{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Gravity and Magnetic Field Classes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*pyshtools* has dedicated classes for working with gravitational and magnetic field data. These classes extend the functionality of the classes SHCoeffs and SHGrid by adding several standard operations related to potential fields. Specific operations include the computation of the geoid, the computation of the three vector components of the gravitational and magnetic fields, the computation of the gravity and magnetic field tensor and eigenvalues, and the computation of the gravitational potential from relief along an interface.\n", "\n", "To start using the gravity and magnetic field classes, first import the standard *matplotlib* package, the *pyshtools* package, and the *pyshtools* subpackage *constant*:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import pyshtools as pysh\n", "from pyshtools import constants" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "pysh.utils.figstyle(rel_width=0.75)\n", "%config InlineBackend.figure_format = 'retina' # if you are not using a retina display, comment this line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gravity Field Classes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Operations on gravity fields are performed using the classes SHGravCoeffs, SHGravGrid, SHGravTensor, and SHGeoid. In gereral, the coefficients are stored in an SHGravCoeffs class instance, and this instance is used to initialize the other classes with global grids.\n", "\n", "There are several ways to initialize an SHGravCoeffs class instance:\n", "* SHGravCoeffs.from_zeros() - Set the degree 0 term to 1 and all other coefficients to zero.\n", "* SHGravCoeffs.from_array() - Import a *numpy* array of spherical harmonic coefficients.\n", "* SHGravCoeffs.from_file() - Read coefficients from a file.\n", "* SHGravCoeffs.from_random() - Initialize the coefficients as random variables with a given power spectrum.\n", "* SHGravCoeffs.from_shape() - Compute the gravitational potential coefficients from relief along an interface.\n", "\n", "Unlike SHCoeffs, when initializing an SHGravCoeffs class instance, it is necessary to specify the attributes gm, r0, and optionally omega, for the GM, reference radius of the coefficients, and the angular rotation rate of the body. \n", "\n", "Alternatively, the SHGravCoeffs class can be initialized using the pyshtools module *datasets*. When accessing a dataset, the file will first be downloaded from the original source and then stored in the pyshtools subdirectory of the userâ€™s cache directory (if it had not been done previously). The file hash will be verified to ensure that it has not been modified, and the file will then be used to initialize the class along with the necessary metadata. Here, we will make use of the GMM-3 gravity model of Genova et al. (2016):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [], "source": [ "clm = pysh.datasets.Mars.GMM3()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can inspect this class instance by using the info() method, by print(clm), or simply by entering the name of the class instance at the prompt:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "kind = 'real'\n", "normalization = '4pi'\n", "csphase = 1\n", "lmax = 120\n", "GM (m3 / s2) = 42828372854187.76\n", "r0 (m) = 3396000.0\n", "Omega (rad / s) = 7.088218127854995e-05\n", "error_kind = 'unspecified'\n", "header = ['3.3960000000000000e+03', '4.2828372854187757e+04', '1.6202815226760665e-05', '120', '120', '1', '0.0000000000000000e+00', '0.0000000000000000e+00']\n", "header2 = None\n", "name = 'GMM3'\n", "epoch = None\n" ] } ], "source": [ "clm.info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the constants submodule, we set the angular rotation rate of the planet, which is necessary when calculating the normal gravity and geoid. We also define variables for the planet's reference ellipsoid, such as the semimajor axis a, the flattening f, and the reference potential u0:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "clm.set_omega(constants.Mars.omega.value)\n", "\n", "a = constants.Mars.a.value\n", "f = constants.Mars.f.value\n", "u0 = constants.Mars.u0.value" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spectrum of the function can be plotted using the methods plot_spectrum() and plot_spectrum2d(). Unlike SHCoeffs class instances, we have the option of plotting the power spectrum of the geoid (default), potential, radial gravity, or total gravitational field as specified by the optional parameter function. The total spectrum is analogous to the Lowes-Mauersberger spectrum of magnetic fields." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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fa38HV2wtqazRgx9t0eV//Up/fHeD9hSUd6kOAAAAAADQNcZaG+wa0AOMMcmSsuueZ2dnKzk5OYgVOcO2nBJ997ll2pZTGvD41UePlMtl9PxXu1Tl9XXra08cEqOXvn+0YsJD2jx3x4FSfee5ZdqSXVK/L9Tt0uVHjtAP54xRSkzrQ2n7k+joaJWUlLR9ItAP0b7hdLRxOBntG05G+4ZT5eTkKCUlpeGuFGttx4e3tYIgzqEI4npOcUW1fvziKn20ofm8cW1xGelbs4brumPTFRvhkdsYGWPkdhn/Y5fkNka/f2eDXli6q9n1x4wdpGeuOaLVBSIWbs7RTf9arqKKmoDHw0NcuvroUfreCWOUGBXa4d+hr+FLAJyM9g2no43DyWjfcDLaN5yqN4I4hqb2EmPMIcaYfxpjNhtjiowxi4wxpwa7LnRcTHiInrpylm4+eVyHrps3bag+vO0E3XvRNE0YEqOhcRFKiQ1XckyYEqNCFRcZotjwEEWFeXT3uZM195CUZvdYtDVXd7yyWoECdGut/vb5dl3zzNIWQzhJqqj26cmF23XcvR/rzx9sUmF5dYd+DwAAAAAA0DkEcb3nKUleSf8j6XJJJZLeM8YcF9Sq0Ckul9Ftp4zXE9+epahQd6vnnjQxRe/cfKweuXymxiRHt+v+HrdLD102Q4cOj2927LUVWbrv/U2N9lVUe/WT/6zS79/ZIF87O7mWVnn18Mdbdey9H+vhBVtUUtlyeAcAAAAAALqOoam9xBgTY60tbvA8UlKmpE+stRf2wOsxNLWXbN5frO8+t0w7cssa7T8iPVE/O22CDhuV2Ol755ZU6sLHFze7tyTdfe5kXXn0KO0rrND3/rFMqzILA97jnENTtb+oQksy8lp9rUFRoXrw0hk6dlxSp+sNBrrFw8lo33A62jicjPYNJ6N9w6mYI64PM8aESPqJpKskpcsfer0q6XfW2oJ23mOpJJe19rAeqI8grhcVllXrzx9u0oIN2RqbEq3rj03XceOSZIzp8r135pbqgscWK7e0qtF+Y6SfnDJe87/cqZziymbXuV1Gvz7rEF09e5QkafG2XP35g01avqugxdcKD3Hphe8cpRkjErpcd2/hSwCcjPYNp6ONw8lo33Ay2jeciiCulxljkiT9RtIPJHkkjbLW7gxwXrikDyQdJ6lI0npJkyXFSNosaba1Nrcdr5cr6UNr7aXd9kscvDdBnIOs2l2gS5/6SuXV3nadHx8Zoscun6nZYxv3brPW6tNNOfrzh5u0Nqso4LWDokL16g9na+SgqC7X3Rv4EgAno33D6WjjcDLaN5yM9g2nYrGGXmKMCTfG/EzSVkk/kj+Ea82f5Q/htkgaba09Wv5ecZskjZf0YDte81JJiZJe7kLpGCAOHR6vR6+YIber7R52E4fE6M0bj20WwkmSMUZzJqborZuO1ZNXztKEwTHNzsktrdI1z3ytvCY98AAAAAAAQNcQxPlNlHSvpCpJN7V2ojFmtKTv1j69vK7nW+3227X7LzLGtDgxWG1vtfskLZH0StdKx0Bx0sTBuue8Ka2ec/rkIXrlB7M1YlBkq+cZY3Ta5CH67y3H6Qcnjml2PONAqW6Y/7Uq2tkDDwAAAAAAtI0gzm+1/ENSx1hrH23j3Mvk7zG3wlq7rOGB2ufrJIVJuiLQxcaYUEmvSYqQdLFlbDA64NIjRujmk8cFPHbbKeP12BUzFRXWVofOg1wuo5+dNkEXzEhrdmz5rgLd+u+V8rZ3GVYAAAAAANAqgjhJ1lqftfbuhquatuLU2u07LRxf0OS8erULPPxH0nRJ51prd3W0VuDHc8fp6qNH1j+PDvPoqStn6eaTx8nVjqGrTRlj9L8XTtPsMYOaHXtv3T7d886GLtULAAAAAAD82t91BnWm1m7XtHB8Y+12aMOdxhi3pH/JH9CdZa1d3DPlwemMMfrduVN0zvRUZeaX68TxKYqLDOnSPUM9Lj1x5Sx96/EvtWl/4zz66UUZSkuI0PXHpnfpNQAAAAAAGOgI4jrAGBMtKaH26YEWTsuv3dYHccYYl6TnJF0k6WeSiowxsxpcs8Za2+6Z8Y0x7em51/GuUehXZo1M1KyRbZ/XXrHhIXrm2sN1/mOLtL+ostGx37+zXqlx4Tpj6tAWrgYAAAAAwHEyjDGtztdkrW2+CmIrDFOUNdfgTR5lrd3ZYP9QSXtqn0631q4KcO1pkt6T5JUUaq31GWOOl/RZKy/Z6HXaUV97g7iouieRkZEyhmwObXMPGqm4C++UK7Txgg+2pkqFr9+tmn2bg1RZYKWlpYqKimr7RKAfon3D6WjjcDLaN5yM9g2nstaqrKys4a5SSd0axNEjrmOqGzx2t3BO3X6Xav+xrLUL1Y091Nrzj1y7Mmt23fMdO3YoOTm5u0qAwy3cnKPrnv1aNQ0WajCeUKVf9b/6z/eO1rjBHfqc6VHR0dEqKSkJdhlAj6B9w+lo43Ay2jecjPYNp8rJyVFKSkrDXenW2pzufA0Wa+iYXEl1Q0ibz2zvVzd0tYQVUdFfHT8+WX+4YGqz/fll1Tr9wc9147+W65ud+aKJAwAAAADQfgRxHVAbrNUNTU1q4bS6IC6z5ysCes7Fhw3XLSePa7bf67N6Z/VeXfj4Yp336CK9sTJLVTW+IFQIAAAAAED/QhDXcXVB3LQWjk+p3W7ohVqAHnXr3HG6aNawFo+vyizULf9eqePu+1iPfrJVeaXtXnMEAAAAAIABhzniOm6xpNmSzpT08wDHT67dftxrFQE9xBijP14wVT5r9eryrBbP219Uqf97f5MeWrBFZ0wZoqgwj8qrvaqo9qqi2qfyKm+D5165XUYzRyTo4sOH67CRCSwkAgAAAAAYEFg1NYCWVk2tPXaYpK9rnx5prV3a4NhsSYvkn0cu3Vq7R0HSdLGG7OxsFmtAl6zcXaBnFmXondV7Gy3i0FWjk6N08WHDdcHMNKXEhHf4eiaKhZPRvuF0tHE4Ge0bTkb7hlMFWKwhhcUagsxau0zS27VPnzfGDJKk2u382v1PBDOEA3rC9OHxevDSGfrijpN045wxio8M6Zb7bs8p1f/+d6OO/uPH+u5zy7Rgw37VeJlzDgAAAADgPPSIC6C1HnG1xwdL+krSKEmFktZLmiwpVv6hqydbayt6p9rA6BGHnlZe5dXrK7P09BcZ2pLdvX8NGxwbpgtnDtNlR4zQ8MTIVs/trb/GlVTWaMeBUqUnRSkqrHOj+r0+q7dX79H76/YpMtSjq44eqWnD4ru3UDgKf22G09HG4WS0bzgZ7RtO1Rs94gjiAmgriKs9Z5CkuyWdJ/9KqTsk/VPS/1lrgz5jPUEceou1Vl9sPaC/f5GhTze1/PkU4jYKD3ErPMSt3JJKtWd0a6jHpbvPnaxLDh/R4jm98SXgvbV79YvX1iqvtErhIS5dcthw3XDc6DZDwjrWWn2wfr/+/MEmbd5/sFaXkb53whjdOnecwjzuniof/RhfcuF0tHE4Ge0bTkb7hlMRxKHTCOIQDPmlVcrML1d4iKs+dIsIdSvc45LHfXAk/L7CCr2yPFP/WbZbO