From 46fc4221157f75f8dde9c67529a8f2e52750c84e Mon Sep 17 00:00:00 2001
From: Paul Liu <paul.liu@stanford.edu>
Date: Fri, 29 Apr 2022 01:32:15 +0000
Subject: [PATCH 1/6] In progress work on CodeChef pre-exec tasks.

---
 scripts/notebooks/codechef-experiments.ipynb | 469 +++++++++++++++++++
 1 file changed, 469 insertions(+)
 create mode 100644 scripts/notebooks/codechef-experiments.ipynb

diff --git a/scripts/notebooks/codechef-experiments.ipynb b/scripts/notebooks/codechef-experiments.ipynb
new file mode 100644
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+++ b/scripts/notebooks/codechef-experiments.ipynb
@@ -0,0 +1,469 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "0998fc89-b4ac-4100-b963-6f80d226ce1b",
+   "metadata": {},
+   "source": [
+    "# Comparative study of EloMMR vs. The CodeChef Rating Sytem"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ba515b61-ed9a-4e01-bf3c-c5daa674c9b9",
+   "metadata": {},
+   "source": [
+    "In this notebook, we look at the EloMMR vs. CodeChef Rating System across the history of CodeChef contests. As detailed in our [paper](https://github.com/EbTech/Elo-MMR/tree/master/paper), EloMMR is a robust, statiscally principled rating system for massive multiplayer contests. We developed this system primarily with coding competitions in mind, and have done extensive comparisons with the TopCoder and CodeChef rating systems. The main benefits of EloMMR are:\n",
+    "- Speed and accuracy. EloMMR is at least an order of magnitude (typically more) faster than existing rating systems, and more accurate as well.\n",
+    "- Incentive-compatibility. EloMMR does not incentivize players to perform less than their best (unlike TopCoder and CodeChef, which can be attacked through so-called \"volatility farming\" attacks).\n",
+    "- Transparency. The entire codebase is open-source, and can be found [here](https://github.com/EbTech/Elo-MMR).\n",
+    "\n",
+    "At the present moment, EloMMR has been implemented in production at [dmoj.ca](dmoj.ca), a contest system used primarily by Canadian competitive programmers. Our goal with this notebook will be to verify the above benefits on the CodeChef contest data, and to inform a transition from the CodeChef rating system to EloMMR. "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "ba9c365e-8724-4a22-b7c1-f5fcc9ddad06",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import os\n",
+    "import pandas as pd\n",
+    "from tqdm.notebook import tqdm"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d204cbd1-fdcb-49f2-b7a7-43c3fb1a3a31",
+   "metadata": {},
+   "source": [
+    "First, we do some data cleaning / preprocessing. The code below will read the following:\n",
+    "- All CodeChef contests since it's inception\n",
+    "- Monthly checkpoints of CodeChef ratings\n",
+    "- Monthly checkpoints of EloMMR ratings\n",
+    "- Various metadata (contest times, CodeChef numerical handles, etc.)\n",
+    "\n",
+    "The monthly checkpoints were computed from our rust codebase using the `codechef_checkpoints.rs` file. The entire CodeChef history of 667 contests (at the time of writing) took approximately 27 seconds to complete using our `mmr-fast` algorithm."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 167,
+   "id": "3fb6a0be-393c-4a13-a8a6-f1c240182814",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "4928f8100f824be5a005935e47c70134",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "  0%|          | 0/689 [00:00<?, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from collections import defaultdict, Counter\n",
+    "import json\n",
+    "\n",
+    "# Read in mappings of ids to username\n",
+    "root_dir = '/home/work_space/elommr-data'\n",
+    "user_csv = pd.read_csv(f'{root_dir}/user_ids_usernames_mapping.csv')\n",
+    "\n",
+    "# For some reason user 33713 is not known\n",
+    "user_map = defaultdict(lambda: 'unknown_user')\n",
+    "userid_map = defaultdict(lambda: -1)\n",
+    "for userid, username in zip(user_csv.userid, user_csv.username):\n",
+    "    user_map[userid] = username\n",
+    "    userid_map[username] = userid\n",
+    "    \n",
+    "# Read in Codechef ranklist + our ranking system\n",
+    "codechef_dir = f'{root_dir}/ratings'\n",
+    "elommr_dir = f'{root_dir}/elommr-checkpoints/codechef'\n",
+    "\n",
+    "# Set of contest names that are checkpointed\n",
+    "checkpoint_contests = set([contest[:-4] for contest in os.listdir(codechef_dir) if contest[-4:] == '.csv'])\n",
+    "\n",
+    "# Get contest ids corresponding to these contest names\n",
+    "raw_contests = f'{root_dir}/var/www/elo_mmr/current/cache/codechef'\n",
+    "name_to_id, id_to_name, name_to_time = {}, {}, {}\n",
+    "all_contests = [contest for contest in os.listdir(raw_contests) if contest[-5:] == '.json']\n",
+    "all_contests = sorted(all_contests, key=lambda x: int(x[:-5]))\n",
+    "\n",
+    "# Go through history of contests and get number of contests participated in by each user\n",
+    "# Also compute some mappings of contest names to contest ids\n",
+    "num_contests = Counter()\n",
+    "for contest in tqdm(all_contests):\n",
+    "    ranks = json.load(open(f'{raw_contests}/{contest}'))\n",
+    "    cid = int(contest[:-5])\n",
+    "    contest_name = ranks['name']\n",
+    "    \n",
+    "    name_to_id[ranks['name']] = cid\n",
+    "    id_to_name[cid] = contest_name\n",
+    "    name_to_time[contest_name] = ranks['time_seconds']\n",
+    "    \n",
+    "    num_contests.update([user_map[int(r[0])] for r in ranks['standings']])\n",
+    "    if contest_name in checkpoint_contests:\n",
+    "        # Save number of contests participated in by each user\n",
+    "        df = pd.DataFrame(data={'username': list(num_contests.keys()), 'num_contests': list(num_contests.values())})\n",
+    "        df.to_csv(f'{root_dir}/elommr-checkpoints/codechef/{contest_name}_numcontests.csv')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "abd174c3-5de8-4811-aabe-f60ab5e88fd0",
+   "metadata": {},
+   "source": [
+    "## Measuring accuracy: rank deviation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4dcdb01f-fd42-4576-b135-52c3bc476de2",
+   "metadata": {},
+   "source": [
+    "In the code below, we measure a simple statistic for accuracy: the rank deviation. The rank deviation is the expected percentage your predicted rank (from the rating system) differs from your actual rank in the contest. Mathematically, the rank deviation of a player $i$ in a contest with $n$ participants is: \n",
+    "\n",
+    "$$\\text{rank_deviation}_i = |\\text{actual_rank}_i - \\text{predicted_rank}_i| / n.$$\n",
+    "\n",
+    "When player $i$ is tied with other players, we measure the difference of the actual rank to the nearest endpoint of the interval of players $i$ is tied with (or $0$ if the predicted rank lies within the interval)."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 244,
+   "id": "678d6f6b-0f18-4b4e-a40c-c3ce4ca6a779",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "75b0d6fb323943c29b21624e2472a116",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "  0%|          | 0/158 [00:00<?, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Ranking deviation percentage (mmr vs. cc): 0.1846255006533524 0.19375879824853307\n"
+     ]
+    }
+   ],
+   "source": [
+    "import math\n",
+    "# For each contest, measure statistics between ranklists\n",
+    "def rank_dev(r, lo, hi):\n",
+    "    return min(abs(r - lo), abs(r - hi), 0 if lo <= r <= hi else math.inf)\n",
+    "\n",
+    "def produce_rankings(pred):\n",
+    "    # Sort rankings by reverse rating\n",
+    "    return dict([(pred[0], i) for i, pred in enumerate(sorted(pred, key=lambda x: -x[1]))])\n",
+    "\n",
+    "# Min number of contests a user needs to do before being counted in our metrics\n",
+    "min_experience_level = 3\n",
+    "default_rating = 1500\n",
+    "\n",
+    "unknown_users = set()\n",
+    "rankdev_mmr, rankdev_cc = 0, 0\n",
+    "pairinv_mmr, pairinv_cc = 0, 0\n",
+    "num_obs = 0\n",
+    "\n",
+    "checkpoint_contests = sorted(list(checkpoint_contests), key=lambda x: name_to_id[x])\n",
+    "for contest in tqdm(checkpoint_contests):\n",
+    "    # Get the contest data corresponding to contest following this checkpoint\n",
+    "    contest_id = name_to_id[contest] + 1\n",
+    "    ranks = json.load(open(f'{raw_contests}/{contest_id}.json'))\n",
+    "    \n",
+    "    if ranks['time_seconds'] >= name_to_time['START25B']:\n",
+    "        default_rating = 1000\n",
+    "        \n",
+    "    codechef_rank = pd.read_csv(f'{codechef_dir}/{contest}.csv')\n",
+    "    codechef_rank.sort_values(['ratings'], ascending=False, inplace=True)\n",
+    "    rate_name_cc = defaultdict(lambda: default_rating)\n",
+    "    rate_name_cc.update(dict(zip(codechef_rank.username, codechef_rank.ratings)))\n",
+    "    \n",
+    "    mmr_rank = pd.read_csv(f'{elommr_dir}/{contest}.csv')\n",
+    "    # Translate handle ids to actual usernames\n",
+    "    mmr_rank.handle = mmr_rank.handle.apply(lambda x: user_map[x])\n",
+    "    rate_name_mmr = defaultdict(lambda: default_rating)\n",
+    "    rate_name_mmr.update(dict(zip(mmr_rank.handle, mmr_rank.display_rating)))\n",
+    "    \n",
+    "    # For each user in the contest, get their predicted rank from both ranklists\n",
+    "    mmr_pred, codechef_pred = [], []\n",
+    "    for result in ranks['standings']:\n",
+    "        user = user_map[int(result[0])]\n",
+    "        if user != 'unknown_user':\n",
+    "            mmr_pred.append((user, rate_name_mmr[user]))\n",
+    "            codechef_pred.append((user, rate_name_cc[user]))\n",
+    "        else:\n",
+    "            unknown_users.add(int(result[0]))\n",
+    "    \n",
+    "    # Sort the predictions to get the actual rankings\n",
+    "    mmr_final, codechef_final = produce_rankings(mmr_pred), produce_rankings(codechef_pred)\n",
+    "    \n",
+    "    # Get the number of contests each user has participated in thus far\n",
+    "    num_contest_csv = pd.read_csv(f'{elommr_dir}/{contest}_numcontests.csv')\n",
+    "    num_contests = dict(zip(num_contest_csv.username, num_contest_csv.num_contests))\n",
+    "    \n",
+    "    # Compute various statistics over users that have participated in at least 3 contests\n",
+    "    num_participants = len(ranks['standings'])\n",
+    "    for result in ranks['standings']:\n",
+    "        user = user_map[int(result[0])]\n",
+    "        if user not in num_contests or num_contests[user] < min_experience_level:\n",
+    "            # Note: num_contests includes the current contest, so an entry of 3 indicates 2 contests have been done\n",
+    "            # before the current one\n",
+    "            continue\n",
+    "        \n",
+    "        r_mmr = mmr_final[user]\n",
+    "        r_cc = codechef_final[user]\n",
+    "        \n",
+    "        rankdev_mmr += rank_dev(r_mmr, *result[1:]) / num_participants\n",
+    "        rankdev_cc += rank_dev(r_cc, *result[1:]) / num_participants\n",
+    "        \n",
+    "        num_obs += 1\n",
+    "    \n",
+    "print('Ranking deviation percentage (mmr vs. cc):', rankdev_mmr / num_obs, rankdev_cc / num_obs)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9d12fe59-7735-4025-9ad5-e979180b586a",
+   "metadata": {},
+   "source": [
+    "As expected, the EloMMR algorithm is slightly more accurate with a lower ranking deviation metric."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4da2a790-5f87-43cb-882e-f488a1887129",
+   "metadata": {},
+   "source": [
+    "# Distribution and support of ratings"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1d0d6398-51af-465e-b72b-e0e8ce9ebaef",
+   "metadata": {},
+   "source": [
+    "Next, we'll plot the distribution of the ratings. The code below does this. In addition, it plots the ratings of the top-3 participants according to the rating system."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 257,
+   "id": "d49276a5-31ec-42ac-9878-d23019770135",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/opt/conda/lib/python3.7/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
+      "  warnings.warn(msg, FutureWarning)\n",
+      "/opt/conda/lib/python3.7/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
+      "  warnings.warn(msg, FutureWarning)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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ffJAjjjiCcePG8fWvf52SkpIO80+aNIkLL7yQ3/72t8Riu34nPvOZz1BcXMywYcMYPnw4DTu1a6FImChQFQmpjob+dTqVFIqtW7fy7LPPcvnllzNmzBh+/OMftwahCxYs2Gu5c889lyVLlvCPf/yDf/mXf+HDDz8kFouRSqVa8zQ0NLS+fuKJJ7jyyitZsGABxx57LIlEAoDi4uLWPNFoFE8mc9BKEckVBaoiIbUlOD61tJ2h/ZYtq7bXNvd2tUR28/vf/56LL76Y999/n9WrV7N27VrGjh3LJz/5Se655x5effXV1ry//e1v9xjenzFjBhdddBE/+9nPGDFiBJs2bWLr1q00Njby+OOPA5BKpVi7di0f//jHuemmm9ixYwc1NTW92k4RyQ1N1BEJqS3VjQwtL97t+NQW5UGP6tbaxt6ulshu7r//fq6++urd0j73uc/xwAMP8MADD/Ctb32LTZs2EYlEOPnkk/nsZz+7xz2+853vMGXKFL773e9y7bXXMn36dMaOHcuECRMASCaTfPGLX6Sqqgp35xvf+AaDBw/ujeaJSI5Z+nCo/mnq1Kk+f/78fFdDpFsuu2sem2saueC4g/e4VtOY4IdPvsN1Z07k0hPH5qF2IoXp3F++DMCDX5nRresiPamr/72Z2QJ3n5rLOhUaDf2LhNSWmiaGVRS3e60sHsUMttVp6F9ERMJLgapISG2tSQ/9tydixuDSIrZp6F9EREJMgapICLk7m2saqRzQfqAKsF95XIupREQk1BSoioTQjrpmmpPO8A4C1SFlcW1PJSIioaZV/yIhtDnY7L9yQDHVDYl289Q2JdlWW9eb1RIREelR6lEVCaHN1elAtaMe1fJ4lLpGbW4uIiLhpUBVJIQ2VadP5Olojmp5cYzapgT9eQs6EREJNwWqIiHU0qPaUaBaUhQl5VDXpF5VEREJJwWqIiG0aWcjpUVRKor3Ps28OJb+9a5tbH8Oq4iISKFToCoSQi1bU7V3fGqLlkC1RoGqiIiElAJVkRDaXN3Y4UIq2BWoauhfRETCSoGqSAhtqu54s3+AeCwKqEdVRETCS4GqSAhtziJQ1RxVEREJOwWqIiHT0Jykqr4566F/9aiKiEhY6WQqkRCZ8+oattelj0XttEe1KD30X6tN/0VEJKTUoyoSMjXBkaka+hcRkb5OgapIyFQ3NAMwfEBJh/niGvoXEZGQU6AqEjLVjdn1qEbMKIqaelRFRCS0FKiKhEx1QwIzGFoe7zRvcSxKbZMCVRERCScFqiIhU92QYGh5nFi081/f4liEGi2mEhGRkFKgKhIyNQ3NDKvoeNi/RXEsoqF/EREJLQWqIiFT3Zhg+MCOF1K1iMeiWkwlIiKhldNA1cxmmtkyM1tuZle3c93M7Jbg+iIzm9JZWTO7Psi70Mz+YmYHZly7Jsi/zMw+ncu2ieRLdUOCSvWoiohIP5CzQNXMosCtwOnAROB8M5vYJtvpwPjgazZwWxZlf+zuk9x9MvA4cG1QZiJwHnAEMBP4RXAfkT7D3alpSDB8YJaBapECVRERCa9c9qgeByx395Xu3gQ8AMxqk2cWcK+nvQIMNrMDOirr7jszypcDnnGvB9y90d1XAcuD+4j0GfVNSZLuXepR1WIqEREJq1wGqgcBazPerwvSssnTYVkzu8HM1gIXEvSoZvk8zGy2mc03s/mbN2/uUoNE8i3bPVRbFMei6lEVEZHQymWgau2keZZ5Oizr7t9z91HAfcBVXXge7n6Hu09196mVlZXtVlykUFUHx6cOzzJQjcci1DcnSab2+FUQEREpeLkMVNcBozLejwTWZ5knm7IAc4DPdeF5IqHWcnxq9j2q6V9xbfovIiJhlMtA9TVgvJmNNbM46YVOc9vkmQtcHKz+Px6ocvcNHZU1s/EZ5c8Clmbc6zwzKzazsaQXaM3LVeNE8qG1RzXL7amKY+n1hBr+FxGRMIrl6sbunjCzq4CngChwp7svMbMrguu3A08CZ5Be+FQHXNZR2eDWN5rZ4UAKeB9oud8SM3sIeBtIAFe6u1aRSJ9S05igKGqUx7Pb0KK1R1WBqoiIhFDOAlUAd3+SdDCamXZ7xmsHrsy2bJD+uXayt1y7Abihu/UVKXTVDc0MKCnCrL0p2XtqCVQfXvAB3zl9Qi6rJiIi0uN0MpVIiNQ2JrPuTQWIF6V/xRsTqVxVSUREJGcUqIqESEMiSWkXAtWWOapNCc2CERGR8FGgKhIiDc2p1uAzGy1D/+pRFRGRMFKgKhIijc1JSoqy/7VVoCoiImGmQFUkRBoSyS72qKbzKlAVEZEwyumqfxHpOYlkiuakU1wUYc6ra7IqUxQ1DGjUHFUREQkh9aiKhERtYzrYLOlCj6qZEY9F1KMqIiKhpEBVJCR2BsendmWOKqTnqTY1K1AVEZHwUaAqEhI1welSXZmj2pJfQ/8iIhJGClRFQqI1UO1qj2qRhv5FRCSctJhKJATmvLqGpR/uBLo2RxXQHFUREQkt9aiKhERjMM+0yz2qsShNClRFRCSEFKiKhERDouur/iG9mEpzVEVEJIwUqIqEREuPaklRdwJV9aiKiEj4KFAVCYmGRBIjvYl/VyhQFRGRsFKgKhISjc0piosimHUtUI3HoiRTrnmqIiISOgpURUKiMZHs8rA/pHtUAWqD7a1ERETCQoGqSEg0NKe6vJAKdgWqNQpURUQkZBSoioREQyLZGnR2RXHQC1vbpEBVRETCRYGqSEg0Nqc09C8iIv2KAlWRkGhMJLu82T9kDv1rL1UREQkXBaoiIdHQnKK4G3NU4+pRFRGRkFKgKhISjYkkJd2ZoxoEt1pMJSIiYaNAVSQEkimnOemtC6O6QnNURUQkrBSoioRAY3N6fmnJPsxRVaAqIiJho0BVJAQaglOlujNHNRaNEDXTYioREQkdBaoiIdCY6H6PKqQXVKlHVUREwkaBqkgINDR3v0cVoLhIgaqIiISPAlWRENiXOaqQnqeqVf8iIhI2ClRFQqBljmpJd3tUY1EdoSoiIqGjQFUkBFrmqHbnZCpo6VHVYioREQkXBaoiIbCvc1S1mEpERMIop4Gqmc00s2VmttzMrm7nupnZLcH1RWY2pbOyZvZjM1sa5H/EzAYH6WPMrN7MFgZft+eybSK9qbE5ScSgKGrdKl8ciypQFRGR0MlZoGpmUeBW4HRgInC+mU1sk+10YHzwNRu4LYuyTwNHuvsk4F3gmoz7rXD3ycHXFblpmUjva0ikKI5FMetuoKrFVCIiEj657FE9Dlju7ivdvQl4AJjVJs8s4F5PewUYbGYHdFTW3f/i7i1/cV8BRuawDSIFobE52e0V/5AOVGsbE7h7D9ZKREQkt3IZqB4ErM14vy5IyyZPNmUBvgT8KeP9WDN7w8z+ZmYfba9SZjbbzOab2fzNmzdn1xKRPGvpUe2u4liElO+a6yoiIhIGuQxU2xujbNuds7c8nZY1s+8BCeC+IGkDMNrdjwG+Ccwxs4F73MT9Dnef6u5TKysrO2mCSGHY1x7VeFE6yNXwv4iIhEkuA9V1wKiM9yOB9Vnm6bCsmV0C/BNwoQdjme7e6O5bg9cLgBXAYT3SEpE8a+yBHlVAC6pERCRUchmovgaMN7OxZhYHzgPmtskzF7g4WP1/PFDl7hs6KmtmM4HvAGe5e13LjcysMliEhZmNI71Aa2UO2yfSaxqak93eQxV2BarqURURkTCJ5erG7p4ws6uAp4AocKe7LzGzK4LrtwNPAmcAy4E64LKOyga3/m+gGHg6WAH9SrDC/2TgB2aWAJLAFe6+LVftE+lNDYkUJUX70qOaLlvXpE3/RUQkPHIWqAK4+5Okg9HMtNszXjtwZbZlg/RD95L/YeDhfamvSKFqbE5SEtv3HlUN/YuISJjoZCqRAteUSJFIOcX70KMa19C/iIiEkAJVkQLXElyqR1VERPobBaoiBa6mIR1c7kuPasscVfWoiohImChQFSlw1Y3NwL71qMZbe1S1mEpERMJDgapIgavugR7VaMQoKYpQ26QeVRERCQ8FqiIFrmXov2QfNvwHqCiOaehfRERCRYGqSIFrCS73ZcN/gPLimBZTiYhIqChQFSlw1Q3pOarF+zBHFaA8rkBVRETCRYGqSIGrbtmeah/mqIKG/kVEJHwUqIoUuJqGBBGDWMT26T7lxVGt+hcRkVBRoCpS4OqaksRjEcz2NVDV0L+IiISLAlWRAtfQnCQe3fdfVQ39i4hI2ChQFSlw9c1JinogUFWPqoiIhI0CVZEC1zL0v6/Ki2PUNiVJpbwHaiUiIpJ7ClRFClxDD/WoVhSndw2oa9aCKhERCQcFqiIFrr4pSVF03xZSQbpHFdDwv4iIhIYCVZEC11NzVCuCQFULqkREJCwUqIoUuPqemqMaV4+qiIiES1Z//czsYTP7jJkpsBXpZT256h/UoyoiIuGR7V+/24ALgPfM7EYzm5DDOolIhp4e+tfpVCIiEhZZ/fVz92fc/UJgCrAaeNrMXjKzy8ysKJcVFOnv6puSxHtkMVV61b+G/kVEJCyy7qYxs6HApcDlwBvAz0gHrk/npGYiQjLlNCZSFPXAHFUtphIRkbCJZZPJzP4ATAB+A5zp7huCSw+a2fxcVU6kv2sI9jztiSNUtT2ViIiETVaBKvA/7v5kZoKZFbt7o7tPzUG9RIT0/FSgR+aolsWjmClQFRGR8Mj2r99/tpP2ck9WRET2VN/Uc4GqmVEej1GjxVQiIhISHfaomtn+wEFAqZkdA7Ss6BgIlOW4biL9XkuPak/sowrpBVXqURURkbDobOj/06QXUI0E/isjvRr4bo7qJCKBXT2q+77qH9LzVGuaFKiKiEg4dBiouvs9wD1m9jl3f7iX6iQigZ6cowrplf/qURXpuoqKCmpqavJdDZF+p7Oh/y+6+2+BMWb2zbbX3f2/2ikmIj2kvgdX/UP6GFUFqtIXJRIJYrFs1wdnz91x9x6/r4hkp7O/fuXB9wpgQDtfIpJDrUP/PTZHVYuppLCsXr2aCRMmcPnll3PkkUdy4YUX8swzz3DiiScyfvx45s2bx7x58zjhhBM45phjOOGEE1i2bBkAd999N+eccw5nnnkmn/rUp9i2bRtnn302kyZN4vjjj2fRokUAu6U/86Mvs2PdcgCuu+46vvSlL3HKKacwbtw4brnlFgBqt2zgIx/5CF/96leZMmUKa9euba3vli1bmDFjBk888UQv/6RE+qfOhv5/GXz/j96pjohkaglUe6pHtUKLqaQALV++nN/97nfccccdTJs2jTlz5vDCCy8wd+5cfvjDH3Lvvffy97//nVgsxjPPPMN3v/tdHn44PRvt5ZdfZtGiRQwZMoT/83/+D8cccwyPPvoozz77LBdffDELFy7k+9//fmv6Kd/4OfPuvh6uvwiApUuX8txzz1FdXc3hhx/OJ65/FIBly5Zx11138Ytf/KK1nhs3buSss87iP//zPznttNN6/eck0h9l9dfPzG4ys4FmVmRmfzWzLWb2xSzKzTSzZWa23Myubue6mdktwfVFZjals7Jm9mMzWxrkf8TMBmdcuybIv8zMPp1N20QK2a45qj23mEqBqhSasWPHctRRRxGJRDjiiCM49dRTMTOOOuooVq9eTVVVFeeccw5HHnkk3/jGN1iyZElr2dNOO40hQ4YA8MILL3DRRekA9BOf+ARbt26lqqpqt/QRE6bSWFtFVVUVAJ/5zGcoLi5m2LBhDB8+nIad2wA4+OCDOf7441uf09zczKmnnspNN92kIFWkF2XbTfMpd98J/BOwDjgM+NeOCphZFLgVOB2YCJxvZhPbZDsdGB98zQZuy6Ls08CR7j4JeBe4JigzETgPOAKYCfwiuI9IaDXkYDGVjlCVQlNcXNz6OhKJtL6PRCIkEgn+/d//nY9//OMsXryYP/7xjzQ0NLTmLy8vb33d3lxSM9trettnR6NRPJnc474AsViMY489lqeeeqo7TRSRbsr2r19R8P0M4H5335ZFmeOA5e6+0t2bgAeAWW3yzALu9bRXgMFmdkBHZd39L+7e8pf2FdJbZ7Xc64HgtKxVwPLgPiKhVdeDG/5Duke1MZEikUz1yP1EekNVVRUHHXQQkJ6Xujcnn3wy9913HwDPP/88w4YNY+DAgbulb1r2OsUVgxg4cGCX6mBm3HnnnSxdupQbb7yxew0RkS7L9q/fH81sKTAV+KuZVQINnZQ5CFib8X5dkJZNnmzKAnwJ+FMXnicSKvXNSeLRCNFIzw39A9RqQZWEyLe//W2uueYaTjzxRJLJvf+3e9111zF//nwmTZrE1VdfzT333LNH+qJHb+O4S/69W/WIRqM88MADPPfcc7vNXRWR3MlqLw93v9rMfgTsdPekmdWyZ+9oW+39ZW07/rK3PJ2WNbPvAQngvi48DzObTXqaAaNHj26niEjhqG9KUlLUM72pkF5MBVDTlGBQWVEnuUVyb8yYMSxevLj1fWaPaea1d999tzX9+uuvB+DSSy/l0ksvbU0fMmQIjz322B7PyEw/95e7Tv++7rrrdsu3ePHi1uuZdQJa91CNx+Ma/hfpRV3ZdO4jpPdTzSxzbwf51wGjMt6PBNZnmSfeUVkzu4T0fNlTfdfko2yeh7vfAdwBMHXqVG2OJwWtoTlJabznplrv6lHVPFURESl82a76/w1wM3ASMC34mtpJsdeA8WY21szipBc6zW2TZy5wcbD6/3igyt03dFTWzGYC3wHOcve6Nvc6z8yKzWws6QVa87Jpn0ihqmtKUhbvuU3MWwJVLagSEZEwyPYv4FRgonfheA53T5jZVcBTQBS4092XmNkVwfXbgSdJL9BaDtQBl3VUNrj1fwPFwNPBqs1X3P2K4N4PAW+TnhJwpbtrIp6EWn1zkpKinutRrVCPqoiIhEi2gepiYH9gQ1du7u5Pkg5GM9Nuz3jtwJXZlg3SD+3geTcAN3SljiKFrKE5SWkPzlEtC6YRKFAVEZEwyDZQHQa8bWbzgMaWRHc/Kye1EhEgvZiqp+aoznl1DVtr0r++OkZVRETCINtA9bpcVkJE2lfXlGRwWbzH7ldcpB5VEREJj2y3p/qbmR0MjHf3Z8ysjPTcURHJoZ5e9V8cS08j0GIqEREJg2xX/X8Z+D3wyyDpIODRHNVJRAL1PTxHNRYxIqYeVRERCYds/wJeCZwI7ARw9/eA4bmqlIikpQPVnutRNTPisYgCVRERCYVsA9VGd29qeRNs+q/N8kVyrK4pSWkP7qMKUBKLajGViIiEQraB6t/M7LtAqZmdBvwO+GPuqiUiyZTTlEj1aI8qQGk8SlV9U+cZRURE8izbQPVqYDPwFvAV0vub/luuKiUi6YVUAKXxnpujmr5flO11zT16TxERkVzIdtV/ysweBR519825rZKIQHp+KtDjParl8Rjb69SjKiIiha/DrhpLu87MtgBLgWVmttnMru2d6on0X/VNLT2qPTtHtSweZYd6VEVEJAQ6G1P8v6RX+09z96HuPgSYDpxoZt/IdeVE+rNc9aimA9UmUimthxQRkcLWWaB6MXC+u69qSXD3lcAXg2sikiO7elR7do5qWTxGymFng3pVRUSksHX2F7DI3be0TQzmqRblpkoiArt6VEty0KMKaEGViIgUvM4C1Y5WXGg1hkgOtfSolvX4HNX0/bSgSkRECl1nfwGPNrOd7aQbUJKD+ohIIJdzVAG21ypQFRGRwtZhoOruPfsXUkSy1jpHVUP/IiLST/XsKg0R6TGtc1RzsJgKYIeG/kVEpMApUBUpUC09qk+8uaFH71tSFCFi8MJ7e6yTFBERKSgKVEUKVEuPaizas7+mZkZpPEZdEAiLiIgUKgWqIgWqvjlJNGJEI9bj9y6LR6ltSvT4fUVERHqSAlWRAlXflKQo2vNBKqQDVfWoiohIoVOgKlKg6puSxHt42L9FWTzWOgdWRESkUClQFSlQ9c1JinIUqJbHo9Rp6F9ERAqcAlWRAlXfnCQey1WPapTapiTunpP7i4iI9AQFqiIFqiGHPapl8RjJlGueqoiIFDQFqiIFqi6nc1RbTqfSpv8iIlK4FKiKFKhcr/oH2KFjVEVEpIApUBUpUA3NSYpyNkc1fYyqelRFRKSQKVAVKVC5XPXf0qO6rVaBqoiIFC4FqiIFKqdzVIvTPaoa+hcRkUKmQFWkQOWyR7W0SIupRESk8ClQFSlAyZTTlEhRFMvNYqpoxCgpiqhHVUREClpOA1Uzm2lmy8xsuZld3c51M7NbguuLzGxKZ2XN7BwzW2JmKTObmpE+xszqzWxh8HV7LtsmkksNzen9TXM19A/pBVWaoyoiIoUslqsbm1kUuBU4DVgHvGZmc9397YxspwPjg6/pwG3A9E7KLgY+C/yynceucPfJOWqSSK9p2Yg/V0P/kF5QpaF/EREpZLnsUT0OWO7uK929CXgAmNUmzyzgXk97BRhsZgd0VNbd33H3ZTmst0je9U6PalRD/yIiUtByGageBKzNeL8uSMsmTzZl2zPWzN4ws7+Z2Ufby2Bms81svpnN37x5cxa3FOl99UGgmqt9VCE99K8eVRERKWS5DFTbWwXiWebJpmxbG4DR7n4M8E1gjpkN3OMm7ne4+1R3n1pZWdnJLUXyo7516D83i6kAyuNRtmuOqoiIFLBcBqrrgFEZ70cC67PMk03Z3bh7o7tvDV4vAFYAh3Wr5iJ51jJHNZdD/6XxGLVNSZoSqZw9Q0REZF/kMlB9DRhvZmPNLA6cB8xtk2cucHGw+v94oMrdN2RZdjdmVhkswsLMxpFeoLWyZ5sk0jta5qjmejEVwA4N/4uISIHK2ap/d0+Y2VXAU0AUuNPdl5jZFcH124EngTOA5UAdcFlHZQHM7H8BPwcqgSfMbKG7fxo4GfiBmSWAJHCFu2/LVftEcql11X9O56i2bPrfzPCBJTl7joiISHflLFAFcPcnSQejmWm3Z7x24MpsywbpjwCPtJP+MPDwPlZZpCBUN6RX47ecIJUL5cExqlpQJSIihUonU4kUoB31uQ9UW3tUtaBKREQKlAJVkQK0o66ZeCyS01X/ZfGWHlXtpSoiIoVJgapIAaqqb2JwaRFmOdyeqjhKxGBDVX3OniEiIrIvFKiKFKAddc0MLivK6TNikQgj9ytj1ZbanD5HRESkuxSoihSgHXXNDC6N5/w5Y4eVK1AVEZGCpUBVpADtqG9mUI57VGFXoJregENERKSwKFAVKUBVdek5qrk2rrKcuqYkm6sbc/4sERGRrsrpPqoi0j076psZ1AuB6thh5QCs3FK726b/c15d0/r6gumjc14PERGR9qhHVaTANCaS1DUlc76YCnYFqpqnKiIihUiBqkiBqQo2+x9UlvvFVAcOKiUeiyhQFRGRgqRAVaTAVAUb8PfGHNVIxBgztIyVmxWoiohI4VGgKlJgWo5P7Y2h/zmvriEWibBqS03OnyUiItJVClRFCsyO1h7V3A/9AwyrKGbNtjoSyVSvPE9ERCRbClRFCsyOuiagd3pUAYZVxGlOOh/sSB+l+trqbdzz0mp2Bj27IiIi+aJAVaTA7FpM1VuBajGQ3qIK4GfPvMeyjdXc+eIqahsTvVIHERGR9ihQFSkwO+qaiUaMAcW9s83xsAHpQHXV5lrWbqvjheVb+MgBA9lW28TdL61mZ4N6VkVEJD8UqIoUmB31TQwqLcLMeuV55fEoA0pirNpSy0Pz1xIxOHPSAVwwfTQbqur5wu0v73YAgIiISG/RyVQiBWZHXXOvbE3VwswYO6yc9zZVs3pLHR87rJLBZXEGl8WZPm4or63aRsq91+ojIiLSQj2qIgWmqr651+anthg7rJxXV23jw50NnDtt15Gp+w8sIZHy1p0IREREepMCVZEC09s9qpAOVN2hojjG5urG1vTKYKHVlprGvRUVERHJGQWqIgVmR30Tg3vh+NRMY4eVAzBl9H5EI7vmxrYstMoMXkVERHqLAlWRArOjrplBvdyjOmPcUD46fhjHjxuyW3p5PEppUVSBqoiI5IUCVZECkkimqG5I9Npm/y2GDyzhN/88fY+eXDOjckAxmzX0LyIieaBAVaSA7GxIb7C/fFNNwWwJVVlRzBb1qIqISB4oUBUpIC3Hp5bFo3muyS6VA4qpbkxo438REel1ClRFCsiO4PjU0qLC2eK49YjVzbV5romIiPQ3ClRFCkhVsF9pofWoAqzYVJPnmoiISH9TON02IsKO+vTQf2kvB6odzYcdUh4nYrByiwJVERHpXepRFSkgLSdAlRUVTo9qNGIMKS9mxSYN/YuISO9SoCpSQFoC1ZICGvqH9PC/elRFRKS3KVAVKSBV9c0MLIkRMes8cy+qrIizeksdiWQq31UREZF+RIGqSAHZUdf7x6dmo3JAMU3JFOu21+e7KiIi0o/kNFA1s5lmtszMlpvZ1e1cNzO7Jbi+yMymdFbWzM4xsyVmljKzqW3ud02Qf5mZfTqXbRPJhR31zb1+KlU2Wreo0vC/iIj0opwFqmYWBW4FTgcmAueb2cQ22U4Hxgdfs4Hbsii7GPgs8Pc2z5sInAccAcwEfhHcRyQ0dtQ1M6i08ALVyoqWLaq0oEpERHpPLntUjwOWu/tKd28CHgBmtckzC7jX014BBpvZAR2Vdfd33H1ZO8+bBTzg7o3uvgpYHtxHJDSq6psLcui/rDhGWTzKU0s+zHdVRESkH8lloHoQsDbj/bogLZs82ZTtzvMws9lmNt/M5m/evLmTW4r0rqr6ZgaVFub2xsMHFLO5ujHf1RARkX4kl4Fqe8uWPcs82ZTtzvNw9zvcfaq7T62srOzkliK9J5Xy9GKq0sLrUQUYPrCEjdUNuHf2qygiItIzchmorgNGZbwfCazPMk82ZbvzPJGCVdOUIOUU5GIqgBEDS2hoTrFxp3pVRUSkd+QyUH0NGG9mY80sTnqh09w2eeYCFwer/48Hqtx9Q5Zl25oLnGdmxWY2lvQCrXk92SCRXNpemz4+tRAXUwGMGJBeUPXuxuo810RERPqLnAWq7p4ArgKeAt4BHnL3JWZ2hZldEWR7ElhJeuHTr4CvdlQWwMz+l5mtA2YAT5jZU0GZJcBDwNvAn4Er3T2Zq/aJ9LT3t9YBMGpIWZ5r0r7hA0sABaoiItJ7crpqw92fJB2MZqbdnvHagSuzLRukPwI8spcyNwA37EOVRfJmxeb0HqWHVFawcnPhbQNVURyjPB7lvY3aS1VERHqHTqYSKRArNtcwsCTGsIrCXEwF6Xmqy9SjKiIivUSBqkiBeGn5VgaVFnH/vLWdZ86T4QNLWL6pRiv/RUSkVyhQFSkQm2saqRxQku9qdGjEwGJqGhOsr2rId1VERKQfUKAqUgCqG5qpbkhQGaysL1TDB2hBlYiI9B4FqiIFoGXxVGVFYQeqIwam6/eeAlUREekFClRFCkDLiv9C71Eti8cYPqCYZR9q5b+IiOSeAlWRArBicw0RgyHlhbviv8VhIwbw3ib1qIqISO4pUBUpACs21TK0vJhoxPJdlU6NH1HBextrSKW08l9ERHJLgapIAVixuabgh/1bHDZiAPXNST7YUZ/vqoiISB+nQFUkzxLJFKu31oYqUAVY9qGG/0VEJLcUqIrk2drt9TQnveBX/Ld4c+0OAJ1QJSIiOadAVSTPVmwKx4r/FiVFUYaUx3lrXVW+qyIiIn2cAlWRPGvZmmpYSHpUAUbuV8qidTvyXQ0REenjFKiK5FnLQqrSeDTfVcnayP3KWF/VwKZqHaUqIiK5o0BVJM9WbK7lkMryfFejS0btVwrAorUa/hcR6arVq1dz5JFHZpX30ksv5fe//32PPt/MJpvZGRnvrzOzb/XAfV/q5PrzZja1K/dUoCqSR+7O8k01jKusyHdVuuSAQaVEI8abGv4XESlIZtbRMN1k4IwOrneLu5/Q0/dUoCqSR6u21FJV38ykgwbluypdEo9FGD+8gje1oEpEQub6669nwoQJnHbaaZx//vncfPPNrFixgpkzZ3Lsscfy0Y9+lKVLlwLp3syvfe1rnHDCCYwbN661Z/P555/nlFNO4fOf/zwTJkzgwgsvxD19CMoPfvADpk2bxpFHHsns2bNb0xcsWMDRRx/NjBkzuPXWW1vr8+zN/5uFCxe2vj/xxBNZtGjR3qp/oJndbWZRM/uxmS02s7fM7FwAMzvFzJ4zsznAW2ZWYmZ3BXneMLOPm1kc+AFwrpktbCnbwsy+bGZ/MrNSM/uimc0L8v0yeO7/NrObMvJfamY/D17XZKR/O3jum2Z2Y8Yjzgnu+a6ZfbSzz0uBqkgezX9/OwAfVoVvrufkUYNZtG5H6z/CIiKFbv78+Tz88MO88cYb/OEPf2D+/PkAzJ49m5///OcsWLCAm2++ma9+9autZTZs2MALL7zA448/ztVXX92a/sYbb/DTn/6Ut99+m5UrV/Liiy8CcNVVV/Haa6+xePFi6uvrefzxxwG47LLLuOWWW3j55Zd3q9O4E8/k7rvvBuDdd9+lsbGRSZMm7VH3b3/72wBFwGXA2aR7RY8GPgn82MwOCLIeB3zP3ScCVwK4+1HA+cA9pGO/a4EH3X2yuz/Y8gwzuwo4M7j/GOBc4ER3nwwkgQuB3wOfzajaucCDGe8xs9ODe0x396OBmzIux9z9OOD/At/fo6FtKFAVyaMFq7dTWhRlWEi2psrU0JxiR10za7bV5bsqIiJZeeGFF5g1axalpaUMGDCAM888k4aGBl566SXOOeccJk+ezFe+8hU2bNjQWubss88mEokwceJENm7c2Jp+3HHHMXLkSCKRCJMnT2b16tUAPPfcc0yfPp2jjjqKZ599liVLllBVVcWOHTv42Mc+BsBFF13Uep+Rx36Cxx9/nObmZu68804uvfTSPep9/fXXs2PHDoD3Pd07cBJwv7sn3X0j8DdgWpB9nruvCl6fBPwGwN2XAu8Dh+3lx3MRcDrwOXdvBE4FjgVeM7OFwftx7r4ZWGlmx5vZUOBw4MU29/okcJe71wXP3pZx7Q/B9wWkg+EOxTrLICK5M//9bRw8tIyIWb6r0mUjgwVVC9fu4OCh4VoMJiL9U3sjQKlUisGDB+82/J6puHhXR0Jm+cz0aDRKIpGgoaGBr371q8yfP59Ro0Zx3XXX0dDQgLtje/l3PhYv4bTTTuOxxx7joYceau3lzTRt2jQWLFgA0DLvtKM/GrUZr7vyx2Ux6V7akcCqoOw97n5NO3kfBL4ALAUe8T1/sAbsbbitMfieJIs4VD2qInmyvbaJFZtrOXhIWb6r0i0jBpYQixiLNE9VRELipJNO4o9//CMNDQ3U1NTwxBNPUFZWxtixY/nd734HpIPRN998s1v3b2hIT+MaNmwYNTU1rXNaBw8ezKBBg3jhhRcAuO+++3Yrd/nll/O1r32NadOmMWTIkD3uO3PmzJZpB+PNbADwd9JzTKNmVgmcDMxrp0p/Jz1cj5kdBowGlgHVwIA2ed8AvgLMNbMDgb8Cnzez4UH5IWZ2cJD3D6SH9s+nzbB/4C/Al8ysrKVsO3myokBVJE8WBPNTR4e0NzIaMQ4crI3/RSQ8pk2bxllnncXRRx/NZz/7WaZOncqgQYO47777+PWvf83RRx/NEUccwWOPPdat+w8ePJgvf/nLHHXUUZx99tlMmzat9dpdd93FlVdeyYwZMygtLd2t3LHHHsvAgQO57LLLALj22muZO3fubnnOOeccgM3AXOBPwCLgTeBZ4Nvu/mE7VfoFEDWzt0gHlJcGw/rPARPbLqZy9xeAbwFPAJuAfwP+YmaLgKeBA4J824G3gYPdfY8A2d3/HNRzfjBtoNtbX1l/XggxdepUb6+LXaQ3XPzreby4fAvXnjmRomg4/5/x8UXreX3NdhZf92liIW2D9C/n/jK9kOXBr8zo1nUJv5qaGioqKqirq+Pkk0/mjjvuYMqUKXmpS8t/bz8582BOOeUUli5dSiSy939LzWyBu3dpH9Kw018WkTx5f1stBw4uCW2QCukTqhqaU7y7sabzzCIiBWD27NlMnjyZKVOm8LnPfS5vQWqL1a/8ienTp3PDDTd0GKT2V1pMJZIHTYkUH2yv5/hxQ/NdlX3SMr/21VVbmXjgwDzXRkSkc3PmzMl3FXYz5vjTefWuH+S7GgVLobtIHixeX0Ui5YwO6UKqFvuVxxk3rJznl23Od1VERKQPUqAqkgcLVqcXUh08NNyBKsDHDq/klZVbaWhO5rsqIiLSxyhQFcmD+e9vY0h5nAElRfmuyj5zh8ZEildWbs13VUREpI9RoCrSy5qTKV5avpVxw8K5LVVbY4eVE4sYf3tXw/8iItKzFKiK9LL5q7dT3Zjg8P3b7rUcTkXRCOMqy/mb5qmKiEgPU6Aq0sueW7aJoqhxaGVFvqvSYw4bMYCVW2pZs7Uu31UREZE+RIGqSC97dukmpo8dSnFRtPPMIXHY8HTv8N/eU6+qiIj0nJwGqmY208yWmdlyM7u6netmZrcE1xeZ2ZTOygZnzT5tZu8F3/cL0seYWX1wHNhCM7s9l20T6Y612+pYvqmGj08Ynu+q9KihFXFGDynjb8s25bsqIiLSh+QsUDWzKHArcDowETjfzCa2yXY6MD74mg3clkXZq4G/uvt44K/B+xYr3H1y8HVFblom0n3PLk0Hcp/oY4GqmfGxwyp5aYW2qRIRkZ6Tyx7V44Dl7r7S3ZuAB4BZbfLMAu71tFeAwWZ2QCdlZwH3BK/vAc7OYRtEumXOq2uY8+qaPdKfXbqJoeVxXl7R97Zy+tQRI6hrSvLMOxvzXRUREekjchmoHgSszXi/LkjLJk9HZUe4+waA4Htm19RYM3vDzP5mZh9tr1JmNtvM5pvZ/M2bNZ9Oek9dU4KXV25lQh9Z7d/WiYcM46DBpTz42trOM4uIiGQhl4GqtZPmWebJpmxbG4DR7n4M8E1gjpntcfi4u9/h7lPdfWplZWUntxTpOS8t30pTIsXh++/xn2WfEIkYX5g6in+8t4W127T6X0RE9l0uA9V1wKiM9yOB9Vnm6ajsxmB6AMH3TQDu3ujuW4PXC4AVwGE90hKRfZRKOXe9tIqK4hhj+sCxqe2Z8+oaiqKGAQ/NV6+qiIjsu1wGqq8B481srJnFgfOAuW3yzAUuDlb/Hw9UBcP5HZWdC1wSvL4EeAzAzCqDRViY2TjSC7RW5q55Itm79bnlvLh8K9894yPEon13V7jBZXHGj6jgd/PXkUim8l0dEREJuZz9xXT3BHAV8BTwDvCQuy8xsyvMrGVF/pOkg8nlwK+Ar3ZUNihzI3Camb0HnBa8BzgZWGRmbwK/B65w9225ap9Itl5asYWfPPMuk0cNxr2zGSzhN23MED7c2cDftaeqiIjso1gub+7uT5IORjPTbs947cCV2ZYN0rcCp7aT/jDw8D5WWaRHrdpSy9fuX8jYYeXMmnwgZu1Nv+5bJuw/kPLiGD9+6l0+MWFEvqsjIiIh1nfHIEXyqLYxwR8XredTP/kbDc1JfnHhsRTH+s5JVB2JRoypB+/H0g07WbG5Jt/VERGREFOgKtLDPthRz389/S6vrNjK548dybP/8jEO76NbUu3NiYcOIxY1bn1ueb6rIiIiIZbToX+R/ujBeWtoaE7y1Y8fyr9++vB8VycvKopjTB87lMcWrudrnxjPmGHlu13PPAzhgumje7t6IiISEupRFelByZTz+wXrOHR4BQcNLs13dfLqo+OHEYuoV1VERLpPPaoiPeilFVtYX9XAedPS2wC3d4xqfzGgpIgLpo/m3pff52unjmfUkL65f6yIiOSOelRFetDv5q9jUGkRHzmgb54+1VUjBpRgwA8ef5umxK59VT/c2cDdL63irQ+qmPPqmn4d0IuIyN4pUBXpIVV1zfx5yYfMmnwgRX14U/+uGFhaxGkTR/D02xv50t2vsbOhmRfe28Iv/7aC9zbWcP+8NTy8YB2Nzcl8V1VERAqQhv5FesjcRetpSqT4wtRRLFpXle/qFIyPjq+kLB7jkTfWcebPX+CD7fUMqyjmi8cfzIL3t/P8sk2s3lrLrGMOYkh5PN/VFRGRAqJuH+nXWoad93Xo2d158LU1TNh/AEccqGH/to49eD8uPWEs22qaOOHQYcw+eRxDyuOcNnEE/3zSWLbXNXHzX5blu5oiIlJgFKiK9ID/evpdFn+wk0tOGNMvTp/qjkOHVzDve5/knsumUVK06/CDcZUVHD9uKPfPW8PiD9QTLSIiuyhQlX4hlwt2Hpq/lp8/u5xzp44ilXItDOpAaTzabiB/6oQR7FcW5z/+uIT0ycoiIiIKVEX2yYvLt/DdP7zFocMrOPKgQepN7abSeJSPHVbJa6u3M/fN9fmujoiIFAgFqiLd9PsF67js7tc4pLKCC44bTTSiIHVfHHvwfhw4uIQfPvkOVXXN+a6OiIgUAAWq0uct/qCKX7+wkueXbWL9jnoANu5s4LGFH/DSii0s+7CarTWNpFLZDTk3J1Ocf8crfOt3b3Ls6P2Y8+Xpu825lL3raApGxIyzJx/E1pomvvfoW5oCICIi2p5K+rYVm2u4+M551DQmWLG5lqff2ciBg0r5IAhYMz2+aAPfP2siJxwybK/3W/D+Nq59bAlL1u/kpEOH8ekj9uepJRtz2YR+ZeR+ZXzjtMP48VPL+MSE4Xx2ysh8V0lERPJIgar0Wet31HPR/7xKxOCqjx9KxIxEKsWyD6u59IQxzDhkKC8u38LWmiY+3NnA62u2c8GvXuWMo/ZnxiHDKI5GiEWNlEMyleLVVdv4w+sfcMCgEi44bjRHHjQo303skwaVFjFmaBnXPraEaWOG6OhVEZF+TIGq9Enrd9TzxV+/SnVDgge+cjxvrt217dHwASVcMH00AIvWVTGgpIgxw8q56fOT+NXfV/KL51fw5Fsf7nHPqBkfO6ySUw6vpDimof5ciZhxztRR3PLX97jgV6/w1385hXhMs5RERPojBarS5yz9cCeX3vkaNY0JLjhu9G5Bakf+8PoHDK0o5o1rT2NnQzO/n7+OZMoxMyIGJUVRzUXtJfuVxfnslJHcP28N/9+f3uH7Zx6R7yqJiEgeKFCVPmPOq2tYubmGB+evpSwe5aGvzGDh2h1dvs8fXv8AgMFlOs4zn446aBDvHzKUu15czbEH78c/TTow31USEZFepkBV+gR354XlW/jz4g0MrSjmkhljOgxStSl/OMw8cn8ampN85/eLmLD/AA4dPiDfVRIRkV6kiV8SejWNCa6c8zpPvrWBw/cfyBUnH6Le0D4iFolw2sT9wYyzb32JJet1xKqISH+iQFVCbd32Oj77ixf58+IPmXnE/nxx+mhK45pH2pcMKi3iyyeNJRoxzv3lK7y0Yku+qyQiIr1EgaqE1k1/XsrMn/6DNdvquPSEsZx8WKWOMO2jhg8s4YqPHUJZPMpFv57HH15fl+8qiYhIL1CgKqHTnEzxm5dX86t/rKQoalxx8iEcOrwi39WSHBtUWsTsk8cxekgZ33zoTa6bu4TmZCrf1RIRkRzSYirJuZaFSy17l3aHu/Orf6xi+aYa5q3ayuqtdYwdVs5500YxoKSop6oqBa4sHuNLJ47lz4s3cPdLq1myvooff/5oxgwr3yNvczLF3IXreWH5Fg4eWsbXTx2vHncRkZBRoCoF7bbnV/DQ/LWs31FPYyLdezZh/wHceelUNuxoUODRD0UjxmcmHcjI/cp44q0NfOonf2f2yeO48uOHUhqP4u785e2N/OhPS1m5pba13D0vrebyj45j9snjKIpqMElEJAwUqErBqqpv5u6XVrGjrpljRu/H0PI4wwcU8+//NJFIxLTFVD939KjBjK0s58+LP+S/n1vOHf9YSVHESLrT0JyisqKYi44/mGEVxby/tZa3N+zkx08t44lFG7jp85N0BK6ISAgoUJWC1JhI8pXfzGdzdSOXnjB2tzmoD7y2No81k0IysKSIL0wdxbQxQ3hnw04m7D8AM9ha08Qxo/cjGkn3uFcOKGbqmCEs/qCKp9/ZyKxbX2T2yeP4+qnjddqYiEgBU6AqObOzoZlrHn6LuqYEHx1fmXW5zdWNfO+Rt3hl5TbOOXakFkpJp8YOK2dsxjzVscPaz3fkQYM4pLKCJ9/awG3Pr+CpxR/y/332KKaPG9pLNRURka5QoCo5Ud3QzCV3zmPRuiqSKeeVldtIpFJcOP1gyov3/M/ut6+8T3VDgvqmBP/zwioaEyn+7TMfoSyu/0SlZ5XGo3zu2JFMGjWIR9/4gHPveIWjDhrEeceN4syjD2SgFueJiBQMRQHS42obE1x212ssWlfFrRdM4a0PqvjLkg/54ZNL+e9nl3P+caOZeeT+vLl2B39/bwuLP6hic3UjHpT/zKQDOHzEAAWpklPjhw/g66cexvz3tzF/9Xa+98hirn1sCZNGDuKEQ4YyY9wwjj14Px0gISKSRzmNBMxsJvAzIAr8j7vf2Oa6BdfPAOqAS9399Y7KmtkQ4EFgDLAa+IK7bw+uXQP8M5AEvubuT+WyfbK7RDLFnxZ/yH8/u5z3NlXz8/OnMPPI/dlW28RlJ47l8P0HcOeLq/ifF1bxy7+vBGDM0DJOPqySrTVNDCiJ8ZWPjeOIAwdpoZT0ingswgmHDGPGuKGs217POxt2snJLLbc9v4Jbn1tBPBph8ujBzBg3lBMOGcrk0YMpjilwFRHpLTkLVM0sCtwKnAasA14zs7nu/nZGttOB8cHXdOA2YHonZa8G/uruN5rZ1cH775jZROA84AjgQOAZMzvM3ZO5amN/kEo5jYkUDc1JGhJJGppTNAbfG5qTVDckWLutjrXb63jmnY2s3VbPuGHl/PKiqZw2ccRu91r2YTUnHjKMIw4YyOqttYzar4yhFcW75XlzbRVvrtV57tK7zIxRQ8oYNaQMgMbmJKu31rFySw0rN9dyy1/f42d/fY94NELlgGL2Ky+iojhGUyJFQ3MKs/TCroGlMQaVFjGwpIhBpUVUDihm/0ElHDColP0HljCwNKYt1UREuiCXParHAcvdfSWAmT0AzAIyA9VZwL3u7sArZjbYzA4g3Vu6t7KzgFOC8vcAzwPfCdIfcPdGYJWZLQ/q8PLeKvjephou/NUrDCqL80+TDuDAwaWMGFhM1Kx1GNodHA++pzeed991j7bXackTXCPjWsqdZMpJpYLX7qRS6bRkm/tmSqacpkSK5mSKpmQqeO04eykQSCSdhubkrkCzORUEm+m0xuZdAWdDIklj6/V0WmNz+nnZiMciHDiolC9OH82EAwayubpxr72ig8viTC6LZ3VfkXwoLopy+P4DOHz/AQDUNyVZvbWW97fWUtOYoLYxyYaGBooiEWJRA4f1VfWs3JKkvilJfXOS5uSev5+lRVFGDCymoiRGeTxGRXGM8uCrojgafI9RFI0QjVj6y4xIxIhF0t+jZkQjEI1EiEYgYkYsEiESIbi2K1/EDLP03rMRMyKWDsojRvDeiEQyXre9Htk9rxnpL7IPtrsal3cle1eD/szcqVTH/3763v5B7qG6iEh2chmoHgRk7iO0jnSvaWd5Duqk7Ah33wDg7hvMbHjGvV5p5157lUimmLd6G81J58m3NnTeohCLmhGLGrFohKKoURRJf49F039oiyIRimMRKopju/IFeYoy8sSC9y1li2MRBpfFKY9H9Q+19Fml8SgfOWAgHzlgYNZlEskU1Y0JdtY3U1Xf3Pq9ujFBY3OKjQ2NrE3Upf+nMZEeqWgvuJXcGPfdJzu8Pvaajq/3pkIN9ju/d5du3aX/AQoK5CJrOn+X7t3Fn2FG9obm9KDvxGv/vEe+omiEN7//qS7duy/KZaDa3ifX9l/hveXJpmx3noeZzQZmB28bl//wM4s7uW9fNAzYku9K5IHa3b+o3f2L2t2/9It223V7JB3e+7XIr1wGquuAURnvRwLrs8wT76DsRjM7IOhNPQDY1IXn4e53AHcAmNl8d5/alUb1BWp3/6J29y9qd/+idvcvZjY/33Xobbk88Po1YLyZjTWzOOmFTnPb5JkLXGxpxwNVwbB+R2XnApcEry8BHstIP8/Mis1sLOkFWvNy1TgRERERya2c9ai6e8LMrgKeIr3F1J3uvsTMrgiu3w48SXprquWkt6e6rKOywa1vBB4ys38G1gDnBGWWmNlDpBdcJYArteJfREREJLxyuo+quz9JOhjNTLs947UDV2ZbNkjfCpy6lzI3ADd0oYp3dCFvX6J29y9qd/+idvcvanf/0u/abV3dgkNEREREpDfkco6qiIiIiEi39dtA1cxmmtkyM1senHDVp5jZajN7y8wWtqwSNLMhZva0mb0XfN8vI/81wc9imZl9On817xozu9PMNpnZ4oy0LrfTzI4Nfl7LzewWK/BNYffS7uvM7IPgM19oZmdkXAt9u81slJk9Z2bvmNkSM/t6kN6nP+8O2t3XP+8SM5tnZm8G7f6PIL2vf957a3ef/rxbmFnUzN4ws8eD9336827RTrv7xeedlfRJS/3ri/QCrRXAONJbYb0JTMx3vXq4jauBYW3SbgKuDl5fDfwoeD0x+BkUA2ODn000323Isp0nA1OAxfvSTtI7RMwgvR/vn4DT8922brT7OuBb7eTtE+0GDgCmBK8HAO8GbevTn3cH7e7rn7cBFcHrIuBV4Ph+8Hnvrd19+vPOaM83gTnA48H7Pv15d9DufvF5Z/PVX3tUW493dfcmoOWI1r5uFuljZwm+n52R/oC7N7r7KtK7MBzX+9XrOnf/O7CtTXKX2mnp/XgHuvvLnv5tvzejTEHaS7v3pk+02903uPvrwetq4B3Sp8/16c+7g3bvTV9pt7t7TfC2KPhy+v7nvbd2702faDeAmY0EPgP8T0Zyn/68Ya/t3ps+0+5s9ddAdW9Ht/YlDvzFzBZY+jQuaHP8LJB5/Gxf+nl0tZ0HBa/bpofRVWa2yNJTA1qGyPpcu81sDHAM6d6mfvN5t2k39PHPOxgOXUj6YJen3b1ffN57aTf08c8b+CnwbSCVkdbnP2/abzf0/c87K/01UO3OEa1hc6K7TwFOB640s5M7yNsffh7Qs0f2FqLbgEOAycAG4P8F6X2q3WZWATwM/F9339lR1nbS+lK7+/zn7e5Jd59M+qTB48zsyA6y9/V29+nP28z+Cdjk7guyLdJOWl9qd5/+vLuivwaqWR23Gmbuvj74vgl4hPRQ/sZgeADrxvGzIdLVdq4LXrdNDxV33xj8gUsBv2LX9I0+024zKyIdrN3n7n8Ikvv8591eu/vD593C3XcAzwMz6Qefd4vMdveDz/tE4CwzW016Ot4nzOy39P3Pu91294PPO2v9NVDN5njX0DKzcjMb0PIa+BSwmP5z/GyX2hkMJ1Wb2fHBKsmLM8qERss/5oH/Rfozhz7S7qCOvwbecff/yrjUpz/vvbW7H3zelWY2OHhdCnwSWErf/7zbbXdf/7zd/Rp3H+nuY0j/TX7W3b9IH/+899buvv55d0k2K6764hfpo1vfJb1i7nv5rk8Pt20c6VWBbwJLWtoHDAX+CrwXfB+SUeZ7wc9iGSFaKQjcT3pYpJn0/1H+c3faCUwl/Q/BCuC/CQ7DKNSvvbT7N8BbwCLS/5gd0JfaDZxEeihrEbAw+Dqjr3/eHbS7r3/ek4A3gvYtBq4N0vv65723dvfpz7vNz+AUdq1+79Ofdwft7jefd2dfOplKRERERApSfx36FxEREZECp0BVRERERAqSAlURERERKUgKVEVERESkIClQFREREZGCpEBVRERERAqSAlURERERKUgKVEVERESkIP3/tN+sYsk7u+0AAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import seaborn\n",
+    "from matplotlib import rcParams\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# Add same columns to mmr ratings\n",
+    "mmr_rank['username'] = mmr_rank.handle\n",
+    "mmr_rank['ratings'] = mmr_rank.display_rating\n",
+    "\n",
+    "rcParams['figure.figsize'] = (10, 6)\n",
+    "\n",
+    "xlo, xhi = 0, 4500\n",
+    "ylo, yhi = 0, 0.004\n",
+    "def plot_top_k(rankings, k=3):\n",
+    "    for i in range(k):\n",
+    "        plt.axvline(rankings.ratings.iloc[i])\n",
+    "        plt.text(rankings.ratings.iloc[i] - 300, (i+1/2) * yhi / k, rankings.username.iloc[i])\n",
+    "        \n",
+    "def plot_distribution(rankings, title):\n",
+    "    plt.figure()\n",
+    "    data = pd.DataFrame(data={'data': rankings.ratings})\n",
+    "    ax = seaborn.distplot(data, bins=250)\n",
+    "    plot_top_k(rankings)\n",
+    "    ax.set_xlim([xlo, xhi]);\n",
+    "    ax.set_ylim([ylo, yhi]);\n",
+    "    ax.set_title(title);\n",
+    "\n",
+    "plot_distribution(codechef_rank, 'Codechef Ratings')\n",
+    "plot_distribution(mmr_rank, 'EloMMR Ratings')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1e5d7e51-aa04-4118-9036-f2c60f0d9479",
+   "metadata": {},
+   "source": [
+    "We see that EloMMR exhibits a much tighter range of support, whereas ratings for CodeChef are significantly inflated. In particular, the rating gap between `gennady.korotkevich` and second place `maroonrk` reach almost 1300 for CodeChef, but is only 80 points in EloMMR. CodeChef also tends to overuse the middle range of the distribution (around 1500), whereas EloMMR ratings are spread much more smoothly."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "471cd20c-0edc-48e4-b325-1b65526a2376",
+   "metadata": {},
+   "source": [
+    "# Top-50 Ranking Differences"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "81be551f-24c1-4abd-9c36-3b616f3c686f",
+   "metadata": {},
+   "source": [
+    "Let's first take a look at the raw ranklists of the top 50. On the left we have CodeChef, and on the right we have EloMMR."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 283,
+   "id": "1157f527-cf90-4533-b407-886ac0d83dcb",
+   "metadata": {
+    "tags": []
+   },
+   "outputs": [
+    {
+     "ename": "AttributeError",
+     "evalue": "'DataFrame' object has no attribute 'map'",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
+      "\u001b[0;32m/tmp/ipykernel_17803/327872095.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0mcombined\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0md\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreset_index\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdrop\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0md\u001b[0m \u001b[0;32min\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mcc_top50\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmmr_top50\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mcolor\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mcombined\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0musername\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'maroonrk'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'background-color: green'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m''\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      6\u001b[0m \u001b[0mcombined\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstyle\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mapply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m \u001b[0mdisplay\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcombined\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;32m/opt/conda/lib/python3.7/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m   5485\u001b[0m         ):\n\u001b[1;32m   5486\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 5487\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   5488\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   5489\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;31mAttributeError\u001b[0m: 'DataFrame' object has no attribute 'map'"
+     ]
+    }
+   ],
+   "source": [
+    "cc_top50 = codechef_rank.iloc[:50]\n",
+    "mmr_top50 = mmr_rank[['username', 'ratings']].iloc[:50]\n",
+    "\n",
+    "combined = pd.concat([d.reset_index(drop=True) for d in [cc_top50, mmr_top50]], axis=1)\n",
+    "color = (combined.username == 'maroonrk').map({True: 'background-color: green', False: ''})\n",
+    "combined.style.apply(lambda s: color)\n",
+    "display(combined)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "61201e21-7383-4aa6-8349-c26d756e7034",
+   "metadata": {},
+   "source": [
+    "We see many common names in the top-10. Let's quantify exactly what the overlap is."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 281,
+   "id": "2a0fee08-aa7d-4d60-b55b-a64a26b886ed",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Overlapping top-50 players:\n",
+      "{'lhic', 'peehs_moorhsum', 'progmatic', 'ACRush', 'msm1993', 'kutengine', 'lyrically', 'spycheese', 'rns5', 'alex_2oo8', 'he_____he', 'heno239', 'mugurelionut', 'oilhun', 'ccz181078', 'ceilks', 'kut_hbi1998', 'ksun48', 'rns4', 'neal', 'maksim1744', 'kal013', 'petr', 'endagorion', 'maroonrk', 'tmwilliamlin', 'white2302', 'sansen', 'tmyklebu', 'bigbag', 'geothermal', 'gennady.korotkevich', 'um_nik', 'noimi'}\n",
+      "Size of overlap: 34 \n",
+      "\n",
+      "Unique EloMMR players: {'skyfire', 'tute7627', 'wrong_answer_1', 'scheffeli', 'wasa855', 'ssrs', 'kotatsugame', 'grumpy_gordon', 'hitonanode', 'rns_cus', 'vercingetorix', 'potato167', 'xaphoenix', 'uwi', 'jeroenodb', 'natsugiri'}\n",
+      "Unique CodeChef players: {'waterfalls', 'hh_algos', 'stonefeang', 'kut_hgs1997', 'fjzzq2002', 'ecnerwala', 'ryodan', 'algmyr', 'Fdg', 'iafir', 'dj3500', 'gainullinildar', 'isaf27', 'gorre_morre', 'aawisong', 'b524'}\n"
+     ]
+    }
+   ],
+   "source": [
+    "overlap = set(cc_top50.username) & set(mmr_top50.username)\n",
+    "\n",
+    "print('Overlapping top-50 players:')\n",
+    "print(overlap)\n",
+    "print('Size of overlap:', len(overlap), '\\n')\n",
+    "\n",
+    "print('Unique EloMMR players:', set(mmr_top50.username) - overlap)\n",
+    "print('Unique CodeChef players:', set(cc_top50.username) - overlap)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ce44ecc9-7c3c-478d-93e0-483ce2431d0b",
+   "metadata": {},
+   "source": [
+    "Almost 70% of the top-50 list overlaps. Next, let's look at the relationship between CodeChef and EloMMR ratings."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "757a63b3-1dc0-4970-aaa1-c8999c0fa649",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}

From dad64e4884507cb5441f722aef2b304c1d0d8712 Mon Sep 17 00:00:00 2001
From: Paul Liu <paul.liu@stanford.edu>
Date: Fri, 29 Apr 2022 17:11:32 +0000
Subject: [PATCH 2/6] More additions to cc experiments.

---
 scripts/notebooks/codechef-experiments.ipynb | 577 ++++++++++++++++---
 1 file changed, 512 insertions(+), 65 deletions(-)

