{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# PTM Biological Replicates\n", "We see systematic differences in PTM ratios in the cell lines (see the first figure below). The systematic differences in PTM distributions can be caused by a number of factors:\n", "* 'interesting' differences in the biology of the cell lines\n", "* 'uninteresting' differences in the incorporation of tags in the cell lines \n", "* 'uninteresting' differences in the population of the cell lines \n", "Generally, we expect biological signals to be non-systematic and non-directional - e.g. if we measure enough things the half will probably go up and half will go down canceling out any systematic directional change. \n", "\n", "Out of the 45 cancer cell lines measurements in the PTM data, three measurements are of duplicate cell lines (run in different plexes):\n", "* H1437 (measured in plexes 8 and 9)\n", "* H209 (measured in plexes 1 and 9)\n", "* H2073 (measured in plexes 6 and 9)\n", "\n", "These biological replicates can be used to investigate the systematic differences we observe. For instance we expect that if the systematic differences are 'interesting' differences in the biology of the cell lines then we would expect repeated measurements of the same cell line (biological replicates) to show the same systematic difference. If biological replicates do not show the same systematic difference then we expect that the systematic difference is not biological in nature and is more likely caused by some 'uninteresting' differences in tag-incorporation or cell number. " ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# imports and plotting defaults\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "import matplotlib\n", "matplotlib.style.use('ggplot')\n", "from copy import deepcopy\n", "\n", "# use clustergrammer module to load/process (source code in clustergrammer directory)\n", "from clustergrammer import Network" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_cl_boxplot_with_missing_data(inst_df, ylim=5):\n", " '''\n", " Make a box plot of the cell lines where the cell lines are ranked based \n", " on their average PTM levels\n", " '''\n", " print(inst_df.shape)\n", " # get the order of the cell lines based on their mean \n", " sorter = inst_df.mean().sort_values().index.tolist()\n", " # reorder based on ascending mean values\n", " sort_df = inst_df[sorter]\n", " # box plot of PTM values ordered based on increasing mean \n", " sort_df.plot(kind='box', figsize=(10,5), rot=90, ylim=(-ylim, ylim))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Systematic Differences are not Reproducible Under Biological Repeats\n", "Below is a box plot of the 8,468 unique PTM measurements in all 45 measurements (note that each cell line has at most ~4000 measurements), where the rows (PTMs) have been Z-scored. " ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filename = '../lung_cellline_3_1_16/lung_cl_all_ptm/all_ptm_ratios.tsv'\n", "net = deepcopy(Network())\n", "net.load_file(filename)\n", "net.normalize(axis='row', norm_type='zscore')\n", "tmp_df = net.dat_to_df()\n", "inst_df = tmp_df['mat']" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(8468, 45)\n" ] }, { "data": { "image/png": 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X9u8FC8axebP7vEiVudxzT/rfJC0tzTh4ML8vmpsh7ZkR7P7VKozUNbh6j4vl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\nQgED0NBgLjk5GZ6enmQwRzCHYo0gCML04UpbzxUdRMuGEgoYAIFAIGcw5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cl_boxplot_with_missing_data(inst_df, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that there is a considerable difference in the distributions of PTM ratios in these cell lines. PTM ratios in DMS153 are on average 2 standard deviations below the average value in all cell lines and PTM ratios in H661 are almost 2 standard deviations above. \n", "\n", "We can also see that the three biological replicate cell lines: H1437, H2073, and H209. If the systematic differences were biological in nature we would expect that the biological replicates would show a similar systematic difference. However, we see that for cell lines H1437 and H2073 we have one measurement with systematically low ratios and one measurement with systematically high ratios (the cell line H209 has similar ratios). This leads us to believe that the systematic differences are not biological in nature since they are not reproducible in biological repeats. \n", "\n", "We could argue that we can not safely reach any conclusions using this dataset since it contains a significant amount of missing data. To address this concern, we will repeat the same procedure using only PTMs that are measured in all cell lines (e.g. have no missing values) below. " ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filename = '../lung_cellline_3_1_16/lung_cl_all_ptm/all_ptm_ratios.tsv'\n", "net = deepcopy(Network())\n", "net.load_file(filename)\n", "net.filter_threshold('row', threshold=0, num_occur=45)\n", "net.normalize(axis='row', norm_type='zscore')\n", "tmp_df = net.dat_to_df()\n", "inst_df = tmp_df['mat']" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(865, 45)\n" ] }, { "data": { "image/png": 