3PL2rzvXedO1lVHjwp4rKe/BLy9eo9u+fdKeZskh26X0TmHpup7J4zWxCGxAa+tCyn/9P4mrcosbPE1xqVE60/fOlSHDo/vztLhAHzJhdPRxuFktG84Ge0bTkUQh04jiEN/4PNZLcnI03+W7da7a/aqsqblueF+ddYhuuG40c329+SXgLdW7dGtLzYP4Zo6eWKKfnDiGB02KrF+3zc78/V/72/UV9vz2vVa9I5DIHzJhdPRxuFktG84Ge0bTkUQh04jiEN/U1herTdXZunFZbu1Nqso4Dk/PW2CbpwzttG+nvoS0N4QrqHDRyXosiNG6N01e/XRhuy2LwiA3nFoiC+5cDraOJyM9g0no33DqQji0GkEcejP3ly1Rz9uIQS75eRxunXuOBljJLX8JcBaq8825+jNlXvktVbnHJqqkyam1F/X1uvf+u8V7ZrHrqNiwv2LNHy4fn+j+eIacruMvnf8aN1C77gBjy+5cDraOJyM9g0no33DqXojiOvc0n8A0IPOOTRVYR6XbvrXclV7G6dhDy7YoiqvTz87bULAUM3rs3p/3T49+slWrdtzsGfdGyv36NBhcbp17nidOCG5xUDujZVZ+vGLKwOGcL8/b4qmDYvT459u03vr9qkjf8eICHHr2mNG6bvHj1Z8ZKhuPnmcHlqwRU98tr1Z4Oj1WT326TZ9uH6/fnHmITpuXFKjOfYAAAAAAP0TPeIcih5xcIKPN+7X9/+5XFUB5o677ph0/XreIYqJiVFJSYmqvT69viJLj3+2TdtzSlu97/Th8bp17jidML5xINdaCHfP+VN0xZEj659vyynRU59t16srMpuFhQ2FuI2uOHKkfjhnjFJiwpsdX51ZoNtfWtVi7zhJSooO0zmHpuqCmWmanBrbrl59cAb+2gyno43DyWjfcDLaN5yKoanoNII4OMXnW3L0neeWqaK6eRh35VEjdf81x+vRd5frqYXblVVQ3qF7zxwRrx+fMl7Hjk3SGyv36Lb/BA7h/nD+VF1+5IiA99hXWKG/f7Fdzy/ZpbIqb/1+l5EunDlMN588TsMTI1uto7LG22LvuKbGpUTr/JlpOm96mlLjI9r+JdGv8SUXTkcbh5PRvuFktG84FUEcOo0gDk7y5bZcXT//60ZBVx1bXSET0rynWUdMSYvV+j1FHQ7hGiooq9LzS3bpq+25GjkoUtfMTtfYlOgO1dGe3nF1jJGOSh+k82akKi0+Um6Xkcdt5HEZeVyu+sdul1FEqFtDYsPpSdcP8SUXTkcbh5PRvuFktG84FUEcOo0gDk6zbEeernnma5VU1rT7mriIEF09e5S8Pp+eXbRDpQGCvNb88YKpuuyItkO47lTXO+6vn2cEHJLbWelJUfrrVYd1OBxEcPElF05HG4eT0b7hZLRvOBVBHDqNIA5OtHJ3ga76+xIVVbQexiVFh+k7x6XriqNGKjrMvyZNXmmVnlq4Xc99uSNgz7qm/veCqbq0l0O4hvJLq/T2mr16bXmmlu8q6JZ7jk6K0n9vPY6VWPsRvuTC6WjjcDLaN5yM9g2nIohDpxHEwanWZhXq239fooKy6mbH0uIj9P0Tx+hbs4YpPCRw2JRbUlkbyO1UeXXzQM4Yfwh3yeHBC+Ga2nGgVK+tyNJrK7K0K6+sS/f66WkTdOOcsd1UGXoaX3LhdLRxOBntG05G+4ZTEcSh0wji4GQb9xXp+meX1S/OMCY5Sj88cazOmZ6qELerXffIKa7Uk59t0z++2qnK2iGgxkj3XjBNFx8+vMdq7wprrZbvytery7P09uq9KixvHka2JTzEpY9uO0HDElpfQAJ9A19y4XS0cTgZ7RtORvuGUxHEodMI4uB0lTVefb75gC6ad6rytq6Uy9W5hQiyiyv05so92ldYoYsOG6aJQ2K7udKeUVnj1RdbDmjz/hJVe32q8Vl5fT7VeG3tY6tqr0+fbspptprsaZMH68krDwtS5egIvuTC6WjjcDLaN5yM9g2nIohDpxHEYaDgS0DrPt+Soyv/vrTZ/meuPVxzJqQEuAJ9Ce0bTkcbh5PRvuFktG84VW8Ece0bwwUA6JeOG5ess6YObbb/zjfXqSLAHHkAAAAAgJ5DEAcADvereYcoMrTx4hU7c8v05Gfbg1QRAAAAAAxMBHEA4HBD4yJ0y8njmu1/7NOt2pXbtVVYAQAAAADtRxAHAAPAdcema1xKdKN9lTU+3fX2uiBVBAAAAAADD0EcAAwAIW6Xfnfu5Gb7P9qQrY/W7w9CRQAAAAAw8BDEAcAAMXtMks45NLXZ/jvfYuEGAAAAAOgNBHEAMID88qxDFB3mabQvM79cj32yNUgVAQAAAMDAQRAHAAPI4Nhw3Tq3+cINT3y2XTsOlAahIgAAAAAYOAjiAGCAuXr2KE0YHNNoX5XXpzvfWidrbZCqAgAAAADnI4gDgAEmxO3S3edNabb/0005uu0/q/T3LzL02eYcZRWUy+cjmAMAAACA7uJp+xQAgNMckZ6oC2ak6dUVWY32v7YiS6812BcZ6tbo5CiNTY7W2JRoHTo8XrPHJMntMr1dMgAAAAD0ewRxADBA/fzMQ/Th+v0qrqxp8ZyyKq/WZhVpbVZR/b5JQ2P1wKXTNb7J8FYAAAAAQOsYmgoAA1RyTJh+evqEDl+3fm+R5j38hZ5ZlMHQVQAAAADoAII4ABjArjxqpO44faLS4iM6dF1VjU+/e2u9rn5mqfYXVfRQdQAAAADgLIYV8pzJGJMsKbvueXZ2tpKTk4NYEdAzoqOjVVJSEuwyHKGoolrbsku0NbtEW3NK6h/vyitTax3f4iND9Ifzp+rMqUN7r9gBgvYNp6ONw8lo33Ay2jecKicnRykpKQ13pVhrc7rzNZgjDgAgSYoND9GMEQmaMSKh0f6Kaq925Jbq30t369nFO5pdV1BWrR8+v1wXzRqm3549STHhIb1UMQAAAAD0LwxNBQC0KjzErYlDYnXnOZP13HVHKCUmLOB5L3+TqTMe/Fxf78jr5QoBAAAAoH8giAMAtNvx45P1/q3H64wpQwIez8wv1yVPfqk731ynzPyyTr1GfmmVnlq4TTfMX6bfvLFWn2zMVkW1tytlAwAAAECfwBxxDsUccRgomJ8iOKy1emV5lu58c51KKmsCnuMy0hlThuq6Y9M1a2RCwHMaWr+nSPMX79DrK7NUWeNrdCwixK1jxyVp7iEpmjMxRSkx4d3ye/R1tG84HW0cTkb7hpPRvuFUvTFHHEGcQxHEYaDgS0Bw7c4r049fXKllO/NbPW/GiHhdf2y6Tp88RB73wc7Y1V6fPli3X/MX79DSDgxpPXR4vE6emKKTD0nRpKGx8vqsqrw+VddYVXq9qvZaVdf4VOX1qap2W1nd4HmNT1Veb6N9FdVeFVfWqKSiRiW120bPK2tkrdX04fH63gljdNToQZ1+39qL9g2no43DyWjfcDLaN5yKIA6dRhCHgYIvAcHn9Vk98dk23f/hZtW0tryqpLT4CF0ze5ROmTRYb6/eo39+tUv7iiq69PrGSMH4v7JjxybptlPHa+aItnv7dRbtG05HG4eT0b7hZLRvOBVBHDqNIA4DBV8C+o41mYW6++31HerZ5gQnT0zRj08Zrylpcd1+b9o3nI42DiejfcPJaN9wqt4I4jzdeTMAwMA1dVic/vP9o7U6s0B//yJD76ze22YPuUCMkeZMSNEVR45QXmmVFmzI1udbclRa1TcXbFiwMVsLNmbrzKlD9OO54zVucEywSwIAAADQR9EjzqHoEYeBgr/G9V17C8s1f/FO/WvJThVVBF7QoaGYcI8uPmy4rjxqpEYlRTU6Vlnj1Vfb8/Txhv36aEO2sgrKe6rsZqJC3YoO9yg6zKPd+eWqarKQREPGSOdNT9N1x6RraHy44iNCGs2J11G0bzgdbRxORvuGk9G+4VQMTUWnEcRhoOBLQN9XWlmjV5Zn6ukvMrQjt6zZ8XEp0bp69iidPyNNUWFtd9S21mrT/mIt2JCtJRl5Kq+qUajHpRC3S6Ful0I8LoW5a5/X7g/xGIV53Arz+M8J9dT+uF0KC6nbuhUd5lFMbegWHe5RVKhHbpepf+19hRV65JMtevHr3ar2tu//P+MiQpQYFaqEyLptqBKjQjUmOVqnTRmiuIiQFq+lfcPpaONwMto3nIz2DaciiEOnEcRhoOBLQP/h81kt2Jitf361U1v2F+vQ4fG68qiROnrMIBlj2r5BH7I7r0wPLdiiV5ZnqhOjb+vFRYTopjljdeXRIxUe4m52nPYNp6ONw8lo33Ay2jeciiAOnUYQh4GCLwEIpu05JXrgoy16a/WeLq3cmhYfodtOGa/zZqQ16oFH+4bT0cbhZLRvOBntG07VG0Fc5yeuAQBggBudHK2HLpuh/95ynE6bPLjT98kqKNdPXlqlsx76XJ9szBZ/JAMAAACciVVTAQDooolDYvXklYdp3Z5CfbQ+W/uKKpRfWqW8sirll1Ypv6xKeaVVbQ5j3bivWNc++7WOTE/U/5wxsXeKBwAAANBrCOIAAOgmk1PjNDk1LuAxn8+quKJGeWVVWp1ZoPs/3Bxw8QpJWpKRp/MfW6yY03+sjfuKNHFIbE+WDQAAAKCXEMQBANALXC6juMgQxUWGKD0pSmdOHap/f71bD360RQdKKgNeEzb2KJ3+wOeaOSJelx0xQvOmpSoitPmiDgAAAAD6BxZrcCgWa8BAwUSx6O9KK2v0t88z9NTCbSqt8rZ6bky4RxfMSNPlR47UhCExvVQh0HP4DIeT0b7hZLRvOBWrpqLTCOIwUPAlAE5xoKRSDy/YoueX7FJNW5PJSZo5Il6XHzlSZ00dSi859Ft8hsPJaN9wMto3nIogDp1GEIeBgi8BcJqduaX60web9daqPe06Pzbco0uPGKEfnDBGCVGhPVwd0L34DIeT0b7hZLRvOFVvBHGu7rwZAADompGDovTwZTP08U9OUNnyN5XYRrhWVFGjpxZu1/H/94me+GybKqpbH94KAAAAIHgI4gAA6INGJ0erbPHz+vLnJ+mhy2bo6NGDWj2/uKJG//vfjTrpT5/qlW8y5W3H8FYAAAAAvYsgDgCAPizM49Y5h6bqhe8epY9/coK+e/zoVnvJ7Sms0E9eWqV5D3+hhZu7tRc9AAAAgC4iiAMAoJ8YnRytX5x5SH0vuZkj4ls8d8PeIl319FJd+fclWrenMOA5Pp9VeZVX+aVVyi6qkI9edAAAAECP8gS7AAAA0DF1veTOnjZUH67fr/99b6O255QGPPfzLQf0xdYvNDY5WlVenyqqvaqo9m8ra3yNzk2IDNFlR4zQD+eMVXQYXxEAAACA7kaPOAAA+iljjE6dPEQf3Hq87jl/ipKiwwKeZ620JbtEO3PLtL+oUoXl1c1COEnKL6vWY59u04n/96n+vXQX88wBAAAA3YwgDgCAfs7jdumKI0fq05+eqFtOHqeIEHeX7negpFL/8+oazXv4Cy3eeqCbqgQAAABAEAcAgENEh3n041PG67OfnqjLjxwht8t06X4b9hbp8r8t0Q3zlynjQOChrwAAAADajwlgAABwmJTYcP3h/Km67phRemjBVi3elquqGq8iQt0KD3Er3ONWeIhLYSF1z13alVemjfuKA97vow379dnmbF119CjdfNI4xUWG9PJvBAAAADgDQRwAAA41NiVGD102o13n+nxWr67I0n3vbVR2cWWz49Veq79/kaFXlmfqrKlDdczYJB09epASokK7u2wAAADAsQjiAACAXC6ji2YN0xlThujJz7bpqc+3q6K6+YIOBWXVen7JLj2/ZJeMkSanxuqYMUmaPTZJR4xKVERo1+anAwAAAJzMWMuKaE5kjEmWlF33PDs7W8nJyUGsCOgZ0dHRKikpCXYZQI8IZvveU1Cu+97bqNdX7mn3NaFul2aMiNeR6YmKCQ+Rx23kcRm5Xa4Gj41C3C5FhLg1dVhciyu9YmDgMxxORvuGk9G+4VQ5OTlKSUlpuCvFWpvTna9BjzgAANBManyEHrh0hq6ePUp3v71ey3cVtHlNldenJRl5WpKR167XcLuMTps8WFceNUpHjU6UMV1bXAIAAADo6wjiAABAi2aMSNArP5itt1fv1d++yNDqzAJ1V2d6r8/q3TX79O6afRqbEq0rjxqpC2amKSacxSAAAADgTAxNdSiGpmKgoFs8nKwvtu+Csip9tT1XX2w9oMVbc7X9QGm33j8y1K3zZ6TpyqNHauKQ2G69N/qevtjGge5C+4aT0b7hVAxNBQAAfUp8ZKhOnzJUp08ZKsk/l9zibblatPWAFm09EHDF1Y4oq/LWLwZxxKhEnTcjTYcMjdHYlGh6ygEAAKDf65YgzhhzpqT3rbXe7rgfAADoH1LjI3TRrGG6aNYwWWu1LadUu/PL5PVa1fh8qvFZ1Xht7dZXv12xu0Dvrtmram/LPfOX7sjT0h0H55sbGheusSnRGpcSo3GDozWu9nFcJAEdAAAA+oc2gzhjzBRJkyRlSfrSWusLcFq+pM3GmH9aa3/bzTUCAIB+wBijsSnRGpsS3ea510j61VmT9J9lu/X8Vzu1p7CizWv2FlZob2GFPt9yoNH+tPgInTJpsM6aNlSzRiTI5WLRBwAAAPRNLc4RZ4xxS3pa0rcb7M6S9Ctr7XMBzn9H0unWWndPFIqOYY44DBTMTwEnGyjtu8br08cbs/WPr3Y2C9k6anBsmM6YMpRQrp8YKG0cAxPtG05G+4ZTBXuOuJ9IulKSlfSmpE2Shki6zxhzhqSrrLXVDc4v6s7CAADAwOBxu3Tq5CE6dfIQZRwo1T+/2qmXlu1WUUVNh++1v6hSzy7eoWcX7yCUAwAAQJ/TWo+4jZLGSbrQWvt6g/0eSTdJOknSxdbaitr9L9Q+p0dcH0CPOAwU/DUOTjaQ23dFtVfLduRr8/5ibcku0dbsYm3eX6LC8uq2Lw5gcGyYzpuRpksPH6H0pKhurhadNZDbOJyP9g0no33DqYLdIy5d0tcNQzhJstbWSHrAGPOppKeNMddaa7u2RBoAAEAD4SFuHTsuSceOS6rfZ63VgZIqbcku1tbsEm3ZX6LVWYVatbugzfvtL6rUk59t15OfbddRoxN12REjdNrkIQoP4e+HAAAA6D2tBXHFkra0dNBau9IY81tJTxhjvt/tlQEAADRgjFFyTJiSY8I0e8zBgG5PQbneXbNX767Zq+W7Ctq8z1fb8/TV9jzFR4boghnDdNkRwzVucEwPVg4AAAD4tTY09SVJydbaE1u9gTFjJf1KUryksxma2jcwNBUDBd3i4WS0747raChXZ9bIBF16+HDNm5aqiFC+yvQW2jicjPYNJ6N9w6l6Y2hqa0HcREmLJH3bWvvfVm9izARJH0saQhDXNxDEYaDgSwCcjPbdNXWh3Fur9mhVZmG7romLCNGlRwzXVUePUlp8RA9XCNo4nIz2DSejfcOpghrESZIxZpSkRyRtlvRba21xK+dOlPSJtXZodxaIziGIw0DBlwA4Ge27+2zYW6R/L92lV1dkqbgdq7G6XUanTx6ia48ZpVkjE2RM6yuuFpZVa+GWHH2yKVvf7MxXaaW39sjB71lNv3Ilx4TptMlDdOkRwzU0bmCGfrRxOBntG05G+4ZTBT2Iqz/JmBRJpdba0jbOG2Wt3dFNtaELCOIwUPAlAE5G++5+5VVevbtmr/799S59vSO/XddMTYvTdceO0llTUxXqcUnyLxyxfm+RPt2Uo09rwzdf21+pAnIZ6aSJKbr8yBE6YXyK3K7WQz8noY3DyWjfcDLaN5yqzwRx6H8I4jBQ8CUATkb77llbs4v176W79cryTOWXVbd5fnJMmC45bLhyiiv16eZs7S/q/kXj0+IjdMnhw3XJ4cM1ODa82+/f19DG4WS0bzgZ7RtO1e+COGNMqKSRkgZJCmnrfGvt59324v2AMWaapHslHSn/irQPWWuf76HXIojDgMCXADgZ7bt3VNZ49d7afXp28Q6t6MACDz3J7TI6ubaX3PHjkuXqQi+5imqvtuwvUbXPp1C3S2Eel0LrftwuhdRuQ92uLr1OZ9DG4WS0bzgZ7RtO1RtBnKc7bmKMOU3S7ZKOkRTWzstsd71+f2CMmSppYe3PtyWdLekfxhhrrf1XUIsDAGAAC/O4de70NJ07PU0rduXrmUU79O6avarp5FjTELfRsIRI1U0r1zDaqptrrrzKq6yC8hbv4fVZfbB+vz5Yv18pMWE6c+pQzZs2VDNHJLQrLKuq8enzLTl6e/Vefbh+v0oq254XT5JGDYrUtw4brquOHqmY8Db/pgoAAIAO6nKPOGPMvfKHcFLj75ptsQNphVVjzIuSDpM02VpbUbvvI0nDrLUTe+D16BGHAYG/xsHJaN/Bs6+wQv/8aqeeX7KzXcNWh8SG68