From 48b9c0bcf3cc036a6bcf9dbc46b8a1bdcd0871e9 Mon Sep 17 00:00:00 2001 From: Ekaterina Bolotskaya Date: Tue, 24 Mar 2026 10:39:14 -0400 Subject: [PATCH 1/2] add psf plot to lens test, BPM freq fix --- diffractio/scalar_fields_XYZ.py | 14 +- diffractio/scalar_fields_XZ.py | 8 +- .../examples_advanced/scalar/lenses.ipynb | 2812 +++++++++-------- 3 files changed, 1525 insertions(+), 1309 deletions(-) diff --git a/diffractio/scalar_fields_XYZ.py b/diffractio/scalar_fields_XYZ.py index e204c95a..d90ab3e8 100755 --- a/diffractio/scalar_fields_XYZ.py +++ b/diffractio/scalar_fields_XYZ.py @@ -889,21 +889,19 @@ def BPM(self, has_edges: bool = True, pow_edge: int = 80, verbose: bool = False) numy = len(self.y) numz = len(self.z) - deltax = self.x[-1] - self.x[0] - deltay = self.y[-1] - self.y[0] + deltax = self.x[1] - self.x[0] + deltay = self.y[1] - self.y[0] deltaz = self.z[1] - self.z[0] # pixelx = np.linspace(-int(numx/2), int(numx/2), numx) # pixely = np.linspace(-numy/2, numy/2, numy) modo = self.u0.u - kx1 = np.linspace(0, int(numx/2) + 1, int(numx/2)) - kx2 = np.linspace(-int(numx/2), -1, int(numx/2)) - kx = (2 * np.pi / deltax) * np.concatenate((kx1, kx2)) + # Use fftfreq to guarantee kx has exactly numx samples. + kx = 2 * np.pi * np.fft.fftfreq(numx, d=deltax) - ky1 = np.linspace(0, numy/2 + 1, int(numy/2)) - ky2 = np.linspace(-numy/2, -1, int(numy/2)) - ky = (2 * np.pi / deltay) * np.concatenate((ky1, ky2)) + # Use fftfreq to guarantee ky has exactly numy samples. + ky = 2 * np.pi * np.fft.fftfreq(numy, d=deltay) KX, KY = np.meshgrid(kx, ky) diff --git a/diffractio/scalar_fields_XZ.py b/diffractio/scalar_fields_XZ.py index 538ab6a6..4ddb12ca 100755 --- a/diffractio/scalar_fields_XZ.py +++ b/diffractio/scalar_fields_XZ.py @@ -779,17 +779,15 @@ def __BPM__(self, numz = len(self.z) # distance en z numx = len(self.x) # distance en x deltaz = self.z[1] - self.z[0] # Tamaño del sampling - rangox = self.x[-1] - self.x[0] + deltax = self.x[1] - self.x[0] pixelx = np.linspace(-int(numx/2), int(numx/2), numx) # initial field field_z = self.u0.u # Calculo de la phase 1 normalizada ------------------- - kx1 = np.linspace(0, int(numx/2) + 1, int(numx/2)) - kx2 = np.linspace(-int(numx/2), -1, int(numx/2)) - # Número de ondas del material en una dimensión - kx = (2 * np.pi / rangox) * np.concatenate((kx1, kx2)) + # Use fftfreq to guarantee kx has exactly numx samples (odd/even-safe). + kx = 2 * np.pi * np.fft.fftfreq(numx, d=deltax) # Función de transferencia para la propagación que es identica # a la respuesta de frecuencia espacial en óptica de Fourier # incorporando el termino (-j k0 z). diff --git a/docs/source/examples_advanced/scalar/lenses.ipynb b/docs/source/examples_advanced/scalar/lenses.ipynb index d3470571..42777117 100644 --- a/docs/source/examples_advanced/scalar/lenses.ipynb +++ b/docs/source/examples_advanced/scalar/lenses.ipynb @@ -1,1360 +1,1580 @@ { - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Focusing light with a lens" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this example, we will analyze how light is focused using a lens. We will use several algorithms.\n", - "From an ondulatory point of view, a lens as a transmittance object\n", - "\n", - "$t(\\xi,\\eta)=P(\\xi,\\eta)\\exp\\left[-ik\\frac{\\left(\\xi^{2}+\\eta^{2}\\right)}{2f'}\\right]$ \n", - "\n", - "where $P(\\xi,\\eta)$ is the shape of the lens, $k=2\\pi/\\lambda$ and f' is the focal distance of the lens." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Lens in x mode" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:44.037674Z", - "start_time": "2020-05-01T22:46:41.821946Z" - } - }, - "outputs": [], - "source": [ - "from diffractio import degrees, mm, plt, sp, um, np\n", - "from diffractio.scalar_sources_X import Scalar_source_X\n", - "from diffractio.scalar_masks_X import Scalar_mask_X\n", - "from diffractio.utils_optics import beam_width_1D, FWHM1D, MTF_ideal, MTF_parameters" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:44.064892Z", - "start_time": "2020-05-01T22:46:44.047314Z" - }, - "cell_style": "center" - }, - "outputs": [], - "source": [ - "focal = 25 * mm\n", - "diameter = 4 * mm\n", - "\n", - "# Initial parameters\n", - "x0 = np.linspace(-diameter / 2 - 50 * um, diameter / 2 + 50 * um, 1024 * 32)\n", - "wavelength = 0.6238 * um\n", - "\n", - "# Definition of source\n", - "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", - "u0.plane_wave(A=1)\n", - "\n", - "t0 = Scalar_mask_X(x=x0, wavelength=wavelength)\n", - "t0.lens(x0=0.0, focal=focal, radius=diameter / 2)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:44.946499Z", - "start_time": "2020-05-01T22:46:44.818962Z" - } - }, - "outputs": [], - "source": [ - "u1 = t0 * u0\n", - "u2 = u1.RS(z=focal, verbose=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:45.151409Z", - "start_time": "2020-05-01T22:46:44.948367Z" - }, - "cell_style": "center" - }, - "outputs": [ + "cells": [ { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Focusing light with a lens" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u2.draw()\n", - "plt.xlim(-25, 25)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Beam width computation" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:45.159773Z", - "start_time": "2020-05-01T22:46:45.153298Z" - } - }, - "outputs": [], - "source": [ - "width, center = beam_width_1D(u2.u, u2.x)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:45.426519Z", - "start_time": "2020-05-01T22:46:45.162686Z" - } - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "114.7443487601409 3.6464836343948264\n" - ] + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this example, we will analyze how light is focused using a lens. We will use several algorithms.\n", + "From an ondulatory point of view, a lens as a transmittance object\n", + "\n", + "$t(\\xi,\\eta)=P(\\xi,\\eta)\\exp\\left[-ik\\frac{\\left(\\xi^{2}+\\eta^{2}\\right)}{2f'}\\right]$ \n", + "\n", + "where $P(\\xi,\\eta)$ is the shape of the lens, $k=2\\pi/\\lambda$ and f' is the focal distance of the lens." + ] }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Lens in x mode" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fwhm = FWHM1D(u2.x, np.abs(u2.u) ** 2, has_draw=True, percentage=0.5)\n", - "plt.xlim(-25, 25)\n", - "plt.ylim(bottom=0)\n", - "print(width, fwhm)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### MTF" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:45.812847Z", - "start_time": "2020-05-01T22:46:45.429254Z" - } - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "frequency cut = 256.49 lines/mm\n" - ] + "cell_type": "code", + "execution_count": 41, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:44.037674Z", + "start_time": "2020-05-01T22:46:41.821946Z" + } + }, + "outputs": [], + "source": [ + "from diffractio import degrees, mm, plt, sp, um, np\n", + "from diffractio.scalar_sources_X import Scalar_source_X\n", + "from diffractio.scalar_masks_X import Scalar_mask_X\n", + "from diffractio.utils_optics import beam_width_1D, FWHM1D, MTF_ideal, MTF_parameters" + ] }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 42, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:44.064892Z", + "start_time": "2020-05-01T22:46:44.047314Z" + }, + "cell_style": "center" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1. , 0.99987793, 0.99975587, ..., 0.99975587, 0.99987793,\n", + " 1. ])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "focal = 25 * mm\n", + "diameter = 4 * mm\n", + "\n", + "# Initial parameters\n", + "x0 = np.linspace(-diameter / 2 - 50 * um, diameter / 2 + 50 * um, 1024 * 32)\n", + "wavelength = 0.6238 * um\n", + "\n", + "# Definition of source\n", + "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", + "u0.plane_wave(A=1)\n", + "\n", + "t0 = Scalar_mask_X(x=x0, wavelength=wavelength)\n", + "t0.lens(x0=0.0, focal=focal, radius=diameter / 2)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "frequencies = np.linspace(0, 350, 600)\n", - "\n", - "\n", - "mtf_ideal, freq_corte = MTF_ideal(\n", - " frequencies=frequencies,\n", - " wavelength=wavelength,\n", - " diameter=diameter,\n", - " focal=focal,\n", - " kind=\"1D\",\n", - " has_draw=False,\n", - " verbose=True,\n", - ")\n", - "\n", - "\n", - "freq_real, mtf_norm = u2.MTF(frequencies=frequencies, has_draw=True)\n", - "\n", - "plt.plot(frequencies, mtf_ideal, \"k-.\", label=\"ideal\")\n", - "\n", - "\n", - "plt.legend(fontsize=16)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Several rays" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:45.835519Z", - "start_time": "2020-05-01T22:46:45.814883Z" - } - }, - "outputs": [], - "source": [ - "# Definition of source\n", - "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", - "u0.plane_waves_several_inclined(A=1, num_beams=7, max_angle=10 * degrees)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:45.942896Z", - "start_time": "2020-05-01T22:46:45.837418Z" - } - }, - "outputs": [], - "source": [ - "us1 = t0 * u0\n", - "us2 = us1.RS(z=focal, verbose=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:46.188566Z", - "start_time": "2020-05-01T22:46:45.944636Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 43, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:44.946499Z", + "start_time": "2020-05-01T22:46:44.818962Z" + } + }, + "outputs": [], + "source": [ + "u1 = t0 * u0\n", + "u2 = u1.RS(z=focal, verbose=False)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "us2.draw()" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:46.414535Z", - "start_time": "2020-05-01T22:46:46.190618Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 44, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:45.151409Z", + "start_time": "2020-05-01T22:46:44.948367Z" + }, + "cell_style": "center" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-25.0, 25.0)" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u2.draw()\n", + "plt.xlim(-25, 25)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "us2.draw()\n", - "plt.xlim(-40, 40)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:46.648316Z", - "start_time": "2020-05-01T22:46:46.416405Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Beam width computation" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "us2.draw()\n", - "plt.xlim(1800, 1950)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Binary Fresnel lens" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With the modules diffractio.scalar_sources_X, scalar_fields_X and scalar_masks_X for propagating a field generated by a scalar light only the propagation to a given distances is performed. If you need to visualize the z propagation it is better the use of `diffractio.scalar_fields_XZ`, since it performs a for loop over a number of distances given by a linspace array. This for loop is executed, when possible, using multiprocessing, since there is not computational interaction between different locations z. " - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:46.656310Z", - "start_time": "2020-05-01T22:46:46.650331Z" - } - }, - "outputs": [], - "source": [ - "# initial data\n", - "x0 = np.linspace(-750 * um, 750 * um, 1024 * 32)\n", - "wavelength = 0.6238 * um\n", - "focal = 20 * mm\n", - "radius = 250 * um\n", - "\n", - "# definition of source\n", - "u0 = Scalar_source_X(x0, wavelength)\n", - "u0.plane_wave(A=1, theta=0 * degrees)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:46.899406Z", - "start_time": "2020-05-01T22:46:46.658404Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 45, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:45.159773Z", + "start_time": "2020-05-01T22:46:45.153298Z" + } + }, + "outputs": [], + "source": [ + "width, center = beam_width_1D(u2.u, u2.x)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# definition of mask\n", - "t0 = Scalar_mask_X(x0, wavelength)\n", - "t0.fresnel_lens(x0=0 * um, radius=radius, focal=focal, kind=\"amplitude\", phase=np.pi)\n", - "t0.draw(kind=\"intensity\")" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:47.017048Z", - "start_time": "2020-05-01T22:46:46.901789Z" - } - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "Good result: factor 179.85\n" - ] - } - ], - "source": [ - "u1 = t0.RS(z=20 * mm)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:47.276776Z", - "start_time": "2020-05-01T22:46:47.019067Z" - } - }, - "outputs": [ + "cell_type": "code", + "execution_count": 46, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:45.426519Z", + "start_time": "2020-05-01T22:46:45.162686Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "114.7443487601409 3.6464836343948264\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fwhm = FWHM1D(u2.x, np.abs(u2.u) ** 2, has_draw=True, percentage=0.5)\n", + "plt.xlim(-25, 25)\n", + "plt.ylim(bottom=0)\n", + "print(width, fwhm)" + ] + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### MTF" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u1.draw(logarithm=1, normalize=\"intensity\")\n", - "plt.xlim(-200, 200)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## XZ lens: CZT scheme" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:47.290399Z", - "start_time": "2020-05-01T22:46:47.278985Z" - } - }, - "outputs": [], - "source": [ - "from diffractio import degrees, mm, plt, sp, um, np\n", - "from diffractio.scalar_sources_X import Scalar_source_X\n", - "from diffractio.scalar_masks_X import Scalar_mask_X\n", - "from diffractio.scalar_masks_XZ import Scalar_mask_XZ" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:47.299536Z", - "start_time": "2020-05-01T22:46:47.292149Z" - } - }, - "outputs": [], - "source": [ - "focal = 15 * mm\n", - "diameter = 4 * mm\n", - "\n", - "x0 = np.linspace(-diameter / 2, diameter / 2, 1024)\n", - "wavelength = 0.6238 * um\n", - "\n", - "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", - "u0.plane_wave(A=1, theta=0 * degrees)\n", - "\n", - "t0 = Scalar_mask_X(x=x0, wavelength=wavelength)\n", - "t0.lens(x0=0.0, radius=diameter / 2, focal=focal)\n", - "\n", - "u1 = u0 * t0" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [], - "source": [ - "z0 = np.linspace(14.8 * mm, 15.2 * mm, 512)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:50.150708Z", - "start_time": "2020-05-01T22:46:47.301780Z" - } - }, - "source": [ - "This procedure is deprecated. It is more ineficient than with CZT algorithm.\n", - "\n", - "It requires plt.xlim(-20,20) after drawing. The drawing is badly sampled.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 163 ms, sys: 4.12 ms, total: 167 ms\n", - "Wall time: 167 ms\n" - ] - } - ], - "source": [ - "%%time\n", - "u2 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", - "u2.incident_field(u1)\n", - "u2.RS(num_processors=1);" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ + "cell_type": "code", + "execution_count": 47, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:45.812847Z", + "start_time": "2020-05-01T22:46:45.429254Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "frequency cut = 256.49 lines/mm\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "frequencies = np.linspace(0, 350, 600)\n", + "\n", + "\n", + "mtf_ideal, freq_corte = MTF_ideal(\n", + " frequencies=frequencies,\n", + " wavelength=wavelength,\n", + " diameter=diameter,\n", + " focal=focal,\n", + " kind=\"1D\",\n", + " has_draw=False,\n", + " verbose=True,\n", + ")\n", + "\n", + "\n", + "mtf_norm = u2.MTF(frequencies=frequencies, has_draw=True)\n", + "\n", + "plt.plot(frequencies, mtf_ideal, \"k-.\", label=\"ideal\")\n", + "\n", + "\n", + "plt.legend(fontsize=16)" + ] + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 287 ms, sys: 1.92 ms, total: 289 ms\n", - "Wall time: 289 ms\n" - ] - } - ], - "source": [ - "%%time\n", - "xout=np.linspace(-20,20,256)\n", - "u2 = u1.CZT(z=z0, xout=xout)" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:50.731947Z", - "start_time": "2020-05-01T22:46:50.156598Z" - } - }, - "outputs": [ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Several rays" + ] + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 48, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:45.835519Z", + "start_time": "2020-05-01T22:46:45.814883Z" + } + }, + "outputs": [], + "source": [ + "# Definition of source\n", + "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", + "u0.plane_waves_several_inclined(A=1, num_beams=7, max_angle=10 * degrees)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u2.draw(logarithm=1e-1, z_scale=\"mm\")" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:50.769549Z", - "start_time": "2020-05-01T22:46:50.737395Z" - } - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = -0.078 um, z = 14944.031 um\n" - ] - } - ], - "source": [ - "x_f, z_f = u2.search_focus()" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:51.064107Z", - "start_time": "2020-05-01T22:46:50.775659Z" - } - }, - "outputs": [ + "cell_type": "code", + "execution_count": 49, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:45.942896Z", + "start_time": "2020-05-01T22:46:45.837418Z" + } + }, + "outputs": [], + "source": [ + "us1 = t0 * u0\n", + "us2 = us1.RS(z=focal, verbose=False)" + ] + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 50, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:46.188566Z", + "start_time": "2020-05-01T22:46:45.944636Z" + } + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "us2.draw()" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u2.profile_transversal(z0=z_f)\n", - "plt.xlim(-30, 30)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### XZ lens: BPM scheme" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:52.620281Z", - "start_time": "2020-05-01T22:46:51.066323Z" - } - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "951.2850019179132\n" - ] + "cell_type": "code", + "execution_count": 51, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:46.414535Z", + "start_time": "2020-05-01T22:46:46.190618Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-40.0, 40.0)" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "us2.draw()\n", + "plt.xlim(-40, 40)" + ] }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 52, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:46.648316Z", + "start_time": "2020-05-01T22:46:46.416405Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(1800.0, 1950.0)" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "us2.draw()\n", + "plt.xlim(1800, 1950)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "focal = 1 * mm\n", - "diameter = 1 * mm\n", - "\n", - "x0 = np.linspace(-diameter / 2, diameter / 2, 1024 * 4)\n", - "z0 = np.linspace(-250 * um, focal + 2 * mm, 1024)\n", - "wavelength = 0.6238 * um\n", - "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", - "u0.plane_wave(A=1, theta=0 * degrees)\n", - "u1 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", - "u1.incident_field(u0)\n", - "focal, _ = u1.lens(\n", - " r0=(0 * um, 0 * um),\n", - " size=diameter / 1.25,\n", - " radii=(1 * mm, -1 * mm),\n", - " thickness=0.25 * mm,\n", - " refractive_index=1.55,\n", - " angle=0 * degrees,\n", - " mask=(100 * um, 3 + 0.1j),\n", - ")\n", - "print(focal)\n", - "u1.draw_refractive_index()\n", - "u1.surface_detection()\n", - "edge_matrix = u1.borders\n", - "\n", - "u1.smooth_refractive_index(type_filter=2, pixels_filtering=50)\n", - "u1.borders = edge_matrix" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:54.184357Z", - "start_time": "2020-05-01T22:46:52.622628Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Binary Fresnel lens" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u1.BPM(verbose=False)\n", - "u1.draw(logarithm=True, normalize=\"maximum\", draw_borders=True, edge_matrix=edge_matrix)" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:54.271265Z", - "start_time": "2020-05-01T22:46:54.187073Z" - } - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = -0.122 um, z = 1062.072 um\n" - ] - } - ], - "source": [ - "x_focus, z_focus = u1.search_focus()" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:54.965935Z", - "start_time": "2020-05-01T22:46:54.273600Z" - } - }, - "outputs": [], - "source": [ - "width, z_center = u1.beam_widths(kind=\"sigma4\", has_draw=(0, 0))" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:55.177363Z", - "start_time": "2020-05-01T22:46:54.967848Z" - } - }, - "outputs": [ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the modules diffractio.scalar_sources_X, scalar_fields_X and scalar_masks_X for propagating a field generated by a scalar light only the propagation to a given distances is performed. If you need to visualize the z propagation it is better the use of `diffractio.scalar_fields_XZ`, since it performs a for loop over a number of distances given by a linspace array. This for loop is executed, when possible, using multiprocessing, since there is not computational interaction between different locations z. " + ] + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 53, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:46.656310Z", + "start_time": "2020-05-01T22:46:46.650331Z" + } + }, + "outputs": [], + "source": [ + "# initial data\n", + "x0 = np.linspace(-750 * um, 750 * um, 1024 * 32)\n", + "wavelength = 0.6238 * um\n", + "focal = 20 * mm\n", + "radius = 250 * um\n", + "\n", + "# definition of source\n", + "u0 = Scalar_source_X(x0, wavelength)\n", + "u0.plane_wave(A=1, theta=0 * degrees)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(u1.z, width, \"k\")\n", - "plt.plot(u1.z, -width, \"k\")\n", - "plt.xlim(z_focus - 200 * um, z_focus + 250 * um)\n", - "plt.ylim(-200, 200)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Effect of rotation" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:55.185515Z", - "start_time": "2020-05-01T22:46:55.179574Z" - } - }, - "outputs": [], - "source": [ - "x0 = np.linspace(-200 * um, 200 * um, 1024 * 2)\n", - "z0 = np.linspace(-50 * um, 400 * um, 1024 * 4)\n", - "wavelength = 0.6238 * um\n", - "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", - "u0.plane_wave(A=1, theta=0 * degrees)" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:46:59.020585Z", - "start_time": "2020-05-01T22:46:55.187604Z" - } - }, - "outputs": [ + }, { - "name": "stderr", - "output_type": "stream", - "text": [ - ":1: RuntimeWarning: invalid value encountered in sqrt\n" - ] + "cell_type": "code", + "execution_count": 54, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:46.899406Z", + "start_time": "2020-05-01T22:46:46.658404Z" + } + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# definition of mask\n", + "t0 = Scalar_mask_X(x0, wavelength)\n", + "t0.fresnel_lens(x0=0 * um, radius=radius, focal=focal, kind=\"amplitude\", phase=np.pi)\n", + "t0.draw(kind=\"intensity\")" + ] }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "208.33333333333331\n" - ] + "cell_type": "code", + "execution_count": 55, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:47.017048Z", + "start_time": "2020-05-01T22:46:46.901789Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Good result: factor 179.85\n" + ] + } + ], + "source": [ + "u1 = t0.RS(z=20 * mm)" + ] }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 56, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:47.276776Z", + "start_time": "2020-05-01T22:46:47.019067Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-200.0, 200.0)" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u1.draw(logarithm=1, normalize=\"intensity\")\n", + "plt.xlim(-200, 200)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u1 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", - "u1.incident_field(u0)\n", - "focal, _ = u1.lens(\n", - " r0=(0 * um, 0 * um),\n", - " size=300 * um,\n", - " radii=(1000 * um, -250 * um),\n", - " thickness=100 * um,\n", - " refractive_index=2,\n", - " angle=15 * degrees,\n", - " mask=(10 * um, 3 + 0.05j),\n", - ")\n", - "print(focal)\n", - "u1.surface_detection()\n", - "u1.draw_refractive_index(scale=\"scaled\")\n", - "edge_matrix = u1.borders\n", - "\n", - "u1.smooth_refractive_index(pixels_filtering=25, type_filter=2)" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:01.898564Z", - "start_time": "2020-05-01T22:46:59.022617Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## XZ lens: CZT scheme" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u1.BPM(has_edges=True, verbose=False)\n", - "u1.draw(\n", - " logarithm=True,\n", - " normalize=\"maximum\",\n", - " draw_borders=True,\n", - " scale=\"scaled\",\n", - " edge_matrix=edge_matrix,\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we see how several rays converge" - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:02.301124Z", - "start_time": "2020-05-01T22:47:02.294010Z" - } - }, - "outputs": [], - "source": [ - "x0 = np.linspace(-200 * um, 200 * um, 1024 * 1)\n", - "z0 = np.linspace(-25 * um, 400 * um, 1024 * 4)\n", - "wavelength = 0.6238 * um\n", - "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", - "u0.gauss_beams_several_parallel(\n", - " A=1, num_beams=15, w0=5, z0=10, x_central=0.0, x_range=300.0, theta=0.0\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:03.611511Z", - "start_time": "2020-05-01T22:47:02.303653Z" - } - }, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "208.33333333333331\n" - ] + "cell_type": "code", + "execution_count": 1, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:47.290399Z", + "start_time": "2020-05-01T22:46:47.278985Z" + } + }, + "outputs": [], + "source": [ + "from diffractio import degrees, mm, plt, sp, um, np\n", + "from diffractio.scalar_sources_X import Scalar_source_X\n", + "from diffractio.scalar_masks_X import Scalar_mask_X\n", + "from diffractio.scalar_masks_XZ import Scalar_mask_XZ" + ] }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 2, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:47.299536Z", + "start_time": "2020-05-01T22:46:47.292149Z" + } + }, + "outputs": [], + "source": [ + "focal = 15 * mm\n", + "diameter = 4 * mm\n", + "\n", + "x0 = np.linspace(-diameter / 2, diameter / 2, 1024)\n", + "wavelength = 0.6238 * um\n", + "\n", + "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", + "u0.plane_wave(A=1, theta=0 * degrees)\n", + "\n", + "t0 = Scalar_mask_X(x=x0, wavelength=wavelength)\n", + "t0.lens(x0=0.0, radius=diameter / 2, focal=focal)\n", + "\n", + "u1 = u0 * t0" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u1 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", - "u1.incident_field(u0)\n", - "focal, _ = u1.lens(\n", - " r0=(0 * um, 0 * um),\n", - " size=300 * um,\n", - " radii=(1000 * um, -250 * um),\n", - " thickness=100 * um,\n", - " refractive_index=2,\n", - " angle=0 * degrees,\n", - " mask=(10 * um, 3 + 0.05j),\n", - ")\n", - "print(focal)\n", - "u1.surface_detection()\n", - "u1.draw_refractive_index(scale=\"scaled\")\n", - "edge_matrix = u1.borders\n", - "\n", - "u1.smooth_refractive_index(pixels_filtering=25, type_filter=2)" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:05.255725Z", - "start_time": "2020-05-01T22:47:03.613814Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "z0 = np.linspace(14.8 * mm, 15.2 * mm, 512)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u1.BPM(verbose=False)\n", - "u1.draw(\n", - " logarithm=True,\n", - " normalize=\"maximum\",\n", - " draw_borders=True,\n", - " scale=\"scaled\",\n", - " edge_matrix=edge_matrix\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### XY scheme" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:05.338961Z", - "start_time": "2020-05-01T22:47:05.257703Z" - } - }, - "outputs": [], - "source": [ - "from diffractio import mm, plt, um, np\n", - "from diffractio.scalar_masks_XY import Scalar_mask_XY\n", - "from diffractio.scalar_sources_XY import Scalar_source_XY" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:05.356366Z", - "start_time": "2020-05-01T22:47:05.345070Z" - } - }, - "outputs": [], - "source": [ - "diameter = 2 * mm\n", - "focal = 25 * mm\n", - "\n", - "x0 = np.linspace(-diameter / 2, diameter / 2, 1024)\n", - "y0 = np.linspace(-diameter / 2, diameter / 2, 1024)\n", - "wavelength = 0.6238 * um" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:05.647505Z", - "start_time": "2020-05-01T22:47:05.362495Z" - } - }, - "outputs": [], - "source": [ - "u0 = Scalar_source_XY(x=x0, y=y0, wavelength=wavelength)\n", - "u0.plane_wave()\n", - "\n", - "t0 = Scalar_mask_XY(x=x0, y=y0, wavelength=wavelength)\n", - "t0.lens(r0=(0 * um, 0 * um), radius=(diameter / 2, diameter / 2), focal=(focal, focal))" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:06.885637Z", - "start_time": "2020-05-01T22:47:05.649561Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "markdown", + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:50.150708Z", + "start_time": "2020-05-01T22:46:47.301780Z" + } + }, + "source": [ + "This procedure is deprecated. It is more ineficient than with CZT algorithm.