diff --git a/scripts/notebooks/codechef-experiments.ipynb b/scripts/notebooks/codechef-experiments.ipynb
index eebad839..a633a749 100644
--- a/scripts/notebooks/codechef-experiments.ipynb
+++ b/scripts/notebooks/codechef-experiments.ipynb
@@ -23,11 +23,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 436,
    "id": "ba9c365e-8724-4a22-b7c1-f5fcc9ddad06",
    "metadata": {},
    "outputs": [],
    "source": [
+    "import warnings\n",
+    "warnings.simplefilter(action='ignore', category=FutureWarning)\n",
+    "\n",
     "import os\n",
     "import pandas as pd\n",
     "from tqdm.notebook import tqdm"
@@ -49,14 +52,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 167,
+   "execution_count": 437,
    "id": "3fb6a0be-393c-4a13-a8a6-f1c240182814",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "4928f8100f824be5a005935e47c70134",
+       "model_id": "2412e64504dd4e55901182bdb7b4f0be",
        "version_major": 2,
        "version_minor": 0
       },
@@ -137,14 +140,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 244,
+   "execution_count": 525,
    "id": "678d6f6b-0f18-4b4e-a40c-c3ce4ca6a779",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "75b0d6fb323943c29b21624e2472a116",
+       "model_id": "993ffa1a0e924fcaa68792b9a1d27a3c",
        "version_major": 2,
        "version_minor": 0
       },
@@ -159,7 +162,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Ranking deviation percentage (mmr vs. cc): 0.1846255006533524 0.19375879824853307\n"
+      "Ranking deviation percentage (mmr vs. cc): 0.18465993909696637 0.1937954106820019\n"
      ]
     }
    ],
@@ -231,8 +234,8 @@
     "        r_mmr = mmr_final[user]\n",
     "        r_cc = codechef_final[user]\n",
     "        \n",
-    "        rankdev_mmr += rank_dev(r_mmr, *result[1:]) / num_participants\n",
-    "        rankdev_cc += rank_dev(r_cc, *result[1:]) / num_participants\n",
+    "        rankdev_mmr += rank_dev(r_mmr, *result[1:]) / (num_participants - 1)\n",
+    "        rankdev_cc += rank_dev(r_cc, *result[1:]) / (num_participants - 1)\n",
     "        \n",
     "        num_obs += 1\n",
     "    \n",
@@ -265,23 +268,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 257,
+   "execution_count": 439,
    "id": "d49276a5-31ec-42ac-9878-d23019770135",
    "metadata": {},
    "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/opt/conda/lib/python3.7/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
-      "  warnings.warn(msg, FutureWarning)\n",
-      "/opt/conda/lib/python3.7/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
-      "  warnings.warn(msg, FutureWarning)\n"
-     ]
-    },
     {
      "data": {
-      "image/png": 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\n",
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ffdTU1DSVFRER6S4UBGagSZMmcf7553PCCSfw+c9/nokTJ9KrVy8eeughfvvb33LCCSdw/PHH8/TTTx/U/Xv37s1Xv/pVxo4dywUXXMCkSZOart1///1ce+21TJ06lcLCwv3KnXTSSfTs2ZM5c+YAcNNNNzF//vz98lx00UV89atf5fzzz2fmzJmMGzeOE044gU996lPcdtttDBw48ID6XHPNNUSjUcaOHcvFF1/MAw88QDgc5qyzzuL9998/YGHIaaedxu233865555L//79+clPfsI555zDuHHjmD59etMw+WGHHcbo0aPZuHFji8HnjBkzOP/885k4cSLjx4/vlO1nREREsoV1ZCgu10ycONE1H9b84IMPOO6449JUo32qqqooKSmhpqaGadOmce+99zJhwoS01mnr1q2ceeaZrFq1ikBA/3/IlJ+VOB0bJ9K+DeXeQrShvf+1xesPLPOuzx7f8nWRzjT7Ke/n7YELkvt5M7OlzrmJnfX++kueoebOncv48eOZMGECX/jCF9IeAD744INMmTKFW265RQGgiIhIDtDCkAz18MMPp7sK+7niiiu44oor0l0NERER6STq0hERERHphhQEioiIiHRDCgJFcszDb21qWiQiIiLSGgWBIiIiIt2QgkA5aCUlJemugoiIiBwkBYE5LFXHnTnniMViKbm3HJyXV+1gV1V9uqshIiJZREFgBtqwYQOjRo3iqquuYsyYMVx++eW88MILnHrqqYwYMYLFixezePFiTjnlFE488UROOeUUVq9eDcADDzzARRddxHnnncc555zD7t27ueCCCxg3bhwnn3wyy5cvB2g1/eabb+YrX/kKZ555JsOHD+eOO+5oqtNxxx3HNddcw4QJE9i8eXNTfXfu3MnUqVN59tlnu/g7JQDbKmqZ88Db/Oz5D3nwzQ2s21mV7iqJiEgW0D6Bbfjrmkf5pGpLp95zYMlgZhxz4Dm2za1Zs4Y//vGP3HvvvUyaNImHH36YhQsXMn/+fP7zP/+TBx98kFdffZW8vDxeeOEFfvCDH/DEE08A8Oabb7J8+XL69OnDv/zLv3DiiSfy1FNP8dJLL3HFFVewbNkyfvjDH7aYDrBq1SpefvllKisrGTlyJF//+tcBWL16Nffffz+/+tWvmuq5fft2zj//fH7yk58wffr0Tv1eSXK27/V6AEcN7MHG3TX89rX1fHP6sWmulYiIZDoFgRlq2LBhjB07FoDjjz+es88+GzNj7NixbNiwgYqKCq688ko++ugjzIzGxsamstOnT6dPnz4ALFy4sCk4/NSnPsWuXbuoqKhoNR3g3HPPJRwOEw6H6d+/P9u3bwfgqKOO4uSTT256n8bGRs4++2zuuusuzjjjjNR/U6RFTyz1/qNy1qj+xGKOe15dx+7qhjTXSkREMp2CwDYk02OXKuFwuOl5IBBoeh0IBIhEIvz7v/87Z511Fk8++SQbNmzgzDPPbMpfXFzc9Lyls6HNrNX05u8dDAab5hYm3hcgLy+Pk046ieeee05BYBpV1fufTziPWMz7XKvrUzMfVEREcofmBGapiooKBg0aBHjzAFszbdo0HnroIQBeeeUV+vXrR8+ePVtN7wgz47777mPVqlXceuutB9cQOWTxILAknEdRyPt/XXVDNJ1VEhGRLKCewCz13e9+lyuvvJKf/exnfOpTn2o1380338ycOXMYN24cRUVF/O53v2szvaOCwSDz5s3jvPPOo2fPnlxzzTUHdR85eFV1EcJ5AfKDAfICjoBBjXoCRUSkHQoCM9DQoUNZsWJF0+vEnr7Eax9++GFT+o9//GMAZs+ezezZs5vS+/Tpw9NPP33Ae7SWfvPNN+/3OrEeic8Bqqq8VaihUIjnnnuunVZJqlTVRygJe7/KZkZxKI/qBgWBIiLSNg0Hi2S5qvoIJQX7/j9XFA5SXa/hYBERaZuCQJEsl9gTCFAUyqNGPYEiItIOBYEiWa6qbv8gsDiknkAREWmfgkCRLNYYjVHbGN0/CAxrTqCIiLQvpUGgmc0ws9VmtsbMbmjhupnZHf715WY2ob2yZvZjP+8yM/ubmR3hpw81s1o/fZmZ3ZPKtolkgvim0PvNCQzlUdsQJRo7cC9IERGRuJQFgWYWBO4CZgKjgUvNbHSzbDOBEf5jLnB3EmV/6pwb55wbDzwD3JRwv7XOufH+4+rUtEwkc5RVekfG7d8TGMQBe2sbWyklIiKS2p7AycAa59w651wDMA+Y1SzPLOBB51kE9Dazw9sq65zbm1C+GMjJ7o4nn3wSM2PVqlVNaYsXL2batGmMHDmSUaNGcdVVV1FTU8MDDzxAaWkp48ePZ9SoUfz85z8/qPe8+eabuf322zurCdIFdlYdGATGN4zepaPjRESkDakMAgcBmxNeb/HTksnTZlkzu8XMNgOXs39P4DAze8fM/m5mp7dUKTOba2ZLzGxJWVlZR9vUZR555BFOO+005s2bB8D27du56KKL+O///m9Wr17NBx98wIwZM6isrATg4osvZtmyZbz++uvccsstbN68ua3bS47YWeUPBzfrCQTYU6MgUEREWpfKINBaSGvea9danjbLOududM4NAR4CrvOTtwFHOudOBL4FPGxmB5yD5py71zk30Tk3sbS0NIlmdL2qqipef/11fvvb3zYFgXfddRdXXnklU6dOBbxNgS+88EIGDBiwX9m+fftyzDHHsG3bNjZs2MCYMWOart1+++1Nm0HfcccdjB49mnHjxnHJJZc05Xn//fc588wzGT58OHfccUeKWyqHqqWewGK/J3C3egJFRKQNqTwxZAswJOH1YGBrknlCSZQFeBh4Fvihc64eqAdwzi01s7XAscCSg23AJ1WPUhfZcrDFW1SQN5iBJRe3meepp55ixowZHHvssfTp04d//OMfrFixgiuvvLLd+2/atIm6ujrGjRvHJ5980mq+W2+9lfXr1xMOhykvL29KX7VqFS+//DKVlZWMHDmSr3/96+Tn5yfdPulau6rqyQ8aobx9/58rCnk9gQoCRUSkLansCXwbGGFmw8wsBFwCzG+WZz5whb9K+GSgwjm3ra2yZjYiofz5wCo/vdRfUIKZDcdbbLIudc1LnUceeaSpd+6SSy7hkUceabfMo48+yvHHH8/w4cP5xje+QUFBQZv5x40bx+WXX84f/vAH8vL2/V/g3HPPJRwO069fP/r378/27dsPrTGSUjurGigJ52G2r/O8OKyeQBERaV/KegKdcxEzuw54DggC9znnVprZ1f71e4AFwGeANUANMKetsv6tbzWzkUAM2AjEVwFPA35kZhEgClztnNt9KG1or8cuFXbt2sVLL73EihUrMDOi0ShmxpVXXsnSpUuZNav52hrPxRdfzJ133smbb77Jueeey8yZM8nLyyMWizXlqaura3r+7LPP8uqrrzJ//nx+/OMfs3Kl9+0Nh8NNeYLBIJGI9pvLZDur6vcbCgbIDwYIBQPsURAoIiJtSOk+gc65Bc65Y51zRzvnbvHT7vEDQPxVwdf618c655a0VdZP/4Jzboy/Tcx5zrmP/fQnnHPHO+dOcM5NcM79OZVtS5XHH3+cK664go0bN7JhwwY2b97MsGHD+Kd/+id+97vf8dZbbzXl/cMf/nDAkO/UqVP58pe/zC9/+UsGDBjAjh072LVrF/X19TzzzDMAxGIxNm/ezFlnncVtt91GeXk5VVVVXdpO6RxllQcGgeCdH6yeQBERaYtODMkwjzzyCJ/73Of2S/vCF77AvHnzmDdvHt/+9rcZOXIkxx13HK+99ho9ex6w9oXvfe973H///dTV1XHTTTcxZcoUPvvZzzJq1CgAotEoX/rSlxg7diwnnngi3/zmN+ndu3dXNE862c6qhqbh30TFoTx2a3WwiIi0IZULQ+QgvPLKKwekXX/99U3PX3vttQOuz549m9mzZze9PuKII5p6CK+//vr9ysctXLjwgLT4yuG4FStWJFlrSYdYzLG7up4xgw78j0BxOKjhYBERaZN6AkWy1J6aBmKOloeDQ3naLFpERNqkIFAkS7W0UXRccUg9gSIi0jYFgSJZqmmj6IIWgsBwHtUNUeoao11dLRERyRIKAlvgXE4eRyydKBN+Rlo6LSQufn6wjo4TEZHWKAhspqCggF27dmXEH3nJTM45du3a1e6G3KnW1nCwTg0REZH2aHVwM4MHD2bLli2UlZWluyqSwQoKChg8eHBa67DTPzKuMD94wLX4tjF7qhu7uloiIpIlFAQ2k5+fz7Bhw9JdDZF27aysp29xeL8j4+KK/Z7AXdX1XV0tERHJEhoOFslSO6vq6dcj1OK1oqaeQA0Hi4hIyxQEimSpnVUN9CsJt3itKBTEDHbXaDhYRERapiBQJEvtqvKGg1sSMKN3YT67NRwsIiKtUBAokoWcc5RV1VPao+UgEOCw4pAWhoiISKsUBIpkofKaRhqjjv5tBIF9ikLaIkZERFql1cEiWajM3yi6tEeYyrpIi3mqG6Lsrq7pymqJiEgWUU+gSBYqq/SCwLZ6AotDQWrqdWyciIi0TEGgSBbaUVkH0OacQO/84IhOvxERkRYpCBTJQvGewLaCwIL8IDEHNQ3qDRQRkQMpCBTJQjv21lOYH2zx3OC4cJ73611d3/KcQRER6d4UBIpkofj2MC0dGRcXDwKrFASKiEgLFASKZKGyyvo2F4XAviBQw8EiItISBYEiWWhHZdsbRQOE8oKAegJFRKRlCgJFslBZEkGg5gSKiEhbFASKZJm6xigVtY1JDwerJ1BERFqiE0NEssjDb21iT413FFy7PYH53nBwtTaMFhGRFqgnUCTLVPnHxGk4WEREDoWCQJEsU1nXCED/HgVt5gtpOFhERNqgIFAky1TWJ9cTGDAjP2jqCRQRkRYpCBTJMpV1Ecygb3Go3bzhvCDVDQoCRUTkQAoCRbJMZV2EvsUh8oLt//qG8wJUaWGIiIi0QEGgSJapqmukX0nbQ8Fx4byAhoNFRKRFCgJFskxlfYT+PdteFBIXygtqYYiIiLQopUGgmc0ws9VmtsbMbmjhupnZHf715WY2ob2yZvZjP+8yM/ubmR2RcO37fv7VZvbpVLZNJF0q6yKUqidQREQOUcqCQDMLAncBM4HRwKVmNrpZtpnACP8xF7g7ibI/dc6Nc86NB54BbvLLjAYuAY4HZgC/8u8jkjOcc1TVRejfM8kgMF9BoIiItCyVPYGTgTXOuXXOuQZgHjCrWZ5ZwIPOswjobWaHt1XWObc3oXwx4BLuNc85V++cWw+s8e8jkjNqG6JEnetQT6AWhoiISEtSGQQOAjYnvN7ipyWTp82yZnaLmW0GLsfvCUzy/TCzuWa2xMyWlJWVdahBIumW7B6BceG8oHoCRUSkRakMAq2FNJdknjbLOududM4NAR4CruvA++Gcu9c5N9E5N7G0tLTFiotkqkr/yLj+SQaBobwAtY1RorEDfhVERKSbS2UQuAUYkvB6MLA1yTzJlAV4GPhCB95PJKvFj4xLvifQPz9YG0aLiEgzqQwC3wZGmNkwMwvhLdqY3yzPfOAKf5XwyUCFc25bW2XNbERC+fOBVQn3usTMwmY2DG+xyeJUNU4kHZp6ApPcIiac562N0pCwiIg0l5eqGzvnImZ2HfAcEATuc86tNLOr/ev3AAuAz+At4qgB5rRV1r/1rWY2EogBG4H4/Vaa2WPA+0AEuNY5pxnxklOq6iPkB43iUHIL35t6AhUEiohIMykLAgGccwvwAr3EtHsSnjvg2mTL+ulfaCF7/NotwC0HW1+RTFdZ10iPgnzMWpoCe6B4EPjE0o/53sxRqayaiIhkGZ0YIpJFquujSfcCAoTyvV/x+kgsVVUSEZEspSBQJIvURaIUdiAIjM8JbIhoZoSIiOxPQaBIFqlrjDUFdsmIDwerJ1BERJpTECiSReoboxTkJ/9rqyBQRERaoyBQJIvURaId7An08ioIFBGR5lK6OlhEOk8kGqMx6gjnB3j4rU1JlckPGgbUa06giIg0o55AkSxRXe8FcgUd6Ak0M0J5AfUEiojIARQEimSJvf6RcR2ZEwjevMCGRgWBIiKyPwWBIlmiyj/1oyNzAuP5NRwsIiLNKQgUyRJNQWBHewLzNRwsIiIH0sIQkSzw8FubWPXJXqBjcwIBzQkUEZEWqSdQJEvU+/P6OtwTmBekQUGgiIg0oyBQJEvURTq+Ohi8hSGaEygiIs0pCBTJEvGewIL8gwkC1RMoIiL7UxAokiXqIlEMbwPojlAQKCIiLVEQKJIl6htjhPMDmHUsCAzlBYnGnOYFiojIfhQEimSJ+ki0w0PB4PUEAlT7W8yIiIiAgkCRrFHXGOvwohDYFwRWKQgUEZEECgJFskRdJNoU0HVE2O89rG5QECgiIvsoCBTJEvWNMQ0Hi4hIp1EQKJIl6iPRDm8UDYnDwdorUERE9lEQKJIl6hpjhA9iTmBIPYEiItICBYEiWaI+EqXgYOYE+oGjFoaIiEgiBYEiWSAaczRGXdMij47QnEAREWmJgkCRLFDf6J8bfAhzAhUEiohIIgWBIlmgzj/t42DmBOYFAwTNtDBERET2oyBQJAvURw6+JxC8xSHqCRQRkUQKAkWyQF3jwfcEAoTzFQSKiMj+FASKZIFDmRMI3rxArQ4WEZFECgJFskB8TuDBnB0MXg+ijo0TEZFECgJFskB8TuDBnBgC8Z5ALQwREZF9FASKZIFDnROohSEiItJcSoNAM5thZqvNbI2Z3dDCdTOzO/zry81sQntlzeynZrbKz/+kmfX204eaWa2ZLfMf96SybSJdqb4xSsAgP2gHVT6cF1QQKCIi+0lZEGhmQeAuYCYwGrjUzEY3yzYTGOE/5gJ3J1H2eWCMc24c8CHw/YT7rXXOjfcfV6emZSJdry7inRtsdrBBoBaGiIjI/lLZEzgZWOOcW+ecawDmAbOa5ZkFPOg8i4DeZnZ4W2Wdc39zzsX/mi0CBqewDSIZob4xetArg8ELAqvrIzjnOrFWIiKSzVIZBA4CNie83uKnJZMnmbIAXwH+kvB6mJm9Y2Z/N7PTW6qUmc01syVmtqSsrCy5loikWbwn8GCF8wLE3L65hSIiIqkMAlsat2reDdFannbLmtmNQAR4yE/aBhzpnDsR+BbwsJn1POAmzt3rnJvonJtYWlraThNEMsOh9gSG8r0AUkPCIiISl8ogcAswJOH1YGBrknnaLGtmVwKfBS53/viWc67eObfLf74UWAsc2yktEUmz+k7oCQS0OERERJqkMgh8GxhhZsPMLARcAsxvlmc+cIW/SvhkoMI5t62tsmY2A/gecL5zriZ+IzMr9ReUYGbD8RabrEth+0S6TF1j9KD3CIR9QaB6AkVEJC4vVTd2zkXM7DrgOSAI3OecW2lmV/vX7wEWAJ8B1gA1wJy2yvq3vhMIA8/7KyUX+SuBpwE/MrMIEAWuds7tTlX7RLpSXSRGQf6h9AR6ZWsatGG0iIh4UhYEAjjnFuAFeolp9yQ8d8C1yZb1049pJf8TwBOHUl+RTFXfGKUg79B7AjUcLCIicToxRCTDNURiRGKO8CH0BIY0HCwiIs0oCBTJcPHATT2BIiLSmRQEimS4qjovcDuUnsD4nED1BIqISJyCQJEMV1nfCBxaT2CoqSdQC0NERMSjIFAkw1V2Qk9gMGAU5AeoblBPoIiIeBQEimS4+HBwwSFsFg1QEs7TcLCIiDRRECiS4eKB26FsFg1QHM7TwhAREWmiIFAkw1XWeXMCw4cwJxCgOKQgUERE9lEQKJLhKuNbxBzCnEDQcLCIiOxPQaBIhquqixAwyAvYId2nOBzU6mAREWmiIFAkw9U0RAnlBfDPyj5omhMoIiKJFASKZLi6xiih4KH/qmo4WEREEikIFMlwtY1R8jshCFRPoIiIJFIQKJLh4sPBh6o4nEd1Q5RYzHVCrUREJNspCBTJcHWd1BNYEvZWF9c0anGIiIgoCBTJeLUNUfKDh7YoBLyeQEBDwiIiAigIFMl4nTUnsMQPArU4REREQEGgSMar7aw5gSH1BIqIyD5J/WUxsyfM7FwzU9Ao0sU6c3UwqCdQREQ8yf5luRu4DPjIzG41s1EprJOIJOjs4WCdGiIiIpBkEOice8E5dzkwAdgAPG9mb5jZHDPLT2UFRbq72oYooU5ZGOKtDtZwsIiIQAfmBJpZX2A2cBXwDvBLvKDw+ZTUTESIxhz1kRj5nTAnUAtDREQkUV4ymczsT8Ao4PfAec65bf6lR81sSaoqJ9Ld1fl7+nXGsXHaIkZERBIlFQQC/+ecW5CYYGZh51y9c25iCuolInjzAYFOmRNYFApipiBQREQ8yf5l+UkLaW92ZkVE5EC1DZ0XBJoZxaE8qrQwREREaKcn0MwGAoOAQjM7EYjPTu8JFKW4biLdXrwnsDP2CQRvcYh6AkVEBNofDv403mKQwcDPEtIrgR+kqE4i4tvXE3joq4PBmxdY1aAgUERE2gkCnXO/A35nZl9wzj3RRXUSEV9nzgkEb4WwegJFRATaHw7+knPuD8BQM/tW8+vOuZ+1UExEOkltJ64OBu/oOAWBIiIC7Q8HF/tfS1JdERE5UNNwcKfNCczj4/LaTrmXiIhkt/aGg3/tf/2PrqmOiCSKB4Gd1RNYooUhIiLiS+ovi5ndZmY9zSzfzF40s51m9qUkys0ws9VmtsbMbmjhupnZHf715WY2ob2yZvZTM1vl53/SzHonXPu+n3+1mX06mbaJZLJ9cwI7b2GIgkAREYHk9wk8xzm3F/gssAU4FvhOWwXMLAjcBcwERgOXmtnoZtlmAiP8x1zg7iTKPg+Mcc6NAz4Evu+XGQ1cAhwPzAB+5d9HJGvVpWBhiI6NExERSD4IzPe/fgZ4xDm3O4kyk4E1zrl1zrkGYB4wq1meWcCDzrMI6G1mh7dV1jn3N+dc/K/YIrzta+L3muefYrIeWOPfRyRr1XTiZtHg9QTWR2JEorFOuZ+IiGSvZP+y/NnMVgETgRfNrBSoa6fMIGBzwustfloyeZIpC/AV4C8deD+RrFLbGCUUDBAMdN5wMEC1Tg0REen2kgoCnXM3AFOBic65RqCaA3v1mmvpr5ZLMk+7Zc3sRiACPNSB98PM5prZEjNbUlZW1kIRkcxR2xClIL9zegHBWxgCaMNoERFpd4uYRMfh7ReYWObBNvJvAYYkvB4MbE0yT6itsmZ2Jd78xLOdc/FAL5n3wzl3L3AvwMSJEw8IEkUySV1jlMJQ501t3dcTqCBQRKS7S3Z18O+B24HTgEn+Y2I7xd4GRpjZMDML4S3amN8sz3zgCn+V8MlAhXNuW1tlzWwG8D3gfOdcTbN7XWJmYTMbhrfYZHEy7RPJVDUNUYpCHfm/WtviQaAWh4iISLJ/XSYCoxN63drlnIuY2XXAc0AQuM85t9LMrvav3wMswFtssgaoAea0Vda/9Z1AGHjezAAWOeeu9u/9GPA+3jDxtc45TXySrFbbGKUgv/N6AkvUEygiIr5kg8AVwEBgW0du7pxbgBfoJabdk/DcAdcmW9ZPP6aN97sFuKUjdRTJZHWNUQo7cU5gkT+0rCBQRESSDQL7Ae+b2WKgPp7onDs/JbUSEcBbGNJZcwIffmsTu6q8X98qrQ4WEen2kg0Cb05lJUSkZTUNUXoXhTrtfuF89QSKiIgnqSDQOfd3MzsKGOGce8HMivDm6olICnX26uBwnje0rIUhIiKS7OrgrwKPA7/2kwYBT6WoTiLiq+3kOYF5ASNg6gkUEZHkTwy5FjgV2AvgnPsI6J+qSomIxwsCO68n0MwI5QUUBIqISNJBYL1/hi8A/obR2mhZJMVqGqIUduI+gQAFeUEtDBERkaSDwL+b2Q+AQjObDvwR+HPqqiUi0ZijIRLr1J5AgMJQkIrahvYziohITks2CLwBKAPeA76Gt3/fv6WqUiLiLQoBKAx13pxA735B9tQ0duo9RUQk+yS7OjhmZk8BTznnylJbJREBbz4g0Ok9gcWhPPbUqCdQRKS7a7OLwT/T92Yz2wmsAlabWZmZ3dQ11RPpvmob4j2BnTsnsCgUpFw9gSIi3V5740z/D29V8CTnXF/nXB9gCnCqmX0z1ZUT6c5S1RPoBYENxGJa2yUi0p21FwReAVzqnFsfT3DOrQO+5F8TkRTZ1xPYuXMCi0J5xBzsrVNvoIhId9beX5d859zO5on+vMD81FRJRGBfT2BBCnoCAS0OERHp5toLAtuaPa6Z5SIpFO8JLOr0OYHe/bQ4RESke2vvr8sJZra3hXQDClJQHxHxpXJOIMCeagWBIiLdWZtBoHOuc//6iEjSmuYEajhYRERSoHNnnItIp2maE5iChSEA5RoOFhHp1hQEimSoeE/gs+9u69T7FuQHCBgs/OiANV8iItKNKAgUyVDxnsC8YOf+mpoZhaE8avwgU0REuicFgSIZqrYxSjBgBAPW6fcuCgWpboh0+n1FRCR7KAgUyVC1DVHyg50fAIIXBKonUESke1MQKJKhahuihDp5KDiuKJTXNOdQRES6JwWBIhmqtjFKfoqCwOJQkBoNB4uIdGsKAkUyVG1jlFBeqnoCg1Q3RHHOpeT+IiKS+RQEimSouhT2BBaF8ojGnOYFioh0YwoCRTJUTUrnBMZPDdGG0SIi3ZWCQJEMlerVwQDlOjpORKTbUhAokqHqGqPkp2xOoHd0nHoCRUS6LwWBIhkqlauD4z2Bu6sVBIqIdFcKAkUyVErnBIa9nkANB4uIdF8KAkUyVCp7AgvztTBERKS7UxAokoGiMUdDJEZ+XmoWhgQDRkF+QD2BIiLdWEqDQDObYWarzWyNmd3QwnUzszv868vNbEJ7Zc3sIjNbaWYxM5uYkD7UzGrNbJn/uCeVbRNJpbpGb/++VA0Hg7c4RHMCRUS6r7xU3djMgsBdwHRgC/C2mc13zr2fkG0mMMJ/TAHuBqa0U3YF8Hng1y287Vrn3PgUNUmky8Q3cU7VcDB4i0M0HCwi0n2lsidwMrDGObfOOdcAzANmNcszC3jQeRYBvc3s8LbKOuc+cM6tTmG9RdKua3oCgxoOFhHpxlIZBA4CNie83uKnJZMnmbItGWZm75jZ383s9JYymNlcM1tiZkvKysqSuKVI16v1g8BU7RMI3nCwegJFRLqvVAaBLc1ob35afWt5kinb3DbgSOfcicC3gIfNrOcBN3HuXufcROfcxNLS0nZuKZIetU3DwalZGAJQHAqyR3MCRUS6rVQGgVuAIQmvBwNbk8yTTNn9OOfqnXO7/OdLgbXAsQdVc5E0i88JTOVwcGEoj+qGKA2RWMreQ0REMlcqg8C3gRFmNszMQsAlwPxmeeYDV/irhE8GKpxz25Isux8zK/UXlGBmw/EWm6zr3CaJdI34nMBULwwBKNeQsIhIt5Sy1cHOuYiZXQc8BwSB+5xzK83sav/6PcAC4DPAGqAGmNNWWQAz+xzwv0Ap8KyZLXPOfRqYBvzIzCJAFLjaObc7Ve0TSaWm1cEpnRMY3zC6kf49C1L2PiIikplSFgQCOOcW4AV6iWn3JDx3wLXJlvXTnwSebCH9CeCJQ6yySEaorPNW7cZP9kiFYv/oOC0OERHpnnRiiEgGKq9NfRDY1BOoxSEiIt2SgkCRDFRe00goL5DS1cFFoXhPoPYKFBHpjhQEimSgitoGehfmY5bCLWLCQQIG2ypqU/YeIiKSuRQEimSg8ppGehflp/Q98gIBBh9WxPqd1Sl9HxERyUwKAkUyUHlNI70LQyl/n2H9ihUEioh0UwoCRTJQeW0jvVLcEwj7gkBvob6IiHQnCgJFMlBFjTcnMNWGlxZT0xClrLI+5e8lIiKZJaX7BIrIwSmvbaRXFwSBw/oVA7BuZ/V+G0Y//NampueXTTky5fUQEZGup55AkQxTH4lS0xBN+cIQ2BcEal6giEj3oyBQJMNU+BtF9ypK/cKQI3oVEsoLKAgUEemGFASKZJgKf/PmrpgTGAgYQ/sWsa5MQaCISHejIFAkw8SPjOuK4eCH39pEXiDA+p1VKX8vERHJLAoCRTJMeVNPYOqHgwH6lYTZtLuGSDTWJe8nIiKZQUGgSIYpr2kAuqYnEKBfSYjGqOPjcu/4uLc37OZ3b2xgb63OFBYRyWUKAkUyzL6FIV0VBIYBb5sYgF++8BGrt1dy3+vrqa6PdEkdRESk6ykIFMkw5TWNBANGj3DXbOPZr4cXBK4vq2bz7hoWrtnJcYf3ZHd1Aw+8sYG9deoRFBHJRQoCRTJMeW0DvQrzMbMueb/iUJAeBXms31nNY0s2EzA4b9zhXDblSLZV1PLFe97cb/NoERHJDToxRCTDlNc0dsn2MHFmxrB+xXy0o5INO2s449hSeheF6F0UYsrwvry9fjcxnS0sIpJz1BMokmEqahu7bD5g3LB+xby1fjef7K3j4kn7jokb2LOASMw1rVgWEZHcoSBQJMN0dU8geEGgc1ASzqOssr4pvdRfNLKzqr61oiIikqUUBIpkmPLaBnp3wZFxieJnCE848jCCgX1zEeOLRhIDQxERyQ0KAkUyTHlNI726uCdw6vC+nD6iHycP77NfenEoSGF+UEGgiEgOUhAokkEi0RiVdZEu2yg6rn/PAn7/z1MO6IE0M0p7hCnTcLCISM5RECiSQfbWeZszr9lRlTHbspSWhNmpnkARkZyjIFAkg8SPjCsKBdNck31Ke4SprI9o02gRkRyjIFAkg5T7R8YV5mfOFp5Nx8qVVae5JiIi0pkUBIpkkAp/P75M6wkEWLujKs01ERGRzpQ53Q0iQnmtNxxc2MVBYFvzD/sUhwgYrNupIFBEJJeoJ1Akg8RP5ijKz5yewGDA6FMcZu0ODQeLiOQSBYEiGSQeBBZk0HAweEPC6gkUEcktCgJFMkhFbSM9C/IImLWfuQuVloTYsLOGSDSW7qqIiEgnURAokkHKa7r+yLhklPYI0xCNsWVPbbqrIiIinSSlQaCZzTCz1Wa2xsxuaOG6mdkd/vXlZjahvbJmdpGZrTSzmJlNbHa/7/v5V5vZp1PZNpFUKK9t7PLTQpLRtE2MhoRFRHJGyoJAMwsCdwEzgdHApWY2ulm2mcAI/zEXuDuJsiuAzwOvNnu/0cAlwPHADOBX/n1EskY6zg1ORmlJfJsYLQ4REckVqewJnAyscc6tc841APOAWc3yzAIedJ5FQG8zO7ytss65D5xzq1t4v1nAPOdcvXNuPbDGv49I1qiobczI4eCicB5FoSDPrfwk3VUREZFOksogcBCwOeH1Fj8tmTzJlD2Y98PM5prZEjNbUlZW1s4tRbpWRW0jvQozc/vO/j3ClOkMYRGRnJHKILCl5Y0uyTzJlD2Y98M5d69zbqJzbmJpaWk7txTpOrGY8xaGFGZeTyBA/54FbK+sw7n2fhVFRCQbpDII3AIMSXg9GNiaZJ5kyh7M+4lkrKqGCDFHRi4MARjQs4C6xhjb96o3UEQkF6QyCHwbGGFmw8wshLdoY36zPPOBK/xVwicDFc65bUmWbW4+cImZhc1sGN5ik8Wd2SCRVNpT7R0Zl4kLQwAG+GcIf7i9Ms01ERGRzpCyINA5FwGuA54DPgAec86tNLOrzexqP9sCYB3eIo7fANe0VRbAzD5nZluAqcCzZvacX2Yl8BjwPvBX4FrnXDRV7RPpbBt31QAwpE9RmmvSsv49CwAFgSIiuSKlM9CdcwvwAr3EtHsSnjvg2mTL+ulPAk+2UuYW4JZDqLJI2qwt8/bgO7q0hHVlmbcVS0k4j+JQkI+2a69AEZFcoBNDRDLE2rIqehbk0a8kMxeGgDcvcLV6AkVEcoKCQJEM8caaXfQqzOeRxZvbz5wm/XsWsGZHlVYIi4jkAAWBIhmirKqe0h4F6a5Gmwb0DFNVH2FrRV26qyIiIodIQaBIBqisa6SyLkKpvwI3U/XvocUhIiK5QkGgSAaILwSJn9GbqQb09Or3kYJAEZGspyBQJAPEVwZnek9gUSiP/j3CrP5EK4RFRLKdgkCRDLC2rIqAQZ/izF0ZHHfsgB58tEM9gSIi2U5BoEgGWLujmr7FYYKBlo7AziwjBpTw0fYqYjGtEBYRyWYKAkUywNqyqowfCo47dkAPahujfFxem+6qiIjIIVAQKJJmkWiMDbuqsyoIBFj9iYaERUSymYJAkTTbvKeWxqjL+JXBce9uLgfQySEiIllOQaBImq3dkR0rg+MK8oP0KQ7x3paKdFdFREQOgYJAkTSLbw/TL0t6AgEGH1bI8i3l6a6GiIgcAgWBImkWXxRSGAqmuypJG3xYEVsr6thRqePjRESylYJAkTRbW1bN0aXF6a5Ghww5rBCA5Zs1JCwikq0UBIqkkXOONTuqGF5aku6qdMjhvQoJBox3NSQsIpK1FASKpNH6ndVU1DYyblCvdFelQ0J5AUb0L+FdLQ4REclaCgJF0mjJxj0AfFKRfXPrxg/pzfIt5Tink0NERLKRgkCRNFq6YQ+F+UH6Zcn2MInqGmOU1zSyaXdNuqsiIiIHQUGgSBot2bibo/oWEbDMPzO4ucH+4pBl/ubRIiKSXRQEiqTJnuoG1pZVc1SfonRX5aAM6FlAXsBYrnmBIiJZSUGgSJos9ecDHtk3u7aHiQsGjCN6a9NoEZFspSBQJE0efHMjQbOmYdVsNPiwQt77uIJINJbuqoiISAcpCBRJk427qzmidwH5wez9NRx8WBF1jTE+3F6V7qqIiEgHZe9fH5Es1hCJ8fGeWo7K0qHguPh8xrfW70pzTUREpKMUBIqkwYqtFURijiOzdFFI3GHFIYb3K+aV1WXproqIiHSQgkCRNFi6wVsUclTf7A4CAc4YWcqidbuoa4ymuyoiItIBCgJF0mDJxt30KQ7RoyA/3VU5ZM5BfSTGonUaEhYRySYKAkW6WGM0xhtrdjG8X3bPB4wb1q+YvIDx9w81JCwikk0UBIp0sSUb9lBZH2HkwB7prkqnyA8GGF5azN81L1BEJKsoCBTpYi+v3kF+0DimtCTdVek0xw7owbqd1WzapXOERUSyhYJAkS720qodTBnWl3B+MN1V6TTH9vd6Nf/+kXoDRUSyRUqDQDObYWarzWyNmd3QwnUzszv868vNbEJ7Zc2sj5k9b2Yf+V8P89OHmlmtmS3zH/eksm0iB2Pz7hrW7KjirFH9012VTtW3JMSRfYr4++od6a6KiIgkKWVBoJkFgbuAmcBo4FIzG90s20xghP+YC9ydRNkbgBedcyOAF/3XcWudc+P9x9WpaZnIwXtplRckfSrHgkAz44xjS3ljrbaKERHJFqnsCZwMrHHOrXPONQDzgFnN8swCHnSeRUBvMzu8nbKzgN/5z38HXJDCNogclIff2sTDb206IP2lVTvoWxzizbW5t53KOccPoKYhygsfbE93VUREJAmpDAIHAZsTXm/x05LJ01bZAc65bQD+18QulWFm9o6Z/d3MTm+pUmY218yWmNmSsjLNX5KuU9MQ4c11uxiVI6uCmzv16H4M6l3Io29vbj+ziIikXSqDQGshzSWZJ5myzW0DjnTOnQh8C3jYzHoecBPn7nXOTXTOTSwtLW3nliKd5401u2iIxBg58IAfy5wQCBhfnDiE1z7ayebdWiUsIpLpUhkEbgGGJLweDGxNMk9bZbf7Q8b4X3cAOOfqnXO7/OdLgbXAsZ3SEpFDFIs57n9jPSXhPIbmwFFxLXn4rU3kBw0DHlui3kARkUyXyiDwbWCEmQ0zsxBwCTC/WZ75wBX+KuGTgQp/iLetsvOBK/3nVwJPA5hZqb+gBDMbjrfYZF3qmieSvLteXsPra3bxg88cR14wd3dm6l0UYsSAEv64ZAuRaCzd1RERkTak7K+Rcy4CXAc8B3wAPOacW2lmV5tZfOXuArxAbQ3wG+Catsr6ZW4FppvZR8B0/zXANGC5mb0LPA5c7Zzbnar2iSTrjbU7+fkLHzJ+SG+ca29WQ/abNLQPn+yt41XtGSgiktHyUnlz59wCvEAvMe2ehOcOuDbZsn76LuDsFtKfAJ44xCqLdKr1O6u5/pFlDOtXzKzxR2DW0nTX3DJqYE+Kw3n89LkP+dSoAemujoiItCJ3x6VE0qi6PsKfl2/lnJ//nbrGKL+6/CTCeblzQkhbggFj4lGHsWrbXtaWVaW7OiIi0goFgSKd7OPyWn72/IcsWruLC08azEv/egYjc3RbmNacekw/8oLGXS+vSXdVRESkFSkdDhbpjh5dvIm6xijXnHUM3/n0yHRXJy1KwnlMGdaXp5dt5fpPjWBov+L9ridupH3ZlCO7unoiIoJ6AkU6VTTmeHzpFo7pX8Kg3oXprk5anT6iH3kB9QaKiGQq9QSKdKI31u5ka0Udl0zytrls6ei47qJHQT6XTTmSB9/cyPVnj2BIn9zcH1FEJFupJ1CkE/1xyRZ6FeZz3OG5eSpIRw3oUYABP3rmfRoi+/YN/GRvHQ+8sZ73Pq5o9ZxlERFJLQWBIp2koqaRv678hFnjjyA/hzeE7oiehflMHz2A59/fzlceeJu9dY0s/Ggnv/77Wj7aXsUjizfxxNIt1DdG011VEZFuR8PBIp1k/vKtNERifHHiEJZvqUh3dTLG6SNKKQrl8eQ7Wzjvfxfy8Z5a+pWE+dLJR7F04x5eWb2DDbuqmXXiIPoUh9JdXRGRbkPdFdKtxYciD3U40jnHo29vYtTAHhx/hIaCmzvpqMOYfcowdlc1cMox/Zg7bTh9ikNMHz2Afz5tGHtqGrj9b6vTXU0RkW5FQaBIJ/jZ8x+y4uO9XHnK0G5xKsjBOKZ/CYtv/Cd+N2cSBfn7Ns4eXlrCycP78sjiTaz4WD2oIiJdRUGgdAupXHzw2JLN/O9La7h44hBiMadFDm0oDAVbDJLPHjWAw4pC/MefV3aL85VFRDKBgkCRQ/D6mp384E/vcUz/EsYM6qVewINUGApyxrGlvL1hD/Pf3Zru6oiIdAsKAkUO0uNLtzDngbc5urSEyyYfSTCgAPBQnHTUYRzRu4D/XPABFTWN6a6OiEjOUxAoOW/FxxX8duE6Xlm9g63ltQBs31vH08s+5o21O1n9SSW7quqJxZIbhmyMxrj03kV8+4/vctKRh/HwV6fsN8dNWtfWsHzAjAvGD2JXVQM3PvWehoVFRFJMW8RITltbVsUV9y2mqj7C2rJqnv9gO0f0KuRjPxhM9Mzybfzw/NGccnS/Vu+3dONubnp6JSu37uW0Y/rx6eMH8tzK7alsQrcy+LAivjn9WH763Go+Nao/n58wON1VEhHJWQoCJWdtLa/ly//3FgGD6846hoAZkViM1Z9UMvuUoUw9ui+vr9nJrqoGPtlbxz827eGy37zFZ8YOZOrR/QgHA+QFjZiDaCzGW+t386d/fMzhvQq4bPKRjBnUK91NzEm9CvMZ2reIm55eyaShfXTcnIhIiigIlJy0tbyWL/32LSrrIsz72sm8u3nf1iP9exRw2ZQjAVi+pYIeBfkM7VfMbReO4zevruNXr6xlwXufHHDPoBlnHFvKmSNLCedp+DdVAmZcNHEId7z4EZf9ZhEv/uuZhPI0c0VEpLMpCJScs+qTvcy+722q6iNcNvnI/QLAtvzpHx/TtyTMOzdNZ29dI48v2UI05jAzAgYF+UHN/esihxWF+PyEwTyyeBP/9ZcP+OF5x6e7SiIiOUdBoOSMh9/axLqyKh5dspmiUJDHvjaVZZvLO3yfP/3jYwB6F+kIs3QaO6gXG4/uy/2vb+Ckow7js+OOSHeVRERyioJAyQnOORau2clfV2yjb0mYK6cObTMA1IbO2WHGmIHUNUb53uPLGTWwB8f075HuKomI5AxNtJGsV1Uf4dqH/8GC97YxcmBPrp52tHrxckReIMD00QPBjAvueoOVW3WsnIhIZ1EQKFlty54aPv+r1/nrik+YcfxAvjTlSApDmreXS3oV5vPV04YRDBgX/3oRb6zdme4qiYjkBAWBkrVu++sqZvziNTbtrmH2KcOYdmypjm3LUf17FnD1GUdTFAry5d8u5k//2JLuKomIZD0FgZJ1GqMxfv/mBn7z2jryg8bV047mmP4l6a6WpFivwnzmThvOkX2K+NZj73Lz/JU0RmPprpaISNbSwhBJufgijPjefAfDOcdvXlvPmh1VLF6/iw27ahjWr5hLJg2hR0F+Z1VVMlxRKI+vnDqMv67YxgNvbGDl1gp+euEJDO1XfEDexmiM+cu2snDNTo7qW8Q3zh6hnmIRkQQKAiWj3f3KWh5bspmt5bXUR7xen1EDe3Df7IlsK6/TH/VuKBgwzh13BIMPK+LZ97Zxzs9fZe604Vx71jEUhoI45/jb+9v577+sYt3O6qZyv3tjA1edPpy504aTH9QgiIiIgkDJWBW1jTzwxnrKaxo58cjD6Fscon+PMP/+2dEEAqZtXrq5E4b0ZlhpMX9d8Ql3vryGe19bR37AiDpHXWOM0pIwXz75KPqVhNm4q5r3t+3lp8+t5tnl27jtwnE69k9Euj0FgZKR6iNRvvb7JZRV1jP7lGH7zfmb9/bmNNZMMknPgny+OHEIk4b24YNtexk1sAdmsKuqgROPPIxgwOspLu0RZuLQPqz4uILnP9jOrLteZ+604Xzj7BE6BUZEui0FgZIye+sa+f4T71HTEOH0EaVJlyurrOfGJ99j0brdXHTSYC36kHYN61fMsIR5gcP6tZxvzKBeHF1awoL3tnH3K2t5bsUn/NfnxzJleN8uqqmISOZQECgpUVnXyJX3LWb5lgqiMceidbuJxGJcPuUoisMH/tj9YdFGKusi1DZE+L+F66mPxPi3c4+jKKQfUelchaEgXzhpMOOG9OKpdz7m4nsXMXZQLy6ZPITzTjiCnlpoJCLdhP7CSqerro8w5/63Wb6lgrsum8B7H1fwt5Wf8J8LVnHnS2u4dPKRzBgzkHc3l/PqRztZ8XEFZZX1OL/8ueMOZ+SAHgoAJaVG9O/BN84+liUbd7Nkwx5ufHIFNz29knGDe3HK0X2ZOrwfJx11mDYfF5GcldK/smY2A/glEAT+zzl3a7Pr5l//DFADzHbO/aOtsmbWB3gUGApsAL7onNvjX/s+8M9AFLjeOfdcKtsn+4tEY/xlxSfc+dIaPtpRyf9eOoEZYwayu7qBOacOY+TAHtz3+nr+b+F6fv3qOgCG9i1i2rGl7KpqoEdBHl87YzjHH9FLiz6kS4TyApxydD+mDu/Llj21fLBtL+t2VnP3K2u56+W1hIIBxh/Zm6nD+3LK0X0Zf2RvwnkKCkUkN6QsCDSzIHAXMB3YArxtZvOdc+8nZJsJjPAfU4C7gSntlL0BeNE5d6uZ3eC//p6ZjQYuAY4HjgBeMLNjnXPRVLWxO4jFHPWRGHWNUeoiUeoaY9T7X+sao1TWRdi8u4bNe2p44YPtbN5dy/B+xfz6yxOZPnrAfvda/Uklpx7dj+MP78mGXdUMOayIviXh/fK8u7mCdzfrfFjpWmbGkD5FDOlTBEB9Y5QNu2pYt7OKdWXV3PHiR/zyxY8IBQOU9ghzWHE+JeE8GiIx6hpjmHmLVHoW5tGrMJ+eBfn0KsyntEeYgb0KOLxXIQN7FtCzME/bGolIxkhlT+BkYI1zbh2Amc0DZgGJQeAs4EHnnAMWmVlvMzscr5evtbKzgDP98r8DXgG+56fPc87VA+vNbI1fhzdbq+BHO6q4/DeL6FUU4rPjDueI3oUM6BkmaNY0NOkcOJz/1du02Ll992h+nXge/xoJ12LOEY05YjH/uXPEYl5atNl9E0VjjoZIjMZojIZozH/ucLRSwBeJOuoao/uCuMaYH8h5afWN+4K5ukiU+qbrXlp9o/d+yQjlBTiiVyFfmnIkow7vSVllfau9eb2LQowvCiV1X5F0COcHGTmwByMH9gCgtiHKhl3VbNxVTVV9hOr6KNvq6sgPBMgLGjjYWlHLup1Rahui1DZGaYwe+PtZmB9kQM8wJQV5FIfyKAnnUew/SsJB/2se+cEAwYB5DzMCASMv4H0NmhEMQDAQIBiAgBl5gQCBAP61ffkCZph5eysGzAiYF/AGDP+1EQgkPG9+PbB/XjO8B8kHsh2NeTuSvaMBteH9+wzef3Bb5qW71v5B7qS6iGSCVAaBg4DEvTy24PX2tZdnUDtlBzjntgE457aZWf+Eey1q4V6tikRjLN6wm8aoY8F729pvURYLmpEXNPKCAfKDRn7A+5oX9P6I5QcChPMClITz9uXz8+Qn5MnzX8fLhvMC9C4KURwK6h9ByVmFoSDHHd6T4w7vmXSZSDRGZX2EvbWNVNQ2Nn2trI9Q3xhje109myM13n/IIl4Pe0uBo3SuW7+4G4CzHlvQ4vUZk73rN89r+Xo6ZFognfy9O3TrDv3nwi+Qiqxe/g7du4Pfw8Tsfbyft9E3/fWAfPnBAO/+8JwO3bujUhkEtvRdaf4vXGt5kil7MO+Hmc0F5vov69f857kr2rlvLuoH7Ex3JdJA7e5e1O7uJal2X/rfbV//dSdVpgvp885hdvMBSSM78/6pDAK3AEMSXg8GtiaZJ9RG2e1mdrjfC3g4sKMD74dz7l7gXgAzW+Kcm9iRRuUCtbt7Ubu7F7W7e1G7uxczW9KZ90vlAZpvAyPMbJiZhfAWbcxvlmc+cIV5TgYq/KHetsrOB670n18JPJ2QfomZhc1sGN5ik8WpapyIiIhINktZT6BzLmJm1wHP4W3zcp9zbqWZXe1fvwdYgLc9zBq8LWLmtFXWv/WtwGNm9s/AJuAiv8xKM3sMb/FIBLhWK4NFREREWpbSfQKdcwvwAr3EtHsSnjvg2mTL+um7gLNbKXMLcEsHqnhvB/LmErW7e1G7uxe1u3tRu7uXTm23dXQZvIiIiIhkv1TOCRQRERGRDNVtg0Azm2Fmq81sjX/ySE4xsw1m9p6ZLYuvJjKzPmb2vJl95H89LCH/9/3vxWoz+3T6at4xZnafme0wsxUJaR1up5md5H+/1pjZHZbhmx620u6bzexj/zNfZmafSbiW9e02syFm9rKZfWBmK83sG356Tn/ebbQ71z/vAjNbbGbv+u3+Dz891z/v1tqd0593nJkFzewdM3vGf53Tn3dcC+3ums/bOwGjez3wFpusBYbjbUfzLjA63fXq5DZuAPo1S7sNuMF/fgPw3/7z0f73IAwM8783wXS3Icl2TgMmACsOpZ14K8mn4u03+RdgZrrbdhDtvhn4dgt5c6LdwOHABP95D+BDv205/Xm30e5c/7wNKPGf5wNvASd3g8+7tXbn9Oed0J5vAQ8Dz/ivc/rzbqPdXfJ5d9eewKYj7ZxzDUD8WLpcNwvvqD38rxckpM9zztU759bjrdae3PXV6zjn3KvA7mbJHWqneftN9nTOvem836QHE8pkpFba3ZqcaLdzbptz7h/+80rgA7xTgXL6826j3a3JlXY751yV/zLffzhy//Nurd2tyYl2A5jZYOBc4P8SknP684ZW292aTm13dw0CWzuuLpc44G9mttS8U1Kg2ZF7QOKRe7n0/ehoOwf5z5unZ6PrzGy5ecPF8WGTnGu3mQ0FTsTrJek2n3ezdkOOf97+ENkyvEMBnnfOdYvPu5V2Q45/3sAvgO8CiYfW5/znTcvthi74vLtrEHgwx9Jlm1OdcxOAmcC1Zjatjbzd4fsBnXtMYSa6GzgaGA9sA/7HT8+pdptZCfAE8P+cc3vbytpCWi61O+c/b+dc1Dk3Hu8EqMlmNqaN7Lne7pz+vM3ss8AO59zSZIu0kJZL7e6Sz7u7BoFJHTGXzZxzW/2vO4An8YZ3t/tdxthBHLmXRTrazi3+8+bpWcU5t93/4xEDfsO+If2cabeZ5eMFQg855/7kJ+f8591Su7vD5x3nnCsHXgFm0A0+77jEdneDz/tU4Hwz24A3RetTZvYHcv/zbrHdXfV5d9cgMJkj7bKWmRWbWY/4c+AcYAXd58i9DrXTH2KoNLOT/dVUVySUyRrxfyh9n8P7zCFH2u3X8bfAB865nyVcyunPu7V2d4PPu9TMevvPC4F/AlaR+593i+3O9c/bOfd959xg59xQvL/JLznnvkSOf96ttbvLPu/2Vo7k6gPvuLoP8VbW3Jju+nRy24bjrR56F1gZbx/QF3gR+Mj/2iehzI3+92I1WbCSKqHej+B1lTfi/U/onw+mncBE/5dsLXAn/kbqmfpopd2/B94Dlvv/UByeS+0GTsMb3lgOLPMfn8n1z7uNduf65z0OeMdv3wrgJj891z/v1tqd0593s+/BmexbJZvTn3cb7e6Sz1snhoiIiIh0Q911OFhERESkW1MQKCIiItINKQgUERER6YYUBIqIiIh0QwoCRURERLohBYEiIiIi3ZCCQBEREZFuSEGgiIiISDf0/wHOGtCJr47T2gAAAABJRU5ErkJggg==\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -293,7 +286,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -305,8 +298,8 @@
     }
    ],
    "source": [
-    "import seaborn\n",
-    "from matplotlib import rcParams\n",
+    "import seaborn as sns\n",
+    "from matplotlib import rcParams, cm\n",
     "import matplotlib.pyplot as plt\n",
     "\n",
     "# Add same columns to mmr ratings\n",
@@ -318,14 +311,16 @@
     "xlo, xhi = 0, 4500\n",
     "ylo, yhi = 0, 0.004\n",
     "def plot_top_k(rankings, k=3):\n",
+    "    cmap = cm.get_cmap('summer')\n",
     "    for i in range(k):\n",
-    "        plt.axvline(rankings.ratings.iloc[i])\n",
-    "        plt.text(rankings.ratings.iloc[i] - 300, (i+1/2) * yhi / k, rankings.username.iloc[i])\n",
+    "        col = cmap((i+1/2)/k)\n",
+    "        plt.axvline(rankings.ratings.iloc[i], label=rankings.username.iloc[i], color=col)\n",
+    "    plt.legend()\n",
     "        \n",
     "def plot_distribution(rankings, title):\n",
     "    plt.figure()\n",
     "    data = pd.DataFrame(data={'data': rankings.ratings})\n",
-    "    ax = seaborn.distplot(data, bins=250)\n",
+    "    ax = sns.distplot(data, bins=250)\n",
     "    plot_top_k(rankings)\n",
     "    ax.set_xlim([xlo, xhi]);\n",
     "    ax.set_ylim([ylo, yhi]);\n",
@@ -340,7 +335,7 @@
    "id": "1e5d7e51-aa04-4118-9036-f2c60f0d9479",
    "metadata": {},
    "source": [
-    "We see that EloMMR exhibits a much tighter range of support, whereas ratings for CodeChef are significantly inflated. In particular, the rating gap between `gennady.korotkevich` and second place `maroonrk` reach almost 1300 for CodeChef, but is only 80 points in EloMMR. CodeChef also tends to overuse the middle range of the distribution (around 1500), whereas EloMMR ratings are spread much more smoothly."
+    "We see that EloMMR exhibits a much smaller range of support, whereas ratings for CodeChef are significantly inflated (up to over 4400). In particular, the rating gap between `gennady.korotkevich` and second place `maroonrk` reaches almost 1300 for CodeChef, but is only 80 points in EloMMR. CodeChef also tends to overuse the middle range of the distribution (around 1500), whereas EloMMR ratings are spread much more smoothly."
    ]
   },
   {
@@ -356,90 +351,542 @@
    "id": "81be551f-24c1-4abd-9c36-3b616f3c686f",
    "metadata": {},
    "source": [
-    "Let's first take a look at the raw ranklists of the top 50. On the left we have CodeChef, and on the right we have EloMMR."
+    "Let's first take a look at the raw ranklists of the top 50. On the left we have CodeChef, and on the right we have EloMMR. We see many common names (in green) between the two lists. In fact, almost 70% of the top-50 list overlaps. "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 283,
-   "id": "1157f527-cf90-4533-b407-886ac0d83dcb",
+   "execution_count": 444,
+   "id": "29042084-070b-4c82-ad0a-3516443e4585",
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "ename": "AttributeError",
-     "evalue": "'DataFrame' object has no attribute 'map'",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
-      "\u001b[0;32m/tmp/ipykernel_17803/327872095.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0mcombined\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mconcat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0md\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreset_index\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdrop\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0md\u001b[0m \u001b[0;32min\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mcc_top50\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmmr_top50\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mcolor\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mcombined\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0musername\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'maroonrk'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'background-color: green'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m''\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      6\u001b[0m \u001b[0mcombined\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstyle\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mapply\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m \u001b[0mdisplay\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcombined\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;32m/opt/conda/lib/python3.7/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m   5485\u001b[0m         ):\n\u001b[1;32m   5486\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 5487\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   5488\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   5489\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m__setattr__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;31mAttributeError\u001b[0m: 'DataFrame' object has no attribute 'map'"
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Overlapping top-50 players:\n",
+      "{'lhic', 'peehs_moorhsum', 'progmatic', 'ACRush', 'msm1993', 'kutengine', 'lyrically', 'spycheese', 'rns5', 'alex_2oo8', 'he_____he', 'heno239', 'mugurelionut', 'oilhun', 'ccz181078', 'ceilks', 'kut_hbi1998', 'ksun48', 'rns4', 'neal', 'maksim1744', 'kal013', 'petr', 'endagorion', 'maroonrk', 'tmwilliamlin', 'white2302', 'sansen', 'tmyklebu', 'bigbag', 'geothermal', 'gennady.korotkevich', 'um_nik', 'noimi'}\n",
+      "Size of overlap: 34 \n",
+      "\n",
+      "Unique EloMMR players: {'skyfire', 'tute7627', 'wrong_answer_1', 'scheffeli', 'wasa855', 'ssrs', 'kotatsugame', 'grumpy_gordon', 'hitonanode', 'rns_cus', 'vercingetorix', 'potato167', 'xaphoenix', 'uwi', 'jeroenodb', 'natsugiri'}\n",
+      "Unique CodeChef players: {'waterfalls', 'hh_algos', 'stonefeang', 'kut_hgs1997', 'fjzzq2002', 'ecnerwala', 'ryodan', 'algmyr', 'Fdg', 'iafir', 'dj3500', 'gainullinildar', 'isaf27', 'gorre_morre', 'aawisong', 'b524'}\n"
      ]
+    },
+    {
+     "data": {
+      "text/html": [
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+       "  background-color: lightyellow;\n",
+       "}\n",
+       "</style>\n",
+       "<table id=\"T_ba7ca_\">\n",
+       "  <thead>\n",
+       "    <tr>\n",
+       "      <th class=\"blank level0\" >&nbsp;</th>\n",
+       "      <th class=\"col_heading level0 col0\" >username (cc)</th>\n",
+       "      <th class=\"col_heading level0 col1\" >ratings (cc)</th>\n",
+       "      <th class=\"col_heading level0 col2\" >username (mmr)</th>\n",
+       "      <th class=\"col_heading level0 col3\" >ratings (mmr)</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
+       "      <td id=\"T_ba7ca_row0_col0\" class=\"data row0 col0\" >gennady.korotkevich</td>\n",
+       "      <td id=\"T_ba7ca_row0_col1\" class=\"data row0 col1\" >4410</td>\n",
+       "      <td id=\"T_ba7ca_row0_col2\" class=\"data row0 col2\" >gennady.korotkevich</td>\n",
+       "      <td id=\"T_ba7ca_row0_col3\" class=\"data row0 col3\" >3305</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
+       "      <td id=\"T_ba7ca_row1_col0\" class=\"data row1 col0\" >maroonrk</td>\n",
+       "      <td id=\"T_ba7ca_row1_col1\" class=\"data row1 col1\" >3148</td>\n",
+       "      <td id=\"T_ba7ca_row1_col2\" class=\"data row1 col2\" >maroonrk</td>\n",
+       "      <td id=\"T_ba7ca_row1_col3\" class=\"data row1 col3\" >3225</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
+       "      <td id=\"T_ba7ca_row2_col0\" class=\"data row2 col0\" >ACRush</td>\n",
+       "      <td id=\"T_ba7ca_row2_col1\" class=\"data row2 col1\" >3084</td>\n",
+       "      <td id=\"T_ba7ca_row2_col2\" class=\"data row2 col2\" >ksun48</td>\n",
+       "      <td id=\"T_ba7ca_row2_col3\" class=\"data row2 col3\" >3163</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
+       "      <td id=\"T_ba7ca_row3_col0\" class=\"data row3 col0\" >rns4</td>\n",
+       "      <td id=\"T_ba7ca_row3_col1\" class=\"data row3 col1\" >3061</td>\n",
+       "      <td id=\"T_ba7ca_row3_col2\" class=\"data row3 col2\" >spycheese</td>\n",
+       "      <td id=\"T_ba7ca_row3_col3\" class=\"data row3 col3\" >3068</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
+       "      <td id=\"T_ba7ca_row4_col0\" class=\"data row4 col0\" >lyrically</td>\n",
+       "      <td id=\"T_ba7ca_row4_col1\" class=\"data row4 col1\" >3046</td>\n",
+       "      <td id=\"T_ba7ca_row4_col2\" class=\"data row4 col2\" >lyrically</td>\n",
+       "      <td id=\"T_ba7ca_row4_col3\" class=\"data row4 col3\" >3055</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row5\" class=\"row_heading level0 row5\" >5</th>\n",
+       "      <td id=\"T_ba7ca_row5_col0\" class=\"data row5 col0\" >kutengine</td>\n",
+       "      <td id=\"T_ba7ca_row5_col1\" class=\"data row5 col1\" >3046</td>\n",
+       "      <td id=\"T_ba7ca_row5_col2\" class=\"data row5 col2\" >petr</td>\n",
+       "      <td id=\"T_ba7ca_row5_col3\" class=\"data row5 col3\" >3013</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
+       "      <td id=\"T_ba7ca_row6_col0\" class=\"data row6 col0\" >ksun48</td>\n",
+       "      <td id=\"T_ba7ca_row6_col1\" class=\"data row6 col1\" >3033</td>\n",
+       "      <td id=\"T_ba7ca_row6_col2\" class=\"data row6 col2\" >mugurelionut</td>\n",
+       "      <td id=\"T_ba7ca_row6_col3\" class=\"data row6 col3\" >3002</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
+       "      <td id=\"T_ba7ca_row7_col0\" class=\"data row7 col0\" >petr</td>\n",
+       "      <td id=\"T_ba7ca_row7_col1\" class=\"data row7 col1\" >3020</td>\n",
+       "      <td id=\"T_ba7ca_row7_col2\" class=\"data row7 col2\" >peehs_moorhsum</td>\n",
+       "      <td id=\"T_ba7ca_row7_col3\" class=\"data row7 col3\" >3001</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
+       "      <td id=\"T_ba7ca_row8_col0\" class=\"data row8 col0\" >peehs_moorhsum</td>\n",
+       "      <td id=\"T_ba7ca_row8_col1\" class=\"data row8 col1\" >2971</td>\n",
+       "      <td id=\"T_ba7ca_row8_col2\" class=\"data row8 col2\" >noimi</td>\n",
+       "      <td id=\"T_ba7ca_row8_col3\" class=\"data row8 col3\" >2993</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
+       "      <td id=\"T_ba7ca_row9_col0\" class=\"data row9 col0\" >progmatic</td>\n",
+       "      <td id=\"T_ba7ca_row9_col1\" class=\"data row9 col1\" >2935</td>\n",
+       "      <td id=\"T_ba7ca_row9_col2\" class=\"data row9 col2\" >heno239</td>\n",
+       "      <td id=\"T_ba7ca_row9_col3\" class=\"data row9 col3\" >2990</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
+       "      <td id=\"T_ba7ca_row10_col0\" class=\"data row10 col0\" >um_nik</td>\n",
+       "      <td id=\"T_ba7ca_row10_col1\" class=\"data row10 col1\" >2929</td>\n",
+       "      <td id=\"T_ba7ca_row10_col2\" class=\"data row10 col2\" >ceilks</td>\n",
+       "      <td id=\"T_ba7ca_row10_col3\" class=\"data row10 col3\" >2952</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
+       "      <td id=\"T_ba7ca_row11_col0\" class=\"data row11 col0\" >b524</td>\n",
+       "      <td id=\"T_ba7ca_row11_col1\" class=\"data row11 col1\" >2910</td>\n",
+       "      <td id=\"T_ba7ca_row11_col2\" class=\"data row11 col2\" >neal</td>\n",
+       "      <td id=\"T_ba7ca_row11_col3\" class=\"data row11 col3\" >2950</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
+       "      <td id=\"T_ba7ca_row12_col0\" class=\"data row12 col0\" >neal</td>\n",
+       "      <td id=\"T_ba7ca_row12_col1\" class=\"data row12 col1\" >2898</td>\n",
+       "      <td id=\"T_ba7ca_row12_col2\" class=\"data row12 col2\" >geothermal</td>\n",
+       "      <td id=\"T_ba7ca_row12_col3\" class=\"data row12 col3\" >2945</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row13\" class=\"row_heading level0 row13\" >13</th>\n",
+       "      <td id=\"T_ba7ca_row13_col0\" class=\"data row13 col0\" >spycheese</td>\n",
+       "      <td id=\"T_ba7ca_row13_col1\" class=\"data row13 col1\" >2895</td>\n",
+       "      <td id=\"T_ba7ca_row13_col2\" class=\"data row13 col2\" >rns5</td>\n",
+       "      <td id=\"T_ba7ca_row13_col3\" class=\"data row13 col3\" >2944</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row14\" class=\"row_heading level0 row14\" >14</th>\n",
+       "      <td id=\"T_ba7ca_row14_col0\" class=\"data row14 col0\" >kut_hbi1998</td>\n",
+       "      <td id=\"T_ba7ca_row14_col1\" class=\"data row14 col1\" >2894</td>\n",
+       "      <td id=\"T_ba7ca_row14_col2\" class=\"data row14 col2\" >kutengine</td>\n",
+       "      <td id=\"T_ba7ca_row14_col3\" class=\"data row14 col3\" >2932</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row15\" class=\"row_heading level0 row15\" >15</th>\n",
+       "      <td id=\"T_ba7ca_row15_col0\" class=\"data row15 col0\" >mugurelionut</td>\n",
+       "      <td id=\"T_ba7ca_row15_col1\" class=\"data row15 col1\" >2892</td>\n",
+       "      <td id=\"T_ba7ca_row15_col2\" class=\"data row15 col2\" >rns4</td>\n",
+       "      <td id=\"T_ba7ca_row15_col3\" class=\"data row15 col3\" >2932</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row16\" class=\"row_heading level0 row16\" >16</th>\n",
+       "      <td id=\"T_ba7ca_row16_col0\" class=\"data row16 col0\" >rns5</td>\n",
+       "      <td id=\"T_ba7ca_row16_col1\" class=\"data row16 col1\" >2879</td>\n",
+       "      <td id=\"T_ba7ca_row16_col2\" class=\"data row16 col2\" >vercingetorix</td>\n",
+       "      <td id=\"T_ba7ca_row16_col3\" class=\"data row16 col3\" >2932</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row17\" class=\"row_heading level0 row17\" >17</th>\n",
+       "      <td id=\"T_ba7ca_row17_col0\" class=\"data row17 col0\" >white2302</td>\n",
+       "      <td id=\"T_ba7ca_row17_col1\" class=\"data row17 col1\" >2879</td>\n",
+       "      <td id=\"T_ba7ca_row17_col2\" class=\"data row17 col2\" >ACRush</td>\n",
+       "      <td id=\"T_ba7ca_row17_col3\" class=\"data row17 col3\" >2925</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row18\" class=\"row_heading level0 row18\" >18</th>\n",
+       "      <td id=\"T_ba7ca_row18_col0\" class=\"data row18 col0\" >noimi</td>\n",
+       "      <td id=\"T_ba7ca_row18_col1\" class=\"data row18 col1\" >2859</td>\n",
+       "      <td id=\"T_ba7ca_row18_col2\" class=\"data row18 col2\" >oilhun</td>\n",
+       "      <td id=\"T_ba7ca_row18_col3\" class=\"data row18 col3\" >2922</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row19\" class=\"row_heading level0 row19\" >19</th>\n",
+       "      <td id=\"T_ba7ca_row19_col0\" class=\"data row19 col0\" >tmyklebu</td>\n",
+       "      <td id=\"T_ba7ca_row19_col1\" class=\"data row19 col1\" >2855</td>\n",
+       "      <td id=\"T_ba7ca_row19_col2\" class=\"data row19 col2\" >maksim1744</td>\n",
+       "      <td id=\"T_ba7ca_row19_col3\" class=\"data row19 col3\" >2919</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row20\" class=\"row_heading level0 row20\" >20</th>\n",
+       "      <td id=\"T_ba7ca_row20_col0\" class=\"data row20 col0\" >ceilks</td>\n",
+       "      <td id=\"T_ba7ca_row20_col1\" class=\"data row20 col1\" >2855</td>\n",
+       "      <td id=\"T_ba7ca_row20_col2\" class=\"data row20 col2\" >xaphoenix</td>\n",
+       "      <td id=\"T_ba7ca_row20_col3\" class=\"data row20 col3\" >2918</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row21\" class=\"row_heading level0 row21\" >21</th>\n",
+       "      <td id=\"T_ba7ca_row21_col0\" class=\"data row21 col0\" >ryodan</td>\n",
+       "      <td id=\"T_ba7ca_row21_col1\" class=\"data row21 col1\" >2833</td>\n",
+       "      <td id=\"T_ba7ca_row21_col2\" class=\"data row21 col2\" >kut_hbi1998</td>\n",
+       "      <td id=\"T_ba7ca_row21_col3\" class=\"data row21 col3\" >2887</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row22\" class=\"row_heading level0 row22\" >22</th>\n",
+       "      <td id=\"T_ba7ca_row22_col0\" class=\"data row22 col0\" >heno239</td>\n",
+       "      <td id=\"T_ba7ca_row22_col1\" class=\"data row22 col1\" >2822</td>\n",
+       "      <td id=\"T_ba7ca_row22_col2\" class=\"data row22 col2\" >scheffeli</td>\n",
+       "      <td id=\"T_ba7ca_row22_col3\" class=\"data row22 col3\" >2887</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row23\" class=\"row_heading level0 row23\" >23</th>\n",
+       "      <td id=\"T_ba7ca_row23_col0\" class=\"data row23 col0\" >ecnerwala</td>\n",
+       "      <td id=\"T_ba7ca_row23_col1\" class=\"data row23 col1\" >2817</td>\n",
+       "      <td id=\"T_ba7ca_row23_col2\" class=\"data row23 col2\" >rns_cus</td>\n",
+       "      <td id=\"T_ba7ca_row23_col3\" class=\"data row23 col3\" >2884</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row24\" class=\"row_heading level0 row24\" >24</th>\n",
+       "      <td id=\"T_ba7ca_row24_col0\" class=\"data row24 col0\" >msm1993</td>\n",
+       "      <td id=\"T_ba7ca_row24_col1\" class=\"data row24 col1\" >2803</td>\n",
+       "      <td id=\"T_ba7ca_row24_col2\" class=\"data row24 col2\" >white2302</td>\n",
+       "      <td id=\"T_ba7ca_row24_col3\" class=\"data row24 col3\" >2883</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row25\" class=\"row_heading level0 row25\" >25</th>\n",
+       "      <td id=\"T_ba7ca_row25_col0\" class=\"data row25 col0\" >hh_algos</td>\n",
+       "      <td id=\"T_ba7ca_row25_col1\" class=\"data row25 col1\" >2800</td>\n",
+       "      <td id=\"T_ba7ca_row25_col2\" class=\"data row25 col2\" >lhic</td>\n",
+       "      <td id=\"T_ba7ca_row25_col3\" class=\"data row25 col3\" >2882</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row26\" class=\"row_heading level0 row26\" >26</th>\n",
+       "      <td id=\"T_ba7ca_row26_col0\" class=\"data row26 col0\" >kut_hgs1997</td>\n",
+       "      <td id=\"T_ba7ca_row26_col1\" class=\"data row26 col1\" >2798</td>\n",
+       "      <td id=\"T_ba7ca_row26_col2\" class=\"data row26 col2\" >natsugiri</td>\n",
+       "      <td id=\"T_ba7ca_row26_col3\" class=\"data row26 col3\" >2861</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row27\" class=\"row_heading level0 row27\" >27</th>\n",
+       "      <td id=\"T_ba7ca_row27_col0\" class=\"data row27 col0\" >tmwilliamlin</td>\n",
+       "      <td id=\"T_ba7ca_row27_col1\" class=\"data row27 col1\" >2787</td>\n",
+       "      <td id=\"T_ba7ca_row27_col2\" class=\"data row27 col2\" >uwi</td>\n",
+       "      <td id=\"T_ba7ca_row27_col3\" class=\"data row27 col3\" >2859</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row28\" class=\"row_heading level0 row28\" >28</th>\n",
+       "      <td id=\"T_ba7ca_row28_col0\" class=\"data row28 col0\" >sansen</td>\n",
+       "      <td id=\"T_ba7ca_row28_col1\" class=\"data row28 col1\" >2787</td>\n",
+       "      <td id=\"T_ba7ca_row28_col2\" class=\"data row28 col2\" >ssrs</td>\n",
+       "      <td id=\"T_ba7ca_row28_col3\" class=\"data row28 col3\" >2856</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row29\" class=\"row_heading level0 row29\" >29</th>\n",
+       "      <td id=\"T_ba7ca_row29_col0\" class=\"data row29 col0\" >dj3500</td>\n",
+       "      <td id=\"T_ba7ca_row29_col1\" class=\"data row29 col1\" >2780</td>\n",
+       "      <td id=\"T_ba7ca_row29_col2\" class=\"data row29 col2\" >sansen</td>\n",
+       "      <td id=\"T_ba7ca_row29_col3\" class=\"data row29 col3\" >2854</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row30\" class=\"row_heading level0 row30\" >30</th>\n",
+       "      <td id=\"T_ba7ca_row30_col0\" class=\"data row30 col0\" >lhic</td>\n",
+       "      <td id=\"T_ba7ca_row30_col1\" class=\"data row30 col1\" >2772</td>\n",
+       "      <td id=\"T_ba7ca_row30_col2\" class=\"data row30 col2\" >ccz181078</td>\n",
+       "      <td id=\"T_ba7ca_row30_col3\" class=\"data row30 col3\" >2850</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row31\" class=\"row_heading level0 row31\" >31</th>\n",
+       "      <td id=\"T_ba7ca_row31_col0\" class=\"data row31 col0\" >gorre_morre</td>\n",
+       "      <td id=\"T_ba7ca_row31_col1\" class=\"data row31 col1\" >2767</td>\n",
+       "      <td id=\"T_ba7ca_row31_col2\" class=\"data row31 col2\" >progmatic</td>\n",
+       "      <td id=\"T_ba7ca_row31_col3\" class=\"data row31 col3\" >2848</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row32\" class=\"row_heading level0 row32\" >32</th>\n",
+       "      <td id=\"T_ba7ca_row32_col0\" class=\"data row32 col0\" >gainullinildar</td>\n",
+       "      <td id=\"T_ba7ca_row32_col1\" class=\"data row32 col1\" >2767</td>\n",
+       "      <td id=\"T_ba7ca_row32_col2\" class=\"data row32 col2\" >tute7627</td>\n",
+       "      <td id=\"T_ba7ca_row32_col3\" class=\"data row32 col3\" >2842</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row33\" class=\"row_heading level0 row33\" >33</th>\n",
+       "      <td id=\"T_ba7ca_row33_col0\" class=\"data row33 col0\" >maksim1744</td>\n",
+       "      <td id=\"T_ba7ca_row33_col1\" class=\"data row33 col1\" >2764</td>\n",
+       "      <td id=\"T_ba7ca_row33_col2\" class=\"data row33 col2\" >wasa855</td>\n",
+       "      <td id=\"T_ba7ca_row33_col3\" class=\"data row33 col3\" >2840</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row34\" class=\"row_heading level0 row34\" >34</th>\n",
+       "      <td id=\"T_ba7ca_row34_col0\" class=\"data row34 col0\" >oilhun</td>\n",
+       "      <td id=\"T_ba7ca_row34_col1\" class=\"data row34 col1\" >2753</td>\n",
+       "      <td id=\"T_ba7ca_row34_col2\" class=\"data row34 col2\" >msm1993</td>\n",
+       "      <td id=\"T_ba7ca_row34_col3\" class=\"data row34 col3\" >2839</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row35\" class=\"row_heading level0 row35\" >35</th>\n",
+       "      <td id=\"T_ba7ca_row35_col0\" class=\"data row35 col0\" >waterfalls</td>\n",
+       "      <td id=\"T_ba7ca_row35_col1\" class=\"data row35 col1\" >2753</td>\n",
+       "      <td id=\"T_ba7ca_row35_col2\" class=\"data row35 col2\" >tmwilliamlin</td>\n",
+       "      <td id=\"T_ba7ca_row35_col3\" class=\"data row35 col3\" >2838</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row36\" class=\"row_heading level0 row36\" >36</th>\n",
+       "      <td id=\"T_ba7ca_row36_col0\" class=\"data row36 col0\" >bigbag</td>\n",
+       "      <td id=\"T_ba7ca_row36_col1\" class=\"data row36 col1\" >2750</td>\n",
+       "      <td id=\"T_ba7ca_row36_col2\" class=\"data row36 col2\" >kotatsugame</td>\n",
+       "      <td id=\"T_ba7ca_row36_col3\" class=\"data row36 col3\" >2838</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row37\" class=\"row_heading level0 row37\" >37</th>\n",
+       "      <td id=\"T_ba7ca_row37_col0\" class=\"data row37 col0\" >he_____he</td>\n",
+       "      <td id=\"T_ba7ca_row37_col1\" class=\"data row37 col1\" >2748</td>\n",
+       "      <td id=\"T_ba7ca_row37_col2\" class=\"data row37 col2\" >jeroenodb</td>\n",
+       "      <td id=\"T_ba7ca_row37_col3\" class=\"data row37 col3\" >2836</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row38\" class=\"row_heading level0 row38\" >38</th>\n",
+       "      <td id=\"T_ba7ca_row38_col0\" class=\"data row38 col0\" >fjzzq2002</td>\n",
+       "      <td id=\"T_ba7ca_row38_col1\" class=\"data row38 col1\" >2748</td>\n",
+       "      <td id=\"T_ba7ca_row38_col2\" class=\"data row38 col2\" >bigbag</td>\n",
+       "      <td id=\"T_ba7ca_row38_col3\" class=\"data row38 col3\" >2836</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row39\" class=\"row_heading level0 row39\" >39</th>\n",
+       "      <td id=\"T_ba7ca_row39_col0\" class=\"data row39 col0\" >endagorion</td>\n",
+       "      <td id=\"T_ba7ca_row39_col1\" class=\"data row39 col1\" >2746</td>\n",
+       "      <td id=\"T_ba7ca_row39_col2\" class=\"data row39 col2\" >grumpy_gordon</td>\n",
+       "      <td id=\"T_ba7ca_row39_col3\" class=\"data row39 col3\" >2835</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row40\" class=\"row_heading level0 row40\" >40</th>\n",
+       "      <td id=\"T_ba7ca_row40_col0\" class=\"data row40 col0\" >geothermal</td>\n",
+       "      <td id=\"T_ba7ca_row40_col1\" class=\"data row40 col1\" >2741</td>\n",
+       "      <td id=\"T_ba7ca_row40_col2\" class=\"data row40 col2\" >kal013</td>\n",
+       "      <td id=\"T_ba7ca_row40_col3\" class=\"data row40 col3\" >2832</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row41\" class=\"row_heading level0 row41\" >41</th>\n",
+       "      <td id=\"T_ba7ca_row41_col0\" class=\"data row41 col0\" >kal013</td>\n",
+       "      <td id=\"T_ba7ca_row41_col1\" class=\"data row41 col1\" >2726</td>\n",
+       "      <td id=\"T_ba7ca_row41_col2\" class=\"data row41 col2\" >um_nik</td>\n",
+       "      <td id=\"T_ba7ca_row41_col3\" class=\"data row41 col3\" >2830</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row42\" class=\"row_heading level0 row42\" >42</th>\n",
+       "      <td id=\"T_ba7ca_row42_col0\" class=\"data row42 col0\" >algmyr</td>\n",
+       "      <td id=\"T_ba7ca_row42_col1\" class=\"data row42 col1\" >2725</td>\n",
+       "      <td id=\"T_ba7ca_row42_col2\" class=\"data row42 col2\" >skyfire</td>\n",
+       "      <td id=\"T_ba7ca_row42_col3\" class=\"data row42 col3\" >2830</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row43\" class=\"row_heading level0 row43\" >43</th>\n",
+       "      <td id=\"T_ba7ca_row43_col0\" class=\"data row43 col0\" >alex_2oo8</td>\n",
+       "      <td id=\"T_ba7ca_row43_col1\" class=\"data row43 col1\" >2724</td>\n",
+       "      <td id=\"T_ba7ca_row43_col2\" class=\"data row43 col2\" >hitonanode</td>\n",
+       "      <td id=\"T_ba7ca_row43_col3\" class=\"data row43 col3\" >2828</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row44\" class=\"row_heading level0 row44\" >44</th>\n",
+       "      <td id=\"T_ba7ca_row44_col0\" class=\"data row44 col0\" >iafir</td>\n",
+       "      <td id=\"T_ba7ca_row44_col1\" class=\"data row44 col1\" >2722</td>\n",
+       "      <td id=\"T_ba7ca_row44_col2\" class=\"data row44 col2\" >potato167</td>\n",
+       "      <td id=\"T_ba7ca_row44_col3\" class=\"data row44 col3\" >2824</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row45\" class=\"row_heading level0 row45\" >45</th>\n",
+       "      <td id=\"T_ba7ca_row45_col0\" class=\"data row45 col0\" >ccz181078</td>\n",
+       "      <td id=\"T_ba7ca_row45_col1\" class=\"data row45 col1\" >2722</td>\n",
+       "      <td id=\"T_ba7ca_row45_col2\" class=\"data row45 col2\" >tmyklebu</td>\n",
+       "      <td id=\"T_ba7ca_row45_col3\" class=\"data row45 col3\" >2824</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row46\" class=\"row_heading level0 row46\" >46</th>\n",
+       "      <td id=\"T_ba7ca_row46_col0\" class=\"data row46 col0\" >stonefeang</td>\n",
+       "      <td id=\"T_ba7ca_row46_col1\" class=\"data row46 col1\" >2721</td>\n",
+       "      <td id=\"T_ba7ca_row46_col2\" class=\"data row46 col2\" >endagorion</td>\n",
+       "      <td id=\"T_ba7ca_row46_col3\" class=\"data row46 col3\" >2819</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row47\" class=\"row_heading level0 row47\" >47</th>\n",
+       "      <td id=\"T_ba7ca_row47_col0\" class=\"data row47 col0\" >Fdg</td>\n",
+       "      <td id=\"T_ba7ca_row47_col1\" class=\"data row47 col1\" >2718</td>\n",
+       "      <td id=\"T_ba7ca_row47_col2\" class=\"data row47 col2\" >wrong_answer_1</td>\n",
+       "      <td id=\"T_ba7ca_row47_col3\" class=\"data row47 col3\" >2819</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row48\" class=\"row_heading level0 row48\" >48</th>\n",
+       "      <td id=\"T_ba7ca_row48_col0\" class=\"data row48 col0\" >isaf27</td>\n",
+       "      <td id=\"T_ba7ca_row48_col1\" class=\"data row48 col1\" >2718</td>\n",
+       "      <td id=\"T_ba7ca_row48_col2\" class=\"data row48 col2\" >alex_2oo8</td>\n",
+       "      <td id=\"T_ba7ca_row48_col3\" class=\"data row48 col3\" >2814</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_ba7ca_level0_row49\" class=\"row_heading level0 row49\" >49</th>\n",
+       "      <td id=\"T_ba7ca_row49_col0\" class=\"data row49 col0\" >aawisong</td>\n",
+       "      <td id=\"T_ba7ca_row49_col1\" class=\"data row49 col1\" >2712</td>\n",
+       "      <td id=\"T_ba7ca_row49_col2\" class=\"data row49 col2\" >he_____he</td>\n",
+       "      <td id=\"T_ba7ca_row49_col3\" class=\"data row49 col3\" >2813</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n"
+      ],
+      "text/plain": [
+       "<pandas.io.formats.style.Styler at 0x7f609a3c9610>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
+    "import numpy as np\n",
+    "\n",
     "cc_top50 = codechef_rank.iloc[:50]\n",
     "mmr_top50 = mmr_rank[['username', 'ratings']].iloc[:50]\n",
     "\n",
+    "overlap = set(cc_top50.username) & set(mmr_top50.username)\n",
+    "\n",
+    "print('Overlapping top-50 players:')\n",
+    "print(overlap)\n",
+    "print('Size of overlap:', len(overlap), '\\n')\n",
+    "\n",
+    "print('Unique EloMMR players:', set(mmr_top50.username) - overlap)\n",
+    "print('Unique CodeChef players:', set(cc_top50.username) - overlap)\n",
+    "\n",
+    "# We need to rename some columns now so that when we merge them, column names are unique\n",
+    "cc_top50.rename(columns={'username': 'username (cc)', 'ratings': 'ratings (cc)'}, inplace=True)\n",
+    "mmr_top50.rename(columns={'username': 'username (mmr)', 'ratings': 'ratings (mmr)'}, inplace=True)\n",
+    "\n",
+    "def custom_style(df):\n",
+    "    c = df[['username (cc)', 'username (mmr)']].isin(overlap)\n",
+    "    c0, c1 = c.to_numpy()[:,0:1], c.to_numpy()[:,1:2]\n",
+    "    mask = np.concatenate([np.repeat(c0, 2, axis=1), np.repeat(c1, 2, axis=1)], axis=1)\n",
+    "    a = np.where(mask, 'background-color: lightgreen', 'background-color: lightyellow')\n",
+    "    return pd.DataFrame(a, columns=df.columns, index=df.index)\n",
+    "\n",
     "combined = pd.concat([d.reset_index(drop=True) for d in [cc_top50, mmr_top50]], axis=1)\n",
-    "color = (combined.username == 'maroonrk').map({True: 'background-color: green', False: ''})\n",
-    "combined.style.apply(lambda s: color)\n",
-    "display(combined)"
+    "s = combined.reset_index(drop=True).style.apply(custom_style, axis=None)\n",
+    "display(s)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "0099bdae-7290-454f-8a7f-e6ef6f8478b2",
+   "metadata": {},
+   "source": [
+    "# Relationship between CodeChef and EloMMR ratings"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "61201e21-7383-4aa6-8349-c26d756e7034",
+   "id": "ce44ecc9-7c3c-478d-93e0-483ce2431d0b",
    "metadata": {},
    "source": [
-    "We see many common names in the top-10. Let's quantify exactly what the overlap is."
+    "Next, let's look at the relationship between CodeChef and EloMMR ratings for the players. We'll sample 20000 random players from the player base and plot their ratings in the two systems."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 281,
-   "id": "2a0fee08-aa7d-4d60-b55b-a64a26b886ed",
+   "execution_count": 524,
+   "id": "6f030b3f-1d57-49a2-adb1-66380d47e245",
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Overlapping top-50 players:\n",
-      "{'lhic', 'peehs_moorhsum', 'progmatic', 'ACRush', 'msm1993', 'kutengine', 'lyrically', 'spycheese', 'rns5', 'alex_2oo8', 'he_____he', 'heno239', 'mugurelionut', 'oilhun', 'ccz181078', 'ceilks', 'kut_hbi1998', 'ksun48', 'rns4', 'neal', 'maksim1744', 'kal013', 'petr', 'endagorion', 'maroonrk', 'tmwilliamlin', 'white2302', 'sansen', 'tmyklebu', 'bigbag', 'geothermal', 'gennady.korotkevich', 'um_nik', 'noimi'}\n",
-      "Size of overlap: 34 \n",
-      "\n",
-      "Unique EloMMR players: {'skyfire', 'tute7627', 'wrong_answer_1', 'scheffeli', 'wasa855', 'ssrs', 'kotatsugame', 'grumpy_gordon', 'hitonanode', 'rns_cus', 'vercingetorix', 'potato167', 'xaphoenix', 'uwi', 'jeroenodb', 'natsugiri'}\n",
-      "Unique CodeChef players: {'waterfalls', 'hh_algos', 'stonefeang', 'kut_hgs1997', 'fjzzq2002', 'ecnerwala', 'ryodan', 'algmyr', 'Fdg', 'iafir', 'dj3500', 'gainullinildar', 'isaf27', 'gorre_morre', 'aawisong', 'b524'}\n"
-     ]
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x7f609e63b110>]"
+      ]
+     },
+     "execution_count": 524,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 720x432 with 0 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "overlap = set(cc_top50.username) & set(mmr_top50.username)\n",
+    "import matplotlib\n",
+    "from scipy.odr import *\n",
     "\n",
-    "print('Overlapping top-50 players:')\n",
-    "print(overlap)\n",
-    "print('Size of overlap:', len(overlap), '\\n')\n",
+    "num_samples = 20000\n",
+    "samples = codechef_rank.sample(num_samples, axis=0)\n",
+    "cc_random = codechef_rank[codechef_rank['username'].isin(samples.username)]\n",
+    "mmr_random = mmr_rank[mmr_rank['username'].isin(samples.username)][['ratings', 'username']]\n",
     "\n",
-    "print('Unique EloMMR players:', set(mmr_top50.username) - overlap)\n",
-    "print('Unique CodeChef players:', set(cc_top50.username) - overlap)"
+    "union = set(cc_random.username) | set(mmr_random.username)\n",
+    "\n",
+    "# This cell requires running all previous cells in the notebook to gather precomputed values\n",
+    "x_cc, y_mmr, names = [], [], []\n",
+    "for username in union:\n",
+    "    x_cc.append(rate_name_cc[username])\n",
+    "    y_mmr.append(rate_name_mmr[username])\n",
+    "    names.append(username)\n",
+    "    \n",
+    "plt.figure()\n",
+    "fig, ax = plt.subplots() \n",
+    "plt.scatter(x_cc, y_mmr)\n",
+    "plt.title('CodeChef ratings vs. EloMMR Ratings')\n",
+    "plt.xlabel('CodeChef rating')\n",
+    "plt.ylabel('EloMMR rating')\n",
+    "\n",
+    "# These trendlines are made by eyeballing the data.\n",
+    "X = sorted(x_cc)\n",
+    "Yl = 0.55 * (np.array(X) - 3300) + 3300\n",
+    "Yh = 1.45 * (np.array(X) - 3300) + 3300\n",
+    "plt.fill_between(X, Yl, Yh, alpha=0.7)\n",
+    "plt.plot(X, X)"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "ce44ecc9-7c3c-478d-93e0-483ce2431d0b",
+   "id": "abbbc842-3cd4-4349-983c-bb67524c61e2",
    "metadata": {},
    "source": [
-    "Almost 70% of the top-50 list overlaps. Next, let's look at the relationship between CodeChef and EloMMR ratings."
+    "The trend is not perfectly linear, as we saw earlier that the distributions of EloMMR and CodeChef ratings are vastly different in shape. It seems that the difference between the two is larger towards the lower range of CodeChef ratings (below 2200)."
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "757a63b3-1dc0-4970-aaa1-c8999c0fa649",
+   "id": "47db9d6f-f834-471f-9518-2bdd109905e5",
    "metadata": {},
    "outputs": [],
    "source": []

From 461d05583a80ac8748b02287f36567dfaab439b3 Mon Sep 17 00:00:00 2001
From: Aram Ebtekar <aramebtech@gmail.com>
Date: Mon, 2 May 2022 21:30:02 -0700
Subject: [PATCH 3/6] non-empty history hack

---
 multi-skill/src/bin/summary_to_checkpoint.rs | 18 +++++++++++++++---
 1 file changed, 15 insertions(+), 3 deletions(-)

diff --git a/multi-skill/src/bin/summary_to_checkpoint.rs b/multi-skill/src/bin/summary_to_checkpoint.rs
index a43e2ff8..82b9e8ad 100644
--- a/multi-skill/src/bin/summary_to_checkpoint.rs
+++ b/multi-skill/src/bin/summary_to_checkpoint.rs
@@ -1,5 +1,5 @@
 use multi_skill::data_processing::{read_csv, write_json};
-use multi_skill::systems::{Player, PlayersByName};
+use multi_skill::systems::{Player, PlayerEvent, PlayersByName};
 use serde::{Deserialize, Serialize};
 use std::cell::RefCell;
 
@@ -23,14 +23,26 @@ fn make_checkpoint(players: Vec<SimplePlayer>) -> PlayersByName {
                     let sig_perf_sq = (1. + 1. / WEIGHT) * SIG_LIM_SQ;
                     let sig_drift_sq = WEIGHT * SIG_LIM_SQ;
                     let mut sig_sq = 350. * 350.;
-                    for _ in 0..simp.num_contests.unwrap_or(0) {
+                    for _ in 0..simp.num_contests.unwrap_or(1) {
                         sig_sq += sig_drift_sq;
                         sig_sq *= sig_perf_sq / (sig_sq + sig_perf_sq);
                     }
                     sig_sq.sqrt()
                 }
             };
-            let player = Player::with_rating(simp.cur_mu, sig, 0);
+
+            // Hack to create a Player with a non-empty history,
+            // when we don't have access to their actual history.
+            let mut player = Player::with_rating(simp.cur_mu, sig, 0);
+            let fake_event = PlayerEvent {
+                contest_index: 0,
+                rating_mu: 0,
+                rating_sig: 0,
+                perf_score: 0,
+                place: 0,
+            };
+            player.event_history.push(fake_event);
+            player.update_rating(player.approx_posterior, simp.cur_mu);
             (simp.handle, RefCell::new(player))
         })
         .collect()

From 1bbcae83bfbee906beac9b9ca56c2851f0756f32 Mon Sep 17 00:00:00 2001
From: Paul Liu <paul.liu@stanford.edu>
Date: Tue, 3 May 2022 04:40:25 +0000
Subject: [PATCH 4/6] Experimental code to test transition from CC to MMR.