QJyTpxQoqOGTuozRDLWqsVuwv0ryW79PbqPaqo9rWrrqFx4Tpz6lCdNW2oZgyPb7SIRI3Xpy+35+qtVXv0/rr9Kixvu+6WxEWE6NpjRuna2emKi+y5QI42DiejfcPJaN9wqj4/NNUYM1fSB/L3bjOSdktaJGmPpGI1XCosAGvtXZ1+8SAzxoRI+omkqySlyx96vSrpd9bagibnJkjKkfR/1tqfN9j/XUlPSpplrV3ezfURxGFA4EsAnIz2HXwV1V69sTJLzyzaoY37Di4e73YZzRqRoBMnJmvOhBRNHBLT5sqqLSksq9arKzL1ryW7tCW7/f/eafEROmvaUM0amaDPt+Tov2v2Kbe0qlM1tCQmzKOrZo/U9ceOVmJUaLfeW6KNw9lo33Ay2jecqj8EcZ9IOkFStaTrJf3LWtu+P+n2QcaYJEm/kfQD+YfNjrLW7gxwXrj8AeRxkookrZc0WVKMpM2SZltrcxucP0vSMkkXW2tfarD/aEmLJV1orX21m38XgjgMCHwJgJPRvvsOa62WZuRpxe4CDU+I1LFjk7q9p5i1Vst25utfS3bpnTV7VVXTd75SRYa69e2jRuqG49KVEtN9i0jQxuFktG84Ge0bTtUf5og7VP5eb3dba//ZDfUERW2wdrOkX0iKa8clf5Y/hNsi6Whrba4xZpD8vQEnSHpQ/nng6gyv3Tb9x8uv3aZ1snQAANALjDE6cvQgHTl6UI++xuGjEnX4qET9Zt4kvb4yS2+t2qPlXVxAIsRtdNy4ZI0bHK2qGt/BH2/jx7vzyrQjtyzgPcqqvHpq4XbNX7xDlx0xQjccl65hCZFdqgsAAGAg6moQVy5/cPVhN9QSTBPlX800R9JNkh5p6URjzGhJ3619enldz7faMO7bkr6WdJEx5mZrbV7teXVz4bma3K7ueWXXfwUAAOAUCVGhuvaYdF17TLqyCsr17uq9envNXq3aXdCu690uo9ljBunsaak6bfKQdvXe8/ms3lu3Tw9/vFUb9hYFPKeyxqdnF+/Q/C936OSJKbriqJE6oYurugIAAAwkXQ3iNksaIimqG2oJptXyD0l9wFpbbIxpMYiTdJn879sKa+2yhgestcuMMevkH6Z6haSHaw9l1W6bjg0d1OQ4AABAI2nxEfrO8aP1neNHa3demd5Zs1fvrN6rNVmFjc4zRjpiVKLmHZqqM6YMUVJ0exey93O5jM6cOlRnTBmijzZk6+GPt2h1ZmHAc62VPtqQrY82ZGtEYqSuOHKEvnXY8Dbnkavx+rQtp1SrMwuUcaBUUcdepV+/vlbVXn+vvGqvVXWNr/6512c1JjlaN84ZqyFx3TckFgAAIFi6OkfcRZL+I+lla+3F3VZVkBlj6t6UZnPEGWM+k3S8pN9ba38d4NoH5R/m+ra19uzafYMl7ZV/sYY7Gpx7k/xh3SHW2o3d/DswRxwGBOangJPRvtGanbmlenfNPm3LKdHk1FidOXWoBsd2X1hlrdVnm3P08Mdb9c3O/DbPD/W4NG/aUH37qJGaMTxePittzS7RmqxCrc0q1OrMAq3fW9TuFWIbSo4J01+vOkzTh8d34jcBgoPPcDgZ7RtO1ecXa5AkY8ybkuZJek3SdxsuUtBftRHE5UlKkHSJtfY/Aa79gaTHJH1jrT2swf73JI2XNMlaW2H8S6t9JinUWntUD/wOBHEYEPgSACejfaMvsNbqy+25enjBVn25vX1f80YkRiqnuFLl1d5uqyPM49KfvnWozj40tUPXbdlfrOeX7FJ2cYXOnpaq06cM6fQKt0BH8BkOJ6N9w6n6w2INknSJpEclXSPpBGPM1/L3/mor4bPW2hu64fV7jTEmWv4QTpIOtHBa3Z+MhzbZf4/8c+m9aIx5QtJ5ko6SdG4n6ihuz2kdvS8AAEBTxhjNHpOk2WOStDqzQP/8aqfeWLlHla2s6rorL/CiD11RWePTj15Yoe05pbr55LFthmkV1V498vFWPblwm6q9/q+l767Zp7mHDNYfL5iq5JiODd0FAAADUkaDzloBWWtjOnLD7ugRN0bS45Lmqu3wrRFrrbvts3pfSz3ijDFDJe2pfTrdWrsqwLWnSXpPklf+3m6+BsfmSvqtpGmSVkr6o7X2vU7U194grn7uvsjISP76C0cqLS1VVFR/n6YSCIz2jb7KhEUpbOIJiph6qtzxTf/22PMqNn+hkgVPSN7qgMdDhk1V9Ik3yB0/JOBxX3mRSj79q6q2Le3JMjHA8RkOJ6N9w6mstSora/QHxVK1kXX1ahBnjBkmaYn8CzZIHeuFZfthEJck/8qqkjTLWrs8wLVnSnpH/n8ot+1q0tlJDE3FQEG3eDgZ7Rt9nc9ntWjbAf3jy536aMN++dr41pMWH6Fpw+I0Jc3/c86pc/T1ki8V4nYpxG0U6nb5H3tc8riMHv1kqx7+eGvAe00fHq+nrpqllJiD8+IdKKnUPe9s0Gsr2rcO1vkz0nTnOZMVF9H2qrJAR/EZDiejfcOp+sPQ1F/r4BDMLfIPUf1G/qGpNV28d1+UK6lKUqgOrnjaVN3Q1ZJghXAAAAC9weUyOm5cso4bl6w9BeV6Yekuvbo8S/uKKjQkNlxT0+I0tTZ4m5oW12xVVe+BHRo/uOU/Iv/k1AkanRylO15eoypv46GwK3cX6PxHF+tvVx+miUNi9NKyTP3hvxtUUBa4l1wgr63I0lfbc3XfRdN03Dj+YAkAAHpeV4O4U+Xv+bVU0snW2u6fEKQPsdZaY8weSaMkJbVwWl0Ql9krRQEAAPQBqfER+smpE/STUyfI57NyubpnSozzZwzTiMRIffe5b5RbWtXoWFZBuS56fLHGD4nRil0FLd5jwuAYDYkL12ebm/9Be29hha78+1JddfRI/c8ZExUZ2h1TKAMAAATm6uL1dX86vNfpIVwDdXPETWvh+JTa7YZeqAUAAKDP6a4Qrs6skYl6/cZjNH5wdLNjpVXeFkO4MI9LPzt9gt6++Vg9e+3huvfCqYoKDTwzynNf7tSZD36uL7flikENAACgp3Q1iNtRu93Vxfv0J4trt2e2cPzk2u3HvVALAADAgDA8MVKv/GC2TpzQviGkx41L0oc/PkE/PHGsQtwuGWN0yeEj9N6tx+vI9MSA1+zILdNlf/1KJ//5Mz20YIt25Xb/35mttaqs8aqwrFpVraw8CwAAnKmrizXcK+l2ST+z1v6526oKspYWa6g9dpikr2ufHmmtXdrg2GxJi+SfRy7dWrtHQcJiDRgomCgWTkb7htN1po3XeH36w7sb9fSijIDHk6JD9ZuzJ+vsaUNbXDHe57N6elGG7nt/U5th2MwR8Tp/RprmTUtVQpM57uqUV3m1eX+xNu0r1sZ9xdqaU6Ki8mpVVHtVWeNTRbW39senihqv6r5+u11Gs0Ym6NRJgzX3kMEalcQKhE7CZzicjPYNp+qNxRq6GsQNlrRSUoSkOdbaFd1UV1C1FsTVHn9L0jxJWyUdZa3NNcYMkvSVpLGSHrLW3tJrBQdAEIeBgi8BcDLaN5yuK238+SU79Zs31snbYKnWy44Yof85faLiItu3CurW7GLd9p9VWp1Z2Oa5HpfRiROSdc70NLmN0aZ9RdpUG77tzCtTd4xmHZsSrbmHDNYpk1I0fXiC3N08xBe9i89wOBntG07V54M4STLGHCrpdfnni3tY0luSMtSOVVO7+5fpLu0I4gbLH7qNklQoab2kyZJi5R+6erK1tqJ3qg2MIA4DBV8C4GS0bzhdV9v42qxC/ePLnYoIdevsQ1M1a2RC2xc1Ue316dFPtuqRj7eqxtd35oYbFBWqkyamaO6kwZo1MkFJ0WHBLgkdxGc4nIz2Dafq80GcMeY1+cOnEZLGyL+CantZa22fXJaqrSCu9pxBku6WdJ78K6XukPRPSf9nra0KdE1vIojDQMGXADgZ7RtO15faeFZBuV5bnqlXV2Rpe05psMtpZnBsmA4ZGqtJQ2M1KdW/HTUoqtsXxkD36UvtG+hutG84VX8I4nw6GL519FuAtdYGXrYKXUYQh4GCLwFwMto3nK4vtnFrrdZmFem1FVl6c9UeHSip7NR9QtxG4SHu2h+Xwj0NHoe4FeJ2aXVmYafvL0mRoW5NHBKjQ4bGalxKtNKTozU6KUqp8REMa+0D+mL7BroL7RtO1RtBXFd7pH2mjvWCAwAAAPosY4ymDovT1GFx+sWZE7VoW65eX5Gl99buU3m1t9n54SEujR8cowmDYzRhSIwmDonVhCExSooObXGxiDo+n9WqzAJ9tGG/PlqfrU37iztUa1mVV8t3FWj5roJG+0PdLo0cFKn0pCilJ0dpdFKU0pOiNXJQpJKjw3q0F53PZ1VcWaMar0+JUW2/BwAA9AU+n9VnW3L0xHs9v/RBl+eIQ99EjzgMFPw1Dk5G+4bT9ac2XlpZo4827NfGfcUK97g1YYg/eBuRGNltvc925Zbpww379dH6/Vq6I6/RQhTdJdTt0tD4cKXFR2hYQoTS4iOVlhBR/zwi1K3SyhqVVNaotNLb4PHBfcUV1SqqqFZReY0Ky/2PC8urVVRereLKmvqFK+IiQjQ1LU5T0uI0NS1O04bFaVhCxIAJ5/pT+wY6ivYNpyiuqNYr32Rq/pc7lXGgVN6yQmU+fEXDU/rW0FT0XQRxGCj4EgAno33D6WjjLSssq9anm7O1cneB1u8p0oa9RSqqaHMttD4vPrJxODd7zCDFR4YGu6weQfuGk9G+0d9lHCjV/MU79PI3mSqpPPj/r70RxPXJxRIAAACAgSwuMkTnTk/TudPTJPnnrssqKNf6PUVav7eofpuZXx7kSjumoKxan285oM+3HJAkhXlcuvnkcfre8aPlcbuCXB0AwMl8PqvPtx7Q/MU79MmmbAWrXxpBHAAAANDHGWM0LCFSwxIiderkIfX7C8urtWV/sbYfKFXGgVJl5NRuc0tVVeMLYsXtU1nj0/+9v0n/XbtX9114qCalxga7JACAA63NKtTtL63Sxn0dm4+1JxDEAQAAAP1UXESIDhuVqMNGJTba7/NZ7Sks94dyB0q1PadUWQXlysovV2Z+WbcOc40IcSsuIkSxER7FhocoLiJEVV6f1u8pUm5pVbvusTarSOc88oVunDNWN84Zq1BP9/aOK6msUXFFtYbEhg+YOeoAAH5vrdqjn768ShXVrf+BKi0+QhfMTtbtD/dsPQRxAAAAgMO4XAd70B03rvk8wcUV1coqKFdmXrk/oKv98fmsosI8ig7zKCrMffBxqKfRfn/wFqLY8JAWQzNrrfYUVmhNZqHWZhVqdZZ/m9dCOFfjs3pwwRa9v26f7rtomqYNi+/071/t9WnV7gIt3HJAn2/J0ardBfJZaUxylK44cqQunDVMcREhnb4/AKDv8/ms/vTBJj326bZWzztqdKKuPSZdcw8ZrLzcA7q9h+tisQaHYrEGDBRMFAsno33D6WjjA0/dXHff7MzXnz/YrF15ZQHPcxnpu8eP0a1zxyk8xN2u++7ILdPnW3L0+ZYD+nJbbqPJt5sKD3HpnENT9e2jRnYp8GsN7RtORvtGX1dcUa1b/71SCzZmBzwe5nHp/Blpunr2KB0y9OC0CDk5OUpJSWl4Kqumon0I4jBQ8CUATkb7htPRxge2sqoa/en9zXpmcUaLE2aPTo7Sz06bqDCPSyWVNSqrqlFJpVellTUqrapRaWWNisprtHxXfqcXrpg2LE7fPnKkzj40VRGhbYd+7UX7hpPRvtGXZRwo1XeeW6at2YHb6A3HpuvGOWOVENV81W6COHQaQRwGCr4EwMlo33A62jgk6Zudefrpy6u1Pac0qHXEhnt04axhmj48XmEel8I8bv825ODjUI9LESFuJceEtTnXHO0bTkb7Rl+1cHOObvrX8oBzoYZ5XLrvomn1K5IH0htBHHPEAQAAAAiaWSMT9e7Nx+nBBVv01MLt8vq6v6NAWnyEJCmroOVec0UVNXpm0Y523W9wbJiuOyZdVx09qlt70XWGtVaZ+eVKjY+Q28VCFAAGJmut/v5Fhv7w7gYF+r+RoXHheurKwzR1WFzvF9dEr/WIM8aESDpT0n+tte1bPgmdRo84DBT8NQ5ORvuG09HG0dTqzAL97OXV2rivuEv3iQ7z6KjRg3T8+CQdNy5ZowZFymelzzZn659f7dInm7JbHA7bESkxYfrRSWN1yeEjmi1a0dPt21qrN1ft0X3vbVJWQbmGxoXr1/Mm6cypQ3vsNYE6fH4j2Lw+q5ziSu0tLNfewgp9sG6fXl+5J+C5s0Ym6PFvz1RKTHib93Xc0FRjTJmkaklvSvqPpPestdW9VsAAQhCHgYIvAXAy2jecjjaOQKpqfHr0k6169JOtqmln7ziXkaYNi9fx45J03PhkTR8erxB34NVcJWl3XpleWLpL/1m2WwdKut5HYFhChG45eZzOn5EmT+3rtta+q70+bcspUajbpRGJkfXXtNf2nBL9+o21WrQ1t9mxG45N1x1nTGz19we6is9v9Jbs4gp9uH6/MnJKtbeoQnsLyrWvsEL7iyvb1YP6ksOG667zJivM077ey04M4rZKGi2p7kXzJP1N0uPW2l29VsgAQBCHgYIvAXAy2jecjjaO1uzKLdOCjft1oKRSUWEeRYd5FBnqUXSYW1FhHv9PqEdRYW4lRoUqMrTjs+5U1fj03rp9+udXO7U0I6/LNY9JjtJtp0zQGVOGKDY2RiUlJfVDR1fuLqj/WZtVqMoanyRpSGy4Lj1iuC49fISGxLXeW6Oi2qvHP92mxz/dpiqvr8XzjhiVqEcun6GU2LZ7fzRkra2vyxjJyNRuJWNM7VZtzo8H5+PzGz3J57P6cnuunl+yUx+s29/uP8o05HYZ/fqsQ3T17FEd+sxyYhB3j6QLJY2T//Nc8odyNZL+ZK39Za8V43AEcRgo+BIAJ6N9w+lo4+hLtueUaHVmocqqvKqs8aqyxqfKat/BxzVeVVb7tGxnvjIOtL6wxOTUWH39+t91ztU3auXugnb1unO7jE45ZLCuOGqEjhmTJFeT+d4+35KjX7++Vjtyy9r1+yRFh+nRy2foyNGD2jx3474izV+8Q++u2afC8rYHLLldRrHhHsVGhCg2PESxER7/tsHjhKhQHTU6UWNTYtpVL/oXPr/RE3JLKvXyN5l6Yemudn/WBRIfGaJHL5+pY8YmdfhaxwVx9S9qTIykWZKOkjRX0jGSDlhrh/d6MQ5FEIeBgi8BcDLaN5yONo7+qMbr06vLs/Tggi2tLv7QFaMGReryI0foW7OGq9rn0+/f3qA3VwWe+6g1bpfRHadP0HeOG92sR4jXZ/XRhv16dtEOfbm9+RDX7nLM2EG67ph0zZmQ0ixcRP/F5ze6i7VWSzLy9PySXXp/7b5We/u2x/Th8Xrw0ukaOSiqU9c7NohrVoQxUZJOt9a+EuxanIIgDgMFXwLgZLRvOB1tHP1ZZY1X/166Ww9/vFUHSip75DVCPS6Ful0qqaxp8ZxvzRqmC2YO089fXd1iD5LTJw/R/31rmmLCQ1RYVq3/LNut+V/uUGZ+zwSJgaQnRema2aN04axhig7r+DBi9C18fqOrfD6rl7/J1JMLt2lbTuu9jBsyRkqODtPQ+AgNjQ3XkLhwpcaHa0hchEYnRWlyamyXhs/3+SDOGLNdkk/SGdbaLd1WFbqMIA4DBV8C4GS0bzgdbRxOUFZVo/mLd+qJz7a1a1inJKXFR2j68Hhtyynp9Aqx41Kidc/5U3VEeqIkqaiiWj99aZXeX7c/4PnpSVE6avQgvb4iS+XV3k69ZneICfPoksOH6+rZozQ8MTJodaBr+PxGV2zaV6xfvLZG3+zMb/PcELfR6VOG6qJZwzQ2JVopMWE9uhhNfwji9kgaLOlYa+2X3VYVuowgDgMFXwLgZLRvOB1tHE5SVFGtv32eob9/vl2lVQeDrugwjw4dHqfpw+M1fXiCDh0ep5QY/yIK1lot35Wvf361S++s2auqmraHZIWHuHTzyeN0w7GjFepp/B+j1lo9tXC77n1vozoxt7kkadbIBEWGumvvJ1lZ/7bB4yqvT8UVNSosr1ZReXX9Ag8d4TLSqZOG6FuHDdOk1FgNiQ1nEYh+hM/vILBW8tVINRVSdYV/W1NZu234vFLyVjZ4XHXwmLdK8lZL1iv5an+s13/fRs/r9lU3eFzT4LzarXFJLrd/2/Snbr+1kvwfIl6fV7tyS5WVXyZrrYysjKRKhahU4Sq14SpVhEoUrrCIGE1OT9P0scMUExMvecIll0sy7tp7N9zW7g+JlBJGSu6QTr/N/SGIe1HSRZLusdb+ptuqQpcRxGGg4EsAnIz2DaejjcOJ8kqrtGDDfn3/e9/TV+++qDHJ0e2aGy2vtEovf7Nbzy/ZpZ0tDDGdMyFZd507pc2eZF9uy9WPXljR7iGzUaFufeuw4brq6JEanRzdrmsaqqj2qriiRkUV/mCusLxaH2/M1svfZKqsqn2972LDPZowJKb2J1YTBsdowuAYxUV2/j+o0XP4/G6DtVJ1uVRZJFWWSFXFUmVx7eOS2sfF/sdVpQd/qstq95U1f1xTIdmuzZ82ILhCpKTxUsohtT+T/Nv4kf7Arg39IYibLGmJJI+kc62173dXYegagjgMFHwJgJPRvuF0tHE4WWfbt89ntWjbAf3zq536aEO2vD6r1Lhw/ebsSTpt8pB29xrbX1ShG59frmWtDP0aNShSV88epYtmDVNMePcHXoXl1frP17v17OIdnV7YYkhsuKYNi9NZ04bq1ElDFFHbW68ve3fNXj27aIfCQlw6c+pQXThzWLPei/3dgPj8ttYfgJXnS2V5/m153sHHFYWt//jaN1QdvSQkSkqZKCVPlCITpdAYKSxaCouRQg9uc4qrlDL1xIZX9q0gTpKMMSdIelbSCEkvSnpZ0hpJhZJavXl3/zI4iCAOA8WA+BKAAYv2DaejjcPJuqN9F5ZVa19RhcamRMvdiRVHq70+/fHdjXp6UUaj/ceNS9K1x4zSieN7ZyXTGq9PH67fr6cXZejrHW3PCdWSqFC3Tps8ROfNSNPsMYPkacc8UV6f1aZ9xVqxO18FZdU6ZmySpg+P73QNrams8ep3b63Xv5bsarR/aFy4vn/CGF1y+HCFh/T9ILE9+uXnt7X+gKz0gFSaI5XVbksPNNl34GD45u2ZhVjQd+WU+pTyp0Ztu28FccaY5yRFyT9P3Gy1Ebw1Ya21LJfTQwjiMFD0yy8BQDvRvuF0tHE4WV9q319uy9Wbq7I0KCpM505P1bjBMUGrZU1moZ5ZlKG3Vu9Rtbfz/y2aHBOmcw5N1fkz0hqtkphXWqUVu/K1fFe+Vuwq0KrdBY3m7JP88+DdcGy6Tp08pFMBZyB7Csr1g+eXa9XughbPSYoO03ePT9cVR45UVD9fObYvtW/5vFJJtlS8p3a7z78t2dfk+X6CtW5Sbd3yycjIyi2f3KZrHbz6kv4QxPl0MHzr6CeYtdY6488BfRBBHAaKPvUlAOhmtG84HW0cTkb7bl1OcaU+35KjTfuKtXFfsTbtK9a+oopO3WtMcpQmp8ZpTVahMg6Utvu64YkRuu6YdH3rsOGK7kIwtnjrAf3ohRXKLa1q1/kJkSG6/th0XTV7lGI7MSTYWqusgnKt21OkdXuKtH5PofYWVmhoXLhOmjhYcw9JUUpseIfv2xG91r69Nf6ArWiPVJRVu23yuHiff4EBJ3GFSKGR/iGTIZH+x54IKSTcv2iBJ6x2G65ir0dr9lVoW36NCqpdKql2qdx6VKlQVVmPqhSiKnlUqRBVKUTV1i2v3PLKJZfbo6TYCCXHRSklLlKD46OVHBuhrzIK9d/1B1TuNfLKrRq5arf+AC5Q/GPkk0u29scnl3xyy6e6JRn8SzYYhYW49cM543XdsekKcddGQtXltfPk1c2hV9L8ubdS8vkOLibRaFu7v2S/lL1BOrCl022iPwRxn6hjveAasdae1OkXR6sI4jBQ8CUXTkb7htPRxuFktO+OKyyr1qb9xdq0r6h2W6x1e4raveBDZ8WEe3T5kSN0zexRGhoX0e7rurpKbUy4R1ceNVLjBkcrzONWeIgr4Lai2qv1e4u0NqvQH7ztLVJBWevzjx06PF6nThqsUyYN1riU6G5fkbbb2ndNlVSUKRXskgp2+7eFuw8+L8rqPyGbO1QKj5fC4w7+hMUc/AmN9s9JFhothcUefBwa1WAb6Z/LzBPa5sut31OkJxdu09ur98rb2WWSOynEbXTM2CRlHChtcXGZQI4bl6R7zpuqEYNaX3Cmy2oqpdyt/lAue/3Bbf6ONi/t80Ec+i6COAwUfMmFk9G+4XS0cTgZ7bt7lFd59dGG/Xp9RZY+25yjmh4MHDwuo7Om+RdXmJoWp4SolsOQksoa/fSlVfrv2n0Bj49LidYlhw/Xs4t3KDO/cwtVdJeRgyJ1yiGDNXfSYB02MqFdc+u1pUPtu6JQysuQ8jOabHdIhZnqQt+enhEa45/MPyLh4Dai6fPan/rQLd7fW62HWWv15bZcPbFwuxZu7v0p9wdFheqKI0fo20eNrO91ubewXEu252lJRq6WbM/T9gC9UpOiQ/XreZN0zqGp3R4Kd0hlib/NVRbXrmTbfBXbnOxspVzxeMOrCOLQPgRxGCj4kgsno33D6WjjcDLad/fLK63SO6v36LUVWVq+q6Bd1yRFh2nmiHjNHJmgvNIqvbB0l4oratp1bWpcuCalxmpSapwmp8Zqcmqs0uIjtC2nRN/7xzfalhN4GOxZU4fqvoumKSrMo2qvT2+s3KPHPtkaMKDobYlRoTp72lBdMHOYpg2L63Qo0qx9V5dLuduk3C3Sga3+be42f+hWlttN1XeScUvRKbU/g6WoZCkqyb+NTGrwPMn/vBcCtY7y+qzeW7tPTy7cptWZhb3++hOHxOi6Y9N1zqGpbS44kl1Uoa8y8rRke6525pZp2rA4fff40YqPbLuXX1+Qk5OjlJSUhrsI4tA+BHEYKPiSCyejfcPpaONwMtp3z9qZW6rXV+zR6yuz6ueF87iMDhkaWx+8zRyRoGEJEY3CppLKGv3n6916elFGp3qqxUWEqKrGp/Lq5sMl3S6jn58xUdcfm94s4PL6rN5Zs1ePfrxVm/YXd/h122KMf1HQjhiTHKULZg7TeTPSlBbfjiG51qokN0tZm1fo7//3C/3gguMVXZyhqJIMRZTtrZ0FrBcZlxQ9RIpNPfgTPdj/E1O7jR6iMk+s/rsuR6+vzNLO3DJNTYvT3EkpmjMhpcPhUFFFtb7alqu1e4rkNkbpyVEanRSl0clRigxt3zyDPp/VnsJy7ThQph25pcorrVKNz8rns/JaK6/v4I/PWtX4rBZtPdCuIaCjBkUqPjJUMeEexYaHKDbCo5jwEMWEeRQT7lF0eIiKyqu1O79Mu/PKlZlfpsz8cpVUNg+njZHmHjJY1x2TrqNGJwa3J1sv6ldBnDEmRNIlkmZJSq/d/Z3uLhjtQxCHgYIvuXAy2jecjjYOJ6N99w5rrXbllam4okZjkqMVEdq+9QBrvD59uH6//vr59nb3rmtNUnSoHr5spo4eM6jV83w+qw837NcjH2/VmqzO9WxKig7VpNQ4TUmN1eTa3npD48O1NCNPH63frw/X79eewvYvfGGMdFT6IF0wM01nTB2q6DCPfMXZyt62Unk7Vql63wZFFGzW4IoMxan32rQvIkmuhBFS/HApbrgUm1YbuKUdDN3cgcMva62WZuTp5W8y9e6avc1WzpX8wenhoxI09xD/XHojB0U1O6fa69PK3QX6fMsBLdp6QCt3F7Q4H9vQuHCNTo7S6KRo/zY5Wh6XqZ1HrVQZtcHbrrwyVdX4uvbmNGCMdMaUIfre8WN06PD4Dl9vrVVBmT+cy8z3h3Mx4SGaPWZQwPfE6fpNEGeMuV3STyTVVWvkH+g91lqbEeDcUyXdaq1d3+UXR0AEcRgo+JILJ6N9w+lo43Ay2nf/8c3OfD39RYb+u3ZvpxZdmDEiXo9dMbPDCz2s21OkLdnFqqj2qbLaq4oanyqqvapssrVWSk+K0pQ0f/CWEhPWau+kunt/uH6/PtqwX+v2FLV4bpiqNNZkaZJr5/+3d99xclf1/sdfn930Tio1JPSWkITeBEQRERsi0m1YsNfrvf6uer1e9drbtRe6oFKVYgNEBCkhgYQSOgQIJYX0kLbn98f5rlnCzu5smdmd2dfz8ZjH7Mz3nO98dvZssvvec76H3WM+ezbOZ7eGpxiZSvfpLovTcOanCTyZxvFUcXs6jeWpNJan01heZCB7bzuSI3Ydz0E7jmHCiEGMHTaAYQP7lfz8n1yymstmPc2ls55i/pLyNxGAfF2/V+0xgUN2HMvDz6/gHw8v4tZHl7Q6W6w3GNCvgRP22Zb3HrYDk8b2vcCsUmoiiIuIHwHv4+X715YK4q4AXg/8d0rpi116cZVkEKe+wh9yVc8c36p3jnHVM8d37Xl66Rr+8dBC7luwnHsXLOf+Z5a3OpOqpdMP3J7PHbcHA/p1fQOESnl66Rr+et9z/OOu+1j71F3sHvPZvQjedowF9Ivum53VUlMKFjCGJ5om8EQaz/w0gSfShOJ+PCvp3M6ZA/s1MHbYQMYNH1jcD2D00AHMnr+UWx7p4evRVcGIQf0446BJvP3gSYwbPrCny6k71QjiylvEXEJEHA28nxy63Qn8F3AL0NbovwJ4A3BoV15bkiRJkqTuss2owbxtv4n/etzUlHhiyWruXbCMexcs/1dAt2jlWsYOG8hnj92N42ds24MVt2Hl87BgNiy4i22euYu3L5jN21c8AxW4Xv6yNIRH09Y8mrbikaat/vXxE2kCa0u84LCB/dhmcH8aG6LDM9fWbmji6aVreHppz+5GW21bjxzEuw6dzEn7T2TYwC5FOephXf3qva+4vxd4ZUppBdDeRfyal6Pu2sXXliRJkiSpIhoagsljhzJ57FCOm7r1v55ftXYDA/s10K+xl8yCW7UYnr4TnrnrX+EbKxZ0+8s8l7bgmQGTWDlyZy79+z285h2fZvmQ7VnTf3S+UBkwPiXGAweSc4Hhg/oxakh/Rg4ewMjB/YuP+9O/xXv35JLV/O3Bhdww73lueWQRL67v3hl6DQFH7DqeE/bZlkN2HMvtj+dr6V037zkWrVzXoXNtPXIQh+48lkN3HsfAfg08unAVjy5cyaOLVvHIwpUsXb2+zf4D+zUwacxQJo0dwqSxQ5k0ZijbjBrMgH4NNDYEDRE0NgSNzfcNQWMDDOrfyDajBveZDRPqXZeWpkbE48B2wAdSSj9t8XwTpZem7grcD6xOKQ3r9IurTS5NVV/hsg/VM8e36p1jXPXM8a2K2LAOnp0LT8+Ep+6Ap2bCC4+1368DFqaRPN64PcuG7UgauxvDtpvC1jtPY7utt6ahIQdBlRrfL67fyD8fXcwN857n+nnPd2pn22Y7jx/GCftsy5unb8P4EYNedrypKXHXU0v/tcHFQ8+//PMZPrAfB+44hsN2HsuhO41l8tihbYZhS1aty8HcwlU8tngVTSmx/egcvE0eO5QJwwf96z1U79TrrxEXEWvIk1sPSCnNbPF8W0HcocDfgbUppfKvZqkOMYhTX+EPuapnjm/VO8e46pnjW91i6ZPw1O05cHvqDnhmDmxc2z3nbugHY3eFLfeCCXvBlnuRJuzF2oFjGNS/7d1nqzG+U0o8snAlNz+8mAVL17Bw5VoWrVzHwhVrWbRyLUtWrXvZDqYjBvXjjdO24YR9tmXqtiM7NIPs8UWr+Ov9z/HUC2vYYsgADt15DHtvO6r3zHxUVfT6a8SRrwW3FdD2Hs0vNaW479ZPRJIkSZKkmtW0EZ67F568Deb/E+bfCsuf7p5zDxgGW+2db0XoxrjdoN9LL/YfwMvnjvWMiGCn8cPZafzwVo83NSVeWL2ORSvXsWjlWgb1b2TPrUe0GyKWMmnsUM48bIeulCyVpatB3GxyEHc48Kf2GkfEAOCj5NlyM9tpLkmSJElSfVq3Kl/bbf6t+fbk7bBuRdfPO2AYbDkVtp4OW0+DrabBmJ2gob5mdjU0BGOGDWTMsIHsSuthndQbdTWIuxB4HfDxiLg0pXRnqYZFCPc9YBdyEHdBF19bkiRJkqTasHZlnu32+D/ybcEsaNrQtXM29IetpsI2+8I2M3L4NmYnaOjcrDBJldelIC6ldHFEfBA4BPh7RHyVlwZsIyJiX/Jy1M8AO5NDuCtTSpd15bUlSZIkSeq11q6A+bfB4zfBEzfnHU27GryN2h623TcHb9vuB1tOgf69ZTGppHJ0dUYcwJuA68lh2xeLW/MVE2dt1jaABcD7u+F1JUmSJEnqHdavyUtMH7sRHvs7LLgL0sbOn69xIGyzD0w8ALY7IH88bHz7/ST1al0O4lJKiyNiH3K49jmg1NacG4EfAZ9LKS3v6utKkiRJktRjNm7Is9we+xs8emO+xltXdjQdPBomHljcDsobK2y2mYKk2tcdM+JIKW0A/i8izgFeA+xa3CYAS4C7gd+nlO7vjteTJEmSJKmqUoKF8+DRv+Xb4zd3bXOFkRNh0iE5dJt4EIzdGSK6q1pJvVS3BHHNUkorgUu785ySJEmSJPWIFc/m0O2RG/L9ymc7f65R28OkQ/Nt+0Ngi+27q0pJNaRLQVxE/Aa4Arg2pbS0OwqSJEmSJKlHrF0JT9wCj96Qw7eFXVjUNWp7mHwYTDosB2+jtuu+OiXVrK7OiHsrcAKwISJuAq4kL0F9osuVSZIkSZJUSU1N8Ozd8PB1OXh78jZoWt+5cw0dD5NfATscDpMPd8abpFZ1NYhL5J1Q+wNHFrfvRsQccih3ZUppdhdfQ5IkSZKk7rHs6WLG2/U5fFuzpHPnGTgiLzOdfHgO38bt5jXeJLWrq0HcGOAo4Oji1hz57w1MBT4XEU9ThHLA34qNHSRJkiRJqrz1a/LGCo9cl8O3hfM6d56G/rDdAbDjEbDDkbDVNGjs1suuS+oDuvSvRnFduEuLGxGxE5tCuSOB4cC2wAeK2/KIuJYcyl2bUlreldeXJEmSJOllXngCHvozPPQXeOzvsGFN584zfo8cuu14ZN7ZdOCw7q1TUp/T3bumPgw8DPwoIhqBfYCDi9tBwDbA24rbemBQd76+JEmSJKkP2rAOnrx1U/jW2VlvwyZsCt52OAKGb9mtZUpSxebRppQ2ArcXt+9GxF7AO4GzyAFc/0q9tiRJkiSpDq1ZCkvnw9Inivv5sORReOKfsG5Fx8/XbxBsfzDs+Mp8G7+H13mTVFEVC+IiYlvyEtWjgFcC45sPkTd5mFmp15YkSZIk1bCmjfDEzXmG2+JHN4Vua5d1/dzj94SdiuBt4kHQf3DXzylJZerWIC4i9geOK257Nz9d3K8FbiBfH+4PKaUF3fnakiRJkqQa1tQET90B91wK910BK5/rnvMOHJmXmu78atjpVS43ldSjuhTERcQw8qy344BjgXHNh4r7JcDVwO+BP6aUVnXl9SRJkiRJdSQleHZODt/uuQyWPdk95x2/Zw7edj4attsfGr0ykqTeoasz4hax6VpvAawC/gFcX9xmp5SauvgakiRJkqR6svCBIny7FBY/3PXzDRgGk1+Rg7edXw0jt+36OSWpAroaxA0gX+8N4E/Al4GbU0qpdBdJkiRJUp+z7OkcvM39LTw7t2N9GwfAqImb3bYvbhNh6DhoaKhM3ZLUjboaxP2SvCx1AnmJ6tHAsoi4kTwj7s8ppQe6+BqSJEmSpFq0egncdyXMvSRvvkAH5mxsdyDs9RbY9RgYsa1Bm6S60KUgLqX0HoCIOBB4E/AGYDfgjcXHRMQ84BLgspTS3V15PUmSJElSL7duNTx4bQ7fHvoLNK0vv+9We+fwbc/jYdR2latRknpIt+yamlK6FbgV+PeI2IkcxL0ROAjYHfhP4D8j4jHgUuDSlNLt3fHakiRJkqQe1tQEj98Ec36TZ8CtW1l+37G7wpQTcvg2dqfK1ShJvUC3BHEtpZQeBr4FfCsiRgJHAa8q7ncGPgV8KiKeSilt392vL0mSJEmqkoUPwN0XwZzfwfKnyu83crscvu11AkzYEyIqV6Mk9SLdHsS1lFJaBlwWEX8AZgAnAmcBgwC3sZEkSZKkWrNyYd50Yc7FsGB2+f0Gj4Y93wxTT4Rt9/eab5L6pIoEcRExGjgCeAVwADCNvMMqQPOfOpZV4rUlSZIkSd1swzp48I9w16/h4b9A04by+vUfCru9Dqa8FXY8Ehr7V7ZOSerluiWIK5agvgI4EnglsBebAreWc4znAtcUt1u647UlSZIkSRXy7FyYfSHM/S2sXlxen2iEnY6CqW+DXV8LA4ZWtkZJqiFdCuIi4mvk4G0a0DyvuGXwthL4Kzl4uzal9HRXXk+SJEmSVGGrl8Dc38HsC+DZOeX323Iq7H1yvvbbsPGVq0+SalhXZ8R9Gki8NHy7nyJ4A25KKXVgr2pJkiRJUtU1bYRHrs/h2wPXwMZ15fUbvjVMfStMPQkm7FHZGiWpDnTH0tQ1wPXk4O2alNIT3XBOSZIkSVKlLXk0h293XQQrFpTXp/8Q2P0NsPdJMPkV0NBY2RolqY50NYg7BrgxpbS2O4qRJEmSJFXYutVw/+9h1vnwxD/K7zfxIJh2Kuz5Jhg4vGLlSVI961IQl1L6c3cVIkmSJEmqkJTg6Vkw+zy45zJYu7y8fsO3hmkn5wBuzI6VrVGS+oBu2TV1cxGxJTAOWAs8m1Iq8195SZIkSVK3WbUI5vwmz35beH95fRoHwG6vg2mnwY5HuvRUkrpRtwVxETES+C/grcBWmx2bB1wCfCeltLS7XlOSJEmStJnmjRdmnQcPXAtNZe6ft9XeOXybcgIMGV3ZGiWpj+qWIC4iTgO+SZ4FBy/dRRVgN+A/gQ9FxMkuaZUkSZKkbrbksWLjhV+Xv/HCoFEw9W0w/TTYampFy5MkdUMQFxHHAucBiRzArQfuAx4DBgC7AJOBRmAL4A8RcWxK6bquvrYkSZIk9Wnr18B9v4fZ58PjN5XZKWCHI2DG6bDr66D/oEpWKElqoUtBXESMBn5RPFwP/C/wk5TSs5u12xr4PPAuoD9wfkTslFJa3ZXXlyRJkqQ+JyVYMDvPfpt7CaxdVl6/kRNh+qkw7RQYNbGyNUqSWtXVGXGfBLYE1gFvTSn9obVGKaUFwPsj4u/ABcAE4N3AD7r4+pIkSZLUN6xeAnN+m2e/PXdPeX0aB8Lur89LTycfDg0Nla1RktSmrgZxryUvSf1WqRCupZTSryPiVcA7gMMwiJMkSZKk0pqa4LG/5V1P510FG9eV12/LKTD9DDdekKRepqtB3KTi/qoO9PkDOYib0sXXliRJkqT6tHQ+zL4Q7roQlj1ZXp9BI2HKifnab1vtXdn6JEmd0tUgrvmqnis60Gd+cT+pi69dMyJid+D/AfuTl/LOBb7o7rGSJEmS/mX9i/DA1Xn226N/Iy8+KsPkw2HGGbDbcW68IEm9XFeDuAXkHVH3Asq8SAEHFPeLu/jateRnwKPAv5Ovp/dh4I8RcXhKqdytjSRJkiTVo2fn5vBt7m9hzQvl9RmxbbHxwqmwxfaVrU+S1G26GsT9HdgB+GREXJlSWtNW44gYCryP/Ked27r42rXk2JTSv2YNRsT1wFPAxwCDOEmSJKmvWbMU7rkkB3DP3FVen4b+sNvr8tLTHY6EhsZKVihJqoCuBnHnkK/3NgO4NCJOTCmtbK1hRGwBnEe+NlwCft7F1+52EdGfvBPsGeSZfs8Dl5GXkS7t7HlbhnDF49UR8TDgn64kSZKkviIlePwfedfT+66EDS+W12/8HjD9dJj6Nhg6prI1SpIqqktBXErp7xFxOfBm4DXAkxHxM+B64DEggJ2Bg4EPAMPJIdx5KaU/duW1yxURY4HPA2eRP99JKaUnWmk3CPgzeTfX5cBdwJ7kWWvHRsTBKaXuXE67I/CXbjyfJEmSpN5o+QK469cw+wJ44bHy+gwcAXu9JQdw28yAiMrWKEmqiq7OiAN4OzAaOBwYCXyquG2u+X+Oe4CPdsPrtqkI1j4CfLaoqz3fIodwDwEHpZQWR8QY4GZgV+B7wGndVNtJ5Pfsku44nyRJkqTepV8DcP8f8tLTh/8Cqam8jtsfksO3Pd4IA4ZUtEZJUvV1OYgrlqIeGRHvBf4XGFWi6YvAl4GvpZQ2dPV1y7Ab8DVgIfAh4P9KNYyIHYD3Fg9PaZ75VoRxpwF3ACdExEdSSkuKPv2Aoe3U0LT5stSIGAd8nXyNvEs7/FlJkiRJ6r0WPgizz+PB9zXAb8r8O/6wLWHayTmAG7NjZeuTJPWo7pgRB0BK6WcRcSnwevJS1C2L8y8kB1lXppSe7K7XK8Mc8pLU76aUVkREySAOOJlc6+yU0syWB1JKMyPiXvIy1VOBHxSHDgf+2k4Nj5OvNQdARAwALgcGAyemlMrcj1ySJElSr7V2Jdx7eb7225N5T7rxQ9tZShqNsMsxeeOFnV4Njd32q5kkqRfr1n/ti5lk5xS3HpVSagK+VGbzo4v7q0scv44cxB1NEcSllK5j03LbdhUbQfwWmAYcnVKaX25fSZIkSb1MSvDUHTDrvBzCrWt1z7qXG7NTnvm298kwfEJla5Qk9TodDuIiYgjwOmBq0X8ecO/mM8lqzJTifm6J4/OK+606c/KIaAR+TQ7yXpdSuqUz55EkSZLUw1YuhLsvyhsvLHqgvD79h8Ceb84B3MQD3XhBkvqwDgVxEXEQcBGwXSvH/gSc1dqOpL1ZRAwDtigeLirR7IXivsNBXEQ0AOcBJwD/BiyPiH1aNJmbUlrXwXOuaL9V+bP1JEmSJLWhaSM8fB3MPg8euBaayrzk9bb75fBtr+Nh4PDK1ihJqoTHIqLNy4qllDr0D3yUe5myiDgBuJAc3rUW8iRgGXnH0TL/NFQ9Ld64SS3DwojYClhQPJyWUrq7lb6vAf4IbAQGFMtey33dVwA3ttFkUkfDyw4Ecf/aTGLIkCGEf3lTHVq1ahVDh7a3b4pUmxzfqneOcfV2k0bCGXsFp+4VbDO8vJ+lF61OXHRf4ie3r+aJ1YMrXKHUM/z3W/UqpcTq1atbPrWKnHe11af7g7iIGAk8xqYdUX8P/AV4grw76evImxcA3A/s1ds2ImgjiBtL3lACYJ+U0qxW+h5Lvn5cAhp72+fWmmJ31uebHz///POMGzeuByuSKmPYsGGsXFnmNVmkGuP4Vr1zjKtXWr8G7v9Dvvbb4zeV2Slgp6Py7Lddj4V+AxzfqmuOb9WrhQsXMn78+JZPjU8pLSzVvjPKXZp6OjmES8CHUko/bnHsKuCbEfFZ4H/IwdzbgIu7sc5KWgysAwYAY0q0aV66urIWQjhJkiRJHfTM3TDrfJj7W3hxWXl9Rk3M4du0U2DktpWtT5JUF8oN4l5V3N+0WQj3Lymlr0TEMcAhwEnUSBCXUkoRsQCYBIwt0aw5iHuqKkVJkiRJqrw1L8DcS/Lst2fnlNencSDs/nqYcTpMegU0NFS2RklSXSk3iNubPBvuV+20+yZwKHBYV4rqAc1B3FTyZhSb26u4v79aBUmSJEmqgKamvOR09vl5CeqGF8vrt+UUmH4GTDkBhoyubI2SpLpVbhDX/D/No+20u6+4HxURw1JKtbJo/BbgYOBY4D9aOX5UcX991SqSJEmS1H2WL4C7LoTZF8ALj5fXZ+BImPrWvPx062mVrE6S1EeUG8QNKe6fb7MVzG/x8SigVoK43wCfAqZGxP4ppdubD0TEwcBO5OvIXd5D9UmSJEnqqI3r4YFr8+y3h/8Kqam8fpMOgxln5CWo/d35VJLUfcoN4lYDw4D2/hca0eLjFZ2qqAeklGZGxFXAccCFEXFgSmlxRIwBzi2a/SSltKDnqpQkSZJUloUPwuzz4O6LYVWZm90N3ypvujD9NBi9Q2XrkyT1WeUGcavIQdzeEbGkjXa7FfcbgZERMaKNtqSUnizz9avhTOBW8uy3RyLiPmBPcrh4C/CZHqxNkiRJUlvWroT7rsgbLzx5W3l9GvrBLsfk2W87HgWN5f56JElS55T7P80yYAJwdhltE9AIPFZGu17zP11K6bmI2Bf4EvAmYDrwOPB14BsppXU9V50kSZKkl0kJnr4TZp0L91wG68q8Ms7YXfJ13/Y+CYaNr2yNkiS1UG4Q9iiwayULqbSUUpTRZjHwgeImSZIkqTdatRjmXAyzzoeF95fXp/9Q2PPNefbbdvtDtPvrgSRJ3a7cIO63wHOVLESSJEmSSmraCI/ekMO3eVdD0/ry+m27X579ttfxMHB4ZWuUJKkdZQVxKaVz2bRpgSRJkiRVx9L5MPtCuOtCWFbmJaaHjIGpJ8GM02H87pWtT5KkDug112iTJEmSJAA2rM2z3mafD4/cQL68dHsCdnxlXnq667HQb0Clq5QkqcMM4iRJkiT1Ds/dl8O3uy+GNUvK6zNyIkw/FaadCqO2q2x9kiR1kUGcJEmSpJ7z4nK49zKYdV7eAbUcjQNgt+Py0tPJR0BDQyUrlCSp2xjESZIkSaqulODJ2/LGC/deButXl9dv/B556enUt8GQ0ZWtUZKkCjCIkyRJklQdKxfC3Rfl5aeLHiyvz4DhMOUtMP0M2GYGRFS2RkmSKsggTpIkSVLlNG2ER66HWefCA9dC04by+k08CKafDnu+CQYMrWiJkiRVi0GcJEmSpO73wuMw+0K460JY/nR5fYaOg71PzgHcuF0qWp4kST3BIE6SJElS99iwFuZdlTdeePRv5fWJBtjp1XnjhV2Ogcb+FS1RkqSeZBAnSZIkqWueuzdvvDDnYljzQnl9tpgE00+DaafCiK0rWp4kSb2FQZwkSZKkjntxOdxzad544ek7y+vTOBD2eENeejrpMGhoqGyNkiT1MgZxkiRJksqTEjx5W156eu/lsH51ef0mTIEZZ8CUE2DI6MrWKElSL2YQJ0mSJKltKxfC3Rfl2W+LHiyvz8AROXibcQZsNQ0iKlqiJEm1wCBOkiRJ0ss1bYRHrs+z3x64Bpo2lNdv+0Py0tM93ggDhlS2RkmSaoxBnCRJkqRNXngC7roQZl8Ay58ur8/Q8TDtlBzAjd2psvVJklTDDOIkSZKkvm7DWph3dZ799ujfgNR+n2iAnY/OS093Phoa+1e6SkmSap5BnCRJktRXPX9/Dt/uvhjWLCmvzxaTYPppMO1UGLF1RcuTJKneGMRJkiRJfcnalXDvZTmAe+qO8vo0DoQ93pBnv21/KDQ0VLZGSZLqlEGcJEmSVO9Sgqdmwqxz4d7LYd3K8vpN2CuHb1PeCkNGV7ZGSZL6AIM4SZIkqV6tWgxzfpNnvy28v7w+A4bDlBNyALf1dIiobI2SJPUhBnGSJElSPWlqgsduzOHbvKtg47ry+k08KO96uuebYMDQipYoSVJfZRAnSZIk1YNlT8NdF8Ls82Hp/PL6DBkL006G6WfAuF0qW58kSTKIkyRJkmrWxvXw4B/z7LeH/wqpqYxOATu9Ki893eUY6Deg4mVKkqTMIE6SJEmqNYsehtnnwV0Xwarny+szcru89HTaKTBqu8rWJ0mSWmUQJ0mSJNWCdavh/t/n2W9P3Fxen4b+sPtxefbb5COgoaGSFUqSpHYYxEmSJEm92TN35/Btzu9g7bLy+ozbLYdvU0+CoWMqW58kSSqbQZwkSZLU27y4DOb+Lgdwz9xdXp/+Q2Gv43MAt+1+EFHZGiVJUocZxEmSJEm9QUow/585fLv3Ctiwprx+2+wLM06Hvd4CA4dXtERJktQ1BnGSJElST1q5EO6+KAdwix8qr8/gLfKy0xmnw4Q9K1ufJEnqNgZxkiRJUrU1bYRHboBZ58ID10DThvL6TT48Lz3d7TjoP6iyNUqSpG5nECdJkiRVy9L5MPtCmH0BLH+qvD7Dt4Jpp8L002D05MrWJ0mSKsogTpIkSaqkDevgwWvz0tOHrwNS+32iEXZ5Dcx4O+z0Kmj0x3ZJkuqB/6NLkiRJlbDoobz09K6LYPWi8vpsMTlf923vU2DEVpWtT5IkVZ1BnCRJktRd1q2G+67Ms9/m31Jen8aBsMcb8rXftj8UGhoqW6MkSeoxBnGSJElSVz1zdw7f5vwO1i4rr8/4PWGft8OUt8KQ0ZWtT5Ik9QoGcZIkSVJnvLgc5v4uB3DP3FVenwHDYK+35Gu/bTMDIipaoiRJ6l0M4iRJkqRypQRP3p6v/Xbv5bB+dXn9tt0vLz3d83gYOKyyNUqSpF7LIE6SJElqz6rFMOfiPPtt4bzy+gzeAqaelAO4CXtUtj5JklQTDOIkSZKk1jQ1wWM35tlv918FTevL6zf5FXnp6W7HQf9Bla1RkiTVFIM4SZIkqaXlC+CuC2HW+bD0ifL6DNsSpp8K00+D0TtUtj5JklSzDOIkSZKkjRvgoT/n2W8P/RlSU/t9ogF2PjrPftv5aGj0R2tJktQ2f1qQJElS37XkMZh9Psy+EFY+W16fURNh+hl5BtyIrStbnyRJqisGcZIkSepbNqyFeVfBnefma8CVo6E/7H5cnv02+XBoaKhsjZIkqS4ZxEmSJKlveH5e3vX07otgzZLy+ozdJYdve58EQ8dWtj5JklT3DOIkSZJUv9atgnuvyNd+e/K28vr0Gwx7HQ8zzoDtDoCIipYoSZL6DoM4SZIk1Z8Fd+Xwbe4lsHZ5eX222juHb1PeCoNGVrQ8SZLUNxnESZIkqT68uCwHb7POhWfuLq/PwBE5eJtxBmw9raLlSZIkGcRJkiSpdqUET96ew7d7L4f1q8vrt92BOXzb800wYGhFS5QkSWpmECdJkqTas3oJ3H1xDuAWziuvz+DRsPfJOYAbv1tl65MkSWqFQZwkSZJqQ0rw+E1w57lw/+9h47ry+k0+HPZ5O+x2HPQbWNkaJUmS2mAQJ0mSpN5t5fNw14Uw6zxY8mh5fYZNgGmnwozTYfQOla1PkiSpTAZxkiRJ6n2aNsIjN8Csc+CBa6FpQ/t9ogF2enWe/bbz0dDYv+JlSpIkdYRBnCRJknqPZU/D7Atg9vmw7Mny+ozcDqafDtNPg5HbVLY+SZKkLjCIkyRJUs/auAEe+jPceQ48/BdITe33aegHux6bZ7/tcCQ0NFa8TEmSpK4yiJMkSVKP2H4kcN2X8vXfVjxTXqfRO+ZdT6edAsPGV7Q+SZKk7mYQJ0mSpOrZsA4euAbuPIe5ZzbATd9sv0/jQNjjDTDj7TDpUIiofJ2SJEkVYBAnSZKkylv0MMw6F+76NaxeBEBDe4HauN3z0tOpb4Mho6tQpCRJUmUZxEmSJKky1r8I9/8hB3CP31Ren/5DYM/jcwC37X7OfpMkSXXFIE6SJEnd6/l5OXy7+yJY80J5fbbaOy89nXICDBpZ2fokSZJ6iEGcJEmSum7darjvCrjzXHjy1rK6LF+bGHHwu/Lst62nV7Y+SZKkXsAgTpIkSZ337Nwcvs35LaxdVl6fbfeDGW9n56PO4rmvfrei5UmSJPUmBnGSJEnqmLUr4Z5L8/LTp+8sr8+gkTD1pDz7bcKeAKxaf1YFi5QkSep9DOIkSZJUngWz8+y3ub+DdSvL6zPxYNjnHbDHG6D/4IqWJ0mS1NsZxEmSJKm0F5fn4G3WufDM3eX1GTwapp2SN18Yt0tl65MkSaohBnGSJEl6qZTyktM7z8lLUNevLq/f5Ffk2W+7HQf9BlayQkmSpJpkECdJkqRszdI8++3Oc+C5e8rrM3QcTDsVZpwBY3asZHWSJEk1zyBOkiSpL0sJnrw9h2/3Xg4b1pTRKWDHI/Pst11eC/0GVLhISZKk+mAQJ0mS1BetXgJzfpsDuIX3l9dn2JYwvZj9tsWkSlYnSZJUlwziJEmS+oqUYP4/i9lvV8DGtWV0Ctj51Xn2286vgUZ/fJQkSeosf5KSJEmqd6uXwN0X5QBu0YPl9RmxDUw/HaafBqO2q2h5kiRJfYVBnCRJUj1KCZ64JYdv911Z3uy3aIBdjoEZb4edXuXsN0mSpG7mT1eSJEn1ZNXiTbPfFj9UXp+R2+Xrvk0/DUZsXdHyJEmS+jKDOEmSpFqXEjz+jxy+3f972Liu/T7RCLu+FvZ5Z94BtaGx4mVKkiT1dQZxkiRJtWrVYrj718Xst4fL6zNqYl56Ov00GL5lRcuTJEnSSxnEVVlEDAHuASYDk1JKT/RwSZIkqZakBI/fVMx++0N5s98a+m2a/bbDkdDQUPEyJUmS9HIGcdX3X8A2PV2EJEmqMasWwV3F7Lclj5TXZ4tJefbbtFNh+IRKVidJkqQyGMRVUUTsDXwc+AXw/h4uR5Ik9XbNs99mnp1nvzWtb79PQz/Y7XWwzztg8hHOfpMkSepFDOJaiIj+wCeBM8hLR58HLgO+mFJa2sVzNwA/A64FbsUgTpIklbJqEdx1Idx5bsdmv+3zjjz7bdj4SlYnSZKkTqr7IC4ixgKfB84if76tXpctIgYBfwYOA5YDdwF7Ah8Djo2Ig1NKi7tQygeBPYC3Akd24TySJKkedXr223HF7LfDnf0mSZLUy9VtEFcEax8BPguMLKPLt8gh3EPAQSmlxRExBrgZ2BX4HnBaJ2vZFvgy8JmU0vyI6MxpJElSPVq1uJj9dk4HZr9Nhn3e7uw3SZKkGlO3QRywG/A1YCHwIeD/SjWMiB2A9xYPT2me+VaEcacBdwAnRMRHUkpLij79gKHt1NCUUloB/IA8w+7Hnf90JElS3UgJnri5mP32+zJ3Pu0Puxez3ya9wtlvkiRJNaieg7g55CWp300prYiIkkEccDL5vZidUprZ8kBKaWZE3EtepnoqOVQDOBz4azs1PB4RnwBeC0wHGorZcI3F8X4R0ZBSaurA5yVJkmrV6iWbdj5d/FB5fbaY3OLab+MqWZ0kSZIqrG6DuCLc+lKZzY8u7q8ucfw6chB3NEUQl1K6Dmh3jWlEXAcMBO5r5fDDwDnAO8usU5Ik1ZqUYP4/8+y3+66EjWvb79N87bd93+nsN0mSpDpSt0FcB00p7ueWOD6vuN+qE+c+Cxi+2XOvB74AvKGN15QkSbVs9RK4++I8+23RA+X1cedTSZKkutbng7iIGAZsUTxcVKLZC8V9h4O4lNKDrbzmXsWHc1rbwbU9EbGinGYdPa8kSeqilODJ24rZb1fAhhfb79PQD3Z7HezzTnc+lSRJ6l0ei4jUVoOU0uaTr9rU54M4XjpbbXGJNs1B3IRavabbpEmTcLdW1aNVq1YxbNiwni5DqgjHd+0YORBO3iN4197BHmPL+//2saWJc+Ykzr9nLc+vvgy4rLJF9kKOcdUzx7fqmeNb9SqlNjO3bhHVeJHeoEWCOanlLLSIGEveWRVgn5TSrFb6Hku+flwCGlMNvGkRMQ54vvnx888/z7hxXuBZ9WfYsGGsXLmyp8uQKsLx3culBE/fCTN/BfdcBhvWtN8nGmG3Y/Pstx2O7POz3xzjqmeOb9Uzx7fq1cKFCxk//iWXBxmfUlpYqn1nOCMuz4JbBwwAxpRo07x0dWUthHCSJKmCXlwOc38LM8+B58q81OvIibDPGTD9dBi+ZUXLkyRJUu/V54O4lFKKiAXAJGBsiWbNQdxTVSlKkiT1Pgtm52u/zb0E1q9qv300wi7H5J1Pd3wlNDRWvkZJkiT1an0+iCs0B3FTgYtaOd68ucL91SpIkiT1AmtXwj2X5uWnz9xVXp8R28KMM2DG6TBi64qWJ0mSpNpiEJfdAhwMHAv8RyvHjyrur69aRZIkqec8OzfPfpvzW1hXxmbl0QA7H52v/bbzq539JkmSpFYZxGW/AT4FTI2I/VNKtzcfiIiDgZ3I15G7vIfqkyRJlbZuNdx7Odx5Njx1R3l9hm+VZ79NPx1GbVfZ+iRJklTzDOKAlNLMiLgKOA64MCIOTCktjogxwLlFs5+klBb0XJWSJKkinp+Xw7e7L4IXl5XRIWCno/Lst12OgUZ/nJIkSVJ5/MlxkzOBW8mz3x6JiPuAPYER5KWrn+nB2iRJUnfasBbu/0O+9tsTN5fXZ+j4fN23GWfAFpMqWp4kSZLqk0FcIaX0XETsC3wJeBMwHXgc+DrwjZTSup6rTpIkdYvFj8Cd58BdF8LqxeX1mXw47Psu2PVY6DegouVJkiSpvvWZIC6lFGW0WQx8oLhJkqR6sHE9PHBtnv326A3l9Rk8GqafmpefjtmxsvVJkiSpz+gzQZwkSepjlj4Js87Lt5XPltdn4sF59tvur4f+gypbnyRJkvocgzhJklQ/mjbCw9fl2W8P/QlSU/t9Bo2EvU/Os9/G71b5GiVJktRnGcRJkqTat+I5mH0e3HkuLHuyvD7b7Jtnv+35ZhgwpLL1SZIkSRjESZKkWpUSPHZjnv0272po2tB+nwHDYOqJefbbVlMrX6MkSZLUgkGcJEmqLauXwF2/zgHckkfK67PllDz7bcpbYeDwytYnSZIklWAQJ0mSer+U4Kk7cvh2z2WwcW37ffoNhr3ekgO4bWZAtLuBuiRJklRRBnGSJKn3WrsC5vwWZp4Nz80tr8/YXXP4tvfbYPAWla1PkiRJ6gCDOEmS1Ps8ew/M/GUO4datbL99Q3/Y4405gNv+YGe/SZIkqVcyiJMkSb3D+hfhvivgjl/CU7eX12eLSbDPO2DaaTBsXAWLkyRJkrrOIE6SJPWsxY/AnWfD7AthzZL220cD7PJa2O9dsMMroaGh8jVKkiRJ3cAgTpIkVd/GDfDgtXn226M3lNdn2Jawz9thxtth5DaVrU+SJEmqAIM4SZJUPcsXwJ3nwqxzYcUz5fXZ4ch87bddXwuN/StbnyRJklRBBnGSJKmymprgsRvz5gvzroG0sf0+g7eAaafmAG7MjpWvUZIkSaoCgzhJklQZq5fAXb+Gmb+CJY+U12fb/WG/d8Meb4L+gypaniRJklRtBnGSJKn7pARPz8qz3+65FDa82H6fAcNg6ol59tuWUypfoyRJktRDDOIkSVLXrVsN91ySN1945q7y+ozfM+98OvVtMHB4RcuTJEmSegODOEmS1HmLHsrh212/hrXL2m/fOCAvO93v3bDdARBR8RIlSZKk3sIgTpIkdczG9fDANXDHL+Cxv5fXZ9T2eenp9NNg6NjK1idJkiT1UgZxkiSpPMsXwJ3nwp3nwMpn228fDbDza/Lstx2PgoaGipcoSZIk9WYGcZIkqbSU8qy3O34B866GtLH9PkPHwYwzYJ93wKiJFS9RkiRJqhUGcZIk6eXWLIW7L8rXf1v8UHl9tj8kLz/d/Q3Qb0BFy5MkSZJqkUGcJEna5Jm78+y3uZfA+tXttx8wHPY+KQdwE/aofH2SJElSDTOIkySpr1v/Itx3RQ7gnrqjvD4T9srXfpvyVhg4vKLlSZIkSfXCIE6SpL7qhcdh5tkw+3xYvbj99o0DYI83wn7vge32h4iKlyhJkiTVE4M4SZL6kqYmeOS6PPvtwT8Bqf0+IyfCvu+E6afDsHEVL1GSJEmqVwZxkiT1BauXwOwLYOYv80y4dgXs9CrY70zY+dXQ0FjpCiVJkqS6ZxAnSVI9e3pWnv12z6Ww4cX22w/eIs982/edMHqHytcnSZIk9SEGcZIk1Zv1L8K9l8MdP4en7yyvzzb75Nlve74Z+g+ubH2SJElSH2UQJ0lSvXjhCZj5q/I3X+g3CPY6Ie9+us2MytcnSZIk9XEGcZIk1bKmJnj0erj9F/DgHylr84UtJufwbdqpMGR0xUuUJEmSlBnESZJUi9a8AHf9Ol//bcmjZXQI2OWYvPx0x1dCQ0PFS5QkSZL0UgZxkiTVkmfnwu0/h7m/g/Wr228/eDTMOAP2fRdssX3l65MkSZJUkkGcJEm93YZ1cP/vcwD35K3l9dlm3xabLwyqbH2SJEmSymIQJ0lSL7XVMOCGr8Cd58DK59rv0Lz5wv5nwtbTK12eJEmSpA4yiJMkqTdJCZ64GW7/Gfe/twFu/Fr7fbaYBPu+G6af5uYLkiRJUi9mECdJUm+wbhXM+W1efvr8vQD0a4g2OgTs9CrY/7353s0XJEmSpF7PIE6SpJ60+BG445cw+wJYu6z99oNGwvTTYb93w+gdKl+fJEmSpG5jECdJUrU1NcHDf4XbfwYP/6W8PltOybPf9joBBgypbH2SJEmSKsIgTpKkalmzNM98u+MX8MJj7TZfvzHRf+8TcgC33QEQbS1VlSRJktTbGcRJklRpz92br/025zewfnX77YdtCfu+i93e9iUeee5Xla9PkiRJUlUYxEmSVAkbN8ADV+cA7vGbyusz8WDY/z2w++uhsT/PrfpSZWuUJEmSVFUGcZIkdadVi+DOc2Dmr2D50+237zcYpp6YA7gtp1S8PEmSJEk9xyBOkqTu8PSsvPnCPZfCxnXtt99iEuz3Hph+KgzeouLlSZIkSep5BnGSJHXWhnVw/+/htp/CU7eX12fHo+CA98FOr4KGxsrWJ0mSJKlXMYiTJKmjVjwHd56dl5+ufK799gOG55lv+70Hxu5U+fokSZIk9UoGcZIkleupmXDbT+DeK6Bpffvtx+6ar/2290kwcHjFy5MkSZLUuxnESZLUlg1rc/B2209gwaz220cD7PJaOOC9MPlwiKh4iZIkSZJqg0GcJEmtWfFsXno682xY9Xz77QeNghlnwH5nwhbbV7w8SZIkSbXHIE6SpJb+tfz0cmja0H77CXvB/u+FKW+FAUMqX58kSZKkmmUQJ0lSh5efNsJur8u7n25/iMtPJUmSJJXFIE6S1HeteK5Yfvqr8pafDh4N+7w9Lz8duW3l65MkSZJUVwziJEl9z9N3wm0/hXsuK2/30wlT4MD3w15vgf6DK1+fJEmSpLpkECdJ6hs2rof7rswB3FO3t98+GmH34+CA98PEg1x+KkmSJKnLDOIkSfVt1SK482y445ew4pn22w8eDfu8A/Z7t8tPJUmSJHUrgzhJUn16di7c+hOY+zvYuLb99hOm5M0Xppzg8lNJkiRJFWEQJ0mqH00b4YFr4dYfwxP/aL99NMBuxfLT7Q92+akkSZKkijKIkyTVvheXwazz4fafwdIn2m8/aNSm3U9HTax4eZIkSZIEBnGSpFq26GG4/acw+0JYv6r99uN2z8tPp54IA4ZWvj5JkiRJasEgTpJUW1KCR2/I13976E9ldAjY5ZgcwO1whMtPJUmSJPUYgzhJUm1Yvwbm/CYHcAvvb7/9gOEw/TTY/z0wZsfK1ydJkiRJ7TCIkyT1bssXwB2/gJlnw5ol7bffYnLefGHaKTBoROXrkyRJkqQyGcRJknqnp+6EW38E910BTRvabz/5cDjwLNj5aGhorHh5kiRJktRRBnGSpN5j4waY9wf454/gqdvbb99vUN544YCzYMIela9PkiRJkrrAIE6S1PPWLIVZ58HtP4NlT7bffvhWsN+ZsM87YeiYipcnSZIkSd3BIE6S1HMWPwK3/RRmXwDrV7XffusZcOAHYI83Qr8Bla9PkiRJkrqRQZwkqbpSgsf/ka//9sC1QGq7fTTCHm/IAdy2+0FEVcqUJEmSpO5mECdJqo4N6+Dey+CfP4Rn57TffuBI2OftsP97YdR2la9PkiRJkirMIE6SVFmrl8DMX8Ltv4CVz7bffvSOeffTvU+GgcMqX58kSZIkVYlBnCSpMhY+mJef3n0xbFjTfvvJr8jLT3d+DTQ0VL4+SZIkSaoygzhJUvdJCR67MS8/fejP7bdvHABT3ppnwG05pfL1SZIkSVIPMoiTJHXdhrVwz6U5gHvunvbbDxkL+70b9n03DJ9Q+fokSZIkqRcwiJMkdd7qJTDzV3D7z8u7/tu43eCgD8KUE6H/oMrXJ0mSJEm9iEGcJKnjFj+Sr/92169h/er22+94VA7gdnwlRFS+PkmSJEnqhQziJEnlSQnm/xNu+T944Bogtd2+cSDs/ba8AcP43atSoiRJkiT1ZgZxkqS2bdwA912Rr/+2YFb77YeOg/3OzNd/Gzau4uVJkiRJUq0wiKuiiBgEvA84FjgQOCul9OuerUqSSli7AmadB7f+BJbNb7+913+TJEmSpDYZxFVJREwBLgZGARcB3wNu78maJKlVy56G234Cd54Da5e3336HI+CgD8NOR3n9N0mSJElqg0FcFUTEYOAy4BHgkJTS0p6tSJJa8czd+fpv914GTRvabtvQH6a8Nc+A23Kv6tQnSZIkSTXOIK6FiOgPfBI4A5gMPE8O0L7YxfDsC8BQ4G0ppWVdrVOSuk1K8PBf4Zbvw2N/b7/9oFGw37th//fC8C0rXp4kSZIk1ZO6D+IiYizweeAs8uc7KaX0RCvtBgF/Bg4DlgN3AXsCHwOOjYiDU0qLO/H6A4APAT8EvhgRrwNGAn8CPp5SWtSJT0uSumbDWph7CdzyA1h4f/vtt5icZ79NOwUGDK18fZIkSZJUh+o2iCuCtY8AnyUHX+35FjmEewg4KKW0OCLGADcDu5Kv6XZaJ0rZlzwb7t3A+eTNGvYCvgzsFhEHpJSaOnFeSeq4NUvhzrPzBgwrn22//XYHwEEfgt1eBw2NFS9PkiRJkupZ3QZxwG7A14CF5Blp/1eqYUTsALy3eHhK88y3Iow7DbgDOCEiPpJSWlL06UcO2NrSBGxdfHx2SunTxcfXR0QT8APgKOAvHf3kJKlDls7P4dusc2HdyrbbRgPsdhwc/GHYbv/q1CdJkiRJfUA9B3FzyEtSv5tSWhERJYM44GTyezE7pTSz5YGU0syIuJe8TPVUcngGcDjw13ZqeJy8tBXgms2ONffdC4M4SZXyzN15+ek9l0Ha2Hbb/kNg+ulw4FkwenJ16pMkSZKkPqRug7hiueeXymx+dHF/dYnj15GDuKMpgriU0nVAtHfiiNiz+HDbzQ41v/du3iCpe6UEj1yfN2B49G/ttx86Hg54H+z7LhgyuuLlSZIkSVJfVbdBXAdNKe7nljg+r7jfqhPnnke+7tzp5GvENXsteenqzZ04pyS93Mb1cO/lcPP34blS/5y1MHaXfP23qW+D/oMqX58kSZIk9XF9PoiLiGHAFsXDUjuYvlDcdziISyltjIh/Ay6JiHOBC4DdgS8CP00pPdDRc0bEinKadfS8kmrU2pUw6zy49Uew7Mn2229/SL7+286vgYaGytcnSZIkSbXpsYhIbTVIKQ3vyAn7fBAHtHzDFpdo0xzETYiIho7ucppSuiIijgE+B1wCzCcHcV/vaLGdNWnSJCLM5lR/Vq1axbBhw3q6jB4xfgicNSM4c1qwxaC2v783NiV+/xB8744mZj77d+Dv1SlSXdKXx7f6Bse46pnjW/XM8a16lVKbmVu3MIiD9S0+bizRpvn5BqBTX5WU0l9pf3OHcs/VbtoaEeOA55sfP/7444wbN647Xl7qVYYNG8bKle3sAlpvFj+Sr/9210WwcW3bbfsNhumn0njQB3nz6B14c3UqVDfpk+NbfYpjXPXM8a165vhWvVq4cCHjx49v+dTklNLC7nwNg7g8C24dMAAYU6JN89LVlaka8agktebpO+Ef34X7/0C7fxMYPDpvwLDfe2BoqX/aJEmSJEnV1OeDuJRSiogFwCRgbIlmzUHcU1UpSpKapQQPXwc3fxcev6n99ltMyhswTDsVBgypdHWSJEmSpA7o80FcoTmImwpc1MrxvYr7+6tVkKQ+buMGuPcyuPl78Nw97bffegYc8hHY/Q3QUGqVvSRJkiSpJxnEZbcABwPHAv/RyvGjivvrq1aRpL5p3WqYfQHc8gNYNr/99ju9Gg75KEw6FNyQRZIkSZJ6NYO47DfAp4CpEbF/Sun25gMRcTCwE/k6cpf3UH2S6t3qJXDHL+C2n8DqUhs4F6IR9npLDuC23KvttpIkSZKkXsMgDkgpzYyIq4DjgAsj4sCU0uKIGAOcWzT7SUppQc9VKakuLXsabv0RzDwb1q9qu23/ITDjDDjogzBqYnXqkyRJkiR1G4O4Tc4EbiXPfnskIu4D9gRGkJeufqYHa5NUbxY+CLd8D+7+DTStb7vt4NFwwPth//fAkNHVqU+SJEmS1O0M4goppeciYl/gS8CbgOnA48DXgW+klNb1XHWS6sbTd8JN34Z5VwOp7bYjJ8LBH4bpp7kDqiRJkiTVgT4TxKWU2r2KeUppMfCB4iZJ3SMleOzGHMA9dmP77cfvAYd+HPZ8MzT2r3x9kiRJkqSq6DNBnCRVXVMTPHAN3PQtWDCr/fYTD84B3M6vdgdUSZIkSapDBnGS1N02roe5l8DN34WF89pvv8tr4dCPwcQDK12ZJEmSJKkHGcRJUndZvwZmXwA3fx+WzW+7bTTC1BPh4I/AhD2qU58kSZIkqUcZxElSV724HO74Bdz6I1i1sO22/QbBjDPyJgyjJlanPkmSJElSr2AQJ0mdtWox3PZjuO1nsHZZ220HjoD9zoQDz4Jh46tTnyRJkiSpVzGIk6SOWvY0/PP/4M5zYP3qttsOHZfDt/3OhEEjq1KeJEmSJKl3MoiTpHItfiRvwHDXRdC0vu22IyfCIR+B6adB/8FVKU+SJEmS1LsZxElSe567D276Ftx7GaSmttuO3QUO/ThMeSs09q9OfZIkSZKkmmAQJ0mlLJgNf/8mzLuq/bZbTYPDPgm7HQcNDRUvTZIkSZJUewziJGlz82+Fv38DHv5r+223PxQO+wTs+EqIqHxtkiRJkqSaZRAnSQApwWN/zwHc4ze1337no/MMuIkHVr42SZIkSVJdMIiT1LelBA/9JQdwT93eTuOAPd6YA7itplalPEmSJElS/TCIk9Q3NTXBA1fnAO6Zu9tuG40w9UQ49BMwbpfq1CdJkiRJqjsGcZL6lqaNcN+VeROG5+9tu21Df5h+GhzyURg9uTr1SZIkSZLqlkGcpL5h4wa497I8A27Rg2237TcI9nknHPxhGLlNdeqTJEmSJNU9gzhJ9W3jepjzW7jpm7Dk0bbbDhgG+50JB30Qho2vTn2SJEmSpD7DIE5SfdqwDu7+Ndz0LVg6v+22A0fCAe+DA8+CIaOrU58kSZIkqc8xiJNUXzasg7sugJu+DcuebLvt4C3gwA/C/u+BwaOqUp4kSZIkqe8yiJNUHzashdnnw03fgeVPtd12yFg4+EN5GerA4dWpT5IkSZLU5xnESappAxuB238O//gOLH+67cbDJuQdUPd5BwwYWo3yJEmSJEn6F4M4SbVp/Ysw6zzmnNkA13yq7bbDt4ZDPwYzzoD+g6tSniRJkiRJmzOIk1RbigCOf3wbVjzDNsOjdNsR28ChH88BXL+B1atRkiRJkqRWGMRJqg0b1uYA7qZvw4oFbbcdsS0c9gmYfpoBnCRJkiSp1zCIk9S7bVhXbMLw7fY3YRg5MQdw006FfgOqU58kSZIkSWUyiJPUO21YB3ddCDd9C5Y92XbbURPhsE/B3icbwEmSJEmSei2DOEm9y8b1cNev4e/fhGXz2247aiIfuPhxfnTzLGjsX536JEmSJEnqpIaeLkCSANi4IQdw/7cv/OEjbYdwI7eD138PPnQn592TDOEkSZIkSTXBGXGSelbTRrjnMrjxf2Hxw223HbEtvOKTMO00l6BKkiRJkmqOQZykntHUBPf/Hv72VVg4r+22I7aBwz7pLqiSJEmSpJpmECepulKCB66BG74Kz81tu+3wrXIAN+MMAzhJkiRJUs0ziJNUHSnBI9fB9f8DC2a33Xbo+BzA7fMO6D+oKuVJkiRJklRpBnGSKu+JW+C6L8H8W9puN2QMHPIx2O9MGDCkKqVJkiRJklQtBnGSKufpWXkG3CPXtd1u0Cg4+MNwwPtg4PCqlCZJkiRJUrUZxEnqfs/dBzd8GeZd1Xa7gSPgoA/CgWfBoJHVqU2SJEmSpB5iECep+yx+JO+COvcSIJVu139onv128IdhyOiqlSdJkiRJUk8yiJPUdcsXwI1fg1nnQ9pYul3jQNjv3XDoJ2DYuOrVJ0mSJElSL2AQJ6nzVi+Bf3wbbv85bHixdLuGfjD9NHjFp2HkttWrT5IkSZKkXsQgTlLHrV0Jt/4Ybvk+rF3eRsOAqSfCEf8Oo3eoWnmSJEmSJPVGBnGSyrdhLcw8G276Jqxa2Hbb3V8PR/4/GL97dWqTJEmSJKmXM4iT1L6mjTDnN3DDV2HZ/Lbb7vhKeOXnYJsZ1alNkiRJkqQaYRAnqbSU4IFr4br/hoX3t9122/3gqC/A5MOqU5skSZIkSTXGIE5S6+bfCn/5Ajx5a9vtxu+RZ8Dt+lqIqE5tkiRJkiTVIIM4SS/1/Dy47ovwwDVttxu1fb4G3JQToKGxOrVJkiRJklTDDOIkZcuehr99Be76NaSm0u2GjofD/w1mvB36DahefZIkSZIk1TiDOKmvW/MC/OM7cNtPYcOLpdsNHAGHfBQOPAsGDK1efZIkSZIk1QmDOKmvWv8i3PFz+Ps34cWlpds1DoD93wuHfRKGjK5aeZIkSZIk1RuDOKmvaWqCub+D678Ey55so2HA3ifBkZ+FUROrVp4kSZIkSfXKIE7qSx65Af7yeXh2Ttvtdj4ajvoCbLlXdeqSJEmSJKkPMIiT+oJn58JfvgCPXNd2u232gVd9ESYfVp26JEmSJEnqQwzipHq29Em44ctw98VAKt1u9A55Btweb4SIqpUnSZIkSVJfYhAn1aO1K/JOqP/8Yds7oQ4ZC0f8O+zzDmjsX7XyJEmSJEnqiwzipHrStBFmnw/XfxlWPV+6Xf8hcNAH4eCPwKAR1atPkiRJkqQ+zCBOqheP3AB/+n/w/L2l20QDTD8djvgPGLFV9WqTJEmSJEkGcVLNW/gA/Plz8NCf2m63y2vhVf8F43erSlmSJEmSJOmlDOKkWrVqMdz4v3DHLyFtLN1uy6nwmq+4E6okSZIkST3MIE6qNRvWwe0/gxu/DmuXlW43fCs46vMw9SRoaKhefZIkSZIkqVUGcVKtSAnmXQ1/+RwsebR0u/5D4JCPwsEfhgFDq1efJEmSJElqk0GcVAuemQN/+iw8flMbjQKmnQKv/E8YsXXVSpMkSZIkSeUxiJN6sxXPwfVfgtkXAKl0u+0Phdd8GbaeVq3KJEmSJElSBxnESb3R+hfh1h/CTd+GdStLt9tiMhz9P7Db6yCievVJkiRJkqQOM4iTepOU4L4r4c+fg2XzS7cbOBIO/zTs/17oN7B69UmSJEmSpE4ziJN6i+fnwbWfhsf+XrpNNMA+74QjPwtDx1avNkmSJEmS1GUGcVJPe3EZ/O1rcPtPoWlD6XY7vhKO/jJM2KN6tUmSJEmSpG5jECf1lKYmmHMx/OULsOr50u3G7Ayv+Qrs/GqvAydJkiRJUg0ziJN6woLZcM2n4ak7SrcZNBKO+Czs925o7F+92iRJkiRJUkUYxEnVtGoxXP/fcOe5QCrRKGDG6XDUF7wOnCRJkiRJdcQgTqqGpo0w81dw/f/Ai0tLt9tmXzj267DNPlUrTZIkSZIkVYdBnFRp82+Faz4Fz84t3WboOHjVf8Hep0BDQ9VKkyRJkiRJ1WMQJ1XKimfzRgxzLi7dJhrhgPfB4Z+BwaOqVpokSZIkSao+gzipu21cD7f9FP72v7BuRel2kw6D134dJuxRvdokSZIkSVKPMYiTutMjN8C1n4FFD5RuM2IbOPp/YM83Q0T1apMkSZIkST3KIE7qDssXwB//He67snSbxgFw0IfgsE/CwGHVq02SJEmSJPUKBnFSVzRthDt+Cdf9d9vLUHd6Nbz2azBmx+rVJkmSJEmSehWDOKmznpkDf/goLJhVus0Wk+CY/4VdjnEZqiRJkiRJfZxBnNRR61bBDV+BW38MaWPrbfoNzktQD/4w9B9U3fokSZIkSVKvZBBXBRERwHuBDwA7AU8BFwFfTSmt7cna1EEP/gmu/iQse7J0m92Og2O+CqMmVq8uSZIkSZLU6xnEVcenga8AnwduBg4AvgyMAj7WY1WpfMufgT9+pu3NGEZsA8d+A3Z7XfXqkiRJkiRJNcMgrjrOAi5IKX2leHxjRBwGnIpBXO/WtBFm/ipvxrB2eettogEOeD8c+VkYOLy69UmSJEmSpJphENdCRPQHPgmcAUwGngcuA76YUlraxdNv2Ozx08CCLp5TlfTsXPjDx+DpmaXbbLU3vP57sPX0qpUlSZIkSZJqU0NPF1BpETE2Ir4fEesjIkXE9iXaDQKuA74KbAPcBWxBnrF2W0SM6UIZ5wFnRMTHI2JoRLyVHPb9pAvnVKWsWwV//hz89PDSIdyAYXk31DOvN4STJEmSJEllqdsZcUWw9hHgs8DIMrp8CzgMeAg4KKW0uAjfbgZ2Bb4HnNbJcr4IDAG+Tb423GDgMymlH3fyfKqUh/4CV38Cls4v3WbX18GxX4eR21avLkmSJEmSVPPqeUbcbsDXgHXAh9pqGBE7kHc1BTglpbQYoLhvDt9OiIjRLfr0i4iR7dyaLxh2IHAS8Cfg/cBNwGcj4m3d9Lmqq1Y8C797B1x4QukQbvjW8LYL4ORfG8JJkiRJkqQOq+cgbg55l9IdU0o/bKftyeTZgbNTSi9Zi1g8vhcYSN5codnhwNJ2bnMiYiw5gLsipXRMSum8ou81wPmllsqqSpqa4I5fwv/tD/de3nqbaIADzoIP3Q67v7669UmSJEmSpLpRt0tTU0pNwJfKbH50cX91iePXAXsW7X5QnP86INo7cUS8GRgGXNGithQR55IDwH2BJ8qsU91pyaNwxQdh/i2l22w5NW/GsM2M6tUlSZIkSZLqUt0GcR00pbifW+L4vOJ+q06ce1FxP50c6DXbsbh/qBPnVFc0NcHMX8JfPg/rV7fepv9QeOX/g/3fB41+m0iSJEmSpK7r8wlDRAwj744Km0Kzzb1Q3HcmiPtncftiRDQAtwJ7k2frXUnp8K+kiFhRTrOOnrdPWDofrvwQPHZj6Ta7vBaO/QaM2q56dUmSJEmSpN7msYhIbTVIKQ1v6/jmIqU2z1c3Wrxxk1JKT7R4fitgQfFwWkrp7lb6vgb4I7ARGFAse+3Ia48C/hN4A7AteSnqhcC3UkprOvipdCSIG9r8YMiQIUT07Wzu7VOCrx4RjBjY+vuwYEXiU9c38XvnKNaUVatWMXTo0PYbSjXI8a165xhXPXN8q545vlWvUkqsXv2SlXOrAIO4zmgjiBsLLCwe7pNSmtVK32PJ149LQGOqgTctIsYBzzc/fv755xk3blwPVtSDli+A338EHv5L6TbTToXXfAUGj6paWeoew4YNY+XKlT1dhlQRjm/VO8e46pnjW/XM8a16tXDhQsaPH9/yqfEppYWl2ndGn1+aCiwG1gEDgDEl2jQvXV1ZCyGcCinB3RfDtZ+BtctabzNsArz++7DrMdWtTZIkSZIk9Tl9PogrdjBdAEwCxpZo1hzEPVWVotR1K56Dqz4GD1xTus2Ut8Jrvw5DRletLEmSJEmS1Hf1+SCu0BzETQUuauX4XsX9/dUqSJ2UEsy9BK79NKx5ofU2Q8bCcd+BPd5Q3dokSZIkSVKf1tDTBfQStxT3x5Y4flRxf30ValFnrXwefnMaXHZm6RBu9zfAB28zhJMkSZIkSVVnEJf9prifGhH7tzwQEQcDO5GvI3d5tQtTGVKCey6FHx4A865qvc3gLeAtv4QTz4OhpVYgS5IkSZIkVY5LU4GU0syIuAo4DrgwIg5MKS2OiDHAuUWzn6SUFvRclWrVyoVw9Sfg/t+XbrPrsXkp6vAtq1eXJEmSJEnSZgziNjkTuJU8++2RiLgP2BMYQV66+pkerE2tufdyuPqTsHpx68cHjcqbMUw9ESKqWpokSZIkSdLmDOIKKaXnImJf4EvAm4DpwOPA14FvpJTW9Vx1eonVS/IsuHvbWCm8yzFw3HdhxFZVK0uSJEmSJKktfSaISym1OyUqpbQY+EBxU2/08F/hig/CymdbPz5oJBzzNdj7JGfBSZIkSZKkXqXPBHGqcetWw18+D3f8vHSbnY+G138PRmxdvbokSZIkSZLKZBCn3u+pO+Hy98Lih1s/PnAkHPNVmHaKs+AkSZIkSVKvZRCn3mvjBrjpW3Dj1yBtbL3NDkfCG38II7epbm2SJEmSJEkdZBCn3mnRw3kW3NN3tn683yB49X/Dfu+Bhobq1iZJkiRJktQJBnHqXVKCmb+EP/0nbFjTeputpsHxP4dxu1S1NEmSJEmSpK4wiFPvsfJ5uPKD8NCfWz8eDXDYp+Dwf4PG/tWtTZIkSZIkqYsM4tQ7PHAtXPkhWL2o9eNbTIbjfwbb7V/duiRJkiRJkrqJQZx61rpV8Kf/B3eeXbrNPu+Ao78MA4dVrSxJkiRJkqTuZhCnnrNgNlx6Jix+uPXjQ8fBG/4Pdj2munVJkiRJkiRVgEGcqq9pI9z8XbjhK9C0ofU2u7wW3vADGDauqqVJkiRJkiRVikGcquuFJ+Dy98P8W1o/3m8wHPMV2OedEFHd2iRJkiRJkirIIE7V8+Cf8lLUtctbP771dDj+5zB25+rWJUmSJEmSVAUGcaqOe6+AS9/d+lLUaIBDPwFH/Ds09q96aZIkSZIkSdVgEKfKm/NbuPx9kJpefmzkRDj+p7D9wdWvS5IkSZIkqYoM4tS+dauh/+DOXbNt1vnw+w8D6eXHpp4Ex34dBo3scomSJEmSJEm9XUNPF6Aa8Md/h5++AuZeAhtL7HLamjt+Ab//EK2GcMd8Lc+EM4STJEmSJEl9hEGc2rbiObj7Inh2Tr7G2/enw60/gbUr2+73zx/C1Z9s5UDAcd+FA99fiWolSZIkSZJ6LYM4te32n8LGdZseL5sPf/wMfGdPuO5LsPL5l/e56dvwp8++/PlogDf9CPZ9Z+XqlSRJkiRJ6qUM4lTa2hV5eWlrXlwKN30TvrMX/OGjsOhhSAlu+Cpc98WXt49GOP7nMO2UipYsSZIkSZLUW7lZg0pLCQ54P9z+c1izpPU2G9fCnefAnefC1tNhwayXt2noDyf8CvZ4Q0XLlSRJkiRJ6s2cEafSBo2AIz8LH78HXvsNGLV9G41T6yFc4wB42wWGcJIkSZIkqc8ziFP7BgyFA94LH54FJ5wNW00rr1+/QXDyxbDrMRUtT5IkSZIkqRYYxKl8jf1gr+PhvX+Dt/8BdnpV6bb9h8Kpl8BOR1WtPEmSJEmSpN7Ma8Sp4yJg8ivy7dl74JYfwD2XQNOGfHzgCDj1dzDxwJ6tU5IkSZIkqRcxiFPXbLkXHP9TOOpz8MC1sHY5TD8Dho3r6cokSZIkSZJ6FYM4dY+R28L+7+npKiRJkiRJknotrxEnSZIkSZIkVYFBnCRJkiRJklQFBnGSJEmSJElSFRjESZIkSZIkSVVgECdJkiRJkiRVgUGcJEmSJEmSVAUGcZIkSZIkSVIVGMRJkiRJkiRJVWAQJ0mSJEmSJFWBQZwkSZIkSZJUBQZxkiRJkiRJUhUYxEmSJEmSJElVYBAnSZIkSZIkVYFBnCRJkiRJklQFBnGSJEmSJElSFRjESZIkSZIkSVVgECdJkiRJkiRVgUGcJEmSJEmSVAUGcZIkSZIkSVIVGMRJkiRJkiRJVWAQJ0mSJEmSJFWBQZwkSZIkSZJUBQZxkiRJkiRJUhUYxEmSJEmSJElVYBAnSZIkSZIkVYFBnCRJkiRJklQFBnGSJEmSJElSFRjESZIkSZIkSVVgECdJkiRJkiRVgUGcJEmSJEmSVAUGcZIkSZIkSVIVGMRJkiRJkiRJVdCvpwtQxUTLB4sWLeqpOqSKSimxcOHCni5DqgjHt+qdY1z1zPGteub4Vr1qJTuJ1tp1RaSUuvuc6gUiYjfg/p6uQ5IkSZIkqUbtnlKa150ndGmqJEmSJEmSVAUGcZIkSZIkSVIVuDS1TkVEI7CseLgvsASopS/2Y8X95B6touOsu7qsu7qsu7qsu7qsu/pqtXbrri7rri7rri7rri7rrr5arD2AR4uP9wUeSilt7M4XcLOGOpVS2hgRqfi4W9czV0OL2mvqCqDWXV3WXV3WXV3WXV3WXX21Wrt1V5d1V5d1V5d1V5d1V1+t1l7pLMWlqZIkSZIkSVIVGMRJkiRJkiRJVeA14upYRKwASCkN7+lapEpwjKueOb5V7xzjqmeOb9Uzx7fqXaXHuDPiJEmSJEmSpCowiJMkSZIkSZKqwCBOkiRJkiRJqgKDOEmSJEmSJKkK3KxBkiRJkiRJqgJnxEmSJEmSJElVYBAnSZIkSZIkVYFBnCRJkiRJklQFBnGSJEmSJElSFRjESZIkSZIkSVVgECdJkiRJkiRVgUGcJEmSJEmSVAUGcZIkSZIkSVIVGMRJkiRJkiRJVWAQJ0mSJEmSJFWBQZwkSZIkSZJUBQZxdSoi+kfEv0fEfRGxJiKeiIjvRMSonq5Nak9EDI2If4uIP0TEYxGxJCL+WjzXWKKPY151zTGuWhURU4qx+4+IWBwRX2yljeNbNSUiJkTEDyPi7ohYVYzd8yNixxLtHeOqaZ0Zw4571YrO/P5Z9OvUGI+UUrd/EupZETEI+DNwGLAcuA/YExgOPAgcnFJa3HMVSqVFxL7AH4AtgaXAPGAbYLuiyY3A61NKK1r0ccyr5kXEhcApxcNJKaUnWhxzjKvmRMRI4GfAicVT64BHgW+llH7Rop3jWzUlIg4E/gSMABYBjwC7AFsAa4A3ppT+0qK9Y1y9UkSMBT4PnAX0Y7OfP1q06/AYdtyrNyhnjHfm98+iX6fHuDPi6tO3yIPhIWCHlNJBwGTgAfIPCd/rwdqk9jwBDAQ+CExIKR2UUpoIvIL8w+7hwKc26+OYV02LiJPYFMK1xjGumhIR04DZ5BDubuB9wJYppd1bhnAFx7dqRkQMBS4ih3BfJY/rA4HxwE+BwcAvi1/QmjnG1atExKCI+DfgYeDD5ICiLZ0Zw4579ZgOjvHO/P4JXRjjzoirMxGxA/kL3w/YL6U0s8WxfYE7gLXA1imlJT1TpdS2iBjd2viMiA8APwRWAKNSSk2OedW6iNgWmEP+QWG/4ul//bXOMa5aU/z1eTawLfAb4O0ppbUl2jq+VVMi4lXAX8gzJvZILX6ZKsK3BeSZcQellG51jKs3avHHkoXAF4H/Kw61Nluow2PYca+e1pExXrQv+/fP4vkujXFnxNWfk8mDYXbLwQBQPL6XnPae2gO1SWVp4z/ka4v74cCk4mPHvGpWRARwDvmXtk+WaOYYV635NjmEuxY4uVQIV3B8q9bsXdzf0zKEA0gpvUj+owpsWtLkGFdvNIe8XG/HlNIP22nbmTHsuFdP68gY7+jvn9DFMW4QV3+OLu6vLnH8us3aSbWk5br8UcW9Y1617KPAUcBvUko3lWjjGFfNKP5CfAr5enAf2zyoaIXjW7Wm+Xo/exZ/TPmXiOhHXpYEcH9x7xhXr5NSakopfWnza16V0Jkx7LhXj+rgGG9La79/QhfHuEFc/ZlS3M8tcXxecb9VFWqRutuexX0iTwUGx7xqVETsSb6+0NPAB9po6hhXLTkVaCT/YDo/Is4sdpL8XUT8R0Tsull7x7dqzZXkX8x2B77YHMZFRAPwJWAscF1K6Z6ivWNcta4zY9hxr3rR2u+f0MUx3t5FGVVDImIYeXkT5IsKtuaF4t5/9FSLXlncP5hSWuWYV62KiAHABcAA4PRS0+Ed46pBry7u5wJ/Aw5ocewE4HMR8aGU0q8c36pFKaUXIuJU4BLgc8AxEXEeeZnSwcCs4mP/DVfN68wYdtyrzrzk90/onjHujLj6MrzFx6W2gm4eEBOKv9xJNSEiRpOX8cGmHWgc86pV/w1MA76eUrqhjXaOcdWa6cX9p4AADgGGAfsAfyTvKPnziNgbx7dqVErpD8AR5CXY+wE/IIdwzwEnppQWFk0d46p1nRnDjnvVhRK/f0I3jHEHfX1Z3+LjxhJtmp9vIE+vlGrFl4CRwFPAr4rnHPOqORFxGPBp8m5Kn2+nuWNcNSMiBpNDN4BngGNTSreklFallGYBx5J3MGsgL8t2fKsmRcQxwBXk1UWXA98AngUmAPdExClFU8e4al1nxrDjXvWitd8/oRvGuEFcfVlM/sscwJgSbZqnUK4s4