{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Introduction\n",
"\n",
"This notebook aims to explore the droplet generation and cell/nuclei loading processes which take place in a 10X Chromium device.\n",
"\n",
"To that end, we ran the device channels with increasing numbers of nuclei and with a buffer that did not cause lysis. This way, after collecting the droplet emulsion, we were able to simply count optically the number of nuclei in each droplet. Here is how the droplet emulsion looks like for various concentrations:\n",
"![FigS1a](http://www.medical-epigenomics.org/papers/datlinger2019/data/FigS1a.png)\n",
"For more details on the experimental procedure, please refer to the [scifiRNA-seq preprint](https://biorxiv.org/).\n",
"\n",
"We hoped to gain deeper understanding into the droplet generation, bead and nuclei loading procedures, in order to derive the statistical properties underlying them.\n",
"\n",
"In this notebook we will focus on the nuclei loading procedure and we will use the counts of nuclei per droplet in the resulting emultion to model this distributions and make some predictions about the scalability of Chromium loading and the consequences in terms of nuclei collision (the occurence of more than one uniquely labeled nuclei within a droplet) for the 10X protocol as well as the scifiRNA-seq protocol."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# We'll start by importing the required libraries\n",
"import os\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.ticker import ScalarFormatter\n",
"import seaborn as sns\n",
"import scipy\n",
"from sklearn.linear_model import LinearRegression\n",
"import pymc3 as pm\n",
"\n",
"sns.set(context=\"paper\", style=\"ticks\", palette=\"colorblind\", color_codes=True)\n",
"matplotlib.rcParams[\"svg.fonttype\"] = \"none\"\n",
"matplotlib.rcParams[\"text.usetex\"] = False\n",
"\n",
"savefig = False # Change to True to save figures as svg files"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The data\n",
"\n",
"We'll read a CSV file with counts of nuclei per droplet for different experiments where the Chromium device was loaded with different concentrations."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Load observed counts of nuclei per droplet\n",
"url = \"http://www.medical-epigenomics.org/papers/datlinger2019/data/droplet_counts.csv\"\n",
"droplet_counts = pd.read_csv(url)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" loaded_nuclei \n",
" cells_per_droplet \n",
" count \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 15300 \n",
" 0 \n",
" 509 \n",
" \n",
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" 15300 \n",
" 1 \n",
" 89 \n",
" \n",
" \n",
" 2 \n",
" 15300 \n",
" 2 \n",
" 8 \n",
" \n",
" \n",
" 3 \n",
" 15300 \n",
" 3 \n",
" 2 \n",
" \n",
" \n",
" 4 \n",
" 15300 \n",
" 4 \n",
" 0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" loaded_nuclei cells_per_droplet count\n",
"0 15300 0 509\n",
"1 15300 1 89\n",
"2 15300 2 8\n",
"3 15300 3 2\n",
"4 15300 4 0"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"droplet_counts.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" loaded_nuclei \n",
" cells_per_droplet \n",
" count \n",
" \n",
" \n",
" \n",
" \n",
" 120 \n",
" 1530000 \n",
" 20 \n",
" 2 \n",
" \n",
" \n",
" 121 \n",
" 1530000 \n",
" 21 \n",
" 3 \n",
" \n",
" \n",
" 122 \n",
" 1530000 \n",
" 22 \n",
" 0 \n",
" \n",
" \n",
" 123 \n",
" 1530000 \n",
" 23 \n",
" 0 \n",
" \n",
" \n",
" 124 \n",
" 1530000 \n",
" 24 \n",
" 1 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" loaded_nuclei cells_per_droplet count\n",
"120 1530000 20 2\n",
"121 1530000 21 3\n",
"122 1530000 22 0\n",
"123 1530000 23 0\n",
"124 1530000 24 1"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"droplet_counts.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's calculate relative fractions within experiments for plotting later."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# # split apply combine for fraction normalization\n",
"droplet_counts = droplet_counts.join(\n",
" droplet_counts\n",
" .groupby('loaded_nuclei')\n",
" .apply(lambda x: pd.Series((x['count'] / x['count'].sum()).tolist(),\n",
" index=x.index, name=\"count (%)\"))\n",
" .reset_index(drop=True))\n",
"# droplet_counts['norm_count'] += sys.float_info.epsilon\n",
"\n",
"# # split apply combine for % max normalization\n",
"droplet_counts = droplet_counts.join(\n",
" droplet_counts\n",
" .groupby('loaded_nuclei')\n",
" .apply(lambda x: pd.Series(((x['count'] / x['count'].max()) * 100).tolist(),\n",
" index=x.index, name=\"count (% max)\"))\n",
" .reset_index(drop=True))\n",
"\n",
"# # split apply combine for number of droplets counted\n",
"droplet_counts = droplet_counts.reset_index().set_index(\"loaded_nuclei\").join(\n",
" droplet_counts.groupby('loaded_nuclei')['count'].sum().rename(\"droplets_analyzed\")\n",
").reset_index().drop(\"index\", axis=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The resulting dataframe looks like this:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" loaded_nuclei \n",
" cells_per_droplet \n",
" count \n",
" count (%) \n",
" count (% max) \n",
" droplets_analyzed \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 15300 \n",
" 0 \n",
" 509 \n",
" 0.835796 \n",
" 100.000000 \n",
" 609 \n",
" \n",
" \n",
" 1 \n",
" 15300 \n",
" 1 \n",
" 89 \n",
" 0.146141 \n",
" 17.485265 \n",
" 609 \n",
" \n",
" \n",
" 2 \n",
" 15300 \n",
" 2 \n",
" 8 \n",
" 0.013136 \n",
" 1.571709 \n",
" 609 \n",
" \n",
" \n",
" 3 \n",
" 15300 \n",
" 3 \n",
" 2 \n",
" 0.003284 \n",
" 0.392927 \n",
" 609 \n",
" \n",
" \n",
" 4 \n",
" 15300 \n",
" 4 \n",
" 0 \n",
" 0.000000 \n",
" 0.000000 \n",
" 609 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" loaded_nuclei cells_per_droplet count count (%) count (% max) \\\n",
"0 15300 0 509 0.835796 100.000000 \n",
"1 15300 1 89 0.146141 17.485265 \n",
"2 15300 2 8 0.013136 1.571709 \n",
"3 15300 3 2 0.003284 0.392927 \n",
"4 15300 4 0 0.000000 0.000000 \n",
"\n",
" droplets_analyzed \n",
"0 609 \n",
"1 609 \n",
"2 609 \n",
"3 609 \n",
"4 609 "
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"droplet_counts.head()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" loaded_nuclei \n",
" cells_per_droplet \n",
" count \n",
" count (%) \n",
" count (% max) \n",
" droplets_analyzed \n",
" \n",
" \n",
" \n",
" \n",
" 120 \n",
" 1530000 \n",
" 20 \n",
" 2 \n",
" 0.003185 \n",
" 2.564103 \n",
" 628 \n",
" \n",
" \n",
" 121 \n",
" 1530000 \n",
" 21 \n",
" 3 \n",
" 0.004777 \n",
" 3.846154 \n",
" 628 \n",
" \n",
" \n",
" 122 \n",
" 1530000 \n",
" 22 \n",
" 0 \n",
" 0.000000 \n",
" 0.000000 \n",
" 628 \n",
" \n",
" \n",
" 123 \n",
" 1530000 \n",
" 23 \n",
" 0 \n",
" 0.000000 \n",
" 0.000000 \n",
" 628 \n",
" \n",
" \n",
" 124 \n",
" 1530000 \n",
" 24 \n",
" 1 \n",
" 0.001592 \n",
" 1.282051 \n",
" 628 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" loaded_nuclei cells_per_droplet count count (%) count (% max) \\\n",
"120 1530000 20 2 0.003185 2.564103 \n",
"121 1530000 21 3 0.004777 3.846154 \n",
"122 1530000 22 0 0.000000 0.000000 \n",
"123 1530000 23 0 0.000000 0.000000 \n",
"124 1530000 24 1 0.001592 1.282051 \n",
"\n",
" droplets_analyzed \n",
"120 628 \n",
"121 628 \n",
"122 628 \n",
"123 628 \n",
"124 628 "
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"droplet_counts.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's visualize the fraction of empty vs filled droplets per experiment:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# Get droplet empty/fill rates\n",
"empty_rate = (\n",
" droplet_counts.set_index(\"cells_per_droplet\")\n",
" .groupby(\"loaded_nuclei\")\n",
" ['count'].apply(lambda x: x.loc[0] / x.sum())\n",
" .rename(\"empty_rate\"))\n",
"fill_rate = (\n",
" (1 - empty_rate)\n",
" .rename(\"fill_rate\"))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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eERF5iJo6dgKirQLW0uOoLvbeOkbkCo/9fAAWqx2f3Nyb74fIbbXpBk3p3xUybTAAAXKfKCj9u0odSRJllVY8tPwAXrjKiE5BvOYZEZGnUPp3hcKvMyBTAg4rCjc+gurCg1LHIvJIP+zLxv92nkbSrP7w1fBUD3JfbbpBExRqRM7cCQhyBF/xgdcuC3luVQYCdUo8Oqaz1FGIiKgJBIUaUbN2I3LGn4i6/SAU2hBkLRyIwk1PwlFdLnU8Io9xtMCMe37Yh7eu64H+Uf5SxyG6rDbdoAGAQt8Ouk5Xw3x4idRRJLHrVAk+3nYCn9zcm9c8IyLyQIJCDVVwHJT+XRA6KRHhN/6KihMrkbkgDqb0RRBFUeqIRG6tymbH9O92Y1xMMB4YES11HKIGecU7dn1sAsyHfoRot0odpVXZ7A7MWbIPdw5uj+HRgVLHISIiF9B2uAKRM3fDr//DKFj3AHJ+vArVBalSxyJyW0+tSEOBuRpfTO3D887II3hFg6brNAmivQoVJ9dIHaVVzd96HFmllfjvNd2ljkJERC4kyJXwG/AIomanQm6IQFbiYBRu/CccVaVSRyNyKz8fyMFH204gadYABOhUUschapQWadCsVisefvhhzJgxAy+//HKd+959911MmzYNd999N0wmU0sc/iIypQ76mBthykhqleO5g9MlFXhhVQbeub4nX5CIqFW5Ww1oDk/5HhSGCIRO/AbhU1ah4tQ6ZC6IQ3nad1z2SATgVLEFdyTtxasTu2NIxwCp45AHkboGtEiDtmbNGvTo0QOJiYmwWCxISUkBAJSVlWH79u1YvHgxxo4di59//rklDn9J+tgEWI7+Ake1+74hcKUHl+3H8OgAJPSLlDoKEXkZd6wBTeVp34M2ajQiZ+yE38DHUbj+IZz54QpU5e+TOhaRZKx2BxK+S8bw6AA8MpqbpFHTSF0DWqRB27dvHwYNGgQAGD58OJKTkwEAPj4+aNeuHaxWKywWC/R6fUsc/pK07eMhU/nAcvSnVjumVJannsHqjHx8NIXX+CCi1ueONaCpPPF7EORK+PV/EFGzD0DpF43sxKEo3PAI7JUlUkcjanXPr8rAqZIKfDW9L2QyvheippG6BihaYlCTyQSdruZ6W1qtFmazGUDNdGFVVRWuueYaWK1WLF269KLnzp8/Hx988IHLMwkyBfTdboEpYzEM3We6fHx3UV5pw4PLUvHslV3RJdh93jgQUdthNBrr/Hvu3LmYN29e7b+dqQHuwh3rWGMp9OEImfAVfOLuRuH6B5H5TRwCR7wKQ49ZEASvOPWcvNyq9Dy8s/Eo1s0ZhmC9d15iiS7P3etYizRoer0eFosFAGCxWGAwGAAAmzdvhp+fH9auXYvNmzfj7bffxiuvvFLnufPmzavzAwIu/iE2lyE2AdmLR8NuyYNcF+qSMd3NC6vT4aNW4PGxMVJHIaI2KiMj47L3O1MD3IW71rGm0ESOQMSMP1GW8ikKNz6K8tQvEBT/HtSh/Vo9C1FryS6txG2L9uBf47thVOcgqeOQm3L3OtYiH6XFxcVh586dAIAdO3agT58+AACdTgetVgsACAkJqe1GW4sqbCAUfp1gPvRjqx63tSRnluCDrTXXPFMp+CkpEUnDXWtAU7SF7wGoWT3i1/cBtJ99AMqAbsheNBwFfzwIe2Wx1NGIXM7uEDFzYTL6Rfri6Su6Sh2HPJjUNaBF3sVPnDgRaWlpmDZtGuRyOaqrq5GYmIihQ4dCFMXaHVEu/ISxpQmCAINxGkzpi1r1uK3B7hAx58cUzB7Ynp8YEZGk3LUGNEVb+B7OJ9eHIWT8F2h3yx+oOrMdmQt6ojz1K4iiQ+poRC7z0tpDSM834ZuE/jzvjJwidQ0QRA/Yi9doNDY4FdlY1uJDyFwQh6g70qH0azu7+szfchwvrT2EtCfiEaTntvpE1DJc+XrsTdzp5yY67Cjf/zmKt70AZUC3mmWPYQOkjkXklD8OF+Dqz3dg5T1DMK5riNRxyI250+txfbxuHZwyoBtUYQNgSm8710TLLKnAcyvT8fb1PdicERHRZQkyOXz7zKnZ7TGoJ7KTRqJg3QOwVxRKHY2oWXLLqzArMRlPXRHD5ozaBK9r0ADAYEyAOX1Rm7mQ58M/pWJQe3/M6h8ldRQiIvIQcl0IQq76FO2mbkRV7m5kLuiJsv1fQHTYpY5G1GgOh4jbFiWjW4geL1zVTeo4RC7hlQ2a3ngLrCWHUZ2/V+ooTvvlQA5+PZiHj27qxWueERFRk2naDUbE9K0IGP4Sirc+h+zFI1GVs0vqWESN8vr6I9iTVYaFM/tDIffKt7XUBnnl/2SFvh007eM9fpmjucqGectS8fS4GHQLMUgdh4iIPJQgk8O39z2Imn0A6pB+yF48Gvm/z4G9okDqaET12nK8EP9anYEF0/si0k8rdRwil/HKBg04u8wxY7FHL+V4cc0haJQyPHUFr3lGRETOk2uDEHzlR4iYthnV+SnI/LonyvZ96tG1ktqmQnM1ZnyXjEdGd8bE7mFSxyFyKa9t0PQxN8JRWYjKrE1SR2mWfdmleG/zMXxyU2+oFXKp4xARURuiDh+IiOlbEDjqNRRvfxHZScNRmb1D6lhEAABRFHF70h5E+Wvx8sRYqeMQuZzXNmgytS+0nSd55DXRzl3zbGb/SIyNCZY6DhERtUGCIINP3J2Iuv0A1OGDceaHeOSvuQd2S57U0cjLvbvpGLadKMaimf2h5Hln1AZ59f9qgzEBlsPL4LBVSh2lST7dfhJHCsx487oeUkchIqI2Tq4JRPAV8xGRsA3WonRkLohD2d6PIDpsUkcjL7TzVDGe/i0N/5vWFx0DdVLHIWoRXt2g6aKvBgQBFSdWSh2l0c6UVeKZlWl449oeCNarpY5DREReQh3aD+2mbUTg6DdR/OcryE4cisrsbVLHIi9SUmHF9G934/7h0bghLlzqOEQtxqsbNEGhhr7rTR61zPGRnw6gb4Qvbh/UXuooRETkZQRBBp+esxE1OxWayJE488M45K++E3ZzrtTRqI0TRRF3f78XQXoVXp/UXeo4RC3Kqxs0ANAbp6Pi+ErYK0ukjtKglWm5WJZ6Bp/c3JvXPCMiIsnINQEIiv8/RCRsh7X0GE4v6InSPfO57JFazEfbTmDtoQIkzRrAzdGozfP6Bk0TNQoybQgsR5dLHeWyLNU2PLB0P56Mj0FsqI/UcYiIiKAO7Yt2t6xH0Nh3UbrrDWQlDkZF5mapY1EbsyerFI/9fBCf39IHXYL1UschanFe36AJggwG41S3X+b4n7WHoZDL8My4rlJHISIiqiUIAnx63Iqo2anQRsUjZ8l45K2aDZspW+po1AaUV9ow7dvduGNwe0ztGyF1HKJW4fUNGlCzzLHy9AbYTFlSR7mk/WfK8M7Go/hoSi9olJzWJyIi9yNT+yFo7NuInPEnbOWnkbkgDqW734Vot0odjTyUKIqYsyQFOqUc71zfU+o4RK2GDRoAVUgfKANjYT70g9RRLuI4e82zaX0jcGW3EKnjEBERXZYqpDfa3bwOweM+QOnud5G1cCAqTm+UOhZ5oC93nsLPB3KQdGt/aPkBNXkRNmioWZ5hiE1wy2WOX+w8hfQ8E96+jp8cERGRZ6ipqzNqlj1GT0DOsonI+22W265UIfeTeqYMDy5LxUc39eK59+R12KCdpTdOQ3XeHlQXpUsdpVZOWSWeWpGG16/tjlAfXvOMiIg8i0zti6DRbyBy5i7YLbnIXBCHkr/egmivljoauTFzVc15Z9P7RuLWAbysEHkfNmhnKf06Qd1uGMxuNIv22C8H0TPMgDsHdZA6ChERUbOpgnoi/KY1CL7yE5Tt+QBZ3w1Axal1UsciNzVveSoAYP7kOImTEEmDDdp5DLEJMGUshiiKUkfBmow8/JiSjU9u7gOZjNc8IyIizyYIAgzGaYiavR+6zpOQs/x65K6YDlv5aamjkRv5dvdpJO3JwuJbB0CvVkgdh0gSbNDOo+92M2zlp1CVs1PSHBVWO/6xdD8eG9MFPcO57pqIiNoOmcoHgaP+i8hZf8FRWYLMBb1QsvN1iLYqqaORxNLzyvGPJfvx/uQ4xLXzlToOkWTYoJ1Hrg2GtuN4yZc5vvL7YQDAc1fymmdERNQ2qQK7I3zKSoSM/wJlKZ8ia2F/WE6skToWSaTCasf0b5Nxfc9w3DWYp3aQd2ODdgGDcRpMh36A6LBJcvyDOeV4c8MRfDilF3QqTu0TEVHbJQgC9N1uRtRtKdB1uRG5P09G7i+3wFp2Uupo1Moe/fkALFY7Pr6pFwSBp3aQd2ODdgFdl+sh2iySnLzscNRckPGmXu0wwRja6scnIiKSgkxlQODIVxA5Kxmi1YKsb3qj+M9X4bBVSh2NWsH3e7Px1c7TWHzrAPhqlFLHIZIcG7QLyJR66LpcL8k10b7adRr7z5Thnet5zTMiIvI+qkAjwib/ipCrv0Z56v+Q9V1/WI6vlDoWtaCjBWbc++M+vH19D/SL9JM6DpFbYIN2CQZjAixHf4LDam61Y+aVV+GJXw/itWu6I9xX02rHJSIicieCIEAfMxlRt6VA3+1m5P56C3J/ngJr6XGpo5GLVdnsmP7dblzZNRj/GB4tdRwit8EG7RK0HcZBUGhhOfZrqx3z8V8PwhhqwL1DO7baMYmI3JWtPBN5K2/FmaXXoCzlc1Rm75A6ErUymVKHwOH/QdSsPRAdNmR90wfFO16Cw1YhdTRykSdXpKHQXI0vpvbleWfU5jhTx9igXYIgV0Lf7ZZWW+a47nA+Fu3Jwic39eY1z4iIABT8Pge+ve8DHFZoO8SjaONjUkciiSgDuiLshp8Qcs13MB38Flnf9G3VD1CpZSxPPYOPt53AolkD4K/leWfU9jhTx9ig1cNgTEDFyTWwVxS06HEqrXb8Y8l+PDK6M3pH8JofREQAIDqs0ESOBCBA6R8DQaGVOhJJSBAE6Ltcj8jb9sHQfQbyViQg56cbYS05KnU0aoaTRRbcuXgfXp3YHUM6Bkgdh6hFOFPH2KDVQ91uCBSG9jAfWtKix3ntjyOotjvwwlXdWvQ4RESeRKbyRXnadxBtFTAf/RkyNTcPIECm0CJg2L8QeeteAEDWt31RvP1FOKwWiZNRY1ntDsxYmIyR0YF4dExnqeMQtRhn6hgbtHoIggB97DSYMpJa7BjpeeV4/Y+aa57p1bzmGRHROcFXfQ5rwQHINIGozNqC4Ks+kzoSuRGlfxeE37AcoZOSYEpPQtY3fWA+8hNEUZQ6GjXguZXpOF1Sga+m87wzatucqWPsCi7DEJuA0p3/hbXsJJS+rt28QxRF3P/jflzfMwzXdA9z6dhERJ6u9K83EDjqtdp/F65/GEHx/ydhInJHus6ToOkwDqV/vYX8lbdCEzUGQWPfgTKgq9TR6BJWpuXi3U3H8Mf9wxCkV0kdh6hFOVPH2KBdhiqwO1QhfWFOT4L/4CddOvaXf57CrtMl2P/PsS4dl4jIk5WlfIbSv96C3ZxTZ4m5wi9aulDk1mQKDQKGPgdD95ko2vhPZH7XD379H4H/4KcgU+qljkdnHSs0Y2ZiMp67sitGdgqSOg5Ri3FFHRNED1gPYDQakZGRIcmxS3e/g/KD3yLq1j0uG7PQXIWwF9dALhPQOVCHvY+NgVohd9n4REQtpbVej0t2vQn/QY+3+HFai5R1zNtYjq9C4cZHIdqrEDT6TehiJnMpncT2ZpZi2AdbYLU70DVYz/c9JClPqGMNzqDZHSL+t/MUTpdUID4mGHHhPggxqJt1ME+kN05D0eanUZ2fAlVIb5eM+dmOk3CIgMMu4nRJJQ7nmxHXjjs4EhGdo+14JYo2Pw3RYQMgwm4+g9BrFjZrLG+vY95G1+lqaNvHozT5HeSvvgPq/V8gaOy7UAUapY7mdcorbfj32gy8t+kYAMAhgu97yGs4U8ca3CTk7u/3Iqe8Cr8fLkCl1Y7bFrluJskTKAyR0ESNcek10TYeKUSAVgmdUo72/hp0DeESDCKi8xWsvQ+q4DjYyo47vUzN2+uYNxIUavgPfhqRt6VApjIg67v+KNryDBzVJqmjeQVRFLFoTxZi3/gDK9Py8PNdgxETrOf7HvIqztSxBhu0kyK0ZfAAACAASURBVMUVeP6qbtAqZJjYPQymKluzg3oqQ2wCTIe+hyg6nB4rr7wK644W4pc7B2PHgyM5zU9EdAkybRAM3WdCpvZHwPB/w27OafZYrGPeS+nbEWHXfo+wG5bDcvQnZH7TG6ZDP3C3xxaUeqYMV3y8Hff9uA+PjO6CPY+OwcTYMOx9bAzf95BXcaaONWqb/eOFNdcXySuvglLufTvz62Imw27JRWXWVqfHWrwvG50DdRgWHYC4dr58kSIiugRBpkJVzi6ItkpUZu+A3ZLr1HjeXse8na7jVYicmQzfPnNQsOYe5CydiOqiNKljtSmlFVY88lMq+r+7CRF+GqQ9EY9/ju0ClaLm902tkPN9D3kVZ+pYg1Xq/26Iw6zEZOzNLsOUBbvw5nU9GhzUarXi4YcfxowZM/Dyyy/XuW/JkiWYPn06pk6d6jEnTMs1/tBFT4TZBcscE5MzMaN/JE9YJqI2yxU1IOiK92GvKoH/4CdRuvtt+A95ttl5WMcIOLvscdATiJq9H3JNILK+G4CizU/BUV0udTSPJooivt19GrFvrMfvhwqw5t6hWDizPyL9tFJHI2o2qetYgw3awdxybJ03EoUvXY0tc0ciJbuswUHXrFmDHj16IDExERaLBSkpKQCA4uJiLF++HAsXLsSrr76K06dPNzqo1AyxCTAfXgLRXt3sMY4WmPHnqRLM6BfpwmRERO7FFTWgeMsz0HW8CqrgXgi77gcYYhOanYd1jM6n8GmP0EmJCL/xV1iO/4bMBb1gSk/issdm2JddijEfbcPcpal4Ir4Lkh8djbExwVLHInKa1HWs3l0cf9iXjZVpeVh9KA9rDuXX3CgCu06X4I7BHS476L59+zBx4kQAwPDhw5GcnIzevXsjJSUFHTp0wAMPPAC5XH5RR+rOtJ2ugSjaYTmxCvou1zdrjMQ9WRjU3h9dQwwuTkdE5D5cUgNEBywn10Lp3xWCUPNZosL38rXnQqxjdDnaDlcgcuZfKN0zHwXr7kd56pc1uz0Gx0kdze2VVFjxwuoMfLztBBL6RmDxrQPQzlcjdSwil5G6jtXboF3ZNRihBhVyyisxe2AUAEAmCHh5YmyDg5pMJuh0OgCAVquF2WwGAJSUlODgwYNISkrCunXr8Nlnn+HJJ+teAHr+/Pn44IMPGhW+NckUGuhjJsOcntSsBk0URSQmZ2LO8GjXhyMiakVGY93tyufOnYt58+bV/tuZGnCOvaIApbveOO8WAe1uXtOknKxj1BBBroL/wMdgiJ2Oos1PIStxMHz7PICAoc9DpuY28BdyOER8szsTT604iDAfNf6YMwyjOvOi0+R53L2O1dugBehUGNMlGP0i/bD1eBGsDhGiCBzIyWmwydDr9bBYak7ItlgsMBhqZoz8/PwwYMAAqNVqDB06FEuWLLnoufPmzavzAwIu/iFKxRCbgNyfboSjqqzJL9zJWaU4XGDGtD4RLZSOiKh1NHTelTM14Jx2N691OifrGDWWwhCJ0InfoiLubhRueAjmjMUIHPUa9LEzeM74WXuySjF36X4cyC3HfyYY8Y/h0VBwwx3yUO5exxr8zbrxq11Ysj8H//3jCP5v0zH8crDhHUji4uKwc+dOAMCOHTvQp08fAED37t2RkpICu92O1NRUREdHNzu4FDRRYyDTBMB8dHmTn5uYnIUru4YgnEsAiKiNc7cawDpGjaVtPwaRM3bBb+CjKFj/IM78OA7V+SlSx5JUsaUaDyzdj8HvbUa3ED0ynrwCD47qzOaM2jSpa0CDv112h4gvpvZBbKgB6+YMQ3kjrh8zceJEpKWlYdq0aZDL5aiurkZiYiLCwsJw7bXXYtq0afj0009x7733uuSbaC2CTA59t6kwpSc16Xl2h4ikvVlI4OYgROQF3K0GsI5RUwhyJfz6P4yo2alQ+HRAVuIQFG54FPbKEqmjtSqHQ8SXf56C8fX12H6iCBvuH46vpvdDmI9a6mhELU7qGiCIDWxbdOUn2/Hj7IG474d9WDizPwb83ybse2xsi4Spj9FodJutjKtyk5GdNBzt7z4BhT68Uc9Zdzgf1325EzkvjoevRtnCCYmIWk5rvR7nrUiAocdsaKMnOL3EjHWMnFGZtQUF6x+E3ZKHwJGvwtB9Vu0J/23V7swSzF26Hxn5Zrx0tRFzhkVDLuNST2obPKGONfgK89QVMViYnImpfSPQ+dV1iPfy7VNVof2g9I+B+dAPjX5O4p4sXN8znM0ZEVEj+Q99HpWZG5G9aBiKtjyD6qLmF1PWMXKGJnIkImfshP+gp1C44VGc+T4eVXl7pY7VIgrN1ZjzYwqGvr8FPcJ9kP5EPB4Y0YnNGVEzOFPH6t0k5JzdmaV48ooYAMBNvbnBhSAI0McmwJS+CH795jX4+EqrHUtSzuCbhH6tkI6IqG1QBfVA4KjXYCvPRNGmJ5C9aCjU4UPgP+QZaKNGN2ks1jFyliBTwK/fXBi63YKiLc8ge9Ew+PS+FwHDXoRcEyB1PKfZHSK+3HkKz/yWhugAHTY/MAJDO3r+90UkJWfqWIMzaOsO58PciPX63sRgnIbq3L9gLT7c4GNXpOVCLgi42hjaCsmIiNqG8rTvkLN0EvJXzYa245XocM8phE5ahKINjzZ5LNYxchW5PgwhE75Eu1vWoSp7GzIXxKH8wNcQRYfU0Zpt56liDHt/M55ekYaXr47Fnw+NYnNG5ALO1LEGZ9COFloQ9MJqtPNVQ0DNDNLRZ8a5IrfHUvrHQB0+GKaMJAQMff6yj01MzsLNfdpBpWjb69WJiFzJWpSOwLHvQBVYsz296LBBJlMgcOw7TR6LdYxcTRMxHBEJ21G+/3MUbXoC5fu/QFD8+1CH9Zc6WqMVmKvw9G/p+HrXadwxqD1+u2cIgvXcAITIVZypYw03aCxil6SPTUDZ3g/hP+S5ek/8K6mwYkVaHtbcO7SV0xEReSZ7RSFEqxlV2Tvg2/s+2MpOQYSI/N9mIWL65iYvbwRYx6hlCDIFfPvcD33Xm1C09TlkJ42AT9xdCBjxH8g1gVLHq5fdIeKzHSfx3Mp0xATrsW3uSAzq4C91LKI2wxV1rMEGjS7N0PVmFG38J6pzd0MdPvCSj1mScgZhPiqM7OS+L9RERO6kMmszyvZ+iOqCFOSvvrPmRkEGTYd4aYMR1UOuC0XIVZ/BJ+4uFK5/EJlf90TAiJfhE3eH2+32uP1EEeYtS8XJYgv+O6k77hrcATJuAELkUq6oY2zQmkmuD4O2wziYMpLqbdASkzMxvW8kX/yIiBpJH3Mj9DE3wnJiDbQdxsFekQ+5LszprfaJWpqm3RBETN+G8tQvUbzlGZSnfong+PfrfY/QmvLKq/DUb2n4dncm7h7SAavvHYogvUrqWERtkivqWL0N2qliS71P6hCga1rSNkofOx3Fm59B4KjXIcjkde7LKq3AhmOFePeGOInSERF5LrG6DJkL4iDXhcBRWYTAse9C1/GqJo3BOkatTZDJ4dv7Xui7TkHx1ueRvXgUfHrejoARL0Gubf3LO9jsDnyy/SReWJ0BY4geOx4ciQFRXM5I1BqcqWP1Nmi3J136Gh8CgHX3D29W0LZG3+UGFK57AJWn10Pb8co69yXtyUbPMB/0jvCVKB0Rkecq2fU6IhK2Q67xh72yGLnLrm1yg8Y6RlKRa4MRfOXH8Im7EwW1yx5fgk/cXRd9oNtSth4vwtxl+5FVWom3ruuB2we254oeolbkTB2rt0H7g8WrQTKVD3Sdr4MpfdFFDVrinkwk9IuUKBkRkWeTaUMgU9d8wCXXBEBQ+zV5DNYxkpo6fBAipm1B+YGvUbz1OZSnfomg+PehaTekxY6ZW16FJ389iIV7snDf0I546WojAnRczkjU2pypY/U2aJ1f+f2itZKiKHJ74gsYYqcjb9VsBNk+gEyhBQCk5ZZjT1YZls4eJHE6IiLPJAhyZC8aDk3EMFTl7YFotSB/zT0AgJDxnzdqDNYxcgeCTA7fXndBH3Mjirf9C2e+HwtD91kIHPkK5DrXXSPVZnfgw20n8K/VGYgL98Guh0ahb2TTP9ggItdwpo7V26Ade/bK+u6i82g7jocgU6Li2Arou90MAFiYnIWRnQLRMZDnOBARNYffoMdrv9bFTG7WGKxj5E7k2iAEj/sAPnF31uz2uCAOAcP/DZ9e9zq97HHT0ULMW74fueVVeO+GONw6IIrLGYkk5kwdq7dBm7kwGQtn9r/kJ5D85PFvglwFfdebYUpfBH23myGKIhbtycLjY7tIHY2IyGPJdWGwHPsFoq2y9raAoc81aQzWMXJH6rD+aDdtE0wHv0HRlmdQnvo/BMW/B01E05fknimrxBO/HkTS3mz8Y3g0/j3BCH+tsgVSE1FTOVPH6m3Q+pzd3OLLaX0RH9P6Ow95EkPsdJxZMgH2ymLszBFxuqQCN/dpJ3UsIiKPlbdiOnx63gG5b/OXgLGOkbsSBBl8et4OXZcbULz9RZz5YRwMsQkIHPka5PqwBp9vtTswf8tx/HvNIfSJ8MXuh0dzUzIiN+NMHau3Qfviz1MI0qnwzsajePKKmDr33TawfdNTtmHqiOGQ69vBfHgpFh4ejKuNoQjWq6WORUTksRQ+HeDX/0GnxmAdI3cn1wQgOP49+PS8HYXrH8bpBT0RMOxF+PaZA0F26bdoG44UYO6y/SiyWPHhlF6Y2T+S1wkkckPO1LF6G7RvE/phzaF8VFjtOF7097VkBPBF4EKCIIPBOA3l6Yn4ITUK793Ia58RETlD33Uy8lbeCmWAsfa2pi5xZB0jT6EO7Yd2U9fDlPZdzbLHA/9D0Nj3oI0aVfuYrNIKPP7LQfyYcgZzR3bCi+O7wVfD5YxE7sqZOlZvgzakYwCGdAzA9T3D0CeCuwA1xBCbgNK/3oSP/TZc14PnNhAROaMs5TMYYhMga8b2+uewjpEnEQQZfHrcBl3n61Gy4z/IWTIeeuNU+Ax7FR8kV+Cl3w9hQKQ/kh8Zjbh2XM5I5O6cqWP1NmjnsKg1jio4DjnyLni84z7o1bOljkNE5NHk2mD49ZvnkrFYx8iTyDX+CBr7Dnx63o4jv/0D+f/riZyqGfh8yhOY2r8jlzMSeQhn6liDDRo1jrnKhkWlI3C/7g+poxAReTxBqUPur1OhCu4FnF2S2NQljkSe6nRJBf65shrLDjyJD/umY57pfSgObkNl6HvQth8jdTwiagRn6pisoQfckbSnzr+nfL2r6Qm9wM8Hc7HBNgaa8oOoLjwgdRwiIo+m63QNdJ2vhcK3IxS+HaDw7dDssVjHyFNU2ex4bd1hdH99PQotVux9dCzumfE4Osw+AG2Hq5CzbCLyfpsFmylL6qhE1ABn6li9M2ifbDuBN9YfQU55FTYdK4IoipDLBIyIDnRJ6LYmMTkTY/r0hcY2Cqb0RQgc8bLUkYiIPJYhdgbKD3wNuykTmqixUAX1bPIYrGPkSdZk5OHB5akwV9vx1fS+uLl3u9rljDK1L4LGvAmfnrNRuP5hZC7oBf8hz8Kv3zwIcpXEyYnoUpypY/U2aHOGR2PO8Ggs2HUaswdxO+LLKTBXYXVGPjY9MAL60uko3fUGAoa/xHXiRETNVLD2Pij8O6Pi5Dqow4cif/UdCJ/8a5PGYB0jT3CyyILHfjmAXw7m4pHRXfDclV1hUF/67ZkqOA7hN6+FOWMxijY/CdOBrxEU/x60Ha5o5dRE1BBn6liDSxz7Rfph9Idb0futDXht3WH8fCDH6cBtzfd7z6BjgBZDOvhD3+0m2MzZqDqzXepYREQey1Z+CgFDnoWg0EDX6Wo4rKZmj8U6Ru6o0mrHy78fQo8316O8yoaUx8biv5O619ucnSMIAgyx0xE1OxW6zpOQs/xa5K1IgK08s5WSE1FjOFPHGmzQHlqeim8S+iFYr8J9wzripbWHnArbFi3ak4mEfjUXipRrAqGLngBT+iKpYxEReTRr6XEAAuyWPAiy5l/viXWM3M3KtFz0fnsjPt9xEt/O6I9V9wyFMdTQpDFkKh8EjvovImf+BXtlETIXxKFk1xsQ7dUtlJqImqq5dazBBk0QgOhAHQQAgToVfBr4ZMfbnCiyYOuJYszoH1l7m944HeZDP0K0WyVMRkTkuYLGvI38VbNRnb8Pub/cgsBR/232WKxj5C6OF1ow+audmPz1X5jaJwIHH4/HlF7tnDolQhXUA+FTViF4/Oco2/cxsr7rB8vJtS5MTUTN4Uwda7BKRQfo8NLaQyiusOK9zccQ6adxKmxbk7gnC/0j/RAb6lN7m67ztSj4fQ4qTq2FrtM1EqYjIvJMqpDeiJi2ySVjsY6R1Cqsdryx/ghe/+MI4mOCsf+fY9A1pGkzZpcjCAIM3W6BLnoiSna+ityfboSu8yQEjX7LqR1Qiaj5nKljDc6gfXpLbwTrVRgWHQiZIODLqX2bdaC2SBRFJCZn1pk9AwCZUgd9zI1c5khE5AZYx0hKvxzIQa+3NuDrXaexaNYA/HrXYJc2Z+eTqQwIHPkqImclw1FtQuY3vVCy8zWItqoWOR4RtYx6Z9C++et07dd6lRyD2/tDEICkvVm4bSB3wwKAlDNlSMszYVrfiIvu08cmIO+XW+CoNkGmapkXYiIiqh/rGEnpaIEZD/+Uit8PF+CJ+Bg8Gd8FOlXrLK9VBRoRPnkFLEeWoXDT4yg/+C2CxrwDXaerW+X4ROScemfQjhdZ6vw5WVxR+zXVWJichfguwYj00150n7Z9PASVAZZjP0uQjIjIs+WvvqvOv3N/ubnJY7COkRQs1Ta8sCodcW9tgAABqf8ci39PMLZac3aOIAjQd52CqNtSoO96E3J/vRm5P98Ea+mJVs1B5K2cqWP1vlr8a7wRAOBwiFiWegaHC8yIC/fDtT3CmhmzbXE4RCTtycKLE4yXvF+QKWDoNhWm9CQYYme0cjoiIs9UlvIZSv96C3ZzDiqztgAQAUEOTcSwJo/FOkatSRRF/HQgB4/+dAAymYAfbhvoFv/XZEo9Ake8BJ8et6Fww6PI+qY3/AY9Ab+B/4RMwfMxiVzNFXVMEEVRvNwD7kjaA0EQMKSDP3acLIafVon/uyHO2exNYjQakZGR0arHbMjGowW4+vM/kfOv8fDTXnrbzKqcXchePBod7jkJuS60lRMSEblea70elx/8Bj49bnPJWKxj1NIO55vw0PJUbDhaiKeu6Ion4rtAo5RLHesioijCcvRnFG38JyCTI2jM29B1niR1LKJW5Ql1rMH59kP5ZmydNxIAcN+waIyYv6VZB2prFiZnYVL30HqbMwBQhQ2Ewq8TzId+hG/ff7RiOiIiz6YO6Yvs7+PhqCqBwTgdyqAe0He5rlljsY5RSzFX2fDqH4fx9oZjmBgbggOPx6NTkE7qWPUSBAH6mBug7XgVSv96A3krpkPTYRyCxr4DpV9nqeMRtSnO1LEGd3GMDTNgb1YpgJpPiLq48QtPa6my2fFjyhnM6B912ccJggCDcRpMGUmtlIyIqG0o3PAoQiZ8Bbk2GD6970HJn680eyzWMXI1URSxJCUbPd5cjx/2ncHS2wdi2R2D3bo5O59MqUPAsBcReeteAEDWN31QvP3fcNgqJE5G1HY4U8canEHbm1WKmxb8Bb1KDnO1HaIoovMrv0MQBBx9ZpxTwT3VyvQ8iKKIa2IbXrZoiE1AyZ+vwFp6jJ9OERE1liBA6RcNQIBcEwiZyqehZ9SLdYxcKSPPhAeX78eW40V4ZlxXPDbGPZczNobSvwvCb1gOy7FfUbjhMZjSFiJwzFvQdb7OqYtnExGcqmMNNmi7HxkDURSRZ6pGiF4FmYy/sIuSs3BT74hGvSArA7pBFTYApvQkBAx5phXSERF5PoVvRxT/+QocVcUo3TMfcsPFlzNpLNYxcgVTlQ0v/34Y7246iut6hOHg4/HoGOgZM2YN0XW+FpoO41D611vI/20WNO3H1ix79I+ROhqRx3KmjjW4xHHtoXzEvr4ek7/ehW6v/4EVB3OdCuvpyiqt+OVgLmb0i2z4wWcZjAkwpy9CA/uxEBHRWcHjPoZcEwx1u2GAIEPIVZ83eyzWMXKGKIr4fm82eryxHstTz+DnOwfjx9mD2kxzdo5MoUXA0OcReds+CDIFMr/ti6JtL8Bh5WUpiJrDmTrW4Azai6szsG3eSATpVSg0V+OaL/7EJDfYNlYqS/fnIFCnwpguQY1+jt54C4o2P4Hq/L1Qh/ZrwXRERJ6t/OC3tV8LSh3U4QMBCDBlLIZPj1ubNSbrGDVXWm45Hlyeiu0nivHcVV3xyOjOUCs8czljYyn9OiHs+qWwHF+Jwg2PwpSWiKAxb0LX5UYueyRqBFfUsQYbNEEAgvQqADV/q+Te/cuZmJyJ6f0iIG/CEhmFvh007eNhSk9ig0ZEdBm2shMX3CIAcG71AesYNVV5pQ3/WXsI720+hslx4Uh7Mh7t/bVSx2pVuk4ToWkfj9Ld7yB/1e3QRIxEUPy7UAZ0kzoakVtzRR1rcIljv0g/3JG0B5/tOIk7F+9F30i/Bge1Wq14+OGHMWPGDLz88ssX3b9v3z5MnTq1SUHdwZmySvxxpKBJyxvPMRgTYM5YDNFhb4FkRETuw5kaEDD0eQQMfR7+Q56FKqgnBLkK6tD+CBj6fLPzsI5RY4miiEV7stD9jfVYkZaL3+4egsW3DfS65uwcmUKDgCHPIPK2FAhKHTK/7YeiLc/CYTVLHY2oRUldxxps0P49wYgpvdqhtMKKG+PCMX9yrwYHXbNmDXr06IHExERYLBakpKTU3ldRUYGvv/4aNput0SHdxeK92egWYkC/RhT3C+ljboCjshCVWZtbIBkRkftwRQ0oWHMPLMdXQqYOgPnwUhRueKzZeVjHqDFSz5Rh3Cfbce8P+/DQqE7Y++gYXNktROpYbkHp2xFh1/2AsOuXwXxkGTIX9IL50I88t57aLKnrWIMN2g3/24nreobj8fgYXN8zvFGD7tu3D4MGDQIADB8+HMnJybX3vffee7jvvvvqfe78+fNhNBrr/HEXicmZmNE/sllrsGVqP2g7T4IpfVELJCMiaj0XvkbPnz+/zv3O1IBzrCWHETL+c/j2vgchE75EVe6uZudlHaPLKau04tGfD6D/u5sQ7qNG+pPxeDw+BipFg2+RvI4uejyiZu2Bb+/7kL/mbuQsnYjqojSpYxE1mbvXsQbPQdOrFHj6tzQYQww4d9rVbQPbX/Y5JpMJOl3N7kZarRZmc81U+LZt2+Dv74/Y2Nh6nztv3jzMmzevzm3uUNwO5ZvwV2Ypkm4d0OwxDMYEFKy5G4749yBTaFyYjoio9WRkZFz2fmdqwDnKwFhU5e2FOrQvrMWHoXDiOpKsY3QpoihiYXIWnvj1IAJ1Sqy+dyjiY4KljuX2BIUa/oOfhCE2AYWbn0DWdwPh128e/Ic869T1Colak7vXsQYbtGHRAQCAk8U126wKaHj2SK/Xw2KpebzFYoHBYAAArFq1CkeOHMHWrVtx/PhxfPzxx7j//vsbHVZKiclZGNoxAJ2D9M0eQxd9NSAIqDixEvqYyS5MR0TkPlxRA6rz9iLv12kQlDqIVgsAEaf/1w2AgPZ3Xr6wXoh1jC6Ukl2Gecv2Y292Gf41vhvmjewEpZwzZk2h8O2AsElJqDi1DoXrH4IpPQmBo1+HvttU7vZIHk/qOnbZBq3SaseI6EAUWayI8tdgSIeARu1eGBcXh507d6Jfv37YsWMHbrnlFgDAf/7zn9rHTJkyxWOKmiiKSNyThQdHdnJqHEGhhq7rFJjSk9igEVGb5YoaEDlzJ0RRhMOSB5kuBILQvDfPrGN0vpIKK/61OgMfbTuB6X0jkHTrALTz5YoWZ2g7jEPkrGSU7nkfBb/PQfn+LxEU/y5UQT2ljkbUbFLXsXofufNUMQa8uwmL92Vjb3YpPtp6An3f3oiU7LIGB504cSLS0tIwbdo0yOVyVFdXIzExsdGh3M2u0yU4XmTB1D6NvwJ4fQzGBFQc/w2OqlIXJCMicj+uqAEVJ39H5oKeyP3lZmR+3QOW4781OQfrGJ3jcIhYsOs0Yl//AxuOFmDdfcPw7Yz+bM5cRJCr4D/wn4i6bT/kuhBkLRyEwk1PwFHV8O8akTuSuo4JYj1b8Fz16XZ8ObUPOgToam87XmjB/UtSsOreoU0K6Cyj0djgWtGW9PBPqTicb8aKu4c4PZYoOnD6yxgEDHsBPj1vdz4cEVEraq3X4+zFoxF2/TLItUGwVxQiZ/l1iEzY1qQxWMcIAPZmlWLusv1IzSnHvycY8cDwaCi4nLFFVZzegML1D8FRWYzA0f+F3pjAZY/kNjyhjtX7CmW1O+oUNQDoFKSD3cu2VLXZHVi8NxsJzbj22aUIggwG41SUpy1EdUEqRFuVS8YlImpbBMi1QQAAuTYIglzV5BFYx7xbsaUac5fux6D3NiMmSI/0J+Lx0KjObM5agbb9WETO/At+Ax9FwR/zkPPjlajK3c33PeRlml/H6j0HTV7PJx0Oh3cVtj+OFKC80oYb4xq3NXNj6GKmoHT3O8heNBwK346InPkXBIXaZeMTEXk6dWg/5K++C+qIYag68yfUIX2bPAbrmHdyOER8/ddpPL0iDRF+Gmy4fzhGdAqUOpbXEeRK+PV/GHrjNBRufBzZi4YBMhWUfp34voe8gjN1rN4GLS3PhDsX7617owik55uaHdQTJSZn4Ya4cBjUDW542WgypQ4Q5BDtlbCVn4a15DBUwXEuG5+IyNP5D3sBVdnbUF2UAV2X66Hvcl2Tx2Ad8z67M0swd+l+pOeZ8NLVsZgzrCNnzCSm0LdDwOCnYDmyDHBUw1Z2ku97yCs4U8fq7ToWzep/ydtnD4pqekIPVWG1Y2nqGSTObP61zy5F6d8VCt+OsJUeg0ztB6V/V5eOT0Tk6XJ/noKIqRug63xts8dgHfMeRZZqPLsyHV/8eQq3DojCdstfOAAAIABJREFUT3cMRqgPZ2jchdK/KxR+nWArOQpRdEDuw99BavucqWP1NmhjuvBijb8cyIVaLsMEY4hLxxUUakTdug9F219E+YEFcNjMkHOqn4iolkyhR9GWZ6EMMAJnlyr69Li1SWOwjrV9DoeIL3eewjO/paFDgBab/jEcw6K5nNHdCAo1ombuRlXeXuStvh3FW59H8BXzpY5F1KKcqWOuW7fXBiXuycQtfSJa5OKVgkKNwBEvofLUOhRveRbBV37s8mMQEXkqdUTNLou28pNnb+EOcFTXrlMlmLtsP44UmPHyxFjcO7Rjo65xR9IQFGpoIoYgbFIishePgiZqNAzdbpE6FlGLcaaOsUGrR5GlGivT8/DHnOEtdgxBpkDwuI+QvXgUDN1nQRM5osWORUTkKRy2SmgihsNeWQSFIQrq8MEQZHKpY5GbKDBX4Znf0vHVrtO4fVB7rLh7MIL1XIXiKdSh/RA06g0U/H4/1KH9ofTvInUkIpdzto7xzNl6/JhyBhG+GgzrGNCix1GHD4Rvnzko+OMBiPbqFj0WEZG7q8rZhezEwTAd+gHV+ftQtu9jZC0cgOr8FKmjkcTsDhGfbDsB43/XY29WKbbOHYHPb+nD5swD+fS5H9r28cj7bSa33ac2xxV1jDNo9UhMzkRCv0jIWmG5RMCwf8N8eBlKd78L/8FPtvjxiIjcVdHW5xF+469Q+Haovc1aehyF6+YifMoKCZORlHacLMbcpftxotiC1yZ1x12DO3A5owcTBAHBV32G7MQhKNr6LILGvCV1JCKXcUUd4wzaJZwqtmDTsSLM7N86uwzJ1L4IGvsOSv58BdbSY61yTCIit+Sw1ilqAKD06wRRtEsUiKSUb6rCXd/vxagPt2Jge39kPHkFzzVrI+SaAIRM/A5l+z6G+egvUschch0X1DE2aJeQtDcbvdv5ome4T6sdUxczGZoOV6DwjwchiryIKhF5KaGeNfqio3VzkKTsDhEfbj0O4+vrcTCnHNvnjcQnN/dGkF4ldTRyIU27wQgc8TIK1twNa9nJhp9A5AlcUMe4xPESEpOzMKN/ZKseUxAEBMW/h6xv+sB86AcYjFNb9fhERO7AWpSO/DX3XHCrCGtxhiR5qPVtPV6Eecv2I7O0Em9e2wN3DGrfKqcb/H979x4XVZm4AfyZGzDDcL+pqKilKOI9La3MS1m4tWVlqKTpllqalZmYplmulpdsSy21clfDqM1d2/ZnuWKKtqUuqIiaN8xERYUBuc8wzOX9/QGMoGgIM5y5PN/Ppw84zMx55nSYdx7OOe8hafj3fhmGC7uh2zoWLZ/cAZlCJXUkoiaxxzjGgnaNo5dKcORyCUb36tfsy1b5RyGo/5u4snsG1FHDoPAJbPYMRERSChu+sd7btTHjmjkJNbfcUiNmbTmGLzJyMOmuKPz5oWgEa7jHzN3JZHKEDfsMOV/0ReHe+Qi+5x2pIxE1iT3GMRa0a3yRkYOB7UPQJlAtyfL9e05D2fEvULiHF3EkIs+jbj1Q6gjUzMwWKz7ecxZvbjuJrhF+SHv5XvSKDJA6FjUjhToU4XEbcemfD8Cn9X3QtHtQ6khEjWaPcYznoNVitQp8lZGD0c18eGNtMoUKIUM/RumRz1Bx6X+S5SAiInK0H38tQJ8PfsSiH7LwwaOx+O/Uu1nOPJRP5N0IuutN6LZNgLnsotRxiCTFglbLnuwruFhSgSe7t5Q0h0/LO+HXbSIKdkyBsJgkzUJERGRvl0oqMDb5IIau3YtBt4Xi5OtDMJ7nmnm8gL6J8ArrCd3WcRBWztxKnosFrZYvDuZgeOdwpzjmPfjuP8Oi16E4Y4XUUYiIiOzCZLHi/d2/ovOSVGQXGrD/lXvx4WOxCFRzYgiqOh8t/MG/wVR4EkX/Wyh1HCLJ8By0apVmKzZlXsTqJ7pLHQUAIPcOQPCg5chPeQ6+HZ+AKqCd1JGIiIgabdfpfEz75ijy9ZVY9Xgsnu7dGjIZ95hRXQrfCIQ9tAGX//UwfFoPhLrNYKkjETU77kGrlnJKB5NF4OGYCKmj2Ph2fBI+kQNRkPoyr41GREQuKafYgDEbD2DYJ/twf6dQnEgcjLF92rCc0Q2p2w5BYN9Z0G19BpbyXKnjEDU7FrRqyQcv4PFuLaBW3eDichKQyWQIGbICFRd2QX96s9RxiIiIGqzSbMWy1NPosjQVF0sqcHD6QPzl0VgE8HBGaoDAO+dCFdQJedsmQPBC9eRhWNAAlFaY8e0vlzGmd2upo1xHFdAegXe+gYJdr8JqLJY6DhER0e/akaVDz/d344P/nsHaJ3sg9YUBiG3pL3UsciEyuQJhcRtQqTuE4vRlUschalYsaAD+9csl+PuoMPi2EKmj1Cug93TIfYJRuGe+1FGIiIhu6EKRAfGf70fcp//DH7pE4ETiEIzuFcnDGalRlNpIhA37Kwr3vY2KnJ+ljkPUbFjQAHx5MAfxPVtBqXDO1SFTqBA69GOUHF4L4+X9UschIiKqo9JsxeKdWei8JBX55ZU49Op9WPZIDPx8OBcZNY2m/UMI6PUy8rY+DYshX+o4RM3CORtJM8orNWJ7Vj4Sejnf4Y21+bTqD7+uE5C/4wUIq1nqOERERACAlJN56L58Fz76+Sz+Gt8TPzzfHzEt/KSORW4kaMACKP3aQJfyHCdNI4/g8QXt75kX0SFYgzvaBEgd5XcF3bMI5vJLKDn0kdRRiIjIw50r1OPJDel45K9peCy2JY4nDsZTPVvxcEayO5lChbC4JBgv7kVJxodSxyFyOI8vaF9m5LjM8fEKnyCEDFyGwr1vwVxyTuo4RETkgYxmCxb9cApdlqaipMKMzBn3YfEfukDrzcMZyXFU/lEIHfYprvz0BoyX06WOQ+RQHl3Qfs0vx77sQiT0jpQ6SoP5Ro+Cd8v+KNg1XeooRETkYbYez0W393bjk33Z+Hx0L2ybdBc6h/NwRmoevrf9Ef7dn0fe9wmwVBRJHYfIYTy6oCVn5KBvm0B0DNNKHaXBZDIZQoesgCE7BeWnv5U6DhEReYCzV/QY8bc0jFi/HyN7tMSxmYPxRHcezkjNL/iedyD3CUb+D5N4Phq5LY8taEIIJB+8gDEutPeshirwdgTeOQcFu6bDWlkqdRwiInJTFSYLFqScQszSVBjNVhx+7T4siusCXx7OSBKRKb0RPvwLGM7tROnhNVLHIXIIjy1oGTnFyMovR3yPVlJHaZSAPjMg99KicO/bUkchIiI3tOVYLmLf24W/pZ9D8tO98d1zd6KTCx1xQu5LFXgbQu9fjYIfZ8KYlyF1HCK789iC9sXBHAztGIoW/j5SR2kUmcILIUM+Qsmhj/jmREREdnOmoBx/XJeGkZ/vx5hekfhl5iA8FtuShzOSU9F2Ggm/mPHI+z6BRxOR2/HIgmaxCnx1KAdjnPzaZ79H3fpeaGPGIf+HFyCsFqnjEBGRCzOYLJi/7SS6LtsFAYEjrw3Cgoc6Q+PFwxnJOQXftwxypRr5O6bwfDRyKx5Z0Hb9mo9CvQkjurWQOkqTBd/zDsyl51CSuVrqKERE5IKEEPj26GV0XZqKjQcu4OuxffB/z96J20N9pY5GdFNypRphw5OhP7MFZb/8Teo4RHbjkQUtOSMHj8REwN9HJXWUJlOoQxA8cCkK986HufSC1HGIiMiFnM4vx8Pr0jB64wE807cNjs4chEe6uv4fL8lzeAVHI3TIKhSkvoLK/KNSxyGyC48raBUmC/55+BLG9Hbtwxtr03ZOgHfEHSjY/arUUYiIyAXoK82Yu/UEYpftgkohw9GZgzB/WDTUKoXU0YhumbZLAnyj45H3/RhYTeVSxyFqMo8raN8dz4VCJkNc53Cpo9hN1bXRVkL/2/fQn9kidRwiInJSQghsPnIJMUt34e+HcrB5/B3414R+6BDCwxnJtYUM/gAAUJD6isRJiJrO4wpa8sEcPNG9JbyU7vXSVUGdENh3FvJTX+Ffj4iI6DqndGWI+/R/GJt8EM/d1RZHXhuE4V0ipI5FZBdylS/Chyej/OTfUXp8o9RxiJrEIVMzmUwmzJw5E3l5eYiJicHcuXNtP3v33Xdx5MgRKBQKvPvuu2jduvkONSwymPDd8Txsm3Rnsy2zOQXekYjyk1+haN+fEXzvYqnjEJGHctYx4Fa4w2uoUW40Y+GOLLy/+1c83CUCx2YORlSwRupYRHbnFRqLkMEfoGDnNHhH3AGv4M5SRyIXJfUY4JDdSCkpKYiJiUFycjL0ej0OHz4MADhx4gQKCwuRnJyMKVOmYN26dY5Y/A398/AlRPh54d72Ic263OYiU3ojZMhHKM5YAaMuU+o4ROShnHUMuBXu8BqEENiUeRFdlqZi8+FL+Pef+uGf4/uynJFb03adAE2HR6D7PgFWs0HqOOSipB4DHFLQMjMz0bdvXwDAgAEDcPDgQQBAhw4dMG/ePACAxWKBStW8sygmH7yAUT0jIZe778U21W0GQRs9GgU7pvLaaEQkCWcdA26Fq7+G47mlGPbJPkz46hBeGNAOh1+7Dw9Gu8+510Q3IpPJEDr0I1jNBlzZPVPqOOSipB4DHFLQysrKoNFU/YVOrVajvLzqnCgvLy/4+fnhypUreP/99zFu3LjrHrty5UpER0fX+c8ecooN2HWmAGN6R9rl+ZxZ8MAlMBX9itIjn0odhYjc0LXv0StXrqzz86aMAc7CGcexhiitMCNxyzH0fH83gtQqHEschNlDO8JbydkZyXPIvfwQPvwLlB5bj7JTm6SOQ07I2ccxh5yD5uvrC71eDwDQ6/XQarW2n+l0OkyZMgWvv/56vcdsTps2DdOmTatzmz0Gt68yLiIm3A/dW/o3+bmcnUIdiuB7F6Ng9wxobn8USt+WUkciIjdy8uTJm/68KWOAs3DGcexmhBD4+6GLeO3/jsHPW4Etz96JBzqFOXSZRM7MO7wXQgYuQ/4Pz8M7vDdUgbdJHYmciLOPYw7ZgxYbG4u0tDQAwL59+9CjRw8AVSfcTZ06FbNmzUK/fv0csegbSs64gDG9IyGTue/hjbVpY8bBO6wHruyaIXUUIvIwzjgG3CpXeg2/XC7F/Wv2YuKmTLx0b3tkzhjEckYEwK/781C3HYq87xMgzEap45ALkXoMcEhBi4uLw/HjxxEfHw+FQoHKykokJydj69atyM7OxocffoixY8dixYoVjlj8dY7nliIjpwSje7n/4Y01ZDIZQoZ+hPJfv4X+t/9IHYeIPIizjQGN4QqvoaTChBn//gW93t+NcD9vHE8cjMTBt7vdZWSIGksmkyH0/k9grbiCKz/NkToOuRCpxwCZEEI45JntKDo6+nd3Rd7MvP+cwK7T+fjvi/fYMZVrKNz7FsqOJyNy7CHIVZy5i4iapqnvx57KnutNCIHkjBzM/L9jCNaosOKxbhjSMdQuz03kjoyX03Hx60EIH54M39sflToOScwVxjG3/zObEAJfZuRgTG/nPdfBkQL6vg7IlSj630KpoxARURMduVSCwav34IV/HsaM+25Dxqv3sZwR/Q7vFn0RfM8i5G+fCFNJttRxiH6X2xe0H88UIPuKHn/sGiF1FEnIlT4IHbISxQc/QGX+EanjEBHRLTKaLdh79gpe/OYIev/lR7QOUONE4hDMGHQbVAq3H8aJ7MK/18vwbjUAuq1jISwmqeMQ3ZRbv7MbzRaMWJ8OALh/zV4YzZ55XTB126Hw7fQU8ndMhRBWqeMQEVEDGc0WdHx3J+5e9TM+25eN75/rh40JvdEqwEfqaEQuRSaTIWzYOphLL6Bwz5tSxyG6KbcuaFm6cugrLbAI4HxRBbJ05VJHkkzIwKUwXTmJ0qN/lToKERE1UJauHHllVbPPKeVytPRjMSNqLIU6BOFxSSjO+JATqJFTc+uC1jHMF+2DNdCoFGgT6IOOYb5SR5KMQhOO4HvfReFPc2Apz5U6DhERNQDHMSL78om8G0F3zYcu5U8wl+VIHYeoXm4/i6PRbEGWrhwdw3zhrVTYOZlrEcKKS5uGQOnXFuFxn0sdh4hckCvMfuWMOI4ROQ8hrLj8zcOAxYgWT2yDTK6UOhI1I1cYx9x6DxoAeCsViG3pz0ENgEwmR+jQj1Ce9U/os7dLHYeIiBqA4xiRfclkcoQ/+DeYCrNQ9L9FUschuo7bFzSqyyukKwL6TEfBzpdgNRukjkNERETU7BS+EQiL+xxF6UtgOLdT6jhEdbCgeaDAfnMACBSlvSt1FCIiIiJJqNsMQmDf16H7zzM8P5+cCguaB5KrNAgZvALF+5ejsuCY1HGIiIiIJBF45xtQBXdG3rbxvBQROQ0WNA+laTcMvrePQP7OF/mGRERERB5JJlcg7KENqNRlojh9qdRxiACwoHm04Pveg0l3BGXHOKMjEREReSalthXCHvwbCvctQEXOT1LHIWJB82RK3xYIumcRrvw4CxZ9ntRxiIiIiCShafcgAnpPR97WsbAY8qWOQx6OBc3D+XV7DqqgTrjy31lSRyEiIiKSTFD/t6D0awtdynM8/YMkxYLm4WqujVZ28u8wnE+VOg4RERGRJGQKFcLjkmC8uBclBz+UOg55MBY0gldYdwT0ehn5O6bCaq6QOo5bEWYjKvOPQpiNUkchIiKi36H0b4vQYZ/hys9zUXEpTeo4dsXPJK5DKXUAcg6Bd81F+al/oDh9KYL6vyl1HKckhIAwlcFScQXWiiuwVhTCWnEFluqvVmNhnZ+ZDfkwF54ChAWQq+AV1gNK3wjI1WFQqEOh0IRDrg6FQh0OhabqNrk6DHKlj9QvlYiIyGP53vYI/Hu8AN33CWiVkAaFT5DUkRrMaq6ApfQ8zKXnYC49D3NJ1VdTSTaMF38GrCbIVFoE3/suNO2HQ+nXRurIVA8WNAIAyFW+CBmyArlbRsI3Oh5ewdFSR3IYIaywGottRcpWqmwFq6Z41freWPUVVrPteWRe/lD4BEPuEwS5TzAU3lVfVcFdoPAJhtVsQFHaO4DFAkAGnzZDIFcoYdHrYCo6jYqLe2E16GAx5Fc9t+15/apKmzoUCk0o5Lbvw6BQh1UVvOrvFeowyJTeEqxFIiIi9xV8zzuouPgz8rdPQvjDX0Mmk0kdCUIIWA26quJVeg7mkvPV32dXfz0Pa/WkbzKVFkr/tlD6tYXSrw28Q2JhvLin6nnMFShKW4KCndOgComBOupBaNoNg3eru/lHYifBgkY2mvZx8O3wCAp2vogWT6Q4xZvRzQiruVbBKoTVWLdU1flZrZJlrSgEIKqfRXZdwZL7BEHhEwylf1Sdf8u9a38fCJlCdfN8ZiPKT3wJc+l5KP3aIPiueTcsU8JigqWioKqw6XWwVH+tKXCmwlOouLgHVkMeLPp8WI2FtsfKvPyry1pViatb4EIh11QXPBY6IiKiBpEpvBA+/AvkfNEPpZmr4d9zisOXaTVXwFJ2oXrPV93iZakuZMJSAUAGhbaVrXypAm6Dus1gKP3aQOHXBkq/KMi9A+p8jhNmIwzntts+k0Qm7Ie57DwM2duhP7sNuYfXAhDwaT0I6nbDoIl6AMrAjk7/WdBdyYQQ4vfvJq3o6GicPHlS6hgewVx2ERc+746QQe/DL2ZcsyzTaq6A1XiDUnWDgmWpuAJRWXL1SeTKektW3YJVXcRq7fWqegNz3KmYwmyEqSgLqsCOdi1GVYUuH1Z9VYGz6POqvhryYNXnVxU8Q3XBq6/Q2UrbNQWupuDVKnkyhZfdcpPr4/tx43C9Ebmm8lP/QN628WgV/194h/dq9PMIIWCtKKguX1eLl7n0HCwl1V/1uQAAmcq3unxVFTClfxso/dpCUfNvbeTv/pG43gw3+UwizEZUXPwZhuwU6LNTYMo/CqV/e6jbDYM66gGo2wyG3Muv0a/fmbjC+zELGl2nJHM1rux5GxF//Ad8Ivo2qFgIISDM+utLlW1vVt2CVftnwqy3PY9M4Q25T0itglWrVNkK1tUSVvMzmUrLv/LcRE2hs+jzYDXkX91LZ9BVF7o8W9GzGvJhNRbZHiv3CoC8+hw5hTqs+vuaEld1Dp281iGYLHTuje/HjcP1RuS68ndOg+HcDrR6ajcs+tz6C46lsk7psn1fcq5q71fpeQizAYAMCt+W1cWrunD5ta3e89Wm6ugd70DJP9OYy3JgyP4BhrPbYDj3A6ymcvi0GgB11DCo2w2DV2h3yTM2liu8H7Og0XWslXpkr40ArGYofFsiaMCfIUxl1YcQ1ipctQ8lNF4BLJW255CptNeVKYX3NYXL59rCFQy5Ui3hK6cawlJZvUdOV13o6hY4S61DMW9c6K6dDOXqXrnaP2ehcy18P24crjci12U1V+DilwNgLjkLYa2E3CsQvtHxsJZfvHoIYvllAAIypabOuV8KWxGrvffLtcY9YTXDeHk/DNkpMGSnwHg5HQpNRNWetXbDoG57PxTqEKljNpgrvB/zHDS6jrnkDAAZICywlF1A4Z55UPhG1ClYXqGR9R9KWH0fV3vzobpkCi8ota2g1LZq0P1the4GBc5UcAwVNYVPr4O1stj2WLl34E0LnK3gacKh8Alt1GEdREREjSVX+iD47j8j998jAABWQz7MV47DK6w7vCPvqd4LVrUnTO4T7LJ7lm5EJlfCp9Vd8Gl1F4L6vwmLoQCGcz/AkL0dV3bPhEWfC++IO6oPhxwG7xZ9IZOzYjQF1x5dRxXYESr/qDonknJiCbqZWy50ZmP1IZd1z5WrOdTSlP8LKgxXz6+rfb6h3Duw1rly1YdYVh9qWWe2S00YCx0REdmFuu39UAVF2z4bRfzxG4/9bKRQh0AbHQ9tdDyEEKjMPwzD2RQYsrejKH0p5CpfqNsOhbrdg1BHPQClNlLqyC6HhzhSvRw1uQVRY1wtdFUF7kazXdbcVrfQBdW9XEGdyVBCbROm1EyWwr/63RzfjxuH643I9fGz0e+zVpbCcH4XDNnbYTi7DeaS36AK6QpNuwehjhoGn1Z3S77uXOH9mJ9EqF4ypTe8QmOljkEEoGp7VGojG/xXOGE22iZBqVvgqgpeZf6R6jJXtddOVJbaHltV6G5c4K4teCx0RESegZ+Nfp/cyw++tz0C39segRAC5qLT0GdX7V0ryVyNquvCDoKmerIRVeDtUkd2SvxkQURuR6b0htKvNZR+rRt0f6u5os65c9Za5c5i0KEy/3D1IZg1e+hqFTqf4AZcrqBmtssQFjoiIvIIMpkMqqCOCAjqiICeU2E1V8B48Wfoz6ag5MinKNj1CpQBHaCOGgZNu2HwaT0Ici+t1LGdAj8pEJHHkyt9IL/lQld7r1zd2S4rdZlX99Dp8yBMZdWPrLowekMuV6BQh7HQERGR25ArfarOTWs7FMASmEsvVF0oO3sbdNv+VD2V/93VF8oeBlVoN7ebcKWhOPITEd2iqkJXNWtXQ9gKXZ3rz13dS2fMO1Tn+nR1C11wgy5XoNCEQ+4TAplcccMcPH+CiIichdKvNfxiJ8AvdkL1VP7pMGRvQ3nWZhT+9AYUvi2qpvKPGgZ11P1Q+AR7zDjGgkZE5GC3XugM1QWu/j10xryMqz835EGYyqsfWV3o6ilwcp9gFO9/D9aKQij9ozg7KxEROY2qqfz7w6dVfwT1fwsWQ37VhbKzU3Bl9wxYDDp4hfeGufg3CFO5249jLGhERE5GrlRD7t8WSv+2Dbr/1UJXs5cur84eOWNeBswl2bYLqZpLz8NUlMWT3YmIyCkp1KHQdh4FbedREMKKSt1hlB1LQkneQUBY3X4cY0EjInJxDSl0wmxEzhd32K7howrs2IwJiYiIGkcmk8M7vCe8grvAkJ3iEeMYCxoRkQeQKb0RmbDfI47dJyIi9+NJ4xgLGhGRh+A1fIiIyJV5yjgmlzoAERERERERVWFBIyIiIiIichIsaERERERERE6CBY2IiIiIiMhJOGSSEJPJhJkzZyIvLw8xMTGYO3eu7Wdr167Fjh07EBQUhOXLl0Or1ToiAhERScQdxgB3eA1ERNQ4Uo8BDtmDlpKSgpiYGCQnJ0Ov1+Pw4cMAgNzcXBw4cABff/014uLi8OWXXzpi8UREJCF3GAPc4TUQEVHjSD0GOGQPWmZmJuLi4gAAAwYMwMGDB9G9e3ccOXIEffr0sd0+f/786x67cuVKrFq16rrbo6OjHRGViIhu0bXvxy+++CKmTZtm+3dTxgBnwXGMiMh9Ofs45pCCVlZWBo1GAwBQq9UoLy+/7naNRgO9Xn/dY6dNm1ZnBTVWdHQ0Tp482eTncTRXyQkwq6Mwq2O4SlZXyQk0PGtTxgBn4QzjmKM8/vjj2Lx5s0svrynP2ZjH3spjGnLfpt7Hld43boTbofTbYUPu5+7b4Y1IPY455BBHX19fW2C9Xm87NlOr1dpuLy8v53H7RERuyB3GAHd4DURE1DhSjwEOKWixsbFIS0sDAOzbtw89evQAAHTt2hXp6enX3U5ERO7DHcYAd3gNNxIfH+/yy2vKczbmsbfymIbc1173cWXcDqXfDhtyP3ffDm9E6jFAJoQQ9n7SyspKJCYm4tKlS4iOjsbDDz+M06dPY8yYMVizZg1SU1OhVquxYsUK+Pv723vxAFxnt6ur5ASY1VGY1TFcJaur5AQantUZxoCmcofXQO7Lld43yH2583Yo+Rgg3NSKFSukjtAgrpJTCGZ1FGZ1DFfJ6io5hXCtrETujL+L5Ay4HTqOQ/agERERERER0a1zyDloREREREREdOtY0IiIiIiIiJyE2xU0k8mEV155BWPGjMHChQubbbllZWWYPHkynn76abz00ksoLS3Fs88+i1GjRuHTTz8FAFy6dAkJCQmIj4/Ht99+CwA4duwY4uPj8dRTT2Hv3r0AgJ9++gkjR47EqFGjbCdf/utf/8KTTz6JsWPH4vLly3bJvG7dOixZssTuudauXYunnnoKkydPRllZWZMyCiGwYMECJCQk4Nlnn3Wj55H/AAAMZUlEQVTq9Wo0GjF58mSMHj0aCxcudOqs7777LlJTU5slY1O2h5qcly9fxjPPPIMxY8bgrbfecrqctbPWWLBgATZu3OiQXG+//TZGjx6NGTNmwGQyNTqr0WjEjBkzMGbMGLz66quwWCxOt16JiIg8jsTnwNndli1bxNq1a4UQQsyePVtkZmY2y3LXr18vNm3aJIQQ4oMPPhCrVq0SW7ZsEVarVfzpT38Subm5Yt68eSIjI0MYjUYRHx8vjEajmDhxorh06ZIoKSkRo0ePFkIIER8fL8rKysT58+fF5MmTbfc3mUwiPT1dzJ8/v8l5T506JZ566imxePFiu+a6fPmymDhxohBCiG+++UZ88sknTcq5c+dOsWTJEiGEENu3bxcff/yx067X7du3i6VLlwohhJg2bZpYs2aN02W1WCwiMTFRDB48WOzcuVOsXbvWoRkbuz1cm3PRokViz549QgghZs6cKTIzM50iZ31ZhRDi559/Fo899phISkoSQgi75srIyBDz5s0TQgixatUq8d133zU6a1JSkti4caMQQoh//OMf4vLly06zXomoYXbt2iUWLVrE3y+SVGpqqvjkk0/E+++/L3UUt+B2e9AyMzPRt29fAMCAAQNw8ODBZlnuE088gUceeQQAYLFYsH79evTt2xcymQz9+vVDZmYmTpw4gR49esDLywudOnXC6dOnUVhYiBYtWsDPzw9qtRo5OTnw9fWFr68vWrduDZ1OhzNnzqBTp05QKpXo06cPfvnllyZlNZlMWLVqFV544QUAsGuuI0eOoE+fPgDss/7T09OhUqkwfvx4pKWl4ejRo067Xm+//XZYrVYIIWAwGPDTTz85XVar1Yo//OEPGDFiBICrvy+OytjY7eHanFOmTLH9XlssFnh5eTlFzvqylpaWYtOmTUhISLDdx565MjMz0a9fP7tkTU9PR0lJCcaNG4eCggJEREQ4zXolooY5cuQIQkND4eXlJXUU8mA//vgj1Go1oqKipI7iFtyuoJWVlUGj0QAA1Go1ysvLm2W5Wq0W3t7eyMjIQFpaGmJiYq7LYbVaIZPJbLfp9XqIWpNoqtVqyOVy2+Pqe00ymQxWq7VJWdesWYOxY8dCrVYDgF1z1b5No9HYrrbeWMXFxSguLsb69ethNBqxc+dOp12vCoUCqampeOihh2CxWOos01myKpVKDBw4sN7ndUTGxm4P1+YMDAyEUqlESkoK9Ho9Onfu7BQ568u6bNkyvPzyy5DLr7692jPXtf/PmpK1uLgYSqUSGzZswP79+3Hq1CmnWa9E1DCPPfYYJk2aBCEEcnJypI5DHqqyshJPP/00srKymvx5igCl1AHszdfX1/YhQK/XQ6vVNtuyDxw4gHfeeQcff/wx3n77bdvy9Xo9WrVqVecDW83Paj4IAYDBYIDVaq3zIUYul9d5TUIIKJVN+9+WmpqKtLQ0lJSUoKioCKGhoXbLpdVqkZubCwAoLy9v8vr39/dHr169AAD9+/fH5s2bnXa9bty4Ec899xyefPJJLF++HOvWrXParDVqntdRGe25PaSkpCApKQmrV6+2LdMZc6anp+O3336DTqeD1WpFz5497ZrLnu9x/v7+GDBgAGQyGe68805kZWU57Xolovrt3bsXhYWFKC8vR4sWLaSOQx5qwIAB2LBhA7RabZ1xhBrH7dZgbGws0tLSAAD79u1Djx49mmW5Z8+exaJFi7B69WpERETYcgghkJ6ejm7duqFjx47IyMiAyWTCyZMn0aFDB/j7++PSpUsoLS1FeXk5IiMjUVpairKyMly4cAFBQUHo0KEDTpw4AZPJhAMHDiA6OrpJWTdv3oykpCTMmTMHw4cPR+fOne2Wq2vXrkhPTwdgn/XfvXt32/MdPXoUkydPdtr1qtFobHsLQkNDMXXqVKfNWsPR26m9tof9+/djw4YNWL16te1DvjPmBICtW7ciKSkJkyZNwrhx4xAbG2vXXPZ8j7v29ysqKspp1yuRJ6uZ2Ke+idBGjhyJSZMmYfr06VAoFBInJXd2s+1w+PDheOaZZzB16lSJU7oHt9uDFhcXh8TERMTHxyM6Oho9e/ZsluV+9tlnKC0txYwZMwAA48aNw9dff43169dj6NChiIiIwJQpU/D666+jvLwcCQkJ8PLywowZM/DKK6/YNnYAmDZtGiZMmACr1YoFCxbA29sbo0ePxpgxY6BQKLB8+XK7ZrdnrpYtW+KOO+5AfHw81Go1VqxY0aRsDzzwAHbv3o34+HhERkZi3rx5SExMdMr1OnbsWMyaNQvJyckICAjAm2++iblz5zpl1hoJCQl47bXXHJbRXtvDRx99hOLiYtt5k6+++qpT5rwRe+by9/fHd999h1GjRiEsLAwTJ05sdK5Ro0YhMTER3333HXr16oXY2FiXWq9E7s5qtWL27NlIT0/HXXfdhZSUFMTExOCDDz7AnDlzcPjwYXTv3l3qmOTmuB02P5mofXIBERERETkFs9mMPXv2IDMzE7Gxsdi7dy/i4uLQq1cvbNmyBfn5+Rg/frzUMcnNcTtsfm53iCMRERGRO2jIxE5EjsbtsPmxoBERERG5ACknQiOqwe3Q8VjQiIiIiFyAVBOhEdXG7dDxWNCIiIiIXEBcXByOHz+O+Ph4KBSKZpsIjag2boeOx0lCiIiIiIiInAT3oJHHO3bsGJ599lmMHTsWI0eOxLfffnvD+164cAFjx44FAAwZMuR3n3vlypXYvHlzo7Nt3rwZK1eubNB9m7osIiIiIpKe210HjehWFBUVYc6cOVizZg1atGgBvV6PUaNGoVOnTujSpYvU8YiIiIjIw7CgkUfbuXMnBg4ciBYtWgAANBoNNm7cCK1Wi+LiYsyZMwclJSVQqVRYuHBhvc+RmJiIixcvoqKiArNmzULfvn2vu09lZSVmzpwJnU4HIQTeeOMNxMbGYt26dfjxxx9RUlKCbt26YcGCBcjKysIbb7wBjUZT59ju9evX4z//+Q+sVivGjRuHhx9+GGlpaVi8eDH8/f1hsVgwYsQIx60sIiIiInI4FjTyaDqdDpGRkXVu8/f3BwCsXbsW999/P0aMGIH09HS89957ePXVV+vct6ysDCdOnMDGjRtRWFiICxcu1Lucr776Ch06dMCHH36IM2fO4LXXXsOmTZtQWVmJDRs2wGq1Ii4uDnq9Hu+99x5mzZqFPn364J133gEAnDp1Crt27UJycjLMZjNGjRqFgQMHYtGiRfj4448RGRmJF1980QFriIiIiIiaEwsaebQWLVogOzu7zm2HDx+Gn58fsrKykJ6ejs2bN0MIAaXy+l8XrVaLl156CYmJiTCZTJgwYUK9yzlz5oztnLUOHTqgsLAQcrkcFosF06dPh1arhV6vh9lsxtmzZ9GtWzcAQO/evZGVlYXTp08jOzsbzzzzDADAaDQiJycHxcXFtoLZq1cvu60XIiIiIpIGJwkhjzZ48GDs2LEDubm5AIDS0lLMnTsXer0e7du3x6RJk5CUlISFCxdi2LBh1z0+NzcXp0+fxpo1a7B48WIsW7as3uW0b98ehw4dAgD89ttv8PPzw8mTJ3HgwAH85S9/wfTp02E0GiGEQPv27ZGRkQEA+OWXXwBUlbouXbogKSkJn3/+OYYPH47WrVsjICAA586dq3NfIiIiInJd3INGHs3f3x/z58/HjBkzIJPJoNfrMXHiRHTt2hUtW7bEG2+8gQ0bNsBgMGDOnDnXPT48PBznzp3D6NGjIZfL8fzzz9e7nFGjRuH1119HQkICKisr8fbbbyMqKgpmsxkjR46Ej48PWrduDZ1Oh1mzZmH27Nnw8fGBr68vOnfujM6dO6NHjx4YPXo0KioqMHjwYPj5+eGtt96y7YHz8vJy9OoiIiIndOzYMSxfvhyVlZWoqKjA008/jUcffbTe+164cAGzZ89GUlIShgwZgp07d970uVeuXInIyEg8/vjjjcq2efNm5OTkYNq0ab9736Yui8hd8DpoRERERC6qqKgI48ePv2424iVLltQ7GzELGpHz4x40IiIiIhfF2YiJ3A8LGhEREZGL4mzERO6HBY2IiIjIRXE2YiL3w1kciYiIiFwUZyMmcj/cg0ZERETkojgbMZH74SyOREREREREToKHOBIRERERETkJFjQiIiIiIiInwYJGRERERETkJFjQiIiIiIiInAQLGhERERERkZNgQSMiIiIiInISLGhEREREREROggWNiIiIiIjISfw/2EMwZu3qeE4AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"colors = sns.color_palette(\"colorblind\")\n",
