kappa = self.power_spectrum.buildGrid( - grid_spacing=self.grid_size / self.n_tiles_w, - ngrid=self.n_tiles_w, - get_convergence=True, - units=galsim.degrees, - ) - gamma1 = g1 * (1 - kappa) - gamma2 = g2 * (1 - kappa) - - shear_map[i, :, :, 0] = torch.from_numpy(gamma1) - shear_map[i, :, :, 1] = torch.from_numpy(gamma2) - convergence_map[i, :, :, 0] = torch.from_numpy(kappa) - - return ( - shear_map.unsqueeze(3).expand(-1, -1, -1, self.max_sources, -1), - convergence_map.unsqueeze(3).expand(-1, -1, -1, self.max_sources, -1), + shear = self.constant_shear * torch.ones( + (self.batch_size, self.n_tiles_h, self.n_tiles_w, self.max_sources, 2) + ) + convergence = self.constant_convergence * torch.ones( + (self.batch_size, self.n_tiles_h, self.n_tiles_w, self.max_sources, 1) ) - def _sample_shear(self): - latent_dims = (self.batch_size, self.n_tiles_h, self.n_tiles_w, 2) - if self.sample_method == "interpolate": - # number of knots in each dimension - corners = (self.batch_size, self.num_knots[0], self.num_knots[1], 2) - - shear_maps = Normal(self.shear_mean, self.shear_std).sample(corners) - # want to change from 32 x 20 x 20 x 2 to 32 x 2 x 20 x 20 - shear_maps = shear_maps.reshape( - (self.batch_size, 2, self.num_knots[0], self.num_knots[1]) - ) - - shear_maps = torch.nn.functional.interpolate( - shear_maps, - scale_factor=( - self.n_tiles_h // self.num_knots[0], - self.n_tiles_w // self.num_knots[1], - ), - mode="bilinear", - align_corners=True, - ) - - # want to change from 32 x 2 x 20 x 20 to 32 x 20 x 20 x 2 - shear_maps = torch.swapaxes(shear_maps, 1, 3) - shear_maps = torch.swapaxes(shear_maps, 1, 2) - else: - shear_maps = Uniform(self.shear_min, self.shear_max).sample(latent_dims) - - return shear_maps.unsqueeze(3).expand(-1, -1, -1, self.max_sources, -1) - - def _sample_convergence(self): - latent_dims = (self.batch_size, self.n_tiles_h, self.n_tiles_w, 1) - if self.sample_method == "interpolate": - # number of knots in each dimension - corners = (self.batch_size, self.num_knots[0], self.num_knots[1], 1) - convergence_map = Normal(self.convergence_mean, self.convergence_std).sample(corners) - # want to change from 32 x 20 x 20 x 2 to 32 x 2 x 20 x 20 - convergence_map = convergence_map.reshape( - (self.batch_size, 1, self.num_knots[0], self.num_knots[1]) - ) - - convergence_map = torch.nn.functional.interpolate( - convergence_map, - scale_factor=( - self.n_tiles_h // self.num_knots[0], - self.n_tiles_w // self.num_knots[1], - ), - mode="bilinear", - align_corners=True, - ) - - # want to change from 32 x 1 x 20 x 20 to 32 x 20 x 20 x 1 - convergence_map = torch.swapaxes(convergence_map, 1, 3) - convergence_map = torch.swapaxes(convergence_map, 1, 2) - else: - convergence_map = Beta(self.convergence_a, self.convergence_b).sample(latent_dims) - - return convergence_map.unsqueeze(3).expand(-1, -1, -1, self.max_sources, -1) + return shear, convergence def sample(self) -> TileCatalog: """Samples latent variables from the prior of an astronomical image. @@ -137,15 +36,10 @@ def sample(self) -> TileCatalog: The remaining dimensions are variable-specific. """ - catalog_params = super().sample() - - if self.sample_method == "interpolate": - shear = self._sample_shear() - convergence = self._sample_convergence() - elif self.sample_method == "cosmology": - shear, convergence = self._sample_shear_and_convergence() + d = super().sample() - catalog_params["shear"] = shear - catalog_params["convergence"] = convergence + shear, convergence = self._sample_shear_and_convergence() + d["shear"] = shear + d["convergence"] = convergence - return TileCatalog(catalog_params) + return TileCatalog(d) diff --git a/case_studies/weak_lensing/notebooks/dc2/twopoint.ipynb b/case_studies/weak_lensing/notebooks/dc2/twopoint.ipynb index 7ba4a4602..8b74c0243 100644 --- a/case_studies/weak_lensing/notebooks/dc2/twopoint.ipynb +++ b/case_studies/weak_lensing/notebooks/dc2/twopoint.ipynb @@ -367,6 +367,796 @@ "_ = plt.xlim([1,100])\n", "_ = plt.ylim([1e-7,1e-3])" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Empirical two-point correlations with noisy estimates of shear and convergence" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Gaussian noise" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard deviation of 0.01 (typical for shear):" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] + np.random.normal(size = catalog[\"shear_1\"].shape[0], scale = 0.01)\n", + "shear2 = catalog[\"shear_2\"] + np.random.normal(size = catalog[\"shear_2\"].shape[0], scale = 0.01)\n", + "convergence = catalog[\"convergence\"] + np.random.normal(size = catalog[\"convergence\"].shape[0], scale = 0.01)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard deviation of 0.1 (high):" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] + np.random.normal(size = catalog[\"shear_1\"].shape[0], scale = 0.1)\n", + "shear2 = catalog[\"shear_2\"] + np.random.normal(size = catalog[\"shear_2\"].shape[0], scale = 0.1)\n", + "convergence = catalog[\"convergence\"] + np.random.normal(size = catalog[\"convergence\"].shape[0], scale = 0.1)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard deviation of 0.5 (unrealistically high):" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] + np.random.normal(size = catalog[\"shear_1\"].shape[0], scale = 0.5)\n", + "shear2 = catalog[\"shear_2\"] + np.random.normal(size = catalog[\"shear_2\"].shape[0], scale = 0.5)\n", + "convergence = catalog[\"convergence\"] + np.random.normal(size = catalog[\"convergence\"].shape[0], scale = 0.5)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Uniform noise" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Uniform noise on [-0.01, 0.01]:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] + np.random.uniform(size = catalog[\"shear_1\"].shape[0], low = -0.01, high = 0.01)\n", + "shear2 = catalog[\"shear_2\"] + np.random.uniform(size = catalog[\"shear_2\"].shape[0], low = -0.01, high = 0.01)\n", + "convergence = catalog[\"convergence\"] + np.random.uniform(size = catalog[\"convergence\"].shape[0], low = -0.01, high = 0.01)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Uniform noise on [-0.1, 0.1]:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] + np.random.uniform(size = catalog[\"shear_1\"].shape[0], low = -0.1, high = 0.1)\n", + "shear2 = catalog[\"shear_2\"] + np.random.uniform(size = catalog[\"shear_2\"].shape[0], low = -0.1, high = 0.1)\n", + "convergence = catalog[\"convergence\"] + np.random.uniform(size = catalog[\"convergence\"].shape[0], low = -0.1, high = 0.1)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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IYEqSJEmqEsaNG8fOnTsruhtl8sMPP+Dt7U3Tpk2fqp3XXnuNSZMmlVOviivP99bQ0JBx48bxwQcflEt7ukAGU5IkSVKVYG5ujq2tbUV3o9Q0Gg3z5s1jxIgRT9WOSqVi06ZN9OjRo5x6Vlx5v7cDBw5k3759nDlzptzarEgymJIkSZIAyMzMIzMzD41Goz2Wl6ciMzOP3NyCh56rVheem58vzs3JKd25ZZGSkoKTkxNffPGF9tiBAwcwNDTUjpiUZSpq2LBh9OrVi2nTpmFvb4+lpSVvvPEGeXl5JT5HoVCwbt26IsesrKxYvHgxIKavxo4di7OzM8bGxnh6evLll1+W2N6xY8eIjY2la9eu2mP9+vVj7Nix2vvvvPMOCoWCc+fOaa9hZmbGjh07irwPBgYGhISEPPQ6rVu35u2332bChAnY2Njg5OTE1KlTi5xz5coVevbsibm5OZaWlvTv35+kpCTt4/9+b8PDw2nYsCFmZmZYWVnRrFkzLl++rH18/fr1NGjQAGNjY3x8fJg2bRoFBYXfF9bW1jRr1ozly5eX+P5UJjKYkiRJkgAwN5+Luflcbt7M1h6bMeMI5uZzGTu26BSPg8P3mJvP5cqVNO2x+fMjMTefy4gR24qc6+X1M+bmczl79pb22OLFZRuRsLe3Z+HChUydOpWjR4+Snp7O4MGDGTt2LO3atStTW/ft3LmTs2fPEh4ezh9//MGff/7JtGnTnqgtgLlz57JhwwZWrlzJ+fPnWbZsGV5eXiWev3fvXvz8/LCwsNAea9WqFeHh4dr7u3fvxs7OTnvsyJEj5OfnF5kW3LBhA927d0ehUJR4rV9//RUzMzMiIiKYPn06n376KX///TcAarWanj17cvv2bXbv3s3ff//NpUuXCAsLe2hbBQUF9OrVi1atWnHq1CkOHjzI6NGjtdffu3cvQ4YM4b///S/R0dH8+OOPLF68mM8//7xIOw0bNqwyeyXK7WQkSZKkSqFLly6MGjWKgQMHEhwcjJmZ2SNHfh7H0NCQhQsXYmpqSkBAAJ9++injx4/ns88+Q6ks+1jDlStX8PX1pXnz5igUCjw9PR95/uXLl3FxcSlyrHXr1vz3v/8lJSUFfX19oqOj+eSTTwgPD+eNN94gPDyckJAQTE1Ntc9Zv34933zzzSOvVbduXaZMmQKAr68v8+bNY+fOnbRv356dO3cSFRVFXFwc7u7uACxZsoSAgACOHDlSbMQrLS2N1NRUunXrRvXq1QGoVauW9vFp06bx4YcfMnToUAB8fHz47LPPmDBhgrYPAC4uLkVGsyozGUxJkiRJAGRkvA2AqamB9tj48SG8804D9PWLBhfJyW8CYGJSeO6YMUGMGhWInl7Rc+PjRxU7d9iwgCfq48yZM6lTpw6rVq3i2LFjGBkZPVE7APXq1SsSlDRp0oSMjAwSEhIeGwg9zLBhw2jfvj3+/v506tSJbt260aFDhxLPz87OxtjYuMixOnXqYGNjw+7duzE0NKR+/fp069aN+fPnA2KkqnXr1trzz549y/Xr1x87Ole3bt0i952dnUlOTta24e7urg2kAGrXro2VlRVnz54tFkzZ2NgwbNgwOnbsSPv27QkNDaV///44OzsDcPLkSfbv319kJEqlUpGTk0NWVpb2PTcxMSErK+uR/a4s5DSfJEmSBICZmSFmZoZFposMDfUwMzPEyEj/oecqlYXnGhiIc42NS3fuk4iNjeX69euo1Wri4+OfqI0npVAoiuSTAeTn52u/btCgAXFxcXz22WdkZ2fTv39/+vXrV2J7dnZ23Llzp9g1WrZsSXh4uDZwqlu3Lrm5uZw+fZoDBw7QqlUr7fkbNmygffv2xYKyfzMwMChyX6FQoFarH/uaS7Jo0SIOHjxI06ZNWbFiBX5+fhw6dAiAjIwMpk2bRmRkpPYWFRXFxYsXi/Tz9u3b2NvbP3EfdIkMpiRJkqRKIS8vj0GDBhEWFsZnn33GyJEjtaMrT+LkyZNkZxfmhx06dAhzc/MiIzQPsre3JzExUXv/4sWLxUZWLC0tCQsL4+eff2bFihWsWbOG27dvP7S9+vXrc+7cuWIB2v28qfDwcFq3bo1SqaRly5bMmDGD3NxcmjVrpj13/fr19OzZs8yv/UG1atUiISGBhIQE7bHo6Gju3r1L7dq1S3xe/fr1+eijjzhw4AB16tTh999/B0RQef78eWrUqFHs9uD06enTp6lfv/5T9V1XyGCqlObPn0/t2rVLXC0hSZIkPVsTJ04kNTWVuXPn8sEHH+Dn58fw4cOfuL28vDxGjBhBdHQ0mzdvZsqUKYwdO7bEfKm2bdsyb948Tpw4wdGjR3njjTeKjPjMnj2bP/74g3PnznHhwgVWrVqFk5MTVlZWD22vTZs2ZGRkFCsP0Lp1a6Kjozlz5gzNmzfXHlu2bJk2VwwgOTmZo0eP0q1btyd+DwBCQ0MJDAxk4MCBHD9+nMOHDzNkyBBatWpFcHBwsfPj4uL46KOPOHjwIJcvX2b79u1cvHhRmzc1efJklixZwrRp0zhz5gxnz55l+fLlxepg7d2795HToJWJDKZKacyYMURHR3PkyJGK7ookSdILJzw8nDlz5rB06VIsLS1RKpUsXbqUvXv3smDBgidqs127dvj6+tKyZUvCwsLo0aNHsZIBD5o1axbu7u60aNGCV199lXHjxhXJubKwsGD69OkEBwcTEhJCfHw8mzdvLjE4s7W1pXfv3ixbtqzI8cDAQKysrAgKCsLc3BwQwZRKpSqSL7Vx40YaNmyInZ3dE73++xQKBevXr8fa2pqWLVsSGhqKj48PK1aseOj5pqamnDt3jr59++Ln58fo0aMZM2YMr7/+OgAdO3Zk06ZNbN++nZCQEBo3bsw333xTJA/t4MGDpKamPnIatDJRaP49vig9UlpaGtWqVSM1NRVLS8uK7o4kSVKZ5OTkEBcXh7e392PzbKqyYcOGcffu3WJ1o563U6dO0b59e2JjY7WBU2n16NGD5s2bM2HChGfUu2cnLCyMevXq8fHHH5dru4/6/n6Wn99yZEqSJEmSKkjdunX5+uuviYuLK/NzmzdvzoABA55Br56tvLw8AgMDeffddyu6K+VGlkaQJEmSqpxHjfJs2bLlOfbk8YYNG/ZEz6uMI1Ig6ns9y30EK4IMpiRJkqQqJzIyssTHXF1dadGixfPrjFTlyWBKkiRJqnJq1KhR0V2QXiAyZ0qSJEmSJOkpyGBKkiRJkiTpKchgSpIkSZIk6SnIYEqSJEmSJOkpyGBKkiRJkiTpKchgSpIkSaoSpk6dSlBQ0DNrPz4+HoVC8ciyC8/LJ598wujRoyu6G49U3u/Xhx9+yFtvvVUubZU3uZ1MGf27HP2AAZuwtzdh/PgQ3N3l9jKSJOm2qrydTEZGBrm5udja2j6T9lUqFSkpKdjZ2aGvX3GVhW7cuIGfnx9RUVFF9rsrq927dzNo0CASEhLKsXeFyvv9unnzJj4+PkRGRuLj4/PQcypqOxlZZ+opFBSoWb78HAC//BJF3br21K1rj5GRkpSUbAYNqk23btUruJeSJEkvBnNz8zLvb1cWenp6ODk5PbP2S+uXX36hadOmTxVIAaxfv57u3buXU6+KK+/3y87Ojo4dO7JgwQJmzJhRbu2WBznN9xTu3s3Bzc0CpVJBdnYBERGJ/PzzKebNi2TFivOMGrW9yPmzZx8hNvZuxXRWkiTpcfIzxe3BCQtVnjhWkFvCueoHzs2/d25O6c4tg5SUFJycnPjiiy+0xw4cOIChoSE7d+4EyjbNN2zYMHr16sUXX3yBo6MjVlZWfPrppxQUFDB+/HhsbGxwc3Nj0aJF2uf8e9oqPDwchULBzp07CQ4OxtTUlKZNm3L+/Pli13nQO++8Q+vWrbX3V69eTWBgICYmJtja2hIaGkpmZmaJfV++fHmRIGjTpk1YWVmhUqkAUf1doVDw4Ycfas8ZOXIkgwYNKtLOhg0b6NGjx0OvsXjxYqysrNi2bRu1atXC3NycTp06kZiYqD1HrVbz6aef4ubmhpGREUFBQWzdurXE9+vOnTsMHDgQe3t7TExM8PX1LfL+JiQk0L9/f6ysrLCxsaFnz57Ex8cX6Vf37t1Zvnx5ie9NRZHB1FOwszMlIeF1cnPfJTr6NZYv78bHHzeiYUMnzMwMaNLEWXvu6dMpvP/+bmrU+IWGDZcyblw4f/55gVOnksnJKajAVyFJknTPXHNxy75ZeOzIDHHsn7FFz/3eQRxPu1J4LHK+OLZtRNFzf/YSx2+dLTx2ZnGZumZvb8/ChQuZOnUqR48eJT09ncGDBzN27FjatWtXprbu++eff7h+/Tp79uxh9uzZTJkyhW7dumFtbU1ERARvvPEGr7/+OlevXn1kOxMnTmTWrFkcPXoUfX19hg8fXuo+JCYmMmDAAIYPH87Zs2cJDw+nT58+lJSBc/v2baKjowkODtYea9GiBenp6Zw4cQIQ03d2dnaEh4drz9m9e3eRAO7MmTMkJyfTtm3bEvuWlZXFzJkzWbp0KXv27OHKlSuMGzdO+/i3337LrFmzmDlzJqdOnaJjx4706NGDixcvPrS9Tz75hOjoaLZs2cLZs2dZsGABdnZ2AOTn59OxY0csLCzYu3cv+/fv1wZweXl52jYaNmzI1atXiwVZFU1O8z2F69czcHAwRV9fSa1attSqZUtYWE0+/1zs+VRQUPhXWFTUTfT0FKhUGo4cSeLIkSRmzSpsa9iwABYt6gyg/SFSKBTP78VIkiTpuC5dujBq1CgGDhxIcHAwZmZmfPnll0/cno2NDXPnzkWpVOLv78/06dPJysri448/BuCjjz7iq6++Yt++fbzyyisltvP555/TqlUrQCRJd+3alZycnFLlpCUmJlJQUECfPn2003aBgYElnn/lyhU0Gg0uLi7aY9WqVSMoKIjw8HCCg4MJDw/n3XffZdq0aWRkZJCamkpMTIy2jyCm+Dp27IihoWGJ18rPz+eHH36genWRrjJ27Fg+/fRT7eMzZ87kgw8+0L43X3/9Nbt27WLOnDnMnz//oX2vX7++NhD08vLSPrZixQrUajW//PKL9rNv0aJFWFlZER4eTocOHQC0r/vy5ctFnl/RZDD1FAIDF5Oamou7uwVeXtXw9hY3Ly9LPD0tMTU1wNBQD0NDJQ0bOnPp0kgSEtK5cOEOhw/fYP/+a0RFib8AbW0Lf+iWLDnD66//TYMGjnzzTRsaNHDAwECvol6mJEkvirczxL/6poXHQsbDS++A4l8fF28m3zvXpPBY0BioOwoU//p9NSq++LkBw56oizNnzqROnTqsWrWKY8eOYWRk9ETtAAQEBKBUFk7QODo6UqdOHe19PT09bG1tSU5OfmQ7devW1X7t7CxmJJKTk/Hw8HhsH+rVq0e7du0IDAykY8eOdOjQgX79+mFtbf3Q87OzswGKBWqtWrUiPDyc999/n7179/Lll1+ycuVK9u3bx+3bt3FxccHX11d7/vr16xk79l+jjf9iamqqDaTuv7b770VaWhrXr1+nWbNmRZ7TrFkzTp48+dD2/vOf/9C3b1+OHz9Ohw4d6NWrF02bNgXg5MmTxMTEYGFhUeQ5OTk5xMbGau+bmIjvoaysrEf2/XmTwdQTyszMIzMzH5VKQ3x8GvHxaYSHl25FhJGRHkFBDrRu7c6YMfW5ezeHfv38tI//+edFcnNVHDx4ncaNl2Fqqk/z5m4oFNCxoxevv14XU9OS/5qQJEl6IgZmxY/pGYpbqc41ELfSnvsEYmNjuX79Omq1mvj4+EeO4jyOgUHRPigUioceU6vVPMqDz7k/qnL/OUqlstiUXX5+Yb6Ynp4ef//9NwcOHGD79u189913TJw4kYiICLy9vYtd6/602J07d7C3t9ceb926NQsXLuTkyZMYGBhQs2ZNWrduTXh4OHfu3CkyKpWYmMiJEyfo2rVrqV/X/df2NAUAOnfuzOXLl9m8eTN///037dq1Y8yYMcycOZOMjAxeeuklli1bVux5D77O27dvFzumC2Qw9YTMzAzJynqHGzcyiYtLJT4+9d6/acTFpZKQkE5ubgF5eWry8lT3buLr3FwVERGJREQUJvJ9+eVhGjVyZtSoQKZMaYKrqzlnztzk9Olb3L6dw/bt8QBs2xaPpaUhI0aIv4Q0Go2cDpQk6YWQl5fHoEGDCAsLw9/fn5EjRxIVFYWDg0NFd61E9vb2nD59usixyMjIYgFYs2bNaNasGZMnT8bT05O1a9fy3nvvFWuvevXqWFpaEh0djZ9f4R/h9/OmvvnmG23g1Lp1a7766ivu3LnD+++/rz1348aNNG3aFBsbmyd+XZaWlri4uLB///4igdr+/ftp2LBhic+zt7dn6NChDB06lBYtWjB+/HhmzpxJgwYNWLFiBQ4ODo8sW3D69GkMDAwICAh44r4/CzKYegpKpQIXF3NcXMxp1sy1VM/RaDRcupTK4cOJHD58g8OHEzl+PJnU1Fy2b49n+/Z4/PysmTChId980wYDAz2io2+yZs1Ffv31NAkJGbz8sr+2vcaNl3H69E169qzB2LH1adTIGT09ua5AkqSqZ+LEiaSmpjJ37lzMzc3ZvHkzw4cPZ9OmTRXdtRK1bduWGTNmsGTJEpo0acJvv/3G6dOnqV+/PgARERHs3LmTDh064ODgQEREBCkpKdSqVeuh7SmVSkJDQ9m3b1+RVYLW1tbUrVuXZcuWMW/ePABatmxJ//79yc/PLxLwPGoVX1mMHz+eKVOmUL16dYKCgli0aBGRkZEPHV0CmDx5Mi+99BIBAQHk5uayadMm7escOHAgM2bMoGfPntoVgpcvX+bPP/9kwoQJuLm5AbB3715atGihne7TFS/sp25WVhaenp5FViY8DwqFgurVrRgwoBbffNOG/ftfJS3tLU6cGMInnzTG2tqYCxfuMHLkNqpX/4U5c47h5VWNKVOacunSaLKy/oulpcgRUKnUHD+eTFZWAX/8cY5mzf7A3v57OnZcRf36vzJr1pGnGpKVJEnSFeHh4cyZM4elS5diaWmJUqlk6dKl7N27lwULFlR090rUsWNHPvnkEyZMmEBISAjp6ekMGTJE+7ilpSV79uyhS5cu+Pn5MWnSJGbNmkXnzp1LbHPkyJEsX7682PRjq1atUKlU2lV7NjY21K5dGycnJ/z9xR/hmZmZ7Ny5s1yCqbfffpv33nuP999/n8DAQLZu3cqGDRuK5GY9yNDQkI8++oi6devSsmVL9PT0tGUOTE1N2bNnDx4eHvTp04datWoxYsQIcnJyioxULV++nFGjRj1138vbC1sBfeLEicTExODu7s7MmTNL/bxnWUEVID09j59+Osns2ce4fl0kg1pbG/Pmm0G8/nrdIlXWNRoNhw8nsnjxGZKTM9m16yp37hTWd9HXV5KT844cqZIkSasqV0B/UWg0Gho1asS7777LgAEDyvTcP//8k0mTJhEdHf2MevfsbNmyhffff59Tp06VWFG9oiqgv5CfshcvXuTcuXOPjPwrioWFIe+/H8KlSyP5+ecO+Ppac+dODp9/fggvr5/p3XsdO3Zc1uZKNWrkwoIF7VmzphfJyW+yf/8A/vOferi4mNOypZs2kMrOzsfefj69eq0jKiqlgl+lJEmS9KQUCgU//fQTBQVlr1Fobm7O119//Qx69exlZmayaNGiCt3KpyQ6NzK1Z88eZsyYwbFjx0hMTGTt2rXFqsfOnz+fGTNmcOPGDerVq8d33333yIS3f+vZsyczZszgwIEDnD59WqdGpv5NpVKzbl0M8+efYNeuwtWCfn7WvPlmEEOHBmBl9fC/LvPzVdqSCl98cYiJE/dpHwsIsKVvXz+aN3elbVsPOXolSS+IF2Vk6lHbymzZsoUWLVo8x95Iz4vcm++ezMxM6tWrx/Dhw+nTp0+xx1esWMF7773HDz/8QKNGjZgzZw4dO3bk/Pnz2hUdQUFBD43Yt2/fzpEjR/Dz88PPz48DBw4889fztPT0lPTt60ffvn5ER9/k++8jWbIkmgsX7vDOO7t4//1wHBxMcXQ0w8np/r9mODqa4uRkhrOzuN+5sxcnTiQRHX2bCxfucObMLc6cOXjvGgpmzGjFu+8GP7ozkiRJlcT9LUwextW1dAuGJKm0dG5k6kEKhaLYyFSjRo0ICQnRrlZQq9W4u7vz1ltvFdmHqCQfffQRv/32G3p6emRkZJCfn8/777/P5MmTH3p+bm4uubmFe1KlpaXh7u7+3EamHiY9PY/ffotm/vwTnDlzq9TPMzLSw8nJDC+vagQE2HLhwm127BBbQaxf34sePWoAsHr1eRITMxk9ui5GRjoXb0uS9BRelJEp6cVUUSNTlSqYysvLw9TUlNWrVxcJsIYOHcrdu3dZv359mdpfvHjxY6f5pk6dyrRp04odr8hg6j6NRkNiYiY3bmSSlHT/3yxu3Cj8+v7jqam5xZ7v6WnJyJGBqFRqPv64sXZK0MfnJ+Li0nBxMeeDDxoSFuaPo+NDiu5JklTpyGBKqsrkNF8p3Lx5E5VKhaOjY5Hjjo6OnDt37plc86OPPipSOO3+yJQuUCgK61w9TnZ2vja42rYtjvnzI7l8OY1PPtmPhYUhaWl5vP12Azw8LLGwEKUXrl/P4L///Yf33ttFw4ZOWFsbM2FCQ1q10o3XL0mSJEm6oFIFU+Vt2LBhjz3HyMjoqfZ+0hUmJgZ4eVXDy6saTZq48MEHDVm27CyzZx/l7NnbzJ59jDlzjtOzZw2++qoFdeva8eefMfz2WzSHD9/g4EFRrX3Pnqukpb2trbquUqll8rokSZL0QqtUn4J2dnbo6emRlJRU5HhSUhJOTk4V1KvKycTEgJEj63L69Gts2dKX9u09Uas1rF17kS5d/qRp0z+4cyeHNWt6cuHCCAYOrIW5uQFt23poA6nExAwsLOby6qubyM7Of8wVJUmSJKlqqlTBlKGhIS+99BI7d+7UHlOr1ezcuZMmTZo802vPnz+f2rVrExIS8kyv87wplQo6dfJm+/aXOXNmGO+88xLW1sZcuZLOlCkH8PT8iffe20VoqCdLlnRmxIhA9u+/xokTSXzyyT6ys0X19fr1l/DFF4e4ciWtol+SJEmSJD1XOpeAnpGRQUxMDAD169dn9uzZtGnTBhsbGzw8PFixYgVDhw7lxx9/pGHDhsyZM4eVK1dy7ty5YrlUz8LzrjNVEXJyCliz5gI//3yK3buvlvn5Li5mDB9ehwkTGmFh8ZDd5iVJqjBVOQF96tSprFu37pFlEcqidevWBAUFMWfOnHJp72Hy8vKoXbs2S5YsoWnTpiWeN2zYMO7evcu6deueWV+eRuPGjRk/fjx9+/at0H7IBPR7jh49Sps2bbT37yd/Dx06lMWLFxMWFkZKSgqTJ0/mxo0bBAUFsXXr1ucSSL0ojI31GTiwNgMH1ubcuVv83/9FceKE2AMwMzOfrKz8e/8WkJ6eh1pdNB6/fj2T//0vgsaNXejatXoFvQpJkl4048aN46233qrobpTJDz/8gLe3tzaQio+Px9vbmxMnThAUFFSxnSuDSZMm8e6779K7d2+Uyko16VUudC6Yat269WM35x07dixjx459Tj16sdWsacuMGa1LfDwrK5+//77M+vUxbNoUS0pKtvaxsLBNjB5dl3feeYmePddiZWXMpEmNi+RdSZIklRdzc/NHVj7XNRqNhnnz5vHpp59WdFdKlJeXh6Hh42cYOnfuzMiRI9myZQtdu3Z9Dj3TLS9e+CiVK1NTA3r2rMHChZ1ITPwP+/YNYMKEEHx9rcnMzOebb45RvfrPREamEB6eQGjoKmrU+IVJk/Zx5szNiu6+JEmVREpKCk5OTnzxxRfaYwcOHMDQ0FCbRzt16tRSj+YMGzaMXr16MW3aNOzt7bG0tOSNN94gLy+vxOcoFIpi02xWVlYsXrwYEIHH2LFjcXZ2xtjYGE9PT7788ssS2zt27BixsbFFgg9vb29ApLkoFApat25d5DkzZ87E2dkZW1tbxowZQ35+4eKf3Nxcxo0bh6urK2ZmZjRq1Ijw8PAiz1+zZg0BAQEYGRnh5eXFrFmzijzu5eXFZ599xpAhQ7C0tGT06NG0bdu22ABGSkpKkfdeT0+PLl26sHz58hJfb1WmcyNTumr+/PnMnz8flUpV0V3RWXp6Spo1c6VZM1e++qol27bFM3364SJ7CurpKbh0KZXPPz/E558fwtbWmA8+aMT48VUrsV+SKhONRkNWVsWsyDU1NSjVSLW9vT0LFy6kV69edOjQAX9/fwYPHszYsWNp167dE117586dGBsbEx4eTnx8PK+99hq2trZ8/vnnT9Te3Llz2bBhAytXrsTDw4OEhAQSEhJKPH/v3r34+flhYWGhPXb48GEaNmzIjh07CAgIKDIqtGvXLpydndm1axcxMTGEhYURFBTEqFGjADFrEx0dzfLly3FxcWHt2rV06tSJqKgofH19OXbsGP3792fq1KmEhYVx4MAB3nzzTWxtbYuUCpo5cyaTJ09mypQpAERERDB27FhmzZqlLRX022+/4erqStu2bbXPa9iwIV999dUTvXeVnQymSmnMmDGMGTNGm8AmPZpCIVYJdurkzZEjiUyffoQ1ay6gUhWdwr11K4dJk/Yxf/4JLCwMqVXLht69fQkLq4lSKacCJel5yMrKx9x8boVcOyPjbczMSrdQpUuXLowaNYqBAwcSHByMmZnZI0d+HsfQ0JCFCxdiampKQEAAn376KePHj+ezzz57oryfK1eu4OvrS/PmzVEoFHh6ej7y/MuXL+Pi4lLkmL29PQC2trbFSv5YW1szb9489PT0qFmzJl27dmXnzp2MGjWKK1eusGjRIq5cuaJtc9y4cWzdupVFixbxxRdfMHv2bNq1a8cnn3wCgJ+fH9HR0cyYMaNIMNW2bVvef/997X1XV1fGjh3L+vXr6d+/PyB2EBk2bFiRQNjFxYWEhATUavULlzf1Yr1aqUKEhDizalUPLlwYwRtv1MPauugKi7w8FZcvp3H69E1WrbrAq6/+hbHxN3TtuoYjRxIrqNeSJOmimTNnUlBQwKpVq1i2bNlTFVWuV68epqam2vtNmjQhIyPjkaNJjzJs2DAiIyPx9/fn7bffZvv27Y88Pzs7u0wrKgMCAtDT09Ped3Z2Jjk5GYCoqChUKhV+fn7a3DFzc3N2795NbGwsAGfPnqVZs2ZF2mzWrBkXL14sMusSHFx003tjY2MGDx7MwoULATh+/DinT58uVvjaxMQEtVpdZD/bF4UcmZKemxo1rFmwoD0LFrRHrdaQkZFHenoeaWni39u3c+jTZz3Z2QXk56vZvDmOzZvjsLQ0xN3dgnfeacCIEXVl8roklTNTUwMyMt6usGuXRWxsLNevX0etVhMfH09gYOAz6llxCoWi2AKpB3OWGjRoQFxcHFu2bGHHjh3079+f0NBQVq9e/dD27OzsiIqKKvX1DQyKvlcKhQK1Wg2IskJ6enocO3asSMAFlDkp38ys+F6sI0eOJCgoiKtXr7Jo0SLatm1bbOTt9u3bmJmZYWJiUqbrVQUymJIqhFKpwNLSCEtLI1xdC48fPTqI1asvEBWVwvbtl0lLE8HWmTO3GDXqbzZtusSAAbXo1MkbU1N97ebMkiQ9OYVCUeqptoqUl5fHoEGDCAsLw9/fn5EjRxIVFYWDg8MTtXfy5Emys7O1H/6HDh3C3Ny8xP1X7e3tSUwsHC2/ePEiWVlZRc6xtLQkLCyMsLAw+vXrR6dOnbh9+zY2NjbF2qtfvz4LFixAo9Fo/0i8nyNV1vzc+vXro1KpSE5OpkWLFg89p1atWuzfv7/Isf379+Pn51csAPu3wMBAgoOD+fnnn/n999+ZN29esXNOnz5N/fr1y9TvqkIGU6UkE9Cfj9q17Zg82U57Pzz8Cu+/H05kZDJqNaxfH8v69bHo6ytRqzWYmurz2mt1eO21OgQFOchRK0mqwiZOnEhqaipz587F3NyczZs3M3z4cDZt2vRE7eXl5TFixAgmTZpEfHw8U6ZMYezYsSXm+7Rt25Z58+bRpEkTVCoVH3zwQZHRotmzZ+Ps7Ez9+vVRKpWsWrUKJycnrKysHtpemzZtyMjI4MyZM9SpUwcABwcHTExM2Lp1K25ubhgbG5cqT9fPz4+BAwcyZMgQZs2aRf369UlJSWHnzp3UrVuXrl278v777xMSEsJnn31GWFgYBw8eZN68eXz//feler9GjhzJ2LFjMTMzo3fv3sUe37t3Lx06dChVW1WNzJkqpTFjxhAdHc2RI0cquisvlNatPTh2bAh5ee+xZ88rTJgQQq1aNhQUqO9NFebz3XcnaNBgKQYGs3FwmE/z5n8we/YRzp27VdHdlySpnISHhzNnzhyWLl2KpaUlSqWSpUuXsnfvXhYsWPBEbbZr1w5fX19atmxJWFgYPXr0YOrUqSWeP2vWLNzd3WnRogWvvvoq48aNK5JzZWFhwfTp0wkODiYkJIT4+Hg2b95cYnBma2tL7969WbZsmfaYvr4+c+fO5ccff8TFxYWePXuW+vUsWrSIIUOG8P777+Pv70+vXr04cuQIHh4egJiGXLlyJcuXL6dOnTpMnjyZTz/9tFjuU0kGDBiAvr4+AwYMKJbrde3aNQ4cOMBrr71W6v5WJTq3nYyuexG2k6kMzp+/xZdfHmbr1jhu3cqmoODh38YtWrjx1lv1sbExpmlTF0xMypafIUlVTVXeTqYsdGV7llOnTtG+fXtiY2N1vuBofHw81atX58iRIzRo0KDIYx988AF37tzhp59+qqDeCXI7GUkqA39/WxYv7gyIGjnx8amsWXOBGTOOkpychZubOUlJWezde5W9ewv3F2zQwIGmTV0JDnbE27sajRs7Y2gofwwkSaoYdevW5euvvyYuLu65JtOXRX5+Prdu3WLSpEk0bty4WCAFYnry/vZvLyL5KSJVegqFAm9vK8aNa8i4cQ3JzS3AyEifa9fS+e67E3zzzVHy8sSKl+PHkzl+PLnI88ePD2H69FYApKfnUlCgxtr6xVuNIklVyaNGebZs2fIce/J4pZ1mqyj79++nTZs2+Pn5lbgy8cG6VC8iOc1XRnKar/JJT8/j22+P8f33kSQmZhZ73MHBlIAAWzw8LImKSuH48WSqVTOkWTNXAgPtCQy0o3p1Kxo0cMTQUK4elCq3F2WaLyYmpsTHXF1dX8jl+y+Ciprmk8FUKT24mu/ChQsymKqECgrUrFlzgR9+OMm5c7e5caN4YPU4ixd3YuhQseomJSWLO3dyqF7dCj09uZZDqhxelGBKejHJYKqSkCNTVUdenopr19K5ciWdhIR0rlxJY/36GA4fvqE9x9PTEqVSQVxcKgD79g2gWTNRGKtZs985cOA6hoZKGjZ0JiTEieBgRxo2dKZ6dStZpkHSSTKYkqoymYAuSc+ZoaEe3t5WeHtbaY999FEj9u+/xsyZR9mwIYbLl9MAkbhet649iYkZxMTcwdu7GrGxdwHIy1Ozb9819u279kDbSvbuHUDDhs7P8yVJkiRJFUAGU5L0AIVCQfPmbjRv7sb587eZPfsov/56Rpu4vnjxGQCMjfWpUcOKWrVsCQqyx9PTkpiYu2zeHEdcXCp5eWp8fAoL7dWr9yuJiRn06eNHnz6+NG3qgrm57lecliRJkh5PTvOVkZzme/EkJ2eydGk0J04kc+bMLc6evUVubtFK+AoFtGzpRp8+vnh7W5GamsugQbUBMZ1oYjIHtbrwR83QUI+GDZ2oU8eO9957CV/f4ltNSNKzIKf5pKpM5kxVEjKYklQqNZcupXLmzE1On77Jtm3xRab49PWVtG/vyYABNenVyxcTE33++OMs69bFYGamz54917TTh+J8BZmZ78iVgtJzIYMpqSqrqGBKLkGSpDLS01Pi62tNr16+TJrUhL17B3D58mimT29J/foOFBSo2bIljiFDtuDo+D2DB2/GxsaY5cu7sWRJV+LiRhEd/Rrt23tiYKCkcWMXbSB161Y27u4/Eha2kQMHrhXboV6SpJJNnTqVoKCgZ9Z+fHw8CoWCyMjIZ3aN0vrkk08YPXr0I88JDw9HoVBw9+7d59OpMvrhhx/o3r17RXejXMiRqTKSI1PS45w/f5s//jjL77+f4+LFO9rjdnYm9O/vz6BBtWnc2BmFQoFKJfYYNDAQwdSkSXv5/PMI7XM8PCx4+WV/wsL8CQ52kisEpadWlUemMjIyyM3NxdbW9pm0r1KpSElJwc7ODn39iks5vnHjBn5+fkRFReHp6QlA69atCQoKYs6cOdrzwsPDadOmDXfu3Clxs+WKlJeXh7e3N8uXL6dFixbl0qZczafjHqwz9URy0yBuM1zaBAo9qNETvDqBgenjnytVKv7+Nkyd2owpU5py9OgNli07y/Ll50hKyuL77yP5/vtI7O1NCAiwo3ZtW2rVsqF2bTtq1bKhQwdP9u+/TlZWPtHRt7hyJZ1Zs44ya9ZR7OxMmDu3LQMG1KrolyhJOsnc3PyZ7m+np6eHk5PTM2u/tH755ReaNm2qDaR0TV5eHoaGj19gY2hoyKuvvsrcuXPLLZiqKHKar5TGjBlDdHQ0R44cKf2TspLh1C/wZxdYYA9/DYCzyyB6CWzoC9/bw4Z+cPZ3EWxJVYpCoSAkxJk5c9py9eobbNvWj8GDa2NmZkBKSjbh4Ql8/30kb731D+3arcTF5Qd6995AjRpWfPttW5KS/sOaNT1o1coNgJs3szEzK9yoOSLiOleupFbUy5Ok5yolJQUnJye++OIL7bEDBw5gaGjIzp07gbJN8w0bNoxevXrxxRdf4OjoiJWVFZ9++ikFBQWMHz8eGxsb3NzcWLRokfY5/57muz+NtnPnToKDgzE1NaVp06acP3++2HUe9M4779C6dWvt/dWrVxMYGIiJiQm2traEhoaSmVlyUeHly5cXmR4bNmwYu3fv5ttvv0WhUKBQKIiPj9c+fuzYsRL7B7B+/XoaNGiAsbExPj4+TJs2jYKCAu3jV65coWfPnpibm2NpaUn//v1JSkrSPn7/ff/ll1+0I0JLlizB1taW3NzcItfq1asXgwcP1t7v3r07GzZsIDs7u8TXWxnIkanylnUTLqyC88vh2j7QqAsfs/YH396gyoOLayDtsvj34hrQMwTPDtBqJtj4V1z/pWdCX19Jhw5edOjgxY8/5nPmzC2io8XKwOhocbt0KZXbt3P45Zcofvklilq1bBg+PJA5c9qwdm0M0dG36NzZW9tm797rSUzMpEkTF9599yW6dvXB1NTgEb2QpBJoNFCQVTHX1jcVy2Efw97enoULF9KrVy86dOiAv78/gwcPZuzYsbRr1+6JLv3PP//g5ubGnj172L9/PyNGjODAgQO0bNmSiIgIVqxYweuvv0779u1xc3MrsZ2JEycya9Ys7O3teeONNxg+fDj79+8vVR8SExMZMGAA06dPp3fv3qSnp7N3794S8yVv375NdHQ0wcHB2mPffvstFy5coE6dOnz66aeAeL/uB1SP6t/evXsZMmSIdnQoNjZWm4s1ZcoU1Gq1NpDavXs3BQUFjBkzhrCwMMLDw7V9iImJYc2aNfz555/o6enh6+vL22+/zYYNG3j55ZcBSE5O5q+//mL79u3a5wUHB1NQUEBERESRALOykcFUecjPgtiNcPY3iN8K6sKIHseXoEZv8O0Dtg9Mz7SaCcknRCB1YQ3cOS+mAK/tgx5rwKPt838d0nNhYmJAcLATwcFFpwtycgo4dOg6ixadZtWqC5w9e5vx43ejr6+kWzcfhg8v3FE+N7eAtLQ8AA4evM7Bg9cxMzOgVSs3WrZ047//bYCxsQyspFIqyIK5z2567JHezgADs1Kd2qVLF0aNGsXAgQMJDg7GzMyML7/88okvbWNjw9y5c1Eqlfj7+zN9+nSysrL4+OOPAfjoo4/46quv2LdvH6+88kqJ7Xz++ee0aiU2S//www/p2rUrOTk5pcpJS0xMpKCggD59+min7QIDA0s8/8qVK2g0GlxcXLTHqlWrhqGhIaampg+dhnxU/6ZNm8aHH37I0KFDAfDx8eGzzz5jwoQJTJkyhZ07dxIVFUVcXBzu7u4ALFmyhICAAI4cOUJISAggpvaWLFmCvb299rqvvvoqixYt0gZTv/32Gx4eHkWCJlNTU6pVq8bly5cf+17pMhlMPSm1CuL/hnPLRDCUn1H4mEMDqDUQ/PqBpcfDn69QgGMDcWv2P7gVDdtHQeJBWNMRQn+EwOHP57VIOsHYWJ/WrT1o3dqD775rx/Ll51i48DQREYmsWxfDunUxODiYMmhQLYYNq0NGxn/ZujWO8PAEVqw4R3x8Gps3x7F5cxxffXWY27fHyoR1qcqZOXMmderUYdWqVRw7dgwjI6MnbisgIAClsjDbxdHRkTp16mjv6+npYWtrS3Jy8iPbqVu3rvZrZ2ex60FycjIeHiX8/n9AvXr1aNeuHYGBgXTs2JEOHTrQr18/rK2tH3r+/emwsiweeFT/Tp48yf79+/n888+156hUKnJycsjKyuLs2bO4u7trAymA2rVrY2VlxdmzZ7XBlKenZ5FACmDUqFGEhIRw7do1XF1dWbx4McOGDSv2e8nExISsrAoaGS0nMph6UlnJIujh3lCspZcIoGoNLDoCVRoKBdgFQP9/YOtrYopw+wi4cwFafAEKmdr2orG0NGL06HqMHl2PM2dusnBhFL/9dpbk5Cxmzz7G7NnHaNDAkWHDAhg3Lpgvv2zB4cM3GD16O1FRKbRu7a79hXXs2A369dtAmzYeTJrUGB8fq4p9cZLu0TcVI0QVde0yiI2N5fr166jVauLj4x85ivM4BgZFR28VCsVDj6nVah7lwefc/7m7/xylUllsyi4/P1/7tZ6eHn///TcHDhxg+/btfPfdd0ycOJGIiAi8vb35Nzs7OwDu3LlTLHh5kv5lZGQwbdo0+vTpU+x5ZQnYzMyKjy7Wr1+fevXqsWTJEjp06MCZM2f466+/ip13+/btUr8WXSWDqSdl7gx+L4OJrQigXJqWat7/kfSNoevvYO0Hhz6FI1/D3YvQealc9fcCCwiwY9asNnz1VUu2bo1n8eLTbNwYy/HjSRw/nsR774UTHOxIq1bufPVVC+rUscfSsvCX58KFp4mPT2PRotMsWnQaf38bOnf2xsBAQffu1Wne3E2OYL3oFIpST7VVpLy8PAYNGkRYWBj+/v6MHDmSqKgoHBwcKrprJbK3t+f06dNFjkVGRhYLcJo1a0azZs2YPHkynp6erF27lvfee69Ye9WrV8fS0pLo6Gj8/Py0xw0NDZ9otXmDBg04f/48NWrUeOjjtWrVIiEhgYSEBO3oVHR0NHfv3qV27dqPbX/kyJHMmTOHa9euERoaWmSEC0RwnJOTQ/369cvcd10ig6mn0X1F+bepUECzaWDtK0anLv4JaVeg1wYRwD0pjQbyMyHnNhiYg4ncvqSyMTDQo3v36nTvXp2bN7P4449zLF58huPHkzh0KJFDhxL5+uvDKJUKGjRwoFUrd1q1cqd1azfOnr1FUlIWFy7c4fz525w/fxuAGTOOMmlSYz77rDkAd+5kk5enxsHBVAZYks6ZOHEiqampzJ07F3NzczZv3szw4cPZtGlTRXetRG3btmXGjBksWbKEJk2a8Ntvv3H69Glt8BAREcHOnTvp0KEDDg4OREREkJKSQq1aD5/hUCqVhIaGsm/fviKrBL28vIiIiCA+Ph5zc3NsbEr3O37y5Ml069YNDw8P+vXrh1Kp5OTJk5w+fZr//e9/hIaGEhgYyMCBA