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@neworderofjamie
Last active May 15, 2023 13:09
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{
"cells": [
{
"cell_type": "code",
"execution_count": 12,
"id": "90822262",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib widget\n",
"import matplotlib.pyplot as plt\n",
"import math\n",
"\n",
"isyn = [0] * 1000\n",
"for i in range(5, 1000, 75):\n",
" isyn[i] = 10\n",
"tau_mem = 20.0\n",
"u_leak = -70.0\n",
"dt = 0.1"
]
},
{
"cell_type": "markdown",
"id": "0127b85a",
"metadata": {},
"source": [
"If you use the GeNN built in `ExpCond' postsynaptic model, the synapse equations will already be solved and your synaptic input will be incorporated into $I_\\text{syn}$ meaning that the neuron equation ends up being:\n",
"\\begin{align}\n",
" \\tau_\\text{mem} \\frac{dU}{dt} =& (U^\\text{leak} - U) + I_\\text{syn} \\label{eq:neuron}\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"id": "975700b2",
"metadata": {},
"source": [
"## First order Euler\n",
"This is the simplest way to solve Ordinary Differential Equations and works quite well if the function never gets too `steep'. Basically all you do is add the derivative i.e. the slope to the last value you have so for equation:\n",
"\\begin{align}\n",
" U(t) = U(t + 1) + \\frac{1}{\\tau_\\text{mem}}\\left((U^\\text{leak} - U(t-1)) + I_\\text{syn}(t)\\right) dt\n",
"\\end{align}"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "115afe2b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f2764256fa0>]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "33bef10c809644cbb990b5c7159aad21",
"version_major": 2,
"version_minor": 0
},
"image/png": 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",
"text/html": [
"\n",
" <div style=\"display: inline-block;\">\n",
" <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
" Figure\n",
" </div>\n",
" <img 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' 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" </div>\n",
" "
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"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
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"source": [
"u_euler = []\n",
"u_euler_last = u_leak\n",
"for t, i in enumerate(isyn):\n",
" u_euler_new = u_euler_last + ((1/tau_mem) * (u_leak - u_euler_last + i) * dt)\n",
" u_euler_last = u_euler_new\n",
" u_euler.append(u_euler_new)\n",
"\n",
"fig, axis = plt.subplots()\n",
"axis.plot(u_euler)"
]
},
{
"cell_type": "markdown",
"id": "8fac05f2",
"metadata": {},
"source": [
"## Exponential Euler\n",
"Honestly, for now I think you should stick with the first order approach as it's almost certainly good enough but, for reference and because some of your code was doing something *similar* I'll explain it a bit. Basically this is following the approach described by http://www.ncbi.nlm.nih.gov/pubmed/10592015 (who call it something different).\n",
"\n",
"Basically you start by re-arranging your equation into the form:\n",
"\n",
"\\begin{align}\n",
" \\frac{dy}{dt} =& Ay(t) + x(t)\n",
"\\end{align}\n",
"\n",
"and then you can calculate your update from time $s$ to time $t$ with:\n",
"\n",
"\\begin{align}\n",
" y(t) = e^{A(t - s)}y(s) + \\int_{s+}^{t} e^{A(t - \\tau)} x(\\tau) \\,d\\tau\n",
"\\end{align}\n",
"\n",
"Where $y$ is your state variable, $x$ is your input (could be a time varying function) and $A$ is a constant (the whole thing extends to state _vectors_ and matrix $A$ but that is not super relevant here). So, in our case our equation is re-arranged into:\n",
"\n",
"\\begin{align}\n",
" \\frac{dU}{dt} =& -\\frac{1}{\\tau_\\text{mem}}U + \\frac{1}{\\tau_\\text{mem}}\\left(U^\\text{leak} + I_\\text{syn}\\right)\n",
"\\end{align}\n",
"\n",
"so $A=-\\frac{1}{\\tau_\\text{mem}}$ and $x= \\frac{1}{\\tau_\\text{mem}}\\left(U^\\text{leak} + I_\\text{syn}\\right)$ \n",
"\n",
"Then we can calculate the timestep update from $t - dt$ to $t$ with:\n",
"\n",
"\\begin{align}\n",
" U(t) = e^{-\\frac{dt}{\\tau_\\text{mem}}}U(t - dt) + \\int_{t - dt}^{t} e^{-\\frac{t - \\tau}{\\tau_\\text{mem}}} \\frac{1}{\\tau_\\text{mem}}\\left(U^\\text{leak} + I_\\text{syn}\\right)\\,d\\tau\n",
"\\end{align}\n",
"\n",
"I'm intentionally doing this for the more complex neuron equation where there is $x \\neq 0$ - for lots of the synapse equations, $x = 0$ so you don't need to do the integration at all. Nonetheless, it's pretty straightforward if you get all the signs right. Many of the terms inside the integration are constant with respect to tau so you can rewrite:\n",
"\n",
"\\begin{align}\n",
" U(t) = e^{-\\frac{dt}{\\tau_\\text{mem}}}U(t - dt) + \\frac{1}{\\tau_\\text{mem}}\\left(U^\\text{leak} + I_\\text{syn}\\right)e^{\\frac{-t}{\\tau_\\text{mem}}} \\int_{t - dt}^{t} e^{\\frac{\\tau}{\\tau_\\text{mem}}} \\,d\\tau\n",
"\\end{align} \n",
"\n",
"Note $e^{-\\frac{t - dt}{\\tau_\\text{mem}}} = e^{\\frac{-t}{\\tau_\\text{mem}}}e^{\\frac{dt}{\\tau_\\text{mem}}}$. Then we just need to integrate ($\\frac{1}{\\tau_\\text{mem}}$ terms cancel):\n",
"\n",
"\\begin{align}\n",
" U(t) = e^{-\\frac{dt}{\\tau_\\text{mem}}}U(t - dt) + \\left(U^\\text{leak} + I_\\text{syn}\\right)e^{\\frac{-t}{\\tau_\\text{mem}}} \\bigg\\rvert_{t - dt}^t e^{\\frac{\\tau}{\\tau_\\text{mem}}}\n",
"\\end{align} \n",
"\n",
"Now, substitute in the limits:\n",
"\n",
"\\begin{align}\n",
" U(t) = e^{-\\frac{dt}{\\tau_\\text{mem}}}U(t -dt) + \\left(U^\\text{leak} + I_\\text{syn}\\right)e^{\\frac{-t}{\\tau_\\text{mem}}} \\left(e^{\\frac{t}{\\tau_\\text{mem}}} - e^{\\frac{t - dt}{\\tau_\\text{mem}}}\\right)\n",
"\\end{align}\n",
"\n",
"And finally re-arrange:\n",
"\n",
"\\begin{align}\n",
" U(t) = e^{-\\frac{dt}{\\tau_\\text{mem}}}U(t - dt) + \\left(U^\\text{leak} + I_\\text{syn}\\right) \\left(1 - e^{-\\frac{dt}{\\tau_\\text{mem}}}\\right)\n",
"\\end{align}\n",
"\n",
"You can pre-calculate the $e^{-\\frac{\\tau}{\\tau_\\text{mem}}}$ (using GeNN derived parameters) and the solution is hardly any more complex than the forward Euler one."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "1d43125d",
"metadata": {},
"outputs": [
{
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},
"execution_count": 18,
"metadata": {},
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",
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" Figure\n",
" </div>\n",
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MK8efN4/PHHm2wlNmTIEIqKili1apU52Rs2bBhff/01YWFhtaZLu3TpwpdffklKSgq7du3izjvvxM3Nrcn4HnnkET777DOWLFnCiRMnmDdvHkePHrXoe7t8+TJZWVm1vqrWDo4YMYK9e/fyxRdfcPLkSebNm1cnIawpJiaGO++8k7vvvpsff/yRM2fOsHv3bhYsWMDq1astikcQ/j/QF2Zzbs0b6EuuODWOKXmf8I36FYpT1js1jr1SN/SygvbGTK5knnROEAoVb+tv4h39TfxUcQ37M5z0byPXLnt1eucq58TRhokEULBYu3bt+O2339i9ezeJiYnMmjWLmTNnMmfOnCbP9fPzo3v37gQFBREXFweYkkKj0Vhr/R/Af//7X65cuULv3r2ZOnUq//znPy3aIfu3v/2NuXPn8vTTT5OUlMTZs2e5//77LfreRo0aRVhYWK2vqk0qY8aMMT/uNddcQ1FRUa1RxvosWbKEu+++myeeeILY2FgmT57Mnj176mxAEoT/z05/9U8idr1A7qc3OjsUAG668hkleRec9vxP6j9BJZkSn7N7nJPwGBUq3tbfwlv6W6jAhS0nLjkljquX1RhPOTc5b4sk2RGL3/6fKiwsxMfHh4KCAry9vWvdV15ezpkzZ+jUqVOddnaC8L9G/LwK9lD8Ukc89fmm/5nvvHpvRxYMpZv2oOnvfV+j2/j7nBJHzvxOBGPqdHXYawg9nvjV4TGUaPV0nfcHCoz0lE4x1i+Te59ueB2+vZw8uJUuP08w//9lfPF//jSSg3ZHN3b9bivECKAgCIJgF6c9rwFghWEIBWUt69bTElKNcQ79yXXOi4Ma696K9iIbHP+ayEYDXaTz9JRO8YP639xb+ilXMh3f6tOocmO3MZYt9KZU1hBAPhdO7HN4HG2ZSAAFQRD+n7mSfojsBYlkbFri1DjKlKad+ufkQLafanojl/1UJ14dr+wCJ7VdrEoAl+jHMLr8VVKyyxweg1xRwlrN0/yomc9JpalIvjOmo8t9OjOlYh7Pus7luKupHFbWfrFG2pFEAigIgvD/TN7aNwnRptNh06NOjaMq4ZFlic1OWmtmUp0A+lHAheO7nBgLbHQbzUUC2HLS8a9JzVVfOcGDTH9Ja7zcml3iqPH3rC638ZLuTlaU9nR4HG2ZSAAFQRD+nylWB5r/XnL5vPMCqUw27lKt5bqjzzhlyhPg6mqbF/f/5qQ4TK9HUqQ/gFM2YNRMAD27mkpyRTlhOroqDkmCDgNuZbFhAr9kuFGhd87obFskEkBBEIT/Z8pcfM1/P73jF6fFccB3NHN10wmSChlp3M65I1udEscfbhN5SXcnv7reAIDHuU1OicOcAHb0Z4ZyDfeem01pgYOTwBoJYEzvoRTIHnhTQnqyY2sTuuYms0dzPx9rnyEhzJsADzUlFQbnlaVpg0QCKAiC8P9N5UX+suzF99p+Tgsj3TORLw2jWWUwFV++dMA5I2/b3a5lsWECOQnTAfApz0SrbbpHuK0ZUJrqAAZ4crd6E8MUBzi9y8Hr72rU39Oo1Zzw6A3A5YOO/beRDBUESQX4ygUoFBJjO6m4WbGF3G1fODSOtkwkgIIgCDYi68rI+OpBLu1z3qgbwCXvrnykn8h83TTWnyx0SKvL+lTttdjv0gsAn8zNTomj6tsP75TA7ao3GKh9h33nih0ex2jFJ0Rrv0LnH0tmwEAAKlIdW/9OrrEBRpIUaDsOB0BzcY9D46j6R5ErJ+gn+pzmDfV/6JH+mWPjaMNEAigIgmAj6Tt+pMOprwj69e5aU22OluXTi1f1t/OrcSCZ+WWcynF8sgMQVH6GQYpkfDt0AyCq4gSl+dkOj6O9Pp1e0klcdIWExfRBRsFmZ2zAqPxTksA1bpQptrztDv1ZMco1E0CJ8P63cpN2PlOKn6CswtDImTZmjsOUAHbuNx6DLNHBkMGVi2ccF0cbJhJAQRAEGynWVW83uJTmvJpmcmWqESdl8C/V12Rv+NApcQzJ/Zav1Qu4RkrhlNQRhSRzZpfjS33cX/AOP2nm4Z+7h6ExQQBsSXXGBoyqv0nE9BtLuexCsHyZi6cOOiwGo8qVj/UT+Fg/AUmS6NQhgmyfRMoMEjvPXHZYHFU/o1UjgEHBYZxUmVqCpu92fIHstkgkgIJQj8jISN5++22Lj//888/x9fW1WzxVpk+fzuTJk+3+PELzGBUu5r9n7lnptDhcKgrpIGUzTHmIe1WrCTu9wilxmAsfSwouBpqmPHWpa50QSdWOU4lrowNZ6PIpS69M5fLZFIdG8bL8Dh+7vImq5CLeXt4c13QH4MI+xyXFsosnC/R3skB/J5JCgSRJDIkx7Rrf7MCkWDbWHfW8FDoYAOmU84p1tyUiARRqmT59OpIk1fkaO3ass0Ozi4YStz179nDvvffa9Lnqe10lSeLbb7+16fMITlRjKu+nkh5OCyP+wo9s0TzGaPcTAHSqOEHJlSzHB1JV6gNwix+DTlZypdDxLeFqJqL+nhq6anIJlvLJ2OPYkaYh8n7GKPei1JcCUNRuCACuZzc6LAaZ6vIrVUZ1VPGS6r/ccvDvDpuOrlqXapSq0xDfxOsB6Fy0B6OuwiFxtGUiARTqGDt2LBcvXqz1tWzZMmeH5VBBQUG4u7vb/HGXLFlS57V15IieLMvo9XqHPV9bo1e5k2LswC+GgfyQ4em8mmaVF1e9ewgnpUjT1OtOZ0yrVSVeErH9xtBH9ykzih/k7OUSJ8Ri+hAGkB9uSrxUZxyXeEHNRNTU7za49wQqZCWXSo1U6By0/s6gp72UQzuqR/v6xrTnZuVfdDMe53yqY5YuGFTuHDFGkqGIMN8W13sIl2VvvCgl7YDji1O3NSIBFOrQaDSEhobW+vLz8wNg06ZNqNVq/vrrL/Pxr732GsHBwWRnmxZ3Dxs2jIceeoiHHnoIHx8fAgMDmTt3bq2diFeuXOHuu+/Gz88Pd3d3xo0bx8mTJ833V43M/fHHH8THx+Pp6WlOTGtavHgx8fHxuLq6EhcXx4cfVq91Sk9PR5IkfvzxR4YPH467uzuJiYns2LHD/L3MmDGDgoIC82jc/PnzgbpTwG+++Sbdu3fHw8ODiIgIHnjgAYqLrV9Y7+vrW+e1dXV1BWD+/Pn07Nmz1vFvv/02kZGRDT6e0WhkwYIFdOrUCTc3NxITE/nhhx/M92/atAlJklizZg1JSUloNBq2bnVOLba2ID/oGsZVLOQR3UOUVBjYm57npEiqE88LQaZpNcOJP50QR+U6L0mBl4c7cR3DAccXQJauGvXyTxwHQHTJPgwVjisHo6iMQ6EwBdIloQ8jVUuZrn2SvWcdU/9OKs1lq+ZRNqkfM9/m5eVNimtPALL2OmYHe3FAN66veIUX3J813+aiUnHKux9GWSIzxbndWtoCkQA6Q0VJw1+6ciuOLWv6WBsbNmwYjz76KFOnTqWgoIADBw4wd+5cFi9eTEhIiPm4pUuXolKp2L17N++88w5vvvkmixcvNt8/ffp09u7dy8qVK9mxYweyLDN+/Hh0uupq9KWlpbz++ut8+eWXbNmyhYyMDJ588knz/V9//TXPP/88L7/8MikpKbzyyivMnTuXpUuX1or5ueee48knn+TgwYPExMRw++23o9frGThwIG+//Tbe3t7m0biaj1+TQqHg3Xff5ejRoyxdupQNGzbw9NNP2+plbbYFCxbwxRdf8J///IejR4/y2GOPcdddd7F5c+1yG7Nnz2bhwoWkpKTQo4fzpibtyqBz6s5bqH56T0oZp9hF3tb/OimQyj8lCY8E0/KNjld2IhsduMsTkMxTwKaEZ2isaQPGruPpDo6jKiE2XfJiEweSgx9uaEnb+7vj4jD/w5jiUCgV9IvrAMCG4zkOiUG+qvxKldKOIwHwPOegkbfqweFacq95gmu0H/JW0UjHxNGGqZwdQJv0SnjD93UZDXd+X/3/i6JBV1r/sR0Hw4wai4ff7g6lV+3imm/9eptVq1bh6elZ67Z//etf/Otf/wLgpZdeYu3atdx7770cOXKEadOmccMNN9Q6PiIigrfeegtJkoiNjSU5OZm33nqLe+65h5MnT7Jy5Uq2bdvGwIGmheFff/01ERER/Pzzz9x6660A6HQ6/vOf/9C5c2cAHnroIV544QXzc8ybN4833niDm266CYBOnTpx7NgxPv74Y6ZNm2Y+7sknn2TChAkA/Pvf/6Zr166cOnWKuLg4fHx8kCSJ0NDQRl+TRx991Pz3yMhIXnrpJWbNmlVrxNESt99+O0qlstZtx44do0OHDlY9DoBWq+WVV15h3bp1DBgwAICoqCi2bt3Kxx9/zNChQ83HvvDCC1x33XVWP0drIevKyH+tJ2XuYYQ/urHuVcVBjJUX1+6KM3ykfofLZ/3A+BQoHP1Z25wBEt93FMUb3fCVCsk8toN23QY7Po7Kf4/hka4MUs8hLv0c2pJTaDx8HRhLdRwqlZJTPgMILviNwsO/wcDJDg6j+udzRFwwP+w7z4GUVJgQb/efXbkyGb76o1L7vpPgxAKiy49RWpCLu09g3ZNtGUfln9JVieg1PXtx+bc8Lp8v4FKRliAvjV3jaMtEAijUMXz4cD766KNat/n7+5v/rlar+frrr+nRowcdO3bkrbfeqvMY/fv3r/UmN2DAAN544w0MBgMpKSmoVCr69avuUBAQEEBsbCwpKdW78tzd3c3JH0BYWBg5OaZPySUlJaSlpTFz5kzuuece8zF6vR4fH59asdQc8QoLCwMgJyeHuLg4y14QYN26dSxYsIDjx49TWFiIXq+nvLyc0tJSq9YKvvXWW4waNarWbeHhjXwgaMSpU6coLS2tk9hVVFTQq1evWrf16dOnWc/RWmSfO0WoLgu/gizyLufgHxjS9El24J+9jY3qZzmv7kSxzpUArpB1Yjehcf0dGkf1RV7Cw92NPW696VB2lJQTJxyaAO71GsXvl0Po6mvqNhHXsR3nFGVo0HFs5yoSRt7lkDh+04xDX5DFIK9I823KmNGw5zfCcrY4JAaouQaw+r1xcHQAP6j/TZ+SVC6c3Eh4TG+7xlC9FKd24tWxcxxnpAg6cY5jO3+lx5gZdo3DM3svW9SPkFXSEaguhh3s7Uq3dt4cySxkS2oON/eJaPhBhBYRCaAz/OtCw/dJtUeHeOpUI8deNarwaHLzY6rBw8OD6OjoRo/Zvn07AHl5eeTl5eHh4WGT567JxcWl1v9LkmR+86paf/fpp5/WSiSBOiNsNR+nKik1Gi1fnJ+ens7111/P/fffz8svv4y/vz9bt25l5syZVFRUWJUAhoaGNvjaKhSKOh0bak6JX63qNVi9ejXt2rWrdZ9GU/tTsz3+ff6XGGTTv2ux7MrGszputu/gRYMUulI6KbLRSgEcc+1NX+12Lu791eEJoFnlz/uxaxZw69pzDMkPZlQTp9jSUc/+/GrowFyfhMpwJDICBtPh8veUH1sDDkoAf9eM5ZihkCTvSPNtXQZO4uiut/hL34NJeQWE+fs0/AA2cvVaRABvNzVKN2/QwoU9P9s9Aby6A4c5NkkiM2gwnXKWoTv+B9g5AVQYyuiguITeWPe96Y7wbCJz3sB1UxD0cV45pf/vxBpAZ1B7NPzl4mrFsW5NH2sHaWlpPPbYY+bka9q0aXUSql27ai/g3blzJ126dEGpVBIfH49er691zOXLl0lNTSUhIcGiGEJCQggPD+f06dNER0fX+urUqZPF34tarcZgaHxd1L59+zAajbzxxhv079+fmJgYLlxoJIlvpqCgILKysmolgQcPHmzw+ISEBDQaDRkZGXVeg4iItvWpuea6JketpaqPJBsq44DSyhZbnuccu9MUINszgc/1oznjaUomBnSLAiR2nr7s0G4PVf8uihq5hqbreAA6Xt7qsDWJxhrlaKr4+/kzN/QjFupvZ+NJx5SmSTIsIaZ8KUbv2r+fJR1MPyseGfb/Wal6rzZSd6rZo9t40o0hHCj0tn/7wKrf2XqmvHtGhjBQeYzY4l3otWV17hdsQySAQh1arZasrKxaX7m5uQAYDAbuuusuxowZw4wZM1iyZAmHDx/mjTfeqPUYGRkZPP7446SmprJs2TLee+89HnnkEQC6dOnCpEmTuOeee9i6dSuHDh3irrvuol27dkyaNMniOP/973+zYMEC3n33XU6cOEFycjJLlizhzTfftPgxIiMjKS4uZv369eTm5lJaWne9ZXR0NDqdjvfee4/Tp0/z5Zdf8p///Mfi56gpPz+/zmtbUmLarDNs2DAuXbrEa6+9RlpaGh988AFr1qxp8LG8vLx48skneeyxx1i6dClpaWns37+f9957r85GmP/vaq5r2nsiA522gXWz9g+k8i8S7fua1sVGlR+jvDDXoWGk+w1gvn46yX6m8b4uwZ6083VDp9ez53iaw+IIqjhHb+kE7trq7z+h/1iKZVcCyOf8sZ0OiaOdIZM4KQOlvvbGuBFxwYDjNmBUyEoqcKm1PAagXV/T+16X8iOUFtp553gDI4AA8f3HM8b4Di+VTCI1u8iuYRgbmIoGiO05kEv44kE5p/aJotD2IhJAoY7ff/+dsLCwWl+DB5vWDb388sucPXuWjz/+GDCtqfvkk0+YM2cOhw4dMj/G3XffTVlZGX379uXBBx/kkUceqVVYecmSJSQlJXH99dczYMAAZFnmt99+qzPt25h//OMfLF68mCVLltC9e3eGDh3K559/btUI4MCBA5k1axZ/+9vfCAoK4rXXXqtzTGJiIm+++Savvvoq3bp14+uvv2bBggUWP0dNM2bMqPPavvfeewDEx8fz4Ycf8sEHH5CYmMju3bsb3JVc5cUXX2Tu3LksWLCA+Ph4xo4dy+rVq616Df4/qBqt8JbK+Iu/c3rr902cYac4zH8q6Nw5ljSpA0pJ5rSDa/DJVy01kySJh0KT2a15AO8N/3JYHBNz/8uPmvlE5lRfxD3c3UlxTwIge59jSo7MKVnA75rZeF8+VOv24XHBaKhAcWot5SX2HwW8+t+lSmR0V9KldqgkI6d22HfK0+jiwZf6UfzAiDr3uapVDOwcAMDG43Yu1VNjnerVlEolaT6mjW2Fyb/ZN442TJLtPs77/1dhYSE+Pj4UFBTg7e1d677y8nLOnDlDp06dzHXe2ophw4bRs2dPq1qpCc7V2n9ez6YepOOy6l3PhwPG0uPh5Q6PY/9vn9F792McVXen67+2svmD+xl66Ru2Bd/JoAcc14/3vTUH+GLzUSZd04U5N5vWyO7f+hu9191OIZ54zU1HUlr+Yau59r8+kd7FW9gV/yz9/jbbfPvW795i8LH5pLl0ofNze+0eR/oL3Yk0ZnBk1Jd0G1xdsUCWZU69kEgX+SxHrv2IbiPvsGscP82dgISRAQ8tISSkduWBbR/cx6BL37LPbzxJj9iv8P7ZyyUMXbQJD7WSoy/U7fD05Y50XvjlELe0u8KCh6fbLY5DG74jccs9nFJ2Jnru/jr37171X/rufZwMRXs6PH/U5s/f2PW7rRAjgIIgtHpGFzfWGpK4KJt2q3e4vB0cXPMOQDYXYDaNash972NQ+Ts8V3KrQ+O4JvML9rg+yKiLH5tvS7hmFPmyJ94Uk37QMesSpQam+SL738gqQz8+KLuOglJHtPyqf+hNkiRy/K8BQHvM/iNNNyi2MVm5HYWhbvFp926mtZGRV7bbdW1k9Shk/eVmhke6sk9zHy/nPkrh5Yv1HmMblSOAV29mrNRlwA3oZQUdjOfJyThuxzjaLpEACoLQ6uk9wrlH9wTXGd+lUHbHl0IuHHV8xxO90p0zxhDylKaCx316dCNHGUz65VJOX7K+c0zz1U14XDVqUjxNu5HzDjhqZ2X9iVf7DpG87fccP+oH89cp+6+PlMx/1r3kuSaYuoJ0yNuGbEV1gBbFUU9dyLi+o/nROIQXKu7gxEX7TUfLRj0BFOBHYb33tw8LJVsZhkKSSdvxs93i0CvdSTOGcUkRXO/9fgFBpKoTuCT7cOTIYbvF0ZaJBFCwuU2bNonpX8GhqsaZXFw0HHU31TzM2ef48hFZIUMZXvEWH/mbusR4alT07WQaldyQku24QBoYeTN2GQNA8MVNjgqk8s+6lxrzBowUR2zAaGDxHRDXfxwlsoYgOY9zKbvtGoVCanjjg5ubG792mssvxsFsOGm/tnCq/DPsc72f1dI/GzwmJ9TUK5kTa+0Wx5WgfoyseINXfZ5r8Jjtvd+iX8UH7KK73eJoy0QCKAhCq1dzWkvbyVQY2zfT8eVXqtTMM27sUM5il0Vc+5djat5Bw8V+YwZOQi8riDCc4/I5B0yrNbTrARgRG0S0dJ72x/+LQae1axiKyg0H9U17enh4cNzdVC4nx0F9cBucfq1Mijem2i8prl7033DHEe/upunoqMJdGPUN1yK1RRyN9T25eUhP9jw3mmfHx9slhrZOJICCILTI+f/cTM6bg0Fv34t4Y1zyUjihmcpvhvuI7D8JoywRqUujOOesQ+Mw5zs1Lmv9EzozXHGQWN0xCrPSHRVJZSC1L69BwSEcU3cFIGPnTw6KpW4cAEkdfflW8zKPy1+Qttd+I01NxQFQHmnqO+t93n4fGmpOLzeYAMYGEytlkHRuKYW59ll/JxurysA0LDZpBPmyJz4Uc2q/fXoDV31Iaazznb+HmgBP0QrOXkQCaGdik7XQGrTk57R91jqCC5PJ3OLE2oNGI2rJgAoDkR06skI9kXm6aew459gissFZm/hN/SzTr7xrvq19+whSVKa2g2e2/+CYQMzDK3WvrpmdbuVD/Q38WhBl9zB2eYzgDd0tXPGpW+DdRaXipHdlqY/D9i2Ts8plNP/RT0TnEVbv/R37TwYguuI4RXlZdomh5u+Y1MDGhwh/d953+4RnVMs4tf1Hu8Rh3nzRyNibWu1CauW/Tf4B+4yK+uXs4Hf1MzxS+LpdHl9omkgA7aSqnl19hYUF4X9N1c+pNXUYqxw2mhKJ/OOO66l6tapRjSrHE59lqWEMf5x27KikS0UBCYqzBBtqj97ktjONMKlO/eGQOCQM5r9drf2Q6bymv41vM3zQ6u27U3qPxzDeM9xEgW/9HX4UsaY1iaHZ9v3Z+dZlMgv1t6Pzqr9DTvuOXXjN9WFGV7zKlnP22QhitGAEECA7zFSfT3mi4SLwLSE3Ugi6JinONA0clr3JLnEoK4qJU5wj1GCfhFtomtN7Aa9evZoXXniBw4cP4+rqytChQ/n555/N969fv565c+eSnJyMh4cH06ZN4+WXX0alajj0rKwsnnrqKdauXUtRURGxsbE899xz3HzzzVY9d0solUp8fX3JyTGt5XB3d2/0l14QnEGWZUpLS8nJycHX17dOH2VLvKG/laXqVwm9tA2MRqhnh6O9yVcVlR0RF8x/t55hU2oORqOMQuGg3z25dhmYKsF9JkPG+3Qp3U9FSQFqD/v2nb3okcBy/TBcPOomXt3aeRPirSG7UMuu03kMiQmyWxzV67zqf/27DJhExe4naW+8QPaZI4R06mafOBpeimim634Hp/46w7rjOUxIDLd9DJKCHuWfIAGb3XwbPM6/92TIXEyX4t1UlJeidrW817hFcViYAMYOnMxbO7bxpyGJj3NL6BBo49aiNdomCs7h1ARwxYoV3HPPPbzyyiuMGDECvV7PkSNHzPcfOnSI8ePH89xzz/HFF1+QmZnJrFmzMBgMvP56w8PGd999N/n5+axcuZLAwEC++eYbpkyZwt69e+nVq5dFz20LoaGmQp9VSaAg/K/y9fU1/7xaa4cxobK1Vx65J3cRGDvAxtFZovZF7ZpIf6I0hfQr28PJgxpiew9xaBxXJ4BxXZPI+DGUDmSRsmsV8SPutGsUKf4j+UTfiXsD607zSpLE6Bgfzu//g9ytxyDmKbvFEVBxgTjpAi66jkDd0Td//wAOa7rTo+Ig53b9bLcEMNiYDVIpUiPrVK9LCOXTv86w4XgOOoMRF6VtP8jISBTiCYAkNfxBK7bnILJ+DSCUyxzduZquw2xcQ7KRDhw1+fj5s7vDPaScvsza4znMHGzj7kKNtIITHMNpCaBer+eRRx5h0aJFzJw503x7QkL1J9bly5fTo0cPnn/+ecDUk/W1115jypQpzJs3Dy8vr3ofe/v27Xz00Uf07dsXgDlz