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@smutch
Created August 2, 2013 05:37
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SAM virial property effects
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{
"metadata": {
"name": "virial_property_effects"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": "# Effects of used virial properties\n\nHere we compare the effects of using the \"real\" values of $M_{\\rm vir}$ and $R_{\\rm vir}$ compared to using the values as calculated by the FHmodel itself. All models below are run on GiggleZ_MR (step 8, scan 32). "
},
{
"cell_type": "code",
"collapsed": false,
"input": "%pylab inline\nsys.path.append(\"/home/smutch/models/fhmodel/code/pytools\")\nfrom samio import read_gals\nfrom matplotlib import gridspec",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Populating the interactive namespace from numpy and matplotlib\n"
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "# constants\nORIG_FNAME = \"/home/smutch/data/gigglez/vertical/test-20130726/output/GiggleZ.hdf5\"\nREAL_FNAME = \"/home/smutch/data/gigglez/vertical/test-20130726/output/temp/GiggleZ.hdf5\"\nLEN_FNAME = \"/home/smutch/data/gigglez/vertical/test-20130726/output/temp2/GiggleZ.hdf5\"",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Stellar mass function\n\nNote that the model **has not been calibrated** to reproduce any observations, however, identical parameter values are used in each run."
},
{
"cell_type": "code",
"collapsed": false,
"input": "def gen_smf(gals, volume, bins=20, **kwargs):\n sm = log10(gals[gals[\"StellarMass\"]>0][\"StellarMass\"]*1.e10)\n smf = histogram(sm, bins=bins, range=(8,12), **kwargs)\n smf = list(smf)\n bin_width = smf[1][1]-smf[1][0]\n smf[1] = smf[1][:-1]+0.5*bin_width\n smf[0] = smf[0]/volume/bin_width\n return smf\n\norig_gals, simprops = read_gals(ORIG_FNAME, snapshot=-1, output_sim_props=True)\norig_smf = gen_smf(orig_gals, simprops[\"Volume\"])\nreal_gals, simprops = read_gals(REAL_FNAME, snapshot=-1, output_sim_props=True)\nreal_smf = gen_smf(real_gals, simprops[\"Volume\"])\n\nfig, ax = subplots(1,1)\nax.set_yscale('log')\nax.plot(orig_smf[1], orig_smf[0], label=\"calculated virial props\")\nax.plot(real_smf[1], real_smf[0], label=\"trees virial props\", alpha=0.5)\nax.set_xlabel(r\"$\\log_{10}(M_*/M_{\\odot})$\")\nax.set_ylabel(r\"$\\phi\\ {\\rm dex^{-1}\\,Mpc^{-3}}$\")\nax.legend(loc=\"lower left\")\ntight_layout()\ndraw()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Allocated 45.7 MB\nRead in 239476 galaxies."
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\nAllocated 51.0 MB"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\nRead in 267150 galaxies."
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\n"
},
{
"metadata": {},
"output_type": "display_data",
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0LlkpWLSE2+OlqKqG/DIbx8ptHCuz1nYn2iiosFHj9DT5WZ1aSecYPV1iDSTHGuhS+5Uc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\nrVqF8PDwro703i5fvtzVEdqNsupOd8pLWXWjO2X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2bBjKy8s17pOdnc0/Bn7EiBF48OAB\nysvL+UuNycnJ8Pf3b7U/TY4ePdrq48Xfp78zZ87A1dUVAQEBCAgIgKOjIy5duqTWTiaT6e3eLtLz\nUbEivdKlS5dw8OBBJCcnIyEhAQkJCdiyZQuio6MRHh6OX3/9lT97AoA3b96gb9++sLKywqBBgxAc\nHIyqqiqNxzYxMeE/D1Mqlfz2iRMnIicnR6VtXl4eVqxYgejoaGzevBlKpRLDhw/HhAkTEBgYiNzc\nXERERODkyZMoLi7G6dOn+X1LSkrw9OlTxMTE4NGjR6ioqODfk8vlkEqlsLGx0Vp/AJCfnw8PDw/0\n69cPDQ0NUCgUcHR0hJ2dHaqrq/l2lZWVrd6/RUhn0JOCCfkPR44cQW1tLT+J4uXLl0hMTERGRgZi\nYmIAAL6+vkhLSwMAbNu2DZ9++in8/f1x6tQp3Lt3D5GRkWCMwc/PT2vrAtbV1eHo0aNIS0uDn58f\nQkJCYGFhAQA4efIk+vXrh2nTpmmlr2YSiQSfffYZAMDPzw8eHh6IioqCXC7HrVu34OXlBaDprE4u\nlyMsLEyr/ZPei86sCPkPeXl5cHd351/b2Nhg6tSprX7+5OXlhfz8fH7fKVOmAGj67GvmzJlaW9nh\n4cOHeP78OTw8PPD48WM8efKEf08ikWi9UAHAgAED8PjxYwDA4cOHsWHDBgBN0/LfnR157tw5BAUF\nab1/0nvRfVaE/Ifmy4O3b9+GlZUVGhoa8OrVKxw8eBAAcODAARQVFWHnzp0IDQ2FWCxGUlISTp06\nBalUqjKjbuXKlVizZo1WVnbw8PCAh4cHduzYge3bt/Pba2pqVJZW0qbRo0cjISEBHMfxl/kqKipQ\nVVXFT+ZITU1FQEAAf5ZHiDbQZUBC9Ky4uBjXr1/HokWLujpKp129ehVSqRRGRkaws7ODp6cngKZH\nhMTFxWHt2rVdnJD0NFSsCCGEGDz6zIoQQojBo2JFCCHE4FGxIoQQYvCoWBFCCDF4VKwIIYQYPCpW\nhBBCDB4VK0IIIQaPihUhhBCDR8WKEEKIwfs/c070zjx/MqYAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x28b7d10>"
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## History of most massive galaxy\n\nHere is the growth history of two halos selected to hold the most massive galaxy at z=0 in the standard FHmodel (calculated virial properties). "
},
{
"cell_type": "code",
"collapsed": false,
"input": "snaps = arange(59)\n\ndef gen_history(fname, snaps, target_ID, target_tree):\n galhist = []\n present_snaps = []\n for snap in snaps:\n gals = read_gals(fname, snapshot=snap, verbose=False)\n sel = (gals[\"ID\"]==target_ID) & (gals[\"TreeIndex\"]==target_tree)\n if sel.any():\n galhist.append(gals[sel])\n present_snaps.append(snap)\n galhist = np.array(galhist, dtype=gals.dtype)\n present_snaps = np.array(present_snaps, int)\n \n return galhist, present_snaps\n\n# original\nmax_type1_sm = orig_gals[\"StellarMass\"].max()\norig_sel = orig_gals[\"StellarMass\"]==max_type1_sm\ntarget_ID = orig_gals[\"ID\"][orig_sel]\ntarget_tree = orig_gals[\"TreeIndex\"][orig_sel]\norig_galhist, orig_snaps = gen_history(ORIG_FNAME, snaps, target_ID, target_tree)\n\n# real\nreal_sel = real_gals[\"MostBoundID\"]==orig_gals[\"MostBoundID\"][orig_sel]\ntarget_ID = real_gals[\"ID\"][real_sel]\ntarget_tree = real_gals[\"TreeIndex\"][real_sel]\nreal_galhist, real_snaps = gen_history(REAL_FNAME, snaps, target_ID, target_tree)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Now lets plot them!\nfig, axes = subplots(4,1, figsize=(8*2, 16))\ni_ax = 0\n\nax = axes[i_ax]\ni_ax+=1\nax.plot(orig_snaps, log10(orig_galhist[\"Mvir\"]*1.e10), label=\"calculated virial props\")\nax.plot(real_snaps, log10(real_galhist[\"Mvir\"]*1.e10), label=\"trees virial props\", alpha=0.5)\nax.set_ylabel(r\"$\\log_{10}(M_{\\rm vir}/\\rm{M_{\\odot}})$\")\nax.set_xlabel(\"snapshot\")\nax.legend(loc=\"upper left\")\n\nax = axes[i_ax]\ni_ax+=1\nax.plot(orig_snaps, log10(orig_galhist[\"dMdt\"]*1.e10), label=\"calculated virial props\")\nax.plot(real_snaps, log10(real_galhist[\"dMdt\"]*1.e10), label=\"trees virial props\", alpha=0.5)\nax.set_ylabel(r\"$\\log_{10}(\\frac{dM_{\\rm vir}}{dt}/[\\rm{M_{\\odot}/yr}])$\")\nax.set_xlabel(\"snapshot\")\nax.legend(loc=\"upper left\")\n\nax = axes[i_ax]\ni_ax+=1\nax.plot(orig_snaps, log10(orig_galhist[\"StellarMass\"]*1.e10), label=\"calculated virial props\")\nax.plot(real_snaps, log10(real_galhist[\"StellarMass\"]*1.e10), label=\"trees virial props\", alpha=0.5)\nax.set_ylabel(r\"$\\log_{10}(M_{*}/\\rm{M_{\\odot}})$\")\nax.set_xlabel(\"snapshot\")\nax.legend(loc=\"upper left\")\n\nax = axes[i_ax]\ni_ax+=1\nax.plot(orig_snaps, orig_galhist[\"Type\"], label=\"calculated virial props\")\nax.plot(real_snaps, real_galhist[\"Type\"], label=\"trees virial props\", alpha=0.5)\nax.set_ylabel(\"Type\")\nax.set_xlabel(\"snapshot\")\nax.set_ylim(-0.2,2.2)\nax.legend(loc=\"upper left\")\n\ntight_layout()\ndraw()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": "-c:15: RuntimeWarning: divide by zero encountered in log10\n-c:16: RuntimeWarning: divide by zero encountered in log10\n-c:23: RuntimeWarning: divide by zero encountered in log10\n-c:24: RuntimeWarning: divide by zero encountered in log10\n"
},
{
"metadata": {},
"output_type": "display_data",
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ERESkZWrSyZ6pU6cyderUo7bbvn17recHkzwHZWVl8fHHHzdkaE2KwWA4bM0i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\ngLXDAgAAAABYSZneoBnAzRlNJn05e821Qo/BoIdH9lTooIe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zAAAg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J0C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\nOM2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"text": "<matplotlib.figure.Figure at 0x35bf290>"
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": "# Effect of using `Len=(Mvir/PartMass)`\n\nHere I have used the standard FHmodel (i.e. calculated virial properties) and compared this to an identical run, but with `Len=(Mvir/PartMass)`. Again - the GiggleZ_MR (skip 8, scan 32) trees have been used."
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Stellar mass function"
},
{
"cell_type": "code",
"collapsed": false,
"input": "len_gals, simprops = read_gals(LEN_FNAME, snapshot=-1, output_sim_props=True)\nlen_smf = gen_smf(len_gals, simprops[\"Volume\"])\n\ngs = gridspec.GridSpec(2, 1, height_ratios=[3, 1])\nfig = figure(figsize=(16,8))\nfig.subplots_adjust(hspace=0)\nax = subplot(gs[0])\nax.set_yscale('log')\nax.plot(orig_smf[1], orig_smf[0], label=\"original props\")\nax.plot(len_smf[1], len_smf[0], label=\"Len=Mvir/PartMass\", alpha=0.5)\nax.set_ylabel(r\"$\\phi\\ {\\rm dex^{-1}\\,Mpc^{-3}}$\")\nax.legend(loc=\"lower left\")\nsetp( ax.get_xticklabels(), visible=False)\nax.get_yticklabels()[1].set_visible(False)\n\nax = subplot(gs[1], sharex=ax)\nax.plot(orig_smf[1], (len_smf[0]-orig_smf[0])/orig_smf[0], label=\"(len_run-orig_run)/orig_run\")\nax.legend(loc=\"lower left\")\nax.set_xlabel(r\"$\\log_{10}(M_*/M_{\\odot})$\")\nax.set_ylabel(\"fractional difference\")\n\n#tight_layout()\ndraw()",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Allocated 45.6 MB\nRead in 239314 galaxies."
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\n"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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cPElzDp60w/lypapixarXX3tbA30xRbZuwZWMJJSJJpSLp1RKZ1WOp5WJpxVZ\n37vT13E47XIGfHKFfPI1+RQIB9TUElBzW1BtbSEFwj6ZLJZ9/XYBwJAongEAAMY4i9mk5rBfTusU\n6dApO70mlSuqry+m/r6YBvtiig3GlYgklIoklYslVUymlM8VlM8NKd43pJ2V11aLWQ6fW+6gT56Q\nT/5wQMFmf230elJIza1B2dxORq8BTEgUzwAAAOOA12mT94AWzTygZafnS5Wq+iMp9fXGNNj/zuh1\nKpJQJppULpZSNZtVKZZSOpbSwFtbdniGSZLTaZcz6JM76JUv7Jc/XJsa3twaVNukoLxNfkavAYxL\nFM8AAAATgNVsUkezTx3NPkk7NjSrVqtKZIvq3Tp6HRmIKzpQG71OR5PKxpIqJdOq5grK9g4p2ju0\n09exW81y+jxyBr3yhQMKtYUUbguprb1J7R1NcgW8MpnN+/jdAkD9TfitqtjnGQAAYPfkS2VtGUho\n8+YhDWwZ0kBfTNGBqBKDcaUjceViCVlyOZne59dLt9O2dTuukIJtTWrpaNakyWFNmdqq5vYmWR2O\n/fiOAIxX7PNcZ+zzbFzst2ds5M/YyJ9xkTtjM0L+KtWqoumC+vri6uuLarCv1jU83h9TeiiuQiwh\nWyG/y/ttZpOcPrfcTX75moMKtgbV3BbSpI4mTeoIyxnwGnK9tRFyh10jf8bGPs8AAAAYc8wmk8Je\nh8LeVh06s3WH86VKVX2RtDZviah/c0RD/VHFtm7JlYkkVEmnVYynlYyn1bdu+zXXtfXWNrmCfnma\nAwo0BxRuC6llUkgdk5sVbAnI4rDvp3cKYCKieAYAAMB+YTWbNLnZq8nNXunwadudq1arSuRK2tIb\n05YtEQ1uiSjSH1NiMKb0YFzFeGJ4vXWkd0gb3vNsm9kkp98jd5Nf/uagQltHrVvbm9Q+JSyHz2PI\nUWsAYwfFMwAAABrOZDIp4LIpMKNFs2fs2DG8WK6oN5JR7+Yh9fVGNdQbUWwgptRQvDZqnUqrGEsp\nGUup783N2z9bkstpkzPklzccUKA1pHBrUC2Tak3MQm0hmW38Wgzg/Y34r0QymdRjjz2mo48+WlOm\nTNFTTz2lX/7yl5o1a5YWL14sm822P+IEAADABGazmDW1xaupLV6p84DtzlWrVcWzRW3eElPflogG\neiOK9G9tZDYUVyGWVDVXUGbLkCJbduwSbreYh0etA20hhSeFNWlyszqmhNXUFpLFzu+7AHajeF6y\nZInK5bIWWZpJAAAgAElEQVS+973v6ZxzztHTTz+t2bNna/Xq1briiit066237o84AQAAgJ0ymUwK\nuu0Kztz5WutCuaK+SEqbN0bU1xtRpC+m+EBUyaG4spGEKumMCtGkEtGket/YtN29dotZrqBX3pZa\nd/DmSU1qmxzWlKnN8jcH2NMamEBGLJ5POeUUnXvuuZKkb3/723rggQeGz9111137LjIAAACgDuwW\ns6a2+DW1xS9p+nbnqtWqYpmCtvTGtXnjoPq3DGloS0TJgagygzHl02kVhhKKDyW06ZW3t7vXabPI\n1RSQtyWoUGtILR1hTZoS1pQpLXKFfKyxBsaZEYvnTCajs846S7fddpsuvvji4eNf+9rXdPDBB+/T\n4AAAAIB9yWQyKeRxKLSTUetqtapoOq8NmyLasnFI/ZsHFe2NKDEQU24opmw2p1xfRNG+yA4NzNxO\nm1zhoPwtQU06oF3+sFcdU5rVMaVZNo+LwhowoBGL5/POO08zZ85UKBTa7rjD4dD8+fP3WWAAAABA\nI5lMJjV5nWo6pEOdh3Rsd65Srao/mtXGTYPavHFQg5sjivVHlByIKR+JK5PLK7NpQEObBrTuhdeH\n7zObTHJ5HPKEg/K3hNTU3qTWjrA6pjartb1JNpdzf79NALtpxOLZZrPpmGOO2e7Y3XffrWuuuWaf\nBQUAAACMZWaTSZOa3JrUNG2HbbdKlao2Dya1ccOgejcNKTGY1MDGXqUG4ypE46qkckqnetX/du92\n91nMJrl9bnmag8ONy9omhzV5SjONy4AxYK968heLxXrH0TDLli1TV1eXurq6Gh0K9tB7Z0PAWMif\nsZE/4yJ3xkb+jKMl3KTOQw7Y4Xi2UNLbm6Pa8HavNq/vU/+mQUV7h5Tsj6gYTygZTysZT+/YuMxq\nkSfkl68tpHB7s1ont6pjaotmHXaAPAHf/npbExY/e8bT09Ojnp6eus6WnvAb2l155ZWSpGg02uBI\nsCdCoRA5MzDyZ2zkz7jInbGRP+N6b+7aAla1HTFFOmLKdtclc0Vt3BzVpg2DGtgypKHeiBL9MWUG\no7XGZQNRRQeiWr/mzeF7LCaTAu1hdRwyTYd0HqjZc6fL7mbqdz3xs2dMnZ2d6uzs1MqVK+v2zAlf\nPAMAAABjgc9p05wDWzXnwF00LtsY0ZaNg+rfElG0d0iJvqjyvQOKbB5UZPOg1jy1UlaLWaEprZo8\n+wDNPmKGDj7sAFmZ7g3UBcUzAAAAMIYNNy6b3aHO2ds3Losms3px9XqtXb1OW15dr2LfgAbe7tXA\n27164fFnZLNZ1HRAh6bOmaZDOw/UjFmTZbZSAgB7Y69+cmitDwAAADReyOdS19GHqOvoQyRJ/dG0\nVr24TmvXrFPvaxtUGIyqb+0G9a3doOce+ZPsTruap3fogEMP0GFHztSUGZNkMpsb/C4AY9ir4vnc\nc8+tdxwAAAAARqk15NHxXXN1fNdcVatVbR5IatXzb+jNv72t/rUbVIjFtfmVt7T5lbf054f+KKfH\nqZaZUzT90Omae+RMtU1pZqAM2IW9Kp7dbne94wAAAABQRyaTSZNb/Zp80pHSSUeqWq1q3aaI1jz/\npta9/LYiazcol0prw6q12rBqrZb/4km5A161HjxFBx46Q4fPO1BNrXSZBrYZ1YKH++67T9/61rf0\nyCOPaNq0aUqn07rtttt04okn6rDDDqtXjAAAAABGyWQy6cApYR04JSyd+mGVK1W9vq5ff3vhDb39\n8nrF3tyoTDylt557RW8994r+cLfkDQc0adZUzZw7XYd/YKZ8IbbFwsQ1quJ53bp1+sxnPqOWlhZJ\nksfj0VVXXaXvfOc7FM8AAADAGGYxmzR7Zptmz2yTdLSK5Ypefm2zXn5xnTa8/JYSb21WaiiutX+O\na+2f1+j3knyTwmqfNVUHzz1Qh31ghtxeV6PfBrDfjKp4NpvNuuKKK3Y4XigURvNYAAAAAPuZzWLW\nEXOm6Ig5UyTNV65Q0t9e3qhXXnxTG19Zr9SGLUr0DinRO6RXn35BvzWZ5J/cosmzD9Ahh8/QnMOn\ny+60N/ptAPvMqIrn1157TatXr9bhhx8+fOwvf/mL1qxZM+rAAAAAADSO027VBzun64Od0yVJ6WxB\nq1a/rddXrdPmV9crs7lfsY21j789+azMFotC09pqe0x3HqhD5kyV1ca2WBg/RvVf87XXXqsTTzxR\n5XJZra2t6u3tlSQ98cQTdQkOAAAAwNjgcdn10aMO1kePOliSFEtktXrVW3p99Tr1vrZeub4hDa3b\nrKF1m7XqsT/LarMqNGOyps45QId+YIZmHtQhs8XS4HcB7L1RFc8HHHCAVq1apUceeURvvPGGpk+f\nrlNPPZVu3AAAAMA4F/S7NP9jczT/Y3MkSQORlFa98IbeWPO2+l5br1IkpoHX3tbAa29r5a+els3p\nUPNBU/XJTx+nKdNaGxw9sOdGPY+iXC6rUCioVCrJbDbLamVqBgAAADDRtDR5teC4Ti04rlOStKk3\nptXPv6F1f3tL/Ws3qJhIacuatfrptet1yuf/SR/6yCENjhjYM6ZqtVrd25tffvllnXTSSZJqo9Dr\n16+Xy+XSk08+qSlTptQtyH2lu7tby5cvV1dXl7q6uhodDgAAADAuVatVvbGuT/f+4GENvrRWJpNJ\nf7/oJJ35zwtkNpsbHR7GoZ6eHvX09Gj+/PlasGBBXZ45quL5rLPO0uLFi3XssccOH3viiSf085//\nXHfeeWc94tunuru7NW/evEaHgb0QCoUUjUYbHQb2EvkzNvJnXOTO2MifcZG7d5TKFd13xxNa+4dn\nJUlTP3SozlvySTkcY7dLN/kztpUrV9ateB7Vn3k++tGPblc4S9IJJ5xAQQoAAABgB1aLWed95iTN\nv+gTktWiDc+9pJuvuVtDg/FGhwaMaFTFc6VS2enxdw9m33vvvaN5CQAAAADjzPEnHKlzvvJpWX1e\nJTb06pav/VSvvLyh0WEB72tU3b1effVVnX/++Zo5c+bwsTfeeEPZbFbxeFzValX33nuvPvWpT406\nUAAAAADjx6GHTlXzNy7SXd+5X6mNffrFjT/TMed9XMeecGSjQwN2alQjzz09PZo+ffp2xw488EAd\ndthhqlarwx8AAAAA8F6tLQFdcf0FmvzBOaqWyuq541Hde/vjKu9ihivQSKMaeb766qt1/vnnv+81\ns2bNGs1LAAAAABjHnA67PnPV6fr1L1v1/K+e1qvdz+oHmwZ10VUL5fO5Gh0eMGyPRp5vueWW7b7f\nVeF86623Dn/NlG0AAAAA78dsNuu0s+frE1ecIYvDrqFX1unmr/1U6zcMNjo0YNgejTzffffdOuyw\nw973mmq1qjvvvFOf//znRxUYAAAAgInlqL+brbZJTbr3P+5XbjCqO669Q6d8/p/04aOYzYrG26Pi\n+ZlnnlFXV9eI15lMpr2NBwAAAMAEdsD0Vl3+zYt1x//3oIZee1u/WfaANi/s0j8uPJo6Aw21R9O2\nf/WrX+mee+7RI488omw2q0qlstOP0047bV/FCwAAAGCc8/ndWnL1pzTr2A9K1apWPviUbvvP/1a+\nUGx0aJjA9mjk+dRTT5UkJRI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hhRdGHdj+wj7PxsV+icZG/oyN/BkXuTM28mdc5M7Y9nf+\nLl18mlYefbju/c69SvdHdNfSu3Tcp0/SJ8/qkplmYrtlzO3z/NZbb+mEE06Q2WxWc3Oz0um00um0\nfvvb3+rggw+uW5D7Cvs8Gxf7JRob+TM28mdc5M7YyJ9xkTtja2T+kqmc7rrlNxp4/hVJUvuhB+pT\nV/yT/AFPQ+Ixonru8zyqkefp06dr1apV+vWvf60333xTM2fO1KmnniqXiw2+AQAAAGA0fF6nlvzf\nM/T475/Xn+97UlteelM3f+k2nfq5U3X4vIMaHd6EM+p9nl0ul84555x6xAIAAAAAeBeTyaSPnzRP\ns+dM033ff1i5TX168D/+S68d/2Gddt5xslhHXdJhNzFhHgAAAADGuOnTmvWFGy7S9GM/rEpVWvXE\nX3Xz1+9U/+ahRoc2YVA8AwAAAIABOGxWXfTZk/TxfzlbJq9HkfW9uu1rt2tF9wsaRSsr7Ka6FM/R\naFTPPfec8vl8PR4HAAAAANiFo486WEu+9Vl5D5mhYr6gx2//jX5200PKprONDm1cG3Xx/D//8z+a\nP3++LrvsMh100EHq6empQ1gAAAAAgF1pafLqqq8v0twzFqhisWjtcy/rB1/5ida9uqHRoY1be1U8\nP/PMM8Nf/+53v9OLL76oZ599Vn/96191yy236M0336xbgAAAAACAHVktZp11xkd1ztcvkKW5Scmh\nuO75xj16+rFnGx3auLRXxbPVatUtt9yiW2+9VZlMRvF4XJLU3t6uu+++Ww888EBdgwQAAAAA7Nzc\nQzr0hW9douajjlC5XNFTP/u9nn/m1UaHNe6YqqNcWf7d735XHR0dGhgYkNls1rx58/Tqq6/q4osv\nrleM+0x3d7eWL1+urq4udXV1NTocAAAAANhr1WpV37/pIa19YoWsDrsWf+dyHXTw5EaH1RA9PT3q\n6enR/PnztWDBgro8c9SbghWLRS1atEgmk0mS9L//+79avny5stmsLBaLDjvsMM2fP3/Uge4rV155\npaRa0zMYRygUImcGRv6MjfwZF7kzNvJnXOTO2IyWv0Xnd+nmTb2KvvSmfnTNT/T5b16sppC30WHt\nd52dners7NTKlSvr9sxRNww7+eSTdfnllw932v7gBz+o6dOna8mSJbr00kvV3Nw86iABAAAAACOz\nWsz67BfOkHtSi/KxhG7/9/uVzxcbHda4MOri+QMf+IDmz5+vQw45RGeffba