\n", + "\n", + "It requires plt.xlim(-20,20) after drawing. The drawing is badly sampled.\n" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t0.draw(\"phase\", percentage_intensity=0.01)" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:06.902752Z", - "start_time": "2020-05-01T22:47:06.887642Z" - } - }, - "outputs": [], - "source": [ - "u1 = u0 * t0" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:09.669324Z", - "start_time": "2020-05-01T22:47:06.904673Z" - } - }, - "outputs": [], - "source": [ - "u2 = u1.RS(z=focal)" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:10.533686Z", - "start_time": "2020-05-01T22:47:10.067511Z" - } - }, - "outputs": [], - "source": [ - "u2.cut_resample(\n", - " x_limits=(-20, 20),\n", - " y_limits=(-20, 20),\n", - " num_points=(1024, 1024),\n", - " new_field=False,\n", - " interp_kind=(3, 1),\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:10.907883Z", - "start_time": "2020-05-01T22:47:10.535370Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: total: 625 ms\n", + "Wall time: 710 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "u2 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", + "u2.incident_field(u1)\n", + "u2.RS(num_processors=1);" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u2.draw(logarithm=1e-2)" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:11.201471Z", - "start_time": "2020-05-01T22:47:10.910313Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: total: 688 ms\n", + "Wall time: 783 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "xout=np.linspace(-20,20,256)\n", + "u2 = u1.CZT(z=z0, xout=xout)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u2.draw_profile(\n", - " point1=(-25, 0), point2=(25, 0), npixels=2048, kind=\"intensity\", order=2\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:11.209152Z", - "start_time": "2020-05-01T22:47:11.203338Z" - } - }, - "outputs": [], - "source": [ - "def intensity_area(u, r0, radius, power=1, has_draw=True):\n", - " intensities = np.zeros_like(radius)\n", - " mask = Scalar_mask_XY(x=x0, y=y0, wavelength=wavelength)\n", - "\n", - " for i, r in enumerate(radius):\n", - " mask.circle(r0=r0, radius=(r, r), angle=0)\n", - " masked_field = u * mask\n", - " intensities[i] = masked_field.intensity().sum() ** power\n", - "\n", - " intensities = intensities / intensities.max()\n", - " if has_draw is True:\n", - " plt.figure()\n", - " plt.plot(rs, intensities)\n", - " plt.ylim(bottom=0)\n", - " plt.xlim(left=0, right=rs[-1])\n", - " return intensities" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": { - "ExecuteTime": { - "end_time": "2020-05-01T22:47:12.520585Z", - "start_time": "2020-05-01T22:47:11.211144Z" - } - }, - "outputs": [ + }, { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAE1CAYAAACodpTTAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAALiQAAC4kBN8nLrQAAK/NJREFUeJzt3XtclFXiBvAHEESuIqKIDCCMoDOgqIjl3dzMzTWNH5Y3RGXKisxtq9222mrLandzdysj1wRvUW4aZVTmpZLUVC7eUFAUEWG4qdyG+2Xm/P6oZiMvgzrDOzM838+HTw6choeDM4/vzPueYyOEECAiIpKYrdQBiIiIABYSERGZCRYSERGZBRYSERGZBRYSERGZBRYSERGZhR5SfnM3Nzf4+vpKGYGIiIxArVZDo9Hc1n1IWki+vr7Izc2VMgIRERmBQqG47fvgS3ZERGQWWEhERGQWWEhERGQWWEhERGQWWEhERGQWWEhERGQWWEhERGQWWEhERGQWOlVIK1asgK+vL3r0uP51tGlpaVAqlZDL5VCpVNBqtUYLSURE1q9ThTRnzhxkZWVd9+s6nQ4qlQrbtm1Dfn4+NBoNkpOTjRaSiIisX6eWDho/fvwNv56ZmQkfHx/90hFxcXFISEhAbGzs7SckIiKzIYRAXUs7ymubUVbbjPLaJpTVNhvlvo2ylp1arYZMJtPf9vPzQ3Fx8VXjEhISkJCQoL9dXV1tjG9PRERG1NymRVFVIy5WNuJiZQMuVjaisLIBpTVNKK9tRkPr1W/JOBnh+xqlkIQQnRoXHx+P+Ph4/W1jLMZHRES3pqaxFWcr6pFXUYez5XU4d6kOFysbrzrisbO1ga9HL/h69EK4zAMD3B3h7e6o/6+3myMmpN5+HqMUkkwm63BEVFRUxG0liIjMhFYnUHC5HifUtThdpsHZijrkldfhUl2LfoydrQ0CPJ2g9HHHvWEDEODpBH9PZ/h7OsGndy/Y25n+pGyjFFJERATUajVyc3OhUCiQlJSEqKgoY9w1ERHdBCEEiquacEJdg2x1DU6oa5FTUqt/mc3GBvDr44Rhvr0R4u2C4P6uCPF2xaC+zujZw07S7J0qpGXLluGrr76CVquFr68vZs2ahSVLluDFF1/Ejh07YGdnh8TERERHR6OlpQWTJk1CTEyMqbMTEXV7Wp3A6TIN0i9UIb2gEpmFVahubNN/PbCvM+5W9Mcw394YLnPH0AFucHKQdCu867IRnX0DyAQUCgU36CMiuglanUBOaS0OF1QivaAKGYVVqGtuBwD0drJHZEAfjPDzwHBfd4T6usPN0b5Lchnj+dw8a5KIiPQq61vw/dnL2Jt3GfvPXUbNT0dAns4OmDC4L8YM8sSYwD4I7ucKW1sbidPeOhYSEZGZ0ekEsktqsffMJaSdvYxsdQ2EAHrZ22GcvC8mBffFnUGeCPJygY2N5RbQr7GQiIjMQLtWh4wLVfjqZBl25ZTjSn0rACDIyxlLxw3ClJB+GD3IQ/ITD0yJhUREJJFfltDOU+WobGiFna0NxgZ5YpqiPyaH9IOsjzEuObUMLCQioi4khEDWxWpsP1ZyVQnNCBuAaUpv9HF2kDqmJFhIRERdoLSmCZ8eVeOTI2oUVjayhK6BhUREZCLNbVrsyinHJ0fUOJB/BUIAQ7xd8ZffKTAr3Ad9XXpKHdGssJCIiIzsXEUdNh+6iO3HS1DX3I7eTvaIvTMA0aN8ofRxs6oz44yJhUREZARancA3pyuw+VAhfsivhI0NMCWkH+aM8sVdQ/tZ9dlxxsJCIiK6DdUNrfg4qxgfHLqIkpomuPeyx7KJgVh4h3+3OkPOGFhIRES3IP9SHdbtu4Dtx0vQ0q7DEG9X/C0qDLPCB6KXA4+GbgULiYjoJhwrqsaatPPYnVsBO1sb3KPsj9g7AxA5qA/fG7pNLCQiIgOEENh/7grWpJ3HoYJK9Oxhi9g7/aGaEMiX5YyIhUREdB1ancDOU+VY830+TpVo4ObYA8vvkiN2bABP2TYBFhIR0a/odAI7TpXh33vO4vzlBvRz7Ynn7h2C+WP84dKTT5umwpklIvqJEALfnbmEVbvP4nSZBj7ujnj9/jD836iBPG27C7CQiIgA/JB/Bat25+FYUQ36uvTEyzMVmDfGj0XUhVhIRNStHblYhVW7zuJQQSXce9njT9OHIHasv9lu823NOONE1C1drGzA374+g69PlcOlZw+smDoYcRMGddmW33Q1FhIRdSu1TW1497tz2HiwEEIAS8cNwuN3ybnathlgIRFRt9Cm1eGj9CK89c1ZVDe2YZqiP5797RAEerlIHY1+wkIiIqv285lzr+04jYLLDVD6uOG9BaNwZ5Cn1NHoV1hIRGS1LlY24MXPc/D92cvo79YTq+YMR9SIgbC15RI/5oiFRERWp6Vdi3X7CrD6u3wIASy/S45HJwfxzDkzx98OEVmVQ+cr8cL2kzh/uQFjgzzx6uxQBPF9IovAQiIiq3ClvgWv7ziNT4+WoK+LA956MByzwn24ArcFYSERkUUTQuDjzGK88fUZaJrbsGCMH/54zxC4O/F6IkvDQiIii6WubsSzKSdxIP8Khg5ww4b7R2Okn4fUsegWsZCIyOIIIfBRRhFe/+o0WrU6PHNPCJZNDEQPO1upo9FtYCERkUX55VFR2EB3rJozHCHerlLHIiNgIRGRRRBCYEtGMV7fcRot7Vo8PS0YyyYFwZ5HRVaDhUREZq+0pgl/SsnG/nNXEDrQDavmDMcQbzepY5GRsZCIyKx9mV2K5z49iaY2LZ66OxiPTOZRkbViIRGRWaprbsPLqblIOapGkJcz3p47AqED3aWORSbEQiIis3PkYjWe/Pg4iqoaEXOHP567dyh6OXDnVmvHQiIis9Gu1eHdvflY/V0+eveyR1JsBKYO7S91LOoiLCQiMgtFlY34/cfHcLSoBpNDvPBm9HB4ufaUOhZ1IRYSEUlu56lyPLPtBFq1Ovz1PiUW3enPNei6IRYSEUmmTavDP3aewbr9FxDo5Yw1C0bxItdujIVERJIor23G4x8dRdbFaswYNgB//79hcOnJp6TujL99IupyP+RfwRNbjkHT3MaX6EiPhUREXUanE0jYm49/fXMWA9wcsXXZnRjB1bnpJywkIuoSNY2t+P3Hx5GWdxmTgr3w1oPh8HB2kDoWmREWEhGZ3OkyDR7+IAvq6ib84e5gPD5FDltbvkRHHXVqQai0tDQolUrI5XKoVCpotdqrxqxatQpKpRLDhg3D9OnTUVFRYfSwRGR5vjhRiqj3DqK2sQ0bFo/GE1MHs4zomgwWkk6ng0qlwrZt25Cfnw+NRoPk5OQOY86dO4c1a9YgKysL2dnZCA8Px6pVq0wWmojMX7tWhzd2nMbyLcfg18cJqY+Px+SQflLHIjNmsJAyMzPh4+MDhUIBAIiLi0NKSkqHMUIItLW1oampCUIIaDQaDBgwwDSJicjsVTe0YvGGTKzdV4AZYQPw6WNjEdDXWepYZOYMvoekVqshk8n0t/38/FBcXNxhTHBwMJYvXw6ZTAZXV1eEhIRg9erVV91XQkICEhIS9Lerq6tvJzsRmaHcUg2WJWehpLoJz/52CJZNDOQp3dQpBo+QhBAG76SyshKffvop8vPzUVJSgsDAQLz55ptXjYuPj0dubq7+w8ODp3sSWZMvTpQias0P0DS1Y+OSSDwyKYhlRJ1msJBkMlmHI6KioiL4+vp2GPPdd98hMDAQAwYMgJ2dHebMmYODBw8aPy0RmSUhBP695yyWbzkG/z7OSH18HCYGe0kdiyyMwUKKiIiAWq1Gbm4uACApKQlRUVEdxvj7+yM9PR0ajQYAsGfPHv17TkRk3ZrbtHh8yzG8/e05/GZoP6Q8Nhb+nny/iG6ewUKys7NDYmIioqOjERQUBBcXF8TExCA1NRUqlQoAEBkZidjYWERGRiIsLAwXL17Es88+a/LwRCStS5pmPLj2EL7KLsOyiYFYGxPB9ejoltmIzrxJZCIKhUJ/5EVEluVUSS1Um7JQ2dCC12aH4YHRMsP/E1ktYzyf858yRHTTdp4qx5MfH4ejvS2S48ZgTKCn1JHICrCQiKjThBBY8/15/GNnHuT9XJAUG8H3i8hoWEhE1ClancCLn5/Ch+lFmBjshXfnj4Cbo73UsciKsJCIyKDmNi2e2HIMu3Mr8ECEL16/Pww97Dq1FCZRp7GQiOiGahpbodqUhayL1XjiLjmevDuYF7uSSbCQiOi6SmuaELs+A/mX6/Hq7FDE3OEvdSSyYiwkIrqmvPI6xK7PQFVjK9YsGInpoVwwmUyLhUREV0kvqMRDm7MAAMlxYxA5qI/Eiag7YCERUQe7csqxfMsx9HFywKalkQjxdpU6EnUTLCQi0ks5osYfU7IxqK8zNi+NhE/vXlJHom6EhUREAIBNBwvxUmoOhvm6Y+OSSPRxdpA6EnUzLCSibk4IgYS9+Vi1+yzGDOqDxNgIuPKCV5IAC4moGxNC4I2vz+D9fQW4a0g/vLdgJBzt7aSORd0UC4mom9LqBJ7/7CT+m1mMmcN98K8HhsOeqy+QhFhIRN1Qa7sOT249jq+yyzB/jB9enRUKO1uuvkDSYiERdTPNbVo8mnwEe/MuY9mkQDw7fQiXAiKzwEIi6kYaW9uh2pSFg+cr8cw9IYifIpc6EpEeC4mom6hrbsOSDZnIuliNv/xOgbjxg6SORNQBC4moG6htbMOiDRk4UVyDlbNDsZCLpJIZYiERWbnK+hbEJGXgTLkGb0YPw5wImdSRiK6JhURkxS5pmrEgMR0FVxrw1twRuG+4j9SRiK6LhURkpUprmrAgMR3q6kYkzB+J6aHeUkciuiEWEpEVKq5qxLx1h3GprgXvx0RgypB+UkciMoiFRGRl1NWNmPv+YVQ2tGB97GiMH9xX6khEncJCIrIiJTVNmLfuMK7Ut2D94tEYJ2cZkeXgwlVEVqK0pgnz3j+MS5oWJMWyjMjy8AiJyAqU1zZj3rrDKNc0I3FRBF+mI4vEIyQiC/dzGZXVNOP9mFGYGOwldSSiW8JCIrJglzTNmL/uMEqqm7A2ZhQmh/BsOrJcLCQiC3Wprhlz1x1GcXUj1iwcyVO7yeKxkIgsUGV9CxasS0dxVSPWLBiFqUP7Sx2J6LbxpAYiC1Pb2IaYpAwUXGlAwvyR+I2CZUTWgUdIRBakvqUdsRsycLpcg389MJzLAZFVYSERWYimVi2WbszE8eIa/D1qGGaFD5Q6EpFRsZCILEBLuxYPf5CFjAtV+Ot9SjwwmltIkPVhIRGZuTatDo9/dAz7z13Bs78dgtixAVJHIjIJFhKRGdPqBP6w9QT25FbgiamD8cikIKkjEZkMC4nITOl0As+mZOOLE6V4aMIgPPmbwVJHIjIpFhKRGRJC4LUdp7HtiBoL7/DDc/cOhY2NjdSxiEyKhURkht5LO4+kAxcwK9wHr9wXyjKiboGFRGRmPkovwpu78jA5xAur5gyHrS3LiLoHFhKRGdlxsgzPbz+JUf4eWLNgFOzt+BCl7oN/24nMxIFzV7Div8cQ3M8V62NHo5eDndSRiLpUpwopLS0NSqUScrkcKpUKWq32qjEVFRWYNWsWhgwZgpCQEHz55ZdGD0tkrY4X1+DhD7LQ380Rm+Mi4e5kL3Ukoi5nsJB0Oh1UKhW2bduG/Px8aDQaJCcnXzUuNjYWCxYswJkzZ5CTk4M777zTJIGJrE3+pTos2ZABJwc7JMeNQX83R6kjEUnCYCFlZmbCx8cHCoUCABAXF4eUlJQOY/Ly8lBRUYEHHngAANCjRw94enqaIC6RdSmpaUJMUgbatQKblkYioK+z1JGIJGOwkNRqNWSy/62b5efnh+Li4g5jzpw5g379+mHevHkYMWIEFi1ahKqqKuOnJbIiVQ2tWJSUjsqGViTGRkDp4y51JCJJGSwkIYTBO2lvb8e+ffvw/PPP49ixYwgICMAzzzxz1biEhAQoFAr9R3V19a2lJrJwDS3tWLIxE4WVjUiYPxJjAvmKApHBQpLJZB2OiIqKiuDr63vVGIVCgdDQUADA3LlzceTIkavuKz4+Hrm5ufoPDw+P281PZHFa23V4JPkIThTX4I2oMNzNDfaIAHSikCIiIqBWq5GbmwsASEpKQlRU1FVjWltb9cW1Z88eKJVKE8Qlsmw6ncDT205g/7kr+NP0IXgggttIEP3M4BbmdnZ2SExMRHR0NFpaWjBp0iTExMQgNTUVqampSExMhK2tLd577z3MmjUL7e3tGDhwINavX98V+YkshhACr3yZi9QTpVCNH4RHJgVKHYnIrNiIzrxJZCIKhUJ/5EVk7d797hxW7T6LqBEDuSQQWR1jPJ9zpQaiLvBRehFW7T6LKSFe+Hv0MJYR0TWwkIhMbOepMryw/SRG+vXGe1yfjui6+MggMqH0gko88d/jCPJywfrFXJ+O6EZYSEQmkldeB9XmLHg6O2BzXCR6OzlIHYnIrLGQiEygrLYJizdkwAbApqWRGODeS+pIRGbP4GnfRHRzapvasHh9JirrW/FBXCSC+7tKHYnIIrCQiIyopV2Lhzdn4eylOrw7j0sCEd0MvmRHZCQ6ncAftp5A+oUqvPg7BWYMGyB1JCKLwkIiMpLXdpzGV9llWDYxEEvGDZI6DpHFYSERGUHi/gIkHbiAWeE++NP0IVLHIbJILCSi2/TFiVKs/Oo0xsk98WY0lwQiulUsJKLbcLigEk9tPYEh3q5Ys3AUHHrwIUV0q/joIbpF5yrq8PDmLHi6OGDjkki4OdpLHYnIorGQiG7BJU0zFm/IhBDAhiWj4e3uKHUkIovH65CIblJDSzuWbsrEpbpmbFoSiSHeblJHIrIKLCSim9Cu1SH+o6M4VaLBvx4YjrHyvlJHIrIafMmOqJOEEHhh+ymk5V3G09OCETXSV+pIRFaFhUTUSQl78/HfzGLMi5Qhfopc6jhEVoeFRNQJnx5V63d8fXVWKGxseK0RkbGxkIgMOJh/BX/8JBuhA93w7vyR6MEdX4lMgo8sohs4V1GHZclH0N/NEetjR8O5J88DIjIVFhLRdVyq+/FaI+DHa436ufFaIyJTYiERXUNjazviNmahQtOMtQtHcZM9oi7A1x+IfkWrE3hiyzGcLKnFqjm81oioq/AIiegXhBB45YscfHP6ElZMHYzoUbzWiKirsJCIfiHpwAVsOnQRUSMH4ve/GSx1HKJuhYVE9JOdp8rw2o7TGBvkib9FDeO1RkRdjIVEBOBYUTVW/Pc45F4u3NeISCJ81FG3V1TZCNWmLLg62mPDktFw78V9jYikwEKibq2msRWLN2agsVWL9Ysj4OvhJHUkom6LhUTdVku7Fg9/cASFVxqwet4IDPPtLXUkom6NhUTdkhACf/wkGxkXqvDSTCV+o+gvdSSibo+FRN3Sv/acxefHSxE3fhBixwZIHYeIwEKibmhrZjFWf5ePe5T98dy9Q6WOQ0Q/YSFRt7L/3GU899lJDJf1xlsPjoCdLa81IjIXLCTqNvLK6/BY8lF4uzsicVEEejnYSR2JiH6BhUTdQoWmGUs2ZMDGBti4ZDS8XHtKHYmIfoWrfZPVa2hpx9KNmbhc34IP4sZA3o9bSRCZIxYSWbV2rQ6Pf3QUOaUavPVgOO4I9JQ6EhFdB1+yI6slhMBLqTnYm3cZT08LxuwRA6WOREQ3wEIiq7V2XwE+TC/CgxEyxE+RSx2HiAxgIZFV+jK7FH/7+gwmDO6LlfeHcisJIgvAQiKrk1VYhT9sPYEh3q54b8FI2NvxrzmRJeAjlazKhSsNUG3OgofTj1tJuDpyKwkiS9GpQkpLS4NSqYRcLodKpYJWq73u2BkzZkAu5+v11PUq61uweEMG2tp1WL94NAa495I6EhHdBIOFpNPpoFKpsG3bNuTn50Oj0SA5OfmaYz/88EP06dPH6CGJDGlu00K1OQvq6iYkLBgJpY+71JGI6CYZLKTMzEz4+PhAoVAAAOLi4pCSknLVuCtXriAhIQHPP/+88VMS3YBOJ/Dkx8dxrKgGK2eHYnJIP6kjEdEtMFhIarUaMplMf9vPzw/FxcVXjfv973+PlStXwtHR0bgJiQx44+vT+PpUOR6bHIR5kX5SxyGiW2SwkIQQBu/k66+/hp2dHe66664bjktISIBCodB/VFdXdz4p0TVsPlSIdfsvYOZwHzw9LUTqOER0GwwuHSSTyTocERUVFcHX17fDmH379uHbb79FQEAA2tvbUVFRgWHDhiE7O7vDuPj4eMTHx+tv//wyINGt+Ca3Ai+n5iAyoA9WzRkGW24lQWTRDB4hRUREQK1WIzc3FwCQlJSEqKioDmPeeOMNqNVqFBYW4sCBA/D397+qjIiMKVtdg+VbjiGgrzPeXzQKPXtwKwkiS2ewkOzs7JCYmIjo6GgEBQXBxcUFMTExSE1NhUql6oqMRB0UVzVi6cYsODnYYePiSPR2cpA6EhEZgY3ozJtEJqJQKPRHXkSdUdvYhv/7z0Goqxux5aE7MMLPQ+pIRATjPJ9z+wmyGC3tWixLzsL5y/X4z8JRLCMiK8Olg8giCCHwx0+ycbigCn+ZocA9Sm+pIxGRkbGQyCKs2p2Hz4+XYum4QVg6fpDUcYjIBFhIZPY+Si9Cwt7zmK70xvMzhkodh4hMhIVEZm3vmUv4y+enMMKvN96aGw47XmtEZLVYSGS2TpXUIv6jo5B59ELiogg42vNaIyJrxkIis6SubsSSjZlwtLfDxiWR8HTpKXUkIjIxFhKZndrGNizekAlNUxvWLYpAQF9nqSMRURfgdUhkVn55rdGaBSMxyp/XGhF1FzxCIrOh0wk8tfWE/lqj6aEDpI5ERF2IhURm442vT+PL7DI8NIHXGhF1RywkMgtJBy7o9zX68295rRFRd8RCIsl9lV2GlV/l4o5A7mtE1J2xkEhS6QWVePLj4wju54q1MRHc14ioG2MhkWTOVtThoc1Z8HRxwMalo+Hey17qSEQkIRYSSaK8thmx6zMgAGxaGokB7r2kjkREEmMhUZfTNLdh8YYMVNa3Yt2iCAT3d5U6EhGZAV4YS12quU2LhzZl4Ux5Hd6dPwJ3BHpKHYmIzASPkKjLtGt1eGLLMaRfqMJLMxX43TAfqSMRkRlhIVGXEELghe2nsDu3AsvvkmPJOF74SkQdsZCoS6zanYf/ZhZjXqQf/nB3sNRxiMgMsZDI5NYfuKDf8XXl7FDY2PDCVyK6GguJTGr7sRK88uWPqzBwx1ciuhEWEplMWt4lPL3tBBQD3LCOO74SkQEsJDKJY0XVeDT5KAZ69MKmpZFwdeQqDER0YywkMrq88jos3pAJF8ce+GDpGHi5cvtxIjKMhURGVXilAQuT0iGEwKYlkfDzdJI6EhFZCK7UQEZTVtuEBYnpaGhpR7JqDBQ+blJHIiILwiMkMorK+hYsTEzH5boWrFsUgZF+HlJHIiILwyMkum2a5jYsWp+BwspGrFkwEuPkfaWOREQWiEdIdFuaWrWI25iJnFINVs0ZhmlKb6kjEZGFYiHRLWtt1+GR5CPILKzGq7OUuH+Er9SRiMiCsZDolmh1Ar//+Bi+P3sZz9wTgpg7A6SOREQWjoVEN02nE3hm2wnsOFmORyYFIX6KXOpIRGQFWEh0U3Q6gec+O4lPj5Vg8dgA/Gl6iNSRiMhKsJCo04QQeCk1R7+NxEszFVy5m4iMhoVEnSKEwMqvTuODwxcRPcoXr3EbCSIyMhYSGSSEwD925SHpwAXMCvfB3/9vGGy5jQQRGRkLiQx6+9tzWJN2HveGeeOfc4ZzTyMiMgkWEt3Qe2n5eOubc/jN0P54e+4I9LDjXxkiMg0+u9B1Je4vwD925mFyiBcSFoyAPcuIiEyIa9nRNa3bV4DXdpzGOLkn/rNwFHr24G6vRGRaLCS6ytrvz+ONr89gwuC+3HqciLoMC4k6WJN2Hn/fyTIioq7XqTcF0tLSoFQqIZfLoVKpoNVqO3z9+PHjGDduHJRKJUJDQ/HOO++YJCyZVsLefPx95xlMCvZiGRFRlzNYSDqdDiqVCtu2bUN+fj40Gg2Sk5M7jHFycsL69euRk5ODgwcPYvXq1Th+/LipMpMJJOzNx5u7fjyBYW3MKJYREXU5g4WUmZkJHx8fKBQKAEBcXBxSUlI6jAkODkZIyI9rmrm5uWHo0KEoLi42QVwyhdXfnsObu/IwJcQL/1nIMiIiaRgsJLVaDZlMpr/t5+d3w7I5f/48srKyMG7cuKu+lpCQAIVCof+orq6+xdhkLG9/cw7/3HMWdw3ph//wyIiIJGSwkIQQnb6zmpoazJ49G2+//Tb69Olz1dfj4+ORm5ur//Dw8Li5tGQ0Qgis2pWHf39zFr8Z2g9rFo7kqd1EJCmDZ9nJZLIOR0RFRUXw9b16Z9DGxkbMmDEDDz30EObMmWPclGRUQgi88fUZvL+vAPco+2P1vJFw6MGLXolIWgafhSIiIqBWq5GbmwsASEpKQlRUVIcxbW1tiIqKwt13340nnnjCNEnJKIQQ+OsXuXh/XwFmDvfBu/NZRkRkHgw+E9nZ2SExMRHR0dEICgqCi4sLYmJikJqaCpVKBQDYunUr9uzZg+3btyM8PBzh4eH45JNPTB6ebs6Pm+udwsaDhYgaORBvPRjO5YCIyGzYiJt5k8jIFAqF/siLTEurE/jjJ9lIOarG3NEyvH5/GLeQICKjMcbzOVdq6AbatDr8YesJfHGiFLF3+uOlmUqWERGZHRaSlWtt1+GJLcewM6ccD00YhOfuHcqdXonILLGQrFhdcxse+/Ao9p+7gsenyPHUtGCWERGZLRaSlSqvbcbiDRk4U16HP/92CJZNCpI6EhHRDbGQrNCZcg2WbMhEZX0r3pk3AvcN95E6EhGRQSwkK3Mw/wqWfXAENjbAB3GRGBPoKXUkIqJOYSFZkU+PqvGnlGz0c3XEpqWjIe/nKnUkIqJOYyFZASEEEvbmY9Xuswgd6Ib1saPRz81R6lhERDeFhWTh2rQ6vPj5KWzJKMbkEC8kzB8J5578tRKR5eEzlwWraWzFYx8excHzlZg7WoaVs0PRg0sBEZGFYiFZqILL9YjblIXCyga8MGMo4sYP4jVGRGTRWEgW6If8K3g0+Qi0OoHERRGYOrS/1JGIiG4bC8nCfJh+ES9+ngNvN0ckLY7AEG83qSMRERkFC8lCtGt1WPnVaWw8WIhR/h5YGzMKfV16Sh2LiMhoWEgWQNPchuUfHcP3Zy/j/hED8UZUGBztud04EVkXFpKZO12mwaPJR1BY2Yhn7gnBY5ODePICEVklFpIZ+/SoGs99dhIOdrZYvzgCdw3hyQtEZL1YSGaopV2LV7/MRfLhIigGuOE/C0fBz9NJ6lhERCbFQjIzJTVNeOzDozhRXIM5o3zx6uxQvl9ERN0CC8mM7D93GU9sOYaGVi3+FhWGuZF+UkciIuoyLCQz0K7VIWHvebz17Vn4uPfCpqWRGObbW+pYRERdioUksYuVDXjy4+M4WlSDySFe+PcD4fBwdpA6FhFRl2MhSUQIgf9mFuPVL3Oh1Qn89T4lFt3pz1O6iajbYiFJ4Ep9C55NOYlvTlcgbKA7/v1gOOT9XKSORUQkKRZSF/smtwLPfpqNqoZWPD5FjiemDoZDD24ZQUTEQuoidc1teH3HaWzJKIZfHyesjRmFUf59pI5FRGQ2WEhdYOepcryUegoVmhY8GCHDX2Yq4MJdXYmIOuCzogmV1Tbhxc9zsCe3ArI+vbB5aSQmBntJHYuIyCyxkExAqxPYfKgQq3blobldh0cmBWHF1MHo5cAVF4iIroeFZGS5pRr8+dNsnFDXYrisN964PwwKH26iR0RkCAvJSKobWvHOd+ew+dBFOPawxV/vU2LhHf6ws+V1RUREncFCuk3NbVpsOliId/fmo665Hb8N9caLMxUY4N5L6mhERBaFhXSLdDqBL7JL8Y+deSipacIIv9547t6hGB3AU7mJiG4FC+kWHDpfidd3nMbJklr49XFCwvyRuDfMm8v+EBHdBhbSTchW1+Ctb87huzOX0NvJHi/+ToGFd/hzpQUiIiNgIXVCVmEVVn+Xj+/PXkbPHrZYNjEQj02Rw72XvdTRiIisBgvpOoQQOFRQidXf5uNQQSWcHOywbFIgVOMD4eXaU+p4RERWh4X0K0IIfH/2Mt79Lh9ZF6vh2rMHlt8lx9Jxg7hPERGRCbGQflLT2IqUoyXYklGE/Ev16O1kj6fuDsaisQF8aY6IqAt060ISQiCzsBpbMorw1ckytLbrEOjljBdmDMXcSD8ugEpE1IW65TNudUMrPj32v6MhBztb/DbMG/Mi/TBmUB+evk1EJIFuU0jFVY3Yk1uBPbkVyCisglYn9EdDUSN90YfvDxERScpqC0kIgZxSDXb/VEKnyzQAAG83R8yLlOF3w3x4NEREZEasppCEEDh/uQFZhVXIKKzC4fOVKK1tBgCE9HfF41PkmKbsj7CB7iwhIiIz1KlCSktLQ3x8PFpaWjB58mSsXbsWdnYd9/bZunUrXnjhBWi1WsydOxevvfaaSQL/rE2rw+kyDTIuVCGzsApZhdWobGgFADja22KknweWjh+EuxX94e/pbNIsRER0+wwWkk6ng0qlQmpqKhQKBR544AEkJycjNjZWP6a2thZPP/000tPT4eXlhYkTJ+L777/HpEmTbitcu1aHkpomXLjSgMIrDSisbPzxz5UNUFc3QasTAIDeTvaI8O+DyEEeGB3QB0ofdy7nQ0RkYQwWUmZmJnx8fKBQKAAAcXFxSEhI6FBIO3fuxOTJkzFgwAAAQGxsLFJSUgwWUn1LO5777CTqmttR39yGuub2H//c0g5NcxvqW9ohxP/G29oAAz16IcDTGZOCvRDc3xWRg/pA7uUCW+47RERk0QwWklqthkwm09/28/NDcXGxwTE7d+686r4SEhKQkJCgv11WdAHbn3/wut/7WjsKVf70ccRQcBOrrq6Gh4eHxClunqXmBiw3u6XmBiw3u6XmBiw3e0FBwW3fh8FCEr88RLmNMQAQHx+P+Ph4/W2FQoHc3NxO/b/mxlKzW2puwHKzW2puwHKzW2puwHKz//wq2u0w+EaLTCbrcERUVFQEX1/fmx5DRER0IwYLKSIiAmq1Wt/YSUlJiIqK6jBm+vTp2Lt3L8rKytDe3o5NmzZdNYaIiOhGDBaSnZ0dEhMTER0djaCgILi4uCAmJgapqalQqVQAAHd3d7z55puYOHEiQkJCMGnSJEyZMsXgN//ly3eWxlKzW2puwHKzW2puwHKzW2puwHKzGyO3jejsG0BEREQmxIt1iIjILLCQiIjILEhWSGlpaVAqlZDL5VCpVNBqtVJFMSggIABKpRLh4eEIDw/HyZMnAQDPPvss5HI5goODkZKSInHKH61YsQK+vr7o0aPjGf3Xy3rq1CmMGjUKgwcPxuzZs1FfX9/VkQFcO3daWhpcXV31837//ffrv1ZSUoKJEyciODgYkydPRllZmRSxUVxcjKlTp2Lo0KFQKpX485//rP+auc/59bJbwrxPmzYN4eHhCAsLQ3R0NDSaHxdPNvc5B66d3RLm/Gfx8fEdHqdGnXMhAa1WK4KCgkROTo4QQog5c+aIjRs3ShGlU/z9/UVxcXGHz+3Zs0dMmDBBtLe3C7VaLWQymairq5Mo4f/s379flJWVCTs7O/3nbpR13LhxYteuXUIIIZ555hnx8ssvm03uvXv3iqlTp15z/IIFC8TatWuFEEIkJCSIxYsXd0nOXystLRWZmZlCCCFaWlrE+PHjxfbt2y1izq+X3RLmvaamRv/nFStWiJdeeski5lyIa2e3hDkXQoh9+/aJRYsW6R+nxp5zSQrp8OHDYsKECfrbO3fuFDNnzpQiSqdcq5AeeeQRkZSUpL89d+5ckZKS0tXRruuXT+zXy1peXi5kMpn+82fOnBFhYWFdmvPXOltI7u7uoqmpSQghRH19vfDw8OiSfIYsX75cvPPOOxY15z/7ObslzbtWqxXLli0TL7/8ssXN+S+zW8KcNzc3i7Fjx4pLly7pH6fGnnNJXrLrzHJE5mbmzJkIDw/H888/j7a2Nov6Ga6X1RJ+hiNHjmDEiBGYOHEidu3aBQCorKyEs7MzHB0dAQDOzs6wt7dHbW2tlFFRVVWF7du34+6777a4Of9ldsAy5v3+++9Hv379kJeXh6eeesqi5vzX2QHzn/NXXnkFcXFx8PLy0n/O2HMuyX5IwsLONN+/fz9kMhkaGhoQGxuLVatWWdTPcL2s5v4zjBw5EhcvXoSbmxtycnIwffp07Nu3D66urlJHu0prayuio6OxYsUKDBkyxKLm/NfZfXx8LGLeP/vsM7S2tiIuLg6ffPKJRc35r7NHRUWZ9ZxnZ2cjPT0dK1eu7PB5Y8+5JEdIlrbU0M9N7+zsDJVKhYMHD1rUz3C9rL6+vmb9M7i5ucHNzQ0AoFQqMW7cOBw9ehSenp5oaGhAc/OPGzA2NDSgtbUV7u7ukuTUarWYP38+wsPD9f/atZQ5v1Z2S5l3AHBwcMDcuXPx2WefWcyc/+yX2c19zn/44Qfk5uZi0KBBCAgIgFarRUBAALy8vIw655IUUmeWIzIXDQ0N+jN4tFotUlJSMGzYMERFRWHjxo3QarUoKSnBgQMHMG3aNInTXtv1snp7e0Mmk2H37t0AzO/3UFZWpv+XVklJCQ4dOgSlUgkbGxvMmDEDmzdvBgBs2rQJ9913n2Q5H374Ybi6uuKf//yn/nOWMufXym7u815XV6c/00yn0yE1NRVKpdIi5vx62c19zh999FGUlpaisLAQhYWFsLOzQ2FhIebPn2/cOTfKu1234NtvvxVDhw4VgYGBYsmSJaKtrU2qKDd0/vx5MXz4cBEWFiYUCoWIi4sTDQ0NQogfzxwJDAwUcrlcbN26VeKkP3r44YfFwIEDBQAxcOBA8dhjjwkhrp/1xIkTIjw8XMjlcjFz5kyh0WjMJvfq1auFQqEQw4cPF8OHDxebN2/Wjy8qKhLjx48XcrlcTJgwQajVaklyHzhwQAAQoaGh+pxvv/22EML85/x62c193ktKSkRERIQICwsTSqVSLF261OBj0lzm/HrZzX3Of+2XJx8Zc865dBAREZkFrtRARERmgYVERERmgYVERERmgYVERERmgYVERERmgYVERERmgYVERERmgYVERERm4f8BB5drSYkjsFsAAAAASUVORK5CYII=", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 6, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:50.731947Z", + "start_time": "2020-05-01T22:46:50.156598Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u2.draw(logarithm=1e-1, z_scale=\"mm\")" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "rs = np.linspace(1 * um, 400 * um, 51)\n", - "intensities = intensity_area(u2, r0=(0 * um, 0 * um), radius=rs, power=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": "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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 7, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:50.769549Z", + "start_time": "2020-05-01T22:46:50.737395Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = -0.078 um, z = 14944.031 um\n" + ] + } + ], + "source": [ + "x_f, z_f = u2.search_focus()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:51.064107Z", + "start_time": "2020-05-01T22:46:50.775659Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-30.0, 30.0)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u2.profile_transversal(z0=z_f)\n", + "plt.xlim(-30, 30)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### XZ lens: BPM scheme" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:52.620281Z", + "start_time": "2020-05-01T22:46:51.066323Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "951.2850019179132\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "focal = 1 * mm\n", + "diameter = 1 * mm\n", + "\n", + "x0 = np.linspace(-diameter / 2, diameter / 2, 4 * 1024)\n", + "z0 = np.linspace(-250 * um, focal + 2 * mm, 1024)\n", + "wavelength = 0.6238 * um\n", + "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", + "u0.plane_wave(A=1, theta=0 * degrees)\n", + "u1 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", + "u1.incident_field(u0)\n", + "focal, _ = u1.lens(\n", + " r0=(0 * um, 0 * um),\n", + " size=diameter / 1.25,\n", + " radii=(1 * mm, -1 * mm),\n", + " thickness=0.25 * mm,\n", + " refractive_index=1.55,\n", + " angle=0 * degrees,\n", + " mask=(100 * um, 3 + 0.1j),\n", + ")\n", + "print(focal)\n", + "u1.draw_refractive_index()\n", + "u1.surface_detection()\n", + "edge_matrix = u1.borders\n", + "\n", + "u1.smooth_refractive_index(type_filter=2, pixels_filtering=50)\n", + "u1.borders = edge_matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:54.184357Z", + "start_time": "2020-05-01T22:46:52.622628Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcUAAAFHCAYAAADQuVdXAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAAuJAAALiQE3ycutAACYMklEQVR4nO29ebRdZZkm/pw739whA0kYMqCYhAyEBMGhCIWoGJEqupDGodUqKKAtm3S12lbVQl3duuymXF2WLO1alMv6oQ0iq0sFxRpomQrFKRYgAUlipERMQkLIfHPnaf/++PZzv3e/99v77HPumXLzPmuddc7Zw7f3mfZznucdvkIURREMBoPBYDCgqd4nYDAYDAZDo8BI0WAwGAyGGEaKBoPBYDDEMFI0GAwGgyGGkaLBYDAYDDGMFA0Gg8FgiNFS7xOoBwqFQr1PIYHe3l4sWbIEAPDSSy+hr68vc/vTTz8dCxYswJEjR3DgwIFanKLBYDA0JHp6eopeM0uBKcUGwJ/+6Z9i+/bt2L59O/70T/+06PZ33303tm/fjrvvvrsGZ2cwGAyNi6VLl1Z0PCPFBsDAwEDwcRr6+/sT9waDwWCoDIwUGwBdXV3Bx2no7u5O3BsMBoOhMjBSbACYUjQYDIbGgJGiwWAwGAwxjBQbAGafGgwGQ2PASLEBYPapwWAwNAaMFA0Gg8FgiGGk2AAw+9RgMBgaA0aKDQCzTw0Gg6ExYKTYADClaDAYDI2BU7L3KdBYL3zYlKLBYDgJIbtIN6llIcU1Gd9HKc/z7q/3qSQaiRtqhiYAnfU+CYHWep+AwWAwFIEkK/m4OX6uH2tMwJHaRHzTpKbH4PiT8bbcF/HztOPMFKcsKTaS8TjP7FODwdCA0EQoSasZ7g99s7oVxH5RfBuDI7RxsWxCjcXxJNlNiJtEk9in0jglSbEAoL3eJyEwZvapwWBoIEhiChFXMxx5tMb3XCdVJMlsLF4+Dq8WJ8U+bWoMwBMpxPaFlONVGkaKDYBuU4oGg6EBkEaGkghJYq3xrSl+LtXhePyYpDgMYBRe8bXF+7bFN0luJM/xeN8ISQKV5KkVZCVwSpIiUB3ZXS4s0cZgMNQT2iaVdijVGcmwHZ4UZQyRsb8xOEIbBjAS32ifcrw2MR4JcTy+jWI6gerjyeNUGqckKUrPuxHQSOdiMBhOHaTFDKU9SlIikck4oo4djogbSVGSm7zR/qSaJBmS6KgMScokwwmxnSnFCqKRiKjT7FODwVBjhDJIpTKUik6rNWl3TsKRGolwCF4d0vqUhErLlfuNihuzSiUZF9RxpIq0RJtZiiGzTw0GQ42Qpg5l4oy0SluRJDOdGToKR4JDSKrDQjxOO5LqkGqPRCpJjseWx5LxxXE4cmQcsxrlbEaKBoPBcIogpA51Eo286WxPwGeDpqlDiLE64MmQ9ie3G8V0NdkCH2echLdJGZNsQlLJVsPxM1JsAJh9ajAYqg2qwix1mEaIJKlJ+GQYqsOh+DkVHPenyiRxcb9h+HggKwFCSTdj4j6NDC2mOEth9qnBYKgWstShTqKRhEiLEvDdZEiGg0hmliLeR1ulEPulZZXqbcfFdqxnlAQtt5sA0FPWu5KOhm0IvmXLFrS0eM6+5ZZbsGLFCqxatQr33Xff1PLnnnsOF154IVauXImrr776pCQKU4oGg6Ea0BmlMumlPb51qpu0MQFPUkMA+gH0ATgBR4xj8ZidcF3CuuLHrXC2KPcbjO9ZltEhjtcKb5VSfY7BxyQ74/NsFmPqWGQl0ZCk+MMf/jBBbo888gh+8pOfYNeuXXjsscfw0Y9+dGr9hz70IXz2s5/F888/j1WrVuHzn/98vU67bJhSNBgMlQTLziQhkgwlIXUBmBM/ZvxPZ4dSGZIM++EICfH2XXCESEJFvB/JkORJa1UeC0iSoRyX59kC3xBAJvI0izEqiYazT0dGRnDLLbfg/vvvxz333AMAuO+++3D99dejubkZS5YswaZNm/DQQw9h06ZN2L17NzZv3gwAuPHGG/Gud70Ln/rUp+r5EmaEs88+G2984xsBAEePHsX8+fOn1vG5XGYwGAwSOnZI21GXWMhSC96YDMNC+mH4RBp2pYEYi3Yps0An4G1VqeRaxXYkHcYMdYkF44ZN6lyYlCPt31OiJOMzn/kMbrzxRixatGhq2d69e3HNNddMPV++fDn27NmDvXv3YtmyZdOWn2yQ9unNN9+Mm266CVEU4fjx45g7dy4KhULieVub+39k9qnBYCDSYoey5pBxP97rzFKWWcisUio4Zn+2wys9mSlKEmXsEEgqVCbsyM41slA/DxnKWkkgOZVUpdBQ9umzzz6Ln/3sZ/jjP/7jxPIoCs+clbZc4/bbb8fatWunbtXwoWeC/+/WW/H9Rx4BALS2tqKpKf1jKRQKaGtrw8DAAN73vvfV6hQNBkMDIyt2KO3SOeKetYeM1bFMYgDOIj0R34bi9W1wNqm0SpvgrdJ+OKt0NF7egWSMEfDZp0NwhKdrGWUpBtUm4MiwI741q20qjYZSij/+8Y+xY8cOvPrVrwYATExM4FWvehXe/OY3JxTg7t278frXvx5Lly6dtnzp0qXTxt2yZQu2bNky9byj0Ej9bBx+8oMf4LLLLwcA3H333bjzzjuD9ulXvvIVXHzxxRgZqcbXwWAwnEzIqw5lvFC2TQM8IVIdMimGZRZMjNFWqSSmYXglqW1ZYLpVStWnaxjH4GsSgbAyZOZpNVQi0GBK8T/9p/+Effv24cUXX8SLL76I5uZmvPjii3jf+96HO++8ExMTE3jppZfwox/9CJs3b8YZZ5yBZcuW4aGHHgIAfOUrX0nYrCcTNlx4IQBg+/bt+NCHPoStW7di165d2Lp169Rt165duPfeewEACxYswAc+8IF6nrLBYKgj8qjDOfBqjcQm6/ykyusDcDx+PByv78B0dQg4chuMt2VWaas4ZgccodFSHRLbUfUxiQbxdiFy7RDbyNIOkvUpkWgTwtve9jY8/PDDWLVqFZqamnDbbbehp8dVp3zpS1/Cddddhy1btmDNmjVTyTknG84+5xwAwPPPP1902yiKUGhAtWswGKqPPOpQ1gtK1UbrUarDITjLVNqVjDkyfkiLVccNmQVKwiThynpD2bWG6lD2M5U1iTIxSB5Tqkf5J6Aaqq4Q5Q3MzSJ0FApYWe+TEPjARz6Cv7jtNgDAZz/7WXzyk5/M3H7Hjh1YvXo1HnnkkanMW4PBMPuRllkqk2hChfhyeidalMNwZMgMU1nmECI5GecbE8enmtOxSdm1RpZ6QJyH7GXaLMYBkgX6mjD5WiYAzFuzBjt27CjzHZ2Ok0Ipnko4ePBg0W1++ctfYvXq1VanaDCcIiimDiUZysxQqaZIbNLOZMILML2GkHE+GTfktjJeyRijjBvKJBrZz1Q295blGsXIUGavTor9rc3bLMXqjRsBuGL8//f//l99T8ZgMDQUstShvNHu1CQj1SGtUibS0NbUVingCIfF8tIq1QpUW6VAcqaNUHNvINm+DUhOHEwybFVjkAwjMUalYaTYAFh81lkAXEnKrl27im7P+sRz4jikwWCYfdBTPEkSkWTYgWTskGQlJ+SlOpTt1tiMu1PsX4AnMD1JcIfajipS1iVS1cn4ZVovU5l1yqmk9EwYUuUyNsn3plqzZDRU9umpisHYBn3llVdybf/EE08AANavX4/3vOc9VTsvg8FQH6S1aJO9StmijdmetFCp3phEw6zSY3DZoswA7QLQG9+3x8cdg69THBTb8jjt8fiyjRvrEtvENs3qHNjLlLWGLAmRiTsRklYw7VY9AbEm5krDlGIDYMHixQDyd6gZHBwE4Ar5V6xYUbXzMhgMtUUedUjFJusGtepiyQSTaWS/UGmVhpp+S1tVxg1ZqK9nu2B8UZZO6DkQZaJNhGTcEEhmlHIMGTPUyjBC9WKKphTrjFedey5Wrl8PANi3b1+ufR599NGpxuGyzZ3BYDh5odWhLK+QNYdUbUyKkT1LR+BIsA9eIQ7C2ZayI00XfKPtEThl2A/fIaYdSXUYIVnYL0sxeA60XdknlV1wOMsFlSF7o+oYpexUI4v8tTLUTQAqDSPFOuOSd7wDXXHN5bZt23Lts3XrVjz55JMALK5oMMwGyGQaEoW2SjkbBQmRFiPgiIJF+LRK++DIg1bp3Hh/SVBs58Ys1BZxrI54bFqgeqoo2rbsZ8oYpLRB2zG9dZsmOxIqVaheL+sVQx1xKg2zT+sM2Qy8J8dcisTRo0cBAJs2bcK5556bK0HHYDA0FkKZpdIupc0pk1xkmcUkvPIahM8sZUlEJ5JxPO5DAqOio60q27hpq7RJjMM5EGVNIpCsNSxgesaonOFCJuvI9VSFkkwnxXpps1YjpmhKsc5YF7d3+9X27fjLW2/Nvd/jjz8OAOjs7MQ73vGOqpybwWCoHkLqkERIVUirk4k0zMhk+cIAnNI7Gt+YSNMGl0TTE+/fhulW6VB8HjweG3dPIJmpShuUVmorvA0aauwt+53K2kbdtm1crZe9ULm/JGS5XirHSsOUYp0xJ06uObB/f0n+eJdQlV0lKEyDwVBf8HdOxSfVYQd8A2/Zq1Q28KY6ZBJNKM5He1XG+ti5hnWCMllHZouOYHqRPsmYRKSzQeX5cconaYNKZaing5JEqJVls9gX8Ak2bAZejTpFU4p1BssxBvr7S/owvvzlL+PAgQMAgPPOO68KZ2YwGCqNrFILJtFQITJmp6d3YiLNUbjY4QAcSbTDq0MqMhbgn4i3G43HohLtjM+HCTIssWAN4xwkm4DTdgXCSTRcP4lkCziulzWNXM8EG60MJdlKMtWF/ZWGkWKdQaVIGyUvDh06hKeeegoA0N7eXmRrg8FQTxSQjIfRStRWKe1Sko22GvvhiPAoHNGNwZFDN3wiDUlsJN6mD37Wi054MuQsFiRDkl0Hkkk0rEkcQpLsdEbpqFqvaybH1Hodu9SF+3nI0Nq8zTK86txzsf53fmfqOYkxb/C4rc19/fPWNxoMhtpDxw6lVSrVloy56T6gLIdgLJANuWmVhmJ1rDkEkm3geI2hqpMxPU3EbA8XIWnz8txkvSJfm65FnFTrZT2l7G8aqlOU+zYF9q0GjBTriEve8Y6peOC/Pv54yTU3bAhujcENhsZDWuxQWqacV5AlDE1IllmQ3NhhhoqPZCpLM2TyCy1M2SGGFixLIyTZhWbEYFywWRxDN/Xm6wvNgKHJUio/SYZyEuEQGcq4oSTDUt21vDBSbBDw3yS/dKXAahUNhsZCSB1qMuR92rRKbN4tJ/KViTRUdSyxIBlKFRnqWiPLMHRhvLRBm5DMeJVNveVUTrLUo1ZkKJNvKg2LKdYR57/hDQCA0eFhbNu6deqDzvth79y5041z/vn4yEc+Uo1TNBgMJYC/X164aYmSyLrVjWUOkrgG4eKGhwEcgSPFKN5/bnxjR5ox+IJ9lmN0wCXbML7IEgvWMAI+iYbZCKPwcytCnLdOshlV62XhvZyTUe6rZ9DgHwSZYCNVp6yVlBZtKJ5I67eSMKVYR7TFCTLP/uxneGbr1qkfU16lmGfuRYPBUBvkUYcyfihVFu1IllhQHbI9WylWqczoZNxQl2HIWkBJSuxzSrIL9TCVUz3p/qWyP6mMKXJfqYap/prEfnKKqAh+Vo0mNW4kxq00jBTrCGaejo+5ryQtA9oIxRJu9u/fj7GxMbS2tmL16tVVPFODwZAGPQGwjB3KjjSyswyVEImHmaWMHbKdGjNFWa/IBBlZc8gSC24j6xKp7JrFeiAZNyShhjrVSDLUtYZpzbqlgmMdoiZDXtvSyFDuS2gytKmjZiFYozjY359I1877QX/jG9/A008/DQBYHM+0YTAYagdplTJhhYqQNYe0Mklc0lbk1E5H4tsJeAtUWqWt8FYpaw65XW88PrdhYg5rEmnbsrE3W8KxHpEqlPuzgJ+dbOSUVFSosjCfGa2SaNmblHFDEt44kvFMqVi5jvvqDFzZJs5KMmYpFggiY5INyZH/iIqpxbwzaxgMhspCE2JIHbL4XdfesVhetlxjzaFstq3nRmSSTAuSVimL9ElY7FMqY3dUjjLuJzvV8AbxmuTMFbp/KUsvxtU6TWhSGcoEGq0adecaef2T1nSk9qs0jBTrhE1XXIF1F10EAOjv6wOQnFOMH3gxYmSNotUqGgy1QVrskHWAc8RjFqnzYk8lxrghFV0BvqNNJ/w1gNvKJBY5FyK30UkwJGK2hJNZoZIMSZZpZBhqyaazZIuRIdelWagkQ+ZTaDKUzb8nMJ0oKw0jxTrh1atXozUuvv/ltm2Jjhf8wUmvPY0YrVbRYKgdstShLKSXtYFyBnmWWFAd0qLsgG/cDSTJU7Zdo81ZgK83ZAkFE210p5hQw22eD0lNkiFQfTLUs11MqDFLUY2VhpFinSCnjOJjqRT5JWBQOY0YqRAt0cZgqB7yqMNO8Zz2opzaqR8ufjgIRzp6XkJpg1Idyol6Zds0aZU2I1leQcKTPUZ18T4bemsyZPxOxgxDGaMzIUO5TirDLDIMratGOQZgiTZ1w9krVwIABgYG8PC99wJI/nviTc61FqphfOCBBwA4UrRaRYOh8kirO+yGS3KZh+nJNFSH7D96OL4xkaYz3m9evE8Bjuj64GoOh+CzSnvgCW8oHmMwfs7z6IC3QmXjb56r7GE6Al+Yz/IMOUMGy0DkBMFUnVynSTakRmVyDdfxzwKV4YRaF8pulQmImrSrMUuGKcU6obu3FwDwi5/+FC/u2jWVaKOVIiEVY7U6ORgMBo8sddiJpF3K+j4ZC2QiDUlsAu6COwfeKtUNt0eR7GnKC7S0SgGfRMO4IsszqBx5PoAnJmaFkgiZYMNm2xDnJNu5ZdUZyr6lsiRDt2LTylCvm1T7acILxRLNPp1loFKUkMQYsktlseqkWB5FEQqFAhYtWlSFMzUYTj2EYoeyAF/OaC9LC2Tz7j44UhyBtzip6jitEzvNSIUmrVKWbdDulNMxAd4KlYTHuKRu2B2aF5HrqOCkwpX1gGlkqOsTQ63Y9ByIITKU7d3y2qfVykA1+7QOuOamm3DO2rUAgCd+8IOp5fKHmHWTfVL/5gtfwC9+8QsAwJo1a0xFGgwzgAxhyLpDElovXO1gD5zaYyyQau0EXL3hQbhWbaNwRDUXwIJ4jOZ42+NwU0ANxcfl+KwnHIzHo93Jc+CUT3JyYU5B1YGkUp2AL/NoQ7LLjVxHxSljkVSb0kKVnW9YYpLVii007ZOsTQypTT0LRnORdZWGKcU6YE53NwoFR19DAwMAkkRHpajBL6BWi7954QWcf/75ie2qVcNjMMxWpKnDTnVjIo1Wh7RK++E7zUjylMqPcT+SnS6xGIJXf8xmbYaP7UnikhmlLK+QXWpkM282C9cF8LrlWpYyZH2iJidpaeopo/R4wHTFGCF53ZPkpNdJkqw0jBTrgFDmKTCdGDW0rcB/qD1xBmpPd/e0uKORo8GQjVDsUFqlVIpUWyQa2oxUdH1wZMaYIFu08Xc6CG+VQowvY3+y3lAX57P9GwlPF+ZLMpQJNNomlbNaMGkliwyZYKSTYKSrBSTJkOvykGHIWiVkxxq5rpr2qZFiHbDyvPMAAIdfeQX3fvnLiXXy36pezi8IPXY+Zo3iQNwuTn4RjRwNhnQUU4ddCKtD2ZGGscMJOPJgEb6cYYKEyG2k+qMVKglP9jHVnWgkkXKSYLkulBXK1ye71/CaIMlVkhdLMiQZ6p6lQDJmKOOMEaaToe5mI9UkoVWhJkOtGCsNI8U6YN5ppwEAfrNzJ44eOjS1nLaEVIIa/IcqvyQ9oqsN/31xWz42cjQYPPh7oNLR6pDKkOpQNtIegSO4PjiFOByPwemgqO5kH1JaoVI9Uv3JbjWygJ82Ka1YrSqZfFNAaWSYVmcom3hLe1KSYSjZhfvokoo0xRgF1mn7VCvGtHWmFGcJ2Ai87+jRaetYi8hguiRGSYgyM2sgHm/x4sWJL3MoW9XijYZTHVodsu5OKkMZ55NkwwberCWMkLRKqe4GkJyfkOqTyS6MG8oJgWWJhiQ21hMCSTtUllcA0xtu63hiMTKU5CXJUHba4p/2UOmELqjPIkM5S0iafVqKYqwkLPu0AcEPn9ldxbJRf/r44wCA884/Hx/+yEeCBf+MVUIsMxhOJchWiiRDEuHc+NYb31iET0U3AJcpegAus7Qf7vfErNJeuAv9KFzW6TE4QmwTY7fBkQbbvDFrtCc+D8ApR3a8acX0wnzOscisUalISbCyLIP1jZPiNctYI/94M9ZIYpMF97wOSaXJ97BZ7CML6iUh60bizWK5TNSRSlNnpYbKO+Q1rZIwpVgHcB7FOaKJN0mKXyTeS8XILxa/ZPxydYtkne6ursQXSKtKs1QNpyJC6pB1hlSHcgolSRy0SplIQxtUWqHj8BMEs5uMrElkL1M5cbDMONW1iCHyIqnoORF1uzatJmUCja4llLWJ0o6VM3poxZhmn+rsU/3eA9Prr6V9qskur2KsNIwU64COOXMAeBtVI0SMDIJrn70AYGRgAIgioFDAwMDAVGEwvzByLI4PJMnRiNEwG6Fjh9IqpUqUmaUyZseWaseRTKRhmQUJjU2+mVXK8aSVypkqWpFMwmGXGna7ke3T5OwVsmaQNil/19ri1ZmmIVUm7VNJrGn2qSTJSI1VUPsA00lSkqEmSZlhWk6MsdIwUqwxQlNGSUiCkmnL8kskPfwCgKe3bsXA4CC6urrwuje8AX8n1ssx5RcUakxTjYbZhmLqkISop1Jiv1KqQ3ak6YEvrgccmfTDqUPZjaYjXk+7kyqvS+zL2ka6QHOQzGyVzbxlv1AqzSZM7z/KMglankCyv6gmQ60YgSTh8fiVUowyP6IYSUrrlNDXLk2UlYKRYo2hp4wKQX9J+GOV/6JIZAUAz2zdiueefBJveNOb0NHePrUd7ZOQauRjs1QNsxEyFq8Tadh7lOpQJqqwPRvVIeA7yXTBZ3FyPkRmhpIsm+ETckbgk2E6xL4kQybYyO4vbLqtyZAZqpUkQxJbE6aTJK8tmtgkYchYoSTJUJ9SuQ8C60K2KiETdLR1avbpLIdWiZKw+CPQ5Ij4/nicydrV3Y1WJAkRgXHzWKpyP4PhZECaOpwDT4ZUh0zsYJkFyfAEHNm0wccOW+EL8DkXYhN8txr+5uQ8ibRK+TtjvJHEprNNda1hFhnSQm0S4wCeDEmSoVhiyD4FpivGcbFckqS2OzUZ6pKOvNapdMaA4iTJc6s0jBRrjLRuNiFoYtRfqGaxnl/M123ahFXnnovnd+1K/PObUGNyjCzVqLc3GBoZWh3KmkMdO5RWJduzHYUnO2mVFuDIph++AJ+9RtvgE2VolbYg2U+Uxfe0WEliE2K8EBnyN8+6x0lMn9FCZn9yORWjjCXKLE4grBiBJOkVI0m9vRyLy0mSaaqwGElKpJFkpWElGTXGugsvBAD8evt2/H+33jptvf4iyKxU+Y+NapFfwifisoyOzk685R3vSBQl83GLeCxvWeUbEMsNhkYEfw9sfca6wR74OQvnwZEcE2Co6g4DeBmu1GIIjoBOA7AQjkQjOMI8BKckWYYxLz4WSzD64215XGac9sMRXBN8tioV51B8/kz6aYJv1h3BE3sBybkOW+DnOpTzHErVKGsWSZIyM5WJNaGONbqkQrd1yyqbgFgOsVxmmMrPLFS2oWsfpU0qr0WakCsFU4p1wm+ffz51nbYu5XNJVvKLJ0lL2hcy9phmpXKskGqUxzFL1dBoyFKHjANKdch6v344ZdgXP2+FI81uOMKh3clEm4IYj7WB7EbD2CCJahQ+btgCPzMGE2X0vIaMDXK5PFcSITNApX0ql0v7lL9PWqiSdIDphCeJjb/xycByklOxQvuQkpS2KlGOYtTXnmooRiPFGiNUo5iGNHLkMkmQc4QV2xXXKjKwr9VmKAEnLdZolqqhERGKHTKRphveMmUPUcCXWRyHV3eAn7KJyTAj8FZpBJ9R2o5k3HAS4R6mMttUznwxiiQZAmEy5LnK5QWxPI0kZfkEf7NyeROSZIjA9pIMSQ4RppMk1DogmyQlSIaSJCcRJslQfDGLJCsBI8Uag7WJaTWKIYS+BNrO/NdHH8XALbegq6sLZyxbNq3GkaqR+4ZUIy0SU42GRkaaOmRSjI4dMpGmH26uwz44MuqAszqZSDMGn3XKjjJMpAEcEZL0ZPE9e5iS9GRGqSyvYDyRpDQmlpM8ZdaoVIySDKXlqQvuQ2SoZ8WQ7yEwve+pJEP5+5bLQ02+tZ0pSzN08T2hiVCSZN74YqVhpFhjlKIUQ0j7l/Ts1q34zfbtOO/1r8fZ55wzrauNVI1pCTgQ25eiGvW5GAzVQJo6pK1JQtQz07MjzWH45t3z4QiRLdQG4Jt7M9GGcb4R+GSZJjhVyfG5Dki2VxsXy1vFcsYAuZxkqIvupX3K36QmQ74nso8oyVCSFVUYkMwXkE6RJKq0GF45alFeayTkNSTLUuW+umSjmjkORoo1RjlKMQ36i/HKvn1TY0uPXpIjrVNpo0qVOKGea9WIwHN5DIOhGgipQ8YNSYZz4ON6jN8di28n4mVz4EiNpRKML7IAnxYs2yvKmCLjhoCPGzIhhoTFdm4syZBkOCaWy9rEMXhyk8pQtmnj7ytNAco/t+ykI+uZQ2SoLdVILQemq7xQfDEPScrcBS6HWqYzVblc/3GXx6kGjBRrjAWLF9fkOPxySXXHL+JMVaMcFzBL1VA9aHWoE2moEmXskER3DC6ZZgSOnObF27fBkUsfvFXaJtYxO3QgHo8zXMgkmgn46aYK8IX3XN4mlrP9myyul023mTGqyVCWbpAMs8oqZLxQJ9Uwg7SYpSrJMC3jU/7epXXK8YpZqhDbpi2Xcce0+GK11KKRYg1RrMVbCKXUzEhrVhKWJMgs1QgkiVJul6YazVI1VAtaHWoypMUpCWgALi54BMmZLLhtBD9LxRDcBXAu/CwVw5geN2S8kRMBt8JbtCQ9uZznIicNJklIMuRyGUvka+VvkoQqiYZkqK1T2YaNy0mG8v3k9tI6zVKL3J6Q1xNtaUoyLEUt6mMA4fiiJGgep9Io5ZpbdezZswdvfetbsWbNGqxbtw4f//jHp9bdcsstWLFiBVatWoX77rtvavlzzz2HCy+8ECtXrsTVV189NQt9IyJPizdC1wrmAS3ZIfEecBz5j1veWtSN9V6tgW11XSMwPbNVQn+BDYY84MWViqsLzvKcD19DyJgg7cwhOCLcB2A/HOm1A1gU3zrhCOYQXGxxBI5YT4vHH4fvZoN47B647zRJdBK+CUABfponwKvVSfgWb83xtqyLZEE+yZPKk8RHAma2Kks69KwdHIM2qawjpDVLUpbqkkQ7gbDqDJFYmgWrlZz8I0yiyhpfjpMW8yxGhtX6091QpNjS0oL/9b/+F3bu3Imnn34aP/rRj/Dd734XjzzyCH7yk59g165deOyxx/DRj350ivw+9KEP4bOf/Syef/55rFq1Cp///Ofr/CrSUUo3m3LQpZRi6MYvly7sJ0FmFftLci0ExgTCXygjRkNe8LvJAnWWS5AQT4NTdqz9Y9zvFQAvwREe4OY4PCPedhKO8F6BI7H2eJzeeNs+OJt1Ih53LtzvgBMKT8ARVjfc93sI3lplYg+TYpjIQzKkwmQXHKpAkmETvPVLZUjSk910ZKYqyZBKlGRIm5Tb8jcOJNUlf8+yfpGWqs4Wlb9xLg/FHaXClEoylKUKJJN25E0SJNQ+IUu3GteWhrJPzzzzTJx55pkAgLa2NlxwwQXYvXs3duzYgeuvvx7Nzc1YsmQJNm3ahIceegibNm3C7t27sXnzZgDAjTfeiHe961341Kc+Vc+XkYqhgYHgY41y/qk0wStFTk2VNSa/eFL58d+cTL6BWAdMt2HzxBq5H2CWqiGMUOxQW6Usj+AFnTWHh+HIK4IjurnwCrIfPlmmBb4ekRmnrDdkVxkgmVHageQ0T5zIV/Y0pQIkGQLJ0go5WbFs+M34JUsiJLlJ0iNZAckuMlwuSyqk0tIT/0KMAbU8TZVF4j4tAScrAUZ3ppFESBSLLRK1SrRpKKUoceTIEdx///1429vehr1792LZsmVT65YvX449e/akLte4/fbbsXbt2qlbNVoD5cGCRYsAAJOTkzi4f39FxpRfsJd/+1sAwPo3vhGbrrgi8W9KBqx5axb3WhlSNaYpx7yq0SxVQzGE1OE8OLW3ML7Ng+8mw9Zq+wHsgVN5LXA26WI4chuFI8tDcOTSE4/TCUdix+BIsVWMPQZflsFZ79nKrR9eMcrWa8PxY5InbVJmmbLGcRR+Rg0Su1R1uskA7VCqxQmxrc5SJXHKpBoZt6Ty0WqR5BvqOKNVmVaLcrncPqQWQyQJhNWiXE7Ia0haAlAl0VBKkRgdHcW1116LD3/4w1i9ejWiKPyfIG25xpYtW7Bly5ap5x2F+lyWz3vd6wAA//bcc3jwG98IblPKvxS97bFDh9zypiasvfBC/OR735u2T5rNOanWadUoE25KUY0Qy/R5mGo8tZGlDnvh1aFUWoNwJHgEjsCa4ciTNYeMDdL2ZB0jyXQQjszY1o0WJxtzy5ktQoX3tDiZFEN1SYJrQjKblMqQCTTcVtqewPR+oVItQrxPclutFkNxuWLzGWapRUL/ToupRb29jjc2ulpsOFKcmJjA+973PmzcuBEf+9jHAADLli1LKMDdu3fj9a9/PZYuXTpt+dKlS2t+znlBe3PvCy/MeKwQeWbZs1n2qc4gI6mRBKUS1FmqOhU7K0NVLuMYXG84tcDvlC7Cnwvfg1R2huHUTofhSHFcbM/G3f1whMhpn2ijjiNZmN8LT3AD8fbN8DFDtoOLxPkxZkilRTKU1qXsoEMybRb7kwyLEaQkQ63ogGyC5P5pdirEcojtQwSprwvAdOWnlaLcFmKdhLzmhDJR9R9org+VZFRD3jScffrBD34QPT09iYSZa665BnfeeScmJibw0ksv4Uc/+hE2b96MM844A8uWLcNDDz0EAPjKV76Ca665pl6n3pAIWZhyOUmvWS2TiTi0YHSWatZNW6ryuBpmqZ46kEletErnw1mbi+EsUCo/Jp8ch7NKdwM4GI+xOL51wZHdofgWwZHhAjjiYb3iKByRzYvHHUSyoL8bPs4oM0dbML1rDXugkiTb4GOYzBol8RUQ7m/KusYCktmlMmOUmajSTg3VKMo4JIkvVBMZSmgJqVNpp4ZsUB1znExZHrJTuY5Is01DliqRNlal0FBK8cc//jG++tWv4rzzzsMFF1wAALjhhhvwX/7Lf8HDDz+MVatWoampCbfddht6enoAAF/60pdw3XXXYcuWLVizZg3uueeeer6ETBRr8Zb3H0rWdlEUoVAoYH4cv0yDtjcB/y9W/mh0wo2OS8oOOCHVqOsY01SjPifD7IPMfJT9SllHKNVhBEdER+GnbQIcqUkFeBS+AJ+t3hjvk3HAznj5MJJxQBIvM0SpDAFPZs1IFunrRt2SoGT/UakWGQOUhfIy0SZkp9KOlXE+/VuUy3h8IEwwabG6tIxPqRaL2amRWpfXTuVxsuzUENJUaSVQiPIG5mYROgoFrKzDcb/w7W/jLVdfjX+5/358JKBoK0GKf79tG1adfz4eu/9+/EXgGMW+RPKLKuuU+A+S96Gb/IFHgXuOK48jl4XOwzA7IJO12EqtB94ulS3amNjCRBmqvAXwVukgnIIcgS+XkEkxrPFjcs4w/PyFjA+SeGXRPJCMD2pLUyaoycJ4tmLL6jLDZZrMZMKKJMiQRRpSaKEkGC7nuZdCkBw/zQbNIrzQ9nKfYr/rrHNKQ8+aNdixY0eRrfKjoZTibMdMm4EDxYnz6CuvpB4jz78qnYjDH6wuuUhTjdxHd8HRqtEScU4NyNihTKShOuyFn/h3HN7uPBg/ZlZpb/yYZRhDcKRxGryd2QdfJ0j7VSbRsEMN44PMBpUt3Eh8JGidQFMQ+5M0s8iQsUE5w0QxgmQdYmiZTFRJU5CEzO5MizfKbaGWa6WYRoaheGPW9lwfiiumqVeNal4bjBRriEo2A6/EMbIIVgfAeXGjdSQzUguBZdJaDWWoymNYIs7shFaHrDecB2+XMlNzGI7sDsJZopPxNvPhrVJmnAJeXQK+T2mTGHMCjlTH4BN5eBwm1nTCZ6Wy6bdsKM5OM5IMOVMGVSXJsJiqlNmhmiCzMkB1ko3cNo0gs0iGBDkplgPpBFkKEebZPrRPHnLWqGYOgpFig6ASGU+V/KLoLyozxiQR6mSdaqpGwMjxZEFIHfbCqcO5cMQle4qegCO8g3AKkAkx9DpkVimVJlUjVSAnAgaSZRfMKKUyLMBZqgX4GS0kGcplskuMjCMCngybA8uKxQZDMcBQrWAaQUo1xt+lVIohMpG2aSgzNY+Vmlf5lWqzho6tl4dQreuBkWINsfSccwCUb5/mIc40i1YTph4ri1D5w5OJOGl1jCHVCCTVYjmqEUj+8AyNCa0OaZHOR1IdAr5f6UE40muGs0ppfXLqp+F4n4Vw5DUKpyZH4+e9cN8N2XNU1iYylshkG85qDxQnQzmtE5Bsui3JUC6TsXVmkeqSioLYVy6TMXhJkLLwXscVs5QiIX9Lack4oW0BnyTE8YHphFeKWgwl6qQdW0PGOqulFo0Ua4S3v+c9WHHeeQCA5554omrHqcZ8jfIHKsmR/16LqUZppZpqnJ0IqUMqw/nwmaXNcOQzAOAAXDLNWLx+QbzNGBxZ9sVjzouXszyDLdvmw6vAofgxe44y4QbwHWQ4wS/tT72MZRWyhEGTIf8Ukvi4jN9bGS8kmehYo44/QowHJP8U5lGK3F8SZChex+fSSs1jXfK3C6T//tKUYprNKlGKUsyrPmcCI8UaYfmKFWhqch/50OBgka3LRznJPPofV9ZzftG18tMqMY9qJEEC5alGbmOoL6ikGLvrgiOyefDF9ZxBglmlr8SPO+AUYE881vH4NoFkiYWMG/bAXbjGkCS+tsAy1v8NiWVUi5IgqRalJSoJJI34IJZp6zOk9kJlFprM5HddW6lpNma5VmqeJJe048lltVSKHMuU4kmOvM3AZ4qZKsXQF01brdI25Q+fPypehPhPO0s1AsmLQjHVyGPr8zVirA+0OmRW6Tz4UgtaluxXegBOBQK+pymt0sNwqq8dTjVyuZy2iUk3XCbbrw3AfRfa4KdPkmUYJEN+txiDJEGGus+w7pDEl0ZoLeJ5iAz5fsksUiCdzIiQ0ktTYkQpVmrWsfS2PKY+nsZMlCKPn0aOphRPEVQiyaZaCJ2b/tFo5Ugy5L/rSqlGHttUY/2h1SEzRefBEWIXPAGcgIsbHoCLD3IeQ1qlLL+QJRZjcCQ5Dj+DBTNKOQEwSzEG4QmyBUllKG1SnSzD7jFN8H1TZRIKx5oQz4GkegwRWkHsF0qcKRYXLKb0smJ8aZmdWYk02krNUmt5kmhKSbAJWbh5jq+PU0kYKdYIM51LMS9x0jY9Y/nyko9R7JhpBCljFFJFyjgiL0jVVo2AkWM1IdWh7EhDQuyBtyiH4BJiDsBZom0AzoKfx/AYXNxwEj4Jh3FD9i/ltkyiaYu3jeJlE/DkPAE/Q4W0RJks0x6v031FZcs1mQ0qSVRerLmd/N6HCC0tcSZNKUYp+3IZxDF1Rqgmi7SYolwGtS50LI2ZKEWNPCTMfUMxzWr9zhtZpMxKRFGEwwcOVG38F7ZvBwCcu2EDLr7iioqNG8pW5Y0XSd7LaafYN7VNPJb9U0N9VDlmqIeq/HeY9uWt1j/IUx1Uh51wRLgQbiLfJQDOjJ93wV2sjgH4LYDfwCnFBQCWxfsNAdgXb9MJ4HQ4QmS8cRK+KfgIfIyxB47YmKjTBN+xRpZhdMbnwH6l/O6RIEmiQHLyXlr//KPGGSiYZMPvIclKbiNLNEKdaDRpyhhliES0WtTxP002aQSk9w+ps7RtNSJxy4rpydBKGnnlOR85nj5+NWFKsUZYd+GFAIBfPv00vn3HHVU7zv54TsWm5ma8evXq4PRRM4X+MfA5//FKdceLRJpqlFPjyPotU42NA35WtCw53+Fp8X0vkpP6HoZTh4NwSTYL4MhrFN4qbYMrv2C9ISPgPfG6ETjSbEKyn+kYfPu2SfgJfmVvUs6Gwe41squMJrBWtU3I6pSqEPDfOank8iTOhDI6Q8qnUGTfUBJMllLMSqKBWE6EQhdpCT4hpJ2LRLnJNcWOXQkYKdYItDWPHzlSZMvywC/MTG3avMcB0v/dMd6i7VQZO2ScRxIlxHP9ow49BpLkWK7dY0iHjB2yzGJBfGNmaQt87eD++L4ZTkXOhftcjsIpvgJ86cUI/DRQzFAdi7cDvAocgVeBVKKcp5AzTFAFMumHHWmaMH3OQroTzAaVCTD8AxYqoG8R62WCWRqhye96KKtU26hQYwHFrc2QjZonppgVTyw3uaYUi7MYEZZ6/ErCSLFGqEWLN6B2Wa4akixlnRQvHLxY8EJBtSjT1JkSD7V/MdUIsQxIJ0cjxvzQ6rAXjszmxzeqwwm4uOABuDKL0Xj9AriLC3uZshaRccNjcKQ1B04dMolmAo7UmD3KBBz+vRuBT6qRMUPOvEHCBLx6lbPT8zvI75OsQwSSqlDHAWUWqfxe5iXHEPFkkSO3zUqCCdmoxfbPUoVcJp9nxS/TziMESeylxBNrDSPFGiGtfrDSQd1qK8UQQnYqLxqyPZz8dy0LmXlxo/0lE3DyqkazVCsHqQ5lIs1C+MxS2pkHAbwMR4xdcOqQcxy+DN+2bT7c53IiXtcaLwOczToGR2pd8ePB+BicFWM0viex0SYlGU7A1x2S6KQlyimitHrj903OPQiErc4QgWlyDJFUqTYqxL55k2B0fJLQBKef51WKtU6syTNetWCkWCPUWylKe6NaSIs1FtRjXoxIegX1mHbYTFQjMP0CIM/LiHE6pDpkmcUCODJkXJDq8Agc6R1E0iqN4nXH4IhoUXw/AEd0zfF2TXCEOSqONx5vByRrCCfg6wzH4Vu5STIsINliDZjef1SXUJBANTmG4od5yTFLVWURXB4bNSsBhig1npj2G9FjV0ol5jluKURYig2bF0aKNcKCxYvL3rdUNcmJhuuJrMxQqRhlDZi0UbVqlPsCSWKUxzPVWB6oDtvhO9IsgrdMO+PtBuBs0pfhlNpcONJsgVOLx+DeU+4zAkeSk/CNvIfhY4S0TllXKOdUZLkFp5VicgyJWU7pJBO4WEgvMz2bkfwehchRNp3IQ45p1iWXSbLkvmkZnlnfxzwqkfsWiyeWMi7HzooN5v396GOknVOpv8dKO23VGtOgsOmKK7DuoosAAP19fVU91j1f+AJe3LULAPA7V15Z1WOloUk9ljdZisFuJO3qMVt20cKTJRyhG2OW8tg6Wy6LpOv796G+IEGwI81pAJYCeFV8fwZ8HPAAgF8BeDHebzlc3eEEXILNYTgiXAz3uR2DI0rOejEJZ5+SINvg6w/b4bvVUAmyNZwkP8DHDDmXoSyr4J+oUAxRl0HoeGHIRmWpEUmM1iuQraI0mfBPoBxHfidDxEqkESn3k6+HCBF6aFy9bWjsEEIWZxomkX6McsbT41YaphRrgFevXo3WNveT/uW2bVU/3ou//CVevXo1hnJatfIHVcxmLcWGlT9GnYgjyUuSm24Pl6UaeSGbqWqE2u5UgVSHbMi9CE759cLF8ybhskFfhiM+IGmVssSiHa7esABHhGPxsh44EjsB9/5zDkSdMMNsUpIQu8voWkGp+qjYqPJkX1GpAlvU9tr+DMX8NAmFrM8s21MryTzORTGVGLIcZ6oSs5D1m8jze8mjREsZT49ZzPotF0aKNUCtk1+YzNNZ5hRVhExmmQm0itPrpJ1KG7VZ3RfUjRe8CTUGL27lxhrldrMVMnbIMouFcApvAfy0S0NwpLcfzjblds3wVmkBTl3KuGErnDKcgJ8UWE7yG8HHCEfjG52DUXgyZAYqbVNg+swUIXKUKlD3E9WxQZnIVaw2MESWaSpRLsuyUKH2CyXKILCtPqZEHuLIIpQ8STVAcSLLioPmOVa5Y84URoo1QK3LJJjMk1cp1hpaNfKeMR1NiNJ+lXGfaqpGYHaSo1SHvXCERnU4D96yPATXdeYwnLW6HC7WyCmfxuP9O+CI7gjcezovPs5APA4bgrPInp1jqBTZ/YhNuaV9GSKiUGcYqkKu1ypQbq+JLo+aK5Ygo2OHRCgel0ZGpajErGPKY4SOk9fCzFKI3LYYKedBqQqxFjBSPEVRKRUIJFVaoYSx9Tby3zttMH2fphpD5zET1cjzmS3EqNXhfDhluAiOGOUs9wfg7NIJOEt0Ptz7zi41rDccgyu+j+AIk91pWF7RBEd+zB6lHc5Wa4wHUglyPZBMdOG5y88jVCCvVWCaRSpJpli2qLZQQwkyITKplEoMkVvW9zJPUk2x73u5STVZr6+c8STyWLCVgpFiDZBmn1Yry6lS9qlEiOiKkV/WehlTJKRqZDKOtFNZh8Y6Nc58IFWkqcbpoDpkmQWt0tPhLFEqtYMA9sARo7RKj8LZoG3xfoCLM47BT+o7Em/DhJlR+AzTNvgEmlaxPTBdGcpZ6plJqslRJ8pIsgOSRKITa/T3IU19pV3gQ9+VEJlUSiUW206jmF1a6rg6ASaPXZqFcn5HtVSJgJFiTXCq26d5knM0eVIxSnJkETbjUPyh6pZx8pilqkZg9iTiSHXIRBqS4WnwhfHHALwER4ptcJmnnfB9TJuQ7FAzDD9DxnC8jOUVo3BqkSRMW1S2Y2OpBeDtcV0Socsw+KdHJ4XJ15lGZJqgsogNYhv9PcgilJBK1PuV8ic4r5rMOres5UBxG1YeM+u7f7LbpRpGioaSkYfkSoFWjfI5bTCqRznRq1SNMkN1JqoRSP/HezKpRqkO58LZpGfAkSLV4QCcTfoS3HtH5TgaLx+BjxsOwSXXtMHZqaNwZNgCR44kQ04pRSWvSxykEiT5SRu0CckJfqW6kZaovJgXU418P4Dsz7nY9yCLqMpJOMmrEEvdNnTsNJRrlZZyjFLHyztmtWCkWAOcdfbZAIAoiqre0QaYuX0qSa/U2GNWXFFfrEKPNSFyTCpGZiZypnQqER1nrLZqlNs2EqiaWGaxEI7sTo8fk7AOANgNZ3n2xuua4BJmBuBrC9nom51o2KO0GU5psvC+Od5HZpOS4IBkQX1I+clYMslQ/skhqchYIF8v1POQatR/5PT3M03dpT0P7TMTG7TUeByKbFsOEUrkUXR5iTCP9Zp3zFrASLEGIClWe9ooohz7dKbqL23/EDnmPZbcTxbry0L+UbWukrFGIPvC02iWKtXhHDhCOx2uuH4RHKEV4EjwJTgl2AbgbDgCPYFka7YIfraKXrj3YCgeowvJWSikTSqVIWOCkgxZMwhMV36ykbwmCK22tEILWaSl2qPIWJ+HrGb6fZhJvDHPujyYKRFK5FHRcsxS/xRU67dnpFgDzGTaqHKScaqRaAOUl2xDpBFhsX/w0lKVvStb1U2T5AiyVeMEknbbyawapTqk6jszvp0GXzbxMoC9cARGG3UIvij/tHicPrj3hylhg/F9Z7ycjbh1zFAnyEglSPWXx+ZMI69i25ZLSnKf0GdczPacqULMs51EudZinoSaYqimVVoKGcqM4UrDSLEGqHYzcP3lqEWiTbnKMs02zRqzSSyn8pCqka3gmN04DB9jDKlGebxKqkaOWUtIdbgAThmeCacSe+LzOQxnlR6FiweeBvc+HIQjtF6497AffjonFu9Pwne24R8OGTPUnYiYIMM4sFSCzByFeE7I97YctR76c0UUs0Yl6hnLKoZqWaUzOXYI1bZKq+3QGCmeQqh0gkza+DquWMxC1apBgxdYbs9YI7NSJ+CLwIfhCZKKRqtGKsVKq0ag+j9YeRz2LO2BI8ElcIS4AJ7k9sIpxFYAr47vj8brOC3UULysA44gR+AIsD1+LaPiWPyTITvKMCtY9hyVMUAgTHhZ5Je2LhRXDG2fB6XGEctRiDNNpsnafqao9Pe02sk0tfrDaaRYA4TmUizHFi31eNo+rRYhlmqhFlOLmkz1hRRiOclMNhjnfH3STh3F7FGNBbjX2QWn+pbEt8VwBDkGFzfcDfd62dS7H77s4nS49+Q43Hs1F36Ge9l4uwDfqJulFHKSXhmz5TrAK0gdE+T5l0KMeZJe0tYVs0bT1mUpzTzKs9RYYDkolVw1KpFMUw4aVSESRoo1QK3mUtTHq5R9mkVipeyrUSyeWAwyU1UqRhKjVIyMSWapRp5Do6pGqQ7nwZHdMnh12AyXPbobLmlmLhxpjsJlmwIu3jgJFzdshlOGLKegDc0mCZySie+rTJiRjgDf+zTLtFTFiMBzjSjlcWibUogyj9KrJEpVh3kIpdj3rtJEWE2FWI9YvZFiDRBSirU4XqUTbUpBGuHlSbgJqcW0JB9eoEl6LXDKhp1UWDtHQiymGqU6aSTVSHXYDZcduiy+LYaL+Q0B+A1cv9IOOKu0AEeSjBsW4NRiUzwOZ69vRZIMaZPK95efD0lPk5zOHJXkl6YYiTTyksvSlFto37yEMJnyODRGrazSmaCUPxLVPlYI5SjEesTqjRRrgHKVYh7VFCKYWnW0CRFc3rhlmvrMoxZDF2LAEyPgCKQDyfkZh+JbSDUCYdUoz2umqlFunxckok44NXgmXBnFWXBJMxFczPC3cER2FpytehTJPqWD8bnJcooWeAKUynAS061Q/lHQJJkVB8x6vXmIK8uWTCO3PMv1ukoQYiVQir1bDTRSMg1yjl8NGCkaaoY8CTd51aJcptUL41m0UkmOg0hmqkrV2ATfjFrbesVUo9ynkpZqc3y+PXCK8FVws1Usgp/E90W4uOB8OEt1EI4k2+Gs06F4mUyaYdcZOTkvCVCSoawplNmiWUoQgW2INJILkVeWQizFFp2JVZqXDGeyXdq2edfXUh2WM14jZ/OmoWRSjKIIR44cQWdnJ+bMmVN8B8NJYZ9mqbuZJgWFkmmyEm7yJt9ISxaB5yRFqkWpHPvhCGMYPsGESnEcpalGoLKWKtUhE2mWwdmhZ8Fnh/4Grr6wM17HEovmeJ9heDLkPIWMR7LLjCRDqbr5J0Mvl0ST9fo0IWURm14utw8RW+hcQsdOG7PYdqHnof3LJbhSMBMyrMQx6jFuvdShRC5SnJycxNe//nXcdddd+PnPf46uri4MDw+jt7cXV111Ff7zf/7PWLlyZbXP9aRFtRJt0oiMx+nq7U3dt1yik/tVKps1j1oM7ZOmVmQSDeAL/Nvh4m8ki374lmWNoBr5OtrgkmSWwBHe2fCF9S/DJdJE8foWOKt0Ek4pjsMrYjZPl+UUQDoZynPVZJhGhGkJL3JfTWBpxFYKGer15ZCh3jb0PM8+aduVum0p67NQj3ilRrnlFrXKMM1CrmvjpZdeil//+te47bbbcPjwYezduxeHDh3Ck08+iUsuuQQf/ehHcc8991T7XE8pzESdvbhzJwBg3eteh83veQ+A0gismrWMWUiL8/CirO/1skm1Ti4nMfTCEczpSE6u2wNHmB3wSTqcEJc3khbv+RjI/rOQ9VlKAudME8sBnA/g9QA2wCnEYQA74GKH8+DUI/uSdsX7se2a9G84ryETddiTVHYB4nppkRJ5PpOsx5Lg9Gein6cRaJQyFnIuDz2X24ae6/MJbZM2tty+VKSNJY9fCdLIOk4lxi117Hok1KQhl1J88MEH0SXmASQWLFiAd73rXXjXu96FgRpMiXSyQtunlahRzCKu4UHXmKtQKGD5ihUzOk6p51oJQk1TjkDx+GIB3h6UaBK3Lvipj/rgSOQ4nGochI85StXIvqmsyaukamTscAGApQBWwqnDBXDE9xs4hdgNF1cchCPDzvjG5KEu+Cm02sW5yvdGKmz52ZKkQojUev3nRO+fRm61UIZ6XR6Vl7V/1n6V2LaSqHf8ECg/hljuuVfjPc1FiiTEQ4cO4eGHH8bcuXNx/vnnY+nSpdO2MUxHresUi83fqIkuL5GlqaFixFnun4AQ8YXOVV7kWUeniVEmkkzCxxrnwKnHbrjyhRPxjdmpOtYI8TxEzqXEGpkM1A2XVboSwDlwyrAFvldpAU4ZTsAl17TBqcWReKw58HHQDiRnnw8RlT7fEELKPA8xlkOGenuo9ScLGWZtn4ViF/ZGjx/OZOyZvrZKCAyNkhJt3vzmN+O1r30tAOATn/gEDhw4gLVr1+LRRx+twqnNHtQ60Ub+Qens6irbOm1KeZy2TSHlsd52pmoyTS3yGCGVEToXzjdI+3EuXJ/QI/DKsVqqsRk+Q/TVAFbF971wxPer+LiL421J1PPic4jgCJBj6obbklD0ufG8uG4C2STYaGRYbF0xQswTN0zbrtRt07bPizyk0QgKsVyUG0OsJsGXRIrt7e246667pp6PjY1hx44dFT+p2YZSlWKxfz/FSKWYUkwbayZklTZOk7pHYJ2Oy4XidFkIkSDn59MI/Zg64AixF86yPAjXAeYwnL3Knqqy0bgsVShFNQK+rdpSAOcCWAHXnWYczio9DN+NZjAev0cck/MY6j8EkrDk8lAcdkIsy0OKehyOL9fpz6EUmzRtfaOTYdb2WfsUW5cXeQil2rZtuZgJ+RZLYpsJSiLFK6+8Ej/96U/xO7/zOwCA1tZWbNiwoQqnZSgXlbIyS1GJeQkxa99yCXIyZR2Xh4hxTGwjyaITLvFmPlwSzn44C/MwkpYqu+FQNQI+9pmlGgvxMU6Hs0rXwiXVtMGRMEsszoYj4HE4oqZt24HkRSBEaloBTojlk4Hn5ShEiPtSyFCuy2OJlmuVhrY/2QixlmptpiiXmBpRJQIlkuKGDRtw5ZVXYvPmzbj44otxwQUXYOPGjejNSP031N4+7VT2aRryqMRS4ojVJkT5vBhZptmGxBiSF+0Ijny64tsyOGJcDFcCsR++S4xWjdJKDalGwP3Q5sMR3nlwCnEenE37b/E2S+FVaLd6jZKUQkov7RaJbbUinEA+AtRkqImtXmQYel5u7DBt33K2z9qn2Lq8qAZp1oqIKxFHbBj79CMf+Qi+9rWvAQC2bduGL3zhC3jmmWfw61//uionN1tQyUSbPEX2pdinWePkWV9Q93J9Jcgv7blep8sJ5PNiBEm1QyIZhyOlHjg1twzO1vw1nHIsRTVSHZ4FYF18Wxpvuxsuu/R0eELtQfIftCQ4Erk+5jiS516uKgTCBBmKFyKwfKZkWMq60PNy1WGp26Ztn2e/PBfzSpFTNYljJmM3Qi1iFkoixRUrVuCqq64CgKl7Q3E0ilIsNVMrq/ZOLqsUIZa6Ti/T26URJpBOjiSBMTg12AsXZ1wMlxm6A8DzcHHH/ngbTrGkVWNrvO8KuHrD1XBW6UG4WOVC+JpC1guS6EbFbUw8DpHhOJKknidWCCRJPE0Vcpm8TyPD0Dr9uBrqMLTPTAkxC+US4kzHLmWbahxXotpqLQ21OGZJpLh69Wp84hOfwKc//Wm0tbUV38EAoPFKMoDiccA0ZGWQ5iHEvOvSHsv9ZrKNJE1ap4RUWqMABuDIbQlcneBuAP8KYBecpcrJjElak3DqcBkcGZ4PZ8UOwBHpYriYIsQxhsSN011pIgwpQhIbiTESy0iQfI1Ztmg5ZCiX1UsdhvYp5QJfK8s0z/o8aARCJMohxkZWiERJpDg8PIzvfe97+PKXv4y1a9dOxRRvuOGGap1fLnz/+9/Hli1bMDIygssuuwxf/vKX0dzcXHxHQy5kWbYhtRZankaIWY810TWlbCfXyWNlkaUmTv0aSVaSHE/AkeM5bcC57cCOE8AP4MonSGaTcLHCNQBeB0d+vT3A5CTQ2go0twCD/cCJYV/20S/2l5asJMG0hBkSYSlJMvoxkCS3LFKbqTrUqDQh5jlOsX2roUZqaZvmPR5Rjp05W1UiUCIp/p//838AAOPj49i5cyeeeeYZPPPMM1U5sbyYnJzETTfdhH/4h3/A2rVr8e53vxtf//rXcd1119X1vCQaxT4tBXlKKPKOEVKlxUgwRHh5lofasYVamen90l4X7VBmgw4AODQKnD4KrJsLbGwFth0CHo/Xz4OzS1/fBbzmfGByAjh+CDi0D3hpwNVA9sXjjMCRLeOFMiEmKyZYKhmGHgNJckyLz4VIK0SIaciK+1XDaiw1NmioHRo9wYYoiRQHBgbQ1dWFlpYWrF+/HuvXr8cHPvCBap1bLjzxxBM466yzsHbtWgDAjTfeiNtvv72hSLEW9qkksZkm2uRFMZUo0ZTxWJNmXkKUZNcs7rku68beny3ieegxxw39UA4cBxZ2Ab+/Cfh9AMMDQHsncGA30HcYePynwCvwsUeqPxKejgXysSS+ULlFWmKMJqtihBhCKcvTVF6pY58sqOb5VzqWWAqB1OpzmWmCTUMqxTVr1qCzsxMbNmzAxo0bcd555+HOO+/Et7/97WqdX1Hs3bsXy5Ytm3q+fPly7NmzJ7HN7bffjttvv33qeah2zTB7kBUXlSQryVWSZUt84+wazXC2Z1P8a2mKnfnOEaCzC2hrB1ra3H1zCzDYBxwbdnYrp6bKIq80ZF1AqGDz7hO6IKWpREPpqMV7WAqpzMbPtCGV4u7du3Ho0CFs27YNTzzxBP7rf/2vU23f6oUoKv412bJlC7Zs2TL1vKOQ1wCsDE5G+zQPIrgf6iTCtXkScl3ocSFjWwTGl4pHKlaqK3a0IemlKcxQrDOEpnF3SzTvjnf8l39xscXRePkqABcuA37nHGDoBHB4P3Bgv8s6PQZnnQ5hejapbBunawt5nuxxOqleo/wMopTH8n0sBPbLQuiCLPfLc8Fu9FT8mWCmF+x6vje1OvbJ8tmXPMnwwoULcfnll+Pyyy/HTTfdVPckm2XLliWU4e7duxONyhsBtbBPJWFUwj7NIjhJRFnrOYbcXq9LI1X5eCIwliRA1vhJm5XZpGnkF7J80xQkVWMnXMzwLAA9C4DfHAHufQX4BZwqHInHWgjgiT3AhXuA17QA3fOAhQuBRU1ANAn0HQGOTyZn5hiEL70Yg69JlEk2kuz5vEUs1/G6EBnKx7pUhcv0Hw1NfGnjQm2Xth451uVB6GJejLxngtlM6rXATN6/Wirfkkjxpz/9KTZs2IA5c1x11aJFi7B79+6qnFheXHTRRdi7dy927NiBtWvX4itf+Qquueaaup6TxmxRiiGiTFOLejky1snHcroj+VjG0rgulKwDTCe9PFmtJBWZqNMC17S7E64X6WIAXS3AgXHgwSPAswAOwZdSUPkdheuA8zyAC8aBtYfc/v3warILrm3bAjgyHYJXkLokI1SkL2OQzUgqytA9xGP9mUSYTo5A8g8Il2cRo/7jEyJGfWHMuy70PLRPKUjbtxo2Xa2sv3KOV877V4/XQ1T7uCWR4l/+5V/imWeewZw5c7Bx40YMDw9j9erVOHz4ME477bRqnWMmmpubcccdd+Daa6/FyMgI3vSmN+EP//AP63IuaWjEOsWQegOyia/YMqIYMQLTyVCvC5Ej1+mkEblM2oKFwDaSLLRtS1u1HU4ZzoHrbLMAfs7Fn40DO+FIrw+ewGQt4SQcuR2Hm/rp3wBshJsFoy1+Pg7X8JvVvq1wRNkWrxtFkhil1So72+Rp58Z7TZS0YPVjQifShD4nPg+RWyFlX7kcKfsisC70PLRPKWqxVGLMIuFiRFFsfV4LGjm2KwXl/LEol5hmev4NF1P8x3/8RwDAwYMH8fTTT0/dLr74YoyMjODFF1+sxjkWxVve8habrSMHsizRvNvLZfpCm0cVFiNK/VwTYojkpL0qzyvteNyf2zCZpi1+3A5HhnPhJ/H9JZzyewmO7GRJBRUcp3Ti+bAo/yhcwf8GuLZxp8f702OZL86rTT1m8k8bku3dZCwyL0GG1CSQTpR8v6VC1ASnVSbU9lCP0whQL0fKutBzPVboedp+5WAmxDiTsauJWh53JsephWLMRYrDw8Po6OiYer5o0SJs3rwZmzdvnlrW19dX+bObJaikfZpHoVXDPs2rJvMSI9cD+chRP9eKU9uC8nnITi3AZ5m2wE863AFHiJ1wpPYSHHntgasx7Md0dZjWgJuPud9BAC/C9T9dCaccD8djt8O1lDsen1ubOH++XrajoLVL25SxRd3xhseP4ufSZs1Skfr9C5Fj2uciEbpoZalGPV6eY8ljlEuMaeoldIyssfOglrZj1vlXauxqjZ+Fah8vl3C4/PLL8T/+x//Azp07E8tPnDiB7373u3jnO9+J7373u1U5wdmARrRPgeSPOs020xaaXh4aI7S/XBdaVurz0GMJbY8ybsjEGVly0QE/2XBXPN5+uJjhz+Haub0Mp/j6MV0l6u4zknCo0IbiMZ8G8CiAx+CajHfDZau2wJHvcLzvMbjknSE4m5alHVIdFpAsJeGNBN8W3xgbbRXPW8W9TiiS75Ws/2xB8k+FjMk2BZ7zxs8DYhukrA8t1+uQ8Vz/YdT76/Gz9k07Rp7tsy6sxS66aePqbfJsVwrKGbMcgqrGuVcSuZTiY489hrvvvhsf+tCH8Nxzz6G3txfDw8NobW3FVVddhVtvvXWqeN4wHbVMtJlEtlLMa6GGFB9QPL4oVSHg/xk3qe3y2qtp9mcxaEXICzztUpJCGxwptsf7HYVTdpxHkVZpWglFSB0C08maBMnxjsCR5Gq4RuNL4DJbX4yPuyA+96PifMfE69KWp3zdhLadaTXzubZT02KP2lqVaid07GLKMRRvzBNrlNuHjpNmv3JZXtVYixhjnvgiMsYuBdVUp+Wq0Ua2UHORYmtrK2644QbccMMNGB8fx6FDh9DZ2Ym5c+dW4ZRmH0pVisUIIMtCBUoryQgRWl6kkWVonJkQYxZCCkWqmGKE2BZv1w+nzA7BkdIxOPIaxPTYoe5Hqu1IvgdA8kcbif3Y6eYgnEV7LlwD8VXx8X8b77Mw3v4oHHE3w5OjjrlG4j70p0TGC/l+se4xiwyzYpAha7UccqyGparflxDRpNmwejtuW2li1McuFXlt3Fratnkgrw/lEGQ1X0vJdYotLS0444wzqnEuhgpBf2FKJTs5TjG1WIwYs2KM5ULHCTUhytZsWYTImS2G4EjwCLxFysmE86hDvt6QOgTCP/oJ+NrGo3AkuRJONS6Gm4j4Jbh4YydcpupQfG6M7nN2DqkAeVxeBDU5azJrgVeNTWobqOdaMRaLO1aLHLMUZej5TGKNpRCjPCe9D8+9VOQhvXLjm1njocJjpqHcY5TiGpWKkknRUDoarU4xS4FlEVYeYiy2XyloUo9D51VQ63kfIkQ+pkIahIvXHY9vJ+DUIeN3lVKHEvrCOAxHuENwCvFluIbiy+GU4zw4YnwRLkt1bnyeo3Dxz8n4XNvgM2BlAk5IRfI8NFHI9fxzIQlWk2banyY+ryU51lI1ZpFcOQRVjDTzkFSe41ZCmVZ67EZUjEaKNYC2T8slCYks8iq1o01eIpzpeeVFIeUxMJ38CmqZtlCbkEwaieCL7fvgCIbW6TBmpg5LIUOJCTiC5tyNh+CUI1XjufCZq0fg5mbshFO3k3DkyG44JEdmm/KcQxfWUFwQSKohbb9GgWVyu6xax0Yhx6w/A/K1QG0XUo1I2VaPmbV91nFLQaUV3kwJqxQ0kmIsacx777132rIvfOELlToXg0Cl/wGV8qWrhW0SglaG8rEmPx1HlOskCXJdBEd4jBsegCOeQ3D2JVUiO8oUyywNJdYQpRAit+ecjUfhyO/nALYC2A5HiAsArIcjyX1wirIHLnv1ePzaOuNzHYK3VIfjY3D8SXjCp23K10GS1yqSkGpd/xFJe6xjvKHYb1PK9lDHk0o1bTkCy9P213++svYPbSO3DSHtz2HWRTd03GLHLxXyvc6DUq4HpYwrEfpM6oWSzv9v//Zvcf3116O/vx/79u3D2972Njz55JPVOrdZg2rZp2lf1letXu3WT07i4P79wW3KJd2si3+5SPshyLhh2jp5EZUkKC/gY3CEdxyOBA8iSYZykl/ZezQ0x6FUh5oQ5TIuz3qf9fYR/JyNr8BNXvwUHEH+W3xuy+HIsQOupOM4XLyxHU5FjsPXWA7D2cbskEOiZF9Yvi7Akz7PQ6rIEPETaapek5b8PLQK1M9D5JWHBPU+ensgTHRZz0PfvzRiTNu2lO2zjpt1/NAxK0UwtSSsev0hlyjJPn300Ufx+c9/Hhs3bkQURbj11lvx3ve+t1rnNmtQ6zrF+YsXAwC2P/kkHvrGN3LtU0kLNS/SLiKhC5dWiQgs0ypjEo7Y2FuUjbdpn8o2aqFZ7kOF7sDM1WGxH34UnzcV4HG4eOPZcKS4AC5L9TS4LNUX4CzVRWLbLjhyHIzPpV28xlbxOhk3ZKKNtFvl8rQkohC4vYwp6theaFs+l5DrCDlmlnUqLU9t9ertILbVz/PGGvVxJNJiflmWabHYZej4pUK+33kcjVLHrXWMsRIoiRT7+/vxzDPPYMmSJdi/fz/2p6gQQxK1TrThcQYapMtQSAGEttFKo5htCrWOIKloQkwjw1DsMJRMkyeztFIXFpLTELwlehxODS4HcAYcKfbC9VfdC0dwp8NZqkfgVHBPPN4g3HvUDve6SyXHNEKMkP2aNTHp/fVyTaShdXIbuQ5IJ+FKJOOECCR0EU8jmnJjjVkoRiJ5yTPPscshrHLjpPVUjCUJgAsvvBAbNmzA97//fTzxxBN48skn8da3vrVa5zZrUK5SzPNlCn15eJyhKivTmdgpaQSZ9wsZsuN4UR+Gs0T74JJRjsb3ffBxw1DsUGeZ6jgij1EOIWqrNC+i+BxPwJVo/BLANrhY4974mK+C66vaDaccX4HLWl0Q73cCrqF5G9z7MgHfS3UUPjlmVLyOMXEOMrmIfxr0ciDf69NkErLl0qzPtP2aAuv1vpW0VGeKrFhj6DWXGgNMO2bW66jEMYqNXQrqGWMsSSl+61vfwoYNGwAAc+fOxT333IP/+3//b1VOzHByQhMVUU2VSFVDhTgKrxCH4bvRsE1aKeoQCMcOJSppO6WBZE/12AdH9svg1OE8uCzVBXDt4n4NZ6cuhvsjcBiOCLvh3ot++G4+bC2nyzoQb8v3mUTZhHA3HH4uOttVZ6qmIUsxhRQjxOMs1Zg1ZqOpxpkgz5hpNq5Gsc+rnPMvxaol6qEYSyJFEqLEf/gP/6FiJzNbUS/7tLNCx8v6V13KvhrlqkRC/rCYXUnyC5EhbUOdTVqv2GGpoJrja2Xy0BG4NnGL4QhyLpyqfAmODE+Hmxj5KFySURec7Upy7YAjQUmOk/AqsgCfnCMnOZYlH7Rf5Wtm4g4vsGnvY8iaLXbxDhFjFkIxSC6Xx81DjuV+rlmxSXmMtG3l8tC6vChmg5byOyzHUi3lvOsRY7Q6xRogZJ9WK3lFHkfbp1nJNDNB3tcRsruykmrS9geS2ZG8gDNWSFJkYXy56rBRyFCDqnEMvszkeHw7A041vhqu2H93fOuGU44y3tgLP/nxEFxiTiF+DCRrHtkMnFmsemJjGY/kOQKlEWIashRdaFuuzyLAmZDbTBJxKom09yIvkeT5I0GUS8CVGreWitFIsQZoFKVYbX8+TfmFSDNkl2po61RegKlQSHZytnrGCtNmrQ+pQwQeE3mzLvW21UQE35VHqsajAM6EI8BeuIbjr8DFGn8N10t1Idx7dQTu9cyDe19PxM/ZKWcI7r0nObLEA/DxRybrkDgBryqb4KewknHfNMLIG58MqbhySKicJBx5jFpYqpVShllJOPqYGnmPW6qqa1TFaKRYA1S7JEMrwFok2mQRbLGAfuhxsf0icU9yoyVKlUhynI3qMA0k+eNIkmMfnG06H44ke+GK/vfBJR0tglOVJ+DIsSXehj1Zm+CUI7vtsF8s31NOhjwS38seqoxHUi3yopxGXvp9zXrfi21LpGWgch3U+mp/fpUYvxxLNc8f4UorxlIyU0sZl6g2QRopNjiqabPWEmk/zmJxRa3mSIbjSMYK5W22qsOs40vVOAhvqVI1dsNZqvPgslb3xMtOh8tMPQYXb5wTb8OM1xY45cjxW+BikPwMSI5MwmFskYqQyh4IJ+Xw/U+L3YUIsQnJz02+D2nI+wenmGLkuelz1cfIozTzjp8XeRJjQuNWutSi3PGIeluqRoo1QKPYp1nI848yzeLM2r+YdZoFnUjDW4gE09QhlWU1MkvrTYYakvypGvvgyJGqcQE88e2Fs1QXxLduuE4//XCqcR78DCLt8frheNwWOCXJjFiSo7ROSda0v/l5pClJncHKcWRMUhKiJA/9fBLTL9xaEZa6XmKmn33oWAicT+h4aQSSh1iKnXfeJJxGs1QrCSPFGoB25twFC2p6vHLtU/llK6e+KG2/tLH0j5kXVD4nwZHwJCGyhVkt1WGjkaEEiWgI3k7uh0/CWQRX0L8EPkv1ZTjiWxxvMwhnqfbF2yyAU41H4YiQ5NgPF1PsjI/DhgBAMluV51SAu+DIhgGAJ0C5LWvbJMnKbWWMks8lGZZDiFDrQ8/TLNm0ZcXILg/Svm/6j4JEsbhl1rjF1mWNX+545Y5bDcwGZ67hsf2ppwAAa177Wlxz0011PpuZoxL/0EJfPE2EOmaoO9PI5BptnabFEPVjHnc2EKIE1WIffKLNv8Epw/1w71833Ewca+DUo+yMcyZ8purReP38eMzjcJ9fN9x71Q8fg6St3QxHgPwjw760o3DvYWt8zwmTmc1KQgSShMjvBJAkwALCSrOUOGWxbdIsVYk0S5X7kaj1PiEyTtsuz7YaxSzV0LjF1uUdv5zxOGa9CBEwpVhznHb66VU/RqXrFGeKUn9YvMDJ+KG0SHV7NqpDqQxDnWhmk1WaB1o10vo8AWenUjUuhCO4l+GU42/gCPA0uHjiUbhZRbrglCOL/4fiZW3wf1Q64+cj8bHb4S4yMlt1Ml7fBE+OrIkkkdIObUK2OgR8KUiIvOTnruOUofUQz2cSX5TIshxL+V7p15HnGHnszmKKMUtdlqLstKrOSpLKO2Y1YKRYA5Q6v+FMUas2b8X+pWat1zYpIcmNxCctUrmMpJk3dlhOZunJSIYaOtY4CEdq/XDEuAAueWYZvKV6EE5lLoInzUNwpNoDR5rD8TbN8GUc/HZ3wBEeax7b43tmq0oyLMCTpU7Yoe2alsGapg5DZJo3yUdCfy+yiE1e6EPj5i3ZkNuWYrsWI5By6hpLiQkWI7OZJuCkjVtpGCnWAJ1dXcHH1coszaMUSz1u1vYFdZ93bE1Sofgh7bhxmDqcCaga+T6NwJFjHxw5ngZHiL1wam8eHDnuhSPEhXBdcRhbHICPNw7Gy9rgCHMMngw742NyXkcm5EjlyOcF+DhjWsKOTLyh7crXVBDr05J4isUGQ2qS26cRcN74IpFXMWbFDEutaSxFMRarayz2u8hDXNVMwJkpjBRrgNmqFMuFjt9pQiQZpiXRjMFfCMtVh6cKGWrIPxK0VEmOVI1dcAk3tFRfhpv4+DT47NVjcMqxHZ5I++BikEzGGYcj3GY45UjbFPF+VIpAuPBfPtdkKZNy+FyTIcTzPNYqUFx96mWEJpS0cdPGyZukEzqmRjkJOGnnkHbMrG3LtVSzUEtL1UjRkIpKq9is2KFWiJIYJSnK7U0dloeQahyAt1UXwqnAbrgZOObCJeccgkuyIXl2w/VWfQWOKHvhPivGG+fE+zIDlmUcE0h2ywHSlaQkywjTyVNmsE5iekZryCrNijWG1CQCz7NINS0OV+zCHlJqpRJp2rYSodchUQk7Neu8yxkvNGbWuDOBkWINkGafVgulJtoUUh4X27YY0uKG/CJPIEyIIZtU30wdzhxaNZIcGWucD2+dkuD2wRX+98Ipx9PhSzhehrNPmYxzIl5HwhyCJ8cueJu1gCQZRkiWdmgynBTrJRm2iue6NpLWbClqkssmkbwgh8YoZp1m2bI8v5mqRU2m1axn5PHSti+HuIop1VqpRSPFGmBoYACIIqBQqIl9Ojbq/mfXyz5Ns5/4nP+mSXohRahLK3SJBR/LMeXxTqVEmplAqkba1YPw5LgQjug64Wobe+DI70C8fgFc/HEJXFzxeLx8LhxpUn0yGacD3q5tgyNMkmMz/AwdTLgJkWGLeC7JkBmsuln5TMhQxjLlNlnEl6Ye046VNRa3LVZ3KI+RdhyJYkquUvWM8hhZ51PKeHrMSsNIsQZ4dutWDAwOoqurC+e/4Q0l719KQs68hQux5nWvAwC0trUV2bp64Dlr1SbJkBc/TYSmDmsPvr/8TBhrHIQjvvlwhNgLFw+ci2SW6mnxNizhOARHgHPj7fvj5R1wBNsejz0C3y2HhNwSLyPRAdOVZAumk2ELPLlLMmQtZIgMqSaldUoy5DZAedZpsSQb+ftIs1zTzkEiK85XCbVYSTuVx66knVppVJNwDTGe3boVO598EgDQ1t5eZOuZ4fc+8AGctmgRAOCJRx6ZWl6JgvtiCKkzXih4odH1hnpWC922jUQ5iTAxanLMQ4h6O4MDCWUEzvo8CEd8e+CyUA/AKchWOHt1FYCz4333wlmrk3CW6ulwnxcVZTccuU7CkeNIvIxkeALuO0rDfxC+zrEV/jvSCj9rhyTMyfj5JPw/fSZktcKTHzvpaMLUipRTZfGPglSLUoVqWzSUzSrrK5uQJF8E9tNkFDoHCV2yoqHtX7mcy7LG1eelIf8MpF1n0l53uePJMSsNU4o1Qt/Ro8HlpajARkXav2Ot6qTqG4O/KI0F1qe1aZuJOjQizAepGifgi/6pHOfBkdccAEvh1OPL8H1TF8ApxLPgVOTReP9eJIv/h+FUYy98dyLAqUk2ABiEIzVmr8oEnCb4P1Gt8LbpKHxjAGnF6qScFrEPf4ec7YOWMvfJE/tLs041oZWiOoHiqi7NdpXH4L551GJIwVZKLWoiC72ecuoZKwkjxRqhVk3Ba53UQ6SpRElsMk6oi+/TYoehe46fdtw852fIRijWyEScAXji64wfd8In4rwCR4YL4cs1jsOVcQzC2bAL4OOWzFTtgSfCJvgGAMxebUe6rcq4tFSSsmuOjlOSDKkcW8Q2zFAFknHI0AwgQDphkgSakfwTJ0lqIrBfCHkSdErdn/easEMKVo9dTi1jHhIuZbxqwUixRqjVnIrVromUqjCLgCbFTRKhJENTh40PqRpJjuxBOwCfodoOPw3VQThi3Atf4M8M1qPxeipEJt6cgCMvZqqy4TinqqJyZAySfVaH4YmP7eTGkIxLyi46gLdVmaQjyTA0g4eMM0rC1JYp92OsUjYWALIJrViSTVaCjtxfj5e1vz6nrGV67CwrNbS9RhoJlzteJWGkaCgZOimAy4AkGWpClNZppdRh3h+UoXxI1UiVNgLf73Q+vGrkPS3VI3DkNi/e7gz4pJuD8DYsi/+PwZMee6qeiB/TQh2ObzJ7VTYFALwt34qkuiwgGT+kUiM5ksAkOWaRYQHJmF+oTjJEhs1IfrflBX9C7KOPqceS5wFM/85n7c/7PJamHjvteOXWMaYdtx5WqpFijUDb9NWrV1f1OLWyT0PExB9qiPBMHZ78CKlGmaU6D44MW+GyUTvhLNEDcATIeCNLPI7DESH7qcp447F4G5mpSnJkAwDOkCLJcRjuQioTdDhLRxu8jQ/4mTv4WiSpyexTGXfkMsB/b6VFGspsJRHq/YBsu5Xb6mNm2aa1UIpy/BDSziV03NBxQuPltYkrgZM9x+OkweMPPADAkeIHPvKRkvcv9sUhTl+2DAAwMjSEnz36aMnHyTp+6Ca7zOiaQ/lczmwhs0qzVKImR61GNbJsHUNlIGOM/XBK8BW4WOJ+OAI8AfeZdsEl27wGTiGOws/fOA5HkGfAkddRuEQdwJd/DMOR4zicomTBvxy/A35CZcARZgv81GKMMU7C99BtQ7KcownJ2OQEktmnjF+S6Pid1nbrJDzR8rcBsYzfdS7TGaN6LB5TZsHK7SJxS8tADdmUIZLU2aFZv68QSUmknYvePnTstPH08eVxKg1TijVCloLjv7lKYMk55wAAnv/FL/CLrVtnNFbWeWmykorP1OHsR0g1MklmCE719cAptvnw/VBfgSNAqsZeuMmNORHyYXiFuQC++L8p3r8Xvp5xRIzL4xfglaNeBnirVSbgSFXIhBuSpSSKCbGNVoV6MuWQKpSkF1KKHL+YetP7cn+I5VlKMTSuPF4llGJI2RWzdrOOHTp+tX7zRoo1Qq2agjOR5+C+fWXtr+OFaf8YeS/JTarGrLghL6iViB0aGdYPOtZI+5ITQpMcqehOjx8fgrNTX4YjPCbr0FI9Ee/bA0dutE+Pw7eI64XPhm3CdHIEvIUqO+awZpHWr+yiQwWolwHJDNVQ31X+bjRhyvhhiMxCxJoWb0uLR8oxi8Uk9bIs9aiRN+klK95YCStVHqMaMFI0TCPCrEQaSVz8AY6rx7pxt1SHIVJE4LFEFjEb6o+0WKMkxl74TjjsYHMQzn4dgItHzoOfpUOWcHTDq04qylYkJzgegJ+NgyqRTcfb421ZC0m7lIRJcpQJOOySw/IOqfYkOVIVMn6oCXMS0zvq6Pgh30MiFD8sFo+UvwdNrnrMYspMLysW09MkmFcpEnmVYuhY1YCRYo1QqwSYStVD6i9diAxDxGfq8NQEP2P550hmqQ7DEeMcOKJZCK/uDsIX+DOeuAiO4PrgiLMd3lJlY/Fj8Mk4LO3QZRxMBGqGV44kTJIel41gOumNi2XyNeplgI8Tans0lNmalpjDZVlEmFbGwWW6BIRjQCyfVMuz1Fqx44UUYdb2GlnH1jWMxeKZlYCRYo2w46mnMDw4iI45czB/4cKyxsgTe0yrhwypP70eCH95tZqTykCWXGiSlNZqKerQyPDkhPyc+dlTNZIc58HXNXbDkRIt1cPwluo8OBLsgLNT++JtWMJBcmQMszMeZxzJ2Tg64mNJcmyLb5IcW+AbjUtyBJKlG5oc9TIm20jLlHamJkdtmUp7FEgSYR7LNDQmxHJgegy1lkoxDVkWbh6CrjSMFGuEH3/ve/jNL3+JNa99LVasWzdtfSWSbSLkV4ppx8siQx1DKqYMK6UOjQxPLoRUI63LYfgkHNqf85BUjcfhSzzmxvdzkCzh6I33p6U6EI/dFY9NwuuLt5GTHLN/q1SJQ/ANALLIkctk6YYs52D5Bi1TEmEkloVikVoVSnJMs0xLJUI+pxLOY6/qY/J5LZRi3qSbSsNIsYbYv3s31rz2tVXragOU1jmnWLaZJjNNeKYODWkIqUZmfjLeOBeOCDlzBichPgKnGg/BERhJlLWPx5Hsp9oL911kvJG1jL3wKlV2wqGtKsmR3XCkrcplkhxJmCRCSZiS9GQf1gKSlmkoFqkzVDURSqWo45F5LNMWsUzPAKK3LbVBgEygyUOcoVpKHjeLnCWqmXBjpHiSYSaKMs1C1Z49l/EHKG+mDg2lIC3WOCxuMtY4F44kaakegSvjoHKcE6/vh7dUqTLnwVuqxzGdBFnIz8QbObGybjqeZquSCHXz8WYkCZNExkQdWdeYNxYpiVAm64TikaHM1XKVIpUqzy3NtgXSCQ8IE1dIWWZZuHp56DiVhpFiDVGLpuDyGCECzYodAtPJkF/iNHUoH2tFWY46NDKcfchSjYw1StXYDq8KSY60TZmI0xuvPwYfV2S8kSUcrGXsEOOSNJl4I9vEsS1cB7zyG4YnxhaxLcmtGUkilLN1SCKU5AiEyVHHE7OIUCrPLKUVKsqfDGybRoTatgXyxRND6+Q+WSpRLodYH0q4qQaMFGuIYtZmXhWYtd38xYszj0GkxQ75XJNcsaxSub2pQ0MIIdXIpt60VKVqZMxxDpxiPALfLm5evH5hvN/x+CbJsQN+yisW+pM0mYzD3qisceStLV4+iSQ5Mu5I5VhQy9JUIjCdCGVSDpAkQmnBFstaleQYIsJQc4Isu5QEmYcIecsiwhBx6mPz+KFz0uvSjlMpGCnOInzgIx/BqvPPBwA8/fjjANIJNM0ylT8MefEydWioBNJUI2N3I3BKkMX8rfAdcagaT8BlqTKeSIu0P153BN5SZQbrAHzSjSz0Jzmy4TgTb3jT01XJEg1NhFolIt5G1jpOYjo5hohQ9metJBGG8ghCSjUrnpjHLs0TT9TnkreWMkTClcRMEx4rhocffhgXXXQRzjvvPGzYsAHf+MY3ptb19fXhqquuwsqVK3HRRRdh586dU+u++c1vYtWqVXjNa16DT37yk/U49dyopH0aIpe0WkgdF5RfLn45mXYuH7NHKa0kaaGGVOOkGpPHkOcgEYovGE4N8CLPlm0kM3a7OQSn/DjxcCdc7eIyAGfCEdhxuH6rR+Lx5sK1jOuO9yOBNsNnsU7CWa798XIq03E40pSzb7CH6qA4BxLcULwPp6hCvK9sPt4MT66AV5pRvGxSLAP8b4ydd5owXSmS9Ng+UWfHMnYoe7fyT620KEMKVC8nuWlFKIlI/qaztuc+vFZAnU/I2k0jyazM10qgYZTiwoULcf/992Pp0qXYt28fLrjgArzlLW/BokWL8Fd/9VdYv349/vEf/xEPPPAAbr75Zjz22GM4fvw4/uzP/gw/+9nPsGjRIlx66aX4wQ9+gDe96U31fjlB5MkMLSWRRm+bp5WcVm2ayPillepQW6imDg2VQEg1yqJ/3ljX2ArfEWcOXIbqsfieiTi0VNkVh5MYU3m2wccbh+HtVM6owZk3GIfkPI6yO45MyGEcUs7Awa45rJOUyo9Wq/xToFXiiFjGxuV8jxjHlOSYVyXSFpXXjAmxHCheDzkplmkSlMsh9pHjpM0AUopKDB2nkmgYpXjBBRdg6dKlAICzzjoLp59+Ol5++WUAwH333YebbroJAHDllVfiV7/6FQ4fPozvfe97uOyyy3DmmWeipaUF1113He677766vYZioEI8e+XKio0pv0RaKcp/bJL4pBqUSTS8jSGpBsdh6tBQPUiC4PyJR+HITqrGIbjvUwdcIs4SuFk4uuN1L8fbD8Mry/nxMY7BKcoxOMKcD98F5zi8VdoLT5x9cN97xiILcDYsY4kkTfZWnYC3YQvwKpHbsq2cVomT8ZhUie1wF2Y6NUCy0w5Voi4JkZatVpS6PjIU09SJNSQdSZJpBBZSiVpZShUqxypVJerjVBoNQ4oSP/7xjzEwMIA1a9YAAPbu3Ytl8ZRIALB06VLs3bt32vLly5djz54908a7/fbbsXbt2qnbxLQtaoMnfvADAMBr1q3DNTHJVwqTyJ42StunOqtUkqG2T0PJNRNiHD0mjydhZGjIgoyvsfvMcfiaxcNwRHkCnmi64ZqML4WzTVvibV6O7yfhLdWeeL8j8biAI8B5cKTAeCRJsBeOsNg6LoKPa0bw5NgMnxgkyZFZrIBXn4C3VSfi5ZPwyT4kx7H49ZEcGb4A8tml3JaqEvC/WalK5W+ZY5Nw+HuWyjK0vBS7tBlhsitmoxIhRXrS1ym+/e1vx0svvTRt+dVXX43/+T//JwBg9+7d+MM//EPcfffdaGnJPr0oyneZ3bJlC7Zs2TL1vKNQzSqXdEhLMyuuWIqFKjEvzjx97l//Fc9u3ZogplAcUdpXIdLLm1lqVqmhUtBJXpIoWWvYBZ+ZqmsbSXoH4QhtLhyZLYjvTyBZwtEJpxppqZ6AL/6fA0dYw0hmqjIGyXkcW+NbJ3xWKpBsDCDrHGVCjiQwGVuUdivjkNIW1RYqSSrLLi2WVCOzTiU5AmFyBJLEFEqqSZv5I09tor6WZGW2VhI1JcUHH3wwc/0rr7yCK664An/913+NTZs2TS1funQp9uzZg3PiuQL37t2LJUuWYNmyZXj22Wenttu9e/eUBduIKKUpeDnESKIdGxub+kKlkSHvGTsMxQ2lGpxQY4WsUg0jQ0M5SIs1ysJ/xhqZocrEGJLWEfjWb71wSlFmqbL7DclR1zGOimXd8CqQmapyzkYdW2wRy/RyTY4y5sjEHUmOVMUySUf3YiU58rcrrVZJhCRBiPeUpCZjiVrxpSnBEAkS/Ax5DatWLHFW26d9fX244oor8Od//ue45pprEuuuueYa3HHHHQCABx54ACtWrMDChQtxxRVX4LHHHsP+/fsxPj6Ou+66a9q+jYShgQEgVrd55lTUlmexm0zk0ZamVoc6dpgWN9RWqY4j8jwlzCo1VAI61kgiOyJuJLZx+ESc0+HijafF4xyBs1Rpm86Fizf2xuNznAk4omO8cRg+A7YVvvxjDD6BpwU+WWcMjohH4YmaccRB+JijzFalrcqYI+s2ZRarji9SPQL+NxxSoDKWWEC4LASYriCzLM5ILQ9ZpSTPUMs6OVZWLFHHH9NiiSe9UszC3/zN32Dnzp344he/iC9+8YsAgL/927/FxRdfjL/4i7/A+9//fqxcuRI9PT24++67AQBz587F5z73OVx66aWYnJzEu9/9brz5zW+u58vIxLNbt2JgcBBdXV04/w1vqPj4suSDXxqtDuU/cFOHhkZHmmqkYuQ9lWCLuOfcikfhSOwgfIMAaan2xctH4u074edv1JmqMiNVZqoyq1QrR95CijJCUg3K2KIsz0irX5TKUS+X71XIKg2pRE10IZUoLVReE3TXHW2VpjUrb0SVCACFKG9gbhaho1BA5fI/S8NXH3sMF73pTfiX++/HRyqgauWH98Vvfxtvufpq/Mv99+O/XHPNNKtUxgfT4oY6gSZEhsB0QjzlvkSGmoMXZSooWphdcBYn7dR2eBIYgSPEo3CqbwSOvHrhp64ah882JWl1IZkoMwD3nSfpSlXHsgqWdkRIJsyQGCfhCUwW+5McJ8Ry1ihyVhouB6bXEsrEm0gtl79tkgpVmrZEpXqT77kkR0mChFwOsS5EkERWLFG+hiaErz/y+D1r1mDHjh2oFBpGKZ4q6Dt6dEb7Z5GPVHB51KEkR709ECZEI0NDvRBSjbRXWdNIgqSia0cy1ngUfuLiQfji/V74RuP9cCUc3IdjDcGXjLD0gpmnbFPHXqvtYrnsqypjjlIhsimAjiOym05aQ3K+fl2eMSmWS5Uo7Uo988YkwmpQqkQSJK8RWSoxtJzrdPJPQazjcnmcrISeSsNIscYop6tN6AsQWnbG8uVTY8uM0RABplmmaerQrFJDo4DfWfmdpgIbgSODLnhCa46fM7GF5CgTdqgye+HnaByKx2IpBjNeh8Rx2AaObeNYTtIEPyWWJG7O0iETbFj32KaWS7Jrx3TSlDHECbFcztghyU5mrMrleRNqmDgj7dhi5Mh1ui2dXAckSZDk14zp1yFgukqtNIwUa4xS5jssRobyy3XJFVdg1XnnAQCe3769qDqUZGnq0HCyQX5Ph5FMHiNxkByp9FgjyJKLY0g2EqelyizVAThyZENxxht74ZUhiZNxRWaqkhxbxPGo9mR3HE50TKVLcpSxRa0odSwyK44oyVHGEXV2KtVbGglqlajJUavHPCQIZJOgXJdV9lFpGCk2KDTxhAhKbvOq1avR2tYGAHjpt7+tijo0MjQ0EuSFM6QaSYyMOzLmR9XI5uBH4QjsELylyqbhtFTZTGAYyRpJEuMAfHIPLVuqw3EkY6A8N906TipKmXgTUoiSHCUJppGjVIiSBCU5Mos1zSptTlleTCXKmkddOwlMV4laPRLaQoU4h0rCSLHGoG3aO39+6jZRyuNQJiifzxF1jx1dXalxQ6kOQ/f6WKHzMBgaCSHVqBUjVSNVYAt8hilVYx+8KqSl2g7fHICW6jH4eCPHo6UqZ9wgCbPxAKekojqUkxzTIpV26zA80WlblSSklSOJTpIjlxcjQVnvCHgS1MuzSFDP8yiJLq2JQDlxRKkuKw0jxRrj2OHDAFyrt/kLF+LooUOJ9SFCDJGhTqoZEHWPJwYGEg290yxTU4eG2YIs1cgSDpZEdMKRDIlIEs9xuESaY/DkKJNtaKnKeCNVJUs4eCwSo0zGITmSMOUkxZocqXizyJEkJKenkiSop7PS5BhSgmkkqOdiDJEj1am2UPOSoG4iALGOkBZuNdAwxfunCp5/7jkAwPyFC3Htn/xJYl0aIcp0aElwsqn3xZdfDgA4fPAg7v3616d+BPwBSeWo1WHI+692hpfBUA3IizAtyj44sjsGX6jP2sQJeNW4EK7wfzEckQ3DT2fF6aO64+164+fMVGUhf29847RTJ+B7pDJZpwBvuU7A26osD2EDgGZ4Mo7gSRXwahTwlivgrdUCPNlOwhOnXB7Bxx0lcTI7lctlBru2Y3mNAaZPQSXHkn1VJwLLgekEGWoMwHUyo7bSMKVYY5QyvVNazE+TGQCMjLreGE8/8QRePnSobHVoRGg42ZGmGvkHUdYXUgWSTOZiuqXK5t+0VOV2VI063tgCn1RDS5ZNBZipOoJkMg7Pg5mttFtZ5yjPncqRCpFEJ+1TSXSAJzmZsToBT0xySiuSll7OzNS0ORi1fRqKFep9Qs0F5PGlGg1ZuJWGkWI9EEVASlPyLEIMqUbeL4ibgY+MjgZV4YQal49DxzYYZgNCfyRJLKPw1iotVWansjhfZqkOYrqlKudnZJ9Vac9yHCq8fvji/zaxjhMtM7FGJt1ocmwWr4GEJhNyJDlK+1ROLaW75EiiIamGSFAu1zYpMJ3oSiFBvU5nusp1Oo5ZaRgp1hh5Wr2FCDGrfOLNV1yBCy66CABwoq8v1SrlPoCpQ8OpgTTVKBNxqMyoGqncaDm2w9mgtFyZBMPsVCbskBz74VUjaxhJnmPxWIwPkiBJqGwKLuOKMouV66RyTCNH2f+0Dd7ulPtoAuJyTY4ykzVLIUKNFSLOrExTScR5mgJUA0aKNcazW7di55NP4qI3vQlt7e1Ty9MUIFs3aVKU5HaOKMd4dtu2xBcPSFeHRoaGUwUh1SgTcSRJhlQjk2aOw5dnSNXYCkeOnIORlmq7GK8XvmeqLuTvQrIZOMs42Fg8RI6yr+qEWs745LhaJ2fVkOSobVKSVrkKUY8FhBXiGJJEV065R6VhpFgHjI+59r1pXW1ChKizSCVxzlFTUmmVyDEljBANpxqyVOOouB+H76HKRt/d8CrtRHwbgkvEkXMzcsYMlnDIzjdzxJiMN8ri/zY4cqRlynUkR87QQXIkYemaRUmOLUgSP8lPkyNQXCGGiC5NIep18homFaL8LPIqRGA6QVYSRop1QFZXm1CmaTFSJMFFUYR9Bw4k7FXA1KHBIJGmGhnHoyqjvcmyDSbCkPT64MiR2aJz4K1S3g/Az7QxJsbT9Y0cg11uZH9UTo0lk26oGDU5UjlKcuS5a3LkfrIEI2Sfcr9iClETp1aBzeo4M1WI1bJQjRQbCJPiNpFyk8SI+Pn5F14IAHjm6afxlTvuMDI0GIogSzWSbGhbjsPHGpuRnNCYylFbqtKCJTmyuJ8WLa1RkiPVKjNRZTYq52qkNUrFSQKcEMeSccUQOY6J9dwvjRzZQYfkSKLTKjCCLyMJ2adSIeo6SJnMI7vfAMUVYjVqCo0U6wDapswYlZBxwyxilKTYHY935MiRaV8aI0ODIR1pqpHkKLviSKKTZRwdcMTIBBvZWq4TSVU4iGQBP8s0euD7n1IFUpXOic+J+5E4dTH/OHy9pEy64fnL2kNZriGbAGhyBJIt5PKQo16nS0C4Tk5hFVKPxRSiPMdKwkixDnhl3z4AwOoNG/Cqc8/Fi7t2AUiWXsgvEf/RhZJsAKA/tmFP9PcbIRoMJUKqRmD6b0/G6mSskYk4JMl2+FZxjCfOgY8lyixUGU/sxPS2cEzIYTIOy0PkhMVUgHJ2Db2OxCk7++QhR63o5DrZQk5bpHz/Qkk0PBavcSH7NKtbTq0yUK2jTR3wy23bALgepZe84x0Akh+8JMVxJH+kOgM1EVMU90aIBkNp0LFFxvpOwM+m0YdkmzfAd6RZANcNZwF8Ugw76fTDxwXnApgX7xPF6/rgSLAQL++BI7NJeJIl0bFGsgDfAIBNxNvFOsYjx5BsVs51I/A2KYmXNuhY/Fi3iiPhMmFHTnzMLFhJulzH8pBmMZ4kViBJyPIaGCoFkZ10Kg1TinVAp8oWJbKs0zSVCABdsX3a3d1tZGgwzADastO/Q22nStXIuRup3Kga2Q9V1i5S9bHdm+yXSkuV25KA2WxcTznF/qicyFhmqsqMWpmRKpsYaOVIwpHr9MTG0gbV8UOZrFNAMhciZJ/KLNc8/VTl52T26SzB7n/7N4yPjaGltRWdc+ZMLc9SiboIn4gAnHnmmQC8jWowGMoH/1jq0iYZu6OtSmuUJMWYoyzfoLI8geQcj7RUaZkOIFmiwbhlMzypypiibA03KraRmaqSAHWNo7ZOJQFq61QSoCTHSWSToyQyaZFK+1TasVSGWfHDZph9Ouvw4De+gRd27gQAnPe616XGEtMIUdqmn/zkJ7Fu3ToAwFNPPVW7F2EwzHLIizGneaKyYzkG7VS2eeNMFB1whLcAwGlwdml7PMZReEt1Il7eA2A+HMkC3rZlI3ISKJuAD8En9jTBKUP2XR2Hj1tOwscjOXExX4e0TmmDMtFHWqckLSrPCMmuP1wne6y2whMrs12B6RaptEFJ4kBSFEj7tKDWVQOmFOuEvS+8gFXnn4+W1tapZfpflux3KgvxJeSUUQMpDcYNBkN5yFKNUmWxJRuVG2+yhlCWb6RZqpxdQ5ZoyBIObstkHNY/ktg4hqxVZN0jSYwqlzWOJKOWwDqqRhIqCa5Z3bR1qpUj3zdNcLI2UccO07ro6M+h0jClWCccfuUVAMDGiy/Ghje+EcB0UtQ/xBC64phkFEVmnxoMVUKWauyH73LTD5/4wgQSFvPPh5t2iok44/E+R5GcYqobLhmnO34+At8kgPZnF3w26xh839UJePJkjJMJNyPwBEfylKUek/C2L+dO5OuIxL5cR+KN4GOpcp2ctop/EABPvEDSkmW5B697BbWO10TuR2KtNEwp1gkv79kDAGhpbcUb3vpWPLV1ayIgrTvbpOFNb3oTAGDHjh244447qnrOBsOpjGKqkYRJwmNxvyycJ0HwRgJl31MqQRmjpHKkumRHHY4tm5pTGeoCf6pSXeOoS06oGNMaiKcl3TA2qJWjbiQuyzK0AtSNFCCWp/VSteL9WYShgQFwCinOq6hjisUIEfDJNc8//3z1TtZgMExBJ7zJ361OxJmAJ6lmcU9S6odPxCHpsbaRsUCSFNUex2ZTAFq2ur4xLRmHbeNC2aghcpQJOWnkSBtZkmMouzREjjJhRxJgKLlGkmO17FMjxTpBTyElf1h5FCLRLcoxDAZDbaBVI28hxdgJT466fIPEQ9t1FC55ZwTeAm0V27FdHOONsuifiTZcT/KTZRoy3jim1utaxBA5yox4GTvUpRySAJtQXDmG1GEo81TPwlGNpuAWU6wTOIUUALS1t0+zYfKCStHiiQZD7cELs6wJpOqjCmSGKjNCGU8jkc2FizMugIsTFuCnnmKtI7NIe+NbZzwGs1RlPJFKk3Muyobk7MLTIdYPw2eqkjzbkCzylyqQDdJJgDIjlesYH5SxyrbAOpIr1wHJeSJDmaeaQCsNU4p1RN/Ro4nnsjQjb/3N8uXLK3xWBoOhFKSpRpmYwwt9O5KxRpZvkBh40w3EO5C0VGW8cRReZWpLlSUWur5RZpxy3QSSyrAJyfZwJF3Z5WYM0zNSdcxRtojT6lDuW4iPqxMNterUM21UGkaKdQQbg8/p7k580Hlx00034YILLgAA/Pa3v634+RkMhvzQzcVlPI337DSjZ96QSSpMkqG6ZIyQliz3I0nKJuMkXrkNyVFOUiwJWMYbZfcbkiNLNZgMxPPVpRozJUeZcJPVJUeTY6VhpFhHcD7FltbWhELMqxK7u7tRKLikZCNFg6H+kM3FtWokOcqkFjl/orQY+ZjxRjnnomwxR0XHdnC0QqkuaWdyuiuZbCMzUWUm67i4T6txJElJcpSvL0SOtFkrTY6VhsUU6whZq3jBG99Y8r8eq1E0GBoT2j5lSQTrCfuRzDylkgN8lxnWNi6AiyOyJrEfPt7IFmydcF1xeuHIMBLHGY6ft8HFMEmQsvPNmBiH1uskPMmOi/PizCCscRxBMm7YFr8O2XcVYp2OR7KWkQTNfWVcUXbJkX8sqgFTinWErFXc9Na34ntbt5aUTWU1igZD4yJLNdJOparqgCcNKiutGmmpDiNpqdJGlR10JNHyOMxSlSUaMt4o6ydlvFEqNJ6T7nAzoY4vSzW0ctRxQ8YGQ51uQpmusktONbJPjRTriKGBAURRhEKhgMGBgZISbACrUTQYTgakxRrljVYqyaUdnihogZL4mE3KJuIy1iibksvaRlm7yHgjE3YYjwwl49AyJbny/GTjcFmXOYbp5Jhmq/L1ybpsuT6NHGVJRjViimaf1hH//PWv48jBgwCAiy+/vOSO71ajaDCcHND9Ukk0tFSlnSotTV70SWK9cJbqvPixbAPH8g1andy+B16dsZE4G4KzZRzVZgTfU1XPF0milm3jaMtS6XI9SVg2D5eNxeXci5LI5XrZ6k1bp/J9qTSMFOuIo4cOYUdcqzg6Olq2FWDxRIPh5EBarFHXNvbDTyXF/qKcRHgO/ETF8+FrFgfhY42S9ObAkSN7qY6KYwzH+7LkYw68emN7OcYbOZ0VY4bSfgV8naJcz5lDSG4sP5H9UTU5ytk15Gun8gSSzQcqDbNP64yx0dGpx6UoxXPPPRdvjBuJ9/X1VfisDAZDtZA2DZy2VKUqotLSEwKTSKj+SHjMUKWlyuxS2Q5OtozT8UZpqer5GXkO0lKVZRyyhpEJNbQ+qRr165SZqHK9nHsxqwtOJWGkWGewVnHe/Pkl7XfttddO2aYWUzQYTi7wD7CONepJxtvVMhITC91lH1Im4kjCk+RItcftZTs4tozjmLplnIxJSuKThf08Z1kmIhUft5GkPqHWpZVqZK2vNIwU64xjhw8DAFatW4cFCxfi4KFDufazeRQNhpMfeVSjVHNUdDKZhSqKao62KzvdSHIkqXE2DtY2jsPXQcpZOngMqsIhJBNtdOcb2q4yDshEIU1+JEc94bAmP3a0SSPHSsNiinXG8889BwBYsHAhPvgnf5J7v8svvxwAcPDgQXz961+vyrkZDIbqI60tHGONMt44AG9/jsf7UDWyVnE+XMyxC57QWNvYj2Tv1W74XqpMkmF260i8XUc8FrNVx+DJlHWSMtmGPVOZjCPnaZR9U0fEeo6h6xh1wg3H53qLKc5CyLKMUhTfvHnzAABPPPEEDuVUlwaDoXGRRzVK4qSdKlvE6dk3SKKSSGUrOKnkZOkGlSZVI0tDaLvKtm4tgW1kZxxdxqE742jlSFLU69P6o1YaphTrjH/++tdx6OWXAQBveMMbcu1zxRVX4HWvex0AiycaDLMJeVXjQHyjoiP5pKnGbjjSmYBTiyzhoBrkjB098ApzAknVGMHPwkErFvDqcgSewNj5pjXej+dPlcpMVCq/MXiyZYcbuV4qwwjeLq6GqjOlWGccPXQIv/3Vr7DozDNx2mmn5drnwgsvRGura4hkKtFgmH0ophpJHozD6YJ7xuoYb2SWqmweLhuTU+HJ5J0Rta0s7NeNxEnckqxCxf1SNeq+qFSWOsNWTxlV7ZiikWIDgFNI5a03XLhwIQBgbGwMTz31VNXOy2Aw1A9ZGaqtSPYA1dmdeoonLiMx0h6lemMiD0mRKk9mqUr7lbattEupVkPJOCQwPZuGbmknJyqWxCcnQdbdcSoNI8UGwvycZRlnn302ABdP/N73vlfNUzIYDHVG3gxVXcYhszvZjYZkJedsJJmxLKNdbNeFZG0jSU+qRlqdLfANCWTLuFZ1bNmPVZdo6DKNNHKUreMqDYspNgBGR5yzf/HFF08V5GeB9YmDg4NVPS+DwdAYSIs1UsENIRlnZIxPtkSjsuuGjzf2wKnCCL4FHFvNsRMN92EZh8wule3gWuOxZLyR58aYJMejEoV4Dcw0pXIMZaKSBKWFW2kYKTYAnv3ZzwAAra2tuUhxNO6CY+3dDIZTC3qWDcbhSD4kR1qkMibI0geSVzdcEg4TcZjVOQiXiCN7pDbDJdiQHDk91TB8qQjJka3oOuETdnh+7IfKRgJUpWz7NiTGkck4mhxlUlGlYfZpA2Cwvx+Tk5NoamqaskbTsHDhwqnM07a2anwlDAZDIyMr1qhtVcYcZZs3FsPrRBzapCTSkKUqZ+CgpcrMUXkcEpq0VGl5yhiitE51W7hWsa22iTnOKaEUx8bGsHHjxqnidMD19rzqqquwcuVKXHTRRdi5c+fUum9+85tYtWoVXvOa1+CTn/xkPU55xvj2HXfgF9u2AQBWrlyZue0HPvABLFq0CADwyCOPVPvUDAZDgyKPapQlHFSOVGsFJFUjZ9SgakyzVFlo3wVf1M+yCpndKov2OcsG4DvjkEh5HnKmjXF4guYxaf/KGTPY0LySaDhS/Ku/+iusX78+uOz555/HZz7zGdx8880AgOPHj+PP/uzP8IMf/AC7du3CY489hh/84Af1OO0Z44W43vD1r3/9VHapwWAwZCFPrFHfZHIN4NUYZ9OYCx9rpIKTtZEkPCbYkBzpW3GeRznDRijeyHOUXW3axTaSHOVsGjKeWA0Cayj7dNeuXXj88cdxyy234NZbb51aft999+Gf//mfAQBXXnkl/uN//I84fPgwHnnkEVx22WU488wzAQDXXXcd7rvvvqkZ6U8m/PaFFwA4e/Tv/u7v8MADD2Dv3r1YunTp1DZ79+7FjTfeCAB48cUX8YUvfKEep2owGBoMMkOVz9MyVHmT9YRUa9JOHYKfqFg2BadNSmLStY2MYXLaKznDRgf8fI+yUThn2ZD9UmXf11FxjrrzTaXRMKQYRRFuvvlm3H777Xg57vBC7N27F8uWLZt6vnTpUuzdu3fa8uXLlwdLFG6//XbcfvvtU8+r8UbOBPMXLsS173//1PM/+IM/wB/8wR9gbGxsqkgfQOL50qVL8cY3vhFbt26t+fkaDIbGAy3RCXiSTIs1SmKkSpMlHCRHkiYV5hicCmS5hexn2owkOcqaRDnDhp5+Ss6yEWoJF4o3ynWVRk1J8e1vfzteeumlacuvvvpqLFmyBJs2bcLq1aunkWIaoijfDIRbtmzBli1bpp53FAr5TrhGuPZP/gRLly8HAPzrv/4r7rjjDgAIKsWlS5fi1ltvxaJFi/CZz3wGmzdvrss5GwyGxoNOwuEySYrshEOlxlgdyyFIWLobjrZfx8WNSTWtYh+qSz0vo55+ittSERbreqP7pVYaNSXFBx98MHXd+9//fvzwhz/E1772NQwPD+P48eO48sor8cADD2Dp0qXYs2cPzjnnHACOHJYsWYJly5bh2WefnRpj9+7dCRI5WTAkGoH//d///RQppuHKK6/E1VdfbSUZBoMhiLyqcVLcSyUn1RyzVUlkstRjGMmmATI7lQTbKraT8zLKbfXExWwZJ8lRd72Z9Q3B77nnHuzevRsvvvgi/v7v/x6bNm3CAw88AAC45pprpojigQcewIoVK7Bw4UJcccUVeOyxx7B//36Mj4/jrrvuwjXXXFPPl2EwGAwNAZmEQyKUGaq6yTjJTipBmfXJOkVmqMpEHGapMvuUdYQdYj/OyjEujjmCZEZrJ3yGaSTOVRb207Jls/BKo2Fiiln4i7/4C7z//e/HypUr0dPTg7vvvhsAMHfuXHzuc5/DpZdeisnJSbz73e/Gm9/85jqfbeno7OqaetwlHqeBHW14bzAYDGnQbeKkatRqUd6zLENaqlI1SktVxgbb4C3V0JRWjDfKWKKMIZIUZSNyErrso0p7t9JoSFK87LLLcNlll009nzt3Lv7pn/4puO173/tevPe9763RmVUH0j7NM6cibVOzTw0GQx7IWCNr/LL6qDL7U5Y+kIQkMfKeNYXsjSrnbdSWqsxSpaXajGSWKo+X1itVNjqvNBqSFA0Gg8FQeRRTjZIYZScZklCTuOlYoyQ73RGnVY3BfWQSjjyujiNKYtQdbyoNI8U6I4LZpwaDoXYophrl1FSaJElWhfjWIu6leqT1yZk19DyMtEmb1PZ6dg2OL8s+qBiZgdpbwfcGOIVJMV8xR21g9qnBYKg1iqlGSYzauiT5AV79SeWoE3ZkKzqSY6gYnyqQCTh64mNJjByv0jglSZH/iBoFHaYUDQZDHaDrGnWMsVXck9BY26gL6Gl3FsTyZvj+pSzH4E2Wbcj90hJspBotxPtVYz7FU5IUgcbqajNgStFgMNQRmhwLSBIkVZtUbyFiBJKkQptVxhmZrap7mBbEvgUks1PHxPFakbRuK41TkhQjOHneKJgsvonBYDBUHSFLlbE7WpZUc5IU5ZRU3JfEJV052qnyXpMdx2nD9BZwMkmnGkk2gJFiQ6DV7FODwdAgIImxAH9CPWZyTNqNxMax6MpxP0m27GdKYpWqk4lAoTkiuU8TgPmVe+kATlFSnITrvtAoOGb2qcFgaECECJJWZ+i+WTyWkF11JtUywKvG0BjcTnbnGUf4OJXAKUuKQ/U+CYE2U4oGg6HBIQmSkDG9JrUsRFjampXj6jGz9g/tVymckqQIVCeVt1z0mVI0GAwnISQxVSp5MUS+tUTDNAQ3GAwGg6HeMFJsAHSZfWowGAwNASPFBoDVKRoMBkNjwEjRYDAYDIYYRooNALNPDQaDoTFgpNgAMPvUYDAYGgNGig0AU4oGg8HQGDBSbACYUjQYDIbGgJGiwWAwGAwxjBQbAGafGgwGQ2PASLEBYPapwWAwNAaMFBsAphQNBoOhMVCIoqhazcYbFr29vVi6dGlNj3n06FHMn1/pmb8aC/YaZw9Ohddpr3F24IUXXsDw8HDFxjslZ8no6+ur+THXrl2LHTt21Py4tYS9xtmDU+F12mucHVi7dm1FxzP71GAwGAyGGEaKBoPBYDDEMFKsEbZs2VLvU6g67DXOHpwKr9Ne4+xApV/jKZloYzAYDAZDCKYUDQaDwWCIYaRoMBgMBkMMI8Uq4/vf/z7WrVuHFStW4KabbsLExES9T6lsvOpVr8K6deuwceNGbNy4Eb/4xS8AALfccgtWrFiBVatW4b777pva/rnnnsOFF16IlStX4uqrr27YDjwf/vCHsXTpUrS0JCuUynldafvUG6HX+P3vfx89PT1Tn+c73/nOqXUvvfQSLr30UqxatQqXXXYZ9u/fP7Xui1/8IlauXIkVK1bg9ttvr+nryMKePXvw1re+FWvWrMG6devw8Y9/fGrdbPks017jbPssN2/ejI0bN2L9+vW49tprp8roavI5RoaqYWJiInrNa14Tbd++PYqiKHrXu94V3XnnnXU+q/Jx9tlnR3v27Ekse/jhh6Pf/d3fjcbHx6O9e/dGy5Yti06cOBFFURRt2rQpevDBB6MoiqI///M/jz796U/X/Jzz4Ic//GG0f//+qLm5eWpZOa8ra596I/QaH3vsseitb31rcPv3v//90Ze//OUoiqLo9ttvj66//vooiqLoV7/6VbRq1aroxIkTUV9fX7RixYrohRdeqP4LyIF9+/ZFTzzxRBRFUTQyMhJdcskl0f333z+rPsu01zjbPstjx45NPf7whz8cfepTn6rZ52hKsYp44okncNZZZ00Vl954440N84+zUrjvvvtw/fXXo7m5GUuWLMGmTZvw0EMP4cCBA9i9ezc2b94MoLFf+yWXXIIzzjgjsayc15W2TyMg9Bqz8E//9E/4oz/6IwDAddddh+9+97sAgG9/+9t4z3veg+7ubvT09ODaa6/Fd77znaqcc6k488wzcdFFFwEA2tracMEFF2D37t2z6rNMe41ZOBk/y7lz5wIAJicnMTw8jEKhULPP0Uixiti7dy+WLVs29Xz58uXYs2dPHc9o5rjqqquwceNGfPKTn8TY2FjqazzZX3s5r+tkfM1PPfUULrjgAlx66aV48MEHAQCHDx9GV1cXOjo6ALh+vK2trTh+/PhJ8xqPHDmC+++/H29729tm7WcpXyMw+z7Ld77znVi8eDF27dqFj33sYzX7HE/JNm+1QjTLql1++MMfYtmyZRgYGMB1112Hv/7rv059jSf7ay/ndZ1sr/m1r30tfvvb36K3txfbt2/HFVdcgccffxw9PT2p+5wMr3F0dBTXXnstPvzhD2P16tWz8rPUr/Gss86adZ/ld77zHYyOjuLGG2/EvffeW7PP0ZRiFbFs2bLEv5Ldu3fXvBF5JcF/XF1dXbjpppvwk5/8JPU1Ll269KR+7eW8rpPt8+7t7UVvby8AYN26ddi0aRN+/vOf47TTTsPAwMBUk+WBgQGMjo5i7ty5Df8aJyYm8L73vQ8bN27Exz72MQCz77MMvcbZ+FkCziJ+73vfi+985zu1+xwrFhk1TMP4+Hj06le/OpFo89WvfrXOZ1Ue+vv7o+PHj0dR5F7XTTfdFH3iE5+IHnrooUQge+nSpVFfX18URVF08cUXJ4Lf//2///e6nX8eyCSUcl5X1j6NAvka9+3bF01OTkZRFEV79+6Nli9fHu3cuTOKoih63/vel0jO+KM/+qMoiqJo165d05Izfv3rX9f4VaTjhhtuiK6//vqp1xVFs++zDL3G2fRZ9vX1Rfv27YuiyCUrfvCDH4w+/vGP1+xzNFKsMh599NFozZo10TnnnBP98R//cTQ2NlbvUyoLv/71r6MNGzZE69evj9auXRvdeOON0cDAQBRF7kt4zjnnRCtWrIi++c1vTu3zzDPPRBs3boxWrFgRXXXVVQ1zUdH44Ac/GC1ZsiQCEC1ZsiS6+eaboygq73Wl7VNvhF7j3/zN30Rr166NNmzYEG3YsCH62te+NrX97t27o0suuSRasWJF9Lu/+7vR3r17p9bddttt0Wte85ronHPOif73//7f9Xg5QfzoRz+KAETnnXfe1Gv64he/GEXR7Pks017jbPosX3rppeiiiy6K1q9fH61bty664YYbZnStKfVztDZvBoPBYDDEsJiiwWAwGAwxjBQNBoPBYIhhpGgwGAwGQwwjRYPBYDAYYhgpGgwGg8EQw0jRYDAYDIYYRooGg8FgMMQwUjQYTmKMjo5i06ZNGBwcrMh4/f392LRpE8bHxysynsFwssFI0WA4iXH33Xdj8+bNmDNnTkXG6+7uxlve8hbcc889FRnPYDjZYKRoMDQo/uEf/mFqJvX169ejUCjg+PHjiW3uuusuXHvttVPPf//3fx8//vGPp54vW7YMJ06cAABcf/31+NCHPoTLLrsMS5Yswb333ov/9t/+Gy688EKsW7cOr7zyCgDg3//7f4+77rqrBq/QYGg8GCkaDA2Kf/fv/h22bduGbdu2YfPmzbj55punJl8FgLGxMfziF7+YmsQaAJ555hls2LABAHDw4EF0dHRMTR/0zDPPYO7cufj+97+PL33pS7jpppvw9re/HU899RQuvPBCPPzwwwCA9evX4+c//zkmJiZq+GoNhsaAzadoMDQ47rzzTmzbtm1q4lji0KFD6O3tRaFQAAC88sor6OzsRHd3NwBg27ZtUwQ5NjaGF198EZ/+9Ken9n/b296GSy65ZOo5Cbe5uRldXV04cuQIFi1aVM2XZjA0HEwpGgwNjJ/85Cf43Oc+h29961toaUn+h+3s7JyaJw8Ann76aWzcuHHq+RNPPDH1fOfOnVi7di06OzsBOMK8+OKLp7Z95plncP755089Hx4entrWYDiVYKRoMDQo9uzZg+uvvx7f+ta3sGDBgmnr582bh9bW1qk449NPPz1FkgcPHsRXvvIVnHfeeQAc6V1wwQVT+z799NNTz0dHR3HgwAEsX74cAHD48GH09PRMKU6D4VSCkaLB0KD46le/isOHD0/Nsr5x48appBniqquuwr/8y78AcETX3t6O888/H9dffz0uuOAC3HnnnQAcKUoVuW3btqnnO3bswJo1a6bWPfroo7jqqquq+toMhkaFzadoMJzE2L59Oz7xiU/gu9/9LlatWoUf/ehHWLx48YzG/L3f+z3cdtttOPfccyt0lgbDyQNTigbDSYx169bhmmuuwfHjxzE8PDxjQuzv78d73/teI0TDKQtTigaDwWAwxDClaDAYDAZDDCNFg8FgMBhiGCkaDAaDwRDDSNFgMBgMhhhGigaDwWAwxDBSNBgMBoMhhpGiwWAwGAwxjBQNBoPBYIjx/wMA8Xw4gFVDRgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u1.BPM(verbose=False)\n", + "u1.draw(logarithm=True, normalize=\"maximum\", draw_borders=True, edge_matrix=edge_matrix)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:54.271265Z", + "start_time": "2020-05-01T22:46:54.187073Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = -0.244 um, z = 1062.072 um\n" + ] + }, + { + "data": { + "text/plain": [ + "(-10.0, 10.0)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x_focus, z_focus = u1.search_focus()\n", + "u1.profile_transversal(z0=z_focus)\n", + "plt.xlim(-10, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:54.965935Z", + "start_time": "2020-05-01T22:46:54.273600Z" + } + }, + "outputs": [], + "source": [ + "width, z_center = u1.beam_widths(kind=\"sigma4\", has_draw=(0, 0))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:55.177363Z", + "start_time": "2020-05-01T22:46:54.967848Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-200.0, 200.0)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(u1.z, width, \"k\")\n", + "plt.plot(u1.z, -width, \"k\")\n", + "plt.xlim(z_focus - 200 * um, z_focus + 250 * um)\n", + "plt.ylim(-200, 200)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Effect of rotation" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:55.185515Z", + "start_time": "2020-05-01T22:46:55.179574Z" + } + }, + "outputs": [], + "source": [ + "x0 = np.linspace(-200 * um, 200 * um, 1024 * 2)\n", + "z0 = np.linspace(-50 * um, 400 * um, 1024 * 4)\n", + "wavelength = 0.6238 * um\n", + "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", + "u0.plane_wave(A=1, theta=0 * degrees)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:46:59.020585Z", + "start_time": "2020-05-01T22:46:55.187604Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + ":1: RuntimeWarning: invalid value encountered in sqrt\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "208.33333333333331\n" + ] + }, + { + "data": { + "text/plain": [ + "(29.541015625, array([0., 0., 0., ..., 0., 0., 0.]))" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u1 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", + "u1.incident_field(u0)\n", + "focal, _ = u1.lens(\n", + " r0=(0 * um, 0 * um),\n", + " size=300 * um,\n", + " radii=(1000 * um, -250 * um),\n", + " thickness=100 * um,\n", + " refractive_index=2,\n", + " angle=15 * degrees,\n", + " mask=(10 * um, 3 + 0.05j),\n", + ")\n", + "print(focal)\n", + "u1.surface_detection()\n", + "u1.draw_refractive_index(scale=\"scaled\")\n", + "edge_matrix = u1.borders\n", + "\n", + "u1.smooth_refractive_index(pixels_filtering=25, type_filter=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:01.898564Z", + "start_time": "2020-05-01T22:46:59.022617Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u1.BPM(has_edges=True, verbose=False)\n", + "u1.draw(\n", + " logarithm=True,\n", + " normalize=\"maximum\",\n", + " draw_borders=True,\n", + " scale=\"scaled\",\n", + " edge_matrix=edge_matrix,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we see how several rays converge" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:02.301124Z", + "start_time": "2020-05-01T22:47:02.294010Z" + } + }, + "outputs": [], + "source": [ + "x0 = np.linspace(-200 * um, 200 * um, 1024 * 1)\n", + "z0 = np.linspace(-25 * um, 400 * um, 1024 * 4)\n", + "wavelength = 0.6238 * um\n", + "u0 = Scalar_source_X(x=x0, wavelength=wavelength)\n", + "u0.gauss_beams_several_parallel(\n", + " A=1, num_beams=15, w0=5, z0=10, x_central=0.0, x_range=300.0, theta=0.0\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:03.611511Z", + "start_time": "2020-05-01T22:47:02.303653Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "208.33333333333331\n" + ] + }, + { + "data": { + "text/plain": [ + "(23.53515625, array([0., 0., 0., ..., 0., 0., 0.]))" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u1 = Scalar_mask_XZ(x=x0, z=z0, wavelength=wavelength)\n", + "u1.incident_field(u0)\n", + "focal, _ = u1.lens(\n", + " r0=(0 * um, 0 * um),\n", + " size=300 * um,\n", + " radii=(1000 * um, -250 * um),\n", + " thickness=100 * um,\n", + " refractive_index=2,\n", + " angle=0 * degrees,\n", + " mask=(10 * um, 3 + 0.05j),\n", + ")\n", + "print(focal)\n", + "u1.surface_detection()\n", + "u1.draw_refractive_index(scale=\"scaled\")\n", + "edge_matrix = u1.borders\n", + "\n", + "u1.smooth_refractive_index(pixels_filtering=25, type_filter=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:05.255725Z", + "start_time": "2020-05-01T22:47:03.613814Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAFLCAYAAAApjRwVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAAuJAAALiQE3ycutAACrtklEQVR4nO29eZhV1ZX3/6mRgqKqGAqKoQoVAWVSFGKMGIeoSFQiEowak2hH29jSHfVNul8Tk25/nZD0a8Ye6LS+2K9DjG0i0cQhqDGYSNTEqOCAEjUqFEJBMRVVUNR0f3/ss+5ed9c+d6h7a7zn+zznufeeYZ99zt3nu9f+rrXXKYjFYjEiRIgQIcKQQGF/VyBChAgRIuQOEalHiBAhwhBCROoRIkSIMIQQkXqECBEiDCFEpB4hQoQIQwgRqUeIECHCEEJE6hEiRIgwhDCgSH3r1q2cddZZzJw5k9mzZ/OVr3wlvu2mm25i2rRpzJgxgzVr1sTXv/baa8yfP5/p06ezdOlSmpub+6PqESJEiDAgMKBIvbi4mP/zf/4Pb7zxBi+//DLr16/nF7/4Bb/+9a959tln2bx5M+vWrePGG2+Mk/e1117Lt7/9bd566y1mzJjB9773vX6+iggRIkToPwwoUp84cSILFiwAoLS0lBNOOIEtW7awZs0arrzySoqKipg8eTILFy7kiSeeoKGhgS1btrBo0SIArrrqqgQrPkKECBHyDcX9XYEw7Nmzh4ceeognnniCJ554gmXLlsW3TZkyha1bt1JfX09dXV239S5WrVrFqlWr4r/feOON3q18L2PUqFFMnDiR7du3s2/fvrS3RYgQYWCjoqKCpqamrMoYUJa6oK2tjeXLl3P99ddz7LHHEpaeJt20NStWrGDTpk3xZbBjxYoVvP7666xYsSKjbREiRBjYqK2tzbqMAUfqnZ2dfPrTn2bevHl86UtfAqCuri7BAt+yZQu1tbXU1tZ61w91NDQ0EIvFaGhoyGhbhAgRhj4GHKlfc801VFRUJDg8ly1bxp133klnZyfbtm1j/fr1LFq0iAkTJlBXV8cTTzwBwB133JEg0wxV1NTUUFBQQE1NTUbbIkSIMPQxoDT13//+9/z3f/83c+bM4YQTTgDg85//PF/84hd58sknmTFjBoWFhXz/+9+noqICgB/96EdcccUVrFixgpkzZ3Lvvff25yVEiBAhQr9iQJH6woULQ3XyW2+9lVtvvbXb+uOOO46XX365t6s2oBDJLxEiRAjDgJNfIqRGJL9EiBAhDBGpR4gQIcIQQkTqgxCR/BIhQoQwRKQ+CBHJLxEiRAhDROoRIkSIMIQQkXqECBEiDCFEpD4IEWnqEcJQECwR8hcDKk49QnqINPXehxBjmNXTFXyml32o91CAqaPUp1CtjwXrYyQSfX/XOULvIiL1CBECaCIvUJ9gibBLfU+HHNOxmnNBskWe30LwncHSpdbp60hWx6gDGHyISH0QIpJfcgshcDBkqAndR+aQmuw0UWprv8vdMUuINV6IrXsMW7+iYOkE2rFWu3QCnSH1lLpGFv7gQ0TqgxCR/JIb+MhcW7hdns9OkpNbKtlGSyW5QgxLznIdqPMUA6XBZ5vatzBYxIqXzkE6Bvc+uKOWCAMTkaM0Ql5CW+PFGDIsIZEUtcwiEkYYoWkHZbKHyiX0XBKkW0fpQDqCzyKgDEPwsk1fv9RPrHl9PfqaIkfswEZkqQ9CRPJLz6HJXD5FohAIMQrBddJdfnHLhNQWUm8SukDqKtejiT2GtdqLMFa7lmO01S73Rndw2nKPrPaBi4jUByEi+aVncIlcdGitLwt5a6mls1tJiWXCwCB0XbbU3Xd9JcFSSKIcI6OUTmcddCd3LclExD6wEJF6hCGPZNa5EJTPMk8lt4BflnCP6UtC1+fQnZFcu1xTMYbYh2GseCF3uSeFGMdqJ4lRQFpvj4h9YCIi9UGISH5JH6msc03e2cgtPkL3OUT7mvxcOQb8ckxBsK4Te69knZZjwO9IjeSYgYOI1AchIvklNVJZ5+CXW3oS3eKzVPvDOg9DDEviQtZdahE5RnR2TeSlWIsdIjlmMCAi9QhDDi6hF9HdOnct8lxZ51K+xkAhOW21a51dLPYibGRMO5bYRX+XTi+SYwY2IlKPMKSgidxnnbtyS0+doYON0AX6WoWcuzAWegnd5Rgh9mISnajpyDED7drzBRGpD0JEmnp3+KxzdzKR6wDt6WSidOQWUpTbnxA5Rjo8uUaxzl05Rksv2okq68Avx0Q6e/8gIvVBiEhTT4RL5Ll0hsLg0s8zgZZjpEN0o2NKMR2A6OpFWKtdHKuRHDOwEJF6hEGLvrbO8Rw3WAld4Ma0Q+I9KyVxspKQuOjsrhNVh4hGckxmyNVM3YjUByEi+SU96zxTZ6iUC0NLbkkFrbPLvdQRMzqm3TdZSVvy0jno1MSRHJMauUy9EJH6IES+yy/aGk/mDHUll94i9KFCUhKjDv6wT3GidmKJXCJmxJLXkotrtUdyjB/pzkpOFxGpRxg0CJtIpLMt6tzh2cgtgnwhdIGWY7TV7jpRfSkGXEseImJPBtdvkytrfcBlabz++uupra2luNj2N08//TQVFRXMmzePefPmcdFFF8W3bdu2jdNOO40ZM2ZwxhlnsH379v6odp8iH+UXX8y5O9VfJAB3ySZVrsZQJ3SBJnYto0g6gXbMfRuGzdUuWrvOAukmB4Mo26PAzYCpDZNsMeBI/eKLL+ZPf/pTt/Uf/vCH2bBhAxs2bODBBx+Mr//f//t/85nPfIY///nPfOpTn+KrX/1qX1a3X5BP8ouWV3wLJMotroaeC0KXmZcaQ5XQNdx7Kutk1ilYRyrYMEftXHWTgwl56dfu5Ru5u+1OGyy5wICTX0499dSM9n/kkUdYvXo1AFdccQVf+9rXeqNaPcJ9990HwLBhw9La//Dhw2ntO3XqVAAuvfRS5s+fn7Bt+vTpGdZy4CIsqsXVa32SSzpkDgMru+JAhNzPQvUZw+rnrhwjOrvMUJV1gnyXYzSh+6K3coEBR+phePHFFznhhBOoqKjg5ptv5txzz2X37t2Ul5dTVlYGQHl5OSUlJezfv5+qqqr4satWrWLVqlV9Wt9HHnmE8847r1fPMXv2bGbPnu3dVl1d3avn7m24US1uqGIunaFhyHdCF0jH6VrUEqcuVrlkfJTX5hVjJRrR2nXopO4sYGgTu08/9/mHcoFBQeonnngi77//PpWVlbz++ussXryY3/3ud1RUVKR1/IoVK1ixYkX8d0FBQa8O+Y455hhOP/30XjxDcsRiMZ5//vl+O382CAtV9DlDM7HOpWzI3DonjbLzAULuOr0AGMKWKBg9MUlmrco67UTVo62hTuzJ5BZf9Fa2GBSkXllZGf8+e/ZsFi5cyEsvvcSyZctoaWmhtbWVsrIyWlpaaGtrS7DSfSjA6oC9gUuWL6e8vJz333uPP/7hDwwbNizeUJM12HTlF3e/Y489lmOPPRaADz74gC996Uvcf//9WVxB/yAsqsWnnWdinUvZEMkt2UKIXacXkP8jhrXaZWKSyDFFwHAMsbep8jSxw9CLZ/cRutvG85LUt2/fzoQJEygoKGDbtm0899xz3HLLLRQUFHD++edz9913c80113DXXXfxiU98ImV5hUBy2s8O+4MIlB9861vcvXq1dzZjJoSUDjZt2sSxxx5LVVUVGzZsyEGJfYdMQxXde5iqbIjkllxD5BhttcsixK5TDIgcU0ZiOORQlmNS6ec+WTEXGHCk/oUvfIFHH32Uzs5OamtrufDCC5k5cyY/+tGPKCkpAeCb3/xm3DL9l3/5Fz796U/zne98h4kTJ8adk8lQDEzopfp3AUcFEShH1dQwDhvjKyF3egaez/LsCU477TTeffddysvLee655xgzZky2l9In6C1nqJQNEaH3FrQTVVvth7GzUH1yjJ6spBODDRU5Jl39vMjZlqvrHHCkftttt3nX/+3f/q13fV1dHc8880xG5ygGJmdYr3RveBcgYlElMIlEMj8c/JbPdmyImJ5qnSnBNzY2cuONN3LbbbcxatQo3n77baZNm5ZBCX0Lafh66JnMGarDEyP9fODAJ8e4b1Zy5RiJmhmO1dp1YjEfscu5Bjoy0c/1PdOpGrLFgItT7wsUAiMzXCrSXCoxHn8wjXYMMC5YxmNIfqL6HB9sG4ORhEYGx0vq00wcuqtXr+Z3v/sdYMIeV65cmcHRfQdp6HKNvolE0glKhEUms0Oz0c8HA3EMRPg6Xm2wiB+rBBvrDuYZGU73SUw+nXmgx7O7covbtt32LtZ5J7bDywXyktRjGEu5N5Y2oLy6mlgsxr6GhvifW4ppvCOB0UA1UIMl+AnBIgRfAYwgMaIgHZx55pls2bIFgKuuuirTW9PrCJtMpOUWaeSZSlPuLL1kiOSW3MP3PwmBt5GYPwasri7PRim2M9CyzmAg9jD9PIzYhdDd0WguMODkl75AJ7Czl8r+yOLFfPy662hva+Pd+nr2YoegeinGNvAuDNm3Aa3AQeAQ0BJ8HsI+AKksVYBrr72Whx9+mPHjx/OXv/wlPlmpP+Fr6O5DGxaqCJHcMligY9q1E1WTupZj9BuXXCcqJP6fA1FnD9PP05Vbck3okKek3g58kOMy5c+qnT+f4pISHrz7bn65dm38D5WZd2J5y3f504eRaM0LubcAzViil+Fsskawdu1aHn74YZYuXcqRRx7JD37wA2688cbcXnAG8Hn8c+UMlfIhIvSBBO1EFWg9XazWQme9TFZqJTE6RtqNjnOX8/QXkunnPlJPRujuvcoGeUnqncCe4LvvQdfI9Ea/G4Qz/nb9ehroPvQS67wUm/xICF22i9VSjtX0m4NFrHfd6H1YtmwZb7/9NlOnTuWyyy7rF1JPFqoIiXKLK7VA+ta5lJUMkdzS93CJXZKCicXuRse0YZ8PIXadjqDQKRf6z2pPJ1xRE7vAl2wul4QOeUrqMQwx9gZGB+GMo2pqaCb8zxaLvQxD6sOD78OxjlIh/XKMxt4CNAXL/uAaJAbYh8985jOsW7eO8ePHs2nTJmbNmtULV+xHOtZ5T2eGSvkQhSsOdLhyDHR/s5J0+K72Lg5UiRSTtqSdsdD3xJ6Ofu4aMNA3hC71ykv4UrTmYtHZ7CRMUbRy0cmbgb2Y0cIuYAewHSMJfYDR+/cE+0nDr8I4USVqZjTWkRqWM+L555/nqaeeAsys0xtuuKEHdyoz6Mbt+hJ0yJv2+LvEns45ID3rPCL0gQFtXctvCfGVSBgZrUrIbwxj2IzARs1IdkhpU4K+cqD6CN3n+Hf18w5n8fkMopDGAQo3n3lMLS7RH8aQ/AESCV7IfQewG2OZt2MadiWG3GswUTLlJI+QueCCC3jvvfcA+OIXv5jjq01EWCPX9dIN3I1sSUduicIVBy9cYofE6JguEqNjWrHtfgSG4CFxwpKWZXT7yDWkbImsci3zErXoDscNWfTp53piYi4QkXqOcdRRR6XMZ+4jebHkfQS/I/gt5F6KIfeq4FNb7L6G/W//9m8AHHnkkfz85z/PwVUmQs4ZFrol6GmoopwDonDFwQ5p967VLsTum3XahvnPdUy7tCPfNPtcE3uy+PNitYSF5rqTCl1Cd31J2SJvSb2gF5Zx1dV84hOfIBaL0dLSknbjEpIXgj+MkV72091634Uh/g6M9i7O1HKMJaPJVM7/wx/+kDfffBOAc845h2OOOSb9G5UCrnWuG7e+Pp9MFckt+QsfiYmzVOQYacti9HRh27x+VyrYdifIFbGnG3/umzznTqBzCd0n2+YCeekoldltmSCd3m/RWWcxc+ZM3ty0iZ/++McJQzDobp34oKcLy+y6NhL1+JGYBg/2WqRhSCSBblwAs2bNor6+nkmTJvFf//VfnHnmmWlcUXIkc4a619MTZ6icA6JwxaEITeyuE1VHyBSSmFNGgge0E1U6gEJyR5Lp6ufaCSwpEpKFK+oQ3lySuSAvSb0Q42jMNeZOm0ZhYSFP/PKXHG5sZCSpszMmC9/Tf7w4lYTcRUcvwjYaIfoiEi0FOf8zzzzDJZdcwqmnnsrixYtZu3Ztj64zVaii1F1bLJmEKso5BBGhD11og0eHLOpQRmlbYsnHsHM6irBRYJpopcyetgOf5BJG6gJp630tt7jIS1IvIfOEXqnQhQk7BCg8eJAa/MSa7OXIuufWjVFvE8eSSB2udi2asxC7fHYAn7nsMs4880zGjx/P6tWrqa2tzfg6fTPm+ss6h0huGSrwEaB+s5JM1tMa9TCM5CjErsMhi0l8tjKBtrzdSUSu1CKQZ1tLLXj20aNnjVy227wk9WJMWGAuoP+M8uCzEtNpaDLX4Uzy5x/2rPM5EuU8mtzb8c9e04QrhC/k3gH809e+xo9uvz0uw1x77bVpXWem1nmyTirVeSCyzvMRYXLMYSy5i9QokmQnlthlJCupB7Qck25kSbKJRK7kotu7llwylVty3W7zktQLMEO3XONQEM7Y2tAQt9p9RKdT8bYlWXTP7yNIH8Frq6KERHIvAu5dvZqrrr6aBSedxNlnn53WdWVinfukpnQREXoEV44R35DMRHVfwCHWuUzg88kxxarMsHaSTG7R8y1ku7Rv1xCTMgSp5JbeaLd5Gf0iM0pzvYwMZpNW1NTE/0hpIDJbdCQmFHE0MBaTencCZuQgS1jGRje6Ra5Fdxa6U5Bp1tLYZAj7f265hY6ODqZOncr/3Hdf0kiBsKGnPr+WkfTwMxPrPIo/j6DhWu1ivEjseiGW4NsxuZHaMeQ+EvOsSEQZdI/K0m0+LGRRnLI6/lwIXYcjJ5tMFBbd0pvtNi8t9Q5yn6WxABOZAqaB7cGvwWlSlMYi0I4WIWbJ89KqvuuYXk2e8imNTA8/tbX+9Nq1bHzpJeafdBKLzj2XmupqGhobExqZL3wrXetc1yUVIv08Qhh8xO7KMTop2CGs1S5J8Q5hngftf5LnRmvnPrnFtdAh8RlNpZ/3ldziIm9JPddZGgHGTZ9OV1cX7zY0sAPzJ+uGIQmMStT6EmefYuxLNrREIw30EKbTaMbqh3o2miZ4eTmBPAz6XJ+94AKe3byZUaNH893vfpcrr7wyYXSRSm5xdfNIbonQG/BFx7hyjE4KJjr7cIyPqwTzrLiTmoSQw2LP3ZmhkEjm+pnrb7nFRV6Seidm+n02cCWLv7r6ai767GfZs3s3jz/zDDvxSxd6Bpoe2kmmRp2lThrhCGzPfxhD6geCRci9le6Wg5ZmZJEydzY2svHFFzn97LO5cNkyar/8ZbY3NiY0VFdqkTKzdYbq+xcReoR0oKNjxGqXRZ6jYdhRbCfmuRmOeaZ06mp51jSxaxKX367EqP1c2jp3nabaKSt17cs2m5ekHsOQYC4xKtDT7733XjZu3hw6E803xBOtWxZpdGVqXbHaVoGJsGkmMSXvQexkDB15I3C176s+/Wk2vPMOIysq+O+f/ISLFi2KZ330TSTKpXUu9yYZIkKPoOEjdi3HlAWLzMo+gGnnIzG+KZm814Yhewlm0Lq7j8zd9wgLipz9fHJLXxM65CmpQ+5vtCTyeu311xOI1EdiqUhe51sfRmJq3jK1TyU2i53IMoewme9Ef3cteCHn+sZGHn7wQS773Oc47oQTmFhdzQ5lrQtybZ3re+FDROYRwiDtz53FqaNgxOqWhHmdGAKvwhD8AaxFPxLzHIkjVsONTnOtc0g0lFDbe/J85Ap5S+q5Rk1gqbuJvPSfmozsfdqefs2XkLsMKXXKXXEWyXZpjIexWrwQvVji0ui+9OUvc+755zNm7Fj+789+xtIzz0yYap2LUEV9vZF1HiEX8Fnt8gYlsdpHYJ+DPRhSr8JElrVipcsCjP4+DBthI8+Lfmbk2RQkI/T+bLN5GdI4EBBTiw6PkkZ4EPsyjEZMtM52YBuwNVg+CLY1YR1E8nKBKkzIZA2JIZJVwXYZZu5qbOTXv/41ACcvXMjHFi9OsDJ0w40IPcJAgjZOdKSXTEKKYci6CtPe92Geo1aMdT4p2NaOIf0m7OhWjCEZAeiAAfDnRe8pofvCLLNB3lrqubqBAp1HXWtymUBPKsL5fhjTqA7SXYvXTldZL98lXak4eg7SPXrmM5ddxtw5c5g5ezaLly7lV2vXJljpPZVbICL0CL0LbbEL8XZiX/c4AkPsI7DZT7djJJgx2AgZMaBEZpHnTkfC6DQdbqQY9Ny/5JaTLfLSUi/A6tO5WuoC+WVyTU0Cqepcy+JZ10squJOLxIKQ1Lx7MJE8O4GG4HMXxoLfG+x3ODjXCIz1PgGTxmACpmEPB1577TUALrr4YiqrqxNmvkpjzbTBRoQeoS/gxrOLNNmJIW8h6wpMux+HadtbgXcwz4ubT0lSWsssVQmj1JP53Pj1nvqX3Dwy2SIvLfUiDJn1FC4Zx4DRI0YAphGMortckexTyoBEgnMbiWvJF2CdO6n0eP3+U4miqcR0EE3AP//d33HOokWMGj2a/7z9dj65bFnW1rnUKwwRmUfIJTTZlmLlGJFUDmHa/EgMwYvlLmkF9PHyzEDipL8Yibq6a50XkLwNJ7POi7rv3iMMOEv9+uuvp7a2luLixP7mpptuYtq0acyYMYM1a9bE17/22mvMnz+f6dOns3TpUpqbm90iu6EY02P3ZKl1fk8CZldXs+j88yEWo7ilJa5hT8Bo2uMwFvJYTGcyCuu0kUYmDlCJctGhjD4rH7rr8jI0FEv+AFaP129RasRIMGAa9wRgZGMjf/rtbwFYeOqpTKiujp8jE0SEHqGv4Bvx6hFlEea5qsI6TXcBW7Da+ghMqo4pwFHB52jMs7Qn2F8mL0mZck5N6LIuHUKXcnQ0XNjrKHuCAUfqF198MX/6058S1v3617/m2WefZfPmzaxbt44bb7wxTt7XXnst3/72t3nrrbeYMWMG3/ve91KeoxgSiDeTpUYt4zAN4uQFC5g6cyZ7d+3izV/9igkYsq/B5nOZFBw/SX0fHyzjsMQ/mkSyF8IXy0Fr5z6iF0g0gJB8E8ZRtAsj02wPvu/HNMSRwH9ecw17GxsZW13N12++meGecpMhIvQIfQW3rblZQ7VzvwQbqz4K8wy1Ykh7e7DsxBhB8sKNsqAssd4lb5Oe7S3Wts+H5uaWCQtt1rNWc2WpDzj55dRTT+22bs2aNVx55ZUUFRUxefJkFi5cyBNPPMHChQvZsmULixYtAuCqq67i4osv5p/+6Z+SnqMA++fkAsfOn09xSQnP3ncf+zZvjse9QrjkIo0iLNe6hGfpjI7uPqkiU7qczxh2YkYLhuhFO6wAOhsb2bR+PQuXLuWss89mHKYjaMFaKmGICD1CXyFZOLA7YU7kyS5sAIG89cydXLQXK69IWcVqnyK6E7fW1HXdYs5vXVd9DuiejiBbDDhS96G+vp5ly5bFf0+ZMoWtW7dSX19PXV1dt/UuVq1axapVq+K/JQokV5CGs7exkTa6JwoKc4T4iF/HhPvIXIc+ysxRdx/frE85j94mOd3F6VoFPHD77Zx8wQUcPXs231i5kn+5+WYasc6mVAQcEXqE3kSY8eBO5HP1agkVln19eV5KsOQs0mcMO1v7ELZjkH3dGdhd6reGJu1iVTdd1yFrqfsQi/kf/bD1LlasWMGKFSviv4cXFLAjJzUz2BqEM25paGAnVh9zszO6ibKk55ZcE9Bdl/ORvU75KeSul1SWvRB9lyqzDdN4f7p2LRc88ghnLV3KUTNnMhEj/+zCRNlIPLxGOhJNROgRskUqC10TtWtMuSkyJLWAL8MiJEbCSESNG+qoiVzPIhVy1qGWcg7Zpuunn/9cYFCQel1dXYIFvmXLFk466SRqa2u7rU/nFW3tmEk8PYVLYsVBOGNpTQ0fkKjxZbr4OgDo/kcJOWsS11Z7h7NNW/Y6l4U0bJlqvR949Y03OGvpUj58/vksWLyYjWvXUo6Rahqw06xdhFnpEaFHyBZueKw7AzvMSu9yytCE7zo6tTwiz42kHpDwRsmU2ol9T6o8T2Almi4SLW/dwRQ734e8pu7DsmXL+MY3vsEVV1zBjh07WL9+PbfffjsVFRXU1dXxxBNPsGjRIu64444EmSYMXRj9LFeQYV0rJrLEtR7c72GErjPFFavPYs++BGVpfdDV7sOsez1z1Zcj5ms338zZ55/PnOOO40OXXsq6tWsZhYn8GYFxKu3BNG4fYWtEhB4hG4Q5GH3Pk+ss1f6rZCHGUrYr2ehj9SQ/sCkE5Bksxz5XElLZidXlBTKTW6+X77l6LgYcqX/hC1/g0UcfpbOzk9raWi688EJWrVrFk08+yYwZMygsLOT73/8+FRUmx9qPfvQjrrjiClasWMHMmTO59957U54jht/S7ClEfqlvaEjQ7QTuECyM8F2LXRN7iee7HhGE5Y/Rco47S1SIXU9qkjwx69etY85xx3H0nDlsxUgz44BqjHUyAiPHSNY7H1IRfoQIyZAsYiSM1PUxLqGH+ZkgUVLURpaU0Yq1zCV65iDWYJJjhNylIxBZRpcnz6+cS+qcKzIuiKUrTA8hFBTkKiLU4Oabb+Yb3/gGX//611m5cmXiuTz7FzrbfLqbz/GjyVxb9boR6s5Af3d1fIHWGSX88SAw/phj+MULL1A+ciS3/eu/8v/deCMjMWGXki9jH4bY92OnZfuibzTyrrFF6BF6op8L0rHQITz1hWt0SYcA1lovC44/iGn78vzpMsRSL1XrS9V2qbMYZzFgxMyZbNq0yXdL0saAs9SHGnwklsrR6A4z9fcwwvfJOO7blfSnuz+YRlpB8AaZzZt59tFHOeeSS5g4YQKd2NDGw5h432rs7NR9wfZ0ImQiREiGZITu6ueuw9JNQhc2kxuSk7ocq58nPcIlWC9zSGRW6nC1r0gtMexz16nqLdcndciVqRmReo4gybx6dKzzW5N+JoQf1ug1wYs2OIzE3O36LUzytqUtf/gDXHIJZ513HicdcwwbN2+mHSu5VAT7yTF7sLlm3I4rQoR0EOYQ9RkvOpDAR+idzrZkhO4jVLHydVy5EHMbiSPhkdgMkWBkGAkblsiZLsxzJ+eUGHiJgMuVMTTgZpT2FXoSmeJbZh1zDDfccEM8vLLAWbJFzFm0XCIhjOLslJS9MrFoP8YhLEm/dmHSBDRgon+2q2UHxgG6NyijA/jVD3/In//4R8orKrjhK1/hKIyFLudtDsrtwszWqwk+R5Do4Y8QIRX08+KbcSkWsyza2tWT93RYrxCpa6n7LHT3ORPo0F95/qSjkeRe2iiqwGrupRipUjoDIXQJfhCr3T1ntshLS70AM0xKx5GXipg+8fGPM3bsWP785ps8/tBDca0N0kvSFVaHdP7kMAu/wPkdpuHrB0a/bUleMDACeGfDBmacdBLVkyYxAZPGYD8myqcDm7a0GEvmJcE+zSQmSooQwYdM5Ratn7sT9cKscp9zNJ36gLXYdfSLyCXysuuRGOu8NdhWiJ2UWImNLivFzk4twr4cXuv22SIvSb0Y4/DLBWLNzcRiMf7n9tvpamxkFOGhU2GNTb7j+a3X4dmWDtz9xYEjDaoQ0zBdgi8H7rvzTj722c8y54wzOPmSS/jj/fczDGOB7MFY9pLNbj+msxyDHZY2Y52okNthZoTBj1SE7osKE/jSZYSl55B16UDPENUQ2UVyMEn58vyAIXeJrhuGHT2LwdMWHCu6vHQMUn4ukLekPjFHZR0lr7ErL2ciid5233eZ0ODbJ1kcbSpNMFkn4G7XvwuxjUk+5YUczcCvnn+e3z7+OIuWLuXIM8/k8fvvpxxD3hMx5L4rOLYqOKYLY53oyBuZsBGFOUYQJNPP3Ygvl2SFxHVqjFwQuq6XzAjVYYfyvLhOUYleacEm4mvDkHk7htilM5BYdh1U4L4fNRvkJakXYfTfbCB/Rrn6rCF58i75rvU5d5JQsk4gmTc/FyMBvU2nD9i2cycA0xcs4H1s6mBJBDYCE/2yH2Olt2JmnZZislDKgynRM7peEfIP6cSfu4uM8LTc4gtZhNwQuhv663PWdgTry7HWdiGm/cv7C9qd9eJrkmPbiSz1nEDPxMwWou+JphwmlSSzJHyEnw7Zuw6cMMs/ndGA78EQS+XrX/sa5114IXNOPJEvrFzJd26+mUqMvj4aQ+7VGILfhWnQlcH39mDbMCyxHyYi9nxFT+QWl9Bl5nOu5JZ06qVztGhyL8C0cUnVK5KmtHGJNpPIl5bgHEXY50uiZHKFvCT1LoxMkAvIu0l3NjRwCP/sUUgvaY/Pmk5Gvj4rPpm17xsZ6HU+fbIT2N3YyN3//d/8/Ve+woGDB9mPfTH2Pgxpj8JYLEdiQxunBPs0YON5d2GseN9kpQhDG5kSuhhM0p51krpcyS2pJjmFhVEWq+1C7DJnQ+op+ZbEoOnAWO8HsCGRXVgpJlfEnpek3kF2Cb0EhUBpoKkPq6lhB3Z2mJ7CL3+8ZG/0NR4837WX34cw8nfXJRsBaFL3JQeTxlYRvK7v40uW8C8rV9KOaZyHgs8qTBqBKuzLCHZgiH428C7GepmEkWl2kfiKsAhDG6n0c5/cAt3bZiq5padSi66TJnJfHWW/QnWshDi6L6nuwjpXpcMpw1js4lzV8e+5QN6S+vYsy5AGsV99bid82Cbf3XwtPtJ3G06qjgDnHALXKZlqBKBf2OES+50rV3LRpz7FgpNOYuXKlfzjzTfHrSeJcGnCELosU4L7sh84BkP+72DkmjLs22bayPyBjDA4kI6soR3qenSrQxVzKbf0JITS9wzrMgSH1fHaN7UfK/kWYiz2TmwIpMTh5wJ5SepdGALKBbaoXOp7CJ/pmUynS0b27m/fvgWEdwJ4vkv99J+vHwit04uV1NHYyH3f+Q7Xf+977Hr3XUZhszwKuR8MfjdhyHoUxnqfgJmkNAL4EPA2RqKZjAmJbCSSY4Yi0pVbStQ6gSbzVHJLrqQW1xHq0/b18y3yidRL6qLT8OpRcTPWKi/GzpWR5yhXZJyXpK5vfLYYG8gvo2tqaCWx1w7z8stv93uyz1SkLtuLPceEdSCpziuNQx6eI484goKCAi678kqeWr2agxBfXHKXGacHMHMCxmGGm3uBWRhS/zPGoToCI9XIZKWI2Ac/wgg0XbnFF66oR5qdav9M6uOTf3xEruvqI3Oph3zKd03iAi2DyuskhdQlLFKypeYCeUnq0DvEIQ3ShwLPusKQfXraARQ564qcbfpTN1r5HZbdUZZfrFzJqcuXM+eUU1hx8838eOXKeArSZqwMIw6fJuzr8vYAdRjNfQdGnjkVeB1jqR+BfbuSTL+OMDjha8cuUeq25tPP9QtcZFtP5JaeSC1udIsrt0Bi5JkbbuzmnpH9pRzdWQmxl2LzxmSLvCX1XKG6ujqtZF6+BtjTDiBsBJCO7ONr0NpSkfS9kmNDZ3c83NjI2v/6Lz7zjW/Q1dLCSIyVPRJjcQu5S3SLkLs0dLHaj8Tmp1mA0dZfxkTRVAH12ElMkdU+uBBmfIRZ6CJhxEgk82SE3lPr3DVyksktycgc/FFmbtSYJnZ9HySvuljmw7Eh0blAROpZYPHixVx33XW0tbVRX1+fs3LT7QAKPOsztf6TaYqa1CUhkbyw+8gPf5j2YP1wjOOzAkPKQu5N2JduiFWyG2O1T8GQ+FsYzf0C4EVMVNI0bPKxSI4ZHEhHP9eJuGS7dsyHyS0uwadbl3SlFnfEmozMu0i00t0Q4A5nm+4ExGfgRsgcwr6AIxfIW1IvSr1LSnxo/nxKSkq45+67eXLt2vgflQq5Iqlk5O9a+5r80yF+/RBIIywFXnv7bbq6ujh1+XJ+/dBDPHv//fHpz8XYdzlWYSYmiUUu8swwgrS+GOI+EiO/NGKs9unAc9iwyC3BcZETdeAiWftx5RYdoZXgiCd76zxdx2wmZA7dSdwNC9ZRY27KAl0ffV1ybrkP4uMrJ3vkJakXkpuhzt4g8uWF9esTsj5qhw7OOne9u00jnQ6iJ/CVW0gi8RdgHrZCjKUtD8Zd99/P/DPP5HN//dd0VlTQgH29nWiDYtVLUrAqEsn9QLBvDBO/PhYj32zARMQsATZiwh+Pxlj3DUShjwMRYfq5u+h3c0J3MteaNGRG6OlEtaRD6LosOXey+R1h6Qo0dD2kfHnO9Pkh8fnLBnlJ6kXkJkujJPM6sqaGMaRulGGOnnR/63V4toXt0xPooa+OGy4E3tu6lYKCAspramjA5rmQdL3l2ORFsozAJvw6EHzux1j2+zEP+GiMnr4DmINxnv4pWF+JkWYO0J0AIvQ9MpVbxCrVpCiSi88qT0duSeZb0jKP79WP2q+ky9LPnF7CiDwTMteQjgJy/+6BvCT1YqA2B+VUBJ8jMRkLwxqn7u3T3Q7+Bh72nSS/9bpk691tPuj6zf/IRziI0QRFWhmOIXUh9+HYadJC9q7lrmPUqzEP+npgKnAOsAn4C8Zqb8Q4VnU634jc+xbphivqCBfw6+f6P0zXOncJMhOpRVvoPqINk1rClkzI3BfI4PqvcoG8JfVxOShHJJyR2AyNEN5AkxF8T4jft909P6TuHMhw/9W33cYVf/VXnPvxj7Pihhv49x/+MB69IAQvL9oox+rsIsnIizgqg/33YyNm2oJ7ORWjp78LLASOAv6I+d9GA1uDY/RLOCJy732k0s/dUFhN6ELmWj/PVG7xdSioc4Xp+GKdF9OdzFHnTofIMyVzd7tvFCEBCblAXpI65ObCDwSa+oGGBoaF7BNmCfus67BOQa9Lp1OAzDoGX/luFIJuzAcaG/m///EfrPze92hubo6frxD7wB7GWOP7sda7vB1mBFZ7Lw3WHw72Fet9NIbYO4BfYxyqH8NY7G8DMzEyzQ5s+GQkyfQuwkIEXe1ck5a0HSFztxPuKZnLumSaucgaMu9C19/X7l2pRev9PjL3Wd7utlT1LFTbfJ1NT5CXpN6FzdmSDcoCTX14TQ0H6P7nut8FBWp9st45mUM1HUtbf+9yfvsIHxKJXT5d734HMKa8nIKCAmpraijDb3lpgm/GzCYVcpcY9zJsjO4IjK+jCZP98UVMArCTMY7S3wDzgI9iJi0VY/K1vx+ULcnHInLPLVLp59ra1NKGjN60hZ4r6zwsBNclTJfM3fO6RksYobtkni6RpwqhdLX9XLTbvCT1XGVpbAo+D2AsRt8kHz2JIdl6UnwXuL15kfMpyLRDcH/7rHsdviX+hHlz5jAWQ6iy6PBDKccl+GH4rXd5sYaQeyMm9HEqMBfzv40Ejgu+12PSDjRiHalSh4jcs0c6+rlIB9ra1Np5mNySSjbLNERR6qCtXzlWoNu2llq0xu+bAOWrg1u2Xuern653GB/kIlVA3pL6jhyU824gv/yloYEP8IdTJSN2t6dO91icbeBvaKk6Ba1HJoOP7J+67TY+fvnlnPvJT3LZJZew9v7745q4JCjS5CryTBc2z/QhDHFreUaHRo7Bvuh6C+Y/mxZs34lxTldgcsiMCZYPgm3N2LS+Ebn3DOmEK4bJLRJ7nSu5JZUz1l10vaG7oaJHnprU3ZdXu+cvcMrFs81nkesMrO6znWsMKlI/8sgjKS8vp6TEiBb33HMPc+fO5aabbuKBBx6gsLCQb3/723zyk59MWk4nxqLLFpWB/FJZU8N+wsnUJWOfFtfTDiGd7Xj2IWS7W3/f8QCtjY384cEHufgrX2H6tGn8EWuVaXKX79qC78I07hhWMjmIkVwk7UA5NlpmdLA0YfT0Skz00oFg/YeBVzGkX4dxtG7HWPhNznkjck8PbhtwLWSJ1nDlFiFI+b/1qC0dQk/HOnflHk2ePgNFy4i609FZIN3wRCnLR+S+OiaTWIpIfE4hsTxIvE/ZYlCROsDjjz9Oba0NSPz1r3/Ns88+y+bNm9mxYwcf+chHOPfccxk5cmTScnIxzBELRHKOa/h6c9/2VNZ1WCcA4USeyw7Bbdy6sbYeNEkDirDRLTHsy3blvgi5t9L9gS/CPEQFwbb9GAerTFzS+vsojDXehImKqQzKGg2chpms9CymUR+FiZTZgdHjD6lzQkTuYUhXbhFylf3T0c/TlVukvfscsck0fP1suKMCn2aeLpmHPbs+TV9LPz6rXI7V0qa+Z9GMUmDNmjVceeWVFBUVMXnyZBYuXMgTTzzBsmXLkh6Xi4daXmXX0NDQrbxUs8PchqKRrEMI0/Dc38m++yx2vU4vYQ9WMbA9uP7mlpb4G9ILsCGLIr1Io9UEfwhrwUvDloc0prY1YcMjK7D5ZUYH5ezEzDjdiZFmrsJEy7yKIfWpmNwyIssIubt+hAipCV1r58n0c52vJxPr3G2PYR2JK2m4ZC7n1dKfjsDR1rmPzMXa9z13qSQW/by4RC6QDq/dWfKW1JcsWUIsFuP888/nlltuob6+PoHAp0yZwtatW/ukLjWB/FJTU5PxscnIJFmH0NedgbbQ3Qe8c+RICgoKOP9v/5aHfvxjmhobuz34OhmYWHOit2qCl3zSbeo4CUkTgj8QrB+JsdpFlinEWPjPYiYvnY2x3B/DaPFVmJDISRhy34XN+e6SQb4ilZWs5RYtcbhkno7cIlJNMjIvoLtFLpawj8xxzqUjtrRe7tZRrjVMatH1SiazaAetK1Xq0YI2cGQk64t7zwaDitSfeeYZ6urqaGlp4YorruC73/0usVjqx3HVqlWsWrWqD2rY+0inM/ARv9tRuA3XPS6ZHCQN+Hs//CEfOvtszj7vPBZ94QvcvnIlJSSmCPBN0Qb7Oi8t0RzGELzINCLPSLIwkWr2YV9oXYV98fU4jDX+EEZ+uSTY51mIvz92MsZy34mJmDlARO6+jjwbuSWZdV7gfCbrRPS5i0mPzN3Q27AOxz2nrouuayqrXJeh75/buYhhouXHmDqPPCu5wKAi9bq6OgDKy8u5+uqrWbVqFXV1dQmW+ZYtWzjppJMSjluxYgUrVqyI/y4oKMjJhTcG8sOuhgavgwZy0wP3BtH46qUbte4ECpzfmuAfeughzvr4x3m/oYFdJOZ7kber69869E1b8SOwVpUmeHmrUpsqrwxr7e3BOlirMeGQ4zDhjQ9gwiAvCn6/iolpb8OGTe7ByDf7seSeL8SeqdwinaoQulib6cgtyXxKehSoOxCfI1STJnQn8lRk7o4GXOMl2b1wyb2AxI5Grl9LPTIC1dIP6li5TllygUFD6i0tLXR2dlJZWUlnZydr1qzhuOOO44wzzuAb3/gGV1xxBTt27GD9+vXcfvvtScsqJDfa1ckLFlBQUEBdTQ0j8MeCQ3eSSBZDnmw/F31FPnqoDImhXtXqdX5iZWtrS4hcrPcytc4n04h+rgn+ENaCbwnOKznchwV1a8OkDmjEWO91QT03YZyqc4FzMVExmzBhkO0YC78KY7FLtIzo/EOZ4MNGYMmckVpC0OGKOvwvXUJPNSJwU/W6xOmTWtyRg3aM+8g8rF4ueet2qn1Nsr8rr+g5G/oe+Yi8xCknFxg0pN7Q0MCyZcvo6uqis7OTj3zkI9x8882MGDGCJ598khkzZlBYWMj3v/99KioqkpZVRPa5X044+WSWX345nZ2d7Hr7bcbSfcINJFowYdvc7fp32H7uendb2D5h+yXbPx0MHzEiXm4nVgs/RKLVp633MvXdZ5nJiwMqsKGSQvBC9hIlMzwoowObS2YU5mUcBzDZHscAM4CzgBMw6X03BfUcGZznAKZj2I+NaBpq5J5M+nBzkWjL2NWDU8ktYaQp5/Tp9Vo3d61p1DlEh/bp1C6Z65GAe+0C9x5IHcJGC2A7FDm/9gvJ6EWXWYxt6z6Zpp3cpAQfNKQ+depUNmzY4N126623cuutt6ZdVjFm4ko2mHnEEQwvK+NQayuH33+fScF63bDdhu5+9+1Lkv195eM5zrcuVSeRquMIK6+1pQWAJRdeyL//4Ac0NjYmHKujDw7TnbTFOtcE79PiheCrsBp8C0ae2Y+ZbCQdQCXWet+MkVomYizxl4J9jsQ4VE/CpCN4JSijAhMxcwAry7QydDT3dPRzfe8hUU7Q4aiQHqGHRY5oq1Xr5mFkLnXxySxuvVyLO8yHlGy0ENa56MlVbdi5GNKhyL7iC3JlRynDlWU6yTNSzyVykaVxYkUFBYWFPP5v/8bO559PyNIIyckwmfWu1yXrDHz7uGWFlevbL6yu7vn1A9wJPPzjH3PFVVcx/ZhjWHTWWfzs/vu77V+ADRsTC0ssGteSEXJ3SV5bkfKy3qqgHJFlWjAO0CIMOY/GWOAdGIIeh53ktAljqR+FiZQ5DUP4z2EiZEZhiP8gVrc/RHjnONCRTDP2yR6awHxSgiZzSNSsNVJ1HlpP1h2Jhm5vHWrRk9qETF3N2yez4OznGy24RK5DEGXGtFjm0pGILCht1tXJ9WjHl4rA1/H0BHlJ6pD9DawKtOS2gwfjDVH3xMmQjiSSrjWdSeeRCbEnG0XoIWOssZFnfvlLZn7lK8yZNo0n8SdDShW1EyNRrhHrXDtHhej1A6jT+HZirXedIXIUhuAPqt/7MVbRu5iUvkdjrPaTMQ7V32LIvQITMTOORHLXETP6/g1EZCK3SFuW0ZUQp3bypWuda1LV1r900m7OGF8YoHwKEbpkLu1SdxZhRO52LIUkvmBdb5M66BmyrVhCl3shbVDaqQ7FDYvEkXpLPaUDyMvol1yhE5PVLxscVp/7g+8+b3qYdx3PendbsnU+i0aQyhGbbEThWxdG+PLAFQYzS0dgyK+dRMtGHkYfyWsnrNy/mNpfSF5b8q4erx+K0cEiHUQLxkpvwhD6mGCpwuaXqcVkffwTcCzwEeBvMM7U9Rjnahkm/cAYTNtpCsoWbXmgyjPpyi1CRGAtSm2hJ3OGhkktPks4TLP3hShqQtThgHLPcc6Rjszijko0oUsd9EhSp7qQ87pELp2Uvn9SX03kWmPX0ozUo4TcpC/JS1LPRZbGt51kXvrhKaT7w6S/u/uCv0NwO4awDkOvw7MtbB+9zu0kYp51GroTaAnuxaGGBkaRaOHIA6KtFR/Ro47Tzi2pn5Qh70vVjlcheLHoZf1wLMG3YEi+ASPRVAfbqjBW/scwmvtzwGuY1+mdCHwWeA8jzWwNyp6ACYfci+nQZSJTMh9HXyPdcEWf3CKE5ubrSSW3pDpPWFSLwJX2dD3CyFyPLlyHtq9j0SSqr1sMCTmXO+NZLGpN5Mni9qW9i0UeVodip4xcIG9JfWeWZQwP5JdhNTXxiS0Qbq37vsu+Ycf69tVlpOoQMukMwkYSYR2HLnN0cC/GBqGd+sHXUQra8nKdb67OqAlePxT6AZCHrgWrX2qSl3enCsGDHUYfwEgpo7D6/ATMhKWtwAvAGkzqgeOACzGGwCvB9kK6yzLN2Jd1C1JJT70BH9Ems5qFDPX/4cobqaxz3V59lrBLpGLcuBKfdiC6Wn4hiUTuyp161Kc7lWEkOiz1MyftUaQVIXMxNLSfR0hdW+SusSLr9H0IO7/cT3296ci3qZCXpN6FzYWeLlzLt019ypApmbWcjFCTSTbpdhA97QB8o4FMOqMiTKMGGFldTTvWcnIdX9ra6/QsMllDa6eyTc8wFWLQEz+0ZHAQq+OKZTUCm9Z3VLB0YTqEZszDvA3jWD0S+DQmtPGPwJMYh+pMzDtTtwNvYMi9CBM2OQmb+70Za+FpAoDeJ/hU+rkrtxTQPb7aJ5O5hO62Y/2fuOdxz+daptKJa8nDJXOflS/1Eriykp70po/TbUXPgZB2XIx9gYsrr+iOR7dRfW/cKC6pt9S3i8Tspfq+V5M98pLUwf6BPcUHgeTwQUND2hkfw5yzYU4d3/b+7ih8VtmLL77IZ9vaOOPyy/npf/0X2zZv9hKvthjFKeQ63dycHZrotcNOrBuflKDLldj2fcE2kWkqMQQu2rp0JAcwRL4BQ+TnBefZiJFmjsCQ+CmY0d6fMZ1BMWbC0xSMhr8DI88cIpHcpW6Qe4JPpp/75A9IdIamklvC2pJ7DlfikI7Ftap9MouOKNFk7oYE6rppvdyd0SwSibQtPVNZ0lGI1CidvrQRPYrpxBK/zu4o90GfT6x5PRpw01D75KS8m1E60KCTeaX7cHam3iWOdIZh6XYS7n497SR8pFEAPLR2LWf+z/+w/HOf48PLl3PbypXdnGJC5JrYXaIH80BAuFWvw8pcfR4SH2whBEgkkKZgKcC+dakKK8FMwFjcfw6WiRh9vRyjr7+Gca4eFez7HvAWhsiLMHr7ZIzFvh2j44v17t7fXBB8T+UWH6GnY51rMhdC0+fQlnGB2t+V5aSjFulDT9hxSVnLFa5OLfuK81L7CYRQDwaLyCuxYL/hapF6y/3UDk9pY7ojCbPGpZ3JNQmZSxuWusuxEjVTEuybLSJSH6BI5yH3dRK+zsC3Xy5HDQXA5rfeAsyD00j3cLmwCAhf9IImkDCr3g0V0+QkudvF0pMJTsMw1rmQmowA9mNfSTgSY8VXYch5H6YDeDJYdxQwG0PS72BI/UPAMZhQSElLUIjR24/GTGZqDMrfE9wjHdYm1ybIhOAzkVuEdFypQ0e3+Kxzn9SiCdWdLanlEX19Yp0L4WnL1SVzLddIJyDQ5xMyl/9ZyF/OIeGtQqpFWBIXv4sb+aOjX7RFLiM97SeQ+ySRWtL+tDUv90zOpUcS7oSriNT7ETqX+kBC2CQQF27YI5iG7SMUaZhh5wKoV3KUaNo+q1EP1fWiH0o9bNcWoY/o5Vp8JC/DZSF57biSV+jp4flhbLhrE+YhHIl5+MTK24R5+1I1xho/iCH3aozeLjNUX8SQ+zuYUMgJwWcLZhSwC9OZyDk1XJkiDOnKLTpKQzsGXdLShC7lh0ktbiieK7X4nMVaYpH/RohWW/laYtF6tbQVmZsg/hLprDqw8xREXpG2W6qOE3KVNqRlPy2LSKerr1PfR7mH+l5KXfUIwiVx7Sx1O5NcIG9JPdsLnxTIL5NqakLLGmgxyz1FWAehLU2Ro8bV1HSTFPSMuwL8JBRm0Wvi1zq9Jg8pR+BGUoiWKqTSjCFtbbVJigHXgdiGfUB1vPIHGKtbjjuMkVpqgI9jUhC8AKzDSDPvYYh/IqYzmIwZBezBdCLNWIJ3Zxgme9jde+mSuZYT3GRTPrlFlwvhnYWOs9b/oQvtAJdFW82+qBJdL229uzONpTNupbu8Io5y0clFXkkWhqjlHzeOXghfR+T40gL4NH1fTL47qUo+c4G8JPVCjAWWDUrVp5vxMewhTEby6fbSuegocmURaCQbGciDIp2AdjDpEEBXq01l1WurxyV66RyGkygtuLMDZYgu5yvHkHQ5NlFYLChLyzzNGIdoebC+Pth3B8aan4yZnbq4EDZ0wVqM83UDpu3VYHLSjArqsBcr9RwkkXRTSWVhcohPbtHOZlduEWj/iVu2dgb6OleBWLtuqKBcj8gfrvWrDQDpNISUxcIGG7nSjLXKRScXP4mcwxe94maahESnvtTHvW/asSmdhpaAJHxRj1xQ5bl+DPc/0SPQniIvSb0Y81AJwqSIZDgUyA0tDQ2MD9Zpwu0K+R4L+R5Wj3T28e2Xav9kx2RynOy3N7gfuxsaKElyvEtSbiQO2Ies07OPthq1Zu4LofNJPqUYUhUy06FtEg7ZhI1vHo7RxsswZDEOQ1ITgjKaMHp8VXDe3cH2eszLOcZ2wenAP5bDnhZ4GngGEw75AUa/rw7KrcGQlMg/MmFKx03r+6BDCV1JRByUPgtTywSuda4lnTDLXE+acQlESFO/8OQwdiamJmetl2vdWkIKhZjFiu8I7o8sMrJx9x9GYgQLqk4yUnCdnqh1YXq6dmpq+cclcoHbKYjWriN8dB3SCY5IB3lL6pOyLGNqIDdMq6lhslofRuy+hygdsg/bxyXNdDoUdz/f70w6Fn1NRwT348iaGqro7tR0HXBdTlnSqLvUd9dpqqMS5LjDznaxHJNZ9q60I7HrUi8heXn43sGSegmGfGWEUBX8LsI8tDXB+bcHy1uYFAQjWkwEzTnAhaXwbpuRZ97EhEa+hSGHakxoZCeGuPZhOg2xRjUZaYezEJ+rE2sdOx3r3JVatBYs5KXJ3JUydOy3kLlYtNrS1pPQpN7DSLSyi7Bk3ISdT6ClG7HiZVQlljnq2Basjq/9B7KPngfh08R9k9n0SAVsm9SOerkHrtylfUPaqZwrZETqsViMPXv2MHz4cEaMGJHjqvQdJOwsGwxXn2NC9smUMNMl6mTl5nK0kG5ZMWzK0InV1YyjO5nL9w51TKdnP5ztom27DlMdLgfdHwwd5ojaR1u2mvCFDITI3P9ULOZCzHtPS7Ev8ygPjqsK1g3DpBn4ECbqZQPGKv89JpfMtDb4KOalHWcE5b0f7LMNm46gEjMRSkYE+4NPN75ayKUsuOZCEifxiDQhhOazzuVTOgottWgntpC6HCuWbTt2ZCFkrglROhv5X0SSE1IeiSVMgjL2Bdd7KDhG6lcZ3OeRwVLulH8Q0wG0qGO170DO7yNxqa90ElqPd8MW5R5LjiHpeLUl7gYuiOGinbPaOBpF9khJ6l1dXfz4xz/mrrvu4qWXXqK8vJzW1lYqKytZsmQJf/u3f8v06dNzUJW+RW/oyql6XJ8jKRl6Ip30RMJJl9iTbRM56rxPf5q1//VfbNm8OcEq1CFt8t0ldf3b1yGgtmkHlRth4yN9qa9+gOSBFLhkr514wzFkAsYgkCF8KcbZ2YV9D+pYTF6ZUZjO4SLMA/9n4C8YeeXnGMllLmZC01iMhb4HQ2S7sSRfEpRVreq9D5uWQO6bdGISMqktU7ByRxHdwxW1fKBzm8gIwNWbwVrmOmwwpu6XdAaawESGkcgiseDFvyLhpQex0+6LsAReFSzlwXFgUy9Lp+dKVvo/1yQrJO52EFrvl+OEwPfTvdPQkTz6mXDlFHebtF0tFeYCKUn9tNNO46yzzuL73/8+c+fOpbDQ/K179uzhqaee4sYbb+Syyy7j8ssvz1GVeh+dmIcnG2xTIXx7g3UuqYfFd/v29e0Ttp8PPdHjwjoG3zm1g8iHPzz0EO+uWMGRc+Zw7Lx57Nq8udux+uFyrXK3A5BFW/jyO4z4xZrTRK/jprXDTBO+HhlI+TJ8FlIpwA73izEEUBYcNxEbedGKIW4hxbHBvuMxMe4nY8IZPwg+38ZExkzAzEatwxB6GYb02zBtdXuwfhiG1I4Mym/B5jI6iH3XqljpMtzXn6XBNiHFTmzgQIn6Hha1IVaqtk7BkrmQNFhi1iQqVnlJUJaUIzKJOM9lXsGYYKkM1sWCe72bxKRqcr2Q2KbAtgVxhFcG91Fb+nJ/JFpHopLEb6I7L+1shu4SoTsCEtLW/h5fdNdOskdKUn/88ccpL3fjO2DMmDFcfPHFXHzxxbQEb78ZLOjAPCTZoDjQkItqahLK8jn+CjzbfYQf1gmErQ/bx/c7nU7Ft1862wqBxsZG/vjYY0w9/ngmTZuWsD2VBeKTedwOwEf+nUkW6Qj0ZA6ttctD5cYOa3kBbGchMoNMajqElQ/2Y607IS/Rf98Lynwbo6GXY6SZI4DjsYRxAGPJV2A6iUmYB3w7htCqg7o0YMhmN/ZFIMODMncHddwSnH8PVkuXe1YYfNedXFtQjlikFdgwOyFRSclwGBtxIqMc0ZrFMan/hyKsE1Ni/mPBfRSrWlvlpZjObCw2OqgUG4O+HZtATYjcbRcyGhmm7tGY4LMC2zETlHsIO0I4gPVjyH8Y5lj1RWu5Ppuw8EY9stQjoD4hdSH0xsZGnnzySaqqqjjuuOOora3tts9gQQfm4cgGLerT/SOSkW0qsk5F7D5STxVNksl5wo5LVoY0yv1BXnV58LWlohuuG2Why+1pB+CSvyZj1xkm24SUtJ7sPoSir+qHUCw0IUQhyFYMwUn5RVhr/xCGxPZhJiVVYEjrWIwFL05S/XCPDbaBkXa2BuVPwBCaWKli6U4OznkiVh