wLKUq8QESeRr6GVgPe02IHPMa+aEhEjgPOA1cApKaX17XRxjKuWjGrx8adSSi/5K3ExPr9TPDwIx7dqUEQcQA7hRgJvSikdn1L6N2AH4KfAIOD84o8ujnHVus6MYce9al4bv39CN4xxg7g6UnyBFxQPx5Zo1jwgnqp8RVLXRcRewC+Kh19OKf2x+ZhjXjXo/5G3Pl8PXBQRd7S8tWj3h+Lx63CMq3YsBDYWH88v0ea+4n4UMB7Ht2rPV4GBwHeLJaoApJTWAGcBN5B/x/pPf05RrevMGHbcq9a19fsndM8YN4irP80DYmqJ43sV9/eXOC71GhGxHXANMLS4/69WmjnmVUvGF/dbAPu2cms2pXg8Bse4akRKaQObArhtSjTb0OLjNTi+VUMioj9wWPHwqs2PF7+c/aZ42PxvumNcta4zY9hxr5pU5u+f0MUxbhBXf24p7o8tcfyo4v76KtQidVpEjAH+BGwH/BN4a0ppYytNHfOqGSmld6aUotStRdNJxXPn4hhXbZlX3O9X4vjOxf1TKaXlOL5VW4aTrwsHpa8LtLy4X1ncO8ZV6zozhh33qjkd+P0TujjGDeLqT/Nf4aZGxP4tD0TEwcBO5PXMl1e7MKlcETEUuBrYnbyM6biU0uoSzR3zqneOcdWSHxT374mIQa0cf2dxf01x7/hWzUgpLQGeLB6+qUSz5l++mi834BhXrevMGHbcq6Z08PdP6OIYN4irMymlmWyaKn9hkeo2p7vnFs//JKW0oLX+Uk+LiAHAZcABwEPAq4offFvlmFe9c4yrlqSUrgVuA7YEfh8RI5uPRcS/kf9yvIpiqYfjWzXox8X9hyLivc1PRvZ+4F3kJdjfAce4al9nxrDjXrWko79/QtfHeLhJSf2JiAnAreQLgi8jJ7p7AiPIUyiPSim92GMFSm2IiPOA04uHc4HnSjT9c0rpG0Ufx7zqQkQ0/6c8KaX0RIvnHeOqGcX1VS4H9iEHEnPIyzzGkcfvaSmlq1q0d3yrZkREA3Ax8NbiqYXAw8CO5OuArgc+nlL6YYs+jnH1aqV+/mhxvMNj2HGv3qStMd6Z3z+Lfp0e4wZxdapIYr9Enja/BfA4cAHwjZTSutI9pZ4VEY+R/zFrzzkppeYlTo551YV2fkhwjKtmRMRg8qy3twDbkn9A/Rt5J8mHWmnv+FZNiYhjgfcBewBbA48As8g77DnGVVPaC+KKNh0ew4579Rbt/Izdqd8/i76dGuMGcZIkSZIkSVIVeI04SZIkSZIkqQoM4iRJkiRJkqQqMIiTJEmSJEmSqsAgTpIkSZIkSaoCgzhJkiRJkiSpCgziJEmSJEmSpCowiJMkSZIkSZKqwCBOkiRJkiRJqgKDOEmSJEmSJKkKDOIkSZIkSZKkKjCIkyRJkiRJkqrAIE6SJEmSJEmqAoM4SZIkSZIkqQoM4iRJkiRJkqQqMIiTJEmSJEmSqsAgTpIkSZIkSaqCfj1dgCRJkqTqi4hDgFcVD69IKd3dk/VIktQXOCNOkiR1SURsHxGpuN3U0/XUoog4vMV7+OMO9m3u92Sl6lPdOhT4r+I2rScLkSSprzCIkySpDkREQ0ScERG/iYi7I2JVRDwbETMj4ncR8a6IGNLTdfYGETE4Iv4WEUsi4qSerkf1LSK2jIjZxffjET1djyRJ6lkuTZUkqcZFxAzgF8D0zQ4NASYA+wAnADcDD1S3ul7pWODw4uPPAhf3YC2qf6eyabbZJ4C/9VglkiSpxxnESZJUwyJiAnAVsBXQBPwSuBZ4BNgS2Bk4Atg+pWQIlzWW+FiqBMebJEn6F4M4SZJq20/IIRzAiSmlS1scmwP8GfhhRAyqemW911Xk2YF7AP/Tw7Wo/l0AnAGMAb7Zw7VIkqQeZhAnSVKNiohG4NXFw1s2C+FeIqX0YnWq6v1SSqvJF6mXKi6ltADYq6frkCRJvYObNUiSVLt2B4YWHz/Wk4VIkiRJap9BnCRJtWtli4+ndbRzRGwfEam4vbV4bmJEfDUi7omI5RGxNCL+GRFnRUR04NyTI+K7EfFQRKyOiAci4ocRMbbM/gdHxNkR8WhErCl2nLwxIt4bEa3O6C/ap4j4R4vP5ecRMT8imlq0O6DF5312O3VsGxFfiIibixrWFue7uXh+wmbtx0fE5yLimoh4MCJeLPr9OSJO68h72FlFDV+KiPuK3XMfjYjzI2L7dvqNiIiPR8TvI+Le4uu2MCL+EREfbON9bzmOXlU8d3pE3Fa8/hdatL2haHdl8XjLiPha8XqrIuLxiPhZRGzXok9ExAlF3wUR8UKx6+2rX15Nq/VtGRH/HRF3FDvlromIx4r3pOTMyIgY0+Lz+kjx3I4R8f0W7+3DEXFuW+9tRLytxXm+UKpd0Xa3iPjfyLsdLyzGz2PF5/6piBhezufc4nyji7Ewt6h3UUTc0tbXs8R5xhbj/c7i/V9RvAffiIiJZfSfHBE/iPzvwZqIeDIiro6I1xbHP9niPdr8e+oLxfNPFY/HRMQ3I+KRiNjY2nvfDfVuX4zLe4q+L0TEXcU5x5T7vkmS1KqUkjdv3rx58+atRm/AEiAVt890sO/2Lfq+G3g9sLTFc5vfrgZGt3Oem4A3AytKnGMJcFgbNTUCPyJvPFGqjn8CW7TS9+zi+GxgT+C5lv1atDugxfNnl6gjgM8DL7ZRRwJ2b9HnDWW0vwLo18rrHd6izY87+HVs7vckcMjmn3eL22rydQRbO8d+wPJ2av8nMLydr/8bgR9u1u8LLdreUDx3Azk8fqbEay0gbzQyBPh9GzV9o5335j3Aqjb6byRft21gK30HtWj3OeBtbZxrNfC2EjW8rbX3YrM2A4r3bUMbta4DRnZgXBwBLG7jfDcD/93i8dtLnOd17ZxnKXBMG3WcSdvfF98EPtXi8aDN+n+heP4FYGvgwc36b9/N9b6rnTGzAJjRke9Rb968efPmreXNGXGSJNW2r7b4+H8j4rcRMbkT5zkc+A05EPgacCT5Omr/QQ54AI4F/hoRbf38sANwIfmX1bcDM4CTgOuL41sAl0TEsBL9fwCcRQ7CflP0nQGcTg4CAQ4sXqOUEeTdY8cBPwZeCUxpo31rzgW+CAwkhyzfAU4G9gZeBXwY+F1K6f4Wfe4p6j4fOA04qLh9EHiiaPNG4P0drKVcI4DLyWHOB4F9yKFo87UDBwPnlpgRdF9R+5XAO4FXAPuSQ5S7izYHkkORtpwIfAB4FHgH+f36SSvttiOHkkOBz5CDwLcAtxfHtyIHsj8kB8SXka+HeHBRw4ai3aeaZ1VtLiLeCfyMHOatAv6T/PWYTg6eHyKvDvkkcE0rp1jX4uNXkb+uy4APkd+b44u6YNN7O6m1WtoSEf3JOx1/gBxELwK+Qn4/pgKvAf4N+EVKaVmZ59wV+CMwunjqd+QxOYM8jm8jv5efaOc8h5LH1Gjy+/VB8jh4LfBlYC0wkvw9/bJ/dyLiTcDPyd9H68mh27HA/sBHyKHxJ8nf583W0bqhwPfIAe1vixr2JIe53VXv24BfkMfMHeQgd1/y9+0PyEHcVsDVETGiRJ2SJLWtp5NAb968efPmzVvnb+Qg4RpePsvnUmCfdvpuz8tnikxtpd3W5DCmud072znPHcDQzdoMAK5r0eZjrbzO1KL2BHykleMB/LTFOaZvdvzszeo4q8Tn3eaMOHLQ0nz8XlrMeivj6/GyGYPF8xPIAUuiCIA2O354i9fs7Iy4RA7AtmzlfTu3RZvvdrD2YcD9LcbIsHa+/g8BI0qc64YW7VYD+252fCgvn/F0RSvnOb3F8etKvN/Ns0UXAwe00mbcZuP61Fbet5Z1PAFs1Uqb81u0+X4rr9PmjDhyONV8/CZgm458/Uu8z1e3OOenS3wvnbfZ5/f2VtrcURy7kdZnQx7Gpu/Z7212bDDweHFsOXBkK/23LN7Xf9XRSpsvbFbn10p8zl2tdxD5jw4JuBjo30r/U1rU8fGufp28efPmzVvfvDkjTpKkGpZSagKOIy+jbJ4l1ECerTMzIq6KiN3LPN3HUkpzWnmNBeQZRM3+J/KOra2WBJyZUlq12TnW8dLZe63NYvpaUfvfUkrfb6WOBPw/8qwWyLPSSrk9pfTjNo63KiKGsmnW1wbg+PTSWW9tSiktKfH8c+QZfgA7Abt1tLYyfTSl9Oxmr52A/2nxVKszyNqofSXwq+LhSPJsubZ8JKW0vIxa/y+lNHOz11pFngXX7AXyrKTN/ZpNMzUPiYhBmx3/Fnn2JeTA5LbNT5BSWkj+Pmm+fuA3I2Jwi+Npsy4fTyk90/KJVt7bY1qptaTiWnjN43gZ8KaU0tMdOUcr53wNedYZ5JDyG5u3Kep+LzmkLOVE8mywDcC7U0orWjnPTeQZaADvKr5/mn2GHNICfDuldEMr/Z8FPt72Z/QST5GXCVei3o8C25ID3LNSSutb6f9r4M7iYVv//kiSVJJBnCRJNS6l1JRS+hIwGfg6Obxo9jrgtoh4YzunWQpc1MZrzAT+VjzcGphUounDKaW7Sxz7Gzmog7y87F8ib+LQHGKc30Ydi4AHiof7lGpHXorXGa8DmjeU+GVK6YG2GpcjIgZHxHhy0NJs266etxUvsmn57kuklB5iU3C1UzvLi/8lIgYUX5uWG4O0VftS4C/lnJt87bfW3Nni4zuKwOwlUkobydc4g7zssTnwoQjT3lI8fIY8u6lVKaVH2LQsdUvyjKnWrCUv223tHA+QAyKAHct9bwsnk2eLAvxvSqmtYKxcp7T4+OulGqWUXmTT0trWnF7c/zOl9HAb7Zq/DsOAXVo8f1pxv4a8pLSUK4o25biyCPVb09V6m/tfnVJ6gdKa+0+OiC3aaCdJUqsM4iRJqhMppadSSp8BJpKv/fRccWg4cGlE7N1G97kppbVtHId8XalmpWZ0PVHieVJKG4DmUGXz3VN3bfHxL1vsoPiyG3kJK+TgsZS5bRxryxEtPi43UHqJYlfHj0TEtcVOj6vJX4v/aNFsQuu9u+SpYoZkKc2zuRqAUa01iIhhEXFmRFweEY+Tw72F5Ou1NWur9nnF17kcj7VT5+Yfb25Bi49b7mQ5g7zMEOCmNoKbZte1+HjfEm2eLMK/9mppYNNMvHIc0eLjTo23VhzU4uN/ttN2fhvHmr8nD2vn+/HbLfpMBih2Pt2xeO7BtoKtYsyWOwuwre/rrtTbQJ6pCnB6O/0/snl/SZI6wiBOkqQ6k1JamVL6DnlXyuZfxBuB77bRbVUbx5o92uLjXUu0aS+EWV3c99/s+VLna0u0caysi9q3YpsWH3d4NlxEfJocRn6PPMNvmxJNK/EzWLnvPbz8/SciziBf0+vnwJvIs8xae4/bqr0j73upels+v/ny0JZaLj1s+fls2eLjUmFfSy3bjCujpta0fG/7lfGazVqOjwc70K8tzUHpotaWZ27mZcsvIc+EpHMhU/N4afk1eLS1hpspN7xtdXx1Q72TyDMrO9tfkqSydeQHBUmSVENSSs8WuwDOI+8CeFhEDChjhlApA1p83NbMq85oOcvqA8Cfy+jT1gyltgKctrT8ZbxD54iIrwOfLh6uIwdaNwCzyNedegt5N9deJyI+wKZrszUBF5C/BreTN5nYh/JmbHX2fe+MUq/V8ufbcoKSluO6vVmh3a15vDVvANAdmmcDdvb7HPIMw+brQF4HvK/Mfs0zGFu+p+WE/OUq9R51td6W//6cC3ypzP5tzSiUJKlVBnGSJNWxlNKTEXEbcCT5F9UdyTtgbu5lM6Ra0XLGyfPdUF5LLTcKGF5cu6snLGrx8R7kXVPbFRF7simEewx4Q0rpns3atBUc9piIGE3e3ADy1+HNKaW/b9am1ZlTvVTLa8rtXLLVJi2vE/ZsyVaVsYg8GzSA3cm7fnbVYmArYKuIGNjOkvPNN7lo1vL7cetOfD+2nN03qYz2peooV1frbdl/fA/++yNJ6gNcmipJUv1ruTztZRe+L+xY4vmW9m/x8ct2oeyilhs8TOnmc3dEy40CDulAv+NbfPzfm4dwhd76B9DXsSkI+cHmIVyht9bemllsmi25X0S0V3vLDRrau6Zad+vseGtL887HQb5eXlt2ae3JIrxrXpq9Uyu70rYppbSMTbPN9myrf0T0B7bryPlbeb0u1UtePtu8IcleEeGSU0lSxRjESZJUxyKikU0XoH+y2HW0NZMi4og2znMwcGjxcF4FZozMZNOunidGxO7dfP5yXcGmJX1nRUSrQUUrtm7x8VMl2rQXivSUWq79ZVJKS9m0tHlb4J2l2kbEgcBriodP0j0z0jrity0+/s+IGFOyZfla7kb7iVKNih0/39zGeS4v7vsDn+1EHTcV91sA72qj3YlsWlbaFZ2uN6W0HriqeLgdbYwZSZK6yiBOkqQaFREDIuL4Yse/Uv6XTUHLue2c8pcRseXmT0bEdsBPNjtntyp22vxY8XAAcHax82JVpZQeY9PnNwC4OCLKmS3Y8oL/h21+sAgy393yqU4X2f3aq30X4N9aPlXxirruI+QdXwG+HBH7b94gIibx0mv2faGdXWe7XUrpZuC84uEY4KKIGN/F0/4ceKj4+PiIeFmoVMwSvBAY3PLpzZp9hU27wX4mIl5Dx3yOTZsw/FdE7NNKHRPpvn9PulrvZ9h0PbtvtFavJEndoZaWGUiSpJc6GrgUeDQifk2+9tuD5NkluwLvBw4q2s4C/ruNcy0mXwNubrHpwE3kC8kfBHyUTbsg/oFNwUG3SildFhFXk5dKHgDMi4hvk2cpPUFePrkDeTfSkSmlEytRB/kX+reSr9k1Hbg7Ir5P3rjgEfKF3Xcv6jgupZTIs2n+hzwb598jYjXwJ2Ak8Frgw8ALbHofu2MGUHe5AVgKjALOiIhnyTO1BgJHAJ/kpRf+7021tyql9HBE/Df5azkOuDEivkP+XNeQA8ePs2mX1AuBc3qgVMjv7zHAeODVwD3FeLuTPENxa2AqMCWldEZ7J0sprY+IT5C/VxuAX0XEYcC15IBuT3LoNAU4Hzi96Nqw2XlWRMTHyGNhAPDHiLgYuJK8Acx68rXoDgBOBo5JKT3Vov+DEfFD8r8fzV+D7wJ/J1+T7TDg38nf14vJQWSnN5johnrnR8R/Ad8ARgO3RcTPyZuUPEQOKrcu6n4jMKMLG99IkvowgzhJkmpX84yNHYD/bKPdr4FPFcuvSrmDHFL8L/D1Em0uAc4ogqdKOR74L/IMrFGUDg/XdHEH2JJSSmsj4iDg2+QldUOB/yjRfFfyUt37IuIL5OBnAPl9bDnTZy7wDjZdE6zlTKQelVJaGBEfAX5F/tnw33jpDLj55DBxFjmc6zW1tyWl9NWIeAb4LjkQ/Q9e/nVM5K/zf1R4XJeUUloUEdPJs05fTw6tWtu1c2NEfCCltLKVY5uf86qIOB44m/y5v5OXL7f8Cfl7vTmIe9l11VJKvytmlv2CvGTzpOLWmiPIu+229AnyNSr/H/n76P8Vt2bLyUtTv0cO4pa197m1pav1ppS+WYyZ75PDuPcXt9bsD/yjK/VKkvomgzhJkmpUSumLEXENObyaQp7RNol8ofpnyRee/3lKqaxfFlNKX4+If5Bnbx1GDgSWFOf5WUrpj93+Sby8hnXAZyPiMuADwCvIs1j6kX9Jf4R8Pbnfk2e4VKqOZcC7i5mG7wYOJs+Ee5E8S+kJcnD5bIs+X42IWeQltnuTg4cHyUHoj8mzfTYUn0vVl922JaV0fkTMI4ck04Cx5AvYXwJ8P6W0NCKeJoe+var2tqSUzomI68g72r4amEi+KP89wF3AL1JKre0iXFUppQXAGyLiBOBUYD/y999y8nh7jHzduw0lT/Lyc14eEXeTv6avIn/dnicHqj9KKf252DG32YgS5/lzROxFDtWOJY+BkcBq8lLQueRZY1e10rcJ+FxE3ET+vtgXGE4Od68FvptSerzFMvTF5X5+pXSl3qL/hcWY+SR5zGwPDCOPmyfJ4+ZP5PdRkqQOix76458kSephEbE98Hjx8I8ppdf2YDmS+qCI2IpN13a7KKV0Sk/WI0lSpblZgyRJkqSe8pYWH9/YY1VIklQlBnGSJEmSul1EDCl2aC11fC/gq8XDF3j5NeYkSao7XiNOkiRJUiV8APhURFwAzCYvhV9Bvp7lq4H3kncaBnh/SmlVTxQpSVI1GcRJkiRJqoTXkDeJ+GQbbZYBH0gp/bY6JUmS1LMM4iRJkiRVwrHA64GTgR3Ju9YOIu9+/DBwM3BOSmlJj1UoSVKVuWuqJEmSJEmSVAVu1iBJkiRJkiRVgUGcJEmSJEmSVAUGcZIkSZIkSVIV/H/4gH79wZ6IMQAAAABJRU5ErkJggg==\n", 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