5kzZw4FBQW8+eabtGrVqkgSfEleffVVxo0bx88//8ySJUuKPb537158fHyoXr16qfqrq+T8ka6qPQj67QBjW0g6Cgv9YNc7cPfSo5+nyodLf8GWobCiFSyuAz+4wLfG8J0F/OwJCxzg8NciwJIqJTs7U956qwHHjg0mLm4Uixd34rXX6uDjUw21WsPRo0nMmnWUHj3WEha2iVu3cmjb1oNffunATz+159VXa2rLLLRpU5jXERa2CSenBVhazqVt2xW8/fZOFiw4wV9/xZKWlltSdyTpmQsPD2fOnDksXboUS0tLlEolS5cuZe/evSxYsKCiu1eijh078sknnzBhwgRCQkJIT09nyJAh2sctLS3Zs2cPXbp0wc/Pj0mTJjFr1iw6d+5cYpsjR45k+fLlRaYfx40bh56eHrVr18be3p4rV66Uun+bNm1i+/bthISE0LhxY7755httMrxCoWD9+vVYW1vTsmVLQkND8fHxYcWK0g0mVKtWjb59+2Jubl6sRATAH3/8wahRo0rVli6TFdBL6cGinRcuXHh+FdDvxMDGlyElUtxXKKF6T3jpPXBtJkayNBpIjhT1q879LvK5SqLUL1xtWL0ndFoMxlbP9jVIz9XVq+ns3p3A7t1X2bPnqnYU6kH3p/ratHGnbVt3zM1FEq+T0/ckJZWcCLp5cx86d/YBRJ0rQ0M96tVzQKmUo1iVRVWugP6i0Gg0NGrUiHfffZcBAwZUdHceq127dgQEBDB37twix8+cOUPbtm25cOEC1apVK5dryY2OK4kK2U5Go4HL2+HYNxC/rfC4YzB4d4KYdXDzgTl5Uweo+So4NxY5Xca2YlrP2FbkRUT9DP+8JepdWVWH7mvAod7zeS3Sc5eUlMnevSKw2rPnKqdOpRQZlDQ11Sc01JMuXXxo3dqNmzezyctTceVKOqdP32THjstERqYAcOnSSLy9rQDw8vqJy5fTMDLSo3lzV9q08aB1azcaNnTWbo8j6R4ZTFUNkZGRREVFFSmAqWvu3LlDeHg4/fr1Izo6Gn//ojUUd+zYgUqlomPHjuV2TRlMVRIVvjffrWg4NkeMQqkemHbRMxIjTQFDRPFPvcfUGLpxFDb2E4VD9Y2h3QKoM+xZ9lzSEbdvZ7NrVwJbtsSxefMlEhOLVlquW9eenj2r07NnDRo0cEShUJCZmcelS3epU8dem0tlbz+fmzeLVy1WKKB6dSv27HkFZ+cKql0klehFCaYeta3Mli1bKv32JZWBl5cXd+7c4ZNPPmHcuHHP5ZoymKokKjyYui8rBU7+ADdPieDJ7+WyT9dl34YtgyBui7gfOArafAsGJqV7vkYD2SlixEspRyIqI41Gw8mTKWzefInNm+M4ePA6anXhrwR3dwt69BCBVatW7hgaFv1/TknJ4tq1dPbvv84//1zhr78ukZurQl9fSVbWf7UjVB9+uId27dxp3774Um/p+XpRgqmYmJgSH3N1dcXEpJS/56RKRQZTlYTOBFPlRaOGQ5/DgSmABkzsoPZQqDuq5G1tcu5A9G9iuvBmFFTzgfpvQZ3hYFQF3pMX2K1b2fz11yXWr49h69Y4srIKq/lXq2ZE587e9OxZg86dvalWrXixxNu3s/n11zOoVGrGjWsIQFzcXXx8fgHA39+agQNrExbmj5+fXFFaEV6UYEp6MclgqpKocsHUffF/w7bhkHG18JhbSzFa5dtXTAVe3SMCqAuri04x3mdoAQGvicDK+uE1S6TKIzs7n507r7B+fQwbNsSSnFyYmG5goKR1a3d69qxBjx7VcXcv+Wdhz54Eevdez507OUVytVxdzWnQwIHp01tRs6bts3wp0gPuf9h4eXnJ0RmpysnOziY+Pl4GU7quygZTIFb5xW2BUz9D3F+FmzQbWYkRq7sPDJvb1xWBVo3eYk/B49/C7bP3HlSATzcIGScCMqnSU6nUREQksn59DOvXxxZbIfjSS4706lWD3r19qV3b9qE1qm7ezOKvvy6xfPk5tm+P5/6q7i5dvPnrr76AmHaU9a2erfsrkh0cHLC1lUGsVLXcunWL5ORk/Pz80NMrmpYggykdUqWDqQelX4XTi+D0/4kkdRDFPmsOEFOAjsFFK75rNHD5bxFUxW0uPO7bF1rPLnmPQqlSOn/+9r3AKoaDB68XGXGqUcOKXr1q0KuXL40bO6OnV7yc3eXLaXz44W7++iuO9et7aWtdvfvuP2zYEMvHHzdixIi6xZ4nlY/ExETu3r2Lg4MDpqayQKtU+Wk0GrKyskhOTsbKykq7B+GDZDClQ16YYOo+tQoSdonK6d5dwLAUq7NunxdlHKJ+FqNb+qbQeCK89D7oP2RT0tw0Uen94hoxAtZkClTzKveXIj0bSUmZbNwYy7p1MezYcZnc3MItLRwdTenXz49XXqlJ06auxepR3f/1c//D3M5uHrdu5QBQv74Dffv60a2bN66uFtjZyS2VyotGo+HGjRvcvXu3orsiSeXKysoKJyenh/6BIIMpHfLCBVNPI+UU7BwL1/aK+9a+0GauqI2lyhc1s87+BrHroSCn8Hn6xhDyIYRMKP3KQkknpKfnsW1bHOvWxbBp0yVSUwtz69zcLOjf34+wsJqEhDz8l9233x5j3rwTxMbeLVagPyTEiYMHX33oSJf0ZFQqVZFNdyWpMjMwMCg2tfcgGUzpEBlMlZFGI6qy7x4HmTfEMdcWol5Wzq3C82xqiinEhHAxEgZg6QWtv4EaPZ9+E2npucvLU7Fz52WWLz/HunUxpKXlaR/z9q7GwIG1GDy49kNX9d28mcX69bGsWXOBbdviUKvBwsKAtLT/AqBWa6hVayEeHpZMm9aURo0ePp0oSZJ0nwymdECFbSdTVeSmwcFP4cS3hdvZmDmJAKrWIHCoX7g1zoVVEP5+4cpCzw7Qdm7JpRoknZeTU8DWrXGsWHGeDRtiipRcaNzYmSFDAggL88fGpvhI5N27Ofzf/0Vx926udkPm6OibBAQs1p5jZmZAgwaOGBgoUShg5Mi6vPJKzWf+uiRJqjxkMKVD5MjUU7oVDTEbwLEBeLQVewU+TH4mRHwBR2eKbW8USrH1jW1A4c0uAKz9H56HJemszMw8Nm68xNKlZ9i2LR6VSvwKMjTUo1s3HwYMqEloqCdWViXXQLpxI4PXX/+b6Ohb3LiRSUZG0akqPz9rzp8fob3e//53iMGDa1Or1sNXGkqSVPXJYEqHyGDqObsTA+HvivILD6PQE6UblPqiCrtC/97X+iKZ/aX3wLePnCbUUTduZPLHH2dZsiSayMjCDbr19BQ0auRMhw5edOzoRUiIU4nTeCqVmnPnbnP06A1WrDhPZGQyPXtWZ8GCDgD89ls0gwdvRl9fyX/+U49u3arTqpUbRkYlBPKSJFVJMpjSITKYqiAZiXDrjLjdPFP4dW7q45/r0hRazQKXxs++n9ITO3UqhaVLz7Bp0yXOnStax8ra2pjQUA9atnSjeXM3AgPtSp0j9c03R3n//fAiCe1mZgZYWBjQvLkr333XDicnuYegJFV1MpjSITKY0iEaDWQmioBKXSBumoLCry9vh6OzoODeZrx+/aHFl2DlU7wttUrU01IoZVkGHXD5cirbt19m27Y4duy4UmRVIICFhSFNmrjQvLkrzZq50qSJMyYmJW/unZGRx44dl/nrL7EH4fXrGdrHZs5sxfvvhwCQn6/S7icoSVLVIoMpHSKDqUom/RocmCwKkKIBpYHY7sauDty5IGpi3Tkvqrur7q0283v5XtBVvUK7LgkFBWoOH05k584r7Nt3jYMHr5OenlfkHEtLQwYOrMXIkXVp0MDxke1pNBoOHbrOtGkH2bPnKpcvj8beXtSwatduJTdvZvH996E0a+b2zF6TJEnPnwymdIgMpiqp5JOwZ7yo0l4SPaN7AdUDQVfjSWBs/dy6KT2eSqUmKuom+/dfY9++a+zde5Vr1wpHmho0cGTkyEBefbXWQzdjflBuboE2dyorKx8Li7mo1Ro8PS0YOrQOAwbUxNnZHCMjPYyNZY6VJFVmMpjSITKYquTit8GRmeJraz9RbsHGX3xt4SHysHaPF1OEIAKpxpMh6E3QM6y4fkslUqs1hIcn8PPPp/jzz4vk5YkK7CYm+vTt60erVm4EBzsREGD7yCm8/HwVr7yyiQ0bYikoUGuPOziYkJaWx8cfN+aTT5o889cjSdKzIYMpHSKDqRdE/DZRaPTmaXHfqjo4vATqPFDl3rvd+9rICjzbg3dnUbJBrhysMDdvZvHbb2f5+edTREffKvKYkZEe9erZExzsRHCwI+3aeeLhUfxnOD09jw0bYli+/Bxbt8ZrA6ugIHtOnBgKiJyuDz7YQ//+/vTp4/fsX5gkSU9NBlM6RAZTLxC1SuRaHfiksHr741i4g1cnEVh5tAMj+T1SETQaDQcPXmfduhiOHUvi2LGkYknsAK1auTFoUG369fN7aF2r27ezWb36Aj/+eJI33wzSbr785ZeH+PjjfQDUrWtPSIgTjRo54+VlSZs27ujryyR2SdI1MpjSITKYegHlZcD5FaKQqJ6RmO7TMyr8OvUSxG0RW+GoHvjAVuqDT3cIHAleHUUdLKlCqNUaYmPvcuxYEkeP3uDQoUQOHLimLZdgaKhH9+4+DBpUm86dvR9bg2revBNMmLCb7OyCYo8pFPDpp82YNElOCUqSLpHBlA6RwZRUovwsuLpbBFZxW8QKwfvMXaHOa1BnOFTzfvjzNRpQ58vcrOckISGN338/y9Kl0Zw5UzglaGVlRJcuPnTvXp1OnbxKrMSu0Wi4fj2DI0ducPjwDf755woREYkArF3bk169fAH43/8O8uuvZ3j5ZbHJc9269rIKuyRVABlM6RAZTEmldvM0nF4IZ5YU3dTZI1QUEs1OFtOH929ZN6AgB9xbQ8Aw8O0LhrKY5LOm0WjuFQyN5vffz5KYmKl9TF9fScuWbnTvXp3u3atTvbrVI9vKyMhly5Y4Onf2wdxcBMXu7j9w9WrhakNXV3M6dfKmfXsPWrRwx8VF/h9L0vMggykdIoMpqcwKciF2PUT98ujSDP9mYCZqXgUMA7cWoqCo9EypVGoOHrzOxo2xbNgQW6wSe40aVrRu7U6bNh60bl26QGjChHBWrbpA9epWHDx4vcgmzwAxMSO1QdqNG5lUq2b4yAKkkiQ9GRlM6RAZTL1g0q7AzjFwfT+8cgBsaz5de6nxEL0EMq6BmTOYOYGpk/jXzAk0Kji3HM4sLjpNWM0bag8VU4WWHk/XB6nUYmLusHFjLBs3xrJnz1Xtpsz3+flZa4Or0FAP7OxMH9leTk4Bu3cn8OGHe4iMTMHERJ/MzP9qp/2cnL4nOTmLGjWsqVXLhpo1bXBxMcfbuxqNGjnh6ChHsSTpSclgSofIYKoKK8gRSeQGZqL21O3zkBIFu94WRTxdmoK5M3T5DY7MgJtRkHQCcm5Ctepg4Qb6JmDpDdW7glUNMKr2ZH3RaOD6ARFUnV8Been3HlCAdyeR1O7THfTkCMbzkpqay759V9m1K4Hw8AROnEhGrS789alQQHCwEx07is2ZGzd2QV+/5M2ZT5++iVKpIDDQHhA5XB4eP5V4fX19Bbm576FUisDr1Klk6tSxQ6mUI5aSVBoymNIhMpiqgjQa8Um4fzIc+gwMLCA//eHnVvOGkZdgSRCknARLL0iLf/i5BmYw5g78M1asCAx+HxwblL1/+Vlw8U84/X8i2LvP1EGMVgUMFcGfUlbofp7u3s1h795r7Np1hR07LhMVdbPI45aWhrRr50m3bj507eqDo6PZI9vLzMxj+/Z4Dhy4TocOXpw/f5vz5++wfn0MCQnpuLiYc+3aGwDcupWNnd18lEoFYWH+hIZ60qiRM9WrV8PYWAbYkvQwMpjSAfPnz2f+/PmoVCouXLggg6nK7vZ5iPgC0q9C7h0YfBzuxMDK1iI3Kf2qmE6zvlcd3doPTGxFRXTvznB1D1zaDDXDRD2qu7FwZSdcWC2CGoVSBE69NsB8W8hLE6NX5s6iwKdzE9G+jX/Z+n3nokhqP70IspIKjyuUYprQ3PXeze3ev85gYi8Cr/s3/YevTpOezvXrGWzfHs/WrXH8/fdlbt/O0T6mUEDjxi707FmdHj1qULOmTZlW9KlUarKzC7RJ7Vu3XqJz5z+Lnaenp0CpVNC/vz+//dYVEEHalSsiGHvc9jqSVJXJYEqHyJGpSqwgB84ug8j5kHyi6GPDL4J1DdCoITNJVDU3MHm666kLAAVc2wexG+DY7OLnuLaA7itFIFQWqnyI2yyS2uO33rtWKRlaiHwtuzpgXw/s6oJ9XajmJZPcy4lKpebYsSS2bIlj48ZYjh1LKvK4r681PXtWp08fPxo1ctZO3ZXFrVvZbNwYS0zMXfbuvcrx40lkZOQD0KaNO//8EwbAli2X6NLlT4yN9QgN9cTZ2RwXFzPOnr1Fw4bODB0a8NhcL0mqCmQwpUNkMFUJXd0npu+SjhUtUaBnLEaJmk4Dh6Bnvw3M3UtwZQfEb4eYdSLZHEChB80+g5feg/QrYO1btnbVKshKFknt6VfFv/dvWUnisfs3dX7J7RiYg10gOIWI/DCXpmDp/sQvVyp09Wr6vRWCMfzzT4J2/0AAFxdzeveuQd++frRo4VZintXjqFRqTpxI5q+/LhEc7EjXrtUB+Omnk7z+esmrSENDPfj77/4AFBSo0dNTyDpYUpUkgykdIoOpSkSjFiMtv4VA0lFxzMID6r8FtQeLKa+K+tDITYXIBaJkQuIhMR2YlwGbX4UafaDFF2WfAnwcjUZcNysZ0i6LBPqbpyDllNjgWZVX/DnmbvcCqybiX4f6Mun9KaWn57FtWxxr18awcWMs6emF77udnQm9etWgQwcvWrZ0e2yeVWnk5hYQHX2LhIQ0kpKySUzM4Pr1TLZujePy5TS++KIFH33UCIBvvjnKJ5/sp18/P777rh0WFrKArFR1yGBKh8hgSoep8kWidvQSUOiDfSA0/x+c/AGuHxKbEAe/q3uJ2rfPQzUfODgVIr4UQcv1/eDRFgJHi02X3VuBf9izy3dSF8CdC5AcCYkRYiVh8onC0bP79E3AqSG4NgOXZiLIMrZ+Nn16AeTmFrBjx2XWrLnI+vUxRfKsAGrWtKF1a3datXKnVSs3nJ3LtzRCSkoWBgZKbZX3kJClHD0qpiT19ZU0b+5Khw6eZGUVMGJEIF5eT7g6VZJ0gAymdIgMpnTY3ThYXLNwhMXUAUZfrVwjKVkpsOsdOL9cjKzdpzSEIScL61zdH3V7lvIz4cZREVhd3w/XD0LO7eLn2QaIoqKuLcGtJVi4Ptt+VVEFBWp2705gw4ZYdu9O4NSpFP7927l2bVt69KhOz541aNjwyXKtHuXgwet8+eUhTp1K4fLloitaFQrYs+cVmjd3K9drStLzIoMpHSKDKR2SnwmnfoK6r4vk7sNfQ/69bTs8O0Cbb5++yGZFSbsCUT/DyR8hO6XwuE936L0B1nYTAVWLr0Ty+POgUYtRtGv77wVX+8Xqwn+r5iOCKreWYmuckvYilB7p9u1s9u69xu7doq5VZGRykeDK0dGU7t1FYNWunUe5V02PibnDtm3xLFsWTUTEDdRqDSkpb2qT1Tt3Xo2ZmQFff92S6tXl6KSk+2QwpUNkMKUj8rNhbVdI2CVGoLKSxXGnEGg1U3yQVwWqfLES8NSPcHkH1Hsdmn0OCxzEFFzb+VBnGBiYikT7W6fBrRXY1no+/ctKFsHVtb2iXETyiaIjaiBGrqp3F4GgcyNQ6j2fvlUxd+7ksHVrHOvXx7BlSxxpaYW5Vqam+rRq5U5oqCehoZ73inmW36hVbm4Bx48n06SJCyCmBx0cvgfAyEiPLl186NvXl65dfUrcGFqSKpoMpnSIDKZ0hFoF216DC3+CKgcs3KHFl+Dfv+ou78+4Ll63pTvcOifKIhybJYqDOgZD7l1RSLTOCOjws5iX0agheqkIMm1qlu69UeWLQC03Vdz+GSs2ba4zHGr0EjW3VDmQfBLsAsDcpfC5uWliWvDqHri6W+RfPZh3ZWIPPl1FcOXVSQSBUpnl5akID09g/foYNmyI5erVolNyDg6mtGvnQWioJx07euHqalGu18/MzCMsbBN7914tEtQplQrs7U0YO7Y+kyY1KddrStLTksGUDpHBVAXTqMUHtEsTEVjcuQiZ10UytP4LVpAwdiP88/bDK7AbWUHHhWBbGxbVBD0jCB4vakwZmInn3DwNpo4iMGo6TRzbMgSMrOHO+ZKv22ONCLj+ekUEaAZmImm+Rm8wthGlHe4HSTl3IG6L6Gv8FhGc3WdgDjV6Qs1XRYmKypTbpkM0Gg2nTqWwc6eoxL57d0KxzZSbN3elf39/+vb1K9XmzGW59okTyaxZc4HVqy9w4cIdABo2dCIiYpD2vOvXM8r1upL0JGQwpUNkMFWBbkbDhr5w9wIMOCCmjF50Go0oa3DjqCj/cOOIGJ1S5cKrh8SeguHvium42+dKbqfPZtA3FRXgjW0KE80NLUUgZmAmArGcO9BthSitcHAamNqLoqRaCjEi1nIG1PtP0cKnqnwxHRi7EWLWijbuM7YFv35Q61VwbV51Rxefg7w8FYcOXWfHjsv8/fdlDh1K1D6mUECLFm7awMrJ6elLL9yn0WjYuDGWWbOO8t57wfTsWQOASZP28fnnh/D0tODVV2vTtasPjRs7o6cn/4+l50sGUzpEBlMVQKOG49/C7nHia6UBdF4qtnKRilPlwc0zYlTq/mjd5X/g4mooyBJ7/V3bL8osuLYAx/pQvYeYgrsbA6ZOIggytHh8UJOWADcixNY6MevE1jz36ZvCwMNiKx1VnijvcJ9GI+prnf0dLqwszHkDMapmFygqtNsFFn5tbFVOb9CL5erVdFavvsDKlec5ePC69viDW9z07FkDf/+ybXFTWjVr/h/nz98pcszGxpimTV3u5VlVx95eTvdKz54MpnSIDKaes8wk2DxQ7HsH4sO9829Qa0DF9ksqTl0AV/fCud9FlfeCLHg9EX5vBMnHxcrDkAnFC6WqC+DKLvG8i3+K4OthzF3FykALD7GvoYV74dfWfnLPwVJISEjTBlYPjlhB4RY3PXvWoEkTl3IbOYqNvcvvv5/F2tqI/fuvs3VrHHfv5mof37Spt7Za++nTKVSrZoS7u/zdKpU/GUzpEBlMPUdX98CmVyAzUYxytJ4F3l3lFieVgUYjtrYxsRUjiudXgJ6JqEHV8CORgP6wVX2qPLh1VqxKTIm6V6X9tNhm51GMrKDOa2Jqsazb8byg7m9xs359DP/8c4X8/MJVmNbWxnTo4EmnTt507OhVrsVCCwrUvPvuP3z//UlsbY25eHGkdgNmS8tvSU/Px9XVnJdf9qdrVx9atHDFyEjHCu1KlVKlCqZu3LiBk1MZN22tRGQw9RwdnQ273web2tBj9fNb7i+Vvyv/iFIWBfcqfBtZgVUNaP8zOAY9/vm5qSLISr8ianClJxR+nRYncrnu8+wAQWPEqkFZhqFU0tJy2bYtnvXrY/jrr0tFRo4A6tWzp1Mnbzp39qZZM9cn3j/wQTk5BWRk5GnrVt2+nY29/feo1UU/kkxM9GnTxp1evXwZMqS2DKykJ1apgqm6dety6tSp8mxSp8hg6jnRaGBdT7i0Uaz26rqsonskPa3MJJH7duK7wuKqhtUg6E1o8DaYPeEfYRo1xG2Fk9+L3C3u/Uqz8BCjVVY1RFL9/ZuJrQjmZKD1UAUFaiIiEtm6NY6tW+O028vcZ2NjTNeuPvTsWYOOHb0wNy+//ftycws4f/4OMTF32Lw5js2bL5GYmAmAubkBd+++pZ1+jIu7i4eHpUxkl0qtUgVTgYGBREVFlWeTOkUGU8/Q9YOwbyL0XAtG1cSS+s2DoeefVacIpyRGmQ5MgzOLRG0sgEFHxf9/XrqoaG9i82Rt370k9mI8/X8P3/pGSwGODaD2EKg5QKxKlB4qOTmTv/++zJYtcWzdGs+tW9nax4yM9AgN9aRnzxr07FkdB4fyWx0Iop5VUNASYmPv8tZb9fn223aAyK1q02YlKpWazp196NLFmy5dfLC2lnlzUskqVTAlR6akJxK1EHa8Aep8aPAOtPlGHM9LF6vKpKpHrRLV3RPCoeV0+NlDrOrzbA9mzqIQqX09cHwJDMv4IZ2fLVYJxm2F7JsisMq5Jf7NK1rgEqU+eHeBgKEiJ+9Fq1dWBgUFag4cuMa6dTGsXx/DpUuFdcOUSgWtWrnx8sv+9O7tW25lF+7X0apXz0F7bOjQzSxZEl3kPCMjPV55pSZjxgQREuJcLteWqhYZTOkQGUyVM7UK9n4IR2eK+5Ze0H8XVPOqyF5Jz5sqH879IfZaTD4hVgI+yMwZPEPBubEYTbq6RwRBkd+Lmlp6hoAGFPpg7izOt/YTFfEfdq3MG6KUQ/SvkHSs8DFjG/Ecn25iX0GD8h1pqUo0Gg1nztxk/fpY1q27WGQ6UKGAli1FYFXe9awAJk7cy8KFp/nvfxuQmprLxo2xnDlzS/v4pEmN+OyzFuV6Tanyk8GUDpHBVDnKS4e/Boq8KBBVtK8fAPc28PLO4kvopapPXSDKKtw4IoqQxm8HdeF2JVTvIUaxFtUUeU/5mWI082E824tipOt7g3dnQAmuTUXdqge/t26egeglcPY3sWXPfXqGog6XV0ex9Y1dHfk9+Qjx8amsXn2BVavOc/jwDe1xhQJatXInLEwEVuVVU0qt1qDRaNDTU6LRaBg3LpzZs4+hUMDBgwNp1EiMTm3bFoevrxU+PnIz5hddpQqm6tevz4kTJ8qzSZ0ig6lyknYF/uwiqnfrG0PHReJDbkUr6Ldd5LNIUn62qD2lyoWsJJFM7txQVMI3tBCjVChEwHV2GaScEvsQWnqCTS1RuPTPzkWrult6gnc3CBgi2rpPrRL1zGLWiunBf2/TY+4iti1yqC++Px3qi022pWIuX74fWF0gIqKwnpWenoK2bT3o39+fPn18sbExeUQrZXPrVjabN19CqVTw6qu1UCgU5OerMDefS16eim7dqvPZZ80ICpL/Zy+qShVMVQZeXl5YWlqiVCqxtrZm165dpX6uDKbKyfHvIPwd0DeBl/8p/FDLuSsrXUvlJzNJBFlZSXArGq7sKCzPAGLkqcVXYsTqQRqN2PcxfivEb4OEXVCQTTHmLveCq2CxSMK5SdEtdCQuX05l5crzrFhxnmPHCqcC9fWVtGvnQZ8+vvTsWQNHx/KfUj1//haBgb8WqaHVoYMX48YFExrq+Uwqvku6SwZT5czLy4vTp09jbl72QnQymConF9fChj6ihtSw03L6RHo+8rMgehnsGF30eJdlYl/AkhTkiCnopGOQdFzkdd25gLYMw316huDUENxaiZtrU5l39YCYmDvawOrUqRTtcYUCmjd3o29fX3r39sXDo/x+t2Zk5LFhQywbN8aycuV5bR0re3sTvv22LQMGyPp1LwoZTJUzGUxVkOPfib/k/fqKKZWYdSIHRs+gonsmvUju7wsYt0VU17/0Fwy/ABGfAwqo+QpY+z9+VV9ehthUOvmEKOtwdTdkXCt6jlJfjFj5dBff61Y+z+xlVTbnz9/mzz8v8uefF4rVsnrpJUd69KhO9+7VCQpyKLcRpLi4u3zwwR5WrboAwMSJjfjf/0SiekpKJgYGelhZyfIKVdULFUzt2bOHGTNmcOzYMRITE1m7di29evUqcs78+fOZMWMGN27coF69enz33Xc0bNjw4Q0+hLe3NzY2NiiVSt555x0GDhxY6ufKYOoJaDSwso34sFHow5BIsAuo6F5JkpCfLXKyfnQVqwirVYeMqyL3yuElcG0mFkWY2j38+Q/+Ck29JEo9XN0t/k1PKHqubYAIqqr3EFPbj9tI+gVx+XIq69bFsGbNRfbtu1rkLXV3t6BbNx969KhBmzbuT10BXaPRsHr1BX74IZIff+xAjRoiMT04eCnHjiXRuLEzo0bVxcenGo6OZjg5mWFlZSSnBKuAFyqY2rJlC/v37+ell16iT58+xYKpFStWMGTIEH744QcaNWrEnDlzWLVqFefPn8fBQSQWBgUFUVBQUKzt7du34+LiwrVr13B1dSUxMZHQ0FD++OMP6tatW6r+yWCqjDQa2PUOnJgr7vt0h17r5bSepFvUBRC7UeRXJYSLmlT/Zu0HgSMheByggexb8IuPyKVSKMDEXiSk37+5tgKPNnBpk6indXUPaFSF7Zk5gW8/8A8T04EysAIgKSmTTZsusXFjLNu3x5OdXfi73NzcgO7dqxMWVpNOnbzKbWuZvDwVlpZzyc1VPfRxPT0FUVHDqFXLFoA1ay7wzz9XsLY2xsbGGGtrI5ydzQkJccLWVubM6apKGUwlJiZiY2ODkdGTF8BTKBTFgqlGjRoREhLCvHnzAFCr1bi7u/PWW2/x4Ycflvka48ePJyAggGHDhj308dzcXHJzC/epSktLw93dXQZTpaFWwT9jRUVqEB8a3ZZXbJ8k6XHuJ59f3w/7J4tRqvvqDIfg8bA0SKw+TTpacjsBw6DTIvG1WgVbBontc7KSREJ7bmHBS8xdwe9l8TPi3Ej+sXFPdnY+//xzhQ0bYtm06RLXr2doH6tWzYjevWsQFlaTdu08MDB4uu2BMjLyWLLkDImJGezbd50bNzKJi0vVBljJyW9qyzrY2c3j1q2ch7bj72/DunU9qVnT9qn6I5W/ShlMhYaGEhsbS9++fZk5c+YTtfHvYCovLw9TU1NWr15dJMAaOnQod+/eZf369Y9tMzMzE7VajYWFBRkZGbRq1YoffviBkJCQh54/depUpk2bVuy4DKYeI+smbB4El7cBCmj/I9QdVdG9kqSy0WjEKkB9U7h7UYw+ZVyDdd3BPkhswK1vKvYH3NhP5GIFjgIbf1GawaWpyMUydxOrV+9zqA/VvCEjEW6eEvWy7rPwAPdWYoWgYzA4BIFB+dRmqszUag1HjtxgxYpzrFhxvkhgZWtrQp8+vvTuXYO2bT3KbcTq7Nlb7Np1BVtbE15+2R+lUsGtW9nY2c0HYPToQDIyCrh9O5sjR25oA6z09Le1exa+994uLl9O4+WX/enSxRtLS1lhv6JUymDqvnPnzlGzZs0neu6/g6nr16/j6urKgQMHaNKkifa8CRMmsHv3biIiIh7b5qVLl+jduzcAKpWKUaNG8d///rfE8+XI1BPITIJlISJfRKEvNil+WCVqSaqM1AWiTlpeOjjUKzy+6RUxlddlmZjeA7i4Djb0hmo+UGsQxG1++GhW4Gix+XPshsJNoLWUInHdob4oRFqj1wu/l6BarWHfvqusWHGeVavOk5JSWLbC0tKQrl196N3bl86dvct1I2YQU4InTiRz+XIq/fsXfrYNGvQXy5adZfToQH78sSMAqam5WFl9pz3H0FCPDh08cXU1R6kUNbf69fMv1/5JJatUwVRBQQH6+uXzV8GzCKaelsyZKoWCXJFwnnxCVKtu8FZF90iSKsaNIxC5QBQKbTpFHMtMgl8DRc6Va1NRdT30B1HJ/cxiyMuE+M2PaFQhVgj69oEavcHS/Xm8Ep1VUKAmPDyBNWsusG5dDDduFI7yGRnp0aGDFwMG1KRnzxqYmj67lcMqlZpLl1KxsDDUbp8TGZlMSMhvGBgocXe34MKFO0WeU7OmDdHRr6FQKNBoNKSn58mRq2foWX5+l0/U84CGDRty/Pjx8m4WADs7O/T09EhKKrqMNikpCScnp2dyTamUNBqx55lSKZaU91gtPhwsPSu6Z5JUcZxCoNO/UggUSrF6EDX0WFNYRT3iS7iwSizSaPiRyK3KSoJLW8S5KO/9qxGrBa/uhl3/FVOBvn3Bo60YvXrBSo3o6ysJDfUkNNST+fNDiYhIZO3ai6xde5GYmLts3ChqTJmZGdCnjy+DBtWmbVsP9PXLN+FfT0+Jr2/RLWuCghzIyXmHu3dzsbEx5syZm/z550UWLjzN5ctp1Kxpo10leOTIDVq0+IMBA2qxeHHncu2b9Ozp9HYyJSWgN2zYkO++E0OnarUaDw8Pxo4d+0QJ6GUlR6YeIj8Lto+A2xfEiqfOS164X+iSVCbqArHZsrlL4Sq+G0fFNGE1H/DtVXjukRki+AocLfKrqvnAliEiQb4YhdizsM5r4NVBVGQ3ejF/T93fiHnlyvMsW3aWS5cKE/4dHU0ZMKAWQ4bUpn59xwrp38WLd1AqFVSvbgXAmDE7+P77SKpVM2Ly5CaEhnpSq5YNEybswcPDgmHD6mBtLWtgPQ2dn+ZbsmQJIL55p0yZwqeffqp9bMiQIWVqKyMjg5iYGEAEZrNnz6ZNmzbY2Njg4eHBihUrGDp0KD/++CMNGzZkzpw5rFy5knPnzuHo+Ox+KObPn8/8+fNRqVRcuHBBBlMPOvkj7HhDfK3Qh1cPiL/IJUl6Ngpy4WYUbOoPqXEln6dQgqUXmNhB40lQvftz66Iu0Wg0HDqUyG+/RbNixXlu3SrMsQoKcmDEiDoMHFi7QoOVJUtOM2rU3+TlFZZnMDBQarfC2bfvFZo1cwPg1KkU0tPzaNzYGT09WVKjtHQ+mPr111+1X0+ePJnPPvuM+80OHTq0TG2Fh4fTpk2bYseHDh3K4sWLAZg3b562aGdQUBBz586lUaNGT/4CykCOTP2LWgVbh8HZ30ChBz3XvrC/sCXpuVOrxP6B55bD5Z2QVbipMEpDsQG0lkJMA/r1A7/+UJAJ9qWrr1eV5Oer2LYtnqVLo1m3LkYbvBgZ6dG3rx8jRgTSurU7SuXzL09x924Oy5eL1YrHjyeRllb4/xcRMZCGDZ0BCA1dyc6dV+jTx5cffmivLdkgPZrOB1MPatCgwTPLmdIFMpi6Jz9TbFK8bSScWSQCqe4rRVKsJEnPn0ZTtAK7tZ+odRXxFVxcBVnJxZ9j6Q2DT4BxtefcWd1w61Y2y5ad5ZdfThEVdVN73Nu7GoMG1WLgwNr4+9tUSN80Gg3x8alERqYQGZnMBx801CbQBwQsIjq6sLBszZo2NGjgQFxcKlOnNqVDB+8K6bOuq1TBVHnmTOkiGUwhAqnlLcTmr7fPiqmELr9DzbCK7pkkSQ+Tcxe2j4IbEWL14IOV2FGAc2NR3d2nK5hVTA5RRdJoNBw9eoP/+7/T/PHH2SIjQiEhTgwcWItXXqmJo6NubFq9Zcsl1q+PYd++a5w5U7Rav4GBkmvX3pCjVQ+hM8FUjx49WLp0KdWqlfxXTH5+PgYGVS/5WOZMPeDiWthwfwRKAV1+g1qvVmiXJEkqJY0a4reL6u7Jx8R9rXuBlXcncG8NTo0ev+FzFZOVlc+6dTEsWxbNtm3xqFTiI1JPT0FoqCdDhgTQp48vxsblvhj+idy6lc3+/ddYseIcf/55EScnM+LiRgOQk1NA//4beeedBrRtK1dW60wwpVQqOXXqFHXq1NEei4mJoUaNGsXO1Wg0VXJjSDkydc/FdSLx1cJVFuSUpMoqJxUi/geGFnD8W8i5XfRxfWNRxd29Dbi1Fpsz65VvEUxdlpycyYoVYjVgRERhPpqVlREDB9ZixIjAClsN+DAFBWquXk3Hy0sMePz440neeOPve1+HMnp0UAX2ruLpVDC1du1aevbsCYiAycDAgMjIyCIB1rBhw1i6dCkvvfQSv/32G35+fuXa6Yr0QgdTBblinzKr6hXdE0mSypNGA4e/hkP/E/sC5meKEamCf+0/Z2AGHqHg0w18uojSDi+Iixfv8Ntv0SxefJorV9K1x3VlNeDDrFlzgeHDt2qnLceOrc/s2a2feh/DykqngqnBgwdrV+9dvXoVDw8PduzYQdu2bQGxZ52NjQ1r1qzh0KFD7Nu3j3379pVrpyvSCxtMJewWy7A1GnhlH9hUnQBZkqR7Uk7BjjeL1rDSNwYrX1EXKzul6PkODURgVb0bOL5UWDOrClOp1PzzzxX+7/+iWLu2cDWgoaEeXbv68OqrNena1QcTE91IdykoUPP554eYOvUAAI0aObNiRTc8PV+8RQfP8vO7zN/5u3fv5qeffkKtVrN48WIMDQ3ZvXu39vFr165hZGREr169mDx5cpnrTEk6KPsOrOkkVgPl3IHMxMc/R5Kkyse+LgzYBwMOgu/L4lhBjqhpZWQN7X+CZp+BcyNAAcnH4dCnsKwh/OQOO98SqwnVqkdcpHLT01PSvr0Xy5d35/r1N5g7ty316tmTl6di7dqLvPzyRhwdFzBs2Ba2b4+noED9+EafIX19JVOmNGX9+l5YWBgQEZGIn9//sXnzpQrtV1VTppGpIUOG8NprrzFkyBBu3rxJXl4e8+bNY9q0aezduxdfX19mzZrFokWLOH369LPsd4V54Uam8tLhzy5wbZ8of9B7M3h3qOheSZL0PNw4Av/8F26ehvx0GBwpEtY1KrBwh7gtcGkTxG8rukGziT349hbb3Li3eSF2RIiKSuH338/y++9ni0wDOjiYMnhwbd54ox41alg/ooVn788/L/DyyxtRqzVFNmR+UejMNN99+fn5REZGYmVlha+vLzNmzGDSpEnUrVuXkydPMm3aND766KNy7WhFe6FW86ny4MyvkJsKsetFIGVUDfpuFwmokiS9WHLTRHFQv36wrBEkHbtX/PNl8Osrfmdc3gEX14jfGTkPbOhrbA3Ve4H/y+DRrsonsKvVGg4evM7vv59l5crz3LxZWG29Uycv3nyzPl26eFdY5fLjx2+wYMFJFixoX+77E+o6nQumHmb//v1s27YNDw8PRowYUSVX8sELMjIVswHW9xQjURqVCKT67QCn4IrumSRJFSkvA3b8B2LWQ0E2aArAPgiafw7enUXyuipfTPVdXAMxa4sWCzWyghq9RBDmGVrlA6v8fBVbtsSxYEEkW7fGa497elry+uv1GDGiDg4OFVu7av/+q0yevJ+NG/toi4JWVZUimHpRvBDBlEYNqzvAnYuQexde3iH32pMkqdDdSxC9FI7NEqkAIKb9GrwLAUPAxFYcU6vEyPaFVSK4yrxR2IaRlQjAvLuAV0cwtX/uL+N5io29yw8/RLJw4Wlu3xarJA0MlPToUZ3hwwPp0MHruY8Upafn4eT0PVlZBXh6WnL8+GBsbEyeax+eJxlM6ZAqG0wl7AaXJkX/UsxNFbWkHIIqrFuSJOmw7Fuwe7zYUuo+PUPouV4U/nyQWiVWCZ5fWTywQiH+YPPuIkouVOGVgdnZ+axYcZ7vv4/kyJHC98DFxZyhQwMYPrzOc82t+vjjvXz99WHUag21atmwZUvfKrvSTwZTOqRKBlOpcfB/vmDmDE2mQt0RFd0jSZIqi/xMiPhSVFVX54stpt5IhNR4sK0FiRGiPpVjg8IASa2CxEMQtxkubYaUyKJtGtuCWwtwawVuLcG+HiirXm2kkyeTWbToNEuXRmtHqwBatnRj9Oi69Ovnh5HRs6+0HhmZRLdua7l2LQMnJzMWLAilVy/fZ37d500GUzqkSgZTl3fAlsFiCXTuXWjzLTR4u6J7JUlSZZR2Wazm+9kLlPpgYidKK5g6FE7reXYAY6vC52Rch7itIri6vL1w6vA+Q0twbS6CK+9OYBco8rOqiNzcAjZujGXhwtNs2xaPWi0+lu3tTRgxIpDXX6+nrWr+rFy9mk7nzms4fVps+DxoUC2WLOlSpfKfZTClA6r0aj6NBjb2h4urxS+tvtvApXFF90qSpMoq+SSs6w4KfXCsD5f//leApATXZqJ8wkvvFn2uKl+sFry6G67uETlXeWlFz7H0BJ/uUL27CLCq0P6BV6+ms3BhFD/9dIpr10S5CYUCunb14c03g+jY0Rul8tkEOKmpuQQGLiYhIR1jYz1SUsZgbl51FgnIYEqHVMmRqcNfw94PxV+RL+8Uw+qSJElPQ5UnUghs/MXX1/bDXwMgK6nwHP9XRDC1sZ/YYPn2ObFdleNLIind8SXxx17KSRFcXdkpbg9uc2NgLs717iwCK6vqVWLUqqBAzcaNsXz/fSQ7dlzWHvfxqcYbb9TjtdfqYGdnWu7Xzc0toHfv9QwbFkD//jXLvf2KJIMpHVKlgqmsFFFPas8EQAOhC6DeGxXdK0mSqqqr+yDpCLg0E1vXWLqLJPbNA0UC+o0jRc/XNxVBkm8fMTVoagf5WSKgit0gCoYWSWRH5H66tSy82dau9Mns58/f5ocfTrJo0WlSU3MBMDLSo39/f958M4hGjZyf2XScRqOhe/e1eHpa8N13oc9sVOx5kMGUDqlSwdT20RD1s/i67mho/2PF9keSpBdPbhrcir432qQW+VVx2yB+S9HzgsdDq+ni67x0SE8QewamRELsRkjYBTcOi1GwBxnbipErn24i38q4YquQP43MzDyWLxcrAY8fLxzhq1/fgf/8J4iBA2uVe62oefOO89Zb/wDQvLkrf/zRDTc3i3K9xvMigykdUqWCqZVtRHE9m5ow5GSVL6AnSVIlocqD8/dqU1n7icCqzbdi5CpmvRit2j9JjFzZ1ASlATg1hBafQ9JxkWt1dQ9cPwAFWYXtKvREIrtPN3Gz8a+UU4IajYYjR27w/feRLF9+jtxcsReinZ0JY8YEMWZMfezty2cKMCsrj9atVxIZmUx+vhpra2O+/LIFI0cGVlgV9yclgykdUqWCKYBTP4tfKubOFd0TSZKkkqny4WcPMa1X/y2I+r+igRKAhQfUHwuBo+Dsb5CfDdW8REL7pU1w60zR8619wbef2BrHoX6lDKxu3cpm8eLTzJt3gvh4kahvYqLPa6/V4b33gqle3eqpr6HRaLhw4TaDB2/R1sayszNh7ty2DBhQ66nbf15kMKVDqkQwpVZVyZotkiRVYeoCsbIv+5YYXTKxgzsXIGYdnF0mkt3vB1dDo2B9b7gbA/3+FlvXgKjcHrdZBFYJu4pOCVbzubffYD9wDC57YKXRVGgwVlCgZs2aC8yYcYRjx8QUoFKpoE8fX8aNC6FRo6f/g7mgQM2CBZG89144BQVqAGJjR+LjY/XUbT8PMpjSAVWmNML5lXBgKnT9XVY2lySp6sjPhnN/QPJxaPsdRHwhvravJ4Ij704QtVDkiYaMF3lUl/6CC6tFgFVQuCExFu7icY924NFW1MgCkd+VfFwEZXqGYqTrVjTEbREFS11biBp9fv0KA7XnnD6h0WgID09gxowjbNkSpz3eqJEzb7/dgH79/DA0fLo/pteuvcA77+wiONiJNWt6AnD5cipbtsQzdGhtTEx0c48/GUzpkEo9MnXjCCxvAapcUf9lwH5wbljRvZIkSXo2MhLhZ08R6Fj7iVH51Fho8TU0nCDOuXUWDk4Te5KiEKNW/54+tKtbuDHz4a8efU2/l6H7Sri4Fv56BdzbQZ9NhSsKn+MI1unTKcyceZQ//jhHXp7Iq3J2NuM//wni9dfrPvUmy2q1Rru6b/Tobfz8cxTW1sYMGlSL4GAngoMd8fe30ZncKhlM6ZBKG0ylJcDvDUW+gZEVGFnD8POgp5t/QUiSJD21rGQR/ET9X2HhTz1jCBgKDT8U+VSXNsPariJnavBxUXohIRy2DS9aE+tBSgORn+XcSOxpamIvArZbZ0TZh+rd4MA0ODhVnG9VAxq8A3WGwW8hYiPoTr+Clc+zfgcASErK5KefTvH995HcuJEJgKGhHgMG1OT994MJDHz6TaabNfudAweuFztuYqJPy5ZuzJrVmoAAu6e+ztOQwZQOqZTBVF4GLG8uCt/Z1YGwfaDKATPHiu6ZJEnSs5eXLmrqHf9W5FGBGCkaGgV6RiLvKu2yGJ0yqgaZSSIPS3W/OKgCar0qcrbSLhdt29oPfLqCVycRXBnd2/ZFoxFB3O53xe9gEI/lpor23koFw3slBm6dAwMTUdn9Wb4NeSpWr77At98e4/DhwvpcXbv68OGHDWne3O2J21arNZw9e4sTJ5I5fjyJo0eTiIhI1I6I/fVXb7p0qf7Ur+FpyGBKh1S6YEqtgvW9xNC1qSMMjHjmP7CSJEk6SaMW+U3HvxVb3IyME6NTAHs+gCPTi55v6QUBwyBgCFTzFgHS7XMi1ypuM1zbKxLjtRRic2fnxiKwcm4s2oheCse/gbux907Tg1oDoeV08Uftup7id3ToAlHz7zk4dOg6s2cfZfXqC9yPApo2deGDDxrSrVv1cinOOWbM33z//Un69fNj1aoe2uMFBWr09Z//1J8MpnRIpQum9k+GQ5+Jv8Lqvg7t5lfK5b+SJEnl6m6sSDS/nyAe/zdc21M4cuTbW1RQf1T19Nw0EZRd+guuhosVhf9mYAburcG7KygNIXqxGOEytoHRCeL6f3YV7QyLBtt7W7ikREHqJdGHZ1ho9OLFO8yceYTFi89oR5Fq17ZlwoQQXn21FgYGT5esHh19k5o1bbXBWUTEdcLCNjJzZmv69fN/6v6XhQymdEilC6ZS42BlW0iLF38NDT4B9oEV3StJkqSqJzNJVGFPPASJEeLrIhs8I3KzHBqIPQQbfiCCNY0afvYWx2oNAr++Iin+2DfFd6fISy+cHixHiYkZfPvtcRYsiCQtTaxE9PCw4P33Qxg5MrBcKqur1Rrc3X/g+nWRtzV0aABz57bF0vL5bFQtgykdUumCKRDF7s78Kub/64+t6N5IkiS9GNQquHka4v6C2E0iyOKBj1xTB5GwXs0bjs0uPK5nCEojUGWLelqNJorf3WlXYKEvWHpDy6/FNGI5576mpubyww+RfPPNMZKSxKpGOzsT3n67AWPGBGFjY/LEbd+4kUm7diu5ePEOBQVqNBro3r06Gzb0Lq/uP5IMpnRIpQim7lyE2+fFihJJkiRJN2Qli9WDlzZC/HbIzyj6uFJfTAX+uzRDs8+g8SRRE2vjy0UfM3eFatXBvSXUHCA2di4HOTkF/PrrGaZPP8ylS6kAmJkZ8PrrdXn//RBcXMyfqN3c3AJOnEgmL09F27YrUak07Ns3gGbNXMul348igykdUGmKduZnwu+NxV9DNQdCx/8D/eczhCpJkiSVUkEuJB0V+VPX9ot9BHNuFT1HqQ+2AeDeBnz7irqAl/6Ckz9C+hWRDM+/PsJbzoCQceXXzQI1q1df4KuvIjh5MgUQZRVGjKjDhAkN8fKq9sRtv/76dn766RQhIU5ERAxE8YzzeWUwpUN0emRKo4EtQ8SeVPomoqKvZwfou1UmnUuSJOkyjUbMKFzfL1YJXvkH0hOKnqNvKrbScWshqq3b1oIru2DnGPH7viBH1MpyqCfOT4mCzERRyf0ptxDTaDRs3RrHF19EsG/fNdEdfSWDBtXiww8b4e9vU+Y2v/nmKO+9Fw7A1q196djR+6n6+DgymNIhOhtMadQiWXH3OJFo3uILOPw1dFoM1btXdO8kSZKkstBoxIrDKztFYJXwD2TfLHqOniE4hogAy74euDSFap7iuTvfhNsXxPMcGsDLO8ptVeCePQn873+H+PtvUXNLoYD+/f2ZOLFxmQqAnjt3i1q1FuHubsGhQ6/i4lL+ifUPksGUDtHJYOrCGvGDk5UCaAqHeXNTCwvISZIkSZWXRi3SN67uEbdre8WOFg/SMwTXlqKW4On/A5RgaCZWALq2gH7bQd+43Lp0+HAin39+iA0bYrXH+vTxZfLkJtSr51CqNs6evUWtWrbl1qdHkcGUDtHJYCpmvSjMCVCjN/RYI6f1JEmSqrL7I1fX9sLVvZCwS5TAeZChJXi2F0nvqmyxb2C35Y+unfUETp1K4fPPD7Fq1XltAdBevWoweXIT6tcv/WrD++HIs8qdksGUDtHJYOrYNxD+ntj/adAxMNKRfkmSJEnPh0YDdy5A/FZR5T0hXGxq/2/WfhA0RkwJ2tcr1/1Zz5y5yf/+d4gVK85pg6oePaozeXITXnrJ6ZHP3b37CmPH/sOECSEMHhxQbn16kAymdIjOBFNJJyA7Gdzbih+GqP8T2xfY1am4PkmSJEm6IT8Lru6GuK1i1OpmVPFz7ie0u7cBj7bg2ECsIHxK0dEiqFq+vDCo6tmzBtOmNX3o9F9qai5eXj9x924ubm7mxMaOwtDw6RLmH0YGUzpEZ4KpzYPERpzB46HV9MefL0mSJL2Ysm7C8mai6KeegajCnnIKcu8WPc/QUmxf49EW3FqDfd2nWgV47twt/vfZQX7/ozCo6tfPj6lTmxIQYFfk3C5dVrNt22XUag3ffx/Kf/4T9MTXLYkMpnSITgVT51dCrw3g3ani+iFJkiTpvrQEUT7BzEmkgmjUcPOMGLW68o/YWzA3tehzDC3FyJVrCxFkOQUX7mX4OBoNRH4PkfM522Az076MYuVKkVOlUMArr9RkypSm2pIKiYkZLF9+lvfe242zsxmxsSMxMSm/KUiQwZRO0Ylg6tZZWN4ccm5DvTEQOq9i+iFJkiRVTmkJcPOU2HDZpYnY+iYl8l4Zhl2imOi/9xXUNxHpJK4tRa0rlyZiI+d/y7wB24aL3C3QrjCP2rKWaVP3sOawqHauVCoYPLg2U6c2xcurGrm5Bfj5/R9XrqQzY0Yrxo0LKd+XLIMp3VHhwVRaAvzRFDKuim/ql3c+/JtZkiRJkh4m+SSsbCOm+RRKaDkdXnq36CpwdYGYCnywFMO/61wp9UUNq/sjV67NRZ7W1tcgL1U83mo21B8jrvNdNchLI/KaC1O2d2DDGZFobmCgZPToukyc2JitW+MYPnwbVlZGXLw4Ajs703J72TKY0iEVGkxl3xKB1J0LYFMLXtkLJs+nPockSZJURcRvh7XdRB3C+wFS9Z7QaVHJhT01GrF9zf3A6uqe4hXa/83CHUZdFkGaRgMrWon9Cb07wbnlHD5nyKStnfj7gh8AJib6BAbacfiwqJ/1+efN+fjjxuX1qmUwpQvKZW8+tQp2/Ed8s7b8umzPzcuA1aGQGCHu+3SH3hvK1oYkSZIkAVz8E+zri1IK4e+AKk8U++y2UuwBWBppl8W04PG5kBpbfFoQwNKrcPsb1xZg4y+CK1Ue/FoX7pxnV6wvE499zMHDhSNfHh4WREUNxdLyCYuMqvJFXlj0EoheCjVfIe1aNNW6zZfBlC54qsg2eqnYOy9wJLT/qWyFNf8aCOd+Bz1jUOdBww+h+edlu74kSZIk/VvScVjdQWy0rNCHNt9A/bGPfk5uqpgtifoFDn8J1XxEwrpvH5HPe20vJJ8QAc2DTOwL9xe09oP1vUGdjyZgOH8VfMzEifs4dUpsqOzoaMqUKU0ZOTIQA4MyrCq8uA52vy+S5W+f0x5Oy4Fqk3gmwdTTF5SQSi/9GigNxDddWSu8Nv5EfGN2WiT+ekBWOJckSZLKgYU7FGSJrzUFYsPk+5KO30stqSmCn5w7cPxbOPUDODWCbivg0iZoMkUEUg9+tuWmQeJBUaH92l4xs5KdAjFrxQ1EUru+KQojS7rVvkKXw/1Y8ecVJk3ax6VLqbz55g4+/HAPX3/dktdfr1e66uhZSZB6CUwdxACEf384+xugfuxTn5QcmSqjp55zTbsMxrZgaF7256pVT73ztyRJkiQVkxAO5/4Ary5Qo7tIGL+4Di6uuReIgPgjXoE2KLENgAEHxOdZabaoKciFpGMisLq2F67tL17rSmkAji+hcm7G+qPOjJqaye0skYT+0kuOTJ/eirZtPf7V991gaCECMzRg5QsnF0CtQaJ9Kx9IOkHa2oFU+89ZOc2nC546mFLliRUSWUng0/XR517dAyjBrbm4ry4ol+q0kiRJkvRIahXMqwb5mSK3Kv2ymL67r9n/oNFHT7fPn3bz5r0Qux6u7BIjY/8SlejE3jhv9l7yZm+cN4FNgpg+vRWBgfZwYh788xaYu4rkdvu68Oqhh35Wpt1OoZqtg5zmq7QSwsW+eRZuYqru98Zi3vg/SSVP92Vch40viznp3ptEGYSFfuDdWeRblePO35L0/+3de1iU5b7/8Q8gB0VBDjqCgtbWyyWhjCKQmYZKkhb+tHLb2r9VqB32dqkto8PSfaWVe5VeZi13ivnTaqnl2mm1tJaWWvwszVBSY+WhPJSVSwNFFAQVBGb/MTpGHJzhmWFm8P26Lq6Ye57Dd8hHPt73/dwPANRScVaKHmidc/S7L62jIueLrMHlx4+tC3gafWCyj681/HToYz3ej5fv3IvsLXVKtvZenTmk3lEF6h1VoN/fkitJ+v50uD5/4Qbtad9dd/Q6IpMklR237tumo3V4sXV43fO1CjRWbyMIU6526by04bfWceaxOZIpUWpjsj5g8lJ5/cN91Zek9eOupuwug61drReKpJP5BCkAgGu1jpDu3VS7rU2klP66tYeqXRfnni8qRRo0V9o+0/ocwe7/x9pxcPG0dGqvdnySp6CzX6lP9M+6MaJYN0YUS9otXZLKKgIUFBKmVt1HSH2nWpd8aGYM8znI4WG+0h+lD++3rscx8aD17oIr6+k35NMnpN0vWe+M+N0uKayHtTv0RK41gHUb7rwPBACAp8hfLOVMrtNcNfRV3TX1ojaOeUzVNT46UdpORedD1KtDgYL