6uro0d+7c2sPNZs2Z\nM2fUQQIAAAAAdo/H7dBFXzpHNq9bqfWb9ePv/1rlSqXRYRleXfZ5Pvfcc7VixQqdeeaZuu2223TG\nGWfU47EAAAAAgL3QOimos686SxarRQMrX9a9P3+60SEZXl2KZ0nq6OjQ2WefrVmzZtXrkQAAAACA\nvTRrzlSddPEnZJL0+mN/0mPdqxodkqHVrXgGAAAAAIwtH+k6QkederRMqupPd/1Wz/7/7N17XFR1\n/j/w15kZrjMDwnBRUfCKKMIo2l0KNbQl84KmmeW6llr6/a5b6la7W5pppZuWbl+LasuysougtbXa\nBUPpp5mFioqI5QXvXFWGywxz+f0xM4cZQBxlYDjwej4ePObMOZ9zznt4427v+VzOwUJPhyRZLJ6J\niIiIiIjasT88MBz9hvaD3GjEF//KwO9npbN6eFvC4pmIiIiIiKgdEwQBk/9nPLr26Ay5Tof1r3yO\nkis1ng5Lclg8ExERERERtXMKby88vGgKgjQBkF0swrpXt6DKYPR0WJLC4pmIiIiIiKgD8A9S48EF\n90Pp5wXT0d/w+juZMJktng5LMlg8ExERERERdRBhPbog9bGx8JbLoPvxF7yz+VdPhyQZLJ6JiIiI\niIg6kD439cfoyXdCLgCFW77H5h+PeTokSWDxTERERERE1MEMGXMHbr9rIBQmI3567z/4f0cveDqk\nNo/FMxERERERUQcjCAJG/ulexMV2h291Fbb8azPyL1zxdFhtmmCxWDrsDPHMzExkZ2cjKSkJSUlJ\nng6HiIiIiIioVRkuV+DNv/4ffissRlXPXnj+xT8hopO/p8NqtqysLGRlZSExMREjR450yzU7fPGc\nkJDg6TDoBgQFBaG8nA93lyrmT9qYP+li7qSN+ZMu5k7aOkL+Ks5cxIblH+Li5WrUDB6EZ/98D1Q+\nCk+H5RY5OTluK545bJuIiIiIiKgDU3cLx8TH70OgrwI++w7glY/3oNZk9nRYbQ6LZyIiIiIiog4u\nPD4aY6cOh59CQO32bPzf1sPowIOUG8XimYiIiIiIiND77psxatQg+JhNOLf5O2z8qdDTIbUpLJ6J\niIiIiIgIgiBg8ORk3HlTT/hVV+HnDf/F9oJiT4fVZrB4JiIiIiIiIgCAzNsLwx4ZhyF9wxB4qRTp\nb29F7vkKT4fVJrB4JiIiIiIiIpFCrUTynPGIDlcj5Gwh1r27HWcu13g6LI9j8UxERERERERO/LqG\nYYwc7mkAACAASURBVMysMYgI9EHY4UN4+cPduFRd6+mwPIrFMxERERERETUQOKA37nsgCRo/BQJ/\n2oPlmw/AYOy4j7Bi8UxERERERESN6nznUKSMHowAmQVC5k688m0BzB30EVYsnomIiIiIiKhRgiCg\n9/jhGHVrbwToq1H01Q94b88ZT4flESyeiYiIiIiI6Kpk3l6Ie+he3BXbBZ0ulWLvph/w3yMd7xFW\nLJ6JiIiIiIioSQq1EjfNuA+39AxC+LlCfPZpNn49c8XTYbUqFs9ERERERER0Tb5dQjHsoXsQG65C\nZMERrPl0D06UVXs6rFbD4pmIiIiIiIhcou7fGyMmDkOPIB90P5CDF9L3o7SyYzzCisUzERERERER\nuUxzxxAk3z0IXXwEhPy0G0u+ykN1rcnTYbU4Fs9ERERERETkMkEQEHHvXRh1a2+EmfWQ79iFFzOP\nw2Ru34+watfF88aNGxEWFubpMIiIiIiIiNoVmbcXek2+B3fHdUVoRTmKv9+NN3efhqUdPwO63RbP\nJpMJn3/+OSIjIz0dChERERERUbujUCsRMzUFw6M16HL+NPZ8+ws2H26/j7Bqt8Xzxo0bMXnyZAiC\n4OlQiIiIiIiI2iXfLqGIm3Q3bo8KRI9jR/DJ1/vx/05e8nRYLaJdFs/2XucpU6Z4OhQiIiIiIqJ2\nTd2/NxJSbsXgLir0PbwPr311CEeLKz0dltu1ueL59ddfx9ChQ+Hr64s//elPTsfKysowYcIEBAQE\noGfPnti4caN47NVXX8Xw4cOxYsUKfPTRR+x1JiIiIiIiaiXBdwzBrXfGol+gAj33/Yznv8rHhQq9\np8NyqzZXPEdERODZZ5/FzJkzGxybN28eAgMDUVZWhoyMDMydOxd5eXkAgCeeeAI//PADnnrqKeTl\n5eGDDz7AH/7wBxw7dgx/+ctfWvtjEBERERERdRiCICD8D3fhzqG90FNhQtjen/Hs1t+g0xs9HZrb\nKDwdQH0TJkwAAPzyyy84c+aMuL+yshIZGRk4duwYFAoFBg8ejEmTJmHDhg146aWXnK7x8ssvi9s3\n33wzXnvttdYJnoiIiIiIqIOSeXuhW+ooDL9Siep9Z3D051+xVOmF5ff0gZe8zfXbXrc2Vzzb1V/i\nvKCgAH5+fk6rZ8fHx+O7775r8jo///xzk8fXrFkjbiclJSEpKen6gyWPCAoK8nQI1AzMn7Qxf9LF\n3Ekb8yddzJ20MX/XISgIypn3Q3j7cxj2nUbez4fwhiYAz90T0yrTarOyspCVlSW+T0xMdNu122zx\nXP8Xq9PpoFQqnfYplUpUVFQ06z7z5893el9eXt6s61HrCAoKYq4kjPmTNuZPupg7aWP+pIu5kzbm\n7wYofdB19G0YflkHw7F8ZO9Q4f98gGmDO7f4rbVaLbRarfg+JyfHbddus8Vz/Z5nlUqFykrnFdt0\nOh3UanVrhkVERERERETXoO7fG31GlqOqdg/0h/fhU18/dFF7Y0SfYE+HdsPabPFcv+c5Ojoa1dXV\nKCwsFIdu5+bmYuDAgZ4Ij4iIiIiIiJoQfMcQxJRdhs5wGLW5e/Garw9CVQMQ11nl6dBuSJsrnk0m\nE2pra2E0GmEymaDX66FQKKBUKpGamorFixfjrbfewqFDh5Ceno5du3Y1635r1qzhXGeJ4twTaWP+\npI35ky7mTtqYP+li7qSN+btxgVPHwttgQvXufBhyf8ULfj545+GbERXs36L3tc99duecZ8FSf3y0\nhy1ZsgRLly5tsO+5555DeXk5Zs6ciczMTGg0Grz00kt44IEHbvhemZmZSEhIaG7I5AGceyJtzJ+0\nMX/SxdxJG/MnXcydtDF/zVd7RYfCDV9g+6Fz+EUZDv1NCXhtbD908vNq8Xvn5ORg5MiRbrlWm+t5\nXrJkCZYsWdLosaCgIGzevLl1AyIiIiIiIqIb5hWgQsSEZCTWfIWqvPP4Na8AS/y9sfIPfeCtkM4j\nrKQTKREREREREUmSb9cwRKTcheF9ghB76ijO5p3EP3ecgrltDYRuUpvreW5tnPMsXZx7Im3Mn7Qx\nf9LF3Ekb8yddzJ20MX/uEXT7UPjojYB8F2qO7MceXz9sDA3A/9zVx+33aok5zx2+eLY/55nzGKSF\nc0+kjfmTNuZPupg7aWP+pIu5kzbmz728tNEIPXUaw3XVqM7di4+8vRHkbUFKTIhb72N/3nOHeM4z\nERERERERtS+CICD8D3fBeFmHuwynUXMoB/9SKBCm8sbQbgGeDq9JnPNMRERERERErUbm7YXO4+9G\nTKQGd3jr0fu3I6g1mT0d1jWxeCYiIiIiIqJW5RWgQpfxd2NwZCBmqisxoOy8p0O6pjb3nOfWlJmZ\niezsbC4YRkRERERE5AGXDhXg4o49iJp8L3xDg912XccFw9z1nOcOXzwnJCR4Ogy6AVy4QdqYP2lj\n/qSLuZM25k+6mDtpY/5antlohEzRMstx5eTkuK145rBtIiIiIiIi8piWKpzdjcUzERERERER0TWw\neCYiIiIiIiK6BhbPRERERERERNfQ4RcM42rbRERERERE7QtX23YzrrYtXVz1UNqYP2lj/qSLuZM2\n5k+6mDtpY/6kjattExEREREREbUiFs9ERERERERE18DimYiIiIiIiOgaWDwTERERERERXUOHXzCM\nq20TERERERG1L1xt28242rZ0cdVDaWP+pI35ky7mTtqYP+li7qSN+ZM2rrZNRERERERE1IpYPBMR\nERERERFdA4tnIiIiIiIiomtg8UxERERERER0DSyeiYiIiIiIiK6BxTMRERERERHRNbB4JiIiIiIi\nIrqGDv+c5+zsbCQlJSEpKcnT4RAREREREZEbZGVlISsrC4mJiW57znOHL54TEhI8HQbdAD6sXtqY\nP2lj/qSLuZM25k+6mDtpY/6kLScnx23FM4dtExEREREREV0Di2ciIiIiIiKia1B4OoC2yGKxoKio\nCCaTCYIgeDocakRxcTGMRqOnw2gW+4yJgIAAqFQqD0dDRERERERNYfHciKKiIqjVavj7+3s6FGrn\nLBYLysrKoNfrodFoPB0OERERERFdBYdtN8JkMrFwplYhCAI0Gg30er2nQyEiIiIioiaweG4Eh2pT\na+PfHBERERFR28bimYiIiIiIiOgaWDy3cwsWLMArr7zi9rZNKSwshEajgdlsbva1iIiIiIiI2gLB\nYl/ytwPKzMxEdnY2kpKSkJSUJO4vKChAaGio5wKTuMLCQgwePBjFxcWQyfj9jCuKi4sRHR3t6TCI\niIiIiNqFrKwsZGVlITExESNHjnTLNTv8atvz588HAJSXl4v7pP4IJDuz2Sz54tVoNEKhaP9/pkaj\n0elvsL0LCgrqUJ+3vWH+pIu5kzbmT7qYO2lj/qRJq9VCq9UiJyfHbdeUdmXVAeXm5iI5ORmRkZEY\nMmQINm/eLB6bN28eFixYgMmTJyMqKgrZ2dmYN28eXnzxRbHNihUr0KtXL8TFxWHDhg3QaDQ4efKk\neL697Y8//oiBAwdi3bp16N+/P/r06YP33ntPvM62bdswbNgwREVFoV+/fnj++edd/gxarRavvfYa\n7rjjDkRGRuKRRx5BdXW1033Xrl2L2NhY/PnPf4Zer8f8+fPRq1cv9O7dG0888YS4OrW9/auvvop+\n/fohJiYGGzZsEO/19ddfY+jQoejevTsGDBiAtWvXXv8vnYiIiIiIOrz236XnZqPe2ee2a3376ODr\naq/X6zF16lTMmzcPc+fOxd69ezFp0iT07dsXAwcOBABs2bIFGRkZ0Gq1MBgM+Pzzz8WVnL/66its\n2LABP/zwA7p06YKFCxc6XV8QBKdVn4uKilBVVYW8vDxkZmbioYcewoQJE9CpUycEBgZi/fr16NOn\nDwoKCjBhwgTExcUhNTXVpc+yZcsWfPHFF/Dx8cFDDz2E5cuXY9myZeJ9q6urcfDgQdTW1mLZsmX4\n/fffsX//fgDAQw89hGXLluGFF14Q21dWViI/Px85OTmYMGECEhISxOL7448/xi233AKdTodTp05d\n1++ciIiIiIgIYM+zpOzatQuCIGDu3LkAgJtuugn33nsvMjIyxDZjxoyBVqsFAHh7ezud/8UXX+Dh\nhx9GVFQUvL298de//rXBPRynwHt5eeHJJ5+EIAi4++67ERgYiKNHjwIAbrvtNvTp0wcAEB0djdTU\nVOzatculzyEIAmbNmoWQkBCo1Wo8+eST2LJli9N9FyxYAJlMBh8fH2zevBmLFi1CQEAAAgICsGjR\nImzatElsL5fLsWjRIgiCgCFDhiAlJUW8nlKpxNGjR1FRUQGVSoXY2FiXYiQiIiIiInLEnufrdL29\nxe5UXFyMiIgIp33dunXDhQsXAFiL0vDw8KueX1paisTERPF9ly5dmrxfUFCQ05xpPz8/cbj07t27\n8fzzz6OgoAAWiwV6vR7jx493+bN07drVKY6ioiKn+zrOcy4qKkK3bt3E9xERESguLnZq7+Pj43Rt\n+/XeffddrFq1CkuWLEG/fv3w3HPP4bbbbnM5TiIiIiIiIoA9z5ISGhqKs2fPOu07c+aMyyuDh4SE\n4Pz58+L7c+fONWjjOGy7KbNmzcLkyZNRUFCAEydO4NFHH72uR1M53vvcuXMICwu7atuwsDCcPn1a\nfH/27Fmnz1xeXo6amhqn4/YvEYYOHYqNGzfit99+w7hx4zBz5kyXYyQiIiIiIrJj8Swht99+OywW\nC958801YLBbs3bsXX3/9tdjj29hTxywWi7h/7Nix2LBhA06dOgWDwYBVq1Zdte21VFVVwd/fHwqF\nArm5udi0aZPLhbfFYsG///1vlJSUoKKiAq+99lqTvdbjx4/HqlWrcPnyZVy5cgWvvPIKJk6cKB43\nmUxYtWoVzGYzfvnlF2zbtg1jx45FbW0ttmzZgsrKSshkMiiVSsmvPk5ERERERJ7BSkJCfHx88PHH\nHyM9PR1RUVGYM2cOVq9ejbi4OAANF/yqv2/MmDGYNm0akpKSMGTIECQkJACwzhlu7PymiuGVK1fi\nhRdeQFRUFF566SWMHTu2wX2vRhAEjBs3DuPGjUNsbCyCg4Px97///arn/uMf/0DPnj0xePBgDBo