"fig, axes = plt.subplots(1, 2, figsize=(6.1 * 2, 4))\n",
"for axis, scale in zip(axes, ['linear', 'log']):\n",
" axis2 = axis.twinx()\n",
" for i, (ax, var_) in enumerate([(axis, fill_rate), (axis2, empty_rate)]):\n",
" ax.plot(fill_rate.index, var_, \".-\", color=colors[i])\n",
" ax.set_xlabel(\"Cells loaded\")\n",
" ax.set_ylabel(f\"Droplet {var_.name.replace('_', ' ')}\", color=colors[i])\n",
" ax.set_ylim(0, 1)\n",
" ax.set_xscale(scale)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Fraction of empty vs loading concentration\n",
"fig, axis = plt.subplots(1, 2, figsize=(2 * 3, 3), tight_layout=True, sharey=True)\n",
"sns.barplot(x=fill_rate.index, y=fill_rate, ax=axis[0])\n",
"axis[1].plot(fill_rate.index, fill_rate.values)\n",
"axis[1].scatter(fill_rate.index, fill_rate.values)\n",
"axis[0].set_ylabel(\"Fraction of filled droplets\")\n",
"for ax in axis:\n",
" ax.set_ylim((0, 1))\n",
" ax.set_xlabel(\"Loaded nuclei\")\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.fill_fraction.barplot.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Okay, we can see that the droplets get filled at an exponential rate."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's now plot the distributions of cells per droplet in the various transformations and in linear or log scale."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# # some preparations for plotting\n",
"experiments = droplet_counts['loaded_nuclei'].unique()\n",
"colors = sns.color_palette(\"colorblind\")\n",
"\n",
"inc = 3\n",
"variables = droplet_counts.columns[droplet_counts.columns.str.contains(\"count\")]\n",
"nrows = len(variables)\n",
"ncols = len(experiments)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# # Plot distributions separately for each experiment\n",
"if savefig:\n",
" for sharey, label in [\n",
" (False, \"independent_yscale\"), (\"row\", \"same_yscale\")]:\n",
" fig, axis = plt.subplots(\n",
" nrows * 2, ncols,\n",
" figsize=(nrows * 2 * inc, ncols * inc),\n",
" tight_layout=True, sharex=True, sharey=sharey)\n",
" for i, l in enumerate(variables):\n",
" for j, e in enumerate(experiments):\n",
" dc = droplet_counts.loc[droplet_counts['loaded_nuclei'] == e, :]\n",
" for k, ax in enumerate(axis[[i * 2, i * 2 + 1], j]):\n",
" sns.barplot(x=dc.index, y=dc[l], ax=ax, color=colors[j])\n",
" if i == 0:\n",
" axis[i, j].set_title(\n",
" f\"Nuclei loaded: {e}\\n\"\n",
" f\"Droplets counted: {dc['droplets_analyzed'].unique()[0]}\\n\"\n",
" f\"Fill fraction: {fill_rate[e]:.4f}\")\n",
" for ax in axis[1::2, :].flatten():\n",
" ax.set_yscale(\"symlog\")\n",
" ax.set_ylabel(ax.get_ylabel() + \" (log)\")\n",
" ax.yaxis.set_major_formatter(ScalarFormatter())\n",
" fig.savefig(\n",
" f\"droplet_counts.barplot.{label}.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# # Plot experiment distributions jointly across experiments\n",
"ncols = 2\n",
"x = 'cells_per_droplet'\n",
"fig, axis = plt.subplots(\n",
" nrows, ncols,\n",
" figsize=(nrows * inc, ncols * inc),\n",
" tight_layout=True)\n",
"for i, l in enumerate(variables):\n",
" for j, e in enumerate(experiments):\n",
" dc = droplet_counts.loc[droplet_counts['loaded_nuclei'] == e]\n",
" for ax in axis[i, :]:\n",
" ax.plot(dc[x], dc[l], marker='o', markersize=2, linestyle=\"--\", label=e)\n",
" ax.fill_between(dc[x], (dc[l]).min(), dc[l], alpha=0.2)\n",
"for ax in axis[:, 1]:\n",
" ax.set_yscale(\"symlog\")\n",
" ax.yaxis.set_major_formatter(ScalarFormatter())\n",
"for i, l in enumerate(variables):\n",
" axis[i, 0].set_ylabel(l)\n",
" axis[i, 1].set_ylabel(l + \"(log)\")\n",
" for ax in axis[i, :]:\n",
" ax.set_xlabel(\"Nuclei per droplet\")\n",
"axis[0, 0].legend(title=\"Nuclei loaded\")\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.overlayed_lineplot.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These looks reasonably Poisson-like, but from observing the higher loading concentrations, it is clear that there is more droplets without cells (0 nuclei per droplet) than it would be explained by a Poisson distribution.\n",
"\n",
"Regardless of this zero-component, let's dig a bit further and check whether how the mean/variance relationship of these distributions is.\n",
"\n",
"In order to do that, we'll have to expand the count data in the original observations."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"def value_counts_to_observations(dc: pd.Series) -> np.ndarray:\n",
" \"\"\"\n",
" Generate observations from counts\n",
"\n",
" Parameters\n",
" ----------\n",
" dc : pd.Series\n",
" Series with index as value and values as counts.\n",
" \"\"\"\n",
" return np.array([i for i in dc.index for _ in range(dc[i])])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"# Check Poisson assumptions\n",
"# # Gather observed mean variance per loading concentration, with and without zeros\n",
"r_all = dict()\n",
"r_nonzero = dict()\n",
"for l in droplet_counts['loaded_nuclei'].unique():\n",
" c = value_counts_to_observations(\n",
" droplet_counts.query(f\"loaded_nuclei == {l}\").set_index(\"cells_per_droplet\")['count'])\n",
" r_all[l] = c.mean(), c.var()\n",
" r_nonzero[l] = c[c > 0].mean(), c[c > 0].var()\n",
"r_all = pd.DataFrame(r_all, index=['mean', 'var']).T\n",
"r_all.index.name = 'loaded_nuclei'\n",
"r_nonzero = pd.DataFrame(r_nonzero, index=['mean', 'var']).T\n",
"r_nonzero.index.name = 'loaded_nuclei'"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1.60711113] -0.232195442242209\n",
"[1.224458] -0.232195442242209\n"
]
}
],
"source": [
"# Let's quickly fit a linear model on the mean/variance relationship\n",
"lm_all = LinearRegression() \n",
"lm_all.fit(r_all['mean'].values.reshape((-1, 1)), r_all['var'].values)\n",
"\n",
"lm_nonzero = LinearRegression()\n",
"lm_nonzero.fit(r_nonzero['mean'].values.reshape((-1, 1)), r_nonzero['var'].values)\n",
"print(lm_all.coef_, lm_all.intercept_)\n",
"print(lm_nonzero.coef_, lm_all.intercept_)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(\n",
" 1, 2, figsize=(2 * inc * 1.5, inc * 1.5),\n",
" sharey=False)\n",
"fig.suptitle(\"Poissonian properties of cell loading in droplets\", fontsize=16)\n",
"axes[0].set_title(\"All observations\", fontsize=12)\n",
"axes[1].set_title(\"Only non-zero observations\", fontsize=12)\n",
"for ax, r_, lm_ in [(axes[0], r_all, lm_all), (axes[1], r_nonzero, lm_nonzero)]:\n",
" ax.plot(r_['mean'], r_['var'], marker=\"o\")\n",
" vmin = r_.min().min()\n",
" vmin -= vmin * 0.1\n",
" vmax = r_.max().max()\n",
" vmax += vmax * 0.1\n",
" ax.plot(\n",
" (vmin, vmax), (vmin, vmax),\n",
" linestyle=\"--\", color=\"grey\")\n",
" x = np.linspace(r_['mean'].min(), r_['mean'].max())\n",
" ax.plot(\n",
" x, lm_.predict(x.reshape((-1, 1))),\n",
" linestyle=\"--\", color=\"black\")\n",
"for ax in axes:\n",
" ax.set_xlabel(\"Mean\")\n",
" ax.set_ylabel(\"Variance\")\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.poisson_assumptions.mean_vs_var.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the observed relationship between mean and variance is obviously affected by whether we consider the observations of empty droplets (the later is more of a thought exercise).\n",
"\n",
"However, in both cases, the relationship between mean and variance is larger than 1. This means that the variance increases with higher loading concentrations. We will probably have to deal with higher variance than mean when modeling these data.\n",
"\n",
"Just as a curiosity, it is interesting to see that the variance is the lower range (the one recommended to use by 10X) is lower or equal to the mean. This is however not the sub-Poissonian loading properties of the Chromium (read more here: https://liorpachter.wordpress.com/2019/02/19/introduction-to-single-cell-rna-seq-technologies/ and here https://doi.org/10.6084/m9.figshare.7704659.v1) as that data refers to the *bead loading* process (which achieves sub-poissonian properties due to the deformable beads), and here we are dealing with *cell loading*.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Modeling the observed distributions\n",
"\n",
"We'll try to model these data in order to understand the latent process underlying its generation and in order to estimate parameters that would allow us to extrapolate the results to any other device loading concentration. This will be useful later when we ask the question:\n",
"> \"*if I load the device with X nuclei, how many collisions should I expect?*\"\n",
"\n",
"\n",
"## Zero-inflated Poisson distribution\n",
"Although from exploring the data a bit we already have reason to suspect these data might not follow exactly a Poisson distribution, for simplicity we will start modeling them with a Zero-Inflated Poisson distribution (ZIP). The zero-inflated component is due to the fact that even in high loading concentrations we observe a considerable ammount of droplets without cells. The ZIP has a $\\lambda$ (lambda) parameter to model both mean and variance, but unlike the usual Poisson, also has a $\\psi$ (psi) parameter for modeling the zero-inflated component.\n",
"\n",
"The way I interpret $\\psi$ is that it is estimating the fraction of droplets with zero cells which did not get filled due to some other factor which does not follow the Poisson process - in other words, the fraction of droplets which did not have the chance to be filled - a *\"technical\"* reason for being empty.\n",
"\n",
"This could easily be by design, for example in a initial period of burn-in in the device, where cells are not yet going into the microfluic channel that produces droplets."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"loaded_nuclei 15300 191250 382500 765000 1530000\n",
"cells_per_droplet \n",
"0 509 263 49 73 28\n",
"1 89 162 66 12 0\n",
"2 8 142 114 25 1\n",
"3 2 85 146 50 3\n",
"4 0 39 98 86 8\n",
"5 0 14 76 114 28\n",
"6 1 4 29 97 43\n",
"7 0 2 26 88 63\n",
"8 0 0 4 67 62\n",
"9 0 0 8 35 70\n",
"10 0 1 0 21 78\n",
"11 0 1 0 11 65\n",
"12 0 0 0 7 56\n",
"13 0 1 1 3 37\n",
"14 0 0 0 3 23\n",
"15 0 0 0 5 19\n",
"16 0 0 0 0 19\n",
"17 0 0 0 0 9\n",
"18 0 0 0 0 5\n",
"19 0 0 0 0 5\n",
"20 0 0 0 0 2\n",
"21 0 0 0 0 3\n",
"22 0 0 0 0 0\n",
"23 0 0 0 0 0\n",
"24 0 0 0 0 1\n"
]
}
],
"source": [
"# Let's assemble all data in a pivot dataframe\n",
"droplet_counts_p = droplet_counts.pivot_table(\n",
" index=\"cells_per_droplet\", columns=\"loaded_nuclei\", values=\"count\")\n",
"print(droplet_counts_p)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"# Now we expand these distributions into the actual observed data\n",
"counts = [\n",
" np.array([\n",
" i for i in droplet_counts_p.index\n",
" for _ in range(droplet_counts_p.loc[i, j])])\n",
" for j in droplet_counts_p.columns]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"609\n"
]
}
],
"source": [
"# # # # cap all to min(observations) ~= 609\n",
"n_exp = len(experiments)\n",
"m = min(map(len, counts))\n",
"counts = [np.random.choice(x, m) for x in counts]\n",
"print(m)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's our model (easier to read the code bottom to top):\n",
" - the observed count data comes from a Zero-Inflated Poisson distribution, of parameters lambda (theta), psi;\n",
" - the $\\lambda$ (lambda) parameter comes from a Exponential distribution ($\\lambda$ > 0) for which we impose as prior knowledge the mean number of cells per droplet for within a given experiment;\n",
" - the $\\psi$ (psi) parameter comes from a Uniform distribution (0 < $\\psi$ < 1) and we don't impose any prior on it;\n",
" - each of these parameters have shape of `n_exp` which is the number of experiments/loading concentrations (i.e. they will be estimated for each loading concentration separately)."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"# # Fit Zero Inflated Poisson\n",
"with pm.Model() as zip_model:\n",
" psi = pm.Uniform('psi', shape=(1, n_exp))\n",
" lam = pm.Exponential('lam', lam=np.mean(counts), shape=(1, n_exp))\n",
" pois = pm.ZeroInflatedPoisson('pois', psi=psi, theta=lam,\n",
" observed=pd.DataFrame(counts).T.values)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"# Parameters for the MCMC (NUTS) sampler\n",
"sampler_params = dict(\n",
" random_seed = 0, # random seed for reproducibility\n",
" n_init = 200000, # number of iterations of initializer (this is actually the default)\n",
" tune = 5000, # number of tuning iterations (this is probably the most critical)\n",
" draws = 5000, # number of iterations to sample (these will be used for our parameter estimates)\n",
")\n",
"TAKE_AFTER = 1000 # number of initial iterations to discard (just as precaution we'll exclude these)\n",
"\n",
"vi_params = dict(\n",
" n = 50000 # iterations\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [lam, psi]\n",
"Sampling 2 chains, 0 divergences: 100%|██████████| 20000/20000 [00:30<00:00, 657.28draws/s]\n"
]
}
],
"source": [
"# To fit the model, we use MCMC sampling, because it is tractable\n",
"with zip_model:\n",
" zip_trace = pm.sample(**sampler_params)[TAKE_AFTER:]"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [00:08<00:00, 1180.97it/s]\n"
]
}
],
"source": [
"# We can now sample from the model posterior\n",
"with zip_model:\n",
" zip_ppc_trace = pm.sample_posterior_predictive(\n",
" trace=zip_trace, samples=sampler_params['draws'] * 2, random_seed=sampler_params['random_seed'])"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Average Loss = 5,780.7: 100%|██████████| 50000/50000 [00:30<00:00, 1623.27it/s]\n",
"Finished [100%]: Average Loss = 5,780.7\n"
]
}
],
"source": [
"# Just for fun, let's also do Variational Inference too\n",
"from pymc3.variational.callbacks import CheckParametersConvergence\n",
"\n",
"with zip_model:\n",
" zip_advi = pm.ADVI()\n",
" zip_tracker = pm.callbacks.Tracker(\n",
" mean=zip_advi.approx.mean.eval,\n",
" std=zip_advi.approx.std.eval\n",
" )\n",
" zip_mean_field = zip_advi.fit(\n",
" n=vi_params['n'], callbacks=[CheckParametersConvergence(), zip_tracker])\n",
"zip_vi_trace = zip_mean_field.sample(draws=sampler_params['draws'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To check whether the MCMC model converged, we can observe the value of each parameter in the sequence of samples. Stabilization of the value over the chain means the model converged.\n",
"\n",
"There are two lines per parameter because I used 2 CPUs to sample chains in parallel."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"axes = pm.traceplot(zip_trace)\n",
"if savefig:\n",
" axes[0, 0].figure.savefig(\"droplet_counts.ZIP_MCMC_performance.svg\",\n",
" bbox_inches=\"tight\", dpi=300)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the $\\lambda$ parameter increases with device loading concentration. The $\\psi$ however has a little back and forth.\n",
"\n",
"In addition, the estimate of $\\psi$ for the lowest loading concentration is quite broad. This should come as no surprise as this distribution is in fact mostly zeros - separating the ones expected from a Poisson process from the \"technical\" ones, is hard."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's now have a look at the Variational Inference performance.\n",
"\n",
"The objective is to maximize the evidence lower bound (ELBO). This effectively makes Bayesian inference an optimization problem."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8, 6))\n",
"mu_ax = fig.add_subplot(221)\n",
"std_ax = fig.add_subplot(222)\n",
"hist_ax = fig.add_subplot(212)\n",
"mu_ax.plot(zip_tracker['mean'])\n",
"mu_ax.set_title('Mean')\n",
"std_ax.plot(zip_tracker['std'])\n",
"std_ax.set_title('SD')\n",
"hist_ax.plot(zip_advi.hist)\n",
"hist_ax.set_title('Negative ELBO')\n",
"if savefig:\n",
" fig.savefig(\"droplet_counts.ZIP_VI_performance.svg\", bbox_inches=\"tight\", dpi=300)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"zip_vi_trace = zip_mean_field.sample(draws=sampler_params['draws'])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" lam_mean_mcmc lam_mean_vi lam_std_mcmc lam_std_vi \\\n",
"loaded_nuclei \n",
"15300 0.437405 0.439764 0.085570 0.048505 \n",
"191250 1.999454 1.988304 0.081287 0.080989 \n",
"382500 3.321722 3.326178 0.082102 0.085014 \n",
"765000 5.766861 5.757179 0.103082 0.111554 \n",
"1530000 9.992216 10.021525 0.130423 0.140611 \n",
