{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# IPython Notebook\n",
    "\n",
    "This is an IPython Notebook, an online scientific notebook which combines, text, data, images, and programming. It is amazing, and could be a fantastic way to do and communicate advanced LCA work.\n",
    "\n",
    "* [Documentation](http://ipython.org/ipython-doc/dev/interactive/htmlnotebook.html)\n",
    "* [Very long awesomeness](https://www.youtube.com/watch?v=2G5YTlheCbw)\n",
    "* [Sharable awesomeness](http://nbviewer.ipython.org/)\n",
    "* [Just plain amazing awesomeness](http://nbviewer.ipython.org/url/epi.whoi.edu/esr/GIS_GRASS-R_Example.ipynb)\n",
    "* [Gallery of awesomeness](https://github.com/ipython/ipython/wiki/A-gallery-of-interesting-IPython-Notebooks)\n",
    "* [Hacker News discussion](http://news.ycombinator.com/item?id=4909070)\n",
    "\n",
    "You can also download the [ipython file](/examples/new-pedigree-matrix.ipynb) and run it yourself."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pedigree matrix factor calculations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from brightway2 import *\n",
    "from pedigree_matrix import *\n",
    "import numpy as np\n",
    "db = Database(\"ecoinvent 2.2\")\n",
    "ei_data = db.load()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the [pedigree matrix](https://bitbucket.org/cmutel/pedigree-matrix) library for the calculations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sigmas_1_tech, sigmas_1_bio, sigmas_2_tech, sigmas_2_bio = [], [], [], []\n",
    "\n",
    "for ds in ei_data.values():\n",
    "    for exc in ds[\"exchanges\"]:\n",
    "        try:\n",
    "            pm = PedigreeMatrix()\n",
    "            pm.from_string(exc[\"comment\"])\n",
    "            if exc[\"input\"][0] == \"biosphere\":\n",
    "                sigmas_1_bio.append(pm.calculate())\n",
    "                pm.version = 2\n",
    "                sigmas_2_bio.append(pm.calculate())\n",
    "            else:\n",
    "                sigmas_1_tech.append(pm.calculate())\n",
    "                pm.version = 2\n",
    "                sigmas_2_tech.append(pm.calculate())\n",
    "\n",
    "        except:\n",
    "            pass\n",
    "\n",
    "sigmas_1_tech, sigmas_2_tech = np.array(sigmas_1_tech), np.array(sigmas_2_tech)\n",
    "sigmas_1_bio, sigmas_2_bio = np.array(sigmas_1_bio), np.array(sigmas_2_bio)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's learn a little about our results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Technosphere exchanges: 24426. Biosphere exchanges: 28009\n",
      "For technosphere:\n",
      "New version has more uncertainty (percentage)\n",
      "0.855604683534\n",
      "Uncertainty didn't change (percentage)\n",
      "0.0339801850487\n",
      "For biosphere:\n",
      "New version has more uncertainty (percentage)\n",
      "0.893320004284\n",
      "Uncertainty didn't change (percentage)\n",
      "0.0182084330037\n"
     ]
    }
   ],
   "source": [
    "print \"Technosphere exchanges: %s. Biosphere exchanges: %s\" % (sigmas_1_tech.shape[0], sigmas_1_bio.shape[0])\n",
    "print \"For technosphere:\"\n",
    "print \"New version has more uncertainty (percentage)\"\n",
    "print (sigmas_2_tech > sigmas_1_tech).sum() / float(sigmas_1_tech.shape[0])\n",
    "print \"Uncertainty didn't change (percentage)\"\n",
    "print (sigmas_2_tech == sigmas_1_tech).sum() / float(sigmas_1_tech.shape[0])\n",
    "print \"For biosphere:\"\n",
    "print \"New version has more uncertainty (percentage)\"\n",
    "print (sigmas_2_bio > sigmas_1_bio).sum() / float(sigmas_1_bio.shape[0])\n",
    "print \"Uncertainty didn't change (percentage)\"\n",
    "print (sigmas_2_bio == sigmas_1_bio).sum() / float(sigmas_1_bio.shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's transform to square of geometric standard deviation (it sounds, and is crazy, but the kids love it...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sigmas_1_tech, sigmas_2_tech = np.exp(sigmas_1_tech) ** 2, np.exp(sigmas_2_tech) ** 2\n",
    "sigmas_1_bio, sigmas_2_bio = np.exp(sigmas_1_bio) ** 2, np.exp(sigmas_2_bio) ** 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x11a31ec50>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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WWQncEydO1PDhw/XFF1/o008/Ve/evZWZmamEhAQVFxdr6NChyszMlCQVFRVp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\nAQAAABf6fyQQZ7TgQvEFAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf()\n",
    "figure(figsize=(12,9), dpi=600)\n",
    "hist([sigmas_1_tech, sigmas_2_tech], histtype=\"step\", bins=40, label=[\"Version 1\", \"Version 2\"])\n",
    "legend()\n",
    "xlabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$\")\n",
    "ylabel(\"Count\")\n",
    "title(\"Histogram for technosphere exchanges\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x11ab17690>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2a+fOnerQoYN27typyMhIzZ49W++8844kKSMjQ4mJicrKytLixYs1fvx4ud1u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\nVQoLC5O0Z+a6rKzM6VteXi6v1yuPx6P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G92dmZqpz586Ki4tTXFyc5s2b18wdwh2Ki4uV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\nAGAhAjcAAABgof8HE68SrAVmYEgAAAAASUVORK5CYII=\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf()\n",
    "figure(figsize=(12,9), dpi=600)\n",
    "hist([sigmas_1_bio, sigmas_2_bio], histtype=\"step\", bins=40, label=[\"Version 1\", \"Version 2\"])\n",
    "legend()\n",
    "xlabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$\")\n",
    "ylabel(\"Count\")\n",
    "title(\"Histogram for biosphere exchanges\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Histogram for the difference (ratio) in all exchanges (biosphere and technosphere)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "New version has more uncertainty (percentage)\n",
      "0.875750929723\n",
      "Uncertainty didn't change (percentage)\n",
      "0.0255554496043\n"
     ]
    }
   ],
   "source": [
    "all_sigmas_1 = np.hstack((sigmas_1_bio, sigmas_1_tech))\n",
    "all_sigmas_2 = np.hstack((sigmas_2_bio, sigmas_2_tech))\n",
    "print \"New version has more uncertainty (percentage)\"\n",
    "print (all_sigmas_2 > all_sigmas_1).sum() / float(all_sigmas_1.shape[0])\n",
    "print \"Uncertainty didn't change (percentage)\"\n",
    "print (all_sigmas_2 == all_sigmas_1).sum() / float(all_sigmas_1.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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G2oqObn0BAACcAkI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYF\ndXYBQJdSWtrZFQAAAD/ESjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqgbaio1tf\nAAAAp4BQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBQZ1dANCllJZ2dgUAAMAPsVIN\nAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEaqCt6OjWFwAAwCkgVAMAAAAGEaoBAAAA\ngwjVAAAAgEE8UREAuoGtX+3R2x/slMdj3hzWoABNuHSIbIN7mTcJAPgpQjUAdAOPv/CZ3v+8Xi0m\npmproEVf1x3Qr2aONG0OAPBXhGqgrdLSzq4AOC2NB5vVeKBZI84ZqF49A30+/q49B1X7zT41Hmz2\n+dgA0B0QqgGgG4kcPlAD+vf0+bj/qdyj2m/2+XxcAOguuFARAAAAMIhQDQAAABhEqAYAAAAMIlQD\nAAAABhGqgbaio1tfAAAAp4BQDQAAABhEqAYAAAAMIlQDAAAABpkSquvr6zV16lSNHDlSUVFRKikp\nUV1dneLj4xUREaEJEyaovr7ee/zChQsVHh6uyMhIrV271tteVlamUaNGKTw8XJmZmWaUCgAAABhm\nSqjOzMxUYmKiPv30U3300UeKjIxUdna24uPjtXXrVo0fP17Z2dmSpPLycuXn56u8vFxFRUWaPXu2\nPB6PJCkjI0O5ublyuVxyuVwqKioyo1wAAADAEJ+H6t27d+tf//qXbr31VklSUFCQBgwYoMLCQqWl\npUmS0tLStGbNGklSQUGBUlJSZLVa5XQ6NWLECJWUlKi6uloNDQ2KiYmRJKWmpnr7AKYpLW19AQAA\nnIIgXw9YUVGhkJAQ3XLLLfrwww81duxYPfHEE6qtrZXNZpMk2Ww21dbWSpKqqqoUGxvr7e9wOOR2\nu2W1WuVwOLztdrtdbrf7qHPOmzfP+3VcXJzi4uJ8fVoAAAD4HikuLlZxcfFJH+/zUH348GG99957\n+tOf/qRLLrlEd955p3erxxEWi0UWi8Vnc7YN1QAAAIBR312onT9//nGP9/n2D4fDIYfDoUsuuUSS\nNHXqVL333nsKCwtTTU2NJKm6ulqhoaGSWlegd+zY4e1fWVkph8Mhu92uysrKdu12u93X5QIAAACG\n+TxUh4WFadiwYdq6daskad26dTr//PM1ceJE5eXlSZLy8vI0efJkSVJSUpJWrFihpqYmVVRUyOVy\nKSYmRmHoJqDHAAAgAElEQVRhYQoODlZJSYk8Ho+WLVvm7QMAAAB0JT7f/iFJf/zjHzVjxgw1NTXp\n3HPP1bPPPqvm5mYlJycrNzdXTqdTK1eulCRFRUUpOTlZUVFRCgoKUk5OjndrSE5OjtLT09XY2KjE\nxEQlJCSYUS4AAABgiCmh+qKLLtLmzZs7tK9bt+6ox2dlZSkrK6tD+9ixY7Vlyxaf1wccU3R065/c\nAQQAAJwCnqgIAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGm3P0D8Fvc9QMAAJwGVqoB\nAAAAgwjVAAAAgEGEagAAAMAgQjUAAABgEKEaAAAAMIhQDbQVHd36AgAAOAWEagAAAMAgQjUAAABg\nEKEaAAAAMIhQDQAAABhEqAYAAAAMCursAoAupbS0sysAAAB+iJVqAAAAwCBCNQAAAGAQoRoAAAAw\niFANAAAAGESoBgAAAAwiVANtRUe3vgAAAE4BoRoAAAAwiFANAAAAGESoBgAAAAwiVAMAAAAGEaoB\nAAAAg4I6uwCgSykt7ewKAACAH2KlGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNVA\nW9HRrS8AAIBTQKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqAAAAwKCgzi4A6FJKSzu7AgAA\n4IdYqQYAAAAMIlQDAAAABhGqAQAAAIMI1QAAAIBBhGoAAADAIFNCtdPp1IUXXqgxY8YoJiZGklRX\nV6f4+HhFRERowoQJqq+v9x6/cOFChYeHKzIyUmvXrvW2l5WVadSoUQoPD1dmZqYZpQLtRUe3vgAA\nAE6BKaHaYrGouLhY77//vt59911JUnZ2tuLj47V161aNHz9e2dnZkqTy8nLl5+ervLxcRUVFmj17\ntjwejyQpIyNDubm5crlccrlcKioqMqNcAAAAwBDTtn8cCcZHFBYWKi0tTZKUlpamNWvWSJIKCgqU\nkpIiq9Uqp9OpESNGqKSkRNXV1WpoaPCudKempnr7AAAAAF2JKQ9/sVgsuvrqqxUYGKif/vSn+slP\nfqLa2lrZbDZJks1mU21trSSpqqpKsbGx3r4Oh0Nut1tWq1UOh8Pbbrfb5Xa7jzrfvHnzvF/HxcUp\nLi7O9ycFAACA743i4mIVFxef9PGmhOq3335bQ4YM0c6dOxUfH6/IyMh237dYLLJYLD6br22oBgAA\nAIz67kLt/Pnzj3u8Kds/hgwZIkkKCQnRlClT9O6778pms6mmpkaSVF1drdDQUEmtK9A7duzw9q2s\nrJTD4ZDdbldlZWW7drvdbka5AAAAgCE+D9X79+9XQ0ODJGnfvn1au3atRo0apaSkJOXl5UmS8vLy\nNHnyZElSUlKSVqxYoaamJlVUVMjlcikmJkZhYWEKDg5WSUmJPB6Pli1b5u0DmKa0tPUFAABwCny+\n/aO2tlZTpkyRJB0+fFgzZszQhAkTFB0dreTkZOXm5srpdGrlypWSpKioKCUnJysqKkpBQUHKycnx\nbg3JyclRenq6GhsblZiYqISEBF+XCwAAABjm81A9fPhwffDBBx3aBw8erHXr1h21T1ZWlrKysjq0\njx07Vlu2bPF1iQAAAIBP8URFAAAAwCBCNQAAAGAQoRoAAAAwiFANtBUd3foCAAA4BYRqAAAAwCBC\nNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAw6Yaj+97//3aHt7bffNqUYoNOVlra+AAAATsEJQ/Wc\nOXM6tP385z83pRgAAADAHwUd6xubNm3Sxo0btXPnTi1atEgej0eS1NDQoJaWljNWIAAAANDVHTNU\nNzU1qaGhQc3NzWpoaPC2BwcHa9WqVWekOAAAAMAfHDNUX3HFFbriiiuUnp4up9N5BksCAAAA/Msx\nQ/URBw8e1E9+8hNt27ZNhw8fliRZLBb94x//ML04AAAAwB+cMFTfdNNNysjI0O23367AwEBJraEa\n6Jaio1v/5A4gAADgFJwwVFutVmVkZJyJWgAAAAC/dMJb6k2cOFFPPfWUqqurVVdX530BAAAAaHXC\nlernnntOFotFf/jDH9q1V1RUmFYUAAAA4E9OGKq3bdt2BsoAAAAA/NcJQ3VeXt5RL0xMTU01pSAA\nAADA35wwVG/evNkbqhsbG/WPf/xDF198MaEa3RN3/QAAAKfhhKH6T3/6U7u/19fXa9q0aaYVBAAA\nAPibE97947v69OnDRYoAAABAGydcqZ44caL365aWFpWXlys5OdnUogAAAAB/csJQ/atf/UpS61MU\ng4KCdPbZZ2vYsGGmFwYAAAD4ixNu/4iLi1NkZKT27NmjXbt2qWfPnmeiLgAAAMBvnDBUr1y5UuPG\njdPLL7+slStXKiYmRi+//PKZqA0486KjW18AAACn4ITbPxYsWKDNmzcrNDRUkrRz506NHz9eN910\nk+nFAcfzwee79I/NNfJ4fDfmjG8PSJJeXPapJCkw0KJJVzg03N7Pd5MAAIBu54Sh2uPxKCQkxPv3\ns846Sx5fphjgNP3lFZfKPt2l5hbf/Txeu6dJkrT8b9slSdagAO0/0KysW8/32RwAAKD7OWGoTkhI\n0DXXXKPp06fL4/EoPz9f11577ZmoDTiupkMtOtDUovNHDFafXlafjNlnfet/EqMjQ/Xt7gP6qmqP\nDh1q8cnYAACg+zpmqHa5XKqtrdVjjz2m1atX6+2335YkXXbZZZo+ffoZKxA4kXOG9teg4F4+GatX\nz0BJUoRzoLZV7dFXVXt8Mi4AAOjejnmh4p133qng4GBJ0o033qhFixZp0aJFmjx5su66664zViAA\nAADQ1R1zpbq2tlYXXnhhh/YLL7yQJyqi23r+4YLOLgEAAPihY65U19fXH7PTgQMHTCkGAAAA8EfH\nDNXR0dH6y1/+0qF9yZIlGjt2rKlFAQAAAP7kmNs/nnjiCU2ZMkUvvviiN0SXlZXp4MGDevXVV89Y\ngQAAAEBXd8xQHRYWpo0bN2r9+vX6+OOPZbFYdP311+uqq646k/UBAAAAXd5x71NtsVh01VVXEaQB\nAACA4zjmnmrg+yh17iSlzp3U2WUAAAA/Q6gGAAAADDrhY8oBAMDJeWrlVr36jx3yeMybIyjIortm\nRCrhsqHmTQLglBGqAQDwkZKPv9HXu5rU3GJequ7VI0Bln9YRqoEuhlANAICPTR4/XMF9e/h83P9U\n7lHpx7U+HxeAcYRqAABMYLFYfD+mz0cE4CuEaqCN5x8u6OwSAACAH+LuHwAAAIBBpoXq5uZmjRkz\nRhMnTpQk1dXVKT4+XhEREZowYYLq6+u9xy5cuFDh4eGKjIzU2rVrve1lZWUaNWqUwsPDlZmZaVap\nAAAAgCGmherFixcrKirKu6csOztb8fHx2rp1q8aPH6/s7GxJUnl5ufLz81VeXq6ioiLNnj1bnv+7\nF1FGRoZyc3PlcrnkcrlUVFRkVrkAAOAMOnSoRXv2HjLt1dxs4n0NgaMwZU91ZWWl3nzzTT3wwANa\ntGiRJKmwsFD//Oc/JUlpaWmKi4tTdna2CgoKlJKSIqvVKqfTqREjRqikpETnnHOOGhoaFBMTI0lK\nTU3VmjVrlJCQYEbJAADgDCouq1VxmXl3MrGd1Ut58y9Vzx6Bps0BtGVKqL7rrrv02GOPac+ePd62\n2tpa2Ww2SZLNZlNtbet/SFVVVYqNjfUe53A45Ha7ZbVa5XA4vO12u11ut/uo882bN8/7dVxcnOLi\n4nx4NgAAwFdCB/dWjx5Bqt972LQ5mg61qMUjfbv7oIaG9DFtHnRvxcXFKi4uPunjfR6qX3/9dYWG\nhmrMmDHHLMRisfj0VkNtQzVgROrcSZK4CwgAmKV/3x6aMv6/TJ3jlbe+NHV8fD98d6F2/vz5xz3e\n56F648aNKiws1JtvvqkDBw5oz549mjlzpmw2m2pqahQWFqbq6mqFhoZKal2B3rFjh7d/ZWWlHA6H\n7Ha7Kisr27Xb7XZflwsAAAAY5vMLFX/3u99px44dqqio0IoVK3TVVVdp2bJlSkpKUl5eniQpLy9P\nkydPliQlJSVpxYoVampqUkVFhVwul2JiYhQWFqbg4GCVlJTI4/Fo2bJl3j4AAABAV2L6w1+ObPO4\n7777lJycrNzcXDmdTq1cuVKSFBUVpeTkZEVFRSkoKEg5OTnePjk5OUpPT1djY6MSExO5SBEAAABd\nkqmh+oorrtAVV1whSRo8eLDWrVt31OOysrKUlZXVoX3s2LHasmWLmSUCAAAAhvFERQAAAMAg07d/\nAP6Eu34AAIDTwUo1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqoE2UudOUurcSZ1d\nBgAA8DPcUg8AcNL2NR5WhXuvKWMfOtxiyrgAcCYQqgEAJ2SR5PFIb3+4U29/uNPEmTwmjg0A5iFU\nAwBOKOwHfTQwuJcONB02dR5HWH/179PD1DkAwAyEagDACfXuFaSEy8/u7DIAoMviQkUAAADAIFaq\ngTaef7igs0sAAAB+iJVqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwiVANtpM6dpNS5\nkzq7DAAA4GcI1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA0AAAAYFNTZBQBdyfMPF3R2CQAA\nwA+xUg0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQYRqoI3UuZOUOndSZ5cBAAD8DKEa\nAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqAQAAAIOCOrsAoCt5/uGCzi4BAAD4IVaqAQAAAIMI\n1QAAAIBBhGoAAADAIEI1AAAAYBChGgAAADCIUA20kTp3klLnTursMgAAgJ8hVAMAAAAGEaoBAAAA\ng3weqg8cOKBx48Zp9OjRioqK0v333y9JqqurU3x8vCIiIjRhwgTV19d7+yxcuFDh4eGKjIzU2rVr\nve1lZWUaNWqUwsPDlZmZ6etSAQAAAJ/weaju1auX1q9frw8++EAfffSR1q9fr3//+9/Kzs5WfHy8\ntm7dqvHjxys7O1uSVF5ervz8fJWXl6uoqEizZ8+Wx+ORJGVkZCg3N1cul0sul0tFRUW+LhcAAAAw\nzJTtH3369JEkNTU1qbm5WYMGDVJhYaHS0tIkSWlpaVqzZo0kqaCgQCkpKbJarXI6nRoxYoRKSkpU\nXV2thoYGxcTESJJSU1O9fQAAAICuJMiMQVtaWnTxxRfryy+/VEZGhs4//3zV1tbKZrNJkmw2m2pr\nayVJVVVVio2N9fZ1OBxyu92yWq1yOBzedrvdLrfbfdT55s2b5/06Li5OcXFxvj8pfC88/3BBZ5cA\nAAC6gOLiYhUXF5/08aaE6oCAAH3wwQfavXu3rrnmGq1fv77d9y0WiywWi8/maxuqAQAAAKO+u1A7\nf/784x5v6t0/BgwYoOuuu05lZWWy2WyqqamRJFVXVys0NFRS6wr0jh07vH0qKyvlcDhkt9tVWVnZ\nrt1ut5tZLgAAAHBafB6qv/nmG++dPRobG/XWW29pzJgxSkpKUl5eniQpLy9PkydPliQlJSVpxYoV\nampqUkVFhVwul2JiYhQWFqbg4GCVlJTI4/Fo2bJl3j4AAABAV+Lz7R/V1dVKS0tTS0uLWlpaNHPm\nTI0fP15jxoxRcnKycnNz5XQ6tXLlSklSVFSUkpOTFRUVpaCgIOXk5Hi3huTk5Cg9PV2NjY1KTExU\nQkKCr8sFAAAADPN5qB41apTee++9Du2DBw/WunXrjtonKytLWVlZHdrHjh2rLVu2+LpEAAAAwKd4\noiLQRurcSUqdO6mzywAAAH6GUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQaY8phzw\nV88/XNDZJQAAAD/ESjUAAABgEKEaAAAAMIhQDQAAABhEqAYAAAAMIlQDAAAABhGqgTZS505S6txJ\nnV0GAADwM4RqAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBgAAAAwK6uwCgK7k+YcLOrsEAADg\nh1ipBgAAAAwiVAMAAAAGEaoBAAAAgwjVAAAAgEGEagAAAMAgQjXQRurcSUqdO6mzywAAAH6GUA0A\nAAAYRKgGAAAADCJUAwAAAAYRqgEAAACDCNUAAACAQUGdXQDQlTz/cEFnlwAAAPwQK9UAAACAQYRq\nAAAAwCBCNQAAAGAQoRoAAAAwiFANAAAAGESoBtpInTtJqXMndXYZAADAzxCqAQAAAIMI1QAAAIBB\nhGoAAADAIEI1AAAAYBChGgAAADAoqLMLALqS5x8u6OwSAACAH2KlGgAAADCIUA0AAAAYRKgGAAAA\nDCJUAwAAAAb5PFTv2LFDV155pc4//3xdcMEFevLJJyVJdXV1io+PV0REhCZMmKD6+npvn4ULFyo8\nPFyRkZFau3att72srEyjRo1SeHi4MjMzfV0qAAAA4BM+D9VWq1WPP/64PvnkE73zzjt66qmn9Omn\nnyo7O1vx8fHaunWrxo8fr+zsbElSeXm58vPzVV5erqKiIs2ePVsej0eSlJGRodzcXLlcLrlcLhUV\nFfm6XKCd1LmTlDp3UmeXAQAA/IzPQ3VYWJhGjx4tSerXr59Gjhwpt9utwsJCpaWlSZLS0tK0Zs0a\nSVJBQYFSUlJktVrldDo1YsQIlZSUqLq6Wg0NDYqJiZEkpaamevsAAAAAXYmp96netm2b3n//fY0b\nN061tbWy2WySJJvNptraWklSVVWVYmNjvX0cDofcbresVqscDoe33W63y+12H3WeefPmeb+Oi4tT\nXFyc708GAAAA3xvFxcUqLi4+6eNNC9V79+7VjTfeqMWLF6t///7tvmexWGSxWHw2V9tQDQAAABj1\n3YXa+fPnH/d4U+7+cejQId14442aOXOmJk+eLKl1dbqmpkaSVF1drdDQUEmtK9A7duzw9q2srJTD\n4ZDdbldlZWW7drvdbka5AAAAgCE+X6n2eDy67bbbFBUVpTvvvNPbnpSUpLy8PN17773Ky8vzhu2k\npCRNnz5dv/zlL+V2u+VyuRQTEyOLxaLg4GCVlJQoJiZGy5Yt0y9+8QtflwsAgN8p/eRbzV642ZSx\nv951wJRxge7O56H67bff1gsvvKALL7xQY8aMkdR6y7z77rtPycnJys3NldPp1MqVKyVJUVFRSk5O\nVlRUlIKCgpSTk+PdGpKTk6P09HQ1NjYqMTFRCQkJvi4XaOf5hws6uwQAOKZ+faxqOtSiiqr9qqja\nb9o8AQEW9eoZaNr4QHfk81B9+eWXq6Wl5ajfW7du3VHbs7KylJWV1aF97Nix2rJli0/rAwDAX4We\n1UeTx/+XDjY1mzpP3z5W9bASqoFTYerdPwAAgG/179tD/ft2dhUAvovHlAMAAAAGEaoBAAAAgwjV\nAAAAgEGEaqCN1LmTlDp3UmeXAQAA/AyhGgAAADCIUA0AAAAYRKgGAAAADCJUAwAAAAYRqgEAAACD\neKIi0MbzDxd0dgkAAMAPsVINAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAg7hQEQAAdEsb3tupgf2t\npoxtDQpQ7KgfqG9vohRa8ZMAtJE6d5Ik7gICAP4sIMCig03NenL556bNERhoUco152h2coRpc8C/\nEKoBAEC3cskFoapwN5g2fsO+Ju3Ze1C79x0ybQ74H0I1AADoVuy2frLb+pk2/pc7dqv041rTxod/\n4kJFAAAAwCBCNQAAAGAQoRoAAAAwiD3VQBvc9QMAAJwOQjXQjTU3e/SPzTWq29Nk6jzDbH102UUh\nps4BAEBXRqgGurH3P6/TgqUf6+ChFlPn6d0zUPnZlyt0cC9T5wEAoKsiVAPd2L7Gwzrc7JHFEihH\nmDm3l/ryq93qYfVoX+NhU8YHAMAfEKqB74FBA3rqkgtCTRnb/fVeSR5TxgYAwF9w9w8AAADAIEI1\n0Ebq3ElKnTups8sAAAB+hlANAAAAGMSeauAEyj6t0x0LSkwbf1hYX2Xdcr4CAy2mzQEAAMxFqAaO\noX+fHmo61KLtNfu1vWa/afN8vq1BP77WqeF2c+7OAQAAzEeoBo7hrIG9dEP8uTpwsNm0Of652S0P\nd84Azqjy/+zWwmc/MWXsut3mPmgJQNdFqAaOo29vq/r2tpo2fuuWD0I1cCb06hGkQ4db9Pn2Bn2+\nvcG0eTySeloDTRsfQNdEqAbaeP7hgs4uAYBJhoT00ZUxDh1oMu+3T5I0oF8P9erJP6/A9w3/1QMA\nvhcsFovsNq5dAGAObqkHAAAAGESoBgAAAAwiVAMAAAAGEaoBAAAAgwjVQBupcycpde6kzi4DAAD4\nGUI1AAAAYBChGgAAADCIUA0AAAAYRKgGAAAADOKJijBFS4tHb3+4U7v2NJk2x+69h0wbGwAA4FQQ\nqmGKj1z1ejDnIzUdajF1npYWjwIDfPcLl+cfLvDZWAAA4PvD56H61ltv1RtvvKHQ0FBt2bJFklRX\nV6dp06Zp+/btcjqdWrlypQYOHChJWrhwoZ555hkFBgbqySef1IQJEyRJZWVlSk9P14EDB5SYmKjF\nixf7ulSYaM++Qzp8uEUtHouGhvY1bZ4B/Xqof1+raeMDAACcDJ+H6ltuuUVz5sxRamqqty07O1vx\n8fG655579Oijjyo7O1vZ2dkqLy9Xfn6+ysvL5Xa7dfXVV8vlcslisSgjI0O5ubmKiYlRYmKiioqK\nlJCQ4OtyYbLBA3rq0ovCOrsMAAAAU/n8QsUf/ehHGjRoULu2wsJCpaWlSZLS0tK0Zs0aSVJBQYFS\nUlJktVrldDo1YsQIlZSUqLq6Wg0NDYqJiZEkpaamevsAAAAAXc0Z2VNdW1srm80mSbLZbKqtrZUk\nVVVVKTY21nucw+GQ2+2W1WqVw+Hwttvtdrnd7mOOP2/ePO/XcXFxiouL8+0JAAAA4HuluLhYxcXF\nJ338Gb9Q0WKxyGKx+HTMtqEaAADA361a95XefLvK1Dl6BAXojhtG6OKRg02dx199d6F2/vz5xz3+\njIRqm82mmpqa/9fevQdFdd59AP/uwi6s4AUVUAGjUaIgC8vICxIENXmTUi9IIyFq0lBREjNmEqe1\noyWJb2ouTW2YjpV6iWNUxJL0pa2GMZKLE8hUwypKxKChqKBA8ML9tiDsPu8fvu6IgIC7Z298PzPO\nyNlznue3h2eW7559zrOYMGECampq4OXlBeDOFejKykrjflVVVfD19YWPjw+qqqp6bPfx8bFEqTTM\nvbh5KQCuAkJERNZ1JK8KP1xpgkHCRbRcFHJ8pb3OUG0mFgnVcXFxOHDgADZu3IgDBw4gPj7euH3l\nypX49a9/jerqapSVlSE8PBwymQyjRo2CVqtFeHg4Dh48iNdee80SpRIRERFZnRACer3AgnBfjFCZ\nf5WryustuHilHkIIs7c9XJk9VK9YsQL5+fmora2Fn58ftmzZgk2bNiExMRF79+41LqkHAIGBgUhM\nTERgYCCcnZ2xY8cO49SQHTt24Fe/+hV0Oh0WLlzIlT+IiIho2BnlrsRIN6XZ261r7DB7m8Od2UN1\nVlZWn9u//vrrPrenpqYiNTW11/bZs2cb17kmIiIisjVFP9YjNf17Sdqul/AbiUka/EZFIiIioiFQ\nuTrjdpcBlyrbcKmyTcKeZFAqnCRsn8yJoZqIiIhoCCaOH4HYuY+g47Ze0n5GuSvgomSothcM1UT3\n4KofREQ0EJlMBs+xKmuXQTbG7N+oSEREREQ03DBUExERERGZiKGaiIiIiMhEDNVERERERCZiqCYi\nIiIiMhFDNdE9Xty8FC9uXmrtMoiIiMjOMFQTEREREZmIoZqIiIiIyEQM1UREREREJmKoJiIiIiIy\nEUM1EREREZGJnK1dAJEtydhyxNolkAPSdepxIOcKGlpuS9ZHXVOnZG0TEdHAGKqJiCRWeKEOh45V\noL1DL2k/BiGgVDpJ2gcREfWNoZqISGLd3QJ6g4C7mxIzp3pI1s8oNyVULnxZJyKyBr76PiSDQUje\nh1wuk7wPIrIcd5UC0/xGW7sMIiKSAEP1Q/joH2X45MurkvbhJJdhXeJjiF/gJ0n72vO1yD1ZI0nb\nAHCrsUOytomIiIhsDUP1Qzh9oR51TV3o1kt3tdpFKcfZHxskC9X7PruCMz82SHrFXW8Q8B7PIUZE\nRESOj4nHBEvmT8HY0a5mb/fqTy347px0V5EBoFtvwO0uAzQzPeE2QpphIJfJMNHTTZK2pfLi5qUA\nuAoIERERDQ1D9TA30XOEJG8MiIiIiIYTfvkLEREREZGJGKqJiIiIiEzE6R9ENuB/dhfDRWH+L+1o\nbe8ye5tERETUG0M1kRWNclei+kYbzv2nSbI+hBDwm6SUrH0iIiJiqCbqwdKrfswL80FjS6ekfchl\nMoweyVBNRES91dTq8FWBdCuOPTLRDY89Mkqy9m0JQzWRFcnlMq6+QkREFieXy6DXC5wuqcfpknrJ\n+nFTOeEff4rBKHeFZH3YCoZqIiIiomHG19sN/pPHoOO2XrI+rta0QKGQo03XzVBNRDQcGAwCNxs6\nICT6gtHG1tvSNExE9JCUCif8l9pb0j5ufnVZ0vZtDUM1EQ17731cguPa65L2YTBI2jwREVkZQzUR\nDXuXK1vQ0NwFhcIJcrlMkj6c5HJM9R0eN+sQEQ1HDNVE93hx81IAll8FxBHs/N8yuKmkeUlxcpIh\n8anJkt9B/nSUH8aMdJG0DyIickwM1URkEpWLM+qbdDh++oZkfSic5ZDJgDdWB0nWBxERkSkYqonI\nJPPCJuF6XTsg0U1+t+p1uFLVBL1eog6IiIjMgKGaiEzi6uKMKZOkm5YhAFypku4bJ4mIiMxBbu0C\niIiIiIjsHa9U27DW9i7852qzJG133ub6XkRERETmwlBtg2QyQBgECi/UY80WrWT9CAHIZNIsH2av\nuOoHERERPQyGahvkPW4EPMeOgK6zW9J+Jk8cidHuSkn7ICIiIhoOGKptkIvSCf8d6WftMoiIiIho\nkDTEBWEAAA6fSURBVHijIhERERGRiRiqiYiIiIhMxFBNRERERGQih5xT3abrRptOupv8urq5HJ2j\nenHzUgBcBYSIiIiGxuFC9bXrbUh5Ryv9Osz8xmQiIiIi+n8ON/3j2vV2tLZ3o765C22dBsn+jR+r\nwuiRLtZ+umRmJ3Vt1i6BHMzliwXWLoEcDMcUmRvHlHnY/JXq3NxcrF+/Hnq9HmvWrMHGjRsHddwk\nLzc8EeErcXXkaE52tOFxlZu1yyAHcuWiFtMC5li7DHIgHFNkbhxT5mHTV6r1ej1effVV5Obm4sKF\nC8jKysLFixetXRYRERERUQ82faX61KlTmD59OqZMmQIAWL58OY4cOYKAgADrFkZEFtfS3oXSimZJ\n2r7dxZuPiYjINDIhhM3ecpednY0vvvgCe/bsAQBkZmZCq9Vi+/btxn1kMpm1yiMiIiKiYeRBsdmm\nr1QPJjDb8HsCIiIiIhombHpOtY+PDyorK40/V1ZWwteXNx8SERERkW2x6VAdFhaGsrIyVFRU4Pbt\n2/j0008RFxdn7bKIiIiIiHqw6ekfzs7OSE9Px89+9jPo9XqsXr2aNykSERERkc2x6SvVAPDzn/8c\npaWlSE9Px4EDB+Dv748//vGPvfarra1FbGwsNBoNgoKCsH//fssXS3YjOTkZ3t7eUKvV/e7z2muv\nwd/fHyEhISgqKrJgdWSPBhpThw4dQkhICIKDgxEVFYXi4mILV0j2ZDCvUQBw+vRpODs745///KeF\nKiN7NZgxlZeXh9DQUAQFBWH+/PmWK85B2HyoBga3XnV6ejpCQ0Px/fffIy8vD7/5zW/Q3d1tpYrJ\n1q1atQq5ubn9Pv7555/j0qVLKCsrw0cffYRXXnnFgtWRPRpoTD366KP49ttvUVxcjLfeegsvvfSS\nBasjezPQeALu/G3cuHEjYmNjedM+DWigMdXY2Ih169YhJycHP/zwA7Kzsy1YnWOwi1B973rVCoXC\nuF71vSZOnIjm5jtr2DY3N2PcuHFwdrbp2S1kRdHR0fDw8Oj38c8++wxJSUkAgIiICDQ2NuLGjRuW\nKo/s0EBjKjIyEqNHjwZwZ0xVVVVZqjSyQwONJwDYvn07EhIS4OnpaaGqyJ4NNKb+9re/YdmyZcYF\nIcaPH2+p0hyGXYTq6upq+Pn5GX/29fVFdXV1j31SUlJQUlKCSZMmISQkBNu2bbN0meRA+hpzDEFk\nLnv37sXChQutXQbZserqahw5csT4KRq/s4FMVVZWhvr6eixYsABhYWE4ePCgtUuyO3ZxKXcwLxbv\nv/8+NBoN8vLycPnyZTz11FM4d+4cRo4caYEKyRHd/3Eq/2iROXzzzTf4+OOPceLECWuXQnZs/fr1\n+OCDDyCTySCE4PQPMllXVxfOnj2L48ePo729HZGRkZgzZw78/f2tXZrdsItQPZj1qk+ePIk33ngD\nADBt2jRMnToVpaWlCAsLs2it5BjuH3NVVVXw8fGxYkXkCIqLi5GSkoLc3NwBP9onepAzZ85g+fLl\nAO7cqH/s2DEoFAouO0sPzc/PD+PHj4dKpYJKpUJMTAzOnTvHUD0EdjH9YzDrVc+cORNff/01AODG\njRsoLS3Fo48+ao1yyQHExcUhIyMDAFBQUIAxY8bA29vbylWRPbt27RqeeeYZZGZmYvr06dYuh+zc\nlStXUF5ejvLyciQkJGDnzp0M1GSSpUuX4t///jf0ej3a29uh1WoRGBho7bLsil1cqe5vverdu3cD\nAF5++WWkpqZi1apVCAkJgcFgwNatWzF27FgrV062asWKFcjPz0dtbS38/Pzw+9//Hl1dXQDujKeF\nCxfi888/x/Tp0+Hm5oZ9+/ZZuWKydQONqS1btqChocE4B1ahUODUqVPWLJls2EDjiWioBhpTM2fO\nRGxsLIKDgyGXy5GSksJQPUQywYlYREREREQmsYvpH0REREREtoyhmoiIiIjIRAzVREREREQmYqgm\nIiIiIjIRQzURERERkYkYqomIhqHCwkLk5+dj69at1i6FiMghMFQTkc1wcnJCaGgo1Go1EhMTodPp\nBn3s22+/jbS0NABAVFSUVCX2Sy6X45e//KXx5+7ubnh6emLJkiUPPK6pqQk7d+584D5SPJ/CwkJE\nRESgtrYWra2tZm/fXCorK7FgwQLMmjULQUFB+Mtf/vLA/deuXYuTJ09aqLq+JScnw9vbG2q12qp1\nEJFlMVQTkc0YMWIEioqKcP78eSiVSuzatWvQx8pkMuP/T5w4MejjhBAwx3L9bm5uKCkpQUdHBwDg\nq6++gq+vb4+6+tLQ0IAdO3Y8sK6hPJ/BWrt2LRQKBbq7u+Hu7m729vsz1POtUCjw5z//GSUlJSgo\nKMBf//pXXLx4sd/9tVotIiMjzVEqgIcbH6tWrUJubq7ZaiAi+8BQTUQ2ae7cubh06RIAIDMzExER\nEQgNDcXatWthMBgAAO+99x5mzJiB6OholJaWGgPsvSHxnXfewcyZMxEdHY2VK1ciLS0NV69exYwZ\nM5CUlAS1Wo3Kysp+++hve18WLlyIo0ePAgCysrKwYsUKYyCLj49HWFgYgoKCsGfPHuMxmzZtwuXL\nlxEaGorExMQedVVVVRmfT2FhIUJCQtDZ2Ym2tjYEBQXhwoULJp3jTz/9FKmpqcZvVRus3/3udz3e\nCNz7KUFf56uioqLX+V60aBE0Gg3UajX+/ve/99vXhAkToNFoANw5DwEBAfjpp5/63PfixYt47LHH\neryRGWqtAEyqFwCio6Ph4eHxwH2IyAEJIiIb4e7uLoQQoqurS8TFxYldu3aJCxcuiCVLloju7m4h\nhBCvvPKKyMjIEIWFhUKtVgudTieam5vF9OnTRVpaWo92Tp06JTQajejs7BQtLS3C399fpKWlifLy\nciGXy4VWqxVCiH776G97f7UXFxeLhIQE0dHRITQajcjLyxOLFy8WQghRX18vhBCivb1dBAUFibq6\nOiGEEBUVFSIoKMj4/3vruv+8vPnmm2LDhg1i3bp14oMPPhjUOc3JyRGLFy8W3t7eYv78+WLnzp1C\nCCH2798vkpOTxZo1a4zPb7CKiorEvHnzjD8HBgaKqqqqfs/X/ec7OztbpKSkGI9vamoaVL/l5eVi\n8uTJoqWlpc/H09LSxL59+0yq9W4/ptZbXl5u/L0S0fDgbO1QT0R0l06nQ2hoKAAgJiYGycnJ2L17\nN86cOYOwsDAAQEdHByZMmID6+no888wzcHV1haurK+Li4nq1d+LECcTHx0OpVEKpVGLJkiUQQkAm\nk+GRRx5BeHg4AOD48eN99tHc3Nxju06nw4QJE/qtX61Wo6KiAllZWVi0aFGPx7Zt24bDhw8DuDNP\nuKysDBERET2mFgghetR1v82bNyMsLAwqlQrbt28f8Hxeu3YNOTk5yMnJweHDhyGEwC9+8QsAQFJS\nEpKSkgZsoy8ajQY3b95ETU0Nbt68CQ8PD/j4+OBf//pXn+crJiamx/MKDg7Ghg0bsGnTJixevBhz\n584dsM/W1lYkJCRg27Zt/U5X+fLLL7F//36Tar3L1HqJaPhhqCYim6FSqVBUVNRre1JSEt5///0e\n27Zt29YrkN5PJpP1u4+bm9uAfaSnp/e5/UHi4uKwYcMG5Ofn49atWwCA/Px8HD9+HAUFBXB1dcWC\nBQvQ2dnZ5/H313Wv2tpatLW1Qa/XQ6fTYcSIEQ+sJSMjA6+//joAoK6uDlOnTh308xjIs88+i+zs\nbFy/fh3Lly83bu/rfFVUVPR4Xv7+/igqKsLRo0fx5ptv4sknn8Rbb73Vb19dXV1YtmwZXnjhBcTH\nx/e5T3t7OxobG/t80zOUWu8ypV4iGp44p5qIbNqTTz6J7OxsY0Ctr6/HtWvXEBMTg8OHD6OjowMt\nLS3IycnpdWxUVBRycnLQ2dmJ1tZWHD16tM8bB/vro7/tD5KcnIy3334bs2bNMm5ramqCh4cHXF1d\n8eOPP6KgoMD42MiRI9HS0jKoc/Hyyy/j3XffxcqVK7Fx48Ye9dfU1PTav6GhAZMnTwYAfPfdd4iO\njh5UPwO1CwDPPfccsrKykJ2djWeffda4/2DOV01NDVxdXfH8889jw4YNOHv2bL81CCGwevVqBAYG\nYv369f3u98033+CJJ54we61DrZeIhi9eqSYim9FX4A0ICMC7776Lp59+GgaDAQqFAjt27EB4eDie\ne+45hISEwMvLCxEREb3aCQsLQ1xcHIKDg41LnI0ePbpXXw/qo6/td4NqX7X7+Pjg1VdfNW6TyWSI\njY3Frl27EBgYiBkzZvRYnWLcuHGIioqCWq1GQEBAv6uFHDx4EC4uLli+fDkMBgMef/xx5OXlISYm\nBpcvX8bYsWN7HbNmzRp88sknEELg9ddfh0KhGPB3cJfBYOi3XQAIDAxEa2srfH194e3t/cDz6OXl\n1eN5nT9/Hr/97W8hl8uhUCiMq7wsWrQIe/fu7XG1+cSJE8jMzERwcLBxatAf/vAHxMbG9qjn2LFj\nSExMNLnWu7/bh60XAFasWIH8/HzU1dXBz88PW7ZswapVqwY440Rk72Sir89MiYgcRFtbG9zc3NDe\n3o558+Zhz549xtUkHEFJSQn27duHDz/8cFD763Q6ZGRkQKVSYcqUKfD09IRWq4WXlxfUajW0Wi1u\n3boFtVqNw4cPD7pda5s9ezZOnToFJycna5dCRMMUp38QkUN76aWXEBoaitmzZyMhIcGhAjUAzJo1\na0jBNzMzE5GRkdDpdJgzZw62bt2K4OBgTJs2DR9++CGWLVsGvV4Pb29vuwnUAHDmzBkGaiKyKk7/\nICKHdujQIWuXYFN8fX1x69Yt1NTUQKlUGucht7e3Q6PRQKvVYsyYMfD397dypURE9oXTP4iIhpHs\n7Gx4e3vDYDBg3rx51i6HiMhhMFQTEREREZmIc6qJiIiIiEzEUE1EREREZCKGaiIiIiIiEzFUExER\nERGZiKGaiIiIiMhEDNVERERERCZiqCYiIiIiMhFDNRERERGRiRiqiYiIiIhM9H/qw0bPTyGHfAAA\nAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf()\n",
    "figure(figsize=(12,9), dpi=600)\n",
    "hist(all_sigmas_2 / all_sigmas_1, histtype=\"stepfilled\", bins=25, lw=2, ec=\"#1240ab\", fc=\"#6c8cd5\", alpha=0.8)\n",
    "plot((1, 1), (0, 9000), 'r--', lw=2, alpha=0.8)\n",
    "text(\n",
    "    1.06, 8000., \"87.6%\",\n",
    "    horizontalalignment=\"center\",\n",
    "    verticalalignment=\"center\",\n",
    "    size=\"xx-large\"\n",
    ")\n",
    "text(\n",
    "    1.07, 7600., \"v.2 > v.1\",\n",
    "    horizontalalignment=\"center\",\n",
    "    verticalalignment=\"center\",\n",
    "    size=\"xx-large\"\n",
    ")\n",
    "text(\n",
    "    0.95, 8000., \"9.9%\",\n",
    "    horizontalalignment=\"center\",\n",
    "    verticalalignment=\"center\",\n",
    "    size=\"xx-large\"\n",
    ")\n",
    "text(\n",
    "    0.93, 7600., \"v.2 < v.1\",\n",
    "    horizontalalignment=\"center\",\n",
    "    verticalalignment=\"center\",\n",
    "    size=\"xx-large\"\n",
    ")\n",
    "xlabel(r\"Pedigree Matrix, $\\sigma_{geo}^{2}$, vers. 2 / vers. 1\")\n",
    "ylabel(\"Count\")\n",
    "savefig(\"histogram-ratio.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Density map for technosphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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A6n/NEVHrJImGvN9DRM1u6dKl+OSTT/Df//632c4ZGxuLzz77DDfddFOznbO1mDVrFjIy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\nJIIsAAAAHIkgCwAAAEf6BUALo5WZ/fUTAAAAAElFTkSuQmCC\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf()\n",
    "figure(figsize=(12,9), dpi=600)\n",
    "limits = [0.8, 3.5]\n",
    "plot(limits, limits, 'k--', alpha=0.75, lw=2)\n",
    "hexbin(sigmas_1_tech, sigmas_2_tech, bins='log', cmap=cm.gist_stern_r, gridsize=40)\n",
    "# title(\"With a log color scale\")\n",
    "xlabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$ version 1\")\n",
    "ylabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$ version 2\")\n",
    "cb = colorbar()\n",
    "cb.set_label('Count')\n",
    "cb.set_ticks([0, 0.4, 0.7, 1, 1.4, 1.7, 2, 2.4, 2.7, 3, 3.4, 3.7])\n",
    "cb.set_ticklabels([0, 2.5, 5, 10, 25, 50, 100, 250, 500, 1000, 2500, 5000])\n",
    "xlim((0.8, 3))\n",
    "ylim(limits)\n",
    "title(\"Density map for technosphere exchanges\")\n",
    "savefig(\"pm-hexbin-technosphere.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AgAD8/e9/x8aNG+Hr69voNV15zvDwcGzevBkLFixAYGAgIiMjsWTJEovk9cp9PTw8sGPH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RAAAg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\nEREREQUkBlkiIiIiCkgMskREREQUkP4/LSn2HAuZP3wAAAAASUVORK5CYII=\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf()\n",
    "figure(figsize=(12,9), dpi=600)\n",
    "limits = [0.8, 3.5]\n",
    "plot(limits, limits, 'k--', alpha=0.75, lw=2)\n",
    "hexbin(sigmas_1_bio, sigmas_2_bio, bins='log', cmap=cm.gist_stern_r, gridsize=40)\n",
    "# title(\"With a log color scale\")\n",
    "xlabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$ version 1\")\n",
    "ylabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$ version 2\")\n",
    "cb = colorbar()\n",
    "cb.set_label('Count')\n",
    "cb.set_ticks([0, 0.4, 0.7, 1, 1.4, 1.7, 2, 2.4, 2.7, 3, 3.4, 3.7])\n",
    "cb.set_ticklabels([0, 2.5, 5, 10, 25, 50, 100, 250, 500, 1000, 2500, 5000])\n",
    "xlim((0.8, 3))\n",
    "ylim(limits)\n",
    "title(\"Density map for biosphere exchanges\")\n",
    "savefig(\"pm-hexbin-biosphere.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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M4eGHH+azzz4LdzhdJmCYIf042vXXX096ejpjxoxpfq28vJypU6cybNgwpk2b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\nSAyyRERERBSQ/n+5WtQ1+zz86gAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf()\n",
    "figure(figsize=(12,9), dpi=600)\n",
    "limits = [0.8, 3.5]\n",
    "plot(limits, limits, 'k--', alpha=0.75, lw=2)\n",
    "hexbin(all_sigmas_1, all_sigmas_2, bins='log', cmap=cm.gist_stern_r, gridsize=40)\n",
    "# title(\"With a log color scale\")\n",
    "xlabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$ version 1\")\n",
    "ylabel(r\"Pedigree Matrix $\\sigma_{geo}^{2}$ version 2\")\n",
    "cb = colorbar()\n",
    "cb.set_label('Count')\n",
    "cb.set_ticks([0, 0.4, 0.7, 1, 1.4, 1.7, 2, 2.4, 2.7, 3, 3.4, 3.7])\n",
    "cb.set_ticklabels([0, 2.5, 5, 10, 25, 50, 100, 250, 500, 1000, 2500, 5000])\n",
    "xlim((0.8, 3))\n",
    "ylim(limits)\n",
    "savefig(\"pm-hexbin.png\", dpi=600)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's show which Pedigree Matrix values are used most often"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "labels = sorted(PedigreeMatrix().labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 9599,  8059,  9617,  6568, 18592],\n",
       "       [41502,    11,  5833,  4261,   828],\n",
       "       [36052,  3465, 10645,     0,  2273],\n",
       "       [ 9426, 15814,  7909, 16137,  3149],\n",
       "       [18482,  1348,  8248,  4970, 19387],\n",
       "       [34613,  7597,  6254,  2364,  1607]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts = np.zeros((6, 5)).astype(int)\n",
    "\n",
    "row_map = {k: i for i, k in enumerate(labels)}\n",
    "\n",
    "for ds in ei_data.values():\n",
    "    for exc in ds[\"exchanges\"]:\n",
    "        try:\n",
    "            pm = PedigreeMatrix()\n",
    "            pm.from_string(exc[\"comment\"])\n",
    "            for key, value in pm.factors.iteritems():\n",
    "                counts[row_map[key], value -1] += 1\n",
    "        except:\n",
    "            pass\n",
    "\n",
    "counts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate difference between new and old factors (the values are log-scaled, but we do in percentage anyway...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[  0.           0.98039216  -0.95238095  -1.81818182 -10.        ]\n",
      " [  0.          18.          37.5         38.66666667  40.        ]\n",
      " [  0.           2.97029703   5.88235294   8.82352941   0.90909091]\n",
      " [  0.          46.66666667  46.36363636  40.83333333  12.66666667]\n",
      " [  0.          -1.96078431  -4.76190476  -9.09090909 -16.66666667]\n",
      " [  0.           0.           0.          -0.83333333 -14.        ]]\n"
     ]
    }
   ],
   "source": [
    "from pedigree_matrix.data import version_1, version_2\n",
    "\n",
    "difference = np.zeros((6,5))\n",
    "\n",
    "for label in labels:\n",
    "    row = row_map[label]\n",
    "    new = np.array(version_2[label])\n",
    "    old = np.array(version_1[label])\n",
    "    difference[row, :] = (new - old) / old\n",
    "\n",
    "# In percentage\n",
    "difference = difference * 100\n",
    "    \n",
    "print difference"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Shorten some labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "labels[1] = \"technol. correl.\"\n",
    "labels[2] = \"geo. correl.\"\n",
    "labels[4] = \"sample size*\"\n",
    "labels[5] = \"temp. correl.\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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OvmEhDEyN+WHFzywdPoH5fUcAoKWtTZOenTj/+/+4ezs8Q1tWRV+P7KoXC3RoRRGHkniP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iVxcLDn6dNnjBoewsSp47Czs3v7yXK4NUvWERdzi5U7lvLHlWuvrRNYIYAF0xfx85FfcC9ciOXz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\nFNJEREREktA3XcbyFeD9BYQAAAAASUVORK5CYII=\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf()\n",
    "figure(figsize=(12,9), dpi=600)\n",
    "imshow(counts, cmap=cm.GnBu, interpolation='none', alpha=0.8)\n",
    "cb = colorbar()\n",
    "cb.set_label(\"Count\")\n",
    "xticks(range(5), range(1, 6))\n",
    "xlabel(\"Uncertainty factor\")\n",
    "yticks(range(6), labels)\n",
    "# Add text labels for percentage change\n",
    "for x in range(1, 5):\n",
    "    for y in range(6):\n",
    "        s = \"%s%s%%\" % (\"+\" if difference[y, x] >= 0 else \"\", int(difference[y, x]))\n",
    "        if s == \"+0\":\n",
    "            s = \"0\"\n",
    "        text(x, y - 0.1, s,\n",
    "            horizontalalignment=\"center\",\n",
    "            verticalalignment=\"center\",\n",
    "            size=\"xx-large\")\n",
    "for x in range(5):\n",
    "    for y in range(6):\n",
    "        c = \"%s\" % int(counts[y, x] / 1000)\n",
    "        color = \"black\"\n",
    "        if x == 0 and y in (1,2, 5):\n",
    "            color=\"white\"\n",
    "        text(x, y + 0.2, c,\n",
    "            horizontalalignment=\"center\",\n",
    "            verticalalignment=\"center\",\n",
    "            size=\"large\",\n",
    "            style=\"italic\",\n",
    "            color=color)\n",
    "savefig(\"pm-matrix.png\", dpi=600)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graph of \"stretching\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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X2e1w6Dmw1Q3/DhwCiQsAOJpVQXGZunRKkL+OocnB7qql+zQVxHbc0WQQu3xG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\nIYQQHkkCmBBCCI8kAUwIIYRH+n+wDKD8UiL6DAAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy import stats\n",
    "xs = np.linspace(0.3, 2.3, 500)\n",
    "ys = stats.lognorm.pdf(xs, 0.2, scale=1)\n",
    "clf()\n",
    "figure(figsize=(7.5, 3.5))\n",
    "plot(xs, ys, lw=3, color=\"#1240ab\", label=\"Base uncertainty\", alpha=0.8)\n",
    "ys = stats.lognorm.pdf(xs, 0.3, scale=1)\n",
    "plot(xs, ys, lw=3, color=\"#ffaa00\", label=\"With PM applied\", alpha=0.8)\n",
    "box(False)\n",
    "xticks([])\n",
    "yticks([])\n",
    "ylim(-0.2, ylim()[1])\n",
    "legend(loc=\"upper right\")\n",
    "savefig(\"stretched.png\", dpi=1200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "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": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