---
 multi-skill/src/bin/mmr_from_cc.rs           | 117 ++++++
 scripts/notebooks/codechef-experiments.ipynb | 362 ++++++++++++++++++-
 2 files changed, 472 insertions(+), 7 deletions(-)
 create mode 100644 multi-skill/src/bin/mmr_from_cc.rs

diff --git a/multi-skill/src/bin/mmr_from_cc.rs b/multi-skill/src/bin/mmr_from_cc.rs
new file mode 100644
index 00000000..9067b9b8
--- /dev/null
+++ b/multi-skill/src/bin/mmr_from_cc.rs
@@ -0,0 +1,117 @@
+use multi_skill::data_processing::{get_dataset_by_name, read_csv, try_write_slice_to_file};
+use multi_skill::summary::make_leaderboard;
+use multi_skill::systems::{get_rating_system_by_name, simulate_contest, Player, PlayerEvent, PlayersByName};
+
+use serde::{Deserialize, Serialize};
+use std::cell::RefCell;
+
+#[derive(Serialize, Deserialize, Clone, Debug)]
+struct SimplePlayer {
+    handle: String,
+    cur_mu: f64,
+    cur_sigma: Option<f64>,
+    num_contests: Option<usize>,
+}
+
+fn make_checkpoint(players: Vec<SimplePlayer>) -> PlayersByName {
+    players
+        .into_iter()
+        .map(|simp| {
+            // In priority order: use cur_sigma, num_contests, or a default
+            let sig = match simp.cur_sigma {
+                Some(sig) => sig,
+                None => {
+                    const SIG_LIM_SQ: f64 = 80. * 80.;
+                    const WEIGHT: f64 = 0.2;
+                    let sig_perf_sq = (1. + 1. / WEIGHT) * SIG_LIM_SQ;
+                    let sig_drift_sq = WEIGHT * SIG_LIM_SQ;
+                    let mut sig_sq = 350. * 350.;
+                    for _ in 0..simp.num_contests.unwrap_or(1) {
+                        sig_sq += sig_drift_sq;
+                        sig_sq *= sig_perf_sq / (sig_sq + sig_perf_sq);
+                    }
+                    sig_sq.sqrt()
+                }
+            };
+
+            // Hack to create a Player with a non-empty history,
+            // when we don't have access to their actual history.
+            let mut player = Player::with_rating(simp.cur_mu, sig, 0);
+            let fake_event = PlayerEvent {
+                contest_index: 0,
+                rating_mu: 0,
+                rating_sig: 0,
+                perf_score: 0,
+                place: 0,
+            };
+            player.event_history.push(fake_event);
+            player.update_rating(player.approx_posterior, simp.cur_mu);
+            (simp.handle, RefCell::new(player))
+        })
+        .collect()
+}
+
+fn main() {
+    tracing_subscriber::fmt::init();
+
+    // Parse arguments, prepare rating system and datasets
+    let args: Vec<String> = std::env::args().collect();
+    if args.len() != 2 {
+        tracing::error!("Usage: {} system_name", args[0]);
+        return;
+    }
+
+    // Set up the rating system
+    let system = &args[1];
+    let system = get_rating_system_by_name(system).unwrap();
+    let dataset = get_dataset_by_name("codechef").unwrap();
+    let mut mu_noob = 1500.;
+    let sig_noob = 350.;
+    let input_file =
+        std::path::PathBuf::from("/home/work_space/elommr-data/cc_init_condition-MARCH15-146.csv");
+    let summary = read_csv(input_file, true).expect("Failed to read summaries");
+    let mut players = make_checkpoint(summary).clone();
+    let contest_cutoff = 146;
+
+    // Get list of contest names to compare with Codechef's rating system
+    let paths = std::fs::read_dir("/home/work_space/elommr-data/ratings").unwrap();
+    let mut checkpoints = std::collections::HashSet::<String>::new();
+    for path in paths {
+        if let Some(contest_name) = path.unwrap().path().file_stem() {
+            if let Some(string_name) = contest_name.to_os_string().into_string().ok() {
+                checkpoints.insert(string_name);
+            }
+        }
+    }
+
+    // Run the contest histories and measure
+    let dir =
+        std::path::PathBuf::from("/home/work_space/elommr-data/elommr-checkpoints/start-from-146/");
+    for (index, contest) in dataset.iter().enumerate() {
+        if index <= contest_cutoff {
+            continue;
+        }
+
+        tracing::debug!(
+            "Processing\n{:6} contestants in{:5}th contest with wt={}: {}",
+            contest.standings.len(),
+            index,
+            contest.weight,
+            contest.name
+        );
+
+        // At some point, codechef changed the default rating!
+        if contest.name == "START25B" {
+            mu_noob = 1000.;
+        }
+
+        // Now run the actual rating update
+        simulate_contest(&mut players, &contest, &*system, mu_noob, sig_noob, index);
+
+        if checkpoints.contains(&contest.name) {
+            let output_file = dir.join(contest.name.clone() + ".csv");
+            let (_summary, rating_data) = make_leaderboard(&players, 0);
+            try_write_slice_to_file(&rating_data, &output_file);
+        }
+    }
+}
diff --git a/scripts/notebooks/codechef-experiments.ipynb b/scripts/notebooks/codechef-experiments.ipynb
index a633a749..a0a5400f 100644
--- a/scripts/notebooks/codechef-experiments.ipynb
+++ b/scripts/notebooks/codechef-experiments.ipynb
@@ -286,7 +286,7 @@
     },
     {
      "data": {
-      "image/png": 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eERFpPHIPBSYTdGv5w1O2TV8e2HbL4FO3BbtldqDe9KtPrrd27VrOOeec+gjzjB09epTU1FSOHz/O2LFjeeKJJxg6dGhEY9q5cyfjxo1j3bp1xMRojKq6PydmttQ5l11fx9C3LCIi4jNTp05l8ODBDB06lC996UsRTwCfeeYZRo4cyX333acEsAFpYoiIiIjPPP/885EO4SRTpkxhypQpkQ7Dd5Rui4iIiPiQkkARERERH1ISKCIiIuJDSgJFREREfEhJoIiIiDQ6qampkQ4h6ikJFBERkdMWrsedOecoLy8Py77lZEoCRUREfCQ3N5e+ffvyzW9+k/79+3PTTTcxb948zjvvPHr16sWiRYtYtGgRY8aMYciQIYwZM4b169cDMH36dK699lquuuoqLr30Ug4cOMDVV1/NwIEDGTVqFCtXrgSosXzatGl8/etfZ9y4cXTv3p2HH364MqZzzjmH22+/naFDh7J9+/bKePft28fo0aN54403Gvibin5aJ1BERCRC/pUzg91H8+p1n+1SOzGh56nPsg2Wk5PDSy+9xBNPPMHw4cN5/vnnmT9/PnPmzOG3v/0tzzzzDB999BFxcXHMmzePn/70p8yaNQuAzz77jJUrV9K6dWu++93vMmTIEGbPns17773HlClTWL58Ob/4xS+qLQdYt24d77//PkeOHKFPnz585zvfAWD9+vU89dRT/PnPf66Mc8+ePUyaNInf/OY3jB8/vl6/J1ESKCIi4jtZWVkMGDAAgHPPPZdLLrkEM2PAgAHk5uZSUFDAzTffzMaNGzEzSkpKKtuOHz+e1q1bAzB//vzK5PDiiy9m//79FBQU1FgOcMUVV5CYmEhiYiJt2rRhz549AHTt2pVRo0ZVHqekpIRLLrmERx99lAsvvDD8X4oPKQkUERGJkLpG7MIlMTGx8n1MTEzl55iYGEpLS/n5z3/ORRddxCuvvEJubi7jxo2rrJ+SklL53jl3yr7NrMbyqseOjY2tvLcweL8AcXFxDBs2jLfeektJYJjonkARERE5SUFBAR07dgQC9wHWZOzYsTz33HMAfPDBB2RkZNC8efMay0+HmfHkk0+ybt067r///jPriNRKI4EiIiJykrvvvpubb76ZP/7xj1x88cU11ps2bRq33norAwcOJDk5maeffrrW8tMVGxvLiy++yFVXXUXz5s25/fbbz2g/Uj2rbsjWL7Kzs92SJUsiHYaIiDQyuYceAqBbyx+esm368sC2Wwafui3YLbMD9aZffXK9tWvXcs4559RHmBLFqvtzYmZLnXPZ9XUMXQ4WERER8SElgSIiIiI+pCRQRERExIeUBIqIiIj4UFiTQDObYGbrzSzHzO6pZruZ2cPe9pVmNrSutmb2a6/ucjN728w6eOXdzOyEV77czB4PZ99EREREmrKwJYFmFgs8CkwE+gE3mFm/KtUmAr2811TgsRDa/sE5N9A5Nxh4Hbg3aH+bnHODvddt4emZiIiISNMXzpHAEUCOc26zc64YeBGYXKXOZOAZF7AAaGlm7Wtr65w7HNQ+BfDvGjciIiKnKTc3l/79+4f1GNu2bSM1NZUHH3ywsuyFF15gwIABDBw4kAkTJrBv376wxiB1C2cS2BHYHvQ5zysLpU6tbc3sPjPbDtzEySOBWWa2zMw+NLMLqgvKzKaa2RIzW5Kfn3+6fRIREZE6fP/732fixImVn0tLS/ne977H+++/z8qVKxk4cCCPPPJIBCMUCG8SaNWUVR21q6lOrW2dcz9zznUGngPu9Ip3AV2cc0OAHwDPm9kpz6hxzj3hnMt2zmVnZmaG0A0REZHotHnzZoYMGcKHH37IiBEjGDx4MAMHDmTjxo2njBg++OCDTJs2DYBx48bx4x//mBEjRtC7d28+/vjjynqzZ8+me/funHvuuZVlzjmccxw7dgznHIcPH6ZDhw4N1k+pXjgfG5cHdA763AnYGWKdhBDaAjwPvAH8wjlXBBQBOOeWmtkmoDegR4KIiEijtPvoDApL8+p1n0lxnWiXel2d9davX8/111/PU089xd///ne+973vcdNNN1FcXExZWRl79uyptX1paSmLFi1i7ty5/PKXv2TevHkcO3aM3//+97zzzjsnXQqOj4/nscceY8CAAaSkpNCrVy8effTRs+6rnJ1wjgQuBnqZWZaZJQDXA3Oq1JkDTPFmCY8CCpxzu2pra2a9gtpPAtZ55ZnehBLMrDuBySabw9c9ERGRpik/P5/Jkyfz7LPPMnjwYEaPHs1vf/tbfv/737N161aaNWtW5z6uueYaAIYNG0Zubi4Av/jFL/j+979PamrqSXVLSkp47LHHWLZsGTt37mTgwIH87ne/q/d+yekJ20igc67UzO4E3gJigSedc6vN7DZv++PAXOByIAc4DtxaW1tv1/ebWR+gHNgKVMwCHgv8ysxKgTLgNufcgXD1T0RE5GyFMmIXDi1atKBz58588sknnHvuudx4442MHDmSN954g8suu4y//e1v9O7dm/Ly8so2hYWFJ+0jMTERgNjYWEpLSwFYuHAhL7/8MnfffTeHDh0iJiaGpKQkRo4cCUCPHj0A+MpXvsL999/fEF2VWoTzcjDOubkEEr3gsseD3jvgjlDbeuVfqqH+LGDW2cQrIiLiBwkJCcyePZvLLruM1NRURo0aRffu3bnrrrvYvHkzK1eu5IILLmDv3r3s37+f1NRUXn/9dSZMmFDrfoPvDZw2bRqpqanceeed7Ny5kzVr1pCfn09mZibvvPMO55xzTri7KXUIaxIoIiIijVNKSgqvv/4648eP58orr2TmzJnEx8fTrl077r33XuLj47n33nsZOXIkWVlZ9O3b94yP1aFDB37xi18wduxY4uPj6dq1K9OnT6+/zsgZscBgnD9lZ2e7JUs0b0RERE6We+ghALq1/OEp26YvD2y7ZfCp24LdMjtQb/rVJ9dbu3atRsGkTtX9OTGzpc657Po6hp4dLCIiIuJDSgJFREREfEhJoIiIiIgPKQkUERFpYH6+H1/q1lB/PpQEioiINKCkpCT279+vRFCq5Zxj//79JCUlhf1YWiJGRESkAXXq1Im8vDzy8/MjHYo0UklJSXTq1Cnsx1ESKCIi0oDi4+PJysqKdBgiuhwsIiIi4kdKAkVERER8SEmgiIiIiA8pCRQRERHxISWBIiIiIj6kJFBERETEh5QEioiIiPiQkkARERERH1ISKCIiIuJDSgJFREREfEhJoIiIiIgPKQkUERER8SElgSIiIiI+pCRQRERExIeUBIqIiIj4kJJAERERER9SEigiIiLiQ0oCRURERHxISaCIiIiIDykJFBEREfEhJYEiIiIiPqQkUERERMSHlASKiIiI+FBYk0Azm2Bm680sx8zuqWa7mdnD3vaVZja0rrZm9muv7nIze9vMOgRt+4lXf72ZXRbOvomIiIg0ZWFLAs0sFngUmAj0A24ws35Vqk0EenmvqcBjIbT9g3NuoHNuMPA6cK/Xph9wPXAuMAH4s7cfEREREakinCOBI4Ac59xm51wx8CIwuUqdycAzLmAB0NLM2tfW1jl3OKh9CuCC9vWic67IObcFyPH2IyIiIiJVhDMJ7AhsD/qc55WFUqfWtmZ2n5ltB27CGwkM8XiY2VQzW2JmS/Lz80+rQyIiIiLRIpxJoFVT5kKsU2tb59zPnHOdgeeAO0/jeDjnnnDOZTvnsjMzM6sNXERERCTahTMJzAM6B33uBOwMsU4obQGeB750GscTEREREcKbBC4GeplZlpklEJi0MadKnTnAFG+W8CigwDm3q7a2ZtYrqP0kYF3Qvq43s0QzyyIw2WRRuDonIiIi0pTFhWvHzrlSM7sTeAuIBZ50zq02s9u87Y8Dc4HLCUziOA7cWltbb9f3m1kfoBzYClTsb7WZzQTWAKXAHc65snD1T0RERKQpC1sSCOCcm0sg0QsuezzovQPuCLWtV/6laqpXbLsPuO9M4xURERHxCz0xRERERMSHlASKiIiI+JCSQBEREREfUhIoIiIi4kNKAkVERER8SEmgiIiIiA8pCRQRERHxISWBIiIiIj6kJFBERETEh5QEioiIiPiQkkARERERH1ISKCIiIuJDSgJFREREfEhJoIiIiIgPKQkUERER8SElgSIiIiI+pCRQRERExIeUBIqIiIj4kJJAERERER9SEigiIiLiQ0oCRURERHxISaCIiIiIDykJFBEREfEhJYEiIiIiPqQkUERERMSHlASKiIiI+JCSQBEREREfUhIoIiIi4kNKAkVERER8SEmgiIiIiA8pCRQRERHxISWBIiIiIj4U1iTQzCaY2XozyzGze6rZbmb2sLd9pZkNrautmf3BzNZ59V8xs5ZeeTczO2Fmy73X4+Hsm4iIiEhTFrYk0MxigUeBiUA/4AYz61el2kSgl/eaCjwWQtt3gP7OuYHABuAnQfvb5Jwb7L1uC0/PRERERJq+cI4EjgBynHObnXPFwIvA5Cp1JgPPuIAFQEsza19bW+fc2865Uq/9AqBTGPsgIiIiEpXCmQR2BLYHfc7zykKpE0pbgK8DbwZ9zjKzZWb2oZldUF1QZjbVzJaY2ZL8/PzQeiIiIiISZcKZBFo1ZS7EOnW2NbOfAaXAc17RLqCLc24I8APgeTNrfspOnHvCOZftnMvOzMysowsiIiIi0SkujPvOAzoHfe4E7AyxTkJtbc3sZuBK4BLnnANwzhUBRd77pWa2CegNLKmPzoiIiIhEk3COBC4GeplZlpklANcDc6rUmQNM8WYJjwIKnHO7amtrZhOAHwOTnHPHK3ZkZpnehBLMrDuBySabw9g/ERERkSYrbCOBzrlSM7sTeAuIBZ50zq02s9u87Y8Dc4HLgRzgOHBrbW29XT8CJALvmBnAAm8m8FjgV2ZWCpQBtznnDoSrfyIiIiJNWTgvB+Ocm0sg0QsuezzovQPuCLWtV96zhvqzgFlnE6+IiIiIX+iJISIiIiI+pCRQRERExIeUBIqIiIj4kJJAERERER9SEigiIiLiQ0oCRURERHxISaCIiIiIDykJFBEREfEhJYEiIiIiPqQkUERERMSHlASKiIiI+JCSQBEREREfUhIoIiIi4kNKAkVERER8SEmgiIiIiA8pCRQRERHxISWBIiIiIj6kJFBERETEh0JKAs1slpldYWZKGkVERESiQKhJ3WPAjcBGM7vfzPqGMSYRERERCbOQkkDn3Dzn3E3AUCAXeMfMPjWzW80sPpwBioiIiEj9C/nyrpmlA7cA3wSWAf9LICl8JyyRiYiIiEjYxIVSycz+CfQF/gFc5Zzb5W2aYWZLwhWciIiIiIRHSEkg8Dfn3NzgAjNLdM4VOeeywxCXiIiIiIRRqJeDf1NN2Wf1GYiIiIiINJxaRwLNrB3QEWhmZkMA8zY1B5LDHJuIiIiIhEldl4MvIzAZpBPwx6DyI8BPwxSTiIiIiIRZrUmgc+5p4Gkz+5JzblYDxSQiIiIiYVbX5eCvOueeBbqZ2Q+qbnfO/bGaZiIiIiLSyNV1OTjF+5ka7kBEREREpOHUdTn4L97PXzZMOCIiIiLSEEJaIsbMHjCz5mYWb2bvmtk+M/tqCO0mmNl6M8sxs3uq2W5m9rC3faWZDa2rrZn9wczWefVfMbOWQdt+4tVfb2aXhdI3ERERET8KdZ3AS51zh4ErgTygN/Cj2hqYWSzwKDAR6AfcYGb9qlSbCPTyXlOBx0Jo+w7Q3zk3ENgA/MRr0w+4HjgXmAD82duPiIiIiFQRahIY7/28HHjBOXcghDYjgBzn3GbnXDHwIjC5Sp3JwDMuYAHQ0sza19bWOfe2c67Ua7+AwPI1Fft60XuKyRYgx9uPiIiIiFQRahL4mpmtA7KBd80sEyiso01HYHvQ5zyvLJQ6obQF+Drw5mkcT0REREQIMQl0zt0DjAaynXMlwDFOHdWryqopcyHWqbOtmf0MKAWeO43jYWZTzWyJmS3Jz8+vpomIiIhI9KtriZhg5xBYLzC4zTO11M8DOgd97gTsDLFOQm1tzexmAvcnXuKcq0j0QjkezrkngCcAsrOzT0kSRURERPwg1NnB/wAeBM4Hhnuv7DqaLQZ6mVmWmSUQmLQxp0qdOcAUb5bwKKDAObertrZmNgH4MTDJOXe8yr6uN7NEM8siMNlkUSj9ExEREfGbUEcCs4F+QaNudXLOlZrZncBbQCzwpHNutZnd5m1/HJhLYLJJDnAcuLW2tt6uHwESgXfMDGCBc+42b98zgTUELhPf4ZwrCzVeERERET8JNQlcBbQDdp3Ozp1zcwkkesFljwe9d8Adobb1ynvWcrz7gPtOJ0YRERERPwo1CcwA1pjZIqCootA5NyksUYmIiIhIWIWaBE4LZxAiIiIi0rBCSgKdcx+aWVegl3NunpklE7hXT0RERESaoFBnB38LeBn4i1fUEZgdpphEREREJMxCfWLIHcB5wGEA59xGoE24ghIRERGR8Ao1CSzynuELgLdgtBZaFhEREWmiQk0CPzSznwLNzGw88BLwWvjCEhEREZFwCjUJvAfIBz4Hvk1g/b7/CVdQIiIiIhJeoc4OLjez2cBs51x+eEMSERERkXCrdSTQe6bvNDPbB6wD1ptZvpnd2zDhiYiIiEg41HU5+L8IzAoe7pxLd861BkYC55nZ98MdnIiIiIiER11J4BTgBufclooC59xm4KveNhERERFpgupKAuOdc/uqFnr3BcaHJyQRERERCbe6ksDiM9wmIiIiIo1YXbODB5nZ4WrKDUgKQzwiIiIi0gBqTQKdc7ENFYiIiIiINJxQF4sWERERkSiiJFBERETEh5QEioiIiPiQkkARERERH1ISKCIiIuJDSgJFREREfEhJoIiIiIgPKQkUERER8SElgSIiIiI+pCRQRERExIeUBIqIiIj4kJJAERERER9SEigSBs8v3BbpEERERGqlJFBERETEh5QEioiIiPiQkkARERERHwprEmhmE8xsvZnlmNk91Ww3M3vY277SzIbW1dbMrjWz1WZWbmbZQeXdzOyEmS33Xo+Hs28iFZ5fuE33AIqISJMTF64dm1ks8CgwHsgDFpvZHOfcmqBqE4Fe3msk8Bgwso62q4BrgL9Uc9hNzrnBYeqSiIiISNQI50jgCCDHObfZOVcMvAhMrlJnMvCMC1gAtDSz9rW1dc6tdc6tD2PcIiIiIlEvnElgR2B70Oc8ryyUOqG0rU6WmS0zsw/N7ILqKpjZVDNbYmZL8vPzQ9iliIiISPQJZxJo1ZS5EOuE0raqXUAX59wQ4AfA82bW/JSdOPeEcy7bOZedmZlZxy4lWukePhER8btwJoF5QOegz52AnSHWCaXtSZxzRc65/d77pcAmoPcZRS4SZkpCRUQk0sKZBC4GeplZlpklANcDc6rUmQNM8WYJjwIKnHO7Qmx7EjPL9CaUYGbdCUw22Vy/XRKp3WMfbOLaxz9jw54jOFfX4LWIiEjkhG12sHOu1MzuBN4CYoEnnXOrzew2b/vjwFzgciAHOA7cWltbADP7IvB/QCbwhpktd85dBowFfmVmpUAZcJtz7kC4+idSVXFpOc8v3Mr2gydYnHuApVsP8vebs2nTPCnSoYmIiJwibEkggHNuLoFEL7js8aD3Drgj1LZe+SvAK9WUzwJmnWXIImfs/jfXsf3gCb6S3YnSMscbn+/i3ldX8/jXhkU6NBERkVOENQkU8Yut+4/x5CdbGN0jncGdWwHQo00qf3hrPf/zyuf069CCG0d2iXCUIiIi/6HHxonUg8W5B0hLjOOyfu0qy6aO7U7fdmnMWbGTwpKyCEYnIiJyKiWBImepqLSMVTsO07d9Gglx//krFR8bw/1fGsiRwlLeX783ghGKiIicSkmgyFlateMwxWXlDO3S6pRtgzu3ZGjXVnyas5/N+UcjEJ2IiEj1lASKnKV/bztIekoCXVonV7v90n5tiYs17ntjbQNHJiIiUjNNDBE5C9sPHGfLvmOM79cWs5MfdFOxIHRaUjwX923Dm6t2M23Oanq3TYtEqCIiIifRSKDIWZizIvAgm8GdW9Zab3SPdLIyUnh95S5Ky8sbIDIREZHaKQkUOQuvr9xF51bNaJWcUGu9uJgYfn7lOew7WsSCzVrDXEREIk9JoMgZ2pR/lLW7DjOwU8uQ6l/Upw2926by7to9HC0qDW9wIiIidVASKHKG3li5C4D+HVuEVN/MuHxAe0rKynl79e5whiYiIlInJYEiZ+iNlbsY3q0VLZrFh9ymTVoSo7uns3TrQVbtKKi1bsXEEhERkXBQEii+dybJ1oY9R1i/5whXDuxw2m0v7tuW5IRYps1ZTeDx2bXHpmRQRETCQUmgSA1qS76eW7CVhNgYrhjY/rT32ywhlkv7tWPJ1oO8uUqXhUVEJDKUBIqEIDghPFJYwstL87hyYHsyUhPPaB/DurWiV5tUHnxrPaVlWjJGREQanpJAkdP08tI8jhWXcfOYbmd8qTbGjB9d1ofN+47x8tK8eo5QRESkbkoCRQj93rvycsfTn+YytEtLBtWxQHRdxvdry5AuLfnTvI0cL9aSMSIi0rCUBIqchtc/30Xu/uPcPKbbWe/LzPjJxHPYc6SQb0xfokRQREQalJ4dLBKiQ8eL+dVrqxnQsQWHT5Se9azdivbXDuvEy0vzuOlvC7moTxsS42JomRxPzt6jdM9MIabKM4lFRETqg5JAkRB9Y/oSDhwr5umvj2DF9trX+Dsdgzu34oJemdwzayXLth06advwbq2YPLhjvR1LRESkgpJAkRCs3lnA0m0HubB3Jud2aFGvSSDAVYM6cNWgDpSVO575LJfjxWUs2nKADzfkA3DjiC7ExGhEUERE6o/uCRSpw7JtB5m5ZDudWjXj4r5twnqs2BgjMS6WVskJXNqvLeN6Z7I49yAzlmwP63FFRMR/lASKr+XuO8bTn+Yyc8l23lu3hwPHik/avmpHAd98eglpSfFMGd2N+NiG+ytjZozv15Zu6cn84a31FJwoabBji4hI9FMSKL5VXu64++WVbN53lNz9x3h37V4ueegDnl2wlYWb9zN/Yz7X/PlT4mNjuGV0N1ITA3dPNORj3MyMKwd24NDxYv40b0ODHVdERKKf7gkU33px8XYW5R7gmiEdye7Wmt2HC/k0Zx//M3tVZZ1L+rbhwWsHNdjj3apLMDu0bMYNI7rwzGdbuWFEF3q3TTup/o0juzRIbCIiEl2UBIovHSks4ZH3cxjdPZ1hXVsB0K55EjO/PZrPdxRwrKiUD9bn85PL+2KNYImWH17ah9dW7OSXr63m2W+MbBQxiYhI06bLweJLq3YUcKSwlGmTzj0poYqJMQZ1bsmYnhl0y0hpNMlW65QELuydySc5+3lr9Z5IhyMiIlFASaD40qb8Y3Rq1Yw+7dLqrtxIjMhKp23zRH7zxhoKS8oiHY6IiDRxSgLFd8rKHZv3HeW8HhmRDuW0xMYYVw3sQN7BE/z3SysoL3eRDklERJow3RMovrNqRwGFJeWM6Zke6VAq1TXjuGJ798xU7pnYl/vfXEe39BQ6tGzWEOGJiEgU0kig+M78nH0AjGliI4EVvj22O9cP78wj7+fw/vq9OHfqiGBDLmMjIiJNk0YCxXc+3bSPts0TeWdN05xgYWb8+ur+FJWW88qyHfxs9ip+Nelc4hpwIWsREWn69FtDfKWwpIwluQfpkZka6VDO2PMLtxEfG8MfvzKIC3tnBtYK/OtC9hwujHRoIiLShIQ1CTSzCWa23sxyzOyearabmT3sbV9pZkPramtm15rZajMrN7PsKvv7iVd/vZldFs6+SdO0bNshikrLm3QSCIFE8IVF27ns3Hb86brBfL6jgCse/ph/fJarmcMiIhKSsCWBZhYLPApMBPoBN5hZvyrVJgK9vNdU4LEQ2q4CrgE+qnK8fsD1wLnABODP3n5EKq3eWQBA59bJ1W5vivfSXT2kI3PuPI+u6Sn8/NXVnP/795n17zxmL9tBwfH/PG+4KfZNRETCJ5z3BI4AcpxzmwHM7EVgMrAmqM5k4BkXuLN9gZm1NLP2QLea2jrn1nplVY83GXjROVcEbDGzHC+Gz8LUP2mC1u8+QkZqQuVzgKNBRXL38m2j+Wzzfp75dCsfbsjnv2YsJz7WOL9nBt8Z1zPCUYqISGMTzt+EHYHtQZ/zgJEh1OkYYtvqjregmn2dxMymEhh1pEsXPXPVT55fuI0Ne46c1gLRTWn0zMwY0yODMT0yeHbBVnYcPMGqnQWs3nmYr/zlM/q2S+P8nhl0Sa9+FFRERPwlnPcEVve8raprWdRUJ5S2Z3I8nHNPOOeynXPZmZmZdexSokm5c2zYc5TebZvOU0LOVIwZnVsnM7F/e24f15PL+rVly75jTPjfj3jms1wtNC0iImEdCcwDOgd97gTsDLFOQghtz+R44mMHjxVzoqSMvu3SKCuvuV5TGv2rqrrYE+JiuLBPGwZ1bsmCLQe499XVfLA+n4euHUSrlITA7OKRGhUXEfGbcI4ELgZ6mVmWmSUQmLQxp0qdOcAUb5bwKKDAObcrxLZVzQGuN7NEM8siMNlkUX12SJq2iiVU+rRrHuFIwqOu5LVlcgKX9WvLVQPb8+GGfK54+GNW5h1qmOBERKTRCVsS6JwrBe4E3gLWAjOdc6vN7DYzu82rNhfYDOQAfwVur60tgJl90czygNHAG2b2ltdmNTCTwMSTfwF3OOe0VoZU2u0lgb3aNO3lYc6GmTG6Rwa3je2BmfGVv3zGqh0FkQ5LREQiIKxTJJ1zcwkkesFljwe9d8Adobb1yl8BXqmhzX3AfWcRskSx3YeL6NI6mZQomhl8pjq2asard57Ht/+xlOcXbeOc9ml8bXS3SIclIiINSE8MEd/Yc7jwtGYGR7uM1ESe++ZIzmnfnJ+/upqnPtkCBC4rN+X7IkVEJDQaEhFfKCotY//RIvr4YGbw6UiKj+WGEZ35NGc/v3xtDWt2HmZIl1aRDktERBqARgLFF3L2HqXcoZHAIBUjfnExMfzfjUMY3T2dV5btYMehE5EOTUREGoCSQPGFjXuOAkoCaxIfG0gEUxLjeG7hVo4Xl0Y6JBERCTMlgeILm/KPEmPQVU/LqNbzC7fx9uo93DiiC4dPlPDW6t2RDklERMJMSaD4Qs7eo7RKTiAxLjbSoTRqnVsnM6ZHBktyD7Js28FIhyMiImGkJFB8YVP+UdqkJUY6jCbhkr5tSEuK4+evrqJMj5cTEYlaSgIl6pWWlbNl3zEylQSGJDE+lssHtGfVjsPMWpoX6XBERCRMlARK1Nt+8AQlZY7MtKRIh9JkDOjYgo4tm/G/726kuLSWBy2LiEiTpSRQot6mvYGZwRoJDJ2Z8YVz2rLj0AlmLtke6XBERCQMlARK1MvJ95LAVCWBp6N321SGdmnJo+/n8PSnuZEOR0RE6pmSQIl6m/YeJTMtkWYJmhl8OsyMwZ1bsaugkMW5ByIdjoiI1DMlgRL1cvKP0iMzJdJhNEk9MlPIykjhw/X5nCgui3Q4IiJSj5QESlRzzrFp71F6tkkF/vOoNAlNxb2BR4pKeXbB1kiHIyIi9UhJoES1/KNFHC4spUdmaqRDabKyMlLomZnKYx9u4liRHicnIhItlARKVNu09xhA5UignJkv9GvLgWPFPP1ZbqRDERGReqIkUKLahj1HAOjVJi3CkTRtXVonc1GfTJ74aDNHCksiHY6IiNQDJYES1dbtPkyr5HjaNtfyMGfrB+P7cOh4CU/Oz410KCIiUg+UBEpUW7vrCH3bNcfMIh1KkzegUwsu7deWv328mYLjGg0UEWnqlARK1Covd6zffYS+7XUpuL58f3xvjhaX8ucPciIdioiInCUlgRK1th04zomSMgqOl2hZmHrw/MJtLNt2iC8N7cRTn+Sy/cDxSIckIiJnQUmgRK11uw8D0K5FUoQjiS49MlOJiYEH3lof6VBEROQsKAmUqLV21xFiDNqkKQmsTy2axTO6ewavrdjJsm0HIx2OiIicISWBErXW7T5Mt4wUEuL0x7y+je2VQWpiHP/14nKcc5EOR0REzoB+O0rUWpx7kOSEuEiHEZUS42P5wjlt2XrgOG+t3h3pcERE5AwoCZSodKyolAPHimnXXJeCw2VY11a0SUvk/jfXUVxaHulwRETkNCkJlKi03ntSSHtNCgmb2BhjYv/25O4/ztOf5kY6HBEROU1KAiUqLd92CIAOLZtFNpAo16ddGhf3bcP/vruRvYcLIx2OiIicBiWBEpUWbTlAq+R4WjSLj3QoUe/eK/tRXFrO/W+ui3QoIiJyGpQEStRxzrE49wDd0lMiHYovfLppP6N7pPPPZTtYsHl/pMMREZEQKQmUqLMp/xj7jxWTlaEksKFc1KcNXVon851nl/LU/C2RDkdEREKgJFCizuLcAwAaCWxACXExPPSVQRw6XsLcVVoyRkSkKQhrEmhmE8xsvZnlmNk91Ww3M3vY277SzIbW1dbMWpvZO2a20fvZyivvZmYnzGy593o8nH2TxmvRlgNkpCaSnpoQ6VB8ZeOeo5zfK4PFuQd4W2sHiog0emFLAs0sFngUmAj0A24ws35Vqk0EenmvqcBjIbS9B3jXOdcLeNf7XGGTc26w97otPD2Txm7RlgOMzGqNmUU6FN/5wjlt6diyGT+YuYJN+UcjHY6IiNQinCOBI4Ac59xm51wx8CIwuUqdycAzLmAB0NLM2tfRdjLwtPf+aeDqMPZBmpgdh06w49AJhndrFelQfCk+NoabRnYhMS6Gqc8s4UhhSaRDEhGRGoQzCewIbA/6nOeVhVKntrZtnXO7ALyfbYLqZZnZMjP70MwuqC4oM5tqZkvMbEl+fv7p9kkaoecXbuP5hdsAmL8xcE5Hdk+PZEi+1jI5gS8O6ciWfce44/lllJTpaSIiIo1ROJPA6q7FVX3SfE11Qmlb1S6gi3NuCPAD4Hkza37KTpx7wjmX7ZzLzszMrGOX0tS8uWo3XVon07ddWqRD8bXumalcPbgjH23I595XV+FcXX99RUSkocWFcd95QOegz52AnSHWSail7R4za++c2+VdOt4L4JwrAoq890vNbBPQG1hSP92Rxq7geAmf5Ozj6+dl6X7ARiC7W2sOHCvmhUXb6dI6hRbN4rlxZJdIhyUiIp5wjgQuBnqZWZaZJQDXA3Oq1JkDTPFmCY8CCrxLvLW1nQPc7L2/GXgVwMwyvQklmFl3ApNNNoeve9LYzFu7h5Iyx8QB7SsvD0tkfaFfW64a1IHf/2sdK/MORTocEREJErYk0DlXCtwJvAWsBWY651ab2W1mVjFzdy6BRC0H+Ctwe21tvTb3A+PNbCMw3vsMMBZYaWYrgJeB25xzB8LVP2l83ly1iw4tkhjUqUWkQxFPjBnZXVvRNT2Zl5fmsWzbwUiHJCIinnBeDsY5N5dAohdc9njQewfcEWpbr3w/cEk15bOAWWcZsjRRhSVlvL8+n1vGdNOl4EYmPjaGr43syqMf5PCdZ//Na989n8y0xEiHJSLie3piiESFNbsOU1buiIsxXQpuhJIT4/jqqK7sP1bEV/7yGaWaMSwiEnFKAiUqLN16kPSUBLq0To50KFKD9i2acfXgwNIx97+5LtLhiIj4npJAafL2Hy1iy75jDOvaSpeCG7khXVoxuns6f5u/hddWVF0sQEREGlJY7wkUaQj/3nYQI5BgSOM3cUA7SsrKufvllfRum0YfrekoIhIRGgmUJqGm+/zKyh3/3naIXm1TadEsvoGjkjMRFxPDF/q1JS7GuPGvCyg4oUfLiYhEgpJAadI+2phPwYkShnVtHelQ5DQ0TwosHH3weDE/nLmc8nI9UUREpKEpCZQm7e8fbyEtKY5zdEmxyemansIVA9ozb+1efv+WJoqIiDQ0JYHSZK3ZeZj5OfsY0z2duFj9UW6KRnVPZ2RWa/7y4WaenL8l0uGIiPiKfnNKk/W3+ZtJTohlRFZ6pEORM2RmXDWoA/3aN+fXr6/hRy+tiHRIIiK+oSRQmqRdBSd4bcVOvpLdmWYJsZEOR85CjBnXDe9MVkYKLy/N09IxIiINREmgNDmlZeXc+NeFOAffOD8r0uFIPYiPjWHK6G50TU/mv2Ys55//zot0SCIiUU9JoDQ6zy/cVuuj3/7w9nq27DvG1UM60llPCIkaCXEx3Dy6GyO6teYHM1fw5w9yCDxeXEREwkGLRUujUJH03TiyS7Xbi0rLmL1sB6+t2Mm76/Yyoltrhmpx6KiTGB/L9K8P50cvreSBf61n56ET/HJSf2Jj9CQYEZH6piRQGq3CkjI+WL+X11bs4u01uykpc7RvkcR3xvWgXfOkSIcnYTJr6Q5GZLXm0PFinl2wjT2Hi3j4+iG691NEpJ4pCZRGZcOeI/xr1S52HDrBb+eu5WhRKekpCQzr2oqBHVvSJT2Zr47qWuvlYmn6YsyY0L89l5zTlmmvrebihz7gpdtG06mVLv+LiNQXJYHSKBScKGH2sh389JXPiTWjXYskJg/uwIT+7RjdPZ2ZSzRRwI/iY2OYMqobM5ZsY9Ijn/DojUMZ3UNLAomI1AclgRJxT3+ay7MLtpJ/pIjvf6E3yQmxpCTG1Xh/oPhLn3Zp3H5hT/6xYCs3/W0Bv7jqXKaM7oqZ7hMUETkbmh0sEeWc45VlO9h56ATXDe/M977Qi5RE/d9ETpaRlsh3xvWgd9s0fjFnNT+etZKi0rJIhyUi0qQpCZSIemHRdpZvP8QX+rXlnPbNT9qm+/4kWFJ8LF8d1ZW7Lu7JzCV5fOGhD9lVcCLSYYmINFlKAqVBVLf2357Dhfxu7lq6Z6QwrndmZb1Q9lXde4l+MWa0a9GMG0d0Yc/hIib86WPe/HxXpMMSEWmSlARKxPzytdUUlZVz9ZCOur9LTkv/ji248+KepCXF8Z3n/s13nl1K3sHjkQ5LRKRJ0c1XEhGzluYx9/Pd/OiyPrRKTqixnkb6pCYZqYl8e2wPCk4U88j7Ocxbu4ebRnblG+dn6UkyIiIh0EigNLj31u3h7lkrGd09nW9d0D3S4UgTFhtjtE5J5K6LezGgYwueXbCVC//wPl/7+0JeWrKdghMlkQ5RRKTR0kighMXzC7edssRLSVk5T32yhfvfXEe/9s0Z368tLy/V+n9y9lomJ/DlYZ0Z368dC7fsZ3P+MX708kp+9soqerRJZWCnFvziqn4kJ+ifPBGRCvoXUcJu75FCPly/lwVbDlBwooTR3dN55MYhvLV6T6RDkyjTolk8l/Zrh3OOvIMnWJl3iM93FLB212HmLN/J1UM6cPOYbvRt17zunYmIRDklgQL85967+lygecu+Yzz6fg6zl+2gtNyRlZHCl4Z2okdmCumpifV2HJGqzIzOrZPp3DqZiQPas3X/cZZtO8hLS/J4YdF2xvRI55Yx3bjknLbExmhSkoj4k5JAHzubxK+2thv3HGHG4m38z+zPSYiL4Wuju9KqWQIZaUr8pOHFmJGVkUJWRgoTzm3H4q0HWbB5P1P/sZROrZoxZXRXJvZvr8kkIuI7SgKlXhSWlDF/4z6eXbiVDzfkEx8Tw7fGdueb53cnMy1Rs3ylUUhOjOPC3pmc3zODNbsO89mmffx27jp+O3cdnVs3Y0z3DMb0TGdkVjrtWiRFOlwRkbBSEigUlZZxvLgUI7TLYuXljh0HT7Bl/zE+31HAut2HWbWjgJIyR5u0wEzN1MQ4UhLjeGfNHj0DWBqd2BhjQMcWDOjYgr1HCtm09yib8o/x6oodzFiyHYBWyfGM69OG7G6tyO7aml5tUonRpWMRiSJKAn3IOce63Ud4b90e1u46wk9f+bxy2/+9t5HzemZwXs8MRvdIp32LJGJjjNx9x1iRV8DHG/OZt2YPx4oDz21tlRxPrzZpfP38LE4Ul/HzK/sRHxtT51M9NDIojUWbtCTapCUxukcG5c6x89AJtu4/Tu7+Y7yzZg+vLNsBQPOkOLK7tWZY11ac26E5fds1p23zRC10LiJNlpLAJq6otIyH3trA3iNFdE1PpnVKAm2bJ7Ju9xHuvKgncbGBpSALjpewcsch3l27l3fW7GHHoRMY0KlVM+66uCeb8o9RVu7YcegES7ce5I2gR3HFGJS7wPuM1AR6tU2jV5tUerRJ5bYLe5yU0L20REu+SNMVY0anVsl0apXMeT0zcM5x4FhxZVL4eV4B763bW1m/RbN4+rRNo2fbVHpmptKzTeDVvkWSkkMRafTCmgSa2QTgf4FY4G/OufurbDdv++XAceAW59y/a2trZq2BGUA3IBf4inPuoLftJ8A3gDLgLufcW+HsX6QcKyrlg/X5vLV6N++v28uRotJq6z387kZSEuOIjTEOHQ8smpsUH8P5PTO565KeHDpeQlpSPDeO7HJSInfDiM5syj/Kn9/fxNGiUkrKyslITaR9i2a0aZ5ITNAvN43oSTQzM9JTE0lPTWRo11YAHC8uZffhQvYUFLLncBG7Dxfy+Y4CTpSUVbZLToilR2Yq3TJS6No6mS7pyXRpnUxmWiKtkxNo0Sxel5ZFJOLClgSaWSzwKDAeyAMWm9kc59yaoGoTgV7eayTwGDCyjrb3AO865+43s3u8zz82s37A9cC5QAdgnpn1ds6V0Yg453jio80cKyqjqLSMxLhYrhvRmbSkOFIT4k76xXCiuIytB46Ru+84s5ftoEWzeNbtPsza3UcoLi0nPSWBPu3S6NuuOe1bJNG8WTwnSsooOF7CniOFtG+RxJHCUkrLy9l/tJg2aUncM7EvzRJigZoTuBcWBe6Jyu7WOvxfiEgTk5wQR/eMVLpnpFaWOec4WlRK/pEi8o8WsfdIEflHivgkZx9zT5RQVjGU7jGgVUoCLZPjaZ2cQNsWSbRvnkS7Fkm0b9GMdi2S6NAyiczUxMrRfBGR+hbOkcARQI5zbjOAmb0ITAaCk8DJwDPOOQcsMLOWZtaewChfTW0nA+O89k8DHwA/9spfdM4VAVvMLMeL4bMw9vEUzjlKyx3FpeUcKy5l16FCcvcfY83Ow6zaWcC/tx46acQA4OH3Nla+T02MIyk+hqNFpRSWlJ9ULyUhlnYtkrhlTDecg67pySeNylW0T02Mo2OrZgC0b3FyfBX3NwXTaJ7I2TEz0pLiSUuKp3tm6knbysodh44Xc+B4MceKApOwKn8Wl7H/WDFb9h3jcGEJJWUnJ4sxBplpiaQkxJEQFxN4xcac9D4+LobE2Bjig8or38faSfUq28aeXC82xoixQD9izYgxwyxweTwmxvtZ8Tlou3ltYgwMrwzAq2vedxP46b336lRth1enpnYiUv/CmQR2BLYHfc4jMNpXV52OdbRt65zbBeCc22VmbYL2taCafTWIfyzYym9eX0NxWTnOnbo9ITaGPu3S6N+xOW2bJ5GWFE9iXAxFpeUM7tyCD9fnU1haTmFJGV3TU0hNjGXr/uO0TkkgPSWR1ikJlSN4ItJ0xMb855JybZxzgZH8EyUcPlFCwYnSwPvCEkrKyiktcxSWlHG0qJSyssB/NsvKK36WB73/z89oUl3yGOKCBqFWqzwOwK+u2Q/AhH++eUqdi4ftxzB+P+tfte+r9QEw6Hdv7fW+fl4W/31Zn9OIUqR+hDMJrO7vXdV/lWqqE0rbMzkeZjYVmOp9LDKzVXXst95srLtKQ8kA9kU6iAhQv/1F/faXeu33db+pePe7U7atr6+DeH7kvc6Qzre/1Ov/FsKZBOYBnYM+dwJ2hlgnoZa2e8ysvTcK2B6omKoXyvFwzj0BPAFgZkucc9mn06looH77i/rtL+q3v6jf/mJmS+pzf+G843gx0MvMsswsgcCkjTlV6swBpljAKKDAu9RbW9s5wM3e+5uBV4PKrzezRDPLIjDZZFG4OiciIiLSlIVtJNA5V2pmdwJvEVjm5Unn3Gozu83b/jgwl8DyMDkEloi5tba23q7vB2aa2TeAbcC1XpvVZjaTwOSRUuCOxjYzWERERKSxCOs6gc65uQQSveCyx4PeO+COUNt65fuBS2pocx9w32mE+MRp1I0m6re/qN/+on77i/rtL/Xab3PVTWUVERERkaimVUhFREREfMi3SaCZTTCz9WaW4z15JKqYWa6ZfW5myytmE5lZazN7x8w2ej9bBdX/ifddrDezyyIX+ekxsyfNbG/wUj9n0k8zG+Z9Xzlm9rA18tVpa+j3NDPb4Z3z5WZ2edC2Jt9vM+tsZu+b2VozW21m3/PKo/p819LvaD/fSWa2yMxWeP3+pVce7ee7pn5H9fmuYGaxZrbMzF73Pkf1+a5QTb8b5nw753z3IjDZZBPQncByNCuAfpGOq577mAtkVCl7ALjHe38P8HvvfT/vO0gEsrzvJjbSfQixn2OBocCqs+kngZnkowmsN/kmMDHSfTuDfk8D/ruaulHRb6A9MNR7nwZs8PoW1ee7ln5H+/k2INV7Hw8sBEb54HzX1O+oPt9B/fkB8Dzwuvc5qs93Lf1ukPPt15HAykfaOeeKgYrH0kW7yQQetYf38+qg8hedc0XOuS0EZmuPaPjwTp9z7iPgQJXi0+qnBdabbO6c+8wF/iY9E9SmUaqh3zWJin4753Y55/7tvT8CrCXwVKCoPt+19Lsm0dJv55w76n2M916O6D/fNfW7JlHRbwAz6wRcAfwtqDiqzzfU2O+a1Gu//ZoE1vS4umjigLfNbKkFnpICVR65BwQ/ci+avo/T7WdH733V8qboTjNbaYHLxRWXTaKu32bWDRhCYJTEN+e7Sr8hys+3d4lsOYGHArzjnPPF+a6h3xDl5xv4E3A3UB5UFvXnm+r7DQ1wvv2aBJ7JY+mamvOcc0OBicAdZja2lrp++D6gfh9T2Bg9BvQABgO7gIe88qjqt5mlArOA/3LOHa6tajVl0dTvqD/fzrky59xgAk+AGmFm/WupHu39jurzbWZXAnudc0tDbVJNWTT1u0HOt1+TwJAeMdeUOed2ej/3Aq8QuLy7xxsyxs7gkXtNyOn2M897X7W8SXHO7fF+eZQDf+U/l/Sjpt9mFk8gEXrOOfdPrzjqz3d1/fbD+a7gnDsEfABMwAfnu0Jwv31wvs8DJplZLoFbtC42s2eJ/vNdbb8b6nz7NQkM5ZF2TZaZpZhZWsV74FJgFf555N5p9dO7xHDEzEZ5s6mmBLVpMir+ofR8kcA5hyjptxfj34G1zrk/Bm2K6vNdU799cL4zzayl974Z8AVgHdF/vqvtd7Sfb+fcT5xznZxz3Qj8Tn7POfdVovx819TvBjvfdc0cidYXgcfVbSAws+ZnkY6nnvvWncDsoRXA6or+AenAu8BG72froDY/876L9TSBmVRBcb9AYKi8hMD/hL5xJv0Esr2/ZJuAR/AWUm+srxr6/Q/gc2Cl9w9F+2jqN3A+gcsbK4Hl3uvyaD/ftfQ72s/3QGCZ179VwL1eebSf75r6HdXnu8p3MI7/zJKN6vNdS78b5HzriSEiIiIiPuTXy8EiIiIivqYkUERERMSHlASKiIiI+JCSQBEREREfUhIoIiIi4kNKAkVERER8SEmgiIiIiA8pCRQRERHxof8Pmed9X5AZZzgAAAAASUVORK5CYII=\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -806,17 +806,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 524,
+   "execution_count": 532,
    "id": "6f030b3f-1d57-49a2-adb1-66380d47e245",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f609e63b110>]"
+       "[<matplotlib.lines.Line2D at 0x7f60a05ebed0>]"
       ]
      },
-     "execution_count": 524,
+     "execution_count": 532,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -831,7 +831,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -849,7 +849,8 @@
     "num_samples = 20000\n",
     "samples = codechef_rank.sample(num_samples, axis=0)\n",
     "cc_random = codechef_rank[codechef_rank['username'].isin(samples.username)]\n",
-    "mmr_random = mmr_rank[mmr_rank['username'].isin(samples.username)][['ratings', 'username']]\n",
+    "mmr_random = mmr_rank[mmr_rank['handle'].isin(samples.username)][['display_rating', 'handle']]\n",
+    "mmr_random.rename(inplace=True, columns={'cur_mu': 'ratings', 'handle': 'username'})\n",
     "\n",
     "union = set(cc_random.username) | set(mmr_random.username)\n",
     "\n",
@@ -883,10 +884,357 @@
     "The trend is not perfectly linear, as we saw earlier that the distributions of EloMMR and CodeChef ratings are vastly different in shape. It seems that the difference between the two is larger towards the lower range of CodeChef ratings (below 2200)."
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "c4a55c45-cf97-4703-ba85-562a1b4d0375",
+   "metadata": {},
+   "source": [
+    "# Transitioning CodeChef to EloMMR"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "96325654-58f7-4f8f-992b-d06ad9de6d8e",
+   "metadata": {},
+   "source": [
+    "The transition from CodeChef's current rating system to EloMMR is tricky, as the two rating systems produce different distributions and different scales. The different scales can easily be corrected, as one can scale EloMMR ratings to cover the same range of values as CodeChef. The shape of the two distributions present issues however. Due to the high density of ratings near 1500 for CodeChef's ratings, it's likely that EloMMR will greatly increase the average rating of participants just above 1500, and greatly decrease the average rating of participants just below 1500. This would lead to many participants being unhappy with the new rating system, as their ratings would rapidly decrease.\n",
+    "\n",
+    "Our proposed solution is to shift the ratings of EloMMR so that at least 80% of users expect a rating increase after the rating system change. Below we compute this shift."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 572,
+   "id": "b1507c93-96e9-4144-b619-eb76f64216df",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Rating shift (95%) is 302.01416015625\n"
+     ]
+    }
+   ],
+   "source": [
+    "def percent_happy(s, explvl=0):\n",
+    "    nsucc, ntot = 0, 0\n",
+    "    for name in rate_name_mmr:\n",
+    "        if explvl and (name not in num_contests or num_contests[name] < explvl):\n",
+    "            continue\n",
+    "        if rate_name_cc[name] <= rate_name_mmr[name] + s:\n",
+    "            nsucc += 1\n",
+    "        ntot += 1\n",
+    "    return nsucc / ntot\n",
+    "\n",
+    "def compute_shift(prop, explvl=0):\n",
+    "    l, r = -1200, 1200\n",
+    "    while abs(r - l) > 1e-1:\n",
+    "        m = (l + r) / 2\n",
+    "        if percent_happy(m, explvl) >= prop:\n",
+    "            r = m\n",
+    "        else:\n",
+    "            l = m\n",
+    "    return (l + r) / 2\n",
+    "\n",
+    "print('Rating shift (95%) is', compute_shift(0.80))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "45d1fe69-b113-45f4-ac52-3e11d91c25a8",
+   "metadata": {},
+   "source": [
+    "Let's see how the rating shift evolves as we vary the proportion required."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 573,
+   "id": "985500d2-ff89-4d94-b31f-83e628aa9a8a",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x7f60b9329cd0>]"
+      ]
+     },
+     "execution_count": 573,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "X = np.linspace(0.01, 0.99, 20)\n",
+    "Y = [compute_shift(x) for x in X]\n",
+    "plt.plot(Y, X) "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "06ca674f-6aff-43c5-adcc-c7c082736041",
+   "metadata": {},
+   "source": [
+    "Let's break things down by experience next. We'll examine what shift is needed for various levels of contest experience."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 575,
+   "id": "851ab3ef-0dc4-465b-937a-27caa3f61d7b",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x7f60ab0e2950>]"
+      ]
+     },
+     "execution_count": 575,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "Y = [compute_shift(0.80, exp) for exp in range(1, 11)]\n",
+    "X = list(range(1, 11))\n",
+    "plt.plot(X, Y)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "48544822-791a-42a0-a136-09f7a7bdeb39",
+   "metadata": {},
+   "source": [
+    "As we can see, higher values of rating shift are mostly required for less experienced users. We can also see this in the \"CodeChef Ratings vs. EloMMR Ratings\" plot that we generated earlier, as the spread between the ratings was largest for lower rated players (lower rated players are correlated with fewer contests)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f63198b1-fa65-4e08-98e8-a54d874358fe",
+   "metadata": {},
+   "source": [
+    "# Initializing EloMMR with CodeChef ratings"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c5de9f16-2703-4dcb-a596-9d6043f75cb2",
+   "metadata": {},
+   "source": [
+    "In this section, we initialize EloMMR with CodeChef ratings from a year ago and answer questions such as:\n",
+    "- How fast will the rating distribution change?\n",
+    "- What will the rating distribution converge to?\n",
+    "- How will the top-ranked players change?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 639,
+   "id": "62356367-8dbf-4cea-a5dd-99ea1f6d1dc4",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Cutoff contest: LTIME21\n"
+     ]
+    },
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>handle</th>\n",
+       "      <th>cur_mu</th>\n",
+       "      <th>num_contests</th>\n",
+       "      <th>cur_sigma</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>16</td>\n",
+       "      <td>1468</td>\n",
+       "      <td>1</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>17</td>\n",
+       "      <td>1538</td>\n",
+       "      <td>9</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>21</td>\n",
+       "      <td>1552</td>\n",
+       "      <td>1</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>22</td>\n",
+       "      <td>1403</td>\n",
+       "      <td>4</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>42</td>\n",
+       "      <td>1346</td>\n",
+       "      <td>3</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>50491</th>\n",
+       "      <td>661890</td>\n",
+       "      <td>1396</td>\n",
+       "      <td>1</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>50492</th>\n",
+       "      <td>661898</td>\n",
+       "      <td>1504</td>\n",
+       "      <td>1</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>50493</th>\n",
+       "      <td>661934</td>\n",
+       "      <td>1504</td>\n",
+       "      <td>1</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>50494</th>\n",
+       "      <td>661946</td>\n",
+       "      <td>1504</td>\n",
+       "      <td>1</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>50495</th>\n",
+       "      <td>662149</td>\n",
+       "      <td>1504</td>\n",
+       "      <td>1</td>\n",
+       "      <td>350.0</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>50496 rows × 4 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "       handle  cur_mu  num_contests  cur_sigma\n",
+       "0          16    1468             1      350.0\n",
+       "1          17    1538             9      350.0\n",
+       "2          21    1552             1      350.0\n",
+       "3          22    1403             4      350.0\n",
+       "4          42    1346             3      350.0\n",
+       "...       ...     ...           ...        ...\n",
+       "50491  661890    1396             1      350.0\n",
+       "50492  661898    1504             1      350.0\n",
+       "50493  661934    1504             1      350.0\n",
+       "50494  661946    1504             1      350.0\n",
+       "50495  662149    1504             1      350.0\n",
+       "\n",
+       "[50496 rows x 4 columns]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import time\n",
+    "import datetime\n",
+    "\n",
+    "# Determine closest contest a year ago from today\n",
+    "ts = time.mktime(datetime.datetime.strptime(\"25/04/2022\", \"%d/%m/%Y\").timetuple()) - 31557600\n",
+    "\n",
+    "# Figure out which CodeChef contest this is\n",
+    "sid = 0\n",
+    "for i, contest in enumerate(checkpoint_contests):\n",
+    "    if name_to_time[contest] > ts:\n",
+    "        sid = i-1\n",
+    "        break\n",
+    "        \n",
+    "# Augment codechef rating with number of contests\n",
+    "print('Cutoff contest:', id_to_name[sid])\n",
+    "# This is our nearest stored checkpoint\n",
+    "sid += 1\n",
+    "\n",
+    "contest = id_to_name[sid]\n",
+    "codechef_rank = pd.read_csv(f'{codechef_dir}/{contest}.csv')\n",
+    "num_contest_csv = pd.read_csv(f'{elommr_dir}/{contest}_numcontests.csv')\n",
+    "\n",
+    "merged = pd.merge(codechef_rank, num_contest_csv)\n",
+    "merged = merged.drop(merged.columns[2], axis=1)\n",
+    "merged['username'] = merged['username'].apply(lambda x: userid_map[x])\n",
+    "merged['cur_sigma'] = 350.\n",
+    "merged = merged.rename(columns={'username': 'handle', 'ratings': 'cur_mu'})\n",
+    "display(merged)\n",
+    "\n",
+    "# Save this as the initial condition\n",
+    "merged.to_csv(f'/home/work_space/elommr-data/cc_init_condition-{contest}-{sid}.csv', index=False)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "47db9d6f-f834-471f-9518-2bdd109905e5",
+   "id": "1197e86c-af0b-421e-8c02-3286d4b4cfc1",
    "metadata": {},
    "outputs": [],
    "source": []

From 4d8036839fd34b161327c6737357bf9cd40f86a9 Mon Sep 17 00:00:00 2001
From: Paul Liu <paul.liu@stanford.edu>
Date: Thu, 5 May 2022 20:28:13 +0000
Subject: [PATCH 5/6] New notebook experiments.

---
 scripts/notebooks/codechef-experiments.ipynb | 1045 ++++++++++++------
 1 file changed, 711 insertions(+), 334 deletions(-)