7Ygfk/tmEediGoMViiHo0lmxg2LHAXtuPaEVxfF4ZUC7AkLfdKLHiwob4jSSTQ/VjJ5lBQBxnRTMAQehWJRL4TG/KprXn9H0v46pigjOqgzAqshNSJDYM8ENRFlianTq4e7rO45brLnEVGJJrchfylPFT5evSZC6TtKD3zzDM58cQTAfjqV79KQ0MDs2bN4qmnnspRVfoOXZg/NhtsDeSXrQ0N3TI+JpNMklm7qfbNtINItS3dDiDVvkLaW9Q9aaR72J3PyVnobHPX63O6v4uc9T64xC8PkFjeQgwy+UOcXvqB1ha9dpyVYghI6lKDfQ/rMAwJFWCdh2DIREj4AwxZvoAh92Jsxs+jsBNqGjFE9TFgZCnsabOv5NsZHLMlKO9QUK8JGGJZiCGsqRiSfRVDkJMwpF0YfBcH7Phg3eHgGrTFugtD0hOC+6XDQ1uD+1SFjZIpJDEevBXb2ZRiSFfH6w8Lrl06o12Y0cc+bESJEF8ptmOURaSuYuz/24KVafaRSOI6wsmnd4ulLWQtndQI7DwGnWpArrmARMIWI0PamHSsbnqLPp98NGzYMO6666747/b2djZt2pSjavQ9sr2B1YH8Ul1Tk7SsnmjdGulo6snOkYnMkqlk45JteXBPhtfUsFvt45K6ELd2vrlEr49xJ7iEdQCunqnrFjYycJ1o2qrvcD4PYkhOn78EOxNVdPBCDAGNC46pDPbrIFHH3oclu7exztAWTJRMG4Zwj8KQ4SNAQZvR08cCS8qgow3augzBy7ITQ/IHMPJPEUavPwpDZEcGy8+Dek8FXg7qOC6oVyM2ykYcgVq+iGHJSCxkkbB0OKXOiBgLypiOGVWMCY6Ve/EOZkTRgH1toEg4ZcH9qQmOnRjUdWSwXaz6vZiRxJ7gGvZhO1KfjCIjEZGQJPePLBUkRuaIjwG6k7XEweucNvq3jlOX++OOKLONyoMMSP28887jueee4yMf+QgAJSUlHH/88TmowtBGmDMyXaQzJEtG6mHHp+osejKiaFfnbMZPrO73MMeSz9HkW6dJvSiNY1Ltr60tQVhMs5t+oAlDJpWYh7QB85CK1VuGsRJHBr+PwEoDIuU0YyzhYzHkvBujtTcH60ZjrNiXgJ+3Ggv1CEyu97lASTG81mGctZsxkk0VJqxyO3aEMQpDVEcBi4Pr/mPwuwHTyQih7ca+SETITSJoJDxQSMmNiOkM7se0oGyZyHU4KPctDJHvVPsXBMdMwZD4xOCeSCcQw75AfEtQTiNWitJ+BLDEXYkNRR0R3IMKrMNUInHkP4HE3P4S/XJILTIj+bCztKvFder7ImTcNpcN0ib1448/nvPOO49FixZxyimncMIJJzBv3jwqKytTHzwEMZASeoV1HMkaiS/0URO2W6aU5R5XqPbdEdyT7Q0NCZMsOtXxnXS3lvW5M/nt6xBkn2QWfNhoQR8jRKsnM8nvUqdcCQ8UGUJirVuw1vxODGmIxSaTa0YF38diZ68WYQhsJoY4RmLI6x2MJVoAzAjq8AFmAtNLmEyRlR3GEj65Gj5oNNuE1F8FFgT7rwv27wKex5BZVVD2Ceo6jg3O/UqwTeoHidJCK4bwdge/q4F5GCIfH5Qv+vj7GCLfiyFMiSaqDcqfgJVSpLM7gOmoGjEdZzPW+gfbKY9y/iexvvUiU/vF6pbOSJO2G7aoSVznANKkrYnbRSqjpV9I/YYbbuDuu+8GYMOGDfzwhz9k48aNvPPOOzmqyuCCzqfuQ67+oFwgHQlHI1Xdw8qbkOKehJ0nFWHLtnT2E2jnqWz3jVrSHbGEdQhu5EMB5sGXaJDDGEKrDL6PwJJbO8aaHhnUsw5DJOUY2WU0VrefgiX9PcG59gbliiOzBkOY7wIFjUaTXjQZ6mbAqHXWMh8J/ApDUnXAH4K61WA6jq3BdezHlLEQOBOT+kAcrxJhUoKx7N8I7u+pmM5iYnAdLUGdXsc6SUsxlrtExIg2rWWUPcG5WtT5ROPWM7j1fyOzXiX0VLRu6YSEuCV6p4XEtAM6LFWsbU3c0oFBesTtzpvQE8V8i3Qw2SJtUp82bRpLliwBiH8OZmSbH6FIfbplZUqiPUFPOo1M6tWT8uWeiNc/XehQO/lNsM79Xqh+J9PW03HI4nxPds0x51PXExIjXgow5CAOQ3EwDsOQmuR42Y+NkGnHSB41GLLeiiF1sTiLsJNuujCW7JjgnJUY63ZHcB4Jg9wJ3L0NFm8z5/jcZJjzOXhnDRT92dTt/eCadNz9dgzhVWE6iD1YyWYGdsKVhB+Kg7gJQ+bDyuC9VhtxMwZD4BJiejC4Z8ODeyVa+AiMHDIKqy3LMTJRTHRoGR3puQgCIW4941MvWvN2rW09Cc5tjy4B+0IYdSijjknXobRuKKP+fI3skTa3HXvssXz1q1/llltuobS0NPUBAxiF2NmBPcW+QGrY19CQdlnZWu/pknI658llWYL96p5UONuS+RZ8Vk+qfZPJOMnIvkj91haU7pBkn2L8FpfbMbhhmPK7i8TZklWYB/0Axpptx5BjGVa+ECKQqfY7sGF/nRjiLA8+Xwq+i3P0Y5jX7L0YbCP4Lnr4P26Did82vycBn1sIo8fDEw8acj8iqNsmTAcjHZOEBXZg5B7RuCsxxPgnjKP1L0Hdq1qtpSydcQF29qaEiepOqglD7FuCeyIyiESmFJA4A1RyxOjp+9rSlZBTsd7leEntoElc9tcjQR26KB1rsSpPx5tLO3GlPIHrjO/yfHe19myQNqm3traydu1abrvtNmbNmhXX1D//+c/nqCo9x9NPP82KFSs4fPgwZ5xxBrfddhtFReERz8WYRtkTyJ91dCA1HF1Tw8QelpUL9KbMk+mI40iV1GucZ3sm5O1r4GFWcrLJS7JO1rfjR6HzmUpn1w99IYkTSnRschuWBFqx1mg7RkaoDPYbj50xOgajHYtjbw/Gem3AhtY1YKzkDgyBfzxY93OMNT0POHkivLrdSCNTMSS6DSPBtAF3/N7sW4HRs8ePghNnwLnlcPAANG6DN7Yb6WQPVpMW8m3H+gymYHT0vZiO4VBwXeOCaxsT1L0Lm2RrN6aTEGdrAWZ0MhFL3jqEVGvg2gqX0E/pBCRaR4haIlvkP9RkLKkMtJWt/18fQac7AU7PiegM2V+Tep/Hqf+///f/AOjo6OCNN95g48aNbNy4MUfV6Dm6urq4+uqr+eUvf8msWbP41Kc+xY9//GOuuOKK0GNK6K7LZYpK9ZltxkdBJqSX63LStRKS7VemPkf3oA7ZwnfdPsLXxO9aUfq7u788oD5oCccN1SxV2yuxE5j2Y+OpD2FfAzgSY6FXY8iqCqNnj8Y6DWdhIkcmAZdgHKGLsakHFgLrtpsXZp+M6QjexxD/S8HxR2KcpxKvfnAfjPijmbw0ZxSMPwLOmw0XlcP7r8Mbb5t67A6uox07KWp3cN3jMB1EDdbZWYKNDpKYdyHdYVi/gBtZI7NOxXrfjc2No8MdJZxUjpcIFj1bWFvWMoIDG6GiiVV++8Ja9XYdjii/XUscuss4ep27PltZOKMyWlpaKC8vp7i4mLlz5zJ37lw+85nP5KAK2eGFF15g0qRJzJo1C4CrrrqKVatWJSX1QuykkZ5imPrMtKxMSTcV4YaVl6nkEbZ/uuWXqM/hSc7dG+iJczfsGN++7j1wH1TXgnOH1SIjNGKJYBc2jcEmbBhoR/Bdly1ZMIX8HsYQ+gFMtIvo47MxUsxDmOiZGgyRj8FY5B/CWPGjsSGCMllHHLv7ga374KV95r+cXgrNbTCmFE6aB6NroFTCd9qhaQ/sCYLAxk2G8rFAJxxsggN7oHkf7G8031uxoxmC+3KAxMlBkJgTReo+Rd1f/R/pTte1fDVBay3djSF3QxE1mWsr2/2f5f/R9fDBJxXq9bLuiCRlpIu0SX3mzJkMHz6c448/nnnz5jFnzhzuvPNOfv7zn+egGj1HfX09dXV18d9Tpkxh69atCfusWrWKVatWxX/rxD+ZQJOY1tRzNWyC9OvVU6JPdmymnYO7/57gnuwJQhpzhXRkoFRhnZnUJ+z/DJN5tEUfo/uDrx17QuhFGCtciOsghrgOBftWYUlepBwJ0SvB5kSZHpx7HDa6YxHmRRwbgY9gnJ27gY9MhMbt8DTG4h6PiX6ZjI3zlrj07Vipam9bYAmPhMOHoO0QlI4iLvQfaob9u+BQiyHwMTVQHlg6hUVQUGjvj3Y6yv2T0cwIbGgozvdCLMFC6v/IF1roSmna55IqrNA3iktlgevz6n0KnfUSJNDnIY1btmyhsbGRDRs28MILL/C//tf/iqcN6E/EYqmFgxUrVrBixYr47/KCgviMx56iJNCPS2pqss74mA5ySZLJkI2zZmRwT0bW1MQjHPoCvnvje9DCrGv9PUya0cdruKGWWouVIb98L8eQ0TCMpSwRJhKpMgmbH2UyxpKXWaljsHrykZjQwxlYq3MsJv58CoaUS4ALgKl1ULkVngNe225CCaswkslkYGyQdmDaGCgrhxGVUFwCXZ2GoNsOQWU1VIw25P32q/Dqq0anF9mmM7iWdqC8BcZss9P/R2NHGaKli/4tMyulw5JQRJ0YTHTzvVj5ZTc27TDYaBOZ4KXlF62ZF6uyXQKVqBeRVLSl7kowYfHp4hsII/0wiz7Xz3ZGEk51dTVnn302Z599NldfffWAcJLW1dUlWOZbtmxJSDbmQzvGYZQNDqjPbMvSyKa37kkoZS6sAzmvEHkLxvLrCXzEGSZ9+Lan2lfgDoFdYnajZVyylu/aQaqjJSTaQvRhIatD2BC/fRhile01mLY5BkO81Rj9eBzGci7BdAwvYobpf8ZY4TMxk4nKgjIrMZr6DqA6kDxGYt661IjpEKZhOo+yEXDOOVA2Gd7+DTz6ujnPVKCywpD6i43wO0xHIJa1aPtgU9mODH7vxxDvpuA6q7EEPxwbTSMOVZmVqWPfJd68PDh2Ct1fT6fTEMgkIYlr16GPmnT1fyRE7wtL1P87JE4061LldqiytcYu0k8qJ6oOoewM/tNskTapP/fccxx//PHxNx6NGzeOLVu25KAK2WHBggXU19ezadMmZs2axR133MGyZcuSHtNJ9lka/xJIDX9paMiorGxi2NMl4HTOkcuwR8F7wT15v6Eh6UgoU8vErUeBs961lvXQukSt0/HF+qH1Rba4+6eKcdf1EXklhiGaIgyZ7cOGBr4b1O1N7Es2XlH7V2AchJAY+SFW6J+w5PgIJvplGIbUJgCPYqzZ+hZ4DOMYLQ7WXVQFx8yHLZuhpAS2vAFrHzXO1inBsg1Yd8DsX42ReWqxWr8k9hoX1GsfdtarhGOCIdddwVKETYolFvVobFRMc3AvGjCdQhOJaXnF0h6uyilX98QNQZQ0DjpxltbJtWWtoduIG4te6nzXHbuWdqSugmTSnPYD9Cmpf+tb32Ljxo2MGDGCefPm0drayrHHHsvu3bsZO3Zs6gJ6CUVFRaxevZrly5dz+PBhTj/9dD772c8mPaYLspYHRgdSw+geSg29EYrY25Z6qvL1PdG5X5KV4SNo+V3g7OcSa1gsum87zj4CeaiSwdXSk8kwQuilwXexrndiCeEdbPTLAWy6WpnSLnrxCIzV3omNLW/FEOGC4HyjsOl/6zFEsgNDWKdhSP6LwPIl8O6r8NZ7UDkafvcbeAKb1nY/VvKQTI+Nwff6YHspZjRxbFCvUgxJlmEs+zrguKBOxZiOS8IwhVhF9z+glkJsvpaRmJDL6ep+CjlLjhWxwuX/kOyN+r8VS1kcoDLpyJ3qryUWHWboc4hCYtvSYZG+iUeu9BMWLplMy+8J0ib1hx9+GIBdu3bx8ssvx5dTTjmFw4cP89577+WwWpnhYx/7WMYZI7N1bmrnWC4dpWFI50/PpB7pdgAuASYrQz9oboSCdlj6CNz97W7Tx3Zi9eWwsty6+yxqkqxLZv276QH05CV5oNux4XUtWF1ZRjASlicx7HXYnDATMOQ2DpsZUWLEdwXl7sLKFc0Qf9n32KDcM4APHwvvv2ks6N89bD7vAMa9Z4jzueC8J2HfkboLQ56zMES9KSj7pKAue4P9NmGzLxZhLPUPgn3nYuSdcRir/wD21XwHsJ2UpAmQ2H2ZqCUTsTQhHw7um/ZRQGKSNSHZUuwMXrm/4nSVGaqi7btpAkS+cWed+gjfhbQXPUFNtw+X1LV0p68pW6Qsp7W1lbKysvjvcePGsWjRIhYtWhRf19TUlKPqDB70dUKvnjgwk3UEyRql77zpdCq5vCcSDeB2Drou6Vjkyaz6Imebq6W7erp+UCHxHrZhSVZGbiXYCBbJ1TICm3e8EjtnohSrS4/A6uwFGEu5HmOBF2DkkDJMB7ET00FMxibDGo0hxdfeNGT6q2C9EKXkUp+CGUX8CRPjfgbGeq8Iru0pDAnPwUxAeic4l1igejZnMcaKbwKeBNYG9Tka0zlMCs7XjPEPbMFIT/uCc0n0yxh1HeOD+gnRN2FGD7uDaxFnqXTy+n9349fdpF7VdM/GKGGPQvjyqTV7H+Fnmokx2Wd6WZOSIyWpn3322Zx77rksX76cmTNnxtcfOHCA3/zmN9x5550sW7YspeQx1JAqoVdvoafDtFSWebJyfce6+xcCk4J7MqmmJh6HHGZ9p2rcmoB9Q1V3XRHdSdu3P3Qn8zCdXEcr6CG6SAkyEUli0Muw8dfjsBEZ1RgyGIMhriIMqWvdVVLRNmDTAHyAlWeOwhBdDOOwlDzmUzGO0nFAcSG832UmFP2JRF16Z3COaRjddgzwSUzedtHuX8ZMTDoaY7lvCOq4D0tYRdiOVu6LjJjkuoZj86y8FJQ7CqPJH4kh61rsize2BYuEUsqkIiH5GkynMAEzgigL9jmAjYbZRWJ6ATdHjNSvhMQXXlRgO1g9atDWvUg0rWrx5ZM5rD4lsieM9KH7yDObyDONlKS+bt067rnnHq699lpee+01KisraW1tpaSkhCVLlrBy5cr4xJ/BhFxqWNmUlY4Mkinhhh0TZvH2ZLsrZwhxgk2l6pJvGEnrJewYbSH7yFvXT0sneLYL9KSVVOFs8kBKeeL8FEtwFFZiGYt9dVwV5qHXhN+Jsbxbgn1Ezx6HIZvNGKIaiyHssRiylxDHc4DJhVBYCG0dxoJ+AdjQZfYTyWJMUNcPBectw0w8egFDos9hYtn3AL/B6v6HguMmBvXYgZUHRFLS8kcHVuYQ6WMklgibMR3DLowzeCxG9pmIGVVMwEg2+7AEvyv4vQPTSYmTdVSw/+Tg+LGYDqIAO2lrX1BvCYHci5VYhOzlv5frkglzI7Avx6jCRvZIrvXKoM5aTpS2op2yQu7yvZXuE6B8E5xygZSkXlJSwuc//3k+//nP09HRQWNjI8OHD6eqKts5mf2LktS7JEVjIDU0NjTE82f7kI6V69svmQYcti3V+lzs627XpHoouCetDQ3x9236rGzRpV3dWhO171xhnZtsd0MbtaWtoww0eetFW1JSd3ngR5L4Grty7MMjEkEbNq9La1DG29iHV4fciTU6DGOFT1LHHYMhreFYR+OZQR0OYcjqqS74oMuU/V5wjsZg37HYtwS1BPXYiwmFfBlr4e7CxoJ/EFyLaPTF2NS/jdhOSnLSyH5yDRKDLvH4cp8k0mU09uUZezFkLaMYiaKpCK59OjYSxrXAZd2r2Bzw1cG11mAzPNZgwx5bsK+w0zNXJWWB7CORPdq4EJlJCF8sfPEHSKiqdGoy+hIJS89/8M1WbXOWnoYCa2SkzRcXFzNhQk9TYQ0cyDAxG0wJpIYjamriZWVCmmHrw7b7iC3ddanKTLZPsm1uneuCe1JbU8NYEolajk3VaYQhbDKQPDA6XMxneev12pGryVtma4ps4obJyXkKsLlHSrFT28swhAOWvKWzOIwlv2IMiU/FyAnDsU7mDgzxlGG13x0YmaQ5qO9BDLHHMNZ1IXYS01isZLMRmxO9MPg+TJ1nN5aEdmIliN1BeYWYTkY0/F0YcpZ5HkXYaB0JuZS0t4XqGiQxl5DfCKyEsSMoa1hQ9/EYgq/E+gnE+pYonYPYyJX9GKL/c3AtI1Q51UF9R2LIHmzn2owh+aagjH3BfRPnr/xvQrbSOWqy1yMXCbWU7xJmqWPh5XhZB93bbZ+T+lCBOHWyQWXwWYGxNHpiGWdKvMn2c7clWxd2fDKko8kLYYhlk+zcWj/sdNZpzTEstldP3PCRthupoyMQ5CHToWhaApJzC3HLObT2KRNkxDLV/3kTlsil7LHB+Y/CSCoTsBbkB9gXX9RgpIn9GKlif1B2Z1DudgwBVWEI7Ejsize6sDlkdpAY/hcfTQX1GYZNCyBWt4RhyjXvU/ekDUvOEvJ4ECsdCWlLh9iJdTDKdk3wcn/EGdka1PkD7IzbccF9qwyWiVgLfi/WXyDx5hLeuBXjJ5COWiQTXZb8logYTfT7MQQv5WuNXu5PDDv56QDdo1x0LLs7u1WMBD1RTRs82SJvST3bzIoye67CKSuVTu3bJ9m+vYlkGl6Y0ybZMfq6tDWtf7tEDYmhYpq45YHTskmqKAMhITdcTMhVHiKpmwyBXStea65idYqTTYhQrLFDwb57MSQl0t4UTPsYh2kjk4Pt9Rj5oAkbzXJ0sO8BjNXZgrEqm7EO004MIekY7v0YAhNt3o3BFsj+RSRquJKuNoaNbCnGkJncuzYSR1wjsJapkF5zUGedLbFE3dcD2I5DJAyRNLT1LFb4DszoQWagjsGGd05R91IkFZFnpL2Anfx1MChPpKIRdH8/6XAs0YtUIpEvzXQneYmN12G8YB3pcs+1H0m3RTe2XUg+F0ib1B944AGWL1+esO6HP/whN9xwQ46q0neQ4WpPEQNaA/34kOeFEMmOSwdhxJntFPpU29Pd5mrXsr0Dk4tnR0MDB+kujWjy7nDWu1ZQsphgV6NPNaEjRuIsR1+ZugyZ7SiWngT0lmIlhmLMg70XS+xFGCt7NIY0qjCWdzHmBRLPY6zfFgyxzcbIL1VYJ+FerOYsUs4ojGVfFJxnK9bxJ/dYR/9IhkxdLyEaidiRuG+ZrQk2wVgJ1vlZgo160ZEkssioTEL+hPBkvZC7/Leyzz7sC6DLsRZ0G93jxluwueZHBvdLyFjkGukUtFYuDm6BtAPJJVOg6lkeLBXBp4w8JM1BF4lpCYTotSUvnaUPugOQzJxu4IDc+2yRNqn/53/+J4888gj/8R//QVNTE1dccUWfh/PlEh2pd0mKykA/rqipic8IFGRCrOluS0Wq7j49OUey/ZLVqws44phjuOiGGyAW4yBmiKyJWghaW9lhFrdASxphYYg6CsEdHehytLXkzv4T4pHv+lwSvRDDvihZRmnDMYTSiSHzKqz8UIkho2cx0SnNGEIZB5wBfDjYrx4TOrgFQ+p7sEbHxOA8zRgiFz1Zz6AES75ybZ1B3SR23o34gO7/YRGJIxaxOKVz0/dFnNxCitqZKPWTmG5Zr2UHKVucl2UkErxY5ULUQtJi7e8hMVWAWNrSMbRjHZ9aI9ftTH63BfXch50JrB2jch4tLZVjLHqJeJHZruIIF5LXHaZAj2ZdR/5hrPafDdIm9aeeeorvfe97zJs3j1gsxsqVK7n00ktzUIW+RwfWCuopWoLP5qCsTMg1U+JOtl+q43pi3fv2CauDfF748Y8zeuxY3n7zTX720EM00n26dVi5biiiGxUj36VTkPX6eNdid4e3YcNdXX4nifm1W4J1ZcE+o7DaeBVWW5dZozLpqAE7e1IiRKYD5wLHlsOuFvgjhszrsbLHaIysUBgcJ9u0Ndiu6iskLmRcGnzKQ63nChSo/WJYOQb1qTtIcX52qHLl3kknoP8j8S+UYYlUL9qhKJ2DnEeIcD+WRIVQR9Cd4FvV/sOcfXWY6XAS34sq/21ncJy0SelkOp2y9QQmcfKWqd/iCBUrX3cUOpZdfBtyDu2kl/uXS+k1bVJvbm5m48aNTJ48me3bt7N9+/YcVqNv0YGxfLLBO4H88m5DA/VqfU+t8rB9wvYL2zed4zIpI1lZ+tjG5mZisRh33H477zc2eq1lSC9cUchbyydC2jJM9RG3fNfEXuQcq+uuY4blAexU55Bh/nCM9ajlHXlIG7EkL47PMmzc+bmYNw+VFMNzHfCTFhOH3oxNBTANK5XsxEoIEscuZCHnlu+aIMQCFqlDOiyZNakdnmKJ+4hd7nVMlSekp0c18h/o+ypyjPggNKnLfdbRRfIfCbnLPqK9C8GLri7honp6v0g0EsUj+4sPREYxFRjSl3NIWGkXVmaDRGKW3DHiXBaSl/sgPhUheH1fJNmY3Ds5pyxu+gEtbWWLtEl9/vz5XHPNNdx99900NTVx3XXXcdZZZ/HUU0/loBp9CwnnygY6d/ieYF0mWriLdMk1DOnq9b2FscH9KCsvj1vTPsIWxDzrhSDcSIIwy9sleZ+lD/Yh1VPB9YMF1uISCaCCxIdUHmyRAiQOvSoovxkz9JdwvGOBowphexfcA6zvMDp5KUajnYoNB5SwPC2vaIeftuq0dSn31g3tlE+pu8glco9ELpQOQb7rT03u0mHoSCAdySFlS12Lsf+jWLhCjhKrLda7JkPtXxELV5yvehHdewxWZhGt+yCWzMVaFwlJd/QlWLLVerfcq+HYzkac6ZrkUfdWOo5h6rtOoSCdnMyEbVeLjlEP0+MzRdqk/rOf/Yzjjz8egKqqKu69917uu+++HFWjbyFe8WzQpj5TlZUtYfcWMrEKfMSsj3c7FbfsZM5NVzLRpF2sFk36rkSj6yFWn+/BEYehOES1Y0xbjhL9IVYvWDmmCEPcw7Dx4QRlTQ3Kewf41y4z4WcfhsCPwZB+CTYKphEj0/iIXOCT7fRIR49qZH8hdzcKSO69zH70yTFShqzTiw7vlM8SVYaGHiUJgUuHKha3tt5156wJXvZ1JZBijCRWSWLOFq2/l5LYIUgnIqMYcSLrSWjSoUk7FEd5p9pXW/yt6jrlGD0hScer6/YuoZ965vJ+skfapC6ErnHZZZfloAr9g2x7xe2B/LI9x6+zyyVSxb3qhzgZwaci9AJgZ3A/djU0eElEW0k+61uv90Wz+OqoyUseDiEMnXtD6liKfcmxWJlCii2qHNFRZdagdNwSjjYKMzV9JOaBHoYJsyvBSCsvYF4K3RSc7wQM+csIcSc2CiYZkScbfQnx6GOFoLX/Qix2ITK5ZukctRPVR+y6bOnQ5Ls4ZTvoPnqS4+S7EKgmdulkhSRLSayrlK/JXWLkta4tUo1o6OKwPKjO1eTsp53i0g41sctoAhLbbxm2PWrJSDplkZsO0F2u0U5lPcosVvv1KalHSER/JfTyIZ1JC2GknYqw3X18mngBUBvcj8k1NfFp5C5hJyNvNxzRhY6i0TKAa4XrGGE3PFEIrQvz4DeROOyWcLkxwb6HMQ9ZC8YKn4zRvzsxztAYZvJPMYbMX8fkEG/BkLlo5U0Ykt+FzT+ipQ9tEWcio8m+Wmd3ndmuHCP3RcIzRY7Ruj34rXZI7Dj0/yAErP9j3SmIdi3/dSmJMfVCxm50kq6PhMJK5601c22FyyQn7Ss5iJVOpF1I2KI4wsUnIHVwp/O79SvBRu1I3cSoEJKXc4txo6Os3BmnImFli4jUBwByScrpELJen2ydS9z6u/4swjqaJK7XlU+0ZRKmfUMiuWkSlwdMk/dhtb+ULQ+5LFKmTF+X/bX8MhorwRRjiLwx+ByNeXnzEcG6V7EvcijFRLm8gyHzg9jJMZ0YEv8AY5VLWKRAE3C2/hBttYtVLdetz+HKMTrmXEdnuHKMjuvXDlrdwYpDtUN9l/9ddxAFar38RzrRlZ6er0dyOnw1puoq5K41eq1rl5I42mrBSjXN2FGZnhGr26x0Vjpvi0iv2sqXDkVmVcu90NFUOv+Pz/GaKzLOW1JPh0iTQecOT0Wsyc7bUxIOs56TRZek2q/As90lcVmnh/CF2GReh4NkXq784rtW1/oWotBJj/SiZ0Lqh0IeLH1PJHZYCEUeciFysbCGYeOJd2MfvtHA6Rir/S3gYYwVfwzGCm/C5hhvxnYOzRirfRdWXnGvGXLv2HblGLDatFjprgNVLFPtRHXvsVtnWS+WqZC2L1LGjUaSOsn/JP9ZGLmLM9q13KU9Sr061bGu41KOFYepJnhZJJJGhy+KRKelF62pa38N+Alek7w2SkR6ku/a8TqW7JGXpC76ajaYHMgNdTU1cUdKpoScyiKWbWHffeSb7Huy/X3lu3Vz99N1OP288ygoKGBCTQ3DnesXMpHp6NrC01a4j8A1wQj5yMNaoMrXM0a1I2q4swiJxTC65261fxlmBugxwe+XMFkWR2Nmf9ZhiGMT8AY2LLEyKOtdjFUuoZEamUorPUEmcowmSZGlRIrRcgyqHB1pI+s71XrR3IUAxensym2oY6Rz0fqyltQ61KfuxHVbdSW5duyMX5/MIWTrEryezaoJXpYCbARLKYkEL+eWa9POX5F0pA12YWUk0eN1JFa2yEtSL8Q8qAJfdEoyaxus3DAM4zhLx/JNRtSZ7CvfXVIOI2qc7/rako0U0t3n3Kuv5pQLL6Rpzx7WP/BAAoHrZFvyXRO31i1dEgdLEvo+SYii1EU7sWSR4bQ8XGDzoxwMzjkcG4s+CpuudT0m/8o4zGvcpgXHvox9jZuEPu7HhiNK7LOgt6zyVEhHjpHf6cgx2jIWMoZwcnc7bjcU1dfmdaSMlmZ0uJ8mTz3a0O3RlezaSCRz7SAX0hULXjR+ySHTjM3lI7KOnr0roxS3LWvppTDk/EL2cu52dWy2yEtSL8bk0sgGbYHc0NbQEE/o1RNL2kfMvvWpRgEuUnVKgrBwy1STjfSDLevX/OAHvLV5c0KYlh6y+gi8k0RycPV2LSnoSUh6Aoi2plynUztmer9EQhRipJLxGO1fnGoxzNuCXsUMgRdhYs0PAX/AkPkh7KzFpqBcCUd0ia6/5w34iF23FR2qKT4G7fOQJUyOEfLW/4/bgUikTInnU5M46rv+j3VUiI/cXUe7vnZpW1KWS+7aIVqI1dMlm6TIItK5tWEJXkfdaKJ2Rwu6/R/G+hNK1LHSOUn73U/2yFtSn5hyr+SQfOpTamoSOoh0ydjdP1OkS7ph65Otc3/r9W64XAcwPLgXrRg5IxmB+0hcf5d7JNaejpbQJC7RDprEtQwgVpZMeCnHkPgobDIo0TR3YOSU4cCFmNS4TZi3AW0MyqsMjmnGWOZN+CeM9DeZa6QKe9RSjI6OATszVIcdunKMnAPnPPJb/gtNstqJWoyVYMIkwkKsZS7SjLQtsZJ9UVQ4dfRFTLmRJ1oXl5BWHaEjWnir2lcTvB5hlNDdetdht66vQEg+F8hLUi/EJmXqKUrV54gU+/aEgFMRbbLf7jqXiPVxXSH7yW/3u7bSZJgrjp5mTISIjqLwDSf1g+uDNHZ3soms81lnYg1JVENHcI5R2HeDSpx6K/YlD7uD9UswE4d2Ab/EkDnBsYUYEt9NYkiiYCARuYtkOrv+b4UIhGC1zi7/l/aJhFntbrlaO3cdqjq+XRzf7ghXfuuIGSHkNlWOa7lrg0E7VOU8rkavy5d6CNEOx7YvnfJAYtK10aEJXr77rHfXgpc6iGM1G+Qlqcewmmymxwk61echZ7uPaFORqY9I09nH3Z8kx4TVLexYd72uT6f6LYms2jDkp+9TKo3fjRpwkyfpB04/qDESXwIsMwmLsFn0KrESgDiqdmBHACMx7/sch3nR8k8wkStFGKsejMQiZC4x8Pr+DBYkk2N0Zy33GhJ19nasHCPHgO0k9ChOlyvbZdH/hxCeOFNlf91Z65GblmUkdFJP9RfClDJ0/QVac3elGXdxRwBiwOnIFTd3kC8WXZzR4jjWurt0lDLRKSL1HqID83Bng/cDTf39hoZ4WWGWrfwOI/l0rex0fqdal2x9psfIunYgFouxTc2uDZOadKPXk0aEzMVacS1xOZ84oCTe93BQn2EYIi/HkkUTdrZnO+Y/L8PEnB8d7Pc28AgmnrwYo7V3YGZ97sWmBvDdk8GGTOUYIUU9t0A7UF0nKqoc10rW5xJS9+nsQu5aRnEDBTRpi6Xt1kvOoZ2vuoPQRplY7prIS9QxxaosWV9G9xQUehKVlmh0BI44aOXc2ueUCycp5DGpb8uyjLJAR55x6qlsX70aSG6hh20njXXu8WHbffsk2zfdY32QB2TGMcfwdzfeSCwWS9gmD6B+8PTkEB1N4ItnlvpoHVTPDNTWt8Sbg32pQhkmBLECQ+admCiWaZh78RYm9e3OoC6jMQ/XdoxmrsMSBzORu3AJ1w17lH1cOUaPlLTFrn0fejTns9r1+XVH4tPbXYlNyFzO5RK8q7dLmZAozbjRMrpOej9N8h0k1kfK0IaJS/BabnEJXkcBSbuPkTgSzAZ5SeqdEM+s2FOsf/FF/ratjU9ceik/+Z//4fG1axO2Z0PAYfsnQyaE7CKdSBn3QRBCWLZ8OWPGjOHhhx7i7tWrExxGepaddii5nn9fvLE8JDontUgAkmJVYs7F+VSEIfEajHzSiHnj0BHA8UG5m4KlgcRc3dsxMksr1qIcqkils/vkGFdrb6O7HKOtdj3SdKNuxGrvcpYwR6obbKA7kQJVniZjTe4xEnV3LfHokYsbMSPtWFvrbpSQ3qZj1904ex3m6BK8lndygQFP6u+99x7HHHMMM2fOBGDYsGH84Q9/AKCpqYnLL7+cN998k6qqKu655574fskQw77Oq6f487vvsmvnTsbX1MQdKJmit4kj3cga7fhKVoYv3HJPIEM99dhjjCQ817RrjbtErice6RcMSNRFMXbykBx7EDucHYeRX6oxYWF/xjg5Fwd1eAV4EyOpiFTTjHnjkFjm7khqqCOZzi7wyTFCQFpvF/IMc6JCd6s9lSSjQym1sxVVnhsyLITdrj6lLCF3bZW7mrtuA1rGca11/VufW8+N6KR7tlAd3ttKYvx+IXb+SzYY8KQOUFdXx4YNG7qtv/XWW5k7dy4PP/wwjz32GNdddx3r1q1Lq8xs9atNmzfzwJo1XH/99Zw4fz6/ciz1/kAqEk8VUumLf3fDDl2dsi6QoY6sqWE8/ina7sMjziJ36rTIKxKuJsNqSYsL1sEtOT2qsS8kPoSxzIuBj2IyKf4RM2lIJhuNxcz6fAc7+zPfyFwjHZ0dtd2nsxdgrdFCp6x0rXZXknGjZWRfrW9D9/h2IW7pILTVLgaCELaUqePlpY1q6UZr+FrL11Z/oVpcS79DLTr5XCd27oQckzekHoY1a9bw6KOPAnDeeefx13/91+zevZuxY8f2yfkbGxt7/RzJiNolaXdfn2Ud9tv9rj/dxqsjBCQ0dCQ2V7jPGpeII609CpFLmFinKl86BbAWkxB5BYbIK7GW4rZg+1zMNP+XgZ8F22XfPRgy30/3F1HnM9KRY3Qsu09fFklGG0u6LNfxH2a1aylGSFk7UmXUpg0MKc+1uEX/l7q6TkntMNWdgn4+dAeQTJrR67Xer8MVuzDtWuRCnQJBrPpcYFCQ+rZt2zjxxBMpKSnhi1/8IpdffjkA9fX11NXVxferra2lvr6+G6mvWrWKVatW5bxeOqlXKvSUnMOsZ/d3su/J1mnnl2tpuFaHJnZ5yGbOmUOsq4uDDQ2Uq7rpB0gTufuKs04SG79YTBLpMgyb11zyrEjc8P5gv0pM1sRpGF38RxhppTYouxFD+vtJJJ58J3MXqeQYl+BdnV0sdpE3XP3bR+66bIJjdKIwHQapiV0+XX0cEolVjtWfOqRQdySuhONevw7n1RKMr6OTOujnSjt2xYIXMpfnJBcYEKR+7rnnsm1b93iUpUuX8vWvf50tW7Ywbtw4tm7dyjnnnMNRRx3FKaecknb5K1asYMWKFfHfBQUFaevNyaBzqhc521JZze66dL8n+3SJOdV2MijDtcqKgAtvuIEzLrmErW++yR8feqibNS6TK8TnIM5OnfjIjUjoInG69khsWtzSoJwPgmPGY2aHVgfbf4uJahkbLLswkS97SHyAIzIPR0/lGE2kYnEKscv+rtWe7LyQKMlIHbSsIiTqhkBC+HOjCduXc0jq4pK8vmZdX627+xypun37CF7a+5ALaXz88ceTbh83bhxgtPWlS5fy3HPPccopp1BbW8vWrVuZOnUqYCz3yZMnpzxfAfYVVdlAvNUS3ZGKjKE7WWZLzMm2+86v65auPKPXCWLAsPJyAH7/4INsb2z0WuSa4HW0gnuPZOaeWOWayAsxHUIDpvHXYqSeAqxjdH1wjskYa/1tDJmLzBJZ5+kj3bBHLcdIm9O5YzRhFnrKcv8LnwwkZCvWvkvkYvVqq90ld5FsRJJJZrW75K4lGVfegURS16PasDBI7ezVz6nUKZsoNsGAIPVk2LlzJ2PGjKG4uJj9+/fz+OOPc+uttwKwbNkyVq9ezbe+9S0ee+wxpk2bRnV1dYoSzQ0clYO6NQXyS1NDQ3w6eRjx+oZjmZC2Jlq3kyDJbw1X5tFIFoIp1pX+7MS+0u8v777LLhLzYfvSt7odimjn5VirXIhc8mC0Yl/9VoORWeStMmOB94Ct2FSrb5AYZ6510wjpI92wR9lXk5f+j9vVMcnkGPfcYaMFfW45p0v22okLic+EyDsFatFyip685HY+RU45Au10da12rbMXq+2FdO8s3OienmLAk/r69ev5x3/8R4qKiujs7OSv/uqvOOeccwD4h3/4By6//HKmT59ORUUF99xzT1plFkM8s2I2mBbIL0fX1DCJRFLWFkMyssbzHRJJORkZ++AOE2Vdl/Nbtrvf3bAuTeQ6jvyIBQsoKCigtKaGRhItch3apq+lCDvdWhO5filBF4bE92FmhVYBJwbrt2DiziswIYqiq7+LkVskeiYZaURIH8l0drdtgW3bWmcXcs9UjpHyfJazT5bRJC8k6pK7a7VrOUYTuxumqeusrXcpV+qiOwkpW3c4LpnLem24ZYsBT+rLli1j2bJl3m1VVVU88sgjGZdZTPapd8Em8ipX5eWCnMNIOey3S9ZuQ4w5+6XaJmFh+sERUpdGf/zJJ3PB5ZfT2dHB62+/nZDzRV+zSCsSsy5ELm8ekslK8jA0Y6fnj8C8nGI0xgIvx5D7Hkw6XILv9cH+bZ77ESF7JLOcZbtrzerRqRChT44RQgX/f+aTgnR7dC11nWbAJXepl9bgtZO0UJWvdXd3lKDr5UpT8ozreHgty0jHIRE8rnSTCwx4Uu8NFODPrOhziCSDSAQ6u1qYV1+To/wOI2Ofde0SbzJCdq3yZPuQohxtpetr+PBZZ1FeXs7P7r+f/7n/fqC73CQx5uVYy1xeK6bTvLZjyHwfRkIZjnmh82QMYb8FnIyRW17EEHlXsG0fNqIlIvPeQzKdXUsiOjLGdRr65BhdfiZWu+/8OgzStdyL6E7A2pHZoX7rEanW3VOROySWr+suz44Or9T3x43gyQZ5SeoxbGbFbLAr0JR3NjTQTPrEmy4hh20nZB8y+E4G2/RvwQfBta976ikgkcglVa5o5SOwM0ylIXdi/oMmbKjhcIwDtCY4xwaMTPYJjHb+AqbR78NM6xfdPCLzvoFPZ3fD/sAvx4BfjonR3Yka9l+mkmRkvVji2pGqCVXLnVJesTpW6+16FKkXH7m716vrKXClGSFg6VhykVM9L0k9F1kaAUoDTX1YTQ076O7I6YkFjbMOz3eS/Nbrkq13t2WCQmB+oKdPqqmJpwYQbVxHr8gMU3mIZHp0M3YSUBnGcV0RfMr6U4Ljf4sh8i4Mme8l0QkbEXrfwtXZtbatF0iUY1DftRyjCT2VE1WfH3WsdC5uHWQpUt+11OJGhUk9CpzvLqmHkbuun4/c9agAul9HROo9RAeGHLJFU/C5PygvlbQCPSdnd1vYPi7SJe4wvd/1CRQAHzn5ZC4L9PRtb7/NWKxGrkMRpXHFsMm5DmDuWyuGsKuC/SoxncE+TPz5NExY4qbgvE2Ye5wPCbcGA3w6u25rrrTnxrPLMXr6frpOVNT6dCQZXzSKjtTxRZgJNNm70ozU2+dQlTr6yF1HCMWwM0uLMM9PtshLUu8k+yyNYHOqb2loiEdhQLil7G7TyMRqTpfQ0tXnXEJ3o3LkU4ayJ8yZw4gRI/jp//2//OH++5mAjTHX+qDMljuIscybsK/yqsQ+XDVYB9K84Ningv0LMSGL+7BRLREGBpLp7Hq9rNMRINp5CYmWb7pyjK8Oep0rybiLS+xu6KN2pIq17u7fqT7lnJrc9TbdeUiddZvONMotDHlJ6jF6llXRxehAfhldUxNaXn+QUBiZJyNv+a0JXOt+8uaWYcDU4Lqbt25lPDauXBq1zuvSFCySNrccm/9iNEYzb8FIL0dhU+OWYTqDbdjXx0WEPvCQSmfXUowQqUDr2x3qWG21a6JMx2qX84TVI5nl7lrRqN8SseLT3F1JRtdZjyL0NaP2L8JmM80F8pLUIfcE0VeEkw5hh4VVFnq+69Azt5FLIiKJ7hFSnzd/PgCjRoyIJ/QSq1wyLTZh3+cpjVZm8ZZgkm4VB/sejSH9R7HpSN/D6ugRmQ98+OQYVyZzNW4hRolp17lP5H/P1GonST20D8C3yDPgI/diVaYb3y7HtZNI8kLuqH0gMQpOp6rOFfKW1HMBSeiVzizWVPCRdbqWtf6ejLRdK1wPgzWRi3WuiV0+T7/kEj7yiU/QvGcP6+6+O/6exkMYEm/GxozL8fJ2mDJMmOI4jLOzDKOdb8K8I3R4cHwD3TP+RRj4SCbHhMkferalGxkTJsfIuZLVA8KjZJLp7dqp6pK7T5LRMozPahfIfdFx+kLmxdg8SZGm3s+or6/n8OHDXHfddTz++OOsdXKq95So5XeYtu3TuvV3TeauJe7+lgfKZ63rfQUTp02jsLCQJ++5h02bN8fJvAVjdYtnXzoH0drHYF4v147xZ0zENOKng3WFmNmi+4m088GMMGLXFrP73+q2C9nLMboucowvSkasct8ibT+M3AXaXyAkri1+XQ+ZHFeEJfQCrFSZKyMmb0k9XSdiMjy5di0/++lP+eznPseH5s/nybVru0WL6HNlQtSuha098HqbtnJcck9G/mF10fUFq0OKt78iSHXciolGacG+oUg7U0sxztBRmNm2IzHWeWnw+11sDvSDGOtc52uJMHiRikz1fkJyruEhxwt6Isfo84RFyUidfJp7GLlDIrH7ynM7Hxm5yqhX3owkr2qUSVO5QF6SegGJbxjxNYx0Sf+P69fzmc9+lr0NDfFZqr1lURc6ZWjCd8+nr8Gnt7vXLhaKNEQ3dKsNKK+uZt4559DR0cHTzz9PA9a6kAdByHwsxhE6Nji2AZNRsR0zK7Qd07h3kDgrNMLQQTphj/q3buuis7tyjC4nXTlGb08lybiau5B7kdqmrXDfyFu2SychTlb9TlLJZCqELq8HzAXyktSLMISTCxyhXuc2lkSLOl3ydvdzrXRIJG3o3phcuPHuvhh6+ZQ8Ly6Ruy/R/erNN1N31FE88dhj3BukBtBkLq+XG4Ox0MswZF6I0dG3ADsxHaqk0tUJuCIMPaQT9ijb9EQl/UzIOimvp3KMHC/HpSPJ+PLLiDTkkqcEFWjjpBMTJKA5QN4xIGVL1Etevfko1yjGOOxygYrgcyQmz7crl6SSWcA/3PTpdoJUJO2Stba+3QbrW3SmOv1W9rETTNqyVzduBLqT+VjsJKJmTATLmKCMl7BRNA3YPC+R3DL04SN2X7ihT47RznywhBkmx0h56dYplSQj++hnRuojYbpgJRV55kqw78XVncJBjOQiHZh0Avpdudkib0k9F1kaofs7OiF9axoSG2IygnalEbGs9W/9XVvfyUjdLcddJw/IuYsXs+Sii4jFYrz/7rvxdAAisVRhk5q9H3xWYXTzZkzjPohJjyuhjlG4Yv7AZyHr9gl+OcY1kIRIXTlG9s+l1S6jB62167cUFap1IqmAtfYlskUs+4MYC30YtsOQ95Xq+P1skZekXoAloGzRHIQ1HmhoiP8x0jB1PGoygtb6WzLidvfzkbpLyGGfJFmnISOKmcceS2lpKQ/efz8Pr17NZIwVXoVpvIWY2PS9mLCsDsxLniWcsRFjnYtTNSL0/EQqC1ngyjF4fkt5ubDa5ZxSviZ30fhjWALWTk8wo04dISMvTm/HzsfowBg3+jkVyz9GekZgOshLUo9hbnKm8A2Phgea+vCaGppIJFRNsD4L2UfermySDkHrT7k+kvzW61z4ImKKgdNOOw2Agzt2MAVD5jK0PAzxl2QMxxB7KyaUsRVjnR/AELpMMIkIPX8RprO7YY+uHAOJUV/6vZ5uJyGfbsRNOvVyy5KJRWKtSz1k5CCTjqSuQvTS1g8G5QzHWvhSdyF0LUdli7wk9Q7My4tzgZbg80BQZpjk0ROSxvMdz2+9Ds+2MPiiYmRIKcPKYcDHFy9m0fnnA3Dw/ffjuVo6Me8DbcRGKzQGx4zAWO77MHKL6Oe+ukbIP6TS2X3QcoxeJ586x4qWTnpitWu9X943KmXK91YsuXdhRqh6Zqnso0MYZXuXWqelmFwgb0ldUu+m+qNT9Z5/kfd0NjTQgN9qTmZJ6/OHNb5UBO27hmT19kXUiEUuDbAM+2KLhfPnU1xSwouPPcZvfvhDwEwSasRYISOwGvlIzP3dE+yj9fMIETQy0dldOcaNF9cGQ5da3xOr3e1sBPJdYs4lEqYY8wyIrFiCjeoaERzXhnWeSghjO4nlR7lfskAnucnSCDAykF8qa2rYr9aHWdFh5JYL69VH5GEEricKSQytkLnMApW3FH3o7LMB2FNfTxPm3u0Jji/DWCPlwfHNWELX+nkurzPC0EK6OrvsqyNjhESF6JPJMXp9Ju1Qk7y21MXaLsRIkKXBOnk2xNgh2CZJ/0pIfPl1F91DIbNBXpJ6jNzFhMqQqXTEiD7Ti92G7pts5Jv0JM4dPetTFkm4JdniZJr/WVdfzezTTqOrs5On163jLax2LmWNwlrn+7ApdrWjOEKEZEhXZ9eatt5Pa+2QGMEi+2hnqmu1pxrZSlsX7hDnKeq7hCuKr+kg9rWNzdjOp43EuHsh9MhRmiVyRbxvv/02XV1dXHDBBfzgBz+gsbExJ+VmStzupCa96NS5+rsQu16v44FbgZJgJPLYAw9w5/33x/O5yAsuyjD+hL3BInKLlpsiREgHyXT2MDlGjpF2L9CJs9KRY1wtHazxI+Xq3C1F2MylbRhjBqwzVLT0w9jwRpn7IRa91FmuMXKUDhBs2LCBxsZGZs+ezdKlS1m9enXaxyYjbp9soi3uMAIvUfsJcct3mfFW5JQhjVwaXSs26+JHLr4YgObDhynENM7RGEKXoWYjVm6JJhNFyAZhOns6cgzYtq/lGNdq1+W40qgOn9QGjlj6YtQIMe/FOlJlQpK8E/Uw1lgSp6rEs0s9JYbdrUs2iEg9S2zevJn77ruP66+/npqamvj6MMLW27SVDd1TCrikXUx3YtYk7qbRLVLb3FmsOjqnE5uLohWbcfFLK1cy87jjaGlp4Uff/jYVmAlWI4PtjZjolyasFRMhQi4QprNr3VzLMQUh3wW6U3Ctc4E2nnRUi5xPvxPgEDaiy42jl4g40c47SJy0pDV1+e5G9WSDvCX1XM7geuP114nFYuxqaEh4OzgkTxHgWt6anF39u8hZ78vMqM8r59bDVp0YSab/Sx4KIXRxbnYCo8eOBeCX997Lgc2bqQvOtxeTw2U31jp3IwXCkEnccIT8Rjo6u2zTkTFaV3efczcpmCu76GiaDrVNZEoZzR7Ghi5K1IrO51JAYpSMyDFFznr5LpJSLpCXpJ7LGaWFQF2gO9fV1FBOd2tbE3eh+i3SiEvirhXuWu2aPN3YdneWqVgK7ep7m2dpV8cUALOOOYbll18OQPGhQ0zAZlvciZFbWkl88Hz3JtLVI2SDdHT2As/+8oyJNZ9qop42kHQeJK2dS46WQ8ExZdi4cx1jruPl5bkqdr53Od+FB3KBAUPqhw4d4hOf+AQvvPACCxYs4Ne//nV8W1NTE5dffjlvvvkmVVVV3HPPPcycOROAn/70p3zta1+js7OTSy+9lJUrV6Y8VzE2T0suIGl8y4Hx2AalCTtMA9dErTsBVy4RuLKJL/lW2Do3QZeerq8fhGHAP91yC+Xl5bz/5pv8vxtvpAlD5pK7xRd+FVnrEXoDPmL36ezu7FOc73r2tiza6HCdqfLsij4u6aHlOe7ylKMt/U61n8Spy3ftfNXfc4EBQ+rFxcV89atfpaWlhR8GE1wEt956K3PnzuXhhx/mscce47rrrmPdunXs37+fL3/5y/zhD39g3LhxnHbaafz2t7/l9NNPT34ucpelEaAtmIDU1tDAZBIJMhVZ+0hQGohuMLohCjG3YS1vma7c4ezrLr6oFHkQyjBZJ8cARwQvw/j9gw/yAYbM92Gtc42eWOsRsUfIBK4DFfw6u26HMstUj2BlvSThkmdTk71s1y+yEP1cAg7APoda23eNJNHcxYkqfODq6/I9FxgwpF5SUsKZZ57J008/3W3bmjVrePTRRwE477zz+Ou//mt2797Nr3/9a8444wwmTpwIwBVXXMGaNWtSknoRubXUpyj5ZTTJCRsSh37SKMLIWxZtefusbh9xuykHNPSoQTIuVgXL36xcyZxTTqGjvZ3fPPMM9dhQxVTwWesRsUfIFdLR2YXMtQGlX1DhWu9akuxUx2v/UiGJFrWrzetORUfboD61di4Gn6uv5wIDhtSTob6+nrrAcgSora2lvr6+2/opU6Z0e0+oD/In5wIyoUHK1UNBIWyf3q0tCJeYO5z1yaxvH3n7CFTXUZw7ZRjJqBJD6sOD/U4891wA/vTss/x07dq03p/oe9h853frFhF7hEzhjgx9GrmWNsXqBtOOD2KJWcspMqEOjNzSgg1XHIYlYUm4B4nWv0yQ0sQu2+Tc0snoDkjKyVXwRp+S+rnnnsu2bdu6rV+6dCnf/OY3My4vFkuPDlatWsWqVavivw9jJszkCtLDHsY4EDVh+94qlMmiNXRfTplU0JE2MtloGIbMR2KmMkua0DZgyQ03MOPEE4nFYtx97720kD7ppiJ2qU9E7BFyBVcT19EnWhNvxo5uxagbgbXgJSghRqIzVOQe+S3rtPNV1mlih+5Er+urHb6CQRmn/vjjj/fouNraWrZu3crUqVMBY7lPnjyZuro6Xnnllfh+W7Zsoba2ttvxK1asYMWKFfHfZQUF8YReucB7gabePmIE20m0yLuc78nIOkw2cUkwTE4RuERejE0BUI6xSIZjo29kiv9e4KgPfxiAdU89xW2rV2fc0CJij9AX0O1Mx7TrwINOrGUNpv2PwhgzklzrEMYidy33UowUCcZYO4RND6B9Y/KcukQOie3Ztdq1w1dngcwFchXv3qtYtmxZfKbmY489xrRp06iurmbx4sWsW7eO7du309HRwV133cWyZctSlteBeSNPJssHSZb6Awfo6urisi9+kdqTT46H/e3CTNBpxOZF2Y8ZJTRhrAfJFyHOGHF6askl5ixgLQN3mCnJuKowDs9qzFueJgbLOIzcIo16D7AV8/7QI08+mfOWLgXgnb/8Jd54w5ygYXBn6fnga3iZnidCfkM/D2CfA4kwkTcNFWOehRrMc9GJeTa3YeZaSKIt95mSETbYpHdgn0voHqGWyjBxnw03KCIniA0gzJ07N1ZdXR0bNmxYbPLkybF77rknFovFYvv27Yudf/75sWnTpsVOOOGE2GuvvRY/5r777otNmzYtNnXq1NhNN92U1nmAWGmOl/vvuy/W1dUV+8ebb44VQ6wYYkVqKXAWMlzkuKKg7FKIDYfYSIhVQWwsxCZAbArEpkFsFsROgNiHIfZRiJ0RLB8N1s2B2JHBcSOC8h575JFYV1dX7J23344ND9bJdWRTZ6m3b3HvS0/vT7Tk71KAfSZ0ey3GPBuTMW19cvB7OMRGQewIzHNyLMRqg23DVBnFwW95xiqC30XOuXP5fMycOTNrHh1QjlItpWhUVVXxyCOPeLddeumlXHrppRmfqz31LhnhyaeeYvmnPsUHDQ05S3avo2hEJ9TJt2SWm/5eRKJGCMYaaMVYLQexaQBasbHq1dXVLDjpJACeePjh+IxVsSDcGXjpIEZ6Uoxsd689k3NFyE+IDAKJYYulGKlxWLC+CZsedxxGhinC5jhqw4xwJS+6PC8yUtbzTPSkohiJUTiQfrt1n49cYUCRel8i14RRE4Q16vwvmcANg9SNSOc8l7cKiUdfnEG+WaYi5wiZSxoAkXjkHhQAt99+O9XV1exubOT7K1fG9T5BTJUNPW+4YXpfpLNHyBQuoRP8lhwtRdh2H8PMwRgdbD8UbOsMfo/Bxo8fUmX5omTEuBLd3p3in0m71c9grtp63pJ6f8Ln1HSTCWkHp4QfygssxMmpJ03IZCSZ+SYJug6pddq6EBQDE6urOeWjHwXgD+vXsztIHyz1ge6NLxOrXR8bEXuEbOEaQNJm9DsCZHQqMzkrsG/lEqu9GBvKS7BOkmvp9wVoI0iHJeoQxGzbrTZ+skVE6jlCQxAB09DQAHT/g8ISfAmJi2QiFrlL5voFFhKmJSTegrU8xDkkCYfE0hAiFugQx29/97uMGTuWPbt3c/0113STpsRpJPXPVo6JiD1CT6Gtcx0eKM+N5GiRGaAysa4EI7M0q/UyY3Q/VmIR2VFIe5j6rYMX9POrZUq3rpk+H7lA3pJ6rgL9BRMD+WVSTU38bScugbvRKu6r5PRSRneJRRpJB4bIm9UiUTSuRe4SpPsA1FRXc96FFwLw7DPP8EFjY5x05Zyousu1SMPuidUuxC71ceHT2XX4WoT8RBihy3NSgB2lFmCt8BiGuFuw8kwhVn4Ba1RJ5kX9vMor63xGkiTok7poXV/qDH3bbvOS1AsxunQuIVkfSzEhgy6Bu0QuVrImWHcqs27A0ljFMm/ChEaKZqi1P0hsRNqq0OcrAP7zJz+hoqqKpv37ueaaa+ITqdy4X0jsWGSfnljtkc4eIVP4CF0/MzGsY7MYK1FKaKNMxy8N9m2h+wxPiReX50SeQTGEpA7yrImWrold0J/tNi9JPde5XwBaAvlFMjW6RF6IjUhx86NrywCsdidauEx+EI3cjV7R6QI0XDKXDkUaYFV1NcfPnw/AL37xCxoaG+NliMQj0Dk2hOxdKyQTJ2pE7BHSgU8/16NNPckohp2rUYB9VrS0olNyuInAupxFnlXdoci+2ojSo4ZUcgz0ftvNS1IvBiblsLwC7Oyzz994Iy8/8ADbNm9OyNKopQu3keiZpjLEEzIXItcOT+24SUXmboijbnA/eeQRRo0ezb69e/nSl7+cUI6ewhxTZbnE7j4YmcgxkQM1QjL4rHM92hVJRKb+69fMyfOC2lcbQLpMSEwI5i4yEtAhjWBnqkr791ntPgm0t9tu3pJ6ri31P6xezR/PO48PL13K4uXLeSDI6+6SN3RP2iUNU0evtNKdxN1G6Uoscj53COk2xHbgY4sXMy+w0h9/4gnvC7NlxKAtcXGaygOnrXY3pt2tYxjSdaBKHQSRzj504RK6O+IUSVJyvciLLGTqfxvWogd/5JeG215dq10sdjekUTtQfXKMO4rV19db7TYvSR2yv3DfH/Luiy/y4WCavfTQboZFN3WukLb7RiI3VUA6RO7T8fWDoc/7j9/8JkVFRdTX13PZZZclvU6diU7WaavdrUtPnKjpOFBlfWS1D10kk1tktCmELnKLOEllVCtEr6f6p2qHbvvTbV1LklK3Aue3lnV8bViMHvdae6Pd5iWpd2G84blEDNgR6OrbGhrYQyKJi1Xuy4fuy4uuyTSVvJJM3hFpR5/jnMWLOe744wG47bbb0ro2TdTSmN14e9m3p1Z7pLPnN1xZErrLLfIcgQ3xjWGdodqqTpfQBe6I0bXsheB9wQNisUN3Ocb1P/X2aDMvSV0SeuUSMaAwCGssqqlhG3YKfrLUurI9GYkLxDrQETQischxXerTJXNp5LfdfjtFRUW89957ab3+T1+j1iPFEkpltaOOSYfYpYyeyDERsQ9OhBG6zMuA7nKLngEqbxXyJd3qSay4O/XflWO0T8m1yPtbjslbUs9l6l1Bc/B5EJMFTkhMWwuauNOxYLX1XYJNnyuNWlsv0ujdl2xosv/BD35AbW0tsViMb33rWxlfY6ZWu2zrqdWeqRwT6eyDC67cIut0fLjILZD4wgtxhurQW/28Qc/bgft8unKMttp1h6QNm57IMblAXpJ6J7l9SYZgayC/bG1o6PZyCU086TQ0NxxRUgTIdGd5C7noiB0kpgMIG3pedNFFALz88svxdMY9gc9qh8TQR7kO12LqIj3LJJJjhjZ81nkBdh4FJMot7oxRcYb65BbI/v9PJccI3KgwcaJq40Zb7cnkmFwgL0kdcp+lEaA6kF+OnT27R5ka5Y/W8e3DsFOdR2JIfQSmQR/ADj8ljj1Z3PoTTzzBlClT6Ojo4Gtf+1oPapgIt0G6oY/QfbadXGe6TtQo7HFoIh25RUaahWp9OzYFRqHa140Lz9X/7hK7bmOuFCPQUTJSN71/OnJMNgh7RoY8fPGo2S6S/+Xyyy/nmGOOSase4mQREtfvDR2DSew/CfOCiwnYLHMdGJlH0gT4UgRonHzyyZx66qkAvPTSS2m9yzUdyLVrP4EvLamMOHTKA5GV0hl2ptP4fTP7cjWkjZAbyP/tShHFWEnRF64o0S0HsVP5xSLtLUJ3y3P9Ve6i310qz7Ru864fSEfR5DJtSd6Sem9g9erV3HPPPYwZM4aPBlkPXWgSF2dnGcb6HonJ8zwWQ+YTg8/xGDKXbHIHMW9R2oOJ4hFC143KxX/8x39QVlZGfX09J598clbX6UNYY9fWvJC75ID3zaZNdQ6wFk8YfMQekXv/Q8jcJXTJdaRnh3Zh9fMYdjQq8oZPP4feG5m5xO4LU9ZtXqADG3RQgyvH5JLY81Z+6S289dZbFBYWmvzqwTqtL+ve2ZcnXVLrjsA0dB3KJZb5fowjtgkbl5usMd9www2ceOKJAPzmN7/JyXX6kMyJKsNYfS96EvoY6eyDEz7rXKfMgO5yi0SStKr1YXIL9P5/63Peu5Pz3MgYaeepdPZcWtd5S+q9deE6flW89+6kIJ33WRL6i3Yu63XjlbS6zdhEXk1Yz3+qxnzTTTcBsHPnTq688srsLjANpBP66EYLyAOTjtYehT0OHoQ5Q3U4rli7XWp9DOv4TxbdAn37f/ranjthSe+r49h9Me29Qex5SeqFGN06l5A/dF+gq+9vaKCKcDKXRZyhQuRSjlgo8rotSa/bgm3srqXiwyOPPML48eNpaWnh9NNPz/o600UmVjt0n7CRrhM1FbFDd6s9Iva+gc8617NDwc6jgMR3BWhnqI6E8Tnn+wM+B6q23N02704KlPVu2GMukJekXkTmuV/S1WSPCiJgptbUMB6rpenJQq6mrL3kmsz1+0QlukXnc06Fk08+mXPOOQeAjRs3snnz5jSvIndIJ/RRWzDutaVjtUfx7AMPmsjkP0omt4jMKGkyXLnFnecB/f/f+UIeXZ5w23yB81uXlStiz0tSLwEm91LZFcFnJcbR6eZkcZ2C0lPrFLvyBiNxDokTNJMpz2Cs9JKSEvbu3RuPfOkPaKtdfuvOrNBZMrXaI5194MD1m8hnmNwiRC8RL1pukXL6U25JhVQ6e4Gzr+aDmHNMrpCXpF6EiTDpDcjLN46YPp0Kuuu6MSxB63eJCqEfIjFDox6eZdKYn3/+ecaMGUMsFuO6667r+QXlEELuboPXcoxrtafrRI109v6Hts4FWm4RLVnkFrHa5Vlw5ZaBaJ374DMqXJ09TI7R7T1XyNuQRtc6zNXy3AMP0NTYyMJPfYrjFy+mDWt9HwD2Ao1AA7Adk65All3YMMUWMpdbBIsXL2bBggUAPPXUU9x///2Z3ZxehDykyRKYZRP6mO5kjiiePbfwEboEC8i0fk3cejKRzt0ykOWWZBAdHRLr7oY/+ow0PY8jF8hLS70T2N1LZTdu3swT997L8uuvp2b+fBrWrk1IrCUNu1391rla0on+SIX77ruPwsJCdu3axaJFi7K5nF6BXJuQuUTFyJA0bAivrfZIZx8YCLPOhdDlf/PJLWK0gO209X87WAhdI0xn19ekE/D59PVskZek3oGxknMN+ePqgxdOtATn8c22DLNSs228r776KlVVVbS3t3Nh8ELpgQp93e4wVYd5FZOYPyad0MdM5JhIZ+8Zwqxz/ZYtV24pIDH53GC2zsPgMyp8YY+6jUYhjVmiA9jZS2V3Ae8FYY3vBnnV3eGY23hz1XCvvvpqZs2aBcCjjz7K888/n6OSew+pQh91etNsnKiRzp5baEc3JEoIMuJyiVtIXpyhQ5HQBWE6u3akuhlOc0XqA0ZTP3ToEOeccw6jRo3i7LPPTth2yy23MHHiRObNm8e8efMScoA//fTTzJ49m2nTpnH11VfT2Znaj9yFmbyTq0XiyOX7qCCscUxNTTw9qAw19RuNtA6XLaqrq/nBD35AQUEBu3btYtmyZTkquW8gD7RvNCMPuptLQy/JNHF3xl8YIp09NbRzTyCjKR1nrnO3iOUoz4GeTCT/+VAidEGYzt6pPt0lFxgwpF5cXMxXv/pVfvzjH3u3r1ixgg0bNrBhwwZuvvlmALq6urj66qv52c9+xttvv01TU1Po8S46crjoV9IJYUN3iSWXJO5iw4YNlJeXc+jQIU477bReOkvvIsyppIldoiNkiK8ndaRD7JA5sUfkbpDMGaqjW9xZoJ0YMtfO0KGgn6cLl9iTtfNcYMDILyUlJZx55pk8/fTTaR/zwgsvMGnSpLjkcNVVV7Fq1SquuOKKXqplepBsjZ/73OeYM2cOw4YNS+u4w4cPp7Wvu9+xxx7LpEmTAHj//feZN29ev0w0yhV8oY8yXNVpGHC2+yYvueXK/pEckxl6IreANXbC5Bb5DkP7/qajs+fq+gcMqafC7bffzk9/+lOOPvpobr31VqZPn059fT11dXXxfaZMmcLWrVu7Hbtq1SpWrVrVZ3V95plnOHjwINOnT2f69Ol9dl4wBP+Tn/wEYECFMmYKIXYdFYP6rXVal8jTcaJG6QXSQ9gUdx17rqNb5H/pItFJmm/WuQ/p6Oy5QJ/KL+eeey5z5szptqR6YcO1117LO++8wyuvvMKll17KkiVLAIjF0rsNK1asYNOmTfGlt7F582Z++9vf9vp5wlBQUMDHP/7xfjt/LuEbqmqJS0db9JXOni9yjDsTWtZJ7HkyucV9kUW+E7rAp7MPavnl8ccf79FxEyZMiH+/5JJLuP7669m9ezd1dXUJlvmWLVuora3Nup65wAUXXMB9990HkHP5ZdKkSXzoQx/i5ZdfZsuWLQnbpkyZwgknnMD69eszr/QAhRv6mCurPQp79CPMOnflFnFoyzawEoz+b6TjzCe5JRXc0aLrKM4Gg0J++eCDD+Ka8bp16ygpKWHMmDEsWLCA+vp6Nm3axKxZs7jjjjsGVNTHZZdd1ivl3nzzzZx00kk8+OCDCZFAsu3EE0+kpqamV87dX3BDH6F7bLuQSKfa7lpFYWVHOruBTteg18mIyCe3yH3QCbp81jlEhK6R7iS5TDGgSP24445j+/btHDhwgNraWv7lX/6Fz3zmM9x00028/PLLFBUVUVFRwc9//nMKCgooKipi9erVLF++nMOHD3P66afz2c9+tr8vI0IvImzCEiQmS9K5Y8KseLfcns5CHSoEJfeu0Fknybigu04OfpKP5Jb04OrsucCAIvVXXnnFu/7uu+8OPeZjH/tYn+jkAwkSXdPQ0JDRtqECbbXLbxni68lKen8hmmTJ0Xoqxwz29AKZyC0dJKaPDXOGRoSePtyRZ7YYUKQeIT3UBJObfBJLsm1DDTr00SfFaDlGLPVMrfahLseEWeeu3NKGvbc+ucVnnUMkt2SCvAtpjBDBB99MRNdq15EwbgcQFnGQD3KM3Bcd2SKzQ13HpyZ0ndtfT0aKrPOBgYjUIwx6CGlkYrXr45LJMW5csQ+DTY7RzlBfMi7pmITQtdyiX6OonakQEfpAQUTqgxD5rqmHQax032QOH5HpWahhcsxQC3vUcosmdO0M1XKLllVcZ6ggLAXDQLv2fEFE6oMQkaYeDl/oo85hrZ2o2hJPx4k62HV2HR0k8MktHWp/SMy/kw6hD5TrzVdEpB5hSMI3YcmNZ3f3T8dqH4w6e6Zyi2zTmQRlnUYktwxMRKQ+CBHJL+lBE7ubFsB1ovqsdp8TdbCFPeqp/gKdjAv8ckum1rm7PkL/ISL1QYhIfkkfrjUZZrVrgnZJa7DKMb4cOFpu0bHnqP309P9Ibhl8iEg9Ql4gHasdtd6dlTqY5JgwZ6hvqn+72k/8Efp6fIQeWecDGxGpD0JE8kvPkMpqlwyMYsWKFJHMiZqNHNMbhJhMbtGzQPUr5VxCj+SWwY2I1AchIvklO7hWu7bYXTLsctalI8fIsS56m9jD5Bb96jg9rV/qqP0HmtAjMh+ciEg9Ql5CW+06rl1b6Br6JcHpxrTjKcdFLojdjW7RCc60jKQnE+kp/W5dIzIf3IhIfRAikl9yBzeu3c00KOhy1mXy2rzehJsqV+dikfP7/AJaTvJdq0ZE5oMLEakPQkTyS+6hyd1NUqWhrdpkOdpxtvky8OXKQpc6u+eRGaBaWoHu73+FiMiHEiJSjxBBQeeR0WSZzJLNpNxcw62LfkmI7nT0tfRFvSL0HyJSjxAhBK5cMdDgI+RkWScj5Af69MXTEXKDSFOPECFCGCJSH4SINPUIESKEISL1CBEiRBhCiEh9ECKSXyJEiBCGiNQHISL5JUKECGGISD1ChAgRhhAiUh+EiOSXCBEihCEi9UGISH6JECFCGCJSjxAhQoQhhIjUByEi+SVChAhhGDCk/uSTT7JgwQLmzJnD8ccfz/333x/f1tTUxJIlS5g+fToLFizgjTfeiG/76U9/yowZMzj66KO5+eab+6PqfY5IfokQIUIYBgypV1dX89BDD/Haa6/xq1/9ii9+8Yvs2rULgFtvvZW5c+fy1ltv8c///M9cd911AOzfv58vf/nL/Pa3v2Xz5s2sW7eO3/72t/15GREiRIjQrxgwpH7CCSdQW1sLwKRJk6ipqWHHjh0ArFmzhquvvhqA8847jz//+c/s3r2btWvXcsYZZzBx4kSKi4u54oorWLNmTb9dQ4QIESL0NwZklsbf//73tLS0MHPmTADq6+upq6uLb6+traW+vr7b+ilTprB27dpu5a1atYpVq1bFfw8bNoypU6dmXc+9e/cyevTorMvJFD//+c/5+c9/DsDMmTMT6uFu62v01z3xYaDUZaDUA6K6DOR6APzlL3/Juow+JfVzzz2Xbdu2dVu/dOlSvvnNbwKwZcsWPvvZz3LPPfdQXJy8erFYeglFV6xYwYoVKzKvcArMmjWLTZs25bzcwVoPiOoykOsBUV0Gcj3A1CVb9CmpP/7440m379y5k8WLF/Pd736XhQsXxtfX1taydevWuHVdX1/P5MmTqaur45VXXonvt2XLlriEEyFChAj5iAGjqTc1NbF48WL+/u//nmXLliVsW7ZsGatXrwbgscceY9q0aVRXV7N48WLWrVvH9u3b6ejo4K677up2bIQIESLkEwYMqf/7v/87b7zxBv/6r//KvHnzmDdvHs8++ywA//AP/8Arr7zC9OnT+drXvsZ//ud/AlBVVcV3vvMdTjvtNI455hhOP/10zjzzzD6rc29IOj3BQKkHRHXxYaDUA6K6+DBQ6gG5qUtBLF1hOkKECBEiDHgMGEs9QoQIESJkj4jUI0SIEGEIISL1HuDpp59m9uzZTJs2jauvvprOzr591/yRRx7J7Nmz476HV199FYCbbrqJadOmMWPGjF6ZhHX99ddTW1vbLdQ07LyvvfYa8+fPZ/r06SxdupTm5uZercvTTz9NRUVF/L5cdNFF8W3btm3jtNNOY8aMGZxxxhls3749J/XYunUrZ511FjNnzmT27Nl85StfiW/r6/sSVpf+uC8AixYtYt68ecydO5fly5fT1NQE9P198dWjv+6JYMWKFQltN6f3JBYhI3R2dsaOPvro2Ouvvx6LxWKxiy++OHbnnXf2aR2OOOKI2NatWxPWPfnkk7GPfvSjsY6Ojlh9fX2srq4uduDAgZye95lnnolt3749VlRUlNZ5Fy5cGHv88cdjsVgs9vd///exW265pVfrsm7duthZZ53l3f/yyy+P3XbbbbFYLBZbtWpV7Morr8xJPT744IPYCy+8EIvFYrHDhw/HTj311NhDDz3UL/clrC79cV9isVhs37598e/XX3997J/+6Z/65b746tFf9yQWi8V+97vfxT73uc/F226u70lE6hni+eefj330ox+N/167dm1syZIlfVoHH6lfe+21sTvuuCP++9JLL42tWbOmV86viTTsvDt27IjV1dXF17/55puxuXPn9mpdkj2oVVVVsUOHDsVisVisubk5Nnr06JzXJRaLxf7u7/4u9m//9m/9fl90Xfr7vnR2dsa+8IUvxG655ZZ+vS+6Hv11T1pbW2OnnHJKbOfOnfG2m+t7EskvGcKXmmDr1q19Xo8lS5Ywb948br75Ztrb2/utXmHn7a/6vPjii5xwwgmcdtpp8cluu3fvpry8nLKyMgDKy8spKSlh//79OT33nj17eOihhzjnnHP6/b7oukD/3ZeLLrqI8ePHs3nzZr70pS/1231x6wH9c0/++Z//mauuuopx48bF1+X6ngzI3C8DGbEBEAH6zDPPUFdXR0tLC1dccQXf/e53+61eYeftj/qceOKJvP/++1RWVvL666+zePFifve731FRUdHr525ra2P58uVcf/31HHvssf16X9y6TJo0qd/uy4MPPkhbWxtXXXUVDzzwQL/dF7cey5Yt6/N78sorr/CHP/whnhJFkOt7ElnqGaKuri6ht+yP1ATSe5eXl3P11Vfz7LPP9lu9ws4rqR36sj6VlZVUVlYCMHv2bBYuXMhLL73E2LFjaWlpobW1FYCWlhba2tqoqqrKyXk7Ozv59Kc/zbx58+JWYH/dF19d+uu+CEpLS7n00kt58MEH+7W96Hr0xz35/e9/z6ZNmzjqqKM48sgj6ezs5Mgjj2TcuHE5vScRqWeIBQsWUF9fH08AdMcdd/RpaoKWlpZ4FEFnZydr1qzhuOOOY9myZdx55510dnaybds21q9fz6JFi3q9PmHnnTBhAnV1dTzxxBNA39yn7du3x62bbdu28dxzzzF79mwKCgo4//zzufvuuwG46667+MQnPpGz815zzTVUVFTwve99L76uv+6Lry79cV8OHDgQjxrp6uril7/8JbNnz+7z+xJWj/64J3/zN3/DBx98wHvvvcd7771HUVER7733Hp/+9Kdze09yov7nGZ566qnYzJkzY1OnTo391V/9Vay9vb3Pzv3OO+/Ejj/++NjcuXNjs2bNil111VWxlpaWWCxmvONTp06NTZs2LfbTn/405+e+5pprYpMnT44BscmTJ8euu+66pOfduHFjbN68ebFp06bFlixZEmtqaurVuvz7v/97bNasWbHjjz8+dvzxx8fuvvvu+P5btmyJnXrqqbFp06bFPvrRj8bq6+tzUo/169fHgNicOXPi5/3Xf/3XWCzW9/clrC79cV+2bdsWW7BgQWzu3Lmx2bNnxz7/+c+nbKe9cV/C6tEf98SFdvLn8p5EaQIiRIgQYQghkl8iRIgQYQghIvUIESJEGEKISD1ChAgRhhAiUo8QIUKEIYSI1CNEiBBhCCEi9QgRIkQYQohIPUKECBGGECJSjxAhBdra2li4cCEHDx7MSXnNzc0sXLiQjo6OnJQXIYJGROoRIqTAPffcw6JFixgxYkROyhs5ciQf+9jHuPfee3NSXoQIGhGpR8hr/PKXv4y//Wbu3LkUFBR0S7N61113sXz58vjvCy64gN///vfx33V1dRw4cACAK6+8kmuvvZYzzjiDyZMn88ADD/D1r3+d+fPnM3v2bHbu3AnAJz/5Se66664+uMII+YaI1CPkNT7xiU+wYcMGNmzYwKJFi7juuusSMvK1t7fz6quvMmvWrPi6jRs3cvzxxwOwa9cuysrK4ilbN27cSFVVFU8//TQ/+tGPuPrqqzn33HN58cUXmT9/Pk8++SQAc+fO5aWXXurzVyFGGPqI8qlHiADceeedbNiwIf6yBEFjYyOVlZUUFBQAsHPnToYPH87IkSMB2LBhQ5zg29vbee+997jlllvix59zzjmceuqp8d/SYRQVFVFeXs6ePXsSXpgQIUK2iCz1CHmPZ599lu985zv87Gc/6/ZS7eHDh8dzawO8/PLLzJs3L/77hRdeiP9+4403mDVrFsOHDwcM4Z9yyinxfTdu3Mhxxx0X/93a2hrfN0KEXCEi9Qh5ja1bt3LllVfys5/9jDFjxnTbPmrUqITXmb388stxkt+1axd33HEHc+bMAQxpn3DCCfFjX3755fjvtrY2GhoamDJlCmBem1ZRURG3+CNEyBUiUo+Q1/jv//5vdu/eHX9b0Lx58+JOT8GSJUv4zW9+AxiiHjZsGMcddxxXXnklJ5xwAnfeeSdgSF1b8Rs2bIj/3rRpEzNnzoxve+qpp1iyZEmvXluE/ESUTz1ChBR4/fXX+epXv8ovfvELZsyYwfr16xk/fnxWZZ5//vl8//vf55hjjslRLSNEMIgs9QgRUkBew7Z//35aW1uzJvTm5mYuvfTSiNAj9AoiSz1ChAgRhhAiSz1ChAgRhhAiUo8QIUKEIYSI1CNEiBBhCCEi9QgRIkQYQohIPUKECBGGECJSjxAhQoQhhIjUI0SIEGEIISL1CBEiRBhC+P8BBXfPQpnTZVkAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u1.BPM(verbose=False)\n", + "u1.draw(\n", + " logarithm=True,\n", + " normalize=\"maximum\",\n", + " draw_borders=True,\n", + " scale=\"scaled\",\n", + " edge_matrix=edge_matrix\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### XY scheme" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:05.338961Z", + "start_time": "2020-05-01T22:47:05.257703Z" + } + }, + "outputs": [], + "source": [ + "from diffractio import mm, plt, um, np\n", + "from diffractio.scalar_masks_XY import Scalar_mask_XY\n", + "from diffractio.scalar_sources_XY import Scalar_source_XY" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:05.356366Z", + "start_time": "2020-05-01T22:47:05.345070Z" + } + }, + "outputs": [], + "source": [ + "diameter = 2 * mm\n", + "focal = 25 * mm\n", + "\n", + "x0 = np.linspace(-diameter / 2, diameter / 2, 1024)\n", + "y0 = np.linspace(-diameter / 2, diameter / 2, 1024)\n", + "wavelength = 0.6238 * um" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:05.647505Z", + "start_time": "2020-05-01T22:47:05.362495Z" + } + }, + "outputs": [], + "source": [ + "u0 = Scalar_source_XY(x=x0, y=y0, wavelength=wavelength)\n", + "u0.plane_wave()\n", + "\n", + "t0 = Scalar_mask_XY(x=x0, y=y0, wavelength=wavelength)\n", + "t0.lens(r0=(0 * um, 0 * um), radius=(diameter / 2, diameter / 2), focal=(focal, focal))" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:06.885637Z", + "start_time": "2020-05-01T22:47:05.649561Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(
,\n", + " ,\n", + " )" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t0.draw(\"phase\", percentage_intensity=0.01)" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:06.902752Z", + "start_time": "2020-05-01T22:47:06.887642Z" + } + }, + "outputs": [], + "source": [ + "u1 = u0 * t0" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:09.669324Z", + "start_time": "2020-05-01T22:47:06.904673Z" + } + }, + "outputs": [], + "source": [ + "u2 = u1.RS(z=focal)" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:10.533686Z", + "start_time": "2020-05-01T22:47:10.067511Z" + } + }, + "outputs": [], + "source": [ + "u2.cut_resample(\n", + " x_limits=(-20, 20),\n", + " y_limits=(-20, 20),\n", + " num_points=(1024, 1024),\n", + " new_field=False,\n", + " interp_kind=(3, 1),\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:10.907883Z", + "start_time": "2020-05-01T22:47:10.535370Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(
,\n", + " ,\n", + " )" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u2.draw(logarithm=1e-2)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:11.201471Z", + "start_time": "2020-05-01T22:47:10.910313Z" + } + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(array([-25. , -24.97557401, -24.95114802, ..., 24.95114802,\n", + " 24.97557401, 25. ]),\n", + " array([137.89911863, 137.03093676, 135.43659591, ..., 135.43659591,\n", + " 137.03093676, 137.03093676]),\n", + " (-25, 0),\n", + " (25, 0))" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "u2.draw_profile(\n", + " point1=(-25, 0), point2=(25, 0), npixels=2048, kind=\"intensity\", order=2\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:11.209152Z", + "start_time": "2020-05-01T22:47:11.203338Z" + } + }, + "outputs": [], + "source": [ + "def intensity_area(u, r0, radius, power=1, has_draw=True):\n", + " intensities = np.zeros_like(radius)\n", + " mask = Scalar_mask_XY(x=x0, y=y0, wavelength=wavelength)\n", + "\n", + " for i, r in enumerate(radius):\n", + " mask.circle(r0=r0, radius=(r, r), angle=0)\n", + " masked_field = u * mask\n", + " intensities[i] = masked_field.intensity().sum() ** power\n", + "\n", + " intensities = intensities / intensities.max()\n", + " if has_draw is True:\n", + " plt.figure()\n", + " plt.plot(rs, intensities)\n", + " plt.ylim(bottom=0)\n", + " plt.xlim(left=0, right=rs[-1])\n", + " return intensities" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": { + "ExecuteTime": { + "end_time": "2020-05-01T22:47:12.520585Z", + "start_time": "2020-05-01T22:47:11.211144Z" + } + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rs = np.linspace(1 * um, 400 * um, 51)\n", + "intensities = intensity_area(u2, r0=(0 * um, 0 * um), radius=rs, power=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(17.37129116337021,\n", + " 17.371291163370206,\n", + " -1.167500309009789,\n", + " (-9.604513658815448e-15,\n", + " -1.0079882893323392e-14,\n", + " 18.86010979266149,\n", + " 18.860109792661493,\n", + " -1.853294730815668e-15))" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWMAAAFVCAYAAAA64Y5RAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAAuJAAALiQE3ycutAABmMUlEQVR4nO29ebwcRbn//57tLElO9hNIchIg+0nIhrkQQkCBJCAQlgiCil9BuQoGjYIiq6AgXgRRfxpRLyAILuiNrCL7mhD2AEICJGHJAtlJTnJylln690d1z9TU6ZnpnumZ6Zmpz+vVr967q6ur3/30U09VBwzDMNDS0tLSKquC5U6AlpaWlpaGsZaWlpYvpGGspaWl5QNpGGtpaWn5QBrGWlpaWj6QhrGWlpaWD6RhrKWlpeUD+QrG69ev5+ijj6a1tZVJkyZxySWXJNddfPHFjBkzhnHjxrFkyZIyplJLS0vLe4XLnQBZ4XCY6667jhkzZtDd3c3RRx/NvffeS+/evXnuued455132LRpE4ceeijHHHMMffr0KXeStbS0tDyRryzjoUOHMmPGDADq6uqYPn0669atY8mSJZx11lmEQiGGDx/OYYcdxiOPPFLm1GppaWl5J19ZxrJ27NjBPffcwyOPPMIjjzzCggULkutGjhzJ+vXre+yzePFiFi9enJxftWpVSdKqpaWlJaupqYm2tjZX+/gSxt3d3Zx66qksWrSICRMm4LT7jIULF7Jw4cLkfCAQKFYSa0rlzsVa6jxF53V1qKWlxfU+vnJTAMTjcb74xS8ybdo0LrzwQgBGjBiRZgmvW7cur4vVcqcA5YWDQe3BodzXXO57XsvyHYy//vWv09TUxM9//vPksgULFnDbbbcRj8fZuHEjS5cuZd68eWVMZXWr3A9kuYHkBxmUNx8ClL8c1Jp85aZYtmwZt956KwceeCDTp08H4Ktf/Srf/va3efTRRxk3bhzBYJAbb7yRpqamMqe2+lRuAGvZy8qbct0f67xe3qNgMFjRbkTDMEgkEp4eM1DN/RlX8s0upcqVS1Vb8EqgSn1xRiIRfvSjHzF16lSCQd99mDuWYRjs2LGDm266iWXLlvVY39raysqVK10d01eWsVZpVeoHWsPXO6l5Wcp7GbA5v1N94QtfYNasWfTu3dvLJJVFzc3NXH755VxzzTW2QHaryn01aeWtUvgCDZtBq3gqdX7nW4ZOPPHEqgCxpcGDB3Peeed5cixtGdeQiglgDVv/ye6eeF0G3PiTg8EgvXr18jgF5dfAgQMJBoMF+5A1jGtEXj+EGr6VKfm+eVkmnLguAoFAVdbjeHVdGsZVLi+LvgZwdclrMBcj6qKWpGFcxfIKxPrhqn55GT6noZyfdAVeFcqrCjpd8VZ78vKeV4pD4rrrrmPmzJnlToaGcbVJW8NaXsgrKPsdyCtWrKCjo6PcyQC0m6JqpCGsVQwZFF62/Ark7u5ufvOb33DDDTfw0EMPJZd/8MEH/OxnP2PHjh188MEHxONxDjroIH7/+98XNT0axlUgDWKtYsoLIGNzjP32u5rGxvc8OHK6OjpG8eGHV+Tc7uabb+akk05iwIAByWWxWIyLLrqIRYsWJftNX7JkCTfddJPn6VSl3RQVLO0b1iqVqq2MrF69mjfffJP58+enLX/llVfYd999OeywwwAYO3YsbW1tJWm6rS3jCpW2hrXKIS+jLpxYr8XS66+/zvvvv89JJ50EiK57TzzxRObPn8/YsWOT261atYqJEyeWJE3aMq4waWtYyw+q9LJz6qmn8u9//5v77ruP++67j1AoxH333cewYcNYvXo1IP42dMcdd3D66aeXJE3aMq4geQVhLS0vVO6uPYuho48+mmeeeYbPf/7z9OnTh/PPP59x48aV5NwaxhUgDWEtP6saoPz8888D0NDQwHXXXVeWNGgY+1yFFnANYa1SqRqgXE5pGPtYhRRqDWGtcklDOT9pGPtU+RZkDWEtv0hD2Z00jH0oDWKtapIul86kYewz5QNiXdi1KkG6nGaXjjP2kTSItbRqVxrGPpEGsZZWbUvD2AfSINbS0tI+4zJKV9RpaZVHmzZt4kc/+hHbtm0jEAhwxBFHcP7555c1TRrGZZIGsZZW+RQOh/nWt77FxIkTiUajfPOb3+Tpp5/m05/+dPnSVLYz17A0iLW0yqvBgwczePBgACKRCOPHj2fTpk2A7lw+qUWLFrFkyRI2bdpELBYD4KmnnmL+/PmMHj0agAMOOIC77767nMnMWxrEpVM5Gxvo+5Vb+119NY3vFaFz+VGj+PAK591z7tq1i6eeeorf/OY3Ze1c3ncwPu2007jkkktoaWlJW37IIYfw2GOPlSlV3kiDuDjyYwuvTGnS99JfikajXHzxxZxxxhnsv//+vPDCC7pzeUuzZ88udxKKIh0x4Y38CF43skt/rd5nN9ZrMRSPx7n88ssZN24cZ555JgBr167Vncvn0iuvvML06dM54ogjePjhh8udHFfSIM5fAWWoRqnXWK3X6Tdde+219OrVi+985zvJZf369dOdy2fTQQcdxIcffkjfvn156623OPbYY3nmmWc44IAD0rZbvHgxixcvLlMq7aVB7FylgFAxrI9EEY6p5kWtloli6fXXX+e+++5j9OjRfOlLXwLgxBNP5OSTTy5b5/IBwzB8eZ/D4XCyAk/VGWecwWmnncbnPve5rMcIBMprY7g9uy9vRJHl9R3y66ee18CuxLISCoV44IEHklEM1aJt27ZxwgknEI/Hk8taW1tZuXKlq+P4teym6eOPP8Z6Z2zcuJHly5czadKkMqcquzSIM8uLz/FghsGv8jqt2qVRffKdm+Ib3/gG//rXv4jH47S0tHDSSSfR2trKTTfdRCQSAeCaa65hwoQJZU5pZmkQ91Sh0PAzaPOV3TXlY0FbeVsL5aia5TsYZwqsLndTRafSIE5XvhAuFnyLYUl6eQ/l63YLZg3lypbvYFxLquaHJh/oeQXgUn+6ZztfIfdYzQ+ncNZQrkxpGHsoNxCo5gfFTT544Tv1s7yMK7byyg2Uq7mcVZs0jD2SBnFpIOx3+DpRoWFrblwZ2kquHGkYeyANYmd5UMsAzqZC4OzUWtZQ9r80jAtUtYMil5xevxsQFzNPK6HRh3z9TuHpBsoayP5UNUYMlUy1HDnhNMbVTUyt13GzpYpDLuZ53OaJk/Pr+GShG264geOPP56ZM2eWOymAhnHeqnUQ51K5IOyXBiBew9ltIw8n56x1KM+ZM4fbb7+93MlISrsp8lCtgthLv7CX8K0E5RumZien/l/tusiuadOm2S7XnctXiGrRkvAThCsFvrlUSOMOS15CuRwVfFdffTXvFaFz+VGjRnFFnt1z6s7lK0S11gObXyBcLQDOpEKt5kqHsp/0yiuv6M7lq1GVWqC99kvmo2oHcDblazVXGpTztV6LKd25fAWoVvzEXlXO5VM55JfKNz8pn/zwMtKl1txyunN5n0uDWKgYlrAGrzPlYy27sZTLbSWXQ9deey3Lli0jHo9z/PHHc8QRR7Bo0aKydS6vYeyxKrHAaghXlvLpowKyl02nrotKLN+ZdOmll9ouv+6660qcEiH9TORQtTd1LhTExWiUoOVMbvPSyb3SbovySVvGHqlWQexUlQJgO8vQ72n32lLOdbxqs5D9Ig3jLHIKm0osmNmuzWvryG8wcxs6lm17P12b111sZvMlayB7Lw3jDNIgdref22OVWsX4g7Pdcf1wzbkq5GQ5sZK9ArJhGPj0/8cFKZFIkEgUXsL8UHa0SqhSgNgvfuGENJT6nOVWPv7kbMfKtp/TspFIJFi7dm3Gv75Xotrb23n99dc9eckEjGp8VZkKBPKrbqhWq7hUIC63/ABDWZWWJ5nKda5jOHkeBg0axFVXXcXo0aPzfj79IMMwaG9v57777uNvf/sb0Wg0bX1raysrV650dUwNY3UfF9tWUsYVG8TlBk6hAHZyLyu9Xw0vgJzrOI77Xw4Gyw7jQowuwzCyuibygbH2GUuqNRBXOoTzAXAh9y3Tvo4/06XpcuSbmwq+bP5gL/zIXvhYC5XfnncN4zxUKSCuRmvY7SNcinulnsNJ/pWz4s+LrjWrIdLCwHlZL8U1aRibqlzvlb2KCeJSgqPU1q8Xks/vZ6vZSdRFtQPZT9Iwxn+fK8WU30HsB/h6abX63WqudSD7yTrWMK5CFctHXCwoeFWx5OV53O7nNG/s0p8r74sN50L7pah0IPtFNQ/jarOKiwHicv5ROZ88L0fVUCGt9Nxaz9a5igHlfHtvq2Qg+8U6Lne0TQ8tWrSIlpYWwuH098TFF1/MmDFjGDduHEuWLPHkXLXiJ/YTiJ00ijCkwcmx1MFvcptOA2d5UIzrLaSHPi9bb/pZxboW38H4tNNO4+WXX05b9thjj/Hcc8/xzjvv8OSTT/Ld736XPXv2lDRdfn6zQ+WAOJNywacSoOtWbuGc7TheqlhA9rP88Hz7Lu9mz57Nvvvum7ZsyZIlnHXWWYRCIYYPH578UWAhqoU3dSWA2CmAa0G5rjdXXnmpYgC5Fp65QuQ7GNtpw4YNjBgxIjk/cuRI1q9fX7Lz++GtmUmVDmK7bZ0CWP2cr7Qhm7LlQ6b9NZALU7mf84qowHPaYnvx4sUsXrw453Z+LhBulM91+AHE+YCk3A9KMeS04i5ThZ1dxVPCZrtCVEjoW6Z9/VyhV87KvIqwjEeMGJFmCa9bt46WlpYe2y1cuJCVK1cmBy/k10KTT6OOSgSxEyuyWuTEb263j5PtClGtWchu5OV1VASMFyxYwG233UY8Hmfjxo0sXbqUefPm5XWsaghlqwUQ1xKE7ZTNFaHmmV+A7FZ+BXK5yp3vYPyNb3yDlpYW4vE4LS0tLFy4kLlz5zJz5kzGjRvHZz7zGW688UaamprKnVTfqZJA7NYfWqtyaiX7Aci1GvLm1TXUVBea1WwVVxqI7eTXPPeL7O6lev9KEXKWr3+/0u57IbzIpwtN31nGflClFQ4/gDibpatuZye/5rmf5MT6LUWkhdcWsl+tYzdl0otrqBkY+/WGF6pygzhXXKy6rZPttDLLKWid+pvzlQay96oZGDuVX8HgprCWEsR2srPOKgHEgRyDX1QIkK1tvYByMXzItayKiDMuVJX+TzsvC7UXD4JbsPoVxKEg9OsH/fvDgAFiqKsDw4B4HBKJ1LB3L2zbBlu3wp495U97phhjSL/HVjrtypAXHQ456VzIaV75Nf7YaexxoemvCRhXo/L53CsUxJUK4V69YPRoGDMGxo4R4+Yh0Lcv5PMbtq4uAeVtW2HjRnj7HXj7bXj/fQHuUikTJOwafuSCcqmB7KQxSa2p6mFcjVax30GcqxFHsdWvHxx8sBgmToShQ1ProlF4/z1Y8Sp88okYdpnjnTuhsxNCIQHpYDA13acPDB4Mg5qh2RwGN8OBk+H4E8Sxu7pg9WoB5jfegJdfFscrprIBGZxDudhAdrpPLVvHVR/aViswLqaf2KuWdMXU2LEwc6YYJkwQAO3shJVvCUCuWSOGDRtyJNSlgmEYNUqcc8IEGD8B9ttPnL+7WwB56VJYvhx27fLuvHZy+zJ286J3KrdlwI2vu9xyw5J8Qts0jE35MRP8YBUXEq5mt62X2mcfOPZYMeyzj1i2YQO88Dy88AK8/jrEYmJ5Pi+wbMrmmmlshIMOgsMPh5mHQlOT8EP/5z/wxBPw6KPQ0VHAyXPITVnwGsj5xCBXI5AnaBinyymM/ZoBXljFXls65Y6SCASE9XvKKTBjhlj27jvw2GPw/PPChwvO8qkUL6lQCCZPhtmzYfbhwr3R2QmPPwb/vFv4mYupfBuKFAvIhfa7UW5pGOepSoZxpYK4WHkZDsHxx8PpZ8C++4qIhkcehgcfFEDLlTdOW6qp27oBi5P8mjEDTjwRZh0mXiyvvgJ//zu89FJxy2Gu8uTliwqq112hYZynNIwLk/yAuAVPobKuKxCAOXPgrLMFhD/8EJb8HzzxmKgws9vHUibYuAGzqmz54GZdczOcdAqcMB9694ZVK+Gmm+CttzLvU6g0kL2Rk/KiYazICYz9ePF+AzGk51MxQSxf0+GHw9lfFRViGzfCn/4ITz4p/K/qtuAMvtmgbHdMS7ngYZc/TvKssRHmnwhf+JKI2Fj6LPzv/5oVjVnOna9yATdX/riRhrGGcVKVCGM3DTzKYRWXAsQHHADf/76ITNi+De64HR56SDTEcANZp8vs0iDLKYidLrNb3tQEXzoTTj4FAkF44H647bZUBEapgKyt49zSMM5D1QJjv1rFXgMiFIIzzxRQ6u6C22+D++6FWDS1nR04nMA3F4zzcWdls4BVGGeal5cB7LMvfO0cOPIoaNsNv7gRnn46cxryVb4uHbfyAsaZti2ncpUXDWNFlQbjWgbx+PFw0UXCKn7xBQGhbVtT2+SCq918rm3lZbJyVeC5hW8+YJ7QCt//AYwcKcLhfvlLUWmpbl+InL6Y/ABkPz2noGHsWrlg7LcL9zOMi+WeCIfgq18VURLte+C3vxFxuG4h63Y7dVunyuaKyARgp2BW19XVwVfPgc+dCtu2ww3Xw4svFs9lUQ4gV6p1rGHsUpUEYz+DWF3nVb717wc/+hFMngLLnoVf/RJ2fiLW5YKrOp0JzLmAjbIsm5xaxOp0NjA7gfLUaXDRxaI/jXvvgcWLIRZ3kGAHKjeMoTKtYw1jl6oUGPuh0q7U0RNjx8LVV4v+Hn73W7j7n5ktWTvw5rsMep4nH8tYhagTCLtZph6zoRG+vQjmzIPXVsCVV8LuPS4SnkXlBnIlWscaxi5VyTAuJ4ihuFbx0UeLaInOTrj6KnjttdxWr93YyTbydtn8yPIyO+VyT8iQNsgN31xjMkx/7lT4xnki1O/SS2DDxiyJdig3MdilbJlXyUDWMFaUDcZ+uWgvrOJSgVhdl4/++7/hC1+AtWvgyitg82Z3Vm4QCNksUwEcVJZjc+xMPmN1PmEzncsiTmAP5nzHSNMzZ8KlV4h+N668UrzMClEu4JYCyJnKlZ/dFV7DuNAvD60C5JV7Il+5LeiFPgTf+pYA8dNPwfnnZwexBV03QxiISENYGdcp0xGgXpqvk7aRh7oM20ds9pHPJ6fDGjKl3c1XwPPPw6LzRWdD118vvjQKUaaQvUzKtT6bMgHHTfkuxrPgB1V9f8bVrnzfpk5AXMhDp+q734X580V/Ej/7GQQM564GFVayZSwP6rZ2FrJqKTt1U0Bmq9ipRRw3z2eY04Y5H5euSV4WNPcLSsexpt9/HxaeCz+9Di69FBIJ0TqxGLLSJMtKV7FlXW8tSMO4TCqnVVxKEAcC8L3vwWc/Cw/+C37+c2c+31COaXkISesCNsvt4Aw9wZyWbnMs50smX3E2+MrrgthDOagsk8+ngtlaH0B0hv/9C+Hnv4DLLhMtFJ95hrykAleFrZdAzgRY9fqzyc22lSLtpqhg5XPz8gVxvgX/Bz8QIL7vXmcglj/b1U/5CCl3hOwSkOdV14Hsfqgn3d3QoCxvkIZ6aRu77WQ3Rb1ynoiyTk6n7L6wrkUey0M2Hznm9J49AsjrPoQrroBZs5zemdxyUl9QCqvVr5Dy+mXg1+ssqvz6Ri12pV2pQfzf/w3z5sE9d8OvfuW8Yi5kM20BWgWyBbh6UvBV/byqT7jeZrohyzbyert95XPJY9nnrPqPQ9K83Ysn04vJDshtbfC9C0TnQlddJX43lY+cwNYrIGvfcU/VJIzLLb8UomL6iI85RlTWPfM0/PrX7kBsByc7iMnTmcBsB011aFC2rVemswFb3deuss/OepctYusFYzdkc9nIQN61Cy66EDZtEkDef//c98hO+QK52KoFUNVkaFu5L9hpXLHbbbOplFbx5MnCJfHeWli0CGLd+YFYtYwzWY9BUnALYm9VZvrkV8Pb7PLWrqGHnX9YnY4DMVJ+5XiWQd0+ruxjKMvU81vpGj4cFv9OwPm8c/NvGOKk3HkR8lZoQxA/PstQA3HG+++/P7179yYSiQBwxx13MHny5IzbVzqMi+miKBaIhw2F394kfsa58FzYscOda0IFadjhvDxt596wszJla122NO2UDcTyIINTHmTIytPZ5lWAOwXyIYfA1dfCyy/BJZdAIs8Cn6uc+gHGmbYtpezyKR8YV1w0xcMPP0xLS0ve+/vxxpX6E6xYIG6oh59cC/X18IPveQ/ibJ/zduvsjp0NyHagyRRBkQnEmazgECnQytOWdR6XpgPSfrKs41iS0xaUpl94Af54i+hk6Gtfg5tvTt/eqewiKLKtzye6wk1kRbWHuVUcjGtFxa64y7YuHxAHgG98Q/yV45ofwZo13oBYjTKQfcd2gI7YHCMTlDPBWM1jtamzGspmWamq9WtBVx5U8Frnk0PuskkGckKZlsPn/voX0f/HF74I77wDzz6bXziYF8DVcqaKg/H8+fMxDIPjjz+eq666Kumy0PJG+YL4oIPgpJPh8UdFZ+iFgDgbYCPKMhXYKqxV61r2M2fzHauSY3xlF4FsEYek+TACyDKUo6RgbFnF1vFk4OWq4FWBbF2HCuSfXQcHjILvXgBvvJH6a4hbZQNyLuvZa/nROvYqDyrqJffss8+yYsUKli1bxjvvvMMNN9yQtn7x4sVMnDgxOagqt4vCTm58xV5IzgMvaskDiB9qXvQD8YukX/9/3oFYDQfLFL4mR0VYEQz1pMcLW/ON0nyjw0HetkFZ3iAtayA9wkKelsPr1BA4u2bTbqIs1EpJK++7OuH666BfX9EUHUoLTqcqNMzNj9eUjyqqAk/WQw89xOLFi7n//vszbqNW4JX7QstRcQfp0M0E43xBDHDxxSKe+AffF7+eB/fha3YxxNZ0xOG0egy7sewSUC1k+ZpU2fmKM1XWWVZwQpq2rGF1OqZsoy5LSOuyRWFkq9Q7byEs+Jxopbd8eep63CpbhV0gw3KnqvSoCkjPg6quwGtvbycej9O3b1/i8ThLlixhypQpjvf3w80qh5yAuBAdeijMnSc6PX/llZ4AVl0BauhZJhCrccQqeO2sSDuAyy4OGcrZYnbtlCmUzQKhDF/VNREi5aIImNPyea1f/NmdO2peQyZZLo6glLagMr71Zjh0lumuOAva27McMIuK6ZJwU5FXraoYN8XmzZs54ogjmDJlClOmTMEwDC677LJyJ8tzeW0VO1G+hT0Ugm8uhK1b4A+/7xkeJoPYzhq28+tmArGdW0J2P9g1abZr1iy7KGSXQy+gGRhiDs3AYHMYaK7P5MZokNar52qgZ7NpuXGI2ouc+mKxLH41z1QLX62QlMddXfDz62HwIDjvvNS9qVRVDLRcqmIs41GjRvFanh23+vXNWsmFKgCceCIMGwbXXSseeLuYXdUalsO3VBCrlXZql5QqmO36fLCDmVrJVw8MAPoC/YAmoLeULjslgN1AG7AT+MSctqxjy5VgVdxFpemQtMyykrulY8vWsZ3chCLKHQ/Jev01eOjfcOxnYckS0etbPpKtYz9FVvjBgi70y6FiYKzlnQr1FQP06gX/7yuwZjU89lhmq0x2UaiNMVR/bjYAy1ak2ldwnc32qnujHhgKtACDSAfKXmCbObaiE+QXSwBh9fYBRgIjzHUxYCuwHthCeqMNGcohadwl5U0X2V8AqgxpHMuyjRphYY1v+yMcPUf8APaKKxye1EXaCoV0rbsqNIxLJCcPXKkq7rzQF74AffuK3ybZSYZwJheFU0tYjp5QoyrUTnnUT/6+wP4ICEcQsNyKsGo76em/hZ73wUBYw1ZsseXW6IMA/FAEyD80B8sq7iYFYvnFFCMF4u4s55XPr3atCel+aPWLQ/YfW9by9m3Ct/+502DCBFj1doYTVoD8GOIGhVnHVQ/jWnijllrNzXDqafDiC6n/12WrrJMjF2QfcjZIZwOx3BObNa0CuhcwCRhmnm8nAsK7pXMEgMYgBIMQMIegFcArKWF+8xsJiMcgkYBdwA5gHcLlMQRoBUYjgLzWPIcFZLmyMFtMswpdg/QKPDneWX3Zyg1RrPxX+0n+61/guBPgnHNEP9P5PB9+dVVUuqoexn5VuQqwF9byF86ASARu/oP9ejv3hJ2fOCBNy9EOmfotlmOI7Sr0LECPACaa01uAzQgoRhBWbSgMwTCEIwLAoVAKyJAOZBnEiYQJ5DjEopCICTi3AdtJWcpjzfEbCGBbQLZz32SSQerhzNQE22pkEpSmQ9I+cqSF5UPetQuW/APO/H8wbRqseC1LIgpQLUM63+dKw7hKVaxPuD594LPHwfPL0yuBVKsY7Gv91bFdFIWdb7g+y9iCcW9gKiISohN4ixSEewHhOojUC/iGwhCKiHEgCMGAObYhSMLMzHg8BeV4VIA4FhVDuBu6ErCalGvkUOA94F0zHWrEg53sOv4Jkw5g2W0hN8O2wunkl58l2Yf8j7/DSafAV77iLYy9CH0rxG9c6b5lDeMSqBz+YlleFtD580VHQHfdJebVcDbZ/6lW3KnuCdU/rFa+yS3vsoG4HgG/iebyjQhrOIxwQ1gQjkQEgMN16UBOuikCmWFsGD1BHI+bQO4S42hUTHfEYBWism804uXwBiICw3oxZZLshrDmE6Q/qLKlLFvERoZBhdvevXD/ffDFL8EBB+QfWaHlrTSMtRwrEICTThIRFP/5T0+oZLOIZZeEPG1nHauVcXauCrlT9/Hm0IGwQmPmdnUmhOvqIWzCOFyXsogtIAdDKQsZegLZck9YIE5YvuM4RLsgXm9ax13QHYZgF0Q74QOgP8JtMgtYAXyUIW8taNYryzLB1c5dYecWku+JHO72wH2iE6FTToYbf5EhUVnkB7+xXyvx8pWGcRlUqb60Qw6BIUPgjj/ZN+6wplWLWAay7J6Q19t1DmTX4EN1TUwExiAq1NZa64NQ1yggHKkXAE5OR0hzUYQkEAdDmS3jhOmisHzGcdNfHI6I+e4O81gRAf3uCIQ6oC0m3CXjgOkIiH2sHF91S1iQtfzrVvyy3BGQagnbLZMH2X+cALZuheeWidaTN/0OOjp6Xneh8jrErdqlYVyFylSQC628O/FE8Yn7+ONi3s5FoQ6ynzRT9IQcZ2zXeMOyhtUOdywQ70T4ZuuBunAKxNY4bEK4vlGA1w7IQdmMty7GyjTTpEzEhLvC8hUnYgL0sW5xDNk6tqIzAh2io/3ViIq96eYhN0uHtwbLPyw3s5Z9xpYFbG1jV7Fn5y/GZh7ggQfgsNnw6U/DQw/ZbOAzVbpPOJc0jH2gYvqLvVKfPvBf/yVacXV12bso1IYS2ULdZCjbNYe2izeWQXwgMArhh/0As5lzXQrADb0g0pByU8juilBYWK89/giayaFrki5o1paFYlAXFRZxuFv4iS0oB03rOBQyLW2zYjDaKYA8DvgU8AoCyBZM1SEirbO6zIzQs6MiNUJDto5zuSpefhm2b4fjjvMOxsXsv8KJKhnYGsZFVjkLJnhXMGfOFIB55pme61SXhbXMAoUavqYCWI2mUOOIVYt4DALEO0gHcUMvAeP6RhvruM60jOWDy6EbcoLlC7I+J+TfeETFEIpBqAvidSkoh8LQ1SEs7WAw3QXS1Z4O5BcQsc+qHzhCT8vYAqyaj9ms4yD2rgr52h57FE4/Q8SOb93a894WqloOcXMrnU9VpmL52g4/XLgoVqzIDt9MMcZqeJscWZGpibTa5LkOUSE2AWgH3jfXWyCu7y2A2yCNG8xxrz4Q6oWIf+uNiHVrQgQHy0MT0BSUBnN7a73NdKiPeU7zvL2axLi+t2mlm+NIg4DiO2aeTcW+mbf8dZDpxSUDWbWOM8Uxy/fKml62TIwPOQRfySmYqglg2jL2qfxUyOrq4OCDRYVPPN7TgFTjWTOBQfYEZGoWLYMoSE9QTTeXW5V1DZaPuDEFvogEwLpGMU8jqVYfaX6PoGgBEmowx3J7N1Nx00GciEG8E2KJVJvmiDkOQ8T0PUfNXoDU1nxWBWBXt+jPYn9EFMhKhNUaUcbytNXhkAxgOV+tP4fIoFVfinZauRJ27xZfPg88kGEjB8pmAWvr2Jk0jEusYhbKYlnFn/qUiC1+9tnM26i+SdVnnMsiVl0VdhV64xCW8TrEtTYguSMk8FqWcX2jYGyyP0sLyPVAOAiRPhBphHCD6eANQ8BsnicrEQPDDChOxCDaAdE9UNedalVidjYRMuOV7RSPQcKMV26LiQiQAxDRFSp8rfeFVXEnV+LJ8zKE7eCruiosd4Ulw4CXXhQVeZGIiJUuVMX0G1eyTziXNIyrWGrjgXw1ezbEYvDiiz3XZYqggJ5WstroI1tUhVqRNxARjdCG8LM2Ij77LQirLor6RtMtYUHYGteZEK5vMoOP+9AdqGfNthhrtnazZmsXbZ2dBAMBgoEAA3oFmbBvAxP26cWwvkECsU6o64RYE3TthvAe4TCWMiAYhAbprWuFxckhcvHdsAHRn8VkYBnpf5IOI0AbVOZV61iGdJye98EOinKIWxDxN+mjjoYpU8QPArTKIw3jMssrC6KYcZmTJ8OqlSIWVXZRZHrQwR4KqnWczV1hQdkaT0W8XN7D9B/XQX1DumVc35gah+Te4JNA7iUgXNcbIn1YvTPM3a/t4ul3PmZvNAGBEOFQkL6NERKGQcKA3R1RDGMnGAmGNEX47JSBnDR5AAN6xQTMuxshtBuCbekXDdRJNyVhNRoxYRyLQmensPL3R7TUe4fUT0xV61iONZZjtu2sYnm52jza7p69+KKwkGfOLB6M83FVWC8Mt6pU69k1jA3DYMeOHTQ2NtKrV69ipKnm5Sf/Wp8+0NICy5bar1etYOgJ7GzuChXIslVsWYRD6OmesBpzhCPpPuM6yzWhWsT1vaBxANT3Y1t3A794bDvPrdlNKBxh5vh9OWzivoxrGcR++/QnHKlLXt/eziirN2xn1fptPP3GBm5/bit/eX4Lp/1XM2cdMoiI5WsOhiG4kyQ+EhBMQMQQLuf6RuGmqKsX44jphv4kJv4mMgpRIRlVrl22jjO5euQGHaqrwnJTyK4JNcStrU20qpw61f4e56Nyh7hVohzBOJFIcOedd3L77bfz6quv0rt3bzo7O+nbty/z58/n/PPPZ+zYscVOa8WpnIXRK8tg/HgxfjtL37fyddrBQIWzBRG7KAs7C3kMqX6I60iHsDUdqTO9DupvoC0Q927GqOvLv9+NsfipdXTGAnz+iLF8/ojxDBrQX/iOk1BNPRa9GmNM7TeQqa0HcMac6bz93kfc/thb/OWFTSxf08alxw1jzICIVFu3E0gk48xCCWEhJ7vfjIt45LgF5ZhoIj0O0ZfFu6ReSrJbQja61Qo89StEMs57+I7VP4BY6959F445VoQvxu028kC6Ii+7HOXNEUccwdq1a7nxxhvZvn07GzZsYNu2bbz88svMnj2b7373u/z5z38udlq1MqiYLgoZxmphCSrTdvPZYJEpTEsObeuP6Ghni3ncCGanP2ZfE3UNwuq0GnWk9SKkgPj3L3Ry/SObGdbcj999+yjOO+kQBu07Ano3Q0M/aBwkhvp+qcFa1jgIGvozYdworv3vOVzy+RlsaYfz7nyP59YDDQOgsT/U909/EZgNT8KSJS93XBQOijC9TmA/0l9Ccl7IY7svDjtXhF20i7xMdjWtWQPhMIwciVaZ5Mgyfvjhh+ndu3eP5QMHDuS0007jtNNOoz3fX85q+VqtrbBzJ2zZYu8vViGstpmwizdW3RUybFTreD/zOFswfcjhFNDC9aZFHBFwC8p/G60n6Zowwr1Y/FwHS1Z8wpFTR3LpF2YS7tUP6vpAqF5EU6RZxlJMWiKeCmszIykC4XbmzZ7OtLHD+N4fnuTKe9fzk1NGcvDwAdL2bakGIvXCLRGLQKw+1bdFKGyCuVNc30iES+YjhFVsWcd2/mHVWlYtYju/sXxPVK1ZI8ZjxuTfi5vuMKgwOco7C8Tbtm3jr3/9Kw8++CAbNmyw3UarujR+PLzj4Pc8dpVHdm4Ku3m5gk+NrhiOiKCwOmiXmzNb/UuE68zmzVZ/mhFEOINZWff3N+MseXUHc6e1cJkM4khv4UduHCAq9er7QUN/qGsSlm7DADFvWcl1ZhRGfT+o682QffbhF+cexT4Dm7j87g95e3vQ3LbJrGFMpScUSVnHVudEVp8ZIUSzbszrzRZxoror7PJdrVyVreFMrrP33hOVeGPH5L7XTuWFq8wOUNXqi3b1IjvyyCN56KGHuOuuuzjhhBMYOnQoRx99dLHSppWn1IcgX6uhrg4GD4YPP7RfH1DGquw+iVVfsgwctVJvEIJlW835cDAFYOtPHZZlnNaGuh4RvlbXm/fb6rh56TamHjCIi8+YRahXP+GSqO+XgnCktwBvfZMAbkN/MbaGRnNdEswmrOv7Mah5CDd+40gaGuq57t8fEQ31TkZrpLXjNq34SCTlZpE7LQLhbd7HJk/U/MoUOaG6JexcFuq9sdTdCRs3Csu4mKoGC7ZYchVNUV9fz+23356cj0ajrFy50vNE1bLcfuYVs3APHizGW7dmfpizVd7J2+WylO0s5AHmvnswXRhBYVVGIqarIpKyMpMQDmHGEjcSD9Tz00e2U1cX4eLPf4pgfS/TIjYt3EjvVKMPq+FHpkYfwXBqDKmxEWPIPvtw/glT+OnfX+bOl9s4e0aTaCAS3QP13ckQiZDZriTZh7KZ9mAYQjEB4/7msFnKizCpn49mysdM+Y6yLC6N1Zfoug9h3Hi0yiRXz/5xxx3H8uXLk/ORSISpXsbD1Jj8/rnV3CzGTjqQyfY5qQI5kzsjrGwzAAGN5D/kTJBZHe8kQSZ34hBBxLbV9ebpDwxWb+ni6/PGs++QISnXRKRRjC1L2LKOLUjbDRFzG8tVkfQ194FwA3MPmcDB4/fhL8s3s6MzlGxQorbnTnbfGU5Z+ZarotPMp370DGWz87tbearmfbZ1dvPW9jt2QP/+/i+X1SpXlvHUqVM57rjjmDdvHrNmzWL69OlMmzaNvn37Fit9VaVKC+tplixj6OmWCCrjbH5Ku3V2oJH9ov0QVnEyqiCSgrA1JF0UVi1gHQKSoQb+seITBjU1cPyh41IAjjSa8DUt4khvc/uIaR1nqMALhkUzaMxzJNeLir1ArJOz5x7Ii+9s5v632vnKNLNSMByEcCKZRrn/ZOuXT6GQeMF0JkQe9JXywK7CLlPkhFx5qgLVCWA/+UREVPTuDXt0fXzJ5YoP3/nOd/jTn/7EmWeeSVtbG7/85S+ZPn16sdKmVWbZWcZOLK1MQMi0zi4KwAqK2GPOW521Jy3jIAQCposiiNQNpnBRvL8jwdubOpl/8H6Ew3Up0JqgFq4JKZLCmg/Vi/XJob7ndiFl3hxPGDWMccP78/B/dmBY5ws1pEgaFmkOSCBOuy7Er6OasAeuk9A1ebk6lmUH5107xXjAAJuVWkWXK8t4zJgxzJ8/HyA51qpeNTeLGvZPPsm9rapM1rO1Tv7kxmbbAeZ6yzIOBkl21G5ZyBaQkzSPgBWe9upHwiv66cnDUmFrkUYTuJEUlJO1gfXCXxxpTL+QUEQ0oQvEUsssSzkYFmAOdprjMEdNG8HvHniddZ/E2a9XvbkdybdMUH6ZBFNWciAorncvPS3jXHmFtD6bRZzLOt5p3ucBA2DDBm+iIXRLPOdyZRlPmDCBSy+9lO7u7mKlJ6ueeuopJk2axJgxYzjnnHOIF6upkBYAvXqJPoyd1BJme+ByAUG1AgOIroJBwClIyoJM7hNMQS2dXMLN8PbmLnrVhxk5pK8ETbNXNrmXNssitkCcXNaQsqYtYFv7RBpT1rHcai8YZkLLIAgEWbMtmqoMlP0MiMNYf6O2rgVzdTvCQmqU8gLS4ataxHYPcbYHO9O9sl66/ftn2VmraHIF487OTh566CGGDh3K4Ycfzre//W1uvfXWYqUtTYlEgnPOOYd//OMfrFmzhra2Nu68886SnLsWFUCALpEBxPlYO3af15mOkwnglnUclOGcFpohAPj2pk7GDe1LMBzpAcwklK2+iwM269UhFOm5HUigFsPo4QOBAGu2dkkgly7ctITlAUxAI6ImQBj5SLvJY3VaVT4gBtizR4z79MmyUQ45ie7R4W32cgXjP/7xj7z66qts3ryZ3/72txx88MGsWrWqWGlL00svvcSwYcOYOHEiAF/72tdYsmRJSc5dq8oGY0f7u9hWjQCwg4bdn5t7Oq0FJD/ZG2PIgEYBUGWd3fa2ncpb6+VwNrlyT22xFwzTp7GO/r0jbNoluTWCwawOXPmQuV5yTl5ednKUdeaCQu65Vv5y5TNub2+nd+/ehMNhJk+ezOTJkznzzDOLlbY0bdiwgREjRiTnR44cyfr160ty7lpVoTDOemyH61W/peyqUP+kkdooTCIBoaANojJBN3lQV49ERmXqYD7nfubYqb/WS3+shnF55arktba20tjYyNSpU5k2bRoHHnggt912G//85z+Llb6kDCN38Vy8eDGLFy8uelpqRcWEcabDJpR16l035D6CM1UZGDEShkFARVUiJirjsiYs5g7IiVjPRQYEM9HYYX5mKu098iPH9m5kJVnDuDxyBeN169axbds2XnvtNV566SUuuOACDjrooGKlLU0jRoxIs4TXrVtHS0tL2jYLFy5k4cKFyflAvuaJFgbZYezk4c8GXPUYPSxgu/3sDpiQxgmScOzXGGZ7W4f4XRKkQ1OdDoYEpC0Iyy3u5O0TsZ4dB0HqrZCIEYt2s7crRmNE3i/RIzMSNi+VXJEHThmZLZuyLQuFeqbNrVz5PbXS5DrvBg8ezJw5c7jkkktYvnw5HR0dxUhXD82YMYMNGzYkm1/fcsstLFiwoCTnrlV1d0NDg3fHswN4Jqir1rFlEVv/kEskUuPkQSwYJ2KMGVLPmk27U9A0YukQjXdJPxqNp/5tZ62PdfborS15jHg0fVra7v1NnxCLJxjTXC+2iUdFugySv+ywYGf9/QPSrXxrU0OaVvkoX7YbWce0U6ncFBrY9nKVL8uXL2fv3r3J+ebmZtatW+d5ouwUCoW4+eabOfXUUxk9ejR9+vThy1/+cknOXavasQOamiCQyTcrKdPnc6ZpdZk67DbX9caEUSL1d2V52rBoZf2ryBBwHTMoxPbdXezc3WFCNi7G8S574BqxnkBO/ny0I/VD0uQ+JsDjnWnjd9ZvByNO67710nFIG6z/4BmGdB2m8Ww17rMLHpUPoy5HWZ4PT+vrxTgarczfFlW6XLkprr32Wl5//XV69erFtGnT6OzsZMKECWzfvp1BgwYVK41JHXXUUbpjohJq504x7tcPdu7I7xh2oJCBnFC2sYad5vreiFhjIyGsYuunnol4yrIMWT+JsyzjWCeThzaBkWDpmxs4YfYAAdFI7xRgrUiIqBxtEU9BWZb8Z+h4VIA31pkOeXP84jtbaAgHGTUoDB1xE9KkWcXWXz/kazIS4nr7mNfbLeWFas1a+SbnaybfcTZXkCrrEd62LceGLqQdhc7lCsb3338/AFu3bmXFihXJYdasWXR1dfHBBx8UI41aZZLVCGDAgBSME4j2C9Z0QJpX4aoCQl2nehjkZR2ImNte0nILYBbMrJ97pv3FM5aAeJSDhgUY1CfMv15axwmHjk1Zr7HOFIQzhqpJPgMLzLFOAeJYZ8pCto5nDts/2clzb29mXmtfwonOlBUdNS8mkepYPiGD2XqxIF4+m7D/WlChbOd7l5fbvQgt2YF5kIuOobS8lyMYd3Z20iA5D5ubm5k3bx7z5s1LLmtra/M+dVWmBJXlL9uhtMiyKpjsHn7Vk2EHZNUCltfJILbW70L00xC3lsdNw1QCcSwKdVFzIwvK0T0E65s4aXIfbn1+Fyve/ZjprQ2pxh4WhGNmmFvYdDlYHQapsvzCcQnE0Q4x3bVbuD66dvP3Z94hHotyyrR+EN0ptulOpKXNSns8lroWIwHxhHBRBBFfBUlD32awg7Ocd3K+k2HeTs3NIm35NH/XKlyO2DBnzhyuvvrqHg08du/ezb333sspp5zCvffeW5QEVrP87pez3BQDB/Zcl8lvKQMik0UsL08atNJ2cXNoQ/xbNGjOJxSYRS3PgXWAKNCF+ONn125OnlRP/4YAN977H7r2tpkQbRcA7W6H7t3m9B5z+S4xrw5Rc313u9i2a3fqOFGxbPX6zSxZ9h6Hjm5ibP9Yqj/jKMLnEBfpk18mFpBjpo/W+tf6TiUfrJdRppeW6spQ812dV33L1vrBg4WLwu/lslrlCMZPPvkkw4cP59xzz2XgwIEccMABDB06lEmTJvHII4/wk5/8RFemeSS3FS9Oe+TKR5s3i/GwYZnTZffZLC9Xl8mAsLPy5GWWgdYHE9o2VmU0CtFucwMLet1ArJOmUCeLjhzMhm17uO2RNwV8k+A1gZyc3mOCdpdYJg/d7dC509xudwraUbFPtH0nP73rJRrCBt89apBY3rVbuEwsF0W3SKuc9qTLIiaSbVVW7kT6GsiQZ3I+5cr3TFKh29wM2z30F2u5kyM3RSQS4atf/Sqnn3469fX1bNu2jcbGRvr161fs9Gl5oCD51a7v3CkiKjL9ikd1M4C9JWYH3jii8MnAsT7NLWv5Y3N6MPC+uSyWwbpMdEGwDmEZh4C6vdC1m0/vX8fhY3rzt2UfMnJIXz576AQzcSYF65sgbIa6WZ0JQaq3NmtbOZoi2pG0iON7d/Gzv7/I+x/v5NLPDqW5rhM62k0gk7LYzTTHJCDHuqVrAAYiXkCW18XKD0Oal5ep+ZvJ/WPdC1l280OHwQvP97jNnqqS3HSllqsKvIMPPpiLL75YW8E1pDVrYNTo1Lz14NtFu6lWsp0/087Si0tjeehC/H5oKPABAlJ1MQGxWFS4Kaz/4MWiUGf9EiSCsI7Dewh0Rbj4yCa27Ylz/T1vEQoGmHeI+W8hC7KhhlRvbOpvldQwt0QsBeLOdq7963M88cZGPnfQQOaMDkLnDtOCNq3iDpGWeFSw3AJyzFwW7RKbNSEexvXS9VuuG9l/LIPZ7otCzXtrHmV7VcOHi07l311tszJPefGF5qTyMR9Dw49y9aJ6+umnWbp0KbNmzeKll14qVpq0XKqY1sbatbDvvuJBzfQ5bBclkamySf28jmcZx4EPEQ/1QHM+arkmuiQod4v5eCeC4B2Ifxh1dkPnJ/RK7OZn8/szrjnMT5e8weJ/vkDXrs3Q8Ql07oKO7cL1sHcrtG8Vy9ul6Y5PYO82sU3Hduj4hE0fb+Si/32CJ17fwOkzBrJwViOB7jaxbddekQYrJKQLujqg2xxHu8xrMKEcBZrNTT+i50tJzZNsLzY7d4Z8v1RZyyeYHwyF9Pulrd7C5MoyHjx4ML///e955ZVXWLRoEWPGjOG6665jn332KVb6tPKUXdRDPlqzRoxHj4Y33khfp1rI1rwa26pCQ4WMWnFn1nURRljGe4BhiL9ExzC9BREB4u6O1I89A0HoZf0Lr8PMBLqBT+jTADfMb+KXz3byf8s/5MU12/nOiZOZNnZfAuHGnpZx2oWmLONYrJv7n3uXPzz8DrFYlG8cPpjTJ4cEiNu3pkDcRfLF0G2+OKJdZpq7zPq9LnGtdYifkL5vptZy08guGxXKdi831S2hVuzZvTSt5RMmgGHAag8tY1Ua1tnluouqPXv20NbWxvHHH8+NN97I3XffzQ9/+EMuuOAC3ReEIisUzK0S+KfgWjAeO7YnjC2pD3yIdFioLomQNC1D2JqOIQqmFan2PjAF8QeMvQgXbzgKIRPE1md/KCRAV2f1w5l8U6SAfPmcfswe3YsbH9/KBbc+z4RhfZl/8EgOnjCMwf17p8LfkhcXw4hHWbe5jSfe2Mi/XlrH9t2dTNi3nh/MGcb+fbtBtYgl6zzaJV4Y3V0pCMe6JUADLea1W37xTIP1IlPzzM5ClmUXQaFqwgT44APo7LRZqVUSuYLxxIkT2blzJ4cccgiHHnoo//znP2ltbeXGG2/kzDPP5M9//nOx0qmVQ/lW0uXShg2i0/GpU8HqPlr2G6tWcLYaf7vlMnztoBxHQGosMAp4g5R1HA2noGz9PcPqdD4SQnkTCiATj/KZEU186stDuPetLu79zx6uv/s/EHiLQU31jB/Wlz696pLdb67fuoe1m/bQ0R0DDCbs28B5s4dw5P4BgsZe6DSjMVQQm26TJIhN90S3aRFHu4RbOYKooNyIaAJuBV/EpLGcF5m+KNQ8zhZpoSoUgjFj4fHHM2yQh7RZ5l6uYPzAAw8watSoHsuvvfZaWltbPUtULSlf69mt8oW1YcBLL8Ghh4o/B8diPfsaTpD6a4cFaDvXRIh0gFiDBeKouU2UlGFrLfsP8F/AcAS4QjEIdKT+IRcMp/85A8y/ZVgnN4BEN9TtEGFv4QbOnNLEF6cN4LWPDd7cFOPtLTHe2bCdzmhCtI7DYGi/emaPbmD04Dpmjgiz34CgoGxXuxlVsUf81llyS9AF8b3pfuLuLojKcO4WgJ2AGL9NekNCO59xTLoctRLPznWhglm9Z9b0+PFQVwfF7Gkgny+9fI0LL9xz5ZArGNuB2JJu9OFMpXRBeOU3fv55OPJImDIFXn01fV02v7GdVWxBOWaO48q0HElgWYchYAPCb9yCCP/qAgLdENir/IJJUUQmWQxB6Pq9IvQtuodgpA8HDYpw0D4NIjYuaDa9CIRJ634zEYVEB+zpSDWF7jYhbEVNRAFzVVeHGDrbU66Kzr0pKzkG7Iv4190bCL+4ahXL03YRJwbpjWUyhbjZVbLK92v2bDH9fJHD2rSyy5vfGgDjxo3z6lBa5AftYrkqXnxRWMgzZ/aEsSUVvgF6WmcWiFW/sQpkazpGOpTfQEQdjALeRDgegp3QHTFdFDafGEYC6hJAvXnCOlJxc/XdEN4B4aDSVFp6LHp0wZkQJ7YI2U3KKu5K9xFbIO5sT1nH3R0p98QwRAXlOlIN9WQIZ6rIk/3vsh/ZzkVh5z9WNftwePtt2L7dZqVDyWVVvQ1eGh+VavU6kWcw1qpe7dolHtZDZsJvfyuWZfIbg71FJgMkQAosqkUsuyosIFvTexHuik8hQLYR83957faWsdWrWywK9XGpd7duBJStkI1QAoLdEOpO/YQv7UDmEJUuIkbKKu6GhFRBZ7kmujrSfcbdHdAdE7uOM5Pxujm2QCy/fOLSWF6mAlp+2dmFtGWKLQbYbz8RY3zzzRk2KJOcGhXFMD7KJQ3jIqtUPmFLxbKOn38ezj5bPLgbN2b3G1tWsQwJi3F24W1W3xOWRRwl9afkkDl0mcvWIRqBDEcAbBsQSECwPZXWhJkouVc0IwGRmGgkEqxHArEyhswwtoBsUdAkqBX3HO0SMc8WgLvaUyDu3Atd3eI6DkAY6q8iXjAqhGUAJ0iHsFyZZ+WvPC8DOdtL0pq2XBTPPotWmaVh7AMVE9he+Y2feUbAeM4cuP329HWZ/MSyq0KuuLP+/mxZfhaM5XmrAq+bFOC7zeUvIwzbA8zjbweIQWI36Z21xyARFwC2Wr6FIxDqEq32QlZrvbB0UrsboV6E1CTbCquLRYUlbMU+d3elj7u6RfoPAAYAaxF+cMsqtlpOy1EUMpjl/LFzW2SKXsnlLz78cFi/XgzFkF9CNCtBGsY+Vikr+3Lpww+Fq+LYz/aEMdhbYZalFlCmZRhbILasYXm9HKHRrax7HjgU4T82gB2YEN4tgJhICFjGYxCuE9ZxNAKRetFAJBYRruGw5W8Oih9yBlU3hUmxREL4zS0AW73FRa1mzd3Q3ZkCswzizpi4vlGIxh1rgbcQAJZdFNa0DGR5sGv8EVOW2fmOZYtY1siRMHYceBmRWu6Qtkr2KWsYl0HFhmwmV4W8PB+L+d//hu9+Fz71KVjxSsoCs65FdVXILosY6Zay7L6w1qmf4jKIZUZaULaAPJoUkBNAojPlnohHoa4xBeVY1GwcEhZgDgRT4XEBKSojGCL1o1DL0paAnLSKLQvZbOLc3WH24NlphrKZ1zIa6Ae8iwhjky1iu4o7OwDL7gs7qziTZQz29/rEE8X1/Otfme54eZTJzVbJoHUiDWMtx3r8cTjvPDjpJHjllZ4GpOqqcGIdy9ZwjHRvQUBa1mWex3JXWFoOzALGIP6Qsd5Mi9FtArk+BeJIvdlSLyw6ZevuSjWllhuNqEr+/DSesrgT8ZSFnOxjoivVgVF3dyqdYxEdAb1jDjKIZYtYhrKdqyJBTwvYzirOFEEhvwjr62HeMSKGfNOmntecS7IFnMmw8MtXXaVIw7gEKnUlniqv/MZ798Ijj8D8+TBkCGzbkr4+U2Weah3HSYewZe0FSXdXQDqYoWc+JoBlwFRgBCk3wF5MCMcgFoawCeJwnQBxKJzep0VQso5VWX+mjkVJ+39dVPEdW50XWYAdDIw0r30lsJqeIJZ72bTGljUtW8eq79gOznYvwkwuirnHiM6fKrl5QDVFUoCGsW+UCdj5ujSKFVVxzz3i8/Zzn4Pf32Tvqghibx0jjS0IW7CVQRyTjifXqakvFBlALyMs4ynAJETY20bM8DgJypaf2AJxSPYZS7HKgWAKwlZ0hiFZxXJ/ylbXmJYVG0aErjUhOop/HeFCUa3frgxj1SK2c0/Ibgq7BiGq/1jV504VTd2XL7dZqVUWaRjXmAqF9AcfiA7ITzwJ7ror/a/RTvzHcqWd7K6AVDgbpFvGdi8j1epLIMLetgHTEHHIAxBui52Igt4dE+FtoU7TNWG6J0JhAeGkv1g6YcLMLOtPztZ/96z2H7FECpggGqWMMNO2ClhDuitCraizs5DVUDc1ok6GstxE2q4CD2neGh92GLS0wC9/YZOxBciJ6yKXCvEXV7pPWcO4TPJDpES+7oubb4H/nQlf/jL8+lc916vWsWwNW+4K6/zyAxyVtpO3ySYVNHFExd5+wERgPKJr448Q1qkVuxyOmf1bmOeTrWM7JSvwEj3jfa3WdEPMY+8AXkP8UFV2Pcj+YNVCjpHunlAbe1iWrzwt+43VL5FMVnEwCGefI1rbPfxwjszVykv5uiSrHsZe+UvLKT+AW9batfD0U3D8CfCPu0QFkJVGO+vYgnBcOoYccxyTtrMAZCnbdRuIeOMEohGFgQBjHHgPEce7H6Jy7wBgf0RM8naET7kTAc8AEEyIIVeYsdzysD/CEm4yt9tinncz9n1MyNZwjHTLWN5G7ZPCzk+cqeJOhbCcZoDPfla0urvhehH7nI+8sIALVbX5i6EGYOwXOanE87qir9BQtmy69VY44tPw5a/A9dellssQsOBqnV91V1hphHRQZ5Nd+FaEdBDL3XGuRnTBuQ8CzEMRAAUBwj3m0I6As+yftq4lhPhZqDX0Ms+Fuc9ahItkJ+kWs11UhF1FXSYQq2MVzHaD2gBEVn0DfOVs4Wp66KFsuVweVUNIWyHPb03AuBqsYy/lBaQ3bICHH4JjjoW//000ClGtY9ld4RS2mSwt2cKzhjApEFsWY5hUx/RRaX49wlXRgIhyGIiwbPub004eIgPROdt2hAtiB8IaVuOArWnV56vC1+lYdYuoFXmZ3BOqVXza52HAQPjZz0R8cT7KlE/ltpar4fmuCRj7VW7cD35zVRiIlnhHHgXfuQC+u0gstwNyJlcFpFvJbq0KNVrD8t/GSIHa6u8iQqrjoQ6ECyNkpqs3orKvnvSQO4NUlMcuc7DgKp8zEyxlC1l1WaiVdHEyW8JR5RxqGJsa3gY9LeP+A+D0M+C1FaIXPi/kp/LoBxX6Vet7GH/wwQeMHz8+2Xl9fX09L7zwQplTVTyVIyY5X+t4yxa49RY475tw0slw7z3pn/mWb9WaliEnW3Ix9cAZpFp8qvVnjS03hfVCsCxlq7+LMKnWfUGEq+ET7K07uwYTMoxVH64K4UxQzgRfdVq1jDP5jC0LWYWwNb/oO1BXD7/7Xep63KqY5dKND7ga/cVQATAGGDFiBK+99lpBx/CDq6IcoM3kkvAiDtlA/IrpyCPhnK/D88th8+Z0K16OQ87mqsgVPWFB1pqWYS8DyfIby/0mW9axNURJb+ln10eQHYyteQuCsnUsp0G1ZGWoZgOvDGwVxnIUhVqZl+3FBDB3ruiz+K9/Lc4PR4tZpsv9zDqVF3mgvzTKLDsgZiqAxbQI8i1MhiF8kOEwXPA9cxn2YMhmTVoWsgog9bO+WxrLsbtWHw+d0mD1+W7Nd5D8T6jttDy0m4O6TP7NnfITaPYqyzpJ739C7hhIjTu2q+zLBGLVGpZfDiqIBzfD+d+G996DP/4xdX/cSi0fugm096qIvNu4cSMHHXQQhxxySNafni5evJiJEycmB1Xl7lHKD8pW0ZJP/hiIyrs7/gQHfQqOPS61Ll8g21mFKojVPh3kH25Y8zKU5bEMUmu5DF0Z6B3K9uq+e7EHv3w+NZ3yNdg18pDzxA7EcsVdNhAbwPcvEu6Jn/5UtET0m3sC3EVRuDFeKk0Bw8i3XtU7HXPMMWzcuLHH8pNPPpkrrriCtrY2mpubWb9+PXPnzuXWW29l1qxZOY8bCAR6FKRyX6xdwbZ7I2Z6ALxo2aT6FFXlk0fhkPgLyIiR8K3z4f21PfuXUMeW2yBIuhvB8vOq82FlO7tl8rqAtD4onUc+v5rGTFIrxuQIDqshi2yxZhpipPt+7ULW5BdSISA+8ST41iK45Wb4y1+8A3Ewy/p8ymelw9gujya0trLS5R9efQFjN7r44otpbm7mwgsvzLmtH2EM5QGyWoiLAeSh+8Lvfi86FDr3G7CnTSy3A7ETIAdJRUFkAnTIZjsVzHYgtkAtp8+azpQXamWe2sjCKZCdgLdQEB94IFx/I6x+F779bYjn4eNyUk6L1QTajauu3M+0VzD2vZtiy5YtxGKiemfXrl08/PDDTJkyJe/jaVdFT7l5EWTTx5vg6h+LHt2uvDJ14Fw+5GyQytVwQnZh2LkvLHeB5caQXQgdpLsTOunppsjkg+5SBvU8qmvCzlUhX4OXIN53X7jqavHvwiuvLA2I81WhURTlBrGX8n00xdKlS/nhD39IKBQiHo9z9tlnM3fu3HInqyTKFH2RT8yxGj2hRpfYRVfkE4Hy8isifOq88+Ab34CbbkqFs9nFIGeKsrD7olGjBiwwqZaw7J6wrF67aeu67brntMsP65xg/1Kxq1STIZrJ+rWzpNVIDacgrm+Eq6+FhgZhEW/bruZsbjmBrDZqhLzMB9/DeMGCBSxYsKDcySi68gFsoSoWkP/xDxg3Dk49TTS9/fe/3QNZLuRW4wtIhbPJx7IDs7VOdlFkcpeo51Pvg114WyZrP1fYm52Va4HZsFnnBsQE4Yc/hP33h6uu8jaMLVfZLIevuNrkexhXo9zEGxfTOs53Gye6/nrxJ+kLvyf+evH44+6ArMIYUj2uWcusvLFgJ7fyUyvqrEYfKoyta1bPqSqT31j2H8svBRmidmFpuZap8M0F4gSw6Ftw8CFwyy3iB7L5qFTuCS9UTS4KqFEY+6EBiJ38YB3nu42q7m646CL4+c/hkktFWNXTTzsHsjxtnTsg7RsmHcDy/laDj6C0TIWwDOJs0QHy+SEFQDWqQoWyCmIVuJbbwm7bvEC8SERPPPRQ/j8YzRfExbaKa0U1CWM/yE/WcbHcFXv2wPe+B7/4BVx+BcTjsHSpMyDL12xta7knIPVXEBnKlitCbvpsB2Erz+ys42yyc1dkgrIK10zT2aAbz3JcOV8uvBCOO164g264wcGFOFSxQOxWfnVReP2F4PtoilpTKQqek+gJrwrG7t0CFuvWwQ+vhFmzMn/qO422sCIoEqRHWMiNJ6wICzWyQY22kFvuqRESarSEGqWR7Xhy1ES2lnXydakVeblAbATgBz8QIH7gAeEa8qo3tmKC2AtfcTVa0BrGZZSbApVp23zhnQ+Q87UEdu2CCy6AjRvhx1fDKafkBrIKKTswy1C2C4OTwSz/VcOuJZ8aOmcHeaet6OwAbBe+ZveiyfWCsvIsGIZLLxV/eL7nHrjxRhc3JIfKAWIt7abwpUrlO/bKHeFEO3eKUKsf/xjO/5b428Svfw2G6RiWXRVy2lS3hd3Y2s7OHaG6IuwiKLK9hNT8MZRxwmbaifvCKXTtlg0cCFf+CCZOEpErN91EQcr2ki2Va6LWrWKoYRj7pRLPjT/YS9+xpVxA9iq6AqCtTbgsLrgA5p8ooi1+9CPYuycVFSGHsKlAzgRjeey0ss7OV5zL8reLqJDnVQCDM/iSYR02062tcOWPoX9/4Yu///4ciXapXPlRCIi1VZxdFdcc2o3smkPL8suFu2n2nO16vH5Q7KII1OX56vTT4etfF38M+eEVsGGdWK5artmmnS6zm5bHbvLNLh+ywdOptWsHZpRtjj0WFl0gKkavvBL+8x8XCc+gbF8FXtcjVJOvONeLuyb6pnCjSoExeANkrx+WYsIYYNahcNnlEArBzf8Ldy8Ry+3if72aVo8rzzuRXT5kgqdT2OayuBsa4dzz4LgT4N134IorYOs2F4nOokyNXUoFYnAO40p4Xi1pGCuqJBiD88/CYlnHUHogDxsKl1wCkw6E118TPzfdvDk3OHMB21rnBMBuKyZzwdMNpHMd51Ofggu/D81D4KF/wy9/Cd1RlwnOIKdWsR9AnGnbcknD2KVywRgq4waXE8jFhjFAMACf/zx89WuischNv0n9vTgbPN2AOtu8elw7qdebyUJW53MBN9P+ffoIa/jYz8KWrXDjz8W/67zMd20V5y8NY5eqNBhDbVrHIK5n//1FuNboMfDG6/CH38E776TWW3ICZrtl2bZxIycgtluWbT952ezZoh/igYPgXw+Ijpf27i0eiMHfVnElPKOqNIwVVSKMwX9AzgRjdV2hCiD8x2ecAV/4IjQ2wpNPwK03w6ZN6dtZygURN9s6kZuvBrdfGNOnw1fPgQmt8PHHcMP1YP36sRwgVtflIw1jF8fVMPaf/AZjKB2QQVxX//7wla/ACfMhkYB77oY77hBhcOq2spwAt1DguIVsrvyaOBHO/hpMmy5aLP71L3D33cJlY7d9IdIgLlwaxnnICYyhcm54LQEZxLW1tIgQuMNmQ0cH/PtB8UfqTZvctyJ0Cht1u0zXls1lk8udk0D8jeMLX4CZh4pr+79/wN//7r1LwlKu6/ebeyLTtuWWhnEeqnUYZ9rHqXIBt5SWzKRJcOaX4JCZYBjw3DK491545ZXUNqVq4u0EJpnyqrERjjoKTj4ZRo0W1u+998Bf/iqajRdDTsqStoqdyWl50TBWVMkwBv9bx3brM23nlUaMgFNPhblzxd8sPv4YHnsUnn0W1q5N39ZpXuXrM5aVLV8CAWEFH3ssfOZIke7Nm8XL5MEHRcvEYshpdI4GsXNpGOcppzAGf958N+AoJ5Dttsm1faFqbBRAPuEEGDNGLNu8GZYtFWB+803ha5aVz5eFnZy4Lfr2hf/6L5g5E/7rYGhqEn06P/ec6OryxRfJu4e1XCo0RLKYTZ41jLMcW8NYyK+Z4Ed3hSU/QBlg6FARDjZ7trBAAwFhbb71JqxaBW+/LULk9kiVf150diNfa3OzeCmMHy8aarROFOno6hKulOefFy+JUroiZGkQFy43LGnVME5XICCyr5KB7FVDkEz7OJVbd0S5KmT69xd9Js+aJaIU+vdPrdu4Ed55Gz76CLZuhW3bxHjrVgHvbPkTqYcBA8TxBgwQPaeNHCkAPHqMsHwtffSRgO/y5fDGGxD1qMVcJrn9KnJTptwonxexhrF0fA3jlPyaEV65K7Lt51R+t5JVNTfDhAmit7Px48XQq1fP7WIxUZkWjwv3hmGIacMQreEaGnruYxiio6M1a4S/es0aMezYUfzrAu8gnGl7N9IgFrLSnw+Ma7YLTTsF8GdhMOhZGBLYP0B22zrZz6mC2D9E1jkNZVvrnHbblyKvLcv32WdTy3r1EpBuboYh5njwYIhEIBjsOezZA598Ivpk3rEDPtkp5j/6SLghyiG/NJ0H70Bc66oJGOcCVKWqnEC2jqMqE5TLCWRVe/fChx+KwU5O44zLJS9A7AWEIT+oVlJMMZTuy9qre1I18iu0/WhhBHHuLsnXrVIOGcrgJ7kJV8vk3ioViP2Wd/molOWzZmDspmD4ERBulet6vYR4pgfcDshehZfVovKNG860XSHKF8SVZhU7lRfprxkYV4O8LuBeW9WFhE9pIGdXISD20hqG2gFxqctkTcG4GqzjYgDZaytZlQZyYXIKWK/jhu2kQdxTXl2Db2Dc0dHB3Llz6d+/P3PmzElb19bWxvz58xk7diwzZsxg1apVJUmTX+FQjALvJyD7Nd9LrWx+X7ttnWxXiLwGsVa6fAPjcDjMpZdeyp133tlj3c9+9jMmT57M6tWr+fGPf8w3v/nNvM/j1zexW/ndAikUGLUM5WzXXk0g9uuzWA6rGHwE40gkwpFHHkmfPn16rFuyZAnnnHMOAMcddxzvvvsu27dvL0m6KhEIfvchO63Yk7evxPvgRrmu003lp19A7PU+pVA5y5lvYJxNGzZsYMSIEcn5lpYWNmzY0GO7xYsXM3HixOSQSX4tCG6V7Tr8DGTIr6IpYDNUotxcRzYI+x3EfvlKK5a8vo6SNvo45phj2LhxY4/lJ598Mtdcc03Bx1+4cCELFy5MzlvNoe3kpiGIX1vmQfbrKKRRCBn2zUduWu2p580Fg0oFcjblyvdShK5B7YG43GWppDB++OGH89qvpaWF9evXM2rUKEBYysOHD/cyaTlVqUAuZJ9CW+rJygRkyAxlaz81TdWofAHsdH+3qjUQu1UxrqUi3BQLFizg5ptvBuDBBx9kzJgxDB48uODj1kLhKLQCpRSNQyw5cT0ElaESpV6DF3nipWoRxOW2isFnfVNMmTKFjz/+mN27d9PS0sL//M//cOaZZ3LRRRfxpS99ibFjx9LU1MQdd9xRlvT52TqGzNZuNgu31BYy0rFyWcqWsuV5tnSV24rOJ8/cQKEYL6NaBLFbFet6aqILzZzbuThmJWRWPj5FJ3lQTEvULTgLuQ/Fjql2I7cWWbHugZM8qVYQF+P5111o5qlq69WtUixkWW4q7aCwntXK5d7Ip4yVIq21DGI/ScPYpfzuqrCUDciQX5RFrv29Uj6Vdn7s9tKv8JVVLBBXivz0VaxhbKrarGMoTthbrv2LoUqCcyUAGJxDNF8Q++Fl6KVKcT0axpKcgqhSrGPIH8hk2U/enwzHKKbcujSgeHCuFPhacmPJVlMTZzv5zfjSMM5T1Q7kXPupxyDLcYqpfMAMtdk9oraG81OprssPZcRXqsUC5dUDVm7/oR9jj/2QJjfdpNYKiEv1KyU3Knc58aWc3gC/febkUqmA7Bcol7Nwl/v84P5eaBCXV9pNUaAqyV0BhbksyLKvm2OVUvm6MQo9V7nlFYRzHauSyr5blfraNIwzqBqjKyzlAjIU7kd2cqxSy2sw++W6ZHndeKbaQOxH94QlDeMsqsboCktOem7z0komy/HKIT+lxQuVEsJO9vej/G5cVVuZLJv8fqPtZFBYQH+u/e2OV25/cjXKrUtCgzi7ynV9GsY5VA0/Mc2lXEDWUPanvKygk49Z6DH8pkoAMWg3hSNVS0f02VSI20I+BjmOox4TB8fVSimfl1itQhgqy0DSMC6CqhnIUDwoOzl2rapcEHZ6HD8qnx8ulFMaxg7lNrqikoEM5YGyfGwnx6925evKqXUIQ+WBGDSMXalWgAzlh7J8fCfnqBYV4kv38s8tlVpuobJcE7I0jIusSgYyeNutZr5Qls/h5DyVJC8qMp2Wr2q3hiG/suWXa9Ywdql8GoNUA5DBH1CWz2OpkuDsVRSJ132GVHL5LER+um4N4zxUza3zsslvUFbPZ8lvcPYyjE9DOLMq0U8sS8M4T9WS/1iVGyg7AaOcL1685MoN52LEUGsIZ1elgxg0jAtSLQMZvK3kc3NMt7KDkxeALnbDFbdlpRYq5+xUDSAGDeOCVetAhuL8O89ra1mVX1sA5lM2ahXC+cjPeaBh7IFq1Ycsq5i/alIfoGrK60LgoCFcOU2dnUjD2CPVQpNpJ3L7qyZw7zKwy7tKAbQX993r/igqVdUEYtAw9lQayELlaA7tN0B7fW+97iKz0lVtIAYNY8+lgZxSuZtD58rbQmBd7PtW7JZ4laxK+QpyK9+EZHZ0dDB37lz69+/PnDlz0tZdddVVDB06lGnTpjFt2jR+8pOflCmVzlQL3W66kdsuNi0llMFrGQUMXsuLay1W2vykaomcsJNvLONwOMyll15Ke3s7v/zlL3usX7hwIZdffnnpE1YCVbuFbMnrlnfgI2vCpcrREq/SVc0gBh+V5UgkwpFHHkmfPn3KnRRP5LYgBKgNKxm8tTJVi9JvHdcXI33FtND9qmoHMfgIxrn0hz/8gSlTpnDKKaewevXqcifHkfIpELUCZFnFcAFkgqAXUHR6bC+t31oEMORnpFRqHpXUTXHMMcewcePGHstPPvlkrrnmmoz7nXvuuVx22WVEIhHuuusu5s+fz9tvv91ju8WLF7N48WJP01yoarFjoUJVyrhiP1nRUNv3XVUl98CWlwyf6cknnzSOPvrorNvss88+xrZt23Iei8LqaDwdAnkO5U63X4d889NvQ7nz0a9Dpedla2ura/ZVhJvio48+Sk4/+eSTRCIRBg4cWMYUuZeR53616LZwIrsnwO+qxDSXWvnWnVRDXvommgJgypQpfPzxx+zevZuWlhb+53/+hzPPPJOLL76YFStWEAqFaGpq4p///CeBQOVhyiC/glbrbgunypRHpSwp+j7lr3zvU7XkecD8nK9K+RXYtV7otLRUVdsz0draysqVK13tUxFuimpTvp+o/ny1aGkVpmoDcb7SMC6jNJC1al0axClpGJdZGshatap8K+qqEcSgYewLaSBr1ZpqNWIimzSMfSINZK1akQaxvTSMfaR8gayhrFUp0iDOLA1jn0k3DtGqRtVyYw6n0jD2oQoBsoaylp9USJmsJRCDhrFvVUhB1EDW8oP8/CcVP0rD2McqFMgaylrlUKFlrxZBDD7rm0Krp6yCmW/hlver1UKuVRp58fKv5TKqYVwhyreTIVnW/rVc4LW8l4awN9JuigqSV62PtPtCywt55QrTIBbSlnEFSlvJWuWUVy9zXfbSpWFcoSrUl2xJQ1nLjbQlXDxpN0WFy6uCrV0XWtmkXRLFl7aMq0DaStYqpjSESyNtGVeRtJWs5aW0NVxaaRhXmbyMuNBQrl3pSrrSS7spqlReRFyAdl3UmjSEyycN4yqWV75k+Rj6Ias+ef0FpMtIftIwrgF5ZSWjHEc/dJWrYrigdHkoTBrGNSIvrWRL6rH0w+hfFdv/r+994dIwrjEVA8qWNJz9o1JVvup77J00jGtUXrouMsnu+Prh9V7liHrR99F7aRjXsIppJWeStp4LVzlDDvX9Kp40jLXKAmVLukLQmcod863vTfHlm0Yfjz76KDNmzODAAw9k6tSp3HXXXcl1bW1tzJ8/n7FjxzJjxgxWrVpVxpRWr7xqMJKvdEOTnip3npS7TNSUDJ/o1VdfNdavX28YhmFs3LjRGDJkiLFlyxbDMAzjsssuMy655BLDMAzjX//6l/GZz3zG0TFJlSU95DEEfDCUOw9qNe/Lff2VPrS2trpmoG9grGry5MnGG2+8YRiGYUyYMMFYu3Ztct2wYcOMbdu25TxGuW9INQ0aDtWfx7WSz6UY8oGxb9wUspYtW0Z7ezutra0AbNiwgREjRiTXt7S0sGHDhnIlryZllbJyKUD1ujDKfW0yRbTKp5JW4B1zzDFs3Lixx/KTTz6Za665BoB169bx5S9/mTvuuINw2F3yFi9ezOLFi5Pz4XCYsWPHFpZoD/XJJ58wYMCAcicjKZ2ezPJTWkCnJ5f8lp733nvP/U6ubekiavPmzUZra6uxZMmStOV2boqtW7fmPF4+nwrFlE5PdvkpPX5Ki2Ho9ORSNaTHN26KtrY2jj32WL7//e+zYMGCtHULFizg5ptvBuDBBx9kzJgxDB48uBzJ1NLS0iqKfAPjX//616xatYpf/epXTJs2jWnTpvHcc88BcNFFF/HGG28wduxYLr/8cn7729+WObVaWlpa3so3jT4uu+wyLrvsMtt1/fr144EHHnB9zIULFxaaLE+l05NdfkqPn9ICOj25VA3pCRiGoStRtbS0tMos37gptLS0tGpZGsZaWlpaPlDVwdhvfVx0dHQwd+5c+vfvz5w5c9LWXXXVVQwdOjRZYfmTn/ykrOkpdx8gH3zwAfX19cn8OOSQQ0p6fktPPfUUkyZNYsyYMZxzzjnE4/GypMPS/vvvz6RJk5L58p///Kek51+0aBEtLS094v4vvvhixowZw7hx41iyZEnZ0vLUU0/R1NSUzJ9TTjmlJGkBWL9+PUcffTStra1MmjSJSy65JLnOdf54HmBXZhWjj4tC1N3dbTzxxBPG/fffbxx99NFp66688krj6quvLnoanKanHPkj6/333zdGjx5d0nOqisfjxujRo4233nrLMAzDOO2004zbbrutrGnab7/9kmW6HHr22WeNjz/+2AiFQslljz76qHH44YcbsVjM2LBhgzFixAhj9+7dZUnLk08+2aMsl0offfSR8dJLLxmGYRhdXV3G7NmzjXvuuSev/Kk6y3j69Om0tLQAMGzYMPbZZx82bdoEwJIlSzjnnHMAOO6443j33XfZvn17UdMTiUQ48sgj6dOnT1HP41TZ0lOO/PGbXnrpJYYNG8bEiRMB+NrXvlYyq8+vmj17Nvvuu2/asiVLlnDWWWcRCoUYPnw4hx12GI888khZ0lJODR06lBkzZgBQV1fH9OnTWbduXV75U3UwllUJfVz84Q9/YMqUKZxyyimsXr26rGnxQ/5s3LiRgw46iEMOOYQ///nPJT039MyDkSNHsn79+pKnQ9X8+fOZNm0al112GdFotNzJ8V0+vfLKK0yfPp0jjjiChx9+uCxp2LFjB/fccw9z587NK398E2fsRsXu46IY6bHTueeey2WXXUYkEuGuu+5i/vz5vP3222VLTymULW1XXHEF69ato7m5mfXr1zN37lwOOOAAZs2aVbL0GT6M9Hz22WcZMWIE7e3tfOUrX+GGG25I802WQ37Kp4MOOogPP/yQvn378tZbb3HsscfyzDPPcMABB5QsDd3d3Zx66qksWrSICRMm5JU/FQnjXG++LVu2cOyxx3LDDTdw2GGHJZe3tLSwfv16Ro0aBYi3+/Dhw4uenkySP7dOP/10Fi1axPbt2xk0aFBZ0lOs/JGVK23Nzc0AjBgxgpNPPpnly5eXFMYjRoxIs2DWrVuXdHuVS5aF1bt3b84555y0zrDKJbt8Ovjgg8uSlr59+yanJ02axGGHHcarr75aMhjH43G++MUvMm3aNC688EIgv/ypOjdFJfVx8dFHHyWnn3zySSKRCAMHDixbesqdP1u2bCEWiwGwa9cuHn74YaZMmVKy8wPMmDGDDRs2sHLlSgBuueWWHuWolGpvb6etrQ0QD/2SJUtKnid2WrBgAbfddhvxeJyNGzeydOlS5s2bV5a0fPzxx0lLdOPGjSxfvpxJkyaV7Pxf//rXaWpq4uc//3lyWV75U+zaxlLrmmuuMRoaGoypU6cmh2XLlhmGYRg7d+40jj/+eGPMmDHG9OnTjTfffLMkaZo8ebIxePBgo76+3hg+fLhxxx13GIZhGF/+8peNAw880Jg6daoxe/Zs48UXXyxresqVP5aWLFliTJo0yZgyZYoxadIk44Ybbijp+S09/vjjRmtrqzFq1Cjj7LPPNqLRaFnSYRiGsXbtWmPq1KnG5MmTjYkTJxpf+9rXjPb29pKm4etf/7oxfPhwAzCGDx9ufPOb3zQMwzC+//3vG6NGjTLGjBlj/P3vfy9bWn79618bEydOTD7vf/rTn0qSFsMwjKVLlxpA8jmeOnWq8atf/cowDPf5o5tDa2lpaflAVeem0NLS0qpEaRhraWlp+UAaxlpaWlo+kIaxlpaWlg+kYaylpaXlA2kYa2lpaflAGsZaWlpaPpCGsVZNqru7m8MOO4y9e/d6crw9e/Zw2GGHJVsQamm5lYaxVk3qjjvuYN68efTq1cuT4/Xp04ejjjqqLD3NaVWHNIy1qlonnXQSd955JwB/+9vf+PSnP01XVxe33347p556anK7E044gWXLliXnR4wYwe7duwE466yzOPfcc/nMZz7D8OHD+b//+z+uuOIKPvWpTzFp0iS2bNkCwOc+9zluv/32El6dVlWpuC23tbTKq9dff92YMGGC8eSTTxrTp083duzYYXR3dxv9+/c3EolEcruWlpbknxi2bNlijBkzJrlu2rRpxkUXXWQYhmHce++9Rr9+/Yxnn33WMAzRv8idd95pGIZhxGIxo1+/fkYsFivV5WlVkbRlrFXVmjJlCpMnT+ass87innvuYcCAAWzbto2+ffsSCAQA0VtcY2Nj8u8nr732GlOnTgUgGo3ywQcfcNVVVyWPOXfuXGbPnp2c79evHwChUIjevXuzY8eOEl2dVjVJw1irqrV27VrefPNNQqEQ++yzDwCNjY10dnYmt1mxYgXTpk1Lzr/00kvJ+VWrVjFx4kQaGxsBAWq5f+XXX389rUvLzs7O5LZaWm6kYaxVtdq6dSsLFizg1ltv5aijjuJ3v/sdAP379ycSibBr1y5AwNiC89atW7nllls48MADAQHb6dOnJ4+5YsWK5Hx3dzebN29m5MiRAGzfvp2mpibf/O9Qq7KkYaxVldq7dy8nn3wyP/7xj5k5cyaXX345N9xwA+3t7YD4p9wTTzwBCMDW19czZcoUzjrrLKZPn85tt90GCBjLVvNrr72WnF+5cmXy/4oAjz/+OPPnzy/J9WlVn3R/xlo1qbfeeotLL72Ue++9l3HjxrF06VKGDBlS0DGPP/54brzxRsaPH+9RKrVqSdoy1qpJTZo0iQULFrBr1y46OzsLBvGePXs444wzNIi18pa2jLW0tLR8IG0Za2lpaflAGsZaWlpaPpCGsZaWlpYPpGGspaWl5QNpGGtpaWn5QBrGWlpaWj6QhrGWlpaWD6RhrKWlpeUD/f9V9LOq7hRcswAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "u2.beam_width_4s(has_draw=True)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "u2.beam_width_4s(has_draw=True)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": ".venv (3.12.3)", - "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": "3.12.3" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": true, - "user_envs_cfg": true - }, - "toc": { - "base_numbering": 1, - "nav_menu": { - "height": "66px", - "width": "253px" - }, - "number_sections": true, - "sideBar": true, - "skip_h1_title": false, - "title_cell": "Table of Contents", - "title_sidebar": "Contents", - "toc_cell": false, - "toc_position": {}, - "toc_section_display": false, - "toc_window_display": false - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": true - } - }, - "nbformat": 4, - "nbformat_minor": 4 + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.13.0" + }, + "latex_envs": { + "LaTeX_envs_menu_present": true, + "autocomplete": true, + "bibliofile": "biblio.bib", + "cite_by": "apalike", + "current_citInitial": 1, + "eqLabelWithNumbers": true, + "eqNumInitial": 1, + "hotkeys": { + "equation": "Ctrl-E", + "itemize": "Ctrl-I" + }, + "labels_anchors": false, + "latex_user_defs": false, + "report_style_numbering": true, + "user_envs_cfg": true + }, + "toc": { + "base_numbering": 1, + "nav_menu": { + "height": "66px", + "width": "253px" + }, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": false, + "toc_window_display": false + }, + "varInspector": { + "cols": { + "lenName": 16, + "lenType": 16, + "lenVar": 40 + }, + "kernels_config": { + "python": { + "delete_cmd_postfix": "", + "delete_cmd_prefix": "del ", + "library": "var_list.py", + "varRefreshCmd": "print(var_dic_list())" + }, + "r": { + "delete_cmd_postfix": ") ", + "delete_cmd_prefix": "rm(", + "library": "var_list.r", + "varRefreshCmd": "cat(var_dic_list()) " + } + }, + "types_to_exclude": [ + "module", + "function", + "builtin_function_or_method", + "instance", + "_Feature" + ], + "window_display": true + } + }, + "nbformat": 4, + "nbformat_minor": 4 } From c35ba934bc8a91821cfa614b6fd9e4850b866586 Mon Sep 17 00:00:00 2001 From: Ekaterina Bolotskaya Date: Tue, 24 Mar 2026 11:29:10 -0400 Subject: [PATCH 2/2] WPM symmetry fix --- diffractio/scalar_fields_X.py | 2 +- diffractio/scalar_fields_XY.py | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/diffractio/scalar_fields_X.py b/diffractio/scalar_fields_X.py index ea2d661d..cc0eeed0 100644 --- a/diffractio/scalar_fields_X.py +++ b/diffractio/scalar_fields_X.py @@ -1802,7 +1802,7 @@ def PWD_kernel(u: NDArrayComplex, n: NDArrayComplex, k0: float, k_perp2: NDArray Ek = fftshift(fft(u)) H = np.exp(1j * dz * csqrt(n**2 * k0**2 - k_perp2)) - return ifft(fftshift(H * Ek)) + return ifft(np.fft.ifftshift(H * Ek)) def WPM_schmidt_kernel(u, n: NDArrayComplex, k0: float, k_perp2: NDArrayComplex, dz: float): diff --git a/diffractio/scalar_fields_XY.py b/diffractio/scalar_fields_XY.py index 93a9f2b7..156fbec4 100755 --- a/diffractio/scalar_fields_XY.py +++ b/diffractio/scalar_fields_XY.py @@ -3234,7 +3234,7 @@ def PWD_kernel(u: NDArrayComplex, n: float, k0: float, k_perp2: NDArrayComplex, Ek = fftshift(fft2(u)) H = np.exp(1j * dz * csqrt(n**2 * k0**2 - k_perp2) - absorption) - result = (ifft2(fftshift(H * Ek))) + result = ifft2(np.fft.ifftshift(H * Ek)) return result