0\nCD169MCzzz4rHg8LC4Ofnx8GDBiAadOmYdmyZeICahs2bMDAgQPRrVs3vPPOO0hLS7tqXERERERE\nRFcjWFztamyHMjMzxQLS0fnz5685H7g9OHHiBG666SacPn0afn5+rXbfQYMGYe3atbjzzjubfa0f\nf/wRjz32GA4dOuSGyDyno/zN2fF5idLG/EkXcydtzJ90MXfSxvxJW05ODkaOHOmWa7HnuYP55ptv\nYDQaUVFRgaVLlyIpKalVC2ciIiIiIiIpYvHcwaSlpaF3796IjY1FZWUl1q5d6+mQms3VudZERERE\nREQ3io+q6mAcnwntKfv373fbtYYNG4aDBw+67XpERERERESNYc8zERERERER0TWweCYiIiIiIiK6\nhg4/bHvNmjVISkpCUlKSuK+4uNhzAVGHpFAoEBQU5OkwWlVH+7ztDfMnXcydtDF/0sXcSRvzJz1Z\nWVnIyspCYmKi267Z4Yvn+fPnA4DT8vNGo9FT4VAHZTQaO9QjEPjIB2lj/qSLuZM25k+6mDtpY/6k\nSavVQqvVIicnx23X5LBtIiIiIiIiomtg8Uyt4syZM4iMjITFYvF0KERERERERNeNxbOEaLVa7Nix\no9Xvu2LFCmg0GqSlpTntf/PNN6HRaLBixYprXqNbt24oLCy85jOZDQYD+vbti8rKStx3333o2rUr\nIiMjERUVhQceeABnz569oc8wb948vPjii077tFotOnfujLKyMqf9d911FzQaDc6cOXND9yIiIiIi\novaHxbOECIJwzeKzpfTp0weffvqp075PPvkEffv2bXZMFotF7JHetWsX4uPjoVQqIQgCVq5cicLC\nQhw4cAA1NTV46qmnrvv6JpOp0f2CIKBHjx5IT08X9+Xl5aGmpsZjv2ciIiIiImqbWDxLnNlsxosv\nvojY2FhERUXhwQcfRGlpKQCgsLAQGo0Gn3zyCbRaLaKiovDSSy/d0H0GDx6M6upq5OfnAwDy8/Oh\n1+sxaNAgsc2tt96Kb7/9VnxvNBrRt29fHDx4UIzFbDYDAO677z4sX74c99xzDyIjI3Hq1CkAwHff\nfYe77767wf07deqEMWPGoKCgAADw8MMPo1+/fujevTtGjRqFgwcPim3nzZuHBQsWYMqUKYiKisJH\nH32ETZs2Ye3atYiMjMS0adPEtvfff7/TlwIbN27ElClTnIaXb9u2DcOGDUNUVBT69euH559/Xjym\n0+kwc+ZMREVFISoqCsOHDxdXa3/vvfcQFxeH7t27Iz4+Hp999tkN/OaJiIiIiKgt6PCrbV+v3175\nt9uu1WfhI82+xmuvvYadO3dix44dCAoKwtNPP4358+fjww8/FNv8+uuv+PXXX3H06FGMHDkS48eP\nR//+/bFp0yYsWrToqtf+8ccfERERIb6fPHkyPv30UyxevFgsMu3FNABMnDgR6enpGDVqFABg+/bt\nCAkJQVxcHAoLCxtcPz09HRkZGYiKihKL6szMTHz00UdiG3sRW1paiv/85z+IjY0FAIwdOxbvvPMO\nFAoFli1bhkcffRR79uwRz9uyZQsyMjKg1WphMBjw888/IyIiAs8884xTDEOHDsVnn32GgoIC9O7d\nG5s3b8a2bduwfPlysU1gYCDWr1+PPn36oKCgABMmTEBcXBxSU1Px8ccfo6amBkePHoWvry+OHDkC\nX19fXL58GUuWLMH27dvRu3dvlJWVoaSkpIlMEhERERFRW8aeZ4nbsGED/va3vyEkJARyuRwLFizA\nN998g5qaGrHNk08+CYVCgdjYWMTFxYm9tJMmTcKJEyeu+uNYOAPW4jk9PR1GoxGbN2/G/fffD6Cu\nwJ04cSK2bdsm3nvTpk2YOHFio3ELgoBp06ahR48eEAQBcrkcJ06cgNFoRO/evcXrPvPMM+jZsydu\nu+02BAcHY+XKlQCsPcY+Pj7iZ/7tt9/E4lQQBIwZMwZarRYA4O3t7RRnffYvBbKyshATE4MuXbo4\nHb/tttvQp08fAEB0dDRSU1Oxa9cuAIBSqURZWRlOnDgBAOjfvz/UajUUCgVkMhny8/NRXV2N4OBg\nREdHN5FJIiIiIiJqy66r5/nMmTP48MMPUVhYiBdeeAEajQY//fQTunTpgqioqJaKsU1xR2+xO509\nexYPP/wwZLK670G8vb2dFsEKDw8Xt/38/GAwGK77PoIgICIiAr169cLSpUvRp0+fBsV1r169EB0d\njW3btmHUqFH45ptv8Le//e2q13SMC7AO2U5OTna658svv4yHHnrIqZ3BYMCSJUvw1Vdf4cqVK+L8\n5MrKSoSEhDR67aY+15QpU5CSkoJTp041GLINALt378bzzz+PgoICWCwW6PV6jB8/HgAwZcoUFBYW\nYubMmbh06RJSU1OxePFiKJVKvP3223j99dfxP//zPxgyZAiWLVuGmJgYl+IiIiIiIqK2xeWe5717\n9yI2Nhbvv/8+3n77bVy+fBmAteB5+umnWyxAalp4eDi2bNni1GN89uxZdO3a9Zrnfv7554iMjGz0\nJyoqymlla3tBOWXKFKxbtw5Tpkxp9JqpqalIT0/H1q1b0a9fP/To0cPlz3K1+c71ffrpp9i5cye2\nbt2KkydP4tChQ04xNqapBcC6deuGHj164Pvvv8eYMWMaHJ81axYmT56MgoICnDhxAo8++qg4zFyh\nUOCZZ57B7t278f3332P79u34+OOPAQB33303tmzZgqNHj2LAgAH485//fM3PRkREREREbZPLxfPC\nhQsxa9YscU6n3T333IOdO3e2SHDUUG1tLWpqasSfP/7xj1i+fDkuXLgAALh06RK+//77Jq9hLzLv\nv/9+FBYWNvpz6tSpBj3LADBhwgRkZGRg3LhxTteyS01Nxfbt2/Hee+9h0qRJLsUBAFVVVdi3bx8S\nExOv2saxrVwuR0BAAGpqaho8gqqxczp16oTTp09fNZa1a9fiiy++gJ+fX6P38/f3h0KhQG5uLjZt\n2iQW47t27cLRo0cBAP7+/vDy8oJMJkNxcTG+//576PV6KBQK+Pv7O40OICIiIiIiabmunud58+Y1\n2N+lSxcUFRW5NSi6usmTJyMiIkL80ev1uOWWW5CcnIyoqCgkJSWJ83GBxntcb+QxTPZzfH19ceed\nd4pfoNR/fFZ4eDhuvvlm7N27FxMmTGjyvo7vs7OzcfPNN4vzk5uKderUqejcuTNiYmJw++23Iz4+\n3qldY4/0euihh7B//35ERUVh+vTpDa7Zo0cPcY50/fuuXLkSL7zwgrha+X333SceO3fuHKZNm4bu\n3btj6NChuOmmmzB16lSYTCasWrUK0dHRiIqKwo4dO7B69eoG9yUiIiIiImkQLE2NdXUQFBSEn376\nCf369YNarcaBAwfQq1cv/PzzzxgzZowkC+jMzEwkJCQ02H/+/PkGi0ZRy1q0aBEGDBiAP/3pT54O\nxSM62t9cUFAQysvLPR0G3SDmT7qYO2lj/qSLuZM25k/acnJyMHLkSLdcy+We5xEjRuCtt95y2mcy\nmbB8+XLx0URENyouLg733nuvp8MgIiIiIiJqlMurba9YsQLDhg3DL7/8Ar1ejwULFiA3Nxc1NTXY\nvXt3S8ZIHUBjQ6mJiIiIiIjaCpd7nvv06YMDBw5g+PDhSE5Ohl6vx7Rp07Bv3z5ERka2ZIxERERE\nREREHnVdz3kODw/HkiVLWiiUtsPFaeBEbsO/OSIiIiKits3lnud33nkH6enpDfanp6fjvffec2tQ\nniaXy1FVVeXpMKgDsFgsKC0thY+Pj6dDISIiIiKiJrjc8/zyyy/j3XffbbA/JCQEzzzzTLtaJTks\nLAxFRUW4dOnSDT3WiVqeQqGA0Wj0dBjNYu9tDggIgEql8nA0RERERETUFJeL58LCQvTp06fB/t69\ne+PkyZNuCaasrAyPPPIIMjMzodFo8OKLL2Lq1KmNtn3qqafEYv6RRx7Byy+/LB6bPXs2du7ciWPH\njuHdd9/FH//4x+uKQxAEhIeH3/gHoRbHRwYQEREREVFrcnnYdnBwME6cONFg/6lTpxAYGOiWYObN\nm4fAwECUlZUhIyMDc+fORV5eXoN2aWlp2Lp1K/Lz83HkyBFs27YNaWlp4vFBgwZh3bp1SEhIYM9x\nO5WVleXpEKgZmD9pY/6ki7mTNuZPupg7aWP+yM7l4vkPf/gDFi1ahNLSUnFfSUkJFi1ahJSUlGYH\nUllZiYyMDCxduhQKhQKDBw/GpEmTsGHDhgZt33//fSxcuBAajQYhISFYtGgR1q9fLx6fO3cuRowY\nAV9f32bHRW0T/0dM2pg/aWP+pIu5kzbmT7qYO2lj/sjO5eJ5xYoVKC8vR2RkJIYNG4Y77rgDUVFR\nKCsrw8qVK5sdSEFBAfz8/JweexUfH4/Dhw83aJuXlwetViu+j4uLa7QdERERERERkTu4POc5LCwM\nOTk5+Pjjj/Hrr78CsM41njp1Kvz8/JodiE6ng1KpdNqnVCpRUVFxzbYqlQo6na7ZMRARERERERE1\nRrC0kQfM7tu3D8OHD8elS5fEfWvXrsX333+PL7/80qltp06dsGPHDrH3OTc3F8OGDcOVK1ec2iUm\nJmLWrFmYPn16o/fMzMx086cgIiIiIiKitmTkyJFuuY7LPc+AdTXsXbt2oby8HPVr7qsVqK6Kjo5G\ndXU1CgsLxaHbubm5GDhwYIO2sbGxOHDggFPx3Fg7VyQkJNx40OQxa9aswfz58z0dBt0g5k/amD/p\nYu6kjfmTLuZO2pg/acvJyXHbtVwunr/88ks8+OCDqKqqglwub3C8ucWzUqlEamoqFi9ejLfeeguH\nDh1Ceno6du3a1ei9Vq9eLS5UtmrVKjz++OPi8draWphMJpjNZhgMBtTU1MDHx4crbxMREREREdEN\ncXnBsCeeeAJTp05FSUkJamtrG/y4w7p163Dp0iVoNBqkpqbijTfeQP/+/ZGdnQ21Wi22mzNnDkaP\nHo2YmBjExMRg9OjRmD17tng8OTkZ/v7++OmnnzB79mz4+/sjOzvbLTESERERERFRx+PynGc/Pz/k\n5+cjKiqqpWNqNZmZmRy2LVGOw/ZJepg/aWP+pIu5kzbmT7qYO2lj/qQtJyfHbXOeXe55vummm3Dy\n5Em33JSouZKSkjwdAjUD8ydtzJ90MXfSxvxJF3Mnbcwf2bk85/m5557DwoULsXTpUsTFxUEmc667\nu3bt6vbgiIiIiIiIiNoCl4vnUaNGAQDuvffeBscEQYDJZHJfVETtiMVigdkCyARw0ToiIiIiIoly\nuXjevn17S8ZBbmQyW2B0/DFZUGs2i9v2/bXiMQvMFgtgAcywwGIBLLZt6z5rAWhrArPF9h6wtbXA\nDFjbOu63XcvssG2/hr2gtG/bzzHbpuA7HRPvW7ft7V2M6poamG3Xsb9axPd17U0Wi7htrnfc+ZyG\nr5ar7LefZ2rkfPt7k0O8gLV4VvsooPaRI8D2qvaRI8BX4bzfVw61jwIBPtZXfy8Zi24iIiIiIg9z\nuXjmWH/XHCmqhE5vshWnZrFYrTVbYDJbUOtYvJrM1n1ORa5z0Ws0m52KXLG9eF2zU0FsNFsLN2pb\nZIK1YL9cY8TlGiMAvcvnym1Ft7XIriu8r/beXnj7KFh0u5vZYv03XGuy/rsUt00WGGz/po3ifud2\nBls767/fuv0yAVB6yxv/8ZJD6S2Dv7ccMuaSiIiIyKNcLp4B60plb731FgoLC/Huu++ic+fO+PLL\nLxEZGYlBgwa1VIySsjq7EKfKazwagwBAIRfgJROgkAm2bRnkMts+uXW/47ZMECAIgAzWV0GwXkcQ\nBOuqcgKsbWA9Zv8PeftQZPt+ARCvZT/f8RyxnW1bZqsHGjun/rUd7+nv7w99TbW1nUyA3B6/LBl7\nqwAAIABJREFUIEAm1J0rs30mmczxmLWt0zm269jPkzdyvgABclnd+U7XAyCXCWI8Mofj9s9kNFug\n0xtxpcaECr0RV/T2VyMq9CZcqbG92t5X2NrWGM24VGPEpRrjdf0deMkFh+JagQBbj7ZTwW3r6XZ8\n761weR3BaxJ7680W2wgA68gIVBlQWlVrPW62t7PAZNs22XryTWbHXv26802WhufYt50KW3NdcVtr\nG4HhWPCKx69S8Nq3DSZrwWvy4BdT/l6yJorsJo7Zfvy8ZCzAiYiIiJrB5eJ527ZtGD9+PO666y78\n8MMPqKqqAgD89ttv+Pe//40vvviixYKUkthwJUKVXrbi1Faw2gpURb1ta2ErcypyxXbie+txx+t4\n1Wtrva5M3JbL2v9/IAcFBaG8vNzTYVwXhUxAJz8vdPLzuq7zDCazUzFdoXcosusV3I4FuMFkQVmV\nEWVV11d0+8gFsRdbJgguFLWwvXcoam0FbnvkZftiysv2b9dLbtt23C+37veWycQvsq7WzmS2oNJg\nsv2Yra+11vdVtv1VtWbxp7iy9obiFgD4e1t7sq092k39yBx6vuVQ+li3/TiFQJKMZgsMRjMMJjNq\nZDUovlQDg8kMg8kCvW2/wWiB3mS2tbNu1zoet287HTdDb6zbdpymAlin4jiy2I429oBM+z5LvbaO\nF7Rcpa3zdSyNHmvsHIVMQJCfAsH+XtD4eyHYT4Egfy8E+3sh2M8Lwf4KBPt5wd9b3sidiIioI3K5\neP7HP/6BZcuWYeHChVCr1eL+ESNGYMWKFS0SnBT9ZVikp0OgdsZbLoPGXwaN//UV3Xqj+eq92jVG\n5x5ucZ8JepMFxZW1N1yk1ScTrL3yMluPvkywfmkkwOLUey+X1R13PEcm2EcX2NoJdSMJHLdlttEE\nYpEqu8q2YzErqyt069pZ93nL676Y8nL48soTxaPJbEFVrXOBXeVQZDv+6MSi21y3v9aE6tq698CN\n5VYmAP5ecvh6yaGQWf827b+rum3nVy+ZDN4K23uZUG9bJn7J4FVvv7fDuV6yuuu1xeLd/oWSyT4y\nwjaFxmTfb7Z+AWV0em89brQdMzm0t0/1EQvV+gWsbdtgK3b1prriWG+0OB3XG82cytOEyzVGnLzG\naDFfhcxWUFsL7frbQX5e0Phbp9Z0tNEdFov1b1Jn+98end76WmkwoUJv/d8i+5+f/Tdj/xWJvynb\nDgH199e91J3j/Putfy2h3skN99dv79wO9tFijscaGUlnP0dmO2g/x7otiKPqBNt7AYC6zITKSp34\nKZxG+dlG/TmdU++69lFujbXx87KuoaL0lneIDhRqXKXBhAPnK5BztgL5RVUYOyAEo6I1ng6r3XG5\neD506BAmT57cYH9ISAjKysrcGhQRNZ+PQoZQhTdCla6fY7FYUGOs6+m2rhLuULiKhapjAVtX/NoL\nWMeh642R4sgBT5LLBNuQ++uaaePEuQCv19PtUGTXL8Yd29Q4/Eeyp9i/yHAs0r1tX340VsTbv/Rw\nLGxNZotDIYt6hazFoZBFwyLYggbt2npxKhOsX3T4KGTWLz4EwEdh/Z35KGTwkddt23+H9be95IKt\nbd12/eOy+oUIGitahEb3O+4T6rV1vOBVCzCn6zSMo7Fz9CYLyqtqUVZtRFlVLcqqalFeXYuyKiNK\nq2vFfTVGM85d0ePclabXqpALQJCfF4L8bb3Zfl7WnmyH3m37cW+5+6bHNJd9SpG94K00mFBhMKFS\nby+IjVctjisN1jVeqO1QecvF9U/UPnKonBYprXtV+Ti3a0t/k+Qak9mC/OJK5JytwK9nK5BfVOn0\n/0dpe84isWcn+Hlx9Iw7ufxfYgEBAbh8+XKD/cePH0d4eLhbgikrK8MjjzyCzMxMaDQavPjii5g6\ndWqjbZ966im8++67AIBHHnkEL7/8snhs//79eOSRR1BQUIB+/frh3//+N7RarVtiJGrPBEGAn5cc\nfl5yhKm8PR0OuZG7CvBKgwn+6gAUl5aLi6DZezlrr/FqMFkctuvmojdsY3s1W4cTG+rPYzdbUFVr\nduNvp/nkAsRpM3LbOgxycSoNxH2KesflMtt5gvO59h59a5FqK1Rtxat921q42r9AaLhtL4gVDj1R\n/OKqjgq45ogei8X6t1YqFta1tukwtSirdt6u0JtQUlWLkqpaANVNXlftI7cNDa8bHi5ui73ZXi49\nbcFssaC61owKWwHsWOQ6vlYajGJR7Fgc1xib92/JWy5A5SOHylsBlbfctm3tBfX3lkMuNDHkvt4w\n+7r9dS915zgX6Q2G+tc7ueH++u3rDfG3bZgdj1mc25vrxSU+ScS20wLHJ5HUvYcFUHh5wWAwOJwL\np6ecOF3X/hQSx+tanO8LhyeRWPNvqvuSw2DC+QoDroePQmZ7yoccqkaKbbWPHGrvhvs4naf1WCwW\nnL2iR85Za+/y/nMVTv9fKBOAAeFKDIlQ46fCyzhWUo3/5pdiYlyYB6Nuf1z+r6iUlBSsWLECH3zw\ngbjv8uXL+Nvf/oaxY8e6JZh58+YhMDAQZWVlOHjwIEaMGAGtVosBAwY4tUtLS8PWrVuRn58Pi8WC\nu+++Gz179sScOXNgMBgwbtw4/P3vf8fs2bPxzjvvYNy4cTh27Bi8vK5v2CsREdWRy6zz4YNUPlDU\n+rT6/c2WuicP2Ofp1pptQ5SNZnF/rdECg21xOIPRugK6U2HrVMjCqXBV1CtsnQpe2/SB+u34DPf2\nSxAEcS2AyE6+TbY1mMworzLaimrbT7UR5VW1Dj3ZRpTbCu0KvQmnLjU9ZNxHLojzsDV+XlB4nUF5\nZbVTD3ClwdSs0Q/2Ff/tw35V3gqxAHYshK3HFQ7trD/uXGSyPWuNL67sX3DaR485vuoM9dZMsR3T\n2f4W9UYzio3Xv66GXABUDo/XVPvU7/l2fhKI4yM66dou1xix71yFrWC+giKdc366BfogIUKNhAg1\ntF3UUNrWaOgb4o/nvj2O9INFuG9ACEcWuJFgsdT/Tq5xFy9exPDhw1FTU4PTp09Dq9WioKAAUVFR\n2LFjB4KDg5sVSGVlJYKDg3Hs2DFERlrnDc+aNQshISF46aWXnNrefvvteOyxxzB9+nQAwEcffYTX\nX38du3fvxrfffovHHnsMx48fF9v37dsXr7/+OkaPHu10nczMTCQkJDQrbvIM9p5IG/MnbcyfdDF3\nnme2WHClxohSWyFtL7Sd3ldb3+td7BX285KJxazYC+wjr1cUyx2KYoXYnj2HraMt/9urP2XL/uVO\ngwK8XuFdob/xkQvB/gr0DvZDL42/9TXYDxGBPm12znZr5c9gMiPvYiV+PVuBnDNX8FtptdOYiwAf\nOQZ3VdsK5gCEqxsfJWi2WPBYRj5OltfgycRI3NOvY899zsnJwciRI91yLZe/9lGr1dizZw/S09Ox\nd+9emM1mzJ07F9OmTYOPT/N7IAoKCuDn5ycWzgAQHx+P7777rkHbvLw8p2HYcXFxOHz4MADg8OHD\niI+Pd2ofHx+Pw4cPNyieiYiIiFqTTHB88oJfk22rDKa6nuxqI9QqFVBbbSt863qI22rBQdLQnClb\ntSbrWhgV9Z4GortKD3iF3uQw/aECe89UiNfykQvoEexnK6qtBXXPYD+xN7U9slgsOFFeg5yzV5Bz\ntgIHz+ugd3hciZdMQGxnJRIiApAQoUYfjZ9LCxPKBAFTtOFYkXUKn+deRHLfYP7vhJu4VDwbjUao\n1WocPnwYM2bMwIwZM9weiE6ng1LpvLKRUqlERUXFNduqVCrodLqrXkelUjV6HSIiIqK2yt82b7hb\noHXIeFvuvaSOyUsuQ5CfDEHX8RhOs8WCCxUGHC+txu9l1bbXKhTpanG0uApHi6uc2ndRe6O3rZju\nrfFHr2A/hKm8JDtiorSyFr/aiuV95ypQXu38SNFewb5isTywswq+Nzg14q5eQVj/y3mcvqzH7lOX\nMaxnJ3eE3+G5VDwrFAp07969RQNRqVSorKx02qfT6Zwei3W1tjqdDiqVqsnrBAQENHrfNWvWiNtJ\nSUlISkq60Y9ArSwoKMjTIVAzMH/SxvxJF3MnbcyfdDF3dTTBQGyU874rNbU4VqRDQbHO+lpUgeOl\nlThfYcD5CgN+PFm3cLHaR4G+YSpEh6oQHaZC3zA1emmULToH/0bzV20wIedMOfacLMeeU2U4XuJc\np4QovXFrj2Dc3CMYN0UFIUTpvjVF/nhrD6z8vgCbDpdgzOAekv3C4XplZWUhKytLfJ+YmOi2a7s8\nbHvBggVYunQp3n///RZZeCs6OhrV1dUoLCwUh27n5uZi4MCBDdrGxsbiwIED4tBtx3axsbF4/fXX\nndrn5uZizpw5jd53/vz5Tu/5ja408Nt3aWP+pI35ky7mTtqYP+li7lzTSw30UqtwTy8VgM4wmi04\nfakGx+091Lbe6ss1RuScvoSc05fEc+UC0L2Tr62H2jr0u3ewn22KRPNcT/5MZguOlVRZF/k6V4G8\ni5VOj3TzVcgQ30UlLvQV1cm3rqg1VKHcUHWVK1+/Yd38kOarQN6FCvxw+DQGRzTslGyPtFqt0xTf\nnJwct13b5eL5yy+/xM8//4wuXbpg4MCB8PKyDpewWCwQBAHffvttswJRKpVITU3F4sWL8dZbb+HQ\noUNIT0/Hrl27GrSdPn06Vq9ejZSUFADAqlWr8PjjjwOw9h6bTCa8/fbbmDVrFt5++20YjUaMGDGi\nWfEREREREVHrUcgE9LTNfR7Zx7rPYrGgrMpoHfJdVo3fS6twvKwaZy/rcbK8BifLa7D997pCt8Hi\nZBo/RAS4d3GyCxV66yJftkdIVehN4jGZAPQL9ccQW7HcP0wJr1Za/dpXIcOE2FCs//U8Pj1wscMU\nzy3J5eI5IiICEyZMaPSYu4YArFu3DjNnzoRGo4FGo8Ebb7yB/v37Izs7GykpKeK85Tlz5uD48eOI\niYkBADz66KOYPXs2AMDb2xtbtmzBo48+iieeeAIxMTHYsmULFAouiU9EREREJGWCIECj9IJG6YWb\nu9dNy6wxmnFSLKitr8fLql1anKy3rUD3d3FxMp3eiP3ndMg5Z32E1Lkrzs/V7qL2FlfEHtRV5dFH\nc903IASf5l5EzrkKFBRXITrU32OxtAcuP6qqPeKjqqSLw5+kjfmTNuZPupg7aWP+pIu58wz74mRi\nMe2wOFljugZ4o1dww8XJAgI7YVfBWfx6xrrQV0FJldPz1VXecgzqqhIX+uoa4L55y+7w9s9n8Xlu\nERJ7dsKzI3t6OpxW55FHVdnt2bMHp06dwr333gulUomamhp4eXlBLm+/y8gTEREREZG0yAQBXQN8\n0DXAB4kOq01X6I1O86iPl1XjVHkNzl0x4NwV58XJVN5ymC1AVW3dUGy5AMR1ts5bHhKhRt8Q/zb9\nKKjU2DBsOVSMH09cwulLNejeydfTIUmWy8VzUVERUlJSkJOTA0EQcOzYMfTq1QsLFiyATCbDv/71\nr5aMk4iIiIiIqNnUPgpou6ih7VI3B9hxcbLfS6vFR2ldrrE+Siqqk6+4yFd8FxX8vKTTcahReiG5\nbzD+e7QUnx8swpOJkZ4OSbJcLp7nz58PjUaDs2fPIjo6WtyfmpqKuXPntkhwRERERERELa2pxck6\nBQVC7sZVsD3h/vgwbCsoxffHyjA9oTNClN6eDkmSXF7qbdu2bfjnP/+JLl26OO2Pjo7GyZMn3R0X\nERERERGRx9gXJ3Pns5c9JSLQF4k9OsFotiDjULGnw5Esl4tnvV6PTp06Ndiv0+ng4yP9PygiIiIi\nIqL2arI2HADw1ZESXLENR6fr43LxPHjwYGzbtq3B/g0bNuCWW25xa1BERERERETkPn1DrM+brjGa\n8Z8jJZ4OR5JcnvO8ZMkSTJw4EefOnYPRaMRnn32GvLw8fPrpp8jMzGzJGImIiIiIiKiZpmjD8evZ\nCmw+VISJA0PhK6GFz9oCl3uek5OTsWXLFmRlZUEmk2Hp0qU4efIkvvnmGwwbNqwlYyQiIiIiIqJm\n0nZRISbUH1f0JmwrKPN0OJLTZPG8dOlSVFZWAgAKCwuRlJSErKwsVFZWoqqqCjt37kRSUlJrxElE\nRERERETNIAgCptjmPm86eBFGs8XDEUlLk8XzkiVLoNPpAAA9evRASUnLjY0vKyvDhAkTEBAQgJ49\ne2Ljxo1Ntn/qqacQGhqK0NBQPP30007HZs+ejZiYGMjlcrz//vstFjMREREREZGU3BYViO6dfFCk\nq8UPv5d7OhxJabJ4DgkJQUZGBs6cOQMAOH/+PM6dO9foT3PNmzcPgYGBKCsrQ0ZGBubOnYu8vLxG\n26alpWHr1q3Iz8/HkSNHsG3bNqSlpYnHBw0ahHXr1iEhIQGCIDQ7NiIiIiIiovZAJgiYEm/tff7s\nwEWYLex9dlWTxfPChQsxb948REZGArCuuN2tW7cGP927d29WEJWVlcjIyMDSpUuhUCgwePBgTJo0\nCRs2bGi0/fvvv4+FCxdCo9EgJCQEixYtwvr168Xjc+fOxYgRI+Dr69usuIiIiIiIiNqb4b2DEKr0\nwqlLNdhTeMXT4UhGk6tt//Wvf8WUKVNw6tQpJCUlIT09HUFBQW4PoqCgAH5+fmKRDgDx8fH47rvv\nGm2fl5cHrVYrvo+Li8Phw4fdHhcREREREVF74yWXYVJcGN746Sw+OXABt0YGcMSuC5osnj/44ANM\nnjwZUVFRWLx4MUaNGgWlUun2IHQ6XYPrKpVKVFRUuNRepVKJc7Ov15o1a8TtpKQkLoAmIS3xRQ61\nHuZP2pg/6WLupI35ky7mTtraY/6m3hKAj/dfxJGiKpysFJDQvX18xqysLGRlZYnvExMT3XbtJovn\nGTNm4J577oGvry+ef/55PP744zdUPCclJWHnzp2NHhs2bBjWrl0rruptp9PpoFarGz1HpVI5tdfp\ndFCpVNcdFwDMnz/f6X15OSfNS0FQUBBzJWHMn7Qxf9LF3Ekb8yddzJ20tef8jR0Qgg05F/DOj79h\n+T19PB2OW2i1WqdRyjk5OW67dpNzngMDA/Hzzz83+yZZWVkwm82N/uzcuRN9+/ZFdXU1CgsLxXNy\nc3MxcODARq8XGxuLAwcOuNSWiIiIiIiIGho3IBS+Chn2nqnA76VVng6nzWuyeJ4xYwbGjh0LhcLa\nQR0REQEvL68GP97e3s0KQqlUIjU1FYsXL0ZtbS327duH9PR0PPzww422nz59OlavXo2SkhKUlJRg\n1apVmDFjhni8trYWNTU1MJvNMBgMqKmpgYWryBEREREREYkCfBVIidEAAD45cNHD0bR9TQ7bfvXV\nVzFhwgScPHkSM2bMwKpVqxAQENAigaxbtw4zZ86ERqOBRqPBG2+8gf79+wMAsrOzkZKSIs6BnjNn\nDo4fP46YmBgAwKOPPorZs2eL10pOTsbOnTshCAJ2796N2bNnIysrC3feeWeLxE5ERERERCRFE+PC\n8GVeCbJPXMLZy3pEBPp4OqQ2S7C42CU7Y8YMrF27tsWKZ0/IzMxEQkKCp8OgG9Ce5550BMyftDF/\n0sXcSRvzJ13MnbR1hPyt2nkK3xSU4d4YDeYPi7z2CRKSk5ODkSNHuuVaTQ7bdrR+/fp2VTgTERER\nERERcH98OAQA3xaUobSq1tPhtFlNDtuePXs2Vq9eDZVKhVmzZjX67C+LxQJBEPDWW2+1WJBERERE\nRETUMiI7+eKOHoH48eRlbDlUhEdujvB0SG1Sk8VzQUEBjEYjAODYsWNNFs9EREREREQkTZPjw/Hj\nycv4z5ESTNGGQ+XTZKnYITX5G3F8uLTjNhEREREREbUfMWFKDOqqwv5zOnx1pAQPDOrs6ZDaHJfn\nPBMREREREVH7NUUbDgDIOFQMvdHs4WjaniZ7nh3nOV9teDbnPBMREREREUlfQlc1+ob44VhJNb4t\nKMV9A0I9HVKb0mTxXH+ec05ODoxGIwYOHAgAOHToEBQKBR/3REREREREJHGCIGCKNhzLMk/i84NF\nSIkJgVzG9a3sXJ7z/Prrr0OlUuHDDz9EYGAgAODy5ct4+OGHkZyc3KJBEhERERERUcu7I6oTIgJ8\ncPaKHjuOl2NEn2BPh9RmuDzneeXKlVi5cqVYOANAYGAgVqxYgX/+85/NDqSsrAwTJkxAQEAAevbs\niY0bNzbZ/qmnnkJoaChCQ0Px9NNPi/uPHj2KlJQUaDQaqNVqDB8+HHl5ec2Oj4iIiIiIqL2TywRM\njg8DAHx64CIsFouHI2o7XC6eS0pKYDAYGuw3GAwoLi5udiDz5s1DYGAgysrKkJGRgblz51616E1L\nS8PWrVuRn5+PI0eOYNu2bUhLSwMAVFRU4KGHHkJhYSHKy8uRlJSEMWPGNDs+IiIiIiKijmBk32Bo\n/L1worwGe89c8XQ4bYbLxfOdd96J//3f/0VhYaG4r7CwEH/+859x5513NiuIyspKZGRkYOnSpVAo\nFBg8eDAmTZqEDRs2NNr+/fffx8KFC6HRaBASEoJFixZh/fr1AIChQ4fiwQcfhFKphEKhwIIFC3Dy\n5ElcvHixWTESERERERF1BN5yGSbGWRcL+2Q/6yg7l4vntLQ0lJaWokePHujWrRu6deuGHj16oLi4\nuNkrbRcUFMDPzw+RkZHivvj4eBw+fLjR9nl5edBqteL7uLi4q7b94Ycf0LlzZ4SFhTUrRiIiIiIi\noo4ipV8IVN5yHLpYiUMXdJ4Op01ocsEwR1FRUThw4AC+/fZbHDx4EIC1wE1OToZC4fJlGqXT6aBU\nKp32KZVKVFRUuNRepVJBp2uY0LNnz+Lxxx/Hq6++2uhjtoiIiIiIiKghf285xg4Iwcf7L+LT3IsY\n2Fnl6ZA87rqqXoVCgZSUFKSkpFzXTZKSkrBz585Gjw0bNgxr165FZWWl036dTge1Wt3oOSqVyqm9\nTqeDSuWczJKSEiQnJ2PevHmYMmXKVWNbs2aNU5xJSUnX+jjURgQFBXk6BGoG5k/amD/pYu6kjfmT\nLuZO2jpq/mbcoUT6oWLsKbyCUqMX+oS2/QI6KyvL6alRiYmJbrt287qMXeQYfGMqKytRXV2NwsJC\nceh2bm6u+Dzp+mJjY3HgwAFx6Hb9tuXl5UhOTsb48ePxzDPPNHnv+fPnO70vLy+/1sehNiAoKIi5\nkjDmT9qYP+li7qSN+ZMu5k7aOnr+7onW4Iu8YrydfQxPD+/h6XCuSavVOk3xzcnJcdu1XZ7z3JKU\nSiVSU1OxePFi1NbWYt++fUhPT8fDDz/caPvp06dj9erVKCkpQUlJCVatWoUZM2YAAK5cuYLRo0cj\nMTERL774Yit+CiIiIiIiovZlUlwYZAKQdbwcFyr0ng7Ho9pE8QwA69atw6VLl6DRaJCamoo33ngD\n/fv3BwBkZ2c7DeGeM2cORo8ejZiYGMTExGD06NGYPXs2AGDz5s345Zdf8O6770KtVkOtViMgIABn\nzpzxyOciIiIiIiKSqnC1N0b0DoLZAmw6WOTpcDxKsHTgp15nZmYiISHB02HQDejow2ekjvmTNuZP\nupg7aWP+pIu5kzbmDzhZXo3Z6fnwlgv48IFYdPLz8nRILsvJycHIkSPdcq020/NMREREREREbU+P\nID/cFhkIg8mCzYeLPR2OxzS5YFhycjIEQcDVOqftxwRBwLffftsiARIREREREZFnTdGGY3fhZXyZ\nV4LJ8eFQess9HVKra7J4joiIaLJ4tuMzlImIiIiIiNqvAeFKxHVW4eAFHb7OtxbQHU2TxfP69etb\nKQwiIiIiIiJqyx7QhuPgBR0yDhZh/IBQeCs61izgjvVpiYiIiIiI6IYM7aZGr2A/lFUb8d1vZZ4O\np9U12fNc39dff41PPvkEFy5cgNFodJrzvH379paKkYiIiIiIiDxMEAQ8oA3Hiz+cxOe5F3FPtAZy\nWceZwutyz3NaWhpSU1NRXV2NHTt2QKPRoKSkBPv27UOvXr1aMkYiIiIiIiJqAxJ7dkIXtTfOXTHg\nx5OXPB1Oq3K5eF61ahVWr16NTZs2wcfHBytWrEBubi6mTZuG7t27t2SMRERERERE1AbIZYK4WNin\nBy5ec3Hp9sTl4vnkyZO49957AQByuRwGgwEA8Je//AVpaWktEx0RERERERG1Kcl9gxHkp8BvpdX4\n9WyFp8NpNS4Xz506dRIL5rCwMOTn5wMALl26hNLS0mYHUlZWhgkTJiAgIAA9e/bExo0bm2z/1FNP\nITQ0FKGhoXj66afF/aWlpbjtttsQHBwMpVKJgQMH4rPPPmt2fERERERERAR4K2RIHRgGwNr73FG4\nXDzfeuutyM7OBgCkpKTgySefxLPPPovp06fj9ttvb3Yg8+bNQ2BgIMrKypCRkYG5c+ciLy+v0bZp\naWnYunUr8vPzceTIEWzbtk3s/VapVPjggw9QWlqKyspKLF++HNOmTcOlSx1rPD4REREREVFLGdM/\nBP5eMhw4r8ORokpPh9MqXC6e16xZg1tvvRUA8MILLyApKQmfffYZ+vTpg/fee69ZQVRWViIjIwNL\nly6FQqHA4MGDMWnSJGzYsKHR9u+//z4WLlwIjUaDkJAQLFq0SHwmtY+PD/r27QtBEGA2myGTyRAa\nGgp/f/9mxUhERERERERWSm85xg4IBdBxep9dflRVz549xW21Wt3sgtlRQUEB/Pz8EBkZKe6Lj4/H\nd99912j7vLw8aLVa8X1cXBwOHz7s1CY+Ph5Hjx6FSqXCf//7X3h7e7stXiIiIiIioo5uwsBQpB8q\nwq5Tl1FYXoPIIF9Ph9Sirus5zy1Fp9NBqVQ67VMqlaioaHzyef32KpUKOp3OqU1ubi7MZjPeeecd\nTJw4Efn5+VCpVA2utWbNGnE7KSkJSUlJzfgk1JqCgoI8HQI1A/MnbcyfdDF30sb8SRdzJ23MX+OC\ngoBxceXYtP8stuSXY3HKAE+HhKysLGRlZYnvExMT3XZtl4vnixcvYv78+fjuu+9QXl66HhE9AAAg\nAElEQVTudEwQBJhMpquem5SUhJ07dzZ6bNiwYVi7di0qK53Hyet0OqjV6kbPUalUTu11Ol2jhbFM\nJsPs2bPxr3/9C5mZmRg3blyDNvPnz3d6X/+zUdsUFBTEXEkY8ydtzJ90MXfSxvxJF3Mnbcxf0+6L\nDkTGgbPYmncBD8RpEKby7IhfrVbrNEo5JyfHbdd2uXiePn06fv/9d/z9739HWFjYdd3EsfJvTGVl\nJaqrq1FYWCgO3c7NzcXAgQMbbR8bG4sDBw6Iv5Sm2gKAyWSCIAjXFTMRERERERE1rUuAD5J6BWH7\n7+VIP1iEx2/r5umQWozLxfPOnTvx448/YsiQIW4PQqlUIjU1FYsXL8Zbb72FQ4cOIT09Hbt27Wq0\n/fTp07F69WqkpKQAAFatWoXHH38cALB3715YLBYMHToURqMRb775JoqLizkcm4iIiIiIqAVM1oZj\n++/l+O/RUjw4uDMCfdvE7GC3c3m17bCwMAQEBLRYIOvWrcOlS5eg0WiQmpqKN954A/379wcAZGdn\nOw3hnjNnDkaPHo2YmBjExMRg9OjRmD17NgCgqqoK/7+9e4+Lqtr7B/4Z7pdhEAERUEETArkdQy0V\nDS9cMlNATT0ePZS/I6WZPmla59FIJa2Ol8LKWycxS48XUMsbAip4/WleQEBFU0BEQC4qIAIO+/nD\nw86BAQYYZiQ/79eLV8zea6/13fN1N6zZa681depUmJubw9raGr/88gsOHTrUprETERERERE9r3p0\nNEa/rjJUPq7BnrS72g6nzUgEQRBUKbh+/XqcPn0a33//PXR0VO5zP9MSEhLw0ksvaTsMagE+e9K+\nMX/tG/PXfjF37Rvz134xd+0b86eaS3llmLP3GswMdfHTBDcY6+tqOyQAT555HjZsmFrqUvl++o4d\nO3D27FnExsbC1dUVEokEEokEgiBAIpHg0KFDagmIiIiIiIiI2hd3G1P0sjFFen459l8pwhiP5s2T\n1R6o3Hm2t7eHvb290n2cjIuIiIiIiOj5JZFIMMHLBp8cuoHoSwUY1csK+rp/jhHLtVTuPEdFRbVh\nGERERERERNSe9esqg6OFETJLHiHhegkCX7TUdkhq1exp0H7//XdcunQJAODp6YkePXqoPShtEwQB\nBQUFXOLqGXb37l08fvxY22E8l2qnSZDJZErXVyciIiKi55OORILxXjb44mgWdqTkw8+pI3R1/jz9\nKZU7zw8fPsSkSZOwZ88ehe3BwcH46aefYGxsrPbgtKWgoABmZmYwMTHRdihEzyRBEFBcXIzKykpY\nWv65vlEkIiIiopZ7tYcFon67g1v3K3Eq6z58unfQdkhqo/Ig9A8//BApKSk4cOAAysrKUFZWhv37\n9+PChQuYO3duW8aocXK5nB1nokZIJBJYWlqisrJS26EQERER0TNET0eCcZ5PJgvblpIPFRd3ahdU\n7jzv3LkT//73vxEQEAATExOYmJggMDAQP/zwA3bs2NGWMWoch2oTqYbXChERERHV5e9sCXMjPVy9\n+xAXc8u0HY7aqNx5vn//PhwdHettd3BwwIMHD9QZExEREREREbVTRno6CHazBgBsS87XcjTqo3Ln\n2c3NDRs2bKi3fcOGDXB3d29VEMXFxQgODoZMJkP37t2xdevWRsvPnz8f1tbWsLa2xkcffaS0zI8/\n/ggdHR38+9//blVsz5rFixdj7dq1AIDjx4+3+r1vj958801s27ZN22Eo2LBhAxYtWqTWOufMmYPl\ny5ertU4iIiIiIk14o5cVjPV1cD63FBl3H2o7HLVQecKwJUuWYNSoUTh+/DgGDx4MAEhMTMTJkyfx\n66+/tiqIGTNmwNzcHMXFxbh06RKGDh0KLy8v9OrVq17ZdevW4cCBA7hy5QoEQcDw4cPRvXt3hIWF\niWVKSkqwdOlSuLu7/6mGlRYWFmL79u04d+6ctkPRqu3bt2s7hHqmTJkCb29vzJgxA1ZWVuL2O3fu\nwM/PD6mpqc2uc8WKFeoMkYiIiIhIY8wM9TDS1Qo7UgqwLSUfC4d113ZIrabynecRI0YgKSkJNjY2\niI6ORnR0NGxtbXHs2DG89tprLQ6gvLwcMTExWLx4MfT09NC7d2+MHTsWmzdvVlp+06ZNmDt3Liwt\nLWFlZYUPP/yw3hrUH3/8MWbNmvWnmwV469at8PPzg6GhoVba