diff --git a/scripts/notebooks/codechef-experiments.ipynb b/scripts/notebooks/codechef-experiments.ipynb
index a0a5400f..e1222f5c 100644
--- a/scripts/notebooks/codechef-experiments.ipynb
+++ b/scripts/notebooks/codechef-experiments.ipynb
@@ -5,7 +5,7 @@
    "id": "0998fc89-b4ac-4100-b963-6f80d226ce1b",
    "metadata": {},
    "source": [
-    "# Comparative study of EloMMR vs. The CodeChef Rating Sytem"
+    "# Comparative study of Elo-MMR vs. The CodeChef Rating Sytem"
    ]
   },
   {
@@ -13,17 +13,17 @@
    "id": "ba515b61-ed9a-4e01-bf3c-c5daa674c9b9",
    "metadata": {},
    "source": [
-    "In this notebook, we look at the EloMMR vs. CodeChef Rating System across the history of CodeChef contests. As detailed in our [paper](https://github.com/EbTech/Elo-MMR/tree/master/paper), EloMMR is a robust, statiscally principled rating system for massive multiplayer contests. We developed this system primarily with coding competitions in mind, and have done extensive comparisons with the TopCoder and CodeChef rating systems. The main benefits of EloMMR are:\n",
-    "- Speed and accuracy. EloMMR is at least an order of magnitude (typically more) faster than existing rating systems, and more accurate as well.\n",
-    "- Incentive-compatibility. EloMMR does not incentivize players to perform less than their best (unlike TopCoder and CodeChef, which can be attacked through so-called \"volatility farming\" attacks).\n",
+    "In this notebook, we look at the Elo-MMR vs. CodeChef Rating System across the history of CodeChef contests. As detailed in our [paper](https://github.com/EbTech/Elo-MMR/tree/master/paper), Elo-MMR is a robust, statiscally principled rating system for massive multiplayer contests. We developed this system primarily with coding competitions in mind, and have done extensive comparisons with the TopCoder and CodeChef rating systems. The main benefits of Elo-MMR are:\n",
+    "- Speed and accuracy. Elo-MMR is at least an order of magnitude (typically more) faster than existing rating systems, and more accurate as well.\n",
+    "- Incentive-compatibility. Elo-MMR does not incentivize players to perform less than their best (unlike TopCoder and CodeChef, which can be attacked through so-called \"volatility farming\" attacks).\n",
     "- Transparency. The entire codebase is open-source, and can be found [here](https://github.com/EbTech/Elo-MMR).\n",
     "\n",
-    "At the present moment, EloMMR has been implemented in production at [dmoj.ca](dmoj.ca), a contest system used primarily by Canadian competitive programmers. Our goal with this notebook will be to verify the above benefits on the CodeChef contest data, and to inform a transition from the CodeChef rating system to EloMMR. "
+    "At the present moment, Elo-MMR has been implemented in production at [dmoj.ca](dmoj.ca), a contest system used primarily by Canadian competitive programmers. Our goal with this notebook will be to verify the above benefits on the CodeChef contest data, and to inform a transition from the CodeChef rating system to Elo-MMR. "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 436,
+   "execution_count": 723,
    "id": "ba9c365e-8724-4a22-b7c1-f5fcc9ddad06",
    "metadata": {},
    "outputs": [],
@@ -44,7 +44,7 @@
     "First, we do some data cleaning / preprocessing. The code below will read the following:\n",
     "- All CodeChef contests since it's inception\n",
     "- Monthly checkpoints of CodeChef ratings\n",
-    "- Monthly checkpoints of EloMMR ratings\n",
+    "- Monthly checkpoints of Elo-MMR ratings\n",
     "- Various metadata (contest times, CodeChef numerical handles, etc.)\n",
     "\n",
     "The monthly checkpoints were computed from our rust codebase using the `codechef_checkpoints.rs` file. The entire CodeChef history of 667 contests (at the time of writing) took approximately 27 seconds to complete using our `mmr-fast` algorithm."
@@ -52,14 +52,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 437,
+   "execution_count": 724,
    "id": "3fb6a0be-393c-4a13-a8a6-f1c240182814",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "2412e64504dd4e55901182bdb7b4f0be",
+       "model_id": "27868f805ca84965853d9170eead52fc",
        "version_major": 2,
        "version_minor": 0
       },
@@ -133,21 +133,21 @@
    "source": [
     "In the code below, we measure a simple statistic for accuracy: the rank deviation. The rank deviation is the expected percentage your predicted rank (from the rating system) differs from your actual rank in the contest. Mathematically, the rank deviation of a player $i$ in a contest with $n$ participants is: \n",
     "\n",
-    "$$\\text{rank_deviation}_i = |\\text{actual_rank}_i - \\text{predicted_rank}_i| / n.$$\n",
+    "$$\\text{rank_deviation}_i = |\\text{actual_rank}_i - \\text{predicted_rank}_i| / (n-1).$$\n",
     "\n",
     "When player $i$ is tied with other players, we measure the difference of the actual rank to the nearest endpoint of the interval of players $i$ is tied with (or $0$ if the predicted rank lies within the interval)."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 525,
+   "execution_count": 725,
    "id": "678d6f6b-0f18-4b4e-a40c-c3ce4ca6a779",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "993ffa1a0e924fcaa68792b9a1d27a3c",
+       "model_id": "6edaaf97152344fbbb4442ddcc3b7897",
        "version_major": 2,
        "version_minor": 0
       },
@@ -162,7 +162,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Ranking deviation percentage (mmr vs. cc): 0.18465993909696637 0.1937954106820019\n"
+      "Ranking deviation percentage (mmr vs. cc): 0.17803338763907314 0.1937954106820019\n"
      ]
     }
    ],
@@ -247,7 +247,7 @@
    "id": "9d12fe59-7735-4025-9ad5-e979180b586a",
    "metadata": {},
    "source": [
-    "As expected, the EloMMR algorithm is slightly more accurate with a lower ranking deviation metric."
+    "As expected, the Elo-MMR algorithm is slightly more accurate with a lower ranking deviation metric."
    ]
   },
   {
@@ -268,7 +268,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 439,
+   "execution_count": 726,
    "id": "d49276a5-31ec-42ac-9878-d23019770135",
    "metadata": {},
    "outputs": [
@@ -286,7 +286,7 @@
     },
     {
      "data": {
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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -304,7 +304,7 @@
     "\n",
     "# Add same columns to mmr ratings\n",
     "mmr_rank['username'] = mmr_rank.handle\n",
-    "mmr_rank['ratings'] = mmr_rank.display_rating\n",
+    "mmr_rank['ratings'] = mmr_rank.cur_mu\n",
     "\n",
     "rcParams['figure.figsize'] = (10, 6)\n",
     "\n",
@@ -327,7 +327,7 @@
     "    ax.set_title(title);\n",
     "\n",
     "plot_distribution(codechef_rank, 'Codechef Ratings')\n",
-    "plot_distribution(mmr_rank, 'EloMMR Ratings')"
+    "plot_distribution(mmr_rank, 'Elo-MMR Ratings')"
    ]
   },
   {
@@ -335,7 +335,7 @@
    "id": "1e5d7e51-aa04-4118-9036-f2c60f0d9479",
    "metadata": {},
    "source": [
-    "We see that EloMMR exhibits a much smaller range of support, whereas ratings for CodeChef are significantly inflated (up to over 4400). In particular, the rating gap between `gennady.korotkevich` and second place `maroonrk` reaches almost 1300 for CodeChef, but is only 80 points in EloMMR. CodeChef also tends to overuse the middle range of the distribution (around 1500), whereas EloMMR ratings are spread much more smoothly."
+    "We see that Elo-MMR exhibits a much smaller range of support, whereas ratings for CodeChef are significantly inflated (up to over 4400). In particular, the rating gap between `gennady.korotkevich` and second place `maroonrk` reaches almost 1300 for CodeChef, but is only 80 points in Elo-MMR. CodeChef also tends to overuse the middle range of the distribution (around 1500), whereas Elo-MMR ratings are spread much more smoothly."
    ]
   },
   {
@@ -351,12 +351,12 @@
    "id": "81be551f-24c1-4abd-9c36-3b616f3c686f",
    "metadata": {},
    "source": [
-    "Let's first take a look at the raw ranklists of the top 50. On the left we have CodeChef, and on the right we have EloMMR. We see many common names (in green) between the two lists. In fact, almost 70% of the top-50 list overlaps. "
+    "Let's first take a look at the raw ranklists of the top 50. On the left we have CodeChef, and on the right we have Elo-MMR. We see many common names (in green) between the two lists. In fact, almost 70% of the top-50 list overlaps. "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 444,
+   "execution_count": 727,
    "id": "29042084-070b-4c82-ad0a-3516443e4585",
    "metadata": {
     "tags": []
@@ -367,25 +367,36 @@
      "output_type": "stream",
      "text": [
       "Overlapping top-50 players:\n",
-      "{'lhic', 'peehs_moorhsum', 'progmatic', 'ACRush', 'msm1993', 'kutengine', 'lyrically', 'spycheese', 'rns5', 'alex_2oo8', 'he_____he', 'heno239', 'mugurelionut', 'oilhun', 'ccz181078', 'ceilks', 'kut_hbi1998', 'ksun48', 'rns4', 'neal', 'maksim1744', 'kal013', 'petr', 'endagorion', 'maroonrk', 'tmwilliamlin', 'white2302', 'sansen', 'tmyklebu', 'bigbag', 'geothermal', 'gennady.korotkevich', 'um_nik', 'noimi'}\n",
+      "{'lhic', 'peehs_moorhsum', 'progmatic', 'ACRush', 'msm1993', 'kutengine', 'lyrically', 'isaf27', 'gorre_morre', 'spycheese', 'rns5', 'alex_2oo8', 'heno239', 'mugurelionut', 'oilhun', 'ccz181078', 'ceilks', 'kut_hbi1998', 'ksun48', 'rns4', 'neal', 'maksim1744', 'kal013', 'petr', 'endagorion', 'maroonrk', 'tmwilliamlin', 'white2302', 'sansen', 'bigbag', 'geothermal', 'gennady.korotkevich', 'um_nik', 'noimi'}\n",
       "Size of overlap: 34 \n",
       "\n",
-      "Unique EloMMR players: {'skyfire', 'tute7627', 'wrong_answer_1', 'scheffeli', 'wasa855', 'ssrs', 'kotatsugame', 'grumpy_gordon', 'hitonanode', 'rns_cus', 'vercingetorix', 'potato167', 'xaphoenix', 'uwi', 'jeroenodb', 'natsugiri'}\n",
-      "Unique CodeChef players: {'waterfalls', 'hh_algos', 'stonefeang', 'kut_hgs1997', 'fjzzq2002', 'ecnerwala', 'ryodan', 'algmyr', 'Fdg', 'iafir', 'dj3500', 'gainullinildar', 'isaf27', 'gorre_morre', 'aawisong', 'b524'}\n"
+      "Unique Elo-MMR players: {'skyfire', 'tute7627', 'wrong_answer_1', 'lebron', 'hitonanode', 'ssrs', 'zhouyuyang', 'grumpy_gordon', 'kotatsugame', 'risujiroh', 'zhouyuchen', 'vercingetorix', 'krismaz', 'uwi', 'argos', 'natsugiri'}\n",
+      "Unique CodeChef players: {'waterfalls', 'hh_algos', 'stonefeang', 'kut_hgs1997', 'fjzzq2002', 'ecnerwala', 'ryodan', 'algmyr', 'Fdg', 'iafir', 'tmyklebu', 'dj3500', 'gainullinildar', 'aawisong', 'he_____he', 'b524'}\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/opt/conda/lib/python3.7/site-packages/pandas/core/frame.py:5047: SettingWithCopyWarning: \n",
+      "A value is trying to be set on a copy of a slice from a DataFrame\n",
+      "\n",
+      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
+      "  errors=errors,\n"
      ]
     },
     {
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+       "#T_b724f_row0_col0, #T_b724f_row0_col1, #T_b724f_row0_col2, #T_b724f_row0_col3, #T_b724f_row1_col0, #T_b724f_row1_col1, #T_b724f_row1_col2, #T_b724f_row1_col3, #T_b724f_row2_col0, #T_b724f_row2_col1, #T_b724f_row2_col2, #T_b724f_row2_col3, #T_b724f_row3_col0, #T_b724f_row3_col1, #T_b724f_row3_col2, #T_b724f_row3_col3, #T_b724f_row4_col0, #T_b724f_row4_col1, #T_b724f_row4_col2, #T_b724f_row4_col3, #T_b724f_row5_col0, #T_b724f_row5_col1, #T_b724f_row5_col2, #T_b724f_row5_col3, #T_b724f_row6_col0, #T_b724f_row6_col1, #T_b724f_row6_col2, #T_b724f_row6_col3, #T_b724f_row7_col0, #T_b724f_row7_col1, #T_b724f_row7_col2, #T_b724f_row7_col3, #T_b724f_row8_col0, #T_b724f_row8_col1, #T_b724f_row8_col2, #T_b724f_row8_col3, #T_b724f_row9_col0, #T_b724f_row9_col1, #T_b724f_row9_col2, #T_b724f_row9_col3, #T_b724f_row10_col0, #T_b724f_row10_col1, #T_b724f_row10_col2, #T_b724f_row10_col3, #T_b724f_row11_col2, #T_b724f_row11_col3, #T_b724f_row12_col0, #T_b724f_row12_col1, #T_b724f_row12_col2, #T_b724f_row12_col3, #T_b724f_row13_col0, #T_b724f_row13_col1, #T_b724f_row13_col2, #T_b724f_row13_col3, #T_b724f_row14_col0, #T_b724f_row14_col1, #T_b724f_row15_col0, #T_b724f_row15_col1, #T_b724f_row15_col2, #T_b724f_row15_col3, #T_b724f_row16_col0, #T_b724f_row16_col1, #T_b724f_row16_col2, #T_b724f_row16_col3, #T_b724f_row17_col0, #T_b724f_row17_col1, #T_b724f_row18_col0, #T_b724f_row18_col1, #T_b724f_row18_col2, #T_b724f_row18_col3, #T_b724f_row19_col2, #T_b724f_row19_col3, #T_b724f_row20_col0, #T_b724f_row20_col1, #T_b724f_row20_col2, #T_b724f_row20_col3, #T_b724f_row22_col0, #T_b724f_row22_col1, #T_b724f_row22_col2, #T_b724f_row22_col3, #T_b724f_row23_col2, #T_b724f_row23_col3, #T_b724f_row24_col0, #T_b724f_row24_col1, #T_b724f_row24_col2, #T_b724f_row24_col3, #T_b724f_row26_col2, #T_b724f_row26_col3, #T_b724f_row27_col0, #T_b724f_row27_col1, #T_b724f_row28_col0, #T_b724f_row28_col1, #T_b724f_row28_col2, #T_b724f_row28_col3, #T_b724f_row30_col0, #T_b724f_row30_col1, #T_b724f_row30_col2, #T_b724f_row30_col3, #T_b724f_row31_col0, #T_b724f_row31_col1, #T_b724f_row33_col0, #T_b724f_row33_col1, #T_b724f_row33_col2, #T_b724f_row33_col3, #T_b724f_row34_col0, #T_b724f_row34_col1, #T_b724f_row34_col2, #T_b724f_row34_col3, #T_b724f_row35_col2, #T_b724f_row35_col3, #T_b724f_row36_col0, #T_b724f_row36_col1, #T_b724f_row38_col2, #T_b724f_row38_col3, #T_b724f_row39_col0, #T_b724f_row39_col1, #T_b724f_row40_col0, #T_b724f_row40_col1, #T_b724f_row41_col0, #T_b724f_row41_col1, #T_b724f_row41_col2, #T_b724f_row41_col3, #T_b724f_row43_col0, #T_b724f_row43_col1, #T_b724f_row45_col0, #T_b724f_row45_col1, #T_b724f_row45_col2, #T_b724f_row45_col3, #T_b724f_row47_col2, #T_b724f_row47_col3, #T_b724f_row48_col0, #T_b724f_row48_col1, #T_b724f_row48_col2, #T_b724f_row48_col3, #T_b724f_row49_col2, #T_b724f_row49_col3 {\n",
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+       "#T_b724f_row11_col0, #T_b724f_row11_col1, #T_b724f_row14_col2, #T_b724f_row14_col3, #T_b724f_row17_col2, #T_b724f_row17_col3, #T_b724f_row19_col0, #T_b724f_row19_col1, #T_b724f_row21_col0, #T_b724f_row21_col1, #T_b724f_row21_col2, #T_b724f_row21_col3, #T_b724f_row23_col0, #T_b724f_row23_col1, #T_b724f_row25_col0, #T_b724f_row25_col1, #T_b724f_row25_col2, #T_b724f_row25_col3, #T_b724f_row26_col0, #T_b724f_row26_col1, #T_b724f_row27_col2, #T_b724f_row27_col3, #T_b724f_row29_col0, #T_b724f_row29_col1, #T_b724f_row29_col2, #T_b724f_row29_col3, #T_b724f_row31_col2, #T_b724f_row31_col3, #T_b724f_row32_col0, #T_b724f_row32_col1, #T_b724f_row32_col2, #T_b724f_row32_col3, #T_b724f_row35_col0, #T_b724f_row35_col1, #T_b724f_row36_col2, #T_b724f_row36_col3, #T_b724f_row37_col0, #T_b724f_row37_col1, #T_b724f_row37_col2, #T_b724f_row37_col3, #T_b724f_row38_col0, #T_b724f_row38_col1, #T_b724f_row39_col2, #T_b724f_row39_col3, #T_b724f_row40_col2, #T_b724f_row40_col3, #T_b724f_row42_col0, #T_b724f_row42_col1, #T_b724f_row42_col2, #T_b724f_row42_col3, #T_b724f_row43_col2, #T_b724f_row43_col3, #T_b724f_row44_col0, #T_b724f_row44_col1, #T_b724f_row44_col2, #T_b724f_row44_col3, #T_b724f_row46_col0, #T_b724f_row46_col1, #T_b724f_row46_col2, #T_b724f_row46_col3, #T_b724f_row47_col0, #T_b724f_row47_col1, #T_b724f_row49_col0, #T_b724f_row49_col1 {\n",
        "  background-color: lightyellow;\n",
        "}\n",
        "</style>\n",
-       "<table id=\"T_ba7ca_\">\n",
+       "<table id=\"T_b724f_\">\n",
        "  <thead>\n",
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        "      <th class=\"blank level0\" >&nbsp;</th>\n",
@@ -397,360 +408,360 @@
        "  </thead>\n",
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-       "      <td id=\"T_ba7ca_row0_col3\" class=\"data row0 col3\" >3305</td>\n",
+       "      <th id=\"T_b724f_level0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
+       "      <td id=\"T_b724f_row0_col0\" class=\"data row0 col0\" >gennady.korotkevich</td>\n",
+       "      <td id=\"T_b724f_row0_col1\" class=\"data row0 col1\" >4410</td>\n",
+       "      <td id=\"T_b724f_row0_col2\" class=\"data row0 col2\" >gennady.korotkevich</td>\n",
+       "      <td id=\"T_b724f_row0_col3\" class=\"data row0 col3\" >3752</td>\n",
        "    </tr>\n",
        "    <tr>\n",
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-       "      <td id=\"T_ba7ca_row1_col3\" class=\"data row1 col3\" >3225</td>\n",
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        "    </tr>\n",
        "    <tr>\n",
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-       "      <td id=\"T_ba7ca_row2_col2\" class=\"data row2 col2\" >ksun48</td>\n",
-       "      <td id=\"T_ba7ca_row2_col3\" class=\"data row2 col3\" >3163</td>\n",
+       "      <th id=\"T_b724f_level0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
+       "      <td id=\"T_b724f_row2_col0\" class=\"data row2 col0\" >ACRush</td>\n",
+       "      <td id=\"T_b724f_row2_col1\" class=\"data row2 col1\" >3084</td>\n",
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+       "      <td id=\"T_b724f_row2_col3\" class=\"data row2 col3\" >3549</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
-       "      <td id=\"T_ba7ca_row3_col0\" class=\"data row3 col0\" >rns4</td>\n",
-       "      <td id=\"T_ba7ca_row3_col1\" class=\"data row3 col1\" >3061</td>\n",
-       "      <td id=\"T_ba7ca_row3_col2\" class=\"data row3 col2\" >spycheese</td>\n",
-       "      <td id=\"T_ba7ca_row3_col3\" class=\"data row3 col3\" >3068</td>\n",
+       "      <th id=\"T_b724f_level0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
+       "      <td id=\"T_b724f_row3_col0\" class=\"data row3 col0\" >rns4</td>\n",
+       "      <td id=\"T_b724f_row3_col1\" class=\"data row3 col1\" >3061</td>\n",
+       "      <td id=\"T_b724f_row3_col2\" class=\"data row3 col2\" >mugurelionut</td>\n",
+       "      <td id=\"T_b724f_row3_col3\" class=\"data row3 col3\" >3422</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
-       "      <td id=\"T_ba7ca_row4_col0\" class=\"data row4 col0\" >lyrically</td>\n",
-       "      <td id=\"T_ba7ca_row4_col1\" class=\"data row4 col1\" >3046</td>\n",
-       "      <td id=\"T_ba7ca_row4_col2\" class=\"data row4 col2\" >lyrically</td>\n",
-       "      <td id=\"T_ba7ca_row4_col3\" class=\"data row4 col3\" >3055</td>\n",
+       "      <th id=\"T_b724f_level0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
+       "      <td id=\"T_b724f_row4_col0\" class=\"data row4 col0\" >lyrically</td>\n",
+       "      <td id=\"T_b724f_row4_col1\" class=\"data row4 col1\" >3046</td>\n",
+       "      <td id=\"T_b724f_row4_col2\" class=\"data row4 col2\" >lyrically</td>\n",
+       "      <td id=\"T_b724f_row4_col3\" class=\"data row4 col3\" >3358</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row5\" class=\"row_heading level0 row5\" >5</th>\n",
-       "      <td id=\"T_ba7ca_row5_col0\" class=\"data row5 col0\" >kutengine</td>\n",
-       "      <td id=\"T_ba7ca_row5_col1\" class=\"data row5 col1\" >3046</td>\n",
-       "      <td id=\"T_ba7ca_row5_col2\" class=\"data row5 col2\" >petr</td>\n",
-       "      <td id=\"T_ba7ca_row5_col3\" class=\"data row5 col3\" >3013</td>\n",
+       "      <th id=\"T_b724f_level0_row5\" class=\"row_heading level0 row5\" >5</th>\n",
+       "      <td id=\"T_b724f_row5_col0\" class=\"data row5 col0\" >kutengine</td>\n",
+       "      <td id=\"T_b724f_row5_col1\" class=\"data row5 col1\" >3046</td>\n",
+       "      <td id=\"T_b724f_row5_col2\" class=\"data row5 col2\" >spycheese</td>\n",
+       "      <td id=\"T_b724f_row5_col3\" class=\"data row5 col3\" >3340</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
-       "      <td id=\"T_ba7ca_row6_col0\" class=\"data row6 col0\" >ksun48</td>\n",
-       "      <td id=\"T_ba7ca_row6_col1\" class=\"data row6 col1\" >3033</td>\n",
-       "      <td id=\"T_ba7ca_row6_col2\" class=\"data row6 col2\" >mugurelionut</td>\n",
-       "      <td id=\"T_ba7ca_row6_col3\" class=\"data row6 col3\" >3002</td>\n",
+       "      <th id=\"T_b724f_level0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
+       "      <td id=\"T_b724f_row6_col0\" class=\"data row6 col0\" >ksun48</td>\n",
+       "      <td id=\"T_b724f_row6_col1\" class=\"data row6 col1\" >3033</td>\n",
+       "      <td id=\"T_b724f_row6_col2\" class=\"data row6 col2\" >ceilks</td>\n",
+       "      <td id=\"T_b724f_row6_col3\" class=\"data row6 col3\" >3308</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
-       "      <td id=\"T_ba7ca_row7_col0\" class=\"data row7 col0\" >petr</td>\n",
-       "      <td id=\"T_ba7ca_row7_col1\" class=\"data row7 col1\" >3020</td>\n",
-       "      <td id=\"T_ba7ca_row7_col2\" class=\"data row7 col2\" >peehs_moorhsum</td>\n",
-       "      <td id=\"T_ba7ca_row7_col3\" class=\"data row7 col3\" >3001</td>\n",
+       "      <th id=\"T_b724f_level0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
+       "      <td id=\"T_b724f_row7_col0\" class=\"data row7 col0\" >petr</td>\n",
+       "      <td id=\"T_b724f_row7_col1\" class=\"data row7 col1\" >3020</td>\n",
+       "      <td id=\"T_b724f_row7_col2\" class=\"data row7 col2\" >peehs_moorhsum</td>\n",
+       "      <td id=\"T_b724f_row7_col3\" class=\"data row7 col3\" >3297</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
-       "      <td id=\"T_ba7ca_row8_col0\" class=\"data row8 col0\" >peehs_moorhsum</td>\n",
-       "      <td id=\"T_ba7ca_row8_col1\" class=\"data row8 col1\" >2971</td>\n",
-       "      <td id=\"T_ba7ca_row8_col2\" class=\"data row8 col2\" >noimi</td>\n",
-       "      <td id=\"T_ba7ca_row8_col3\" class=\"data row8 col3\" >2993</td>\n",
+       "      <th id=\"T_b724f_level0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
+       "      <td id=\"T_b724f_row8_col0\" class=\"data row8 col0\" >peehs_moorhsum</td>\n",
+       "      <td id=\"T_b724f_row8_col1\" class=\"data row8 col1\" >2971</td>\n",
+       "      <td id=\"T_b724f_row8_col2\" class=\"data row8 col2\" >noimi</td>\n",
+       "      <td id=\"T_b724f_row8_col3\" class=\"data row8 col3\" >3274</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
-       "      <td id=\"T_ba7ca_row9_col0\" class=\"data row9 col0\" >progmatic</td>\n",
-       "      <td id=\"T_ba7ca_row9_col1\" class=\"data row9 col1\" >2935</td>\n",
-       "      <td id=\"T_ba7ca_row9_col2\" class=\"data row9 col2\" >heno239</td>\n",
-       "      <td id=\"T_ba7ca_row9_col3\" class=\"data row9 col3\" >2990</td>\n",
+       "      <th id=\"T_b724f_level0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
+       "      <td id=\"T_b724f_row9_col0\" class=\"data row9 col0\" >progmatic</td>\n",
+       "      <td id=\"T_b724f_row9_col1\" class=\"data row9 col1\" >2935</td>\n",
+       "      <td id=\"T_b724f_row9_col2\" class=\"data row9 col2\" >petr</td>\n",
+       "      <td id=\"T_b724f_row9_col3\" class=\"data row9 col3\" >3280</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
-       "      <td id=\"T_ba7ca_row10_col0\" class=\"data row10 col0\" >um_nik</td>\n",
-       "      <td id=\"T_ba7ca_row10_col1\" class=\"data row10 col1\" >2929</td>\n",
-       "      <td id=\"T_ba7ca_row10_col2\" class=\"data row10 col2\" >ceilks</td>\n",
-       "      <td id=\"T_ba7ca_row10_col3\" class=\"data row10 col3\" >2952</td>\n",
+       "      <th id=\"T_b724f_level0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
+       "      <td id=\"T_b724f_row10_col0\" class=\"data row10 col0\" >um_nik</td>\n",
+       "      <td id=\"T_b724f_row10_col1\" class=\"data row10 col1\" >2929</td>\n",
+       "      <td id=\"T_b724f_row10_col2\" class=\"data row10 col2\" >lhic</td>\n",
+       "      <td id=\"T_b724f_row10_col3\" class=\"data row10 col3\" >3262</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
-       "      <td id=\"T_ba7ca_row11_col0\" class=\"data row11 col0\" >b524</td>\n",
-       "      <td id=\"T_ba7ca_row11_col1\" class=\"data row11 col1\" >2910</td>\n",
-       "      <td id=\"T_ba7ca_row11_col2\" class=\"data row11 col2\" >neal</td>\n",
-       "      <td id=\"T_ba7ca_row11_col3\" class=\"data row11 col3\" >2950</td>\n",
+       "      <th id=\"T_b724f_level0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
+       "      <td id=\"T_b724f_row11_col0\" class=\"data row11 col0\" >b524</td>\n",
+       "      <td id=\"T_b724f_row11_col1\" class=\"data row11 col1\" >2910</td>\n",
+       "      <td id=\"T_b724f_row11_col2\" class=\"data row11 col2\" >ACRush</td>\n",
+       "      <td id=\"T_b724f_row11_col3\" class=\"data row11 col3\" >3236</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
-       "      <td id=\"T_ba7ca_row12_col0\" class=\"data row12 col0\" >neal</td>\n",
-       "      <td id=\"T_ba7ca_row12_col1\" class=\"data row12 col1\" >2898</td>\n",
-       "      <td id=\"T_ba7ca_row12_col2\" class=\"data row12 col2\" >geothermal</td>\n",
-       "      <td id=\"T_ba7ca_row12_col3\" class=\"data row12 col3\" >2945</td>\n",
+       "      <th id=\"T_b724f_level0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
+       "      <td id=\"T_b724f_row12_col0\" class=\"data row12 col0\" >neal</td>\n",
+       "      <td id=\"T_b724f_row12_col1\" class=\"data row12 col1\" >2898</td>\n",
+       "      <td id=\"T_b724f_row12_col2\" class=\"data row12 col2\" >geothermal</td>\n",
+       "      <td id=\"T_b724f_row12_col3\" class=\"data row12 col3\" >3236</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row13\" class=\"row_heading level0 row13\" >13</th>\n",
-       "      <td id=\"T_ba7ca_row13_col0\" class=\"data row13 col0\" >spycheese</td>\n",
-       "      <td id=\"T_ba7ca_row13_col1\" class=\"data row13 col1\" >2895</td>\n",
-       "      <td id=\"T_ba7ca_row13_col2\" class=\"data row13 col2\" >rns5</td>\n",
-       "      <td id=\"T_ba7ca_row13_col3\" class=\"data row13 col3\" >2944</td>\n",
+       "      <th id=\"T_b724f_level0_row13\" class=\"row_heading level0 row13\" >13</th>\n",
+       "      <td id=\"T_b724f_row13_col0\" class=\"data row13 col0\" >spycheese</td>\n",
+       "      <td id=\"T_b724f_row13_col1\" class=\"data row13 col1\" >2895</td>\n",
+       "      <td id=\"T_b724f_row13_col2\" class=\"data row13 col2\" >kutengine</td>\n",
+       "      <td id=\"T_b724f_row13_col3\" class=\"data row13 col3\" >3200</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row14\" class=\"row_heading level0 row14\" >14</th>\n",
-       "      <td id=\"T_ba7ca_row14_col0\" class=\"data row14 col0\" >kut_hbi1998</td>\n",
-       "      <td id=\"T_ba7ca_row14_col1\" class=\"data row14 col1\" >2894</td>\n",
-       "      <td id=\"T_ba7ca_row14_col2\" class=\"data row14 col2\" >kutengine</td>\n",
-       "      <td id=\"T_ba7ca_row14_col3\" class=\"data row14 col3\" >2932</td>\n",
+       "      <th id=\"T_b724f_level0_row14\" class=\"row_heading level0 row14\" >14</th>\n",
+       "      <td id=\"T_b724f_row14_col0\" class=\"data row14 col0\" >kut_hbi1998</td>\n",
+       "      <td id=\"T_b724f_row14_col1\" class=\"data row14 col1\" >2894</td>\n",
+       "      <td id=\"T_b724f_row14_col2\" class=\"data row14 col2\" >uwi</td>\n",
+       "      <td id=\"T_b724f_row14_col3\" class=\"data row14 col3\" >3188</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row15\" class=\"row_heading level0 row15\" >15</th>\n",
-       "      <td id=\"T_ba7ca_row15_col0\" class=\"data row15 col0\" >mugurelionut</td>\n",
-       "      <td id=\"T_ba7ca_row15_col1\" class=\"data row15 col1\" >2892</td>\n",
-       "      <td id=\"T_ba7ca_row15_col2\" class=\"data row15 col2\" >rns4</td>\n",
-       "      <td id=\"T_ba7ca_row15_col3\" class=\"data row15 col3\" >2932</td>\n",
+       "      <th id=\"T_b724f_level0_row15\" class=\"row_heading level0 row15\" >15</th>\n",
+       "      <td id=\"T_b724f_row15_col0\" class=\"data row15 col0\" >mugurelionut</td>\n",
+       "      <td id=\"T_b724f_row15_col1\" class=\"data row15 col1\" >2892</td>\n",
+       "      <td id=\"T_b724f_row15_col2\" class=\"data row15 col2\" >white2302</td>\n",
+       "      <td id=\"T_b724f_row15_col3\" class=\"data row15 col3\" >3170</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row16\" class=\"row_heading level0 row16\" >16</th>\n",
-       "      <td id=\"T_ba7ca_row16_col0\" class=\"data row16 col0\" >rns5</td>\n",
-       "      <td id=\"T_ba7ca_row16_col1\" class=\"data row16 col1\" >2879</td>\n",
-       "      <td id=\"T_ba7ca_row16_col2\" class=\"data row16 col2\" >vercingetorix</td>\n",
-       "      <td id=\"T_ba7ca_row16_col3\" class=\"data row16 col3\" >2932</td>\n",
+       "      <th id=\"T_b724f_level0_row16\" class=\"row_heading level0 row16\" >16</th>\n",
+       "      <td id=\"T_b724f_row16_col0\" class=\"data row16 col0\" >rns5</td>\n",
+       "      <td id=\"T_b724f_row16_col1\" class=\"data row16 col1\" >2879</td>\n",
+       "      <td id=\"T_b724f_row16_col2\" class=\"data row16 col2\" >neal</td>\n",
+       "      <td id=\"T_b724f_row16_col3\" class=\"data row16 col3\" >3167</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row17\" class=\"row_heading level0 row17\" >17</th>\n",
-       "      <td id=\"T_ba7ca_row17_col0\" class=\"data row17 col0\" >white2302</td>\n",
-       "      <td id=\"T_ba7ca_row17_col1\" class=\"data row17 col1\" >2879</td>\n",
-       "      <td id=\"T_ba7ca_row17_col2\" class=\"data row17 col2\" >ACRush</td>\n",
-       "      <td id=\"T_ba7ca_row17_col3\" class=\"data row17 col3\" >2925</td>\n",
+       "      <th id=\"T_b724f_level0_row17\" class=\"row_heading level0 row17\" >17</th>\n",
+       "      <td id=\"T_b724f_row17_col0\" class=\"data row17 col0\" >white2302</td>\n",
+       "      <td id=\"T_b724f_row17_col1\" class=\"data row17 col1\" >2879</td>\n",
+       "      <td id=\"T_b724f_row17_col2\" class=\"data row17 col2\" >vercingetorix</td>\n",
+       "      <td id=\"T_b724f_row17_col3\" class=\"data row17 col3\" >3157</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row18\" class=\"row_heading level0 row18\" >18</th>\n",
-       "      <td id=\"T_ba7ca_row18_col0\" class=\"data row18 col0\" >noimi</td>\n",
-       "      <td id=\"T_ba7ca_row18_col1\" class=\"data row18 col1\" >2859</td>\n",
-       "      <td id=\"T_ba7ca_row18_col2\" class=\"data row18 col2\" >oilhun</td>\n",
-       "      <td id=\"T_ba7ca_row18_col3\" class=\"data row18 col3\" >2922</td>\n",
+       "      <th id=\"T_b724f_level0_row18\" class=\"row_heading level0 row18\" >18</th>\n",
+       "      <td id=\"T_b724f_row18_col0\" class=\"data row18 col0\" >noimi</td>\n",
+       "      <td id=\"T_b724f_row18_col1\" class=\"data row18 col1\" >2859</td>\n",
+       "      <td id=\"T_b724f_row18_col2\" class=\"data row18 col2\" >tmwilliamlin</td>\n",
+       "      <td id=\"T_b724f_row18_col3\" class=\"data row18 col3\" >3149</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row19\" class=\"row_heading level0 row19\" >19</th>\n",
-       "      <td id=\"T_ba7ca_row19_col0\" class=\"data row19 col0\" >tmyklebu</td>\n",
-       "      <td id=\"T_ba7ca_row19_col1\" class=\"data row19 col1\" >2855</td>\n",
-       "      <td id=\"T_ba7ca_row19_col2\" class=\"data row19 col2\" >maksim1744</td>\n",
-       "      <td id=\"T_ba7ca_row19_col3\" class=\"data row19 col3\" >2919</td>\n",
+       "      <th id=\"T_b724f_level0_row19\" class=\"row_heading level0 row19\" >19</th>\n",
+       "      <td id=\"T_b724f_row19_col0\" class=\"data row19 col0\" >tmyklebu</td>\n",
+       "      <td id=\"T_b724f_row19_col1\" class=\"data row19 col1\" >2855</td>\n",
+       "      <td id=\"T_b724f_row19_col2\" class=\"data row19 col2\" >kut_hbi1998</td>\n",
+       "      <td id=\"T_b724f_row19_col3\" class=\"data row19 col3\" >3152</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row20\" class=\"row_heading level0 row20\" >20</th>\n",
-       "      <td id=\"T_ba7ca_row20_col0\" class=\"data row20 col0\" >ceilks</td>\n",
-       "      <td id=\"T_ba7ca_row20_col1\" class=\"data row20 col1\" >2855</td>\n",
-       "      <td id=\"T_ba7ca_row20_col2\" class=\"data row20 col2\" >xaphoenix</td>\n",
-       "      <td id=\"T_ba7ca_row20_col3\" class=\"data row20 col3\" >2918</td>\n",
+       "      <th id=\"T_b724f_level0_row20\" class=\"row_heading level0 row20\" >20</th>\n",
+       "      <td id=\"T_b724f_row20_col0\" class=\"data row20 col0\" >ceilks</td>\n",
+       "      <td id=\"T_b724f_row20_col1\" class=\"data row20 col1\" >2855</td>\n",
+       "      <td id=\"T_b724f_row20_col2\" class=\"data row20 col2\" >heno239</td>\n",
+       "      <td id=\"T_b724f_row20_col3\" class=\"data row20 col3\" >3162</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row21\" class=\"row_heading level0 row21\" >21</th>\n",
-       "      <td id=\"T_ba7ca_row21_col0\" class=\"data row21 col0\" >ryodan</td>\n",
-       "      <td id=\"T_ba7ca_row21_col1\" class=\"data row21 col1\" >2833</td>\n",
-       "      <td id=\"T_ba7ca_row21_col2\" class=\"data row21 col2\" >kut_hbi1998</td>\n",
-       "      <td id=\"T_ba7ca_row21_col3\" class=\"data row21 col3\" >2887</td>\n",
+       "      <th id=\"T_b724f_level0_row21\" class=\"row_heading level0 row21\" >21</th>\n",
+       "      <td id=\"T_b724f_row21_col0\" class=\"data row21 col0\" >ryodan</td>\n",
+       "      <td id=\"T_b724f_row21_col1\" class=\"data row21 col1\" >2833</td>\n",
+       "      <td id=\"T_b724f_row21_col2\" class=\"data row21 col2\" >skyfire</td>\n",
+       "      <td id=\"T_b724f_row21_col3\" class=\"data row21 col3\" >3150</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row22\" class=\"row_heading level0 row22\" >22</th>\n",
-       "      <td id=\"T_ba7ca_row22_col0\" class=\"data row22 col0\" >heno239</td>\n",
-       "      <td id=\"T_ba7ca_row22_col1\" class=\"data row22 col1\" >2822</td>\n",
-       "      <td id=\"T_ba7ca_row22_col2\" class=\"data row22 col2\" >scheffeli</td>\n",
-       "      <td id=\"T_ba7ca_row22_col3\" class=\"data row22 col3\" >2887</td>\n",
+       "      <th id=\"T_b724f_level0_row22\" class=\"row_heading level0 row22\" >22</th>\n",
+       "      <td id=\"T_b724f_row22_col0\" class=\"data row22 col0\" >heno239</td>\n",
+       "      <td id=\"T_b724f_row22_col1\" class=\"data row22 col1\" >2822</td>\n",
+       "      <td id=\"T_b724f_row22_col2\" class=\"data row22 col2\" >maksim1744</td>\n",
+       "      <td id=\"T_b724f_row22_col3\" class=\"data row22 col3\" >3145</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row23\" class=\"row_heading level0 row23\" >23</th>\n",
-       "      <td id=\"T_ba7ca_row23_col0\" class=\"data row23 col0\" >ecnerwala</td>\n",
-       "      <td id=\"T_ba7ca_row23_col1\" class=\"data row23 col1\" >2817</td>\n",
-       "      <td id=\"T_ba7ca_row23_col2\" class=\"data row23 col2\" >rns_cus</td>\n",
-       "      <td id=\"T_ba7ca_row23_col3\" class=\"data row23 col3\" >2884</td>\n",
+       "      <th id=\"T_b724f_level0_row23\" class=\"row_heading level0 row23\" >23</th>\n",
+       "      <td id=\"T_b724f_row23_col0\" class=\"data row23 col0\" >ecnerwala</td>\n",
+       "      <td id=\"T_b724f_row23_col1\" class=\"data row23 col1\" >2817</td>\n",
+       "      <td id=\"T_b724f_row23_col2\" class=\"data row23 col2\" >msm1993</td>\n",
+       "      <td id=\"T_b724f_row23_col3\" class=\"data row23 col3\" >3142</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row24\" class=\"row_heading level0 row24\" >24</th>\n",
-       "      <td id=\"T_ba7ca_row24_col0\" class=\"data row24 col0\" >msm1993</td>\n",
-       "      <td id=\"T_ba7ca_row24_col1\" class=\"data row24 col1\" >2803</td>\n",
-       "      <td id=\"T_ba7ca_row24_col2\" class=\"data row24 col2\" >white2302</td>\n",
-       "      <td id=\"T_ba7ca_row24_col3\" class=\"data row24 col3\" >2883</td>\n",
+       "      <th id=\"T_b724f_level0_row24\" class=\"row_heading level0 row24\" >24</th>\n",
+       "      <td id=\"T_b724f_row24_col0\" class=\"data row24 col0\" >msm1993</td>\n",
+       "      <td id=\"T_b724f_row24_col1\" class=\"data row24 col1\" >2803</td>\n",
+       "      <td id=\"T_b724f_row24_col2\" class=\"data row24 col2\" >progmatic</td>\n",
+       "      <td id=\"T_b724f_row24_col3\" class=\"data row24 col3\" >3138</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row25\" class=\"row_heading level0 row25\" >25</th>\n",
-       "      <td id=\"T_ba7ca_row25_col0\" class=\"data row25 col0\" >hh_algos</td>\n",
-       "      <td id=\"T_ba7ca_row25_col1\" class=\"data row25 col1\" >2800</td>\n",
-       "      <td id=\"T_ba7ca_row25_col2\" class=\"data row25 col2\" >lhic</td>\n",
-       "      <td id=\"T_ba7ca_row25_col3\" class=\"data row25 col3\" >2882</td>\n",
+       "      <th id=\"T_b724f_level0_row25\" class=\"row_heading level0 row25\" >25</th>\n",
+       "      <td id=\"T_b724f_row25_col0\" class=\"data row25 col0\" >hh_algos</td>\n",
+       "      <td id=\"T_b724f_row25_col1\" class=\"data row25 col1\" >2800</td>\n",
+       "      <td id=\"T_b724f_row25_col2\" class=\"data row25 col2\" >lebron</td>\n",
+       "      <td id=\"T_b724f_row25_col3\" class=\"data row25 col3\" >3126</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row26\" class=\"row_heading level0 row26\" >26</th>\n",
-       "      <td id=\"T_ba7ca_row26_col0\" class=\"data row26 col0\" >kut_hgs1997</td>\n",
-       "      <td id=\"T_ba7ca_row26_col1\" class=\"data row26 col1\" >2798</td>\n",
-       "      <td id=\"T_ba7ca_row26_col2\" class=\"data row26 col2\" >natsugiri</td>\n",
-       "      <td id=\"T_ba7ca_row26_col3\" class=\"data row26 col3\" >2861</td>\n",
+       "      <th id=\"T_b724f_level0_row26\" class=\"row_heading level0 row26\" >26</th>\n",
+       "      <td id=\"T_b724f_row26_col0\" class=\"data row26 col0\" >kut_hgs1997</td>\n",
+       "      <td id=\"T_b724f_row26_col1\" class=\"data row26 col1\" >2798</td>\n",
+       "      <td id=\"T_b724f_row26_col2\" class=\"data row26 col2\" >rns4</td>\n",
+       "      <td id=\"T_b724f_row26_col3\" class=\"data row26 col3\" >3126</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row27\" class=\"row_heading level0 row27\" >27</th>\n",
-       "      <td id=\"T_ba7ca_row27_col0\" class=\"data row27 col0\" >tmwilliamlin</td>\n",
-       "      <td id=\"T_ba7ca_row27_col1\" class=\"data row27 col1\" >2787</td>\n",
-       "      <td id=\"T_ba7ca_row27_col2\" class=\"data row27 col2\" >uwi</td>\n",
-       "      <td id=\"T_ba7ca_row27_col3\" class=\"data row27 col3\" >2859</td>\n",
+       "      <th id=\"T_b724f_level0_row27\" class=\"row_heading level0 row27\" >27</th>\n",
+       "      <td id=\"T_b724f_row27_col0\" class=\"data row27 col0\" >tmwilliamlin</td>\n",
+       "      <td id=\"T_b724f_row27_col1\" class=\"data row27 col1\" >2787</td>\n",
+       "      <td id=\"T_b724f_row27_col2\" class=\"data row27 col2\" >natsugiri</td>\n",
+       "      <td id=\"T_b724f_row27_col3\" class=\"data row27 col3\" >3120</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row28\" class=\"row_heading level0 row28\" >28</th>\n",
-       "      <td id=\"T_ba7ca_row28_col0\" class=\"data row28 col0\" >sansen</td>\n",
-       "      <td id=\"T_ba7ca_row28_col1\" class=\"data row28 col1\" >2787</td>\n",
-       "      <td id=\"T_ba7ca_row28_col2\" class=\"data row28 col2\" >ssrs</td>\n",
-       "      <td id=\"T_ba7ca_row28_col3\" class=\"data row28 col3\" >2856</td>\n",
+       "      <th id=\"T_b724f_level0_row28\" class=\"row_heading level0 row28\" >28</th>\n",
+       "      <td id=\"T_b724f_row28_col0\" class=\"data row28 col0\" >sansen</td>\n",
+       "      <td id=\"T_b724f_row28_col1\" class=\"data row28 col1\" >2787</td>\n",
+       "      <td id=\"T_b724f_row28_col2\" class=\"data row28 col2\" >alex_2oo8</td>\n",
+       "      <td id=\"T_b724f_row28_col3\" class=\"data row28 col3\" >3116</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row29\" class=\"row_heading level0 row29\" >29</th>\n",
-       "      <td id=\"T_ba7ca_row29_col0\" class=\"data row29 col0\" >dj3500</td>\n",
-       "      <td id=\"T_ba7ca_row29_col1\" class=\"data row29 col1\" >2780</td>\n",
-       "      <td id=\"T_ba7ca_row29_col2\" class=\"data row29 col2\" >sansen</td>\n",
-       "      <td id=\"T_ba7ca_row29_col3\" class=\"data row29 col3\" >2854</td>\n",
+       "      <th id=\"T_b724f_level0_row29\" class=\"row_heading level0 row29\" >29</th>\n",
+       "      <td id=\"T_b724f_row29_col0\" class=\"data row29 col0\" >dj3500</td>\n",
+       "      <td id=\"T_b724f_row29_col1\" class=\"data row29 col1\" >2780</td>\n",
+       "      <td id=\"T_b724f_row29_col2\" class=\"data row29 col2\" >hitonanode</td>\n",
+       "      <td id=\"T_b724f_row29_col3\" class=\"data row29 col3\" >3090</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row30\" class=\"row_heading level0 row30\" >30</th>\n",
-       "      <td id=\"T_ba7ca_row30_col0\" class=\"data row30 col0\" >lhic</td>\n",
-       "      <td id=\"T_ba7ca_row30_col1\" class=\"data row30 col1\" >2772</td>\n",
-       "      <td id=\"T_ba7ca_row30_col2\" class=\"data row30 col2\" >ccz181078</td>\n",
-       "      <td id=\"T_ba7ca_row30_col3\" class=\"data row30 col3\" >2850</td>\n",
+       "      <th id=\"T_b724f_level0_row30\" class=\"row_heading level0 row30\" >30</th>\n",
+       "      <td id=\"T_b724f_row30_col0\" class=\"data row30 col0\" >lhic</td>\n",
+       "      <td id=\"T_b724f_row30_col1\" class=\"data row30 col1\" >2772</td>\n",
+       "      <td id=\"T_b724f_row30_col2\" class=\"data row30 col2\" >ccz181078</td>\n",
+       "      <td id=\"T_b724f_row30_col3\" class=\"data row30 col3\" >3090</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row31\" class=\"row_heading level0 row31\" >31</th>\n",
-       "      <td id=\"T_ba7ca_row31_col0\" class=\"data row31 col0\" >gorre_morre</td>\n",
-       "      <td id=\"T_ba7ca_row31_col1\" class=\"data row31 col1\" >2767</td>\n",
-       "      <td id=\"T_ba7ca_row31_col2\" class=\"data row31 col2\" >progmatic</td>\n",
-       "      <td id=\"T_ba7ca_row31_col3\" class=\"data row31 col3\" >2848</td>\n",
+       "      <th id=\"T_b724f_level0_row31\" class=\"row_heading level0 row31\" >31</th>\n",
+       "      <td id=\"T_b724f_row31_col0\" class=\"data row31 col0\" >gorre_morre</td>\n",
+       "      <td id=\"T_b724f_row31_col1\" class=\"data row31 col1\" >2767</td>\n",
+       "      <td id=\"T_b724f_row31_col2\" class=\"data row31 col2\" >tute7627</td>\n",
+       "      <td id=\"T_b724f_row31_col3\" class=\"data row31 col3\" >3085</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row32\" class=\"row_heading level0 row32\" >32</th>\n",
-       "      <td id=\"T_ba7ca_row32_col0\" class=\"data row32 col0\" >gainullinildar</td>\n",
-       "      <td id=\"T_ba7ca_row32_col1\" class=\"data row32 col1\" >2767</td>\n",
-       "      <td id=\"T_ba7ca_row32_col2\" class=\"data row32 col2\" >tute7627</td>\n",
-       "      <td id=\"T_ba7ca_row32_col3\" class=\"data row32 col3\" >2842</td>\n",
+       "      <th id=\"T_b724f_level0_row32\" class=\"row_heading level0 row32\" >32</th>\n",
+       "      <td id=\"T_b724f_row32_col0\" class=\"data row32 col0\" >gainullinildar</td>\n",
+       "      <td id=\"T_b724f_row32_col1\" class=\"data row32 col1\" >2767</td>\n",
+       "      <td id=\"T_b724f_row32_col2\" class=\"data row32 col2\" >argos</td>\n",
+       "      <td id=\"T_b724f_row32_col3\" class=\"data row32 col3\" >3075</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row33\" class=\"row_heading level0 row33\" >33</th>\n",
-       "      <td id=\"T_ba7ca_row33_col0\" class=\"data row33 col0\" >maksim1744</td>\n",
-       "      <td id=\"T_ba7ca_row33_col1\" class=\"data row33 col1\" >2764</td>\n",
-       "      <td id=\"T_ba7ca_row33_col2\" class=\"data row33 col2\" >wasa855</td>\n",
-       "      <td id=\"T_ba7ca_row33_col3\" class=\"data row33 col3\" >2840</td>\n",
+       "      <th id=\"T_b724f_level0_row33\" class=\"row_heading level0 row33\" >33</th>\n",
+       "      <td id=\"T_b724f_row33_col0\" class=\"data row33 col0\" >maksim1744</td>\n",
+       "      <td id=\"T_b724f_row33_col1\" class=\"data row33 col1\" >2764</td>\n",
+       "      <td id=\"T_b724f_row33_col2\" class=\"data row33 col2\" >sansen</td>\n",
+       "      <td id=\"T_b724f_row33_col3\" class=\"data row33 col3\" >3074</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row34\" class=\"row_heading level0 row34\" >34</th>\n",
-       "      <td id=\"T_ba7ca_row34_col0\" class=\"data row34 col0\" >oilhun</td>\n",
-       "      <td id=\"T_ba7ca_row34_col1\" class=\"data row34 col1\" >2753</td>\n",
-       "      <td id=\"T_ba7ca_row34_col2\" class=\"data row34 col2\" >msm1993</td>\n",
-       "      <td id=\"T_ba7ca_row34_col3\" class=\"data row34 col3\" >2839</td>\n",
+       "      <th id=\"T_b724f_level0_row34\" class=\"row_heading level0 row34\" >34</th>\n",
+       "      <td id=\"T_b724f_row34_col0\" class=\"data row34 col0\" >oilhun</td>\n",
+       "      <td id=\"T_b724f_row34_col1\" class=\"data row34 col1\" >2753</td>\n",
+       "      <td id=\"T_b724f_row34_col2\" class=\"data row34 col2\" >kal013</td>\n",
+       "      <td id=\"T_b724f_row34_col3\" class=\"data row34 col3\" >3064</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row35\" class=\"row_heading level0 row35\" >35</th>\n",
-       "      <td id=\"T_ba7ca_row35_col0\" class=\"data row35 col0\" >waterfalls</td>\n",
-       "      <td id=\"T_ba7ca_row35_col1\" class=\"data row35 col1\" >2753</td>\n",
-       "      <td id=\"T_ba7ca_row35_col2\" class=\"data row35 col2\" >tmwilliamlin</td>\n",
-       "      <td id=\"T_ba7ca_row35_col3\" class=\"data row35 col3\" >2838</td>\n",
+       "      <th id=\"T_b724f_level0_row35\" class=\"row_heading level0 row35\" >35</th>\n",
+       "      <td id=\"T_b724f_row35_col0\" class=\"data row35 col0\" >waterfalls</td>\n",
+       "      <td id=\"T_b724f_row35_col1\" class=\"data row35 col1\" >2753</td>\n",
+       "      <td id=\"T_b724f_row35_col2\" class=\"data row35 col2\" >um_nik</td>\n",
+       "      <td id=\"T_b724f_row35_col3\" class=\"data row35 col3\" >3058</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row36\" class=\"row_heading level0 row36\" >36</th>\n",
-       "      <td id=\"T_ba7ca_row36_col0\" class=\"data row36 col0\" >bigbag</td>\n",
-       "      <td id=\"T_ba7ca_row36_col1\" class=\"data row36 col1\" >2750</td>\n",
-       "      <td id=\"T_ba7ca_row36_col2\" class=\"data row36 col2\" >kotatsugame</td>\n",
-       "      <td id=\"T_ba7ca_row36_col3\" class=\"data row36 col3\" >2838</td>\n",
+       "      <th id=\"T_b724f_level0_row36\" class=\"row_heading level0 row36\" >36</th>\n",
+       "      <td id=\"T_b724f_row36_col0\" class=\"data row36 col0\" >bigbag</td>\n",
+       "      <td id=\"T_b724f_row36_col1\" class=\"data row36 col1\" >2750</td>\n",
+       "      <td id=\"T_b724f_row36_col2\" class=\"data row36 col2\" >grumpy_gordon</td>\n",
+       "      <td id=\"T_b724f_row36_col3\" class=\"data row36 col3\" >3055</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row37\" class=\"row_heading level0 row37\" >37</th>\n",
-       "      <td id=\"T_ba7ca_row37_col0\" class=\"data row37 col0\" >he_____he</td>\n",
-       "      <td id=\"T_ba7ca_row37_col1\" class=\"data row37 col1\" >2748</td>\n",
-       "      <td id=\"T_ba7ca_row37_col2\" class=\"data row37 col2\" >jeroenodb</td>\n",
-       "      <td id=\"T_ba7ca_row37_col3\" class=\"data row37 col3\" >2836</td>\n",
+       "      <th id=\"T_b724f_level0_row37\" class=\"row_heading level0 row37\" >37</th>\n",
+       "      <td id=\"T_b724f_row37_col0\" class=\"data row37 col0\" >he_____he</td>\n",
+       "      <td id=\"T_b724f_row37_col1\" class=\"data row37 col1\" >2748</td>\n",
+       "      <td id=\"T_b724f_row37_col2\" class=\"data row37 col2\" >risujiroh</td>\n",
+       "      <td id=\"T_b724f_row37_col3\" class=\"data row37 col3\" >3050</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row38\" class=\"row_heading level0 row38\" >38</th>\n",
-       "      <td id=\"T_ba7ca_row38_col0\" class=\"data row38 col0\" >fjzzq2002</td>\n",
-       "      <td id=\"T_ba7ca_row38_col1\" class=\"data row38 col1\" >2748</td>\n",
-       "      <td id=\"T_ba7ca_row38_col2\" class=\"data row38 col2\" >bigbag</td>\n",
-       "      <td id=\"T_ba7ca_row38_col3\" class=\"data row38 col3\" >2836</td>\n",
+       "      <th id=\"T_b724f_level0_row38\" class=\"row_heading level0 row38\" >38</th>\n",
+       "      <td id=\"T_b724f_row38_col0\" class=\"data row38 col0\" >fjzzq2002</td>\n",
+       "      <td id=\"T_b724f_row38_col1\" class=\"data row38 col1\" >2748</td>\n",
+       "      <td id=\"T_b724f_row38_col2\" class=\"data row38 col2\" >rns5</td>\n",
+       "      <td id=\"T_b724f_row38_col3\" class=\"data row38 col3\" >3055</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row39\" class=\"row_heading level0 row39\" >39</th>\n",
-       "      <td id=\"T_ba7ca_row39_col0\" class=\"data row39 col0\" >endagorion</td>\n",
-       "      <td id=\"T_ba7ca_row39_col1\" class=\"data row39 col1\" >2746</td>\n",
-       "      <td id=\"T_ba7ca_row39_col2\" class=\"data row39 col2\" >grumpy_gordon</td>\n",
-       "      <td id=\"T_ba7ca_row39_col3\" class=\"data row39 col3\" >2835</td>\n",
+       "      <th id=\"T_b724f_level0_row39\" class=\"row_heading level0 row39\" >39</th>\n",
+       "      <td id=\"T_b724f_row39_col0\" class=\"data row39 col0\" >endagorion</td>\n",
+       "      <td id=\"T_b724f_row39_col1\" class=\"data row39 col1\" >2746</td>\n",
+       "      <td id=\"T_b724f_row39_col2\" class=\"data row39 col2\" >zhouyuyang</td>\n",
+       "      <td id=\"T_b724f_row39_col3\" class=\"data row39 col3\" >3045</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row40\" class=\"row_heading level0 row40\" >40</th>\n",
-       "      <td id=\"T_ba7ca_row40_col0\" class=\"data row40 col0\" >geothermal</td>\n",
-       "      <td id=\"T_ba7ca_row40_col1\" class=\"data row40 col1\" >2741</td>\n",
-       "      <td id=\"T_ba7ca_row40_col2\" class=\"data row40 col2\" >kal013</td>\n",
-       "      <td id=\"T_ba7ca_row40_col3\" class=\"data row40 col3\" >2832</td>\n",
+       "      <th id=\"T_b724f_level0_row40\" class=\"row_heading level0 row40\" >40</th>\n",
+       "      <td id=\"T_b724f_row40_col0\" class=\"data row40 col0\" >geothermal</td>\n",
+       "      <td id=\"T_b724f_row40_col1\" class=\"data row40 col1\" >2741</td>\n",
+       "      <td id=\"T_b724f_row40_col2\" class=\"data row40 col2\" >kotatsugame</td>\n",
+       "      <td id=\"T_b724f_row40_col3\" class=\"data row40 col3\" >3048</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row41\" class=\"row_heading level0 row41\" >41</th>\n",
-       "      <td id=\"T_ba7ca_row41_col0\" class=\"data row41 col0\" >kal013</td>\n",
-       "      <td id=\"T_ba7ca_row41_col1\" class=\"data row41 col1\" >2726</td>\n",
-       "      <td id=\"T_ba7ca_row41_col2\" class=\"data row41 col2\" >um_nik</td>\n",
-       "      <td id=\"T_ba7ca_row41_col3\" class=\"data row41 col3\" >2830</td>\n",
+       "      <th id=\"T_b724f_level0_row41\" class=\"row_heading level0 row41\" >41</th>\n",
+       "      <td id=\"T_b724f_row41_col0\" class=\"data row41 col0\" >kal013</td>\n",
+       "      <td id=\"T_b724f_row41_col1\" class=\"data row41 col1\" >2726</td>\n",
+       "      <td id=\"T_b724f_row41_col2\" class=\"data row41 col2\" >bigbag</td>\n",
+       "      <td id=\"T_b724f_row41_col3\" class=\"data row41 col3\" >3046</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row42\" class=\"row_heading level0 row42\" >42</th>\n",
-       "      <td id=\"T_ba7ca_row42_col0\" class=\"data row42 col0\" >algmyr</td>\n",
-       "      <td id=\"T_ba7ca_row42_col1\" class=\"data row42 col1\" >2725</td>\n",
-       "      <td id=\"T_ba7ca_row42_col2\" class=\"data row42 col2\" >skyfire</td>\n",
-       "      <td id=\"T_ba7ca_row42_col3\" class=\"data row42 col3\" >2830</td>\n",
+       "      <th id=\"T_b724f_level0_row42\" class=\"row_heading level0 row42\" >42</th>\n",
+       "      <td id=\"T_b724f_row42_col0\" class=\"data row42 col0\" >algmyr</td>\n",
+       "      <td id=\"T_b724f_row42_col1\" class=\"data row42 col1\" >2725</td>\n",
+       "      <td id=\"T_b724f_row42_col2\" class=\"data row42 col2\" >wrong_answer_1</td>\n",
+       "      <td id=\"T_b724f_row42_col3\" class=\"data row42 col3\" >3037</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row43\" class=\"row_heading level0 row43\" >43</th>\n",
-       "      <td id=\"T_ba7ca_row43_col0\" class=\"data row43 col0\" >alex_2oo8</td>\n",
-       "      <td id=\"T_ba7ca_row43_col1\" class=\"data row43 col1\" >2724</td>\n",
-       "      <td id=\"T_ba7ca_row43_col2\" class=\"data row43 col2\" >hitonanode</td>\n",
-       "      <td id=\"T_ba7ca_row43_col3\" class=\"data row43 col3\" >2828</td>\n",
+       "      <th id=\"T_b724f_level0_row43\" class=\"row_heading level0 row43\" >43</th>\n",
+       "      <td id=\"T_b724f_row43_col0\" class=\"data row43 col0\" >alex_2oo8</td>\n",
+       "      <td id=\"T_b724f_row43_col1\" class=\"data row43 col1\" >2724</td>\n",
+       "      <td id=\"T_b724f_row43_col2\" class=\"data row43 col2\" >zhouyuchen</td>\n",
+       "      <td id=\"T_b724f_row43_col3\" class=\"data row43 col3\" >3035</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row44\" class=\"row_heading level0 row44\" >44</th>\n",
-       "      <td id=\"T_ba7ca_row44_col0\" class=\"data row44 col0\" >iafir</td>\n",
-       "      <td id=\"T_ba7ca_row44_col1\" class=\"data row44 col1\" >2722</td>\n",
-       "      <td id=\"T_ba7ca_row44_col2\" class=\"data row44 col2\" >potato167</td>\n",
-       "      <td id=\"T_ba7ca_row44_col3\" class=\"data row44 col3\" >2824</td>\n",
+       "      <th id=\"T_b724f_level0_row44\" class=\"row_heading level0 row44\" >44</th>\n",
+       "      <td id=\"T_b724f_row44_col0\" class=\"data row44 col0\" >iafir</td>\n",
+       "      <td id=\"T_b724f_row44_col1\" class=\"data row44 col1\" >2722</td>\n",
+       "      <td id=\"T_b724f_row44_col2\" class=\"data row44 col2\" >krismaz</td>\n",
+       "      <td id=\"T_b724f_row44_col3\" class=\"data row44 col3\" >3032</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row45\" class=\"row_heading level0 row45\" >45</th>\n",
-       "      <td id=\"T_ba7ca_row45_col0\" class=\"data row45 col0\" >ccz181078</td>\n",
-       "      <td id=\"T_ba7ca_row45_col1\" class=\"data row45 col1\" >2722</td>\n",
-       "      <td id=\"T_ba7ca_row45_col2\" class=\"data row45 col2\" >tmyklebu</td>\n",
-       "      <td id=\"T_ba7ca_row45_col3\" class=\"data row45 col3\" >2824</td>\n",
+       "      <th id=\"T_b724f_level0_row45\" class=\"row_heading level0 row45\" >45</th>\n",
+       "      <td id=\"T_b724f_row45_col0\" class=\"data row45 col0\" >ccz181078</td>\n",
+       "      <td id=\"T_b724f_row45_col1\" class=\"data row45 col1\" >2722</td>\n",
+       "      <td id=\"T_b724f_row45_col2\" class=\"data row45 col2\" >isaf27</td>\n",
+       "      <td id=\"T_b724f_row45_col3\" class=\"data row45 col3\" >3029</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row46\" class=\"row_heading level0 row46\" >46</th>\n",
-       "      <td id=\"T_ba7ca_row46_col0\" class=\"data row46 col0\" >stonefeang</td>\n",
-       "      <td id=\"T_ba7ca_row46_col1\" class=\"data row46 col1\" >2721</td>\n",
-       "      <td id=\"T_ba7ca_row46_col2\" class=\"data row46 col2\" >endagorion</td>\n",
-       "      <td id=\"T_ba7ca_row46_col3\" class=\"data row46 col3\" >2819</td>\n",
+       "      <th id=\"T_b724f_level0_row46\" class=\"row_heading level0 row46\" >46</th>\n",
+       "      <td id=\"T_b724f_row46_col0\" class=\"data row46 col0\" >stonefeang</td>\n",
+       "      <td id=\"T_b724f_row46_col1\" class=\"data row46 col1\" >2721</td>\n",
+       "      <td id=\"T_b724f_row46_col2\" class=\"data row46 col2\" >ssrs</td>\n",
+       "      <td id=\"T_b724f_row46_col3\" class=\"data row46 col3\" >3028</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row47\" class=\"row_heading level0 row47\" >47</th>\n",
-       "      <td id=\"T_ba7ca_row47_col0\" class=\"data row47 col0\" >Fdg</td>\n",
-       "      <td id=\"T_ba7ca_row47_col1\" class=\"data row47 col1\" >2718</td>\n",
-       "      <td id=\"T_ba7ca_row47_col2\" class=\"data row47 col2\" >wrong_answer_1</td>\n",
-       "      <td id=\"T_ba7ca_row47_col3\" class=\"data row47 col3\" >2819</td>\n",
+       "      <th id=\"T_b724f_level0_row47\" class=\"row_heading level0 row47\" >47</th>\n",
+       "      <td id=\"T_b724f_row47_col0\" class=\"data row47 col0\" >Fdg</td>\n",
+       "      <td id=\"T_b724f_row47_col1\" class=\"data row47 col1\" >2718</td>\n",
+       "      <td id=\"T_b724f_row47_col2\" class=\"data row47 col2\" >oilhun</td>\n",
+       "      <td id=\"T_b724f_row47_col3\" class=\"data row47 col3\" >3055</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row48\" class=\"row_heading level0 row48\" >48</th>\n",
-       "      <td id=\"T_ba7ca_row48_col0\" class=\"data row48 col0\" >isaf27</td>\n",
-       "      <td id=\"T_ba7ca_row48_col1\" class=\"data row48 col1\" >2718</td>\n",
-       "      <td id=\"T_ba7ca_row48_col2\" class=\"data row48 col2\" >alex_2oo8</td>\n",
-       "      <td id=\"T_ba7ca_row48_col3\" class=\"data row48 col3\" >2814</td>\n",
+       "      <th id=\"T_b724f_level0_row48\" class=\"row_heading level0 row48\" >48</th>\n",
+       "      <td id=\"T_b724f_row48_col0\" class=\"data row48 col0\" >isaf27</td>\n",
+       "      <td id=\"T_b724f_row48_col1\" class=\"data row48 col1\" >2718</td>\n",
+       "      <td id=\"T_b724f_row48_col2\" class=\"data row48 col2\" >gorre_morre</td>\n",
+       "      <td id=\"T_b724f_row48_col3\" class=\"data row48 col3\" >3019</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ba7ca_level0_row49\" class=\"row_heading level0 row49\" >49</th>\n",
-       "      <td id=\"T_ba7ca_row49_col0\" class=\"data row49 col0\" >aawisong</td>\n",
-       "      <td id=\"T_ba7ca_row49_col1\" class=\"data row49 col1\" >2712</td>\n",
-       "      <td id=\"T_ba7ca_row49_col2\" class=\"data row49 col2\" >he_____he</td>\n",
-       "      <td id=\"T_ba7ca_row49_col3\" class=\"data row49 col3\" >2813</td>\n",
+       "      <th id=\"T_b724f_level0_row49\" class=\"row_heading level0 row49\" >49</th>\n",
+       "      <td id=\"T_b724f_row49_col0\" class=\"data row49 col0\" >aawisong</td>\n",
+       "      <td id=\"T_b724f_row49_col1\" class=\"data row49 col1\" >2712</td>\n",
+       "      <td id=\"T_b724f_row49_col2\" class=\"data row49 col2\" >endagorion</td>\n",
+       "      <td id=\"T_b724f_row49_col3\" class=\"data row49 col3\" >3008</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x7f609a3c9610>"
+       "<pandas.io.formats.style.Styler at 0x7f60bb262850>"
       ]
      },
      "metadata": {},
@@ -769,7 +780,7 @@
     "print(overlap)\n",
     "print('Size of overlap:', len(overlap), '\\n')\n",
     "\n",
-    "print('Unique EloMMR players:', set(mmr_top50.username) - overlap)\n",
+    "print('Unique Elo-MMR players:', set(mmr_top50.username) - overlap)\n",
     "print('Unique CodeChef players:', set(cc_top50.username) - overlap)\n",
     "\n",
     "# We need to rename some columns now so that when we merge them, column names are unique\n",
@@ -793,7 +804,7 @@
    "id": "0099bdae-7290-454f-8a7f-e6ef6f8478b2",
    "metadata": {},
    "source": [
-    "# Relationship between CodeChef and EloMMR ratings"
+    "# Relationship between CodeChef and Elo-MMR ratings"
    ]
   },
   {
@@ -801,22 +812,22 @@
    "id": "ce44ecc9-7c3c-478d-93e0-483ce2431d0b",
    "metadata": {},
    "source": [
-    "Next, let's look at the relationship between CodeChef and EloMMR ratings for the players. We'll sample 20000 random players from the player base and plot their ratings in the two systems."
+    "Next, let's look at the relationship between CodeChef and Elo-MMR ratings for the players. We'll sample 20000 random players from the player base and plot their ratings in the two systems."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 532,
+   "execution_count": 728,
    "id": "6f030b3f-1d57-49a2-adb1-66380d47e245",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f60a05ebed0>]"
+       "[<matplotlib.lines.Line2D at 0x7f608a4e90d0>]"
       ]
      },
-     "execution_count": 532,
+     "execution_count": 728,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -831,7 +842,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -849,7 +860,7 @@
     "num_samples = 20000\n",
     "samples = codechef_rank.sample(num_samples, axis=0)\n",
     "cc_random = codechef_rank[codechef_rank['username'].isin(samples.username)]\n",
-    "mmr_random = mmr_rank[mmr_rank['handle'].isin(samples.username)][['display_rating', 'handle']]\n",
+    "mmr_random = mmr_rank[mmr_rank['handle'].isin(samples.username)][['cur_mu', 'handle']]\n",
     "mmr_random.rename(inplace=True, columns={'cur_mu': 'ratings', 'handle': 'username'})\n",
     "\n",
     "union = set(cc_random.username) | set(mmr_random.username)\n",
@@ -864,9 +875,9 @@
     "plt.figure()\n",
     "fig, ax = plt.subplots() \n",
     "plt.scatter(x_cc, y_mmr)\n",
-    "plt.title('CodeChef ratings vs. EloMMR Ratings')\n",
+    "plt.title('CodeChef ratings vs. Elo-MMR Ratings')\n",
     "plt.xlabel('CodeChef rating')\n",
-    "plt.ylabel('EloMMR rating')\n",
+    "plt.ylabel('Elo-MMR rating')\n",
     "\n",
     "# These trendlines are made by eyeballing the data.\n",
     "X = sorted(x_cc)\n",
@@ -881,7 +892,7 @@
    "id": "abbbc842-3cd4-4349-983c-bb67524c61e2",
    "metadata": {},
    "source": [
-    "The trend is not perfectly linear, as we saw earlier that the distributions of EloMMR and CodeChef ratings are vastly different in shape. It seems that the difference between the two is larger towards the lower range of CodeChef ratings (below 2200)."
+    "The trend is not perfectly linear, as we saw earlier that the distributions of Elo-MMR and CodeChef ratings are vastly different in shape. It seems that the difference between the two is larger towards the lower range of CodeChef ratings (below 2200)."
    ]
   },
   {
@@ -889,7 +900,7 @@
    "id": "c4a55c45-cf97-4703-ba85-562a1b4d0375",
    "metadata": {},
    "source": [
-    "# Transitioning CodeChef to EloMMR"
+    "# Transitioning CodeChef to Elo-MMR"
    ]
   },
   {
@@ -897,14 +908,14 @@
    "id": "96325654-58f7-4f8f-992b-d06ad9de6d8e",
    "metadata": {},
    "source": [
-    "The transition from CodeChef's current rating system to EloMMR is tricky, as the two rating systems produce different distributions and different scales. The different scales can easily be corrected, as one can scale EloMMR ratings to cover the same range of values as CodeChef. The shape of the two distributions present issues however. Due to the high density of ratings near 1500 for CodeChef's ratings, it's likely that EloMMR will greatly increase the average rating of participants just above 1500, and greatly decrease the average rating of participants just below 1500. This would lead to many participants being unhappy with the new rating system, as their ratings would rapidly decrease.\n",
+    "The transition from CodeChef's current rating system to Elo-MMR is tricky, as the two rating systems produce different distributions and different scales. The different scales can easily be corrected, as one can scale Elo-MMR ratings to cover the same range of values as CodeChef. The shape of the two distributions present issues however. Due to the high density of ratings near 1500 for CodeChef's ratings, it's likely that Elo-MMR will greatly increase the average rating of participants just above 1500, and greatly decrease the average rating of participants just below 1500. This would lead to many participants being unhappy with the new rating system, as their ratings would rapidly decrease.\n",
     "\n",
-    "Our proposed solution is to shift the ratings of EloMMR so that at least 80% of users expect a rating increase after the rating system change. Below we compute this shift."
+    "Our proposed solution is to shift the ratings of Elo-MMR so that at least 80% of users expect a rating increase after the rating system change. Below we compute this shift."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 572,
+   "execution_count": 729,
    "id": "b1507c93-96e9-4144-b619-eb76f64216df",
    "metadata": {},
    "outputs": [
@@ -912,7 +923,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Rating shift (95%) is 302.01416015625\n"
+      "Rating shift (95%) is 513.97705078125\n"
      ]
     }
    ],
@@ -950,23 +961,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 573,
+   "execution_count": 730,
    "id": "985500d2-ff89-4d94-b31f-83e628aa9a8a",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f60b9329cd0>]"
+       "[<matplotlib.lines.Line2D at 0x7f609877e1d0>]"
       ]
      },
-     "execution_count": 573,
+     "execution_count": 730,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -993,23 +1004,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 575,
+   "execution_count": 731,
    "id": "851ab3ef-0dc4-465b-937a-27caa3f61d7b",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f60ab0e2950>]"
+       "[<matplotlib.lines.Line2D at 0x7f6098690510>]"
       ]
      },
-     "execution_count": 575,
+     "execution_count": 731,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -1031,7 +1042,7 @@
    "id": "48544822-791a-42a0-a136-09f7a7bdeb39",
    "metadata": {},
    "source": [
-    "As we can see, higher values of rating shift are mostly required for less experienced users. We can also see this in the \"CodeChef Ratings vs. EloMMR Ratings\" plot that we generated earlier, as the spread between the ratings was largest for lower rated players (lower rated players are correlated with fewer contests)."
+    "As we can see, higher values of rating shift are mostly required for less experienced users. We can also see this in the \"CodeChef Ratings vs. Elo-MMR Ratings\" plot that we generated earlier, as the spread between the ratings was largest for lower rated players (lower rated players are correlated with fewer contests)."
    ]
   },
   {
@@ -1039,7 +1050,7 @@
    "id": "f63198b1-fa65-4e08-98e8-a54d874358fe",
    "metadata": {},
    "source": [
-    "# Initializing EloMMR with CodeChef ratings"
+    "# Initializing Elo-MMR with CodeChef ratings"
    ]
   },
   {
@@ -1047,7 +1058,7 @@
    "id": "c5de9f16-2703-4dcb-a596-9d6043f75cb2",
    "metadata": {},
    "source": [
-    "In this section, we initialize EloMMR with CodeChef ratings from a year ago and answer questions such as:\n",
+    "In this section, we initialize Elo-MMR with CodeChef ratings from a year ago and answer questions such as:\n",
     "- How fast will the rating distribution change?\n",
     "- What will the rating distribution converge to?\n",
     "- How will the top-ranked players change?"
@@ -1055,7 +1066,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 639,
+   "execution_count": 732,
    "id": "62356367-8dbf-4cea-a5dd-99ea1f6d1dc4",
    "metadata": {},
    "outputs": [
@@ -1090,7 +1101,6 @@
        "      <th>handle</th>\n",
        "      <th>cur_mu</th>\n",
        "      <th>num_contests</th>\n",
-       "      <th>cur_sigma</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
@@ -1099,98 +1109,87 @@
        "      <td>16</td>\n",
        "      <td>1468</td>\n",
        "      <td>1</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td>17</td>\n",
        "      <td>1538</td>\n",
        "      <td>9</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td>21</td>\n",
        "      <td>1552</td>\n",
        "      <td>1</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
        "      <td>22</td>\n",
        "      <td>1403</td>\n",
        "      <td>4</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
        "      <td>42</td>\n",
        "      <td>1346</td>\n",
        "      <td>3</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>...</th>\n",
        "      <td>...</td>\n",
        "      <td>...</td>\n",
        "      <td>...</td>\n",
-       "      <td>...</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>50491</th>\n",
        "      <td>661890</td>\n",
        "      <td>1396</td>\n",
        "      <td>1</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>50492</th>\n",
        "      <td>661898</td>\n",
        "      <td>1504</td>\n",
        "      <td>1</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>50493</th>\n",
        "      <td>661934</td>\n",
        "      <td>1504</td>\n",
        "      <td>1</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>50494</th>\n",
        "      <td>661946</td>\n",
        "      <td>1504</td>\n",
        "      <td>1</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>50495</th>\n",
        "      <td>662149</td>\n",
        "      <td>1504</td>\n",
        "      <td>1</td>\n",
-       "      <td>350.0</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
-       "<p>50496 rows × 4 columns</p>\n",
+       "<p>50496 rows × 3 columns</p>\n",
        "</div>"
       ],
       "text/plain": [
-       "       handle  cur_mu  num_contests  cur_sigma\n",
-       "0          16    1468             1      350.0\n",
-       "1          17    1538             9      350.0\n",
-       "2          21    1552             1      350.0\n",
-       "3          22    1403             4      350.0\n",
-       "4          42    1346             3      350.0\n",
-       "...       ...     ...           ...        ...\n",
-       "50491  661890    1396             1      350.0\n",
-       "50492  661898    1504             1      350.0\n",
-       "50493  661934    1504             1      350.0\n",
-       "50494  661946    1504             1      350.0\n",
-       "50495  662149    1504             1      350.0\n",
+       "       handle  cur_mu  num_contests\n",
+       "0          16    1468             1\n",
+       "1          17    1538             9\n",
+       "2          21    1552             1\n",
+       "3          22    1403             4\n",
+       "4          42    1346             3\n",
+       "...       ...     ...           ...\n",
+       "50491  661890    1396             1\n",
+       "50492  661898    1504             1\n",
+       "50493  661934    1504             1\n",
+       "50494  661946    1504             1\n",
+       "50495  662149    1504             1\n",
        "\n",
-       "[50496 rows x 4 columns]"
+       "[50496 rows x 3 columns]"
       ]
      },
      "metadata": {},
@@ -1218,12 +1217,13 @@
     "\n",
     "contest = id_to_name[sid]\n",
     "codechef_rank = pd.read_csv(f'{codechef_dir}/{contest}.csv')\n",
+    "\n",
     "num_contest_csv = pd.read_csv(f'{elommr_dir}/{contest}_numcontests.csv')\n",
     "\n",
     "merged = pd.merge(codechef_rank, num_contest_csv)\n",
     "merged = merged.drop(merged.columns[2], axis=1)\n",
     "merged['username'] = merged['username'].apply(lambda x: userid_map[x])\n",
-    "merged['cur_sigma'] = 350.\n",
+    "# merged['cur_sigma'] = 350.\n",
     "merged = merged.rename(columns={'username': 'handle', 'ratings': 'cur_mu'})\n",
     "display(merged)\n",
     "\n",
@@ -1231,10 +1231,387 @@
     "merged.to_csv(f'/home/work_space/elommr-data/cc_init_condition-{contest}-{sid}.csv', index=False)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "2de4e44f-44d6-420a-acd0-f891b1b4b5d7",
+   "metadata": {},
+   "source": [
+    "Now that we've created the initial conditions for Elo-MMR to start from, we can run our system to see how the rating changes when we transition. We've run this computation offline. The code below reads in and analyzes the results."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 737,
+   "id": "ecb07a18-fb2b-430a-8235-043bdd8c40eb",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f365e080dcf84bd3af0e8c088d1c452e",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "  0%|          | 0/11 [00:00<?, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "JUNE21C -631 1447 2.0 35.61611856752115\n",
+      "JULY21C -588 699 -6.0 -1.8894814024796693\n",
+      "AUG21C -582 806 -1.0 -2.010197324857635\n",
+      "CDMN21C -931 618 2.0 -4.592811487610542\n",
+      "OCT21C -599 747 2.0 1.9567309021537782\n",
+      "CSNS21B -680 701 5.0 0.009160380131282453\n",
+      "DEC21C -664 738 4.0 5.159488422343563\n",
+      "START21B -589 701 3.0 -1.3638577486669186\n",
+      "START24B -618 678 6.0 5.887930557859236\n",
+      "LTIME105A -596 936 -3.0 -7.8580527248560035\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/opt/conda/lib/python3.7/site-packages/ipykernel_launcher.py:21: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "COOK140A -632 1083 -10.0 -5.870676267118452\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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IGrdngTVmdoaZ5QDXA/dN2+Y+4Aa/d+llQK9zrnWefX8MvBHAzNbiJXnHEngdIiIiIkkhYTVuzrkJM7sFeBAIA3c553aZ2c3++juAB4BrgAZgCPjgXPv6h74LuMvMXgLGgBv92jcRERGRtJbIplKccw/gJWfRy+6Ieu6Aj8S6r798DHhffCMVERERSX6aOUFEREQkRShxExEREUkRStxEREREUoQSNxEREZEUocRNREREJEUocRMRERFJEUrcRERERFKEEjcRERGRFKHETURERCRFKHETERERSRFK3ERERERShBI3ERERkRShxE1EksqWrY1s2doYdBgiIklJiZuIiIhIilDiJiIiIpIilLiJiIiIpAglbiIiIiIpQombiIiISIpQ4iYiIiKSIpS4iYiIiKQIJW4iIiIiKUKJm4iIiEiKUOImIiIikiKUuImIiIikCCVuIiIiIilCiZuIiIhIilDiJiJJbcvWRrZsbQw6DBGRpKDETURERCRFKHETERERSRFK3EQkKag5VERkfkrcRERERFKEEjcRERGRFKHETURERCRFKHETkZSke+JEJBMpcRMRERFJEUrcRERERFKEEjcRERGRFKHETURERCRFKHETERERSRFK3ERERERShBI3ERERkRShxE1EFt2WrY0ah01E5BQocRMRERFJEQlN3MzsKjPbZ2YNZnbrDOvNzL7kr3/RzC6cb18z+5SZHTGz7f7jmkReg4iIiEiySFjiZmZh4MvA1cAG4D1mtmHaZlcDa/zHTcDtMe77BefcJv/xQKKuQURERCSZJLLG7RKgwTl3wDk3BtwLXDdtm+uAu53naaDMzGpi3FdEREQkoyQycVsBNEW9bvaXxbLNfPve4jet3mVm5TOd3MxuMrNtZrato6PjVK9BREREJGkkMnGzGZa5GLeZa9/bgdXAJqAV+PxMJ3fO3emc2+yc21xVVRVTwCIiIiLJLCuBx24G6qJe1wItMW6TM9u+zrn2qYVm9lXgp/ELWURERCR5JbLG7VlgjZmdYWY5wPXAfdO2uQ+4we9dehnQ65xrnWtf/x64Ke8GXkrgNYhIkoge901jwIlIpkpYjZtzbsLMbgEeBMLAXc65XWZ2s7/+DuAB4BqgARgCPjjXvv6hP2dmm/CaTg8Bf5yoaxARERFJJolsKsUfquOBacvuiHrugI/Euq+//P1xDlNEkohzjuGxSfa29TE2EcE5h9lMt72KiGSehCZuIiIL0Ts0zpcfbaClZ+T4v21rlxXxrk0rKCvIUROpiGQ8TXklIklhYjLCTfdso713lLduWMaX33shn7xmPQePDfLFR/bzYnNP0CGKiARONW4iErhIxPH955t5sbmX391cx6a6Mt5+ntcPaXQiwve2NfE/zzWzpCiX5WX5AUcrIhIc1biJSOC2PNPIi829/NXb1rGpruyEdRWFObz/slUU5oS599kmxiYiwQQpIpIElLiJSKAmJiPc8dgr1JXn8+ErV8+4TWFuFr+zuY7OgVHu3zF9OEgRkcyhxE1EAvWzna00dw9z5bqlfOeZplm3W11VxBXrqniusZv97f2LGKGISPJQ4iYigXHOcfujr7BmaRHrqovn3f6NZy+lODeLX79ybBGiExFJPkrcRCQwj+7rYG9bPzdfsZpQDGO1ZYVCXHJGBS+3D3Csf3QRIhQRSS5K3EQkMLc/9grLS/O4dtPymPe55IwKwmY8dbAzgZGJiCQnJW4iEoiuwTGeOdjFDb9RT3Y49o+i4rxszq0t5fnD3fSPjCcwQhGR5KPETUQC8dKRXgDefm7Ngve9/MxKRici/OC55niHJSKS1JS4iUggdrX0cl5tKXUVBQvet66igNryfLY8oymwRCSzKHETkUXXMzRGU/cwV22sPuVjnF9bxsvtAxw8NhjHyEREkpsSNxFZdLta+gC4euPCm0mnrK8pAeCRPe0AmoBeRDKCEjcRWVRbtjbyUksvNaV5nLGk8JSPU1GYw9nVxTy0uz2O0YmIJDclbiKyqPqGx2nsHOKc5aWnfay3bFjGtkNddA+OxSEyEZHkp8RNRBbV7tY+HLBxeclpH+vN65cRcfDLfUdPPzARkRSgxE1EFtWBjgHKCrJZWpJ32velnbuilKXFufxij5pLRSQzKHETkUXjnKOxa4hVpzAEyExCIePNG5bx2L4OJiYjcTmmiEgyU+ImIoumuXuYvpEJVlWeeqeE6d6yfhmDY5Mc0LAgIpIBlLiJyKJ5vrEbgJVxqnEDuHx1JTlZIRqODsTtmCIiyUqJm4gsmm2HusnJClFdmhe3Y+Zlh9m8qpxXOpS4iUj6U+ImIovmucPdrCwvIGQW1+O+5qwltPaO0DkwGtfjiogkGyVuIrIoRscn2dvWx8rK+DWTTukfmQDgqQOdcT+2iEgyyQo6ABHJDE3dw0QccetRCq9Oc7WiLJ/crBBPvtLJO85bHrfji4gkG9W4iciiONw5iBnUxTFxmxIOGWcsKeTJhmNxP7aISDJRjZuILIrGriHWLSsmLzt8wvJ4TQ6/uqqIn+1s5UjPMCvK8uNyTBGRZKMaNxFJuIg/8O7m+vKEnWN1VREAv1atm4ikMSVuIpJw3YNjjE5EOG9FWcLOsawkl8rCHJ56RR0URCR9KXETkYRr7/OG6VizrChh5zAzlpfl84s97TjnEnYeEZEgKXETkYQ72j8CwFlLE5e4AZxZVUj/yASHO4cSeh4RkaAocRORhDvaP0ppfjbFedkJPU+9PwfqM4e6EnoeEZGgKHETkYQ72j/C0uLchJ+nqjiX/Oww25S4iUiaUuImIgkViTg6+kcXJXELmVFfWcAje44m/FwiIkFQ4iYiCXWkZ5jxScfS4vhNLD+X+iWFdA6OHb+vTkQknShxE5GE2n+0H4ClJYmvcYNX73Pbdqh7Uc4nIrKYlLiJSELtbx8AWLQat+Vl+WSHjWcOeve5xWtmBhGRZKDETUQSav/RAYrzssjPCc+/cRyEQ0ZdRQHPqoOCiKQhJW4iklD7jw4sSseEaPWVhexu6eOuJw4u6nlFRBJNiZuIJIxzjob2/kVrJp1SX1mIw5vYXkQknShxE5GEae0dYXBsctE6JkxZWVFAyOBQ5+CinldEJNGUuIlIwuw/urgdE6bkZIWoLsmjuWt4Uc8rIpJoCU3czOwqM9tnZg1mdusM683MvuSvf9HMLlzAvn9pZs7MliTyGkTk1O1v94cCWeR73ABqKwpo6h4iognnRSSNJCxxM7Mw8GXgamAD8B4z2zBts6uBNf7jJuD2WPY1szrgLYD6+YsksVc6BqgozKEwN2vRz11XXsDoRIRj/aOLfm4RkURJZI3bJUCDc+6Ac24MuBe4bto21wF3O8/TQJmZ1cSw7xeAvwb0r7RIEjvcOcSqyoJAzl1Xng9AU7eaS0UkfSQycVsBNEW9bvaXxbLNrPua2bXAEefcjngHLCLx1dQ9xMqKYBK3JcW55GWHaOpWz1IRSR+JTNxshmXTa8hm22bG5WZWAHwS+Nt5T252k5ltM7NtHR0d8wYrIvE1PhnhSPdwYIlbyIzasgKa/SFBtmxt1CwKIpLyEpm4NQN1Ua9rgZYYt5lt+WrgDGCHmR3ylz9vZtXTT+6cu9M5t9k5t7mqquo0L0VEFqq1Z4SI8+41C0ptRT5tfSMMj00GFoOISDwlMnF7FlhjZmeYWQ5wPXDftG3uA27we5deBvQ651pn29c5t9M5t9Q5V++cq8dL8C50zrUl8DpE5BRMDX5bF1XjtpAar3jUjtWVFxBxsPNI72kfS0QkGSSsq5dzbsLMbgEeBMLAXc65XWZ2s7/+DuAB4BqgARgCPjjXvomKVUTibypxW1lZwMFjwQyEO5U0bm/qpig3O5AYRETiKaF99J1zD+AlZ9HL7oh67oCPxLrvDNvUn36UIpIITd1DhM2oLlncwXejFeVmUV6QzfamHl57lm6ZEJHUp5kTRCQhGruGKCvIJhyaqa/R4qktL2B7Y0+gMYiIxIsSNxFJiKauISoKc4IOg7qKAlp6R+gfGQ86FBGR06bETUTiaqpTQWPXEOVJkLgtL/Oaalt7RwKORETk9ClxE5G46xsZp2donIqCJEjcSr0ZFFp6NIOCiKQ+JW4iEndNfo/SZGgqzcsOs7KiQImbiKQFJW4iEnfJlLgBbFxRQouaSkUkDShxE5G4mxrDrTwJmkoBzlleStfgGCPjmkFBRFKbEjcRibvGriFK87PJzwkHHQoA5ywvAaClV82lIpLalLiJSNw1dQU3ufxMzlleCkBLj5pLRSS1KXETkbhr6hpKqsTt4d3tFOdl0aoOCiKS4pS4iUhcRZyjuXv4hMnlT1U8Jpqfsrw0nyNK3EQkxSlxE5G46hseZ2wyQl1FftChnGB5WR4d/aMMj6mDgoikLiVuIhJXXUNjAEnVVAqwvCwfB+xt6ws6FBGRU6bETUTiqnvQmxM06RI3fwaFXS1K3EQkdSlxE5G46hocw4DHXz4WdCgnKCvIJj87zK6W3qBDERE5ZUrcRCSuuofGKCvIJhyyoEM5gZlRXZrHE/uTK6EUEVkIJW4iElddg2NJM2PCdNUlebT3jRKJuKBDERE5JUrcRCSuugbHTpijNJ5DepyumtI8xiYjx6fkEhFJNUrcRCRuhscmGRidSJrJ5aerLs0D1LNURFKXEjcRiZumbn9y+SRN3JYW52HAntb+oEMRETklStxEJG4aO73ErSJJ73HLyQpRWZSjGjcRSVlK3EQkbqbuHUvWGjfwOijsbVONm4ikJiVuIhI3Td1D5GSFKMwJBx3KrKpL8zncOcTA6ETQoYiILFhMiZuZ/cDM3m5mSvREZFZNXUNUFORgllxjuEWr8Tso7FOtm4ikoFgTsduB9wL7zew2Mzs7gTGJSIpq7BpK2h6lU6pL1LNURFJXTImbc+4Xzrn/A1wIHAIeNrMnzeyDZpadyABFJDU451IicSsryCY3K8Re9SwVkRQUc9OnmVUCHwD+EHgB+CJeIvdwQiITkZTSMTDKyHgkqTsmwKtTX6nGTURSUVYsG5nZD4GzgXuAdzrnWv1V3zWzbYkKTkRSR1PXMAAVBclfCV9dksfulj6cc0l9P56IyHSx1rh9zTm3wTn32amkzcxyAZxzmxMWnYikjKYUGApkSnVpHv2jEzR3DwcdiojIgsSauP3jDMueimcgIpLajo/hlqSD70ar8Tso3Pn4gYAjERFZmDmbSs2sGlgB5JvZBcBUm0IJUJDg2EQkRWzZ2sij+zqoLskjO5z8owYt8xO31t6RgCMREVmY+e5xexteh4Ra4N+ilvcDn0hQTCKSgroGx6iryA86jJjkZoepKMyhrU+Jm4ikljkTN+fct4BvmdlvOed+sEgxiUgK6hoc5eL68qDDiFl1SR5tqnETkRQzX1Pp+5xz/w3Um9mfT1/vnPu3GXYTkQwzNhGhb2SC+iWFQYcSs+rSPPa09jE8Nkl+Ek/RJSISbb6bUaY+hYuA4hkeIiJ0DY4BsKoydW59rS7JwwEvt2sgXhFJHfM1lX7F//npxQlHRFJR5+AoAPWVhbzY3BtwNLGZmrN0b1sf59eVBRuMiEiMYp1k/nNmVmJm2Wb2iJkdM7P3JTo4EUkNnQNejdvKFKpxKy/MISccYo+mvhKRFBJrv/23Ouf6gHcAzcBa4K8SFpWIpJTOwTEKc8KU5CX/rAlTQmYsK8nV1FciklJiTdymPo2vAb7jnOtKUDwikoI6B0epLMoNOowFqy7NZ09rP865oEMREYlJrInb/Wa2F9gMPGJmVYD60YsIAF0DY1SmwFRX01WX5tE7PK7x3EQkZcSUuDnnbgUuBzY758aBQeC6RAYmIqlhZHyS3uFxKopSL3Gbmvpqr+5zE5EUMd/MCdHW443nFr3P3XGOR0RSTHP3EA6oLEzFplIvcdvT1scbzl4acDQiIvOLKXEzs3uA1cB2YNJf7FDiJpLxDh3zJpdPxabSvOwwZQXZqnETkZQRa43bZmCDW+AdvGZ2FfBFIAx8zTl327T15q+/BhgCPuCce36ufc3sH/CaaSPAUX+floXEJSLx88MXjgBQmYJNpeANxLunVT1LRSQ1xNo54SWgeiEHNrMw8GXgamAD8B4z2zBts6uBNf7jJuD2GPb9F+fcec65TcBPgb9dSFwiEl+dA6PkZ4cpyFnInRfJo7o0jwPHBhkZn5x/YxGRgMX6SbsE2G1mzwCjUwudc9fOsc8lQINz7gCAmd2LV1O2O2qb64C7/Zq8p82szMxqgPrZ9vXHk5tSiNdkKyIB6RocoyIFm0mn1JTmMxlxNBwdYOOK0qDDERGZU6yJ26dO4dgrgKao183ApTFss2K+fc3sM8ANQC/whlOITUTipHNwjNry/KDDOGXVUz1L2/qVuIlI0ot1OJDHgENAtv/8WeD5eXazmQ4V4zZz7uuc+6Rzrg74NnDLjCc3u8nMtpnZto6OjnlCFZFTMTYRoXswNcdwm1JZlENuVoi9us9NRFJArHOV/hHwfeAr/qIVwI/n2a0ZqIt6XQtM70Qw2zax7AuwBfitmU7unLvTObfZObe5qqpqnlBF5FQc6RlO2aFApoTMWFddzB5NfSUiKSDWzgkfAV4D9AE45/YD8w169CywxszOMLMc4Hrgvmnb3AfcYJ7LgF7nXOtc+5rZmqj9rwX2xngNIhJnB48NAKnbo3TK+uoSTX0lIikh1nvcRp1zY97oHeAPwjvnJ5xzbsLMbgEexBvS4y7n3C4zu9lffwfwAN5QIA14w4F8cK59/UPfZmbr8IYDOQzcHOvFikh8vdzuJW5Li/MCjuT0nF1TzHe3NdExMJry1yIi6S3WxO0xM/sEkG9mbwE+DNw/307OuQfwkrPoZXdEPXd4tXkx7esvn7FpVEQW3/72AYrzssjPCQOwZWtjwBGdmrOrSwBv6islbiKSzGJtKr0V6AB2An+Ml1D9TaKCEpHU0HC0n2VpkOicXV0MwF7d5yYiSS6mGjfnXMTMfgz82DmnLpoiQiTi2H90gPPryoIO5bSVF+ZQXZJ3fOqrqZrD9166MsiwREROMmeNm99p4FNmdgyvE8A+M+swM81WIJLhWnqHGRqbZGlx6vYojba+ppjdGhJERJLcfE2lf4rXm/Ri51ylc64CbyDc15jZnyU6OBFJXvuPeh0T0qGpFODsmhJe6Rjg7qcOBR2KiMis5kvcbgDe45w7OLXAn4bqff46EclQ+9u9ZsV0qHHbsrWRroExxicdHf2j8+8gIhKQ+RK3bOfcsekL/fvcshMTkoikgv3tAywpyqUgNzUnl5+uptSrOWztHQk4EhGR2c2XuI2d4joRSXP7jw6wdllR0GHEzZLiXPKzw7T0DAcdiojIrOZL3M43s74ZHv3AuYsRoIgkly1bG3HO0XB0gDVL0ydxC5mxvqZYiZuIJLU5EzfnXNg5VzLDo9g5p6ZSkQzV2jvCwOgEZy0rDjqUuNq4opTW3hEimvpKRJJUrAPwiogcN9WjdG0a1bgBbFxeyuhEhK5B3QkiIslJiZuILNhUj9I1aVbjds4Kb+orNZeKSLJKj+5gIpJw0fOQ7m8foLIwh4rCnAAjir81S4sJm9HSM8J5tUFHIyJyMtW4iciCvXy0n7PSrJkU4PvPNbOsNJeWXtW4iUhyUuImIgsScY49rX1sWF4SdCgJsbw0n5aeYZw6KIhIElLiJiIL0tE/ysh4hHNXlAYdSkIsL8tnaGyS3uHxoEMRETmJEjcRWZCpG/c3pnHiBtDSoxkURCT5KHETkQU50jNMXnaI1VXpd48bQHVJHga6z01EkpISNxFZkJaeYTbUlBAOWdChJEROVoiq4lwNCSIiSUmJm4jELOIcLb0jaXt/25QVZfkc6VYHBRFJPkrcRCRmnQNjjE1EOCfdE7fyfPpHJ2jvGw06FBGREyhxE5GYHfGbD9O9xq22vACAHc09wQYiIjKNEjcRiVlLzzBZIUvLwXej1ZTmETJ4UYmbiCQZJW4iErMjPcNUl+aRHU7vj47scIhlJXm82NwbdCgiIidI709fEYmbiHO09AwfH+cs3dWW5/Nic686KIhIUlHiJiIx6R4cY3QiwooMSdxWlBXQOzxOY9dQ0KGIiBynxE1EYjLVMSGTatwAdqi5VESSiBI3EYlJY9cQ2WGjuiQv6FAWxbKSPHKyQrzY1BN0KCIixylxE5GYNHYNsaKsIG1nTJguHDI21JTw4hHVuIlI8lDiJiLz+taTh2jtGWFlRUHQoSyq82tLeelIL5MRdVAQkeSgxE1E5tXSM8ykcxmXuJ1XW8bQ2CSvdAwEHYqICKDETSSjbNnayJatjQve73Cn17NyZWVmJW7n13kzRGzXfW4ikiSUuInIvBq7hqgozKEoNyvoUBbVmUuKKM7LUuImIkkjsz6FRWTBnHM0dQ2xeto0V6dSc5dqQiFjU10Z2xt7gg5FRARQjZuIzKO5e5j+0YmMu79tyqa6Mva29TE0NhF0KCIiStxEZG7PN3YDnJC4ZUJt25QLVpYRcbBTA/GKSBJQ4iYic3r+cDc5/qTrmej82jIAvvHrQ8Cpd/AQEYkHJW4iMqfnG3uorcjPmIF3p6ssyqWiMEdzlopIUlDiJiKzGhidYHdrH6sy9P62KXXl+TR1D+GcBuIVkWApcRORWW071MVkxHHGkqL5N05DU02idRUF9I9M0No7EnBEIpLplLiJyKyePtBFdtgytkfplKnr13huIhI0JW4iMqutBzs5v7aMnKzM/qioLs0jK2S84PewFREJSmZ/GovIrAZHJ3ixuZdLz6wIOpTAZYVCLC/LV42biAROiZuIzGjb4W4mI45Lz6gMOpSkUFeez4vNvUxG1EFBRIKT0MTNzK4ys31m1mBmt86w3szsS/76F83swvn2NbN/MbO9/vY/MrOyRF6DSKbaeqCTrJBx0aryoENJCnUVBYxORGjrUwcFEQlOwhI3MwsDXwauBjYA7zGzDdM2uxpY4z9uAm6PYd+HgY3OufOAl4GPJ+oaRDLZ0wc6Obe2lMIMm1h+NnXlXgeFJo3nJiIBSmSN2yVAg3PugHNuDLgXuG7aNtcBdzvP00CZmdXMta9z7iHn3NSkgU8DtQm8BpGMNDTm39+mZtLjQ4KUFWSzpChXiZuIBCqRidsKoCnqdbO/LJZtYtkX4PeBn592pCJygucOdzMRcVymjgnHmRmb6spo6lbiJiLBSWTiNtP8ONPv6p1tm3n3NbNPAhPAt2c8udlNZrbNzLZ1dHTEEK6ITHnyFe/+ts31StyiXbCyjGMDYwyNTcy/sYhIAiTy5pVmoC7qdS3QEuM2OXPta2Y3Au8A3uRmmYPGOXcncCfA5s2b1Q1MJAZTzYKPv9zBhSvLKdL9bSfoGhwDoLl7OOBIRCRTJbLG7VlgjZmdYWY5wPXAfdO2uQ+4we9dehnQ65xrnWtfM7sK+BhwrXNObRYicdY/Ms6ulj5ev3ZJ0KEkndqyfAw04byIBCZh/0475ybM7BbgQSAM3OWc22VmN/vr7wAeAK4BGoAh4INz7esf+j+BXOBhMwN42jl3c6KuQyRTTNW2NRwdAOD1a6uCDCcp5WaHWVaSR7PucxORgCS0HcQ59wBecha97I6o5w74SKz7+svPinOYIhJl/9EBCnLCbFxeGnQoSam2PJ9dLX045/D/eRQRWTSaOUFEjos4x/6jA5y1tIhQSEnJTFZWFDA8PsnBY4NBhyIiGUiJm4gc19o7wuDoBGuXFgcdStKqrfAG4n2hsSfYQEQkIylxE5Hj9rf3A3DWsqKAI0leS4tzyc0KacJ5EQmEEjcROW7/0QFqSvMoyctmy9bG4x0W5FUhM1aU5/NCU3fQoYhIBlLiJiIAjIxP0tg5xJqlqm2bz8ryAva29jM8Nhl0KCKSYZS4iQgA+9r7mXSO9TUlQYeS9OoqCpiIOF5q6Q06FBHJMErcRASAPa19FOaEqfNvvpfZ1ZbnA/BCo5pLRWRxKXETEcYmIuxr62d9TQkhjU02r+K8bGrL89VBQUQWnRI3EeHpA52MTkTUTLoAF6ws15AgIrLolLiJCA/tbiM7bJw1Q8cE9Syd2QV1ZbT2jtDWOxJ0KCKSQZS4iWS4SMTx8O521iwtJjusj4RYbVpZBsB2DQsiIotIn9IiGW7nkV7a+0bZsFzNpAtxzvIScsIhXtB9biKyiJS4iWS4h3a3EQ4ZZy/TNFcLkZsVZv3yEt3nJiKLSombSAZzzvHAzjYuO7OCgtysoMNJORfUlbGzuZfxyUjQoYhIhlDiJpLB9rT2c/DYINecWxN0KCnpolXlDI9Psqe1L+hQRCRDKHETyWAP7GwlZPC2c6qDDiUlba4vB+DZQ+qgICKLQ4mbSIbymklbuezMSpYU5QYdTkqqKc2nrCCbHz3fHHQoIpIhlLiJZKi9bf0cUDPpadmytZFVFQUc7hrCORd0OCKSAZS4iWSoqWbSqzaqmfR0rKospH9kgqau4aBDEZEMoMRNJAM55/jZzlYuPUPNpKdrVWUBANsOdwUciYhkAiVuIhlo/9EBDnQMcs15aiY9XctK8sjLDrHtsDooiEjiKXETyUAPvtSGGbxtw7KgQ0lZU3O4hsxYWVHAtkOqcRORxFPiJpKBHtzdxgV1ZSwtyQM0kfzpWlVZyMvtA/QOjQcdioikOSVuIhmme2iMl4708VaN3RY3qyq8+9yea1Stm4gklhI3kQwzNcq/Bt2Nn9ryArJCxjMHdZ+biCSWEjeRDLOrpY+1y4o4Y0khW7Y2qpk0DnKyQly4qpxf7e8IOhQRSXNK3EQyyODoBIeODfLWDapti7cr1laxq6WPjv7RoEMRkTSmxE0kg+xt68OhZtJEGBqdBOCJBtW6iUjiKHETySB7Wvspzc9m44qSoENJOzVleVQW5vD4y8eCDkVE0pgSN5EMMTYRoaFjgHXLijGzoMNJOyEzXrtmCb/a30EkonlLRSQxlLiJZIhth7sYm4iwdllx0KGkrdevqeLYwBi7/Z67IiLxpsRNJEM8tq+DsBmrqwqDDiVtvW7tEgAe39+h3roikhBK3EQyxI+3H2HVkgJys8NBh5K2lhbnsb6mhMdfVgcFEUkMJW4iGaClZ5j2vlHW+c2kqg1KnNevXcJzh7sZGZ8MOhQRSUNK3EQywFQNkO5vS7y3bqhmfNKxu0X3uYlI/ClxE8kAj+7roDQ/m6XFuUGHkvb2tvZRXpDNjuaeoEMRkTSkxE0kzY1PRvh1wzHWLivSMCCLwMw4r7aMVzoGODagWRREJL6UuImkuecOd9M/OqFm0kUwde/g+bVlRBw8sLM14IhEJN0ocRNJc4/u6yArZKyuKgo6lIxRXZrH0uJc7tveEnQoIpJmlLiJpLlH9x1lc305eRoGZFFtqitj2+FumruHgg5FRNKIEjeRNNbeN8Letn6uXLc06FAyznm1ZQDcv0PNpSISP0rcRNLYY/u8YUCuWFsVcCSZp6Iwh82ryvnus42au1RE4kaJm0gae/Tlo1SX5HF2tTomBOH9l6/iUOcQv2o4FnQoIpImEpq4mdlVZrbPzBrM7NYZ1puZfclf/6KZXTjfvmb2O2a2y8wiZrY5kfGLpLKJyQi/2n+MK9ZWaRiQgFy1sZolRTnc89RhzVYhInGRsMTNzMLAl4GrgQ3Ae8xsw7TNrgbW+I+bgNtj2Pcl4DeBxxMVu0g6eL6xh/6RCa5cp2bSoORmhbn+4pX87952uofGgg5HRNJAImvcLgEanHMHnHNjwL3AddO2uQ6423meBsrMrGaufZ1ze5xz+xIYt0haeHTfUbJCxmvWLAk6lIy1ZWsjBTleb95nDnYFHI2IpINEJm4rgKao183+sli2iWVfEZmFc46Hdrdz0apySvKygw4no5UV5PDm9ct49lCXJp4XkdOWyMRtpptqpnetmm2bWPad++RmN5nZNjPb1tHRsZBdRVLeS0f6aDg6wHWb9P9OMrjxN+oZGpvkkz/ayZatjbrfTUROWSITt2agLup1LTB9GPHZtoll3zk55+50zm12zm2uqtI9PpL+opOBHzzfTE5WiLefWxPT9pJYv7G6kuqSPJ5oOIZzGhpERE5dIhO3Z4E1ZnaGmeUA1wP3TdvmPuAGv3fpZUCvc641xn1FMt5Mydf4ZIT7d7TwlvXLKC1QM2kyMDNeu2YJ7X2j7D86EHQ4IpLCEpa4OecmgFuAB4E9wPecc7vM7GYzu9nf7AHgANAAfBX48Fz7ApjZu82sGbgc+JmZPZioaxBJRY+/3EHn4BjvvkDNpMnkvNpSivOyeEJjuonIachK5MGdcw/gJWfRy+6Ieu6Aj8S6r7/8R8CP4hupSPr44fNHqCjM4Yp1VWzZ2sh7L10ZdEgCZIVCXH5mJQ/tbqetdyTocEQkRWnmBJE00js0zsN72rn2/OVkh/XnnWwuOaOC7LCp1k1ETllCa9xEZHF9+5nDjE1E+O2Lao8vUyeE5FGQk8VFqyp49mAXR/tG+MWeowCqFRWRmOlfcpE0MTw2yR2PvsIbz17KxhWlQYcjs3jN6koizvGtpw4FHYqIpCAlbiIpbmpcsF81dNA3MsFfvHXt8eWSfCqLcllfU8K3tzYyNhEJOhwRSTFK3ETSQP/IOE82dPLO85dzznLVtiWb6Un069YsoWdonOcbuwOKSERSlRI3kTTw6MsdTEQi/Nmb1wQdisRgZUUBm+rK+HXDMSIakFdEFkCJm0iKa+8bYeuBTi5aVc6ZVUVBhyMxMDP+8HVn0Dk4xu6WvqDDEZEUosRNJIU55/jJ9hZys8K8dUN10OHIAly9sYbKwhweffmopsESkZgpcRNJYdubejjUOcjbzqmmMFej+6SScMi4Ym0VLT0jPL5f47qJSGyUuImkqN7hcR54qY3a8nw215cHHY4s0JatjWxaWUZpfjZf/t+GoMMRkRShxE0kRf3bQ/sYGp3guk0rCJkFHY6cgqxQiNetWcIzh7p45mBX0OGISApQ4iaSYrZsbWRncy/3PH2YS8+sZEVZ/gnrJLVsXlVBZWEOX3pkf9ChiEgKUOImkmIizvE3P3mJisJc3rJ+2UnrpwbkldSQkxXiQ1eu5omGY/xy79GgwxGRJKfETSTFbDvUzY6mHj759rPJzwkHHY7EwQ2X13PmkkL+4We7GZ/UbAoiMjslbiIppKN/lAd3tXHpGRW8a9OKoMOROMnJCvHas5ZwoGOQu586HHQ4IpLElLiJpJBP37+LsckIn3n3uZg6JKSVddXFrFlaxBd/8TJdg2NBhyMiSUqJm0iKeGRPOz99sZU3rKvirKWaISHdmBnXnFvD0NgkH/vBixqUV0RmpMRNJAUMjE7wNz9+ibXLinj92qqgw5EEWVaSx8evWc/Du9v5+hMHT1inTiciAkrcRJKec45P/HAnbX0j3PZb55EV0p9tuolOyPKyQrztnGXc9vO9PHe4O8CoRCQZ6RtAJMl96ZEG7tvRwl++dR0XrtQMCenOzPjcb59PcV4WH/jGMxw6Nhh0SCKSRJS4iSSJmZrC7tvRwhd+8TK/dWEtH75ydUCRyWIrzc/m/ZfXMxlxvOerT3O4U8mbiHiUuIkkqe8+28if3budS+or+Kff3IiZ6R6nDLFlayPVJXn8wWvPYHh8kvfc+TSdA6NBhyUiSUCJm0iSGZuI8P9+/BIf+8FOzqgq5Ks3bOYHzx1R0paBakrz+fYfXsrQ+CRfefwAR3qGgw5JRAKmxE0kiRzpGeY3b/819zx9mNetWcKNl9dTWpB90nbqYZg5djT18v2bLycrZHz1Vwf41f6OoEMSkQApcRNJAoOjEzyws5X/+mUDbb2jvPeSlVy9sYZwSIPsCjxzsJs/vmI1FQU5fPAbz/LjF46csF6JvEjmUOImEiDnHD97sZU3ff4xnmg4xub6ch758yvYuKI06NAkyZTmZ/NHrzuTi1aV86ff3c6dj7+iQXpFMlBW0AGIZKpXOgb4u5/s4omGY9SU5vHHrz+TVZWF/Gxna9ChSZLKzwnzrd+/hL/43g7+6YG9dA6OsbK8QNOfiWQQJW4ii+yuJw5ybGCUr/7qAHnZYT597TmEzNQsKjH54fNH+I/3XEBZQTZfeewAV6yt4q0blil5E8kQStxEFsnQ2ATffPIQ//FIA8Pjk/zWhbXcevXZPLy7fc79dO+STHfvs02srynhkvoKHnu5AzN4y/plQYclIotAiZtInGzZ2sh7L115wrJvP32Y1t4ReofH+fH2I/SPTLB2WRFvXr+M2vKCeZM2kdmEzLh203Icjkf3dZATDvF/LlsVdFgikmBK3ETirHd4nCcbjvH4/g5+vrONnuFxcrNCrK8p4bIzK1lZURB0iJImQmZct2kF45OOh3a3860nD3Hjb9QHHZaIJJASN5E4+NqvDrC9qYcfPN/M9qYeJiOOotwsVlYUcMW6Kv7+2o3qdCAJETLjty6sZXQiwt/dt4vC3Cx++6LaoMMSkQRR4iayQFP3nL330pX8xyP7eWTvUV460stExFFTmsfr1izhw1eexQUry/ifbc0AMw6iKxIv4ZBx/cV1PLS7jb/+/g6KcsNctbEm6LBEJAGUuImcgqHRCT59/y7ufvIwoRBcXF/B5vpyakrzAWg4OsAlZ1Qc314dDCTRssMh7nz/Zt7/9a189Dsv8PUbs3j92qqgwxKROFPiJrIAkYjj2UNdPLirjZHxSS5aVc6b1i+jJE81ahK8n2xv4RsfuITrv/o0N92zjX//vU2qeRNJM5o5QWSamaYPcs7xq/0d/ObtT/KjF46wtDiXW96whndfUDtr0qZaNglCaUE2d//+JZxdXcLN//08t/18LxOTkaDDEpE4UY2bCCfetxatd3icR/cd5VtPHuL5xh5qSvP47YtquaCuTAOeSlKaGpbmu398GZ++fzd3PPYKTx3o5E/fvIYr11bpfSuS4pS4iUzTNTjGntY+fvpiC08f6CTiYEVZPtdtWs7nfvs8fvDckfkPIhKw3KwwG5eX8u+/t4l/eXAfH/zGs5yzvIR3nr+c16+pYn1N8YKSuJnGKRSRxafETTLKTF8+kYijsWuIPa19fOvJQ+xr7wdg7bIiXremij950xo21ZXx3WebyM0KBxG2yIJEN9O/64IVvP28Gn70whHueuIgt/18L7f9fC8FOWFqy/NZUZZPbXkBt7zxLJaV5AUYtYjEQombZKThsUmeaDjGL3a387OdrQyMThAyqK8s5O3n1nB2dTEffdMatmxt5KJV5cf3031rkmqi37M3XF5P7/A4DUf7Odw5RHP3MA1HO4g4uOfpwywryeXcFWWA432XreLcFaVUFuUGFruInEyJm2SEsYkIu1p6eWJ/B4/saeeJhmOMTkQozs3izKpCzq4uYd2yYvJzVKMm6a00P5uLVlVw0SpvuJqxiQitvcNUl+Zx3/YWdjT1cGxglF/sOQp4twmsrylmMuIozc/m7Jpi6isLCYd0r5xIEJS4SVqYagKd9Js997X1sbetn5fb+9nfPsDBY4NMRBwAKysKeM8lK3nLhmVcXF/B959rnvfYIukqJyvEqspC3nvpyuO3AoyMT9LSM8wR/3G4c4hXOgb45b4OAPKyQywpyqW6JI93nFdDc88wH33DGg00LbIIzDkXdAwJt3nzZrdt27agw5A4cs7R0T/K3rZ+9rX18/OX2hifjLD/aD8j497QBwaUF+Zw4cpyxicjrCjLZ2VlgcZcEzkF45MRLlpVzp7WPn78whHa+kZo7R1haGzy+DZVRbm88eylXFRfzsX1FdRXFqgXq8gpMLPnnHObZ1qX0Bo3M7sK+CIQBr7mnLtt2nrz118DDAEfcM49P9e+ZlYBfBeoBw4Bv+uc607kdUhw7nnqML3D41ywsoxDnYPcv6OV9r4ReobG6B4aP75dcW4Wy0rzuGhlOdWleSwryWNpcR45WSHee+lK1ZqJnKbscIiNK0rZuKKU8UnvH37nHP2jE7T1jtDSM0xj1xAP7m7ju9uaACjMzeI1qyu5uL6CC1aWcXZNCUW5augROR0J+wsyszDwZeAtQDPwrJnd55zbHbXZ1cAa/3EpcDtw6Tz73go84py7zcxu9V9/LFHXIafGOcfg2CR3P3mIN5y9lN7hcXqHxxkcnWB8MsLYpGN8IsL4ZOTV15MRBkcn6Bkap2twjKbuIZq6hohEVQrnZoVYVpLHWUuLePu5NayrLmFddTH/30tts8aipE0kMcyMkrxsSvKyWbusGIDrL67ji4/sp7FziEOdg+xr7+eh3e3H91lZUcDqqkJWVRayoiyfsoJsSvO9R1lBDsV5WeRlh8nNCvHD54/w/stXBXV5IkkpYU2lZnY58Cnn3Nv81x8HcM59NmqbrwCPOue+47/eB1yJV5s2475T2zjnWs2sxt9/3VyxJGNTqXMO58BNPT++HBzeuumvo7d1DphjnfNW4oDJiGMy4piIOCYjESYijonJ6GWOiUjk1deTJy8fn4wwNDbJ0Ngkg6MTvNDYw9hEhNHJCEuKchganWRwbILB0Qn6RiboGx4/fk9ZrELmjT2VnxOmrqKAuvJ8BkYmqCjMOf4ozc9W04tIiukfGae5e5i2vhHaekfoHBilc3CM0Yn5Z3QwICtsFOZmkZsVIicrRG5WmKHRCZaV5pHrv45el5sdIiccwgxCZoRDdvx5yGB3Sx9mhgGb6soIh42skJEVCpEVNp473M1rVi8hHDKywt7yqWNExwWc8Hk09Swc8s6ZNfUzbIRDoVdfH/8ZIhTi+PGzQkbI7PiBYj1f9LYWtXSmj8oTj3nytice02Y9z/RYJL6CaipdATRFvW7Gq1Wbb5sV8+y7zDnXCuAnb0vjGfSpuPupQ3z2gb0nJFFzJVWpLitkZIe9D8mcrBA9Q2Pk+K9L8rN57ZolNHcNk5ftJWH5UT9zs0JRH2re81AIwmb6EBBJU8V52ayvyWZ9TcnxZc45RsYjDI9Peo8x7+fI+CQTk/4/mBHnPZ90jEcc9ZUF7GvrZzziyAoZRblZNHUNMxHxtnn1p/fcOw9Epv+jPPU5DTyy9+iMMf9ke0uCSyU9nW6yyYwJZPRqm/U8CzEecWSfYs/oz//u+YHOAZzIxG2mEpmetsy2TSz7zn1ys5uAm/yXA35NXVCWAMcCPP+iuj/2TTOqXGKkMjmZyuRkKpOZqVxOpjI52WmVydX/EMdIZjfrPQKJTNyagbqo17XA9H9hZtsmZ459282sJqqpdMZ/l5xzdwJ3nnr48WNm22ar8sxkKpeTqUxOpjI5mcpkZiqXk6lMTpbqZRJK4LGfBdaY2RlmlgNcD9w3bZv7gBvMcxnQ6zeDzrXvfcCN/vMbgZ8k8BpEREREkkbCatyccxNmdgvwIN6QHnc553aZ2c3++juAB/CGAmnAGw7kg3Pt6x/6NuB7ZvYHQCPwO4m6BhEREZFkktABdZxzD+AlZ9HL7oh67oCPxLqvv7wTeFN8I024pGiyTUIql5OpTE6mMjmZymRmKpeTqUxOltJlkhEzJ4iIiIikg0Te4yYiIiIicaTELQHM7KNmts/MdpnZ56KWf9zMGvx1b4tafpGZ7fTXfcnSdEAzM/tLM3NmtiRqWUaWiZn9i5ntNbMXzexHZlYWtS4jy2QmZnaVXw4N/kwpGcHM6szsl2a2x/8c+b/+8goze9jM9vs/y6P2mfF9k27MLGxmL5jZT/3XGV0mZlZmZt/3P0/2mNnlKhP7M//v5iUz+46Z5aVVmXiDEeoRrwfwBuAXQK7/eqn/cwOwA8gFzgBeAcL+umeAy/HGr/s5cHXQ15GAcqnD62xyGFiS6WUCvBXI8p//M/DPmV4mM5RR2L/+M/GGCNoBbAg6rkW69hrgQv95MfCy/974HHCrv/zWWN436fYA/hzYAvzUf53RZQJ8C/hD/3kOUJbJZYI3gP9BIN9//T3gA+lUJqpxi78PAbc550YBnHNT48xdB9zrnBt1zh3E60l7iT8WXYlz7innvYvuBt4VQNyJ9gXgrzlxIOWMLRPn3EPOuQn/5dN4YxVCBpfJDC4BGpxzB5xzY8C9eOWT9pxzrc655/3n/cAevC+k6/C+qPF/vst/PuP7ZlGDXgRmVgu8Hfha1OKMLRMzKwFeD3wdwDk35pzrIYPLxJcF5JtZFlCANw5s2pSJErf4Wwu8zsy2mtljZnaxv3yu6b2aZ1ieNszsWuCIc27HtFUZWybT/D5eDRqoTKLNVhYZxczqgQuArUyb8g+YmvIvU8rq3/H+AYye5DSTy+RMoAP4ht98/DUzKySDy8Q5dwT4V7zhwlrxxod9iDQqk4QOB5KuzOwXQPUMqz6JV6blwGXAxXhjzp1JAqf3SgbzlMkn8JoGT9pthmUZUSbOuZ/423wSmAC+PbXbDNunTZksUCZe8wnMrAj4AfCnzrm+OW5rTPuyMrN3AEedc8+Z2ZWx7DLDsrQqE7zvmwuBjzrntprZF/GaAWeT9mXi37t2HV6zZw/wP2b2vrl2mWFZUpeJErdT4Jx782zrzOxDwA/95qxnzCyCNy/abNN7NfNqM1n08pQyW5mY2bl4f0A7/C+dWuB5M7uEDC2TKWZ2I/AO4E3++wXSvEwWKJZp89KWmWXjJW3fds790F8825R/mVBWrwGuNbNrgDygxMz+m8wuk2ag2Tm31X/9fbzELZPL5M3AQedcB4CZ/RD4DdKoTNRUGn8/Bt4IYGZr8W4WPYY3Vdf1ZpZrZmcAa4Bn/CrbfjO7zO8leANpNI2Xc26nc26pc67eOVeP90dyoXOujQwtE/B6SwIfA651zg1FrcrYMplBLNPmpSX/d/x1YI9z7t+iVs025d+M75vFincxOOc+7pyr9T9Hrgf+1zn3PjK7TNqAJjNb5y96E7CbDC4TvCbSy8yswP87ehPePaJpUyaqcYu/u4C7zOwlYAy40a9N2WVm38P7o5oAPuKcm/T3+RDwTSAf716nn5901DTkvCnQMrVM/hOvF9PDfk3k0865mzO8TE7g5p76Lt29Bng/sNPMtvvLPsEsU/7N875Jd5leJh8Fvu3/c3MAb+rIEBlaJn6T8feB5/Gu8QW8mRKKSJMy0cwJIiIiIilCTaUiIiIiKUKJm4iIiEiKUOImIiIikiKUuImIiIikCCVuIiIiIilCiZuIiIhIilDiJiIiIpIilLiJiIiIpIj/HyvhNl4o9493AAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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WJDxeDhxOcpkp13XOHXXOjTvnYsCdeKdVT+Kcu8M5t8k5t6m2tvaUXoiIiIhIOkhlcHsCWG9ma8wsH7gWuG/CMvcB1/u9Sy8Gup1zR6Zb178GLu5NwLMpfA0iIiIiaSOSqg0758bM7GbgASAM3OWc22lmN/nzbwfuB64C9gEDwLumW9ff9OfM7Dy8U6cHgfel6jWIiIiIpBNzbuJlZ9ln06ZNbuvWrUGXIZLRJt4O5G0XrQyoEhGR7GZmTzrnNk02TyMniIiIiGQIBTcRERGRDKHgJiIiIpIhFNxEREREMoSCm4iIiEiGUHATERERyRAKbiIiIiIZQsFNREREJEMouImIiIhkCAU3ERERkQyh4CYiIiKSIRTcRERERDKEgpuIiIhIhlBwExEREckQCm4iIiIiGULBTURERCRDKLiJiIiIZIhI0AWISHrbvKUh6BJERMSnFjcRERGRDKHgJiIiIpIhFNxEREREMoSCm4gkZWB4jCcOdDAec0GXIiKSs9Q5QURm5Jzj+082sedoL8Nj41y6vjbokkREcpJa3ETkBJu3NJzUk3TroU72HO2ltCDCr3a30j04GlB1IiK5TcFNRKbV0T/Cz3ccYW1NMTe+bC2xmOP+HUeCLktEJCcpuInItH78dDMG/MUFy6kuifLyDbXsaO7m93uPBV2aiEjOUXATkSl19I+wr7WPS0+robIoH4DL1tdSWZTHV3+z94RlJzvFKiIi80vBTUSm9PkH9gBw2qKS49PywiFetKyCrQc76R3yrnVTYBMRWRgKbiIypfpjfeSHQyyvLDph+ulLShiLOf64vz2gykREcpOCm4hMqb6tn1XVRYRDdsL0VVXFlEQjPLKnLaDKRERyk4KbiEyqrXeY1t5h1taWnDQvHDIuOa2a3z7fhnO6Ia+IyEJRcBORSW054J0GXVtTPOn8yzcsorlrkH2tfQtZlohITlNwE5FJ/Wl/O9FIiKUVhZPOf/np3ugJOl0qIrJwFNxEZFJ/qm9ndXXxSde3xS2tKOT0xSU8+ryCm4jIQlFwE5GT9AyOUt/Wz9rayU+Txr389FoeP9DB8Nj4AlUmIpLbFNxE5CT1x/oBWFtzcseERC8/fREj4zEO+suLiEhqKbiJyEkaOwYoyg9TV1Ew7XIXrKokL2wcUHATEVkQCm4icpLmrkHOWlpGyCa/vi2uMD/MucsrjrfQiYhIaim4icgJxmOOI92DvGhZRVLLX7y2msNdgwyP6jo3EZFUU3ATkRO09Q0zOu540fKypJa/aG0VMQeHOgZSXJmIiCi4icgJmjsHATjUnlwQu2BVJSFD17mJiCwABTcROUFz1yD5kRA1JdGkli/Kj7C8skjBTURkASi4icgJmjsHWFpeOGPHhERraopp6hxgZCyWwspERETBTUSOGxuPcaR7iGUz3AZkojU1xcQcNOg6NxGRlFJwE8lxm7c0sHlLAwB7W/sYizmWVRbNahurqooIGdQf6zu+LRERmX8KbiJy3I7mbgCWTTGw/FSieWGWVhTqOjcRkRRTcBOR43Y0dRONhKguyZ/1uquqimjuHGQ85lJQmYiIgIKbiCR4prmbpRWz65gQt6KqiLGYo6VnKAWViYgIKLiJiG90PMZzR3pmfZo0boV/XVyjOiiIiKSMgpuIALC/rY+RsRhLZ9mjNK6iKI/iaISmTgU3EZFUUXATEQB2He4BoK58bi1uZsaKykIaOgbVs1REJEUU3EQEgJ2He4jOYsSEyayoKuJY3zCDIxpwXkQkFVIa3MzsCjPbY2b7zOyWSeabmX3Fn/+MmZ0/i3U/YmbOzGpS+RpEcsWuwz2cUVdGODT7jglx8evcmjoHTrg/nIiIzI+UBTczCwNfA64ENgLXmdnGCYtdCaz3f24EbktmXTNbAbwG0LeCyDxwzrHzcDfR8Kl9JCyvLMSARl3nJiKSEqlscbsQ2Oecq3fOjQDfAa6ZsMw1wD3O8xhQYWZ1Saz7ReDvAd0wSmQedA2M0jM0Rt0cOybEFeSFqS2N0tgxOE+ViYhIolQGt2VAY8LjJn9aMstMua6ZXQ00O+e2T/fkZnajmW01s61tbW1zewUiOeJItxe0ls6xY0KiFZVFNHYO4Jz3/yqdLhURmT+pDG6TXSgzsYVsqmUmnW5mRcDHgU/M9OTOuTucc5ucc5tqa2tnLFYklx3uHiJksLjs1FrcAJZXFTIwMk5H/8g8VCYiIolSGdyagBUJj5cDh5NcZqrp64A1wHYzO+hPf8rMlsxr5SI55kjXIGtrS8iPJP+RMFVL2gsdFHS6VERkvqUyuD0BrDezNWaWD1wL3DdhmfuA6/3epRcD3c65I1Ot65zb4Zxb5Jxb7ZxbjRfwznfOtaTwdYhkvcPdQ2ysK5uXbS0qixIyNPSViEgKRFK1YefcmJndDDwAhIG7nHM7zewmf/7twP3AVcA+YAB413TrpqpWkVw2MDxG9+AoZy2dn+AWCXn3gjuq4CYiMu9SFtwAnHP344WzxGm3J/zugA8mu+4ky6w+9SpFctvhbi9gbVxaNm+9QZeUF2jMUhGRFNDICSI5Lt6j9Kyl5fO2zcVlBXQOjDI8qhEURETmk4KbSI5r6R6irCBCVXH+vG1zid879Wjv8LxtU0REFNxEcl5LzxBLyk/9NiCJ4rcVOdqt69xEROaTgptIDhsdj9HaM3y8hWy+VBTlkR8OqWepiMg8U3ATyWEHjvUz7ty83Hg3UciMxWXqWSoiMt8U3ERy2HNHegDm/VQpeKdLW3qGjg99JSIip07BTSSH7WnpJWRQWxqd920vLitgYGScvuGxed+2iEiuUnATyWG7W3qpLY0SCc3/R0G8Fe9oj3qWiojMFwU3kRz21KHOeb++LS6+XXVQEBGZPwpuIjmqe3CUrsFR6lIU3EqiEYqjEd0SRERkHim4ieSo54/2ArA4BR0T4paURTnaq+AmIjJfUjpWqYikp81bGnisvh1g3u/hlmhRWQFPHuzEOYeZpex5RERyhVrcRHJUS88QBXkhygvzUvYctSVRRsZjus5NRGSeKLiJ5KiW7iGWlBWktCUsfpuR+rb+lD2HiEguUXATyUHOOY72DKWsR2lcTUk8uPWl9HlERHKFgptIDuoaHGV4LJaSERMSlRVEyI+E2K8WNxGReaHgJpKD2nq9m+IuKk1tcDMzakui7FeLm4jIvFBwE8lBrX5wS8VQVxPVlOTrGjcRkXmi4CaSg9p6hynKD1MSTf0dgWpLozR3DTI4Mp7y5xIRyXYKbiI5qK13iNqS1Le2wQsdFA4cU6ubiMipUnATyUGtvcMLcpoUEm4JckzXuYmInCoFN5Ec09E/wsDIOIsWKLhVF0cxg/2tanETETlVCm4iOSbew7M2xT1K4/IjIZaWF6rFTURkHii4ieSYfa1egFqoFjeAtbXF6lkqIjIPFNxEcsy+1j7ywkZ5UerGKJ1oXW0J9W19OOcW7DlFRLKRgptIjtnX2kdtSZRQCsconWhdbTH9I+Mc7RlesOcUEclGCm4iOWTzlga2N3VRs4CnSQHW1pYAGrNURORUKbiJ5JCRsRhdA6MLen0beKdKAQ19JSJyihTcRHLIsb74UFcL06M0bnFZlPxIiPufbVnQ5xURyTYKbiI5pPX44PIL2+JmZtSU5HOsV9e4iYicCgU3kRzS1jtEyKC6JH/Bn7u2JEpbn4KbiMipUHATySFtfSNUFuUTCS38W7+mNEr3wChDoxpsXkRkriJBFyAiC6e9b/j4oO/zYfOWhqSXrS2J4vAGmz+zrmzeahARySVqcRPJEc452vtHqArgNOnmLQ3HB5tXz1IRkblTcBPJEcf6RhgZi1FTvPDBDbzB5gF+vK05kOcXEckGCm4iOeJQuzdWaPU8niqdjfxIiIrCPI71jQTy/CIi2UDBTSRHHGwfAKA6oBY3gNrSKG26JYiIyJwpuInkgM1bGvj5M4cJGVQUBRfcavxbgmiweRGRuVFwE8kRx/pGqCjKJxxauMHlJ6opjTIyFjt+I2AREZkdBTeRHNHRPxLoaVLwbgkCsL9VPUtFROZCwU0kB3i3AhkOrGNC3PFbghzrD7QOEZFMpeAmkgMGRsYZGo0F3uJWVhAhPxyiXvdyExGZEwU3kRzQ3u/dgiOIMUoTmRk1pfnsb1OLm4jIXCi4ieSAdn9w9/hNcINUUxJVi5uIyBwpuInkgPb+EQyoLMoLuhRqS6I0dw1qsHkRkTlQcBPJAe19w1QU5REJT/2Wn82A8aeitjSKc95g8yIiMjsKbiI5oL1/JPAepXE1fh31us5NRGTWFNxEstzmLQ209wV/D7e4F4KbrnMTEZktBTeRLDcwMsbg6HjaBLf8SIhlFYXsV3ATEZk1BTeRLNfh3wqkKg16lMatrS2mXte4iYjMmoKbSJY7HtwCvodborU1xdS39WuweRGRWUppcDOzK8xsj5ntM7NbJplvZvYVf/4zZnb+TOua2af9ZZ82swfNbGkqX4NIpjse3IrSJ7itW1RC3/CYBpsXEZmllAU3MwsDXwOuBDYC15nZxgmLXQms939uBG5LYt1/c86d45w7D/gZ8IlUvQaRbNDRP0JJNEJ+JH0a2NfWlABwx2/rA65ERCSzpPKT/EJgn3Ou3jk3AnwHuGbCMtcA9zjPY0CFmdVNt65zridh/WJA51pEptHRP0JVmnRMiFtbWwzAsT61uImIzEYqg9syoDHhcZM/LZllpl3XzD5jZo3AXzNFi5uZ3WhmW81sa1tb25xfhEim6xhIv+C2pKyAovwwbTpVKiIyK6kMbjbJtImtY1MtM+26zrmPO+dWAPcCN0/25M65O5xzm5xzm2pra5MsWSS7jIzF6B4YTbvgFgoZa2qK1eImIjJLSQU3M/uBmb3ezGYT9JqAFQmPlwOHk1wmmXUBNgN/MYuaRHLK4a5BHOnVMSFubW2JWtxERGYp2SB2G/A2YK+ZfdbMzkhinSeA9Wa2xszygWuB+yYscx9wvd+79GKg2zl3ZLp1zWx9wvpXA7uTfA0iOaehYwCAyjRrcQNYV1tM18CoBpsXEZmFSDILOed+BfzKzMqB64CH/GvM7gS+5ZwbnWSdMTO7GXgACAN3Oed2mtlN/vzbgfuBq4B9wADwrunW9Tf9WTPbAMSAQ8BNc3vpItnvkB/c0u1UKXgtbg442N7PGUvKgi5HRCQjJBXcAMysGng78A5gG971ZZcCNwCXT7aOc+5+vHCWOO32hN8d8MFk1/Wn69SoSJIaOwaIhIzSgqTf6gtmbY3Xs7S+TcFNRCRZyV7j9kPgd0AR8Ebn3NXOue865z4ElKSyQBGZu4b2ASqL8gnZZP19ghW/JcgPn2oOuBIRkcyR7H/Dv+G3gB1nZlHn3LBzblMK6hKRedDQMZCWp0kBivIjlBfmqWepiMgsJNs54Z8nmfan+SxEROaXc47GjoG07JgQV1sSVXATEZmFaVvczGwJ3o1vC83sxbxwf7UyvNOmIpKmugZG6R0eS9sWN4Ca0ijbGjpxzmFpeDpXRCTdzHSq9HXAO/Huo/aFhOm9wD+kqCYRmQfxW4FUp3Fwqy3JZ3gsRlvvMIvKCoIuR0Qk7U0b3Jxz/w38t5n9hXPuBwtUk4jMg0NpfA+3uJrSKAD72/oV3EREkjDTqdK3O+e+Baw2s7+dON8594VJVhORNNAYv4dbGo6aEFdbEg9ufbx0XXXA1YiIpL+ZTpUW+//qlh8iGaahfYCakij5kVQOSXxqygrzyAsb9W39QZciIpIRZjpV+nX/339amHJEZL40dAywoqow6DKmFTKjpiRK/bG+oEsREckIyd6A93NmVmZmeWb2sJkdM7O3p7o4EZm7Q+39rK4unnnBgNWWRtnfpuAmIpKMZM+hvNY51wO8AWgCTgf+LmVVicgpGRod50jPEKuq0/+uPTUlUZo6BxkaHWfzloagyxERSWvJBrc8/9+rgG875zpSVI+IzIOmzgGcIzNa3EqiOAeH2geCLkVEJO0lG9x+ama7gU3Aw2ZWCwylriwRORUHj3khKBNa3GpLX+hZKiIi00squDnnbgFeCmxyzo0C/cA1qSxMRObuYLvXS3NVBrS41fi3BKlXcBMRmVGyg8wDnIl3P7fEde6Z53pEZB4cah+gtCBCZVHezAsHLD8Sorwwj4efa+Utm1YEXY6ISFpLKriZ2TeBdcDTwLg/2aHgJpKWDnUMsLq6OGPG/6wtidKmweZFRGaUbIvbJmCjc86lshgRmR+H2vt50bLyjOmlWVOaz7aGLvQRIyIyvWQ7JzwLLEllISIyP0bHYzR2DNA3NBZ0KUmrLYkyPBajdzhzahYRCUKyLW41wC4zexw4fj7DOXd1SqoSkTlr7hwk5qC6JH3HKJ2ottQbYL6tV6dLRUSmk2xw+2QqixCR+XMoPrh8cTTgSpK3yL8lSGuP7jIkIjKdpIKbc+5RM1sFrHfO/crMioBwaksTkbk45N8KJJNa3EoLIhTkhWhVi5uIyLSSHav0vcD/AF/3Jy0DfpyimkTkFBw8NkBe2CiNzuZuP8EyM2pLogpuIiIzSLZzwgeBS4AeAOfcXmBRqooSkbk71N5PdXE0Y24FEreorEDXuImIzCDZ4DbsnBuJP/Bvwqt++yJp6FDHAFXFmXOaNG5RaZS+4TE6+0dmXlhEJEclG9weNbN/AArN7DXA94Gfpq4sEZmL8ZijoX0go65vi4t3UNinoa9ERKaUbHC7BWgDdgDvA+4H/t9UFSUic9PSM8TIeIzqDOpRGrfIvyXIvlYFNxGRqSTbqzRmZj8Gfuyca0ttSSIyV4eOeT1KM/FUaXlRHnlhY+9RBTcRkalM2+Jmnk+a2TFgN7DHzNrM7BMLU56IzMZ+P7jVlmZei1vIjNrSKHtbe4MuRUQkbc10qvTDeL1JX+Kcq3bOVQEXAZeY2f9JdXEiMjv7W/soyg9TVpA5twJJtKi0gP06VSoiMqWZgtv1wHXOuQPxCc65euDt/jwRSSP72/pYV1uScbcCiVtUGuVw9xB9GrNURGRSM/23PM85d2ziROdcm5nlpagmEZmj+rZ+XrK6MugyZrR5S8Ok0+M9S/e39nHuiooFrEhEJDPM1OI23Q2VdLMlkTQyMDJGc9cg62pLgi5lzuKDze/V6VIRkUnN1OJ2rpn1TDLdgIIU1CMic1Tf5nVMWLeohK6B0YCrmZuq4nzCZuqgICIyhWmDm3NOA8mLZIj9/o1rT1tUwtaDnQFXMzfhkFFTmq9bgoiITCHZG/CKSJrb39pHyGBVdVHQpZySxWUFPH9ULW4iIpNRcBPJEvvb+llZVUQ0ktkN5YvLCmjqHFTPUhGRSSi4iWSJ+K1AMt1iv4OCWt1ERE6m4CaSBcZjjvpj/axblPnBbUm5H9xaFNxERCZScBPJAs2dg4yMxVhXWxx0KaesoiiPwrwwe9TiJiJyEgU3kSyQ2KM004XMOH1xiU6ViohMQsFNJAvs829Yu7Ym84MbwOmLS9nToluCiIhMpOAmkgUe2NlCcX6YXzzbEnQp82LDklKO9Q3T3jccdCkiImlFwU0kC7T1DVPrj/OZDU5fXArA87oRr4jICRTcRDKcc47WnuHj43xmgw1L4sFN17mJiCRScBPJcK29wwyOjrOkLHta3BaVRqkoymO3bgkiInICBTeRDLfHDzeLy7Knxc3MOH1xKX/YdyzoUkRE0oqCm0iGy8bgBrBhcSlHe4ZwzgVdiohI2lBwE8lwe472UhqNUByNBF3KvDp9SSnDYzEOdw8FXYqISNpQcBPJcHtaellcnl2tbQBn+h0U9rT0BFyJiEj6UHATyWDjMcfulh4WZ9GtQOLOqCsDYNdhBTcRkTgFN5EM1tAxwOi4Oz4wezYpiUaoKs5n1xEFNxGRuJQGNzO7wsz2mNk+M7tlkvlmZl/x5z9jZufPtK6Z/ZuZ7faX/5GZVaTyNYiks2ztmBBXV16gFjcRkQQpC25mFga+BlwJbASuM7ONExa7Eljv/9wI3JbEug8BZzvnzgGeBz6Wqtcgks42b2ng+082YsCiLLr5bqK68kIOtg/QNzwWdCkiImkhlS1uFwL7nHP1zrkR4DvANROWuQa4x3keAyrMrG66dZ1zDzrn4p/ijwHLU/gaRNLa0Z5hKovzyY9k11UPm7c0sHlLA0v9U8C7dbpURARIbXBbBjQmPG7ypyWzTDLrArwb+MUpVyqSoY52D2XtaVKAuopCAJ5TcBMRAVIb3GySaRPvpDnVMjOua2YfB8aAeyd9crMbzWyrmW1ta2tLolyRzDI6HqO9fzirhrqaqKwgQkVRnjooiIj4UhncmoAVCY+XA4eTXGbadc3sBuANwF+7KW6r7py7wzm3yTm3qba2ds4vQiRdtfUOE3Mnd0zYvKUhoIrmn5mxsa5MHRRERHypDG5PAOvNbI2Z5QPXAvdNWOY+4Hq/d+nFQLdz7sh065rZFcBHgaudcwMprF8krR3t8UYUyOZTpQAb68rY3dLL2Hgs6FJERAKXsuDmdyC4GXgAeA74nnNup5ndZGY3+YvdD9QD+4A7gQ9Mt66/zleBUuAhM3vazG5P1WsQSWct3UNEQkZNSfaeKgXYuLSM4bEY//7rfUGXIiISuJQObuicux8vnCVOuz3hdwd8MNl1/emnzXOZIhnpiN8xIRya7JLQ7HHwmNewfkRjloqIaOQEkUzknONw9yB1WThiwkS1pVHCIaOlezDoUkREAqfgJpKBWnqGGBgZP367jGwWDhmLy6IcVoubiIiCm0gmiveyXJoDLW4AS8sLae4cZIpO5CIiOUPBTSQDxYPbkizvURq3rLKQwdFxmjp1ulREcpuCm0gG2nWkh+rifKJ54aBLWRDL/FPCzzZ3B1yJiEiwFNxEMtCuIz050TEhbklZAWEznlFwE5Ecp+AmkmF6h0Y51D6QEx0T4iLhEIvLompxE5Gcp+AmkmF2t/QC5FSLG8DSikJ2NHerg4KI5DQFN5EME++YUFeeOy1u4HVQ6BoYVQcFEclpCm4iGWbX4R6K8sOUFaR04JO0E++gsEOnS0Ukhym4iWSYXUd6WFpeiFl2D3U10ZKyAvLCpuAmIjlNwU0kg4yMxdjT0ptz17eB10Hh9MWl6qAgIjlNwU0kg+xu6WFkPMbyqqKgSwnEOcvL1UFBRHKagptIBtne5LU2Lc+hW4EkOntZuTooiEhOU3ATySA/eqqZ4vwwFUV5QZcSiHOWVQCwvakr0DpERIKi4CaSQZo6B1heWZRzHRPiNiwpJRoJ8XRDV9CliIgEQsFNJEP0DY/R1jvM8qrcPE0KkB8JsaSsgId2HQ26FBGRQCi4iWSIHU3dOGB5RW52TIhbUVVEc9cgI2OxoEsREVlwCm4iGSJ+XdfyytxtcQMvuI3FHLtbeoIuRURkwSm4iWSI7Y1dVBXnUxzNrRETJlrhB9dtus5NRHKQgptIhtje2JXzrW0A5YV5lBVE2NbQGXQpIiILTsFNJAO09g5xuHsoZ+/flsjMWF5ZxNONXUGXIiKy4BTcRDLAM43+jXcrc7tjQtzKqiIOtg/Q0T8SdCkiIgtKwU0kA2xr7CQcMpaqxQ3wOigAPN2o06UiklsU3EQywJb6Ds5eVk5+RG9ZgGUVhYRMHRREJPfoW0AkzQ2OjLO9qYuL11QFXUrayI+EWFxWoOAmIjlHwU0kzW1r6GR03HHRWgW3zVsajv++sqrI3ze6Ea+I5A4FN5E0t+VABwYcaBsIupS0sra2hP6RcXY0dwddiojIglFwE0lzWw60U1deQGF+OOhS0sqammIAHqtvD7gSEZGFo+AmksaGx8bZ1tB1PKTIC0qiEU5fXMJj9R1BlyIismAU3ETS2PbGbobHYgpuU7h4bTVbD3boOjcRyRkKbiJpbIt/GnB1tYLbZC5eW82ArnMTkRyi4CaSxrYc6OCMJaUU5fjA8lO50L9Fytcf2R9wJSIiC0PBTSRNjYzFePJQJxfp/m1TqimJcvriEuqP9QddiojIglBwE0lTWw91MDg6zp+dVhN0KWnt4rXVHGof0HVuIpITFNxE0tRtv9lPXti4RMFtSpu3NDA67hgZj/FMk65zE5Hsp+Amkqb2HO3lwjVVlOj6tmmtrSnGgN/tbQu6FBGRlFNwE0lDzV2DtPYO84oNi4IuJe0VRyMsryzkf55sCroUEZGUU3ATSUOP7GkF4PINtQFXkhnOqCujqXOQ1t6hoEsREUkpBTeRNPSb3W1UFuWxrrYk6FIywhlLSgF4ZI9Ol4pIdlNwE0kzw2Pj/HH/MU5fXIqZBV1ORlhSVkB5YR6/fq416FJERFJKwU0kzTxxoJOBkXE2LC4NupSMYWZsWFzK7/a2MTw2HnQ5IiIpo+AmkmZ+vbuVSMhYq9Oks3LGklL6R8Z54kBn0KWIiKSMgptIGnHO8cDOFk5bVEJ+RG/P2VhbW0I0EuLh3UeDLkVEJGX0zSCSRnY0d9PcNchZS8uDLiXj5EdCXHJaDQ8/14pzjs1bGoIuSURk3im4iaSR+3e0EAkZZ9bp+ra5eO3GxTR0DLDzcE/QpYiIpISCm0iacM7xy2eP8NJ11RTla7SEuegbGiNk8PMdR4IuRUQkJRTcRNLEc0d6Odg+wJVn1wVdSsYqikZYV1vCz585gnMu6HJEROadgptImvjls0cwoG94LOhSMto5y8tp6BiguWsw6FJEROadgptImvjFsy2srinWoPKnaGNdOXlhY0dzd9CliIjMOwU3kTTw/NFe9rb2cdbSsqBLyXiF+WEuPa2GHc3dOl0qIllHwU0kDfx4WzMhgxct021A5sPrz1lK18Ao25vU6iYi2SWlwc3MrjCzPWa2z8xumWS+mdlX/PnPmNn5M61rZm8xs51mFjOzTamsX2QhxGKOnzx9mNMWlVBakBd0OVnhNRsXEw4ZP3m6OehSRETmVcqCm5mFga8BVwIbgevMbOOExa4E1vs/NwK3JbHus8Cbgd+mqnaRhbT1UCfNXYOcu7zipHmbtzToRrJzUF6YxxlLSvnp9sOMjseCLkdEZN6kssXtQmCfc67eOTcCfAe4ZsIy1wD3OM9jQIWZ1U23rnPuOefcnhTWLbKgPv/AHvLCxkZd3zavzl9ZybG+ET79s11BlyIiMm9SGdyWAY0Jj5v8acksk8y60zKzG81sq5ltbWtrm82qIgtmZCzGjuZuNtaVEY2Egy4na2ze0sD6xSUU5YfZ1tAVdDkiIvMmlcHNJpk2sYvXVMsks+60nHN3OOc2Oec21dbWzmZVkQXzqZ/uYnB0nPNWVAZdStaJhEKcs7yC54700D04GnQ5IiLzIpXBrQlYkfB4OXA4yWWSWVck421r7KQ4P8xpi0qCLiUrvXhFBWMxxy80BJaIZIlUBrcngPVmtsbM8oFrgfsmLHMfcL3fu/RioNs5dyTJdUUyWnvfMLuP9HLeigrCockameVULa8spKYkyg+fUu9SEckOKQtuzrkx4GbgAeA54HvOuZ1mdpOZ3eQvdj9QD+wD7gQ+MN26AGb2JjNrAl4K/NzMHkjVaxBJpR9ta2bcOS5YXRV0KVnLzDh/ZQWPH+zgwLH+oMsRETlllgt3Ft+0aZPbunVr0GWIHOec43Vf+i0DI+N84PLTgi4nq/UMjvJvD+7hPZeu4WNXnRl0OSIiMzKzJ51zk96rViMniATg6cYunj/ax6ZVam1LtbLCPF51xiK+/2QTw2PjQZcjInJKFNxEAvC9rY0U5oU5Z7mGuFoIb7toJR39I/zjT3YGXYqIyClRcBNZYHf/4SA/fKqZM+tKKcjTvdsWwmXra6ksyuPxAx1BlyIickoU3EQW2PamLobHYlyg06QLJhQyXrK6ivpj/dS39QVdjojInCm4iSwg5xyP1bezpKyA1dVFQZeTU85fVUnI0NivIpLRFNxEFtDWQ50c6R7ipWurMdO92xZSWUEeZy8r57tPNNI7pJEURCQzKbiJLKC7/3iQgrwQ566oCLqUnHTpaTX0Do/x3ScaZ15YRCQNKbiJLJCW7iEeeLaFTauqyI/orReE5ZVFrKkp5q7fH2B0PBZ0OSIis6ZvD5EFsnnLIcad4+K11UGXktMuPa2Gw91D3K/xS0UkAym4iSyAgZExvrWlgVduWERVcX7Q5eS0DUtKWVtbzOd+uYd7HzsUdDkiIrOi4CayAL79eCMd/SN84BXrgi4l54XMeO/L1tLcNcg+3RpERDKMgptIig2PjXPnb+u5aE0Ve1oUFNLBm89fRllBhF/vbiUXxmsWkeyh4CaSYj98qpmWniFufqUGk08XP3iymZefXsuh9gEeq9doCiKSORTcRFJobDzGbY/s59zl5Vx6Wk3Q5UiCTaurKC2I8OWHn2fzlgbdmFdEMoKCm0gK/fjpwzR0DPCBV5ymG+4GaLJQlhcOcdn6Wh6r7+DAsf4AqhIRmT0FN5EUGRwZ59M/28XyykJec+bioMuRSbxkdRUl0Qi/eu6ornUTkYyg4CYyz+KtO3f94QDdg6NceXYdoZBa29JRfiTE5RtqOXCsn72t6jgiIulPwU0kBY71DXPbI/vZWFfGmprioMuRaVy4uorKojwe3NlCLKZWNxFJbwpuIinw5V/tZWh0nCvOWhJ0KTKDSDjEq89czOHuIX6m0RREJM0puInMs+bOQe7dcoi3X7yKmtIogHotprlzV1SwpKyAWx/cozFMRSStKbiJzKOx8Rg/2tZETUmUv33t6UGXI0kKmfG6sxZzqH2AO39XH3Q5IiJTUnATmUd3//Egh7uH+Kerz6KsIC/ocmQWNiwp46ylZXzpV3up11BYIpKmFNxE5klT5wC3Pvg8Zywp5YqzdW1bJnrjuUspiIT42A93qKOCiKQlBTeReRCLOT7y/e2EDK4+d6lutpuhygry+Pjrz2TLgQ6+/YSuSRSR9BMJugCRbPDBzU/xWH0Hn/vLcxgbd+qIkMHeumkFd/72AP/4k52sqy3h4rXVQZckInKcWtxETtGuwz08uPMoG+vKeMsFy4MuR06RmXHtS1ZQWZzPe/97K88d6Qm6JBGR4xTcRE7BwMgYH/7uNoryw7zpxcv49uONQZck86AoGuFdf7aakoIIN9z1OPtae4/P061dRCRICm4ic+Sc45Yf7GBvax9/ecFyiqO68iAbxENZRVE+97z7QmLOcc1X/8Avn9XNeUUkeApuInN08+Zt3Lf9MB957QbWLy4NuhxJgScOdvLTD13K+sWl3PStp/jXX+4mpsHoRSRAaiIQmYM/7W/nF88eYWNdGeWFul9bNqsrL+TNL15GfiTEbY/s57TaEv7qJSuCLktEcpRa3ERmaXdLDzd+cyvVJVH+8oLlhHTrj6wXCYf48/OW8RfnL+Ngez9f+80+bn1wT9BliUgOUnATmYWmzgFuuOtxDHjXn62mIC8cdEmygC5YVcX7LltHzDm+8bsDPNPUFXRJIpJjFNxEktTaO8QNdz3OwMg47/yzNVQU5QddkgRgWWUhN162joK8EH995xb+5f7n1MtURBaMgptIEo50D3Lt1x/jSPcQ175kJUvKC4IuSQJUVZzPjZetI5oX4r/+cJDGjoGgSxKRHKHgJjKDxo4Brvry72jtHeaed1/ImprioEuSBTRVa1p5YR7vedlaSgoi3P3Hg+xp6Z10ORGR+aTgJjKNrQc7eNN//IHB0XG+9Z6L2LS6KuiSJI2UFeTx7kvWEAkb7/jPLTS0q+VNRFJLwU1kCt9+vIHr7nyMkmiEmy5bx67DPbqWSU5SVZzPuy9Zw8h4jGvv+BMHj/UHXZKIZDEFN5EJRsdjfOInz/KxH+7gpetqeMfFq1lUpmvaZGqLywq49z0X0TU4yl/d8Sfq2/qCLklEspSCm0iCjv4R3vGfW7jnT4e48bK1/Nc7X0Jhvm75ITPb3tjNey5dy9i4461ff4w/7j8WdEkikoUU3ER8tz64h1fd+ghbD3bylguWs7q6mO8+oUHjJXlLygt4x8WrAPjrb2zh1gf3MDYeC7gqEckmCm6SsxKvV/vFjiPc/uh+xmOO975sLS9eWRlgZZLJFpUV8MFXrOMtFyzn33+9j6u+8jt+seMI33rsUNCliUgW0FilktNiMceXHt7LVx7ey4rKQv764lWUFWjsUTk10UiYz/3lueSFQzy48yjvv/cp6soLKMgL84Zz6jTihojMmYKb5Kzh0XHef++TPLDzKOevrOSa85aSF1YjtMyfs5aWc2ZdGdsbu3jk+TY+8v3tfObnu3jrS1bw9otWsaKqKOgSRSTDKLhJTnr+aC+3Pbqf9v4RPvGGjUQjIUyDxUsKhMx48cpKzltRwZqaYu750yHueLSeOx6tZ8OSUj786tN5xRm1RCNqhRORmSm4SU5xzvHdJxr55E93Eg6FuOfdF3LJaTW6P5uknJlxsH2Ay06v5Zzl5Tx+sIOtBzu56VtPUl6YxxvOqePN5y/j/JWV+k+EiExJwU1yRkP7AP9437P8Zk8bl5xWzWXra7nktJqgy5IcVFGUz2s3LuFVZyxmX2sf2xo7+cFTTdy7pYFV1UVceXYdrz1rMectryAUUogTkReYcy7oGlJu06ZNbuvWrUGXIQHpHhjlv/54gNse2Y8D/v51G3jXJWt0qw9JK1eft5RfPtvCT55u5g/7jhFzUJwf5pVnLiYSMpZXFvKhV64nP/LCdZibtzTwtotWBli1iKSCmT3pnNs02Ty1uElWcs5x64PP0z8yxnefaGRgZJyrXrSEFy2r4D0vWxt0eSInue/pwwBceXYdl5++iD1He3j+aB9b6ttp7R0G4PZH97OutoTV1cWsrinmaM8Qa2uLWVtbzKJSje4hkgsU3CQjxa9Je9tFKxkZi3G0Z4iGjgGeP9rL7iO9/G5vG4e7h4iEjBctK+fS9TXUlRcGXLVIcgrzw5y3opLzVlRy3YUr+MrD+zjcNUhlcT57j/by5KFOHtp1lHHn+NG2ZgCWlBVw3ooKAJZXFfJ/Xn06xVF9xItkG50qlYwxNh5jd0sv25u6uO/pw7T1DtM/MkZr7zCJh3F5YR4XramiJBphw5JSSnVfNskib7toJZu3NBBzjq6BUdr7h1leWcT2xi6ebuyioWMAAAPOqCvj/JUVnL+ykvNXVbK6ukgdH0QywHSnShXcJC1t3tLA1ectZVtDJ3f9/iBDo+Nsa+xkaNQbPqggL0RtSZTa0gIqi/IoL8yjsjif9718LQ/tPKovJ8kp8evcNm9poG94jKbOARo7BmjsGKSxc4DhMe99U1GUx5qaYsZjjpeuq6a6OJ+q4ijVJfk8caCDt120kuriqMbnFQlYYMHNzK4AvgyEgW845z47Yb75868CBoB3Oueemm5dM6sCvgusBg4Cb3XOdU5Xh4JbZmjtHeLJg508cbCTB3a20NIzxHjMYcBZy8oojeaxsqqIFVVFVBblKZyJJCHmHK29w9SVF/BMUxeH2gfY3dJL9+Ao47HJP/8L88JUl+T7wc4LdzUl8d/z/XnR478X5euUrMh8CqRzgpmFga8BrwGagCfM7D7n3K6Exa4E1vs/FwG3ARfNsO4twMPOuc+a2S3+44+m6nXIqRkeG6d7cJTugVE6B0bpGhihy3/cNThC18AoLd1D7GjuPn4BdjQSYmlFIZetr2F1dTErqoo0RJDIHIXMWFJWgHPwL28+B/Ba5pxzDI/F6B8e835Gxo//3pfwuK2vl/7hLvqHxxibIujlhY3iaITi/AjrF5dQVZxPTUn0haBXnE91SZTf7z3Guy5ZTUFemLBucyIyJ6n8b9KFwD7nXD2AmX0HuAZIDG7XAPc4r9nvMTOrMLM6vNa0qda9BrjcX/+/gUdI4+DmnMM573+9Mf/fFx5709yEefHHjhfmuwnrOhKWmzAPOGnb+NuKxbx1Y86B44XnTZg2FnMMjIwxODLOwMg4g6PjDI2OMx5z7Dzcwxl1pSfUGXOOodGYF8oGRjnY3s/AyDij4zEGRsan3DfhkFEQCVFSEOGS02oYGYuxorKQpZWFREIaekpkviXeaNrMKMgLU5AXprokOuO6zjlGxmL0j4x7wW6SwNc/MkZ73wjbGqYOep9/cA8AIYNIOEReyIiEQ5jB8GgMhyMvFDr+meQSPgvxfw+HjJJohLxwiOGxGLUlUYqiYYrywxTlRyjOD1MU9f4tTHhcEAkRDhnhkBEy7yccwv/XnxYywmaEDO/348syYT1vXbP48kb8JIAZx88IWPwx5v8b/wOcPM3MTliexO0lzI9P8zZjJzyebt7E5zlh3iRnMNzx/e//Dsf/HvGTdfHvnEST1TSxtilrT6jx5GmJ28nd4J/K4LYMSLxRVhNeq9pMyyybYd3FzrkjAM65I2a2aD6Lnot7/nSQz/5i95RBLBsc/zAx4w/7jhEJv/ABNjoeIxIOUVfuXW9WUZhHXXkhRflhCvPDFOa98IFamB+mKM+brmGmRDKHmRHNCxPNC1NVnD/j8s45RsZj9A+fGOzWLy5leDTGtsZOYjHHeMwx7v/nMh5WjBeCCsBZS8t47kgPYDgcYzHHmppiRsdiPH+0l9FxR9+QFxpHxmLkR0IMjIwzMDI27X8eJbtMDKjeNJtkWny5k1eYNCROCJhfeOu5XHF23bzUPBepDG6TfSNPjDFTLZPMutM/udmNwI3+wz4z25MwuwY4Npvt5YhT2i+7Zl4kk+mYmZz2y9S0byan/TI17ZvJpdV+ufLTC/I0q6aakcrg1gSsSHi8HDic5DL506x71Mzq/Na2OqB1sid3zt0B3DHZPDPbOtVFf7lM+2Vq2jeT036ZmvbN5LRfpqZ9MzntlxOl8kKiJ4D1ZrbGzPKBa4H7JixzH3C9eS4Guv3ToNOtex9wg//7DcBPUvgaRERERNJGylrcnHNjZnYz8ADeLT3ucs7tNLOb/Pm3A/fj3QpkH97tQN413br+pj8LfM/M/hfQALwlVa9BREREJJ2k9OY7zrn78cJZ4rTbE353wAeTXdef3g686hRLm/QUqmi/TEP7ZnLaL1PTvpmc9svUtG8mp/2SICdGThARERHJBrpZloiIiEiGyOrgZmbfNbOn/Z+DZva0P321mQ0mzLs9YZ0LzGyHme0zs69Ylt5ozMw+aWbNCfvgqoR5H/Nf/x4ze13C9KzfN2b2b2a228yeMbMfmVmFPz3nj5mJzOwK/xjZ549ikjPMbIWZ/cbMnjOznWb2v/3ps35fZSP/83aHvw+2+tOqzOwhM9vr/1uZsHzW7xsz25BwXDxtZj1m9uFcPWbM7C4zazWzZxOmzfoYycnPX+/OyNn/A9wKfML/fTXw7BTLPQ68FO9ecr8Argy69hTtj08CH5lk+kZgOxAF1gD7gXCu7BvgtUDE//1fgX/VMTPpaw77x8ZavNv3bAc2Bl3XAr7+OuB8//dS4Hn/vTPr91U2/uCNI10zYdrngFv8329JeG/l1L7xX3MYaMG7V1dOHjPAZcD5iZ+rczlGcvHzN6tb3OL8BP5W4NszLFcHlDnn/uS8I+Ie4M9TX2FauQb4jnNu2Dl3AK/H74W5sm+ccw8658b8h4/h3UNwSrmyXyZxfEg759wIEB+WLic45444557yf+8FnsMb8WUqk76vUl9pWrkGb5hC/H//PGF6ru2bVwH7nXOHplkmq/eLc+63QMeEybM6RnL18zcnghvwMuCoc25vwrQ1ZrbNzB41s5f505bh3RQ4Lj4EV7a62T8leFdCk/R0w5Dl0r4BeDfe/+DidMy8YKrjJOeY2WrgxcAWf9Js3lfZygEPmtmT5o1iAxOGKwTiwxXm2r4B796kiQ0JOmY8sz1GcvLzN+ODm5n9ysyeneQn8X//13Him+QIsNI592Lgb4HNZlbGPAy1lU5m2De3AeuA8/D2x63x1SbZ1LwMQ5YukjlmzOzjwBhwrz8pJ46ZWcjV130CMysBfgB82DnXw+zfV9nqEufc+cCVwAfN7LJpls2pfWPeTeWvBr7vT9IxM7Os/16ajZTex20hOOdePd18M4sAbwYuSFhnGBj2f3/SzPYDp+Ol9cRTY5MN05UxZto3cWZ2J/Az/+FUw5Blzb5J4pi5AXgD8Cq/+T1njplZSGZIu6xmZnl4oe1e59wPAZxzRxPmJ/O+ykrOucP+v61m9iO8U3xTDVeYU/sGL8w+FT9WdMycYLbHSE5+/mZ8i1sSXg3sds4db041s1ozC/u/rwXWA/V+02yvmV3sXxd3PVk6pJb/poh7ExDv2XMfcK2ZRc1sDd6+eTxX9o2ZXQF8FLjaOTeQMD3nj5kJkhnSLmv5f+v/BJ5zzn0hYfqs3lcLVe9CMrNiMyuN/47X4edZph6uMGf2je+EM0A6Zk4wq2MkVz9/M77FLQkTryUArzfLp8xsDBgHbnLOxS+SfD9wN1CId33TL8hOnzOz8/CalQ8C7wNw3rBk3wN24Z0q/KBzbtxfJxf2zVfxei495Pcqf8w5dxM6Zk7gph+WLhdcArwD2GH+bYaAfwCum8P7KtssBn7kv38iwGbn3C/N7AkmGa4wl/aNmRUBr8E/Lnxz+SzOeGb2beByoMbMmoB/ZIohLfW9dCKNnCAiIiKSIXLhVKmIiIhIVlBwExEREckQCm4iIiIiGULBTURERCRDKLiJiIiIZAgFNxEREZEMoeAmIiIikiEU3EREREQyxP8PlCtNv6Eqp44AAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "current_rating = codechef_rank\n",
+    "current_rating.sort_values(['ratings'], ascending=False, inplace=True)\n",
+    "rate_cur = defaultdict(lambda: default_rating)\n",
+    "rate_cur.update(dict(zip(current_rating.username, current_rating.ratings)))\n",
+    "\n",
+    "plot_distribution(current_rating, f'Rating on contest {sid}')\n",
+    "\n",
+    "# Min number of contests a user needs to do before being counted in our metrics\n",
+    "min_experience_level = 3\n",
+    "default_rating = 1500\n",
+    "\n",
+    "# Makes the mean rating shift small for most users\n",
+    "rating_shift = 0 \n",
+    "\n",
+    "cc_to_mmr_dir = f'{root_dir}/elommr-checkpoints/start-from-146'\n",
+    "for contest in tqdm(checkpoint_contests[sid+1:]):    \n",
+    "    next_rating = pd.read_csv(f'{cc_to_mmr_dir}/{contest}.csv')\n",
+    "    # Translate handle ids to actual usernames\n",
+    "    next_rating['username'] = next_rating.handle.apply(lambda x: user_map[x])\n",
+    "    next_rating['ratings'] = next_rating.cur_mu + rating_shift\n",
+    "    rate_next = defaultdict(lambda: default_rating)\n",
+    "    rate_next.update(dict(zip(next_rating.username, next_rating.ratings)))\n",
+    "    \n",
+    "    rating_changes = [\n",
+    "        rate_next[name] - rate_cur[name]\n",
+    "        for name in rate_cur if rate_next[name] - rate_cur[name] != 0\n",
+    "    ]\n",
+    "    max_rating_change, min_rating_change = np.max(rating_changes), np.min(rating_changes)\n",
+    "    med_rating_change, mean_rating_change = np.median(rating_changes), np.mean(rating_changes)\n",
+    "    print(contest, min_rating_change, max_rating_change, med_rating_change, mean_rating_change)\n",
+    "    \n",
+    "    current_rating, rate_cur = next_rating, rate_next        \n",
+    "    \n",
+    "    plt.figure()\n",
+    "    data = pd.DataFrame(data={'data': rating_changes})\n",
+    "    ax = sns.distplot(data, bins=350)\n",
+    "    ax.set_title(\"Rating difference between current and previous round\")\n",
+    "    plot_distribution(next_rating, 'Elo-MMR Ratings')\n",
+    "    "
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "1197e86c-af0b-421e-8c02-3286d4b4cfc1",
+   "id": "f26a609e-afa6-46b6-9a22-f93159e54e9e",
    "metadata": {},
    "outputs": [],
    "source": []