5vDWW2+xb98+evXqZdFz24IkSYSFhREcHIxOZ5+dVILQUi4uLs0a+QPTwvYZyt/xlEyFbS/sWuGUBPDqNYxqlYJ/+6zm2sJfObgrHxyVAMr1L7BXKBWkBwyhw+Xv0B5ZBXZOAM0L7Bu4f1JAJn3Ui7iS4Y1sfBxJ0bx//6ZMzXuPHpo97M5+Cag/uSuIGAlpB/E48ycwxy5xvKudS7gmh9QrkUD96wCTOvox2e0go/SbObFDS9fBE20ag1zzp6KRnEepVHDafwiheT9RdmQV2DgB1Kt9+cEwBL3Kk9uaOHZUQgg7Tl9m3bFsmyeAVb+yspgZcxqnJYD79+8nMzMThUJBr169yMrKomfPnixatIhu3UxvFFqttk5bKjc3N8rLy9m3bx/Dhg2r97EHDhzI8uXLmTBhAr6+vnz33XeUl5ebj7fkueuj1WrRaqs/QRYW1l9I82pKpbLZF1hB+F8myzLPulS3rfI9t95ZgQBgrLGsWRE/Hnb9SrucTY6bmjbPNdZ9LrfuN7BzQzJbijuSKMt2XRKiMGjxpBSlXH+Xja79x1C0yQ0/qZCMI1vp0GNovce1XNVOz4a/1/b9b4a0N2hffoLi4kI8PW3flquqI0l9BZirKBUSU3yPM/DKLvYcage2TgD1Ol5RfQqAQn8t0PB6W9du18OWn+iYuwXZaLBpgq7zCONJ3SyCXDVNJ4BxQez7bSfXndtPYe5ivAPrT56bx7KRSMF+nLYJ5PTp0wDMnz+fOXPmsGrVKvz8/Bg2bBh5eXkAjBkzhu3bt7Ns2TIMBgOZmZm88MILAFy82PAW+e+++w6dTkdAQAAajYb77ruPn376iejoaIufuz4LFizAx8fH/BURUf+CYkFoK2qOvP1HP5F/lD5IUbnjR7v1Lp5sNXTlsKK6XljXQddXFvi9TNbxnQ6Jo7H1VV0HjmOacR4fFl7LiWz7dgUZfv4jjrj+g2vPL673fjc3N1I8TC3Q7Fn7TrKg2ltkdAKPub5AH+1HbD5dYqc46v6tPuqE6wHomLvZ9l1BjHruUG3kDtVGJLnxzTfx/cdTIrviLpdw6oRt++BWjURaknZ1DPTkMddV3KjcavtdyWIK2OlsngDOnj0bSZIa/Tp+/Lh5R1TV5oykpCSWLFmCJEl8//33AIwePZpFixYxa9YsNBoNMTExjB9v2pmkaOST3Ny5c8nPz2fdunXs3buXxx9/nClTppCcnAxg0XPX59lnn6WgoMD8de7cOZu8ZoLQWsly9UVyufomThjC2HLC/q29rqb1ieIu3XP8W/24+TZfb2+S3UzLQC7uXuGQOAwKDdmyL6XKustT3NUqBkUHArDO7l1Bmt71oOs8GoCAC/ap82YKo+k4JEkiqMdotKhZe8xeO0KbHokESBh0PSWyK8HyZc4e2WbbCGqVgWk8Djd3d15v9za9tR/z23k328ZhMOBGOa5YtkM+J9y0K1lh413JeqUrF2R/ihT23RAlNMzmCeATTzxBSkpKo19RUVGEhZmGkmuuu9NoNERFRZGRkWG+7fHHHyc/P5+MjAxyc3OZNGkSAFFR9dewSktL4/333+ezzz5j5MiRJCYmMm/ePPr06cMHH3wAYPFzX02j0eDt7V3rSxDaspoXtaGxIQB2vIg3HcfV11Vt57EABJxf55A40ttNoJ/2Qz4Lml3v/aPiQ/CnkJIDdk5ILUi8ogffgl5W0El/htwMe3UFaXhKvKbrEkw/OxuO56CzQ2kayYKEGMDd3aN6ZHTPzzaNoeaHJUum/+N7DUaL2uYfFlwvHyXF9e98r3vYouMDek8GIKbItCvZVrJChzNQ+z7vBthn3afQNJsngEFBQcTFxTX6pVarSUpKQqPRkJqaaj5Xp9ORnp5Ox44daz2mJEmEh4fj5ubGsmXLiIiIoHfv3vU+f1U9s6tHCJVKpXnkz5rnFgShYTUTwOFxQdyo+Itxx2ejK7FfL9N646j88+rravSgG9HLCjro08k/n1rnPJvH0USeMTLagx2ah3m68BW7tmKzZOo1JCSMo2pTj9Wz2xue+bBFHE0lPL07+PFPtz9YYXyMk1ttnxxXx9H0JU/fZRwAQRdsu57VkkLQNQ2PC0aSIDmzgItXbLhkwMIyMFViEgeRjT/ukpYTO3+zXRyVxB4Q53HaGkBvb29mzZrFvHnz+PPPP0lNTeX+++8H4NZbq3c9LVq0iOTkZI4ePcqLL77IwoULeffdd82bKjIzM4mLi2P3blMT77i4OKKjo7nvvvvYvXs3aWlpvPHGG6xdu5bJkydb9dyCIDSu5qhGYgd/Hlb/yhh2cnrHzw6Nwy3nEIc1/2Bx2RO1bm8X3o4jLt3QywpS9m+2exxNra8KCQggVW1ap5ixw46jgJYUvgMKO5qmgSsy9tkvFgviUCok+vsV0EWRSVnySts/vYUjgADRg24yjYwaznDpnO0+NFhaCLpKkJeGpwN3sk79JOf/eLfJ4y0lW1l5T6FUcMb/WgDKjtiuY0t9bRMFx3JqHcBFixahUqmYOnUqZWVl9OvXjw0bNuDn52c+Zs2aNbz88stotVoSExP55ZdfGDdunPl+nU5HampqrU4Gv/32G7Nnz2bixIkUFxcTHR3N0qVLzesHLX1uQRAaV3NUQ6lQkB44hKjcb6g4uhpGzXBYHJJRh7dUSiF1p6gOdp/LtB1X6JffGXsXqGmftZ4V6g/JyesD9Kn3mPyIkXD6MK6n/wSes1MkVYlo4xfXdkPuZuTRYDJ07dhfrsPL1fpOMI3Z7jqMv0oiiPeObvJY1243wJafibz8l813vq5UjEBZUcQAV/8mjw0MDiNZ3Q2DtpiLR08yLiLWJjHUSrssHPbqEawiuugCR8/8CfzLNnFYOQIIoOl6Pfz1C5G5W5CNxkZ3U1sqKHsLP6lfJzu/O9CvxY8nWM+pCaCLiwuvv/56o0WdN2xofIFyZGRknRpgXbp0YcWKxj9dW/LcgiA0Qanmb9q5SJLMYrU77t0mwqZviLyyDVlfgaRSOySM6k4gdS9M11zTj4IdW9ly8hJlFQbc1PYryeSqzSVJcZL9uobLZYT1vRlOv0WXssOU5ufg7hts+0CqLvJNJBpRHTogB8agu1TCxtRL3GDjDhgbPMayMzuP93zimjw2YeB4ija7ESDlk3ZwM517j7BZHB8p7iBXr+U3T8u+v20DPmHhn6cZeiGIcU0fbhFrNoFUad/vRkh7k5jywxTl5+LlG9jyOCpHIq2pvxc/cAIlWzRckr3IO32a2OimE/qmqMuv0EtxisN6sQnEWUQvYEEQmk1GwS45np3GBCSFih79R3JZ9saLUs4fsuPu0qvjaKAAM0BCmDftfN0o1xnZesLOu2/NiWjDomO7cUqKRCUZSdtqn7V3me6x/Groz2X3zk0eO6arqQPM2iOZNo/DwploAFxd3Ujx7A9A3r6fbB0JYHkpyFHd2gOwI+0yxVq9bUJw8aR/+Xv0L38PSamx6JQOXbqTLrXHRTJwapttXhPZgvWhV3N18+C5yGWMr1jA7+m2at5Wf9tEwXFEAigIQrPVXE8kSeDuquGYl2mi1fYX8cYCafiiJkkSMztksUI9j9A/7nNIHI2N8EiSxIWwUab/Ob7aLmHs87+eh3X/5FTQqCaPHdvFk/dd3mX+iZvQlhbYNA4/wyU6Slmo9JbtHjXGmpbphFy07YcHP2M+QeQjGS3bYdw5yJNOgR5oDMXsPnjIJjHIkkQWAWQRgGRhb2pJkrgQahoJlW31s9LIh6XGDOweA8AfR22zy18WdQCdTiSAgtBK5Wx4n+z/3IBcbtuLtjWM+gqmKv/kLuVa88VVjp0AQHjW+hqJmX3JTUx5JkW3I0lxkuiiXRi0titl0WAcTVzUAq+5CYDOxXttWlrDHEfln5YssO8eGU5P5RkCpEJObrdtUehHrixks+ZxgnO2WnR87OCbqJCVdDCe52LaYZvF8Z3xMfa4PoCmIM2i4yVJ4smgXezT3IfvtpdsEkPNXwWFFdOvvr0mAxBTtJOK8rIWx6HX+LLa0JddyiSrzhsVH4JSIZF+MYdzF2yRBDrmvUFomEgABaGVurjje0KyNnPmjw+dFoOsK+dFl895yWUJktHUASRh8CSKZDcy9L5cuOCgYulNJJoJvQdzgUDc0JK2a5U9AzH90cQFPq7HAOYqH+Ha8rfZkWGH7hdGPQqMKCy4yCqUCtKDhgOgO2Lr18a6UR4//0B2uw3he/0Qtp1quCuTtSQLN8XU1CmhD2rJQEzhDnQ2+NAgV5TwvOoL5qq+NLems0Rs0jBy8MeTMlJ3tPzfp9w7igd1j/Ku5l6rzvP3UPNqwG8c0NzHhfUtf8+RLFynKtiPSAAFoZXaLZlquOlPOqn/LrUXtlclPYF+vjwc+hU3V/yb307baP1UE/QuHuw3RpOmqL9AvItKSZqfqZRF6WH7tT6ztL2VQqnA2O1WLuPD70dsXzh78vnXOe16F33Of2bR8Z6JkwHonL8Vg67+/sHNYX4VrLjIHx/0Jk/pZ7HirGvTB1schxWLESvF9h5GdlXitd0GibGulL+rfmemao1Vte+USiXJIZNYph/Ohgst38BUXTPT+sSrfUQHNJIOv4zfWx6HebRcpCHOIl55QWil/nIxrbXrVLwffbHtRkus0dDOxqE9TJsPbLVeqCkl/t24qeIFFno82eAxmm43ANAx9y9kg30SU4PChULZnQpF08mLefPFsWwMRltPh1WNeFn2Fp/QdxSX8cabEtL2/mHDMKq+L8svNaMTTK/L7vQ8rpTYJhmtTkQtj0OpVHI6wDQyWn645etZa/2uWFlGRT3qOZ7V38OXZ7xa/LMiG2WsKwJTLWrQ3zDKEjG6VHIzT7coDqPChXzZA63Ctq3uBMuJBFAQWil3Y2XtSwyc2f6Dc4KocVFT1KjbVpXcnDh7jks5F+wfRuWfjU3xdR0wjnzZAz8KyDhon1HTlHa30kO7mG/Dnm7y2P5RAdzlupUPKp7j1A4bj0qap9csO1ytduGEz2AACg/8bLMwqkfeLD+nQ4A78aFedJVPsW/bnzaKpP5WgU3x6HUjANFXtrR4ZNRYo2i6tfpHBeDj5kJucQV701v2Yc8zaxfprneypPRBq88NbtfRXMj89F/LWxTHmXYT6an9lE+DRSs4ZxEJoCC0UnPK3zD/XX/UjtOajWmgv2m4rxuv+v/KXvX9XPjzffuHYcEMn4e7G0e9TElO3h77JsyW5BlqlYJxvufppzhO8YEfnRiJiSphIgAdLm0014prucryK1aMvAHM9t/MSs1cwva/0fTBFjCvubMyjvh+Y8jDC1+KSd3dsmlPqXLkzmhpVl6Di1LBdXFB9JROcXrrdy2Ko6WbL650MPXX9jizpmVRWD8rL9iYSAAFoZWSaryRRxXswlhW6PAYGutvGtwhBhfJgM/Zlq8XaopX9i52ah7k5eK5jR/Y/Sb+NCTxU0HLC9nWp/qiZtlVTd1tEgCRuZttOi1dPfJm+Vt8/KCJ7JHjWFoxkpMXLts4Duuu8h0HTAYgtuwghXktr91Y9eyW9OCtycVFzQnfoQCUtDBJryqZ1Nz0646gNH7WPM/I068hW1jOpj5Gc63K5mVeHQdNASCu/DD5ly42O46m2iYK9icSQEFotaovJRp0pO/62fERNNLdoPOgW9DLCiJ1aRReOGHXOCR9OaHSFXzlxkvidB96Mw8an+SLK904mV1k8zg6Zf/Bly6vMOLyNxYd323QBApkDwLI58zBjbYLpBnDK56eXvyn0/t8YJjM6pQrNgljq/paPtePptyjvVXnRXbpTpqiEyrJyKktLZtqBPiVa/lOPxRZ7WX1uco+05irm84LBeMxtmD9XXNasNWUMGA8xbIbweRx8sCWZsdh6UalhrSLiidNGYVSkjnZgkLm4dmb+NrlZSZeWdrsxxBaRiSAgtBKVb19f6+6nlkVj/JDYVeHx2BUezKj4ilmVDxVJwHsENGBZJduAJxp8bRVEyy8qHm7unBtlyAA1thh961n2QWuVR4hVHvWouPd3NxIqSqcvdeW08DN67Iwvruphd2aI80f2anpZ/ebmK+fTqlfjNXnZrUbDYAqteU7cF+UZ/K0/j7wCLL63O79RvKjchzJRR4cPJ/f7BjkFo68ubq5k+Jd9bPSgiUMLUxEAU51nsaLurv4Lq/5I+nuZdkMUh6lXUV6sx9DaBmRAApCq2V6Iy+Nnczvxr6sTCmo0xfb7hEo1Ww09mKjsVe9OxuvdBgDgEfab/aNA8svamO7hdJRysJl76c2L1RtfjQrRt6k+OsBaGfDwtmZmi6sM/SiyN26kbdRCSH4KsuJu/QnZ0+0vAOGeSCyGclG6IC/ARBXupeSgpZtfGjJejNXFyUj4kMAWlSyx+AWxAjt61yvX9Tsx5DiTTvZI7LWNXudZvWPWPMTwMgRM/mvYTy/nJFa0CrP2NIwhBYSCaAgtFJVC9t7dwjA1UXB+StlHL3g2HWAxiYSlg6DTBfxaO1RSnLtWBTailGN0TE+rFE/y/1lH5OZstPGcVg/yhM36EbKZDVhcjbnUnbZJIxN/rfyD91TZASPtOo8HzcXPvH5nHfV75P91+ctjsPTkE8QV5CMWqvPjYrvTbrUHrVk4MRfLRtBdqcET0prbVqyxoQ4H+5QrqfPvqebn3gpXTgth3NGCm/W+QBx195IuexCOzmL9JQ9zXyUyo49zY4CYkJMrfIq9EY2peY070FEKzinEwmgILRSVW+bGhclN3aSeVT1AwVrXnRsEBWl3KrcxM3K+tckdY6K5ogiFoC0FpaNaJzlU56+3t4cce8LQPbOb20ch/WXVR9fXw65D2C9oRfbT11yUhTVDLGmEcnwzD9aPCL5UtFc9rg+iF/ObqvPlSSJzHDTNLAudV2L4tiuuI8jrv9AVZzZrPOHxAQxR/UVow1bSDu8rVmPUTU635J0x9PLlxSPawDI3tm8pFin9mOjIZGjLs1fMiJJEjfEenCrchO6LW836zFauiZSaDmRAApCK/WVajKv6f6G3jOUCR10PKr6ke7nlyHrbdfJoSmStpBFLp/wquqT+u+XJE52ns4c3QyWFfW0WxxVeYqlbaUqYk1TaSHn/7TpNLBU3WbBqvPODn+PmbqnWHrG1yZxWLsbuab4IbeglV1ob8zkXOq+lkbS7DgA/AfP5LaKOcwsmEFZRfN3vppbwVm5C7iKu4cXKZ79AMhtbgmhsnyeVC3nIUXLShDpYky9tt0vNG/0usi/GzN0z/CR+/0timN8u1IWuXzCmEufU15a3IxHEHVgnE0kgILQSq1QjuNDwyQM7qEkDhxDruyDN8VcOGir4rlNs+RTfNSQO/jKcB2/nNJTrmv+RbwxeqUHKcYOXFRaNr0WP+RmtLIL7YwXyDq532ZxyM3cfDG6axhKhcSxi4WcvtSci2ltd118mVTN3SScs36E09cvgKPufQC4uKNlo7ZSC6f54uK6cs47iaIK2HyiJaOjLU82DHGmOontLjTvQ4NUXshDql+YKf3a7BgAYobexm2655lcMpszudb3kTaPRLYw74rpeS1ZBOIuaUnZ+rP1DyCmgJ1OJICC0ErVXNju5e7Kkaoixy3ZIWh1DFVr3hrWo70P7XzdKK0wsCnVNlOcV7sS3JdxFQt5y7vpDhwAAf4BJLslAXBhh+2mgWUU6GQlRsm6nq1+HmoGRQfSjksc2NqyArsASqMOjaRHonnr1SpiTMlOyLkWFj+u+rOZ2YYkSYzrZuoq83sLdia3NA6A2GtvoUJWESFfIOP43mY8gm2Ka/v6BeISNRgjCn5Ltv41aeYgdR2SQkF6yHUAGJKt38Euo0ArqzBIqpYFIjSbSAAFoZXqbDxDV+kMkr4cAKlr5Q7B7A1gp163V5Mt+BQvSRI3xntwl3ItqvXP2zUOay5q5V1Ma90CM2zX+3ZvxAy6aL/kl/ZPWX3uP0LS2Ob6CP2Sn2/xtHR1kfDmXeVjh0yhQlbS0ZhB5okDLYikZVPAABPivJmnWso/U+5EW9a80dGWTgED+Pj6c6xyZPTCdutHRm255m1CZbmeVQfPW32u/4UtpGim82rBMy2Ow+8aU1HohMKtlJVYV1fzaMRtxGq/4Ovwf7U4DqF5RAIoCK3UO/oXWa15Dk2hqSl74uCJ5Mme+MoFZDpqGtjCi9qEaDdeclnC8LzvKLvS8s4OdcKo/NOaS2vMtaYkJ0h/kezMdNvE0YKZxh6DxlAuu9DeeMFmu4Gbm3j5BQRx1M2U7Jzc2/wNGM3tBFJTYqdwxqr2ESVlkrqteS0PbZEAAlTEmkZGwzPXWJ2kt7QOYE1ju4Yw1+UrluZP42zqQeviMOpxkypwQdfiOGJ6D+MiQaZp4L9WNOsxxASw84gEUBBaKfO0VuWvsa+XB4e9TG2r8nbbendr/SyZAgaIS+hOiiIapSRzarNlXTKs4Z+1lY3qx3i84FWLzwkODuHFgIX01v6H39JtsxGkqh6hohlXNV9ff454mDYaZLV4WrrlideFPrMZWP4ub1we0OzHsEUCqFAqSA8aAYAu+admxlEVRsvSjdhht1Mqa0jX+XHinJU1AS38XbGEr4eGPp65BEv5XNhm5e+TLTc9KRScDTXt1JaPWPdvU1VCSiE2gTiNSAAFodWqfAOt8Vus7H4ThbIbqXlGhxSFNu++beJzvCRJXGxnaiKvTv3Z5nEodSV0UmQTYLRujWGn3tdRhiurDtum80WXnD/4xOUNrsld2azzdZW7k8Mzf2/Rhbqlmy8A+vUfRJYUSHJmAefySpv1GH+pBrBcPwydW0iz4wDwuaayKHT+X83acbrK2J9Vhv6gcm1ZHL4BPBX5A3frnuXX49bV3DRPAdso4dHGmPpIh523ssi6jcuvBPS7DaMsUVRUQKnW8lHFyJz1LHZZxJC85reTE1pGJICC0EpVj65U/xr3vPZ6Bhg+4cmi2zmeZftet1czugXwQMU/ecb4UJPHtht0OwDRpYcovdy8emwNkpu3+3ZCjzAkCfadvcL53Mb7CFsioPQMo5X7CC0/1azzE4ZOMRX6NV4k41hLilTX/dmwVqCnhv5RAQCsOWz9WjOAzzR38oz+XrS+nZsdB0Bc0gguEoSHVM7xZkw1/lP3MA/p/gluPi2KA+C6nqbvZdXhi1Z9yLJFB46aYofdRoWsItJ4jvQUyzelyM38XWlIdOJgbnL/jOnap9hgxSYv79JzjFIeoF35SZvEIVhPJICC0ErVN63l5e7KoBhTKZRfD12wewwGlRu/GfuzTurX5LExsV05poixyzSwpSORVwvxduWfoUf4Q/002ataXkRbbuHmCx9fP/M0cHYLSrCcd4lim6ErZa7BzX4MgClRWpa4vMqwrXc27wHMreBaRqFUcCakcqox2boEsGaSZouUZ1RCCBqVgtLcc6Sesjx50Xu1Y4L2Ff4hzbdBFODjF8ixyqLQWdZOA2O7EUBJoWBAYgIAqw5ZPpJenQ+LNMRZxCsvCK1WVWeB2m/k1yeGAzInDv6FrCu3bwRWXOAlSSKnwzgANCeaN0XasMr1Vc2YXusb4UWs4jwhGb+1fH1US3aBVNLHTQYg8MKGZj/GSv9p3Kl7jgshw5v9GADX9ohlkOIIMfoTnD9x0OrzXeVSPClFamYLtpoC+5tGkOOKdlBadMXi84xGGQVGFBhtkvJ4alS8GfQbOzQPk7/hHcvjULpyVI7kpBRpgyhM9HGmaeDwC79b3KJOtsHP6NWqdiUfTj1BcbGFMw823BQjNI9IAAWhlWpogf2o+GC+07zM4vInSd+9yr5BVBQzQbGTkZJlfUnbD76DClnJhVIlRaVltoujBWve4offVrn7NpPzLd592/L1VfFDb+FR/cNMKJ3HyezmTePb6hofEBRq3g18YetXVp//SenjHHH9B165LSklY9IlcRD7Fd34xjCSv1IsX0IgG/Wcdr2L0653oSjPb3EcAKExvVFIMh2z/rA48TK2oDtLQ2KH/g2t7EIHYyanj1rWbk+n9mGnMZ4zqpZNy9fUNdybDzw/4y/l/RzfZOkGJvuvURYaJxJAQbBWRSlkHXF2FHzBRN7TT8bgFlDrdne1imK/eABK9jevX6illCVZfKB+l5ekDy06vnPnWG7x/poZFU+x9vhlm8XRkqlXfz9/Drv3ByBr+9ctDKTlmZePjx9F0ZMoxZXVzSj0WxmIKYxmR1GtIu5GAMLPr7Y42bk6DluMNkkKBev7/ZcX9VNZcdzyke1aU8DN2Z5dj4Qht1AqawiTL3Fi/yaLzlGU5fKA8mduN662SQwAXj7+7PAZx2L9ONamWbZRJy/wGm6rmMtnPg/YLA5JkggIaY9SklEc+9myc2xVkVpoNpEACoKV0r+fDf8ZxOX17zo1jsXcyBv6KcjuAXXuc+91CwBRlzdj1DZvB6clLCkEXZMkSYxIrF5Ebyt6hRvpxhDylIHNOt+QYEpy2mdaPpVWP9u0txpfVej38MVmxfOPnJc5qLmHyMyWtR0DiB9xG2WymvbGC6Qf2WHVudX192xzkb++h2l966YTlygst2zHae2NGra55Ll5eHHM29R558oey9ZqKktyeNrlO/4uW981ozGFI1/lJf1Ulp2ULNqUUv0TatvEK2SAaYq+a8kuigryLIjDtptRBOuJBFAQrBR5cikAAX/NdWocjaUaPQdcx0U5AHfKObPzZ/vFYN58Ybnre5iSm1MnUyi8nGOTOLLDhjOs4i3+E2BZK7irdR12C8WyK6FyDmeTtzQ/EBuNalzXNYSZLn/wXv6DpB/+y+rz3Yyl+EolKOWWd4Tx9vbjqKepFmDODutGSM2vgo0SwLhQL2KC3OhjPMz+vyxrmSfXXH9ooxFAAEX3mwCIyv4To6HpHtfN3ajUlJFxwbi6KDh7uZQjmU2XprFXC97IhL6ck8LRSDqOb7Fg5sEOaxEF64gEUBCsdE4dBcASJlGht01/z+boKF+gs5SJZKw7EuKqdiElYCQAZQfs2Bu4GQu5o4O9eNf7a7a4PMzp9Z/YJgzzZpTmXUy8vXw44jUIgMs7ljU7js0R99Gl/As2RDzY7McA8HZ1YbRPJvGKc+TusH7tXdWmC1vVnKPbzQBEZv2BbGw62alW/0al5pIkiecD1vON+hUC9lm2AaPWFLANk42Ea2+iSHYjmDxSLeiWUjXiZesE0EOj4rrYQAYrkjm5qemflaDMdezT3MeTV16waRySQkFmO9MmL9WxpotC74mYSVT5V/zc7kmbxiFYTiSAgmCly0pTaY0UXTB/nbSu8LAtLWc26zVP4VJcf7kXz96mPp2d87diKG9eD9UmNXMnn0+HrgB4n2xea6+rVXUVaMn1Xe5xOz8aBvNlfkKzi2gbUaJDBQqX5gdSSZl4K1A5wqRvbtsu2yQbXYfewl9yIu9VTOTg2VzLn73q30Vhu0tNh0Gmn+v4sv1cuWRBqaMa/5a27Drh6ubOcd8hABTstWDEy2i/Xa8zAo/ylXoBA0691eRopMJYToBUhIexxOZxhA2+C4BupXvIu9T4Eg8jYESBpFDaPA7BMiIBFAQrSTV2ev580P619pqKo6H+pon9hnOOENzQkrbNtuuOqli7BrBK1NC70MsKonQnuHz2aIvjCMnaxG/qZ5l25b1mP0bisBt5jof5OT+a5MzmFYWuej1scYnvdu1kruBFAPmk7rR244Bt1965uXvwQ/w7fGW4jl+SrUgAbbQmsqYOXRI5peyMSjJyclPT9e/sNQIIIPW9h8crZvFM3g3oDU3NBthv12vCkFsolt0I4xIpu9c2EYZtO5LU1DGuN2nKKFwkAyc2fmlJGGIG2ImcngCuXr2afv364ebmhp+fH5MnT651//r16xk4cCBeXl6EhobyzDPPoNc3vq4lKyuLqVOnEhoaioeHB71792bFitrFQ0+cOMGkSZMIDAzE29ubwYMHs3HjRlt/e8L/S6Z3rtGKfUw8/jSlF084NZqGLmoaFxUbIx7mzopnWXKlu12e29zeysrzIiI6ckjTG4Czm5a2OA6XigISFGcJ0lvZn7UGd7WKkfGm0d3mFtHumvs777i8T3xeExdhC7i6upLib5rGL91nbVFo2yaAADckmjZgrE6+iMFo2b/4VsU1/Groj9HV12ZxAFzqOAEADwtGkGVJwVpDb9YZeiEpVTaNI7H/SDa6juRsiYrtaY3vapdt3IKtJld3T477mfqAF+1pYgmDnVtEpsfP4hndPXx4KbHR46Jz1/Gey7skXbbdrmjBOk5NAFesWMHUqVOZMWMGhw4dYtu2bdxxxx3m+w8dOsT48eMZO3YsBw4cYPny5axcuZLZs2c3+rh33303qamprFy5kuTkZG666SamTJnCgQPVtaiuv/569Ho9GzZsYN++fSQmJnL99deTldX8C4jQNpx1iWaLoTvXKfcxWtrN2c1fOCWOhuoA1hQ97Ha2Gbuz6kgO5Tpr1m5ZpsIjlCd19/G64u9Wn1saa9p5G3r2VxsUYLbNWsyJPcJIkNIJ3fcmRl2F1eeHlqYySbmdkBLbtLfy7GPaWRl7ZSMVZZZP2Zl7Aduwy8K1XYKIdC1ldOlqju62rEj166p7eFj3T3TekTaLA6DjENNUY7w2mUuZZxo91qjUcI/uSf6hewpJ5WbTOFyUCvPO5J8PNFGb0I4JIIBrUmWh7Lx1VGgbKZNj5zi6jZ7Gd8bhbDmnb7SHdFDJKSYqdxJelmqXOISmOS0B1Ov1PPLIIyxatIhZs2YRExNDQkICU6ZMMR+zfPlyevTowfPPP090dDRDhw7ltdde44MPPqCoqOECqdu3b+fhhx+mb9++REVFMWfOHHx9fdm3bx8Aubm5nDx5ktmzZ9OjRw+6dOnCwoULKS0t5cgR59d3E/63rfCdwd26Z3nJ5WEAfE/9bPdP1fWpngJu+Jj+nQII83GlqFzPplTb7LityaD25QfDUP5UXGv1uQnDb6dU1hBuvEDm0a0tjMQ280lDu/jzpWYhM43fk7qjGd1KrGmNYoGu/a4ji0A8KbOqB+4Flw4cMEZTofazTSCAWqVgof+vvOzyGRW7Flt0jmzBz2hzhEfGkuKSgEKSOb2x8RHk2lPAto0D4MYegcxUrubOY/dRWtLwLtwyn87con2eOeqnbB8EED9gApfxxZdijm5pbMmHnbYBVwrxdmVgZ1NpqpWNjKS3tG2i0HJOSwD3799PZmYmCoWCXr16ERYWxrhx42olYFqtFldX11rnubm5UV5ebk7m6jNw4ECWL19OXl4eRqORb7/9lvLycoYNGwZAQEAAsbGxfPHFF5SUlKDX6/n4448JDg4mKSmpwcfVarUUFhbW+hLanqq3Le+eN1IuuxCmP0f+6YZ/Hu1F0cQaQACFQuKOBBfmqL4kaM09No+h6k28OdU1AvwDOOwxEICsbS0rwCzZqLaFq0ZDSoCp52z5vubsBrbtRU2pVJIaPplfDAP547zlG0u+8L2fGyte4FKo9Yl5YzyT/gZAzJVNVJQ33clFYTSgxGCXD0gFXUxlWAxndzZ6nL0/mvWKDGamei1J0nGObWx4qt6gcmevHEeKIsYucShVLpwKNv3sGg41vCnFPBVtxx68N3f1YYZyDbHbn2h4Q5VYBOh0TksAT58+DcD8+fOZM2cOq1atws/Pj2HDhpGXZyoiOWbMGLZv386yZcswGAxkZmbywgumresXLza8w+i7775Dp9MREBCARqPhvvvu46effiI6OhowrYtZt24dBw4cwMvLC1dXV958801+//13/Pwa/sS8YMECfHx8zF8RERG2ejmEVqTqDa19WAh7Nf0AyPzLGdPAlr2Bju0ayt+Vv5NU8heFF07ZNAJJW8gIxX6ukQ8363ztNffxSMUDPFdwQ7N33oJt11f59LsTgLj8LZQX51sbiOlPG17U/MbP5RHdQ/z3jC8lWsvq+tlrQDq+/1iy8cebUo5tabq80K/6e0lznYrrlRSbxxI3cjo36V/ijqKHONFIyzy5vJBUzd2kaqYhGbQ2j0NSKMgIHw+A6mjDr4kjGl8EDpwKgHvRGYrK6v9eK1x8OGSMIkvV3m5xjIoP5FnVN4zSbSKtwRZ19p2KFppm8wRw9uzZSJLU6Nfx48cxVm6Jf+6557j55ptJSkpiyZIlSJLE999/D8Do0aPNU8QajYaYmBjGjzf9oikaKSswd+5c8vPzWbduHXv37uXxxx9nypQpJCcnA6aLxYMPPkhwcDB//fUXu3fvZvLkyUycOLHRxPLZZ5+loKDA/HXu3DlbvWxCK/Jo7jwOa2bS/sLvlMWZRiFCM1aZyzw4yhfGcfxXPw7Uno0e1yU6hoMupgXZZzZ9btMY1IVn+Uz9OvP0zdt9e82g61irGsrxPJkD5/JbEIntEq+uScPIkMJxkyo4vrHpXaY12WPXa/d2PnQK9KBcZ2TtsWyLzqnOQ217cVUqlZwOGWt6jkOWb0xR2GG0yTcgiICYAYDET42tvzMa0Uh6NJIOSbJPyZGwa6cB0LV0D3k59U97Kkty+LtyDeMNlq2fbI6oHoO5z/0txmtf5vej9S/5uBgylEkVL/G1f8tqVTbG2zeIY56m9oo52xqoTShGAJ3O5r+VTzzxBCkpKY1+RUVFERZm6gaQkJBgPlej0RAVFUVGRob5tscff5z8/HwyMjLIzc1l0qRJAERFRdX7/Glpabz//vt89tlnjBw5ksTERObNm0efPn344IMPANiwYQOrVq3i22+/ZdCgQfTu3ZsPP/wQNzc3li5teD2JRqPB29u71pfQ9miM5XhLZShkAz2G3UKh7E6A8TI5R+z3xl6fhYY7eVE/FSzYYZnfeTIAAWk/23R4qKUjb+5qFaMTQgD4palF9I3QK1zJln0pUXg1+zGqKJQKzra7HgD10e+tO9lcj9B2FzVJkrghMZwY6RxX/vrUonP+mfcSOzQPEXrR9pUNggZXJjvF25vs5GLJOtWWuLFXOwDW7D/TcP27GhuEbNUL+Gqm8iedTeVPNtRf/kRTlMHzLl8yTWe//tySQkG3pGsBiZ8P1v/7VPU7a6eXovp5upvqWHa6uAZDvf82Yg2gs9k8AQwKCiIuLq7RL7VaTVJSEhqNhtTU6h1AOp2O9PR0OnbsWOsxJUkiPDwcNzc3li1bRkREBL179673+UtLTbuOrh4hVCqV5lHHho5RKBTmYwShYdWfXEP8fdjnMYSDxih2nLJsdMbGUVh0cY0fcSflsgvtDefIOdnQlExzgmj5NM7kHoHcp/yVmw7MQNfMgtXp4RPop/2Qz4OfaXYcNbUfakpy4soOcCU7o4mjq9lrYftNnWX+1DzD3ZffJi+r6Xi8jfmESXkojY3sBm2mzt36cVoRiVoycHxD40sfqneq22e10Yi4YP7t+g0rtTNI2fl7vcfU2gRix2QjN2oyAD5pDXTBsPPu2yqTepqS4r1pF8m+XLc0jb1Gh6+WMPRWimmkNqEj5sSFRjltDaC3tzezZs1i3rx5/Pnnn6SmpnL//fcDcOutt5qPW7RoEcnJyRw9epQXX3yRhQsX8u6776JUmobyMzMziYuLY/du00UtLi6O6Oho7rvvPnbv3k1aWhpvvPEGa9euNdcYHDBgAH5+fkybNo1Dhw5x4sQJnnrqKc6cOcOECRMc+0IIrc7VGw5yhy5gcsVLvJ/evkXr2KwVKucSxmUkC1pzhYUEc8DNNCVzYUvL6+5VaW4h6JoGx4Qz1WU9iZzghCU9ROth7gTS7Chq69SlG0dVCVzBkz17dlh83u/hD9Kj/FN2t59uo0hMOkbFclwVh1KSSWti1yuAZL7I2/4tXpIksjtNRicryUxvvIRH9QignUqfuCiJ9wNvqYySvfVvJKr5O9nY0qGW6jziboyyRLwuhfOn6655lM1r3ux72e0Q4M5LgWvZo76f0398VOf+9hfWsFXzT6bnvmHXODRunqT6Nlyb8K92/6Bb+WI2tZ9l1ziEhjm1DuCiRYu47bbbmDp1Ktdccw1nz55lw4YNtTZirFmzhmuvvZY+ffqwevVqfvnll1rFonU6HampqeZRPRcXF3777TeCgoKYOHEiPXr04IsvvmDp0qXm9YOBgYH8/vvvFBcXM2LECPr06cPWrVv55ZdfSExsvHilIFy93mx0jwjUKgUnc4otasZuK9s0D7PD9WEU5XkWHa/ravpgFZG5Btlg2WaCJplbwTWfSqUkLcTUQ1RuZPdio2FU/mnLPONwvzfop/2AjzIsXyyvkzQU4oFR5dr0wVbK62yqmxhwqumuLlJl31l7ja5EjX6A/hUf8NjlyWRcbrjWW3VA9rvUeFxj2rQTn7eB8npqJco1p4DtONoUGBbJIbe+rDb0ZcOR8/XE4bgPh7Htg/CWyvA/XbdQtkpfQnspF29jvt3jcDPXJlyPVlt717heoaYYd4xK2/+uCJZxagLo4uLC66+/TnZ2NoWFhaxdu5auXbvWOmbDhg3k5+dTVlbGzp07GTduXK37IyMjkWXZXOIFoEuXLqxYsYLs7GxKSko4dOgQU6dOrXVenz59+OOPP7h8+TKFhYXs2LGjzmMLQv1qj3r5uLlwXUII3pRwaGPTOyNtzdKLWuLwWzglt2Ol7hpSz9lmurrq4trStlJBA02FfWOLd1NyxfrYIrLW8oN6PpPzPmtRHDWN7Ncbo6TiQEY+6bmWFWGu/smwfaIRN2o6FbKSKMNpMo7tsigSeyU8ISEhxHc2rcNubAOGojIRtWfiFd9vDFkE4iWVcWxT3Q8QxppTwHYcAQQ4c91/eVD3KEtOuNRN+OzYgu1q0SOmoZcVxOpPcPbEofrjcMDau7gB13ORQHYbYvnrcO3i6LZsmyg0j9NbwQlCa1P1hlXzonZHvIbdmgf4W9pTVBTYfy2gbLR+VMPH04M3or/g3/pp/HTMNiOVtpgCBojvcQ0nFKYeoifXf271+W7aXPooThCis93O/GBvVwZ3CULCyLodey06p2fe7yxQfUqnKy0tbF2Xf1AoyZV1Ey9u+bzRY6v+New53Vi1AWP7vv21fh5r2kZP1hl6YXTxsFscCqWS9MoyLFJy3QRQVqjYbkhguyGhzn22NrpbGK4uCs7klnDofO1+0vZsBXc1v+D2pLibatpmbv683jgcQaFS8U3fn7hP9zjLjtYuSxN/eR2vqT4mNs+xm+eEaiIBFAQrnVN1ZK8xBp2meqlCvx7xpCk64oKBtI2f2z2G2t0NLP81ntTLNJ3504FMC5rXN03rGcFc3XQ+c7mtRY8jSRJZkaYpTu9UK3feQo2dzba9uN7duZS/NI8ycf/fkS1YaxlZcojbVRsJKj5u0zjMepqm1KKzfsOg1zV8nB12I19tbNcQlmoWsbzsXk7sr/8i/gyP8A/dUxi9wu0WB9Qow1Kyiyu5tdt5yhpf7tDN4U79HLvGAOCpUTE6IZQo6QJHNtZORqunoh0z5mXobvqd7JS5stYuXPPyAAfFMfka00jxphOXuFRUnQSGlxxlimozYSV2+l0RmiQSQEGw0mLvB7mlYj5Xgvubb1MpFZyLMJUo8jhmvzIPVWongJa/kY+IC8bfTUnnkv0c3lH/rklr6NyC+NIwmnUuw1v8WF1GzUAnK4nSnSTr5H6rzrXX6MqAPn3woYQQOZcTu/+wJBDTn3ZKvLoNvYk8vJBkPfsPNDwqmaUM5bgxAoMdR948XF1w9w0CIH9H/aVPzMtl7RaFScf4PqQpo1BLBk6sr70z2dHFRmZEZLFB8yTjT79Qa91bqW8cd1c8w1uu9qu/V1P88NsoxJ0wcjmyfbX5dtnB9fc6B3nSq4Mv7eQstm+u8Z5j47aJgvVEAigIVmro/TNqxDQqZCUdKk5RkH7QzjE0b2G7WqVgQfhfLFO/jMe211oeRzNiaEhYeAR73K9lpWEAa4/nNi8SG1/UPDw8Oeo7AoDiXQ0kOTVI5nVN9nlr1Wjc+Dr2Q/ppP+TrtIYXz7/t/RRjK17lSshAu8Rhjqf3HQDEXl5HhbZuyRlb/nw05XzMNN7R38ji7OjaMTio7EmVHv1HkYsv/hRxpMaaYJ3Gly3GRI652H8qGip34QZcB0D5nprFmB2zG7mmx8OOsEXzGPEHXqjx4VXUAXQ2kQAKgpVqVhWrKSayI3vVfQE4t/G/9o2hRgJo7Q7LyGsrL9plByi8eLpFcSi0hQxQHCXecKJFj1Mla9T7/FP3MJ+m1LOIvjF2mgIGcO9r2kAWf2U95SUFTRxt/1GNawcPQYeK349mUVRe/zSwoy6tXQdNJAd/fCnm6Oa6G6C28ndSNXejLjxr50ig64T7ec84hbUXNJys0RpOKr7IQc097HC53+4xgKknb1qYqZC4dKi6k0z1gJfjEh7fa+/hHf1NPJc3jsLKn5UKlTcnje3IVwU6LI7Ea29AJyuJMZzi1JE9phtFJxCnEwmgIFhp9pV57NY8QFD2ljr3lcabSq2EZ/wKtiq1Ug8ZBV/rR/KNfgSo1FadGxObwAFVDwBOr1/cojjc8lJYpn6Z2dq3W/Q4VcZ2D8NDrSQjr5Q96VesONN+C+y79R/DOSkMd7QcW9fUKGBV6mW/t9bE9j50DvJAq9OzYe/RBsKwbweOKkqVitOhlSV8Dtat9aZGh0bS44hRnkBPDcPjggH4fl91GRbZaMBXKsGX5hUZb47woX8HoHvpLi5lmTYmuZRe4DblBgbrtjssjujEwawOmM4pfTCrD5vanJ4OHcd1FYtYEfyww+LwDgyrbg331+eAfdomCtYRCaAgWMnbWECwlI/CUFHnvl4jp5Ane+JjzOfsMcsLCFtLVih5Tj+Tf+n/gaR2t+pcSZIoiDElqiGnV7SoNZyt1965q1VM6BFGF+k8aestH0U1SC4Uym7oFBqbxFGTQqngbOX6Tvdj3zZ+sANGNSRJ4sHoXLaoHyNm8wP1HvN04SusVz+B/yUbdn1pQMiQGQB0L9lBXk7tkjD2LgR9tSm9QrlOsZfue2aj01X+fjpw922ViLgkTqpiTLva1y0BwD3/FAtdFnNned1E2V4kSeKWJNPGrx8qk2LZSWvvFL1M9RpjclZTUVFRXQZGjAA6jUgABcFK5k+uirqN5QN8vPgsbB4DtO/zzTn7TbHUzNma8/bZbdRdFMuuhBmzOHdwvQ0Csd2b+F2dtazVPM1N516ltMCytYDH2k2hh/a/LA972mZx1NRpxD8wyhJx2mSyzja2a9ExJTYG9UkiXMolXneUC6eP1bk/2JBNZ8VFFIayes62rU4J13CiMtlJXVu7DqNkp7WZDRkWG8hr6sVMlDdxZLOpYLZsg2LlzZEfW/Uh60dkWa7+sOTghGdyz3aMVu7jvgtzyEg75rRxt/ghN5OPF0Hkk7zlJ8QaQOcTCaAgNFNDa3m6DZ5IDn42K7VSH9ko40sRPhQ365c40N+fg97DAMjb9nnz48D2F9fuiX1IkzqikXSkrresbZ1s55GmdpFd+MrnHm7Szue7kw2/4j+HPEy/8vdJaX9rg8fYQki7Thx1NdV5y9hYt/i1eeTNQRfXzB4P82jFA7yS3e+q3ruVfzroGu+iduVE8FgAjAdMreGqwnHkCCBA7KjpVMgqAg3ZHEs9Ydd1qo0J9nblEa+NjFbuI2PjZ0RdWMVa9VPceKlumzh7UqldORlS9W/zDWvD7uOa8g/Z225qE2cK9iISQEGwktTEQv/hccH4uruQU6RlW2rDXRJaQtaVcND1Pg653oukt6AVVz1ckkxvvOrco+j1Tde4qz8Q2+8olBQKMitrAnoet6wmoCPWk3sMfYT9cgw/7M/EaKw/5S1VepGNP3qVp/0CqaTtZkoyO5z/BaOh9r+fo0feel93O2sUQ0jO0dUqgFw9Bey4S03IkH8A0L14O5cvXUQ2On4KGMDbL5gPO75NX+2HLDteYbdSRZao6GaqHxl5fiWaiit0UWTio7/s8DiCBpuWC3Qq3k92KVzCF70dSxUJjRMJoCBYq4m1KxqVkpmxFXzp8grtV/7NTiE0rxB0Tb0Hj2Oa4hXGlb/IllPWll2pjMNOF9fOI/+OXlbQpSKFrNOHmzw+KudPvnBZwPDcJtbotcC47qF4alRk5JWyO73+/suygzZfAHQbcReFsjvhcg4pO1ZdHUllHI55i/dxc2Fct1AAvttbsxtLVSLquEtNZLd+pCk7o5b0lVPSVaPUjk+8+lw7Di1qVh68gK7yQ5Yz4ogfcTvFuNGebFzO7zTd6IS1d5HdBvKS1xwGad9l1VFTAurIXdFCbSIBFAQrSRZc1EYnxdNfkULn8qPkpx9q8Ljmam4h6JpcVEo69xoOSOYF4tazzxR3u/YdOeR6DQDnNzS9GcSz7AJDlMmEVqTbJR4wbVC5O8bAy6r/Yvj18XqP6VPwB8+rviD0imWt41rCzcOTlMDRAJTvrj1VLjmhxMbfegVzr/JX/nZwBmUlph23O+WubDN0BRfbb85pzOUutwAQnPYDRoULB4zRHCXKoTEADOgcQLiPK4XlOo6nVybGTki8XN29OO4/EoCksm0Of34zSSJiwK1oUTNRsZ35qs/pmG+/zXJC40QCKAhWylS245ixIwaXhqf5YqM7s1dTWRNw/cc2j6FWjbwWXFCqdghuOXaeK3nWTwmVekbyiu52fnKd3OwYGlLRzdTKKjLzF4yNtT0DkB0zynN9rBt3qtaTlLea4oK6r1dc8W7+rvqdwOJUu8ZRxf/ayunOgs0UXK7uQV39KjjuLb5fdCgz1OtIlE5yZIOp8PAM/bPcqXsO3BxXcw4g7rqZVMhKog2nOZ1xjhsrXuDvzHdoDABKhcQjnS+yUf04t2W+AjhnBBDAd8D0q25xThyTeoajVikYoDjKdNWfhBQ1UMpIsDuRAAqClV71eJrxFQsoCu7T6HHl3UxlDzqcX4msq9sloSVsMQIIkBDuzTP+m9mmmkX6rwutPr/csz2fGCayXjOq2TE0pOeo27mMNwqjjoMH9jRxtGP2eMb3HsoZRQdcJR3H135e535Hlz2J7jGIb1z/xu0Vz/FTSon59hxFIGeNwcguDXcLsTWFUsnZ9pMBcE02lTpx5JR4Td4BIRz1GsRhYye2HDEVO3fWROPgnl3ppMhGJRl5Tvd3vvCY4ZQ4OieN5Lyinfn/Hb0buYqvu5onO5ziDtVG0w2iDIzTiARQEKxk6V6+pFG3kCX74yMXcXpb3S4JLYqhVgJYtxyNNbpGd8JHKqV9+o/IVhavtucF3s3NjWWx79Ff+wH/Pdl4IiNV9xyzfSA1n0eh4ELlBhXv1OV17pcdXNpCUijQDfkX++RYvt173vzvMdfjeYZWvE1xUJJD4qgSOeoeALpXHCTzTCoO+mepV/H4D7mh4mX+mxFWGYTjYwBoF9OLEy5xAHhSxhF1olPikBQKLkbdUvMWp8QBMLhLsPnv1r7nCLYjEkBBsJKlSY+3uxvJQRMA0O/93KYxSMYavYAVLXsjT7zuLvJlT4LkXE7t+MWqc5UVhSRKp+hgyGhRDA0ZPnQ4Fbjw59Es8krqFt6uIpvXItr/otZl1D/QywpidKlkpNRe66eoatHnwIxncs92qFUKjmcVkZxp2oHr6P63VUI7xnJE0wuAsxs+5YD6Hg5q7kFR6vgdpwPj2hPm40pHKYvtmof4kSccHkOVogRT+8Upyk3WtTi0sehJz/Iv3UzOy4FklFtXQN6W4q69yfx3tyuOWS4h1CUSQEGw0gvF/2aT+jG8L+1v8tiQoaY1Wl2K9lKc3bK+uzUZlSp+MgziJ8OgFu/09PHy4lCAqZ2XdlfdmnKNnntpH79onufx4jdbFENDuob70L2dD3qDgT+2NzIN7MBND8HhHTjsMRCArI1Xr+90fK03H3cX7o7R84JqCVd+eRYAo5OmXgEqupuSnU7nfja1YJNKarT9chylQuLWPhH4U0S4lEcQ1rQWtK2EUdMA6Ky4yIgs+/YJb4yflxvfGEYyWPsu/9E4ZyoaQKFy4XC3Z9CjwOvaWU6Lo60TCaAgWCnYmEOkIhulUdvksd27JfKdyySe1t/Lb6eb2MhgBdnFk8d0D/KY7kGkejqSWCtgiGnqLq5wO8W555o4ukYcDki87osvZ7P6MYZtn45srL9eoYyEXlZgpOWvhSWkPtMBiMtZTXlpjR6zTprznBwlc7dqLb1zfqK0uID5ZQtYpf4XHpePODQOgIQRd1CIO2FcMt/mrHZft3V15yfNPACH9gK+mpuXL4WYNo09ovrRaXEAbHhiKENjglhwU3enxtHjln+hmpNNdL8JTo2jLRMJoNBqZBWU8+rvx8kptO2GCutZPsojSRL5187jB8NQvt7fvFp79THWmEZq4QwwAF0T+3JEGYdKMnLyDyt2LTuguO3QftfgK5UQJudwcufV9e5Mdkf8nWjtV/wa8aTd4qip+7WTSZZi+Vx/HeuP1iyh4/jyKwAJAyaQKYXgJZVxZO2XdDSco5siHaUDWsFdzdXdkyPBN7DK0N98myMLQdcUHt6ePHyc8txXK7rtFwrwYn/HmU6NIyrIk6V/70ufSH+nxgGASu3sCNo0kQAKrcayXWfZvfk3Dn72z9rNcB3MfGm38CJ/U+/2qBQSh87lczyr0CYxyLKMhgrU6GwyuiJJEpdjTN0CQtJ+sPj1dcR6Ji8vH5IDxgBQunNJA3GY/nRU3qVycWHdwK94Uz+FLw9UTy1+G/gQw7VvkB423jGBVFIolZzraFrg73lsmcN3I18t4KbXeUT3oPn/nRUHQFrn/41WY+3i+uDz/Fl6z7DPcglBsJZIAIVWw6At4kv1QkbnL+dKymYnRmJdl4VATw2TYt2ZqfyN3J+etU0IJTmkuk7nhOs02zwe0GPMdD403MjtZU+RnGlZoipXbnow2vmtpKreXULBFgovX6wbR+WfjuwqMOWaCBQS7Dydx+lLpunFfGUgZ+Qw9Gpvh8VRpfN192CQJRJ0R4iQLwDO67IQG+pFj3bVr4EzE8Bef5vLgZCbOdhzvtNiMLPBcg1BsBWRAAqtRkDpadwl07q7nE3/cVoczRlduS1WYq7LV/TLXkb5lboJjNUqh7yMsu0urH6+vhxPeISzcijL9li7q9e+F/i4noNIVUajlgyc+PPTuvfnrOETlzfoc3mlXeOoqZ2vGyNiAhip2Mex1R8AzklEqwS168QR9361b3Ri4vW3PhE14nDepUaldqXX/Z/Rc/JjTotBEP4XiQRQaDXi89ab/94pZy2GYtutqbNGdZsty399evcdwlEpBhcMnPzDBsmree2dbd3W13TRXnnwAiXaputzOWITiOnhJXK7mDqDBJ/8rs4UtV9ZOqOV+wgtO2XXOK72QIdz/Ff9BoPT30VbXkK/wrU8pfqWwALHb74AIGl67f93YgJ4Q3dT949cfHH3dPyIqCAIjRMJoNB61Ljoq9Fzet0nTgkjSxHMaWMossryLgtKhURW1Rq7E99AA7tZLSXbafPFgKgAJvhm8LpxEam/vN7k8SVenXhbfxMb3EbbNI76dB3zd0plDR2M5zi5f1PtO53Q+xagx5DJZBGIL8UcWfc1fUo286BqJX5Fzqlt1m3YLRyToqtvcGIC6O7pQ+FDKbg+sgsXtWN7AQuC0DSRAAqtiOkif1k2jSZ4HfnKKZtBnnKdz4iKNykLtK6MQo8xfydf9iDYmEP6rpZNVdorAZQkiSkdChmr3ENw6pdNvr7FXp15W38LG93H2DSO+vj6BbAy7J/con2eT9L8rrrX/ruR66NyceF0hKmordvhL7Fmh7g9KFUurB30LQeNnbkk+yApnbvL0jswHE+/UKfGIAhC/UQCKLQelcnIIb9RFMluhOozuZS81vFhVP5p7eBKkL8v+/1MBZfLtrds9LKq84U9Ep5uY/9BsexKe8N5Tu9Z00QcJo5a89Zl3IPsleNYefgi+aU1OoM4aQQQIGr0fabNFxWHCSg3rZ2UFc57a/3bNRFMrniRa7QfUezfzWlxCILwv00kgEKrUbX5ws3Dh52eI8kwBrHtWLrD46iuwWd9suE/1FT1PrZwB0Ut6QxitN+IV4B/AAf8xgJQvLXx9YrKiiJipHMEGbJsHkd9enfwJSHMG63eyA97axasdt7IW2hENMmVmy+qdt86s89qqI8r/xofx/juoSS2/9+ogScIwv8ekQAKrUeNUR7DiPkMrXiLV9Ki0BmMjZ5ma4vKX2CNejZuV45bfW5izz7sUfbiN2Nf1h62vOPG1YwqV343XMN6OanZj9EYv8pENaHgLwqzG94RHJi9hT81z/BAwRt2ieNqkiQxM8mXf6uWMHzjjRj1lRtVnDgCCEBS7bZazix7AnDvkM58eGcSKqV4ixcEoX7i3UFoRSrLryAxIrEzAZ5u5BRpWZ+S7dAoOhrPE6/IQGmwviOJJEkcG76Yh3SP8FFy8wspG9wCmKV7jMflR5t1flO69uxPsqobKsnIqd/fb/jAFoyGNte43p2YpNxBZ/ksKX+tqArE4XHU1H3YLVwkqMYtzk0ABUEQmiISQKHV2BMwiXsrHuN40GjUKgV/u6Y9anSkbvwGjI4bBazuBNK8X58b+3TEzUXJyZxidp/Ja9ZjmAe87JRoSJJEQTdTkekO6d9h1FXUf6A5f3VcwuPu7snRkBsAMO5eDMCm9vfTpfwLNkU82NipdqNUqVgz4Bu2GCo3Bjl5BFAQBKEpIgEUWo0st878abyGK+5RANzWJ4I16tk8cvkFLu5zXAHgmiORzeHt6sKknuF0ki5y9vd3mheBA2Y8e4+5i11yV96pmMTWUzkNxFG5GcXBCU/76x4AoGvpHrLPHseIAh0qZIXKoXHUNHFgInP0f2eC9hWOePRv+gRBEAQncnoCuHr1avr164ebmxt+fn5Mnjy51v3r169n4MCBeHl5ERoayjPPPINe33iB2rS0NG688UaCgoLw9vZmypQpZGfXnibMy8vjzjvvxNvbG19fX2bOnElxcbGtvz3BhqqSHkVlshER4MEp38EAlPz1ocPiMHcCUTQ/6ZmW6Mla9VNMyXmHvLNHrT5fWXCGNM2d7JD+3uwYmuLu5s6apE/50jCaL3Y3sMnDTuVomtKxS3cOaZJQSDJn/3jfGTPRdQR5aRjary+pUicGd+/ivEAEQRAs4NQEcMWKFUydOpUZM2Zw6NAhtm3bxh133GG+/9ChQ4wfP56xY8dy4MABli9fzsqVK5k9e3aDj1lSUsLo0aORJIkNGzawbds2KioqmDhxIsYa04R33nknR48eZe3ataxatYotW7Zw77332vX7FVqmXclRJim2ElBa3e3Bb9j9GGWJ6MJdlFxIcUgczWkFd7X46Cj2a64B4Nwf1o8CykYjSklGiX2nvu/q3xGADcezOX+ltL5IKv90fOal621KfmMu/Ey3nF942+V94i+vc3gcNb0wqStH/j2GLiFeTo1DEAShKU5LAPV6PY888giLFi1i1qxZxMTEkJCQwJQpU8zHLF++nB49evD8888THR3N0KFDee211/jggw8oKiqq93G3bdtGeno6n3/+Od27d6d79+4sXbqUvXv3smHDBgBSUlL4/fffWbx4Mf369WPw4MG89957fPvtt1y4cKHexxWcr0/eKt5Rf0jny5vMt13Tqzc7VX0AyGjmdKq1JBslPdpeMwGIvrASXWm+VefKdmoFd7XoYE+GR3lwi2IjJ35+teE4nLDmLXHElMouHEUMzfiQycrthJSecHgcNUmShKuL0qkxCIIgWMJpCeD+/fvJzMxEoVDQq1cvwsLCGDduHEeOVPfQ1Gq1uLrWbrfl5uZGeXk5+/btq/dxtVotkiSh0VS3HnJ1dUWhULB161YAduzYga+vL3369DEfM2rUKBQKBbt27bLltynYUj0L3yRJoqSnKZHqkPEzxrJCu4eRix9Zsh8oXVr0OH1H3cwZ2uFBGal/WFkY2oFr7x7onMtrLp/S9+wnaEsLat1X6NmZj/UT2Os+xO5xXM3FRc2xqBl8qL+BXYbYylvF5gtBEARLOC0BPH3aVAR3/vz5zJkzh1WrVuHn58ewYcPIyzPtjBwzZgzbt29n2bJlGAwGMjMzeeGFFwC4ePFivY/bv39/PDw8eOaZZygtLaWkpIQnn3wSg8FgPicrK4vg4OBa56lUKvz9/cnKarigrVarpbCwsNaX4EhVmy9q/9gOuO5mTsvheFBG2rpP7R7F3S6L6K/9gAr/uBY9jsZFxemoOwHwO/K5VTuZq0f+7J/w9Bo6mQzC8KSUY2tqv75XfLuyQH8nmz3H2z2O+nSd/CRvGm/nouxvukHsvhUEQbCIzRPA2bNnI0lSo1/Hjx83r8d77rnnuPnmm0lKSmLJkiVIksT3338PwOjRo81TxBqNhpiYGMaPN11oFA20WgoKCuL777/n119/xdPTEx8fH/Lz8+ndu3eD51hqwYIF+Pj4mL8iIiJa9HiClczTjbVv9nRVczziNgAupu5xQBhVawBb/lg9xs+iSHajnSGTM7t+tTwGo2OmgMH04Si9sylRDTy2BNloqI7Dhq9Fc4R4uzKue1j1Dc0szSMIgtDW2Pzd8oknniAlJaXRr6ioKMLCTG/aCQkJ5nM1Gg1RUVFkZFR3Hnj88cfJz88nIyOD3NxcJk2aBEBUVFSDMYwePZq0tDRycnLIzc3lyy+/JDMz03xOaGgoOTm1y1ro9Xry8vIIDW24cfmzzz5LQUGB+evcueZ3chCs19jau4TxsxijXci0y1NJzy2xaxy2LMESFBjAPv8JXJE92ZFszSYWY+V/HZPwdJ3wAEWyGxGG85zYXl1yR6kvob2Ug4/hikPiqM/0AR0ZqjgEgKos12lxCIIgtCY2L5oVFBREUFBQk8clJSWh0WhITU1l8GBTKQ+dTkd6ejodO3asdawkSYSHhwOwbNkyIiIi6N27d5PPERgYCMCGDRvIycnhhhtMxWMHDBhAfn4++/btIykpyXyM0WikX79+DT6eRqOptbZQcLSqzKtu0hMZHkJYTBKpqZf4YsdZnp+YUOcYW3nX8BJu6mLUhUshtFuLHy9gwlwGLJ6A8awb1xVpCfJq+mfMqHJni6E7WqUH17U4Agti9A9ga+D1DL78PfrtH8DgGwGIyPydrZp5HLzcHxjjgEjq6t3RD0lhWroh67ROiUEQBKG1cdp8ibe3N7NmzWLevHn8+eefpKamcv/99wNw6623mo9btGgRycnJHD16lBdffJGFCxfy7rvvolSadtplZmYSFxfH7t27zecsWbKEnTt3kpaWxldffcWtt97KY489RmysaaF4fHw8Y8eO5Z577mH37t1s27aNhx56iNtuu82caAr/g6qmGxu4e9rASADW7z1CSV79a0RtIYE0eitOoTDYJtnoHh1JXEQIFQYj3+xquO9uTRWe7blb9yyzlU/aJAZLhI95FKMs0bV0DxdPHay81fkF+CRJInXSava6DyZk4lynxSEIgtCaOK9sPqbkTqVSMXXqVMrKyujXrx8bNmzAz8/PfMyaNWt4+eWX0Wq1JCYm8ssvvzBu3Djz/TqdjtTUVEpLq2uUpaam8uyzz5KXl0dkZCTPPfccjz32WK3n/vrrr3nooYcYOXIkCoWCm2++mXfffdf+37TQbNv9buCrS50ZGDiE+vosDO0SxNPe65ip/YK0X24nYUYjPWxbwBZ1AK82Y1Akj3x7gJM7fqFiwD9Qe/g2eryM49feRcV0Y4/bQEpKijlxIIN7o3s6tQxMTbG9BkOv1U6NQRAEoTVxagLo4uLC66+/zuuvv97gMVW1+xoSGRlpvghVWbhwIQsXLmz0PH9/f7755hvLgxWc7qxbN34x+tHVs/71nwqFRJeEXmgOfkaHsyswlr2Mws3H5nFIjUxFN9e4bmH4uE1nmGE3yb/r6X5zw8XOoXodoqNH3opv+IQZXxzC66iKO27Q1/ndEwRBEFoHsWVOaDWqUg1FI6NNA8bexmna4UkpJ3//yC5xVD27LQe91CoFxs4jAAg4thTZ0Hi7Q/XlFI5o/s4K/UO2C8ICQ+Pa0SnQg6JyPSv2ned/YQpYEARBsJ5IAIVWo31pCqMVe/AqbXj3taermuOdpgLgd+S/0EQi1Ty2nwIG6DH+PvJlD8INF0jb+kPjBxsNeErluOHYTQ8KhcSMQZGEchn9xleRDDrTHaL+niAIQqsiEkCh1Ria9z2fqN+i4+UtjR7X6/r7yJO9CDbkcHbbtzaPQ5JtPwUMEOjvz4Fg0+5aecd7jR4ry/btAdyYm3uG8Yvr88zUfYNn+h+meMQIoCAIQqsiEkCh1bC0B29YgD97gm4CQN7+fs0FczZRjDuFsjuSZPuer5HjH6NCVtKl/AiZyZsbPtDcC9jxiZeHm4aT4aZENaH8AF/oryPF/RqHxyEIgiA0n0gAhVbE8grMHcf+E63sQmjZKbIyUm0axUj5Q3poF2Pw7dj0wVbq1Cma3V6jAMhb92bDBzoxAQSIGv9PtLJpD9lPhsFs873eKXEIgiAIzSMSQKH1kC3fcBAXHc17AXMYoH2P/x6x7XSpeQbYTsmX1/BHAVDmp3M5v/5+07JDmsA1LLx9J/b7mEpQ/0O12m6vhSAIgmAfIgEUWg1r6+8ljb6DK3jz7e5zFJXrbBaHvWvw9eg9gMd93mK89mW+3JtVfwxOHgEE8B9lqq05Qbkb18tHnRaHIAiCYD2RAAqtiHVNeIfGBNE5yIMirZ5f/9pnsyg+lhbylcvLKEov2ewxa5IkieEjxgISX+w4S7nOUOcYvcqD3cZYjiui7RKDJWJ7VLdNfCZPdOAQBEFoTUQCKLQakhVTwGAqWfJAP3+Wq19g8rZJ6Iov2ySO/tJRBiuPojRW2OTx6jOuWyjtfN0oLylk48Y/6txf7hvNlIp5PO/6tN1isMSxSb9xQorkdN9/OzUOQRAEwTpO7QQiCNbY4j2R7/JjGODfx+JzJvRN4Oy6ctwp59iqN0m47eUWxyFZORLZHCqlgqcStQzb+TCGHWqMw46jULua77f3OkRLJfQaBL0OOTUGQRAEwXpiBFBoNY65J7HMMJJCL8unPV3VKtLj7wWgXepSjOXFNojEPoWgr3bd0KFoJQ0B8hWO/bm4gRjsGoIgCILw/5RIAIVWo2rUq7FWcPUZMPHvnJND8JGLOPFHy9vDVbeCs++vj4e7O8c63AmA74GParWHc885yB7N/bxf1njPYEEQBEGoj0gAhVajXflJrlUcxl2bbdV53u5uHIuaDoD/oY+R9S1bu2ftbuSW6D7pMQpkD9obznNi07LqO4w6gqQCfOX6y8QIgiAIQmNEAii0GpPyl/KleiHhl7ZafW7vGx7kkuxDsPESpzYsbVEc5gTQAevvAgMCOBD2NwDUO9+uLgD9P1AGRhAEQWi9RAIotB5W7gKuKcjPhwPhtwNQun95i8LQoaJCViIrHJN8xU56klJZQyfdKU7t+Nl0o9FU3FoWiwAFQRCEZhAJoNBqtHTqNeGGx3hM/yA35f+T5PMFzY4jTruUGO2X4BHS7MewRlhYO/YGTsIoSxzZvanyVud2AhEEQRBaN5EACq1I5bRnMxPA9mGhyN1uxYCSjzafal4EcnXi5cjBtw43/IvrdIt4NGs0x7MKxRSwIAiC0CIiARRajxZMAVe5f5iphMzaI+dJT09rfggtisJ6kR07EdctCYAPN6Yhy1X9jUUCKAiCIFhPJIBCq2GL3bexoV48GHmBTerHqPj+XqvPl2Ujn7q8zqcur6PQlTQ7juZ4YFhnAA4fPkD+pQscMUaSoYhwaAyCIAjC/w8iARRaDXMHjhaOeo0d3I9g8okp2UvOsS1WnSsbDVyn3M91yv0ojLoWxWGtruE+vBi+nfXqx9EeWcn1Fa/wiqeoAygIgiBYTySAQqux3mMCL+ruIt+va4sep3u3Hmz1uA6A/DUvWnWuXGsO2PG/Pr0Hj0cpyQzXb6eTdNHhzy8IgiD8/yASQKHV2Oc+mP8axlPsbXkruIb4jZmNXlYQU7SbnBTL6wrKRmP1/zihBEvX3oPYq+mHQpJ5QPmLQ4pRC4IgCP//iARQaDWMlaNv1raCq0/PxF5s8xgJQN5vL1l8nkx1Auis5Es17BkAblVt4f0r9zslBkEQBKF1Ewmg0Gq0q0gnSUpFrb1ik8fzGf0sBlkirmgHOce3W3SObKxZBsY5CWBi/xHmv3fmnFNiEARBEFo3kQAKrca0/A9Zofk3Qbk7bPJ4PXsmsd3dlEwlb/zeonNq1wF0TgIoSRI7h31DuezCDu+xTolBEARBaN1Uzg5AaCW0xaD2cMq6t2q278HrNfZ5bvx2CEfOx7Apv4x2vm6NRyA7fwoYoP+wCWTEJJMYEOi0GARBEITWS4wACk0qTNuNcUEEF5c97ORIKkffbJh49UzsiVtUf3QGmQ83Nt0dRFa5E13+BdHlXyCpPWwWR3N0CA/DXePi1BgEQRCE1kkkgEKTzu5ZhQIjYSe+pCwr1WlxVKd9tv2xfWRkFwA27E0m62zj358sSehRoUeFQiF+fQRBEITWSVzBhCaVqXzMf1+S4sQp4Mr1d5LCtjH0iwrgqbCDbFT9kysrHmsiBLnR+wVBEAShNRAJoNC0yqTnD0MfPt6STkGZYztgVFFgv/63g4eMxgU98YXbyD76V4PHybpS3nV5j3dc3kdycCcQQRAEQbAVkQAKTaoa9ZKRKCjTsWTzcecGZIfNF4m9ruEvj9EAFKx+vsHjZL2OG5Q7mKTcboc0VBAEQRAcQySAggVMCaBKKXGXci137ZhAwYltDo/iT9dxLNJNocQGnUDqE3z982hlFTGl+zm3b039B/0PlIERBEEQhJZyegK4evVq+vXrh5ubG35+fkyePLnW/evXr2fgwIF4eXkRGhrKM888g16vb/Qx09LSuPHGGwkKCsLb25spU6aQnZ1tvj89PZ2ZM2fSqVMn3Nzc6Ny5M/PmzaOiosIe32KrZ5BcuCJ74u7ly1DP8wRKBeT92vAomb1sdBvJB4bJlHlH2eXxExK6sc33BgB0f/67VrJnJhvMfxUJoCAIgtBaOTUBXLFiBVOnTmXGjBkcOnSIbdu2cccdd5jvP3ToEOPHj2fs2LEcOHCA5cuXs3LlSmbPnt3gY5aUlDB69GgkSWLDhg1s27aNiooKJk6ciLGyj+vx48cxGo18/PHHHD16lLfeeov//Oc//Otf/7L799wanWp/I720n/BlyGy8xs6hQlbSqWgvl4+sdWgcsrkKjP0Sr043zqVU1hClTSFtW93i0LU7gTj985MgCIIgNIvTCkHr9XoeeeQRFi1axMyZM823JyQkmP++fPlyevTowfPPm0aboqOjee2115gyZQrz5s3Dy8urzuNu27aN9PR0Dhw4gLe3NwBLly7Fz8+PDRs2MGrUKMaOHcvYsdUdFKKiokhNTeWjjz7i9ddft9e33GrJNcrv9euZyB9rxzO29FeKf5tPQNdRDisOHa4/T4WUi0oXB4TY5Tk6RUaxPmgKgy59y1+7DxA16NZaCafxf6QQtCAIgiC0hNOGMPbv309mZiYKhYJevXoRFhbGuHHjOHLkiPkYrVaLq6trrfPc3NwoLy9n37599T6uVqtFkiQ0Go35NldXVxQKBVu3bm0wnoKCAvz9/RuNWavVUlhYWOurLajaBCIhIUkSIRPmUCar6Vh6hJx9Kx0Wx2NFi/hN8y/8cvfY9Xnib53Ldfp3mJ8zmK2ncmvd97/QCk4QBEEQWsppCeDp06cBmD9/PnPmzGHVqlX4+fkxbNgw8vLyABgzZgzbt29n2bJlGAwGMjMzeeGFFwC4ePFivY/bv39/PDw8eOaZZygtLaWkpIQnn3wSg8HQ4DmnTp3ivffe47777ms05gULFuDj42P+ioiIaO6336p0yF7PMpeXGJv3JQC9usaxwXsyALq1/wajoZGzbakyEbVz3hUeEsKo/j0BWPRHaq2kr1YCKApBC4IgCK2Uza9gs2fPRpKkRr+q1uABPPfcc9x8880kJSWxZMkSJEni++9Na69Gjx7NokWLmDVrFhqNhpiYGMaPH28KvIGLb1BQEN9//z2//vornp6e+Pj4kJ+fT+/eves9JzMzk7Fjx3Lrrbdyzz33NPq9PfvssxQUFJi/zp0715KXqtVwL89igPIYYRVnzbdFTZ5DgexOO20aafvWOyQOyZx82T/xenB4NO5qJarMPexbu8x8u9E9gO7li+mh/dTuMQiCIAiCvdh8DeATTzzB9OnTGz0mKirKPBpXc82fRqMhKiqKjIwM822PP/44jz32GBcvXsTPz4/09HSeffZZoqIa3gk6evRo0tLSyM3NRaVS4evrS2hoaJ1zLly4wPDhwxk4cCCffPJJk9+bRqOpNbXcZsh1CzDHd+7IknZP88MZNd4HvPmmj+y4KVEHPE+gp4ZXEs4x+fh88nb4oh88AZW7D6CgCHfnb58XBEEQhBaweQIYFBREUFBQk8clJSWh0WhITU1l8ODBAOh0OtLT0+nYsWOtYyVJIjw8HIBly5YRERFB7969m3yOwMBAADZs2EBOTg433HCD+b7MzEyGDx9uHnkUfV0bU7ULpPat1916Hwve2EzF6ctsTM1hRJx9NmZUkcxxOObfauTEO8g4/jod5CwOrXiZxKmvVUUg1v8JgiAIrZrTsh5vb29mzZrFvHnz+PPPP0lNTeX+++8H4NZbbzUft2jRIpKTkzl69CgvvvgiCxcu5N1330WpVAKmRC4uLo7du3ebz1myZAk7d+4kLS2Nr776iltvvZXHHnuM2NhY8znDhg2jQ4cOvP7661y6dImsrCyysrIc+Aq0IjU6gdTU3s+dGQMjAfh81Ub0RblXn2nrQADHJV9eHh6kJT4FQGzaEoovZUBZPq+qPuFF5WKHxCAIgiAI9uC0MjBgSu5UKhVTp06lrKyMfv36sWHDBvz8/MzHrFmzhpdffhmtVktiYiK//PIL48aNM9+v0+lITU2ltLTUfFtqairPPvsseXl5REZG8txzz/HYY4+Z71+7di2nTp3i1KlTtG/fvlZMcn3Ff9u8GnVgrvLA8GiUe/7Do0VfkrbidmKnf2C3KKrXADpu9G3wxBkcSf6UbsbjHP7uX4RM+jf/1969x0VV5/8Df51hYEBhhkkGEAURL3jJTDARU7PkC6JpmqtbGqlZ/Wht19BKicpuphuP2l/1W3O3C91cU79q3tJAqEzDO6JYYnkJIy4pMoMgA8N8