"\n",
" psi_mean_mcmc psi_mean_vi psi_std_mcmc psi_std_vi \n",
"loaded_nuclei \n",
"15300 0.482498 0.463390 0.091216 0.046608 \n",
"191250 0.717861 0.717384 0.024540 0.024842 \n",
"382500 0.949200 0.948621 0.012091 0.012536 \n",
"765000 0.902959 0.903910 0.012053 0.013317 \n",
"1530000 0.950930 0.950629 0.008769 0.009652 \n"
]
}
],
"source": [
"# # Let's gather the model parameters in a dataframe\n",
"zip_res = dict()\n",
"for param in ['lam', 'psi']:\n",
" for red_func, metric in [(np.mean, '_mean'), (np.std, '_std')]:\n",
" for sampler, s_label in [(zip_trace, '_mcmc'), (zip_vi_trace, '_vi')]:\n",
" zip_res[param + metric + s_label] = red_func(sampler[param], axis=0).flatten()\n",
"zip_res = pd.DataFrame(zip_res, index=pd.Series(experiments, name=\"loaded_nuclei\"))\n",
"if savefig:\n",
" zip_res.to_csv(\"droplet_counts.joint_model.ZIP_params.csv\")\n",
"print(zip_res)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# # # Plot estimated lamba\n",
"fig, axis = plt.subplots(1, 2, figsize=(2 * 4, 4), sharey=True, sharex=True)\n",
"fig.suptitle(\"Nuclei loading counts modeled as output of a ZeroInflatedPoisson function\", fontsize=16)\n",
"axis2 = [ax.twinx() for ax in axis]\n",
"# axis[0].get_shared_y_axes().join(axis[1])\n",
"for i, method in enumerate([\"mcmc\", \"vi\"]):\n",
" axis[i].set_title(\"\\n\" + method.upper(), fontsize=14)\n",
" axis[i].plot(\n",
" zip_res.index,\n",
" zip_res[f'lam_mean_{method}'],\n",
" color=colors[0], marker='o')\n",
" axis[i].fill_between(\n",
" zip_res.index,\n",
" zip_res[f'lam_mean_{method}'] - zip_res[f'lam_std_{method}'] * 3,\n",
" zip_res[f'lam_mean_{method}'] + zip_res[f'lam_std_{method}'] * 3,\n",
" color=colors[0], alpha=0.2)\n",
" axis[i].tick_params(axis='y', labelcolor=colors[0])\n",
"\n",
" axis2[i].plot(\n",
" zip_res.index,\n",
" zip_res[f'psi_mean_{method}'],\n",
" color=colors[1], marker='o')\n",
" axis2[i].fill_between(\n",
" zip_res.index,\n",
" zip_res[f'psi_mean_{method}'] - zip_res[f'psi_std_{method}'] * 3,\n",
" zip_res[f'psi_mean_{method}'] + zip_res[f'psi_std_{method}'] * 3,\n",
" color=colors[1], alpha=0.2)\n",
" axis2[i].tick_params(axis='y', labelcolor=colors[1])\n",
" axis[i].set_xlabel(\"Nuclei loaded\")\n",
" axis[i].set_ylabel(r\"$\\lambda$\", color=colors[0])\n",
" axis2[i].set_ylabel(r\"$\\psi$\", color=colors[1])\n",
" axis2[i].set_ylim(0, 1)\n",
"fig.tight_layout()\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.ZIP_params.svg\",\n",
" dpi=300, bbox_inches=\"tight\", tight_layout=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Alright!\n",
"\n",
"The plot on the left shows the MCMC estimates for the two parameters, and the right one the one from Variational Inference. They are really similar. The $\\lambda$ parameter looks pretty (but not quite) linear within the range of observed values. This is no suprise as the observed count distributions clearly show a shift towards more filled droplets and droplets with more cells.\n",
"\n",
"As MCMC given enough sampling is guaranteed to find an optimal solution (and has other advantages such as a generative process), I will use mostly those estimates. They seem to support the observed data well. We can also see that we have less confidence for the estimation of $\\psi$ in the lower end of droplet concentration, as expected.\n",
"\n",
"So overal we probably have good estimates of the parameters of a ZIP model."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# # # Plot estimated zero inflated component (PSI) vs observed zero fraction\n",
"fill_rate2 = fill_rate.to_frame().join(zip_res['psi_mean_mcmc'])\n",
"\n",
"fig, axis = plt.subplots(figsize=(5, 5))\n",
"axis.scatter(fill_rate2['fill_rate'], fill_rate2['psi_mean_mcmc'])\n",
"axis.plot((0, 1), (0, 1), linestyle=\"--\", color=\"grey\")\n",
"axis.set_xlim((0, 1))\n",
"axis.set_ylim((0, 1))\n",
"axis.set_xlabel(\"Fill fraction observed\\n(Technical and experimental fractions)\")\n",
"axis.set_ylabel(\"Zero inflated Poisson's $\\psi$ \\n(Technical only fill fraction predicted)\")\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.fill_fraction.measured_vs_ZIP_psi_param.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This shows that in high loading concentrations, the empty droplets are almost fully explained by a technical component then by the \"normal\" underlying Poisson process."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Using this model to project doublet rates in scifiRNA-seq data\n",
"\n",
"Now let's project doublet rates as a function of loading rate, given a fixed number of barcodes in round 1.\n",
"\n",
"We simply have to divide the number of input cells per number of barcodes since round 1 barcoding effectively reduces the number of collisions we care about by the same order.\n",
"\n",
"Then, we simply need to lookup the respective ZIP parameter for that input and get what part of the cell per droplet distribution is bigger than 1.\n",
"\n",
"In theory the second step could be done simply by getting the `1 - Poisson($\\lambda$).CDF(2)`, but scipy does not implement a CDF method for a Zero Inflated Poisson distribution and PYMC3 also does not have a logcdf/logpmf yet :(\n",
"\n",
"We will try to sample from the distribution (using scipy's `rvs` method) and set a number of those draws to 0 conditioned on a draws from a bernouli distribution of parameter `PSI` to simulate the zero inflated component of the ZIP."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"# # Okay, so we interpolate over loading concentrations and get the values of each parameter\n",
"\n",
"zip_lambda_f = scipy.interpolate.interp1d(\n",
" zip_res.index, zip_res['lam_mean_mcmc'],\n",
" kind='quadratic', fill_value=\"extrapolate\")\n",
"zip_psi_f = scipy.interpolate.interp1d(\n",
" zip_res.index, zip_res['psi_mean_mcmc'],\n",
" kind='quadratic', fill_value=\"extrapolate\")"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"# # Now we use those functions to predict across a range\n",
"x = np.linspace(1000, zip_res.index.max())\n",
"zip_lambda_y = zip_lambda_f(x)\n",
"zip_psi_y = zip_psi_f(x)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# # # Plot estimated lamba\n",
"fig, axis = plt.subplots(figsize=(5, 5))\n",
"axis.plot(\n",
" zip_res.index, zip_res['lam_mean_mcmc'],\n",
" color=colors[0], marker=\"o\", linestyle=\"--\")\n",
"axis.plot(x, zip_lambda_y, color=colors[0], linestyle=\"-\")\n",
"axis.tick_params(axis='y', labelcolor=colors[0])\n",
"axis2 = axis.twinx()\n",
"axis2.plot(\n",
" zip_res.index, zip_res['psi_mean_mcmc'],\n",
" color=colors[1], marker=\"o\", linestyle=\"--\")\n",
"axis2.plot(x, zip_psi_y, color=colors[1], linestyle=\"-\")\n",
"axis2.tick_params(axis='y', labelcolor=colors[1])\n",
"axis.set_xlabel(\"Nuclei loaded\")\n",
"axis.set_ylabel(r\"$\\lambda$\", color=colors[0])\n",
"axis2.set_ylabel(r\"$\\psi$\", color=colors[1])\n",
"axis2.set_ylim(0, 1)\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.ZIP_params.interpolated.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So the interpolation over $\\psi$ does not look great and is obviously overfitting.\n",
"\n",
"**NOTE**: I will likely replace this with simple linear regression."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" lambda psi doublet_rate\n",
"barcodes loaded_nuclei \n",
"1 1.000000e+03 0.293869 0.463584 0.01689\n",
" 2.448437e+03 0.308521 0.465498 0.01798\n",
" 5.994843e+03 0.344288 0.470187 0.02115\n",
" 1.467799e+04 0.431214 0.481675 0.03351\n",
" 3.593814e+04 0.640165 0.509853 0.06886\n",
" 8.799225e+04 1.128507 0.579146 0.17910\n",
" 2.154435e+05 2.184723 0.750606 0.48059\n",
" 5.274997e+05 4.267001 0.991129 0.91848\n",
" 1.291550e+06 8.774839 0.877488 0.87683\n",
" 3.162278e+06 15.901714 1.000000 1.00000\n",
"96 1.000000e+03 0.283844 0.462276 0.01548\n",
" 2.448437e+03 0.283997 0.462296 0.01524\n",
" 5.994843e+03 0.284371 0.462345 0.01469\n",
" 1.467799e+04 0.285288 0.462464 0.01520\n",
" 3.593814e+04 0.287532 0.462757 0.01688\n",
" 8.799225e+04 0.293024 0.463473 0.01612\n",
" 2.154435e+05 0.306457 0.465228 0.01714\n",
" 5.274997e+05 0.339254 0.469525 0.02150\n",
" 1.291550e+06 0.419013 0.480054 0.03157\n",
" 3.162278e+06 0.611036 0.505875 0.06396\n",
"384 1.000000e+03 0.283765 0.462266 0.01506\n",
" 2.448437e+03 0.283803 0.462271 0.01581\n",
" 5.994843e+03 0.283897 0.462283 0.01554\n",
" 1.467799e+04 0.284126 0.462313 0.01492\n",
" 3.593814e+04 0.284687 0.462386 0.01578\n",
" 8.799225e+04 0.286061 0.462565 0.01562\n",
" 2.154435e+05 0.289424 0.463004 0.01621\n",
" 5.274997e+05 0.297652 0.464077 0.01689\n",
" 1.291550e+06 0.317764 0.466707 0.01923\n",
" 3.162278e+06 0.366803 0.473149 0.02625\n",
"1536 1.000000e+03 0.283745 0.462263 0.01516\n",
" 2.448437e+03 0.283754 0.462264 0.01518\n",
" 5.994843e+03 0.283778 0.462267 0.01534\n",
" 1.467799e+04 0.283835 0.462275 0.01573\n",
" 3.593814e+04 0.283975 0.462293 0.01540\n",
" 8.799225e+04 0.284319 0.462338 0.01550\n",
" 2.154435e+05 0.285160 0.462447 0.01570\n",
" 5.274997e+05 0.287219 0.462716 0.01567\n",
" 1.291550e+06 0.292258 0.463373 0.01668\n",
" 3.162278e+06 0.304582 0.464983 0.01789\n"
]
}
],
"source": [
"# # Now we sample across the X\n",
"# x = np.linspace(1000, zip_res.index.max(), 10)\n",
"x = np.logspace(3, 6.5, num=10, base=10)\n",
"n = int(1e5)\n",
"f = dict()\n",
"barcode_combos = [1, 96, 96 * 4, 96 * 16]\n",
"for barcodes in barcode_combos:\n",
" for input_nuclei in x:\n",
" psi = zip_psi_f([input_nuclei / barcodes])[0]\n",
" # bounding PSI to [0, 1] since the extrapolation is unbounded\n",
" psi = min(psi, 1) \n",
" psi = max(psi, 0)\n",
" lamb = zip_lambda_f([input_nuclei / barcodes])[0]\n",
"\n",
" # s = scipy.stats.bernoulli(psi).rvs(n) * scipy.stats.poisson(lamb).rvs(n)\n",
" s = pm.distributions.ZeroInflatedPoisson.dist(psi=psi, theta=lamb).random(size=n)\n",
"\n",
" # Now we simply count fraction of doublets (droplets with more than one nuclei)\n",
" f[(barcodes, input_nuclei)] = [lamb, psi, (s > 1).sum() / n]\n",
"f = pd.DataFrame(f, index=[\"lambda\", \"psi\", \"doublet_rate\"]).T\n",
"f.index.names = ['barcodes', 'loaded_nuclei']\n",
"print(f)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axis = plt.subplots(1, 1, figsize=(1 * 5, 5))\n",
"fig.suptitle(\"Prediction with Zero Inflated Poisson\", fontsize=16)\n",
"for barcodes in barcode_combos:\n",
" axis.plot(\n",
" f.loc[barcodes].index, f.loc[barcodes, 'doublet_rate'] * 100,\n",
" linestyle=\"-\", marker=\"o\", label=f\"{barcodes} round1 barcodes\")\n",
"axis.set_xscale(\"log\")\n",
"axis.set_yscale(\"log\")\n",
"axis.set_xlabel(\"Nuclei loaded\")\n",
"axis.set_ylabel(\"% collisions\")\n",
"axis.legend()\n",
"for x_ in [100, 10, 5, 1]:\n",
" axis.axhline(x_, color=\"grey\", linestyle=\"--\")\n",
"for y_ in [10500, 191000, 383000, 765000, 1530000]:\n",
" axis.axvline(y_, color=\"grey\", linestyle=\"--\")\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.ZIP_params.prediction_of_doublet_rate.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Zero-inflated Negative binomial distribution\n",
"\n",
"We saw previously that the Poisson distribution (or the Zero-inflated Poisson) might not be the best for these data, since the relationship between variance and mean is not 1.\n",
"\n",
"A related distribution that models mean and variance with with two parameters is the Negative Binomial distribution. Just as we used the zero-inflated component on the ZIP, we can also have a Zero-Inflated Negative Binomial (ZINB) distribution. The ZINB has a $\\mu$ (mu) parameter to model the mean, a $\\alpha$ parameter for the dispersion, and a $\\psi$ (psi) parameter for the zero-inflated component.\n",
"\n",
"My interpretation of $\\psi$ is the same as in ZIP - the main difference between the two distributions is in how variation is handled.\n",
"\n",
"Here's this model (again from bottom to top):\n",
" - the observed count data comes from a Zero-Inflated Negative Binomial distribution, of parameters mu, alpha and psi;\n",
" - the $\\mu$ (mu) parameter, just like in the ZIP distribution, comes from a Exponential distribution ($\\lambda$ > 0) for which we impose as prior knowledge the mean number of cells per droplet for within a given experiment;\n",
" - the $\\alpha$ (alpha) parameter, is Gamma distributed, which is in it's turn parametrized with $\\alpha$ (shape; $\\alpha$ > 0) and $\\beta$ (scale/rate; $\\beta$ > 0). For the priors, here I'm a bit at loss so for $\\alpha$ I use the the standard deviation of the observed counts and 5 for $\\beta$;\n",
" - the $\\psi$ (psi) parameter comes from a Uniform distribution (0 < $\\psi$ < 1) and we don't impose any prior on it;\n",
" - each of these parameters have shape of `n_exp` which is the number of experiments/loading concentrations (i.e. they will be estimated for each loading concentration separately)."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"with pm.Model() as zinb_model:\n",
" psi = pm.Uniform('psi', shape=(1, n_exp))\n",
" mu = pm.Exponential('mu', lam=np.mean(counts), shape=(1, n_exp))\n",
" alpha = pm.Gamma('alpha', alpha=np.std(counts), beta=5, shape=(1, n_exp))\n",
" nb = pm.ZeroInflatedNegativeBinomial('nb', psi=psi, mu=mu, alpha=alpha,\n",
" observed=pd.DataFrame(counts).T.values)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [alpha, mu, psi]\n",
"Sampling 2 chains, 52 divergences: 100%|██████████| 20000/20000 [01:45<00:00, 188.68draws/s]\n",
"There were 49 divergences after tuning. Increase `target_accept` or reparameterize.\n",
"There were 3 divergences after tuning. Increase `target_accept` or reparameterize.\n"
]
}
],
"source": [
"# To fit the model, let's use MCMC to sample, because it is tractable\n",
"with zinb_model:\n",
" zinb_trace = pm.sample(**sampler_params)[TAKE_AFTER:]"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [00:11<00:00, 850.79it/s]\n"
]
}
],
"source": [
"with zinb_model:\n",
" zinb_ppc_trace = pm.sample_posterior_predictive(\n",
" zinb_trace, sampler_params['draws'] * 2, random_seed=sampler_params['random_seed'])"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Average Loss = 5,924.6: 100%|██████████| 50000/50000 [00:53<00:00, 935.31it/s] \n",
"Finished [100%]: Average Loss = 5,924.6\n"
]
}
],
"source": [
"# Just for fun, let's also do Variational Inference too\n",
"from pymc3.variational.callbacks import CheckParametersConvergence\n",
"\n",
"with zinb_model:\n",
" zinb_advi = pm.ADVI()\n",
" zinb_tracker = pm.callbacks.Tracker(\n",
" mean=zinb_advi.approx.mean.eval,\n",
" std=zinb_advi.approx.std.eval\n",
" )\n",
" zinb_mean_field = zinb_advi.fit(\n",
" n=vi_params['n'], callbacks=[CheckParametersConvergence(), zinb_tracker])\n",
"zinb_vi_trace = zinb_mean_field.sample(draws=sampler_params['draws'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's inspect the model fits."
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"axes = pm.traceplot(zinb_trace)\n",
"if savefig:\n",
" axes[0, 0].figure.savefig(\"droplet_counts.joint_model.ZINB_sampling.svg\",\n",
" bbox_inches=\"tight\", dpi=300)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8, 6))\n",
"mu_ax = fig.add_subplot(221)\n",
"std_ax = fig.add_subplot(222)\n",
"hist_ax = fig.add_subplot(212)\n",
"mu_ax.plot(zinb_tracker['mean'])\n",
"mu_ax.set_title('Mean')\n",
"std_ax.plot(zinb_tracker['std'])\n",
"std_ax.set_title('SD')\n",
"hist_ax.plot(zinb_advi.hist)\n",
"hist_ax.set_title('Negative ELBO');\n",
"if savefig:\n",
" fig.savefig(\"droplet_counts.ZINB_VI_performance.svg\", bbox_inches=\"tight\", dpi=300)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Okay, it didn't converge fully but it's probably good enough."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" mu_mean_mcmc mu_mean_vi mu_std_mcmc mu_std_vi \\\n",
"loaded_nuclei \n",
"15300 0.252255 0.240411 0.047009 0.027336 \n",
"191250 1.552145 1.539827 0.105615 0.077658 \n",
"382500 3.181334 3.171134 0.093812 0.097421 \n",
"765000 5.687228 5.676871 0.135440 0.144371 \n",
"1530000 9.929232 9.973743 0.173669 0.190277 \n",
"\n",
" alpha_mean_mcmc alpha_mean_vi alpha_std_mcmc alpha_std_vi \\\n",
"loaded_nuclei \n",
"15300 0.885246 0.846011 0.299376 0.268840 \n",
"191250 1.785842 1.743211 0.354235 0.264529 \n",
"382500 5.559653 5.543956 0.709964 0.734716 \n",
"765000 8.286683 8.303245 0.914013 0.970718 \n",
"1530000 11.836782 11.840635 1.064922 1.160125 \n",
"\n",
" psi_mean_mcmc psi_mean_vi psi_std_mcmc psi_std_vi \n",
"loaded_nuclei \n",
"15300 0.830984 0.857926 0.115343 0.079732 \n",
"191250 0.923597 0.925170 0.045748 0.035024 \n",
"382500 0.987763 0.985989 0.009495 0.015404 \n",
"765000 0.912406 0.912225 0.012326 0.013725 \n",
"1530000 0.951503 0.952088 0.008837 0.009638 \n"
]
}
],
"source": [
"# Let's collect the model posteriors\n",
"zinb_res = dict()\n",
"for param in ['mu', 'alpha', 'psi']:\n",
" for red_func, metric in [(np.mean, '_mean'), (np.std, '_std')]:\n",
" for sampler, s_label in [(zinb_trace, '_mcmc'), (zinb_vi_trace, '_vi')]:\n",
" zinb_res[param + metric + s_label] = red_func(sampler[param], axis=0).flatten()\n",
"zinb_res = pd.DataFrame(zinb_res, index=pd.Series(experiments, name=\"loaded_nuclei\"))\n",
"if savefig:\n",
" zinb_res.to_csv(\"droplet_counts.joint_model.ZINB_params.csv\")\n",
