{ "cells": [ { "cell_type": "markdown", "id": "8ae667f0-fb0a-4489-bedc-372dd332b5af", "metadata": {}, "source": [ "# Overview of the routines in `biosspheres.quadratures`" ] }, { "cell_type": "code", "execution_count": 41, "id": "9505efce-734f-4834-bc50-7e5f61bd2ca9", "metadata": {}, "outputs": [], "source": [ "import biosspheres.quadratures.sphere as quadratures" ] }, { "cell_type": "markdown", "id": "3c428a2a-787d-4a0e-a2a4-c61146dd80eb", "metadata": {}, "source": [ "This module has the implementation of functions that return\n", "- Points and weights for doing the Gauss-Legendre quadrature with a composite trapezoidal quadrature rule on the surface of a sphere. See `sphere.gauss_legendre_trapezoidal_2d`, `sphere.gauss_legendre_trapezoidal_1d`.\n", "- Evaluation of real and complex spherical harmonics in the points of the Gauss-Legendre and composite trapezoidal quadrature. See `sphere.gauss_legendre_trapezoidal_real_sh_mapping_2d`, `sphere.gauss_legendre_trapezoidal_complex_sh_mapping_2d`.\n", "- Arrays for implementing a slow spherical harmonic transform (real or complex) on the surface of a sphere. See `sphere.real_spherical_harmonic_transform_1d`, `sphere.complex_spherical_harmonic_transform_1d`.\n", "- Translations from a coordinate system to another. See `sphere.from_sphere_s_cartesian_to_j_spherical_2d`, `sphere.from_sphere_s_cartesian_to_j_spherical_1d`, `sphere.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_2d`, `sphere.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_1d`." ] }, { "cell_type": "code", "execution_count": 42, "id": "bb126cba-9756-47fd-8564-5ad810872aab", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm, colors" ] }, { "cell_type": "markdown", "id": "9711ba2c-8470-41ca-8147-eea4fc4dcb39", "metadata": {}, "source": [ "## Preliminaries" ] }, { "cell_type": "markdown", "id": "aa44ad39-a4c6-47d3-beda-1a228a9b0f75", "metadata": {}, "source": [ "### Spherical coordinate system" ] }, { "cell_type": "markdown", "id": "51ef67e4-b466-4c41-a91c-c300d60efcab", "metadata": {}, "source": [ "A vector is written as $\\mathbf{r}=\\left(r,\\varphi,\\theta\\right)^t$, with $r \\in [0,\\infty)$, $\\varphi \\in [0,2\\pi)$ and $\\theta \\in [0,\\pi]$, which in Cartesian coordinates is equivalent to $\\mathbf{r}=r\\left(\\sin \\theta \\cos \\varphi,\\sin \\theta \\sin \\varphi,\\cos \\theta\\right)^t$. The unitary vectors of the spherical coordinate system can be written in Cartesian coordinates as\n", "$$\\begin{aligned}\n", " &\\widehat{\\mathbf{e}}_r= (\\sin \\theta \\cos \\varphi , \\sin \\theta \\sin \\varphi , \\cos \\theta )^t, \\\\\n", " &\\widehat{\\mathbf{e}}_\\theta=(\\cos \\theta \\cos \\varphi , \\cos \\theta \\sin \\varphi , -\\sin \\theta )^t, \\\\\n", " &\\widehat{\\mathbf{e}}_{\\varphi}=(-\\sin \\varphi , \\cos \\varphi , 0 )^t.\n", "\\end{aligned}$$" ] }, { "cell_type": "markdown", "id": "6dabe530-432b-49ce-8754-483ad5ad2e8f", "metadata": {}, "source": [ "The gradient operator in spherical coordinates:\n", "$$\\begin{aligned}\n", " \\nabla f&=\\frac{\\partial f}{\\partial r} \\widehat{\\mathbf{e}}_r+\\frac{1}{r} \\frac{\\partial f}{\\partial \\theta} \\widehat{\\mathbf{e}}_\\theta+\\frac{1}{r \\sin \\theta} \\frac{\\partial f}{\\partial \\varphi} \\widehat{\\mathbf{e}}_{\\varphi}\n", "\\end{aligned}$$" ] }, { "cell_type": "markdown", "id": "e1369f81-160b-4b91-b788-269171d35258", "metadata": {}, "source": [ "### Spherical harmonics" ] }, { "cell_type": "markdown", "id": "511a7184-0f61-42f5-9cc6-0b43e925185f", "metadata": {}, "source": [ "#### Associated Legendre functions" ] }, { "cell_type": "markdown", "id": "aab00f4a-a678-4cb8-abc4-9f614f8adbc4", "metadata": {}, "source": [ "$P_l^m$ are the associated Legendre functions of degree $l$ and order $m$ defined as:\n", "$$P_{l}^m\\left(x\\right) := (-1)^m \\left( 1- x^2\\right)^{\\frac{m}{2}} \\frac{d^m}{dx^m}P_l(x), \\quad P_{l}\\left(x\\right) := \\frac{1}{2^ll!}\\frac{d^l}{dx^l}(x^2-1)^l.$$\n", "\n", "Here, the term $(-1)^m$ is the Condon-Shortley phase factor." ] }, { "cell_type": "markdown", "id": "88d6d4a1-2724-4905-8e0e-3e15ba1f238c", "metadata": {}, "source": [ "#### Real spherical harmonics" ] }, { "cell_type": "markdown", "id": "01781be5-9634-4560-90f0-382466153ba6", "metadata": {}, "source": [ "Real spherical harmonics of degree $l$ and order $m$ are defined using spherical coordinates:\n", "$$\\begin{aligned}\n", "\t\t Y_{l,m}\\left(\\theta,\\varphi\\right) &:= \\sqrt{ (2-\\delta_{m,0}) \\frac{\\left(2l+1\\right)\\left(l-m\\right)!}{4 \\pi \\left(l+m\\right)!}} P_l^{m} \\left(\\cos\\theta\\right) \\cos m \\varphi ,\\\\\n", "\t\tY_{l,-m}\\left(\\theta,\\varphi\\right) &:= \\sqrt{ (2-\\delta_{m,0})\\frac{\\left(2l+1\\right)\\left(l-m\\right)!}{4 \\pi \\left(l+m\\right)!}} P_l^{m} \\left(\\cos\\theta\\right) \\sin m \\varphi ,\n", "\\end{aligned}$$\n", "with $l\\in \\mathbb{N}_0$, $m\\in \\mathbb{Z}$ such that $0\\leq m\\leq l$. If $m=0$, then $\\delta_{m,0}=1$, and it is zero otherwise." ] }, { "cell_type": "markdown", "id": "77e0cb5a-dd22-497c-979c-36e10fe5f2e1", "metadata": {}, "source": [ "#### Complex spherical harmonics" ] }, { "cell_type": "markdown", "id": "1c99e277-9eaa-489e-8c2b-62496f8b33a8", "metadata": {}, "source": [ "Complex spherical harmonics of degree $l$ and order $m$ are defined using spherical coordinates:\n", "$$Y_{l,m}\\left(\\theta,\\varphi\\right) := \\sqrt{ \\frac{\\left(2l+1\\right)\\left(l-m\\right)!}{4 \\pi \\left(l+m\\right)!}} P_l^{m} \\left(\\cos\\left(\\theta\\right)\\right) e^{i m \\varphi},$$\n", "$$Y_{l,-m}\\left(\\theta,\\varphi\\right) := (-1)^m\\overline{Y}_{l,m}\\left(\\theta,\\varphi\\right),$$\n", "with $l\\in \\mathbb{N}_0$, $m\\in \\mathbb{Z}$ such that $0\\leq m\\leq l$. If $m=0$, then $\\delta_{m,0}=1$, and it is zero otherwise." ] }, { "cell_type": "markdown", "id": "6c335e15-a7ad-49d0-96fc-936f08db3b2c", "metadata": {}, "source": [ "### Reference systems in a geometry with $N$ spheres" ] }, { "cell_type": "markdown", "id": "00f42e99-b13a-41e0-b485-b7c24e8fead1", "metadata": {}, "source": [ "$N$ disjoint spheres in $\\mathbb{R}^3$:\n", "- Position vectors of the sphere centers: $\\mathbf{p_j} \\in \\mathbb{R}^3$, with $j \\in \\{1,...,N\\}$. \n", "- Radii: $\\tilde{r}_j\\in \\mathbb{R}^+$, with $j \\in \\{1,...,N\\}$.\n", "- Interior of sphere $j$: $\\Omega_j:=\\{ \\mathbf{x} \\in \\mathbb{R}^3:||\\mathbf{x}-\\mathbf{p_j}||_2<\\tilde{r}_j \\}$.\n", "- Boundary of sphere $j$: $\\Gamma_j:=\\partial \\Omega_j$.\n", "- Exterior medium, $\\Omega_0$: defined as $\\mathbb{R}^3$ without the spheres and their boundaries." ] }, { "cell_type": "markdown", "id": "08bf17db-4b3d-45a8-b5c9-f2824d870b7d", "metadata": {}, "source": [ "Let be $j\\in \\{1,...,N\\}$. We define the reference system $j$ as the one centered at $\\mathbf{p_j}$ with the same orientation that the reference system centered in the origin." ] }, { "cell_type": "markdown", "id": "1da8500a", "metadata": {}, "source": [ "Suppose that we have a vector written in cartesian coordinates of the reference system $s$ ($s$ an integer indicating the origin of the coordinate system being the same than the position of the center of the sphere $s$), we will call it $\\mathbf{x_s} = (x_s, y_s, z_s)$. We want to write this vector in the cartesian coordinates of the reference system $j$, for this we can write\n", "$$\\begin{aligned}\n", "x_j = x_s + (\\mathbf{p_s - p_j})_x,\\\\\n", "y_j = y_s + (\\mathbf{p_s - p_j})_y,\\\\\n", "z_j = z_s + (\\mathbf{p_s - p_j})_z.\\\\\n", "\\end{aligned}$$" ] }, { "cell_type": "markdown", "id": "37eccfd2-ecf6-40d8-9065-f0338d67c6ce", "metadata": {}, "source": [ "## `sphere.gauss_legendre_trapezoidal_2d`" ] }, { "cell_type": "markdown", "id": "9f919763-6130-402b-bcb8-eb21a1b928f7", "metadata": {}, "source": [ "This function is for obtaining the quadratures points to approximate numerically the integral in a surface of a sphere. In this case they are given in a two dimensional array (three dimensional if we add the dimension needed to represent a vector). It returns the weights and vectors for the Gauss-Legendre and\n", "composite trapezoidal quadrature rule." ] }, { "cell_type": "markdown", "id": "dc3152db-639d-4af0-9133-b72381f71d8f", "metadata": {}, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 43, "id": "fb0a5863-f50e-403f-a905-6484da4742c9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " It returns the weights and vectors for the Gauss-Legendre quadrature\n", " rule and a composite trapezoidal quadrature rule to approximate\n", " numerically the integral in a surface of a sphere.\n", "\n", " Notes\n", " -----\n", " Gauss-legendre quadrature in theta. This one uses the package\n", " pyshtools for obtaining the points and weights.\n", " Integral on theta are (big_l_c + 1) quadrature points.\n", " The weights returned correspond to the integral on this variable.\n", "\n", " Composite trapezoidal rule in phi.\n", " Integral on phi are (2 * big_l_c + 1) quadrature points.\n", " This function does not return any weight for the phi variable,\n", " because it is a trapezoidal rule equally spaced.\n", " The integral in this variable can be solved using the fast fourier\n", " transform.\n", "\n", " Without considering errors produced by the approximation by finite\n", " numbers, the quadrature must be exact for functions consisting in\n", " polynomials of big_l_c degree times an exponential power to (m times\n", " i), with |m| <= big_l_c.\n", "\n", " Parameters\n", " ----------\n", " big_l_c : int\n", " >= 0. It's the parameter used to compute the points of the\n", " quadrature.\n", "\n", " Returns\n", " -------\n", " quantity_theta_points : int\n", " how many points for the integral in theta, (big_l_c + 1).\n", " quantity_phi_points : int\n", " how many points for the integral in phi, (2 * big_l_c + 1).\n", " weights : np.ndarray\n", " of floats, with the weights for the integral quadrature in\n", " theta. Length (big_l_c + 1).\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors of the quadrature points.\n", " Shape (3, quantity_theta_points, quantity_phi_points).\n", "\n", " See Also\n", " --------\n", " gauss_legendre_trapezoidal_1d\n", " pre_vector_2d_init\n", "\n", " \n" ] } ], "source": [ "print(quadratures.gauss_legendre_trapezoidal_2d.__doc__)" ] }, { "cell_type": "markdown", "id": "5855b4da-9943-42d7-a5de-7ba1f9132c53", "metadata": {}, "source": [ "We use the points used by the library SHTOOLS to be able to use fast spherical harmonic transform that the library provides. See [Grid formats shtools](https://shtools.github.io/SHTOOLS/grid-formats.html)." ] }, { "cell_type": "markdown", "id": "424d9bd7-07b3-4cbc-98c0-872347cf124d", "metadata": {}, "source": [ "This function needs only one parameter `big_l_c`. Without considering errors produced by the approximation by finite numbers, the quadrature must be exact for functions consisting in polynomials of `big_l_c` degree times $e^{im}$, with $|m| <=$ `big_l_c`." ] }, { "cell_type": "markdown", "id": "108f7a50-3706-4c90-abc6-afc33a08de0c", "metadata": {}, "source": [ "See the section notes of the dosctring for more details." ] }, { "cell_type": "markdown", "id": "1ddb6f16-0ed4-4d5a-b38d-84d1714557e6", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 44, "id": "bc13f1a5-8ade-4b6f-b779-668a806f33a4", "metadata": {}, "outputs": [], "source": [ "big_l_c = 15\n", "quantity_theta_points, quantity_phi_points, weights, pre_vector = quadratures.gauss_legendre_trapezoidal_2d(big_l_c)" ] }, { "cell_type": "code", "execution_count": 45, "id": "60da4e6a-a7f8-4721-af76-b13f276ba787", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "big_l_c : 15\n", "Quantity of points for the quadrature in the theta variable: 16\n", "Quantity of points for the quadrature in the phi variable: 31\n" ] } ], "source": [ "print('big_l_c : ', big_l_c) \n", "print('Quantity of points for the quadrature in the theta variable: ', quantity_theta_points)\n", "print('Quantity of points for the quadrature in the phi variable: ', quantity_phi_points)" ] }, { "cell_type": "code", "execution_count": 46, "id": "dcc00bad-e49c-4001-8738-4bd65a2b53de", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gauss-Legendre Weights:\n", " [0.02715246 0.06225352 0.09515851 0.12462897 0.14959599 0.16915652\n", " 0.18260342 0.18945061 0.18945061 0.18260342 0.16915652 0.14959599\n", " 0.12462897 0.09515851 0.06225352 0.02715246]\n" ] } ], "source": [ "print('Gauss-Legendre Weights:\\n', weights)" ] }, { "cell_type": "markdown", "id": "d59098ae-23e2-47b9-ae11-aa143efc0831", "metadata": {}, "source": [ "Quadrature points are given in the variable `pre_vector`:" ] }, { "cell_type": "code", "execution_count": 47, "id": "db258a1d-5961-4fb7-a4a9-93b4c926cb91", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vector = pre_vector\n", "fig = plt.figure(figsize=(4,4),dpi=75., layout='constrained')\n", "ax_1 = fig.add_subplot(111, projection='3d')\n", "ax_1.scatter3D(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", ")\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "ax_1.set_title('Quadrature points')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "50862c6c-1547-4c4c-b149-2b20fbe23563", "metadata": {}, "source": [ "## `sphere.gauss_legendre_trapezoidal_1d`" ] }, { "cell_type": "markdown", "id": "09486f5a-efd0-4423-bac9-62fb51004f53", "metadata": {}, "source": [ "This function is almost the same than `gauss_legendre_trapezoidal_2d`, with the difference that the vectors are given in an array of one dimension (two if we add the dimension needed for represent a vector)." ] }, { "cell_type": "markdown", "id": "72a5e566-e069-49c8-a778-d0996ad65647", "metadata": {}, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 48, "id": "2c91cf9f-3699-4833-a42e-7aed7305c27b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " It returns the weights and vectors for the Gauss-Legendre quadrature\n", " rule and a composite trapezoidal quadrature rule to approximate\n", " numerically the integral in a surface of a sphere.\n", "\n", " Notes\n", " -----\n", " Gauss-legendre quadrature in theta. This one uses the package\n", " pyshtools for obtaining the points and weights.\n", " Integral on theta are (big_l_c + 1) quadrature points.\n", "\n", " Composite trapezoidal rule in phi.\n", " Integral on phi are (2 * big_l_c + 1) quadrature points.\n", "\n", " The weight for the variable phi (which is the same for\n", " all points) is considered in the return array total_weights along\n", " with the weights for the theta variable and the jacobian of the\n", " surface integral.\n", " The ordering of the arrays given by this function is not suited for\n", " fast fourier transform algorithms. The returns of this function is\n", " for using the simpler algorithm for obtaining integrals on the\n", " sphere.\n", "\n", " Without considering errors produced by the approximation by finite\n", " numbers, the quadrature must be exact for functions consisting in\n", " polynomials of big_l_c degree times an exponential power to (m times\n", " i), with |m| <= big_l_c.\n", "\n", " Parameters\n", " ----------\n", " big_l_c : int\n", " >= 0. It's the parameter used to compute the points of the\n", " quadrature.\n", "\n", " Returns\n", " -------\n", " final_length : int\n", " how many points for the surface integral,\n", " = (big_l_c + 1) * (2 * big_l_c + 1).\n", " total_weights : np.ndarray\n", " of floats, with the weights for the integral quadrature and\n", " length final_length.\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors of the quadrature points.\n", " Shape (3, final_length).\n", "\n", " See Also\n", " --------\n", " gauss_legendre_trapezoidal_2d\n", "\n", " \n" ] } ], "source": [ "print(quadratures.gauss_legendre_trapezoidal_1d.