From 588f4d0ae41b48cbae3868e395274eb81b975c0c Mon Sep 17 00:00:00 2001
From: Paul Liu <paul.liu@stanford.edu>
Date: Fri, 13 May 2022 07:28:11 +0000
Subject: [PATCH 6/6] Final experimental notebooks for CodeChef.

---
 multi-skill/src/bin/codechef_checkpoints.rs  |   54 +-
 multi-skill/src/bin/mmr_from_cc.rs           |   39 +-
 scripts/notebooks/codechef-experiments.ipynb | 1626 ++++++++++--------
 3 files changed, 961 insertions(+), 758 deletions(-)

diff --git a/multi-skill/src/bin/codechef_checkpoints.rs b/multi-skill/src/bin/codechef_checkpoints.rs
index 770a3e01..2ded86c2 100644
--- a/multi-skill/src/bin/codechef_checkpoints.rs
+++ b/multi-skill/src/bin/codechef_checkpoints.rs
@@ -1,53 +1,35 @@
 use multi_skill::data_processing::{
     get_dataset_by_name, read_csv, try_write_slice_to_file, write_json,
 };
-use multi_skill::metrics::{compute_metrics_custom, PerformanceReport};
 use multi_skill::summary::make_leaderboard;
-use multi_skill::systems::{get_rating_system_by_name, simulate_contest, Player, PlayersByName};
-
-use serde::{Deserialize, Serialize};
-use std::cell::RefCell;
-
-#[derive(Serialize, Deserialize, Clone, Debug)]
-struct SimplePlayer {
-    handle: String,
-    cur_mu: f64,
-    cur_sigma: f64,
-}
-
-fn make_checkpoint(players: Vec<SimplePlayer>) -> PlayersByName {
-    players
-        .into_iter()
-        .map(|simp| {
-            let player = Player::with_rating(simp.cur_mu, simp.cur_sigma, 0);
-            (simp.handle, RefCell::new(player))
-        })
-        .collect()
-}
+use multi_skill::systems::{simulate_contest, EloMMR, EloMMRVariant};
 
 fn main() {
     tracing_subscriber::fmt::init();
 
-    // Parse arguments, prepare rating system and datasets
-    let args: Vec<String> = std::env::args().collect();
-    if args.len() != 2 {
-        tracing::error!("Usage: {} system_name", args[0]);
-        return;
-    }
-    let system = &args[1];
-    let system = get_rating_system_by_name(system).unwrap();
     let dataset = get_dataset_by_name("codechef").unwrap();
     let mut mu_noob = 1500.;
-    let sig_noob = 350.;
+    let sig_noob = 325.;
+    let weight_limit = 0.2;
+    let sig_limit = 75.;
+    let system = EloMMR {
+        weight_limit,
+        sig_limit,
+        drift_per_sec: 0.,
+        split_ties: false,
+        subsample_size: 512,
+        subsample_bucket: 0.5,
+        variant: EloMMRVariant::Logistic(0.1),
+    };
+
     let mut players = std::collections::HashMap::new();
-    let mut avg_perf = compute_metrics_custom(&mut players, &[]);
 
     // Get list of contest names to compare with Codechef's rating system
     let paths = std::fs::read_dir("/home/work_space/elommr-data/ratings").unwrap();
     let mut checkpoints = std::collections::HashSet::<String>::new();
     for path in paths {
         if let Some(contest_name) = path.unwrap().path().file_stem() {
-            if let Some(string_name) = contest_name.to_os_string().into_string().ok() {
+            if let Ok(string_name) = contest_name.to_os_string().into_string() {
                 checkpoints.insert(string_name);
             }
         }
@@ -55,7 +37,6 @@ fn main() {
 
     // Run the contest histories and measure
     let dir = std::path::PathBuf::from("/home/work_space/elommr-data/elommr-checkpoints/codechef/");
-    let now = std::time::Instant::now();
     for (index, contest) in dataset.iter().enumerate() {
         tracing::debug!(
             "Processing\n{:6} contestants in{:5}th contest with wt={}: {}",
@@ -71,13 +52,12 @@ fn main() {
         }
 
         // Now run the actual rating update
-        simulate_contest(&mut players, &contest, &*system, mu_noob, sig_noob, index);
+        simulate_contest(&mut players, &contest, &system, mu_noob, sig_noob, index);
 
         if checkpoints.contains(&contest.name) {
             let output_file = dir.join(contest.name.clone() + ".csv");
-            let (summary, rating_data) = make_leaderboard(&players, 0);
+            let (_summary, rating_data) = make_leaderboard(&players, 0);
             try_write_slice_to_file(&rating_data, &output_file);
         }
     }
-    let secs_elapsed = now.elapsed().as_nanos() as f64 * 1e-9;
 }
diff --git a/multi-skill/src/bin/mmr_from_cc.rs b/multi-skill/src/bin/mmr_from_cc.rs
index 9067b9b8..21348eda 100644
--- a/multi-skill/src/bin/mmr_from_cc.rs
+++ b/multi-skill/src/bin/mmr_from_cc.rs
@@ -1,6 +1,8 @@
 use multi_skill::data_processing::{get_dataset_by_name, read_csv, try_write_slice_to_file};
 use multi_skill::summary::make_leaderboard;
-use multi_skill::systems::{get_rating_system_by_name, simulate_contest, Player, PlayerEvent, PlayersByName};
+use multi_skill::systems::{
+    simulate_contest, EloMMR, EloMMRVariant, Player, PlayerEvent, PlayersByName,
+};
 
 use serde::{Deserialize, Serialize};
 use std::cell::RefCell;
@@ -54,31 +56,34 @@ fn make_checkpoint(players: Vec<SimplePlayer>) -> PlayersByName {
 fn main() {
     tracing_subscriber::fmt::init();
 
-    // Parse arguments, prepare rating system and datasets
-    let args: Vec<String> = std::env::args().collect();
-    if args.len() != 2 {
-        tracing::error!("Usage: {} system_name", args[0]);
-        return;
-    }
-
     // Set up the rating system
-    let system = &args[1];
-    let system = get_rating_system_by_name(system).unwrap();
     let dataset = get_dataset_by_name("codechef").unwrap();
     let mut mu_noob = 1500.;
-    let sig_noob = 350.;
+    let sig_noob = 325.;
+    let weight_limit = 0.2;
+    let sig_limit = 75.;
+    let system = EloMMR {
+        weight_limit,
+        sig_limit,
+        drift_per_sec: 0.,
+        split_ties: false,
+        subsample_size: 512,
+        subsample_bucket: 0.5,
+        variant: EloMMRVariant::Logistic(0.1),
+    };
+
     let input_file =
-        std::path::PathBuf::from("/home/work_space/elommr-data/cc_init_condition-MARCH15-146.csv");
+        std::path::PathBuf::from("/home/work_space/elommr-data/cc_init_condition-MAY21B-516.csv");
     let summary = read_csv(input_file, true).expect("Failed to read summaries");
-    let mut players = make_checkpoint(summary).clone();
-    let contest_cutoff = 146;
+    let mut players = make_checkpoint(summary);
+    let contest_cutoff = 516;
 
     // Get list of contest names to compare with Codechef's rating system
     let paths = std::fs::read_dir("/home/work_space/elommr-data/ratings").unwrap();
     let mut checkpoints = std::collections::HashSet::<String>::new();
     for path in paths {
         if let Some(contest_name) = path.unwrap().path().file_stem() {
-            if let Some(string_name) = contest_name.to_os_string().into_string().ok() {
+            if let Ok(string_name) = contest_name.to_os_string().into_string() {
                 checkpoints.insert(string_name);
             }
         }
@@ -86,7 +91,7 @@ fn main() {
 
     // Run the contest histories and measure
     let dir =
-        std::path::PathBuf::from("/home/work_space/elommr-data/elommr-checkpoints/start-from-146/");
+        std::path::PathBuf::from("/home/work_space/elommr-data/elommr-checkpoints/start-from-516/");
     for (index, contest) in dataset.iter().enumerate() {
         if index <= contest_cutoff {
             continue;
@@ -106,7 +111,7 @@ fn main() {
         }
 
         // Now run the actual rating update
-        simulate_contest(&mut players, &contest, &*system, mu_noob, sig_noob, index);
+        simulate_contest(&mut players, &contest, &system, mu_noob, sig_noob, index);
 