fn8op2ZFQTnDDDOv5+MxD/OczznnfT6yzGvP5fP5s/pr1AmPNquBiIhIaZJg4rlhJpMJOp0ORqNRHnPQFe3+5HkMPfEm9ukScFvK6ivWb92wEol5yaiHGvXJu9EhuJdd6lj296cgqkox5N6/4bao2+xyjKbs3bENQ3L+DKuQcOJ/3kev7Q+hTqjh9eK5NquBiIiU4y7f39fCB9+oWVbJA7XCEw1S0xeMR4/7M/aoBsETFvzyv1efpaW1NniNR7rlPtRpu9vtGE25bUQCcr1HQCUJeH/9AoArb4cTERG1JwyA1Kz8rg+gj/kjrAlZ0OR6L7UKtaOeh1VI6H12OyqO77JLHaLxGUC77P3qJEnCTRMWo8hqwJqLQy7XQkRE1H4xAFKzRAsGYB454k585T0aAGD6/Onf549TUGBDGbpLJVA1XFR8382J7DcQ/7ffKqyzjgAAWPk/HSIiasf4LUbNasxyqmsEQEmS0GnCS6gRGoTXFODMjk8Ur2NxzYv4SjMffmcPK77vlnhyTD9oLr/7wSuARETUnjEAUrN6lmfifc903H5u7TXb3dq/P3IM01EtNPhi/3HF36iWrvE2clsI8ffBn4Z0h1mo0VEyO6QGIiIiJTh0GBhqH3Q1P2OoRx721nZptm3Ufc8h8c3BKPrNH8H5v+KeW5vfpqUah4Fx5CDMD9wVjV3HRqPevycSHFYFERFR6/AKILWYaMEMHCEBN+FPoy69KLF06zHU1FmUL8SBAdDP1xd3Pb0aCY++6rAaiIiIWosBkJolrnMA5kdHRqCr3gfdq/aj4KN5itUhtfFMIERERK6KAZBa4PqevfP29MArd/jhE88lGFL8EcoPb1e4Dv7YEhERtQa/Sal5N/Ayxx0xg5HTcRwAwLz5acDa0OoyeAWQiIhIGQyA1AKXgpe4juAlSRLCpyyGUXRAaN0JnNjW+jmCv1CPRoYlAfU+ga3eFxERkTtjAKRmSdf5DGCjXt3DsbProwAAw96/o85Y1qo6PlJPwYuWGbBoQ1u1HyIiInfHAEjN2hX6KLrXfoqtXVOue9vh9y/EMYRDiws48Z/5rapDyI8i8hYwERFRazAAUrMEJAioIKk8rntbna8PSoa/CquQ0LdsE0oL995wHTeJ8whCBVQNdTe8DyIiIuJA0NQCopUTn40aPRbrD92H7RUGmL8D3ustbugq3nvmpxDkfQ4/nt8EhPM5QCIiohvFK4DUrD6/fYn/5/kWBlZsvaHtJUnCLQ+mI0uKRXbhb8j8/saeBXT0VHBERESuggGQmmWo+Ql3e+xG55rjN7yPnoF+eGREBADgjQ27UXOu+Ib3xWcAiYiIWocBkJolhPXSn60cgPmvd/XCZO0P+I/5cZz59LHr3l6+AnidbyMTERGRLQZAapZ0AwNBN8XHywNT74qBFjWIPP8NzuxZd311cCBoIiIiRTAAUsspELxiho5Ajn4yAMD7y6fRcNF0A3Vc/9vIRERE9DsGQGre5VvASt16vfWBpTgjgmCw/obCFU+2eLvfrwAqUgYREZHbYgCkllMoeQUFdMLxIa8AAPr9sgplR75q0XZbpZFYabkTwluvSB1ERETuigGQWkD5ly/uTJyCnA4JAICGDY9D1F9sdps3VDOQankEDX6dFauDiIjIHTEAUrOyQx5D/9r3sSv0EcX2qVJJ6DntHygXenxd2xvr9xc1u424/DIK7wATERG1DgMgNcui8kQ1fGBVaRTdb1jXLtg6cgOesTyMRV+eRpmp9prtfUU1tKiGJBoUrYOIiMjdMABSs4QdJ+CYPmoABnbVoarWgufWH4FosFy17RYxB4e9H4Gn8bTyhRAREbkRBkBq1s3ntiFdvRy9zn2t+L7VHir8/U+3oJvqLB74KQXH1i2+RuvLt4BVvAlMRETUGgyA1KzQ6gJMUe9AUE2hXfbfJ1iL1P7nMNLjCHocfQvnThxssh1nAiEiIlIGAyBdB/v9uNw1dS72eA6BFyyo/uxhCIv5ijaSfCuaP7ZEREStwW9Sal7jQNB2HIHZy9MDne5fjvPCD2H1J/D9Z2lXtOFUcERERMpgAKTrYN/g1TOiB/YPeA4A0OfH91D2/c7/OjoDIBERkRIcHgC3bNmCmJgY+Pj4QK/XY+LEiTbrs7OzMWzYMPj5+SE4OBgLFiyAxXL1N0UB4MSJE5g0aRIMBgO0Wi2mTp2KsrKyJtuazWbceuutkCQJhw4dUuisXE3jvVf7H+muex/Ft953wkMSaFj7KKzm6iZaOfzHloiIqF1z6Dfp2rVrkZSUhFmzZiE/Px+7du3CtGnT5PX5+fkYO3YsxowZg7y8PKxatQobN27EwoULr7rP6upqxMfHQ5Ik5OTkYNeuXairq8P48eNhtVqvaP/0008jJCTELufnMhrHgWmDHxcPlYTwpGUoE3pU1wNrvt4vr9sqYrGhYRjg1cHudRAREbkytaMObLFYMHfuXKSnp2P27Nny8n79+sn/vWrVKtxyyy14/vnnAQA9e/bEa6+9hqlTp2LRokXw8/O7Yr+7du3C6dOnkZeXB61WCwD46KOPoNfrkZOTg7i4OLnt1q1bkZmZibVr12Lr1q32OtV2T2rDK4AAENolBFtGfIB5240Q39Zg0K1V6B3kh2esyTBbrNjZMaBtCiEiInJRDrsCePDgQRQXF0OlUmHQoEHo3LkzEhMTUVBQILcxm83w9va22c7Hxwe1tbU4cOBAk/s1m82QJAkaze+zVnh7e0OlUmHnzt+fKSsrK8MjjzyCTz75BB06tOyKktlshslksvm4gy3BczC49h0c7jqt+cYKGTv6TsRGdkGdxYq/rcxDbZ3l90Fg+AwgERFRqzgsAJ48eRIA8MILL+DZZ5/F5s2bodfrMWrUKFRUVAAAEhIS8N1332HlypVoaGhAcXExXnrpJQBASUlJk/sdOnQoOnbsiAULFqCmpgbV1dV48skn0dDQIG8jhMDMmTORnJyMwYMHt7jmJUuWQKfTyZ/Q0NDWdEG7UavqiLPQwaLu2GbHlCQJr/3pFhg6eODO31bgp3emwlPUwxMWSPItaSIiIroRigfAhQsXQpKka36OHTsmP4+XlpaGyZMnIzo6GhkZGZAkCWvWrAEAxMfHIz09HcnJydBoNOjduzfGjh17qXBV06UbDAasWbMGmzZtgq+vL3Q6HSorKxEVFSVv8/bbb6OqqgqpqanXdW6pqakwGo3y58yZMzfaTe2K1UGBK9DPG28n+CFFvQY3n8/GUc8k/Oj9IDxqSh1SDxERkatQ/BnA+fPnY+bMmddsExERIV+N++MzfxqNBhERESgqKpKXzZs3DykpKSgpKYFer8fp06eRmpqKiIiIq+4/Pj4eJ06cwNmzZ6FWq+Hv74/g4GB5m5ycHOTm5trcJgaAwYMHY/r06fjoo4+a3K9Go7liG3cwqDITN6v3QH9+IoCebXrsoTG3I/NwMuKL/ykvkzgTCBERUasoHgANBgMMBkOz7aKjo6HRaFBYWIjhw4cDAOrr63H69Gl069bNpq0kSfKbuitXrkRoaCiioqKaPUZAwKWXBXJyclBeXo4JEyYAAN566y288sorcrtff/0VCQkJWLVqFWJiYlp2om6k14X9uE2dhdwLfR1y/JEzXkTeazsxyJIPgM8AEhERtZbD3gLWarVITk7GokWLEBoaim7duiE9PR0AMGXKFLldeno6xowZA5VKhXXr1mHp0qVYvXo1PDw8AADFxcUYPXo0Pv74YwwZMgQAkJGRgb59+8JgMCA3Nxdz585FSkoKIiMjAQBhYWE2tfj6+gIAevToga5du9r93NsfeQ42hxzd28sTuvvfQ93HsaiBBh20nRxSBxERkatwWAAELoU7tVqNpKQkXLx4ETExMcjJyYFer5fbbN26FYsXL4bZbMbAgQOxYcMGJCYmyuvr6+tRWFiImpoaeVlhYSFSU1NRUVGB8PBwpKWlISUlpU3PzbXI7986rIKIHr1xcnYeas316Od75fA/RERE1HKSEHyl8kaZTCbodDoYjUZ5zEFXtP+NP2GwKQu5PVMQ+8ALji6HiIioVdzl+/taOKcWtcDlOXj58gUREZFLYACkluPLF0RERC6BAZCaJxz7EggREREpiwGQmrU28HGMMP8DP4bc4+hSiIiISAEMgNQsk4c/zoggWDz59i0REZErYACk5jXeAXZsFURERKQQh44DSO3DbaZMDFAXINA4BUB3R5dDRERErcQrgNSsWy7sQrJ6EzpVHXN0KURERKQABkBqAcfPBEJERETKYQCkZkmXA6DgMDBEREQugQGQmic4EwgREZErYQCkFuBA0ERERK6EAZBaTGIAJCIicgkMgE7utyoz6ixWh9Yg8QogERGRS2EAdGIlxouIXZKN8W/vhLGm3mF1rLjpcSSYl6I4OM5hNRAREZFyGACd2Llju/CN5+N4rmIhHvlkP8z1FofUcdYjEIUiDPVe/g45PhERESmLAdCJSRYzukjnECRVQv3zDvzy+h2w1lS2eR2NowDyJWAiIiLXwADoxAQuPfvnJTUg3fPf6FFbgJ+XTwYsdW1ax9AL2ZjrsRb+Js4EQkRE5AoYAJ3Z5fH3rB4aFI56B9VCg+6m/fjp/YfkdW1hWPV2pHiuhb/peJsdk4iIiOyHAdCZXQ55AhLuujMeOQPSYREq9CzZhJ9WpbZlIQA4EDQREZGrYAB0Zv91le/uyQ9iY+iTAICex97Bz1+83iZlSILDwBAREbkSBkAn1vgMoLh85U2SJEyYlYrP/WcAALrtfQmn9m5uk0ouF9AGxyIiIiJ7YwB0Yg0eHXHc2gUlHp3lZWoPFcb85Q180eEerGsYjj9v88BP5RfsWkfjQNCcCYSIiMg1MAA6MaMhCvF16Vji94zNcm8vNUb89V18aFiA8horkt7fg1/O19ivkMY70QyARERELoEB0IlZReOVtyvX+flo8OHsoegZ6IsyYw12/fP/4PxP++1UCW8BExERuRIGQGfWmLuu8vbtTR298OnsGCz0/QJ/tmyEtOJeVJ05qngZH2jnYJL5RZwzDFN830RERNT2GACdmK58D7Z7PYmnq5ZetU2wzhsJs57HD4iAvzCiPmMcLhR/r2gdv3iGIU/0Qr23XtH9EhERkWMwADoxVX01eqp+RZC17JrtunXpDI+Zn+M4uuEm63mY378bF0oKlSukmSuRRERE1L4wADqz65jto3d4N1iTPsdPCEUn6znUvjsWF0p/VKSMYRe/wiMem9HxwmlF9kdERESOxQDozP4wE0hL9OkRgfrpn+MkuiDAehZV707AhZrWvx2cULMJaZ7/gZZTwREREbkEBkAnJkTjQNAt/2fq26sn6qZ/juMIQ9rFaZj50SFcMFtaVYccP/kWMBERkUtweADcsmULYmJi4OPjA71ej4kTJ9qsz87OxrBhw+Dn54fg4GAsWLAAFsu1A82JEycwadIkGAwGaLVaTJ06FWVlVz5H19yxHU9++O669OnVG+aHvsF+ryHY//N5zMrYi6qLda0oo/FWtMN/XIiIiEgBDv1GX7t2LZKSkjBr1izk5+dj165dmDZtmrw+Pz8fY8eOxZgxY5CXl4dVq1Zh48aNWLhw4VX3WV1djfj4eEiShJycHOzatQt1dXUYP348rFZri4/tFK7zFvAfDQi7CZ8+HAM/bzVKfz6Gktdvh7Go4IbKkC5PSccLgERERK5BEuI63jRQkMViQXh4OF588UXMnj27yTbPPPMMsrKysG/fPnnZpk2bMHXqVJSXl8PPz++KbTIzM5GYmIjz589Dq9UCAIxGI/R6PTIzMxEXF9eiY7eEyWSCTqeD0WiUj6Wk/dtXI2jHM/jFJxKxqVtuaB8FxUace3cS7sABVEo6WB9Yj5t6RF/XPo6/cht6W47j0O3v4Nb/cbKQTEREdJ3s/f3dHjjsCuDBgwdRXFwMlUqFQYMGoXPnzkhMTERBwe9XqcxmM7y9vW228/HxQW1tLQ4cONDkfs1mMyRJgkajkZd5e3tDpVJh586dLT62MygPGoERdW/iH/pnb3gfN3fRoeusD+VxAj0/GY/yH3be2M54CZCIiMglOCwAnjx5EgDwwgsv4Nlnn8XmzZuh1+sxatQoVFRUAAASEhLw3XffYeXKlWhoaEBxcTFeeuklAEBJSUmT+x06dCg6duyIBQsWoKamBtXV1XjyySfR0NAgb9OSYzfFbDbDZDLZfOxJvjbbytzVo1sYfB/disOqPvBDNTqumoyS/OwWby9xKjgiIiKXongAXLhwISRJuubn2LFj8vN4aWlpmDx5MqKjo5GRkQFJkrBmzRoAQHx8PNLT05GcnAyNRoPevXtj7NixlwpXNV26wWDAmjVrsGnTJvj6+kKn06GyshJRUVHyNi05dlOWLFkCnU4nf0JDQxXrt6aIy8FLidgVGhKMwMe24KDHLeiIWujX34ei7/63Rdsu6zgH99eloSpgoAKVEBERkaMpHgDnz5+PH3744ZqfiIgIdO7cGQDQr18/eVuNRoOIiAgUFRXJy+bNm4fKykoUFRXh7NmzuOeeewAAERERV60hPj4eJ06cQHl5Oc6ePYtPPvkExcXF8jYtPfZ/S01NhdFolD9nzpy5gR5quU5lu7DRKw0PG99WZH/BhgCEPb4JezxvgzfqUPHl3/Hdj+XNbvejuidyrf1h0XRSpA4iIiJyLLXSOzQYDDAYDM22i46OhkajQWFhIYYPHw4AqK+vx+nTp9GtWzebtpIkISQkBACwcuVKhIaGIioqqtljBAQEAABycnJQXl6OCRMmXPex/0ij0dg8W2hvnnWVuEV1Ckctyj2gGqD3h+fcjVi7PAWLz45C1Yf78frUWzFhYMhVt1HqVjQRERE5B4c9A6jVapGcnIxFixYhMzMThYWFeOyxxwAAU6ZMkdulp6fjyJEjOHr0KF5++WUsXboUb731Fjw8PAAAxcXF6NOnD/bu3Stvk5GRgd27d+PEiRP49NNPMWXKFKSkpCAyMvK6ju1wjcPAKPzsnc63A8bNXYbYAZGobxD428o8bPv8E8Da0GT74eZv8YBHFryrm37ukoiIiNoXxa8AXo/09HSo1WokJSXh4sWLiImJQU5ODvR6vdxm69atWLx4McxmMwYOHIgNGzYgMTFRXl9fX4/CwkLU/GHKs8LCQqSmpqKiogLh4eFIS0tDSkrKdR/b4ew4Qo+3pwfevn8QDH4aXNyTgTGH3sUPP69F5GMrofLysWk7tXY1eniewuGqkQD4HCAREVF757BxAF2B3ccB3Lgcgw8uwBHNIAxI/Vrx/QOAEALb//dfGFmQBo1kwQnv/uiSvA7e/sFym5MvDUSE9TQO3/khbrljkl3qICIiaiscB5Bzezm5xlvA9vtnkiQJ/zMlGftufxdG0RE9ao/C+NZInDud/3sbuS1/XIiIiFwBv9GdmWicus7+b18Mj78XJ+/5HEUIQpC1DJoPx6Bo76bGQi5VwZdAiIiIXAIDoBOzqDQ4K7SoUfm2yfEGRQ2BmL0dh1X94IsadN4yA7v27pPnAmYCJCIicg0OfQmEru1M5wTcZ+6MUeEGDG2jY3YLDYPxiSzsWD4DB4w6vLW+HJme1kv/V4EBkIiIyCXwCqATc9TwezqtL2LnrcZv0U9AiN+ngpP440JEROQSeAXQmclT8Lb9lTdPtQcWTxqAnoF+ePaLh9ARF/FkcL/mNyQiIiKnxwDoxILLvsEqr7dx9vwgALe1+fElScJDw7tjUNjD+LH8AvpEdG3zGoiIiEh5DIBOzNv8G4aojuFQvWMHpx4UpsegMCcaIJuIiIhahQ91ObPGqeA4CS8REREpiAHQiXGSFiIiIrIHBkCn5qj3gImIiMiVMQA6MyG/BuzYOoiIiMilMAA6M/kZQP4zERERkXKYLJyYVVKhRmhgUXk5uhQiIiJyIRwGxokd7/on3H+wL8YFd8YQRxdDRERELoNXAJ2Y/BYwHwEkIiIiBTEAOjG+A0xERET2wFvATiy07Ct86PkhjBUxAKIcXQ4RERG5CF4BdGK+tcUY5ZGPLuYTji6FiIiIXAgDoDMT1kt/chxAIiIiUhADoBOTOBUcERER2QEDoBP7Pf7xCiAREREphwHQmV2+BSx4C5iIiIgUxADozAQHgiEiIiLlMQA6MfkWMK8AEhERkYIYAJ1YXtgMhNf+B6tDUh1dChEREbkQBkAnJs8Ep+IVQCIiIlIOA2A7IPEZQCIiIlIQp4JzYhHl27HMcy1qK0YCuMXR5RAREZGLYAB0Yv41pxDrsRd7a4McXQoRERG5EN4