__doc__)" ] }, { "cell_type": "markdown", "id": "4e5c935b-27bd-4824-aadd-144d8fa49913", "metadata": {}, "source": [ "See the section Notes of the docstring for details related to the weights that this function returns, and for more details." ] }, { "cell_type": "markdown", "id": "0c7bc953-36b6-42df-89e2-ab9807798fa1", "metadata": {}, "source": [ "The returns of this function is for using the simpler algorithm for obtaining integrals on the sphere." ] }, { "cell_type": "markdown", "id": "bf77bbff-df27-4a16-bb63-876ccb42e62e", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 49, "id": "a522998a-2055-4972-a4ac-d669b19b2a8b", "metadata": {}, "outputs": [], "source": [ "big_l_c = 15\n", "final_length, total_weights, pre_vector = quadratures.gauss_legendre_trapezoidal_1d(big_l_c)" ] }, { "cell_type": "code", "execution_count": 50, "id": "fa8b7d31-baad-4ec1-a90c-2ccfa44b1f80", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "big_l_c : 15\n", "Quantity of points for the quadrature: 496\n" ] } ], "source": [ "print('big_l_c : ', big_l_c) \n", "print('Quantity of points for the quadrature: ', final_length)" ] }, { "cell_type": "markdown", "id": "96175b16", "metadata": {}, "source": [ "In `pre_vector` the quadrature points are saved." ] }, { "cell_type": "code", "execution_count": 51, "id": "be79c323-a75d-4261-9e54-5978c2b053ea", "metadata": {}, "outputs": [ { "data": { "image/png": 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S1EXAUnufDMPg6NGjKIrC3r17p+k9LQXnu7r3UsZU0mpoaMAwDBKJxDTS8nq9VnrodruLpPUSQ5GklhlLHQyOxWJkMhn8fj+NjY0XdNHOpTG1EF5KkdRCEAQBn8+Hz+ejsbERwzCIx+NEIhE6OjpIp9P4fD4URSGVSi3KWed8j2Mu0kqn0wwMDNDS0jKNtC7WKuZLHUWSWiYsdTDYMAz6+voYGBjAbrdfMEHB3JHUfIXz3/UnuSAI+P1+6yGg6zrxeJxQKMTp06fJZDL4fD6rpuV0Oi86aWmaRiQSWTDSKpKWiSJJLQOWWhzP5XIcO3YMu93Ovn37ePbZZxdcgVsMfh9qUhcKURQJBALY7Xa2b99ukVY4HObkyZNks1n8fr9V01rsyupSUOiyn0pCi0kPf19Jq0hSF4Dz6X0qyPquWrWKmpoaYO7WgaXifMZiftcjqYVQIK1AIEBzczO6rhOLxQiHw5w4cQJFUfD7/VZNy+l0XvA+ZxsFOp+a1u8LaRVJ6jxxPr1PnZ2dTE5OsnPnzmkGnss1mvJijLj8rqOglRUMBmlpaUHTNIu0hoeHURSFQCBgkZbD4VjyPgoR93woktZZFEnqPKAoCslkEofDsSiCSqfTtLW1EQwG2bt376xP0dlkfs8HK3F2b6VhKZ9XkiSrXgVmPSkajRKJRBgcHERVVYvUznXimW//SyWU32fSKpLUElAojofDYbq7u9m+ffuC7xkdHeX06dNs2LDBkuc9F8uV7i3Xdn7XcSHnSJKkaaYWBdIKh8P09/ej67rlxBMMBmclreVQfvh9Iq0iSS0SU4vjkiQtGPlomsbJkydJp9Ps3bt33rSgGEm9uFiORYoCziWtqU48fX196Lo+TR/eZrNdFHma32XSKpLUApitOD6XC0sBBVnfmpoaNm7cuOANcbEL50XMxMVaMJjqxAMmaUUiEcLhsGVqUXhgKYpyUZx4YGHSGhsbs8aIVjppFUlqHsxVHJ+LpAzDYGBggN7eXrZs2UIgEFjUfpYrklqpelIrDcsZSS0EWZZnOPH09fURCoU4fPgwcPGdeGAmaY2Pj+Pz+SzSMgwDSZJWZKRVJKk5oOu69eWd+wXPRlKKonD8+HEEQeCyyy5b0sW2nKt75/OeIkm9eLDZbJbcTGtr6yVx4gHz+pZleU7fQ8Mw+M1vfoPX6+XlL3/5RTmGxaJIUudgMYPB55JUOBzm+PHjtLS0UFtbu+QboJjuvbi4lCQF0wvnCznxSJI0jbSWSx9e07Rp25otPSyULC41iiQ1BYsdDC6QlGEYdHV1MTY2Nq+s70IopnsvLlYSSZ2Lc514stkskUjEMrVYLieehYr3giCQTqfP+5peThRJKo+lDAYLgoCmaRw4cACv12tZmp8vfh8jqUt5nItpplwp+3c4HLM68YyOjs5w4gkEAou+DjVNW/C1yWQSj8ezqO1dTPzek9RSB4PBlPXNZDJs2LDBeuJdCC5mJDUxMUF3d7c1jzbbhXypCONSEsWl3Pf5NHMWMJsTTzgctpx47Hb7NPuwhaKl+VDQ5rrU+L0mqaUOBuu6zunTp4nFYrhcrmUhKLg4YzGGYdDR0cHk5CSrV68mlUoxPDzMqVOncDqdlJaWnvdYx0sdKyHdW66CuNPppKamxqodFZx4hoaGOHny5AU58RRJ6hLifAaDk8kkbW1tVFZWsmfPHp566qllO57lTvcKDjM+n489e/agqip+v5/q6mrL6CAUCtHT00MikUBRFAYHByktLb0oU/8rDSuBpC7W8n7B1KKmpsb6riORyDQnnsV6HqZSqWkzppcKv3cktdTBYDgr67tp0yZrhms5sZwd54qisH//ftasWUNVVdUM8hOEs0YH9fX1KIrCCy+8gKqqllRJIBCwIq3zVQldCJeyJvW7TFJTMfW7PteJp+B5OJ8TTzKZLBbOX2zM1/s0G1RVpb29HU3TZliaL+dNthyRlGEY9Pb2kslkuOqqqxb9BCzU4ZqammhqarKm/kOhkDWLVkgXLmaz4YuJlUBSl2L/BdJyOBwMDQ2xe/duUqmUNcIz1YlnYmJiyenee9/7Xh588EFGRkasFp5z8dhjj3H33XeTy+W45ppr+NKXvrTgNbUyWkovMgrRUzabBUxSWOgiiUajPPfccwSDQbZv3z5jfGE5V9IuNJJSFIVDhw6RTqdxuVxLCtHPPQ+Fqf9Vq1axe/duduzYQTAYJBQK8cILL3Dw4EG6urqIRCIXHP1dKqK41CR1IYXz5UAhkhME04mnvr6ezZs3s2/fPlpbW9F1nXvuuYeDBw/yJ3/yJ/z7v/87vb29C273jjvu4ODBg3P+XdM07rrrLr73ve/R0dFBIpHgvvvuW3C7v/Mkpes6qVSKQ4cOLSp6MgyDnp4ejh8/ztatW+eU9V1ofm8puBDCK5BpdXU1mzZtOq+bb759F5oN165dy969e9m8eTMul4uhoSGef/55jhw5Ql9fH/F4/CXV/nCpI6lLSVLnNnIWIAimqUVzczM//vGPaW5u5p577rGi9IVw1VVXzWtiu3//furr69m0aRMAd911Fw888MCC233px+5zYGpxvOAgshhZ36NHj+J0OhdlaV5QRLhQnE+6ZxgG/f39DAwMTGskvdjKnA6Hw1pNMgzDShcKHnher5eSkpIFi/DFmtSlJanFaPCLosiOHTvYuXPnsux3YGCAhoYG6+fGxkYGBgYWfN/vJEmdWxyXZXnBm2JycpL29nbWrFlj9aDMh+WOpJayLVVVOXbsGKIosnfv3guuE50vYWgGRBQJ2V/Opro6BLBMDk6cOEFfJIvs9LKmtpSW2oqLVoRfKlYCSV3q/S/m4XoxHiTnjt4sBr9zJLXU4riu63R0dBAOh5dsab5cJLWUSCoej9PW1kZjYyP19fXLYt4wH0ZiGbom0jhtIltqfciiQCyjklY07n2qn66JJOGkgt8lc8uWKl69uYqyahefeS7OidEcTilJSXuS1zUPIIkgu7y0VJdwZEzlwGmFE8YAt26tIuC6OJIls+FSk9SlrkktJpIqYDnPU0NDA319fdbPAwMD1NfXL/i+3xmSOp/O8VQqxdGjRykpKWHPnj1LunCWUwWzMGazEAYHB+nu7mbr1q34/f5l2TecnYAvHEsBx4bifPbXXeRUHUmApnI3um5weizJeCKHTRRw2UUmkwrDsSxfjPbxXG+UyUSWY8MJHLJIKmuQygl8+aSEzyljaElGnwrjs+nYRYMTz/Xyq/ZRPvuGjVT6XSiazv7eCJNJhdqAk50N/mUnlEtNUpc63VtMJLUUIlssdu/ezeDgIO3t7WzcuJGvfOUr3HbbbQu+73eCpBYzGHwuoYyMjNDR0cGGDRssgbKl4MUsnGuaZjmXnNsKsRgsdFM+O6Lx1W8dQ9UNrl5dwms2VWIYBv/8yBm6J9OIgoAkQFcohdchU+6xEUsr6AYYBvhdMk6biCjAydEEiYyKLApkVR1NM0gpBkJapTrgQBRkBuMKkZyIpusIos54Msmb793P7escnIjJDMQ13A4bogCv3FDBW/fULSup/L6T1FyF86lIJpNLbuT80z/9Ux566CE0TaO+vp7XvOY1vOtd7+IjH/kIDz/8MJIkce+993L77bdbLQh33nnngtt9yZPUUh2DCzd8Npu9IEvzFyvdSyaTHDlyhNraWpqampb95nqiI8RjAxpNlQKSDl98so//eqIXv1NmPJ7D55CxySKqphPPaHhtMoORLDZJJKuZnz+V07CJYJdlkhmVnKaTUXR0w0ASwdDBAEJJhXKPHQGDlKLjlMFAwADiKnzlWA7NyGIXwSllaA3K/LRtiCubfdSX+fjFyQlOjyUo99h5zeYqStznlyKuBJK6lPtfTJR0Pt3mX/ziF2f9/cMPP2z9+/rrr6e9vX1J233JktRS0ztBEIjFYhw7doza2trzXq4v4MUonBeiveXodNd1nV+fnuTbB4ZIKzqXtwT506ua2N8XQRZAN6BtMEYqpyGJEM9o6AakFI2ALCJJ5vlVDQPdMLDLIinFPOacZpDTIKUoCPltFTA1i+0Pp9HzZKwbJnnlDANZFNCmkLTDJpPTdLpiBoaR49MPH6crohLOgtsuUe5zcKA3yj/evA6fc+mX8EogqZWe7q2UuT14iZLUUgeDC4TW1ta2JFnf+XAxIyld1zl16hTJZPKCor2peK4nwv99tJtoRkUU4JsHUownsozFFXpi0J+MkFXNkEcSRByyQFoBTTfIqqZ2lt8hkVN1wunZu4mN/P/YRchNOTVC/m+qDr2hDAJgkyCrgSyBzykRSim4bRJpRUfTDTKqTloBh03iwJiOqguUukQUzWAyliabTvPT505w7fpqwpodUZRoLXfjkBe++S81Sb0UCufnk+5dLLykSOp8BoMVReHYsWPouj7DlPNCcLEiqXQ6zZEjR6ioqGD9+vXnfTOlcxptg1FUzaC1zMGjpycJpxU8dhlRFJAUjZ+3jxNw2pAEAMOKgFx2EZskIIsCsiRQ7rGR03TiGZXoLAQlAjrgkCCngSia4ZQkmG0KxjmvEwBFy/9eN8goOkGnjaym480ToaaDQxao9tsZiWZQNINwWsdlExEkCafThi47+cdHuhiIZsmoAi67zB/sruZ1Oxtw2Oa+tFcCSV3qSG6hB18qlVoRc3vwEiKp8xkMLsj6tra2WmnhcuFiFM7Hx8c5efIkGzduPK9ivmEYtE9qHHmsk0dPT6DpBjZRwCGLlHvtGIZJIIqmE0mrqLqBoin4bSDbZFRNQdVBVXVyqoDPIfOnVzUSSuX46jMDZLXZ62aiCLp+low0zTCjp/wvCpFU4WxNPWtavvjeVOrkzHgKLc+UDllgU42PSFoho5q/U3WDRFZDFnUagk6GUiJhxYYhCaSzCrGkyn89NcDhjkHeuMlLeVmZ5Yhybn/OpSQJuLR6VostnBfTvSVgqb1PU2V9d+zYgcfjYWRkZNlIBZafpMLhMLFYjD179uB0Os9rOz88PMxD3Ro5aYTReBavXWJdtZ9oOkc0rSAKAsmMQjxr1ptskgCGQSQHHnRcdomMolMbdNJc5uauKxppKHHyyv98fk6CApNkHLKAphmUuGSSikaJTSKSUbEJAopuWEQ1GxI5jWRO47KWIA5ZIpPT2N8XZSKpkFM1DAMkAQTBTBkNzeDqVaWcGksiCBDLargdMqqmI0sCZ9I2DicDrJdzhMNdpFIpfD6fNSi9EkjqUmIxNbFUKrViZHtWNEmdT+9TJpOhra0Nv98/TdZXFMVF9SItFstFUplMhlOnTgEsuVdrKlI5lfue6zNTYt3AKUtkNYOxeBavw6zl3H1NI//v8V40w4xunDbz9zlFR9FMkrq8JUilz8E/vGoNgiDwP0/1Ec3MXoMSALsscGVrCdevK6ehxEXQZcPvlBiN5fjvJ3pw2yXGEjlGolmGYlkMY3ayOjWWYnudn4Dbbm18LJ5lIqnjsZs9VhOJHDYRDAy+8uwAbptIRtPJG42haGYtK5ZWefDoBC6bxHuva8IZEOmcjGEfilMxPEw6ncbpdOJ0Oud0Gf5dRjGSWiYstTgOMDY2xqlTp1i/fr3lvlHAYlyHl4LlIKnCKE59fT2JRGLx+tS6Qed4kqyq01TqwmmT+NhPT9E9mQYdDCFnvW4okkYQoLXMjd9lw22XSeU0REEgo+g4ZBGbCC3lbjZWeylx2xiKZlF1A5sk8MiJ8VmPwSHBxhofN22o4G2z9DGVeexcvbqMg/1RWss91AScXGUXkUWR/90/NOs2eybTbMuTlEMWeefljayucPM3D55gJJqlkEMKgoBuGOQ0A69dZiKZwzBUJNGM5pw2kWq/g5ymc8/DZ6j1O6zju2lDNVc1qGQyGWKxmDU4O1WOZrkcWebCpR7EXmwkVSSpOXA+xfHCalgikZgzXVruSOpC5FUK6ej4+Di7du1CURRisdii3ptTdT7/6w6ODMYQBXDbZa5ZXcbx4RhBp0w0peGwSUTT5vnzSiJehxmJ/ODQsNnTJIlkVR1RgIyi47XBrsYATllkNJ6judSFLd9yEJsjitrTGOQVmyp55caKWb8fQRB4/fZqaoNOeiZTlHnsXLWqFLddYn9PmFPj6RnvmUznGI5m0AyDoMvGnqYAAZeNf7p5HR/84UkGo2lUzSSiwqrjFa1BRqJZJElgPJEjnFJoLfeYhJXTCScVanwOKrw2JFHkVycnWOvxURvwUldXB5iLK+FwmImJCTo6OrDZbNaQ9FIld18KWEwkVUiRVwJWFEkViuOHDx9m1apVi1pdSCQSHD16lKqqqnlXw1ZKJJXL5Whra8PtdrN3715EUVySzMljp8Y51B+lJuAwB3xTOb73wgCaDo1lbjqVHIpuIAoCe5oC1AXduO0C4/EchwdipBQNSRAQBBBEgYaAk5tqc/SnVAzDoK7EyZt311n7awg6GIpmZxzHk90RcppBbcDBjoaARWpTYZNErmwtYVONj4yi8YsT43zxyT6GYzO3JwBv3FFLmceG0yaxvd5vzfOtq/Ly4Veu5n3fO46img8awzDbGA4PxNlW7+evb2ilZzLFZ37VhSwK6LrBydEUOc3g2HAcaVRgV0MASYRkbnozpc1mm2YjVTA3KEjuulwuS6n03CL8UrES6mGLjaRWgucerCCSmlocNwxjQQIwDIPBwUF6enrYvHkzwWBw3tdfjJrUUrcXiUQ4duwYq1atmnYBLEVPqtAQeXQoTiqnEc8o6LpZVNZ0g0oX4HQSTalU+hwE3TZUTWU0lkUWBUTM1xmYBeg37qxhtTHIH+1cQ1bV8TllxCk30R/sa+C53uOzHsvzfVFe+OZRnHaJljIXayo81AadOCQRSRIYjmY5PBCleyJFMqfPWTgHs/B+67Zq3HaJrKoTTSvEM6rVrLmnKci6Sg8vDMSs7ag6RDMK16wupcpnp8pn59Zt1fy4bYSxeJacpiOLmFGVbvBCf4xdjQEq3CLHR9N842gHmmFww7py9jUHLfKYam5QkKMpOAxPLcKXlpYueZHjUnebw+IjqWK6l8dsxXFZluclAFVVOX78OIZhLHqW7VJGUgXRsKGhIWu1cSrmSx3TOY0jg1Fyqs66Kh+VPgd9oXR+eFdF1QwEAcrcDoajaYJ2g2afzN/csoaHjo0yFM2gqhrVfgf94bQ5hmKYlXNBEEjmdI5ENFozKhW+mc4x164uZWO1h/aR5KzHpxqQyGocG0pwdCiBmL//BPJd5Ys4PwLw/utbcdslBiMZvvvCEKmcBgjcuL6Mfc1mt73fJZvFesn8DJoBPqfMazdXWjf+H+yt4zWbK/mbB47TPpzELosksmbKqmg67766iZ7BIb5+JIbX5QABjg/38OfXNHHVqtKZx5ZXr/R4PDQ0NKDruiVH097ejqIoloVUSUnJgtfipW7khCJJLQlzDQZLkjQnSUWjUY4ePUpTU9OSpEou1epeoZlUluU5hfTmmt1LZFQ++tMT9IbSiALYJZF3Xt6AzymTyqlWXclllynx2HDYRNZ5Ff7pzZvxu51srvUzEEljaBpBl8SrvrAfIz9Pp+nmiMtjZyYoE3TCz/Tz9svqqfZPjwwEQeBLb93K7fceZCSem/NzFo5eX2JNWBLg9dureeueOhRN53svDCMAtQEniqbzyIkJ6oJO6gJOBiNZdONsH5bTJuCxywiCQE7VsUnmNVTitrGm0sOxoQSyYC4AZBQDWTKbVB/vTWKXBYJuG9G0Qk7V+eb+Qa5sLVnwehJFkUAgQCAQoKWlBU3TiEQihMPhRRXhL/VIzGKPoUhSeRTSunOL47ORVEHWd3h4+LwszS9FJBWLxaYR6lyYLd0zDIMfHBqkeyJFTcBcnYqkFb5/aJhV5W7sssBvTocwMMipGrph1qFqfSK6bqbMfpeNjS4buVwORdPxOmTSOZWMalgNlZ3jKepqTZJ5uivCbdtnCv4FXDb+7fZNfOhHJ+gLZ6YR0Wz9T/mG8zl7owrftEuGv71pNbdtN1PfRFYjkVWpC5pEaZNEBMzB5EP9MfrDJlkXti+JIuUeG//1RA8j0Rw+p8xt26tpLXfz7qubea47Sk8ohaab+wy4ZD70k1PUuMzosz+cZjyRQ9UNQqkc3zk4xB27apeUjkmSRFlZmdV8u1ARfiWke4uJ5opjMXnM1ft0Lklls1mOHj2K2+1eUNZ3LoiiaK0YLgfmIynDMBgYGKCvr4+tW7cuuEpy7rZCyRz//Xg3j54cJ5pRsUkCFT4HHrtEJK3wxp113PtkD7phoOTTve6JFGsqvXRFc3zykQ4ayjy8ZXc9ZV5zSV8WBdZWejg2FEPAsIhC03UOjMCrqsxeq7mwvsrD7TtqOT4c58RInIFIFgEz5SowkYE5+jJfec0mCgRdMm/cUcUGe5jrdtRaf3PZRGRJIK1ouGwSen6Y+ehgjP9+so+cdnY4GSCr6tQFnYRTKnVBB4msxjf3D/Ln1zRR6rHzlTu3cusXD+KQBQIusyA/mcjh8QsMJXRCacVMHQWBGr+Dbx8cIpZRee2WKmoD59dQO1sRPhQKWUV4h8NBNpslkUhccBH+YqIYSS2AqSQ1MTHByZMnLR+5C9lmJpNZrkOck6QKNli6rrNv375FSfueG0l98fFuTo0mqPY7iGdVekMp7HlplPVVPl6zuYrPP9pJpc+BIJjkkMioSCL4HSJ1QQfj8Sz37+/nPde2Wtv/yKvX8NavHMZAp3BvKBpMavDAoRHuvrZ5zmO0SSJv3l3L0cEY0UwFPodERtV5oiNE+0iC4WiGdE5D0Q1AwCmLpBUNhyzilEWaSl3saAjw6s2VNJa4MDSF9vbotH04bRI3b6nih0dGCKOg6WYf1JefGTClX3STkF12CZskUO6xIwoCFXki9jllYhmVkViWUo8dt13G65DwOGQUTSeV08wVTJ+NNVVuvtsWxmkTCThl+sMZcprBj4+O8URnmH+6eR2NpRfece10OqmtrbV87yYmJujq6lqWIvzFRDqdLs7uzQdJklBVlVOnThGJRNi1a9cFt+i/GDWpRCJBW1sbdXV1c7rMzIaphfORaIaHjo2SU80cxSmJJHPmjbexxsfd17WiaAZ2SaTELaMZoOsGmXyh2Smb+6zyOxgMZ4hnVdz5b7k+6OJNu2r47gvD2CUYTyhW9GOXRb76bD9uu6kmsKN+piKmQxbZ3RSc9rtrVp+dMSwUqHOqTkrRqMoX4mdrT8jO8VVsqvFR6bXz0LExvvvCMGOJHAYQdMlMJhUM3SCd0/B47fzhvnoOD8RQdVPuxchHXgUlBIcssq3ez8+Oj+clZAxkUWQ4LrLOJ7Ch2ovXIdE2GMfA7MCvCTiIpVW+f2iY91/fgmaYUehyQBAEnE4nXq+XTZs2XXAR/mKi2HGex1w3saZp9Pb2UldXd0GjIlOxnLN2s22v4HJ8PlIwUwvn//V4NylFwy2LCKLZFV7mdXD9unKuX1eB1yHhtktsqvHydFeYdE7DwGxBWG2TADO0yqk6gkj+hj17nH+4r579vRE6x83VOkkU8NsMS5Tu/z7WjSQKvGpjBX/78lVLSke8jvzl5ICZ62TTMdtCQcd4kq6JFJGUwlef7UcSRQQMcqpBPKNS6bUTTSvIksA/3ryOy1tKcNslnugIYZMEcprB+ioPTWVuax/dEym8DglFM1DyD6nBuIo2mqbS5yKSVohnVQSgscSFTTSL6ydGEtz9nWPkNIOdDX7ecVkDbvuFd6JPrUkttghfWlpKIBBYlk74xba6FFUQ5sHw8DA9PT0Eg0HWrFmzbNu9WIVzTdM4efIkmUzmvLSfhqMZeiaTdEc19mk6RwdjNJS4zDEQwyCn6YRTCkORDN8+MEiFb5w/v7aV69ZV8Nszk4CBJAq47TLDsQw2j4YSSSNKMjdvrcZpk5iYCCPLMm63G79T5r/fsoX7nx/kq88O4LGL5LI5whkVwzAjKlGAnxwd47meCLGMxuoKNx959RqCLhuhVA67JFLhtS+KwFTdyPdJqZS67dNSqETOoDeUptrv4CdHR/mP3/QgimYBXdMNKrwSXqeNbCJHRtHRHDoeh8w7L6vn8hazLeHl68tpLHExEssSdNvYVOO1Ih9FM5hIKlT7HOR0g4lELj9OAzU+O6GcznuubeanR8f4TcckLpuEqulMJHJIksD6Ki9+SWR/bxRREPizq5uW9N3OhvlW1s4twudyOSKRCGNjY5w5cwabzWY1lZ5vJ/xi2g/ALFtcykhuKi45SRXqJaqqWjre69evJxQKLet+5mtrOB8UCvHPP/88VVVVbNy4cclF0IO9Yf79sS50wyASURizd+F3yqRVnZZyN6mcxmAkTWOpk5YKM/QeDKd54swkXeNJgm4bAafNDJ4Mg0hK5bpGB1U1ZbRWl9Ba7ubUqVOEw2FzmT6XIxgMUlpayh/uraE3lOaprjCZ/GnxOiRTJVM3iGdVFE3HbZc4OhTnT+5vo9xrp2syhSQK3Ly5ir+8voVkVqMvnKbEbbOKzYZhkMxp2CWRX5wY59RYklhaYTKpsLc5wJ1767n/wDD/83QC29OHrZ4vu83cvyRoZDWDVM6saQVdMomcRkuZm1duqpy2AikIAuurvayvnvnUPzOWIJFVmUzmzEK8bqpZeQvPEcNMRf/kqkY0w+CJzhCTiRxpRTc72sUU66u9VPrsvNAfXZZu8aX0Sdnt9mlF+HQ6Pa0T3u12W5GW2+1e1LEtpv2g0FC9Uor6l5yk4OxSfX19PY2Njcti4X0uljvdC4VCRKNRdu3aRWnpQsnNTCiazhd+243HIeG2y5COsr8nRGOpm2e6QsiSiNsm4nHIbK496wzjtEmEUznKvQ5zFU2AjKIxETdrNyMJiVuaAzgdNg4cOIDf72fHjh2AeYFGIhEGRif43rNn8OTg+iYX2VSOx4Zl7Pl6ViZ/k7rsEpIo4BRgMJphOJZFEk1N8m8eGMQAHjo2hm4YqPnu9Vu2VPI3D55kMJJBFgW21fnwOWUePT2JgKkQ+tszIU6NJpAEc7UvnrfIqsinU06bRDKnk8hqZBQdURR452X1vPe6lkWf395Qmr9+8AR2SSSjmK0NogCVXjsVLoHRhEpThZdqvwObJPL+61vxOWR+1DaKy6YzmcwxGMlgkwTqSly47dKy3LQX0iflcrlwuVxWET6ZTBIOh+no6CCdTuPz+axIa64i/GIjqZVCULAC+qR6e3vp7+9ny5Ytlk1ToXC+nFiuwrmu65w+fZpoNIrX6z0vggKzyJxVdUo8Z9PDnlCavrB5Y2QVnc21PjbV+Dg9liTgMpUzE1mN1nIPW+sDPNI+Rl8oRShpEpTfaeP7p9Joti6uLImzevVqqqurLTUJSZLwBUo43JEm67ER9MNYJIFdNHhTq873Og10XUTTDVx2Ma/YaULVwSmbNSyArGI2QDplCbssIonwvReG+OnRUZI5Dacsomg6z/ZEEABJEhAFAV3TaRuMm82Y+R24bCKpnEZW1XHaJLKq+f6WchdSvjlzb9PCdT7dMIvqdlnk6c4QOcUg6Lbhc8pkFY20qnPHrlp6BkdZW+vhdTsbphX1Dw/GkESIpLX8goRO10QKl03i3Vc3ntf3POMYl6mZs2CJ7vV6rU74WCxGOByetwi/2EiqsI+VgEteOJckacZS/XKnZoVtXmgklclkOHLkCKWlpezYsYODBw+e97b8ThtBt43u8QSxjEYkYZDSVFrL3ficNjTd4MxYkve+bBUG43SMJUAQuGZNGZe1liKJAl/6g+188IHjPNMVIuC24ZBEEimFB46O8+737sM/S3/WaDzLRCJHXT41C3qcHDgZ565X7uCWyzOc7B9HTcX4wuEM4ZyKKAgIoklCTLloDbBqWIAp/aIbZDMqXrv5XcqSiKGYM3s2QbAaMAtmDIb1/6ZksZifP1R12NMU4Lo1Zm1mIpEjNtdyYB6hZI4ftY0yGMnQM5kipWhkVA2vkY8G7RKaAW/YUcNAIE5jY8UME4eA08aRZAxZFChx2UhkzR61y1tK2NUY5N6n+ni6K4xNErhtezWv2DC7AsR8uFjNnKIoEgwGCQaD04rwoVBoWhHe6XQuSFK5XG5FaWxd8nSv8BSYiotBUhcaSU1MTHDixAk2bNhAeXk5mqadly5QVtFM1UyHzI3rK/j0L84gCgKqYXKAkm9YlETBGoz9k6uaiWVUZEk4u4KGuZrWUOLiOcHsk4pqGpIBuihy77Mj1AQi3Lq9Ftsi7glBEGiuLqW52owM9+1I84XfdNI9kaDGqZHVZX47oJHLd1LaJRFBEKYt/8uiucJW6H4XAIfNlIVRVN0aSzEQqPbaGIqmyeRHe/7iuhZuWl9OXzjD8eEYoZQZSWu6QUrR5m2u1HSDH7aNMJFUeLwjRCSt5MnOQItnCbpsKJrBVatKCLhs9M9Rb/nDfXX85vQECcXsI7NLIjsa/PicEvc9P8ivT01Q4bWj6gZff26QgFPm8talRdIv1ljMbEX4cDjMyMgI0WiUF154Yc4i/EpqP4AVQFKzYSVFUoZh0NHRQSgUmqZVdT41rq6JJP/8s1PE0io6UOG1s7cpiNMu0z80wumY2VFe6rETzyg4bRL1JS5E0Zwzmw2VPgeqboChIYkCCQUk0eA7BwcRBYGftI3wxbduwZFPrap8Dsq9doZjGbwOs/mxwi1Ses72K/wuPnrLZuvnVDrNlx7v4tEzEWyCzhs3uMlIbv7nQAgtr2++vT7A6nI3PzgyYs4VilAfdPLHVzTwT490Igrmat+bd9Xyh7sq+Obj7fgqatlQ7WVng5nOVfgcrK/y8NDxMQYjZvPt7qYgG2YpjBeQzGlMJhVCSYVYRsUuCWiigEcSSGY1avwOLmsp4Z2XN1jf6WwkVeax47JLpJOKOXojmgsA66q83PtUH2UeOzZJxCaZg9/7e6NLJqlLNWBst9upqqqyVnnr6+sJh8P09/eTSCSsIrzf77eK8kvBY489xt13322Zfn7pS1+a0cjc3NyMx+OxUs9vfvObbNy4ccFt/96Q1PmQSjabpa2tDZ/PN6Nfa6khu6Yb/MvPz5DMaZT7HCiaTvtwnJZyN+sCLhJOkc0eL4cGYhwdjCGL8IeXN+K2LSDzmkqxtQx6EjYUDVKCgkM2Iy7DMJf4Hzs9ySs3lANmevaG7dU80xVmPJEz5wA9Ews2LLpdLv7yFZv4y1eYN1qhCTFo2OgKK1SXeLlhYxVlpSVsrvPRNhinwmvntu3VeB0yuxqD9IbSVHjNNoRUKsXldXa2baubsS+PQ+b2HTXE807IHsfcl+n+3gg/PDLKiZE4XqecJyARDNOEwu+U+efXrZ8WiRn5caLD/VFiGZXqgJO1lR7u3z+IJAqUemykFR1VM6WIdzcGuO85MyK0SwKxjEo4peSVGpaGSz1gXCicz1aED4VCfPe73+XTn/40kiTxjW98gxtuuMESB5xvm3fddRc/+clP2LRpE29605u47777eOc73znjtY888si8c6yz4ZKT1Gw3+8X4EpdKKoUu4AsdxykgmlYIJXNU+s92YfucMomMykg0QyRrEDMUPA4Zn0NGEOBHh4ep9jt4y56GGdszDIP+/n5ioTE2NlVzfYmXyUSOrz/TYxW3zfYOnYFQmg88eIKhaJaN1V7e97IWXr7hrLzygQM9S0pdBUHA7/fj9/tpbm5GVVWr/tHT3UWZzcYbVpVSVhbAk1+xK/faKfcuvs4hCoIlejcXnugI8eGfnELVdCu9MwBD1XFIAooO1X4HledI0Ciazg/axhmIKdhEAUUzuH5dOcOxLHZJxOuWzRXL/ENNEATeuKuW/3q8l55QmlhGRRIETo4leKR9nFdsrJjl6GbHYow5LyZmI8mpRfh3vetdbN68mU996lN0d3dz55138tBDD8078bF//37q6+vZtGkTAHfddRf/+Z//OStJnQ8uOUmtNBiGQXd3N6Ojowv69C32xg6ncvzm1DiRtAL5ZXADs+Zxx+56NN3glBaiLS7id8rYJJFQMkdG0fjSEz3U+J1ct+7sjaBpGu3t7Wiaxp037uLbB4YZCKfRdPNJrxt5na78TfudvD6TJAr0htJ0TqS4921bl23cQ5ZlysvLKS83o7V0Om0SVk8PyWTSWhovLS3F4ThLGEt9cEwkcozFs9QGnATdNu59qg/dMHDliTCd0wi4bKQVDVU3aCpx8snXrZ/xOQfiGr2RDC0VZgqpaDqPd0yyrtLD4f4YumEOYKdyGrsagwBcvaqUcDLHF5/so7nUiUOW0DSDrz83wJ6mAKWexRHwSomk5oOiKDQ3N/PRj350UdscGBigoeHsg7SxsZGBgYFZX3vzzTej6zo333wz99xzz6JmW1csSV0MsfqFtqkoCkePHsXhcLB3795leeJFUgr//LPTTCRyBFwy3RNJomkFv0NmW32A122rwS6LPJXrpbfTRiKjEskqqLpZu3DZZH5xcpyaoIt1VV7S6TSHDx+mpqaGpqYmBEHgj65spHM8iSgIbPFn+MqRFGNJBYcsccvWKn7cNoIznzYahkHneIruiRR1QScPHRvjeJdCJhjhqtXlizqHC5GLy+Wirq6Ouro6008wFGF4bJKe/kEkdEuGdynf8XcODvHvvzGjRMMw+Nhr1pJRNKbyjyQKlHlsfOPte8iqOq45UmVFM6xoE8yodiSWpX0kQTKnEksrBNwyTWVu3n/92d6s2qCTphIng9Es/WFTAtksog/w/utbF/U5LrXo3WK1pJZakzrX13A2PPnkk9TX1xOPx/mDP/gDPvvZz/LBD35wwW1fcpKa74J/MbteC2J6ra2t1NbWLvwGFhcJPNsdYiKRNWVCkka++CrwgZvWsLspiJzv0xEEgbfuruWfH+kgkTVrMaphUO61E00pDISSlEkZTp48yYYNG6aZh5Z7HZR7zQjFmx7hq2+ux+kz59p+dnyUH7eNnHPgkMypvP0bhxmMZMmpKr/oO8WfXpXm7ZfNTC3BXOJ/vCPEZDJHhdfBNatL5yzmT8VAJMOvzyRQNDuiUMk1q4IExSxjY2NEIhEOHTpkRVler5dYRuXwgNkGsL3BjyyK9Eym+Pff9CCYh45mwEcfOs2t26r54ZERy1AU4IZ15YiCMCdBAZQ6QEwLJLIqHrvEydEEB/uiePOpdkrR2Frn559umR6F1QacxLIaE/kOdk03BQSf6Ajztj3ZGWnlbFgJkdRC4y5LlWlpaGigr6/P+nlgYGDWulPhdz6fj3e96118+ctfXtT2LzlJzYXCatxy5u+FEZxzWb+/v5+BgYHzEtNbiEjTOY1oWuX4UDw/vmIW0Z02ySIoMOtw164pw2W38c8/P0UkpZDL6RwfjqPqOnouhWedwO7du+eV9CgcS6EH6LKWEpx5CV1ZFNAMc8Xtqc4w/eEMNhHsonnz//eTfbxxZy1uu8SP2kb42rMDKJrBqzaaPUWGYVDqsRNK5vhZ+xhv2F5j9UnNhlRO41cnJ3DbJco8EhlF47cdEV6/vRpXmYwzq7Ju3RrC4TA9PT10jiX43GEN1QAD03n5li1VhFI5BAGk/GcrEMfVq0sRgJ8eGwPgtp3V/OG+hYuyAYfAG3dU8/CJSQajWUJJBbss4nGY15pNEjjQZ47BDEWzPHh4hLFElvqgk92NATrHTYMHSYCmUjdZ1eyOr1yEucpKIKmF9p9Op5dEUrt372ZwcJD29nY2btzIV77yFW677bZpr0kmk2iaht/vR1VVfvCDH7B169ZFbX9Fk9RiW/gXi8IKX2Gbqqpy7NgxRFFk7969i8qPp2I20jsXG2p8DEXNpXS7JJLTzLrR/c/3s77aa6VhBbmWK1eX8Vc3ruGvv380f1Ma2NA5PJTmvS/ftaDm0LnaVOVeB19861Y+9YszDEdzNJe5aC1zcajf1E1HNtUvJVHA0A1iGZUnOib51C86UXXzs933/CCbarzcus2cmdMMg689O8C9T/WzpsLDR1+zZtrqWcd4ku8cHCKSUnDYREuj3GmT6JxIcceXXyCeUdF0nT9NT/CuKxupq6vjM984TFqNIwqmoF06p/F85xirKjxkFR2nTTS71g2z+77a5+Cvbmjlr25YXKpVgGEYrK7w8P5qP6pu8OWn++mcPGuxZU74QTKr8dVn+sGAco+DwahpbmqaTQh4HBKJrIbbLnFiJM4P20bwO2Ves6mSmjn6ui61MudiHvxL7ZOSJIl7772X22+/3WpBuPPOOzlw4AAf+chHePjhhxkdHeW2226zhvKvvPJK/u7v/m5R21/xJHUxtilJEvF4nLa2NhobG5eklT4VBdKb78m0vtpHbcDJQCSNoulIooCq6Rzqj/DpX5zhj65oyvdCnZVr8Tgk/C4bAgZKTsHltqEjMZ5YnLLouTWBVRUevnDHZpNwnhtEyht7HhmKo2o6kmBKuxRW4L5/eARFN6yREVXTaR9J8LqtZt/Ql5/uJ6WYZHtoIMof39/G9/94F267xKnRBO/83zaySl5CBvL2WkEUTecnR8fIKJpp8Q585Zl+1ld5uXp1KQORDKIomlGTZA65RnIG9S6FSpfOZEZHFEwJm7furpshSmcYBh3jSUZippTwhmqvpS117usyqs7P2sYZjWcpcdtw5lsLZNFsUL1tWzWj8SzpnG7JGVd5HQxFM7zjsjq+dWCYUEqlzGNja52f774wjCfvdHN4IMZHX7VmVmOLl0IklUwml7yiff3119Pe3j7td7t37+bhhx8GoLW1lcOHDy9pmwVccpKazyfvYvVKDQ4O0t3dzdatW615wQvZ3lSoms4vTozRPhynzGPnlq013Lqthm8fHMSet3kSBZH11T5UzeDrz/bxd69YO034rrHEjaHraKqC1+VEA3TNoKHEZelANZe5kUSBiUSWwXAaWRJpLnPPa4+l6gbJnEpt0Im3Qua6NaU8emoSzYBKr41/f+OmvArB9O9EEATskshgNEN/yFSwtOU74g3DIJpWOTGSYFdjgP95up+colkEp2g6vzw5QX2Jk3janFe0yyYhi3lyPDwQ4+rVpbSUuWkbiiFzNkKtC3qorK7kNa40jQEbw6EYQSFDg2OE9vaUVc+y2+082xPh+e4ITpupYnpmLMGt26pniO7lVJ2/+P4JOsdTaPlO+StbzWgvllG5srWUN+40VSIMzioC6IapDd9S5qYu6OT0mPldPNkZorHEaaXvg5EM+/uivHpT5YzvYCUUzheKpFaSKiesAJKaCxeDpARB4MSJEwCLtsJaaHvnktRXn+7j1yfHcdnN5r8DvRE+fsuGvBPKIAYG2+sCrCo39a0HImlSOc0iF8MwSI7386Y1Et/vFFF0c3D2T65q4h9+fILuyRRgGmZ+8KbV/Kx9DF0HHYMSl409JQa+OUjKJomUe+1MJnOUeexc1lJCXcBJtTHJay/fjNdtRiZv21NH22AMRdMRMGtA77isnn3NQX57JpSvCZ3dh4FZQAaIn+N4LInmYPHL11cgAt95Ydha4jfyUillHvN7+Oir1/DH97eRymnIooDbLrGl1stwNMPuphL2NQet7RYGagv64RlF59ERmcZyH16PB1EUGIhk6A9naC2fvlLVNqHRPZHCaRPz36HBk51hvnPXTqr9Z6OfxlIXqys8nB5L4pRFMqrOllofn3u0m9F4Dp9DYiSWZSSWpdpnt0iqMIM4G1ZCJLWYdG+lmDDA7xFJJZNJIpEIDQ0NrF27dlnqAudGUrG0wqOnx6nyO6wl7qFohraBKJe1lvKDw0PkVJ1jwzGCbht+lw2XTcRlEy19qhdeeAG3283dt1zBW1MqQ9EMVX4H//arDjrGk7hs5gV+YiTOPz58mmvXlllNj4ORDKdDWSpK5l7av3F9BT8/PsZwNINhCFzeWoo9HJ2meHD16lI++br1fO3ZAXKazi1bqnjTzhoEQaCp1MVPj40ynshZ0VB90MWmGrNqfP26Mo4MxtB0w1qNu3qVGSUBvPfaZr7wRC9KfmavNuCwal0NJS5+8K5dHBuKIwgQdNlMpQi3jfrg9BrP1IHa1tZWQvE0T4W7SCbijI+PYZNtJHAQT/owylzTvu/8WOAUhUwzKoxn1GkkJYsCb9tTx/6+CBOJHDV+JwG3zLcPDhF0mVZaAZfIRCJH+0iSxlIXdklAEkW21s0eoa+EmtRLyc4KVgBJvRjp3sjICB0dHQSDQaqqqpbtIjmXpNT80/PcHslYRuHzv+5E180bL55V+fWpca5cVca7r2lGlkRUVaWtrY3Vq1dbLRBlXrvl9tI+HLd85cx9CAxG0tOW2h2ySFqZv/eoxG3j9p3myEmh6/1IdOZFe+2aMq5dUzbj9x6HzNfu3MbnHu2mJ5RmXZWHv3xZi5VSvXFHDWPxHP/7/CCabnDVqlI+8uqzCqt37qtnTaWH57sm0FJR/vQVO6bJ8nodMpflVTeXgqDXSWt1CeOJHE2VdiLJNJlYkuhoH5/ef4ozcYnKgJt3XdVMi988hzlVQ9UM0oqebwidee7sssiVU+bz+sNpjLzpqYDZqKvqZx17aoMO/u6m1TTNYeLwUoikiiS1SCwHSem6zsmTJ0mlUuzdu5czZ84su4Tw1PpPidvGhmofRwdjpiaUauC0iXjsMlnNtDD3OmVzHCarceP6CjbU+BkeHiYajbJx40aqqmvoHE+aInBeB1X5J3u138FoLGORgaYb1Ja6GI1nCbpljg7EGE/keFmjfcEmSZskLrpDejZU+Bz88+vWz/o3QRB4z7XN3H1NU16aZeYD4bKWEjZX2OjpyS6LbjiYpP2qTZU8dnqS/nAav9PBa7fV8a0DQ/ykN4OqqxjjUZ7sPsL7N2v80fYyvnAgiqKBzyFx4/pyHjo2xh/snX98py7oZHdTgOd7IggCjMdzBFw2Xra2DEkQGIym6Z5M0T4cp9Rj56pVpdOK95e6JnUxWhAuNn5nSSqdTnPkyBEqKirYsGGD5fF3MR1jBEHgjTvreL47zGAqh00S2VoXoMxrR9fPSpg4ZNHyjDt58iSJRIKKigrsDicPHh7i5MhZu/Jbt9WwsdbPB1+xlnf97yEyim4ZXX78lg080xXi3x/rIqOYda1TI+B22HjbAkOhUzFfsf18IQjCtBTyxYDXIXPzliqr0J1RNL5/aBi7JGKTzEs9o2ocDgu886pyjo+mcepZPC4Rj5QjmpUYimbmJCndMDjUH2N3Y5ASl43+cAa7lGR3U9B6eAxFs3zpyT5cNgkD+O2ZSf7PK9dY/WSXOpJabAtCsXC+CFwISY2NjXH69OkZndkX28X4zFiC/3q8mzKvjX2tJYiCwFAkw8nhOC9bV86vT45j5HWjdtb7UUZOI5WWsmvXLo4fP07XZJqTIwkaSpwIgmmS+fCxUdZUeVlV4eHbf7yH57rDCAJc0VpKqcfODw8Pm/50DhkEU6/qC8+M8bZrzkpgrBSFxalYTlI0DIPneyP0hzM0lDjZm7fdKpiJCtNeC4oONdVVVJSnqfTa0TWFZDJFKBzhxPEQtliJtWpoKVoaBp98pIPHO0KWM/Pb99ZhlwWyqo5DFvOGGVnWVXvx2CUMw+D0aJKD/VHLOOJS16QWM8VRTPfOwXw1qaU6Duu6TkdHB5FIZNbO7IsZSf38+ChffKKHoUgGMJfldzUFcdlFQimFD960lj1NJXRPpvBLGmd6+nh4MMgG0UWjaj5dUzlzFq1wTlx5x92somOTRCp9Dm7eOt0GfTxhzpAV7kRJgFTeSFPMh2OnRxM8fmYcuyzxig0VMyKFxUZS0bRCMqfhtkmLGokB8+buD2eIphV8TpnGEtc0lYblwL/8opOfHB21fr5laxV/d9NqfA6JTTU+TowkkAWzCdUmCWwuF3HIIpc1B3myM4THIZMVnKxv9vGanTUo6QShUIi+vj4EQaCkpITetJ3fnJnEbZeQRVMa+evPD/JPN6/jh22jDEUyKJo5xlRQfhAEAQRITVEVvdTp3mKwkuysYAWQ1FxYquNwJpOhra2NYDDI7t2757RvvxiRVDyjcu+TvfidMlmPjXAqZy5NRzOoutndLIoCN26opLevj48+3E1nXAQhzmNdCZ7smOTdW20EnSIGZh+PXTZXjco89nnrNnubS3j01IS1rK/qsKbMYRHUU52T/MV32lA1k7S+/HQ/979j+5wd0XPh1FiC57oj5g+Gwe6mIBtr5p8DMQyDZ7sjnByJY5dFcqrBuioPV7QuXBjXDYORWJasquN3ypTNUUNrH47z4zxBFcj2R22j3LKlio01Pj7z+g3c8/BpDvXHCDhl/uqGVryRTgCuaC0h6LLRH07jc8psr/eb2lVOUxd81apV5HI5JiYneWR/P+FkjkRawC6LBN02REHA55T5yKvWEE2b3fUf+vEpQskcJW4b8YyKohnUBs+uGK4kF5a5kE6nL9iMdzmxIkhqtif5UtK9yclJTpw4wdq1ay37n9lwsSKpaFrBwHTOrQ44UTSDUEphJJblNVuquH59Bbqu8+yhYxwbTdGZkPA5ZetzHx+Oc7rez1Xr7Ny0wWOmhZgrgbftqLUIZza8fnstZ8aSfO+FQQDqAjY+cM3ZbuGP/fQkqmYg5wtE8YzKp3/Zyas2VWKXRTbX+BAEgXBKoW0sjN8hs6HGizjlRopnVJ7rjlDmsWGTRFRN50BflLqgc17Np0ha5cxYgtqg0xpnOTOeZF2Vl/lGcXXD4MmOEGcmUqAbPNkZ4sx4Cpsk8JbddbzrygbrRh+N56yZRDhbCxtP5AAIum18/vZN07b/3HOd1ms31frYVDs32drtdsZUNxnRg11WkMW8n188g1OCxGgfEaHcMjv44MtX8ZlfdXFqNEE8q9EYdPLlp/v582uaZ/RrvdhYTLRc6NW7lJpX52JFkNRsWAxJGYZBV1cX4+Pji7JiP58Ucj4USKrUbcNtk4hlVPxOmboSJ06byN+8fA2XtZSQzWb51qMHOBS2kcFJMpvGJom4bKZNkihARjXQdZ09zSVsrvWTUTV8DnnaEPLsxyDwd69cy93XtZJWNNLhUfQp5y2SVpgaVOqGwemxJPuazaXz3skUYiLHf/38uKVZvrsxwP/Nd5+DaZklcNYuvZCupRVtXpJSNT3/+c62TYj5fdjzy/1dEyn6QmkaS13WTTwczXJmPEVtwMEjJ8Y5OhRH0w1ESeDLz/TjsovcudccJF5V7kbTDbT8SqKmGyBg9WXNhsXWwzTdYDiW4fhwnLoSJwYBDvbHEEQBwxD4+C3raCkVLbMDQRAoLS3lrduC/MfTOTbV2PE5ZaIZlf96opd/vmXdovZ7sbDYVPNiyCRdCFY0Sc1na5XL5Whra8PtdrN3795Fnfzl9t4zEPjhsUkODA+j5J2Gc6oOAvzRFU1c3lpKKBTiucPHOZb00lztwwAODURNlU6fAyUf5awqPds64LJLlpDbYuHLtzYMREW0KedtS62fg30RDM4WkddWeixyGY1l+MKhJBnVQM63VBzoi/KDQ8Pcscvs13LbJRDg1GiC7x8aIZpWCLhsbKn1Ue2fmTZmFHMw98RoAlUzuKKlhAqfnVhGxSmLBFwySjrLD0+n+NFDL1jzcn96VSN3XdFo6qPna3OH+mOo+RRJxJx7fOjYmEVSjaUu/vblq/jULzsRAF03uGpNKYcHYvicMiWLrJ2di7F4lr/+QTsDkQwZVTfrgVsqWV3pYTSWpcpn58q8/lbB1iybzdI7PMFnft1Ld0TlzChUeG1sq/MTyqhE08tr07ZULKb9AMzzvpJS0hVBUnOle3MRSjgc5vjx45av3GKx3F3sT/QmeawzTmOFnxKPDUkUuWFdGa/eUkO130FPTw/Dw8M0r92I89CYpXjwms1VPHxs1NTX9jv42M0b8GYnODGa4uGuHtx2mVduqqTEvXAv0+nROIcHYmDA5joffqY/Cf/l9Zv4k/sP0TOZwjBgdYWHq1adbU5UdUgpBoVWHkEQyKk6J0cS1ms8DpmN1V7+5JtHUTSz9hVNK7zv+8f56bv34p9iDaXqBu+6v42To0lymlnw75pIcceuWkrdNq5aXYrLJnFqIM2Dp9LoBmi6+f1/8ck+rltjdtAXanOFNFXIt68bhqkmMRW3bqtmX3OQbx0YxGmXqA04iaRz/Lx9jNdvq7bO+1LwsYfP0BfO4LKZDjfD0Qy/PRNiTYUbj0Pm1m01M97jcDj4wak0MU3CbjOwSTCRVDk2EMJnExju60LTNFRVXbLixnJgMe0Hl7pFYjasCJKaDbMRSsFMdGhoiB07dix5mXS5a1LHRjP47OKUYVqNLz3Zy7cPDlHn0njndh9X7d1LNKMhMEZW1XDIEkGXjZdvrOTd1zRTEzBT1Pse6+X/PTuJnk+J7nuun/vescvqOJ8NneMJft4+RonLhiDAL0+Ms70c6qeclgqfg+/ctZvBUAKHTWYwmuG57ggG+XQMA5dsWlEV7NrtkkDLOfWT8YTZ92WO2JpQNYOTIwn2TpmpOzwQ5fR4CkXTzdRO0wmnVdZUTifH/kjeDTm/OUEQkEWBnlCaG9Z5uGpVCc90R9jV4OfXpyYtHS6bKPLHV8wU5hMFAb/TRnXArHaVeuwMR7NE0grVU0hqsYXrk6MJHLKYr3GZInoeu8QtW6upDzpn7aUaiWU42Bcl4JIRBYhlNBBEErrE39+0hlo/hCfGeOGFF5AkyWpzONdS6mJhsd3mK6loDiucpKame4qicOzYMWw2G/v27Tuvwt5yp3seh8RYXj4llMxxZiyJ2y5h1zL0J2S+1ylyzR6RUo/EzVuq+fHREUDBMAxeu6XaIiiA/zkQAgE8eWPNyUSO+5/v5y+uXzXn/k+OJPA7ZEvgzjCgYyJB3TkRmCQK1ARMU8hSjw1JgM7xFG67jWvWlOFRwnzu+QSSKKAbAmsrPVaqV4BTPis/XIh8NR2ctuk3VyqnT2ujKNTcsur0814XcKDpRr5vTLA02RtKzHOyttJrCsptq+aG9WEePDyCKAr8wZ5arpjFRso89unHZxjGDEWHc0kqldMshc6prjRBl41QMock5j83BuurPGyvn30m76nOED89NkYso5LIqVT7HARcNkIphZetKeWyljJ0XcfpdLJ3716y2aw1HB2Px/F4PBZpXSySWEyUtNI892CFkNRsT7apkVQsFqOtrY2WlpYF7XXmw3K3ILxyXQn/76lhhiIZhqMZdMPAgYLd6cZvlzkzniSR1fA5ZXY3l9BS7iGSVgi4ZEvuF8wIIZnTccjTz4PVAzUHBAHLDRjMf4vizNR5YmKCWCxGeXk5brebzbV+Nteevdm2VTn4+lvq6Ikb+Bwye5uDM+RNLm8toTbgoC+cQdV0bLLI+mqPNVhcwOb8yqDlTpz//dZzVtBWlTm5ebWLh7qyVk3qnZc3sLby7A3ikM1+pldsqOAVG+Z3ZCn12FhV7ubMeNKUalF0VlV4ZkSiU0nqzFiCh46N0T2ZRjcM3rSzhqtXm82/f/vyVj70o1OkFfMaLPPY+YO9s6t+TiRyPHR8jAqvnStbS3jszCTD0SxlHnMw+o+uaORgX5SxWJpIVGePYeBwOKipqaGmpgbDMEgkzN6skydPksvlCAaDlnnncqWGi42kVpICAqwQkpoNBZLq7++nr6+Pbdu24ZvFNvx8trlcaC1z8Wd7Shgz/PyyrY/RqEFal0nHFZyyhtMmTZvbmjowPO24RIHV5Q46JrLIkk5W01E0kzAyijbNREHRDGvEYmtdgK7xFAY5U0kyp3FZjRvDyFqv7+7uZmxsjPLycjo6OshkMrPeADV+O+vzBp2zwSGLfP0Pt3PvU310TabYUOXlrisaZszmlXrsfOktW/jrB08wEstS5bXz6ddvmFUA7k2bvNxx1Qb6wmkaS1ysn8cAdCGIgsC1a8uoK3ESSiqUuGXWVE5vpSicE0EwFQ9+1DZqifAZwHM9ET5z20auWV3KvuYS7n3bVg70RXDKEteuKZ1zJTOWUREwh5HLvHZesaGCU6MJblhXzs1bKvnuC8M83hFCNwzSKRXFP8ide+umRZs+nw+fz0dTU9M0i/Tu7m4rNSwrK8Pn8513UXuxgnfFSGqR0DSNbDbL5OQk+/btW5anyXKmezlVZyShYhN0Whmj2iPicdryhWWDaEbl2rVl82qAT8UHr6vlnl8O0BdV0XSDrXV+RFHgh4eHuX1nLd8+MMh/PNZFVtXZVu/n327fQn2Ji9fvqOHYYAwDU23TqSYIhzNomsaxY8eQJIndu3ejqiqNjY0zbgCbzYamaaRSKfx+/7w3gC/fDLkQNtX6+Pnde61Zxfmwvtp7QeQ0FbIosL5q/m1ZJJVVeaE/RjJ3ViU0p+p8+pcdXLN6LwCt5e5F9TaVuG1kFI1fn5owI2eHREuZm1dvrmQiqfBEZ5gqvwND14noaX51coKXrS2zUttzca5FeiaTsTrgE4kEXq/XSg0XkpOeisUUzos1qUUikUjQ1taGKIps27ZtWaVVliOSGoyk+eTPTjMQipNOZ3j1pkp0h5ObNkB/JENGMe2UmkoXHzZXeu383TUV/GoAGktcVvQ0EM7wo7Zh/u+jZgOiQxY4Nhjj/d87yjfeuYu6oIu64NmLanw8iaIoPP/889TW1tLY2Dgt/Tv3Bkin07S3tzM4OEhvby+BQICysjJKS0sv+MGwEEFdChRIqtDXdvb3psRO5DzaBByySPdkmsFIBkkUiKbNOqXbLtEXSiMJ5rnQAEkU0UVIZBd/HTqdTmpray234YJ7dHt7O4qiUFJizhoGg8F5v7PFRlIraSQGVghJTSWhoaEhurq62LJlC21tbcvar7FcNal/+1UHw5EETiOL22Pjib4MqyrcCLrAphq/2WQ6meL53jBPdoaoD7r482tbqJ5nFEUURQTDLJxPXTIXBdjfHUHRdOv3sgRtgzGyiobjnOX1RCLB6Ogo27Zts8w652vOc7lceL1eKisrCQQCRCIRJicn6enpQZZlK83wer3n/V0UiuJT61wvRsOgbhj85vQkg9EMTaVurl5VYpFU0G3jsuYAP2wbRS0MIgtzR2LJrMpwzFyRrA86p32W9pE4WVWnsdRlNp0KkFF0To0mqA86EUWBZE7DIRqkFAOPQ6Q2sLD91WyYzz26q6vL+s4Kq4ZTv7PFRlLFmtQc0DSNkydPkslkLGnfxbixLAXLEUllciqnBkMEbDoen49MNosmQEOp29IbVw2D06MJazq+ayLFseEYX/vDnfjnqGsIgoDPLlDhtTMczRBwmbNfQbcNg+nnQDdAloQZ3eiDg4M8ebyXlOijUXeysNXn2X0XupELFziYaUaBsBKJBDHBQ8xwEQz42VIfnKZiORcGI2me64mQUcyGyMtagqZiw0WGYRh86EeneLxj0iQOUeA1myv5m+vOjtR88KbVjMRzHOyLIgkClT47//jatTO2NR7P8p0XhknlVAxDoDbg4PadNZbgoJCf7hYBSTIbYgutszZJZFW5i8dOh5AEKLHD+17WsqCF/GJxrnv0fKnhS1HwDlYISSWTSV544QWqq6vZuHHjFFlXk1SWa3XjQiOpXC5H2+HDeOwidrcXUQRDN1AFg1Xlbt5xWSMDkTT94TRtA+ZAqyAIuGymk/Ej7WM0lLhw2SXWVnqndZWLoogsmrN4T3RMMBLL0lru4Zo1ZaRyGj86MkI8o6IbZkTy7mtarKK1ruucPn2aLz0/zmN9OqIQ54uH9vPel7XyziuaZv0sWVXPq3POrYDgdDotJ+ITw3HaTg0jqSkGRic4eAJu2lDB6vrKOYu50bTC4x0h/E6ZgFMmlFJ4qjPEy/MrdXM9fNKKxv7eCKOxLD6HzJ7m4JwDxnPh0ECM33ZM5snX/IwPHRvjdRtLrf3aJJH/eOMmBiIZcvlI6NxVTYBfnZpA0w0rrR4Ip3mhL8qV+b6vjTVeqnwOhmIZ07YsrxXWXOrk/z3ew3hCYV9TkLFYCr+ksKbi4pHAbKnh5OQkx48ft8TsnE4nJSUlsxJWkaTmgKZprFu3znqCF1BYjVsukroQcbeCw/Hq1av52yoHn/jZaRIZBVVR2dVawsvWVeC0Sayv9lm9QVNhuqaM01jiRNUNagJO/nBfo0VUBVMHr1PmVZund9H7XTa+/cd7+Pb+AcIphWvWlHHjBnOQWlEUjhw5wnDOwW8HVDO1MgDB4N8f6+LG9RWWJVMBoWSOR09PklE0dAN8qsLVZfOT95nxJA3lAZw28zsajaYYT+ew55/YPp/PqmXZ7SahhFMKGFgRR5nHxmg8S0aZe1+6YfBER4iJRI5St41UzixIv2ZTpdXHlFV1Hjs9STyjsrPBz6pZbvrxRC4/y4d1fmVRYDyZo3wKOQqCMGcBu4DJpGL1ooFZa5pMnZ0Bddkk/vW2Ddz7VB/dk2lay1z8yVVNjCVyjMVz1AachFMKimbQGVc5OZqYUwN9OTE1NWxpaaGzsxNd15mcnKSzsxO73T7NPVoQhCXXpB577DHuvvtuy2/vS1/60oz7dTGvmQ8rgqQCgcCsebAsyxfFMWapGBwcpKenx3I4HuwNmxetrpPNj2komoEzH8G3lLlpKHXRM5HCYRPJKQaqZrBuSt9ObyhN+3CMXU0l1nHNR6A1ASfvv3H1tN8lEgmOHDlCS0sLQxMComB2rBv5VTWbZDqmnEtST3aGGI9nOTQQM40OZIXVtQrl8+SHgjBdAVyWZcrK/GxuClrOLZOTk/T391uDtlmbd5prijrFfSY7x2dNZjXG4jlq8qlkwCUyEssSSil4HDKpnMYffv0wA5FM3m4KPvm69VyzupT+cIasqlHmsbO20mMOHuuGNXgsAC2lThJjS7sG6oNOOsZT1AQc6IbBcCzLC/0x7n9+kPXVXt53XTNlHjt/d9P072cikcPAYCCc4shQHE0zUDSdz/66i39/46ZlS/kWC8MwCAaDVFSYkWw6nSYUCtHT00MymeTxxx/n+eef56abblrU9jRN46677uInP/kJmzZt4k1vehP33Xcf73znO5f0moWwsoZ0zsHFsLVaSiSl6zrt7e2Mjo6yd+9evF4vhmFw//MDVPscrK50U+EWGYpkeLpz0nqfXRb5t9u3cO3acgIuG9sbA1yzpoxSz9mL0iYJpHJnP9u5eukLYXx8nMOHD7N582Zqamrw2WUUzbCaO3XDJMZzowRF0zkzluTLzwzwXHeEQ/0xftub5ucnQ/Pub0O1j9G4OWYSTimoumGNzhScW1atWsWePXvYunUrLpcLJTJGfLSXAye7OTM4zlAkzY6GgNWWMfWB0T2Z4pv7B3no+Fg+wjunSTX/2m8dGKQ3nLZMFBRN5//85BS/aB/jsVMTPNsd4afHRjEMg7+/aTWiIFjE+Imb11HhsS35QXXDunIqfTaGIhm6xpM82x2hezJFOKXw+JlJ/uoH7SjazOiwsdRFrd/BoYE4AmZ07bOLxDIqj5wYX9IxLAfOLZy7XC7q6urYsmULe/fu5corr2RycpJ7772XHTt28IUvfGHe7e3fv5/6+no2bTKlcO666y4eeOCBJb9mIayISGouLPes3VKQyWQ4cuQI5eXllkY6FLrDNVJZlVNjCTRVRZDiHBmI8IpNZ3WcSj12PnbzBuvnbz7fT/dECpsIP2sfI5xS2N8bocrvZG2Vd9GpqGEY9PT0MDo6yu7du3E4HDzTFeL0WILtDX4O9EaQ80vef/Py1dSXuKbV4WRR4EBf1PTUM4Uj0XT4UXuED7xq9n2OxLL8/Y9Ocmo0iSQKvG5rFe+5tnnOOpHdbqc9auPnHRIuWzmXN7ixKUn0zCixvjE6E2ZKWPi8z3SH+YvvHQfM43HaJN68s4ZKn4OMqlHutVPpM/fVH86gqPpZdU8gndPoDWVozad9WVXn6a4wb9ldx3VryxiLZ6n2O/A6ZOLx+JJJyueUeeueeiIphSc7QzzeGcabH1+ySQL9kQztwwlymk5a0WgscdFc5sYhi/zJ1c388tQksgA2SSJoF8giEEktn2TQYjFf4VwURa688kr27t3Lq1/9aq6++mpGRkbm3d7AwAANDWfnKBsbGxkYGFjyaxbCiiCpuS6ai5HuwcJDpgWVhXXr1lmhsXVMkkilz85DPWFcNtPyW8svdb/7WnVa7WIqbtlaw7f2D/DFJ7pRNAOvQ2IkluHubx/he+/au6hGU03TOH7cvJn37NmDJEmMxrIcG4pTG3Tyxp117Khxc2Jggve9ahsbambWPQRBwCFLGAVPpjwUbW6CvPs7x+iaMN16Nd0sQF+3pozr1s60vAL45v5B/u3RbrKqmd79vF3k/nfsYE2lh1wuRygUYnh4mHg8jqqqfPhXUXKKSZpgKil0h1LsagritYusrvRaBe0ttT5+dnwsT7ICBgJBt4zLfjYpcMgiYc1M9fxOeZpKw/muFsuiQLnXPuv3axjww7YRVN2wRnzesK2a7Q0BSt02rmwtoX04gc+mk1N1dINpY0kvFpbiuRcIBAgE5p5AKGDquZzrIbuY18yH37t0b74VvoLKwokTJ9i5c+cMgipgd1MJdllE1Q2rCG6TRAbCaY4PxTjcH2U8Pn3uzuuU2VTrw22XKffacdpl3HaZnKrTPhxbMJLKZDLs378fn8/Hli1brCdiVtUQhLONk3UlLmq8EpW+6XWoqRfKqzZVmO69kBezg931s6/oJLMqZ8aTaLpZlxLyw8JPdM6dHv7nb3ssggKzZ+jLT/cBZpRVXV1NU1MTlZWVNDY2EkmbYymF/1TN1Ijf1xxkU61/2mjR67dXc93aMiRJxC6L+JwSn7h5HQamxAyYWlCVPvus3f6GYQrkPdcd5v79g/zg0DADkfScn+Vc7G4M5C3JTMv4VE6j3Gsjp+k0lrioDTip8Np5+Pi49X2+72UtrK70MJnSGE6o+J0SB3oj9IUWv9/lwHK3IDQ0NNDX12f9PDAwQH19/ZJfsxBWRCQ1Fy4GSRUilnO/rEKUYhgGe/funXf1oaHERbnHTsAlk4jH8DhtxDMKPz06wkQiiygIyJLAOy5vmrby5LBJ+R4aIW8zbj7tHXmFzqnkqesGg9EM6ZyGpKYZ7j41a2QXcNnyzYPmjF8iq2KXwOuY+2J8084axuJZvv6caeC5rcrB31wzuy6XXRYt6d8CJFEg6Jr7/JyreGDAtO7uAkRRxO/3s7rSy+mxJIZu9hfZJCgnxtGjR61m0sL4hygI/Mvr1tMTSpPIqLSWm/pONX4Hz3SHUTSDKp99VmNTMM/5sXGFkBilwmMnrej89OgYt22vpnLKfGF/OM2BvihOWeTq1aVWb1fAZeO/7tjMf/y2h8FIhvVVXrbV+TnQF7He65RFJjUl38AqUOax88lb1vHZnx1l/2Aav9PG8ZEEp8Y6+YdXrVlUv9lyYLndi3fv3s3g4CDt7e1s3LiRr3zlK9x2221Lfs1CWBEk9WK4GJ+7zYJVEZirHIcPH6ampoampqZ504HO8SQ5VWNHY4BD/VHSCugZlatXlzGeyNKYH4WJphV+8MIgf/uKs82BW+vMG/LUaDxPVAbrqnxsrfOTy6StJ6+uGzx6epzjQ3ES8TiRSJg3Xblh1sgu4LJxw7oKHjs9QSilIBqwp9o+oxN9KgRB4L3XtfCea5vRDejt6bYcTs6FTRL5s6sa+fLT/WTztSCvQ5oh5TIV+5qDPNcTsSylnLLIjevnXjr87G0buOt/24ikFXQD9jQFuOf2jWTTKSYnJ2lvb0dVVUpKSigrKyMYDM6QB15V4aG5zI2qG9Mir3Oh6TrdEZX1zU5kUcBpM2ta/eG0RVIv9Ed5/w/aMXRToqX8KTtffttWy1C1JuDkn285a47aNZHimZ4wGUXDIYsMRrKsqXQTTin8+Ogo0bTK9jofh4bSVHtMaR0fZqPr4YEor9w4ty7/cmKxkdRiWxAkSeLee+/l9ttvt9oL7rzzTg4cOMBHPvIRHn744TlfsxSsCJKaCxczkipgYmKCEydOsHHjxmkefbPh+y8M8sPDw+Yclq7zig2VGOF+XnnVZk6Nxnm+J2y91uuQGY1lpllL2SSR//eWbXz9mV7OjCVZU+nh7Zc3YZNElIKmkqbzmV918NO2EeyCxo5Kie1rW3luIMXmRm1WWeHmcg9vC7rMaX41S8fp6IzXzFaLKZgWLJRq/tnVTbSUu3miI0Sp28bb9tRNizrOxb/cuoEPPHCCZ3vCyKLAOy6r5/Xb5lZQbShx8dN376F7MoVDFmkqdSEIAva8MkBh/CMUCjE6Osrp06dxu91WlFUYiJVEYVbH5HNOhKk9peeH9TCtrqQpEcY//uwMqmaSnWHAWDzHV57p529unF3bq7Xczeu3Vpu1Mt1gdYWbq1eX8r7vtxNJKUiiwK9PTaCpGhXesw9H87zPf7jLiYuhJ3X99dfT3t4+7Xe7d+/m4Ycfnvc1S8GKIam5JISz2fk1lZaKworhVBmTPXv2LDhN3hdK8eDhYSq8dmTJ9F17vjfM7fUia6u8jETT9EykSGY16ktchJI5Wso9M5xe3HaJd187U0mgQJ6f+WUH3z04SE41yfnXfQb1dQqyKJBRZycpMNMyuyySSikXZS5uMZpOBfidMl986xZrjm22yPTcY7TLIuvmUTCQZZnKykoqKysxDINkMsnk5KSlvzQ1ylooWthc6aAnnsXrkMnlZyJbys62akwmFWxTvAF1Q6c/PL+92s7GANsb/Kh5KZ1vHxgiklLyK6Bmq8RAKsdYXAFZtUamts0honcxsNh0rzhgvARcrHRPURQOHz6MzWZbtIlDKKkgCWfn5WySWatJKGYK+JlfdTKZyHF8OI7TJnLL1hpu3zl3SnQuCjWpBw4NYegaoiggiaZ91LNdIW7aWGmpdi60ndlIar4U9mLYrMNZV5nCtpdrBlMQBLxeL16vl6amJlRVJRwOMzExwZkzZ3C5XFaUdW6TsGEYrC2zszZQTm8ojctmGohObaxcU+HmxEgCGwJZRUc1IJ5Vea4nzL7muT0DRUHAnhcuTOZMjalEViWcUqzo/eoWP8MZEb9T5rbtNdQu0f/wQrHQd5DL5aaVQlYCfu9IqqCz1NLSMq1/YyFU5YubhQJ1QbEx6BD43K87SCsa1QEnum4QSZsidHMZKWQVjeFYFt0wqA04ceYL59lsFkVVsckSNgRymo5hmEvcr91Ssyhtqovp8pFTdU6MJBhPZAm6bGys8c1rXKobBu3DcU6OmO0L66s9bKzxWSuRy3WssixTUVFBRUUFhmGQSpm1rNOnT5PNZi0pk5KSEn5xOsx9B8cRxDCv3FTBn1/TbFl3FfDx167jPd89xlA0i2ZAa7mLl60p5cmOEFU+B83z2GUVsKsxyHcODhOOZ7FLAqoBThFsNomP3zhziHkloPAwKRoxzIELNQhdDMbGxgiFQqxatWpJBAVmsfSPrmjkq8/0Ec+o5FSd7fV+XhiL0z2ZsjTARdHsQxqMzp4eJDIq3z04aEkDl7htvGlXHaGRAbLZLLdsq+Xh4+OA2WXtsov89ctXWyQ5FROJLN89MEgkrXDlqjKuXVs+Y5VwIYRTChMpjaAwv46Sbhg81RViNJbD55Tonkgxkchxw/ryWYdyATrGUxwZjFGVr18dGYxhk0XWVc6dTozGsjzfGyGd06gvcbKzIbAktxdBEPB4PHg8HkvkLxwOEwqF+N4zp/nqcRXdAFHU+daBIVTNmCHkVxd08r9v386nftlJTcBBqdvsUpclkbF4dlEktb3ez7VrSnn4+DiqDjV+By0+gyNDSX55YhxVN9hc61twbvDFxkqysipgxZDUbFgukjIMg46ODsLhMDU1Neetl3Pdugq21gc4OZLg2wcGGIxmCIV1kjkVVTOsYrKi6WyYw4L86a5JJpI56vMT9UPRNN987DBX1Nlxu918+GUbKPU4+NWpCTx2ibuva2Vfy0zjgYlEljd88XkiaQVNN/j+oSH+4mWtvHXXTKuluSRvjg7GODIYIxJOIcs5bL7UnEJ98YzKaCxr+ex57DLDsQyhpDIrgYK5jB902pDzT+ag08ZAODMnSUXTCo+eNj930G2jL5Qmpxlcu7r0vG8eSZIsKZPPH8qhE8LkVB1FhR8eHuLOrb4ZWuJuu0Rd0IldEq19q7qBzzl7KmQYBrGMikMWLVLd2RAgklKoCTgRBIGuoTGOT6QZe7ofALss8Hc3rZ6hE38xsNh0fqV57sHvAUkVVAI8Hg+7d++mq6vrgrZZ6rHTNZFA03WTaJIiFeUBDvZFSWRVDAO21gd4x2WNs75/IpHDl0+RVFUlOj6C4PeydetWnn76aeyyyPtuWM37blg96/sL+Nb+ASIpBVEUECVzgPbzv+7izTtrFnVBTiRyHBmKU+lzYMvJaIbAs90RqnyO8/Kpmw1OWSSWVimsFeU0g2A+ZZ3tGCeTCoaB1ZNU4bUzFMmQ04wZJhUFjMayPHp6gtFYlm11fl62bu5WB1k0O9QFIT8rqRtIkkg4HKarqwubzWaplno8Hl6xoYIft40SzbdGNJe5WF0xk8QnEjn+z09OcWYsCQK8ZVctd13RwN58K8ZQNIMsiXSGFVw2m9UXFU0rfPWZAT5z24YZ21xuLKZonsvlLokf4EJYeUc0BRdKUvF4nCNHjtDa2kptrVnEvpB5QF03+NozfXz9mV5Sis5AIEOdwyDokLiitZS7rmpCFARaytzTVvV03VzdcdhM48q+UBoZheHhYWR3kC2rapZcBwinFDTDQOTsDJuq6wxFMxwbV9A6J1ld4Z0W5WQUjZ+3jxNJK9QFnaZIW/447bJIzjDIKPqsJOVzylT5HYzEsvicEqmsRonLNm1o+lxsqPYyHJ1kNN99LwkCG6bomZ/7xC7YUhWgGQVr9tm3PxLL8LGHzvBcbwRRgG88P8irN1XyiZtntzN/6+5anu8Oo+o6omEgSQJ/sLeetWvNB0o6nWZycpKuri5SqRSBQIBXtAZQbR5cdhuNpa4Z9auRWJa/+9EJuiZSlORNTb99cIimUhcv31DBe69r5vm86F80EiGun73lXDaJSPrFmeF7qdpZwQoiqYVsrZaKggzxuS4zF2LG8Ej7KD9qG6bK76Q/nGYkliVt09EcWW7aWMWaWdKYHx0Z5vO/7iSjamyo9vGx167nzOAYR7vGqKioZG2Vn6tXL1ZD8yyuWFXKD48MWxIkumFKxDx2OsRQQscxkeLUaIJXbaqi2u8grejc+fXDDEYyFMb0rltTajZZCgLpnI7DIcxZCBcFgStbS/OF8xxVPgcba3xz1qPAjDpfvqGcoahJUrUBx7zyJDV+B0G3TOd4Eq9DQtXNpf259vHY6Ume642g6wZGviv+Z8fHeMP2anbM4nxzWUsJH35ZNd9pC4Fk47Vbqrhj59n02OVyUV9fT319PbquW1LKydEBsrKMmJgupXxqNMH3XxiifTiBLApEM6r1+Q72R3n5hgrKPHZetcls1hwbHuCXA7rVmhFKK1w+z2rhcmIxjZzJZHLFSQfDCiKp2XA+JKXrOqdOnSKZTFoyxBe6zQIO9UdxyCLB/BNzOJohnIF3rC7h5q3Ta0GTiRy/PjXO537VgdMu4XPInBpN8P5vH+Rvdtl5za17kG02yjz2GUv1i8GN6yt599Up/vO3XWg6rK708NbddeQ0Hb/dHIaNpBTaBqNU+yt54PCIqSBQGMw1DB49Ncm2Oh+xpIpNFrlxVemMFcRkVuXLz/TTM5lmY42Xt++rn5eYCjAMg5FYloyqs6bSMyMCmQ194TSfe7SbyaQChsE7Lqtn4zxOMhMJsy3EyG/ajLpMDa3ZSCqV02gI2Pj7ayrZtKZ53mOZT0o5mUzi9fl4sFMn6HXjskloebuxwgDxbCu7q0sknh4zODIYwyGLXNYc5K5Z3JgvBl6q0sGwwklqqalZNpvlyJEjlJSUsGvXrjmjs1wud17HE3TnLasEgVKPHVkSEHIGr9tSOe3m7hxPcv/z/RwdjJLMu4LYnDKyrtAfFVi3eS8lnguf13rX1c2844pGsoqp6PnI8VEiaVNoDcwaTEHdYDyRI5e3Pi9AEOCa1WXEQzoum+lyPBVZVedtXztMf9gsYD/REeK57ghffOuWeZ1gFE3n/d9v56muMKIoUOWz85U/2DZtRu1cQlZ1gz/95lEmkjmrC/v+/UPsaynh8pbZo41djX6++oxhLQroeWmH1llW3wbCaX51aoJQOIZhQNYRZWfjwlP+BUyVUtZ1nfFQmPjRboxMjPUBODKhoxkQz0BNwMEbtk/vsI9lVL59Io3X5eWyliCRlILHLs1wgL5YWGy6txIjqRXTEDEboSxllSESibB//36am5tZs2bNnO+9kHTvtu21OGSRzvEE3RNJsorOLWum6zUZhsEPDg3hsctUeJ1IkjmdH09lECQZm2yqHywFiqbzVMckX3u6l2/tH6AnL5sCZlOpNy8fsqrCQyytktUM0jmNcCrHmrwj8OZaX37M46yzsM8pU1/iIuiSZp13e7IjxHDULFwLQEbVOTwQ48RIYt7j/dKTfTzbE0HVzchiKJLhbx6YfyxiLC+oB2fVFnKazsHeyJzvubylhLuuaEAUTWlgmyRy1xX1bDrHLVnRdB49PWkqULhlytwyB/qijMQWP82QUTS68m0XoihSVV7GpuZq7MEq9q6t47pWH/U+kaurdf5qpx01EZr2MNzfG2EypeF1SPidNhpKXPRHMla97mKjmO5dRCyGqPr7++nv77fkfefDhRTOwykFpyzilEU0A5rK3LSUaNNIStEMElmVuoCTdVVeDveHTQUAWUJG4J1XNM47/DsbnukKcWQgSqXfQU41eOjYKG/YUTvDImtVhQdVN3hgsBdVN7hqVRlr83WyG9eVcWSghm8fHEIWBRw2mS/csRlJFObsrUrkVBAES3JFwCxuT1UUnQ0H+qLTlBA0A06OJme8bup363PIaPnGVUEw/98uiwTnaIgtvP/ua5t5/fZqeibT1AWdNJXO7DtK5TQUTafMYyeDgSyJqIKZysLCEe3JkQR//UA7qZyGZsCbd9Xy7qsbuXVbFT84PMJwNEvA5+XvdjexpzEwQ0r5SNTB99qTTCYNRrsibKrxUR90YmAuJrwYWEwkVTBqWGlY8SQ1HwryvoqiLCivUsCFOMZ8+elevE6ZuhIXhmEwGMlweFRj3aqzqYtdFqnxOxmLZ3HoGS6rMujJeFhb5eemjZW8bO3MInlW0XiqK8TBYY2mUMpSUgAzMjsxHKcm6EQWRRwypHIqfaHUDJISBIH11T6uqZe5alfdtG0IgsAHXr6Kd1xWTzSjUh90LthqsKsxYBalC9vHJKn5ZuzALIBLAkzV0ZtP2gXMqO6uy+v5xnODZFUdm2zae926rWre9wHUBpzzjpe47RI2SSSV0zAMU4lUFwzL2GE+qLrBBx48QSyj4rJJiLrBdw4OsbXOx1WrSnnHZfUksxp2WbSi0WAwiM8foKahmcFQgh8+dwK3pBEXDVRV48iA6Zm4p7lkzh6z5UaxJnWRMdtTIJ1Oc+TIESorK2lpaVl0ani+kZSuG4SSOaths+AI87POND/tOk6J18nd17awr6WU23fW8H8fPsRoSqW0rIq715Zz/bqKWY8xmVX54/89RM9ECkVVeaBnP599w2auWHVWkUGWBDTNoJCRqZoxw3NvPiiK2e5QUlJChc9FxTkKBnPN7tUHXfz7mzbxwR+eJJxSqAk4+Pztm6YpXc6Gv3hZM090hkgruqVP/vFZ/OzOxXuva2FTjY+D/VHKPXZu31GzLB59NknkZWvL+PWpCcaTCrIkc83Gmb6Bmm5wqD/K6bEkDllkb3MQhywSSSuW442UH/Q+OZrgqlWliIIwQ62zYyzBd14YJpnTyCo6giRR4nWBHiODjVhGpc6eYqdDobtLo6ysDL/ff1HHUV6q7sWwgkhqIU2pqSd4cnKSEydOsH79essUcbE430hKFAVWlXvonkxR5XegajqnRxPomkaVXyaaUvjYQ6f49K3rSQ6e5s6dFZRW1+O0yXNKCgN858AgneNJbKKAiEmG/+fHJ/j1X15pdf/uaynlsVMTuO0SiqbjtkusXqR3WzKZ5PDhwwSDQUZGRlBV1Rq+DQQCC164l7eU8Pj7L7ekcReDar+TH/3pbn7ePk5W1blqValVGytgrpXM69eVc/08DZnni4YSF2/cUcPxMxkCXjfrZima7++N8Gx3hHKvjWhG4Udto9y8pQpREFA1HTlv/CmJIuVz6LuHUwr37R/EbZOoDzrpDaUJJRX8LhuiCOUeBw67zHtevZlyl0goFGJwcJCTJ0/i8XisZlKHY3kjrJeqezGsIJKaC1NF6gryvsPDw+zcufO8TuiF1KT+5OpmPv9oJyP5YrJuQKVHIqPqZFSdVE7lf35xiL9/zSaqqhZOU8CUgMmpBopgoGkgoxPJe7QVJuo31/px2yR6QymcNpGNNf45nZCnIhQK0d7ezqZNm3C73QiCYOkyDQ8Pc+rUKbxeL5IkLXhTFAhK0XQ6J1JE0woBl41V5e5ZWxJKPXZu3VZN22CM02NJxhJZttf5p6VYL/b4hcchU+6W8LrPnruRWIZE1jRPaBuMUR2wY5dE3Ehk1SwDkTR/dUMrn3u0i4yqIwJrKz1W79O5GI1l0XSsB1NTqYv+cIZIKoeWM0ijsLcpwOnRJMHmINXV1VRXV08z8jx27Bi6rlvyM4t5mCyExUZSc0lmX0q8ZEhKVVWOHz+OIAjs3bt3wafCfNs735pUhc/BPa9dz0TCXLV5x9dfIKHkiOdUJFEgq2j0ZjxE8bA4ijJvZt0wsOX7fVTNoMRjm9Gv1FrhsdxQFoJhGAwODtLb28vOnTtxuVzWStO5ukzxeJyenh6GxiY5PThBeWkpaxoq8c/iSqwbBs90h+kPZ3DbJTrHU4zGsly9unRGS4Ki6TzRESKWUfA7ZYajWaKpSV6+oWJWUgunFA70RohmVKp8DnY1BuZVWDhfWOqnhsEnfnaGn7WPI4kCPofMdWtKTdnl/G513Sxsv25rFasr3BwfjhNw2XjZmrI5FSkcNhHdMKw0V9MNWspcvH5bCz9+5hinkhIdE2k6xvv5efs4/+dVq/E65BlGnoqiTHuYeDyeGVLKS4Gu65Zp61woFs4XwHzpXjKZ5MiRI9TX19PQ0HBBT+ALtcmySSJVPgcpRePWbdXc+0Q3YKCq4HPZaCn38Fx3iLULFJcL2FTrp6nUzUA4jWGAyy5xzZqyOV1NBiNpPvPLDvpDabbW+/mrG1ZbLQhg3oS5XI7h4WFrMWE+Fw+/34/kLeXUiIDX56dzKMmJ4Q5WebKUBIOUl5dbw7eRlMJAOEON34EgCAScMkPRDGFL3O0s4hmVSDpHVd4QwiFLjMSyRFLKjJpYKqfx6KkJBAF8DomhaIZUp8aN68oXVtpcIgrn9adHx/j5iQlTlA/T1fk3Z0K8YkM5fpeMopoKnoU0dVONb1GDwE6biF0SOdgXpdJrRxAErlldxs4GP5952KCyzGEJFw5EMjzZGZpVPthms1FVVUVVVRWGYZBIJOaUUl5MlFVsQbiIUBSFEydOsHXrVkpKLnyE4EIiKYC2gSiff7STRFalxCVT4zbIaAKVJT421vhJ57QlkWiJ28bVq0tx2SV6+gdoqKnB77bPuo1wKsfbvnKAaFoFw6B7MsmpkQTfeOcu06VX02hrawNg586d1sWr67OTFJg37YGBJA5ZoK7Ug1HiZjiapWZVCQExa82y2e12JE8JqmIgCCbxCIJgKrXPsnmzufJc2eKz/55KnOGUQlbVrUJ2hdfOSCxLMqfNKNIrms6hgRh9oTRuu8SuhsCSVsgKx3NkMIaq6daKnE0SmEjkeNnacvrCaZw2iR31/mnkm8ppdIwnyak6dUHnjObXU6MJPvjDk2RVnZymE06pfPgVq9ndFEDRDDIa05o3JQnzu1wAgiDgW6KU8rlYbAtCsXC+BBiGQWdnJ4lEgnXr1i0LQcGFRVJj8Syf/sUZ7LJIuVtmcDyCLkg0ljlprPCRU3Wyms5lLSWmPPFkikRGpbnMPWcNaVONj1OjCQbCqbxRp8FNG2dPFh8/M0kyq+XrQ+aK3KnRBJ3jSZqCNg4dOkRNTQ3JZBJRNJfcn+qcZCCcxiEaXLGqdMZSvaobZFQDX/4hK+SdblI5jZbas2MhqVSKkbEJ4qFh9g8PURn0ITjclPq9BGZpLwi4ZOqCTgYjGTx2iWRWo9rvoMQ98zxIItOIruBMI83C9c91h+mcSFPmtZFWNH51cpzXbK4i6LYxHM1wZDCO3ymxpyk4a1pZIKmagMMcqcn/rBngdkhsrfPNKumbyml8c/9gvplTAAxu3Vo9LWL+7K+7yKq6VY+KphWe642wtd5PJJWjxmPqpVf67KbbtGbWt5aK85FSLrYgLDMUReHo0aM4nU5qamrOu/40G5ZqZz4V3RNJNN3ALuhEIjFqyvyMxTNcVu9GtTuQRZHr1pXTWu7hXx45wyPto8iiiF0W+OfXbUQAxhI5Kr12NtX6kSURh03iDTtq6Q+nOdIW4oodNVTPIYSmz3LcggDxRIL9Zzosy6v+/n4Mw+DxM+MMR7OUe2wcG4yyv6+bN+6sYXdj0Hq/TRIJOiXCiRxVmCSpaAaBc8jE7XbT2tzI22tqOdATpm8sjJhL4I2Nc7J9fMaqlCgIXN5SwumxJOGUwqpymTWV3mnpWyGqKvc6qPTZGY5lccoiaUVjbZV3Rk1K0XS6JtNUB+yIgoBDFkllNUbjWU6NJfjL77db9ltrKz186a1bZ3TSF0jpjp21/LzdPD+6btaP/uGVq+eMgo8Nx5lI5GjIN4smsyq/PDkxjaTGErnpkZIocGIkzkd/epq0opJQIOCRGY3nkASBO3bVsP0CNc4XK6WczWaX1c7qxcSKIanCxRGPx2lra6O5uZm6ujo6OzsvmdX6uXDbZdKZLELWfFohiBhGhq3VTi7felbd8Vcnx3ikfQyPXUYUBZJZlfd99yjXrSnDaZfIKjodEylev60GURSwyyKrKjxEgrZ5e5CuaC1DlkzFAlEwR1tqvTLxwTPs2rF9mtpDRtEZimSpCji475l+2odjAPz61CQfuLGFO6Y0e+5u8PKb0xlzTMQw2FLro26O5kivQ+a6dRWwzlwFmroqdfToUQBKS0spLy/H51tcHUcWBa5dU0bnRIpEVqXMY6O5zD2DMERBQBJMpxcxH2bphoGIwd8+eJJc3nLLMAzaRxJ89KenuKwlyKpyD5tqp8sW+5wy3/jD7Tx6eoJkVmNHQ2DeqCaV06YVy502iVgmaxXIAdZWeGgbjCE7z66EjsZzlHrsBF0OlISAXRT42KvXUht0zmu9db6YS0o5FovR3t5upYUlJSX/v703j5OrLNP+v+ec2quret/XdPa1s0PYV9lJgiAOjDMoOOA4KL7qKL6Or+Pg/ERRQUdBx20UR4WEIAgmLLIFAoSQ7uy971st3bWvZ/n9cboq3Ul3Uh06nQb6+nwidlJV/dR2nee57+u+ruMu/rNWLRlgYGCAlpYWli9fno54Ph0+56dSeFdVFYa7meOE7qgdVyiJL5LAaRJ4oTlAZWWUipEdUJs7ottxjOwazAaRfn+MQocZu1kvZB/sC7BhTh5lOUfJ4GTWv8VOM7/5xzV86y9H6A/EKLIJnFusYq9cjNEytuApifo4S0O3j0MDQWRVnzcRNZUHXmjn4nm55NlNiKKIwyxxfrWNorIiDJIwRkB5eCBEqydMRY6FlRXHa4uO7UolEgm8Xi9dXV2EQiGcTicFBQXk5eWNmQgYLy1mcUkWiqrx8GudPLVvEEkU+NSGCm4aCbSQRIEV5Q7e6fJjN0skZA2HxUCe3UwgJnP0O6/PS/b4YiRV2NU+jKpp1FVkj6nN2EwS1y7LrA9blWtlV9swCVnFKAkMBOLML7SP6Wp+8dJa7v3zEQaCcVQNFhc7ENCwmySC0SQqutd5dCSf73RjtJXy8PAwtbW1xONxhoaGaG1txWQypXfANpvtPSXFPPjgg/zkJz9BVVXuuece7r777uNu09HRwcKFC1m8WDf5s9lsvPHGGyd97BlDUqqqMjQ0xPr168e0Sk8HSU32uJdIJKivryc3N5f7b9nArrZhnmzoQ9Wg2AatwwkeeL6Z/3vVQgodZspyLPpOZ+RoEUvqQsCUalkQ9Hy4pDKWkDI5ii4szuJ3n1zNttcaeLcvgjmvnN1dATqG4mysOxrWYBBhVaWTXa96dc+pkS+TKIoYJAFPRCbPbkJRFF2eoCo4zOIYAv/F6138bGcXkqTvXq5fUczXr5x/wvWZTCZKS0sZkG18/80WvCEfi/JD3Dy3HYfFSEFBAfn5+RM+z5++2sHv3u4lIatowPdeaMNilLhuuU4my8oc2M0S/f44VpPEwiI7NpNEvt3IUCSJQdADQCVRoDrPit0kYRBMHOoPUVeRfcpH/doCG5cvLmTHQReBuMyS4iyuWDJWU1TsNPPI3y2naziKSdKP+d/e3sI7nT5cwQSyomDyBdIhHtOJlATB4XCkBdCjAyvuuusuBgYGeOWVV7j22mvH7MpPhsbGRh5++GH27t2LpmmsXr2aq6++mrlzj88prKyspL6+flJrnzEuCKIosnTp0uO0HKeDpCBzogoGg7z99ttUVVUxf/58TAaJs+bkEk4oLCvTo5ByLRLhhML+Xv1IdcWSIlZX5RCOK0TictoSRY820vCGE1iN0rjjKSfrPCaTSd7avYcjXpnVC6opzrZSnmPFFYzTPRxN305VVZaU6Ba4BlFPS9adLzU0DaoLsjCbzYRCIXp7eykpKUFV1TRpdXhCPLKzi6SiEk+qJGSVp/YN8m738cGjx6LVHebOP+yncTCMNyzzdl+CX7WYWbRoEYIg0NzcTFtbG16vF6/XO+Y5b2sYJCGrI2NHAnFZ5fF3+8e8RrUFds6dm8fqymzsIxqjB25Ygs2oz+hJokhFjoWzRyxeVPTaHYwfkpopfJEELzV72dPl57e7e/lbowdZ1djfG+D11iGaXGGMksC8QjtVeVZKnBaKHCZ6fHEYyaw2GgS27h04pd//XjBe4dxms1FZWcmqVat48cUXsdvt7Nq1i3POOYcdO3Zk/Njbtm3j5ptvJisrC4fDwY033siTTz45ZWufMTupiXC6Uowz+bAODg7S3NzMihUrcDqPFjg1TdfWoGn0+RO0eaMktTjVeV4uXqinpzzw0WXs6fIRiCVZWOzAJIk82dBHfyBOocPEprpSbCaJIwNBen0xynMsJ82/i0Qi1NfXU1RWSV5MxmA4+qETBX1npmkaoijS0dFBYWEh168o4fBAmC17+zBKIrKq8Z8bF+G0GOnt7aWnp4fVq1djsVhQVf3+qqrS4wtglARk9WgdRxQEeoZjrB7HUG40njvsJqloadvfpKyyrzdIRDVQWVlJZWUlfX19DA8P43a7aW5uxmazkZ+fz3hvybEBq+NhZYWTpz+zjiODIRRVo3kwhC+qh6oGYwrnz8sbee/0930gEGNX2zCRpMrcAhtrTuAACrpN8Heeax3J1tPDYX/4UjtdQ1H6/HF9vlLVuHB+HpctOrrDyjIZKHWaMUkgJ+Lk5dho80ZO+nymGieTIGRlZWG323nooYcmnTjU09NDXV1d+ueqqiqamprGvW1vby+rV6/GaDTyuc99jltvvfWkjz+jSGo6Yq3gqAxhojdN0zTa2trweDysW7fuuJERq0ni7Dl5PN3QT+dQBDQVySDwWssQT+zt56Ory4jL+oydxSiSbTHgtBq58/w5KKqW7nD9984OfrOrC0kQUDSNq+aY+Gzl0eefVFQG/DFUDcxqlJZGPQ4+NzeXQ/4B+vwxihzmEW2Wri9SFIXly5fj8XhoamoiFotxw5x8Lp87j7hgYX5xFoVZJlpaWggEAqxZsyZdK0q9HpIkMa84G3mUd4qmaSiqRkW2EUXRtWATvX6SqDuvH0u3owkoVS+pqakZI1a8pExjWwskR7RdJoPIbWdVZPS+5tqMaYO8RcVZHOgPkpBV1lfbqC2wpd/b4ajMs41DmEecC3Z36h7kFy3In/Cxu4aiaYICvSuaUGTqewOsrcrWR44UlZ2tw6ytyiFnpDtamm1BFAUcZpGYpjdRThRRf7pwMpLSNG3Md+/Y227YsIH+/v5j78aNN94IjK3zTnShLS0tpbu7m4KCAjo6OrjsssuYO3cuZ5999gnXPqNIajycrhTjia4UiqKwf/9+DAYD69atm/CNvXV9Jc8fcWGQBEyiSEWeHVXT2H5okMsWF/Lz1zrwhOIIQJbFyKfPq6HYaU4TVIsrxG92dY0cTwREVePppghXrgizNjeXWFLhzw399PlihEIh4iEfd12xkry8HAAuXVTIa81eOociZFkMXLOsGKdZ3yHabDaqqqqoqqpKC/9kt5u4z0d/OIuOeBybzcbKlSsnfH7lORa+esU8vrOjBaMkkFA0bttQkS4+jw6STP1J4colhfzyjS5isgYaGA0ia6uyyRtHIwVjxYpfq65mzu4etu7tQ1NkPlIpUCQPMjioD0Znmq5bkGXiovnHk442svtVNO0okRgsHBoIct68vAmHqAuyTCiqlr7IqJqGourF99QX1CCJCIJuDpjCpYvy+eOePvb3h9E0lSKnzDeuOnFd70zhRCS2a9euCf/t/vvvp6urK/1zT08PFRXHX1jMZnP6gl9TU8OmTZt46623ZklqPEwk6IxGo9TX11NWVkZVVdUJj4Mmg0htgZ1QNImJJBajRDguIwkCLzW6GQonqMzVr96DgTjP7B/gU+dWp+/fH4gjiUKatPT/DwNBfcauvttPry+GORnErETILi1nd0+EisIcQB+WvXJZ8Zgj2niZaaOFf/F4nL1792I0GgmHw7zzzjsUFhZSUFCQDhcYjY+tKefcuXm0eyKU51iZM7IbSSgq9V0+OofCWA0iK8sdFGSZ0q9tRY6ZX/79Cr75bDOeUIKaPCufnsDLW1H1vDoAp8WAJArcsr6SW9brt1dVlUAggMfjobOzE4PBMCZ26lTqS5IkjFGPqpruPHqiR6otsPHRVSXpepIGfGRRAaqmEorLZJkNeMMJHGbDGDL+875BcqwG8ixWQrEEJrORYHxmSGpGY6LPTybYvHkz119/PV/5yldQVZUtW7awffv2427ncrnSXd7h4WGee+45HnzwwZM+/owiqalOjJkI4+2khoeHOXjwIIsXLyY/f+Jt/2hcsbiIV5vcJJIyTlnv6Nx+XhndQxHsoyyCHRYDnvBYX/XKXOtI103FIIrIqm7gX+rQP+DuYIyA10WO1UB1dTUJWcV7zGOktuiZfMAikUg63ivl0BCLxfB4PLS2thKJRHSlckEBg3Ej/cEEFoPEinIn580b+3q83T5MmydCvt1ITFZ5pc3PVYsLyDJLadKMxpNcu7SQ0mwzIHKgP0iOzcjcUUPSSRVeavTQP2LjW+o0c/78/DHteVEUycnJIScnBzgaO9Xa2ko0GiU3N5eCgoIx6uoTQdM0qnOt7B+MMxiIk1RVntnvwheVeWq/i69+ZC7nz8sjOqKLGl2n+ucLajinNpfu4Ril2WbWVGbT6omwde8APdEYBXYTFy3I40B/kHy7ieo8K3u7A5Q4zahKkiyDQlI0sL83wLrqnJOudToRjUZPaXAZYMGCBdx5553U1dWhaRr33HMPtbW6bvCRRx6hr6+Pb33rW+zcuZNvfOMb6e/0HXfcwSWXXHLSx59RJDUepmMn1dPTQ1dX16TsXyIJhWf2D+K0GPAkZIJxmcsWFfKRxYX8rdFN42AIp9WAAHjDcdYdE11Uk2/jXy6q5b9ebgNNRVY1Pr4sm4psE4lEguG+dlTRTEmp7mc0FElQmGXm9293o6ga58/LpyrXkq6tnYigfD4fhw4dYsmSJekvO+jhAqkIJ0VRGBoa4rXDfTT0+Mm1mzHZbHR5Q2xcWZ4e9UjIKh3eCCXZZl31bZSIJBS8UYU8hzVNUj2+BLlWw8iORcFmFOn1xcaQVJMnxjDG9AxcfyDGgb4Aa0Yp4oH0ELPNJFGVax2z5mPV1SmJw0RfOFVVcVqN3FBXwt4eP997vo3hqIzVKBKKy/zfpxrZuKIYUdBraxcvzKeu/GjTZGVF9hi92LxCO1++vJZYUuWtjmG+/nTTyMUDblylN0cSsooBENCDMTJxBJ1KpC5iJ8J7FXJ+4Qtf4Atf+MJxf3/XXXel//8NN9zADTfcMOnH/lCSVGonlYq/ikajGdsPp9DQ46fbF2VBURZFJpns3DzavRF80STnzyug3x9jX0+AuKKysCiLq5YeLxr8u3UVnDcvn+6hCKIgEPL24/KFaG5u5tK6eeR5NJpd4bSu6uFXO4glFTRN4+FX2vnRx5ayqjLnhB/AwcFB2tvbWblyJTabjVBcpqHHTyCmUJZtZmmZA4MoIkkSefkFhMwxzlpRQjIRJxDw09bZzfZgL6triyksLMRis48U0kmfj1T1aMhoqq7hsJkIxWUMBgOqqpBQkpgkLW0Zo6oqQ1EFZ87R3Y/TbMATGhuWua83wO5Ovz5ArarU5Nu4aH6+fjweFaE+eoYt5RSQOhaOdr1MdfdybEaWlDgIxGRsRp3kRUkgEE1yZDDEZYsKicsqzx1yk2836mnVE0AUdJue/29HK+GEnC6wP/ZuH7edVcGOIx7kRIKErFCUK3HJCQr0pwOZGN6Fw+EJh5PPND6UJCWKIvF4nD179pCdnc2qVasmfRaPy+pIqone+ZJGLD8SskauTWRZmZM/vdNLJKHQNBhiSalDHyc5BiVOM7vahmgaDDE85CMZi3HX5csoLyumtETTtVWaxre3NxJJyCNHIYGYrPLd51v54+1rx11fyiDQ4/GwZs0ajEZ9IPfZAy7CCRm7SeLtYd287oL5urhPQy90CwJYrRasVguqJYdFFXasYoz29nZCoRB21U6T30RxrpOEquGwGo5zBFhdmc1zh91EEnE0wG4xsaw8F5NJShfzc61mvJE4FoOAIAqEEsoYS99oUuHdbj/FTrMeka5pdHijDJbEjxuUPnaGLZlM4vV6066XDoeD/Pz8dGcSdEcCVdNGFEwjx2fhaGae2SAiCgKeYOKEJAWwu8uvE55J0pNuZJWkrJJnN/Hly2rZebgXlAQbz5qfrt9NFzJxQJipc3sww0hqPKJ4LxFUE0FRFBobG1mwYAGlpaUnv8M40AMvRYJxBVlVcY18kDu9EX72ajvPHBjEYhQpcpiJJRX+vx3N1Bbax4QsgJ5EcmQgiFOIkSCOKT+Hv7WHWVKt64PyRz7QnmBCT1EZuZ9BFBgKjx/RraoqR44cQVGUMZYtg4E4gZgesQ5gN0s0u8Ksqc7BbjJgEEUWlWRxoC9Irs2gByKIAtUFDpyWPMrKylBVFe/QEPVtA7T3teOwmlk6txjkBBiPfpELHWauWV7MYCCGiEBZrgW7yYCiKBw+fBi73c7FC6r4W6OHgUAcTdPItRlZXHQ0Iiwhq4CQ7rgdVeofLXoPhRPsbB1mKJIg22pkZ8sQb3X6sBhE7jq/mhtXLUXTtHTxPRwOs2/fvvQO7LrlxTxz0JX+nRaDRG3+0echa+PHzh+L4EjxX9U0pFFOEvlZRhYWZ+FUncTj8WknKMjMASEajc5ILymYYSQ1HXC5XLhcLubMmXPKBAVQnmPli5fN4xc7OxiMw7rqLC6Yl8//vNWlK7dVjUhCIRCTcVoMJBWZVnf4OJIaDicIB3wYDKpe/BUlAtEkCVlNa3I0TWNVpZPGwVC6K6Wq2rizdLFEki0vv4s7aaK0qAhPs5eHX+uk1xejxGnm7Dm5aZISUv87StaypioHi1GiZzhKjs1EXbkTp+Vot0oURQoLCrh81BHL4/Fw4MABFEVJf/mzs7PJsRrJGWVRk0wmqa+vp7i4mKqqKgCuXlHKcDiJqqpkW0Q9ZWZk52wSNRwmEW8oRn6WhUhCQeBo8kw0qfDXQ24UVSXHauB3b/fS4Y1gMoiE4go/eLGNfLuJixfoFrzZ2dkMDw+zePFifD4fbW1tXOgMk7XYQltApCwvi3Nq83ijfZioL4qs6tH1cwtP/uUtdpqpzbfS5YuhqBoJRSerH73cwfIyB1fVGLBNw7zeeMjUOnh2J3WGoWka7e3tuN1uKisrp8Tofnm5kwc/tpydO3dy/vkL+cXODuxGCaPBAILuhxSMJfWul6Yd5yklyzLe3jaSikZJVTkB/zBDMZnqYssYglJVlTvPq6bdE+HN9mEEQY+V+toxeptYLMaf/raHPsXB3LJ8/NEkDzzRgqLp2p52T4ReX4xcm5Fcm5HhSJKafNsYSxR9iNfJivKTW4iMPmLV1NSQTCbxeDx0d3dz8OBBsrOzKSwsJD8/n2QySUNDA3PmzBnj/26SxONM61RV5chAkHZPmLJsE/3+OL1DYSxGiYvn55E98joOhZNEEgql2Wb9eDukjwUJ6LvQhKzy3GE3F4+qAWmaNiaNWFEUFvp8eL1ehoe9mIMhLqvMQTbacdqt1BbYCMRk3mgbJhiTqcm3sqLceVyKzerKbFZVZZNtNeKPyXR6I5TnWLAZJXZ3+uj3Ctx99tQHTGSCTGtSsySVASaqC6XqPqc6c6UoCgcOHEAURdatW0dXV9eU1blGt/77/TEaB4PkWI1U5lro9EYRFI1AVOasObmsGrXzicVi7N27lzVzy3GUWHi7Y5hQSCbLJHJ9nR7RnSIoVdWPHA/etAx3KIGiahQ7zWMm8IPBIPv37ydsymN+XjYmg0irJ4JufqCPtIgjn9OkoqbJaGVl9oSv6ytNHh5+tYNoUuWqZUV8+tzqE9r5Go1GSktLKS0tRVVVGtoHebVxEGuyGStxysrKMhpc/fnrXfzi9S6MooCsaty6rpxPn1OBKOh6pmRy5JirqSijSgGSCKNndzX0LuzbHT4qcvVsvmM/R5IkpQvso61NPJ5u/B6Zg94cnm2X0UQjvf4YP3o5gGHEjeGb1yxIq8dtJonPXlDD/r4Ab7QNE5fVtCtGscNMmzdIaPzT+WnH+9nwDmYYSU2E90JSKTIoLS2luro6Pc4x1XWuFw67eLN9GHcoTv/ILFdNvo211TmcNSePixYUpGfQmnvcPPrKQSzZ+Sy0SCwvs+l+Uh4XdoNGQZa+M1AUJf28U8999EiFL5okGJOJBX14ejtYsWIFbYf0eHMTeoiABggjrTi9MCywvib3uDb/sdjVNsQXnzhEUlERgF++3kUoLvOly+Zl9Ho88GIbf3qnF4MokJAV7r2kivl2M4cPHyaRSJCfn5/WN40+irS6w/zi9S4UVW/ja5rG73f3csXSIhaXONKkraoq+TYD5U4TXd4IVpNIXZmT+t6APlKjaQgC5NsNvNvl562OYa5cUnjCz9Foa5OUWv/lg924hoeR5SR7BjUMkt7ZbHKF+benm3jk75alH89qFCnMMmM3S2NGQ1QNXXk/ntXoNGC2cD4NkCS9I3SytItj4fP5OHDgwHH5fKnHm0r87q1uCrJM5NtNeMIJgrEkqyqzuffKBWO+FM2dvTz0QhN5+QXEVIn7d7SgahpWo8RVCxx8bKljQoIajSMDQZ477CYQCBAMhti8YQFZWVmsq9Z44YiHaFLCYZbIMus6JlnRj3w1eVaWZ3CU+9OePpKyimHkiyWrKlvf7c+IpHa1DfH4nj4UVUVRQBMEvvdKP89/fkP6y+/1eunr6+Pw4cNpz6mCggJ6hqMYpaO+6YKgF867h6MsLnGMGcExGFSuXFbC4YEgw6EEayocNLsjvNLiI6GolGabWV6m714jCYWdrcMsFjK/2BkMBrJzcsnLS9LnjyEIASQBEoqCQVVoHFDo9/oozc8B4Kn9g+w45EZRNbzhJDE5RPFI4+SsCgsOS2YjPVONTEMYZqK/ObyPSGqyx7Pe3l46OjpYtWrVcVeIqZY1aJpGLKmHBhgkEavJymBAGDPXlaqJ7W4ewJFXQFmunT++04usqmkr3GeO+Kh2ilRV6QQ60dUvHJd5/rAbJezDTpI586t4szPEvOIcFhY7MBtE2j0RTAaJq5YV8du3emhzR1hUksW/XDQHUwbpx+PNiGbqxNTmiejHMO3ocxAFgd7hGDlWIwaDYUwSit/vT4+9+KMCiaSCOnIfVQNZhZq844vXoihiMYmsqtIdDlRVZVl5DpvqSnm91cuB/hCyIiMKIgYJAnEVzTA5P6k5+TZMBjFtGqgikGUxYDJKJONJBnq66WppJG7I4ulDccpz7RiNEjk2I4cHQtQW2FhXnU2tMXBaE4pPhEwK55FIZNJBu9OFGUVSJ0sxzgSaptHY2Eg4HGb9+vXjDqSejuPeWXPyeK3FS5ZZos0dISor7Gob4tn9A1yxpJBDhw6haRrLli7h0J4+EopKICZjkvQQAEnU/7uve5iLPZ4Tjub4IwkGBgcpdZopLqtAQEAUZEJxmYIsEzX5dmryjxLzN65eOOnn87E1ZbzeNoQ8YsxnkEQ2rywZc5t+f4z6Hj9JWWNekY1FJQ69aB0d1neDmt6FFNCPXiXZ+lFV1TQ8oQSyqpFnM6bHXubNm0c0GqU93sL/7PEgomuY/n51EfMy6LCN3mXNKXRS3xsmIWsYRJX+YJyFRTa0oL4LHYokybWZWFBkP2GdrSDLxCfWV/DMgUHaPVHisoqm6UPEd5xXzeqV5SRkhR0N3UTiIYa8biTJgMVqoSLbxMdWl7KwOIvmZv8ZI6nZwvk0IFOSSnWQHA4Hq1evnpD03mv23nj4p/OqUTWNx/f0AbC8zEmJ08zj7/YSHmhndW0RtbW1RBIKuTYjrhHdU1zRyDJLCIIe3z2/opChoSFaWlqw2WzpAWCjyUQkoYAi03x4Pzarhez8AgQEEoqKqmknjHOfLM6dm8d3Ni3mRy+14YskWVBkZ01VDrGkgsUo4Q7GefbAIFajhEHSbWoSsoox0Eu5XWNOgZ12TwRBFFBUuGFlKfl2E7Kq8lKjhw5vFFHQbW+uWlqUFlBarVbuvmIZG9dFafeEySKGXQmya9cusrKy0q/HyY7+NQV2rlhazGstXpIJlaVl2cwxh/hbl8iQfwCjQXd2qMm10uqN0DEUY0GRnTvPq0p3D1Moz7HwT+dVc82yIr73Qhs9w1HKcyysqnDijyb59vYWGgdDDAYV/HYzq8qzCIWjhCNRupsOIAby07ORZwKZHPdisdgsSb0XZEJS4XCY+vp65syZQ1lZ2Ukfbyp3UqIoYjNJ3H5uNYf6ApTlWBEEgWQyid/nR5tXRlllDaG4QpZZ4rYN1exs8aCoGi83efT1xxVqC2x87Oy52ExS2mPJ7Xbz2tt7eb1PJqIaGQpFOWteMVetKuX11iGG0VtGFy8oOC6gczIIx2XcoQSSKFDiNGOURFZVZnP9ihIcFgMWg0i7N4KqanxkSRFtnggGUUjbnUgC7Nh9mBvrisjKyue65X5CCQV/VKbYYcIo6erupsEwbZ4IFSMmf0PhBDtbhrhuRQmxpMLrrUO0efQ4+XNr86gtHBv44Ha72bt3L4IgUFBQQGFh4bgODgBLSh0sLslC1aCrs4OOgWGC5gKqnbpOLJ5M8rM3upEVFaMk0uwKc6AvyC9uXXFcQrGmaWw/5MZmkjh/Xj7RhMLv3u7FYpRodocpcpiwGEU6h2Ls7w8zp8DGPefPY3mpnaGhITweD42NjfT39x+XrHO6kUl68exOKkOc6nHP7XbT2NjIsmXLxgzQToSp3kmljo92kwGTQSImq4hqkqGhYax2G3tdCr/+2VsoqobdZKAyz0JBlpl/3FDFLevKONAXxGkxcNGCgrS6OeWxlJWVxauDBgTzMAc6hugLwzuDA2S94+IbH6lhcWUhWceIJicLdyjOM/sHicsqqqpRlmPhqqXFuAJx0EhrgkqdZjqHoiNK8KM1KlmWae/oICsrm7lz57K/z4+q6Ta6ALGkQjiuCzH90SRW49FandNqTLs7vNbipc0Todhp1ufmjrjZbDZQPJKY7HA4cDqdzJ07l3g8jtvtHuPgkAp8OHbX0NbaQjQaZcGiJezZ05f+94HhGNGEgsNiwCiJaJpKjy/Kvh4fKyucY46P0aRKqztCWbY5nTYTiMkc7A+O7IQFsq1GqvMECrNM/Me1C9M726KiItxuNxUVFQiCMGGyzntJ5j4RZiUI04CJSErTNDo6OhgcHGTt2rUZW02cjp2UfrUycNuGKv7rRX1o2e5w4DAa2NvtJ89upNcXxRtKIImQbzfxi50d3HPxHG5aXTbhBzSSVGgfGKbP62cwKmI26LWruKLxnRc7+eb6bnKys4mNHIMyGZIOxmQUTcNh1v2bXmsZQhSE9Pxdjy/GkcEgVqOEMqqCLqsaogiiCHML7RzsDzLoC9Pf14vFmcdFy3UPqNp8Owf7QvT745gkgUhS5cL5+QiCQJ5dnyFMRUGlYtdlVaXNE027K9hMEoFYkv5AlGyrgVdbvLSP7LAumJfPnAL7cW4Io62IU93CtrY2NE1j+fLlJBQ17fuUZzMSjMsj3UMx/T4Kqpq2EFUU5WiXVdOHM2VVS0sJFE0jz26kyxtlUEnoIzGiwFk1OccdvTVNQ5IksrKyJp2s814xK0GYYmRqIawoCgcPHgRg3bp1kwoQPV07KU3TyJM9/N0CEUfpMhxWE4+/00t/II6mMWLTIeEKxrGbJHyRJL3+OKUTDK9qmkZPZwexSIikIQtVC+pkpmlYjBIRRWPZ6vUIiQhut5v29nZMJlM6d+3YqXZF1Xi1xcvBPj0wojTbwpVLixgOJ8YkC1sMIv6ozIKiLPJsRt18zyASTSicU5uLQRQpyDJx8Rw7z7x1iIU15SyvLmL+SG6d3Wzg2uXFNA2GiMkqlTkWKke6c/MKs+j3x2l2hRFHdiTnzc1DEgSMkj6XZzYI6fWaJJGXmzy0eiKUjOywnj3o4sZVZWmlesoNIScvj9+91cNbBz1kSf2ck9NMvlWkvLycQCCA0+nko6tKeWa/i15/jIpsCw6LTlqp2nlZjpXlFbmYTdIYTZagqlwyL5fthz1YTRJJRaPYYeaS+fl889lmVP0NQxQFynOOP8aNZ5eSStZJiV9TXc6Ojg4MBkPadsZmOz6DcDLIdCc1K0F4DziWpGKxWHoGrKamZtJv4OnYSSWTSQ4fPozZbOaq84/aDj/+Ti+uUBybUUoLFO1mCTQNDe242kcKqqrywlv7CCXhwhVz2Vrfj4auFjeO3MdqlHBajEg2vTs2f/58wuEwbrebgwcPIssyOXn5vNILLcMJLAYRh8VA7Uhe3IA/xs6WIcqyLfT4YxQ7zKiaRjSpjNRYJK5ZXkLTYIhoUqHUaaY6XyeboaEh+tsbue2yVeN+uLPMBlaPIxiVRoJAV5Q7UVSNbKsx/RpsqM3lpUYPZqNIUtbIsZmoyLXycpM3fcyymST80ST9/hhZFgn3SAOiLNvCfzzbxAtH3LpsQVF412zg97etRIsF6ezsJBgMkpOTw9VzC3HmlOCNKHQNRznQHyQY050hLllYgNV4dGeVCu1wB+Osrs6l0GGixR3BYZFYW+nkj+8OsqDIhiSKIOgE/1aHf0z4aur9PNFuRhRFcnNz08X1aDSa9smKx+Pp6PTc3NxJdwkznd2bHTB+DzAYDOlRCL/fz/79+9OR4qeCqd5JqarKvn37qKiooLr6qEXwu10+Gl1h4kmVcFxBVTWMBoElJVl0+2LU5NtYWHz8FjuZTPKr5/bQ6JdwOh2oAR8Xzy8gJmu0e8Jpt8j/uG7Rce3zlGK6pqaGaCzGZ/+wj339YVTdhYUss4G7LqjBajKQZzfRMxzl5rXl7Djkot8fQ0PvTM4v0onHZpJYeUw6zMDAAB0dHemUmclCP/YdX8hdXOLAYTboOzejQKlTz81LOR+YDClhqUYkLvO/b+tWOBqQbZF47rAboyQgyDJGo0hMgVfaAnx8bXnawSFlktfS0kJnxIAgG9i0vDAtVekdjhJJKGljunBc5lvPNtHQE0BDI99uIs9mHBGc6s0AoySQb9fvH5P1TuuxyOTINRpWqzWdrJMyJDw2WaegoCCj4nsmEoTZndQkMNFxLxaL0dfXlzZwey8v6FTupILBIH6/n/nz548hKIDH9vSSYzVw1pxc3ME4gWiSuQU2Ll9aRJbJwIbaXMwjsVShuEzjYAglmcDd1UJbxMrCylwMoh6V1OqN8J1Ni+kejhKKyywucVCZO7HHkappPF7vZm9/FAHdr0lEIxiXef1AGwsLrChGK+UFOWSZDWysKyEUUxBF0q4Hw5EEf9k/SCiucPacXFZVZtPV1cXg4GDao+pkGB1Dngkqcq20usN86YkjRBIKeXYT/3xhNT1DMcxGkYSskW8z0TkcQ1W1tKPDkcGgbses6kZ7kiSSTKpjAlhFURwzp2dsc7HH083gwCCKqmAy20iK5rTKHuCR1zqo7/GTO1LgPzIQYnFJFotKHDxzyM358/JRuoME4gqSAP6ozI0ri0kkEmNCKlJRY6cCSZLGRKenknUOHDigjweNMvcb71SRyU4qHo9PW7dxsphxJDUeRFHE7XZjNBonFGhOBpPNFZsIqa5ibm7uuF3FWFLBIOmxSRU5FvwWAwgCLzd6SSgqDb0BPrWhinBC5otbDzIcThCLx6nIy6K2yJL2UZJEAXHESO2c2ryM1tbhjXB4MDhyX2FkDk73ocKai2w2koxFyY32snv3QPpLYDPrW35PKMEtv9qDL5pEUeF/3uzm9pUO1hXB6tWrT3pl3tni5ZvPNDIcSTKv0M73blhKVd7JnR87vBG++ufDqKqG2SDiiyR58MV2fvrxFQRiSSxGkYXFDn7/dg9Zo4rTOWYRh0EhKIsIGsiyikEU0gGhx0IQBOqqCzngitPpjSIKKu5AhCW5UXa9sYuCvBwKCwvZ2+3HNtKNjCZVTAYBTziJySBiNxuIJhXuuaSWv+wfJKFobKzL47JF+WgjtaxU8T1VgJ/sjmq8daeSdWpqakgkEgwNDdHd3Z0uvufn549J1jnZTipFoGdKbHoyzHiSkmWZ9vZ2VFUdY+D2XvBeW70p18uBgQHWrVtHc3PzuKR39pw8ntjbi2Q3oaJ/8Y2SwOKSkdEVd5hf7+qieziKOxDDLMjkO2wMhJKohMmzmXBaDITiuiVtfgaGaUlFP1r6IjK5ViPWVIqNqB+TbCYDnzirgiKHmWKnmSyzgVgslibceDxOfn4+T7QkGYokMUkiBlEjkZT51V4/t3/5/JO+B/pO6BCKqmKUBFo9Ye76QwNP3rl+whpcCgf6goiAOHKkNRl0J4SEorJhFEGX5Vho80QodZqJxWI0dfayriaXhoEY7mAch8XAt65dmD62jgeTQeSWdeUcGQjxWouXoYhCd9LAUDSHjU4ngUAAMR4iEAbBZkQAZAVkRaXVHUYb6ZCurso5vv42QgqqqtLd3Z0mCVmW00PuJ8ouzBQmk4mSkpJ0AvV4yTqpXd2JcKrx89OBGU1S4XCYhoYGCgoKiMfjM4LpU66XiUQi3VUcb8xGURSuX15ILCHzcrMXUYQ1VdkM+ONpLVRJtoUWd5gOdxADMjabHVEUMCb15Jh2TwTzyGT9x9eWn1QLNRiIs62+n2BcJhyXiSZVbl5TylP7BnGHEtjNBr7/0aXH7S4sFku6/pEa/u12t6HICgqpVGSBhKoTnT8cJ6Ho7XdJFHin00ebO4LNLLFhTi5/a/To9srouzdpxEX0+SMuKnOtVOfZjlN1p+CwGPRY9JHhak3TUDWOa+lfOD+fQFSm3eXH5XKTl1dAls3CP1brdcqeUZHzJ4IkCliNEr3+GPMKbBgkEW84wV+bQ9xzyTz+r7OUL209gD+WRFEUYrKGGlGo705iNEjcsq78hI/f09OTtnBOPR9FUdKfl9FBq+/18z1Rsk48Huedd945YbLOqcZZTQdmHEmlXiiv18vhw4dZunQpBoOB1tbWM7yyo2M32dnZLF68OL3W0SQ12gPKZJD4xNmV/P1IAu9rLV7+sFsfm/GE4gz4Y4QiEfLNIgOaGVHUU3CHIknMRgm7SSKhalyxpHBMysq4a1NUttX3I6sqZdkW4rLC/r4gvqjM1UuLsJkkNq0sPWl6bmr494qVKnsGm5FlvcGgqBpVToGtu5roi0mYjEZsRpE8m5FuX4zCLBP+SJLH9vTR5AqNuH7qBKPIGhpQ3xPQidfg46plRfT5Y4RiMmXZFhYUZyEKAhtqc1lQlMWRwSCyrCvBL16Qz9yCsZ2nLLOBy+faeCfcwbKrVrCjyc/o5DyHxYArODYCbDS6hqJ885nGkUFs3R2ieiQnMd9uoscXJZJUWFicxSO3rOSt9iFebvLS5AphNYAiy2hqkl+/0sgipx76cKyqu6Ojg6GhIVauXDmGFKRRu6zUMVBRlLQzhyRJU7LLslr1ZJ2enh7WrVs3YbKOOBLEMVmEQiE2b97M7t27Wbt2LS+88MKEt33wwQf5yU9+gqqq3HPPPdx9990Z/54ZR1Kpo1RfX19aoBmJRKZ81m6yiEQi1NfXU11dTXn52KvnaJ1UWlcz6sqU+u+aqhxeafbyTqePHl8URVbItkoUZttxIhOM6Tsgm0niwpH8uVBcZschF3WjDPNa3GFea/EiCgKXLCygMtdKOK4QjMvpgAKzQaLEaeHShQXMKbDhMBtOetQajUvnOXlxr8YrvbonldNiYO2cPA4ORsgRYsSAkMHCG364ankJkiBiMUr0+qM4LFJaka2OxDvNybeyqFgfX+n3RXnk1Q6KHGbMBpGGngCeUJz5RQ4SisoPb1zKjkNuuoejLCzO4trlxcdd5b1eL81NTVywfhU2m43igRhNrjA2kzQyfhOizy+hAefNzRsTFBGXFb78xEE84QROq0QgKrOnO8CcfBs5Iyk3VqOEZaSpIYmwp9vPkcEQgVgSR66VirwskopKIJogHA7T2dmZLnAXFBTgcrnw+/0nTIkevXtKfX5G77JkWZ4ywpooWecvf/kL9913H+FwmJ07d3L22WdnLCQ1Go187WtfIxwOnzDks7GxkYcffpi9e/eiaRqrV6/m6quvZu7cuRn9nhlHUm1tbfh8PtavX59m99ORGJMqnmfy5qeCQ5csWUJe3vGF65SkYTyCGg272cDnLq7l4794h2yDQl6OBZvVwmAozt+vK2dekYM32oZwBePpgEyzQRwTuFDf7efL2w6lj1N/fKeX792wBH80Sc9wFAGN0mxrOjg0z26c1EyfOxTnlUP9NHd0M6+imLJSiSKHbuT2TqcfRAtz5pShyDL+QIB3erw0NbWQ7czC6XCCCkZR5J/Oq2Znq5ehcJJoQuHqpUXp1yQqq3hDut8W6LvALe/2U57rwySJmAwiG+tKjkuESSEV07Vq1aq0BOKC+fm4ggl6fFG6hiIMR5NU5uXQORShwxPhtnMqKczSd5E9w3qOn3PkCJlt1UNOG/qClDjN2Iwit22oQhpJqPnZa50MR5JU5Vk52C/T64thMYjEZY11NbnMmzePefPmpWt7DQ0NxONxSktLGR4ezkjblPr3VOd59AVPVVVkWR430v5UcGyyzoIFC7jjjjt45JFH+Kd/+if27NmTUbyV2Wzm4osv5uWXXz7h7bZt28bNN9+c7sjfeOONPPnkk3zxi1/MaL0zjqSqq6vTDpopnM7svZO94f39/bS1tY3rS5WCIAjIspxRknA0EkZLxqnIszMYVukJhEkoKtsaBnnoY4VcurCA/3mrRw+UlAQGAvExgQv/9Uo7qqql61OBWJJvPH2EFeXZiKLAztZhagviFDn0TL2a/MwFesORBL95rRWvx0NVRQl7esKU51hwWPTnXeAw0uoK6+MfBgOCJYs1tUasJhFNS9I+6CMRi+K0megcSLKiNIukJmA1ioQTejgFgD+SJNd+9KM3FE4wGIyzpiobi8mAP5Lgd291s2FOLtlWI4tLHWkPrN7eXnp7e1m9evWY45XTYuTv1pbT5g3zv2/3sKzMma799fiiNA2G0iRlNenjPkflEXpogqyoROIKBvHoexhNqnQPR9OEGYkrtHjCDAYTnDM3lzvPPyo7MZv1Ir7D4WD9+vX4fD4GBwc5cuQIWVlZ6Z3MyVr9owkLjh4LR3cLU2M2J9tlZeJoa7FYqK2t5dFHH33P3cfx0NPTQ11dXfrnqqoqmpqaMr7/jCMpo9F4nGvm6Uwxnmhrq2kara2tDA8Pn1D2oGka2dnZHDlyhP7+foqKisYdSQH9iNJ65AhLKnI5MBAhGNOLrwZ0mcCv3ujma1fO57plRTz2bj/+lK5q0VHRqj8qj4n+1jTwReSR9r6V0mwL7mCcj64qZe6IsjyFcELGYpCOE4Du7w3wRtsQjb1ePP4gly+vwWw2UZGj0uqJsKzMqRvzSRKLih30+2NIgoDFKHLHeVV4Qkm6