         if checkpoints.contains(&contest.name) {
             let output_file = dir.join(contest.name.clone() + ".csv");
diff --git a/scripts/notebooks/codechef-experiments.ipynb b/scripts/notebooks/codechef-experiments.ipynb
index e1222f5c..807a5890 100644
--- a/scripts/notebooks/codechef-experiments.ipynb
+++ b/scripts/notebooks/codechef-experiments.ipynb
@@ -3,7 +3,9 @@
   {
    "cell_type": "markdown",
    "id": "0998fc89-b4ac-4100-b963-6f80d226ce1b",
-   "metadata": {},
+   "metadata": {
+    "tags": []
+   },
    "source": [
     "# Comparative study of Elo-MMR vs. The CodeChef Rating Sytem"
    ]
@@ -13,21 +15,27 @@
    "id": "ba515b61-ed9a-4e01-bf3c-c5daa674c9b9",
    "metadata": {},
    "source": [
-    "In this notebook, we look at the Elo-MMR vs. CodeChef Rating System across the history of CodeChef contests. As detailed in our [paper](https://github.com/EbTech/Elo-MMR/tree/master/paper), Elo-MMR is a robust, statiscally principled rating system for massive multiplayer contests. We developed this system primarily with coding competitions in mind, and have done extensive comparisons with the TopCoder and CodeChef rating systems. The main benefits of Elo-MMR are:\n",
+    "In this notebook, we compare the Elo-MMR and CodeChef tating systems across the history of CodeChef contests. As detailed in our [paper](https://github.com/EbTech/Elo-MMR/tree/master/paper), Elo-MMR is a robust, statiscally principled rating system for massive multiplayer contests. We developed this system primarily with coding competitions in mind, and have done extensive comparisons with the Topcoder and CodeChef rating systems. The main benefits of Elo-MMR are:\n",
     "- Speed and accuracy. Elo-MMR is at least an order of magnitude (typically more) faster than existing rating systems, and more accurate as well.\n",
-    "- Incentive-compatibility. Elo-MMR does not incentivize players to perform less than their best (unlike TopCoder and CodeChef, which can be attacked through so-called \"volatility farming\" attacks).\n",
+    "- Incentive-compatibility. Elo-MMR does not incentivize players to perform less than their best (unlike Topcoder and CodeChef, which can be attacked through so-called \"volatility farming\" attacks).\n",
     "- Transparency. The entire codebase is open-source, and can be found [here](https://github.com/EbTech/Elo-MMR).\n",
+    "- Robustness. Elo-MMR does not severely penalize players for a single bad day.\n",
     "\n",
     "At the present moment, Elo-MMR has been implemented in production at [dmoj.ca](dmoj.ca), a contest system used primarily by Canadian competitive programmers. Our goal with this notebook will be to verify the above benefits on the CodeChef contest data, and to inform a transition from the CodeChef rating system to Elo-MMR. "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 723,
+   "execution_count": 1093,
    "id": "ba9c365e-8724-4a22-b7c1-f5fcc9ddad06",
    "metadata": {},
    "outputs": [],
    "source": [
+    "# First, generate the data by running on the command line:\n",
+    "# cd multi-skill\n",
+    "# RUST_LOG=debug cargo run --release --bin codechef_checkpoints\n",
+    "# RUST_LOG=debug cargo run --release --bin mmr_from_cc\n",
+    "\n",
     "import warnings\n",
     "warnings.simplefilter(action='ignore', category=FutureWarning)\n",
     "\n",
@@ -42,35 +50,20 @@
    "metadata": {},
    "source": [
     "First, we do some data cleaning / preprocessing. The code below will read the following:\n",
-    "- All CodeChef contests since it's inception\n",
+    "- All CodeChef contests since its inception\n",
     "- Monthly checkpoints of CodeChef ratings\n",
     "- Monthly checkpoints of Elo-MMR ratings\n",
     "- Various metadata (contest times, CodeChef numerical handles, etc.)\n",
     "\n",
-    "The monthly checkpoints were computed from our rust codebase using the `codechef_checkpoints.rs` file. The entire CodeChef history of 667 contests (at the time of writing) took approximately 27 seconds to complete using our `mmr-fast` algorithm."
+    "The monthly checkpoints were computed from our Rust codebase using the `codechef_checkpoints.rs` file. The entire CodeChef history of 667 contests (at the time of writing) took approximately 27 seconds to process using our `mmr-fast` algorithm."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 724,
-   "id": "3fb6a0be-393c-4a13-a8a6-f1c240182814",
+   "execution_count": 1094,
+   "id": "07e47455-6397-4526-9fee-7ec20e123c97",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "application/vnd.jupyter.widget-view+json": {
-       "model_id": "27868f805ca84965853d9170eead52fc",
-       "version_major": 2,
-       "version_minor": 0
-      },
-      "text/plain": [
-       "  0%|          | 0/689 [00:00<?, ?it/s]"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "from collections import defaultdict, Counter\n",
     "import json\n",
@@ -99,9 +92,41 @@
     "all_contests = [contest for contest in os.listdir(raw_contests) if contest[-5:] == '.json']\n",
     "all_contests = sorted(all_contests, key=lambda x: int(x[:-5]))\n",
     "\n",
+    "# Get list of cheaters and active users. These will be the users we measure our rating system on\n",
+    "actives = pd.read_csv(f'{root_dir}/CodeChefActiveUsers.csv')\n",
+    "cheaters = pd.read_csv(f'{root_dir}/CodeChefCheatersList.csv')\n",
+    "filtered_users = set(actives.username) - set(cheaters.username)\n",
+    "\n",
+    "# Create helper functions for filtering out users we care about\n",
+    "def filter_users(df):\n",
+    "    return df[df['username'].isin(filtered_users)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1095,
+   "id": "f1252463-416d-410a-9199-effe9b8950de",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "8527118bbc9f47bca9f68cefa9008b1f",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "  0%|          | 0/689 [00:00<?, ?it/s]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
     "# Go through history of contests and get number of contests participated in by each user\n",
     "# Also compute some mappings of contest names to contest ids\n",
-    "num_contests = Counter()\n",
+    "num_contests = defaultdict(int)\n",
     "for contest in tqdm(all_contests):\n",
     "    ranks = json.load(open(f'{raw_contests}/{contest}'))\n",
     "    cid = int(contest[:-5])\n",
@@ -111,7 +136,9 @@
     "    id_to_name[cid] = contest_name\n",
     "    name_to_time[contest_name] = ranks['time_seconds']\n",
     "    \n",
-    "    num_contests.update([user_map[int(r[0])] for r in ranks['standings']])\n",
+    "    for user in [user_map[int(r[0])] for r in ranks['standings']]:\n",
+    "        num_contests[user] += 1\n",
+    "        \n",
     "    if contest_name in checkpoint_contests:\n",
     "        # Save number of contests participated in by each user\n",
     "        df = pd.DataFrame(data={'username': list(num_contests.keys()), 'num_contests': list(num_contests.values())})\n",
@@ -140,14 +167,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 725,
+   "execution_count": 1143,
    "id": "678d6f6b-0f18-4b4e-a40c-c3ce4ca6a779",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "6edaaf97152344fbbb4442ddcc3b7897",
+       "model_id": "5aa648dd521749cbbfdc9fdfe843795b",
        "version_major": 2,
        "version_minor": 0
       },
@@ -162,7 +189,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Ranking deviation percentage (mmr vs. cc): 0.17803338763907314 0.1937954106820019\n"
+      "Ranking deviation percentage (mmr vs. cc): 0.1813299979858752 0.1937954106820019\n"
      ]
     }
    ],
@@ -202,6 +229,7 @@
     "    mmr_rank = pd.read_csv(f'{elommr_dir}/{contest}.csv')\n",
     "    # Translate handle ids to actual usernames\n",
     "    mmr_rank.handle = mmr_rank.handle.apply(lambda x: user_map[x])\n",
+    "    mmr_rank['username'] = mmr_rank.handle\n",
     "    rate_name_mmr = defaultdict(lambda: default_rating)\n",
     "    rate_name_mmr.update(dict(zip(mmr_rank.handle, mmr_rank.display_rating)))\n",
     "    \n",
@@ -220,13 +248,14 @@
     "    \n",
     "    # Get the number of contests each user has participated in thus far\n",
     "    num_contest_csv = pd.read_csv(f'{elommr_dir}/{contest}_numcontests.csv')\n",
-    "    num_contests = dict(zip(num_contest_csv.username, num_contest_csv.num_contests))\n",
+    "    num_contests = defaultdict(int)\n",
+    "    num_contests.update(dict(zip(num_contest_csv.username, num_contest_csv.num_contests)))\n",
     "    \n",
     "    # Compute various statistics over users that have participated in at least 3 contests\n",
     "    num_participants = len(ranks['standings'])\n",
     "    for result in ranks['standings']:\n",
     "        user = user_map[int(result[0])]\n",
-    "        if user not in num_contests or num_contests[user] < min_experience_level:\n",
+    "        if num_contests[user] < min_experience_level:\n",
     "            # Note: num_contests includes the current contest, so an entry of 3 indicates 2 contests have been done\n",
     "            # before the current one\n",
     "            continue\n",
@@ -247,7 +276,7 @@
    "id": "9d12fe59-7735-4025-9ad5-e979180b586a",
    "metadata": {},
    "source": [
-    "As expected, the Elo-MMR algorithm is slightly more accurate with a lower ranking deviation metric."
+    "As expected, the Elo-MMR algorithm is slightly more accurate with a ~6.5% lower ranking deviation metric."
    ]
   },
   {
@@ -263,18 +292,18 @@
    "id": "1d0d6398-51af-465e-b72b-e0e8ce9ebaef",
    "metadata": {},
    "source": [
-    "Next, we'll plot the distribution of the ratings. The code below does this. In addition, it plots the ratings of the top-3 participants according to the rating system."
+    "Next, we'll plot the distribution of the ratings. The code below does this. In addition, it plots the ratings of the top k participants according to the rating system."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 726,
+   "execution_count": 1146,
    "id": "d49276a5-31ec-42ac-9878-d23019770135",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -286,7 +315,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -310,18 +339,21 @@
     "\n",
     "xlo, xhi = 0, 4500\n",
     "ylo, yhi = 0, 0.004\n",
-    "def plot_top_k(rankings, k=3):\n",
+    "def plot_top_k(rankings, k=6):\n",
     "    cmap = cm.get_cmap('summer')\n",
     "    for i in range(k):\n",
     "        col = cmap((i+1/2)/k)\n",
     "        plt.axvline(rankings.ratings.iloc[i], label=rankings.username.iloc[i], color=col)\n",
     "    plt.legend()\n",
     "        \n",
-    "def plot_distribution(rankings, title):\n",
-    "    plt.figure()\n",
-    "    data = pd.DataFrame(data={'data': rankings.ratings})\n",
+    "def plot_distribution(rankings, title, ax=None, k=6):\n",
+    "    if not ax:\n",
+    "        plt.figure()\n",
+    "    # Filter out cheaters and non-active users\n",
+    "    filtered = filter_users(rankings)\n",
+    "    data = pd.DataFrame(data={'data': filtered.ratings})\n",
     "    ax = sns.distplot(data, bins=250)\n",
-    "    plot_top_k(rankings)\n",
+    "    plot_top_k(rankings, k)\n",
     "    ax.set_xlim([xlo, xhi]);\n",
     "    ax.set_ylim([ylo, yhi]);\n",
     "    ax.set_title(title);\n",
@@ -351,12 +383,12 @@
    "id": "81be551f-24c1-4abd-9c36-3b616f3c686f",
    "metadata": {},
    "source": [
-    "Let's first take a look at the raw ranklists of the top 50. On the left we have CodeChef, and on the right we have Elo-MMR. We see many common names (in green) between the two lists. In fact, almost 70% of the top-50 list overlaps. "
+    "Let's first take a look at the raw ranklists of the top 50. On the left we have CodeChef, and on the right we have Elo-MMR. We see many common names (in green) between the two lists. In fact, almost 75% of the top-50 list overlaps. "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 727,
+   "execution_count": 1150,
    "id": "29042084-070b-4c82-ad0a-3516443e4585",
    "metadata": {
     "tags": []
@@ -367,36 +399,25 @@
      "output_type": "stream",
      "text": [
       "Overlapping top-50 players:\n",
-      "{'lhic', 'peehs_moorhsum', 'progmatic', 'ACRush', 'msm1993', 'kutengine', 'lyrically', 'isaf27', 'gorre_morre', 'spycheese', 'rns5', 'alex_2oo8', 'heno239', 'mugurelionut', 'oilhun', 'ccz181078', 'ceilks', 'kut_hbi1998', 'ksun48', 'rns4', 'neal', 'maksim1744', 'kal013', 'petr', 'endagorion', 'maroonrk', 'tmwilliamlin', 'white2302', 'sansen', 'bigbag', 'geothermal', 'gennady.korotkevich', 'um_nik', 'noimi'}\n",
-      "Size of overlap: 34 \n",
-      "\n",
-      "Unique Elo-MMR players: {'skyfire', 'tute7627', 'wrong_answer_1', 'lebron', 'hitonanode', 'ssrs', 'zhouyuyang', 'grumpy_gordon', 'kotatsugame', 'risujiroh', 'zhouyuchen', 'vercingetorix', 'krismaz', 'uwi', 'argos', 'natsugiri'}\n",
-      "Unique CodeChef players: {'waterfalls', 'hh_algos', 'stonefeang', 'kut_hgs1997', 'fjzzq2002', 'ecnerwala', 'ryodan', 'algmyr', 'Fdg', 'iafir', 'tmyklebu', 'dj3500', 'gainullinildar', 'aawisong', 'he_____he', 'b524'}\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/opt/conda/lib/python3.7/site-packages/pandas/core/frame.py:5047: SettingWithCopyWarning: \n",
-      "A value is trying to be set on a copy of a slice from a DataFrame\n",
+      "{'tute7627', 'peehs_moorhsum', 'risujiroh', 'progmatic', 'vercingetorix', 'uwi', 'natsugiri', 'ssrs', 'grumpy_gordon', 'akatorihasi180', 'lyrically', 'isaf27', 'spycheese', 'alex_2oo8', 'b524', 'bench0310', 'kotatsugame', 'heno239', 'ecnerwala', 'oilhun', 'ksun48', 'argos', 'neal', 'maksim1744', 'kal013', 'petr', 'EgorK', 'html_sanek', 'endagorion', 'maroonrk', 'tmwilliamlin', 'sansen', 'bigbag', 'geothermal', 'gennady.korotkevich', 'noimi', 'zemen'}\n",
+      "Size of overlap: 37 \n",
       "\n",
-      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
-      "  errors=errors,\n"
+      "Unique Elo-MMR players: {'tabr', 'tiago_marques', 'scheffeli', 'wasa855', 'celesta', 'hitonanode', 'rns_cus', 'icecuber', 'rubikun', 'potato167', 'xaphoenix', 'krismaz', 'jeroenodb'}\n",
+      "Unique CodeChef players: {'nyaan', 'moransky', 'satashun', 'jijiang', 'Oleg', 'stonefeang', 'kut_hgs1997', 'fjzzq2002', 'tlatoani', 'jtnydv25', 'dreamoon4', 'bthero', 'anton_trygub'}\n"
      ]
     },
     {
      "data": {
       "text/html": [
        "<style type=\"text/css\">\n",
-       "#T_b724f_row0_col0, #T_b724f_row0_col1, #T_b724f_row0_col2, #T_b724f_row0_col3, #T_b724f_row1_col0, #T_b724f_row1_col1, #T_b724f_row1_col2, #T_b724f_row1_col3, #T_b724f_row2_col0, #T_b724f_row2_col1, #T_b724f_row2_col2, #T_b724f_row2_col3, #T_b724f_row3_col0, #T_b724f_row3_col1, #T_b724f_row3_col2, #T_b724f_row3_col3, #T_b724f_row4_col0, #T_b724f_row4_col1, #T_b724f_row4_col2, #T_b724f_row4_col3, #T_b724f_row5_col0, #T_b724f_row5_col1, #T_b724f_row5_col2, #T_b724f_row5_col3, #T_b724f_row6_col0, #T_b724f_row6_col1, #T_b724f_row6_col2, #T_b724f_row6_col3, #T_b724f_row7_col0, #T_b724f_row7_col1, #T_b724f_row7_col2, #T_b724f_row7_col3, #T_b724f_row8_col0, #T_b724f_row8_col1, #T_b724f_row8_col2, #T_b724f_row8_col3, #T_b724f_row9_col0, #T_b724f_row9_col1, #T_b724f_row9_col2, #T_b724f_row9_col3, #T_b724f_row10_col0, #T_b724f_row10_col1, #T_b724f_row10_col2, #T_b724f_row10_col3, #T_b724f_row11_col2, #T_b724f_row11_col3, #T_b724f_row12_col0, #T_b724f_row12_col1, #T_b724f_row12_col2, #T_b724f_row12_col3, #T_b724f_row13_col0, #T_b724f_row13_col1, #T_b724f_row13_col2, #T_b724f_row13_col3, #T_b724f_row14_col0, #T_b724f_row14_col1, #T_b724f_row15_col0, #T_b724f_row15_col1, #T_b724f_row15_col2, #T_b724f_row15_col3, #T_b724f_row16_col0, #T_b724f_row16_col1, #T_b724f_row16_col2, #T_b724f_row16_col3, #T_b724f_row17_col0, #T_b724f_row17_col1, #T_b724f_row18_col0, #T_b724f_row18_col1, #T_b724f_row18_col2, #T_b724f_row18_col3, #T_b724f_row19_col2, #T_b724f_row19_col3, #T_b724f_row20_col0, #T_b724f_row20_col1, #T_b724f_row20_col2, #T_b724f_row20_col3, #T_b724f_row22_col0, #T_b724f_row22_col1, #T_b724f_row22_col2, #T_b724f_row22_col3, #T_b724f_row23_col2, #T_b724f_row23_col3, #T_b724f_row24_col0, #T_b724f_row24_col1, #T_b724f_row24_col2, #T_b724f_row24_col3, #T_b724f_row26_col2, #T_b724f_row26_col3, #T_b724f_row27_col0, #T_b724f_row27_col1, #T_b724f_row28_col0, #T_b724f_row28_col1, #T_b724f_row28_col2, #T_b724f_row28_col3, #T_b724f_row30_col0, #T_b724f_row30_col1, #T_b724f_row30_col2, #T_b724f_row30_col3, #T_b724f_row31_col0, #T_b724f_row31_col1, #T_b724f_row33_col0, #T_b724f_row33_col1, #T_b724f_row33_col2, #T_b724f_row33_col3, #T_b724f_row34_col0, #T_b724f_row34_col1, #T_b724f_row34_col2, #T_b724f_row34_col3, #T_b724f_row35_col2, #T_b724f_row35_col3, #T_b724f_row36_col0, #T_b724f_row36_col1, #T_b724f_row38_col2, #T_b724f_row38_col3, #T_b724f_row39_col0, #T_b724f_row39_col1, #T_b724f_row40_col0, #T_b724f_row40_col1, #T_b724f_row41_col0, #T_b724f_row41_col1, #T_b724f_row41_col2, #T_b724f_row41_col3, #T_b724f_row43_col0, #T_b724f_row43_col1, #T_b724f_row45_col0, #T_b724f_row45_col1, #T_b724f_row45_col2, #T_b724f_row45_col3, #T_b724f_row47_col2, #T_b724f_row47_col3, #T_b724f_row48_col0, #T_b724f_row48_col1, #T_b724f_row48_col2, #T_b724f_row48_col3, #T_b724f_row49_col2, #T_b724f_row49_col3 {\n",
+       "#T_26b0c_row0_col0, #T_26b0c_row0_col1, #T_26b0c_row0_col2, #T_26b0c_row0_col3, #T_26b0c_row1_col0, #T_26b0c_row1_col1, #T_26b0c_row1_col2, #T_26b0c_row1_col3, #T_26b0c_row2_col0, #T_26b0c_row2_col1, #T_26b0c_row2_col2, #T_26b0c_row2_col3, #T_26b0c_row3_col0, #T_26b0c_row3_col1, #T_26b0c_row3_col2, #T_26b0c_row3_col3, #T_26b0c_row4_col0, #T_26b0c_row4_col1, #T_26b0c_row4_col2, #T_26b0c_row4_col3, #T_26b0c_row5_col0, #T_26b0c_row5_col1, #T_26b0c_row5_col2, #T_26b0c_row5_col3, #T_26b0c_row6_col0, #T_26b0c_row6_col1, #T_26b0c_row6_col2, #T_26b0c_row6_col3, #T_26b0c_row7_col0, #T_26b0c_row7_col1, #T_26b0c_row7_col2, #T_26b0c_row7_col3, #T_26b0c_row8_col0, #T_26b0c_row8_col1, #T_26b0c_row8_col2, #T_26b0c_row8_col3, #T_26b0c_row9_col0, #T_26b0c_row9_col1, #T_26b0c_row9_col2, #T_26b0c_row9_col3, #T_26b0c_row10_col0, #T_26b0c_row10_col1, #T_26b0c_row10_col2, #T_26b0c_row10_col3, #T_26b0c_row11_col0, #T_26b0c_row11_col1, #T_26b0c_row12_col0, #T_26b0c_row12_col1, #T_26b0c_row12_col2, #T_26b0c_row12_col3, #T_26b0c_row13_col2, #T_26b0c_row13_col3, #T_26b0c_row14_col0, #T_26b0c_row14_col1, #T_26b0c_row14_col2, #T_26b0c_row14_col3, #T_26b0c_row15_col0, #T_26b0c_row15_col1, #T_26b0c_row16_col0, #T_26b0c_row16_col1, #T_26b0c_row17_col0, #T_26b0c_row17_col1, #T_26b0c_row17_col2, #T_26b0c_row17_col3, #T_26b0c_row18_col0, #T_26b0c_row18_col1, #T_26b0c_row18_col2, #T_26b0c_row18_col3, #T_26b0c_row19_col2, #T_26b0c_row19_col3, #T_26b0c_row20_col0, #T_26b0c_row20_col1, #T_26b0c_row20_col2, #T_26b0c_row20_col3, #T_26b0c_row21_col0, #T_26b0c_row21_col1, #T_26b0c_row21_col2, #T_26b0c_row21_col3, #T_26b0c_row22_col0, #T_26b0c_row22_col1, #T_26b0c_row22_col2, #T_26b0c_row22_col3, #T_26b0c_row23_col0, #T_26b0c_row23_col1, #T_26b0c_row23_col2, #T_26b0c_row23_col3, #T_26b0c_row24_col2, #T_26b0c_row24_col3, #T_26b0c_row25_col0, #T_26b0c_row25_col1, #T_26b0c_row26_col0, #T_26b0c_row26_col1, #T_26b0c_row26_col2, #T_26b0c_row26_col3, #T_26b0c_row27_col0, #T_26b0c_row27_col1, #T_26b0c_row27_col2, #T_26b0c_row27_col3, #T_26b0c_row28_col0, #T_26b0c_row28_col1, #T_26b0c_row28_col2, #T_26b0c_row28_col3, #T_26b0c_row29_col0, #T_26b0c_row29_col1, #T_26b0c_row30_col0, #T_26b0c_row30_col1, #T_26b0c_row31_col0, #T_26b0c_row31_col1, #T_26b0c_row31_col2, #T_26b0c_row31_col3, #T_26b0c_row32_col0, #T_26b0c_row32_col1, #T_26b0c_row32_col2, #T_26b0c_row32_col3, #T_26b0c_row33_col2, #T_26b0c_row33_col3, #T_26b0c_row34_col0, #T_26b0c_row34_col1, #T_26b0c_row35_col2, #T_26b0c_row35_col3, #T_26b0c_row36_col2, #T_26b0c_row36_col3, #T_26b0c_row37_col2, #T_26b0c_row37_col3, #T_26b0c_row38_col2, #T_26b0c_row38_col3, #T_26b0c_row40_col0, #T_26b0c_row40_col1, #T_26b0c_row40_col2, #T_26b0c_row40_col3, #T_26b0c_row42_col0, #T_26b0c_row42_col1, #T_26b0c_row42_col2, #T_26b0c_row42_col3, #T_26b0c_row43_col0, #T_26b0c_row43_col1, #T_26b0c_row44_col0, #T_26b0c_row44_col1, #T_26b0c_row45_col2, #T_26b0c_row45_col3, #T_26b0c_row46_col0, #T_26b0c_row46_col1, #T_26b0c_row47_col0, #T_26b0c_row47_col1, #T_26b0c_row47_col2, #T_26b0c_row47_col3, #T_26b0c_row48_col2, #T_26b0c_row48_col3 {\n",
        "  background-color: lightgreen;\n",
        "}\n",
-       "#T_b724f_row11_col0, #T_b724f_row11_col1, #T_b724f_row14_col2, #T_b724f_row14_col3, #T_b724f_row17_col2, #T_b724f_row17_col3, #T_b724f_row19_col0, #T_b724f_row19_col1, #T_b724f_row21_col0, #T_b724f_row21_col1, #T_b724f_row21_col2, #T_b724f_row21_col3, #T_b724f_row23_col0, #T_b724f_row23_col1, #T_b724f_row25_col0, #T_b724f_row25_col1, #T_b724f_row25_col2, #T_b724f_row25_col3, #T_b724f_row26_col0, #T_b724f_row26_col1, #T_b724f_row27_col2, #T_b724f_row27_col3, #T_b724f_row29_col0, #T_b724f_row29_col1, #T_b724f_row29_col2, #T_b724f_row29_col3, #T_b724f_row31_col2, #T_b724f_row31_col3, #T_b724f_row32_col0, #T_b724f_row32_col1, #T_b724f_row32_col2, #T_b724f_row32_col3, #T_b724f_row35_col0, #T_b724f_row35_col1, #T_b724f_row36_col2, #T_b724f_row36_col3, #T_b724f_row37_col0, #T_b724f_row37_col1, #T_b724f_row37_col2, #T_b724f_row37_col3, #T_b724f_row38_col0, #T_b724f_row38_col1, #T_b724f_row39_col2, #T_b724f_row39_col3, #T_b724f_row40_col2, #T_b724f_row40_col3, #T_b724f_row42_col0, #T_b724f_row42_col1, #T_b724f_row42_col2, #T_b724f_row42_col3, #T_b724f_row43_col2, #T_b724f_row43_col3, #T_b724f_row44_col0, #T_b724f_row44_col1, #T_b724f_row44_col2, #T_b724f_row44_col3, #T_b724f_row46_col0, #T_b724f_row46_col1, #T_b724f_row46_col2, #T_b724f_row46_col3, #T_b724f_row47_col0, #T_b724f_row47_col1, #T_b724f_row49_col0, #T_b724f_row49_col1 {\n",
+       "#T_26b0c_row11_col2, #T_26b0c_row11_col3, #T_26b0c_row13_col0, #T_26b0c_row13_col1, #T_26b0c_row15_col2, #T_26b0c_row15_col3, #T_26b0c_row16_col2, #T_26b0c_row16_col3, #T_26b0c_row19_col0, #T_26b0c_row19_col1, #T_26b0c_row24_col0, #T_26b0c_row24_col1, #T_26b0c_row25_col2, #T_26b0c_row25_col3, #T_26b0c_row29_col2, #T_26b0c_row29_col3, #T_26b0c_row30_col2, #T_26b0c_row30_col3, #T_26b0c_row33_col0, #T_26b0c_row33_col1, #T_26b0c_row34_col2, #T_26b0c_row34_col3, #T_26b0c_row35_col0, #T_26b0c_row35_col1, #T_26b0c_row36_col0, #T_26b0c_row36_col1, #T_26b0c_row37_col0, #T_26b0c_row37_col1, #T_26b0c_row38_col0, #T_26b0c_row38_col1, #T_26b0c_row39_col0, #T_26b0c_row39_col1, #T_26b0c_row39_col2, #T_26b0c_row39_col3, #T_26b0c_row41_col0, #T_26b0c_row41_col1, #T_26b0c_row41_col2, #T_26b0c_row41_col3, #T_26b0c_row43_col2, #T_26b0c_row43_col3, #T_26b0c_row44_col2, #T_26b0c_row44_col3, #T_26b0c_row45_col0, #T_26b0c_row45_col1, #T_26b0c_row46_col2, #T_26b0c_row46_col3, #T_26b0c_row48_col0, #T_26b0c_row48_col1, #T_26b0c_row49_col0, #T_26b0c_row49_col1, #T_26b0c_row49_col2, #T_26b0c_row49_col3 {\n",
        "  background-color: lightyellow;\n",
        "}\n",
        "</style>\n",
-       "<table id=\"T_b724f_\">\n",
+       "<table id=\"T_26b0c_\">\n",
        "  <thead>\n",
        "    <tr>\n",
        "      <th class=\"blank level0\" >&nbsp;</th>\n",
@@ -408,360 +429,360 @@
        "  </thead>\n",
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-       "      <td id=\"T_b724f_row0_col3\" class=\"data row0 col3\" >3752</td>\n",
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+       "      <td id=\"T_26b0c_row0_col2\" class=\"data row0 col2\" >gennady.korotkevich</td>\n",
+       "      <td id=\"T_26b0c_row0_col3\" class=\"data row0 col3\" >3141</td>\n",
        "    </tr>\n",
        "    <tr>\n",
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-       "      <td id=\"T_b724f_row1_col3\" class=\"data row1 col3\" >3621</td>\n",
+       "      <th id=\"T_26b0c_level0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
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+       "      <td id=\"T_26b0c_row1_col3\" class=\"data row1 col3\" >3064</td>\n",
        "    </tr>\n",
        "    <tr>\n",
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-       "      <td id=\"T_b724f_row2_col0\" class=\"data row2 col0\" >ACRush</td>\n",
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-       "      <td id=\"T_b724f_row2_col2\" class=\"data row2 col2\" >ksun48</td>\n",
-       "      <td id=\"T_b724f_row2_col3\" class=\"data row2 col3\" >3549</td>\n",
+       "      <th id=\"T_26b0c_level0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
+       "      <td id=\"T_26b0c_row2_col0\" class=\"data row2 col0\" >lyrically</td>\n",
+       "      <td id=\"T_26b0c_row2_col1\" class=\"data row2 col1\" >3046</td>\n",
+       "      <td id=\"T_26b0c_row2_col2\" class=\"data row2 col2\" >ksun48</td>\n",
+       "      <td id=\"T_26b0c_row2_col3\" class=\"data row2 col3\" >3008</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
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-       "      <td id=\"T_b724f_row3_col2\" class=\"data row3 col2\" >mugurelionut</td>\n",
-       "      <td id=\"T_b724f_row3_col3\" class=\"data row3 col3\" >3422</td>\n",
+       "      <th id=\"T_26b0c_level0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
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+       "      <td id=\"T_26b0c_row3_col3\" class=\"data row3 col3\" >2921</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
-       "      <td id=\"T_b724f_row4_col0\" class=\"data row4 col0\" >lyrically</td>\n",
-       "      <td id=\"T_b724f_row4_col1\" class=\"data row4 col1\" >3046</td>\n",
-       "      <td id=\"T_b724f_row4_col2\" class=\"data row4 col2\" >lyrically</td>\n",
-       "      <td id=\"T_b724f_row4_col3\" class=\"data row4 col3\" >3358</td>\n",
+       "      <th id=\"T_26b0c_level0_row4\" class=\"row_heading level0 row4\" >4</th>\n",
+       "      <td id=\"T_26b0c_row4_col0\" class=\"data row4 col0\" >petr</td>\n",
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+       "      <td id=\"T_26b0c_row4_col2\" class=\"data row4 col2\" >lyrically</td>\n",
+       "      <td id=\"T_26b0c_row4_col3\" class=\"data row4 col3\" >2899</td>\n",
        "    </tr>\n",
        "    <tr>\n",
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-       "      <td id=\"T_b724f_row5_col0\" class=\"data row5 col0\" >kutengine</td>\n",
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-       "      <td id=\"T_b724f_row5_col3\" class=\"data row5 col3\" >3340</td>\n",
+       "      <th id=\"T_26b0c_level0_row5\" class=\"row_heading level0 row5\" >5</th>\n",
+       "      <td id=\"T_26b0c_row5_col0\" class=\"data row5 col0\" >peehs_moorhsum</td>\n",
+       "      <td id=\"T_26b0c_row5_col1\" class=\"data row5 col1\" >2971</td>\n",
+       "      <td id=\"T_26b0c_row5_col2\" class=\"data row5 col2\" >petr</td>\n",
+       "      <td id=\"T_26b0c_row5_col3\" class=\"data row5 col3\" >2885</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
-       "      <td id=\"T_b724f_row6_col0\" class=\"data row6 col0\" >ksun48</td>\n",
-       "      <td id=\"T_b724f_row6_col1\" class=\"data row6 col1\" >3033</td>\n",
-       "      <td id=\"T_b724f_row6_col2\" class=\"data row6 col2\" >ceilks</td>\n",
-       "      <td id=\"T_b724f_row6_col3\" class=\"data row6 col3\" >3308</td>\n",
+       "      <th id=\"T_26b0c_level0_row6\" class=\"row_heading level0 row6\" >6</th>\n",
+       "      <td id=\"T_26b0c_row6_col0\" class=\"data row6 col0\" >progmatic</td>\n",
+       "      <td id=\"T_26b0c_row6_col1\" class=\"data row6 col1\" >2935</td>\n",
+       "      <td id=\"T_26b0c_row6_col2\" class=\"data row6 col2\" >peehs_moorhsum</td>\n",
+       "      <td id=\"T_26b0c_row6_col3\" class=\"data row6 col3\" >2857</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
-       "      <td id=\"T_b724f_row7_col0\" class=\"data row7 col0\" >petr</td>\n",
-       "      <td id=\"T_b724f_row7_col1\" class=\"data row7 col1\" >3020</td>\n",
-       "      <td id=\"T_b724f_row7_col2\" class=\"data row7 col2\" >peehs_moorhsum</td>\n",
-       "      <td id=\"T_b724f_row7_col3\" class=\"data row7 col3\" >3297</td>\n",
+       "      <th id=\"T_26b0c_level0_row7\" class=\"row_heading level0 row7\" >7</th>\n",
+       "      <td id=\"T_26b0c_row7_col0\" class=\"data row7 col0\" >b524</td>\n",
+       "      <td id=\"T_26b0c_row7_col1\" class=\"data row7 col1\" >2910</td>\n",
+       "      <td id=\"T_26b0c_row7_col2\" class=\"data row7 col2\" >heno239</td>\n",
+       "      <td id=\"T_26b0c_row7_col3\" class=\"data row7 col3\" >2860</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
-       "      <td id=\"T_b724f_row8_col0\" class=\"data row8 col0\" >peehs_moorhsum</td>\n",
-       "      <td id=\"T_b724f_row8_col1\" class=\"data row8 col1\" >2971</td>\n",
-       "      <td id=\"T_b724f_row8_col2\" class=\"data row8 col2\" >noimi</td>\n",
-       "      <td id=\"T_b724f_row8_col3\" class=\"data row8 col3\" >3274</td>\n",
+       "      <th id=\"T_26b0c_level0_row8\" class=\"row_heading level0 row8\" >8</th>\n",
+       "      <td id=\"T_26b0c_row8_col0\" class=\"data row8 col0\" >neal</td>\n",
+       "      <td id=\"T_26b0c_row8_col1\" class=\"data row8 col1\" >2898</td>\n",
+       "      <td id=\"T_26b0c_row8_col2\" class=\"data row8 col2\" >noimi</td>\n",
+       "      <td id=\"T_26b0c_row8_col3\" class=\"data row8 col3\" >2841</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
-       "      <td id=\"T_b724f_row9_col0\" class=\"data row9 col0\" >progmatic</td>\n",
-       "      <td id=\"T_b724f_row9_col1\" class=\"data row9 col1\" >2935</td>\n",
-       "      <td id=\"T_b724f_row9_col2\" class=\"data row9 col2\" >petr</td>\n",
-       "      <td id=\"T_b724f_row9_col3\" class=\"data row9 col3\" >3280</td>\n",
+       "      <th id=\"T_26b0c_level0_row9\" class=\"row_heading level0 row9\" >9</th>\n",
+       "      <td id=\"T_26b0c_row9_col0\" class=\"data row9 col0\" >spycheese</td>\n",
+       "      <td id=\"T_26b0c_row9_col1\" class=\"data row9 col1\" >2895</td>\n",
+       "      <td id=\"T_26b0c_row9_col2\" class=\"data row9 col2\" >neal</td>\n",
+       "      <td id=\"T_26b0c_row9_col3\" class=\"data row9 col3\" >2821</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
-       "      <td id=\"T_b724f_row10_col0\" class=\"data row10 col0\" >um_nik</td>\n",
-       "      <td id=\"T_b724f_row10_col1\" class=\"data row10 col1\" >2929</td>\n",
-       "      <td id=\"T_b724f_row10_col2\" class=\"data row10 col2\" >lhic</td>\n",
-       "      <td id=\"T_b724f_row10_col3\" class=\"data row10 col3\" >3262</td>\n",
+       "      <th id=\"T_26b0c_level0_row10\" class=\"row_heading level0 row10\" >10</th>\n",
+       "      <td id=\"T_26b0c_row10_col0\" class=\"data row10 col0\" >noimi</td>\n",
+       "      <td id=\"T_26b0c_row10_col1\" class=\"data row10 col1\" >2859</td>\n",
+       "      <td id=\"T_26b0c_row10_col2\" class=\"data row10 col2\" >vercingetorix</td>\n",
+       "      <td id=\"T_26b0c_row10_col3\" class=\"data row10 col3\" >2803</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
-       "      <td id=\"T_b724f_row11_col0\" class=\"data row11 col0\" >b524</td>\n",
-       "      <td id=\"T_b724f_row11_col1\" class=\"data row11 col1\" >2910</td>\n",
-       "      <td id=\"T_b724f_row11_col2\" class=\"data row11 col2\" >ACRush</td>\n",
-       "      <td id=\"T_b724f_row11_col3\" class=\"data row11 col3\" >3236</td>\n",
+       "      <th id=\"T_26b0c_level0_row11\" class=\"row_heading level0 row11\" >11</th>\n",
+       "      <td id=\"T_26b0c_row11_col0\" class=\"data row11 col0\" >heno239</td>\n",
+       "      <td id=\"T_26b0c_row11_col1\" class=\"data row11 col1\" >2822</td>\n",
+       "      <td id=\"T_26b0c_row11_col2\" class=\"data row11 col2\" >xaphoenix</td>\n",
+       "      <td id=\"T_26b0c_row11_col3\" class=\"data row11 col3\" >2888</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
-       "      <td id=\"T_b724f_row12_col0\" class=\"data row12 col0\" >neal</td>\n",
-       "      <td id=\"T_b724f_row12_col1\" class=\"data row12 col1\" >2898</td>\n",
-       "      <td id=\"T_b724f_row12_col2\" class=\"data row12 col2\" >geothermal</td>\n",
-       "      <td id=\"T_b724f_row12_col3\" class=\"data row12 col3\" >3236</td>\n",
+       "      <th id=\"T_26b0c_level0_row12\" class=\"row_heading level0 row12\" >12</th>\n",
+       "      <td id=\"T_26b0c_row12_col0\" class=\"data row12 col0\" >ecnerwala</td>\n",
+       "      <td id=\"T_26b0c_row12_col1\" class=\"data row12 col1\" >2817</td>\n",
+       "      <td id=\"T_26b0c_row12_col2\" class=\"data row12 col2\" >geothermal</td>\n",
+       "      <td id=\"T_26b0c_row12_col3\" class=\"data row12 col3\" >2800</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row13\" class=\"row_heading level0 row13\" >13</th>\n",
-       "      <td id=\"T_b724f_row13_col0\" class=\"data row13 col0\" >spycheese</td>\n",
-       "      <td id=\"T_b724f_row13_col1\" class=\"data row13 col1\" >2895</td>\n",
-       "      <td id=\"T_b724f_row13_col2\" class=\"data row13 col2\" >kutengine</td>\n",
-       "      <td id=\"T_b724f_row13_col3\" class=\"data row13 col3\" >3200</td>\n",
+       "      <th id=\"T_26b0c_level0_row13\" class=\"row_heading level0 row13\" >13</th>\n",
+       "      <td id=\"T_26b0c_row13_col0\" class=\"data row13 col0\" >kut_hgs1997</td>\n",
+       "      <td id=\"T_26b0c_row13_col1\" class=\"data row13 col1\" >2798</td>\n",
+       "      <td id=\"T_26b0c_row13_col2\" class=\"data row13 col2\" >oilhun</td>\n",
+       "      <td id=\"T_26b0c_row13_col3\" class=\"data row13 col3\" >2803</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row14\" class=\"row_heading level0 row14\" >14</th>\n",
-       "      <td id=\"T_b724f_row14_col0\" class=\"data row14 col0\" >kut_hbi1998</td>\n",
-       "      <td id=\"T_b724f_row14_col1\" class=\"data row14 col1\" >2894</td>\n",
-       "      <td id=\"T_b724f_row14_col2\" class=\"data row14 col2\" >uwi</td>\n",
-       "      <td id=\"T_b724f_row14_col3\" class=\"data row14 col3\" >3188</td>\n",
+       "      <th id=\"T_26b0c_level0_row14\" class=\"row_heading level0 row14\" >14</th>\n",
+       "      <td id=\"T_26b0c_row14_col0\" class=\"data row14 col0\" >tmwilliamlin</td>\n",
+       "      <td id=\"T_26b0c_row14_col1\" class=\"data row14 col1\" >2787</td>\n",
+       "      <td id=\"T_26b0c_row14_col2\" class=\"data row14 col2\" >maksim1744</td>\n",
+       "      <td id=\"T_26b0c_row14_col3\" class=\"data row14 col3\" >2777</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row15\" class=\"row_heading level0 row15\" >15</th>\n",
-       "      <td id=\"T_b724f_row15_col0\" class=\"data row15 col0\" >mugurelionut</td>\n",
-       "      <td id=\"T_b724f_row15_col1\" class=\"data row15 col1\" >2892</td>\n",
-       "      <td id=\"T_b724f_row15_col2\" class=\"data row15 col2\" >white2302</td>\n",
-       "      <td id=\"T_b724f_row15_col3\" class=\"data row15 col3\" >3170</td>\n",
+       "      <th id=\"T_26b0c_level0_row15\" class=\"row_heading level0 row15\" >15</th>\n",
+       "      <td id=\"T_26b0c_row15_col0\" class=\"data row15 col0\" >sansen</td>\n",
+       "      <td id=\"T_26b0c_row15_col1\" class=\"data row15 col1\" >2787</td>\n",
+       "      <td id=\"T_26b0c_row15_col2\" class=\"data row15 col2\" >scheffeli</td>\n",
+       "      <td id=\"T_26b0c_row15_col3\" class=\"data row15 col3\" >2829</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row16\" class=\"row_heading level0 row16\" >16</th>\n",
-       "      <td id=\"T_b724f_row16_col0\" class=\"data row16 col0\" >rns5</td>\n",
-       "      <td id=\"T_b724f_row16_col1\" class=\"data row16 col1\" >2879</td>\n",
-       "      <td id=\"T_b724f_row16_col2\" class=\"data row16 col2\" >neal</td>\n",
-       "      <td id=\"T_b724f_row16_col3\" class=\"data row16 col3\" >3167</td>\n",
+       "      <th id=\"T_26b0c_level0_row16\" class=\"row_heading level0 row16\" >16</th>\n",
+       "      <td id=\"T_26b0c_row16_col0\" class=\"data row16 col0\" >maksim1744</td>\n",
+       "      <td id=\"T_26b0c_row16_col1\" class=\"data row16 col1\" >2764</td>\n",
+       "      <td id=\"T_26b0c_row16_col2\" class=\"data row16 col2\" >rns_cus</td>\n",
+       "      <td id=\"T_26b0c_row16_col3\" class=\"data row16 col3\" >2791</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row17\" class=\"row_heading level0 row17\" >17</th>\n",
-       "      <td id=\"T_b724f_row17_col0\" class=\"data row17 col0\" >white2302</td>\n",
-       "      <td id=\"T_b724f_row17_col1\" class=\"data row17 col1\" >2879</td>\n",
-       "      <td id=\"T_b724f_row17_col2\" class=\"data row17 col2\" >vercingetorix</td>\n",
-       "      <td id=\"T_b724f_row17_col3\" class=\"data row17 col3\" >3157</td>\n",
+       "      <th id=\"T_26b0c_level0_row17\" class=\"row_heading level0 row17\" >17</th>\n",
+       "      <td id=\"T_26b0c_row17_col0\" class=\"data row17 col0\" >oilhun</td>\n",
+       "      <td id=\"T_26b0c_row17_col1\" class=\"data row17 col1\" >2753</td>\n",
+       "      <td id=\"T_26b0c_row17_col2\" class=\"data row17 col2\" >ssrs</td>\n",
+       "      <td id=\"T_26b0c_row17_col3\" class=\"data row17 col3\" >2726</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row18\" class=\"row_heading level0 row18\" >18</th>\n",
-       "      <td id=\"T_b724f_row18_col0\" class=\"data row18 col0\" >noimi</td>\n",
-       "      <td id=\"T_b724f_row18_col1\" class=\"data row18 col1\" >2859</td>\n",
-       "      <td id=\"T_b724f_row18_col2\" class=\"data row18 col2\" >tmwilliamlin</td>\n",
-       "      <td id=\"T_b724f_row18_col3\" class=\"data row18 col3\" >3149</td>\n",
+       "      <th id=\"T_26b0c_level0_row18\" class=\"row_heading level0 row18\" >18</th>\n",
+       "      <td id=\"T_26b0c_row18_col0\" class=\"data row18 col0\" >bigbag</td>\n",
+       "      <td id=\"T_26b0c_row18_col1\" class=\"data row18 col1\" >2750</td>\n",
+       "      <td id=\"T_26b0c_row18_col2\" class=\"data row18 col2\" >natsugiri</td>\n",
+       "      <td id=\"T_26b0c_row18_col3\" class=\"data row18 col3\" >2718</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row19\" class=\"row_heading level0 row19\" >19</th>\n",
-       "      <td id=\"T_b724f_row19_col0\" class=\"data row19 col0\" >tmyklebu</td>\n",
-       "      <td id=\"T_b724f_row19_col1\" class=\"data row19 col1\" >2855</td>\n",
-       "      <td id=\"T_b724f_row19_col2\" class=\"data row19 col2\" >kut_hbi1998</td>\n",
-       "      <td id=\"T_b724f_row19_col3\" class=\"data row19 col3\" >3152</td>\n",
+       "      <th id=\"T_26b0c_level0_row19\" class=\"row_heading level0 row19\" >19</th>\n",
+       "      <td id=\"T_26b0c_row19_col0\" class=\"data row19 col0\" >fjzzq2002</td>\n",
+       "      <td id=\"T_26b0c_row19_col1\" class=\"data row19 col1\" >2748</td>\n",
+       "      <td id=\"T_26b0c_row19_col2\" class=\"data row19 col2\" >uwi</td>\n",
+       "      <td id=\"T_26b0c_row19_col3\" class=\"data row19 col3\" >2715</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row20\" class=\"row_heading level0 row20\" >20</th>\n",
-       "      <td id=\"T_b724f_row20_col0\" class=\"data row20 col0\" >ceilks</td>\n",
-       "      <td id=\"T_b724f_row20_col1\" class=\"data row20 col1\" >2855</td>\n",
-       "      <td id=\"T_b724f_row20_col2\" class=\"data row20 col2\" >heno239</td>\n",
-       "      <td id=\"T_b724f_row20_col3\" class=\"data row20 col3\" >3162</td>\n",
+       "      <th id=\"T_26b0c_level0_row20\" class=\"row_heading level0 row20\" >20</th>\n",
+       "      <td id=\"T_26b0c_row20_col0\" class=\"data row20 col0\" >endagorion</td>\n",
+       "      <td id=\"T_26b0c_row20_col1\" class=\"data row20 col1\" >2746</td>\n",
+       "      <td id=\"T_26b0c_row20_col2\" class=\"data row20 col2\" >grumpy_gordon</td>\n",
+       "      <td id=\"T_26b0c_row20_col3\" class=\"data row20 col3\" >2709</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row21\" class=\"row_heading level0 row21\" >21</th>\n",
-       "      <td id=\"T_b724f_row21_col0\" class=\"data row21 col0\" >ryodan</td>\n",
-       "      <td id=\"T_b724f_row21_col1\" class=\"data row21 col1\" >2833</td>\n",
-       "      <td id=\"T_b724f_row21_col2\" class=\"data row21 col2\" >skyfire</td>\n",
-       "      <td id=\"T_b724f_row21_col3\" class=\"data row21 col3\" >3150</td>\n",
+       "      <th id=\"T_26b0c_level0_row21\" class=\"row_heading level0 row21\" >21</th>\n",
+       "      <td id=\"T_26b0c_row21_col0\" class=\"data row21 col0\" >geothermal</td>\n",
+       "      <td id=\"T_26b0c_row21_col1\" class=\"data row21 col1\" >2741</td>\n",
+       "      <td id=\"T_26b0c_row21_col2\" class=\"data row21 col2\" >sansen</td>\n",
+       "      <td id=\"T_26b0c_row21_col3\" class=\"data row21 col3\" >2709</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row22\" class=\"row_heading level0 row22\" >22</th>\n",
-       "      <td id=\"T_b724f_row22_col0\" class=\"data row22 col0\" >heno239</td>\n",
-       "      <td id=\"T_b724f_row22_col1\" class=\"data row22 col1\" >2822</td>\n",
-       "      <td id=\"T_b724f_row22_col2\" class=\"data row22 col2\" >maksim1744</td>\n",
-       "      <td id=\"T_b724f_row22_col3\" class=\"data row22 col3\" >3145</td>\n",
+       "      <th id=\"T_26b0c_level0_row22\" class=\"row_heading level0 row22\" >22</th>\n",
+       "      <td id=\"T_26b0c_row22_col0\" class=\"data row22 col0\" >kal013</td>\n",
+       "      <td id=\"T_26b0c_row22_col1\" class=\"data row22 col1\" >2726</td>\n",
+       "      <td id=\"T_26b0c_row22_col2\" class=\"data row22 col2\" >tmwilliamlin</td>\n",
+       "      <td id=\"T_26b0c_row22_col3\" class=\"data row22 col3\" >2706</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row23\" class=\"row_heading level0 row23\" >23</th>\n",
-       "      <td id=\"T_b724f_row23_col0\" class=\"data row23 col0\" >ecnerwala</td>\n",
-       "      <td id=\"T_b724f_row23_col1\" class=\"data row23 col1\" >2817</td>\n",
-       "      <td id=\"T_b724f_row23_col2\" class=\"data row23 col2\" >msm1993</td>\n",
-       "      <td id=\"T_b724f_row23_col3\" class=\"data row23 col3\" >3142</td>\n",
+       "      <th id=\"T_26b0c_level0_row23\" class=\"row_heading level0 row23\" >23</th>\n",
+       "      <td id=\"T_26b0c_row23_col0\" class=\"data row23 col0\" >alex_2oo8</td>\n",
+       "      <td id=\"T_26b0c_row23_col1\" class=\"data row23 col1\" >2724</td>\n",
+       "      <td id=\"T_26b0c_row23_col2\" class=\"data row23 col2\" >progmatic</td>\n",
+       "      <td id=\"T_26b0c_row23_col3\" class=\"data row23 col3\" >2703</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row24\" class=\"row_heading level0 row24\" >24</th>\n",
-       "      <td id=\"T_b724f_row24_col0\" class=\"data row24 col0\" >msm1993</td>\n",
-       "      <td id=\"T_b724f_row24_col1\" class=\"data row24 col1\" >2803</td>\n",
-       "      <td id=\"T_b724f_row24_col2\" class=\"data row24 col2\" >progmatic</td>\n",
-       "      <td id=\"T_b724f_row24_col3\" class=\"data row24 col3\" >3138</td>\n",
+       "      <th id=\"T_26b0c_level0_row24\" class=\"row_heading level0 row24\" >24</th>\n",
+       "      <td id=\"T_26b0c_row24_col0\" class=\"data row24 col0\" >stonefeang</td>\n",
+       "      <td id=\"T_26b0c_row24_col1\" class=\"data row24 col1\" >2721</td>\n",
+       "      <td id=\"T_26b0c_row24_col2\" class=\"data row24 col2\" >bigbag</td>\n",
+       "      <td id=\"T_26b0c_row24_col3\" class=\"data row24 col3\" >2706</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row25\" class=\"row_heading level0 row25\" >25</th>\n",
-       "      <td id=\"T_b724f_row25_col0\" class=\"data row25 col0\" >hh_algos</td>\n",
-       "      <td id=\"T_b724f_row25_col1\" class=\"data row25 col1\" >2800</td>\n",
-       "      <td id=\"T_b724f_row25_col2\" class=\"data row25 col2\" >lebron</td>\n",
-       "      <td id=\"T_b724f_row25_col3\" class=\"data row25 col3\" >3126</td>\n",
+       "      <th id=\"T_26b0c_level0_row25\" class=\"row_heading level0 row25\" >25</th>\n",
+       "      <td id=\"T_26b0c_row25_col0\" class=\"data row25 col0\" >isaf27</td>\n",
+       "      <td id=\"T_26b0c_row25_col1\" class=\"data row25 col1\" >2718</td>\n",
+       "      <td id=\"T_26b0c_row25_col2\" class=\"data row25 col2\" >wasa855</td>\n",
+       "      <td id=\"T_26b0c_row25_col3\" class=\"data row25 col3\" >2729</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row26\" class=\"row_heading level0 row26\" >26</th>\n",
-       "      <td id=\"T_b724f_row26_col0\" class=\"data row26 col0\" >kut_hgs1997</td>\n",
-       "      <td id=\"T_b724f_row26_col1\" class=\"data row26 col1\" >2798</td>\n",
-       "      <td id=\"T_b724f_row26_col2\" class=\"data row26 col2\" >rns4</td>\n",
-       "      <td id=\"T_b724f_row26_col3\" class=\"data row26 col3\" >3126</td>\n",
+       "      <th id=\"T_26b0c_level0_row26\" class=\"row_heading level0 row26\" >26</th>\n",
+       "      <td id=\"T_26b0c_row26_col0\" class=\"data row26 col0\" >vercingetorix</td>\n",
+       "      <td id=\"T_26b0c_row26_col1\" class=\"data row26 col1\" >2710</td>\n",
+       "      <td id=\"T_26b0c_row26_col2\" class=\"data row26 col2\" >tute7627</td>\n",
+       "      <td id=\"T_26b0c_row26_col3\" class=\"data row26 col3\" >2699</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row27\" class=\"row_heading level0 row27\" >27</th>\n",
-       "      <td id=\"T_b724f_row27_col0\" class=\"data row27 col0\" >tmwilliamlin</td>\n",
-       "      <td id=\"T_b724f_row27_col1\" class=\"data row27 col1\" >2787</td>\n",
-       "      <td id=\"T_b724f_row27_col2\" class=\"data row27 col2\" >natsugiri</td>\n",
-       "      <td id=\"T_b724f_row27_col3\" class=\"data row27 col3\" >3120</td>\n",
+       "      <th id=\"T_26b0c_level0_row27\" class=\"row_heading level0 row27\" >27</th>\n",
+       "      <td id=\"T_26b0c_row27_col0\" class=\"data row27 col0\" >akatorihasi180</td>\n",
+       "      <td id=\"T_26b0c_row27_col1\" class=\"data row27 col1\" >2704</td>\n",
+       "      <td id=\"T_26b0c_row27_col2\" class=\"data row27 col2\" >ecnerwala</td>\n",
+       "      <td id=\"T_26b0c_row27_col3\" class=\"data row27 col3\" >2697</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row28\" class=\"row_heading level0 row28\" >28</th>\n",
-       "      <td id=\"T_b724f_row28_col0\" class=\"data row28 col0\" >sansen</td>\n",
-       "      <td id=\"T_b724f_row28_col1\" class=\"data row28 col1\" >2787</td>\n",
-       "      <td id=\"T_b724f_row28_col2\" class=\"data row28 col2\" >alex_2oo8</td>\n",
-       "      <td id=\"T_b724f_row28_col3\" class=\"data row28 col3\" >3116</td>\n",
+       "      <th id=\"T_26b0c_level0_row28\" class=\"row_heading level0 row28\" >28</th>\n",
+       "      <td id=\"T_26b0c_row28_col0\" class=\"data row28 col0\" >natsugiri</td>\n",
+       "      <td id=\"T_26b0c_row28_col1\" class=\"data row28 col1\" >2696</td>\n",
+       "      <td id=\"T_26b0c_row28_col2\" class=\"data row28 col2\" >kotatsugame</td>\n",
+       "      <td id=\"T_26b0c_row28_col3\" class=\"data row28 col3\" >2696</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row29\" class=\"row_heading level0 row29\" >29</th>\n",
-       "      <td id=\"T_b724f_row29_col0\" class=\"data row29 col0\" >dj3500</td>\n",
-       "      <td id=\"T_b724f_row29_col1\" class=\"data row29 col1\" >2780</td>\n",
-       "      <td id=\"T_b724f_row29_col2\" class=\"data row29 col2\" >hitonanode</td>\n",
-       "      <td id=\"T_b724f_row29_col3\" class=\"data row29 col3\" >3090</td>\n",
+       "      <th id=\"T_26b0c_level0_row29\" class=\"row_heading level0 row29\" >29</th>\n",
+       "      <td id=\"T_26b0c_row29_col0\" class=\"data row29 col0\" >ssrs</td>\n",
+       "      <td id=\"T_26b0c_row29_col1\" class=\"data row29 col1\" >2695</td>\n",
+       "      <td id=\"T_26b0c_row29_col2\" class=\"data row29 col2\" >hitonanode</td>\n",
+       "      <td id=\"T_26b0c_row29_col3\" class=\"data row29 col3\" >2691</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row30\" class=\"row_heading level0 row30\" >30</th>\n",
-       "      <td id=\"T_b724f_row30_col0\" class=\"data row30 col0\" >lhic</td>\n",
-       "      <td id=\"T_b724f_row30_col1\" class=\"data row30 col1\" >2772</td>\n",
-       "      <td id=\"T_b724f_row30_col2\" class=\"data row30 col2\" >ccz181078</td>\n",
-       "      <td id=\"T_b724f_row30_col3\" class=\"data row30 col3\" >3090</td>\n",
+       "      <th id=\"T_26b0c_level0_row30\" class=\"row_heading level0 row30\" >30</th>\n",
+       "      <td id=\"T_26b0c_row30_col0\" class=\"data row30 col0\" >EgorK</td>\n",
+       "      <td id=\"T_26b0c_row30_col1\" class=\"data row30 col1\" >2692</td>\n",
+       "      <td id=\"T_26b0c_row30_col2\" class=\"data row30 col2\" >potato167</td>\n",
+       "      <td id=\"T_26b0c_row30_col3\" class=\"data row30 col3\" >2702</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row31\" class=\"row_heading level0 row31\" >31</th>\n",
-       "      <td id=\"T_b724f_row31_col0\" class=\"data row31 col0\" >gorre_morre</td>\n",
-       "      <td id=\"T_b724f_row31_col1\" class=\"data row31 col1\" >2767</td>\n",
-       "      <td id=\"T_b724f_row31_col2\" class=\"data row31 col2\" >tute7627</td>\n",
-       "      <td id=\"T_b724f_row31_col3\" class=\"data row31 col3\" >3085</td>\n",
+       "      <th id=\"T_26b0c_level0_row31\" class=\"row_heading level0 row31\" >31</th>\n",
+       "      <td id=\"T_26b0c_row31_col0\" class=\"data row31 col0\" >uwi</td>\n",
+       "      <td id=\"T_26b0c_row31_col1\" class=\"data row31 col1\" >2688</td>\n",
+       "      <td id=\"T_26b0c_row31_col2\" class=\"data row31 col2\" >endagorion</td>\n",
+       "      <td id=\"T_26b0c_row31_col3\" class=\"data row31 col3\" >2689</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row32\" class=\"row_heading level0 row32\" >32</th>\n",
-       "      <td id=\"T_b724f_row32_col0\" class=\"data row32 col0\" >gainullinildar</td>\n",
-       "      <td id=\"T_b724f_row32_col1\" class=\"data row32 col1\" >2767</td>\n",
-       "      <td id=\"T_b724f_row32_col2\" class=\"data row32 col2\" >argos</td>\n",
-       "      <td id=\"T_b724f_row32_col3\" class=\"data row32 col3\" >3075</td>\n",
+       "      <th id=\"T_26b0c_level0_row32\" class=\"row_heading level0 row32\" >32</th>\n",
+       "      <td id=\"T_26b0c_row32_col0\" class=\"data row32 col0\" >argos</td>\n",
+       "      <td id=\"T_26b0c_row32_col1\" class=\"data row32 col1\" >2683</td>\n",
+       "      <td id=\"T_26b0c_row32_col2\" class=\"data row32 col2\" >kal013</td>\n",
+       "      <td id=\"T_26b0c_row32_col3\" class=\"data row32 col3\" >2686</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row33\" class=\"row_heading level0 row33\" >33</th>\n",
-       "      <td id=\"T_b724f_row33_col0\" class=\"data row33 col0\" >maksim1744</td>\n",
-       "      <td id=\"T_b724f_row33_col1\" class=\"data row33 col1\" >2764</td>\n",
-       "      <td id=\"T_b724f_row33_col2\" class=\"data row33 col2\" >sansen</td>\n",
-       "      <td id=\"T_b724f_row33_col3\" class=\"data row33 col3\" >3074</td>\n",
+       "      <th id=\"T_26b0c_level0_row33\" class=\"row_heading level0 row33\" >33</th>\n",
+       "      <td id=\"T_26b0c_row33_col0\" class=\"data row33 col0\" >dreamoon4</td>\n",
+       "      <td id=\"T_26b0c_row33_col1\" class=\"data row33 col1\" >2683</td>\n",
+       "      <td id=\"T_26b0c_row33_col2\" class=\"data row33 col2\" >alex_2oo8</td>\n",
+       "      <td id=\"T_26b0c_row33_col3\" class=\"data row33 col3\" >2682</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row34\" class=\"row_heading level0 row34\" >34</th>\n",
-       "      <td id=\"T_b724f_row34_col0\" class=\"data row34 col0\" >oilhun</td>\n",
-       "      <td id=\"T_b724f_row34_col1\" class=\"data row34 col1\" >2753</td>\n",
-       "      <td id=\"T_b724f_row34_col2\" class=\"data row34 col2\" >kal013</td>\n",
-       "      <td id=\"T_b724f_row34_col3\" class=\"data row34 col3\" >3064</td>\n",
+       "      <th id=\"T_26b0c_level0_row34\" class=\"row_heading level0 row34\" >34</th>\n",
+       "      <td id=\"T_26b0c_row34_col0\" class=\"data row34 col0\" >bench0310</td>\n",
+       "      <td id=\"T_26b0c_row34_col1\" class=\"data row34 col1\" >2679</td>\n",
+       "      <td id=\"T_26b0c_row34_col2\" class=\"data row34 col2\" >jeroenodb</td>\n",
+       "      <td id=\"T_26b0c_row34_col3\" class=\"data row34 col3\" >2737</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row35\" class=\"row_heading level0 row35\" >35</th>\n",
-       "      <td id=\"T_b724f_row35_col0\" class=\"data row35 col0\" >waterfalls</td>\n",
-       "      <td id=\"T_b724f_row35_col1\" class=\"data row35 col1\" >2753</td>\n",
-       "      <td id=\"T_b724f_row35_col2\" class=\"data row35 col2\" >um_nik</td>\n",
-       "      <td id=\"T_b724f_row35_col3\" class=\"data row35 col3\" >3058</td>\n",
+       "      <th id=\"T_26b0c_level0_row35\" class=\"row_heading level0 row35\" >35</th>\n",
+       "      <td id=\"T_26b0c_row35_col0\" class=\"data row35 col0\" >jijiang</td>\n",
+       "      <td id=\"T_26b0c_row35_col1\" class=\"data row35 col1\" >2672</td>\n",
+       "      <td id=\"T_26b0c_row35_col2\" class=\"data row35 col2\" >EgorK</td>\n",
+       "      <td id=\"T_26b0c_row35_col3\" class=\"data row35 col3\" >2673</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row36\" class=\"row_heading level0 row36\" >36</th>\n",
-       "      <td id=\"T_b724f_row36_col0\" class=\"data row36 col0\" >bigbag</td>\n",
-       "      <td id=\"T_b724f_row36_col1\" class=\"data row36 col1\" >2750</td>\n",
-       "      <td id=\"T_b724f_row36_col2\" class=\"data row36 col2\" >grumpy_gordon</td>\n",
-       "      <td id=\"T_b724f_row36_col3\" class=\"data row36 col3\" >3055</td>\n",
+       "      <th id=\"T_26b0c_level0_row36\" class=\"row_heading level0 row36\" >36</th>\n",
+       "      <td id=\"T_26b0c_row36_col0\" class=\"data row36 col0\" >satashun</td>\n",
+       "      <td id=\"T_26b0c_row36_col1\" class=\"data row36 col1\" >2671</td>\n",
+       "      <td id=\"T_26b0c_row36_col2\" class=\"data row36 col2\" >akatorihasi180</td>\n",
+       "      <td id=\"T_26b0c_row36_col3\" class=\"data row36 col3\" >2673</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row37\" class=\"row_heading level0 row37\" >37</th>\n",
-       "      <td id=\"T_b724f_row37_col0\" class=\"data row37 col0\" >he_____he</td>\n",
-       "      <td id=\"T_b724f_row37_col1\" class=\"data row37 col1\" >2748</td>\n",
-       "      <td id=\"T_b724f_row37_col2\" class=\"data row37 col2\" >risujiroh</td>\n",
-       "      <td id=\"T_b724f_row37_col3\" class=\"data row37 col3\" >3050</td>\n",
+       "      <th id=\"T_26b0c_level0_row37\" class=\"row_heading level0 row37\" >37</th>\n",
+       "      <td id=\"T_26b0c_row37_col0\" class=\"data row37 col0\" >nyaan</td>\n",
+       "      <td id=\"T_26b0c_row37_col1\" class=\"data row37 col1\" >2670</td>\n",
+       "      <td id=\"T_26b0c_row37_col2\" class=\"data row37 col2\" >risujiroh</td>\n",
+       "      <td id=\"T_26b0c_row37_col3\" class=\"data row37 col3\" >2672</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row38\" class=\"row_heading level0 row38\" >38</th>\n",
-       "      <td id=\"T_b724f_row38_col0\" class=\"data row38 col0\" >fjzzq2002</td>\n",
-       "      <td id=\"T_b724f_row38_col1\" class=\"data row38 col1\" >2748</td>\n",
-       "      <td id=\"T_b724f_row38_col2\" class=\"data row38 col2\" >rns5</td>\n",
-       "      <td id=\"T_b724f_row38_col3\" class=\"data row38 col3\" >3055</td>\n",
+       "      <th id=\"T_26b0c_level0_row38\" class=\"row_heading level0 row38\" >38</th>\n",
+       "      <td id=\"T_26b0c_row38_col0\" class=\"data row38 col0\" >tlatoani</td>\n",
+       "      <td id=\"T_26b0c_row38_col1\" class=\"data row38 col1\" >2668</td>\n",
+       "      <td id=\"T_26b0c_row38_col2\" class=\"data row38 col2\" >isaf27</td>\n",
+       "      <td id=\"T_26b0c_row38_col3\" class=\"data row38 col3\" >2655</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row39\" class=\"row_heading level0 row39\" >39</th>\n",
-       "      <td id=\"T_b724f_row39_col0\" class=\"data row39 col0\" >endagorion</td>\n",
-       "      <td id=\"T_b724f_row39_col1\" class=\"data row39 col1\" >2746</td>\n",
-       "      <td id=\"T_b724f_row39_col2\" class=\"data row39 col2\" >zhouyuyang</td>\n",
-       "      <td id=\"T_b724f_row39_col3\" class=\"data row39 col3\" >3045</td>\n",
+       "      <th id=\"T_26b0c_level0_row39\" class=\"row_heading level0 row39\" >39</th>\n",
+       "      <td id=\"T_26b0c_row39_col0\" class=\"data row39 col0\" >moransky</td>\n",
+       "      <td id=\"T_26b0c_row39_col1\" class=\"data row39 col1\" >2665</td>\n",
+       "      <td id=\"T_26b0c_row39_col2\" class=\"data row39 col2\" >celesta</td>\n",
+       "      <td id=\"T_26b0c_row39_col3\" class=\"data row39 col3\" >2692</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row40\" class=\"row_heading level0 row40\" >40</th>\n",
-       "      <td id=\"T_b724f_row40_col0\" class=\"data row40 col0\" >geothermal</td>\n",
-       "      <td id=\"T_b724f_row40_col1\" class=\"data row40 col1\" >2741</td>\n",
-       "      <td id=\"T_b724f_row40_col2\" class=\"data row40 col2\" >kotatsugame</td>\n",
-       "      <td id=\"T_b724f_row40_col3\" class=\"data row40 col3\" >3048</td>\n",
+       "      <th id=\"T_26b0c_level0_row40\" class=\"row_heading level0 row40\" >40</th>\n",
+       "      <td id=\"T_26b0c_row40_col0\" class=\"data row40 col0\" >zemen</td>\n",
+       "      <td id=\"T_26b0c_row40_col1\" class=\"data row40 col1\" >2663</td>\n",
+       "      <td id=\"T_26b0c_row40_col2\" class=\"data row40 col2\" >argos</td>\n",
+       "      <td id=\"T_26b0c_row40_col3\" class=\"data row40 col3\" >2650</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row41\" class=\"row_heading level0 row41\" >41</th>\n",
-       "      <td id=\"T_b724f_row41_col0\" class=\"data row41 col0\" >kal013</td>\n",
-       "      <td id=\"T_b724f_row41_col1\" class=\"data row41 col1\" >2726</td>\n",
