{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# OpenCL QPower2 model\n", "\n", "The OpenCL qpower2 model, `pytransit.QPower2ModelCL`, nodels a transit over a stellar disk with the stellar limb darkening described using the qpower2 limb darkening model as described by Maxted & Gill (ArXIV:1812.01606). The model is implemented in OpenCL for GPU compuation." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "sys.path.append('..')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [], "source": [ "import pyopencl as cl\n", "from src.models.qpower2_cl import QPower2ModelCL" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "seed(0)\n", "\n", "times_sc = linspace(0.85, 1.15, 1000) # Short cadence time stamps\n", "times_lc = linspace(0.85, 1.15, 100) # Long cadence time stamps\n", "\n", "k, t0, p, a, i, e, w = 0.1, 1., 2.1, 3.2, 0.5*pi, 0.3, 0.4*pi\n", "pvp = tile([k, t0, p, a, i, e, w], (50,1))\n", "pvp[1:,0] += normal(0.0, 0.005, size=pvp.shape[0]-1)\n", "pvp[1:,1] += normal(0.0, 0.02, size=pvp.shape[0]-1)\n", "\n", "ldc = stack([normal(0.3, 0.05, pvp.shape[0]), normal(0.1, 0.02, pvp.shape[0])], 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model initialization\n", "\n", "The only major difference between the Python and OpenCL quadratic models is that the OpenCL context and queue can be given as arguments. If the context and queue are not given, a default context is created inside the model using `pyopencl.create_some_context()`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "ctx = cl.create_some_context()\n", "queue = cl.CommandQueue(ctx)\n", "\n", "tm = QPower2ModelCL(cl_ctx=ctx, cl_queue=queue)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data setup\n", "### Homogeneous time series\n", "\n", "The model needs to be set up by calling `set_data()` before it can be used. At its simplest, `set_data` takes the mid-exposure times of the time series to be modelled." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "tm.set_data(times_sc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model use\n", "\n", "**Evaluation**\n", "The transit model can be evaluated using either a set of scalar parameters, a parameter vector (1D ndarray), or a parameter vector array (2D ndarray). The model flux is returned as a 1D ndarray in the first two cases, and a 2D ndarray in the last (one model per parameter vector).\n", "\n", " - `tm.evaluate_ps(k, ldc, t0, p, a, i, e=0, w=0)` evaluates the model for a set of scalar parameters, where `k` is the radius ratio, `ldc` is the limb darkening coefficient vector, `t0` the zero epoch, `p` the orbital period, `a` the semi-major axis divided by the stellar radius, `i` the inclination in radians, `e` the eccentricity, and `w` the argument of periastron. Eccentricity and argument of periastron are optional, and omitting them defaults to a circular orbit. \n", " - `tm.evaluate_pv(pv, ldc)` evaluates the model for a 1D parameter vector, or 2D array of parameter vectors. In the first case, the parameter vector should be array-like with elements `[k, t0, p, a, i, e, w]`. In the second case, the parameter vectors should be stored in a 2d ndarray with shape `(npv, 7)` as \n", "\n", "\n", " [[k1, t01, p1, a1, i1, e1, w1],\n", " [k2, t02, p2, a2, i2, e2, w2],\n", " ...\n", " [kn, t0n, pn, an, in, en, wn]]\n", " \n", "The reason for the different options is that the model implementations may have optimisations that make the model evaluation for a set of parameter vectors much faster than if computing them separately. This is especially the case for the OpenCL models.\n", "\n", "*Note:* PyTransit uses always a 2D parameter vector array under the hood, and the scalar evaluation method just packs the parameters into an array before model evaluation.\n", "\n", "**Limb darkening**\n", "The quadratic limb darkening coefficients are given either as a 1D or 2D array, depending on whether the model is evaluated for a single set of parameters or an array of parameter vectors. In the first case, the coefficients can be given as `[u, v]`, and in the second, as `[[u1, v1], [u2, v2], ... [un, vn]]`. \n", "\n", "In the case of a heterogeneous time series with multiple passbands (more details below), the coefficients are given for a single parameter set as a 1D array with a length $2n_{pb}$ (`[u1, v1, u2, v2, ... un, vn]`, where the index now marks the passband), and for a parameter vector array as a 2D array with a shape `(npv, 2*npb)`, as\n", "\n", " [[u11, v11, u12, v12, ... u1n, v1n], \n", " [u21, v21, u22, v22, ... u2n, v2n], \n", " ...\n", " [un1, vn1, un2, vn2, ... unn, vnn]]\n", " " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def plot_transits(tm, ldc, fmt='k'):\n", " fig, axs = subplots(1, 3, figsize = (13,3), constrained_layout=True, sharey=True)\n", "\n", " flux = squeeze(tm.evaluate_ps(k, ldc[0], t0, p, a, i, e, w))\n", " axs[0].plot(tm.time, flux, fmt)\n", " axs[0].set_title('Individual parameters')\n", "\n", " flux = squeeze(tm.evaluate_pv(pvp[0], ldc[0]))\n", " axs[1].plot(tm.time, flux, fmt)\n", " axs[1].set_title('Parameter vector')\n", "\n", " flux = tm.evaluate_pv(pvp, ldc)\n", " axs[2].plot(tm.time, flux.T, 'k', alpha=0.2);\n", " axs[2].set_title('Parameter vector array')\n", "\n", " setp(axs[0], ylabel='Normalised flux')\n", " setp(axs, xlabel='Time [days]', xlim=tm.time[[0,-1]])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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EYYh6vY75+XkYYxAEAcIwRBAEaDabCIIAjUYDYRjaNvE4F57D5/V6HUEQIJPJLLqXMAwTPwf+ftzna8mg68DuBDDpvJ6Kti23fSph+7IcOnQIN9xww0U3dr1TKBRw7NgxbNq0adBNURQAwO23345Pf/rTg27G0HCpjFW33norvvjFLw66GYoCAJibm8Mtt9yCmZmZQTdlKGi1Wjh27Nigm7HmUDADsMI5lUohk8lYoczjcrlcj6jOZDIoFApIpVIoFovYuXMnisUiNm/ejEwmY8+dmJjA6OjoovfO5/O46aabll04UPrPE088gZMnT+LIkSOYm5vD2bNnE487ffo0HnnkEVSrVbTbbQBAtVrF/Pw8Wq2WFYXNZhOdTseKQIrKIAgGIgqHiUEL2KT4VXMB2xdfWOTN6LoaY8uWLfjABz5woW0cCr7xjW/gjjvuwGc+8xncfvvtg26OomB6ehp/8zd/g+/93u/FW9/61kE3Z0149atffd7nXGpj1bvf/W787d/+LU6dOoXLLrts0M1RFNx9992YmZnB2972Njz/+c8fdHP6zsWOUwAWWUNXG07oaQ11/1JEupahuIDsdDoIwxDpdBqpVMoKAlpPM5mMtVp5nmdFI0VpKpXC7OwsjDFIp9PIZDIYHR3Fjh07UKvVUKlU0G63MTY2hp07d2Lbtm3I5XJot9s4fvw4tm/fju3bt6Ner2NmZgaFQgHZbBae56FarWLPnj0YHR3Fli1bsGXLFgDAsWPHUCgUsG/fvp7PYnZ2Fo8//jhOnDiBXbt2WSuzsrYEQYDp6WmICHbt2oVms4k9e/Zgz549PceFYYh7770XAOwixejoKA4dOoSpqSnkcjkUi0V4nofHH3/cegsA3XlTtVpFtVq1CyO1Ws322+npadTrdWvJb7fbEBEEQYBOp4NOp4MgCGwfZrtpkRUR+7vhX2MMwjC0gtntX9zn/t5dYc3zkqzQq0GS9ZcMWsBOAdjtvN4F4ES0/YWx7V+Otu9KOH4RxpgPAvggANx0003mVa961Wq1eV3yyle+Eh/+8Idx1113qYBV1gWf//znEQQB3vOe91wSk8IL5VIbq6644grceOONuPvuu/GmN71p0M1RFNx1113YvHkzfvu3f1vFwRLEx6kHHnigr+83Pz+PRx99FNu3b8dTTz2F8fFxTE9PY//+/dbt9rHHHsOxY8fQaDSwbds2bN26FadPn8YNN9yARx99FJ/61Kewe/du3HLLLTh16hS++c1volgs4rLLLsONN96Ier2Oz33uc3j44Ydx++23WxfNYrGIAwcO4FOf+hTuvfdejI6Oot1uY8eOHXj5y1+OSqWCBx54AI899hhyuRz27t2LgwcP4vLLL0cYhrjrrruQz+dx2223odFo4OGHH0a1WsXExASazSYOHz6MfD6P/fv3IwxDXHPNNQC6C5gnTpzAjh07rEsy0LV4z87OYm5uDnNzcxgfH0/8zJT+wgWNbDaLUqmEZrOJ7du3Y8eOHYuO++Y3v4nnPOc5uP7667F//350Oh2k02lcc801uO6667B//35MTk7innvuwZVXXomtW7ciCAIcPXoUZ8+eRbPZxAte8AJkMhk88sgjuO2223Dy5El85jOfwdmzZ/GCF7wAY2NjaLfbKBQKOHv2LE6cOIEzZ84gm83iDW94A/bs2YNWq4WHHnoIs7OzuOKKKzAxMYHDhw/D8zzMzs6iXC4jm83i2LFjmJ6exotf/OKe8J7vfOc7AIBnP/vZdtuDDz6IkZERXHHFFXj88ccxPz+P66+/vi+f+XKieNBldD4N4I1RNuLnA5g1xjwF4PMAflhExqPkTT8M4PPRvnkReX6UffiNAD41sNavI0QEt956K+655x51O1DWBffccw9KpRJuvvnmQTdFWUc897nPxebNm3HPPfcMuimKAgC499578aIXvUjF6zqiVCrB9320222k02nrWjk/P2+PKZfLNv60UqkgnU7DGINKpYLt27cjn89jZmYG8/Pz2LZtG1KpFMIwRKPRwPz8PMrlMnbs2AHP8/DEE0/Y2Nh6vY52u419+/ZZV2ARwdzcHE6dOoVyuYxSqWRFTLPZtOLG8zxs27YNMzMzqNVqyOVyyGazEBF7L+VyGfPz80in06jVami1WgBgrcCVSqXns8hkMhgfH7ftVgYDv5cwDO1YkZTfY35+HjMzM7Z/8vuem5tDqVRCOp1GLpez1txisWiv7/s+KpUKRkZGkMlkUK1WrWA+efIkms0m0uk0JiYmUK/Xkclk0Gw20W63EQQB2u02tm7diomJCduWRqOBXC6HkZERzM3NWSus53nIZDJotVqo1+soFosYGRmx9xEEAarVas+2er2OTqdjt1UqlZ5477Wk32V0PgrgnwDsF5EpEfkZEfl5Efn56JC7ARwFcBjAHwP4twAQJW/6LQBfjx7vZEInAG8B8L+jc47gHAmcLiUOHjyIp59+Gk8++eSgm6IouP/++3HzzTfrpFDpQURwyy234Gtf+9qgm6IoOHXqFJ588kkcPHhw0E1RHDixr1arKJfLqNfryOfzPYltisWiFZiNRsMu3vOciYkJNBoN1Go1FItFFAoFtFotm4SnWCxi27ZtSKfTmJycRC6XsxafSqWCyy+/3ManUiCcPXsWxWIR4+Pj8H3fJsCp1Wqo1+sAgMsuu8yKWqArxumKmU6nUSwWbQIgvhfQjXOli3GckZERGGMS9ylrQ6VS6XGldcWny+nTpxGGIQqFgo17np6ehjEG+XweuVwOrVYL09PTyGQy9nuv1Wo2udL4+DgymQxmZmYwPj6OVquFmZkZ1Ot1TExMoFQqodFoIJvNot1uo91uW7f5rVu32nZVq1U0m00rgqvVKnzft/0xlUqh3W6j1WpZ0UxqtRoA9AhULqCUy2W0Wi20Wq2NKWCNMT9hjNlujEkbY3YZY/7EGPNHxpg/ivYbY8y/M8bsM8ZcZ4x5wDn3Q8aYq6LHnzrbHzDGPCc65xeMmhst/AesE0Nl0DQaDTz44IO45ZZbBt0UZR1y8OBBPPLII3aCpyiD4v777wcAHavWIcViEY1GA/l83lov4wKWsYGchOdyOdRqNXieZ4VktVqFiGBkZMQmzKnVahARZLNZjI6O4syZMz3vXavVUCqVUC6X0Wg0kE6n0el08Mwzz6BQKFghAsAKWE74x8bGkEql7DWLxSLS6bRN5pPP5xGGoRVEvCcRQaFQSBSppVIJmUzGCiFlbaHlngKWYjQeC26MwdNPP41UKmUzR7fbbZw9exa+7yObzdrveHZ2FqVSyWa/bjQaaLfbMMagXC7D933U63Vs2rQJtVoN09PTCILAeifQzZyW13q9jnQ6jS1btvQsxLhx3/V6HSJiRS0Xf8IwXFQZgP3QzX5dq9VsTDj3b0gBq6wt1113HXK5HO67775BN0W5xHnwwQfRbrfVqqEkcvDgQRhj8PWvf33QTVEuce6//374vo/nPe95g26KEqNQKPSINRGxpUaAbsKlfD4PAFaUugJw27ZtALpZpmlhYqbXRqOBer2OQqGATZs2YX5+3gpMEbFi9LLLLkOr1UImk0G73UalUrHWYLfkTaVSsecUi0Xk83k888wz9jXPBxayEs/OzqJQKNjzeGytVlskUguFAnK5HOr1urX0KmuHa+HnYgT7ngstpel02lpgq9Uq5ubmerbVarVF16A7eiaTQS6Xs8J0fHzcXoMJx+g+TKsr/2azWes+TO8AEUE+n7dC1RiDdruNTCYDYwyazSaMMYsqmNRqtZ5SVNxGQctrcyFnrVEBu4FIp9O47rrr8NBDDw26Kcolzre+9S0AuCRKwijnz4033ggAOlYpA+ehhx7C/v37tcbmOoRukBQOFIuu4Mvn8xARpFIpzM/PW2ttu93GxMSEtdrWajVs2rTJ1tuka3E+n8fY2BiMMbaMEt05gQURzPhYWsLy+Tyy2awVpu122wrnVCqFcrmM2dlZBEFg28h7oaDgdVzBWigUEIYhms1mz2dByx3brawt7meeSqXQ6XQSxwzWaM1kMrZ0Uq1Ww+zsLLLZLPL5PPL5vF0woYCt1+s243A2m0U2m7U1ZsfGxjA9PW0XbsbHx+0iBl2BKUJzuZxN8sVj4pZ9xmp7nocgCNBqtZBOpxdZUl2xCixYoV0BSyvuIFABu8G49tpr8fDDDw+6GcolzqFDh1AoFLRmnZLI1q1bsXnzZhw6dGjQTVEucQ4dOoQDBw4MuhlKAiyBQ9dgltRwLZAUh+l0Gs1m0wrFer2OkZERGzdbq9UwOjpqhWKz2bTuyePj4xARnDx50k7GaendunUr0uk0RMTGoFJ4MkFTvV63iXB4/fHxcTSbzUVWKrpuZrNZtFqtHgECoMct2UVEbCwkY2eVtYPfYxAEto8tJWArlYqNfaXlk987re+VSsW6IfM8uvMWi0WkUinU63XkcjmkUinMzMyg0+kglUrZ+FeWbWJ/YOwsF37YL9kOvgdLVGWzWTSbTfv7ci2p7JOuhZj92xWwSVbotUIF7AbjwIEDOHnypHVdUZRBcOjQITz72c8e2Mqcsv45cOCALrYpA6XRaODIkSMqYNcxuVzOTtbpyusKODfLLy1UAKw45WSf16BwpBDM5XKYmJiA7/s4deqUrccJdCfozF7M2NkgCDA7O4tcLodyuWwFQa1WQ6fTsUJ0dHTUilqgK7Tdmpp8H7aZx1FEJIlUWmdVwK49rvijgE0Sb7OzswjD0ApCz/MwPz9va70ylnp+ft7GyXqeh3q9jiAIbIwrvQDceOlGo2HL3rRaLZvAyRhja8COjY3ZdjGmlomiGMMbhqHth3RTpkcBYR9zRa3bl5ME7lqjs8sNxrXXXgsAatlQBopaNZRzce211+LQoUOakEQZGI8++ijCMNSxah1DAZvP59FsNu1rks/nbTKbRqOBIAhsQpxUKoXx8XGb4ElEUCqVrFCoVqvI5XLW1XNmZqan7mSj0cD4+Diy2SyCILCT/7m5OeTzeRQKBfvejF9k21hmhInqKFTCMISIIJPJ2BhFvhcAK26T4lxpjdNSOmuP2+fosp5UYWFubs5aN3O5HIwxmJubA4AeITk/P28tsqlUyi58dDodlMtlmyRpZGTEuiW3222bEMztp1yQ8TzPZscGFnsq0CWZllyeC6CnVI57v66ApQB2F5FUwCqrBv8Rq4BVBsXc3BympqZ0Uqgsy4EDBzA7O4sTJ04MuinKJQr/T15zzTUDbomyFLlczk64af1yxUQmk7HxfMCC5ZWT902bNlkLFmMEmcim1WohCAKkUimMjo5idnbWuonSnZNJc1qtls12zBhH3/dRKBSsKHATLNGiRfGSz+dtzU0A1mrMOp+u2IiLdHc7r0l3aqX/0EpJ2I/iGGNstuF0Om3jWFmjmPVf6RFQKpXsggZruTI+mh4Fo6Oj9hqe51lRzJrH9AzodDq2VA6h2zNL47Dv0ZMBgI2dZdwsWUrAst9yv2u1XWtUwG4w9uzZg2KxqK55ysD4zne+AwAqYJVlUW8RZdA88sgj8DwPV1999aCboiyBm2UY6Fq/3JhRlsKhRYpuwZxgT0xMWKHYarVs5mAmr+HxIyMjNjMsACtgga4IZqIbY4zNROy6L7OuqzvxZ6ZhvmbdWBGxwmJubi7RquxmvSWuC3Q8yZPSP+J9jZ4AcVqtls02TBdiWlt937dx0/V63ZaFYn9mIrBMJoNUKmXrwdICyyRS5XIZtVoNvu+j0+kgCAKbgZgLMUCv6I73Ly7aUPjyfVxcsepuc2O5ARWwyirieR6uueYanRQqA0OtGspKUG8RZdAcOnQIV1555cDKQCjnht9NXMy5E3JOtEXECkvGBI6OjtqEOI1Gw75m8htabMvlMowxVnC6VqbNmzdbt1G+x8zMjHVfZjkTN+bV932USiVUKhUb/0gxwERAmUwG8/PzVmDwHmlli4tUlmHRRE5rCz9rY4wVjkljRrPZtHVS6UJM8ZnJZGzyLgpYir9ms2njYJnZmu6+zGZNMToyMmLdhYFuX2o2m7aETrlcBtDrPuxa+HkPFM6dTgfpdHqRK3A8QRMXjVwBm06nB5rnRAXsBuTqq6/GY489NuhmKJcohw8fhu/7uPLKKwfdFJ5PfAwAACAASURBVGUds3XrVoyMjOhYpQyMw4cPY//+/YNuhrIMdBF261YCiwUs/9Ltl8cUi0U7gWcSHBGB53lWCGazWYyMjMD3fZw9e9ZelyJ4y5YtSKfTCILAJmxiWZRMJoN0Oo1Go2HL87CNFBsUI27iJooZZk52BetyiZxGRkZ6LL1K/+FnzcRHAJa0wNIlnAmaGBudTqd7MhDHXXsZt81zeU4qlbIu4yKCYrFoBSwtt0BXmBaLRZuBuNlsWtd7tyQP+ybd2ZkdmW3hteJW5njfXMoKvZaogN2A7Nu3D5OTkz0Z+RRlrThy5Aj27t3bU/xaUeKICPbt24cjR44MuinKJYgxBkeOHNGFtiHAddvkpDwuYGkdZVZWYMHlkfVT6/U6isWideVl1uBsNouxsTGICM6cObNIKG/atMm6XAJAu91GpVKxMYe+79tJfxiGdu5VLpd7rKW0rDLRFN+Hx8fjCpPchAuFgnVXVtYGLoq4XgBJ4q1ardr+lEqlrOWfiy/xhQp+z7SOBkHQI0Cz2awt3cRMwczGzd8EBSwzELsCk9ZVCmnf9xEEQU8G4k6nY63DhL+h5bISs32DRAXsBmTfvn0IwxBPPPHEoJuiXIIcPXpUJ4XKilABqwyKs2fPYn5+XseqIYCTdVqS+Nrdz2zArK3KxDiZTAalUgmdTscmyaEbLq1j2WwWhUIB2WwWZ8+eRSqV6rHibtq0yYpeoLv4wSyyxWKxR5i0223btpGREQRBYOMXKUiI22ZgQbAyw22SgGU2Y15T6T9ufWH2LddiSZgdmtZ1ADZ5WCaTsUKyWq1ayyhFLrAgYH3fty68nU4HtVoNzWYThUIBmUzGxs8ygVO73UYYhtbbgG0GeuN2XQus53nodDoAujHXbkblpPhWV8AyvlYFrLLqXHXVVQCgE0NlIKiAVVbKVVddhSeeeML+I1WUteLo0aMAoGPVEOAKWCagcT3MmCCJ2YBp8eKkfXx83Lr3At0JO92B6/W6td4Wi0Xr3kmxSmsXxQQtcbTAUogAsOV6XHfLdDrdI2zS6bQV0tlsFmEYolar9ZRSce856bNwr6n0H1fAUry6yY1IpVIBABsD2+l0bPZgbnPdjNlnXStqoVCA53loNpsol8s2rjYIAltGifHe7MP0SqB7PIAeV3b3t9But613HC2tbuZi3i/PI41Gw7rzr4cEToAK2A3Jvn37AHTjexRlLZmbm8OZM2d0UqisiH379qHdbmNycnLQTVEuMShg+f9SWb/QcumKCFpaAdhsrnxQ7HKiPTExYV0xaQ0DsKiUTrlcRrVa7amVyWuMjY31WL7m5+fheZ4tpQMsJNRxXYEZ8+i+pvimpZdiOO4WvZSAzWQyqNVqWkpnDWCWXva/MAwTra8AMDMz01NCp9lsol6v21hWbmPiMABWVDKuNZfL2W3FYtEKWGDB+knXcy780lWYCZyAXhHKjMYAbDZt9vEkAcuaye59ui7D8XjYQaECdgNy2WWXoVgsqgVWWXN0UqicD+wnOlYpaw373BVXXDHglijnIsnS48aOugmSACwSsCMjI1bYtlot6/bLeFVaWZkgiee51qaRkREbL0gx7CbAoUuma4HlPtcCG3dFTaVSVsDGLbCuSHe304qreU76j/sZc/EhqT8GQdBTq5XfZ61Ws7VduY3XYDZq9hvWFqaALZfLPQm7uMDC7x9YENi+71sBy21A70KIMQZhGNqYbR7rCl8A1vXetTInCdgNbYEVkZeIyHdF5LCIvD1h/14R+ZKIfEtEviwiu5x9vysi344er3W2/5CI/LOI/IuI3CsiV/XzHoYREcGVV16pk0JlzVG3POV8UAGrDIqjR49i27Zt1nqmrF84UY6LOVfwUVgyFpUCIQgClMtlm+W11WqhVCrZUjpuIqdisYgwDG0pHfc9xsfHYYyB53m2xA7jYGlhY1IcnsPan8xQTFHAWERauWq1mhWstKrS6hwXqZ7n2Uy0Wgu2/7jij9b3JOFGscr+QLddltDhNvYFXoNWUIrGdDrdkwSsVquh0+n0ZCCO12ZlP6Il1W0zkz4R9j9mMPZ9f5EllW0hTHjGbeuhhA7QRwErIj6APwDwUgAHAPyEiByIHfYeAHcaY64H8E4A747OfRmA5wG4AcBBAL8sIqyy+34AP2mMuQHARwD8er/uYZi56qqrdFKorDkqYJXzYdeuXchmszpWKWuOxuoPDxR+dOulyIsLWABWADApTbPZtNaver1uYwtZSocJcpjIKZVK9dSCpTVrfHy8J7N+vV63AjaVSlnBQmFJsV0qlew2N36SVji2l6KEYmO5TMTuNZX+wu/DXTxJciGmu3DchZgikS7EtVrNimEAPVm1uRBCgUjrfRiGMMagUCig3W73lNDhok2xWLRuyc1mE0EQwPM82y95D+yDrVbLuh7HBXk8w3C8T9JaPGj6KZ9vAXDYGHPUGNMC8JcAXhE75gCAL0XP/97ZfwDAV4wxHWNMFcCDAF4S7TMAKGZHAZzoU/uHmn379uHo0aMaI6GsKUePHsX4+DjGxsYG3RRlCPA8D1dccYUKWGXNOXr0qIY6DAmcdLulRegSTLLZLDzPW5TgyRWnbikdWqHovslSOkA3ljHuPrl582akUil0Oh34vo9Wq2Vdf/P5vD2e4jVeSsd1u3QT77C+LOdqKymlw6zK6kLcf9zsvfyOkyyw7FvM6MvawEEQWLHKPhuvAcu/LKHDWGvWHGbcazabtUmYXBdyugG7fYaJzCik2Xe5cMNMwnEBSy+CJAHrtnmjC9idANzMHFPRNpcHAbwmev4qAGUR2RRtf6mIFERkM4AfBLA7Ou5nAdwtIlMA3gDgd/rU/qFm3759aDabOH78+KCbolxCaF1F5XzZt2+fJpxT1pRms4nJyUkdq4YIuti6f+MW2HhZGqBXwFL0pVIpW1OW4pJCNJPJ4OzZsz3xqq1Wy5bScWMPKWDphk7XYteNuFwu92RAdoUBY2DZTvcvLbVLJXLSUjprg2sdpxU2ScBWq1WEYWjjnkWkR3wybpVZr+mCy3qtxhi7EML+yAzVrVbLlnmi6GR8NBc/SqVSj4svgB4LrLsgQ0FOkcvfDe83fo/xrMSXgoBdnGO6az11+U8AfkBEvgngBwAcB9AxxnwBwN0A/hHARwH8EwDWWfglAD9ijNkF4E8B/PfENxd5s4g8ICIPnD59+qJvZthgYgqtBausJeqWd/7oWHWFjlPKmvLkk0/CGKNj1Xkw6HHKLaXDCXRcwHJS3el0erIIe56HUqnUY7WioGXm4EwmY4Xt7OysLZcDwNbgZFwtoYClCGBpE7cWLEv8MJET67gyg2wul0MYhtb9NCmRU9JnkU6nbXZjpX/ExR+t/HFY79X3fSs+6/W6dRdmf3XdjNPptHUpDsPQurDTkttqtVCr1dBut21JJjcJE8Ur+y2FKPs8gEQXYgC2/9Hq694vgEUWWBGxMcDLZWJeS/opYKewYDUFgF2IufsaY04YY15tjLkRwK9F22ajv3cYY24wxtyGrhh+TES2AHiuMeZr0SX+L4B/lfTmxpgPGmNuMsbctGXLllW9sWFg7969ALr/qBVlLQiCAE888YS65Z0nOlbtxdzcHGZmZgbdFOUSQbOlnz+DHqcymYwVpUkuxG6CpDAMF2UiHh8fBwBrtWTSJ25jcqZisZhYSocimCV3WAs2nU5b0UJREXcZTqfTqFar9n3dLLIUvqwNGr+n5QSs1oLtP+7nb4xZMvMu+5Vb77XRaCSW1eEihlsOigI2XkKn0WhYy67v+/a8druNMAwRhiFEpCcZHUU3LfwUoLS40voKLC1gXYHKBSP3N7fRBezXATxLRK4QkQyA1wH4tHuAiGwWEbbhVwF8KNruR67EEJHrAVwP4AsApgGMisjV0Tm3AXikj/cwtOzZsweAClhl7ZiamkKn09GyFMp5oYttylpDAatj1fCQJBwYwwosCEFanlxrLQCMjo4C6CZfolun60pJ18xyuYx6vW5rZ7pWUboD0wJXqVRsjCMT6HQ6nR5LLy3DFLAUIhQe8Vqw8bItS7kQuzGWSn+gSGS/opBMYm5uzrrscuGhWq1aAesmTqKIpKhkXLVb37VUKlkByzJRTLrEPstFlnQ6bYUokzsBi/uPuwDE/h0XsEyA5lqZ3azE8XjYQdI3AWuM6QD4BQCfR1dkfswY87CIvFNEXh4d9kIA3xWRRwFcBuCOaHsawD0icgjABwH8VJTQqQPg5wD8lYg8iG4M7C/36x6GmUKhgC1btuikUFkzJie7Ie9cPFGUlaACVllrJicnkU6nsW3btkE3RVkhnDC77pzAwoSaLo4UBrQaucmUKBgYU+j7vnU3pnWKCZJoUfM8r+cargWWWY1pVaVrsBsDy310FY2XJ+ExLLcSt8DSZdOF5Xk0kVN/cTMQ87tJEm5hGKJSqVgRyoUIugtns9meGrCZTMYuPFDAMuaaArZYLKJer9s2jIyM2Bqw3BYEgS3tRCHq9of4gggXd1zxzNI7JOke3ZjXpBjZQbHYkXsVMcbcjW4sq7vtN5znnwDwiYTzGuhmIk665l8D+OvVbenGZO/evTopVNaMqakpAMDu3bvPcaSiLKACVllrpqamsHPnzoHXMVRWDifQdPt1EyzRfZKTalfA0lpVKpV6asEWi0UrYFutlj2+XC4D6FpX+TxuxSVuKR23FqxrgaV759zcnE0+5fu+jZeltavRaFhhTGuwKxritToLhQLOnj2LVqtlrb/K6uIuJtBqniTc6C7M5EzZbBYzMzOo1Wp2m2uB5TVYBoffNzMFA13X3qeeesqKVJZOoiWY2YLjNWDjFvykMkB8T5b2id+LK2B5rFtCx/M8W6ZqkOjovYFRAausJbTA7tq1a8AtUYaJrVu3IpfL6VilrBmTk5M6Tg0ZdBF24/iAxRN2JtKhiyWPYZZhClhO+D3Ps9symYyNT2RMvltuZ3x8vMdVudlsolqtWrdRxrbSqkYrW7FYXORWzHbFY2Lde3JFQ5xisWiFt9IfKGBdC3iSBda1trImMMVqKpWyVli6fLvfPxdVWE+YfYL90u1DFI+00rJtuVyuxwLrWvbdMkAAbAkeuh7H74e/L/fe3Pvmb2k9oAJ2A7N3714cO3asZ+VFUfrF1NQUyuXyolVqRVkOEcGePXtUwCprxtTUlHqKDCEUBplMBmEY9rj3cj+AHksWsOAWSTfORqNhE+YAsOKSliwRWZQgqdVqYXx8HL7vIwgC+950/aUVlEmceA7QtZa6mYkptOmOTMutm/XYvZ8kkaq1YPsPkx/RTRdIFrDtdhuNRsMKQgpRN16aXgHuNdw4Vtcqy2zCtVrNxsxmMhm7jwKUx5dKpZ7FDr4vfy/8PdB1mAI4LmC5UONuW68ldAAVsBuavXv3ol6v41IszaGsPWrVUC4U9RZR1gpjDKampnSsGkJcARuPceV+Tv7jFk2KTMa70ipGV0xanvL5PNLpNGZmZhbVxxwfH7dxrhQeFLB08WUtWJbnAbCohE+8FizdMdlmHkdrb5JIzWQy8H1fa8H2EbcPkSTxxljVXC5n97MPsFwOa8Ay0RPQ/Z65cMEFEApOY0xPCR1aTilk3TI65XJ5UQ1YJn5y69hye5Kbunu/y9WFVQGrrAkaW6asJWrVUC4UFbDKWnHmzBk0m00dq4aQlQhYN46UMaZ0vYxbLSlouY3nZ7NZzM3N2WsBC7VgmYCHtTgrlYoVzhSc8UzEdA91S/h4nmfdQ926oSzbAywkploqE3EqldJasH2E/YYsVQOWGaZdQcjvmpbQdrvdExPLLNIUonRdZ/bsIAisCGaNV/Y713LreZ6NwWabKVjjvw/2ZSYGy+fzPfeXlGHYrQGbZKEdJCpgNzAqYJW1RC2wyoWyd+9ePP3006jX64NuirLB0Vj94YUT8ni2YcJEOEyQFBe5Y2NjAGDHGVqVaO3ixNytBeu6KqdSKRQKBSskgG75FFpDWZonDMOeWrAUxhSb8bhXtyxPUimdpSywzG6s9AdaOoFuH3Etky78Dlgyx7W2UrAyTpZ1g5m4iyVtKCaZgZiJoYIg6KkBCywIULo2u0m83ORhtNq6NY0ZRw6gp3ase27chTjuCTA0AlZEtiZs29+f5iirCQXssWPHBtwSZaPTarVw6tQptWooF4SOVcpaodnSh5d4KR1Oxt2kNYT7XEE4MjICoNc6ZoyBMcYe4/s+yuWyFbB02+R+ugO7ApYWqmw2ay1qbixsUi1Yxr0CC67CTAgVL6WznICtVqua56QPuDWGuSixlHCrVCpW4PL7ojXdjUVtNpvI5XK2tixjWUXEuqC3220UCgV7PK8bhqFduGG/YQw1hahbH5YWW/YNZh3meUk1YJdyIV6PNWCBlVlg7xGRH+cLEXkrtIzNUDA2NoZyuawWWKXvnDhxAsYYtWooF4R6iyhrhVpgh5d4KR3CiTetVLRUxS2wTNBE4eBavdxETsViEUEQoF6vL0oWNTo6aq1ZxpieDMZ0DY67EC9XCxaALUtSr9cTLbCuJZD4vo9cLteT0EdZPdz413Q6vazrbKVSgYggn8/b/tZoNGyJG36HzEDMPsVtzFTMvlksFm38q4igVCqh2WxaiyrQFdgUpRSi7Cdu3Vpg4ffC38VSNWDpZRB3K45nwx4mAftCAG8QkY+LyFcBXA3glr62SlkVRERjy5Q1Qa0aysWgAlZZK6amppBOp7F16yLnMmWds9TEOSkTMbczZpUWJ4pR1o9lVuEkAUuX37iAdZPi1Go1NBoN6yZMy2qn07ECwo2DdEUCXTvpfkyrHS1pAKxVNymhULw8j7J6uPVT6QKc1P/YT+g+7ApYxlPzfIrgMAztg9mAGRPNflqtVq2lloKW2YTDMLSC1vf9ngRQhO8ZhxmIGTsbv2fX+krPBDdrMq+9HjingDXGPAXgcwBeAOByAHcaYzRqfEhQAausBWrVUC6GnTt3wvd9HauUvjM5OYmdO3f2WBmU4YATacag0nXYdbmNuz/SbZJZYnO5nM0aWywW7XVcS2qxWISIYG5uzl6LwmF0dNSKXt/30Ww2bSIn3/ft9ZrNphUkwOJMxCyl49b9dEXqSkrpaC3Y/uF+pm5SpKTjWAPWFbBMABWvCxsXg9xGccrr0AJrjEGhULBW9vhiBvtrvM2u5wEtsOybF1MDlnG064GVxMB+EcBBAM8B8CMA3isi7+l3w5TVYc+ePVZcKEq/UAuscjGkUins2LFDxyql72gJneHF87xEa1h84m6MsYKAk22ek8vl0Gg00Gw27cSfQpQTeFpmWQvWvcbY2Bg8z0MYhjZjMGNXc7mcjZekcKUQLRaLPRmQ2X6KCSb/cd/LPW6pWrBqge0PFImu63aS5ZGxqkwg5opVij1a1wHY2Gm3VnA2m7VWfsa5upmoWUeY/c4t45TP5238LBdNKIJbrZZdbAEW6iMvJWCX+l0l1ahdD6xkCfIPjDFvNMbMGGO+DeBfAZjtc7uUVWL37t04e/asZqpT+srU1BTK5bJNkqEo58vu3btVwCp9Z3JyUhfahhi3hA4n1HHXSf51Y0ObzWZPLViWK/E8z1q1eN1CoQDP82yCJtJqtTAxMdEjClgexa0FSwHiJoeiuy+FSdx9k9YxWpXdWrDuaxe6jur8bvVZKnFWnHa7bV3IaUlnfdekGquuBZYilP2GwtIYY+OvubhBSy1jntlXisVizyIHMxPzd0LRCyzUgHUXTYhrmY1/Bm6b10v8K7AyF+JPxl53jDG/1b8mKasJV5qPHz8+4JYoGxmdFCoXy65du6wlX1H6gTFGLbBDDi2V56oFy0Q1brmddDptBWy8FiyzBtOSlsvlMDMzYwUF0J3Ql0olmxWW1tb5+XlkMhlb7oTCNQiCHsEqIj2uwTxfRGysK2MdeRzdkpNiYBlfqbVgVx/3817OhZiu59ls1u6nJdS1rDcaDetBAHT7EkvhcCGCca3sB0zGRAHLvyy9w3Pda9LCy4Udtt2tAeteN36/8RI67rahs8CKyLyIzEWPhogEIqIW2CGB/6h1Yqj0E50UKhcLBayWhFD6xenTp9FqtXSxbYhxhSvdJZeqBetaVTmZZ+ZV1uDMZrM26RIFLDP8zs/PW0HqiuBcLmezx4oIZmdn7ftygs9asK4VK5VK2VI6FBDxmFitBbs+iIs/LiTEYbklug+HYYh6vW7PcQUsk3ylUinrUkxLLS2jvAZrwLoClrVj2SYK4iQrvdtnmPUYWBCquVxuUbZhnudu40ILvRSGSsAaY8rGmJHokQPwGgB/0P+mKasB/1Gra57ST9QCq1wsu3fvRr1exzPPPDPopigbFC7k6mLb8ML6lhQTFJaEQpGWzbiVdnR01Lpo8ngAVnjwdblcRq1Ws2VxKDY9z0OhULAC1vM8zM/P98RAurVgXSuWay11E/cAsMmm6I4cT0y1lIB1RbGyerifNzMRJ+HGtrr1Xn3f74mJZYZpCs5arQYRQRAEKBQK1p24UCig2WzaUky06gOwx7t1kBl3zTbzObMa8zfgJjMDsKgGbNxlndviSaeGyoU4TuRS/KKVHCsiLxGR74rIYRF5e8L+vSLyJRH5loh8WUR2Oft+V0S+HT1e62wXEblDRB4VkUdE5BfP9x4uJXbu3AlALbBK/2i1Wjh16pROCpWLQr1FlH7DhVxdbBteOIF2Y1PdzKzuBDxJwI6MjEBErAWWx9Ptl5YzN8MvXZYpKkulUk8m5Gq1al1GKShct2S2K51OW+scLVuE7ahWq0vWgo1DSzGvqawOtIYCC3GjSwm3er1uv/u4WHUFLGOumWCMMdIAemJg8/m8LaHD6/IctosLJOynPJexrrT68l642EIolF2WciFeryV0ACB1rgNE5NXOSw/ATQDO+UsRER9dS+1tAKYAfF1EPm2MOeQc9h50y/L8mYi8CMC70a05+zIAzwNwA4AsgK+IyGeNMXMAbgewG8CzjTGhiGgxt2XI5/PYtGmTTgqVvnHixAkYY3RSqFwUroB97nOfO+DWKBsRtcAOP8vVgqVIjCdeYgIlY4yd8DMZTjabtbVb2+22dZOkSGWGYd/3rftmuVy2SZxExJbloZU1lUrZa7mumbSk8j1ExMbB0mLXaDSsaOFxFLB0ZXYpFAqoVquLEvAoF44r/ihA44KPMFN1LpfrEbDMPsxFiyAIrFClOG2321boAgvCcnZ21lpPi8Wi7RMUqUEQWFHLdrlZi+MW+6SyN0k1YOlRwHunBZj7gfUlYFdigf1R5/FiAPMAXrGC824BcNgYc9QY0wLwlwnnHQDwpej53zv7DwD4SpQwqgrgQQAvifa9BcA7jTEhABhjnl5BWy5pNLun0k90UqisBhruoPSbyclJpNNpbN2q697DStzCSpIyEQO9mVPb7bZNekPrarFYtDVY6bbJ2ppMphN/j9HR0Z5SOvV63VqrKAIoUOhK7HkecrmcjbWl0OB1ea7rBkpRslwm4kKhoLVgV5l4X3Lrt7oYYzA/P98Ti9pqtdBoNKx1nKI2DENks1nbz4Bu/CutskC3fxYKBVQqFRu3Wi6XrUWXicFofXUF7LlqwNKSzEWQuBDlAhDhgslQuxAbY97kPH7OGHPHCkXjTgDuTGQq2ubyILoxtQDwKgBlEdkUbX+piBREZDOAH0TX6goA+wC8VkQeEJHPisizVtCWSxrN7qn0E3XLU1aDbdu2wfd9HauUvjE1NYWdO3f2JC9RhgtOsuMJZeITeOLGy8ZrwVIwMGaWtWBpgRURzM3NAUBPuZ1yuWwFged5aDabqNVq1voKwLoRAwtCtFAoJNaCda238dq17nFJbsS0LiftUy6MlZbQ6XQ6NjmT60LMmq1uXKxrzeR3xb5GDwAufvB4Y4xdoGAfda3DSwlYNwMxBaxbgideQodtSaoBGy/747oiD5olWyIi/xPLuAobY84Ve7rYZr34ev8JwP8SkdsBfBXAcQAdY8wXRORmAP8I4DSAfwLAgl5ZAA1jzE2Re/OHAHx/QvvfDODNALBnz55zNHVjs2vXLtx3332DboayQVEL7MWhY1UX3/exfft2FbBK39BkcxfOehmnPM+zLrrM2EoLKqELrluvFehOynO5nC2R02w2MTY2BhGxLsK8LpPn0EXUFZUTExPWyppKpVCr1VCr1TAyMtITA8s20QW1WCwuErCuVcx1U+Z5PM597UJLcb1ex9jY2Gp+1Jcs/N6YCAxIdp1lXd94wiZaWyn4Wq2WzSIMLHyPtOz6vm+trKwhzARf+XzeLo5QwNLtPJ/P2xI8rmDNZDL2ehTCrlcAxbYLvRFIvF5x3EK7HlhuGfIBAN9Y5nEuprBgNQWAXQBOuAcYY04YY15tjLkRwK9F22ajv3cYY24wxtyGrhh+zLnuX0XP/xrA9Ulvboz5oDHmJmPMTVu2bFlBczcuu3fvxpkzZ2y2NEVZTSYnJzEyMoKRkZFBN2Uo0bFqAQ13UPqJlvu6cNbTOBWvAZtUC5YWqrhF0y2DwxhExqK6FthUKoVsNmuzBru1YEdGRqzVjJbZmZkZa92lkKAYdcUALb1sJ69Nt07GzVL4AL1W5zjMYKuZiFcPJvPidwskW2CZnCmVSiGfz9ukYa7Lsbu4Ev8e6dLO5xSwbhkeup27FlQueuTz+R6BSc+SeA1YYMEjwI3NJWEYLoqhTup7wyRgbzXG/BmAMWPMn8UfK7j21wE8S0SuEJEMgNcB+LR7gIhsFhG24VfRtaZCRPzIlRgicj26IvUL0XFuFuQfAPDoCtpyScN/2MePHx9wS5SNiE4KldVCwx2UfhGGIaamptQCuwGg0FtKwKbTaXie1xPbSkGYTqdRKBRsrU0KASbHcZNBZTIZWwvWFcGFQsHGLtJKNzs725PEiRlj3UzEzDzsCli3lA6FNxNH8TjWIE2ywDIJlQrY1cNdKOD3niRgm82mXWxggiYugtAq61ppS7SnFQAAIABJREFU3VhmlsShgKWAZNw1rbgUrnQvp6Dm/qT46LgLsRtjC6CnXrG7Pe5CzN8Rj1lP8a/A8gL2e0RkL4CfFpFxEZlwH+e6sDGmA+AXAHwewCMAPmaMeVhE3ikiL48OeyGA74rIowAuA3BHtD0N4B4ROQTggwB+KroeAPwOgNeIyEPoZi3+2fO640sQLU+h9BN1y1NWCwpYLQmhrDZnzpxBq9XSxbYNAAUrJ/zxWrBujB9ddt3MrPQWYrbYXC63KIkTrV9zc3M9rsquFZdZjIMgQKVSseLVzSrrugy7NUABWAHixheKCGq12qJSOkvVgqWAdZNNKRdH3HrpZud1qdVqtg9QaLrfJbfV63UrYLmAQZde9qMwDK1IZV90FziYLMzzvB5R7bqXuxZYtiPJddkVvu72pUro8Jj1ZoFdLhr3jwB8DsCV6LoMuzGtJtq+LMaYuwHcHdv2G87zTwD4RMJ5DXQzESddcwbAy8713soCmt1T6Sda9kRZLXbv3o1arYbp6WlMTJxznVRRVowmm9s4ZDKZnok5sJA1la64nPAvVQuWLr5uTVa693KiXiqVbEkT1+JLixsTRNECy/flxJ/nuRZXV8BSKIdhaF2e6Q68adMmzM7O9tzzUrVgM5mMWmBXEboQs08sZXnk90hxyhI6zErM/sJET+yv7Je0wNJaXy6X0Wg0bJ8tlUq2L3qeZ7Mb0xWY7upxF2A3eZObPIoW3KVqwMZFLWNigyCwAns9saQF1hjz+8aYawB8yBhzpTHmCudxTvGqrB927uwmf1YLrLLatFotnDp1SieFyqqg3iJKv9BkcxsHd6Lu4lo6Gb8oIj3iE+gKWFrCKByB7kS9Xq9bS1mpVLICNC6Cy+Wydf31fR+1Wg1BEFjrLIBFLsS0wDabzUUxh8YYa1Gu1+vW6uu6Fy9VKqdQKGiOk1WCmaYZF83vJYl6vd7j6uuKVVfUctGD2xqNhhWTbl9hCR0KWr4vs2izhA63uQmcANhEYG7iMtYYdklK4ORuN8bY/g6szxI6wMrK6LxlLRqi9I9CoYCJiQmdFCqrzokTJ2CM0UmhsiqogFX6hVpgNw7xiXS87ExSjctMJmMFQLFYtMKWAoWWLdbaZCkdxsoyDpGTeboh0wrbaDTs+9DSynIofF+3VE6r1bKxrWxLPp+3ZXkoOtxasGxvnEKhgEajgTAMV/FTvjRxrdxujHUSXLRw673SAst+wD7ARZIwDO2Dx9HVlxmHmRysWCyiVqvZhGEUvSICz/MWldBhX3YXOthf3HqwSb8P3/d74l2TasAOjQVW2Vhodk+lH1Bo6KRQWQ003EHpF1NTU0in0xh0Bl3l4uFEOp4plhN3TsZdYetOxuneSdHJWrCMP+QxxWIRQRBY91wmhQrDEOVy2b6353mo1+v2fZaqBcvkOa5bsZtFli7FtAC697RcLVhaipey0Corx62zSmvmUgK2UqnYrL4Uq4yfpajlAkY+n++Jhw6CwH73xhh7DN2SjTEol8vWI4ALK9y3VA1Y11LP3wUFMMVv/H6WqgHr9k1ABawyIDS7p9IPKDTUAqusBtu2bYPneTpWKasOs6UnJWNRhgs3cY078Y7XggVgYwRp0eQ5uVzOZowtFAo2FpUiJJPJoFQqAcCiWrDtdhujo6MAFsREvV5HrVZbJGA5+effpWrBMqaXlmCyklqwblZl5eJwxd9yGYiNMahUKotqwHY6HVur2BWe2WzWupQDWORCTndl9uFOp4NSqWRdkt26wrS0MkY1yQLreZ61yNNtnYstS3koxD+DoXchVjYGKmCVfqAWWGU1SaVS2L59u45VyqozOTmpC20bBM/zrKXSTegUz9qbBCfr+XwezWYTzWbTClgAPe7CtNTGEyS1Wi2Mjo7aTLIUv0zklM1mrfWVk3+2LZ/PLyqt40ILLa/ruhADS9eCBWBr1ioXjisSSZJw63Q6VlwyeRcFLPtSvK4vgJ4FDTfLsNv/4hmK2dfdmsYsB8Vr0crqZujmvXieZ92P4zVgeb67LV6nmGWB1tvi35KtEZF5EZlb6rGWjVQunt27d+P06dO6QqesKpOTkxgZGUG5XB50U5QNgoY7KP1A61VvLNyJelItWE6+KRBcN2O3DA5dPimKXQHr+z6y2Szm5rpTXtett1wu27haWutmZmaQyWSQzWatezHdgV1RwHI87usgCCAiyGaziUmjlrPA8v+vZiK+eGgxdRMfJS2GuPVdC4WCtbaz/A2w4EJujLHuuOxbzWbTJnDiNgB2ji4iKBQKPYs0bj+mFwHbzP7mltABYOsUs5+7WbIBWOt/3ALrlg5ajyV0gOWzEJeNMSMA3gfg7QB2AtgF4FcAvGttmqesFvzHffz48QG3RNlITE1NqfVVWVXUW0RZbcIw1LFqg+EKVwqAJAssBSxdNjkZZwZXljTJZrM2+ypFA8vlJFlg8/m8zRRM98/Z2Vl7Hi1ujJmNxxG6wjReCxbAolqwtIAlCdhcLgfP87QW7CqQZOFOssC2Wi1bzzWfzyMMQ2s5p0WWCySu2y5L9LgldJjkie7rbmZj7nMzI4dhiFwu13NN192Zr13LLs+PW2CTPAFarZYV3Dx3vbkPAytzIX6xMeYPjTHzxpg5Y8z7Abym3w1TVhfN7qn0A3XLU1YbCtikbJuKciGcOXMGrVZLx6oNBCf3SbF7wEIpHU7k4xZNxrCy/Awtsqzd6lpgGevouirTAkbBEgQB5ubmrOsxRQIzELtCIZVKWVHsupG6JVsYT0vLrXvPcWhVUwvsxUPBSVibNw6zBWezWWSzWStemfzJLavDbNPAgpBk1mGew/I6FLSuCM5kMja7MbCQAMq1yrONFLtAb5wt46rdvsn2cLv7GcRjy4fKAusQiMhPiogvIp6I/CSA4JxnKesKze6p9AO1aiirze7du1GtVjEzMzPopigbBC2hs/FwLa9A1+XSrZNJAcDXywnYeMkQHisiKBaLPcKC10ilUlaAUKDMz8/b96UllXGwbixrKpVCs9m0MYu04AILgokC9nxqwaoF9uKhhRRAT7+IU6vVrLh0S+gwqROt6vV63S4wuK7kbmZiYCFelmWUmMU4CALbXwBYEUs3ddet2MW17PL9mFzKdY9OssA2m80NI2BfD+DHAZyKHj8WbVOGiJ07dwJQC6yyerRaLZw6dUqtGsqqot4iymrDvqRj1cbBFa4urqsuLViMAXQFIONGKVhosQ2CwJYuARayBjM21nXRLJVKNoYwnU73iJpcLmddkmnZpWBlTCPdmeka2ul0bFwjBWz8npYSsG4JFuXCoUWSiwrnqgGbzWbt90KxyuRfdAn2fd9+z26SKLrpulZWAFa0AuipB0zrLuNjgYW+4boX8zWzb1PgLpWBGOhNEhaP2V3ucxgk5xSwxpgnjDGvMMZsNsZsMca80hjzxBq0TVlFisUixsfHdVKorBonTpyAMUatGsqqogJWWW3UArvxWGpC7U7IOamncHBL1uRyOesWTAHLup901/R9H6VSyW5zBSywIILDMITneT0JoJiJmLGRbBtdOOOldLifpVHcjLPucRQUcVhyRUMvLhx+towVjbvSutTrdZsp2HUXpkikqKVVlYKYixkiYmNgO50OCoUCqtWqXcgolUpWENOKz77s+76N4Y67zcddzJncif0iLmCZYdgtMwUsLqEzlBZYEblaRL4kIt+OXl8vIr/e/6Ypq41m91RWE60Bq/QDDXdQVpupqSmk02ls2bJl0E1RVgk3xjSVStkJ+lITbleMuJmIG42GFbSMH2TJEtaCDcMQ9XrdxsCGYYggCDAyMgJgQcDSCrdUopxms2nFDV2VgV4B65bgIUllTeLQHXUpC61yblzrKBczlhJulUrFWiopYHk+RS0TeLEGbBiGdkGDCyzAQkwrF07CMESpVEKtVuvpk0C3r8VL6BB3cYWiNSmO2iUu0pfqa0MpYAH8MYBfBdAGAGPMtwC8rp+NUvrDrl27dFKorBpaA1bpB9u3b4fneTpWKasGk82ttzqGyoUTF6NumRwAPXUrjTFWZPIYlrtpNptot9vI5/M2ZpZihEJBRGyNVdcqOjY2Zl/7vo9Wq4VKpYJMJmNdPRmby3NoeYsndqLgYJwikwK5mYeXqwVLy+38/PxqfsyXFK74c7P6JlGpVOx3ReFI9113W7vdtuVw3ORKbpZfQitrEAQol8uo1Wo9dYHZfz3P6xGwFL20+rpJwVKplK1XKyLnrAHLz4Dti/e99cRKRvOCMeb+2LZO4pHKumb37t3qlqesGmqBVfpBKpXC9u3bdaxSVg2tAbvxcMvKuBmJ4y6VFJFAr/jMZDLI5/NoNptoNptWwALocQVmLG2SgC2Xy9ZNmPGzMzMz1rpL4dxsNm0cLtsFLLZ2UYS7tWDdUjrL1YItlUoAtBbsxZDknp0kYI0xqFarNt6VmandpElchKAln8m4uNDhJu+iaGVZnk6nY2Ov3cUMHptKpeyCRVL/p4AlFLlsb/yel6sBO+wW2DMisg+AAQAR+f8APLWSi4vIS0TkuyJyWETenrB/b+Se/C0R+bKI7HL2/a6IfDt6vDbh3P8pIpWVtEPpsmvXLpw+fdoWSlaUi2Fqagqjo6M2DkhRVgsNd1BWk8nJSfUU2YDEJ+5JAhZYSMjjuvpSwBpj0Gg0rHXK8zzU63V7DOt8UsASxqtms1kb0wjA1oJlTK1bC9QVrK6g5fGdTgee59n7it/TcgKWgkYTOV04rVbLZpUmScKNSb1830cul7PfpSsGGXvKxF28fiaTQaPRsOe5WYYpUoGuG3K73baLGW5N11Qq1WOB9X2/xwILwNYndhNHMYEYcTNrk6UyECeVEho0KxGw/w7ABwA8W0SOA/iPAN5yrpNExAfwBwBeCuAAgJ8QkQOxw94D4E5jzPUA3gng3dG5LwPwPAA3ADgI4JdFZMS59k0AxlbQdsWB/8DVsqGsBmrVUPqFhjsoq0UYhjh+/LiOVRsQV7hSCMQFLBM0uVl/aWWiCOCiPq26dCt2a8FWq1UrLihY8vk8crlcT+bXubk5K0j5/nTnjFtg47VhaQGkKzPFBIWva3WOk8/nISJqgb0IXNfs5VyIW60Wms2mTabE+FbGzHLhIm69ZGKudrvdk6WafTIIAhszy7rEdCHmAoyb+ZhtcdvK17QGM56aCzRJ7sLL1YCNuxivJ1aShfioMeZWAFsAPNsY830rzEJ8C4DD0fktAH8J4BWxYw4A+FL0/O+d/QcAfMUY0zHGVAE8COAlgBXG/w3A21bQBsVBk6MoqwnjyhRltaEFVjNqKhfL6dOn0Wq11AK7AeHk3nXBTRKwTMgTdzNmEiZaLfP5vE2yQwHLeq+NRsPuc4WzK2ABWAHLWrC0ssWTNvm+b0uj8HjGytINlaV03Pq2tM7GYWytWmAvHFcMciEhyfLIEjq+76NYLNpSSexr8bqwrss4rayFQsG6+boLL26/Y1+r1+vWdbjT6SCfz1u3ZMbNArD9nALWFblJMbCuZdb9DNz43LiFdj2xkizE/yGyftYAvFdE/llEfngF194JwFVKU9E2lwcBvCZ6/ioAZRHZFG1/qYgURGQzgB8EwP8+vwDg0/8/e28eJFeWXvf9bu57ZmXWhtpQBaABdM90T/dEQz3iErOQlIdmmApyLI0sk6YoydQfkk1bkheGbMrmmEEpJFKhkGQxSJkyGdJoZNIiTdtcRsGQR2Swh9PNXmYaDRSAWlBZW1ZW5b5vz38UvoubiaxCAY1CVQH3RGRk5lsyb2a+evXO/c53juM4R5IxW9yHJbAWTxLr6+v2otDiWDA7O0u9Xiefz5/0UCzOOGwG7LMLIXODUmGz8iXySrhfXTIJrOM4On/T7FWUC3eRENfr9T7JpelkLAY7LpeLSqWiTXzEHbnT6eibVOmEoJgVL+mnlee1Wu0BM51BmbSJUChkCexHgPm9PiwDVnpbpUdZJMXy27fb7b5cWCG4UhEVZ2LYP06loluv13WFVY7tZrOpJcIS8eN2u4dOZAikemuag8l7DX5e03HYPP5k2ZmtwAJ/0XGcEvCngHHgR4G/c4T9hgmmB6fT/ybwaaXUu8CngQ2g4zjOV4HfAv4Q+FfAm0BHKTUF/BngHz30zZX6MaXU20qpt7PZ7BGG++xjenp//sBKiC0+KlqtFplMxl4UPgHYc9WDsJNtFk8KNgP2yeA0nqfkAn3QXdqURkrVSmS/ZpZqJBLR1SqRGpvEUi7cpVomWbAi+XS5XEQiEW3g5Ha7NbmRLFjpgzSzYM2eV9NgR9YPOswOfiZLYI8HUs2U/tXDCKz8TvJ7CFkVwio9sUJqRf4rkxTiRC2VXlMuLhMv5qSI5L8CD0TomFVjgUyqyDLJpzUrygdJ2mXSRCZzzjKBlU/7HwL/3HGc9xlOTgexzv2qKcAMsGlu4DjOpuM4P+g4zmvA37q3rHjv/qcdx3nVcZzvufd+t4HXgEvAHaXUKhBSSt0Z9uaO4/yC4zivO47zus1+20coFCKVStmLQouPjM3NTRzHsReFTwD2XPUgZGLEnqssPipsBfbJ4DSepwbdewWmNNKU5prVTqmkSqVLKlxCYIWQKKWIRqN0Oh3tDGyS4FgspiW+4iBbrVa1SRTQF5ljEth2u/2AE7FJYM0Km7ndMLdc2L/GE6mzxaNB+lhlImOwF9REvV6n2+3qvFc5LkSiO5gLO1iJV0rpHliRBNdqNe1QHA6HqdfrehymBFgUAdAf+yPHk0Aqta1WS1d+hzkQu91uTYzlGBMCO0xifJpwFAL7x0qpr7JPYH9XKRUFjvLX8RbwglJqQSnlYz879jfNDZRSo0opGcNPAL90b7n7npQYpdQrwCvAVx3H+X8dx5l0HGfecZx5oOY4zqUjjMXiHqy7p8WTgI3QsThO2AqsxZNCOp3G5/NxWkiXxZODSUaHZcGa0mKptA46wgYCARqNhiYBYsBj9h2Kw69UYCW3tdPpEIvFdKVL5KFCYM0KschFpcJmVmAHP4u4I4vs1DRuMrcbRDgcptfr2aSJx4B8n2bP9EGVR+mB9fv9miQKAZb+VIm+EVk6oCXkUpWV48XlctFut3UlXzJgRT1gZhgPZsACmpyahBb2j5Vqtaorr8MyYAcdiGU/8zs5yxXYvwT898A1x3FqgI99GfGhcBynw36/6u8CN4D/w3Gc60qpn1JKff+9zT4DLCqlbgETwE/fW+4Ffl8p9SHwC8AP3Xs9i48IS2AtngSkqmErsBbHgcnJSTwej213sPjIWF9fZ3p6+gGZqcXZh1xYC6k0Y3LM9XC/v9SU5EoPq7gOh0IhTRokukRIrlKKWq1Gr9fTFSvJghXCIGY8lUpFE1iByIHlXkiFSUxNN2Oz+mb2vQ7KPU0I0R6M/LF4OMzvU46RwyTEwANyYZnwkGVSXZUKvyljN7OJzfgcIbCSMyuTHFJ9hX4JsWlkJhM58n7iqG32zg5+5sFjVKKk4PQTWM9BK5RSVx3Hucl+lA3AhUfNAXIc57fY72U1l/2k8fjXgF8bsl+DfSfih71+5JEGZMHMzAx/8Ad/cNLDsDjjsBVYi+OE2+1mamrKTrZZfGRYt/RnFx6Ppy/XVVx7hYxIH6GQVxOtVotYLKbzNuv1OrFYTPeiNhoNfUHv9/vxeDyUy2Xgfs9hq9UiEonoC3wx1imVSoyMjOD3+zVBaTabfVmww6J0TBdZIdby2Q6qjpmwWbCPD5Flm9LsgwisGHVJJV0icOTYERJpElghkqVSSfdGS9Ve3IklOiccDtNoNLScXSZSpA9WCKzZNxuJRGg2m3g8Hv37S2V3mAOxfGZ5LfP1BINV/9OGw6Yk/8a9+58dcvv7xzwui2PC7Ows+XzeZoVZfCSk02ni8TjRaPSkh2LxjMKqRSyeBNLptFWKPMMw+xUHY3JkPdwnnSLhNCXEgHYilv6/RqOhK1pCKKWyaRLYcDiMz+fT/Y1er5dCoaD7b71eL91ut89ICtCExHxu9jFK7+5gBdaUQA8iFAqhlLIV2MeAVEyFhMLBlUchsKbUW+TCgJaUm07A8rhWq+nMXplUEQIrx5WYhom8vdPpaDdtt9tNJBLRYxYpupkBa34OkSYPZsCajtqCZrP5QISOy+XSioPThgMJrOM4//m9+88OuX3u6Q3R4klC/pFbaZ7FR4G9KLQ4bszMzFgCa/GR0Ov12NjYsOeqZxgmcTVlmgK5aHe5XPR6vT5C6PF4dAVKCKz0wZr9rmKcIyTHJMHBYFBH6cB+FbZYLGpCKn2NIhOV/lQhNmKyYzoTA33yUYlcEQJjyqRNSKXYVmAfHYOOvjC88tjpdGg0Gn3HhCz3eDy6h1pch02Zu1RExcBJ1jcaDX3ciqzdJLBS3e31errvVo4dGa9M5JivI59LPsdgPI7sB/cJ7SCBPa3yYThcQvyDh+3oOM6/efLDsThumOYoV65cOeHRWJxVWAJrcdyYnZ3lN37jN7TMysLiUZHJZGi32/Zc9QzD5/NRLpf7slRFDmrKJoVYDFY0R0ZGAPqIpcg6hcBKta1cLtNut4dmwQLacKlUKmlHYyGiJok1ibFE7EhFVqSlXq+XXq9HvV5nfHwc2Ccj4nw7TELscrkIBAKWwD4GpIdVILLbQUhMkkh5pVe61+vpDFjJhZXnsl7k5EJQgT5ZseT+mpMy9XpdO2R3Oh2i0WifE7Vp7iQVXTECg/t5sPJegmEV/cHooMEe2dOGAwks8B8dss4BLIE9g7DxFBZPAul0mtdff/2kh2HxDGN2dpZms8nu7q51kLV4LNgM2GcfIrsd5rDq9/t1pXPQiVhktrFYDLhfgZXqmBDVSCSC2+0mEAiQzWb7CKeQYSELQihE9ink13EcnanpdrtpNBoPZMFKJi309yZKnArsk2whsAdlwQaDQdsi9hgwq5kPy4CVyKRQKKTJqjgLy29Tr9dxu914vV7q9Xpff630xZoZsH6/n2w22ycl93q9fRmw3W6XYDA4tB/bNAAbzG4VSfPDCCzwQAVW+qpPIw4ksI7jPNRp2OLsQQislRBbPC7q9TrZbJa5ubmTHorFMwxTLWIJrMXjQAisPVc9uxA55WC1TOSQIuOVC3wxb+p2u1qSKeZLZpSOSIjloj8SiWhXYCGw1WoVt9uteyGlCtfpdKhUKvj9fvx+P+VymV6vp3M3xSznoCgdyYIVIi1VNtMASgj3IMLhMNvb232OyxYPh1Qg5VgxiZyJarVKq9UikUj0VVuFwJru0bLMjOiRCqxZQZcJDDku3G63Pqar1Soulwu/368l63D/WBiEVHn9fr+WOsvfhtnfO3jMDZqEwemXEB/p6FZKfZ9S6r9VSv2k3I57YBbHA7/fz/j4uK3AWjw2bISOxdOAVYtYfFTYCuyzD7nglgv+YVmwQirNGBPZxqx4SUVMiGWj0egjsNLDaprn9Ho9YrGYNuWR95I+WKnodjodLVM1K7DtdvtQAmvKU0XmbEpIBxGJRHQMkMXRIJMZQF9lfRhqtZr+fWRbkYZ7vd6+XFi43+tsRuUICZVJDYm4EVMwidCRTF+ZJBFXY+g38RJ5vLymUgq/36/Npg6K0JF+anlubiffyZkmsEqpnwe+CPwXgAL+DHD+mMdlcYyw7p4WHwX2otDiacAazll8VKTTaYLBIMlk8qSHYnFMGMyCFZgEVhxcTQmxbCMks9lsagIrhEBkoFIBg/vuxOZrxONxoD9rtlQq4fP58Pv9+r2lx1EiVUTaaRJYqeRKBI8QXNlPtpPPPIhwOKzJt8XRMEgGTfOlQdRqNd1jahLYXq+nl7XbbS0zlt9Y3keqskJqzfxY6XEV2bhUcmW9UuqBCB2RqjebTT12IdO1Wk33dA+L0Bl0IDbzaU97hA4crQL7bY7j/GdA3nGc/xn4k4C9cj3DsO6eFh8FlsBaPA2Mj4/j9XrtucrisSFmc9YE7NnFIBkVx1aTwJowpbVSSQ0Gg9rtNRAIaCIgZkjS56qU6nMnlteIRCJ9ebNKqT4jJzPv0+v1arLhdrv1cnkfqSJL/6RUfMWRdvAzD0IqxTZK5+iQ79GUoh9E3Or1el8sjZh9SZ+qWYE1e13l2JEJEtjvTRWyKtX2SCRCrVZ7IEap1+vhOI7uSZVJDTmGzUkO6fc2TZiG9Yibn7HRaDzQ/zpsv9OEoxBYEdrXlFJTQBtYOL4hWRw3bAXW4qNAjh2ReFpYHAdcLpedbLP4SFhbW7MTbc84pDJlugsPy001YVbETJlvtVrF6/Xi9/txHId6va4NcQKBgDbPMd1fxXBJqrxCVmq1Gi6XS5NSMwvWdDyWcchYzSxYqbAJOWm3232yzmEVWBmnNXI6Okw5ttwfJiGWiqj8VhKhI8ulAmtGL4l5lxxr8j61Wk1X3rvdLrFYTFdOpQIbDAZ1dJPZA2u6FTebTR2vJL2uIknu9XpDJcQmOW02m9pNW9bD2Sew/49SKgH8PeAdYBX4ynEOyuJ4MTs7S6lUolQqnfRQLM4gxFTHPNlZWBwHLIG1+CiwcV/PB8wLebmAlwtwkQCb/bFiTjPoIizGSKZcWC70hYyKw7AptQyHwzqr1awAy/tINU0qdSIbligdk8Capj8iKzXJhRAXee9BSGVQXGotHg75rUyTo4NMnMrlcp8DMaBlvCZEZixkVoy35HeUnNhOp9NXORUJuBxr9XqdYDCo+6AjkYjunZXjXo5lOZZENiy9uoO9rOKIbUrRxfjJHD+ccQmx4zhfchyn4DjO/8l+7+tVx3H+x+MfmsVxwToRW3wU2ItCi6eF2dlZe56yeCy02222trbsueo5gElGAX3xbq43MUh2xUXYJLBSKTXlwpFIRBNYkzgEAgECgYCuwEqUjkiGhcAKaYF9smz2vJqxO7KN6VJskmoh5cMIrPTdWgnx0SF9pjIpMaxnFNBV+kECK8eR9E6Le7RpDibrAoEA3W5XH1+9Xo9wOKwWPfI7AAAgAElEQVQNl8SsKRwO62q/ZAKL3F3edzAD1nzfXq+nj03o/xsYJKeiCBiswB6UhXtacBQTJ7dS6vuVUv8l8FeBv6SU+uvHPzSL44IZT2Fh8aiwBNbiaUEIrDhEWlgcFZubmziOY89VzwHMShTcjxIxiSCgZb6DMmMxYarX61oGKv2JZhU1GAzSbDZ136MpWTZ7Z2GfVJTLZS3tlOVyLzJRMfkxK6uS5SlVXckJhf64k2ESYskibTab+r0sDof5PR6WASsTGm63WxNYkwzKbyLVUJngEBIofbFyDOVyORzHwe/3UyqV8Pv9fcZMxWJRGze1220CgYDuuzUhygIx/RLi7HK5dL/tMIOzwQgdk8AOmjydRhxFQvx/A38BSAFR42ZxRmEJrMVHwdrams1VtHgqmJ2dpd1us7Ozc9JDsThjsBmwzw8Oij4ZZkRj9svK+lgspgmrEIpBAiv9h61W6wECKz2ygDbjkapuJpNha2uLjY0Ntre3uXPnDuVyma2tLZ092mw2dWbnYP+ifA6pwJlGTsMqsCbhsVE6R4NJMg8jsNVqVRNYyW01M2DlNxHzr3a7ze7uLvl8np2dHbLZLJlMhg8//JC1tTVdyXW73boXVo5LIbWwf3xK/6xJYKUCa8YpSe9tpVLRmbLQ/zcwSGDl2DtLGbAAnodvwozjOK8c+0gsnhqmpqZQSllpnsUjQ3qnbVXD4mnAnGybnJw84dFYnCVYt/TnB+LiakpAAS2hNC/EXS4X7XZbm9uISZNpniQGPVJhi8ViALqf0CSwxWIRr9dLKBTS/a1SPX3ppZfodrtks1l2dnb0YyG2k5OTpNNpms0mlUqFqakp1tbWyOfzVCoVlFLs7u6yvb1NOp2mXq9TrVZJJBJ6HzGLMm/RaJRsNkuj0dCxKxYHQ6JwpE9VomxE9i23dDrN3t6e/t0LhQLpdJrt7W1NgjudDktLSxQKBSKRCJubm7oHu91uE4/H9fEWj8e1jFwmVUQ94Ha7db+t9MXKbymkedB4SmTEfr+fvb09XeGH4QRWlg06EMs2p/3YOQqB/W2l1J9yHOerxz4ai6cCn8/HxMSErcBaPDLsRaHF04TZr3/t2rUTHo3FWYI9Vz0/kMpRr9fru7A3L9SFGIjB0mD8jhBYqXR6PB5qtVqfW6tUWev1Oq1Wi1gspklwNBrVJFrMeXq9HiMjI0xMTNButxkfH2dycpIrV66wubnJwsKCjuuJRCJEo1EikQj5fJ56va57Wbe3t4nH49TrdfL5PF6vl93dXXZ3d4f2KabTaW7dukUoFGJiYkITKLkd9hw49P4o2wjMyuDjwHTrHXz8sPVyE1I37Ln8douLi7TbbV1VHRsbG2qCtbKyws7ODuPj4+TzeXK5HLVajV6vRygU0hMLiUQCj8fDhQsX6PV6JBIJ6vU6xWKRhYUFnREsjtHiWp1MJnWETqfToVKpEAwGCYVCdLvdPgIbCAS0VFmOayHcPp+ParWqSan0TAvEsEqWDU50yCTMaZcQH4XAfh34daWUi/0IHQU4juPEHrajUurzwD8E3MA/cxzn7wysPw/8EjAG5IAfchxn/d66vwt8371Nv+Q4zr++t/xfAq/fG8s3gL/iOM6DjQAWh8JG6Vg8DuxFocXThG13sHhcpNNp4vE40ajteHrWMUhGBwms6e47aPhk9rCWSiVtmiOEQHI6AYLBoDZoGsyCjcVimryJ47CQX4nlgfvSTL/fTygUIh6PEwqFiMVizM/P6/HHYjHGxsbI5/OkUimuXLmCy+ViZWWFixcvMjo6yt27d5mbm8Pj8fRVCnu9HtlsllAoRCqVeoDEDRI5MR4yb8Ch9wete5IYJMwPI9SDjyWb9TDi3mg0GB0dpd1uMzIyQqPR4Pz584yNjfVVtaW/eWxsjBdffJE33niDDz/8UP+Wly5d4sKFC2QyGXK5HC6Xi5GREbxeLz6fj0KhoLN9ZaJDFAIStRONRjWBbbValMtlZmZm9PdtRuhEo9G+CB0hrSIZbjabpFKpob2s5vHf7XZpNpuMjo7q9WchAxaORmB/FviTwLecRzhClVJu4J8A3wOsA28ppX7TcZwPjc3+PvArjuP8slLqc8DPAD+slPo+4JPAq4Af+JpS6rcdxykB/xL4oXv7fxn4y8A/Peq4LPYxNzfHBx98cNLDsDhjsATW4mlidHSUQCDA2traSQ/F4ozBms09PzBzUQcjdWS9mCUBfTmu4vAbCoXY29uj2Wzi8Xh0FaxarWpX2mAwqImHmDDJa4RCIU08ut2uzvD0+/2awIrEVEiGyH/dbrfua/T7/X1VYvM1E4mEJh7JZJK9vT1CoRCRSOSB72R7e5toNGr/Bh6CYrFIsVikXq+TSqWo1WpMTk4OnfiS40lcqmWiQqqZcsxJ9VKIoNvtpl6v6+NKjgUxJxTDMSGwogaoVquMjIxoMy6RsMtxJfL1RqNBMBik0WjoY73RaJBIJIb2spqu1uK8LeTY/JynvQJ7FBOn28AHj0Je7+FPAHccx1l2HKfFfnbsnx7Y5iXg9+49/nfG+peArzmO03Ecpwq8D3wewHGc33Lugf0K7MwjjssCmJ+f5+7du8cya2bx7EKMB6ampk56KBbPAZRSzM/Ps7q6etJDsThjWFtbsxfvzwnM3EvT0Gmw18+s0vV6vb7czHA4jFKKSqWC2+3WlVCJo5G+RangViqVPgIbDof1cyEZQqRFJipEpd1uEwqFKBQKeuxm7IkQGHFEFidiIdDVavWhWbB+v59arUan0zneL/+Mo91u0+l0+qTYB2XAijmTGWUj+8L+9y7y8VAoRLlc1q9r9rgO9ms3m00cx9FSY5GvNxoNpqam9ERHKBTqi7wR8ixSYoltknieRCLRJ4EXmMvkM5kS4rNSgT0Kgd0C/j+l1E8opf663I6w3zRg6r7W7y0z8T7whXuPfwCIKqVS95Z/r1IqpJQaBT4L9P0nUkp5gR8GfmfYmyulfkwp9bZS6u1sNnuE4T5fWFhYoNFosL29fdJDsThDWFlZYXZ2ti/w2+KjwZ6rDsfCwgIrKysnPQyLM4aVlRUWFhZOehjPDE77eUqIpWSnut3uBwgs3Je6yrZCLEKhkM75hPsVKdOJWNyGG40GjUZDE2IhsBJ7IzepdIkpVL1ex+VyUavVGB8fp1arcfv2bZaXl0mn0ywuLrK7u0uxWCSbzWpJc71ep1wu615LcZiVzzEIkURLBdniYMhEg1zTHJQBC/0EVirmcmwIMZVlwWBQE1ghpD6fT8vPpSe2VCqxvr5OpVKhUCiwvLzM9vY2b7/9Ni6Xi4mJCer1unY+FgLr9/t1z7aMWyZM5DiLxWIPSIhlEkWWiWT5MJOn04qjXIWu3Lv57t2OimHpt4Plvr8J/GOl1F8A/j2wAXQcx/mqUuoa8IdAFngTGJxG+l+Bf+84zu8Pe3PHcX4B+AWA119/3ZYZBzA/Pw/s/5M/d+7cyQ7G4szAXhQ+edhz1eGYn5/n61//+kkPw+IMoVAoUCgU7LnqCeK0n6f8fr/uRRXIhbiY2Jgkw6zSejweotGoJpdKKV2FM/tdXS5XX46n+RrhcJhIJEI2m6XdbmuS4vf7dU9to9HQvYrS09pqtdjd3aXZbOp98/k8u7u7BAIB9vb2tFmTuBjn83mq1Sqrq6vkcjny+bz+fPKauVyOer1OIBDg3Llzfeuhv090WO/ow7YRDBpIfdTngkF14JN4PszoKZvNUiwW9e8p0TfDeobT6TSVSoVqtaqJ5ubmJuFwmEAggOM4rKys6JaXQqGAUopsNsvdu3dJpVLcuHFDk1lxs757964mpu12m2Qyqc2iJiYmWF1d1U7Xkg1rmpXJ52k2m0xOTrK7u6sl7TDcgViO70ql8oAEXTJkT3uh4tDR3etjjTiO8988xmuv0181nQE2zQ0cx9kEfvDee0WALziOU7y37qeBn7637svsS5llXH+bfeOnv/IY47IA/Y99ZWWFb/u2bzvh0VicFaysrPD5z3/+pIdh8RxhYWGBfD5PsVgkHo+f9HAszgCkYm8J7PMDn8+n3V0B3fMqEk8zQ9WsVknWZjAY1JUyeb3BLFhZLhVYyesU6aa8RqPRoNPp6OqW2cva6/W0i/HIyAjnz5/XVdpoNMrCwgJ+v5+lpSVmZmbw+/10u10mJycZGxsjmUxy8+ZNHbNjSlh7vR7tdlsb87RaLTY2NvD5fNq0yaIfd+/eJZfLEQgECAQCKKWGei5IHrn89js7OxQKhT5pd7PZpNfr6d+yUqkwMjKiJz6mpqZIpVIkk0ktN56eniabzeJyuXjllVeoVCpcvnyZO3fukEwm9fEkvdS1Wk1X1wHdH9tut6lUKtTrdXZ3d5mentbbmARWKsdSqW02m4yPj/d91mGy49OIQwms4zhdpdQnH/O13wJeUEotsF9Z/XPAnzc3uCcPzjmO0wN+gn1HYiHOCcdx9pRSrwCvAF+9t+4vA/8B8F339rN4DJgVWAuLo6Ber7O1tWUvCi2eKszJtldfffWER2NxFmAJ7PMHMc0ZvPAWUyZxf3UcR8uLTRmmGDnV63Ucx9H71Go1/boiB1VK0Wg0aDab+P1+3ZMaDodxuVx0Oh3tYAwQDof7qlkSkSJERpyPhTzL9h6Ph8nJSdbW1rRjsRg5CYEqlUqUy2V8Ph9+v59AIIDP52N8fFw76MK+IV4sFiMYDPZ9F8AD1cajLDPxpJ8fR1V3sJosN8dxiMfjxGIxLbtdWFh4oOpcLBZ5++23SSQSvP7665TLZZLJJADj4+NcvnxZO123Wi3Onz9PpVJhbm6OWq1GKBRiampKHz/yu0gF3+x9lpzZyclJ3fMcj8ep1WpsbGwQCoVYXl5mfX0dr9er+7Y3NzdJJBIopZienn7AjMlxHJ1fm8lkKJfLuN1uEolE33c17O/oNOIo9eH3lFK/CfwqoMX0juP8m8N2chyno5T6a8Dvsh+j80uO41xXSv0U8LbjOL8JfAb4GaWUw76E+K/e290L/P69g6fEfryOSIh/HrgLvHlv/b9xHOenjvJhLe5D8sEsgbU4Ku7evQvYi0KLpwtLYC0eFZbAPn84yHin2WwSDof74nWkb1UUHSIF9vl8utfU4/FoctputwmHw8B+pbZQKNDtdikUCtolVilFIBDA7XbrSqjcgsFgX1Ztt9vVBFaWe71eisUivV6PQCDQ1yvr8XioVCq6ejYzM8P09DSxWIy1tTXGx8e163GxWKTdbpPNZvH5fASDQXZ2drh+/TqwX5mWXl7zJmP0+/34fD4dP2NGyYh01Xx+0O0sQNyoZfKhXq8TiUSGSmer1arOXw2Hw1ruLb+9y+WiUqno7OBqtaonQ7LZrJ4Iyefz+Hw+nd3a6/XIZDKEQiFu3rzJ+vo6wWCQdDpNJBLh3XffZXV1ldnZWW7cuEE6nWZiYkJPoshkRbPZZHp6mkuXLpHNZlFKsbm5yfb2tnYvbjabbG1tUSgUSKVShMNhJiYmHnAbNo/304yjENgksAd8zljmAIcSWNh3DAZ+a2DZTxqPfw34tSH7Ndh3Ih72mqdblH2GsLCwYN09LY4Me1FocRKQ482eqyyOipWVFeLxOCMjIyc9FIunhIOyYEU2LEY7ApH/yjZC6qSXUPI7hRCaWbCwT4JzuRyTk5MAWkrq9/vp9XpaRmxG6QjpGB0dJZfLEYlE+mTOsN+TKCRSxigxO/JZ5P3j8TjxeJzx8fE+EiIV5Xa7zcWLF7WLcaVS0T2czWZTGwlJDmy329Xfm9vtxu124/F4+kirLJfHJpkdRnQfRnIP6qd91MeCwb7Qw9a1Wi1WVlaoVqtaDiz9w4MV6NXVVVZXVxkZGeH69eusrq5SrVbZ3NzvjHS5XORyOTKZDPl8HqUUW1tbjI2Nsbq6SrlcZnd3l1wuRzKZpFQq6cmPYrFILBYjm83qnmjYjysUKXsqlcLr9RKLxZienqZQKFCv12k0GrhcLlZXV2m326ysrLC7u4tSilKp1CeRTyQSOI7D1NTUoZPBrVbrgarsacRDyaDjOD/6NAZi8fQxPz/PH/3RH530MCzOCCyBtTgJjIyMEI1GrVrE4siwZnPPH4SMihxTpJhStZR8THFgle1gn3yKE3Gv16NcLpNIJHTfqhBa2CcC3W4Xv99PJpPR1TKpmIq0OJ/PUygUyOVyuhex3W7TaDSIRCJ0Oh1WVlbo9Xrcvn2bvb09SqUShUKBsbExstksnU6HYDBIqVSi0WiQTCYJh8OaHEoebaFQ0CZUQiSDwSC9Xq/P1GoYHMfRslch3IM3iZqRm/TTSmTMQVJjGC7dFZiPB82lzMcSO2M+HsRhrz+4XF6jVqtRqVR0JVO+AzHykm0ByuWydp4W6XapVKJarZLP5/H7/ayvr2v3aPmNarUauVyOZrNJtVoll8vhcrnIZDK43W7W19fZ3NwkFApx/fp1TT4dxyEUCpHL5XQszubmpq7E5/N5Wq0WSiltIjU6OsrMzAzBYJBPfOITbG1t0Wg0ePHFF/VnLxaLh+a7yu952jNg4QgEVik1A/wj4NvZr7z+AfDjjuOsH/PYLI4ZCwsL/Oqv/mrf7J+FxUFYWVnB7/frGWcLi6cBpZSN0rF4JKysrHD16tWTHobFU4SZBev3+8nlcoTD4b4KrBBSIQgiFW40GiQSCd3DWq1WGR0d1RJPM88zFArR7XZJpVK4XC7C4TDdble7/tbrdW2mk06nGRkZwev1sr29TSaT0f2Q8/PzfW7F+XyedrutZaISrVKv17l79y6dTodiscjOzg5wXwadTqdZW1vTcmghXuJOvLGx0ddzKWRusDoq6w6qmgK6L7fX62kptFRt5fuUWBegr6prbmMSXPP54DpzmWwry8178/1kH/P5Qa9ZrVbZ3t7GcRwCgQDNZlN/X4P7ra6ucufOHRqNhv6NpZItJDWfz+vcYHGmzmQyFItFnf/b6/X0sSjHUCqV4hOf+ARKKc6dO8fk5CS1Wo2Pf/zj3L59m1gspg28XnrpJS5cuIDf76fRaOA4DpOTk2xvb3Px4kWd5xqJROj1eg8Q0VarRTQaPfDv6KxkwMLRJMT/HPgy8GfuPf+he8u+57gGZfF0sLCwQLfbZX19XZs6WVgchJWVFebn5/U/QguLp4WFhQXu3Llz0sOwOAMQud/3fu/3nvRQLJ4ilNrP72w2m5pkut1unYNqSoiFlAy6CIt0t1Kp0Ov1tFy4WCwC6B5RqX7Ozs7ywgsv6Pf0+XwUCgXa7TbNZpPR0VFmZ2eJx+Nks1mq1Sp+v5+RkRFmZ2c1ker1eiilmJ2dZW1tTZOjarVKt9slEonoqp6ME/bNnvb29ggEAsRisT4CZ/bjSuV5kNANEsFh6wQHSXMPIpMP22/Y73fU/tmDqqxmpXaQlA++h8vlIp/Pa/foYDCI4zi88MILfX2/cnv77bcB+I7v+A6mpqaA/Wsit9vN/Pw8V69e5c6dO7qHdX5+vo9ker1e3njjDdLpNGNjY6TTaV577TXeeecdEomEbunzer1kMhlNru/evavNwBKJBNPT08A+Ee12u/q3bTQapFIpisWiJrGtVqsvIkfMxQ6rrg4aP51mHIXAjjmO88+N5/+7Uuq/Oq4BWTw9XLhwAYDl5WVLYC0eCivLszgpXLhwgX/7b/+tvhizsDgImUyGer1uz1XPISQLVtxhlVJa5mpWlITciIy4XC5r8hoMBrWRk8hwy+WyJiHiTlypVLScNhAI0Gg0iMVihEIhgsEg1WpV96JOTEyQTCaJxWK43W6CwSBjY2O43W4AXcW7ePEiFy9eBGBpaYk333yTubk55ubmuHnzpiZT8jqwT2r8fr823ZEe1VAohMvlYm5ujkgkMpSUDfatyr18RweRv8F1j4KjGjwN65F90rh79y7Ly8tEo1EdZXT58uUHKsbdbpfl5WUSiQRzc3N4PB7C4TBLS0ta0l0qlXRPsdvt1uZJkhUbjUa5fv06+Xye7e1tqtUqyWSSpaUlqtUqlUqFvb09ksmklrDPzMywsbGB4zi88cYbusoulW/pzV5bW8Pr9RKNRtnZ2WF0dFRLw00iOpgBOwzPWgV2Vyn1Q8C/uvf8P2Hf1MnijOPy5csALC4u8rnPfe4hW1s8z3Ach+XlZT71qU+d9FAsnkNcvnxZRwjMzs4+fAeL5xbLy8vA/Qlai+cHkus6eIHeaDR0NVXyYQEtN97b20Mphc/nIxaL6d7GcDiM4zjU63U6nQ4+nw+v14vX69VVsXa7TSAQoFQq6epoPB4nnU6zt7en81olvkYMlaRqC/uEolAo9I05lUoxMjKC2+3mypUrKKXY29u/9BZSJ72ugM4iFVJp9nkqpbS890nnwQ4juub9sGUP22bY+I5S4R1cdlAEkCkLzmQyxONx3UsqUUYm2u02d+7coVgssrm5ieM4RKNR7UQcCoVoNptaLhyLxahUKrpfWiml5cIi3x0bG+P8+fN8+OGHzMzMcO3aNWq1GhcuXOAb3/gGsViMRCKhe7jr9Tq1Wo1ms0mpVOL27duUy2XOnTtHrVYjkUjo3yAUCg3tZTUzYA+CSOyfFQL7F4F/DPwD9ntg//DeMoszjunpacLhMIuLiyc9FItTjmw2S6FQ0JMeFhZPE1euXAH2J9ssgbU4DPL/zJ6rnj+I867P5+sjR2KcJORVyJ30Kco2fr9fmx5tbm5qWa5E6ZhGTmKsIzE58rpCggG2t7d5//33abfbbG1t9RGeyclJUqkUbrebWq1GuVymUCho6a8Y8+zs7BCLxUilUkxPT9NoNJiZmdEkOBAIkM/nNaEWdDodTXoikYiOxjHdgQ+qoB7kFDxohDRYqZTl5jbD7g9b59yLthk2pqMsGxzvMFMoueVyOVqtlo4hmp6eZnx8XG8r31OtVtMTE3KLxWJkMhnGx8eZn5/XFdFisUg8HteOxvl8nmKxSKlUYm9vj3A4jN/v5/z582SzWe04vLS0xPLyMm63m8XFRaampnj//fdZWVkhGAyysbEBoON6ms0mY2NjvPTSS2SzWWZmZrRcXgg18MgV2Far9YBj92nFUVyI14DvfwpjsXjKcLlcXL58mZs3b570UCxOOeQYESJhYfE0IYY8N2/e5Lu/+7tPeDQWpxk3b97E5/PZtpjnEHKxLiS21+tpgijrG41GX+/r2NgYgCYpbreb8fFxut0uOzs7lEolbty4wfXr1zXpAXTmpxBYQLsTC0ENh8Mkk0lGR0epVqvcuHEDpRTZbJb19XVNOiuVinYylqosQKFQ4MaNGywvL2ujqXq9zvz8PPF4XEumG40GjUYDt9vdRwTF+CkQCPRVYAfNkuDhUTWDhGaYGdRhsTnmPoOvbToLH0ZUH1ZZBfoqzAdVX8Vcanl5mWKxSLlcptVqUS6XuXPnjnaeluiiXC7HH/3RH9Hr9QiHw0xOTlIsFlleXmZ8fJyNjQ2q1aqOypEIpWQyyebmJqVSCaUU7XabSCSiCaRUbJPJpI5rkomVkZERPUEyMTGBx+Oh2+3qiCa3283FixeZmJggn8/jdru1cZnH46FcLvf9TcD+JI3EIh0EiaE6CziQwCqlfvKgdYDjOM6XjmE8Fk8ZV69e5c033zzpYVicckhVwxJYi5PA5OQk0WjUqkUsHorFxUUuXbpknfWfQwgxEHlurVYjGAxqomjKIj0eD81mU5sy1et1ndUaiUSIRqPaUKdYLNLr9Wi1Wuzs7FAul9nY2ODmzZt0Oh0mJiZYW1uj2WxSLpd19qbIh0OhEAsLCywuLtLtdvF6vVy9epXp6Wm63S7VahWXy8Xs7CyxWEwTlXPnzukxl8tlUqkU6XSaTCbD5uamNpOSSBXpx4R9Ire9vd0nYx7sd4V+8mg6CIvsWLaR+0GyOUiEzW1NObC5r/kaw3BYxdYc3yAGK8TyPZqPpX+00+noSYRwOEy73dZEENCV6kAgoE2exsbGeO211wgEAty8eZN4PM709DRzc3NkMhkikQgej4crV65QLpdJJpPk83lSqRSpVIp2u83IyAitVku7X9frdaLRqHYvrtVq9Ho9IpEI7XYbx3G0Q7ZU0aXam0wm+eCDD1heXtbEc25uDhhuxtRoNHR01EFoNpt9xk+nGYed4atDloWBvwSkAEtgnwFcuXKFr3zlK9TrdT2LaGExiMXFRQKBgD45Wlg8TSiluHLliiWwFg/F4uJiX+6hxfMDuVhvNpsEg0Hy+TyRSET3l5oE1u12a2IrJHd0dLTvNWKxGOPj41SrVe0mLBJhMdqJRqN9DsQSqSP5rCsrK1oWvLOzQ6VSwe1289Zbb2lnYYDd3V08Ho+W0MotkUho2fH8/Dyvvfaazi9tNpsUi0Xu3LnD+Pg40WhUV52l0uY4DhcvXjzQqAnuE9fBSBvTJRkOJpQm8ZV1h7kZH9UBWd57WJV12Hqzwiy/scQfmZ9Xft9qtUoqldI9sJcvX8bn8+Hz+XRkEOz3yoqsd2pqCpfLhdvtJplMEo/HSaVS2ugrEonoHtRoNKr7ZaPRKNVqlenpacrlMpOTk5RKJaLRKJcuXSIcDjM+Pq6Pr5deekn3ZodCIRqNhjYX29raotlssr29TaFQIJFIcOnSJaLRqCaorVZLS8YFUsU/CMOMn04zDiSwjuP8rDxWSkWBHwd+FPgK8LMH7WdxtnD16lUcx+H27du88sorJz0ci1OKxcVFXnjhhUOlJxYWx4mrV6/yta997aSHYXGK0W63WVpa4gd+4AdOeigWJwCfz4fL5aLRaGizHHEilqgcIUFSYWy1Wprs+v1+XYWVyJFQKESr1aJSqTA2NobH4yGRSBAIBAiHw4yOjnLhwgU8Hg97e3vE43EdfbO8vEwqlWJqaop4PM7S0hK5XI5ut0u9XicQCGjiJfmz4l4st2q1ys7Ojo5NGR0d1Z9XKaWlxN1uF0BHqrTbbfb29iiVSnQ6nUO/N6WUrjjK/TC3YhPST/bxRZUAACAASURBVDxsnUiFD5MGP47LsClVPugmpG3wJoTe6/Xi8/nY3d3lm9/8JvF4nFAohN/v59KlS0OJtZDEy5cvc+XKFXq9HtevXyeRSHDu3DkmJiY0gXUcR2cDK6VoNBr4fD79+4msO5PJsLy8rPurV1dXKRaL7O3t0W63KZfLpNNper0eoVCIUCikTcI6nQ7hcJiLFy+yuLhIPB7XUniB9LIK5L0P638dZvx0mnGoxkYplQT+OvCfAr8MfNJxnPzTGJjF04FIQm/evGkJrMWBeP/99/n2b//2kx6GxXOMK1eu8C/+xb+gUqmcGYmTxdPFzZs3abfbfOxjHzvpoVicECTSZmJiArhPkCqVCl6vV0swzQibSCTC7u4uvV4Pj8eD3++nWq3qdb1ej0KhoM1tJEqnVqtpqaa40nY6Hdxut5aTSpTO5OQkExMTdDodRkZGaDQaFItFEokEsViMmZkZwuGw7vcXtFotrl+/zre+9S0ajYZ2iJUxuN1uve/8/HyfSdP29jZbW1t87GMf09U1ITLtdpter6ejgOSxKbUdrMIOkn+BkOdBPKwP1rw/KKvVJNcH9dAKRCosmbfmcvMeYGtri6WlJcbGxnAch7GxMf1bDuKDDz4gn89TqVS4ffs29XqddDpNNBrF5/PR7XbZ3t4mm83icrn0cVCr1ajVaoTDYer1OqFQSEcchcNhLRWemJjQkvBAIMDLL7/Mxz72MXZ2dkgmk8zMzBAMBrVJVDqd7jNqGiSvctwMyoeBQyXER3EpPk04rAf27wE/CPwC8LLjOJWnNiqLp4YXX3wRr9fLO++8w5/9s3/2pIdjcQqxt7dHOp3mk5/85EkPxeI5xic+8QkA3nvvPb7jO77jhEdjcRrx7rvvAthz1XOMQCBApVLRkTfdbhePx6PJosfj6SMqjUZD52tWq1VNMAqFAq1WSzsRS4SNEBafz6dlvICu+K6trbGzs6Nlvjs7O+TzeWZmZojFYiwvLzM5OamrtCI13tjYoF6v0+12CQQC+ubz+XjhhRd0HE4ikaDVatFqtbQ5lTgYm8RD3GpzuRyZTEbnwrpcLnw+n5Y1D6u0DiORJnk8SP47bNlRbuZ+goPkygdt9zATKvOxOAuL/FcpxaVLl4hEIg+Qa+lZjsfjvPTSS8zPz7O1tUUymWR8fJzz589rqXa32yUcDusKrOS9ynEmzsX5fJ6dnR1u3LhBs9nk7t27bG1tMTExQavVol6vc/PmTW7fvk2hUKBQKNBsNvXv5fV6mZmZYWpqikgkMpSUtlqtPkOwoxDYYX2zpxmHVWD/BtAE/gfgbxkHgWLfxCl2zGOzeArw+/288sorvPXWWyc9FItTCntRaHEacO3aNQDeeustS2AthuLdd98lFArZCJ3nGIFAgFwuR6/XIxqNUiqVSCaT7OzssLm5qeNIpAey1+sxMzNDq9Xixo0b7Ozs0O12yWaz1Ot1pqamdN9hr9frI7CtVotqtYrjOHg8Hi5cuMDW1hYbGxs6S3ZtbY2bN2/q11hfX9c9kbFYTEuCm80m6XSaRqOhZaVm9TGbzQKQTCbxer0Eg0FdRXYch2w2y8TERJ+xks/n09+FVGClqmoaHB0XhlVaD4rmeZzYlmG9uoNOy/JZpbrc6XTodDrcvn2b7e1t3fu8t7enpdriQtxoNMjn85porqysUCwWuXXrFisrK2xvb7O5uUmhUKBer7O9vU0ikcBxHAKBgF4/NTWFz+fTcmSRqft8PsbGxnj11VcpFArMzc1RKBQ4d+6clp2Hw2GuXbumo6EqlQrtdpv5+Xkd1zQIqaabRLRWq+kK70F4Zgis4zjDA6Isnjlcu3aNL3/5y7oPw8LCxDvvvAPAa6+9dsIjsXieMTk5yczMjJ1sszgQ77zzDq+88ort1X+OIRfozWaTZDJJLpejWCxqwiCERpyFRbopvbP5fJ5cLkc2m6VSqTAxMcHy8jK7u7s6c7XVanH37l3tOlwulwkEAng8Hi3PlX7MarVKNptldHQUl8tFs9lkc3OTcDisq7+O41CpVMhkMrrP0ZT8ttttHemTz+f7yJlSinq9Tjab5e7du9qMU4jsxsYG2WyWZDKpe0EHq66yvRDmYbmpg1XQg6qn5ramzNg0WoL7suNhplHmssFq7UFk1STlg7LodrtNp9PRfaitVot0Oo3f7ycQCFAoFLh9+7Yek7yH2+2m1Wrp42dpaYn19XW2tra0NFicgUdHR+l0OrotT1ynV1dXuXbtms6LzeVyKKVIp9Ps7e3x4osvMjExoXN+Ac6fP08oFKLb7XLu3Lm+vlWppB7Wy9putwEeILBmRXYYhhk/nWYcq8+8UurzwD8E3MA/cxzn7wysPw/8EjAG5IAfchxn/d66vwt8371Nv+Q4zr++t3yBfSOpJPAO8MOO4wwXrlscCdeuXePnf/7nuXXr1gP9FxYWX//611lYWCCZTJ70UCyec1y7do1vfOMbJz0Mi1OIVqvFH//xH/OjP/qjJz0UixOEXNg3Gg1GRkZ0VcskOWJ0JPEp4XAYpRQjIyMkEgl2dnZot9u88847RCIRLfVtNBp0u10qlQoul4tSqcT29raulAnxy2az5PN56vU69XqdW7dukc/ncblcrK+vk81mGRsbo1KpMDs7i9frpdPp0Gw2KZVKhEKhvvgXMUOSZWKg5HK5NIlttVrkcjkCgYDep9vtsrGxQT6f1z2XgxmwT6oCO2jYdFBF1dzuIOI7GIcj98NI61GcjgeNpiQq6dy5c9qYS6S5QvKl31kmQILBIAsLC6RSKRYWFgAYHx/nhRdeYG1tjUAgwPXr1/nUpz7F7u4uExMTLC0taSMlyQ9Op9MEAgFqtRper5fx8XEtNRa5eyAQoNlsUq/XH7juajabejLmIIis3SS5w15rEGcpAxaOkcAqpdzAPwG+B1gH3lJK/abjOB8am/194Fccx/llpdTngJ8Bflgp9X3AJ4FXAT/wNaXUbzuOUwL+LvAPHMf5ilLq59mP9fmnx/U5ngd853d+JwA/93M/x4//+I9z6dKlQ2d3LJ59iCRpaWmJ3/u93+OLX/ziSQ/JwoLv/M7v5Nd//df5lV/5FT796U8zOztrVSPPObrdLul0mt/5nd+hWq3y3d/93Sc9JIsThFRgpVI1NjamTW5ERipxJMlkko2NDV0VlGqdZK5OTk7icrmYmZlhaWmJQCCA1+vVMT1i0iTVViFNUsUSabEQ3EAgQDQaZW9vj2az2ZfnqpRib2+PkZERRkZGdA+vkCqRtUpvo+wjrsitVotEIsHo6Ghf5TQWixEIBDh37hzwYHSOPDbNj0zprTwXAj0scsespg4Sb/M9zAqsYFgfrWwzmCMrMCvFg726En9jRuFIVVv6iqvVKltbW1y4cIFAIKCr0YD+LeU119bWdL/sJz/5SeLxOOl0mpWVFSqVCouLi+zs7NDr9bh7967ut47FYiwuLlIsFtnY2MDr9eJyuSiXy/q7brVabG9vs7y8TC6X07+l9Fd3Oh3dny2Q7OLDJNeDBFYmXo5SgbUEdh9/ArjjOM4ygFLqK8CfBkwC+xLwX997/O+A3zCWf81xnA7QUUq9D3xeKfWrwOeAP39vu18G/icsgf1IuHTpEt/1Xd/FL/7iL/KLv/iL+oQ9NTXFuXPn9C2VSpFIJEgkEnqmMpFIEI/HCQQCj9XDYHH8cBxHG0qI3KlSqVAsFslms+zs7JDJZNjZ2WFnZ4ft7W19chZ8//d//wl+AguLfXzxi1/kS1/6Ej/yIz8C7Oc3zs7O9p2nJicn9UXg4PkqGo3qmXWL0wepbsm5Su7F9GTwtrm5yerqqpbMRSIRPvvZz57wp7A4SUifn5jnmPB4PLpv0OPxcP78eZRSzM7OahOmdrtNIBDQ/aSlUolUKkWxWAT2e1A7nQ6xWEw7Ci8sLDA1NaUJcDAY1EZO6XSaVqulTXzm5ubw+/3E43Ha7TZjY2Na6lqv12m329RqNU10hDS2Wi0KhQLb29tDCwwiLU6lUn0S4WKxiOM4mtjKd2QSP3jQCdh8LPvI88Fl5vLDnILNcZnPh73W4L6DhlPDYn/MnmCBSb7FFXh3d1dH1kg1WzAoWxbZcDAY1DEzt27dolAoMDIyQjKZJBaLUSwWKZVKZDIZqtWqPm+53W7a7TaNRoNsNquzX+VYvHr1KktLS4TDYV5++WWuX7+ue5dl8sOExC8dhmazqSvKAKVSCbhvNHbYfgf11Z5GHCeBnQbSxvN14I2Bbd4HvsC+zPgHgKhSKnVv+d9WSv0cEAI+yz7xTQGFe8RWXnN62JsrpX4M+DGAubm5J/F5nlkopfjt3/5t3n//fRYXF3WD+tbWFrdu3eJrX/ualj8c9hqSVSUW4YPPxVHPvEkm11GeywzW4AnrYSe0g9YPm907zE3vsGWD680ZTTENGDQSeNh9p9Oh0WjQbDYf6VatVh8gqw+TCUmItvRpfOYzn+HixYtcunSJK1eucOnSpUc+riyOBnuuOjqmpqZYWlrim9/8JouLiywuLuqepLfffputra2hF64m3G533/lp2GO/33/gOeko5y2