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@ngcrawford
Last active December 10, 2015 20:08
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{
"metadata": {
"name": "Preliminary BulkSeg Analyses"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"mar = pylab.subplot(211)\n",
"mar.plot(sub_df['MAR.sample_count.mean'], sub_df['MAR.CAP.Gst_est'],'.k',alpha=0.5)\n",
"xlabel('Number of samples in MAR')\n",
"ylabel('Gst')\n",
"cap = pylab.subplot(212)\n",
"cap.plot(sub_df['CAP.sample_count.mean'], sub_df['MAR.CAP.Gst_est'],'.k',alpha=0.5)\n",
"xlabel('Number of samples in CAP')\n",
"ylabel('Gst')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 99,
"text": [
"<matplotlib.text.Text at 0x13f1cf190>"
]
},
{
"output_type": "display_data",
"png": 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mQ0JCAjZv3oy6ujpuDnfu3Ml9jo2Nxe7du3Hy5EmYTCbYbDa43W7odDrY7XaU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\nH4VCgfj4eJvNuxN6bjIyMlBXV4fo6Ojbylt0F+F4b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hoaMBqN5OXlkZKSwujoKIWFhQwP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S6WTr43hXg8+CvzbVOj1buVqzdd4ztvQJF1px/+M//oOmpibuu+8+Uc48deoUJpNpDOD68Y9/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\nQTFRIyIiInJQ/wMw8EXXCHXRcwAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 99
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This panel just shows the raw data of Gst vs Mean Number of Samples. Things look pretty evenly distributed although there are not very many windows with all data present for all loci."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#sub_df['CAP.sample_count.mean'], sub_df['MAR.CAP.Gst_est'],'.k',alpha=0.5)\n",
"from scipy import stats\n",
"from collections import defaultdict\n",
"bins = np.floor(df['CAP.sample_count.mean'].values)\n",
"results = dict((float(i),[]) for i in range(0,11))\n",
"\n",
"for b, value in zip(bins,df['MAR.CAP.Gst_est']):\n",
" results[b].append(value)\n",
"\n",
"results = dict((i,np.array(values)) for i, values in results.iteritems())\n",
"results = dict((i,sum(values[~np.isnan(values)])) for i, values in results.iteritems())\n",
"raw_counts = pylab.subplot(211)\n",
"raw_counts.bar(results.keys(), results.values(), align='center')\n",
"xlim(0,10)\n",
"xlabel(\"Number of samples present\")\n",
"ylabel(\"Count of windows\")\n",
"\n",
"total = sum(results.values())\n",
"normalized_counts = pylab.subplot(212)\n",
"normalized_counts.bar(results.keys(), [v/total for v in results.values()], align='center')\n",
"xlim(0,10)\n",
"ylim(0,1.0)\n",
"xlabel(\"Number of samples present\")\n",
"ylabel(\"Proportion of windows\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 162,
"text": [
"<matplotlib.text.Text at 0x153d3a4d0>"
]
},
{
"output_type": "display_data",
"png": 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366abbtLu3bs7XDQXzrR+/XqdfvrpOv300+0uBRY0NTVp06ZNGjp0qN2loBNS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\nkF8/+KGBhwAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 162
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As per Chris's request: (good idea!)\n",
"\n",
"The upper histogram shows counts the count of the 'floored' means for each possible number of samples. In other words, there were a little more than 5000 windows where the number of average number of samples within the 5 kb window were between 5 and 6.\n",
"\n",
"The lower histgram depicts the same data, but normalized vs the total number of windows observed (e.g., a pretty coarse PDF).\n",
"\n",
"I think this means that a good minimum cuttoff for a 5 kb window would be a mean of 5 or more samples - that cuttoff will include most of the windows, but still have on average pretty informative sites. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas\n",
"df = pandas.read_csv(\"/Users/ngcrawford/Desktop/anoMar/fstats/CAP_MAR.5000bp.windows.filtered.pop_counts.incomplete.txt\")\n",
"sub_df = df[df['chrm'] == '1']\n",
"\n",
"# Print first subplot = NO FILTERING\n",
"figsize(10,10)\n",
"gst = pylab.subplot(211)\n",
"gst.plot(sub_df[\"start\"], sub_df[\"MAR.CAP.Gst_est\"].values)\n",
"ylim(0,1.)\n",
"xlim(1,sub_df[\"start\"].values[-1])\n",
"ylabel('Gst: no filtering')\n",
"xlabel('Chromosome 1')\n",
"\n",
"# Print second subplot = 6+ SAMPLES\n",
"gst_filtered = pylab.subplot(212)\n",
"sub_df_filtered = sub_df[sub_df[\"CAP.sample_count.mean\"] >= 5]\n",
"sub_df_filtered = sub_df[sub_df[\"MAR.sample_count.mean\"] >= 5]\n",
"# pylab.axhline(sub_df[\"MAR.CAP.Gst_est\"].mean())\n",
"\n",
"gst_filtered.plot(sub_df_filtered[\"start\"], sub_df_filtered[\"MAR.CAP.Gst_est\"].values)\n",
"ylim(0,1.)\n",
"xlim(1,sub_df_filtered[\"start\"].values[-1])\n",
"ylabel('Gst - Both pops with 5+ samples')\n",
"xlabel('Chromosome 1')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 172,
"text": [
"<matplotlib.text.Text at 0x17f886b90>"
]
},
{
"output_type": "display_data",
"png": 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0//uyyy4FSo6Jbi/2+IO1BdhQVI9PK1Kw6KbzgLKTPa/n75f8/EsvvVSzv2fs\n2LFAfXXE7x84aCC+OWV00Ovr1xcDbS2alA8Azhl+TtjrB7efFt0+NTVV8f7PP+88oKpM9PWLLroY\nOH0i6PU3q44Bzk7Rz5f6PWr9+NJvfxujBqcEvy7x+7n00kuROShZ9PXQx6PHjAEazijeHgDGjxsX\n9HpbQT1QXabo/YKPA/6eUGLNCXkVrdhX0Yr/vTd8f0mnm4HyEv9zCX36AGfXmvPt7/iuCkXlA7pv\nTsVeT7Al4DtXfUf09WgfX5iVhWnjBmPdF8XS25/9DkNfH9C/P66++ttB29tKm1B+dmb1fv36Bb0e\nSu3nAcCUiy+WfP/HnxUB9u4bqYsuvhhrak4CnW7pzztr8uQsXD5msODrXi8wYcIEXD0l/Hzic9VV\nV6FPgg12pxsz3z6E9QK/n2gfH95RDjFa/z7ktlG6v80bS4JfF4mvEY//vKTn/DBy5EigqQ4AUNvu\nxPiLL8XoweJzmV588cXKvg+Rv3fMmDFIaKyB52wn5NDXL7nkm/h6W0+8fa8H3rgFkk3CEhMTcckl\nlwTVBCiRnJwMj8cDu90Oj8cDt9st2hSZn58Pl8uFl156CTU1NXC73bjoootkO/Jb0adnh90r6fZW\n1uRA69lpK8ze9BDaEKZPu7vZvwXrMVP/iOrWTvRJsGHYAOHzRKgtJY2oDpgXaZ/KviFW4osTjwD1\nlHYx1mKSWDMdT9Fq7LBG3+pA20ubcbrZgQe/M0Z0G7PFSDYJy87Ojnjns2fPxtKlS5GQkIA5c+b4\nn9+xYweSk5P9d5NTp071/3vLli3o7OyMywRMrcW7K3DsTLvRxSAYf/Fzuj04XCW9hp/Y6EirmLPi\nGIb274v3Zl+kaPvmji7UtaubnPKxL4rlNyLV7l11XPL1JhWDpTgS3ByOWuTa4/u5WLWrr65T+I4b\nNw4PP/ww5s+fH5RUTZs2Lag6P9C1116LG264Qc9ikQ5Cz5tCbeA7y5qRX6PtgW3VA0+tLcWNeHSd\n9gmEXP8rLTz2RTEOVimrperQecmaM23WnFE8FnGKRlmT9GCqv2wqlXzdqBsIrc8fZo8TmS9G+q+j\nEMc8vSUD0Mj/ri/BX7coX0z2y+IGVLfG31IqkTD9L02i+sLR5ek1yXIs6ZW2WDlUXxTWo6lD3XqJ\nvaXmjedSc2ISFgW35rODxg8t2t2f+fIU/p1XLb+hoax9Bjdb/wiriHXU4ylObo9Xt3Pn37aWKV7u\nKpQWtXHNPQKpAAAgAElEQVS+OJU0dOC9A+Y6d81ZcQyOOFwcXa1ojyWtf7lxnYTFU4qk5d1ab7nz\ni1+9I4AerzG1zUV1duw+3SK/oQiXwTdnbo8XjSprg2Jp1eEaLNtrvSWJ1FhzpAbL9lbJbxhjRv00\nmzpcmLFEfMSzVehx5o3rJIyMo1W7+9Ez7XF/wjaSGfpHOLs8eHZLadjzX59swivbg4f2n2l1oiuC\nK4maXO6ZL0vxpyg78JfUqxtNLkdNnOraXfj12u658PS65ro9XlRYYG3PWE9gbIbjyYxaVCzjozez\nxYhJmInEU82dVlo6u3CywXdBC/+GWKvXw6rfRW27E5tOCC8YXlgbvCj7XSuOqh4RaQSnO76P5k/z\n63D3SukRkbEiN4Lc6qOG9XS8pp1NlAZjEtYLxaKFp23YhaZuEqFugv0j2IvedMzWJ8zuNP7C3WB3\nwen2YPmBM/IbK6FBrma2OMl56ONCzFlxTH7DOGK2GDEJI118dLQGDXbrTfZnBK9XXR8eL7y6jHRq\n7exCSYO2zWikXnF9B7aeFK4ZNLt2pxu//bgwJp91x/IjqGwx14i/z/Pr0NpprfNep9tjdBEszeX2\noLDOLr+hCCZhvZBUs5VTowOyvV24iaCziwd8qP2Vrfifd48o3t7u8uCXH+aHPR9JBVZg/4hXt5cL\n7lepqpZOvJRbJr+hAbSu29OzietkQwd2nGoOes5s/VjEeOHFKZk5w7QkdD75orAe7+RVGTJ6PWfX\nKbSomJiWYk/rY2ldQT0e/KhAfkMRTMJ6IamL9c3LDuJwtfTM7NGot8euifL1neWo0v1OOfoTfVun\n8U07QJQJuNcLu8uD4xpPxhtpP7eyRodlp5ApbewQ7SMnZn1hvSU6youJNKW1CfxAqlqdeCevWtUs\n/dSjoLZd80m141m0/T9lk7DFixcreo7UC02GvCFPKD0xVbV0BnRel6bkoqZFojRgwICo9xGtg1Vt\naNeq74qOfXuNTBWk+ke8ZcCoVLvLg4Ja6QtAVUtPx/yTDcKJx+8/LUKLxZqFfISOP7l+LIu2lmnW\nN6qypRN3vidcM1vW5MCn+XWafI6WQs+dkdDiEE/p10+DvcRW6N/967WF+I1Mk/LpJodlJ3+1XJ+w\nH/zgB4qeI+P8/tMi3BdFMxLpq7KlE+sL5SeQjDbp0Xp0pJ41olL+vlW6SbPV2ZNcKS2jkevgeb3e\nGNTIaqu2XfhG7L0D1Xgp93SMSyNv+YEzaLNo0i3nd58Uho0SNto9q47j12uDE7UWR5fsDZSQpXsq\n8fj6Eq2Kpimx3D6SaXLEyCZhQgtp98bFtY0e6WeDDQ6XW7DPjdrfQyymMhDrExYdaw41f+9ANRbJ\nJBYAtBvlpUKs+xp9eKQGW0qkm9pONmrfrPbJsVrN9ymt56DcVdaCn30Q3Qg0o/qElevQxHm8ph2N\nHdomTDn7qpBXoWx90lBuj1d2UuDq1k5FtW2ODu0Hthw50468isgnD9ZLaHP/P3eUhyVmSnxZ3IAd\nZc3yG55VHDIHn9rrmdJjKVZT/rBPmEJid4YA8NyWUvxrZ4Wmn3daoHPrqSYHPo1wSY5AsZiBoM6Z\ngOJ6c9296SP6I9WaPZci8/rOCizeFXysSP39BSaqAdhV1ow/fFqkePt2pxsOlxvtAfMwPb6+RLsm\n8hjocGk/kGb7qWbN4hpJM+Rj64vhOtv/0Qtg7gfH8JzMmrZzVhzD9lPKE4XeSLIPpgYJjdfrxYLP\nirB4d+TX2k+O1SJWXXCL6zvw6XH5pnsmYRrYeKIRXyhobsoPOfGIZdrvH6jGPatiMxFiaaM+UxK4\nvTZsPNGgy76F6JLI9ILsyGz9I8xs+6lmHKw62/yp4KLyTl5V2E3TkTNtEQ0YEIyTNSuGDZdX3hp0\naNe2u1BYZ5et+VCSPEfbJyz734djNnjpK5kaabPJLW3Ggcrouki8vL0cfcZMFnxtY1ED/vplqar9\nOd2esBG6vvuC6tZO7CmXr8GUTcLq6oIzOY/Hgy+//FJFMUmtN0XWHNO6BquypRPzVse+L1nkfY2k\nvwBek6xBqlbZSFbNuZX0N4zU/20wZ18dH6mYme18oOT83ezo0nXus8BEM5ZzAh6sjKypGOhpLhZr\nkv34mDYDRT4vqMfmYnWJ6ReFDXhXYKF2NU2ZsknYP/7xj+A3JCRg586dyj+BFDtcLd6PSo8FvLsM\nWlrl65NNqrZ3e7zYpEGtWnF9B4qimFRPNzEKw/ZTTTgakgBbZf4pvXW43Fh1uMZ0F24fwTid/d3s\niWKxcTlyCXNduxPbStUdz/FMrE+YVudvr9cb1VQyRi2G8XLIGrBq/PT9o/jb1jLYNWoaL8g31yA2\n0STM6XSitbUVbrcbbW1t/v9KSkrCasdIG01c5kfQ0TPteFamz4aYE/UdmL28e7j9zrJmQy8Yh6o0\nGm0ociIVO8/7Trz7K9pQZFA/veYYztlU2dKpeo4oLUc79SaVLZ348IgGgx5MkP3Gugg3LTsgO0gl\n1JfFjbh52UHR1yOdqmPGkv0oNelqGfV2Fwpr7fhSZS2VUkfPtGHV4SgGRUV56kgUe2HDhg347LPP\n0NTUhEceecT//MCBAzFz5szoPlVnajNm3w9XaOK/QDOW7Meqn14ccbko9vJr2lGnRR8LDa7RRXV2\nTBmZKrBr4xKAwL5GUc0CL3PsPLW5FFeOHRz5/lUQ6lOj5hv2XceOVLfhohHh8RLT2OFCHxVVHn/4\ntAjnD+uPOVNHIjlRulFCbd89Z1f3H6HF/FmBlO6usqUTwwb0Rd8+kXU7btWo93Ssa37U9Alzub0o\nqLHj6c2luGvqCGT07yv7nqpW8cXruzzeqCYOrWztxPh0/ec5+6qkEcMGJCHrHOG5JN/dX43bJg9D\n/6Q+unz+pAsuCHpc3+7C8RrjWkhEk7CbbroJN910Ex577DE8+eSTsSxT1NYVqOsj8eyWUyhp6MAb\nP74Qr+8sR0VzJyaPSMUd3zwnbFs9RgtFK5az0Mt5/qtT+OWVo3TZt1YnZjlGJkXR2FfRiqYOF4b0\nCz6Z7z7djKRK5RdDvf56rROCSAgdK063xz8B7OLdPXO1bT3ZFJSEyZV+5aEapPUTPaWGOVjVhnq7\nCysP1WDRTecJJuih5VQytYPNBt1mi69Q2F/pkc9O4PmbzsWIgclRfd77B8+EnYf/tvWU4LlZjJK8\nWK+fZm27E/+7vgTflIntO3nV6N83unFy6wrqsaHI/IOh8ipaMWlYf9Ek7ONjtfjBpKFRJ2FdHq8l\nVs2Qjfpjjz0Wi3IY6nB1G0rPzk304ZFa7Drdgjf3qJs4U22oheal0frn0uLowikdRj8KnbB8tSgb\nihpwok6fam21nSb11OFyY8aS/f7RL3p8z2o1O7pQ3hx+kXxtZwVe2iY8weaij3dq1gzxyGdFqFPY\n6T6aaRrkauykLqhCifz7B87gwbWRr/2mhQaZrgi5ubkoqe8IntrBFvJ/hU42OvBxhPOmxWLKkMA/\nR+g8XFTXAYdJ16AN7RPm9YJrSYbILW1S3Zk+8JBWWumwrbQJz38V3o0l0j5hzY4ulDY6NO9LLZuE\nJSUlafqB1O0Pn56Q3Sb0YpMxoC8Gpyi/0z56ph1LVSaT3Z+rYJsYdaAQ+hiv16trrcr/+7w46HFT\nhwunQ5Kb0Cbv002Rj2gysoJofU0yVh2u0WRfLZ1uuL3dzQ17ZYZmH46if5xcTeVmgUEcUj/XM23i\nTTxi5H7+akPqVJBUyNVCCR0TYl0stKwgEBvt7PZE1ol8V4QDDb4O6e8pd47afbpn3q+Klk6sK5Su\nRXop93RcJlSBvxGt53Z8ctPJsNUiWjvdKGnoCBskpNQpHSZzVuK5LaXYUtKIlaHnyyivharrP10u\n8zR9KfX05lJ/x+D3DlRHVUUpdwFo6nAp7mAf2rQgF0sbbIiwi4Ugo5rdos3fbnv7kGYjZZSobFF/\nke7NCmrtOKmiZjDSJFTsItuqspatSePZ2wH1f9OirWXYWdaMRV+dgi9vcbjcqDmbIF599dWig1O+\nKlE/2ESPmfBD/f3rMtzxrvAalFJ2RDgpqtrv4YuQpEuuRtilIKnUYu1Ih4FdXtR2t9lX3iJ5PS1t\n7IBLpOZo/n+6Jz6O5ib0UJX41Bdiuw3tE6aUo0t4j2J/n1Kyl/QPPvig+4NcLixYsAC/+93vsG/f\nvqg+VC9er1dwlNOWkkZ/NfqyvVVo1XGNsV+szsevPlLXtKHmjqDd6cGMJfvVFksVj9eLQjNO5aCj\nLo9X8C6wrMmBDpc2fdGiqT3UorZsrY5L99S1mztRNbJnSGDy1NrphqPLg31nawoDfxKvbi/H+qIG\n/83RK9vL8dP3j4ruV2hVDaXaIuhfWaOyxrC4vgNtOq8OoPS4OHqmDcsMWJBeTrMj/IZd7cLYeRUt\nqqf9kaP0VPXoumLJCUlr21y63uz/XqZFSezvcLk9+OM6+dYooLs5Wc9rrmwSduRI953Mnj17MHny\nZDz99NNYt26dbgWKht3lwax3Dql6j8frVdyPxcfXTCj002p2dKFBZUd53x0BID/xYujsvNE40yZc\nztyTzXjwowI0dbiimpMmGlKjgISEriem1mf5dbh/TXjyfO+q43g9YEmqN/dUCl6MXttZjk/zI5u6\nJfB3JLeGHdB9d2l3ebBTxXprUg5Vt4mcZJRnjWp/87omRTrtXKsm8Aa7K7xJA+HNos0BN4tC84Q5\nRe7MA50Uqd2JpAn2HyL9CsX2H8vaajnrCurxnsK1WaOZoFbt2pEbT0TXz7Wpw4Wiug4crzFugXqh\n463d6cbOsmY4ujzYEkFNbfhHKDv2Qrf6SiA5LcjPR0unG3vLWwVvZIrq7EH9ztTcSCzdXaG677Js\nEtanT/cIhd27d2P69OkYOHAgnE5z3/Uqtf1UE/576QFV52y1CZtaa49GXlshdsIFujP/0A6Nf/qi\nWHBbp6f75Hn7u0ewdLcxd4+Rz6ofGalkM7AT8I6yZtgFDsradhc+PBJ936r1Mv1SAPgXA//f9ZFd\nLLYUN2LFwTP+uXGqVSa8RpPrmD9iUHA/1nf3V2s+qlnJKMV95a341y7hde6ibZI/Ut0WNvXK16XN\nOBFSg90Y0DVi7dFaf58m7UaNadM5VK8upmr+Sl9Ntdo1IssaHZJ9xWrbXT3LXSkQWGa5Pmi3v3vE\nf80wS3+1skYHGjtc/vOT2lrXxo4udHZ54HC5Vc2d6fvebKFPSHhAoNXqVx8VCC5fpKQCxFfTrYZs\nEnbuuefiySefRF1dHUaPHg2Pxzx3N4HanW58omCxTAD+CfL+b8NJ1Z8TzeKh0fgsv062ifBziak5\nTjd34o+fK6t+DaS2hgMA3s7rXnZJi4oDubnbzOR0U6fkqL+PFCTYLSqbyt8/qH6SwSaHC2VNDryx\nSzjB/uCQNh31ldI6xN8dPyTocc4+4WXAovH8V6dQ0dyJDpfbv6xKqFMSzYVK/ubATULnCRMaBdvZ\n5ZFciubjY7WaTZpr7MB/ZZ8e4eBR1e5dfRyLtnY3Oaf0SxHcRsmNjtC5zlcrJ/UX+0bWRjpVkdbf\nz7/3hy/j46O0m0uzowu7y1vw8rbIZ9oXI9gnzBt8TArdo2g9aMFHNgm78847cdttt2HBggUAun8o\n8+bN06Uw0Wh3uvG+wBpOQv65Q/tEKrCpQo8T1P7KVtV9BXzcHi9qI2h+AKT/Fq/XK3hSP3omvGq8\nPqAG0Yx5VVQTlQYQqt7uWdC1JwanGjs0ad76+qRx03a8mFsW8XsDmxei7dgq+hk6Zgo2G3D3ymP4\n545y/M+7h/GygqY6K8xZZBW+KYWkvlG1PSlCfy//77MTYSP7xAQ3DUd2Lgm8gSuobdesL6ocJb/K\nFQI3e1Lnr2aRmuJnNpeGPedbGqtWo36lZ9qc8svcyYZL/bEaaeuNorF2F110EQYNGgSgOwkbNUqf\nyTjVWnOkBrtPt+AHS/cjr6J7lERgPwSpH4mSWgktdLjcmvXjirRJpdnRhccibLqS0tnlkew4HOiz\ngjhb6krhMXqm1Ql3wO/QtzjvL1bnRzwUX8oXhfXYJ7LQrRyPwj/K7fGivt2Fz/KVTYost9dIalu1\nFM1Ngd3lQUunG0Uhc+MJ7dP3PdTbXT3nfYnPDrwx2PRVT58wNR2dvd7uDvX5IX2GrJgObjrR4G/F\neONsM69UN4KfvHdEMomSCvunx+uQV9mq6sL6/z4/odlI6r9vLQvqF6t22iCxa46a33rgpmrPKVKd\n9cVIXt9U/GDPtDrxWX696HGSr2CesMDUQWkXpH/kno7ouBKddKqrqwuJiT0vFxUV+aenGDVqFAYP\njs0SJFJe21mBiekpcHuVV3P6RDoMWu3d9d0fHMOowSn4283nye877HHwM0LZvR6j0gIPPj1O1lpN\ntLh0d4XsMht6XWyUdoS9a0VwknrvquP47OeXAFA2N5RaXxQ24HB1O966PUv1ewsVTsRZ2+5UNM+d\nUnKLRIdSO0pPjtR1ye3xok9C+Ba+Wk2xASFS54mShg4ck1gmRWiqhaWnIp/64KnNJ3G8xo4xg6Vn\nr5frCyU395vent1yCn0TbBgzJODvkDnAfZPzliqYWyowQYlkjVVfRQCgz7Qnf9t6SvH8bqsO1+DO\nb40Ie17N9atf3wTTDK4Inacxln7/aZH8RgHU3tOJ1oQ9++yzaG3t+VG99tpr+OSTT7BmzRp8/PHH\nKj/GfPZXis8vIkfNnWhDR1dUQ8l9xJrLZr8XXhN1y1sH8VmEI/XUaHNGVsv3WX590Mi+4zXtETXN\nrThUo1tTlpxIF3yWe5+RC4xrIbRP3IaiBtmFy9XWSh8TaO6OhlRIfvDmAcnaFFcEo4ffyatWtGJA\nYFJQ51Q+QaBeAy0CvyepxeIdUTajSV3EXB6vooQqVOBM/y6PN2YTJD8mMvhJTmjx3N7uGyyhEdG+\nvyXwe4vkdynGLfJ96Zmg6TlY6IJJF5hqaTrRI7uxsREDBw70Px48eDAeeeQRLFy4EMXFkf2wYk1o\nGHi0XBbo19HZ5YloyHLR2drEoIRP4s8NvPOTE3piDRzZ99DHhZpfWDURg75rqw6fwT939HQ+FVpI\ndltpE3ad1mY6Cilqa6SUEJu2o07HPoKy/UEQ3Fxjl0kapAZL6PGd+UgdE1LToQTOgxh4+J5u7vQ/\n9ni9QSPPntiobpCSWCL04ZFaKLkvkroIyr1dzSnY7fXiSHX49yh0Y6DVzzDw93Qy5Hu6493DivZR\n2uhQnCj6RwWqPJCkfl+Bu1q4rlhydOfi3RW48z2pSXnVXzNf3q58OpRAnxyr9X/nSr8/sWWIPF7g\nRECNqJq/oqDWLvi7EyKahLndbnR29twB3nPPPQAAu92OxkbzrOEnJbCNuajOrskEpMX1Hf6J8b4+\n2RTx3FBKSHUWP1TVFvH6b2KUDM0uqG1Hfq0dpxod/qkSlJCrAeoyeHFn1YmARmfsN3ZVyi5MXlRn\n12w9TqFBE1rLq2j1L+MkdqJfGTACU+0iEHJ3saH9syKl5icpNT2MFKljXGoRbjVrOAb+Hb7Z2Fsc\nbvxidT68Xm9EzeJi/XekRuiFDkzYX9GK5RIj6aQomSIE6P6eQpczAoC/bikNey5B4UlAagQqADwl\n0Pncp0FFM6Vb5TlxYHLPgtf7K1tl53iUq21SWtt/urlT15sRNZQ0W+YXBPcJ++uWUyisswcdJ75/\n/nptYcRl8fVflCN6/jvvvPPw0UcfweHozipHjx4Nu92O1atXY9KkSREXzCg5+6rwG40W6fWNCHx2\nyym8lKssY9d6DpeaNide2a798F0peRUt/g6xe1R2Kl8uMFHiWxHOYG13eRQ3Yfmm7cjZVyU5VcFq\nHWpN5Yid4oRGIonpVDBhZ6CSKCe1VfQZIhcp0VpkjWvCjhkwcaWZa8gDi+Zr9j/T5oTX68XWk024\n+a2DEe9bzc1L6EV/+YFqvHX2mIz1iOnWTnfYtCJKy/DLD/Ml+7WqmdtKKd81R+6Gzed4jT2iVREC\nqR3Nq2TrRonv5t5Vx/1N2Xr+HGwIL2vo4KBIb1bD+nUr+FJEO+bffffdeP/997Fw4UL06dPHv2jy\nlClTMHfu3IgKqKWXohgerwe7y4OyJvFq0KoIp5fQmpKuAk0BS2n4ah1e21GONUdrkXi2k7JTg/ni\nlh84g7mXZgIQH9Lc7OhC/77h9wpCCVV5SyfOzegPAPjzxpKgTtOBtYZC1fZmuZMDwmtVvBAfzNDu\ndAvWiL5/8AyGiCz2bndq35dDyRQfP35HuCnG4EpQTZnxbxFrAfAithP1euEN6vupZgJT8X1GLrQ7\nhZLY+ed+i0GgjwckArEazS8kT2H/6a0Bs9OLfTtK+5H5ztHR9N0Se6fQPGFa3ESdanLgwnMGqJ6f\nTjQJ69evH+6++24AQF1dHWw2G4YOHRplMbXjWwrBN2mhko7deh83f9sqvMAuoME8VBG+PfRPPtPm\nlJ3gM7Rf0rqCeqyJ4CTQ7nRjxpL9ePnW82W3/cvmUlxd0ojcUnV9n/7+dU8y/vTmUlw7MQ0AVO/H\n7KQm2RR67c09wrWMbi/w1r4qfP+8dM3KBkR3sjyhsnbOdyxF0kE7Uv85XqdoihipCaPFbjS09Let\nZbju3DTR10OjtFTkd6KHn688jp9fOjJmn6eWkua/VwNaHzYWNSheqD6SgUev7ihHZsjqDz4PrMnH\nPZdlqt5nIN+9qK85Wqu5EtXUaoY2hdcELKUXTXkOV7fhxgvk8xU1n6A2T1O6uaLuGBkZGaZKwAI5\nDRodJ0TLdR0B6Qvbc1+JJ3xA952EDcCusvDFXdWMKCxtdAh3XA7ZxQ6BUTu+NbeUtqvHW+JUqXCi\nRzlS52+1pynfxUDr6v5IR4tG4z8KV8iQo+S7+Me204rmPpJakzGS9RoB4J6VxxRv60X4CNVIHYhi\nBLkYX79TX59BJVocXRJTgWj3u1PyOwhcqaCzyyP6XUdTqsBmQLF5x07Ud+DRddoMkBOqBZI6nLVc\nLDx0ncVShUmtEmLNqQX5+f5zqh5nLbX7FK0J00J5eTlWrlwJAMjOzsbo0aNFt122bBnKysowYMAA\n3HPPPUhLE7+bi5Tel4kGe/Cd7uLAdeMUHOGhfbwCL2xer1dRp8PQteOA7juqSEXbr0DOD6PojyLm\naYmOsVrwAoLrR4YSikUgsQ68m4sb8Z1xg3H52MFISZS+TxK+6xT/pfsmgFTS50Hqjja0P43aBdTN\nNETcjCs4BFLaD0hIaAf+wG9dbr9SfU4jHeSUr2JAQc972rH2qPYDoKL9BdbZeyYsVtpkp8TGIvnR\nvWq9c3YpuZlvH8Lfbj4Pj31R7O9a4uOFV1EiqlWSL6XZ0RX1fJJCAzKAs+dvgYqFWK9X7KN2YJIq\nOTk5mDt3LubOnYvly5dLbnv33Xfj8ccfx/e+9z1s3Lgxos8zy8RyvoM7cIqMaM/zSifSDFyQNLR2\nQu776RLoMCZ6otLowqXVxK2BpEalCA0QUGvjiQa8qHBARqT+ubMc7WcvknrMOB9NzZXHG96HLtI+\ndV8UKpt1P5BLRX9EtQNIhERS2aJl1wepUZJ6apWYmsM3ClLrEdqAulNLNF9zaPOyUKtKJGvXCr3H\n7vLEZO5GMe/k9YxCrWzp9K/0YLTy5uAuBYHnbrUtS6HfutgxeCbpHMxbLT9rfiSCly9U9uvUrSbM\n4XAgMTExqEbL6XQiKUm4jdsnNTUVXV3qTzpif+6aI9qPejPixlntycbudOPPm4Ln/hFrDqls6cQ5\nqUlYIbBwc7OjC+8FJC7+i7eCAhnxPR1RcDcT2oShKiHxArVtsenEv6OsuXtxaJnyfapw+aBA0SS/\nT4b8riLh6++xNoK+hskytYOBFkY4WWagrRE0vzzyuXYrCoT6vw3S379kbFX81JVMAyE0u3+01E7N\noJXAOB+s7D6PbCpqwH99Q12rjFgTqZ6zvnu92vd51mp3UqOVPwi55gR2ScktbUI/gUFZYpSOTFS6\nDFGk1F73dEvCqqqqkJGRgZycHABAeno6KisrMX78eMn3bdu2DTfeeKPs/rsTtZ4/t7q6GkDfsO3e\n2KXNYt1tra0AuudhKS8vByCdTObm5gIYAABwuVxYlXtY9j2h9pYHVHF7vVAT3qraOigN76fb8rCv\nKVF0e6GO3w0NDf7tA//WQFp1E+pyu6H0bz8l0lm7y9XzeyksKgLQs/TJG5/vBJAius/OTgcCK43r\n6moh9d12fx+AN3OyxOvh31egdocL/1CwKLTQjbqS9eukOvqH8v09V199NQD1TY9C6tsjvyB9VdKE\nKdgGoH/U5QCA5uYW+I5tIUVlFRA6twgRGv4upUyD1TRCHag0plklUrPe2oeWrp7jK/T3e/ToMTQ2\nip+f9FBxtj/n4TNtuHXZfoSef7Zs2wEM/Ibge91ud9D5Ua22tjZI/R6FVFRU4NzxYxRt++Hek6r3\nHyj0/BmqtrYWriYPfNe7SOfty6toxcUjUiN6r5SymkbAJr2EVzQCcxG31+s/f/bvL3y+0q05MjMz\nE3V1dfjJT36CO+64A/X19cjMlB7NsXfvXowaNUrRAuHukKKPGBG+TpaWUgNWDxDr2xbYbNCQ3jOX\nWt++feEZNDyqz1dSLR64xdD0ntFvN06SHlThGDQaJe3qThjpAfv3XZxDRdoROVSXN/o6tcS+PX/f\n+ecFr+P5jfOER292nO03kJISnKC195E+MVx99dWi34nvdTmdHmV/c42OtXIdZ/t+yP09kYg2pi+X\nyCdgSmsG+qcOlHx9+PBzlO1Ixm8/iXziR62Ypydej8AETMjkyVlIS9N2NK9SLrcXLoHf6mWXXSFa\n49XpseGEyvNpoNRU9YmHkmumz0l75AkYAJy2SV9Phg0bhrwW8ZtaNfTor9mhYwLWYHfhQEvPDdvu\n0y2wjb5I8vyp261FcnIyPB4P7HY7PB4P3G63ZFNkcXExCgoKcOeddyraf2gTkhaxOqphx7zAJgGb\nDetLUw0AACAASURBVNiqQ7W9UpF0hjUTPQfenWl14m8iM//7Oi6HnmtDlyIRo6TzvplVaDS6U0yt\nDovPB1I6Y7Xc8bFPxcLVNps55wrz0XI0oRmoPTe8GuFyOKGqWzs16V+qlTVHa8K+C7WRdnZ5gyq4\nxL5bJcetVv2z1fxc536gfBSxXvYEtV51/09ujlBd63dnz56NpUuXIiEhAXPmzPE/v2PHDiQnJ2Pq\n1Kn+51544QUMHToUTzzxBMaOHeufoyyW5v9HfLV0NcuEAD3LgwBAU0dXTO5AA4ca7yzruXDILbPR\nG4iNBNsosc6gry9cYI3eKZnmo8A7txd07rxvdQ12l679BqOdMuZAVfcJVelSM063R9cbht5sv0aj\nD9ce06ZzfKvJbrCEfndqBwKUNTnw9JelstvJJUZaHtNVOt8Iaj2tVCDfeaPd6cGn+XUQmyFP1yRs\n3LhxePjhh8OenzZtWthzr7zySlSfFUnnZD0FJm1anJeVTO1VXB+7Gq9dGow608NLCvpR+aw+XAOX\nkiUENLZLYE41M4pkZJga6wsbUKTjMkrRHndi/QvFfKzRBV5PVswRPzpaa8g8dFL+d32J0UWQFTgi\nUkt6Ji6h6iIY+e2jZF6/WKhpc+Ld/dX461Th13WdoiJuKbg4BS79EyuhM90rJTXLdzzync7/pdGg\njVAPflQgWfuo9uIer3zrehJJ6W3Hi543JkboY/J5+PQm1wUg7pMwPSbUV7LAcqQjQkh/RQETTerR\nr6Owzo5DEuvi1UdxdxdLvfzcSdSr/Hu/spozpc3zPpmD9OsIHw/iPgkj/ZVZ7E5Vz2Yj3xJNYktm\nAIhoHU4j6D2TPJM8Iop3cvVATMIkqJlLqTdT0w+rt9CrqTOu6JyF5eyr0vcDLKiF5zTSWeh6kObq\nzRd7m05Ij9JmEibB6/WiRqO5ruKZUWtukbWpWUjeDEKXubGit3XqrE1EkYndFMQWtPFEg395FaLe\nhr98MgOjljEibZTruFxTPGBNmIQ3dlUaXQQiw+g9RQWREg12NqFS/GISRkRERGQAJmEytp+yxsSa\nREREZC1MwmSw0zn1VmyMJCLSF5MwIhLUxOkMiIh0xSSMiIiIyABMwoiIiIgMwCSMiIiIyABMwoiI\niIgMwCSMiIiIyABMwoiIiIgMwCSMiIiIyABMwoiIiIgMwCSMiIiIyABMwoiIiIgMwCSMiIiIyABM\nwoiIiIgMwCSMiIiIyABMwoiIiIgMwCSMiIiIyABMwoiIiIgMwCSMiIiIyABMwoiIiIgMwCSMiIiI\nyABMwoiIiIgMwCSMiIiIyABMwoiIiIgMwCSMiEStL6xHs6PL6GIQEcUlJmFEOplxXrrRRYjarrIW\n/GzFUfz+0yJ8eKQG1a2dRheJKK5dOzHN6CJQDMVtEvbNkalGF4FMZGj/vrru/6kbvhH23C+uGCX5\nnp9fOlL154walKz6PdF47PoJWHHnxZh18XCUNjrw67WFAICRA5NiWg6KL2OHpBhdBNMal8bvpjeJ\nuySsf9/uP+nKsYMBANdMGKLofffJXDCj1a+v/Fc9ZnBsL7BqXTNR2Xep1iPXjgt6PHPyMM0/Y2J6\nP8nXrxg7KKr9XzYm/P1er1fyPXdcMkLRvgenJAIALslMxUUjBqgvHIDREfy2hg3oTlyTExNw5djB\n+N13x+L92RfhvIx+yIxxMhgLw1P1TdSpR1Ifm+w2U0cNjEFJjBd6bkpJNM9leXyME8IRvfDmTtdo\nl5eX44UXXsALL7yA8vJyzbb1Ebobn5jeD49Nn4CUvgm4cdJQxWUdmNxH8bZSMgcl4WffDq/hyFBQ\nE/Od8eqTnBvOF27yOj+jv+x7v5XZc5JTkoQOOZsM+Kz86cWy71EiQf58HOQvIbVOqUnysZOL75+u\nm+D/t5KEWcigkM/on9Qn6MIeeIJRUzPnkUnmfKafK96McXlAkjj7knMAABPSUrD2Z1NEf0N/u/m8\nsOf6JNjw+++Nw/cU3twAsbuz9yWNkUiwAf++4yIAkcffCjIHmeMiF3jIpyQKn6uFapf1IncOWnTT\neVgy68Kob9aEzP7WOVG9/66pym7mlPjRRcE3wOcpuI6o9cwPhOM6cmASxg5JEaztD72mfmOo+E21\nklp6vWryl/9kMq4YO8h/Pb3zW92x+WjOFNH36Hq2ycnJwdy5czF37lwsX75cs219rv1G+EXHFnIw\nXSPQvj41U/wO6+IRkTVj+moaZl0sfEDdIJMQfnf8EAxQkEyEfuYvrxyt6j2BN6Be9Fzcr1fUfyn4\nyx2ckoiF141X9flK3Hxhhv/fQjWZI1KDD6D7rhwlW9N16WjlJ89nf3Cu4PPXn5uG9P6JYc8Hljfw\nDj+pT4L/wq70M4T4fhdJfRJgC/mB/z0gURKrnZp3RSbGDUnxl3PMkBTcNnkYbpg0FP369sHD3+up\niRwzOBm/++5YAMCwAcInqgnp/TD+7PetJHm/45vnYIJMIpas8u5/TsCF56ffCr8IjRNo7lKSrAPA\nzy/N9P973hWZElt2GzMk/Ht/+r+DLzRXCNSUBlp/77cUlU2MVAIeSO4cE3oR1st156YjrV/3sfTB\nnRdhgszxq8ZfAy7ycwVuiKUI3UADwJSRqZo2oV4XcO1KVHsXGoHzMpR9v0LXS0A6iRDiq8UUuqER\nqyB46YfnY87UkVh2exae+cE38O87JvtfuzPkGF9wzTgsmXVhd5knDMGy7Cycc/a68MOs2PyGQ101\nfjAyBiRhcHLPNWJwSh/ZmzrdkjCHw4HExESkpaUhLa07sE6nM+ptAwn9dAMrDbwArg65iPcX+UKS\nExMwZkgy5ny7J9gLrhknuG2ogcl98OB3wpOhvmcPrv59E3D7lHNwSaZ4gvfH68Yrbjr1kaogSRNI\nFgCEXcTVEHqrwkoaxYan9kXfBJv/gOojcIJqc7rDyiDUHOiz/t5vySaZgX/GBcOFm/wWXDse788O\nr/3zJQS/vmoMPrxL/GT1m6vGIHvKcLw6cxLGqqgd+vvN5+Gt27Pwlxu+EdbX8SIFNw3fm5CGH1yQ\nEXTyG56ahPR+fZGbmxu2fXKiDddOTBP87iNxfkZ//OvHF+Kx6ROCnr81KwO3BCSwPlIXu7nfHom/\n33wefjq152J5m0DiIPSzVNLM842h/fy/8xvOTw+rCUjrl+ivSRRzw/npYUl/YHnuvTw4seuroGlO\nTuAeJO/yQ74YqRtSoRsOrSQnJviT4gSbDcMEmoIjPbUEJvRZ56hrvtciFkoE1oRPGhZcRrVlVuLe\ny4JvltQe2v3Pxkooifcdr76bN6Dn99i/r/KKhSH9+uL8Yd3H27dHDcLwkJvtH2b1nCsGJPXxf+7s\nb43AsNS++MsNEwEAk4aFJ3lqKwteuCW4FUBJBcmI1PCbMd/1Ueq3bPPKdVyJ0MmTJ7F582YkJnYf\nyC6XC9dffz3Gjx8f1bYAsGnTJj2KTERERKSL6dOnhz2n261OZmYm6urqMH/+fHi9Xrz44ovIzBSu\n2lezLSD8hxARERFZiW5JWHJyMjweD+x2OzweD9xuN5KShKvJ1WxLREREFA90a44EgFOnTmHVqlVI\nSEhAdnY2Ro/u7je1Y8cOJCcnY+rUqbLbEhEREcUjXZMwIiIiIhIWvxPiEBEREZmYfmOQKe6Vl5dj\n5cqVACDbhPzqq6+isrISSUlJuOaaa3DttdfGqJS92/Hjx/H2228jKysLd911l+S2auJJ2lITJx5L\nxli2bBnKysowYMAA3HPPPf7plITwWDKOmjiZ4VhiEkYRy8nJwQMPPAAAWLx4MRYsWCC6rc1mw/z5\n85GRET4vFOnH5XLhtttuQ0FBgey2auJJ2lITJx5Lxrj77rsBALt378bGjRuRnZ0tui2PJeOoiZMZ\njiU2R1JEIplgl90PY2/KlClITZWf0DXSCZNJG0rj5MNjyTipqano6uoSfZ3HkjnIxcnH6GOJNWEU\nkaqqKmRkZCAnJwcAkJ6ejsrKStEJdvv164eXXnoJY8aMwY9//GPexZuM2niScXgsGWvbtm248cYb\nRV/nsWQOcnECzHEsMQmjiKidYNdXRXzkyBGsWbMGv/jFL2JVVFJAbTzJODyWjLN3716MGjUKo0aJ\nr5nKY8l4SuIEmONYYnMkRSRwgt329nbFE+wmJycjOVl4oWnSh5Lq9kjjSdpR2yzCYym2iouLUVBQ\nIFu7wmPJWErjFMjIY4nzhFHE1EzG+69//Qs1NTVIT0/HnXfeiSFD1C1WTpH56KOPcODAATQ1NSEr\nKwvz5s0DwAmTzUZNnHgsGePBBx/E0KFDkZCQgLFjx/prUXgsmYuaOJnhWGISRkRERGQANkcSERER\nGYBJGBEREZEBODqSiIiISISaFS327NmDdevWoW/fvpg1axbOPfdcye1ZE0ZEREQkwreihRJr1qzB\no48+ivvvv9+/dJUU1oQRka7sdjuWLVuGEydOICEhAcOHD8eCBQtgs9mwcuVKpKSk4JZbbjG6mKZV\nU1OD1atXY+vWrVi8eLGqmfWJKHpTpkzBsWPHgp7Lz8/HJ598gq6uLtxyyy246KKLAAATJkxAfn4+\nmpqaZGvBACZhRKSzFStWYPjw4bj33nuRnJyMpqYm2Gw2o4tlGfn5+fj2t7+NI0eOGF0UIjpr9erV\n+O1vf4ukpCQsWrTIn4RdcsklWLt2LVwuF26//XbZ/TAJIyJdHTlyBE8//bR/MsTQuXja2tqwatUq\n5OXl4cILLwzqc/Hqq69i3LhxOHz4MBoaGjBz5kxcddVVAICSkhJ8/vnnqKqqQlZWFm688UYMGTIE\nR48exZo1a9C3b18kJibiwgsvxObNm/HII49g2LBhcLlc2LBhA/bs2YPk5GRMnz4dl112mf8zt27d\niq+//hpOpxMDBgwIWnw50s/0er3YuHEjdu/ejcTERHz/+98Pmq9Iyve+9z0A8C+DQ0TGcjgcKCkp\nwaJFiwAALS0taGxsREJCAtavX4+FCxfC4/HgiSeewOOPP46EBPGeX0zCiEg3dXV16NOnj+Rs1EeO\nHMEvf/lL/OhHP8L999+P2267LajJbd++fViwYAH69esX9L5XXnkFv/3tbzF27FisW7cOK1aswH33\n3Qeguwnvueeew7x58/D9738fF1xwAY4dO4ZrrrkG27Ztw6lTp7Bw4UK0trbi6aefxsSJEzF06FA4\nHA68++67ePnllwVnOY/0M48dO4aSkhL88Y9/RGdnJ5544glMmTIFiYk8BRNZQeCUqikpKf5JlQcO\nHOh/vqWlJWg7JdOw8gxARLqx2WyyJ6Jp06ZhzJgxAICRI0eipqbGn4TZbDbccMMNYQnYiRMnMHTo\nUIwdOxYAcP311+M3v/kN3G43AGDUqFFISUnBwIEDMWHCBBQUFKClpQVA98zZs2bNQmJiItLS0jBt\n2jRs374dt9xyC1JSUjBlyhQ888wzuOKKK/Cd73wHgwYNivozt2/fjuLiYvz5z38GAHR1daGwsBBZ\nWVnRfcFEpLvAFS06Ojowb948/OhHP8Jbb72FlpYWnHPOObj33nsxaNAgXHnllVi0aBFsNhtuvvlm\nyVowgEkYEelo6NCh8Hq9sNvt6N+/v+A2gUma0r5ioSc2r9cLm80m+X7fawkJCWGJYeD+fvWrX6Gp\nqQm5ublYuHAhHnvsMQwfPjyiz/TxNXvecMMNstsSkbnMnDkTM2fODHpuwoQJ+PWvfx227fXXX4/r\nr79e8b45RQUR6eqb3/wm1qxZA4fDAa/Xi1OnTkW9z4kTJ6K+vh6lpaXwer3YsGEDLrnkEsm7Tl/i\nNW3aNGzcuBFOpxMNDQ3Yvn07pk2b5t+uq6sLQ4YMwU033YS0tDS0tbVF/Jk+1157LTZt2oS6ujoA\ngMfjiejv5ipzRPGFNWFEpKtZs2bhrbfewqOPPorU1FSMHz8eP/nJT/w1Y3I1SWKvP/jgg/jPf/6D\nqqoqTJ48GdnZ2WHbC/172rRpaGtr8w8WuOOOO5Ceng6gO8l59tln4XQ6kZCQgKlTp2LixIlRf+bY\nsWNx2223YenSpbDb7UhMTMQf/vAHpKSkyHx7wKpVq7Bv3z40NTXhySefRFZWFubOnSv7PiIyPy7g\nTURERGQANkcSERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERER\nGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQR\nERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEB\nmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBER\nEZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJ\nGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERER\nGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQR\nERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEB\nmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBER\nEZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJ\nGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGYBJGBEREZEBmIQRERERGSBRrx0fP34cb7/9NrKy\nsnDXXXdJblteXo6VK1cCALKzszF69Gi9ikVERERkCrrVhLlcLtx2222Kts3JycHcuXMxd+5cLF++\nXK8iEREREZmGbknYlClTkJqaKrudw+FAYmIi0tLSkJaWBgBwOp16FYuIiIjIFHRrjlSqqqoKGRkZ\nyMnJAQCkp6ejsrIS48ePN7ZgRERERDpSlYTV1NSgra0NEydO1KwAmZmZqKurw/z58+H1evHiiy8i\nMzNT8j2bNm3S7POJiIiI9DZ9+vSw52STsOeeew4LFixAS0sLnnzySaSlpWHq1KmYOXOm7Ad6vV7Z\nbZKTk+HxeGC32+HxeOB2u5GUlCT7vqlTp8puQ0RERGS0vLw8wedl+4S1t7cDALZv344bbrgBTzzx\nBA4ePCj7gR999BFWrlyJffv24Y033vA/v2PHjrDCzJ49G0uXLkVOTg7mzJkju28yv9zcXKOLQAow\nTtbAOFkD42R+ZouRbE1YUlISnE4ndu3ahYceegg2mw0ej0d2xzNnzhSsLZs2bVrYc+PGjcPDD/9/\n9s48PIoq68O/7iwdsgBZ2BL2RSRBQFAURWFEEATmU0dcRwZGdNyY0VFhlEFFRx1mGEEHtxHFiBsi\nIgYQ2VQIO4QthABJyL6Rfen03t8fSXe6O7V2V3VXdc77PPCkq6urTtWpe+vcc84991mBIhMEQRAE\nQagfXk/YTTfdhIULFyIhIQHdu3eHxWIRFC4kOjcTJ04MtAiEAEhP6oD0pA5IT8pHaTri9YTdfPPN\nGD9+PCIiIlp/EBqKF198UXbBCIIgCIIgghlBdcIcBpgDjUYjizBE8KC0uDvBDOlJHZCe1AHpSfko\nTUeCjDCLxYKsrCznZ4PBIJtABEEQBEEQnQFeIywjIwNLly7F2rVrAQA2mw3//ve/ZReMUDdKi7sT\nzJCe1AHpSR2QnpSP0nTEa4Tt3LkTL7/8snMJIq1WC4vFIrtgBEEQBEEQwQyvEWaxWKDT6Zyfq6qq\nEBkZKatQhPpRWtydYIb0pA5IT+qA9KR8lKYj3tmR48ePx//+9z80Nzfjp59+wu7du3HnnXf6QzaC\nIAiCIIigRWPnWVvIbrcjKysLBw4cgE6nw+TJk9G/f39/ycfI7t27adkigiAIgiBUQUZGhndrR2o0\nGqSkpCAlJUUWwQiCIAiCIDojgkpUEIRYlBZ3J5ghPakD0pM6ID0pH6XpyCsjbOfOnVLLQRAEQRAE\n0anwygjbt2+f1HIQQYbSarEQzJCe1AHpSR2QnpSP0nTEmhM2d+5c1h+ZTCZZhCEIgiAIgugssBph\nAwcOxKuvvupPWYggIj09XXEjDqIjpCd1QHpSB6Qn5aM0HbGGI6+99lp/ykEQBEEQBNGp4K0TpkSo\nThhBEARBEGqBrU6Y4MR8m80mqUAEQRAEQRCdGV4jrLS0FP/5z3/w2GOP4cknn8R7772Hmpoaf8hG\nqBil1WIhmCE9qQPSkzogPSkfpemI1wj7+uuvcc0112D16tV46623MHToUKxfv94fshEEQRAEQQQt\nvEZYRUUFJk2ahPDwcOh0OkybNg3FxcX+kI1QMUqafUKwQ3pSB6QndUB6Uj5K0xGvETZu3Djs2LHD\n+TkjIwNjxoyRVSiCIAiCIIhgh3cB77S0NFgsFnz++ecAAKPRCJ1Oh7S0NGg0GqSmpsouJKE+lFaL\nhWCG9KQOSE/qgPSkfJSmI14jbN26df6QgyAIgiAIolNBdcIIgiAIgiBkhK1OGK8nbP369di3bx8a\nGhqc2ygMSRAEQRAE4Ru8RlhWVhZeffVVxMXF+UMeIkhQWtydYIb0pA5IT+qA9KR8lKYjXiNs2rRp\nePvttzFw4EA4IpcajQbz58+XXTiCIAiCIIhghdcI27hxIyZNmoRu3br5Qx4iSFDSSINgh/SkDkhP\n6oD0pHyUpiNeI2zcuHGIjo5G//79/SEPQRAEQRBEp4C3WOvFixeRnp6OdevWuf0jCC6Utj4XwQzp\nSR2QntQB6Un5KE1HvJ6wV155xQ9iEARBEARBdC4E1QkzmUwoKSlxJubX1dUFtE4X1QkjCIIgCEIt\neF0nbNu2bdi0aRPCw8PRtWtXXL58GSkpKWQEEQRBEARB+ABvTtiePXvw9ttvY/bs2XjooYfw0ksv\nITo62h+yESpGaXF3ghnSkzogPakD0pPyUZqOeI2wfv36ITIyEj169EBxcTH69++P4uJif8hGEARB\nEAQRtPCGIxMSEtDY2IgRI0ZgyZIlKCkpgU6n84dshIpRWi0WghnSkzogPakD0pPyUZqOeI2wu+66\nC126dAEAPP3007h48SLuvfdeQQcvLi7Ghg0bAABz5sxB3759Wfc9evQotm/fjrCwMNx9990YOnSo\noHMQBEEQBEGoEd5wpMMAA4ABAwbg1ltvRWRkpKCDp6amYt68eZg3bx6+/PJLzn03bdqEF154AY8/\n/rjTcCPUi9Li7gQzpCd1QHpSB6Qn5aM0HfF6wrzFYDAgNDQUsbGxzm0mkwnh4eGM+w8aNAjZ2dmo\nq6sjLxhBEARBEEEPryfsyJEjzr/Xrl2L5cuXo7S0lPfAZWVlSEhIQGpqKlJTUxEXF8f5uzFjxmDz\n5s3YtWsXUlJSeI/vas2mp6fTZ4V9dkUJ8tBn5s8TJ05UlDz0mdqTmj9Te1L+Z8e2QJ7fFd5irUuX\nLsVrr72Gs2fPIi0tDTNmzMDOnTvx3HPPcf0MRqMRq1atwjPPPAO73e78m8kTVl9fj9WrV2PJkiWw\n2WxYtmwZXn75ZWi1zDYiFWslCIIgCEItsBVr5fWEhYaGAgAOHz6M3/72txg9ejQaGxt5T6jT6WCz\n2aDX69Hc3Ayr1coaitRoNHC1BQUU8ScUDpflTygH0pM6ID2pA9KT8lGajkL5dujWrRs2btyIs2fP\nYt68eQCEG0kPPPAAPv74Y2i1WsydO9e5/eDBg9DpdE5vVteuXXH99ddjxYoV0Gg0mDVrFqsXjCAI\ngiAIIhjgDUc2Nzdj69atGDNmDK644gpYrVYcPnwYN9xwg79k7ACFIwmCIAiCUAterx0ZFRWFe+65\nx/k5JCQkoAYYQRAEQRBEMEAxP0IWlBZ3J5ghPakD0pM6ID0pH6XpiIwwgiAIgiCIAMCbE6ZEKCeM\nIAiCIAi14HWJCoIgCIIgCEJ6yAgjZEFpcXeCGdKTOiA9qQPSk/JRmo7ICCMIgiACyoGCOvzvcEmg\nxSAIv0NGGCELEydODLQIhABIT+og2PW08cxlfHumMtBi+Eyw6ykYUJqOyAgjCIIgCIIIAIKNsLff\nfltOOYggQ2lxd4IZ0pM6ID2pA9KT8lGajgQbYXV1dXLKQRAEQRAE0angXbZow4YNAIDKykrn33Pm\nzJFXKkL1KC3uTjBDelIHpCd1QHpSPkrTEa8RlpKSArvdjqNHjyIlJcUfMhEEQRAEQQQ9vOHI5ORk\npKSkICoqCsnJyUhOTvaHXITKUVrcnWCG9KQOSE/qgPSkfJSmI8E5YeQFIwiCIAiCkA7BRtjdd98t\npxxEkKG0uDvBDOlJHQS7njSaQEsgDcGup2BAaToSVSfMbDbLJQdBEARBEESngtUI++ijj5x/V1ZW\n4h//+AeeeuoprFq1ClVVVX4RjlAvSou7E8yQntQB6UkdkJ6Uj9J0xGqEFRUVOf/+6aefcPvtt+PD\nDz/E1KlT8cMPP/hFOIIgCIIgiGBFUDgyJycHY8eOBdCaoF9YWCirUIT6UVrcnWCG9KQOSE/qgPSk\nfJSmI9Y6Ybm5uXjyyScBAC0tLbDb7dBoNLDb7bBYLH4TkCAIgiAIIhhhNcK++OILxu12ux3z5s2T\nSx4iSEhPT1fciIPoCOlJHZCe1AHpSfkoTUeiZkcCgFarxdChQ+WQhSAIgiAIotMg2ggjCCEoaaRB\nsEN6UgekJ3VAelI+StMRGWEEQRBEQAmSWq0EIRoywghZUFotFoIZ0pM6ID2pA9KT8lGajsgIIwiC\nIAiCCABkhBGyoLS4O8EM6UkdkJ7UAelJ+ShNR2SEEQRBEARBBAAywghZUFrcnWCG9KQOSE/qyziY\n7wAAIABJREFUgPSkfJSmIzLCVMDHR0pQ0WgKtBgEQRAEQUgIa8V8B/n5+fj1119RXl7utn3x4sWy\nCUW4c6SoAb8ZGhdoMUShtLg7wUww6el4SQMO5Ndj4Y39Ai2K5ASTnoIZ0pPyUZqOeI2wDz/8EDfd\ndBOuueYa5zaNhqq6EAShLAxmG6r15kCLQRAEIRjecGTv3r0xbdo0pKSkOP8lJyf7QzZCxSgt7k4w\nQ3pSB6QndUB6Uj5K0xGvETZlyhRs377dH7IQBEF4xbNbLsJosQVaDIIgCFGwhiMfeughZ9jRZDLh\nm2++cX6n0WiQmpoqv3QEAMAeaAG8QGlxd4KZYNHTmfIm3DCgW6DFkI1g0VOwQ3pSPkrTEasRtm7d\nOn/KQfBAWXgEQRAEEVzIWqKiuLgYK1euxMqVK1FcXMy5b319PV599VUsWbIEX3zxhZxiEX5AaXF3\nghnSkzpg0tPpskasyygLgDQEG9SelI/SdMRrhFVVVbl9ttls+PnnnwUdPDU1FfPmzcO8efPw5Zdf\ncu67ceNG3HLLLXj99dfx4IMPCjo+QRBEZ+Wb05VYl1HOvyNBSMD5y83Yml3FvyMhCl4j7J133nH/\ngVaLQ4cO8R7YYDAgNDQUsbGxiI2NBdCaW8ZGQUGB4mK1SoFywgi5ID2pA9KTOghmPa09Woa304sC\nLYbPKE1HrDlhJpMJRqMRVqsVTU1Nzu2VlZUdvGNMlJWVISEhwZnAHxcXh9LSUgwcOLDDvnq9Hg0N\nDXjvvffQ3NyM6dOn46qrruI8fnp6uvNmOtyLwfpZ36zHiRMZGDTlRkXIQ5/ps78/ryuMwKQRffHA\n1b1Z9o+CAyXI64/PQB9FyePL5/r6CAAhipGHPjM9b70VJY/aPkdGRoIJjd1uZ3S0bN26Fdu2bUNd\nXR26d+/u3B4TE4OZM2fipptuYjygA6PRiFWrVuGZZ56B3W53/h0eHs64/5tvvom//OUv0Gq1ePPN\nN/Hyyy9Dq2V21O3evRtjx47lPH8w8cjGc1jym4EYGNcl0KIIJj293UgmlIta9DRtzQkAwI4FV7N+\n/6frknCmvAmvTB3sT9H8ApOe/v5TLo4UNbDeEzWxaNtFnCxtUv21qKU9ecOzWy7iTDnpyFsyMjIw\nZcqUDttD2X4wc+ZMzJw5E0uXLsVrr70m+oQ6nQ42mw16vR42mw1Wq5XVAAOA+Ph41NbWIjExESEh\nIaLPRxBSYrbaEBZCS6sSBEEAgMlKdfjkgNUIc7B06VKvD/7AAw/g448/hlarxdy5c53bDx48CJ1O\n5+bNeuCBB/Ddd9/h0qVL+M1vfsPqBSPUgdpHgzPXnsLrtw3Btf26BloUWVG7njoLpCd1QHpSJg0G\nC8xWO+KjwhSnI14jjMt7xceAAQPw7LPPdtg+YcKEDtuio6PdDDXCBTVm5gcBlU3sE0kI9WG02KAL\npcEdQXQ2Fv+Yg9zqFkWGUqlHUgsqq9bansxJKJnOoqdLNS2Y/empQIvhNZ1FT2qH9KRM6loszr+V\npiMywgiCCHrqDRb+nQifKKw1wGojtz1BiIE1HPnNN9/gnnvuwfLlyxm/X7x4sWxCEepHaXF3ghnS\nkzpQg54WbDyHRZMG4NZhcYEWJWCoQU+dHaXpiNUIcwh6+fJl/PGPf4RrJQvHwt6Ef6CxJUHwQ91S\n4DFavJtBp1FbvgVBSARrODIxMRFAa4Gx5ORkpKSkOP8lJyf7TUCiFbV1UUqLuxPMBJOemCseBgfB\npKdghvSkfJSmI96csL///e/+kIMgCIIgCKJTwWuE+VKigui8KC3uTjBDelIHpCd1QHpSPkrTEW+d\nsA8++ACJiYno3bs3+vTpg969eyMsLMwfshEEQRAEQQQtvJ6wcePGITw8HBcvXsR3332HBQsWYOHC\nhf6QjWjDrsLUfKXF3QlmgkFPP2RdDrQIshMMeuoMkJ6Uj9J0xOsJu/baa2E2m7Fz505kZ2dj+vTp\nmDp1qj9kI1yg2UMEwczFKj0Amh1JEIT64DXCAKCyshKbNm3CggULMH78eCpRQfCitLg7wUxn0ZPa\nZ052Fj2pHdKT8lGajgRVzE9KSsLy5cuRl5eHv/3tb9i6davcchEEQRCdBBrWE50VXiPs3XffxbJl\ny/D666/j1KlTSEhIQF1dnT9kI1SM0uLuBDOkJ3VAevKORqMFzSar385HelI+StMRbzhy0qRJ6NOn\nD+Li4igMGShUHkohCEJ61B5i9QffnK5EVJgW943pHWhRCIIRXk/YyJEjER8fTwZYoFHZ7Vda3J1g\npjPr6e30QhjM/vOS+EJn1pOaID0pH6XpSFBOGEEQhJphKvOyNbsahfVG0ccqqTdIIZLP0LiYINQP\nGWGELCgt7k4wE0x68pdNMn/DOeTXtPjpbK0Ek56CGdKT8lGajsgIUwGU+kEQysJko1ZJEITvkBGm\nEtQWeVBa3J1ghvSkDkhP8jBtzQmYLDbJjkd6Uj5K0xEZYQRBBAXkmyK8wUJeTUIGsiqa8V1mJe9+\nZIQRsqC0uDvBTGfRk9SvWX97poNeT2pz9bMQ9HpSCEaLDQW13uVl+ktHl5tNyKpo5t2PjLAAsmpf\nIZ7fetEv56rWm7E7p8Yv5yIIIniw2e2qKeVBdA6+OlmORzZmB1oMSRBlhFVWViIvL08uWTodhwrr\ncaqsiXc/KYoyVjaZsPnsZd8PJBClxd0JZuTSk91uR12LWZZjs8HlTFG7oyWQ7WnjmUr8NvV0wM6v\nJqjf8w8GH/L4lKYjXiPsX//6FwCgoaEBr732Gj799FN8//33sgtGuEM1gQg1cbioAfd8kRloMQgJ\nKGs0BVoE76FlBQiFw2uENTe3xjQPHDiA2267DcuWLcOpU6dkF4xQN0rOjShtMOKez88EWgxFIJee\n6g0WyY5lpxcpo57otgiEZwQr5QBXyf1eZ8ZVxUrTEa8RFh4eDpPJhMOHD2PixInQaDSw2aSb0qsG\nvjldgaI6ZVTJJnznUk0L6iQ0Egh5mfdNlqD9uGwSslcIglAivEbYTTfdhIULFyIhIQHdu3eHxWJB\neHi4P2RTDGuOlOKHLP/lUwUDSou7E8xIoafsymYYJay15InQcFhJvREHCuplk8MVf2cHMOmJUhSU\nB/V7ykdpOgrl2+Hmm2/G+PHjERER0fqD0FC8+OKLsgtGtEOjeELJ/PmHC1hwbSLuGd0roHKUNIhf\nB5KQn4ySBozuE4MQLVmNBOGJoNmRDgPMgYaGYH5HyjtuttqQUdIg4RE7orS4O8GMVHpSQsHLuC68\nY0rVoub29Lcfc3GmnHsWeLC8UdSsp86C0nQkqNcqLCzEqVOnEBERgTFjxqBHjx5yy0XIyN5LdVj+\nSwF2LLg60KIQhGQMS4hEi4xhUcJ7aBIBQTDD6wnbvn073n33XRgMBtTU1OCf//yn4ixJQhz+6BCV\nFncnmOk0elK5EdBp9KRySE/KR2k64vWE/fzzz3jppZcQFRUFAJgxYwbefPNNxV1IcKPyNwhBKBVq\nWoriZGkjruodTfljElHXYsa/fy3E69OHBFoUggVeT1hUVBSamtrj+ZGRkejatausQhFMqKtTIm+p\nOiA9eYe/02I7i54WbcvBaQGriCgVNj0ZLTaYrP4PlV+oasHRYnnzf9WG0toSrycsISEBq1evxnXX\nXQe73Y5jx44hMTERaWlp0Gg0mDVrlj/kDDg0YCYIojOSW6336/lsQdjbrj1Wih5R4fjdVT0DLQqh\nMHiNsB49eqBHjx5oaWldsXzkyJEAAIOBipeqFX+M4ilcrQ6CQU+lAkpTqP21zqQnvtzOyiYT4iPD\nBIX2LlzW40x5E6OR0GBQ7+Ld/tZ7MLSnYMdfOhL67PEaYXPmzPFRFEJp0EwlQul8eqwUJQ1GLLll\nEO++JmsgHmjlpwf8/uuzePS6RNx9FX/9tsvNJlYjLBB8l1mJuhYL/nhtos/H4tOU8jVJqAmLzY4m\nY+uKLEKeLUF1wgAgLy8P+fn5ooQpLi7GypUrsXLlShQXF/Pubzab8cQTT2D79u2izhPsqNFoUlrc\nnWCGSU+51Xr865d8/wvjwk8XavBrXl1AZeDGv42SSU9CPNqNRnV4sTyvxWKzw6qA2nNioX5P+cit\no0s1LXhxe67g/Xk9Yfn5+fjvf/+L2NhYAEBtbS0WLlyIgQMH8h48NTUVTzzxBADgo48+wqJFizj3\n37lzJwYPHtxpisGK6WI6yS0hFMDeS3XYlVOLRZMHBloUgiCIoIbXCNu6dSuefPJJDB48GACQk5Pj\n3MaFwWBAaGio03gDAJPJxLrupNFoxOnTp3H99df7nG+WW92CiFANkrpF8O/cSXD1plFOmDDUNw4X\nTzDoSW8KhLfHv6OiYNBTZ0BpeqKxe0eUpiPecGRZWZnTAAOAoUOHorS0lPfAZWVlSEhIQGpqKlJT\nUxEXF8f5ux9//BHTp08XKDY3Oy9W41ChfNNy9SYrpq05Idvx5YK8aUQwUlQvIDG/M1jUSoD6GIIQ\nBa8RNmLECOzevRtWqxUWiwU7d+5EcnIy74ETExNRVVWF+++/H/fddx+qq6uRmMicZKnX65GdnY0x\nY8YIFtw1rpuenu72uaSkFJcu5bF+L/YzAJSVljn/3rP/UAdZfDk+32eDwYBjx475dLxTp085P58/\nf152+d9//31Zj+/L53PnzvFeP9/3wfLZ8bfr90VFRaKuHwAKCgrcvr944aJP8plM7IYV0/n55D17\n9qxP8nie78SJE17/XontybVNeH7vmBnv7fEBIDPzDOf+tbW1zs9nMzORfylfsuvLz8/n/P7gwYPO\nzwaLTfL2lJ6ejtKSUq+OJ8Vnx7ZAnV+Oz/lF4u6n0aU/ef/992WV7+TJk261Vfn6K43dzj1GrKmp\nwddff43MzExoNBqMHDkS9913n1uYkY0333wTjz/+OGw2Gz744AO8+OKLjPtlZGRg69at6Nq1Kyor\nK2G1WvHUU0+hb9++jPvv3r0bY8eOZT3vB4eKJa3JMm3NCfw2OQFP3dAPAFDRaMJD68/6vPbivV+c\nQW2Lhfc4c9efxT9nDEViV53X58qqaMaHh4vx9m+HY3dOjexrR6anpyvO7etgf34dlu26xHn909ac\nwJ9v7IdZIxL8KJn/YdLT2mOl+OpkheDnY9qaE5g3rg8euLq3c9tPF6rxn72FXj9j93+ZiWq9GTsW\nXO3mdXY9nqPruu3jkwCAft11KKozMp7zaFEDlvyU6/bdtDUnsPr/huOKHpGiZJu25gQ+uOtKDI7r\nIup3vsCkp7//lIsjRQ2s93jamhO4f0wvzL+Gf4bh/vw67LxYg1emDu7w3fxvslDSwHxfPc/3l4n9\nMPPKhA7bl88YiquTYlh/+8KPOThe0ggAeHPGEORWt6C+xYJHrkvilZ2LNUdKEKMLxb2jmWeITltz\nAj/MG42IUC2aTVbc+dlpn/pFtn5P6neSUJiee29ZuPk8zl/WK2LNYUef4ClLbrUedQYLxiW5F5R3\n7U/kfjddrNJj5b5C3DO6F/ZfqsOSKa0zvDMyMjBlypQO+/PmhMXFxeGJJ56AxdI65TI0lPcnTh54\n4AF8/PHH0Gq1mDt3rnP7wYMHodPpnIbU2LFjnX//8ssvMBqNrAZYZ0VtXn6lGmCEO0rS0/78OoSF\naDC+XzdBz3vauSoU1LbnjxbV8Ycl1YqS9BR0tBnzUlS0Jz0FlrMVzSioNXQwwlxRmo4EW1RarRZa\nreCKFgCAAQMG4Nlnn+2wfcKECay/mTx5sqhzEERnoFpvxtcny/FkmzdWTVxuNiEmPAQRYSGc+12o\n0kMXosX4ft38JJn3UI6ZOEoajJyeMFfUNuAkCF/gtapKS0vxn//8B4899hiefPJJvPfee6ipqfGH\nbISKYYqBf3y0FNvPVwdAGvVzrLgBm7OqJD8uV66CGLgmffz71wKcq/Tv0jfBhlR6ChTv7C/i/D5Y\nJg0pTU/Bcl+lRGk64jXCvv76a1xzzTVYvXo13nrrLQwdOhTr16/3h2yKx1/FBINl1L3+VAW+PlUR\naDEIwmeU8HILln5BTgTdIiUo0w8cKqgHTwo4EQB4jbCKigpMmjQJ4eHh0Ol0mDZtmqDq950Bmx8f\naLX1E+xxd+oElITS8iMIZgKpJ6lbrMFsRbMfa7sJ7Tql6GIdejpcWI+/pl2Q4IjS8dLOPDQEcAUF\nf+qcC6X1ebxG2Lhx47Bjxw7n54yMDFGlJAiCILxF7kKsdgYTY9fFGnxylL8WYqBhG5gZLTYcL5Gv\nTqKvLP4xB/O/yQq0GLJysLAemRXNgRajA4Eay1frzbjzs9MBOruy4TXC0tLSsHbtWsydOxdz587F\n8uXLkZaWhrlz5+IPf/iDP2QkVIhUcfcjRQ34x+5LkhyL6IgS8iO4ih+/viff7fPhwnq0mOU1zL46\nVc4bNvf3y0yMnuoNFry1t1BGaXyjuN6IOoMl0GLIghLakxIxWnyfeeoLru1VaTrinR25bt06f8ih\neCiUHhhsNjuMEkwdJ4Tj72e9wdjxhezw8tS1mN22L92Rh9R7ktGFZ6alJ9R8gxO73Y5Pj5cJqoVG\nEH5FYKcjruYEQQgkK2wQyhuDt25TsKC0/AiCGdXoyQ6Y/TRoOlXWCIvNjq9OKmeyj9L0pLJUYr/g\nVx0JUAAZYYQsZJQ0MiZikkexI1abHafLmvh3bMNisyP9Up3kchTUtlAJEQVwuqwR6zLK+HcUgL/b\nm95sxZzPz/DvKAHPb81BbnUL/448SGmofHCoGNXNZv4diaChwWDBD1mXvf49GWGEG4V1BkmmMTc3\nMxsVFU0mn48dbBwuqsdzWy/y79iG0WLDir0F/DsKwDU/4rOMcry1z7tcIrsdyKtpUeXC9krjm9OV\nWJdR7rZNaXksUuOtIcTUU/1583m/zlx35dcLFdDLnLNI+IbUbWlPbi1WH/C+YgQZYYQbC749h8OF\n8s2s8lNpNQDAi9tzkF/j+0hZboIl5e2Sy72WzLvg5YF+zauFIcDJwP5k+S/5OFYsTbu12+1uidRq\nC2llX9Z71c9opKwDpGKP/7bsKmw+671nhxAHGWEBRKrB2qGCet4wEtNUfDYMElgFUVHRPh/DV2pb\nLLD40+rzEjG6kRqu/IjXdilzVmqei7G34wLzc//+wWKPcLi099jfhglfHsvunFrsuijNSiZp56ow\n+9NTjN8dL27Asl15kpxHKUj5ZHTp4r9F3eXi3QPFePcgt2dn76VaHCqs95NE0qK0vD0ywlQA30v6\n7f1FgsJIGtWNaYODk6WNeH0Pv0Hz4vYcP0gjnNoW/+e2NJutbkYWE2YXw9poFfYK3ZNT65NcvmC2\n2nC0SHrvslwRt9IG9gk1P+fWYn++by9fOeR+YlM2s9wc55K1eryEXe20NSdwoMC7HNBXZSrv84/d\n+R3Kx+RW67HhtHImSagFMsIEwpXLZLHZZV/CSAMN6lrM+L9U5hGq0mDLCVMTUvWjP+fW4tc8/k70\nWHGjRGcUjhJyjVzfhRtOV+Kx77IlP8dRiUJ13rA/vx5Lfsr16Rj+0BOTTZJd2YwSDqNMKeRUt+D8\nZZbiqBI05OPFDTAJCG+3tMiT/nCpxuDV71rM4qMa3r7JNpyuxEdH5C9yvM/HSUlK6PNcISNMIA0u\nxQU9Uwce35SNv/vYyXqyJ6c1tFBU1974KppMXjUqQuEoP2LqE0IdDkylBpTkvd1yrkrUxIOC2haU\nNhjdPNkPfX0W9TyFSgNxxWzpUPm14l7+/n6UpXRmcd33F7bnYk9u4LypakfKZ/rH81Wi9j9b0YQq\nfatXf/G2HNSZ/dPCzpQ3CRp8CzLCmpqakJeX5/aPaKeg1oDzl/W8+z2/9SIajezGnINXdubhn7+0\nzn57+NtzqGySJyxktdklyyPxRAk5YQQ//sqPUNvap0zkVPO3cVe2n6/pEEYyWGxehcGY9OS4p3LO\nBPRXzS9vCWQ+JRPBkBMWbIt873ZJRThR2ogu/Ub4fMzjJQ148KtMxu8cd0/oWpmCKuanp6ejT58+\nbrNHXn75ZUEnINo5VdaEojojknt1vO251S0YFBcBrUaDAwX+SXgsqTfiX78W4NZhcX45n4PdOTWY\nMtS/51QywdXlEf5GzmKl//Vh6j0bnfV5V5rBGAhqW8zoHhEqaiZqtd4MXYgG0Tpec8VvnClrwmWO\nenBixpy8V3Xu3Dm8//770Gopciknj2/KxqvTBuP6/t0Yv9dopHO9+8MpwZUTll3Z7FcjzGa3Q6vR\n4GhRA6wBHOXZ7XZpp8GLZPPZy4iPDMPEQd2d29LT0xU3W8iVXtHhuFAlzgPlF/ysRi49uaYs+Jui\nOgP259fhvjG9AyaDt8jREzhzwjwOLlVY3Wqzo7zRiKRuEZIcjwk5e8gHvzqLzX8YhbAQ4ffj/i8z\nMbJXFB6b0BfD4n33NF44fx5Thk7w+ThSwWtZjR07FiUlJf6QRfFIMVuMazRkFjjTixBORkkjpn98\nEgBwoUqP7EqW5F0/sFeGKvdiKGkw4nKzPMVy+WzLzHLvJmqMTYoR/Zu8mhbUtATnAtFCkWus4XnY\n2haLRJMevDNSlJQz6C1iwslbs6swf8M5GaVRJnUGC576/rzoHEUhHC1qwNvpvix471tjYzXC0tLS\nkJaWBrPZjA8++ABbtmxxbtuyZYtPJ1UazSYrb7IsANz7RSZq9OpfksIfpp5ScsLKFLR+JZsBFEjT\n29W7Iufr7LOMcugF5kgAvuWQtYg4jydlDUbnsjO7c+TJl/Qkv7bF/UXMcO1ivJXBkH+35kgptglY\nQktpIT7PnDCrzc67jNH0j09i8bYcvLO/iPf4XG2oWm8OqFdUKBvPVHKW3Hh99yW3iXCuSFGF4Irh\nw90+Gy021Al4/8sFqxFmMBhgMBgQGhqKMWPGoKWlxblNrmm4UiF2FLhkey7u/5I5yc4Ts9XOePxA\ndgXVQWAYCiG3Wu9WyTvQ2O12t4kWrPv5QRYp8VZeb70v/rw/nqFNu7115vORtjpem7MuQ982Azmr\nwsNrKpOgj27MxkEBeaCNRgtOlfm/jIkr+/Pl9+Y6vFvNJivWHOkYhXkm7QJylBiidqXNEK5pMWPh\n5vO8u58obcROHydJHSqsx8YzlT4dwx8U1xtRq2fvN89UNEkSFaprMatixRTWnLA5c+b4Uw7JETMa\nvNxs8l9ldTtgstiQ5UVYLFQrbohb1mBEfq0BEwa455kFOifMWwke33QeD43tjYfG9vFOKInZn1+P\nV3dfwv1jeuG6ft2Q3Csq0CKJJhA5YX/ckIU3pw9Fr5hwr37P9/QYOWb0ZRQ34IqESLdtX52swMbM\nSuxYcLVX8kiBiWcWYnp6OnoOH4v/HS7Bu3dc6SepOqKXoESOmNl3TP2y0WJT7MBG6Q4KSfFy1LXj\nYg3S8+swc0SCV6c66zk4YuFMeTN+zq1B9y5hbtu9zQnLrW5Bfm0LpgyNE/T8Cb07XmXbm0y0CLMv\nNBqt+Ocv+aJ/F9slDHGRwmeIFNQasE1kTRWlY7LakVOll704risVjSbG+lAOD+RXJyvwQ5YPa60p\n9Y3iJRvPVGIHx6i+uN6I3BphnozTDLlkfLdrxwVxHoUGAd5MXxCSt1RUZ+R9pvcX1DHWCeRaIzOQ\nockmowWVHEWu2dgspi253LKvfZwlGgxhXCnwx9wlvdmGdRllXv02ULUyPzpcguVtpaOkhNcI27Bh\ng9tnm82GVatWSS6InNy25gTKJKr6zJeDkFut5112xUFtgJOH5cynkDMn7PltOWgxe5/3I5ZALN/j\nL+TwgtXozaiT6Nn2JuzENQP2jIdR91lGGfRePEti3tdCKs5/fqIcu3Nq8PimbGcoprrZ7JR34sSJ\n+OpkhVvuqiOPzF8lbdhgu93/2JOP3399VvTxxFyP66kvMSRtc/VwTrkltDqcOWFeHnLHhWrUqai/\nefdAEWv+Fh/rMspF/8bztn5ylL1CP9v7zTMnLNDwGmFnzpxx/4FWi4aGwC0BwoXVZmdcusIOoKje\nPwnaj286jyc3iVt25dNj8i/1IAYlDAhNVhsKBc6EqWsxB2ShbrFnZPOI+CO5uKTegO/PMnsY7Hb+\n5GE+iv3UvgTBcTtPl7kbYf5YKir1ePuIv95gQZPJih+yLnd4vlfsLURudfsA7p39RXh2y0XW4xZ4\n/J7psqX0ajDlo3F5jxoDmOzsigatqRlKzJfyHLBvPFMpembvnpwafJcp3bWJeWQ2Z1V1GNi4cqqs\nESaLTTYv49enuL2fepMN9TI4O1zbVaPRN4cAqxF24sQJfPLJJ6ioqMDatWvxySef4JNPPsHy5cuh\n0+l8OqlcGCw2LN7mv0WQvenfmH7zpYsbnSkRVS6OyLCosAOunDAhDbK62YwFG4VNxb7ni0xskrAT\n4uLlHXkoru9oHO7JrcW7B/hnN/HBFlryvGV6sw0fHBJeSLOskTkslJ6ejgMF9bifofqzmI6z2WQN\ntqiqz9hhh41BnfUGCw4W1HOuR+uJt+vdeRqdvvCtCCNm2poTAff0u1KjN2OfwEkFYpam8kRsTpiv\n66Sev9yM0gajV2FfsYixo+oNFnx9shzPb83B9gv8s1z58LZvySht7KD3C+dbJ0rsvFiDn3N9nwHt\njUfPFVYjLDY2FoMHD0ZERAQGDRqEwYMHY/Dgwbj11luxePFin06qFNIv1XWcAcXDmXL56kxpAJwo\n8d/sJ38stuoNZyuaOHOKmBC6RISvlDYaYXHO3HHvGo7z6E6Ix0tMbtl3md7loX1wqBh/+aG1I3o1\nOwrLdl3y6jj+gMmDzfcyGOExQeKVnXk+j1YBd20LSQ7eebEGa1jCJRqNb6mABwvqOSt2O3CdpPDf\n/UV+eVk7qBeRa6eEfCxvRfg5twa5bUtaMXkeq/Rm7L3k3bqT5TwldhZuvuAcxNfozYLKesjNocJ6\nNBmt+ORYqwfYNUgh5B7X6C2CZp3zwtLAHJv//WsBVvwqvD6YXLmjrEbYwIEDMXnyZMz/VNvCAAAg\nAElEQVSYMQOTJ092/hs3bhzCw72b1SQnepMVq/bx31CD2Yol21u9Za/uvoQVe8Ul2m05xx7Scf4t\n6ojC+PhoKY6XKDMM7Mnc9WdhDYnwOhSyN68OxyQpACkv7x1091oW1xsZS2g4no3/HWZ+IbveJ7H3\n7F8CJ3isd3HbHylqwLnKwE7x9+Wa+UjxMMLkyJn64kQ5DhfWo7zRiNzqFlQweBq5DL/WlxH3hbsa\nJp65e968pE6WNcLgx6RmfxSfVoL39c2fC/DBoda+oEuXLowGpZBZpUwGytz1WQC4Z5Q6UjHkHIha\nbHbBM2O5Sm2YGdJGmk3WDgVrG2W8luFe5oSVs0QTfIU3J2z69OmynFhqLtW04FcBFcnLm0w46kUe\niFQjNW87jfJGI5pNVtToLbzT2T0xWWyyhh49KW80OVetlxqxavB3J/2jwNmov+TVSlLzzDMviI2c\nauVOnffnJAspWbojD/87XIK0c5cFDRrc8xY1fpmFFozY7MDnAkJAJQxpA2KYtuaEqBU2mk1WNDmM\nBy/eF1yzXAPN+weLUSiiEGypx2QUrmf9zs9OY/rHJxnTPPyFFG0xzcsZ8oJLVFitVtiYEhwUht5s\nw36OaryOt7IU+TtCKGswokrgUjGCZvIAoqv2N5msrYv8+sHlL2Q2m2gxvGwgGh9+6y2ejflkaSPj\nCPKNPfk4WCi9h2bVvkJ8e8Y9WfXTY6WCRskOY4ivsr3BYsNRCY16KUKFQjFa7ZKseuEoJ2GzQ7B3\nyTnat3MP6pg8SFt+3i9aRqD1eTxR0ohvTgsv38D2QrIFYPKLKx8cKsZHh0tgtdudbYdNVg2A+RvO\nIafaO4+vY7KU6zI5fLUd/7ghS9DKK94QyDVngY5GFR8XPd4DGaX8jg/uEi12l/+Fwbbv+fPuxXP5\nbi1TBIrp2GwTn/jgNcLq6urw4YcfYuHChVi4cCE++ugj1NUFdg08PoTMlCus8242l1iL+Q/fZOGv\nHDOcuM/lfjKmh4XpAWkwWDgfaDnb81cCavVUiZmJxyHr79ad9mu9MG9YtC0H+3g8tFJewbbz1UjL\ncvfGCc0Dcrxw+Ea89S0WvL3fl7XW3DknsnCxr149IcvDODhZ2jq7yxPHDLaLVXrsyRWX77PjYg2O\nFDWw6p1pttkHl8QtXOzqiU7NKMMaEfmfTLXZALBGEOwAfpIg+ZqP7zIvY6PICTimNoN2T24t7wxg\nV0OnoW1g4NoHb+fJt3KdiCB17p3dbse0NSc4ZyL6G0erEPJOfDtdnNPDs9svbQhcbdIXfswVteSa\nWHiNsG3btmHAgAF45513sGrVKiQlJWHbtm2yCSQ3juflhADLnA2xRozrSPnfv3pX7I3tnC/8mNth\n292fn8EXJ3ybsSGE8kZjh4kEQmYg7cuvw+t72pPBvzlVIcoV7+gYG43WgJSmkJNNZ5U3jV4oTHkr\nnx4rxSmXGXpfMjyXTDlbXC9MqdfH43LwL/+lQPKE3B8dL3OeR9e1zVvtwjsdMWEjB2UNJjjq0OeK\nMHIdUjkmlJitwnOH/EnauSpRs1F9xWhhVm6j0QKzyHQSV7IE5HLukNggLqwzMHrSHR5bOzqGUn3t\nleXMCfY2J0wueI2wrKwsTJ8+HaGhoQgLC8OMGTNw9qz4Anz+Rm+y4k9uJQ6YHwsmK76w1sCap1Lj\nYyG98kaTV3WhxHrg2BaL9uZYnjhy0i5U6bHlnLAcqLMV7iO4X/PajbU1R0tF5V4AgXfPS8Wx4ga3\nKc41DGuq/ZB1WbJZT1yqFzLbTiyeJRI+bauZ5er9YlIlV0433/PLV6H+crMJT37fXhrALDDNgum0\nvtwzvma4P589XM3lzTOzGABFdUZY2m6e2Wpz86J/eLjEZdYvP9mVzYxrIjIZ2YHAcSV6k9X5zPly\nHDFwJXD/bt0ZvHeQv7TMD1mXRXv5Q9qWtUsXWIrjSFE9PjzEXBLJtQW9f7AY2ZfZjb/Xdl/Cbz89\nxXEm8XdRTDkUV1YfKEZa2ztJ6FldZ2DvyanBnpzWiQVVzSbn367Hs9ntSOeJblysbsHPAj3kvEZY\nnz59UFjYHnooKChAnz7KWLvPDY9+t6LJ5FZBeVt2NbZmV3VQTEmD0e0l0GyyYsHGc6xV7yubzE4l\nA/C6WrCQpUyYfuVgf34d3hfQmKXmaFEDZq09hczyJvxjd76o3wUCR76RzW6H3e6Psqji+OpkBW++\nRY3ejFoReUxc13iwoJ73yfP1Hv2SV+v0xmSylHJw7aBELonqMzY70GCQNryQWSE+TCTmafT0MpoY\nDCYhOVvOvD+zDW/uyYfVZvfKc+bJxarW/pJp9psDQ9u5HXtsOVflVV1Hrskonv1Mfq2BdZamY2tF\nU+uyZEIfw63nqjhnK76yM8/5N9O5hYQqPzxc4maECXlSuoSKW4VQb7KhSs8ui9lqw7NbLog6phrw\nzAn75Ggpjhc3oLzRiH/+UoB/ti1N9F3mZeffrry2+5KgVTCEwrsQ4YwZM7Bq1SrEx8cDAKqrq/HU\nU09JJoC/OFBQjwMF9fjgLu7Fb5tEJAn/mF0tuLiqrzkCno2wxWzDJi8TAcWeC2hdNHfHhWpsaBuh\nCF1E1cGXItd1c3SIvnrtHOHRV3ddai1KOqaXbweUEpZrW5VeiKcn9nfbxuX4c3TWIQKsmcvNZoRI\nZPTszqnBb4bEMp6DCbaq+lJ7NVele5ev9sWJcnBFirik9OYKpJ4d6TSm3ISxu+ez2N3/3JZdhf8e\n8M9grkpvRt9uIc7Pey/V4mRpq/Eq1RMgJoG8qS3MLHa1h7f3F2HykFhEhYfw7jvvmyxRx2Yjuy0M\nKWSCzXkOr5UY7G3nHRgXIcnxxCDJ8yCgfTl2MVrteHxTu3H27oEi0ROGuAYgXPAaYYMHD8Zbb72F\nnJwcaDQaDBkyxKsTSc0dqafw/R9Gi/6dlB3fuy6eKL3Zhv1tL3ymc9QJ8JjxPXhSPJiXm02Mo2gu\njBYbXtqRhxOljQhre9FzjQRd0ZusiBTQWZ0pb8LI3tEd6h8VeUxbZntfN5msOFBQhxsGdAfQseq1\nq9Eo9J0fKK+Z5wK1dnAnpn55shx2OzB3XLuH2mCxYU9ODa7sGYVdOe5ucamW8Fr+SwFG9xG+RuhT\nDOErAGiWeHakt4n7X5wox4zh8ZLKIhUaH6q75jN4jhxNoMUll0fu572q2Ywuoe19gcMAE0PH95z3\nUl/wmMHHdCTPbZkuifEGiw0Wr/K7hHVAn7uEdo8KyJFyyMq1UoE34x2Hl5MPxwQVSQwoNkEleEiF\n5IRtzqrCpEHd3bbxGcDe1hET7L8cOnSoYgwwoL343T6Gqvd1LRb8dEF4xfXKpo4jdzGVdB1wTQOX\n4sGUwmHw4FdnRS+NtDW7inciA1OCfL3Bgjs+O43NAjx26zLK8XlGGe79onX5HMfRNpx2zw3wtP1m\nt+Ui/JBVhVd2XoIcSOmokWsiwecnyp05kHY7cLy4AavSizqcz7UoolBDWm4KRIbDHPrYxbeqgoSX\n9/zWiz57sz07aaG3v7LJ5MyR4/pNcb2Rce1ct3N6nF/MrElfWbQtB2nnLncYZCgFITlYS3e0hxr3\n5NQIXnXEta3xGVSOXbnWRZy25oSo1TU8j+3AYLYx1lPjuhNSzkiXawUHX5ae8jesRpjVasUvv/yC\nI0eOAAB+/PFHLF26FFu2bIHRqIzFelvMVry2+xL+s6/ALceK+xkR9gCJLYgKcIcyPd/j1Qw5Pkar\nzS0h2Zdn3RHiOVzY0GGl+QYez8Mbbbkif/8pV/CyTrd/crJDPoZjxsy7AnPXHCM4O9rvl9JLUHji\nKq1nrRxP2LyjngnSQl/WlwQWbuU7vxib07E4dbPJihV7pStbIQSuZGGpOVXWJLqUhife1pB68ntm\nD6InZpsdCzcLy+ERMrAQMngCxNm6h7yojVfeaGRd9sfz3EL7GsF4nMDVG2Kx2Vlzh72lpMGIWoGT\nv1Z7EUau0ZvdDMLDRQ2Yv+GcqLxAKcuRuL4zXG81ayFrEZ0TW86lZ04Y26G9fvOI/CGrEfbJJ5/g\n4sWL2Lt3L7766ivk5uZi/vz5qK6uxnfffSfo4MXFxVi5ciVWrlyJ4mLuB2bt2rVYtmwZVqxYgdpa\nYbMKnGE1u7gkVy588Xp4xpD/sL59FqmQ4y7/pcCtUbsaIAazTVCjY5qtKHYdRqA1gZtpOQkupBzV\nOO5Xk8D6LK6319dR0As/uicLe+sw4nNPs82S2pdfh9TjZc6cFblgm1jRXlKC/aF1eI8dHmexxRx9\nwVcHHlcJhjSO2b5SDwf8MbzIq3F/ubqe07Nt1bWY3TynXJ4WSUNPPBTVGXlrdHkipK6T4zkSEurz\nRIPWSVmO/CvXMixC7smzWy4yDjBNVjsOy1DE+W9tfdqj32VjX34dpq054fNMfy6k8LILHbSUNxrx\n0o6OpZrYsNk1jH0A17tGzsn4rEZYQUEBHnnkESxcuBBpaWn4/e9/j8GDB+P3v/89Tp48Kejgqamp\nmDdvHubNm4cvv/ySc9/58+fj5Zdfxs0334xdu3aJugg5ptb7guPxK2t7CUuhQKEhG9ep68UNwn7j\naDBM9Zesdju3IcZxbXzXXdlkcluqwpdmK/QeCykmy7cQtz/Yfr7a6Unkuy9ichHcDWXpzAB/tkEx\nIV1H5XNvjqvRtHqshayB6LmHkKr8FU3CDFfRHjQBt4epueTVGPBjtrCSM45aZ1+fqhDsLZcDtq7p\nPwK8so7Q4rbs1muR80WrN9vc1o49U94kybJlQslw6dMcERt/rc/L1X48V7dZ7bKSjdB6au8dLMah\nQuHXcgnxeHxTNu9+rlJzlYvxFVYjTKtt/Uqn02HYsGHo3r01SS0kJETQAt4GgwGhoaGIjY1FbGzr\nDCqTif9lER0dDYtFWKfjMB64Cn16LuoduDSY9hZ+qkz+qscNBgvrgtGeXKo1wGy14eFv2+uqZVY0\nobTBiOe35gg+jlieSbuAP24412F7WaNR9ALTjrv7i4DaLJ7PQL3BgnUZHWsJWW12rPCyuK4UnCpr\nwt68WpQ3cr+suRbM9URl0V1GdKHC35ZiZ+W64nhOxIZfsiubcd+Xmbz7edOumkxWPPgV97ErBdQI\nZJuRKnam5GGRpWc8PXNywZcKwIfDS/XFiXLGGoZcBpvQJvYZQ5/jC2Lfbce8WEPZG7g8ja4y2O2t\nub0OXtqRJ8gQYwulst0Pb1KN/iXje4B1dmRRURGWL18OoDWs6PgbAEpK+BO7y8rKkJCQgNTUVABA\nXFwcSktLMXDgQM7f7d+/H7fffrsQ2d04feo0gI5Le3hb5NIz762xoRFA68ye4qIiANyG6O5f0wFE\nAWg1Pk+eyAAQCQD4+VQOgDBeGV7Zlce4fckPZzCyqwWAjvW3l6urIWDyKwDgh/2nsK3C/Vj7LlSg\n1sQ+byO/oABAOOoNFqSnt17rzhx3Y4Cv3AfbLM3DHqOampoapKeXwXE/LVYrDh086PwMOAxyDTaw\nTI4wm81wmGrnzp0D0D7t+vPdx7C5TIeHxvZxqzZtR2sZhn6mErg+WxknMlCss7ud35XW+wHYk1I4\nvm/9rcHCfI+q9SYsZ6hRA6DDtXtiMBo6XKMvOK5n4sSJAIBjx47C8Sx7iy+es/T8eny76wCY2rtQ\njEYDHGPQ1vQH9rZSUMjf3isrLwMYCADYfDCTcX+mmoLeLPpbpzeBywXNnbZgR3p6OlqbJvszBHDP\norVZpZvRypc+cPbsWdTWhkJofwa4L9vkieN55rr+vTmXAWhRpTfjzz90zLPbk34I6DaY8bc2mw0N\n9fVwvC/Y+C6TWfelZWWw2UIhJthbUlKKoQP7OT+np6c726snnx4ugKf/JeP4cfSfcqOgc52/mAOu\nd09VVRU0jTY42sDFikYIuRZPYzenuqVjiJDhlSF2SaMLlc1OK5pTKhYjrrqK+93aGils75v27kuH\nVgNERjL3maxv2eeeew6zZs3CrFmz8Ne//tX596xZs/Dcc89xiQ4ASExMRFVVFe6//37cd999qK6u\nRmJiIudvjh07hqSkJCQlJfEe35PRo4WVq+AaLNjtducUZJ3O/SGL6Rrj/Ltvv35gwjXRuTp2mPPv\n8PBwWHoMdX7u04f7PjhgG6kUtYRgwCDmDsBBfFxch21sYQNtXMf7fZnDAAOAgQMGAGitiO5o7J7H\nF5uofYklyTUuLs55jp9zaxEaEoLrJ0xw2ydEyy1vWFi70TtixAi374YNa9eVq8yOl+aYMe7PVm3X\nQRh//Q2s55o4cSJrB+j43gH79G/27sH12i8y5DZE6CI6XCMTfCNnR4Kw5/Vce+21vMeWm//l8xtg\nepZVLwBAp2s3UJs03AYlW3t3pWfPHs6/2Qaay3Z1nL3rTY2ukBD+ki9s2NGqzwke7UcsWp72JiUp\nKSnOaIonQupmecLWPl1bXGgYt9E9fvy1rO8SrVaLrt26iZbLQWKfPqLvb2Jiotugl6v/qTN3PPbY\nceM6bLPbmWtfnTF05ZQlISEBv1a13z/XvpcLX5eVEppDa/cx7hyfwF7G5khRPb4sdTfu6+KHc+qD\n1ZxLSWEexQtFp9PBZrNBr9fDZrPBarVyhjFzc3Nx/vx5PPjgg4LPsUrkoqB8bDnHXrjQrcK9FzHN\nAwXSLnouVUE+JSHkmiqaTIgMk+4FcP5yM6uxyPYSX3+qAnOu6sl7bG/rxvDBX/FempijqIXWvaCw\nzoD+3eUrBCl02RC2zt9xF7e15Ulx3fcymXQtF1wGqppgMmy5ePjbLHx8d7LP5y2sM7gtN+aK2DqM\nTAjJQ3TFs3D302kXsGLmMJa9O3KkqB7dIkLRLaLdJHh2y0XGfQ08JUa8NXGEpA6w1RoEgLvWnXH7\nHIjMi7//1DF6xTdJRLh/1wseeOABfPzxx9BqtZg7d65z+8GDB6HT6TB27FjntpUrVyI+Ph7Lli1D\n//79MX/+fN7juy78axG4/hsXXKPSLJHT010Tc2tbLG4F9LyJSXvC9ILxdqV3b2ayeFsdWCo6LPDM\n0/KZkputNrubt/GXPPd76ggX7GibAVhvsHAumeIphj9rMLGR52XhUn/g7fPqL/a1rQ/nmPXM9cRn\nVTQjv7YF6zLKEaPz3lMlN46mLoXRqMaBYFGdNLN4SyUqeCwXWRXNovJZ12WU46re0W79l2cxWwc2\nHvNGTWmnXO8xtsEsnxHqSbXejKe+P48/9mf+XlYjbMCAAXj22Wc7bGdyha9evdqnc721T1qvGCcC\n3JlMMw0dVHEkzvrCmXLXadLCxyNiiic6Hku2UaC/8OwIHL4xpvAcG6/tvoQh8e1hrTf25DPud7Kt\nUG1GiTSzicROt3dFbN20t/Z5X7uL7TF/6OuzzF+I5JNjpSgJ0MtMSOhD7KzERze2zriaOqxjKoDS\n8HUioL9ftP4ogfJvEQW6/bXUky/sEegJduUkT1FuQLwR4gu+PKdsObVCYXvGXScCnBWwZmyD0dpq\n0LIYYf4L7MuM0EYqtPPgmgYvJA+BqRirg0KJRmOefONSXb5BRI0pMY1VyorvYl5yfMm7Ri9CAK6e\nVCG8+TN/o7ajVVYug02MbjzxptglG2yLa/Mh1ROQWd6suPIyakAKT7qf10z3GbHJ195w0KVteVtY\nVwo2ZwkrE6IWesXwV1NgY7/IPlpKhASIDggoXcF3nKAxwoSyU+ByRlzrbzEVRPWEayq2rwmIbLh6\nwsQusK0m7AAu+BAKOe1SIkSQR8+LNxabof12eiFOCRhtsrFs1yXsyuF+hu12aTyVantRKwUxJUO8\nIRjKjAQ7rn2xGmgx21pXWxDQ6PUiPWFxXYQl5jPBVVhZCWw4U8m7D1+OrqzhSCWSWy385W212RGi\npVcRH6f9UPfME7bp3UL4UWQ4UEweyQeHWsu3eC5E7kDMmqZs8OWlAZB8ORU5kLM4JiCsYGqnRSXd\nmslql/05IQgmxEZKvKXTecLEwPYiJdx5eSdzPTO5aDHbfDIypOjU13Ms1g4EPmdODcj9bvW2RmAw\nk1vdghazVVBRYy785YwrkyEXbOHm86rzVKmJvZfcKwH4Mls7GOzvX/O4KyN0Ok+Y2DwYvmrlhHe1\negKJmIkIbGw4ze+GVjtsVdWlQoqp/P5Eiucm0Hx4uASnyhpFLfMSSI6XNOJ3AsrBiOH8ZT2O+2nJ\nHiL4kDqPtdMZYWL44FBJUOdWqQWjBInIhHiCYRRKdEQKA0xsHStf4FpY2Vt8Wc4qmLncJH0I35fn\nLU1A/rXaERyOzMnJkVMORbInt5Z78WrCL5wspdCBKzUt/sl1olwcQgmwlY4hpGc3z6QfQnoEG2Gf\nffaZnHIQBCGQ/TzToqnsA0EQ3pCj8NmIwQgl5vNALzSCIAiCIOSAjDCCIBiRsjAvQRAE0RHBRthj\njz0mpxwEQSiMYJgNSBAEoWQEG2GJiYlyykEQBEEQBNGpoHAkQRAEQRBEACAjjCAIgiAIIgCQEUYQ\nBEEQBBEAyAgjCIIgCIIIAGSEEQRBEARBBAAywgiCIAiCIAIAGWEEQRAEQRABgIwwgiAIgiCIAMBr\nhFVVVbl9ttls+Pnnn2UTiCAIgiAIojPAa4S988477j/QanHo0CHZBCIIgiAIgugMhLJ9YTKZYDQa\nYbVa0dTU5NxeWVnZwTtGEARBEARBiIPVCNu5cye2bduGuro6LF682Lk9JiYGd9xxh1+EIwiCIAiC\nCFZYjbCZM2di5syZWLp0KV577TV/ykQQBEEQBBH08OaELV261B9yEARBEARBdCp4jbDw8HB/yEEQ\nBEEQBNGpEF0nzGw2yyEHQRAEQRBEp4LXCPvmm28AtBpfixYtwl//+lccP35cdsEIgiAIgiCCGV4j\nLDMzEwBw9OhRpKSk4I033sD27dtlF4wgCIIgCCKY4TXCQkJCAABHjhzBlClTEBMTA5PJJLtgBEEQ\nBEEQwQxriQoHQ4cOxWuvvQaj0Yi+ffvCZrP5Qy6CIAiCIIightcIe/DBB5GZmYn+/fsDADQaDR59\n9FHZBSMIgiAIgghmBM2OHDlyJLp27Qqg1QhLSkqSVSiCIJTB6gNFyChpgMVmD7QoBNEpuKp3dKBF\nIPwIqxFmsVjcPl+8eBFZWVnIyspCfX297IIRvqEL0QRaBMXxh3F9GLdHhrU3g8Su0tXFe+qGvpId\nK1AkRIbh02NluPeLM/jnz/nYm1cbaJFkIZzaC6EQUnpFBVoEnwjVdu62FKMLEbU/qxG2fPlyNDY2\nOj+///77SEtLw6ZNm/DDDz94L6HM3DCgGwBg8uBYwb/pFsEblZWM26+MZ/1uylDhMnNxZ0oPvHjL\noA7bHfcmGLhrZA9R+w/vEYneMcwG1mu3DXH+HaPz7lnY/vCYDtv4nsFVs6/w6lz+5L4xvfHO/w3H\n/+4agZG9o7H9QjUAYEBsRIAla0cXKrrcYQfGJXWVQBJCKHOu6ilovx/mjZZZEnb6sPQXjn5UF6LB\nb5MTJD9vXCR/H5TYVSf5eZnwZjA/KK61b3jhNwOCziAbHNdF8mOy9l61tbWIiYlxfu7WrRsWL16M\nJUuWIDc3V3JBpOL5SQPw/KQBGNm7dTQxaVB353d/uo45jLr89qHYNHeUJOcP0TAbdd0jQrF48gA8\nPbE/6297Rfvuhfnb5AF4fEJfTGAwuIbE+/YAzR4hfYcDAIsnD3D7/MQE/nD3faN7iTpHfGQY5/cP\nX5uIlF5RiAwLcfOMMfHTw2NwRUKk2zatRnxnk9wrCmOTYnj3c32eekS1X4enp21MInsY4/bh7MY/\nGzcNbG878VFhmDUiAW9MH4qpw+LQM4r7fkrB2ET3ezNpcHfG/RZNan9+xHq0ekWHY+2cZMwYHo9p\nw+IAML8EwzyO+/TEfs6/R0rguRjVR54QlNhRuRg824AoBKjp9duGIILFwBZyXaM57un9Y9z7D88+\ne/rweIzv17EP/fstA/G3tv4qWheK8f28N94dhlTH+8h/c7p3aZfXF4/78B6RnGfr1919sDW8B7/O\n373jSgBA7xgdru/PfH/Y+thr+vL3h4HkFgGOkmEJkfjzjf0wbVgcdKFahIdoOEPMrG8bq9UKo9Ho\n/Pzwww8DAPR6PWprhYUkiouLsXLlSqxcuRLFxcWS7QsAf5nYDwvGJ6KrR2OMCg/B1GFxCNFqOrx4\n+nQNx/h+XdHF4wFgs25vHx6P6SJeXi/fOggv3jIId6R09NL05DGwIkK1HTocPsOhS5gWL94y0G2b\na+P05P4xvd1e4k9P7Icv7k9BfGQYlk7p6DnjYseCq7FjwdWifsOGZycQFd5+Df+4bXCH/T/63ZXo\n3qX1Ov42eQBevpVfdtd7O2VoLJ692d0Yvnd0Lzw0tjcAILZL+z1iMow1bQaXo4NxeDddO/LZIxIQ\nrQtxHhNwH1k7XhBzx/Zx24cJm505Hyupmw4aAIPbRp7Lpna8Vw4iXJ755F5RiA4PwU2DumPHgqvx\nyPhEt32va7uuP13PbAw/OaEv/i+l1ZMhpFP21ni/y8VbwhZKvv3KeLcXcpewEDw5gfmlxBTmGRgb\ngaRuOlw/oBueazPm7krp6KW5Z1TrS9txLldP4Iwr26/P8Sx49ikrZg5llMmB50BELGzGvOf2YRwD\nsUGxEc4X+o0Du/G2q9V3DPe6D3BtjzOGx2OJRz/2u5E9ca0XBo6rZ2o2h5dqZK9o/MXFkE5qM4gc\n/f1fbuyH8NDWdj7/mj74fu4obJk/GjcPjkVEWPvzxtI0WXEY84PjumBg2zPkcBiIYZTLS/23yeKi\nAq786bokjHEZ7Lzk8R5I6tZ6XxwDjWdu6o9+3fi9cDsWXI0RPaM6vNOu7RuD7x66CiEMHjKHh/Ge\nUe3tb/aIBGx/eAxWzhrmtu9zN/dHmMsxXI09ITl1/bp750nkeydvnT8a/7htCGaNSMBzkwbgu4eu\nwsaHRuE/HvK7wmqEDRs2DN9//z0MBgMAoG/fvtDr9di4cSOGDx8uSODU1FTMm7uvqBcAAA47SURB\nVDcP8+bNw5dffinZvgAws63jG90nhjOceJ/LiKdbRCiG94jEiB7sD71jRBoRqgU0wHCe0d4NA7ph\nzqie+PON/XDjwO64qc3zdt/oXtgyv9WVHhmmxT2je2JgbGsH6PlSmjUiAfeO7gV4eFOSPV4afbvp\n3MKZ8ZFhuLZv68MXFxmKcUkx6Nut/eXwwm/cO/ZQrQbdPe5Vt4hQLLlloKCROJOzx7PzlIKpw+Kw\nZf5obH94DGOYyNXrdHVSDG4c2B2f3ZvMerxRfaIxa0QCknu238/brohnNH7ssGPFzGHOEe60K+Ja\ndQPgrzf17zDqvO2KODx+ffs2h7dxTGIMtBoNHhrLbDw4jOfkXlG4a2RPt98CcOvoBsd1QbeIUEwZ\nGut8vmZeGY/EGB1+mDcaVyd2xaPXJaKLy8vB1bBaNGkAxiZ1dXqCI0K1mHZFnPN+zGkzMIb3iETf\nbjpMHhyL/t0jWAcOkeEhzsEPm3fKleReUVh4Q19EhbN7L1w9TXem9MDoPtEID9Fgy/zR6BUdjgev\ndteVo80/PbE/hnm00UFxXRg72RUzh7l5uRzPvisaADNc2tjfp7R+7wh5RoaFtF5H28v3b5MHuBnq\nDmPt+UnuRv6oPtwj/B5RvnnB/zmD2chje2mEaTUdPONhIVq3F7rrdXGFfO8V6ZUGWkP1fdue8cev\nT3LK6bjfU6+IE31MBzsWXI1r+sagS2gINvz+KsZ9hiW4X7sdduxYcDWjAZ8QFY7I8BCEh7jfA28C\nbXFtA7ynJ/bDzW1teeJA/jbkK2ztdGTvaMx16Qd7soRg35p9BQa1GY0fz2nvaz2jS562Vfcu7s/f\nq9OGIFoXigfG9HYbPM0akYAltwzEi78ZiAXjk/DZvcnY/IdRWHhjP2g1GqT0jnYzuobEd8HWP7am\ngMy/pg+emNDX+bzeMqTdW9W/u3dpE47+d8ktA/HOb4WljTwxoS/CQrRuIdiwEC1vugTrt/Pnz4de\nr8eSJUuwaNEiPP/883jppZdgt9sxb948XoEMBgNCQ0MRGxuL2NjWm8JW5FXMvp70ignH67cNQWLX\ncPzvd1e6fWcHMCS+vYNO6RXt9lJ09aJFhGrx1A19na5mjQa4ZUgcUjhGKYlddXhl6mA8Mj4JszwM\nK40Gbo325kGxzk5v4Y393HIi/nxjPzx4dW9GD5qDu0b2wGvThrhtc/XYdNOF4s0ZQ3k9bq6NokuY\nFuEhWowUOBsnuu0l6tp4XEeCYvO0praFf9yMqrZRWXiIFlqNBiFajdMz40iabzJZnfuHtP22d0xr\no4lj8ASumDkMI3tHo0/baNeR9+W4Hsc1aKCB3d4aevtHW56Yq+EwfXh8h1FnfGSYs5G9NWsY/nJj\nv7ZjdeStWVdgyS0DsfkPo9x05zjH/aN7Od30rnr8x21DkHpPMhZPHugMXUwdFo8+XXXOc3uOyF0/\njkmMxvh+XdEjuvWc3SNCkdIrGoPjuiA9Pb2DnCEajTOvgw+NgFfRVb2jMTu5BzbNHeU2Sn3u5v74\n602txkoXl45qeI9ILLyhH4YlRCI8RIt196U4v/vLjf3w+X0pHV6iHWDwUIRoNegZFe4MRa1/cKSb\nVwNo1bHjiqYNi3MOWhzP/P1jermlLtwytN1YiIsMRWJXHXYsuNqt33F4n969Yzhmj0jAgmvdPY9C\n8mYGRVp593EwomfrudfOSe7gTbKj1fiMb/OI3z48nvH83SJCnf1VXGSoM1TLxPVt5/g/Fs8T2/U5\nnlmtVuM0wm4e1Nr/s4UhHfTrxvx8urYDx7UKScPoHhHGKqudxd1lR8dwHR+OvF/XPs/hVY1t67uu\n79+VN9zKJNGg2AiM8/B8PjOxH8YmxmD6Fe0DCw3gZtAMbxuMMfWdrlydFOMWRowM0+KOlB7OtvjP\nGUMw2mOw4Xo/J/Tv5vSAdYsIdToQru3bFfeN7oWwEC2i2/rm3jE6t0ElADziYvC5Di4m9O+G3jE6\nZz8xJL6L0xi8ui1F44O72m2DEI3daQyz4cgTnjCgG67sGYXVdwzHyF5RsNvb31uesOUc86Gxsz1h\nLlRVVUGj0SA+Xnho7tKlS9izZw9CQ1tvqtlsxq233oqBAwf6tC8A7N69W7AcBEEQBEEQgWbKlCkd\ntgmaCpaQID6nIzExEVVVVXjmmWdgt9uxatUqJCYm+rwvwHwhBEEQBEEQakK22gw6nQ42mw16vR42\nmw1WqxXh4czuOjH7EgRBEARBBAOCwpHeUlBQgG+//RZarRZz5sxB376tSY8HDx6ETqfD2LFjefcl\nCIIgCIIIRmQ1wgiCIAiCIAhmfC81TRAEQRAEQYjGf+v1EEFHcXExNmzYAAC8IeR3330XpaWlCA8P\nx6RJkzB58mQ/Sdm5OXfuHD777DMkJyfjoYce4txXjD4JaRGjJ2pLgWHt2rUoLCxEVFQUHn74YWc5\nJSaoLQUOMXpSQlsiI4zwmtTUVDzxxBMAgI8++giLFi1i3Vej0eCZZ57xaqYt4T1msxl33nknzp8/\nz7uvGH0S0iJGT9SWAsP8+fMBAEeOHMGuXbswZ84c1n2pLQUOMXpSQluicCThFd4U2KX0Q/8zatQo\nREfzF+P1pWAy4TtC9eSA2lLgiI6OhsViYf2e2pIy4NOTg0C3JfKEEV5RVlaGhIQEpKamAgDi4uJQ\nWlrKWmC3S5cuePvtt9GvXz/87ne/o1G8whCrTyJwUFsKLPv378ftt9/O+j21JWXApydAGW2JjDDC\nK8QW2HW4iDMzM7Fp0yY88sgj/hKVEIBYfRKBg9pS4Dh27BiSkpKQlMS8uD1AbUkJCNEToIy2ROFI\nwitcC+w2NzcLLrCr0+mg03m3gj3hHULc7d7qk5AOsWERakv+JTc3F+fPn+f1rlBbCixC9eRKINsS\n1QkjvEZMMd4PP/wQlZWViIuLw4MPPoju3bsHSuxOxffff4+TJ0+irq4OycnJePTRRwFQwWSlIUZP\n1JYCw1NPPYX4+HhotVr079/f6UWhtqQsxOhJCW2JjDCCIAiCIIgAQOFIgiAIgiCIAEBGGEEQBEEQ\nRACg2ZEEQRAEQRAsiFnR4ujRo9i+fTvCwsJw9913Y+jQoZz7kyeMIAiCIAiCBceKFkLYtGkTXnjh\nBTz++OPOpau4IE8YQRCyotfrsXbtWuTk5ECr1aJnz55YtGgRNBoNNmzYgIiICMyePTvQYiqWyspK\nbNy4EXv37sVHH30kqrI+QRC+M2rUKGRlZblty87ORlpaGiwWC2bPno2RI0cCAAYNGoTs7GzU1dXx\nesEAMsIIgpCZ9evXo2fPnliwYAF0Oh3q6uqg0WgCLZZqyM7Oxrhx45CZmRloUQiCaGPjxo14+umn\nER4ejhUrVjiNsDFjxmDz5s0wm8245557eI9DRhhBELKSmZmJN954w1kM0bMWT1NTE7799ltkZGRg\nxIgRbjkX7777LgYMGIAzZ86gpqYGd9xxB2688UYAQF5eHn788UeUlZUhOTkZt99+O7p3746zZ89i\n06ZNCAsLQ2hoKEaMGIE9e/Zg8eLF6NGjB8xmM3bu3ImjR49Cp9NhypQpuPbaa53n3Lt3L/bt2weT\nyYSoqCi3xZe9PafdbseuXbtw5MgRhIaGYurUqW71iri4+eabAcC5DA5BEIHFYDAgLy8PK1asAAA0\nNDSgtrYWWq0WO3bswJIlS2Cz2bBs2TK8/PLL0GrZM7/ICCMIQjaqqqoQEhLCWY06MzMTjz32GO66\n6y48/vjjuPPOO91CbsePH8eiRYvQpUsXt9+tXr0aTz/9NPr374/t27dj/fr1+NOf/gSgNYT3r3/9\nC48++iimTp2KK6+8EllZWZg0aRL279+PgoICLFmyBI2NjXjjjTcwePBgxMfHw2Aw4IsvvsB///tf\nxirn3p4zKysLeXl5ePHFF2E0GrFs2TKMGjUKoaHUBROEGnAtqRoREeEsqhwTE+Pc3tDQ4LafkDKs\n1AMQBCEbGo2GtyOaMGEC+vXrBwDo06cPKisrnUaYRqPBbbfd1sEAy8nJQXx8PPr37w8AuPXWW/Hn\nP/8ZVqsVAJCUlISIiAjExMRg0KBBOH/+PBoaGgC0Vs6+++67ERoaitjYWEyYMAEHDhzA7NmzERER\ngVGjRuHNN9/EddddhxtuuAFdu3b1+ZwHDhxAbm4u/r+9+3c9J47jAP4kgyT5UWzCyEAmtxmUgQFR\nbAZZMBokC5PyLyh/gLLYsMnmHzAxWZCko0vuO3wj36/Pl0+k+/Tt+Ziuu9e9390N1/Pe9+Ndr9cB\nAKfTCbPZDG63+70TTEQfdzujxeFwQD6fRyKRQKfTwW63g81mQy6Xg8FgQCAQQKvVgkqlQjQafTgK\nBjCEEdEHWSwWyLIMURSh0+m+rLkNad99V+zvC5ssy1CpVA/3v2xTq9V3wfC2vUKhgO12i/F4jGq1\nilqtBqvV+lKfF5fHnuFw+GktEf0ssVgMsVjsj3VOpxOlUumuNhQKIRQKfbtt/qKCiD7K6/Wi1+vh\neDxClmUsFou323S5XFiv15jP55BlGYPBAD6f7+Fd5yV4CYKA4XAISZKw2WwwmUwgCMK17nQ6wWg0\nIhKJwGQyYb/fv9znRTAYxGg0wmq1AgCcz+eXjpuzzBH9XzgSRkQflUwm0el0UKlUoNfr4XA4kMlk\nriNjz0aS/rW9WCyi3+9juVzC4/EglUrd1X+1LAgC9vv99WOBdDoNs9kM4HfIaTabkCQJarUafr8f\nLpfr7T7tdjvi8Tja7TZEUYRGo0G5XIZWq31y9oBut4vpdIrtdotGowG3241sNvt0PyL6+TiBNxER\nEZEC+DiSiIiISAEMYUREREQKYAgjIiIiUgBDGBEREZECGMKIiIiIFMAQRkRERKSAX/NlKYSUrkFw\nAAAAAElFTkSuQmCC\n"
}
],
"prompt_number": 172
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This figure show the effect that more strigent filtering has on Gst along Chromosome 1. Most of the 'fixed' windows in the first panel are actually false postitives."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import statsmodels.api as sm # recommended import according to the docs\n",
"import matplotlib.pyplot as plt\n",
"\n",
"sample = df[\"MAR.CAP.Gst_est\"].values\n",
"sample = sample[~np.isnan(sample)]\n",
"\n",
"ecdf = sm.distributions.ECDF(sample)\n",
"\n",
"x = np.linspace(min(sample), max(sample))\n",
"y = 1 - ecdf(x)\n",
"plt.step(x, y)\n",
"xlabel('Gst - for whole dataset')\n",
"ylabel('CDF')\n",
"pylab.axvline(0.25686137,color='black', linestyle=\"--\")\n",
"pylab.axvline(0.27938072,color='black', linestyle=\"-.\")\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 170,
"text": [
"<matplotlib.lines.Line2D at 0x16d288790>"
]
},
{
"output_type": "display_data",
"png": 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5ZN4eyhkMqNoLF0Bbzeh0Op1+L2KqVq9eHYsWLer3MuiTJRfdEN984zP7vQwA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\nRK5CYII=\n"
}
],
"prompt_number": 170
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This figure shows Gst as a **cumulative distribution function**. I've updated the plot to include the approximate top 5% (dashed) and the top 1% (dash-dot) Gst values. Bascially, this is a nice way of showing that only a very small proportion of our data has high Gst values. Note that I should probably set the negative Gst values to zero.\n",
"\n",
"\n",
"*Cumulative distribution function (CDF), or just distribution function, \n",
"describes the probability that a real-valued random variable X \n",
"with a given probability distribution will be found at a value \n",
"less than or equal to x.*"
]
}
],
"metadata": {}
}
]
}
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