{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Optimal Transport with Linear Programming\n", "=========================================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This numerical tours details how to solve the discrete optimal transport\n", "problem (in the case of measures that are sums of Diracs) using linear\n", "programming." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You need to install [CVXPY](https://www.cvxpy.org/). _Warning:_ seems to not be working on Python 3.7, use rather 3.6." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import cvxpy as cp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Optimal Transport of Discrete Distributions\n", "------------------------------------------\n", "\n", "We consider two dicretes distributions\n", "$$ \\al = \\sum_{i=1}^n a_i \\de_{x_i} \\qandq \n", " \\be = \\sum_{j=1}^m b_j \\de_{y_j}. $$\n", " \n", "where $n,m$ are the number of points, $\\de_x$ is the Dirac at\n", "location $x \\in \\RR^d$, and $(x_i)_i, (y_j)_j$ are the positions of the diracs in $\\RR^d$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dimensions $(n,m)$ of the coulds." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "n = 60\n", "m = 80" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate the point clouds $X=(x_i)_i$ and $Y=(y_j)_j$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "gauss = lambda q,a,c: a*np.random.randn(2, q) + np.transpose(np.tile(c, (q,1)))\n", "X = np.random.randn(2,n)*.3\n", "Y = np.hstack((gauss(int(m/2),.5,[0,1.6]),np.hstack((gauss(int(m/4),.3,[-1,-1]),gauss(int(m/4),.3,[1,-1])))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate the weights $a,b$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "normalize = lambda a: a/np.sum(a)\n", "a = normalize(np.random.rand(n, 1))\n", "b = normalize(np.random.rand(m, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Helper function for display of clouds." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "myplot = lambda x,y,ms,col: plt.scatter(x,y, s=ms*20, edgecolors=\"k\", c=col, linewidths=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the point clouds.\n", "The size of each dot is proportional to its probability density weight." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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Sd9Dovo1oK1PXhBCWA24Atsiy+1ngCBH5oorHfxHY6AjgOlqP/Cyocc8NuvqSiGxcrXE5TrPhAo/TZngcnpZYBOWhqCcUi6IGyt+RNsXyDrCdiHzb9iNsP4QQVkFlzkXRy/9gNaex7JhrACMXQjU7hQTinAr0ITWfu4YbMjtOYfiUltNmmHByLWhurKlFtp8KnBavXtvowg6ACTEbomYaH05EDXUSNju/QzU7LuxUGRF5X0TOF5GTbFlVYcc4CuBgios6fnC8+tuKj6iChBC6hRD+GEK41paFnqbjVBzX8DhtiuXAGgEM2IrC00tMRSPg/U9XPwPWFZE2cRNuKyyoYD/U9XwS8LXb7DQ3IYThwAbPorY6hfIcqfm34SLSmldXzTDh5kXUFCnibWBjESn2fcdxysY1PE6bYkLKdsC4/wGboNNU83LUn2f7NyEl7PwIbN9swg6oIbOIfCUi79rShZ0CCCGsEkI4JIRwnC1XqfWYiqAbFB/RcJH4Y/eclWrPYGCNZYGLgWV12xq23XHaHA886LQ5IvJpCGFDYOhIGLAdmg30t2hQwSii3QjgGlIGyqCane1F5NM2HrJTZ4QQOqBBEH+HysOZ+4ehCUyHiEgueboemArFRzT8Kf5Yz6EZBgAcC5xkG05ObHectsYFHqcmmNCzDpop4ujPYek/5q4+GrX9uaYZNTtOcYQQugC3APuACsg7AIsB44H/AFNVCNoEuDuEcIiIzKzNaPPyFrDBAxQ3pZXIYDqyoqOpLJ8DRNlur8zY7jhtjdvwODXHvLe2Q3Nj9SVW8nwD/BsY2gwGyk75mGbn38A+3YELgYNIn9eZAtyGGrib+uNuYP961PQ0s5eW2/A49UZVBR4zwlwPzX+4CKqJfRB4ze0TnEbA7uH10Rm3QcS5jUaiWqdX/F5uO0IIewP3dEcNd1tLUfImqjUxweA3InJvdUdXGlEcnsOB68kfh+dI4EZdrfs4PCb0DEansT5Hg2e6sOPUhKoJPGY4eCuwVpbdrwOHtJHbp+OURAhhc+BSVNDJxUjgRBF5vvojUkII8wM9iYWvcSIyva2OX0tCCC8Am1yB2obk40rUyAd4QUQ2q97ISsciJj8HzH8EesNl0/RMBU4kJexMBzYTkXIDlztOu6EqAo8JOy8CiyyGqpxXAD5FVc3jtdpPqGrThR6n7ggh/Aa4HZivJ5pXIC0iHRrt1lJCzAYOqKYGwaZytkSf8zsBHRO75wKPos/3Z+px6qYS2O/Ke93QNAuFuCdNRudI8yX/DCF0xQRIEZlRifEWg+XGGgJ07Y7G2dmDWC0+BP3tNG3VdGAvEXmsrcfpOA2NiFS0oBrZ1wHZCWQqiCTKVJAdVTMrqCNOqPQYvHgpp6AzIbMB+T3IjIx7OCozbL/dy7OAzas0ngOBj+040hGkD8hAW3aMxyBW74BaX8MqXYdDANknx/eRq/wmvjaHZPS3AJqe6nXSr+Hrtn2BNj6/ddEXRWmlvAisU+vvwouXRizViMOzLrDWYsBdwIIZOxdELQgX09W1UU9kx6kLzGbnUqDT74F/AF1y1O1i+0/U1fmAS619pcbSIYTwN/TlfsWlgPOBMaiB60e2HIPm4VpKm60I3B5C+KtphZqJ7pD67SiYRP2UUiiEsBEwClXUrdUJ6EHKbXUt2/6l1WsTROQ1UZucNdDEssOBd215FWqgvLH4NJbjlEQ1fhB3A53GyhR2IhZEX1mT9R2nTlgfGNQT9QAqhAtRgxrU1me9Co7lQuCPnYCrgS+B04HeGZV6oxnXv7R69tD+E3BBBcdSD0yB1JR4wSTqTwEIIWwMPAUsvhbxVNF4Yg8vMzzsBTzVlkIPgIi8IyLHishGIrK6LY+VOvXGcpxGoRoCzyKgNjutkdhfbJBRx6kmvwW12cml2cmkKzr/YRxdiUGEEA7EhJ2HrdN8QbM6Wb2H47p/CiEcUInx1AkjQOPsFBptbzKQMHQZEUJYAM1o0vVQ4BX05aurVehq668Ah8abHrB2juM0MNUQeH4CNVBujcR+DyTn1BODoHi14+7xxzVy1yoMm4o6E+ByYPsi229v7YwzKznNVktEDY6HTUW1MIVwOymD5Res/b6YZuc6cguRnWx/QtOzT2mjdhynXqiGwPMg6A/SzzkqTEV/iJL1HadahBDmCyH0CiEsZ8v5WqleD7mNtgRWWArVNJXCEah3EmrTs2UFxlQvXAEaVPDNPBXfBE6NV6NAv8cAnEBhGrPj41XP/+Q4DU41BJ7XgNfHo69EmULPVPQVy+bVX8fU1I5TSYKycQjhTvS2+wENfPYDMDWEcKftz9R+1ENuo2NB59ZKzf3Sydon+2sShgB3T0Fd6a6k5QWfbNs3I6XduQsYYq7na3UC9irwYHsTGzJbSoushBDmt8Sl/w0hvBtC+NKW/7Xt8xd4SMdxqkSbxOE5kDgOz+14HB6nuoQQ9gT+DKwGGiehB3G+igmof6/xLnCuiAyxtrcAB59K4UbLoJqEv+nHW0XkkDLGPj8wpSN0HENLA+Vi+B713JqrcXq6S5MEJ8zMpdWN9Fxaj5ESdECFnUNFZGYIoSfwYw+KM3zuQUoAXlxExmWMpQ/wB+AwWlcMTgBuAi4VkW+LOLzjOBWi2pGWb0FdzzPxSMtOxTFtzVlW6IWG4T8KWDpR7yvUPuN6YGy8+WzgXNRLa3hP1N27EMPlGUA/UkEINxCRV8o4h37AV31Ql/Ny6QN8px/7iciYCnRZFySypR8LbJqlyguooieVLd00PNM7oYJv1yyNMpmBCspzdLWrJJKQhhDWQuWrJUDtfY5Bf/Ai4fp11HPujbjL74EdRSSxyXGctqAtcmmti+bSSgapHSHVPLDTLgkhnAWc3QG4CE0p0LmV+jPRJ+IpgIUmPhsVet4EBkVxePLxe+Ay/TgSWLOcezuEsBLwwUA0zk65DAQ+0Y8ri8iHFeiy7rCXq3WI5YwRuV6mQgivA2vdRlpojJzchkY9Bt4QkdTLWwhhbTQdxIKbofdbawHFRqD3meUf+RlNC9GUQk8IoTuwC/oeEKU/+Rp4WEQqMeXrOCXh2dKdpsCmse7rANxHmtdUXu5HbTVM6NkLVdb8F5jvRHRqK5s2YAZqPHuZrs4GtpIyc2q5hqe6hBAOB25YC3U9b81Gag6q7jOp5HARucn66IMKxUv8BhWKWhOsI2ah8cnu0dUfUOG4aaa3TPA8hpYJ7COiMEdXu3bfqQUu8DgNj2kS3wZWuwQ1qCiWS4CT9eM7qGv63iRyaR2OClGLoMZnD6BJHCudS8tseKZ2hA5uw1N5LJ7Ol0CvQ8ntmj4HnQq9WVfHAsuKyDTr4yLg5M1QqbgQYSdiFrA1KU3PHcBBja7tDiF0BP5O4l9vE2ADYpXbcNSoM8E/gFOkSfO+OXVKrXNbePFSbgE2BqRXK3mv8pUZIIvH+Yo2sn43B96i9dxGb6HTE5U8n+cAOa/Ec4nKufEYH6j1d1RPBdgITcApa4HcCjLdrtl0W18rvnbTo/vB2s6P2jzLayV+L6+m3z+fANvV+pqUcS07otmCZD6QY0DeyXHe79j++eJzvwvoWOtz8NJ+imt4nIbHXM/3PR3NNVUqp5PKxXCniOxvfQc0XcTRaFDB6KX1beAa4FWp8D9RCGF34P6lUFVEKa7pc4BlSE2L/VpEnq7Q8JoCSxfxAGrbTifiL3ZOXG0ssJuIDE+0OwS4eW1Kj6chqL1PwoBnHrCTiDxeYpc1I4RwCfCHhYCHgC0KaPMsatQ5WVf/ISInVWd0jpOOCzxOQ2NBBKcG6DyKdG+sYvkK6K8fZwELisic1upXC/NA+gnofjWl5aq4Bouwp9nTV6q0UNYM2PTWPmhQwbUSu95Ak3XeLTaNlWjzX2CrG0hLJ1I0N6LBIfsDo3VTw31PZrPz3nzAkxQm7EQ8C2yDzgUDq4rb9DhtQLNlU3baH4sCnXtQnrCDte+hHztTwxxvonYNlwMcBxT72v+YtTPOb6SHaFsiItNE5CZR76uuwOKo6/natn1almZLQvZYG8UQSVfdUcNy1KFu3TK7bWuOARXcihF2sPqVzj/nOPlwgcdpdLpBZfI5ZPRTqS5L5Qxg9BzUv/ca0qZasjIHjfmyS1z3byJyR/WG2DyIyEwRGSeJODs5qMj9FrWfSppqqU+Z3bYZ5np+EKQ0iUWTaHdwCKFb+aNynNZxgcdpdKZCZfI5ZPRT03ghppVZE/hxDvpwWBa1Ufo+o+53wHmozc5g1CULDfz8f20y2PZFRe63qH030mx5GslFfReg+8ZYOPMSWB31NkDlv10qMirHaYVSU/U4Tr0wEZg1ATp/Rfk2PBP04yyKT6dVcURkQghhIDAMWGUMmkL9bNTSNjKyHUtKyAH4DDgn0uyY0fX6ZATmA17xqa6S+A5Y9XXUgr1UIiFnCikp52M0D2Gj0A9gwzI72YCUu3q/MrtynLy4hsdpaERkNnC/oDFVyuHa+OOQWhksZyIiE9GX6M0wd/W56FP3E1vOVcefF4BfAyuKyB0hhE4hhKPQ6M/DgX+iCqJ/2vrIEMJRIQR/6SmOO0GnGEtFUItoSBkszwN+32ACaEWn9irQlePkxQUepxm4CjQ3Vj4DjFzMtPbJ/uoFUV4QkS1Q5c5mwH6oh9HqqEfZZiLytIiI2UM8ispwqy+OBtE7zZaLa7er2/5H3H6iKO4BJrxO6W7pI9AwzcYnaG6toWWPrG2p6NReBbpynLy4wOM0Ay8B745Fc2OVwhXAj/rxHVQDUpeYYe0LInKXiNwjIu9KIoKyaWzuA7btiYby/RqVbC6w5ddoCOme2mQ74F7X9BSGXeubQHNjzSqy/Szgj/HqHcAvGlDYAb2Nyv5HeTmjP8epJh6Hx2kKkrm07gX2KKJtZi4tERlS6fG1FTaNdW1P1DZiYCt1P0aNRi09xlEicn0r1R2jQrm0vgfWkgbNpWVeWt8A3d+hNMPld0jZQU0B+ojI1EqNz3Gy4RoepykwIeXseajw8g/yT2/NRHNoJYSdsxtc2AnAsaAJTVsTdrD9l8arv7P2Th5MSNkB+PkeNDfWa6htTtb6tn9rUsLOVHQaqyGFHQDRrOe3gYZCKIVEu1td2HHaAtfwOE2DPbD/jDoy0QsNivZb0r23vkKndm5APZyMs4Fz69VwNIQwAFgJNRadCnwoIp9n1NkAGN4LPccuBfQ7E3WPsem8DUXk5dbq1xMWKbknME7ixJ4dbVt0ncaJyNzcvZR1/LXQOI9LgMbTOcaWkTvcG+iDPeF6/j2wg4i8SYNTwUjLq4jIB5Uen+O0oNbJvLx4qXQB9kQ15qkkjT1A+tuS9PI2sGetx5zjPOZDZ+eepuW4BXjK9s9n9Y8H5Kgik1keFfd3fK3PucDrsjRqhjTTxj0DnZm8HPgh4xr9APwFWLpKY+kDXIQlFG2ljEczivcp8ThdUUPzjWzZtdbfg43rEkAWAnmmwPvtGatv1+WSWp+Dl/ZTXMPjNCWm7dkQjcW3J+lmFrOAIag31nCpw3+CEMJSwH8wM4cFgE2AhYFJaGCeRN6Dt4EdgYOB808jlQS1IE4D/qofzxCRv5Q59KoSQlgatXXtg/3JnBfqQXydJsSb56Hf9++lCiEHQgjzo7Oj+6HpJyIlz3eoK/u9kjAuL6LfAaji6DDS051MRI2nr5YMTV9bYhq1O4B95kPTRQwmu03Pu+gXcCMpzc7dwP6iqVQcp+q4wOM0PeaBtCjxQ2hiNR56lcKEneFAv2WAP6DGrgsn6vyEGlBcCozSTV+jnvXnHkVaTKG8/JZUDKMTRORfJQ+8DQgh3A4csBGq4lkWzSh/IOqqtw0wFAio+uAl9CE7hNRD9hFgj3r+/iNCCEeiM2IdAZZHQwr8iEaXNOYCx0gNDc5N6Pk7eqsCagy/AfE/3MukAgxG/AM4xYUdpy1xgcdx6gjL/j4CWGMDVMXTo5X6E1Dr2Vd09VNghVw2PII+eD5CjVu6AcsBe5Hy1KprGx6z2ZkYoPPnqLAT8QUwAD3nCahGLMnLqArMND5XiMhx1DEm7FwHcAA6V7lOYv8INILkv+NNNfeyM5ueo1FNY7ZAglOAW1GtlNvsOG2OCzyOU0eEEPYAhiyDGrq2JuxETEANZUfp6mig/x3A/rY/cqe5CmjlKfMNsJKo901dYtNZo/ugg82kDzp/NJrsKUZeBjYF5uj01rIi8lW1xloONo31MdDxCsztLgdXACa5zQUG1nJ6K8Jc1ndG7eEjJc/XwMPi3lhODXGBx3HqiBDC08CW/yL1ICuIfwEn6MePgF9EcXhmAdsDY6xeb9Q9eiHUxuV/pCUj/Rr1IHq39DOoHqbhmQB0+YLiNDwR+6KGI8BfROSMao21HEIIFwMn7Y8ax+TjAFKanotF5JTqjcxxGhsXeBynTrA3+88WQA1xF85TP8lPQF9ShszPA5stggo809C066cCu6KuXxGzgIdQo+W3dNMkYJM6FnpSNjy3oVNyX6A2Ti+htjy3tdJ+GKrlQSMS9JEquayXSgihK/r1LzoCWLuANiOAdfXjBKCviMyo1vgcp5FxgcepG0IIfYEj0VxRkSr8eeB6Eck2i9FUhBB2BB7dBniihPbbAP/Vj3uiabO2BtgF1Wp0baXtDDQx18O6+jUaG6XuprdsWutVVFnFkug0FuiU1stkn86KEGAx1MUJWEJExrZSvc0JIawOvL08apBVKCuQMmReQ0TeqfzIHKfx8UjLTs0JISwQQrgZNb84C9gcNUvZ3NZHhxButimNZqYbFKfZSZJoNx9q78ya5Bd2sP13A7/U1X6osqTuMLubvUA9sb5Dp7EOJL+wE7VJXKeqZ+gOykIhhD62zBfNujukErwWTM+M9o7jtMQFHqemmBDzP+CQjtBxT9Rv+DVb7gl0VLfcQ4D/NbnQMxV0TqkUEu2moN4ynEp+YSeiq9U3/ljHqSY+BVgENdSegE5j5RN2QDU8GdepKoQQ1g4h3IR+p5NQO+tJwNQQwk0hhFyzVVMgFfm6YMZltHccpyU+peXUFNPsHNIPncZZOUudD4BtSaVTvkVEDq3g8RdDTUDWJE5H8Caa32dCa20rTbk2PH0Ai2y3N3Bvb9Q9fb5cjbIwC+hPypD5PBH5cxHNyyaEsCQ6XfW9iHyXo05H9BL1GobGfCmUatvw2LTkn0l4kS9IPD/7c3r1EWg6k/8k2qdseF4j3RU9F27D4ziF4Roep2aYzc6BHckt7GDbn8Cir8GBlq267GObsDUGDYJ2AGrTe4Ctf2PTaH3LPVahmEvxM9No3fA2G7eREnaexqY1tqY4YQc0HPVW8erpIYSti+yiJEIIq4YQnkAf9m8C34YQhoYQVs2sa0LKDaCu9sWQqH99JYUdm7o6GXgUWGdR4CRUFTUVnXqbausnkQqZvA7waAjh5EibZsLKTaBxdgohUe8mF3YcpxVqndvCS/staMJO2bPAHDx7xPl3zirzuKuigo4Asi3IDSD323Lb9BxIY1AD3ra6JnsAsgzI+AKvyzirb+PdHcup9bsic2pF5dj0838f0wRX8ZxXRZVU0gVkNVva8X8CVs3Spj8wdz6Q4QWe13CQTtrnXCqcWws4Obpm54NMyzOWaVYvcZ1PTvQ1AJgDyOV5+rk8bj8HGFDr/2kvXuq51HwAXtpvQZMmyyMFPrAejn/cny3jmH0jYWdTkE9zHOtTkE3ShZ6+bXRN5gNGArJBAULPeJD143G+BXRC8y7JQSUKPAdaf4kEj5tV+ZyHArKzCW+RELdzfPz/5mh3OWhC2HxCz3DSEsdeXuHx7xgJLrcXea1vSxd6dkz0eWS0fX+Q1zLavWbbE22PrPX/sxcv9V5qPgAv7bcAr5PlxzxXeTX+cX+9jGPeHAk70/Mcb3q60HNzG16XpVDzG1kG5J8gEzPGNhHkMtI0O18BS1n7DQHpDTKryAfwTGsHyKFx33dV8VyXjDQ74zLGMo40Tc8mWdp2Qj3ppRPIPiAvgMyz9vNsfR9Smh2x+p0qfA6vRZqdUgTM8+KxvZrR75GRpgeQ5VHhdvl0QWeOCztevBRWaj4AL+23tLWGBw3BMh1ya3Yyy6fxMacDPdrw2iwVaXoAWQBkG5C9QLa29cRD761I2LG2AZ2KknuLfPjeY32uAvJW3P8HVTzPX4JOY2Ubz2rxGL4Dumdp38k0PXOj67EoKggumn6N5lq9Sgs760THzDeNlav8nD7WtTP6HwBcBIwn/XzG23afxvLipcDiRstOLXkeCjfQTdR7rsTjHQR03RbNPF0Iy6MB/VCv7YOLPWAIoV8I4dchhF1t2a+QdiIyBg20uwfw9DTgSeA+NLigRVR+yvavY/WjtoLZ5/4VDSpYCNOtPsBgUoa1UN3YLt8DfII+wZOMs+1Gb7LEBhKROaKJQJcF/gKMnYi6q0/UKmNt+7IicpxUPkv6MaBziPOX2MECQMLt8JjkPhH5XDRdRF9gDdQpbQ10ivUUqYPcWY7TKLhbulMzzANqdEfo+A65vbRAXdNXB+bGBqfflnC824EDbgAOL6LdDejcAnC7iBxUwHE6op70g4HtUI1LhKA2K1cBT0iBnkLmsv4LYg/nj1p72FkCxw+ApXYhf/DB6WieqYfRqIPvoykbBunuD0Wkta+nLEIIE4FFdkbdkxZDhZ9DUZenNYC3tepLItKqF7pd+8WIr9P4Qq9xCeMOqPPVAp9SuBCdjU+BFfXjNKCb+A+z41Qc1/A4NUM0XcTtc1HpIFcm7ygOjz21bi9F2DG6QZrmoiCK0XSEEHoDw9FIx9t3gbAZmjp6M6CLCj/b2/7hVj8v9qb/mIjcbctW3+xF00JsD0x6GDXquReNs5NkFnAPsBEq7CwMPGYn+kBc7e1CxlgGP4EGmuyLCrZ9UWFnYeDcuF7eAMQiMldExtr1GlstYcfoDiywIOUJO6CpISyi5gLYfeo4TmXpVOsBOO2eY4EVv4YNV0cD4RyERZ5Dp7EeIiXsDLf6pTIVUlMdBZOo32oUWxNeXgKW64tmLz+UtLD/jEOtpv8JfKPx4l4KIWwoIj8UOay8iMi7IYRNgKfegl6/Qa/rVmi29Mno9Fh04H6osLMaMBu4Lu7qmkqPLYNvgWUiTc67qFS4LXCxrRvFBiCuNt2gcvN93UlNVUbaKcdxKogLPE5NEZFpIYStgCvnwoH3Q8f7W1abC9wOHCsi08o43JvAAUMobkprSPzxrVx1bCrlYWC5NdE5q15Z6vUETkGFuu11QMsBj5jQU3FthAk9y6PmML2/Ry9kklXQubcDiR/eZ5GKtvwB8EKlx5XBncCGAZ1G+wl13eqNTrUdkF6vnpgKlZNMpmT96DhOpXAbHqduMJueI9CkodFb7nNoVNxSp7GS/S+GxtTpWqjNxWfodANq+9tXcqSbCCHsAPynLypVZRN2MhmL5rOwNPA7iMjjBTQrCYuY/DjQcQfgV2guqoHABsRGRrNRYedCXZ0LbC8i/63WuGxs3VGzoX6DgD8R2+38DXVVow4zuLsNj+M0Fm7D49QNIvKNiJwjIluIyNq2PKcSwo71Px613+Uw8nsvzbB6xt25hB1jMOg0ViHCDlbv+Iz21cKElsOAuY+h/syj0DxPX6HCxVloAs6EsHNotYUdG9sU1Bnu65Go8fTKthypVb4GtqknYQdS3nD3QPlzfon2d7uw4zjVwTU8TrvCtEivAn03Qb2Csr2Zf4ZKB8N09RtgPTOyztZnP2B0FwhjSLfZycc4NODOTPXe6i8iXxfRvGhM03Mp+Z3ift8Wwo6NqQNqVjQPncHaDzVQ/hGdxrq93oSdCMt6PmJR9CYpxTV9GnoPmK3Y2iLyRqXG5zhOjGt4nHaFCS3bAt8MQ6ertkVdz++35ba2PSHsbJNL2DEGAmF9ihN2sPrr68dAalajepgQsyo6bXg38CE6zfehrW+O5q6qurBjCTd/jxotT0TtjLqgUZUHisjGInJVvQo7ACLyOjBiIppxthT+QUrYec2FHcepHm607LQ7ROS9EMJ6wPnAPk9C1ydbVpuBCgBn5BF2wLx1Fi5xPAvFH6sZ4C+FTZk8b6WWnIjJCV2BGbAEsdxwaY3GVArnAo+egU4JtoiO2Aq3A2em9+M4TpVwDY/TLjF7oUPRkC9/QJ89D9nyD6iB8qEFCDtg3jqTShzL5Phj3WoyKo1NY/0JdFpxmi2NP9r+hkBE/oM633EQKkXncyWcZvUSUSxPEZHHqjNCx3HAbXgcp2zKteHpC8xqIxueeiGEsAgwsSv68A/oBViAlDH5oiLyU21GVzzmsXUSag/OomgMpqNJefkB6o11DRqLKRHf6RTgEjdWdpzq0jBvUY5Tr5iQMnQm+iArhptIRT9+vL0IO8Zk4IcZwC2osHMLKWHne9IUX/WPKBcDOwGvRTY9K6KecL1tuSLpNjvAjiJysQs7jlN9XMPjOBWglDg8P6BxeMznvqpxeOoRM1hO2vBE/EFEGsmGpwXmvXUMsA+prBGAKrTuBq42g2fHcdoIF3gcpwJYpOXhwLqtRVqO+IFUpGXQN/2qRFquZ2wa6ETgj8TZRP4OXNYsGg87x27EgTSnNsu5OU6j4QKP41SIzFxax6OxfDJzad2E5tIyzc4XqLBT8VxajUIiDs9kEZlX6/E4jtOcuMDjOBXEhJ6H0cSgdEHj7ETJOl8BZsbVXwN2bs/CjuM4TlvhAo/jVBib3toGTRexPXGqKlD73MeBq4An29s0luM4Tq1wgcdxqoi5rK9IbMPxSTvzxnIcx6kLXOBxHMdxHKfp8Tg8juM4juM0PS7wOI7jOI7T9LjA4ziO4zhO0+MCj+M4juM4TY8LPI7jOI7jND0u8DiO4ziO0/S4wOM4juM4TtPjAo/jOI7jOE2PCzyO4ziO4zQ9LvA4juM4jtP0uMDjOI7jOE7T4wKP4ziO4zhNjws8juM4juM0PZ1qPQDHcZz2TghhdWB/YCmgGzAVGAP8W0TeqeXYHKdZCCJS6zE4juO0O0II8wF7AYOBjVqp+iJwNXCfiMxui7E5TjPiAo/jOE4bE0LoATwEbALQHTgIWM8+TwFeBW6zz8YwYFcRmdCmg3WcJsEFHsfJQgghoM+fdYifQSOAV8X/aZwyMGFnGLByH+DP6FxWtyx1pwB3AucC3+qmD4BNXOhxnOJxgcdxEoQQOgGHAscCa2Sp8jZwJXCziMxpy7E5jY9NYz0NbLIy8CRqtJOPr4FtUWkHFZZ+5dNbjlMcLvA4jhFCWBC4F9geoCewG7AYMB54EBgXV38c2FtEfm7rcTqNSwhhP+DffdApq0KEnYgxqMrRND37ichdlR6f4zQzLvA4DinNzsPA9j2BfwB7A10SdWai0tDvUQEIFXp2cU2PUyghhBeBja4BfltC+2uAY/TjiyKySeVG5jjNjws8jgOEEI4EruuJusQMbKXux6hLjQk9R4rIDdUen9P4hBDWAEZ2R7U02Wx28jEF6EvKkHkNd1l3nMLxwINOu8cMlI8F1ey0Juxg+y+NV4+19o6Tj/1AvbFKEXZArecPjFf3L3tEjtOOcIHHcdQ0Yo2e6DRWIeyF2vgAg4B1qzEop+lYCvRmK4dE+75lduU47QoXeBxHXc/ZjXSbndboCuwar7rA4xRCN1AtTTl0z/rRcZx8uMDjOPbgWKzIRon6/uBxCmEqpAUSLIkpWT86jpMPF3gcxx4c44tslKjvDx6nEMaAuqOXQ6L9N2V25TjtCvfScto9IYT1gZd7ok+kQqa1ZgD9SMXlWV9Eyn2OOU2Oe2k5Tm1xDY/j6Evz2+PQODuFcB8pYWck8Fo1BuU0FyLyNvDSFODfJfbxb1LCzosu7DhOcbjA47R7LDfWlaBBBT/OU/9jq2dc6bm1nCK4CjQ31pgiG34NnJfRj+M4heMCj+MoNwOPj0eDCt6OTlslmWHbE0EHHwduaasBOk3BfcCwb4FtKFzoiXJpWVqJYcCQKozNcZoat+FxHCNbLq1diXNpPYTn0nLKJzNb+ploBMFsrn7R9Nd5eLZ0xykXF3gcJ4Hl1DoEjbw8KEuVkej01y2eQ8spFRN6HgI2gTiC8nr2eQpqWHY7aS6Aw4BdXdhxnNJwgcdxsmDpItZDgxJGz6DXgNfcZsepBCGE+YA9gcHAxq1UHQZcDQwRkdltMTbHaUZc4HEcx6kxIYTV0ZmtvsQC9jfAv90by3Eqgws8juM4juM0Pe6l5TiO4zhO0+MCj+M4juM4TY8LPI7jOI7jND2daj0Ax3EahxBCB6AHmgpqKjBBRObVdlSO4zj5cQ2P4zh5CSEsFUI4Bw0O/CPwpS3HhBDOCSH0rekAHcdx8uBeWo7j5MQCMV4M/A7oqFsXtjLJCgBzgcuBUzwgo+M49YhreBzHyYoJO/cCJ0CnjrA38BwwERhty+fQ7Z06AicC91g7x3GcusI1PI7jZCWEcBlwAiwCPErrwYBfBHYCfgK4TER+30plx3GcNscFHsdxWhBCWAoYpZqbZ2ld2Il4EdgCmDMX6C8i31RxiI7jOEXhU1qO42TjSKAj7E5hwg5Wbze0HUdWaVyO4zgl4Roex3HSMNfzMcCSaqOzWRGtn0O1PHwHLOUu647j1Asu8DiOk0YIoSfwo3piTQRCEa0FtfmZDNBTRMZXfICO4zgl4FNajuNk0k0XC1OcsIPVXzha6V6xETmO45SJCzyO42QyVReTUI1NMQiJ2DxTKjYix3GcMnGBx3GcTCYA36ng8kKRTZ/HprO+Q+fDHMdx6gIXeBzHScMMja/XtauKbJ2qf50bLDuOU0+40bLjOC3wODyO4zQbruFxHKcFIjIGuALmoBGUX8zTYpjVmwNwuQs7juPUGy7wOI6Ti5OBBzRdxBbEubQirbAQ59LaEksr8QBwSpuO0nEcpwB8SstxnJxYItCLgONIZUtfiDhb+uSoapQt/WQRmdvW43Qcx8mHCzyO4+QlhNAXTRdxFLBkYtd3wHXA9T6N5ThOPeMCj+M4BWNpJxZFgwpOASa6N1ZzEEJYGeiPBp6cCowWkQ9qOyrHqRwu8DiO47RTQggLAPsAg4G1slR5HY01cI+ITGvLsTlOpXGBx3Ecpx0SQtgNuBHV2AE9gLWJlXevozEoAQ0iebiIPNjW43ScSuECj+M4NSOEEMR/hNqcEMLRqOYmwDrAsai33fyJWtOBe4ErgRGgbnmDReSath2t41QGF3gcp0FoROHAAhgeg06b9ATGoUF9FkZ92SN1wmPok/WltjzHEEJnYBNUyzEBeFFEZrXV8WuBaXbuBwJcAJxK60liBbgQOD1a2cM1PU4j4gKP49QpIYQAbIC+fu+A+oNPJhYOXq5nASiEsCnwKDruQrkDnTqpqtBhgs7/ocJYr8Susajm48JmFHzMZmcMsKgKO6cV0foCTOiZACwlItMrP0LHqR4u8DhOHWIP5OuAg1upditwVFs8mM07a1tgF2ARNMrgw8AT2by0TLPzPrAQbINqEa5Gp0gWBE4EjgCWBr4CbgAuA34GeBc4E3hMROZU4Vw629i31S0rWfnQCgBPALs0m9ATQjgUuEmnsV6ldc1OJgKsh01vHSoit1R8gI5TTUTEi5emKEAnYFf0qfqcLXcFOtV6bEWeRwBuAQQWEDhN4HOB2bY8zbYjVi9UeTwbAp/Z8TLLZ8CGWdr8RfdvIzBXYJjVX1DgNQHJUl6z/am+v0JVCgtW+HzO1v4XF/ifwDw7/jxbXzw6/lm1vheq8F2O0HO7Jcd3kK/cHF2b12p9Ll68FFtcw+M0BSGE3uhUz5pZdr8J7CAi37ftqEojhLAh8BIsgCbuXDdLrdfQdA/TADYSkeEZfXTG4qlIGVoKG8vTQFdYBjgcWB6Vc24ARgPMAH6VHEMI4XNgOZU7NwP2Be5G5ZfzWzni6ejUSRQKBlB3oe1F5MdSzyMxri6oINUL/gf8Okut/wFbg05v9Svn+tUTFmfnffXGGkO6gXKhTAeWwry3VhGP0+M0EJ5Ly2l4LP2BCTv9gIvRZ/TF6I8zawKPWb1G4FhdnEB2YQfbfny0MhgghLBqCOHKEMJ4YCYwHpgZQhhv21ctZhA2jXUb0BUOAT4FzkDtj89AhZ6D0f3cZvUjeupiDVt9zJZH5DlqtL8D8CQqZLE28HgIYcFixp+DjYFeOoX1qxxVfo3upxeFpYlvFPrrYm1KE3awdqlwPUuXPSLHaUNc4HGagR1JCTtvACehDkAnocqdlNCzQ7UHEpT5zeC4VGychQoH/CaE8ANq+zIY6KFprxbB0l/1sO3vhhCeDyHketJnsi0wQIWO69EZwySdUC1Pf7Qe2yR2jtPF2+gMyBTbnO8ZGe2fDGwFDCch9JxY4Lhbw2LOrERu+5UA/CJa6VGBY9YL3XTRvcxuurf44DiNgAs8TjOwny5OABbP2LW4bQdg/2ocPITQOYSwTwjheWA2Os8024SL39j0UqF9BVJeTfmEg/7Rh05AL32eDQbesWFMtOU7tr0bwKbAf0MIxxQwnF10cTgthZ3koVOC166JHXfr4kJU4ImejV/lOWS0fyFU8FgSuDba+dsKaOkm6uJD4qzvmQjwUbQyIUelRsTmCKe0XisvU1p8cJxGwAUepxkwt+Jf5ti9Zka9yhFC+CU613MXKkx0hC7okk3RB/+nIYRBhfQnalRnKcjzCQcXJD6fBnyLequvRqy9CLZ+pe0/DfT//qoChJ5FdLF8nmoDMuoD6pI1WaelNkvsuiFPX9H+pDJucyxfaT/gpRDCrSGE3UsUfl4ExqrA83SOKk9h3lpjrX6zMFoXr6O2OKUw3doD+W9Qx6krXOBxmoGxungrx+43M+pVBhN2ngeW1imSq4BJqA3vJFtfCd3PC4UKPaQMXloTDp5GnY0ArkGFn3wzDN2t3tXRhivyTG/9pIvP8vT7eUZ9EJExwE7ATJUZvrY9l2FuzVkYAfzTPg+25TOoQPVdVGld4CA0cN6XIYQt8wwuDRGZSeoC7IcaKEeaHrH1lCLwqmYxWAYwA+PXVWl1b4m93IMpyUa4wbLTcNTaTcyLl3ILOpUisJTA2Aw32rG2HUHjqlTqmJ3RN2aBPQVm5HDjnWH7EavfuYC+NyTlkv5qjn5/aX2eVqJ78anRmJ5rZRzba53+oi7x2fqZbfsRYLuM9hfo9k4Chwlsa/UWFPg/gS9EXda/sPXIJf0AcxF/WmA+2zZQ4GKBB205MDrmLGDLEr67oaTc31cS2M2WKZf4oYV8V41WgEP1/NaR2B2/0DJPYO3o+hxS63Px4qXYUvMBePFSbkENSd6IhZ6L7GF5UVLYeYMKxuNBXZXsIZlL2InKjOTD9DcF9J0Rh+dUgc9MuPhM4HDrq5vA5BIFnknWHkHdi7ONowOp+DsHZxF6Ztv2VDyeDom2K8bCzn+s/kyB1ZJCRZZygNWbnfjuBptglDz2XNuOoOqjor5bE3rOAn7IGMP3tr3phB077wVQFY/ABUXeM3+JrtF4YP5an4sXL8WWmg/Ai5dKFKB3LPS0KG8AvSt8vOe176sKfFhcGY3ledNIPYJGIh5ty0dIBEm0B/ItrQsHg0sUdqJyTNTXJ8AHaHCW0TbGP6CGMxuihhuimpzzBO60Zf+o/XRgg4zrc6nuOzzjmA9KLKwtZJ8XEthXNDhhpHW43/YNzCLsRGWuJDQ9u5X4PXZGXfr2tGVTCjoZ57wbME+v218kv6ZnnsD50XWeV+q19uKl1sUDDzpNgxmx7oAaYfRCbXb+TYVTFJgn1Wygo9rqFJIqajyp0DSt8zVwBfAPYC5wI3CoPpdnozk3p6EzOe+gBsml8g5xnJyczEJdlnpg/v0ZfA4cKCIvJzeGED4FlodX0HQEEXOAZVHZ6knU9Tybe/jBaAigi9HwArm4BDgZ4DYROTjfyThKy2zpg4Hf0DJb+j2owfvroALPMSJyLY7TgDRKIDbHyYsJNQ9bqSZdSXljFSLsTEMD90WsgOas/BVxPtCn0efPZ/2Av6EB7/axY6EGzAegQk8XPTxFxRHMwmrWz1xb74QKJGl0Bla3z1+hEgyogfJDwJOSJZcWKplhMXQSdAKORgMX/haNs7NkluY/2XJAln1Jlos+5PTAs4CIixKHb56YY8ztBhG5xmI33QgjFlXTnpPQoIJRAvs3SHjlTwCOEM+S7jQwLvA4TvHMAObCzI4qrLQm9MxB35z/gypJbkGVUJkOkquj8YIeQ4WjCTuhr9dGFJcmSrfQneISP2YjoDLAJDSh58/AfMBewB6ojDARGGJl9tJAH2AbEXkmT+eTgMVhFLBExq4TUVnpdXTG7Fo0unHympi8FHuA5eCL6MOGIYSeIjIudXaawPRIK0mp6rsQwvXAdSLyTZ4DNC0i8mAI4Un0Bh0ME9ZWL7U0RqCS+D3i2dGdBsentBynBCzI4Kb6LGgtnM3fgT+hws6LmJt6Hj4ANsHerkcCg3R650B0hinS8MymPKFnHirgRMqOXVDhI1NAAbXt/S2mPJsDrC4iH2apCEAI4VLgRA1amM29/kfUCSyK6bICKmhFQtbNqCv6QPR6ZIugMQ9YGfg42vASGvuoA3ARcBwWaloFxoVROWxyVH8ucDlwsohEaq52i+XaWppYxfOVuOu500zU2ojIi5dGLBTkpZX0NHqkSIPiRyIj0UmkvJeifT1s3ztlGi2/HR1DYBeBOXnqz7F6CPB+nuuTxUsrs9wnEBJjyCwdbJnPS2tJgSWidtugMXrs2HsLPCfpGdGfs+2dojZDgI61vqe8ePFS3eIaHscpAUsX8SmwtDr43IFFWE7wEOoQswJq91tMnM95qHYjCvrXGTX0XRzNLXoVamh6ZWknANb+ahvXdxQWiPoHNODxbID1ReTVXDVDCBcAp6mS5RA0BcUy6DTXDej03lyAvwIvo/my9gMGqL3SQej032z0WhyJ2ux8geb2+hjVUD1hzc8AnQMboJGdH6X13J/DgJ0xe6FLReQPBVwAx3EaFBd4HKdELHLyC0B3nar6HfqgjgyRN0bzef4D+H0JR/gH6R5KpwPnA++hBsfd0HQRpeRwnAz0RW2CtifOZl4I+6GZNBgmIpvmqmXebH/B8lnk4ELgdBGREMKSwBiYr4M6qy2BRlo+WDe3YCngVtSb/HtUEJuDmiY+S2GJzocBWwBz5wL9pUCbHjOE3hCdAoqMob8Chks7N4h2nHrFBR7HKQNLL/EQaZk+O6O2NhFvEzs6FUPkNt4fDY8TUC/7fdH8VC+gssQFuTpohdNQxQroDNDuRbR9ADVqZrqILJCvdghhRdQ1aydiQ5pHgatF5NNEvc2A52Aj0lNYzbHqD6HamEXQkEU7ke530Q8VjPYmzd47L3sD9wGcIyJn5zmXxVCXpqPJ7kL2Oao2u0VExhcxCMdxqowLPI5TJja9tRtqvbwxsa/3HKALfElL9+xC+BKdwlnauj4NFXr+D02Uujc69XUNalBcKNeQbmj9DKrlKJRnUJd6AJYUke8LaRVC6IIaFS+KWmQPE81tFe3fEXi0eI0T6HVYAJgJPIcKhIXyHHb+3wFL5dLQhBCOBP5FKlTA0sAGxDa+L5PIpzkDOF5Eri9iII7jVBF3S3ecMhFNMHkPcI9N43RFH3jvASsnvIKKZIotu6OeXqBCz19QLdJaqNfw0agG6FRad5GfjM4gRZqdVW2IE4sc10/JlVVDCD+jaqe1iKd33gDuEpEpJhCejkpZiyfa/hhCuBr4i11DO+FJRY4H9Bxmouefc5YtB5tZu8lLouqjCZk1Qgh/Bs7RtW1QO6rtSTmBASrjPo7aVT3ZFbguhLCkiJyb0dfGqEFTpLq7QUSaKSu749Qntbaa9uKlWQuaLkLgHyV6UV1iXkQ7JbY9I/CrHF5N3UTTRbyd4ZX0tm2Pcmd1ELha4Axb36/Ice2bPO5/UEkq25gmo9bVz8bbVhFNprpKst6TqAS3JDBXE4Z+X+SYXrO++iW2zRH4UuBdW7bmhZbKudY/y/d4lO7rKHB9geO5zuojwJGJvs7Oca3OqvX96sVLsxef0nKcKhFC2BV4sHwvrYfQGDnJfUnNwoKoJ1PSbqgjsbIlGWJmYdRm51eocmE5qzuGEry0EmyCeqv1QBUk95Fuh9PDtm2BTssJKgfti2YA4VwROSuEYCf7F3TqrlBOR22ZFgI+RDNyXAskbZD7olN/R5Aeh1BQxc5kgMVEJKXhMZudMUBX9Qw7oogxXY/KSsywg68MDNPrfQpqbP0MGjJoLsAmUoamx7SLG6MGTlFAoweBl6QBfuhDCKugFvFLEd+8Y4A7ReT9Wo7NaRJqLXF58dKsBZ0y/hrKicPTT1pmKR8VaQVm0VK7MotUss9UGQfcpJ8XkvSYNjtbnV3yaEBEMuLwWFlLVIOUrf7btj+KlTM2S52nor5+QP36t9b13gLfFnitvpFEHB6BzonPSwisLNArsW1+0RhAUftno33fksj4bt/hybpvmyK/v6hsHfV9EqlksKdm1PlTVOeWMu61Qah1vGQpbwNr1Pr/oZX/kb1RQ6psY4/Kc1avU63H7KVxS80H4MVLMxfgj/qD3UPg/QIfku8LLGo/9H/Lsv/06CFwF2rg82vUberXQHc7bmdUrdI5MZavtN0Lib4+ElhEYqEn11TS9xILO/NJLOxMznMukyUWen6XZf88SUxvRfklXtT11SW/0PONwGpR+x/jB+QOosJUcmrvf7Yd0YCHkdCzV9T+7IzvrgPqdSXFC6xReTjq+zNSU3v/zajzZFTn2RLvsUGx4NtLVIC6wZYpQW8yMKjW/w8Z414EVXHZGLsJHC1wk303Nwn8VmBBievwDLBIrcfupTFLzQfgxUszF3uDfSQWeh6RllGDozLX9kfCzk7SUrszQmJbHDYpcizna7s9M/p8SWKhZz5RG537BZ625T4SCzmLSGybUmik5yiic3eBKVn27xGdz942zsXROUBRTc/50lIQ+862947afopOHQmcLbGgk1nm2f5I0/NgdD5zgL4Z12tjrbe05Nd+5SpzrD2CWjRLJTU86PygaXb2EJie0fd0gd2j/kdinrm1LibsvB1/x1cITMpxDSfZ/pQW720XeryUUmo+AC9emr2g/tKPxm+py4saJL8t8IUtL7HtUZ2OAn8Unb6aa8vTJSHs3FPswws1vjGh4PGMh8pHotNbHRJjSJYOtv8AW9+kyAf/xtbu2iwCyMrRcS5IjLVnrOmJBLENBbazZSSAIVbvwlizk0vYSR4z0vR0TfbzYPJBCuyv239T5Llmlr2j/s+Ov9s/iWp2/iQJ4+aNS7i3No41O5nCTlSmS0LTs1Ed/D90ijU7A+3eLuQ6jrL6KU2PT295KarUfABevLSHYj/yfyQ1rZSzfAW8madOVD5CLXt7FTGOP8YPyI+yPFRGi3pv7SiwmS3PsO0fJQSEfxb50P+ntfttxvaUDY+gruwhMdYOwFYmiMzNOPe5tn0ru7ZjdPv/ChzPfxN99U+cF+9EQg/wlG47oshzzSyHR30fBZyV47s8q8T76hJt/6c8Y0hpkS6pg/+FvXUsvaVwYScqoySh6dmr1ufipbFKzQfgxUt7KvZw3gWd5noPdZV6z9Z3sf0d7EE2O/2huKjAmla6JB+WU9HEWB0KOH5H1A1cVOjJ1PTkKo9LuuHv7UU+qG6zdpEL/DxRYSfqMyVwrJtj3EuiAXZ2tOWSiX3LaNslJL92JypzE8f+3B6kv4jG8CCaut3WK6bh2dfGuzFqwPysLYvW7CTO3YzRb8gzhuujMdxUB/8Dz+lYrijxel4encuztT4XL41Vaj4AL168xAUNWvhg/LDdTuAxgVkZP/qzBIba/rQpma4FHGPBWOiJbHqel+wZyZ8X2C15jDm6XERUA3Sr5J5KSZZIw7OoqK1JMg7P1gK/j9avK+GaraptVy7ywbmSHfNdWx8lateDAG/F46uYDU/Jgk0r595QGh5gFR1HN8lts5OvTJKEIfPKtf6f9dI4peYD8OLFixbT7DwYCwZDCnwA3Cex0TEPFKHpOYWUTQ+iLusbi05jbSxqZFzI1NpiAv8nMKOVMW6cpd3iAn8WmCkJT6WnS7huZWp4ktMqhyXGt7DAsva5Il5aeb+XEs69oWx40ABLot5YpVzPqPw2Op+/1Pr/1kvjlGIioTmOU12OBnbVmHHPYgk6C2BPdJZgUdCcXkeHELYPIVwcQrjWltuHEFLRCkVkrohchEZFPB/4Wj2XX0SDJ79InNoCYE00mN+XaFifL219TWA8GvRvGzLSThjvWH/d0Zm7e4D/6SE5B/WgT6XEKCX1+9fANxrK5+kCmzyNBjxcykrEQYnPh6EzhaDpIkoh1e5qqU4W9ZeAd/Rc9kfl1yQzbPtYUO+m4VUYQzHYxV63zG5S7fuW2ZHTnqi1xOXFSz0XVOuyBZoH6hRbbkEF3tbRH+vVbdkLtcUpQrOTWe7Lp435AjislfH0RmPh7E7KZbiPaNye1ty8nxcNLIjoNFdS0zNZ1OYIyR6HJyotNTyoy/X8FOCNBpyp7Qv10trejndexr4PE9frMYFxEtsXFZpWIirXRX1NB3pU8R5dgxZxeK6XjDg8k6iD4INomG9JD/xYSrk3Oq/7a31OXhqn1HwAXrzUY0HVJX9A47tkEx4+tf2LltD3HuibebK/0brcrswHQWTT00HgWNGcWWcKLJM81oV5xveXWNgp1IvmS6uP6PSWiLrbR8LOAMkeaTkqJ0djuwvNtfA1KXsh5tj6RcCAHGNeEpim9c+W1gW0s+xY84vG80nufy5xnYZlCC4d7XMh1yN7Lq0q3q+DyB1peWQ9CDs2zlt1TDeVeZ/fGJ3bLbU+Jy+NU2o+AC9e6q2g8zTfxQ+MfgJHCpxky37Jh8m3wJo5+ulkmpvlbNkJnfuxtgsKrCrpkWSHlvkgGJroKylkzLGHRCp+TVZNj2lUxmudF4o89vOJ89ogMY7lBD5rpd00yW0v1CXb9qHAhlnGvieaaExU0/M/iQ2x54q6omeLtJwsSRuexxLbz0ls31rUNifTkHmObd86UZcz2/C+jXJpXYJ6b10CbESdBBu0MboNj5ealZoPwIuXeiom7EzRH9P1BB6SltGOZ9v29aIf3SlJoQf1GrqSlnmupsWagn8ITLX+vk483DO9sYotszKEhEyX6huifV+QZVoONWIRTQdRqAFwVOZJrNFBVIj5nbSu2RGBgxJtugocIvCKqDGz2PIV255yX58NHJxl/HvG1zma4llJWs+lFZVRkvDSEvUcS+6/TtIDFS4t6nJ+uC2Xlozv+5la38/1VnAvLS81LDUfgBcv9VLQaSzT7OydeODmKjMlEWPlW3Ra4dn0h95iotNJi2U8DLcQjf8iAi9KLGS0drxCS5S7qoNAJ9F8U9G+OaKB9hBg+yzX4Dndd2OJx44EqqUkexqJzJJylxY4QWB8nvrjBI5PXsuDspxDb+AMUolbo9JJVEuXOY0lkhGHx6IALyLwc5bjXyyqPcumkRogCaFoUK3v6XoseBweLzUqNR+AFy/1UlCbHFHNTT5hJyozJUPTI/r2Olji+C5ReUfgGInTQywu8LrEUX9/VeIDILNsaf1FruDnZOw/MxrvRVmugUWC/rLEY3+RePhfJTpdla3eNFHhI6p7cZHHuThqO5ss01t2Lh2B/sCGwIexducwUVudD215mCQ0O+8A18Tj+leO488VtfG5UzRdxp22flnUz/Ba38/1WkhFWl5Cio+0/KV4pGUvpZaaD8CLl3ooqDeWGSg/VOSP8FWJB/fWAhPz1J8gsJXEQs89Uh0Nz79s2T/XeK/Nch0m6L5xJR77x8S1QDRh6smiXlgPiUZaXlzSc3YdWuKxUpqexwv4fhchLaBj1vIgqbg2nWzbfFJcuoqUjdTJtb6n67VQVi6tFaPr67m0vBRdaj4AL17qoaCu5lJaVN3NJBZ2CrXBmSWx0BNpYiptwzM+8TBPnlObaHh+BF7PI2BY6ShwoRRvMzQuOtd55PDeynJ+KwD/sLF9Yst/ACvY/mt1TMeJTrEh0FlUeMyc3orKz7Y/LaHpNbW+p+u50CJb+uWS26bnJ9vv2dK9lFdqPgAvjV/QyHF7A1cDd9hyL2C+Wo+tiHM4Rn9Mjyzyofuu/Qh3k/yancwyQWLjyyiib6W8tAbaejRVs77AGqKZxlMeUVW04eE51GtoXeBV3RZEjaifErVfesrWg7W5sITjHRwd7+8VuAcWBn7W/j4QnbY6ISHELCJwoqj31gu2PFE0InNU58Do81Rg4Vrf1/VcTOh5Jr52C4p6X90oGmfnRltPejHyjAs7XkotNR+Al8Yt9kA7kTQX7rTyne2vG7fYVs7lFB3zSUU+cAfbuR5TooBwtMSaJaRycXgGS/Z0DmnlBWDtjOtgXlprSmleWr+M+j7Q+usHzFGh5i6rMzmj77tE93cU9Vgr5pivRMf7ugL3wCHa1xYZx7hX0t3ss5UNrJ4IbB5tP6TW93W9F3R6ay9aGPu3KM9aPZ/G8lJy8dQSTkmEEAJwFXAp0BtWBv4G3GbLldHtXApcZfXrmam6mFxEkznA7fZ5cGsVWyFq95Uth6LBaEthiLXvAtyMpnPoZsd4GnjTloNtO5sAL4QQtkt0ci8wQeu+WOTxh6E5NxkP3GcbjwI6qgJwIDqjtJAt37Iq+6DPsrnAdUUec1D0oXcF7rF+utggY/NeaEaGN4Bj0RQaG9ryWPRaDbd6ae2XwmkVEZkjIveJyBaoy/oFaHDCB2x5AbCKiGxh9ebUcLhOo1NrictLYxZUcyM6ZXJvFm3APNue8n45odZjznM+ZsPTTwq34fnBzm2xIrUSmaVHdI1u0+UiAiOL7GOkxAlEI1uSQ02bkq3+ZNuPoHFr1k5ci0Sk5S8LPP6XEqeXiIPBoVF+RQ1/M125ByTum6ds26ASrl/nqM/5s3yv8wMHo9nh30WTgL1r6wcn26CSupQ2tZYsF0Tj+Vut72svXrzExTU8TtGEEDoDf9K1W9E328yX62Dbb402/CmEMF/bjLAkngc+09At/ymwiSmFSsp3mSTV/hzgIU3AuQWFa3qGAJuj7RZDPbUPRZN75hpbd9t/KKhQcEli57nA8xpaaCN05kty9CO2f0N0BpPnrH3EwrroBXxum7635efE13AZW/6U4zi5mAnMAlW3pTJnhhD6hBAuAsYAtwBbowEhl7Hl1rZ9TAjhohBCn3gwyaSppTClxQfHcWqPCzxOKexKahprzzxV9wRWAs11tGtVR1UGopmsr9a1C7GHaB662bJiD8jJwL7AgzARvXbbA0+gQkyS2bZ9e1Sw/An4FTqb1A34Jy2F0EwCcJnVZ9MQwioAIjIT/a5M6NkMWJvs2dLXsv0pYWc3ax8xSRdjgQG2qbctBxBfw1G2XCTPmDMZGX34XkQEIISwFjr/dDLQQ8d4g9X93JY32NjpYfXeIPV7+HKRY8gk1X5MmR05jlNJaq1i8lJcAeZDbQ1WsmWbe0KhgoHA3wpU8f81UvFfVevrl+e8FkWf8FJYpOWfJY7XkhlksNDyTnRtJmMGmeiD9xhS2dMjl/W1RIMKriXp6SMWFI2tc6ytDy5yDMdEfV2ecT36odNsk+JjZS3j0GmwLlmu6Xla5zcCb0o8rTXA1qMxRBGrzyxy7AdHY/i7HW8tUgEgNxN4LU/71yQOK8BUNLO5qJdWKd/n+8m+Fq71Pe3Fi5e41HwAXgr8ovR1+CJSiR1TZTytZJGu0lju0GPfVuBD4NZorHfU+joWcG4F5tJ6UBIRlqV8Ly2uyDKWXsBpqFoii6AxUNRe5FuBpyVOX/F0kWOI7GcYhqp9fo3Op83JctyfTTgbjWp0DgS6tnI9q+illR6HB+hDUalBopKWIsTc0o8r8fv8XdSPx+Hx4qXOSs0H4CXPF6Qxbq5PPnR6gwy0ZcbD6HqgcxuMqSk1PInzW5OUpicyZD5C4A+2TMuWPlaX3UTj6hRyPaKSjMPDKnnGNAD4X0shJC1GiZU3ixzHG1Hbd1FbJlvvJBq/Zxtbdkoe53lgsQKv56naJphg8ZRo9vSnbL3UODzpkZZN8BfV2BQq7ERlpiQ0PaKG0KVki08ZUK9R6/vYixcv6aXmA/DSypejws4TgHQBOQTktYxf2ddse5f4QfREtYUeUrlwVpb8sVrmiWarRmig3Dfo9NbvSaWbaFE+sf2LkoohspWUFmm58KzapsX4M2r0khzPKNO6SBkaHssy3kvgXFHNUbLet7Y9lXn8w0KEHlRrdGpLYS1Zti/gXkqW9FxaqOG1aT/zTWPlKq9Gfdq01sImxBTS9nlJBCD8Z63vXy9evLQsNR+Al1a+HNPs9AJ5Pc8v7giQxeMHyHVVHldnUlMH9+Z5ENwbjelbGijycuJcO6AuU0ejwQmPtvUOiTrLxZqeYnNpMRZYrsSxdUSD2nS09cu1z5JteARWERiTp/4Yq4cAL6EhCl5FgwlNsOWrtn2RxHiXQj243kKtnt8CHoqPfbzkz+GVPVs66mIusHaJwo6IClxRHjJe02Vn0Wmq93O0ed/2pzQ790bfhxcvXuqr1HwAXnJ8MTqFIV0KEHai8jopTU/BuYXKGN+J+gOfLw5P1+hBcEKtr2mVr8dapE1vHSNqkJy8Ju+I2uykpqF+ANas4BhWjY+fK/5OZpkkcfb2HgUIO1EZIwlNT2tlmgnuy7cy7oNMU2P3y8GiEZRn2LFm2PrBkm6szR8TfTyp224oQ+ARSaTG+Bx1Q0scb0VRQXU30RQSm2Se6z/bWthBbaSOBc6wZb9a/y948VKvpeYD8JLjizF7hEOK/MU+OP7xLTu3UJ7xBVK2PIhOW/1V1ED5r5KYxhKrlze9hGksdgDOsvM/y9Yb4o0Z1fQkcgNFQkR/SQQXjMozlKjZyTMGC5pzqBQ23XhoYkznFikcnGPtegkMEQ0+OM6WQwR+nTzfn4AtWhn3PmgsgIzr1DljPUgsoDEOGGjt39VtI8sUeN5KHu9n4BU0BHTm9xeV2WhU4DXa+F5bAg3AlDm2ubZ9iVr/P3jxUm+l5gPwkuVLUdfz8dDSZidfeTX+4RtPlaeQTOg5gTQD37Tyre1vVdhB7S9OJWWD0qKMsv0tIunWY0FD5F+BejMlz2OybW/VQLnMY69NyhbnUMmdgXpShrDTUVra7OQr34gaMncU+D5HnY8FdomOMzOb0AMsQMoTbVPRhJxLSWwk3cnWTxE1dp4qsG3U5+fWfoKuf16mwPNZ4nokhazVBA4Qnb46wNZDog7XAQu10f21BPBZfG32EPg/W6YMyz9zoceLl/QSRASnvggh9AO+6o2FcysCQSP8/aCr/USk6sHPLILyrqhty0Log/1Z4CERyYyYl9l2MTS08fqgKpK90GhwE9CETF/E1V8BdhSR8RU+haoQQuiEGjV3R13dJ0ob5AKy3Fj3A/NrYL8DgT1sKBNt1+1YYOGZQBe9/KUE3NsA/VqGARvnqDMX+B1wDWhMn7VF5LPEeI8ArtcZuVeABW2PoMGTu9IyiOLP6JjfA036ZQcfCaxRwnlEjAR+aZ87ozO3g4H+WeqORtPJXYYFqvwI+LWIfFPGAPISQhgC7KHjfJhUCjBAI4XvguUpu19E8kUGdZz2Q60lLi8tCxpUUAaW+Jq6YvzWuVKtzyXPec6PPuGkP8jjIHMzzmWubV86PqeXaRBNT42v7drEOSFyleeB4/XzNiVqRLa2vh7PU29OUtNzXWKcAX06C9xe5LFvS5xLB1uWYsPzqsBFtoxseLoJvFdg+/ckYcT9AVXU9KDSzVzNl5YrZtFXYpqeucBStb4XvXipl+KpJeqTqZCKyV8Ukt6u3nP5nACs1x919dmOlrlOOtj24cDSuml9a+e0goi8LiKbAquh02gvAm/b8gpgVRHZjFTK8lLuNoizy+fLJ9YRzc0JwP4hhEXs85rAIOhJ/jQlmexMrPn5nS2vKbIPULnwZDSO4lW27W/ozGQhrGJ9rAL6snJxCYMolJ2BDrrIlYy9n1WjA6rucRwHz6VVr3wPTPgeGFFkwxGkprMmxB/rjxBCRzR9AlcDffPU70vao+xoa+/kQUTeE5HjRGQTERlky+NE5H2r8gkwF16n+AnUb9F2HYEVCqg/EM33xQKoGzlYojXd3rXI4z+GivhroPnPeth4iv2v2RS1kV8ceBPNd3pYkX30AO5Bp8E4MoSwXpEdFMqiuhiYp1pq/6JVGofjNBwu8NQhonYvN0H8vlkoifo3Sh77mRqzLbD0csA2BTbYBlhWP/a39k6ZiMgPwMMaE/CGIlvfgLbbFbWjLYRjog/72dKyhy6cqDMa+D80U/vqtjzdtid5xpYHozJUJKScQmHJXyPWRZWGt9r6URQvfIFqeE6MVo4roYNCmKiLj/NUS+2fWKVxOE5FCMqmIYSjQgh/sOUmIYR82Y+Lp9Zzal6yFxJxeEYUaIwwgraLw1OB8zsLkD8VaXDxx9j+5M+1PodmKah6RdS9vJQ4PMVEdv4i+v5G27EP0PXfiMYO2jdhj5NZOtj+KdZXlP/qLlv/RqC3bSs2l9Ze1m5x66eo2zJRRol5b82kCrZmpNnwfJVjDCkbnjm4DY+XOi3oW84JqLF/tv/5j2z/wpU6pmt46hQR+Ry4YSawPfBGnvqvW72ZunqDta9nuoFOBBRDon4+oxGncJ4BXtC4idsA+ZyMvrF6Y9HpoC2KOFT3zA8f6uJ/wObAXUAnYH80S8pIW+6HTp3dBWyJmrktYF1EU3F9UIe/bmjA461JBUzOitj+rVF/wA52rD5FnE8m/TFbns6U5y6WFRH5Ghiq4X92Qb2ykkReWnMAhkobeGk6TrGEEAahBv6XAQP7ovrZE21pJg4Dbf8HVr9sXOCpb44FnvwRVeofQvrPd/RzfQjqk/ujbn6S2IKznpkKamhUDIn69W6Q3TCIvm7tDnwE76N2xOfS0qbnO9u+JlpvJTTmXjGa5ymZH94E3tJv9k00MMF7wB2oULWGLf9tx1wWtdH5LfG00y3E/xVroc5nvW25HrAOGjR5JBq2Z6Str2P7n7e229i5lcug6EOhVs/FYkLiW+j12gOdAtzD1t/KqOc49YMJLy8AfdZBf0FGof+Rl9pylG1fR5v0AV6oiNBTa7WWl7xqv85oULOUqm8J1PV8iXT13zyrV/Vs6RU6rx0AWY6Wrui5ylyQZePz3aHW59BsBViMrNnSt5aW2dI3lfx5r7KVIVEfryaO+yfd1lngkzztPxGdzukgsHxiPA9l1PtGNFBhiwjXmWU88JR+/l0ZU1nJcmzU93FV+p4+1v43kZbTfx0kkfLio1rfU168JAs6jfUNIHuAzMjzzzQDZPf4/v6GMqe3XMNT54jILBE5ClgedSWZ8APqWpPwxroIWEFEjhKRYqw1a8kTwFdfoCqpQngSzTiJWq8+UZVRtWNEAzpuDvwauB/mzNUwSf9Fl3OAXsDTqAv3YiUc5erow52JjdbRXuT39lrB6s1DgwljQSj3I85DCvpS+Hd0iud4EsrsiWgaiidRa+elgLt110/FnEgrpFz8p1Wow0x66iJ6N74COM+Wo9HAkoC6nTlOPXEIptn5N9AlT+Uu6A/F2rrah9i7syQ80nKDYVGNlyCO3vuD1Lc3Vk5CCKcCFy6NxtlpzTX9G2BDNA03cJqI/LXa42vvhBCWQCWMyN7Gojd/DKxYQo8fA78AFQT6ishPdpyXgA1Vhi3EZ+9JzElvDhqe+RTgcN23OvqbuCQ6BXcr8E7U8EbgSMn40QshbAAM15BF71A+q2ERoDcQkVcq0GEaIQT7Ap7C3PwzeArYCuBjEflFpY/vOKVgXlcfASs+AOxWRNsH0Alb9Edkpcz/4YKptYrLS/staKTll0EjKXuk5fouaNZz0YjJc4qc5skeadn6fUe3jyywr7eifj629gEVeixbfYsy1vZnzemGWj/PVO+qUWVOZ1XXS8vGe7ae16+yfA9zbDsCnFXre8aLl6igHg7SF2R2kf9Ys0H6xP/Pm5Q6Bp/ScmqGiEwHdgRe+Qr1MlsBNej4my1XsO2m2YlyaU2vwXAd/Vomaf6m36GZCwohyqX1MNqev2dUMAPm7wvsLxVPc/kQwo+oFXIn1OJ4fzRA0L223B/NKXeR2K9uJiIyDRiiv6XFRr7K5CpsWu2+Kt6n1wI/6dTiNqhG50dbboNuZ6LVc5x64Regd2inIht2Ik33W7LWstjjOk5FEZHxIYQt0XgLR38B/TOfhqhhwjXAP13YqR0i8lkIYTfgCbims04Z/Y3Wo/5+jIquD4NGA9xVEolDjeeBDTWhaSFTWrdFHzqg9iw90bmsc1D/8gskjiRdKJcD+6kX7EGU5mD1Hto+1V9VEJHvQgg7AI/B04uYgJNkIvpiUKgE6VQJiwi/FfqQ7oZ6p34E/E9ECn1jaBa6gWaXLoVEu5JDkrgNj1M32I/DtqhvcWSj9AbwRDv8cahbQghbAA+SCo/8KzSC8prEX9ubqIFy6mE8CRV2nsvSX3/gS+gcVGhozXD5U1QYmYu6qS+aONZ/MO3Kz8BeIjK0yPO6Hjgizo1VTJSoCajG/n2A60UdDapKCKE36p+/L2qg/CMaqOhaF3ZqSwhhceAI4GhSaQDT+Ap9ibtBRH5sy7HVihDCUcC1h6HGdMVyGHCzfjxKRK4vaQwu8DiOUywhhOWBP6JTRgu0UnUa6pDx9yyanWR/dwL7apydJ8ku9HyKaoC+RL2y/p2xfxRwGuZ0NRfYWUQeL+B0ojEsBLwK/EKFnnsoTNPzPvAbW/IhsL6ITG61idO0mBH8I5g33QA0AfJCaKrdoWg0KGMcsJNUwbi93gghbAo83xf9Ty1memk2sAyavQ/YVESGlTQGF3gcxykVy3p+MCqB9CZW8XyPepTeKuaNlaef7mjE57VhPtT1/CDUIfF7dBprCPrTt45V7ZalJ0Htky8B1fSsV8z0VgihLxr2eSUNgXUiMBiNoJzJaNRm5zIsd9eHwFYiki9UtdNghBC6oCq8RVF13jARmZml3gaoWnP+TdFwkFuRHuF3HnqDXYDqEYHpwJbNLvSYl9aHwMBaeWm5wOM4Tl0QQuiGGtruQ9Yo8B1s17VkF3YiBJW/7gb4t4gcUOQ4FgIuBo60LaimZxA6izcJtZN+nzjuD9cBp7hmp7kIIXQGzkCnppJxjX5Ep6TOF4t9ZtNYHwA9D0KnbVrTYsxBYymYRdo4YOVmn94KIZwAXLYOMIz8cXhA3R03RtMnASeIyL9KPr4LPI7j1BMhhDXR/BEd1NZzMWAz1FwlmzlENkahaRZkFuqlNbaEcayHZj3fC1X3ZDILNZK+XEReLbZ/p74xrc6jWFCjVdBkKh9ik5fKf9EpqVkhhNOACzZFVTyFTNnMRqN8mqan6eOLhRAWRoXCPrujKuDWhJ6Z6KvLA7r6LSoUTmqlSevHd4HHcZx6InpwwE6oKUSp7IQaMpf3IAkhzI8m9VoFtVeahj7z3navweYlhHAucGYv1BJ8C1TXJ8CzqKW4SdHnoR6CXwBLFxo+M+IJ1MYHnSMd0OwOGolcWt3XRq3udiZdQJyD/udfSEqzMxm13Xm7rGO7wOM4Tj0RQngbWB0eJ/UoKInH0ZRtvCMia1RibE77wLQ7Y4CeTwNbZqnzNKqdQae3DgceGYCm/SkmwN081ET/C13dTkTqPm2O2eMsQexq/0MxdjUm9DyGpougL7A1sWH3k6QMlLGP25cr7ECTx+GxNAyrEV/Hd6VB0zC0V8xVfTvUUjX65xoBDG32N6F2TB9dlJu5PNV+yTI7ctofmwI9V0E1O9nYElX5va+2Pdthf4qN5tvB2l2pqwOp4zyBIYTFgEPROBTLJXZ9EUK4GrhZNCdfq4jIyBDCyqjDw+BvYODNLat9jHoF3FrONFaSphR4Qgg90bn3o1DPkYjvLNbG5SIyriaDcwoihLAAFoyQHHEsQghRMMJqJWl0aoNZJJccX4yM9uV2VHHsDXldVDMwgFiY/xy1d32tVE+UWmDGvbuihlarE3vrvYNamT/YYC+bi4La7IQcFQJqYWb2PD2gtkH1qo0Fu7wb+/9cGLWuGw9MUuHnIuCsEMI+IvJYvv5MiPlXCOFy1C75F8T3zUfAi5X+H2g6gSeEMBA1JFsa9FtYCtVNfqFven8GDgkhbC0iH9dsoE5OTGB9DH0gsDxqNdoD9Qe9D/hMv98LgF1DCDu4ANtUTAW66u9eayF+8jGlxYe2IISwJBp0bjPiH/Dn0VQX36N2mH8guwprS9Q77I0QwqXAnfUu+IQQDkTThfTO2NUFPZ8tge9DCH8UkdvbenwlMhHUQFnILvSI7TcmgE4jlEKiXZveq4Viws7DQMdfoW+i2wMd0YBXj6PBGZ5RYejhEMIuhQg9AHZ/D7NSXdo6gVg1CxroaTQg64I8BzLPko/Ns/V14wRko4GetR6zlxbf4QJo8DdZBuSJHAlFh4L0j7/LV4AFaj12LxW7B97W7/XxMhN5PhbdH2+30bjnR4Wa2WRPYjob9VARQHqAnALyJMjLtjzFtifaXAV0rPV30so5nxqNdWWQK0G+AZlmyytse+J8Tq31mAs8ry6obY48neMGeyo+p7GohbwMyPJ7la/MBVku7mvbWp97lmuxGCqIySmJZ2pmmWf77TymAIvVeuwtzqXWA6jwF3NOJOz8nONL+Tld6Dm71mP20uI7PA0TZr7J80PxTbrQc1qtx+6lsvcA7FSmwLNjmz1kTdh5QY/XUWB3gQcFXrblbmJZ1KULyNUmFGQb+DTb3yVd6Mma6b3G39OBgHQwwaa1B+EVVs/O58Baj73A8zsXkF4m3CRfnp+y7XY+56LKjtGgL2nF3KhD435GVVu4RWfPjkUV5U/Y8lhgoVbanAzIlq18x8nvesv4fE6q9XfY4lyqdFEDqsa80S7qi7a80bZX/J8XDc/6Hagmp7Uv5dn4C/kWmK/WX4KX1HfYEc0xI0OL/7EYXc9vwl6Kug96AbNUQPiyRGHny0jAmAn0aoMx36D34VIC72YZzx0pYefZAk/i2XShZ79afy8Z59s5+r29osDzuSI+l+8a4XfXzvHJSDu1CsgetkxorJ4EOlv90wDZFGR2gddkFsgmcV9VE8xR85W/otPFkqVMsf2dMtoF1K5MHinwnB6O+/ys3gT1Sl/UbsDxqMFRtosalQ+tXrcKHntNUNVgIVJoQoW4Zq2/BC+p73BHQJancLXwXFSNbN/ljrU+By8Vuxf+rd/pPgLzihR25lk7BLijDca6JDBbNTvZhJ15AmsKqOammJO5Kr63X6+nhwewN+h0Vb7f2+Tv7krx+exV63Mo8Dw7oxqcsRnPsLG2vXOibpTAVQ4qQOiZBXJg3N+PwOJVOodOwEPR2DcHuQnkcVtuln5eDyWFHtQuSxYGmVPg9zzH6lt/S9T6O0y7FhW8qP2Ad6ML1wfkbJDHQF6w5dm2PXFx30WjoFbi+JtH0nUhX0pCqt681l9CoxZgEdR+7Wk0q/nTtr5Iif2dA8hpRT4UTo2/y7NrfU28VOzeWiV+Gz2pCKFnnsAfovthKrBKG4z1TD3e7jnG9IqA2uZML/LenkaaTc+6tf5eEuf8NBSu3YnK5fG5PF3rcyjyfLugYXf2tmWXHPXWRwNTyqaoBjqXDeKm8bWYhiacrdbY/xrdfy/k+F5eSL/P/ppou3ykSCjme1427mv5Wn93adeiQhe0H/A1IANB7kel12wXYpbtHxhfkK8rIfTgGp62vXHgEDQ5o2QpPwOHlNDnJYBcVOQ/19/j415S6+uS5ZwWQB0F3ai6+Gu3PRp0VVRjMyrPrfClJDQ7c9Agbm0xzqf0mA/mGNeRAmrQWcx9HZWT4/v72jzjaDMNEKbJyGdnl1m+ic9lbK3vrypem/Wj6wOqgT4WfZE7Nv3ZI1avKGEHDd2zIrC2LTu0Uneh6MUhl7CTFHpsTFMwmx5cw9PignbDNDsbgkwo8KJMsPp2Ud6lzOkt1IbnW3AbnqrfNCrsCCC/ArkHZIQtf5X+z3xIkf02jYbHXgJuBWbY2GbYekU0mu2lmNBjmp4gasj8uMB3AlNt+ZiogXKI7oOpbSXs2Bhf1eO+nOMW3VJAvbBKEXiejO/vpzKO2wN1b383vkZMtfXfA4tW8ZxnQG7D61zl5/hcZtT63qryPbE46sE2KvF7mCyjbH/B01gmvJyM2dQkyme2vYXhMWqQLJsX+P1sFvc52Nq7DU/GBT0eVGNTqLATlfGkaXqOq8BY3Eur2jeMTmP9DMilOa7xP+Lr+zNFTG/RJDY8JuyMiX6Qeqf/OI1xoafo67kKcAdqgJzt4RGVmVav6tNYGePLo+FZV0Bdz4v5fYzK8Pj8XrXjLYQG85ue53pMs3o5PXDKOGfX8BR2nToC26JT/WfYcluKdLAA+pOwjV0CZE1bJr7vj4D+Ge3uA7XVKeT7uTHu695EH+6lZRciRF/C/SX+Mw+JL86H5UqDZMTheZZ0V8JnSRN2RlEncXjQoJXHAy8Dn9ry+Gr8UFVgrCeAanJa+14TN/3xRfSdcu1sZC8tVJMjG4J8ZuP8jDSN5q21HmMjFtR761Q0Ts9Ye+CPtfVTaQNvrBzjymPDUzkND5p24+3oIbc1yEMgk1Dhf5Ktb53+IHwb6FPhc25XNjw1vu8Xip6zq4I8Sjy9NMfWVyVN6Fko0fYJUAPlQr6fx+J+nkj0UXAcnsT0a/PF4UFdzKUPhbvhZZZZpBkyb1GBm2Ng9NAEnS/dhBbzpqOAgbW++DbeVUloAzLKGNr4bbWA8T4NOn3V2vd6d4k/bDR4HB7UZmcGIJ9njPezeKwzgPlrPVYvFfvO83hpVcyG56ZI2BkI8n6edu+TpkH/sJIvULQTL616KJiGZVWQn3Jc259IE3pOSrR9AcrT8Fg/O2D2dFui01ZJoeth0l5y56DJPmt+7VpcyzK/iBtBva9K+UeOylnxhbqxQjdIT+BszKYnUb617fWk2RkDyFog94J8ZMs1SRN66kbTg3pjyYg83+lr8fjfKLL/VKTl/rTu5ZAQduom0jJqoCy9c1yXxPTWUrUeq5eKfu8Wh6evwDsZX3vspVWszUuGl9YDkbDzY4HtfyRN6JmBZgBYsQLn2/RxeOqh2HX+PhIud0dnRbI5BT0SX9/PMENm4E0o3YYnYyw7YJoeUMPkZUkzUBbbX5fCjkj5As8ToGqwcgSe/8QXa2iFb5b5UO+tzW1ZV/9kmP3TWrR0V51OmtBTtn1TBcdcVQ2PHaMnKUNQtdE5FfXGOpU0m51I2KkLAdbG7hqedlhoEWl5N1GbnuECDwgsIlBWHJ63MJudfJqdzPJ++v+LoG/g55HDtbqIcy410vIBtf6+GqGg05cf0vL7kzVoqQGfQ5pNzwrWx+tRm1K8tLKMaTHgJBOqkmP6zLbX3TRW2vjL/EJeLORC5ivPxxftxVpfkDa+oV8G1ehkuy73xNfl5VqPNTHmE6A6NjwZx1kAnd4anfGPFZXRtr8uNDsZY3cbnnZYyJ9Lq+hIy53jtreD2uaU8hu7lfWzLkiI+3yJEmNmJc45LZfWFfYg/tmWl5M2jSU0SC6tWhf0ZX0kqCb7MtT7+DJizfYatNT0/DK+zmtbP/dF1z5fHJ5F47Z/LWB8AVgCjdOzBHXmjZVz3GV+KXWt4an3ghooy0c5rstH8XX5tNZjTYx5EarkpZXjeB1R762z0Tg9Z9t6XRgo5xize2m144LGLjkDNTJ+1ZZnADdHQs9VtJ5L6yrS0kpciYX+eKjE39gHra9V7eHWL13o6Vzm+R6ITW+1Ur6jQXJo1UMB9oiEnczpyx8TQk/SWSiHhmdrSBNyZTPUVucxW26a/j09SEZ6iWYq5X4pdWnD0yiFBtTw2LgPif5BtkSnr16zZUKzI+SJw4MG0NoOdSV+BnjNlnfY9pwBteq94HF4vLS8JzqiiUAF9I37ZNQLa7gtTyZ7tnQszs6kEn9jJ1l/3Wx9VLrQc14Fzm0+YC90ynus3e9jbX0v6sycoN4LcD+oRifb93mpfXe7J7blsOEJWEDXPCVrLq1mK+V+KSkvrVyRlfOVSntpNVLBbHjWpHFseBJjP4QSIy2jbpan0DKAVmb5nBwBtRqloNMcS+E2O14k9QDaj4RtRY7yutULVgQKj0+VWeYk+o5sbV4g9eY/hwoYMnup6H0yDHIH0X3OvsuNbf0nsntpJe65rYF77b56A3genaG5FxjcyL+xxZRgF6QkQggBNaoaeD+wewl93A/sqR8/AlaWcgbUYIQQFgI+APquCfwJWAP1O/0bal4PfINel8m1GWVuQgiLAAcBu6BTXT8BDwO3ichPOdosBwxFQ6LTAZiXpV7G9o9Ry/8vKjNyx6kt9tu5DnA4MADojr5lf45qul/LqD8VWHAS+rZQLJNRl9BudpCIQ4Fb9ONlIvL7Erp2qkAI4X5g98tQo8lMLkNDae+Gfof/B7ynuz5Gc67V3fOiHihL4AEIIRwP/HMgOj+zaBFtJwAbot8Qatx6eVmDaUBCCKsATwJ9s+z+BthGRN5v21FVBxN2hgNLdEHD4gKsjuq8e6D3xL2owQJoxj6r9wOwoQs9TnskhPAusOpD6NtFsTyEPhxXJf7fAn2pWks/TkC9HdvNC2c9E0LYAxjSH1XJ9EzsG4d+Z1+hQuykeNfH6PNidJsNtMGohMDTDZV1Vt0Q+A+FCT0TgJ3Qpx8qnG4gIlPLGkwJhBA6oeq+gegL0FRU2/RfEZnbRmNYCDgYVWH3RO/pO1FvnqaQ1O0cRwArLojOeQ1EXVo2QnWuEYJaUh6B/gdH9fG3F6edEkL4PfCPrdG3o2LZGvgfcClwYsa+JdFAL6ih62clD9KpGCGE+dDfyzX6o9/ZL9HYBJeiwk6Cz4Grgev9t7F1yhZ4AEII/VDZZamBwF+AnVErtkxmA48Ap5PS7IxB39y/LnsgRRBCWBw4CvgtamCayVdoHprrReTHthxbMxJCOAX4++JoEp6BaEyDnq20GQdsjN4nUTvgFBG5uJpjdZx6I4SwKKrxnf99YOUi2n6AJiMDdRlbN2P/dqgxB7CbiDxUzjidyhFC6AM8jlo6ZPIhmjj2c+BzEclmGeBkUBGBB1JCz+Oo1pQ+wJHoJHU0OT0CuB4Nd2y8C+xQA2FnQ1TuWgw0kMB26Nz4ZNTAJPGaMx7YSURebssxNhMhhA7oJV12EdTQZxgqzORjGLApaarbL9A3Uf8Hd9oVIYRrgaMKeVmISL40gGoKLs2osw9wj37cX0TurMBQnQphmp6dgP3RXHJjgX8Dj4rI7FqOrRGpmMADqemtQ1Gr71+0UvUj1N3y5raexjJh52mg62aosdevUSPZiHlo4IwLUFN21MVySxd6SiOEsB3weDRXtzoaUSu01sgQ9PXmXVQ6Ha+btxORJ6owVMepW2xaeBiw+kA0z0Rrmp73UUeST9CXus9Q6+jMOSvX8DjthQ75qxSOiEw1w+OVUZf1m9D/pZdseZNtX1lELq+BsLM4qtnpeggq1GxNy4vQwbY/hRrWAF2BR629Uzz7A6xkK3tRmLCD1dvLPid+3Pev0Lgcp2Ew+4ztgI8+RqeptkYNkiejL2qTbX1rVNX+CfqCMcT6mERLRsYf36vCsB2nbuhUjU7N0v9ZK/XEUcBim6FTa/lOvhNqVDsKeF4VDEeiip+KEEJYADOUFpFpleq3DukDOi0F6o1VDFH9heNNfcoekeM0ICLybQhhPXRqo8v/UGPkbMyPhkC+CDX4gLT/IUC9tMxgeQJqD+I4TUtFNTz1jHlj/RZ0GqtQSa8TmrDJODqE0LHMcSwYQjgyhPAW6nz0A/BzCOEt275gOf3XKd0g/rGdUGTjqH7ix7p72SNynAbFND3XgCYxgthBpBuq2bkUtXC+FrVNvN7275TRVyIOyG3uku40O+1G4EG1vP2WR212imErdA4c9ebautQBhBA2RRVG1wGDOqOGh5119yDbPiqEsEmpx6hTpgIsYytRNrtCEKsP0D/ePCVbXcdpR1wFzP3BVgQNCTIFtXc7kTg8yGOkggtydKKDYWiuE2Au6tbsOE1NexJ4BoIlaCqyYQdg24x+isWEmP8CPddBk0VNRl2tJ9v6Olq1J/C/JhN6vgUNItgLeAc16iqEF9Ef8F6oIVWyP8dpr4jIJ2juI7qjuSF2RWNXvYqqjV+19V1QieZU4h+v0aghnL14XGj9OXkIyjohhMEhhD/ach2LnF2J/pcIIZweQng3hDAuhDDDlu/a9iXy9+LkpNa5LdqioDYfjwNyeom5aP4vzlNyZgnHXxCVbeRwy2uTK9/N4fFxfgQWrPW1q9D13w40w++pdn4DaZkFOLP8aPUAOQ1k6fjabFvrc/LipdYFfYd4CZDureflklMTebgqnS29PRQ0geuh5M6B9rrt71hi/6sCdwGzWvsebf+dwKq1viaNWJpWw2OS+OYhhHvRF5rtQLUppZBoV8p0yn6YZuda9D8nGx1tf0LTs18Jx6pHngS+HI1GC10NjQuyMZYhL6OyEMfp+djqr0EquugXqKbMcdo1IjIT2AEYHv0orYxmqu2JuqCfiMYAuRD1xjoU2AywwGfD0ThosyoxnhBCxxDCziGEh0wj8aUtHwoh7FSu/WOtMOeSB1Ev47V6AIehWY0PI+VUsZbtf9DqF9P/jqhCbp8OMN8uaCy4H4BpthyKauo6qLnWvsCr1s4phlpLXNUo6OzHXZhU3BFkQ/u8PMVnHJ4LMiCWsLcrYTxvAXJHgce7PT7Wm7W+lhX8Tk7BMvp+BLJa4q1lNZBzQa6wZea+D0nLBHxyrc/Fi5d6Kqim5zx0ZksA6Q2yLchvbNk7XUswx+pXRLODvqudjL5YtqadGG31StKC1OjadkRDmUgPkJtBpmX8Xk+z7YvG5/lIoecI7IjOOMp+IKPzPBtGW73E97hjra9RI5WaD6DiJ6TCzjOYmvcskDEgsxNq3CeLFHieSP+HLeqfFVgAkM4gMwo83nSQ+eJjzl/ra1qh72Uh9GVTtgD5Gp1e7JXjx7GX7f8aZPN4+0fAQrU+Fy9e6rEAK6IOWuNzCBzjbf+KFTzmApFAAPpieDHISJDPbXkxaS+MAjwMLFDr61Xg+R0aCTvv5/ndfj9d6DmkgL5XRT115RSQeQU+H+ZZfTvOz/j0VuHfZ60HUNGT0Th1dwGyJMjbGTfK+XaTbGYCUCE312yQTeOb6/9KGFMvQHqa4PU0yMO2HNPKcReLj9mr1te1gt/PcmjYD1kV5BH07ehu+wc+2pZ32/ZHSNPsfA8sV+tz8OKl3ov9Di6P2jHvZ8vlscj6FTxOSvuxKMhD5Naez7X9CYHg4XrX9Nh1fANUg1PI8+Km+PxGFND/nZFmp1BhJyn0JDQ9/671tWqUUtHUErUmhLA58Gx31Ltn9Yz9P6LRfsejEZRvoPV4PHNQLwdz3RwPrCRFJhK1uDpTIxP+5NUOqD7zGGAbYu+xGag6xBKlLCAi04s5Zj1iXgxdiA3IB4K6mv8WWJs459rrqC3T6Lj5x+hU4pdtOWbHcXITQjgZuGhR1OZulTz1QdNdbIzm00Onpy+p0vDKJoSwDvBaDzSmUdc89QGmozZUFjtsHRF5PUffSwBfd4D5vgSWLmF8o9E3yHn6qOiPPvJ+gQWzRTXiT4nI3BK6b05qLXFVsgD3gk5j5ZKMh4N0TWh6nsjyVjLXtic0O9OBDUoYTy/gZetDOoNsArKjLTvH/cv6ID/Y8ZvFhgeV6bZCDf5m2jnNBB5FZZrPIU3VnVk+A07Cp7G8eKmrgmp3RmOam2K0Ew/G/9+jqGMtD5oTUg4r8vwOjc/vmFb6Ph2QXYrsO7PsHB9rYo7f0FFoRIKetb6e9VCqklqiFoQQ+gC7dUTzP+RiAzRz6M5oYtDnUV3vtsTZ0p+g/GzpIYReqMvn8ksCxwOHA8lkXGNRs/5/Aa8AG9l4/hlXadhgYCGE+dHwQrtH2zoDs3QReRc8APweTZfVh1jJ8y2aEfi/4lnRHace2QFYegAtozfnY2dUM/GFaiW2R1+A6pFuUHoqHFqPCL8PpAeCLIVj0DlFYJHlUFfk6Dk2lNQ1vhA4KYSwk4i8UuYhG5qmEXiA3wCddgH65qm4IZpb5no0PvtnwBUtq01E09DcIMVPY3VA56iXH4TeeL2z1OuFit6HoDfqSNRte6zuHofO8TYcNn11B7D7wqh71uHoNfgeuBG9sJNiYWhPsdcex3EagsNAH7ilBHI9Bv1dQH8a6lXgmQqlp8Kh9RAmSwKsWeyIMvilLRcGPiX9u5iHxu+4ABimkQqeCSFs2Z6FnmaKw7MUwPoFVl4czan1JWpQcilwLrHqAbhZRC4sVtgxtgHWX5Lcwk6S3lZvSVLCzmxgdxH5uYRj1wO/xoSdYajuNroGvW19GKncWLtTfLYPx3FqywAo/R830W65CoylWowAzT5fqBHldPRNN9k+B92g/KSAUfsZtHyYRxkCngYO0k3zA4+GEHqWediGpZkEnpJuoI6oduVE4ExUv5rsr0QGg05j5RN2InoDx8Wrr4nIsDKOX2sGg77BrZajwmpoQA7jmKqPyHGcSlLWA7t71o91x+vAGxOAewpscDcpDc/rksNg2ZgK5ScFjNq3dhHnQx10LFdRT1Sr1i5pJoGnojdQqV2FEPoCO3Sm+LvqcFKJRDe0fhoOm87aHvKf/xHxxx0qlYvGcZw2oazf23J/Z9sCm2a/EuAPwAd56n+AelgYV+ap/h3AmyWPTnnLlvlerOcDTotXj27UqNfl0kwCzxhQ499yeDWjvxIYCIT1SDdQLoRewHr6MaBBxBqRLkDnzhQ2lTeffuxs7RzHaQw+B3iqxMaJdl9UYCzV5Dbg0YmoO/3NtJzemm7bN0YNP1E74tvz9Hs3qA1pOUReLfsWUHcbYFn9uAzt1IygmQSee4A5D6MxE0phDKn51zkUrsXMpBuk7FOKZqH4Yz2reltjJjBrFmqg3Brfk4o1NMvaOY7TGNwE+sAt1o1yHmnupzdWbERVQDSGzT6Y0HMYaiyazKUVrSeEnX0lf+ybG4DZj5LKEVg0o4H/oC+NhcwmdMASSioDSzxsQ9M0Ao+IfAs8OBf1viqF69GkJsADIvJdid1MBZhUYuMyk5TWHFMDPw75f8luiD8+5l5ajtNQPAZ89TnFu1g9QkqtMxr7rahnRGQasBuaZuKNCahG5xJbms3OG7Z/d6ufr88fgCHz0KmmYn/8BHW6mYfG9FiiwHZN8EJdFk0j8BhXAfwDeKfIhm+jnlpGOfFvPgbkVVIeVwUzltSUmgCflDGGWnMVqOv5uzkqvAtcHK82TLyhEMKKIYRLQwifhhDG2vLSEEKjTkE6TtGYBuNy0Kf8+wW2e9/qG5cXoAmpC0RkrojcIiJrA+ugjhl/suU6IrK27S/mfC4Apt1pHRUq9AjwRzRmyQKk2ebkpdFfqMum1pEPK1nIyKU1ssBolSOtPlrupMycM+hLj1xYZNTMC+IxPFLra1mB7+F+QBYGOQ/kOzvH72x94fhc7y/3erfhOf2F1iND/6URzsWLl0oUMnJpPUjrubQeBFkk/l+p+1xabXQNd8Sy3BeSLX0UcQ6tjiD/KeL5Mhdk2fj6b1Prc6/J9a71AKpwA6VlS/8zmnE72w3wte3vHt8EzwBdKjCG7SKh67sCb8bv0oWubWt9HStwDeaPhJ6oJDLAJ4WdhsgGHwk7HdFQ8y+DfG/Lw2x7JPTUeqxevLRVQZUMD0f/0wNALgJ5C+QzW14Eslz6/33DZEtvo2u4I5Y1vQOaLmKo/b78bMuhtr1D4jqeU4SwIyCPx22/bK/CZlMlD40IIXRFp1f3AX0N2QX1gIpyF7yK/tcl9I93A4eISNnGsxZp+SVg/UHkDz74PXGkZTT31sbSBCkVzNX812icnR1IZZfgMXQa6ylpgBvQpqs+7ogGIdsxS53/oCmp7X5aUUQ+bZvROU5tMRfnE9FQYv1bqToanQa7TBpkKqutCCGsiprl7EnKeTUrs9GZwUGboEEFW6ucbPQrNOArcKqI/K2M4QIQQlgLOAf1+hoFnCUib5TbbzVpSoEHUg/bzdCH7e5kT6MxB83ndDV6L2yDzs9G2WZHAE+W8s+ZmUvrONSSvleizljUsPdyLCiDZrnYSESKNf+pexLZ0mc2gpCTJIRwKXDiYbRuiH045roCl4rIH6o/MsepH0zw2R79V1iO+P3yC9RHYagLOq1jWdQPRz3NexNfw+9Rc40b0feqD4GeB6EXNp+EdDgpP/lxwEoiMq7Mca4FvEh6EvkZ6Mt63Qo9TSvwJAkhLInm2lqK+AYag7qe/4QGRT6G7G8no9BwCf8SkUIjjEfH7YUqBTYAVW+sR5zc7VVU3WG8DOzajMJOoxNC+BRY/mVaT13yMpqnDfhMRFao/sgcx2mPhBDWR00w5t8EVQ1tTctcWk+imUNNszMdqEgurRDCf4Ad9kQNrv8GDNFdj4lINiV4XdAuBJ5chBAWQ2cj1gd9JdkLzXY7AbiPtKhYrwA7isj4Io/RAb0XB6OzIcmIwvPs+FfjmcHrlhDCWGDx72nd/fN7LCMg/CgivVqp6jiOUxYm9DyKpotgOTR3VvRC/QRpz69xQMWypYcQ3gNWGQGsjebgWEd3vS8iq1biGNWg3Qo8IYT5UQl5/aVRiWNbWkrIT6CqHwsO9QoqIRel6Ukcsy8aQTnSMn0iIqXGSXTaCNfwOI5Tj1gi0MPJP0NxY7nTWBnHdQ1PIxFC+BPw16WB4UBriau+QR9kJvRUxODLaRzchsdxnHrG7Kd+jUZQjl6oP0YdQypuN+U2PA2E3RyfA/0fIy1Dek4eI+WdMwpY3o3v2g/upeU4jY/97i8I/Oy/3+XTiF5azRZpuVC2AfpHc56FsC1pide2qcagnPpERD4BLpiLCjWHo9NX39vycNKEnQtc2HGc+iCE0CGEsGMI4XHUR2QSMCuE8Lhtb6/PwLIRkTdEZEcRWdWWdS3sQPsVeNYBNVAu9AJ0tPrG2hUfkVPvnIEJPTehU5xL2vImYmHH6jmOU2NCCAuikaAfBbYL0KEbEOI8mo8CD1s9px3QXgWebqDeWMWQqN8uE6+1Z0Q5HTU6vxSNmfSjLS9Fp7FOb7QYQ47TjJjm5h5ghx7A39G4Z1Ns+XdSv+c7Ane7pqd9kC0YX3tgKqSy3BZMon77TLzmYNNVf7DiOE59sj0m7LwE/CKxoydwCrATsBEwQYWe7VFTPKeJaa9S7QjQODuFBr6Za/WN1ys+IsdxHKdSDAY4lXRhJ8kvUJdq45iqj8ipOe6lhXtpOY7jNAv2+z4rQIexqEZnOvob/jWqnu8O9EMj3y+tzeYBnf13vblpl1NaIjI3hHA18NdjKCwOz+B49Rr/p3Acx6lbFgQ6LAhMRFMr3GyfM1kUfQjO0dmOBdEgxU6T0tQaHjNEWx5YBVgAmAa8h2p3upAn0vJcNNLyYFJBB18GflVqpGXHcRynukQaHjJMNtZBvSqjqHwv0cI24QLgDHc8aF6aUuAJIQxE5ZQDyO6MNQG4A7gTuAzLGLAsLXNpfRm3eRnNRVJULi3HcRyn7bAX3dHAUh2Bg9CHQbZYIiPQl93bSIWWuBk43IWe5qSpBJ4QQhfgTNRWrSNAH2AQsDAacWok8G3cZC5wMarGPBINKpjJKPR/4nLX7DiO49Q3IYTzgdMXRPM7FRJcdij6svuzrp4vImdWa3xO7WhogSeE0B84CvUwXBRVziwAcChwPCrsZDIS+BdwC2Bn/7L1sR76IhBpPV8HnnSbHcdxnPonhLAC8ElH1Me80Ej6oELPTqQ0PSuIyGeVHp9TWxpS4AkhBOA04DyyuNZ3sB2nAaGVfl4C9iPNPmcLEZlZ2dE6juM4bUEI4RLgD4eSSuRbFIehc1rAJSJycuVG5tQDjRqH5zTgLwE67ItaHn9py31Rrc3pqHV+a2yEpns1t8QN8LQAjuM4DUkIYX5Uuc+xJfaR8MY9zPpzmoiG0/DYNNYXATrcDeydpc69wD6odudLUgJNTl4ENgVEtZkrW7JIx3Ecp0EIIewJ3LcO8FoZ/axDyntrLxEZUv7InHqhETU8RwEd9iG7sINt3weNJHVdAR1uDByiHzuSJuQ7juM4DUI/UNfzcki0X6rMrpw6oxEFnp1AXapaI9r/SIGdHh9/PNATyTmO4zQc3VN/yu1EWajMrpw6oxEf7AuDxsxpjWVsOanATgcBS+rHHsCAokflOI7j1JIpqT/ldqJ41OUmoxEFnkmQFhAwK6NsuXARHQ+KP65aRDPHcRyn9nwNmiqoHBLtx5TZlVNnNKLA8yjA9XkqRft3LqLjhHDk1vmO4ziNxWPAxBG0SBlRMIm2E60/p4loRIHnWmDe3ag3VjbuBe5GT+6oIjpOTH95RGXHcZwGwiLh3wxwVYl9XB1/vMkj6zcfDSfwiMhXwJmCemLtBzyLTnE9a+v7oLF4ziO/S3qSkfHH9yoyWMdxHKctuQY0N9YTRTYcau2S/TjNRcPF4YHKRVpOMhL4pX6cACwuIvPKH6njOI7TliRzad0HbFdAG8+l1T5oOA0PgCgXoM5aIwAWBFZDIyx/CfwfhQs7oLm1jNtd2HEcx2lYzgRu/hmNYXIYuW16Rtj+nUgJOzcDf676CJ2a0JAaniQhhIHA+wE6DkPTRRSLR1p2HMdpHmwW4FwS6YLWRoMKRpmhh9NCEDof+LM0+kPRyUnDCzwQqzCXRoWXfkW0/QrYhFQCUVdlOo7jNAkhhOWBo1FFzqJZqkxA84xe69nRm59mEXi6oDbLGywN/BtNF5GPF4H98WzpjuM4zYwlAt0BTRexEBpUcAzwmHtjtR+aQuABCCEsisZN2CCgubGOJy2YYIqRqM3OLag3FyrsbC8iP1V5mI7jOI7j1ICmEXggpek5A3XQ6giaLmIQGlRwEirsfBc3mQtciE5luWbHcRzHcZqUphJ4IkIIK6JZzw9Ec2NlMgG4HbjKDZQdx3Ecp/lpSoEnwrKeD0BzY82PRlB+D/jcXc8dx3Ecp/3Q1AKP4ziO4zgONGjgQcdxHMdxnGJwgcdxHMdxnKbHBR7HcRzHcZoeF3gcx3Ecx2l6XOBxHMdxHKfp6VTrAdQjIYSOwEBgFWABYBrwPvCxiMyt5dgcx3Ecxyked0tPEEJYGfgdmmJroSxVJqOpuq4QkQ/acmyO4ziO45SOCzxACKErcA5wMjbNtzQtU1J8FTeZB1wMnCUiM9pyrI7jOI7jFE+7F3hCCIsBQ4F1OgBHAMehoZkzeQ+4HLgBlXiAEcB2IjK+LcbqOI7jOE5ptGuBxzQ7LwDrLAPcBaxfQLtXgH2BUbo6AtjUNT2O4ziOU7+0dy+tczBh50UKE3awei8Cy+jqOsDZlR6Y4ziO4ziVo91qeMxA+d0O0GE4sF4JfbwCbATM0xmu1dyQ2XEcx3Hqk/as4fkd0OEIShN2QDU9R+jHDsCxFRmV4ziO4zgVp11qeCzOzgRgoXfJbqBcKO8Bq+nHyUAPj9PjOI7jOPVHe9XwDAQWWpryhB2sfT/9uBCwYpndOY7jOI5TBdqrwLMKaJydSpDop1z5yXEcx3GcKtBeBZ4FQIMKVoJEP/NXqEvHcRzHcSpIexV4poFGUK4EiX6mV6hLx3Ecx3EqSHsVeN4HTRdRCRL9vFehLh3HcRzHqSDtVeD5GJj8FeVLKO8BX+vHycAnZXbnOI7jOE4VaJcCj7mO/xs0N1Y5JNrf4S7pjuM4jlOftMs4PJAeafklCk8rkcQjLTuO4zhOY9AuNTwAJpxcPA9NBPpNke2/sXaWNf0iF3Ycx3Ecp35ptxoe8GzpjuM4jtNeaLcaHgATUrYDRoxCp6d+S25D5veAo6zeKN00AtjWhR3HcRzHqW/atYbHcRzHcZz2QbvW8DiO4ziO0z5wgcdxHMdxnKbHBR7HcRzHcZoeF3gcx3Ecx2l6XOBxHMdxHKfp+X9odsTO7aEymQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,7))\n", "plt.axis(\"off\")\n", "for i in range(len(a)):\n", " myplot(X[0,i], X[1,i], a[i]*len(a)*10, 'b')\n", "for j in range(len(b)):\n", " myplot(Y[0,j], Y[1,j], b[j]*len(b)*10, 'r')\n", "plt.xlim(np.min(Y[0,:])-.1,np.max(Y[0,:])+.1)\n", "plt.ylim(np.min(Y[1,:])-.1,np.max(Y[1,:])+.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the cost matrix $C_{i,j} := \\norm{x_i-x_j}^2$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def distmat(x,y):\n", " return np.sum(x**2,0)[:,None] + np.sum(y**2,0)[None,:] - 2*x.transpose().dot(y)\n", "C = distmat(X,Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the optimiztion variable $P$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "P = cp.Variable((n,m))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the set of discrete couplings between $\\al$ and $\\be$\n", "$$ U(a,b) := \\enscond{ P \\in \\RR_+^{n \\times m} }{\n", " \\forall i, \\sum_j P_{i,j} = a_i, \\:\n", " \\forall j, \\sum_i P_{i,j} = b_j }. $$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "u = np.ones((m,1))\n", "v = np.ones((n,1))\n", "U = [0 <= P, cp.matmul(P,u)==a, cp.matmul(P.T,v)==b]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Kantorovitch formulation of the optimal transport reads\n", "$$ P^\\star \\in \\uargmin{P \\in U(a,b)} \\sum_{i,j} P_{i,j} C_{i,j}. $$\n", "Solve it using CVXPY" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "objective = cp.Minimize( cp.sum(cp.multiply(P,C)) )\n", "prob = cp.Problem(objective, U)\n", "result = prob.solve()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An optimal coupling $P^\\star$ can be shown to be a sparse matrix\n", "with less than $n+m-1$ non zero entries. An entry $P_{i,j}^\\star \\neq 0$\n", "should be understood as a link between $x_{i}$\n", "and $y_{j}$ where an amount of mass equal to $P_{i,j}^\\star$ is transfered." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that the number of non-zero entries in $P^\\star$ is $n+m-1$. Beware that we are using an interior point method here, so that entries of $P^\\star$ are nevery exactly 0." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of non-zero: 138 (n + m-1 = 139)\n" ] } ], "source": [ "print(\"Number of non-zero: %d (n + m-1 = %d)\" %(len(P.value[P.value>1e-5]), n + m-1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the solution coupling." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "plt.imshow(P.value);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the connexion defined by the optimal coupling." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "I,J = np.nonzero(P.value>1e-5)\n", "plt.figure(figsize = (10,7))\n", "plt.axis('off')\n", "for k in range(len(I)):\n", " h = plt.plot(np.hstack((X[0,I[k]],Y[0,J[k]])),np.hstack(([X[1,I[k]], Y[1,J[k]]])),'k', lw = 2)\n", "for i in range(len(a)):\n", " myplot(X[0,i], X[1,i], a[i]*len(a)*10, 'b')\n", "for j in range(len(b)):\n", " myplot(Y[0,j], Y[1,j], b[j]*len(b)*10, 'r')\n", "plt.xlim(np.min(Y[0,:])-.1,np.max(Y[0,:])+.1)\n", "plt.ylim(np.min(Y[1,:])-.1,np.max(Y[1,:])+.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Displacement Interpolation\n", "--------------------------\n", "For any $t \\in [0,1]$, one can define a distribution $\\mu_t$ such\n", "that $t \\mapsto \\mu_t$ defines a geodesic for the Wasserstein metric.\n", "\n", "\n", "Since the $W_2$ distance is a geodesic distance, this geodesic path solves the\n", "following variational problem\n", "\n", "$$ \\mu_t = \\uargmin{\\mu} (1-t)W_2(\\al,\\mu)^2 + t W_2(\\be,\\mu)^2. $$\n", "This can be understood as a generalization of the usual Euclidean\n", "barycenter to barycenter of distribution. Indeed, in the case that\n", "$\\al = \\de_{x}$ and $\\be=\\de_y$, one has $\\mu_t=\\de_{x_t}$ where $ x_t =\n", "(1-t)x+t y $.