zz+yjnKOGXZQ97jnqoGVy8fw45yi5l+rQo9zErMY8T4mr6mEQ98/x8XFeffVVvvCFL3Dx4kUuXrzIxz/+8TN1AXaWcJbOU+FwWBPOQZgVJvnbqtVq+uLe6/USCATo9XrMzs7y7rvv9hG+SCTC9va2rrzWajW+9a1vkc/niUajRCIRwuEwk5OTzM3N8dWvfpXJyUlisRhXrlxhZGREy1d7vR5zc3MEg0Ecx2FtbY1ut8v58+cfkMY2Gg3u3Lmj9x/s/czn82QyGd2LK+egXC5Hq9ViamqqrwI6SNRk2TAMVj/lftjtsG3MdcMwuI2QT/O5XFfJpJVZIT5onINkXGJuRFpuVo4B/R71ep3V1VUtzZbq+97eHqOjo7z00kukUik8Hg/vvfdeX/91MBgkmUwSj8d58cUXqdfrzMzMsLa2xvnz52k0GgQCAS5cuMCtW7cYGxvTlWyfz0c2m9UVWUGv16PZbDIyMnLgdwj7rtTSN12v1/syjg+CGHydJfXlcRLYYUfp4FX03wT+sVLqLwD/HtgAOo7jfFUpdQ34QyALvAl0jvia+wsd5xfYjwDi9ddfPz6btWcEXq+X119/nddff33o+mazqe288/l8332xWNQzW7VajWq12vd4b2+PtbU1PbvYbre101ur1dInIouHQ05Ch93Gx8e5ePGi/mcqjoeDj2OxGOPj44yNjREOh0/6oz23sOeqR8PIyAif/vSn+fSnPz10faVSeeBcJY8rlcoD5yfzfnNzU+c/DjtPdTqdoe9p0Q+Xy3Wkc1UymXzoeSoajZJIJJiYmGB0dFRXFSyeLs7SeSocDmuZ7uAFubjBAtqpd3DSKxKJUC6XuXr1Kru7uzq+ptFoEIlE+ia4pPdVrnVEory7u0sikSCTyeiK2O7uLo1Gg+3tbUqlkjZ5mpycxOv1asOgsbExLR0WOasUAcyqnEncJiYmdF+tyKcBXTmUcZv5sUJ0TXMn08VYMKzHdNCgCYabNh022T/4HmZ/rMAcz8OKDjIGWWbm3po36TOu1Wpa6mz21ArhFSffWCxGKpXixRdfpNPpUC6XuXjxIoFAQD93HIdIJEI8HicajTIxMaF/d5Hwlkol3XPtdrv1ZIr0p4oLsEw8RCIRQqGQJu7lcplarUa73SaXy+nrafO6ut1uc+fOHW0u5fF4iEQiTE5OchiG9c2edhwngV0HZo3nM8CmuYHjOJvsZ82ilIoAX3Acp3hv3U8DP31v3ZeB28AukFBKee5VYR94TYvjgd/vZ2JiQoeDP0k4jqNn8c2LxWHPhznOmTKbhz02l4n5wUGzho+6bPCxnDyG/aM46r15sSc26hYWFgdDTFdmZmae+Gv3er2+c9Ow81Sz2Tz03PQo5yipBDypc9SwZWbf2OOco9xut+4xkz4zj+dY/SEtLA6FTMhWKpWhBNbtdusexFgsRj6f7yNPsqxUKhGJRAgGg8zNzRGLxXj11VdRStHpdHTlViaNRQa8t7fHzZs3icVi2gHYrB42m022t7d1j6Xf78flcmkJ/dLSkh63eS2Ry+Xw+XxMTk5qlcawv8lgMKjfS4hxLpfT7yHXPmaF03xuSnUHc2APq7oOkyUfVnkdVmEd1vM6SIYHY3KGkdjB9zerqy6Xi2g0qntJZaLAVLvIhINIymWSYXd3V1dC2+02Ho9HR9RMTExopaCo4ZLJJIFAAL/fTzQaxe12MzY2xp07d8jn83zjG98gk8lQKBTIZrOk02kymQy3bt0ilUrx4Ycf6rEXCgW2trb0BCGgpcJer5dQKITP5yOfzzM9Pc3FixePfC62BLYfbwEvqH3X4A3gz3G/dxUApdQokHMcpwf8BPuOxKh9A6iE4zh7SqlXgFeArzqO4yil/h3wH7PvRPwjwP91jJ/B4ilAKaX/AG0l0MLC4rTCrCxaWFicTkgbwNraGuVymVgsRiQS0VVTl8ulJ80TiQS7u7u89957fVXOWq3GjRs32NjY0Ncl29vbvP/++xSLRbxer35N05kW9gmUKJw8Hg+jo6OcO3dO915GIhEcx+H8+fPs7e1pFVq9Xmdzc1PLmM3XE8l+sVjUVWRTDgz9FVmziri7u0utVtOvaZLAYVE1g5VT2WfY/TAMq6IeNPk+WGGVftWD+mvN6J9hkT8Ck3xLNVZaHaRPWirVpvEU0DfR0Ol02Nvb05MWbrebkZGRvtaJSqWCUkrHKoVCIXZ3d9na2qLT6VCtVrX8uFar8d5777G5uYlSSo8jnU5TKpUol8vAfo/2pUuXtEuyTBR6vV5efvnlPoMvE+12m0wmw8jIyCNNJDYaDZQ63N34tOHYCKzjOB2l1F8Dfpf9GJ1fchznulLqp4C3Hcf5TeAzwM8opRz2JcR/9d7uXuD37x2MJfbjdUS79d8BX1FK/S/Au8D/dlyfwcLCwsLCwsLC4mzhwoULbG9vUygU2NvbA9AX9Nvb29qpdnJykvPnz1OtVqnX6+RyObrdro46qVQqrK+vk8lkNBHa2dmh2+1Sq9XodDrcunWL1dVV7TYsBKZWq6HUfhTLpz71KWZmZqjX6/R6PUqlEi+99BKhUIhGo6FjehYXFwkGg6RSKU1apWq6u7vL7u6uNp+C+8RNlGxmVVIUIy6Xi1gsRiwW69tvmDR48PEwWe+wbQ6qnB4EIdmDVVhzbEJiTWJuft7B95Xvy5TUimxYqs6BQIBQKESr1aJer2sJsewjryHv1Wq1yGQyuN1uOp2OrszK+/p8Pvx+v5ah12o1EokE+Xxe9/TLRInf72dycpILFy6QTCaZnp7G5/PR6XR47bXXSKfT2ogrGAzy8ssvMzt7X8i6t7fH5OTkoWZMj1tJbTabZ07ld6w6H8dxfgv4rYFlP2k8/jXg14bs12DfiXjYay6z73BsYWFhYWFhYWFh0YdQKMSFCxdwHId6va773IvFIoVCQVczhdgIoRWZJ+yTIrfbze7uLqOjo1QqFd544w22trZYXl5mb2+P9fV1tre3ATTJ6fV6FAoF3U5QLBZZW1vTpmyZTIZSqcTu7q6u0spNKUU+nyeRSBAOh/tIoBDwsbEx3G63rqCavfnDpLb1eh2fz0cymeyLxhlWaZXXGLwffHyU6uxgVM+w7Q8aizwWAm/eBk3nWq1WXwuGWdGV71SqlY1Gg3K53FfRFTl2MBjUhFTaIorFonYInpiY6IvjCYfDWjJ869YtRkdHdX/sBx98wNjYGJ/5zGfodDpcunSJu3fvkkqldKLHwsIC2WwWgFQqRTabxe12U6vVcLvdBINB/Z2Jyd3U1NShx71UlR/mVDyIYf3ipx22UcXCwsLCwsLCwuKZg1L3ExLgfqWu0WjQ6/U4f/78Az3sQogALREVV9pOp0MikeDcuXPMzc3pnvuXX36ZeDze1+O6ublJt9vlzp07jI6O6kiVUqlELpejVCrh9Xr7HHDFcG51dVW3LIjTOaBlyGam52G9pmIUVa1W+0iNWdGU78WMlBlW9RS4XK4++bI8HyShpiR3GLEelDGbff/mdzJIsIWYijOw1+vVExByE8MqMxd20ERuMB/WzI2Vx++99x7pdJrPfvazD0TaCMQIMJVKsbe3RzgcplwuaxOmSqWi+679fr+WCUciEdbW1kgmk/pYi8fjbG1t6eNEUiWkd1e2PQj1er2vR/aoaDabRCKRR9rnpGEJrIWFhYWFhYWFxTMPqcYJIUgkEkN7BaWyWSgUdP9ip9NhdHQUQPeiJhIJisUiN2/e5Ny5c9qwJ5VKUa1W6Xa72sX23LlzAIyPjxMMBrX506A5pRAiqbpJxIlUHZvNJuFwWFcXh5ktmVLiQCBAuVzu65U1YVZMh5khmfsdJCk+rMfVHKcsM83jpApquiMLiRS3XpPID8aVmSRWHg9+J48L6V89jBBWKhVKpRLNZpN0Ok25XNayYRPSD5vP5+l2u2QyGTKZDC6Xi3q9zq1bt4hEIiwvLwP72b6RSERHJ8VisYe6sEs8z6NAJmwedb+ThiWwFhYWFhYWFhYWzwV8Pp/uFWw2m0MJrMvl0gQ1HA4TjUbJZDLE43FGR0cplUoEAgFGR0ep1+v4/X4ikYjue3Qch3g8TqlUotFocPfuXcLhMIlEgmQySSqVwu/3MzY2RigU0jLWQbIoFeN6vU69Xuf69evaGEokyrK9QEi6EMOxsTH29vZ44YUX8Pv92nFXCKVJ9mQfWT+MeA723w66Fpuy3EGCbT4+7RD5tRBjya8enGDY3NxkZ2eHcDisq6iSF/vmm29SKpX45je/yfr6uu57HR8fJ5vNks/nSaVS2jFaepVnZ2e5du3aAyZND0O9Xn/kLOx6vQ7QJ1k+C7AE1sLCwsLCwsLC4rmA6bQq1czDthVCBlAulxkfH+97jUAgQDQa5cqVK3S7XU1uRkZGyOVyrK2tUSgUePfdd3Us1vb2Nt1ul42NDVKplM4PDYfDBINBAoGAJpKS/ZpMJun1ejQaDT7+8Y/39cGaPaJi3iTPJX/UzB6FByuswzBIRAfdgA96PkzWPMwx+LCYHcFhZlCD2xzUS3vQcvmuGo1G332z2aRYLPLOO+/gdrtZWlrqiziT/mi3200+n6fX61GpVIB9J+DV1VX9e0rVNB6PMzs7qyvLkUiEy5cv88ILL5DL5XTF3uv1Mj8//8jkVQysHrWSagmshYWFhYWFhYWFxSnGIIF9GAKBgI5Qkf7FQCCg93UcRz92u926igZw8eJFTUSi0SjFYpFyucytW7e4desWN2/e1ARQ5K8iQ5Y+Tcmu9Xq9VKtVSqUSa2trWkZrEl3JhjX3kwrz/9/evcdGep33Hf8+w+UMZ4a3XV61XK26yt60DazIkFwlAqTATRSnBepGDoJc3NpJ0NRG3KYBVCCu28IJWjhoAjRpbCQwXNlNUtS5tYUCxHEMx5bgVlLkxvZq17LlXS6kXXKXu7wvh8O5kKd/cM7rw5czvOzucOYlfx/gxbx8LzPnfWfmEM+cc56ztrZGNpvd0L24XgbhcJ8fv1qvO3H8762SPoXrOwlIQ42eL0zaFI6bDafF8V2vw4RQYXdsH5DW41tRh4eHATbMde1/YEilUkxMTHDo0CEqlQp9fX2kUimWl5c5fvw4q6ur9PX1sba2Rk9PD0ePHo2SfVWrVZaWlnjhhRe4cuUKExMT3H///YyNjTE2NrarewREmZDD8dE7sby8HH1WkkQBrIiIiIgcCH66EDOLsrZuJZfLMTs7SzqdjlrZcrkct2/fprOzM2q1i89fGp6fSqU4depUtO2pp56KupDeuHGDGzdusLS0tCFpT9gd2T9vsVhkbm5uwzjYsEuuT8TkH32wNzU1xaFDhxgeHt50bL1uwvF1Lz7dTb1t/jXDBFHhMfUC2niip3rHARsCznC8b6Myhu9JGOz7ADQcNxuOve3s7Ix+rDh79iwnTpzY8N76rtAAi4uL9Pf3MzMzQ39/P4VCIQqSC4UC6XSaubk5yuVyNGWPv4ZDhw5FQfHp06d54oknGB0drfs52o4PYLfqUVDP8vLyroPedqAAVkREREQOhDAhz05aYP28rmFQk8vlokDRt86WSqW63TAzmUwU+HqpVIqRkRFGRkY4e/Ysa2trlEqlaJylH1/p56f1c86WSiUuXboUdVsOgz/YGBR2dHREwakfn5nJZDYFnPElnnk4vh4Gx+G43a3mcg3FMxrX66IcX8Lxur6l0K+b2YauzmGAHo71jWdCDrfFW3DX1tZYXl6O5oqdmZnZsM/PGbuyssJbb71FPp+P3rPp6Wlu3rwZtbT29PRQqVQYGBjg+PHj0Zjq3t7eaOqey5cvU61Wt50mp5G1tTUWFhbIZrO7akn1nznfypwkCmBFRERE5EDwAWwqldpxCyysdxuem5sDvjteMMz4u7KyUjeA7erqYnZ2tmELrS9LNpvdchyi7/Y6Pj7OzZs3qVarG4I7z8yiYKxarVKpVOju7ubGjRtREBvP1Lsb9eZ33S4zcaNswD54jG+rt77dMbvtmlxPGDBfu3Ytyj5dqVQ2TcuTTqcpFApkMhmGh4e5ffs2Dz/8MBcuXKBYLHLmzBmKxWK07dixY4yMjNR93VKptGUrqL9PlUolGqMb/uDhP8fHjh3b8vr8tfhz5ufnAXad+KkdKIAVERERkQPBdyGG9cQ31Wq1biZiL5vNRpl9K5UKS0tL5PP5qPUxnU6zsrJCsVjk8OHDm873SXUatdDulA+ezp49y8jISNRCuLKyQrlc3nR8OFXNqVOnuHHjRjQtTzwrsB9PG7Zm+i63jboSx+eRrdey2Sh5khfvblyvi3K99XjrcNiCWy8rcqPFdyP2XYv9tadSKV555RWmpqZ4+umnGwaXb775JkeOHImmUzp69Cjf+ta36O/vj34k8NmiDx06RKlUCNu0swAAFP9JREFU2jTfbbVa5fr16wwMDHDt2rVonw82/XjZ+H12zkXdn7u7u+nq6iKVSnHjxo3oxw5/bqVSibowhzKZTDT9U9IogBURERGRA8HMSKfTUcvfysoK3d3dDY9PpVL09vYyPz9PoVBgenqa7u5uenp6WFxcZG1tjXK5HGVzjfMtvo1aaO+k/EeOHOHIkSPRNj+2slQqUS6Xo8AlDIKOHDlCX1/fhmy7fikWixsSG4Xdkv1r1ptvNgx4w+AvXA8Xf3w84GyUwTg+vrdRt+Z6ra9+e5jAKbxfjR59gHjx4kXK5TKXLl3alLSqUqlQKBSYnJykq6uLYrFIOp3m+vXrvPLKKxw5coTLly+Ty+W4cOECt27diroVxwN73w15ZGSEq1evbrov4Y8IPuD2c+L6svgfVsJr94H5oUOHoimc/Hl+3O2djLVtFwpgRUREROTAyGQyUZKkYrG4ZQALMDY2xuzsLNPT07zwwgtMT0+Tz+eZnZ1lZmaGW7duceXKFQqFAoODg+RyuSibcNgC2yw+KA8zLG8lnpU3XPeLD359AOyn5vGBbrwV0T+Pf/TZf8PnjGdA3moKn70WBsRra2u8/vrr5HI5zp8/H92HcrlMuVymUqlEx2WzWaampqLPlA9Ue3t7GRkZYWlpKUoc5bNNh62/fvqckydPks/nt51bt9G+sDU5yYHpTimAFREREZEDwwcbHR0dUSC7lWw2y2OPPcbk5CS3b9/m6tWrlMtl1tbWKBaLURA7NTVFOp2OAthsNktfXx83b95kamqKhx56KErcE7aQ+QBkt+NR71TYvbjV4l2Pwyl76nVFrpepuJ74vYxnQ67XVdcHqgsLC1y5coXBwUGGhoYoFosUCoUNrcB+/Ony8jL5fJ7jx49TqVQ4c+YMTz75JAMDA/T29vLtb3+bVCrF2bNn65ZzcnKS7u5uHnnkkQMReN4rrf/kioiIiIjskUwmQ7VaJZfL7SiAhfWA6NSpU9F0NEtLSywuLjI/P8/Q0BCXL1+mt7c3mt9zcXExCnJnZmaoVqu8/PLL0dQpfvHdOn3Xzmw2G7Xc+mldwilewiVszas3FrTetnbju8ZuJWyx9VmAw1Zg31063OaPibci+67W8WRI5XKZlZUVqtUqCwsLvPHGGxw7dozJyUmAaMoi36V8eHiYoaEhRkdHGR0dpa+vj4mJCYrFIidPngSIkns1St4E613LM5lMW7437UwBrIiIiIgcGL5bb0dHB0tLS5ta57Y6r1Qqcfjw4Q0Jm1ZWVujr66Orq4vBwUEAyuUyy8vLUYvt9evXOXr0aDRe1meB9fOChl1s4bsthvExoj7ZUvwxTELkg61weplwPZyOpl7wG582BzaOQfUaZQwOuwZvdUx4zWEX5q26NsePC6cSim8P540NX89fS9gK7n9EyGazrK6uMjo6yuOPP87o6Ci9vb309fVFCZsaBdzlcjka87y6usr09DTOuS27qC8vL9+TsdEHTVMDWDN7F/DbQAfwKefcr8f2PwA8BwwBs8B7nXPXavv+E/APgRTwBeCXnHPOzH4K+DeAAyZr50w38zpEREREZH/wAYNPqrO0tERPT8+252UyGRYXFzcFvF1dXZw+fZqJiQnm5ubo6Oggl8sxODjI2NgYDzzwAFeuXOHUqVPk8/kNrYV+PtF6LYJ+Gpfw+DD5UjgmtVKpbAiAfaAXJjOKjzkN98HmbrbhMV48uZM/Px74ho9+fxich+fH54YNnz8eRMeXsEU6HFvqA1I/NjidTket2uE239rtu3x3dnby0ksvMTExwTPPPLNlN2ufwMsnxnrzzTfJ5XIbMkNns9mG09T493xoaKjha0h9TQtgzawD+ATww8A14FUze945983gsN8Eft8599/M7J3Ax4B/YmY/ADwBvK123FeAp8zsK6wHxOecc9O1IPdDwEebdR0iIiIisn+k0+kNyW/eeOMNcrlcNB2JX3ymVy+bzbK2tkapVNo09YjvRlooFCgUChSLRWZnZ6Mgc2JiglKpxMjISBRc+W7B3d3dG1oD4+Niw/lm4y2Sfr7XekmVtmvFhM3jTreaCic+5rTR/K5xYRAaBqXx7s7xbWErcryFOT6GOJz2Z6fjiX32Zj/GdWpqiuXlZcbHx+nv72dxcXHDDwjxaWnCzMblcpmZmRn6+vro7u4mm82Sz+fp7u5uWJaFhQWAbZOIyWbNbIF9B3DJOTcOYGafBd4NhAHsOeCXa+tfAv53bd0BXUAaMKATmKqtG5A3sxmgF7jUxGsQERERkX0mm81SLpc5c+YMs7Oz0RQ5YSulnyPVt9qtrq4yNzfH5OQkg4ODm1r/stks2Ww26kYMUK1WKZVKmBnz8/PMzs6SyWQ2zTu6VUIi+G4QWG/amngQ6Muz1fQ3jeZT3cnfu1HvnEbT12y1rd5UN865aJxxuG11dTWaTihsxfZZhFdWVqJW73DKID9FzcLCAocPH+bKlStRmcMfFzKZDN3d3VErbmdnJ4VCgc7OTs6dO1d33ljf0u7nDF5aWqJYLJLL5cjn87u+rwddMwPYMeBq8Pc14O/FjvkG8B7WW1V/DOgxswHn3Etm9iXgOusB68edc68DmNkHgdeAAvAd4BebeA0iIiIiss9ks1nm5+fJZrOMjY1F28MAxyf7KZfL3L59m1KpxNTUFOVyeVNinngrYfxxeHiYdDodBTA+qPXH+NbYeGbi8Dl9N9ywJTXsOlzvsZ2E86mGrbqNMg/Hp9yJX7sPVuP7gLpBe0dHR9SVuLe3N0qa1dXVRT6fJ51OUywWGR8f5+TJkwwMDGxo2a3Hl+XmzZssLy9TKBSiBF7h1DvVajU6J5VKkc/nGR0dVffhO9TMALbeOx3/Jj0LfNzM3g+8CEwAVTM7CTwEHKsd9wUzexJ4Cfgg8AgwDvwO8GHgP2x6cbNfAH4B4Pjx43d7LSIiTaG6SkTa3X6sp3K5HNPT05RKpSjxDhC1qtUbt+icI51OY2acOHEiatmLj1MNg8uVlZUN3XZ912HfOlgqlSgUChuy5IZdU0M+CAvn+/StreEY0HDx59Ubpxp2T46Pc633d7wVdKetpX693vU0GjfrkyzFj/PX5TMwh4F/Z2fnhjlR49mb4+OB4622YcZo5xxzc3N1k0qFXYp9wOynVvKtqT5Y7uzsjKZV8kv4eZM708wA9hpwf/D3MdaTLkWcc5PAMwBm1g28xzm3UKsoX3bOLdX2fQ54HCjWzrtc2/7HwK/Ue3Hn3CeBTwI8+uij7fUTlIhIjeoqEWl3+7Ge8kmbFhcXd9wKZmb09/czOztLPp/fdZfasCUxHkTFM/L61t9wvGU4HYwf6+qDqnK53HC86k66J2/Xxdg/Npqexx8TH+taL2CuNw42fnz4PP7vsKt1+Bjes0YB6k5bo69evUqpVKK/v3/D64Y/Dvgu4GH38aWlJYaGhnjwwQejMdbSPM0MYF8FTpnZCdZbVn8S+OnwADMbBGadc2ust6Q+V9v1FvDPzOxjrLfkPgX8Vu15zpnZkHPuFusJol5v4jWIiIiIyD7jW8Leeustpqen6e7uJp/PR11KGwWn/f393Lp1i4sXL5LL5aL5XOOJmeqd71tQt5v39E7FEz3Fp5PZybp/nkYJnHaS3Mkft1U5txK2GIcZjMOMxVsFzPWC60YBt+8u7rt2Dw8Pc/ToUe6///4Nx/lkWf5HBJ8lenl5mWKxSHd3N2NjY5uSe0lzNC2Adc5VzexDwOdZn0bnOefcRTP7NeCrzrnngR8EPmZmjvUuxH48658C72R9rKsD/tI59+cAZvarwItmVgHeBN7frGsQERERkf3p9OnTzMzMcPv2baanp7l58yawHgxlMplompVw2pV0Os3Y2BhLS0ssLy8zPz9fNyCLj2NtNK41nmyp3rLTJErNDpCTwgfjfhyqn5bIz78bjnH2x5pZNJXO6uoq4+PjG6Yuqtet28yiz8jAwAB9fX0tuNqDqanzwDrn/gL4i9i2fx+s/ynrwWr8vFXgnzd4zt8Dfu/ellREREREDpJ0Os19993Hfffdh3MuaoXzSZZ8C1uYgMczMzo7O+nq6qrbIulbQGFzd1dgQ+vebsRbFeu1OvrjthpfutNj7qXdZBoOW5HDxE1+3Gl8ahu/7ltIG40jDlvKw3lg/fjZVCrFyspKtJ5Op+np6Yla1sNHPx5a9l5TA1gRERERkXZnZtE0OHF+7tdwDGr4GI5FDadlqfcaHR0dGwLZ+P56QZ7fFwq704bHhc8bdsNtpFFQuVXypfj2nXY1bnSeL3e9+1JvHG24z7dup9PpDY++W7dPpORb0n337vi4Vo1ZTRYFsCIiIiIiDYRzvO5EmLE2zEwctiTGp34Jx6PGkw9tt62dNGoVbrRs1XU6vsS7YG81vY3sbwpgRURERETuER9wdXZ27tlrNmrh3G5bvIW1Xhfina4rmJS9ogBWRERERCTBmjl2VaTdqMO3iIiIiIiIJIICWBEREREREUkEBbAiIiIiIiKSCApgRUREREREJBEUwIqIiIiIiEgi2FaTG+8XZnYLeLPV5bhDg8B0qwtxh1T21khy2SHZ5X/AOTd0pyerrmoZlb01VPbWUD2VXEkuv8reGkkue8O66kAEsElmZl91zj3a6nLcCZW9NZJcdkh++Q+qJL9vKntrqOyy15L+viW5/Cp7ayS57FtRF2IRERERERFJBAWwIiIiIiIikggKYNvfJ1tdgLugsrdGkssOyS//QZXk901lbw2VXfZa0t+3JJdfZW+NJJe9IY2BFRERERERkURQC6yIiIiIiIgkggLYFjKzd5nZt83skpn9Sp39D5jZF83svJl92cyOBfveZ2bfqS3v29uS33XZV83s67Xl+T0u93NmdtPMLjTYb2b2X2rXdd7M3h7sa/U9v5uyt+yeB2XYrvxnzewlMyuZ2bOxfVt+3qR5VE+15jujuqpt77vqqTaluqptvzOqq5rgwNdVzjktLViADuAy8CCQBr4BnIsd8yfA+2rr7wT+oLZ+BBivPR6urR9OQtlrfy+18L4/CbwduNBg/z8APgcY8DjwSjvc87spe6vv+S7KPww8BvxH4NndfN60NO09Uz3Vunuvuqo977vqqTZcVFe19N6rrmrP+76v6yq1wLbOO4BLzrlx51wZ+Czw7tgx54Av1ta/FOz/EeALzrlZ59wc8AXgXXtQZu9uyt5SzrkXgdktDnk38Ptu3ctAv5ndR+vv+d2UvS1sV37n3E3n3KtAJbZrJ583aQ7VUy2iuqo1VE8lluqqFlFd1RoHva5SANs6Y8DV4O9rtW2hbwDvqa3/GNBjZgM7PLeZ7qbsAF1m9lUze9nM/nFzi7prja6t1fd8J7YqYzvf8+0k4d7vV6qn2vc7o7qqvSThvu9nqqva9zujuqq9JOG+b0sBbOtYnW3xlNDPAk+Z2deAp4AJoLrDc5vpbsoOcNw59yjw08Bvmdn3NK2ku9fo2lp9z3diqzK28z3fThLu/X6leqp9vzOqq9pLEu77fqa6qn2/M6qr2ksS7vu2FMC2zjXg/uDvY8BkeIBzbtI594xz7hHgI7VtCzs5t8nupuw45yZrj+PAl4FH9qDMO9Xo2lp9z3eiYRnb/J5vJwn3fr9SPdW+3xnVVe0lCfd9P1Nd1b7fGdVV7SUJ931bCmBb51XglJmdMLM08JPAhixmZjZoZv49+jDwXG3988DTZnbYzA4DT9e27ZU7LnutzBl/DPAE8M09K/n2ngf+aS3z3OPAgnPuOq2/5ztRt+wJuOfb2fbzJk2jeqp9vzOqq9qL6qnWUl3Vvt8Z1VXtZX/UVfUyO2nZm4X17GZvsJ4N7CO1bb8G/KPa+o8D36kd8ykgE5z7c8Cl2vKzSSk78APAa6yP53gN+Pk9Lvf/AK6zPqj9GvDzwAeAD9T2G/CJ2nW9BjzaRvf8jsre6nu+i/KP1rYvAvO19d5Gnzcte/a+qZ5qwXdGdVXb3nfVU226qK5q2++M6qrWlH1f11VWuxARERERERGRtqYuxCIiIiIiIpIICmBFREREREQkERTAioiIiIiISCIogBUREREREZFEUAArIiIiIiIiiaAAVtqemQ2Y2ddryw0zmwj+/r9NeL33m9ktM/tUg/1fNrNH7+Hr/Ubtup69V88pIntL9ZSIJIHqKtkPDrW6ACLbcc7NAN8HYGYfBZacc7/Z5Jf9I+fch5r8GgA45/61mRX24rVEpDlUT4lIEqiukv1ALbCSaGa2VHv8QTN7wcz+2MzeMLNfN7OfMbO/MbPXzOx7ascNmdmfmdmrteWJHbxG1sw+a2bnzeyPgGyw73fN7KtmdtHMfrW27e+b2f8KjvlhM/ufZtZhZp8xswu1Mv3yPb8hItJ2VE+JSBKorpKkUAus7CcPAw8Bs8A48Cnn3DvM7JeAfwH8K+C3gf/snPuKmR0HPl87ZysfBJadc28zs7cBfxvs+4hzbtbMOoAv1vb/NfAJMxtyzt0Cfhb4NOu/eI45574XwMz679F1i0hyqJ4SkSRQXSVtSy2wsp+86py77pwrAZeBv6ptfw34O7X1HwI+bmZfB54Hes2sZ5vnfRL4QwDn3HngfLDvJ8zsb4GvAX8XOOecc8AfAO+tVajfD3yO9X8AD5rZ75jZu4DFu7paEUki1VMikgSqq6RtqQVW9pNSsL4W/L3Gdz/rKeD7nXPFXT63i28wsxPAs8Bjzrk5M/sM0FXb/Wngz4EV4E+cc1VgzsweBn4E+EXgJ4Cf22U5RCTZVE+JSBKorpK2pRZYOWj+CogSCZjZ9+3gnBeBn6kd/73A22rbe4ECsGBmI8CP+hOcc5PAJPBvgc/Uzh0EUs65PwP+HfD2u7wWEdmfVE+JSBKorpKWUAusHDT/kvWxFOdZ//y/CHxgm3N+F/h07ZyvA38D4Jz7hpl9DbjIeleW/xM7778DQ865b9b+Hqs9j//h6MN3ezEisi+pnhKRJFBdJS1h613LRcQzs/cDj95tyncz+zjwNefcf93BsR9lb1LZi8g+oHpKRJJAdZU0g7oQi2xWBH7UGky6vRNm9v9Y7xbzhzs49jeA97LedUZEZCdUT4lIEqiukntOLbAiIiIiIiKSCGqBFRERERERkURQACsiIiIiIiKJoABWREREREREEkEBrIiIiIiIiCSCAlgRERERERFJBAWwIiIiIiIikgj/H3tfc4r//uwgAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm.set_data(times_sc)\n", "plot_transits(tm, ldc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Supersampling\n", "\n", "The transit model can be supersampled by setting the `nsamples` and `exptimes` arguments in `set_data`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm.set_data(times_lc, nsamples=10, exptimes=0.01)\n", "plot_transits(tm, ldc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heterogeneous time series\n", "\n", "PyTransit allows for heterogeneous time series, that is, a single time series can contain several individual light curves (with, e.g., different time cadences and required supersampling rates) observed (possibly) in different passbands.\n", "\n", "If a time series contains several light curves, it also needs the light curve indices for each exposure. These are given through `lcids` argument, which should be an array of integers. If the time series contains light curves observed in different passbands, the passband indices need to be given through `pbids` argument as an integer array, one per light curve. Supersampling can also be defined on per-light curve basis by giving the `nsamples`and `exptimes` as arrays with one value per light curve. \n", "\n", "For example, a set of three light curves, two observed in one passband and the third in another passband\n", "\n", " times_1 (lc = 0, pb = 0, sc) = [1, 2, 3, 4]\n", " times_2 (lc = 1, pb = 0, lc) = [3, 4]\n", " times_3 (lc = 2, pb = 1, sc) = [1, 5, 6]\n", " \n", "Would be set up as\n", "\n", " tm.set_data(time = [1, 2, 3, 4, 3, 4, 1, 5, 6], \n", " lcids = [0, 0, 0, 0, 1, 1, 2, 2, 2], \n", " pbids = [0, 0, 1],\n", " nsamples = [ 1, 10, 1],\n", " exptimes = [0.1, 1.0, 0.1])\n", " \n", "Further, each passband requires two limb darkening coefficients, so the limb darkening coefficient array for a single parameter set should now be\n", "\n", " ldc = [u1, v1, u2, v2]\n", "\n", "where u and v are the passband-specific quadratic limb darkening model coefficients.\n", "\n", "### Example: two light curves with different cadences and passbands" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "times_1 = linspace(0.85, 1.0, 500)\n", "times_2 = linspace(1.0, 1.15, 10)\n", "times = concatenate([times_1, times_2])\n", "lcids = concatenate([full(times_1.size, 0, 'int'), full(times_2.size, 1, 'int')])\n", "pbids = [0, 1]\n", "nsamples = [1, 10]\n", "exptimes = [0, 0.0167]\n", "\n", "ldc2 = tile(ldc, (1,2))\n", "ldc2[:,2:] /= 2\n", "\n", "tm.set_data(times, lcids, pbids, nsamples=nsamples, exptimes=exptimes)\n", "plot_transits(tm, ldc2, 'k.-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "
© Hannu Parviainen 2010-2019
" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 }