hiLYqgtZXu5EiUV4q6mXPs8AhVaJutIiOiJmmob0OPXz5uXR7Arjj+qpxN3DMXJtJswjpDIYSrCvJ4A0Ynp3ZDDEDStL6evpxuPxsHr16uPet2cPDPLAC60kRnaY168wYjFKqKqW9sRKodRp5tKFBbx4RHegSCoqCLCy3InJIPJ2p5/bf1dPXYWT28+pwmaSiCZVbCaJeUV2jAaBW9ZV8JHFhWNMDZuamkgmkyxbtkxP1RmlbUo5ODQ0NACc1MFhNE50LBzt3jreLisTkho9t3fs/Tds2EB/f/9x97nxxht54IEHTvi4ozF6DZPtJM44khoPp6PrcCJBZyq4QZIk1qxZM+GVJfVByc7OZsOGDUQi+gxdSmRXUFBAUVERWVlZ6R3AmjVrWFAncOfvGxiOJBFVjYVFWZQ4zXQORfTH1fSgTptJ7zr98o1O7r64FqtRYn1NDs8cGNQVz+jt8PJRu6V8m5F4UqEqz5omqIFAjK9sO0yLO4xBFPjnC2q4ea1eV2t2hXjmwCCGZBg5FiEq2OgOJJhXaGJOgY1ef4xeXwxBgMIsMxtXFBOVVZKKnpNnNUoUOSwsKR0VsGAzcc3ZOcDR8Y58/yArDDEK8vMpKc5hWZmTV5q9+CIyi0r0eT5Vg6Ss0DgQotBhojzHgqJq7On0E/C6qbYrXHr2yuOKvIf6g3z3+RYMokCWWcIXTfJEwwAXzsuj2R0ZMdczsXwknksQBL56xXyWlTk5PBAkqWh4gnFsZgNvtA3pzxe9uP6tZ5v45NmVPL1/EH9UD2pdUurgogX5YwiqsbERRVFYunTpcZ9XQRBwOp1jHBw8Hk9GDg7HIpNdVup2giC85zirXbt2nfC+maCyspKurq70zz09PVRUVGR8//cFScHU6zgmGo1JJBLs3buXoqKiCecCJyqQ22y29HE1kUjgdrtpaWnB7/cjSRKLFy/WB4AtIp88p4rH9/RRnmNBEkWGwglKnGYSssrWvf00D4YJxvUdZddQjPPn5bOhNo/PXjiH4UiS11uHAFg/Jxd3IMZrLV5KnWYsJok5Bba0kl3TNP71iUO0eSLYTfr84E9e7aAi14KAwNP7B+j3+KjNFlk2t4Jwh48Wd5hih4WhSIKPry1nfqHuXlnkNGOSRCaj9R893pGSN/T29uL3+1mRnU1hVSG5eXnsbPPT0OMnLuuOpRaDxLvdfmIJhXa3n0CWhLu0gJKB8HFxW/v7AiPjKfpzzrWZGI4kaHSFKXaYmV+UxVAkyRN7+7ltg573JwoC168o4foVJTS7Qjz8aieJpEKfL4ZJEojKKnFZV6yHEjJfv3oBnd4IFqPEipEdV+r1PXz4MIIgsGTJkowuqGazeUyk1rFdt1TxPZORo2N3WaP/aJqW1kid6BgXiURO69ze5s2buf766/nKV76Cqqps2bKF7du3Z3z/GUdS06XVGG8nFQqFqK+vZ/78+WOy4UZjIoI6FimRndfrTWfPDQwM0NjYSE5ODnV5+ewvzqLFo7sB2IwSn9xQRVxWaRwMEYrJWEYGXb3hBH9rdLOhNg+bSeI/Ny4mnJDxRZL8Zlc3mqbR54tT3xugrtzJ5rqjoaehuELrCEEJgp6sG03KbHm3j3y7CZdniOGoRo/VRoUksbTMQZ8vhs0sUZnv5E97ejnYF8Julvg/l9Zy1dLxX5djEU0qvHDETSAqs6LcyfJy5xhv89TUv9vtpq2tjRyzmcsqc3mhU6HHF6VzKKoLCjSV+flGVs0tJSarPNnQz4Ii+5hUYafFgMDRRCFF1YPTFxZlpaUbDrNEuzdCXFbSBJ5CtsXAnAIrB/qCJFWNcEKvSw1HksRllb3dfj6+tuK4MSRN0zh06BCSJLFw4cJT+uyO13Vzu93s378/PfJSWFg44cjLaIxHWC0tLTidzvQua7xj4XuxaVmxYgX9/f0Eg0EqKiq47777uO2223jkkUfo6+vjW9/6FgsWLODOO++krq4OTdO45557qK2tzfh3zDiSmgjvNXvvWBy7k/J4PBw5coTly5eTnX18MjBkTlCg78gaGhooKiqiqqoKQRDSqmCfz4fL5eI8h5clNjNZ2bnUzSmhMNtGsyuEJ5TQk1Y0CYtRQhRgODK2Tmc3GdjfGyCSVFhU4mBRsYOkouIKJcYELViMIpIgoGgahrQkQqN7OIoY81Oea0GwGBgOJ2lxh8mxGrjzvBrmFdm57bf1NLvCWIwiCVnlP7c3U+K0pLtyKUQSCqF4kuGITEJW8IQSPPRSOwOBOKDbIn/lI/O4fsVRj/TRU/+pvLuuvkH+uKcXkwCKKBKXVRQN8rP1FJjBYJxwXOE3b3Zzy7ry9IzhxQsK+MPuXt05dGT055KFBQjoA8JJVUMS9E5pUlEJxXULZ1EQeKPNyx939+leUYpKVa6VVk8EoySgalrabTMYk8cISlVV5eDBg5jNZubPnz8ln8vRXbeU31RKPZ5ycCgsLMzIb0oQBJqbmzEajSxYsGBMAtGxmqz34sq5b9++cf/+rrvuGvPzF77wBb7whS+c0u9435BUast6KqKz8TB6J9XV1UVvb+8JjfMyiZlKIRwOs2/fPmpra4/bkYmiSF5eHnl5eSwcGRZ1uVy0Ht7PnqTIb48omAwC0YRuFqdP/+sq6F1tQ5w9J3f8Iyi6KvzYSBejJHLn+dX8bGcn0YSMIOgdreFgGEE1Y1MllpTY6RqOUltg4yOLi6jKs+KLJml2hdIumqIkEI7LvNUxzKrKbIJxmb2dPhp6AzS7QyRkGIokcJhE2rwx3W1T05AkEVVL8v+ePkKfL8a5c3OpLbCnXQbgaN5dbnEZRmMfFkkkkYhjMEIwCb2eAFaLCbPRQEWuBV8kyQuHPdywSt8xWowSj9xSx9P7B/CEEiwpcXBWTTb/96lG3jnkQhAEJAFWVDi56b/3AHoKzD2X1PLHd/rIsxsxGyUSssqh/gD5dp3AjJJAdZ6VcEIlJis4Rr4uqqpy4MABbDYbc+fOPW27f5PJRFlZWdrBwefzpd1IzWZzuvh+bJMmVSPTNI1FixaNKayn1j+6+P76669PqcneVGPGrexkFsJTRVKiKCLLMocPHyYajbJu3boTdvoyJSifz8ehQ4dYunTphDuyFEYPi86dO5en9nYTl7upyoI2n4aKQFxWsRhF7GaJ37zZTSguc/niIgDmF2XhC3fzcpOHpKIX2j+2uvQ40eat6yuoybexp8uHJxCl3+XGlpWNN6a34Q/0BVlTncONq8vS0gZdp6V311KmAIJuTslvdnXxUpMXXzSBrKjYjRL+mEJptoWO4aiegDPiYCkrKoIASU3jmQODvHDETVWelWuWFXPevLwxR6/CLDN5NiODvgh2swFJlLALCgaDkXAsQSIWQY4bCIZMBCKJNEmBbikz2sPpUH8QUYRVldmoGvT7o7x4xEN1vg2DAO3eCN97vgWrSUp3FU0GEYfFiKLpIaw2k4QnlKAs20LeSFBEypYn9Z5NF0Zf3EC/EHo8nrRv2OhjYXNzM4qiTFgjG118f+qpp9i3bx9/+tOfpu25TBZnfhguQ0x1oKcgCLS2tiIIAqtWrZqQoFJb49Sk+IkIamBggCNHjrBy5cqTEtR4sFosmExmKovzWVuTS45FwiTBkmwZsxLFadT460FXuonQ5g7zbneAcFwP/wzEZF5vHRp3bu3cuXn84+p8bAkvEdGGJ6aRVDSMoqAP2q4tGzMbaDVK3Lq+nKSqEkkoRBIyFqPEa81eHn+3j05vGLMoEEmo+lyfoqKMCEhTtTRN08dhND2yDrMEnnCCJleIB55v4b5nm+j3H12rnExw23yFgiwzCVUgKat87uI5/Mulc5lfmovZ5gSDGW8kyYEuN4+/sIuOjg7C4fBxz9c7cuwtz7FSmWtF03TCFUcuMjlWA02uMF3eCIf7g8SSCglZj7P/9LnVoOmzkDV5Nv7PpbV65JiipMeippOgxoPdbqe6upq1a9eyZs0aHA4H3d3dvPLKK7jdbvLz80/6fdm+fTv3338/O3bsYOHCyceeTRdm3E5qIkylVirlTVVQUMCiRYvGvc1k6k8pr3Wv15uxz9J4WFnpHJk5i2MxihgMBspzTVRX5BCLxQiEIgyHYrz57j6qy4p57F0viqqlrX+TikrXcIx2b4SKY4q8Ho+HQ41N+KVcAvEIRQ6JBAqBmMzVy4ooch5/zP3nC2qYk2/jrY5hAjGZIwNBvZYl6sfLoaiMpkFcVhEFfb5PGnHPzDJLRJL6+2WQBOwmA4G4CmhEEyoJWeGNtiH6AzG+ec0i8i1QX1/PBSsXsPGSfLzhBA6LAatRIppUeGLvALGkjEESybLpIzZDRgl3ROHpF/ejKTLnzS+ktqKY7OxsZE1jMKDrsoocZkRBJ0pRgFBCwRWIE04oWAwC/YE47d4IS0oc3Ly2jEsWFvKRxYUkR+yLgTRB5efnH+cbdqZhNBopLi4mFAqRn59PZWXlGBviVLdwdN3pb3/7G9/85jfZvn37hE2imQJBm2EeDam26bHYt28f1dXVp7RDGY2Us2dubi5Op5PKyspx15ApQamqyuHDh9E0jSVLlrxntW6vL8bWvX0MR5IUOcw09PpxmPU0kw5vBF8kiUHUkDQFQZXpDGrYjBKSJJFUNVRV49+vXchHlhSlH7Ovr4/u7m6Kaxfzw5c66R6KMhxNYjcbsBpF7r1yPqsrcyZcU4s7xBe3HMQbTiArGoaR45zJoM/rMWKJbBAEChwmwgmFbIuBfn8MBL2WpWp6x0/TdIvQmKJiFEUMksCSYjs3V0VYuXzphGk//72zk+cOu4jLGiZJHzGak2fjnW4/CVmvsThMAvestTEwFOCFPonBKIQS+lFwfpGdXl+MgUCcYCxJQtGwjHhCzSmw4Q0l2LyyhE+dczwBKYpCfX09hYWFVFVVvaf393ShtbWVcDicFpKmEI1GcbvdeDwe4vE4zz77LE6nk8cee4zt27eP+/mfaZhxO6kT1aTe63FvYGCAlpYWVq5cydDQ0IQJNJkSVDKZZP/+/WRnZ1NbWzslBdTyHAufu/hoe3Zfr5+n97nwRRMMR5KYDALesIysaCRlAYMkEk2qqAmFhAoOk8C2+j4UTeOKxYV0dXXh9XpZvXo1zzUO8XrrEElF91f3RWUqcyyYT1Ln+92bPbhDCRKyHkuVUDRMkgQIFNpNnFWby1k1uZSOBBtYRmLJE4qKL5KkxRXi7Y5h3ukK4A3FiSVVBEH3UjeqAvVdPq5dMpecnBwSI6MpTqthjFpe03RpQL7dhAC4gwkG/PF0lBToYz27/VnEVSv5jiiF9jjeQJShhMzSPAf3Xr6Iu7ccodhhoms4RpZJIq6oBKIyWWb9+RwLWZapr6+npKRkUgLE6URbWxuhUIjly5cfd5G0Wq1UVVVRVVWFLMvs2LGDH/zgBxQUFPClL32Je++9l5UrV56ZhWeIGUdSkHliTKbQNI329nbcbjfr16/HZDLh8/mOI73JFMij0SgNDQ1UVVWdNIz0vWBFeTYryrPZ0+XjP7c3MxiIY5QEzAaR8MgAscUo0eOLUWI3sKLIRDwW4n9fO0J0oI3qHFPaKuTXu7rQ0I89BlEkqWj4o0m6hiMsLXOM+/uDsSSvtHgJxWUY8UkXAKsJ/n5dOR9fVzFhcrI/miTbauTyxUVcvriIdk+Eh/7WymstQ+l4rFhCw2ISeb0rhGAc5MG/tSGrehLLf25czJwRi5bBYByrQcQTiuM0G1hamsWbHb4xw9NGSWQwENM91B1W/DETtmwbQiJBQk7SduQgUiJGYZaVqN3AUFRGRCAhKxglA3UVY0WiyWSS+vp6ysvLT+t7/F7Q3t5OIBBgxYoVJ93F19fX8/TTT7N7927mzZuX9pia6ZiRJDUeTpWkUnoWTdNYt27dmM7GaDHnZAgqEAhw4MABFi1aNK4rwulAltlAXFbTBXxN0xAlkTy7mX+5qIbH9vRTlq0PrsZlhYEOF76EyFyDgbfeeovc3FyGwwlMBnEkXkuvD8VklRePeLhoQQFW4/E7qp+91oknlGDklJbGubV5fPr8mnHXmlBUvrO9mZdG0pmXlzm5b+MiagvtfO+jS/nIQ2/gCsuIChj04BwaB0O83eHDbBCxmURcoThfefIQj35yNW3uMIcHQsQVDafVSELWi/lVuVZcwQTZVgEVvXHQORRFUVV2R2TisoKiaCQUjaLsYtavX8HlcgcvHB6kyCwTjMiEkpBnk/iHsypYM8pdM5lMsnfvXiorKyktLR33eZ5pdHR04PP5qKurOylBNTQ0cOedd7J161YWLFgAwPr166djme8ZH2iSSiQS1NfXk5+ff9xxbPTjpfQimfj2pEZdVqxYMa3pGguK7KypzOaZgy7UhL7uYocZi0EP9TRKAt5wgj5/jMN9fpKqQGcowaGInb9bs4gCu0Ktc5i9A3p9SNEYiYjSNVhP7xvgY8fEMIUTMk/vH9QdNgUQRhFVqzuCL5ogx3q8Dcz/vt3DS00esiwGBPSxlR++2Mb/u2Yh+/sChOKp+TIBAf3oGR9xI03JJ5wjAtMub5Ste/t1x05VIynrA8P+mMJ91y/i/udaaPdGiCQULEaRBUV23KEEze7ISGyYgEGEZw4MMr/Qzi1nVWM0GtndOcxZeSIXVluptkTx+VrZt8+VbuMfOHCAmpqaGVtU7urqShvqnewze+jQIT71qU/xpz/9iSVLlkzTCqcOH1iSCofD1NfXU1tbO+6VMKU4H01QJ6spdXd309/fz+rVq6c9WUMQBP7t6gVYjBJvtHmxGAw4rRI3rCqjOs/GvEIbv3qji2BMf42MBv1Y9kab3pn77IVz+M7Na/nKtkPs6fKhqhp2SaPIrCAn4/zpnV5ybUYuXFCQ7mhFEyqiIGAQBZKqliYoEd3a+JP/s5fbz6nm3Hl55NqOktU7XX4MkpiuKVmMErs7fDzyajt/eLsrLX0Q0BBEAUkUqcm3cXgglN7JyqqGomn86Z0e9nT7iSRVLAY9ul0DcqxGynIs/OTjKxgIxPjvnZ0kZD2hOOXNnlRUcqwGBEEgllT5y/5Brl5WzK3rK7h1/dj6kqZpBAIB+vv7OXToEFarlVgsdtrn2k4F3d3duN3ujAiqsbGRT3ziEzz66KOsWLFimlY4tZiRJDVRTWq8rt94GBoa4uDBgyxfvnzCbtFoo7pMJAZNTU3EYjHWrFkzZYLSycIgiXz1inm0esoYCicocpipybfRMxzllSYPeSaFpKIXrVO7kqSipcnqMxdk8/Nb69hW38fLjV5ybUbe6Rwm4ksgaQq/f+0Ihzuy+dT5c8nKyiLPbqQ630okoZCMH63fGSV9F9Tji/HACy38/HUji4qzqMqzMiffTjSh6OMoskpyJCMPAX79RieyoiFJgu7fpIFRFHBajNx+bjU/faWDVk8YdYQQFxVn0eePs7TUwb7eIKoG+3uD+GMyTouBN9p2s7zcSW2BDQTSkfBZZin9+REEQf+dooDJKBFOKOSNMwEiCAJmsxmfz5feJbvdbg4fPkwikUiru7Ozs8+oF3hPTw8ul+s4S+Lx0NbWxq233sqvf/1r1qxZM00rnHrMOAkC6PWAY4d/BwYGCAaDzJ8//4T37e3tpbOzk5UrV054BdQ0jWg0yt69ezEYDBQVFVFUVDTuSEzKtsVisbBgwYIZaVb/yqFeHnyxmVxnFgcHoiQUBVXTj0yqpuuvFhbacViNdA9FKcgycWQgxJvtw8Rkfei0LNvCuioHe7t8LMiGyiyVyxcXY8rK5Tsv9bCny488oiI3SSIauhJd08BpNYxojkQEBGRNYyicQFVJN8yyjPoRUxSlES93DUnUle03ry3jrvPn4IskeaXJwystRx09/bEkK8qzsRhFmgZDNLvDVORaEYCBkfh6i1Gf87MZJRaXZGE1SrS4w/T4Y5gkfXaxMtdMsdPC/ZuXjBlOTiEWi7F3714WLFhAfn7+mH9LJpN4vV7cbjeBQCA9Q5efnz+tF6ze3l76+/tZtWrVSX9vV1cXH/3oR3n44Ye54IILpmmFpwfvG5JyuVwMDQ2dUHzZ3NxMIBBg5cqVGY+4RKNRXC4XbrcbVVXThGW324nH4zQ0NFBaWjpj9SRut5udDU1s6TRR5LTQ6onQ64vpX1qTRE2elVybiT5/DPdIpFa+zchQRLckjskqFoNIQlGxm/Q2/NrqHCJxmXk5AqvyZMLhCEOalf/ZF8EbkTEb9eK7ySCSUDTsJolQTCbPbsQXlcmxGRkKx9PHLIugoQh6R1JW9RqRqumq9quWFXHB/Hy+/ddmPOEEVoNIsdNMXXk2rmCcA30BJEnk3NpcDvWH0jOGza4wgqB3EJ0WI+LIALHDYmDzylLOm5tPoyvI797s0b2wHGY+d1Ftuls4GtFolPr6ehYuXHjSRsjoGTqv15u2ViksLDytJYC+vj56e3tPOB0x+rabN2/mwQcf5NJLLz1ta5ouzEiSkmX5uPqT1+tlYGCApUuXHnd7RVHYt28fZrOZRYsWTXhOH01Q490mHo/jcrlwuVzEYjGSySRz5sxJuxjMNKREmnV1dTx1cIi/7B9AAIJxmTn5VqwmA6XZFtq9EV5r9uK0GtBGRJXhuEJtgQ1POImsqMSSCqKoZwKuKHciKypvtvsoy7EQT+rpykZRIxxXiatgM4qYDdJI8VuPurIaJcIJGbtJos8fT8ejZ5lAQycfTyiJ3SSRZzdy6aJClpU5+I9nmxiKyBhFnTRlVeOapUXkZ5locYXZ1xsAQJIEogmVmnwrff44iqpnDBY5zLpswakHO/zHdYvStskJRSUcl3FajMc5ksLRgI3FixdPuh0/2lrF7XYDk3PczBT9/f309PRkRFADAwNs3ryZ73znO1x11VVT8vvPNGZkTWo8GAyGcQvn8XicvXv3UlpaesJxhUw6eGazmcrKSux2O4cPH6ayspLh4WF6e3vJz8+nqKiInJycM05YqTGcoaEh1qxZg8Fg4GNrylhXnYM3nKDYaR7jfXTLr/ZgNIwUsgWQRmpw0aRutRtJKMiqhqBohOMKHd4IsqLiiyZZVemkoSdGXNEwGQyYzRpqXEZRNbINSXwJUBGRRAlFVbEaJdyhxMjMnoYoQCQJdrOAP5qkpsDKeXPzaPdEOdQf5OUmL4PBOHazAaMoIkkCw+EkhweCnFObT/dwjGBcwWoUkUSBHJuBDm8Ui1EkIuvho8rIuTLbaiCaUNMhFoAe7GAbP4gileu4ZMmSCWuXJ8Kx1irHOm7m5eVRWFiYURDDRBgYGKC7uzsjgnK73dx4441861vf+sAQFLyPSGq87l4wGKShoYGFCxdSWFg47v0moyAHfXfS1dXFmjVr0jUqRVHweDz09PRw6NAhcnNzKSoqIi8vb9oDS1M2HMlkklWrVo35/XMKbOMeZ/LsJgYCcaJJFaMokFA0qvMsRBK6t5LZIGLU9Fj4Nk+YwUAMRdPIsxrpC8TwR5OI6CZwWRYDJoMeG7WipoABf5Q+X5RgLIms6nWwhO5/jIoeepBQNIyiSG2BDZvZwJGBMGaDiNNioNcXI6loxBIKqkEjHJfRgD5fnN1dw7hCcWwmEUdaJ6Y/zwvm5ZFUNF484iYYVyjMMhGKKVy4IJ8S58mPXaFQiH379mXkVpEpjnXcTO3+jxw5gsPhSM/QZTrbOTg4SGdnJ6tXrz7pfYaHh/noRz/Kvffey8aNG6fi6cwYvG+Oe9FolIMHD7J27VpAr1E1NTVRV1eHwzG+WnqyQ8JtbW26re2KFRNetVRVZWhoCJfLxfDwMNnZ2ekP3+kuoqaK+FardVJGa2+2D/HDF9sYCid1XySzgR/cuJSXGj281jqEQRRocYUwGkTCcYU8u5GhcBKDKGAzS0TiCuGEQuq0pGhglAQkUWBhoZ3FZU5EATo8IXyhKK3eOAlFQBixt5JEQS/eFzsIRJO82Ogm325iOJJEAvxxZcShQHcpMBsEKnIsiIKIqmm4QwndWUHTiMoai4vtfP3qhdTk24glFf7W6GEwGKc238Z58/LHPdaNRjAYZP/+/SxfvnzCz85UQtM0/H4/Ho8Hj8eD0WhMf2Ymau64XK50bNexoaPHwu/3s3nzZu6++25uvfXW0/EUzihm5E5qvC9faieVCg8dGBhg3bp1ExYrJzskfOjQIURRPKn2RBTFMXavKZfN1tZW7HY7RUVFk7paZopUenJBQQE1NTWTuu/Zc/L4f9cY2dPlw2yQuGB+HiVOCz2+KLs7fRglYUTFru+65hbaGY74sJokBASsJr17llR1OYPZIJKUVeKyRqsnQjipsrY6B1EQcQcTqIgoqRkaQFM0nMTxB0Xq+2PIim6DIqsaNpOBHKuBaEIhPhLuMK/ARrHTzIG+IAaDSL7diDecJKmomCSRc+flU52nH2ctRomrl2UuuExNC0ynGFcQhHT8+bx584hEIng8Hg4fPkwymUzXsVIWwSlL5WNju8ZDMBjkpptu4p/+6Z8+kAQFM3QnNdredPTfvfnmm+Tm5pJIJFi+fPmEO5fJjLikvvz5+fkTBi9kglRsUapTaDab0/FW77XrE4vF0unJUzmikVRUfr6zk7fah2lyhfWdUbGdYEwPwDx7Th6RhH788kWTtLrCmA0CoYRey9I7dAJWk4GFhVaGfX76ohL+uIJR1P2bkiNSg3NrnERjcQ67dRuaSFIjoWqgCZTlWDAbRAYCcS5dVABAPKngi8rMLbBR3xsgllQRgdvPreLqZcVjho8zhd/v5+DBg9TV1Z2yXe5UI5lM4vF4cLvdBINBrFYrkUiENWvWnDSgMxKJcOONN3LzzTdz1113nfFa6enC+4akEokEr7zyCjU1NcybN2/CN0TTtPR9T1YvikQiNDQ0MGfOHEpKSk5428kiHA6nO4WiKKalDZkkwx77OKm627H6namAqmn0DMdocoXYVt+PN5ygMtdKLKkSl3XXgZisuxnoXuYyg4H4iJwAzAaBpKKSbVS4fEkJ7/aG2dcbTB+5JFE/9q2qyCacUOj1xVhabGPAH6FzOIEALCyyEJZFDAYRu8mApJ/s+IezK7hgXgFtngixpEJ1vjXtaz5ZpBxTZxJBHQu3201jYyO5ubn4/f4TyhtisRg333wz11xzDZ///Oc/sAQFM5SkVFUlmTwaLZ5qE8fjcS6++OIJ7zeZEZfUVfVUOzuTQcrTx+VyoSgKhYWFaS1WJlbEy5Ytw+l0Tni7qURq99nvj/FfL7fT549hMoh8ckMlVqPEd55rodMbIaloFGSZqMo20u0J8E8XzuW6lZX86o1OfvlGN4qqjgRAQGm2mT/cvoZ+f4wHnm9F1XQJw5HBEKG4TJ5FZHGuxmWVEh4tC8nqYFlFHkvKpuY5Dw8Ppx1TJ3uRmC4MDQ3R2NiYjo7XRvzvU15QQDpotLS0lE984hNceOGF/Ou//usHmqDgfUBSw8PDHDhwgKVLl3Lw4EHOP//8424/2Q7e4OAgbW1trFixYtqvqolEIr3Disfj6QDRYyOLUoPMdXV1Z2x2LOXhZDGKGEZ2pQOBGLs7fDy1b4BILE40GuXvz5nL5tUVCILAcCTBvz/TxKH+AHFZI9tq4Ps3LGV+sV7/6fBG+MPuXjzhBIuLs7hpTRlWk4RJEonH42nNUTQaTddq3ovsw+v10tTUNKMJKkWiKYIaD6nX5v/8n//DSy+9xPLly/n2t7/NBRdcMCX1z7vvvptt27YxMDAwoW/bSy+9xGc/+1kSiQQXXHABP//5z6clwGFGk1R/fz9tbW2sXLkSu93Oa6+9dhxJTbaD19nZidvtpq6u7qRFydONVD3C5XIRDofJy8ujqKiISCRCX18fK1euPONrnAh9/QPsb2pn3ao68pxjSTSckDncH0LVNBYUZZFjm/yXKBUk6na78fv95OTkpGUfmXZRU4GbJ/ryn2n4fD4OHz6cEYnKsswdd9xBVVUV5513Hk8//TTnnHMOt99++3tex86dO5k/fz7l5eXjkpSiKMyfP5+nn36apUuX8rGPfYyrrrqKT37yk+/5d58MM5KkFEXhyJEjDA8Ps3LlyvSVYufOnZx77rlj4q0n08FL6YuWLl16xoaEJ0JKV9PW1kY4HE6HaE7mSzld6O3tTZPoVHcxx4OqqgwPD+N2uxkaGsJut6drNRP9/lT006pVq6bdsSJTpI7zq1atOilBKYrCZz7zGYqKinjggQdOmz7PYDCMS1Jvvvkm//qv/8qrr74KwI4dO/iv//ovnn766dOyjjFrOu2/4RQQiURIJBKsWbNmzJuRkiEYDIZJdfBkWWb//v1kZWWlc8hmGkRRxOv1kpWVxdq1a/H7/WktmMPhSEsbznQ+WipwIhMF9FRBFEXy8/PJz88f00Xds2dPekB8dP7c4OAg7e3tGbXwzxT8fj+HDh3KaAelqir33HMP2dnZp5WgToSenp4x86tVVVX09PRMy++ekSSVlZU1rjnX6Oy9TDt4sViMhoYGysvLZ6xHdUqkabPZ0iQ6+kuZIqy2tjasVmv6SzmdX0BN09Jm/8cq3acTgiDgdDpxOp1pzZHb7ebAgQOoqorFYiEcDrNmzZoZS1CBQCAthThZvVFV1XRx/Mc//vEZe91hrH5xOg9gM5KkJkLKUyqVf3eyHVFKWXy62vdTgZSPdnFx8bhJJKOFgPPnz08nHr/77rtp5fJENjNThdQojizL45r9n0nYbDaqq6uprq6mq6uLrq4ubDYbe/bsSQdm5uTkzJg1B4NBDhw4kJEUQlVV/u3f/o1gMMhvfvObM/ocKisr6erqSv/c09MzbRf9GUlS48aIjzgXeL1eysrKTvqGeTwempqapm304VSQEmnW1NRkpNM6NvE4EongcrnYt28fQHqHNZUdy5Qa32AwsHTp0hl5VAa9TjY4OMhZZ52F0WhM1/j6+vo4fPjwGfOAGo1QKMT+/fsz6iprmsZ9991Hb28v//u//3vG65Jr166lt7eXQ4cOsWTJEn71q19xww03TMvvnpGFc9BbrimkCuSBQIDe3l6GhobIzs6mqKho3A9dT08Pvb291NXVzdiuTmrAdarCHGKxWFqLlUwm0zus92IZoigK+/fvx+FwTFlk1+lAd3c3g4ODE/qIHesBZbPZ0jW+6ToSpt7vTC6amqbx3e9+l4aGBh577LFpWeOdd97JM888Q29vL+Xl5VxzzTV8+tOf5hvf+AbPPvssoAeK/su//MusBCGFRCKhx3SP08FLzcwNDg4yNDREVlYWxcXF5Ofn097ens4gO9NF5okwPDzM4cOHT9suL5FIpKUNkUgkrcWajPWtLMs0NDTM6EBM0B0oU37fmew2UiLJ1PhSKuH3VKYBMkVqaiATUa6mafzoRz/itddeY9u2bTO2MzmdmNEkparqSTt4qcLywMAAfX19mEwm5s6dS2Fh4YwkqdQw8nSJC1N6I5fLRSAQSGuxTuRxlErZqaiomLF5c0DaU6uuru6Uj0OjpwFkWU5LGxwOx5TsHFPTEpkS1M9+9jP++te/8tRTT81Y8el0Y8aSVDweT6vOT1Z/SiQS6at+bm5u+ipptVopLi4+oZ5mOtHT03NGRZqqqqYJy+fzjXtkTtXJ5syZM2PjnIC0rU4mmXOZIrUDdbvdY8S1p1p4TxFUJp5Vmqbx61//mi1btvDMM8/M2PnCM4EZSVJtbW3cddddbNq0ieuuu+6EnblwOMy+ffuYO3cuRUVF6b9PbesHBwfTrgQpwppugkh5VaWSZs90ERSO1mlS3vF2u52cnBx6e3tndDc09VpOFCs+VUgV3t1ud5rQJ+Mblgr6yHQ29NFHH+W3v/0tf/3rX2dso+dMYUaSlKZp7Nu3j8cff5ynn36agoICNm3axPXXX09BQUF6G56q7WRypRpNWEajMU1Yp/vMr6oqR44cQdM0Fi9ePGNa4aOhaRqDg4McOXIEg8GQLiwXFRXNKK2Rpmm0tLQQjUZZtmzZtL2Wo33DUuELJ9KqpZJnFi1alJFv+uOPP87DDz/M9u3bT/uw+/sRM5KkRkPTNA4ePMjjjz/OU089RU5ODps2bSIQCODz+fja1752SvYnqSFfSZJOGGn1XpDqjmVlZTF37twZ2x1LOUKkCvmjC8vvxWZmKpHKPkwmkyxZsuSMkX0qfGH065MqvNtstjRBZZI8A/DnP/+Z73//++zYsWPG7l7PNGY8SY2GpmkcPnyYu+++m7feeovly5dz0003sXHjRkpKSk6JBFJaI5fLhSAIU/aFTIk0S0pKZmwcFhy1CJlIu5OK/HK5XKiqOkbaMF1IiUkVRWHJkiUziuxThXe32008HieRSFBbW0tlZeVJ1/nXv/6V++67jx07dowpVcxiLN5XJAXw05/+lLfffpuf/exndHR0sGXLFp588knMZjMbN25k06ZNlJWVndIHefQXUtO0NGFN1iolGo2mzfRmcvE5NWqzcuXKjHaRKbuQlM1MqhN2rM3MVCJ1YRIEYcbOXYL+2rz77rsUFBQQiUTShfeJ0mJefPFFvv71r7N9+/YpdVv9IOJ9R1LxeByTyXTcHFFraytbtmxh27ZtiKLIxo0b2bx5MxUVFaf0wY7FYmnCUhRlTGjoiZAaxZkqkebpQl9fHz09PafcaTzWZuZ0RH5pmsahQ4eQJImFCxfOWIJKJBK8++67aekL6Ef9oaEh3G43w8PDOJ1O7HY7ubm57N+/ny9/+cs8++yzU7rLzsTvqaamBrvdnu52/+///u+4c7IzCe87kjoZUpl0KcJSFIWNGzeycePGU/YwT+0gBgcH02ru4uLi45w1h4aGOHLkyIwexQFdAOlyuU6Y9DwZpDphLpcLv98/JZFfqqpy8OBBzGbzpJJxphuJRIK9e/dSW1t7wlg1v9/P888/z7333ksgEOBrX/san/rUp6bMtjpTv6eamhp27tw5Y4ftx8MHjqRGQ9M0urq62Lp1K1u3biUej6ePhKc65pFIJNKElTryFBcXEw6H6ejooK6ubsaK8DRNo729PR3bdTqkECnvp5S0wel0prVYmRKiqqppV4iZ3HBIJpO8++67zJkzJ6Oa0jvvvMOdd97J97//ferr69mxYwfPPffclHSYM/V7miWpGQxN0+jt7WXr1q088cQTBINBrr/+ejZt2nTKV+pkMonb7aazs5NIJEJ5eTmlpaWntUZzqkh1xxKJBEuXLp2W7thomxmPx5OWNpxIXKuqKvv27cPpdFJbW3va13iqSCaT7N27l+rq6ozqjg0NDXzqU5/iiSeeYPHixVO+ntTJ4fe//z0Ahw8f5pZbbmHv3r1jbldTU0Nubi6qqnLdddfxzW9+c0ZOZozGh4akRkPTNAYGBtI7LJ/Px3XXXcfGjRsnVZxN1cJCoRCLFy9Oh4amajTFxcWTmpc7XUjVdkRRPGPF59Hi2lRAZqrOl9pJKIrCvn37yMnJYc6cOdO+xkyRIqjKysqMit6HDh3iE5/4BH/6059YsWLFaVlTqoH06KOPpn/nrbfeehxJpSxWgsEgf//3f88555zDV77yldOypqnCh5KkRkPTNFwuF0888QRbt27F7XZzzTXXsHnz5hO2u1VVHdN1Gr0zScWyDw4OEgqFyMvLo7i4eEqLyplCVVX279+PzWY7YRTYdGO01gj0JBSPx0NRURHV1dVneHUTQ5Zl9u7dS0VFRUYE1djYyC233MLvf/97Vq9efdrW9dZbb/HlL385fdx77rnn+PGPf3xCe9+//OUv/PKXv2Tbtm2nbV1TgQ89SR0Lt9vNtm3b2LJlC/39/Vx99dVs3rx5jMI5dcVPHUlO9MU/tqg8mrBO95FLURQaGhrIzc2d0TuTcDhMfX09oBsbToXNzOmAoijs3buX0tJSysvLT3r7trY2brrpJn7zm99w1llnnfa1LViwgKeffpolS5bw8Y9/nCuuuGJM4TwcDqMoCk6nE1mW+fSnP01VVRX//u//flrX9l4xS1IngNfr5cknn2TLli10dXVx9dVXc9555/Gzn/2M733ve5P+4h874DsVXbCJkBKTlpaWzugiqSzLadFrRUVFujHhcrnSsVaTtZk5HUgRVGqdJ0NXVxcf/ehHeeSRR8aNYTsdGM/vqb6+Pu0J1dbWxg033JB2Fzn33HN56KGHZmyjJ4VZksoQw8PD/PKXv+Rb3/oWWVlZfPzjH2fTpk2sXr36lAgm1QUbHBxkeHiY7OzstCfWeyWseDyejmWf6mTmqUSKSMvLy8e1hJFlOa3FSh2bJxJHnk4oikJ9fT1FRUUZ6Zp6e3u54YYbeOihh7jkkkumYYUfbMySVIaIRCJs2LCBn/zkJyxbtoynn36aLVu20NjYyBVXXMGmTZtYt27dKRPWaBM/p9OZJqzJygSi0Sj19fXMmzdvQt3OTMBki88pcWRqFzpddsCpI3NBQUFG5n8DAwNs3ryZ+++/nyuvvPK0revDhFmSmgQCgcBxxmWBQIC//OUvbNmyhYMHD3L55ZezadMmzjrrrFP68hw7cT/adfRkreKUA+TixYszmr4/U0gJIGtqak5pbOhYm5msrKzTEvmlqioNDQ3k5eVlVMx3u91s2rSJf//3f+f666+fsnV82DFLUlOIYDDIs88+y5YtW2hoaODSSy9l06ZNbNiw4ZS+PMfqjOx2e1pndOzjBQIBDhw4kJED5JlEPB5PK7SnYqhW0zQCgUD6NbJYLFMS+ZXSa+Xk5FBTU3PS2w8NDbFp0ya++tWvcuONN57y753F8ZglqdOEcDjMX//6V7Zs2cK7777LRRddxObNmzn33HNPmbCCwWDaE2u062goFOLw4cMZxSSdSaRcP0fPuE0lRtuouFyudHDoZG14UrINp9OZUXPE7/ezadMmPv/5z3PLLbe8l6cwi3EwS1LTgGg0yo4dO3j88cd5++23ufDCC9m0aRPnn3/+KdkajxZG9vf3k0wmmTNnDuXl5TPKpG40Uj5LCxYsmDbfpGNdLVLShhMReWokx263M3fu3JP+jmAwyA033MCnP/1pbrvttilc/SxSmCWpaUYsFuP555/nscce48033+S8885j06ZNXHjhhZMmmIGBATo7O5k/fz7Dw8Np19FjldxnGqlifqZGcKcD49nMFBUVjQlc0DSNAwcOYLVaM5oZDIfD3HTTTXz84x/nzjvvnFGarg8SZknqDCIej/Piiy/y2GOP8frrr7NhwwY2bdrExRdffFKC6enpob+/n5UrV47ZjU2X62imSIURzKRifmrmMhX5lbKZ6enpwWKxZKTMj0aj3HzzzVx33XV87nOfmyWo04hZkpohSCQS/O1vf+Pxxx/n1VdfZf369WzatIlLL730OILJNMopGo0yODg45a6jmSLVbcw0jOBMIDXC1NzcTDKZpLi4+KQC23g8zi233MIll1zCl770pVmCOs2YUakAoVCIyy+/nJycHC677LIT3vbBBx9k/vz5zJ07lx//+MfTtMLTB5PJxJVXXskvf/lLDh06xG233cYLL7zAWWedxac+9SmeeuopwuEw3/3ud9NeUCeTOFitVmpqali/fj3Lly9HEAQOHDjA22+/TUdHB5FI5LQ9n1AoRENDA0uXLp2xBAV6XJrX66WgoIALLriAoqIiXC4Xu3btYv/+/QwODqIoSvr2yWSS2267jXPOOWdKCeqll15iyZIlzJs3j0996lPIsnxKt/kgYkbtpOLxOG+88QbhcJgHH3yQF154YdzbNTY2cv3117Nnzx40TWP16tVs3749o0Ln+w2yLPPqq6/y2GOP8Yc//AGHw8G3v/1trrnmmknbGqeQimQfHBxElmWKiorSJn5TgZQ76Uw3/9M0jSNHjgAc5w5xrF6ttbUVv9/Pzp07Wb58Offdd9+UEVQmhnWZmtp9EDGjdlJms5mLL774pCb/27Zt4+abbyYrKwuHw8GNN97Ik08+OT2LnGYYDAYuuugigsEgn/zkJ/ntb3/L7t27Oeecc/jEJz7B1q1bCYVCk3pMi8VCZWUla9euZfXq1ZhMJo4cOcKbb76Ztp451WtXIBBg//79rFixYsYTVGNjI5qmjWtfIwgCubm5LFy4kA0bNrB06VJ++ctfsmvXLnbv3s3PfvYzVFWdkrXs3r2biooKli5dCsDtt9/OE088MenbfFAxs92uJkBPTw91dXXpn6uqqmhqajqDKzq9EEWRT3/601x44YUIgsAll1yCoii88cYbbNmyhfvuu4/FixezceNGrr766kmRg8lkoqKiYsxwb3NzM7FYbNwO2ImQisaa6XqtlAFgpukzmqbxq1/9issvv5wf/ehHNDc38/LLL0/Z/GBPT8+YmcCqqip6enomfZsPKqadpDZs2EB/f/9xf3/jjTfywAMPZPw4x27NP+i46KKLxvwsSRLnn38+559/Pqqq8uabb7J161a++93vMm/ePDZu3Mg111xz0tDU0TCZTJSXl1NeXp7ugLW1tRGJRNKENZHrqM/n49ChQ+8LgmppaSGZTLJ06dKTEpSqqnz5y19GkiR+9KMfIYoiCxcuZOHChVO6rkw+zx+2z3wK005Su3btes+PUVlZSVdXV/rnlNvghxWiKHLOOedwzjnn8L3vfY933nmHxx9/nB/84AfU1NSwceNGrr322klJAIxGI2VlZZSVlaXdCDo6OsZ1HU1l961atWpG236knFRjsRjLli3LiKC+/vWvEw6H+fWvf33anBcy+Tx/mD/z78vj3ubNm7n++uv5yle+gqqqbNmyhe3bt5/pZc0IiKLI+vXrWb9+Pffffz979+7l8ccf54orrqC8vJxNmzZx7bXXTkr1bTAYKCkpoaSkJN2y7+rqIhgMYrfbCYVCrF69ekYTFJDeFWZCUJqm8R//8R8MDAzw6KOPnlanhbVr19Lb28uhQ4dYsmQJv/rVr7jhhhsmfZsPKmZUdw9gxYoV9Pf3EwwGKSgo4L777uO2227jkUceoa+vj29961sA/PCHP+QnP/kJmqZxzz33cPfdd5/hlc9spAZmU3H1JSUlbNy4keuuu+6U5+hcLheNjY04nc6031NRUdG0+z1lgra2NoLBIMuXLz/p2jRN4/7772f//v089thjpzS6NFmczLBuotvM9BCFqcCMI6lZnH6kxj8ef/xx/vznP5Ofn8+mTZu47rrrKCoqyqhI7na7aW1tZdWqVZjN5uNcR3NyciguLj4trqOTRUdHBz6fjxUrVmREUA899BBvvPEGW7dunTGjRR9mzJLUhxypJJktW7bw5z//GYfDwaZNm9i4cSPFxcXjEtbg4CDt7e1p+cKxmMh1NC8v77Qem8ZDZ2dnWp2fCUE98sgj7Nixg6eeeuqMjRLNYixmSWoEDz74ID/5yU9QVXXC42NHRwcLFy5M56bZbDbeeOON6V7qaUNKO5SKR7JYLGzatIlNmzZRWlqKIAi0t7fjcrlYtWpVRgPRow3qvF7ve3IdnSy6urrweDwnHR+CozKDJ554gmeeeeaUhbKzmHrMkhSZK9g7Ojq47LLLaGlpOUMrnT6kWvWp0MmUN1N/fz87duw4JUuY8VxHT4ejJkB3d3fG40MAv/vd73j00Uf561//elIx8SymFzOrunmG8GFSsGcKQRCYP38+9957L2+99RYbN26kvr4eWZa54ooreOihh+jo6JiUXudYFXd1dTWBQIC3336b+vr6tDfWe0VPT8+kCOqxxx7jN7/5DU8//fQsQc1AfPBbAxlgMgr23t5eVq9ejdFo5HOf+xy33nrrdC3zjMHj8bBz5072799PVlYWnZ2dbN26lTvuuINkMsnGjRvZuHHjSTMIR0MQBLKzs8nOzmb+/Plp19GOjg4sFkvadXSynbXe3l4GBgZYtWpVRgT15JNP8tOf/pTt27fP6EHoDzM+NMe9EyndY7EYK1eu5I477gDgpz/9Kc3Nzfzwhz8cc9t4PJ6WRqSOfo8++ihnn332tDyHmQZN0+jt7WXLli088cQThMNhrr/+ejZt2nTKackp19GUJ5bZbE5bzJzsiNnX10dvby+rVq3K6Pj47LPP8p//+Z/s2LFjRifrTAatra1cd911HDp0CNC918855xx27do1Y/y8JosPDUmdCPfffz/hcDitwfra175Gfn4+X/ziF094vy996UtUVlby+c9/fjqWOaOhaRr9/f1s3bqVrVu3EggEuO6669i4cSMLFy48ZceA0YR1ItfR/v5+uru7Wb16dUYE9cILL/CNb3yD7du3z+hswlNBaWkpR44cITs7m3/+53+mrq6OO++880wv65QxS1JAU1NTunCuqipr1qxh+/bt1NbWjrmdy+UiLy8Pg8HA8PAwF154IQ8++OBsAOQx0DSNwcFBnnjiCbZu3YrH4+Haa69l8+bNLF68+JQJa7TrqCiKaYM6n89HV1cXq1atyuh4+Oqrr/LlL3+Zv/71rx/I0ZLNmzfz2c9+lsLCQm6//XbefvvtM65Vey+YJakRTKRgH610f+KJJ/jGN76BJEkoisIdd9zBPffcc2YX/j6Ay+Vi27ZtbNmyhYGBAa655ho2b97M0qVLT/nLk3Id7e3tJR6PU1NTQ2lp6UlHc9544w0+//nP8+yzz2aUpfd+xPe+9z3i8TjPP/88991337TFvJ8uzJLULKYVHo+HJ598ki1bttDT08NVV13F5s2bM1KDHwuXy0V7ezuLFy9OJ0Crqpo28TtW67R7924+85nP8NRTTzFv3rypfFpjcKY1d6+//jobN27k8ssv5w9/+MOUPOaZxCxJzeKMYWhoiD//+c9s2bKF9vZ2rrrqKjZt2sSqVatOSlipsZxjVe/xeByXy5V2HXU6ncTjcQRB4I477uCJJ55g0aJFp+05zQTN3dDQEJWVlTQ2Nn4gjrPv34PqLN73yMvL45Of/CTPPPMMb7zxBnV1dXzve99j3bp1fO1rX+Ptt98e1/3S4/Gk5waP7fiZzeYxrqOBQIC77rqLiy++mAsuuABZlk+rF9NM0Nw98MAD/Nu//dsHgqBglqTOGGaN98ciJyeHf/iHf+Cpp57izTffZN26dTz00EOsXbuWr3zlK+zatQtFUXj++edpaGhIDzafCCaTiZycHGRZZseOHZx99tnce++97Nu377Q9j8k4aKY0d2eddRa///3v3/PvbmpqYunSpTQ3N/OlL33pPT/ejIE2i2mHLMvanDlztAMHDmiapmk33XST9qtf/WrSt/kwIBAIaH/4wx+0j370o1pFRYXmdDq13/zmN1ogENDC4fAJ/zQ0NGiLFy/W3nrrrSld09lnn61VV1cf9+eLX/yi9tnPflb77//+7/Rtf/KTn2j33HPPcY8Ri8U0t9utaZqmtbe3a3PnztV27do1pev8oGB2J3UGMGu8nzkcDgcf//jH+fznP092djbf+c53eOaZZ1izZg1f+MIXePXVV8fdYXZ2dvJ3f/d3/PznP2f9+vVTuqZdu3bR0dFx3J8HHnggYwdNs9lMQUEBADU1NWzatIm33nprStf5QcEsSZ0BzBrvTx5tbW385S9/4TOf+QyPPfYYDQ0NXHnllfz2t79lzZo1fO5zn+Oll14imUzS29vLTTfdxH/9139x3nnnTes6N2/ezGOPPUY4HCYYDLJlyxY2b9583O1cLleaXIeHh3nuuedYvnz5tK71/YLZ2b0zhFnj/cnhH//xH8f8bLVa2bx5M5s3byYWi/Hcc8/xxz/+kc997nOEQiF++9vfcvHFF0/7OhcsWMCdd95JXV1dWnOXEgWP1tzt3LnzOM3drCh4Apzh4+aHEm+++aZ2/vnnp3/esWOHdu211076NrM4HtFoVPvLX/5yppcxiynE7HHvDGC0qT5wUuP9iW4zi+NhsVi45pprzvQyZjGFmCWpMwBJkvjv//5vbrzxRubNm4fNZuMTn/gE77zzDldfffUJbzOLWXzYMKs4n8UsZjGjMbuTmsUsZjGjMUtSH1Jkomavqalh6dKlrFy5kpUrV6brY7OYxXRilqQ+hFAUhdtvv53HH3+clpYWQqEQv/vd78a97Y4dO6ivr6e+vp4lS5ZM80pnMYtZkvpQYlbNPov3E2ZJ6kOIyajZr7vuOurq6vj617/+gR5wnsXMxSxJfUiRiZp9586d7N27N50U8/3vf3+6ljeLWaQxS1IfQmQ6BJv6O4fDwac//WnefPPNaVvjLGaRwixJfQiRiZo9HA4TCAQAkGWZrVu3smLFimlf63QhFApx+eWXk5OTw2WXXXbC2z744IPMnz+fuXPn8uMf/3iaVvjhxSxJfQiRieJ9cHCQCy64gBUrVlBXV4fRaOSrX/3qGV756YPRaORrX/sajz766Alv19jYyMMPP8zevXupr6/nRz/6Ea2trdO0yg8nZhXn04Trr7+em2++mVtvvZWtW7fy4IMP8vzzz2OxWM700mYxCi+//DL33XcfL7zwwrj//p3vfIdIJJLOaLz33nspKCg4aUbjLE4ds1Yt04Rvf/vbfOxjH6OiooL77ruPF198cZag3ofo6emhrq4u/XNVVRVNTU1ncEUffMyS1DRh+fLlLF++nE984hO8+uqr5OXlneklfeiwYcMG+vv7j/v7G2+8kQceeCDjx5n1+ZpezJLUNKG1tZUDBw4gSRLFxcVnejlnHHfffTfbtm1jYGBgQv3VSy+9xGc/+1kSiQQXXHABP//5zzOKUJ8Iu3btOuX7ppBpZ3QWU4fZwvk0wOPxcMMNN/CLX/yCK6+8kp/+9KdneklnHDfffDN79uyZ8N8nM7ozncjUHngWU4gz6bj3YUA4HNbOOeccbdu2bZqmaVp3d7dWXl6uBQKBM7uwGQJJksb9+127do1xJt2+fftpdyZdvny5VlBQoJnNZq28vFz79a9/rWmapj388MPav/3bv6Vv94Mf/ECbO3euVltbq/3oRz86rWuahabNdvdmcUZhMBjGPe5t2bKFbdu2pfPoDh8+zC233MLevXune4mzOMOYPe7NYsZitkA9C5glqVnMUMwWqGeRwixJzWJGYjaIYhYpzJLULM4I7rzzTioqKlAUhYqKCu68887ZIIpZjIvZwvksZjGLGY3ZndQsZjGLGY1ZkprFLGYxozFLUrOYxSxmNGZJahazmMWMxixJzWIWs5jRmCWpWcxiFjMasyQ1i1nMYkZjlqRmMYtZzGj8/8YFaGaMe7GlAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vector = pre_vector\n", "fig = plt.figure(figsize=(4,4),dpi=75., layout='constrained')\n", "ax_1 = fig.add_subplot(111, projection='3d')\n", "ax_1.scatter3D(\n", " vector[0, :],\n", " vector[1, :],\n", " vector[2, :],\n", ")\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "ax_1.set_title('Quadrature points')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "21056acc-4898-47ce-9024-889c70addf4f", "metadata": {}, "source": [ "## `sphere.gauss_legendre_trapezoidal_real_sh_mapping_2d`" ] }, { "cell_type": "markdown", "id": "255f2d69-21b6-45f0-982f-215d0419154a", "metadata": {}, "source": [ "This functions does the same than the function `gauss_legendre_trapezoidal_2d` and it also returns the evaluation of the real spherical harmonics in those points." ] }, { "cell_type": "markdown", "id": "0b9a8ed8-90dd-4118-b1da-8d4d3916e67d", "metadata": {}, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 52, "id": "5e0ff044-4040-4d88-afb5-14f3d3fcdef1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " This function is for obtaining the quadratures points to\n", " approximate numerically the integral in a surface of a sphere, and\n", " it also returns the evaluation of the real spherical harmonics in\n", " those points.\n", " It returns the weights and vectors for the Gauss-Legendre and\n", " composite trapezoidal quadrature rule. The real spherical\n", " harmonics evaluated are of degree l and order m, with l <= big_l.\n", " See the shape of the returns.\n", "\n", " Notes\n", " -----\n", " Gauss-legendre quadrature in theta. This one uses the package\n", " pyshtools.\n", " Composite trapezoidal rule in phi.\n", " Integral on theta are (big_l_c + 1) quadrature points.\n", " Integral on phi are (2 * big_l_c + 1) quadrature points.\n", " Without considering errors produced by the approximation by finite\n", " numbers, the quadrature must be exact for functions consisting in\n", " polynomials of big_l_c degree times an exponential power to (m times\n", " i), with |m| <= big_l_c.\n", " Legendre's functions are computed used pyshtools.\n", "\n", " Parameters\n", " ----------\n", " big_l : int\n", " >= 0, max degree.\n", " big_l_c : int\n", " >= 0. It's the parameter used to compute the points of the\n", " quadrature.\n", "\n", " Returns\n", " -------\n", " quantity_theta_points : int\n", " how many points for the integral in theta, (big_l_c + 1).\n", " quantity_phi_points : int\n", " how many points for the integral in phi, (2 * big_l_c + 1)\n", " weights : np.ndarray\n", " of floats, with the weights for the integral quadrature in\n", " theta. Length (big_l_c + 1).\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors of the quadrature points.\n", " Shape (3, quantity_theta_points, quantity_phi_points).\n", " spherical_harmonics : np.ndarray\n", " of floats, represent the real spherical harmonics of degree and\n", " order l and m evaluated in the points given by pre_vector. Shape\n", " ((big_l + 1)**2, quantity_theta_points, quantity_phi_points)\n", "\n", " \n" ] } ], "source": [ "print(quadratures.gauss_legendre_trapezoidal_real_sh_mapping_2d.__doc__)" ] }, { "cell_type": "markdown", "id": "3d846243-e852-49f3-9cf2-66f71763e7c5", "metadata": {}, "source": [ "Now, the variable `big_l` indicates the maximum degree of spherical harmonics to be evaluated in the quadrature points." ] }, { "cell_type": "markdown", "id": "0252360c-fb6b-4bb9-a32c-3ef54e5d2cac", "metadata": {}, "source": [ "Also, there are auxiliary parameters needed, which need to be obtained using `biosspheres.miscella.auxindexes.pes_y_kus(big_l)`. Notice that they depend on `big_l`." ] }, { "cell_type": "markdown", "id": "e328686d-d31c-4854-b615-a621d3f717aa", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 53, "id": "9cbf159a-6a8e-444f-9028-9fdc883583ec", "metadata": {}, "outputs": [], "source": [ "big_l = 1" ] }, { "cell_type": "markdown", "id": "683e3cf1-857c-4388-930e-5304ee2121c9", "metadata": {}, "source": [ "Auxiliar parameters needed:" ] }, { "cell_type": "code", "execution_count": 54, "id": "da3f598e-7df3-43e3-851e-ee72ffdc2eb5", "metadata": {}, "outputs": [], "source": [ "from biosspheres.utils.auxindexes import pes_y_kus\n", "pesykus, p2_plus_p_plus_q, p2_plus_p_minus_q = pes_y_kus(big_l)" ] }, { "cell_type": "code", "execution_count": 55, "id": "a37aa0a0-03b8-4d44-913f-a60cb38237f5", "metadata": {}, "outputs": [], "source": [ "big_l_c = 40\n", "quantity_theta_points, quantity_phi_points, weights, pre_vector, spherical_harmonics = quadratures.gauss_legendre_trapezoidal_real_sh_mapping_2d(big_l, big_l_c)" ] }, { "cell_type": "markdown", "id": "11895a53-b8c5-4545-9f82-0b70ecb17f96", "metadata": {}, "source": [ "Plottings of the spherical harmonics:" ] }, { "cell_type": "code", "execution_count": 56, "id": "9cdd3d45-ea9b-4ee5-933e-0bc69d3ce182", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vector = pre_vector\n", "fig = plt.figure(figsize=plt.figaspect(0.20), dpi=68., layout='constrained')\n", "ax_1 = fig.add_subplot(141, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[0, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1,\n", " cstride=1,\n", " facecolors=cm.coolwarm(spherical_harmonics[0, :, :] / surface_max),\n", ")\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 0$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(\n", " cm.ScalarMappable(\n", " norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm\n", " ),\n", " ax=ax_1,\n", " shrink=0.6,\n", " orientation='vertical',\n", " location='left',\n", ")\n", "\n", "ax_1 = fig.add_subplot(142, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[1, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1,\n", " cstride=1,\n", " facecolors=cm.coolwarm(spherical_harmonics[1, :, :] / surface_max),\n", ")\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 1$, $m = -1$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(\n", " cm.ScalarMappable(\n", " norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm\n", " ),\n", " ax=ax_1,\n", " shrink=0.6,\n", " orientation='vertical',\n", " location='left',\n", ")\n", "\n", "ax_1 = fig.add_subplot(143, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[2, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1,\n", " cstride=1,\n", " facecolors=cm.coolwarm(spherical_harmonics[2, :, :] / surface_max),\n", ")\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 1$, $m = 0$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(\n", " cm.ScalarMappable(\n", " norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm\n", " ),\n", " ax=ax_1,\n", " shrink=0.6,\n", " orientation='vertical',\n", " location='left'\n", ")\n", "\n", "\n", "ax_1 = fig.add_subplot(144, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[3, :, :]))\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1,\n", " cstride=1,\n", " facecolors=cm.coolwarm(spherical_harmonics[3, :, :] / surface_max),\n", ")\n", "ax_1.set_title('$l = 1$, $m = 1$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(\n", " cm.ScalarMappable(\n", " norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm\n", " ),\n", " ax=ax_1,\n", " shrink=0.6,\n", " orientation='vertical',\n", " location='left',\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ba9861e8-6470-4d1e-9921-88bea7e2ec12", "metadata": {}, "source": [ "## `sphere.gauss_legendre_trapezoidal_complex_sh_mapping_2d`" ] }, { "cell_type": "markdown", "id": "b6cda9a0-0383-4b17-8303-e61b93d45a4e", "metadata": {}, "source": [ "This functions does the same than `gauss_legendre_trapezoidal_complex_sh_mapping_2d`, with the difference that this time the complex spherical harmonics are evaluated." ] }, { "cell_type": "markdown", "id": "bb4f1fac-9ef2-4699-b6cc-65cb07eaf435", "metadata": {}, "source": [ "### Docstring and comments" ] }, { "cell_type": "code", "execution_count": 57, "id": "a005c5fc-1762-414d-ac0a-dfa1eb674df2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " This function is for obtaining the quadratures points to\n", " approximate numerically the integral in a surface of a sphere, and\n", " it also returns the evaluation of the complex spherical harmonics in\n", " those points.\n", " It returns the weights and vectors for the Gauss-Legendre and\n", " composite trapezoidal quadrature rule. The complex spherical\n", " harmonics evaluated are of degree l and order m, with l <= big_l.\n", " See the shape of the returns.\n", "\n", " Notes\n", " -----\n", " Gauss-legendre quadrature in theta. This one uses the package\n", " pyshtools.\n", " Composite trapezoidal rule in phi.\n", " Integral on theta are (big_l_c + 1) quadrature points.\n", " Integral on phi are (2 * big_l_c + 1) quadrature points.\n", " Without considering errors produced by the approximation by finite\n", " numbers, the quadrature must be exact for functions consisting in\n", " polynomials of big_l_c degree times an exponential power to (m times\n", " i), with |m| <= big_l_c.\n", " Legendre's functions are computed used pyshtools.\n", "\n", " Parameters\n", " ----------\n", " big_l : int\n", " >= 0, max degree.\n", " big_l_c : int\n", " >= 0. It's the parameter used to compute the points of the\n", " quadrature.\n", " pesykus : np.ndarray\n", " dtype int, shape ((big_l+1) * big_l // 2, 2).\n", " Used for the vectorization of some computations.\n", " Comes from the function\n", " biosspheres.miscella.auxindexes.pes_y_kus(big_l)\n", " p2_plus_p_plus_q : np.ndarray\n", " dtype int, length (big_l+1) * big_l // 2.\n", " Used for the vectorization of some computations.\n", " Comes from the function\n", " biosspheres.miscella.auxindexes.pes_y_kus(big_l)\n", " p2_plus_p_minus_q : np.ndarray\n", " dtype int, length (big_l+1) * big_l // 2.\n", " Used for the vectorization of some computations.\n", " Comes from the function\n", " biosspheres.miscella.auxindexes.pes_y_kus(big_l)\n", "\n", " Returns\n", " -------\n", " quantity_theta_points : int\n", " how many points for the integral in theta, (big_l_c + 1).\n", " quantity_phi_points : int\n", " how many points for the integral in phi, (2 * big_l_c + 1)\n", " weights : np.ndarray\n", " of floats, with the weights for the integral quadrature in\n", " theta. Length (big_l_c + 1).\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors of the quadrature points.\n", " Shape (3, quantity_theta_points, quantity_phi_points).\n", " spherical_harmonics : np.ndarray\n", " of complex numbers, represent the real spherical harmonics of\n", " degree and order l and m evaluated in the points given by\n", " pre_vector. Shape\n", " ((big_l + 1)**2, quantity_theta_points, quantity_phi_points)\n", "\n", " \n" ] } ], "source": [ "print(quadratures.gauss_legendre_trapezoidal_complex_sh_mapping_2d.__doc__)" ] }, { "cell_type": "markdown", "id": "81d56553-1db6-4964-bf4c-88fa2fd8c681", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 58, "id": "1dd24f8d-bc93-49cb-81cc-fa560ab6ba3c", "metadata": {}, "outputs": [], "source": [ "big_l_c = 40\n", "big_l = 1" ] }, { "cell_type": "markdown", "id": "3a0caba8-78ee-4b41-8767-18b1f0cbd9a8", "metadata": {}, "source": [ "Auxiliary parameters:" ] }, { "cell_type": "code", "execution_count": 59, "id": "52708c8e-9663-42f2-9944-4ebad73ab668", "metadata": {}, "outputs": [], "source": [ "from biosspheres.utils.auxindexes import pes_y_kus\n", "pesykus, p2_plus_p_plus_q, p2_plus_p_minus_q = pes_y_kus(big_l)" ] }, { "cell_type": "code", "execution_count": 60, "id": "1c9ec6df-1bb3-4f85-be13-21fbe9c24a0c", "metadata": {}, "outputs": [], "source": [ "quantity_theta_points, quantity_phi_points, weights, pre_vector, spherical_harmonics = quadratures.gauss_legendre_trapezoidal_complex_sh_mapping_2d(big_l, big_l_c, pesykus, p2_plus_p_plus_q, p2_plus_p_minus_q)" ] }, { "cell_type": "markdown", "id": "266037b9-35f2-40d0-8d8e-d357f5840138", "metadata": {}, "source": [ "Plotting of the real part of the spherical harmonics." ] }, { "cell_type": "code", "execution_count": 61, "id": "ed567455-1ce8-4da8-8a00-9d943ed88a46", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=plt.figaspect(0.25), dpi=68., layout='constrained')\n", "ax_1 = fig.add_subplot(141, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[0, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1,\n", " cstride=1,\n", " facecolors=cm.coolwarm(\n", " np.real(spherical_harmonics[0, :, :]) / surface_max\n", " ),\n", ")\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 0$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(\n", " cm.ScalarMappable(\n", " norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm\n", " ),\n", " ax=ax_1,\n", " shrink=0.6,\n", " orientation='vertical',\n", " location='left',\n", ")\n", "\n", "ax_1 = fig.add_subplot(142, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[1, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1,\n", " cstride=1,\n", " facecolors=cm.coolwarm(\n", " np.real(spherical_harmonics[1, :, :]) / surface_max\n", " ),\n", ")\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 1$, $m = -1$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(\n", " cm.ScalarMappable(\n", " norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm\n", " ),\n", " ax=ax_1,\n", " shrink=0.6,\n", " orientation='vertical',\n", " location='left',\n", ")\n", "\n", "ax_1 = fig.add_subplot(143, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[2, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1, \n", " cstride=1,\n", " facecolors=cm.coolwarm(\n", " np.real(spherical_harmonics[2, :, :]) / surface_max\n", " ),\n", ")\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 1$, $m = 