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yZtavd+h8lUiLaWxEov1i5Bob5eZlglSkw3LERAuFaVxB7IoLx7mi+5uIL7/Z\nPB1M4nxVkgomhpLmmVrqXMRwMJpFcUPKYsvS1lvQDJgVNEt9WUkT5doBTSlYmuZSiGu1P9u3j/s+\nX7WaEkikxTiXUkbUInK+akkFI6TGUNxYxLsIOH5cxyIAiL6lrVYkRKMt4ekVDB0depqj2nQmKsRW\n7U9YmJxrV189hqNHZ75adu9OoKdnrOjvhJBooCYVzDW0RIEdheLGIl5nop6eVuzbF8yZKOp4j0l7\ne3C3Jk1IiMYHHmhQITw1RSlOnbLzvK43NjU5X8PolRP15qikBriWgqUFJalgriEVBXaxXkYCihtC\nIoZEY1PXsFW07hXjbW1uiXEtaBH0RC+qUrAotEit0FIvoywSRXFDAOitYYjTRVYNUvVQEnjP11wu\neHNUiXkAduahmdbW4GYPFPSKcanwXWgeqoSWEtSktylbhLuCtnpEihtF2HQm8i7C1q7VYWnb1GR7\nBsGQEI3eMd56iwtoKcvwoLz0UiP27Sv+kiy83d4+Hqn3JoxNjnvuGRebnwu4Zr/sUuG7lnk4iZL0\nNm2LcBIOFDeKuPZaPUUMWnZKFy4MOIDlHUHvYnDz5iV48MFoXlQ11UOFEUUyqevwHpOOjminpYVx\nvpo4BDot6CXsl6Wua1oiJoRECOfqXByMZlHcQE+xqiaHMlca70nuxGlxKZMo0DYlk8ngwIEDU7da\n0d/fn/9bd3c3mptr09QsjFoXiboOplHqRU1ajABS1zVGKvQicb66dM4D0NM8U0udixAuRrMobsBi\n1XLY6ulGe2zdHDhwAL29vVO33in4Gejr68OKFStqMo8wIjdaopWAng0XW4Ri9S2QFuNaShlRjEQa\nl5JUMCmca55Z50xMAOmFnYiPJIATk+nLuYmzGB4uSGUeSSC7sBPJCX+CheIGehY1b7xhbx7eNJBM\nxk4aiHdHvrs72mk+Xm65JXhdVS54fbYx3d3d6OvrQ25sFA/93SBuv+MHiDU25f9WKzSlyBWyaJHM\nmyMhpO+6qwFbtwYbQyKC65RQk0gpI4QQgnfOJLDnmnuBfgD970z/1nOvRcA19+L6M0NY5GNsihuL\neAXF/v1xa3nlWntTuJIeN82LL/o/Jt7zZGzMXv1Bc3MzVqxYgdyhV/FA7MOIn7cdMQU7gnPn+n9M\nGHUdo6M6NkoA4OmnE4HFzc9/HjzPTkKoLVtmUdGTSOBcCpYWtKSCOYZYFDjC9TIL5k5g1d6tiH/i\nbmBpOwAmMnOLAAAgAElEQVSgpaUFw8PDM3d68yiyD9+HBSvv9DV2XYobLcWq3ue5/HJ7tRTeYzI6\nGvyYRD2NKwznKJMFp/d52tvtnSdasXVd954j6bRDhe/Qs7lw5510XCMVUJSC5ZLQYipYSAhFgaNc\nL5NIAC2nDiE+fwKx1KQcSaXmIJaYkSa5UxPInjqEeMLf2HUpbrQyMmJ7BvqIWdwId8npzHWamvzv\n7EvUdUgJT619prRg4rhGaoNLhe9i81AktAipBdrqEetS3IRSrGqAd0EzMWFv11dLFMlbKJ7N6jEU\nsIX3mORyPCZe4nE7KliqmaiEkJYw4/COMTrqf4wwhNoHP9iIxx/39RC9uGa/7FLhu5Z5uIiS9DZt\ni3BnUFaPWJfiRgveL/mODj3pRhI1DCaLGm+heFdXsEJx2zuCEgvOq68ew9GjMx/V3bsT6OkZK/p7\nvSORPtXcHO26Du9np6enFfv2+fvsSJxr69ZlcOONJ/KW4ZnMStx9988BmNuF/+M/uuOxLWG/LHVd\ns319JPWDmvQ2iUV4hOtc6gWKG9grVvWKgWxWT76+yTGRiIiJ1/4I7sSZOJ1JLDhZc1NKGLUuix3Z\nSA+C1LlWbBn+ffT23gzA3C48q6e/sQ6krmuMVJAIoaV5ZpTrXMrhYjSL4gbAtdfym9OLrWOieSGv\nJe/fphW0y7S1BRf0bW0y56uEZbhN8pbhg0fwhc8uwD33P4RYa0dN7cJLkEiLcS2ljOhF4nxVkgom\nhmPNM9WgLKVMAoobAEeO2MnX9y6MOjv1LORtHRPXkUifsmmyoIUwRIVJnylvBAmQib5KCOn16/0L\nJKkaorxleHIePtrZhxXLe31Zhn/kIym88EJhmlQMXV2t+Vvvec9ZPPGEvwMkkRYjkVJGSDWInK9a\nUsEIACB3bAA4M3n9zA0eKfo/z9xmxJYsq/XUnIPixiLehcT4uJ60NBPCsNh2LUph4uolteAUxfKO\noISokOgz9eSTzZ5FOPDTn87cHh2Ftc/w9u3jvgVSGMYiNy/7BwC9Fe9XyCWXjONXv5rJZz9+PIFk\nMlv0d0JI+GhJBYs6uWMDyG75ZOnvH7kf3lVBfNs3KXACQnFjES0OZVJ4X8/atUsD19xI7YRrwZar\nlzQu7Ah6z6WLL/b/+fNGD9raWnHw4KDI/DRgYixShGHhrbdWra0tmLEIqQNcS8HSAlPBZJiK2MQ+\n/lnEWjsAAMmWJNLDM9e53OAR5B65P3/farBZL1MxEmUxClWX4kZrT4lLLrEXpgjjmAwMuLGQt00Y\n6Yt33dUQuHu9FDt2xH03e33ppUbs21e8YC683d4+7vt8NUk3DiN9yiVMC29d3+Qg8qjacKHQUoWm\nRXistSOfotuYSpWcr75XgZbqZaqNRNmKQtWluNHanNGkoFkKiagLKUUiVS+M9MWnn06oETc7dyZ8\nixsJy2KJBbRrkZswUktN0GwsEhTn7JddKnwXmocqoaUEW+lt2hfhkaVCJMokCiVJXYobrWhySJKI\nupjYSYexIx91NPdDksCkkF+i1iUsp7Moo3WT46KLHCq+c8x+2aXCdy3zcBJb6W3KF+G2kIpmnSsS\nZfOqTXGjCAmHJJMUn3KYuHpJFGiL59pb3hGU6P3jJe5OP0MAZkL61lszSCQmMDIyAgDYu/dC9PS8\nDQCYP38+NmwYrTiGVEpZJpPJN6xsbFyK/v5+AP4aVhaOAQDJZBLpdNr3ONK89pq91NLCY9LRMTd/\nXAG7x0QFUtc1LRETQqohQPNMyUV41PvC1EM0i+IGuiImQTFJ8SmHSfqmhEGCdK69CztxEmlpW7Yk\n8cwzM2McPx7DVVctyd++6aZMkagME4nUp3XrMrj00p8VNIrMYu/eyddTbaPIW2/NoKlp5vbu3XNx\nww1ni56jGoobVv49ens/4GsepWMUY9r4UgIJ63JTio/Jh9Hb+93830yOiURajJaUMqnrmgvXR1cR\nOV8dczpT0zwz6n1h6iCaRXGjCKmoiwneBWcmEzzX3mRh5HqqkEmqnoRo9EbEenpasW+fHfcpqWjW\ndKNIAOjtRf7nahtFStV1FM5jMuLibx7eMXKDR5B9+H7EP/FZ640vA7ulBaD0uG4q+ptvJNJiHEsp\nI4qROF/pdEbOgdaUMgkobgA88ECDNVFRiFTUxQTvQq+rK7ioyGYr38eL6y5Jd97pvz/Hrl3NeOqp\npnwKVjodw/r1kx/d6RSsWh+TIDuCUkXr040iAeD882EtupFvWDl0AnN//lOcMTgmha8ll5yHbMs8\nxJcv99X4UgLve5NO2/v85Y/rwGHEHvpaZFNACIk0AVLBiDyFtTKAffc3rVDcINqWxVIWzt5xRkft\nuHppNhSQiKyZ1FWVpmANYu/eydoQaylLAXYEw6hD+trXzNIDCus6WlrON6qXycNd0nCIegoIqQmu\npWBpQU0qGJm1VgZwq15GAoobIWyllGm1tTZFwuI3LGxG1qZTdHKDR/Df/tt/4hvfeChQytL69Xrq\nzExS9QrJDZ3AB/E9nBnyv6iZra7DZp1LEArFmokpgbTwjHrhLYkQijYXKLRIKJSplQHcq5eRoC7F\nTRi9HEwWvmE0zjSx1S33XCZ1HRKpba7X3JiST9FZfhku+7/Ox4rfnxeooHn79vHAznxSBO7vFGBR\nUygaJ+tcgolG28xmTGBNrDHq4jwuFb6LzUOR0FID09vEKKyVAdyrl5GgLsWNFsKIukil2JmsRSRS\n21wnaIQv1jQHGz82x43mf1PYdCvMi0aLdS4lBFgElBbhz0RuTAgaVSNlcM1+2aXCdy3zcJCop7dV\n7AsDsNZFEXUpbsLI+deC1GLk7NnK9/HiPa7d3faPq2Thu0RkTSK1TaIfkiZcez1BCbIIKDQmSKVS\ngRcSJgYY5NxI2C9LRRi0REwI0Uy1fWEA1rpooS7FjQRhLHwlCJziM4VEo0iT6LO3HwsQsB+LYOF7\n1OuZCPGLU8LTpbQYqQgDIxV6kThfXTrnYbGGr0JfGIC1LkaMTu6i5w6/mv/V2NDbyHmOqwkUN5Dp\nPSKx8DVJzwlLZEmIG5MeGZoNBUzrmUgEcGwREISgpgRaEUmLcS2ljKhF4nyNeipYCZZr+M7VFwZg\nrYtfcm8enfz/8W/kj93QbHee6++aS3EDmdQLiYWvqU2whMjyRkxGR4N3sDcRjZqtoF97zf97rDXC\nFxhBMWCzee00IosARwSSOlOClsWYd+ttONOyuPbP7UEipYwQQggQe/e1k/8vbQea5uSjX143OJNa\nJoobIUwWvpqQiJh4F/L798d9L+Q1R25M0FrfFdjYQHBH0KbFtiSadkmDpG9ImxIEJbYohfkbP46z\nCo4rUYwjmwvaoJ07CYvYwiRi17+/6Hc5lLrBmRCauPn1r3+NH/zgBzh48CCGhobwZ3/2Z1i5cmVY\nTxcIVxZXQZCwYJaIImm2gjZJs9OKU+c8FzWlBEjfyDvIDRxG7KGvBVvUKIq6ELfRtLng1DWJdu4k\ngoQmbkZHR9HV1YX3ve99uO+++xCL6Y1sSKSUmS58pfPbbdrqSuCN/gD27KTD6IcUFFfcjQrP++Hh\nuejv7wdgdt6rWtS4hMCihlGXOsClwnehefCaRIhdQhM37373u/Hud787rOFFMekNI7Xwlc5vN3U3\n0iQqXGLXrmY89VQTRkZGAEyeJ+vXT37s5s+fjw0bRv0dVwfcjXbtasbjjzdg795pv/EUensnf77m\nmoX40z9t5LlGnMWVDYppXCp81zIPF2F6G6klka+5Makd0LQjry2/XZIzZ/w/RjwtLcBOnES9zLp1\nGVx66c8KBOz3sXfvzQBqW6Ctydhg3boMbrwxgwMHJhuRbtt2Alu2TP7c3X0q0o5cEnAR4DgSGxRS\nkQ4tERPiPgaR4MLGmcAszTPZOJOUIfLixqR2QGrRKlEoLt10zxTv62lvD17r0t/v309aOoKkYSdu\nWsDmTg3ji3/Zjb/60g7EFrbUVMBq69lTeN63tLTYceHSCnPcSQWkrmsaro+ElGO2xplAafNMNs4k\nXiIvbkzQFLnRSk7AsN0kcqMZE2troKBA+9CrmD90HCvaWgM7gZggWedCSNSQiIi5llJG9CJyvkY5\nClymcSZQ3DyTjTPtMTEBpBd2Ij6SAE5MtlPJTZzF8PBUa5WRBLILO5Gc8CE0BCPJKsTNc889hz17\n9hT9bsmSJdi0aROSySRy51hpx2JxpFL+vmT+63+d/DfNxRfn8IMfFN6jeepf9cybB9/z8NLY2Ght\njB074ti5M1Hwmxg2b57pc3PLLRPYuDHra8zTp/0fE+97s2BB8PfG9JicPn0ar7zySv72hg0ZHDr0\nFgBg+fLlmDdvnq/xxobexs3LnkSy5VY0Gr7PY0NvYwiTF3i/Y+zbt68oPa63dzI97vnnn0dPT4/v\nuUicrwDwX/5LzPpnZ/zIQZz84meQvPuLaOjosjYPINh7rG0MIPgxyZ09CwweweLUhYjNmWM8ztjQ\n2xg6+joWzWsOdkyefBSLVq6O/HGVHIdjyI8jdr4ajDE+cAS5M6cnfz51Eu8AmHfqJBqG3s7fJzZ3\nHhqWdcwywixzQfXn/fT9W951BRovWZ7/fWNjIxqnotpjLcmKY5Z73sL3ppp5VRqjmnHCGiOM11PN\nGMcOv40919wL9APof2fqt+8U3GMRcM296G0Yq/5zkEqh8e92YOwcWQvT5mSPPfYYjh07VvS3VatW\nYfXq1QCUiJvVq1fnJ+QlnU4XvdDS2oEYPvShmfubRF1aW5cGDssvWhR8DIm0NNMxRkaaMTpaKBoS\nGB0dK/h7BidOnPu4ehuBjo/H0NExo8CraQTqfX8nJoK/v6bHpL+/v8TsYevWyf9N6mVyw2ncvOwf\nkB7uNW4CmJvasUoPp32PceGFF06mxw0ewU/++p/xvr94CLHWDlx44YW+j4+ITfAUGzbYO++nyR0/\njuyRgxg+fhyx+S1mYwgdkyDvcX4MJDDv1tuQRsLKuVZI4Pfm0KvIbrsL8S3bA0U8RY6rkjEAuTRm\nm987ro4hMY6tc222dLB3vv7Fkt/5SQfzO5fZ7l94XKsZs9x9pMeoZpzxE2mkF3bi1MAIkJ3cJG1p\nacHw8PDMnd4cQXZhJ3In0mhYVDqG1DGpOJcK8wCA2Hgaq/Y+gPgn7gaWtpcZ4yiyD9+H2Mo7fX0O\nKn1uGhsbccEFF2DTpk3nHCc0cXPmzBm8+eab+dvHjh3D66+/jgULFuD88883HjeM2oG2tuA5WBJj\nSGCz2/u2beki8dLe3oqXXz52jkeU4n1/Ozrs9bkpNHvIDR5B9uH7Ef/EZIg8ioYP+fS45Dxc0f1N\nxJffbL5YZF1IKYqOiYgFs0CPmtzoWYwffg25pmbEmsyjLoRUItIpWJookw5WmAoGMB3MhHfOJCpE\nOoDpaMf1Z4awqMwY5VLBAP/pYJXncu55AEAiAbScOoT4/AnEUpPPlErNQSwx+XPu1ASypw4hnphl\ngJAJTdy8+uqr+OIXZ5T+448/DgC44YYbcMcdd4g9j0SPGoneMEHnIbUIeOCBBiNxI+FS5o265HLB\na5ni/j0JxCgses8l5yHbMg/x5cut1MvkobtRCVzUhIOIQBo8ipNTURfY/NwQ91G0ueDCNamwS3xj\nKlUSBai0navF6SyU2hADFsydwKq9W2ePdAD5aMeClXeWHaO8KAH8CpOKc6kwjygQ2nt5xRVXYMeO\nHWENn8ekR40Xk94w3oX8/v3xYAt5oUWA6fHQ2ufGprjRiGvuRiKLAEWLGkIq4tgGhUuF72LzqPNr\nkianM4kohQSVIh1A5WhHOVEC+Bcm2qMuEqiouQmCqYNVoXOUt79MNc5R3sX+5ZfbS5+SQCJyI5FS\n5hVZo6M6RJZTaFpc1fkioCwC6WBEL65tUIh8hrVcB7TMI+oocjqTiFJUjP4ANYkAlRMlgHvCRILI\nixvTWpcDBw6UFIsD5o0VbdkeS9lae80AgBiuumrGLa1aM4CnnmrCyMgIACCbjWH9+slTbP78+diw\nYbSquUxMTOTHAObmhef8+fMrPtaL2E6chCBQIiqcW1w5hkg6GFGTFhMGUtc1LRETMknhOWt6vkqM\nIUVhahtQmt5Wi0pliSiFRL0MqS2REzdSndYLi8W9kRuTeUQ9wiBlBnDppT8rEI0nsXfvpECqVjSW\njjGIvXtbfY1RhNBOnIQgoKggpDaElhajZINCLMLASIUaZjtn/ZyvEmOQUiTqZUhtiZy4kXJLyztH\nGdq3aklL886jp8dsHlJmAIWi8dOfbsDf/m1f/vfVMj1GbvAI/svmBL7z4EORdSgjEYGpYG4RUloM\nNyhIaFRwKavqfJUYg5QgUS9DKiMZSY6cuBHHcOfKKwbS6WhHbtaty+DGG0/k65D+6Z/W4O67fwrA\nXwf7Qoex3/qtZqMUv0LL4vbm41hh26GMlOKYGNBinSyFUxbMre1YvP1xDDf5a94L6EiLIeFRMQUL\niFzq4blcyqo9XyXGIKTmCEaSKW4MkYqYSGNqsAB465Bezf9sWockYbH9/1zybQCltVHELqwLKUXV\nMRFwX9QikGJNc9CwtDVQw0viHtWmYAHhp2G5XN9FSBSJvLiRWEBLEERUSHLnneOV7zQLhelgX/js\n67jn/mDpYCYW215uXvYPoLgh50RRxMQpJOzpA0RdiE6kFvKBC9+Fmk0Gjf5osj0mhEwSeXEjsYCW\nwNS1LY/QIiDI8ShMB/toZx9WLO9lOpgynHM3EhAmqiImpAhGXdxCaiEvWfgepNmkSPRHke0xIWSS\nyIsbLQSNIGlbBDBiohTH3I0oTErRkg5GwsF0g0KiviRw1EVqIa+l8F0o+gOwvosQTURe3OzYEcea\nNbZnoSeCpIXc0AmM7P4ecitvQGxRqvIDwoIpSyU4F/1xDYl0MKIXgw0KiQiDZPqU1EJeS+F7kOgP\nCYdyjTMBT/PMGjTOJNEk8ufDzp0JFeLGKSRS5IZP4vSTjyJ+2e8ApuJGoKeEVGRAQhCoERWORX8I\ncR6JCAPTp0iEKN84EyhunsnGmaQ8kRc3geHOfglaUuRU9ZSQEAQUFWphKhipBtsbFBIRBqZPkShQ\nrnEm4GmeycaZbiG4Hq97cRNkZz+TyeT7wiSTSaTTk7tffvrCEBJFnBMDDlknu4aaFFeAGxSE1Ihy\njTOB4uaZbJzpFpI1uJETN97mmbt3J6w1zyzuCzODaV8YQiID60JK0XRMXLJglkhxJYQQUjdETtx4\nxcvmzUvw4IN20pYK+8JkH74f8U98NlBfGEKIfxgxKUUktVRAIKmKuhBCCKkLIiduNFHYFybbMg/x\n5cuN+8JwEUCqwrEaMRFhoili4hAiAolRFwACDSsJIYRUDcWNFgIsAmar/QFY/+MazvWFoTAhjiPZ\nsJIQQlQwehYAkDv8av5XY0NvI1fgvGiTyIuboM0zXWC22h/AYv2PgI2zBExZKoNj0R/ncKlehuhp\nWElIFZTrL1PUWwaov/4yFRbygP3FfK3JvXl08v/Hv5HfpBkqd8e5dr7HIn9esnlmQe3PqWE0/eoX\nGL3idxFb2JL/m18kUuTU2DhLRQYkBIESUeFc9McxtFixk0mkUsq0NKwk7lJRmFQhSsr3l3nHc69z\n95dxrQFn1Qt5INzFfBmRBdiJmMTefe3k/0vbgaY5+U2aoj5aFtNttZ9ToePCzn6+9ufQq8g++mPE\n37/WuPYHgJo8eds9JQqREAQUFYREC6aUkShRWZhUbnpZrr9MUW8ZoGJ/GdcacFa1kAdCX8yXE1mA\nnYhJbGESsevfX/S7HEr7aPlBcj0eeXGzY0cca9YEGEBiZ59pJOHAnhKkVvAzrBebKa5MKSM1QiLq\nUlGYVNH0slx/mcLeMkDl/jKuNeAMYyFvNA+PyAKgLmISCMEa3MiLm507E8HEjQBMIyF1h2NiQIt1\nshQuuS9qSHFlShkJG4moSyVhUquml2zAGQ7lRBZgILSUmwFIEHlxQwipPRT0pag6JgKppSICSYmx\nCCHakYi6EFIN2s0AJKC40QIXAaQKXKgRE0dRxMQpBASShqgLIWEiVTyvJepC3Ee7GYAEkRM3u3Y1\nY9eumUXM7t0JbNo088W7bl0G69ZFL/+ZiwBSFa71hREQJqoiJoSQusK14nnnqIMULL9oqSEKk8iJ\nG6942bx5CR58kIsaQqpFU/SHwqQUl+plCHEd14rnXUNNCpbrvXKUZR9FTtyQcyB1cgmMo8bGWShl\nSUIQqBEVrkV/XEOJFTshYSHhDCbRbFJiDBbP6yaUFCyDNZKaXjkhoS37iOLGIaROLpFxJGycBZpe\nikUGJAQBRQUhhIg4g0k0m5QYg+gmjBQskzVSaL1ylEVMtBB5cXPLLRPBBhDY2WcaSTiw6SWpFfwM\nE1I7JJzBJJpNSoxBSDWEVeeiLWISCEFzoLjAdKyycWM20ONjTXPQcNElwdKEptJIMHwy0FwIiQq5\noRMY2fEIckMOXFABkc+wqmMytZsHB3bzcgOHceIzf4LcwGHbUyFCTKdytcyfwKJUAxalGnDeBXPy\nP7fMn0DLqUNInCONq9IY1YwjMQYhRAaR9fgUkY/cEEIswLqQUhQdE5HdPC3pDhIprkQEKdtjQogi\ntFzrBeG1hxASaZhSFg4SAkmNsQgRgbbHpGaUcRcDaOMcBk6ltk0ReXGzY0cca9bYnkVwuAggVeFY\nw0oRYaIoYkI8MOriFLQ9JrWinLsYYMnGmUSOyIubnTsTTogbLgJINTjXF4bCpBQHUwRIMCQsiyWg\n7TGpFV53MQDWbJxJ9Ii8uCFKEbBxloApS2VwLPrjGi6mCJBg0LKY1Bvl3MUAOzbOoeCYyNKWfRR5\ntzQyg5SrkMQ40zbOQQRFvunlVO6tEVJOdlOCAK3tle8b5hgCSDqSEELCZzod7PoVQ7h+zQJcv2YB\nPvh/t+V/vn7NAly/Ygir9m7FgrkB2yMQQs6JyBppSmRpEAIiTGUfQUn2UeQiN7t2NWPXrpkd5927\nE9i0aWYBvW5dBuvWZaoeT2RnX4sCl0pt05Iip6jppUQ6mHMpZS6h5TNMAAC5YwPAmcnr+HTRcEnx\nsN90lAhTLh2sMBUMYDoYITVDyxoJ+iImQZDMtImcuPGKl56eVjz2WIDFokDOv5owJyG1wjEx4JR1\ncsTJHRtAdssnS3//yP1FhcUAEN/2zboROEGhjTMhDqJIaAVGsAaX1y9CiG8o6EvRdExs7uYFjrpM\nPbawaDjZkkR6yv51erzcI/fn76uZimYANRIUtHGuA8rYJ1uxTqaNM7EMxQ0hJNowYlKKwG6eiUCS\njLoUFg03plIl6Zze8bRS2QygNoKCNs7uU84+2YZ1Mm2co4VLqW3TRE7ceGtu3norFqjmRg1K3MWI\nbpxzfxMQJpoiJk5hIpAci7pIUE5U2BAUtHF2H699soh1ssA8ANo4q8al1LYpIiduvOJl7dqlwWpu\nlDDtLnaWCzRyLhzrC0Nh4iauRF0kqGQGQEFBAIiklJWzT/ZtnVxhHtXMxXkbZ6KeyIkbLwMDMdtT\nIGXI2zg3Ndu1HOZOTwnORX8cw8UUAUKcRai+RHNKWdl51GAuYcDra0goyz6KvLghBUidXBLjKLFx\nltrpkRAEakSFY9Ef53AwRSCqaDEDIHqRqi/RmlJWdh41mksoSFxfBdZIroksbdlHkb8eL1sWMMHB\noZ19qZNLzUk61fRyuEnB7pCEIKCoICRSaDEDIHqRqi8RSSkTQMs8NCOyRpLaxFIWMQmE4Ho8cuLG\nayiwf388kKGAxM6+awpcC2x6SWpF1D/DhfbLwCwWzFHdabWIFjMAopew6ksIqQY1m9ECSNZURU7c\neMXL5s1L8OCDlt9UppGQOiPqYqAES9bJEsxmvwyUWjBXsl+u2KOmzgQSzQAcR6B4nhCij8iJG0KI\nAijoS7F1TMrYLwPFFszV2C9X26OmkkAipCJKmk26XjyvKu1e01xIMS6ltk1BcaMENe5iRDf8gijB\nuSiSId4UGK8Fc8XqxAo9auqtPw0JDy3OYK4Xz2uyTtY0F1KMS6lt00Re3Nxyy4TtKcigxF2M6Ma1\nLwgRYRLxKJK2eplz9aipp/40JDxEnMFC6sfCWhm9cCOLVEvkxc3GjVk4ss4jpDZoiv5EXJgERbJe\nhpCoICEqmFJWZ/MA1Ng4k1Kkso/uuqsBW7cGn0/kxQ2ZQerkEhlHiY2z2E6PxAVeyZeEa9GfSCNU\nL0OKKdefBmCPGpdQnVImcK3Xcp3WMg8pJFKwRNZIroksoeyjJ55IUNwAwI4dcaxZY3sWSpBKbRMY\nR8LGWaTppVBkQOIC79qXRNTR5AwWuF6GFFG+Pw3AHjXuoDmljNd6x5FYIwnVubhQr53JZHDgwIGp\nn5eiv78fANDd3Y3mZrMN8siLmwceaAgkbkR29l1T4Fpg00tVVBQDQGQKb6WcwVw6Ji5Rrj8NwB41\nhBDHcKBe+8CBA+jt7Z26NZb/ua+vDytWrDAaM1Rx09fXh2eeeQZDQ0O4+OKLcdttt6G7u1v0OQYG\nYsEGENjZd9FpgpBCqhUDQERqQwScwZw7Jg5Rrj8NwB41hBCiiS1bknjmmT/AokVnAABDQw35n//k\nTxK46aYz2LYtfa4hyhKauHn++efxrW99C7fffjt+67d+C88++yy+9KUv4etf/zqSyWRYT0sICYMK\nYgCobW2IVEpZIGcwZceEkNAp41AG2OlREwpK6iIJqSU2U9uuvnoMR4/OSJHdu4GVK6e/fcdx9dVm\ngYfQxM0Pf/hD/MEf/AF+//d/HwBw++234xe/+AV+8pOfYN26dcbj7trVjF27ZnLw3norhk2bZlKW\n1q3LYN06LiQICYNziQGgsiCQsD3W1mwy6DEhJCqUcygDBHrUKBEVrtXKaLJO1jQX4sFiapt3zd7W\n1orHHgv++QtF3IyPj+PgwYNYv359/nexWAwrVqzAv//7v4fxlNFHibsY0U2UvyDEbI/ZbNJpyjmd\nFdfIh4AAACAASURBVLmcAXQ6s4TXoQyAWY8a77iOiQo1aLLap40zKcNkWlrhujeGq65akr91000Z\nPWlp6XQa2WwWLS0tRb9vaWnBwMBAoLG9Kq+rS0bl2UbCXYxM4nSRt6YvK78I2x6z2aSblHc6e8dz\nLzqd2aCcQxmgxKVMSfSHhIcaG2cixrZt6SLx0tbWipdfPhZ4XBWbXs899xz27NlT9LslS5Zg06ZN\nSCaTyOVmX6pks0AqZe6kNTb0NoYwucBqDDBOY2NjoHlIjCH1WiTGmTh5HJmdj6HlDz+IxOLzazaP\n8YEjOFllkffi//EdNCzrKLnvbLjyHo8fOYiTX/wMknd/EQ0dXcbP630tleY2/feWd12BxkuW53/f\n2NiIximxNtaSrPj6Ks2lmmNUizH8HBPv3/3MRWIMTcekecnbWPXwViy886/Q0HYxAKChoQHj4zOR\nm/E3XsepB76I1j/8KzRH/JhE6Vyrdm4mBL6+plJo/LsdGAu48SNxnZcYx+Q67cXW90VYcwEEvkNf\newUnP/dxLPqbR9C4dHnlB5QbQ+C15M6eBQaPYHHqQsTmmIssibmIvJ758xH7xneQC/h6gHOv6WOx\nSROxxx57DMeOFYugVatWYfXq1QBCEjfJZBLxeHzGcnOKoaEhLFpUus+2evXq/IS8pNPpoouVt+Zm\nfDyGD31o5v5+a26miyDTw+lAUZNUKhU4pB50jNy8ZD61LVB/GYFxcocOIvvdhxHvvgKxXNxsjNMZ\nJNovRvp0pup55I69CaC6Iu/hY28iNnd+deMOHEbsoa8FSgcTGUPgfM0dP47skYMYPn4csfktlR8w\ny/N6z9dKc5vt74XjVPP6Ks1Fyxi1OiZROq5VvZ530pNOZ7k0YokRAEDL4hROnJj5PmnITd7n9Dtp\nZCJ+TKJ0rlU7NxM0fIdKjSFyrTe4TpeMYen7Iqy5AALrJIljIrJGehXZqTqXIBFPkdcj9d60duDk\niRPAyEjVjymXltbRMRN99aalNTY24oILLsCmTZvOOW4o4qahoQGXXHIJ/u3f/g1XX301ACCbzeKX\nv/wlPvCBDwQa2yteLr44YFqaQA6nljCnVGqblhS5IHnY4kXeEulgUU4pI4QQUh281juNljUSgMjX\na4eVlma2pV4Fa9euxf/5P/8HP/3pT3H06FE8/PDDGB0dxXvf+17R5ynIVDBiOoczFqRJ5OBRnLzr\nT4HBo8EmQwghxC0K7JNzhyb/jb32Sv7nSFsnE0KsEmuag4aLLmH9kIfQam6uu+46pNNpPPnkk/km\nnp///OcD97jxpqXlcrSCJoQQDdDprJRy9sm+rZPL9Jcp7C0DRLy/DCGkLomUW9o0vb296O3tFR3T\nK146O91wSyNkNqQaVhISNnQ6K8Vrn2xinVy1QJoaq6Y45FIWZav9smiyTtY0F1KMxdS20iaeCfT0\njBX93YTIbZx5Vd74uIzKs01u6ARGdn8PuZU3BEuRI06hrWElIediwdwJrNq7FfFP3A0sbQcw2QKg\nyFzmzaPIPnwfFqy809Isa0s5+2S/1slVCSTg3CKpTPQHKI4AmUR/JHrUqBEVjtXKSFgna5qLlvpm\n11BVQyRE5MSNt/ioq0um+Mg6wydx+slHEb/sdwCKGzKNUMNKp3v/EDUkEph0Ops/gVhq8usllZqD\nWGLmqyZ3agLZU4cQT9iaZfSQEEjloj+AQYpcGDgmKkhIDB7FySmHMdjsqQRgx4441qyxOgVyDiIn\nbrzMnWt7BqQsEU9VKBQDgFk6mMQY0wRpWFlt9AdgBCiKlKtzATy1LlXUuVSsl6mzWhnX8EZ/ABil\nyGlFTfRHCi1pXFrmIUWAFKxMJoMDBw4AAB5+eCWWLu0HAHR3d6O5OZpuZVKYZh95S03a2mRKTSL/\nHUVxM4NUapvEOBKpCraYTQwA1aeDSYwhRoXoD1B9BIjoo3ydC1Bc61K5zqVyvUx91cq4RrnoD+A/\nAqQWTdEfAUGgJaVMyzykCJKCdeDAgYI68pfyP/f19WHFihX+Bou4hXMJhtlHXpMwQMYkLPLiZv36\niUCPdyqHUyq1TUmKnLWduDJiAPCZDiYxhjDivX+ICsrVuQCeWpcq6lwq1svUWa0MIaa4JgjIJN3d\n3ejr6wMAbNhwFZ56qi//e79I1blEvV7bK14uv5yRGwDA9u3jCHRuSORwuqbAtWB5J867m+k3HUxq\nDELORbk6F6C41qWaOpdK9TJ1WStTwYKZ9suE1AeTEYYUgDYAwMhIA+6774b83621IVGyGS3FJZfI\nrIoiL2404KLTBCGE1DsiPWq8RLwekZB6xCteurrYhiQM2toobgghhJDQkOhRUzKmRD0iBVI4OFY8\nryntXtNcTPDWhoyOutNAXlNq2y23BCs1mSYuMgoJztSXFfhlRUjdMDEBDC/sxPBIAkMnxvP//vPt\ns/mfh0cSGF7YiQmZaz7xQWxhEvHr34/Yb/02Yp2X5gXNdLpprPNSK85i0wJJgytYbuAwTnzmT5Ab\nOGw+yJSogGVRMV0rY3uBJ8bgUZy860+BwaO2Z6JrLqSYqdQ2DJ+0PRNs3JgVGYeRGyVE2V2MEGKG\nlNMZIUZIRIAEaiNZgE+qwmJ9c1iWxSQcIiduCn3GASCZTCKdnizupNc4ISRKSDmdEWKCU5tqTClz\neh6ATH2zphQsKb4/cCP+yPYklKXKRk7cFPuMF2PkNe4SUieXwDimNs6FjS+DNL0kJApIOZ0RUu9o\niv6ICAIJJ1cJtMxDCiXuYpIiS4O40bZREjlxU+gzDpRGbuoZqZNLZByDVIXZGl/WvOklcZ6JCSC9\nsBPxkQRwYhwAkJs4i+HhyZ8xkkB2YSeSExG8SBJC7OKaICDYsiWJZ54pbjZ51VVL8rduuimDbdvS\npQ+cjYAiazqLKff2m+h/5/3of/VHiKVPRz6DaceOONasCT5O5L63m5ubi6IzqVQq2CJcIIfTxTCn\nFco0vrTZ9JK4S/laF9a5EEII0U9xFlMGH/joJgDRz2DauTNRn+