-       "      <td id=\"T_b724f_row41_col2\" class=\"data row41 col2\" >bigbag</td>\n",
-       "      <td id=\"T_b724f_row41_col3\" class=\"data row41 col3\" >3046</td>\n",
+       "      <th id=\"T_26b0c_level0_row41\" class=\"row_heading level0 row41\" >41</th>\n",
+       "      <td id=\"T_26b0c_row41_col0\" class=\"data row41 col0\" >Oleg</td>\n",
+       "      <td id=\"T_26b0c_row41_col1\" class=\"data row41 col1\" >2652</td>\n",
+       "      <td id=\"T_26b0c_row41_col2\" class=\"data row41 col2\" >krismaz</td>\n",
+       "      <td id=\"T_26b0c_row41_col3\" class=\"data row41 col3\" >2638</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row42\" class=\"row_heading level0 row42\" >42</th>\n",
-       "      <td id=\"T_b724f_row42_col0\" class=\"data row42 col0\" >algmyr</td>\n",
-       "      <td id=\"T_b724f_row42_col1\" class=\"data row42 col1\" >2725</td>\n",
-       "      <td id=\"T_b724f_row42_col2\" class=\"data row42 col2\" >wrong_answer_1</td>\n",
-       "      <td id=\"T_b724f_row42_col3\" class=\"data row42 col3\" >3037</td>\n",
+       "      <th id=\"T_26b0c_level0_row42\" class=\"row_heading level0 row42\" >42</th>\n",
+       "      <td id=\"T_26b0c_row42_col0\" class=\"data row42 col0\" >tute7627</td>\n",
+       "      <td id=\"T_26b0c_row42_col1\" class=\"data row42 col1\" >2645</td>\n",
+       "      <td id=\"T_26b0c_row42_col2\" class=\"data row42 col2\" >bench0310</td>\n",
+       "      <td id=\"T_26b0c_row42_col3\" class=\"data row42 col3\" >2635</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row43\" class=\"row_heading level0 row43\" >43</th>\n",
-       "      <td id=\"T_b724f_row43_col0\" class=\"data row43 col0\" >alex_2oo8</td>\n",
-       "      <td id=\"T_b724f_row43_col1\" class=\"data row43 col1\" >2724</td>\n",
-       "      <td id=\"T_b724f_row43_col2\" class=\"data row43 col2\" >zhouyuchen</td>\n",
-       "      <td id=\"T_b724f_row43_col3\" class=\"data row43 col3\" >3035</td>\n",
+       "      <th id=\"T_26b0c_level0_row43\" class=\"row_heading level0 row43\" >43</th>\n",
+       "      <td id=\"T_26b0c_row43_col0\" class=\"data row43 col0\" >kotatsugame</td>\n",
+       "      <td id=\"T_26b0c_row43_col1\" class=\"data row43 col1\" >2640</td>\n",
+       "      <td id=\"T_26b0c_row43_col2\" class=\"data row43 col2\" >tiago_marques</td>\n",
+       "      <td id=\"T_26b0c_row43_col3\" class=\"data row43 col3\" >2722</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row44\" class=\"row_heading level0 row44\" >44</th>\n",
-       "      <td id=\"T_b724f_row44_col0\" class=\"data row44 col0\" >iafir</td>\n",
-       "      <td id=\"T_b724f_row44_col1\" class=\"data row44 col1\" >2722</td>\n",
-       "      <td id=\"T_b724f_row44_col2\" class=\"data row44 col2\" >krismaz</td>\n",
-       "      <td id=\"T_b724f_row44_col3\" class=\"data row44 col3\" >3032</td>\n",
+       "      <th id=\"T_26b0c_level0_row44\" class=\"row_heading level0 row44\" >44</th>\n",
+       "      <td id=\"T_26b0c_row44_col0\" class=\"data row44 col0\" >risujiroh</td>\n",
+       "      <td id=\"T_26b0c_row44_col1\" class=\"data row44 col1\" >2635</td>\n",
+       "      <td id=\"T_26b0c_row44_col2\" class=\"data row44 col2\" >icecuber</td>\n",
+       "      <td id=\"T_26b0c_row44_col3\" class=\"data row44 col3\" >2647</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row45\" class=\"row_heading level0 row45\" >45</th>\n",
-       "      <td id=\"T_b724f_row45_col0\" class=\"data row45 col0\" >ccz181078</td>\n",
-       "      <td id=\"T_b724f_row45_col1\" class=\"data row45 col1\" >2722</td>\n",
-       "      <td id=\"T_b724f_row45_col2\" class=\"data row45 col2\" >isaf27</td>\n",
-       "      <td id=\"T_b724f_row45_col3\" class=\"data row45 col3\" >3029</td>\n",
+       "      <th id=\"T_26b0c_level0_row45\" class=\"row_heading level0 row45\" >45</th>\n",
+       "      <td id=\"T_26b0c_row45_col0\" class=\"data row45 col0\" >jtnydv25</td>\n",
+       "      <td id=\"T_26b0c_row45_col1\" class=\"data row45 col1\" >2632</td>\n",
+       "      <td id=\"T_26b0c_row45_col2\" class=\"data row45 col2\" >b524</td>\n",
+       "      <td id=\"T_26b0c_row45_col3\" class=\"data row45 col3\" >2641</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row46\" class=\"row_heading level0 row46\" >46</th>\n",
-       "      <td id=\"T_b724f_row46_col0\" class=\"data row46 col0\" >stonefeang</td>\n",
-       "      <td id=\"T_b724f_row46_col1\" class=\"data row46 col1\" >2721</td>\n",
-       "      <td id=\"T_b724f_row46_col2\" class=\"data row46 col2\" >ssrs</td>\n",
-       "      <td id=\"T_b724f_row46_col3\" class=\"data row46 col3\" >3028</td>\n",
+       "      <th id=\"T_26b0c_level0_row46\" class=\"row_heading level0 row46\" >46</th>\n",
+       "      <td id=\"T_26b0c_row46_col0\" class=\"data row46 col0\" >grumpy_gordon</td>\n",
+       "      <td id=\"T_26b0c_row46_col1\" class=\"data row46 col1\" >2632</td>\n",
+       "      <td id=\"T_26b0c_row46_col2\" class=\"data row46 col2\" >tabr</td>\n",
+       "      <td id=\"T_26b0c_row46_col3\" class=\"data row46 col3\" >2633</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row47\" class=\"row_heading level0 row47\" >47</th>\n",
-       "      <td id=\"T_b724f_row47_col0\" class=\"data row47 col0\" >Fdg</td>\n",
-       "      <td id=\"T_b724f_row47_col1\" class=\"data row47 col1\" >2718</td>\n",
-       "      <td id=\"T_b724f_row47_col2\" class=\"data row47 col2\" >oilhun</td>\n",
-       "      <td id=\"T_b724f_row47_col3\" class=\"data row47 col3\" >3055</td>\n",
+       "      <th id=\"T_26b0c_level0_row47\" class=\"row_heading level0 row47\" >47</th>\n",
+       "      <td id=\"T_26b0c_row47_col0\" class=\"data row47 col0\" >html_sanek</td>\n",
+       "      <td id=\"T_26b0c_row47_col1\" class=\"data row47 col1\" >2623</td>\n",
+       "      <td id=\"T_26b0c_row47_col2\" class=\"data row47 col2\" >html_sanek</td>\n",
+       "      <td id=\"T_26b0c_row47_col3\" class=\"data row47 col3\" >2633</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row48\" class=\"row_heading level0 row48\" >48</th>\n",
-       "      <td id=\"T_b724f_row48_col0\" class=\"data row48 col0\" >isaf27</td>\n",
-       "      <td id=\"T_b724f_row48_col1\" class=\"data row48 col1\" >2718</td>\n",
-       "      <td id=\"T_b724f_row48_col2\" class=\"data row48 col2\" >gorre_morre</td>\n",
-       "      <td id=\"T_b724f_row48_col3\" class=\"data row48 col3\" >3019</td>\n",
+       "      <th id=\"T_26b0c_level0_row48\" class=\"row_heading level0 row48\" >48</th>\n",
+       "      <td id=\"T_26b0c_row48_col0\" class=\"data row48 col0\" >bthero</td>\n",
+       "      <td id=\"T_26b0c_row48_col1\" class=\"data row48 col1\" >2620</td>\n",
+       "      <td id=\"T_26b0c_row48_col2\" class=\"data row48 col2\" >zemen</td>\n",
+       "      <td id=\"T_26b0c_row48_col3\" class=\"data row48 col3\" >2638</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_b724f_level0_row49\" class=\"row_heading level0 row49\" >49</th>\n",
-       "      <td id=\"T_b724f_row49_col0\" class=\"data row49 col0\" >aawisong</td>\n",
-       "      <td id=\"T_b724f_row49_col1\" class=\"data row49 col1\" >2712</td>\n",
-       "      <td id=\"T_b724f_row49_col2\" class=\"data row49 col2\" >endagorion</td>\n",
-       "      <td id=\"T_b724f_row49_col3\" class=\"data row49 col3\" >3008</td>\n",
+       "      <th id=\"T_26b0c_level0_row49\" class=\"row_heading level0 row49\" >49</th>\n",
+       "      <td id=\"T_26b0c_row49_col0\" class=\"data row49 col0\" >anton_trygub</td>\n",
+       "      <td id=\"T_26b0c_row49_col1\" class=\"data row49 col1\" >2618</td>\n",
+       "      <td id=\"T_26b0c_row49_col2\" class=\"data row49 col2\" >rubikun</td>\n",
+       "      <td id=\"T_26b0c_row49_col3\" class=\"data row49 col3\" >2630</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x7f60bb262850>"
+       "<pandas.io.formats.style.Styler at 0x7f6098d2ecd0>"
       ]
      },
      "metadata": {},
@@ -771,6 +792,10 @@
    "source": [
     "import numpy as np\n",
     "\n",
+    "# Filter out non-active and cheating users\n",
+    "codechef_rank = pd.DataFrame(filter_users(codechef_rank))\n",
+    "mmr_rank = pd.DataFrame(filter_users(mmr_rank))\n",
+    "\n",
     "cc_top50 = codechef_rank.iloc[:50]\n",
     "mmr_top50 = mmr_rank[['username', 'ratings']].iloc[:50]\n",
     "\n",
@@ -817,17 +842,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 728,
+   "execution_count": 1152,
    "id": "6f030b3f-1d57-49a2-adb1-66380d47e245",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f608a4e90d0>]"
+       "Text(0, 0.5, 'Elo-MMR minus CodeChef rating')"
       ]
      },
-     "execution_count": 728,
+     "execution_count": 1152,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -842,7 +867,28 @@
     },
     {
      "data": {
-      "image/png": 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aLMwZY4wxJiwjA5cDWyy8DZ4Ou1Vlx8KcMcYYYwrv0nm4cNQPbYfh/FG4dC7sVs0IFuaMMcYYkz+qcOmNuDIg/u4Jw71ht2zGsjBnjDHGmNyoesOi54/w9HPP8OILzzJ/9CQLK0dZt6huYpcEU1gW5owxxhiTmevCQPfkfUovHIWxIXr6hunv6We56y1SGB6Dgz3ebgoW6ArPwpwxxhhjJouOQ9/xyaVALhyD6GjSmx86O0jUnbzaNOoqh84OWpgrAgtzxhhjzGw2PpqkhtvrWRXfHRlLXu8t1XGTXxbmjDHGmNlibGhyDbcLR6DvBKg7rdNWV0YYThLcqisjKe/T0zfMobODjIxFqa6MlOUcu6gKHW/MZeWFSyyfPye0dliYM8YYY2ai0YuTV5ReOAr9pyhE8d11i+o42NM/aag14gjrFtUlvX1P3/Ck2w+PRctmjp0qHBhawN7eVr7W28rp8Tn8Sv1xfv0dG0Nrk4U5Y4wxptwN98UFN///wTNFe/hYAAva01aOc+xeH6ljb28re3pbeW2kkQqiXBE5wtXOWf716RrWLKpj91XLQmmbhTljjDGmXKjC0IWpwe3SG2G3jOaGmsBBrFzm2L0xXs03e1ezp7eVZy4tBuDauT08MPcHLBt8gVod4iVt5Vt9w3zkqy8ChBLoLMwZY4wxpUgVLp6dHNzOH4aR/rBblrXE+XEVEYex6NR5eunm2BXLJbeCf+lZwlfPt/KSu4ooEdZWvsGHmp/mnsajLKu6yBOHzjGsk4Pn0FiUTz7SZWHOGGOMmZVUYeDU5H1KLxz15r2ViVQLGpLNj3NEcERwNdgcu0IbV+GHA0vZ27uGR/pWMKSVLKCfW5397HQ6WeW8QVt1Pc1VXs9jqh7E7t6hYjZ7goU5Y4wxppjcqLeCNBbYYj1v4yNhtyxn6RY0JJsf56pSGXGocpykc+yKsdJVFZ691MTe3jV8o3cVb0RraYiMsDNykDfpAdbJCRzxbht1mTSfL9Xq3ZbG2ry2MSgLc8YYY0yhRMe84rvn41aU9h7zjs8g6RY0pOrFGo+63LBhyZTj2ax0zSX0vTZcz97eVvb2tnJstJ5qGeeW+hPsajzCjfNO8sOuU6hMvV/880i2ere2MsIHbwtnRauFOWOMMSYfxke8YrvxQ6V9J7Iqvluu0i1oyLYGXdCVrtmEvjNjtXytdzV7e1t5cagJB5e31vXwy4tf4LaG48yLXA7XQdobv3qXUVjWWMsHb9toq1mNMcaYsjF6yetlm1R89ySFqOFWDtIFoGxr0AVd6Zop9A1EK/n3vpXs7W3lR4PNuDhsqz3H7yx9irsbj7K4Mvn8tqDtja3evW7pBn7tppuTnqtYLMwZY4wx6YwMTC0FMtATdquKLt2Q5rpFdXSe6p+0oMERmXSbQ2cHGR6LIshE6IKpvWhBe/KShb4xjfDcSCtfPHYVj/YvZ0QrWFXVzwcWv8iuxiOsrcm8EjjbmnmlwMKcMcYYE5OshtvFc2G3Kmv5XkAw3R0bYrcJco6gPWOx0OcqHNLl7HPb2a8buEQtCweH+IkFr7Jr/hGurD2HJJkDl6m9pRzeElmYM8YYM/uoeoV2E4Pb0IWwWzZthdgqK9WQ5oHuyytW43vlwFuxGj/PLehcuKA9Y9qwkq+cWUlHdBPnqaeaUbY7r/Jg0zHuXvIGFTJ7hrwtzBljjJnZVGHw9NTgNjIQdssKohBbZaWax6YoB7r7Us4UjL9fsqHTVMdT9YydHJ07sRK1a3g+EVy2Oke5Xx7n2qojbFlcXj1q+WJhzhhjzMzhujDQnRDcjsLYpbBbVjRBFxBkMxSbah4bZFryIfT0DdPcUIMgaJJbC+nHQHvHq/hm3yr29q7hyYteKZOr55zhD1o6uLPxKAsqYvX5GtOeZyazMGeMMaY8Rceh/8TU4BYdDbtloQqygCDVUGzv0CjnBkenBLxk89iCUHRiiDdZkEt1fNiN8Gj/cvb0ruHxgRbGNMK66l5+c8mz7Jp/hBVVg1m1Y6azMGeMMab0jY9eLr4bC269x2ZFDbdsBVlAkGoo9uSFoYlolWyu3YHu/pShLJXYEG9NipBZ44fMqAo/GmxmT28rj/StZNCtYknFJX524cvsmn+EzTXns17IMFtYmDPGGFNaxoa9oHb+8OQabpp8mM9MFmQBQeo5cJPFz7VLtiI1qOGxKFtaGqbc1xFhrH41v9+9ia/3rubs+BzmOaPc0XCM3fOPsGPuaSKzaCFDrizMGWOMCc/oxakLE/pPMVuL7+ZLptIa6ebAJYoPfrFzdp0eYCzqBm5PrEOtrbmeQ2cHOT46j/2ymafcdl7vaaRKotw07wTvmn+EG+edoMYJfu7QzWsOuwUW5owxxhTJcJ+/sXxcj9vgmbBbNavEFj0EDXLgxeonDp2b6N1rbqjh0NlBkp0i4giuO3UgVoGnz0Q5O/9q9tDKc+OLEJTt1d28w3mSK9yXmT8+zjrqqHHKZDXq4jbY9pD3f8gszBljjMkvVa9eW6y3LRbcLr0RdstmhVSrVBMXPSQSQESm1IuDqfPnUoXBxCA3rJU8q+vpcNvoHFuNO+SwSs7wgPN93lLZRYMOeI8nMDzGtOvhFcXCdV6Ia95KqUziszBnjDEmd6reDgmxjeVjwW24L+yWlbx879IQO2eqgsHJFj3EU6DCESJI0iHU+C24hOQD4dWVEUaiwnPjK+lw23hO1zFKFU30cmfkSXY4B2nG31HDhcRHmW49vIKavxq2PQgt20smxMVYmDPGGBOMKgycmjrHbfRi2C0rO4XYpQHSFwxOtegh3njUpboyknQIFbz5c4fODk4dRlV4TZfxkm7l+yNrGWQOdVziLc4BdshBNjjdVESSh8Rkj1FS6pd5IW7FjpILcTEW5owxxkzlRqH/5NQabuPDYbdsRsjHLg3JevbSFQyuiDgZw1R1ZSRtmEr8ercuZJ/bxpNuG+dopGpojCvlEDucTjbLUSrEe7yKiMN4wAUT8fXwQlW3BLY+AKveCo4TdmvSsjBnjDGzXXQc+l6fWsMtOhZ2y2asoLs0pJKqZy9VYKuujGQsJxKrRZdqgYTg1bB78jT8cHQD+9w2jrMEwaVdjnF/5Y/Z4nZRI1NfN7Eev0wLLxLr4aVTiGFqAOY0wdb7YPX1ECmPmFQerTTGGJMf4yPQ6we32Dy3vhNWfLfIguzSkE6qnj0nIjgJixgc8QLSge7U8xgrIw4bl8xLWUtuSKt5rXYzf3+unX3DzShCq3TzsDzGm5yXWRAZ8suOuAwn+RsgFraS1ZmLODIR9oIGsoIMU9fOh83vgrU3Q6Qyt3OExMKcMcbMVGNDl0uBXDjqBbi+E1gNt+JI13MUZJeGdFL14I1FXZwU87pSBcjKiMMNGxZNfB5rY+eZIfaPruIpNvN8tJXRgQpaq/r51SXP85bIy4z2dsc9t/qUQTD2vIIUMw4qH8PUE6rnQfsuWP8OqKjOui2lwMKcMcbMBCMDlwNbbKh0oAcLbuHI1HOULtgEGT5MFcyEqaVFXFW6Tg8kbWfEETYumTfR5lfODPLiaAtPchVPuxsY1GoWVVzip5teYXfjEbbWvnF5DUBT05TzZQpsmYoZBzXdYWoAKudA292w8Z1QWTvtNoXJwpwxxpSbod7Jq0nPH/bKg5iSkarn6EB3Pwe6+6iujNBUVzXlfkGHD1P17KWaF5dsHl1saHVJfQ0/ODuXL5xpoyO6iQvMo4YRrnZe5cFFx7hzyXkqSmxLrWkNU1dUw6a7YNOdUDW3AK0rPgtzxhhTqlTh0vnLgS0W3oYuhN0yk0HqvU8vh7QTF4YmjsdCmyNTA1my4cNk22o5IjgBy38AnKeBr4xsZ88ra3h1pJEIUbbKYR50vscV8hpVMk7NYISK5qk9cKkUquRKopyGqSOVsOF2aLsHaurz1pZSYGHOGGNKgSoMnp5aw20k+fCYKT3xw6Opy+qmFnWVaIr7JAuH3X1Dk4Jb7ON0jzygtex3N7JP23ltbBn0wEbnBD/jPMnVThd1Mrn0zPBYlMcOng48vy2vc9nSyGr+nVMB627x5sXNWZC3NpQSC3PGGFNsrgsD3VNruI1dCrtlJkdTt8rK77Bk4vDhyz39nL84mvS2ijeE6tV1E4Y1wnO6jg63nQO6migRlnGWe53H2eG8zELpT/vYSvAetrzMZQso4/w7icCaG2HLvTA3eO9iObIwZ4wxhRQd94vvHp5cw218JOyWzWrpFhnkUr8s1VZZMtFPJkzdfj6YZMOHJy+kL9487kIna/jP8U08q+sZoYr59HOrs58dzkFWyNms2xGkh226JVfyQ6D1bbDlPpjXXMTHDY+FOWOMyZfxUeg7PrX4rtVwKynp5nUBOc35SlUMV1FuaVuScZP7VCKO0NZcP+WxkwVDVTiiS9mnbTzlbmKAucxhmB1ykB1OJ+vlBM40d6PK1MM23ZIr07Zyp7drQ8Py4jxeibAwZ4wxuRgb9oJafHDrOwFaYvtKminSzeuKfZzsa+nCXLp5ai/39HNucDTrIBd77Je6++g6PTCpqK/E9fT16Hw63HY63DbOMJ8KxrlCXmOn08kWOUKlZPeaFHLvYctnLbmsLLsGtt4PC1oL+zglysKcMcZkMnpxag23/m6shlt5ymVeV7qv9fQNp30lxK9azdVY1KXz1OUewtr6Bey9sJoObeOoLkVQNsnr3OHsY7u8whxJPp8uGGF4LDoloAbtYctXLblAmrfCtoegaX1xHq9EWZgzxph4w/0JNdyOeKtMzYyRqdcp2x6p+CHaQrroVvIP3Sv48fE2DrgrURxWSQ8POt/jWucgjXIxL48T6/HzZvp5/9cUq4ctqEWbvBC3pD3slpQEC3PGmNlJ1avXFgtssfB26Y2wW2YKLNO8rqBzvnr6huk6PZDT8GlQ4+rwkrayz23neV3LGJUsopc7nX3scA7SIucL2j8cC3LXrSuR1aAL13khrnkrpNi2bDayMGeMmflUvR0S4leUXjgCw6k3HjczV5B5XZnmfOW6oCEIV+GQLqND29nvbuQitczjIm9zXmSHdLJGTk3kmGIM9BeirEjWGld5IW7ZdgtxSViYM8bMLKowcOpy7bbYJvOjg2G3zJSQdPO6gsz5SlWKZDpOahP73DY63DbO00AVo1wlh9jpdNImx6iQYDs75EpSlE8pblmRBPUtsPVBb5WqhbiULMwZY8qXG/UWIiTOcRtPX4PLmHRe7unn5IVhFEUQls2vYVPz5O2f8tVbdV7n0eEHuBMsxsFlsxzhPueHXCmHqJaxnM7riCAydWVuutu3NNZwqm84vLIi8eqWeKtTV10HjlP8xy8zFuaMMeUhOu7VcIvfp7T3GERze7Mz5SWXQr65nO/lnv5Jq08Vnfh8U3P9xP2m0yd3UavZrxvpcNt5RVcAsFZO8pPyKG9yXmaeTH/1q6vK8sZaTl4YCtTWiCNsaq6nsbaq+GVF4s1Z6BX7bb0BIhZRgrIrZYwpPeOjSWq4Hbfiu7NUvjdvT3e+VDsrnLwwTGNtFZ2n+nE1+yg3qhW8oGvY57bzoq4hSoRm3mC380N2OAdZJPmdvynA6f6RwKFz3N/XtahlReLVNMLmd8G6t0OksviPX+YszBljwjU2lKSG20nQws4PMuUj35u3pztfqi23FOXlnuyCnKvCy7qSfW4bz+oGhqimgUFudp5hp9PJSs4UbBqY4tWmCyq0eXFVddC+CzbcBhXV4bRhBrAwZ4wpnpHBqfPbBnqw4rsmnXxv3p7ufKkWAQgwHmD+mSocYwkdbjtPupvoo45aRtgur7DT6WSjHMeRcF/vuRYDzqvKOdB2N2x8J1TWFvexZyALc8aYwhjuuzy3LTbP7eK5sFtlylC2W0tlml+X6nwKVDjeJvXJvpbOGW2cWMjQw0IqGGerHGGH08k2OUyVFH+KQGXEwVWdsqBhaUMN5wZHw5kXV1ENG++ATXdBdQgLK2ao0MKciKwAPg80Ay7waVX9CxFZAPwzsBo4Cjyoqhf8+3wEeC8QBX5FVR/xj18NfBaoBb4F/KpqDpMajDHZU4VL5+OK7/qlQIbOh90yM0Nks3l7kPl1yc4XE6T3LWZAa3nK3cQ+beewtgCwQV7nHc5+rpYu5spI8CdZABuXzANC2Cc1mUglrL8N2u+BmobiP/4MF2bP3DjwG6r6jIjMA54Wke8APws8pqqfEJEPAx8GPiQi7cDDwGagBXhURDaoahT4G+D9wD68MHc78O2iPyNjZjpVGDwzdah0pDjbGZnZKejm7YkrUWMS59fF/u86PZDVvDKAYa3kOV3HPredTl2Ni8MKznC/832udV5mgQzk8hTzTmDK8w2FU+EtamjfDXMWhNeOGS60MKeqp4BT/scDInIQWAbsAm70b/Y54PvAh/zjX1LVEeCIiBwCrhWRo0C9qv4YQEQ+D+zGwpwx0+O6XvHdxOA2dinslpkZIptyI5lWWaYKcjHJhlWDLmYYV4dOXUWH286zuo5RqlhIH7c7T7LD6WSZlN4WcKEPTYnjlRfZch/ULQq7NTNeScyZE5HVwFVAB7DED3qo6ikRWezfbBlez1vMCf/YmP9x4vFkj/N+vB48Vq5cmcdnYEyZi457K0jjh0p7j8F4uMNEZubKNByabV25k2mCXMyjB08D3lwySF9QVxUOawv7tI2n3E0MMoe5DPFmp5Od0slaOYlTwhsS1IS2a4PA6uu8gr/zmkNqw+wTepgTkTrgK8CvqWq/pF6nnewLmub41IOqnwY+DXDNNdeE/oeLMaGIjkHv65N723qPWQ03U1TpyoMAKYNe7L7xIa93aDSrnqh0Q6undIG/kKGdszRSyRhXyiF2OAfZIkcKvqVWvIgjuC4py6XEbqM6uZcxtF0bVuyAbQ9Cw/LiP/YsF2qYE5FKvCD3T6r6Vf/waRFZ6vfKLQXO+MdPACvi7r4c6PaPL09y3BgzNpyk+O4J0BLYONvMaunKg6QKel2nByatzhwei/JS9/SL7fbq3ImVqK/TjODSLse42/kR2+UVanLcUmu63AyLMWoqI1y3rinvu2NkbdnVsPUBWNBavMc0k4S5mlWAfwAOquqn4r70NeA9wCf8//fGHf+CiHwKbwHEeuBJVY2KyICI7MQbpn038FdFehrGlI7Ri3Dh2OSh0v5uSmD2jJklsgkVqcqDgKQ4nl0R3EwuaRXP6Ab2ue106UoUYbWc4mF5jDc5XTTIxbw9Vq5ipVdSXY9YIA5t14bmrbDtIWhaX/zHNpOE2TP3VuBngBdF5Dn/2EfxQtyXReS9wOvAAwCqekBEvgx04q2E/SV/JSvAL3K5NMm3scUPZqYb7p+6MGHwdNitMrNYtltupSoPkm5IcbrGNMKLuoYOt43ndS3jVLCYC9zl/IgdzkGa5ULBHjtb8UOlB7r7kl6V0HZtWLTJC3FL2sN5fDNFmKtZnyD5fDeAt6e4z8eBjyc5vh/Ykr/WGVNC4mu4XTgC54/CJSu+a6Yvn8Nz2W651dxQQ+/QKCcvDBc0wLkKr+gKOtw2ntaNXKKGeVzkBud5dkgnrdJTsC21shFxhMqIk/R74V2nofB3bViw1psTt/QKSuKimQmhL4AwxvhUvR0SEnvchnvDbpmZgfK9eX2qOXDDY1EeO3iaioTdCCocwdXC9MSpwgkWsc/fUusC9VQzynZ5lR1OJ21yjEjIW2olWtpQw6bm+qRf29RcT2NtVXjz4hpXeT1xy7ZbiCtRFuaMCYOqtydpYnAbHQy7ZWaWyPfm9annwCXf9D2bnRaCekPr6XDb2Oe20c0iIkTZLEd4wHmcK+QQ1SFsqRXUqb5hGmurcq6zVxD1LbD1QVi500JcibMwZ0yhue7kGm6x/8eHw26ZmcWy3bw+NiQ7HLcZfU1lhKa6Ks4NjvrHi7/cZlBr2O9upEPbeVW9wgbr5AQ/Jd/hGqeLeZK5/lwpmE6Qzru6xbDlflj9NnCcsFtjArAwZ0w+Rceh7/jU4rvRcEobGJNKNpvXJw7JxoZGh8eik3ZdiBX+LHSgG9EKnte1dLjtvKStRInQwlnudX7Atc5BmqQ8t5dLFaSLZs5C2HwvrLkRIhYPyol9t4zJ1fioV3w3vset93UrvmvKQjab1ycbkk1F8XZYyGcZEYCoCgd1FR1uG8/oBkaoYj4D3OI8zU6nk+WcLfuRwNBWp9Y0wOZ3wdq3Q0VVOG0w02JhzpggxoaS1HA7CVq8avCm8LJZ3Rl6odZpCrp5PaSuc5ZKvoKcKhzRZjq0nafcTfQzlzkMc60cZIdzkA1yvKS31MpGKKtTq+qgfRdsuA0qqov72CavLMwZk2hkEC4c9YPbYS+8DfRgxXdntmxWd053JWhiEIzNO8tnMAwSNoNOqo/NkSuW09ror0Rt4zQLqGCcK+Q1djgH2SqHqZSZtYNJZcRh45J5xftjoHIObLoTNt4BVXOK85imoCzMmdltuO9yYIv1ul08G3arTAiyWd05nZWgyYJg/Lyz6ZYI6ekbpuv0wKTesemesxhBrk/n8JS7iX3azlFdiqBslNd5p9PBdnmVOTJS8DYUg+ANp4bSo1tR7QW4TXdBdQh7t5qCsTBnZgdVGLoQF9r8ADd0PuyWmRKRzerOXFeCel/P3MuV68rGxKCYj3NCYebAAQxrJc/oBjrcNjp1FYrDSk7zgPM9rnVeZr7MvFI9y+bXpqwnVzCRSlj/Dm9ItaahuI9tisLCnJl5VGHwzNRSICPlucLNFEc2qzunsxI06HB9LisbMy1UCHrO+PBZkecgN64OL2mrv6XWOkappIle7nA62OF00iIz4w8swQtusR0uBGHZ/NSFgQvCqYC1N3krVOcsKN7jmqKzMGfKmyoMnLq8KCEW3MYuhd0yU2ayWd1ZqJWg8WLBMJuFFkHCWk/f8ES7kp0zMXzmI8i5Cq/pMvZpO/vdjVykljou8VbnJXZIJ2ulu+xXoiaqroywqbm++L1wAOJA6w2w5T6oW1T8xzdFZ2HOlI/o+NTiuxeOwvjMmEtjwpXN6s5sbptLD1ssGGZaaJEY9DL1oinQecq7v6uXz3mgu4/uviEujUazXrmazkldSIfbTofbxhs0UMUoV8ohdjoHaZejVEh5rwYXYP7cKvqGxgIF+6K0aPVbYesDMK85hMc3YbEwZ0pTdMyr2RY/TNp7zGq4mUnyXR4kmy2Tgt421ZCs+OV1061mfeLQuaQLLV7q7qPr9ADjUXdi0Da2A4MjMhHUkkn2NQXOXxzN+FyCOK91POm20eG2c5zFOLi0y1F2O09wlbxKjZRvAW0BKiIO41F30vepJMrUrLjW23qrcUVxH9eUBAtzJnxjw0mK7x4HnVnlB0x+5Wuj+Hy9EacqN5Jsm6uII7Q112d8nHS9esl64BTQNEGuUC5qNU/rBjrcdl7RFSjCGunmJ+VRrnG6qJfynvYQW4Ea5LURdZWu0wMc6O4rTrBr2Q7bHoQFrYV7DFPyLMyZ4hq9mKT4bjdWw81kKx8bxeerXlxiYEu3zVVNkjf4xHIisbpj6TavD9uYRnhB17LPbeNFXcM4FTTzBvc4/8kO5yCLpTfsJuZFTWWE69Y1pfx6ujmG0y0Jk1bzVtj2EDStz+95TVmyMGcKZ2Rg6sKEwdNht8okMd3eqTCGmTKVBwnSpnzWi8v050hsm6vEYNDTN0znqf5Jw59jUZfOU/00zqlkZCxaMn/quCp06Qr2ue08oxsYopoGBrnJeY4dTierOD2jFjIEmfuWaYHLdErCJLVooxfilmzOz/nMjGBhzuTHpfNxuyb4/y6dC7tVaZXEPJcSkI/eqcT7d57qn5jTVahrm6rXqiLi8PgrZwP1kKQKhMNjUZ44dC5tu3NZpToWdenpG550zkNnB5POY3NVuXBxNPQgpwqvs5h9rrelVi/zqGGE7fIKO52DbJLXcSTsVuZPuh7UZIIscMlL7+qCtd5w6tIrmFGJ2eSFhTmTHVW49MbUHrfh3rBblpV8zbdKPGcxwmG+H2e6w5XJ7u+q4kbzs9VVqueXrDyII0LU1aThKNlzSjeMmanduaxSBaa0Id15woxIZ7WBDreNfW47PSwkQpStcpidznfZJoepkpmxGEnweuDG43pYBaGprmpaC1wSHyMxxAfWuNLriVt2tYU4k5KFOZOaqjcsmrhrwmj5V2XPx3yreIUIh8V6nHS9U0HegIKEmulsdZXq+SUrDxJ1NW1pjsS2JguEQdud63y2xDaU0ry4Aa3lKXcTHdrGa7oMgA1ynFud/Vwtr1AnwyG3ML9iC1F6h0YT5jjqxOeZ6sRleg1555sa4jOat9TriVv5ZgtxJiMLc8bjujDQPXmf0gtHYWwo413LUbbbMWWS73CYKH6ifaLphlCmrLW8LEhQDBpGglzbINcxXc/dYwfTz8lM3KEhPhCm66FLNuQa5E08SBvWLaqbMmeumEa0kud0HfvcNjp1NVEiLOMs9zmPc61zkIUyEEq78k2SbKMWe22NjCX/A+DkhaGMYS7xj4pU38XAv1vmLoKt98Pqt4EzdUcRY5KxMDcbRceh73hC8d1jEM1PnalykM12TEHkOxzGS7ff5nQeJ3bedPuEBgmKQUNNkGsbZFFDup67dMEycTJ7YihMt/9o/OP0Do3GbdEEFXFDdEHE2pC4EraYoip06mr2ue08p+sYoYoF9HOrs5+dTifLpbTnu2ajMuJww4ZFKYN+ugCmBBseja85+MShc7n9bpmz0Nt2a82NELG3ZpMde8XMdOOjXnCLn+PW+/qsL76bzXZMQeQ7HMYLMtE+l8cJOoE/U1BM7JmIFVVNPHOQRQWZrmOmnrtUwTJW6iPVllXDY1EckbQFd6Ou8nJP/6TgppBVkAPoOj1Ad9/QpMUNxeiTU4XDupQObecpdyMDzGUOQ+xwDrJTOlknJ3Bm2GieAEvqq4H0r62RMTflHzXZ9npn/bulpgE2vwvWvh0qqgI/jjHxLMzNJGNDk2u4XTgCfSdAy3vLnELIZjumIPIdDuNlClO5Pk7Q3rwgQTG+ZyJWaiNZ8dr4Hi6Yev0zXcdMPXdBv6+pFm1URhyqHCdl7162wS2Zsaibt90WgujR+ezzt9Q6y3wqGeMKeY0dzkG2yuGy31IrHQVO9Q3TWFuV9rWVOGcuXra93oF/t1TVQfs9sP42qJx9q+hNflmYK1cjg3GlQPx5bgM9WPHd4LLZuinIuSB/4TBeuqHDoOUTksm0jyfkFhRTldqIiVXIj191OjwW5aXuPiojDksbauJ2TpCJnjcI1gMa5Pua6g16POpyw4YlKYfKykWvzuVJdxMd2s4xbUZwaZPXucv5MdvlVWpl9kypiL1+YvX9kv2MNjfUcKpvOGlPdS693mlfg5W1sOku2HgHVM3J+tzGJGNhrhwM900tBXLxbNitMgnyGQ7jJZsg74jQvjTzdlCp9KR440q192Q2gvRkpAqRY1GXU33DLE14c4316CUeh9wCZ6ZQmOvihjBd0iqe1fXsc9t5WVeiOKyWUzzkfJc3OS/TKBfDbmJBbWlp4KXuvqRfi++5TfV6bmuuL1jvOgAV1bDhndB2N1Tn6ZzG+CzMlRJVGLoweXP5C0e8um6mrOSjFly6FazTlar3rMKfLJ6uPZme03RLbURdnVhgkHj83OAobc31ga/t5EUG3mrGyoiTdAg49sYdu0/U1TTrfEvDmEZ4SVvZ57bzvK5lnAoWcYG7nH3scDpplgthN7EoxF9Ckur7FXSqABSgdz1SCetuhc27vflxxhSAhbmwqHq9a/HB7fxhGOnPfF9T0vJRCy7TClZXp1f2JN0wY+zxEzeNT9ZTBlOfUz56tVJNRh8ei2YV5CZvt+X9n6xXMLZAApjUC1qKQc5VeFWX0+G2s183cIla5nGR653n2SkHaZVTs64smeL9PCT7fgkE7l3La++6UwFrb/JWqM5ZkJ9zGpOChbliUIWBU1OHSscuhd0yUwD5qDkXZKXpdMqeZLsVVrLJ4ameU3NDzZTyHY4jWYW7ZDXBvOOXt0bKFJKz2W5rLOqmHKIrFcd1ER1uG0+6bZynnmpGuUpeZafTSZscIzKDttTKVk1lJOXPg1KATe7TEQdab4At90Fd8l5uY/LNwlwhHf1PePURb6HC+EjYrTFFko+ac0FuO52yJ9luhZVKsnb29A1zqu/yMGnsbEHrsUUcSTo3LtkQWrqQnI8af2F7Q+fR4bbR4bZzkkVEiLJZjnKf8zhXymtUy1jYTQxdbHg81ZSEmrifk8JuuSew6i2w9QGoX5qncxoTjIW5QnrjVTjbFXYrTJHlo+Zcpnln2U7MTvYmljj3LNNWWKnamShVz2Q6sZ64+NW5jbVVk9qXboeGxw6envLmXErbZGVjUGt42t3IPm3jVV0BwFo5yU/Jd7jG6WKezMxdWXIR/3rxeoOHJgX++J+Tgm65t+Ja2PogNK6Y3nmMyZGFOWPyLB815zLNO2uorcx5/l3sTaytuX6iXANk3gorVTsTZdMjFnGEmzYuntLeJw6dmwhxm1saaG6oSVsuRPGeV+epfrpODzAedYmUUQXcUa3geV1Lh9vGi7qGKBGWco7dzg/Z4RxkkZT2EHA+ZLPYJHE19+Xe4MnnWxo3B64gW+61bIdtD8CCNbnd35g8sTBnTJ7lY1Vcpj1Dz18c5eWe/oz7RsbOEeRNLNuerIgjHDo7yIHuvknPMZvzRF3l8VfOTpRCSbXQondoNND8N1cVN+rdLh8FfgvJVeGgrqTDbecZXc8w1cxngFucp9nhHGQFZ2bdQoZb2pYA3h8W6b57EUcmvXaTvcYVODd4uZ5eXrfcW7IFtj0EizZkf19jCsDCnDEFkI9VcbFzpHpjC7IJOAR/E1u3qC6rRQCuqwy7UxcjZLuaNTa0m26hRarq/OVGFY7pEvZpO0+5m+ijjlqGuUa62Ol0skFO4MzShQzxQ/aZ/iAYT5gOEOQ1npct95o2wBUPw5LNwe9jTBFYmDMmD9JNrJ7upOt0m4AHEfRNrLmhhq7TA0nnzUUcwXUnry9NtRjhunVNk1azFkqp14CLd1obedJtY5/bzmkWUME42+QwO5xOtslhKqX85vblU+Lctmz3Ig7yGp/W9IcFa73h1KVXMuu6S01ZsDBnzDQlm5N2oLtvYnuqxG2r8jbpOkOb4je+T9xAPtWb2MYl85K+4TkiRANEp5Gx6JTVrIVS6kGuX+fwlLuRDm3nsLYgKBvldW53nuRqeYU5YivcY9qavflvmeorQvLXbpCgltP0h8aV3sKG5ddYiDMlzcKcMdOUar4OJC9Qm+2k60iKGm2pJvgnviEmtiFWIDfZ46d6wzsQePhVJvZdnY2GtZJndT0dbhuduhoXhxWc5gHn+7zJOcgCGQy7iSUp3SKFeKleu0GDWuDpD/OWeiVGVr3FQpwpCxbmTFkrbN2oYHKZQJ3Nfdqa6znQ3TelJ8oRoadveMrzzfSGmKmOXLI3vM5TfQQpP6coY9HZFeTG1eGArqbDbec5XccolTTRy+1OBzudg7SIbccXVKafi3Sv3bzs3jB3EWy9H1a/DZzc6zgaU2wW5kzocg1kBa0blYVc6pllM+k69lwS57ONRd2J4dz4eluZ3hAz9Qwmfj/mVEUoREdbOc15S6QKh3QZHdrGfncjg8yhjku8xXmJHXKQdXLSOnQCqow4Ex9n+lmadimRVGoXeDs2rLkRIva2aMqPvWoLYM+zJ/nkI11cP/Aid1afK0hvUSn0SOXDdAJZrnWjcrl26e6T7erNbPaKjGluqOHQ2UES3+dijxh/3YKEy+GxKE8cmvraTPb9KEThXUck6Wb3+RB0p4lcdOtC9vlbap2jkSrGuFIOscPpZLMcpUKyK7o82yQGeEdkYk9cCPazlNedPWoaoH03rLsFKqryd15jiszCXJ7tefYkH/nqiwyNRdFIYXqLSqVHKh+mU8gzl7pRuVy7TPdJrAmXqccp170ig/S4dZ0eCHy+ZM89n/PdYitgY/Xjzg2OTizIGI+6BeuVy/d8vQta569EbeM4SxBc2uUYu5z/5Cp5lRrbUiuQBXOraGmoTfuHVKb6ijC9bewmVNVB292w4XaoLK/fmcYkY2Euzz75SBdDCb+E8j00UJBK5iGZTiHPXOpG5XLtgtwnPtT19A1zoLs/5WpOIbfxtyA9btluxxX/PHr6hrO+fzquC2/3i8D29A1zbnAUhYIGOcjP0O0lreZp3UCH20aXrkQRWqWbh+Ux3uS8TINcysOjzB6OCNtXzp/4PBboDp31FoQkBrpUK1uz3Ullispa2HQXbLwDqubkfh5jSkzGMCciA0z9/dgH7Ad+Q1UPF6Jh5aq7N3lx03wODeS1knnIplPIM5e6Ublcu2zvE3tjSlWAV9FJ21UFHSLPdjg3qNjzyKZXL4hYmE18Uy7VeXJjGuEFXUOH284LuoZxKljCee52fsQOp5Ml0ht2E8tWbOV1Nj3j+dhJZUJFNWx4J7TdBdXzMt/emDITpGfuU0A38AW8KQ8PA81AF/AZ4MZCNa4ctTTWcjJJoEsVTnKZv5WXSuYlYjqFPHP5ZZ/LtcvlPukK8ApMnC/oEHnsdRJ1dWJT+nwtIHAc4YlD5/LaKwdM9D9mWl0bJlfhFV3BPredp3UDQ9TQwCA3Os+xUzpZJadtIUMexHZsyLZnfNorVJ0KWP8O2Lzbmx9nzAwVJMzdrqo74j7/tIjsU9XfF5GPFqph5eqDt22cmDMXkyqc5Dr3LVkAEqCprvwm8E73r+9sf9lnCo89fcOTQlhlxGFJffWk/UIT75NKsgK8yQJYujezxPaA1+PliNDSWDMxD626MkLU1ZwCWdRVom4BFjn4vTGl1mOsCsdZTIe/kOEC86hhhO3yKjucTjbJ60Rm6ZZahVLhr1gt2qiCUwFrb4LN98KcBfk9tzElKEiYc0XkQeBf/c/vj/ua/cZLsPuqZYA3d04GmFQyIlGuc9+aG2r87ZKGJr4BCpzqG6axtqrs5s3lpT5UFo8FycNjT98wnaf6J9WyGou6dPcOTwlOQQJnssdKNect2ZtZumr4riqn+0e4YcOiSbdPbH8+OAKqkvWODlHXG06uiDhpQ2ayrcIK4aw20OG20eG2cYomIkTZKod50PkeV8hrVMl4gVswc1Vm+B6PR116+oYLP6ogDrReD1vuh7pFmW9vzAwRJMz9FPAXwP/Gywz7gJ8WkVrgAwVsW9nafdUyL9Q9/Tp0nUh5u+n8lRqbTB6vXBdBFEOQ4eyu0wNJg5CryrnBUa5b15T14yYG1ScOnQv8ZpZpeDL+zTPWg5f/ICe0L/W2Wnr04Oms7x9b3ZtKrKJ/qvmF0zWgtex3N7JP23lNvT+01stxfkb+g6udLupkuCCPO1tUOMKNGxcD8PgrZ1MGOsV7PU9rf9S0xNutYev9UN8yzXMZU34yhjl/gcPdKb78RH6bM7tM56/UYgxXzKZadplWcubrumbzZhb0MYPsZ5kL4XKQA6+XOZeac+laNRZ16To9kNcCwiNawXO6jg63nQO6migRlnGWe53H2eG8zELpz9MjGYmbUJipbuDIWDS/ixpiVlzrbb3VuDL3cxhT5oKsZl0EvA9YHX97Vf0vhWvW7DCdv1ILPVwx22rZxUokpJKv65rNm1mmUiSxyvlBFhjkEpYU5UB3H4fODtJUV1WwRQz5WHgRVeGgrmKf286zup4RqphPP7c6+9nhHGSFnM1DS02i2MKGnr7hjIWaYz9DeZtW0XIVbHsQFqyZ/rmMKXNBhln3Aj8EHgVKayZzmZvOX6mFG65gok2lUMsuH72DQXox0/WCOZK/6wrB38zWLapLOQdOYKJyfpAevFxjmOIF+RMXkpfcCZMqHNGl7NM2nnI3McBc5jDMDjnIDqeT9XICx1aiFlRF3B8U6eT1Z2jJZtj2MCzakJ/zGTMDBAlzc1T1QwVvySyV61+pBRmuiFMKtezy1TsYpBcz1W0EJg015irfQ9YiQu/QKIfODs66VUg9Op8Ot50Ot40zzKeCca6Q19jpdLJFjlAp9jdnsURdpadvOO3vhYgjtDVP/2eIpg2w7SFo3jK98xgzAwUJc98QkTtU9VsFb43JSiFXgZZCLbt89Q4G6cVMdZt8vAnlGkoPnR1MuaDBVS3J3rJC6dO5POluokPbOKpLEZRN8jp3OPvYLq8wR0bDbuKs5Kr385jq90VlxJm04jonC9Z4w6lLr8SK/hmTXJAw96vAR0VkBBjDn36jqvUFbZkJVaGHcdOJ9WJlU8YjnSC9mIXs6cw1lOarF9Tx3wDzvdI1iOksbBjSKp7R9XS47RzUlSgOq6SHB53vca1zkEa5mM+mmhyNjEXZ3NIw5fdF7HX32MHTuf08Na6ErQ/C8mssxBmTQZDVrLb3ySxU6GHcVIKszIzvHQw6fJm4d+qhs4Mc6O6bdJ9C9HT29A3nHEqD7MWaSWxFamJdwmLJ9vHG1eElbWWf287zupYxKllEL3c6+9jhHGSpnC9IO03uqisjU35fVEScSUWss5oiMW+ptzp11VssxBkTUMowJyKbVPVlEdme7Ouq+kzhmmVKQTGL+cZkWpmZuFtDtsOXye7zUncfXacH2LhkXl6fb+yxUkk2ZB0fTisizrRLdig6cU1zPY8A8+dWcWk0Ou1wmYyrcEiX0aHt7Hc3cpFa5nGRtzkvskM6WSOn7D29RMX/PMb/vki2PVzG3ui5TV6IW/02cMpva0JjwpSuZ+7XgfcDf5bkawrcXJAWmVktXW9V4m4auQxfdp0eSBoWx6Ju3kuvZAqmw2NRHj14eqJwLjApaOZrr9RcAlhsV4bE3s6Xe/rzNlfvhDaxz23nSXcT52mgilGukkPsdDppk2NUSH73ijX5JaSeU5rVAqraBbDlXlhzE0SCzPwxxiRK+ZOjqu/3P3ynqk4qky4i5VVozJSNdBOpgYm6Z+sW1WW94jZTYeBsF1dkGuINOudtLOrSeaqfiCMltSH95paGSc+np2+YU33T2zHhvM6jw21jn9vOSRbh4LJZjnCf80OulENUy9h0m22KINPioEALqKrrYfNuWHcrVJTfvtLGlJIgfwb9CEgcak12zJiMMgWgZAsvHJGk829S7fmZasVtplpYsXM/cehcxjl4QYZ4M+1JGs9VxY0GD3KVEYeIIxPbZeU7AiYLtkGKEyczqDU8rRvocNt5RVcAsFZO8pPyKG9yXmaezJ5VueVAECoikvK1m26/6Zi0C6iq6qDtbthwO1Rav4Ax+ZBuzlwzsAyoFZGrYGKLxXpgTj4eXEQ+A9wFnFHVLf6xBcA/4+04cRR4UFUv+F/7CPBevOLFv6Kqj/jHrwY+C9QC3wJ+VTPtLWOKLlkAOtDdR+/QKJuavcXRyRZexAe5mKirOBGZ0puVbsVtkJ4y4fKwZKx9L3X3TbyBxdqWrNch6ioHugu/S0bEkYn5fan2es2HxPNms7p2VCt4Qdewz23nRV1DlAjNvMFu54fscA6ySAqzF6sJxhGhpbGGU33DScvxHEixV65AoD2Kk/0cr25uovnND8DGO6AqL28hxhhfup6524CfBZYDn4o7PgB8NE+P/1ngr4HPxx37MPCYqn5CRD7sf/4hEWkHHgY2Ay3AoyKyQVWjwN/gze/bhxfmbge+nac2mjxJ1rOjwMkLQzTWVk28ASQuvHgsxQbv41GXzS0NgVfcZlodmqyHK/b58FiUzlNeUEtX4kNROk/103V6IOs5b7F5apn+CnFEOOAv2sjXvLpUvvvyGSKOTGzblI6rwsu6kn1uG8/qBoaopoFBbnaeYafTyUrO2EKGEhFxhE3N9TTWViX9+Un1B0s2dSYnfo4jVbDxnV5vXLUVRzCmENLNmfsc8DkRuU9Vv1KIB1fVH4jI6oTDu4Ab/Y8/B3wf+JB//EuqOgIcEZFDwLUichSoV9UfA4jI54HdWJgrOal6dpTLQ6DJ3ljSzb/JZsVtsqGfWIALsol80Dpt2Q6ZTtwvQJATLi+MyBTk8jH8mum5qMIxltDhL2Too45aRtgur7DT6WSjHMcR6yQvNbFwnurnJy91Jp0KWP8OaN8FtY3TbbIxJo0gdea+IiJ34vWI1cQd//0CtWmJqp7yH+OUiCz2jy/D63mLOeEfG/M/TjxuSky6nrHYnLNkc9DyVcA4U+28Qg5ZxkT8zUKTzT0LEuSCxiIRoZAzDc5oIx1uGx1uGz0spIJxtsoRdjidbJPDVMl4wR7bTF+mHrZp1Zl0KmDNjbDlPpizIA+thT3PnuSTj3TR3TtES2MtH7xtI7uvsl/zxsRkDHMi8rd4c+RuAv4euB94ssDtStqUJMc0zfGpJxB5P95wLCtXrsxfy0wg6xbVcaC7L+k3R5i6kjM2CT82RyfVG0s2+56m68lLFhrzKTbvLtV8pFSE7BZTAAUJcv06h/3uRvZpO4e1BYAN8jrvcPZztXQxV0by/pgm/4L+IZR1nUlxoPV62HI/1E1zC684e549yUe++iJD/h9aJ3uH+MhXXwSwQGeML8hq1reo6jYReUFVf09E/gz4agHbdFpElvq9ckuBM/7xE8CKuNstB7r948uTHJ9CVT8NfBrgmmuusbGfDPK9OXxzQ03SnQjSleSI9ZSlemPJdd/TVO0DONDdT6oBT0dk0nBr0K2yaiojXLeuiZ6+YbIdAN3c0jAxX6/YhrWS53Qd+9x2OnU1Lg4rOMP9zve51nmZBTIQSrtMbgRYmvdi4AKr3uwV/K1vyeN5PZ98pGsiyMUMjUX55CNdFuaM8QUJc7HCUpdEpAV4A2gtXJP4GvAe4BP+/3vjjn9BRD6FtwBiPfCkqkZFZEBEdgIdwLuBvypg+2aFfIakeKkmXacKUJK04/WyXPc9TaW5oSZtz1n70vopbc+0VVasJyR2TbPdi6HzVH9R91UdV4dOXUWH286zuo5RqlhIH7c7T7LD6WSZvFG0tpj8UuB0/wjnBjOX3wlk+Ztg24PePqoF0t2bvHRNquPGzEZBwtzXRaQR+CTwDN7vg7/Lx4OLyBfxFjs0icgJ4HfxQtyXReS9wOvAAwCqekBEvgx0AuPAL/krWQF+kculSb5NyIsfYvM7rh94kTurzxVlT9N8SxWSuk4PZPVcUvXuJZ7jpRQBKlPwybZwcBCp5vbVpFhwcejsYMpWxtfkeuLQuZyGcNMFOUe87bCmSxVe0xY6tJ2n3I0MMoe5DPFmp5Od0slaOYljK1HLRmWaYfmxqEvs5Z3zH2lLr/RC3MK102xpZi2NtZxMEtxaGmsL/tjGlIu0YU5EHLwyIb3AV0TkG0CNqualSJSq/kSKL709xe0/Dnw8yfH9wJZ8tGm64ud3aCR/PVrFlioMjUVdevqGAz2XbHr3Uq0mrckwUTtQpfksZbvgItW1SqzJNZ2AmYqqEHGSL6gIolsX0OG20+G2cY5GKhnjSjnEDucgW+SIbalVpiKOEHEyr9CGLHuyl2yGbQ/Boo15aGUwH7xt46Q5cwC1lRE+eFvx2mBMqUsb5lTV9efIvdn/fASwWc5pJJvfMZ1hv7CkW3ka9LlkMwSabueHxw6epsLfzms86k7q4cvXStd4sbbF13Fz0hRICxooU91uOiVEFCXbUnO9OtdfidrO6yxBcGmXY9zj/Ijt8go1tqVW2Yu9zoK+tjL+odG0wQtxzcX/mzk2L85WsxqTWpBh1v8QkfuAr9quCpmlmsdRiF6ZQlq3qC7l0GfQ55JuCDTZ8Gtbc/1EsVJhco2z+CGjZD18+VyoERM/vDkWdac8Zuw5JNtSS4Cmusn7Ta5bVDdl/lusEv+5wdGClkW5pFU8oxvY57bTpStRhNVyioflMd7kdNEgFwv22CY8seX+sVqKyXZTgTQ92QvWeMOpS68kzIrPu69aZuHNmDSChLlfB+YC4yIysRRPVesL2rIylWp+x3SG/ZLJ90rTRM0NNSl3GAj6XFL1RFVEnKTDr23N9YHLg8T38GVdQiGATL2KiUPIyXaOONU3PGlni2RcVU5cGKKmMsKWloYpiykq/JW+ufwVNaYRXtQ1dLhtPK9rGaeCxVzgLudH7HAO0iwXcjirKTexIBdbTZ2sJ7uprmrSnsQtqzaw5uaf8xY42LYdxpS8IEWDbf+VLCSb3xF02C9IQOvpG54Ssgo1L2/jknnTGsJMNQQKU+d4xYJSsq+lMjwW5bGDpwsSZjMtrAiy6XziXq1dpwdSLmaIfQ+XNtTgxJVqGc9yLpyr8IquoMNt42ndyCVqmMdFbnCeZ4d00io99t48A4nf/5bq1RJ73SbryW6qq5rYo/W0LmDv0Ft48dBm/njbMnavsBeLMeUgSM+cyUL8/A4ZmLyaMZ0giwWS/VUdU6h5eY4IUf8tojLiTGzwHkSqIdBUpT9yGYpWChNmM82DC9pWRTnY00/v0GjGor9RV9OWOEn5GAonWMQ+f0utC9RTzSjb5VV2OJ20yTEitqXWjDZ/biXbV85PuYuJAo/6exwn/hw/cegcZ6L1fM19Mz92N+PiwJg7qY7bdHdgsB0cjCksC3MFMDG/4+nXoetE5jsQbLFApt6gfM7LSxYcc6l1lqqUR7qglMvcsXyH2UwLK9ItEEnWtpMXhjPfkOwWQryh9XS4bexz2+hmERGibJEjPOB8nyvkNaptS61Z4/zFUV7u6Q80TWEs6k4UoW5ubuHvh7fxQ3crUSZPn4jN/53uDgy2g4MxhWdhrkQEqZeWKazlc15evovxxssUlHLdUiufYTbTwopst/7KbdbbVINaw353Ix3azqvqbXyyTk7wU/IdrnG6mCdWSHW2OnlhmE3N3lTmdLuYAPRpLX9+fid/8r7f4NWuJ4imqeM23R0YbAcHYwov6zDnFxD+Jb/mm8mTIOUt0vUGTbccR6JCFOONCbICNdnii4gjk1a8Jsr3IpN0CytSzT06eWE4b8EtZkQreF7X0eG28ZK2EiVCC2e51/kB1zoHaZLst/qaTjkUU5pir7t0u5hcooZvR6/lu+5VjI5V8ScVVRnruE13BwbbwcGYwksZ5kRkBfA7eFtn7QG+APwB8DPAF4vRuNkkSL20VL1B2c5lC6IQxXjjZQpKsRWjqQJfvmvLBZGsPfFFgQEaa6sC99g5IkQcSTqXLqrCQX9LrWd0PSNUMZ8BbnGeZqfTyXLOTmshgwW5mSd+67vEn99hqvmP6NV8x72aIbyfoWV+z1umOm7T3YHBdnAwpvDS9cx9Hngc+ApwO7APOABsU9WeIrRtVgnSW1XImmqJClGMN1upAl8xr0NM0N0smhtq6B0a5cSF9L0O8QtjHjt4GsVbyHBEm/0ttTbRz1zmMMy1cpAdzkE2yHHbUsuktGz+5ddh7Od3yK3gseh2/t19Exe5HJ4qHZm0g0K6Om7T3YHBdnAwpvDShbkFqvox/+NHROQ08CZ/FwhTAEHqpRWiplqqx4H8B6Z81ccr1nWIyWYO4bnB0YznGx6L8lJ3H919Q1yILOTx0Y086bZxmgVUMM4V8ho7nINslcNUSnkVnDb5JcCc6goujURTDuHPra6YmC8H0Dy/jlNLb+YTB9fQ1ed4fwT4d22sreRj92wOPF9tujsw2A4OxhRepr1Z58NE330PMEdE5gKo6vkCt82ELN+BKZu9WktNNnMIg8wr7NM5POVuYl9fO0d1KYKyUV7nnU4H2+VV5oj9zWSSlzZ6uad/Ym6mICybX3M5yEkE1t4Em+/lqrkLeWR3ftox3R0YbAcHYworXZhrAJ4G4gd2nvH/V2BNoRplZqZCrpCdjiC9hdnMIUx122Gt5BndQIfbRqeuQnFYyWkecL7Hzyw9yZkzpwK3OfZD6W3XJMypjnBpZNzmws0QlY5ww8bFSb+2qbl+Ui+cR6D1eth6P9Qlv58xZuZKGeZUdXUR22FmgVQrcYu5b21icIuvfh9rY7LewmzmEMbfdlwdXtJWf0utdYxSSRO93OF0sMPppEW8Du5tC5fwxIXgtes2tzQE2h3ElKdUQW4qgVVvhq0PQH1LQdtkjCld6Vazbk93R1V9Jt3XzeyUqperp284ZTmMfJcUSde2xGHeZDsuJOstzGYO4eL6Gp4bXsK/vLGafeMbuEgtdVzirc5L7JBO1kp30pWoQWvXVUaclAtDDp0dpIjZ2BTAlpaGYDdc/iYvxM1fVdgGGWNKXrph1v14q1fP+p/Hv/0ocHOhGmVyl68FBrk+dqo5cYfODiYNcgJFWyGbbJg3016W8TLNIXxluIE9F9awt7eVk2N11MoY72g8zrqh51kfPUyFJO8xc8S7domBsSLiMO4qmrDzxljU5fFXziYtR1PMXk6TfwvmVmX+eV16JWx7EBauLUqbjDGlL12Y+w3gPmAI+BLwb6o6WJRWmZyEvcAg3Zy4VCFDi9Q2yC7oBO0t7B6dw9d7W9nT28rB4QVEcHnbvG4+2Pwst9YfZ25k3P++KKlGP11l0vcp/no8/spZxqJTI+dY1E36vc1mmzFTWhbMrWL7yvmpb7BkM2x7CBZZSQ9jzGTp5sz9OfDnItIK/ATwmIgcA/5IVZ8rUvtMFsJeYJBuxWeqkFFTgCHWVL2TqdqQOPwbcYSmuiqeOHQuaQ9n33gV3+pbxZ7eVp68uARFuGrOWX6vpYM7G4/RVDF5H9bY/dLNZ0v1fRpPM/8t2X3WLaqj81R/TvvomvDMra5IHeSa1sO2h6F5S3EbZYwpGxm381LVIyKyF6jF2/1hA/BcgdtlclDILbiCSLfis1hFiNP1TqZqw9KGGs4Njk5aFNHdOzwRiIbHojzffZHvXmzl+6Mb+f7AMkY1wprqPv7bkufY1XiEVdXpO62DzGdL9n2qiDhpFzQMj0V57OAZFKXGb7vFuPIyt7qCN69ZOPUL81u94dSWq5jWdh/GmBkv3QKINcDDwC7gON5Q68dVdTjVfYxnz7Mn+eQjXVw/8CJ3Vp8r2ry1Qm/BFS9Z71e6wFasXRvS9U7Gtt7K1IbHXzmLq4qrQpeuYJ/bzjO6gaFz1SyquMTPLOxid+NhttSez+o9NlOoTvw+9cStsk0nVkg21YKOVCocoSLi2LBsiJIOrTas8BY2rLjWQpwxJpB0PXOHgBeAvUA/sBL4r+L/clHVTxW8dWVoz7MnJ7au0Uhx562F3fvV1lxPW3N9yrBUjF0bMvVOpmpDLJwOj0Y5xmL2ud6WWr3Mo4YRtssr7HQO8kttI0Qkt76vdPPZkn2fDp0dzHq4NJtbj7vKjRubePTg6awew+TH8vm1k+vFzWuGrQ/CqrdYiDPGZCVdmPt9Lr83FG9DzjL3yUe6Ju1BCMWbt1YqvV9hFgDOpXeyp2+Yx08JPx5/E/vcdnpYSIQoW+UwO53vsk0OUyXjAJztb8j5+qYqPVIZcUJZmSp4uwmYcEwEublNsOV+r+ivU5wyPcaYmSXdAoiPFbEdM0Z3b/IN1os1b60Uer/ClE3v5Bvj1XyzdzX/2LOCV12v4OoGOc6tzn6ulleok8kzCiKOTGu1cHNDDb1Do6m3YkpQ6JWpCpy4kPz1agprwdwqqJ0Pm++FtTdDJOP0ZWOMSSndnLm/THdHVf2V/Den/LU01nIySaArVmHcYgjS+xVWvbtMvZOX3Aq+07eCPb2t/GCghSgOyznLfc7jXOscZKEMJD2vI4IjMmUxQtBe12S7MyjKqb5hGmuT1xZLFkxTFV6eTUrtGiyfX0tjbRUvdfcFun1NXSPbd70P1t0KFVUFbp0xZjZI9+fgLwAvAV8GuplcNNiksHph8jA3p2rmhLlMvV9h17uL9U7GAuULJ/v5Sk8TL1Rs5YdDq7nkVtJSeZH3Lepkd+NhTh9/Ne2K0dgw6IEUb9aZeiQTr0e8qKsc6O7nQHdf0jmG4AXT4bEogkwsdghKRKYUHS5njggtjTVF71FMFSArI85Ez2qmMHfLFWug7W7Y8E6oDG8qgjFm5kkX5pYCDwAPAePAPwNfUdULxWhYudp3OPnluXBxrMgtKZxMvV9h17sDONU7zDdPzeVH0Wt4yt3IwPhc5o4M8Y66Q/zE4mO8ae6ZiZ0XujOsGI0tQsh1tXCy6xEvfjXqS919dJ0emJhDF7teQbb5SnruMg9y8SEqfm7hucHRoq3CjZWvOZWwujjiCBuXzMt4/2GquOuB98GmO6BqbiGbaoyZpdLNmXsD+Fvgb0VkGV7h4AMi8iFV/cdiNbDcRFO8eWbbo1Lq0s3NC3NO3WvD9eztbeVLZ1dxRhupZIwr5DV2Op1skSPUucKOuqaJ2wdZMRoLormuFs72ecfv7gBwoLt/xr1+Mok4QltzfcrXWNB9bKcrfsVpY21V2qkDt7QtmbQyeJRKHotu589+97ehOnPoM8aYXGWcdSsi2/GC3K3At4GnC92ochYRSRroZBaNUhez3h3A6bFavt67mr29rbw41ISDyyZ5nTsjP2K7vEqtjE7cdiShgzRo0BoZiyYd9owFPUg9hJzLQoaoq3SdHsBVTRvkchl6LXU1AeZYJusdzndPXU1lZNLilCCLi25pWwJOBay/Fdp3c0dtY17bZIwxyaRbAPF7wF3AQbyCwR9R1fFiNaxcNdVVcnpgdMrxqorZE+aKUe+uP1rJv/etZG/vGn48uAQXh2215/idpU9xd+NRXjl2PFCgDBoCYvdLNuyZaU5grr1I6ebxxTgOKfd8LUc1lZGJ4s6ZJIardPXyYosUgn4fcnq9SgTW3uStUJ2bZEcHY4wpkHQ9c78DHAau8P/9kV8wWABV1W2Fb175SRbkAEbGZ9A7bgaFqnc34jp8f2AZe3tbebR/BaMaYVVVPx9Y/CK7Go+wtuby0KQbMFCuW1THge6+tH1biffLdk5g4vWoiDhAsLCWSaGHGYtpuoG/MsXWZxFHJvWwZVqoEKRncDLxasRtvR/qFmfTZGOMyYt0Ya61aK0wM06+6t25Ck9eXMLe3la+1beKvmg19Vzibc5zvK2qi9uWDLK0MXOAShUomxtq0r65J3tjz2VOYPwK20LP9SqnodeaykjeAv/GJfPoPNU/aQ6kI97cu5jY+ZMFeAE2tzRkF+JWvdnbequ+Jed2G2PMdKVbAHEs8ZiI3KWq3yhsk4yBg0ON7Oldw9d7W+kem8scZ4zra4/SPvo8G/Wot6WWCy+fFkSSD28GDZQ1KYZaUw35TWdOYKaVrflQDkFOgLe3LcnrObMJ8MCkun+pduFIafk13tZb81fl7wkYY0yOsi07/vuAhbk03rp2Af/52vkpxxfMnZ3FQbMpHnxydC57e1vZ29tK1/B8KnC5fl43H2p+mlsbTvDM4R6GiU6qeJhseDPbgsXZzvFLVcy3qS7z93i2bWqfz563IIIG+Jx7jpdeCdsehIVrs7+vMcYUSLZhbvbM4s/RP73vzfzU3/14UqBbMLeK7Svnh9iqcAQpHtw7XsU3+1axt3cNT170emqunnOGP2jp4M7GoyyoGJk4X5DhzVwKFmc7x+/ytlxDE31gCml3c4i1LVXx2YgjM2r+G2S3mKHkLW6HKx6GRRvDbokxxkyRbZj7+YK0Yob5p/e92fvg6bPQdSLcxoQo1UKBzjPD7NeN7Oldw+MDLYxphHXVvfzmkmfZNf8IK6oGk54vyPBmrgWLk/XUJPbwNdVVcW5w1A+PMiWUZXqcQ2cHUw6ALvXvEx8QwZvzBWSshVdq8r16OTRN62Hbw9C8JeyWGGNMSoHCnIjcA1zvf7xEVb9e0FaZGSG+xyyqwsu6kg63nWfG1jP8ejXNlRf5uYUvc8/8Iywc6ea1c4O8cj7KsRQ9Y0GGQ/NVsDhZD9/kLaSSh6t0j5Pua6f6hmlrrk9amBYu17YrF0vztAAmNPNbYdsD0LIdxAYkjDGlLUjR4D8GrgX+yT/0KyLyFlX9SEFbZspeVUWEl0cX0aFtPOm20c9cahlmR+QVfn5VNzvmniEi6gWn05mHRoMMh+arYHGuCxXSPU66fVJjvXrXrWuaeD6JPYPl5Nxg8hI9Ja9hubewYcW1FuKMMWUjSM/cncCVquoCiMjngGcBC3MmqaMj89jT28pXx1bzerSRCsbZJofZ4XRyVeQI25bOpbnucgDLZmg008T1fBUsznXrsXSLIDINlWaa+1dOirF1W17Na/ZKjKx8i1eJ2RhjykjQOXONQGxGf0NhmmLK2dmxGr7Rt5o9F1p5fmgRgrK9uptb6OBKupgjIynLP+RzL9d8FSzOdXuo6fRIZZr7V07KpidxbhNsuQ9abwCnTNpsjDEJgoS5PwaeFZHv4a1mvR7rlTPAxWgFj/SvZM+FVv5zcClRHNprzvPRpfvZ6XTxxrlTROVyIEnVM5XvvVzzUbA41y24cu2RCjr3rxyUxeKH2vnetltrb4ZItuvAjDGmtGT8LaaqXxSR7wNvwgtzH1LVnkI3zExftvXWghhT4QcDLey5sIbv9K9gWCtYXjnALyx+id2NR1hf4+2m8MShc4GHTouxl2u2kvXwxVazpuuxiwXQZNc+HUeEA919dJ0eAFItr7gsVYmTsFX4W2eV7OKH6nrYvBvW3QoVs7P2ozFm5kkZ5kRke8KhWI2NFhFpUdVnCtcsM1251FtLRRWevrSIPb1r+GbvKi5Ea6hjiJ3Oi1xf1cU7l/RP2VIrm6HTQu3lOl2pypWk2/5r3aK6pNc+036gsZ0Igu7XWmpBTrhcK6/r9ABdpwcYj7ol872kai603Q0b3gmVJRo0jTEmR+l65v4szdcUuDnPbZnxCtFTlkqu9dbivTrcwJ7eVvZeaOXE2DxqZJy31R6lffQF2jhChbgpt9TKdug0X3u5FlIspKVSGXFobqhJ2is5U8X2rj3Y08+4/5zjA2k2f0QU5OejogY23en9q5o7vXMZY0yJSrc3603FbMhMl8+esiByXVTQM1bL13pb2XNhDZ3DC3Bwua7uFL/e/DzvqH+d5470MCyTz5EsJGYzdFrMkBtEqvakW5QQcYSNS+YB5T3fLRuC933OtFgjyB8Ref/5iFR6vXDt90D1vOzvb4wxZSTdMOtvqeqf+h8/oKr/Eve1P1LVjxajgTNFPnrKspFNz1hftJJ/71vFngut7LvYjCJcUXuW3215krsajrKocnjitkFDYtCh02KG3CChMV170oW0trh5YrmuhC0nAiybX0tzQw0HMgwhQ+aAm7efD6cC1t3izYurnX1b6BljZqd0w6wPA3/qf/wR4F/ivnY7YGEuC/ksvxFEpp6xYdfh+wPL2XOhle8OLGdUI7RW9fOrS55nV+MRWqsHkp43m5AYZOi0WCE3aGhM155Uz72mMpKxV7LcLZ9fO7GVWWIQDhJeM61MnvbPh0Rg7U3eCtW5C4PdxxhjZoh0YU5SfJzsc5NBvstvZJKsZ6y1aR6HI6v48+OtfKtvFQNuFYsqLvHTC7vY3XiErbVvZCx6n++Vp8UKualC2oHufg50900ElHTt2dzSEOi5x659NoFOELTkljV4z68tw+rUTOE1yOsj958PgdbrvVpx85ZkuK0xxsxM6cKcpvg42ecmgzDKbzQ31LCkvoYDwwvYe6GV3zy1mp6xudQ5o9zW8Dq7G4/w5roeKiT4tzPfK0+LFXJThbRYgIr11FVEnKQrSqvjet+CDNUeOjuI6yoRR3DdzDEt1yBX41+nQgzrbmlpCPR9TbwuFRFvB4VsVrPm9POx8s3erg0NywI8G2OMmbnShbkrRKQfrxeu1v8Y//PSXnZYgopdfuP4aB17L7Syp7eVQyONVEqUG+Z189tL93NL/QlqnNzf/PO58rRYITfIUGDUVZyITJTYSNaeTM89cTg36ge6tub6jOVJsuXI5Xbl+9zL/flwQU33NZHVz8eya2DbgzB/Vc6PZ4wxM0m61ay2t02eFbr8xvnxar7Zu5o9va08fWkxANfOPc3Hm37MHQ2vM79ipGCPnatihdyg89jGoy6bWxpybk+6OXfZcsQr+ZKszYnDnwe6+/LWXb58fi2bmuvzdLbgMv58LL3SC3EL1xatTcYYUw5sH5syd8mt4Dt9y9nbu4YfDLQwjsPGmgv8VvMz3NN4hOVVF8NuYkbFqDGXGBpJMUctNpyaa3vyMQdQ/HZcLvsx9b6xmnYx0wlyNZURrlvXNI0zFNjidtj2ECzeFHZLjDGmJFmYK0PjKjwxuJS9F1p5pH8ll9xKllZe5L2LOtndeJi22t6wm1iS4kNa4nAo5Gd4N90cwCDz2hKDVaqyH/lcIFKy+6guXAdXPAzNW8NuiTHGlDQLc2VCFZ4bamLvhVa+0beac+O11EdG2NV4hF2NR7h27mkcW2McWKGGd9PNAew6PZB2u65kYTLIApEfvno25/YumFtVejtvzF/tDae2bCfj8mpjjDEW5krd4ZF57Lmwhr29rRwbradKotxSf5xdjUe4cd5Jqp1ge3maqQoxvJspJHae6sfVqYOiNSnCZJAFIiPj2b8GBGHZ/JpQ5salVL/MG05dca2FOGOMyYKFuRJ0ZqyGr/e2sre3lReGmnBweUtdD7+0+EVub3id+shY2E00aaQKibn0Bua7B9EBbm4rsXpsdUu8EiOr3gqOE3ZrjDGm7FiYKxED0Uoe6VvB3t41/OdgMy4OW2vP8dtLn+KexqMsrhwKu4kmD3LpDcxXD2LJBbm5TV6x39YbwLHF88YYkysLcyEadR0eH2hhT+8aHu1fzohWsLJqgA8sfpF7Go+wrqY/80nMrFdd4aQdao2IcNOmxUVsUQa1871tt9beBJHKsFtjjDFlb8aEORG5HfgLIAL8vap+IuQmJeUqPHVxMXt61/CtvlX0RatZGBni4QWH2NV4mKvmnLPpQiYrb1u/iB++enZSoKuucHjb+kUhtiqJ6npo3wXr3wEVVWG3xhhjZowZEeZEJAL8L+BW4ATwlIh8TVU7w23ZZS8PNbKndw1f713NybE6amWM2xqOs6vxMNfNO0VlFltqGZOo5IJbvKq5sOku2HgHVJbYylljjJkBZkSYA64FDqnqYQAR+RKwCwg1zJ285PC1M5vZ27uGl4fnE8Hl+nnd/Fbzs9zacJw5zniYzTOmsCqqvRC36U4v0BljjCmImRLmlgHH4z4/AewIqS0AfP35bn75mwuBhWyfc4bfb+ngzsajLCzBLbWMyatIJWx4J7TdDTUlVPrEGGNmqJkS5pLNMpsybiki7wfeD7By5cqCNmjHmgX8xuaL7Bp/hJXV2e/LaUzZcSpg3S2webe3yMEYY0xRzJQwdwJYEff5cqA78Uaq+mng0wDXXHNNQSepLZ5Xwy+3X4IuC3JmhpOItzJ1870wd2HYrTHGmFlnpoS5p4D1ItIKnAQeBn4y3CYZM9MJtL4NttwP80qofp0xxswyMyLMqeq4iHwAeASvNMlnVPVAyM0yZuZauRO2PggNy8JuiTHGzHozIswBqOq3gG+F3Q5jZrRl18C2B2H+qrBbYowxxjdjwpwxpoCWXgHbHoKFa8NuiTHGmAQW5owxqS1ug20Pw+JNYbfEGGNMChbmjDFTLVzn9cQ1b8X2lzPGmNJmYc4Yc9n81d6cuJbtFuKMMaZMWJgzxkD9Mi/ErdhhIc4YY8qMhTljZrO6JbD1AVj1VnCcsFtjjDEmBxbmjJmN5jTB1vug9QZwImG3xhhjzDRYmDNmNqmdD5vfBWtvhkhl2K0xxhiTBxbmjJkNqudB+y5YfxtUVIXdGmOMMXlkYc6YmaxyDrTdDRvvgMqasFtjjDGmACzMGTMTVVTDprtg051QNTfs1hhjjCkgC3PGzCSRSthwO7TdAzX1YbfGGGNMEViYM2YmcCpg3S2webe3yMEYY8ysYWHOmHImEVh7E2y+F+YuDLs1xhhjQmBhzpiyJLD6Oth6P8xrDrsxxhhjQmRhzphys3InbH0QGpaF3RJjjDElwMKcMeVi2TWw7QGYvzrslhhjjCkhFuaMKXXN22DbQ9C0LuyWGGOMKUEW5owpVYvbvBC3uC3slhhjjClhFuaMKTUL13khrnkriITdGmOMMSXOwpwxpWL+atj2ILRstxBnjDEmMAtzxoStfpkX4lbssBBnjDEmaxbmjAlL3RKvTtyq68Bxwm6NMcaYMmVhzphim9MEW++D1hvAiYTdGmOMMWXOwpwxxVLTCFvuhbU3Q6Qy7NYYY4yZISzMGVNo1fOgfResvw0qqsJujTHGmBnGwpwxhVI5B9ruho13QGVN2K0xxhgzQ1mYMybfKqph453QdhdUzQ27NcYYY2Y4C3PG5Euk0htKbd8FNfVht8YYY8wsYWHOmOlyKmDdLV6Im7Mg7NYYY4yZZSzMGZMrcWDNTd4K1blNYbfGGGPMLGVhzpisCay+ziv4O6857MYYY4yZ5SzMGZONlTth6wPQsDzslhhjjDGAhTljgll2DWx7AOavDrslxhhjzCQW5oxJp3kbbHsImtaF3RJjjDEmKQtzxiSzuM0LcYvbwm6JMcYYk5aFOWPiLVznhbjmrSASdmuMMcaYjCzMGQPeXLitD8Ky7RbijDHGlBULc2Z2q18G2x6EFTssxBljjClLFubM7FS3xKsTt+o6cJywW2OMMcbkzMKcmV3mLIQt90HrDRCxl78xxpjyZ+9mZnaonQ+b3wVrb4ZIZditMcYYY/LGwpyZ2arnQfsuWP8OqKgOuzXGGGNM3lmYMzNT5Rxouws23gGVtWG3xhhjjCkYC3NmZqmohk13waY7oWpu2K0xxhhjCs7CnJkZIpWw4XZouwdq6sNujTHGGFM0FuZMeXMqYN3boX03zFkQdmuMMcaYorMwZ8qTOLDmJthyL8xtCrs1xhhjTGgszJkyI7D6Oq/g77zmsBtjjDHGhM7CnCkfK3fC1gegYXnYLTHGGGNKhoU5U/qWXe3tnzp/ddgtMcYYY0qOhTlTupq3wraHoGl92C0xxhhjSpaFOVN6Fm3yQtyS9rBbYowxxpQ8C3OmdCxc5w2nNm8DkbBbY4wxxpQFC3MmfI2rvJ64ZdstxBljjDFZsjBnwlO/zFudunKnhThjjDEmRxbmTPHVLfHqxK26Dhwn7NYYY4wxZS2Ud1IReUBEDoiIKyLXJHztIyJySES6ROS2uONXi8iL/tf+UsTryhGRahH5Z/94h4isLvLTMUHNWQjXvg/u/BS0Xm9BzhhjjMmDsHrmXgLuBf5P/EERaQceBjYDLcCjIrJBVaPA3wDvB/YB3wJuB74NvBe4oKrrRORh4E+Ah4r1REwANY2weTesuwUilWG3xhhjjJlRQglzqnoQQKbOk9oFfElVR4AjInIIuFZEjgL1qvpj/36fB3bjhbldwMf8+/8r8NciIqqqBX4aJpOqOi/ErX8HVFSH3RpjjDFmRiq1OXPL8HreYk74x8b8jxOPx+5zHEBVx0WkD1gInCt4a01ylXOg7W7Y+E6orA27NcYYY8yMVrAwJyKPAsl2Qv/vqro31d2SHNM0x9PdJ1mb3o83VMvKlStTNMHkrKIaNt4Jm+6E6rqwW2OMMcbMCgULc6p6Sw53OwGsiPt8OdDtH1+e5Hj8fU6ISAXQAJxP0aZPA58GuOaaa2wYNl8ilbD+Nmi/B2oawm6NMcYYM6uU2nLCrwEP+ytUW4H1wJOqegoYEJGd/irWdwN74+7zHv/j+4Hv2ny5InEqvPlwd/8lbP8ZC3LGGGNMCEKZMyci7wL+ClgEfFNEnlPV21T1gIh8GegExoFf8leyAvwi8FmgFm/hw7f94/8A/KO/WOI83mpYU0jiwJobYfO9ULco7NYYY4wxs1pYq1n/Dfi3FF/7OPDxJMf3A1uSHB8GHsh3G00yAquv8wr+zks2HdIYY4wxxVZqq1lNqVqxA7Y9CA3LM9/WGGOMMUVjYc6k17LdC3ELWsNuiTHGGGOSsDBnkmveCtsegqb1YbfEGGOMMWlYmDOTLdrkhbgl7WG3xBhjjDEBWJgznoXrvBDXvBWmbrNmjDHGmBJlYW62a1zlhbhl2y3EGWOMMWXIwtxsVd8CWx+ElTstxBljjDFlzMLcbFO3GLY+AKuuA6fUNgAxxhhjTLYszM0WcxbClnuh9UaI2LfdGGOMmSnsXX2mq2mEzbth3S0QqQy7NcYYY4zJMwtzM1VVnRfi1r8DKqrDbo0xxhhjCsTC3ExTOQc23en9q6wNuzXGGGOMKTALczNFRTVsvAM23QXVdWG3xhhjjDFFYmGu3EUqYf1t0H4P1DSE3RpjjDHGFJmFuXLlVMDam2Hzu2DOgrBbY4wxxpiQWJgrN+JA6w2w5T6oWxR2a4wxxhgTMgtzZUNg9XWw9X6Y1xx2Y4wxxhhTIizMlYMVO2Dbg9CwPOyWGGOMMabEWJgrZcuu9rbeWtAadkuMMcYYU6IszJWi5q2w7SFoWh92S4wxxhhT4izMlZJFm7wQt6Q97JYYY4wxpkxYmCsFC9Z6c+KWXgEiYbfGGGOMMWXEwlyYGld6PXHLrrYQZ4wxxpicWJgLQ30LbH0QVu60EGeMMcaYabEwV0x1i2HL/bD6beA4YbfGGGOMMTOAhblimLMQttwLrTdCxC65McYYY/LHkkUh1TTC1T8H694OkcqwW2OMMcaYGcjCXCFt3h12C4wxxhgzw9nELWOMMcaYMmZhzhhjjDGmjFmYM8YYY4wpYxbmjDHGGGPKmIU5Y4wxxpgyZmHOGGOMMaaMWZgzxhhjjCljFuaMMcYYY8qYhTljjDHGmDJmYc4YY4wxpoxZmDPGGGOMKWMW5owxxhhjypiFOWOMMcaYMmZhzhhjjDGmjImqht2GUIjIWeBYgR+mCThX4McwU9l1Lz675sVn17z47JoXn13zy1ap6qJkX5i1Ya4YRGS/ql4TdjtmG7vuxWfXvPjsmhefXfPis2sejA2zGmOMMcaUMQtzxhhjjDFlzMJcYX067AbMUnbdi8+uefHZNS8+u+bFZ9c8AJszZ4wxxhhTxqxnzhhjjDGmjFmYKxARuV1EukTkkIh8OOz2zCQiclREXhSR50Rkv39sgYh8R0Re9f+fH3f7j/jfhy4RuS28lpcPEfmMiJwRkZfijmV9jUXkav97dUhE/lJEpNjPpVykuOYfE5GT/mv9ORG5I+5rds2nSURWiMj3ROSgiBwQkV/1j9trvUDSXHN7rU+Hqtq/PP8DIsBrwBqgCngeaA+7XTPlH3AUaEo49qfAh/2PPwz8if9xu3/9q4FW//sSCfs5lPo/4HpgO/DSdK4x8CTwZkCAbwPvDPu5leq/FNf8Y8BvJrmtXfP8XPOlwHb/43nAK/61tdd68a+5vdan8c965grjWuCQqh5W1VHgS8CukNs00+0CPud//Dlgd9zxL6nqiKoeAQ7hfX9MGqr6A+B8wuGsrrGILAXqVfXH6v3m/XzcfUyCFNc8FbvmeaCqp1T1Gf/jAeAgsAx7rRdMmmueil3zACzMFcYy4Hjc5ydI/2I12VHgP0TkaRF5v39siaqeAu+XBbDYP27fi/zJ9hov8z9OPG6y8wERecEfho0N99k1zzMRWQ1cBXRgr/WiSLjmYK/1nFmYK4xk4/a2bDh/3qqq24F3Ar8kItenua19Lwov1TW2az99fwOsBa4ETgF/5h+3a55HIlIHfAX4NVXtT3fTJMfsuucgyTW31/o0WJgrjBPAirjPlwPdIbVlxlHVbv//M8C/4Q2bnva73fH/P+Pf3L4X+ZPtNT7hf5x43ASkqqdVNaqqLvB3XJ4iYNc8T0SkEi9U/JOqftU/bK/1Akp2ze21Pj0W5grjKWC9iLSKSBXwMPC1kNs0I4jIXBGZF/sYeAfwEt71fY9/s/cAe/2PvwY8LCLVItIKrMebNGuyl9U19oenBkRkp7/K7N1x9zEBxAKF7114r3Wwa54X/jX6B+Cgqn4q7kv2Wi+QVNfcXuvTUxF2A2YiVR0XkQ8Aj+CtbP2Mqh4IuVkzxRLg3/wV6BXAF1T130XkKeDLIvJe4HXgAQBVPSAiXwY6gXHgl1Q1Gk7Ty4eIfBG4EWgSkRPA7wKfIPtr/IvAZ4FavNVm3y7i0ygrKa75jSJyJd7w0VHg58GueR69FfgZ4EURec4/9lHstV5Iqa75T9hrPXe2A4QxxhhjTBmzYVZjjDHGmDJmYc4YY4wxpoxZmDPGGGOMKWMW5owxxhhjypiFOWOMMcaYMmZhzhhTVkSkWUS+JCKviUiniHxLRDZkcf/Pisj9AW73myLysoi8JCLPi8i7/eNHRaQpyzZ/0d+m6L9lc7+4+18pInfEfX6PiHw4l3MZY2YeqzNnjCkbfnHQfwM+p6oP+8euxKs/+EoeH+cXgFuBa1W1X0QayHETbxFpBt6iqqsy3K5CVcdTfPlK4BrgWwCq+jWsELkxxmd15owxZUNEbgY+pqpT9uP1g96f4u3Zq8Afquo/+8f/CrgZOIK3p+NnVPVfReRq4FNAHXAO+FlVPSUirwM3qeprSR7nKPA54G6gEnhAVV/2dyT5K2Ar3h/KH1PVvSLyAl7V+i7gl1X1h3Hn+ixwHm+z8WeAfwb+J14R1CHg5/w2H/KPnQT+2P/4GlX9gH+Ofryw1wz8lv/cHOCvgRv8czix5x38ihtjyoH1zBljyskW4OkUX7sXrwfrCqAJeEpEfgC8GdiIF7KW4FWS/4y/P+RfAbtU9ayIPAR8XER+FZiXLMjFOaeq20XkvwK/Cfw/wH8Hvquq/0VEGoEnReRR4B7gG6p6ZYpzbQBuUdWoiNQD1/u7yNwC/JGq3ici/wM/vAGIyM8mnGMpcB2wCa/H7l/967Haf96LgYPAZ9I8J2NMmbIwZ4yZKa4Dvuhv9XNaRB4H3gRcH3e8W0S+699+I144/I6/PVwEOIXXc5dpyCK2IfvTeKEJvH2C7xGR3/Q/rwFW4vWwpfMvcdsTNQCfE5H1fhsqM9w3Zo+/QXmniCzxj13nn9sFekTkewHPZYwpMxbmjDHl5ACQavGCpLlfsnAmwAFVffOUL4hcFJE1qno4xflG/P+jXP49KsB9qtqVcK7VadoFcDHu4z8Avqeq7/Lv9/0M901sT6wd8f8bY2Y4W81qjCkn3wWqReR9sQMi8iYRuQH4AfCQiEREZBFej9yT/vGH/eNLgZv8u3YBi0Tkzf55KkVks/+1Pwb+lz/siYjUi8j7M7TtEeCX/Tl6iMhVOTy/Brx5cQA/G3d8AJiX5bmeAO4TEcfvrbsxh/YYY8qAhTljTNlQb8XWu4Bb/dIkB4CPAd14q1xfAJ7HC32/pao9/vFXgReBvwEe9881itfL9yci8jzwHPAW/6H+Bvge3ry7l/z7XMrQvD/AGxZ9wb/PH+TwFP8U+GMR+U+8Yd+Y7wHtIvKcP7cviK8AJ4CXgP8DdAB9ObTJGFPibDWrMcbMUCJSp6qDIrIQr5fyrX7ANcbMIDZnzhhjZq5v+Ctrq4A/sCBnzMxkPXPGGGOMMWXM5swZY4wxxpQxC3PGGGOMMWXMwpwxxhhjTBmzMGeMMcYYU8YszBljjDHGlDELc8YYY4wxZez/Bx6WnzZ57RsaAAAAAElFTkSuQmCC\n",
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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 720x432 with 0 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -856,8 +902,9 @@
    "source": [
     "import matplotlib\n",
     "from scipy.odr import *\n",
+    "from scipy.stats import linregress\n",
     "\n",
-    "num_samples = 20000\n",
+    "num_samples = 5000\n",
     "samples = codechef_rank.sample(num_samples, axis=0)\n",
     "cc_random = codechef_rank[codechef_rank['username'].isin(samples.username)]\n",
     "mmr_random = mmr_rank[mmr_rank['handle'].isin(samples.username)][['cur_mu', 'handle']]\n",
@@ -879,12 +926,21 @@
     "plt.xlabel('CodeChef rating')\n",
     "plt.ylabel('Elo-MMR rating')\n",
     "\n",
-    "# These trendlines are made by eyeballing the data.\n",
-    "X = sorted(x_cc)\n",
-    "Yl = 0.55 * (np.array(X) - 3300) + 3300\n",
-    "Yh = 1.45 * (np.array(X) - 3300) + 3300\n",
+    "X = np.array(sorted(x_cc))\n",
+    "Yl = 0.55 * (X - 3300) + 3300\n",
+    "Yh = 1.45 * (X - 3300) + 3300\n",
     "plt.fill_between(X, Yl, Yh, alpha=0.7)\n",
-    "plt.plot(X, X)"
+    "plt.plot(X, X)\n",
+    "\n",
+    "\n",
+    "plt.figure()\n",
+    "fig, ax = plt.subplots() \n",
+    "# y_mmr_squeeze = 1500 + (np.array(y_mmr) - 1500) * 330 / 300\n",
+    "plt.scatter(x_cc, np.array(y_mmr) - np.array(x_cc))\n",
+    "#plt.scatter(y_mmr_squeeze,  np.array(x_cc) - y_mmr_squeeze)\n",
+    "plt.title('CodeChef ratings vs. Elo-MMR Ratings')\n",
+    "plt.xlabel('CodeChef rating')\n",
+    "plt.ylabel('Elo-MMR minus CodeChef rating')"
    ]
   },
   {
@@ -892,7 +948,99 @@
    "id": "abbbc842-3cd4-4349-983c-bb67524c61e2",
    "metadata": {},
    "source": [
-    "The trend is not perfectly linear, as we saw earlier that the distributions of Elo-MMR and CodeChef ratings are vastly different in shape. It seems that the difference between the two is larger towards the lower range of CodeChef ratings (below 2200)."
+    "The trend is not perfectly linear, as we saw earlier that the distributions of Elo-MMR and CodeChef ratings are vastly different in shape. It seems that the difference between the two is larger towards the lower range of CodeChef ratings (below 2200). The two lines going through x = 1000 and x = 1500 are exactly the set of users who have participated in one round, as we can see by the plot when we filter them out:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1153,
+   "id": "e060dc8f-26d9-43d5-a469-7fb5119de068",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Elo-MMR minus CodeChef rating')"
+      ]
+     },
+     "execution_count": 1153,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 720x432 with 0 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 720x432 with 0 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# This cell requires running all previous cells in the notebook to gather precomputed values\n",
+    "x_cc, y_mmr, names = [], [], []\n",
+    "for username in union:\n",
+    "    if num_contests[username] > 1:\n",
+    "        x_cc.append(rate_name_cc[username])\n",
+    "        y_mmr.append(rate_name_mmr[username])\n",
+    "        names.append(username)\n",
+    "    \n",
+    "plt.figure()\n",
+    "fig, ax = plt.subplots() \n",
+    "plt.scatter(x_cc, y_mmr)\n",
+    "plt.title('CodeChef ratings vs. Elo-MMR Ratings')\n",
+    "plt.xlabel('CodeChef rating')\n",
+    "plt.ylabel('Elo-MMR rating')\n",
+    "\n",
+    "X = np.array(sorted(x_cc))\n",
+    "Yl = 0.55 * (X - 3300) + 3300\n",
+    "Yh = 1.45 * (X - 3300) + 3300\n",
+    "plt.fill_between(X, Yl, Yh, alpha=0.7)\n",
+    "plt.plot(X, X)\n",
+    "\n",
+    "\n",
+    "plt.figure()\n",
+    "fig, ax = plt.subplots() \n",
+    "# y_mmr_squeeze = 1500 + (np.array(y_mmr) - 1500) * 330 / 300\n",
+    "plt.scatter(x_cc, np.array(y_mmr) - np.array(x_cc))\n",
+    "#plt.scatter(y_mmr_squeeze,  np.array(x_cc) - y_mmr_squeeze)\n",
+    "plt.title('CodeChef ratings vs. Elo-MMR Ratings')\n",
+    "plt.xlabel('CodeChef rating')\n",
+    "plt.ylabel('Elo-MMR minus CodeChef rating')"
    ]
   },
   {
@@ -908,14 +1056,16 @@
    "id": "96325654-58f7-4f8f-992b-d06ad9de6d8e",
    "metadata": {},
    "source": [
-    "The transition from CodeChef's current rating system to Elo-MMR is tricky, as the two rating systems produce different distributions and different scales. The different scales can easily be corrected, as one can scale Elo-MMR ratings to cover the same range of values as CodeChef. The shape of the two distributions present issues however. Due to the high density of ratings near 1500 for CodeChef's ratings, it's likely that Elo-MMR will greatly increase the average rating of participants just above 1500, and greatly decrease the average rating of participants just below 1500. This would lead to many participants being unhappy with the new rating system, as their ratings would rapidly decrease.\n",
+    "The transition from CodeChef's current rating system to Elo-MMR is tricky, as the two rating systems produce different distributions and different scales. The different scales can easily be corrected, as one can scale Elo-MMR ratings to cover approximately the same range of values as CodeChef. The shape of the two distributions present issues however. Due to the high density of ratings near 1500 for CodeChef's ratings, it's likely that Elo-MMR will greatly increase the average rating of participants just above 1500, and greatly decrease the average rating of participants just below 1500 (and of tourist). This would lead to many participants being unhappy with the new rating system, as their ratings would rapidly decrease.\n",
+    "\n",
+    "One possible solution is to shift the ratings of Elo-MMR so that at least 80% of users expect a rating increase after the rating system change. Another is to shift the ratings so that on average, a user experiences 0 change in their ratings. \n",
     "\n",
-    "Our proposed solution is to shift the ratings of Elo-MMR so that at least 80% of users expect a rating increase after the rating system change. Below we compute this shift."
+    "Below we compute these two rating shifts, beginning with the 80% solution."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 729,
+   "execution_count": 1155,
    "id": "b1507c93-96e9-4144-b619-eb76f64216df",
    "metadata": {},
    "outputs": [
@@ -923,15 +1073,21 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Rating shift (95%) is 513.97705078125\n"
+      "Rating shift (80%) is 146.00830078125\n"
      ]
     }
    ],
    "source": [
+    "# Refresh these ratings with ratings filtered by active non-cheaters\n",
+    "rate_name_cc = defaultdict(lambda: default_rating)\n",
+    "rate_name_cc.update(dict(zip(codechef_rank.username, codechef_rank.ratings)))\n",
+    "rate_name_mmr = defaultdict(lambda: default_rating)\n",
+    "rate_name_mmr.update(dict(zip(mmr_rank.handle, mmr_rank.cur_mu)))\n",
+    "    \n",
     "def percent_happy(s, explvl=0):\n",
     "    nsucc, ntot = 0, 0\n",
     "    for name in rate_name_mmr:\n",
-    "        if explvl and (name not in num_contests or num_contests[name] < explvl):\n",
+    "        if num_contests[name] < explvl:\n",
     "            continue\n",
     "        if rate_name_cc[name] <= rate_name_mmr[name] + s:\n",
     "            nsucc += 1\n",
@@ -948,7 +1104,7 @@
     "            l = m\n",
     "    return (l + r) / 2\n",
     "\n",
-    "print('Rating shift (95%) is', compute_shift(0.80))"
+    "print('Rating shift (80%) is', compute_shift(0.80))"
    ]
   },
   {
@@ -961,23 +1117,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 730,
+   "execution_count": 1156,
    "id": "985500d2-ff89-4d94-b31f-83e628aa9a8a",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f609877e1d0>]"
+       "Text(0, 0.5, 'Percentage of users experiencing rating increase')"
       ]
      },
-     "execution_count": 730,
+     "execution_count": 1156,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -989,9 +1145,11 @@
     }
    ],
    "source": [
-    "X = np.linspace(0.01, 0.99, 20)\n",
+    "X = np.linspace(0.01, 0.99, 10)\n",
     "Y = [compute_shift(x) for x in X]\n",
-    "plt.plot(Y, X) "
+    "plt.plot(Y, X) \n",
+    "plt.xlabel('Rating shift')\n",
+    "plt.ylabel('Percentage of users experiencing rating increase')"
    ]
   },
   {
@@ -1004,23 +1162,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 731,
+   "execution_count": 1157,
    "id": "851ab3ef-0dc4-465b-937a-27caa3f61d7b",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x7f6098690510>]"
+       "Text(0, 0.5, 'Rating shift required to get 80% increase')"
       ]
      },
-     "execution_count": 731,
+     "execution_count": 1157,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -1034,7 +1192,9 @@
    "source": [
     "Y = [compute_shift(0.80, exp) for exp in range(1, 11)]\n",
     "X = list(range(1, 11))\n",
-    "plt.plot(X, Y)"
+    "plt.plot(X, Y)\n",
+    "plt.xlabel('min # of contests user has participated in')\n",
+    "plt.ylabel('Rating shift required to get 80% increase')"
    ]
   },
   {
@@ -1042,41 +1202,92 @@
    "id": "48544822-791a-42a0-a136-09f7a7bdeb39",
    "metadata": {},
    "source": [
-    "As we can see, higher values of rating shift are mostly required for less experienced users. We can also see this in the \"CodeChef Ratings vs. Elo-MMR Ratings\" plot that we generated earlier, as the spread between the ratings was largest for lower rated players (lower rated players are correlated with fewer contests)."
+    "As we can see, higher values of rating shift are mostly required for less experienced users. We can also see this in the \"CodeChef Ratings vs. Elo-MMR Ratings\" plot that we generated earlier, as the spread between the ratings was largest for lower rated players (lower rated players are correlated with fewer contests). This means that higher rated users will essentially experience the same ratings with the new system.\n",
+    "\n",
+    "Let's compute now the rating shift required so that on average, a user's rating changes by 0."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1163,
+   "id": "4628322b-e118-4111-a15e-3ad9f336c662",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Average rating change')"
+      ]
+     },
+     "execution_count": 1163,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "def avg_rating_change(explvl=0):\n",
+    "    sum_change = 0\n",
+    "    ntot = 0\n",
+    "    for name in rate_name_mmr:\n",
+    "        if num_contests[name] < explvl:\n",
+    "            continue\n",
+    "        sum_change += rate_name_cc[name] - rate_name_mmr[name]\n",
+    "        ntot += 1\n",
+    "    return sum_change / ntot\n",
+    "\n",
+    "X = list(range(1, 11))\n",
+    "Y = [avg_rating_change(lvl) for lvl in X]\n",
+    "plt.plot(X, Y) \n",
+    "plt.xlabel('# min number of rounds')\n",
+    "plt.ylabel('Average rating change')"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f63198b1-fa65-4e08-98e8-a54d874358fe",
+   "id": "85e5cbac-34b3-41b5-a09d-20121e61b774",
    "metadata": {},
    "source": [
-    "# Initializing Elo-MMR with CodeChef ratings"
+    "On average, we should inflate MMR ratings by about 40 points for most people to experience a net-zero rating change *in the long run* (i.e. after the system has converged). This would give a boost in rating of up to 40 points over their current value to everyone who has participated in more than 1 round.\n",
+    "\n",
+    "Luckily, the \"display rating\" mechanism (where we show a user's rating as their true rating minus 3 std. dev.), can be tuned to automatically account for this to slowly reflect a 40 point rating boost over time."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c5de9f16-2703-4dcb-a596-9d6043f75cb2",
+   "id": "0604aedf-f123-4e9d-8101-f7b8a2de59bb",
    "metadata": {},
    "source": [
-    "In this section, we initialize Elo-MMR with CodeChef ratings from a year ago and answer questions such as:\n",
-    "- How fast will the rating distribution change?\n",
-    "- What will the rating distribution converge to?\n",
-    "- How will the top-ranked players change?"
+    "# Users expected to drastically gain or lose rating"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6644a9b4-b69a-4ccc-8813-2676737cfc6e",
+   "metadata": {},
+   "source": [
+    "Here we compute a list of all users whose ratings will drastically change (>500 points) with the new system, assuming that the MMR system has been shifted by 120 rating points as described in the previous section.\n",
+    "\n",
+    "We'll filter out non-active users and users who have only participated in one contest."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 732,
-   "id": "62356367-8dbf-4cea-a5dd-99ea1f6d1dc4",
+   "execution_count": 1168,
+   "id": "5762b4c9-6107-4d3e-8341-f9b4203e9ccf",
    "metadata": {},
    "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Cutoff contest: LTIME21\n"
-     ]
-    },
     {
      "data": {
       "text/html": [
@@ -1098,137 +1309,332 @@
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
-       "      <th>handle</th>\n",
-       "      <th>cur_mu</th>\n",
-       "      <th>num_contests</th>\n",
+       "      <th>username</th>\n",
+       "      <th>rating_change</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
-       "      <td>16</td>\n",
-       "      <td>1468</td>\n",
-       "      <td>1</td>\n",
+       "      <td>gennady.korotkevich</td>\n",
+       "      <td>-1229</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
-       "      <td>17</td>\n",
-       "      <td>1538</td>\n",
-       "      <td>9</td>\n",
+       "      <td>nok0</td>\n",
+       "      <td>858</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
-       "      <td>21</td>\n",
-       "      <td>1552</td>\n",
-       "      <td>1</td>\n",