1/bSUIIgtMmEA+qo19DQEMOHD693\nRzw+Ph7Dhw9vdn01NTWtikfT9RIRERER1RXi1gn6OhIcv3kPt+490nY4raZy5xkABgwYgO3btyM9\nPR3p6enYtm0b+vfv36oAMjIyYGxsjG7duonbPD09kZaWprR8eno6vLy8xNceHh4KZc+cOYPz58/j\nnXfeaVVcz6KEhAQMHDiwwf3Z2dl488034ejoCFdXV3z99dfivi+++AJvvfUWpk+fDgcHB3h7e+Ps\n2bNNtunl5YXIyEgMGjQIDg4OkMvlsLS0RGZmplhmxowZWLp0KYA/hpJ/9913cHV1Rc+ePbFx48ZG\n20hMTMSAAQPQrVs3DBw4EElJSeK+N954A5999hkCAwPh4OCAzMxMvPHGG+KXK3K5HHPmzBHPacOG\nDbC0tGyyk6isXi8vLyQmJiq8Z7X/jrKzs2FpaYn//Oc/8PLygoODA5YtW6ZQp4+PDw4dOqSwLS4u\nDn5+fgCAlJQU+Pn5oVu3bvD29sauXbsU3sM5c+bgzTffhIODA44dO6bwvtbG06NHD3h4eGDz5s31\n8qCMsnqffv8AYMuWLRgxYoT42tLSElFRUejXrx+6du2K999//081SyIRERERaYalqT78nDpCALDj\nUoG2w2m1ZnWe20JZWRlMTU0VtpmamqK0tFSl8lKpFGVlT2Zwk8vlmDFjBr755ps/1XDtWunp6ejZ\ns6fSfXK5HG+++SYGDBiAGzduID4+Hps2bcK+ffvEMrGxsRg/fjyysrIQFBSEefPmNdmmRCLBr7/+\nil27diEzMxO6urpKyzz9fhcUFODhw4dIT0/H2rVr8fHHH+PevXtK68/Pz8eUKVMwf/58ZGdn4+OP\nP8bkyZNRUPDHxRUdHY21a9ciKysL3bp1U2hv3bp1OHPmDM6dO4fExETExcWpnPun6+3atWu981Dm\n3LlzOHfuHPbv34+vv/4a6enp4j4nJyeF4dnV1dU4deoUfH19UVlZiYkTJyI4OBjZ2dlYu3YtZs+e\nrVB+9+7d+N///V9kZWWhf//+CvHs3bsXmzdvxpEjR3Du3DmVvvhQpd6GJCQk4OjRozh9+jQOHjyI\n2NhYldsjIiIiIqo1zrMTdCRA/LViFJZXaTucVmn0mWd9fX3k5ubC2toa+vr6DZaTSCSoqlL+Rvj6\n+ircSXyaj48PIiMjUV5errC9rKwMZmZmSo+RSqUK5cvKyiCVSgEA3333HTw9PdGvXz9xf1N3zJ6+\nO+vr6wtfX1/cvXu3wfL+319otL7mOPT/ejer/P3798Vzrev06dN4+PAhZs+eDQCwt7fH5MmTsXv3\nbrz++usAgP79++PVV18FAIwbNw6rV69Wqd1p06YpPMerzNPvs76+Pj744ANIJBIMHz4c5ubmuHr1\nKl5++eV6x8XGxsLNzQ2jR48GAIwcORJr167F/v37ERoaColEgkmTJokzvdftvO/ZswfvvvuuGN/s\n2bORkJDQ5DnVrVdPT7XH/z/44APo6enBzc0NHh4eSE1NFZ/Nl0qlCjPPnzx5Eh4eHjA1NcWRI0cg\nkUgwffp0AEDfvn3x+uuvIyYmRpz0beTIkeKoCgMDg3rnOXnyZDg4OAAA5s2bh59//lml82ys3obM\nnDlTXJLOx8cHqampCAwMrFdOT08PFhYWKtVZV0uPo2cD89d+MXftG/PXfjF37Rvz13IWFsBQ5yLE\nXy3AvusPMNvXqU3bO3r0KI4ePSq+HjRokNrqbrTHsGHDBrETq2ymbVU8Hbgy5eXlqKioQHZ2tjh0\nOyUlpcFZpN3c3JCcnCx2Bp4ue/jwYSQmJmL//v0AnszifeHCBSQnJyMyMlJpfbNmzVJ4XVJSovVn\nexvSoUMH8S57Xbm5ucjLy0P37n88iF9TU6PQYbW2thZ/NzExgVwuR01NDXR0Gh+AYGNj06w4LSws\nFOo0NjZGZWUlcnJyMGDAAABPOnVZWVkoKCiAvb29wvFdunRR+AKjsfaLiopga2srvn7696Y097zq\nHmNsbKzwpVFZWRlkMpn4Oi4uTnze+e7du0rPMy8vD8CT96Op83z6wm/r8+zUqZP4u4mJSYNfjj1+\n/BglJSXNrt/CwqJFx9Gzgflrv5i79o35a7+Yu/aN+Wu9YFcLxF8tQPSF2wh+sQNkRirPW91sXl5e\nCo/5nj9/Xm11Nxp1aGio0t/VydTUFCEhIQgPD8f69euRmpqK6OhonDx5Umn5KVOmYOXKleIzmitW\nrMC7774LAIiKikJlZSWAJ3dCQ0JCMG7cOEydOlVt8Tb3brE6ubm54fr16/jLX/5Sb1+nTp3wwgsv\n4NSpU20eh76+PioqKsTXRUVF9TqGynTp0gXZ2dkK22xsbOrdKc7JyVH5WXorKyvcuXNHfJ2bm6vS\nccoYGBjg4cM/ptEvLi5u1vEZGRkKX/okJCTgxx9/BPDki4vbt28rlM/JyVG5E9yW58kPAyIiIiJq\nS05WJvC2N8O526X49XIhJvXurO2QWkTlZ5579OiBoqKiettLSkrQo0ePVgXx3Xff4d69e7C0tERI\nSAjWrFkDV1dXAMCxY8cUhnCHhYUhICAALi4ucHFxQUBAAKZNmwYAMDc3R6dOndCpUyfY2NjAwMAA\nMpmswSHg7c3w4cNx4sQJpfsGDhwIQRCwYcMGVFVVQRAEXLt2DcnJyWqPw93dHTt27EBNTQ2SkpJw\n/PjxFtfl7++P9PR0cbmzffv24dKlSwpDhBsbej9q1CisW7cOhYWFKC0txerVq1V+5rluvW5uboiJ\niYFcLkdaWhp++eWXJut6uo4TJ06Ik4NlZWWhsrISTk5PhqUMGDAAgiBg7dq1EAQBZ8+exb59+xAU\nFNTgOT49C/ioUaOwefNmZGVloaqqSuVlrJTV6+bmhr1796KiogK3bt0SO/jNqYOIiIiIqDnGez0Z\nDbkrtQCPquVajqZlVO48Z2ZmQi6vf5LV1dXIyspqVRAWFhbYtWsXHjx4gJs3b2LChAnivkGDBtWb\nPOyLL75AYWEhCgsL8fnnnzdY75EjR/D222+3KrZnyYQJExAXF4dHj/6Y5r22c6enp4edO3ciKSkJ\nL774IhwdHTF9+nSFibrqdgRbOqnasmXLsGfPHnTv3h1bt26tt1RZc+q1sbFBVFQUli1bhq5du2Lp\n0qX48ccfFYYaN1ZfWFgYvL294e3tDV9fXwwZMgSCIDQ5FF1ZvQsWLMCVK1fg6OiIJUuWIDg4uMnz\nqt326NEjxMfHi/92Dx06BH9/f7GcoaEhtmzZgujoaDg4OCAsLAwrV66Eh4eHWI+y/NRuGzlyJCZN\nmgRfX194e3vjpZdeAlD/GXBl8dWtd+bMmZDL5XByckJYWBhCQkIUyjQWBxERERFRS3jZSuFibYIH\nlXIczGjeCM9nhURo4rZSUlISBEHAkCFDEBMTg44dO4r7BEFAXFwcNm3ahFu3brV5sOqWkJAgdkKe\ndufOnWY9U6pJERERsLKy+lMuxaUOiYmJCAsLw5UrVzTa7oYNG5Cbm4vw8HAAwPjx4zFt2jQMGzas\nTdq7efMm+vbti1u3bsHY2LhN2lBFS68VPjvUvjF/7Rdz174xf+0Xc9e+MX/qcyLzHhbF30QnqT6i\n3nSDnk7b36A5f/682v4mb/JJbV9fX/H3kJCQevuNjY2xcuVKtQRDTVuwYIG2Q3imPHr0SFwOqqio\nCF9++WW9O+Ga8I9//EPhtY+PT6NrcrdEbGwshg0bhoqKCixevBi+vr5a7TgTERERETVHfwdzdO1g\niFv3KnHk9xL4OXVs+qBnSJOd59oJnrp164bz588rLFmkq6sLKyurRpexomfb0zNgP00ikeDkyZMq\nTQSmTYIgYNGiRfj73/8OiUQCPz8/LFq0CADEtZvr2rFjh9Jls9Rp5syZaq9z3bp1mDZtGgRBwCuv\nvCLOIN+/f/96k5EBwKpVqzBmzBi1x0FERERE1BI6EgnGe9pgeVI2tifnY1hPC+i0o8cDm+w8d+nS\nBcCTZY/oz0fZDNjtibGxcYPLobXHRwkaExMTo3S7JmZYJyIiIiJShyEvWGDTuTvIuvcI/z/7Afo7\nmGs7JJWpPGFYRESE0ll5N23ahGXLlqk1KCIiIiIiIvrz0dfVwViPTgCA/yTntauVXVTuPK9fvx4u\nLi71tru4uGDt2rVqDUrb2lMCibSJ1woRERERNddrL1rCzFAXlwse4lJembbDUZnKnee8vDylz7/a\n29sjNzdXrUE9C9gpIGocH+UgIiIiopYw0tdFkJs1AGBbcr6Wo1Gdyp3nzp07Iy0trd729PR0WFtb\nqzUobZPJZCgubp9rjxFpQk1NDW7fvq0wgSARERERkapG97KGkZ4OzuaU4veih9oORyVNThhWKyQk\nBLNmzUJ0dDR69eoFAEhLS8P777+PsWPHtlmA2iCVSlFZWYnc3FylszWT9unp6eHx48faDuO5VDsq\nw8bGBgYGBlqOhoiIiIjaI5mRHka4WCIm9S62JRfgn0MdtR1Sk1TuPEdERODixYtwd3eHra0tAODO\nnTsYNGgQli5d2upAiouLMXXqVCQkJMDS0hJLly7FxIkTGyw/f/58/PDDDwCAqVOn4vPPPxf36ejo\nwMTEROz4Tpw4EevXr29WPJaWli04C9IULlZPRERERNS+jfHohF/SC5F0swR/v28Le3NDbYfUKJWH\nbUulUhw5cgRxcXGYNWsWZs2ahbi4OCQmJkIqlbY6kBkzZsDc3BzFxcWIiYnB9OnTkZ6errTsunXr\ncODAAVy5cgWXL1/GwYMHsW7dOoUyly5dQmlpKUpLS5vdcaZnX0PLU1H7wPy1b8xf+8XctW/MX/vF\n3LVvzF/bsTY1wLCeFqgRgFPZ97QdTpNU7jwDgEQiwbBhwzBv3jzMmzcPw4YNU0sQ5eXliImJweLF\ni6Gnp4fevXtj7Nix2Lx5s9LymzZtwty5c2FpaQkrKyt8+OGHiIqKUijDyYz+3Pg/sfaN+WvfmL/2\ni7lr35i/9ou5a9+Yv7Y1qXdnfD3KGWM9bLQdSpNUHrYNAPn5+di7dy/y8vIgl8sV9n3yySctDiIj\nIwPGxsbo1q2buM3T0xNxcXFKy6enp8PLy0t87eHhUW8ys0GDBuHRo0fo378/IiMj8cILL7Q4PiIi\nIiIiIlK/zmaG6Gz2bA/XrqVy5zkpKQkjR46EkZERioqKYGdnh7y8PBgaGsLW1rZVneeysjKYmpoq\nbDM1NUVpaalK5aVSKcrK/lgf7MSJE3jllVfw8OFDfPrppwgICMCVK1egp9es7wqIiIiIiIiIAAAS\nQcUFjfv37w8vLy+sWbMGMpkMFy9ehFQqxV//+lfMmDEDISEhDR7r6+uLpKQkpft8fHwQGRkJX19f\n3Lv3xzj3yMhIxMfH45dffql3TIcOHZCYmCjefU5JSYGPjw8ePHhQr2xNTQ0sLS0RHx8Pb29vhX0J\nCQmqnDoRERERERG1U+p63FjlW7EXL17EDz/8AIlEAolEgpqaGtjY2ODLL7/E3/72t0Y7z009J1Be\nXo6KigpkZ2eLQ7dTUlLg7u6utLybmxuSk5MVOs8Nla2l7Blodb2JRERERERE9Oem8oRh+vr64lDp\nDh06ICcnBwAgk8lw48aNVgVhamqKkJAQhIeHo7q6GhcuXEB0dDQmT56stPyUKVOwcuVKFBYWorCw\nECtWrEBoaCgA4PLly0hLS4MgCKioqMA///lPmJubo3fv3q2KkYiIiIiIiJ5fKneePT09cfHiRQDA\nyy+/jKVLlyIhIQEfffQRevTo0epAvvvuO9y7dw+WlpYICQnBmjVr4OrqCgA4duwYzMzMxLJhYWEI\nCAiAi4sLXFxcEBAQgGnTpgEA8vLyEBwcDDMzM9ja2iI5ORmxsbF83pmIiIiIiIhaTOXO88KFC8Xf\nly5dihs3bsDPzw9Hjx5FZGRkqwOxsLDArl278ODBA9y8eRMTJkwQ9w0aNKje5GFffPGFeOf5888/\nF7cPGTIEGRkZKCsrQ3JyMuRyOfr06QNLS0uEhYWhqqpKaftbtmxB9+7dIZPJEBwcjJKSklafE7VO\nVlYW/P39YWZm1mj+jh49Ch0dHZiZmYk/DS1zRpqRnJyMAQMGQCaTwcnJCbt3726w7KpVq2BnZwcL\nCwtMnTq1wWuUNEfV/EVFRUFXV1fh2mtofgtqG9988w369OkDIyMjvPXWWwr7EhIS4OLiAjMzMwwd\nOhTZ2dkN1pOZmYkhQ4bAzMwMrq6unBNEQ9SVP0dHR5iYmIjXYWBgYFuH/txrKHfV1dUYO3Ysunfv\nDh0dHSQmJjZaT3FxMYKDgyGTydC9e3ds3bq1rUMnqC9/vr6+MDY2Fq+92ht/1HYayt2pU6cwZMgQ\ndOjQAebm5hg9ejRu377dYD0tvfZU7jwPGjQIr7/+OgDAyckJ169fR05ODvLy8uDn56dqNRr1zjvv\nwN7eHkVFRUhPT8epU6fw9ddf1yuXlpaG6dOnIzo6GkVFRbCwsMD06dO1EDE9TdX8AYC9vT1KS0vF\nn4aG/FPbq66uxhtvvIGJEyfiwYMH2LhxI/72t7/h2rVr9crGxsZi+fLlOHnyJHJycpCTk4Pw8HAt\nRE21mpM/ABg4cKDCtTd48GANR/x8s7e3x8KFC/H2228rbC8sLMTYsWOxatUqlJaWwsfHB+PHj2+w\nnokTJ4q5/OqrrzB27FgUFha2dfjPPXXlTyKRYO/eveJ1ePDgwbYO/bnXUO4AYPDgwfjpp5/QuXNn\nSCSSRuuZMWMGzM3NUVxcjJiYGEyfPh3p6eltFTb9l7ryJ5FI8O2334rX3uXLl9sqZPqvhnJXWlqK\nOXPmoKCgAHl5ebCxscGkSZMarKel155KnefHjx9DJpMp/PEkkUhgZ2cHfX19VarQiuvXr2P8+PEw\nMDCAjY0NAgMDlf4B+PPPPyMkJAQvvfQS9PX1sWTJEsTExKC8vFwLUVMtVfNHz5aUlBSUlJRg5syZ\nAJ7MqD9w4EClowE2bdqEsLAwODo6wtTUFJ988gmioqI0HDE9rTn5AwAVF2ygNhIcHIzRo0fD0tJS\nYXtMTAx69+6N1157DQCwYMECpKamIiMjo14dGRkZSE5OFkeYBQQEoE+fPoiOjm77E3jOqSN/tXgt\nalZDudPX18f777+PgQMHQldXt9E6ysvLERMTg8WLF0NPTw+9e/fG2LFjOXpOA9SRv1q89jSrodz5\n+/tj5MiRMDAwgLGxMd5//32cPn1aaR2tufZU6jzr6emhS5cuqhR9prz22mvYsmULKioqcPv2bRw4\ncEC8e/609PR0ceZu4Mk3GlKptNEPKWp7quYPAAoKCtC5c2fY2tri3Xff5RcfWqTsQ6Smpgapqan1\ntte99jw8PJCfn8/HJrSoOfmTSCS4cOECrK2t4eDggH/+85+Qy+WaCJPqqJu3tLQ0hWvLwMAAzs7O\nSvOYlpYGZ2dnGBoaits8PT2RlpbWdgGTgtbkr9akSZNgYWEBX19f/Pbbb20WKylqTccpIyMDxsbG\n4kozAK89TVNHx/ejjz6ChYUF+vbti9jYWDVERapoKndHjhyBp6en0n2tufZUHrY9Z84cLF68GNXV\n1aoeonWffvopUlNTIZPJ0LVrV/Tt2xejR4+uV66srEycSbyWVCqt95w1aZaq+evVqxfS0tKQl5eH\nc+fO4dq1axx2r0Wenp4wNzfHqlWrUFNTg6NHjyIpKQllZWX1yta99qRSKQDw2tOi5uTv1VdfxdWr\nV3H37l3ExcVh3759WLx4sRaiprpDC8vLy2FiYqKwTSqVqnQd1pbldag5rckfAGzbtg05OTkoKChA\nUFAQ/P39UVxc3Gbx0h+aGtbbGGXXnqmpKa89DWpN/gBg+fLluHXrFoqKijBnzhyMGTMGV69eVVN0\n1JjGcpeSkoLw8HCsWrVK6f7WXHsqd55/+eUX7Nu3D7a2tvD19YWfnx/8/f3F/z5rBEFAQEAAxo0b\nh4cPH6KwsBD379/H/Pnz65VV9oFUVlamMMM3aVZz8tepUyf07NkTAGBnZ4cvv/ySww21yMDAAHv2\n7MG2bdtgZWWFiIgIjBs3Dh07dqxXViqVKowSqL0Oee1pT3Py5+joCHt7ewCAs7MzwsPDee1pSd1v\n4OteW0DDn2vKypaWlkImk6k/UFKqNfkDgH79+kFPTw/6+vqYPXs2unTpgsOHD7dZvPSH1ty5bG6e\nSf1ae+fZ29sbRkZG0NHRwYQJEzB06FD8+uuvaoqOGtNQ7q5fv44RI0Zg9erVGDhwoNIyrbn2VO48\n29vbIzg4GCNHjhT/YLKzs4O9vb34x9OzJD8/H+fOncN7770HfX19dOzYEW+//bbSf9Bubm5ISUkR\nX+fk5KCsrAzOzs6aDJme0pz81SUIAp8/0TJvb2+cPn0axcXFiI+PR25uLnx8fOqVc3NzQ3Jysvg6\nJSUFNjY2sLCw0GS4VIeq+atLEATU1NRoIEKqq+438HU/1yorK3H16lW4ubnVO9bNzQ3Xrl1DZWWl\nuC0lJUVpWWobrclfQ/g5qBmtuXPp7OyMiooKhZnUU1JS4O7uro7QSAWtvfNcF/8G1RxlucvKyoKf\nnx8++eSTRicLa82112jn+ccff8SjR48APFmSpKGfjRs3NtmQpllZWcHKygpr1qyBXC7HvXv3sHHj\nRvTq1ate2UmTJiEmJgYXLlxAVVUVFi5ciDFjxtS7nU+a05z8HT9+HLm5uQCedLo//vhjpcO7SXPS\n09NRWVmJx48f45tvvsHNmzcRGhpar9yUKVOwfv16ZGZmory8HEuWLKm3XAtpnrN/pV4AAAqrSURB\nVKr5S0hIQFFREQDgxo0biIiIQFBQkIajfb7J5XI8evQIjx8/hlwuR2VlJeRyOYKDg3HhwgUcPHgQ\nNTU1iIiIgKenp9IvhZ2dneHp6YmIiAjU1NTg4MGDOHfuHMaMGaOFM3q+qCN/t27dwpkzZ1BTU4Pq\n6mqsXr0a2dnZGDp0qBbO6PnRUO6AJ1921P79/PTvdZmamiIkJATh4eGorq7GhQsXEB0dzRVDNEAd\n+bt//z4OHz6M6upq1NTUYOfOnUhISGhwfh5Sj4Zyd/v2bQwdOhTvvfcepk2b1mgdrbr2hEZIJBIh\nPz9fEARB0NHREX9vL5KSkoS+ffsKJiYmgkwmE0aPHi3cuXNHEARBkEqlwvHjx8WyW7ZsERwcHAQz\nMzMhKChIKCkp0VbY9F+q5m/58uWCra2tYGpqKnTq1En4xz/+ITx48ECboT/35s6dK1hYWAgymUwY\nMWKE8PvvvwuCIAhZWVmCVCoVbt26JZZduXKl0LlzZ8Hc3Fx4++23haqqKm2FTf+lav4++OADwdra\nWpBKpYKdnZ0wb948obq6WpuhP3fCw8MFiUSi8LNo0SJBEAQhPj5ecHFxEaRSqTBkyBAhKytLPO6d\nd94R3nnnHfF1Zmam4OvrK0ilUsHFxUVISEjQ+Lk8j9SRv7S0NMHd3V2QSqWCmZmZMGjQIOHUqVNa\nOZ/nSWO5c3BwECQSiaCjoyP+tzZ/n332mfDaa6+J9RQXFwtBQUGCmZmZ4OjoKGzdulUr5/O8UUf+\nCgoKBG9vb8HMzEyQSqWCt7e3sHfvXq2d0/NCWe4+/fRTYdGiRYJEIhGkUqn4Y2ZmJh6nrmtPIggN\njy2wsLDA5s2bMXLkSOjo6CAvLw+dOnVq9jcERERERERERO2ZXmM7Q0NDMWrUKOjoPBnd3dCzzRKJ\nBFVVVeqPjoiIiIiIiOgZ0OidZwBISkpCZmYmQkND8dVXXzU4+6ay5+GIiIiIiIiI/gya7DzXCg0N\nRWRkJJeuICIiIiIioueOyp1nIiIiIiIioueVyus8ExERERERET2v2HkmIiJqZ+RyOeLj47UdRpso\nKSnBb7/9pu0wiIiI6mHnmYiIqAViY2Px1ltvYfXq1RpvOyIiAl5eXhptMz8/H5cvX27zdiwsLJCU\nlITr16+3eVtERETNwc4zERFRCwQEBMDJyQnnz5/XaLtJSUmwtbWFtbW1Rtv9/vvvYWpqqpG2Zs6c\niSVLlmikLSIiIlWx80xERNRC9vb2Gm8zMjJS6fKQcrkcS5YsgbOzM3r06KH02Fu3bqF79+549dVX\n8dlnn0HVOUMFQcCtW7fQrVs3jbSnr6+PF198ESdOnFCpPBERkSboaTsAIiKi9krTC1bcuXMHenp6\nMDAwqLdPV1cXCxcuxMOHD/Gvf/0LVVVV9colJCTg/v37+Ne//oV+/fqp3O7hw4cxZMgQjbUHAKNG\njcKaNWswcODAZh1HRETUVth5JiIiUoNLly4hKioKjo6OyMrKwqhRozB48GBxf0JCAg4cOIAuXbrg\n8uXLcHZ2xq5du3D8+HGV2zh69Cj69OnT4P4LFy7A19cXUVFRyMjIgLu7u7hv9+7dsLOzg0QiQd++\nfZt1bnv27MHy5cs11h4A9OrVC6dPn272cURERG2FnWciIqJWKioqwuTJk3H69GkYGRlBEAT4+Phg\n48aNcHZ2RnV1NSZOnIiUlBR07twZ/v7+CAoKwogRI5rVTnp6eqMThSUlJSEsLAzOzs4KndnLly+j\nS5cu2L9/P4YPHw6JRKJym/fu3YORkZHSu91t0V4tHR0dPH78GHK5HLq6us0+noiISN34zDMREVEL\n1XYKo6Ki8MILL8DIyEjcPmDAAHEm7sLCQhQWFsLGxgYAYG1tjdTUVLi6uop1zZo1S6HuBQsWYPfu\n3Vi0aJG47e7du7CwsGgwnoqKChgZGcHJyQlXr14FAFRVVSE5ORl9+vRBXFwcAgICmnWOW7duxV//\n+leNtfc0qVSKkpKSFh9PRESkTuw8ExERtVJGRobYca5laGgodig7d+4MZ2dnpKenQxAEXL16FYGB\ngQCA6upqfP3119i3b594bFxcHGQyGYKCgmBkZCSu6SyXy6Gjo/yju7y8HFKpFADEO8EAEBMTg7Fj\nx6K0tBRnzpxpdmf2/Pnz+Mtf/qKx9p6mq6uLqqqqFh9PRESkTuw8ExERtZKDg0O9O6SFhYVwdHQE\n8ORO9MSJE7Fv3z6sWLECK1asgIeHB4AnM0vPmjULXbt2FY89duyYOATa1dUViYmJAACZTIby8nKl\nMSQmJoqTetV2Zs+ePQsvLy/o6enh8OHD6NmzZ7NmCE9JSVHacVZHeydOnMDBgwdx8OBB/Pbbb0rL\nlJeXw9zcXOV4iYiI2hI7z0RERC1UO9t2aGgorly5gtLSUnH7yZMnMXPmTLHstWvXMG/ePMydOxev\nvvpqo/Xm5+fDxMQEwJOhy/n5+QCAHj164Pbt20qPSU5OhpubGwDAyckJly9fxu3bt8Wh4XFxcfD3\n92+wPWV+/vlnTJo0Se3t7dmzB66urggMDERgYCDs7Oxw6NCheuUqKys1trY0ERFRU9h5JiIiaoFD\nhw7h22+/RVxcHHbt2oVdu3bhk08+wYoVK7Bw4UJ89dVX4t1lAHj06BEMDQ1hamoKe3t7TJw4EQUF\nBUrr1tXVFZ+nrqmpEbe/8sorSElJUSibmpqKGTNmYMWKFViwYAFqamrQs2dPvPzyywgKCsKlS5cQ\nHh6O7du34/r164iOjhaPvXnzJu7cuYPvv/8emZmZyM3NFfdVVVWhvLwcHTp0UFt7AJCWlgYvLy90\n7NgRFRUVkMvlsLOzg5WVFe7evSuWy8/Pb3D9aCIiIm2QCJpepJKIiOg5s3nzZhQXF4uTgt27dw+7\nd+/G8ePH8f333wMAhgwZgiNHjgAAFi1ahP79+8Pf3x87d+7ExYsXERERAUEQ4OfnJz4D3VqlpaX4\n+eefceTIEfj5+WHSpEkwNjYGAGzfvh0dO3bE8OHD1dJWrYSEBAwbNgwA4OfnBy8vLyxfvhxVVVU4\nc+YMfHx8ADy5611VVYW33npLre0TERG1FO88ExERtbHU1FR4enqKrzt06IDBgwc3+Pyyj48P0tLS\nxGMHDRoE4Mmz0yNGjMCJEyfUEteNGzdQVFQELy8vZGdnIycnR9yXkJCg9o4zANjY2CA7OxsAsG7d\nOsyfPx/Ak2W4np59fN++fZgwYYLa2yciImoprvNMRETUxmqHc589exampqaoqKjA/fv38e233wIA\nvvnmG1y7dg3Lli1DaGgohg4dioMHD2Lnzp0oLy9XmLH6vffew+zZszFw4MBWx+Xl5QUvLy8sWbIE\nixcvFrcXFhaiW7dura5fGXd3d+zatQtSqVQclp2bm4uCggJxcrLDhw8jMDBQvAtORET0LOCwbSIi\nonbm+vXrOHnyJKZMmaLtUFrs2LFjKC8vh0QigZWVFby9vQEAJSUliIqKwv/8z/9oOUIiIiJF7DwT\nERERERERNYHPPBMRERERERE1gZ1nIiIiIiIioiaw80xERERERETUBHaeiYiIiIiIiJrAzjMRERER\nERFRE9h5JiIiIiIiImoCO89ERERERERETWDnmYiIiIiIiKgJ7DwTERERERERNeH/AFnhl+UOVUa4\nAAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x70070d0>"
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": "So not much difference here then!"
}
],
"metadata": {}
}
]
}
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