0$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(cm.ScalarMappable(norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm), ax=ax_1, shrink=0.6, orientation='vertical', location='left')\n", "\n", "ax_1 = fig.add_subplot(144, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[3, :, :]))\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(np.real(spherical_harmonics[3, :, :])/surface_max))\n", "ax_1.set_title('$l = 1$, $m = 1$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(cm.ScalarMappable(norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm), ax=ax_1, shrink=0.6, orientation='vertical', location='left')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "30c4261f-99ae-475a-b1a3-32d113420684", "metadata": {}, "source": [ "Plotting of the imaginary part of the spherical harmonics:" ] }, { "cell_type": "code", "execution_count": 62, "id": "8dc673c6-f8e1-4d46-870e-3a9fa871824b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=plt.figaspect(0.25), dpi=68., layout='constrained')\n", "ax_1 = fig.add_subplot(141, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[0, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(np.imag(spherical_harmonics[0, :, :])/surface_max))\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 0$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(cm.ScalarMappable(norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm), ax=ax_1, shrink=0.6, orientation='vertical', location='left')\n", "\n", "ax_1 = fig.add_subplot(142, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[1, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(np.imag(spherical_harmonics[1, :, :])/surface_max))\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 1$, $m = -1$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(cm.ScalarMappable(norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm), ax=ax_1, shrink=0.6, orientation='vertical', location='left')\n", "\n", "ax_1 = fig.add_subplot(143, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[2, :, :]))\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(np.imag(spherical_harmonics[2, :, :])/surface_max))\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.set_title('$l = 1$, $m = 0$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(cm.ScalarMappable(norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm), ax=ax_1, shrink=0.6, orientation='vertical', location='left')\n", "\n", "ax_1 = fig.add_subplot(144, projection='3d')\n", "surface_max = np.max(np.abs(spherical_harmonics[3, :, :]))\n", "ax_1.view_init(30, 135, 0)\n", "ax_1.plot_surface(\n", " vector[0, :, :],\n", " vector[1, :, :],\n", " vector[2, :, :],\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(np.imag(spherical_harmonics[3, :, :])/surface_max))\n", "ax_1.set_title('$l = 1$, $m = 1$')\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "fig.colorbar(cm.ScalarMappable(norm=colors.CenteredNorm(halfrange=surface_max), cmap=cm.coolwarm), ax=ax_1, shrink=0.6, orientation='vertical', location='left')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bf37f67c-e238-44a1-baee-1085a138a3c0", "metadata": {}, "source": [ "## `sphere.real_spherical_harmonic_transform_1d`" ] }, { "cell_type": "markdown", "id": "79d11232-c93b-49c7-b823-2dfb0cfb1687", "metadata": {}, "source": [ "It returns the same than `sphere.gauss_legendre_trapezoidal_1d` and a vector that can be used to calculate the real spherical harmonic transform on the surface of a sphere of radius equal to one." ] }, { "cell_type": "markdown", "id": "8b5f5a88-7d0b-44db-b995-50d17e74892c", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 63, "id": "40a2af6a-821c-4880-a880-6be96933d7fa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " It returns the vectors for the Gauss-Legendre and trapezoidal\n", " quadrature rule for computing a numerical integral in the surface\n", " of a sphere. It also returns a vector that can be used to calculate\n", " the real spherical harmonic transform on the surface of a sphere of\n", " radius equal to one.\n", "\n", " The use of the results of this routine is for SLOW routines, because\n", " the vector used for the spherical harmonic transform does not have\n", " any performance improvements.\n", "\n", " Notes\n", " -----\n", " Gauss-legendre quadrature in theta. This one uses the package\n", " pyshtools.\n", " Composite trapezoidal rule in phi.\n", " Integral on theta are (big_l_c + 1) quadrature points.\n", " Integral on phi are (2 * big_l_c + 1) quadrature points.\n", "\n", " Parameters\n", " ----------\n", " big_l : int\n", " >= 0.\n", " big_l_c: int\n", " >= 0. It's the parameter used to compute the points of the\n", " quadrature.\n", "\n", " Returns\n", " -------\n", " final_length : int\n", " how many points for the surface integral,\n", " = (big_l_c + 1) * (2 * big_l_c + 1).\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors of the quadrature points.\n", " Shape (3, final_length).\n", " transform : np.ndarray\n", " of floats. Vector that can be used to calculate the real\n", " spherical transform. Shape ((big_l+1)**2, final_length)\n", "\n", " See Also\n", " --------\n", " gauss_legendre_trapezoidal_1d\n", "\n", " \n" ] } ], "source": [ "print(quadratures.real_spherical_harmonic_transform_1d.__doc__)" ] }, { "cell_type": "markdown", "id": "1ff828fb-4612-4c95-9ee9-dff72ede455e", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 64, "id": "98fde5c1-47af-4e4e-83e0-9e0bacfa37c2", "metadata": {}, "outputs": [], "source": [ "big_l = 1\n", "big_l_c = 40\n", "final_length, pre_vector, transform = quadratures.real_spherical_harmonic_transform_1d(big_l, big_l_c)" ] }, { "cell_type": "markdown", "id": "7fe872d4-51fd-43b3-90c7-0e3b2f7307f1", "metadata": {}, "source": [ "Now we are going to check the orthonormality of the spherical harmonics that are being used." ] }, { "cell_type": "markdown", "id": "ef615296-bc06-41b7-9999-1bbdf934724b", "metadata": {}, "source": [ "We obtain the spherical harmonics evaluated in the quadrature points:" ] }, { "cell_type": "code", "execution_count": 65, "id": "3122b0eb-9b5a-45a7-b7e2-dc38c3545239", "metadata": {}, "outputs": [], "source": [ "from biosspheres.utils.auxindexes import pes_y_kus\n", "pesykus, p2_plus_p_plus_q, p2_plus_p_minus_q = pes_y_kus(big_l)\n", "quantity_theta_points, quantity_phi_points, weights, pre_vector, spherical_harmonics = (\n", " quadratures.gauss_legendre_trapezoidal_real_sh_mapping_2d(\n", " big_l, big_l_c))" ] }, { "cell_type": "markdown", "id": "7ce942b6-df51-403e-81c0-213e264533e6", "metadata": {}, "source": [ "Check of the property:" ] }, { "cell_type": "code", "execution_count": 66, "id": "66fd2b01-d469-439b-a625-a91d9674c0ae", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.999999999999999\n", "0.9999999999999997\n", "0.9999999999999978\n", "0.9999999999999997\n" ] } ], "source": [ "integral = np.sum(spherical_harmonics[0, :, :].flatten('F') * transform[0, :])\n", "print(integral)\n", "integral = np.sum(spherical_harmonics[1, :, :].flatten('F') * transform[1, :])\n", "print(integral)\n", "integral = np.sum(spherical_harmonics[2, :, :].flatten('F') * transform[2, :])\n", "print(integral)\n", "integral = np.sum(spherical_harmonics[3, :, :].flatten('F') * transform[3, :])\n", "print(integral)" ] }, { "cell_type": "markdown", "id": "1c563157-908a-4725-b7a3-9547aad024c6", "metadata": {}, "source": [ "Which is near to one, the expected result." ] }, { "cell_type": "markdown", "id": "99838a09-2bdb-405f-b921-8c4aef163f87", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "## `sphere.complex_spherical_harmonic_transform_1d`" ] }, { "cell_type": "markdown", "id": "c9d25f19-7959-4c52-beb2-e186a5b2cfee", "metadata": {}, "source": [ "It returns the same than `sphere.gauss_legendre_trapezoidal_1d` and a vector that can be used to calculate the complex spherical harmonic transform on the surface of a sphere of radius equal to one." ] }, { "cell_type": "markdown", "id": "cdb7acb0-87f0-47a2-850c-2fbe236bee7f", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 67, "id": "3994dfbf-5d18-483e-896c-46c7754163a1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " It returns the vectors for the Gauss-Legendre and trapezoidal\n", " quadrature rule for computing a numerical integral in the surface\n", " of a sphere. It also returns a vector that can be used to calculate\n", " the complex spherical harmonic transform on the surface of a sphere of\n", " radius equal to one.\n", "\n", " The use of the results of this routine is for SLOW routines, because\n", " the vector used for the spherical harmonic transform does not have\n", " any performance improvements.\n", "\n", " Notes\n", " -----\n", " Gauss-legendre quadrature in theta. This one uses the package\n", " pyshtools.\n", " Composite trapezoidal rule in phi.\n", " Integral on theta are (big_l_c + 1) quadrature points.\n", " Integral on phi are (2 * big_l_c + 1) quadrature points.\n", "\n", " Parameters\n", " ----------\n", " big_l : int\n", " >= 0.\n", " big_l_c: int\n", " >= 0. It's the parameter used to compute the points of the\n", " quadrature.\n", "\n", " Returns\n", " -------\n", " final_length : int\n", " how many points for the surface integral,\n", " = (big_l_c + 1) * (2 * big_l_c + 1).\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors of the quadrature points.\n", " Shape (3, final_length).\n", " transform : np.ndarray\n", " of complex numbers. Vector that can be used to calculate the\n", " complex spherical transform. Shape ((big_l+1)**2, final_length)\n", "\n", " See Also\n", " --------\n", " gauss_legendre_trapezoidal_1d\n", "\n", " \n" ] } ], "source": [ "print(quadratures.complex_spherical_harmonic_transform_1d.__doc__)" ] }, { "cell_type": "markdown", "id": "0012e7f8-df7e-4ae6-9f77-4fce0d248db8", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 68, "id": "8916665e-094d-46ba-8fa5-b63fea55be9e", "metadata": {}, "outputs": [], "source": [ "big_l_c = 15\n", "big_l = 1\n", "final_length, pre_vector, transform = quadratures.complex_spherical_harmonic_transform_1d(big_l, big_l_c)" ] }, { "cell_type": "code", "execution_count": 69, "id": "dd6c729b-88d7-4a92-8b12-246073fe3fa6", "metadata": {}, "outputs": [], "source": [ "from biosspheres.utils.auxindexes import pes_y_kus\n", "pesykus, p2_plus_p_plus_q, p2_plus_p_minus_q = pes_y_kus(big_l)\n", "(quantity_theta_points, quantity_phi_points, weights, pre_vector,\n", " spherical_harmonics) = (\n", " quadratures.gauss_legendre_trapezoidal_complex_sh_mapping_2d(\n", " big_l, big_l_c, pesykus, p2_plus_p_plus_q, p2_plus_p_minus_q))" ] }, { "cell_type": "code", "execution_count": 70, "id": "cd607372-a23d-47b5-9634-316c30682aa3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0.9999999999999977+0j)\n", "(0.9999999999999996-4.205982639596493e-18j)\n", "(0.9999999999999934+0j)\n", "(0.9999999999999996-1.8731017686501848e-18j)\n" ] } ], "source": [ "integral = np.sum(spherical_harmonics[0, :, :].flatten('F') * transform[0, :])\n", "print(integral)\n", "integral = np.sum(spherical_harmonics[1, :, :].flatten('F') * transform[1, :])\n", "print(integral)\n", "integral = np.sum(spherical_harmonics[2, :, :].flatten('F') * transform[2, :])\n", "print(integral)\n", "integral = np.sum(spherical_harmonics[3, :, :].flatten('F') * transform[3, :])\n", "print(integral)" ] }, { "cell_type": "markdown", "id": "0858880e-da27-4905-9775-2332eb817a4c", "metadata": {}, "source": [ "## `sphere.from_sphere_s_cartesian_to_j_spherical_2d`" ] }, { "cell_type": "markdown", "id": "6dfff5bd-17fb-4f72-b1a0-6f9ddf9e2d83", "metadata": {}, "source": [ "Given points in the cartesian coordinate system $s$, this algorithm writes them in the spherical coordinate system $j$. See the following subsection for the format of the inputs." ] }, { "cell_type": "markdown", "id": "57944ecb-b768-47a4-a1e6-8d0503998246", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 71, "id": "d5911f65-72f4-4e65-88b3-7919e9397f3e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Given points in the cartesian coordinate system \"s\", this algorithm\n", " writes them in the spherical coordinate system \"j\". The \"j\" has its\n", " center in a different point than the center of the coordinate system\n", " \"s\".\n", "\n", " Notes\n", " -----\n", " Input:\n", " x_s = r_s sin(theta) cos(varphi) ,\n", " y_s = r_s sin(theta) sin(varphi) ,\n", " z_s = r_s cos(theta) ,\n", " To the cartesian coordinate system j:\n", " x_j = x_s + (p_s - p_j)_x ,\n", " y_j = y_s + (p_s - p_j)_y ,\n", " z_j = z_s + (p_s - p_j)_z ,\n", " To the spherical coordinate system j:\n", " r_j = sqrt{x^2_j + y^2_j + z^2_j} ,\n", " cos theta = r_j / z_j ,\n", " varphi = arctan2 (y_j / x_j)\n", "\n", " Parameters\n", " ----------\n", " r_s : float\n", " > 0, radius of the sphere s.\n", " p_j : np.ndarray\n", " of floats of dimension 1, length 3, represents the position\n", " vector of the center of the sphere j.\n", " p_s : np.ndarray\n", " of floats of dimension 1, length 3, represents the position\n", " vector of the center of the sphere s.\n", " quantity_theta_points : int\n", " how many points in theta.\n", " quantity_phi_points : int\n", " how many points in phi.\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors. Shape\n", " (3, quantity_theta_points, quantity_phi_points).\n", "\n", " Returns\n", " -------\n", " r_coord : np.ndarray\n", " Two dimensional array of floats with the spherical coordinate r\n", " of the points in the coordinate system s. Shape equals to\n", " (quantity_theta_points, quantity_phi_points).\n", " phi_coord : np.ndarray\n", " Two dimensional array of floats with the phi coordinate r of the\n", " points in the coordinate system s. Shape equals to\n", " (quantity_theta_points, quantity_phi_points).\n", " cos_theta_coord : np.ndarray\n", " Two dimensional array of floats with the cosine of the spherical\n", " coordinate theta of the points in the coordinate system s.\n", " Shape equals to (quantity_theta_points, quantity_phi_points).\n", "\n", " See Also\n", " --------\n", " from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_2d\n", " from_sphere_s_cartesian_to_j_spherical_1d\n", "\n", " \n" ] } ], "source": [ "print(quadratures.from_sphere_s_cartesian_to_j_spherical_2d.__doc__)" ] }, { "cell_type": "markdown", "id": "23f53b08-5166-400d-ac9f-5451ddf7c099", "metadata": {}, "source": [ "As long as the input points are given in the cartesian coordinate system $s$, the function will do what it is supposed to." ] }, { "cell_type": "markdown", "id": "0f20ca60-52b1-4de3-aa63-381b28cbccb9", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 72, "id": "18a5c19f-3c7b-4b66-8fef-7921d71fca31", "metadata": {}, "outputs": [], "source": [ "radio_1 = 1.2\n", "radio_2 = 1.7" ] }, { "cell_type": "code", "execution_count": 73, "id": "90731f1e-3036-4d08-9401-866bfd4e22de", "metadata": {}, "outputs": [], "source": [ "p_1 = np.asarray([2., 1., 2.5])\n", "p_2 = -p_1" ] }, { "cell_type": "code", "execution_count": 74, "id": "d559ab02-d685-432f-9e40-10e64c0309ee", "metadata": {}, "outputs": [], "source": [ "big_l_c = 4" ] }, { "cell_type": "code", "execution_count": 75, "id": "403a8501-bbf1-4039-bff6-a07736f0c157", "metadata": {}, "outputs": [], "source": [ "quantity_theta_points, quantity_phi_points, weights, pre_vector = quadratures.gauss_legendre_trapezoidal_2d(big_l_c)" ] }, { "cell_type": "code", "execution_count": 76, "id": "571afcc1-79ec-439b-a7ea-c65d6e39b48a", "metadata": {}, "outputs": [], "source": [ "r_coord, phi_coord, cos_theta_coord = quadratures.from_sphere_s_cartesian_to_j_spherical_2d(\n", " radio_2, p_1, p_2, quantity_theta_points, quantity_phi_points, pre_vector)" ] }, { "cell_type": "code", "execution_count": 77, "id": "0ed8126b-1b07-4e2b-ae41-be4afc008b11", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=plt.figaspect(1.), dpi=68., layout='constrained')\n", "ax_1 = fig.add_subplot(111, projection='3d')\n", "vector = radio_1 * pre_vector\n", "ax_1.scatter3D(\n", " vector[0, :],\n", " vector[1, :],\n", " vector[2, :])\n", "sin_theta = np.sqrt(1-cos_theta_coord**2)\n", "ax_1.scatter3D(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord)\n", "for i in np.arange(0, quantity_theta_points):\n", " for j in np.arange(0, quantity_phi_points):\n", " ax_1.quiver(\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " sin_theta[i, j] * np.cos(phi_coord[i, j]),\n", " sin_theta[i, j] * np.sin(phi_coord[i, j]),\n", " cos_theta_coord[i, j],\n", " pivot='tail', length=r_coord[i, j], arrow_length_ratio=0.0625, alpha=0.325)\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "94d74339-08e2-470b-8c15-69a47e11f945", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "## `sphere.from_sphere_s_cartesian_to_j_spherical_1d`" ] }, { "cell_type": "markdown", "id": "de51e479-41e4-485e-86d1-54a589d27738", "metadata": {}, "source": [ "Same than `sphere.from_sphere_s_cartesian_to_j_spherical_2d`, but with different format input and output." ] }, { "cell_type": "markdown", "id": "a09c691a-f2d5-471a-a7eb-d7ec16da16be", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 78, "id": "1e24d857-511a-48f7-8966-84bfd60f7915", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Given points in the cartesian coordinate system \"s\", this algorithm\n", " writes them in the spherical coordinate system \"j\". The \"j\" has its\n", " center in a different point than the center of the coordinate system\n", " \"s\".\n", "\n", " This one is for a slow routine.\n", "\n", " Notes\n", " -----\n", " put:\n", " x_s = r_s sin(theta) cos(varphi) ,\n", " y_s = r_s sin(theta) sin(varphi) ,\n", " z_s = r_s cos(theta) ,\n", " To the cartesian coordinate system j:\n", " x_j = x_s + (p_s - p_j)_x ,\n", " y_j = y_s + (p_s - p_j)_y ,\n", " z_j = z_s + (p_s - p_j)_z ,\n", " To the spherical coordinate system j:\n", " r_j = sqrt{x^2_j + y^2_j + z^2_j} ,\n", " cos theta = r_j / z_j ,\n", " varphi = arctan2 (y_j / x_j)\n", "\n", " Parameters\n", " ----------\n", " r_s : float\n", " > 0, radius of the sphere s.\n", " p_j : np.ndarray\n", " of floats of dimension 1, length 3, represents the position\n", " vector of the center of the sphere j.\n", " p_s : np.ndarray\n", " of floats of dimension 1, length 3, represents the position\n", " vector of the center of the sphere s.\n", " final_length : int\n", " how many points.\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors. Shape (3, final_length).