CbgcEbwETERGRghgAnZh0eSBoicPAEBERkYIcHgC3bNmCmJgY+Pj4QK/XY+LEiTbrs7OzMWzYMPj5+SE4OBgLFiyAxWK55j5PnDiBSZMmwWAwQKvVYurUqSgrK7Npc/z4cdxzzz0ICAiAVqvF8OHD8dVXXyl9eq0iLr8GzCuAREREpCSHBsC1a9ciKSkJs2bNQn5+Pnbt2oVp06bJ6/Pz8zF27FiMGTMGeXl5WLVqFTZu3IiFCxdedZ/V1dWIj4+HJEnIycnBrl27UFdXh/Hjx8Nqtcrt7r77blgsFuTk5ODAgQMYOHAg7r77bpSWltr1nK8PZwIhIiIi5UlCyPONtSmLxYLw8HC8+OKLmD17dpNtnnnmGWRlZWHfvn3ysk2bNmHq1KkoLy+Hn5/fFdtkZmYiMTER58+fh1arBQAYjUbo9XpkZmYiLi4OZ8+ehcFgwI4dOzBixAgAQFVVFbRaLbKyshAXF9eiczCZTNDpdDAajfKxlLT7vXkY+sv72BNwL2Iez1B8/0RERO7I3t/f7YHDrgAePHgQxcXFUKlUGDRoEDp37ozExEQUFBTIbcxmM7y9vW228/HxQW1tLQ4cONDkfs1mMyRJgkajkZd5e3tDpVJh586dAIBOnTohMjISH3/8Maqrq2GxWPCvf/0LgYGBiI6OvmrNZrMZJpPJ5mNPAg7J5kREROTiHBYAT548CQB44YUX8Oyzz2Lz5s3Q6/UYNWoUKioqAAAJCQn47rvvsHLlSjQ0NKC4uBgvvfQSAKCkpKTJ/Q4dOhQdO3bEggULUFNTg+rqajz55JNoaGiQt5EkCdu3b0deXh78/Pzg7e2NN954A9u2bYNer79qzUuWLIFOp5M/oaGhSnbJFXK7PIw+tRnI7Po3ux6HiIiI3IviAXDhwoWQJOman2PHjsnP46WlpWHy5MmIjo5GRkYGJEnCmjVrAADx8fFIT09HcnIyNBoNevfujbFjx14qXNV06QaDAWvWrMGmTZvg6+sLnU6HyspKREVFydsIITBnzhwEBgbi22+/xd69ezFx4kSMHz/+qsESAFJTU2E0GuXPmTNnlOy6KzSoPFALDRpUXnY9DhEREbkXxQeCnj9/PmbOnHnNNhEREXLQ6tevn7xco9EgIiICRUVF8rJ58+YhJSUFJSUl0Ov1OH36NFJTUxEREXHV/cfHx+PEiRM4e/Ys1Go1/P39ERwcLG+Tk5ODzZs32zwnuGzZMmRlZeGjjz666ksmGo3G5tayvclzAfMdECIiIlKQ4gHQYDDAYDA02y46OhoajQaFhYUYPnw4AKC+vh6nT59Gt27dbNpKkoSQkBAAwMqVKxEaGoqoqKhmjxEQEADgUuArLy/HhAkTAAA1NTUArryKqFKpbN4UdrTIc9vxuudWSBVxAPo7uhwiIiJyEQ6bCk6r1SI5ORmLFi1CaGgounXrhvT0dADAlClT5Hbp6ekYM2YMVCoV1q1bh6VLl2L16tXw8PAAABQXF2P06NH4+OOPMWTIEABARkYG+vbtC4PBgNzcXMydOxcpKSmIjIwEAMTGxkKv12PGjBl4/vnn4ePjg3fffRenTp3CuHHj2rgnri7wQiFiPXZid01XR5dCRERELsShcwGnp6dDrVYjKSkJFy9eRExMDHJycmxexNi6dSsWL14Ms9mMgQMHYsOGDUhMTJTX19fXo7CwUL6qBwCFhYVITU1FRUUFwsPDkZaWhpSUFHl9QEAAtm3bhrS0NNx1112or69H//79sWHDBgwcOLBtTr5FGq9G8h4wERERKcdh4wC6AruPA7j8LxhaugK7g6dhaPI7iu+fiIjIHXEcQCeYCo6uQfAKIBERESmPAbA9YP4jIiIiBTEAOrXGu/P8ZyIiIiLlMFk4Mw4ESERERHbAAOjEckIeQVTtcuR2meXoUoiIiMiFMAA6sTpVB1RAC4u6g6NLISIiIhfCANgOSHwLhIiIiBTk0IGg6dr6VWThFfUOdDw/FkCko8shIiIiF8EA6MTCLuRjqDobuy+EO7oUIiIiciG8BezU+BYwERERKY8B0IlJ8ix9DIBERESkHAZAp8YrgERERKQ8BkBnxiuAREREZAcMgE5M4hVAIiIisgMGQGcmXwEkIiIiUg4DoBPbGpSM22vfxJGu9zm6FCIiInIhDIBOrFqtRTEMqFP7OboUIiIiciEMgE5M8BFAIiIisgPOBOLEbqnMRi/1fgSdnwCgp6PLISIiIhfBAOjEIi/swRD1Nuyu6uHoUoiIiMiF8BawE+MwMERERGQPDIBOrTEA8p+JiIiIlMNk4cQkYb30p4PrICIiItfCANgOCN4CJiIiIgUxADozzgVMREREdsAA6MT4EggRERHZAwOgE1sXkIw482s42fluR5dCRERELoTjADqxSk8DfhIW1Hn5O7oUIiIiciG8AujExOVnACXeAiYiIiIF8QqgE4syfYVIdQEMRiuAcEeXQ0RERC6CVwCdWNSFbzBXvR6dqr53dClERETkQhwaAL/++mtIktTkZ9++fXK7w4cPY8SIEfD29kZoaChee+21ZvddVFSEcePGoUOHDggMDMRTTz0Fi8VyxfGjoqKg0WjQs2dPfPjhh0qfYitxGBgiIiJSnkNvAQ8bNgwlJSU2y5577jlkZ2dj8ODBAACTyYT4+HjExcVh+fLlOHLkCB566CH4+/vj0UcfbXK/DQ0NGDduHIKDg/Hdd9+hpKQEDz74IDw9PfHqq68CAE6dOoVx48YhOTkZK1asQHZ2Nh5++GF07twZCQkJ9j3xFmqcCYRTwREREZGSHBoAvby8EBwcLP+9vr4eGzZswF//+lf5xYcVK1agrq4OH3zwAby8vNC/f38cOnQIb7zxxlUDYGZmJr7//nts374dQUFBuPXWW/Hyyy9jwYIFeOGFF+Dl5YXly5eje/fueP311wEAffv2xc6dO/GPf/zDaQIgrwASERGRPTjVpaWNGzfi3LlzmDVrlrwsNzcXI0eOhJeXl7wsISEBhYWFOH/+fJP7yc3NxYABAxAUFGSzjclkwtGjR+U2cXFxNtslJCQgNzf3qvWZzWaYTCabjz1sKyjBv99bhi41xwDwLWAiIiJSllMFwPfffx8JCQno2rWrvKy0tNQmyAGQ/15aWtrkflqyzdXamEwmXLx4scn9LlmyBDqdTv6EhoZex9m13LHSKvx26ggCUQEAUPsZ7HIcIiIick92CYALFy686ssdjZ9jx47ZbPPLL7/gyy+/xOzZs+1RkiJSU1NhNBrlz5kzZ+xynBG9DOg/bCx295qP/VF/x4A7p9rlOEREROSe7PIM4Pz58zFz5sxrtomIiLD5e0ZGBjp16oQJEybYLA8ODkZZWZnNssa///H5wf/eZu/evdfc5mr71Wq18PHxaXK/Go0GGo3mWqeliOhuekR3Gw9gvN2PRURERO7HLgHQYDDAYGj5bUshBDIyMuQ3df8oNjYWaWlpqK+vl9dlZWUhMjISer2+yf3FxsZi8eLFKC8vR2BgoLyNVqtFv3795DZffPGFzXZZWVmIjY1tcd1ERERE7ZFTPAOYk5ODU6dO4eGHH75i3bRp0+Dl5YXZs2fj6NGjWLVqFd58803MmzdPbrN+/Xr06dNH/nt8fDz69euHpKQk5Ofn48svv8Szzz6LOXPmyFfwkpOTcfLkSTz99NM4duwYli1bhtWrVyMlJcX+J0xERETkQE4RAN9//30MGzbMJsQ10ul0yMzMxKlTpxAdHY358+fj+eeftxkCxmg0orCwUP67h4cHNm/eDA8PD8TGxuKBBx7Agw8+iJdeeklu0717d2zZsgVZWVkYOHAgXn/9dbz33ntONAQMERERkX1IQgjRfDNqislkgk6ng9FohFardXQ5RERE1AL8/naSK4BERERE1HYYAImIiIjcDAMgERERkZthACQiIiJyMwyARERERG6GAZCIiIjIzTAAEhEREbkZBkAiIiIiN8MASERERORm1I4uoD1rnETFZDI5uBIiIiJqqcbvbXeeDI0BsBWqqqoAAKGhoQ6uhIiIiK5XVVUVdDqdo8twCM4F3ApWqxW//vor/Pz8IEmSovs2mUwIDQ3FmTNn3HaewrbAfm4b7Oe2wX5uO+zrtmGvfhZCoKqqCiEhIVCp3PNpOF4BbAWVSoWuXbva9RharZa/XNoA+7ltsJ/bBvu57bCv24Y9+tldr/w1cs/YS0REROTGGACJiIiI3AwDoJPSaDRYtGgRNBqNo0txaezntsF+bhvs57bDvm4b7Gf74UsgRERERG6GVwCJiIiI3AwDIBEREZGbYQAkIiIicjMMgERERERuhgHQCf3zn/9EeHg4vL29ERMTg7179zq6pHZlyZIluO222+Dn54fAwEBMnDgRhYWFNm1qa2sxZ84cdOrUCb6+vpg8eTLKysps2hQVFWHcuHHo0KEDAgMD8dRTT8FisbTlqbQrS5cuhSRJeOKJJ+Rl7GdlFBcX44EHHkCnTp3g4+ODAQMGYP/+/fJ6IQSef/55dO7cGT4+PoiLi8OPP/5os4+KigpMnz4dWq0W/v7+mD17Ni5cuNDWp+K0Ghoa8Nxzz6F79+7w8fFBjx498PLLL9vMFct+vjE7duzA+PHjERISAkmS8Pnnn9usV6pfDx8+jBEjRsDb2xuhoaF47bXX7H1q7Zsgp/LZZ58JLy8v8cEHH4ijR4+KRx55RPj7+4uysjJHl9ZuJCQkiIyMDFFQUCAOHTokxo4dK8LCwsSFCxfkNsnJySI0NFRkZ2eL/fv3i6FDh4phw4bJ6y0Wi7j55ptFXFycyMvLE1988YUICAgQqampjjglp7d3714RHh4ubrnlFjF37lx5Ofu59SoqKkS3bt3EzJkzxZ49e8TJkyfFl19+KX766Se5zdKlS4VOpxOff/65yM/PFxMmTBDdu3cXFy9elNuMGTNGDBw4UOzevVt8++23omfPnuL+++93xCk5pcWLF4tOnTqJzZs3i1OnTok1a9YIX19f8eabb8pt2M835osvvhBpaWli3bp1AoBYv369zXol+tVoNIqgoCAxffp0UVBQIFauXCl8fHzEv/71r7Y6zXaHAdDJDBkyRMyZM0f+e0NDgwgJCRFLlixxYFXtW3l5uQAgvvnmGyGEEJWVlcLT01OsWbNGbvPDDz8IACI3N1cIcekXlkqlEqWlpXKbd955R2i1WmE2m9v2BJxcVVWV6NWrl8jKyhJ33HGHHADZz8pYsGCBGD58+FXXW61WERwcLNLT0+VllZWVQqPRiJUrVwohhPj+++8FALFv3z65zdatW4UkSaK4uNh+xbcj48aNEw899JDNsnvvvVdMnz5dCMF+Vsp/B0Cl+nXZsmVCr9fb/N5YsGCBiIyMtPMZtV+8BexE6urqcODAAcTFxcnLVCoV4uLikJub68DK2jej0QgAuOmmmwAABw4cQH19vU0/9+nTB2FhYXI/5+bmYsCAAQgKCpLbJCQkwGQy4ejRo21YvfObM2cOxo0bZ9OfAPtZKRs3bsTgwYMxZcoUBAYGYtCgQXj33Xfl9adOnUJpaalNP+t0OsTExNj0s7+/PwYPHiy3iYuLg0qlwp49e9ruZJzYsGHDkJ2djePHjwMA8vPzsXPnTiQmJgJgP9uLUv2am5uLkSNHwsvLS26TkJCAwsJCnD9/vo3Opn1RO7oA+t3Zs2fR0NBg82UIAEFBQTh27JiDqmrfrFYrnnjiCdx+++24+eabAQClpaXw8vKCv7+/TdugoCCUlpbKbZr6d2hcR5d89tlnOHjwIPbt23fFOvazMk6ePIl33nkH8+bNwzPPPIN9+/bhb3/7G7y8vDBjxgy5n5rqxz/2c2BgoM16tVqNm266if182cKFC2EymdCnTx94eHigoaEBixcvxvTp0wGA/WwnSvVraWkpunfvfsU+Gtfp9Xq71N+eMQCSS5szZw4KCgqwc+dOR5fics6cOYO5c+ciKysL3t7eji7HZVmtVgwePBivvvoqAGDQoEEoKCjA8uXLMWPGDAdX5zpWr16NFStW4D//+Q/69++PQ4cO4YknnkBISAj7mVwSbwE7kYCAAHh4eFzxlmRZWRmCg4MdVFX79fjjj2Pz5s346quv0LVrV3l5cHAw6urqUFlZadP+j/0cHBzc5L9D4zq6dIu3vLwcUVFRUKvVUKvV+Oabb/DWW29BrVYjKCiI/ayAzp07o1+/fjbL+vbti6KiIgC/99O1fm8EBwejvLzcZr3FYkFFRQX7+bKnnnoKCxcuxH333YcBAwYgKSkJKSkpWLJkCQD2s70o1a/8XXL9GACdiJeXF6Kjo5GdnS0vs1qtyM7ORmxsrAMra1+EEHj88cexfv165OTkXHFbIDo6Gp6enjb9XFhYiKKiIrmfY2NjceTIEZtfOllZWdBqtVd8Gbur0aNH48iRIzh06JD8GTx4MKZPny7/N/u59W6//fYrhjE6fvw4unXrBgDo3r07goODbfrZZDJhz549Nv1cWVmJAwcOyG1ycnJgtVoRExPTBmfh/GpqaqBS2X4lenh4wGq1AmA/24tS/RobG4sdO3agvr5ebpOVlYXIyEje/r0aR7+FQrY+++wzodFoxIcffii+//578eijjwp/f3+btyTp2h577DGh0+nE119/LUpKSuRPTU2N3CY5OVmEhYWJnJwcsX//fhEbGytiY2Pl9Y3Dk8THx4tDhw6Jbdu2CYPBwOFJmvHHt4CFYD8rYe/evUKtVovFixeLH3/8UaxYsUJ06NBBfPrpp3KbpUuXCn9/f7FhwwZx+PBhcc899zQ5jMagQYPEnj17xM6dO0WvXr3cfniSP5oxY4bo0qWLPAzMunXrREBAgHj66aflNuznG1NVVSXy8vJEXl6eACDeeOMNkZeXJ37++WchhDL9WllZKYKCgkRSUpIoKCgQn332mejQoQOHgbkGBkAn9Pbbb4uwsDDh5eUlhgwZInbv3u3oktoVAE1+MjIy5DYXL14Uf/nLX4RerxcdOnQQkyZNEiUlJTb7OX36tEhMTBQ+Pj4iICBAzJ8/X9TX17fx2bQv/x0A2c/K2LRpk7j55puFRqMRffr0Ef/+979t1lutVvHcc8+JoKAgodFoxOjRo0VhYaFNm3Pnzon7779f+Pr6Cq1WK2bNmiWqqqra8jScmslkEnPnzhVhYWHC29tbREREiLS0NJthRdjPN+arr75q8nfyjBkzhBDK9Wt+fr4YPny40Gg0okuXLmLp0qVtdYrtkiTEH4Y5JyIiIiKXx2cAiYiIiNwMAyARERGRm2EAJCIiInIzDIBEREREboYBkIiIiMjNMAASERERuRkGQCIiIiI3wwBIRERE5GYYAImIiIjcDAMgERERkZthACQiIiJyMwyARERERG6GAZCIiIjIzTAAEhEREbkZBkAiIiIiN8MASERERORmGACJiIiI3AwDIBEREZGbYQAkIiIicjMMgERERERuhgGQiIiIyM0wABIRERG5GQZAIiIiIjfDAEhERETkZhgAiYiIiNwMAyARERGRm2EAJCIiInIzDIBEREREboYBkIiIiMjNMAASERERuRkGQCIiIiI38/8BpPXhmiq58pwAAAAASUVORK5CYII=' width=640.0/>\n",
" </div>\n",
" "
],
"text/plain": [
"Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"decay = math.exp(-dt / tau_mem)\n",
"u_exp = []\n",
"u_exp_last = u_leak\n",
"for t, i in enumerate(isyn):\n",
" u_exp_new = (decay * u_exp_last) + ((1 - decay) * (u_leak + i))\n",
" u_exp_last = u_exp_new\n",
" u_exp.append(u_exp_new)\n",
"\n",
"fig, axis = plt.subplots()\n",
"axis.plot(u_exp, label=\"Forward Euler\")\n",
"axis.plot(u_euler, linestyle=\"--\", label=\"Exponential Euler\")\n",
"axis.legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "47696433",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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