\n", "\n", "\n", "Once the optimal coupling $P^\\star$ has been computed, the\n", "interpolated distribution is obtained as\n", "\n", "$$ \\mu_t = \\sum_{i,j} P^\\star_{i,j} \\de_{(1-t)x_{i} + t y_{j}}. $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find the $i,j$ with non-zero $P_{i,j}^\\star$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "I,J = np.nonzero(P.value>1e-5)\n", "Pij = P.value[I,J]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the evolution of $\\mu_t$ for a varying value of $t \\in [0,1]$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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SBLxOEVxX4DNomORIB3qz1GZZ2EmOcJfLTHFzg6Lnalw5lC+G820lsWhvCCGEEMLL321onmWqFRZ3u+EKi80ylWLdqVu3ZCNSSnunlC5UlCS/A38oH+eklC4sKw72xC2oVB7sVpY96q7K07pRxnvYn1SC1L6ObxekoJfe9nW8fR2/4SVe2cO29UhK6bCU0k14GBfgy/gWRg4xeqMgRVGx8EBvNsRoiiGAJ23JNoXNF2EqhBBCCOFlLuc8B1dkrf7qSlnnI8Cy3Pb9y7dU8YlU+Dj+gQ+g3zA72sGehhWV6PqVr/8jpfTxlFLq5nDwayya72kzPNjthjNNqcyXWkERSOZ5UqO+XuH13e67t9dr1Lfy9FWbaFOPpZTeiZtwZINGu9rfK/yTAYahWKeqY5Cq7qvOBAdXnp68pdoUahPD/EIIIYQQtg3n44Sy7HlP1pn68hY898fwFZjoMHs5otK7Ahab7SG3muo2le3w1ZTSIIy0YTjgvJzz0pzz6pTS1/Glm/zA65xprMntTphlM01xox9UXroM71lhIRhvv416pDrqpbfx9qsstHsCvlrzN1BKKR2GH6J+b6+3j+OqgW2RZ6ywUJMR3R6jzfvdVxMJz7sojR5CCOFlJaU0UFGOuO1cjB6XIw7h5SyldCwuR9+kzhh76mewVZaYZWqlR2q1oqz2dVvonHsreqQc4T26q8D3qLvd6keVp3/Ga2m3IFbG9fhO+fhDvAOGG2t3B+pnkFWWetRdlR4p+Bn+FbOUC/RWhvhtyn1+7z5XQyum4mpcmHN+apM7d6Ic2nfk3l7vAG9s997NLva4v3iV49RrsMJizdZq0NsAQ+zqNZqM8KAblRX8luM/cXHOed7GZwvPtwhTIYQQXhZSSpMUC2W+QxGkKlYo/pD6Ts55ytZoWwgvJmW4+RTeqP0opWZF0PpyzvmBLXi+C/GB4cbazq4a9bW9PYy2+0YLB8PtLinnNFGnQX+DNepjnTVWWqJVc2XTpxW9Z8MVQWloJ6dvLbf5XM65NaX0c5xBMZTuUG/fZPv/5OeVnqmOx/0czt+cqnllsYmHGzR6u69Ue6RaNHvaPzzkVnM82u0xxphosTlWtp/7th6/xEdzzot62p7w3EWYCiGE0KWU0hgcoagytQy35Jxnbd1WbSyldC7+R3kHu6/dNBis2RKrPVbZLONjOeevb6VmhvCiUi7ke5gNv9+3bukFelNK71GsebRRahpstH29wS5e3e71xWa7zOfVqXeaL2gyvPreGis84k5T3Wa5amG9b+PfFeHwGMXcpt6Yj7mKkFXpqd4eO0Ojvs7w33rp3WX711vrEp+wzmrHOFuDRtP82eP+qrik+I+c85c24/s4Cxfsan9Hei+KoX3X+Xa7cFSvl13sZ6Sd9dLbemvN86Qn/FVLGSbrNDjCezzmnnLeWIZp+Kec84yO5w7PjwhTIYQQNpJS2hefVlSKajsLugW/wyXYTTFefzGuzDlPe6HbSTVIfQ2GO9VIb9HXLtX3V3vCPJdasKFy8Lk552+88C0NYduSUvoMvgh9NdnN/tUhhY+5x+qy6vp+TrKP49rte7kvWmiWk/ybUW1+nyuyVo+62+1+rlULRaA6B4MVPdQfpKhssVG7JE1GWGreJof6VYb4jbSzk32y+vp095VzsXIrdunpkL+U0r/jy6/wT/Z3qhbNfuUz1SDVW3+vcqzdHahPuw72whorPOouf3OdtVYaYZzjfdQqy/zRdy02myJQHZRz7r5sY9giIkyFEEJoJ6V0Ei5Fb+oN8lqNRlpnnqXuUOSpTt2IM2udR1CLcmjfA0jjnGdYN38ULXS1p5xHcft2cs75oRegiSFsk1JKp+OXSXKg00x0mDr11fdbtZjqNnf5tSw70vvt2qaH6hrf8IxpjnOOMSZ2eZ5nPOw6364Eqv/AezAemow00aFG2EkvfdzjCs942N6Otr0JrneBojz68fb2+nY9VOut9YA/lnOlkmOcbaxJ7c5dmd+E/8w5f6qH30u7nqkilH0fDDTccT5ikFGbPM5Sc13rm5ZbaEeTHOMs66zxO1+tBKqf5pzf1ZM2hecmqvmFEEKoKnukLkXv4U62vQ/p1WaIzXoLzPY9C1yJOiO8SavVFrtBqzVH4c6U0kEvYKD6MNJwp3YbpGCY463wDwv8NpX7nfVCNDCEbU1Z1vyzcKDTTHLkRtvUqa++fqdL/c01drFfdQ7VmqKKebdD8GAHezrE293mJ/B51A031mucYgcTquXF11hhjseQ7OVwAw13sLf6s1+6z9UedJPx9tPfICstNd291lmN5GBv3ShIwQQHV8LUCYo5aN19J/3xNuV15yl/s87qaln33vr3OEjBIKMc5xxX+m8zTTHDg3byCq/3zy71WeTTU0ofj6IUz79YZyqEEF5kUkqjU0qnp5Q+UD5u9wKe/tPKIDXWp9sFKehluLE+bbiT0Wq9+cb5nMmuNsA+MJryNuvzrKza9w4Y6S092qfNdu9MKW08hiaEsCUchj37ajLRYd1uuKdD9dVksTnVwguLzbbQLA16G2L7TZ5sJ5MroalujIlO8DFjTGy3TtMCM7VqNsp4A8vr2kSHOcbZRtrZOqtNc7v7XG2a262z2jA7OsbZXX6GgRuuj7uklMZ11b6U0qF4SnFt3JOk2Tr3u9ZCxRTUVzm2x0GqYpBRXukYMLUs2DHIyEqJ+EbKSVnheRVhKoQQXiRSSnunlC7FDEVVpgvLx5kppUvLClzP5/nH4CTqbe9DnVbZophvsL0Pod4Sf7LOXA0G28VX1OkDR5cVq55ve2FAX7u1myPVnb521deuFJPR96K6mOipKaVrU0pTysdTe7BoaAihc0fCbvZvN7SvM/Ua7GZ/MNsjYIpbVPZvs2Bul/7melmr4cY62oc67c1qthY2moc01iQn+6RTfdr+TvUqx+mrCRzozZ32SFW0KYDRF0+mlK5IKfVpu00ZpP6I4SOMc4T3Os5HJHUe8EcLzVSvl90duMnP2Zk9HKReg5kessx8sNeG8Bdh6gUQYSqEEF4EyrVf7sZp1Dc0OchwJ2tyEOobitfdXW73fDkCdYO8dqMeqY56GW6Qg9Bipq/JWjUYbIijK5ucXPkhpTQ8pXR0SumU8nGPlNJJKaXuV6XctAHQYPBm7dRm+4FlYPqBohz0sYqAVVmH5wcRqEKoSRP06+HvZj+DwDqrPerualn0TfVqwVS3edCN4DVO6XJYYEP5emX4YEfDjfUK/+TVTrKHg8A0f+723JX3K+ELp+D6SqAqh/Zdjt4THOwkn7Cb/Y0x0WHeqVLgcBf7dVpsoif6GGC8/ZDd5TcedKMVqpXRx8U17PkXYSqEELayssfpcvQd6jiT/c5uvmUnn7Gbb5nsd4YWla764vLnsYeqCRqN7NHGvcrtlrjZU86TteptbOXtISmlA8o1XZ5R3Jm9onychivxyHMMVCug2ZIe75A1W6ta2f3zuA3vS3ob41x7usQY51Z62N6n+OMohLB5lsGqHv5urrIUPOvx6oK9+zvVMGO63e9ht/uzX6AY3raDrjvEh9tRnQZzTW/bo9SpPR0iSZ7wV9Pd1+k2093ncX+VJCf6uBF2qrx1GL5VloT/q7JH6mBnqGvzZ/fuDqwMxzOyqNRes8r+T/u7u1zmdpdU3uqlWPQ4PI8iTIUQwtb3aWWQGufzGjuMm280yjifbxuoupzonFJqSikdlFJ6ffnY1NW2nVgG6/RsvvL6cruk0SLXetaPrVVd2mQ/3IUzSI39vcIgh+ltXNtDDMEFz+HO6RSsWO0xqz2xyY2XudsDjrVOdRmdg3BI8Rka9DVeP3sY5W229+HKNu+vsW0hbMtuhsfcU6my16UWzR5zD1hQXj/2d6q9vb7b/ZaZXw1SFHOvUjd/1hY9OPsie8it3R57oOH2dYIsu9EP3Oxisz1iuYVme8TNLq6URbePEwwysmPFwTPxQ+wJkxzZLkhVNBY3bTZZZGNTepXH6W+ISY60s33Ubagxd1NK6U3P6QShW1HNL4QQtqJy0cxTqbeDs7qdp7SDsyxyPVrfmFLaru3immVv1Vl4O/q12XVV2Tv0fznnBzbRnFvQstQd9est6Hao33oLLHUn6u3kU55ynrl+ptW6yiZHUmeUM4zwZr3LSeTrLfaQN2kp70Qrhi8+qihpvFlyzitSSj/DP89zqZ26Kaa1zN0ecw5a9DHecKfobYy1Zlngt9aY7jHn2M03NTnAQPtWdh3b5UFDCF25DQ+vtmzPqW7rtJpfxcP+VK43lUxwsL0cvskeKYrhfVmrPgZYY0XbnqEuTXKEx93jQTcaZRc7e1WX2w42uvwpe9xfKlX7NjLKeM3Wm+5+MNAIy83X2wBrrVCnwfiiOM9GKkMP15fzuWq13how1mQHlUV2VlvuPr831W2NuCSlNDPnfM9zOlHoVPRMhRDC1nUYGprsv1GPVEeNRmlyAMWNsMOpFk/4OP6BD6BfX7sb6DX62p0iWH0A/0gpfby7XqCc8yz8jhazfU/W+TqEWTbb99BisEMN9Qb97KnFcrn6R0GdXXzFGOfobXurTPOsn5rnV0Y4zRj/zzjnKf8z9JmU0gE9+rY29h3kBa6w0NVdtLfZUz6PFiOdbqJfGeWtBjvEKG810a+MdDpaPOXzsmbLNwztmdHpQUMIXcrFIqZfgLv82hQ3a9HcbpsWzaa42V1+DQ5ymkO9vUdBqtl6j7gTNJb3jiq9M90ZaWf7eEPZ43Shu/3Gsg5D/pZZ4G6/cVNZlHQXrzbZUZqMqIYfVNt5qx/7sXMsNRcsL4tA9DWwbF8f9Xpt1JYFZljgaTDPk5tse3cq+/dvM0etr4EO9rbKvLNGxQiI8DyInqkQQti6NnOeUnWKUWX43sfwFehnT33srLftDbSfAfa1xpPm+7X5fqOyHb7a8bgppUEYid/gDQtc2Yhu15lKGm3nvZJkmDdY5WGKFX3rRznDYIdb6g5z/MBKUzb6LH2MN9jhlhQjgs5SFODYLDnnKSmlj+FrTznPCv8w0lsqFfvAPL+y3nx9jDfGuRsNBUrqjHGuZf5ijeme8iVLygntuGhz2xRCIOf8q5TSLln+UrGO1HV2s79+BlllqcfcU/ZIFTqGre4sM89aKzUZoa+BlplX7Z3ZlH2dAO53jQfc4AE3GmW83vpba6W5plPeSNrHG+zrBKlcm2qaO8wz3WyPVkuaV+aFDTTMCOPM95TlFlpiDlhnjRbrq4FqvbVu8UNP+Xu1TU+41wHeVFMRijVWmO5eJLt6TSef93jT3KFV8/EppXEv5KLq24oIUyGEsHVt5jyl+dX9yqF9lYBklYcrgcYcF+ljZ6OdaaxP6m+yp3wOvpJS+kPO+YGUUr2ict2HcQztxxgucKUFfq+o7jfCevPKoX0tkkbjfVn/YkpA28CVSEY4zTyXmekryOoNMMTRehlpvXkWu8Ea063ZcEf2tJTSR3PO3c8M70TO+esppYyvLfDbtMBv9bWrBoM1W2K1x8Fwp3Q5pyKpM9zJZvm6RRt6uC7Gbze3PSGEQs75/JTSE/iP1ZZNfMANHTeZiqvxb1PdZm9HdTvvqWJdGZz6GFDtjZnvaaOL3vhuJcl+TjTWZA+51RPuNbfDnMtBRjnCe6qFHR51l9v8VNba6TGL0HW8pE7W6j5Xu9816tRr1Wy6++1mf+utdY1vmOdJvfSxh9da4GnPetyj7rL3hmqoPfaIO7VoNsZETTau59NXk7Eme8rfEk7Hf232SUK3IkyFEMLWdRual7mnYZ253Q71W2euZUXnTTNuxe8q7zUYZpjj9DLcegssdK01nvSkT1lrptHeZ4UHLHA5fDildJ9i2MdOkPTSy0j1+mux0jrPlEdutbQsU1yoN9gRtvPeapCi6LEq1fW3tzWmV4PUaB+0nXdUKuSBMc4118/NcWHlpUa8kg1dQpsj5/yNlNIfFcHw3as93mbeWJ1igeFFZvm2deao01e2Vp2+Go0y1DF6bxheNB8fwm/L4UohhBqVPVSXKoY0H6noVV+mKFJxm+IX9C3LLdjpUXdXy5J3p1K4YY0VXukY093nYX8y2et6FMYohvyNtLMDvdkCM9zix1aXczmPcqZhdkRR6KISpHb1GjvY0zMerknRZlYAACAASURBVM6h6m9INUhR3JjZx/Eec7flFoIpbraLV7vFD83zpAGGOc5HDLadp/3Dsx73N9fZyd6btXDvEnP93fVoV559I22G//1nSmkXnJVzXtflDmGzRJgKIYStKOc8J6V0BS2nPeP/jPP5TotQZNkz/o/izmhlTaRXU2dH5xrhTVKbS/oOzjLfb8z0dbN9V29jjPSWSph6Lz4IjXYwwpsMd0K79Zrm+bWZvqKPXW3n7VqsVK+/gfbbKPBlud18pXqDPO18lSC1vTM3+jz1+pavZ3PKuQkYv/nfYJt25PwQzkopPY6vD/RqOzjLM75ruXvMLUsud2a277WtNDgClyoW4fwRLs4596zrMIRtRNmz/QacofidmY9LcE3OuV0Jv/KmxK3lPx21pJTOx/dv93MDDLFDmxs1HTVbb4EZ6vWyzHx9NOlviKXmeca0jlX1NqkytG71hqI4BrYZ2jzNHdUgdaT3oVgoN8ue8Fe99N4owNWpM9xOlluol97me8qNLvSUv+ulTzVIURSN2NEkM01xrW86zjk9ClRLzHWdb1prJZjjUa1aO60auLIcilj2nL0fUkqfUNzAGqBYZuLvOedFG+0cNikKUIQQwtZ3PlYvcq2nfM66ciJzxTpzPeVzFrkWVuPL+Czs6Fwjnd4uSFGU+h7pdDs6F8xxsT52rhSl6FVU4fucSX5rO+/YaOHb4U5Ub5A1HtNgkJFOM8wbqkEqa7bErab7d1OdZpVpFPOlrHC/9eapN8B23tHtBx/lHeo3zBP4bkrpM1tgkck+0M9EjcZY0WadmKS3YY431ieN8wVjfdIwx0sarfVU22M0YDfFdz0rpfSTlNLQ59iuEF4WUkqjcA+uUlTkPKJ8vEqxuHjPu1cKF+HbrVpc59secedGQ+pWWOQel7vEJ9zqx1qsB1PdYk+Hgntc0eO5UxXrrXGPK7ChiEXbdahWlL1LHQNeJbStsGijtrZqrRaX2NNhkvrqHKk9vLYapCgCzlHONMI4yy10pf/2D3/scnHhNVb4hz+6yn9bbqERdjLAMCssMstDG22/2jIzPIjkKB9Qp55iyYc5uEnx7+wmzE4p/Til9OpNf2uhrRQjGEIIYetLKR2rXLiXek32L+cpzS+H9rVSBKk3lo+3NBhmb9dsFKTaarXeg47XbKHdfc8cP7TcX2zvbKO9u9s2zXGx2b6rTj/jfdkgB2u2zHyXme8K6zuEvo6GO8VOPSgg9bTzLWg/Nek/cs5f2uSOXUgpnYULhjjaKtOsNVO9QUZ7j2GO3yg4Uiz8u9DV5viRFkv1s6ftvM9CV1nqz8oJ6dPwTznnqPAXtlllj9Q92LeyrtEwO1popiluqvSC3IsDOvZQ9eC438C/UPQOTXSoPbzWfE+70YXVEuLD7GiknU1zuyx7jVM97E+WW2CMiY72wR5V91tvjRtcaJapGvU1wjjPeNheDvdabwV/caW/u65dzxTc5CJP+CuKOVP7OF6dOq1a3ef3/lbc/NrIaT7fLky1bcvlzresnD9br8F4+xlpZ730sd4a8zxpunurxTp2NMlRznS/a/zDH+3rBPs6vt1x/+wXprrNWHs7xllu8SOPlbV+Rtq5Wlp+nqfYUMH1PHwhhjn3TISpEEJ4kSgLSnxKEZjaJqRmRdD6clk44gv4j1HeYYxzNnncWf7XXD832vst8SerPWoPPzTA3t3ul7V6ynmVHjF9jLfewuoaUb3taIQ36meiev20WGWWr1d6qboc4tfRbN83x/cNdqQlbkFuxS61Vp1KKU3Aw5W5Uo12sJtv69ODJaPWmOExZ1tntiavtatvWOsZT/iYNcUk9Wk4KOe8uJa2hfBSl1I6EVf1N8SpPtVurs5qy1zh/EqgOjHn/PvNPHZS9Jq0mc9ZV+35GWuyVznOSDtLkofd7nY/r773rMets9owO9rfqXYwodM5VFmrZ0xzjyssNHOj9+vUO8a/GGNPy8x3qc/KWu3i1caYaJap1SBVUa/BUGOstswKi4rTUFnbbxUOHGSU451rmtvN8Zj11uilj9F2M8EhHnCDB93Y7jN38i3Z0V4mOtRYkyV1/u56f/FbezvaAYr1eVdb5j5Xm+o2dRqc6GNG2tkUN7vTpXa1vyO9t3rUZeZ7yC2muLmyLMZ5OefP9+Tf27Yu5kyFEMKLRLmo7unlQr6H2TBR+9a2C/SWr3e7qG5ble3Wmm21R9Xpq28PpicldcY5Tx/jPOun1pgO+plgB2cb6DXt/lApKudtqIq1fjMrFPY3SZ1Gi1xfp1gbq+tVeLtqc0r9sAgP0jq53qAeBynoY6zdXGCa91jmDk873wB729mXPOkz1nhiAv4X79rctoXwMnEGTHLkRkUP+moyyZGVYXNnYLPCVNkT8oOU0g8VFUbPzVqPLM73Ogd6U7trzp4OQdH7UgxlK65bC810rW9qMtJEhxpuJ436WGeNBZ421Z+qPUCYjk8q5qGOxehWLROv920THGKCg73W6e7wS0/460YhqqJFs/nthwp/Iuf8VSjX0btrrZV+4d83CkqzPeJ+1xpqh+J70GqgEXbzGqstt84qM021zioHeYtJjmi3f2Xe1AwPatFspSVmeFCrZnUaHOm91cqE88vhh4M6LMfRZIQDnWaUXd3k+7J8Xkrp2pxz5x84VEWYCiGEF5mc8xz8qptNltGugl63KtutLsPQUMe2nafUraTOCG+ywJXWWaHJAcb7qnp9N9p2lUdk6/WxqzUet9gNxji3020rWqy2uCyX3OQ1+ptoUVGd6pyU0j6Kal/dFoBIKfXH2xSV/F7Z9r3R3tPjIFXRx1jbebdnfNNCV1noKiQD7FvZ5PSU0sejKEXYRo1AtdpdR8M2/L71bPG8TpTDA69JKR2CI8eavFGQqtjTIXYwwVR/8og7qsGCYj2qu4s19jozAxfiu2VP82VUhxv+T6uW/zfVraZ2UjOjXi+vdIw9HWqRWZ5wn8WesdR8azfMdXqfDWv6NVPMd0rq7GwfuzlAP01WWeYxd3vK39v1ku1ksv2cWH1+p0vLxY/bF+Fr1Wq6+8ESz1piw3237ezqAG+qBql5nizDYLKb/Tv9Usbbx1xHetBNFOv/vburLzAUIkyFEMJLSPkf+jUwzy+tNdswxxnkYKmYWNxOq/UWug6sLoffjfDmzTrnfJdZZ7Z+JnQZpIpzrQa9ba9eHytNMdfPux3qN9fPtFihv8n6mWBtudAl+uGfyn8+n1K6GB/NObebXZ5SOlQxBHI4RYn3On20WC5pNKzD/IGeGu4Es31Xts5AB1jhPivKhTHJjYqKiLFeS9gWzYeFZhrTSdW9hapTCmu+2ZBSqsN++Ci8ynHdljxvMsIB3mg/J1pmnrmecLtLKG48/RHbYSCWYzZ+jms7m9NVvvbRsnfsn3G8Ihj2ZsNCvgvMcI2vW7zhmtXRHuVNl6/iIxRl1I/zEUNs327DcV5hsdmu9S0rFSOIZ3m4uthvi/VmlWsIDuywltQsD1UKZsxSzHUaiFNw6DxPecit5nnSfE97wl+1ajHBwZ2uSVWxlyM86Gbk01NK50aVv+5FNb+wxaSUBqaUDkgpHVU+bv5S3iGELrWpoHU+lYp6N3nCv5rmPdaXVafaWuByzW1e38FH9LNbj8+ZNZtb/FFiB2d328tUV77XbInRzkQyx4Vm+76WMmhVtFhdnStFMtr7oc36VuVn1gt6KdZ9ujalVJ1VXgapP2J4PxON80WvdJsRTgNDvb7TYhM90WCwIeUCmgO90mTXGuFN2kzQ/nBNBw7hpe8SmOImq4tO8qrVlpni5nbb9VRKqSmldFZK6QFFT849aKzXYL6nretwDelMg16G2sEEh1R6zprwm5zzITnnV5aPb8k5/35TxTFyzg/mnD+sqOq5Dg7xdvs50QIz/N7XLDZHP4O9ynEO926vcpx+7a85n0spjcPbkrpOg1TFENs71keqoXGJOS53vjtd6nLnW2KO/obYqc1c15UW+7NfVJ5ekHO+OOf8vzgaF7Vq9pi73elSj7lbq9Zy2OJbu/0em4wwslgqojde0e3GIXqmNkdKqQmTbKjJPyXnvKz7vV7+UkqTFH9YvEtxN7liVUrpJ/hOznnKVmlcCC8TZY/UNdi3l1FGOl0/u1vlUfP80ipTPe6jJviRpF6r9Ra43Exfrx6jwXCjNlGqvKMFrtJimd7GGug13W7bzx6SXlZ6UB87G+sTZvhvc3zfPL8wxNHVCoWL3aDFCiRjfcIgry3Pd2X1ePWatFim3kBJo2YLj1BU+/rncmjf5eg93CnG+qTVHjPTVywo1zLub9JmfdaO+ptkkWusM08vQ4z1STC/GDY0JqWUotpV2AZdg3tXWrLfFc4vq/mNtdAMU9zctppf5+XsOiiLTnwMn0P/yuuVHpkWze70K3f7jX0d75WO6XQtvnbHLIs0lMPmdq/tY1a9CQOHGWOCg2XZrX6k2Vrj7ecI71Hf5s/pfbzBLX5kunuVn+d/UD/OK7sMUhVDbW+cV3qyOmxvjiVlz1d/QxzjLPUatGo1y0P+7BeVYhd34VuV45QL8p6ZUvovfAFvG2SkY32k2x6ptvpsGAo+sEc7bMMiTPVAWWHrLLyTdrU216SUfor/KyeOb3NSSucqLhTllW0w6hXLzSzpp+gi/1BK6WM55693cZgQwqa9QRmk9vQzvRRLHjXZ3zBv8LC3W2Wqp52vQZOFrmvbI/UA9q7Te5N/hHQ0t7zrOcKp3Q6zodKbc5RFrjPfZcY4R6PR5rjISg92LH+uv8lGe381SC12o0X+UL7buwxSRaAa7QPm+AHye1NKn1NU/Brez0Q7OMd0nywrAW5Q1+7ezuarL/dvtar62mgfsMBVsvVJccf60ed0khBeYnLOLSml43H1Skv2q6zR1Ma9OL4nZdHLIPUtnA2j7W4vh9vJ3tUw9bQHPORWczzqr660zHyHescmr2WNG3rRn2sY+CBMdLgkeca0ao9UxyBFUdXvCO/xrMetKoLlMbCbA3p0st0cUA1TFUl9ubDvQx73F9Pd33YtrLtwQs55o667nPMT5RDpt/XWv8dBCm3XuVre4522URGmutHmbslXutikj6Li1AdSSv+G/+nuLmVKaZBi3G2lZ2teznlpSqmv4pf1VBvG9F6BCzv75ejkuMPxqjbH/VvOuWcz05+DMkh9rXjWT1H5c0mHrfphVcLXypu433i+2xXCy9QZMNLp1SBV0ctQI53uGd+ysOyVKT2puCv5Wyxeb15qtqTHQ99arbXWLBQL4PbESG+xyHXmukR/exviCIO81irTPOOCcs0smhxoO+/SaAfL3WuBK8sgVbmErkWDluowolaDHGyp2xsV193PwHBv9LizrTRFnf6GO9F6Cyx2Q7sQVIuWcv+2oayXoQY5uBLcDhZhKmyDcs5zywp1xymuTSMVc6Qu0cVcpC58DGfX6+VI77Wzfdq9Wa+X8fY13r6edL+bXOwRd2gywqsc2+2B2wwL/NeU0pn4M76DP+Scu6o73pm9YVxZ22bD4rsHbRSkNrS7wR4Oqqw11a/4n6ZOt+2osl1SZ0eTzPW4tVaZ5vaOmz6F7+Lbm/hb8e9YO89TvZeZ36NAtcz8ct0pa/GPHjV8GxZhqnsdglSd4nqRFP/Bn8eG8paV7b6qjXJozrGKYXDH0O5WSk4pzcAONv53cQj+O6V0Ef6ls1/88kJ2Nt6MxjZvrUspXaYYP3t3zz7q5imH9v1P8axeEaQmKv7G2QVP4PuYakNPla+llP6Yc954ie4QwqaMgH5djFjpZ4/Kj7PwI9yM2yo3eFJK12frj13g97br4VC/tWYqf3ervTSb0t8ko51pjh+Y7hNGeZsR3qyfCXb1bc+62Gzft8xdlrmrw95F5cCMha6Ura++02q93sZUnp6O3kkvS/3JSlM0Gl2WQB9njossdoOVppTznGqzUjE6ubFDUbJeG5737K+jEF6GysD0e5tZ/hxSSico5n5ORqdBqqOd7eN1uMGF7ne1vRzetvepfdtkT/pb5WmdYtjM8eU/T6SUjss59/RGyACKgDTVbdUFbzuWFu+oTWhJsErPZoVUthtpZ8c4yyrL/NpnK+HwJ4pS7vcqQuEmQ2vOeVFK6VLyOx9yiwPLOaXdeahY7w9+FcUnNi0KUHShHNrXJkgNVQSnZzGnfGzFsLa7faXcTyqcqUgVv8exNCbGK+by7YyUFIvSNRRZ6kTFqLgTldmqURHCbior22hz7C8qunbPIDXyWpykeEyNxevuSil9sexh29I+jFTccGlRFKp5EOcorlXnlM8/Ur7fT7F9TNoOoUbzYVUXHSGrPFL58Y6c82dzzrd26Cn/TnGQ33SzGGR7S91T/bllM3p5RvtAWYCi1Vw/N8XJpnmvJ5xrqTu1uQmlTh997GK4NxrhjVos12CAsT5dKT4B5vqJeX5ZeTqx2Le3pW5Tp381SMHQYlSNRW7QvFFvec80W1KWbE/V41W0WT9rGaSUhqaUjkwpnVg+tu86DCFUlUHqKmWQGm33TQapip3tY7TdtWj2WJvrU1tZq5tdZKm5XR1mF/w9pbRHVxt0sAJ+5T/82S+qPV5LN1GscFm5fl5FJYRtSmW7MeVogH6abGfXyttX55y/kHPenN4/uACmuLlaRr0r093ftojI/23GObZZEaa6dtaGH4cq1oAco+h4uqF83AELdQhUHy57o76p6JrZqQhQX1VU43xC0eN6jA3DWd6PmYpry3fKx5nl6+BwbSYWKobtfKbo8fm44ibFVYpOqo/hp+XP9YrtfKHG76BTKaWBqgtWVnqkvoFH8FYcgEMVvVTDsGu5HXh3VPkLoSaXUJRDX6/9jcL1Fpm3YVmqripoXYen13nGQtd0eZKsVYvVlrjDM75ZfX2VqT1uaJJs74Mm+LGhjpM0WOkBS91upQ3TSwd7nVf5s+28wwJXmu8yi1zvWT/ytC8a0G7JqKTBYPXFEMWEsoAFw51YDVLQ2xhNDpKttdDVPW53Wwv8XrZOb2Pb9ohZb5Gl/lx5+saU0t8Ud9huUlyIb8LslNKPU0qvrunkIby8fRGpUuBgL4dv1s4THQadrv8Ed/uNJ9yrTr2JDnOqT3uXrzvVp010mLrib6O+uKPtjerOpJTGUnSRr7FckxEmOBg84k4txfJRG2nR7BF3ohiqCE/6m8Vmd/vZFpldHUa4U1lEb5Vlnt2wGPrj3R6gC+XCu+dl2U2+7y6/3ijsLTPfXX5dWbAXzosFe3smRSGijZVV++aiT5E3WxVB6j7t16Cbh33wjA3bWaPohv1g0bF0oaJuRdvf19UYpPj9fD9laeCNZUUguYiiLOdgRbfWXUVQulyxdMIFivU92/5SNyh6qW6vtOvALTXkr7KSd9GcJeVneBh3bGLP/hSL6R2iuHse/+cLoYfKmzR3Y79eRpbV/PawyiPm+VWlt+ReHNDVHcuyt/z7SS+7+qamsjpfixUWutYCV1jtCW3Kf6tc23obay+/2WQRis6st8jDzrDefP29wspyCP6efqFeP1O8ES2GOsZA+1vunnLh3up1tZ06fbTasNzUCKdZY7oWq9TrZ4B9NBrtaZ9Xb5AJfrRZC/eu8bRp3qvFUg2G2tt11TW8ZvivSjW/dhoM0c9ELZaVwwOr3+F5+EJc70IopJQWY3BlysT7XFANHD3RYr2LnS1J3u877a5JC810uS+pU+8YZ1d7d9qaZarrXaC1GML8wZzz9zu0r7diEfCz2dBl1mSEk3zCX11Vnb/UWTW/Fs3Van5DjLad3TzsTygq8h3rI4Z2UtVvkdmua7POVKN+trOLZz1hXXFD+k8558N6/EV1UI5S+qzimoRkpHH6GGCNFeUcqbhu1SLmTHVukmrVvpGKIX3n2Hgx75Hl6//WZjt9VIPUtXhdJ4f/niJINShv0HTRjFS+/2M0VyZdl3c6P4r7dd3p1Izb2r5wFj3sY960smepcgG7qHzsg7dgfxvqaNyjCHpr2bAq+e1oTik9qZjbcXHOuebF/ULYFrStoLXevP2eaddZjZ5V0LoIk7P1//K4c+zo37VYbI6LqgvuQtJbtrZ8VoSZtWZY7i+aeliRqq3VHrXefI22s533eML/Q7G477N+ohKkdvYlFAvmZtnisrJfnX4mucoSt5jvMqs91u748/263fPl7lXcDx5pvXkec7bdXNCjQLXG0x7zL1oslfTWbJFl7tLPRHN8vxqkmrzWIAdaZZpF/qDZYo1G2Mk3rTXLPL8uewtbzysP/fnN/uJCeHl6GoPJ6vXarCCF6j4t/5+9+w6zqyrbP/5Z01InPSEkkISE0DtRepMiTRBEBWyIIiDFrlheAV/FLqgUEbH8XsSKKKGDgKCCVJUaShICBEidZFKn7d8fa+1zzsycmUxIVIT9vS6uPWfvtcs54eyz7/U8z/1o1aZVvX4ymXlm+mN6HtnCnlWFFDF9bnN75ALns+KMNgghjMa1lPtA1KjVod00Rxqg0cspSlSr3kz3e8nTNre7IUZbar4Z/mqFJnX62df7ZTryc61YbvHAq/yvSXYw1a4GGmKFpZ5yj9n+nqdgP4fBLVYMn+Ph/DLupg/FTr2QhNG5IYTrcRrZsfPM6lcxZDV+ITpU378u53q9UYip6lSkoeVCZ4eqA6OJXuW4nEtVF1Io2YgeKkaWemOs6F8xnahUdo7nalHyf0CMdL1TTD18Ab/CksoDHRdC+Nh6cvlLfpn58UeK96MTdEl5FGvAvi0Kwq9StmquE22FzxO/3L/Ax4pCx4KCnllXB60sy7IQwscg03rGnIrJmMF2NsbbDbW3Gg06tFjiTi+5wopkxPC879vcdn02oyDWWj3v+2CUoy3zQGnbanO1pB4qjXbptN8Qu5bEVK1GdYbpZ2OD7SRosELuY1NjmP2MdKh6I7VaaKHrNblDq3lqDNBirie831gnGOUtVd0M2zRZYLqX/FS7JQbayiDbm+8XnneB1V4oGWKMc5oNvb+072jHmOEkC/zBWCfoZyMb+7jBtjfTZ9FxTgjh+iJlpqAA/I+YEhtiH6nWtY5Mtafv4iNu02qV5zya95SCUipeT2xpr1zglGZYUkTqWrxxoGFWWiJDh3YNBtgkPe+1pqj4AU5yr6st9mLu2ldiuA3t6/1Gm2hp2cJ8IX6V6XjPLA/WdbU/F8NCGbHbcBd2FhsAfyzLstVVtveZdB86ITkyb688+/2P4hnslVGIqeosK/+ZRzj/jgOqDH2oyzgYJ6b29URu2T++lzFtYl+8K1H6/d0RDfG7Xzkrfa5YK1X5gPMdUcScna+oFR2wLuzlpH3lUbTTXhuNNG4SdVFPjMQnRGONg0Q3z23wcdGx+dp6svfijSGEN2dZNmc9XGNBwWuSdXHQyvcPIXwEG+KYoMEmvmy4N3UaV6PBcAcY7gCznGuR6VaaYaZPm+wbfRJU7VaY6dNWmqHOSK0WdEqRW+D3GmwImv3NKG8pbVtaEUgfZBuPOqpk015JvdHGOsEgW5bWDbOPlWZ6yhlavazGQO2WeMF3zXWJ4Q40yDZqDdRuheUesdgtMi2IUafJvlqKeK2KFsGlbZVCKr++4Q6yyHUWusE4J4Hh9jfGsebFXl2niTNOBQWva7Ismx5COBK/Rv9n/dNkO/d5/9kVTt33VTT5hhp1OrRp7Dax25nB5e2VecvH442DjbSJHT3sVhvZyvMeM8CQUipffUpcGmCIY5ztRU+a5SEtVpZE14Y2K/XBWlVu07Q0y7ITQwhfEOsj9hWFzDLxwW4yIUywjc3sZoAhVlrqSXeb45EGslOxVwjhRTGj51d9/tCqkITT7WscWLBGCgOK6jxCnpCfZ59dUPF3zjxKBdqVrjGn6v2jzfvHvVBl22LRLXQy3irea17KN6bUw2crxp8rpsB2fbAZpFNqbORtvVzU2rAvaqNIWpOQqmQqbhb3ewQniiL016K4sgVuCiEMX0/XWVBQUJ1GMeRdVUh1ZRNnG+4gRJEzw0mWuqdHV8BMR6dx0GZhEicdiKGqBa7Wz0TUWuRGM33eAtPN9PlSVAqa3Ga155Nw+oBJzjHWB9QbrdXLnvA+S93b6RoGmGyq76G2VF9Va4hMi0Wu85yvm+1sz/m6Ra5LZhMTTfEdmzpfrYHaylbGN+D/YKjdqr7nXMy1dTEHGeMdUubCsYXLX0FBJMuy6eIssEd7MJLoicdSCcM4W1Taj2eQm1o0l7NgqrKsvL3yJvZhmOYtFohzulNSZcVKS0tmE7mz3pPuSWY7m9vDsfbzfns41jibd2oo/GS5BcSdkGXZ3OTI96Ysy94gFp1PHmCIo33OwU432c42NNVkOzvY6Y72OQNiJ4ZtRplQIz5AFbxKKMRUFbIsWypa4inbn78g1iF+E7emZW4+MVI5MhVEMdUbR6fl9SqEkuiGN0004HtOdMH7llj79GBaVqbdD5XuRb3wyTQO7BlC6H26pm8ke/PP6ruQypmKs9LfQYyov0u8zpKgumA9XGNBQUHPvAeDBtt5jUIqZ7Lz9E8PESvN8JTTPeptXnaFZg9Y4QnNHvCyKzzqbZ5yupVlu/acJuyeZdmZ+G6m1Rxf0Wgn1FjsJs86t5OQimSGO9A2rjHeqUY63Hin2sY1hjsQHZ72Ea2pcDtngCmG2Uf+vBTSzHKtwQZ7gyF2N9JbS2l/433YMHsLamTaLfbH/FAXSi5aKzxR9fNZ7nFQ16Whcj8bGRTvbf1I9lwFBQXECYrlMbLTu113ziwPetGTghovejJ3pFtMtM4bLM7FPlF23KzK4+UGuHMo1UpNq9PPZDuXUvmG29AI47VYWepblbsPPuUey9fQemG5pkpL9Iu7bg8hjMEHCA5xhlE91HWOMsEhzkCwwJw30aVQtOA/SiGmeqbCWz+3P39BNJs4MC1zIVU5AzJO97qhrpyCejGV739EIfYk9hRtzncSIzgzxPS4vcUMv72xe8Vx3ql7RKorg9I4Kb+w7gAAIABJREFUxLTOG0IIfw0h3BhC+Gz6Iq+REMLgEMI2IYS34eAYJDuhL7tW4f3icwUxqt4iemucrWIGt0/XVVBQ8Io4GcZ4+1rttKEPIDrX1Rlptec87wJPOtnj3u1JJ6f6oufUG2O0txvpiJKIES1A89mdT+CCTKtm96nm2pdTb7RJvqSmS11FjXqTfEm90TKtnk7GFpWMdBgIGlLUqFa7ZZa5z1J/tcgN2jSpt4Gh9i7tt9TdWmL2wGwxBH8lLHJTqZlvTkwTvAnByBjw60RdeUKrsdvGgoLXKWni+lz4o8vXKKhmedAfXR731SHT0YFrsJuY0lOKSD3hz57voZ3D8x4zo+w+/NW0HAIDNKrTUErlW6m5ZMV+vz9YqdkI421kK61WJfe96oJquSY3+J7WaOZzY5Zlj1QZdiIaJtimRyGVM8oEE+LETMCoXgcX/FspxFQPZFn2T1ExJRaKH9dYsdRgrPj/c9dQcl/+/x6g3EPqR2LLpoOwIC3vFAVbtX+einKuXmuuKulkwfkG8cbzZtH84YUQwiUhhP7V9gwh7BRCuEzMaXyYvODhndYsGntiZNo/EwNRp4qC6v+JDX81KELYBQX/ElJflW3QSTz0hWHpoaLNEtu61hTf7uTu198Uwx1oiu/Y1nQTfMYkX7SpCyoF1Wco1X5dQArpxKtTa6hRjja5omf6SEd0E1I5NeqNdARY4VEru7RhqU/3qdr4rCQ2Ea9VZ3jJtTBaxZ9fOkeLeeb4Wn6IH2RZ1p5l2dO4PtNqhpPMcrZ5fmmWs83wQZk2oxzZqSdVTlvZDKi528aCgtc338KFHdrc4lLTfdsz7i8ZTLRr9Yz7Tfdtt7hUR0y1m40vY5Msy47MsmyGOOHx2EpLDTZCh3Y3utBdfm6BOVZZboE57vLzSlv0hcp2xEuJ4qlNiw1thhh92sxuRtrYUvP9wdc97V77eK+hNrDIC37tbH/2C/PMstQC88zyZ1f6tS9aFCdkZojZANXYBzbrIX24K1PL99t9+/bxFvw7KAwoeie3y0u/6h06p+V14hv4dN9/Ky8UnyHukFLxxYjU78RoUk9U9rutVnNVja5N4jr1bqkTQ2VbhhAOzrJsFYQQBqULO6q83+Zi8+L5dHHeWnt2EcXTC6K9++Viyt9PpLr6Eyk/zRQUFKw3BiAE/dRoWKsdazSUBEimzTD7pJqoe4x2jAmlFN7ODLGrkY60wFWwWwjh/WK68LR8TD8b2dxP1Kc0nWdLE8b0r2puVaZSwMz3207X0ZomvNpUGpm2a6tICcy06tAi026pu83xNS3xXn+3zm4/J+KFTGvtItdZVGp+HIzyVhtHndiJ1Z7PI1mrqaicLygoyB1GzxTT7b74oicHv+hJKNmfV7BMjGR9u2v/oyzLOkIIR+EvyywaVa+/Vqs87s5Sj6curMQeWZZ1pP3nhxDub7N62kwP2NKeHnK9WR6ys7c4xBlu8H0LPec2l2swQD+DBTVarfKYO3pqInwj3tOLk3Ij8nqoNTKwPK6Icr+KKCJTvZBFvinmuV9KRZfIyKq0fnsxypPxvO7RqmrUiLVXlT1bvqZ3IUVM98s18K9U9G7qgeVpXH7Oh8WZ2edFc4rS93EfnE9JSP0RR8XtH8UT6b8D0/B1/R7n+zeL7s6Hi5Gq0kc8KTWYKygoWL+sRJZZrSO51/WVKDhWo0ZNStVdkmoPRnlrr/uOLs/L9MOPVQgpGOfUkpCCZSWnVFZVWB5Xo9Llr7lLqtDCkuBhqL1M9jWbucxkXzPUXvK2Fk/7qIcd5WkfrRRSb8myrNSAK8uyl0UbeoNsa7S329DJtnG1ib5QNXo2z6+lmtpfFrbDBQXdqXjWGi+6Xj6MjiSkOtLr0zA+y7Jv9dRINsuyJ7EHHmvt9rjWiWewQ4poVXIx3O8aBFPtItPhBt+z2gpH+rQ9vatUQ9VsvkxH10bmren4l2DbLMsOWUNLmmaiwUVfWFEeV0S5X0UUYqoPZFn2zyzLTsEGYtHSm9NygyzLTknbl+DGmK72k74cVRQpeWHiVD33papkpOhwTuzz9O01jP+Wcj+oTUUDryGiiHtBrHuqzQefEkJYItoF7hKdOu8TNdbmaUgeGVvX73G+fy6q8pTFlZJYrBc/74KCgvVImol9BJZUn7HtkabkojXA5NIDRHtKPW7onE7cjdwCPf97aEoZJBpCDOtihNFhRenvha7R0XmGumJcq4WuqbrfSs9oSrPFm/q+TZ1vuAM02tFwB9jU+bb0f+qM1K5Ja4zizxZTEffPsqzazNiFsNyjGk0zzklVU/tgsT+mxr3oVIdbUFDQlSzLlmZZdnGWZduJzwCDUZ9l2XZp/RoVRxJU2yo36GwSZ5Cb0utDsFka15Urce8yi/zBN4wx2RibWGaR3/qS2/3EIEPt5T328T7jbYmQu5rOFR/i+mVZtmmWZR/uoUaqK3+ik+Nfr1SYWdzRpx0K/i0UYmotSF/0u7Msuzktu36xk1PLJXorpo58S/xNzv8JTtb3f47TK/4+W4x6d41QLU/rz6lY96QYkWpOy8tEh+JOfT6HKBVDzcF2YplV7mqVPzT8rY/X2hP5/rmIylMWB5DsRzE7hPDTEMIb1vFkBQUFnbkU5vnNWu00P40flbosZDIhRahauqUTdyZvzgub+7H2igmZOiOrmEtEc50G47Sab7YvdhNUHVrN9kWt5pfEXL7fSs94ypnoMNTePVqaD7SFqb4rRajasGuWZd+ojEhVkhpenkOHmT7rOd/p1v9qtec95zt5w144p2jYW1DQd7Is68iybHmehvcK9r0xy7IjsiwbnmVZXVoekdZXPWZqhns47l1moT/7uYVeUKefTIdZHnSTi/3B1/zJz7zgcWTt+BmmZll2W09Rs174MVrmeKRkx94TC8wxJ86DtaT9Cl4lhLX/dy/oiRBCrRjenRijUyf0MHKpaAqxXDRgeEKcnFibYvCzxVqjnKGiqcM4cYLkV8oRKaJQe5fo7bBU1EwtaVyL6Kp3h+71VZWMxy/SdfYXBdnamFA8Iwq4e9O5MtHF7wPYS4yO559bf7HEoPT/5zn40iu4URUUFHQhhDBE/LIPmuwbfbJHX+w2M31aUGesE2VaLfEXK1N9Q281U8QaqAWuMsBmtnKlx727ZDNea7Dt3NJJUOXjhznAUn/RYaV6o410hH42strzFrpGq/lqDDDEHprcaojd1eifIlIdag2xnevVqOqxU+JpH7Uk2imflWXZ19fw+QWdGvkFg2yjzlBtlqQaqeLeVVDw30gIoR+OE1MLK9OR54oPUCvFB6w78KMsy/pawN7T+S7GqQMM6dEefYE5bvD9PB3wkizLPrwu5yxYvxRiaj0TQjgJP4yi5XrVU/cuEqNL+4rtEf4h9pHacS3OlEm/0X0YWyO6EH9H5yhUbVp/AaXaiU7mFF2O0SFGjt4oir9vpf2JphSXp/XNYvrePqJQmodPiXWYvf3/tm/abzoOEPtRXSc2Ri7N7p7b094FBQV9J4TwKXwjaFhj497FbjPL52U9pNoRezht6oJO7n45S93jaR+VabO5nxlsazN8yDIParChFi/axFeM8ObSPis97THHqjHIZF/1vAusMrPbsfubbCMfNdNZnVL8xJtNmORLRjp0jZ/HIreY5bNEC+Pu/ubV3nOMmp8m5l73q9i0Wpx5uijLsvv7cqyCgoJXHyGEUeJs9ZI11D6tyzn6iQ+MbyKYYBtT7WqgIVZY6in3pIhURkwTOixF0QpeJRRiaj2TZiy/izOioLoU79U5hW87sZ7y12noX6x9ZCrnb6I4+4WK9LguvEdMBW4XI1AH4pa0rlacgLmiYvw40bRqU7FP5Y/FCZlcUOW9tUam675IFFLVitnr0n4t4rPGsXgbhotC8ir8Unz2GEjnhyHRQn5/MarWAW8s0mUKCtaddK/6npQ3PNhORnu7YfZRo0GHFk3+ZL7fWFa9/0uGR8WQ9XCioBrpSKMdVRJJ811toT/ItKkxwI7JsGKuS73oMgNtYYUnurn5wVPOsNTdBtjUFN/TYo7FbteuWa1Gw+2nwQTPODO3RF8izkzdIabrvGEzl2nsw0RVswc96UPwlyzL9lzLz3KEaETUKM4m/aMwmygoKOgrSVCdL85AV7NZbREftD5WCKlXH4WY+heQ0v3OxxlxzWTRffxE8ZmjTtm57r2iqKqM8rwSviSm/u0h1kpdgZ+mbR8Qv4PHS0ZUieNFEZZvJ6YK/j+dv8st6Tp/pSyopuIpMR1vlVhvcFgaN1a0kL9Iqq3EMfiB6mmBC8XPJ7Wwsg12TtfWIgqqRsls8GdZlp2wxo+joKBgjSRB9UkxZa3UdyG3P6+gRZxZmS+Khb/jsizL5oQQNsPV2GqN59PfDm5Vo78W8zzsLcj0N9Eqs/SzkXFOMcyb1GjQYp4nvFerBWoMNNJhRjpMneHaLLbQdRa6Lo9IzcCe+exxCOEGHDzZ1wx3wBo/i1cSmSooKChYn4QQRosPi/sqT87cgR9nWTb/P3dlBb1RiKl/Eekh5YP4PCbGtQ1iw99nxXS5FfgD3iqKkye8Mk+QDtFt7+l0vCPEydmd0/a34ze613H9FO8Xhc5vRUG0Ss+TIpso11RtSKmgfKwYoe46+3sobkjHz4VYb+/hnek6pon3jkeVa6luFVP/stUYV8z6FhSsP1IN1bvFWY2tlWdNHhVnQa7ozUkrNQI+SHTB200MQ+czRreI98GfYNok5xgZm3Ob7RwLXaveaLUGW2UWYg1VnRHaLCq5Ba6Bbr1cQghn4atD7WXTOBHTK2tTM1VQUFBQUJBTuPn9i0h9Ey7DFDHd5HpasiikiPWLq8VozsZilOePVY+1Zm4VhdSEdDyYVLE9b/J2S5f9bk7LoWnZqLqQktafWPE6nyAJqgupZ8Tnm37is9ia/lerEV0Q++F+8XluazEtMMOfpUbB/cR0moKCgvXEuloSV7hn7ZdlWf8sy0KWZTVZlg3MsuzIZBF8Mcz1Ay3p/jHBWQbZTqv5VnnWAJtrsKF2y6w2p5OQqjPGAFNVtHLoEMP6PfVy+TFalvhzyeiiJ1Z4whJ/oXDJKigoKChYSwox9S8my7L2LMuuy7LsMDHHL8+PwzViyt/JafRn6NssbAXLKDlonaz8oDG7YkxLWn+lmNr3U+UUv1pK6TydemhWYUrF37mRxWGqG2dcJoqgY/Xd8W+UGJ0iis6HKq7p5crjFJ2/Cwr+ReSWxBgbQjg8hHBcWvbeSGrNXIl7W7xkhhMtMB1s5mIjxKy6lWZ0slCvpM08Kz0l3Xv+gZ2yLHtnT71csiybh8vJPOUjPQqqFZ7wlI9Ixd2XF6k0BQUFBQVrQ5Hm9x8ghHAaLowpsbeLRgzTMFPMlLlKRflCLywTzRxuFuuy7qdUvH2qGBEiRpU+Kjb47c3N70NS+5ke+B98Of2dZwH9Wkwj7Mo+uFMUjG/pw3vJmS6mKQ4UXQA/LNZwnSumDN4Db8qy7Pa1OGhBQUEvpLTk/cQCyh1FU4khXYa14/e4MMuyO17heUbjWtESVI0BpfqnDqW2Ts3izXCxmO/7D+yp7FpzNf7aF6vxri5ZQ+1hhMPUG6nVQotclyJSvbtkhRCm4CTxsxks3nwfwg+zLOtuMVhQUFBQ8LqhEFP/ASp7vEThdLTYUHcPLBB/r78m1ghVCx52iKl9Z4m/56NER8DN0vabxczCShvjBrxDzJJbIqb2rRbFUO7CNw6z9K1mapDYJ+tOsa6pkkx8DluGu8TnoL5yl+hquKso8vYSXQqLmqmCgvVNElEn4yNi07uq1Oivo3Pft+/gU6+koWYvPVzul6xJ16db1bq4ZIUQtsY3cbDU1bcLmZjP/Mksyx5bX9dcUFBQUPDfQyGm1jMhhHqx2GeI2NztETEEtG1an/t/74Qzo7i5UllQHUKpl8qmYj34NGVTl/vFiNPTacwQMW1vHzG17zLxuaDnfjC9s5VoUvE2MdpFdTe/bdJbqxaZ+ouygHqlkalxYl1Wq8LNr6Bg/ZIMI/bC/6aleqONcrQh3qjWIO2WW+peC/xOa6px6m9KMonogG9nWfbJdbyOf3kPl4pzrZVLVghhb/GGNCRoMMJBhnmTOkO0WarJbRa5WRYno5biLVmW3fmvfA8FBQUFBa8+CjG1ngghjBT7tXxIVAI5K8TZ0Lrej7CPmNK2t1j/fAmeX4cr2lR0O75BrI0iRnZmoAnDxOjV0aLYWdVl/yD2w9pHdNir7DNVq5wueDip9qHMu0SBCO9TtmjvC+8T0/rya/iALn2mfi86UQwVQ2zX4eIsyx5ai5MUFLxuCSEcLs5MbEpMtZvgc0Y4UKhym8q0WeQWc5ynw0qDTUt9pzpgv1ea8vdqJkWk/oohw+xvos+qM6zbuDZNnvVVTdE8aCl2z7Ls0X/v1RYUFBQU/CcpxNR6IPVZuVnJAn2CGFGpLKTeAjsoa4C/06PDVN67KadGLBdoFVPeNhF7bW4giq5rRYG0TBQ53xRbx8ALoltgJhpI3I3RFdt2xxwxQna0aLE+A7+jU5+ZXEiVWBEvNNTwgM4mFBPwnCiGGtJ5+mJCsQAbpfN+RIxQXSs2Nl5jNtHFODPLsvY1DSwoeL2ShNQfpPzhGgNt5gcGrblFlOUe9aRTdFhpiD0sje53v82yrFrRZLVz12GEcs3RoizLeuo0/h8lhHA9Dhlmf5N9VejFqynTYabP5oLqhizLDv13XWdBQUFBwX+eQkytIyki9QAm8gbRke8cMQWuXgxWnaazE17OM2KJwPdEERSUaxKCmEp3itj+pWsteFd+nsZtjsd1Tu9/t3Kz3iliZs/RYv+na8VAz+/FflE5L4n9r/5WeZKXxcjbCLFA/a2YFoXerWLmIvF1kxgJu9Xa95mqF8XnIypqNPrCRVmWnb42OxQUvF5IqX0zsGmtIdotNcn/Gqnv/WkXusFs/6Ofja32AjraMSHLsrk97RNC2EZ0xHmPzk6czfg/MbL8qonmJLOJp4KGsJ3rq0akutKmyT8dKtOSYdPClKKg4JWRXEN3Uk7FfbC3+0tBwauBwhp93TldSUhNVxZSW+A+sU67mqW4tP47ohbbXBQOA9K2gWLt04etWUjdp2yv/jHd66R/qFzn/Yxoi56bavXTXUhJr3+ftiMWTX0ZXxebb365fNDFYoPgbcT0vrzG+4x07b8VhVJPJRELlIUUMQL3MLJWseiqgv3Fflnz0vJNlRtPCyFU82kvKCiIzXQ3rTVcu6XqjTbCgWt1gBEOVG+01Z5LPZ/UKs+idCKEMCWEcLv4Zf4wGmsN1WCc2tjbrjGtfySEcFsSMa8GPo4wwkF9ElJQZ5jh8bMM4uxZQUHBWhBC2DeEcJWYKjNdfJiYjjkhhN+GEPb9T15fQUFvFJGpdSCZTczGOG4TxcDFopC6UxQsWfr7YrG8Z7nohHeYco1UEM0W9hZT//I0v0GiVfk7xJKru0SB9bSYJTNIfJa5P41/t1hvVM10aoUYVLpS52jPccr1TdXI+1F5SuyRFd+uo8XUvYViSmC1iaPP4c1iTdZSUZi9U4xUDROjV78Vo1arxRTIK9P5rsgv+iYcFY+3f3pZatopitODxM8fXJZl2Yd6eUMFBa9LQgjH4Df1NtDqZRs62TgnVR3b7H5zXarFixpsaJxTNNoZzPVDL/qhBmO1eAmOz7LsF5X7hxB2Fgs2R9cYaKTDjPY2A2KZFljpafNdZaHrdFhBvAkekmXZA/+Ct98nkrvhYgyd4juG2bvP+za50zM+Dn/LsmzXf9ElFhS8pkgR82+KkxiCGuNspp/BVltmridl5TT/V+wi+nqlaOvw76EQU+tACGEHPMQk/EaMTtWLkaLtRYHwfmUDiGocJwZ6+ontVKaJdVGVDBWjPb31khwg1pR/SHUxlfOCOHH6h/T6HJzdy/hzxB5PxGjV98TsvvqKMa1iFOsMMRPQMgyOYvIJsXZsb/TkZh5E5+FviW6CmWhE8X9EK8EU6rpFTB3syi2ioAIvZlm2rs1FCwpec4QQ9sCfg3qZVpu73GDbdxvX7H5POk3XnnSbuUijaZb5uxk+qMYgHZYTXeyuTecYKxZsnoGGOiOMcpQx3q7eqKrX1abZLJ+1NPaQm49dX8mPfAhhMo5U7kf1h7U9Tv4ZweZ+ZLAd+rxvs4c8GcXpPVmW7bY25y0oeL3QpafdFNEIZyRMtYs3OMrgUr9MlmvyuDs95IZcVK2zi+jrgaKtw7+XIs1v3Uj5dxvhwrTqdFFIZcpCarDY8PZZsTbo2fR6cNp+Yhq/vfgMQvmfZohoWDFfNJz4H/xJnFj4U3q9AVaK9VUn6t0W/Umd3fdmrOEtPpmWjaLl+dt1FlLS67eL5lcbSG9sSbzmPCq1SBR8HxWjVbuLAugofEoUgXmbmyCKtoF06gvT/cGvyvqha3hDBQWvV+7G01m6P9QaVHXQXJei3UhH2tpVRjoS7eb6IahJ+yUh1Y4HQgibhBB+KTrPfEL63rZZ5CWX+6fDzPTZVGfVmTqNNnWBIXYlzsD8bG3eVAhhfAhhuhiy/454U/wOng4hTA8hjF+Lw304/6PN0rW5DO2a8z+XrNWOBQWvA0LkFDwmNsg+XizYLrlTPeVvrneBx/xJljJoBhlmmiMc7PTcCOYTRcpf76S2Dn/FIbXqwmZ282YfdoRPebMP28xuatUFsRfP3Wl8wTpQRKbWgXJkaqIYkVkl/p5PEYXOvqKuuIOUItOZB9KYZWnMPmJN06Zdxg0UjSqO13PPySvFiNMKsU/Uj1WfjNgvnetDYk+qBjFTsWvNFDGiNCkd/0J9KwX4jZiWaKZo61cXRdRKsa7rB2lcB45N43Pejl8qC8mTSQ9wkSIyVVCwLiQ3v+noMTL1sMO1eMnWrtLfRKvM9qhjNBhrW9eWIlOJ34odxm/AaGoMs0+Xfkx/1OROdKgz3Ka+Z5Atu523TbOHHZan/O3Ul3YHSSj9FROCBsPsl675WU1uz3tAzREty7srue7HmyPanxrpcJOcs6ZdSsxytkWug69nWXZWn3csKHiNkxpnXyP9UA80zJb2Mt6WGvTXYpUXPO5xd1mhCWzqjfbxPrUV7Rrud40H43eszy6irzcq2zpsYid7eZf+Bncbt8oyd/m5WR6kaOuwzhSRqXXjEcyNkaZVYmQlr6G+OC0/prqQktZ/NP19SVpOEc0ocgaKjngniLVC00URsn9aTk/rT0jjBop9nX5c5XyPiUJqEL4h1m2tFtP2Xuoy9iUxatQipiD2tQzprdiQ2PH3JLwYhRSxEXDONaKQGpKO3ZheV0bNKsfDV3VOPZJef61yxbV9vNCCgtcEIYT6EMIOIYS907Jbs6gQwpDkknWnONNjqXurHq8hfn+95P9ZZbaXYrqthtQ+r8t+V0lCaohdbesaU3zTSIcYag8jHWKKb9nWNRrtos1iTzuzxwjVSCVX8W/34T2/XbQbnTDINrZ1jcm+YpwPmewrtnWNQbYhTupcUrFvSMXunwohnJuW+6b0o+Q2GCxys7b0YLcm2jRZ7BZiisEP1zC8oOB1Q5rAmY+D6vSznxMd7zw7O9xYU4ww3lhT7OxwxzvPfk5Up5+n3etPflaKUMGW9s6jU0el+1lBd74pCakDnFRVSEF/gx3gJJtE/6Ahab+CV0ghptaB1COl4oezMr/+urT8oN7JC8Cvq1hXOVt8kWjC9TJ2FXsv/Uo0XPhVer1r2r5bGg8X6G4rnps0HC1mw/1AfM74mxiBOl6skTo+vc5t0Y/TPbWvJ+pViKBRooV6aqhV6YyVpw8eK5psHJdeV6YddnXSuk2c2Kp08+tkPkHFQ1NBwWuZEMLIEMLZYmg5z/t9CHNDCL8LIXw+hPCzEMJsMfXshbScDAv8TtatPpNxTkGthf7gUcdY6A+oNc7JMm0WuDof+mtx9mT0ELva1AUaqka4aTDWVN81xK7aLPZC6T7VmdGOyf/cp5ooTO/7wPSef43xQYMpvtWtJqveKFN8S4jR/MNDCO9J7oKLcbs4o/TFtLwdj0o3zcF2kGnxrK9WFr9XJdORxrXAjX2p0wohjA0hnB1CeCKEsCAtz041ZwUFrwmSkLoGjXX6eYuPm2oXNZ1MpMrUqDXVLg738ZKgetxdpe2DDLPhGlxEe7mWuhDCmBDC5LSsen/5byaZTRxcq85e3tVrfzyi2cde3pVH/w5OdacFr4BCTK07F4qWdsrlOu2iax8pY6QX8u15w13KkZyxorBpx+Gia9948bf/5rQcn9YfnsYdL9YtPSLVUVeQ1wCMr1j+Ne3bItZvnZuWq5XTBP8sZvP0VotVyYj8j8Ys5pG+HF9WzvJulpa/ENP5cpOOyqhcaXzFNHYuqDZQRUhd1JfUoIKC/3ZSo/AHxNmPcXVGqSsXbY8Ww8pfFlsaTISgnzQpsjG0mm9RjKZ0otHONnORwXbSYKzBdrKZizXa2SK3aI1GOIvEsPrbqDHRFwS9P5sEdSb6Amo0uU1rlVYJA2ya26bX6HwzyN/3gbg+vud4nxlmvx7NLeqNMsx+8fTR6nRfDK032mjvsKGTjPYO9bGR+ZaieYUG49QYpMkfzfTZHiNUbZoqG/YuVe6W3vPnEMLuYjPAc9J7HJmW5+CxtL2g4L+a5NJ3vvQgsZd3GW1Sn/YdY5K9vAs84o+dolMVkZbG7ntWvY5tQggXifesl8VaipexKIRwUUqLe61wEsIUb+gxItWV/gabHLvcBH1PQSroQiGm1pEsyxaKqka57riWUnH3c2s4Qr59sLLl98NpeZJY03S9spB6UDRsODAtH1QWVDek8Xm060ddzpWLtcoUm/GitfnHde9nld/AnhbrmSbiK9YsqkqufXlF9t/j4qqKMUekYzaLwb1msdbqLRVjrqr8o/pUdpmL8JE1jCko+K8nNQq/GRMH2MJQ+2izQJvFoL9JhjvIKEcb5kD90wNMZjVHApR2AAAgAElEQVRaNdpFfYogzXGe5bqnyTeaZnM/tK1rbe6HGu1suUfNcV4+5HOiw07dMPv0GJHqSoOxhtk7Rbimd9qWpftTbTSeoUshZ2pF8VPUjXCIAWlCpn/Uij3S34TS33VGmuxrtjXdBJ82zskm+LRtTTfZ1+QCbbGbTHJOSVD906FmOVuTOzV7SJM7zXK2fzo0F1Ktoqthr65YKfJ0HYY1eqOpLrKdW0x1kUZvIIq5a4sIVcFrgN2kAvCBhplS6nXZN6aYZqBhmrzkxVImS6z1STRX3TFRrc9dP4M0GqlffD571fW5S1Gzj4UQvpSWaxsp2hE2sXbtNieXg3x9ty8t6MRrLsz5HyKFR/5eseowMQvlR/hSL7teVjE+J69fys0Wfp6WH8GYLvuPwZn4TBp3uCi0vox7RCG2WKxHyvvf/g7fFyNpy0RRc2PatqV4f9lDnKjIRBe/i8XJ1C+IkarfUHXmo1WFCLovLS+NF3+F2PN3qKjjfylG0p4UJ2bfoqzvm6ReU3BJlmVPhBAux6npTQ4V1eu1aXsRkSp4vXA6Jg6wmUyLJf4kqDPaO4z2dq3mme+3FrlBh5VqDDDEHmr01+R2zf6mn8kajNNiriedYoLPGeHAqtGlTJtFbjbHV3XEqPkV4gzIr2FY58bZa2SY/TW5wwpPWGmWeX5hsZu1W6bWYB0xXY7uhZxvxbga/S1yQ2nlKs/2er5V5oAaA23hcv1s1G1MUGe4Awy0hSecqM0izzvfVN/zosstdbdFrssNJrrtTVavosN5L5ysJKS+L6QJtHq7aDTNU07X7L7h4gxxbz8cBQWvdjbM/9jSXj2m9vVEjVpb2tMDrvWEPxtnc8s1edFTJBfRyvFpAuJEUVCMF9MA+9XpZzO72creRigbey7ygsf8yVPu0Wr1fqKr3X+kz10y0vmB+CBY6Rz27RDCdTilLwY60mferwen1p5oKE9g9SnaV9CdQkytHx7GKp7oHyPIU0RB8msxyn2knt38Lkh/n5qWz8RDoRwpyvtL9TRpkM9CzEvL/PvwpM4ijfh7vxzniYLrGLER7ijRkbhZjD6dUbHPtmIvqkax/9ONogCbrvv/Qr8XXQA9Ixa7y7Ls8ThDtHy/+ByYNxauEZ+PupKl86+A27MseyId5yFFGLrgdUyKznwI2i3TYq7+JtnEefqbZLZzLXZTp306rLTUX8AQu1vleavN1M9ktYZqt8Rs/+MF3zPKUYZ4Y6mH1FL3WuDqPLWPOGPzgSzLshBCI9R1i2j3Tl26P632nMcdLytFuoP28qwz0dGnMmz2sfh+VqkxQKNdLHGHJrdrtaBqql+rBZrSXNd4p1cVUpX0s5EJPm2ms7SY62mfMNpRxjjec75utefU28AAkw2wmUZvMNcPrPAI/CqE8E9xVu3SLMser3KK42Cs95WEVE5Qa6z3aY5zUCcoxFTBfzcv5n+Mr+Le2ZW5ZrjfNZZZZLARpjnSeFt6wLWWpvvP4+7MaxivzrLsRQghbCK6U71NlWfadq1WWaauy1zHCOPt6Xhv8FZ/dJnnPTYat4cQ3pg/c/w7qHQkrVVnkh0Ns4EmL5vtodCu7XD8NYSwe5ZlLySjnH3ExqZ5E977xJrZUbC6VGbSN1risxZriPYV9EwhptYDWZatDiH8Cu+L2WbfEZvUHifWAu0rlhecJJYrPCdGpC4QvwfHp/F0zmbLa5xGp+XfxahTV/KgTB61yr8PDWKkKBMF3jOivfl3xczEu3GX+P27MV1ftQDPw6JRxE5p3MFp+XV8vmLcTBUi7Mass+/+J+LJrhgUhVQeGetKUzrGFUTV9/EqgwoKXq9sjXE1BpaE1GYuU2eYWb5gsZvUGGgDxxvlreptoNXLFvi9l11pqb8a5k2CYLWZBnujZe4V1Gs134t+6MWezeiaRdeb9orXa92PqS3dn1Z6Gh1GOMRYJ+hvslVmeslP88jTlSGEHdJkzH5i2pANvNeGTlRrsKd9zBJ3ecYnu5lQtFrgGZ+UaRU0GO3oPl3fMPuqN0qrBdo1eclPxMbqkcm+okZ/z7vAy51bYg0XH3L2wUdSitHHsyyrTFkYhVKKYlcq1m+S6jzOzLKsq4VpQcF/A3eLxdgNDfr3OnCuGa5zQcnsZZlFrnN+qW6q1WrPecRD5Yj0RRBC2FlyEw2Ciba3iZ30M8hqy83yoGf9w0z3m2uGQ5xhdJe04H4GOtjpbnSh5z3WiHtDCJtmWTbPv4cfYMIYmzjIqQZWPBetsMTNLjHPrAm4K4QwH1Op6Gpc5vF8/SwPmdhjX87uzIz26HROrypYC4qaqfXH9+PiQvxDFAw/EYXSMjEKNFH8yCem17mQ+kka//fyYRCtzpFuKFEEdf1+zxMb3FaOy4vKW0QhdSjendbNweXpOnKXnDeKzym5kBoiphT+WpzwyVOJHxQF10/T64tEsdYqpv3truQ1UTErRSmqdBSW838YJ2a83Ix70/JkMTpfElJHdXkQKSh4vTMEOqwQ1NnEeeoNt8yDJSG1mUuNc4oGYwVBg7HGOcVmLlVjoCa32cB7UWuZe1Ev02qK8w13sP4mCwaq8vPQKOYK3xNC2EC6YTR1NoFZI6nGSC6kJvmSAaYIggGmmORLRjiEOBt0Zhr8RaKQ2siZalOK8QSf1WCs5R7xsCPM9HlzXWqmz3vYEZbHiJHhDlqjQUZOUFeZuniRGI17TioWne9qM5yk2f1qDDDK0aa60BZ+ZqoLjXK0GgOITf3+nEwzchbAyooakEq6rP+weNMvKPivI8uyDsyCllK2TXXud41Mh83t4R2+ZHN7yHR41O3i/ivc6KJcbH07y7I7UkTqBozeyFaOc56DnGqqXUywjal2cZBTHec8421plWY3+L6lVYxvatTa30nqY/SqEbeFEHpXgOuBVBN1WK26bkIKBhrqIKfmbnubiA9rwwcaZmv72snhtravgdH5eEuian3GfZW1Zb2yyjIz3U/R1mGdKMTUeiLl2V4cf2/fKabm9ROFwR1pXV5jNDi9viNtb0jjjyVaFaeIzmWiIDoU00TjiJ3EqNItablTWj9NbGbdolyHlXOaWCteL7ryTU9jc67X2VRiqfgb/hfR5GKGssX7Q6II3ELUS0eI4vAdopAqpdEcXuUzugV74faYwvdDvFlsgv7m9Dqm9mHPNL6goKBMKQw02jsMTJGM+X4LNnB81Ya4MMiWxqQWBM3uMcY7oWSfu8qzVnrSKjNlVqBDvTHGO9NUFxrvTPUx+j1NrFX8Kdqa/ElLt/Km6rR4KTXwjYx1gtCluXgQjHVC/vLYEMJW2LfGABs6sdPYBmNs7seG2kum1WI3edFlFrsptyoH/crlG32irvxQszDLsndnWTZByple5DodVhrhUNu5wQRn6bBKs/t1WGWCs2znhlwQDsLVIYQ8F/sX8JKflgw3cjLtXkqRrpHeklu6n1axb0HBf5w19bXLe9qFEIZIdU0vqJbxWmZZMq3a3psNs4HtY29fzckoebmmkpDCp9NuX5WE1MFON7jsItyJwUY4xBk2spVVmt3n91XH9TPQVLvmL7fGe3q96FdA3h8vhHBFCOFaccY6TLJjNyGVM9BQk1IpR71+DvAhxzvPHo4zzVvs4TjHO88BPmRASrlu1+YuP+9TW4e7/Fx7fO7sU1uHguoUYmr98hk8EsXH3soRqn1Es4VmUSw1p9f7pO3/EDXGDHF/Q/BYrL++UnT5u1ZZUH1GtAX/jLKQujaNu1IUNbnbZ4MoVCaKEaF60SAiL6SuT9expZiBsmV6XS8Kqk+k4/5Aak8j1lt9OP19oyiqthSjaifnn8UuIYRdun5AWZY9lGXZm7BVOsEd4g33jvR6qyzL3tRTRCqE0JAabB6dlg3VxhUUvEYphS7GeEdp5ZLUBmFU1RrEMqMdlcb/pbR/dPnjBRdYZaaaVNNUb4wtXWGs9xpiV2O915auqBRUb8BVdJjtf6v2rKok02a2/6X0Ax/0V92sKq4PxGZz+8c/9itFpCppMMamzreN39vIx/SPBmIG2sZQ+4K2ktNq36gYX1lDcKtkvzrCoSY5V42BZvmcZ3zSC77vGZ80y+fUGJgibIcSBVXehPhSrG52n6ecbql7tFpkqXty8wm1hhjvNKPL/fpOVVDwH6aXvnbPhhC+EkL4cggh72WXL3eDx92lQ8/ZqrkQ+oebNHnJP9wM2soTIn/CflmWfTLLso5kNvG2INjbe9ZoblGj1t7eIwhmedCKKveDDh22sk/lqtNSfdJ6oUt/vHeJkzM7wzAb9Lrv0LR9M7uZbOdu77dGrcl2dqRPl8wnZnnQrS7rMUK1yjK3usysmOLXqg9tHXp4X0XPPEXN1Holy7Jl6QtzC09sE583zhAjQ3mqXOWX4Bkxi+T7UkTqERyYjvMd/Cjuu7l4T7pHjGr/XEzvGyN+Jw9Jx71bWeR8UKzXbqw45zvTcb4qiqN60bziTxXXtEBMvX2jeJ/8Lj4gmlCchM/in6LbH7Ge6zeieAzKWTmCWCiWd+Pt+lk9nrb3iVR4f1Z6g5Vf0pdCCBfja1mW9bURVkHBfytbEe3PczOFTHvusqd+DT/K+fYOKzTYUIMJWkpud/1t7DOW+IsmtxrjWPVdZnvrjTDGO70Q05G/L3YAf1Ozv41+2kdN9IWqNuktXjLb/2r2N3WG69Ciw3KrzDRAd0fiVWZKAfomyVGnoZuTaWf6GW8D79JqkVWeNszeBtuuZFKxsY/3KdUv01aZunhfxaYtsHGNASb4tCBo8ieL3arGICMcZJGbLXarEQ42zL429ilNbtNh1X4hhC1T/Vcz+jW7LzebKFFriE2dr94ooxxpXgxkdYvyFxT8O0l97W6WetY1GmmQ4ZZbrNnCcWKrBFCrXoMBWqzUrnUTWKHJM+43Vbf5VTDNka5zvhn+YkYyywlCLsCeFoVUZQ32iaibaPseI1JdGWyEibY329/N8Fc7OsRiL3rEbZ5xnxYrNRigRp2O+Dy2vdjQsm9h916o6I9XN8QoI2ysXoMFnrfYC5rK5RFVWZK2N5bq56szxGh7eZdb/ZAkHOf4p8mmmWwnDQZqscJMD5rp/jwiBR9ZU1uHHt7X7lKrh4rVI8WeeR8JIRyeZdlf1/a4/40UYmo9k2XZSyGE3fB12j4c3fzOFwXRDsqO3n+XIlE5F+MzWZbl0wg/xp6sOCFapF8k1lcdrvtva4sYdfqw2PD3/aLh18fEidV2ZUE1oWK/3UUhNVqsu9pbNOA7U6xjyl9fki6vchY5n7DJI1tEF8JfVGzP3hZCmCiG3U5MB8jdZ2am9/ibLMtWd/sgK88UhdTvxXxH8bPcUhR9M8aKrle7hBCOKgRVwWucrelsYBDUqjFAh5Vavdxrz6fW9KNcY6CgVp3BWkQhNdXFBtvOItdDKYWwKwPLvXQ3FsXG4+i/1D2NDzvCMHsbZn91GrVpttitlrhLjEgF1JYc/F7yU5N8qVOqXybzUqku0y+l1MaWbvWiPb3H6PxVa5DBdtbfJKvM1uQOw0vtJnqmyR15Q+HHqchJTGH3EQ4pRchyW/YRDjIxmfEscHVpfZ1GIxxigauJxaq7E32IxzoxNS9erN5ww73ZaEeVTDQayqmJ1fN/Cgr+DVT2tRttkl0cbYxNLDbXDHd7zB1gmA3t6GCTTVOrTrs2sz3kXldrttBdfm6oDYyp0rh3nM0c5qMeMF2zhfoZpMmL+cP+t7oIKUr9lHbqdqze2MROZvu7BeaY5SF/9KNcOCFoSZNSFQy1jmKqsj/eIMMstaBb3dZsD1lhSdVUvxWWmOUhBJP60AZqkh0MNNQKS4wywQJzPOUeT7mnp11WiLPra0Vlz7zxtrC9g420kYWe93c3mGtG3jNvqyzL1lmQvtopxNS/gCSITgsh/Fj0Aj+WGf27iCei+vglLuza2yBZDycb8BUnRIF0lhgdOlCcrG0Wa6cuUzZ+eL+YSTJf/OdtEa3PD604+rVpmT+cfC9eImmZicJtfsX4i0X9U7rCtKxsS/A9MbK1o1g7Nb1etDbu2vRgpDjDtR/ODyFcgi9nWdaiOmfFNzBKjModqNwD6xYxOrfgMDHv8cs9HKOg4LXAQHRLdxtqT4vdYoHfG+eUHneeHx/qDbWHTGZ1ahq+sc8YbDtQlyYZV3jSkHINQYkVne5jAVlepNVOR22TOzSlB6zuxHa9OXm/qB7c/FYru+tocnupF1VPtFtWiipl2j3tI6WUvZk+Z7BfG+Mdhtm3apRqtefNyXuwc3GXh7gdYHhFX628YfCilJaULysbCQ+3fy6mdksTbUswcIQ3G1/KJOhOS9nDZ+1yFAsK1i+nS0JqV8eY4S9u8H3tOs9bNnnR7X7iPtfY0cG2sJcp3mCSnfzG2Zaa71rftpd3m2Jat1S1sabaxv7+4SbzzZbFZ4xHxWadXWlk7fsp9Uv9lFZYUhJSm9rFDg423IYWe9Hf3eBp9+a7jFHlwW0teavouGW5JnX62cSOBhlmuSZPu1e7Nje7pEc3vw5tJtjOkCrtH7pSo9YmdvSoOzR5SaNRmi0wxGgDDFGvn5E21q7VI/Fe+ccqYrUvnCwJqUN8RE2qGtrIlsbZ3PUuyAXV66JnXiGm/kWEEGrFMNH1YpfbUWKNWpM4E/AIHuktKpNlWWsI4cS0/8d4eeuoFarpha3jEMeJdVNnU5pxuUhnMZX/NudiaW+d2afL9iYxupUbW2xHCsXHYNMq8ZnnrLTuEyq+O4NitPw0vEksB1sq9jm+CP8Yhf/Bnimy1OnBIdVEpSeOn5MKU9PW9PoK0a7daSGErxfRqYLXMCvQtR+T0Y6x2C1edqWh9qlqQrHc43namNGOscxD2jWrM9KI+P1BjLwsdot5fmmkwzul+rVaZJ5fgRqNOjQb6/0WuVGLFyuejmo12llQb6m70WGo/Qy2naXu0+yvqBHUWOSGJJ7yCRJEIXVc3qsphHBHh5X7vujHNiqnEndjrh/psEpQ73nf6bK1wzIPWuZB9UYZ7e2p31NdSu27wxzf0JaK4bE4hBAqHjQG5+8sZ6i9DXeAxW7NBZPhDjS04p7aRfydJM7mfnCB39vYJ3p8Lwv8If/z2h4HFRT8C6nsazfQUNN9q7StXn+tVVz6lqUo1D/c4q0+o7/B3uaLrnSW1Za73Y/9ze9saU/jbalef80W+rOfV6tl2lp0Dz08y7LKXLhm1r6f0urUT2mFJSUhtZ/3lyLjI4yzXzK5SYLqeGXb41dKqTfm9g6yo0M1RLdPsIOD/d7XzDPLL3zOJDsaagNLYp8p7do0GGAvx/f5hLnIbNOiOU1eLbPIVLsaZ3NzzfBwyS26k4X02nBcfE8Hl4RUTo0aOzjY3KhDj1OIqYK1JTlPnS6GS6p1s1wqqoL71pTeRoxQ4fIU5dpTLIaaIvYTmCrm2Yl1jV8Ry5BKD1rzMJQb+sXo1JvT6qHivWi0GEm6UzkyRbmGKt8+DKcoR6Y+J6bE5mycxhF7T/1IrJMfKwq7fmKq4KfT2x8ipipeLEbOjsNL+4muVwd3iVDtHg+0heo9toiCanMp5W8PepwWLyj4b+dRultrD7aT4d5ssZs86WRjHJdSxmKfqfmuNs8vdFhhhIMNtpPZ6Ts82lFq8tuIGLUaaCsrPOZx7zbGOw20uRVmmOdXWs0z0FYa7eJlP9Fini38xBPeXxFNaddgA/XGWuovhtnfFF8HY73HMz6tyW2C/moN1qZJRY3UL/G9Lk1vz8VeL/t/tSj1mVI62zIvuNT8JBYzrfrbxGjHaPRGtQZqt0Kze833W6vMMtclFpqu0RsscVee2lfJFfhkCOHcLMt+L91Y2ys8KYIamzjPCAdb5Vn9TTTU3iWHxPzaKpgoFnp/cL6rDLOPRtO6/SM3u998V+UvL+k2oKDg30Pqa1frWf9Qo9ZW9rHUAnP8U71+tnWALexZqqF6wp/9062WmueXvuDtzjHIMLs71u0uV6POCk0ecK0HuswTDDLMNt5kpI0t9JxH3Ga5pmliutiuFT3XHsIxszzYYx1WNZLZghWaEIVMNTfRHRySi6ljrbsBzI5EIbVL2VSmxHAbeodzTPctSy3wTJc6SmLq3qCqraWqUyEyL8IIHN6hvfEB0z1geuXQbyn34FlbRsHIHhqhV6zvvdDrNULh5reeCCH0DyF8XexweyqGxPqkI0SHzSOkeqUhafvDIYSv97WXQRa5K8uy92VZtmeWZVuLoe4vYEFsyzRL+r1fkNZPwDfiQ8rbREFFueYqL+g+U6x1mpuWH/n/7N13mFTV/cfx95mtwLIsLL1IkV7UYLCBKGqiJNbEFmNioqao4C8xihq7saLGqLElSqKxRgU7dlCxgLHSliK97y5lWbbvnN8f59wpy2wbFmTh83oent2duXPvDMrd+73nnM/XPx78G9hCdKR9OO4GbdAgfKo/3AHAFH/86bhC6n3gcVx98wTuOinsvz7hH3/Mb9cZ3LS/q2t8dH9bfCDUOOlFGf987PYie6TZQFkZyyhnVeRBg6EX19GO4whTwjoeZTbH8wUjmM3xrOPRSCHVk+swGMr4FoDWHBR3AEMKfbmblgymkg2s5j4WMY7V3BcppPpyN21cUBflrCKN9nT1SZ4hf1e0kFci0/iya1zwBNMHw5T4Qgpwa4pyrbUX1CiksNZOxyXhVK/ncb5hLEu5llXcx1Ku5WuOjRRSqeTQl/sYzH/pwKmUs5I1PMhq7qGE+XRlHPtyD6nkUM4qCpjiC6kQWQynKxfQkTOD6Y4H4G7yXIJvaLmpRl8tQ4gcjqQz5/jpg/G/VjdF+moBsNz33HvAUsEiLmYld1HKYqrZRimLWcldLOLiINr9fr+9yHehE0CYanLozClcSS++FymkjudPfJ8TyaIdBkMW7fg+J3ICfyKVDCoo5SUmUkkZfRhOCmmEqeJYxtGXg+hIb1r5X9mtyOEnXMX+HEt3BrM/x/ITrqKV+3cY9H4JTAKqlvN1JFa9PsVsZDlfYwj5tViGtrW0THCPuzRRP8soKf7mem4q6XwvbnZQvFa05SdcTYq/qVVzCuQq5teZhhgrTLVfYwW4Neln4e6g/xCXJDjTf/0hMCHJKX7g76AXxvweihXzeH7CDfYwKqaagF+g+QEwAUIhN6o7G1gOvIQrKF7yP8/GPR8Kue35wL++0ay15dbam3FVUUfcSFVHoKO19mY/8nU98Jgrtsbi0jiH+j18jEvty8eNZncjulbqIFw6IERb2wzHTfX7lf85HXfj6g1cQ9+xRG+iPoVLDfw3bpnH5cAiXALnIv9zS//8bX57AH5vjMmI+Zj+TDmfmClANf8miBZ3DTyzijRD/t/0swAb+G/ccyHS6cVf6M/DtOUHhPz6gBAtacsP6M/D9OIvkVGooDdUSoJ1B2nkMpB/+Ua+P6Q1I2jLD9mXuxnIv0gjlxS//7CfOtOWYwjRkjDbgh5JVPhfqEXMjNt/kV8M3Y7jyGYk/sLlPGCSMSbh7yVr7WO4NJ5pYUrZyOus5zE28nok3j2VHAbwKG04lK18zjccx7dcQiGvsoUZFPIqS/gTy7mebvwxsj6sJYM5gA8ZwD/ownn04FKG8TrduDh4b3fhUsXYyNTtplnWpoqtkYLSC+ZKXwzcb6lgA08zjzP5iiOYx5ls4OlIIUX0zpbId+FcgBw6cwKXkkuPSODEMI6hQ8zawFgd6Mkw19GAYgqZyWRSSI1Mb2tPD47iPE7mCjr5YKuhHBXpkxRoQTZDomsUfx584wMNXrBY3ufxeguNMNW8z+NYLH040L8Py6bousQ47nE3Uh4zGpaMo8AFX8RO7UsknRb0cUnpjOBk9mFY5LkSNrOMhN1itrOMr4LpkpEAHX8z/m1r7RnW2kP817d3oJACnzb2FVMJ1+hnFSbMV7wRt92eTsXUDvIjS1OBEdALt5boYaIFS01D/fMf4bZnBDB1R7pt+38o+dbaxf6rjXkujDsh/gVsuVvCNQ73n74SN1o+mvg+U6P948HSo/1wM29uxE0VLMCtUdqGW/p1LO6C4zmio1QZRAupd3EFU1/czNK+/ud3/fP/wjXu3h/ccNipMR/vY2CdWwNaWw/ft/BrRNcRXcwlsqe6DyCf/1JSY7qfwdCaA+nDrXyPDxjOTL7HB/ThVr+GyY3ulrAgMiJUXcu6A0MKORxOH26hPw/Sh1vI4XCMv2ta7YuoaNGWSaqfihLbMBdgM+/yLRPIZ3LMFL9UujGOftxDX+4l5C42ziF+DnEca+30mD5144GrcAVHPkAv/kImPdnCRyziAqrYRAbd6cY4+nAb3RhHBt2pYhPLuZ72vnFxJRsS9G5JpzO/pBvjgofOwxdyK7g9WCBfK4tlJRMJR9eVXGut/cR/jmpr7Tiid6jW4tbDrfU/D7fWjtvBCzmRpBljDgROD5HC0ZxPC79WcAVzABjIqDpfP4jDI9/P433WsySSlpdKBmtZyDT+xSo3c5lceiTcT/vo4zV7I1wJ5K9mPm/w91pHqIrZyFTuYzXzyaQ1IziZfRkBuEKg5r9ji+Wr6A2QZ+r8kPXLBoLRtXoF4RNhqjia8+MKsI94hqJ6BnmKyOej6Fv+Z33FkjHmWGPMHcaYY+varhYPA5vWsIDX+RurmEcpRaxiXhA+AbAJ+EcS+252tGZqx91ApJCagRvdaYhD/PajgGUjcBcQV9T1imT5gupaY8y9uLi/30HYN3epJD79N+gzBW4t0x9x/a1uiHn8OFzhVPN/n0n+64VER6jGQ4JEMOcQXGE30W9/IT59+FzcujKstRW+j9SN7sbUE7jR6WCx+lvA2cEO71f4hOzprLWfG2MesFRduIQrGcAjpNUyn96w/QyVSjaxJNoWhq3MonUjI4YhOtoU9LsKU0YVmwBIozOVrAMMnTiHDTzBZt6L6d+UQhbDyeO8SEJfFgdS5JoPTzDG3Gut3W4RU8zfwXz8CckYcyrQIZPeZHMIYXKAB9gAACAASURBVCr4lssAS3tOZh+ujPt76MQvWMGtFPAi6/lXpNfWZt6nrb+bHqsjZ7Ke/1DF5gNwxd5BG5naCgz7MCFhumAVW1nJxGBUqgo4z1r7eILP8SUxC9RFdiPjAYZwZKTQCROmyo8C17eGp+bzM5lMNZW0pA0vM5FNrIl7vpCVdHdt9OIU+MRRiO+NYK1daowZC0xdxbwOT/NnerI/vRlOBi0pp4QlfM4KvsFiyaAVP+JismnPUI5iAR9FUvsOYGyiNL+4NNEkFYFL8WuIIIAjjRakkUlfDmKeX8NeShEvMZGRnEkvDoi7+ROmmmV8xUc8Q2lkJlHdKaC+gAqGjy41xnyDuyAsxk1pfrjmdOtYvg3Q8cCra1jQds32oYebgOP3hlh0ALNjo3x7Nz8fdrabsvcxNGIhZNSnuLVD4TAwLJnGacnwI2GtceuqfoNbaJlN7QuTcOmeF+Km6CWqw3vhpjIuxk1x3oyb0te3jneyCOiPC7n4X7DtMmtt75j3moZbkPVj98gA3BqpPGJSS18D1GdK9grGmCzcPNyhmfSiN7fU2hcqVgkLWcKVlLs+SEuAPqnkMoxX40Io6hOmktkcTxWF9OeftOZ7FPIqy7ielgwii+Fs4EmyGUk/7qGCdRTwMuWsoYxllPi723W43Fo7sb6NAIwxrwNje3AZHTmDVdzLeh4ng+4M4YWEBaWlmjn8hApW05qD2MossjmMfrVcO63gDvLd7MprcGsOpgCtQmTSjrG05WhSyKKaYjbxLhuZGoxIbcOdl2obVhfZ7fip9puBzDO5ieyYDIFJXEwV5ZzFrXU2zC1mI09xJamkU8X2XU9akM0gDieFND7jxciaqdipfqUUMZmbg2LkbNy/vSIgMgPHGNMbuAU4nXpmW2XQKpJCuH0SYMI00Sl17a8+xphBwLxUMjib2+uc6ldBKU8wgSoqOI3raUsX5jItMtLUguxIodSSNvTme2TQinK2sdT3qQIiUejALGttrRelxpjHgF/W8xGmAZdYa2udY+j7Tf0Wd/e9A+6/z0Zcf5zWuKLuNVyriT12/aem+e0YP1/ufJIrpMCNzpyP2w8XNdH7qpe1tsxPCfzcWvt7a20Obm7eqbhpiwtwiRQxcaSn4P7tJSqkVsZsGsSfAwka9MULni8ipmdVbPMqfIF0Cu5Cxk/5e4mYqX3XoEJK9iK+l90PgDllLGM+v2Alf40LpYhVzipW8lfm84ugkJqDu4szt4pCNkbntzfIRt6gikIy2ZcsDqCSAtbwMADt+Wmkz1RHTgMgnc505bek0poS5mBIowOnM4inOIDpDOIpOnA6JlrQ/Xn7o9ZqX4gGaQRNh9tzcsJCCtyIXQdOAaCERQCUs7rWA6RHLyazfWF0ODAtTBkFTGER48jjVyxiHAVMCQqpacCohhRSxph0Y8yRxpif+K/p9X5qkZ1nGJCZQ+e4QgpgH7+EIc+NItdqvk8Ud/2RojP0UknnCM7hLG7l+5zI/hxLB3qyjc1M5ma+4k1WMY+veDO2kCrBTUtZhLvQ+MwYc54xJsNau9Ra+zN8spYhRFcG0pvh7McP6cehtKETIVIpZxvFFFLONtLIpDfDYwJjImmiDwHf29FCCiIj6NOrKOdLf16qzZe8ThUVdGVAJBhjS8xgXClFdKCXT0Pcwlym8wWvMZfplLCFECkcwHH8hKuCfloH+WJuO8aYH+CKT1JJZyCH05l+8du4v5cxwAy/fW2fcZ219kbcGpZngd7AgbjwkpZAF9xF7hfGmPt3JNBjd6Zpfkny/0P4BZHjd3Bv4/HTSs82xlz8Xc2T98XIC/5PhDHmQuA+uD/kpuOdiFsnFRRNbwIvQ2QRYhB/vhkX2V7XyNQy/zUbopHDW2tu5d/bTT4xcSQutW8j8JGKKNkb+WkWhwK3Q/WFG3iKDTxFBj1pSf/ISEkJC4MCKvAAbuSn2BhzN/DISm4nk56Rxr11KeYbVnAb4IqljbzGGh6mgrW0ZAhtOZoV3IQhjWyf+AeuaNnA0xjS6Ms9ZMekCLakP/swgRyOZDH/h6WyjTHmwJrNzGvh+z+1JExZJOI8o5bI3kC6n5Jd7acmBkEaiVRE1yoUQWR63lH+YuV3uAWfQSf1r6lnikzAj7pfgRvy7xzz1Do/vfk2nd/kOzAEEq9jGsyRLOFzZvMOPdk/YQhFPsuZ41MsB3MEn/I84C7cf8wf6MS+kW1DhDiWcbzJ38lnObOYnOj9tEwjg0xaU8ZWKik/EBcx/DtjzBO4QqofgCVMFm3pzhCm86+4cApDiEM5lX05iHRa8CFPYN11y/vA0Tvp2usG4PCveSsF2K7PVAWlfMnrfM1bGEIM9xNwKiljkQ/q2Z8f8jVvk++vl1LJiEy3BOjNgRzN+ZF+T+3pyWo3C7oH0fUZ7u/AmO/hRtYz+3EIIzmTNSwgjw9JI5N9GcG3fEYlZXSmH+tY1AqXaHp4PSNL9wIXppDKII5gIKNoTTu2spE8ZjCf96mm6kJc1Tqujv00SyqmkjeASPx5bWETDTUU9//8ymzcnLd6fwnXxv9yvwB3cmmDG2J9FXiwIb/cE7HWPmCM+Rz4A4RPhRdT4cWam1Xi5sh2dA15j8fdSHoE/IVXYkHk+gkQjRBeknjbSFE1vbGfQWRP5EeoLvJ96MYBZ5azPLNG8QSus/YzwN9rFCiTgFFhyn61iAvpweW047iEU/7CVLKRN1jBbVjKCdGSldyD9YvKWzKEvvwN65uFh2gZNzKU7y+o2nNKXCEVK5uDaM/J5PMcuJH6cxvw1+D7P5XEjmzVOkoXqKgxEhUEadQUppxNkbYSvOOnSJ/q31sfXDFXjDtvTcLFEdfbQ9AXUi/iO6pn0JMW9KaUpZSzvDMu8edg38xcBZXsSi2BhNPSutAvcsH9KncxlKMZxOGRPlPz+ZA5vEsl5fTlIDrTNxKcMJKfxRVS0YNlcxJXsJI5LGYWpRTRgmxa0Jo5vEcrcjidv5Dmpwwu4XP+xysUUzgCfJqEZwixkE9YyKeApTfD6c4gVjGfpXzBp7xAVwYxkxdY6BKLS4A/7ayb2Nba6caY84BHv+atlLm8T2++R0vaUMIWlvIFVVRgCHEEv6QrA6igjHf5J+WUYAjRhf70YBhzeJflfBNXSA1kFKP5Rdwx04gEIsfN8vHuAlr14xCO5FcYDJv9rKJ9GcFovwY9jw/Zh6G0JpdFfNrKv+6oBPsLCrQLU0hlLBfTlQGR59rRlcM4nV7sz1TupZqqi4wxj+5pU/5UTCVviPtyQD2b/Rn4G66Z7i11bHcAbqocQ0mimPJxwrcBl9V4qh1u6Gu8MeYO4AofSNEo1tqZwM+MMX/EzfXrR/RO7CJc/vsxwH/cje/7ccXUfcDJJA6h+BT4u//+AlxjYCCaZCEiDeALpF8bY36PO4cMxV0Q5eCGjAtwoyqlxpiU4MLBWmuNMb8FCFP2q+XcwGr+TntOJpuDI81ui5hJAS9SRWHkmMFITksG0YFTacdYQqRH0uvClGCpjhRUW/y0oBCtmM/ZVLCedDqRy0l04BSM/3UUU0wd08CP/y3QfyuzaM9JkQcLeJFO/KLWNVP5xM/iyaglPGgDzwTJh1/hCp9X8A0rY+TiGvKOAe42xjwI3FSjAXlNVwA/SiWH3txEaw7GYLBYtjKTpVxNFZt/jFukelMd+xFpaiVAJH0vlsFwJOdgMCxmFl/yesIpbH05iCM4h/UspoISWpBN31puooAboerJfvSMGR2vpopv+R/b2EwBy+lCP1JJpz+H0p3BvMjtFFNIfw4lh87MYgo5dGIz67GE6c1wfuD73w1iNG/zMEv5gsncFIxYlQA/beAIeNKstY8ZY5YD11ZRPiYYcQoYQvRkfyop42OeZRGfUk4JIVIIU80b/J1Utp/5256eHOYTSWNVRoutuFk+/mb7mFQyGMmZkXTXHNdOLNIwOPiaQ2cGMToo+MYYYwZZa+f7GRG/wZ3zluPOfwziiLhCKlZXBjCI0cxxIUQXsIcF76iYSp6/jdmmns3+hptGegZ1F1OR/dTdjKB2vpBKxd0w/Q1uPdIyXNLuJKDKRVy5X85J8cksCReGG2OeA+6Gr9q79Zu/wsWjH427aX5+zHt6BFdIleACBsuAb8BFHD+f7PsT2ZtZa8uNMaW4RZw/hxqNW5wiY8yTuFGqedbaSmPMubh40T9WUThkHY+yjkdrPU4bxrCFaaTTjZ7cQEvfKwagjDVAKpZKiviENj5Cucr/Xl/PvyLbVrGJEvLYwof05a8YUkmna/B0w/KE3cltbD7P04HTyeJAivmcclaxglu3S/OzVLOCWyMjU4YMLOXk1miqGaacDTzD6sgNH1Jw6zNpQX86cBrZjCBEK8Jso4jP2MDTlLGkvd9ulB9V2i5Vy6+JuhCgNzdFmhi792PI5hB68RcWuynkFxljbtfolOxCc8El7CWSQhpjOJeBHM483mcls6mknDQy6MEwBnMEXeiHwZDnu5W4sInGXXKmkMpARvElr5PHDLrErOtpSRu+zwlM599sZDWHcjpf8DqbWBtMT6M78UuGujOIpXwRFFIzgD/s7EIq4BuPT/cFzdG4c3NL4ARLeL9lfMmyaLNdctmHzvRhIZ9QSXnCEI8ClvMMVzOYIzmAYwmRQhUVFERnJrQzxlxNdE3GUIB+HBw36tiT/ejDgSzhc/L8Wrc+HEhP9sMQoi8HB4//zhhTiBs13059cfkDGRUUU8fX89fV7KiYSp6fYF9n+iRuROoM/7Uukf1sfyuoHv4fpy+kXia+UXh7XLLeybi1TlUTjDH/TnbKX138hdyDwDWu+e/7/pl/4+qvRDXYr3E3aI8IHnioIVNkRCSen352A3ApPlwonc60iFk/VcpCKliXjbsz+DtjzJ3AddbaMuBRP11wFO7Ox75ER5+/xTWEewzYpyNnUMFqSlnIfE6nNQeRSU/KWM5WHzcMsIHnIsWUIQULpNKWHlxKFsMp5gtWcidFfEw+U+jIaVREI5Mblifs0mjWlrG0SxGf0pHTKMZdHxXwIkV8RgdOIZ1uVLCafKbETfELGv6u4A6KmU06Haggn028GenFhYsoHZZKLn24mayYnl0Wy3pe9fHpcb1uxgD/M8YMSTBCdRjQOZNetK4lvCibQ8igZzDlbySa3iy7zmygbDPrMovI3y6EAlzR35X+dPUpomHCkTU7sYII9G4MTOqNdGcQX/J6wh5LfTiQj3iaAlYQppr+HMo8prPRT/FdxXwGMTqy/aropJ8K3AjzdvOhd7bYtg7e1caYEbiQrbbASUCXMNXM9f/kc+jCYI6gK/3ZwDKW8zVF5FPMJkrYwv94ifUs5hh+yxI+p9xdnpZQS8Pcms2RDSGO5nz6chCbWU8OnSKFFEAfhgfF1OHAcEOI/TiGrgxkDXl8wztYwpSyBaI3w7aT5QawoP5RiGZHxVTyXKe5ertS30LdI1KByH7qzQxO4AL35VziC6lYY/3z/wA3n+7/kjhOQ9wEjIJ1Y1yB9BRuNPdB3LkrCKc4wb/tMtx268ClX2k6i0gjGWNyiTQPD9Gek+jIGbRIEP5SymI28CwFvBSC8ARgjDFmrLW20McNf+j/JDrOy8C4TbzFAP7BSu5mI2+wlVmRIsqQQRodqGAVRXzMFj6hDYdGRod6cCntcD0i3VfLUq6mkJfpyGkURNdjvtqQz+5H1u4HblrGNfTnH7RmBFv5DAhRwerY0SUvBIQxpGKpwpBONVuC+POaVgB9U8llIJPipgNaqpjPOZRu32Ml0BdYbozZp8bIUjuATHpFirKaDIZMegXhIbVnUIs0MX9j9FngnLlM41AX/FanRIUUEGmmm5bkpJs0MoG4qWsRqaSTSWsqKaeCUg7mFPJZFglqWMoXvM3DcWumvHTgduBGY8xE4Ppklj80FWvtZ+Dm1hlj/gc8sonVZJLFGM6lO4NZw0Je5W7Kts/nAgwrmcvb/IPC6FrRlplk0ZeDIuuzFjOLMor5gldJJ5P9+EHMHkL0qmXZSswoVk+A/TiGg/kpAD0YggW+4S3mMp1uJAwQBKA4Ok28vlGIZkfFVPIWAEWwItvVPzsSQjEHv16qCFiYxA78kOlv6tnsfHwxdQI7qZjyTXZPAaa4guooXNDVhcB1RG90v4srpr4OXjoNF29e1xoDEanBj0hNBUak05Xe3EwWw2rdvgV96clV5HIiS7mKCtaMAKYaY0b7Eaq6PAiMK+AlchhDL66hO+PZwsdUU0QK2RjSWcpVfnPLEibQh4kEaZ9ZNRoEZ3EgABWso4hZscXUgzTcRGBUFZuPW8hv6cGfActW/uefNpHCyc10jhZS2RzGvtxFCXlsZSbVbCOFVlSzjfX8B3C5zn24uUYhZVnExZSygBCZdOAM2nMyGXShnLUU8CL5PEuYss64/z6xa8A2ApSyFItNWFBZLGWRtNP4IS+RXeA+4Jy5TKc/hyZM9qtPASspc/kwVDZ+0o1/nTslxYQqRFRRESkulvA/WtGOozmfl5gY6cm0lC8iRVSIFI7gV2TQgrlMZyVzM8BeA+xjjDn3uyyoYnQHyCSLE5lADp1YwRze4O+AJZsODGQU2XSgiHzymBEZtVsV3OPHcDCnMJSjSIkJ5TmYnzCH95jJFD7lebLpUGsBFStm7VwIoGuNUcZuDOQb3iK/noG+mDj9Bt0oa05UTCXJWlvt1x1c4M45D+/A3u4LvnkiyUQZP2Taq57NIs/v1CFWa+0WY8xxwNXA7+HrDvhFoAnk4/o61LdYW0QSuwFfSA3gEdJjerrUJYthDOARFnB+UFBdj5tzWytr7Tw3NbD60m/5I7mcQHtOoQ2HUc4aCphCAS+DW5NwJ9AhTOk5i7k4kpZXzBeRkSn3c3TJgo9FB7jHWju7oX8BfnTqNOC5KjYft5QJZNCLXE6klCWUMCfYLyEyCVMWKaT6cBsh0shiWFwR+i2XBt9mtqB/pOgLbGM2W5lFiEz68WDcazPpQXfGk8ORLOICwpQdbYw5xFobrDz/GFhXzvLOW5kZt2YqUMSnwajUOvALT0R2EWvt58aYB8JUX/gO/+RELqNFwnC4xErZyrv8M/LzavLo0oDG4jUFU/MSTTVcwueREavPeAlwIyyWMKmkM4qfs5V8tlJIa3IZwMhIo+F9GOZHcx6iiopzcCPQ1zb6DTYhn/D5O4AxnEsOnaiiird5CLAMZBSj+HncKOB+/JAZPBnX92sEJ7F/zDk2kEIa+3MsFpjFZD7nVXqyf62j44El0RG9tUDbNeTRI8hgw/23BShhM2tYkDCEYg0LmM8HwY+NuVHWLBjfRFqSYIwZDMyGUMj9rkuUWFefT3HT4cNhYJi1dl4S72MJ0NuNEn+/ji0/A5ems9Ra26eODZuM76QeGyMcDE0FMcLPa42USHJiz0EDmUSrJEbIi5nNAs6joecgnxx6O0SrjQTuJBp0cz0wAdcU3K+Z+lMkKGIld1Hlez15jwHnJXNjyV+MTMDFqnepbbs0OtCBU+nMOZEUwVgVrGM2JwJhC5h9uCrS5DfwLZezmXfpxDl0r6PX4CruZT2PA/zXWhuJ3jLGXAPcmEoOvfgL2RwSSfMr4lOWcU2wZusaa62mP8suZ4zJAj4BhubQmaM5v0EjVIWs5B3+yRYXub0E6NOCbM7i1kaFUFRTxVNcSSlFnMClcQEUJWyJpPnl0IVuDKCQ1axjEWAYy/i4C373vlYxj/dZwWwqKCWdFrSjOyuZDS41q7u1tqDBb7CJGWNOBZ7LoQuncR0Gw0wm8zVvkk0HTufGhNMpw4R5lmvY6nvsHcV5dSYnVlHJU1xBGcWcxOV0ovbLwXJKeJLLgwCMnwFPG0IM4xi6MZDV5DHbr5kCFxoyiNEMZBRZ5FJMoe8z9QHVrm3G/dZa9ZmSqOhd2vAE9//YDKglXjex1bjXhQHuSKaQ8l4FxrvUvrqKqaCnE68keZxG84XSk/6PiDStcUCoPSclVUiBG6Fqz0kUMCWEK0Iuqmt7PxXmMh9WEfS0y8EFRiTqaXetMeZe4Dzg2io2tVzK1TX2GiKFNkED3cnJ9nzx65Ju9usgTsQN+3cJ0YI0OpJBN9pzEjkckbCICqznCfx5uQRolR3fygaArcwEXJR7XdpzclBM1bxVfBtwcBWbf7yY8WTQk0x6Ucay2CbLr+EKV5Fdzjf2/gHw9mbWDZ3MLQxlDEMYk3CkqIh85jKNOUwLLq7nAD8A3imlaMhiZjGAwxp8/KDnVCtyaM8+ADX7TNGObpzClaSQxle8yToW0YMhcYVUmDCf8lyQJBdRSRnbojdyMnA3fROmFe8i54JrdByMFgUx6gMZVeu6tBAhBnE4s3y7h0XMrLOYSiWNfRnBXKaxmvm1FlMWy0c8ExRS06y1zxhj+lnCN37DW3zDW7GbXwd0rKbqojm8t93ftXc/O2+9/ndKxdSOuw4YA8tGuBCsp2nYCNWnuEJqGbgho+t34D08CIx3Az0nkziEYiox7Zv2uCFWkb2NMSYFF39OxwS9RhqjI2dQ4H4Rn22MubghxYwvmC72f+rbtgC43RjzV1wBFjtSTQsGUxqZ7+/njOwAX1S9YIxZBXwcpjTUibPo4BdN1yWf59nAM+CqqSpwvbFqqvaBrhm1D4D55yPpVnFzpPzUxFNwI3gXlbO8c0wRtQ534aFIdPlOWWvX+b5Ct1vCF87mXWbzLm3oRC49SKcFFZRSyMpgJCrwAHC5L8juBh75iKfJoVPCxr01redbZvAUANvYzBNcRiatKWNrZGpfO7rxY/5ICmlYbGQa2RCOjNtXUEiFSGUQoxjIKFrTnq0U+FGTGYTdP/U/890WU/tCNPmwigpKfFZDouI1VuuY1ndb2FDvgVr5zhPBmraayinhI55hsbtptA24BMBa+xdjzDvE95n6p7X2EwBjzKNEb7K1xSVUfwTc6IM29kgqpnaQtbbMGDMWmOoKqpG4oIfxJA6lmAPcCzyKv/P5GXBcAxZ+1/Ue5ruGvFWXuZux57J9T6dJ+OuCidbaHb5YEZHv3AAg28Wfb5/a1xgt6EsanahkfTbQnyQahzeELwzu9X8wxvwJuLM0GmJ6qbU2mRCe2o430xgzHrh/BbdSxlI6cTbpdN5u2wrWsZ4ngkIK3El8AtAmzDbcdUGUi5svopy1ZNYx9ak8GvW+XYKV//u4yRhzO+6XRztc2MRHKqJkd2GtLcb1O5uEGw0/cwvrM2sUT+DieZ/B9bCL7d80CRhVRcWvXuNvjORn9OWghFP+qqliMbOYwVNUE/knkFdJ+cDYRL8cukRGpNzrKtlKASFS6R4zKlXIqkghNZZxcWlzufRgJD+jFwcwlfsIU93GGHPgruo9lUAWxCYYRi8LE0XDxwqm+NV8XW22+bYP83ifKirpw/BIYbyEL1jMzGBEahsuHCwSOe0Lp09q2XWQqGaATP/neOD7xpgHgNv2xHObiqkmYK0tNMaMBm6A8KXwj5BLzesBHIDLe9iCiz+PNMELA3fgIjmTLqRiXAFYqJrgjv2PRNtMBK5sgmOJyHdvCLgGsk2hJf2DO8tD2UnFVE3W2ruMMa8AA4G8piykYo7xgDEG4L4NPBPawH/JYTTZHBLpv1XEp2zmA/wNrjAwzlr7oF/D0NP1quoet982jGQjUyngxTrXTDUk6t1fXEzfgY8pstP5IuPXxpjf484TQ4EWuNGHOcCc2DXQfvR8AO5c9SHQq4qKI9/nMWYxhYGMojuDSCOTSspYxXzymBFJ4sNFb/4Wd/e5Pe5i6jTglm4MiEuqCwqtNDLipsPN8/0uBzGq1tjubgzyDYing5vmfG7yf0s7pBhiEwwzI0/kMYP9+GGta6bmx3SziH1dIlVU8q1LYidMNXl8GGnWW8Mm3PrXDxI9WZNfs/oiuA7obehEW7qwibVsYX1nXLPfg30z8z2qoFIx1UR8QXS5MeYx3D/Gs2FlNtt3EC8CnsAtwkt2jVSi44f98f+N6yN1AtEq7hXcOgaNSInsOVqCGyFpCjH7Sa4hTJJ8AdXkRVSNYzxgjPkc+AOET93M9NTN29culcALwN+stTP9Y5OAMfk8R3tOjku96sBpbGQq+TxLDkcmjKMvZjb5/Df48YGm/VQi3w1fMH3u/2zHB+OMw01Dzk6wSbiUotCXvM6XvJ7wEMAs4GJrbdAFPN8YU4hbT8HmGqNiQXR6JeVxDYRXuHAJBvrm4bUZyKigmDqmzg13rm+B/qvJoy1dSCWdLvRnLQspIp8ZPLldml+YMDN4Mm5kqr50vjm8F0zv+wo3wvQrEp/32wI3A380xjyIT102xnTAj6Jba2OHzK4AfpRJFkdxHt0YFAnVWc183uNRyij+MW5q8x4VqqNiqon5AukiY8zFuOkyNe/cLEx2cXUDjz8ft8Bvj1zkJyIRJQDVtcx5r81q7mc9T9GJs+gWkzURs5+kGsIYYwYRnSsf3MhJFEjxnfAF0s+MMX8Efgn0I5ouugh43Fq7rsbLngPuLmVh+2I+p3VMwE8rhpHLCRTyCou4gA6c7vtMdfUx8S+Sz38Ju7vMj8XEoovskXzPuxtwSZ8hgCzabbe2qpiNQTVggTW4qa1FuOS/p4F3ahm5uB0/6rGa+WxiLW39msUU0iLroFYxl338zY2gR1LsmqJEWpMbfJuTzGdvIpOAsfN4nyEcicEwhCNZ6+815TGD1eQxiMMjn3U+H8YVUgBbWM9XvMlQjiI1ZvSuikrm8F4kqAJIwZ2zyaU7gzmSbgyMjBSuJo95TKeQVe2Ba4CTjDGbgdHBDowx04C7gLdxDUU5ivPozuDIcQ2G7gxmDOcy1c3wvsgYs0etB1U0uohIM+Tv/s5NpzPDGtED8QtG0odbWcKVDI9pX/QNP6bS3e0d3Jjix0el3wZcVsdmdwBX7CZNMRvFGHMjcE0quQxkUo3GvVUs52YK6w5I/Qo4aE+6cBCpyRiTi28ebjAMYBRD2cS8wgAAIABJREFUGUO7BAnHG1nNHKaxgBlYLLi142OttYV17H8wMDdECl0ZwCrm0YZO/JALIgXVV7zJLCbTg6GM9VNvn+QKtrGJn3J1nbHuBaxkshssWWmt3SfZv4cd4afJLQe6jOViejCEMGFe52+sYUFklGe718U9bsB/n0kW+zKCVuSwjc18y2exgROLgb4tyOZozqcL/WttHr6WhUzl71RTZyvQScC5OXTmNK6vdV//5bpgOvkYa+30Bv3FNAOJcxZFRGR3twAoqmAdpSxu8Is6cRZLuJJOnBV5rJTFQSFVROOn3PlCKoX2nMJAHmd/3mEgj9OeU3A3P7kMuLWR+91d3ARMq6KQPM5lK/+LXLgYUunFdQzgX7TjR6SQjbuYiVxIfA4crEJK9mR+RGoqMKI1uZzIBEZzdsJCClwK32jO5kQmBCNCI4Cpfj+1uQBgACM5ht+SS3e2sJ7nuJ7XuJsZPM0KvgFgJXNZyVzCVJPlR5xe5HYmczNzmU6Y7ScHxTS9bfidqSbmzxP3A0xjEptZT4gQP+QCujIgrpAKufOqex028vP3OZEf8Hty6UEZxcxlGrOYwlymxU7t+y++kDqJy+nKgFqnBhoM5ZTUV0iBX2eWQ+c695UTDf9pV98OmxONTImINFM+HemC9pxCT65Kej/LuTmIRn/AWltnn6kaxx8EzIMU+vJX2jByu2228BGLuQTcBUyjRr12F8aYNsAUYAy40I8OnEo2BxGiJWFKKGIW+TxPabQWnYZLwdouxU9kT+LTKCe4QuoyWtVIvqzLNjbxMnewlUJwrQCuqOUYS4Fep3AlHehFBaV8wnMsZlZs6h/ByEwKabSjK/nRdgMRPRjKsVwYKUBWMz9I8wPYz1o7u8EfoIn50amXgeMyyWIM59KdwVgsy/iKeUxnDQsi2+fSnSIKqKSMHgzhWC4iRAoWywaW8iVTgyLzf7iE0i+BVUD747mErgyo8/1YLE8wgVKKSCWdIYzx0fK5bPUNeecyLUj+ow2dOJ0b9rqRKRVTIiLNlJ/6MhtCoQE8mjAEoT7FzGYB5wHhMDCsMcE4vhnv+PqKuZhi7V5rbbNcz2mMSQeuxgX81NX0JR94CL9Ye1e8N5HvSnAOMpjQSVxOR3o3eh/rWcLLTMRiaz0HGWM2Am1/yV1kxoTulFHMSuZQTgkZtKQ9PXkupm1nJlkcxpl0oR9rWcTHPEMZxRzMT+nGIPKYQR4fBoXUPdbaPzT6AzQxY0wWbr3mceBi4AczOrKeqYytrGAui5jJFtwyzx4M4Rh+u12S31s8yDK+Atfza6Ix5mzgP7n04CdcVW9YxQpm8wZ/J5V0fswfEzb4Xc8SXuPuSEH1I/4vbs1UYCVzgzVT64B99qQRewVQiIg0U9baecaYOyE8YSlXMYBHSKdjg19fwQaWchU+EvyOJBJGjwf8dL7atefkoJg6gWYajuMLo2uNMTcDpxLfeHgrbvH8JOD52HhokT3cOCA0gFFJFVIAnejDAEaRx4chXBpyotHxLUDbrRTEFVOZZNGPQyI/57Ms+LYaSDmMM+nLCAD/1fIejzKTF2ru/x7gT0l9gCbmGx2fiOtzN34zazt9zLMJt21JDoM5ggM4Nm7qH0AxG1nO1+CSSh/3D58LMJgj6i2kgJhGyGMSFlLg/vsN4Ui+5i0A3uPRyIhasJ5rFfOYxqTgJffvSYUUqJgSEWnurgPGVLBmxALOpzc3N2iEqpjZLOUqKlxT2c8g5nZuw7UByKBrnRulR59vk8Qxdiu+UHrS/xHZa/k+Uj8HGOpmwCZtKGOCXkdnG2MuTpB6/CowLo+P6ECvWvczP7r2qQJo0YV+cc93ie/Ltx6YjEsc/c6m9iXii42bjTETcVOGR6bTklTSSSODbDowgJH0Yv/tiqjAN7wdrLN6ISaptA9ANwY26H2sZRHQsGh5X0xVlVGcOpV7aUMncujMZtYR0+D5NVwq4x5FARQiIs2Y73E3FvisgjUs4DyWc3OtoRSlLGY5N7OA82ILqeOSbB6+BaDc7adWFdHntX5IZM8xAMjOol2tYRMN1Y5uwVqrbEjYifxBcEERK5mbcB8rmcuCaELpUogWA4G18fk6nYBvd7dCKpYvqv4EhCsoYTg/5gxuZCzj6cPwWgupebzPHN4DN+3gbzFPZUH9jX0DQQPhmOj4hGKi50O4GPV1W1jPcr4OCql1/vE9rmEvaGRKRKTZs9YWGmNGAzdA+NICpoQKmEIanWhJf1LIoppiSlgYpPaB+yV7B3B9koUUuLvF4wuYQqsEc+QDBbwYfFtnhriINCtDgDojxxsjlx5sYxO4/pxxQTXBlGZL+NI3uZ/+HMYgRsX0W5rBAj7CuinLd+KKqfs/5hnARprffhxtoh240xjzim8evluy1s40xowH7p/Bk2xmLfvxA7ISBOIVs5FveDsopADGxzQhd5tAbiVltKB1vcdOpwXllLCVQtrUMYU8ptfVFmvtTT6UZCS+uS/w0Z5YRAVUTImI7AF8QXS5MeYx3JqDsytZnx0zvSJQBDyBm7fe2DVSNT0IjC/gZXI4stY0vwJejt1eRPYMLcFdcDeFmP3UtsPLAcJUX5rHh8G0wJru9NulAMeXUTz2PR6tsYlL/GtLFzaxFmAgjW8JsUtZax8wxgDcN4f3QnOZRk/2pzuDIw2RVzGP5XwdTO0LA+OstTXPuUuAnqvJI7vOHB2nB8NYzEzymMHB/KTW7WpGy/vCaXojP2azpWJKRGQP4guki4wxF+OmywzFXZyUAnOAhQnWIyR7rPnGmDug+rLFXEJ7TqQ9J5NOVypYQwEv+kKqGmCitTavKY4rIruFEoAKSptkZzH7SbhD3/T7MmPMJFzfqeOBHGAz7iL+wZjWC2FjzEnAb3ChC4OJFGmWFrQOCimAZnFe8gXV58AfLPbUZXyV6pP6YlUCLwB/qzEiFZgEjJnH+wxkVL0hFEM4gsXMZC7T6MUBtab5zY3WTQ807lPtGRSNLiIiSTPGhHANeSfUsdlE4Ep/MSQiewAfiz43i3ac1QQ9uZ/kimCaX5P3ozNuWOdI3Kj9T2OeutRae1dTHmtXMMZ0Bn4J9COaKLoIeDwmbCLR6zJoZJ+p93mMhXzi+0wd6ftMuemVrs/U9CAW/V/W2nOb6CM2KyqmRERkh/kGvr/HxZ+3wYVNvIK7W9ws7vyKSMP5NL+NQPapXJtUCMUspjCbd+nLQUF4RBHQrjGj5/7cE4xUBeeemiNVsdv3x03ty9ud10rtLMaYG4FrWpDNSVxOdjQ8IqEw1bzLIyzli7o2+xfwuz15XVRdVEyJiIiISKMZYx4ALhjI4Yzm7Ea//lHGcQy/4S0eCsIjHrDWJuozlejYIeA24LI6NrsDuEKj4lG+AfkbwJgWZHM059OF/gmn/Fksa1nIuzxCKUXgUvkyiC9aH7DWfrrrPsHuR8WUiIiIiDSan+o322BCJzKh1sautXEjU+9QTRW40IRhDQ3G8T2YLjOEGMDIutL9JlprL2/cJ9uzGWPaAFPANQjLpTuDOYJuDCKNDCopZzXzmcf7FLIqeNk0XLS5WlzUoGJKRERERJLiY7AntCaXE7ks6BfVINvYxMvcwVYKAW631l7RwGMOAuYZQhzLRezD0O22WcEc3uT+oKBq8nVYzZ0foboaNz27rmi/fOAh4CZrbcWueG/NjYopEREREUmKMSYT+AAY0ZpcjuL8Bo1QrWcJ7/FIUEh9BoxuaM87Y8y9wPj6phd+wBNBhPq91tr/a8i+9zY+lOJUXOphH6KBFktw6X/PW2vLv7t3uPtTMSUiIiIiSTPG5AJTgREGwwBGMZQxCUMpNrKaObznp+FZcIXUcdbajY043hKg9ylcSQd61brdBpbxoksaXGqtbdwcRJEGUp8pEREREUmatbbQGDMauMFiL83jw1AeH9KKtuTSI9JYtpCVQfw5uDVSdwDXN3REKkYbgNb1JNG1Jjdue5GdQcWUiIiIiOwQXxBdbox5DNfP6extbMqOKZ4CRcATwP0NDZtIYAvQbisFZJJV60Z+CmGwvchOoWJKRERERJqEL5AuMsZcDPQHhgItgFJgDrCwMX2kavEqMH4+M+qc5pfHjODbV3bweCK10popEREREWk2kkjzG6Tm4bKzqJgSERERkWalZp+pgYyiNblspZA89ZmSXUjFlIiIiIg0K8aYEHArMKGOzSYCV1prw7vmXcneSMWUiIiIiDRLfsrf74ETcKl9W3BrpB7U1D7ZFVRMiYiIiIiIJCH0Xb8BERERERGR5kjFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxZSIiIiIiEgSVEyJiIiIiIgkQcWUiIiIiIhIElRMiYiIiIiIJEHFlIiIiIiISBJUTImIiIiIiCRBxVQzZoxZZow5Zift+yxjzHJjzDZjzIvGmHZ1bJtijLnJGLPGGLPVGPOlMSZnZ7wvEdn97UbnpqOMMV8YY4qMMUuMMb/dGe9JRJqHnXVuMsZ0Mca87K+DrDGmVz3b9zLGTDPGlBhj8nbW+VJ2DRVTsh1jzBDgYeAXQCegBHigjpfcABwGHApk+9eV7eS3KSJ7mcacm4wxacAUv30b4Azgr8aY/XfNuxWRvUgYeAP4aQO3fxr4EsgFrgKeN8Z02EnvTXYyY639rt+DJMEY8x/g50A5UA3caK2d2ET7vgXoZa09y/+8LzAfyLXWbq2xbVtgJbC/tfbbpji+iDRfu9G5qROwDmhlrS3xj30G/NVa+3RTvB8RaT525rkp5hipQCXQ21q7rJZt+gOzgfbBecsY8yHwpLX2oaZ8P7JraGSqmbLW/gJYAZxgrc1KdEIwxuxjjNlcx5+zatn9EODrmGN9C1QA/RNsOwyoAk41xqwzxiw0xly0wx9QRJql3eXcZK1dj7v7+2s/FflQoCcwY8c/pYg0Nzv53NQYQ4AlNW4Afe0fl2Yo9bt+A7LzWGtXAMmsXcoCttR4bAvQOsG23XFTaPoDvYF+wLvGmIXW2reTOLaI7OF20bkJXDH1CHCP//kCa+3KJI4rInuBHTg3NUZt57FuO/m4spNoZEoSKcatfYqVDWxNsG2p/3qjtbbUWvsN8Azwo534/kRk79Tgc5MxZiDwLPBLIB1313eCMebHO/tNiojUoTHXWNIMqJhq3upc8OaHq4vr+PPzWl46F9g/Zj99gAxgYYJtv2nIexGRvcrucG4aCiyw1r5prQ1baxcArwFjk/tIIrIH2FnnpsaYC/QxxsSOqO/vH5dmSNP8mrf1QJ/anvTD1VlJ7PdJ4BNjzOHAF8CNwOSaC7z9Mb71CyevMsZc7N/PGcDPkjiuiOwZvvNzEy4pq58x5ihgmn8/xwO3J3FcEdkz7KxzE8aYTCDF/5hhjMm01m6XbGytXWiM+Qq4zhhzNe4Gz340PAlQdjMamWrebgWu9osiL22qnVpr5wK/x124bMCtR7gweN4YM9UY8+eYl/wMt7C7EHfn9xpr7btN9X5EpNn5zs9NPpziXOBeoAh4H3gBeLSp3o+INDs75dzkleKm8AHkEV0GgTHmIWNMbFLfmcD3gU3AbcCp1tr8Jn4/sosoGl1ERERERCQJGpkSERERERFJgoopERERERGRJKiYEhERERERSYKKKRERERERkSSomBIRERGRZsMYc5IxpswYY9OMsScZYy/0X9OMscb9KTPGnNTEx21tjDnEGHOM/5pUjLrsWZTmJyIiIiLNgjHmQOAjION84C9A55jn1wHXAI+4H8uBkdbaz3fwmENxbRh+QXwfqmLgP8AD1to5O3IMab5UTImIiIhIs2CMmQyccj7wD8Ak2MYCvyVSUE221ibdENcYcwlwZ3CozkA6UIEr3GIOeam19q/JHkeaLxVTIiIiIrLbM8Z0B5anQmgl8SNSNa0DegBVUA30stauSuJ4lwB3AXQDVifYpsbjl1hr727scaR505opEREREWkOxgChH1F3IYV/fqz7NsW/rlH81L47AXJwBVNL4NfArf5rS/94TvRldxljhjT2WNK8qZgSERERkeYgG9xoUEPEbJedxLEuBEw3YDMwGlgBTAKu8F9X+Mc3R49l/OtkL6JiSkRERESagyJIPN0ukZjtihpzEGNMa1zYRGREajKQC+QDL/mvucALREeovF8q5W/vomJKRERERJqDaUD168SFPyS0Fpjqvq32r2uMIUBWMJXwDKKF1BDgZGCo/7k9cLrfrpP7kuU3k72EiikRERER2e35EImXq3Dx57VFqFngWqDK/fhSEuETWeBS+wD6+68f4woogA3+59jnM6Kvb93I40kzpmJKRERERJqLm4HyR3Dx5zVHqNYRF4teDtySxDGKwcWfAyz0Xw8DOvrvO/qfY58vj75+axLHlGZK0egiIiIi0mwYY04CngUyUoEfAV1x65amEhmRKgfOsNa+lMT+s3AzBbPArYlaQXSq38e4QqoDUAD0BEqiLy8Gulhrixv/yaQ50siUiIiIiDQbvkAaCUyuguqXgYeAV4j0lZoMjEymkPL7Lwb+Ay6lrwT4CVCIK6BOIlpI/dQ/H5Mc+LgKqb2LRqZEREREpFnyjXzH4OLPi4BpyTToTbDfocA3gMnBxZ+3xIVN9MdN7fsvrpAKnsct1xpmrZ27o8eX5kPFlIiIiIhIDcaYS4C7wI08JYpkr/H4Jdbau3fFe5Pdh4opEREREZEEjDF/xBVUBlz8eQZuQdb66GYW+JMKqb2TiikRkf9n78zDoyqvP/45WUkIkIQAAgFjkEU2d8FdVLQobiCCKGqruNa6+9Nq3dHWWpdWrUu1VFFxAZEiqKCgUkHrVkBABURWCQmBEBKyvr8/zntn7kxmMhO2BHg/z5NnMnPfe+87kLlzv+8553scDofD4YiCiPQCrgYuwppSWEqBl4CnXWrf3osTUw6Hw+FwOBwORwysy18vtI/UZuA7ZzbhcGLK4XA4HA6Hw+FwOLYBZ43ucDgcDofD4XA4HNuAE1MOh8PhcDgcDofDsQ04MeVwOBwOh8PhcDjqRZQhIjJVRBbYxyEiIo09t8bE1Uw5HA6Hw+FwOByOqFjB9DxwaYTNLwCjzV4qKpyYcjgcDke9iEguMABoCZQAM40xqxp3Vg6Hw+HYVYjIEGBCOjAGOAGYBdwBlOmQocaYiY0zu8YlqbEn4HA4HI6miYgcin5XnkVoWniNiEwGxhhjvtoF82iB2hFnoH1dFjg7Yodj70ZEsoCngX7A58DVxpjiKGPTgPPQRSHP1nwm8IYxpnzXzHi35zJQIXW9feEg+3hDcPteKaZcZMrhcDgcdRCRs4DXgdRE4Gha0ZYUCqjkP2yiRodVAMONMe/spDn0RhtljqJuo8yX0UaZC3bGuR2OHY2ItAeOJxjhnWWM+aVxZ7X7IiKvASN8L403xpwfNiYBuB24EciOcJgNwKPAQ8aY2p011z0BEVkA9PqGoIgC+BY4WH/9zhjTe9fPrPFxkSmHw+FwhGAjUq8DqWeTw5V0IIfkwPZCqniGNUyiMBV4XUSO3pYIlYj0AM4GsoBiYJIxZrHddiPwCCAAXUkjkyQ2Us2PlGcAVwFXisjNxphHt+8dOxw7DxHpi0Z4hxB631UtIhPRCO+8Rpnc7k0/0AvIJN9zDyukxqKLMRwGXAS0B9YC/wK+UoH1ANBdRC5xgqpeVgC9ZhEqpmaFbt8rcZEph8PhcIRgb/DOOZsc7qAzQl2jJoNhDCuYRCHARGPM0AYcPw8tZD45wuYZwFzgToAh5DCctnQhLTBgKeW8TgET9dwANxpjHov3/A7HrkJEBgETgLRE4BSgI7Aa+AC8CG85Wm8yrXFmuXsSKzIlIncAD2SgK0OnRTjGVGA4GuoG7jDGPLiz5ru742qmouPElMPhcDgCWLOJnxMh4V36hkSkwimkitOZR43eE+bFY0phhdRnQPtmJDCQLPalGT+zlekUs5XgwvA95DGY1lGPNYUi7mE5gAH6GGO+i+tNOhy7ABuRmgukjQIeBHJ921cBv0fzVVFB1d9FqOKnvpopWyO1Csh+l8hCymMqcLr+ugHIdTVUkXFuftFxfaYcDofD4WcAkHA0reoVUgA5JHMUrQAS7X7x8DzQ/hAymEIf7iaPS9iHu8ljCn04xJZGtSW5XiEFMJjWnEMOaCrg1XGe3+HYVdyBFVL/IlRIYZ//C5uDBmmotnLEiTGm2BhzvjEm3z76zSfOA7IPo34hBTAIOFR/zQaG+beJSI6IDBSRc+xjzo57B7sXViiNBoYC04Dv7ONQ9mIhBU5MORwOhyOUlgBtSYlrcNug4GoZa6yIHACc3IwEHqYLmWFlu5kk8TBdaEYCBVSxnK0xzz+ctt6vF4lIRn1jHY5dhTWbGJKIRqSidTQVuz1Rnw4VkX12xfz2AgaA1kjFQoCLw/YTkf4iMg5Yg2ZkTrSPa0RknIj038Hz3S0wykRjzGnGmN72ceLeLKTAiSmHw+FwhFICUEBlXIMLqArZLwZnAQwkq46QAiimim8p5TiNdjGLjTEPuD9p7K/1VBmofbrD0RQ4Hkg6hboRqXBygYH6axJaiuLYflqAmk3Eg0/BthSR+4E5wAVQJzyfbF+fIyL329Q3x16Oc/NzOBwOh5+ZQM1/2JRYSFXMmqnP2ARaMzUzjmNnAexLszobiqniPBZSTDVpdp2vhOq4JuwTZi3i2sHh2Pm0BDWbiAffuJgRXkdcbAZ17YsHnz99F9R1EYBWqEGFZxryOugVT7nTPv5h26fp2BNwkSmHw+FwBLAmEpNrgGdYgyFy9obB8AxrPDeyd+Ixn0Dtz/k5Qvre/9hCsRVP5daEomWc630bg6Jrc1w7OBw7nxLQG/B48I2LJ8LriM1MgJfiGGhQ/3TLgd4v96I5fs8Cd9nH1fZ1H3furSl/jiBOTDkcDocjnDFAxSQKGcMKCoOpfIBGpHy26BVo2Uc8TAKYTrFfAAFwIM3JDhNPJ5AZ84BLKGcJ5aDuxs7Nz9FU+Bio/gC1lKuPVWgxDlBNSNsex3bwBrDhS9Strz6mAV/rr4Hc5ntRAZUeNra5ff2e0Jev2fZpOvYEnJhyOBwORwi2Ae9wrKA6nXncyBIe4mduYAmnM88vpIbH27DXNuSdsZVabmVpiKDKIpnn6E6+TQFsSzJ5EdIBw3mdAu/Xl4wxpQ14mw7HTsMYsxaYWINa9EWrzjd2u20IMMEY80uUoY4GYO3NHwW9kEUSVIZgnylLImhq380xjn+zHWe5UES+FpErRaR+C1THHonrM+VwOByOiIjIoei93lkEDMcArZF6B3gwXiHlO2YeYX2mOpPKCipcnynHHoXrM9W4iEgCmsE3CtT+/GLUbOIX1Jbed/GagW0ifjma0heLK4Dn6r48BRhijKmqu8mxp+LElMPhcDjqxTbyHYAWx5cAM+OskYp2vDz0PmRghM3T0QacdwKcQw7Daes59gGa2vc6Bbyt0TGAG40xj23rfByOnYWIDAImAGmJ6B+8Z2bwAYGIVDkw1BgzrXFmuediBdVtwE1oH6lwNgB/ARaj/0+BFL9Y3Ium+/0OOAK4DijSTVcaY+LRY449BCemHA6Hw9EoiEgP4GzU5a8YmGRTARGRG9CbHAG1QM8kiY1UezVSoBGpm5yQcjRlbITq92hzU39hYDV6A/+gi0jtXEQkDW3IOwDIAToDZcAnwMPAIdjStYZGph4GbgHGEWjA/F9jzBE7cv7xYtMMz7Y/mcBGtFZ1kouW7TycmHI4HA5Hk0REegFXo703/Q15S1Gjrqddap9jd8E28j2eYIR3lquR2rWISGs08t3F9/JSYBBqYJPcCo0cNq/nOFvQCOMmNFXwEGAlqtCAX4wx8ba42mGIyEA0rbFDhM1rgEuMMdN36aT2EpyYcjgcDkeTRkS8hrwtUPvz75zZhMPhaCgiMgb4fW80Le9xAhagY4A8tCFvzFQ/L8WvP9rdFxo3MmWF1FQgqScaXeuCqsTngIU6rBo4zQmqHY9r2utwOByOJo0VTp839jy2FxER4BzgMnQRewXwD+Bt41Y2HY5dQT6okLrMvjBaH7oAT2DF1N1oDvHNhEaotgCPELRGPwaNSH0MXB8c9sJOmHdUbGrfWCDpd8BjhFp1XwvcAPxV7/nHikieS/nbsbjIlMPhcDgcOxkrpJ4HLo2w+QVgtBNUDsfOxYtM9ULFjz8yZYy5U0Tux5rfgNqfD0fz5tYAr6OlcFOwAAAgAElEQVSpffWwy938RGQY8EZPYD6Rex7VAn0IRKiGGWPe2lXz2xtwYsrhcDgc24Ut7j4PLe72UvFmAm/Yfi97PSIyBJjQjASupgOH0oKv2MzTrPHs4IcaYyY28jQdjj2aemqm+hljiuyix334BFU9TAXaAJ3QANULwIu7OuojIq8AIx9HI27ReByNUAGvGGMu3Pkz23twaX4Oh2OvxhWFR0dEsoCngX7oDcjVxphi3/YE4HbgRuraDl8MPCoijwIPGWNq2bu5DOBqOjCSdgB0Jx2AR1nlbXdiyuHYiVjB1A/VFV5Z0WPGmCK73QB/EJF3gWvQwJS/EW8VGqB6yhgzd5dOPjqZEKoOI+HbnrUT57JX4sSUw+HYK7F2xXcAQwizKxaRiWjax95uV/w0MML+vp99PB/qNsTsSTqn0ZockimkincpYhFl2cADQHcRuWQvF1SdAQ6lRciLvuedd/F8HI69Eiuc6o08WaE017ZoOIhgxP1bY0xhffs2AhtBVWF9+LYXRx/l2BacmHI4HHsd4Y00+9GStqRQQCWfU5JUoylrZ4jI3t5Isx/ACWQyS7+v+/m23Q6MSieBB8nnGFqF7DiCtsxmE79nGWXUjkKbYj64i+bdFFkB9PqKzYGIFMBXbPZvdzgcjYBN/zsYbcFQCnxjjCmywmlGo04uNpOAkc+hZhPRaqaeDx3v2IG4mqkmgojkovUGXqrRTGPMqkacTwvUiti7sCxwVsSOPQEbkZoLpJ1GNtfQkXakBLavo5KnWM1UNgCUA/331giViLxGMDIFMN4Yc76tkVoFZD/O/nWElJ/ZbOJ6lgBsAHL31hoqVzPlcDQcEWkJ9Cb0XqRkBx6/H/BbdAEtxbepEngDeNIYs81OoiKSh/b3HUywie4U4FljzPJtPa7v+NloOdQogEhufrWo2cbf9OlaYF/n5rdjcWKqkRGRQ9FUo7MI/fuvASajqUZf7cL59EabZI6ibpPMl9EmmQt21Xwcjh2NiLwOnHca2dxLHoLUGWMw3M1yT1C9bowZUWfQXkC0mikRuRgY25N0XuKAeo9hMFzEYhZRBnCxMeYl3/FzqLsa3NRSaHYIzs3P4Ygfu+h1DXAh+EK5UIa2dHpqexa57OfxHmw7KQGOBHKAQrR3lO/DeB9wT0M+n/b4d6AtqaIFi+5G7/HqHFdE0rHXRWNMWZRzdAbeB3p432IG6InavXsFYc8TcPEDNco4xhjjIuE7ECemGhEROQstZExNQOhDZzJpzka2MJ8V1OpHuQIYbox5ZxfM50a0hYIA5JJNc5qxha2s0ptKsK0XjDGP7uz5OBw7Gms2sSIRkibTJyQiFc46KjmD+dRqo8NOzpQiiIiMBS6+mU6MoG3M8eMp4BFWAow1xvxaRPoTXA0OL+72VoObSnH3DsP1mXI46sd+Rm4GHvZeO4igyPk2dPitwCMNFDlJwOlok95eCah7zjVox16Pn9BVpEdR1QPcZ4y5uwHnuRO4PwEN7Y9GG1wtQ8XNawTE2h+MMQ/YfZoDI1FzDP8q1SI04PSqMWaLHZsN/Afo0Qd1rvkJuAS1cA+nHZAGLNeni4Gj/GZCju3DialGwkak/gOkHkMPzuQwWvkWXzZRxmS+ZDaLQQXV0bEiVCLSAzgbdWopBiYZYxbHOZ8bgb8AHMcBDKAXHXzmXGvYwEy+4xMWeS/daIx5LL5363A0DURkBPDaUbTkr3SNOf53/MhnlACcb4wZv7Pnt7sgIhOAIX8kn5PjMIaaQTG3sQz0O38h8dkOPwDc5USGw7H3ICK3YIXUVWgNkF9VLASeBP4efOlWY8yf4zhuFpp1cwVqZU4C8Ba6uhGNt4FzCQiq/vGk/NnUvqUJkPC63T+ct9CVJKOH7oIurkyGenKmtcXVmcaYT0TkX8BFfYBPsHZ+6GrUO2hRVDF6M3g2mvq0BTgWsKlFLxljLo71Xhzx4QwoGo87sELqQo6tk2rUinQu5FgAZrM4Ffg9MDTSgewH93ng5LBND4nIDDR9ZHm0idjUvkcALuEEjqRbnTEdyOYCjiWfdoxlFsBfROQDY8x3Md+pw9F0aAnQtp6IlJ82waBJy500n92VzQCFxJd27xvXBXVPBCCDRAaSRVuSKaCK6RRTSo232RNcf9ghM3Y4HE0am9r3MGhNQaRGSD3RiNGRwEX60sMi8n59KX8i0h3tCZUPQVu+G6lfSGG334BdadYAVjz1U1cACSOILKSwr58PvKqa7n58Fuzp6EWyI7AaXYGyeX6tgBkici5wvgAnAf+H5khnALloaCvSeTNRcdgNMDBCRG4xxhTE8X4cMYiUx+nYyVizibMSEM7ksIg1GwBityfo9rPsfuHHygM+A05OIYmj6MY5HMFRdCNFtfLJwGd2XDSuBuQ4DogopPwcSTeOpYdOT/dzOHYnSgAKqIxr8PqgCNhhBc97CDMBplIUc6DBMCU47kDvlytoz3v05Q72ZTQduIN9mUYfrqC9f/c7bUqgw+HY87kGNCIVq6PsKODK4NOo9yIi0g2YDeQfAryJpvqId7I4J2Xv0oZb179YDAZN7asP3/aRWCF1C5qKdw6a2niOfX5LcGwy+jaSDeo88Rzwqn28C9gfGAT8m0BELcD+3uTUbOM3cbwXRxw4MdU4DAAS+tA5JLUvEq1Ip7dGpBPtfuE8D7TvSnseYiQXcwK/4iAu5gQeYiRd9cakPfo5q4N17Rulk+oV5+R7e79eJCIZ9Y11OJoYHwPVn1PCuhiCah2VzFUNVQ0ajnUEeAPYsJAyZrOp3oH/oYTFuq4a+Ae/gvaMpgPNwr6C0khkNB24PFRQxXvP43A4dlOsa9+FoKl98eAbd6HdP/yYWcA0IOcUgulwlWhkKy/O8+xnx6MC5KA4dskEGwaLcVxLAqhgGgUchqYh3WIfD7Ov/y44PgWgGdoZ/WmsO5h9ngq8B5wJnIFGrfz4lKcTUzsIJ6Yah5YAmTSPa7BvXMjFQkQOwEakrmQgGTQL2S+DZlzJQC9CNVBEjhSRs0SkjW9YLyAjl+yQGqn66Eg2HXVsht3f4dgtMMasBSbWAE+xGkPkchyD4SlWe6t6E5z5RCjW3vxRgN+zLKKgMphAnylLImhq3yj2qff4o2hHhg4HuEBEbhKR5Pr22VmISLKIDBORV0TkXfs4rLHm43DsofQG0g+CGP6gQXoSCHU3J/K9yNXYiNREO8gTFjkNnJwvHNUi+qgAG4HglS8KP/l+T0fF02DUlaYrWufU1T4/HRWD3lweQXtTjCUYybvKPl9tt7dGcxtPJFRQ+Vbl86zhh2M7cWKqcSgB2MiWuAb7xoWnGp0FcBj5dYSURwbNODS4PjIdrUtc4BNUGQDNo+wfDd/54rmwOBxNiTFA+VQ2cDfL60So1lHpt0UvZ+9uNFsfDwEvl1HL9SxhFIsYTwEzKGY8BVzEYq5nCWUqSWdgxdRAsupEpMJJs7VUFkHvDSbuagEjIgPRLJs30FSc0+zjG8Byu93hcGw/GdBwkeMb/38iEliBsa59VwD8EQJL0l4qTUP7L/gSmjdHHxVgCoQ0yY2If/sQ4FOCQqocNZIoRwtNV6JOhvuhtu03ESLwQmhtt89Bo2//RQuyvJS/VAKGCckQZwGxo16cAUXjMBOomc+KxE2U1Zvqt4kyFqilcI3dz08WQLuAj0tk2gXNYbzrSVvgKPSzWgqwha0NegOlwfHxXFgcjiaDMWaeiAwFJkxlQ9r7bKAfLWlDMuupYi4l3pdOOdpIda9s2BsLY0ytiFyC2uzetIiy7EXUaYdSi4rRb7AGOW2JTw955h/H04pvKWUTNYPRtJRnd8T8Y2GF0lQgKZ9mnEMOuaSyigreppBlbO0ATBWR04wx03fFnByOPZhSaLjI8Y0/C3hMRK6zDqCnA526oiYNHgej6mEOukqSF8c5frLj0QzBb+sbKyLNsG6B49Gap2hufq/5nnckGMnqid6cCRp96of2i2qNNpWK7UOrdAU+QFMUpwLvoml/FWjuOmr+F18BsaNeXGSqETDGrAIm12KYzJf1phpN5kuv39Q7dj8/xQDrNKIclXXBFBwv0luAmlaAumSWrmIDa4K9pOplNRtYrWNLAefm59jtMMZMA/oDr9dA9WeU8A5FfKZCqhrt/9bfjnNEwRhTa4x5EDWR+jdAcxLoS3NPDCWg9wSBRZeCOB0APfOPA8ngJr03gcgNb3c4NgI2FkgaQVvG05PzacexZHI+7RhPT6+/VhIw1qX8ORzbzaGgSmVRjIEeC4H/ERJpuRa42wqakWBt9Xz7tEaLyA3wVJzneYpAT6g3IPqNkj3vVOACQVeSzgMuQItuf7aPFxCwRQ+wmmCN1UL0gmrs43z7+u3EL6Q8ugK32d89O3nfqvxy13pix+DEVOMxBqiYzWLG8SmbwlZ0N1HGOD7195mKlGo0CeBLlvkjRSGUspWvgpm7A9GWA72NMesBjDGlaO0iM+PURTO9LgXapyC8ttHh2C0wxswzxoxA+3ucj37vno826B3hIlLxY2uotgDcQCdepAdX0MHb3AWNTFUBTKeY8qD9eUTKqWG6rhVxBC05JJhN3CnqTjuWs4EO+TTjRnI9R9UACQg3kku+pjt3wKZcOxyOhmPT827ynv8tzv0e8P1eHfz1blSbHA1weNg+q1FRA1r0+XaMc7yNdsu1XAjUiMhSEbk0Qr3RY8CA9sCfURcKgzrtDUCjYAPsc6tgvsBqx4loD6jOwI+oucRZaG50mX1+SYy5RuPXBE0plqJGFZYXt/GQjjCcmGokbAPe4VhBdRuv8DTv8wqf8hTvcRuv+IXU8EgNe21D3hmVVPMM0+sIqlK28gzTqdTLzHRjzFxjzDuekPLxNGA+YRFz+KHeec/hBz7VeRlCPpMOx+6JMWatMWa8MeY5++jMJraNZQCvso5JFPIq67zXlxpjCtFVXUqpYVxwW0ReZh2l1NCH5vQgna+Dga2VO2fqdTgb4Bxy6ggpjwSEs4MVG2fvonk5HLs9opwgIveJyOPAOGBfb/nl79gV3nr4DcE0uQp0xaa/fQSy0cy5OkXd3tJyBzRydC5wM6FmENjnNxPSsDcwfTSI9A9gsYik2/fUFrg0we53C+pC0RHoASHJzb60w4PscShDBdgUYF9gCZrq5wm/4USvkYpFa7u/QYXqFH25EiemdhhOTDUixph30NWTibWYmv/xM5+wiHmsoBZTgy5WHG3HRWM0sPZH1nI7rzKWWUzjG8Yyi9t5lR9ZC7CWeloeGGMWoJ9/xjKLcXzipfEFWM0GxvGJ17AX4CbXsNfhcPh4FFi6jK08wM8s08WdpQQXdp/0Bj7LWp5jTZ0IVTk1PMcanmMtAgylDVMp4i9BDfXCTn8XSiZALqn1DvJtz6pvnMPhUERkBFoeMBNtyH0dMAI0ujTSjrsIdadbGLb/QuB44J/2+QVoeGcJWte0xD73HLbCi7rzUTW03h6/Fm3I2wW9GTvTPnaxr3tC6iBUHH0L/JaAa0M34BsboboUSD4dFSzGvrkVaOhpK8Hu48sI6fXUHLQW48/AS3b+E+1zz+GmH9uHt/9LBKJi413D3h2HuHTJpoFtyDsAtT8vAWZGqJGKtm8e2kcqkrPUdGC0MebnCNvCj+M1+hZQC/QMmlHKVr+4MqiQeizKYXYq9qJ1DnAZGhFfga7svO1yfx2O+LF9WXqjBlelwAJjzHY1J7YNLW9A70WWAo8ZY4p82+8H7vSeZ1jXPs/8YzrFlEZPAZwCDDHGxFd0tR2IyCvAyJvI5XzaRR33Kut4lFUArxhjYvUZdTj2akTkTuB+gH3QnLkOwBo0NOWlBJyKGi14HIi69hWiNVIef0OFTSSGo6HwR/DlD1rOR80hUtAL1WKoU7meYo+Rac9zHlpI6zEDdbiw7g2XAcOAU+8B7kFd95YQGrGoQZvmLrdj7tGX30fLOGZgA1jpqLtfB/selqORuu25wLyMClTLInShvng7Dunw0WTFlIi0RxcgPHExa29MvxGRNPRzPACNWG9GV3TesHUK/rE90HSTLNScYpJNBWzI+XqhvRkuIugiCnqz9RLwdGNFpKyQep7IRegvoKKxaf5BOxxNBBHpizbCvRBCrETL0Huap3ZGvZgVWgcDl6M3HrFYg96LrEQ/3y/uKCFlr5UnEfx++dB/rRSRYcAb+TRjPD0jpvrVYhjBQi8CN8wY89aOmJvDsSdiI1KvJaCh6qsITX2rQtP7bkCjQX9EU+3GQUgTmWQ79gK7LRrvoDdDXVGx5Bc1pWiqzuuoiBI79jdodKwFGonKAroTTLk7M+wcvyVgYrEUWAccdTdwL3qBeyPCvIahTn7eOOAzY8zRInIcMBmC9st+nkb/zbaVpwl0Py8GDjLGrAgfYxfmTyR4XfzIGLN8O06792CMaVI/QF/0b7wK/Tv3fqrs630be4676N8hAbgDbW9gIvwU2e0JO+n8GWhk+GT7mNEE/k2GACaFJDOMI82dDDHDONKkkOT9mwxp7Dm6H/fTVH/Qe4Zb/NeRbqSZI2hhupEWfn25BbvYtgPO2w9dGK0IO0eN/fG/VmnH9o9yrDy0v9V8VGTNt8/z4pzL8cCHUa6pHwLH23HJqJgzI2hrvuAQ8yWHBn6+4BAznDb+fV8Cshv7/9j9uJ+m+GOvPQsB8wQYU8/PE/Yz1RNMLZhNYD4D8z6YmWCy7PYvYhynCkwnO/aDKGNWgfnEPkba/r7dvzOY6gjbJ4deP5YC5h77PA9MTdj4avu6fxzwnu/fqTmq874Lvz5dHOP9xvq5KHisMRH+f/qhbqy1Yeetta/3a+y/oab+06QiUyIyCJgApCUg9CSXTJqzkS0sZJVnEe71ftljLItFJAtdOOgHfI4uIDwOjALYlzb0pyutSGcTZczhB1YEuyu8DFxijKmNcOg9ChGZCgwaxpGcTJ/A6zOYz5vaBWKaMea0xpqfw9GUEZFbgIcBzqUNw2nDfqQFti+jnDdYz1sE/GluNcb8uYHnSEKzX0aitdf7g+bJCdCH5mSSxEaqmc8Wf2rNG2jU+VujZhXhxxV08eheItf61qKLvWNMlC81EbkILbhObEYCA8ikLckUUMVMNrJVqyNq0AXqWcBsrHtgPs0429dnapL2mUIISQ9aDJxqIqz4Ohx7MyJyAjBzHzQvv74+ApWoAcMvaArOCb5t89HV9i5otCgWY9Cc4oOBTwhNtYlFKXAcakM6Bvh92PaX0AtFeFKyV1u1HK2Ruht15KtB0/oeQFMAexEwgrjdGPPH8PPbrKQWaIbjd83QnlPbYkJRhF6MK/Ry1d0Y86PvPOeiBoPJKWgfqo6o6+G/CaQxVgIXGBd9j0qTEVM29WQukNafrpzN4WT5/vSLKWUS/2UuP4IKqv5mD7EuFpHXsAWYlnlA31SSGc1J9KFznX3ms4Ln+ZAKdRu+w2ivlz0aEVkA9LqTIXTy9T1fSSEPMBHgO2NM78aan8PRVLHX1/8B3Ecep9XzlfwuRdzNcu/pgfFcZ+2C0NWovXyIfXkCcAHtGEYbOvgMHVZTwVus5xXWeUXe9xlj7o5y/DuB+xOAU8iuI2zeZ4Mnav5gjHkgwv6nov1fEkbRjktpTwaJge2l1PACa3lZXQZr0JSdDukkUI2hMkIvwDYkczd5dCSFm1nKUk33WwwcZVwtgsMRQETuA/5wM2qqEIub0eLtPwD3+V7/DDWH6E+giW69FAOHoYYPp6Ar9fEIqlJgKNrwNh/4klCHmaVo+l8Numo0EC1Of9Vuvx1NUzRoKP0we4zl6KLSI/Y9GhUpnUwMIwgRmQb8KlL9Vzw8gqYaWJYDzwB/RbXpJ0DKVehKVRvffutRMWj7U1UCxxljPt+GKezxNCU3vzuwQuoSTggRUgBZZHAJJ9BfW5alUXehYHemH8BBwV7cvYGoQgqgD50ZHTTYvMmuYgQQkRwRGSgi59jHnLpH2e1YAfC9OhQG8D13K8IOR2SuAY1I1SekAE6nNUODixVXxzqwiHRH7xUeADp1IpXh9is5AfgT+VxHboiQAuhIKteRy5/I976I7hKROqZVNo//3gTgQfJ5gP04jBbsQwqH0YIH2I+HyPeqmu614/37H4cusiaMoh3XkUsqwkcU8zK/8BHFpCJcS0dOUBO/RLT2mzJq6wipHJK5iHa8Q2/605JONOMfdKeL9pzqgWYVOByOIC2BYOe5GHjjwt1wPJvz8N4u0chCV1ASUWF0nH2MlsZTGzauGTCNuladLxIUUq+g/Z9eQY0tQFXKI6iQWo7WSC1HI1KP2B97VXkxlpCyPA2az/xjjIHh/IAKO8Cz0smzL32E6qeUq+wJ2oTt24aQWq0U9D7dEYEmIaas2cQQ7dtxOBKlr4fY7bYYeKiI7LMr57kT+Rzg2+BqcMK+tIkqpDx604nOetOTjS3oFpH+IjIOjdJ+gDpsfgCsFpFxItJ/Z7yBXcQ/AN7hv8xgPispZAbzeYf/hmx3OBxBrGvfhUBA5MRiOG29Xy8TkWG2qWakY3dD0+Hye5DOk3RlAr0osckvF9COATFcwweQxcigY941EYZcASScQjYnRznWyWRxKtmg32mX++Z3HLponNyMBC6lPUso5xy+41aW8QSruZVlnMUCLucHZrERgBSEwbTmNjpzH3ncRmcG05oUhEKqeIl13MJSyuz7bEESj9DF++YaYXvOOBwOpQS0CDEevHEtw17vit7sLIXgt34MNhFIxav9BnUK7I5Gvj4GvraPf7Gvn4qm9mH3i7RCu9w+htsnn2Ift6CRp95oat/d9rGnfd0u/84Ero/zbbwLTC2y54hXUP2Avp8i4DQ0TfBd8O4s+wOnJhMwwojKPQSs4AeHL1Y5lCYhptCi4KSe5NaJSIWTRQYHkAuQRGg67e7M1ahT50/2x4vA1YsgHEk37+kAazs8B7hAICWXbNqTSRbNQT8LFwBzROT+CJ27dwfeBl6opJo3mcMDTORN5nhNiV8gdjNzh2NvpDeQ3o20kBqp+sgnjW46NhGtZ1oqIqP91w2b2jcNyOlPS56nG/1pSQk1zKAYAYbFKd6G0cYTIsOt65+fwYC/QW5EfNvPtPNrjmb2pAAMIJNUhOtZwi9UkkczhtOGzqRSQBXfUkorErmeXKbSl3vIC0TyzqUN95DHVPpyPbm0IpH/UMKV/BAQVJ1oxjFqxJWCllM4HA7lI1D3vVh2nJVolAfUVs5PM4IfrCfiPLFv3JNoZGXlElTUnAAcah9vJlCHtcKOW1KFFoD+Fu0v5fWZ+t4ecHrYuT4I/vq1gcopqBC51z6+SyC17xlgkDGmIp73YGvihwP/XQ4ciUa3iqKML7Lbj0KF3+Goe1sSKqo+IyCo6E7diFQ4bQn0xRLq/rc4aDpiqiVApt70xyQz6OYbvnCxW2KMKTbGnG+MyccuirQKcSyOjm9cf+DOBISDySOX1qxiA2vZSHGIsSigNZn3hb/Y1LGF5aPRdOZpqOPNNPvc2aI7HJHJAMgkqUE7eeNb6+O+aC+7J3xRqquxEak/k0+arUH6njKqMPSheZ3Uvmh0JJU+wUWfg+pMhdgNdDt6a6fQ3j6OBHLa2nL3tiTzKZsCQuo5unEMrdjH7teRFP5JDy6kXdR/q0ySuJB2/JMedCCFhZRxO8s8cyS/eHRiyuEI8jGw6BcC9TdReQY1n+iJrrKHcyUqCl7B1wU8Ck8SqGOqBp6wteX7AWehi0Sz0VrS2fb5mUC+HXcg8EMlan9+MJrudzDwlT3+q+hFZqx9fE1frkHb2XRCy6feR/XL+/Z5J2PMVfEKKQ9jTCmqaX4pQmugOgIXo6l4L9vHi+3rtxCMSH1EaK1YRzsWVDlG7ewXto9lj7jv3tE07Nt151ECsLHuTX9ENlIWst8exmaATcH3WC++cT0SEI6mO7NZjAHSSOEw8gOOiF+yjHLPmwXuFJF3jTFzd/QbiAcRSUZbO5yN3ixtBCahvbGiLl5ZwTTR/jgcjtiUAmzUCG7ceOP/RD4rqeBBVlCFuRZARG5E0+/4LR0DQgqg3FYkNFS8tQqObxG2aSOQu4qKgPCJxOrgtc17o1cDHEELprCBAqrIRO9fDqY5o1jEOrtO3opE/kZXOmvdU0w604wn6cqvWcx/KGE2mziOTA4LTj1PRMQt8Dgc+r1tTSheu8G+diWEfJq9cI23/TgI9IDy0wUVApcD16KpONcBR3jnQlMAnyBoCAFcbYxZZudSg/ZzmhxjzmW2H91vUBGUb6djUE+LWcAlr0Hia8HdaoDfGGOW2ud/JFiytF3YSPtkYJ80tP7pZ9RV8KXwscAgtNbpdCJHTX6FqsqfUJUXywZ5dfDXPfG+e7tpKmLqY6B6IauSiimtN9WvmFIWasf5avSPeU9jJnDxXH7kROo3pjMY5vBD4PmB7BsQUmdwKKdwICm+/+JhHMl05vHvwLoKYyDoYrGrEJGB6GJOeD3qSGCNiFxijAmPoDscjjiwqXjHE2y+uBXY+gPlzX6iPK5Uv2WU8wPlpJHA/qRzEC3IJombWEq13sO0ATp1JpUjwrRPmv3qbqh42xQcvzls0xSg9yQK/WKlDpOC7SK+EJF04KBkhJG0YwobmMlGjrSLqp9REhBSAL+mfdxCyqMzzbiEfXiC1bzFeo4jkxQSPBvkZPResUGrzw7HnooxZryIdKmFB65DzRQuQG8C1qCRpl98459B0+auRNWMP/f3HFQATEAF06uoyMoBCtGaKks1KqSe38Y5G7SE4AXQRWD/Yq+IPGSnl4dm1L3oE1I7mpeBfvui7707+j5fRRsKf4WG9IegN1JdYhwsES20fxi9Aa9PTBUQsHE32JRNRyhNIs3PGLMWmFiLYRL/xUSwoQUVD77tE4wxv0QcuHvzBrDhZ9YzP4Y53QJW+vtNUcjmgJAazKEhQgoglWQG222WAbvaxMMKqalAh/ZkcR5Hcg2nch5H0l6LyzsAU+04h71PA4AAACAASURBVMPRAERkBJr+OhN1Fr4O+D+03IBHWBnXcV5HDaYGkc1GqnmCVdzFcr88GgEwhDaeIVCA7qSThDCfLayJU0uspoL5mplQiZYl+BkL8AEbmEFkx/EZFPM+G7yn92GzWpqTSDfSOZwWbKWWxZSxDymsoyrw5eeZTWwLZ5BDCsIcSlhFBZXUeikzVRAMlTkcDjDGjEFN7xb+gpo+3GQf7c3cQvTacjnw8zLgVvSmIB/Nu8tHU84mBA+7CdiyFHXyskpmA+rC3n1bhVSU+VeFPV9qjLnDGHOBfdwpQkpEDgHOaUFQSAHkoumQXoHMMPSiH0tIeWTbx/djjLuHwMVsijFmeT3zzBaRE0XkTPuYHW3snkaTEFOWMUD5XH5kLLMo1syUAMWUMpZZ/j5Te2RfJWNMOfAowPN8GFFQGYztMzUj8Fou2aykiDRSOIUD6z3HKfQlTQPsAnxgU+52OvY8Y4GkE+nNXZzLSfShL/tyEn24i3O9aFwSMHZXzcvh2BOwvZheAw5oTRKjaMcN5DKKdl7dE5+zmVup//v+XYqYYBdpskliKAt4mXVsooZcW9uUYgVUzwi1nZkkcRgZGODNOE2M32S9t4SWAqwSkbfsl7FgHa9qgdtZxp38xJdsZi0VfMlm7uQnbmeZfwluOramegs1VFLLZbQnEXiVAg4jg3YkB+yRTyG7wSmJ/vc6kCwM8B4b+DIYVFvuUvwcjroYY8ajpjgDgPvRjLz77fPexpjXrQDqgtYITa0E8xPagPMnoFIjJFPt9tZoUKov2oaqL9DRGHOrl9q3B3AVwKUEhdT/UHfDc9FGUaD5hP9rwEG95af/oTnR4VfrAvu6r89UnR5+ACJyuIj8Cw0yfogGyz5EM43GisjhDZjWbkmTadoLICKD0AWHtASEA8glk3Q2UsZCVnkRqXJgqDFmWqNOdiciIgmo6BgF0JkcjqQbrUhnE2XM4Qd/RGoWcEJ7MlnLRo6lBxdyXMxzjOMTPmWx9/RKY8yzO/p9hCMiw4A32pPFXZxbZ0UboBbDfbzFWl2BHuY6bjscsbERqdcSgBvpxLm0Icn3+arG8BbreZSV1KJ1RDfTiXxfyt8yynmdgoCQOpFMPrJW4YPIZgRt6WXXQEeykB8oZxwH0COCoPqEjdzI0kCfqfrs0WdSzP+xLFrvl3eA0wSSh9KGiayP2iMmnQTKglt/QnP7D7yfPAbRmikUcT/LqQFSETJIpIhqbqMz58bpOhiJNyngT6xkCDmsp4pP2QRwuzFmh9RKOBx7OyLSCl0gaYGmAa83xmxq3FntGkQkA9U1aYtRMVWBCqmVwAEEmwYvQl0vlkA91aVKjT3GT/q0GkhKQdVpR7RGagqBiFQlcEH4/Zhd7LoLDV4haNNUL93yc/Avct2DNmZvOqJjB9JUaqYAMMZMs32Qfl+LGfodK/3zq0aF1oPGmHmNM8PY2J4uvdE0k1JggTGmQQV7xphaEbkEWAzctILCbH86n495aOrxCVtt/n+8joitQsddCux0MYWaTXAsPSIKKYAEhGPowZva3/xstN+dw+GIgu8LjRvpxAjqtjhKQgKvP8JKvmAz57GQbqSRSRIbqeYHygPjL6Idr7AOgFvo5O87BQTrosqi+EAdRyb5NGMZW/k/ljGSdgyjDR19jnyrqeBN1vMq66IKJNR1i2NoyW105iLa8TirAiIvCSGXVMqooSDUdHk/dEHqwNco4BSyGUxr2pPCC6zlCzZTYZMW07czQSPdmm8UUsVsFVKVwIu2H4tXt1YCfFRfiozD4YiMFU5NTjzZz/gAgp/xmTvhM54HpHUnGJWaQlBIfQOkogLrYFRQ/Ru1OK6P9wgIqeVomdXtlTB4Yqjnh7Gne8AY80WEw9wF3JOApg9cg6ZheixFnRCfAGqt4CJ2W6vdkiYlpgCsUBphG/keT/CPdFZTrpESkb7o39KFELJUW2ab6D7VEBFo+wo8KCKPoS0CzmhGMh3JpojNnqPhv9Gec5XFbEmB+B0RN4WO6xTvvOLBOuCcRPD/7kNjzGKsxXGbGM6avu31d/t0OByg18kDWpMUM8IylBz+yVqKqCYFCRFQaSQwiGyG0YapbKAGjUiFCymAtqQAW1hIGYdEMYX4J935Nd+zjK2MYx2vsI4+NKcVSWyimvlsCaxatiSRv9OVjjRjDRVMopC3KaTKjuhuF3/akcJi62B6Ge25nPYkINRieI61/MNrh6l0BgoXUpbzECu4nc4cSgsOpQXL2cr9LOd/bPFHs7YJT1B+S6n3fmagBeunE3ZjIiLvojcmn2/XSR2OPRgRSUW9Jy5FS4NWoZ+pZxpqKb4zEJEj0PKkaJ/x+6OIj20hA9AOdhYvd3EgBJanUu3zRajAqk9MrcZanSrPGGPmAGc2ZAHIpu7dkwC8iRpfhNMFrVk5GvWKr4V7RGSqMSbensu7DU1OTHlYU4rxjT2PWNhV4ZtRUxQAOtGaDJpRylZWUpSOFlNeLiK3Ao80JMxpjCkXkV8Dn2+lqstSu1qMiv7HjDFFIvImaozDlyxjGEeSSvRyowqq+JKQVOL4qtJjICLHoysVdZq6ichHaNkD62M4a/q2R642dzgcfk4EOI3WIal9kUgmgUG0ZhzrGEFbTiCTMmpJJ4F80sggkQpqmWwj4ZGiXACnks10ipnIekbSNmKkuTlJvEEvPmEjb1DAl5Qyz7eIk4yQjFBGLXeTFxBM3UjnVjpzPJlczxKqMHzGRq6kA99Syhoq6UhKQEiBRrRH056pFLEm6PvQGr2n+GAShak/UMYI2nISWeTRjMNpyf/YwgK2bFea3wL7nkpUVK1C72mSkxGOpRVtSaGASj5lk1RhBgOniEidlBmHwxEQUlOAk30vZwGPA4NFZHBjCioRGYqa6KVESIuTSn3pFBE53xizI1q4lEJoWM6L/kxHI1JeZMqzQH4Wbdj7K0KNEWrQiNTV4FXjzwH+6m23wunFOOf1W1CHo0hCys9QO+4xfXoNcEmc59htaLJiajciIKSOpycD6OW50gGwhmJm8R0fsxCCguvPDTmBFUz90BYMXfAJKTvkI6yYKqeS6czzO/bV4QPmUU5lYEUXKBKR+QT7PU0Bnm1IuFpELkI/hIkpJHEweYH+Vt+wnEqqT8SKqU9ZzAB6R62Zmh2s5XIWnA5HbFoC5NSzgOLHG1eFoW+ENhQrqQiYTfSKkjZ8DK1oRzIrqOALNtO/nmjzcWRyHJk2lbAsIN5KqOE2lrEPKRwTsu6qdCSVLqSxmDIWUs4qKii0qXwH0LzO9SMR4QDS/WKqwBjziYicAkxYSFnOXSznPn6mOQmU2ojSB2zgenK3yYRiI9VMD675rELbvySfSxuuoD1Zvv+TYqp4lrW8xfoU4BURWekiVA5HHa4ETm6HpogdhxosXAOsU4F1JZo5tsuxEalXgZQrUdtQ/zLMenQ1+RktWXpNRI7dARGq5UD595D2PZrqNxhNJ1qEpvb5a6ZS0Hql09Fc52Goa98GNIL0U/C4c4AzrOlZg7AufcMFq6ji4BpUDRvNPLvRGLMh1j67E05MbQc2te9hgF8zgP50rTOmA1mM5Bjyacs/tS3WwyLyMxqJLYi3iNIKpzvDzi9oHupd/tf/zVcY1LXPH6GqoIoPmMcU22eqNlga+Cvf7rlozdetInI3MCZWJM1GpF4EEk+hL6dxiOcWCKjAm8rXfMC8BIC1FHMPb9CV9mSTwRHsTxtaUovhDT7zzCcAnrHHvmFP++A5HDuQEiAgNGLhjWvua7TrZ4sVGVn1fD0kIQyhDX9nDX9jFX3pHqgdikYmSRxhRVcZNYzmewCGkENimDDym0V4DGUBo9BODgvZQi0mRFDVYFgU2uz8VQArqPLQuoCrqjEHbwoeuaQS03IKRVxIu3rnH4l/U0ilXkdL0HuZ3HNpw210rjM2i+TA61ZQ3QGc2eCTOhx7NpeCCikvVW0oWrwzTJ/+hkYSU2hqX8qVaOPg8OXgNvZ1CAiqO9nOz7gxplREXgEuewaN7qSiNR5noBedRXZsJ1QwzdLz8xO+lKkgy1GDvr9ti5CyHASk9iO0Rqo+uqDmFHN1+gei7Tv2GJqUm9/uhog8C1x+PD0ZyTExx7/Cp3wS+LMHsI66+vmbZjtz13e+JHTBYSQaWd4faCcIJ9OHE+jFd6zkNWZjgDRSOIx8WtGcTWzhS5ZRHly13QhkCsLhdOEYetCGlqynhNks5r8s8aTWH4wxEe0wffP6EDjxFPoylP4AVFPDPFawnk1soZKVFHrNliOyD5lUUEUxW0hA2JcclgftkhcDpxpj6m+85XDshYjICcDM1iTxLn3rTfWropbBzKeIap6hW8QmuEsoZwQLySWVSfU0Di+hmlEsYjWV9KclD5MfU1CBCqlbWcZcSuhACuM4gJY+4baKCoaygBrgV2TTjxZ8zmbeYwOJQGuSKaCKy2jPaNqTiFCD4TnW8EKw7edPQK9INwsikkbQFexkYHIrEvknPRrUuPdntvIbFuMTZiQB0+gbEpEKZwNVnM58qjAGyHemFI69FRFphprMdCdo2nUr0LyA0KhPAXjLHcXGmF3ev8guyCxLAVkVNrdwClBhYy3c9zPG/Lyd5z4E+KoFmjY0E220W4Km97VHhebFBF38FgKHgVcV+xKa0fQl8H6se8045nMm8M5gVNTFy2DgXf31LGPM5O2ZQ1PDRaa2EevadyHAAHrFtc8AevMJixAgiwxKKJNqagcBg4CfRWQM8I/wSJCIZKFprlcQZhYhCFdwMgezH6Cphq3JYApf8xMFfvtzj6VoT4cXBWE0J3Gob20hmwy604GDyON5ZmDgXhEZV08RYg/gxBSSOI1DAFjNBp7kPTaE9QpLJpHD6MJ+tCWVZCqo4icK+C9L+SXgzpXAaE7mIPIoYBN/5wPWUNwDeF9EjjLGuDoqhyOUj4FFRVQf8Bbro9Y5AUygkCKq2Y9mHBohxQ+gE6m0IpFVVPAdW6Km+rUkib/SlUv5nrmUMJrvuZZcjqBF1BTeL9jM31jF9/Yr/iZyQ4QUwDsUBoTUA/a6dgY5GAzvU0xvmjOTjfyDtUyliANIZxFl/vS+MmBgtFVX+3o5gIjMBH7ZRM0+v+VHnqRrXILqZ7ZyLT+yiRp6kk4RVayjinQSSYshKLNJ5hhaMZONgta7xVuj4HDsEYhIZzTz61KI3DH7cjT85MV4Pwlu2iE13tvAAEAGU7+QAmiLCgfrjHci8M/tObEx5msRmbwZzjw+wvYFaE3EHOBJ9B9oEAEh9bYx5uLtOX8ESoHIHtP1UBT8dXP0UbsnTkxtO72B9E60DqmRqo8OZJFLa1ZRxGWcRDta8Rnf8zELKWTzvsBzQB8RucFbORCR7mhzunyAtrTkOHryHStZxGpOpk9ASAUn1pnedGYFhSxiNVup5EfW8qOu2n4G9AASDqdLiJDycyj5fMv+fMGSBPS69vsob2sQwMHkkUYK1dQEhFQyiVRRQ3NSGcTBHEk3MsJuVI6nJ+fSnzn8wDS+YQsVTOMbetCRtrTiFs7kz0z2BNXj6OKLw+GwGGOMiNwHvPaovc8YSg7JvtLjKmqZQCHe9kPIQKJEsFJJ4ExyeJl1jKeA+8OuL372pRkv0J0LWcT3lPNbfqQTqQylDQeQTnMS2UINiyhjAutZSaBufCvQ7HM2c3zY9XOtFUX9wqJm/WnJ+xQzny1cQDumWbMJn4gCrVvqHU/6tIg0R5339kkA1lDJr1nMJezDGeRErKHaSDX/ppCx/BIQUs/QjVJq+A3f8wuVjKeAS2w6YjTaBiNX0f9xHY49EBE5FW15kgFa8zOIoH3cNLQGYhKatjMWSCSkNqexFh9agqYEVaBv4Fm0P00p+mb6oive5wIdwvbbHkQkHavhEoFz0Cak+wC/AC8Db6OK7T1Uqdil7Ll26I7mW6Dic0hdRnypfkvRvlPoP19DegvvFjgxtQ3YWqWjAErZymS+pDsd6Eb7qDcoHp6YqKCKDJpxCgdyMn2Zyw+M41NqqL3WnuM6tKfabCCnMzmcwxH0oCNlVDCJLxDghHqiYp3JoTM5ABRSwp2Mx8Bw9O+aY+hR71yPoQdfsAR0nzpiSkSOQ6Ncgf5W81jBBkpJJYkKqsmhBb/jNNpFKDD3/5sMpC992ZcnmMpy1vM8M7iGX5FOKldxCnfxule4eIsxpqDeiTscexnGmPEi0qUWHniElfyTtQyiNTkkU0gV0yiiyPZVAphMESeRFahhCmcobXiVdUxjA71pHtEe3WMuJZSrt0wt8MtKKjo8Hj2ldwV6D/IxMPttCjmeTPr55tHeJqp8zmbOsNcv7zwA66liXNDV1KMKvcm6rgFOXy8D/dqTwsPk8wxr+A8lPMFq/s4aBpJFb5qTTiJl1LCALUyn2KuR4mha8pBNbUwnkdvozPUsYSLrGUW7OnVgfnw9saLnUTocexhWSE0BkgajRYP9CK09egC96R5jB44IPcQMtByoMSgB+A+aHrQ+bOMm4FP7cwMhKUQN6jMahSeBIzuhYqln2MYz0bS+XxEStpsIXGSMia9fTgMwxmwQkdcNXPQkan8ei6cINPAdvyfWwDsx1UBEZARq+HAAQDFbeJeveZevaU8mp3Moh9Ml6v6lbAUIMYZIQDiK7mSRwd+Y5gmqpcDvgJye5HIlAwP7rKSQamrpQjtyovR4CSeHluTTjqWsS0EbVMfs9+Q7dp6INPd/KK2Q+gDb5sDrb1VorxsVVNOc1JhCyk87WnEdp/EnJrGAlcxnBQeyL21pRR86M48VKWjx6R/jOqDDsRdhjBkjIkuBPxRR3TOC4FiIGlAdXYW59jqW8Hs6czqt66Tl5ZLKbXRmDCv4MyuZzxZG0JbedtHEYPiOMsZTwHsEvhevRAXN6ai7aAeCtUlrgHHAVF/U/ckqzG+vZwlnk8PZ5NCBFPrQHAHeYwMGQ39aMpcS3ldjmhr0u7uv79izgBcbsshiaxDOSSeBv9GVPJrxGPszm028xXrmUMK7bOBdQr/zdRWtJefShmNoFfLvdiQt6UgKq6lkDiURHQpBa6ZmB42OI6a7WLesgwjWkXy7J96AOPYebGrfW0DS9cBfIGK7bAH6A+8ANxJwmqhFr11/bERb9JmA+dpqv75owWUJmk7nFWLOAOYTEFuG7XQlFpEOwEWJRBZSHj3RqN6BQI1eJ6/dGULKx5PARU+gfaTq62s1gRDHkKd24pwaDSemGoCI3ImNxLQkjX50JZN0NlLG5/zIWjbyDz5kPZsC9UN+1lDMKopIJYkOEVIDD6AjF3Is/+Jj0AtHy87khAgpUKEC1EmZi0XzQHs3TaVdTwnZUeomAAqD3/MJaH3jWAikx0wAUg9hP77mJ75hOeVUkuMTaIM4OG4h5dGOVvyKg5jA53zCQg5kXwCOpxfztDOCE1MORxRshOp1tJFvSPNF4GObEvgWQBXm2nv5mX+wlqG04cyw1LYBZDGHEj5iI++xgffYQC6pZJLERqpZFUzZqwauNsY8b59Ptj+xuB6orsJc/ybrebPOWi+8T7EnokBvEP6fvfOOr7o6//j7ZENCCISEIXtPEVBQ2UMFwVW3VFtxtCrWShe2tUU7tEtbpVoH+qtKFQcOlou9ZSoQNmEjGRAyyL7n98c53zuSe5N7M4U8b194c+/3fMe9kO89n/M8z+eZorV+I7RPxS8PAFxHCzra+2gYym3j/hcO8R4ZtCCCtsTQkWhaEc14mtPWcx/1IRzFWJrxBifZSV5AMfUyJ9zNiMGE/h1sI8ypmGwA7xMVKqXewTR/P+8aXgoNggeBuEkEFlLehGFWTfYD883TmHpu2DsGUOHAdExanb+ITG9MxO1poNQIr7FULzXxPiD8BgILKYc+wPXAByYb8F7MPLJW0FpvUErNcMGMWzB9pKbim/K3H6Oc/gVOa/QZ5+v9S8RUkNiI1B8Uilu4jJH0JtzrdnADg1lOCu+ylo/ZSBLxXEJXn2MsZTsAQ+jmYx3ukE42xzwTh3jnuGUb8EbbvzYnyhUseZ7Jz1qg/Sp20cM7s7cMq3zNK7x93+8AWnQkifsYyz9ZyG6Os5DNXE4PwJhNXEb3kK7P4XJ68DEb2cER0skmiXjv6+yolFKhND4WhIaE/d1YZv/4215q04i3Ab85RlGH52xqWzKR7rS2NIq9J/1ngIijFMZ6iahTwCzgP1rrA+VOVPl1lgKPKqVew4ibSfj2upsHDAM6Yux8X9Na7w/1PGVRSsVh+/Ld6KeUfA9n3RGpDErIIJcTFPIsXQMKKQfHTGMpWdxEko+r3ymKedn0mXJe0sBse00Kk/EwA8wMrC+xbuG6nbxobepFf6CUmgE8KfdA4VzBuvbdC0ZoVCakHMIw9QXzzdN7lVJPaK1Dm/jUALaR8F/ACKl/AnmY0PsUjK3yPoxiSgEOAb8C/mx2f1opNbsaQnAkBF/4dBdmpRsYRS2KKcuTAC6Y8SzmcxmCcRTJxKRret2kZtTB9dQbIqaCwOuLjlu4jDF+0tzDCXO/Poc1LGALF9PFXUO1jj1uW/SRftYXVrKT/7HKu/cTyTSlJxeUG9uOFkQQxgFOkkFOUKl+GWRzwJP2cyvABvZzER39mlBs4gAbfBdNH1FKTcK4fnYHGENfwghjEgPZywk+5xv223NcTJeQI2cOccRwMZ1Zx16+Yh8TGUgk4U6T4UiM+2d9rlAJwjmNnYi/YoXMeGBqMfqqYxR55/tp4DNMOsenQCRmUcVJr9tbExMbrfU2zKr1g342L7KWxKOBSUqpbGBpNe3EOwKNOhDtjko5FOHiUfZxFhediGEI8awnm1QKeJR9fERfH2OPsmTbrIE95HM12xhGU5KtlfsqzniLU4BZXuLwd8CMMOB2krmZZB/hdpRC3iWNd0jDZQUX8EQ1PgNBqEuuAxIHYCbboXApJt91qylPuA6YU8PXFgw3AS0uxESk8jCTqDfAZ1n8cYyYmYMx0OgHbDPGETdi+95VgSZAJZY2Hry65QVXA1IN7PfIE0qphcBDGm5bVyaiDryNiahvrO3rqU9ETAXHSKBXPI38CiFvRtCLRWzhBKfZwwma0IilbHcLqe8xhLZlnEBXspO3WAnAYLqSQz47OcYIevm1GI4jhkF0Zj37WMYObrK9nSpiGSnur3GFQtv/XuFLttKVYfSkBU3IIKdsnymHWEyaMGAszAdaEdadNtzFSN5guVtMdaqgYD0YOpHMOva6a7GKKXWEZinwgJ1ULZEeLYJQdWyU6ktMyl3Zm43CfEd8aaNIpZhoVp2glBqMmZ9MLHNtWim1APiD1vqrKhw6zvyvvIX5Ss5wkmI6EcNsehFFGEW4mMxOUilgBWcYG8C9tRTNYk9mwfpi9GBrf14WjYnoPWTf5yVYIfU0nRnj5/htiWYa7ehPHI9xABfMUEotPF9TZoTzjh5gXPsqtugqj7L7bTVPq5buUn1+BKZG6hlMRKqskMI+fwNjQpGCqfmyN8wfU3UxlQN4OuhVglelbJ3Zj9v70A+VUtMwZVvOgtvXDaXWU8RUcIwBk54XXkmAOoJwhtCNL/iGV1hMDp5WJ99jCFd69AhgUvv+xyoAbuNyRtOXv/IxAB0q6GYwmr6sZx9fso0utCxnj+7NFlL50v5KxxJNKS6iiEChOMNZvmKf49pXIWEoJjKIeWwkhigivSYjl9GdROJ4hcVkk18uNTFUYuz+BbYX1TusdjaFY5qAg2dS9Uet9fpqnVAQGi4/BsY1J4Jf0Z6BxLGZXP7CYU5RMs5u/1clx6hRlFLOSm5UJKpshEcVoycBVyqlbtdazw3x8Lnmf+X7Vh6zAe8hxBNl7/VRhDGEeFIpcG/3x1qyOWZs2g9iarLbYb47OmFc+3Iw2UCzy6QrTgW4jWS/QsqbsTTjNpL5H2lgxNgPK3mvgvBdIA6q7hHutV+tR1sCcCF4bPmmUF5IOTguWX/Ex8avXzXOvRwY/SbGta8yvApKl1XjnFXCCqeldX3e7wIipoIjHiCBxkENbmrH5ZBPNBEMoRsj6V0uIgWwnBRcaAbTldE2TdAxmIipQJB0IpmJDGQBm3mJLxlHP0bR28cAIoNslpHCl2xD2ziTUzdV4LHmRWGWSuOIIZJwTttoUCJN6EgSB0knkxxcaE7YWoICiiim1EdQdacN/enASnZR6HX8quBcXw75/I1PKMVFBGFcSAcSiCWLPL7hkCrB5UyqJmut36/WSQWhAWDrF67DrBbHYTJTmEZbd9RlLM3QwHQOgJkb1JmYshGp/wFRN9KCH9PGp/boNMX8h+N8QEYU8LZSaniIEaqDQP4hChsdpMAn1e8Cm6GynmyKcLkjU+vttOiCADVTaRTxtDHIAVNDVmrPU2HhuXXtu1UBtwQZzb+FZN4mzWkVMa2hrPwK5w7Wue8+TBupOKA1VN0j3Gu/+mr2GgfuJrhlquHL4/g5e3UNr44IfAV4/EMIT6FiE4odmPRCjCnQq9U4pxAiIqaCIxsgi7NBDT5jx11Gd27lcr9mEwDFlLCG3QCM9arDcgwmCioRJNcwCIAFbOYLvuFLvqEzLYklmjwKOcBJr9Q+GEFvhtPLJ51vFTspsT4r3WjFYdujeiIDmcQgp06J+WxiAZv5mkO0pTlHOcVmDjDEx5cCmll3wFTSKk2JrIhUs/LKbo7jQjOS3lzDIJrQyD0mh3zmsYnlpEQBs5VSRyRCJQj+sROch4B7oPzKzt84wl7yuZlkWhHFQI/TZ7uyY2uZx7FCajrty/Xua0Yk02kP4Aiq3xLcoi0AWutcpdRs4N4PSOcuWvIhGWwml1xKiUSRSgG3ksJQmrprphKIYFiZtfVSNGvJ5mkO862JSq0FngvhvV4ERPcltlJzC4e2RNOXWLaRF41JqWmQK8HCdw+lVA/grxgzmXJpPIswEZtQUv203c+yp1oXWHVygabO7KOyPB4n7OyZrVRdBGqtjyul3iiFu8djZfVo5AAAIABJREFUPgt/3UV3YNIhbbz9Ta318aqeUwgdEVPBsQR4fD17uYHBFab6lVDKevYCRkwFElIAaWSTRyFJxNPRa1XSaYB7iHS6mwUdvygU13Ix/WjPMnawkf3umiUwaXlOROoRrqYXbd3b2pHIOPqRRwEb2Y8GtnIQjekv5Qgp5ziTGMg69pJJDr24gKOcYgnbuYQuhHl9HoPpyidsZCP7uYlLq2RCkUsBG82KuFtI3cGwcuOa0Mj9uhVUvyGESZUgNBRss8z3sSusPWjE5TQllnDyKGUNZ9hNPv/lJO+Rzl/oTJ5jZuvTB7LWr7MjMDESxRRa8SmnmEsGe8knn1IaEU43GvE9WnA3rfiETIrRk5RSHbTWh0I41YvAve+Sxhxj6lCOIxTyDp7WVVmUcAspjKUZ8USQTQmLOe2k9oERUtdorfP9HC4QcYCPJX0wNPWMr6+0J+E8RCkVjqdPXBKmXdJsYIHTH66CfS8HFgAJYUAzsEuzdjuwBVgFDA/hmtbhrpfKAFsDUfd8Awx3llJew674+BlYhCcc7bX0Ut1a06lA9yMwtD/G/vwujNnESUxq30e4hdRqO16oQ0RMBcdyYGc2+b2Wk+LXzc9hBTvJJp/WNKtQCIFJlYPy/aIG05VNHGAFOxlLP78mFN50IplOJHMzl3GETAopJooIZrOCDHLpSzsfIQWwlj28wXIf90Dnpw4klTtnGGF0oAWZ5NCG5kQTyUHSmc0qJjPMLaiSiKcP7djBEdayhyvK1IgFwxp2U+JVz1DR5w0wiUGsZhcluCYppTqKKYUgeLBCaj4QMZymTKEVfYn1ifg8SBu2k8drfMtKzvAI+2jsWSSpTo+UUBkNqC7E8H12cdqmPDvkUsoWctlCLs2IoAsx7CJfYWqTXg/hPLuAzFJIDAfGksDVJJJIJJkUs5BMlpFFKdCeaAbThA/J4BhFvFG+GfJBjDh7PkQhZd4SRqiFwhnP+PpKexLOM5RSLTFiaFCZTbcAG5VSk7TW5f7xK6XigZ9hFjPDwfQUysTYf7a0Pzu/GNdiwkuBK8I9uHDbiwO8Wh+26JaXgOFfYtLsUjBipqwJRZF9/bgd94Vn03+qc3Kt9Vml1JXAzFK48wOI+KD8sBLgTWCq1jq4NCqhxhAxFQS20eWTwNvvshYwrn0RXvVCJZSygp04269mQLn0lLLE2F/Dsv2i+tGeZsSSxhl2cYzeZYRQIOKIoZe1Uk/hKBnme5prucRnXDrZbiE1mK704gJ2csxtQrGfk7jQPoLKhYtDZACmYXEs0RRSzCp2cZRMRtOXQXTChSbPvp9FbOFCOoTUuPckWXxq16HiiCGXAv6PZUxjElEB/rnG04h+tGcLBxVwBSbHWBAaPDa1730g4naSeZS2fhdnFIp+xPEPuvAsR3mbNHJNvGYV1ZwIhEg8wC479epGDIOJJ49SCtFEo2hMOF+RzT4KvMVWqLXtM4HElkTyPN3o7J2QA4wkgQPk8zB7OUwhxyh0lnd2YT7PGIyQ2Qh8VtmqfQVsBQq3kxd9lMKgUv2OUsh2U9daCHxdxfMKghsbkVoADErECIQcTNizEDgFFwPzlVKXOv/WbcuYnwO/B5tOg0ltc4RTMXAao7JaYbz8j2ByUw9AhXkrLowbnu0xlYtZsKgv3gf++Q20+A2mj9QcjGvfFEyN1H7MqtNxzGdwPW4hmI679VPVsQJpilLqt5ieXaPwuOYtw4hNSe2rJ0RMBYnW+h2lVBeN/uMc1rCILQyhG01pzBnOsp69ZHuVG5b4cYoqSzLxxBJNOtkcJM2d6hdOGCPoxcdsZC7r6UzLCs0oylJAMXPxlA4ll5lnrGaXW0jdY4wKuZweaDQb2E8WecxnE5MYSBhhuHAxj01kkkMs0bzLWk4ZoXYUiDlIeovXWcp/rXmMI8TyKORfLOQRrg5KUJ0ki3+xiDwK6Us77mA4f+cTUkljCdsZz0UB903w3MunIGJKEBweBOKG0zSgkPImDMWjtOUohazkDMDaajSbrAoXmuuAH9KKpWQx2yvVzqETMUyhFf/Ht06KXtAhcKVUG+CucPArpBw604jn6MbtpDh384XALVrrvFDeUEVorU8ppeZouOtd0pgWRHnau8Z8AuAdMZ8QaoiJWCF1Ck+WSi4mPa85bkF1NTDPCqnnsOlkozA3mmsxTYYKgU+AFzCz/N/agWuAyzGC6jK7/VLK9D3ApPb9GbeQKgFu1Fofpp7QWhcqpX4FzHoaeBgzyTiOqQErSz4+EbXpNXkPtYLpSc7jBrjnIsE2ohYArfWfgNuBlGzy+YJveJ91fME3jpBKAV4GeIuV7ORYhceLJILLTfsFFrPdZ9tI+tCCJhwhk5f4olIzCocCinmJLzhCpnvilFEmEyTTRqx6lWkI7B0BW8BmfsscXuILfsscFrIFMG6AJ80kax/mHtoRuB/Y4kLjQpNIHNO5no4kkUkOf+EjPufrchE4h1wK+Jyv+Qsfk0kOHUniPsaRSJy7JmoFO3H5rWwwOP2ogCFKqS4BBwpCA8G69t0LMIVWlQophzAUd3taRN5tj1PrKKWiMQu6/JBWvE0aqRSQRCT30IoZdOQeWpFEJKkU8DZp/MBzndfZ/YPhPiB8FAkBhZRDFxoxigTn6fqaFFJezAR4hzTvPlV+Wcxp7zquf9fCtQgNk8lgIlIak7N3AhMZ0vhEkCbbx58DU2MwIZelwM14urVG2+dL7fZozD/ytzFhLDAh2csxOYW/Bp62jwPt614RqYla689r7q1WDa31a8DvS4F/Yhr3NsKs4kwAfoD5hXwQn0LGUxhdKZznKNPAWAgFuyozEpOnH49x+1uCqa0CYyP8cDhhfJ/hXEr3gBOZdLL5HXNwod19phxOksVf+YRcCmhHIt9jCD25wO+xXGh2cYy5rOeILftsSVNOcoZR9OF2hrrHfsRXLGKrT2QK4FUWs4H9dKMV35JFjq/4cQGHgb0Y2+I53vUBSqmBwKYYInmMG2hFAgUU8wpfst3Wr0cQzsV0phPJxBDp7iG1kQPuSF5f2nEf49yROBcuHmcOGeQwlfH0sy5e3mSTz2PMdrsSAr/XWj9pr6s5xjErDnNj3iqruUJDQCl1K/BODxrxFr0qTTv2RqOZzE72mEWi27TWc2rrOh2UUpOBt7oRQwmQSgFX0Iwn6Uik17pfMS5+x0G+4DSdiCEc2GfuVZO11pU2xlRKLQFG/4MujPQIpYAsJ4ufGX+upVrrMZWNrwpKqd9jG/feRjK3kOyT8neUQt4ljXc8ZhkztNZP1Ma1CA0P53fC+ZI8gUnL+xbjae68jtFH12OCMrEfAN8L4vhzgRvtcfYCnfGxDfdHBsba+8X6jEj5Qym1HejTD/gU08C3LMeB8bhdJz7XWl9VV9cn1A+S5lcFtFGgywjQFE0p9ShAKa6H/8tyFrCZEfRmKD18zCZyKWAzqTQmilwKeYc1HCCNMfSlE8m0JIFfcA3PsoAjZPIvFpJMPCPoTQdaEEMUBRRxiAxWkEKapxvDKaC5jSCxkp1cRAe3CcVQevIZX/MV+9BoetOWFI6ywRp67vXttV2CyaW+vZLi6gfMsXvQyk5QYojkIcazjcOsIIXtHGEde1ln3Q7dnxdGRI2gN/1o7yMWwwhjIJ35nK85RLpfMTWfTZTgog3NOG5WdlsqpS7BZBbcCj6FCIVKqXeAf9uu3YJQr1THQSvA8ZweL7cAXE7TkIQUmBqqoTR1xFT3UK+hivwIYDDxzCaNJCLLCSmASMJ4ko5sJZdUCriDZEdM/Riz0FMZTQASg0yd9hpXm855TwK4YMb/SONt0uhLLE2J4AwlbCfPyyqIGUiKj1CzpIP5B54L/A34hX0Es2JsxVQacCcQO4rghBR23EjMavNcoAU+FqEpwDt46n/2AB9VlBqnlAoDrsIEgoZ57bsKkz34mdY6cCpLFVFK9QP6NCGwkMK+/inQ01zUlUqpflrr6jr6Cd9hREzVAlrrUqXUI5iFid9kkNNhLuv5hA0kEEsMkeRTxGnyvN30SoGwr9invmIfScS7DRi8+1ulkc37rAt06sMY15kXMQ057wfGleJq9zyfMpyeDKMniTRhEgOZxyY2sN8tojAR/WMYt80MjFh8TWtdvmjBC6VUHDb8P6JMb6kwFP3pQH868CKfsRVf9+IYIpnCGPrTIeDxY60Wyi6zlpVNPvNNnykiCKM5cY6Y6gV8BUaodSTZ/VkeJC1am4j8D5RSM4AntYRnhXqiqg5aAY7lt8dLrJdRTih47VdX9tsXAuTZKPW1JJYTUg6RhHEticziW8566lP7BXmeHIDMIFOnvcbVmnOevQc9oZRaCDyk4TbbR8qhEJMl9W+t9cbaug6hwTIbuKUQ8535jP2DfV7gO+5PYFRMKDyIEVMvgLWycnNAa/2HYI9j73NzKd+/NgFz75sEpCilbtBa13Rfql+AcewLJKQc2mBU5wvm6QOE/pEJ5xAipmoJ++X4ilLqNUzEd2oJrqsyyAm0ROzMXA4BTdLJbp7uG2mahanH6o0RLm3wrMYcB94CFnqtZK8D1tlV77+X4vrpMlJYRkpFl62AtsAFmAneksqElKUj0KglTd1RqbIUU8oujNFMaxLoRVt2cpQTZPE2q+hDWx93RG/yMAtUK9lJNmdJIJYs8tjGYUpwEUEYkxjEPDY5u4xWKMbSl1H0IcnLgCOdbJaygyVsR6Nn2JclXUaoc7wdtFoSyW0k053G7OEsb5NGGsXlHLQqOJa7x0vZbXNIowWRXEWzgOLEH3kekVJX9ttxAIV2galdJT3qnDS4Ak96b7CibzkweiGZQaX5LfB0y1kW5PGrjI2W/1ApNQ1jeubc47+W9GShFlkAbDwFFzfH1EhlYyJSBZgJCMa5chG211OoDR2vs48pmFXbRNx9qLYGewylVHdM9KlFJUN7A6uVUkNrQlAppRpjXE3vxPlfENyFW0zVSnqw8N1BxFTtcwEwArgEP42/Y4jkMrrTmmbMZxPZ5HfAFHd+jueLdK9Xf4V9hFDQaCdhj1pR9wBm1SYBs9LZHAiLIIx+tPcWKaoE1yRMePp2rfXcSk4TB1TYoHgbhyigmNYk8BtuJJJwiinlT3zACbL4hkMMpHO5/Vy42Oxp4Kut/bmbNjSjOXHMYxOldlKlUNzPOAbSqdzxkojnFi6jKy15mcVo9Ayl1EJJ+RPqgYlYIfUmvWhu08mGEM9EEvk+Ox1BdTUwz98BvHq8/BavaJQC4ginkFLSKWYGB/mAdJ6la1ANYjWa1TZNGJN2UxfkAk2j7W3ySADDGoejdpElxvO2gxV9rwCPLyMr/AD5FZpQ7Cef5WSBSXd+NcjjVxsrnJbW1fmEho3NppkEzLeufYA7tQ+MkJqESZlXjSAIE39fojEizfmtzjIPLoJ037WpfR9ihVQkxl3nXqATkIr5BX0VnFhyC+BDm2JX5ZQ/pVQspiZ+sPNayyD3Tfb8KM21z3PEza8Wsc0ydwC/BBLbkcgELuIGBjOBi2hHIgUUs5QdfMB6htLT2fUurfU2rfUa+1jtRnX2OA9qrdsD4zCLTmE9aEM7WrCL4ywnhV0cpx0t6GGC2FHA20qpwRUdG3vPzaeILPKYxyaeYT5/5kOeYT7z2MRhuwbVi7ZE2ghUJOHuOq70APOgHRx13AgPAl0xqYvuPMfjnGY7RyjFpTG1rYyhr18h5c1AOns3A36okvcnCLXBZDCGA83L1O80t5Eq73HeKMMvMFHp32Hv5Y4Q0UAOpYQTxlgSSCaCbeQxjX0UV+CK6bCNPKdeKgO7El0HfAOe9MJPyAx4rcW4+MTeUxp7ItpB1SRYa+E3SoGH2cv+AKXw+8nnJ+x14nNvSg8X4XzGphNfigk6zcGI+Tn2+aV2ez6g84FQvb4L8QipBHB+r+aHYDBxFTa1LxITSnsB4/7XzD6+gHEB9Lqb9gauDPFSy/IiMLg9JgUHKN+2OwBeaT3SXPs8RyJTtYQVUvOBiH6052oG0Ilkn0Lw67iEVNJYyBa2cZjPPNHuypuNVI/HgahIwtmN7/wgnyJS7S3ARo+iMKveFUX1DwL5JznT6DH+510HBsBujrvfdwpHKKbUHZnayVEAkvws3Jwmj/+xynn6H631AUyvv1es/flkzCLRScxnvUYBo+kT1Icwmj4sYRsablNKTZM0GqGOSQLoTuNyG1aQxQemJhxgolLqGq31PHC7ibp7vAwijptJZgRNiSKMIlys4AzvkcYmcllMFteQyHrO8A15fMZpJpEY8KJcaF73mNC8WhOLOUHyEjD8K7LpRAypFPA7DgZ080unmEaEsdYTQQulufBUoPtJiofeQQojSWAiiSQSSSbFLCCTZWQ5Um61HS8I5zU2k2UeASLhWmuXdbPr9wnG/jxYnBWZcNxRqdOYheZgcdcc3QtcEWDQlcA9+NwMHsT4QYSMUuoCYHKEPcC/MDepN4EhQez/hufHJVU5f01jHV6nYGrha92htSHRIK3Ra9o9y8/x22MiUnFj6ctNXFZhjxcXmvdYyxJPr6mdWuuyxZU1glKqI0aQKIC2JDKK3vSnA0c5xSb2c4zTpHOGXM/akwY6aa0PBThmY3vMlmEoLqIjl9KNeBqTzVnWsZetHHSLrFY0pTft3DVTzYjlj9zmrply4WIHR/kfq5zmwGuBsRW5CSqlxgCLO5HMdNOqJiie5iNHPI7RWktajVBnKKXmALc8wgXc6emXxAprxV3mzqyB67TW82xE6q9RKP5IJ8bQLOA5lnCa35JKEZqxJLCYLPoRy+ueKLgPLjTPcpS3ze9ELtCnrqyJbZ+oo0CLW2jBe2SggSQiuZZE2hLNUQr5hEzSy5tHZABtQ2mOae9bMzElEP4WFksw86apWuuzfrYLQoNDKfUQMHMUoeWhjsLTOwYjpCZprdeEcN7T2JrQTZhIVCA24+Pok6W1DnyTrPicM4Df3wy8iwl9X4jJ2dtFxSYUxzEuYDZVsp/WensFw+sEpdRnhfBmNNwpdu01S4OLTNWke1YFPAjE9aN9pUIKjOPdzVxGOtls4zBQSbff6vE4oMJQ3MEwhtGTw2TwDAs4EbhhpMKkEt0TYPtMoGUzYvkJV9OmzOSuPx05zmmeYyGnyeNbzvCtZzUZjeZjNhJLNHkUspkD3o2G1wLXVGLLDrZuK66SovXyO7nHS06zUNfMBm55mzQmkuhO9fsPx9HA92nJ92nJm3zLbNIU8KRSajm272VlQgpgDM34I/BLDrCGbKIwKXxnKKapVzKMRrONPF7nW1aa380S4Eat9eG6siHWWhcqpX4FzHrX+n1FoUinmFm+7RroTAw/pS3PcYx9Jk3vRChCyp7vLDBFKfVbzGL3KDzvbRkmKiepfYLgy5vAX5ZB7FyC7zPlJaQWAtO01rtDPK/7O7riJH5POl7Z/arAFWCMJMDYhY4DvsS4ilXWZ8oKqc+/C0LK8lq0iUzNqu8LOd9oUJEpG5FaDwxqRixj6Es7EjlCJovZThZ5YAotK3XPquAc3YCvgUa/4jo6B12qCPs5yV9NMDwDaFfT6TV25TcTiP0+wxlOLw6Rzj+YRyElJNCYy+lBMk1J4wxr2O1ty34WaF52wqKUagMcDkOFP85N5YSUN8c5xR/4AA0MpTtfsZ8iSgINP4jJVX4+CCElkSnhnMPej9YBFyfbGqkeNGYa+yhE8ykX0oJIMihmvCknysKk3M4cRBwv0SPoc93PbjaTSxPCyMFFZ6IZSTNiCSePUlZzxqmRAjMHuFFr/XkFNsTepAA1YkNs03e3AY0aE8b79OYwRSzlNDmU0oRwRtOMQcShUKRTxI3s4KxJyLtQerkIQu3jRMejMY3dKhJUc4E7cNdY/Vlr/ZsqnrM+IlPbgL4b8LhyZGAKy/ZjVNpdmNB2MqZG6g37xwqpfcBlWusybvDC+UZDi0xNxAqpX/M94q2LUy/acind+RNzySKvQvcsf9iV2wsxFtvXAKodiXTy9nIJgs4kO+KuBcZJtKZzWm8CYtuSyDB6otG8zjIKKeFiOnM3o33syScykNdZykbjptcY08S8bFPM+4Dwi+hYoZACaENzLqIjm0llFe5FqXWY3jj98KwKb8SsdociaLcChQdJi04n28cOPRDpZHPQCKlCjAAWhDrD20ErjeKLnysTkH6Tb7mTVrzpicocxDa2vTnEe8vNJLGZXHJtFdABCjlQJtqDmSe8CrxoI1J1ZkOslErA1D0OdV6bSCLJRJNMNBcHWFxOIoqJJPKeqS+TXi6CUDf8HWhfCFNvxDTkfRAzaYnGfKF+jAlbe0WkZmIWg6rKKoyjIK/ithz3Sxl7wJXVOGc24HOnbIGZtNyOiVD92/7xw+fA5JoSUkqpJEx20Eg8c6XlwCytdXpF+wq1T0Nz85sMxu0tvowdbjyNvN3dyrlnlUUpFa+Uekgp9Q0mJWYLxqRBgRFGqpL0vnLHRNHH4z3RPaSdg+NHAKPojUKxm+Oc4DQJNC4npAAiCOduRpPgKZD/lZ9jjgS4lG5BXUCZcRnAOK31h1rrJ7XWv7CPC0ONDFrziDkaWMqOoPZZyg6nLuUdMZ8Q6oMADlorAT2bNMbzDbON4NeY9L6+ACNoGtJ5nH5KGuhNIy4k1tm0FpPCexum5ugxr9Q+tw1xBIqbSOIterGE/rxFL24iiQjPPc6xIQ75O0Up1QE4gpeQAiOmgsFr3IhQzy0IQujYPpo/wRhI5C4HbsVYnzeyj7fiFlK5mGa3P9HVS4Vy66dXMUrFH59TLoetIt1VGV+Aj5EEYG52X2DsR3+MqY1qja01sOfUWl9VE0JKKRWtlHoBU0/6FCaDcKh9fAo4qpR6wWYeCfVEQxNTSQDtAnxJt/e8HnDZt4wl8UxMREVFlhEiy9nJdGazht2UELwu8OrVVBs1PBcCXGQzirdyEIDL6RGwYW4E4VzuSSfyl1fUBCDejyOZP5xxVmi2gCBVWHDMBFjCdndvqkBs5oC34UeAhSVBqH201qVa63la69u01mO01iMwi7xbMal9W+3zxYCKRhEV4q07ijC3bfo4mpNi0nddwG1a6z9oreeUSeF12xBHoPgnXZlOe3rSmHgi6EljptOef9LVW1CFbENsJwAbgbgkW8PlHK15kIkTzTzjpO5REOoIbfgbppfmQ5j0XJetTXDZ5w8BF2it/15NIQXwGSalmGJMiOoBTErfKfvoNNL0sqdJIbDuCoZXANeHwE4/G/thahF2YW7ONlHaBfypGud0Y++PC4EHFERNwhhhrLCPkwBlWtg8ACwQQVV/NLQ0v3SAI2S6+xt5c9jT6T6t3EbKWxJ3pzWj6MOFdHBbfX/DIZaxgz2c4DR5/JflLCeFh5kQlDlCPkXOj7XRlyAOoLFtt+ecK7mSVW6vlDl/XXlzALIJzuzKGdeYKPJMFnVXQuiAXhFa6w1KqRkaPeNlFjOGk4ymj0/KXzrZLGUHS9iONnGpGdKwV/iuYW3QfVKNbdRHF6JVEa6QBFURLgptHHYz2ZSYnyvq8eJOl7ueFlwaIG32UuK5jkQ+IMN7v1BsiB8EWoQDv6Y9j7KfCBTFaE5RQpsgWoOe9tRdSi8XQahjtNbZmOjPC/Ye1QjIrwlTmjLncSmlbsC0KmhRjLE/r6AfQgamlrPK16G1PqaUml0CdzqGE738jNuJWX2yy+aza9C45llgTCuMohpQZuPNmJSoq4FvYawdL6nO9UBDi0zNBljMdrLLNGrMJt87UjE7wP4/B6ZGEs6PuIKfcQ2D6OzThHYQnfkZ1/AjrnBHew6Szr/5rNIIlUazgyPO02oXc/shF+CsLQV1omBpXs56/kg3acOAR+l5sRxgnemXWynOOC/jiX1B7Rg8TwIzNJrFbONx3uFpPmImn/I0H/E477CYbW4hZccLwnceOynYDrCikt/Zsiy3nV0aE8Yqozkq6/EyzPnh+kpKpm4wAX+H4SFdmLmnMppm9LBRa2f5eoFncatCvMatCPHc1UIpdatS6jPbu0UQGjxaa5fWOq+mhZTX8fdgUtxSKhmaAlS5hrMMPwa+OoxJ7bkZs8q1wT7ejIlQ2ZnbV3Z8tVFKJQP3KPwLKYcBdruN6N9ja6uEOqahiakFwMYs8vgTc/mMr9nJUT7ja8d8AkzKyUJnB6XUNUqprdZJ5mmAKYxhYCXmnAPpxD2McT8/wEk2sL/CfQ6QxhEzMcgA8pVS85RSp5VSJfZxnlJqQlXqEizfgEnvK6KEYivuKkpFLKGUNR6zCH/C5xWgdCsHOR7YWh0wbn5OaqE99wqtdY1EpRxs6sETwGDgvxoKU0ljG4dJJQ1tamP/D7hEa/1EDaQeCEJd8hLAe/6D5wGxBg2O653T46Uia2J3ylwbvwFpD619twedame/9NsATKQ5SUTSlUZO1IyFZJLud/3GQzpF3mKqOrURVWHKWga8ibEaFgShDrACqR8wAaNnsjBBoSz7fAKmr1ONLEjbFgqjgTdLwPU+psB1sH1835zchbGMH12DPemmAFETCSykHAZgolOY7CG5H9UDDUpMWVODSVhBNZf1/JOFzGW9t5Ca5JgfKKWuwZjS9MdYcoZ1p3WlQsphIJ3oTmv38+UVLKa40Cxii/dLH9trTcA0DU+wzxcC26zTVqi8BCYy91c+ZhW7AMjiLK+ztJygKqGU11nqbY9ezsfchrPfcKF5joUcx7+Pw3FO8RyL3I17MavIt1ThPQSF1nqD1vqHmMnaGEzNyRigjdb6bq31xto6tyDUIm8CeZvIZUklixcOSzjNZseo19w/LguiWaY7Ze54JYLmhO/2UFLt3LmDiUSirMkFQDSKPFw8zL6AgiqdIh5mnyMQP61qLxelVJJSarpSapFSapV9nB7ECu9rl7HlTqRniyDUKTYC9qnW+lqtdTOtdYR9vNa+XtMphme11ncB7TEZLasxWQKr7fP2Wuu7ari590jw9LiqDK9xo2rwGoS8xzVNAAAgAElEQVQgaVB9phxsf5erMa59TnuA2YCPi5xSaivQ/wouZBuH+ZYs7mccg+gc9Lk2sp9XWOx+/gw/ILZMHYALzXusddIMNQRlA5hBiGFsW5x4Ajwe5lG2bK7Iq89UEvGkk+3uM+U9Bj+9XJRSjTFFnkPDUFxERy6lG/E0JpuzrGMvWznoCKldwBSt9dpgr1sQBA9Oj5coVKWNe5dwmt+SSpH53Qu6x4tSah7WhvgmkphO+4Bjn+KQd83UPK31tUGeIwlbn/osXRhOAgW4uIdd7CafCBQlaGIJ42oSmUgizYjgNCUsIJMFZDpCajcwLFTnLHs/fBZjN+wv/FaEEUqPhtoQWBAEoToopVYBQ1cQXO70Cqz6gtVa62EVDhZqnIZmQAG4I1TlCrz90AFgLP340mTIcaF5KWj6l+nFnU+RW0xpNAdIYxFb2Ia7DlwBhBPGMHoyjJ4k0oRMcljFLlaxi1IzgXCsiPtVtgpjJw0/xDjMNAOIIZICirmc7lxOD15nGSc4zULf6BitacbdjGI1u53IWrleLlrrs0qpK4GZLvSdm0mN2Exq2csowayqT63h1RtBaGj8HWhfhJ76Sw4wkDhuJomRJBBFGEW4WE4W75HuHZEKtcfLC1gx9REZjCLBrwnFOrL52Le2KehUO611ulLqONBmAacYTgIxhPEvuvEIe9lt61rzcPEe6e5UxTJ8CtxZRSG1EBijgGE0ZSKJJBJBphVrqzgTpc39rrtSaqIIKkEQ6pAcoHw3wAB4jRMjnnqgQUamgsWJTI2mD0vZQSThzOSekI8zlVnu+qSx9CWexuRTxA6OODVSYFw1G4ERUlMZT28/joMpHGUmnzqCCmCC1jqge5Zd/V2Ip4E3AM2I5TR5TOd6OpGMRrOHE2whlXyKaEQUA2yaokKRShpP8xHADq11X3/nsudrA9yLCTU7jeWWAa/WoMONIDRorLPozzE9otztTaJRbtc+Sy6mmfg/QqkPtHWZ2/CyR7+ORG4gidZEcYIiPiSdj8l01zhhir4rXdwpc55HgWfCgXfoTSfb/68AFwvI5D3S2VfGLMgyG3i6Gql9LwAPJBLBv+hGTz+tHXZxlkfYS6aJyL+otRaXLEEQ6gSl1HTgqUlUvuoPZuVrgflxutb6L7V3ZYI/RExVgFfNlDvtbib3ULanVEUUU8rUilPqMzA96C7BWFsykt7cQeAo7WxWssLT9SBgWo1dfV2BqZUkgcZkcZZGRBFDJKfJ40/cTosgasYzyOY3vANwWGsdWnhOEIRaQSkVD3wf4yDVB1MH6wJ2YFyD37LWxVU5dnesDXEQw0NOO7bniMY0o2zRiiiep6tbUIGJ3mdQzC7O8icOkWGEzX9tPWSVsC5ZRxREvUkvv0LKYRdnuZOdaJPy11Zr7Tc8JgiCUJN436c2UbEJxRZgEMh9qh5pUAYUoWJ7vTjNM0sBvuFQSMf42rrXAYygF608PZ12Abdh/uE/hvldAGAYPSs85nDfTgcVpdPegRVSYSgm26HxNHLbouf4X/UtRw4Fnh8FQfhOoLXO1lq/oLW+EIjERKkitdYX2terJKTssWvdhtimzg0Ccr+liNtI4VfsZwVZ7CCPlZzh7xzh5+x3hNQaqt9HZQoQNYymFQopgJ40Zqi5Z4tLliAIdYbWOg2YpTEF/lsCjHP6TNmwyCwRUvWDiKlK0FrP01oPAB4BWMaOkPZ3HPya27S6b01/mNPA9VrrOV55+O7wUGIlkaJET1aPz35+cE86BtCJdnaBOZt8OtMSgHVBtrNa6xkXUi+XUJyypG+LIFSd2ujxUhc2xLZxcDtgdSmwmCymsZ8fsItp7GcxWZSac/4XuKIGai5HAkwkMajBE2nu/DiqmucVBEEIhUeBJd9iVpwmAe9iJmHv2ueDcNdLLbbjhXpAxFTwvAnk7eEEfswV/LKZVPZwAoDT5DkmE4F6vLgjPpmVBH8yPUXlPvt5Y8XKxU5+4qV0I4HGXEBz8iki2RaTr2OvYwsfkCzyvJvyBlVgrpSKtnUJR4GngPGYVe7x9vlRpdQLNs3HYcq/uUf6tgjCd4i6sCHWWmdZB6q2wF+BdcDXmHrLGUAHrfUPa8i8pglAYpD+S4lE+uwnCIJQF9jF9quBFzUULQBuxawG3YqpkbKpfS8CYpJTj4iYChKbLvMEwCwWVyqoNpPKLC9LdG3qGD4hcI+XVZ4fdlV47JWeeinz1D/xAGH2rziexigUI009OSvZRQ/aUEAxz7EooKDKIo/nWEQhxRBkLxcvp6wHFET1oz33M46fcw33M45+tEeZtJkHgAVeguq1h5glfVsEoYGitT6mtf6V1voyrfVFWuvRtrn2sRo8TQ7gGEtUSqa597n3EwRBqCu01oXW/KYtMB3jYLraPk7HlIo8KEKqfhEDihCwDlrPAVMButOakfSmPx2JJJxiSvmagywnxR2RAg4CbwGv2HSWQMeegBEgNeLm5/RwUZhc2oe4igvpQBEl/JWPOUImicRRgosznCWGSC6lG5fSnSbEkEMBa9nDOvY6QiroXi6OU1Y8jXiYCbT3U79+mAyeZxHZpmZLnLIEQagTHJes4TTlWbpWOv6n7GOVSc8WlyxBEAShHCKmQiSQJbEjprwIyZK4rBVxOGEMpQfD6UUicWSSy0p2sprd3kKqQitipdQGrCX6IDpzP+MAOMNZnmeR25Y9DOU01A3EakyNVzBCyu1A82u+51dIORwmgz8zVxxoBEGoM8TNTxAEQahJRExVkdqwJK5pK2Kl1N3Aa2AE0++4idamZy9FlLCOPSwjhWOcCnSITOB+rfXcEN7DdOCpfrRnKuMrHT+TT51aMln1FQShTpA+U4IgCEJNIWKqBrBRpUZAfnWLsa2g+hAboQpACnBDZQ5aZftMNSeOnzDBLajA9HE5w1kOk8FbrOCMSbvbAfwIWBNKo097zkXA+PsZxyA6Vzp+I/t5xdSWfaq1nhDKuQRBEKqCV13nGAUMpSkTaU4ikWRSzAJOsZozTrx+MVLcLQiCIAQgODsjoUKsgKrYEi/4Y+1RSvUDrsRYmw/HuEjlYMwmXgA+D0a0aa0LlVKTMJOGi0+Ry5O8z0V05FK605RGnCGfdexhKwedVL81VM9+uAmYXlbBEO9ZERanLEEQ6gR7b7waeFbDPas4E2XrorwpwpjhPCpCShAEQQiEiKnvIFYofWr/VPdY6UqpYcAPgD+70ImbSfXnRliKMcp4sJr2wzmAYyxRKdm4TyVOWYIg1BlWID2olPo9ph3DKDwLV8uA16RGShAEQagMEVMNADtpeBl4WSnVF7gXY0zRCMjGTBxerSH74eXA+LXsCSrNz6t/1bIaOLcgCEJIWMH0F/tHEARBEEJCaqaEGkXc/ARBEARBEISGgjTtFWoUrXUaMEsDz7OIw/h3U3f6TFkpP0uElCAIgiAIgnCuIZEpocYp65TVl/ZcSjfiaUw2Z1nHXrZzWJyyBEEQBEEQhHMaEVNCrWAF1bPAPUCUnyHilCUIgiAIgiCc04iYEmoVpVQS4pQlCIIgCIIgnIeImBIEQRAEQRAEQagCYkAhCIIgCIIgCIJQBURMCYIgCIIgCIIgVAERU4IgCIIgCIIgCFVAxJQgCIIgCIIgCEIVEDElCIIgCIIgCIJQBURMCYIgCIIgCIIgVAERU4IgCIIgCIIgCFVAxJQgCIIgCIIgCEIVEDElCIIgCIIgCIJQBURMCYIgCIIgCIIgVAERU4IgCIIgCIIgCFVAxJQgCIIgCIIgCEIVEDElCIIgCIIgCIJQBURMCYIgCIIgCIIgVAERU4IgCIIgCIIgCFVAxJQgCIIgCIIgCEIVEDElCIIgCIIgCIJQBURMCYIgCIIgCIIgVIGI+r6Acw2lVBtgINAEyAE2a62P1+9VCYIgCIIgCIJQ1yitdX1fwzmBUmoU8DBwHRDutakU+AiYqbVeVvdXJgiCIAiCIAhCfSBiqhKUUmHA34BpAGEoutOGOKLJpZA9HMeF+zN8BviF1tpVT5crCIIgCIIgCEIdIWl+lfM3YFoYigkMYAS9SCDWvTGLPFawk0VswYWeBmjg5/V1sYIgCIIgCIIg1A0SmaoAm9q3NJwwHuIq+tAu4NgdHGEmnzpRqtGS8le3KKW6APcBA4A4IBfYArystT5Qn9cmCIIgCIIgnJ+ImKoApdT7wI0TGci1XFzp+E/YyAI2A7yvtb65tq9PAKVUH0z0cDyg/AzRwKfAz7XWKXV5bYIgCIIgCML5jYgpQCmlgNHAPUAXTGSjEBigQD3FHTQjrtLjZJHHY/wPF7oUaC8uf7WLUmoEMA+IjyCcS+jCADoRSzR5FLKFVDawnxJKAbKBa7TWK+r1ogUhRMRBVBAEQRC+uzRoMWVF1I+AR4Cegca1IoEx9GUEvVB+gx8enmE+uzkOZuI+vyavV/BgI1JrgPiBdGIyw4kjpty4XAqYzUo2kwpGUF2utd5Rt1crCKEjDqKCIAiC8N2nwYoppVQU8DpwB0ACjRlOL3pxATFEUUAROznGSnaSxVkABtOVHzCSCJ95jS8v8yWbOABwh9b67dp/Jw0TpdRCYMJAOnEf4wirQOS60LzCl46gWqS1vrqurlMQQqWsg2g4MIgmNCWCM5SwiRwTazWIg6ggCIIg1CMN0s3PRqReB+6IJoLJDOdiuhBOmM+4LrRiAgPYyH5ms5Kv2AfAFEYHjFDlUuD8mFNrb6CBY80mxkcQzmSGVyikwNjZT2Y433CYEkrHK6U6iymF8B3mb8C0cOBuWnMjLUgiyr0xnSI+IIPXOUGpEVziICoIgiAI9USDFFOY1L47oolgGtfQkaSAA8MJYwjdaElTnmE+X7GPbrRiBL3Ljc0ij72cAJOGs6kqF6aUigCa43GkO6W1LqnKsb7rKKU6Y1KYmgGngY+9RY4VvSOBS/B8HhuwZhOX0MVvap8/4ojhYjqzjr0KuB+YXpPvRRBqApvaNy0CxbN04TKalhuTRBQ/pg39ieWn7KMUfqaUmi8pf4IgCIJQ9zQ4MWUn6D8FmMzwCoWUNx1JZjLDeY2lLGY7w/3UT61gp2ON/qHW+kSI19UXeAC4E1No7pCjlHoTeOF8qfVRSl0A/AeYiK8D3z+UUgswdSKTgIfwX8uWDzCATiGdd6ARUwAXhX7VglAnTAX4Ia38CilvLqMpd9OaV80CzkPAslq/OqHGkbYOgiAI5zYNTkxhXPt6JNCYi+kS0o4X04W5rOdbstjDCXrQxr1tO0dYxBbn6b8DHUMp1QqYgvnibAK4gB5AZ2dMLNHuuq08CpsADwIPKqVWAzOAHcC3+hwseLNCag3QPoJwBtCRliRwkiy2cFCVUDoJmIAtuE+gMRfRiTiiyaWQraSSxdlGYD6nUGjsSZVqUtE4QagPrGvf9eHAjbQIap8baeGk+92glGojLn/nDpW0dbgS+KVSSto6CHWOOIgKQmg0RDF1D8BwepWrkaqMcMIYRi/ms4lV7KIHbThNHivZySK2OFGpf/hLt1FKdQKeAm4kwOeeRDy3MZS+Xs2Bj3GK5aSwjr0UUjwU+MJu+lop9QLwhta6wN/xvqP8B2jfiWQe4Eqa0ti94QxneZHPSSUtPIIwpjCGi+jo8/d0C5fxZ+ZylFPkURjSic9S5Pwo9WzCd5GBQPggmvjUSFVEElEMpAkbyAm3+8uE5xzAu61DFIorac4YEogngmxKWEIWn3NKFaEnAEOVUtLWQah1KnIQVUqJg6ggBKAhiqkuAL24oEo79+IC5rOJHRzhGeazlxOOiAL4B/DLsvsopQYBi4AkhaI/HRjo1Q9pM6l8zSHSyeb/WMrDTKCDTT+8gObcwTCu5xJeYTEpHHUO2x94CbhfKXW11jqtSm+oDrE1UhMjCC8npACa0pgHuJJf8zallNKBFuUEbzhh9KEdRznFFlLpT4egz78Zd8bM1uq9E0EInQD97HKB/cAsbMS0aYi35QTPeIm4ngPYiNQCIG4sCTxGB++/QwBGkMBPactTHGIxWfHAPKWUtHUQaoWyDqIRmGLlFkAGsAzCS81C8I1KKXEQFYQyNEQxFQcQE+TKL8BujvMJGzlFrtvwII9Cp58UwEngtgoiUouApN605U5G0LxMA+AhdOMUubzBcnZyjOdZxHSupwXx7jGNiWYq45nJp6RwlNYkUEwpGeQMAhYqpYadAxGq6wA1gI7lhJRDUxozgI5sYD9bOcg4Liw3Zji9+Jyv2cB+buLSoEwocilgoxFTGni5Wu9CEEIgiH52QzAtGo4CZFEc0vGzcPvTSMT13OB5rJB6is4B3UgTiOApOvMYBxxB9TdA2joItcHfgGkRwGPAj8GriMGEu/+DSa0pEQdRQShHaHlu5we5AAWelK8K2c1x/skC9vEtp8jlMBmAqb9pSYIz7MMKQt9PYYXUVMaXE1IOzYnjYSbQm7bkUMBHbCg3Jpww7mMs0URygix+wEhamMXoQRjjiu86zQDvz80vLW3h/dkAf0dJxNOHdpRQymxWekcG/eJCM5uVlJjuPJ9KUbdQV9h+dm8BLwI9k4jkR7RmFj14h97Mogc/ojVJRAK0BdhILscJbl0knSI2Gw1VZQdRoeoopTorpR5VSj1pHzt7bVNKqVFKqV8opZ6wj3cAo6NQPEaHoNo6PEYHosy48d7HF4SawHEQjQTmA0/iK6Swz5+02+0K/M/sfoIgcB6KKaVUpFLqIqXUCPsYYV+Pt0WVhwB2ciyo433CRlxohtKDJ7mFofQAzET/JFkAacCfA1xLK+BGheJORlRaoxVOGHcyAoViM6mcsc2CHU5wmg/5yhEF/JOFJHoyex6yK+D1iv38b1ZKvaWUmm8fb1ZKRWLsz53PLSAnOQP4GEaU40aGEEMkm0nlFb707u/lQy4F3g1785DVNKGO8O5n14gw/kBH5tGP+2hDf+LoSiP6E8d9tGEe/fgDHWlEGBp4lP3oShYJAD4gw2ngG7KDqFB1lFIXKKXmAfswjZMft4/7lVKpSqlXgRRgKfBX4Hf2cTbAlTQvl9oXiAQiuMKsQzltHQShJpkKplfIVZUMvAoTubI8VGtXJAjnGOdNmp9SKhFzU7gf34WVbDup8aknWMlOJjCgUoFzygSyuIr+tCSBK+nPanY7m98Dfqa1PhJg9ylARH86BIxIlaU5cfSnA1s5yBp2M4EB8P/s3XecXGW9P/D3s9kkm95JIR1Ip0NCh9BBRFCkiBW4wAVEr6L+7ApevSheO6AUUS8GVIpSIgFCaAoJNRBSSAghvW/apu3u+f3xnDM7uztbEgJkk/28XjA7c87MnMmcec7zeb6f7+eDl811q8eVizLlgAqV+VLD/dETSxr1Ru8BQggn4Q61F7YuFJUCX0PysrfDGmUFpX5rlHnZXAEHGFjne/XR1ZVO9QsPeclcU73jEIMdZLC2WimzxUve8oK3MvJZgdN3hCtWSpIvwwWqZOXj8NskST6wf/9m7HS4TEqkfmuIEdrVuWOx4DTd9FficrPMsckN5vuK/nU+51/W+L0cf6rTQbSx2J0y7t4N8h1JWwnG6myAEvNs8oRSWyQDpUZHPbQ0VmedFFuj3H1W2CpxfAPV+Zo4QRcPWUVzrEMzdiAyB9FiUdrXGFwurh43O4g2oxlV2CXIVAhhCCYQ3Qi66aBYUVbh6AgttdBGK2U2K1epVJkXzDHGPvW+dlftrbLeOM9qoch8K/M3jxH7perCgXDQNuchDfKKt3OSwsVW54jUGHs71QF662Kx1cZ7xWSz899v/Da92Q5CSqTGq+4AlI8+ItF6vlzFYTeZUKebX7lK++lfrWesEIbo7UCDTDFHuQrPeTPLkaqJLTh1R7hhhRCOEJvH82dD3UTL+i+EEM5IkuRf7/Z9mtG0kZ9n9w396yVS+RipnW/o79vedrfl2mvhHD2qufsts8W9VmSW6NThIFrHcdWMZlgnLnR0FBvMd+mMux2Em9F/lHZusJfuUaIJVtjqGnO8boPh2vq9YYrzpHzTlXnNBh238dLboWpYbTYZacaOxEFocazaK6B1oY9oTjExXuubHUR3YzRn5FWhyZOptCI1AQMG6uGjxlhvo995HAyyh7FGOdggxVooV+HPnvGsme70tJ46GWiPOl//RPuabUldssD++Ky6DQ06sD15SHH/TWkj+kSv54jU54zNhQX30dVFxkJGqM7zAZCpVML3FymRaq3YgQbprJ1SG7xsrs2xSb6FuLK6ZK5lvb5hXJoz1clSa7zsbeUqdNXeJxzd4PtWqDRLg8qmZTiknupho5FORB9C52H2dKr99dXNAiuN94qZFnXBgyGEEc0Vqt0eYzG0h5ZO0nWbnniSrn5poeW2us0Sv7fEwTrorFipci9aJ89Gq6CDaE00JpoBOijSQbENKqxRkZ9x94R40XwLvUTytVYTzbvbXmSOpK2EWkQKumvpBns502tmKLPUFnvmjf/tUlK01rYV/NZltLnZZKQZOxYd0MhUuyrk7d9M7ndDNGfk1UaTJ1OitG/AQD18yRkSif/yB9BDB4uscruJ7lRslP6OM8InHW2LclPM8VMP+qSjHWKvWpK/SpUeToN4O2vneKP00818K030ulIb4IYQwm1JklSojXXYjjykuH9JeqGeYg441QE5IpUhCE5zQEamPrJNb7Tj8E1ppeZk+zvdgdrkraSf70gPe9kEr0KJOBkrLVfRaYo5tfq8TnOALo1YyX/F21lf2dt4VvwRdxadhhbjZ/jlDpzsXSYlUl9wmqL0fBmur6H6+LmHM0J1qdiv24zdFxfDR3WvVploDIoFZ+vud3GhYFElfabUnkM/hBsaU5HKj2YowrE6V8s0elypp5SqRLEi1xtsuHZm2+geyz1kpTKVY8UVx8UYkvfyTTXvbnvxEYSxOtciUhm6p9K+R6w2SakL9cxtG6qN56w1UaljtkHq93hsN6U51qEZOxbrkGpgGo+8/ZvJ/S6KVF1xLA5VVXWagkpptENrnC+u0HURm+LvwV2EzZyGo0MIH9odMvKaNJlKKyKXwkeNUaTIXZ7Jubstz/udb1buRW950VsOtZcLHS1gsjlu94R7Pe8oww23pxItbbLVJNO8Y4XO2vmmj+qoDRihr8MN8d/uVWpDB/GkebDAIb6Mc14yt0E5YT5SswT9dVeh0kZbBPSOTci10FsXAQmdQwgt6iB27yUuJxKpjxlTa2MbrXKPT/CqIkGlpDPW4D6xpyo3M3nAi4brq0c9Mr/l1rrLs9ndnyZJ8usd9FnqwwVwqv1zRCpDkSKnOiDrYbtAM5na3bEXjG5AqloXRuuYkakWMFBrR+jkX9Z4Oy62zG8kkcpFMxymo28ZoFcNY5fTdLPEFtd52/PWudpsdxhmb218TX9X6OPr5nrO2g7o0EbQQysrbbVBZZPLu3uX6AIDGohj6J9uz6sogbP18EdLTbDKF/VtlAlFqXKPRjLVHOvQjEahEZl2T6SLjC+h4klaLNI4qd8iPBn/bHYQbeJIz5MLpAvFKMWt6CQajBSK8qhE0Tmi3rlbjY0fFuUSl+Nv8bx7KIRw2K4uFW/SZAoj0aeTtv5lpl96OGfQ0FqxE+3nKMN00c5qGzxjhse8Zoo5guBzxmqp2LNmKlXmQS96sMDYcLxROSKVoaM2jjfSvSbDpxUmU7fj+6+aV7zK+kaZUKyy3qvmaaHIEYZqoUgbrWy0xWKr9SkgGVpsdeb7Vfp+E6kQwgj0bKXY6alZRl043YEmmWaLcvvo7U2LO2EE/o1joLO2SpX5sb8735EOMLBaxbBCpVe87S7PWmsjvOP9m2B0h761ho+IvMd7vE/H04ydF+2pknVtK9pVnfPd4Up7GquLA7X3lZiX1liL7B9JidTP7V1nlayXVn5hH18023PW+o2Ffpi+RQfFfm7v3Lbh2rnJEBUSj1vtZosstKUp5d29G6yGeQ1Y17+Tbu9Q4/vvq7XDdfQva/3IvHpzpoixDj8yz5Y4wjfHOjSjXmxDpt2MEMIvxIWQ+8v52M0atwJ4M80OorsAQginiiZqNSemx2R/9MFHRcK0Erdgc0qk7la3HXi3dPt5coRql8/Ia+rW6D2JxgXPeTOPSLX0ZR92pkN01V4QdNXemQ7xZWdoraXJZpttiU84SnHeP8MAPfTRxSB75AhUvzomz/2qlMMFd0j7Zu5JJP7oSRXqDwyvUOmPnpRIHGRQzpzh0LjIbbxXatklJxLjq5Qfd9X7Bu8NjieaZrRpIAi5jVY5M4799M96w0ZLf7wdtPEZx4K1Nvqdx3zdn43zrH94wTjP+ro/+53HMiIFtyVJ0rjQsHePFbCguglJDnmPL3+fjqcZOy/WwwbbvrbxgnW+4+3sbgv4k6WesNqfqvxuGpxUZ9EMRfiWAQ3KDYsF3zJAESYqtSIvPLhYcLneivGS9cZ4ycmmetl63zPQnvG331Ty7t4N/o7kiRr/PvlYYauJSgUcV0DK9wV9tVPkcaW+7q380OVqKFWeBfYS+9OaYx2aUSdqZtr1wfdF/fvU9Pb7ctWnYel+fxL5kR/hkQbe45/pfinetYNoMz4YpETqYalU7wLRQesCch2e3cVz5lfpti+KTl6txROmIfJQJJ5g6evt8hl5TZZMpROFXxPzmU6wr1H6IZpGDKijODBADycYBZ70hmItcoYPcKShvuvj/p+zDNEbajr45TC/Sjlcn7Tl61g+3UK/9s+c1XpNrLLer4w33UIdlDjLobltxxulWJHJZrvdExZZJZGk/WBPZP1Sm/HLeo7jvUJHYk9ZY5ARxHKVDqshfVxvkz666ptW31praY0yk0zzkJdMMs0aZVpX71X4QgihetnwvcM4IqmtrEGMK1X6ZxWpHfc+HU8zdgLUkW03ByZbu02v9YJ1rjDLm1WLBWCqDb7iLVNjn2ad2XY1cBGKj9W5lrSvLvTSyjE6K5d4IK8z4gmr/YdZuWl/wHoV7rXCld50dIDzf6YAACAASURBVBq0bSfJu9sepN/jF0MIk0MIM9LbL6ZycpBWhh7aInGNObUIVebmt1XiKJ2qmU9k2EsbP7N3jlCdbqrvmusppV62zlNKfddcp5uaEal1+PDu0sjdjG1HfqZde5FRzRPDzY7Avuntd8QG4/8ju2JfKJpo/W85zkj3qWnPtzB9/MNkY0CjHUSbsXMhPVf+ijBGPB/+jO+mt2+L5csVuDrvebeIOuPz1VE9KIDuYnXKbpCR1yRlfiGE9ngUe/fS2SVO0E83V7sdHFWwul2Fow33sJe95h3lKmxUVdh4wuuOMFRLLYy2jxe8ZaLXHW5INanfWhtNlJOA3lnXeyVJMjeEcBrGv2FBj28YZ38DHGSQtlors9mL3jLVOxKJDtq42mnVbMF76+JTjnGHSSabbbLZWY9Uhs24IEmS6Y37F9yhWIvMjKNBZEHEbbSsVsnqqI21Nnrcay5yvJ/4h422aKOVvropUWyTcguszD3eSVtLlHbFuaSuI3UghHAKTsRjSZI0tABXF36LL8y0qMvPPexUB+Tc/P4Z3fyIMqDmvobdAPVk2y0h2onea4XP6d1oE4pfW9BA/doGHN5Id8oDsR2ZRp1NUmpG+luda6NvmGurxGm6+qxeBivxlk3usMR4q9xjhTaCjZIPPO9uexBCuAb/TS3WeSiuDyF8I0mSn6aPXY5/vW5D/zO9ZqzO+ivxTlXOlF5a+Xo9GWEH6eAWQ33GDFskHrIqy5GqiSdw1XtFpJoz83YZXCYlUk/gkHp2bCkyqCFiU9WGePc/8dNyvnyduFJzrKoT4knya+yNchCtiTpiGV4W2yFWaM64e79wgbQidb/oBpaPXunjA8XelbkYRGrFFs0mtgXn4I/xz106I69Jkilcj1G9dHaND+ugjUqVmf12g05w2fbMlGJrHCamocNipf1vN9FFjrevfgboYZ7l/tu9jjdSP93Nt8JE0zIC8aIG7MiTJHkxhDAGP0wkH3vF2y1fqZLx5NBDR+c7Uv8849GFVnnSG57zZj552prEMbFUlPb98gMiUqSTxpfMdb4j65X6bbQlZ64xzJ6eUnXIRalP4QRTweVO8jfPmW+lN2vYn/fTzeeM9bbl/hhbYa9QD5lKidQ/07vXhBBO3R5ClSTJkhDCGXhwpkVdZtaO11iNM5onIbs+ambbddLCJpU2x19pL3GCYrmtHrXKaY1Yy6uQmJFWpPbQ0vn2MERbs5S5yzLLYhWknSiNbUzvTAdsR6ZR3L8spXXjLMsRqWsNzDmK7qWNa9Ng7fFWaaVIusTTSRMiUyGEn0gldG0UGauzPbSyzBZPKLVRZSvRtbVnkiRfTZJkYZo3N26L5OhHqpz2wHBt/dRe9migGviOzbbGf68ycTwvFv8BV4vXlO++lz1SzZl5uwbyM+1uVj+Ryseh4urgJ+PdL4j9yw/iqgrOmlg9M7JCNIv6zbZWpBqIZTgH15GaiVahOePuvcNlxF6omkQqQ690+ziRWP0XOU1VYRu0upE3uOzSNvpNjkylNr9XtFDkEifokFaLihRprdhm5VbbUK/Zw+q8KkqeNOs3ohHCUy+Z22GxexxnpEsc71YTzbM8M5vIxzR8CN1CCFnuyvJCVtxJkszFBenqzLdwZRAM08dya62wznJr/cp47bTOOQrm26oHIeuZOgAzPwDXvlpIkmR6CGHSFuXHPezlgm5+GR72si3KDdVHF+1zAbvttFaqzLFGeMobJpjqUa9pV2MyUqzIF33I3noJgh46+pvnlNk8OoQwvB5CeWKN+ydoWB5e1+f9V2q6cam4wtND7JEaJwbVNZlJZDO2D/nZdgO0tswWa+rpjfqhd/RXYmQDizzPWqNcYg8t/Z/huqZy1sN0dIZuPml6Rqi+qXH9kevYnkyjuH/bVAU+ISULn01/d/kIgs/qZbxVNlTV1NZs0xt+gAghnCglUp/W00V6a583h1yvwu0W+2PsVftKCGFGkiS3J0myEMeEED4sVqJz85JltmSGEXVigc1+7J3s7tfeJzfSHPIz80br4DN6GaKNWTa6wxJTrGvOzGs6GIuhfeQkVY3GuWKJaVHsoToOz4mFqN44RVwU6orX8c1tzWusGcvwEZFRdcUq/A3/oKiSoiD+iLZgZZx4V8u4S5JkTvqa2a67ZdbdDkBnGNrATln+RbZU1L7G/caitOrPXdpGvyn2TH0ejjOyljHEqFRW8YwZ9b7A03kVkUXx1Fglyog7igPJ5sVKjfOsb7vb/Np+AmX4En4uNvEtxZvp7ZQQwsUhhLqSeteLK8sSic7a+YHzfdc5jjNCiZY22Gyl9TbYrERLxxphfwMyIvVkkiRv7AxEKg/fR8UEr7rH89Vkk8SK1D2ez9min2Rft3hMWfr5TrQfeMEcZxvtAAPTnozNgpBz8/uQg+2jd25C10qxAVVVvH71HN9jNe4//m4+bJIkS5IkuTZJkuFJknRPb69tnnTsNrhKSqQW2GxjAxPnjSpdbpbxViqvY99yidvTCuz59sgRqQxdtXReVbj4yEb2Jb1MNJPYFqR9OoZpq1xivQoBg+uwAx+sJJ9ivUKVS0YTwM+JROpqfasRKWivhav19emqrKjfpYspIEmSB8QebUQCulK5i8zwmNW1vu9yicesdpEZVkXS+n66kebjMimR+pV9jNFRFy2N0dGv7ePQuIicZeY1Y+fGxcQvdFtXx3PZMhGPi3ObrbhXzGk8QZTlfQovhBDqu85WQ34sw8liL869Ijs7Lb29L338JLEkWy4GGb0mMql0Aj8W/w4hHB5CuFQc1xZhRnr7cgjh0hBC/XkFzchQCjMb2GlWeptVojKv5nu28c3+VvXnLp2RF5oSoU8JSilKfuD8WjlEsyzyUw+mbn5nFDShmGe5n3rQ5uqNw/8rrsKMbOAQZop9mM+I48BoolFCByXW2ZT/upNFyVeOiaVGCQ/ghE7a2mCzchX66qq3LnrqZIx9tNHKJluVaCkI/uY5/46ndhmOSZJkp8t2CCF8RsyvaNFasQNTN8I1yrxkri3KBVHeN8+KXDDxMH1c7XS/9ahXzQN76KiHjpYotTItLu9vgMucVCtY+SYTpJLJc5IkqfN3nkr9TsDjmcQvhFCEM8VFmFn4R5IkDbSsNGN3RmpG8Db6tBWUpZPltop8Qk9n6a6nlpba6n4r3GlJNbLVQ0tn6260jtopskGlyda6zwrL07Hj1/ZxWIF8quesdVVazUXbJEk21tqp+rH2wvwiiv9h30aZUCyxxZleUyR40L66a+k4r1ivwt1G2Ettr5c5NjpPrqXn0iRJbmnwjXYCpKRoWhtFxtuvFpHKx3oVTjXVplh9m5okyf7pa+TOhyJcZ6Bv5km4u2vpeJ11UmyN8louifhZkiRf2tGfrSGEEGZg6G9SIlUTeefajCRJhr/fx9eMxiOE8BzGPCuaTGwrnsVR6d+tydPCxNe7Bjcg1XvenCTJfzbyuO7CeSeL2sHCEdcRW0XziwmiwUHm4FQqVtsmxLvl6ueLL2J3yLp7VwghfAJ3thYHrkJSv8Viz9RW0UlpUHq7j9hUulDjTChWoC82R668964c7dDUZH77oqSXzgUDXffR26H2MsUcP/WgE4xytOG5nKmnTfe412221Wh7m2tpFuz7JaIJwtGGG2ZPbbS00VYzLPS06ZkV91BR1ncNDu2mgw872CEGa6nYlrQH6wEvWGn9aFEmcUySJJtTW8hHpfkwn3eqKd7yiFcssMqCtPn4YS870yEG6uElcz1vdkbQyvCxnZFIQZIkfwghzMN3Nisf+1zVpK9qH0y3MLs7E0OzytNlTvKIVz1pmmXWWpa6oHXW1rFGOsX+tYgU8slrvSXklEBlJGq4tGFX9Uyof6Zp3c2Eqhl1Ic22a5GT9rVV5LeGGJ4n4+ullcv1caxOLjUzR6iW2+p3FmeBvNXQVpEylWYpK0imZqaGEOJPqcEsp7TH755KzrvO235hn3qNMMolrvO2Spyos+7p9OdkXdxrhTssqdYzFQ8kcUdVe9Ry0Wq5qeB4GKtzvUSKWKE6XmcPx3F6vxDCoUmSTMFhUvORzoqdrKs/WGKWTdoqssJWf6mhbMi+5xRfDCE8lSTJ/Tv2ozWI7jCkADmu8XhzZt7Oj/Zsf0NK2/S2o9hv1VlcCV4gTnTOTrd/NN40yt46P5bhVvUTKen2W8UJ/D1iw2Wv9FgelCNa1ear+SZc6d+7S9bdu8U4/HYz7c9S24RiifidbxHdGwelj++FU8VS4+Xqz5kiNsH9pxw53+Uz8poamRpJ3blPQfAZxwmCyWZ72MseznmQVGG0vX3aMb7rL4hysQscabS9Fde4qA7R2+kONNls4zxri/JPQ1ftfc1Hclbf2escbogR+rre/RmhujCEME6cyA+GvfXSVmuPpWYLBxlkuL6mW+Alc91vSs1DfhJf3lmJVIa0MXVSSlZOUKVpXipWibuIktv7RLnjG/OssEW5LPT3FPt7y1IbbNZOa4P1LEiiYIty86rsmxvUcocQDhSdiMZmj5VomSPgm2w9Fa+EED6dJMkuXZJuxnajI1G6l+ETelYjUvkYrp1P6Om2KsIxV1zk3Qv7oe1IbX1eXxuU+7K33GWZM3SrJvVbZau7qxIYpm1Dj8DXcfzz1vX4otm+ZUDBCtUSW1znbc9bp4tiV9ozt+0Ce3jASuPTBZ9Cbn7ivObsJjaJ6YgGjSIy9Kg+JTxbVCTl5iGlyq1U7lqDXWKm9Sq018IQbbRRZKNKs2zMPX6arv5qecBtIYRHGqo07mCsQLdZNhpTYKo7q8qavzkzb+fHeravIWWpuKJIvFBPrLE9y1/4SdVDjZ0QX4Tij6hff5+PfqJM5H7R4/3r6eMtxTDhtDrlk/h/olvGG6KzxZ2qEapPiU7euw0KzLker6uHPEmSJITwcTz8PGGgSJQzec69IgHqL+ZE5eMnYiXzb2LF8Cby7NKqsEIkUqnEb53dICOvqZGptqjXMa6lFi4y1tGGedIbXjPfZlu11tK++jnWCPvo7VkzrbReK8W+6EP2qtLE10KxFo4wVE+d/dxDtig3zJ7ViFQ+Omnrww5xh0lwpbTEmdl/99LZv8xUodJBBrnMSeAYw/3WoznHO3Fs+3xTyxdJf8Q1f8h/rblfCGFKmc2HvmCOI9J2yBaK7JPmezWEKeZkcsHJDbkZhhBOEklcu9aK9dHVXMscai+fTAO/n469dvvimRDC2UmSPNqoA6l6jwNFqfeHREezNWKT941JktRm9c1oUkibqa9BNYOBswpeTqpwth75ZGoQ9k+SZF0I4XyMK1NpP+20EIzQ1hvKfNJ059nDUG3NVObuKjc/ooV3o5AfzfCctT3O9JpjdHaCzjootk65x6z2tDUq0VWxX9qnWj7SIG1cZ5Cve8t4q4y3qmY0QzkuTJLk2cYe106CtUTDiMZgeXV5XrVWgows3WmpL+jrFkN8z9tm2uilGtmCQ7XxfYPspcTrNpiurFHxDjsY4/C9OyxxiA5a5FUbKyT+UHW+Nmfm7fyYgzGP2TaZX4VY8ZmBPUU7vwPExpZfiFKuF+QqUsTrWWPy7Uh/F9tjo30/Xqrx+O/T20+KNtvZ2TpSVSk8L5/myhDCrbuDKUUIYawYEXVsgW2T8P1C7otJkvwzhHA6/rqZ9jV/5CeIg9GeNR4fKfapfEgkSg+IpOocsYpYmj5+t1xFap3Y7tKk5rDbg6ZGpspQy+CgJoJgiD6GpNEvlSoV5VU3EonHvQYucGS9RCofe+npAkf6gyfNtUwiqeVuleFgg43zrM22HoRPwwEGesp0S5SqSFe2h+tb7XnD9c0nUzfv4ifhjfj9JG843JBq/5YVKr3ibf8y03Jrc4S4h46OMNT+BphUlfN1Y31vkpKc+9DuMPs435FmWuQmE0yJ2aq523308qYl7XBfCOHoxpCgEEILMTD5ihqb2uISXBJCuBFX72TGIc1oBNJcu+vlfb8DtDYvvVz0bEDEUmB7lrFyL96Za1P/b5vrOoP8zN7+y2xvKPOrKklsPhakz2s08qMZKvnYJKUtJ9UwpSgWnKizK+1ZK2h2nXL3W1EommGNONn+IKMZ3g0ehyeU5qpFdWG9ippGHpmp1UnESmXAn1LvjQv19H+Ge9oat1rsjVSi+VX9fFyP3Fj3cT1cG3tF6413eA/wW3xhinVdrvJmNTe/P0Q3v+wzNmfm7WRI+/RGilXRCnHu+onfitWchiR1GR4WydKeInnJ7G1OwmdwkEio+oqDDqZvg5tfB6Jr37YgW6GoWWXLrEv/H7VmXEH83Hlkqklm3W0rQgifFTO6QjuR9O4pfmf3YkN0ZzwmhHBRkiS1xpaUUHUUi5O/pUpe8boonzhL9fNpq1jNbC2WQzeL5PaPtQ8vEeNortnF57A5NDUyNQ3mW7lNTyqqIRN70xKLrNZRG6PtvU2vNdre7jPZYqvNtqTOKkorxTooyXp69oBD7OV5b5ptid6p+/50Cxyjqr93ejZsRcnq9obLNhXcjZ/Os7zreC873UEqVHrEKyZ5Ixfwm4+l1njdfEWCyji9W0mq18xD6nZ2mLjI8h9oN1Jfn3GsIkX2M8DBBnvRW1lFysEGu9jx/uhJz3mznSgJPL4Rn+OXuKJYC8ca7ijDdNXBKus8Y4YnTVeu4gpxgLlqe/6hmvHBINX+P4pRxYJz9XCuPfTV2tFetlGlpbbWa+6wtHpFg3SukCTJlhDCR/DU40o7vGW6c/XwK/uYar0HrDTHRitszWzH1+HDSZI0rpSShxrRDF+T5tJAS8GpurpQz2pEaraN/ma5h61UlpKFlFDtNNEM7wZZrMNGlcfdbrGrayxs5eN2i21SqYVceOm9qbTmkNaCzRLZ7Z8sdaelOdOJTBB6jE7OrXJkBCfr6ucWWKui3niHHRQ6nv/Zc5l5U6zrMqW2SKw5M28nQxrJ8GVR7VKzqbJiES3+Ig24awQy8vEFapyV8f7V4kAxRo5MHRJCCI2s+KxD4RjqepCtUOT3f5WLqzZBlPYVwghqVsubVNbdtiKtSN2O8FV8Q/zAGX4llhB/HNuabg8hzKujQpWEEI6REqmrxZ61hWKpvLfqVvb3kOv27U8W7vC8WJTKFglfEWNi3tceqQ86gHyXcvNrLH7vCc9504cc5MxGR9xV4e+meNjLDrOPz1W131TDFuWu8aeMTE3CcZ92jHesMMkbOmtnrTKVklo9Uyn+D5/e1UvVIYSzxIWUcLoDzbPctHTo7q2zY41QopW/m1ItHywPW8QJ5oS81zxbdF2slbjdTzdnONgBBqqUmGqepUr11Nl+BigSlNnsa+60JVoXj6hv1T2ter1UrIWrnWZoWg3Nx0yL/NJ45XEadlCz5K9pIK1I/RujBirxQ4MMyZP2ft1bHrXaJXq7vMD3nuEmC/Nlfq8nSbJvjfc5UFS39M8eaylkga4Z3sFHdlQvXwjhaRzVTbGVeTlUnbTQVgtlKqplZ+Xt92SSJMftiGPYGRBCOE6MTmjRUM5U3mRtcpIkY7Iw8NHaK9HCU2m8Vib5y8f+2vmtoQUNQK4wy+Q49zwlfxzLO8b80HHYrtDxQkgnIM2ZeTs50pDwZzRgCNJe7A04tBGveahYmZogLa/WwKM4WVxNfIZMD9Sgi2h6vN/Af59t28roZ4sD4Q9V9UwRJWRrxIpJIcvlaRhV/aHeu/L5m0r4jv2qKJmoC1/Dj+Ofk5IkqTVZTauca1HylXTfJ8WSVt7CUTUMF+U2PyQraxyRJMm/t+Nj7DDUEUCeIVsYek8DyJtUzlSSJJvFaoYnbH8o9vLUKW5YLUVo45BJ87LXKYQXvZURqRelVdAJpjrdgQbqodSGrLLiJXPd6el8IkWUB88OIXw1hFB/U0YTRupidTmSh71smgXaK3G103zXx+2pm//ztNU26KGjs412qROdbXRGplthfLpSI4TwZXH8PqC9Escb5WyjHW+U9krMt9JNJnjUVEWCAwx0igMcYKCidKLTVmtjqiqWl9V17CGEw6UKhB461DIvyTBUn/zqY6NsZZuxU+B6KZG6xZBqRArOSec1f7bU9MJE33QbjFPNqbeWJDUl1/uIrsBPoiIlUhXp/fOwT5Ikr4SIPUIIe6e3jcmbyiGE0D6E8GuxUdtK5Y7TyVm6a6fIGhUWpyHE7RQ5S3fH6ZQRqTJxZXyXQbpaezEq/mip00z1HXP9ygLfMdeppmaBvRmRWo3PpU9vD+0U+7G9XKGPHlpWI1LdFbtCnzqJFLStGjfqMmQrFDq+Q9CcmbfzI61INUikiNKrsWLVqVY9PMVWcaU2W9Gra3Um295FjkiVa4SLaIrbUf53jXCGSjEf/xBlZZ+rse389PZHqLm6nKSP56GpZd1tE9JIh2PbiRWp+vANObfG49JKek0cg5IiqaV1+sCB4sXnKJE0fUc0n5gkEvCn5IjUW2LQ8weG/ADyE8RFgGXpbSorygLIC7nA7zA0KTKV4lcwybRtlvtlWJeOB20arS6ujpL0eWXVEhmqsEaZB7yQ3b1RnHDPXqLU/3rIYYY42OBqTb8ZWgjaaa04fjWDxQndghDCtWku0i6HJEl+hz9DeyW+6kwj9UttlycpV+Eow1zrXKc6wMEGO9UBrnWuowwjnsf3hBA+hhsCPmqM/3Gh8xzhVAc4zxH+x4U+aoyAv3kuy6cqiIOqHGD3L7Q9hPBtUVY8BBYr9WN/91Ct1tmI9DiJPb/N2MmRmk1cUSz4oUG6FBgrDtLeKbooU+kys9xkoSW2SCSW2OImC11qVr4NdhYOXgtJkmxJkuTutOrTUrwGtkyS5LgkSf4SDylcLF7LtiUkPP8zZQvXV6LNYCVaYJI1JljlZF38j0F+arD/McjJuphglUmx4rJTRzO8G6T9BCfiiY0qPWyVP1jqYauyXKkMk3FUXg/AeihToVhwkd4esK9bDHGDvdxiiAft5yK967WkL6ta/63LkG2Hho43o8nhS/KIVHt8G/NE++l56f2s4WWDuBI7EN8X3demprffTx//lKqqwy9QM5hpmahdpxqDe7axSpmUjN9TKa5U1EXsMmxN96sUZWU1Z71fEAfFO9NjnyaSqGnp/czNL8WNu7ii53hij1SnBnbspJoJSKFFmL5ETVz2bx7E5s1OIoP/mTj4dxBt6gfg71XPHyS2UXyQuExKpB4RB/Ie6e0E1QjVexpA3tR6prJm6hsrVF5xi8d8xZk61JGVUQjrbLQ6dVfa2OBPvDA2pc9bbq1/m+Vgg7WqnTNFvPjemeZMnYJnlyjtdZfqplcBo/R3rBFG6qtIkUqVpllgkmmmmd86ieNl/7SZcJfKQUpLzcfDRcbqmVZqXzPfSuv00NGFjqrV+1akyIWOMsNCK6zrIq1on22MUwpwoJZapI8n7jXZg160vwEFTUTyHCNrrRanFalriwQn2s8wfcywyGOm+ocXDLNnLVOTblmWe8PjXzN2DnweztWjVkUqQxB8N81d+qdVbrMkX85XE5UiGWnQwTidCOSkNCGEHuJ1bDQxp6iLYquVK1N5sBjRcmkIoVpIeAH8BIfuqZWv6G+aDabbYLaNltjqPivdV3iBqklEM7wbFIh1GI69RQI8F/eluVL5eAemK7NJpRJFigUHbkPizyaVZlT1hhZcxE+S5JEQwqlqhI43Y9dHem3M9dm2F6sDB+ft01+0Dv+IaOmW1cgX4Xvpf4XQU5X5xEFiv8yBYkXql2LfzMHp+6Wo6ZTdEL6O4x+lxxniIFXIJn2+SKQeFSfBhewCh4sThEdE4pRnhU71v1/UtLLutgcdqe20VxfyBOiF+mIWEJuLsmwvoqXxU/iseD7cUONJB4rOkb+J//Q3hxCWfQBZeRkuIJqT1NQGtUgfn1i137Xv1UE0OTKV4ms4Zqk1o27wgEucUGf2VD7mW+kWj9marsnMsNCQRtpw5yMziShX6Q6TjPOsDkqssyk/RHayqNPcHELoJFZca8n1Wil2uZOMTIeZBVamlu7v2GiLNloZpZ/pFilX8RnxAv6dbT7onRsfQe/eOhuR1wT+Sip7PMqwWkQqQ5EiRxvuPpNhcCbtqw/HG2WCqeZbaa5lBhdwc8xzjCw0+f0PONF+PmYMpN9fYoKpnjG9FplaWWWPvKbeg2vGB460ynMeahkG1EQrRa4z0Nm6+5vlnrVGmUptFTlSJ8fq7FvxPC4X+68yc5SjxTnE3uIcaT1m4zY8na2spsfyIEb30cql+jhJF60V2aTSY1b7rUUW21ItJLzAZ9pfKlk9Ww/XmKM8TzDTAiO1MzVOxSpF6caLdn1H0WqoI9ahzn1DCFPWqjj0Uat8uAGL/EKYYJW18XpUb7xDfuh4TaSKhTNVRcX8Y1dbcNuNMVLeJPi/VCdS+Tg43f6DqofyM+0yc4A5YuHh1qX0P1ScDb8oTqpqvl5vcfAR5x33bcuB58cyTKDHQPEkPUdV4ORfRXvtStH0YryqkNh8lFJjCbq63C+PSJ3exLLutgdrUdjrtQAW1XheDTyFTZWU/K9cfxViCOKLYpXzz+I14otipesw8bzphW/HPz+IrLwM3alDQlT98fc0gLxJkqkkSdanuUGPLlE66ofuNdYoY40saEqx3FpPmOYJr2d9Sm9h8NOmO92Bdfa6FEK5Cs+k7m/4H5y82daD8kjUi6K0L6tIdRYXd/aH4fbURXv/NhNyRKpSpb96zkSvV3u/TbbWNF74agjhl0mSrLDr4CI41ohqVaLFqRVxQ0Yj3fNWgkfbW8sGvs+Wih1qL0+YZrqFBcnUS1XZhK8WeIkBMKyG6cAwe5pgaj5xyiHvnHmw3oNrxs6AfVEyUIm+GlTPCYKDdXBweh5WSKpJeG+xyDybW2FUCOEAcc5TqI/6CDFGYVoI4Wdi38EnpUTqdsN0z5Mblihyhm4O09HnzMgI1YXp86qOL4Q2ooFBGKGtmy1SLnGCzsbo6HlrPa7UG8qynKsiUp4jWAAAIABJREFU/DxJklrZcM2ohRvx+79a7gzd6ozKKIRE4q9Vmbj1xjvUhZRI3YWP5z381xDC+c2EapdANcXbJQ3s/B+qkalcpl3N/TIX0QfpMExsWl4uEpwu4qxzktzFap1ofrM9LqLVYhnup2XN8kVL0TnuhwoTqa3iylbeVXUD1VLSXxF/P3/aDYgUqcz3XrHnpT6pyxrRgS//eflIkmRrCOF5HJsFM39JPOmW4H+l/RfiJK1mheqbomHIi9Hw7/3OysuwAt1eVbu5lGoTuPc0gLxJkily1q6H4/pKyRWPe83jXtNTJ/1000YrG20x30pLqxcDbhQXYZ5ba+PIyWbnAmMbg8lmWxsVOK+L1aas4pSFtK6oode9Afv31Ml/OllvXTziFQlG6ZerSGVEqliRo1J77e46WJHaaz9jemay21rsz8wLJW/y2IvahiCr0uGzPqMPWJFXPKorSLkmOqdj8aYCmWVlNnve7OzuzQWePg9mWJT7/uL9uFaUSfrKVZhjqTctNklucX9bpRLNeP8xEoZsg3w4HzV7IYdom2VS/UysSOmm2Nl6GK2DdlrYoMJk69xnuZXKR4qqmKPEBUKX6lONSOWju5Yu08f3Yg/glSGE39cYg86XTsoqJDkidX382fmoHr5qjolKVVSt93bRjMbgbvz0DWVdb7fExdugdLjNEtOjxK9gvEMjcSY+3k6Rk3X1iFXKVH5cVEL9vYHnNmPnRzVJRiGZXAPbs4pUNaRmNsfi/hn0z5b6WlHziviuXURrxDJ8WVxMatFTbGK5Qu0eqQylIpGagBI594vbRe6VzbmW7uI9UtWQVsSf3MCxP1S/m98PyUTEk+qpfOcmTT8R82C6iYNSthqzr8KrPUFswL0o3n2/s/IyjMP3fiSar+QvpVeIFY+8/d4zNGlDgyRJ1idJciUOwR3YtNQaL6TZQS94KyNSm9LthyRJcmWSJOvFiY1xnjWnkcYvcyz1Z89kd3+eVGF5kiSz09vcjzp14bkQOSKVSDyVqkiOSxenF1iZI1JXOc0FjswRwn66ucCRrnJaZkpB2s+xC6E9VcYeRGv5LGfqGTNUKrzIWqnS03mqnFUFqkKFUJpW+0pq5AMlEnd5NrNFfyJJkhm1n+0WeMxU93jONPPd4zmPpUHQ++jt76b4mjv9rwc94MXs+MtwRqqDb8bOi7aoN8R1W9Cu6nd7dIki3zXAg/Z1uT4O0sFQbR2kg8v18aB9fdcAJfE5n8VBbQQnNcBtTtRF2/icg9SWE1+Q/bEsraCPqVHtPSy9v7yqwr5aMxpEKmu5GMlNFrnVYkktv7Eaz5G41WI3RwFOgku2Rx6T9nd9mZhX9U0DnFIVk9r4FcJm7HQIIRwcQrhDtcJCw854BbbX2aNZyEU0JVK1XEQbe9z1IXWO/Ip0PFoqTsKuo4Yeh9fEmXk/kUh1V81g4ub0tWamt7sNkcrD91D5Y7EyULN3YI1qtuiVovdILaRjyKGdxRX6knTn5eltiVjtfEndlZfz5FbeRtfhGPhe47dYPVG08s938ztZrl/qPQ8gb7KVqXykjdGfCyFcLsYNjEIbsYn7dTHbpWYfwe04aovyz/7cQy5wpNH2Lij5K1dhstn+7Jms3+r3akhp6sDpKBluT73T022rCiusU6zIyLQ/6Mm0anGU4YbX0VY43J6OMiyrcPQLIZTsQiXt9VQZe+T/HQTLrXWnZ2qZUFSqdKdnrLBOECQSU8zxcYfXK/XbqtwUc6Dav3eZze7ybFaV2qDKLbQakiT5dwjhO5WSayeYaoKp1bb/wZO5v3vqpLcuFlttqTVtxQbIMSGEs5Mk2T4HlGa81ygjZgztCMxKvSRKFLnRPvarMiOphZaKfFh3A5S4wps2qdRakdYNrHuVpKYUZXFduZPqkoYe0FqwOs2Uet5aH82TkD+XVn9Xxe0b7PqB4TsMSZLcn157br7ZovCkUh/Xw8m6KlGkXGKSUvdb4U1l1qjI71f7nWjr22ikuWQ/pSrk8JE0HvWRqpjUT4YQJuyoiXAz3h+kjpvXi1wCDBN/kPPFcnV9HfS3VL/7ekOGN6l0727cnfZylmDTe0lQkiT5ayotG7NerHjcKOrEsjJaftjv2HRbyiqf3J16OOtCkiSTQggX4fYfU/Qb0d2vj9gjdY9cRaoSFyUFAntT9Cdmjt0uspInRVeKvqKhSUMrv23F/rrUcrSfAj2nOzp0PB9JXgD5RLpMrL3L+xJAvkuQqQwpYXox/a8htBa1lskW5eEPnnSfyY4yzHB9lWhpk62mW+AZMzJpHzEz6rJGDjZdkHOnQ86gorWWOWLwWpojnWefXRB5ZIo47uwqZGoOhsywMEc6q6pUiWJFnjHDDAsdbXhO/vi06TliWpFWrspsNtHrBd38Mkz0uvU25Xqx3rDAS97yvNlZRSoRradHhRCm1yTiIYR24lj1bzUahMVrQYf2SlzseMPtmSN60y10m4nW2/QhceHoB5qxM2IaVSTo3SCReDN9na/pVy+Rysd+2vuafr5vnjUqbFShTT0LBJtU5oiS2guVy2Ff7b2QLlQ/rtRXzXGYjp6z1sS0PzHFHUmS1K+tbUY1JEnyuxDCMtw2XVnXa83zM/N1UmyZrbbUXa26DJ8JIUwTx4MHkiSpk8WnvcL3oV0bRU7Vxds2e9l694lttGnY5r54Jl20eXQHftRmvEdIZXCPYlRm4XelqIHPglR/Jro1FTKheBE/r/7QNvXh1XQRzTuuIC7IdBRNDJbvALJ1lWh+0GaYaKawShWJ6iA2j35K1NnfER/e5XLu3g2SJPlDCGEevruB4wpYGD6Ba+shUqSqoOyq1FLhvqOGkHdVK+R+nB86fk0IYYeFjmdIkuRfaf7WBxZAvkuRqcYild+NlwaF76OXUmWWW+thL3s4F1dXEMPFQaUxIVerYWneRKV1ShI226pSpSJFOee47g1Y6narvr1Bi+UmhNtx2pPecJyRgqCVYkP1MdMixxjuVe9YYV3m2pdDNx3sb4CJXtdZW6XK3Od5JI43Ssu8U3yrchO9nnuN5da6vnBbQcABosXqz0IIN+EHSZJsSYnU06I7KKLlehftrbbeVhUdYF/9qzkTBsEIfV1krF8aT+xtub65OrVT4jVsetumkgU2N8qEoi5MsNpWiW6KnVolwWoUTtXVry20UrnbLXFlPWa4j1md5Vm9iJrmNONw0jJbDNc269MxUWlNEkV0If1/23SgzUCuQvWI2Ih91TqVh6xLx/ZBSpyT9si9ZZMbzM+XVJaI8+P7MC+E8KkkSZ6u+fppReo+tBuijYN00FmxD+lmtXLv2GyAEgdp7yfmG29VO9wXQjg6lXQ1YydFWpF6FKOGiY4i+cuBx4gzxHEiqfqiKL/qJ1asbhGJVJ7Ivc5Mu204ptaiAc4Vonw4w4vpNfH/CjmHNvCanUT1VReRG/7XDNq0w2dE7//eos7wfnFin36mXTbn7t2gQKRDRngfr88dNA/rc/97F8h7fqF5aaHQ8R2ufEgJ07XeQ/vz+hB2N7lpCKFEXBE5tJsOLnG8wXpKJGZb4hkzLLfWZlu11lIPHVNr7uA2T1gZz5UpOKYhmV1K2hag5Hs+nuuZ+pa7rLDOVU61r/7+nzuttsG3fKxei/f5VviBe6E8SZJdpu8m7SGah95XOy1n6vCit/zOYzpq4xofttQar3g7Zxl/gIF66uQGD1hro/9wgoe8ZFHa7tFeiUPtpbN2Sm0wxRzrq4p5pcSSYWvFBtnDyfbXX3ebbDXDQpO8YUEVZ34CZ4uGSjcQCdJHHOI4I3OGJ5NM83cvSCS57zcficR3/SXr5RvbwKpRMz4gpP0Kn/mEPXypwbbvuvFx08y1ySV6u7yG+2NjcJOFbrNEG0XuM6qgCcUKWzM3P7g4SZJCbn5TsXd/re2hlanWFbBe8Zf0+e/22rpbIx3PHsApnRW7zkCH6SgIXrLOVd60RaKv1s7SXV+tLbDZ/VZYEI1KNuPkJEmeqvG6U8WKUy0M0cal+jguVUHEceZtD8e1/ieSJDl+Oz/LgeJk+kOqGv4fEoNRmwnaDkII4Te4Ypg4OSnk4bxZbPT/c4FtNbAFp7yba0vNbLv2onX5MtUmzln8S4MuaSlZ/InYmpO/OrVFXPypb3Dc5XPuPiikJOyNLmJ1cHssl8pESWDaZDuiJomrUZmCHV6Z2hmwO5Kp6/HVbjr4ijN1qeawWT9W2+An/pERquuTJGlwBTeEcCsurunmd6/JRunn805zp6c9ZbrjjHSBI+t8rXGeyWR+/06S5IhGH3gTQAjhm/hBeyW+6kw9dVap0s89bKZFOmrjNAc63JAccfm3WcZ72VobddfBdc7ztBmZSchKCjLTV0UlzKiO2rjECYboXdDSOJGYZbFbPZ7JPJ8Q5X+XwjGG22yr18zPEbx99dNaS0+Zbqg+vuSMWq97o0e8Gg0BP5Ykyb075B+wGTsUIYSD8UKx4I+G1RncWx9mKnNhKh//nSEO2oYw1wwvWedSs0BvrVymjxN1UVI7Z4o4uakrZ2qwuBq4d81tRXKuTe+IESKl3uO+iV0Z2VjWWbHbDDVACaKT4tlet8gWZ+nu6/pXc36skPiRd9wfC4tvY+9M8pddt6BzWuXsrqUVtvqnVUpTiecX9fXJNOphnXKnec2m+O3WmuQ08BlaiNmtV9Sz2424uj5ZYjMaRjbWtBRXaesWqEf9+VOiJexDIrFpjyPFnpX0i7gsSZLtbrZPK1JPYfRA0bngXLF8ulHMhvqO1NK2njEn7/XaizFR+xGraZkzX55hxkzx+jpSVevUK3aznLsPAiGEyTj096Lj0bbi93JufpOTJBlTx3ucYhcPHd+tyFSqqXwtCEVf8xGDGgjkLIS3LPVj/5BIKrFvQz/0EMJocdzrTrT/7qqdf6cTpM87TWftXOtvOTe/QiYU0y30K+Oz3qBjCslAmjLS1dx/4NT2SlxkrBH62mSrm0wwM42eKxK01VqZzVlmmHZau9Z52isx2Wy3Rf+Wu0Xlw4mqSt+PiaYg3+6oja/5iO4NZFjBilQOmBKqSTgu64Oq8/Ok22/wKR3y1nuaK1NNB9lq8QCt3WqoLg224lZhta0uMTOzRHen4YZuByGbocwnIyErk7oMtk3NJlYrz6R9NGKVOK1QXY/PtxQcoL3jdLJGhdstruq4inhL7Ee+Pdm1Mu3eU+RX2X9lb4fnpcA8pdSXzNFXa/cYWctCn0ioPup1CyM5/nCSJA+GEM7GvQGft6fz7aFVniHJFpXussyvLJTgBnvlKlT/bV7WS/WLJEm+uA2f4ze4opXgY3o4S3e9tbLYFvdb4R7Lsz6w3yRJctW2/js1owpZFfy/xFyfbUGFKivoL0ktimPP4+fexfFcjFsHiom/hcz+F+NwOUJVqxpe4/VuwuU9xOpF/jhTLOr90kHr5iRJ/nN7j7sZ24cQwmfx+0PEi0jjk/IiuT9UzqTgs0mSfBDW6DsFmrQ1+nbgKhQdZeh2ESkYrKejoutskdgfWhAhhKIQwk/wvDyr4hkW+pdZEvFEvNmjSm1wvFHKVfq18cZ5xnwrlNlsvhXGeSafSD2/qxEpYnicGDy5YL1Nfmm87/urf5vlXEe40FEG2UOlxHqbckSqn25+4Hzt09XfjVXipXVJkjyXJMkPkiT5apIkP8DL+E+4xAmNIlLQXUeXOCG7ux+RFLVS7BT7u855bnSJ65znFPtrpThHtDaovmD3hgUZkVqidqh7M3YufA2vz7PZf5hlVuaP1ABmKcsnUmWwYTudAcuqnveKaMH9UplKC23J75G6WFxgqVduk9pvz4OzdLO/9n5hod+lRKqloJMWWsbL6WCReC0IIVybhsM2o2F8BL0HKcnZzWeYlPannaV7QSJFzCg7u0rkdXba/P8dIpH6tF7ViBS0UuTTerkqXYT7nUW58eeEKkv9+goe1ZBJ+4rEXq/1KmxQoa0W9tLGl/XzS/toFT/Dlen+zdgOpFWg86hnMlEP8i1p8p5/fgihdYg4JoTwhxDCsyGEV9PbP6SP1zoJ08euIFak6kpN662a1/aVhV4rfb1OorQvR6TOEVdpzknv52UwfC6E0LiLcjN2JO7GqhfEXKptwX/LEal3k5W3S2C3MaBIZQsXwlij3tVrjTXK02YQ7Wfrkjlcj2taKHKkoY40TBstTTHHGxbksq22KPcr443Q1/4GeNU8k7yR79qXj+likOcuiSRJ1qcroj8q1sJipe72r4L7dtLGcUY6xQFa5E0u3rAg+/PNAk/7OLr3082QbQjXhCF666ubBVZ2hVaK/ZcPGZxKamAPnXzUGAcY6GceskW55dbopbNE4g0L3O6JbPffNJtP7NxIz8eT8OjbNo36lOnOs4dz7VHQlGKBzf5imbstyyjQ63gD5062brtkfs9XBVbPTpLk9hDC79UfEl4n0h7OfvAPK22WCDhKJ0foaLaNnrXGVol2WigRLLG1Nb6N/iGEi5IkKRz41owMF8E5etSSDr+V9ms2ZGiyZ1X23QhRdnlAZ8XOb2AB8Hx7+JOlZtnodRvsq31+Vtq2nHy3EKWfM20000YPWOlyfVySjpuH6OBjehhnGXGB6tJteP1mVGFflAyTJte/C+wlhovNjCq6b4pu2SML7HqEaJY3LYTwM7H6nI0hPXBQe1HaVx/OFVen11dl2xVazDkZrTOjjHNEmSDxhDlHtPHuj3diL9Upebs0431AkiQb02rkvd8iJOLJU1+FKhGtR79TdXe7svLykS7YnYkhmIV/NKXrzW5DpsRxpmNX7e25ja5aNbGnrrpoZ7UNHcUvvmbD3QgpkbrSKTlDBTjDwc5wsKnmudEjuQrVtJQEBLRQpLx6SG2FeIG7simdXNuJO3BduYriCx3lVfNqGYIcaaj9DaxGooiBvWkv0lbRwr4mLoJjjSjYI1UfguBYI9wpFgXHGlmNSOVjsJ6OM9IEr7rVREP1sURpVpEiyj7rCy5vxk6CNMPicFxfwRV/tsyfLTNAa0O01V4L61WYpSwn6Utxo1jZOgjn3me5i/XSchvEAFtVZv0zxIiZzL54ucITl4JIV4d/KjpztYbNEm0U+R+DPGedH9eI+8yTD2ZW258Re6q+0+gPsHtiLxhdgLssSavmC9RvgLawqrr+/9s78/Aoy6v/f+4QgSCrCS6ogLIjShexLrig7autKLhrpf0pUkUQ+7Yq1CrW9bWArQsK/lpERREQEFxaeLVCFbBUixs7soogmLAFBBKSnPePcz8zTyYzk5lJiEDO57pyPXnmWQcmz9zf+5zzPS3ROgMu4ogKEalY6pHFhTRjEvn8m52cTMNwr7SU3F/9Z/2HWUAfjqIbjfiInYxnM8+ykdNoFLH370VeIKYqFoYaqXISqHVsdXAKWnyEToBwFCpaYnPd/wJs1muPAbo75272k3uNQc0m6ldyrRxUeXlDitjedgHNCJ3rJzEb/wsVU/Vi9jdqlnCvvKHgpqORzmspb0qxGw1jPUMkIiVAfxGZXpXreyE1EZ3wDpjsnLv2YBnz1iYxdRKQ1C0vHY4nl218C9ogOLaw91aAs+hQTkgFlFLGeyyJW3EjEBZSq4jWLaRixX7Q4wevU4FrvmY7g/hpyse+w+dBesvUBH0FTgStW8uEcC1bKj3B3uYz9rIvEHigqX3PoOYlFpU6SPDudgOdc2PRydhr11FUf13FQfFe9Avh6cB5yjk3B1i8hZKTZrKVS6IZv5Uyk61s0QqDRaCuKuninGuK1vl1Bfg+h/MZ3yLAcE7kAwqZwDcchuMy8uhNHi2ox0bvLjeNAvZFn1SDnXNPWQ1VUhoCNIjpCbaXMgq8Ffp0CvgFRyWsmZoWHZO2QPuVxnVxjEdzH9UK0krfjSZRfZbi/f8KVEjd7ls7nEETBHiJzUyjgE404DO+JT8q+prEP5WRAg2gev4Bheh/cgP0i+bnEI1zes4B7kVdAQcCu73vgG8CWwjq2reH5O5ueyinnmJ72wVsg2hDzHcoH8J82y+LYvY3ap5wr7wFcERftKnXD9GH2i5UQIX+g7agEakqCSnPpcBVjVEBNwHYqcJqPMTvX3OgUZvy4BsA5FR4tGRG6Dzxnjc9Ac5KMOCew1IWsZ5G1Kcf5zOM6+nH+ZG6H3RGO0dE2orIiNoipEI8DpTNYhHvx093rMB7LGEWi0CzU55IsFtDCDcETo96oeNyK8maCfUMKwOuQBu5t/Q1XCakDkJEZIEv7G4KnIoOQm71y1OBpiJyY9jC10eSHgcYxno+T7Gjx+fs4o++mTc6ZumU4W0/BnRtST0m05nuNKUMOJPG5HFYREg9SVsG0zISbWtPAwbTkidpG9RQgU4gZ1zYXkvYBeVq3QivZ6GRqUf5ktKY6bTAzW8DxeEv5iIgIsQqIxA4h1OHnZQwI9IGlWdTvP9WAN1inm9BpO0jdtKThfRnBUNZG2yu75wb6s03jPTYDYmVSDqMRXOjGqDRpxuoKKQC6vrt//D7+9W+6LPm411Unmv3KpGoVLzedgFvA0Xr0Zn7KWhq31+IpvhlQ/CkK2I/9B8yUscLo+PQz8OH29DPyHS/9EJqBzoxXAQMc8793Tl3ZRX//tuDCqn/j/ZU83SowjlrlNokpnZDOYOCKhE6T7w80SaQuAnvPB+Iv4Yz6UZbmnI43WjLNUTczq+urIfVoYyI/BsYBDCeuUziA7YmGIRuZReT+CCwQwcY5I+Pxy6AvSkOTGIpCh23pZKsmYLo9h0i8pqI/NNE1KGBiBR5YfWiiDzrlwuS2AOPBV7YSxkD+II3KWAf8TMX9lHGmxRwKysoig62ewALnXPDfJ+8lPA1UtcD/Ik2tKY+r/m55Ks4kin+98vI47QEZiyn0Zje5aNpt6R6/VrKKoAPY54P4UjVYTimU8DlLOIFNvEOW3mBTVzOIqZTEBav4PuzzGQrxQk+MwFFlPG/frhzGo0YzvrAFn22iCxL8f7XgYqmMMH72UQxWyihOdmcR1NaaYJWFtooc5oJqrRZDOouUxUiMzZoROqMFI87w+/vCdweR4Hm836d4LivgT9EV0clqtsUkR2oezbNUOE0FX2IBEIqlNf3vIgUVjiJUaOIyB7/nfYjtG7zZ2iwKJiZaQIcjUbO2wM/RbX3Jufcf5xzU51zY5xzl3ivglRYgb/ILX7pWV71d1Qz1CYxtRhgPdUT5AmdZ1GczTug3IC6HNu8MGgXY4IQMkVok8gdp7YgIqPQLISyWSzi90xgNG/zHkv4kJW8xxJG8za/Z0I4IjXAH5eI1aCOipmwNHTcXJKPTULb38roYsYhgx9o3IwXVA+wjp4sZDQb+JidLGM3H7OT0WygJwt5gHUUIVxCLi/TicvII0uf1YOB971ISoWfAfVPoxEnkEMRwgaKOQzHGTRmrp8P711J6mHM9jbpCLpayFiAKeSXa51QnyxOpZEPU+fRgrpsoJin2cDdrOFpNrCBYlpQlytoHsim/6D9fj7dTgkTtT4pIRP5hu2U0I4cXuWbIColwPedc2udc7Occ328g1wiXgJ4mc08yVf8ix08yVeM94ZJQV1APiV0pAFTOImnaUdT3XIxmlVhpM5CYO8yvArPkDnoAOdoNLUvHX4OQfVvF9Tg6mXgw3Wo2HqR6IzxHr8eskX/EE3FSsZdwGf5qHtfS6CdX5YQSRVcC/w+zVs39j/rgdvRYNERnYCRqKvSer/8NQQ5O0egWYGXow6zbwArnXNnJ7uAbxx8HpC/E41a+pHzDLT5+UFBbRJTy4HCrexiQzT1ISM2sDWolyrEK+oY3gKYl2DA3cwX8H4RM++zIrreFBhvgkpGoc5DEwUp+ZS1vMJcnmMWrzCXT1mLIPvQOpUzRWR0JaccC/h6tfT6qwnCe6rHAZjNYlb7AUYsq9nMP6P7JhN3Ri3BRyX7Av2BPVso4Tk2cTMr6MNSbmYFz7GJLZTQhvrcSyvuoxUdacA9tOI5OtBCk3a6ATNSFDTNAFpH2gZoqlkDsqiDi5gTtKjEXa5FxWSh9G0Jaw+vA1+vYS/zKT/JfqW3PH+HbYykHY/Thl7kcj5N6UUuj9OGkbTj7ej3U9A4+QGAkWzgRTZRFBOhKqKMF9nE036yZy17mRmtbHDo90krNML5ElG7+3hZYD8AnZl6ic0MYiUvsZkyoD8t+AffYyAtyAKeZSPzKOR0GvMQrYPjB1p0KnV8NHsSlIsQpc1zfvkrEqf2JaKuP87Tz99TT7ygugE1pDjRL2+gnJDqmaxhL0RqTrujqaZFX6JWu1+W36018Ilz7uQ0b9/YT/i/4ynARXloiHwxWjTcCc0FzEf/U/ehzjuPoumfjxJxp2wNvOOcOyfO+b/vnJtFVJM1j9nlp8A/nHPV5c+yX6k1Ysrbl48HmB03mJQ6oeNfTmCLPho0OrE4xiUL1JgCYCIf8CEr2c63fMjKiA14lqZ5XEfVnq+HBCLybxG5DrV0HoK6D03yyyFoHdJ1SVL7wkwGCtazJSxcU2IFX/OVDnLygXHFlPA4f2Mq/2YzOyiljM3sYCr/jtiio2kL89O6kHHI4gfGJwI5uWRzAU3pyuG0I4euHM7FHMFfac9EOtObvHKOkyfTkDHlBdX9KVxyG+jgGiDHp5rtpoxSJGKbvbESd7mNFVOjU3KGq4140fwMwFDWso5otnYPmtKNRmyhhJtZzgaK+Q3HM5w2/Ibj2UAxv2I5W6NtTX/knDva1zHcIaigupiFjOBLXmATI/iSi1kYadgLsM87Nd7E0UynC+9wCtPpwj20pL2W+Oahbm8zvdNjmLYAzX0M6ljqcgm5jKUD/TiGhtThRo7hVloARCJWp9M4SPk7GjirOv9NawEjAZ4mdZeQWILjfpzh8SGXvTYAvmfdOfjedruANZSrkUqpt12AiOzyDXmPRINhW0A/bLcRKYxpBbxpYvyAYTBwYR7aEPNCytull6IWr0VAPzRa8TvUNeJB6cosAAAbh0lEQVR3fr2f7loPeDGc8udbjswBeiQSIf71HsBcv/8BjUuxRckhgbcsX+hwWYO5NKG1dTJWs5nhvIEgZeiEUB/gCREpF6L2DXvvrEMWZ9Ke7nSilFLeZRGL+JKicn3Ao3TheOqSzcesCV7qICLxol9GBjjnHgSGNiaHIfRKqXFvAYUM43UKNdnhIf/zF7wLUgKeB26xOikjIHj+ZEHWWDrShcPTPsdCdnETyynT4MHJIpLQocWnA34F1J9MZ1pTn94sYgPFPEFb5rCdqRRwNc0ZTMuE1xzGl0yO+natEpG2ad94LcIPBhcCHZqSzUO05nQa43w08C5WRWqS6gCNyGYnJRHLilNpRH2ygjTMISIy3J/3MrSUJd5MbRmQVR/HEFrSk9y47R8EYQG7uIfVgVPkbOAiESn217gDNS2hLvA47XiLLcxjB7sopSF1OIsm9CSX37KSIoR3OIVmHMYdrOQ9vecrROS1avnHrCX4/ooDOqAjzNgp+mTkozONRWhX+kym8T/BhyThcxEp1+DZZ8hk1NsuHv5z/FoHVATW8/felUiBzGXV5BBnZIh/hq0DjpmJCqlY3kQt+Nqg/2/xiqNK0aKq1bp6iYi85Zt8z4HoF2AeqrBbABtRp8kYR5NvgbNF5JOM39R+ptZEpgD8wOMxQRjDrCBVL2W28S1jmBWkiI0A+tzIeauIFm6GGQI8VkoZc1jGo0xjOG+wgNUJhVQWjrpks7B8ADy5B7eRLg8DswvZwzBeZzkbE6b8CcJyNoaF1GzgYRHZ513dzkDTZrahg5ltfv0MEelrQsqI4TYgqxd5GQkp0AhVL61hykJrChPiXUDHA9zBKtayl8v9MG0y33CVbwI7jQI+JH7d94cUhntdgZotGUnwf/fzAbZTwiBWcjVLmMg3fEMx99KK33IcLalHqd+nFGhCHR6kNc/Qju5Rs+x2ofNOQ8e8Z6CRpRF+ORbIyiWbSZzEJTFRzTAOx6k0YiwdydXoUw/UKTvgWXx98WFkMZAvmMFWCimlDCiklBlsZSBfRKzdd1CKIJEIKFQxj752MgRYtBwNB6UaofoMOJuotXim7g074/6qiJIvIiv9sqoz8CeCRsPqonVYhegH0VPV/sVG1ekFHNMJ7QUWj8CvvB/xhRT+9VAKaW+//BNeSDlgODrj9yT6R/CkXx9OuUjY4f64A5ZaFZkC8LUG7wPdcmlEP85PKUK1ms2MYVbg4vYR+sy7DxVSFSJToet1Qgs6f5CF4yw60J1O5NGIAnYyl6XMZVmyCh6LTFUzPrVlGv75fRy5nEtnOnEs9TiMIvaxlA28xxK+ihqNzEZnzKrDxdaoZfgUh61A44l0pm3SDi7JWckertWWAYXAEQlSjYPrNgHeI06fqadoW67PVO9In6m6bKSY6RQwvXyfqSLgOOszVTnOuYnANT+mGZ+yK6m1eS7ZXE5zbuIYsv3wYSZbuVezEyaJyLVJrlMPHXvkPUt7Tk2jnO0/7KS/lvzmA8cHtS/OuVaoIQD1yeIamtObPI6hHl/7/mOTyA+cAnmHU1jGbgaxEtQyuaVNJKWPc+5otBVTl2zUznYg8ZXFKjSXdCQEU7PbgaZDUVvFdBmKzjIC40Tk/2VwipQJIlN5aPHlmoq7jAPusOfMd4dz7u/AT0eiM4DxuAJ4Da2RuirBPvjt1+ivU9GP2pIsdPZ5OOpOkojhqMByEHwLdRaR2L6uaeEjYwNQw5wg2vo31JUy48hXrRNTEEl/mQF0czi604EedOFY7Y9Yjg1sZRaLmMfyIILxEZoWkdLsmxdTS7JwDORCusRJp1nElzzNzHiC6k4ROaDV+MGKL76+FzUESJZVEdRYPhykwhhGuvgUv8VHU5e3qHqN9cV8zmYdoFf65eIF1Z9Qm/SIcUUOWfyRE5jPTiYkcYqrA0EK2kMicl+Vb74W4JwbA9x0Ny3pRR7vsZ3XKWADReymjAZkcSz16EUe59I0IqICppAf9BkbIyK/incNf50+wEvtyWE8nRJGpOIhCNezlBUade8jIuP9Oc8APqhPFqNpx8neMCnMQnZxK1+wlzJ+y3GMZRPbdVg/VEQeTvkmjHI45xoCw9DBHqD1RN8jOur7lAp+0aNQ57SZR6O5WemYUBSjznreTukcEZmT2d1XjnMusNG/J3itLiqqdvp78RShY+n7RSR5TwCj2nHOLQfaLyFxg8MLgFmo2cTvkpzrj8Dd+uu7qPv1r0FT+76CpPZHe9EU1pCqflJE4mWCVYqf0HyK0N9WHEYBtyeboExEduW7HHqIyBbvLvKAIHfOYVnWHJbRjMM5nlxyqMseilnPlnAqYBmaVnF/mj2gbgU1nYgnpAC60JLudGSOuv+NQxX8MotI7T+8MLrPOfcI2j+wL5p+EDzXV6PpM1MqcysyjBQ4CQgMAKpMexqwWetTugBJxZSPpvZzzg1BHZJygSv2UHb2f7OKM2nMYI5nFXuYyw52UkpdsqiHYzP7AiH1IqmZXhjKCoD5FHIFzbmAZlwQ7qhTCSEnwC8q2bUvwFU0T0tIgab8XUlz/kdFW1+iFtcDAK6heVwhBZpuejXNGcdm/sxXwct/Q4WAkSHe+W6gc24sGhS4djnUj9NsZy/qYvu0iCzwdU2LN8FJr5C8mDeWV4gIqUXAFufcVWgv391oyufyTAaXsTjn8tCMkO4OtfdrBHyOisQjgVPQcPs8qCcaxWjpnOtrgqrGaQjJbVuDKtoxaHQpUc3UX6OreYRK+n5OciEFOvN3Hd6hRemaaN8UeAoYUA/NYSxG6zKaoYJ+ur42AOjinPszMCOdCfRaKaYAvCAa4px7EY2m99nGt43j1FEVoml6zyQr9k5CT4DuCfW9EhJTZ+/vMLsRxQul8VTeK8MwqkIDIOKgV1VC50moznw07Fb0GRRMbL+Fzr6NBO4XGDyPwnrzKCQbx+FkUYywO1rXWYQOkB+wAU1ajAMeeY/t2Zsp5qg0YgWbKOZ9toM6Do+rZPcTAbqlYKQTj1Cz5hNDL18MqfUfG6fDcEFT3odZel/1ICILgBudc/3RCZMu6N/6HlT0LApP8omIOOceB8YMRKNZqTTu/RflpunbQKj/R5RC59x4VLilPQYKRcZvAOo0QOtwYh0mdkJElvcG3gZ2q2Hcl+jny6g5dkFi29Y9qMMOaMppfzR9J/ztVupfXx19qSvwcbDSIsUbidkvo7YcQWpfPVTEPR9nn5CBxDn+p9g59yqQUv17rTKgiIeILBGRgWjDsc7A1egf8NV+/QgRGZihkAIdxJBXyWcgN7o91qrWMIyDn91ApLdTVQmdZ0/sNudclncTDdqCtEYn4Fr79SWoQLofbRcyGFhVgrCDUko04XiVf/1YEfmDCan0EJFNwNQytAFuOrzs+zoBU/15ktEQ4PAMv8obRI8Lf0E1ATim0v5jke0iIg+bkKp+RKRIRBaIyIsi8qxfLkiQLTEWeGE3apH+AlRsauAp9tsvoNwDJKcl6tD2C7/0uTSN0UmZhc65Yek07XbONUVrNm8C6jiiQqou+jD6FC34+tSvB1GC/yJiQDDYR7WMmmMVaF5ePAKR1QSNLo1BXfv+iNZI/dGvj/HbQ4PaSFbXxhRvJGa/TNtyDACNSD2Pir7BaO+swX69DP3stSOSC18XdetemIpdf60XUwEiUioiS0VksoiM88ul1RDe3gFQUMlnYEt0uxkcGMahx2IgqE+pMitUmwFxm+YNA+7MxnE5eYyjIzM5hV9yFE2jc4d3Av8L7BCREd7uPAfNtskRkbb+9S1xzm+kxuNA2QS+YSopteNhCvlM1Pq1MuCJFA7ZBfAtmWnd3dHjwl9QOwC+rrT/WGS7fWcdAHiXvZvxgupGVAwNRR23PvHLof71G4kKqX5opGEd6tI2zi/X+ddvBrJ0vDgYeN/XnafCY0DXQAmdRVRI/R0Nj3dFB9td/frfiQoq37Csnr9do+YYC5rCEM9VIZh5+RY1oWiNRqDuRs0m7vbrrdG8zlC+VyQy9QpU8oRR5TWh/EuZtmK7GKKTC3egX5IX+uVv/etXofnZm4D/ISKQOhDti50QE1P7n7cA5iYva2CupviB2vcbhnFosRwo3EQxK6soqFayJzCfKMTX5gT41L47s3E8Tht+Tyva04AHWcs4NrO9fGTsx2iH+cNAU5+99XE6NaFGAnwj8UEAj/Ilj7GeTQliBZso5jHWB6YTAIMktUbkqwE+ytAUO2SJH8rG4W9ArCV+BULb38ro4ka146ODfVF9tHgz6tJ3Luqpf65fD2KlucAHaF1LlwTn7IL2Q5iHDo7RpuEzKotQecF1PURzkYOk0pvRqFg8LiBqpx1KXr0l2bWMaud14OulaLplLDmoFXIJ+uBYiQ5cb0Jd/m7y6yv9j08an4XqM7JQU4mnKrmJp/x+oWrQ051za51zBX45yznXx7uaJqMJ+C72wPkxG4PP4tehne8m4nAJcE1l0SkTU/uf0QDzWM6i8v2jIiziS+ZF/XlG19B9GYZRQ/gI93iASUmc81IhdPzLcSLntwJcSi5n+OSKaeTzAYU0I5tHOIEZnMwjnEAzLZk9h3KtQIzqRERGoTW5ZRP5hktZyJ2sYgr5zGQrU8jnTlZxKQvDEakB/rhUGAswmfyE/fIS3hsSbsY8NrRpFMAk8lmoga8KLGQXr0aPTfVejRrA94V6DjgZ/fseh2qhz/1yEUArdJo/ldoqgNOBuZQTVPdXcsjPgPo9gPVotOlzv6FfJQcG2xcCfgTbJp30QqNqeFH+DGieWzwntKDW7mE0gtkTTeub4pc9/euPRA8Z5Z1nZwfx8CGoZWPs7N1e/3rgEhh6sv0I/ejm+mUPtLfnV865B71Lczx2ABELoFkxG4N0xlZx3mMo5e9nCc4N1FJr9JrGOTccuCvaZ6ojuTRiCzuZyzLmsZwy/bgMF5Eh3/HtGoaxH/BRo4VZkPUcHRI6pSVjIbu4ieWU6aD75NhaTufcGqD1ODrS2TcG7sNSlrGbRziBC0PtH0K9jBaIyKmZvzOjMpxzP0J7El5JfOOnfaiL6xMpRqSC8+6PPlMOFVc31CeLq32fqRbUY6PvM/VqtM/U8yLSN+WLGt8p4WfQB+jINF3mo+l3iZ5BoWvdDjx5E5ojlYumWe1Ea6SSFYdvRwe+jVAx5fvQHCkiqeXLGlXGR2JmAufnoS5soTo2Sv36LOAo1Ov+l0SdjsahQspHQecC54lIqTeDmAPRzvV5qGtfC7RGagJUiIu3R3PTz0cjloX+2s9QLvcvbj9Q59xfgX5XozVdddDUvgtQIfVn/34+oOLkQjs0uoZmCzyd8N/LxNT+x/dWeBTNN07EcOBuK/Q2jEMX59wwYHAL6jKGDhyZhsvbNxTTj+Vs1FSxYSJSob2Hc24r0OwfdKWpH7P/hM/YRgkzOJnmoevlU8xP1ZMpX0SOrNIbM1LCN2b9JfodHbRh+AJtllqZ2USicz4IDM0lm7F05NhKDYdhA0X0ZRlbNAGnQv8wP5D6C8ldtp8HbjHjiYMH59wo4Nab0dS9TLkF/XCg0YaBCa71C2BcD3SEWxctyPwKNZtI5nH9KfB9tMfQJghaXudYCnLN4py7F3goWO+Epj5cgD68NqIPsyBylQ00RcVwSbkzcZ+IRM7jnPsJWk51eKghb/lr+9cdOji+A+I2fxDU4eQ69LOCftwuCtuaewH3cTI3v/qo2G+CFlgNQB3ojiJS29VbRF6Pc6hew8RUzeEb+PYHLiEq4N8ERovIsmTHGoZx8ONTVd4HurWgLo9wQkoRqoXs4h7WBELqI7S5ZoWBRYaRqRVAR7Evg4MSn9oyE+iRSzaPcCI/pGHcvlOCsIBd3MPqQEhVGHjEnPt0dFxRwV5fRObvn3dk7A9809KtQOOFJK6RSoVFELQeL0QdjysYdfmaqa+A+sejqX4/Qw0mbqNc76AK3IZGHIL9gVXeJMeoQYLm45eiXzpfJ9m3LuXdI89HvfZ9n6kKzce9wPkTmqqX8Jyv4d0jKmENcCYRQRVvgugZQn2mdlN5secPiDhmFAMNk00cmZgyDMOoQfwgYwbQLQvoRR7XcCRt47SMWskeJvENr1MQ+K59hA5+tyY493+AH15OHr/3GeCT+YZhrKcZ2dzB8fyQhixgF39iPdui84cTgOtNUB2c+F4+0/ADk/bkcCXNOY3GNCCL3ZTxIYVMIT/sKBk3JcY4NPEpfotborUsVaUlKpCAzr4WJt41xwA35aFpW93RfK/AzS+eCcW7qIgqDu0PDBaREdVw20YaOOcmAte8guYnv4GmbK5GQ+qN0AZ1N6FW+iWh13NQx77r9VSTROTaBNfohAY7u/pDdwGnATmzgfPSuN/ZRMwlyqUu++vUAZ5Ea1gjNEBdgvqh9YBr0ZqvkRD1zIWXROSXya5tYsowDKOG8RGqB9A08CyAoziM9jSgIXXYRSkr2B249oHWJ4wA7k+W6uKc2wPUrwM8QVvOoAnFlHEli4OoVjnyyGYHJcFVnhWRW6vvXRo1iY9Q3YtmPzRPsms+2mPz4UQRKePQwzl3FfDqpahVW1W5lIj18NUiMjnBNZugWVhdQdO0ehG1R/8VFQexf0WFVG9/n6JZVseJSHJ7SaPaCcTws2Rmp/gs3hEpTmQqyTX7AC99D40KxUvtS4Sg6aG+hqqPiIyPc/7vA38AejVAxfvpcc41HxX7XlB1F5F5ya5tbn6GYRg1jLchH4Jmy4wCCjezjznsYAZbmcOOsP35KLTQ+3cp1Aw8DpSUAr9hFY+wjodZx0aKcUBTsqnvv546ksNbnMJ5EY8j+jvn2lf/uzVqAhEp9qktx6MmXLPQMeoWv5zlXz9eRO4zIVXraADJjR/SIXSeiiF1j496nosGNEoEtdrujQqmZ9DBbzO/fIaokHqbSC3NcBNS3xkrQBsSZkLouC/SOKwvaG5xOkIKv/+A6GpcYxwR+QTfV28Q8YUU/vXboquVakmLTBmGYXzH+BSE9mgpQw7aT3MRsCLdxuHe8GYYGvUC1L3oz7TlLJrwEYXcyhfUw3EOTXmf7RRFS4AHpmHLbRjGQcJ3EZmKuX4eWgJztkMdARuj9ufbUeOCk9HZo3lEhNSLQF8z5vpu8IY567Mgex1wXBrHrkcjjmXqH9IyVYMd59xaoNVKtOYqXVYBvrhurYickOAaW4FmX0T3jcsX6JcysE1Ejkiyq0WmDMMwvmtEpFRElorIZBEZ55dL0xVS/lxlInIXakb0GcCl5HGWn0s+lUZcQR5FCO+wjSKEE4i0cMnELdkwjAOfxaBOedVB6DyLUtnfR5fOAx4SKJqL1k1tQu3PN/n1uURS+x7EhNR3ihdAU8uAx9I89jEI6nynpulU2hDKNWxOi0Zxf61AE4j0TEtIaHulAV2LTBmGYRyiOOdWAyeE3f0g6uq2lr20pj71cdygjcPXiMiJ39X9Goaxf6hpN79K7iUPuBFNnwoHIFahru1jRWRLFW7RqCZ8j7wPgKxUa6dCtVJlwJlp9s5bi0WmDMMwjAOIJgAtYnoPORyn0ograc6pNAr3JqqukgrDMA4gvOAZD8ltyVMhdPzLGUbPC0RkhLc7z0FbUOWISFv/ugmpAwQvhAaBOtv8moiLYwXW++0hF6NB6Qgpz2rQAs9MeDfmPAn4G6jhSTJC2ytzUTcxZRiGcQizA2AjRUl3Cjn9mU22YRy6PA2UjUHdyjJhPpFBZhnqGVEB51xn59xI59wa59xWvxzpbbDL4c148q0h74GLr6MdCJQ9haa/XYZGoF7xy8v860/pIWXAgAzrb8eCui6lmzcnlPtAjk2y6yjQSYFEfwfz0T+W8P7JMDFlGIZx6PIWwDSSm2FNj25/cz/fj2EY3xEisgR4rAy4DtiQ5vEb/HG+FmaEP18E51yWc24EWp91Gzq+buaXtwFLnHMjvEmOcRDhhdGZwMQyKJmORqCu98vpRMwmJqKpfaMzvNRkoOBT1FM/Hf4JfK6/5gNTkuw6H3hhN2p/PgRN6dvnl0MoZ4v+fCoNyq1myjAM4xDFzwQvCbv5xTKPHfyWlfhcnU4isqxGb9IwjBrD97h7H+jWGu3WncgeOsx8VEit1dWPgHNio0leSN2Z7c9Z4H/y/M+/IHjOPOZNcoyDEO/y90ugHWr0sBPVIePSNJtIdP4HgaFHo8VacQufYliDKj1/8Yd8m4hk1zgM+AtwQ5LdngduEZF9SfbR85mYMgzDOHRxzg0H7qqDuvr1Jo8W1GUjxUyngDcoCAY4w33vK8MwDmGcc7nADKBbFto4dxDxTSkWoalbzxGJSH0EXCQiW2PO2RlYnI32jPoozrm6AZ8AJbraWUSWVvW9GIcevgH5TKDH0Wgq4XnE7zslaETq50SE1Gz085lSHz3n3Oloe6qeaM3wDjSjY1QqEanIeUxMGYZhHLr4lJpHgcFJdhsO3G02xIZRO/ARqgfQfnRZoN2ev0d0RPkp5cwGyoARwP3x6puccyOB27qj9ubNURF2DhoGux3NvToL7SMFjBSR26v/nRmHAs65JsA0oAdAV1TxXEA0FPYuWsz0WfSw2cBlvll0jWJiyjAMoxbgU/76A5cQHS+9CYy21D7DqJ34iNJAoA/x2/sUAi8Dz8TWSMWcZw3QuiOwDE0fvDa0fQIaPahDJNWvEDjdolNGInyE6l70e6t5kl3zUR+Mh1ONSFU3JqYMwzAMwzBqMb4PVXs02y8H2INm+a1Ixf486N2Th9ZJbQBahLZvBI6Nf+gI4HcWFTcS4ZyrB1wJ9AVOJBqcWo269k0RkeSWtfsZE1OGYRiGYRhGxqQameqKWqv/FR0F+/opq9c0DmrMntIwDMMwDMOoCm+BuvaB1khNQCNSE9BmrgAd0fy+Z4E3gGx9eXC8HlSGcbBgkSnDMAzDMAwjYwI3vzrAD4jv5hemP2oe0B/1pwaeEpFfJznEMA5YTEwZhmEYhmEYVSLcZ6oOUIR27G0OrADqAZehDV73ArOAhsBpevgaETmxxm/aMKoBS/MzDMMwDMMwqsoQ4LESVEiBiqj/9r9fhqb89fLry4DW0WMrdhQ3jIMEE1OGYRiGYRhGlRCRMhG5C+iMlkaxFujgt09HTSle9+sd/XZPjfcGMozqwsSUYRiGYRiGUS343lEvgrr29UBro/YCk/yyP3Ae6uznebNm79Iwqg+rmTIMwzAMwzCqDe/OtyQbde27CPgnmtrXERVSM4FLidijd7Lm4cbBikWmDMMwDMMwjGrDR6dGlKCCqT9qNnGlX/annJAabkLKOJixyJRhGIZhGIZRrTjnsoBHgcFJdhsO3C0iZTVzV4ZR/ZiYMgzDMAzDMAzDyABL8zMMwzAMwzAMw8gAE1OGYRiGYRiGYRgZYGLKMAzDMAzDMAwjA0xMGYZhGIZhGIZhZICJKcMwDMMwDMMwjAz4P9B0smWAqBDlAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize =(15,10))\n", "tlist = np.linspace(0, 1, 6)\n", "for i in range(len(tlist)):\n", " t = tlist[i]\n", " Xt = (1-t)*X[:,I] + t*Y[:,J]\n", " plt.subplot(2,3,i+1)\n", " plt.axis(\"off\")\n", " for j in range(len(Pij)):\n", " myplot(Xt[0,j],Xt[1,j],Pij[j]*len(Pij)*6,[[t,0,1-t]])\n", " plt.title(\"t = %.1f\" %t) \n", " plt.xlim(np.min(Y[0,:])-.1,np.max(Y[0,:])+.1)\n", " plt.ylim(np.min(Y[1,:])-.1,np.max(Y[1,:])+.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Optimal Assignement\n", "-------------------\n", "In the case where $n=m$ and the weights are uniform $a_{i}=1/n, b_{j}=1/n$, one can show that there is at least one optimal transport coupling which is actually a\n", "permutation matrix. This properties comes from the fact that\n", "the extremal point of the polytope $U(1,1)$ are permutation matrices.\n", "\n", "\n", "This means that there exists an optimal permutation $\\si^\\star \\in \\Sigma_n$ such\n", "that\n", "$$ P^\\star_{i,j} = \\choice{\n", " 1 \\qifq j=\\si^\\star(i), \\\\\n", " 0 \\quad\\text{otherwise}.\n", " } $$\n", " \n", "where $\\Si_n$ is the set of permutation (bijections) of\n", "$\\{1,\\ldots,n\\}$.\n", "\n", "\n", "This permutation thus solves the so-called optimal assignement problem\n", "$$ \\si^\\star \\in \\uargmin{\\si \\in \\Sigma_n}\n", " \\sum_{i} C_{i,\\si(j)}. $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the same number of points." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "n = 40\n", "m = n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute points clouds." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "X = np.random.randn(2,n)*.3\n", "Y = np.hstack((gauss(int(m/2),.5,[0,1.6]),np.hstack((gauss(int(m/4),.3,[-1,-1]),gauss(int(m/4),.3,[1,-1])))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Constant distributions." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "a = np.ones([n,1])/n\n", "b = a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the weight matrix $ (C_{i,j})_{i,j}. $" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "C = distmat(X,Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the coulds." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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Y8EiSpM47OO8TkFSPNCqyQhwVOUws6LcJbDgqIqnrHOGROi7lvZwjrtYelfdyl5j3ctm8F0ldZcAjddiolU3PsrOy6TUGVjZtElc23a/7PCWpagY8UkelkZ0bwPJR4hDOkwwW39omVi8+A2zFTZvASUd6JHWNhQel7jpHCnZuAp9n93/4A2n7TeBo3LRMXPYtSZ3iCI/UQSlBeQtYuk4MavZzHTgV/3gH+LSJzJK6xBEeqZtWgKXjxGmsIp4i5vgAR4g1biSpMwx4pG5ahth6oeh/8gNp//zxktQVBjxSNx2GuBprErn9HynxXCRp7gx4pG56AHHp+SRy+79X4rlI0txZaVnqpk2IdXZepNidzTax43j++EUyr0rUVsCW6uEqLamDXKVV3LwqUVsBW6qXAY/UUSGEC8Barw7Px/fY9x7wOPBO/PJClmWXKj69RphXJWorYEv1M+CROmq40vKrxKXnw5WW3wSeo19p+RbwxCKMKMyrErUVsKX5MOCRStaknIxRIwmn2RlJeJ2BkYRbxJGEd+s8x3mZdATsBP3gY6YRsHm9rrToDHikkjQ1JyOd11niQM6o87qTzuvKoowgzCvHydwqaX4MeKQStCEnI11sn07n+Ahx6fkmcG3RLqIhhFXgjePANym+iu0x+n+Pq1mWXW3L60pyWbo0szSCssEeORkvMpCTsQxshBBqzclIQc3V9Fh0U1eifmnn+Gk+x3m9rrTwDHik2Q10JR+Vk5HvSp5yMpaB50MI/w8NyPVZQPOqRG0FbGlODHikGaRpojMQR3b2SkAlff8KsBq//NvAh0bsdjeEYP2Vas2rErUVsKU5sbWENJuJupLfB9Z2vvzQMeA88Ep6Tt3Kl9JuN1JukMrXr0S9XfCAkipRz+t1pYVnwCPNpnBOxkNidLQJHCWuvnkbuAg8n57fTtuP7vzsjZQjpHJtAHdvE3OriniTfuLwHeBay15XWngGPNJsCudkXGYn2LlJzOkZ/g+Yz/XJBT1nSzlT9aUcqXWI85H39tn/XtovWZ82x2peryvJgEeaVaGcjP5VjuK5Pq/ufHkm5QqpXJeBzS1iIvl1dk8zbaftJ+i33bhFTMNq4+tKC806PNIMenVVjhGno8bdQXwF+CnA+ivNMq9K1FbAlupnwCPNoGjl3BeIOTrn03NR5+nXX1nLsuxLU5+oxppXJWorYEv1cphcmkGWZe+nJeRrZxhfh+dBerb+SvOkYOJSCOFlaqxEPa/XlRaVAY80u8vA6hYsn2B0V/LeMivrrzTXvCpRWwFbqodTWlIJ9svJ+CfAt9P2vXJ98szhkaTyGPBIJSmQk/EB8CG7ZEtS/Qx4pJLt0ZX8M8Av7NVzq+ce8Dj9JckXsiy7VNkJTym9zxXsBSapBQx4pJqkEaAbpEajo3J9tomVdZ8jLv0iLkl+okmrdNL7OEesiTdqJOsucXWRvcAkNYYBj1SjttdfGT7/+A6eZecdvEbuHWwSz/9+3ecpScMMeKSaTVB/5e8DT9CQKaN03r8K/FhsfLFObJk6PEb1FnHwZwvi+Z50pEfSvBnwSHOyR67PDeCv07ApoxDC3wH+1k43sP2ykE6Qgp5G5iBJWiwGPFKDNHXKKITwEeBd4MNx/dhE68xcZSZp7gx4pIbIJzU3bcoohPDPgS/M0A3MOkKS5spu6VJznKMf7NwkjqIM/xc9kLbfJO7HMjEfqDJp6u3Pxq9OjzincQ6k/YH+iJUkzYcBj9QAKag4E79aZ+/8GNL3X+19cSYdX5UV4CPxj1N3A7MXmKS5MuCRmmEFWIpTRk8WPOQpYo4PR4jJz1XJjc5M3Q3MXmCS5sqAR2qGFFTMd8oohHAwhLAaQlgLIVwOIawBP7qzx2vE3JwitomVhYCYayRJc2O3dKkZDsen+UwZFaienF7iNjFpusgqrTfT/nwXuDbL+UnSrAx4pGZ4EJ/qnzLafyn8Pyb2ev9wOuIMxerwnOl9cdUl6ZLmzWXp0j7qaJIZQlgF3ojBxtvUtey72FL47wGfBL5DzDH6t8R9C3UD+x7wQ1mWfXfSc5OkMjnCI41RpElmCKGsiscbwF24vTTFlNEdpp8yGloKP2rU5sPA3wBeAH4f+OPAN4hFBffpBgZfNtiR1ASO8EgjzKPicQjhArBWvHXD48A7MGXrhjRytQUs7V89+SFwkvhW/7P057eIXS6GfQj4AOD/BD5nHy1JTWDAIw2ZV8Xj3a9baMroFvDENK+7M41WtHryfeLMXm/B1Y8AnwF+F/g94DfI5RQ1rtO7pMVmwCMNmXykpbwmmaNHlsZOGc0UVKQl5xfgPHCx4FEPiUHP18bt0Ov0fsWRHUlNYg6PlDN9xeNTECsevzxLInOWZfdDCCeJ7SKeizk9Lw3vVlZQMcVS+EPELhNfA7hKTObJd3q/5oosSU1kwCMNmqHi8e1exeOZmmSmIOZSCOHl9POWqSaomHUp/DeyLPtSCechSZUz4JEGzVDx+KXe8aV0BU9BzdWyft4IKRnnNeBFii+Ft3qypPaxtYQ0aK4Vj2vWWwpPTMAuopSl8JJUOwMeadDcKh7XLY0grcevzhATsPcyUD153VwdSW3iKi0pZ14Vjyc4v1KrPte9FF6S5sWAR5Woox1DFSYrxtdznbRK6w7w6SreX5Gqz8TRmomrPte5FF6S5sWAR6Wq8sJcl7orHhc4n8qrPqe/t7QUfuTfm/V1JLWaAY9KM492DFUoa5qnjFGuuqs+p3Oucim8JM2FAY9KMa92DHucz0zBxizTPGWOcs2z6rMkdYkBj0rRlAtzycHGxNM8ZY5yNTWfSJLayIBHM2vKhbmqKbWi0zxlj3JN3tyz9/PrWTEmSW1iHR6VYYZ2DPTaMcwkBRsp2DlKDKjeJjbFfD49v522HyXux0Y6bk9Zlr2fZdnVLMu+lGXZufR8dUSQdm7n9W8SA7/h/2IH0vab+fM4O+alZ6j6nD9ekmTAozI04cJcdrAxkembjgKx6eioNi+LVPVZkiplwKMyzPXCXGawEUI4GEJYDSGshRAup+fVMQFJXhWjXAtT9VmSqmbAozLM+8I8c7ARQjiUEq+3gDeAC8TRnwvp660QwoU9psCqGOXKNffcLvgzbe4pSaMY8KgM874wzxps/CQx2XgNWIqB0HnglfR8jLidNeBGSo4eVsUol809JakkBjwqw7wvzLMGG3+B2ZOdSx/lsrmnJJXHgEcza8CFedZg42MlJDtXNcp1OX5vi9jC4ueJs2zngBeArwDfIwZkJ0gtLm4BVwqehCQtBOvwqBTz7LpdQodzZq0fVGUtohDCp4CvA58c/XMOAv1DO9Pcs60NaCU1kwGPSjOvrtszBhvMECgNFParounohMUUfwv48SzL3inwRhqrCw1oJTWPAY9KNa+u2zMEG8TE5IsTvNp54CWAtSzLvpQ7h7Kbjj4O/CXgY/Ao8M+APzXi59XTn6wOXWlAK6l5DHhUibq7bk8ZbPx74GNxNdbzBV/pfeCngX8K8H8TL879aZZqm44upW+dA4ZzptvfOHSeDWidPpO6z4BHrZe7WP0k8AXgY/E7+wYb/wp4vtgIz0Ni/vA6cUZll/40S/q6wqajy2nX4dXx9TYOLTtImEcDWqfPpMVhwKPWKnCxGqUfbBCHgAokO98nXtd7C6mKTbNU23R0OR1yaGif6huHVhEkzKMBrdNn0oLJssyHj9Y9iMMbt4AsPo5lcD6DV9Lzj2Q73+Me8GXgGeBg7mccJF4sM7ieQTbi8SCD5fRzjqb9Phja54O0/Wjv9W4BhyZ4Lxd2fv63x5xH7/Ht3OtcHPH9n+udw4vz+dyP5T/3W8CjBX/uajzm+IjPd9zjg/zrPTPh+zi08z6q+Xv14cNHsx5zPwEfPiZ9lHmx2j/YWMv2/n7+kQ9GOF/wvRQIuoYfX02vcSSD/zD0vS/3Xv9ykz/3ET97Le5/vuBn0HtMF+BNH2QW+3v14cNH8x4WHlQbldkZPVfY7wRxmqRXODBXT7G8DujDZugDNqpIdaWNQ6vsSF9bA9qKOttLajgDHrVK2RerLOaYpASdLWJOyGPEROafJqajlNoBfdiMfcDyBZqraxxaQ5BQZwPaKjrbS2o4Ax61TekXqywmop4kTnOknmAvkZaeU3IH9GEzjmzkr/OVNg6tOkioswHtrM1mvxhCWHWkR2oXAx61zawXq5FBSJZlD7O4tPkoMYF2jVhnh4qnWWYc2ei9ROWNQyv53HPqbEA76/TZTwBvAFshhAsjGslKaiADHrVNpbkeWZa9n2XZ1SxWUN6IWyudZplxZOPHqKlxaOWfO/U1oJ0xyPxx0sjVEjEwvpGWuEtqMAMetU2puR4hhINpemIthHA5hHAxhHAphHAR+NG4V6XTLDOMbHwE+Fli3tEW7FRurqJAXh05NnskkPdsU0KAN2OQ+bPEuk3XySVmbzjSIzWbhQfVKiV0Rl/Nsuzq5EULqyuGN1sfMHqvVXp/sqFzLOVzL/A6lTegna3I4RHgN4nVBKALLT2khTHvdfE+fEzyYKa6NXwrHT9UPO9oBp/Idr7OF9P73IR1eD41cb0WdtW3+eqY+jZfzdeDuQf8HYaKKTb5c5/w8zi/83q7Ht9K35+6CCAT1+Hp/b2OKvY43fv04cNHvY+5n4APH5M+pr9YxYvkYHDxlWzvSsrDlZYLBSO/NunFeHcQdiyLRfW+nJ4HKhj/GvBDbfrcp3y9gymge5E43fViWQHedEHmZ9O/h+H3On3FZx8+fNT3cEpLrTNlZ/RbwBPEaazc9NH/ArzA3tNJo3pplTvNkntfEzUdrdMsn/s8znc/k02ffTbt+kNjftp5YikD1rKY8C6pYQx41ErT5HoAv8NA7sYTxAv3XfbP5XhIzI29Anxn1A6lBSNFm47OQx05NnXaP8g8QkzzOstgo9ZhrwBfhPj3f67s85Q0OwMetdakIyI7ibfHgW8C/xL4KXa+LpKI+z3gU8C3Aa4C36AhwUhPCphWiEHJYeIKq01go4xzbPpI1DRyQeYXgZ+IS89/Nm0qUl/QER6p6awUqtZKF9NLIYSXKTYiMlQ8rzdFNUkxvQ8Df5l0cftGky5uBVaefTeE8C+Bv5pl2XenfZ0pPvfGS+d7NYQQgJ+Afw/8GYqvRqumpYek8hjwqPV6F6v02MtQ8bxUWqaGhpVVGz3V9Cw7U02vAbc/AnwBOB1C+HvAxVlGYCb43NukVxdpKdZFKrJkvdKWHpJKYuFBLZKh4nkp/qmnYWVl0shOCnaOEvOR3gYuAs+n54FCeR8G/hbwq1YIHpTVW/FZUo3M4dHC2F08r5fDU20xvapNXriwXygP4hTMybbk2tRhcDXap4C/CLxPTFw/HDfzp9MuzV+NJiky4NHC2F1hd5JVWj2TV1Ku0mxVgz8EfABWCN4lhPAp4OvAJ0fvcZAYBAEtWI0mySktLZDd0xXfYWc6orXTFyvAUlxp9mTBQ54ijmp90NtwJgVOop8P9Tr9YOcYcRXWK+n5GLlg57eAZw12pOYz4NGiGWpQ+aPEKYre15U1rKzK0MqzIg6k/SElYB8hrrZaeFPkQ30SeN3GoVLzGfBooaQci1Q2eQtYBf4/4BPEr08Rc3Tyd/SPUVNH8mkMrTwrqrf/H+ltWC7ndFrvHP1g5yZxinD41+SBtP0muW7pZ2s8R0lTcBhbCyfLsvshhJP0i+dtDdWsuU2qs5NXdiXlsgoDDq08K6q3//f3NjRmif28pL+XNGe5zt7J36Tvv0rK6ToTQni5IdOckkYw4NFC2qN43gMgEBtBHqbEYnoFCgPeDSGsA5cnCKpSobvXiL01Jy2U9wO9jY1YYj9nM+RD3e5NC8591Z6k0Qx4tNDqKp5XsDDgErAGrIYQVrIsu1/gR89QKO8I8Ou9jVYI3pUP9T7x490kxsG9Jekr7Pzq7OVDvdQ73oBHaigDHqliuxNh14kjCPnRmBeJAcsZYGsZ2Agh7FsfJ8uy99Oo0Fo8tkgdnt5Ksz8J/DOwQnBPyoc6RExOXieWLBi2RPwMz6V9m1d5W9JuBjxS9YYSYUcFJPlE2BOkoOcsUKQ+zmVgNR5zgphX8hSDAdU2cWTnOeJKs88Av9L7ZuEl9lU3Jp2zlA/19/kcBRYAABhwSURBVEnNYRkzEge8AHyFGMc2q/K2pNEsPChVaLbCgMWLG6Yps18GfixuOUacauldqF8nVYcm5qj8PvAtKFghOI1S/U3gZ4CPjtjlLnFIZJL8o0YJITwL/G/xq3EjcdvkRuKIcd/vAL8BDam8LWk0Ax6pQjvtLI4D36TK9hUpKDlPDEw+vHuPjwB/iLgMHyhYIXjCqsOb6WcWyT9qlBDC3wZ+fsoWHY2ovC1pPKe0pGpNWBiwlyj7KCng+WIIIVBgyiiNrPxcCOEXgf8JeIYY5STf7f2h8BL7FOz8G+D74pZxUzwQY6zv9fOPgD+gBdNfudGrF+KWiZekA/zDJr0nSbsZ8EjVKlgY8CExFWdXouxPpEfhJetZln0X+O/SdFp+yf1ES+xTIPB14PsKJluTC3reIA5TlbX8vhK7V89NtSQdYvllSQ1mwCPtY8ZE3QKFAe/TL/4MlLVkvYQl938T+OSEyda9bzwVn34E+PMzv5cqDK6e+wHgd5muRcdLAH+MneJGkhrIgEcao6RCgfsUBsx1uhgYRdkmXot/hzhI8y5xldX9QkvWZ11NlY7/mfjVVFM8ye8D/xHxIzzEtMvvK5JbPfcU8A+ZvkWHS9KlpjPgkUYosVDgPoUBUy/T/ijKI8QRg3E1YD4EfLAM/Czw8yPOu6xqzivAR6ef4jlNLGo4vIT7UWZYfl+a3W0kfjV9Z9oWHS5Jl5rO5qHSkCk6ZvdGKnZ1zE6jKevxqzPE1T09uW+xTvzveJIYINwlBg/5JqbHgA96B/+PIYRPDJ33o8ANYhC2NPp4ekHajbT/ODN2YX+Mwc9okxhD9WKs3ogQEPtQ1X3zNdRGotc79TXi6FoR+RYdVqqWGi/LMh8+fOQewAUgg6MZfDuDbI/Ht9N+ZMD5MT/vEHEJeNr3qxl8kMEb6bjjGXw3g+VsZ5/raZ/8a32Qtvdf7zZwaPRrFDr+Vu/4Eed8Oe7zyj7vf/jx5fSzz475jC4Onc+x3rk8U/Pf8Vp83fPpXP5DBkvpXK4XfK9f7Z37t4CD8/5368OHj70fjvBIOdN3zAbGjFRkceooJepsEfNcHgP+btrjNPBLDE5tfZ7dIyv5BOGjEDOCz6ZvDlVzLnT8cu74YTN2Yc+ntOQ/o3V2avbkR4T6Qyx1GVo9l/tr3zUSN0q+RUfxStWS5seARxo0Q8dseh2zd8lifs9J4ujR3Tg486/Td7+fwamtiYOsP0zJQRoDydbTTPEMxy+9z2i4bVc/6fc/KfgiZRkR0KWYkS1iftF1dr/37bT9BLFFB7eAK1WeqKRyGPBIg2bMXRk/UpFl2cMsyy4Rh1dWgX8Vv/NrxJydqYOsFyg/SOslWxOTrYvId2Ef/pH5zyif7tIPOP7cPjlFZRsR0OVStwZG4vJ5UI+l7VuwU6m6la00pEVjwCMNKlgocFjx5clZlr2fxXYRr8Qt/0f6ztRB1k/OePyuIC3bM9l6lPwUzxlGLwDtfUa9BU0DSb8/zJjE74qMCeh6ed8Xifndt4mr5r6Ynm9DzBz/ErEH2Z5tOSQ1hwGPNGjG3JWJlieni27v2KmDrKqCtLRmfpIpns8yPi1oOL+nNyL0w8CnYO+colLtHdD1WpJtEZfTvwD8NHHqEYBfyLJszZEdqV0MeKRBM+au8J+HEFaLLLMevOjCDEFWJUHa+GTrcVM8nyXGcKMGaYbze/IjQn+V3MdQ5xL1fQK6g8CfAX6cGJz9HsRprL9X0/lJKpHd0qWcdLHdApbiBXC4UOAo19ldYZi7xKv4ngX+0hTOrwM/EnNq3maKjuqXgPMzHL9nR/Z0jr1hnBGOEIOXs4wOdmDnMzpC/Fj+GjtB0q8A/3Hh8ymiaKXp0QUmT7NTYPJ1dpqjFusuL6mh5r0u3oePpj2YuA7Pp1I9lj+d6rr0a8v0at08us/rfYLYWXzaGjB/mLj8qbIaMvTr1pzO4IUMHk/HP5rBnQk+o/8099l8NoP7uf1+rve9F2f4uzuU/v7u5P4O8o876fuHho45v8cx30rfH1mzyIcPH+14zP0EfPho2oOxhQKz3OODtP1o7uL9IPe9YgX+cq/5C9MFWbHY4fRB2uhiiSPObzXufyy9vwfZYKHEIp9R73EkiwUIHwzt3ytayOUp/94e3fl7653r+SwWT9w/ECXOYT1DbPh1OT0/UyQg9OHDR/MfTmlJI0w21dHLXfmhoZ9yj1wH8QtZXJI+7vUOEZcHpeKBrxKXjuenp7aJuSTPkVsW/USWZQ9nPX6fj2PMVN+oLu/jPqOPAV8APkdcsj4qTec8qfP4WpZlX9rvnIbOb+j995qwDr//fuNS0omfLPL+JbWfAY80RrqIniVGCCMacU6Su8Id4NPZHhV5Z80nqTofJYRwAVjbqeb8cWJvrCvEAGtUs9MinxFMklNU/NzGKR6ISuoOAx5pD2lk488C/w3wGeB4DCD+EXEFz34Liia7kO8fZHGHOHxxZdTIxKzHFzi3G4wcRXqfWEH5FvD/Am+ko34Z+K8K/PR+YPh7wEf3CgxHnNcsieb7BqKSusGARxohXdzPEYcnhgKH88TCdEVNPlWTLuJPE0drHiEuHd8ErhW5OM96/B4/d5JRJIqPuDxOatUwTcCzCrwRK01/k7JXqUnqhrrqXUitMfqi/iyxE8SvUmUV5p50wb+aHhOb9fg9fu79EMJJ+qNIt5dSMJf3HeCjcfHYFnH6aL+coneI+//B9xMDtUnOe4Z2IC/1jjfgkTrOgEfKSSM7KdgZTn59gRjw1FKFubHSVNilEMLLjB5F+hPAefgrwNfTplPsn/h9gtg1fuIApPJ2IJLaz4BHGpRaZo+aium1nHqNuGK56NRJvwrz5h47ts64UaQQwhPxT0eIKT+9pOZeX6q8fFJzv4P7pAFIne1AJLWUAY+UpLyX1O9gnd15JyvsNJR8i2LJsb1+UdwhZvUuglwA0qvp9z8Q3/4mMb54hBhA5peoTx2A5NqBGIhKGs2kZSkplvx6kTi1NXEy7sIsf975HKtpdTHi9VylJWlfNg+VdhRIfk0zXhN1EOcWcV5nUaQu8L2RsCKmHwnL9ux8Pkq+cSnrBjvSYjDgkXYUSH7N5TQX6iDeL/C3MNV85xSA7NP5HAxEpcXmlJaUhBDWgAvF6uzsV2F4+gJ/XVB1q4sxr2nnc0ljGfBIyXS5J98DPgV8G+JqpW9QQoG/LphHAFJlpWlJ7WbAIyUmv5ZvXgFIVZWmJbWXAY+UM3kTysVbhTUNAxBJ82bAI+XMI/dEklQ9Ax5piMmvktQ9BjzSCCa/SlK3GPBIezD3RJK6wYBHkiR1npWWJUlS59ktXZLUSmnKeYU45XwYeECcct5wylnDnNKSJLVKWlRwjtiEbdSigrvERQWXXVSgHgMeSVJrDJeNOAY8y07RiNfIFY2Ioz0rWZbdr/s81TwGPJLUIV2e5skXBj1KHMJ5kt1lQd8iDv1sxU2bwElHemTAI0kdsAjTPL3WL0Ubv5ygH/TY+kUGPJLUdoswzZNv7jtxa1+b+woDHklqtUWZ5gkhrAJvHAe+SbGaKtvAY/SDvdUsy65WdX5qPuvwSFK7nSMFOzeJIx/Dv9gPpO03iS1xiSNBZ2s7w3IsQ+xqV/TCdSDtnz9ei8uAR5JaKk3znIE4srNXTgvp+6/ufHkmHd8WhyFO000it/8jJZ6LWsiAR5LaawVYOk6cxiriKWKOD3CE2CeuLR5AzEmaRG7/90o8F7VQZwKeEMLBEMJqCGEthHA5Pa+27A5GkiaxSNM8mxATsLcLHrANvD50vBZX64OBIksxQwitXoopSWMs0jTPBnD3Niy9RbFVWm/ST1i+A1yr7MzUCq0e4UlLMW8Aa8DSMeA88Ep6TsO2S+n7N9L+ktQVCzPNk5aUr0O8u723z/730n7JukvS1dpl6YuyFFOSxukt1T4GvE33l2oP/95/lZiTNPx7/03gOfq/928BT/h7X7UHPGWVPbfipqRFt4jF+EYVWTzNTpHF1xkosniLWGTx3brPU81TW8AzadnzvQKjtP9C/SeXpFEmvfl7HHgnftnam790PTlLHMgZdT25Q7yeXHFkRz21BDwTlj3/v4jxyV9gfGD0NeALVtyUtOgWeZon3Rg/Tby2PELMSdoErnlTq2GVBzxT5toA+wZGnAcuTnAu54GX4h/Xsiz70gSHSlJjOc0j7a+OZekDZc9HDbfmy573cm3+EvCPGAyMXiQGRv818F0WZimmJO0py7L7IYSTpGme27D00u7dnObRQqs04Jm27PkpYmCzzWDA0wuM/nvgCouxFFOSikhBzKUQwss4zSPtUumU1qzdbb8CPDNin68AP0Uctl2EpZiSJGk2VRce/CxMX/Z8XB3wFWI2823iSFARVtyUJGlxVTKllVuC/jdg+lybcfNOvXmyF9JzkaWYba64WVbtIkmSFlXpAc/wagGYPtdmr8zic8S8oC1iovN+SzHfiZtuEdN/RmpaYGGfMEmSylFqDs/wEvS/CPw80+fajMvh6TkL/FLu62mXYk5aFLHA25jZhLWLNonv7X4d5yZJUtuUHfAMVPz8KHCUGC1MWhH5CPCbjB+CGkpC/ufASaaouNnEwMI+YZIklau0gGdcT5eLxFybScueXyQWChxnuFVE2jzRUsymBhb2CZMkqVxlBjwjl6A/JA69bBKDniJlzz8DfB04NOa1yuoH08TAYhGbAUqSVLUyl6Uvw+4l6IfYmS/aIl6YHyOO3rySnh9L23ttJX4b+NfEQChvm3hxP0GxJOS9TFsUMTmTjq/CCrB0nDjaVMRTxKk44kzg05WclSRJLVbmRfswjF6C/ihx3ugKMWi4Tb+nVd57wD8ATn0LfuwUhZOQp51amjqwuL0TWFRRvHBk4LiXXu2il3aOt6iiJEk5ZY7wPIDxS9APEUdztoirr14grrL6L3d2+aUsy34O+EngAnC3Fxh9MT3nCgdeIHb6naX53dSBRf74CowNHPdinzBJksYrc4RnE+KqphcZH0QcJC41f4adlVbJLai1H0xTA4s9A8dx7BMmSdJ4ZQY8G8RRmaW3KJZsu1e7hxTUXKW66ZmmBhaFAse8beJ0X/74eWpaAUdJkkqb0koXsnWImcD39tm/Ae0e+oHFcHL0ODUFFr3AsXV9wkIIh9LKty3gDeLU49n0/AawFUK4kMoBSJJUm0orLRdZgk6cynqi7oJ5TV7+Pely+TKW6M+qiQUcJUnqKTXggdEXvmnaPdShiYFFCsT+HHFR2yeaHjhCcws4SpLUU3rAA/0L4Fni9Xjidg91adKI1H79vLoUOFoZWpJUd75nJQFP/4fHN1PlSquZNWFEatx00CHgq8QijGM+rLkHjk2eGpRUPhclaFbzathdacDTFvMckSoyHfQ94BeBy8Dvxk3/Lp3v/z7vXzDjWorsZajx62qWZRZKlBquwEWqF/j8z8C/mPfvJjXTPPM9DXhy5jEi1fbpoBDCGnDhPLHha1Hn6VeGXsuy7Evln5mksgxfpP4IMeL5deD3Rh/y74iBT6l36Gq3eed7VtUPqpVqqP0zYNp+Xmk66EwI4eUG3EU1tYCjpBKki9QG6SL1i8DfBb6Wvj/mDv2HgTVgNYRQ3h2602ltd47072jcDf4BYmrETfo3+MvEGY2Zb/ANeOarqf28JtHUAo6SytG/SL0J/HlihDHuDv1FBu7Ql4GNEMJMd+hFcj5CCKXnfKg8TbjBL7OXlibX1H5ek2hqAUdJMxq+SP2v7AQ7N4l34sO/u/J36Efjpt4d+rTn0Os/vQYsHSNOib+Sno/F3ZbS92+k/dU8U9/gs3ODPxMDnvnqwnRQaytDS9pX/yL1OVIpfSa7Q0/OpOBpIsPTadeBt4n5gs+n57fT9lxwtWE190aa+w2+Ac98tX46qIUtRSQV179I/TJxrXDNd+gDOR91jCipMnO/wTfgma+uTAddBja3iElm19n9frbT9hP0q1XfIlaTltRc/YtU75dNXXfo0+Z8JFONKKlSc7/B9x/EPipeFVBqh/l5ybLsYQhhBdjYguVTFC7gaHKh1Gz9i1TvP2uNd+hdWNShHf0b/BcpXrOtzBt8R3jGqKPzd5emg9Ky05PEz+fubWKdnS+m51yQdoHYmmMubTAkTaR/ker9oqvxDn3uOR8q1dzzPQ14Rqh5VUBnpoOyLHuYiiEeBVaJn8+V9LxKbCNxyZEdqTX6F6k/lDbUOAU/95wPlacJN/hOaQ0ZXhVQdZ2JLk4H1V3AUVI1six7P9W3WfunxGqCvTv0Gqbg557zodJdBla3YPkE+zfsfiduKu0G39YSQ+bV6qEtHeYlLZZ8O4AfIPbzK/r78XH6F62Jfz/2+vQdIy49t09fN8yzYbcBT04TOn+3ocO8pO4as1DjNvAz5PJijrL/HXq6GbxFzNub6EatCb+PVY153eAb8OTY+VvSoirQvuG3iL8a/wvgE72NVd6hTzriPsuIkupX9w2+AU+Onb8lLaJR0wwjGoL2bBLvvv9b4LOk5OIhpdyhD3fXrnJEqcC52Li05UxaHuSqAEkLZcqFGhDLUPwBFd6hN2FRh41Lu8OAZ5CrAiQtmoH2DaOmjfLtG9JCjWXgbJo2qnRFZpZl90MIJ0k5H7dh6aXdu1WT81Fs5KtXomQ1hLCSapKpgZzSynFVgKRF0rbE4DpzPoan00aNfG0zMPJFOpepSpSoegY8OW37zy9Js3ChxnjzKlGi6lhpOacJlSAlqUa2bxjBxqXdZMCzW2daPUjSPlyoMdrUjUvZaVyqhjHgGZLmXldIQc8p4vBtvpfWY2l7bglko1s9SNIYLtQYzZGvDnLYbYR5rgqQpBr1u6G/SPEcnhkagraFI18dZMAzRgpiLoUQXsZWD5K6qdcNfammhqBt4chXB7lKS5IWmO0bdrNESTd1JuCx7LckTa5J7RuawhIl3dT6gKdI2W9iro1lvyVphFEVhatqCNoWjnx1T6sDnika3ln2W5JGSDePZ4kDOaNuHhdqoYYjX93T2oDHst+SVL462zc0nSNf3dLmgMey35KkSjny1R2tDHhMKJMk1cmRr/Zra8BjwztJklRYW1tLWPZbkiQV1taAx7LfkiSpsLYGPJb9liRJhbU14Ok3vNsueMCCNLyTJEkjtDXg6TW8462CByxIwztJkjRCKwOetARwHWJRwXv77H8v7Zesu4RQkqTF0sqAJ7kMbG4RiwpeZ/f01nbafoJ+j5NbwJW6TlCSJDVDK+vw9Fj2W5IkFdHqgAcs+y1JkvbX+oCnx7LfkiRpnM4EPJIkSeO0OWlZkiSpEAMeSZLUeQY8kiSp8wx4JElS5xnwSJKkzjPgkSRJnWfAI0mSOs+AR5IkdZ4BjyRJ6jwDHkmS1HkGPJIkqfMMeCRJUucZ8EiSpM47OO8TkCSpq0IIB4EVYBk4DDwANoGNLMven+e5LZqQZdm8z0GSpE4JIRwCzgFngKURu9wF1oHLWZY9rPPcFpUBjyRJJQohPApsEEd1OAY8C/wg8NvAa8Dtnd03gZUsy+7XfZ6LxoBHkqSSpJGdG8DyUeIQzpMMJsxuA28Rh3624qZN4KQjPdUyaVmSpPKcIwU7N4HPs/tCeyBtvwkcjZuWgbO1neGCcoRHkhaAybPVS5/xFrB0nRjU7Oc6cCr+8Q7waf8uqmPAI0kdZvJsfUIIq8Abx4FvUmwKZRt4jH5Oz2qWZVerOr9F55SWJHVUSp69AawBS8eA88Ar6flY3G0pff9G2l/TWwY4TfGL64G0f/54VcM6PJLUQWlkZ4M9kmdfZCB5dhnYCCGYPDu9wxBXY00it/8jJZ6LhjjCI0ndZPJs/R5AXHo+idz+75V4LhpiwCNJHZOSZ89AHNn5+D77fxx4defLM+l4TW4TYp2d7YIHbAOvDx2vahjwSFL3rABLx4nTWEU8RT+n5wjwdCVn1X0bwN3bxKnCIt6kn7B8B7hWyVkJMOCRpC4yeXYO0pLydYjDa/f22f9e2i9Zd0l6tQx4JKl7TJ6dn8vA5hZwglhnZ3h6azttPwG8EzfdAq7UdYKLynlaSeoek2fnJMuyhyGEFWBjC5ZPEacKT7PTS+t1Bnpp3SL20nJlXMUsPChJHdMrgHcMeBsL4M1DKgtwFniO0QUf7xCnv64Y7NTDgEeSOsYWB82R/i6eJuZFPUIcPdsErvkZ18uAR5I6KIRwAVjr1eHZa2n6PeBx+vkkF7Isu1Tx6Um1M2lZkrrJ5FkpxxEeSeqo1Btrg7TMvGDy7Lt1n6dUBwMeSeowk2elyIBHkhaAybNadAY8kiSp80xaliRJnWfAI0mSOs+AR5IkdZ4BjyRJ6jwDHkmS1HkGPJIkqfMMeCRJUuf9/xrXWniuSTe6AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,7))\n", "plt.axis('off')\n", "myplot(X[0,:],X[1,:],10,'b')\n", "myplot(Y[0,:],Y[1,:],10,'r')\n", "plt.xlim(np.min(Y[0,:])-.1,np.max(Y[0,:])+.1)\n", "plt.ylim(np.min(Y[1,:])-.1,np.max(Y[1,:])+.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the optimal transport." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "P = cp.Variable((n,m))\n", "u = np.ones((m,1))\n", "v = np.ones((n,1))\n", "U = [0 <= P, cp.matmul(P,u)==a, cp.matmul(P.T,v)==b]\n", "objective = cp.Minimize( cp.sum(cp.multiply(P,C)) )\n", "prob = cp.Problem(objective, U)\n", "result = prob.solve()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Show that $P$ is a binary permutation matrix." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "plt.imshow(P.value);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the optimal assignement." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "I,J = np.nonzero(P.value>1e-5)\n", "plt.figure(figsize = (10,7))\n", "plt.axis('off')\n", "for k in range(len(I)):\n", " h = plt.plot(np.hstack((X[0,I[k]],Y[0,J[k]])),np.hstack(([X[1,I[k]], Y[1,J[k]]])),'k', lw = 2)\n", "myplot(X[0,:], X[1,:], 10, 'b')\n", "myplot(Y[0,:], Y[1,:], 10, 'r')\n", "plt.xlim(np.min(Y[0,:])-.1,np.max(Y[0,:])+.1)\n", "plt.ylim(np.min(Y[1,:])-.1,np.max(Y[1,:])+.1)\n", "plt.show()" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.1" } }, "nbformat": 4, "nbformat_minor": 1 }