\n", "\n", " Returns\n", " -------\n", " r_coord : np.ndarray\n", " One dimensional array of floats with the spherical coordinate r\n", " of the points in the coordinate system s. Length equals to\n", " final_length.\n", " phi_coord : np.ndarray\n", " One dimensional array of floats with the phi coordinate r of the\n", " points in the coordinate system s. Length equals to\n", " final_length.\n", " cos_theta_coord : np.ndarray\n", " One dimensional array of floats with the cosine of the spherical\n", " coordinate theta of the points in the coordinate system s.\n", " Length equals to final_length.\n", "\n", " See Also\n", " --------\n", " from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_1d\n", " from_sphere_s_cartesian_to_j_spherical_2d\n", "\n", " \n" ] } ], "source": [ "print(quadratures.from_sphere_s_cartesian_to_j_spherical_1d.__doc__)" ] }, { "cell_type": "markdown", "id": "1fa347ba-0de3-4cde-b91f-f21411044aa8", "metadata": {}, "source": [ "As long as the input points are given in the cartesian coordinate system $s$, the function will do what it is supposed to." ] }, { "cell_type": "markdown", "id": "2f91e877-4964-48be-8bf1-bebd73b49bae", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 79, "id": "5435a25a-ecec-499f-946c-fd198c81421d", "metadata": {}, "outputs": [], "source": [ "radio_1 = 1.2\n", "radio_2 = 1.7" ] }, { "cell_type": "code", "execution_count": 80, "id": "19c345eb-6e63-4453-a512-90188d4fad55", "metadata": {}, "outputs": [], "source": [ "p_1 = np.asarray([2., 1., 2.5])\n", "p_2 = -p_1" ] }, { "cell_type": "code", "execution_count": 81, "id": "f9d6b3fb-f083-457d-8b1e-ab9c83db3477", "metadata": {}, "outputs": [], "source": [ "big_l_c = 3" ] }, { "cell_type": "code", "execution_count": 82, "id": "657b83c2-b958-4fe6-bc14-260d14a9f9cc", "metadata": {}, "outputs": [], "source": [ "final_length, total_weights, pre_vector = quadratures.gauss_legendre_trapezoidal_1d(big_l_c)" ] }, { "cell_type": "code", "execution_count": 83, "id": "cc74c816-ead2-4554-85be-2fcc73653033", "metadata": {}, "outputs": [], "source": [ "r_coord, phi_coord, cos_theta_coord = quadratures.from_sphere_s_cartesian_to_j_spherical_1d(\n", " radio_2, p_1, p_2, final_length, pre_vector)" ] }, { "cell_type": "code", "execution_count": 84, "id": "2fdf98d0-9840-41a0-b18c-ca490db95d1b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=plt.figaspect(1.), dpi=68., layout='constrained')\n", "ax_1 = fig.add_subplot(111, projection='3d')\n", "vector = radio_1 * pre_vector\n", "ax_1.scatter3D(\n", " vector[0, :],\n", " vector[1, :],\n", " vector[2, :])\n", "sin_theta = np.sqrt(1-cos_theta_coord**2)\n", "ax_1.scatter3D(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord)\n", "for i in np.arange(0, final_length):\n", " ax_1.quiver(\n", " np.zeros_like(vector[0, i]),\n", " np.zeros_like(vector[0, i]),\n", " np.zeros_like(vector[0, i]),\n", " sin_theta[i] * np.cos(phi_coord[i]),\n", " sin_theta[i] * np.sin(phi_coord[i]),\n", " cos_theta_coord[i],\n", " pivot='tail', length=r_coord[i], arrow_length_ratio=0.0625, alpha=0.325)\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2ad711b4-54ab-4c88-b2ed-a9ca3b364ca3", "metadata": {}, "source": [ "## `sphere.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_2d`" ] }, { "cell_type": "markdown", "id": "0ef2d32d-1a8c-4756-9330-73fe6dea494b", "metadata": {}, "source": [ "Given points in the cartesian coordinate system $s$, this algorithm writes them in the spherical coordinate system $j$, and also gives the dot product between the unitary vectors of the spherical system obtained times the normal of the unitary sphere. See the following subsection for the format of the inputs." ] }, { "cell_type": "markdown", "id": "e5033f07-c79b-4018-ac01-f0561323a118", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 85, "id": "85701f23-873f-4576-87fe-e867677455f0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Given points in the cartesian coordinate system \"s\", this algorithm\n", " writes them in the spherical coordinate system \"j\", and also gives\n", " the dot product between the unitary vectors of the spherical system\n", " obtained times the normal of the unitary sphere.\n", " The \"j\" has its center in a different point than the center of the\n", " coordinate system \"s\".\n", "\n", " Notes\n", " -----\n", " put:\n", " x_s = r_s sin(theta) cos(varphi) ,\n", " y_s = r_s sin(theta) sin(varphi) ,\n", " z_s = r_s cos(theta) ,\n", " To the cartesian coordinate system j:\n", " x_j = x_s + (p_s - p_j)_x ,\n", " y_j = y_s + (p_s - p_j)_y ,\n", " z_j = z_s + (p_s - p_j)_z ,\n", " To the spherical coordinate system j:\n", " r_j = sqrt{x^2_j + y^2_j + z^2_j} ,\n", " cos theta = r_j / z_j ,\n", " varphi = arctan2 (y_j / x_j)\n", " Unitary vectors:\n", " hat{mathbf{e}}_r = sin(theta) cos(varphi) hat{mathbf{e}}_x\n", " + sin(theta) sin(varphi) hat{mathbf{e}}_y\n", " + cos(theta) hat{mathbf{e}}_z\n", " hat{mathbf{e}}_theta = cos(theta) cos(varphi) hat{mathbf{e}}_x\n", " + cos(theta) sin(varphi) hat{mathbf{e}}_y\n", " - sin(theta) hat{mathbf{e}}_z\n", " hat{mathbf{e}}_{varphi} = -sin(varphi) hat{mathbf{e}}_x\n", " + cos(varphi) hat{mathbf{e}}_y\n", "\n", " Parameters\n", " ----------\n", " r_s : float\n", " > 0, radius of the sphere s.\n", " p_j : np.ndarray\n", " of floats of dimension 1, length 3, represents the position\n", " vector of the center of the sphere j.\n", " p_s : np.ndarray\n", " of floats of dimension 1, length 3, represents the position\n", " vector of the center of the sphere s.\n", " quantity_theta_points : int\n", " how many points in theta.\n", " quantity_phi_points : int\n", " how many points in phi.\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors. Shape\n", " (3, quantity_theta_points, quantity_phi_points).\n", "\n", " Returns\n", " -------\n", " r_coord : np.ndarray\n", " Two dimensional array of floats with the spherical coordinate r\n", " of the points in the coordinate system s. Shape equals to\n", " (quantity_theta_points, quantity_phi_points).\n", " phi_coord : np.ndarray\n", " Two dimensional array of floats with the phi coordinate r of the\n", " points in the coordinate system s. Shape equals to\n", " (quantity_theta_points, quantity_phi_points).\n", " cos_theta_coord : np.ndarray\n", " Two dimensional array of floats with the cosine of the spherical\n", " coordinate theta of the points in the coordinate system s.\n", " Shape equals to (quantity_theta_points, quantity_phi_points).\n", " er_times_n : np.ndarray\n", " Two dimensional array of floats with the dot product of the\n", " canonical vector of the spherical coordinate r in the points\n", " in the coordinate system s and the normal of a sphere. Shape\n", " equals to (quantity_theta_points, quantity_phi_points).\n", " etheta_times_n : np.ndarray\n", " Two dimensional array of floats with the dot product of the\n", " canonical vector of the spherical coordinate theta in the points\n", " in the coordinate system s and the normal of a sphere. Shape\n", " equals to (quantity_theta_points, quantity_phi_points).\n", " ephi_times_n : np.ndarray\n", " Two dimensional array of floats with the dot product of the\n", " canonical vector of the spherical coordinate phi in the points\n", " in the coordinate system s and the normal of a sphere. Shape\n", " equals to (quantity_theta_points, quantity_phi_points).\n", "\n", " See Also\n", " --------\n", " from_sphere_s_cartesian_to_j_spherical_2d\n", " from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_1d\n", "\n", " \n" ] } ], "source": [ "print(quadratures.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_2d.__doc__)" ] }, { "cell_type": "markdown", "id": "c9a87cd5-4368-465a-a2d5-667388c0d8ec", "metadata": {}, "source": [ "As long as the input points are given in the cartesian coordinate system $s$, the function will do what it is supposed to." ] }, { "cell_type": "markdown", "id": "2ec486f7-9b5a-43bd-9a89-1041ff338384", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 86, "id": "3b4f55e6-26e8-4023-880f-a01fcf959ec0", "metadata": {}, "outputs": [], "source": [ "radio_1 = 1.2\n", "radio_2 = 1.7" ] }, { "cell_type": "code", "execution_count": 87, "id": "97e0ac6d-cc50-4a7a-a32c-438e67b0daf4", "metadata": {}, "outputs": [], "source": [ "p_1 = np.asarray([2., 1., 2.5])\n", "p_2 = -p_1" ] }, { "cell_type": "code", "execution_count": 88, "id": "cda78afc-34fd-4332-a3a8-5c0caba1ca35", "metadata": {}, "outputs": [], "source": [ "big_l_c = 30" ] }, { "cell_type": "code", "execution_count": 89, "id": "9a570941-14cd-4da9-859c-5b6a0db7fb0a", "metadata": {}, "outputs": [], "source": [ "quantity_theta_points, quantity_phi_points, weights, pre_vector = quadratures.gauss_legendre_trapezoidal_2d(big_l_c)" ] }, { "cell_type": "code", "execution_count": 90, "id": "f0a74c90-bbe9-4242-9d3e-c0bc4e4ec624", "metadata": {}, "outputs": [], "source": [ "r_coord, phi_coord, cos_theta_coord, er_times_n, etheta_times_n, ephi_times_n = quadratures.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_2d(\n", " radio_2, p_1, p_2, quantity_theta_points, quantity_phi_points, pre_vector)" ] }, { "cell_type": "markdown", "id": "ca915bad-532d-4ece-836e-8e077ec83eef", "metadata": {}, "source": [ "Projections in the other sphere:" ] }, { "cell_type": "code", "execution_count": 91, "id": "1ae4ade8-bd16-4db5-83d0-2109611c824c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=plt.figaspect(.3), dpi=68., layout='constrained')\n", "ax_1 = fig.add_subplot(131, projection='3d')\n", "vector = radio_1 * pre_vector\n", "ax_1.scatter3D(\n", " vector[0, :],\n", " vector[1, :],\n", " vector[2, :])\n", "sin_theta = np.sqrt(1-cos_theta_coord**2)\n", "ax_1.scatter3D(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord)\n", "\n", "for i in np.arange(0, quantity_theta_points):\n", " for j in np.arange(0, quantity_phi_points):\n", " ax_1.quiver(\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " sin_theta[i, j] * np.cos(phi_coord[i, j]),\n", " sin_theta[i, j] * np.sin(phi_coord[i, j]),\n", " cos_theta_coord[i, j],\n", " pivot='tail', length=r_coord[i, j], arrow_length_ratio=0.0625, alpha=0.005)\n", "ax_1.plot_surface(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord,\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(er_times_n))\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "ax_1.set_title('Projection of the unitary vector corresponding to the radius')\n", "\n", "ax_1 = fig.add_subplot(132, projection='3d')\n", "vector = radio_1 * pre_vector\n", "ax_1.scatter3D(\n", " vector[0, :],\n", " vector[1, :],\n", " vector[2, :])\n", "sin_theta = np.sqrt(1-cos_theta_coord**2)\n", "ax_1.scatter3D(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord)\n", "\n", "for i in np.arange(0, quantity_theta_points):\n", " for j in np.arange(0, quantity_phi_points):\n", " ax_1.quiver(\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " sin_theta[i, j] * np.cos(phi_coord[i, j]),\n", " sin_theta[i, j] * np.sin(phi_coord[i, j]),\n", " cos_theta_coord[i, j],\n", " pivot='tail', length=r_coord[i, j], arrow_length_ratio=0.0625, alpha=0.005)\n", "ax_1.plot_surface(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord,\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(etheta_times_n))\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "ax_1.set_title('Projection of the unitary vector $\\\\theta$')\n", "\n", "ax_1 = fig.add_subplot(133, projection='3d')\n", "vector = radio_1 * pre_vector\n", "ax_1.scatter3D(\n", " vector[0, :],\n", " vector[1, :],\n", " vector[2, :])\n", "sin_theta = np.sqrt(1-cos_theta_coord**2)\n", "ax_1.scatter3D(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord)\n", "\n", "for i in np.arange(0, quantity_theta_points):\n", " for j in np.arange(0, quantity_phi_points):\n", " ax_1.quiver(\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " np.zeros_like(vector[0, i, j]),\n", " sin_theta[i, j] * np.cos(phi_coord[i, j]),\n", " sin_theta[i, j] * np.sin(phi_coord[i, j]),\n", " cos_theta_coord[i, j],\n", " pivot='tail', length=r_coord[i, j], arrow_length_ratio=0.0625, alpha=0.005)\n", "ax_1.plot_surface(\n", " r_coord * sin_theta * np.cos(phi_coord),\n", " r_coord * sin_theta * np.sin(phi_coord),\n", " r_coord * cos_theta_coord,\n", " rstride=1, cstride=1,\n", " facecolors=cm.coolwarm(ephi_times_n))\n", "ax_1.set_xlabel('$x$')\n", "ax_1.set_ylabel('$y$')\n", "ax_1.set_zlabel('$z$')\n", "ax_1.set_aspect('equal')\n", "ax_1.set_title('Projection of the unitary vector $\\\\phi$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b94cf316-14af-4856-a644-e6895cc9bfe7", "metadata": {}, "source": [ "## `sphere.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_1d`" ] }, { "cell_type": "markdown", "id": "16eea45e-b67d-437e-b934-98b97fe288c3", "metadata": {}, "source": [ "Given points in the cartesian coordinate system $s$, this algorithm writes them in the spherical coordinate system $j$, and also gives the dot product between the unitary vectors of the spherical system obtained times the normal of the unitary sphere. See the following subsection for the format of the inputs." ] }, { "cell_type": "markdown", "id": "98af1375-5337-4313-8990-b4a5ac44b10a", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "### Docstring and some comments" ] }, { "cell_type": "code", "execution_count": 92, "id": "4b54613f-20f9-4531-bd60-2db9945b921e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Given points in the cartesian coordinate system \"s\", this algorithm\n", " writes them in the spherical coordinate system \"j\", and also gives\n", " the dot product between the unitary vectors of the spherical system\n", " obtained times the normal of the unitary sphere.\n", " The \"j\" has its center in a different point than the center of the\n", " coordinate system \"s\".\n", "\n", " Notes\n", " -----\n", " put:\n", " x_s = r_s sin(theta) cos(varphi) ,\n", " y_s = r_s sin(theta) sin(varphi) ,\n", " z_s = r_s cos(theta) ,\n", " To the cartesian coordinate system j:\n", " x_j = x_s + (p_s - p_j)_x ,\n", " y_j = y_s + (p_s - p_j)_y ,\n", " z_j = z_s + (p_s - p_j)_z ,\n", " To the spherical coordinate system j:\n", " r_j = sqrt{x^2_j + y^2_j + z^2_j} ,\n", " cos theta = r_j / z_j ,\n", " varphi = arctan2 (y_j / x_j)\n", " Unitary vectors:\n", " hat{mathbf{e}}_r = sin(theta) cos(varphi) hat{mathbf{e}}_x\n", " + sin(theta) sin(varphi) hat{mathbf{e}}_y\n", " + cos(theta) hat{mathbf{e}}_z\n", " hat{mathbf{e}}_theta = cos(theta) cos(varphi) hat{mathbf{e}}_x\n", " + cos(theta) sin(varphi) hat{mathbf{e}}_y\n", " - sin(theta) hat{mathbf{e}}_z\n", " hat{mathbf{e}}_{varphi} = -sin(varphi) hat{mathbf{e}}_x\n", " + cos(varphi) hat{mathbf{e}}_y\n", "\n", " Parameters\n", " ----------\n", " r_s : float\n", " > 0, radius of the sphere s.\n", " p_j : np.ndarray\n", " of floats. Length 3, represents the\n", " position vector of the center of the sphere j.\n", " p_s : np.ndarray\n", " of floats. Length 3, represents the\n", " position vector of the center of the sphere s.\n", " final_length : int\n", " how many points.\n", " pre_vector : np.ndarray\n", " of floats. Represents the vectors. Shape (3, final_length).\n", "\n", " Returns\n", " -------\n", " r_coord : np.ndarray\n", " One dimensional array of floats with the spherical coordinate r\n", " of the points in the coordinate system s. Length equals to\n", " final_length.\n", " phi_coord : np.ndarray\n", " One dimensional array of floats with the phi coordinate r of the\n", " points in the coordinate system s. Length equals to\n", " final_length.\n", " cos_theta_coord : np.ndarray\n", " One dimensional array of floats with the cosine of the spherical\n", " coordinate theta of the points in the coordinate system s.\n", " Length equals to final_length.\n", " er_times_n : np.ndarray\n", " One dimensional array of floats with the dot product of the\n", " canonical vector of the spherical coordinate r in the points\n", " in the coordinate system s and the normal of a sphere.\n", " Length final_length.\n", " etheta_times_n : np.ndarray\n", " One dimensional array of floats with the dot product of the\n", " canonical vector of the spherical coordinate theta in the points\n", " in the coordinate system s and the normal of a sphere.\n", " Length final_length.\n", " ephi_times_n : np.ndarray\n", " One dimensional array of floats with the dot product of the\n", " canonical vector of the spherical coordinate phi in the points\n", " in the coordinate system s and the normal of a sphere.\n", " Length final_length.\n", "\n", " \n" ] } ], "source": [ "print(quadratures.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_1d.__doc__)" ] }, { "cell_type": "markdown", "id": "c6fda867-8b96-4c9b-9cdc-70ad96ad231f", "metadata": {}, "source": [ "As long as the input points are given in the cartesian coordinate system $s$, the function will do what it is supposed to." ] }, { "cell_type": "markdown", "id": "bfcd1aaf-654e-475c-95b0-8c9fb397ea07", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "code", "execution_count": 93, "id": "d00b0771-4586-4b53-b817-e557918f41df", "metadata": {}, "outputs": [], "source": [ "radio_1 = 1.2\n", "radio_2 = 1.7" ] }, { "cell_type": "code", "execution_count": 94, "id": "897343c7-b1c9-4608-8db6-3198eb504be0", "metadata": {}, "outputs": [], "source": [ "p_1 = np.asarray([2., 1., 2.5])\n", "p_2 = -p_1" ] }, { "cell_type": "code", "execution_count": 95, "id": "56907499-728d-4682-b998-359d534d44a6", "metadata": {}, "outputs": [], "source": [ "big_l = 1\n", "big_l_c = 10" ] }, { "cell_type": "code", "execution_count": 96, "id": "8f8cbb7f-3675-41e6-a0d4-7048345af289", "metadata": {}, "outputs": [], "source": [ "final_length, total_weights, pre_vector = quadratures.gauss_legendre_trapezoidal_1d(big_l_c)" ] }, { "cell_type": "code", "execution_count": 97, "id": "80350ef0-2fd4-4cba-b66a-b5342b64bb65", "metadata": {}, "outputs": [], "source": [ "r_coord, phi_coord, cos_theta_coord, er_times_n, etheta_times_n, ephi_times_n = quadratures.from_sphere_s_cartesian_to_j_spherical_and_spherical_vectors_1d(\n", " radio_2, p_1, p_2, final_length, pre_vector)" ] }, { "cell_type": "code", "execution_count": null, "id": "923449cb-4a26-472a-9a64-3ce7f9000380", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "reqbiosspheresnotebooks", "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": "3.9.18" } }, "nbformat": 4, "nbformat_minor": 5 }