8fzU0GBAidR54eaX2q4/BceU6U/RMuVpIV2ncZ9ZepivPNGosSB3+mzVISdY798J6XN7H1/qHAwCAliphkvX35Z5XpIozUmCY1DZKrdqEq32XIK0/0Etrvu6rF5Y8LHPfwVr73n6t/u+39C+BX2vQjUc16MYf1Val1kfZXHmcTasgKepmqX2Ky8qmZ8pBTk22v+6hOnNYequ/VFkqJT4upc43dnwAALzRPz+XCnZa521FW+dSnT9/Sf/xHx9rwoR4DRly9Y6+yspqLV6cr9mzc1Vy9rwSok9oUsY53XfrSbUrubwcg1y7zhRhykF2h6mLZ6SDq6X4iXWfsn1lcnnpD9Ij/7waqLb9p3Xxs863SmP/v+R3+YnZH/+7dR2QPo9YJ9cBAAAtWvSVTKbWGjv2NyouvqDnnsvV4sX5qqqqUatWvpoyxaxnH41Q6LmdKj34iUL/9R3ClCewO0x9/rS083nr8gdj1td+r/qStLCdVF0hTTx0dSjPYrGujdF9tNQ22tpWXiAtiZZkkR7+4fKCnQAAXN9WrtyvzEzrUN7ixcM0aVJfSdK3357WE098pg0bvpckhYcHafbsgfrtb29QRESYS8KUwfsa0aCQblJwJyn+obrv+flLo/4mTfjWuhp69SVru4+PZP791SAlSf7B0vDXpMQsghQAAJdVVdXYBnZ+//scPfvsdlVV1eg3v4nQ+vV3a/PmexUfH6ni4ouaMiVHgwb9j8tqoWfKQQ7Nmbp0wTrxrbEJ59v+07r21Kh3rcEJAADYJSfnR23ceFTz5++SJPXsGaaXXx6ikSNvlGQNXEuX/kMzZ25XcfFZSTMZ5vME1wxTleesy9rbY9dL0mdPWL8f9Z71uUYAAMAhf/nLXj355FadPn1BkjR4cBd99tl9tveLiy9o+vTNWrZsNMN8Hu/rZdJfekkn/2HftleC1MDn6w9SP++UDr0rVZY5t04AAFqQCRN6a//+TLVvb13l3GzuYHvvwoVLCgsL0vz5Q1x2fsKUnbKzsxUXF6ekpKT6N6i+JOUvsi5p//36+re54vA66x16V/zLqPq3+2qh9a6/3NlNqhkAgOuFydRWRUWT9cYb6Zo37zZb+6RJH+vBBzc1sqdxDPM5qNFhvotnpb2vSf0fb3ie1LFPpffusN7JF9ZTih0qJT529Y6+X8r9L+nASumO5SzYCQCAg06dOq/o6FdVVWXRJ59kKC3tN6yA7pF+ufBmUHsp6YmGt71Ubu1pqq6wLn+Q8U69T7a2GTBTuvlpZ1YLAMB148KFKlVXW/uMampqXHYehvmMuFQuvTNU+u7v9m3vHyzds0m6KVO6838aD1JX+Pg0fjcgAACoV2xsiH73u16SpMWL7ZjP3ESEKSN2L7AO221+yP5J4qZ+1mG7VkHW1xaLVHpMqvnFgxotFun0N9b/AgCAJnvyyWRJ0vvvf+eycxCmjEh6SjJPsS7AGdC24e1OH2j4Dr/lcdKyWOnU11fbTn5lbX+zH4EKAAADevfuoBEjbpArp4gTpozw85eGLWx8cnhVhbTh36RVSdKh9+q+37aL5OMnnT1yte30fskvUAq9gSE+AAAMeuqpBu7EdxImoLta7rPSqX9IQRH1h647/mJ9z7/11ba4+6XuY6SLxc1WJgAALdVtt8WoXz+T9uxxzfHpmXKl49ulL+dZvx++1Pqsvl9r16V2kLoioK0UEuva+gAAuA74+PjoxRdvu/aGTUSYcpXKMumjByRLjRT3gP2PimGOFAAATte/fz0dGk5CmHKVzx6XSr6X2sVKQ19pfNuvFknvj5EK90h/GymtzZCK9jdPnQAAwBDClCv883Pp66XW7+9YLgWGNr790Y+kI+us61X9uNn6OBr/YFdXCQAAnIAJ6K7Q+RbptvnShSIp1o4HK8ZPlGKHSTeMsA4HHv9cCu3m8jIBAIBxPJvPQY0+mw8AAHgkV/7+ZpjPmY5/IV067+4qAABAMyJMOcvZ76X30qU3+0rnjju+/5EPpFXJ0uG1zq8NAAC4DGHKGWqqrcsgXCqT2pjqX0/qWrY8KhV8Ke1Z4PTyAACA6xCmnOHLedKJ7VJAO2nESsnXz/FjjP5Ain9Qumu18+sDAAAuw918RhV+JX0xy/r90IVNvwuvQx8p/TWnlQUAAJoHPVNGXLogffh/pZoq65IGcQ+4uyIAANDMCFNG5D4nFX9jnSOV9v8kHx93VwQAAJoZw3xG9J0qnfxKSpwmtYl0dzUAAMANrsswdfToUU2cOFGFhYXy8/PTjh07FBzchMe3tOss3bORHikAAK5j12WYGj9+vP70pz9p0KBBKi4uVmBgYNMPRpACAOC6dt2Fqf3798vf31+DBg2SJIWHh7u5IgAA4M08bgL61q1blZGRoejoaPn4+GjdunV1tsnOzla3bt0UFBSklJQU5eXl2X38w4cPq23btsrIyFC/fv30wgsvOLF6AABwvfG4nqny8nIlJCRo4sSJuvvuu+u8v3r1amVlZWnJkiVKSUnRggULlJ6eroMHD6pjx46SJLPZrKqqqjr7bt68WVVVVdq2bZvy8/PVsWNH3XHHHUpKStLtt9/u8s8GAABaHo8LUyNGjNCIESMafP/ll1/Www8/rAkTJkiSlixZog0bNuiNN97Q9OnTJUn5+fkN7t+5c2f1799fMTExkqSRI0cqPz+/wTBVUVGhiooK2+vS0lJHPxIAAGjBPG6YrzGVlZXavXu30tLSbG2+vr5KS0tTbm6uXcdISkrSyZMndebMGdXU1Gjr1q3q1atXg9vPmTNHoaGhtq8rIQwAAEDysjBVVFSk6upqmUymWu0mk0kFBQV2HaNVq1Z64YUXNHjwYPXp00c9evTQXXfd1eD2M2bMUElJie3r2LFjhj4DAABoWTxumK85XGso8ZcCAwONLZ0AAABaNK/qmYqMjJSfn58KCwtrtRcWFqpTp05uqgoAAFzPvCpMBQQEKDExUTk5Oba2mpoa5eTkaMCAAS49d3Z2tuLi4pSUlOTS8wAAAO/iccN8ZWVlOnLkiO310aNHlZ+fr/DwcMXGxiorK0uZmZnq37+/kpOTtWDBApWXl9vu7nOVyZMna/LkySotLVVoaKhLzwUAALyHx4WpXbt2aciQIbbXWVlZkqTMzEwtX75c48aN06lTpzRr1iwVFBTIbDZr48aNdSalAwAANAcfi8VicXcR3uRKz1RJSYlCQkLcXQ4AALCDK39/e9WcKQAAAE9DmLITE9ABAEB9GOZzEMN8AAB4H4b5AAAAPBRhCgAAwADCFAAAgAGEKTsxAR0AANSHCegOYgI6AADehwnoAAAAHoowBQAAYABhCgAAwADCFAAAgAGEKTtxNx8AAKgPd/M5iLv5AADwPtzNBwAA4KEIUwAAAAYQpgAAAAwgTAEAABhAmAIAADCAMAUAAGAAYcpOrDMFAADqwzpTDmKdKQAAvA/rTAEAAHgowhQAAIABhCkAAAADCFMAAAAGEKYAAAAMIEwBAAAYQJiyE+tMAQCA+rDOlINYZwoAAO/DOlMAAAAeijAFAABgAGEKAADAAMIUAACAAYQpAAAAAwhTAAAABhCmAAAADCBMAQAAGECYAgAAMIAwBQAAYABhyk48mw8AANSHZ/M5iGfzAQDgfXg2HwAAgIciTAEAABhAmAIAADCAMAUAAGAAYQoAAMAAwhQAAIABhCkAAAADCFMAAAAGEKYAAAAMIEwBAAAYQJgCAAAwgDAFAABgAGEKAADAAMIUAACAAYQpO2VnZysuLk5JSUnuLgUAAHgQH4vFYnF3Ed6ktLRUoaGhKikpUUhIiLvLAQAAdnDl7296pgAAAAwgTAEAABhAmAIAADCAMAUAAGAAYQoAAMAAwhQAAIABhCkAAAADCFMAAAAGEKYAAAAMIEwBAAAYQJgCAAAwgDAFAABgAGEKAADAAMIUAACAAYQpAAAAAwhTAAAABhCmAAAADCBMAQAAGECYAgAAMIAwBQAAYMB1F6YOHjwos9ls+2rdurXWrVvn7rIAAICXauXuAppbz549lZ+fL0kqKytTt27ddPvtt7u3KAAA4LWuu56pX/rggw80bNgwBQcHu7sUAADgpTwuTG3dulUZGRmKjo6Wj49PvUNw2dnZ6tatm4KCgpSSkqK8vLwmnWvNmjUaN26cwYoBAMD1zOPCVHl5uRISEpSdnV3v+6tXr1ZWVpaeeeYZ7dmzRwkJCUpPT9fJkydt25jNZsXHx9f5OnHihG2b0tJSffHFFxo5cqTLPxMAAGi5fCwWi8XdRTTEx8dHa9eu1ejRo21tKSkpSkpK0qJFiyRJNTU1iomJ0dSpUzV9+nS7j/3mm29q06ZNeuuttxrdrqKiQhUVFbbXJSUlio2N1bFjxxQSEuLYBwIAAG5RWlqqmJgYnT17VqGhoU49tldNQK+srNTu3bs1Y8YMW5uvr6/S0tKUm5vr0LHWrFmjRx555JrbzZkzR88991yd9piYGIfOBwAA3O/06dPXd5gqKipSdXW1TCZTrXaTyaRvv/3W7uOUlJQoLy9P77333jW3nTFjhrKysmyvz549q65du+qnn35y+v+MliYpKUlffvmlu8uwmzvrdfW5nX18o8czsr+j+zqy/ZV/udLzfG1c355zbq5v+7a/MrIUHh7epNoa41VhyllCQ0NVWFho17aBgYEKDAys9xj8Zds4Pz8/r/oZubNeV5/b2cc3ejwj+zu6b1POFRIS4lV/dt2B69tzzs317di5fH2dP13c4yagNyYyMlJ+fn51glBhYaE6derkpqrQkMmTJ7u7BIe4s15Xn9vZxzd6PCP7O7qvt/059Bbe9nPl+m6+412P17dXTkBPTk7WwoULJVknoMfGxmrKlCkOTUBvqtLSUoWGhqqkpMSr/lUG4Nq4voGWy5XXt8cN85WVlenIkSO210ePHlV+fr7Cw8MVGxurrKwsZWZmqn///kpOTtaCBQtUXl6uCRMmNEt9gYGBeuaZZ+od+gPg3bi+gZbLlde3x/VMffrppxoyZEid9szMTC1fvlyStGjRIr344osqKCiQ2WzWK6+8opSUlGauFAAAwAPDFAAAgDfxqgnoAAAAnoYwBQAAYABhCgAAwADCFAAAgAGEKSdav369evbsqR49eui1115zdzkAnGjMmDEKCwvTvffe6+5SADjRsWPHlJqaqri4OPXp00fvvPOOw8fgbj4nqaqqUlxcnLZs2aLQ0FAlJibqiy++UEREhLtLA+AEn376qc6dO6cVK1bo3XffdXc5AJzk559/VmFhocxmswoKCpSYmKhDhw4pODjY7mPQM+UkeXl5uummm9S5c2e1bdtWI0aM0ObNm91dFgAnSU1NVbt27dxdBgAni4qKktlsliR16tRJkZGRKi4udugYhKnLtm7dqoyMDEVHR8vHx0fr1q2rs012dra6deumoKAgpaSkKC8vz/beiRMn1LlzZ9vrzp076/jx481ROoBrMHp9A/Bczry+d+/ererqasXExDhUA2HqsvLyciUkJCg7O7ve91evXq2srCw988wz2rNnjxISEpSenq6TJ082c6UAHMX1DbRczrq+i4uL9cADD2jp0qWOF2FBHZIsa9eurdWWnJxsmTx5su11dXW1JTo62jJnzhyLxWKxbN++3TJ69Gjb+3/4wx8sq1atapZ6AdivKdf3FVu2bLHcc889zVEmgCZo6vV98eJFy6BBgywrV65s0nnpmbJDZWWldu/erbS0NFubr6+v0tLSlJubK0lKTk7Wvn37dPz4cZWVlemjjz5Senq6u0oGYCd7rm8A3sme69tisWj8+PEaOnSo7r///iadhzBlh6KiIlVXV8tkMtVqN5lMKigokCS1atVKL730koYMGSKz2azHH3+cO/kAL2DP9S1JaWlpGjt2rD788EN16dKFoAV4AXuu7+3bt2v16tVat26dzGazzGaz9u7d69B5WjmtYmjUqFEaNWqUu8sA4AKffPKJu0sA4AK33nqrampqDB2Dnik7REZGys/PT4WFhbXaCwsL1alTJzdVBcAZuL6Blqu5rm/ClB0CAgKUmJionJwcW1tNTY1ycnI0YMAAN1YGwCiub6Dlaq7rm2G+y8rKynTkyBHb66NHjyo/P1/h4eGKjY1VVlaWMjMz1b9/fyUnJ2vBggUqLy/XhAkT3Fg1AHtwfQMtl0dc3026B7AF2rJli0VSna/MzEzbNgsXLrTExsZaAgICLMnJyZYdO3a4r2AAduP6BlouT7i+eTYfAACAAcyZAgAAMIAwBQAAYABhCgAAwADCFAAAgAGEKQAAAAMIUwAAAAYQpgAAAAwgTAEAABhAmAIAADCAMAUAAGAAYQqAx7BYLHr55Zd1ww03qE2bNho9erRKSkoa3P706dPq2LGjfvjhh+Yr0gGpqamaNm2aQ/vcd999eumll1xTEACX4Nl8ADzGE088offff1+vv/66goODNXr0aN17773685//XO/2WVlZOnfunJYtW9bMldqnuLhY/v7+ateund377Nu3T4MHD9bRo0cVGhrqwuoAOAthCoBH2LlzpwYMGKBdu3apX79+kqTZs2dr1apVOnjwYJ3tz58/r6ioKG3atEk333xzk89bWVmpgICAJu/vCklJSRo/frwmT57s7lIA2IFhPgAeYf78+Ro2bJgtSEmSyWRSUVFRvdt/+OGHCgwMrBOkNm7cqFtvvVXt27dXRESE7rrrLn333Xe291NTUzVlyhRNmzZNkZGRSk9PlyTV1NRo3rx56t69uwIDAxUbG6vnn3++1n5Tp07VtGnTFBYWJpPJpGXLlqm8vFwTJkxQu3bt1L17d3300Ue19vnlMF9qaqoeffRRPfXUUwoPD1enTp307LPP1vlsGRkZevvttx36+QFwH8IUALerqKjQhg0bNGbMmFrtFy9ebHCoa9u2bUpMTKzTXl5erqysLO3atUs5OTny9fXVmDFjVFNTY9tmxYoVCggI0Pbt27VkyRJJ0owZMzR37lzNnDlTBw4c0F//+leZTKZax16xYoUiIyOVl5enqVOnatKkSRo7dqxuueUW7dmzR8OHD9f999+v8+fPN/hZV6xYoeDgYO3cuVPz5s3T7Nmz9fHHH9faJjk5WXl5eaqoqGj8BwfAIzDMB8DtcnNzdcsttygoKEh+fn629kuXLmnIkCHauHFjnX1Gjx6tiIgIvf76640eu6ioSB06dNDevXsVHx+v1NRUlZaWas+ePbZtzp07pw4dOmjRokV66KGH6j1OamqqqqurtW3bNklSdXW1QkNDdffdd2vlypWSpIKCAkVFRSk3N1c333yzUlNTZTabtWDBgnqPIVmD09ChQzV37lxb29dff62EhAT98MMP6tq16zV+egDcrZW7CwCAQ4cOKTg4WPn5+bXa77zzTg0cOLDefS5cuKCgoKA67YcPH9asWbO0c+dOFRUV2XqkfvrpJ8XHx0tSnR6tb775RhUVFRo2bFijdfbp08f2vZ+fnyIiItS7d29b25WerJMnT9p1DEmKioqqs33r1q0lqdEeLgCegzAFwO1KS0sVGRmp7t2729p+/PFHHT58WPfcc0+9+0RGRurMmTN12jMyMtS1a1ctW7ZM0dHRqqmpUXx8vCorK23bBAcH19rnSni5Fn9//1qvfXx8arX5+PhIUq0hRXuO8evti4uLJUkdOnSwqy4A7sWcKQBuFxkZqZKSEv1y1sHzzz+vkSNHKi4urt59+vbtqwMHDtRqO336tA4ePKinn35aw4YNU69eveoNXL/Wo0cPtW7dWjk5OcY+iJPs27dPXbp0UWRkpLtLAWAHeqYAuN3QoUN18eJFzZ07V/fdd59WrVqlv//978rLy2twn/T0dM2YMUNnzpxRWFiYJCksLEwRERFaunSpoqKi9NNPP2n69OnXPH9QUJD++Mc/6qmnnlJAQIAGDhyoU6dOaf/+/XrwwQed9jnttW3bNg0fPrzZzwugaeiZAuB2JpNJy5cv16uvvqqbbrpJO3bs0Oeff66YmJgG9+ndu7f69eunNWvW2Np8fX319ttva/fu3YqPj9djjz2mF1980a4aZs6cqccff1yzZs1Sr169NG7cuEbnPrnKxYsXtW7dOj388MPNfm4ATcPdfAC81oYNG/Tkk09q37598vVtGf82fPXVV7V27Vpt3rzZ3aUAsBPDfAC81p133qnDhw/r+PHjjfZieRN/f38tXLjQ3WUAcAA9UwAAAAa0jH5xAAAANyFMAQAAGECYAgAAMIAwBQAAYABhCgAAwADCFAAAgAGEKQAAAAMIUwAAAAYQpgAAAAwgTAEAABjwv2RbN0RiyuLJAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Cauchy noise" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.stats import cauchy" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ITUUzJYBFIMSg2L+IHuDMnTsX586dw6pVq6DT6ZCUlITS0lLzQuLTp09DKv1pIun2229HcXExVq5cieeffx5xcXH45JNPkJiYCAA4e/YsPv30UwBAUlKSxWd9/vnn+NnPfib2kIjIy2QmqnFvgoqZjAOQtbU29lh4+yiUHtMxKPZjoufB8UbMg0NE5PtKjjTg6WLHimOavDhjHB6/I5ZBsY9x5Pvbp3dRERFRYNp5+CyWbTnc7/PDBocgSCphkUw/xgCHiIh8SlFJDf6wp86pa6iUA13UG/JWDHCIiMirmRYR6/RX8OXJc9h2yLniysMGBTN1QABggENERF6rtLoBL31aA12r67JRvzw7kWttAgADHCIKWNZS+fOLz3uUVjfgqU39W0TcmyfvjsX0CdEuvSZ5JwY4RBSQekvlz23C3sFgFJC37ajLrhc2OAS/m5WI6RP4ZxsoGOAQUcCxlcp/yaYqVon2Avv+fQEtl7ucvo5sgBQfPH4bpoxmRuJAI2qpBiIib2MwCijcUWMzlX/hjhoYjAGXIsxrGIwC3tpd65JrrZ6ThDvGDmdwE4AY4BBRQKmoa7aZ9VYA0KBvR0Vds/s6RWal1Q244/flqPi2xelrzZyg4iOpAMZHVEQUUJou2rcbx9525DrOZCa2RpOgctm1yPcwwCGigBI5VO7SduQc0062v1fXY6P2tEuvzT/DwMYAh4gCSkpsGNRKOXT6dqvrcCS4VnSRieDEV3KkHiu3V6O5zfnFxN3xz5AArsEhogATJJWgYGYCgGtfhN2Zfi6YmcBFqSIrKqnB08WHRAluAP4ZEgMcIgpAmYlqrF8wCSql5SMMlVLOLeJuUHKkwelaUk/cNQobFkyCmn+G1AuJIAgBtxfSkXLrROS/mMnYvQxGAftOXcCiPx9A+1Vjv64xbFAwXp6daM5GzD/DwOLI9zfX4BBRwAqSSpA2JtzT3fBL1wceP7R14LefHbe5Rb8vyzU3IWfaWIsAhn+G1BsGOERE5FLWymA4QwJg7c8nMacNOYQBDhERuUxvZTCc8c68JAY35DAuMiYiIpewVQajv568OxYPJI1w4RUpUHAGh4iIXKKvMhiOYPVvchYDHCIicondNTqXXGe5Jg450+K4G4qcwgCHiIic1nnViC0Hzzh1DeXAAXglawJz2JBLMMAhIqJ+MxgFrCk/iXX/OIWOfua2MRkUMgD3skAmuQgDHCIi6pfS6gas+NsR6K9cdcn1GvTtqKhrZl4bcgkGOERE5LDS6gY8tanK5ddtuuiaRcpEDHCIiMhuVzoN+N1nx7DlwPeiXD9yqLzvRkR2YIBDRER2WfRhBcpOnBPl2hJcK5SZEhsmyvUp8DDAIaKAwcKM/Xf3q+U43XzFqWtIAAjd/tv9OAAUzEzgnwe5DAMcIgoI1uojqZVyFMxM4LZkGzqvGnHn73ej6VKX09da+/NbIZVKevw5qPjnQCKQCILgyqzaPsGRcutE5Pt6q49kmitYv2ASv1ytePmzGrz3ZZ3T1xk2KBhFD48332POpFF/OfL9zRkcIvJrtuojmR6XFO6owb0JKn7J/qjzqhEPvLMH/2xsc+o6A4OleGrqmB5ZiYOkEm4FJ9ExwCEiv9ZXfSQBzL/SXVFJDf6wx/lZm1+lx2FZOsstkOcwwCEiv2ZvXhXmX3FNcMN1TeQtGOAQkV+zN69KoORfuX79S/KNw1D53Q84+8Nlp4ObnHvGYPm9N3PWhrwCAxwi8mspsWFQK+XQ6dutrsMJpPwr1naSSSWA0UVbTe4YG8HghryG1NMdICISU5BUgoKZCQB+2jVl4o/5VwxGAdpTF7D98FloT12A4cfoxbST7Pr1SK4KbtQBEiSS73BLgLN27VqMGjUKcrkcqampqKiosNl+69atiI+Ph1wux/jx41FSUmLx/rZt23DfffchPDwcEokEhw8fFrH3ROTrMhPVWL9gElRKy8dQKqXcr7aIl1Y34M5XypH93j48u/kwst/bhztfKUfJkfped5K5ggT+FSSSfxD9EdWWLVuQm5uLDRs2IDU1FW+++SYyMjJQW1uLyMjIHu337t2L7OxsFBUV4YEHHkBxcTFmz56NqqoqJCYmAgDa2tpw5513Ys6cOXjiiSfEHgIR+YHMRDXuTVD5bf6VkiMNeLq4Z/FLnb4dTxcfEu1zuaiYvJXoif5SU1Nx2223Yc2aNQAAo9GImJgYLFu2DHl5eT3az507F21tbdi5c6f52JQpU5CUlIQNGzZYtP32228RGxuLQ4cOISkpye4+MdEfEfm67ouF685dwptl/xL9M4OlErzxyAREKAf6ZZBI3s9rEv11dnaisrIS+fn55mNSqRQajQZardbqOVqtFrm5uRbHMjIy8Mknn/S7Hx0dHejo6DD/3Nra2u9rERF5mrXFwmJ7YIIab827lcEM+QxRA5zz58/DYDAgKirK4nhUVBROnDhh9RydTme1vU6n63c/ioqKUFhY2O/ziYi8RW9lJ8SikA/A/uc1GBgS5KZPJHKNgNhFlZ+fD71eb36dOXPG010iInKYrbITYpAAePWRCQxuyCeJOoMzfPhwBAUFobGx0eJ4Y2MjVCqV1XNUKpVD7e0hk8kgk8n6fT4RkTfoq+yEK3HxMPk6UWdwQkJCkJycjLKyMvMxo9GIsrIypKWlWT0nLS3Noj0A7Nq1q9f2RESBwl3lJLJujcZXK6YxuCGfJvo28dzcXDz22GOYPHkyUlJS8Oabb6KtrQ0LFy4EADz66KMYMWIEioqKAADPPvsspk6dijfeeAMzZszA5s2bcfDgQbz77rvmazY3N+P06dOor68HANTW1gK4NvvjzEwPEZE3c0c5icEhQXj1P5K4mJh8nugBzty5c3Hu3DmsWrUKOp0OSUlJKC0tNS8kPn36NKTSnyaSbr/9dhQXF2PlypV4/vnnERcXh08++cScAwcAPv30U3OABADz5s0DABQUFOCll14Se0hERB7xQ1uHS0srWPPGnIkMbsgviJ4HxxsxDw4R+ZrS6gY8talnIj9XCR04AL/PmsDHUuTVvCYPDhEROc9gFJC37aho1382fSyeSb+JMzfkVxjgEBGJqHvG4f5m/t337wtoudwlSv/W/XwSpk/grA35HwY4REQisZZx2N7t190Do3+caHJ537gNnPwdAxwiIhH0lnFYp2/Hkk1VNquYi1WKQSoBFt4+CpoEFWtIkd9jgENE5GK2Mg6bjhXuqMG9CaoeQYZYpRgihwRD+/y9DGooYAREqQYiIneyJ+Nwg74da8pPWhwzGAW89KnrSzEkjlCgYuV9DG4ooDDAISJyMXszDq/efRKl1Q3mn9eUn4Su1bWPpRamjcTOZXe59JpEvoABDhGRizmScbhwRw0MRgGl1Q1Yvftk3yc44D/viEXBrPEuvSaRr2CAQ0TkYimxYVAr7QtyGvTt2HfqAgo+PebSPjxxVyxWzkxw6TWJfAkDHCIiFwuSSlDgQHCRv+0wGls7XPLZYYODse7nt+KFGQxuKLBxFxURkQgyE9VYrrkJq3f/s8+2p39wPrj52c0RePLuMdz+TfQjzuAQEYkkZ9pYqBQy0T9HMy4SHy5MQdqYcAY3RD9igENEJJIgqQQvPXiLqJ+x6M5R+ONjt4n6GUS+iI+oiIhEdOj0D6Jde828W/FAUrRo1yfyZQxwiIhEYDAK+OrkOfxhT53Lry0bIMVb85JYR4rIBgY4RET91Ful8NLqBuRtOypKBfBnpo3Bs5qbudaGqA8McIiI+qG3SuEPTlSLMmsDAH/5ZQruuilClGsT+RsGOEREDuqtIGaDvl204AYAmi93inZtIn/DXVRERA6wVSlcbOcvdmD74bPQnroAg9ETPSDyHZzBISJygD2VwsUglQC//ey4+We1Uo6CmQlcaEzUC87gEBFdx2AUoD11wepsiU5/xSN9un7CRqdvx5JNVRbVyInoJ5zBIaKAdv1OqB/aOvHbz3ouHjbVluo+i+IOUknP4AYABAASXKtGfm+CiruqiK7DAIeIAlbJkXqs3F6N5jbb27l1+nY8tanKTb0CwgeHYOWMcWhu67QZUAm4trC5oq4ZaWPC3dY/Il/AR1REFJCKSmrwdPGhPoMbAG5dUCwB8PJDiXho0g0YPtS+OlZNF92/JojI2zHAIaKAU3KkQdTt3P01bFAw1i+YZF44HDlUbtd59rYjCiR8REVEAcVgFLBye7Wnu2EhdGAwFt4xCjnT4izW0qTEhkGtlEOnb7c6iyQBoFJey6BMRJYY4BBRQKmoa0Zzm2cT5smCgA8WpuL8pQ6LEg/XC5JKUDAzAUs2VUECy0dlptYFMxO4wJjICgY4RBRQvGG9ylvZk3DH2OF2tc1MVGP9gkk9ykKomAeHyCYGOETkl3orhOnJ9SpSCbAme5LDQUlmohr3JqisjoeIrGOAQ0R+p7dCmAUzE3Bvggpqpdwj2YjXZN+K6RP6N+MSJJVwKziRA7iLioj8iqkQ5vUBjCnz764aHQpmJsDdcx/DBgUjg4+TiNyGAQ4R+Q1bhTBNx0yZfxffHQt3PuH54XIXKuqa3feBRAGOj6iIyG/0VQjTlPk3p7gKf6/Wua9jP/KGBc5EgYIzOETkN+wNIDwR3ABMyEfkTpzBISK/4a0BBBPyEbkfZ3CIyOcZjAK0py5A19qOsMHBnu6OBSbkI/IMtwQ4a9euxahRoyCXy5GamoqKigqb7bdu3Yr4+HjI5XKMHz8eJSUlFu8LgoBVq1ZBrVZj4MCB0Gg0OHnypJhDICIvVVrdgDtfKUf2e/uwfMthu4pnimGwLAhP3DUKaqXlLJJKKbeoL0VE7iH6I6otW7YgNzcXGzZsQGpqKt58801kZGSgtrYWkZGRPdrv3bsX2dnZKCoqwgMPPIDi4mLMnj0bVVVVSExMBAC8+uqrePvtt/HnP/8ZsbGxePHFF5GRkYGamhrI5d45RU1ErmfaEu7Oat/WDJENwKtZEzB9ghp59ycwIR+RF5AIgiDq/xtSU1Nx2223Yc2aNQAAo9GImJgYLFu2DHl5eT3az507F21tbdi5c6f52JQpU5CUlIQNGzZAEARER0fjueeew3/9138BAPR6PaKiovDhhx9i3rx5ffaptbUVSqUSer0eCoXCRSMlIncxGAXsO3UBS4ur0HLFMzM23ZnCF87UEInLke9vUR9RdXZ2orKyEhqN5qcPlEqh0Wig1WqtnqPVai3aA0BGRoa5fV1dHXQ6nUUbpVKJ1NTUXq/Z0dGB1tZWixcR+SbTI6n57+/3iuAGsMyxYzB6ej6JiACRA5zz58/DYDAgKirK4nhUVBR0OuvbNHU6nc32pv86cs2ioiIolUrzKyYmpl/jISLP6i1LsTcw5dhhMj8i7xAQu6jy8/Oh1+vNrzNnzni6S0TkIFtZir0Jk/kReQdRFxkPHz4cQUFBaGxstDje2NgIlUpl9RyVSmWzvem/jY2NUKvVFm2SkpKsXlMmk0Emk/V3GETkZtYqgfeVpdhbeGsuHqJAI+oMTkhICJKTk1FWVmY+ZjQaUVZWhrS0NKvnpKWlWbQHgF27dpnbx8bGQqVSWbRpbW3F/v37e70mEfmO7tu+n918GNnv7cOdr5RjV41nsg93Z2szlATXKpYzmR+RdxB9m3hubi4ee+wxTJ48GSkpKXjzzTfR1taGhQsXAgAeffRRjBgxAkVFRQCAZ599FlOnTsUbb7yBGTNmYPPmzTh48CDeffddAIBEIsGvfvUr/O53v0NcXJx5m3h0dDRmz54t9nCISES9bfvW6dvxwdffur0/z0wbg9TRw3H+Ugcih8rxQ1sHlhYfAgCLPjKZH5H3ET3AmTt3Ls6dO4dVq1ZBp9MhKSkJpaWl5kXCp0+fhlT600TS7bffjuLiYqxcuRLPP/884uLi8Mknn5hz4ADAf//3f6OtrQ2LFy9GS0sL7rzzTpSWljIHDpEP66sSuASARAK4c5NS2pgIpI0Jtzi2XipB4Y4ai8dlKqUcBTMTuEWcyIuIngfHGzEPDpH30Z66gOz39nm6GxbempeEWUkjehy3tkaIMzdE4nPk+5vFNonIK3jj7qPeFgwHSSU9ZnaIyLsExDZxIvJ+3rb7KHxwCBcME/kwBjhE5FHmSuD6KwgbHAJvedDz21mJfOxE5MP4iIqIPKa0uqHHgl1v8OTdsZg+gQuGiXwZAxwi8ghvqQTe3bBBwXh5diKmT4j2dFeIyEkMcIjI7byx7MJyzU3ImTaWj6WI/AQDHCJyO0+WXZDAMklf2OBgPJQ0gguKifwMAxwicjtPbQkfLAvCKw+NR/hQOXbV6PDJ4Xo0t3Xi/a+/xftffws1E/YR+Q3uoiIit/PUlvC2DgOWbT6Mf9Q24k9ff4vmtk6L93X6dizZVIXS6gaP9I+IXIcBDhG53YWL7ZB4aKmLAOC9L+t6LQkBAIU7amBwZ00IInI5BjhE5FZFJTXI2XwYri4SIxtg///ObMUuAoAGfTsq6pqd7xQReQzX4BCRqLrXbTrVeAl/2FMnyuc8/bOxWL37ny67njeWjiAi+zHAISLRuCORnwTA2p9PQpfR6NLrelvpCCJyDB9REZEoTIn8xN4O/s68JEyfoHYoIJFK0GtJCAkAtVLObeNEPo4zOETkNINRwL5TF6D993kAEqTGhuGlT8VP5Pfk3bF4IGkEACAlNgxqpRw6fXufn/vEXbF4d09dj5w4pqCnYGYCE/4R+TgGOETklNLqBuRtO4qWy13mY2s+F/cz5QOk+L9zkizqRQVJJSiYmYAlm6p6BC4moYOC8fuHxyMzUY1bRw7r8fhMxTw4RH5DIgiu3svg/VpbW6FUKqHX66FQKDzdHSKfVVrdgKc2Vbn9c9VKOb5aMc3qLIu1dT+hg4Kx8PbYHqUYui+Ajhx67bEUZ26IvJcj39+cwSGifjEYBbz06TGPfLZpG3famPAe72UmqnFvgsquwCVIKrF6DSLyfQxwiKhfKuqaoWvt8Njn29rGzcCFiLiLioj6xdN5YriNm4hs4QwOEfWLpwIMCa4tBr5+GzfX0xBRdwxwiKhfUmLDEDkkBE2XOvtu3E/2buO2trCYlcGJAhsfURFRvxR9ViNacDNsUDDW/XwSVErLWSKVUo71CyZZBC29JRRkZXCiwMYZHCJy2Mx39uDo2YuiXFsCoOjHXDUZibZ3QxmMAgp3WE8oKPx4rcIdNbg3QcXHVUQBhgEOEdnFtMblNzuqcVx3SZTPUClkeOnBW8wzNH3thqqoa7ZZCqJ7ZXDuqiIKLAxwiKhP7iiauVxzU49EfH2xdyeXp3d8EZH7McAhIptMa1zESnnuzGJge3dycUs5UeBhgENEPZgeR9W3XMGq7UddHtzk3DMGcVFDnd7O3VeBzd62lBOR/2OAQ0QWOWS+Pd+Gv1acFjVL8R1jI1yyJsZWgU1WBicKbAxwiAKcO9bXmIgxo5KZqMb6BZNYGZyILDDAIQpgJUca8HSxe6qBizmj4kiBTSIKDAxwiAJUyZF65Pz1kGjXHyILwqUOg/lnsWdUWGCTiLpjgEMUgEqrG/B0sTjBjWlXFGdUiMiTGOAQBRhT9l9Xu+fmCCy+e4xFIMMZFSLyFAY4RAGmr+y/jpIHAf937iRMn+C/i3lZqZzI9zDAIQowu2p0LrvWTZFD8Pdf3e3XX/asVE7km0SrJt7c3Iz58+dDoVAgNDQUixYtwqVLtuvXtLe3Y+nSpQgPD8eQIUOQlZWFxsZGizbPPPMMkpOTIZPJkJSUJFb3ifyOwSjgy3+ew1/2feeyay51sLSCr2GlciLfJVqAM3/+fBw7dgy7du3Czp07sWfPHixevNjmOcuXL8eOHTuwdetWfPHFF6ivr8fDDz/co90vf/lLzJ07V6yuE/md0uoGJP92F37xQQW6DK7LS+zPJRD6qlQOXKtUbjCKVcSCiJwhyiOq48ePo7S0FAcOHMDkyZMBAO+88w6mT5+O119/HdHR0T3O0ev1eP/991FcXIxp06YBAP70pz9h3Lhx2LdvH6ZMmQIAePvttwEA586dw5EjR8ToPpFfESPXTSCUQGClciLfJsoMjlarRWhoqDm4AQCNRgOpVIr9+/dbPaeyshJdXV3QaDTmY/Hx8Rg5ciS0Wq1T/eno6EBra6vFiygQlBypFyW4Afy/BAIrlRP5NlECHJ1Oh8jISItjAwYMQFhYGHQ66wscdTodQkJCEBoaanE8Kiqq13PsVVRUBKVSaX7FxMQ4dT0iXyBWrhuVUo71Cyb5/QJbVion8m0OPaLKy8vDK6+8YrPN8ePHneqQGPLz85Gbm2v+ubW1lUEO+TWDUcCKvzn/CPdX6XF4+p6xqPzuB6/eIi3GNm5WKifybQ4FOM899xwef/xxm21Gjx4NlUqFpqYmi+NXr15Fc3MzVCqV1fNUKhU6OzvR0tJiMYvT2NjY6zn2kslkkMlkTl2DyBeYvug3ar+F/srVfl/n+m3Q3rzGRKxt3KxUTuTbHApwIiIiEBER0We7tLQ0tLS0oLKyEsnJyQCA8vJyGI1GpKamWj0nOTkZwcHBKCsrQ1ZWFgCgtrYWp0+fRlpamiPdJApIrqgK/njajchIVHvlLI01pm3c18+wmLZxO/sojZXKiXyXKLuoxo0bh8zMTDzxxBPYsGEDurq6kJOTg3nz5pl3UJ09exbp6enYuHEjUlJSoFQqsWjRIuTm5iIsLAwKhQLLli1DWlqaeQcVAPzrX//CpUuXoNPpcOXKFRw+fBgAkJCQgJCQEDGGQ+T1evuid8QTd43CCzNucVmfxNbXNm4Jrm3jvjdB5VSwxkrlRL5JtEzGH330EXJycpCeng6pVIqsrCzzFm8A6OrqQm1tLS5fvmw+tnr1anPbjo4OZGRkYN26dRbX/c///E988cUX5p9vvfVWAEBdXR1GjRol1nCIvI7pcZROfwW//ey4k8FNLF6YkeCyvrmDO7dxs1I5ke+RCIIQcFmqWltboVQqodfroVAoPN0dIoe54nGUyRDZAPx21i1QKQf61MzE9sNn8ezmw322e2teEmYljRC/Q0QkOke+v1mLisjHuOJxVHeXOq5i+f98A8C3aixxGzcR2SJaqQYicj1b605cwZdqLJm2cfc23yTBtYCN27iJAhMDHCIfsvfkeZc8luqNL9VYMm3jBtAjyOE2biJigEPk5QxGAdpTF7Dowwr84k8Von9e98W53s60jVultHwMFSjZlomod1yDQ+SlDEYBa8r/hT99XYeWK11u/3xfqbHEbdxEZA0DHCIvVFrdgLxtR9Fy2TWBzXLNTdh84LRDj7d8aXEut3ET0fUY4BB5kWuzNiexevdJl1zPVC8pZ9pY5Ewbey1vTms7frvzGJrbrAdPrLFERP6AAQ6RlyitbsBLn9ZA1+qaR0PWFtqaZjkGBkuxZFMVANZYIiL/xEXGRF7AlNvGmeBmqNzy3yu2FtpycS4R+TvO4BB5mMEoIG/bUady20glQMXzGhw+02L3QlsuziUif8YAh8hDrnQa8H9KavDFP885vZj4ibtiMTAkyOGFtlycS0T+igEOkQc8sfEAdtU0OX0dqeRacJM/3bcKZRIRiY0BDpGbORvcDAwOQkpsGO6OG45fpI1CyAAupSMiuh4DHCI3MRgFfHXyXL+DG4U8CIvuHI2caXFcJ0NE1AcGOERuUHKkASu3V6O5rbPf11i/YDLuGDvchb0iIvJfDHCIRGIwCqioa8YfvzyFshPnnL7e+UsdLugVEVFgYIBDJIJrSfuOQdfquqDEl0onEBF5GgMcIhcrrW7AUz9mCXaV0EHBLJ1AROQABjhE1zE9WupP8juDUUBO8SGX92nh7bFcWExE5AAGOETdlFY3oHBHjUXVbbVSjoKZCX2WLzAYBdz/5he4anQmJ3FPoYOCkTNtrEuvSUTk75hAg+hHpnpQ3YMbANDp27FkUxVKqxtsnpv2f3bhn01tDn9u0I8TM73Nz/z+4fGcvSEichADHCJcm30p3FFjtR6U6VjhjhoYrMzOmAKjpkv9K7ewbFocNlgpfKlWyrGBhS+JiPqFj6iIAFTUNfeYuelOANCgb0dFXbO5dpPBKGDfvy8g72/OFcqMjRjMwpdERC7GAIcIQNPF3oMba+2srdXpL9P2bxa+JCJyHQY4RLA/x0zkULn5kZSzS4klAFRKObd/ExGJgGtwiACkxIZBrZT3utBXgmtrYpJvHNbrWh1HmD6nYGYCH0MREYmAAQ4Rrj0eKpiZAKDnbqbuwUjldz+45LGUSinHei4gJiISDR9REf0oM1GN9Qsm9Vhbo+qWB2f74bMOX/fuuOFYNz8ZR8/quYCYiMhNGOAQddN9N5OutR3NlzoQNjgEyoEhMBgFh+tBLbpjFF6ceQsAcAExEZEbMcAhuk6QVAL9lU68WnqiR0bjF2ckQK2U2/2YSpOgEqubRERkA9fgEF3HVkbjpcVVeHBi3+tmTIuSuUOKiMgzGOAQdWNPRuNPv2nAup/fitBBwVavwR1SRESexwCHqBt7MxoPGyxD5cp7sVxzE0IHWgY63CFFROR5XINDAc9gFMwlEk42XrTrnKaL7QiSSvCsJg4508ayxAIRkZdhgEMBrb8lF7rvpmKJBSIi7yPqI6rm5mbMnz8fCoUCoaGhWLRoES5dumTznPb2dixduhTh4eEYMmQIsrKy0NjYaH7/m2++QXZ2NmJiYjBw4ECMGzcOb731lpjDID/V22JiW7h4mIjIN4ga4MyfPx/Hjh3Drl27sHPnTuzZsweLFy+2ec7y5cuxY8cObN26FV988QXq6+vx8MMPm9+vrKxEZGQkNm3ahGPHjuGFF15Afn4+1qxZI+ZQyM/YWkzcGy4eJiLyHRJBEJwtq2PV8ePHkZCQgAMHDmDy5MkAgNLSUkyfPh3ff/89oqOje5yj1+sRERGB4uJiPPLIIwCAEydOYNy4cdBqtZgyZYrVz1q6dCmOHz+O8vJyu/rW2toKpVIJvV4PhULRzxGSL9OeuoDs9/Y5dI66W0ZjIiJyP0e+v0Vbg6PVahEaGmoObgBAo9FAKpVi//79eOihh3qcU1lZia6uLmg0GvOx+Ph4jBw50maAo9frERbGRwZkv6aL9j2WyrlnLOKihnDxMBGRjxEtwNHpdIiMjLT8sAEDEBYWBp1O1+s5ISEhCA0NtTgeFRXV6zl79+7Fli1b8Nlnn/Xal46ODnR0dJh/bm1ttXMU5K/sLblwx9jhXEBMROSDHF6Dk5eXB4lEYvN14sQJMfraQ3V1NWbNmoWCggLcd999vbYrKiqCUqk0v2JiYtzSP/JeKbFhUCvlPSqHm3AxMRGRb3N4Bue5557D448/brPN6NGjoVKp0NTUZHH86tWraG5uhkplvT6PSqVCZ2cnWlpaLGZxGhsbe5xTU1OD9PR0LF68GCtXrrTZn/z8fOTm5pp/bm1tZZAT4IKkEhTMTMCSTVWQABaLjbmYmIjI9zkc4ERERCAiIqLPdmlpaWhpaUFlZSWSk5MBAOXl5TAajUhNTbV6TnJyMoKDg1FWVoasrCwAQG1tLU6fPo20tDRzu2PHjmHatGl47LHH8PLLL/fZF5lMBplMZs/wKIBkJqqxfsGkHnlwVFxMTETk80TbRQUA999/PxobG7FhwwZ0dXVh4cKFmDx5MoqLiwEAZ8+eRXp6OjZu3IiUlBQAwJIlS1BSUoIPP/wQCoUCy5YtA3BtrQ1w7bHUtGnTkJGRgddee838WUFBQXYFXgB3UZGl7pmMuZiYiMh7ecUuKgD46KOPkJOTg/T0dEilUmRlZeHtt982v9/V1YXa2lpcvnzZfGz16tXmth0dHcjIyMC6devM73/88cc4d+4cNm3ahE2bNpmP33jjjfj222/FHA75KWYiJiLyP6LO4HgrzuAQERH5Hke+v1lNnIiIiPwOAxwiIiLyOwxwiIiIyO8wwCEiIiK/wwCHiIiI/A4DHCIiIvI7DHCIiIjI7zDAISIiIr/DAIeIiIj8jqilGohsYQ0oIiISCwMc8ojS6oYeVbzVrOJNREQuwkdU5Hal1Q1YsqnKIrgBAJ2+HUs2VaG0usFDPSMiIn/BAIfcymAUULijBtYqvJqOFe6ogcEYcDVgiYjIhRjgkFtV1DX3mLnpTgDQoG9HRV2z+zpFRER+hwEOuVXTxd6Dm/60IyIisoYBDrlV5FC5S9sRERFZw11UJBpr28BTYsOgVsqh07dbXYcjAaBSXmtLRETUXwxwSBQlRxqwcns1mts6zcdM28ALZiZgyaYqSACLIMeUAadgZgLz4RARkVP4iIpcrqikBk8XV1kEN8C1xcNLNlUBANYvmASV0vIxlEopx/oFk5gHh4iInMYZHHKpkiP1+MOeul7fF3BtG/hXK6bh3gQVMxkTEZEoGOCQyxiMAlZur+6znWkbeNqYcKSNCXdDz4iIKNDwERW5TEVdM5rbuuxqy23gREQkJgY45DKOBC3cBk5ERGJigEMuY2/QEj44hNvAiYhIVAxwyGVMOW768ttZiVxMTEREomKAQy4TJJWgYGYCbIUuT94di+kTuA2ciIjExQCHXCozUY31Cyb1mMkJGxyMdT+/FfnTEzzUMyIiCiTcJk4ul5moZo4bIiLyKAY4JIogqYQ5boiIyGP4iIqIiIj8DgMcIiIi8jsMcIiIiMjvMMAhIiIiv8MAh4iIiPwOAxwiIiLyOwxwiIiIyO+IGuA0Nzdj/vz5UCgUCA0NxaJFi3Dp0iWb57S3t2Pp0qUIDw/HkCFDkJWVhcbGRvP7Fy5cQGZmJqKjoyGTyRATE4OcnBy0traKORQiIiLyIaIGOPPnz8exY8ewa9cu7Ny5E3v27MHixYttnrN8+XLs2LEDW7duxRdffIH6+no8/PDDP3VYKsWsWbPw6aef4p///Cc+/PBD7N69G0899ZSYQyEiIiIfIhEEQRDjwsePH0dCQgIOHDiAyZMnAwBKS0sxffp0fP/994iOju5xjl6vR0REBIqLi/HII48AAE6cOIFx48ZBq9ViypQpVj/r7bffxmuvvYYzZ87Y1bfW1lYolUro9XooFIp+jpCIiIjcyZHvb9FmcLRaLUJDQ83BDQBoNBpIpVLs37/f6jmVlZXo6uqCRqMxH4uPj8fIkSOh1WqtnlNfX49t27Zh6tSpvfalo6MDra2tFi8iIiLyX6IFODqdDpGRkRbHBgwYgLCwMOh0ul7PCQkJQWhoqMXxqKioHudkZ2dj0KBBGDFiBBQKBf74xz/22peioiIolUrzKyYmpn+DIiIiIp/gcICTl5cHiURi83XixAkx+mph9erVqKqqwvbt23Hq1Cnk5ub22jY/Px96vd78svdRFhEREfkmh6uJP/fcc3j88cdtthk9ejRUKhWamposjl+9ehXNzc1QqVRWz1OpVOjs7ERLS4vFLE5jY2OPc1QqFVQqFeLj4xEWFoa77roLL774ItRqdY/rymQyyGQy+wZIREREPs/hACciIgIRERF9tktLS0NLSwsqKyuRnJwMACgvL4fRaERqaqrVc5KTkxEcHIyysjJkZWUBAGpra3H69GmkpaX1+llGoxHAtbU2RERERKLtogKA+++/H42NjdiwYQO6urqwcOFCTJ48GcXFxQCAs2fPIj09HRs3bkRKSgoAYMmSJSgpKcGHH34IhUKBZcuWAQD27t0LACgpKUFjYyNuu+02DBkyBMeOHcOvf/1rhIWF4auvvrKrX9xFRURE5Hsc+f52eAbHER999BFycnKQnp4OqVSKrKwsvP322+b3u7q6UFtbi8uXL5uPrV692ty2o6MDGRkZWLdunfn9gQMH4r333sPy5cvR0dGBmJgYPPzww8jLyxNzKERERORDRJ3B8VacwSEiIvI9XpEHh4iIiMhTGOAQERGR32GAQ0RERH6HAQ4RERH5HQY4RERE5HcY4BAREZHfYYBDREREfocBDhEREfkdBjhERETkdxjgEBERkd9hgENERER+hwEOERER+R0GOEREROR3GOAQERGR32GAQ0RERH6HAQ4RERH5HQY4RERE5HcY4BAREZHfYYBDREREfmeApzvgTwxGARV1zWi62I7IoXKkxIYhSCrxdLeIiIgCDgMcFymtbkDhjho06NvNx9RKOQpmJiAzUe3BnhEREQUePqJygdLqBizZVGUR3ACATt+OJZuqUFrd4KGeERERBSYGOE4yGAUU7qiBYOU907HCHTUwGK21ICIiIjEwwHFSRV1zj5mb7gQADfp2VNQ1u69TREREAY4BjpOaLvYe3PSnHRERETmPAY6TIofKXdqOiIiInMcAx0kpsWFQK+XobTO4BNd2U6XEhrmzW0RERAGNAY6TgqQSFMxMAIAeQY7p54KZCcyHQ0RE5EYMcFwgM1GN9QsmQaW0fAylUsqxfsEk5sEhIiJyMyb6c5HMRDXuTVAxkzEREZEXYIDjQkFSCdLGhHu6G0RERAGPj6iIiIjI7zDAISIiIr/DAIeIiIj8DgMcIiIi8jsMcIiIiMjviBrgNDc3Y/78+VAoFAgNDcWiRYtw6dIlm+e0t7dj6dKlCA8Px5AhQ5CVlYXGxkarbS9cuIAbbrgBEokELS0tIoyAiIiIfJGoAc78+fNx7Ngx7Nq1Czt37sSePXuwePFim+csX74cO3bswNatW/HFF1+gvr4eDz/8sNW2ixYtwoQJE8ToOhEREfkwiSAIghgXPn78OBISEnDgwAFMnjwZAFBaWorp06fj+++/R3R0dI9z9Ho9IiIiUFxcjEceeQQAcOLECYwbNw5arRZTpkwxt12/fj22bNmCVatWIT09HT/88ANCQ0Pt6ltrayuUSiX0ej0UCoXzgyUiIiLROfL9LdoMjlarRWhoqDm4AQCNRgOpVIr9+/dbPaeyshJdXV3QaDTmY/Hx8Rg5ciS0Wq35WE1NDX7zm99g48aNkEr7HkJHRwdaW1stXkREROS/RMtkrNPpEBkZaflhAwYgLCwMOp2u13NCQkJ6zMRERUWZz+no6EB2djZee+01jBw5Ev/+97/77EtRUREKCwt7HGegQ0RE5DtM39v2PHxyOMDJy8vDK6+8YrPN8ePHHb2s3fLz8zFu3DgsWLDAoXNyc3PNP9fV1SEpKQkxMTFidJGIiIhEdPHiRSiVSpttHA5wnnvuOTz++OM224wePRoqlQpNTU0Wx69evYrm5maoVCqr56lUKnR2dqKlpcViFqexsdF8Tnl5OY4ePYqPP/4YwE9R3PDhw/HCCy9YnamRyWSQyWTmn2+88UYAwOnTp/u8Qf6qtbUVMTExOHPmTECuQwr08QO8BwDvQaCPH+A98LXxC4KAixcvWl3Hez2HA5yIiAhERET02S4tLQ0tLS2orKxEcnIygGvBidFoRGpqqtVzkpOTERwcjLKyMmRlZQEAamtrcfr0aaSlpQEA/va3v+HKlSvmcw4cOIBf/vKX+PLLLzFmzBi7xmBat6NUKn3iD1RMCoUioO9BoI8f4D0AeA8CffwA74Evjd/eiQnR1uCMGzcOmZmZeOKJJ7BhwwZ0dXUhJycH8+bNM0deZ8+eRXp6OjZu3IiUlBQolUosWrQIubm5CAsLg0KhwLJly5CWlmbeQXV9EHP+/Hnz59m7i4qIiIj8m2gBDgB89NFHyMnJQXp6OqRSKbKysvD222+b3+/q6kJtbS0uX75sPrZ69Wpz246ODmRkZGDdunVidpOIiIj8jKgBTlhYGIqLi3t9f9SoUT1WQsvlcqxduxZr16616zN+9rOf2bWaujuZTIaCggKLdTmBJtDvQaCPH+A9AHgPAn38AO+BP49ftER/RERERJ7CYptERETkdxjgEBERkd9hgENERER+hwEOERER+R2/DXCam5sxf/58KBQKhIaGYtGiRbh06ZLNc9rb27F06VKEh4djyJAhyMrKQmNjo9W2Fy5cwA033ACJRIKWlhYRRuAcMcZ/4cIFZGZmIjo6GjKZDDExMcjJyfHaml5i3INvvvkG2dnZiImJwcCBAzFu3Di89dZbYg+lX8T6O/DMM88gOTkZMpkMSUlJIo7AcWvXrsWoUaMgl8uRmpqKiooKm+23bt2K+Ph4yOVyjB8/HiUlJRbvC4KAVatWQa1WY+DAgdBoNDh58qSYQ3Caq+/Btm3bcN999yE8PBwSiQSHDx8WsffOc+X4u7q6sGLFCowfPx6DBw9GdHQ0Hn30UdTX14s9DKe4+nfgpZdeQnx8PAYPHoxhw4ZBo9H0WjTbqwh+KjMzU5g4caKwb98+4csvvxTGjh0rZGdn2zznqaeeEmJiYoSysjLh4MGDwpQpU4Tbb7/dattZs2YJ999/vwBA+OGHH0QYgXPEGH9zc7Owbt064cCBA8K3334r7N69W7j55pv7vK6niHEP3n//feGZZ54R/vGPfwinTp0S/vKXvwgDBw4U3nnnHbGH4zCx/g4sW7ZMWLNmjfCLX/xCmDhxoogjcMzmzZuFkJAQ4YMPPhCOHTsmPPHEE0JoaKjQ2Nhotf3XX38tBAUFCa+++qpQU1MjrFy5UggODhaOHj1qbvP73/9eUCqVwieffCJ88803woMPPijExsYKV65ccdewHCLGPdi4caNQWFgovPfeewIA4dChQ24ajeNcPf6WlhZBo9EIW7ZsEU6cOCFotVohJSVFSE5OduewHCLG78BHH30k7Nq1Szh16pRQXV0tLFq0SFAoFEJTU5O7htUvfhng1NTUCACEAwcOmI/9/e9/FyQSiXD27Fmr57S0tAjBwcHC1q1bzceOHz8uABC0Wq1F23Xr1glTp04VysrKvDLAEXv83b311lvCDTfc4LrOu4g778HTTz8t3HPPPa7rvAu4Y/wFBQVeFeCkpKQIS5cuNf9sMBiE6OhooaioyGr7OXPmCDNmzLA4lpqaKjz55JOCIAiC0WgUVCqV8Nprr5nfb2lpEWQymfDXv/5VhBE4z9X3oLu6ujqvD3DEHL9JRUWFAED47rvvXNNpF3PHPdDr9QIAYffu3a7ptEj88hGVVqtFaGgoJk+ebD6m0WgglUp7nVarrKxEV1cXNBqN+Vh8fDxGjhwJrVZrPlZTU4Pf/OY32Lhxo7mmlbcRc/zd1dfXY9u2bZg6daprB+AC7roHAKDX6xEWFua6zruAO8fvDTo7O1FZWWnRd6lUCo1G02vftVqtRXsAyMjIMLevq6uDTqezaKNUKpGamuqV90OMe+BL3DV+vV4PiUTilaWB3HEPOjs78e6770KpVGLixImu67wIvPMb2kk6nQ6RkZEWxwYMGICwsDDodLpezwkJCenxSxsVFWU+p6OjA9nZ2XjttdcwcuRIUfruCmKN3yQ7OxuDBg3CiBEjoFAo8Mc//tGl/XcFse+Byd69e7FlyxYsXrzYJf12FXeN31ucP38eBoMBUVFRFsdt9V2n09lsb/qvI9f0JDHugS9xx/jb29uxYsUKZGdne2VhSjHvwc6dOzFkyBDI5XKsXr0au3btwvDhw107ABfzqQAnLy8PEonE5uvEiROifX5+fj7GjRuHBQsWiPYZtnh6/CarV69GVVUVtm/fjlOnTiE3N1f0zzTxlnsAANXV1Zg1axYKCgpw3333ueUzvWn8RIGkq6sLc+bMgSAIWL9+vae743b33HMPDh8+jL179yIzMxNz5sxBU1OTp7tlk6i1qFztueeew+OPP26zzejRo6FSqXrc+KtXr6K5uRkqlcrqeSqVCp2dnWhpabH4F2xjY6P5nPLychw9ehQff/wxAJhrYA0fPhwvvPACCgsL+zky+3h6/N3bqlQqxMfHIywsDHfddRdefPFFqNXqfo3LEd5yD2pqapCeno7Fixdj5cqV/RpLf3jL+L3N8OHDERQU1GPHl62+q1Qqm+1N/21sbLT43W5sbPS63WOAOPfAl4g5flNw891336G8vNwrZ28Ace/B4MGDMXbsWIwdOxZTpkxBXFwc3n//feTn57t2EK7k6UVAYjAtsDx48KD52P/+7//atcDy448/Nh87ceKExQLLf/3rX8LRo0fNrw8++EAAIOzdu7fXFeqeINb4rfniiy8EAEJdXZ3L+u8KYt6D6upqITIyUvj1r38t3gCc5I7fAW9cZJyTk2P+2WAwCCNGjLC5uPKBBx6wOJaWltZjkfHrr79ufl+v13v9ImNX3oPufGWRsavH39nZKcyePVu45ZZbvH7XkCCI+zvQ3ejRo4WCggKn+ysmvwxwBOHaFtlbb71V2L9/v/DVV18JcXFxFltkv//+e+Hmm28W9u/fbz721FNPCSNHjhTKy8uFgwcPCmlpaUJaWlqvn/H555975S4qQRBn/J999pnwwQcfCEePHhXq6uqEnTt3CuPGjRPuuOMOt47NXmLcg6NHjwoRERHCggULhIaGBvPLG//HJ9bfgZMnTwqHDh0SnnzySeGmm24SDh06JBw6dEjo6Ohw29is2bx5syCTyYQPP/xQqKmpERYvXiyEhoYKOp1OEARB+MUvfiHk5eWZ23/99dfCgAEDhNdff104fvy4UFBQYHWbeGhoqLB9+3bhyJEjwqxZs7x+m7ir78GFCxeEQ4cOCZ999pkAQNi8ebNw6NAhoaGhwe3j64urx9/Z2Sk8+OCDwg033CAcPnzY4u+8p3/fe+Pqe3Dp0iUhPz9f0Gq1wrfffiscPHhQWLhwoSCTyYTq6mqPjNFefhvgXLhwQcjOzhaGDBkiKBQKYeHChcLFixfN75v+NfL555+bj125ckV4+umnhWHDhgmDBg0SHnroIZt/ib05wBFj/OXl5UJaWpqgVCoFuVwuxMXFCStWrPDK8QuCOPegoKBAANDjdeONN7pxZPYR6+/A1KlTrd4Db5jFe+edd4SRI0cKISEhQkpKirBv3z7ze1OnThUee+wxi/b/8z//I9x0001CSEiIcMsttwifffaZxftGo1F48cUXhaioKEEmkwnp6elCbW2tO4bSb66+B3/605+s/nl767/eXTl+098Ra6/uf2+8jSvvwZUrV4SHHnpIiI6OFkJCQgS1Wi08+OCDQkVFhbuG028SQfhxIQkRERGRn/CpXVRERERE9mCAQ0RERH6HAQ4RERH5HQY4RERE5HcY4BAREZHfYYBDREREfocBDhEREfkdBjhERETkdxjgEBERkd9hgENERER+hwEOERER+R0GOEREROR3/h8mpFEemqF/BAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] + cauchy.rvs(size = catalog[\"shear_1\"].shape[0], scale = 0.0001)\n", + "shear2 = catalog[\"shear_2\"] + cauchy.rvs(size = catalog[\"shear_2\"].shape[0], scale = 0.0001)\n", + "convergence = catalog[\"convergence\"] + cauchy.rvs(size = catalog[\"convergence\"].shape[0], scale = 0.0001)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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SJEmVwpQpUwgODi7rbpTIzz//jLu7Oy1atHiudkaNGsWnn35aSr0qrDS/tgYGBkyZMoWPPvqoVNorD2QwJUmSJFUKpqamWFlZlXU3ik2tVrNw4ULGjBnzXO0olUq2bt1K7969S6lnhZX213bIkCEcPHiQ8+fPl1qbZUkGU5IkSRIAGRm5ZGTkolarNcdyc5VkZOSSk5P/2GtVqoJr8/LEtdnZxbu2JJKSkrC3t2f27NmaY4cPH8bAwEAzYlKSqaiRI0fSt29fZsyYgY2NDWZmZowfP57c3Nwi71EoFGzcuFHrmLm5OUuXLgXE9NXEiRNxcHDAyMgIV1dXvvrqqyLbCwsLIzo6mh49emiODRw4kIkTJ2qev/feeygUCi5evKh5DRMTE/bs2aP1ddDX18ff3/+xr9OuXTsmTZrEhx9+iKWlJfb29kyfPl3rmuvXr9OnTx9MTU0xMzNj0KBBJCQkaM7/+2sbEhJCkyZNMDExwdzcnJYtW3Lt2jXN+U2bNtGoUSOMjIzw8PBgxowZ5OcXfF9YWFjQsmVLVq5cWeTXpyKRwZQkSZIEgKnpAkxNF3DnTpbm2Jw5JzA1XcDEidpTPLa2P2FquoDr19M0x4KCwjE1XcCYMTu1rnVz+w1T0wVcuHBXc2zp0pKNSNjY2LB48WKmT5/OyZMnuX//PsOGDWPixIl07NixRG09FBwczIULFwgJCeHvv/9m/fr1zJgx45naAliwYAGbN29m9erVXLp0iRUrVuDm5lbk9aGhoXh7e1O1alXNsbZt2xISEqJ5vn//fqytrTXHTpw4QV5enta04ObNm+nVqxcKhaLI1/rf//6HiYkJx44d49tvv2XmzJns3r0bAJVKRZ8+fUhOTmb//v3s3r2bq1evEhgY+Ni28vPz6du3L23btuXs2bMcOXKEN998U/P6oaGhDB8+nHfffZfIyEh++eUXli5dyqxZs7TaadKkSaXZK1FuJyNJkiRVCN27d2fcuHEMGTIEPz8/TExMnjjy8zQGBgYsXrwYY2Nj6tSpw8yZM5k6dSpffvklOjolH2u4fv06Xl5etGrVCoVCgaur6xOvv3btGo6OjlrH2rVrx7vvvktSUhJ6enpERkby2WefERISwvjx4wkJCcHf3x9jY2PNPZs2beL7779/4mvVr1+fL774AgAvLy8WLlxIcHAwnTp1Ijg4mHPnzhETE4OzszMAy5Yto06dOpw4caLQiFdaWhqpqan07NkTT09PAGrVqqU5P2PGDD7++GNGjBgBgIeHB19++SUffvihpg8Ajo6OWqNZFZkMpiRJkiQA0tMnAWBsrK85NnWqP++91wg9Pe3gIjHxbQCqVCm4dsIEX8aNq4eurva1sbHjCl07cmSdZ+rj3LlzqVu3LmvWrCEsLAxDQ8NnagegQYMGWkFJ8+bNSU9PJy4u7qmB0OOMHDmSTp064ePjQ9euXenZsyedO3cu8vqsrCyMjIy0jtWtWxdLS0v279+PgYEBDRs2pGfPngQFBQFipKpdu3aa6y9cuMCtW7eeOjpXv359recODg4kJiZq2nB2dtYEUgC1a9fG3NycCxcuFAqmLC0tGTlyJF26dKFTp04EBAQwaNAgHBwcADhz5gyHDh3SGolSKpVkZ2eTmZmp+ZpXqVKFzMzMJ/a7opDTfJIkSRIAJiYGmJgYaE0XGRjoYmJigKGh3mOv1dEpuFZfX1xrZFS8a59FdHQ0t27dQqVSERsb+0xtPCuFQqGVTwaQl5en+bxRo0bExMTw5ZdfkpWVxaBBgxg4cGCR7VlbW3Pv3r1Cr9GmTRtCQkI0gVP9+vXJyckhIiKCw4cP07ZtW831mzdvplOnToWCsn/T19fXeq5QKFCpVE99z0VZsmQJR44coUWLFqxatQpvb2+OHj0KQHp6OjNmzCA8PFzzOHfuHFeuXNHqZ3JyMjY2Ns/ch/JEBlOSJElShZCbm8vQoUMJDAzkyy+/ZOzYsZrRlWdx5swZsrIK8sOOHj2Kqamp1gjNo2xsbIiPj9c8v3LlSqGRFTMzMwIDA/ntt99YtWoV69atIzk5+bHtNWzYkIsXLxYK0B7mTYWEhNCuXTt0dHRo06YNc+bMIScnh5YtW2qu3bRpE3369Cnxe39UrVq1iIuLIy4uTnMsMjKSlJQUateuXeR9DRs25JNPPuHw4cPUrVuXv/76CxBB5aVLl6hRo0ahx6PTpxERETRs2PC5+l5eyGCqmIKCgqhdu3aRqyUkSZKkF2vatGmkpqayYMECPvroI7y9vRk9evQzt5ebm8uYMWOIjIxk27ZtfPHFF0ycOLHIfKkOHTqwcOFCTp8+zcmTJxk/frzWiM93333H33//zcWLF7l8+TJr1qzB3t4ec3Pzx7bXvn170tPTC5UHaNeuHZGRkZw/f55WrVppjq1YsUKTKwaQmJjIyZMn6dmz5zN/DQACAgKoV68eQ4YM4dSpUxw/fpzhw4fTtm1b/Pz8Cl0fExPDJ598wpEjR7h27Rq7du3iypUrmrypzz//nGXLljFjxgzOnz/PhQsXWLlyZaE6WKGhoU+cBq1IZDBVTBMmTCAyMpITJ06UdVckSZJeOSEhIcyfP5/ly5djZmaGjo4Oy5cvJzQ0lEWLFj1Tmx07dsTLy4s2bdoQGBhI7969C5UMeNS8efNwdnamdevWvPHGG0yZMkUr56pq1ap8++23+Pn54e/vT2xsLNu2bSsyOLOysqJfv36sWLFC63i9evUwNzfH19cXU1NTQARTSqVSK19qy5YtNGnSBGtr62d6/w8pFAo2bdqEhYUFbdq0ISAgAA8PD1atWvXY642Njbl48SIDBgzA29ubN998kwkTJvDWW28B0KVLF7Zu3cquXbvw9/enWbNmfP/991p5aEeOHCE1NfWJ06AViUL97/FF6YnS0tKoVq0aqampmJmZlXV3JEmSSiQ7O5uYmBjc3d2fmmdTmY0cOZKUlJRCdaNetrNnz9KpUyeio6M1gVNx9e7dm1atWvHhhx++oN69OIGBgTRo0ID//ve/pdruk76/X+TvbzkyJUmSJEllpH79+nzzzTfExMSU+N5WrVoxePDgF9CrFys3N5d69erx/vvvl3VXSo0sjSBJkiRVOk8a5dm+fftL7MnTjRw58pnuq4gjUiDqe73IfQTLggymJEmSpEonPDy8yHPVq1endevWL68zUqUngylJkiSp0qlRo0ZZd0F6hcicKUmSJEmSpOcggylJkiRJkqTnIIMpSZIkSZKk5yCDKUmSJEmSpOcggylJkiRJkqTnIIMpSZIkqVKYPn06vr6+L6z92NhYFArFE8suvCyfffYZb775Zll344lK++v18ccf884775RKW6VNbidTQv8uR//PP9F4e1vg6WmBjo6irLsnSZL0RJV5O5n09HRycnKwsrJ6Ie0rlUqSkpKwtrZGT6/sKgvdvn0bb29vzp07p7XfXUnt37+foUOHEhcXV4q9K1DaX687d+7g4eFBeHg4Hh4ej72mrLaTkXWmnlPv3htRqdQYGenRoIEN9evbUL++NQ0a2OLra0vVqgZl3UVJkqRXgqmpaYn3tysJXV1d7O3tX1j7xfX777/TokWL5wqkADZt2kSvXr1KqVeFlfbXy9rami5durBo0SLmzJlTau2WBjnN9xxu3rzPw4G97Ox8jh2L57ffzvLOO3tp02YlDRsu07r+3LlEcnOVZdFVSZKkp8vLEI9HJyyUueJYfk4R16oeuTbvwbXZxbu2BJKSkrC3t2f27NmaY4cPH8bAwIDg4GCgZNN8I0eOpG/fvsyePRs7OzvMzc2ZOXMm+fn5TJ06FUtLS5ycnFiyZInmnn9PW4WEhKBQKAgODsbPzw9jY2NatGjBpUuXCr3Oo9577z3atWuneb527Vrq1atHlSpVsLKyIiAggIyMjCL7vnLlSq0gaOvWrZibm6NUit8v4eHhKBQKPv74Y801Y8eOZejQoVrtbN68md69ez/2NZYuXYq5uTk7d+6kVq1amJqa0rVrV+Lj4zXXqFQqZs6ciZOTE4aGhvj6+rJjx44iv1737t1jyJAh2NjYUKVKFby8vLS+vnFxcQwaNAhzc3MsLS3p06cPsbGxWv3q1asXK1euLPJrU1ZkMPUcqlevSmbmexw9OoTIyFGsXNmT//63KY6OJgDY2hprrr19O5369ZdhZPQ9TZosZ8qUENavv0xCQtH/YSRJkl6qBabikXWn4NiJOeLY3ona1/5kK46nXS84Fh4kju0co33tb27i+N0LBcfOLy1R12xsbFi8eDHTp0/n5MmT3L9/n2HDhjFx4kQ6duxYorYe2rt3L7du3eLAgQN89913fPHFF/Ts2RMLCwuOHTvG+PHjeeutt7hx48YT25k2bRrz5s3j5MmT6OnpMXr06GL3IT4+nsGDBzN69GguXLhASEgI/fv3p6gMnOTkZCIjI/Hz89Mca926Nffv3+f06dOAmL6ztrYmJCREc83+/fu1Arjz58+TmJhIhw4diuxbZmYmc+fOZfny5Rw4cIDr168zZcoUzfkffviBefPmMXfuXM6ePUuXLl3o3bs3V65ceWx7n332GZGRkWzfvp0LFy6waNEirK2tAcjLy6NLly5UrVqV0NBQDh06pAngcnNzNW00adKEGzduFAqyypqc5nsOt26lY2trTNOmDgDUqmVFYGBN3n7bl2PH4vHystBcu2+fmJNWq+HEiQROnEhg3jxxzthYj3Hj6jN/ftHf1JIkSa+67t27M27cOIYMGYKfnx8mJiZ89dVXz9yepaUlCxYsQEdHBx8fH7799lsyMzP573//C8Ann3zC119/zcGDB3n99deLbGfWrFm0bdsWEEnSPXr0IDs7u1g5afHx8eTn59O/f3/NtF29evWKvP769euo1WocHR01x6pVq4avry8hISH4+fkREhLC+++/z4wZM0hPTyc1NZWoqChNH0FM8XXp0gUDg6JTUfLy8vj555/x9PQEYOLEicycOVNzfu7cuXz00Uear80333zDvn37mD9/PkFBQY/te8OGDTWBoJubm+bcqlWrUKlU/P777ygUIv94yZIlmJubExISQufOnQE07/vatWta95c1GUw9h3r1lpKamoOzc1Xc3Krh7i4ebm5muLqakZOj5OzZJAwMdGjY0Jbduwdy8WIyJib6HD9+m0OHbnLu3B0yM/NJSysYQj948AZvvbWLTp3cGDy4Fo0a2aKvr1uG71SSpFfCpHTxUa9gVB3/qdD4PVD869fF24kPrq1ScMx3AtQfB4p//bwaF1v42jojn6mLc+fOpW7duqxZs4awsDAMDQ2fqR2AOnXqoKNTMEFjZ2dH3bp1Nc91dXWxsrIiMTHxie3Ur19f87mDg/jjOjExERcXl6f2oUGDBnTs2JF69erRpUsXOnfuzMCBA7GwsHjs9VlZWQCFArW2bdsSEhLC5MmTCQ0N5auvvmL16tUcPHiQ5ORkHB0d8fLy0ly/adMmJk7812jjvxgbG2sCqYfv7eHXIi0tjVu3btGyZUute1q2bMmZM2ce295//vMfBgwYwKlTp+jcuTN9+/alRYsWAJw5c4aoqCiqVq2qdU92djbR0dGa51WqiO+hzMzMJ/b9ZZPB1DPKyMglIyMPpVJNbGwasbFphIQUb0WEoaEuvr62tGvnTLdu7ly9msLbb/tqzv/xxzkiI5OJjEzmhx9OYWysR6tWTjRv7sCAAV7UrWujidwlSZJKjb5J4WO6BuJRrGv1xaO41z6D6Ohobt26hUqlIjY29omjOE+jr6/dB4VC8dhjKpWKJ3n0noc/mx/eo6OjU2jKLi+vIF9MV1eX3bt3c/jwYXbt2sWPP/7ItGnTOHbsGO7u7oVe6+G02L1797CxsdEcb9euHYsXL+bMmTPo6+tTs2ZN2rVrR0hICPfu3dMalYqPj+f06dP06NGj2O/r4Xt7ngIA3bp149q1a2zbto3du3fTsWNHJkyYwNy5c0lPT6dx48asWLGi0H2Pvs/k5ORCx8oDGUw9IxMTAzIz3+P27QxiYlKJjU198DGNmJhU4uLuk5OTT26uitxc5YOH+DwnR8mxY/EcO1aQyLd793WaNnVg3Lh6tGxZnePHb6NSqUlMzCQ5OZtdu2LZtSuWGTOO8MsvnXjzzQYAqNVqGVhJkvRKyM3NZejQoQQGBuLj48PYsWM5d+4ctra2Zd21ItnY2BAREaF1LDw8vFAA1rJlS1q2bMnnn3+Oq6srGzZs4IMPPijUnqenJ2ZmZkRGRuLt7a05/jBv6vvvv9cETu3atePrr7/m3r17TJ48WXPtli1baNGiBZaWls/8vszMzHB0dOTQoUNagdqhQ4do0qRJkffZ2NgwYsQIRowYQevWrZk6dSpz586lUaNGrFq1Cltb2yeWLYiIiEBfX586deo8c99fBBlMPQcdHQWOjqY4OprSsmX1Yt2jVqu5ejWV48fjOX78NsePx3PqVCKpqTmagMnb24IPP2zC0KG10NfXJTLyDn//fZGvvjqGWg39+xcM1Q4YsImjR+Pp1cuTESPq0LSpA7q6cl2BJEmVz7Rp00hNTWXBggWYmpqybds2Ro8ezdatW8u6a0Xq0KEDc+bMYdmyZTRv3pw///yTiIgIGjZsCMCxY8cIDg6mc+fO2NracuzYMZKSkqhVq9Zj29PR0SEgIICDBw9qrRK0sLCgfv36rFixgoULFwLQpk0bBg0aRF5enlbA86RVfCUxdepUvvjiCzw9PfH19WXJkiWEh4c/dnQJ4PPPP6dx48bUqVOHnJwctm7dqnmfQ4YMYc6cOfTp00ezQvDatWusX7+eDz/8ECcnJwBCQ0Np3bq1ZrqvvHhlf+tmZmbi6uqqtTLhZVAoFHh6mjN4cC2+/749hw69QVraO5w+PZzPPmuGhYURly/fY+zYnXh6/s78+WG4uVVj1qzW3L8/iSNHBmNtXZDPsGfPNeLjM/j117O0bPk3NjY/MXDgJubMOU5iolwpKElS5RASEsL8+fNZvnw5ZmZm6OjosHz5ckJDQ1m0aFFZd69IXbp04bPPPuPDDz/E39+f+/fvM3z4cM15MzMzDhw4QPfu3fH29ubTTz9l3rx5dOvWrcg2x44dy8qVKwtNP7Zt2xalUqlZtWdpaUnt2rWxt7fHx8cHgIyMDIKDg0slmJo0aRIffPABkydPpl69euzYsYPNmzdr5WY9ysDAgE8++YT69evTpk0bdHV1NWUOjI2NOXDgAC4uLvTv359atWoxZswYsrOztUaqVq5cybhx456776Xtla2APm3aNKKionB2dmbu3LnFvu9FVlAFuH8/l19/PcN334Vx65ZIBrWwMOLtt3156636ODtrv2ZQ0CmWL4/EyqoKR47Ec+9eQX0XPT0dsrPfkyNVkiRpVOYK6K8KtVpN06ZNef/99xk8eHCJ7l2/fj2ffvopkZGRL6h3L8727duZPHkyZ8+eLbKiellVQH8lf8teuXKFixcvPjHyLytVqxowebI/V6+O5bffOuPlZcG9e9nMmnUUN7ff6NdvI3v2XNMkAU6Y0IijR4fyzz8DSEx8m0OHBtO5s1he6+FRTRNIqdVqGjT4H++8E8zFi3fL7P1JkiRJz0ehUPDrr7+Sn59f4ntNTU355ptvXkCvXryMjAyWLFlSplv5FKXcjUwdOHCAOXPmEBYWRnx8PBs2bChUPTYoKIg5c+Zw+/ZtGjRowI8//vjEhLd/69OnD3PmzOHw4cNERESUq5Gpf1MqVWzcGEVQ0GlNrSoAb28L3n7blxEj6mBuXvivy9TUHFJTs3FxqQbAtm3R9OixQXO+Th0rBgzwZsAAb+rVs5ZJ7JL0inhVRqaetK3M9u3bad269UvsjfSyyL35HsjIyKBBgwaMHj2a/v37Fzq/atUqPvjgA37++WeaNm3K/Pnz6dKlC5cuXdKs6PD19X1sxL5r1y5OnDiBt7c33t7eHD58+IW/n+elq6ujCXoiI+/w00/hLFsWyeXL93jvvX1MnhyCra0xdnYm2Ns//GiCnZ0x9vYmXL2air29Cfr6uvj62nDjRjopKTmcP3+X8+ePMHPmESwtjZgzpw2jR9d/an8kSZIqgodbmDxO9erFWzAkScVV7kamHqVQKAqNTDVt2hR/f3/NagWVSoWzszPvvPOO1j5ERfnkk0/4888/0dXVJT09nby8PCZPnsznn3/+2OtzcnLIySkoqJmWloazs/NLG5l6nPv3c/nzz0iCgk5z/nzxp+wMDXWxtzfBza0adepYEROTwvbtsQB8/3073ntPVKWNi0sjKysfb+9nXzYrSVL59KqMTEmvprIamapQwVRubi7GxsasXbtWK8AaMWIEKSkpbNq0qUTtL1269KnTfNOnT2fGjBmFjpdlMPWQWq0mPj6D27czSEh4+DGT27cLPn94PjU1p9D9Li5V8fe358aN++zf/zqGhmKgsn37VYSExFGrliXjx/sSGOiDnd1jiu5JklThyGBKqszkNF8x3LlzB6VSiZ2dndZxOzs7Ll68+EJe85NPPtEqnPZwZKo8UCgK6lw9TVZWnia42rkzhqCgcK5fv8/16/epWtWA//43lEmTGuHiYsbp0wkAXLiQzLvv7uWDD/YREODC0KF16Nu3BqamRe/lJEmSJEmvmgoVTJW2kSNHPvUaQ0PD59r7qbyoUkUfN7dquLlVo3lzRz76qAkrVlzgu+9OcuFCMt99F8b8+afo06cG//d/rQgPT8THx5K1ay9z/Phtdu68xs6d17CyMiIpaYJMWJckSZKkBypUaQRra2t0dXVJSEjQOp6QkIC9vX0Z9apiqlJFn7Fj6xMRMYrt2wfQqZMrKpWaDRuu8M47e9m9+xpZWfmsW9eHy5fHULeuFQDu7tU0gZRSqWLQoM0cPHjjufZrkiRJkqSKrEIFUwYGBjRu3Jjg4GDNMZVKRXBwMM2bN3+hrx0UFETt2rXx9/d/oa/zsunoKOja1Z1du17j/PmRvPdeYywsjLh+/T5ffHEYV9df+eCDfYwf78v77zdi1Ki6HDp0k9OnE5g9+yhr1lymdeuV1Ky5mNmzj3L9elpZvyVJkiRJeqnKXQJ6eno6UVFRADRs2JDvvvuO9u3bY2lpiYuLC6tWrWLEiBH88ssvNGnShPnz57N69WouXrxYKJfqRXjZdabKQnZ2PuvWXea3386yf/+NEt/v52fH+PENGDSoJlWryvwqSSpPKnMC+vTp09m4ceMTyyKURLt27fD19WX+/Pml0t7j5ObmUrt2bZYtW0aLFi2KvG7kyJGkpKSwcePGF9aX59GsWTOmTp3KgAEDyrQfMgH9gZMnT9K+fXvN84fJ3yNGjGDp0qUEBgaSlJTE559/zu3bt/H19WXHjh0vJZB6VRgZ6TFkSG2GDKnNxYt3+eOPc5w+nUhmZj4ZGXlkZuY9+JjP/fu5qFTa8fjJkwmMHbuLatUMGTjQp4zehSRJr5opU6bwzjvvlHU3SuTnn3/G3d1dE0jFxsbi7u7O6dOn8fX1LdvOlcCnn37K+++/T79+/dDRqVCTXqWi3AVT7dq1e2r+zcSJE5k4ceJL6tGrrWZNK+bMaVfk+czMPHbvvsamTVFs3RpNUlKW5tzIkTs4fPgW773XmMmTQ9DVVTBpUiOaN3eUCeySJJU6U1PTJ1Y+L2/UajULFy5k5syZZd2VIuXm5mJg8PQZhm7dujF27Fi2b99Ojx49XkLPypdXL3yUSpWxsT59+tRg8eKuxMf/h4MHB/PBB41xczMjIyOP778Pw9Pzd9auvcyqVZdo2fJvatT4nU8/Pcj583fKuvuSJFUQSUlJ2NvbM3v2bM2xw4cPY2BgoMmjnT59erFHc0aOHEnfvn2ZMWMGNjY2mJmZMX78eHJzc4u8R6FQFJpmMzc3Z+nSpYAIPCZOnIiDgwNGRka4urry1VdfFdleWFgY0dHRWsGHu7s7INJcFAoF7dq107pn7ty5ODg4YGVlxYQJE8jLy9Ocy8nJYcqUKVSvXh0TExOaNm1KSEiI1v3r1q2jTp06GBoa4ubmxrx587TOu7m58eWXXzJ8+HDMzMx488036dChQ6EBjKSkJK2vva6uLt27d2flypVFvt/KrNyNTJVXQUFBBAUFoVQqy7or5Zaurg4tW1anZcvqzJ3bjp07Y/n22+Naewrq6Ci4ejWVWbOOMmvWUVxcTPn00xaMGye3spGksqJWq8nMzHv6hS+AsbF+sUaqbWxsWLx4MX379qVz5874+PgwbNgwJk6cSMeOHZ/ptYODgzEyMiIkJITY2FhGjRqFlZUVs2bNeqb2FixYwObNm1m9ejUuLi7ExcURFxdX5PWhoaF4e3tTtWpVzbHjx4/TpEkT9uzZQ506dbRGhfbt24eDgwP79u0jKiqKwMBAfH19GTduHCBmbSIjI1m5ciWOjo5s2LCBrl27cu7cOby8vAgLC2PQoEFMnz6dwMBADh8+zNtvv42VlZVWqaC5c+fy+eef88UXXwBw7NgxJk6cyLx58zSlgv7880+qV69Ohw4dNPc1adKEr7/++pm+dhWdDKaKacKECUyYMEGTwCY9mUIhVgl27erOiRPxfPvtCdatu1wov+r69XTefnsPs2YdpWpVA2rVsqRfPy8CA2uioyOnAiXpZcjMzMPUdEGZvHZ6+iRMTIq3UKV79+6MGzeOIUOG4Ofnh4mJyRNHfp7GwMCAxYsXY2xsTJ06dZg5cyZTp07lyy+/fKa8n+vXr+Pl5UWrVq1QKBS4uro+8fpr167h6OiodczGxgYAKyurQiV/LCwsWLhwIbq6utSsWZMePXoQHBzMuHHjuH79OkuWLOH69euaNqdMmcKOHTtYsmQJs2fP5rvvvqNjx4589tlnAHh7exMZGcmcOXO0gqkOHTowefJkzfPq1aszceJENm3axKBBgwCxg8jIkSO1AmFHR0fi4uJQqVSvXN7Uq/VupTLh7+/AmjW9uXx5DOPHN8DCQnuFRX6+imvX0oiIuMOaNZd5441/MDaeT48e6zhxIr6Mei1JUnk0d+5c8vPzWbNmDStWrHiuosoNGjTA2NhY87x58+akp6c/cTTpSUaOHEl4eDg+Pj5MmjSJXbt2PfH6rKysEq2orFOnDrq6uprnDg4OJCYmAnDu3DmUSiXe3t6a3DFTU1P2799PdHQ0ABcuXKBly5ZabbZs2ZIrV65ozbr4+flpXWNkZMSwYcNYvHgxAKdOnSIiIqJQ4esqVaqgUqm09rN9VciRKemlqVHDgkWLOrFoUSdUKjXp6bncu5etWRWYnJzNsGHbuHMni5wcJdu2xbBtWwzm5ob061eDd99tTP36NjJ5XZJKmbGxPunpk8rstUsiOjqaW7duoVKpiI2NpV69ei+oZ4UpFIpCC6QezVlq1KgRMTExbN++nT179jBo0CACAgJYu3btY9uztrbm3LlzxX59fX3tr5VCoUClUgGirJCuri5hYWFaARdQ4qR8E5PCe7GOHTsWX19fbty4wZIlS+jQoUOhkbfk5GRMTEyoUqVKiV6vMpDBlFQmdHQUmJkZYmam/Vfl6NF1+eWXMzRt6sDRo/GkpeWSkpLDkiXnWbLkPH36eDJ4cC26dnXHzMxABlaSVAoUCkWxp9rKUm5uLkOHDiUwMBAfHx/Gjh3LuXPnsLW1fab2zpw5Q1ZWluaX/9GjRzE1NS1y/1UbGxvi4wtGy69cuUJmZqbWNWZmZgQGBhIYGMjAgQPp2rUrycnJWFpaFmqvYcOGLFq0CLVarflZ9jBHqqT5uQ0bNkSpVJKYmEjr1q0fe02tWrU4dOiQ1rFDhw7h7e1dKAD7t3r16uHn58dvv/3GX3/9xcKFCwtdExERQcOGDUvU78pCBlPFJBPQX45vvmnLzJktMTDQRaFQEBJynTFjdnL1aioAmzZFs2lTNHp6OpiZGWBnZ0yfPjUYNMgHX19bGVxJUiU2bdo0UlNTWbBgAaampmzbto3Ro0ezdevWZ2ovNzeXMWPG8OmnnxIbG8sXX3zBxIkTi8z36dChAwsXLqR58+YolUo++ugjrdGi7777DgcHBxo2bIiOjg5r1qzB3t4ec3Pzx7bXvn170tPTOX/+PHXr1gXA1taWKlWqsGPHDpycnDAyMipWnq63tzdDhgxh+PDhzJs3j4YNG5KUlERwcDD169enR48eTJ48GX9/f7788ksCAwM5cuQICxcu5KeffirW12vs2LFMnDgRExMT+vXrV+h8aGgonTt3LlZblY3MmSqmCRMmEBkZyYkTJ8q6K5WeoaGeJihq186FWbNa0769M++/35gPP/SnVi1L8vNVJCdnc+FCMl9/fZxGjZajr/8dTk4/06PHOr7//iQXL94t43ciSVJpCQkJYf78+SxfvhwzMzN0dHRYvnw5oaGhLFq06Jna7NixI15eXrRp04bAwEB69+7N9OnTi7x+3rx5ODs707p1a9544w2mTJmilXNVtWpVvv32W/z8/PD39yc2NpZt27YVGZxZWVnRr18/VqxYoTmmp6fHggUL+OWXX3B0dKRPnz7Ffj9Llixh+PDhTJ48GR8fH/r27cuJEydwcXEBxDTk6tWrWblyJXXr1uXzzz9n5syZhXKfijJ48GD09PQYPHhwoVyvmzdvcvjwYUaNGlXs/lYm5W47mfLuVdhOpiLYsiWKwMCt5OWJkcL8/Md/G7du7cSUKX7Y2Bjj62tDlSoly8+QpMqmMm8nUxLlZXuWs2fP0qlTJ6Kjo8t9wdHY2Fg8PT05ceIEjRo10jr30Ucfce/ePX799dcy6p0gt5ORpBLo1asGGRnvcudOFtbWVYiNTWXDhig+//wQGRl52NhUISUlh9DQG4SGiv0FFQpo2NCWFi2q4+dnh6+vLbVrW6Gv/+RcAUmSpBelfv36fPPNN8TExLzUZPqSyMvL4+7du3z66ac0a9asUCAFYnry4fZvryIZTEkVlkKhwMZGDLG7u5vz/vuNadzYjl27Ypk61Z+MjDx+/PE08+eHkZOjRK2GU6cSOXUqUdOGvr4Os2a1YurUJgDk5irJzMzD3PzV/YtdkiqDJ43ybN++/SX25OmKO81WVg4dOkT79u3x9vYucmXio3WpXkVymq+E5DRfxfPll4f5v/87ipGRHmlphbeKsLGpQt261ri4mKFUqvnzz0icnatSr5419erZaD7WrGmJgYEcxZIqtldlmi8qKqrIc9WrV38ll++/Cspqmk8GU8X06Gq+y5cvy2CqgsnJyScjQ2zK/PPPZ4iIuMOdO1lPv/ERuroKli/vzuDBtQC4ezeLu3ez8PQ0R1dXruWQKoZXJZiSXk0ymKog5MhU5ZCfr+LChbtERt7B3t6UuLj7XL+exrx5J0lOztZc5+pqhqGhLpcv3wPg4MHBtGxZHYD33tvLDz+cwshIFz8/e/z9Cx6enuayTINULslgSqrMZAK6JL1Eeno6D6bwbLSOf/JJU3bsiCEoKJxt265y7VoaIJLXra2rEB+fTlTUPdzdq7F9ewwA2dlKDh68ycGDNzXtmJjos3fvIJo0cXh5b0qSJEkqEzKYkqRHKBQKunXzoFs3Dy5dSua7707yv/+dJydHSVJSFq+9tgUAIyM9qlUzwNbWmO7d3WnQwIaoqBR2777G5cv3yMjIw8OjoNDeu+/u5cSJeDp0cKVNGydatHDE1LT8V5yWJEmSnk5O85WQnOZ79SQmZrB8eSSnTydy/vxdLly4S06OdiV8hQLatHGiZcvq3LqVgampPj/+2BEAtVqNsfF8srML7jEw0KV9e2d69vSgVy9PXF2fXuFYkkqDnOaTKjOZM1VByGBKUipVXL2ayvnzd4iIuMPOnbFaU3x6ejp06uTK4ME16dvXi6ysPBo3Xk5CQiYDB3pz+PAtzfQhQJUquqSkTJIrBaWXQgZTUmVWVsGUXIIkSSWkq6uDl5cFfft68emnzQkNHcy1a2/y7bdtaNjQlvx8Fdu3xzB8+Hbs7H7i3Xf3sWhRJ86fH8Vff/UkJmYckZGjqF3bCgAvr4KSCyqVmsaNl/Puu3s5cuRWoR3qJUkq2vTp0/H19X1h7cfGxqJQKAgPD39hr1Fcn332GW+++eYTrwkJCUGhUJCSkvJyOlVCP//8M7169SrrbpQKOTJVQnJkSnqaS5eS+fvvC/z110WuXLmnOW5tXYVBg3wYOrQ2zZo5sHNnLLt2xTJiRB0aNBC73i9dGsGoUTs097i4VOW113wIDPTBz89erhCUnltlHplKT08nJycHKyurF9K+UqkkKSkJa2tr9PTKLuX49u3beHt7c+7cOVxdXQFo164dvr6+zJ8/X3NdSEgI7du35969e0VutlyWcnNzcXd3Z+XKlbRu3bpU2pQjU+VcUFAQtWvXxt/f/9kayEmDiyth21DYPgKurIe8zNLtpFQu+PhYMn16Sy5dGs3x40N4991G2NkZc+dOFj/9FE6LFn9hZ/cT33xznJwcJaGhN9i79zrx8eno6EC1agZ4elbD1FSf69fvM2/eSZo0WYGr6y+sXXuprN+eJJVbpqamLyyQAtDV1cXe3r5MAymA33//nRYtWmgCqfImN7dwceTHMTAw4I033mDBggUvuEcvngymimnChAlERkZy4sSJ4t+UmQhnf4f13WGRDfwzGC6sgMhlsHkA/GQDmwfChb9EsCVVKgqFAn9/B+bP78CNG+PZuXMgw4bVxsREn6SkLEJC4vjpp3DeeWcvHTuuxtHxZ95/P4QBA7wJCgogIeE/rFvXm169PACIi0snIyNP0/6dO5kkJ5es8KgkVVRJSUnY29sze/ZszbHDhw9jYGBAcHAwULJpvpEjR9K3b19mz56NnZ0d5ubmzJw5k/z8fKZOnYqlpSVOTk4sWbJEc8+/p/keTqMFBwfj5+eHsbExLVq04NKlS4Ve51Hvvfce7dq10zxfu3Yt9erVo0qVKlhZWREQEEBGRkaRfV+5cqXW9NjIkSPZv38/P/zwAwqFAoVCQWxsrOZ8WFhYkf0D2LRpE40aNcLIyAgPDw9mzJhBfn6+5vz169fp06cPpqammJmZMWjQIBISEjTnH37df//9d82I0LJly7CysiInJ0frtfr27cuwYcM0z3v16sXmzZvJyqrYP8tkaYTSlnkHLq+BSyvh5kFQqwrOWfiAVz9Q5sKVdZB2TXy8sg50DcC1M7SdC5Y+Zdd/6YXQ09Ohc2c3Ond245df8jh//i6RkXcfFA4Vj6tXU0lOzmbx4ggWL46gVi1LRo+ux+TJ/mRl5XPrVjpvvFFL0+aQIf8QHHyd7t09GDasNj16eGBsrF+G71KqsNRqyC+jkXI9Y7Ec9ilsbGxYvHgxffv2pXPnzvj4+DBs2DAmTpxIx44dn+ml9+7di5OTEwcOHODQoUOMGTOGw4cP06ZNG44dO8aqVat466236NSpE05OTkW2M23aNObNm4eNjQ3jx49n9OjRHDp0qFh9iI+PZ/DgwXz77bf069eP+/fvExoaWmS+ZHJyMpGRkfj5+WmO/fDDD1y+fJm6desyc+ZMQHy9HgZUT+pfaGgow4cPZ8GCBbRu3Zro6GhNLtYXX3yBSqXSBFL79+8nPz+fCRMmEBgYSEhIiKYPUVFRrFu3jvXr16Orq4uXlxeTJk1i8+bNvPbaawAkJibyzz//sGvXLs19fn5+5Ofnc+zYMa0As6KRwVRpyMuE6C1w4U+I3QGqgogeu8ZQox949Qergl+EtJ0LiadFIHV5Hdy7BFe3igCs9zpw6fDy34f0UlSpoo+fnz1+fvZax7Oz8zl69BZLlkSwZs1lLlxIZurU/ejp6dCzpwezZhXkFOTmKtm3Lw6lUs2WLdFs2RKNiYk+vXt78vrrNenSxQ1DQ/nfWyqm/ExYUPTGwC/UpHTQNynWpd27d2fcuHEMGTIEPz8/TExM+Oqrr575pS0tLVmwYAE6Ojr4+Pjw7bffkpmZyX//+18APvnkE77++msOHjzI66+/XmQ7s2bNom3btgB8/PHH9OjRg+zs7GLlpMXHx5Ofn0///v0103b16tUr8vrr16+jVqtxdHTUHKtWrRoGBgYYGxtjb29f6J4n9W/GjBl8/PHHjBgxAgAPDw++/PJLPvzwQ7744guCg4M5d+4cMTExODs7A7Bs2TLq1KnDiRMnNKkvubm5LFu2DBubgkLIb7zxBkuWLNEEU3/++ScuLi5aQZOxsTHVqlXj2rVrT/1alWfyp+2zUikhdjdcXCGCobz0gnO2jaDWEPAeCGYuj79foQC7RuLR8v/gbiTsGgfxR2BdFwj4BeqNfjnvRSoXjIz0aNfOhXbtXPjxx46sXHmRxYsjOHYsno0bo9i4MQpbW2OGDq3Fa6/5MG1aM7ZsiaZDBxfWrLlEbGwaf/99kb//voijoyk3brwlE9alSmfu3LnUrVuXNWvWEBYWhqGh4TO3VadOHXR0CrJd7OzsqFu3rua5rq4uVlZWJCYmPrGd+vXraz53cBC7HiQmJuLiUsTP/0c0aNCAjh07Uq9ePbp06ULnzp0ZOHAgFhYWj73+4XRYSRYPPKl/Z86c4dChQ8yaNUtzjVKpJDs7m8zMTC5cuICzs7MmkAKoXbs25ubmXLhwQRNMubq6agVSAOPGjcPf35+bN29SvXp1li5dysiRIwv9XKpSpQqZmRU7h1gGU88qM1EEPTwYijVzEwFUrSHaI1DFoVCAdR0YtBd2jBJThLvGwL3L0Ho2KGRq26vGzMyQN99swJtvNuD8+TssXnyOP/+8QGJiJt99F8Z334XRqJEdI0fWYfDgmnzzTRuOH79Nnz4bSEjIxMOjmuYHVk5OPkOG/EPbts706OGBh4d52b45qfzRMxYjRGX12iUQHR3NrVu3UKlUxMbGPnEU52n09bWnxRUKxWOPqVQqnuTRex7+v3t4j46OTqEpu7y8gtxHXV1ddu/ezeHDh9m1axc//vgj06ZN49ixY7i7uxd6LWtrawDu3btXKHh5lv6lp6czY8YM+vfvX+i+kgRsJiaFRxcbNmxIgwYNWLZsGZ07d+b8+fP8888/ha5LTk4u9nspr2Qw9axMHcD7NahiJQIoxxbFmvd/Ij0j6PEXWHjD0Zlw4htIuQLdloN+yX7gSJVHnTrWzJvXnq+/bsOOHbEsXRrBli3RnDqVwKlTCXzwQQh+fna0bevMRx814cqVFCZPbqy5/8cfT7Nu3RXWrbvCpEl78fGxpFs3d5o3d6BJEwdcXc3kCNarTqEo9lRbWcrNzWXo0KEEBgbi4+PD2LFjOXfuHLa2tmXdtSLZ2NgQERGhdSw8PLxQgNOyZUtatmzJ559/jqurKxs2bOCDDz4o1J6npydmZmZERkbi7e2tOW5gYIBSqSx0/dM0atSIS5cuUaNGjceer1WrFnFxccTFxWlGpyIjI0lJSaF27dpPbX/s2LHMnz+fmzdvEhAQoDXCBSI4zs7OpmHDhiXue3kig6nn0WtV6bepUEDLGWDhJUanrqyHtOvQd7MI4J6VWg15GZCdDPqmUMWy9PosvRT6+rr06uVJr16e3LmTyd9/X2Tp0vOcOpXA0aPxHD0aD4COjoITJ+Jp29aZtm2dCQsTq26qVzclISGTS5eSuXQpmYflaObObcvkyWKoPiMjl/T0PGxtjWWAJZU706ZNIzU1lQULFmBqasq2bdsYPXo0W7duLeuuFalDhw7MmTOHZcuW0bx5c/78808iIiI0wcOxY8cIDg6mc+fO2NracuzYMZKSkqhV6/EzHDo6OgQEBHDw4EGtVYJubm4cO3aM2NhYTE1NsbQs3s/4zz//nJ49e+Li4sLAgQPR0dHhzJkzRERE8H//938EBARQr149hgwZwvz588nPz+ftt9+mbdu2WknwRXnjjTeYMmUKv/32G8uWLSt0PjQ0FA8PDzw9PYvV3/JKzh+VV7WHwsA9YGQFCSdhsTfsew9Srj75PmUeXP1H1LJa1RaW1oWfHeEHI/ixKvzmCots4fg3IsCSKiRra2PeeacRYWHDiIkZx9KlXRk1qi4eHtVQqdScPJnAvHkn6d17A6tWXcTT05z27V34/ffO/PprJ15/vWDFaJ061prPV626iL39Imxtf6JDh1VMmhTMr7+e4fDhm6Sl5TyuK5L0UoSEhDB//nyWL1+OmZkZOjo6LF++nNDQUBYtWlTW3StSly5d+Oyzz/jwww/x9/fn/v37DB8+XHPezMyMAwcO0L17d7y9vfn000+ZN28e3bp1K7LNsWPHsnLlSq3pxylTpqCrq0vt2rWxsbHh+vXrxe7f1q1b2bVrF/7+/jRr1ozvv/9ekwyvUCjYtGkTFhYWtGnThoCAADw8PFi1qniDCdWqVWPAgAGYmpoWKhEB8PfffzNu3LhitVWeyQroxRQUFERQUBBKpZLLly+/vAro96Jgy2uQFC6eK3TAsw80/gCqtxQjWWo1JIaL+lUX/xL5XEXR0StYbejZB7ouBSPzF/sepJfqxo377N8fx/79Nzhw4AaXLiUXusbV1YzcXCX29sYcOPA6pqYiidfb+w+tqu3/tm1bf7p1E3Wv4uPTSU/Pw9PTHB0dOYpVUVTmCuivCrVaTdOmTXn//fcZPHhwWXfnqTp27EidOnUKFec8f/48HTp04PLly1SrVjqbvcuNjiuIMtlORq2Ga7sg7HuI3Vlw3M4P3LtC1Ea488icvLEt1HwDHJqJnC4jKzGtZ2Ql8iLO/QZ73xH1rsw9odc6sG3wct6L9NIlJGQQGioCqwMHbnD2bJLWoKSxsR4BAa506+bOF18cIjExi7/+6kFurpKIiDvs3x/H2bN3yMlRcvXqWNzdzQH4v/87wmefHcLERJ9mzRxo396F9u2d8fe3R19fbtpcXslgqnIIDw/n3LlzWgUwy5t79+4REhLCwIEDiYyMxMdHu4binj17UCqVdOnSpdReUwZTFUSZ7813NxLC5otRKOUj0y66hmKkqc5wUfxT9ynFG2+fhC0DReFQPSPouAjqjnyRPZfKieTkLPbti2P79hi2bbtKfLx2peUaNcwJDPShXz8vGjWyY9q0g3z11TFef70mf/3VQ5NLFRCwmgMHbpCXp73SycREn1atqrNkSVccHMqodpFUpFclmDI1Lfp7b/v27aW2F5xUNDc3N+7du8dnn33GlClTXsprymCqgijzYOqhzCQ48zPcOSuCJ+/XSj5dl5UM24dCzHbxvN44aP8D6Fcp3v1qNWQliREvHTkSURGp1WrOnEli27arbNsWw5Ejt1CpCn4kODtXpU0bJ8zNDend25POncVS7YSEDOztF6FQQGjo64SHJ7F373X27r1OSkoOJib63Ls3UTNCtWfPNeztjalbt2Ivf64MXpVgKioqqshz1atXp0qVYv6ckyoUGUxVEOUmmCotahUcnQWHvwDUUMUaao+A+uOK3tYm+x5E/immC++cg2oe0PAdqDsaDCvB1+QVdvduFv/8c5VNm6LYsSOGzMyCav7VqhnSrZs7ffrUoFYtS77++jj37mWzY8dAzTVDhvzD+vWXGTOmHgsXBgAiYPP2/oOoqBRq17bi9ddrEhjog7e3XFFaFl6VYEp6NclgqoKodMHUQ7G7YedoSL9RcMypjRit8hogpgJvHBAB1OW12lOMDxlUhTqjRGBl8fiaJVLFkZWVR3DwdTZtimLz5mgSEwsqFOvr69CunTN9+tSgd29PnJ3F/4VGjZZx+nQi+/YNol07Uf05ISGDkSO3s3dvHLm5BXVwmjVzYMyYegQG1qRqVYOX++ZeYQ9/2bi5ucnRGanSycrKIjY2VgZT5V2lDaZArPKL2Q5nf4OYfwo2aTY0FyNWKY8Mm9vUF4FWjX5iT8FTP0DyhQcnFeDRE/yniIBMqvCUShXHjsWzaVMUmzZFF1oh2LixHX371qBv3xooFFCjhoVmb8Dp0w/xww+n+PrrNhgZ6bJy5UV2776GUil+9IwaVZfFi7u+9Pf0qnq4ItnW1hYrK6uy7o4klaq7d++SmJiIt7c3urra6ScymCpHKnUw9aj7NyBiCUT8IZLUQRT7rDlYTAHa+WlXfFer4dpuEVTFbCs47jUA2n1X9B6FUoV06VLyg8AqiiNHbmmtDqxRw/xBYOVFkyb2tG27iiNHbrF6dS9ee01MHd++ncGyZef5449z/PprZ9q2fVhZ+Q7//HOVgQO9NasGpdIXHx9PSkoKtra2GBvLAq1SxadWq8nMzCQxMRFzc3PNHoSPksFUOfLKBFMPqZQQt09UTnfvDgbFWJ2VfEmUcTj3mxjd0jOGZtOg8WTQe8ympDlpotL7lXViBKz5F1DNrdTfivRiJCRksGVLNBs3RrFnzzVycgqm8uzsjBkwwAtHR1M+/rgpurqiTvDZs0ncuZOFn58dVasaaH6ZT5oUzI8/ngagYUNbBgzwZsAAL2rWlCMopUmtVnP79m1SUlLKuiuSVKrMzc2xt7d/7B8IMpgqR165YOp5JJ2F4IlwM1Q8t/CC9gtEbSxlnqiZdeFPiN4E+dkF9+kZgf/H4P9h8VcWSuXC/fu57NwZw8aNUWzdepXU1ILcOienqgwa5E3//t6MGbODS5fuaeVWRUQkMWvWMS5dSubMmSStVYW1alnSv783M2a00ARk0vNTKpVam+5KUkWmr69faGrvUTKYKkdkMFVCarWoyr5/CmTcFseqtxb1srLvFlxnWVNMIcaFiJEwADM3aPc91Ojz/JtISy9dbq6S4OBrrFx5kY0bo0hLy9WcMzbWw9BQl61b+9OiRXUAfvghjPfe20dAgCt//92DTZuiWbfuMrt3x5Kfr8bZuSrXr7+laWP+/DBNwdData1kkCVJ0hPJYKocKLPtZCqLnDQ4MhNO/1CwnY2JvQigag0F24YFW+NcXgMhkwtWFrp2hg4Lii7VIJV72dn57