+       "      <td>arielgg</td>\n",
+       "      <td>848</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
-       "      <td>22</td>\n",
-       "      <td>1403</td>\n",
-       "      <td>4</td>\n",
+       "      <td>hibye1217</td>\n",
+       "      <td>836</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
-       "      <td>42</td>\n",
-       "      <td>1346</td>\n",
-       "      <td>3</td>\n",
+       "      <td>scimoon</td>\n",
+       "      <td>820</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>...</th>\n",
        "      <td>...</td>\n",
        "      <td>...</td>\n",
-       "      <td>...</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>50491</th>\n",
-       "      <td>661890</td>\n",
-       "      <td>1396</td>\n",
-       "      <td>1</td>\n",
+       "      <th>74</th>\n",
+       "      <td>notwatermango</td>\n",
+       "      <td>514</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>50492</th>\n",
-       "      <td>661898</td>\n",
-       "      <td>1504</td>\n",
-       "      <td>1</td>\n",
+       "      <th>75</th>\n",
+       "      <td>jell</td>\n",
+       "      <td>504</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>50493</th>\n",
-       "      <td>661934</td>\n",
-       "      <td>1504</td>\n",
-       "      <td>1</td>\n",
+       "      <th>76</th>\n",
+       "      <td>azus66</td>\n",
+       "      <td>503</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>50494</th>\n",
-       "      <td>661946</td>\n",
-       "      <td>1504</td>\n",
-       "      <td>1</td>\n",
+       "      <th>77</th>\n",
+       "      <td>wargang2</td>\n",
+       "      <td>502</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th>50495</th>\n",
-       "      <td>662149</td>\n",
-       "      <td>1504</td>\n",
-       "      <td>1</td>\n",
+       "      <th>78</th>\n",
+       "      <td>liyh</td>\n",
+       "      <td>501</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
-       "<p>50496 rows × 3 columns</p>\n",
+       "<p>79 rows × 2 columns</p>\n",
        "</div>"
       ],
       "text/plain": [
-       "       handle  cur_mu  num_contests\n",
-       "0          16    1468             1\n",
-       "1          17    1538             9\n",
-       "2          21    1552             1\n",
-       "3          22    1403             4\n",
-       "4          42    1346             3\n",
-       "...       ...     ...           ...\n",
-       "50491  661890    1396             1\n",
-       "50492  661898    1504             1\n",
-       "50493  661934    1504             1\n",
-       "50494  661946    1504             1\n",
-       "50495  662149    1504             1\n",
+       "               username  rating_change\n",
+       "0   gennady.korotkevich          -1229\n",
+       "1                  nok0            858\n",
+       "2               arielgg            848\n",
+       "3             hibye1217            836\n",
+       "4               scimoon            820\n",
+       "..                  ...            ...\n",
+       "74        notwatermango            514\n",
+       "75                 jell            504\n",
+       "76               azus66            503\n",
+       "77             wargang2            502\n",
+       "78                 liyh            501\n",
        "\n",
-       "[50496 rows x 3 columns]"
+       "[79 rows x 2 columns]"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "import time\n",
-    "import datetime\n",
+    "shift = 40\n",
+    "limit = 500\n",
+    "contest = checkpoint_contests[-1]\n",
+    "codechef_rank = pd.read_csv(f'{codechef_dir}/{contest}.csv')\n",
+    "codechef_rank.sort_values(['ratings'], ascending=False, inplace=True)\n",
+    "rate_name_cc = defaultdict(lambda: default_rating)\n",
+    "rate_name_cc.update(dict(zip(codechef_rank.username, codechef_rank.ratings)))\n",
     "\n",
-    "# Determine closest contest a year ago from today\n",
-    "ts = time.mktime(datetime.datetime.strptime(\"25/04/2022\", \"%d/%m/%Y\").timetuple()) - 31557600\n",
+    "mmr_rank = pd.read_csv(f'{elommr_dir}/{contest}.csv')\n",
+    "# Translate handle ids to actual usernames\n",
+    "mmr_rank.handle = mmr_rank.handle.apply(lambda x: user_map[x])\n",
+    "mmr_rank['username'] = mmr_rank.handle\n",
+    "rate_name_mmr = defaultdict(lambda: default_rating)\n",
+    "rate_name_mmr.update(dict(zip(mmr_rank.handle, mmr_rank.cur_mu)))\n",
     "\n",
-    "# Figure out which CodeChef contest this is\n",
-    "sid = 0\n",
-    "for i, contest in enumerate(checkpoint_contests):\n",
-    "    if name_to_time[contest] > ts:\n",
-    "        sid = i-1\n",
-    "        break\n",
+    "extreme_cases = []\n",
+    "for user in num_contests:\n",
+    "    if user not in filtered_users or num_contests[user] <= 1:\n",
+    "        continue\n",
+    "    if abs(rate_name_mmr[user] + shift - rate_name_cc[user]) >= limit:\n",
+    "        extreme_cases.append((user, rate_name_mmr[user] + shift - rate_name_cc[user]))\n",
     "        \n",
-    "# Augment codechef rating with number of contests\n",
-    "print('Cutoff contest:', id_to_name[sid])\n",
-    "# This is our nearest stored checkpoint\n",
-    "sid += 1\n",
-    "\n",
-    "contest = id_to_name[sid]\n",
-    "codechef_rank = pd.read_csv(f'{codechef_dir}/{contest}.csv')\n",
+    "# Let's print out the distribution of extreme cases\n",
+    "extreme_df = pd.DataFrame({'username': [data[0] for data in extreme_cases], 'rating_change': [data[1] for data in extreme_cases]})\n",
+    "extreme_df = extreme_df.sort_values(['rating_change'], ascending=False, key=lambda x: abs(x)).reset_index(drop=True)\n",
+    "display(extreme_df)\n",
     "\n",
-    "num_contest_csv = pd.read_csv(f'{elommr_dir}/{contest}_numcontests.csv')\n",
+    "# Temporarily create 'ratings' column to use functions we've implemented before\n",
+    "extreme_df['ratings'] = extreme_df.rating_change\n",
+    "plt.figure()\n",
+    "data = pd.DataFrame(data={'data': extreme_df.ratings})\n",
+    "ax = sns.distplot(data, norm_hist=False, kde=False)\n",
+    "plot_top_k(extreme_df)\n",
     "\n",
-    "merged = pd.merge(codechef_rank, num_contest_csv)\n",
-    "merged = merged.drop(merged.columns[2], axis=1)\n",
+    "del extreme_df['ratings']\n",
+    "extreme_df.to_csv(f'{root_dir}/extreme_cases.csv', index=False)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f1863161-34a2-41ea-9753-9855f49c2639",
+   "metadata": {},
+   "source": [
+    "As we can see, there are 79 users that are at or above the 500 rating change limit. Many of these users are due to the Div 3-4 issue we discussed in our meetings (where our system puts the user into a higher division, but our simulation allowed them to gain rating points from future Div. 3-4 contests they participated in)."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f63198b1-fa65-4e08-98e8-a54d874358fe",
+   "metadata": {},
+   "source": [
+    "# Initializing Elo-MMR with CodeChef ratings"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c5de9f16-2703-4dcb-a596-9d6043f75cb2",
+   "metadata": {},
+   "source": [
+    "In this section, we initialize Elo-MMR with CodeChef ratings from a year ago and answer questions such as:\n",
+    "- How fast will the rating distribution change?\n",
+    "- What will the rating distribution converge to?\n",
+    "- How will the top-ranked players change?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1186,
+   "id": "62356367-8dbf-4cea-a5dd-99ea1f6d1dc4",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Cutoff contest: MAY21B\n"
+     ]
+    },
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>handle</th>\n",
+       "      <th>cur_mu</th>\n",
+       "      <th>num_contests</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>16</td>\n",
+       "      <td>1468</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>17</td>\n",
+       "      <td>1171</td>\n",
+       "      <td>22</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>21</td>\n",
+       "      <td>1552</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>22</td>\n",
+       "      <td>1507</td>\n",
+       "      <td>9</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>42</td>\n",
+       "      <td>1346</td>\n",
+       "      <td>3</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>328106</th>\n",
+       "      <td>2416550</td>\n",
+       "      <td>1386</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>328107</th>\n",
+       "      <td>2416556</td>\n",
+       "      <td>1386</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>328108</th>\n",
+       "      <td>2416563</td>\n",
+       "      <td>1413</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>328109</th>\n",
+       "      <td>2416568</td>\n",
+       "      <td>1411</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>328110</th>\n",
+       "      <td>2416572</td>\n",
+       "      <td>1386</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>328111 rows × 3 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "         handle  cur_mu  num_contests\n",
+       "0            16    1468             1\n",
+       "1            17    1171            22\n",
+       "2            21    1552             1\n",
+       "3            22    1507             9\n",
+       "4            42    1346             3\n",
+       "...         ...     ...           ...\n",
+       "328106  2416550    1386             1\n",
+       "328107  2416556    1386             1\n",
+       "328108  2416563    1413             1\n",
+       "328109  2416568    1411             1\n",
+       "328110  2416572    1386             1\n",
+       "\n",
+       "[328111 rows x 3 columns]"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import time\n",
+    "import datetime\n",
+    "\n",
+    "# Determine closest contest a year ago from today\n",
+    "ts = time.mktime(datetime.datetime.strptime(\"25/04/2022\", \"%d/%m/%Y\").timetuple()) - 31557600\n",
+    "\n",
+    "# Figure out which CodeChef contest this is\n",
+    "sid = 0\n",
+    "for i, contest in enumerate(checkpoint_contests):\n",
+    "    if name_to_time[contest] > ts:\n",
+    "        sid = i\n",
+    "        print('Cutoff contest:', contest)\n",
+    "        break\n",
+    "        \n",
+    "contest = checkpoint_contests[sid]\n",
+    "codechef_rank = pd.read_csv(f'{codechef_dir}/{contest}.csv')\n",
+    "\n",
+    "num_contest_csv = pd.read_csv(f'{elommr_dir}/{contest}_numcontests.csv')\n",
+    "\n",
+    "merged = pd.merge(codechef_rank, num_contest_csv)\n",
+    "merged = merged.drop([merged.columns[2]], axis=1)\n",
     "merged['username'] = merged['username'].apply(lambda x: userid_map[x])\n",
     "# merged['cur_sigma'] = 350.\n",
     "merged = merged.rename(columns={'username': 'handle', 'ratings': 'cur_mu'})\n",
     "display(merged)\n",
     "\n",
+    "contest_id = name_to_id[contest]\n",
     "# Save this as the initial condition\n",
-    "merged.to_csv(f'/home/work_space/elommr-data/cc_init_condition-{contest}-{sid}.csv', index=False)"
+    "merged.to_csv(f'/home/work_space/elommr-data/cc_init_condition-{contest}-{contest_id}.csv', index=False)"
    ]
   },
   {
@@ -1241,14 +1647,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 737,
+   "execution_count": 1187,
    "id": "ecb07a18-fb2b-430a-8235-043bdd8c40eb",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "f365e080dcf84bd3af0e8c088d1c452e",
+       "model_id": "2ab4b4a8002d4d51bbaafdb2c0069152",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1259,279 +1665,28 @@
      "metadata": {},
      "output_type": "display_data"
     },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "JUNE21C -631 1447 2.0 35.61611856752115\n",
-      "JULY21C -588 699 -6.0 -1.8894814024796693\n",
-      "AUG21C -582 806 -1.0 -2.010197324857635\n",
-      "CDMN21C -931 618 2.0 -4.592811487610542\n",
-      "OCT21C -599 747 2.0 1.9567309021537782\n",
-      "CSNS21B -680 701 5.0 0.009160380131282453\n",
-      "DEC21C -664 738 4.0 5.159488422343563\n",
-      "START21B -589 701 3.0 -1.3638577486669186\n",
-      "START24B -618 678 6.0 5.887930557859236\n",
-      "LTIME105A -596 936 -3.0 -7.8580527248560035\n"
-     ]
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/opt/conda/lib/python3.7/site-packages/ipykernel_launcher.py:21: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "COOK140A -632 1083 -10.0 -5.870676267118452\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    },
     {
      "data": {
-      "image/png": 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GjQwaNChEEX3hyJEjpKSkUFJSwsSJE3nssccYNWpUSGPavXs3kyZNYtOmTURF6f8PreXPioiEv9yDvgV0fdJ+eMqxOat9x6aPOPVYY02f7+trzpWn35c0PzNb6ZzLbq7+9Ju8lZo5cyYjRoxg1KhRXHXVVSFPAJ9++mnGjRvHvffeqwRQREQkDGhhSCs1d+7cUIdwkptuuombbrop1GGIiIhIM9GUjoiIiEgEUhIoIiIiEoGUBIqIiIhEICWBIiIiIhFISaA0WUpKSqhDEBERkSZSEhjGgrXdmXOOqqqqoPQtIiIiLUNJYCuUm5vLwIEDueWWWxg6dCg33ngjixYtYsKECfTr149ly5axbNkyzjnnHEaOHMk555zD5s2bAZgzZw7XXHMNV1xxBZdccgn79+/nyiuvJCsri7PPPpu1a9cC1Fk+a9YsvvGNbzBp0iT69u3Lgw8+WB3ToEGDuO222xg1ahS7du2qjrewsJDx48fz6quvtvAnJSIiIk2l+wTW4/Wceew5ktesfXZLyWDyWafuY1tTTk4OL7zwAo899hhjxoxh7ty5LF68mAULFvDb3/6Wp59+mvfff5+YmBgWLVrEf//3f/PSSy8B8PHHH7N27Vo6duzId7/7XUaOHMn8+fN5++23uemmm1i9ejW/+MUvai0H2LRpE++88w6HDx9mwIABfOc73wFg8+bNPPnkk/zlL3+pjnPv3r1MnTqV3/zmN1x88cXN+lmJiIhI8CgJbKUyMzMZNmwYAEOGDOGiiy7CzBg2bBi5ubkUFxdz8803s3XrVsyM8vLy6rYXX3wxHTt2BGDx4sXVyeGFF15IUVERxcXFdZYDXHbZZcTHxxMfH0+XLl3Yu3cvAGeccQZnn3129fuUl5dz0UUX8fDDD3P++ecH/0MRERGRZqMksB6BzNgFS3x8fPXzqKio6tdRUVFUVFTw85//nAsuuICXX36Z3NxcJk2aVF0/OTm5+nlte0ObWZ3lNd87Ojq6+ruF/v0CxMTEMHr0aN544w0lgSIiIm2MvhPYRhUXF9OzZ0/A9z3AukycOJFnnnkGgHfffZfOnTuTmppaZ3ljmBlPPPEEmzZt4r777mvaQERERCQkNBPYRt11113cfPPN/OlPf+LCCy+ss96sWbOYMWMGWVlZJCUl8dRTT9Vb3ljR0dE899xzXHHFFaSmpnLbbbc1qR8RERFpWVbbZcFIkZ2d7VasWHFS2caNGxk0aFCIIpK2RH9WRKSl5B78IwB90n54yrE5q33Hpo849VhjTZ/v62vOlafflzQ/M1vpnMturv50OVhEREQkAikJFBEREYlASgJFREREIpCSQBEREZEIFNQk0Mwmm9lmM8sxs7trOW5m9qB3fK2ZjWqorZn92qu72sz+Y2Y9vPI+ZnbMK19tZrODOTYRERGRtixoSaCZRQMPA1OAwcD1Zja4RrUpQD/vMRN4JIC2f3DOZTnnRgCvAPf49bfNOTfCe9wanJGJiIiItH3BnAkcC+Q457Y758qA54BpNepMA552PkuANDPrXl9b59whv/bJQNjd4yY3N5ehQ4cG9T127txJSkoKDzzwQHXZs88+y7Bhw8jKymLy5MkUFhYGNQYREREJnWAmgT2BXX6v87yyQOrU29bM7jWzXcCNnDwTmGlmq8zsPTM7r7agzGymma0wsxUFBQWNHVPY+P73v8+UKVOqX1dUVPC9732Pd955h7Vr15KVlcVDDz0UwghFREQkmIKZBFotZTVn7eqqU29b59zPnHO9gGeAO7zifKC3c24k8ANgrpmdsg+ac+4x51y2cy47PT09gGGE1vbt2xk5ciTvvfceY8eOZcSIEWRlZbF169ZTZgwfeOABZs2aBcCkSZP4yU9+wtixY+nfvz8ffPBBdb358+fTt29fhgwZUl3mnMM5x9GjR3HOcejQIXr06NFi4xQREZGWFcxt4/KAXn6vM4DdAdaJC6AtwFzgVeAXzrnjwHEA59xKM9sG9AdW1NIuIHuOzKO0Iq+pzWuVEJNBt5RrA6q7efNmrrvuOp588kkef/xxvve973HjjTdSVlZGZWUle/furbd9RUUFy5YtY+HChfzyl79k0aJFHD16lN///ve8+eabJ10Kjo2N5ZFHHmHYsGEkJyfTr18/Hn744dMaq4iIiLRewZwJXA70M7NMM4sDrgMW1KizALjJWyV8NlDsnMuvr62Z9fNrPxXY5JWnewtKMLO++BabbA/e8IKroKCAadOm8Y9//IMRI0Ywfvx4fvvb3/L73/+eHTt2kJiY2GAfX/3qVwEYPXo0ubm5APziF7/g+9//PikpKSfVLS8v55FHHmHVqlXs3r2brKwsfve73zX7uERERKR1CNpMoHOuwszuAN4AooEnnHPrzexW7/hsYCHwZSAHKAFm1NfW6/o+MxsAVAE7gBOrgCcCvzKzCqASuNU5t/90xhDojF0wtG/fnl69evHhhx8yZMgQbrjhBsaNG8err77KpZdeyt/+9jf69+9PVVVVdZvS0tKT+oiPjwcgOjqaiooKAJYuXcqLL77IXXfdxcGDB4mKiiIhIYFx48YBcOaZZwLwta99jfvuu68lhioiIiIhEMzLwTjnFuJL9PzLZvs9d8Dtgbb1yq+qo/5LwEunE29rEhcXx/z587n00ktJSUnh7LPPpm/fvtx5551s376dtWvXct5557Fv3z6KiopISUnhlVdeYfLkyfX26//dwFmzZpGSksIdd9zB7t272bBhAwUFBaSnp/Pmm28yaNCgYA9TREREQiSoSaCcnuTkZF555RUuvvhiLr/8cp5//nliY2Pp1q0b99xzD7Gxsdxzzz2MGzeOzMxMBg4c2OT36tGjB7/4xS+YOHEisbGxnHHGGcyZM6f5BiMiIiKtivkm4yJTdna2W7Hi5HUjGzdu1AyYBER/VkSkpeQe/CMAfdJ+eMqxOat9x6aPOPVYY02f7+trzpWn35c0PzNb6ZzLbq7+tHewiIiISARSEigiIiISgZQEioiIiEQgJYG1iOTvSUpg9GdERETaOiWBNSQkJFBUVKRf8lIn5xxFRUUkJCSEOhQREZEm0y1iasjIyCAvL4+CgoJQhyKtWEJCAhkZGaEOQ0REpMmUBNYQGxtLZmZmqMMQERERCSpdDhYRERGJQEoCRURERCKQkkARERGRCKQkUERERCQCKQkUERERiUBKAkVEREQikJJAERERkQikJFBEREQkAikJFBEREYlASgJFREREIpCSQBEREZEIpCRQREREJAIpCRQRERGJQEoCRURERCKQkkARERGRCKQkUERERCQCKQkUERERiUBKAkVEREQikJJAERERkQikJFBEREQkAikJFBEREYlASgJFREREIpCSQBEREZEIFNQk0Mwmm9lmM8sxs7trOW5m9qB3fK2ZjWqorZn92qu72sz+Y2Y9/I791Ku/2cwuDebYRERERNqyoCWBZhYNPAxMAQYD15vZ4BrVpgD9vMdM4JEA2v7BOZflnBsBvALc47UZDFwHDAEmA3/x+hERERGRGoI5EzgWyHHObXfOlQHPAdNq1JkGPO18lgBpZta9vrbOuUN+7ZMB59fXc8654865z4Acrx8RERERqSGYSWBPYJff6zyvLJA69bY1s3vNbBdwI95MYIDvh5nNNLMVZraioKCgUQMSERERCRfBTAKtljIXYJ162zrnfuac6wU8A9zRiPfDOfeYcy7bOZednp5ea+AiIiIi4S6YSWAe0MvvdQawO8A6gbQFmAtc1Yj3ExERERGCmwQuB/qZWaaZxeFbtLGgRp0FwE3eKuGzgWLnXH59bc2sn1/7qcAmv76uM7N4M8vEt9hkWbAGJyIiItKWxQSrY+dchZndAbwBRANPOOfWm9mt3vHZwELgy/gWcZQAM+pr63V9n5kNAKqAHcCJ/tab2fPABqACuN05Vxms8YmIiIi0ZUFLAgGccwvxJXr+ZbP9njvg9kDbeuVX1VL9xLF7gXubGq+IiIhIpNCOISIiIiIRSEmgiIiISARSEigiIiISgZQEioiIiEQgJYEiIiIiEUhJoIiIiEgEUhIoIiIiEoGUBIqIiIhEICWBIiIiIhFISaCIiIhIBFISKCIiIhKBlASKiIiIRCAlgSIiIiIRSEmgiIiISARSEigiIiISgZQEioiIiEQgJYEiIiIiEUhJoIiIiEgEUhIoIiIiEoGUBIqIiIhEICWBIiIiIhFISaCIiIhIBFISKCIiIhKBlASKiIiIRCAlgSIiIiIRSEmgiIiISARSEigiIiISgZQEioiIiEQgJYEiIiIiEUhJoIiIiEgEUhIoIiIiEoGUBIqIiIhEoKAmgWY22cw2m1mOmd1dy3Ezswe942vNbFRDbc3sD2a2yav/spmleeV9zOyYma32HrODOTYRERGRtixoSaCZRQMPA1OAwcD1Zja4RrUpQD/vMRN4JIC2bwJDnXNZwBbgp379bXPOjfAetwZnZCIiIiJtXzBnAscCOc657c65MuA5YFqNOtOAp53PEiDNzLrX19Y59x/nXIXXfgmQEcQxiIiIiISlYCaBPYFdfq/zvLJA6gTSFuAbwGt+rzPNbJWZvWdm59UWlJnNNLMVZraioKAgsJGIiIiIhJlgJoFWS5kLsE6Dbc3sZ0AF8IxXlA/0ds6NBH4AzDWz1FM6ce4x51y2cy47PT29gSGIiIiIhKeYIPadB/Tye50B7A6wTlx9bc3sZuBy4CLnnANwzh0HjnvPV5rZNqA/sKI5BiMiIiISToI5E7gc6GdmmWYWB1wHLKhRZwFwk7dK+Gyg2DmXX19bM5sM/ASY6pwrOdGRmaV7C0ows774FptsD+L4RERERNqsoM0EOucqzOwO4A0gGnjCObfezG71js8GFgJfBnKAEmBGfW29rh8C4oE3zQxgibcSeCLwKzOrACqBW51z+4M1PhEREZG2LJiXg3HOLcSX6PmXzfZ77oDbA23rlZ9VR/2XgJdOJ14RERGRSKEdQ0REREQikJJAERERkQikJFBEREQkAikJFBEREYlASgJFREREIpCSQBEREZEIpCRQREREJAIpCRQRERGJQEoCRURERCKQkkARERGRCKQkUERERCQCKQkUERERiUBKAkVEREQikJJAERERkQikJFBEREQkAikJFBEREYlASgJFREREIpCSQBEREZEIFFASaGYvmdllZqakUURERCQMBJrUPQLcAGw1s/vMbGAQYxIRERGRIAsoCXTOLXLO3QiMAnKBN83sIzObYWaxwQxQRERERJpfwJd3zawTMB24BVgF/A++pPDNoEQmIiIiIkETE0glM/snMBD4O3CFcy7fOzTPzFYEKzgRaZq5S3cCcMO43iGOREREWquAkkDgb865hf4FZhbvnDvunMsOQlwiIiIiEkSBXg7+TS1lHzdnICIiIiLScuqdCTSzbkBPINHMRgLmHUoFkoIcm4iIiIgESUOXgy/FtxgkA/iTX/lh4L+DFJOIiIiIBFm9SaBz7ingKTO7yjn3UgvFJCIiIiJB1tDl4P9yzv0D6GNmP6h53Dn3p1qaiYiIiEgr19Dl4GTvZ0qwAxERERGRltPQ5eBHvZ+/bJlwRERERKQlBHSLGDO738xSzSzWzN4ys0Iz+68A2k02s81mlmNmd9dy3MzsQe/4WjMb1VBbM/uDmW3y6r9sZml+x37q1d9sZpcGMjYRERGRSBTofQIvcc4dAi4H8oD+wI/ra2Bm0cDDwBRgMHC9mQ2uUW0K0M97zAQeCaDtm8BQ51wWsAX4qddmMHAdMASYDPzF60dEREREagg0CYz1fn4ZeNY5tz+ANmOBHOfcdudcGfAcMK1GnWnA085nCZBmZt3ra+uc+49zrsJrvwTf7WtO9PWct4vJZ0CO14+IiIiI1BBoEvhvM9sEZANvmVk6UNpAm57ALr/XeV5ZIHUCaQvwDeC1RryfiIiIiBBgEuicuxsYD2Q758qBo5w6q1eT1VLmAqzTYFsz+xlQATzTiPfDzGaa2QozW1FQUFBLE5HWb+7SncxdurPOYyIiIg1p6BYx/gbhu1+gf5un66mfB/Tye50B7A6wTlx9bc3sZnzfT7zIOXci0Qvk/XDOPQY8BpCdnX1KkigiIiISCQJdHfx34AHgXGCM98huoNlyoJ+ZZZpZHL5FGwtq1FkA3OStEj4bKHbO5dfX1swmAz8BpjrnSmr0dZ2ZxZtZJr7FJssCGZ+IiIhIpAl0JjAbGOw369Yg51yFmd0BvAFEA08459ab2a3e8dnAQnyLTXKAEmBGfW29rh8C4oE3zQxgiXPuVq/v54EN+C4T3+6cqww0XhEREZFIEmgSuA7oBuQ3pnPn3EJ8iZ5/2Wy/5w64PdC2XvlZ9bzfvcC9jYlRREREJBIFmgR2BjaY2TLg+IlC59zUoEQlIiIiIkEVaBI4K5hBiEjzcc6xetdBBnVPDXUoIiLSigV6i5j3gFwg1nu+HPgkiHGJSBPlFpXwwso8Xll7yuJ4ERGRaoGuDv4W8CLwqFfUE5gfpJhE5DRszD8EwCc7D7Lss0A29xERkUgU6I4htwMTgEMAzrmtQJdgBSUiTeOcY0P+Ifp0SiYtMZafz19HeWVVqMMSEZFWKNAk8Li3hy8A3g2jdaNlkdMQjJ09thUcYf/RMrIy2nN5Vnc27z3Mq2sbtahfREQiRKBJ4Htm9t9AopldDLwA/Dt4YYlIU7y5YR8Ag7qnMrB7KvExUazccSDEUYmISGsUaBJ4N1AAfAp8G9/9+/5vsIISkaZ5c8MeeqYl0j4xligzeqYlsjbvYKjDEhGRViigW8Q456rMbD4w3zlXENyQRKQpCg4fZ9Wug1w48Iuv6/bskMjS7fspq6giLibQ//OJiEgkqPe3gren7ywzKwQ2AZvNrMDM7mmZ8EQkUO9s2odzMKjbF/cH7JmWSFllFVv2Hg5hZCIi0ho1NDXwf/CtCh7jnOvknOsIjAMmmNn3gx2ciATuzY176ZmWSPf2CdVlGR2SAFibVxyqsEREpJVqKAm8CbjeOffZiQLn3Hbgv7xjItIKHCur5IOtBXxpUBfMrLq8Q1IsaUmxfPr5wdAFJyIirVJDSWCsc66wZqH3vcDY4IQkIo31YU4hpeVVfGlw15PKzYxhPdtrJlBERE7RUBJY1sRjItKCFm3cS0p8DOMyO51yLCujPZv3HKa0vDIEkYmISGvV0Org4WZ2qJZyAxJqKReRFlZV5Vi0cR/nD0ivdQXwsJ5pVFQ5NuYfYmTvDiGIUEREWqN6k0DnXHRLBSIijVNRVcU/luzg6Y9zKTxynMlDutVab3vBEQA+/bxYSaCIiFTTjcNEWpFAt5LbXniE/307h/87fx1xMVFcNSqDy7O611q3fWIsyfExtX4vMBhb14mISNsQ0M2iRaT1WLPrIH/74DM6JMXyxPRsLhjQhWeX7TppVbA/MyMjLZFPtThERET8aCZQpI15bd0eogzuuKAfFw7sWmfy569nh0S27jtMSVlFC0QoIiJtgZJAkTbm3c376NMpmcS4wL+ym5GWSJWD9btrW+clIiKRSEmgSBuy++AxNu05zIBu7RrVrkeHREA7h4iIyBeUBIq0Ie9uLgCgf9fGJYGpCbF0S03g07yDQYhKRETaIiWBIm3IO5v3kdEhkS7t4hvddlhGe9Z+rplAERHxURIo0kYcr6jkw5xCLhjQJaDFIDVl9WzP9oKjHC4tD0J0IiLS1igJFGkjln92gJKySpqQ/wG+mUCAdZ9rcYiIiCgJFGkz3tm8j7iYKPp2TmlS+6yMNABW7TrQjFGJiEhbpSRQpI14Z9M+xvftVOv+wIHomBxH/64pfLytqJkjExGRtkhJoEgIlZRV8OLKPO5/fRPllVV11sstPMr2wqNcMCD9tN7vnDM7szx3P2UVdb+XiIhEBm0bJxIiO4qOMu7etzh83LeLR7uEWNonxtZa993N+wCYNKALH/nN5Pnv/dvQPsBzl+6kotJRWl7Fqp0HGNe30+kOQURE2jDNBIqEyModB8Dg+W+P55LBXfnzoi0UHTlea913NhfQOSXupASwKTI7J2Nw2v2IiEjbpyRQJER2FJXQMy2RnH1H+NW0ocRFR/Gv1btxzp1U71hZJR9vL2JAI28QXZvEuGh6pCXqe4EiIqIkUCQUio4cp+DIcc7omARAt/YJ3DVlIDkFR3h22a6T6v57zW7KKqro38it4upyZnoKq3YdoKSsoln6ExGRtimoSaCZTTazzWaWY2Z313LczOxB7/haMxvVUFszu8bM1ptZlZll+5X3MbNjZrbae8wO5thETsfKHb7btJzRKbm67MaxvTkrPYVfv7KB3MKjAHx+8Bi/fmUDZ3RM4sz0pt0apqYz05Mpr3Qsz9WtYkREIlnQkkAziwYeBqYAg4HrzWxwjWpTgH7eYybwSABt1wFfBd6v5W23OedGeI9bm3lIIs1m5Y4DREcZPTskVpdFRRlXjc4gNtq487lVLPw0nx89v4Yq57gmuxdRTb1LdA1ndEomNtr4KKewWfoTEZG2KZgzgWOBHOfcdudcGfAcMK1GnWnA085nCZBmZt3ra+uc2+ic2xzEuEWCbnnufnqmJRIbffJfwfaJsdx3VRYb8w9x2zOf8PH2In5++WA6Jsc123vHxUQxsncHLQ4REYlwwUwCewL+X27K88oCqRNI29pkmtkqM3vPzM6rrYKZzTSzFWa2oqCgIIAuRZpXaXkln35eTJ9OSbUe//Kw7qz9xaXcfsFZ/P2bY7l2TK9mj+GcMzuxbncxx8oqm71vERFpG4KZBNZ27coFWCeQtjXlA72dcyOBHwBzzSz1lE6ce8w5l+2cy05PP70b74o0xdq8Ysor3UnfB6wpMS6anmmJnNcvHWumy8D+JpzVGedge+GRZu9bRETahmAmgXmA/xRGBrA7wDqBtD2Jc+64c67Ie74S2Ab0b1LkIkH0yU5vUUjH2mcCW8LwjDQSY6PZVnA0ZDGIiEhoBXPHkOVAPzPLBD4HrgNuqFFnAXCHmT0HjAOKnXP5ZlYQQNuTmFk6sN85V2lmffEtNtnerCMSaQZb9x6ha2o8SfEN//VraBeQpoqLiWJMZkc25R8KSv8iItL6BW0m0DlXAdwBvAFsBJ53zq03s1vN7MTK3YX4ErUc4K/AbfW1BTCzr5hZHjAeeNXM3vD6mgisNbM1wIvArc65/cEan0hTbSs40my3ezkdE87sxL7Dx9l3qDTUoYiISAgEde9g59xCfImef9lsv+cOuD3Qtl75y8DLtZS/BLx0miGLBJVzjm0FR7hyRCDrnILrnDM7A/Dx9iKmtYJ4RESkZQU1CRSRkxUeKeNwaQVnpp+8KCRYl33rM7hHKgmxUXyYU6gkUEQkAikJFGlB2wp8q3HP7JLCrv3Haq3TUglhdJTRt3OK7hcoIhKhtHewSAuqTgJbwXcCwbeFXN6BY+zaXxLqUEREpIUpCRRpQdv2HSUpLppuqQmhDgWAvl4y+qG2kBMRiThKAkVa0LaCI2R2TiYqqvlvAN0UXdrFk94uXpeERUQikL4TKNKC1uYdpFfHpJAsBPF34v3NjHPO7MSHOUU454KyO4mIiLROmgkUaSGl5ZUcLCknvV18qEM5yYQzO1N45Dhb92kLORGRSKIkUKSFfFZ4FAekp7SuJHD8mZ0AfS9QRCTSKAkUaSEnVga3tpnAXh2TODM9mdfX7Ql1KCIi0oKUBIq0kJx9RzCgcyubCQSYOrwny3L3s/tg7fcuFBGR8KMkUKSFbMo/TKeUOGKjW99fu6kjeuAcvLJ2d6hDERGRFtL6fhuJhKkN+Yfo1j4x1GHUKrNzMsMz2rNgjZJAEZFIoSRQpAUcLi1n5/4SerRvHTeJrs0Vw3uw7vND1d9dFBGR8KYkUKQFbNpzGIBurTAJnLt0J3OX7qSi0mHALxdsOKlcRETCk5JAkRawMf8QAN1b6eVggNTEWIZltOejbYV8rgUiIiJhT0mgSJDNXbqTDbsP0SEpltSE1r1Jz6VDugFw/+ubQhyJiIgEm5JAkRawMf8Qg7qntvpt2TokxXFev878a/VudhYdDXU4IiISREoCRYKsssqxac9hBndPDXUoAZnYP51uqQk8t2IXh0vLq8v1/UARkfCiJFAkyIqOHOd4RRWD2kgSGB8TzWM3jebo8Qqe/ngHR49XhDokEREJAiWBIkGWf6gUoM0kgQBZGWlcP6Y3uw8eY9aC9aEOR0REgkBJoEiQ7T5wjNho46wuKaEOpVEGdk/l3LM68+IneWzacyjU4YiISDNTEigSZNsLjzKyVwfiYtreX7fzB6TTLj6G+1/fHOpQRESkmbW930oibUhxSTm7Dx5j/JmdQh1Ko5xYBJIUF8NtF5zF25v2sb1QO4mIiIQTJYEiQbTksyIcMOGszqEOpcmmn9OHLu3i+WBLYahDERGRZqQkUCSIPt5WRGy0MaJXWqhDabKE2GimDu9BTsGRk24ZIyIibZuSQJEg+mhbIX06JbfJ7wP6mzKsG5VVjrc37Qt1KCIi0kza9m8mkVZs3+FStuw9wpnpKcxdurNN32x5ZK8OtEuI4bVP94Q6FBERaSZKAkWC5ONtRQD0TU8OcSSnLyrKGNw9lXe37ONYWWWowxERkWagJFCkGfnP+H2wtZDUhBh6pCWGOKrTc2JMQ3u2p7S8ive26JKwiEg4UBIoEgRVVY53Nu1j0oAuRJmFOpxm0adTMklx0cx+b3uoQxERkWagJFAkCFbnHaToaBkXDeoS6lCaTXSUMaBrO7bsPUxllQt1OCIicpqUBIoEwVsb9xIdZUzqHz5JIED/ru0oKavk08+LQx2KiIicpqAmgWY22cw2m1mOmd1dy3Ezswe942vNbFRDbc3sGjNbb2ZVZpZdo7+fevU3m9mlwRybSH1eWvk52Wd0oH1SbKhDaVZndUnBgHc363uBIiJtXdCSQDOLBh4GpgCDgevNbHCNalOAft5jJvBIAG3XAV8F3q/xfoOB64AhwGTgL14/Ii3qQEkZew6V8qVBXUMdSrNLjo8ho0Mi724uCHUoIiJymoI5EzgWyHHObXfOlQHPAdNq1JkGPO18lgBpZta9vrbOuY3Oudp2s58GPOecO+6c+wzI8foRaVGb9hwGCKvvA/rr37Uda/IOcuBoWahDERGR0xDMJLAnsMvvdZ5XFkidQNo25f0ws5lmtsLMVhQUaDZDmt+2fUfomBxH3/SUUIcSFP27tsM5eH+r/v6IiLRlwUwCa7svRs0lhXXVCaRtU94P59xjzrls51x2enp6A12KNI5zjh1FRzmjY1KoQwmanh0S6ZAUy3u6JCwi0qbFBLHvPKCX3+sMYHeAdeICaNuU9xMJqv1HyzhaVskZndr+LiF1iTJjYv903t9aQFWVIyoqPO6DKCISaYI5E7gc6GdmmWYWh2/RxoIadRYAN3mrhM8Gip1z+QG2rWkBcJ2ZxZtZJr7FJsuac0AiDdlRVALAGZ3CdyYQ4Pz+6RQeKWP97kOhDkVERJooaEmgc64CuAN4A9gIPO+cW29mt5rZrV61hcB2fIs4/grcVl9bADP7ipnlAeOBV83sDa/NeuB5YAPwOnC7c06bnEqL2rH/KAmxUaS3iw91KEFVeMS3KOR/3toa4khERKSpgnk5GOfcQnyJnn/ZbL/nDrg90LZe+cvAy3W0uRe49zRCFjktO4pK6N0xKWy2iqtLSnwMPdMS2bL3cKhDERGRJtKOISLNpLiknH2Hj4f19wH99e+awq79JRSXlIc6FBERaQIlgSLN5JOdBwCqVwbPXbqTuUt3hjKkoOrftR0O+CBHq4RFRNoiJYEizWTFjv1EGWR0CO9FISdkdEgiMTZau4eIiLRRSgJFmsmyz/bTIy2RuJjI+GsVHWX065rCWxv3UlFZFepwRESkkSLjt5VIkB0rq2T1roP07Ryeu4TUZWiP9hwoKWdZ7v5QhyIiIo2kJFCkGazccYDySkff9MhYFHJC/67tSIiN4vV1e0IdioiINJKSQJFm8PH2QqKjLOxvEl1TXEwU5/dP5431e6iqamhnRxERaU2UBIo0gyXb95OV0Z74mOhQh9Lipgztzt5Dx7n/9U2hDkVERBpBSaDIaTp6vII1uw4yvm+nUIcSEkVHyog2Y522kBMRaVOCumOISDg7cQ/AjA6JVFQ5zu7bibwDx0IcVctLjIvmrC4prM07SEVlFTHR+r+liEhboH+tRU7TR9uKiIkysvt0CHUoITP6jA4cKq3gvS26Z6CISFuhJFCkCU7MApaWVzJv+U7O69eZpLjInVgf1D2VlPgYnl22K9ShiIhIgJQEipyG97cWcKCknB9eMiDUoYRUdJQxqncH3tm8j72HSkMdjoiIBEBJoEgTHSot58OcQqYO78HQnu1DHU7IjenTgcoqx4sr84Dw3ztZRKStUxIo0kSLNuylssrxw0v6hzqUVqFTSjznnNmJpz7KpaSsItThiIhIA5QEijRBzr4jrNhxgAlndeaMTsma9fL88JL+7Dt8nMfe3x7qUEREpAFKAkUCdCLJO1xazj8/yaNzSjxfGtQ1xFG1LqPP6Mhlw7rz6HvbOXSsPNThiIhIPZQEijTSA29spvhYOVeP6kms7ol3ikHdUymrrOI/G7SfsIhIa6bfYCKNkHeghLnLdjImsyO9OyWHOpxWZ+7SnXRMjmPCmZ34ZOdBcguPhjokERGpg5JAkUb4y7vbMIxJ/dNDHUqrduHArqQlxjJ/9eeUVVSFOhwREamFkkCRAB0oKeOFFbv42pgM0pLiQh1OqxYXE8UVw3uw7/Bx/rZYi0RERFojJYEiAXrf2xLttklnhTiStmFQ91QGd0/l4bdz2H+0LNThiIhIDUoCRQJwvKKSNXkHuSKrBz3SEkMdTptx8eCulJRX8tcPNBsoItLaKAkUCcB7mwsoLa9i6ogeoQ6lTemamsAVWT14/IPPdO9AEZFWRkmgSAD+vTafpLhoJpzV+ZRjukl0/e68qB/llVV8sLUg1KGIiIifmFAHINLalZRVsGjDXoZltOeFFXmhDqfNOatLCsN7pbFkexGFR47TOSU+1CGJiAiaCRRp0KKN+zhWXklWRvtQh9ImzV26kwsHdKGi0vHoe9tCHY6IiHiUBIo04JU1u+maGk8f3Ry6yTq3i2dErzT+vmQH+w6XhjocERFBSaBIvcoqqvgwp5CLB3clyizU4bRpFwzsQllFFbPf1QIREZHWQEmgSD1W7jjA0bJKcEoAT1fnlHhG9urAP5bsYMvew6EOR0Qk4ikJFKnHB1sLiDLom65Lwc3h0qHdSEmI4ccvrKGisoq5S3dqdbWISIgoCRSpx/tbC+jdMYmE2OhQhxIWUuJj+OXUIazJK+bxxZ+FOhwRkYgW1CTQzCab2WYzyzGzu2s5bmb2oHd8rZmNaqitmXU0szfNbKv3s4NX3sfMjpnZau8xO5hjk/BXdOQ46z4/xFld2oU6lLByeVZ3Lh3SlT+8sVmXhUVEQihoSaCZRQMPA1OAwcD1Zja4RrUpQD/vMRN4JIC2dwNvOef6AW95r0/Y5pwb4T1uDc7IJFIszikEoH/XlBBHEl6eXbaLcZmdGNCtHc8s3cGOoqOhDklEJCIFcyZwLJDjnNvunCsDngOm1agzDXja+SwB0sysewNtpwFPec+fAq4M4hgkgr23pYAOSbHaKzgIEmKjeeobY2mfGMtTH+eyYfehUIckIhJxgpkE9gR2+b3O88oCqVNf267OuXwA72cXv3qZZrbKzN4zs/NqC8rMZprZCjNbUVCgbaykdpVVjnc3F3Bev3TdGiZIOqfE840JmcTHRPO1Rz/ms0LNCIqItKRgJoG1/eZ0AdYJpG1N+UBv59xI4AfAXDNLPaUT5x5zzmU757LT09Mb6FIi1bLP9rP/aBmTh3YLdShhLS0pjhkT+lDlHF9/fCkHS8pCHZKISMQIZhKYB/Tye50B7A6wTn1t93qXjPF+7gNwzh13zhV5z1cC24D+zTISiThvrN9DfEwU5/fXfxSC5cStYbq0S+Cm8X3Ye6iUH7+4lmeW7NBtY0REWkAwk8DlQD8zyzSzOOA6YEGNOguAm7xVwmcDxd4l3vraLgBu9p7fDPwLwMzSvQUlmFlffItNtDWBNFpVleP1dXs4v386yfExoQ4nIvTumMRPJg/kzQ17+WhbUajDERGJCEH7DeecqzCzO4A3gGjgCefcejO71Ts+G1gIfBnIAUqAGfW19bq+D3jezL4J7ASu8conAr8yswqgErjVObc/WOOT8DR36U527S9hz6FS7ho6INThRJRvnpvJku37eX3dHt2cW0SkBQR1msM5txBfoudfNtvvuQNuD7StV14EXFRL+UvAS6cZsgjrdxcTE2VcNLCrLku2IDPj/quzOO/+d3hxZR7fvbAfcTG6n72ISLDoX1gRP845Pv28mMzOybz6aX6ow4k4HZPj+OrInuQXl/LQ21tDHY6ISFhTEijiZ0dRCQdKyhnRKy3UoUSsQd1TGdU7jYff3ca6z4tDHY6ISNhSEijiZ9WuA8RFRzG4xyl3F5Igm7t0Z/Xl98uG9aBTchw/emENZRVVIY5MRCQ8KQkU8ZSWV/Lp58UM6ZFKfEx0qMOJaIlx0dz7lWFs2nOY255ZGepwRETCkpJAEc9bG/dRWl7FyN4dQh2KAAWHj5OV0Z53NhWwZe/hUIcjIhJ2lASKeF76JI/UhBjdnqQVuTyrB/GxUfz4hTVUVOqysIhIc1ISKALs2l/Cu5v3Map3B+0V3IqkxMcwdXgP1uQV88SHn4U6HBGRsKIkUAR4xluQMDazY4gjkZqG9WzPJYO78sf/bOGTnQdCHY6ISNhQEigRr7S8knnLdzKoeyppSXGhDkdqMDOy+3Ske/sEvjFnOTn79P1AEZHmoCRQIt6CNbs5UFLO+L6dQh2K1CElPoarR/eistJx1SMfk7PvSKhDEhFp85QESkT7x5IdPPlhLgO6tiOzsxaEtGYdk+OYPqEPFVWOqx75iOW52hpcROR0KAmUiLbu82I25h9i5sS+mBaEtHrd2yfynfPPJDY6iusfW8LirYWhDklEpM1SEigRq7yyijc37GVA13ZcObJnqMORAHVMjuPWiX3pnBLPN+Ys5/evbQp1SCIibZKSQIlY85bvouhoGXdNHkB0lGYB25Kk+BimT+hDSkIMcz7KZfMeLRYREWksJYESkQ6VlvPnRVs5o1MSFw7sEupwpAlSE2L5xoRMYqKNrz++lF37S0IdkohIm6IkUCLSn/6zhaKjx7lsWHd9F7AN65gcxzcmZFJWWcWNf1MiKCLSGEoCJeKs313MUx/lMrZPRzI6JDF36U7mejeLlrana2oC14/pzcGSMqY+tJiPtxWFOiQRkTZBSaBElMoqx/+dv46kuGguGdwt1OFIM+nVMYlbzutLTFQU//X4Uv705hbKKrTXsIhIfZQESkR55N0cVu08yGVZ3UmMiw51ONKMOqfE851JZ3JFVncefGsr593/Nve/rpXDIiJ1iQl1ACItZfWug/y/RVvJymjP8Iy0UIcjQZAQG83YzE60S4jlX6s/Z/Z723DA9y7qR0Kskn4REX+aCZSIUHjkOHc+u4puqQlMG95Ti0HC3KDuqXzvov6M7N2BR97dxtSHFrPu8+JQhyUi0qooCZSwd7i0nOlPLiO/+BhXDO+hy8ARIjEumqtGZfDkjDEcLCln6kOL+e3CjRwqLQ91aCIirYKSQAlrh0vLmfn0SjbmH+aGsb3p3TEp1CFJC8s/WMrMiX0Z2bsDf/1gOxc+8C7zlu+kssqFOjQRkZBSEihha/fBY1wz+2OWflbEVaN6MqBbaqhDkhBJiovhqlEZfOf8M0mKi+EnL33Kefe/zXtbCnBOyaCIRCYlgRKW/rN+D1Mf+pDPCo9y8/g+jOjVIdQhSSuQ0SGJb0/sy7XZvSg5XsnNTyzjyoc/5LVP8zUzKCIRR6uDJazs2l/C71/fxCtr8xnYrR03jOtNt9SEUIclrYiZMbxXGkN6prJq50He21LAd575hIwOicyYkMnXsjNolxAb6jBFRIJOSaCEhV37S3j0/W3MW74L5+CiQV04v386MVGa7JbaxURFMaZPR0af0YGN+YdYnFPIr1/ZwJ/f3MKNZ5/BN8/NJL1dfKjDFBEJGiWB0qZt2H2I2e9t49VP88HB6D4duGBAF9onaiZHAhNlxpAe7RnSoz15B0r4YGshj763jSc//Iwrhvfg6tEZjO3Tkago3VZIRMKLkkBpcyoqq3h3cwFPL9nB+1sKiIuJYnzfTkw4q7OSPzktGR2SuH5sbwoPH+eDnAL+vWY3L67MI71dPBcN7MJFg7py7lmddZshEQkLSgKlzdhTXMpzy3fy5Ie5FB8rJ71dPJcM7sq4zE76pSzNqnO7eL4yMoPLhvVgY/4hNuQf4uVVn/Pc8l3Ex0RxXr/OXDKkG18a1JWOyXGhDldEpEmUBEqrll98jNfX7eGpj3awc/9Rqhz065LCZcO6M6h7KtG6RCdBFBcTxfBeaQzvlUZFVRW5hSVszD/EitwDLNq4jyiDsZkdOa9fOlkZ7RnQrR3pKfHakUZE2oSgJoFmNhn4HyAa+Jtz7r4ax807/mWgBJjunPukvrZm1hGYB/QBcoGvOecOeMd+CnwTqATudM69EczxSfNyzpFfXMqG3YdYseMAH28vYs2ugwB0aRfPpAFdGNW7g2ZeJCRioqI4q0sKZ3VJ4fKs7uw+WMqG/GI25B9iyfb91fVS4mM4o1MSfTonk9kp2fezcxJ9OiXTMTlOCaKItBpBSwLNLBp4GLgYyAOWm9kC59wGv2pTgH7eYxzwCDCugbZ3A2855+4zs7u91z8xs8HAdcAQoAewyMz6O+cqgzVGaZqqKkfhkePs3F/Cpj2H2ew9Nu05xKHSCgBio41uqQlcMrgrQ3q01ypNaVXMjJ4dEunZIZGLB3fjWFklnx88xr7DpRQdKaPo6HE+3lbEa5/m43/7wdSEGDI7J9MjLZG0pFjSkuJIS4wlLSmW9olxpCXF0iEpznsdS0KsvuYgIsETzJnAsUCOc247gJk9B0wD/JPAacDTznfL/iVmlmZm3fHN8tXVdhowyWv/FPAu8BOv/Dnn3HHgMzPL8WL4OIhjDDvOOZwDd+I5eK995QAVVY5jZZWUlldyrLySY2Vf/Dx8vILDpeUcKa3gyPEKDpf6HkeOl3OgpJz84mPsKS6lvPKL34zxMVF0S01gYPdUuqUm0L19Aj3SEomN1u1dpG1IjIuuniX0V1FVxcGj5RQePU7RkTIKj/h+rtxxgJIy39+Zynp2LImLjiI+Nor4mGgSYqOIj4kiITaa+BhfWXxsFHHRUcTF+B7xMSe/jouOJibaiI4yYqJ8P088fK+jiI6C6KioL46bER1tJ7329RFFtBlmcGIy06jjNV+U4VcGvgT6xHHzSqvbG9UzpbXVMe9AzbITfeLfxr/POur4T8rWLPNv80V8msWV8BLMJLAnsMvvdR6+2b6G6vRsoG1X51w+gHMu38y6+PW1pJa+ItqFf3yXPcWlVPkld/gldTWTveZkQHxsFAneL6vE2Gg6JsXRt3MK7b3Zj66pCaQlxuofVwlLMVFRdG4XT+c6ZrKdc5RVVnGsrJIS73GsvJKSsorq/2iVVzkqKh0VlVXe8yoOHaugvKqMikpHZZWjoqqKiipHZaWjwntdWeXQJijBUW+i6CWgNcv8E+GmmPUV31cOLnv59VOOTRrlO/aHf556rNE6+voack/tff39lnGM6q0dmMJFMJPA2v681/wnqa46gbRtyvthZjOBmd7L42a2roF+w1FnoDDUQYSAxh1ZNO7IEtbj/tqv6zzUeUMLjnt03XG0tLA+3/UY0JydBTMJzAN6+b3OAHYHWCeunrZ7zay7NwvYHdjXiPfDOfcY8BiAma1wzmU3ZlDhQOOOLBp3ZNG4I4vGHVnMbEVz9hfML10tB/qZWaaZxeFbtLGgRp0FwE3mczZQ7F3qra/tAuBm7/nNwL/8yq8zs3gzy8S32GRZsAYnIiIi0pYFbSbQOVdhZncAb+C7zcsTzrn1Znard3w2sBDf7WFy8N0iZkZ9bb2u7wOeN7NvAjuBa7w2683seXyLRyqA27UyWERERKR2Qb1PoHNuIb5Ez79stt9zB9weaFuvvAi4qI429wL3NiLExxpRN5xo3JFF444sGndk0bgjS7OO21xzLwkVERERkVZPN2ITERERiUARmwSa2WQz22xmOd7OI2HFzHLN7FMzW31iNZGZdTSzN81sq/ezg1/9n3qfxWYzuzR0kTeOmT1hZvv8b/XTlHGa2Wjv88oxswetld+4sI5xzzKzz71zvtrMvux3rM2P28x6mdk7ZrbRzNab2fe88rA+3/WMO9zPd4KZLTOzNd64f+mVh/v5rmvcYX2+TzCzaDNbZWaveK/D+nyfUMu4W+Z8+3aIiKwHvsUm24C++G5HswYYHOq4mnmMuUDnGmX3A3d7z+8Gfu89H+x9BvFApvfZRId6DAGOcyIwClh3OuPEt5J8PL77Tb4GTAn12Jow7lnAj2qpGxbjBroDo7zn7YAt3tjC+nzXM+5wP98GpHjPY4GlwNkRcL7rGndYn2+/8fwAmAu84r0O6/Ndz7hb5HxH6kxg9ZZ2zrky4MS2dOFuGr6t9vB+XulX/pxz7rhz7jN8q7XHtnx4jeecex/YX6O4UeM03/0mU51zHzvf36Sn/dq0SnWMuy5hMW7nXL5z7hPv+WFgI75dgcL6fNcz7rqEy7idc+6I9zLWezjC/3zXNe66hMW4AcwsA7gM+JtfcVifb6hz3HVp1nFHahJY13Z14cQB/zGzlebbJQVqbLkH+G+5F06fR2PH2dN7XrO8LbrDzNaa73LxicsmYTduM+sDjMQ3SxIx57vGuCHMz7d3iWw1vk0B3nTORcT5rmPcEObnG/gzcBdQ5VcW9ueb2scNLXC+IzUJbMq2dG3NBOfcKGAKcLuZTaynbiR8HtC82xS2Ro8AZwIjgHzgj155WI3bzFKAl4D/45w7VF/VWsrCadxhf76dc5XOuRH4doAaa2ZD66ke7uMO6/NtZpcD+5xzKwNtUktZOI27Rc53pCaBAW0x15Y553Z7P/cBL+O7vLvXmzLGmrDlXhvS2HHmec9rlrcpzrm93i+PKuCvfHFJP2zGbWax+BKhZ5xz//SKw/581zbuSDjfJzjnDgLvApOJgPN9gv+4I+B8TwCmmlkuvq9oXWhm/yD8z3et426p8x2pSWAgW9q1WWaWbGbtTjwHLgHWETlb7jVqnN4lhsNmdra3muomvzZtxol/KD1fwXfOIUzG7cX4OLDROfcnv0Nhfb7rGncEnO90M0vznicCXwI2Ef7nu9Zxh/v5ds791DmX4Zzrg+938tvOuf8izM93XeNusfPd0MqRcH3g265uC76VNT8LdTzNPLa++FYPrQHWnxgf0Al4C9jq/ezo1+Zn3mexmTawksov7mfxTZWX4/uf0DebMk4g2/tLtg14CO9G6q31Uce4/w58Cqz1/qHoHk7jBs7Fd3ljLbDae3w53M93PeMO9/OdBazyxrcOuMcrD/fzXde4w/p81/gMJvHFKtmwPt/1jLtFzrd2DBERERGJQJF6OVhEREQkoikJFBEREYlASgJFREREIpCSQBEREZEIpCRQREREJAIpCRQRERGJQEoCRURERCKQkkARERGRCPT/Ab/8eiNDTBflAAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
+       "Text(0, 0.5, 'Average rating gap')"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
+     "execution_count": 1187,
+     "metadata": {},
+     "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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OHUlgHURERESSRiITtxqgIepxo78snm3GKrsIeK2ZrTGzx8zs/JGe3MxuMLP1Zra+paXlDKohIiIikhwSmbjZCMtcnNuMVTYbmAJcBHwCuM/MXra9c+57zrmVzrmVVVVV8UctIiIikqQSdo4bXitZXdTjWqApzm1yxyjbCNzvnHPAWjOLAJWAmtVEREQkrSWyxW0dsNDM5ppZLnAt8EDMNg8A1/ujSy8COpxzzeOU/TXwegAzW4SX5LUmsB4iIiIiSSFhLW7OuSEzuwl4GMgC7nDObTGzG/31twMPAdcAu4HjwPvGKuvv+g7gDjN7ERgA3uO3vomIiIiktUR2leKcewgvOYtednvUfQd8ON6y/vIB4N0TG6mIiIhI8tPMCSIiIiIpQombiIiISIpQ4iYiIiKSIpS4iYiIiKQIJW4iIiIiKUKJm4iIiEiKUOImIiIikiKUuImIiIikCCVuIiIiIilCiZuIiIhIilDiJiIiIpIilLiJiIiIpAglbiIyoVavqQ86BBGRtKXETURERCRFKHETkcCodU5E5NQocRMRERFJEUrcRERERFKEEjcRSRrqOhURGZsSNxEREZEUocRNREREJEUocRMRERFJEUrcRERERFKEEjcRERGRFKHETURERCRFKHETERERSRFK3ERERERShBI3ERERkRShxE1EREQkRShxExEREUkRStxEREREUoQSNxEREZEUocRNREREJEUocROR07Z6TT2r19QHHYaISMZQ4iYiIiKSIpS4iUhCqUVORGTiKHETERERSRFK3ERERERShBI3ERERkRShxE1EREQkRShxExEREUkRCU3czOwqM9thZrvN7OYR1puZ3eqv32Rm541X1sw+b2YHzWyDf7smkXUQERERSRYJS9zMLAv4DnA1sAS4zsyWxGx2NbDQv90A3BZn2W8651b4t4cSVQcRERGRZJLIFrcLgN3Oub3OuQHgXmBVzDargLuc51mg3MxmxFlWREREJKMkMnGrARqiHjf6y+LZZryyN/ldq3eY2ZSRntzMbjCz9Wa2vqWl5XTrICIiIpI0Epm42QjLXJzbjFX2NmA+sAJoBr4+0pM7577nnFvpnFtZVVUVV8AiIiIiySw7gftuBOqiHtcCTXFukztaWefc4eGFZvZ94LcTF7KIiIhI8kpki9s6YKGZzTWzXOBa4IGYbR4ArvdHl14EdDjnmscq658DN+xtwIsJrIOIiIhI0khYi5tzbsjMbgIeBrKAO5xzW8zsRn/97cBDwDXAbuA48L6xyvq7/qqZrcDrOt0P/FOi6iAiIiKSTBLZVYp/qY6HYpbdHnXfAR+Ot6y//O8nOEwRCdDqNfW868JZQYchIpISNHOCiAQmHIkdryQiImNJaIubiEisA209fPtPu9l8sIOdh7t4/VnT1eImIhIntbiJyKRxzvGJn2/it5uaqS7Lp6okj2f3tjEYjgQdmohISlDiJiKTZndLN2v3H+XT15zFne+7gCuWVNPdP8Sj244EHZqISEpQ4iYik8I5xx+3HmZmWT44b1DCoukllOZnc8/a+qDDExFJCUrcRGRS/Gn7ERqO9fKRyxaSneV99WSFjJVzKnh8VwsNR4+ftP3qNUrmRERiKXETkYRzzvGNR3ZSUZTL37yy9qR1K2d70w3ft75hpKIiIhJFiZuIJNzDWw6xpamT1y+eRk7WyV875YW5XLqoip+ta9DlQURExqHETUQSKuIc33xkF/Mqizi3rnzEbVatqOFIVz9HuvomNzgRkRSjxE1EEmrzwQ52HO7iY5cvJCtkI26zvLYMgIPHeiczNBGRlKPETUQSZigc4dFtR1g0vZg3L5856nZzphZRkpfNwXYlbiIiY1HiJiIJ8+sNTbR29/Mvly8iNEprG0AoZJxTU6bETURkHErcRCQhGo4e5wsPbqF2SgFXLq0ed/tltWUc6uhjYEizKIiIjEaJm4hMuP6hMB/66fM44NrzZ43Z2jZsWU0ZQxHHzsNdiQ9QRCRFKXETkQn3pd9uY/PBDr7+jnOpKMqNq8yyGm+AwosHOxIZmohISlPiJiITavuhTu5+9gAfuHguV8TRRTps9tRC8nNCbFLiJiIyKiVuIjJhuvuH+M2GJhZNL+aTV511SmXNjJnlBWpxExEZgxI3EZkwX/39djp7B/nPty8nN/vUv15qywvY1txJ/1A4AdGJiKQ+JW4iMiHW7z/K3c8e4KL5U3mlP//oqZpZXsBg2LHzUPcERycikh6UuInIhPjawzuoLs3nirOnn/Y+aqcUAt5sCyIi8nJK3ETkjB3q6GPt/qNcd8Es8nKyTns/UwpzKCvIYfPB9okLTkQkjShxE5Ez9r+bm3EO3rR8xhntx8xYPL2E3UfUVSoiMhIlbiJyxh7c2MSSGaXMqyo+433Nn1bMnpaeCYhKRCT9KHETkTNytGeADQ3tvPnc0SeRPxXzq4o42jNAT//QhOxPRCSdKHETkXGtXlM/6rrhgQRn2k06bP40r9Wupat/QvYnIpJOlLiJyBnZ3NjOuXXl1FUUTsj+FvjdrS3dStxERGJlBx2AiKSu1u5+mjr6+IeL557RfqJb9GaWF5CXHVKLm4jICNTiJiKnbU+LN/rz8jO4dlusrJAxt7JIiZuIyAiUuInIKRtuIdvf2kNJXjazp05MN+mwBdOK1VUqIjICJW4ictoOtB1ndmURZjah+51fVcyxngH6BjVnqYhINCVuInJaDrb30t47yJwJbm0Db2Spw0sMRUTkJUrcROS0rNt3FIA5U4smfN/zq7x9Dp9DJyIiHiVuInJa1u0/Sl52iOqy/Anf97xK75IgmvpKRORkuhyIiJyWdfuPMquikNAEn982PPChvDBHLW4iIjGUuInIKTs+MMTOw928YcnolwEZa7aFeEwryVPiJiISQ12lInLKhgcNTPRlQKJVFeex50gPkYhL2HOIiKQaJW4icsoOtPWQk2XUTUlc4lZZkkfvYJjmzr6EPYeISKpR4iYip2x/23GW1ZSRk3XqXyHxdqFWFecBsK+l55SfQ0QkXekcNxE5JQNDEZrae7ki6vy2Mz2fbSSVw4lbazcXL6yc8P2LiKSihLa4mdlVZrbDzHab2c0jrDczu9Vfv8nMzjuFsh83M2dm+kYXmUQ7DnUxFHGsmFU+6jYTkciV5GdTmJvFvlZdhFdEZFjCEjczywK+A1wNLAGuM7MlMZtdDSz0bzcAt8VT1szqgDcAE/9vvoiMaUNjOwDn1pYn9HnMjDlTi9jXqpGlIiLDEtnidgGw2zm31zk3ANwLrIrZZhVwl/M8C5Sb2Yw4yn4T+CSg4WYik2xDfTtFednUTilI+HPNrSpiX6t3jlsiumNFRFJNIhO3GqAh6nGjvyyebUYta2ZvAQ465zZOdMAiMr6Nje3UTSmY8InlRzKvsoiGY70MDEUS/lwiIqkgkYnbSN/qsS1ko20z4nIzKwQ+C3xu3Cc3u8HM1pvZ+paWlnGDFZHxdfYNsqele1Ja2wDmVhYRjjgajuk8NxERSGzi1gjURT2uBZri3Ga05fOBucBGM9vvL3/ezKpjn9w59z3n3Ern3MqqqqozrIqIAGxu7MA5Enr9tmhzK73J5ve36pIgIiKQ2MRtHbDQzOaaWS5wLfBAzDYPANf7o0svAjqcc82jlXXObXbOTXPOzXHOzcFL8M5zzh1KYD1ExLehoR2A2klO3PYpcRMRARJ4HTfn3JCZ3QQ8DGQBdzjntpjZjf7624GHgGuA3cBx4H1jlU1UrCISnw0N7cyrLKIgN2tSnq+8MJcphTnsbe3hnJllk/KcIiLJLKEX4HXOPYSXnEUvuz3qvgM+HG/ZEbaZc+ZRikg8nHNsaGjn4gWTe+nEuZVF7GtR4iYiAprySkTi1NzRR0tXP+fWegnUZF2eY25lMfvb1FUqIgJK3EQkThv989vOrSuf1OedW1lIc0efLgkiIoISNxGJ06aDHeRkGUtmlk7q886tLAagrad/Up9XRCQZKXETkbhsamxncXUJedmTMzBh2PDI0tbugUl9XhGRZKTETUROsnpN/cvOX3POsamxg+UJnp90JHMqvUuPtHarxU1ERImbiIzraM8AXX1DLK+Z3JGdq9fUU5ibzYyyfNqUuImIKHETkfE1tvcCsKw2mEtyzJlapK5SERGUuIlIHA4e6yUvO8Si6SWBPP/cqiJ1lYqIoMRNROLQeKyXJTNLyckK5itjXmURxwfCtB9Xq5uIZLa4voXN7Jdm9kYzU6InkmHCEUdTR++kn98WTXOWioh44k3EbgPeBewys1vM7KwExiQiSWRvSzcDQxGWBTCidNgcJW4iIkCciZtz7o/Oub8DzgP2A4+Y2dNm9j4zy0lkgCISrE2NHQAnproKQt2UQkKmxE1EJO6uTzObCrwX+ADwAvAtvETukYREJiJJYfPBDnKzQsyrKg4shtzsEFMKc9mrxE1EMlx2PBuZ2f3AWcDdwJudc83+qp+Z2fpEBSciwdvU2M7M8nyyQhZoHJXFeexX4iYiGS6uxA34gXPuoegFZpbnnOt3zq1MQFwikgQGwxG2NHVy/pyKoEOhsjiXFxracc5hFmwSKSISlHi7Sr80wrJnJjIQEUk+uw530z8Uoaa8IOhQmFqcx/GBMEe6dD03EclcY7a4mVk1UAMUmNkrgOF/c0uBwgTHJiIB23ywHYCaKV7iFjuH6WQYfs7K4jwA9rb0ML00f9LjEBFJBuN1lV6JNyChFvhG1PIu4DMJiklEksSmxg5K8rOZWpQbdChUFnsx7Gvt4VXzpwYcjYhIMMZM3JxzPwZ+bGZ/7Zz75STFJCJJYlNjB8tryzCzQFrbopUW5JCXHWJ/mwYoiEjmGq+r9N3OuZ8Ac8zsX2PXO+e+MUIxEUkD/UNhth/q5P0Xzws6FABCZsyZWsTeFiVuIpK5xhucUOT/LQZKRriJSJracaiLwbBjeYAX3o01t7KIfa3dQDDn24mIBG28rtL/8f/+++SEIyLJYnjGhOW1ZTy+szXgaDxzq4p4dPthhsKRoEMREQlEvJPMf9XMSs0sx8weNbNWM3t3ooMTkeBsamynoig3KS4FMmxuZRGDYUdTe1/QoYiIBCLe67hd4ZzrBN4ENAKLgE8kLCoRCdymxg6W1ZQl1cVu5/mTze/xu0tFRDJNvInb8ETy1wD3OOeOJigeEUkCA0MRdh3pDnRi+ZHM9RM3DVAQkUwVb+L2oJltB1YCj5pZFaC+CpE01dzRSzjiWFZbHnQoJ6koyqW8MIe9LWpxE5HMFFfi5py7GXgVsNI5Nwj0AKsSGZiIBOdgey8Ay2qSq8XNzJhXWcQeJW4ikqHinWQe4Gy867lFl7lrguMRkSTQ3N5HZXEe1WXJN7XUvKpiHt/ZEnQYIiKBiCtxM7O7gfnABiDsL3YocRNJS00dvSyZWRp0GC+zek0986qK+MVzjfQNhscvICKSZuJtcVsJLHHOuUQGIyLBG4pEONLZz1tfURN0KCOaX1UMQGt3f8CRiIhMvngTtxeBaqA5gbGISBI40tlP2DmWzJi4FreJnOVgfpU3srSlS4mbiGSeeBO3SmCrma0FTnxbOufekpCoRCQwzR3egPGlSdhVCjCrooiskNGiFjcRyUDxJm6fT2QQIpI8mjp6yc0K8fSeNub53ZLJJDc7xKyKQlrV4iYiGSiuxM0595iZzQYWOuf+aGaFQFZiQxORIDS391Fdlk8oiWZMiDWvsogtTZ1BhyEiMuninav0H4FfAP/jL6oBfp2gmEQkIJGIo7mjlxlJeBmQaPOqimjt7icc0XgpEcks8c6c8GHgNUAngHNuFzAtUUGJSDAaj/XSPxRhZlnyTCw/knlVxQxFHE3+hYJFRDJFvIlbv3NuYPiBfxFe/asrkma2NHUAMKM8eVvcVq+pPzFXqWZQEJFME2/i9piZfQYoMLM3AD8HHkxcWCIShK3NnYQMppcmb+IGUFWSB8AeTTYvIhkm3sTtZqAF2Az8E/AQ8H8SFZSITL7Va+rZ0tRJVUkeOVnxfjUEoyg3i/yckCabF5GME++o0oiZ/Rr4tXNOkwSKpKmtTZ3MSPLz28CbbL6qOE9dpSKSccb8t9o8nzezVmA7sMPMWszsc/Hs3MyuMrMdZrbbzG4eZf+3+us3mdl545U1sy/6224wsz+Y2cz4qysio+nuH+JQZx8zk3xE6bCqknx2H1FXqYhklvH6Q/4ZbzTp+c65qc65CuBC4DVm9i9jFTSzLOA7wNXAEuA6M1sSs9nVwEL/dgNwWxxlv+acW+6cWwH8FogriRSRsTV3eCM0Z5Qnf4sbwLSSPFq7+2k/PjD+xiIiaWK8xO164Drn3L7hBc65vcC7/XVjuQDY7Zzb649IvRdYFbPNKuAu53kWKDezGWOVdc5FX3WzCI1uFZkQze3eVFfJfg23YdNKvQEKu4+ou1REMsd4iVuOc641dqF/nlvOOGVrgIaox43+sni2GbOsmX3ZzBqAv2OUFjczu8HM1pvZ+pYWnZYnMp6mjl5qygsozI13JrxgTSvxEsxdStxEJIOMl7iN1QcxXv/ESPPlxLaOjbbNmGWdc591ztUBPwVuGunJnXPfc86tdM6trKqqGidUEWnu6OPsGSdPLL96TT2r19QHFNHYygtzyM8JseuwEjcRyRzj/Wt9rpmNNCGgAeP1pzQCdVGPa4GmOLfJjaMswGrgf4F/GycWERlD70CY1q5+ls4sHX/jJBEyY8G0YnYd6Qo6FBGRSTNmi5tzLss5VzrCrcQ5N15X6TpgoZnNNbNc4FrggZhtHgCu90eXXgR0OOeaxyprZgujyr8Fb7SriJyB7Yc6ccCSFErcABZOK9E5biKSURJ2lU3n3BBeN+bDwDbgPufcFjO70cxu9Dd7CNgL7Aa+D3xorLJ+mVvM7EUz2wRcAXwsUXUQyRRbmryG9VRqcQNYOL2Y5o4+OvsGgw5FRGRSJPQsZOfcQ3jJWfSy26PuO7wJ7OMq6y//6wkOUyTjbW3upCAni5oUuRTIsIXTSgBvZOl5s6YEHI2ISOIl97w2IjIptjR1MqMsH7ORxgUlr4XTigH4yTMHAo5ERGRyKHETyXBD4QjbmztT5vpt0eoqCsnNDnGkqz/oUEREJoUSN5EMt6+1h/6hCDPLC5L20h+jyQoZ86uKOdLVF3QoIiKTQombSIbb2uwNTEiFyeVHsnBasVrcRCRjKHETyVDDrWtbmjrJzQpRVZIXcESnZ+G0YtqPD9LTPxR0KCIiCafETSTDbWnqYHF1CVmh1BqYMGzhdG+Awp4WXc9NRNKfEjeRDOacY0tTJ+fUpNb126It8C8JslNTX4lIBlDiJpLBDrb30n58kCUzy4IO5bTNmVpIdsjYcWik2flERNKLEjeRDJaqMyZEy84KMa0kj+2HNGepiKQ/JW4iGWxLUychg7OrUzdxA6guy1fiJiIZIaFTXolIcttysIP5VcUU5GYFHcppGR4ZO700n+fr22nr7mdqcWqOjhURiYda3EQy2JamzpTuJh1W7c/6sEOtbiKS5pS4iWSo7v4hDnX2cU5N6g5MGFZd6iVu6i4VkXSnxE0kQzW19wKwJA1a3IrzsinKzTrR4pZqU3eJiMRLiZtIhmr2E7elM1K/xc3MmF6Wz3ZdEkRE0pwSN5EMdbCjj7qKAsoKc4IOZUJUl+az83A34YgLOhQRkYRR4iaSoZrbe9OitW1YdWk+vYNh6o8eDzoUEZGEUeImkoG6+gZp6xlIixGlw14aWaruUhFJX0rcRDLQVn/GhHQYUTpsWkk+ZrCtWSNLRSR96QK8IhloeKqrHYe7aO7oCziaiZGbHWLO1CJ2HOpiun95EBGRdKMWN5EMtKWpk+K8bErz02NgwrCzqks0slRE0poSN5EMtKWpg5nl6dcqdVZ1KQeOHqd/KBx0KCIiCaHETSTD9A2G2XWkm5llBUGHMuGWzCzFOTicJt2/IiKxlLiJZJidh7sIRxwzytMzcQNoUuImImlKiZtIhnnxoHcOWE0aJm4zy/IpL8xJmwEXIiKxlLiJZJgtTR2U5GczJU1mTIhmZiyZUUpzR2/QoYiIJIQSN5EM82JTJ0tmlGJmQYeSEEtmlHKoo4+hcCToUEREJpwSN5EMMhSOsL25M60uvBtrycxShiKOfa09QYciIjLhlLiJZJC9rT30D0XSaqqrWMMDFLY263puIpJ+lLiJZJAXD3YAsHRm+ra4za8qJitkJ6b1EhFJJ0rcRDLIlqZO8rJDzK8qCjqUhMnJCjG9NE8tbiKSljRXqUgG2dzYwbSSPO5b3xh0KAmxek09ADPKCtja1IlzLm0HYYhIZlKLm0iGGApHeKHhGLUVhUGHknAzyvJp6xngSFd/0KGIiEwoJW4iGWLXkW4Gw466Kel34d1YM/zpvHSem4ikGyVuIhliY0M7ALVTMqPFDbyLDcNLXagiIqlOiZtIhtjY2E5+ToipRblBh5Jw+TlZzJlayBa1uIlImlHiJpIhNjZ0UDelMGNO1l9aU8Zm//InIiLpQombSAboHQiz43AXtRlwftuwc2aW0Xisl/bjA0GHIiIyYZS4iWSALU0dhCMuI85vG7bMn9ZL3aUikk4SmriZ2VVmtsPMdpvZzSOsNzO71V+/yczOG6+smX3NzLb72//KzMoTWQeRVDZ8Uv6GEwMTMqfFbXhaL3WXikg6SVjiZmZZwHeAq4ElwHVmtiRms6uBhf7tBuC2OMo+ApzjnFsO7AQ+nag6iKSLjY0d1JQXUJKfE3Qok2ZKUS415QUnpvkSEUkHiWxxuwDY7Zzb65wbAO4FVsVsswq4y3meBcrNbMZYZZ1zf3DODfnlnwVqE1gHkbSwsaGdc+vSd37S0SyrKVNXqYiklUQmbjVAQ9TjRn9ZPNvEUxbgH4DfnXGkImnsaM8A9UePc25tedChTLpzakrZ19pD32A46FBERCZEIhO3ka454OLcZtyyZvZZYAj46YhPbnaDma03s/UtLS1xhCuSnp4/cAyAFXXlwQYSgKX+AIWmjt6AIxERmRiJTNwagbqox7VAU5zbjFnWzN4DvAn4O+dcbDIIgHPue865lc65lVVVVaddCZFUt+7AUXKzQpybgYnbOTP9xK29L+BIREQmRiITt3XAQjOba2a5wLXAAzHbPABc748uvQjocM41j1XWzK4CPgW8xTl3PIHxi6SF9fuPsay2jPycrKBDmXRVJXlUl+bT1K4WNxFJDwlL3PwBBDcBDwPbgPucc1vM7EYzu9Hf7CFgL7Ab+D7wobHK+mW+DZQAj5jZBjO7PVF1EEl1g+EImxrbWTlnStChTLrhS6GcU1PKQSVuIpImshO5c+fcQ3jJWfSy26PuO+DD8Zb1ly+Y4DBF0lbjsV4Gw47j/eGMnWj9nJoyHt12hJ7+IYryEvqVJyKScJo5QSSNHWjrAWD21MyZMSHWubXlOND13EQkLShxE0lj+9t6WDS9mMLczG1pWl7rDVDY2NgOkLEtjyKSHpS4iaSpcMRxoO04K+dUBB1KoKYW5zGlMIeNDWpxE5HUp8RNJE1tP9RJ/1CE8zNwYEKs2imFJ+ZrFRFJZUrcRNLU+v3ehXfPz/AWN4C6KQUcbO+lpas/6FBERM5I5p74IpLm1u4/SllBDjXlBUGHEpjh89lqp3iDMzb557mJiKQqtbiJpKFIxPHsnjbmTC3EbKQZ5DLLzPICskLGRnWXikiKU+Imkoa2H+qirWeABdNKgg4lKeRmh1g0vYQNjRqgICKpTYmbSBp6cncLAAumFQccSfJYUVfGxoZ2RpneWEQkJShxE0lDT+5uY8G0YsoKcoIOJWmcW1tOR+8gR3sGgg5FROS0KXETSTN9g2HW7mvj4gWVQYeSVM6tKweg4ZjmLRWR1KXETSTNPH/gGH2DESVuMRZOK6YgJ4uGo8eDDkVE5LQpcRNJM0/ubiU7ZFw0f2rQoSSV7KwQK+rKqVfiJiIpTImbSJp5cncrr5hVTnGed5lGzc35kpVzptDU3kt3/1DQoYiInBYlbiJpYvWaen7w+F42H+zg4gVVQYeTlFbOqcABG+rbgw5FROS0KHETSSO7WrpxDi5eqG7SkZw3qxwD1h84GnQoIiKnRVNeiaSRrU2dVBbnsa25ix2HuoMOJ+mU5OdQXZZ/Yh5XEZFUoxY3kTQxGI6w41AXVyydTkjTXI1q9tRCnq8/xlA4EnQoIiKnTImbSJrYfaSbgXCEq5ZWBx1KUps9tYjjA2G2H+oKOhQRkVOmxE0kTWxp6iQ/J8RF83R+21hmVxQCsG6/znMTkdSjxE0kDQyFI2xr7uSs6lJys/WxHkt5YS415QU6z01EUpIGJ4ikgbX7jtI7GGbpzNKgQ0la0dezWzlnCs/sacM5h+l8QBFJIfrXXCQN/H7LIXKyjIXTSoIOJSWsnFPBka5+zaIgIilHiZtIirvrmf08tLmZRdNLyM0OaaaEOLxqXgUAT+9pCzgSEZFTo8RNJMVtbeqktXuAlbMrgg4lZcyvKmZaSR5P7W4NOhQRkVOixE0kxa3Zd5S6igIWTi8OOpSUYWa8ZkElz+xpIxJxQYcjIhI3JW4iKSa6K3TX4S72tfbwrgtm66K7p+jV86fS1jPAN/+4M+hQRETipsRNJIX9dE09WSHjnStrgw4l5bxmQSUAe1p6Ao5ERCR+StxEUtTxgSF++Vwjy2rKmFqcF3Q4KWdmeQFzK4vYc0RzuopI6lDiJpKifvFcI139Q1w4V4MSTtVwd/Or509lX1sPg5q3VERShBI3kRTUOxDm23/azflzpjDLn8JJTs3qNfVEHAwMRdjU2B50OCIicVHiJpKC7nx6P0e6+vnkVWfpyv9nYH5lEQY8tVvXcxOR1KDETSTF9A6Euf2xPbxucRXnz1E36ZkozMtmRnk+j+9sCToUEZG4KHETSTFP7Gqho3eQj1+5+MQyzZZw+s6qLuX5+mMc7RkIOhQRkXEpcRNJIc0dvTy1p5U3nzuTpTPLgg4nLZxVXULEwZ+3Hwk6FBGRcWUHHYCIxO8rv9uOc/DJKxerlW2CzCwvYFpJHo9uP8xfv1LXwxOR5KYWN5EU8dyBY/x6QxMXL6ikTiNJJ0zIjMvOnsbjO1sZGNJlQUQkuSlxE0kBkYjjY/e+QEl+Npcsrgo6nLRz2VnT6e4fYs0+jS4VkeSmxE0kBfzqhYM0HuvlyqXV5GVnBR1O2nnNgkryskM8uk3nuYlIclPiJpLEVq+p586n9vO1h3dQU17AirryoENKS7964SBzK4v447bDOOeCDkdEZFQJTdzM7Coz22Fmu83s5hHWm5nd6q/fZGbnjVfWzN5hZlvMLGJmKxMZv0gyeHpPK4c6+7hm2QxCuthuwpxVXUrjsV62H+oKOhQRkVElLHEzsyzgO8DVwBLgOjNbErPZ1cBC/3YDcFscZV8E3g48nqjYRZJFd/8Qj+1s4ewZpcytLAo6nLS2ZGYpWSHj1xsOBh2KiMioEtnidgGw2zm31zk3ANwLrIrZZhVwl/M8C5Sb2YyxyjrntjnndiQwbpGk8ei2wwyGI1y1tDroUNJecV42lyyq4jcvNBGOqLtURJJTIhO3GqAh6nGjvyyebeIpOyYzu8HM1pvZ+pYWTWcjqWf3kW7W7T/K+XMqqCrJCzqcjPC2V9RwqLOPZ/dqdKmIJKdEJm4jnYwT+2/saNvEU3ZMzrnvOedWOudWVlXp8gmSer7y++3kZIW47OzpL1uni+8mxtGeAUrysrn/eXWXikhySmTi1gjURT2uBZri3CaesiJpIzYRW7O3jUe2HuaSRVUU52mCk8mSkxViUXUJv3+xmd6BcNDhiIi8TCITt3XAQjOba2a5wLXAAzHbPABc748uvQjocM41x1lWJC1FIo7/eGgbpfnZvHp+ZdDhZJxXzCqnZyDMH7YeUsumiCSdhCVuzrkh4CbgYWAbcJ9zbouZ3WhmN/qbPQTsBXYD3wc+NFZZADN7m5k1Aq8C/tfMHk5UHUSC8OCmJjY2dnDFkmpys3Wpxck2Z2oRNeUF/OK5xqBDERF5mYT2wTjnHsJLzqKX3R513wEfjresv/xXwK8mNlKR5DAYjvCNR3ZyVnUJK2aVBx1ORgqZce35dXz9kZ2cN2tK0OGIiJxE/86LJInVa+r5xXONHGg7zsevWKyL7Qbo3RfNJj8nxJO7W4MORUTkJErcRJLEYDjCrY/uYkVdOZedPS3ocDLalKJc3vHKOjY0tHOkqy/ocERETlDiJpIk1u0/SnNHHx+/YjGm1rbAvf/iuUQijruePhB0KCIiJyhxE0kCA0MR/rKjhbmVRRxo6wk6HAHmVBZx9oxSfrLmAMcHhoIOR0QEUOImkhSe2dtGd/8QVyyZjpnpMhRJ4rULK2k/PqjXQ0SShq7sKRKwzr5BHt/ZwuLpJcyeqonkk8FwojZ7ahEXL6jku3/Zw7UXzNLFkEUkcGpxEwnYD5/YR+9gmMuXvHxqKwneJ65czNGeAX74xD61vIlI4JS4iQToWM8AP3xyH0tnllJTXhB0ODKCc+vKuXLpdL7/xF56+nWum4gES4mbSIBuf2wPPQNDXD7CRPKSHFavqefjVyymZ2CIx3a2BB2OiGQ4JW4iAWnu6OXOp/fzthU1TC/NDzocGcPC6SW8/RW1PLu3jfq240GHIyIZTImbSED++5FdOAf/8oZFQYci41i9pp4F04oxg/94aFvQ4YhIBlPiJhKAXYe7+PlzDfz9q2ZTV1EYdDgSh7KCHC5ZVMXvtxzimT1tQYcjIhlKiZvIBFi9pv6URhx+7eEdFOVm8+HXLUhgVDLRXruwipryAr7w262EIy7ocEQkAylxE5lkT+xq4Q9bD/NPl8yjoig36HDkFORkhfj0NWexrbmTn67RVFgiMvmUuIlMotbufv71vo0smFZMcV5O0OHIaXjjshlcvKCSr/xuOwfbe4MOR0QyjBI3kUnyk2cP8PGfb+RYzwBXn1NNbrY+fqnonrUNXDRvKg74zP2bcU5dpiIyefTLITKBRjvPzTnH4ztb+MuOFq4+p5oZZbrYbiqrKMrl9WdN47GdLdz//MGgwxGRDKLETSTBOnoH+cg9L/CHrYe5+pxqLpo3NeiQZAJcNG8qsysK+fyDW9jX2hN0OCKSITRjssgE6+ob5GB7L3c8uZ/ywhx+u7GJw139XLFkOt9+13n8bF3DiW0192XqCpnxjpV13PHUPt7/43X86kOvoaxA5y2KSGIpcRM5Q6vX1NN+fIDHdrawqbGDz/xq84l1udkhltWU8d13v5KtTZ1khSzASGWiVRTl8tfn1XLHk/u4afXz/Oi955OdpY4MEUkcJW4iZ2AwHOF/NzXx7N6jACyrLeOqc6qpKS9g5+EuPnrZQnL8H/KtTZ1qYUtDcyuLWLViJve/cJB/uW8j//WO5eRlZ7F6TT3vunBW0OGJSJpR4iZymvoGw3zop8/z1J42Vs6ewuvOmsaUwtwTP9ar19SfSNokva2cU8HxgTAPbmziSGcf3/v7lUGHJCJpSr8qIqehq2+Q6+9Yy5+3H2HVipm8/bxaphTqYrqZ7K8WVfGta1fwfP0x3nbbUzR3vHSNN7W0ishEUeImcop6B8L8w53reP7AMd55fh0Xzh19lKh+sDPLqhU13P3+C+nqG+K7f97DbX/Zo6mxRGRCqatUJA7D5ysNhiPctPp51h84xrevO4+O3sERt5XMtbelhxteO49fbzjIV36/nT9tP8wli6YFHZaIpAklbiJxikQcN/9yM49uP8IX33oOb1w+I64kTYlc5inKy+ZdF8yiIDeLf/vNFjY2dlBVkss7V9ZhppHFInL61FUqEoeIc/yf37zIL59v5F8uX8TfXzQ76JAkCUUn6WZG32CEGy+dT015AZ/65Wau/tYT/M9je5TMi8hpU4ubyDicczy4sYk1+47ywUvn89HLFuiHV+I2pTCX9188l77BMLf8bju3PrqLt72iNuiwRCRFKXETGcNgOMLnfvMia/Yd5bULK6ktL+CetQ3jFxSJEjLjA6+dR2ffED9f38BP1hxgIBzm/75pCSX5mm1BROKnrlKRUXT0DvK+H63jnrUNXLqoiquWVuv8JDkj1aX5fPDS+VyyqIpfPNfI1d96grX7jqoFV0TipsRNJMbqNfW8eLCDt3/3Kdbsa+Nrf7OcK5S0yQTJDoW4cmk19/3TqwiZ8bffe4bfv9hM/1A46NBEJAUocROJ0j8U5g9bD7HqO09xpLOf97x6DoNhXYdLzlxsq9rKORX87mOv5drz63h8VytvvPVJ/rzjSEDRiUiq0DluIsDAUIT7n2/kO3/ZTcPRXv7mlbWcXV1KQW5W0KFJmhpO5P7z7cvJyQrx203NvO9H61g4rZhvvHMFy2rLAo5QRJKREjfJaAfbe7n/uUbuXdfAwfZezq0t4/Kzp/Nvb16q845k0pxVXcqCqmKe3dvGn3Yc4c3ffpJLFlVx4yXzuWhehbrpReQEJW6SUZxzHGg7zh+3HeaP2w6zZt9RnINXzZvKG5ZMZ+G0Yv1IyqQa/gchOyvExQurWDmngt7BMN/9826u29nC7KmF/PV5tVyxdDqLp5dwz9oG3nXhrICjFpGgKHGTlDD84xbPD1b0tj9+ej9N7b1UFufxfP0xnq8/xuHOfgCmleTxusXTOG/WFCqKNEG8JIf8nCz+4eK5FOVms6Wpg4PtvXzjkZ1845GdVJXkMaMsn77BMOfWlbF0Zhn5OerOF8kk5lz6n3i9cuVKt379+qDDkDMwUuI2PH+oc46egTBN7b3sOtzN/S80cqSzn8FwhF2Huwn77/G6igKmFOYye2oRi6eXKFmTlPG6s6p4YlcrP332APtae+jsGwIgZF43a1FeFrVTCvnH185j0fRisrM07kwklZnZc865lSOuU+ImqeBHT+3jYHsvsysK2X2km8Zjvew43IVz0NbTT99g5MS2BkwpymVFXTlDYcesigLqKgp1oVNJG5edPY2NDe2sXlvPwWO9NB7rpXfQu5xIfk6IpTPLWF5bxlnVJSycXsLCacU8uLFZXawiKUKJmxK3lHOks4/1B46xbv9RnjtwjBcPdhDx36p52SEqinIpzss+cSvKy+bqZdXsOtxNZXEeudkh3nXhLA0wkIzgnONozwCNx3opystmU2M7LzZ1nPQPTXlBDitmlbN4egmLq73b/KpidbWKJKHAEjczuwr4FpAF/MA5d0vMevPXXwMcB97rnHt+rLJmVgH8DJgD7Afe6Zw7NlYcStySi3OO3sEwRzr7ae7o41BnL03tfTy+s4WW7n46ewdp7R4AICfLeOXsKeTnZDG7opDqsgJK87M1gEBkFMOtauGI47t/3s2Rrn4Od/ZxuLOPI139tHUPMBD2ErqskDF7aiE15QVUleTR2tVPSX4OxfnZvO0VNVSV5FFdmk9Rnk6HFplMgSRuZpYF7ATeADQC64DrnHNbo7a5BvgIXuJ2IfAt59yFY5U1s68CR51zt5jZzcAU59ynxopFiVtiRCKOrr4hjh0fOHF7aPMhjg+EmVdZRHvvAB29Q3T2DtLRO0jjseP0DoQZCEdGvKhtfk6IyuI8Xj1/KourS3nl7ClsbuwgK6QkTWSivGNlLQfaevjBE/v8hK6fnOwQrV39HOroO3FOaLSKolxmVRS+dJv60v3q0nxC+oyKTKixErdE/ht1AbDbObfXD+JeYBWwNWqbVcBdzssenzWzcjObgdeaNlrZVcClfvkfA38Bxkzckolzjojz/jog4hzD35PD909a7vz7ftmwvzwccUScIxLx1nvLHeFI1Dr/ucIRb91QxDEYjjAwFPH+hh2DQxEGwhGe3tNGOOJYVlMWs433t28wQvvxAY4dH+TY8QHajw9yrGeA0dL+kEFZQQ4hMwpys8jPyWJGWQEFOVknHpfkZ1NWkENZfg6lBTnkZp98QvXWpk4lbSIT7OfrGwFYXlv+snXOOXoHwnT1D9HVN0RX3yCdvYNUFOexdl8bT+xqoaN38MRpCwC5WSFqKwqonVJIeUEOJfnZ5GVnEfG/2Ia/y8LO+74Z/l4ZGHI0HjvO3Moi8rJD5GVnkZcTIi875H9PZFOY631fFPq3gpxscrNf/p0wUvuDGWSFQmSHjOwsIzvqfk5WiNhGe8NOKnvyuuj92hjrRt8nsetGX3XSc7x83Sj7H+H5T6fcaceiXpBJk8jErQZoiHrciNeqNt42NeOUne6cawZwzjWb2bSJDPp03PXMfm753XZcVJIVm3BFUuRUwoc2NwNe4pUVMrJCRlFuNnnZIRz4X6LZVBXn+V+m2Se+VF+6n01eToiQPsgiKcXMKMzLpjAvm+mlJ69bVuPN5BCOODp6BznaM+Df+jnaM8CeI93kZBlHuvoZijiG/+cyDDNv39n+d0pWyLtvwHMHjjEUcQyFI/5fd6IrV9LDpCTC8ZaLMhSJkB16qcEg3p+sb7zzXK46Z0Z8GydAIhO3kQ5BbPoy2jbxlB37yc1uAG7wH3ab2Y5TKZ9glUBr0EEERHXPTKp7ZsrkukNm1z9t6371F8fdZCLqPnu0FYlM3BqBuqjHtUBTnNvkjlH2sJnN8FvbZgAjzsrsnPse8L3TDz9xzGz9aH3X6U51V90zjeqemXWHzK6/6p64uifyKo3rgIVmNtfMcoFrgQditnkAuN48FwEdfjfoWGUfAN7j338P8JsE1kFEREQkaSSsxc05N2RmNwEP413S4w7n3BYzu9FffzvwEN6I0t14lwN531hl/V3fAtxnZu8H6oF3JKoOIiIiIskkoRfncc49hJecRS+7Peq+Az4cb1l/eRtw2cRGOumSsgt3kqjumUl1z0yZXHfI7Pqr7gmSETMniIiIiKQDzUQsIiIikiKUuE0CM/uIme0wsy3+zA/Dyz9tZrv9dVdGLX+lmW32191qKX5lQzP7uJk5M6uMWpbWdTezr5nZdjPbZGa/MrPyqHVpXfdYZnaVX9fd/mwnacXM6szsz2a2zf+Mf8xfXmFmj5jZLv/vlKgyI74HUpGZZZnZC2b2W/9xRtQbwL9o/C/8z/o2M3tVptTfzP7Ff7+/aGb3mFl+utbdzO4wsyNm9mLUslOu64R9xzv/ivu6JeYGvA74I5DnP57m/10CbATygLnAHiDLX7cWeBXe9ex+B1wddD3OoP51eINMDgCVmVJ34Aog27//FeArmVL3mOOQ5ddxHt5lfjYCS4KOa4LrOAM4z79fgjdd3xLgq8DN/vKb43kPpOIN+FdgNfBb/3FG1Nuv04+BD/j3c4HyTKg/3kXy9wEF/uP7gPema92BvwLOA16MWnbKdZ2o73i1uCXeB4FbnHP9AM654evOrQLudc71O+f24Y2svcC8a9OVOueecd4rfRfw1gDinijfBD7JyRdQTvu6O+f+4Jwb8h8+i3ctQsiAusc4MfWdc24AGJ6+Lm0455qdc8/797uAbXg/bKvwftjx/77Vvz/ie2BSg54gZlYLvBH4QdTitK83gJmV4v2g/xDAOTfgnGsnQ+qPN7ixwMyygUK8a62mZd2dc48DR2MWn1JdJ/I7Xolb4i0CXmtma8zsMTM7318+1nRfjSMsTzlm9hbgoHNuY8yqtK97jH/A++8KMq/uo9U3LZnZHOAVwBpipucDhqfnS6dj8t94/5hFz1GVCfUGrxW5BfiR31X8AzMrIgPq75w7CPwX3iW5mvGuwfoHMqDuUU61rhP2HZ/Qy4FkCjP7I1A9wqrP4h3jKcBFwPl416CbRwKn+5pM49T9M3hdhi8rNsKytKq7c+43/jafBYaAnw4XG2H7lKv7KUjXer2MmRUDvwT+2TnXOcbpK2lxTMzsTcAR59xzZnZpPEVGWJZy9Y6Sjdd99hHn3Boz+xZel9lo0qb+/vlcq/C6AtuBn5vZu8cqMsKylKx7HBL+Ha/EbQI45y4fbZ2ZfRC4328aXWtmEbx5zEab7quRl7rVopcnpdHqbmbL8D7UG/0fsFrgeTO7gDSv+zAzew/wJuAy//WHNKn7KYhn6ruUZ2Y5eEnbT51z9/uLR5ueL12OyWuAt5jZNUA+UGpmPyH96z2sEWh0zq3xH/8CL3HLhPpfDuxzzrUAmNn9wKvJjLoPO9W6Tth3vLpKE+/XwOsBzGwR3gmsrXhTd11rZnlmNhdYCKz1m1y7zOwif8TJ9aTgtF7Ouc3OuWnOuTnOuTl4b9rznHOHSPO6gzeSEvgU8Bbn3PGoVWlf9xjxTH2X0vzX64fANufcN6JWjTY934jvgcmKd6I45z7tnKv1P9/XAn9yzr2bNK/3MP+7rMHMFvuLLgO2khn1rwcuMrNC//1/Gd65nZlQ92GnVNcJ/Y5PxAgM3U4ajZIL/AR4EXgeeH3Uus/ijTjZQdToEmClv/0e4Nv4F0pO5RuwH39UaSbUHe+E1AZgg3+7PVPqPsKxuAZvpOUevG7kwGOa4PpdjNflsSnq9b4GmAo8Cuzy/1aM9x5I1RtwKS+NKs2keq8A1vuv/a/xTovJiPoD/w5s97+z7sYbRZmWdQfuwTuXbxCvEeL9p1PXifqO18wJIiIiIilCXaUiIiIiKUKJm4iIiEiKUOImIiIikiKUuImIiIikCCVuIiIiIilCiZuIiIhIilDiJiIiIpIilLiJiIiIpIj/HwnBKgTTJ8yDAAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
+       "<Figure size 720x432 with 0 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -1543,9 +1698,9 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
-       "<Figure size 720x432 with 1 Axes>"
+       "<Figure size 720x2880 with 22 Axes>"
       ]
      },
      "metadata": {
@@ -1555,7 +1710,7 @@
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 720x432 with 1 Axes>"
       ]
@@ -1567,12 +1722,15 @@
     }
    ],
    "source": [
-    "current_rating = codechef_rank\n",
+    "current_rating = pd.DataFrame(codechef_rank)\n",
+    "current_rating = filter_users(current_rating)\n",
     "current_rating.sort_values(['ratings'], ascending=False, inplace=True)\n",
+    "\n",
     "rate_cur = defaultdict(lambda: default_rating)\n",
     "rate_cur.update(dict(zip(current_rating.username, current_rating.ratings)))\n",
     "\n",
-    "plot_distribution(current_rating, f'Rating on contest {sid}')\n",
+    "plt.figure()\n",
+    "plot_distribution(current_rating, f'Rating on contest {contest} -- Contest {contest_id}')\n",
     "\n",
     "# Min number of contests a user needs to do before being counted in our metrics\n",
     "min_experience_level = 3\n",
@@ -1581,12 +1739,19 @@
     "# Makes the mean rating shift small for most users\n",
     "rating_shift = 0 \n",
     "\n",
-    "cc_to_mmr_dir = f'{root_dir}/elommr-checkpoints/start-from-146'\n",
-    "for contest in tqdm(checkpoint_contests[sid+1:]):    \n",
+    "fig = plt.figure(figsize=(6, 24), dpi=120)\n",
+    "cnt = 1\n",
+    "cc_to_mmr_dir = f'{root_dir}/elommr-checkpoints/start-from-516'\n",
+    "gap_per_checkpoint = []\n",
+    "for contest in tqdm(checkpoint_contests[sid+1:]):\n",
+    "    if ranks['time_seconds'] >= name_to_time['START25B']:\n",
+    "        default_rating = 1000\n",
+    "        \n",
     "    next_rating = pd.read_csv(f'{cc_to_mmr_dir}/{contest}.csv')\n",
     "    # Translate handle ids to actual usernames\n",
     "    next_rating['username'] = next_rating.handle.apply(lambda x: user_map[x])\n",
     "    next_rating['ratings'] = next_rating.cur_mu + rating_shift\n",
+    "    next_rating = filter_users(next_rating)\n",
     "    rate_next = defaultdict(lambda: default_rating)\n",
     "    rate_next.update(dict(zip(next_rating.username, next_rating.ratings)))\n",
     "    \n",
@@ -1596,22 +1761,75 @@
     "    ]\n",
     "    max_rating_change, min_rating_change = np.max(rating_changes), np.min(rating_changes)\n",
     "    med_rating_change, mean_rating_change = np.median(rating_changes), np.mean(rating_changes)\n",
-    "    print(contest, min_rating_change, max_rating_change, med_rating_change, mean_rating_change)\n",
+    "    # print(contest, min_rating_change, max_rating_change, med_rating_change, mean_rating_change)\n",
     "    \n",
+    "    # Compute average rating gap between stationary distribution and current rating distribution\n",
+    "    ntot, gap = 0, 0\n",
+    "    for user in filtered_users:\n",
+    "        if user in rate_next and user in rate_name_mmr:\n",
+    "            gap += abs(rate_next[user] - rate_name_mmr[user])\n",
+    "            ntot += 1\n",
+    "    gap_per_checkpoint.append(gap / ntot)\n",
+    "        \n",
     "    current_rating, rate_cur = next_rating, rate_next        \n",
     "    \n",
-    "    plt.figure()\n",
+    "    plt.subplot(11, 2, cnt)\n",
     "    data = pd.DataFrame(data={'data': rating_changes})\n",
     "    ax = sns.distplot(data, bins=350)\n",
-    "    ax.set_title(\"Rating difference between current and previous round\")\n",
-    "    plot_distribution(next_rating, 'Elo-MMR Ratings')\n",
-    "    "
+    "    ax.get_yaxis().set_visible(False)\n",
+    "    if cnt == 1:\n",
+    "        ax.set_title(\"Rating diff. btwn. curr. and prev. rnd.\")\n",
+    "    cnt += 1\n",
+    "    \n",
+    "    ax = plt.subplot(11, 2, cnt)\n",
+    "    if cnt == 2:\n",
+    "        title = 'Elo-MMR Ratings'\n",
+    "    else:\n",
+    "        title = ''\n",
+    "    plot_distribution(next_rating, title, ax, 4)\n",
+    "    ax.get_yaxis().set_visible(False)\n",
+    "    cnt += 1\n",
+    "    \n",
+    "fig.tight_layout()\n",
+    "plt.figure()\n",
+    "plt.plot(list(range(11)), gap_per_checkpoint)\n",
+    "plt.title('Average rating difference between current rating and convergence')\n",
+    "plt.xlabel('Checkpoint #')\n",
+    "plt.ylabel('Average rating gap')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "98185194-b04b-444a-9328-9c8f58907dc5",
+   "metadata": {
+    "tags": []
+   },
+   "source": [
+    "# Switching vs Interpolating"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "93f706aa-ea13-453e-93f4-a8bfc500bf00",
+   "metadata": {},
+   "source": [
+    "**Switching** means that we take the current CodeChef ratings, convert them into a form that Elo-MMR can use (usually this means giving each player a sigma), and use these as an initial state from which to compute all future updates with Elo-MMR.\n",
+    "\n",
+    "**Interpolating** means we run Elo-MMR from the beginning of CodeChef history, and use only Elo-MMR in backend calculations. However, CodeChef will continue to display old ratings, with updates that gradually attract it toward the backend Elo-MMR ratings:\n",
+    "$$\\text{elo_mmr}_{n+1} =  \\text{MMR_UPDATE}(\\text{elo_mmr}_n)$$\n",
+    "$$\\text{cc_rating}_{n+1} = \\text{elo_mmr}_{n+1} + 0.75 * (\\text{cc_rating}_n - \\text{elo_mmr}_n)$$\n",
+    "\n",
+    "To converge to, say, one-tenth of the starting error, a player must compete $\\log(0.1) / \\log(0.75) \\approx 8$ times.\n",
+    "\n",
+    "Both options are possible. We prefer interpolation because it instantly converges the backend ratings, upon which all calculations are based, to Elo-MMR ratings based on CodeChef's long and healthy history. This means visibly faster convergence too: as soon as a player's w is small, their display rating will be as good as if they had been using Elo-MMR all along. On the other hand, the advantage of switching is that display ratings will be closer to what the backend uses, and updates will be purely based on the latest contest rather than due to reweighting; both of these effects make rating updates more predictable to users (albeit at the cost of less predictable long-term and population-wide trends).\n",
+    "\n",
+    "**Our suggested parameters for Elo-MMR**: mmr (slow version) with mu=1600, sigma=325, sigma_limit=75, weight=0.2. If we eventually want live rating predictions, split_ties=true might be preferable. Having a mu of 1600 ensures that most users will either gain points or remain stable as a result of the change. Newcomers are effectively rated 1600 - 3*(325-75) = 850."
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "f26a609e-afa6-46b6-9a22-f93159e54e9e",
+   "id": "b8434328-a00c-465b-a7af-476052d5fbcc",
    "metadata": {},
    "outputs": [],
    "source": []