JGGpEeNUrCnK5Q2PiSTS/doVy0\nBLATMSlX68I6FyVUaJwJWGyeqSyvnBBSG7ZtSxdFZtraWvHyy8eszGXXrmY89dRqXHPN5PPv3Ts3\n//NXvzofGzaMRtaWWoq6FzeEkNqgyRmsXK0L61x0UHXjTMBf80wBJFJ2TesRSfhoKp4nuvD2uQHs\n9bnxPldHRw5PPz29YTjsf0AHN20iLW54ISIkOrjmDFaxbgdg7Y4BVTXOBKJrLiJgnaxKIAm4lKn5\nLnetVsaidbLquRigyQraW/+TzQar/7FpBuAVjbt3J0REY7S/bx26EKn6siIkBFxzBqtctwOwdsc/\nsYVJxK5/f9HvcihOV617BASSFCIuZQ59l2tCJO1e0Vxs1jdritxoSpELive4bd68BA8+GPx8jba4\ncQlFX1am0MaZ1BMV63aASEWiSP3h0qaamugPCQ+J+mYHU7BsUth7UlPfSYobIgJtnEmt0GLjXKlu\nB4hWJIrUIQ5squVxLfqjJY1LyzyEME3BEk9LCyCyxG2pAzBb70lT17Y33ohJTIvixiWkduGMxqGN\nM6kRtHEmhKhGQBBoSSnTMg/XCFLnoiktrbD35IsvduHaaw/mf2/CyZMy86p7cSOSw6klzCm1Cxdg\nHNo4k7ChjbNiNNs4E1IjKAjcQ1PNTRiRG9PmmYW9J//7f1+K229f4H+QAjIZRm5kEMjhtOk0QUgt\n0OQMRhtnvWi2cSaEEBcII3LzwAMNgZtnvvZacGFy6lTgIQBQ3BBCqoDOYKQaQrFx1hIZh1Dqr4B1\nMiH1xHTRem7wCD6/5wF8+ZX/D7H0aetF67aQiiIVmgEcPnw++vv7AZibAZw54/shJa8lk5GJiFHc\nWKSiuxhAhzGiAjqDkWoIw8ZZVWRcIPVXxDpZkUByyqXMseJ5m9bJknMpLlrP4AO3XQ/AvGjdBO8i\nu73dXp8bKXOD4uN6Mv9ztcfVK0xGR+2l6nmJtriJ8IWoWncxgA5jtaZcChZgx5FLC3QGqwMq1Muw\nVkYPIgJJCgmXMiXf5c7VykhYJyuYS2HR+tq1TXj22b78722RUPQ9F4/7f8yuXc146qnVuOaayXS2\nvXsX5X/+6lfnY8OG0ZoIk7Cao0Z6XRbpC1EFdzGADmO2KJ+CBUTVkUtTvQzRS9X1MqyVcQclEaBI\nf5cr5/sDN+KPbE8iIIVF69lsrGbRmnMxb57tGczQYPilnUgkkEwm87cLf64VYdlacx1jmXO5iwGV\nHcYkUtsKx5h1nDpKjyuXggX4c+TSFP1hvYzjlIm4AP6jLlXVy9TRdaAeUBUBCoqS6I8UUillX3nl\nDvwRXrM+D1M+8pEUXnhhJt0xl4uhq6s1f/s97zmLJ56o/vw1rZvzpmCl03rc0kZH/QsC73y7uvxH\nTCSiLl5zhPZ2GVtripsII5HaNtsY5capl/S4cilYgD9HLk3RH9bLuE25iAvgP+oSRr0MIbVCU/RH\nRBAESOMqLMAfzFyL/lf+3rwA33Jqm1e4tLW14uDBQfMBDevmvAv5zZuX4MEHzc+1IOYkXkHQ09OK\nffv8CQKJepkw7LFNUuzKQXGjyInHNxKpbWXG8I7D9Dj/SER/gCpSyqqI/rBexm28ERcAjLoQYhPL\ngqC4UPw2fOC22wHUtgBfCk39ZQp5442AtsdSfQkN8R63jo7gkRsTkwXv+zsxQbc0ESSceETsQQMQ\nNLXNO0a5cdiA0x8S0R+gmpQyppPVO+UiLoCSqEuUN48IiSClheIJK4XiUoRVcB6UgQGZZpNakIiY\nmJgseN/f665bSkMBNVhW4GQG14rnK6aUMZ2MKEaVjbMEAgX4TlknE3W89FIj/u3f5gKYm//dq6+e\nl/+5szMXKXHjJaZEUyxbpmfL94ILgs8lZzCEN+oyPh486nLllTLHVfvajhBfuFY8XymljOlkxHWM\nIuNCJgteRArwBayTKZDCQbJ4XsKlbOuvPocv+XzM1VeP4ejRmaXd7t0J9PSMFf29VhQ2icy9/Sb+\n6e11+P1XX/NV/+Mtns/lgrtpSbw3bW16xM2RI/4Vn0Q6mPc+3d06ompAxMWNbRcPog8WzxPiGAaR\ncSmTBbVI9JaRQsClTM13ecBamcJC/m8d+gN0v/KKeSE/gGcH/xBfwq99PUZTs8ni2h8A+D6+8tGb\nAVRf/xOGm5aJuPGKgd27EypqfwDgzBkrT1tyTDKZ4JGbW26ZEJlbpMWN7aI9og8Wz5NIEVKEQYQI\n18vQZKE6JCJAIi5ljnyXFy/mvx+4kP9stklwdrWnsPkmAHz606vwt39rpwFnofBMj12C/lf8RZAk\nrJM1EYYVtMQx2bgxC4ks5miLG0JIdNC8kLeE5ghDlOtlVJssaEJTBCggGqI/hYv5bdtWYssW/wv5\n/CL87TeRyV6Dfp9pXF4C16gE2OQobL4JAG++Od+aW5u08LSJRJ8bCStoLyaGAmFBcUMIqQmqFvJl\nhJYNkRVahCHCURdCjLAc/ZlcLKYAtAEAnntuLu6774b836tZLG7ZksT3vncehobmA7gKQBM+8NEb\nAQCLFi3GH/3RmO/6kgULfN29hCCbHBKNLyVqbkod5C4M7CCXzfq6eykBzEkk6qq8x/7yy4PbOEuk\npUlBcWNI7thAvu/L9EKoaEFU5+kOhHjRlCpUTmjZEFlhRRiiHHUhpNYUpixlh08jPlUrA8A4bamn\nx6xb+1/+5UwR/tq1F+LZZ1/2NQ9NSNT/eGtuurr819yUNuCcwIMPTjuoDpd/kAevyBofD2ZsEMSc\nJIx0sEsu8W+Q4J1HZ6eeVL26FzcmTjy5YwPIbvlk6e8fub9oRzq+7ZsUOIRMoSlVyCu0WI9BSP1S\nnLL0YWDP7fm/1TJtyRv9mZiIG0V/Chfh6XRwdzFTvDv7uZyenX2/SIgszZw8GXwMiV45UtS9uDHq\nUTMVsSlcCCVbkkgXpLTkHrk/fz9CiC7KCS3WY8hju8GxNLRgdpPSWplNRX8zwcTBSqJhpXcR3tHh\n1iI8cDqYg7S2BrelPnkyuJ20RN2OFBQ3AShcCDWmUkVuMXoc0KNDxQacEWq+SeqACnU7QP0ZJJQg\n0eBYoHGmGBIF+ALWyUSWwsL3lpYWo0iNRH2JF4md8KiLgTAaRXZ0+F+haV7I33PPeOU7VWDu3Mr3\niRLRXiOyaNYpKjfgjE7zTeI+VdftANHspaIEkcaZgJrvCxHrZEUCScSlTMl7AwBvvGFmLxZGgXY2\n638B7R0DsLcIl6i5CaO+5MUX/atG7zyuu25p4Hns2BHHmjWBhgAgY59skpbGmpuQYNGsW1RswMnm\nm0QRVdXtAKzdUYJL3xciAkkKAZcym++NVwzs3x8XEQMSaWkdHcHFgGkTz2mTBQB48cUuXHvtQQD+\njA201twMDAT1xwauvNIsP6fwuH75y6uwdGl//m+mphEmIslbmzU2Frw2a0Km/6YIkRY3RA8SKWWV\nGnCy+SYBoMfGOay6HSW72K7Vy5AyWI4AFS70kskk0unJz7DRIs/wcyPhcgbIpC1JRG4krJMBr8nC\nqwAmf/ZjsBBGNEsiHcxEeHoxjfAVH9eTBT+bm1fs3JnwLW68tVltbcFrs2goQJyDKWXECIMFiRYb\n57BQE2GQqJchqrEdASpxKcN3AZgt8mx/biRSdMKwTm5vN1u0FposrF17MZ591n9DUi+LF9upRg6j\nHsrUXaz4uCbzx3X6b1HCe1wnJnRE5oA6FDeF/WkA9qiRgillxASTBUkoNs5KoiVSMOpCokDhQu/D\nH34vvvvdTfnfV0vQ6I93gfbWW2YLNInC9zDSuEy7xheaLGSzMRE7bBNHrjBqbiTIZEzdxYJZfUvx\nkY+k8MILhY6PMXR1teZvvec9Z/HEE/aPsyl1JW5m608DsEdNUJhSRmpFGOlgtnd9xWHUhUSAwgX0\n8HCj0QK6OPozQ7XRH6lCcS2LcK0iyyZSdUha8L4/u3cnfL8/XuHS0dGKgwcHfc1DKqUzDOpK3JTr\nTwOwRw0hhISCJhtn4iSF0R9v5MYEkx15QKY2RKLPjYRYe+mlRuzbVxzFLrzd3j5uTdyYWBZLiDWp\nCJ8E3ufavHkJHnwwmKhocEwNOPZyqsO7w8seNYQQIo+EjbOqxpkCBfgi1skOIBUdKIz+pFKpwNFX\n02JzrbvYJq5eV189hqNHZ5aHu3cn0NMzVvT3apCodQmjXoaEw7JlelbPdSluCCFEHMfqdtQg0ThT\nCJECfAHrZFUCyfC8f/LJZk/OP/DTn87cHh1FpBetJgs9r9MZENyeN+pIiMYwImK25hEW118fvNvr\ntdfq6RgbaXHDollCqqCCdTJQO/tkl3GubscxnPq+EBBIUpie996c/7Y2/zn/EoQVGWhrsxcxKeSW\nW/w3H5FahGutQ7LZ2LSQWPB2OwDM3mMvH/1o8DGOHBF6QQJEWtywaJaEQhkxANjppSJB1dbJwOz2\nyRRI9Ydr9TL8vijBZgRIy4IzrAV4R4d/caOl8F3qvQmjR40JYRxXicicaQ8iLxs3ZhF0T82kV45m\noi1uCAmBcmIAiG4vlaqsk4Fz2ieLCKSwcCwdTEuEQaJehijHYgQojBQdk07tYS3A//7v49i6Ndhc\nJFzKTBatYUVuJJp4mhTyh3Fc77xz3Nf9gdIeRJ2dwRtnkvKEIm6efvpp/OIXv8Drr7+OxsZGPPro\no2E8Td0zMQGkF3YiPpIATkx+0HITZzE8XPChG0kgu7ATyQkq2WrxigEAMr1ULCFhnSwhkMohsZB3\nLh1MIsLgWtSFOI9Eio7EQv6ii2SiJYODwXu6dHREO3LjxaSJp1ajBoloSTwuMxcTUS+BhCV1WISy\n3h0fH8d1112Hyy67DP/4j/8YxlMQAO+cSWDPNfcC/QD635n+redei4Br7sX1Z4awqMbziyrlxADg\nUxA4ltoWRm8ZAGpShbRES6Rg1IVEDVuBV81d1hcssPK0oWFqsx0ULel+XrJC9fcmol5CmIRhSS1F\nKOLm1ltvBQD80z/9UxjDkykWzJ3Aqr1bEf/E3cDSdgBAS0sLhoeHZ+705lFkH74PC1beaWmW9Ylr\nqW3Oo0RkuYYqG2eiCq31GKbRkjBej0RPF4lFq1QESZNVsA0kGqxKIZEyqBlmKkWYRAJoOXUI8fkT\niKUm38pUag5iiZm3NXdqAtlThxBP2JplfSKW2lahkD9K0R9ShyiycZZApADfsRoxm4SRFpMzXH9L\nNL6UqC/x3mftWv9NPL3zyGbtOchprbkxQYt7XDlM+ztpheKGkBAQSW2Dj0J+Rn+Iqwg0zhRDoABf\npEbMAYEksXMskRYjtfD1Fou3tfkvFg+jvuS114LX/pimcbme+hSUcf+eBAD01rpIWFJLUbW4+V//\n63/hBz/4wTnvs337dixbVsMCaxbNEsepqpA/IsYGruNa3Y4WRBpnAk59X2gy0ZA67yV2jt94I/hC\nvrNTz266BBLH1TSapUWYhCEaJZz5TCNiYYh6iTRKCZMFKaoWNzfddBPe+973nvM+F154odEknnvu\nOezZs6fod0uWLMGmTZuQTCaRm+2TlUqhcfnlGKsyT35s6G0MAUi2JNGYmnkTGxsbkZq6Pdt9Ko0j\nPUY140iMkfnPt/HGwk4sjCXRMDE///vhkxPITd0ejyVxamEn2hYk0WzxmNTquFY7rl+MxkilgM6L\nZ8ZoSWIIQMu7rkDjJcuN5jE+MoxTHV1YeP75aKjlawlxHO97bGMeY0NvY+jo61g0r9mJY5I7exYY\nPILFqQsRm2NWL6PltQDw/X1RDk2vR2IMsWuBwHk/dy4Cv57BwZjvMe66qwFPPz2Ttz0+HkNPT2v+\n9vr1E9i+vfIW+44dcezcWZj/HcPmzTM9TG65ZQIbN/qrII/Fgh8Tk+MaxmsBgFgsHvj1DAwEH+PM\nmeDH9X//70Zs3OhvjPnz42hqKq4RaGpqLPp7KuU/Qm1yXMOYy1NPNWHDhnCva7EpW8XHHnsMx44V\nR0ZXrVqF1atXA/AhbpLJJJLJpMlcK7J69er8hLyk0+lzfhmlUqmqd6+m6xTSw+miXcDCMWa7T6Vx\npMeoZhyJMYaOjUw6rr0AAG+UnSvQOOm4dmwIi86zd0xqdVzLjns6g0T7xUifzhjvIJs8bxhjYH4L\nUg98a/KYmM5D4HgAQq8H/q4DYc1D6rXkkMC8W29DGgm7x+TQq8hO1cuYOuJpeX+lxtH0ekSOicS1\nQOiYLF68NPDraW31P8bWrSjqR9PV1Yp9+waL7lPNkCMjzRgdLVwMJjA6Olbw9wxOnPBXG3LsWAwf\n+tDM303qS9Jp/2NIvJZy5HJLAr/HuVzw8wRoFZiH/9eyZg2Koj1tba148MHiBbrJtCTm0tMTfC7f\n+c4SvPe94V7XGhsbccEFF2DTpk3nHCeUmpvjx4/jnXfewfHjx5HNZvH6668DAJYuXYq5JvYfJDTK\nOa4BHte1WjmuKS6e15QGogGx4yGQKuRaOpiEjTNdyoh2vIvwQ4figdNiTArWvZguUSTS2yTMACQI\no8EqIFOTIfEeX3KJHde2LVuSeOaZ4v5BV101ExG76aZMUd1WtWiqddFCKOJmx44d+Od//uf87T//\n8z8HAHzhC1/Ab//2b4fxlJFDSwPOco5rQLHrWq0c11g8X3+I9GNh08tSHHMpI+4hUQcRRmG1qbgJ\nw+Z3YCB4DZGJUcNHPpLCCy8UborE0NU1k6r3nvecxRNP+L9ma6nJkHBt01LED8gcV9dsukNZM3/q\nU5/Cpz71qTCGdgY24CzF+eJ5BxyOXIVNLwmJHmEUrK9fb7YLrtWYwMRQwCtc2ttbcfDg4Cz3DhcJ\nUaHFte3qq8dw9OjMsnv37gR6esaK/m6LO+/0b92mWfDRCtoSbMBZSjn7ZL/WyZphahupOzTZOEvA\nDYo8mUwGBw4cQG7wCH5y4PfxvldeQSx9Gt3d3Whurvx+S/Qv8WLiluZl+/ZxkejCvHnBx5DYTZeo\nBEhY7JMnISq0urZJpftJYBL9CcOFTgqKG0uwAWdIVKjbASLe+JKLKxIhJGycRRpnCiGxQeFKjdiB\nAwfQ29s7desl/M1tVwMA+vr6sGLFioqPD6O+xKSnixTlCvmDRhj27w9ehyRRXxKPBx6CoPT9Bew0\nE60HIi1uWDRLvFRdtwNEsnaH0R/FuFa3owWBxpmAou+LsTE8/bPl+KNN5ikoGgRSd3c3+vr6AAAb\nNlyFp57qy//eBIlCcZt4F6bd3TqakkoIpOuv92/77DomRfyaIzeuEWlxw6JZ4qWquh0g2rU7RCWs\n21GO5e+LwjSubx36A3T7TOMqQsJEIyDNzc35CM3YWKKqaM25kEgp02TGOmHJwCqMFKwf/nBMhREA\nIOMMJjGGSRqXa5GbMFJLpYi2uCHEg+t1OxJo2PUls6MmwuBavYxlvGlcH7jtdgDVp3GFgem1IIzu\n5keP+rp72XloWlyRcJBwBrPl2uY9H7u6oh250VLLVA6KG0KqwClBILDrK3U8RBbyrqWDKYlIS9TL\nkBmk07hEUBABmmZoyF69jARhCD4t/Ut27IgXNXwkZoRxjpDyUNwQvWgqnle0CFCB1PEQWMiz6WUZ\nGHVRxeSiJgWgDQAwMtKA++67If93LmrM0rhc2wn3IhFhkBBIO3cmKG4E0Hy+uiZgKW4MqNiAswbN\nN+sBFs+TmqEkWiIFoy668C5q2tv1LGpMkFikeXexc7lo72JrXbhKCCSJeihSiqYaMQkBqyXSCHDt\nbUTlBpz11XyTVIdTqW2EVIEmG2ebuLaQ92LSB+Wllxqxb19xVL7wdnv7uG/rZIk0H9d2sCUYGKC4\nIZWxVctUDoobAyo24Kyz5psAKvaXiXRvGSmY2kbqDQkbZ0XpqdygKI9JSplEt/YweuWY7mC7VE8R\nllFDvQtHiV5IpDoobgyo1ICzHptvVt1fpta9ZRQtjCTg4kovztXtKEFVeqqWDQplJhrj4/4fZFEY\nzAAAIABJREFUE0aqns1eOWEILQkxYDJGWJ3ntdTu2BJZ3uN6+eX2Uhe9Qmv37oRTQiva4oZFs2qo\nqr+Mhd4yqhZGEmhZXJFSHKvbcQ6L3xfehUJnZ7BFjbaeSjkBTWGS2qYZCaElIQZMxtBssX3XXQ3Y\nujXYGFpE1pkz9p5bs42zBJEWNyya1QP7y0QIZbu+RCe262Wmm14CQDKZRDqdzv/NpPGlpu8LCTEg\nguG1IIwaIgkxYFLQ7PoOtglhRW4kePrpRGBxI4FJ9Mel1EXtRFrcEFIzHBIEIru+io6Hc+lgWiLS\nEvUyAShuelmMzcaXEsyfH3wMidQa02uBhBmAlw98IOvr/uUwKWgOawdbk3NUUJYtMxOeLgtHk+iP\n9/V2d+sRja454lHcEFIF2tJAbCN2PCQW8o6lg0lEGGxHXSQobHpZLnITZS65xGyxWBjN+uu/XoWl\nS/sBmEWygiBhBuDlyJHgiytNBesmQktCDIQhKEyjalpSn7SILO88MhlGbsKC4oaohcXz7qMmVUhL\ntEQKy1EXCZqbm/PRmd27z8eaNcctz8gc76Jm//640aKmOJo1mP+51pEsrX17tNRSmCIhBsIQFB0d\nMnmUJtGBLVuSeOaZmc/O8eMxXHXVkvztm27KYNu2dLmH5tEisrT2QgLsmnGEAcVNlKlgvwxE3ILZ\nteJ5RalcpBg1Iss1hNwKXVu0mi5qCqNZH/lICk880Zf/vU3icatPL4pUOpmmKFJQJKJqgFm/nG3b\n0kXipaenFfv2HROZjx/CiP6oqb1zEIqbCFO1/TJQewtmUgJT20i9IeVWqCYfvGUx/v6iL2OthQ2K\nycVVCkAbAODEiSbcd98N+b/bTGlpb/e/StOSKuRFqhFh1AV5GDQ3R3c1LxH98Z7zY2P20tK0fv6k\noLiJMFXZLwNWLJhd6y+jBkZ/SMhM13XkBo8gO3wa8VdeQSx9uuZ1HYXY7pBeWOvyrV+uROeRnwNH\n3rB6TEwpfC1AcT2T6eu55x7/jW7CWCy6tkCTiCJpMjZ46y0dmxRSaXZ+kbaEl5wLraAV4ULRbBA0\n2y9r6S/jWt0Ooz+KcaRup8SlbM/tAGpb1xFGn40g3xfFx+T76O29GUD1x8RbNzA6GrxuwDS1rdSF\n7sMAvgvA/D2Winb4xfUFmsRxtWVsUG4ciQL69euDizWpNLuguJTOCehKxYy0uPFbNDsxAaQXdiI+\nkgBOzOw05SbOYnh46vZIAtmFnUhORP3gEADu1e0I4Jx1shJcqduZzaWslnUdofTZCGCyUHhMPvOZ\nVfj61/3VuoRRNzBhuMYrfC2Tc1uJLVs25f9GzHApiiQlGsMwnti+fdyKkPZiEhGT2OTQjKZUzLpa\nv79zJoE919wL9APof6fwLwU/LwKuuRfXnxnCohrPj+jFKUEgYJ3s1PFQhu2IdKFLWSqVshJ91dQh\n3Vvr8sorc63UuniPycSE2TEpfH8BoKWlRUXPIE3pUyZojSLZ3E0Po9mrFkwiYt5Njssvb8XLL9fe\nHKEcUf/8eakrcbNg7gRW7d2K+CfuBpa253/f0tKC4eHhyRtvHkX24fuwYOWdlmZZY8o4rgHFrmuR\ndlyTwrFeKoEROh4iC3lH0sHySNg4R7zmTVOHdC1z8c7j8stl5qHFrEEiBcu1BZoENnfTw2j2aoLW\nqNrcuTV/ylmxlVoaFnUlbhIJoOXUIcTnTyCWmnnpqdQcxBKTt3OnJpA9dQjxhK1Z1pZyjmvALK5r\ntXZcY/G8+wgs5Nn0shQtNW9SmHZI14pE3YDpwkiq545GXFugacFUNHojFZ2ddiIVWqNqUUeraATq\nTNyQUv5/9s48Lqrq/eOfGUHZREAUFFQUBHHBJcENFaWUn6ZUbrmVZa6VtpnfUlMTU7PS1ExL0xJz\n14RUksQlMTXXRHNBREEWRTYVWWd+fxA3ZmDWe4Y5c33er1evHGbmmXPPOffc85xnU8+4BqD6rGtm\nyLgmteB5cuXiGAkUvZQy5iwwZwoXOWPiBli1wxSWKJ4CiXlBSlYkVkqj1ALoxcLikMOc8Kw0knIj\nJYxwRaku4xrAT9Y1SUGubYSFYeymVUgnfT8Dsj0/QfniK5A1cDc61bC5UrcCVR/g3bu7c+GWNnCg\nedpRHcuXW5Fyo4a5rEg8n6bz5IbFA7wkR5AipNxICKm5ohBVIesPUZMY669fJd3w7jgAxqca5iV1\nK1CezpYHjLVmmcISZe46RCyxdCsUz6fpo0bxYamQklWNqB7LVm4sPGhWynBTX0ZqcTtk/eEWqcXt\niIGHdNJVYPS8KCxk1B6RGJsIgGcLEA/wlM5WavBiqaDYLNPAk9Jo0coNWSo4hpP6MlKL2yE4RoJx\nO8ZuoHlIJ62O1J4XOTls5BhjAeIpVTdBEHzAk9Jo0coNQRBGILXUyVKDkYXBGPcaU2TSYtEOc8YN\nqLclP5+PjTwv7nEE3/B0mk5IG55cOkm5IQh9kJBCwCJ1MrP+YLCRl5o7GCsLgzHuNaaoKG5MsDlP\ncQOmqC/z7rtWmDNHXLtYuccZs/nlpfaPOpauSKvDYrPI02k6L/C0CZcSPLl0knJjLqopnlm5cCZg\nxuKZnMQy8RQ8z0QhkBCs+oPJRp6KXgpUzlKWdbYl/o67ISpLGQssPdjcFJab3btrGazcmMqCxGLz\ny0scEguFnqcAfJ42i1KCsvtJH1JuzER1xTOrLZwJ1HjxTG580yl4nqghuJnzIlHNUrYX/zd2HAD9\ns5Spb6CVSj5csMyJ+jU3bcqHlYIgCOOw9AMXQjek3JgJ9eKZ1RbOBMxSPJMwERJybSP445dfbLFr\nVzC6dCmvAH7qVEPh359/bo8hQ4p1KiZnzljj/HlV61Xl156epTplmCLYnKe4AZmZ9kWmcBlkhbOz\n+eoQEQRhHnh26STlxkxUVzxTbOFMbtIvE9VCrm2EKanqXlOG774r/fdVnl4yIiLyERHxn2ts8+aN\ncPFiJstmGoU54wbUH+ClpYYra7NnOyI6+j8ZWVkytG/vJrweNOiJSr/r0w6erGrmSm5gis2VORVp\nnjeLLDBXrAuv2f0sPfaHZ5dOUm6MQUe8jNliZThJvwyAm/oyPMXtMIGsP/wikbgdsag/8Jo358fC\nYAwsEgqoK40dOzbC+fOGKY08ucfxslk0xeaKlSJtzMaV580iCyiGSBXqD9Nh0cqNuSwVesfL1HCs\nDE9wU19GYnE7UrH+VAS+A1WLPJor8F0sUonbqYyNjblbwA5jnxe8pIJWb0dZmflOn6WmwJoC2rjy\nA6/Z/QjTYdHKjbksFXrFy1CsDMEpPKROVg18fxnAVgD6B74TumHhXjNqlOEy1DfhxcV8uIAY+7zg\nZWPEs+WGmzEmCMJs8BQbadnKjZkwRbwMwTc8KATMYJA6WWx/+Pj4ICYmBgAwbVoPrFgxTvi7wUjM\nHYyn2Llly0oNdtFR39gOHOguqVPSxo3FB8+/9JL4TYC5EhsA/FpumjSRVmIDnjaLxsBrDBGLe9gY\neO0PVvBUU4mUG4LQBxa1VKSEyP6wtbUVLDS5ufairDWScwdjZJHmpZaDh4e0NpwsMEZpVEcuZ9MW\nY+DVcpOSYj6NzxQbV542i8bAawzRO++U6v6QCeC1P6QIKTe8wNHpMzcnxxQ8/1TAQwFAbuY8Q5KS\nxG/0WGTzSUigmhIs4Emh4MVVjydo42o5WLrSSOiGlBtO4Or0mZOsa1IJnq9AUq5tIuAlQFsFTuY8\nS1gojSyConNySLmROuZy8yEIc2HpaZylDik3UoKT9MuEBsi1jdBA5exxyvQUKPIKIL92DbL8Ar0z\nyJniZP/uXfGKiZQyrgHmq26uPn4+PvxYS8zleij1GAapYekxRJVhcfAjpf7gDYtSbpSZaUDhfwtV\nRT0ZlboyT3GWMm7SL0OC9WU4QQrWH/UNh4cHP5s0c6GaPe5f4icAMG8GOXNt5HmCl5ou6vDgzlmB\nuTZpPLuCSWnjyspKQe5gqlB/mA6LUW6UmWlQzJ5c/Xvrv0LlcyN5xJqaVXA4ipfhBl7qy0gtbkcC\n1h/1zSJgvs1ihcXEWGtJZcTE7VTOHgdUrf1TU7DYyM+e7Yjo6P9kZGXJ0L69m/B60KAnKgUtawwj\nLdu8xpfUqmXuFvwHbdKqIqU+oZo9pkFqrm08XY/FKDcVFhuVWjIAHOs5Ij+v/EFZUW+msnWnJuAq\nXoZQQWpxO0wwszJ+5ow1zp9X/e3Krz09S2tMualSb0eMtURE3E7l7HEA4OLiYvB6wiI9r7oMf3/D\nZURE5KsoL/7+jXDxYqZBMkyBsZZtXi03dnY1/pME8dRiChdIqSmNPF2P5Sg3/6JeS8baxUVl40ph\njYRJkJB1jokyLqI/1De/Hh7m2/xWtphERARi9uxxwt8tHWNiXUyR7KGgwPB2qGPOE0FearqoW8Ty\n8zmxiHGElFzBCL7g2QWSqIrFKTcEYQ7IOqcKT/0hxh2sssWkXr16ZottMQUtWhh+1GOKjXwZg/0m\nTyeC5kqQoH4o0LFjI5w/b36LGE9IyRXMnFCiBsLSIeWGqAonWdekEDxPVIV5zI0E0zizgEWhOhYb\neallSyMIqUNWCtMgNaWR5+sh5YYTeCoiyE3WNQkEz6sgIdc2MagveF5e5nHz4XlhZoExp9gs3NLU\nZTx5wkeMirFwWZeJIAizYowLpNSURp6vh5QbXmBw+kzpl/mGJ1cuc6K+WSwpMc9mUf13Bg505yIL\nFivefdcKc+YY9h1e+oQnxZPXbGkvvUTxJQRhLsgFkm9IuZESvKRfJkyHBKw/6pvFpk352CwmJRlX\n04VlOmmW7N5dy2DlRh1jijOyUAZ4PhHkhWXLSmlzRdQIlKiBsDRIuSFMAyf1ZaQWtyNF64+MkzqR\nxhZFrFKAk4PimwBfRR55wFjLNq+poAmipiArhWmQmtLI0/WQcsMAnuJleIGb+jJSi9uRAOqbxdJS\nPjaLxhZFrJxO2lzFN6uDhXLD4mHVuDEnCfqNtGybwlWPp2J3BEGYB6kpjTxdD3Pl5t69e9i1axcu\nX76M3NxcODs7o2fPnnjppZdgZSVRXYqyNREWhLmVcRaFIgHx7mCsAt8rp5M2pvhmdRiz+VWvg1Jc\nzEcdFBZZ23g6ETTGVU8dnlJbE/xCSjBBGAdzbSMtLQ1KpRITJ06Eu7s77ty5g7Vr16KoqAhjx45l\n/XMEUSOYWyFgCovkFSL6g1X2KV7dwVhgzOZXvQ5K8+bii6Oy2ISzOM3j6USQF2jjK31ICSYI42Cu\n3HTo0AEdOnQQXjds2BBpaWmIjY0l5cZC4CbrmpmD5yssAwDKrQOXr0CekADZgzyzB4ubHREKEqvs\nU2LdwXipPF8dd+8aHoikrjQWF/Ph7ic1eLEiLV9uxc3GlxQtgiB4okb8xAoKCuDg4FATP2W5cFI4\nEwA3WdfMHTxfxTKAlyVlHeAFY2MyxLqD8awMpKUZrtyot9fTU7yyZoySJXVY1A9ikdramDlSHSwU\nE7IwEATBEyZXbjIyMhATE4NXXnnF1D9l0XBTOJMQqGwZAIDp03vg66/HCe8Zirld23hNWcwihsEY\neCkmCpgmI5eNjfh2XLgg50bhs2R4Tm1Nigk/8FTfidAOWSv5Rm/lZvPmzYiKitL6mWXLlqFx48bC\n6+zsbCxcuBDdunVD3759jW8lK4qLAADKOzdV/lySex/KvHKXFmV6So03ixmcpF+WCpUtAwCQk2Mv\nzlpj5sQTvMao8OLmozRjUi9TFIqsW5ePdhBsoJTU0odnJZhQhQ4F+EZv5WbQoEHo06eP1s80bNhQ\n+Hd2djbmz5+PVq1aYdKkSVq/d/z4ccTHx6v8zc3NDePGjYOjoyOUSiVKcu8jF4BjPUdYu/y3oFtb\nW8Pl39eaPlPBk4c5eARA+dMqVN7H5FbTpnpu7rCqRkZ16Ppdfal8LWJkWIncPLO4nrKcLDzZsRH1\nnn0etZxdjW6L2D4pfZyHh02ao66rq97jqQmZDKLawqJfS1NuIefT6XB8/1NYNWlu0HcDAwNx4sQJ\nAICVlRVKS8uzWPn5+cHOzs4gWazmfEVbWMx7sTIUCnHjK6Yd27bJsWPHf7mo792TYeLE/zKdDRtW\nhhEjFCaXoY7YOQ+wW9fEyuBpnZbJ5AbLsLeXo3Zt1XzltWtbq7zv4mL4wZYxbVGfa/v21RI913iZ\nJyxksJJjzNiYoh089QkvMngZG1ZyLEWG7N/CeBs3bkRmpmrCnB49eiA4OBiAAcqNo6MjHB0d9fps\nhWLj7e2NqVOn6vx8cHCw0CB18vPzUVJSIlhW8vPyVWqnVPa11/SZCpQt20H2yluQuXsC/wbKK9NT\noFz/FWTj34OsUZPyD9rYIt/GHvo6VitRC3bDX0M+aomq68IijSwLGbr6US8Zt29BsXUd5D5tIFPK\njW6L6OuxrweX5ZvKZYiMycjMlGHw4P/eN/SklEm/ZmVBkXILeVlZkNnXM/j7zZo1A6Dar4WFhSg0\nsCgKi2upYMsWN/TpY/55r1A0Mtv999xzUDkF7NixEb77TnXh1iVWXUb5qa9hMljPeYCjdc3OUbBs\nm3udHjrU1WAZ6uPbvLnhcwSozvXJ8DFmMdfU4WWesErnzmTOKt24uB6e+oQXGbyMDSs5liLD2toa\nDRo0wLhx47TKYR5zk52djXnz5qFBgwYYM2YM8vLyhPecnJxY/5xByOo6QtazX5W/KwHIGjWBzMjg\neYqXISyNd9+1wpw55m6FeVGvCwPwURcGMF/hS1Y1iHiEm8LCYJPaWmGYYUSAXJ8sB15cdgmKh7I0\nmCs3f//9NzIzM5GZmYkpU6aovLdt2zbWP0cQJkPK8Qe7d9cSp9zwlN3PSNTrwnh4iK8LwwpzJVlQ\nx5ikBIRpUN9clZZSzI3UofpO/ECHApYFc+UmJCQEISEhrMUShCTYm9YfL5q7EQwQY63k5QSMZ8sN\nixNbOvWVFjxb1WiuEQTBEzVS54bQDTeFMwFusq6ZO3WyOixchdYmjcGLyGLQGnEYGGLDFF5OwDp3\nLkFq6n9LYGxsLXTsWKLyvrlgcWLLoh4LZeTiF1ZWNRaKCVkYCILgCVJueIGTwpkAR77pZk6drM47\n75SKE1DPGZloCtSr+VNOdStFfj4/VgpzYYqil5YOL4onURVTKZ6kmBCE4ZC1km9IuZEQytxsPI7d\nA2Vgb8icxKcXJFQxdhNQUTwTAMqsfJGQchdIuVujxTPV40uaN+cnvoQXrK11f4YgzIW68jJwoPtT\nr4wTTx+8FM+kQwG+MT5Hr1SwtkYtTy9p7GzyclCwfQOQl2PulkirX//l+ecNv5ZffrHF6NF1ERZW\nhLCwImRn1xb+PXp0XZWTWL34N5AfFhzIrw6LE7Bt28