"print(zinb_res)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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tWqBWqwkJCXFbZmZmZqn95JwTJeHuOYPdGl69ejV16tQBICAggCFDhrBnzx5atGhRark1atQgKCiIS5cuFRsOKEsbGjZsWGo5JpMJi8XCpEmT6NChA2CfjwcOHGDPnj2l1hVg48aNrFy5kueee65I2DMpKYnGjRtLimGHDh3w9/fntddeY+DAgVSrVg2AyMhIF+/gyJEjCQoK4uOPP5bGU3R0NN27d+err74qMfG/f//+vPDCCwA0atSIn3/+mW3btjFgwACpH6pUqeK2T86cOUONGjVISkqSxkDr1q355Zdf2Lt3L507d3Ypo2HDhmVqp4+PD6tXr+bll1+W8qpat25Np06d3LahLO+Z//3vf5w5c4bvvvuOyMhIlzJXrlzJiBEjWLRoEWFhYaSkpKBWq0lISECpVDJt2jSpnLLIeedYrlu3rtv0km7dujF9+nTy8vLw9vbGbDazadMmKXy4YsUKTCaTy/smNjaWLl268P333/P4448D9oiBO6Pj1VdfLTGtJS8vj+XLlxMbGwvYZeWwYcM4ceIE0dHRzJ49m9jYWJdFNNWqVePFF19ky5YtkkdTrVaTlJSETqejTZs2rF69GkEQmDp1Kkqlkvj4eL755hsOHTpUJCG/POZSnTp1CAsLcxuWLY3S+mDhwoVUq1aNuXPnolKppDqvW7cOf39/qX8bNWpEUFBQkYhWWftQpVKxcOFCPDw8ALtHuySD2MlNbVHRt29fYmNjeffdd8nNzb2ZSyUOHDhA8+bNJQUMIDExkQ0bNhAYGOhy7pkzZ7h69SodO3aUrASr1UqHDh3Iy8tzCUeVlb1799KyZUuXl01QUBCtW7eWBkyvXr2YM2cOBoOBI0eO8N1337Fq1SoAyXr5/fffad++PQqFQirnoYceKvX+BQeYUqkkJCREsnB3795N3bp1JQUM7ALYKbDdYTQaOX78eBGhNm7cOBYsWMDp06fJyMiga9euLr8/+uijgH012s3QuHFjl79DQ0NLtNDj4+NZu3YtQ4cOZc2aNWRmZjJhwoRiQyJOnBMKoFKlSgDExMRIx5xjRa/Xc+jQISwWi9s2WiwWDh06JHmynEIC7AmYBZ+H8/l36NDBZbwlJCTw+++/u12ts3v3btq0aYNSqZTOb9KkCT4+PuzcuZMzZ86QmZnpcl+FQlHqWElISGD58uUIgsCJEyf48ccfpXCAsx7x8fGcOXOGXr16sWjRIv78808GDhzoEioqSFn66XaIioqSXlrONmg0mpseYyVRXm3w8PBg6dKldOjQgQsXLrB9+3aWLVvGqVOnsFgspV6flpbG66+/TkxMDK+88orLb/n5+Rw+fJhOnToVkVuCILiEWWvXru1y7d69e0lMTHRJSq5Tpw5RUVHs3bu3xDoVHMt+fn54eXmVeWFQdHQ0n332Gb6+vqSmpvLLL7+QkpKC1WotdpVaWdp56NAhbDaby/j38PAoMam7tPfM7t27qVmzJjVr1pTuqdPpaNasGbt27QLsc7ljx44u4eHCY6Yscr40Hn74YWw2G1u2bAHs4c28vDzJ0Nu9ezdNmjTBz89PqmuVKlWIjIx0SXPQ6XR8+eWXfPnll3zxxRcsXryYp59+mmnTprk1/pyo1Wqio6Olv515Wvn5+eTl5XHs2LEi7W7fvj3+/v4u46levXrodDrp7+DgYBo2bIhSaVcRtFotXl5e5OTkFKnD7c6l26WkPgC7ztGhQwdJAQP7GPvqq69cjrnjZvowKipKUsCc9SicluK2/qWeUQClUsn777/PE088wYwZM3jqqadu5nLAnnxXVs+LM59k7NixbsOVpeUNuEOv19OgQYMix4ODg0lNTQXsVslbb70lucxr164t1dkZn9fr9UWURqeyUBIFBzrY+9RZZlZWlltPREnlOt3vwcHBN/W7r68vWq32ppVpT09Pl78L1t8dEydOJCQkhG+++YbNmzejVCpJSEiQwprF4e3tXeRY4b5z4mxj4X5ytjk3Nxe9Xo9Go3FR/gEqV64sxfad463gC6MghT21zmvWrFnjNsRz7do1qW43O1ZsNhsffPABa9aswWKxUKNGDeLj44EbY7BHjx7YbDZWrVrFzJkzmTFjBlFRUUyePNlFYXVSln66HSpXruzyt0KhICAgQLpveVCebdi4cSNTp07l/PnzBAYGEh0djU6nKzGnDuzP5pVXXsFmszFr1qwiq7j0ej2CIDBjxgxmzJhR5PqCcqvwvNTr9W7ncnBwcKltK0m2lIX58+ezZMkScnJyCA8PJy4uDrVaXWwZZWmns29uZvyX9p7Jysri9OnTbj1HzhVtmZmZReRL4XuWRc6XRnBwMK1ateLHH3/k0Ucf5YcffqBFixaSNzorK4tDhw65rWvB+aJUKovM2fbt23Px4kVmz57Ns88+61Zh0Gq1kqLkLAfsUaScnBxEUXQ7noKCglzGkzt5W1jWl8StzqXyoKQ+ALvMKO79WBo304eF+0uhUJRpHN2UEgZ2bW/gwIEsWrTIxep13hRcB3BhS8zHx6dIUqLZbGbnzp1F3Jy+vr6APU+goGfESUkeouLw9/d3m+R6/fp1AgICAHjvvff47bffWLRoEc2bN0er1ZKamuqSgBkQEEB6erpLGSUtLigLISEhHDt2rMjxjIyMIhazE+fkKdynaWlpnDt3ThJEheuq1+sxm81Sm4EiE6Y8ttfQ6XSMGjWKUaNGcfr0aTZs2MC8efOYPXs277zzzm2XD0htuH79OqGhodJx53MOCAggLy8Pi8WCXq/Hz89POicrK0sK9/n6+qJQKFi9erVbgRcYGFhkAYePjw+JiYn85z//cXu+06Iu/HxKGyvz589n7dq1TJs2jYSEBLy8vMjPz+fLL790Oa9nz5707NmT9PR0Nm3axNy5cxk/frzbnJuy9JOTWxkLhdskCAKZmZkuAux2x9jNtKEkzp49y+jRo+nZsyeffvqpZD2XJV9x3rx57N27lzlz5lC9evUivzvn5EsvveQ2nFZcuBjs8qnwXAV7+5yhtzvB//73P2bPns3bb79Nt27dJNnbunXrYq8pSzv//PNPwD7+Cz6v0sZ/Se8ZX19f6tevXyS/DpCUvtDQ0CJzrvDfZZHzZaFbt25MmjSJ7OxsNm/e7JJr6+PjQ4cOHdzufedO8SlMVFQU27dvJyMjo4iRUxpOeVbceCrrXCmN25lLJVEWfaIsuNM5srKyOHr0aKlbyvwTfXhLO+YPHz6cGjVqMHPmTJfjTi/D1atXpWOFQxFNmzZl7969LisLdu7cyeDBg4s0NCIigoCAAK5cuUJMTIz0v6ysLGbPnn1LlnuzZs3YvXu3y0PJyMhg586d0gM5ePAg7du3p23bttKk/vXXX4EbA6Jly5Zs3rzZJbfJmWB/q8THx/PXX3+55Ar9+eefJeYO+fj4UK9ePckd7mTlypW88sorREREEBgYWGTjue+//x5AarOPj4/LcxMEodgkzJIoaJHYbDa6desmrVyLiIjgpZdeokmTJly+fPmmyy6OmJgYNBqN2zaq1WpiY2OlnKSCKzOzs7M5ePCg9HezZs0QRZHc3FyX8bZz506WL1/uEtooeM3p06eJjo6Wzq9SpQozZszgr7/+onbt2oSEhLhdWVsSBw8eJDo6mocffljKeyw8Bt944w1JuAcHB9O7d2+efPLJYvu2LP0ERceCwWDg+PHjLtcUfM5OTpw4QVpamvT3li1bsFqttGzZ0m25QJFFJ+7KvZU2lMaxY8ewWCwMHjxYemkYDAb2799fovW6d+9e5s+fT58+fejSpYvbc3x8fKhfvz7nz593GUfOFZQF+6gwzZo1Y+PGjS7hsFOnTvHnn3/e0T3IDhw4QFhYGP/5z38kBezo0aNkZGS49EfB51OWdsbFxaHVal3Gv9Vq5bfffiu1TsW9Z5o2bcqFCxcIDw+X7hkdHc3y5cslORgfH8/WrVtdlP6NGze6lFMWOV9auArgwQcfRBRFZs2ahclkckk1cMqHqKgoqa716tUjJSWl1AVXAEeOHMHX17eIJ7EseHt706BBgyJz5ddffyUnJ6fcxtOtzqXSKIs+URbi4uLYtm2by1j4/vvvGTJkCDabrUSZ80/04U17wsAeA3733Xd57rnnXI63bNkSDw8PJk+ezEsvvcSlS5eYP3++i7v+ueeeY926dQwePJiBAwdiMBj46KOPeOihh4p4e9RqNSNHjuSDDz4A7FbZhQsXmDFjBrVq1bolT9jzzz/PunXrGDBggLQqwllHZ3tiYmLYtGkT69ato0qVKuzatUtaFuzcWmDo0KH06tWL4cOH06dPH06ePCnlE9wqPXr0YMGCBQwdOpRRo0ZJSfUKhcIl96www4cPZ/To0bz55pt07dqVP//8k08++YTx48ejUqkYMWIE7733Hv7+/iQmJnLy5EmSk5Pp2rUr9erVA+whuGXLlrFy5Urq1KnD6tWrSU9PL5O1VhA/Pz+OHj3Knj17aN68ObGxscydOxcPDw8iIiI4dOgQ+/fvLzcvGNjdwv369WPJkiWoVCqaN2/O3r17pe09/P398ff3p0ePHkyZMgWTyUTVqlVZuHChixLdoEEDunTpwrhx4xgxYgSRkZHs2bOH+fPn8+KLL7qdrMOGDeOZZ55h9OjR9OrVC7PZzLx587h8+TINGzZEoVAwatQo3nzzTYKDg2nbti0//PADR48eLVHAx8TE8PHHH/Ppp59Sr149jhw5wty5c1EoFNIYbN68Oa+++iozZ86kTZs2pKWl8fnnn/Pggw/ecj+BfSx8/fXXUqKqu5XIhZ8z2F+uQ4cOZcSIEWRnZ/PRRx/RsWNHKY+wQ4cOTJo0ieTkZJo3b86GDRv4448/ipSblpbGb7/9RnR0tFSnm21DaTRo0ACVSsWHH37If/7zHzIzM1m6dCnXr18vdpNIg8HAK6+8QuXKlXnkkUdcFHgnWq2Whg0bMmrUKIYPH46Pjw8PPvggmZmZJCUloVQqpTnnjqFDh/LMM88waNAgnn/+eXJyckhKSiI8PFxK4r4TxMTEsHr1alJSUmjRogWnTp0qMt7A/nz2799PfHw8jRs3LrWdnp6eDBw4kI8//hidTkeDBg34/PPPuX79eqn7KBb3nnnyySdZuXIlAwYMYPDgwQQEBLBmzRp++uknevToAcDgwYN57LHHGDlyJE8//TRnz55l9uzZwA1Fsixy3qmQbt26FS8vL7feSB8fHzp27MjatWtJSEhwGYMvvPAC33zzDS+++CL9+/dHo9GwdOlSDh486LKCWhAEl/FkNptZv349e/bsYfjw4W4NwLIwcuRIhg0bxssvv8wTTzzB5cuXmTlzprRVQ3lwK3OpLJRFnygLQ4cO5dlnn2XUqFE89dRTpKWlkZSURN++ffHx8ZEiIz///DNt27Ytcv2d7sNbe7JAq1at6NWrF1999ZV0zM/Pj6SkJD766COGDBlC3bp1mT59OsOHD5fOqV69Op9++inTp09nzJgx+Pr60rVrV2mlU2H69u2LTqdj+fLlLF26lICAAOn8khST4qhSpQqrVq3iww8/ZMKECahUKlq2bOmys/aECRMwGo1MmTIFsK9gSklJYcqUKRw4cICePXtSt25dli5dyvTp0xk5ciS1a9fmrbfectk24WbRaDQsWbKEd955h/Hjx+Pr68vgwYNZvnx5icpQ165dSUpKYt68eaxbt46qVavy6quv0rdvX+BGHy5dupQvvviCkJAQXnjhBZcl10OHDuXatWvMmjULtVpNjx49GDJkCJ9++ulNtWHIkCG8/fbbDBo0iA0bNjBx4kS8vLxYsGAB6enphIeH8+qrr5b7Zozjxo0jMDCQNWvWsHjxYuk+zn1+wL5dRlBQEMnJyVgsFp588klCQ0NdXjIfffQRs2fPZtGiRVJ9x44dy8CBA93eNzo6mhUrVpCUlMSoUaPw8PCgadOmTJ8+XQq/ONu6aNEiVq1aRZs2bRg6dKi0hYg7Bg8ezLVr10hJScFkMlGrVi3eeustvvvuO8lD+fjjj5Obm8uqVatYvnw5vr6+dOnSpdjtXsraT6+99homk4m3334bHx8faeVrwU+3FH7OYE8gf/jhh3n99ddRKBR0797dJWm9d+/enDlzhk8//ZSlSxu6yUkAACAASURBVJfywAMP8Prrr7vswP7000+zefNmhgwZwvTp06UE55ttQ2nUrl2badOmkZKSwuDBg6lcuTIJCQn06tWLd999lytXrriEz8DuMXd6sZxzqzDh4eFs2rSJxMRE5s2bx9y5c/n666/x8fGhTZs2vPLKKyXm2jjH08yZMxk9ejSenp4kJCQwbty4IvmM5ckTTzzB2bNnWb16tdSnAwcO5NSpUy4emxEjRpCUlMS+ffvYsWNHmdo5evRodDodq1atQq/X89BDD/HUU09JSfQl4e494+Pjw6pVq5g+fTqTJk3CbDZL20w4E/4jIyNZsGABH374IcOGDaNWrVq89tprvPHGG5Jnuaxy/rHHHmPhwoX88ccfLFiwwG09u3fvzoYNG4p8pq5q1ap89tlnfPjhh4wbNw6FQkGjRo1YtmyZS26y0Wjk6aeflv728PCgZs2ajB8/Xlrxeis493qbO3cuw4YNIyAggG7dujFmzJgyefnKwq3MpbJQFn2iLDRp0oQlS5Ywa9Yshg8fTqVKlejXrx9Dhw4F7M6ddu3a8d577/HUU08xYMAAl+vvdB8qRPnLpHcNJ0+e5MKFCy75Fbm5ubRu3Zpx48bd1EtGRuafZMKECfzxxx+sX7++oqsiI8OOHTvw9vZ2Wc29fft2Bg4cyDfffHNT2/LIyNxJbtkTJlP+5OTkMGzYMIYOHUqbNm3Izc2VvGDOLSVkZGRkZErm4MGDLFmyhFdffZXatWtz8eJF5syZQ/PmzWUFTOauQlbC7iLi4+P58MMPWbp0KStWrECj0RAfH8+qVatueYmtjIyMzP3G4MGDMZvNLFq0iCtXruDv78+DDz5YYqheRqYikMORMjIyMjIyMjIVwC1tUSEjIyMjIyMjI3N7yEqYjIyMjIyMjEwFICthMjIyMjIyMjIVgKyEycjIyMjIyMhUALISJiMjIyMjIyNTAchKmMxtExUVRVRUlNtvXH7++edERUUxa9Ysl+MHDx5k6NChtGzZkmbNmtGvXz+XHbR3795NVFQUnTp1cnvPMWPGEBUVxY4dO1yOf/vttzz99NPExcXRrl07/vvf//L333+XQytlZGTuVvr06ePyGaCCbNmyhejoaJYuXVpun+qRkSkvZCVMplzQaDRs2rSpyPFffvmlyOelfv75Z/r160edOnVYsWIFa9eupWnTpgwcOJBt27a5nHvt2jVOnDjhcsxsNrN9+/Yi95o2bRqTJ0+mZ8+erFu3jvnz52MwGOjTp0+5fjBcRkbm7qJ79+5s3boVk8lU5Lfvv/+edu3aERAQUAE1k5EpGVkJkykX4uPjiyhhubm5HDhwgIYNG7ocmzhxIkOHDuWVV16hfv36REZGMmbMGHr06MEHH3xAwa3r4uPj2bhxo0u5u3btKvIh3X379rFs2TJSUlJ45plnqFWrFjExMcyZMwdvb+9iv/kmIyNz79O1a1csFgu//vqry3Gz2cymTZukD3vLyNxtyEqYTLmQmJjI/v37ycnJkY5t3bqV+Ph4l4+Pb9q0idzcXJ577rkiZYwePZqZM2e6eM4SExPZvHmzy3m//PILDzzwgMux//3vf8TGxtK8eXOX41qtltmzZ0sfa5WRkfn3ERgYSLt27fjxxx9djm/btg1BEOjcuXMF1UxGpmRkJUymXIiMjCQ8PNwlnLhx48YiytKJEyeIiIjAx8enSBlhYWFFvuvWuXNnjh49ytWrVwEQRZHNmze7LTcmJsZt3erXr0+VKlVuqV0yMjL3Bt26dWPLli2YzWbp2A8//MBDDz2ETqerwJrJyBSPrITJlBudO3eWQpIWi4Xt27eTmJjock5OTo5bBaw4QkNDadiwIVu2bAHg8OHD+Pv7U6tWrdsqV0ZG5t9FYmIiNptNWqxjMpnYtGkT3bt3r+CaycgUj6yEyZQbiYmJ/Prrr1itVnbt2kWdOnWKfHg8MDAQvV5/0+U6lTt3ochbLVdGRubfg6enJ4mJiWzYsAGwp0N4e3vTqlWrCq6ZjEzxyEqYTLnRtGlTVCoV+/fvZ+PGjTz44INFzomJieHMmTMuuWNOjh07xtChQ8nIyHA5npiYyM6dO8nPzy+23OjoaA4fPuy2Xl988QXvvPPOLbZKRkbmXqF79+5s2rQJq9XK999/zyOPPIJKparoasnIFIushMmUG0qlko4dO7Jp0ya3eVsAbdu2JSAggBUrVhT5bcWKFZw5c4agoCCX41FRUVSqVInVq1djNBpp1KhRkWt79OjB0aNH2bNnj8txo9HIkiVLsFgst9k6GRmZu522bduiVCrZuXMnW7dulVdFytz1qCu6AjL/LhITExk/fjzVq1enevXqRX738vJi4sSJjBs3DrPZTI8ePbBaraxdu5b169ezePHiYstNTk6mV69ebn+PjY2lT58+jBgxgnHjxtGyZUuuXr3KnDlzMBgMjBw5slzbKSMjc/ehVqt5+OGHmTFjBqGhoURHR1d0lWRkSkRWwmTKlbZt22Kz2dx6wZw88sgj+Pn5sXDhQlavXo0gCDRq1IgVK1YQHx/v9prExERWrFhRYrlvvvkmERERrFy5kilTpkj5IFOnTiU0NPS22yYjI3P30717d1atWsWoUaMquioyMqWiEAvujCkjIyMjIyMjI/OPIOeEycjIyMjIyMhUALISJiMjIyMjIyNTAchKmIyMzB1n7J5vWX/+mMuxDw5vpM36OXT/eQl6s7GCaiYjI3Mv8W+TJbISJiMjc8cQRIHnt33O/84dcTl+MS+b7VfOsKPbKJ6q3YSFJ3dWUA1lZGTuBf6tskRWwmRkZO4YgijyTEQc/eu4rnrdd/087UJrA/BA1br8duVsBdRORkbmXuHfKkvuyy0qoqKiKroKMjL/SkaMGOGyJ5taqaJrtfrsvnbO5Ty9xYSP2gMAb7WWPKvpH61neSHLEhmZO8P9IkvuSyUM4OTJkxVdhdtCFEXybRb0ZiNX8nP49cppXt33fxhtVukcnUrN3NZP8Gi1hgR4eKJRyp/vkCk/oqKibnke+Wo8uGjIAiDXasJXoyvPqv2j3OuyxGyzct2Yx995meRazKgUShac2MH6C8dQoEBE5NFqDRka1RoBEW+NlnAvfyrrfPBUayq6+jL/Au5nWXLfKmH3GoIokGc1k2XK52p+HnqLEZsooESBp1pDak46FsHmco1FsPHThZOEevqhUSjx1XgQ7u1PsIe3LDxlKpRmwdVYdHInE2IT2XQ5lZaVa1R0le4rrIKNdFMef+dmobcYUaDAW+1BoIcX+6+f55u//8AiCtL5688fpWt4FI2Dw7GJAqn6dP7UX8NDqSbcy59QTx+8NR4V2CKZ+5V7XZbISthdilWwkWsxk24ycM2Yg8FqRhRBqVDipdbgp7Vr+1nmfFKO/8YXZw/hbtvd//39B+svHKdtSC06hEXSOLAqWrUKD6Waql5+hHj64KP2QKFQ/MMtlLkf2Zp2imNZV3ipfhvah0bQdn0y3motazv1r+iq/euxCQJZ5nzO52WRbswDwFvjQYDWCwCrIPDd30eZc+xXFwUMwCTY+O/eb+kaXp+EsEiaBoejVqoQRJHzeVmczklHo1RR1cuPUE9ffDWyTJG5s/xbZMl9uWP+7bg+7xQmm5Ucs5HrpjyuG/MwCVZEETRKFZ5qDSqF6xoKo9XC6jMHWJG6j2pe/oxs2J6taaf47vxR6Zxu1RsyumEH9l4/z5a0VLalncZgNdOyck0SwiJoFlwdL0fZIZ7eVPXyx0+jQ6WU12vIlM7dOI/+ae72PhBEAb3ZxPm8LK4ZcxEQ8VJp8VDdsL9tosDPF//k4z93oTcbeTC8HuvPHyuS2tAnoimnc9LZefUcGqWStqG1SQiLpHVILbzVWkRRxGCzYLZZUSmUhHr62GWK1gOlQpYpMsVzt8+jO4nsCasACuZzXTPmkmHKx+oIJXqoNOhUGjzVWrfXWgWB/7twjI9P7kKlUPJqTGceCo9CqVAQE1iF9qG1USmVVPP2J1Tni95iJDowjJaVazAhJpHDGZfYnJbKxyd3M9W0kSZB4XSqUodWlWpy2ZCDUgEBWi/Cvf0I1HqhVclDREbmXkIURXIsJi4asrls0COIIp4qDf5aT5fzBFFky+VUFp7cyTVjLs9GNuOZiDi81VoUKPju/FEpJ6xH9UYMrd8GsBuAe67/zda0U0w/spk8q5kWlaqTEBZJu9AIKum8Acgw5XPJoEelUFJJ50VVL38CtJ6ykScjUwDZE/YPYBFs5FnMZJoNXDfmkWs1IwgiCkCn1rhYpcUhiiLbr5wh5fh2MkwGBtRrQa+asZKSlGM24qnWEBcc7qI4WQQbGaY8zudmk23JB9EeglArlBzPvsqWy6lsvpzKubxMGgWE0jGsDu1CaxOs8wZRxEujpZqXP8E6b7yKUQxl7k/uZ+vVyd3UB7kWE1fyc7iQl41FsOGhUruds6Iosv3qGRad2Mn5vCyeiYijT0RTKcUB7OkQO66eI8tsoJKHNw0CQtCptEVySW2iwOGMy2xNO8XWtFNcMmQTHViFhLBIEsIiqekTCIDRZiXfZkaJ3cir7h1AoIcnanmx0L+W366cIVV/nbp+lWkTWqvEc++mefRPIyth5YxNEDDYzOjNJq4bc8kyG7GKAqIoolGq0Kk0qG/SEjySeZnkY9s5nnWF/zj2SfEpkASbZc6nks6b6ICwEq1Mq2Aj05TP37lZZFkMkkKmUao4k5PBljS7QnYi+yoRvsF0DIukQ1gEVT39QSGiUagceWRyzse/mV/TTnM6J71U4Xk/C04nFd0H+VYLafl6LuRlY7JZ0ShVdk+Wm7kpiiJ7rv/NwhM7+Ut/nd61G9M/Mp4AD1cPmd5sRKVQ0CQ4HD+tTgppXs7XcyU/B5sooFIo8VZ7oCxwH1EUOZWTLilkJ7KvUtsniASHHGkYEIZSocBss9pzXBXgr9FR3TuAIA/Z6/5vQBAFrILAy7u/YWXqPrsnVSHyQt0WzGnVs9jrKnoeVSSyEnYbOMOKuRYT1415ZJgMjlwuEaVChadKfVuC5VxuBvOO72DblVN0q96IQfVaEeLp43L/DJOBCN9gIv2Cb0opcipk5/OyyDQZELHvsaJVqbls0LM17RSbL6dyKOMSoZ6+dKwSSUJoJJF+wYiiiEKhoLLOh3Bvf/zlPLK7FpsgYBUFrILN8a+AWbBistkwCVbMNitGmxWzYMMmCiQd/ZUfL5xApVCAQsELdZsXKzzvZ8Hp5J/sA4tgw2A1k2U2kmHKI9th4KlQ4qNxVYgK83v6BRae2MkfWWn0rBnD83WaS2FDJ1ZBINuSTw3vQOr6VXI7p0VRJM9q5poxl0sGPflWC0oUeGu0RbxaaQY9266cZmvaKX5Pv0Cg1osOYREkhEUSX6k6GqUKq2Ajz2pGEEV8Cmx9oZNXb1c4NkHAJgqS3LCKAhabDaNgxWSzYrJZJDliEwVsoogoivyRmcZr+123S/JWa/nxocHFGnX3syy5Z5Ww/357lM51KtG+dhDPfLqfHJOVHo3CGN+pTqnX3uoDN9ms5FnNZBjzSDcZJOGhAHQqe1ixPLxD1415LP5zF9/8fZS2IbUY1qAtEb7BLudYHSudYgOrUMXb77bu51TILhiyyDC6KmQZJgPb0k6zNS2VPdfP46v2ICEsgo5V6hAdWAWraEMh3sgjky3aO4MoinaBKLgKRZPNikmwYrJaMAk2zIINs82KDQGbICIiIoiQZzGRac4n22wk22Ikx2xEbzGRbXEcMxu5ZMjmgiHb5b4lCc/7WXA6uVN9UNCjnm7KJctkxCLYEAG1UolOpSnTvn9/ZF5m4Ymd7Eu/QI/qDRlQryWhnr5Fzsu1GBGBxoFVCdR5lbmeJpuVdGMeFw3Z6C1GQIFOpUFXSAbozUZ+u3qGrWmn2Xn1LEqFgjYhtUgIi6RNSC18NB7YRIE8ixmbKKBTqanmHUCIp4+cBlEOFGeMGW12hcrsUKZMNisCokN2CPYV9woQRfs7R28xkmsxkW0xoTfnk22xy45Mcz6ZJgOZ5nwu5GWRac53ub+PWsucVj15rm5zt/W7n2XJPfe2FASRAWsOsu10Op3rVGL+zrM8F1+dp5tU5ZHFu+nXrBpV/Mpns7Zscz5ZZiPXC+zLBaBVqdGp1EUSXW+XPKuZVaf2s+rU79Txq8T81r1oEhxe5DyzzYrBZqZl5eoEeJRdYBaHWqmisqcPlT19sAkCmSYDFwzZZJjyUCjg4Wr1ebxmNLkWEzuunmXz5VQm7Ps/VAoFbUNr0ymsDvGVqpOdlY8g2jdzrOrlT2U5j8wtgsNqtCtSNkmhMlotDqXKZheMglX6zSYK4BCIgiCSYzWRZcpHbzGhtxjJMZvIthodClW+i1DMNudjc9haGqWKQK0ngVpPAjw8CdR6EezhTR3fYCppVFzN12MuYJcpgL/010rN6ZC5dQRRwGB1eNRNeWSZ8jEJVhBBoVDiqVLf9B5cJ7OvsvDkTnZcOcvD1erzZafnCPf2L3KeTRTIMuUT7u1PlH/lm87R8lCpqertT1Vvf6yCTVLmrxnzEEQBrUqDl8q+pc7D1RrwcLUGmGxW9l4/z9a0U8z8YyuTLBuIdyT2dwiLoLLOB0EUOZubQar+OlqlinBvf3k7HUo2xow2K2abRZIfFsHmYozZZ7OIKIJCoUAQRHKtJvQWEzkO4yzbYpTkxo1/88k0G8ix3NiJ3ketJdDDyy5LHP9G+lUiSOtJltnAytT9mAtscyICdf0q/+P9dS9w7ylhosgzceHUCrIrH3v+zuK5+OooFAo6RASz61wmPWOq3PZ9jFYLu66ew0OlxlOlcUlaLW8sgo11546w5M/d+Gl0TIrrQsewSLfCJs9qT25tE1L7jmy4qlIqqeTpQyU3CpkAJIRF8lB4FEablb3X/mZLWipTDm/EZLPQsnJNOlWpQ+uQWpzWp/NX9jW0ShVhXn6E/UvzyGwFlKTSXPaCKGAVRQRBAIXCoVTZlbEcs5kcq7GAUmVXqLIsN4RgpimfLIc3S8CuKHkoVQRovQj0cCpWXlTW+VDPrzIBHp4Eab0cypYnAVpPt/lCJmMW5uxTHBQ82VDIL260CrLwLEecKQx5FjPppjwyTPkYbWYERJSiEg91yaujS+N0TjqLTu5iy+VUHqhal9Ud+1HLN8jtubkWEzZRoFmlavaFOLeJWqkiWOdNsM5bWqF5JT+HywY9FtGGAiU+Gvv2GO1Ca9MutDa2WIE/MtPYmnaKz07/zrQjm2gUEOpI7K9DLUdi/4W8bM7mZqBSKAnz9KWKlx9+Gt09LU9EUSygSLkaY+YCMqSgMSaIN7xTiCAqQOHYPxLAYDVLMiTL7Co7nIpVljmfDJMBvcP7CeCl0tiVKYdhFujhSU2fQJpow6VjQR6eBGi9CNDq3EY7RFHEmn8dfXoqW206TmGwH0dJhDJCNuSK4Z5TwtQqJV3rh7DrXCYAeqMVH629Gd5aFblmq8v5ycnJpKSk3PR9RECtUJX7JxAOZVzifF4WNbwDiAmswi+X/2L+8d/It1kYEtWaHjWii03c11uM+Ki1NAkO/0c+QVRYIctyuJrTTQYERFpUrkH7sAheEwQOZFxky+VU5p/YwfuHfqZZcHU6VomkQ2gEafk5/J2bgVKhpLLOmyqefgTcZSujCluYNjcue6eXylzAZS9ww0PldCAJjryZbLPTU2V33WeZjWSanUIwnyyHcCwoDHUqtSQEnYpTFS8/GgSESkLwhhfLE0+Vxu2LqHA7BFHA4vBU2PU/EaVghZzzqC05+Hj4oc7zw1/vSZaPAVFUICgUkB0G+bcX7v63cKuyxCLYOJeTQbrJgMFqQRBFUICHUo2HSo2H6ta82QVlSYDWk8V/7uaniyfpEBbBpwnPUsevktvrBFEky2wgxNOXhgGhd0SWKBQK/LQ6/LQ66vpXxmA1S2HLHLMRFAq8VBq0KjWNg6rSOKgqIxu040xuBlvTTrEl7RTzTuyghncgCY48sujAKiiAa45yFCgI8fQh3Msff62uQvciE9x4pywFQnxGwYLZKjjyp2xujTG7EAGlQoFKqUSJgnyHUpVpzpeUp8L/ZprzyXIYaDeMMzVBHp4u3qqqXn5EB4ZJnnDnbwEeXkXCxwUpLBsNNgsGmwWHSw0QUViNCPpzmPLz2H/Jiua8H+EqHWptPlfyqnPKWpUdZzNoU8u9QXA/c88pYYXx9bArXr46NblmGzUDXQXayJEjXT4CChX30d0Pj2yW9t6xiQLeai0mm5V+deLpE9G0RM9WpimPKl7+NAgIqRBho1IqJSvXqZBdNGRx3WhAEEViAqvQvFJ1xkZ35HjWFTanpfL56QNMP7KZ6MAwOoXVoWOVOnioNFw1XkaB/Ztf1bz9CfLwLtM2HWWlsIVpE0QXl73JZpGE4w0L0y68nP/vVKiUCiWCKJBjMZFjceRRmR1WpjmfLJOBDIcQtAtKA/oCbnvJwiygOIV7+RMdWKVAWNBL+u/iEpIlQSiKWAUbNlGUrGQFCmmxhEqpQK1QoVNq8NFo7V4Vlf1lr1Gq0ChVqBBAfx5rziUUfj5YCeL4tRyMOVDtajAh2WrSVN5kGkPxsAXx17U8WXhy67Ikx2Lir5x0gj28ys2j7pQliGAR7eOhTUgtlrZ/hoYBocVeZ7CasQg2GgdVJcRNbtidwkutxctHS3WfQMw2K5lmA5cMejJMBkQRh/dPQ4RvMBG+wbxQtwVX83PZduWUw0t2AH+tjg6hNxL7PVRqsk1G0gw5KBQQ7OFNNS//2zbw3OVPWQSbXXa4WcxS2BgDHILEPh9VCiUqhV2pMtusZDlCfjcUKbvccMqRDLNBkidSCoxSRYDWk6ACilOIzod6/pUlb3eQ9oYnqyxREmuBdmbb7J56pz2ncDRErVQ6VvWr8dN44KnW4qnSoFXZZYlasCJkp4LlKte0fpw1eOJjy0JtVuMvqvE1iqSbfRE0yHKkGO55JaxZ9QC2nErnmSZV2XYqnefiq1V0ldxyKOMS350/6rJixGYx8WHzbrQLjSj2OkEUyTQbqOdXudiwwj9NQYVMEAWyzUYu5GU58kBEIv0q0SgwjOH123I6N4Mtl1P56eJJko9vp45vJTpWiaRjWB28VBqOZ15FQMRTrXGsjPJ2yX9xZ2FaHQLRbLPaXfZWWxELU6GwbzJZ2GWvUirt4T9JocqX3PZZZlcBmOVw3+dazVJ9nLkQAQXyqmr5BBIYZHfb2497Sf9dknJZ2MI0ClbyTRa3glCtsH9qylejRqd2KlYa1AqlQ7myC/qSwjOiKGLLu4Il84T9OeqCyDVZOHZVjyiK7P47E5sg4mvUoLf6kyn4I2qhbuXbD1Xd72gcL+LywJ0s0SpVDKjbolgFTBBFss35BHl4ER0YVqGLZ7QqNaGefoR6+mET7AbOJUM2V425WEUbGoV9f7MQTx+erNWYJ2s1JsdiZMfVs2xNO8XE339AFEVahdSioyOx30+rw2C1cDDjEgoF+Gs8qebtT6CHl4tRZnMaYw5lqqB3u3D+lAK7s0fEbuCoHc9Q5fBUeSjV5Nss5FiMRUJ+zn8LypNMc770fV+VQunwbHu6KFGRvsEFQn92pau4NAJ3OOVJntUsrW7E0RqnB9wpTwoaal5quzzRKJVoFCr7OSUosqJgw5pzHktWKqLSg/MGHVdzTNgEgQ0nryEUSmsQkeVIcdzzStjwNrXo+9kBkradpkejUML9yzdZvrw4n5cleVucaJUqsszGYq+xCjb0FiNxQVWp/A9arTeDUqF05BJ4FVDIsrluzMMm2gj39GNgvZYMrNeSi4Zstl4+xea0VJb8uZuqXv50DIukU5U6NAwI42xuBt+c+4M0Yw7VvQNo4B+KgCApI6IzqbSQhWkRbOjNRrIsRrKc7vkCLvtMF09VPnkFlCo/x7fzCnqqInyDJeF3IyxYfC5EQZwC3+awnvNtFruXCiTFUIkSlVIhWZi+Gg881RqHhakusyC8GQSTHnP6UUSLAYWHPwqFkut5JlKv55FvEZiz/TQAbWsHcfT8ZXQKFd6iigHNq8vW612EKIp8X+iTQmB/qf+dl0VsUNUi1xitFvJtFhoFhN32SuryRqVUEuBhn3sNHGH8q/m5XDLY9z1TOLa/8NXo6BJeny7h9THbrOxPv8CWtFPMPraNdw7+RLPgatL2F6GevlgEG2vPHOJiXjbVvP1pFBgqKQZKhyKldhhlKoVSysEzWi0OhcngNp+qYKJ6psmAyaFUKVFI8iPQw4sgh7eqhk+gS+gv0MOuYN3MAgNBFO1J9qLo8Ozbg45Khd0D7uxHtUKJh0qNr1aLp9KeV6hzeMCdHi11KYZaWbAarmLJOI4oCAgaf/66lofBYuO6wUzStjNU89cRVdmbnWez0CoVeGlU9JblSLHcs0rYpC43wgD/92LLCqxJ6YiiyPGsNMyOCSsdR6SGd4Dba5xhs1YhNcs9L+1O4U4hu2jI5lp+HjZRIFjrRZ/IpvSJbEq6KY9taafZcjmVNWcO4q/V4a/x5IIhC5VCgSBCu9DaPFq9oZQ7VTCxNLOA9yrfZgHskQA/jc7hhbqhWEX5hbgkpztd9gFaXZmUHKGAxyrXYsIqCIgK0ZHGYf+wiwIlaodi5aFS46nVOUKBdte92qFYaZSqf3RPNdFqwpz5JzZDGkqNH0pdIKIoci7TQJrexEV9Pim/nqV+qA+DW9VEp1FxrLqWLGUVmkTFyILzLuJcbgbTjmzmSMYl1AolVpfVZ0VliSiKZJnz8dfqaFap2l2/95ZCocBH44GPxoMIv2CMVgsZJgMXDdlkme1hSy+1PbG/dUgtWofU4tWYzhzNsif2f3n2EB/9sYX6/iGoFEpS9dcc6QQi7UMj6F6j4Q054lCiCitXBWWJv5Q7dcO7XdXL3+Vv579+Gl2J+7QVRnQqVgW8/KJCRAmIjqx7pUKJxuHp9lJrHKFANZ5q4OMhBgAAIABJREFULRqH0uVMMfgnFigI5ly7IWfOQaH1x6KAY2k5iMCRtBw+3vk3HesG0ycuHJVSQbvawVy8doXYmCYkNqp3x+t3r3LP7hN2O5RlT5J8q4UdV84W2U36ZrEKNj48spkNF0/SNLga+9LPu3yP7ZWYTkWuybOYUCtVNA0Ov+sFZ1lw7rh90ZDFlfxcBFGUckAAcixGPjt1gGWpe4p4C33VWirpfFwUK0mJclqeDmXLX+NZ5q8RCAVyq5x5Y6LC4bFyPB+lQolaYVesPB37wDkFoVP4Oa3Lu22z2oLhAoVKh1Jjz5W0CQJ/Xc8jx2Rl97lMPv39It0bhvJ4jHM3cxsWYy6NIhoSEFLynnv3894+TsrSBxkmA79fv0DgLW4nY7JZWZG6lxWp+2gfWpsxjRL4JHVfkW87FpQlRseu9A0CQgj38r+nVxGCXY5mmfK5nK+356EioFGq8Sq0MOVsTgarzxxg3bkjFH6xeak0VNb5FMmfCvTwLOKt8tfqbjp8bE8vEF3yyRyue4nCXnBPx7eCvdQaF5miUSrvmo+eizYz5qxUbLmXUGp8UKi06I0WTlzNRatWsP7YFdYfu0q/+Gp0rmNfDGITRHJNViJ8rVSt3RKVLrDEe9zPsuSe9YTdC+RYjLy273vO5mawqO1T1POvzOGMS/ztWNHkLnSQbc4n0MOTmMAqd9XqwdtBqSgQcghwr5CFe/tLORZOPFUaxkR3pFv1hmW6j00UMNus0qpAp9vesYAHhUKBQqFAo1CiVakl61Ln2PdNq1RLbvu7SQjeLFbDNSwZxxAFAaVHoPSSMlltHL+Sg9km8OXhy/x2JpNhbWrRvIbdg2Iw2VCrITrMFy+Pe1/5/zew+9o5ph/ZjFUQmBbfjXahtQEYF9OJLuFRRWSJKIpkO1ZRtwu9M9vYVARqpUpaqS2IArkWM2n5OaQZ9JgFm/0zShottXyDiA6swg8XThSRJa/EdCqzLClI4X257GkRojNrrMiCGF+N1iVvU1NBXvDbRRQFrPoLWLL/QqHUotLZveJXc4yczjCgUSlZuPMcJ67kMr5TJA1C7SkzZpsNk1UkOswXT3Irsgn3BPesEpa+dRye1TuirdyYaz8NRLSZ0VaKplLn5IquGgAXDdn8d/c3eKjULG//H+kTIbFBVd0qX6IjAb+GdyD1/Cvf85ZrcRRUyBoGiOgtRi7mZROk9XQkxN5ARCTcyx+TzSoJQinRVIG0KtCZD6FVqR37EGkkt73dZa+U8iLuVcWqLAjmXMwZxxFN2Si0/ig1N5R4p+Vqtgks2HmW9FwLbz1Ulxr/z957x8dVXvn/7+lFM6PerWLLttwNxrjRIfQ00iAhpGdT2d1swoZ8l2TDL8km2TQCmECAkEZIsmmU9ELANsbGvUiWLcm2bKtrNH3m1uf3x0hyt0bSSLak5/165fWKPHPn3ivmHp3zPJ/zOQPdxNGUTp7HweyiHNDi5+kOJIP0puI80PAyf28/wLvrlvHBOStPWxU/NZaohk5UV6jPLaE6J29Kx5BB+4u5A/YXPak47QP2F/lniSUnbtcOroSfqWA7Na4M6qy81nRy5T5hJdw+8J6p9rvWk31ofXsRpo7Vmf4uCSFoC6VlDLpp8o1/tqAbgi/eWE+JP91MlVB07HYLF5UHcNptGMowJ5JMviRMCJPev3yI1LH1eKquJrztAfJW3Iun6hp6/vx+lM4tuMqWn9dr3BVs557XnmdpQQX3X3zTsNWoIdKWDwvySplxFo3YVMRisZDr9JDr9DA/r5S9oU5+2rJtyCbilhnzWVpQfnzZfsDI8kQ9xFRPrDJhaLsgegyr04fVfbKOqzuaoqUvQSip8uC6QxT6HHzxprkE3A5MUxBJ6dTkeykPpMXC5lnOIxl/DGHy28O7eaRxA3WBIn561Z3UnTKy7EyE1SRum4PLSmpH7K4/2fHandT4nNQM2F8sKihjY/chnjuyd+g9N1XOo9qXR0RLDa2E59iPr1gN6qwG5QUTpbO60DC1BGpfI6YSxOrMxepIpwgnyhi6YirfXdfKzAIvH1tTi9eZLvZOLORGoo+b7ky6JAxhklN/O/ZALQB5K/8fVmdg4CUdbOd3+f3Px/bxpR1/5faZF/GJ+ZcP+2XUTIOYprC8cAYFWXCtnqxYLBYeveztvGf2pRyI9DAnUCwdlodBCBM9dgytfz8WiwOb5+Q/1uaAAL87qrC/J8b3X23jspn53HXJDOw2K5phktRM5pf6yPNM3/FSF8qqelO4m6/t+jtH42E+tfAqbq1akFH8iGgpZvuLqPXnT/uCZND+4plr7mJ9Zyt7Q53MDhRxeemsSS0xGG+EoaGFW9CjR7Havdjcx2OJqhs0dkcxTNjZHubJTUe4vr6Y25dWYLVaMIUgmtKpyvNQEZjcUwzOB5MuCbNY7Xhrb0Tp2AQwtE8db/4tQovjKl56Xq5LCMGTBzbxg/2b+eySa3lT9aJhj0nqGoYwWV1SM+2q17OxprRWJl8ZoCeD6H17MU1taLvgpNdNk6buGDHN4G8Henm+oYt3L6vkurnpEURJ1cBigaXlftyOk8OA2rsHpWsr7opVuCtWT9g9TTQXyqp6XFd5bN9G/u/QDm6ZsYDvrHhzRg1BcU0ZGoTtk/HjNC4vm8XlZWf3YJQMWOrEjqH37werfejv6SAxRaOxO4bDZuG5hk7+vK+H911axZV16SRNN0wSmkF9sY987/Qt5MbCpEvCzkS8+bdEtq+l9E2/Pe210Y4aGQmqofOVnX9jffdBvrvqNi4tqhr2mKim4LXZuaiw6rwaJ0omF6aWQAvuw1CCWB0BbI7TV0+Tmk5jVwzFMPnRa0do6j5ZOBtN6QTcduYU5ZwmFA5t+SaJ1hewDKwY+Ba+j6JrHhj/GzsfnOdVdSEEL3Y08+29L5Fjd7J29VtZVpiZ2XRcV3FYbVxaXDVlGngkE4ue6kfva8A0Umcs5AZ9BG1WC2s3HKKlN8G9181mbrEPgJRmYApYUh7A4zj9b5jSsxOtvwlMA2/tDRNyT5ORSf/XP3VsA+HtD1H2pmexOk83NB3vsUUhJck9W56nNxXnyctuz8jVvl9NUOL2sTCvbFJ1y0jOH8LU0UKt6JHDWB052Fxn/p6FkipNPXFiis7DGw4C8MWb6inxuYa2DSpy3VTlek4f5N2zk0Tr82AoQ7Lm2N4f4qu/fUquiI10VT2bBd2xRJhv7n6RLb1H+dDclbyrblnGMxwTuordYmW5TMAko8DUk2h9+zBSvVidudjsJ6+6CiE4Ek7SHk6h6CYPvNyKxWLh/pvmUpSTXnGNKQZeh5X6Et8ZbYFCW75JsvUFAKI7H53axdwYmfRJWP+mL2OmgnQ9exsA+Zd9GXfFqgk596FokP/Y/CyFrhyeuvyOjLYQomqKCk96BqTcO5cMR3rUUEe6orRYT9N9nUh7JEVbf4Kj4SRr1x+ivsTHR1anDVgNwySuGswpyqEw5/StK1NLEGt8mtPamSxWtNCBKZmEnYlzrapno6DTTIOftWzjif2bWF40g59fcxeV3tyMj0/qGlaLheVFM8Zl8LZk6iJMHT18CC1yCMspuq9BTCE40BMnomh0RBQeXN9KffHxOCIGCrkSv4uafO8ZNYtKz06SrS8gjOPTYKZyMTdWJm0Slr/6CwB4Z916Xs7/Wu8R7t3yApeVzOS+pa/LaEtRNw2sFgv1U9iCQpI9jFQIra8B00hideYObRGeiikErb1x+hIaW46ETjNgVXQDw4DFFQG8p2wbCFMn0foC0d2Pg8UOVgeY2olvwJE3Zzxv84JhuFX10bKp5zD/bG/BarHwq8O7iGop7r/4Rq4pnz2iOJDSNQSCFUXVUsIgyZh0IdeJFtwHVutpuq9BVCMtwNd12Ho0zA9fO8Kt80t4y5JyrBbLcQPWAi8l/rNPcdGjRxDilB7raVbMjQT5JI+C59r28rVdf+cDc1fwwTkrMw6kYTXFiuIquQUpOSemnkLrb8JIdA9sF5zdbVozTJq6o8Q1g9/s7mD9wX4+tqaGFdXpYwa3DRaW+nDYjn/vhBAoHRuJbH8IU+nHv+hDeGe/mfC2B9LbCEOasPdPm8A5Hqvq//rqb/nB/s2opo4hBHP8RfzymveSYx+ZiDk14JW3sqRGJmCSjBmcGWvqiXMWcglVZ29XFKvVwu/2dPK3Az18eFX10Ngy1TBQdcHCUj9+99m1kkr3NmINPwVTPfmFaVTMjRT5NI8AUwge2beBn7du578vvoEbK+dlfGxETVHryydvlKNLJFMfYRoD2wUHsdg9Z9wuOJGEptPQGSWpGzy28TC9MY3PXz+HmgLvObcNtP79hLc/iNqzC1/9HfgWvAerMy22zVv+GdyVVyD01JTvjhxkvFbVN3Qd5KkDm09ybj+SCNES6T2jYfPZUAwd3TRYWVyNSyZgkgxIF3L7MRJd6QYe19kLub64woHeOFYLrF1/mLb+BPddP4dZhemmn6RqYLPC0gED1jOhhQ8S2bkWpX0j3tm3IYoXkzr81/SLFuu0KuZGinyiMySla/z39j+zPXiMtavfytIRBFHdNLBZLNQFisbxCiWTFSEERqIbLdgIcNbtghMJJlQO9MToS6g8NGDAev+AAathCqKKTt0p2wZGopvIrkdJHvoznpobKHn9L7HnlJ322c7ChdgDNThya7J3k9OQ5kjvwGib41iw0BYPZZyEqYaOYuisKqmZEnNkJeNLemZsG1qoBYvNfc5CTgjBsXCKo6Ekcc3gu+tacdlt3H9jPQU56ZXaqKKT63Iwu8h7xh0cI9FDdM8TJFpfwD3jSkpueQZ7oBoAddYbUPv34am6VnZHngOZhGVAbyrOpzc/R8rQeOryO6jMyVxIC+ltyFUlNXIbUnIaphpF7d2L0GJYXHln3S4Y5MTA2TRgwLqmNp/3LE8bsKa3DWBxmR/fwPxHU4sTa/gxsaaf4yxcRNENT+IsyHwVVzI6ZgeKThsifer4nHOhmQZJQ2N1Se2UmQEpGR+EEBjJHrS+RkAMW8iZQtDcG6c/qXI0kuTh9YdYWObnX1ZV47Tb0p3USZ0ZeR4qc083YDW1OLHGp4nv+xmO/LkUve5RnEWLT3qPs3gJtkAVrpJl2b7dKYVMws7Cxu5D/OVYE167k8eaNlLjy+fh1bfhd5xdkHgmIlp6GzLgHNlxkqmN0BXU0AGMeAdWh/+0UUNnwhSCA71xQkmVvzenDVjvXFbJdXOKsFgsJBQdh93K0gofTpstLbpveZbo7iewunIpuOx/cFWskU0hE8RlpTN5/5xLeWr/ZsyBdOyNVQszWgXTTIOErrKqpEYmYJJzYqox1L6BQs4RwDJM16xqGOzrjqHpJpvbQjy97RhvWlTGmxaWYrFY0Ac6qeeW+Cg4xYA1HVN+R3T3k1icfvLW3I+78koZU8aATMLOwL+++lue2r8ZXZiopsFMXwEPrHzTiD15dNPAbrHKbUjJEEKY6JEjaKFmLDbnsLqvQVTdoLEnSjxl8JNtR9nXFeOea+pYMGDAGknpFHoczCrKwQKkjr5MZOdaTCWCf8m/4J31BixW+bhPNA+uuo1bZsznxfZm5uWVZJSA6aZBXFdYVVyDd4QCfsn0QRgqav8BjHh7upA7h+5rkEEdqQX4v10dvNwaPKmRZ7CTeskpndRCCFJH/0lk5yMINYZ/8Yfx1r1RxpQsIH+Dp5AW075G4gQxbUcyQkOoa0RiWoCwlmJVsdyGlKTREz1owQaEaWB1ne5QfTbSo0PiRFIqazccRghx3IDVFEQUjdqCHMr9btS+RiI7HkTrayBn3rvwzX831jO46ksmjhXF1dgtVvIzaMrRTYOoprBKjjKTnIV0IXcULXRgRIVcf0KlqScGCB555TCdUYXPXz+H2oL09zKuGLjtFhZW+E/qpFZ6dhLZ8TB6/wFy5t+Jb967ZEzJIjIJO4W0mPZkRiqmhfQ25CxfodyGlGBqcdS+BkwljNWZi9WR+Yrq4OiQo+EUazccpL7Yx7+srsHjsKEaJinNZGGJH6/ZR/8rj5Js+xue2pvIX30/Nm/JON6VJNvopklUU1hRXCVnQUrOiJ7sQ+vbizD1jAs5IQQdEYW2UIKoqvPdl1vxOe3cf2M9eR5HupNaMSjKcTCzIGeok1qPHCay8xFSx9bjrXsjBZd/FZtH7upkG5mEncJYxbSQ1nM4LFZmZjDCSDJ1EYaGFm7BiB7F4sjJqOtx6FghaAsl6YwoZzRgTaoGVgssKbKgNX2f7qZf4ixeSvGNP8SRL/14JhuGMAmrSVYWVxNwDj95QzK9SBdyjZhKaESF3JCRc1LjcH+ChzccYlllHh9YWYXTZk2vpKd0ZhV6KR3opDaSfUT3PEmi5VncFZdRfPNPceTOHM/bm9bIJOwUhsS0BzZjCgCRsZh2kIiWYrXshpy2CGGix9rR+/eD1ZGR6P5EDNNMC/ATKr/d28X61iAfW13Dipq0biOq6OQ6oCL0F8Kv/gCrp4iCK76Oq3yVFMhOQgxhElKTrCiuIjeD0WeS6cNgIadHj2B1+EZUyA0aOad0k1cOBfn5jnbetricWxekR+aphomimSws8xNwOzC1BPGmZ4g1Po09dyaF167FVXLRON6dBGQSdkYeXHUbt1Uv5k9H92Usph0koqa3IUfaRSmZGujJIHqwEVNPjUj3NYiiGzR2RQmndJ7Y1EZPTB0yYDWFIJrQqFS24Gx+griWwH/RJ/DOvHXYjqjzhWYa3PXSz+hIRri4oJIHVr156LX7tv6RFzuayXW6+cU1d03LZ8YUgpCSZHnRDGnkLBni1EIuU93XIElNp6EzhkDw8x3tvHq4n3+9fCbLZqTtlQZX0pdWBHBaBfHm3xHd/TgWu4e8lffhrrrmgivopmoskUs1Z2FVSQ03VNaPKAHTTAOH1cqsgNyGnG6YehKlaxtq99aBoJk/4iAWSWnsbI9wLJLia39vRiC4/6a51BR40Q0TtXcPtfvvxb7rq3hrbqTk9f9HTt0bL9gEDODXh3ZxcWElL93yCWK6yuaeNgBCSpJ/dBxgw+vv5tYZ8/lpy7bzfKUTjykEQSXBsqJKCtxS6CxJoyeDKMc2oAWbsDhzRyyCDyVVdnVESBkGD6xrZW9HlM9fP3coAYspOjlOO4vK/IjODfT88U6iux7Fv/B9lNzyDJ7qay+4BAymbiyRK2FZJKKlWFNSi3UYw03J1EGYOlr4IHrkMBa7d8QV6yBd0RStfQn298R4fFMbq2uOG7BqkaPkHPwhnr71uGfdiv/KySOQ3dzTxttnLgXguoo5vNJ9iBXF1eQ63VTl5KGZBjFdHbEB8mTHFIKgGmdZYSVFbt/5vhzJBYCpJdCC+zBSfemZsaPoQOyIpjgcTBBKanx33UEKvA6+ODBJwxwYZVaR66ZUbyX04lq0YAM5896Jb/5dF3zH41SNJTIJyxIRNUWdv1B2NU0ThBAY8U604D6wWkek1TgRUwgO9yfojKT4R3Mfzzd08a5llbxuThFWPYp1/9MEOp7DVXYpuTf9GEdeXZbvZGzU19ef9PMnP/lJ7r777qGfI5qCz55+JnLsTmKaAhx3g1/4m/9FNQ22vPFTE3fR5xkxsAJ2UUElxR7/+b4cyXlGmDpaqBU92jbqQs4UgoPBOL1xjZa+OI++cpgVNXm8b3kVdpsVwzCJqQazPSGse5+k78g/8c68hfw1F04X9XSNJTIJywKaaeC02WQ35DTBVCKofXsx9QRWZ+6wo4bOhm6aNHXH6E9qPH2iAWuxC2fbr3Eeehqrp5SCq76Fp3xllu/izAhTRxhJLLbMTEKbmprO+brf4SKmp4NlTFMIDGg1/nSsiQKnl/1v+xx/PtbE57b8nscvf8fYLn4SIISgT4mzJL+CUq9MwKYz6UKuA62/CSyjL+QG40hCM1jX2sf/7ergjosquLG+GIvFgqIbmKkQs3t/hXrwd7jKVlB8049w5M3O8h2NjekaS2QSlgXkNuT0wNRTaP37MRJdWB0BbBk4VJ+NpKbT0BUjmFD53isDBqw3zqUisQn3xicRpopz0d2U1L9+QjRfwtQRagSLIwdn2Qrs7tHf24lcUjSDlzpbWF1Sy4sdzXxwbjqZ9Nmd5DjSiV6Zx090oKqdyggh6FPjLMovozwncL4vR3IeMZUwau9eTCM5pkIuNRBHNFPwzPZjbD0a4lNXzGRpZXpLLpGMk9vxLDlHf4nwV1F41QO4ypZn81YmjKkaS2QSNkYiapLZ/iK5DTmFEaaBHm1DC7VgsblHrfsaJJRUaeqJcySUYO2GQ9QX+/jEgji5+/4Ta/wQsRnvoOqiu8jxjr9WSAgTUw1jtTpxFF+EzVOYVVHuO2qX8p6Xn+GyFx5iSUE5iqnzvX2v8NH61fzq0C6u+sNarFj43pq3Ze2cFypBNc7CvDIqR+A5KJlapAu5JoxEd1r3ZR99sRNJqjT2xFF1g0c2HCKi6Hzxhnoqct0IU8ds+wtlR3+C3e7Av/yzeGpeN+pkb9SIU103R89UjSUWIbL4W5ok1NfXD7v0mdQ1Xuk6RN45fHtUQ0cAq0qq5SrYFEQIgZHsQetrBARW59hXL9ojaeHs1mMhfrr1GO+sF7zJ9hyO3ldIlN6MOusu5syowmkb39UvIQSmGsZiseHIn4stp2zEyVcmz9FUJ5PfQVBJ8HJnCxcXzqDGl50VRsnkQpgGevgQWuQgFrsHq31sfnBd0RQHgwn6EirfXXeQMr+LT14+E7/ThrV3M67mx3FqQQKLPkDOnLdmLC/IFsJQMbUoVlcBruLFw55/OscSuRI2BqKawmWlchtyKmKqMdS+vQgthsURGPOW4KBzdXdc4dm9Xew4eIQHZr9KVf9f0QsuofOiR8grns38E8aGjBemGgEEjvw52HMqLmiLi6mA02pjWeEMqmUCNu0QQmAkutGCjQCj1n0NMtjI0x1VaOqO8f1X27h8VgF3LavEEW/GtedxHOG9OGe/jcIl789K4TgShKljahGsDj/uspVYXXLbfTgmfRKW0gze/uMthJIaF8/I48E3L5qQ84bVJLMDRXLI7hRDGCpqfzNGvB2rw4d1DLqvQVTDYH93jL6Exg83t7Ak9XeeKPk7mBXElv4P/d5FzCw4PjZkvDDVGMLUcOTNwu6vwmKd9I//pMDncEm5wjTEVKOovXsRWhyLa/S6r0F002R/d4y4qvOPlj6e3dPJncsqub7KwN34dRxd/yRVci3FNz9DTu6MLN1FZpykKS25JGua0unApI/Cf2rqZkGpn6+/fgFv/9EWGruizC8d364j1dBx2xzU+uUXbaoghIkeOYoW2o/F5hpzxTpIQtVp6IrSGUny2ubf8mnX7wkEbCizP0m8+GpUAxYU+wi4HVk535kwtQTCSGH3V+HInTnhWxMSyXRC6Apq6ABGvDNdyGUhIVF0g71dUVTd4KfbjrGnI8q9lxezNPlrnBufQ8ldRHzFWmbNXIp9AsflCdNIJ192D46Si7G5Cy5Io9cLmUmfhC0s9bP+YBAhBAnNwOca/1uS25BTCz3Zh9a3F2EaWF0jd7o/G8GEyoGeGJ2HN5N/+Ene5+5Fn/VO4tVvIaHbsQNLyv247OOzHSj0FEJPYM0px5FXh9U+eUZ5SCSTjXQDz1G00IGsFnLRlEZjd4ykZvDwhkPoeooHFjdQ3PJLTHcJPfP/m/zqNczM80xYAnRyQ89ibJ5imXyNkkmbhPW9dA+eqquxe5ax8sCH+P13klzruoIZuQ+e9L6HHnqIhx9+OGvnDatJ5uYWy23IKYCpJVD7GjCVEFZnAKsjO4+DEIKj4SQd7QcwGx/jYmUHh3JfR+riD4Ern0hKI89jZ3ahd1yGvA+KYm3uIpwlSy94J+zJQrZjiWTqoCd60IINCNPMaiHXHU3RGkzQFVNZu76FW3L38Bbf77H2COKzP0ow/ypmFwcoypmYv0dCmJhKGIvNjrNgwagaeiQnM+m6I4Uw6f3Lh0gdW0/h1d/ht+v/QW5RHbfe/DHWPX4NHYu/ze2rl53zM0bbHakYOhbScyXlF2/yIgwNLdyCHj2K1e7FksUVIlMImtuPYjT9EF/XH9mmLsC+8CPMqp43NDakKs9DRcCd9e/QkCjWmYszv37cRbHTuaNpEPk7mN6Yagw12IhQwlicuVlrchFC0BZK0BFR2NsVZfPWv/Pxwj9RaOlDqX0nsbI3oOJkfokPn2v8pAwnXk+6m9p6Qjd19grI6fwcTb6VMGGSU3879kAtAJXqXvoL78JisRDNW4m9bwtw7iRsVKcVgpiucFlJrUzAJilCCPTYMfT+/WC1Z227YBBFSXB4+4/xHP4FR/RintDu5o1XXk+Jz4VmmCQ1k3klPvI82dVkpXUZYSmKHSWDq+ruysvp/sOdmGoUb90byFv+mfN9aZILFGGoqKFmjOgxrE4f1izGEsM0OdAbJ5zS2Nqwldrun/D5vBa0ijcTm/ku4qYXh93K0hLfhFjZCC0KwpTd1OPEpEvCLFY73tobUTo2ATArYPDvu/r57tYNvNEmeO/88dG9hNUk9bklchtykqKn+tH7GjCNFFZnXlYTaSFM+pt/T2z397GbFh6JvpVgYA0fuXoWHoeNpGaAgKXlftxZ2vIcPO9xXcYSqcsYISeuqnuqriay6zF8C+4iZ+476PrdG9Dn34k9p/x8X6bkAkIIEz12DK1/PxarE5tnbMbNp6LqBo3dUVLRTvq2P8abzFcJFl9ObOF9CE85kZROgcdBXdEEWNloUTAN7LmzsPtnyG7qcWLS/1Zd7gC/vHUe9pxyQpvX4fCe7EadDR2HYujkOJxUS6frSYepJ9H69mGk+rA6A9jGaJJ4KkrnFvq2fhcz3kGD7018uXkRN86v4N1LyrFaLMQUHZ/TzpzinKx1LZ24NeAsmJ/1rYFpwymr6krnZnwL0qvq7sorUDo2YZ/95vN7jZILBj0ZRO/bi2lqWS+ns9huAAAgAElEQVTkAGKKxr72TpyHfk5Zx7MkzVqOLvk2uWWLMIQgktCoKfBS7neNa7FlqlGEqeMI1GIPVGOxjf9253Rm0idhztJLSB15iZz620kdXYdvwV0nvX733XefNIkdTp/Wfi6EEMR1hctKZ8pVhkmEMPUBh+pDWOzerG89auGDRHY8RKpjM5HSW/mFeTd/aVH5l9XVrKzJxxSCcFKjPOCmOotdS6YaSW8N5M7G7q+UWwNj4NRVdVONYnWkR0VZHDmYWuyk90th/vTE1BJowcFCLhfbODS69ESidO/9P4qP/Iwu1cefHB/huitej9dlH5IyzC/NvpThREwtjjAV7L5qHLm10spmgpj0SVhg6cfo+dN7CW9/kJy6N2D3VWb188Nairm5JXjt8gs5GRBCYMQ70YL7wGLJevJlJPuI7nmCRMtzaMVrOLJwLY/tMeiOqnzh+jnUFHgxDJOYajCnKIfCLHUtmVocYSg4AjOx59bIrYFxwOrwYWoxrE4/QothDVSf9PpYCzrJ5CLdwHMQPdqG1e4d88zYM2GaBsf2/RGx7wncusL3QzfjrLmZty2dgdVqGZIyLCn348milOGkaxjwEbT5KnDm1mGxS8nNRDJpI3n+6i8M/f+yNz83LudQTJ1Cl1duQ04STCUyMGookRWH6pM+W08S3/cMscafYMuto2/JNzgkZvLIK4fJ9zq4/8a55HocKLqBYcCS8gBe59gfL1NPIvQkdv8MHLmzZHU6jgy3qi6ZHqQLuQ60/iaw2LJeyA2S7NxK79YHscTb2Oq8he90LuOulXVcNjOd7MUVHa/DxtwS37gYsJp6CoZ8BGeNeZ6lZHRM2iRsInBYbSwuKJfbkBc4QldQ+/djJDqxOgJZcage+mzTIHnoj0R2PYbF5sS17HMcsC+noTvGk5taWFWTx3uXV2G3WYkrBm67hYUVfhy2sQVNoacw9QQ2bymO0mUyQE4A472qLrnwSTfwNGIaSazO7BZyg2jhVkLb16J2vkqs5GYejX+IPZ02Pn3dLOYU5yAGrGzKAi6q8rxZF+CnY0scm7cER8lFWB3erH6+ZGTIJOwsOK02lhfNkNuQFzBph+ojaKFmLDZ31rcLUh2biOx4CCPRjX/hB4iV38q+fpUXD/TyXEMX77q4guvnFgMQSWoU+13U5o8taApDw9Qi2NyFuKXR6oQwEavqkgsbU0+iBZswkj1p3Zc9+zYvRqKH6J7HSbT+nmTBao4tXMu3XlOx2yzcf+NMCnNcGKYgqujUFXgpyfIs2eMmzoW4i5dgdfqy+vmS0SGTsLNgs1rJd8kK4UJFT3SjBRuz7lANoIWaiWx/GKV7Kzlz30HOgvfQFrdztC/JM9uPsa8rxj1Xz2JhWQDDFMQUnVljDJrC1DHVCFanH3fZynE3WpVIJKc28HjGR/elxYk1/pT4vp9Bbj2di75Bq1nD2nWHmFfq4yOra3DZbaiGgarDolI//izOkh0s7KyuPNzlq7A6x3e2smRkyCRMMqkw1RhqX0N6aKwzF6sje92BRqKH6O7vkzj4BzxV11Jy6y8QnjKaemIcDcd5bONhTCH44o31lPhdQ0Fz4RiC5okDcJ0ly7B7xkd/IpFIjjPUwNOfdmkfD92XMHUSzb8juudJLE4/xtL7OOpcxtaOCD/Z0srrF5Rw2+K0lU1CMbDb016CzizNkj25sFuB1ZWblc+VZBeZhEkmBePpUG1qCWL7nibe+DSOgnkUXf99nIULSWo6DR0RmnvTCdjsIi8fXVOLx2EjoejY7ZZRB83jM9gccgCuRDKBjGcDD6QTvNTRF4ns/B5Ci+Nb/GHaA9fRl9R5vrGbfx7o4yOra1hVk97yTM+SdTInSwaswtQRWhSL3SsLu0mATMIkFzTj6VAtTJ1E6wtEdz+OxeElb839uCuvxGKxEEqqNPXE2NwW4ultx7h1fglvGTBgHYtrddpoNYLFYsFZKI1WJZKJYjwbeAZRenYQ2f4wergF37w7cc65nf39Jv1xjac2H+FoOMV/XT+bWYU5mEIQSepU52dnluzxVXU3jqKl2DyFsrCbBMgkTHLBMl4O1UIIlI6NRLY/hKn041/0Qbyzb8NitSOEoD2SorUvxgsN3bzcGhyqWk1TEE5pVOePzrXa1AacqHNnD4wBkUarEsl4k27gaUMLtYxLAw+AFjlEdOf3SB1bj7fujRRc8XUUey67O6P0JVQe3nAIt93GF2+cS4HXiW6YJDSDeSU+8r1ja/5Kr6qHsNicOIoWYfOWyORrEiGTMMkFx5BDtRLE6ghk1aFa699PePuDqD278NXfgW/Be4a6hEwhaOmN0xZK8qMtR+iKqnz++jnUFniHXKsXlPgIjNC1etCJ2uGvxR6okWNAJJIJQk/0oPU1IET2G3jgZPNmd+XlFN/yNI5ALf0Jlab2CIeDCR7ZeJgl5QE+tKoKp81GSjMwRdpLcCwGrMfHl9lwFi7EllMqV9UnITIJk1xQGKkQStdWrHYPNlf2tAxGopvIrkdJHvoTnpobKHn9L04azqwaBvu7Y7QGE3zvFAPWpGpgtYx8APeg0ap0opZIJh4tfBCt/wBWVz7WLK86m1qC+L6fEdv3NPbcOgqvW4ur+CIA2iMpDgfjbD4S4pnt7dy2uIw3LCjFYrEQUwy8Ditzi32j9hIckjQAjvy52H0VMvmaxMgkTHLBoCd6ULt3YHXlZW2rLt0e/hNi+57BWbiQoht+gLNg3knvSag6DV1RdndGeHLTEVbV5PGe5VU4bFZiio7fZWdOUQ62DF2rhaFgarG0GaI0WpVIJhQhBFr/AYxoGzZPUXY/29RJtD6f1pHaveSt+jzuGddgsVgwhaC1N053XOHZPZ2sP9jPJy6rZXlVHkIIIkmNEr+LmlF6CQohEFoUEDhy6+Ts2CmCTMIkFwR67Bhq716s7oKsVHXC1Em0PEt09xNYXQEKLvsKrorLTtuO6Isr7O+J8Y/mvpMMWAUQTmhU5Lmpys1sAHfajyeK1ZWPu3y1NEOUSCYYIQRqXwNGojOrthNCCFLH1hHduRZTiQzoSN88NMNVM0yauqP0JTWe2NRG94CUoabAmxUvQVOLIUwNR+4s7P4qOTt2CiH/S0rOO1r4IFqoGat77N08QgiUY+uIDAbLxR/GW/fG04KWEIIj4SQHexP8Ylc7DZ3RIQNW3TCJqwZzS3wUZCCaFaae7kpy+HCXXSr9eCSS84AwDdTePRipIDZX9jof1d49RHY8hBbcR868d+Gb/+6TJlkkNZ2Grhhd0RQPbzhErts+JGVQDRNVN1lQ6icwCi9BU40hTBVHQOpJpyoyCZOcN9LbBvsxokey0rGk9jUS2fEgWl/DGYPlIIZp0tyb4GAwzuOb2tANwf0DBqxDotmKAN5h9F/CNNJO1DY3jpKLsWfRPkMikWSOMHXU7p3psTxZKoL0aBuRnY+SOvoS3lm3kr/mS9i8JSe9J21lE6e5N8ajGw+zfEYe71+RljIkVQObNS3Ad43QS9DU4ghDwe6fgSN3FhabHJ83VZFJmOS8IIQ5sG3QNeZtAz3eQXTnoyTb/oqn9mbyV99/WrAcRNUNGruj7OuK8dirbdQVefno6lq8ThtxxcCTgWh2qCvJasNZKFvCJZLziTBUlK6tCFPH6hz7uC8j1U9s7w+IH/gNrvJVFN/8Exy5s057X0c0xcG+GBsPhfjlrg7esbScm+elY0FU0cl1OZhd5M1YSwonN/M4cmdhtWd3fqTkwkMmYZIJR5gGas9ODCU8pm0DU40Sa/gRsaZf4ixeQvGNP8SRP/es74+mNPb1xNh4uJ+fbTvGLfNLeOuSciyQkWh2SBgrhOxKkkguAISuoHRtQQgx5mH3pp4i3vRzYg0/xh6oofCaB3GVXnL6+4TgYDBOZ0Th17s7ee1IiH+7YiYXV+amDVgTGpV5bmZkqCUdPLfQ4thyymQzzzRDJmGSCUUYGkr3NoShjHrbQBga8ZbfEtv9JFZPIQVXfA1X+epzBryemEJTT5TnG7pZ1xrkI6urWVVTgGEKoopOXWEOxb6zW0gcF8bWDRitykdHIjmfmFoCpfM1LFYHVsfokxZhGiQP/oHI7u9jsTrIW/E53NXXnbHA0k2Tpu4YnTGVJzcdpj+h8YUb5jIj14MxQi0pDHZSx7G5C3GULB1zIimZfMi/JJIJ4+SqdeSdg+mZbC8R2bkWoSXwX/RxvDNvPWdCJISgLZSguTfOD7ccpSuqDBmwqrqBaggWlfnxuc4seB00WrX7a3AEaqUwViK5ADDVGErnZix276j1UkOTM3asxUj24F/4AXLmvOWsn5caEOAfDSf53obDFPoc3H9TPX6XHUU3MAxYnIGWFNJbqOlO6gLc5YtlJ/U0RiZhkglhrFWr2ruHyPYH0fr3kzP/Tnzz7sTq8J7zGN002d8d40BvnEc3HibP4+D/u7GeXI+DhGrgsFlYWuHHaTtdNGvqKYQex5ZTgTNvtjRalUguENKGzluwOgOjXpFON/E8jNq7G1/97QOTM/xnfX8kqdLYE2dfV5THN7Wxqiaf9y6fgd1mJa4YuO0WFlb4hzVgFYaGqUexOgO4y1ZidY1dwyaZ3MgkTDLumGo0nYBlULUqPTsxokex+6twFi9Bj7UT2fkIqSMvpjuULvsKNm/xsOdMaToN3TF2tId5atMRVtTk8d7lVditFiJJnaIcBzMLTx/APbQ94CnCUXLRsImeRCKZOPRkL2r3dqzO3FElYHqsneiuR0m2/Q1P7U2UrPo89pyycx7TFU3R0htn3cEgv9nTOeQlCBBJDcSSgtNjyYmcaGPjLLkE+zgMD5dMTmQSJhlX9FQ/atfWjKrW0JZvkmx9AbAgENj9VeiRQ7hKL6H4ph/hyJud0TkjSZXG7hh/O9B7sgGrSAfNmgIv5aeYJgpTx1TDWF15uMtXnrMqlkgkE48e60Dt3Z2xofOJBZ09UEN071PED/waV8klFN/4Ixz5c855vCkEh/sTtIeS/GJnBzvaw3z6qlksLg9gDmhJawu8lJ3DgFWYBkINY7F7cZRcjM1dIDupJSchkzDJuKEnugfGEOUPO15D6dlJsvUFhJE6fnyoGf/F/4Z/3h0Zn7MzmqKpO8YvdrTT0BXlM1fPYlFZANUwUbTTTROPV6g5OEuXywpVIrkA0SJtaP1NGRs6n1TQmRpgwZ47k4Irv4m7fOWwxw9KGToiKb7/ahtxTee/b6inIteNapikNJMFJT4CnjOv7A95CFqdOIqXYPMUy+RLckZkEiYZF7ToUbRgQ8ZVqxE9etq/WWxubBmuSA22jR/oOW7A+sUb6yn1u4ZME5dWHDdNFMJMr3xZnTiKL8LmGbtbv+R0NNPgrpd+RkcywsUFlTyw6s1Drz11YDNPNm3CRPDYmrezuKD8HJ8kma5oodYRTdQ4U0GH1UHu8k/jKl46/PG6QUNXlMPBBI9sPEy5381nrqnD57KTVA0sFrio4swGrEKYmEoYi80uPQSzzFSNJZPe5MjUU3Q++2baf3k1ff/81Pm+HAkDQTPYiNVVmLmPltWOMJRT/jG9JTns+QyThs4Ir7WF+N8XWyjwOvjCDXMp9buIKjo5TjuLytJBUwiBoYQQWhxnwQJclZdj9xbJQDlO/PrQLi4urOSlWz5BTFfZ3NMGQF8qzk+at/DSLZ/gicvfQUu07zxfqeRCQwiBEmxED7di82T+jOrRIwhhnPRvFqv9jIXeqURTGjvbI2w7FuZ//9nKJTNyuefqWfhcdqIpHa/TdkYH/ONxJYazcD7uyiuw55TKuJJFpmosmfQrYclDf8ZZMJ+CK75K1wu3owYbcRbMP9+XNS0RQqD278OMHhvRGCKlayvhLd/E5puBmewBiwWEwFv3BpzFS8557ODctvUHg/x8+zFuml/C2xaXgwXCSY2qPA8VATcWiwVTjQACR/4c7DkVw26RSsbO5p423j4zvfpwXcUcXuk+xIriajb1tFHnL+It//ghNouVxy97+3m+0nRB1/37OzCVEK6Siym8+jvn+5KmLUKYqL17MZI9I5qoIUyd1JEXwdRO/cBhC7ruaIrmvjgvNvfxfEMXd10yg2vnFCGEIJzUKA+4qc472YD1ZANnGVfGk8kUS0bCpE/CnIULSLW/kn4Y9OSo/KckYycdNPdgJEYWNBMtzxPa8nX8C96Hb9EH0Xp3o0ePDHVHnov+hEpDd4Tn93bzckuQD6+qZnVtAbphklAN6ot95HudmGoM09Rw5M3C7q+SRqtZpL6+/qSfP/nJT3L33XcP/RzRFHwD9h45dicxLb3aGVQTbO87xvpbP8mzbXv52q5/8I0Vb5i4Cz8DsqC7MDh5okZexseZapTg+s9hRI/irrke5ei6jAq6tJdgkkP9ibSWtDPKPdfUsaDUj2GYxFSDOUU5FOa4TjlfBISJPbcOu79SxpUxMpViyUiY/N8aq53kwd9ztPV57IFabL4Z5/uKph0nDc/NUNguhEl05/eINf2CvJX34a29CQBn8ZJhky8hBO2RFPu6o0MGrPddP5uZhTkkNQPEwNBcVIxUDLu/CkfuTDkEdxxoamo65+t+h4uYng6WMU0h4Eh3kuU7PVxWOhO33cF1FXP4YfNr436twyELuvOPMHWUrm0IIzWiiRp67BjBl/4Diz2HohuexOYpRO3ZNWxBZ5gmB3rjtPUneHzTEVTdGNKSqrqBZgiWlAfwOo//qTS1GMLQcARqsQeqpYFzlphKsWQkTHpNWGTHWl6w3MG744/zbEcpfXt+etLrDz30EPX19Sf9T5I9hKGidL6GqScyHp5r6in61/8/Eq3PU3jtQ0MJWEbHCkFzb5zNbSG++c9WdMPk/hvrmVmYQ0zRcdusLC5x4TIiWN35uCsvx1lQLxOw88QlRTN4qbMFgBc7mllRXA3AxYWVvNbbhmGabOk9wpxA0fm8zDSDBd2PFiJMXRZ0E8xgLBGmOqIEWO3dTe9fPoQ9dxaF1z2CzZOWQjiLl+CddetZEzBVN9jTGWFvZ4T/fbGFgNvOF25IJ2AJ1cBmsbCk4ngCZmpxDCWIzVuGZ8YVOPLrZAI2gUyqWDICLEIIcb4vYixseu4edsQr+Mg7P8X6P3yFYr+P+iv+7ZzH1NfXD5t1S4bH1FOona8hLNaMB84ayV6CL9+D0BMUXPVt7L7KjM+nGgb7umO81tbPD187yqXVebzv0rQBazRlUOazUOk1sHuKcBTMlXPYxplMniPV0HnPy89wJB5iSUE5d8y6mIZQFx+bt4aHGtbxdMs23DY7T1/1bipzRjdLNFv0vXQPzqKF+Be+j+D6/8JZuADf/DuHXn/ooYd4+OGHTztOxpKxY+oplM7NYLGNaHh18vBf6X/1S/jq34F/6cczbgSKKRqN3XG2HQ3xw9eO8Lq5xdxxUQXWATPnQq+DWUVpA1ZTSyCMFHb/DByBmXJ6xjgw1WLJSJj0SdgXnt3A67o/TzIZxeYu4Jr3/Qab89x/fGUSNnZMLT4whsiJxX52s8IT0foPEHz5M9j8VRRc/tURGaImVJ09nRH+uj9twPrOiyu4YW4xpimIpRTqck2K8otx5tfLUSATxFR7jvo3fhFH4UJ8c99OePtDWKxOAks/cs5jptrv4HwwFEtsLiy2zBIcIQSxvU8R3fsDci/5DDmz3zz8QQP0xhX298T4y/4e/ryvh/ddWsWVdYVDBqyDZs4nji5z5NVhzTDOSUbOdH6OJr0mrF3x8fOCB3jkrUv42K93kWqO8foFx5Ows1WvktFjpMIo3Vuw2n0ZL8en2l+hf8N9eGquJ3f5PSMSsfbFFfZ0RvnFjmM0dMX4zFWzWFQeQNFUDCXC4rJiAmWLsHsybwiQSE4lcNEn6fnzB4jufBSrO5/im3580usylmQfU42S6tw8olgiDJXQ5q+ROvYyhVd9G1fZisyOE4Ij4SStvQl+tv0oB3rj3HvtbOaW+NAMk6RqMq/ER67DxEgFsXmL5egyybgz6VfC7nm+gdW1+bxlcTm/2tlOc1+ce6899ziK6Zx1j5X07LYdIxqeG9v/SyLbvktg6cfJmfeujL1zBoPmno4IT24+gm6YfOqqOkp9DpLxflwOF/PmLsPjL5N+POcB+RzJ38FYGMlIs0FMJUxw3b0YiS4KrvoWjtyZmR0nBAd647T2xfj+q2l/qU9dOYtin2uomWd+kRMnSWzuQhz5c7E6ZWPGRDGdn6NJvxK2ojqPl1v7eMvicrYcDXNp1eTZC55s6LFO1N5dGY0hgnSnU2TbAyRanyf/sq/gqbo643MZpklzb4Jtx0I8/mobdUVePrqqBq8lTiyeIL90IfNqZmOzSU8eiWSykR5pthOrKy9jXy092kbfS5/G6sqj6IYnMrbCUQ2Dxu4o+zpjPPZqG7OLvHx0TS0eh424ouO1mczOB4fLhbNgqZwbK5lQJn0SdtuiMv7Q2MWah9ZTm+/hKzfPO9+XNCXRwm1o/fsyHh1ianH6N9yHFjpA4esew1mQ2X+Xne1hDvYlMITJ0XCKn29v56Z5xbx9vh9BnF7LDOrr51BVIAOlRDIZ0WPHUHv3ZjzSDEDp3k5w3Wdxl60kb9V9GWnHdraHae6NoxsmvQmVn24dMHNeUo4FCMeTlHs0qoqLcRXOxzoCSwyJJFtM+iTMbrPy1B0Xn+/LmLIIIdBDLWiRgxknYHq8k+BLnwaLleIbfoDNW5LRub7xYjPP7e3EFOkBukLAJ1YVs3JGDglXOUlHJcurCsnzSrsJiWQyooUPo/XvzziWACQO/oHQ5q/im38X/sUfyihxOzmWCIQQfGRNDWtqCzB0nXiin7qSYspmrJBaUsl5ZdInYZLxQwiB2teImejMeAyR2tdA8OXP4CiYT/6aL2Usat3ZHua5vZ2kdBMAFyp+u4Y/dykhfz0Op4s1lXm4HXL7USKZbJxYzA36eGVyTHT348Qaf0Leis/hnXlLRsedGksAHFYLRV47WiKIgpOF89eQn18utaSS845MwiRnRJgGau9ujFR/xqNDkkf+QWjj/Xhn30bgortHNEOtpS+OIcCKid8ap8fIo0WfzfZYKQt8OSwqC2CzyoApkUw2hBCowUbMeObFnDAUQq9+mVTnJgqveRBXSea7Hft7ohgntJtZMMm1pegIhqiuXMEls+rwOOWfPsmFgfwmSk5DmDpK9460R04GOgkhBLHGnxDd/X1yl32KnDlvHdH5EppOX0zFYijkWBV2q3VEhB+33cqKqjyWlAdkxSqRTEKEMFF7dmOk+jIu5oxUP8F1/4mphCi+4Qns/uqMzxdKqvQndDQjvQqWY0kgsNCsV5FXewWXzq2RxZzkgkImYZKTEIaK0rUVIXSsjuHF78LQCL32dVJH/kHBld/EXb5qROdLqDrrWvv4896D5HvtvBafjWZ34hbw7mWVvG1pxWhvRSKRnEdOmimbYQKmhQ8SfOnT2LylFF//xIjE8qGkysZDQZ5v6KLAa8Omhmkzy2k3Snj70hm8Z3mNLOYkFxwyCZMMYepJlM7XBkaHDD/yx1TCBNd/DiPeTtH1j+PIqxvR+RKqzovNPTy1YQ/+vAo+d+tN7OqIcbg/yfVzi7l2TvFob0UikZxHhKGhdG9DGGrGM2WVztcIrv8c7soryVtx74jmvfYnVF45HOTh9YeoCVj5+Kpq9ii1NIbtXD2riFsWlI72ViSScUUmYRIATDWWHh1id2fU/q1Hj6Q9e5x+iq5/MmOx7SAxReMfB7r50St7cBfO519vvRLdFCwqC/D+FdW47FKAL5FMRoSuDKymmxnPb423PEd4y//iX/gBfAvfP6IVq2BCZV1rkEdeOcS8fPjQmpnoeYup1h287dJ8/G75Z05y4SK/nRKMVAilawtWhz+j0SFK9w6C6/4TV9ml5K/8fMazIweJKRp/33eEJze2kFN+KffcdAmKbmC3WlhelY/Tnpl3kEQiubBIr6ZvBosjo85oIUyiO79HrOkX5K38At7aG0Z0vmBC5Z8tvXzvlUMsKxbcefmlaL7ZJA1YVZNHjkv+iZNc2Mhv6DRHT/Sg9uzA6szNaHRI4uAfCW3+H3zz341/8YczNlscJJrS+FtDKw+/2k1pzeV89nULSGkGLruVZTPycNhkAiaRTEZMNYbS9RoWmyejrURTTxF69X7U7u0UXfswzuIlIzpfX1zhxZZeHtvQwopyG7dfcz2qsxhNF6yuyccj7WwkkwCZhE1j9Fj7gHN1/rDJlBDmgGfPT0fk2XMi4aTC3/Y087VNSebNXs09184hruj4nHYuqszFLhOwSY+pJ7HaPVn9zMf2bWRJQTmL88vxOYbfKpdMPEYqjNL1Wsar6Uayj+DL9yD0OEU3PIndVzmi8/XGFf5+oIenXmliZVWAd1x3KyoeDBNW1eRLP8EpQLZjyYUaRyY8CfvQL3eytCLA4jI/i8sDFOY4+X1DF7dK4eSEcty5umBY/YXQU/Rv+jJK5+YRe/YMEk4k+POeVu7baOWKRcv59ytmElUM8txOllRID7CpQvcLd+AqX0Fg6cexufMBiO37Gb557xr1Z0a1FI/u20hDqBNDCG6feRH/ufiarHW6yZg0NvRkL2r39oxX07VQM8GXPoPNP4PCa7474lmNvXGFvzT18JNXG1hWW83t176OpGHDaoFV1VLOMFXIdiwZ7zgyWixCCDH827LHi8297O6IsLszyo5jYY6GU3jsVlr/63UTdg3TeWK7EAKt/wB69HBGxolGso/gus9iqmEKr/rWiDx7BglFQrzQ2MlnNzp588Wz+ejqGiIpncIcJ4vLAlhlAjYpOdNzFN//K/rW3Yup9OOZcTXC1DGSPVS+85VRn2dr71EW5pXitjtI6hpf2fk3fA4n9y65bqy3AIwtJk3nWAKgxzpR+3ZjdWY2iDvVvpH+Df+Fp/o6ci/9bEZJ24l0R1P8aV8nv9jcwMK5F3HXlWtIaCYOm5XlVVLOMFmZiFxECo0AACAASURBVFgy3nFktEz4Stg1s4u4ZnbR0M8vtfTy7N6uib6MaYkQJmpfI0aGY4i0cGvasyenbMSePYP0h3r4TVOSz27I4a4VM/ngympCSY0yv4sFpf7zXoVIskvwlS9Q/pY/YvOWoPY1EHr1y+Qt//SYPvM7e1+iIdSFbhrU55awIK+UnzRv5e21S6kLFA3/AcMgY9Lo0KJH0IKNWF2ZzYGMH/gV4a3fIbD0Y+TMu3PEz353NMUf9h7h51taWLLoSu5as5i4YuBx2lgm5QxTjmzHkvGOI6NlwpOwcFIj13NcM3BVXRH/8dzeib6MaYcwDdSenRhKGJsrf9j3pzo20b/h/+GecTV5l96bkc7j1PP1h7p5utnJf22w8bE1M7nrkhkE4xrV+W7mFvtkAjYFsedUYHF4sbpycVespvS25zn246UjnqJwIj+4/HacNju6abAv3M2OYDtdySj/tul3HIwG2fuW/xzTNcuYNHK08EG0UHNGCZgwDSI7HiLR/FvyL/synqprRny+rmiKP+5q4Qdbu1iz7HrevXIOUUUn4LaztCJXyhmmINmOJeMdR0bLhCdh1z26kZiqM6coh4VlARTdYEGpH90wZSUzTqSNE7cjjFRGY4jiB35DeNu38S/+F3zz7xpxsiQMhf5IiMeb8/nyuiCfurKOd1xUQTCuUlvoZU6Rb7S3IrnAKbjy63T+5mY8VdfiLLkIPXokI9+5c7Hs2W9jt9pYkFfK3Nxi9vZ38rbapTx62duycs0yJmVOWs6wHyN6JKPVdFNL0L/xC2h9jRRe9z2chQtGfM6OSJI/7tzPw9uS3LLqBu5YVk0kqZHvdbKkXMoZpirZjiXjHUdGy4RrwgBMU3CgNz6kw9jTEaGxO4bDZmHnp68e9/NPJx3HceNEY1jjxMGKNd78W/JX/Tee6mtHfD5TixFKmjzY4OebGzq499rZvGlhKf0JnboiL7MKMzNvlFz4nO05MrU4ycN/Qe3ZjcXmIKf+nThya8d0rqSusTfUyf5wD06bjTdULcRly14NOdqYNK1iyYlyhgxW041EN30vfQaEQcFV38KeUzbic7aHY/x+x36+ts3Be65cwVuXlBNOapT4nCwolQnYVGGiYsl4x5HRcF6SsLORUHW8EzDdfroETlNLpMcQWR1YhzFUPV6xNlBw5TdwFi4c0bmEEAiln6CZx7d2OnjolSN84fo53DyvhGBcY16pj+r84c0bJZOH6fAcDReTpsPvAAbkDL27MFJhbK7hxxBpwSb6Xv4Mjrw68i/7SsbO+SfSHgzym11H+dK2HP792iW8YWEp/QmNylw380qknGEqMV2eozNxQfmETUQCNl0w1ejAGCLvsMaJJ1asRTc8iT2nfETnEqaOqYTod87kq68m+f6rbXzppnqum1NEMKGxqDxARe7IXPUlkgsBGZPSz7fSvQOhxzNKwFLH1tG/4fN4Zt1K7rJPjbgDEuBYTxfP7AnzP9tyue/GhdxQX0J/QqM638OcohyZgEmmDDLCTEH0VD9q11aszsCwAVAN7vv/27vz+Kiqu/Hjnzv7ZDLZ9409YQ07AgoqqPVxqwsCFSita1tFbbXP77HW6tPWWq1Vn4JSbF1al1oF3KhWqygKiKyyCoGwJZBASEgmM8ks997z+yMQCXsQmEzyfb9e/MHcmXu+d5Zvvvfcc8+h5rOfn/IZq6kHwQxRE1fM/366h7+vKOP3l/diVNcU9jdE6J+TSKa37UyMJ4Q4ecoIHxjOoGOxH38+L6UUgU3/xPfVdBIG3omncHzrx5Mqk91VFfxlHTzxlYeHL+vFBd1SqQ6E6Z7mkeEMot2RIqydUaZBpHnixOPP29NY/hm1i3+Fu+sVJA66u9VnrGbYh2Zzs881kF9+uI1/frWbx6/szTkFydQEIgzOSyQtXgowIWKRMg1ClctQgMV2ovGkOnUrn6Rx23ukjPo9rtxRrW/PCLGrej9PrvXw19UNPHZFb87t3JRLijLj6STDGUQ7FPNFmFKK6k/vJrxvLRZbHBmXv4bF0XHvvjMa96GUwnKcAkwpRWDjq/hWP0PCoLuILxzfqjaUUpihGqzePPaQx/+8V8Jb6yp58uo+DMxNpLYxwrCCJJLjTrx+nBBtheSSlozGfZh6sHm28mMxIwH2L7qfSG0paWP/jD2lqNVtmRE/ZXVhHlmTxGtr9/PEd/swND+JmoYIfbK85Cad3qWwhGgrYr4Ia9z2Hhabm5zr5xMofQe9fkerB5W3J3rdtuMuA6JMnbrlj9O440NSRj2GK/fcVu1fmTpmuA5Hal92hxP42Tsb+KCkiunX9KVvlhdfo845BUkkuqUAE7FFcklLev2OEy4ppAcqqFlwL5rFSvolz2GNy2hVGwdv6CkLxfPgCifvfl3Nn67uy4DcBGoCEQbkynAG0b7FfBEW3PU5WOxUzLkUR1pf4rpeGe2QosaMNGBG/FhdKUffHq6nZuEv0Ot3kHbRLOzJPVq9fzBwZY9gh1/jrrfWsaC0mqev7UdhuodA2GBE52TinTH/tRIdkOSSb5h6EBXyYTlGLgEIV2+g5rN7saf2JnnEr7HYW3e58OAJXZmRz32L6vlocxUzru1L70yvDGcQHUbMz0RoBPdjhmrJvu7fKD1I47b3WmyfPn06RUVFLf61V7p/1zEns9P9u9j3n1tQET/plzzf6gLMCNVisblxZY9km0/jJ7PX8vnWGmZeV0z3NA8NYYNzCqQAE7FLcsk3jEAFWI69SkZj2XyqP/4x7k6XkHLeo60uwEy9ETPsZ4elF/fMr+OT0n08c10/emV6m4czSAEmOoKYL8KsruTmSUXdBRcSrm653Mi0adPYtGlTi3/tkVImRn05mu3IZBiuWsO+D2/GltCZ1LEzsbpPfp0spUyMxmrs3gIcmYPYXBPk1tmrWVZey5/HFdMpxU3EMBnROQWPFGAihkkuaaKUQq/fiWY/cjycUor6DS+xf9EDJAy888ANPSdeuPtQRqgOrA62Wvtx93tlfLFjPzOvK6ZHmof6YNNwBhlPKjqKmC/CnJlDCJYvBCC0ZwX2pO5Rjig6jOB+UOYRt4Q3bP+QffPvIK7rFSSf97sTTtp6KGWEMUO1ODIGYE/uzqYqP7e8vob1lfXMGldMbqIL04RzCpJx21uXiIVoaySXNFFhH8qIHJFLlKlTt/R3+Ne/QMrox1u9hp9SJkawGqsnh81Gd6a9U8Kq3T5mXV9Mp2Q3gbDB8E7JMp5UdCgx33UR1/1qGra9z+7XRmFL6ETyyN9EO6So0Ou2o9njCVWtxqgvx+rNI7xnOfXrXyBxyH/j6XZVq/ZnRgJomgVXzkgs9jg2VPq4+fXV7NjfyKzri0lxO7BoMCQ/GYct5mt5ISSXHBDx7cByWI+6GfZRs/AXGPXlpF38bKsLVGWEMSN+7GnFrK91Me3NtZRWN/Ds9cVkxDsJ6k0FmEyOKzqamP/GaxYb6d95LtphRJXSQ5jh/dSvfZ7GrfMADWWGAQupFzyFM2tIq/ZnBvdjcafhSOuDZrGxpqKOm/65mj31IZ69vhiv04bDqjEoLwm7LHAs2gnJJU29XUZDFVZXcvMJnWZzUb/2WTSbh7RLnsPqPvHC3YcyIwE0NJzZI/hqT5jb565hly/Is9cXk+y2EzFMhndKkd500SHFfBEmQA9UEqnZROPWeSgj+M0Gq+2ESxYdSpkGZmg/9uQibAkFaJrGql213PjaauqCEZ69vhi3zYrLbmVQbiI2KcCEaFeMxn2gQe3yx5vyCQqMENb4XNLGPtO64QxKoUK1WNxp2FN7s3xXPT+avZaaxkjzyZxSMLxTMk6bFGCiY5K/ojGuaRDtDozGaqDlGA5Ns6DXl53cfvQgKlKPI2so9sROACwv28+UV1cRiOjMur4Yl92K12VjcF6SFGDipERMg4mfvMT57z3N3UveOmL7l1U7GDnvT1GITByNXrcNvXbbNyd0RggAs7EafX/JSe9HmTpmsAZbUg/saf1YstPHza+vwRfSmTWuGI/DikWDYQVSgImT015zSbv5S/r4p6Xc++76Ez+xnWkaRBvG5s1HYR62UWHz5p9wH2bYB5qGM2ckNlcySimW7tzP5FdXoRTMvK4Ym6aR5LIzICcRq0UWzxUnZ872NQxMzWXBZbfj18MsrdrZvK1BD/PU+s/RTfM4exBnS9M8g4Gm6SkOO6FD0076hM7Ugyg9gDNrKFZvPou37+eWN9YQMUxmjSvGbbPgtFoYKuNJRSu011zSLn4B6yvrmbu2ItphRMXBQbTO9P7YEzoDGprNjWZ1EdftShzpxcd8rVIKI1iDxZ2BM2sYFpsLpRSLt9cw6dVVOK0Wnr62HxqQ5nFQnJ2ARQow0QpLq3YyOqsrAGNzerB47/bmbb9a+W/uKx4TpcjE4Qx/BZrFgdWbh1J6y40neUJnhOrQLFZc2SPRHIl8tq2aG19fjUXTeOa6ftgsGnF2K4NlPKlopfaaS2J+TFjEMPn1h5u4f2wPPindF+1wziplRDAaq7A6k1F6ED1QQXzfm7B5srF5849fgJk6ZqgOR1pvbPG5TY8pxWdbq/nBa1+REmfnye/2IawrchNd9MyIP+KWdSEOn7D0jjvuYNq0ac3/90VCxNuaJt302Bz4I02Xtz7aXUKq00NxSs7ZC1Yck1IK3V+GZvfiSCtGs7lREYVmtYNSJ3FCZ2KG9mP15uFILkIpjU+27OOW2atJcjXlEkNBgtNOcU6C9KaLI3TUXBLzRdjDH23mjvO6YJgq2qGcdXrDXg52Zjbu+A+axY6399SmxHkcZqQBlIErZ3jz2nBKKT4u2csPX19DbqKLP17Zm8aISUGymx5pHinAxFGdaMJSr92JX29Klv5IiAR708DuOdvXsKF2D//ZvYlNdVX8bvVH/KL/RWc8XnF0ZqgWlIGmaYT2rEDpjSSP+j0qVHfiEzojghmpx5HaD1t8Fqap+KikiltmrybT6+SJq/oQ1k3SPA76Zklvuji6jppLYr4I+9fXe1hQWk1tMEJ1IMyF3dK4vHdm8/bp06czY8aMKEZ45hi+HVjs8Sil8Je8gaf7NScswIxQHRaHF2d6cfOdk0opPti0hxv/uYbuaR5+f3kvAiGdrqkeuqV5zsahiHZqcFoeCypLGZHRmU8qtnBT4TkAzBw5rvk5w955KiaSZnvOJbpvR/NqG4GS13EXXIQ797wTvs7UA6AUrpwRWOweTFPx/sY93Dp7DV1S4nj0il4EIyZZXie9M71yMidOWXvKJYeK+Yvyy+4ezSc/GcmTV/Vh/ICcFgUYtN+lRsywH9NoQLNYCe9bg+7bSlz3a475/IOzVdvic3FmDmouwExTMW9DJVP/sZqeGfE8enlP/EGdwox4KcDEtza+c3++qt7NufOmY7NYCJk6MzcujnZYp6S95hJlRDCC1WhWJ3qgguCuz/EUXn/C1xmh/Vjs8QcmdPZgmIp3N1Ry0+urKUyL5w9X9KYhZJKX6JICTHxr7SmXHCrme8I6Kr2+DM3S1B0bKHkDd/6YY06ieHC2akd6f2xxGc2Pm6birfUV3PrGGobkJfHQJT2oCxr0yYonL6l1C/IKcTQOq43XLpzS4rHzs7q1+P/Sq+4+myGJwxw6rKFh81zsKb1wpPY+5vOVaWCGa7En9cCW0AlN0zBMxZtrdvPjuWsZmJvIby4twhfU6ZIaR/e0I9egFKK12msuaTdF2AXd07ig+8kvTB3LlGlgBCqwOJMwGqoIln1C2kV/PupzTT2Apmi+XND8uKmYvWY3t81ew6iuqfxibHfqGnX65ySQlXDyEzIKIWJb87AGPUhD6TskDP7pMZ+r9CDKCOLIGIzNndL0elPxxle7uP3NdYzonMwvL+pBXVCnMD2ezilyMifE8bSbIqwjMRr3oVTTjQiB0rewJ/fAntr3yOeF9mN1peJI64tm+eajNk3FP1bu4idvruGSwnTuuaAbvqDOoNxE0r3Os3YcQojoMiMBTL0BqyuFhu3vg8WKO3/s0Z8b9qFZnThzRjbPnG+YildXljPtzXWM6ZHG/4zpRm2jTu9M6U0X4mRIERaDdN92LA4vyojQsOVNEvr/pMV4i28uF3THltC5xTbTVPxteRl3vrWOK3tncueoLtQHdYbkJZLikQJMiI5Ery9HszpRShEoeZ24o9zco5TCDNVgjc/FkdITTWu6dKkbJn9fXsZdb6/nit6Z/HR0F/Y3RijOTiRbetOFOCkxPzC/ozH1RlS4Hs1io7HsY1Am7k4XN29XSmGG63BkDMae2KVFAWaYir9+uYPb565lXHE2d57XGX/IYGh+khRgQnQwSpkY/t1Y7B7C+9YQqS3F0+3qls8xIpihGhypfXGm9m5RgP31yx1Me2sd1/bL5u5RXdjfqDMoJ0kKMCFaQXrCYoxRvxssTXc2BkpmE9ftu2jWbwooFalvGjB7YLxG8+tMxcxF2/j5v75m6pA8pg7JIxA2OacgGa9LvgZCdDRGcD+opmVemm/uiUtv3q5MHWU04soegcXxzeB63TCZuXg7//2vr5kyOI8bh+VTF9QZKr3pQrSa9ITFEKXMA7NaewhXf02kZsMR01IoZWCLbzlzsGEq/vRZKffM28CtwwuYOiSfhojJ8E5SgAnRUel1O9Dsnuabew6flkKFfdjTilsUYBHD5E8Lt3LvvA3cNKyAm4bl4w8ZDJPedCFOifwFjiFGcD+YOpqmESh5A1fuaGyerObtZtiPzVvQYkyHbpg8/mkpv/pgE3eN6sLV/bII6SYjOiUT55CPX4iOSBnhpnFerhQCW97EntQNe1q/b7abOpotDqsrufmxiGHyx09LefCDTdxxXheu75+NP2RIb7oQ34L0hMUQw7cDzR6PEayhced/jjxzVWHs3oLm/+uGye8+LuGBDzbx8wu6cXXfLAxDMVwKMCE6NL1hD5rFhjLCNGx5E0/h+JY394R92JILmx+LGCaPfLyZX32wiZ+d35VxxdnSmy7EaSC/nhih9BBGsOnMtWHjO9i8BTgyBjVvNyMNWD05aAcWONUNk4c+3MSjn5Tyy4t6MObAHGrndErGabNG5RiEEG3DwRO6xh0fNt3cU/DNUi/KNNBsrubJn8O6yW/+s4nff1LKL8Z255Ki9ObedLddcokQ34YUYTFCDxw4czV1Alvm4u3zw5bLgBhB7IldWLSthk1Vfj4qqWL2mgp+/Z0izu2cjM2iMSQ/CbtVOj+F6MjMcD2mHsRqiyNQ8kbTzT22b+5oNCM+HGn9WLx9Pxv3+vlkSxWvr67goUsKuaBbanNvuksKMCG+NSnCYoBSCr1+O5o9nmDZp6hII+7Ol36zXQ9icadx97tbeH5pGRHDJGIqRnZKZmSnZJw2C4PzkrBJASZEh9c0N5iLcPUGIjVfk3zuw83blGmgWez87N+VPL+svDmXjOiUzOiuTT1jwzul4LBJLhHidJBfUgxQYR/KDKNpFgKb3yCu6xVYbO7m7aYeYEVdKi8sK6MhYhAxm2bTX7mrjtLqAEPyk6UAE0I0LXnWUInFHneMm3vq+Ko+neeXl7fIJat21bFxTz3DCpKlABPiNJJfUwyI+MrQrHFE9m8mvPcrPD2ua96mjDAWZxKba0E3VIvXWTSwaBpWi3b4LoUQHZARrGmapDVYQ+POj1rc3KOUiWa1U1Ifh3FYLtE0sFotMpxBiNOs3fyi6lY8QfVn/y/aYZx2ytQxGvZgsbkIbJ6NM2ckNm9e83ZT9+NILsRUJiHDbPFaTdMozIg/fJdCiONor7kEQPftwGKLp2HLW0fe3BP2YU/qQchQR+QSi6bRU3KJEKdduyjCwtXrCWx+M9phnBFGw17QNMxQHY3b/93yzNXUsdg87NddPPzRFnISnLhsFuLsFjwOKzcOzWdk55Tj7F0Icaj2nEuUHsIM14KmEdjyJp7Ccc039yil0DQL1WYSj8zfQn6iC5fNgltyiRBnVMwPzFdGhNolvyXpnPtoLFsQ7XBOO71uOxa7l8Cm17DEZeDMGta8TYV9aCnFfO/llRhK8eLEAWzZF8Bps1KUES9JU4hWaPe5JFCJZrETLF+A0oMtbu4xw3VYEroz8ZVV2Cwafx7fn81Vfhw2Kz0llwhxxsR8EVa79BESBtyOMo2jbp8+fTozZsw4y1GdHmYkgKk3YHEkEtg8B0/RhOYFdJVpgMXBA5/s5Ysd+3l+Qn9AY+rQApm7R4hT0J5zSdMd1jvQbJ6maSkOublHKYWGxn2f1LCyvI4XJw4EheQSIc6CmC/CGra9R7D8M8xQLUawBnf++cR1uax5+7Rp05g2bVqL1xQVFZ3tME9J063kTkIVizFDtcR1vaJ5mxn28a+KZJ76fDuPXtGLRJedATkJkjSFOEXtOZeocD3KDGPUVhCuWk3S8Ae+2Rap592dLmYsLueJ7/YmzmFhYK7kEiHOhpgvwnJvWAJAY9kCGra91yJpxjJlGhiB3U29YCWzcXe5DIvd07RNmWzbH+LWeRXcOCyf/jkJdEmJIy1eFtAV4lS111wCEPGXo1ndBEpeb7q5Jz4XaOoF21Ll47b3NW4b0YleGV56pHtkMW4hzpJ2MTC/PTp4K7nu20GocmmLaSl89fu55d/19M1K5HsDc0h22+mSEhfFaIUQbVXTCV0FGGEadnyIp3B88zafv4Yff+BjYF4q4/plkxHvoCDJfZy9CSFOp5jvCTvInX8+7vzzox3GaaP7tmGxe/GtfQ5H5hDsiV2aHjcMfvdxCRWRbjx7SSEWTaM4O6HlEkZCiFPW3nKJ0bgPFAS2voMtLgtn1lAATNPktx9uotLszsyx3XHYLfTJklwixNkkPWFtkKkHUSEfygjRsO094g9MS6GU4rnFX/OvnS5+f2VfAFmOSAhxXE0D8uNo2DLnwLQUTfni2YUb+HC3m0eu6IdV0xiUmyQTOwtxlslf7zbICFSAxU7jtvewOBNx5pwLwEebq5jzVRm3jR1BsttB/+xEPM5205kphDjNTL0RFfIRqvwSM+TDfWCc28eH5JJEl52BuYmyILcQUSB/wdsYpRS6byfY4giUzMbT4zo0i5XSfX6e/HgtQ3v1YXBBOrmJbjK8MnhWCHFsRqASLHYCJa8Td+Dmnu01Af74n9UM792XvjnpFGV4SI5zRDtUITok6QlrY8xQLSid8J7l6A2VxHW9kvpQhP95byNdk+xcMWQI8U4b3dM80Q5VCNGGNc0NthO9oYrwnhV4Cq+nIaxz77sb6J7q4NLBg8jyOihIlpt6hIgWKcLaGL1uO5otjsDmN4jrdAk4Enjwg02EQwFuOHcAWF30z0nEImM3hBDHYYbqwNBp2DwbZ9YwLN58fvnvjZiRAOPPHYLb5aF3VkK0wxSiQ5MirA1RRhgjVIPRuI/QrkXE9bieZ5fs4MsdtUwbno0e15nBeUk4bPKxCSGOT6/fiVIGjdvfx1N4Pc99uZMvd9Tyk+HZWOI7MzA3UQbiCxFl8te8DdEb9qBpVgKb5+BI78/C6hT+tqyMW4dl4k1Io09eFl6XDOMTQhyfMnWMhioad3yExZXCilAPnltaxo+GZRCXkMvA/AwZiC9EGyBFWBti1G1HaVYaSt8lkH0lv/u4hIsK0+mXbictpxc5ia5ohyiEiAFGQxUKk8Dm2eh5V/GrD0r5TlE6vdLsdO/ShyQZiC9EmyDdKm2EGfJhmiGCZZ+B1cV9K9PISbRzde9UHDYLPXNyoh2iECJG6L7tRKo3YDTu4/51XchLcnNFUSLJCcnkp6VGOzwhxAHSE9ZGROrLwOImUPIGi8xzqW5U/GhEZ9AD9Oo+QAbiCyFOihlpwIwEaNg8l7WW4VQ2Orh1eD5xWpjCrsXRDk8IcYiY7wmrD+rc8MoK6kM6GfFOXpk0CHuMzSDfNH5jD5HaUkJ1O/jLvsncdVFnNGXQIzMFd3xatEMUQsQI3b8bI7CXYMUSXqj5GdPGdMapGfTIL8DmjI92eEKIQ8RWtXIUzy/byTX9svn0J+fSMyOet9ZVRjukVjMa9wGKHateZWGwmHFDe5Ea56STVyc5q7es5SaEOClKKQx/OdvXvsm6cFcuGjKU1DgHRckantSiaIcnhDhMzPeE3Ti0ALu1qUjRTYUjxnrBAPS6bZRX7SOu5gv2pN3PqNwkEpwWshLjsbrTox2eEKcsYhpMWfAqFY0+Bqbk8tTwq5u33bP0HZbvK8OqaTx/3kQ6e1OiGGn7YIZq2VNdjWX3B5Ql3US/rAQ6J1qJT0jG4pBeMBG72msuib2K5TBelw2X3coX22tYUFrN5b0yWmyfPn06RUVFLf61JWYkgD/gY8GCl9lFPqMHnovNCp0TTOxJPaQXTMS0OdvXMDA1lwWX3Y5fD7O0aicAq2t2sy8YYMFlt/PL/hfz+LpPoxvoSWjruQSgoWYbb82fQwg3/fpfSobXSZpLx5HcI9qhCfGttKdccqiYL8IAFm2r4a631vHG94dgO6wnbNq0aWzatKnFv7YkVFfGE5+VMoyFuHuMI2IqitLjsWoa1rjMaIcnxLeytGono7O6AjA2pweL924HoFdiBn86cCarKxOHpe3PWdXWc4kyIvzxg6UMUZ9jFFyFx+mgIMGGxZmExSkz44vY1p5yyaFivgjbXOXnrrfW8faNw2JuHi3TNHhl4TIad32B22GjMW00RekeHKoBW2JXtBj7MomO5/CeoenTp7fY7ouEiLc1LTTvsTnwR0IAOKw2Eh1uqoJ+7l/xHnf2HnXWY29vnvtsOZU7l5Ntq0HP+S+KMrxgBHAkF0Y7NCFOqKPmkpgfE/bYp6XUBSPc8PJKAO4c1YVr+mVHOaqT88HqTbyyYid/zF5GY+Zl5KckkOR2YIQC2OJlXjDR9p2oN8hrd+LXm5KlPxIiwf7NiVJlg49rPn6Bx4ddFVNjONqixduq+evHC3kifz0N3gvomZeHDQNs8VicidEOT4gT6qi5JOaLsL9cPCmuDQAAGhtJREFU3z/aIZySkr31PDZvPpfmBUlq3E6g4HfkJLgww35s3gI0qz3aIQrxrQ1Oy2NBZSkjMjrzScUWbio8B2gaZHvt/Bd5bOiVjDpwiUGcmkpfkEl/X8RN+UGyGldhHzqLOIcNI1iDI2NQtMMT4rRor7kk5ouwWLNoWw3rKn3MWLCR/u4wV3qXEvScS7e8AjRNw1Rh7N6CaIcpxGkxvnN/vv/ZPzh33nSKU7IJmTozNy4mwe5ii28fD676NwCjs7rx0MDvRDna2LJoWw2b9tbzxGdbKYyr5cqkNShnLzJy+6FMHYvdg80dW70CQhxLe80lUoSdRXe+uZbnl5YRMkyyqKRT1wiuqs/xjv4/rBYLZqQBqycH7cB1byFincNq47ULp7R47PysbgBM6ia9NKfqzjfX8sKyMkK6iWEaXNqtmviq+SQP/TkAKlKPPX1AlKMU4vRpr7kk5gfmx4pF22p4fmkZDREDwzTJse3DW/05YXc+3uwDXyAjiD2xS3QDFUK0aYu21fDCsjICYQPdVCRofjw1C1EWO3EFY1CmjmZ1YXVJL5gQbZ0UYWfJ5n1+DFMB4NUacBHiYvcSKlMuQ9M0lB7E4k7DYnNHOVIhRFu2ZV+gOZcA5Fn3cqFzGXuSv4NmsaHC9diSZY5BIWJBzF+ONMP17H1/CipcjyUunYxLX2qTg9orfUFChgk0Jc1ixxYcRIjrcgkAph7AlS6L6woRLbGSS3TTJKg35RI7EYY5N5BrraK261Uo00CzOmSlDSFiRMz3hNWvfxFP96vJvv5jHCk9aSh9O9ohHWHh1moe+3Qr3VNddHNUkeXwcZnnS3Z6x9A/LxNlhJsmVJRlRYSImljIJSV7/dz33td0SnbjslnIc9bzHc9yytznUNy5C2bEhy25UHrBhIgRMd8T5u3zA7A0na0qUwerI7oBHWZ9hY/xL63g3Fw7DwwJs2Wvm3gjgaLSnWSOeQIAU/fjyhwa5UiF6Njaei6p8AW5+Nkv6Jnh5YGLerDXHyJh7/v02fQ16aOeRSkTzWLDGie9YELEipgvwiwOLwDB3UsIln9G8oiHWmyfPn06M2bMiEJkUF7byNUvLGFIYjW/HGAnZMRzSU6A0PqXIa0ftvicplvJbR6ZUFGIKGvLuaSuMczYP39BitvBL8b2INNjYXRaPXV7FxJO6YkjrS9GcD+O1F5oWsxf4BCiw9CUUurET2vbgrsXU73gHjKvnHNSM80XFRWd8XXfagJhLpv5IflmKXeP7oxhjadb5V8Jb/8XGEGwOIjrdhUJfW/Enj4AW1zaGY1HiNPtbPyOzra2mEuCEYMLZi6mOhDmyat6k+/w0d2xi0j1OmoX/wpP0US8/W5GRQK48kZJESZiTnvMJScr5nvCIvs3U/3pT8n87lvYPG1juaJAMMhtf51DbricO8YOQNes9LRtpfFgAQZghmncOg937mhcBWOjG7AQok3mEsNUXPPiMsprgzx9RWdyw+vo7rHgX/dXGkrfATNCYOOrGI1VpF74f1KACRFjYv4XW7vij5ghH1XvTaHijYsIbHkrqvGE6qu4/28vUF9XwY8uHAiald6ZXmy+EpQZPuL5SkVkEK0QbUBbyyVKKab+YxUrdu5jxhgHBcY6ijLiMfw7adg6D8xI0/OMIMEd/0H3bY9qvEKI1ov5nrD0i/4c7RAAUEaY4L4NPPb+EpbuDvOLi/tit1ooSnNh2T4b35o/w1Eu/MrabkK0DW0llxx0z9vrWLhhA38+30aBC4py89HMMP4Nfwcj1PLJmgW9bivknhedYIUQpyTmi7C2QA/sIVK9nplLynl3S5j/GdsDr8NGd+s2Ip89SaixmqRh9xHet47GrfNA01BKEVc0HnfuudEOXwjRxvzxP1+xaNnHPDIyk7z0NAozEwnv/hzfiidRygCLAw7rWbcn9YhStEKIUyVF2Leg9BDh6vWYwRpeWVvPS6v389PRXciwB+lU/hfCZf8mrvs1JBTfhsXhJa7zpcR1uoRI/U6s7hQSin8U7UMQQrQhyojw2mcLeXfBIm4aXkSX7FSKPD58C39LaM8KvL2nEt9rEnWrpjed0AFoGvF9fogrZ0R0gxdCtJoUYadAKYXu30WkZhOazcX7W8PMWLyT24bn0Tv0OalbXsDqzSXl4r/iSO3V4rWO9GJsSV2weQvQLPL2CyGacooRqGTBykVM/3gL4wb1pG+mh877Xqdm4cs4s4aScdmr2OJzAUgaci/uThcT2b+JuK5X4JbLkELEJKkCWsnUGwlXrcWM1GNxJrF4ew2//WgzP+6rc37Vr3E27iRxwE+I63Y1msV6xOuVMlFGpDmZCiE6NjPsJ1y9njU7dvP/Piznyj5dGB1fQvrqZwmjSDnvYVy5o1q8RhkhbN583AUXYU/Ij1LkQohvS4qwk6SUie4rJ1JbgsUWh9WZzJqKOh761yr+N/9z+lR9hJYzlsyxj2N1px51H2bYB4AjrRitjc3GLYQ4u5QRIVJXiu4rY6tP4873y7miC1wfeRr3xhXE9ZqCt/f30Wyub16jTFSoFs2ZiCtnBBa7J4pHIIT4tqQIOwlm2E9431pMvRGLMxlN09ha7ecf/3qFp9Pewal5UUMfJ7fb0cdkmHojymjE7u2CLbGTXIYUogM7eOkxUvM1WGzsCXu46+2l/Dh9EecF3seRPpCUy17F5m3Zw2VG/GAa2NP6YY3LkKlthGgHpBo4DqVM9NptRHxbsdi9WJ1JAFRWbGHLR7/hNs82AvmTcPacSF7qkcsOKVPHDNVh9WRgTx6M5ZAzWiFEx3Pw0qMK+9Gciexv1Pm/N1/lUe8cEi0QP+RBEjuPaVFgKSOMGa7HlpCPPam7nMQJ0Y7Ir/kYlKkTqvgSZUawupouLyojxL7VLxDa+DKarTd7Bs0iI72AguS4lq9VJma4DostDlf2MFkXUogO7tBLjxaHF4srGd/+cpa+9xtud6zDl3MtSYNvISE+4ZvXKBMVqkOze5ouPTrio3gEQogzQYqwY1BmBNMIYnUmAxDc/QW1yx9nnz/IbONGLjrvKtISXHROjmtx1mqGfaAUjpTeWD1ZcslAiA7OjDQQqvgSLFas7lSUEaF23YvUrn0eu+rCzuIZFHfvQ4LbcchrAqB07KmSR4Roz6QIO4ZgxRIad/wHa1wmjds/ILjrMxZyMa81Xsi083uTGe+ia4qnOTmaehClN2BP6IwtsbNcMhBCABAs/4zGsk9xpPREGSFql/+BWn89LzfewLkjrmZQp5TmAkwZEcyID2t8Lo6kHmhWe5SjF0KcSVIpHMW+T+7Gv/5FlBEGpWNxp/Oy+3/5T0Uc917QjZwEF93SmgowZeqY4TqsrjTsmQOx2NzRDl8I0UY05xJlNK31qExWuy7j6bpR3DyyJ0MLkkmOc6CUwgzXHhjCMByLwxvt0IUQZ4EUYYcJ7l7clDT1hubHQo0+NvsquHPURXRKdtMj3YOGwgjVYrG6cWYOxepKimLUQoi25mi5RMfBnL1dmTysByM7J5PqcWJGAigzjD25CFt8rlx6FKIDkSLsMJHaLXBYEtRNxaSekJ4SR2F6POh+lDJxpPTC6smWpCmEOMLRcknEhHHdTPp3TyPdY8MIVmP1ZONILpS5A4XogKQIO4w9qTsh3eDQdGi1QFZmV7qn2FCh/di8BdiTusq4LyHEMdmTuoNSLR+zavTr1pMMRxBMp/SiC9HBWaIdQFuzItST2YExNJhOGk0HQdPBx41DCDqzsTnicOWeiyOlUAowIcRxuXJGstJ1JY2H5JKN9hFkZXfHntgdZ84IKcCE6OCkkjjMln0Bfu+/lXn+YZzvWkWlkUKp6kGCWcQ5mX2jHZ4QIkYs2lbD97d+j8Fad0Y611BppLJmf39S9T6MTMyOdnhCiDZAirDDdE9rWottVbgI0NiuZxOwpdE1Jye6gQkhYsqWfQE0YHW4kJBy8nWkE8qeyOYanZHdoh2dEKItiPnLkRHDZOJLKxj99CLuemvdt97fuV1S+OHQfOwONxvoh9+WwQ+HdmJk55TTEK0QoqM4eELnUx6WhntTr+JRQI90WXRbCNEk5nvC5qypYEBuAq9NGcxNr3/F0p37GVaQ/K32+adr+jFxYC6bqwL0SPdIASaEaLWDJ3QvLCtDAxRw49B8ySdCiGYxX4R9uXM/4/s3XSq8qEc6i7bXfOsiDGBk5xRJlkKIb0VO6IQQxxPzRZgvpBPvbDoMj8OKP2S02D59+nRmzJgRjdCEEO3IqeYSOaETQhxLzBdhXqcNf0gHwB/SSXC1PKRp06Yxbdq0Fo8VFRWdtfiEEO2D5BIhxOkW80XY0BwP4U9+wG5PPda6PM655E/RDkkIcUDENJiy4FUqGn0MTMnlqeFXN2/7/ZqPeWfnelKdHl45fxIJDlcUI21aPLvq31PRAxU4MwaSesETUY1HCPGNWMolrRHzd0de7vmSDZEujNvzG1yqkYHOLdEOSQhxwJztaxiYmsuCy27Hr4dZWrUTgF2BOhbu2cbiK+5kfJcBzNr0RZQjhcCWuTgyBpAz/hPMiJ9Q5bJohySEOCCWcklrxHwRZlQt54dXfI/F085j7OhxBHcvjnZIQogDllbtZHRWVwDG5vRg8d7tACzfV8Z5mV0AuCinB4v2bI9ShN8IVS7DlTsaAHf+GMklQrQhsZRLWiPmL0eaYR8WR9O8O5rdgxnxt9guA/OFiB5fJES8zQmAx+bAHwkd9fGAHopajAdJLhGi7YqlXNIaMV+EWexezHAAABXxY3EktNh+rMG0MqBWiG/v8N/RHXfc0eL35rU78R9Iiv5IiAS7q/nxXQ21TY/rIbz26I/hkFwiRPS0p1zSGjFfhDkzBxEsX4ArZziNZZ/i7XvjCV+zadOm424vKio64XPOlGi2He325djb37EPTstjQWUpIzI680nFFm4qPKfp8dQ8nt30Bf9TPJb5FVs4J73gtLfdWpJL2k/7cuzt79hjKZe0RsyPCfMUXk+4ajW7XxuFZrHhyj4n2iEJIQ4Y37k/X1Xv5tx507FZLIRMnZkbF5Mfn8SozK6cO286f9+8nNuKRkQ7VMklQrRhsZRLWiPme8I0q4OMy1+NdhhCiKNwWG28duGUFo+dn9W0evV9/cdyX/+x0QjrqCSXCNF2xVIuaY2Y7wkTQgghhIhF1oceeuihaAfRFp1zTvQuRUSz7Wi3L8cePdFuv72S71THazva7XfkY481mlJKRTsIIYQQQoiORi5HCiGEEEJEgRRhh4hEItx9993ccMMN/Pa3v/1W+/L7/dx2221MnjyZO++8k/r6es477zymTJnClClTqKqqoqKigkmTJjFhwgTefvttADZs2MCECRMYP348X3zRtPzCwoULuf7665k4cWLzrb9vvfUW48aNY8qUKVRWVh41hrFjxza3t3TpUm666SYmTpzIX/7yF4Az1v6zzz7b3O7w4cOZMWMGY8aMaX7s27Yza9Ysxo8fz2233Ybf33JCTYBHHnmETz75hPr6+jN+zIfHcrDtyspKpk6dyg033MDBK/4bN2484+/Docd+pr9vJ/ocOrL2lEuilUdAconkkg5AiWbz5s1Ts2bNUkopdd9996nVq1ef8r5efPFF9cYbbyillHrqqafU9OnT1ZNPPtniOQ888IBatWqVCoVCasKECSoUCqlbbrlFVVRUKJ/Pp773ve8ppZSaMGGC8vv9qqysTN12223Nz49EImrZsmXqwQcfPKL9yspKde+99zb/f9asWWrevHnKNE114403qj179pzR9pVSqry8XE2dOlW9/fbb6vXXX2+x7VTbqaysVLfccotSSqk333xTPfvss837NAxD/fd//7e68MIL1fz588/4MR8ay5w5c9TVV1/d3PbDDz+sFi9erJRS6uc//7lavXr1GX0fZs2a1eLYly9ffka/b8f7HET7ySVtIY8oJblEckn7JT1hh1i9ejVDhw4FYOTIkaxcufKU93Xddddx5ZVXAmAYBl6vlyVLljBp0iRmzZoFNJ3N9O/fH4fDQWFhIVu2bGH//v1kZWXh9Xpxu93s2rULj8eDx+MhLy+Pqqoqtm7dSmFhITabjcGDB7N+/foj2t+0aROlpaVMmjSJhx9+uPnYNE1j2LBhrF69+oy2D/DMM89w5513UlJSwrx587jhhhuYPXs2wCm3s3btWgYPHnzUz8g0TS6//HKuueaaFp/nmTrmQ2MZPnw4dru9ue2f/OQnzd8lwzBwOBxn9H1YsWJFi2MvKSk5o9+3430Oov3kkraQR0ByieSS9kuKsEP4/X7i4uIAcLvdBAKBU95XfHw8TqeTVatWsXTpUrp37869997LSy+9xNq1a/nqq68wTRNN05rba2hoQB1yn4Tb7cZisTTHdLQ4NU3DNM0j2k9OTuaOO+7glVdeAeCjjz464tjOZPvBYJDdu3czaNAgevfuzQMPPMCLL77InDlzqKysPOV2Dn0sLi6OhoaG5ufbbDZGjx591NefiWM+9LGEhATcbnfz85OSkrDZbHz44Yc0NDTQs2fPM/o+BIPBFsdeUFBwRr9vx/scRPvJJdHOIyC5RHJJ+xbzk7WeTh6Pp/kL0NDQQHx8/Lfa34oVK/jd737HM888g9frxeVyYbFYGDlyJFu2bMFi+aYGPtjewS82QGNjI6ZptvhSWiyWFnEqpbDZjvwYCwsL6dmzJwDnnXceZWVlzW00NDSQk5NzRtv/9NNPOf/88wEYPXp083s5aNAgtm3bdsrtxMfHs2fPHgACgcBxP6ODrz9Tx3yiWD788ENeeuklZs6cedbfh4EDB57R71trPoeOqL3kkmjnEZBcApJL2jPpCTtE3759Wbp0KQBLliyhf//+p7yv7du38/DDDzNz5kwyMzN5/PHHWbBgAQArV66kqKiIHj16sGrVKiKRCJs2baJr164kJCRQUVFBfX09gUCA3Nxc6uvr8fv9lJeXk5ycTNeuXdm4cSORSIQVK1YcdQHhl19+mX/+85/N7RUXF7N06VKUUixbtox+/fqd0fa//PLL5vfvnnvuoaSkBNM0WbduHd26dTvldvr06cOyZctO6jM6+HmeqWM+XizLly/nb3/7GzNnzmxOKmfzfTjT37fWfA4dUXvJJdHOIyC5RHJJO3d2hp7FhlAopO666y41fvx49cADD3yrfd1///3qoosuUpMnT1aTJ09Wb775ppo8ebK64YYb1FNPPaWUahpsOnnyZHXNNdeo2bNnK6WUWr9+vRo/fry65ppr1IIFC5RSSn322Wdq3Lhx6tprr1Xr1q1TSik1d+5cNW7cODVhwgRVXl5+RPv19fXq5ptvVpMnT1YPPPCAqqmpUTfffLO67rrr1DPPPHPG27/55ptVZWWlUkqpr7/+Wk2YMEFNnDhR/eMf//jW7cycOVONHz9eTZ06VdXV1R3R9p/+9Cc1f/58VVtbe8aP+fBYDrb9gx/8QF1++eXNn//KlSvPyvtwsP2Kiooz/n070efQkbWXXBLtPKKU5BLJJe2bTNYqhBBCCBEFcjlSCCGEECIKpAgTQgghhIgCKcKEEEIIIaJAijAhhBBCiCiQIkwIIYQQIgqkCBMn9OWXX3LOOedQU1PT/NiUKVMoLy8/6X3MnTuX6dOnH3P7T3/60xb/Ly8vb16Y9lSNGTPmpJ53OtoSQpyY5BIhWpIiTJwUTdP4zW9+c8b2/+STT56xfQsh2g7JJUJ8Q5YtEiflggsuoKqqivnz57c4K5w+fTq5ublce+21zJ07l127djFt2jSeeuopPv/8c3Rd56677mqxr0cffZTVq1djmiZ33XUXI0aMYMyYMcyfP/+obc+ZM4dXX30Vi8XCxRdfzK233sqGDRt47LHHMAyDxsZGnnrqKbKzs7nvvvvYuXMnXbt2bX79xo0befjhh1FKkZOTw8MPP0woFOKee+4hEAiQmZl5Zt40IcQRJJcI8Q0pwsRJ+/Wvf81NN93E0KFDj/u8g4u8zp49G5/Px8svv0x2djYACxYsoLa2lldffZW6ujomT57Mu+++e8x91dTU8PzzzzN37lxsNhtTp05l9OjRlJaW8tBDD9G5c2eefvppFixYQGpqKg6Hg9dee42NGzeyZMkSAB588EH+8Ic/UFBQwIwZM5gzZw6BQIABAwbw4x//mI8++oi//e1vp++NEkIcl+QSIZpIESZOWm5uLpMmTeKxxx476vaDiy/s3LmTfv36oWkaiYmJ3H777cydOxeAkpISVq5c2TxuIhwOtxgfcrjy8nIKCwtxOp0A9O/fn9LSUjIyMnjiiSdwu93s2bOHCy64gO3bt9O3b18AevbsSVxcHABbt27l/vvvByAYDDJy5Ehqamq45JJLgKYFcCVxCnH2SC4RoomMCROtMmnSJEpLSykpKQHA6XSyb98+AL7++msAunTpwoYNGwDw+Xz86Ec/an59ly5dGDVqFC+99BLPPfcc//Vf/0ViYuIx28vLy2PLli2Ew2FM02TNmjUUFBTwyCOPcP/99/Poo4+SlpbWvO+vvvoKaEqWDQ0NAHTt2pUnnniCl156iTvuuIPhw4e3eO769etP51skhDgJkkuEkJ4w0UoWi4Xf/va3XH311QBceuml3HnnnSxatIjs7GwSExPp3bs3AwcOZOLEiZimyR133NGcXMeOHcuSJUuYPHky9fX1TJw4EavVesz2UlJS+MEPfsCkSZMwTZMLL7yQfv36ccUVVzB16lSSkpJITk5m7969fP/732fhwoVMmDCBLl264PF4ALj//vv52c9+RiQSIS4ujscee4wBAwbw85//nEmTJtGpU6cz/8YJIVqQXCIEyALeQgghhBBRIJcjhRBCCCGiQIowIYQQQogokCJMCCGEECIKpAgTQgghhIgCKcKEEEIIIaJAijAhhBBCiCiQIkwIIYQQIgqkCBNCCCGEiIL/D2Xh3JhjrymnAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# # # Plot posterior \n",
"fig, axis = plt.subplots(1, 2, figsize=(2 * 4, 4), sharey=True, sharex=True)\n",
"fig.suptitle(\n",
" \"Nuclei loading counts modeled as output of a ZeroInflatedNegativeBinomial function\",\n",
" fontsize=16)\n",
"axis2 = [ax.twinx() for ax in axis]\n",
"axis3 = [ax.twinx() for ax in axis2]\n",
"# axis[0].get_shared_y_axes().join(axis[1])\n",
"for i, method in enumerate([\"mcmc\", \"vi\"]):\n",
" axis[i].set_title(\"\\n\" + method.upper(), fontsize=14)\n",
" axis[i].plot(\n",
" zinb_res.index,\n",
" zinb_res[f'mu_mean_{method}'],\n",
" color=colors[0], marker='o')\n",
" axis[i].fill_between(\n",
" zinb_res.index,\n",
" zinb_res[f'mu_mean_{method}'] - zinb_res[f'mu_std_{method}'],\n",
" zinb_res[f'mu_mean_{method}'] + zinb_res[f'mu_std_{method}'],\n",
" color=colors[0], alpha=0.2)\n",
" axis[i].tick_params(axis='y', labelcolor=colors[0])\n",
"\n",
" axis2[i].plot(\n",
" zinb_res.index,\n",
" zinb_res[f'alpha_mean_{method}'],\n",
" color=colors[1], marker='o')\n",
" axis2[i].fill_between(\n",
" zinb_res.index,\n",
" zinb_res[f'alpha_mean_{method}'] - zinb_res[f'alpha_std_{method}'],\n",
" zinb_res[f'alpha_mean_{method}'] + zinb_res[f'alpha_std_{method}'],\n",
" color=colors[1], alpha=0.2)\n",
" axis2[i].tick_params(axis='y', labelcolor=colors[1])\n",
"\n",
" axis3[i].plot(\n",
" zinb_res.index,\n",
" zinb_res[f'psi_mean_{method}'],\n",
" color=colors[2], marker='o')\n",
" axis3[i].fill_between(\n",
" zinb_res.index,\n",
" zinb_res[f'psi_mean_{method}'] - zinb_res[f'psi_std_{method}'],\n",
" zinb_res[f'psi_mean_{method}'] + zinb_res[f'psi_std_{method}'],\n",
" color=colors[2], alpha=0.2)\n",
" axis3[i].tick_params(axis='y', labelcolor=colors[2])\n",
"\n",
" axis[i].set_xlabel(\"Nuclei loaded\")\n",
" axis[i].set_ylabel(r\"$\\mu$\", color=colors[0])\n",
" axis2[i].set_ylabel(r\"$\\alpha$\", color=colors[1])\n",
" axis3[i].set_ylabel(r\"$\\psi$\", color=colors[2])\n",
"\n",
" axis3[i].set_ylim(0, 1)\n",
"fig.tight_layout()\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.ZINB_params.svg\",\n",
" dpi=300, bbox_inches=\"tight\", tight_layout=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Okay!\n",
"\n",
"This time VI and MCMC still roughly agree. The estimate of $\\mu$ continues to increase, similar to the $\\lambda$ parameter in the ZIP model.\n",
"\n",
"The dispersion parameter $\\alpha$ is however much harder to estimate. It is however often both larger than $\\mu$ and increasing with nuclei loading which are the properties we expect from it.\n",
"\n",
"I will again use MCMC over VI for the ZINB model posterior parameter estimates."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1.16834092] 0.8567637198540723\n"
]
},
{
"data": {
"text/plain": [
"Text(0, 0.5, '$\\\\alpha$')"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Analogously, we can again see the mean/variance relashionship on the posterior\n",
"lm_zinb = LinearRegression()\n",
"lm_zinb.fit(\n",
" zinb_res['mu_mean_mcmc'].values.reshape((-1, 1)),\n",
" zinb_res['alpha_mean_mcmc'].values)\n",
"print(lm_zinb.coef_, lm_zinb.intercept_)\n",
"\n",
"fig, axis = plt.subplots(1, 1, figsize=(4, 4))\n",
"axis.scatter(zinb_res['mu_mean_mcmc'], zinb_res['alpha_mean_mcmc'])\n",
"x = np.linspace(zinb_res['mu_mean_mcmc'].min(), zinb_res['mu_mean_mcmc'].max())\n",
"axis.plot(x, lm_zinb.predict(x.reshape((-1, 1))), linestyle='--', color=\"grey\")\n",
"axis.set_title(\"ZINB posterior\")\n",
"axis.set_xlabel(r\"$\\mu$\")\n",
"axis.set_ylabel(r\"$\\alpha$\")"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"# # So first we interpolate over a range of loading concentrations and get the parameter values\n",
"# interpolation_type = \"slinear\"\n",
"interpolation_type = \"quadratic\"\n",
"zinb_mu_f = scipy.interpolate.interp1d(\n",
" zinb_res.index, zinb_res['mu_mean_mcmc'],\n",
" kind=interpolation_type, fill_value=\"extrapolate\")\n",
"zinb_alpha_f = scipy.interpolate.interp1d(\n",
" zinb_res.index, zinb_res['alpha_mean_mcmc'],\n",
" kind=interpolation_type, fill_value=\"extrapolate\")\n",
"zinb_psi_f = scipy.interpolate.interp1d(\n",
" zinb_res.index, zinb_res['psi_mean_mcmc'],\n",
" kind=interpolation_type, fill_value=\"extrapolate\")"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"# Now generate across range\n",
"x = np.linspace(1000, zinb_res.index.max())\n",
"zinb_mu_y = zinb_mu_f(x)\n",
"zinb_alpha_y = zinb_alpha_f(x)\n",
"zinb_psi_y = zinb_psi_f(x)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"# # With linear regression\n",
"# zinb_mu_f = LinearRegression()\n",
"# zinb_mu_f.fit(zinb_res.index.values.reshape((-1, 1)), zinb_res['mu_mean_mcmc'].values)\n",
"# zinb_alpha_f = LinearRegression()\n",
"# zinb_alpha_f.fit(zinb_res.index.values.reshape((-1, 1)), zinb_res['alpha_mean_mcmc'].values)\n",
"# zinb_psi_f = LinearRegression()\n",
"# zinb_psi_f.fit(zinb_res.index.values.reshape((-1, 1)), zinb_res['psi_mean_mcmc'].values)\n",
"# x = np.linspace(1000, zinb_res.index.max()).reshape((-1, 1))\n",
"# zinb_mu_y = zinb_mu_f.predict(x)\n",
"# zinb_alpha_y = zinb_alpha_f.predict(x)\n",
"# zinb_psi_y = zinb_psi_f.predict(x)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# # # Plot estimated lamba\n",
"fig, axis = plt.subplots(figsize=(5, 5))\n",
"axis.plot(\n",
" zinb_res.index, zinb_res['mu_mean_mcmc'],\n",
" color=colors[0], marker=\"o\", linestyle=\"--\")\n",
"axis.plot(x, zinb_mu_y, color=colors[0], linestyle=\"-\")\n",
"axis.tick_params(axis='y', labelcolor=colors[0])\n",
"axis2 = axis.twinx()\n",
"axis2.plot(\n",
" zinb_res.index, zinb_res['alpha_mean_mcmc'],\n",
" color=colors[1], marker=\"o\", linestyle=\"--\")\n",
"axis2.plot(x, zinb_alpha_y, color=colors[1], linestyle=\"-\")\n",
"axis2.tick_params(axis='y', labelcolor=colors[1])\n",
"axis3 = axis.twinx()\n",
"axis3.plot(\n",
" zinb_res.index, zinb_res['psi_mean_mcmc'],\n",
" color=colors[2], marker=\"o\", linestyle=\"--\")\n",
"axis3.plot(x, zinb_psi_y, color=colors[2], linestyle=\"-\")\n",
"axis3.tick_params(axis='y', labelcolor=colors[2])\n",
"\n",
"axis.set_xlabel(\"Nuclei loaded\")\n",
"axis.set_ylabel(r\"$\\mu$\", color=colors[0])\n",
"axis2.set_ylabel(r\"$\\alpha$\", color=colors[1])\n",
"axis3.set_ylabel(r\"$\\psi$\", color=colors[2])\n",
"# axis2.set_ylim(0, 1)\n",
"axis3.set_ylim(0, 1)\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.ZIP_params.interpolated.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" mu alpha psi doublet_rate\n",
"barcodes loaded_nuclei \n",
"1 1.000000e+03 0.158251 1.277566 0.822348 0.01443\n",
" 2.448437e+03 0.167693 1.272095 0.823231 0.01562\n",
" 5.994843e+03 0.190887 1.259394 0.825384 0.01966\n",
" 1.467799e+04 0.248130 1.232400 0.830612 0.03082\n",
" 3.593814e+04 0.391010 1.190056 0.843153 0.06518\n",
" 8.799225e+04 0.757174 1.223013 0.872304 0.16042\n",
" 2.154435e+05 1.751603 2.266193 0.934359 0.42690\n",
" 5.274997e+05 4.239832 7.305513 0.980458 0.85256\n",
" 1.291550e+06 8.670790 10.626222 0.895200 0.88619\n",
" 3.162278e+06 16.992353 22.653441 1.000000 0.99999\n",
"96 1.000000e+03 0.151810 1.281400 0.821745 0.01301\n",
" 2.448437e+03 0.151908 1.281341 0.821754 0.01298\n",
" 5.994843e+03 0.152149 1.281197 0.821776 0.01380\n",
" 1.467799e+04 0.152737 1.280844 0.821832 0.01381\n",
" 3.593814e+04 0.154178 1.279981 0.821967 0.01309\n",
" 8.799225e+04 0.157708 1.277887 0.822298 0.01408\n",
" 2.154435e+05 0.166360 1.272856 0.823106 0.01590\n",
" 5.274997e+05 0.187610 1.261125 0.825081 0.01962\n",
" 1.291550e+06 0.240019 1.235858 0.829878 0.03051\n",
" 3.162278e+06 0.370629 1.194033 0.841407 0.05950\n",
"384 1.000000e+03 0.151759 1.281431 0.821740 0.01371\n",
" 2.448437e+03 0.151784 1.281416 0.821742 0.01361\n",
" 5.994843e+03 0.151844 1.281380 0.821748 0.01289\n",
" 1.467799e+04 0.151991 1.281292 0.821762 0.01295\n",
" 3.593814e+04 0.152351 1.281075 0.821795 0.01351\n",
" 8.799225e+04 0.153233 1.280546 0.821878 0.01335\n",
" 2.154435e+05 0.155393 1.279257 0.822081 0.01346\n",
" 5.274997e+05 0.160685 1.276139 0.822576 0.01425\n",
" 1.291550e+06 0.173666 1.268723 0.823787 0.01643\n",
" 3.162278e+06 0.205594 1.251875 0.826738 0.02256\n",
"1536 1.000000e+03 0.151747 1.281439 0.821739 0.01375\n",
" 2.448437e+03 0.151753 1.281435 0.821739 0.01329\n",
" 5.994843e+03 0.151768 1.281426 0.821741 0.01269\n",
" 1.467799e+04 0.151805 1.281404 0.821744 0.01262\n",
" 3.593814e+04 0.151895 1.281350 0.821753 0.01341\n",
" 8.799225e+04 0.152115 1.281217 0.821773 0.01273\n",
" 2.154435e+05 0.152655 1.280893 0.821824 0.01339\n",
" 5.274997e+05 0.153977 1.280101 0.821948 0.01384\n",
" 1.291550e+06 0.157214 1.278178 0.822251 0.01409\n",
" 3.162278e+06 0.165151 1.273550 0.822993 0.01509\n"
]
}
],
"source": [
"import sys\n",
"# # Now we sample across the X\n",
"# x = np.linspace(zinb_res.index.min(), zinb_res.index.max(), 10)\n",
"# x = np.linspace(zinb_res.index.min(), zinb_res.index.max() * 4, 10)\n",
"x = np.logspace(3, 6.5, num=10, base=10)\n",
"n = int(1e5)\n",
"f = dict()\n",
"barcode_combos = [1, 96, 96 * 4, 96 * 16]\n",
"for barcodes in barcode_combos:\n",
" for input_nuclei in x:\n",
" psi = zinb_psi_f([input_nuclei / barcodes])[0]\n",
" # bounding PSI to [0, 1] since the extrapolation is unbounded\n",
" psi = min(psi, 1 - sys.float_info.epsilon)\n",
" psi = max(psi, 0 + sys.float_info.epsilon)\n",
" # alpha = zinb_alpha_f([input_nuclei / barcodes])[0]\n",
" # ALPHA should also be bound to [0, +inf] since the extrapolation is unbounded.\n",
" # However, it's a bit more tricky then to set it to and arbitrary low value\n",
" # (e.g. sys.float_info.epsilon). Instead I regularize it with a ReLU function.\n",
" alpha = np.log(1 + np.e ** zinb_alpha_f([input_nuclei / barcodes])[0])\n",
" mu = zinb_mu_f([input_nuclei / barcodes])[0]\n",
" try:\n",
" s = (\n",
" pm.distributions\n",
" .ZeroInflatedNegativeBinomial\n",
" .dist(psi=psi, mu=mu, alpha=alpha).random(size=n))\n",
" except ValueError:\n",
" print(f\"Failed at {barcodes}, {int(input_nuclei)} \"\n",
" f\"with parameters: {mu:.2f}, {alpha:.2f}, {psi:.2f}\")\n",
" continue\n",
" if s.sum() == 0:\n",
" continue\n",
" # Now we simply count fraction of doublets\n",
" f[(barcodes, input_nuclei)] = [mu, alpha, psi, (s > 1).sum() / n]\n",
"f = pd.DataFrame(f, index=[\"mu\", \"alpha\", \"psi\", \"doublet_rate\"]).T\n",
"f.index.names = ['barcodes', 'loaded_nuclei']\n",
"print(f)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axis = plt.subplots(1, 1, figsize=(1 * 5, 5))\n",
"fig.suptitle(\"Prediction with Zero Inflated Negative Binomial\", fontsize=16)\n",
"for barcodes in f.index.levels[0]:\n",
" axis.plot(\n",
" f.loc[barcodes].index, f.loc[barcodes, 'doublet_rate'] * 100,\n",
" linestyle=\"-\", marker=\"o\", label=f\"{barcodes} round1 barcodes\")\n",
"axis.set_xscale(\"log\")\n",
"axis.set_yscale(\"log\")\n",
"axis.set_xlabel(\"Nuclei loaded\")\n",
"axis.set_ylabel(\"% collisions\")\n",
"axis.legend()\n",
"for x_ in [100, 10, 5, 1]:\n",
" axis.axhline(x_, color=\"grey\", linestyle=\"--\")\n",
"for y_ in [10500, 191000, 383000, 765000, 1530000]:\n",
" axis.axvline(y_, color=\"grey\", linestyle=\"--\")\n",
"if savefig:\n",
" fig.savefig(\n",
" \"droplet_counts.ZINB_params.prediction_of_doublet_rate.svg\",\n",
" dpi=300, bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ZINB model also seems to show that the $\\mu$ parameter is more or less linear in the observed range (this is important for scalability) and that it would be theoretically possible to load up to ~1 million pre-labeled nuclei with the scifi method into the Chromium device."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Model comparison\n",
"It seems the ZINB model largely agrees with the ZIP. Can we quantify which one \"performs better\" ideally taking into account the differences between model complexity?\n",
"\n",
"## WAIC\n",
"\n",
"There are various ways. One option is to use for example the Watanabe–Akaike information criterion (WAIC) and associated metrics. For more information on the practical interpretation of these metrics see for example the PyMC3 tutorial pages on the subejct here: https://docs.pymc.io/notebooks/model_comparison.html#Widely-applicable-Information-Criterion-(WAIC)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/afr/.local/lib/python3.7/site-packages/arviz/stats/stats.py:1126: UserWarning: For one or more samples the posterior variance of the log predictive densities exceeds 0.4. This could be indication of WAIC starting to fail. \n",
"See http://arxiv.org/abs/1507.04544 for details\n",
" \"For one or more samples the posterior variance of the log predictive \"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ZIP model WAIC: 11379.860\n",
"ZINB model WAIC: 11483.723\n"
]
}
],
"source": [
"zip_waic = pm.waic(zip_trace, zip_model)\n",
"zinb_waic = pm.waic(zinb_trace, zinb_model)\n",
"\n",
"print(f\"ZIP model WAIC: {zip_waic.waic:.3f}\")\n",
"print(f\"ZINB model WAIC: {zinb_waic.waic:.3f}\")"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" rank waic p_waic d_waic weight se dse warning \\\n",
"ZIP 0 11379.9 11.8109 0 0.997478 131.318 0 True \n",
"ZINB 1 11483.7 9.6716 103.863 0.00252247 116.791 35.0087 True \n",
"\n",
" waic_scale \n",
"ZIP deviance \n",
"ZINB deviance \n"
]
}
],
"source": [
"if pm.__version__ == \"3.8\":\n",
" df_comp_WAIC = pm.compare({\"ZIP\": zip_trace, \"ZINB\": zinb_trace}, ic=\"WAIC\")\n",
"elif pm.__version__.split('.')[1] < '8':\n",
" df_comp_WAIC = pm.compare({zip_model: zip_trace, zinb_model: zinb_trace}, ic=\"WAIC\")\n",
" df_comp_WAIC.index = (\n",
" df_comp_WAIC.index\n",
" .to_series()\n",
" .replace(0, 'ZIP')\n",
" .replace(1, 'ZINB'))\n",
"else:\n",
" ValueError(\"Please install PYMC3 version 3.6 or 3.8.\")\n",
"\n",
"if savefig:\n",
" df_comp_WAIC.to_csv(\"droplet_counts.WAIC_comparison.csv\")\n",
"print(df_comp_WAIC)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.compareplot(df_comp_WAIC)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Leave one out cross-validation\n"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ZIP model LOO: 11379.856\n",
"ZINB model LOO: 11483.727\n"
]
}
],
"source": [
"zip_loo = pm.loo(zip_trace, zip_model)\n",
"zinb_loo = pm.loo(zinb_trace, zinb_model)\n",
"\n",
"print(f\"ZIP model LOO: {zip_loo.loo:.3f}\")\n",
"print(f\"ZINB model LOO: {zinb_loo.loo:.3f}\")"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" rank loo p_loo d_loo weight se dse warning \\\n",
"ZIP 0 11379.9 11.8087 0 0.996112 126.292 0 False \n",
"ZINB 1 11483.7 9.67338 103.871 0.00388844 112.788 35.007 False \n",
"\n",
" loo_scale \n",
"ZIP deviance \n",
"ZINB deviance \n"
]
}
],
"source": [
"if pm.__version__ == \"3.8\":\n",
" df_comp_LOO = pm.compare({\"ZIP\": zip_trace, \"ZINB\": zinb_trace}, ic=\"LOO\")\n",
"elif pm.__version__.split('.')[1] < '8':\n",
" df_comp_LOO = pm.compare({zip_model: zip_trace, zinb_model: zinb_trace}, ic=\"LOO\")\n",
" df_comp_LOO.index = (\n",
" df_comp_LOO.index\n",
" .to_series()\n",
" .replace(0, 'ZIP')\n",
" .replace(1, 'ZINB'))\n",
"else:\n",
" ValueError(\"Please install PYMC3 version 3.6 or 3.8.\")\n",
"if savefig:\n",
" df_comp_LOO.to_csv(\"droplet_counts.LOO_comparison.csv\")\n",
"print(df_comp_LOO)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.compareplot(df_comp_LOO)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The tables and plots the above show that the ZIP model is substancially b a better choice than the ZINB regarding a balance between model complexity (overfitting) and model performance (underfitting).\n",
"\n",
"The outcome of this model helps to demonstrate how the Chromium device can be loaded beyond the recommended by 10X as long as one can pre-label the nuclei with enough complexity."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Conclusion\n",
"\n",
"Both models show that the mean number of nuclei per droplet ($\\lambda$ or $\\mu$ parameters in ZIP or ZINB models respectively) increases mostly linearly within the observed range. This means that there is great room for \"overloading\" the Chromium device if collision events are handled.\n",
"\n",
"That's exactly what the *scifi* concept introduces: by labeling all molecules of the transcriptome of each cell, one is able to reduce the number of colisions linearly by the number of unique round1 combinations. Modeling the nuclei loading procedure on the Chromium device shows that it is theoretically possible to load up to ~1 million pre-labeled nuclei with the scifi method into the Chromium device with an acceptable collision rate.\n"
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"# Appendix\n",
"\n",
"Some technical considerations:\n",
"- On the zero inflation:\n",
" - Please don't confuse what I model here as a zero inflation component as the zero inflation in transcript detection in single cell RNA-seq. Various people in the field have recently argued that there is no zero inflation at the transcriptome level, but simply low sensitivity overal in transcript capture - this is still well captured by a Negative Binomial model. The zero inflation observed by optically counting the cells in the droplet emulsion has nothing to do with that. It is also distinct in that while it is hard to prove in lower nuclei loading concentrations, it is clearly visible and distinct from the Poisson-like distribution of cells per droplet. Having said that, the zero inflation in the observed data might not even be a problem at all as it could easily be a design choice by 10X in order to ensure that most cells/nuclei are used at a point where the device is ready to make use of mostly useful droplets.\n",
"- On the inter/extrapolation across the model's posterior:\n",
" - This obviously feels wrong and not just because the quadratic fit is obviously... overfiting. Using a probabilistic model and then using only point-estimates to get estimates for the remaining input space is not what I would ideally like to do. If someone has better suggestions, feel free to comment."
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