NgRw6pVl9i8OUqr5EKzZg4MH14Hc3NDNmy4Qs+engwfXgcQKwpdXH7FxaUqr73mw8cfNwXENJW1dRDJyWJE08REn0aN7PDzs8Pf354mTRzw9DR/6e9TkqTySwZT5YgcmXpOdyMhajPYNQKXDmKvwMfJy4Bjs+HkXLHtjUJHbH1jVafgYV0HLHwen4cllVsZGbls2XKV5cvPs3NnrGZVn4GBLj17ejB4cE0CAlwxNzdi584YunZdh5NTVa5ff1OTBzFnznE2bowiP19FZORd0tO1p6rat3dm795AzfO4uDScnKrKRGtJeoXJYKockcHUS3YvCkLeF+UXHkehK0o36OiJKuwKvQef64lk9sYfgFd/OU1YTt2+ncHff19g2bJIwsMLNujW1VXQtKkDnTq5UqOGBebmhvTs6ak536DB/zh7Non16/vQu7cnFy8ms337VdauvUxaWi4DB3ozc2YrAO7dy8bGJgg3t2r06OFBjx4etG3rpCndIEnSq0EGU+WIDKbKSHo83D0vHnfOF3yek/r0ex1bQNt54NjsxfdTemZnzyaxfPl5tm69ysWL2nWsLCyMCAhwoU0bJ1q1cuLkydscOxbPjBktcXQUK0wXLz7HmDE7adfOmX37CkalfvrpNO+9t09rD0ETE3169/Zk/PgGtG7tJEesJOkVIIOpckQGU+WIWg0Z8SKgUuWLhzq/4PNru+DkPMjPEtd7D4LWX4G5R+G2VEpRT0uhI8sylAPXrqWya9c1du6MYc+e61qrAgGqVjWgeXNHWrWqTsuW1Wne3IHDh2/x++/n8POzY/JkfwDy8pTY2S0iPT2XOXPaEhFxh23bYrh1K13T1qJFAYwf7/sy354kSWVABlPliAymKpj7N+Hw56IAKWrQ0Rfb3VjXhXuXRU2se5dEdXflg9Vm3q89CLo8n9i09HLk56s4fjye4ODrHDx4kyNHbnH/fq7WNWZmBgwZUouxY+vTqJGd5nhMTArduq3n7t0sbt/+D7q6OqjVambOPMyOHbFcupTMpUtjsLExBuDo0Vvo6irw83t8nRpJkiouGUyVIzKYqqASz8CBqaJKe1F0DR8EVI8EXc0+BSOLl9ZN6emUShXnzt3h0KGbHDx4k9DQG9y8WTDS1KiRHWPH1uONN2pRrZpYnJCYmIGtrYnmmqZN/+T48dt89VVrzQpBgLZtV3LgwA28vS14/fWaDB5cUxYMlaRKQgZT5YgMpiq42J1wYq743MJblFuw9BGfV3UReVj7p4opQhCBVLPPwfdt0JWb8ZZHKpWakJA4fvvtLOvXX9Fsplylih4DBnjTtq0Tfn721Kljhb6+Lmq1mp9/PsOSJRHs2jUQc3OxGWp4eAIffRTK/v1xWlXcGzSw4fXXa/L66zVxc6tWJu9RkqTnJ4OpckQGU6+I2J2i0OidCPHc3BNsG4MqF5Q5Dx4PPjc0B9dO4N5NlGyQ00Nl5s6dTP788wK//XaWyMi7WucMDXVp0MAGPz97/Pzs6NjRFReXgv/DAwduYt26K0yb1oxatSxZufIiO3bEkp8vEte7dnVj+/aBgBgdO3o0noYNbTE21n95b1CSpGcmg6lyRAZTrxCVUuRaHf6soHr701R1BreuIrBy6QiG8nukLKjVao4cucXGjVGEhSUQFpZQKIkdoG1bJ4YOrc2AAV588slB/ve/85w4MYS6dW0ACAu7zaJF4URFpTBmTD2GDRPFRC9cuEvt2kvQ1VVQp441/v72NG3qQNOmDtSpI6uxS1J5JIOpckQGU6+g3HS4tEoUEtU1FNN9uoYFn6dehZjtYisc5SO/sHX0wKMX1BsLbl1EHSypTKhUaqKjUwgLS+DkydscPRrP4cM3efjTz8BAl169POjXz4uBA701NaimTQtl9uxjDBjgxdq1fQARqG3fHsOYMTu5fTuj0GuZmOgzf357xo6t/9LenyRJTyeDqXJEBlNSkfIy4cZ+EVjFbBcrBB8yrQ51R0Hd0VDN/fH3q9WgypO5WS9JXFwaf/11geXLIzl/vmBK0NzckO7dPejVy5MbN9L49ddz/N//tWTQoJqAKNvg7v4btWtbsX37AMLCEjh+/DaHDt3k1KkE0tPz2LKln6bI6P79cUybdpDu3d3p0cOD+vVt5EpBSSoDMpgqR2QwJRXbnQiIWAznl2lv6uwSIAqJZiWK6cOHj8zbkJ8Nzu2gzkjwGgAGpmXV+1eGWq1+UDA0kr/+ukB8fMFok56eDm3aONGzpwe9e9fA09Oc7duv0r37eurVs+bs2ZGaa/v128i+fXF8+mkzxo9vgKmpAWq1msmTQ/j++zDNddWrm9K9uwedO7vSokV1TdFRSZJeLBlMlSMymJJKLD8HojfBud+fXJrh3/RNRM2rOiPBqbUoKCq9UEqliiNHbrFlSzSbN0cXqsReo4Y57do506iRLT4+lnTo4Ko55+39B1eu3CMkJJC2bZ0BOHEinm7d1lG/vg2mpgYEB1/T2uQZICpqrGZT5tu3M6hWzYAqVWRSuySVNhlMlSMymJLIToGw70TF9G7/KzgeswNuHhQbOLt0ePy9qbEQuQzSb4KJA5jYg7G9+GhiD2olXFwJ55dqTxNWc4faI8RUoZnLC3xz0qOiou6xZUs0W7ZEc+DADc2mzA95e1vQrp0z7duLrW6SkjLx8rLQrPD74otDzJx5hNde82b16t5kZ+ezf38cQUGniY5O5c4dUUz04bRfYOAW1q+/gqenOT4+FtSsaYmPz8OHBdbWxi/9ayBJlYUMpsoRGUxVUiolJJ0R29O4doGcZFEdPXK5qDllYAbGtiLg6fQrLDAF1GDrBxk3oJonZCdD8gWRdN7iCzCvAYbVIHyRWN1Xkm1q1Gq4dVgEVZdWQe79BycU4N5VJLV79AJdOYLxsqSm5nDw4A327YsjJCSO06cTUakKfnwqFODnZ0+XLm506eJGs2aOqNVqQkNvUrWqPv7+DkDBxstKpZobN96ievWqAOTk5NOq1d+cPJnw2Nc3Ntbj/v130dERgVdKSjbVqhnK/CtJKiYZTJUjMpiq4NRqODJDBE4uAdBwwoPE73yYbwiowbImJF98/P3V3GHsVTjwsQiszi8VbT2OvgkMCoEV/qBnBG/dBqNnKPqYlwlX1kPEH2LF4EPGtmK0qs4IUXhUR6/kbUvPLCUlm9DQm+zbd509e65x7twdrfNmZgZ07OhKz54e9OjhgZ2dqMAeEZHE8OHbycjI49KlMZrrx4zZwe7d1/jooyZ4e1tw6VIy587d4fTpRG7evI+9vSlhYcM01zduvJzExEzat3emXTtnmjZ1oGZNS1mWQZKKIIOpciAoKIigoCCUSiWXL1+WwVRFduwrOPhfsG8iAqL7cTDsFCxrAAo9EfjcOiKm00yqg74x2PiCXUNREd29W0FbadcgMwlSosW0XMoVuBclPrdrBC1mQOjHYGQlAjTDaqLAZ+YdkQfl0RP0qxS/7/euiKT2iCWQ+cgIhkJHvBfT6g8eTg8+OkAVGxF4PXzoGZXal1IqcOtWOrt2xbJjRwy7d18jOTlbc06hgGbNHOnTx5PevWtQs6YlOTlKjIwKAuBatRZz8WIy//zTn+7dxWbc+/fH0a7dKry9LTh/fhR6eiJQ2rz5Cq+9tlVT7f0hY2M9Gja0o3dvTz78sMlLeNeSVHHIYKockSNTFZBaJWpF6RrAhRVweiEkhWtfM/oKWNQQn6fHi6rmJQlyHkeVXzBalBYHvz0m16nx++D/oQiESkKZBzHbRFJ77A7xWsVlUFXka1nXBZsGYF0fbOqLaUiZ5F4qlEoVYWEJbN8ew5Yt0YSFaU/deXlZ0KePJ/37e9O0qQM6OgoyMnI5ejSeJk0cqFpVlMfYvTuWsWN3UrOmFTt3DtTc36jRMk6fTuSzz5qjUqkJDb1BWNhtMjLE98GQIbX4888eAGRn5+Ph8RsODqY4OppoPrq6mhEQ4Iqzs/w5Jr0aZDBVjshgqoLJuA3bhhWUH8h+OBWjAIdm4NED3LuDre+L3wYm5Spc3wNRWyB2u0g2B1DoQssvRSBz/wb4/gesahe/XZUSMhNFUvv9G+Ljw0dmgjj38KHKK7odfVOwrgf2/qJ0g2MLMHN+vvcsAXDjxv0HKwSj2Ls3TmtEydHRlH79ajBggDetWztpRp+KolareeONfx5s9DxYsyXOkiXnGD16J7VrWxEU1JF27UTwvmnTFfr23VRke2++WZ9ffulcCu9Skso3GUyVIzKYqkDUKpFE/qefCFyUOWIz44bviDwjY5uy61tOKlxaLXKubh2GPhth7yS4fx06/SamAC19RD5XaQV5arV43cxEMT155xzcOQtJZ8UGz8rcwveYOj0IrJqLj7YNZdL7c7p/P5edO2PYsCGKLVuiuX+/4OtubV2Fvn1r0LmzG23aOGnyrIrjhx/C+PzzQ4wbV5+5c9sBIvDS1Z2HWg3Ll3cjK0tJfHw627bFcOpUAnl5Kr7/vj3vvdcYgISEDD777BA9enjQoYOLZoRMkioDGUyVIzKYqgCu7YXTC8Q0Vqv/gysbwMJH5DF5dC9/idrJl8DMDeL2wuW1IsfpxDeivIJFTTEl2fgD8B7w4vqgyod7lyExHOKPiQAv8XTB6NlDelVErln1luDYUgRZRhYvrl+VXE5OPnv2XGPduits2hSllWcFULOmJe3aOdO2rTNt2zrh4PDkAp8qlZqsrDxMTEQQlJ2dT82ai0lPzyM2dhympuL4p58eZNaso7z7biOmT2+BublRoQKjeno6tGpVna5d3eja1V1WbpcqPBlMlSMymCrH7t+ElS3FqAuIZOs3b1S8kZSdY+H8EjGy9pBTG+iyBMw9xAgT6hef35SXAbdPisDq1iGRlJ+dXPg6qzpiJK16G9HPqtVfbL8qqfx8Ffv3x7F5czT798dx9mwS//7pXLu2Fb17e9KnTw2aNHHQlEkoqZSUbM6eTcLFxQw3N7HCNDw8kYYNl2FsrIeDgwnR0ala99jbm7BhQx+aNXN8pteUpLImg6lyRAZT5YxaDflZoojm8W8gL10ct64HPVeDVc2y7d+zSrsO536DM79AVlLBcY9e0PQT2Po6+L4NTT56eX16OG1689CD4OqQWF34b9U8RFDl1EZsjVPUXoTSEyUnZxEaepP9+0Vdq/DwRK3gys7OmF69RGDVsaPLc1dN/+efaN58czfNmjmwbl0foqLusXNnLPPmneTGjfvk5alISnpbUzh0+/arZGTk0a2bu2YkTJLKMxlMlSMymCon1GqI3gL7p0DefZFcDiKIavIx1HqjbPtXWpR5EL0Zzv4C1/ZAg7cAHTjzk6gxVaMPuHUR029x+8DODwxf4vdlZqIIrm6Gwo0DD6YGVdrXWNUBz14iEHRoCjq6L69/lci9e9ns2BHDpk1RbN8eQ1paQa6VsbEebds6ExDgSkCAK3XrWj/TqJVKpSYlJRtLS7GS9f79XKysFpKXp2L16l689poPIEa2undfz5Ejt6hSRY+uXd0ZMMCLnj09qVbNsHTesCSVMhlMlSMymConlLmwtI7Ig1LoiMTy1l+Bz6DKu7w//ZZYuVfFGqI2ioT6naNEcVCrunD7GOjow7DTYjWgQiGmPg3NRDmEJ1EpRdB2J0J8Dc1cRbJ6TirkPvioyhevbeFddMCWkyamBW8cgBv7Rf7Vo3lXVWzECkrPXuDWVdTwkkosN1dJSEgcmzZFsXlzNDdu3Nc6b2trTMeOLgQEuNKli5umynpJpafnsnx5JGFhCfz+exfN8Xff3csvv5zB1NSAu3ezNMcNDHQJCHDhjTdqMWRICVakStJLIIOpckQGU2UoL0vUirp9XCQ+x2yHuP0iX8clAPResb+Io7eIFYBpsYXPGZpDl8ViqjBmOzT/HFCAnrH4eOdMQWCWlQTNp8PfzSEnBRpPgbC5Rb9u73UiYV7PWGyfc2yWWOlXo5/4t3g0wT/7nnj96AflIHIeycPRNxUjazXfEIVMK1puWzmhVqs5ezaJ4GBRiX3//rhCmym3alWdQYN8GDDAG0fHJyexF0eTJn9y4sRt1q/vjatrNdatu8zq1ZeJiroHQK9enmze3E9z/a1b6aXyupL0PGQwVY7IYKqMXF4LwRPFL//kCzD4sJgyetWp1aKswe2TkHAS4o+K0SVlDrxxVARbt49Dw0lihWNR+m+DqE0i6dyxFQSPF8d1DUVbhuZitCrrLvRcBeu7QW4aNPsMjn5Z0I5BNajRF7z6gWtn7cKnyjwxHRi9BaI2FCwUAFEh3nugmJ6t3qryji6+BLm5So4evcWePdfYvfsaR4/Ga84pFNC6tZMmsLK3L37phUcplSoOH75F48Z2mk2df/45nP/8Zw+enubMn9+enj09AYiOTqFGjd+pV8+anj096dHDg2bNHOS2N9JLJ4OpckQGU2VArYK1XUTBSxDTWp3/gJqBZduv8kqZC3fOi6k+PUMxOhR/HKI3QX4m3IuGe5fEdjMePUS9Lc/eBYnieVmgyhVTgynRIieqmptIJgfx7/FHDbGyb9B+sYXO1W1wcSUoC6Z80DOGIcfBuk7hPqrVIvC78BdcXi1yrx4yNBe5b9Z1H3x88LmR+Yv5elVyN27cZ+3ay6xefYkjR25pjj+6xU2fPjXw8bF8rtIHP/wQxsyZR5g2rRkffOAHiBysyZP38cMPp7SS562sqtC1qxudOrnSvbsHNjZyuld68WQwVY7IYOolUavFiEhOKmwbAteDxXGnttB1iVwhVh4FvyMS5Z3bi30I8zNhXBxcXAG1hoigzsS+cBFSVT5c3wcX/xIbOuemPb590+ri372qi9g3sapzwecW3nLPwWKIi0vTBFaPjlhBwRY3ffrUoHlzx2caOcrOzkepVGlW9+3de52OHVfj4GDCt9+24Z9/YtixI4aUlBzNPVu39qNHDzGKdetWOiqVGienZ8vxkqQnkcFUOSKDqZcg4zbsfgty74tfyhnxYpSj3Tyo/9aL3/ZFena598X2OHpVxNY21/fAztGicnrmHbHxcpNPoEbvx0/lKXPh7gW4GwFJ5x5UaY8QleGfxNAc6o6CBv8BC68X8tYqm4db3GzaFMXevdfJyytYhWlhYUTnzq507epOly5uTy0WWpS1ay/x5ZdH8fW14X//6w6Ielr16y8lIyMPc3NDDhwYrFkBOG1aKLNnH8Pb24Lu3T3o0cOD1q2rY2hYzgrtShVShQqmbt++jb19CTdtrUBkMPUSJITBigf5UGqlWFrfaw1Y1Srbfkkld3El7J8qcqjO/Qb5Dyp8W9aExpPFiFVxNpTOSRVB1v3rogbX/biCz9NixKjXQ66dwXeCmMKUZRiKJS0th507Y9m0KYp//rmqNXIE0KCBDV27utOtmzstW1Z/6v6B/5afr9Lck5SUia3tTwAkJPwHW1uRt3XkyC2mTQslJCROa0rQxESfgABXevTwYPjw2jKwkp5ZhQqm6tevz9mzZ0uzyXJFBlMvyL/3oDv7G9g3FYUh6wwXeVJSxZSfAzzYF/DUD+KRnynOGVlB/Teh0SQxBfgs1CqI2SFqb13dJl4LxBRg3VFgXgOMLAseVazESJYMtB4rP1/FsWPx7NghpuROnkzQOm9paUSPHh706VODLl3cNFvUFJdarSYqKoWwsARef72gqO7w4dtYvjySd99tRJs2TmzbFsM//0Rz+3am5nUTE9/WTD/GxKTg4mImE9mlYqtQwVS9evU4d+5caTZZrshg6gWI2w8hH0CL6RD2PfTZAIbVyrpX0ouyfQRELhOlER5WrB96Eq7vBbvGUL31s5dJSLkKZ36GiD8ev/WNhgLsGkHt4VBzcNluel3OJSZmsHv3NbZvj2HHjlitulKGhroEBLjSp08N+vTx1IwyPYvZs4+yYsUFgoI60q6dCwBnziTSpctaPDyq0bWrO59/3gIQAZmLy69kZubRtas73bu70727BxYWMm9OKlqFCqbkyJRUImoV/OkPiacABaCGRu9B++/LuGPSC6PKh9hdYu/E+3EQFwJ+k+E3V5FH5RMoio/a+YkpvPSbUGckuHcT9yedE3lY+sYQuL+g3TM/Q2qsmDo0ryFWCcbsgKw7IrDKvis+5moXuERHD9y7Q50R4N7j1atXVgL5+SoOH77Jxo1RbNoUxdWrBXXDdHQUtG3rxGuv+dCvn9czl11Qq9WaVYXffHOMjz8OpXt3d/75p2Cj77//vsD48bu1qsAbGury+us1mTDBF39/h2d8h1JlJoOpckQGU6VMpYRd48TGviBqDXVZ/PSK3VLlci8Kjs4UFdSv7xH1rh5l6gguHcGhmSjQusRHTP06dxRlHHQNRAmH7LsiMHJsLlb4ObYQGzRb1gSbeqItZZ5Y5BC1ESL/J3L0HjKyFBXgPXqKUhByerlIarWa8+fvsGlTNBs3XtGaDlQooE0bEVg9Tz2rrKw8QkLiMDHRp00bZ0BUZbex+Ym8PCUrVnQnPDyJLVuiOX/+rua+zz5rxsyZrZ7vDUqVjgymyhEZTD0ntRou/ClWfHn2gn+GwNUt4lzzL8RDrtZ7dT0ctbp9QhQhvXlQVGV/yLO32MA6didUdRILFdT5j2/LtZOYxts+TJRrqDUE7P1F3aqD/wXLWlB7qEhsj1wmvi/TC+owoWsgphzduoitb6zryu/NJ4iNTWXt2susWXOJ48dva44rFNC2rTOBgSKwet6aUhcv3uX117eSnp7HlStjUCgUqNVqvvvuJDt3xhISEkdo6GCaNhWjU9evp6FWq3F1lakDr7oKFUw1bNiQ06dPl2aT5YoMpp7TuT9g11jxF7+pkygeqWcEXZZAzdfLundSeaNWiwAn4STcjRTTdz6vFZyPWAIoxOhU7v0HjzTx0bKWqEt1Yg7YNoAzvwBqUck9IwGU2dB3swjqQYySXg8W1dljdhTepsfUERxbijIPdo3ER2Pbl/SFqFiuXXsYWF3m2LGCela6ugo6dHBh0CAf+vf30myo/CxSU3M0JRVyc5V4e//BtWtp/PprJ8aOra+ZKhw/fje//36WwMCaTJ3qj6+v/Dd7VVWoYKoicHNzw8zMDB0dHSwsLNi3b1+x75XB1HPKf7A5r4kDXFwFKKHPJnBoUtY9kyqz5Euwf4qYQnxYngHApZNY+FC9hfb1ajXcuwKxO8QoWNw+yM+iEFPHB8GVHzi1AYfmxSv18Aq5di2V1asvsWrVJcLCCqYC9fR06NjRhf79vejTpwZ2ds8+pZqWlsN//xvK1q1XuXBhFFWqiAUMqanZDB++nc2bozXXdu7sxtSp/nTs6PJcFd+likcGU6XMzc2NiIgITE1LXohOBlOl4GEZhKRzD/Z8cy7rHkmvirxMuLYHLq8RW9nwoFBl12VweRXUHiHy9v79SzY/G24dFvlVCacg8TTcu4ymDMNDugZg30RU6ndqK4I0mXelERV1TxNYnT2bpDmuUECrVk4MGOBFv35euLg828/WnJx8rTpUXbqsJT09l0mTGrFxYxSrV19CpRL/Zg0b2jJ9egt6967xfG9KqjBkMFXKZDD1kiWEiY14FToiwdd7wNPvkaQXLeUqHP8Krv4DTT6Gfe+K7883jkBVV7Gq7/ZJMfpk4lA4wMpNh6QzIrC6dQRu7BcrDx+l0BF7JNYeKQqXmnu8tLdX3l26lMz69VdYv/5yoVpWjRvb0bu3J716eeLra/tMI0hxcWl4ey8mP1/FxYuj8fQ0JyYmhe+/D+OPP86RmZnPzJkt+eyz5oAIxLKzlZqpQ6nyeaWCqQMHDjBnzhzCwsKIj49nw4YN9O3bV+uaoKAg5syZw+3bt2nQoAE//vgjTZoUf5rI3d0dS0tLdHR0eO+99xgyZEix75XBVAllJsH/6kHmgx+WOvow7PTjN7+VpLKQ92D67sQ3Yr+/0z+KbYzs/OD2MZEUP/goOD6oyn91m5j6c24nAiS1WmzUfHSWyAH0GSQCq7gQUfrhUVZ1RBK9Z28xtf24LXVeQdeupbJxYxTr1l3h4MEbWhXQnZ2r0rOnB71716B9e+cSVUCPj08nNPQGgwYVFAddufIibm5m7N17nUGDfKhRwwKANWsuMXToNrp2daNPnxp4eFTDzs4Ee3sTzM0N5ZRgJfBKBVPbt2/n0KFDNG7cmP79+xcKplatWsXw4cP5+eefadq0KfPnz2fNmjVcunQJW1uRWOjr60t+fuEVPrt27cLR0ZGbN29SvXp14uPjCQgI4O+//6Z+/frF6p8MpkpIpYLV7eBmqHje5BNoNUuuipLKpzsRsLq9qE31bxbeUG+sqFV1/GuoNw4u/l2QS6VWio9ObcVKw+ptRWJ86MdidCohrOAaEBXfvQaKulrVW8jA6oGEhAy2br3Kli3R7NoVS1ZWwc9yU1N9evXyJDCwJl27upV4a5n4+HQ8PX8nN1dJWNgwGjQoSEZ/9929LFhw6rH3GRjoEh4+nFq1rABYt+4ye/dex8LCCEtLIywsDHFwMMXf3x4rK5kzV15VyGAqPj4eS0tLDA2ffchUoVAUCqaaNm2Kv78/CxcuBEClUuHs7Mw777zDxx9/XOLXmDp1KnXq1GHkyJGPPZ+Tk0NOTsE+VWlpaTg7O8tgqjhUStg7URRTBGjzLfhPLds+SdLTPEw+v3VI5EndOAj3LopzdUeL4Cdun0g83xpYdDt1RkLXJaKulUIHtg8Fg2qi0nvKFe1rTauD1wBRjd2hqfxj44GsrDz27r3O5s3RbN16lVu30jXnqlUzpF+/GgQG1qRjRxf09Z++PVBsbCrvvruXO3eyOHhwsGa0afXqi1hbV8HCwpANG6IIDb3J7dsZ3L6dodmnMDHxbU1Zh0mTgvnxx8evWvfxsWTjxj7UrGn1vG9fKmUVMpgKCAggOjqaAQMGMHfu3Gdq49/BVG5uLsbGxqxdu1YrwBoxYgQpKSls2rTpqW1mZGSgUqmoWrUq6enptG3blp9//hl/f//HXj99+nRmzJhR6LgMpp5ArYbzS8Xy8surAQV0+gXqjyvrnknSs8lKFuUZqtiAXUNxTK2C1BjQMxafZyWJ6b7MBPHRshZ4dBfX3joKfzfXbtPOT0x73zmrXaS0qgs4txXndQ1FoOXQ5JUvw6BSqTlx4jarVl1k1apLWoGVlVUV+vf3ol+/GnTo4PLUEavMzDyMjcWKP7VajaPjz9y+ncGuXQPp1MkNgAMH4jh+/DYNGtjg42OJk1NVFAqYMiWEW7cycHWtSnp6Hvfu5XDtWioxMWncupWOjo6C1NR3NHsWzphxmIiIOwwY4E337u6YmcmcrLJSIYOphy5evEjNmjWffuFj/DuYunXrFtWrV+fw4cM0b17wg+nDDz9k//79HDt27KltXr16lX79+gGgVCoZN24c7777bpHXy5GpZ3BhBWwbKj5X6EGPFSKPRJJeVWnX4NxiiNkmgrJ/cwkQZRsUOiIw+zdjO1F6wbWTyLfSNwGDki+gqSxUKjUHD95g1apLrFlziaSkgrIVZmYG9OjhQb9+XnTr5v7UjZjT0nKYNGkvBw/e5Pz5kZpAbOrUEObOPcmUKX7MmdMOEPWsDA3FVlf37k3E3FzsBThjxmGmTz9M165ufPRRE83eggDNm6/g6FFRa8vAQJfOnV3p39+L3r1ryCnBl+xFBlMlm3Auhvz8fPT0Cpp91kDqRfHw8ODMmTPFvt7Q0PC5pipfScpc8cPesja0nAnuXcu6R5JUtsxcoeUM8chIgJjtIocq5YqYUvSbDO2+g8w7ELsdTs7Rvj8zQZRzuLwGdr8l9hOs0RfaznslS4vo6Cho08aZNm2c+eGHDoSExLFu3WU2bozi9u0M/v77In//fRFDQ106d3Zj8OCa9OlTQzMa9SgzM0OWLu2mtScggJ+fPUOH1qZRIzvNMbVazYcf+pOVla/VlotLVeztTRgypLYmkMrJyeeff67y/fft2bw5mnXrLnP58j22br3K1q1X0dXdRa9enqxf30cmt1cCpT4y1ahRI06denwSX0m9iGm+5yUT0J9AmSdyPXT0xIazptVBt/APL0mSniDhtAiaMhPEIy0OMm5B9j3tBPaH7PxEvpVLB5HH9Qr/n1Op1Bw7Fs+GDVfYsOEKUVEpmnMmJvr07+/F0KG16dDBBT290k34z8sT/zYPc7dWrbrI669vpXFjO06eHKbZy3D9+iusW3eFs2eTGDasNsuWdde0ce5cEnXrWsvg6gWpUCNTL3LW0MDAgMaNGxMcHKwJplQqFcHBwUycOPGFva5UDKp82DZE7LnXbRlUcyvrHklSxWTXsCAv61EqpUh8r+oCh78QU4fxR8S04cOpQx0DsTKweivxcGgOhq/OH306OgqaN3ekeXNHvvmmDefP32H16kusWHGBq1dTWb48kuXLI7GzM2bw4FoMH16bhg3tnt5wMfw7AT4rKx97exO6d3cHxOBAnTrWHDt2m507B3L/fi46OgVB05kzifj6LqNuXWtGjapLQIArtWpZFiuxXip7pTIytWzZMkAEUl988QUzZ87UnBs+fHiJ2kpPTycqKgoQ+/x99913tG/fHktLS1xcXFi1ahUjRozgl19+oUmTJsyfP5/Vq1dz8eJF7OxK5z/F4wQFBREUFIRSqeTy5ctyZOpRKiVsGQhRG0WO1BuHxYaykiS9OGo1LK0ltsp5EhNH8PtAVHc3tn45fStn1Go1R4/G8+efkaxadYm7dwtyrHx9bRkzpi5DhtTGwsKoVF83L09JTo5Sk7d1+nQCjRotx8REn8TEt7WmCpcvP8+bb+4mO7ugFISBgS516ljRsKEt77/fmLp1bUq1f6+acp+A/r///U/z+eeff86XX36pGaEaMWJEidoKCQmhffv2hY6PGDGCpUuXArBw4UJN0U5fX18WLFhA06ZNn/0NlICc5vsXlVLstRe5XDy3rAkjI+XSbkl6GVRKsX/gqQWiCnve/YJzOvqgyit4rtABG18w9wJzT6g9FKxqvfQul7W8PCU7d8ayfHkkGzdGkZsrpucMDXUZMMCbMWPq0a6ds9aoUWk5dOgmU6fux9m5KqtW9dIcnzXrKB4e1WjTxoktW6JZteoSp04lkJaWq7nm2LEhNGniAMCOHTHs2BFDmzZOtG7tpCnZID1ZuQ+mHlWaOVPlkQymHqFWwc6xcH4JoAN2jaDLH2BTvAKokiSVIrUaUq+Kyus39oOpk9j78mao2OYm8V91kXQMoM4IaDv3lZoKfNTdu1msWHGB338/y7lzBYVa3d2rMXRoLYYMqY2Pj2Wpv25urhIDAzF9d+9eNnZ2P5GXpyIycpSmMGhenpIbN+4THp5EeHgiH33URDOS9eabu/jtt7Oa9mrWtKRNGyf69q1BQICrnBosQoUKpho2bMjp048vZlYZyGDqAZUSdr8JEYvFX7zd/4KaTyhgKElS2clOgV3jxPY492+gvUGzQmzOXH8cePQEkxeXLlFeqdVqTp68zR9/RPD33xe0RoT8/e0ZMqQWr79eEzu70t+0+s6dTObPP8W5c0ls2tRPc3zs2J3s3XudWbNaMXiw9gji9u2iQnxo6E0iIrSr9VtbVyEycpQcrXqMchNM9e7dm+XLl1OtWrUir8nLy0Nfv/KtJpE5U/9yJwL+9BNlELr/CbXeKOseSZJUHGoVxO4SW+LcDP1XXSsFODQT5Uyc24F9U7Hh8yskMzOPjRujWLEikp07Y1Eqxa9IXV0FAQGuDB9eh/79vTAyKvX1W1rq11/KuXN32LixL3361AAgMvIO48fv4bXXvJk4sSEKhYK7d7M4dOgmu3bFsnr1JRwcTDlzpiC95q+/LuDnZ4e3d+mPsFU05SaY0tHR4ezZs9StW1dzLCoqiho1ahS69t81OyoLOTL1iPU9Rb5Gy/+DpiXfykeSpDKWnQr7J8P5/4G68H6m6BmBYwtwbg9O7UQldt0nF8GsTBITM1i1SqwGPHYsXnPc3NyQIUNqMWZMvVJbDfhvqak5nDhxGz8/O01x0N9/P8u4cbto08aJ/ftf11ybkpKNubkR+fkqbty4j5ubGPBIT8/F1vYnVCo1v/zSiREj6j72tV4VL/L3d4kLbURHR2s+V6vV1KxZk4iICK1rRo4ciZ6eHk2aNOHy5cvP30upfMjPgZSCf38cm4m6Nzov9i80SZJeEKNq0OV3GBkBXZbA6MtgWA1QiK1s8rPFXoKHPoNVrSHIEjb2hbO/Q/qtsu79C2dra8I77zTi6NEhXL48hs8/b46LS1VSUnIICgqnUaPlNGy4jIULT3HvXnapvna1aoYEBLhqAimA7t09+OGHDrz7biPNsdxcJe7uv9GkyZ8kJGRoAimA5ORsmjZ1ICdHyciRO3jnnWBNPSypdJV4ZGrYsGGa1Xs3btzAxcWFPXv20KFDB0DsWWdpacm6des4evQoBw8e5ODBgy+m92XglR2ZSr8FK1tDTioMPgyW3pCbDncjxV+rkiRVfKkxsG2Y2OT5oWqeYOogSjBkJWlfb9tI5Fl59gS7xiJ/spJTKlXs3XudP/44x4YNBasBDQx06dHDgzfeqEmPHh5UqfJy0l2OHr1Fy5Z/Y2trzI0bb6GrK/4NwsMTcXQ0wdramC+/PML06YcBaN3aiTVrer2Q/K/yrlxN87m4uPDf//6XsWPHMnv2bP7v//6Pjz76SLMZcGRkJH5+fmRmZpKZmcmff/7Jm2++WaqdLkuvZDCVmw5/eEHmbVGU87VgsRGrJEmV06kFsH8qqAoSsTH3hsbvQ/YduLoV4o+jlchu6gg1+oP3AKjeGnQq/4qyu3ez+OuvC/zxxznOnCkINKtWNaB/fy/eeKPWC6m2/m8JCRlcuXKPVq2cNMcaN17OmTOJbNjQl169PNm8OYphw7aRlpZL9eqmrFvXh6ZNHV5ov8qbchNMDR8+nFGjRjF8+HDu3LlDbm4uCxcuZMaMGYSGhuLl5cW8efNYsmRJoam/yuKVC6Zy78P67nDzoPirs8WX0Oy/Zd0rSZJetLwMsX9g1GY49xvkpkFVZ1FOockn4mdDzHYRWMXuhLz0gnur2IBXP7HNjXP7V2KLm3Pnkvjrrwv89dcFrl8vqPdla2vMsGG1GT++ATVqWLyUvqSn59K+/SrCw5OIjx+PtbVY2XfpUjJ9+27k4sVkrQ2cXxXlJph6KC8vj/DwcMzNzfHy8mLOnDl8+umn1K9fnzNnzjBjxgw++eSTUu1oWXulVvOplHBqvljlE71ZBFKG1aD/TnB8OcVRJUkqR3LS4NgsOPEtGNuJ3KozP0M1dzESpcyFa3vgyjqI3iT2EXzIyAI8+4LPa+DSsdInsKtUao4cucVff11g9epL3LlTUG29a1c33n67Id27u2um416k+Ph0HBxMNc/ffXcvFhaGqFRqPv+8xQsfMStvyl0w9TiHDh1i586duLi4MGbMmEq5kg9ekZGpK+th8wDE+gSVCKQG7gF7v7LumSRJZUWthqgN4qNdY1jsLSqsW9aGtnPAvZvY+UCZJwqHXlknrs9MLGjD0Bxq9AXv18A1oNIHVnl5SrZvj2HRonB27IjVHHd1NeOttxowZkxdbG1fTu7Sw61sAI4eHaKZ4svLU/Lddyd5993GL7zcQ1mrEMHUq+KVCKbUahFMJYZD9l14bY/ca0+SpAI5aRD2PZz4BvIfjLxY14N6Y6HWEKgiqnijUoqR7ctrRHCVcbugDUNzEYC5dwe3LmBcufedi45O4eefw1m8OILkZLHyT19fh969PRk9uh6dO7u90JEitVrN8uWRREbe5euv22iOjx+/m19+OUOrVtXZtKkvlpZVXlgfypoMpsqRShtM3b0g9tV7dEQxJ1Ws7rH1LbNuSZJUju37AE59LxamqB8sudc1gD6bROHPR6mUYpXgpdWFAysU4g829+7g0b1SrwzMyspj1apL/PRTOCdOFHwNHB1NGTGiDqNH131puVX37+cyaVIw69Zd5v79PGrVsmT79gG4uhZdmLsik8FUOVIpg6m7F2G5Lzh3AJ9AqFuyzaklSXqFXQsWienXdsG5P0S5lNcPgMOD/Mq4/aBvIvbufBggqZQQfxRitsHVbZAUrt2mkRU4tQantuDUBmwaVMrVgWfOJLJkSQTLl0dqRqsA2rRx4s036zNwoDeGhi9m6k2tVtO69UoOHbrJG2/UZP/+G9y8mY69vQnbtvV/YcVIy5IMpsqRShlMRf4JO0eDvink3IP2P0CjSWXdK0mSKqJtQ8XoU/sfwPc/sKIp3D4OxrYF03quncHIvOCe9FsQs0MEV9d2iZWCjzIwg+qtRHDl3lVMKVaivNycnHy2bIlm8eIIdu6MRaUSv5ZtbKowZkw93nqrgVYxztKyceMV/vOfPWze3BcHB1O6dVtHRMQdTE31Wb26F926eZT6a5YlGUyVA5V6NZ9aDeu7ieXNBmYwYKeobi5JklQSKiVs6gdXt8CgEBEA/fO6+NnyaICk0BXb1Hj1E7WrHqXMEyUZbuyHGwdEzlVumvY1Zq7g0Qs8e4kAqxLtH3jjxn0WLz7Hr7+e5eZNUW5CoYAePTx4+21funRxR0en9ALJjIxcTEzEQoDU1Bz69dvIvn1xWFtXISZmHKamlWeRgAymypFKOTJ1/BsI/VhsC/NasBhWlyRJehZqtQiGHl39e+4PUUFdlSdGnu5GiuM+r0PPvx/cp4JlvmDuKXKm3LqIj2o1JJ0RwdX1YPHIf2TrFn1Tca17NxFYmXtWilGr/HwVW7ZE89NP4ezZc01z3MOjGuPHN2DUqLqa+lGl5dq1VC5fvsf69VcICHBlwADvUm2/rMlgqhypNMGUSgkHpoJ1fTHFhxoCFkGD8WXdM0mSKhNlHvzuJqbyui2H2kMhNVbUpTJzFoEQwL0oWOylfW8Vm4JAybUzGFtDXqYIqKI3i4KhWonsgImD+IPw4cOqdoVPZr90KZmffz7DkiURpKbmAGBoqMugQT68/bYvTZs6PHc5oqioe7Rps5L793MJDR2Mr6+t5tymTVFcvZrCu+82LtVRsZdNBlPlSKUJpk7MgQMfAgpADfXfhE6/lHWvJEmqbPKyIDxIlEcIPFAwJRd/DJLOgksHMZqUlymS0u+cE0nr1/doTw36TYW234rPc+/D/Tgw9xLJ69FbIG6fyM1S5mq/vpGVCMg8eop8K6OXs1LuRcjIyGXlSrES8NSpBM3xhg1t+c9/fBkypBbGxs9WbT4nJ59u3daRlJTF9u0DcHKqCogtc2rWXMydO1l07OjC0qXdNOcqGhlMlSOVJphKviTypFJjwLElDNpb6QvoSZJUjqxsLfKhuv8FtQaLYwmnYVMfsPODnivh1mGRmB65DByaQbNpYurvykbY3A/0jEXpFrvGYjWya0dIOCVyrW4cEPfnZxa8pkJX5HF59BQPS58KOSWoVqs5ceI2P/0UzsqVF8nJEWUprK2rMGGCLxMmNMTGpuRTgA9HvapVK8hBU6vV/PrrWT74YB+ZmflYWBjx1VetGTu23kup4l6aZDBVjlSaYArEVF/UJqjeEkwq3zJYSZLKqfwc2D8F0mKgxUxRNgHECNPG3mDbEIadKrh+ZRu4GQo9V4ttac7+CnvfA2WWdrtVXaDhRKg3TqwWVOaJEbCrW8Xj7nnt6y28wGsgeA8Ur1kBA6u7d7NYujSChQtPExsrEvWrVNFj1Ki6fPCBH56e5s/c9rp1l6lWzZCAAFcuX05m6NBtmtpYjRrZsXBhR5o3dyyNt/FSyGCqHKlQwZRaXfDDQa2Gw9PFD6+234ncA0mSpPIkJ+1BcroaHJsXHI9YCilRUOsNkQP18NiBD0WpBUMzuPg3ZN0R50acA+u6hdtPjYGr/4jAKm6f9pRgNQ8RVHkPFCNjJQms8rNhQw9o860YJSsD+fkq1q27zJw5JwgLE1OAOjoK+vf3YsoUf832McV15kwizZr9RV6ekv37X6dly+rk56tYtCiczz47RGpqDjo6Cq5cGYOHh/kLeEelTwZT5UCFKo2QmQhrO4m/tLouLTj+s4NI1rSuK8ofmFacvygkSZK0rO8OMduh1Wxo+onIzbr4NySego4LC647OQ8sa4l8qUcT0XPvi8Dq8lpR3yr/kVGuqg8S4106ipwu44JkbO7fEG2mXQdLbxH83Y0Uz9X5YqSt2bQX//6LoFarCQmJY86cE2zfHqM53rSpA5MmNWLgQG8MDJ5eADU7O5+xY3eSkpLDpk19tab0EhMz+PjjUBQK+OOPrprXVasp1wnqMpgqRyrEyFTY9xDygfhLa2x0wfHgiXD2F1DlQ/Pp0OKLMuuiJEnSc1HmikDo4So/gHtXRPJ6vdEicEqPh99cRUkGC29oOAnqjAADU+228jJEJfbLa8Wo1aN5ViBWPbsGiAc6sP5fW+U8ymsA9F4rPlerIeFkmW2PExGRxNy5J/n774vk5oq8KgcHE/7zH1/eeqv+UzdZVqvV5OQoNRsgq9VqMjPzNHWpVCq1Jni6ejUFP78/qVnTEj8/O/z87PHzs8PHx7Lc5FbJYKocqRDBlFoF1/dCbjp49RXH0uLgryZiZMq9G/TdLOpKSZIkVQZqNazrAtd2g98UaDtHjNIf/1rUuXpY+NOwGtQdK3KrqrkVbicvE+JCIHaHyCm9f137vK6h+BlrWE0kvTu1flB+QVfkfDm3A8+eoj+xO8VCH/Ma0Og9qDtSbK3zkiUkZPDrr2f56adwbt/OAMDAQJfBg2syebIf9eoVb5PpWbOO8vffF1ixogcNGthqnRs1ajtLl54vdI+JiT6tWlVn3rx21KlTtuklMpgqRypEMPVvuemwspUofGddF14/JHIMJEmSKgu1Ck4tgGOzYPARsKhRcC73Ppz/H5z6QeRegRgpGnGuIAcreosIfgyrQUaCKOXwaOV1n0BRuiGtoIAmIEa8PHqAW1exH6Hhg21fTv0gkux19AqKjBpZQP3xIpArgzSL3Fwla9de5ocfwjh+vKA+V48eHnz8cRNatXIq8t60tBxq1VrCrVvpbNjQh759tWuCqVRqoqLucfJkAidP3ubkyQROnUogIyMPgG3b+pf59jQymCpHyn0w9WjSOTzY3qGvGLo2toMhx8RWDJIkSZVRXhboVyl4Hr4IUqLFPoHV3EWe1akfxAjW2JiC0akDH8GJb7XbquoCualQvTV0WQxVrCH5osi1itkmVhiq8h+5QQFWtcC+qaihlRgmktL1jOHU96IfADr6UHOwOFdGK6mPHr3Fd9+dZO3ayzyMAlq0cOSjj5rQs6fnY3Of4uPTWbbsPB9+2ERTJPTGjfs4Opo+9nqlUsX583c5evQWb77ZQHM8P1+Fnt7Ln/qTwVQ5Uq6DqdQY2NBLFOBs+I4Iqg59Dke/BD0jsVfWw53cJUmSKrvUGFhaW4wMDQ0rKMFw74qoceXeDUzsxbEzv8C+d0WgU3e02DfQqY0Y1Xo42vRvOWkiKLv6D9wIEa/3b/omYurPvQckXxB/2KbGgJElvBkH+g/qQf07CHxJrly5x9y5J1i69Lwmr6p2bSs+/NCfN96ohb5+0cnqOTn51K27FBsbY/76q0exNmO+fj2N9u1X8c03bRg40KfU3kdxyGCqHCnXwdTBT8UQt2snGLhLHEuNEXVbmn0GPoPKtn+SJEkvU14mRG2Em4egwwLQeRAYPPxZ2XYu+E0Wx7LvQZClmJabcK9wknpxZCSIKuzxR0V9q9vHtau4P2TbSJRgaPKR2GYn9Sr8M0TUvao1FLwHwJ0IMaJlVUv8MfyCxcen88MPp1i0KJy0NFEywsWlKpMn+zN2bL3HVlY/evQWAQFrMDMz4OLF0ZiZiWKfx47FY29vjIuLWaFtbiZO3ENQUDgAI0bUYcGCDpr7XjQZTJUj5TqYykmDCyvEHL5rx4LjyjzQfbYtBiRJkiqdY7Ph7G8ioGk7p+D4nfMiWVyvlH65q5QiKIr5B6K3iiCLR37lGtuK7W6SL2jfp2sgfm6jBjM3EfA1nAgRS8QIWlUnMXpm17jUpwlTU3P4+edwvv8+jIQEsarR2roKkyY1YsIEXywttUfPbt68T0xMqla+lbv7r8TGprF37yDat3fRuj43V8nMmUf46qtjqFRqevXyZPPmfqX6Hooig6lypFwHUw/duyK2i/HsWdY9kSRJkh7KTBQlGK5ugdhdkJeufV5HD3QMCpdmaPklNPtUBIEH/1XDyrS6KDJq7wde/QsS6p9TdnY+//vfeb799jhXr6YCYmXeW2/VZ/JkfxwdHz9yl52dT4sWfxERcYfExLcxNxejalFR9zAx0cfBQdx34EAcHTqsRqlUc/DgYFq2rF4q/X4SGUyVAxWmaGdeBvzVTPyF1eNvqBlY1j2SJEmS/i0/R9SgunlQTEPeOgzZd7Wv0dEDqzrg3F7Ur6rqJJLn710WKRzJF9Ea6QJoMwf8p5ReN/NVrF17ma+/PsaZM0mAKKswZkxdPvywSZF5Urm5Sk1x0JSUbJo2XUF6eh7btw+gfn1RiuGtt3bx669nadPGiZCQwEJTgqVNBlPlSLkcmUq+DAemiiW3F/+CC3+KlXvDToNpybYQkCRJksqAWi1mFG4dEqsEr++F+3Ha1+j9f3t3Hldlmf9//HXYEREFFFxAS81dUMF9waVQCzOzspkp0tH6lTnT0PLVmdLql+XYMrZQfW1qtKZyqdQWNcvJREVJHXJHTdxQUEA5ggIC5/vHXRgBCp4VfD8fj/OQc597+WDc8fa6rvu6GhgLNbcaZDxhGNQJkmbArvfAtykU5hoD7ZtFQFGeMSt7wUljJne3K896fvnyLKxenc7zz29hw4YMoxwPN/7wh05Mn96HDh0Cqz32yJE8Ro/+jHPnivnhhz8QEmLMtXX8+DnatfsnRUWlrF59O7Gx11lV45UoTLkQlwxT6x6Fba8Yc0hl7zImj7vzP8aTKCIiUvdYLMZUCkfXGsHq2H8urT34C3cvCOoGbm7QYiD0/DMEtDaeDHwz2Bi4XphrDHi/41tjnisbWL/+GM89t5lvvjHm3DKZ4M47O/C3v/WtdgJQs7mIEyfy6dgxqML2J5/cQFmZhccei6o0HsvWFKZciEuGqdw0YxHj/UvBUmrzZl4REXEyS5nxj+Xj641XRpKxosWvuXtBy8HQpAP8mAgeDY2gVWw2WrLGr7Hpk4EpKSeZPXszn39+admycePaM3Nmv0ozpP/WunVHefXV7SxYMIqAAD3Nd81xyTB1/jR80BPyjxsDEOM+qd2K5yIiUrf80nKVkQTHk+DYd2A+XHGfBiFGt+ChlVB6wWi9umud1V1+v7Vjx2lmz97M0qVp5ROAjh3bjpkz+9GjR+WnDYuKSmjX7l2OHz/HhAkd+fjjW37+loyD7TV2SmHKhbhkmNr+Knz3iDElwu9/0FIxIiLXGovFGJh+eLUxy/uxdVBaVHk/78bQ/xlo0R+aRth02pzdu7N57rnNLF68rzxUjRnTlpkz+9GrV2iFfTdtymDlynQSEnoRGOjLpk0ZTJ+exJQp3bjnni42q+nXFKZciEuFqexdsGsBRDxgNPs272OMmxIRkWvbxfNw/HtIX220Xp1KpdKTf78MaA8bCuHDjBni3TysvvSePUaoWrToUqi69dZ2PPNM/2q7//7+9y1Mn57EddcFsG/fpPInAW1JYcqFOC1MHVkLObuNBTUbtzW2/fCS8RRf+9thzCeOq0VEROqW4nxYPQmOfgtNuxlrBxadrbiPVyPjwaXwYdAqBpp2t6pLcN++HJ77/8l89PGlUDV+/A08/XR/unQJrrCv2VzIDTe8R1bWed58cwQPPhh51detjsKUC3FamFo63HiiY9T70PkeY6mCdQmQuRXu+h5a9HVcLSIiUvdYLD+vNdjIeOLv8/HQLNL4h/rxdcZ0Cr/m1chouWo5yAhZoVHGIPeaXiv1TUhNZG/PlTzzwk6WLDHGVJlMMGFCR2bN6o+3tzt//WsSFy6UMHx4ONOm/Yfmzf346afJ+PraduUOhSkX4rQwtXk2nPovdH/AmLht0UDjkddu98NN/+u4OkREpO77/gnY+qIxg/rkdDC5wenUn6dh+M6YTPS36wp6+BrDSVoONua6atHPWMj5twoyYVU8HPl5jdjBL4J/GDu/XsEzH4XwaYox27mbm4kxY9qyYsVBAHbtuo9Roz7l6NFzvPjiEB57LNqm37LClAtx+pgp8zH4uL/x5F7zPnDH2qp/mEVERKqz9yNY+XsjRA1+EXr9peJT4GUlRlfgr6di+O08V24exhxWv7RctRxojNNaFQ8Xz4GbJwx5GXpMhU9ijS5Gkxupx0OZteYmPt9tDDR3dzcxfvwN/OMfQ1m9Op1Jk74mMNCHtLRJBAc3sNm3rDDlQhwapo58CyeSjQUt/VvChRyjRSp3HwR2gglJ4Bt05fOIiIj8WpEZvp4MB5Ya79veCiP/Vf3EnhaL8bvnl2B1fH3lGdp/q1kPuGe78XXOHti9EK6Pg8OrYOe7pOzz4snVI/lm/w0A+Pp68PDDPfj884OkpZ1h9uyB/PWvthvCojDlApyyNt9nN0P6Soh6HPrNhE9GGGOlGraCuzdBozD7Xl9EROoviwV+fBvWPQKlxeDuY4zL7XBHzY43HzFC1bH1cOCTygPaARq1ubT8TctBENjBaAErKYR320P+cb471ou/bfkzyZuzAGjY0JOBA1uyZEkc/v5WTOhpscDOf8KeD6D7FMwtxxDQuLHClCtwaMvU3o9hx9tw0z+NGc73fQQ+gTBhg7Emk4iIiLWytsPiwXCxADDB0Feh57TLH1OUZ/SWlBbC15PAr6UxaWi7scZ43owkY5yvpazicb5NL60vmLMXdr4HlGLpMolJi8fzwQd7KC01YklISANmzerP5Mnd8PSs5VOFljL4bDQc/rp8k7llHAF3f2GX39/WTygh9tPpbuMF0Pcp4wdz5L8UpERExHZCesK9O+DjAXA+s+Jkn1nbjclAAzsaE0MXnjEmit7xNoT2gcFzIPMH8NwL8buhUatLxxaZ4WSyMUN7RpLRs3LhNBxcZrzAaA1zb4jJuxHtvFPxcrMwYGg7Dh3K49ChPB566FumT1/P3/8+mAceiKj57OgmNwjpZbSc3XCH0Rjx0xe2+zv77eXUMlU7Th2AXlZq82UAREREAKNb7KcvoO0tRhhZPQly98LJzT/vYDK2W0qNt0FdjCEnP62AsGHG2N7LKSmCrG1GsMpIgoyNlboGS/HALTSKshYDWL2zFZNn5ZN51lhPsFevEObOHcKwYeFVnz9nL2CBoM6XrpefAY2vh6z/Yl72ewIe3KtuPlfgkDB1IhnMR43B5e4+0Gqgfa4jIiJSlfOn4K1QwAIhUZB3yOi+AzB5GL0knX5nhKurVb54cxKkLTEC1m9naQd2ZYay/tB1JB26jqT06+jWL5K5c4fQrVtTY4ezh2DXu7D1JQjuBhM2wv6lRs39Zpafx5yTRUBwqLr5rhkpc+Cnz42p/kuL4LYv4bqRzq5KRESuFR4NYNRCOL0Thsw1tuVnwifDjRYgS5l1QQqM45t2N16NWkPGemN7cARlIVGUHv0ez3MH6RqaSdfQTB7qnwzAoZxANjx/Hdsbt2NklyOEFG2+dM4GzYyuvVX3gMkdOv3BaJnavRC22G9ORoUpV2OxQNNIY7HKkvPGD1mrwc6uSkREriVeDY3VNn6tYSiM/ghKLth+1Y22t8DQefD94xzYm8GE5++m2NSD7Z+F4Hl2N5u/TcHzzI9EtjjB9UG5XB+UC2yDIsgv8sKnoT8eN8RBj2nGAs4d7zZaqRo0gwu5xoohZ3NtW/OvKEy5GpPJeKKitNiYyj/uE/C03aRlIiIiV61ZhP3O3fPP4OZJ4OePcy43h/v7ruTQwr10aHaaqLi3GPLw79m57RCzbtnCnZ3Wk32+EZ2aZtLQuxgu5sDuBcbLqxG0HACYjIlHQ6Mgbins+xqYa5fSFaZczYHPYNvLxtcj/wVN2ju3HhEREUeJeJCg86f4onQRHRqlgbs3NO6MR4NAli4dzYjhi/h4Z18m/O0JIiMGsGzpThbPeYW2gacYdH06g64/QkPMkL7KeAF4+EDzvtC4j93K1gD0WrLrAPSfvoQvJ0BJAfR6FGJesu35RURE6oJj62D7a8b6f9GPG9ssZZS92Zwir1B8J6eWL39TnLmXNz86x7PPpZB39jwRLU7wYNw5Jgw8hX/ez9MxAOZCCHgSPc3nCqwKUxdyjYUlfZtCVAIU58OO+dB9Cnj5w3sdjPk8GrWBSfvB3bYrZouIiNQ127dncfr0eWK7noRFA8A7AOJ3gX8rVqw4yMWLpYwf34Hc3As880wyb76ZSklJGR4ebjz8cCRP/ymIgHNbMKd9S8CdS+0Spqwcii+1kp9hPKmXMsd4v/Md+P5RWDrCGHjevK/xyGnsuwpSIiJyzfvmm8NER/+b+PhVnPHqDH/YCg9kgH8rduw4zV13fcGdd37B/Pk/Ehjoy6uvDmPnznhuvvl6SkrKmDdvO9dHJZGYFE3J8Pl2q1NhypG8GxkD7LpONN77h0OTDsZCxiaT8RjqQ6chfJhz6xQREXEBgwe3okOHJsTEhFGClzGruacfAF26BBEf3wWLBR544BuefnojJSVldOwYxJdfjmPNmvF07RpMbm4hDz+8lkGDPrZbnermqyWbj5laPwNObYdbPyv/ARERERFDXl4RAQFVL3hssVh48skNPP/8FsAIWPPmDWPEiNYAlJSUMX/+jzz11EZyc88CT6mbr97Z+jL8MAeOrKmwGKOIiIgYqgtSACaTidmzB/Hee7EEBfmye3cON964lHvvXQmAh4cbDz3UgwMH/siUKd3sVqPClCOVFl9aQXvXv+D7x4yvB74A7cc5ry4REREXV1BQzOOPr+NPf1pLaWlZhc8mTuzG/v2TmDatB+7uJrp2Da7weWCgLy+9NNRutambr4YSExNJTEyktLSU/fv3X10z4Ya/GYPP295qLAxpKTOmQBjyYvkjniIiIlLZZ5/t5/bbP8fT040ffvgDERHNqtxvz55s2rZtjLe3MZXmunVHCQjwpm1bX7tNbaQwVUtWjZn69iH48S1jvSBLKXSZaDy5pyAlIiJyRYsW7aO4uJR77+1So/3Pn79IVNQHhIT4sWLFKLuFKc2A7kgDnoO0xcbK2+3Gwk3zFaRERERqaMKEjhXeZ2YWcOJEPj17hlS5f3b2BQ4cOMvevbls25Zpt7o0ZsqRfANh/DfQJR5u/hjclGVFRESuxoULF7n11mUMHPgxq1YdqnKf8PBG/O53RgB77bXtdqtFYcrRQnrCyAXGWkEiIiJyVUpKLAQG+uDr60G7dk2q3e+xx6IBWLHiJ7vVojDlCDl74NSPkDLXeBVkObsiERGROs3f34svvhjHxo130779pTC1aNE+zpwpLH/frVtTRo26DnsOEVc/k72VFMFXvzMClbs3XMyHtnHgV3X/roiIiNSMh4cbHTsGlb/fufM0d9/9JQEB3hw+PIXGjY1eoCeeiGbVqr32q8NuZxZD8tNw+kfwCYIbxkPJBWigICUiImJrZnMx3boF07FjYHmQAhgyJIyePUPYbqdhU5oaoZZqNTVCxkZYPNiYT2rMp5qYU0RExM4sFgtmc3H5zOmFhSXk5FwgLe0kw4d30HIydUpxPqy61whSne9VkBIREXEAk8lUHqQ++SQNf//XiI9fRVRUqN2uqTBlL98/CnmHwD8chr0GZaWXlpIRERERu7v++saUlJRx7Ng5u15HYcoejm+AHfONr0cuAO8AOPofeMUDFg1yamkiIiLXim7dgjl69H727Ztk1+toALo9tOwPQ16CC9kQ/vPCioW5gAVMyq8iIiKO4OnpTliYbcdHVUVhyh5MbhD1aMVt7cfB/zsJZSXOqUlERETsQmHKljI2QbNI8GxQ+TN3T/Cz3+A3ERERqWzv3hwSE/8LFF5x36ulMGUrZw/Bp7HQsAXc8R/wb+nsikRERK55ZnMxiYmpBAVded+rpTBlC2WlxjQIF/ONCTmraoHa/wmc/Qla3wQhPRxfo4iIyDWoe/dgHn00ik6d/Jg82T7XUJiyhR/mwomN4OUPo94HN/fK++z9EA4uB69GClMiIiIO4uvryUsvxWA2mxWmXFbWf2HTTOPrYa9DQJuq9wsfYUyRENzVYaWJiIiI/SlMWePiBVj5e+MJvfbjjJnOq9NjquPqEhERkXJlZRYOHsy12/k16ZE1kp+B3L3GGKkR/wsmk7MrEhERkd/YtCmDXr3+bbfzq2XKGj2mwan/Qq9HoEHw5fe1lGnCThERESeIjGxGgwaenD9vn/ObLBaLxT6ndl3p6elMmjSJrKws3N3d2bx5M35+fjU61mw2ExAQcGnVaYvlyi1SpcXwqq8xZmpyuvGniIiIOMyZM2cJDGxy6fe3DV2TLVP33Xcfzz33HIMGDSI3Nxdvb++rP1lNuvYKzxgtU4VnjSf+RERExKHc3e3XO3TNhandu3fj6enJoEHGgsOBgYH2v2iDpsZSMkV56uoTERGpZ1zuN/v69euJi4ujRYsWmEwmli9fXmmfxMRE2rRpg4+PD3369CElJaXG5z9w4AANGzYkLi6Onj178vzzz9uw+mqY3IxB6oEd7H8tERERqeTw4bN2O7fLtUwVFBQQERHBpEmTGDduXKXPFy9eTEJCAm+//TZ9+vRh3rx5xMbGkpaWRrNmzQCIjIykpKTygsJr1qyhpKSEpKQkUlNTadasGSNHjiQ6Opobb7zR7t+biIiIOEfjxj52O7fLhalRo0YxatSoaj9/5ZVXmDJlChMnTgTg7bff5quvvuK9995j+vTpAKSmplZ7fMuWLYmKiiIsLAyA0aNHk5qaWm2YKioqoqioqPy92Wyu7bcEWdvhyDcQ3A2uH13740VERMQq9gxTLtfNdznFxcVs27aNESNGlG9zc3NjxIgRJCcn1+gc0dHRnDp1ijNnzlBWVsb69evp1KlTtfu/8MILBAQElL9+CWG1kpEESdNhz/u1P1ZERERcWp0KU9nZ2ZSWlhISElJhe0hICJmZmTU6h4eHB88//zyDBw+me/futG/fnltuuaXa/WfMmEFeXl7569ixY7UvvEkH6BIPrYbU/lgRERFxaS7XzecIV+pK/DVvb2/rpk4AuG6k8RIREZF6p061TAUHB+Pu7k5WVlaF7VlZWYSGhjq+oHMZcCLZWKNPRERErkl1Kkx5eXnRq1cv1q5dW76trKyMtWvX0q9fP7teOzExkc6dOxMdHX1p4797wsf9IXff5Q++9iaZFxERuWa4XDdffn4+Bw8eLH+fnp5OamoqgYGBhIeHk5CQQHx8PFFRUfTu3Zt58+ZRUFBQ/nSfvUydOpWpU6eWLycDQMD14O4DF/Mvf/CiQZC7B25eBG1usmudIiIi4lguF6a2bt3K0KFDy98nJCQAEB8fz4IFC7jrrrs4ffo0M2fOJDMzk8jISFavXl1pULpD3L2pZsvJXMg2lpRxt3LslYiIiLica3KhY2tUWui4Js6fggs50CgcPGu2oLKIiIjYzlX9/q4hl2uZqpcaNDNeIiIiUu/UqQHozlTlAPRTP8IXd8K3DzqvMBEREXEqdfPVUoVmwnO7YNEAaNQaphyu+oDCM7BjvtEy1dW+g+RFRESkaurmc1WBHWHoPGjUpvp9zEeNpWQahChMiYiI1EMKU9bwDYSef778Pp5+xlIyHg0cU5OIiIg4lMKUvTVpByMXOLsKERERsRMNQK+hKgegAxRkGUvKmK9iAWQRERGp8zQAvZYqDWD7cgKkLYYhL0NUgrPLExERkSrYcwC6WqasFXA9+IeDWzU9phuehDeaQPKzjq1LREREHEJjpqw16HnjVZ0L2VB0Vosdi4iI1FMKU/Y26AXjiT/vxs6uREREROxAYcrefJoYLxEREamXNGaqhqp9mu/ieWNJmY/6Q2mxc4oTERERp9HTfLVU6WkAiwVe9YXSIpicDgFtKh6Q+ha4uUP78cYknyIiIuJwWk7GlZlMMPxN8A4A36DKn2+YAUV50GqIwpSIiEg9pDBlC90mVb3dYoF246AwB3ybOrYmERERcQiFKXsymWDke86uQkREROxIYcoWCs9A7j5w94aQns6uRkRERBxIT/PZQtoS+Lg/bHra2ZWIiIiIgylM2UJAG2NJGd/gitsPfwOJgbAszilliYiIiP2pm6+GEhMTSUxMpLS0tPKHbWLh/iOVtxfmGF2AF/PtX6CIiIg4heaZqqVazVNxsQDMx4yvgzravzgRERGpkuaZqqs8/RSiRERE6jmNmbKVdY/BR/3g+AZnVyIiIiIOpDBlKzm74ORmOHvg0rZDK2HHfMjZ57y6RERExK4Upmwl6nEY8ym0vvHSth3z4ZsH4Pj3zqtLRERE7Epjpmyl9fDK25r3BSzQ5AaHlyMiIiKOoTBlT32mO7sCERERsTN189VQYmIinTt3Jjo6uuodLl6AE8mQvsqxhYmIiIhTaZ6pWqp2norcNPhXR/BsCNPMxiLHIiIi4hI0z1Rd4B8GjVobf5YUGmHq7ebgEwj3/gheDZ1doYiIiNiBwpSteDaAKYcvvc8/CUVnodhsfCYiIiL1ksKUvfgGw317oTgPTBqaJiIiUl8pTNmLu6eWkhEREbkGqMnElna+Cx/1hR9edHYlIiIi4iBqmbKl86fh5BZjks7TO+FkMgR2glaDnF2ZiIiI2InClC21GwuBN0BgZzi8CtYlQMe7FaZERETqMYUpWwrqeGmcVO5eaDsGQquZ5FNERETqBYUpe2l/m/ESERGRek0D0G3txGbYtxiKzzm7EhEREXEAhakauuLafL/4fBx8NcFYXkZERETqPa3NV0tXXNtnxTi4cBpydoN3E4h9D8KGOL5QERERKae1+eqSWz8z/nzvBjhzQLOfi4iI1HMKU/Zy20qjhSqoi7MrERERETtSmLKXJu2Ml4iIiNRr6oOytRObjSVllo91diUiIiLiAApTtmYyGUvK/LQCDix3djUiIiJiZwpTthbUGfrONL5e+5BzaxERERG705gpW/Pyh44T4PSP4G3bRy9FRETE9ShM2UNQJxi73NlViIiIiAOom88esncZS8rk7HN2JSIiImJnClP2sOUFY0mZQ184uxIRERGxM4UpezCZjD/zDju1DBEREbE/jZmyh2FvQKsh0P52Z1ciIiIidqYwZQ8+jaH7FGdXISIiIg6gbj4RERERKyhM1VBiYiKdO3cmOjra2aWIiIiICzFZLBaLs4uoS8xmMwEBAeTl5dGokSblFBERqQvs+ftbLVMiIiIiVlCYEhEREbGCwpSIiIiIFRSmRERERKygMCUiIiJiBYUpERERESsoTImIiIhYQWFKRERExAoKUyIiIiJWUJgSERERsYLClIiIiIgVFKZERERErKAwJSIiImIFhSkRERERKyhMiYiIiFhBYUpERETECgpTIiIiIlZQmBIRERGxgsKUiIiIiBUUpkRERESscM2FqbS0NCIjI8tfvr6+LF++3NlliYiISB3l4ewCHK1Dhw6kpqYCkJ+fT5s2bbjxxhudW5SIiIjUWddcy9Svff755wwfPhw/Pz9nlyIiIiJ1lMuFqfXr1xMXF0eLFi0wmUxVdsElJibSpk0bfHx86NOnDykpKVd1rSVLlnDXXXdZWbGIiIhcy1wuTBUUFBAREUFiYmKVny9evJiEhARmzZrF9u3biYiIIDY2llOnTpXvExkZSdeuXSu9Tpw4Ub6P2Wxm06ZNjB492u7fk4iIiNRfJovFYnF2EdUxmUwsW7aMsWPHlm/r06cP0dHRvPHGGwCUlZURFhbGtGnTmD59eo3P/cEHH/D111/z73//+7L7FRUVUVRUVP4+Ly+P8PBwjh07RqNGjWr3DYmIiIhTmM1mwsLCOHv2LAEBATY9d50agF5cXMy2bduYMWNG+TY3NzdGjBhBcnJyrc61ZMkS7r///ivu98ILL/DMM89U2h4WFlar64mIiIjz5eTkXNthKjs7m9LSUkJCQipsDwkJYd++fTU+T15eHikpKXz66adX3HfGjBkkJCSUvz979iytW7fm6NGjNv+PUd9ER0fzww8/OLuMGnNmvfa+tq3Pb+35rDm+tsfWZv9f/uWqlucr0/3tOtfW/V2z/X/pWQoMDLyq2i6nToUpWwkICCArK6tG+3p7e+Pt7V3lOfQ/28tzd3evU39HzqzX3te29fmtPZ81x9f22Ku5VqNGjerUz64z6P52nWvr/q7dtdzcbD9c3OUGoF9OcHAw7u7ulYJQVlYWoaGhTqpKqjN16lRnl1ArzqzX3te29fmtPZ81x9f22Lr2c1hX1LW/V93fjjvftXh/18kB6L179+b1118HjAHo4eHhPPzww7UagH61zGYzAQEB5OXl1al/lYnIlen+Fqm/7Hl/u1w3X35+PgcPHix/n56eTmpqKoGBgYSHh5OQkEB8fDxRUVH07t2befPmUVBQwMSJEx1Sn7e3N7Nmzaqy609E6jbd3yL1lz3vb5drmVq3bh1Dhw6ttD0+Pp4FCxYA8MYbb/Diiy+SmZlJZGQkr732Gn369HFwpSIiIiIuGKZERERE6pI6NQBdRERExNUoTImIiIhYQWFKRERExAoKUyIiIiJWUJiyoS+//JIOHTrQvn17/vnPfzq7HBGxodtuu40mTZowfvx4Z5ciIjZ07NgxYmJi6Ny5M927d2fp0qW1Poee5rORkpISOnfuzHfffUdAQAC9evVi06ZNBAUFObs0EbGBdevWce7cORYuXMgnn3zi7HJExEZOnjxJVlYWkZGRZGZm0qtXL/bv34+fn1+Nz6GWKRtJSUmhS5cutGzZkoYNGzJq1CjWrFnj7LJExEZiYmLw9/d3dhkiYmPNmzcnMjISgNDQUIKDg8nNza3VORSmfrZ+/Xri4uJo0aIFJpOJ5cuXV9onMTGRNm3a4OPjQ58+fUhJSSn/7MSJE7Rs2bL8fcuWLcnIyHBE6SJyBdbe3yLiumx5f2/bto3S0lLCwsJqVYPC1M8KCgqIiIggMTGxys8XL15MQkICs2bNYvv27URERBAbG8upU6ccXKmI1Jbub5H6y1b3d25uLvfeey/z58+vfREWqQSwLFu2rMK23r17W6ZOnVr+vrS01NKiRQvLCy+8YLFYLJaNGzdaxo4dW/75n//8Z8uHH37okHpFpOau5v7+xXfffWe5/fbbHVGmiFyFq72/CwsLLYMGDbK8//77V3VdtUzVQHFxMdu2bWPEiBHl29zc3BgxYgTJyckA9O7dm127dpGRkUF+fj6rVq0iNjbWWSWLSA3V5P4WkbqpJve3xWLhvvvuY9iwYdxzzz1XdR2FqRrIzs6mtLSUkJCQCttDQkLIzMwEwMPDg5dffpmhQ4cSGRnJo48+qif5ROqAmtzfACNGjOCOO+5g5cqVtGrVSkFLpA6oyf29ceNGFi9ezPLly4mMjCQyMpKdO3fW6joeNqtYGDNmDGPGjHF2GSJiB99++62zSxAROxg4cCBlZWVWnUMtUzUQHByMu7s7WVlZFbZnZWURGhrqpKpExBZ0f4vUX466vxWmasDLy4tevXqxdu3a8m1lZWWsXbuWfv36ObEyEbGW7m+R+stR97e6+X6Wn5/PwYMHy9+np6eTmppKYGAg4eHhJCQkEB8fT1RUFL1792bevHkUFBQwceJEJ1YtIjWh+1uk/nKJ+/uqngGsh7777jsLUOkVHx9fvs/rr79uCQ8Pt3h5eVl69+5t2bx5s/MKFpEa0/0tUn+5wv2ttflERERErKAxUyIiIiJWUJgSERERsYLClIiIiIgVFKZERERErKAwJSIiImIFhSkRERERKyhMiYiIiFhBYUpERETECgpTIiIiIlZQmBIRERGxgsKUiLgMi8XCK6+8wnXXXUeDBg0YO3YseXl51e6fk5NDs2bNOHz4sOOKrIWYmBgeeeSRWh0zYcIEXn75ZfsUJCJ2obX5RMRlPPbYY6xYsYJ3330XPz8/xo4dy/jx4/nHP/5R5f4JCQmcO3eOd955x8GV1kxubi6enp74+/vX+Jhdu3YxePBg0tPTCQgIsGN1ImIrClMi4hK2bNlCv3792Lp1Kz179gTg2Wef5cMPPyQtLa3S/ufPn6d58+Z8/fXX9O3b96qvW1xcjJeX11Ufbw/R0dHcd999TJ061dmliEgNqJtPRFzCSy+9xPDhw8uDFEBISAjZ2dlV7r9y5Uq8vb0rBanVq1czcOBAGjduTFBQELfccgs//fRT+ecxMTE8/PDDPPLIIwQHBxMbGwtAWVkZc+fOpV27dnh7exMeHs7s2bMrHDdt2jQeeeQRmjRpQkhICO+88w4FBQVMnDgRf39/2rVrx6pVqyoc8+tuvpiYGP70pz/xxBNPEBgYSGhoKE8//XSl7y0uLo5FixbV6u9PRJxHYUpEnK6oqIivvvqK2267rcL2wsLCaru6kpKS6NWrV6XtBQUFJCQksHXrVtauXYubmxu33XYbZWVl5fssXLgQLy8vNm7cyNtvvw3AjBkzmDNnDk899RR79uzho48+IiQkpMK5Fy5cSHBwMCkpKUybNo0HH3yQO+64g/79+7N9+3Zuuukm7rnnHs6fP1/t97pw4UL8/PzYsmULc+fO5dlnn+Wbb76psE/v3r1JSUmhqKjo8n9xIuIS1M0nIk6XnJxM//798fHxwd3dvXz7xYsXGTp0KKtXr650zNixYwkKCuLdd9+97Lmzs7Np2rQpO3fupGvXrsTExGA2m9m+fXv5PufOnaNp06a88cYbTJ48ucrzxMTEUFpaSlJSEgClpaUEBAQwbtw43n//fQAyMzNp3rw5ycnJ9O3bl5iYGCIjI5k3b16V5wAjOA0bNow5c+aUb9uxYwcREREcPnyY1q1bX+FvT0SczcPZBYiI7N+/Hz8/P1JTUytsv/nmmxkwYECVx1y4cAEfH59K2w8cOMDMmTPZsmUL2dnZ5S1SR48epWvXrgCVWrT27t1LUVERw4cPv2yd3bt3L//a3d2doKAgunXrVr7tl5asU6dO1egcAM2bN6+0v6+vL8BlW7hExHUoTImI05nNZoKDg2nXrl35tiNHjnDgwAFuv/32Ko8JDg7mzJkzlbbHxcXRunVr3nnnHVq0aEFZWRldu3aluLi4fB8/P78Kx/wSXq7E09OzwnuTyVRhm8lkAqjQpViTc/x2/9zcXACaNm1ao7pExLk0ZkpEnC44OJi8vDx+Pepg9uzZjB49ms6dO1d5TI8ePdizZ0+FbTk5OaSlpfHkk08yfPhwOnXqVGXg+q327dvj6+vL2rVrrftGbGTXrl20atWK4OBgZ5ciIjWglikRcbphw4ZRWFjInDlzmDBhAh9++CFffPEFKSkp1R4TGxvLjBkzOHPmDE2aNAGgSZMmBAUFMX/+fJo3b87Ro0eZPn36Fa/v4+PD//zP//DEE0/g5eXFgAEDOH36NLt37+aPf/yjzb7PmkpKSuKmm25y+HVF5OqoZUpEnC4kJIQFCxbw1ltv0aVLFzZv3syGDRsICwur9phu3brRs2dPlixZUr7Nzc2NRYsWsW3bNrp27cpf/vIXXnzxxRrV8NRTT/Hoo48yc+ZMOnXqxF133XXZsU/2UlhYyPLly5kyZYrDry0iV0dP84lInfXVV1/x+OOPs2vXLtzc6se/Dd966y2WLVvGmjVrnF2KiNSQuvlEpM66+eabOXDgABkZGZdtxapLPD09ef31151dhojUglqmRERERKxQP9rFRURERJxEYUpERETECgpTIiIiIlZQmBIRERGxgsKUiIiIiBUUpkRERESsoDAlIiIiYgWFKRERERErKEyJiIiIWEFhSkRERMQK/wc841dcHvEcFAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Gamma noise" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] + np.random.gamma(size = catalog[\"shear_1\"].shape[0], shape = 1, scale = 0.01)\n", + "shear2 = catalog[\"shear_2\"] + np.random.gamma(size = catalog[\"shear_2\"].shape[0], shape = 1, scale = 0.01)\n", + "convergence = catalog[\"convergence\"] + np.random.gamma(size = catalog[\"convergence\"].shape[0], shape = 1, scale = 0.01)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = catalog[\"shear_1\"] - np.random.gamma(size = catalog[\"shear_1\"].shape[0], shape = 1, scale = 0.01)\n", + "shear2 = catalog[\"shear_2\"] - np.random.gamma(size = catalog[\"shear_2\"].shape[0], shape = 1, scale = 0.01)\n", + "convergence = catalog[\"convergence\"] - np.random.gamma(size = catalog[\"convergence\"].shape[0], shape = 1, scale = 0.01)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:10000], shear1[:10000])" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Bias with Gaussian noise" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "m = 0.1" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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C7Dupv/6CoUOvVxi+5RZDoNOqlX3Hs5GslhJC+BQ1AUVadn6xwAZcU1HW2TkgnuCsFUjGwAOuBxpGpgIPe6eYusfGMO/p1kRHFH89OiLY5ilAW8/ZU2wJok3ZsWMHrVq14sMPPwSgY8eO6HQ6+04mKwvGjbteYbhiRfjwQ0hIcFtgAzJyI4TwMfYGCq6YJnJ2DognOHP0yRh4lJzeKpmfotMr6PUKkSEBpF/NN3ksS1NM3WNjnDbtqPacPcneIDovL4/p06fz5ptvotfrqV69OkuWLLG/ynDJhOFHHjEkDNeoYd/xHCDBjRDCpzgSKDh7msjZOSCe4OzRJ2uBh6ncnpLUjJo4c5rImcGSK9gTRJ8/f5777ruPPXv2APDUU0/x0UcfUalSJdtPwAMJw9ZIcCOE8CnWAgo1nDVN5OwcEE9wxeiTucDDXG5PSZ4YNfFkTo019gTRVapUITg4mKioKObPn89jjz1m+xuXTBj28zMEOW5IGLZGcm6EED7FUp6EWs6cJnJmDognGB+clu5lpdAAh0efLOX2GEWGBPDF/7Vny7iuXn/f3EltbtDpUye5evWqYR8/P1asWEFiYqJ9gc3+/XDrrdcrDN9yC/z5J7zzjscDG5DgRgjhg8wFFDERwUSGBph9UGuubePsaaLusTFsGdeVLwd3YM6TLflycIcy84A2PjgtBR1p2fmsPZjs0PuoKZiXfjUfrUbj1SNdnmIpiP64TyvO7lhDs2bNmDhxYuH36tSpQ0yMjT+DWVnw8svQpg3s2OGxhGFrZFpKCOGTzOVJrD2Y7JFpIm+e1rDm7ibRRIYGkJ5tPrnX0URsX1hZ5mmmfuZrh+QxbOgQVq1aBcCuXbvIz8+3b4n3mjUwYoRXJAxbIyM3QgifZQwoerWsQccGlfHTasr8NJEn7DyeajawAetLjdXwhZVl3qDoz/y5fX/QonkzVq1aRWBgILNmzWLDhg22BzbnzsHjj0OPHobApnZt+Okn+O47rwxsQEZuhBDlkLevfvE27hhV8YWVZd4iPT2d5557juXLlwPQsmVLli1bRmxsrG0H0ukMCcPjx19PGH7hBZgyxSvyaiyRkRshhBAWuWNUpawUzCsLMjMz+emnn9Bqtbz66qvs2LHD9sBm/37o1MkwDWVMGN61C2bN8vrABmTkRghRDnlLU82ywl2jKmWhYJ63KppHU7t2bT777DOio6Pp0KGDbQfKyoJp0+C99wwjNxUrwptvwvDhhpGbMkKjKIq9pSDKrMzMTCIiIsjIyCA8PNzTpyOEcCNztVSM4wHuyLtxpLu2pxjvG5hOxHbmfSuL98eTtm/fTv/+/fnggw/sry4MhoThZ5+FkycNXz/6KLz/vlfl1ah9fktwI8GNEOWGTq/QeeYGs0uOjSMQW8Z1ddnDtCyPGpXlc/dFeXl5vPbaa8yYMQO9Xk+7du3Yvn07Go2NP7vnzhmK7337reHr2rVh7ly4/36nn7Oj1D6/ZVpKCFFueLpLtzO6a3tS99gYujaqxrKEE5xMzaZOVCh9O9Yl0F8roy1ulpiYSN++fdm3bx8Affr04cMPP7QtsDGXMDx1KoSFueS83UWCGyFEueHJWirWums7u2mnK5gauVm85Tg9W8Tw0/4kGdFxA51Ox+zZs3n11VfJy8ujcuXKzJ8/n0cffdS2A+3fD0OHGgrxAbRrZwh0WrZ0+jl7gqyWEkKUG56spWLLqJE3Mo46lbyGpIwcFmw6Xup142hUfGKSO0/T5XR6hYRjKazcd5aEYyno9O7N7Pj9998ZO3YseXl53H///SQmJtoW2GRlwdixxSsMf/QRbNvmM4ENyMiNEKIc8WQtFW+rwGvLNJKavk8llZXRKFt4Q85RXFwcw4YNo23btgwcONC2aShTCcNz5kD16q45WQ+S4EYIUW54sku3N1XgtfUhrabvkynOyGHyllweT+VLJScnM3bsWN555x2qVasGwLx582w7SBlKGHYWCW6EEOWKp2qpeEsFXnse0o6OJtm7vzeMlIDn8qW+++47hg0bRkpKCjk5OXxrDE7U0ulg/nyYMMHnEoatkeBGCFHueKL9gidHjYzsfUg7Oppkz/7etLLM3avs0tLSeO655/jiiy8AQ/uEKVOm2HaQffsMCcM7dxq+9rGEYWskoVgIUS6Zaqrpap5u2mlvUrNx1MnWO6TBMNJi62iUtSAMDEGYu5J53Zkv9dtvv9GsWTO++OILtFotEydOtK19gjFhuG1bQ2ATHm6YgvKxhGFrZORGCCHcyJNNO+19SFsadTLHkdEoZ42UOCtfx135Ul9++SVPPfUUAA0bNuTzzz+3rX3C6tWGXlDGhOHHHjNUGPbBhGFrJLgRQgg3M44auZsjD2lzuUoxEcEm69w4ksPkjJESZ+bruCtf6v7776d+/frcd999zJw5k9DQUHU7njsHo0bBd98Zvq5TxzBa06OHQ+dTlklwI4QQ5YSjD2lLo04vd2/stNEotUHY5n8vcW9sDLtPphV737UHk52ar+OqfKm8vDyWLVtWuKS7YsWK7Nu3j4oVK6o7gDFhePx4uHzZkDA8ZgxMmeLzCcPWSG8p6S0lhChHbG2A6Yml2Dq9Qqe31pOcmWt1W60GiqbeRIcHk1OgIz073+T2jvQPc+Zo0IEDB+jXrx/79u1j7ty5PPvsszbtXyphuH17Q8Jwixa2HaeMkd5SQgghSrFlKbynlmL7aTX0bleb2euOWN22ZE5xcqblKS1HVjY5I19Kp9Px3nvvMXHixML2CTExNtzLrCzDUu7Zsw0jN+HhMGOGIdDx87PpenyZBDdCCFHOqHlIe3opdt0qrp1WsXdlkyP5Uv/99x/9+/dny5YtgCHHZtGiRURHR6s7wKpVhoThU6cMX5fjhGFrJLgRQohyyNJD2huafLq6UrM7KkEX9d133zFgwACuXLlChQoVmDNnDgMGDFDXPsHFCcPeUgXamSS4EUIIL+eMh48tx9j+X4qqpdjbj6XQqWEVm85DLWvJz/ZyVyXokurUqcPVq1e5/fbbWbp0KfXq1bO+kxsShr2lCrSzSUKxJBQLUW4VfeBXCQsCDVy6kmvx4W9rw0lHgxJnPHxsOUZ8YhKv/O8A6VdNJ+QWFRkSwFuPNHPZQ9Dc1Ji9zCVNu8qRI0do2LBh4dfbtm2jQ4cOaLUq6ufu2wdDhsCffxq+dkHCsLn76+77ZAu1z28JbiS4EaJcMvXAL8rUw9/WIMEZQYmjDx9bjmFPMKFReR72ik9MYupPf6taOVX0nCJDAwjy1xbbz10jEqmpqYwcOZL//e9/7N69W311YYArVwwJw++/79KEYZ1eofPMDWZ//h1ZVeZKEtxYIMGNEOWbmod4yYe/M4IEW4ISex4+JUeK2tSpRJdZv6s6BmDx/cxxx0NQp1f4aMNRZq/7V9X5gOEee6IS9G+//caAAQM4d+4cWq2Wjz/+mKFDh6rbuWTC8OOPG1ZFuSBhOOFYCr0Xbbe63ZeDO3ik4KQ5shRcCCFMsJQsW1TRxNmujaqpTrDl2v93NBnX1hYEpkaKosICSc3KU3UMrv1/Wzm7aaQpfloNo+IacnN0hVLXWKrOTYnRGXc9mLOyshg7dizz5s0DDO0Tli1bRvv27a3vfPasIWH4f/8zfF2nDnz8Mdx3n8vO1539sjxBghshRLliLWgoyvjgXpZwwqaGk87oi2TLw8fcSJGlwMae93L1MawxtYS9TZ1KpSoUu3saJSEhgX79+nH06FEARo4cqa59gk4H8+bBhAlurzDsrn5ZniLBjRCiXPntYLLN+5xMzVa1nS0PeGvbqn2oVAkL4qXv9juUdOuMB5i7HoKmlrB7etpk06ZNHD16lJo1a/Lpp58SFxdnfSc3JAxb4q5+WZ4iwY0QotyYseYgn249YfN+daLUNTC05QFftWKw2dVUOr2CXlGIDAkwu2rJ+PBBY990UtFjGB9g9iy9LusPQXsVFBTg7294hL4w5kWOJafT5eG+hFWvhk6vmB89MpUw/NZbhkDHjRWGXdUvy1tIcCOEKBfW/HWOBZuO27SP8cHdt2NdFm85rvqvXDV/Eadl5ZZK4I0KC+CR1jVZ9VeSxYCl6MNn3cHzNl2TqWMYH2DmHna2HMPX6XQ63n33Xb788ku2bdvGxmPphjygoM78tvo4cNz8qixTCcPvvw+2tF9wIltacZQ1slpKVksJ4fN0eoVb3lhLapb12i1G5lZLgfWGk9a2HXJ7PRZuOm73VJLx4bn3VJrqgC0qLKDY9du6hL1nixh+2p/kc8XebHHs2DH69+/P1q1bARg1dRYrrza2virOAwnDtihLFYplKbgFEtwIUX7o9ApLtx5n+upDNu3nqjo3k3o0Yfpq8/V1LIkMDWBu79Z0aFCZXxOTeHbFXqv7GEeKNo69U3XiraXpsrLyEHQmRVFYtGgRY8aMISsriwoVKjB79vssvlDHbP0dDVC9YgCbKx5GO3Hi9YThF1+EyZNdnjDsq2QpuBCi3LNWqM+UkXc2oNONN5h8cNvSFdrctras1iopPTsf7bX3mrgyUdU+CoZpo0B/rerEW3N9pxxpGllWJSUlMWjQIH755ReAwvYJyfpwki3UiWl8/j/e/PxDtEnXOpu3bw8LF0Lz5u447XJPghshhE+yp9pu5bBAnr/rJnafTGPVX+dMBi+2POBNbevokukLlw3LyNVOsQ3sVLfcTBu5wvPPP88vv/xCUFAQb775JqNHj0ar1fLXvrMmtw/Nu8roLSsYuGsl/oqe/AoVCXh7pqHCsJq2C8IpJLgRQvgctYX6Snq4dY1SFX2dnVfi6JLpqhWDbQqQjIUFhX3ee+89UlJS+PDDD2natGnh66Y+x7uO7uC13+ZT4/JFAFY1uo3oJfNo27FpqW2Fa0lwI4TwOfZM/dzdpCqLN5dO8k3OyGH48j1O65/Url5UqeReNYquyDIWC7SmclhguVqi7YycoF9//ZWtW7fy2muvAVCrVi02bNhQaruidWKqXr7E1HULufffbQCcjqjGpLuH80/rzmxp38TxCxM2k+BGCOFzbBnZCAvyY+ZDzXjjl8MOt0ywpOiDt2+HOsxZf1T1viWXXBsfrNYCuOm9YstFwi843qg0KyuLl156ifnz5wPQpUsX7rrrLrPb+2k1TLnvZra/9DovbvqcinlXKdBoWdTuYT7o9CQ5AcHMK0dL5L2NBDdCCJ9jy9RPeHAAlSoEOaVlgjmmHryhgX5k5+lU7V+y7kjRAmzmpt6G3l6P+5qXj1wbc/lVakfdtm3bRr9+/Th27BhgyLPp2LGj5Tfdu5fuQ4bQfdcuAPZUv5kJ3UZyuGq9crdE3htJcCOE8DlqRzbAELQkHEtRdVxrI0KmpkXWHkw2+eC9ei2wqRDkz5XcgsLXDcvFG1MpLMji9IqxANsr3x8gPbv4FFdkaACtaldSdU1lnaX8Kmujbrm5uUydOpW3334bvV5PzZo1Wbp0qcURG65cMfR+ev990OshIgL9mzPIvftRhmfllasl8t5MghshhM8xjmwMu1ZIzzp1qcfmRoR0eoWPNhzl063Hi7VLiA4PJie/wOKDt0KQHwv6tuHSlVy7HowZ2aVzdzKy8xm2fA8DO9Xl7ibRPv2wtbV7euHrikKPHj1Yv349AP369WPOnDlERkaaf7OffzZUGD592vD1E0/A7NloY2KwMs4j3EzWpQkhfFL32BheiLtJ1bYd61chJiIYc49/DYYRFVPJufGJSbR5fS2z1/1bqg9UcmYO6VcLSu1jpADJmbloNRp6taxBxwaVVQch1kYsAJZsPUHvRdvpPHMD8YlJqo5rL51eIeFYCiv3nSXhWAo6vXvqw6rNr9p69GKxc9JoNAwbNowqVarwv//9j88++8x8YHP2LDzyCPTsaQhs6taFNWvgq6881jpBWCYjN0IIr+HsCrgju97IlztPWqwiGx0RTIcGle1qIhifmGTD6JB59tS+sWVFmLNXfJXkaDKvI9TmV330+zG+WPsnTzYJYdzARwF49NFHufvuu4mIiDC9k05naJPw6qvXKwy/9JKhwnCoumaqwjMkuBFCuI2l4MUVD0g/rYapPZta7PNkDFosNRGc1KMJESGBrNx3tvC8wZDL4Qz21L6xJSBy1oovUxxN5nVU0SXZ5saKFEXhyv54Tm34hL/8A6ld/yZ632GoFGw2sNm719Cp+1rCMB06wIIFUmG4jJDgRgjhFpaCF8BlD0hzQUtUWCDTe8UWO66plglpWbmlekHFRATz5C217W6jUJS56S5rbA2IHF3xZYojybzOUnTlmKlu5gWXU0j55QNyju8GIDD6RmbFH+Tx25uZPicTCcO89ZYh0JEKw2WGWz6puXPnUrduXYKDg2nfvj07d+60uP23335Lo0aNCA4OplmzZqxZs6bwe/n5+YwbN45mzZoRFhZG9erV6devH+fOnXP1ZQgh7GT8675kMJCckcOw5Xt45fsDFnNHpv180KEcju6xMUzq0ZiosIDC11Ky8pi++mCpXBRjy4ReLWuQcTWPESv2mjzv2ev+tft8ijI13aWGccTC1j0dbf9QlC3JvK5kDGCjI4oHfFmHNpG0ZIQhsPELoFLX/6Na7zdJpaLpc/r5Z2jSBN57zxDYPPEEHDoEw4ZJYFPGuPzT+vrrrxkzZgxTpkxhz549tGjRgm7dunHhwgWT22/bto3evXszaNAg9u7dy4MPPsiDDz5IYqKhSVx2djZ79uxh0qRJ7Nmzh++//55//vmHnj17uvpShBB2UJP4WnIpc8ltHH1AxicmMWLF3lJVgY3B1Ws//10qCVbNeTvqhbiGDk25GUe9bAlwHG3/UJTaQMmZAZU53WNj2Dj2TioE+aHodVz8aRaXfnobfc4VAqs1IOaZOYTf8iAajbbwnIxJ0L/++icp3e6XhGEf4vLg5r333mPw4MEMGDCAJk2aMH/+fEJDQ1myZInJ7efMmUP37t0ZO3YsjRs3Zvr06bRu3ZqPPvoIMMyPrl27lscff5ybb76ZDh068NFHH7F7925OnTrl6ssRQtjIkS7YRdn7gLRlVdEtb6xlzV+GUWBnnbc5MRHBjOza0KFjmBuxMMXSii97qQ2UnBlQWbL7ZBpXcnVotH5oA4NBoyXi1t5E932XwCq1i2174lIWt89Yy69DJ9CpZxcq/7aaAq0f/w0cAX//Dffe65ZzFq7h0pybvLw8du/ezfjx4wtf02q1xMXFkZCQYHKfhIQExowZU+y1bt268eOPP5p9n4yMDDQajdllfLm5ueTmXl8tkZmZqf4ihBAOcdZf7fY+IG0JUlKz8nl2xV6GnkmnSXUziaYmmMr1sLQt2D8dVZIxT+ijDUeYve6I2e0UB9/TVDK4tWTeov2wbD22red55coV/j15pvDrSncOokKLbgTFlC4HEBbox2/Lf+HjX+fSItlwz3ZXb8Sr3Ufyzw11mfdfBt1jZTVUWebS4ObSpUvodDqqVatW7PVq1apx+PBhk/skJyeb3D45Odnk9jk5OYwbN47evXsTHh5ucpsZM2Ywbdo0O65ACOEoR/9qV/uANMee4GrBpuPc30zddMQLcQ356s/TJgOoyFBDjk/RabeirRScufT9qz9PW91Gb2fekqVkcHuW0Be15q8kJq5MJDUrr9Sx1U7Zbd26lX79+lE5pjZKpxfRaDRog0JNBjaheVd5+Y8VPL1zJX6KnsygMGZ26c+Klt1RNFq3JEEL1yvTq6Xy8/N5/PHHURSFefPmmd1u/PjxxUaDMjMzqVWrljtOUYhyT81f9xGhAYWVdm15QKoJDuwNrlYdsFz0zhh0jezakIZVK/LsitL1bozX9ELcTdStElrsHJ259F3t6NQr3x8gt0BPdEQIbepUYvfJNJP3ruh9PXEpy+SIUNGVbOaW0Fu7ljdW/82izSdKvZ6kcpVcbm4uU6ZMYdasWej1evLz86nS6TJphJv8WYs7soPp6+YTk3kRgJ8b3cZrdw3mYoXrgbMrVpUJ93NpcFOlShX8/Pw4f/58sdfPnz9PdHS0yX2io6NVbW8MbE6ePMmGDRvMjtoABAUFERQUZOdVCCEcUXSprjlvPdwMwKYHpNrgIC0rF60GnF0w1zjNAzB9tel6N8bl0F/9eYot47oWq+njzKXvakenMnMKeOGb/QCl7knRZfkl76spRZd6bxnXtdQSemujUG+sPmgysCl6fEsjKPv376dv374cOHAAgP79+zNnzhwSTmeXGkmKzrzE1PUL6P6vIR3iVEQ1Jt3zLBvrtzH7/u5Ighau49LgJjAwkDZt2rB+/XoefPBBAPR6PevXr2fkyJEm9+nYsSPr169n9OjRha+tXbu2WIdWY2Bz5MgRfv/9dypXluhaCG/WPTaGIbfXY9Hm48UeqFoNDL6tXuGDXO0DUm1wYFwl5YpGAGFBfoDtvY3UJDi/+O1+wgL8ubVhFVVTI/aMTpUM9owrx2xR8trUjnSs+SuJRZuPW93O1AiKTqdj1qxZTJ482TBSU6UKCxcu5KGHHgKge0RE4UjS+bQs+u1ZzUubl1Eh7yp6f3+SBo3gnrDbyAmwfM/clQQtXMPl01Jjxoyhf//+tG3blnbt2vH++++TlZXFgAEDAEOzsho1ajBjxgwARo0aRZcuXXj33Xfp0aMHX331Fbt27WLhwoWAIbB59NFH2bNnD6tWrUKn0xXm40RFRREYGOjqSxJC2Cg+MYmFm46XeqArCizcdJxWtSvRPTamsMaMJWoLx3VtVM3sds6Qlatj+LXmlGoYRwLUTCFl5ero++lOIkMDeOvhZlZHcdrViyIqLLBY3oqtHLlPtoxy6PQKE1cm2nxs41TZ6YtpzF+8hPz8fHr16sWCBQtK5Wl2j43h7pxzXB34EhUO7ANA6dgR7YIFRDeNpdLMDQ4nQQvv5vLg5oknnuDixYtMnjyZ5ORkWrZsSXx8fOEP46lTp9AWKY506623smLFCiZOnMiECRNo2LAhP/74I7GxsQCcPXuWn376CYCWLVsWe6/ff/+dO+64w9WXJISwgbOr2KodKVmWcMKlS7mNfth3VtV2xpEAWwKB9Gvdvedbmaby02p4vVesybwfd7BllGPn8VSbgrCqFYP55cA5pv30N8mXDfvldhpO/ZZJDJ0yulRgw5UrMHkyfnPmUMFYYXjmTDSDB4NWix9YTYKe1KOxU3ucCfdzS0LxyJEjzU5D/fHHH6Vee+yxx3jsscdMbl+3bl0UxT3dZoUQjrN12sYatcHBydRstadoNwXD8nE1oyZp175vz3TH1J/+thr83dc8hqFn6rFgk/XpHmeKDA2waZTDluCuclggR/47ybChQwiq05yI9o8AEBRzE3pu4tkv9jLvac31wO+nn2DkSEMhPoAnn4TZs6FEzqalPmI9W8QwffUhjzQBFc5TpldLCSG8n7Or2KoNDmpVUlenpGKwP5dzCgq/tqVmjVHPFjEs3XbS4javrfqbbrHRtKlTiUqhAaRZqMpcUnJmLtuPpaDVaiyOJoy/rwktakZeW1qt/viOSM/OZ+3BZNUPfluCu7sCjjKw1yPorl4m59xhKrbsjjYoDCgx6hdegN/oUfDDD4Yd69UzdPPu3t3ssU33EctjxArPNQEVziPBjRDCpZxdxVZNF2iAxZuPEXltibm57SqHBbJlXFf2nU5n8eZjrD980a7cEzWBVHJmLqO+2suWo5cstpswZ8SKPaRfvb5fWJAfgzvX57m7GhYLcu5rXp1usTHsPJ7KbweT+XTrCZvfyxa2TisaPz9Lo3m6q5lU2vs5szbHA4Zml5V7jCkMbArfW6+j2/pv4I0vICsL/P3hpZdg0iQItf6ZFM3x0ukVOs/c4NEmoMJ5pBOYEMKlrDV4tLUtgNqeShcu55F+LbAxt11KVh5d3/2DDYfPs/7wRVXvX5Tx3KMqqCs1seqvJLsCG6BYYAOGpOP31x+h2ZR45qz7l5X7zhb2x/LTamhXL4pfDpgufupMtvb+Mn5+5j6Tq8d2kbF8FAc2x6P18yOiU2+in36nVPuE2OSj/LjsRaauX4hfVhZ07Ah79sCMGaoCm5K8pQmocA4ZuRFCuFTROjf2VrGF0gX75j7VitdWHSI50/QDyRjURIQGEOzvZ3a7pIwcVcuSzZnyQBMiQjy3SjM7X1+syJ4xP6RicIDZa3YFW3JpzOW8VNRd5uzKNynIz+Pmm29m7IwPmb6jeC5TaN5VXty8nGd2/1xYYfjixGk0mPCCQ527vakJqHCcBDdCCJezlMCpJlHTXMG+J2+pxfvrLfdTSs/OZ9mAVgxfsZsruTqHr8UoMiSAtx5pVthGITI0wO5RGWcy1qsJDfRzyvHCg/3JLJKTZI6tidKmcl7a1YvivaqnOXv2LDNmzCAwKJjFh68v2777yHamrl1AjcuGUbafGt/OggdH8tOERw1FkxzgbU1AhWMkuBFCuIW5h5m1ERtLBfssBTZFrfjzpFMDG4C5fVrT6cYqTj1mSaGBfmTn2Xbexvtk637mZOYUEBUWQFqW6dwlR+rCFOTnsXLRLB599FHaNmgLwNixY4ttM+WBJrz28a9MWbeAbke2A9crDG+q34Z5T7V2Sg6Ms5qACu8gwY0Qwm3UFOkrSk01XzV+/8f2fBpzjA+5DvWvX8fO46lOG7V5sGV1alYKoWP9KugVhb5LdjrluI5oVSvSYk6SPd3G9+3bR79+/Thw4AA//fQT+/fvJyAgoPhGOh11li9m7SczCMu7Sr7Wj4XtHubDW58gNzCYIUWqWzvKWdOnwjtIcCOE8FpqG0JaogFy8vXOOSEMD70nb6nFqr/OFY4+OSsPIyYimHcfb1n4AN169JJTjusoS4HNkNttCzAKCgqYNWsWU6ZMIT8/nxtuuIE333yzdGCzezcZ/QbS+OBfAOyq0ZgJ3Ubw7w11Dd9XDN3bjdWtncHR6VPhPSS4EUJ4LWcEDc4s+RkZangAl0zgffKW2uZ2sUnJkYFLV3Kdclx7aQCNlaajP+1P4uXujVWNaBw9epR+/fqRkGBoYNmrVy8WLlxI1apVr290+TJMnozywQdE6A0JwzPuGMBXLe5B0ZROGH7lfweoGBxAh/qVnTKqYu/0qfAuEtwIIbxWFZVLrF0lLFBL99gYOje8gVMp2by/7t9SwVJSRg6z1/1LZEgAGVfN19QxMlUksFJoADNM9JDyZPKq8TytFYRPysjhow1HGBV3k8XtEhMTad++PdnZ2YSHh/PBBx/Qr18/NJoiQcPKlYYKw2fOoAFWNu7C613/j4sVKpk9bvrVfPos3uHUKsK2Tp8K7yPBjRDCK8UnJjH1p7899v59O9Rmas9Y/LQaiwXejDJy1AU2c59qTURIAAn/XQIMD1Fzow7t6kURHR7s1iXdRtERwdwbG80SFUUAZ687ws3RFYsFFiWX7rdt1JiOHTui1+v59NNPqVOnzvUDnD4Nzz8PP/5o+LpePba9NJ1RpyJVn69UERZFSXAjhPA65lZIuVPrOtenItTk/hhHOCoE+XMlt/TS6cjQAAbcWo9usYYKt50aWl9p5afV0LtdbWav+9f2C7DToE51iWsSTbt6Uew8nqoquIHi1XuNS/eP7dxAcL1WaANDiIkI5qXpc3mofcPrzZJ1OvjoI5g4Ea5cQfH35+z/jWRfvxGcL9DCqUOqz9v4s/LqD4l0bVSNQH+pUVueSXAjhPAqllZIlRQZGsCbDzbj1R8P2NSrSY3o8OtTQrbk/hQNbIIDtGiAq/l60rPzmb3uXz5LOMGDLatz97UAwlouR90qtlfbtYdGA893bcjzRdo5qGmVYGSs3ptxNY8hi/4g5bd5ZB/eTIWW3ancbSTJGTm8tPIoYRXDDSMru3fD0KGG/wXSWrZl5O1D2RoSAyv/MZwTtudMpWTl0WHGOt58qPQ0nyg/JLQVQngVW1ZIpWfnc+TCZfTWEkPskJZ1PZnX3tyXnHw9V0us1ErNymPJ1hP0XrSdzjM3EJ+YZPEY7so7UhSYs/5IsXMq2upCjeSMq4x+Zynnlowk+/Bm0Gjxq1AZRVEKg5RZ3+1CP2oUtGtnCGwiI0mc/DZt7plsCGyKnpOd15Kalc/w5Xus3lvhuyS4EUJ4FVtXSM1ed4SMq9Yr6Npq+upD6K4tE2pTp5KjBXBNSrqWJ2LxIezmubnkEufUPTaGF6wkCwPo867y/tSx/PPZBHRXUvGPqkl033eJ7NS7MGk47sh2lr03EO0HH4BeD717o/v7IIODW6M3sRLKyN5bP+3ng4WfoShfJLgRQngVbylvX7RJ4u6TaRaXQzvK0kP4UpZ7l4Mbz6LoOY3seiPR4eZHkPIv/MeFz55n089fAVCxbS9inplDUExDAGIyL7Lg+9dZ9P3rVL98iayadeDXX2HFCnZeDbSezwS8el8jnr2jPhWC1LWVkEaX5ZsEN0IIj9LpFRKOpRR2tW5Tp5LFLuLuZBxFcmWzRHMPYeN9OXL+isveW+05+Wk1TO3Z1FD3psS2GkAbWokgfQ4BEVWp9uSbRN01GG1AEH56HQP/XMnaT56l25Ht5Gv9mNvhMRLjt8A99wDq723V8GBe7t6Ydx5rYdPPhjS6LJ8koVgI4THmGmL2bBHDwk32d+p2FuMo0olLWS5/r6IPYVP3xROKnlPJ6r0FmRfwD69qqN779F2cufMrXtuSjjYoDIDY5KPMiP+QZuePAdcrDF+q25BhjWsUHtfWhpXG85jwQyKpWXlW9vKekUDhXjJyI4TwCONy75IP8OSMHBZuOs6Q2+sRE2H6wRQTEawqD8QR0eFBtKsXhU6v8OXOUy59L7j+EDZ3XzyhZGDQPTaGP168nXsLtnN+0VCG1r7ElnFd6R4bQ+X6TdEGhRGWm83kdQtZ+fkYmp0/RkZQGK90G8ljfWby7w116dWiRrEVYsYVWeZGYzQYPu+iDSu7x8awffxdRIUFmNnL9H6i/JCRGyGE21lriKnBUNZ/49g72X0yjeTMHFKv5BIVFkh0REjhA+uzhOOkZjl3CbhR73a18dNqSDiWQnKm6/JeinabtmUZvK3vYcsxzXXAPnLkCP379y9sn/Df3i34afsDkHoll3v+TWDqugVUv2zoifVjE0OF4Uth1ysM16wUUuyY9jasDPTX8uZDzRi+fA/YsJ8oH2TkRgjhdtaWextzPnafTKNjg8o81KoGg26rz0Ota9KxgaGar59Ww+u9Yl12jnWrGKZXXJmzUfIhrHYZ/Ig7GxBsQ5E6WwOboucEoCgKH3/8MS1btiQhIYHw8HA+++wzFi5caNj49GnunTSchT+8QfXLlzgZGU3fx19j9ANjiwU2AFFhgaXe0zjVFF1ipC46IthixWF79xO+T0ZuhBBupzZgsLZdt9gYHmiexM9/JTvjtIqpEmZYHeTKnI3wEH9mPtK88CGs9r5k5xaQU+C8TudFleyAffbsWQYOHMhvv/0GQNeuXfn000+pXbs2FBQUVhiunpVFvtaPBe0f4cOOT5AbYHp1VXREiMnX7W1YKY0uhSkS3Agh3M7WJFJTrCXdRoT4czVPR57OvkmeP0+k0qlhlcKckOSMHKdPF2VcLWDvqbTCQELtffluzxknnwn061iHe2NjSgUGf/31F7/99hvBwcHMnDmTkSNHGton7N4NQ4bAnmvTQp060b/tALYFR5t9D2s5MPY0rCzZw0oCGwEyLSWE8AB7kkiLspZ0+0LcTXzcp43dgQ3A0m0n0OkV/LQaXr23kctq6S3YdJw1fyWh0yvo9QqRIZaTZCuHBXI5R+f087g3NqZwyk+vvz4qdO+99zJr1iz27t3L888/jzYrC0aPNlQY3rMHIiNh4UI0mzbR7//us/iZOjsHJj4xic4zN9B70XZGfbVPddVn4fskuBFCuF3Rsv6m6qaA+QehtaRbDfDVn6e44GAn7fSr+ew8nsqMNQd57ut9Dh3Lmpf/9xed3tpAn092kH7VdIK08U70alnd6e8fGRpQGEiuWbOG2NhYTp8+Xfj9l156iUaNGhm6djduDHPmGCoMP/UUHD4MgweDVluYA1NylVuMC3JgLK22k9YLQqalhBAeUbJuilHJnI+Stv+XoioZec+pNIfPcfHmY6w/fNHh41hzJbfAZCfxooz35Z9k5xf1S8/OZ+WfR4n/ZBaLFi0C4PXXX2fBggWGDU6dgueeg59+Mnxdvz7Mm1dYiK8od+TAqFltV7RLuSh/NIrigo5zXi4zM5OIiAgyMjIIDw/39OkIUa7ZkjMRn5jEK/87YHZ0w9ns6UrtbJEhAczt05oO9Q25KJ3e2kCyHaNSwf5as0nIuacTSfvlfXLTktFoNIwePZo33niDkIAA+PBDmDQJsrLA3x9efhkmToQQ04nB7pBwLIXei7Zb3e7LwR1szuER3k3t81tGboQQHqU2idQ4DeGuYMMbAhswTI9pNZoiNXfsm24zFdgoBXmkb15O5s4fAIVq1Wvy1RfLuOOOO2DXLhg6tDBhmE6dYMECaNrU/otxEmetthO+S3JuhBBez1XF7SzxhsDGyPiQXnfQuUveM//8kcyd3wMKYc3imP31Wu5o3RpGjYL27YslDLNpk1cENuCc1XbCt8nIjRDC66ktbuerdp1IZdeJNL7bfdr6xjao2LYXV4/vIfyWhwi9sR0t/9oBT74KZ88aNujTB959F6pVc+r7OipNRad0ab1QvklwI4TweuV9emHZduf0tspPPcvl3T9T6a7BaLR+aAOCqNZ7BjUuX2Ta96/T+OgOw4YNGhgShu++2ynv60w6vcL01Yesbjeph7ReKM8kuBFC2MzdhdNkesExiqJwZe8a0v5YgpKfi39EVcLbPYyfXsczu39mzOblhOXnXKsw/Cg3ffAm97St75T3LvqzUqVCEChwKSvX7p8btaN4lUy0eRDlhwQ3QgibmKoMHGNl+baj0rLy0GpA702JMGVEQeYlUn6ZQ86JvQCEN2hFaKPbaJZ0hBm/fkTs+WMA/FmjCRO6jeDoDXWIXnucu1rXczhgtVZF2p6fG0kmFmpIcCOEUM3ciiVj4TRXNCuMT0xixAr3rZLyFYqikHXwD1LXzkfJzSIwKJh3Zr1Nm1vv45+hL9Bvz2r8FD0ZQWG8eedAvml+N4rGsMYkKSOHncdTHVpGrWZ1mz0/N5JMLNSQ1VJCCFWsFU4DQ+E0nROHVzyxSqos0lz7N/T2ekSHGxpWpm9eTsqqd1Fys7gptiX79+7huZo1aXVfZwbs/hk/Rc8PTe7grsHz+bpFt8LAxsiRkQ+1n5s9PzeOtu4Q5YOM3AghVLGW62CsDOzoX/y2vKcwKFrV+eXujdl5PJWdbYIYv38V48a9zKtPP43/Cy/ATz8RApyIjGHiPc+ypV4rs8d0ZOTDls/N1p8bY+uO4cv3mKxFpACTejSWZOJyToIbIYQqrs51yCvQsyzhBCdTs6kTFUrfjnUlb8KKiGB/Pu7Thg4NKpOddYVVq1Zx//3307FBZTo2iOPp249R+YsvoHlzQ4XhgAD0Y8fyTFAnTmabHinRYAiWHBn5sOdzs2Ufc607jKavPoRWq3FZDpjwfhLcCCFUcWWuw4w1B1m0+XixhOE31hziPnk4WZSRU4BWq2Hrls0888wznDp1iu3bt9O2bVvYtYvKQ4bAXkMisdK5M/snvMXJmLo8dCmL2euOlBr5sNa0VC17fgZs3ad7bAx6PTy7Yk+p77kyB0yUDRLcCCFUMeY6JGfkmMylsPcv/hlrDrJg0/FSr+sVWHVAOjtbohTk8fZrr7Jy2UIURaFOnTrkpaUZKgx/9JGhc3elShwY/SpD/ZpzbmM6sA8wdAIHQ9NMI2tNS9Uy/qyomZqy9+fGUO/moMnvSfNMIcGNEEIVS7kO9v7Fn1egZ9Hm0oGNsC7v/DEurXqXHy8ZCvwNGjiQ9+68k4rPPAPnzgFwseej7B89mcG/nkIhr9j+GdeCmhfibqJulVCn1ivy02ro2SLGZNBalCMjRZ7IARNlhwQ3QgjVzOU62PoXv7Gw2zd/npLaNXbI2PE96Zs+A72OqlWrsnjGDB748Ufo2xconjCs/e2U2RVuGuCrP0+xZVxXp45uxCcmsdBKYAOOjRRJvRthiQQ3QpRj9lQa7h4bw91Nou2uUGytsJuwTuMfAHodnbreyw9dOnDD889DVhZ5Wn/mt3+EuR0fJzfAsCTcUvDoitENNcvAI0MDmNu7NR0aVLY7qJJ6N8ISCW6EKKccqTTsp9WYfBhaC5bUFHYTpSmKHt2VNPwrGu55xdY9aBGgYf25BLRTpgCwp3ZTXr57BEer1Lb5+M4c3VCzDDw9Ox+tVuPQaJGrcsCEb5DgRohyyBWVhq0FS1KQzz7G9gkFaeeIGfAh4cCLm5fRf/cqtChQqRJHXprMIxkNShXiU8uZoxvumi5yRQ6Y8B1SoViIcsYVlYaNwVLJv9iNwVJ8YpIU5LORoihc+ft3zi0ZQc6Jveiy0mj+54+sWzyMAbt/RovCyXsfgsOHWdmmu12BjSuq+bpzusiYAxYdUfxY0RHBsgy8nJORGyHKGWevMrEWLBmX5L7cvZG9p1zu6LIzSP11Ltn/bgOgQtV6zAmuwMCtKwA4XimGifeMYFu9lgzZdYkAPz+738vZoxvuni5yNAdM+CYJboQoZ5wxbVA0t+bS5VxVwVLqlVxbT7Vcyj66g5T4D9FnpYPWj651WvD96b+JKMgtnTCswIJNx+nRrJrN7xMZGsBbDzdz+uiGJ6aLzOWA2cueRHvhXSS4EaKccXTawN7VTqfTsk32ArJFj2bR5OsUfjt43oGjeLcr+39Dn5VOhYhqLNH689hxQwXenTWbMKHbSJMJw2sOnKdCkB9XcnWq32du79Z0aljFaeddlLNKBniCI4n2wntIcCNEOePItIEjq52Wbjtpx17F7TmVztuPNPfq4CYsyI8bbwhj/5lM1fsoioJGYxgZqH3nIBpeSeXr5COEAunBFXjzjoF82zzObF6NAjSJCWfniTRV7xcTEUwHFxe2K4vTRa5ItBeeIcGNEOWMvdMGjqx20mos11tRKykjB61GQ2RoQLG2Ad7COHqiNrBRCvJI37QM3dUMqtz3At3+TWDauvlEX0kF4Pumd/LGnYNICYu0eqzcAr3q83RX12xnTxe5ktrcMWnnUDbIaikhyiF7VpnYs9rJ+AhwZhXiJVv/480HmznvgE5ky7RQbvJRkpaOJvPPH8hK3MDYL8ax4Mc3ib6SinLjjRz87H/4LV/GfXc1V3W8/y5lUSlU3d+r01cfIj5R+nYVZUuivfB+MnIjRDll67SBPXVJoiOCuS82mk+2nnDwbK9bf/gizWpEOO147qbodWRs/5aMrV+CXkeFwBCW6vJ55OxB8rT+/DdwBI0+mEGTkBCaAPfGxrB8u+kWCkVdzilQfQ5JGTkMW76HF+JuYmTXG2UkAmnn4GskuBGiHLNl2kBtIvKkHo2pUjGoMFj6aMMRR07RpIWb/3P6Md0hP+UMl1a/R17SvwDcHRTGitwsqgA7ajZlQreR3NqjE1ODgjEu7g7013LHzVX4/Z9LTj+f2ev+5cudJ5nas2m5zyWRdg6+RYIbIXycs5a1qk1EfqZTvcLj6/QKK3Y4nkhcUnae+vwSb6HodVz4bhoF6UmE+PmzQFfA07lZZARXYOydA/mumSFh+Nj2U6w9eIGpPQ2rc+ITk9h/JsNl55WcmSvJskg7B18jwY0QPsyZy1rtSUT+aMNRzl/Os/8CfIhGo+XuRp3J+vMHlusKqAX8r+mdvGkiYTg50zBtNPT2eizcdNwtLSvKe7KstHPwLZJQLISPUtMSwVbmEpErBvtz+01VOJt2lbxrq3biE5OYve5f+y+gjDO2T8g6tIkaGRdY/L/XWLP9W/7QFVBQKYY+T7zOi/e/aHEl1MLN7glsJFnWQNo5+A6Noijlro9dZmYmERERZGRkEB4e7unTEcLpdHqFzjM3mF39YRxi3zKuq11/iRqnuhZvPsaGfy5S9LeIVgODOtdj1V9J5baXVNH2CcH+gRwAbizII0/rz7wOj/Jxx8fJ9Q/09GmWMufJlvRqWcPTp+FxUqHYe6l9fsu0lBA+yBn9o4y/4JMzDa0TosICiY4IKfxF/8c/51l/+GKp/fQKLNp83FmXUuZkH7nWPiE7HX9gYkEedbmeMHysSi0Pn6F5ZSlZ1pUBSFmqzyNMk+BGCB/k6LJWSy0WYiKCefXexuU6gDFFn5tN6vpFZB1YC0BTYBlQL7gC44skDLuL8TE/5PZ6fL3rjKqih2lZZSM/SlokCGsk50YIH+TIslZzuTpGSRk5jPxqr1ML85V1+rwckj59jqwDa9EALwG7gP+a3sld/zefb5vf49bABq7nibzcvTHB/uree/rqg+i8/IN1RS6Z8D0yciOEDyk6lRQVFkBqlum/1s0ta3WkxUJ5VutqJu2A3cBnQK1KMQy8ZwTb6rZ0y/sbR2lGx91E3SqhxaZpEo6lkJypriO7talKT5MWCUItCW6E8BFqu3VbWtZqT4uF8io3+SgBgSEMObqDMVu+QJOfS7bGj+UdH2OwmxOGI0MDmPFwM5NTMrZW1PXmCrzOyCUT5YMEN0L4AFu6dUdbyE3w5gebt1D0OjISviFz65e09A9gfH4ufng2YTjIX8vdTaILvy6abHvpsrpRG6OSU5XetHJIWiQItSS4EaKMszaVpAGiwgKZ2KMx0REhtKlTid0n01i572yph1VZWi3jCfkpZ0j7+R2unj8KQIP8XM4FVeCDru5PGC4qOTO3cLTC1AieLV3ZiyYVe1virrRIEGpJcCNEGadmqD4lK4/oiBAyrubRZdbvZh9W7epFER0epDpHw1sE+msLiwe6gqLoubz7ZzJ//xSdvoBIYC4Q2PROenX9P1JDPd/I88LlHLMjeLbkCE9ffZBusdGsPZhs8ljGxF1PFLWTFglCLQluhCjj1A7BrzuYzJKtJyw+rAByXBgkuEqgn+uCG112Bpe/n07G2cMA3A1MiajGR/c+T0KdFi55TzBMNeXacE1VwoJ46bv9DieDJ2XksP2/FK9M3JUWCUItWQouRBmndgj+h31nzT6sAF75/gDDl++xWg8lJiKYobfXw5seH1dyC1xyXH9dAf+3/zdqn/2HEGCORst9HZ9k4P/Nc2lgAxAS6Mfg2+qh5jkdGRoAGpyWDJ5wLEV14q67SYsEoYaM3AhRxqkZqo8KCyTFQoE2BawGNZEhAcx9qjUdGlTGT6uhVe1KTPjhgNnl5mWZLjuDVqlneWvtPJpcOM7jQGJ0Q+b3GOO2hOH07Hy6NqrGmLtvptX038jJNz+KowEu2Jg4bJm68R9PJe52j43h7ibRXpPoLLyPjNwIUcYZh+qBUqMpxq97tazu8PukX81Hq9UUPkC6x8awfXwcUWHe1yPJEcrBjWTOG0CrL16myYXjpAVXZMm9oxjb7z23r4S6cDmHfafTLQY2AGnZ+aRecU5wExMRTMf6VVRt68nEXWOLhF4ta9DxWsAthJFbgpu5c+dSt25dgoODad++PTt37rS4/bfffkujRo0IDg6mWbNmrFmzptj3FUVh8uTJxMTEEBISQlxcHEeOHHHlJQjh1awN1UeEOCcAKfmXeqC/ljcfikVD6cCqrNHnZBHy5QRO/TyLzII8fgK+bnoHdw2ez7fN7waN+6+wasVgkjOuqto2MiSAmIhghz+HKQ80oUODyhaPpcEQBEnirvBWLg9uvv76a8aMGcOUKVPYs2cPLVq0oFu3bly4cMHk9tu2baN3794MGjSIvXv38uCDD/Lggw+SmJhYuM3bb7/NBx98wPz589mxYwdhYWF069aNnBypbSDKr+6xMWwZ15UvB3dgzpMt+XJwB7aM6wrA++v+dcp7mPpL3VxgVZZUPLSJvLl9OXzqLzTA4KAwGj42lXH3v+TRlVBpWXmkquz3lH413+wInhpaDXz8lCFnRc1ooCTuCm+mURTFpZXW27dvzy233MJHH30EgF6vp1atWjz33HO88sorpbZ/4oknyMrKYtWqVYWvdejQgZYtWzJ//nwURaF69eq8+OKLvPTSSwBkZGRQrVo1li5dypNPPmn1nNS2TBeirNPpFTrP3KAq0TQyNICM7HyLS2zfebQFl7JyTeY4rPnrHK/+kEja1bKTg6PNzab6d9PYduZvFKAu8EDsXfzabYRbKwybExMRzNh7bmbMt/utbjv7iZY81KqG2do0PVvEsHDTcbPZNB8/1Yr7mhefvvS2OjdCqH1+uzShOC8vj927dzN+/PjC17RaLXFxcSQkJJjcJyEhgTFjxhR7rVu3bvz4448AHD9+nOTkZOLi4gq/HxERQfv27UlISDAZ3OTm5pKbe30+OjMz05HLEqLMUNtO4YW4htwcXZFhy/eY/L4CXM3X0eeTHYWvFX3IxScm8eyKvc46bbdoee4fhq6ezSOpZ1CAXmGVSHtkMj/FNPT0qRVKysghLVvdyE10eDA6vUJESCAvd29E6pVcosICiY4IKRaILtp8vFjdG60GBt9Wr1RgA5K4K8oulwY3ly5dQqfTUa1atWKvV6tWjcOHD5vcJzk52eT2ycnJhd83vmZum5JmzJjBtGnT7LoGIcoytatZ6lYJs7pNydVUxvo4c59qxYQfE83s5X0q5Fzh5U3LeHrvGrQovBMQzLrm97DnrsEeyauxJioskMjQAIur2WIigknLyis1SmcMQP20GuITk0yO3CgKLNx0nFa1K5UajfGm1gtC2KJcLAUfP358sdGgzMxMatVyf/8XIdxN7WqWKhWCeEnF1EdRxofkqz8mWl1GXlTJ4mtuoyh03PUTR/5YQn29Di3wv9iuLL5zkFdUGDZn/eELVu9vzxYxjFhhvprw3KdaMX31IZuK8smUlCjLXBrcVKlSBT8/P86fP1/s9fPnzxMdHW1yn+joaIvbG//3/PnzxMTEFNumZcuWJo8ZFBREUFCQvZchRJmltlw9iv0F4NJsCGxAfWAToNWQb0vfAAtqpCfR6rvX+CTlNDnAcL8Amj46he11Wzrl+GpN6tGYyNBA9p1OQ69X+N+es1YrQq85kGTx+5VCA1i575zFwGXiykSL9YhKdtM218bBma0XZFRIuJJLV0sFBgbSpk0b1q9fX/iaXq9n/fr1dOzY0eQ+HTt2LLY9wNq1awu3r1evHtHR0cW2yczMZMeOHWaPKUR5pXbVy6Us7+sl5YzAxl9XwOMbPyNg4RDmXgtsbo6MJmvQx24NbIxLp2Mignnnt39Ytv0UX+w8rarVhbXbkJadb7EXmAKqCy1euJxjsRGr8bVpPx9E58DnE5+YROeZG+i9aDujvtpH70Xb6TxzA/GJlgM5IdRy+VLwMWPGsGjRIj777DMOHTrE8OHDycrKYsCAAQD069evWMLxqFGjiI+P59133+Xw4cNMnTqVXbt2MXLkSAA0Gg2jR4/m9ddf56effuLAgQP069eP6tWr8+CDD7r6coQoc9SUq/fFLsotzxzi/xb8Hwu2f8tGRSFYo+GmW5/k6pBF6Cu5d1pFAe5vHsOzK/Y6rUWCK1StGKyqEasjrReMo0Il38M4KiQBjnAGl+fcPPHEE1y8eJHJkyeTnJxMy5YtiY+PL0wIPnXqFFrt9Rjr1ltvZcWKFUycOJEJEybQsGFDfvzxR2JjYwu3efnll8nKymLIkCGkp6fTuXNn4uPjCQ72vV/QQjiDtVUv1qavypKKuVmM3fg51faupvu112IiY9A8OpXcyjU8Vmxw0ebjHnpng6iwQNKy8qx201711zlVxzMmq9syvWRtVMgZDTllukuAG+rceCOpcyO8kad/KRv/ogYPJfziYLKxonDfP1uZum4BVbPSUIBbw6tysukdBHTug0br57wT9RLGoERRFM5n5pq9d5VCA3jjwWaMWFH68zX+hBlH8RKOpdB70Xar7/3l4A5kXM2zKenYlmN3bFDZ6nYlSRK071P7/JbeUkJ4AW/IQTA3fRUTEcwDzU0vAHC26IhgXoi7yeb9amac58NvJhOy8i0CstL4r1J1nnryTc4N+4TA2/v5bGADhpypqT2bWgwK07Lz0WpR1U3bOIpnrfVCWlaezdNLaksT2NOQU6a7RFHlYim4EN7IOFKz9mAyS7aeKPV9Z65MUcvc9BXAnyc2kJzpunyRe2OjebpDHW6pG8WXO09aTJI18tcVMHDXStpsWs5QfT4ngY031OVyv/fI9Q8s8/2uLIkuMiKh0ysWa+EYp3u2jOtqtSifMQl9+PI9pUbSjFtN6tGY6attn15Sm9tlaw6YO6a7RNkiwY0QHmBq+LwkT/1SNnZbLmlqzyYmp62cVbfml8RkfklMJiYimLZ1o1j1l+W/tFudPczk+A9YdulUYW5NcMXKnLlnOMFe0DrBVfp1rMO9sTHFgpKdx1Mt1sIpudTb2pSPcRSv5M+oMaCKCAlUnXRc9L3UliawtSGnLUnQ9kx3ibJHghsh3MxcDRFTHP2l7Mw8HksPvCdvqc1sJzXnTM7IsRjYVMzN4uWNn9Fo7xr6AIeuvV6hRTcq3TkIbVCoU87DW90bG1PqZ8EV0z2mRvHa1KnE7pNp/KJyiqfk+6kZFbKnIacrp7tE2STBjRBuZGn43BJ7cxCcnVxpbtrq18QktBrrNVnUMHuIIgnDW7PSuBUoAPxDI4m6bxQhDW5x/M29XIyZUQ1XTfcUHcWLT0yiy6zfbVrKbqmLvLlRIXt+Nl11/aLskuBGCDdS28iyJFt/KbuywmzJaav4xCRGrNjr0hVWNdOTmb52Hnf+txuA2pEx+OdcIbBOC6K6PYtfiPeuenRmu4lX721UOKpRdFSuSlgQ0eHBnM907nSPkS2jjWrez9kNOV013SXKLgluhHAjW0dg7Pml7M7kSntHotTy1xUwaNePPL95Bet1eeRo/Zjf8XHmdXiMKjlZaMMi0Xhhs8uinHlvJv98EH9/wyLXkiMfkaEBhZ+vs6Z7wPbPWO37mcvtsoerprtE2SXBjRBuZMsIjL2/lNUmVy7depxnOtVz6Be+vSNRarQ6e5g3f/2IsIsneAD4HWh8W1+yOzwKgF8F300aNic1K49h15K6S8q4llAcUWLVlCPTPWD7Z+zo+9nLFdNdouyS4EYIN7KlErC9v5TVjg5NX32IxVuOq3oPc4nJrkjQDM+5wthNn/PU3jUsB54DLgOagCAuhEZQwenv6BuMozbB/lq++L/2XLqS65RikGo/Y1OruNzN2dNdouyS4EYIN7I0fG40qFNd4ppE2/1L2ZbRITU5OJYSk52aoKko9Di8hSnrF0JWGo8CP177VlD1RlS+fwwBlao77/18kAIkZ+ai1Wjo1bKGU46p9jM2tYqrKHdV4HbmdJcouyS4EcLNzA2fO6tMvC2jQ9ZycKwlJs99qrVTelIVTRj+FXhKoyVV0YPWn8jb+hDe7mGfrDLsKs4cUXNGsq60RRDuJu0XhPCA7rExbBnXlS8Hd2DOky35cnAHtozr6pRf9MbRIUBVhd6iOTi6Imu5rSUmA0xffZBJPRqrfq+S/HUFDN3xHWs/GcGd/+0m18+fn2LvIlXRE3BDXWL6v0dEh8cksLGRM0fULP08qckLk7YIwhOkcaY0zhQ+Sk0V5JKK/jW99egl+izeYXUfcw0UrWl99hBv/DqXxhdPcAE4VrsZr94zgv8q1yT76E5C6rZC4x+g+nji+ijKlnFdnT7lY8/oi06v0HnmBrM/F648X+Gb1D6/ZVpKCB9lTK5cuvU401cfsr4D1/+aHnJ7Pb7+84yqfS5czqFXyxp0bVSNDjPWk5qVZ3F7Y8Jwn72/kIvCcL9APkHhhm4jCYgy5ImE3thO1XuL61y95NmeZF1piyA8RYIbIXyYn1bDM53qsXjLcdU5OAALNh1X/R7GKZDdJ9MsBzZFEoarZqWxC3gwKJSzudkAXD32Z2FwI6wrWRHaHUuebU3WlbYIwlMkuBHCxxVdoeVMxikFvV5h5b6zHDl/xey2RROG84HngyvyUW4WSm42fhWiqNz9eUIatHXq+fk6Y0LBwE51uduB1XW2sHXFk7RFEJ4iwY0Q5UD32BiG3F6PRZuPO6X/ExhGea7m6+jzifm8HH9dAf/354+M2volIQW57Nf6cX9IBGeyUgEIbXQbUfc8i19IReecVDliXOn2S2Iyr/ZwffVdczk3k3o0plJYkMmAR9oiCE+R4EaIciA+MYmFm447vU1C0Uq4JRVNGAZIqN2M3lG1OLNvDdrgCkTdPZywJl2cfEbli7tyVsyVBEjKyOHZFXuLvVY0yVjaIghPkeBGCB/n6v5PJYXnXOHljZ/x1L54tCikBFfkjbv+j++bdkXRF1DRz4/w9o/gX7GKm87IO0WFBTDxviZMX32QNAtBohquzFmx9eenZGFIaYsgPEGCGyF8nCv7PxWjKNx/eDOT1y+ialYaCjCiRhM+12iIatwFjUaDxi+AqLihrj+XMuDWBlU4nZbtcGADrs1ZsfXnx1RhSGmLINxNghshfJw7VqLUTE/m9d/mccfx3QDsjIzhkQqVOHPmIACBB9ZSseW9Lj+PsmTVX44Xr3NHzoo9Pz+mpsukLYJwJwluhPBxrvyrvmTCcK6fP8Ma3sqyk/vQpScVtk+o0Pwel51DeefqnBVHfn5kibfwFAluhPBxtvSaskXJhOHfajalf0hFkg9vAqB58+Z0e3Y63xyX1gmuEBUWwJsPNXN5zoojPz+yxFt4ivSWEsJL6PQKCcdSWLnvLAnHUsgr0Bf7WmfnGm5be01ZE55zhdd/nct3y1+m8cUTpIaEM6bHCzwUFknyke2g0fL4oJHs3LmTTu3bOOEdRUkVgvzZPj7OLcm49vz8aDCsmpIl3sJTZORGCC9gqoZIyQq0jnRRNrdixSbXEoanrF/IDVnpAHzTLI4ZdwwgLTSCyOqNyE89y8CXpzP/pacB+cvdVQL8NG5NxrXl50eWeAtvII0zpXGm8DBzNURKMj4mjEts7WGsMLv16CU++v2o6v1KJgwfi6rJsLY92V2QT/gtvQq3UxSFyhUC2T4+jkB/bWHjRGdPiQlDw1J3J+iWrFCclpXH9NW2NdMUwhHSOFOIMsCWGiKmltjayrhipV29KP6354zVoMNUwvAH7R/jLb2O1LXzQVEIjG5AcK1YADQaDalZ+XSYsZ43H4qle2yMS1o/CM8k65pa8dQtVpZ4C+8jOTdCeJA9NUSMS2wdoSaPovXZQ6xaOopXNi4lpCCXbbWbc9tDrzLxvz9J3f4NKHpCG99GQJU6pfZNzcpj+PI9xCcm0T02htFxNzl0vr7o0dY1HdrfW6b8jAFPr5Y16NigsgQ2wivIyI0QHmTvX9/O+KvdXB5FeM4Vxm1cSp998QCkhoQz/c6BfHb1Mmk/vAm6fNXtE4yjTHWrhDp8vr6mU8MqbD12ya4pO60G2tSp5JLzEsIXSHAjhAfZ+9e3s/5qL1o5duuRC5z8+FMmb1hUKmH4n/gPuXpkOwDB9dtQufvz+Fe0nO9RdJTJW0YZvEnVikE8eUttZq/71+Z99QrsPpkmRfGEMEOCGyFcpGTypalcBFtriLiiIq2fVkNHTQYdZr+A5rdfATgaVZNXu41gR+1mAITe2J6cE/uo1PX/qNCiGxqN+qmHC5dzuL95daLCAkjNcrzVQFmnASJDA3jxm30kZ+bafRwpkCeEeRLcCOECppZ2m1pFYqlrckkuWWKbnw/vvgvTpqHJyUEfEMj77R9jbmwc2dnpBF3bLKxZHMH1WlsdrTGlasVg/LQaHmpZg0+2nnDOeZdRxs/YUj+p9nUrseNEmtVjyWiYEOZJQrEQTmZc2l0yUdjYLTk+sXhPIWPuS3RE8YdVyfglOiLYoWXgpWzbBq1bw/jxkJMDXbuiTTxA2qNdOfX5aC5+/zq6nCuAYRWUrYFNyUJucU2inXPeHhIWZHul5ciQgGJfR0cEExkaYGZrA2uBjRTIE8I6GbkRwoksLe22tJTbVNfkNnUqsftkmvOX2KalGQKaBQsMX1epAu+9R/r99zNq9Gg+//xzAG5s1JQejcP58bje5rcwNcrUpk6lUoUJy5KsXJ3N+8zt0xoUSPjvEqAhIiSAN9YcsvscpECeEOpIcCOEE1lb2m2qW7KRqRoiTk0YVRT4+msYPRrOnze8NnAgvP026/ftY0CLFpw+fRqtVsu4ceOYMmUKQUFBVFtzkAWbjtv0VtEmpuDm/XG0zAY2EcH+ZOQU2LRP5bBAMrLzSxW5c4Sp+yqEKE2CGyGcSG2Sp9uTQf/7D559Fn41JAzTqBHMn4+uc2fGjBnDBx98AECDBg34/PPPufXWWwHDSNRP+5PMHbWYqLAAJt3flOjw0qNM8YlJzF53xLnX5Ea2BjYALWpFMGKF9crTatwbG02/jnWlQJ4QKknOjRBOpDbJ023JoPn58NZb0LSpIbAJCoLXXoN9+6BLF/z8/Lhw4QIAw4cPZ9++fYWBDdhWZDA1K5/o8OBihdx0eoWtRy8x5pv9Tr80b7fvdIbTWk4k/JcigY0QNpCRGyGcyNrSblcs5TZr2zYYOhQSEw1fd+0K8+aRX68e2dnZRAQZ1kLNnTuXAQMGcM8995Q6hK0jTEW3N7VirDxJzcpz2rHSs/NNTmUKIUyTkRshnMhSWwO3JYOmpcGwYdCpkyGwqVIFPv8c1q3jYEEBHTp0YMCAARh75kZFRZkMbABOXMqy6a2rhBkCJnMrxsoiG0r6uJTUtRFCPQluhHCy7rExzH2qFZXCSi8DdupS7pIUBb78Eho3vr4SauBAOHwYfZ8+vDd7Nq1bt2bPnj388ccfnDp1yuLh7MmTefHb/by/9l9e+d8Bn+kCrrjwQvp2qE2LmuY7GxcldW2EUE+mpYRwsvjEJKavPlSsGm9UWCCTerhwlYuZhGG6dOHEiRM888gjbNy4EYB7772XxYsXU716dbOHMy5pt1VyZg7vry+7icPOFBkaQEZ2vtkgT6uBZdstB5jg5qlMIXyEjNwI4UTmpmPSsvIYsaJ0AT+HmUoYnj4d9u1Duf12lixZQvPmzdm4cSNhYWEsWLCA1atXWwxswPZu5aK09GuBjblZLTXL4qWujRD2kZEbIZzE3gJ+tr6HsdBfg3/30/S1l9H8/bfhm127GkZrGjYEIDsri9dee43Lly/TuXNnli5dSoMGDVS9j+R3OE4DRIQGEOzvR3Lm9ftpSyFDqWsjhH0kuBHCSRwp4KeGcfVR1vlLvPLHUmL3xwOQVymKwDnvw9NPg0aDoihoNBrCwsL47LPP2LlzJ2PGjMHPz3r7AGPwdOT8FZvPTxSnYBi9+WJQa7RaDRcu53Dpci7TV1uvUDzyzhvpdGMVWf4thJ0kuBHCSVxZwC8+MYnhy3bzwKFNTFq/iBuy0wH4uvk9vHXHM8xodQcdMjJ4/vnnufXWWxk2bBgAXbp0oUuXLqrfozwv3baVRqMu2fhSVi69WtYAYOW+s6qO3bBaBdrVi7LaVV4IYZoEN0I4iasK+On0CouXruOz/83m9hN7ATgaVZMJ3Ueys1YsGmDM7GVc/u1Dzpw5w8qVK+nduzcRERGqjr3zeCprDyazpJx37FbLGF4837Uhc1QkTxf9vNV+9icuZdF55garXeWFEKZJcCOEk7ikgF9eHmcmTGf5nLcJLsgj1y+AD299goXtHiHPPwB9fg7pGz/j8u6fAbjxxhv5/PPPVQU2MlJjmVYDgzrXY9VfScXukTEP5u4m0Xyz67RNn7ean5HI0ACTS/CNXeVdWk5ACB8hwY0QTmIs4Dd8+R40UOzhZdeql61bYehQ6lxLGN5SpwUT73mWE1GGKY7cc/9wafV7FKQapjrufbw/3y6ZS1hYmNVDG1d12VLCZeSdDagUGqgqZ8QX6BXo2qgar9zbmO3HUgo7e3dsUJkO9Svb9Xmr2cfcZ+KspHQhygNZCi6EE3WPjWHe062Jjig+/WBTAb+0NEPbhM6d4e+/ya9UmdH3v8jTT7xeGNgUXEklecUrFKSexa9CFFUfm8akN99VFdhYWtVlScNqFXmmUz1iIspPMbkLl3NYezCZl77bz0e/H+Oj34/SZ/EOOs/cQHxikl2ft6V9RsfdRHp2fql9jIompQshzJORGyGcrHtsDHc3ibY9GVRR4KuvYPRouNbMkkGD0M54ix2L96MpMpXhXyGKiHYPk5+RTOW7h1OjWhXV01321rCpWjG42MiDLcGRcbol3UJRO290/OIV5qw/WuqcS04R2fJ56/QKESGBvNztZlKz8oiqEFTYSX3VX+dUndfag8nSZ0oICyS4EcIF/LQa2x4+x44ZKgz/9pvh60aNDC0Ubr8dP2DifTfT94WphNRrTcANdQCIuK0PWo1h8NXSdFfR2jhVKwaTnHHV5uuJKZI7Yhx5KJmvYwxeTFGA/h3rlrnqxZ8lnFBdt0jN520qz8mYKOyn1ahOOF6y9QTt6kVJ7o0QZkhwI4QblAwwCv+yz8uDd94xVBXOyTFUGJ44EcaONfx/4MSJE7z9fH/SNm0i759NVH5qFho/fzQardUib6YeplFhgTaff88WMcWCJ1OjFWlZeTy7Yo/ZYyza/J/N7+tpadkFZr9na90ic3lORUeB7m4STUxEsNWRNcm9EcIyCW6EcDFzf63PrnGZDjNfhYPXejjddRfMm1dYYVhRFJYsWcLo0aO5cuUKYWFhvDv5JZrd1YmLV3KtTn+Ye5imZeXZfA0LNx2nVe1KxYKooqMVOr1C55kbLB4jK09n8/uWBWrqFtlSvXrKA00Yttx8kGjcx5GCkEL4OgluhHAhUwFGeM4Vno//kA77rzW5vOEGmD0bnnrKUBkOSE5OZvDgwaxatQqAzp0789lnn1G/fn1V72vtYWorBXj1h0S6NqpGoH/pdQjO7kUVGRJA+lXzibXuUDkskBQVgaCaqSRbqld3j41hUKe6fKKi7pC0yRDCNFktJYSLlAowFIWeB/9g/aJh9L4W2Kxsey+6g4egT5/CwObQoUPExsayatUqAgMDmTVrFn/88YfqwAbUBxtBJgIVc1Ky8ugwY53J5p/OfsjO7dOaLwd34OkOtZ16XFtM7dmUmIhgs40vNRTPRbLE1urVcU2iVW1va0FIIcoLCW6EcJGiAUbttCQ+/2YyH/z8Djdkp3Okci0ee+otRt01gp0Zxfdr2LAhDRs2pGXLluzevZuXXnpJVV+ootQ+THML9DYdNzUrn+HLS3c3d9ZD1hgwdKhfmYyreaw5kOyU49qjSoUgpjzQpPC8irK1bpGt1auNxf6cEVgJUR5JcCOEiyRnXCVAl8+zCd/w25IR3H5iL7l+Acy6rS/3DfiAP2vFAoZAZOPGjeTkGAISf39/fvjhB3bs2EFsbKxd7+3qv+in/XwQXZHW1tYexmoUDRjWHkxm+PI9pNqRH+QsFy7n0D02hrlPtaZSiSRsm+oWYXuwYlxyb/xeyW3BxoKQQpQzEtwI4QLxiUn8/PG3rP50FC9v+pzggjy21GnBPYPmMvfWJ8j3CwBAn5/D8vemcscddzBp0qTC/aOjowkMtH1Vk5Ezgg1zTBWSs/QwVssYMNzdJNquIoPOVrViMPGJSUxffbBYkBUVFsCkHo1tWoZtT7DilIKQQpRTklAshJOt33qQtBFjWHItr+ZSaATTu/4fK5vcUZhXA5B37h/SfpnNd5fOAJCTk4OiKGg0jock1sr8OyNwKDn1Za7+TUSIPxlXzS+pHtSpLnFNogtXfiUcS/FovytjT6i0rFxGrNhb6l6lZuXz7Iq9zNdqbAowzN0fS8v57S4IKUQ5J8GNEM6iKOi/WEGrYSOJykoH4Mvm9/DWHQPICKl4fTNdPhlbvyJj+7eg6KlRowZLlizhnnvucerpWHqYPnlLbWav+9eh41etGFyqfk/XRtWoGBRQ2IfJX6vhqz9PmwxuzHW59uQKIGPIMKlHE6avtjx69Mr3B2yuM2NPsGJzQUghhAQ3QjjFsWMwfDjatWuJAo5UrsWEbiMK82qM8lPPcumnt8k7fwyAPn368OGHH1KpUiWXnJa5hynAV3+esmuE5PrIRh6dZ24odgytxtBwUo1JPUyPVqjNFxpxZwNW7DhpsdCerSqFBfBQyxokZVy1em/Ss/P5aMNRRsU1tOk9JFgRwvUk50YIR+TlwZtvQmwsrF2LLjCoVMJwURr/APLTkqgYWYlvvvmG5cuXuyywscQ4bWVtzMFcfkjPFjGMWLGnVACgNrDRANNXF09KNmpTpxLWBkO0GuhQt7LTAptuTasRFRZIalY+n2w9obrz+afbjpu8BiGEZ8nIjRD22rLF0L3bWGE4Lo6/XnmTuWsvFNtMd/UyftempfzDq3LDQxNYPOpBHujY1OWnaKmXkblpq6iwAF7vFYtWqzE5pTWpR2Omrz7kUN6OqQq7ximurUcvWQ2S9ArsOJHiwBkU9+vf5+3aLz07X6oEC+GFJLgRwlapqTBuHCxebPi6SIXh5grE7NxAckYOekXhyl+/kbZhMTf0eoWQ+m3QAPVbdOC+9k1Uv53ZvlRWqOllZC0HpGujaixLOMHJ1GzqRIXSt2Nddp9Mc1rCrzG/xlQQZp13JNVKlWAhvI8EN0KopSjw5Zfwwgtw4drozODB8NZbEHWtPonGsKR38Pz1pMR/wNVjfwJw5cA6Quu3AWyrT2Jt5MUcW3oZ+Wk1tKsXVRjg7DyeSrt6Uaw9mFzqvRdvOU73WHXVc9UwLrc2FYRZ07FBZf6354xHV1aBVAkWwhtJcCOEGkePwvDhsG6d4esmTWDBAujcudSmVw5vJfOL57mangZ+/kTe1o/wW3pZ7eBdktqRF1Ns6WWUcTWvVBATGRpAenbp3k5JGTl8qqLnkTXGpOQ2dSrRZdbvNgU2xn071K+sqsmkqxjPQ6oEC+F9JLgRwpK8PJg1C6ZPh9xcCAqCSZNg7FgoUWQvLS2N5557ji+++AKAli1b8uKbH1Ixpp7N9UlsHXkpSe1UybqDySzZeqLU+5gKbJylaNE6W6e4Sha86x4bw/ynW/PK9wdces7WzkMI4V1ktZQQ5mzZAi1bwsSJhsDm7rshMRFefbVUYAOwYcMGvvjiC7RaLRMnTmTHjh08fW9nerWsQccGlW16CNoy8mKK2qmSH/addXsl4KIVdm3NVzFVnbd7bAy7J97NC3E3ERkSUGz7mIhght5ez6Hz1WAoRGjtPIQQ3kNGboQoqWTCcNWqhoTh3r2LVRgu6ZFHHuGVV16hV69edOjQwaFTsLWLdEnG9gvJGTkmgxcNEBUWSIobezdFhgQwt09rOtS/HuipDcJG3tmATjfeYHb0y0+rYVRcQ0Z2vZGdx1NJzrhKalYelUIDeX3NQYfOWwEyrxbwQtxN1K0SKlWChSgDZORGCCNFgS++gEaNrgc2gwfDoUPw1FOlApvt27fTuXNnLly4vvR7xowZDgc2YHsX6ZLU9DLq1bK6nWdnOw3w1iPN6HRjlWJBgdqGks/fdRMAq/46R8KxFLO1Zfy0GjKu5vH2r/8wffUhxny7n9Qs50xXffXnKe5vXt3mUTghhPu5LLhJTU2lT58+hIeHExkZyaBBg7hy5YrFfXJychgxYgSVK1emQoUKPPLII5w/f73+xP79++nduze1atUiJCSExo0bM2fOHFddgihPjh6Fe+6Bp5+GixcNCcObN8PChYUroYzy8vKYOHEinTp1YuvWrUycONHpp2NrF2lTzDVejAgNYHTcTdzVqJrzTtiCsEAt3ZpWJT4xmVm/Hmbr0UuFwYmaIKxnixi6zPqd3ou2M+qrffRetJ3OMzcQn5hU6r2MSdjOXkFlbRpQCOFdNIqiuGTK/d577yUpKYkFCxaQn5/PgAEDuOWWW1ixYoXZfYYPH87q1atZunQpERERjBw5Eq1Wy9atWwFYsmQJ+/fv5+GHH6ZWrVps27aNIUOG8PbbbzNy5EjV55aZmUlERAQZGRmEh4c7fK2iDCuZMBwcbEgYfuklk3k1iYmJ9O3bl3379gHw9NNP88EHH7ikyrDxQQ2lG18CxXI+LNXC0ekVPtpwhE+3niD96vVRjOjwYHIKdGRk57s97yYyNIC3Hm5WeP7mlrz3bBHDwk3HS52fuXtQsh2Es815siW9WtZw2fGFEJapfX67JLg5dOgQTZo04c8//6Rt27YAxMfHc99993HmzBmqVy89HJ6RkcENN9zAihUrePTRRwE4fPgwjRs3JiEhwexQ/4gRIzh06BAbNmxQfX4S3AjAMDIzdKhh2gkMCcMffww33lhqU51Ox+zZs3n11VfJy8ujcuXKzJ8/v/Bn1VXU1Lmxto25JeXO6g7uiPkWAjTjMnFzwYpxKfaWcV0Lu4n3XrTdpef75eAOUo1YCA9S+/x2SUJxQkICkZGRhYENQFxcHFqtlh07dvDQQw+V2mf37t3k5+cTFxdX+FqjRo2oXbu2xeAmIyODqCjLdSZyc3PJzc0t/DozM9PWSxK+xI6E4XfffZdx48YBcP/997No0SKio51XzM4caxWErdXCmftUa7PdrY2vaTSGdCNTjInHE3s0JjoihLSsXKavPuS00ZGiy9lLNpRMOJaiesVYxwaVXVopWGraCFG2uCS4SU5OpmrVqsXfyN+fqKgokpOTze4TGBhIZGRksderVatmdp9t27bx9ddfs3r1aovnM2PGDKZNm6b+AoRvUhRYscJQYfjiRcNrJSoMmzNs2DCWL1/OqFGjGDhwIBoLq6bA/pYJppjrIp1XoGfCD4kWa+FMWplodUWUpbFbBUjJyiM6IqTwHLrFxrB063HVzSUtScrIYft/KWg1mlL3ytYVY66qFCw1bYQoe2wKbl555RVmzpxpcZtDhxz/hadGYmIivXr1YsqUKdxzzz0Wtx0/fjxjxowp/DozM5NatWq5+hSFN7GhwjBAUlISCxcuZPLkyWg0GsLDw9m7dy9+fn5W38relgm2iE9MYsIPByyuBDIGJs5QNNDw02p4plM9Fm85bnapuS1GfLGnWC6Q8V7ZumJMzfL3CkF+XM7V2XR+tlaWFkJ4nk3BzYsvvsgzzzxjcZv69esTHR1dbHksQEFBAampqWaH8qOjo8nLyyM9Pb3Y6M358+dL7XPw4EHuuusuhgwZomqlSlBQEEFBQVa3Ez4oLw/efhtef11VwjDAt99+y7Bhw0hNTaVatWoMGzYMwGpgY0jcPcrsdf+W+p6alglq2duLyRElAw3jKqfhy/c4nLtTNLCB6/fq/26rh1aD2Q7hJaeKLJ2Tcbxl5iPNmfBjoupqxpN6NOaZTvVkxEaIMsampeA33HADjRo1svgvMDCQjh07kp6ezu7duwv33bBhA3q9nvbt25s8dps2bQgICGD9+vWFr/3zzz+cOnWKjh07Fr72999/c+edd9K/f3/eeOMNW69XlCebNxsqDE+adL3C8IEDMGGCycAmLS2NPn368Pjjj5OamkqrVq247bbbVL1VfGISnd5abzKwgesP2mk/HzRbo0UNS20ZzIkKC7DYP1urMd9f29KSc3NLzWMigktV9LWFcu3fos3HzQY2RiWnisydk7Gi8H3Nq3NLXfUr26pUDJLARogyyCU5N40bN6Z79+4MHjyY+fPnk5+fz8iRI3nyyScLV0qdPXuWu+66i88//5x27doRERHBoEGDGDNmDFFRUYSHh/Pcc8/RsWPHwmTixMREunbtSrdu3RgzZkxhLo6fnx833HCDKy5FlEWpqfDyy/DJJ4avq1aF99+HJ580mzD822+/MXDgQM6ePYufnx8TJkxg4sSJBJoZ3SlK7UhKyQRYe/JyrLVlKMo4sjGpR2NGrNhrdjRj8G31WLjpuNnvW8o1MZfwvPZgsksbWmo18METLYkICWTlvrPF7p+lJOy8Aj3rD12w/gbXnLiU5bJrEEK4jsvaL3zxxReMHDmSu+66C61WyyOPPMIHH3xQ+P38/Hz++ecfsrOzC1+bPXt24ba5ubl069aNjz/+uPD73333HRcvXmT58uUsX7688PU6depw4sQJV12KKCuMFYbHjLmeMDxkiCFh2EIdmhkzZjBhwgQAGjZsyLJly8yOMJZkz0jKhcs5duXl6PQKW49etOGdKDzePK2m1PsVzSVpVbuSxe9bYirh2VpDS0ensvQKTP75IKlFcoqK3j9zSdjLEk5YHQ0q6sudpxjZtaGM3ghRxrisiJ83kzo3PujIEUPCsHFas0kTQ3XhTp2s7rpjxw46d+7MsGHDmDlzJqGhoarf1p7aKi/ENeT9dUdUFaYzMhUMWVI5LJA3HootdhxrI0XOXOFV9Jjbj6Ww9dhFzqXnkJOvJ/5v06sfHWXp/hlNXpnI5wknbTqu1LYRwnt4tM6NEG6Tm2uoMFw0YXjyZHjxRbMJw3l5eezcuZPO11ZKtW/fnn///Zd69WzvHm1LbRXjNNGXO09ZXL5dtPYL2J5AHBUWQML4uwj0L55SZ240Q+337eGn1dCpYRU6NaxSWEHYVczdv6LqRKkPXI1cWT9HCOEa0jhTlF2bN0OrVtcThu+5BxITYfx4s4HNgQMHaNeuHXFxcfz999+Fr9sT2IDttVWevKU2yZm5Zr9fsoeRLdNemmv/3nyoWanAxnishGMprNx31mLzSVexJV/IXtZ6QPXtWBdbB6NcVT9HCOE6MnIjyh47EoZ1Oh3vvvsukyZNKmyfcO7cOZo2berQqVirrWJkzAfJLdCrOq5xtMCWgMBSjow7au9Ys/aguumoyJAAnrilJgs3HQfsy80xN9oS6K9l8G31WHDt2JZIVWIhyi4ZuRFlh6LA8uXQqNH1wGbIEDh82GLrhP/++4877riDcePGkZeXx/33309iYiJ33323w6dkqau10QtxDdkyrivdY2NsLkyndkpk5J03Fr5HSeY6ZRvryZjqru1s8YlJLNl6QtW2c/u0Zvx9TUwu6Y4KC1B1jCph5utataptfSm4VCUWomyT4EaUDUeOGOrU9O1rWAnVtCls2WKoMmxhJdSSJUto3rw5W7ZsoUKFCnzyySf89NNPTu0LZaney/ynWzMq7ibAkHycnJlj8QFdsq6M2mCo041VTD6ELU1rOav2jjXGc1AjJiKYDvUNeT/dY2PYMq4rXw7uwJwnW/Ll4A5sHx9HTESwxbo9AC9+u99k0Kb2XKqFBzml4KIQwjNkWkp4t9xcQ4XhN95QnTBc1Pnz58nKyuL2229n6dKldufWWGOptoralU6mRgvUtBSwNHVibVqrZO0dV7Blaq3kSImpJGc1lZHPZ5quCK32XN59vCWdbqyi6pyFEN5HghvhMVaXHm/aBMOGgbFf2T33wMcfQ4MGFo9btIXH2LFjqVmzJn369EGrde1ApakHsS0rnUzlzKhpKWBp6sTW5pOuoPbYgzrVVTVSYhwpm/rT32aTs82tnFJ7LpeumE/6FkJ4PwluhEdYTHCNCTQkDC9ZYvhG1aowZw488YTZvBqA1NRURo4cyf79+9m9ezfBwcH4+/vTt29fm87NWfVerK100gBRYYFM7NGY6IgQs+9jfJjbU2TP1hwfV1B77Lgm6qcKu8fGUDE4gD6Ld5jdxtSolDfcDyGE60lwI9zO3GhGcvpVfnvlHbpuW0pg2rWlvCoqDAP8+uuvDBw4kHPnzuHn58fGjRvp1q2bXedmT+VgU8GQmimhlKw8oiNCrE4JWZr2skTNaq5KoQEuXRFk79SatSBT7ejKhcs5hccy5jyZ66YuK6SE8A0S3Ai3MjeaUTf1LG/8NpdOJ/8CQGnaFM2CBVYrDGdlZTF27FjmzZsHwE033cSyZcto166dzedmNuiy0NHbUjBk67Jva+wpsmec1rLU5yktO5+1B5Ndljxrz9SamiBT7ejKiUvZdJ65wa6cJyFE2SSrpYRblRzNCCzI57mtX/LrkpF0OvkXOf6BzOzSnx3frrUa2Gzbto0WLVoUBjbPP/88e/futSuwsWdVkbUl1icuZaOGq6dA7m4STWSo5RVa5lZMOavwn7Vu3UUDK7VL140jQpY6mkeGBvD+un9VJRGbOhchRNkkIzfCrYqOUrQ7ncib8R9xY+oZADbVbcWr3UZwOjKaRrnWRz2mTp3KsWPHqFmzJp9++ilxcXF2n5etq4qsBUMa4Ks/TxEdHsT5zFyz0zFRYYEkZ1wl4ViKU3o5mbLzeKrJ5pVFz9fUiilnF/5TM7Wm5r4WTRK2NCKkFNnPFLU5T0KIskdGboRbVa0YTOTVTGaumcM3K17hxtQzXAyL5LkHxtLv8dc4HRlduJ01ixcvZsiQIRw4cMChwAZsX1WkNhjq3a42YLrAnzHn5oVv9tN70XY6z9zgkoJ69qyYclXhP+PUWq+WNejYoHKpYMKWIBPMjwhFhAbwaOuaVoO6ojlPEtgI4TskuHEiT/fu8XqKQvstq/l98XCeOLAWgC9adueu/5vPz026gEZTqoidkU6nY+bMmYwePbrwtdq1a7NgwYLCZd+OcFXl4LpVwkw+fE1xVcVgW6/Nk4X/7AnEjMX+XohrSGSIYfotPTuf7/accep7CiHKDpmWchJv6N3j1f79F4YPR7thA5WAf6rUZkK359hds3HhJuYSOo8dO0b//v3ZunUrAH369OGWW25x6unZuqLHloChY4PKhdMxyZk5TF/1t8nVOmq6WtvD1mvzZOE/e5dqrz2YzPvrjtjVh0qWfQvhe2Tkxgm8oXeP18rNhenToXlz2LDBUGF4xgxO/LaJc01bFdu0ZEKnoigsWLCAFi1asHXrVipWrMiSJUto27at00/TUo8oS5WDLSWzFh2BMk7HRIcHm12GDNa7WtvD1mvzZOE/W+8r2NY53dqxhBC+QUZuHGRrAmS5smkTDB1qaGwJ0K2bocJw/fp0A+Ja1DabXHru3DkGDRpEfHw8AF26dGHp0qXUrVvXZadrS7E8eysHeypwsOXaPFnozp77akt7B2vHEkL4BgluHOQNvXu8TkpK8QrD1arB+++XqjBsrm6LTqfjjjvu4MiRIwQFBTFjxgxGjRrl8vYJYFuxPHsqB3sycFB7bY72s3LGedpyX+0JBNVUdxZClF0S3DjIG3r3eA1FgWXLDE0tL10yvDZ0qKHCsA1Jv35+frzxxhu89dZbLFu2jCZNmrjmfM29vw3F8mytHOzpwEHNtTnaz6oke9pZ2HJfbQkEI0MCmNunNR3qO7Y6ylktOoQQriHBjYOkV8011xKG2bABACU2lsTJb/Nfw+ZUTdHRLlyx+Ms/Pj4evV7PfffdB8Bjjz3GQw89hL+/9/+I2hIMOTtwcBVH+lkV5Uiivdr7agwY1UxNpV/NR6vROHR/ZfGAEN5PoyhKuVuvnJmZSUREBBkZGYSHhzt0LJ1eofPMDVb/Et8yrqvHH1gukZsLM2fCG29AXh6EhPDP0BcYVPl2zlwpKNzM3C//K1euMHbsWObPn88NN9xAYmIiVatWdfdVuF1ZeUA6MkJhrp2FcW9nVgOOT0yy2GKiqDlPtqRXyxp2v4+7rkkIUZra57f3/1ns5crKX+IusXGjYdrpn38MX3frxsZRU3lmYwpKkcAGTPdn2rp1K/379+fYsWMAPPXUU1SoUMGtl+Ap9jbCdDd7+lmB+xPtu8fG8ELcTcxe96/Vbe0dRZXFA0KUHbIU3Als6ZvjE1JSYOBAuOMOQ2BTrRp89RW61Wt4ZV+W1eJv2VdzGD9+PLfffjvHjh2jVq1arF+/nvfff5/Q0FA3XohnWavW62quLDppa6VhZxjZ9Uaiw4PMft/Rpd+euCYhhH1k5MZJyspf4g4xlTA8bBjMmAGRkew8lmL1l//Zi+m0aN2Wo4f/BqBfv3588MEHREREuOEChJGrp8U8kWjvp9UwtWdThl+bnnL2KKosHhCi7JCRGyfy9F/iLvXvv3DXXdC/vyGwiY2FrVth3rzClVBqfqlrA4Op26gZVapU4fvvv+ezzz6TwMbN3FF00lOJ9q4cRZXFA0KUHTJyIywzkTDMlCkwZgwEBBTb1Nwv9fy0c2j8A/GvWAWAcVNn0Cz6fapVq+by0xfFuStvxJNL3l01iurpZfxCCPVk5EaYt3EjtGhhCGby8gwVhhMTYdy4UoENlC6drygKl/euIenT50hZMwcUhZiIYO5sVsfnAxtvbaLqrrwRW1s+OJsrRlE9fU1CCPVk5EaUlpICY8fCp58avq5WDebMgccfL1ZhuKSiK8d0ly9x6ZcPyTm+2/BNfQFKXjZTHmjj87/8vXmZtzvzRpxVK8eb+OI1CeGLJLgR11lJGFaje2wMT1Q+xTsfjEN39TL4BVCpyzPc1PUxpvaK9flf/ubqoJhaCu8J7s4b8cVEe1+8JiF8jQQ3wuDffw2BzO+/G75u1gwWLICOHVUfIiMjg6FDh/L1118D0Ci2BSOmzqZNy+Zl8pe/rQXsykIdFE/kjdhbK8caT7ZAcNU1CSGcQ4Kb8i4319D76c03rSYMWxMQEMDevXvx8/Nj4sSJvPrqqwTYeAxvYc/UUlloouorRSe9eepPCOF5EtyUZ3/8YRitMVYY7t4d5s6F+vVVH+LKlSuEhITg5+dHaGgoK1asQK/X07pN2zI7bG/v1JIz8llcORphPHZugZ7RcTfx5c5TJGeWvbwRb5/6E0J4ngQ35dGlS4aE4aVLDV9HRxsShh97zGLCcElbt26lX79+PPvss7z44osAtGnThvjEJDrP3FAm/6p2ZGrJ0XyW+MQkpv70N8mZuYWvRYcHMbVnU4fvm6mRjujwIF6Ia0jdKmFlJgAtC1N/QgjPk6Xg5YmiwGefQaNGhsBGozF08j50yOpKqKJyc3MZN24ct912G//99x8LFy4kLy8PcE+BOFdyZKl0yaXwJVkq/29s/Fg0sAFIzsxlmIP3zdxncj4zl/fXHSHIX1tquXR5X8ouhCjbZOSmvPjnH8MU1B9/GL62I2EYYP/+/fTt25cDBw4A8Mwzz/D+++8TGBjoE39VOzK1ZG8+i06v8Mr3Byy+3yvfH7DrvtnzmXhzPos9n48nE4+FEJ4hIze+LjcXpk2D5s0NgU1IiKHi8O7dNgU2Op2Ot956i1tuuYUDBw5www038MMPP/Dpp58Wtk/whb+qHZ1asqf8//ZjKaRn51t8v/TsfLYfS1F1bkXZ+pl4+8ibrZ+PcYq096LtjPpqH70XbafzzA0evw4hhGvJyI0vM5Uw/PHHUK+ezYc6cuQIkydPJj8/n169erFw4UKqVq1abBtfaCzojKXSttZBSfjvkqpzS/jvEp0aVlG1rZEtn0lZGHmz5fORxGMhyi8ZufFFly7BgAFw552GwCY6Gr7+GtassSuwAWjUqBHvvPMOn376KT/88EOpwAZ8o7Ggs0rs21b+X22gYHtAYctnUhZG3tR+PoDFQM34fW/JJRJCOJcEN77ESQnDAGfPnqVnz57s3r278LXnn3+eZ555Bo2Z4ziSUOtNXNlZ2hS1NW/sqY1jy2dSVkbe1Hw+ZSFQE0K4jkxL+QonJQwDfPXVVzz77LOkpaVx9uxZdu3aZTagKcpXCsSB80vsW0pq7VC/MpGhARbzbiqFBtChvu3BjS2fSVkaebP2+ZSVQE0I4RoS3JR1pioMT50KL7xgc4XhlJQUnn32Wb755hsA2rZty+eff64qsDHypcaCziqxb231kZ9Ww1sPN2PY8j1mjzHj4WZ2B1ZqPxNPtGZwhKXPpywFakII59MoilLuJp0zMzOJiIggIyOD8PBwT5+O/f74A4YONfSFAocShtesWcOgQYNITk7Gz8+PSZMmMWHCBLvbJ8jyWwNzSa3GO1F0mstQxO9gsarBzlyCreYzMZ4vmB7lKStJuDq9QueZG6wGalvGdS2XP5dClFVqn98S3JTF4ObSJXjpJUN+DdhdYdho/fr1xMXFAYbE4WXLltG2bVtnnnG5ZHzAmsv9MPWA9Yag0Jvr3NjCVwI1IcR1EtxYUGaDG2PC8EsvQUrK9YThN96AyEi7D6vX67nnnnto1qwZb775JiEhIc4753Is4VgKvRdtt7rdl4M7eF2HaW8IspzBVwI1IYSB2ue35NyUFSUThps3NyQMd+hg86Fyc3OZPXs2I0eOpEKFCmi1Wn755Zcy28HbW5XlpFZn5Rt5mrMTw4UQZYMEN94uJ8eQMDxjxvWE4WnTYPRomxOGAfbt20e/fv04cOAAp06d4uOPPwaQwMYFJKnVO/hKoCaEUE+CG2/2+++G0RpjwvC998LcuXYlDBcUFDBr1iymTJlCfn4+N9xwA926dXPyCZc9jky/WNu3rK0+EkIIXyHBjTcylTD8wQfw6KN2JQwfOXKE/v37k5CQAMCDDz7IggULTFYZLk8cycdQs68v1f0RQoiyRCoUexNFMVQWbtTIENhoNPDss3D4sN0rodasWUPLli1JSEggPDyczz77jO+//14CGwcaRNqyr7urHQshhJDVUt6zWurwYcMU1MaNhq8dSBguKjk5mdjYWFq0aMGnn35K7dq1nXCyZZs9S7Qd3ddXVh8JIYQnyWqpssLJCcMACQkJdLzWdiE6OpqEhAQaNGiAVisDdYBNfYdKJqLau68ktQohhPvI086Tfv8dWrQwBDN5eXDffXDwIIwda1dgk5KSwhNPPMGtt97KDz/8UPh6w4YNJbApwpEl2mV5ebcQQpQX8sTzhEuX4JlnoGtXw0qo6Gj45htYtQrq1rXrkGvWrCE2NpZvvvkGf39/Tp486dRT9iWOLNGW5d1CCOH9JLhxJ0WBTz+Fm292WsLw5cuXGTJkCD169CA5OZnGjRuTkJDA6NGjnX/+PsK4RNvc3dZgWPlkaom2I/sKIYRwDwlu3OXwYbjzThg4EFJTDQnDCQmGujUREXYdcuvWrbRo0YJFixah0Wh44YUX2L17t/SFssK4RBsoFaRYW6LtyL5CCCHcQ4IbV8vJgSlTDLk1GzdCaCjMmgW7dkH79g4dOi0tjePHj1O7dm02bNjAe++9J32hVHJkibYs7xZCCO8mS8FduRR8wwbD8u4jRwxf33efYaTGzrwagKysLMLCwgq//uyzz3jooYe8Z0l7GePKCsVCCCGcS7qCW+Dy4ObiRUOF4c8/N3wdE2OoMPzII3bl1YChfcLbb7/NnDlz2L17NzVr1nTiCQshhBDeT+3zW6alnMmYMNyokSGw0WhgxAg4dMju1glgaJ9w22238eqrr3LhwgU+NwZNQgghhChFivg5i6kKwwsXOpRXoygK8+bNY+zYsWRnZxMeHs5HH33E008/7aSTFkIIIXyPBDeOyskxVBeeMQPy8w0Jw9OmwahRdlcYBjhz5gwDBw5k7dq1AHTt2lXaJwghhBAqSHDjCBckDBt9+OGHrF27luDgYN5++21GjBghVYaFEEIIFSS4sYcLEoZLmjJlCmfOnGHSpEk0atTIKccUQgghygMZCrCFixKGAVavXs3jjz+OTqcDIDQ0lC+++EICGyGEEMJGMnKj1qFDhimoTZsMXzshYRgM7RPGjBnD4sWLAYiLi2PIkCGOnq0QQghRbsnIjTU5OTB5sqHC8KZNTq0wvGnTJlq0aMHixYvRaDSMGTOGvn37OunEhRBCiPJJRm4sKZkw3KOHIWG4Th2HDpuTk8OkSZN49913URSFOnXqsHTpUu644w7Hz1kIIYQo58plcGMsypyZmWl6g5QUmDABvvrK8HW1aobRmp49DXk15vZTaeDAgfzvf/8D4Omnn2bGjBmEh4ebPx8hhBBCFD4nrTVXKJftF/777z8aNGjg6dMQQgghhB1Onz5tsQ1RuRy5iYqKAuDUqVNERER4+Gw8IzMzk1q1anH69Oly2XSzvF8/yD0o79cPcg9A7kFZu35FUbh8+TLVq1e3uF25DG6MxfAiIiLKxIfpSuHh4eX6HpT36we5B+X9+kHuAcg9KEvXr2ZQQlZLCSGEEMKnSHAjhBBCCJ9SLoOboKAgpkyZQlBQkKdPxWPK+z0o79cPcg/K+/WD3AOQe+Cr118uV0sJIYQQwneVy5EbIYQQQvguCW6EEEII4VMkuBFCCCGET5HgRgghhBA+xSeDm9TUVPr06UN4eDiRkZEMGjSIK1euWNwnJyeHESNGULlyZSpUqMAjjzzC+fPnTW6bkpJCzZo10Wg0pKenu+AKHOeKe5CSkkL37t2pXr06QUFB1KpVi5EjR3ptTyxX3IP9+/fTu3dvatWqRUhICI0bN2bOnDmuvhS7uOq/g+eff542bdoQFBREy5YtXXgFtps7dy5169YlODiY9u3bs3PnTovbf/vttzRq1Ijg4GCaNWvGmjVrin1fURQmT55MTEwMISEhxMXFccTYSNdLOfsefP/999xzzz1UrlwZjUbDvn37XHj2jnPm9efn5zNu3DiaNWtGWFgY1atXp1+/fpw7d87Vl+EQZ/8MTJ06lUaNGhEWFkalSpWIi4tjx44drrwExyk+qHv37kqLFi2U7du3K5s3b1ZuvPFGpXfv3hb3GTZsmFKrVi1l/fr1yq5du5QOHToot956q8lte/Xqpdx7770KoKSlpbngChzninuQmpqqfPzxx8qff/6pnDhxQlm3bp1y8803Wz2up7jiHnzyySfK888/r/zxxx/KsWPHlGXLlikhISHKhx9+6OrLsZmr/jt47rnnlI8++kjp27ev0qJFCxdegW2++uorJTAwUFmyZIny999/K4MHD1YiIyOV8+fPm9x+69atip+fn/L2228rBw8eVCZOnKgEBAQoBw4cKNzmrbfeUiIiIpQff/xR2b9/v9KzZ0+lXr16ytWrV911WTZxxT34/PPPlWnTpimLFi1SAGXv3r1uuhrbOfv609PTlbi4OOXrr79WDh8+rCQkJCjt2rVT2rRp487Lsokrfga++OILZe3atcqxY8eUxMREZdCgQUp4eLhy4cIFd12WzXwuuDl48KACKH/++Wfha7/88oui0WiUs2fPmtwnPT1dCQgIUL799tvC1w4dOqQASkJCQrFtP/74Y6VLly7K+vXrvTa4cfU9KGrOnDlKzZo1nXfyTuLOe/Dss88qd955p/NO3gnccf1TpkzxquCmXbt2yogRIwq/1ul0SvXq1ZUZM2aY3P7xxx9XevToUey19u3bK0OHDlUURVH0er0SHR2tzJo1q/D76enpSlBQkPLll1+64Aoc5+x7UNTx48e9Prhx5fUb7dy5UwGUkydPOuekncwd9yAjI0MBlHXr1jnnpF3A56alEhISiIyMpG3btoWvxcXFodVqzQ6j7d69m/z8fOLi4gpfa9SoEbVr1yYhIaHwtYMHD/Laa6/x+eefF/an8kauvAdFnTt3ju+//54uXbo49wKcwF33ACAjI6OwGau3cOf1e4O8vDx2795d7Ny1Wi1xcXFmzz0hIaHY9gDdunUr3P748eMkJycX2yYiIoL27dt75f1wxT0oS9x1/RkZGWg0GiIjI51y3s7kjnuQl5fHwoULiYiIoEWLFs47eSfz3ie0nZKTk6latWqx1/z9/YmKiiI5OdnsPoGBgaV+WKtVq1a4T25uLr1792bWrFnUrl3bJefuLK66B0a9e/cmNDSUGjVqEB4ezuLFi516/s7g6ntgtG3bNr7++muGDBnilPN2Fnddv7e4dOkSOp2OatWqFXvd0rknJydb3N74v7Yc05NccQ/KEndcf05ODuPGjaN3795e2WTSlfdg1apVVKhQgeDgYGbPns3atWupUqWKcy/AicpMcPPKK6+g0Wgs/jt8+LDL3n/8+PE0btyYp59+2mXvYY2n74HR7Nmz2bNnDytXruTYsWOMGTPG5e9p5C33ACAxMZFevXoxZcoU7rnnHre8pzddvxDlSX5+Po8//jiKojBv3jxPn47b3Xnnnezbt49t27bRvXt3Hn/8cS5cuODp0zLL39MnoNaLL77IM888Y3Gb+vXrEx0dXeqGFxQUkJqaSnR0tMn9oqOjycvLIz09vdhfrefPny/cZ8OGDRw4cIDvvvsOMKyiAKhSpQqvvvoq06ZNs/PK1PP0PSi6bXR0NI0aNSIqKorbbruNSZMmERMTY9d12cJb7sHBgwe56667GDJkCBMnTrTrWuzhLdfvbapUqYKfn1+plV2Wzj06Otri9sb/PX/+fLGf7fPnz3vdKjFwzT0oS1x5/cbA5uTJk2zYsMErR23AtfcgLCyMG2+8kRtvvJEOHTrQsGFDPvnkE8aPH+/ci3AWTyf9OJsxkXLXrl2Fr/3666+qEim/++67wtcOHz5cLJHy6NGjyoEDBwr/LVmyRAGUbdu2mc1C9xRX3QNTNm7cqADK8ePHnXb+zuDKe5CYmKhUrVpVGTt2rOsuwEHu+BnwxoTikSNHFn6t0+mUGjVqWEykvP/++4u91rFjx1IJxe+8807h9zMyMrw+odiZ96CospJQ7Ozrz8vLUx588EGladOmXr06yMiVPwNF1a9fX5kyZYrD5+sqPhfcKIphCWyrVq2UHTt2KFu2bFEaNmxYbAnsmTNnlJtvvlnZsWNH4WvDhg1TateurWzYsEHZtWuX0rFjR6Vjx45m3+P333/32tVSiuKae7B69WplyZIlyoEDB5Tjx48rq1atUho3bqx06tTJrdemlivuwYEDB5QbbrhBefrpp5WkpKTCf974S89V/x0cOXJE2bt3rzJ06FDlpptuUvbu3avs3btXyc3Nddu1mfLVV18pQUFBytKlS5WDBw8qQ4YMUSIjI5Xk5GRFURSlb9++yiuvvFK4/datWxV/f3/lnXfeUQ4dOqRMmTLF5FLwyMhIZeXKlcpff/2l9OrVy+uXgjv7HqSkpCh79+5VVq9erQDKV199pezdu1dJSkpy+/VZ4+zrz8vLU3r27KnUrFlT2bdvX7H/5j39826Os+/BlStXlPHjxysJCQnKiRMnlF27dikDBgxQgoKClMTERI9coxo+GdykpKQovXv3VipUqKCEh4crAwYMUC5fvlz4feNfIL///nvha1evXlWeffZZpVKlSkpoaKjy0EMPWfyP19uDG1fcgw0bNigdO3ZUIiIilODgYKVhw4bKuHHjytU9mDJligKU+lenTh03Xpk6rvrvoEuXLibvgTeM3n344YdK7dq1lcDAQKVdu3bK9u3bC7/XpUsXpX///sW2/+abb5SbbrpJCQwMVJo2baqsXr262Pf1er0yadIkpVq1akpQUJBy1113Kf/88487LsVuzr4Hn376qcnP21v/anfm9Rv/GzH1r+h/N97Gmffg6tWrykMPPaRUr15dCQwMVGJiYpSePXsqO3fudNfl2EWjKNeSR4QQQgghfECZWS0lhBBCCKGGBDdCCCGE8CkS3AghhBDCp0hwI4QQQgifIsGNEEIIIXyKBDdCCCGE8CkS3AghhBDCp0hwI4QQQgifIsGNEEIIIXyKBDdCCCGE8CkS3AghhBDCp0hwI4QQQgif8v+uQkNTUmLJnwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shear1 = (1 + m) * catalog[\"shear_1\"] + np.random.normal(size = catalog[\"shear_1\"].shape[0], scale = 0.01)\n", + "shear2 = (1 + m) * catalog[\"shear_2\"] + np.random.normal(size = catalog[\"shear_2\"].shape[0], scale = 0.01)\n", + "convergence = (1 + m) * catalog[\"convergence\"] + np.random.normal(size = catalog[\"convergence\"].shape[0], scale = 0.01)\n", + "\n", + "_ = plt.scatter(catalog[\"shear_1\"][:1000], shear1[:1000])\n", + "_ = plt.axline((0,0), slope = 1, color = 'red', linestyle = 'solid')\n", + "_ = plt.axline((0,0), slope = 1 + m, color = 'black', linestyle = 'dashed')" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "cat_noisy = treecorr.Catalog(ra = catalog[\"ra\"], dec = catalog[\"dec\"], ra_units = \"deg\", dec_units = \"deg\",\n", + " g1 = shear1, g2 = shear2, k = convergence)\n", + "gg_noisy = treecorr.GGCorrelation(min_sep = 1, max_sep = 400, nbins = 100, sep_units = 'arcmin')\n", + "gg_noisy.process(cat_noisy)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "r = np.exp(gg.meanlogr)\n", + "xip = gg.xip\n", + "xim = gg.xim\n", + "xip_noisy = gg_noisy.xip\n", + "xim_noisy = gg_noisy.xim\n", + "\n", + "_ = plt.plot(r, xip, color = 'darkblue', linestyle = 'dashed', label = 'xi_plus')\n", + "_ = plt.plot(r, xim, color = 'darkorange', linestyle = 'dashed', label = 'xi_minus')\n", + "_ = plt.plot(r, xip_noisy, color = 'darkblue', linestyle = 'dotted', label = 'xi_plus (w/ noise)')\n", + "_ = plt.plot(r, xim_noisy, color = 'darkorange', linestyle = 'dotted', label = 'xi_minus (w/ noise)')\n", + "_ = plt.plot(60 * theta_degrees, xip_theory, color = 'darkblue', label = \"xi_plus (theory)\")\n", + "_ = plt.plot(60 * theta_degrees, xim_theory, color = 'darkorange', label = \"xi_minus (theory)\")\n", + "_ = plt.legend()\n", + "\n", + "_ = plt.xscale('log')\n", + "_ = plt.yscale('log')\n", + "\n", + "_ = plt.xlabel(r'$\\theta$ (arcmin)')\n", + "_ = plt.ylabel(r'$\\xi_{+,-}$')\n", + "\n", + "_ = plt.xlim([1,100])\n", + "_ = plt.ylim([1e-7,1e-3])" + ] } ], "metadata": { diff --git a/case_studies/weak_lensing/notebooks/weak_lensing_sims/wl_galaxy_shape_derivation.ipynb b/case_studies/weak_lensing/notebooks/weak_lensing_sims/wl_galaxy_shape_derivation.ipynb new file mode 100644 index 000000000..1cbef9349 --- /dev/null +++ b/case_studies/weak_lensing/notebooks/weak_lensing_sims/wl_galaxy_shape_derivation.ipynb @@ -0,0 +1,665 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "bfe73319", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "\n", + "import torch\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from hydra import initialize, compose\n", + "from hydra.utils import instantiate" + ] + }, + { + "cell_type": "markdown", + "id": "2890376b", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "id": "f7f81708", + "metadata": {}, + "source": [ + "We sample a tile catalog for a single image from `LensingPrior`:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "4168009a", + "metadata": {}, + "outputs": [], + "source": [ + "os.chdir('/home/twhit/bliss/case_studies/weak_lensing/')\n", + "\n", + "# Compose lensing_config.yaml\n", + "with initialize(config_path=\"../../\", version_base=None):\n", + " cfg = compose(\"lensing_config\",\n", + " overrides = {\"prior.batch_size=1\",\n", + " \"prior.n_tiles_h=1\",\n", + " \"prior.n_tiles_w=1\",\n", + " \"prior.max_sources=200\",\n", + " \"prior.constant_shear=0.2\",\n", + " \"prior.constant_convergence=0.2\",\n", + " \"generate.tiles_to_crop=0\"})" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "8d5244a0", + "metadata": {}, + "outputs": [], + "source": [ + "prior = instantiate(cfg.prior)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "26317fba", + "metadata": {}, + "outputs": [], + "source": [ + "tile_catalog = prior.sample()" + ] + }, + { + "cell_type": "markdown", + "id": "52f3b995", + "metadata": {}, + "source": [ + "And we generate the image with `LensingDecoder`, which calls `GalSim.lens()`:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "325c580b", + "metadata": {}, + "outputs": [], + "source": [ + "decoder = instantiate(cfg.decoder)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "0a3de4a7", + "metadata": {}, + "outputs": [], + "source": [ + "image1, psf_params = decoder.render_images(tile_catalog)\n", + "\n", + "ttc = cfg.generate.tiles_to_crop\n", + "ptc = ttc * decoder.tile_slen # pixels to crop\n", + "if ptc > 0:\n", + " image1 = image1[:, :, ptc:-ptc, ptc:-ptc]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "a893cf25", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "band = 2\n", + "_ = plt.imshow((image1[0,band] - image1[0,band].min() + 1).log())\n", + "_ = plt.colorbar()" + ] + }, + { + "cell_type": "markdown", + "id": "956e5ef1", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "id": "593b77a2", + "metadata": {}, + "source": [ + "Now we'll try to do the same thing manually. We'll manually apply shear and convergence to intrinsic galaxy shapes, and then pass the resulting lensed galaxies into `bliss.decoder.Decoder` (which doesn't call `GalSim.lens()`).\n", + "\n", + "Here are all the latent r.v.s in the tile catalog:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "817bf31c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['convergence',\n", + " 'fluxes',\n", + " 'galaxy_a_b',\n", + " 'galaxy_a_d',\n", + " 'galaxy_beta_radians',\n", + " 'galaxy_bulge_q',\n", + " 'galaxy_disk_frac',\n", + " 'galaxy_disk_q',\n", + " 'locs',\n", + " 'n_sources',\n", + " 'shear',\n", + " 'source_type']" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sorted(tile_catalog.keys())" + ] + }, + { + "cell_type": "markdown", + "id": "dd6545d2", + "metadata": {}, + "source": [ + "Each galaxy is modeled as a disk plus a bulge. For each of the two profiles, the following relationships hold:" + ] + }, + { + "cell_type": "markdown", + "id": "ce2311aa", + "metadata": {}, + "source": [ + "$$\n", + "\\begin{aligned}\n", + "\\text{unlensed axis ratio } q_u &= \\frac{a_u}{b_u} \\\\\n", + "\\text{unlensed ellipticity } e_u &= \\frac{1 - q_u}{1 + q_u} \\\\\n", + "\\text{unlensed half-light radius } \\text{hlr}_u &= \\sqrt{a_u \\cdot b_u}\n", + "\\end{aligned}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "a5bef57f", + "metadata": {}, + "source": [ + "All of these quantities are affected by shear and convergence in the weak lensing regime. First, note that\n", + "$$e_u = \\vert \\tilde{e}_u \\vert = \\sqrt{e_{1u}^2 + e_{2u}^2}$$\n", + "where\n", + "\\begin{aligned}\n", + "\\tilde{e}_u &= e_{1u} + i e_{2u} \\\\\n", + "e_{1u} &= e_u \\cos(2\\beta) \\\\\n", + "e_{2u} &= e_u \\sin(2\\beta).\n", + "\\end{aligned}" + ] + }, + { + "cell_type": "markdown", + "id": "ccf008d7", + "metadata": {}, + "source": [ + "Also,\n", + "$$\n", + "\\text{reduced shear } g = \\frac{\\tilde{\\gamma}}{1 - \\kappa},\n", + "$$\n", + "where \n", + "\\begin{aligned}\n", + "\\text{complex shear } \\tilde{\\gamma} &= \\gamma_1 + i \\gamma_2 \\\\\n", + "\\gamma &= \\vert \\tilde{\\gamma} \\vert = \\sqrt{\\gamma_1^2 + \\gamma_2^2}.\n", + "\\end{aligned}\n", + "Let $g^*$ denote the complex conjugate of $g$." + ] + }, + { + "cell_type": "markdown", + "id": "bd38c669", + "metadata": {}, + "source": [ + "We also have\n", + "$$\n", + "\\text{magnification } \\mu = \\frac{1}{\\sqrt{(1 - \\kappa)^2 - (\\gamma_1^2 + \\gamma_2^2)}}.\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "a54d53ef", + "metadata": {}, + "source": [ + "Now," + ] + }, + { + "cell_type": "markdown", + "id": "2a84f0cb", + "metadata": {}, + "source": [ + "$$\n", + "\\tilde{e}_\\ell = \\frac{\\tilde{e}_u + g}{1 + g^* \\cdot \\tilde{e}_u},\n", + "$$\n", + "\n", + "and all the formulas that held for unlensed ellipticity also apply here, i.e.,\n", + "\\begin{aligned}\n", + "\\text{lensed ellipticity } e_\\ell &= \\vert \\tilde{e}_\\ell \\vert = \\sqrt{e_{1\\ell}^2 + e_{2\\ell}^2} \\\\\n", + "\\tilde{e}_\\ell &= e_{1\\ell} + i e_{2\\ell} \\\\\n", + "e_{1\\ell} &= e_\\ell \\cos(2\\beta) \\\\\n", + "e_{2\\ell} &= e_\\ell \\sin(2\\beta)\n", + "\\end{aligned}" + ] + }, + { + "cell_type": "markdown", + "id": "bd653334", + "metadata": {}, + "source": [ + "We can also derive the lensed axis lengths, axis ratio, and half-light radius. We have\n", + "$$\n", + "e_\\ell = \\frac{1 - q_\\ell}{1 + q_\\ell} \\quad \\therefore \\quad q_\\ell = \\frac{1 - e_\\ell}{1 + e_\\ell},\n", + "$$\n", + "\n", + "and also\n", + "$$\n", + "\\text{hlr}_\\ell = \\text{hlr}_u \\sqrt{\\mu} \\quad \\text{ (see Buchanan 2023)}\n", + "$$\n", + "\n", + "and since $b_\\ell = q_\\ell a_\\ell$, we have\n", + "\\begin{aligned}\n", + "\\therefore\\quad \\sqrt{a_\\ell \\cdot b_\\ell} &= \\sqrt{a_u \\cdot b_u} \\sqrt{\\mu} \\\\\n", + "\\therefore\\quad a_\\ell (q_\\ell a_\\ell) &= a_u (q_u a_u) \\mu \\\\\n", + "\\therefore\\quad q_\\ell a_\\ell^2 &= q_u a_u^2 \\mu \\\\\n", + "\\therefore\\quad a_\\ell &= a_u \\sqrt{\\frac{q_u \\mu}{q_\\ell}}.\n", + "\\end{aligned}" + ] + }, + { + "cell_type": "markdown", + "id": "c793a306", + "metadata": {}, + "source": [ + "So basically, if we sample $a_u$, $\\beta$, $q_u$, $\\gamma_1$, $\\gamma_2$, and $\\kappa$ from the prior, we can then compute\n", + "\n", + "- $e_u$\n", + "- $e_{1u}$ and $e_{2u}$\n", + "- $\\tilde{e}_u$\n", + "- $\\tilde{\\gamma}$\n", + "- $g$\n", + "- $\\mu$\n", + "- $\\tilde{e}_\\ell$\n", + "- $e_\\ell$\n", + "- $q_\\ell$\n", + "- $a_\\ell$\n", + "- $b_\\ell$\n", + "\n", + "and pass $a_\\ell$, $b_\\ell$, and $q_\\ell$ into the decoder without needing to change its current functionality." + ] + }, + { + "cell_type": "markdown", + "id": "ba23c609", + "metadata": {}, + "source": [ + "We'll perform the above calculations for the disk:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "a19a2a78", + "metadata": {}, + "outputs": [], + "source": [ + "galaxy_disk_e = (1 - tile_catalog['galaxy_disk_q']) / (1 + tile_catalog['galaxy_disk_q'])\n", + "galaxy_disk_e1 = galaxy_disk_e * torch.cos(2 * tile_catalog['galaxy_beta_radians'])\n", + "galaxy_disk_e2 = galaxy_disk_e * torch.sin(2 * tile_catalog['galaxy_beta_radians'])\n", + "galaxy_disk_complex_e = galaxy_disk_e1 + galaxy_disk_e2 * 1j" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "7a7280d7", + "metadata": {}, + "outputs": [], + "source": [ + "shear1 = tile_catalog['shear'][...,0].unsqueeze(-1)\n", + "shear2 = tile_catalog['shear'][...,1].unsqueeze(-1)\n", + "convergence = tile_catalog['convergence']\n", + "\n", + "complex_shear = shear1 + shear2 * 1j\n", + "reduced_shear = complex_shear / (1.0 - convergence)\n", + "magnification = 1 / ((1 - convergence)**2 - shear1**2 - shear2**2)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "370c316a", + "metadata": {}, + "outputs": [], + "source": [ + "galaxy_disk_complex_e_lensed = (\n", + " (galaxy_disk_complex_e + reduced_shear) / (1.0 + reduced_shear.conj() * galaxy_disk_complex_e)\n", + ")\n", + "galaxy_disk_e_lensed = galaxy_disk_complex_e_lensed.absolute()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "9020569c", + "metadata": {}, + "outputs": [], + "source": [ + "galaxy_disk_e1_lensed = torch.view_as_real(galaxy_disk_complex_e_lensed)[...,0]\n", + "galaxy_disk_e2_lensed = torch.view_as_real(galaxy_disk_complex_e_lensed)[...,1]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "2e984609", + "metadata": {}, + "outputs": [], + "source": [ + "galaxy_disk_q_lensed = (1 - galaxy_disk_e_lensed) / (1 + galaxy_disk_e_lensed)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "aede7365", + "metadata": {}, + "outputs": [], + "source": [ + "galaxy_disk_a_lensed = tile_catalog['galaxy_a_d'] * (\n", + " tile_catalog['galaxy_disk_q'] * magnification / galaxy_disk_q_lensed\n", + ").sqrt()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "4ba06fee", + "metadata": {}, + "outputs": [], + "source": [ + "galaxy_disk_b_lensed = galaxy_disk_a_lensed * galaxy_disk_q_lensed" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "99325d8c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 2)\n", + "_ = ax[0,0].scatter(galaxy_disk_e1, galaxy_disk_e1_lensed, alpha = 0.1)\n", + "_ = ax[0,0].set_xlabel('unlensed e1')\n", + "_ = ax[0,0].set_ylabel('lensed e1')\n", + "_ = ax[0,1].scatter(galaxy_disk_e2, galaxy_disk_e2_lensed, alpha = 0.1)\n", + "_ = ax[0,1].set_xlabel('unlensed e2')\n", + "_ = ax[0,1].set_ylabel('lensed e2')\n", + "_ = ax[1,0].scatter(tile_catalog['galaxy_disk_q'], galaxy_disk_q_lensed, alpha = 0.1)\n", + "_ = ax[1,0].set_xlabel('unlensed q')\n", + "_ = ax[1,0].set_ylabel('lensed q')\n", + "_ = ax[1,1].scatter(tile_catalog['galaxy_a_d'], galaxy_disk_a_lensed, alpha = 0.1)\n", + "_ = ax[1,1].set_xlabel('unlensed q')\n", + "_ = ax[1,1].set_ylabel('lensed q')\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "id": "d49583e2", + "metadata": {}, + "source": [ + "We repeat the above calculations for the bulge:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "25170237", + "metadata": {}, + "outputs": [], + "source": [ + "galaxy_bulge_e = (1 - tile_catalog['galaxy_bulge_q']) / (1 + tile_catalog['galaxy_bulge_q'])\n", + "galaxy_bulge_e1 = galaxy_bulge_e * torch.cos(2 * tile_catalog['galaxy_beta_radians'])\n", + "galaxy_bulge_e2 = galaxy_bulge_e * torch.sin(2 * tile_catalog['galaxy_beta_radians'])\n", + "galaxy_bulge_complex_e = galaxy_bulge_e1 + galaxy_bulge_e2 * 1j\n", + "\n", + "galaxy_bulge_complex_e_lensed = (\n", + " (galaxy_bulge_complex_e + reduced_shear) / (1.0 + reduced_shear.conj() * galaxy_bulge_complex_e)\n", + ")\n", + "galaxy_bulge_e_lensed = galaxy_bulge_complex_e_lensed.absolute()\n", + "\n", + "galaxy_bulge_e1_lensed = torch.view_as_real(galaxy_bulge_complex_e_lensed)[...,0]\n", + "galaxy_bulge_e2_lensed = torch.view_as_real(galaxy_bulge_complex_e_lensed)[...,1]\n", + "\n", + "galaxy_bulge_q_lensed = (1 - galaxy_bulge_e_lensed) / (1 + galaxy_bulge_e_lensed)\n", + "\n", + "galaxy_bulge_a_lensed = tile_catalog['galaxy_a_b'] * (\n", + " tile_catalog['galaxy_bulge_q'] * magnification / galaxy_bulge_q_lensed\n", + ").sqrt()\n", + "\n", + "galaxy_bulge_b_lensed = galaxy_bulge_a_lensed * galaxy_bulge_q_lensed" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "376f703e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 2)\n", + "_ = ax[0,0].scatter(galaxy_bulge_e1, galaxy_bulge_e1_lensed, alpha = 0.1)\n", + "_ = ax[0,0].set_xlabel('unlensed e1')\n", + "_ = ax[0,0].set_ylabel('lensed e1')\n", + "_ = ax[0,1].scatter(galaxy_bulge_e2, galaxy_bulge_e2_lensed, alpha = 0.1)\n", + "_ = ax[0,1].set_xlabel('unlensed e2')\n", + "_ = ax[0,1].set_ylabel('lensed e2')\n", + "_ = ax[1,0].scatter(tile_catalog['galaxy_bulge_q'], galaxy_bulge_q_lensed, alpha = 0.1)\n", + "_ = ax[1,0].set_xlabel('unlensed q')\n", + "_ = ax[1,0].set_ylabel('lensed q')\n", + "_ = ax[1,1].scatter(tile_catalog['galaxy_a_b'], galaxy_bulge_a_lensed, alpha = 0.1)\n", + "_ = ax[1,1].set_xlabel('unlensed q')\n", + "_ = ax[1,1].set_ylabel('lensed q')\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "id": "df0f1681", + "metadata": {}, + "source": [ + "We add $a_\\ell$ and $q_\\ell$ to the tile catalog for both the disk and the bulge:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "3fd25336", + "metadata": {}, + "outputs": [], + "source": [ + "tile_catalog['galaxy_a_d'] = galaxy_disk_a_lensed\n", + "tile_catalog['galaxy_a_b'] = galaxy_bulge_a_lensed\n", + "tile_catalog['galaxy_disk_q'] = galaxy_disk_q_lensed\n", + "tile_catalog['galaxy_bulge_q'] = galaxy_bulge_q_lensed" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "25bf7e5b", + "metadata": {}, + "outputs": [], + "source": [ + "with initialize(config_path=\"../../\", version_base=None):\n", + " cfg = compose(\"lensing_config\",\n", + " overrides = {\"prior.batch_size=1\",\n", + " \"prior.n_tiles_h=1\",\n", + " \"prior.n_tiles_w=1\",\n", + " \"prior.max_sources=200\",\n", + " \"prior.constant_shear=0.2\",\n", + " \"prior.constant_convergence=0.2\",\n", + " \"generate.tiles_to_crop=0\",\n", + " \"decoder._target_=bliss.simulator.decoder.Decoder\",\n", + " \"decoder.tile_slen=256\",\n", + " \"decoder.use_survey_background=false\",\n", + " \"decoder.with_dither=false\",\n", + " \"decoder.with_noise=false\"})\n", + "\n", + "decoder = instantiate(cfg.decoder)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "24e09842", + "metadata": {}, + "outputs": [], + "source": [ + "image2, psf_params = decoder.render_images(tile_catalog)\n", + "\n", + "ttc = cfg.generate.tiles_to_crop\n", + "ptc = ttc * decoder.tile_slen # pixels to crop\n", + "if ptc > 0:\n", + " image2 = image2[:, :, ptc:-ptc, ptc:-ptc]" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "0e67c456", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "band = 2\n", + "_ = plt.imshow((image2[0,band] - image2[0,band].min() + 1).log())\n", + "_ = plt.colorbar()" + ] + }, + { + "cell_type": "markdown", + "id": "7475db59", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "id": "5485a7bc", + "metadata": {}, + "source": [ + "We compare the pixel intensities of the two images produced using the two lensing methods (`GalSim.lens()` on the x-axis vs manual lensing on the y-axis). It appears that our manual approach does not exactly match `GalSim.lens()`." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "d586b1f5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "band = 2\n", + "_ = plt.scatter(image1[0,band].flatten(), image2[0,band].flatten(), alpha = 0.1)\n", + "_ = plt.xlabel('GalSim.lens()')\n", + "_ = plt.ylabel('manual lensing')\n", + "_ = plt.axline((0,0), slope = 1, color = 'black', linestyle = '--')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}