QvZY0a8RHETxD6wEvSCYDN/UcQ+lC5vhJB\naOKpt9zIGjeFy9eRonJzcxUvwwli+rXC0qFMT4EirwDya9cgyy8wytLBMm7njz+Me4Db29ujS5eu\nAIBTpyD8297eHkCxQbKMDeRXd2kpLuYnloLFCRiLatHz54t0O5QgTZrws4EWi9Qs23fvyszdBAGq\n1k4QBE889coNEziKl5ECiYmJCAsL++8P8RMAADExMWjXrp1hwswct1M1nbQSu3dXbKLzqv9SDbSj\ne3dyaVGH3AyqkpLCzwZaNP9atuW+AYAElBuCIAiieki5IbjDx8cHMTExAABHR0fk5+cLfyf4gKyV\nBEEQhKnhpXQAYVmQckNwh62trWChcXFxEeUyKIZRo1zw55//bdyLi2Vo3ryR8LpbtyL8/LNhbbO1\n5cPNJz1d5Im8ma2V9MAjnnbS0sxnVaP7j6gpKIMjYQyk3BBVkJpvurGoKy4eHo1w61a6KJnORuYB\nqJxxTd2aZUzGNUuvPE8PPNNAm1Z+4akGEd1/BEHwDCk3vMBJ4UwA5JvOIVXikP7FqDgkWL5yQ5gG\n2rTqxlypaKvG71FdJoIgiOog5YYTmBTO/Df9slJC6ZelhrGuJGLjkNSLeGZlURFPgjAGc2UG48ly\nQxDmgopnEvpAyo2EYJHWmvgP9c0EYPhmgtWGRGwcknoRz44dG+H8eekU8aQHHiF1eLbc0P3HL7wU\nvWQFZbUk9OGpV25Y1kEh/oObfv236GWhEUUvz5yxxvnzqlawyq89PUt1KibqG5LmzcVvSKT2sGIB\nPfBMg6Q2rYws27zUl2ncmI/kJADdfzxDNYj4hZ7lpuOpV26Y1EHhKV6GF8xcX6YCY4teAlWtHc2a\nNcLFi4ZZO0xRPJMeVkRNIaVNq7GWbfV7+MIFORfuYB4e/Cg3BEEYzvLlVvQsNxEWo9yUlQH5dZtB\n/rgWkP1fJXFlWRHy8v59/bgWFHWbwbGsZi+MSbwMwT1lRhxim8Jyw4KXXjLuRL4ia5syPQWKvALI\nr12DLL8AgPGZ23iBTtFMg6X3K6/3sKSsagTxFGLOdO5Sx2KUm0eFtRDfZQFwCcClR5XfqfRvJ6DL\nAvQszIVTDbePkD5yueHfMYXlhgXLlpUadSJfJWtb/AThn8ZmbuMFqZ2i8aJUSM3SaMwhhymQklWN\nYAelcycIC1JuHGzK0OPUHMjfeB9w9xT+Xq9ePeTl5ZW/yEiFYt2XcAh8x0ytlAiUda1aPD0NdwNh\nEQTM08NKU9a2ivcsGZ5O0VgoJlJTKsyF+v1XVsbHAQVBVAelc+cXynhYc1iMclOrFlDv4W3I7csg\nc/mv2S4udSCrVf5a+bAMioe3Ia9lrlYaD0+FM8VkXdPktmSJLkvqC9Ht2+J97Y0JAubpYSU2axuh\nHywUE14C3wmCIAiiJrEY5UbySKRwpia3JUt0WeJJqSDYI/VTNHNZoniyNLKA15gbgiAsC1pLag5S\nbiQED+mXxRab5Bk6CSd4hhdlTWqHArzGzRGEPlDiCeJphJQbEXVQuIOD9Mu8uS0pi4tQeicJytq2\nkNWuI0pWUpJ45YZF+tYmTSgFLAvUN6X+/uY7RWNh7eC5yKMlo96vzZpRvxKWAyWe4Ac6KKk5nnrl\nRkwdlAp4ipch1EhPRU7Eu5DPXgY08zZ3a5iQksKHBYmXbFysKCw032+zsHbwYrnhFVaWbTs7ho0S\ngdTuP4KQOupr8MCB7nRQYiKeeuWGCRKJlyG0Y2Nj+HekFn9QGVbZuHjZpBkzvjzBq+WGG7cYRpZt\nXuYJZcMjCMuGCvGaDlJuCEIDLE7Ced1wsoBVDBIvm7QWLaT1oDEmM58psHS3GLKIEQRBWBak3BBE\nDWKM6xOv1h+e6sIYg3q/XrggPtU3K1hYO+hUkA1SS5DAK7xYcAmipuDGqi1BSLnhBY4KZ/KQdY0H\n1Dc1np7irS7GKDe8bK6kdoLNS79WBwtrBz04pQWvhxys4MWCSxA1haVbtXmGlBtOEFM4kzmMfNPp\nJE5a2VHU2+rjY5yyJ/VNGi/Qg1NaUDAyQRCEfpByIyU4S2tt6Sdx6ptwpfLpjrlR748nT4xT1Hi2\nmBCELnixiFm6WyhBEISpeOqVG5Z1UMwNi7TWBFtM4cplrs2VKdz0eIKXTSvBN2QRYwNZcAmCMBVP\nvXLDpA4KR/EyhBqNPOG87Cfk1bbV/Vk1WFhdTGG5oc2VaeCpX8ml0wRwZtkWCy/Z8IyFLLgEQZgK\nUm4YwFO8jDk3RTyexMlq14GVeyPIOBgbwLI3JLNnOyI6WtVNr317N+H1oEFPEBGRb7BcsphUxdJd\nOnnE0i3bPGf3IwiC4AlSbiTAkydPkJiYCABYty4Q7u6XhPd8fHxga2u41cIYpH4Sx0IxYZGe11wK\nbEREvory0qRJI1y8mClaLk8WE4LgFUooQBAEoR+k3EiAxMREhIWF/ftqL8LCwoX3YmJi0K5dO/M0\nTGK8806paBksrBTmOtVXPzlWKCw389vTALm2mQZe+lVqCQXIgksQBCtIuZEAPj4+iImJAQBERARi\n9uwYlfcMRmK+6ax42i0M6sqLh4e0EgqYE1O4dLJQgnnZyPMEuQyahqd9fSUIgh2k3HCCsYUzyzdF\nLgA8AADHj9vgyy97C+8bsyli5ZtOJ3FVWb7cSjIbI5m0Do7NCq8unbSR5xdLjt8jCIIwJaTc8IKR\nhTN53RQBdBJXHUlJhmsEvCRqYFH3hyAI46CEAgRBEPpByg1B1CCFhYZ/h2cFluAHXpRgqcFLv9I6\nUDOQKyZBWD6k3Iiog0Joh4eHhDI3G49j90AZ2BsyJxfdX2CM+saouFi8tePuXfP4g5miZg9P8DBf\nKzDGpZPF5peXjbwpMLZgMykVTxfkikkQls9Tr9ywqINibLyMKeApzoWLh0ReDgq2b4DcNwAwg3Jj\nCqSWJYkXuJiv/2Iul05Jb+RZFGwmCIIguOepV26YYGS8jCmgOJdyKmr/KNNToMgrgPzaNcjyC2q0\n7o+p4CWQmJd2EIQ2pLoW8HSQRRAEwROk3BAClYuBOjo6Ij+/vGCjJW4CVGv/AIifAKDm6/6on4Q3\nbSrelYtFIVAWsKj7Q5gO2vyWw3ot4KVf6SCLDVJ2xSSIpxVSbgiBKpuAf9F3E8DTQ6Jy7Z+TJ5uj\na9dbwt/NiTHpk3nq18qw2lyZK9aF135lBYvx4WUjL4bKa4H6oY0xkFIhLSTtikkQTymk3PACB4Uz\nxW4CeHpI2NraCgrZypVumDDBwSztUMfa2vDvSD2Q31yxLjzNV16Rwka+8lrg4uKCbEu/IIIgCEIr\npNxwAqvCmWKgTYDpMUa5IQiCIAiCIPSDlBtC8pgrdTJQ1fUpP58KXxIEQfCKFFwxCeJp56lXbsxd\nB0XKmOshwVMlbxYuZerXc++eZStIvMa6NGnCR6IGgiDMhxRcMQniaeepV26Y1EHhIF6GR3ip1eHj\nY74YFRaKidRiQ3i9npQUqh9E6IanYq8EQRBEVSxHuSkuAgAo79xU+XNJ7n0o88oD35XpKTXeLICP\neJkK6MFblcJC8/22KZIBJCRIaxMuteshpA1PxV4JgiCIqliMcqPMSC3//0+rUNl5JLeKiWW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3LkCKZMmYKuXbsiOTkZM2fOxJtvvolevXoBADw8PLBp0yaMGDFCowwWc57V2ADi11kWa9Jff/2l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\nAREG5UfapLBfc3BwwPr16+Hq6or9+/dj6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_cl_boxplot_with_missing_data(inst_df, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the above figure we have only considered PTMs that were measured in all 45 cell-line measurements. We still observe large differences in the average values of biological replicates, which again leads us to concluded that the systematic differences are not likely to be biological in nature. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Biological Repeat Distances \n", "Above we argued that systematic differences in the average distribution of PTM ratios are not likely caused by 'interesting' biological differences between cell lines because these systematic differences were not reproducible under biological repeat. Based on this, we should normalize the distributions to remove this systematic difference/bias in the cell lines. \n", "\n", "We can also use the biological repeats to investigate the quality of our normalization techniques. First, we expect that the distances (e.g. euclidean distance in PTM space) of identical cell lines will be lower than the average distances all cell lines. Second, we also expect that a good normalization will reduce the distance between identical cell lines. " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }