Notebooks/Materials-1-Design of the HiC experiment.ipynb

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   "source": [
    "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Overview-of-the-Hi-C-experiment\" data-toc-modified-id=\"Overview-of-the-Hi-C-experiment-1\">Overview of the Hi-C experiment</a></span><ul class=\"toc-item\"><li><span><a href=\"#Choose-the-restriction-enzyme\" data-toc-modified-id=\"Choose-the-restriction-enzyme-1.1\">Choose the restriction enzyme</a></span><ul class=\"toc-item\"><li><span><a href=\"#Example-with-different-restriction-enzymes-and-double-digestion\" data-toc-modified-id=\"Example-with-different-restriction-enzymes-and-double-digestion-1.1.1\">Example with different restriction enzymes and double digestion</a></span></li><li><span><a href=\"#Distribution-of-the-restriction-fragment-sizes\" data-toc-modified-id=\"Distribution-of-the-restriction-fragment-sizes-1.1.2\">Distribution of the restriction fragment sizes</a></span></li><li><span><a href=\"#Number-of-cut-sites-per-bin-in-chromosome-19\" data-toc-modified-id=\"Number-of-cut-sites-per-bin-in-chromosome-19-1.1.3\">Number of cut-sites per bin in chromosome 19</a></span></li></ul></li></ul></li><li><span><a href=\"#References\" data-toc-modified-id=\"References-2\">References</a></span></li></ul></div>"
   ]
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   "source": [
    "# Overview of the Hi-C experiment"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Hic Expriment](images/hic_experiment.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adapted from <a name=\"ref-1\" align=\"right\">[Lieberman et al. 2009](#cite-lieberman2009)</a>"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Choose the restriction enzyme"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of the the most important decision when designing an Hi-C experiment is the choice of the restriction enzyme (RE).\n",
    " \n",
    "The RE must fulfill a list of desiderata to ensure the formation of ligated fragments:\n",
    " - The resulting cut-site must present a 3' overhang. Without it the reparation process cannot insert the nucleotide marked with biotin.\n",
    " - The RE should be able to cut optimally in conditions (pH, temperature) compatible with the experiment.\n",
    " - The RE should not be affected by the GC content around the target sequence.\n",
    " - The site resulting from the ligation of two repaired cut-sites should be recognizable in order to perform the bioinformatic processing.\n",
    " - The cut-site should have an almost __homogeneous distribution__ along the genome in order to avoid biases.\n",
    " - The cut frequency of the RE should be sufficienty high to allow for a good resolution. __More cut-sites mean higher resolution__.\n",
    " - Several __restriction enzymes can be combined__, but having __too many cut-sites may also not be a good idea__, because the average restriction fragment has to be longer than the sequenced fragments.\n",
    " - The __region(s) of interest should have high density of cut-sites__. Some genome browsers allow to load tracks corresponding to the cut-sites of several restriction enzymes (e.g. https://genome.ucsc.edu/)"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TADbit has a dedicated set of functions to help in the choice of the optimal restriction enzyme(s) for the species of interest. We assume that all needed software is installed (Notebook [Materials-2-Preparing your computer for the HiC data analysis](Materials-2-Preparing%20your%20computer%20for%20the%20HiC%20data%20analysis.ipynb)) and the reference genome (Notebook [Methods-2-Preparation of the reference genome](Methods-2-Preparation%20of%20the%20reference%20genome.ipynb)) prepared for the analysis.\n",
    "First we need to load the _Mouse_ genomic sequence:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pytadbit.parsers.genome_parser import parse_fasta\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parsing chr1\n",
      "Parsing chr2\n",
      "Parsing chr3\n",
      "Parsing chr4\n",
      "Parsing chr5\n",
      "Parsing chr6\n",
      "Parsing chr7\n",
      "Parsing chr8\n",
      "Parsing chr9\n",
      "Parsing chr10\n",
      "Parsing chr11\n",
      "Parsing chr12\n",
      "Parsing chr13\n",
      "Parsing chr14\n",
      "Parsing chr15\n",
      "Parsing chr16\n",
      "Parsing chr17\n",
      "Parsing chr18\n",
      "Parsing chr19\n",
      "Parsing chrX\n",
      "Parsing chrY\n",
      "Parsing chrMT\n",
      "saving genome in cache\n"
     ]
    }
   ],
   "source": [
    "genome_seq = parse_fasta('genome/Mus_musculus-GRCm38.p6/Mus_musculus-GRCm38.p6.fa', \n",
    "                         reload_cache=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have loaded the full mouse genome, we can plot the size of each chromosome:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
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JF4E3A5dW1bIka4D301lX8PvA54E1vYvKJ1kLrAUYGRk5bGJiYtu+A/Ngenp6Xs4zOjo6\ncIxZ2plFkiTtavyZQW2WL19+R1WNDRo3m0dD+/ko8D6gmq9nAW8D0jK2X7X5MPBIklXAvXQKvm7X\nVdV3AJJ8HHgNnaLzyYmrzgPOAxgbG6vx8fG5XMsOddZZZ83LeWbzqJ9Z2pmlnY+pSpK0cC2knxm0\n65nzW0Or6ptV9aOq+jHwFzz5+OcWYEnX0AOAB2aY6hLgXJ7+WCg8vYAcfPtSkiRJkjSjOReCSfbv\n2v0VYOtbRTcAq5LsnuRA4CDg9hmm+gTwIeCTLX1HJdk7yXOAY4HPzTWvJEmSJKlj4KOhSdYD48C+\nSbYAp1XV+cCHkryCzl26TcBvA1TVPUkuBb4C/BA4sc8bQ2nGfxf4YHOu3u7PAh8DRoH/0fv5QEmS\nJEnSthtYCFbV6j7tvznDMWcAZwyYd2lL2yY6L4ehqi6ks3SFJEmSJGk7GuZlMZI0b3xxjSRJ0vYz\n588ISpIkSZJ2TRaCkiRJkrTIWAhKkiRJ0iIzsBBMckGSh5Lc3ad/XZJKsm+znyQfTjKd5MtJXtXn\nuErysa793ZJ8K8mVzf7pSdbN7bIkSZIkSf3M5o7ghcDRbR1JlgBHAZu7ml9PZ+3Ag4C1wEf7zPtP\nwLJmjUCaeb4xizySJEmSpCEMLASr6ibg4T7dfwb8CZ21BLdaCVxcHbcCe/YsPt/tGuCNzfZqYH1P\n/8uT3JDk/iTvGJRVkiRJkjTYnD8jmORNwDeq6ks9XS8Cvt61v6VpazMBrEqyB3AocFtP/6F0CsWf\nA05N8sK55pUkSZIkdaSqBg9KlgJXVtWyZv+ngBuBX6qqx5JsAsaq6ttJrgLeX1WfbcZeD/xJVd3R\nM+f3qup5SaaAc+k8SvopYF1VHZPkdOAZVXVqM/5i4ONV9Tc986yl8wgqIyMjh01MTMztO7EDTU9P\nz8t5RkdHB44xSzuztDOLJEkLl/9vVJvly5ffUVVjg8bNdUH5fwUcCHwpCcABwBeSHE7nDuCSrrEH\nAA/MMNcG4ExgHNinp6+3Sn1a1VpV5wHnAYyNjdX4+Phsr2HenHXWWfNyntkshG2WdmZpZxZJkhYu\n/9+oYczp0dCququq9quqpVW1lE7x96qq+gc6hd1bm7eHvhp4rKoenGG6C4D3VtVdLX0rk+yRZB86\nheLn55JXkiRJkvSk2SwfsR64BTg4yZYkJww45Grgq8A08BfA78w0uKq2VNXZfbpvB64CbgXeV1Uz\n3VmUJEmSJM3CwEdDq2r1LMYs7dou4MRZHPO8lrZJYLLZPn3QHJIkSZKkbTfnt4ZKkiRJknZNFoKS\nJEmStMhYCEqSJEnSImMhKEmSJEmLzGzeGnpBkoeS3N3T/r4kX05yZ5JPJXlh054kH04y3fS/qs+8\nleRjXfu7JflWkiub/dOTrBvu8iRJkiRJvWZzR/BC4OiW9j+tqkOr6hXAlcCpTfvrgYOaX2uBj/aZ\n95+AZUme0+wfBXxjlrklSZIkSXM0sBCsqpuAh1va/7Fr97lANdsrgYur41ZgzyT795n+GuCNzfZq\nYH1P/8uT3JDk/iTvGJRVkiRJkjTYwHUEZ5LkDOCtwGPA8qb5RcDXu4ZtadoebJliAji1eRz0UOAC\n4LVd/YcCr6ZTaH4xyVUuKi9JC9OKFSvm5TwbN26cl/NIkvSTLJ313wcMSpYCV1bVsj79pwB7VNVp\nSa4C3l9Vn236rgf+pKru6Dnme1X1vCRTwLl0HiX9FLCuqo5JcjrwjKo6tRl/MfDxqvqbnnnW0nkE\nlZGRkcMmJiZmffHzZXp6el7OMzo6OnCMWdqZpZ1ZtC38PZKk+eXfu2qzfPnyO6pqbNC47VUI/gvg\nqqpaluTPgcmqWt/03QeMV9WDPcdsLQRPBd4JjAP78NRCMFV1WjP+YuDyqrqiX86xsbGampoaeD3z\nbSH9K7lZ2pmlnVnaLaQsC4nfF0maX/69qzZJZlUIznn5iCQHde2+CfjbZnsD8Nbm7aGvBh7rLQJ7\nXAC8t6ruaulbmWSPJPvQKRQ/P9e8kiRJkqSOgZ8RTLKeThG2b5ItwGlVdT7wgSQHAz8G/h74f5tD\nrgbeAEwD3wd+a6b5q2oLcHaf7tuBq4CfBd7n5wMlSZIkaXgDC8GqWt2n/d/3aS/gxFnM+7yWtklg\nstk+fdAckiRJkqRtN+dHQyVJkiRJuyYLQUmSJElaZIZaR1CStHP5xjjtqvxvV5J2Lu8ISpIkSdIi\nYyEoSZIkSYvMbJaPuAA4Bnioe0H5JH8KrACeAP438FtV9WjTdwpwAvAj4Per6pMt824Cvl5Vr+1q\nuxPYrVmYfg0wVlW/O/fLkyQtRj52KEnSzGZzR/BC4OiW9uuAZVV1KPB3wCkASQ4BVgEvbY77SJJn\n9pn7+UmWNMe9ZNuiS5IkSZLmYmAhWFU3AQ+3tH+qqn7Y7N4KHNBsrwQmqurxqvoanYXlD+8z/aXA\ncc32amB9T/+SJNcmuS/JaYOySpIkSZIGS2f99wGDkqXAld2Phvb0bwQuqaq/SnIOcGtV/VXTdz5w\nTVVd1nPMJuCXgAur6ogkXwTeDFza9Wjo+4FlwPeBzwNrqmqqZ561wFqAkZGRwyYmJmZ56fNnenp6\nXs4zOjo6cIxZ2pmlnVnamaWdWdqZpd1CyiLtqvxzpDbLly+/o6rGBo0buhBM8h+BMeBXq6qSnAvc\n0lMIXl1Vl/cct6k57iLgY8CbgHdtPU9TCL6uqt7ajH8v8HBV/dd+OcfGxmpqaqpf906zkD6rYpZ2\nZmlnlnZmaWeWdmZpt5CySLsq/xypTZJZFYJDrSOY5Hg6L5I5sp6sKLcAS7qGHQA8MMM0lwDnAmta\n+nqr1MFVqyRJkiRpRnNePiLJ0cBJwJuq6vtdXRuAVUl2T3IgcBBw+wxTfQL4EPC0N4sCRyXZO8lz\ngGOBz801ryRJkiSpY2AhmGQ9cAtwcJItSU5ous4Bng9cl+TOJP8NoKruofMSmK8A1wInVtWP+s1f\nVd+tqg9W1RMt3Z+l89joncDlvZ8PlCRJkiRtu4GPhlbV6j7tfT81WlVnAGcMmHdpS9smOi+Hoaou\npLN0hSRJkiRpO5rzo6GSJEmSpF2ThaAkSZIkLTIWgpIkSZK0yFgISpIkSdIiM5u3hl6Q5KEkd/e0\n/3qSe5L8OMlYT98pSaaT3Jfkl/vMuynJZ3ra7tx6niRrkpyz7ZckSZIkSZrJbO4IXggc3dJ+N/Cr\nwE3djUkOAVYBL22O+0iSZ/aZ+/lJljTHvWSWmSVJkiRJQxhYCFbVTcDDLe33VtV9LYesBCaq6vGq\n+howDRzeZ/pLgeOa7dXA+p7+JUmube4snjYoqyRJkiRpsFTV4EHJUuDKqlrW0jcJrNu62HvzOOet\nVfVXzf75wDVVdVnPcZuAXwIurKojknwReDNwaVUtS7IGeD+ddQW/D3weWNO7qHyStcBagJGRkcMm\nJiZme+3zZnp6el7OMzrad2nHf2aWdmZpZ5Z2ZmlnlnZmabeQski7Kv8cqc3y5cvvqKqxQeN2RCF4\nLnBLTyF4dVVd3nPcJmAMuAj4GPAm4F1bz9MUgq+rqrc2498LPFxV/7VfzrGxsZqamurXvdOsWLFi\nXs6zcePGgWPM0s4s7czSziztzNLOLO0WUhZpV+WfI7VJMqtCcEe8NXQLsKRr/wDggRnGXwKcy9Mf\nCwXorVIHV62SJEmSpBntiEJwA7Aqye5JDgQOAm6fYfwngA8Bn2zpOyrJ3kmeAxwLfG67p5UkSZKk\nRWY2y0esB24BDk6yJckJTfuvJNkC/BxwVZJPAlTVPXReAvMV4FrgxKr6Ub/5q+q7VfXBqnqipfuz\ndB4bvRO4vPfzgZIkSZKkbbfboAFVtbpP+yfo3M1r6zsDOGPAvEtb2jbReTkMVXUhnaUrJEmSJEnb\n0Y54NFSSJEmStIBZCEqSJEnSIjPw0VBJkqSfZL6CX9Ji5B1BSZIkSVpkZvPW0AuSPJTk7p72vZNc\nl+T+5uteTXuSfDjJdJIvJ3lVn3kryce69ndL8q0kVzb7pydZN9zlSZIkSZJ6zeaO4IXA0S3tJwPX\nV9VBwPXNPsDr6awdeBCwFvhon3n/CVjWrBEIcBTwjdnFliRJkiTN1cBCsKpuAh5u6VoJXNRsX0Rn\nwfet7RdXx63Ankn27zP9NcAbm+3VwPqe/pcnuaG56/iOQVklSZIkSYMN8xnBkap6EKD5ul/T/iLg\n613jtjRtbSaAVUn2AA4FbuvpP5ROofhzwKlJXjhEXkmSJEkSkKoaPChZClxZVcu62h6tqj279h+p\nqr2SXAW8v6o+27RfD/xJVd3RM+f3qup5SaaAc+k8SvopYF1VHZPkdOAZVXVqM/5i4ONV9Tc986yl\n8wgqIyMjh01MTGzr92CHm56enpfzjI6ODhxjlnZmaWeWdmZpZ5Z2ZmlnFml4/rerNsuXL7+jqsYG\njRumELwPGK+qB5tHPyer6uAkf95sr+8d1zPn1kLwVOCdwDiwD08tBFNVpzXjLwYur6or+uUcGxur\nqampgdcz3xbSa6nN0s4s7czSziztzNLOLO3MIg3P/3bVJsmsCsFh1hHcABwPfKD5ekVX++8mmQD+\nLfBYbxHY44JmzF1Jxnv6ViZ5P/BcOoXiyUiSJP2E8gd7SfNlNstHrAduAQ5OsiXJCU3XB4CjktxP\n542fH2jarwa+CkwDfwH8zkzzV9WWqjq7T/ftwFXArcD7quqBQXklSZIkSTMbeEewqlb3af8OcGRL\newEnzmLe57W0TQKTzfbpg+aQJEmSJG27Yd4aKkmSJEnaBQ3zGUFJkiT9hPLzitJPNu8ISpIkSdIi\nYyEoSZIkSYvMUIVgkncmuTvJPUn+oKt97yTXJbm/+bpXy7HjSarrLaQkeWXTtq7Zn0wycA0MSZIk\nSdLszbkQTLIMeAdwOPBy4JgkBzXdJwPXV9VBwPX0X//vLuC4rv1VwJfmmkmSJEmSNNgwL4t5CXBr\nVX0fIMn/An4F+BCwks4C8AAX0VkS4qSWOTYDL0gyAjwEHE1nHcJub0nyYeAFwNuq6vYhMkuSJEna\nzny50K5nmELwbuCMJPsAPwDeAEw1fSNV9SBAVT2YZL8Z5rkM+HXgi8AXgMd7+p9bVUck+QXgAmDZ\nEJklSZK0i7HIkLa/dNZ/n+PBnc/3nQh8D/gK8IOq+sMkj1bVnl3jHqmqvXqOHQfWAW8HLqHzmOgG\n4Ajge1V1ZpJJ4L1VdUNzzGbg0Kp6tGuetcBagJGRkcMmJibmfD07yvT09LycZ3R0dOAYs7QzSzuz\ntDNLO7O0M0s7s7QzS7uFlGUhWUjfl4WUZbFbvnz5HVU18D0rQxWCT5ko+f+ALVX1kST3AePN3cD9\ngcmqOrhn/DiwrqqOSfJpYAlwCPBunloIvqeqbmyO2Qy8rKoea8swNjZWU1NTbV071UL6VyyztDNL\nO7O0M0s7s7QzSzuztDNLu4WUZSFZSN+XhZRlsUsyq0Jw2LeG7td8/VngV4H1TdcG4Phm+3jgigFT\nnQqcVFU/auk7rjnHa4DH+hWBkiRJkqTZGeYzggCXN58R/L/AiVX1SNP+AeDS5tHRzXQ+A9hXVd08\nQ/cjSW6meVnMkHklSZIkadEbqhCsqtf2af8OcOSAYyfpvE20t/30ru3xYfJJkiRJkp5uqEdDJUmS\nJEm7HgtBSZIkSVpkLAQlSZIkaZGxEJQkSZKkRcZCUJIkSZIWmWHXEfzDJPckuTvJ+iR7NO0HJrkt\nyf1JLkny7JZj1ySpJEd2tf1K0/Zrzf6mJPsOk1GSJEmS9FRzLgSTvAj4fWCsqpYBzwRWNd0fBP6s\nqg4CHgFO6DPNXcDqrv1VwJfmmkmSJEmSNNiwj4buBjwnyW7ATwEPJAnwOuCyZsxFwLF9jv8McHiS\nZyV5HjAK3Nkz5o+T3N78Gh0yryRJkiQteqmquR+cvBM4A/gB8KmqenPzKOetVTXajFkCXNPcNew+\ndg0wBjwB3AD8NJ1C8EDgyqq6LMkm4C+q6owkbwV+o6qO6ZlnLbAWYGRk5LCJiYk5X8+OMj09PS/n\nGR0dXCebpZ1Z2pmlnVnamaWdWdqZpZ1Z2i2kLAvJQvq+LKQsi93y5cvvqKqxQePmXAgm2Qu4HDgO\neBT4n3TuAn4SuKWnELy6ql7Wc/waOoXgxXQeMf1p4I+Ad/HUQvB1VfXVJM8C/qGq9umXaWxsrKam\npuZ0PTvSihUr5uU8GzduHDgwKiAbAAAgAElEQVTGLO3M0s4s7czSziztzNLOLO3M0m4hZVlIFtL3\nZSFlWeySzKoQHObR0F8EvlZV36qq/wt8HDgC+DawZ/O4KMABwAP9Jqmq24FlwL5V9XdtQ/psS5Ik\nSZLmYJhCcDPw6iQ/1Xwu8Ejg3urcYrwR+LVm3PHAFQPmOoXOncA2x3V9vWWIvJIkSZIkOi97mZOq\nui3JZcAXgB8CXwTOa7pPAiaS/Oem/fwBc10zQ/fuSW6jU7SunmGcJEmSJGkW5lwIAlTVacBpLe1f\nBQ4fcOyFwIUt7Wu6tpc2m++Ze0pJkiRJUrdhl4+QJEmSJO1iLAQlSZIkaZGxEJQkSZKkRcZCUJIk\nSZIWmTkXgkkOTnJn169/TPIHTd/eSa5Lcn/zda+W48eTVJITutpe2bSta/YnkwxcDFGSJEmSNHtz\nLgSr6r6qekVVvQI4DPg+8Imm+2Tg+qo6CLi+2W9zF0+uEwiwCvjSXDNJkiRJkgbbXo+GHgn876r6\n+2Z/JXBRs30RcGyf4zYDeyQZaRalPxroXVPwLUluTnJ3khmXpJAkSZIkDZaqGn6S5ALgC1V1TrP/\naFXt2dX/SFXt1XPMOLAO+BTwYzoLz78d+Hvge1V1ZpJJ4P6qekeSXwA+UlXLeuZZC6wFGBkZOWxi\nYmLo69nepqen5+U8o6OjA8eYpZ1Z2pmlnVnamaWdWdqZpZ1Z2i2kLAvJQvq+LKQsi93y5cvvqKqB\nH68buhBM8mzgAeClVfXNpm1bCsG3A5fQeUx0A3AETy0E31tVNzTHbAYOrapH27KMjY3V1NTUUNez\nI6xYsWJezrNx48aBY8zSziztzNLOLO3M0s4s7czSziztFlKWhWQhfV8WUpbFLsmsCsHt8Wjo6+nc\nDfxmV9s3k+zfBNkfeKjfwVX1D8D/BY6i83nCpw0ZsC9JkiRJ2gbboxBcDazvadsAHN9sHw9cMWCO\nU4GTqupHLX3HASR5DfBYVT02RFZJkiRJWvR2G+bgJD9F507eb/d0fQC4tFkaYjPw6zPNU1U3z9D9\nSJKbgRcAbxsiriRJkiSJIQvBqvo+sE9L+3fovEl0pmMngcmW9tO7tseHySdJkiRJerrttXyEJEmS\nJGkXYSEoSZIkSYuMhaAkSZIkLTIWgpIkSZK0yAxVCCbZM8llSf42yb1Jfq5p3zvJdUnub77u1XLs\neJJq3iy6te2VTdu6Zn8yycDFECVJkiRJszfsHcGzgWur6l8DLwfubdpPBq6vqoPoLBJ/cp/j76JZ\nJ7CxCvjSkJkkSZIkSTOY8/IRSV4A/AKwBqCqngCeaLpXAuPN9kV0lok4qWWazcALkowADwFHA1f3\njHlLkg/TrCNYVbfPNbMkSZI0jBUrVszLeTZu3Dgv59HiNcwdwX8JfAv470m+mOQvkzy36RupqgcB\nmq/7zTDPZXQWnD8C+ALweE//c6vqCOB3gAuGyCtJkiRJAlJVczuw89m9W4Gfr6rbkpwN/GNVvTvJ\no1W1Z9fYR6pqr57jx4F1wNuBS+g8JrqBTkH4vao6M8kk8N6quqE5ZjNwaFU92jXPWmAtwMjIyGET\nExNzup4daXp6el7OMzo6OnCMWdqZpZ1Z2pmlnVnamaWdWdqZpZ1Z2plFbZYvX35HVQ18z8owheD/\nA9xaVUub/dcCJ1fVG5PcB4xX1YNJ9gcmq+rgnuPHgXVVdUySTwNLgEOAd/PUQvA9VXVjc8xm4GVV\n9VhbprGxsZqamprT9exIC+kRArO0M0s7s7QzSzuztDNLO7O0M0s7s7Qzi9okmVUhOOdHQ6vqH4Cv\nJ9la4B0JfKXZ3gAc32wfD1wxYLpTgZOq6kctfccBJHkN8Fi/IlCSJEmSNDtzfllM4/eAv07ybOCr\nwG817R8ALm2WhthM5zOAfVXVzTN0P5LkZpqXxQyZV5IkSZIWvaEKwaq6E3jabceq+g6dO4QzHTtJ\n522ive2nd22PD5NPkiRJkvR0w64jKEmSJEnaxVgISpIkSdIiYyEoSZIkSYuMhaAkSZIkLTJDFYJJ\nNiW5K8mdSaa62vdOcl2S+5uve7UcO56kmjeLbm17ZdO2rtmfbBaulyRJkiRtJ9vjjuDyqnpFz6KF\nJwPXV9VBwPXNfpu7aNYJbKwCvrQdMkmSJEmS+thRj4auBC5qti8Cju0zbjOwR5KRJAGOBq7pGfOW\nJDcnuTvJ4TsmriRJkiQtHsMWggV8KskdSdZ2tY9U1YMAzdf9ZpjjMjoLzh8BfAF4vKf/uVV1BPA7\nwAVD5pUkSZKkRS9VNfeDkxdW1QNJ9gOuA36vqm5K8mhV7dk17pGq2qvn2HFgHfB24BI6j4luoFMQ\nfq+qzkwyCby3qm5ojtkMHFpVj3bNsxZYCzAyMnLYxMTEnK9nR5menp6X84yOjg4cY5Z2ZmlnlnZm\naWeWdmZpZ5Z2ZmlnlnZmUZvly5ff0fOxvVZDFYJPmSg5nScLuPuA8ap6MMn+wGRVHdwzfhxYV1XH\nJPk0sAQ4BHg3Ty0E31NVNzbHbAZeVlWPtWUYGxurqamptq6dasWKFfNyno0bNw4cY5Z2ZmlnlnZm\naWeWdmZpZ5Z2ZmlnlnZmUZsksyoE5/xoaJLnJnn+1m3gl4C7m+4NwPHN9vHAFQOmOxU4qap+1NJ3\nXHOO1wCP9SsCJUmSJEmzs9sQx44An+i844XdgP9RVdc2fR8ALm2WhthM5zOAfVXVzTN0P5LkZuAF\nwNuGyCtJkiRJYohCsKq+Cry8T993gCMHHD8JTLa0n961PT7XfJIkSZKkdjtq+QhJkiRJ0gJlIShJ\nkiRJi4yFoCRJkiQtMhaCkiRJkrTIWAhKkiRJ0iIzdCGY5JlJvpjkyq62A5PcluT+JJckeXbLcWuS\nVJIju9p+pWn7tWZ/U5J9h80oSZIkSXrS9rgj+E7g3p62DwJ/VlUHAY8AJ/Q59i5gddf+KuBL2yGT\nJEmSJKmPoQrBJAcAbwT+sqstwOuAy5qmi4Bj+0zxGeDwJM9K8jxgFLizZ8wfJ7m9+TU6TF5JkiRJ\nEqSq5n5wchnwfuD5wLqqOqZ5lPPWqhptxiwBrqmqZT3HrgHGgCeAG4CfplMIHghcWVWXJdkE/EVV\nnZHkrcBvVNUxPfOsBdYCjIyMHDYxMTHn69lRpqen5+U8o6OD62SztDNLO7O0M0s7s7QzSzuztDNL\nO7O0M4vaLF++/I6qGhs0bs6FYJJjgDdU1e8kGefJQvBngFt6CsGrq+plPcevoVMIXgz8Pp1C8I+A\nd/HUQvB1VfXVJM8C/qGq9umXaWxsrKampuZ0PTvSihUr5uU8GzduHDjGLO3M0s4s7czSziztzNLO\nLO3M0s4s7cyiNklmVQjuNsQ5fh54U5I3AHsAL0jyV8BvAnsm2a2qfggcADzQb5Kquj3JMuAHVfV3\nnSdLnzqkz7YkSZIkaQ7m/BnBqjqlqg6oqqV0XvJyQ1W9pTq3GG8Efq0ZejxwxYDpTqFzJ7DNcV1f\nb5lrXkmSJElSxzB3BGdyEjCR5D8DXwTOn2lwVV0zQ/fuSW6jU7SunmGcJEmSJGkWtkshWFWTwGTX\n/leBwwcccyFwYUv7mq7tpc3me4bNKEmSJEnq2B7rCEqSJEmSdiEWgpIkSZK0yFgISpIkSdIiYyEo\nSZIkSYvMnAvBJHskuT3Jl5Lck+Q9XX0HJrktyf1JLkny7Jbj1ySpJEd2tf1K0/Zrzf6mJPvONaMk\nSZIk6emGuSP4OPC6qno58Arg6CSvbvo+CPxZVR0EPAKc0GeOu3jqkhCrgC8NkUmSJEmSNMAwC8pX\nVX2v2X1W86uSBHgdcFnTdxFwbJ9pPgMcnuRZSZ4HjAJ39oz54+bO4+1JRueaV5IkSZLUkaqa+8HJ\nM4E76BRw51bVSc2jnLdW1WgzZglwTVUt6zl2DTAGPAHcAPx0M8+BwJVVdVmSTcBfVNUZSd4K/EZV\nHdMzz1pgLcDIyMhhExMTc76eHWV6enpezjM6OrhONks7s7QzSzuztDNLO7O0M0s7s7QzSzuzqM3y\n5cvvqKqxQeOGKgT/eZJkT+ATwO8B3wRu6SkEr66ql/Ucs4ZOIXgx8Pt0CsE/At7FUwvB11XVV5M8\nC/iHqtqnX46xsbGampoa+nq2txUrVszLeTZu3DhwjFnamaWdWdqZpZ1Z2pmlnVnamaWdWdqZRW2S\nzKoQ3C5vDa2qR4FJ4Gjg28CeSXZrug8AHpjh2NuBZcC+VfV3bUP6bEuSJEmS5mCYt4b+THMnkCTP\nAX4R+Nvq3GK8Efi1ZujxwBUDpjuFzp3ANsd1fb1lrnklSZIkSR27DR7S1/7ARc3nBJ8BXFpVVzZ9\nJwETSf4z8EXg/JkmqqprZujePcltzTlWzzBOkiRJkjQLcy4Eq+rLwCv79H0VOHzA8RcCF7a0r+na\nXtpsvqd3nCRJkiRpbrbLZwQlSZIkSbsOC0FJkiRJWmQsBCVJkiRpkbEQlCRJkqRFZpjlI5YkuTHJ\nvUnuSfLOrr69k1yX5P7m614tx48nqSQndLW9smlb1+xPJhm4GKIkSZIkafaGuSP4Q+CPquolwKuB\nE5Mc0vSdDFxfVQcB1zf7be7iyXUCAVYBXxoikyRJkiRpgDkXglX1YFV9odn+LnAv8KKmeyVwUbN9\nEXBsn2k2A3skGUkS4Gigd03BtyS5OcndSWZckkKSJEmSNNgwC8r/syRL6awpeFvTNFJVD0KnYEyy\n3wyHXwb8Op2F578APN7T/9yqOiLJLwAXAMu2R2ZJkiRJWqxSVcNNkDwP+F/AGVX18abt0aras2vM\nI1W1V89x48A64O3AJXQeE90AHAF8r6rOTDIJvLeqbmiO2QwcWlWPds2zFlgLMDIyctjExMRQ17Mj\nTE9Pz8t5RkdHB44xSzuztDNLO7O0M0s7s7QzSzuztDNLO7OozfLly++oqoHvWRmqEEzyLOBK4JNV\n9V+62u8Dxpu7gfsDk1V1cM+x48C6qjomyaeBJcAhwLt5aiH4nqq6sTlmM/CyqnqsLc/Y2FhNTU3N\n+Xp2lBUrVszLeTZu3DhwjFnamaWdWdqZpZ1Z2pmlnVnamaWdWdqZRW2SzKoQHOatoQHOB+7tLgIb\nG4Djm+3jgSsGTHcqcFJV/ail77jmfK8BHutXBEqSJEmSZmeYzwj+PPCbwF1J7mza3lVVVwMfAC5t\nlobYTOczgH1V1c0zdD+S5GbgBcDbhsgrSZIkSWKIQrCqPgukT993gCMHHD8JTLa0n961PT7XfJIk\nSZKkdsOsIyhJkiRJ2gVZCEqSJEnSImMhKEmSJEmLjIWgJEmSJC0yQxWCSS5I8lCSu3va905yXZL7\nm697tRw7nqSaN4tubXtl07au2Z9MMnANDEmSJEnS7A17R/BC4OiW9pOB66vqIOD6Zr/NXTTrBDZW\nAV8aMpMkSZIkaQZDFYJVdRPwcEvXSuCiZvsi4Ng+U2wG9kgy0ixQfzRwTc+YtyS5OcndSQ4fJq8k\nSZIkabgF5WcyUlUPAlTVg0n2m2HsZXQWnP8i8AXg8Z7+51bVEUl+AbgAWLYjAkuSJEnSYpGqGm6C\nZClwZVUt62p7tKr27Np/pKr26jluHFgHvB24hM5johuAI4DvVdWZSSaB91bVDc0xm4FDq+rRrnnW\nAmsBRkZGDpuYmBjqenaE6enpeTnP6OjowDFmaWeWdmZpZ5Z2ZmlnlnZmaWeWdmZpZxa1Wb58+R1V\nNfA9KzuqELwPGG/uBu4PTFbVwT3HjQPrquqYJJ8GlgCHAO/mqYXge6rqxuaYzcDLquqxtixjY2M1\nNTU11PXsCCtWrJiX82zcuHHgGLO0M0s7s7QzSzuztDNLO7O0M0s7s7Qzi9okmVUhuKOWj9gAHN9s\nHw9cMWD8qcBJVfWjlr7jAJK8BnisXxEoSZIkSZqdoT4jmGQ9MA7sm2QLcFpVnQ98ALi0WRpiM53P\nAPZVVTfP0P1IkpuBFwBvGyavJEmSJGnIQrCqVvdp/w5w5IBjJ4HJlvbTu7bHh8knSZIkSXq6HfVo\nqCRJkiRpgbIQlCRJkqRFxkJQkiRJkhYZC0FJkiRJWmR2SCGY5Ogk9yWZTnJynzEXJvl+kud3tZ2d\npJLsm2Rpkrt3RD5JkiRJWsy2eyGY5JnAucDr6SwQvzrJIX2GTwMrm+OeASwHvrG9M0mSJEmSnrQj\n7ggeDkxX1Ver6glggqbYa7GeZsF4OusRfg74YVf/bkkuSvLlJJcl+akdkFeSJEmSFpUdUQi+CPh6\n1/6Wpq3N/cDPJNkLWE2naOx2MHBeVR0K/CPwO9s5qyRJkiQtOkMtKN9HWtpqhvEfB1YB/xb47Z6+\nr1fV55rtvwJ+HzjzKSdL1gJrm93vJblvmxMvTPsC396WA5K2b/12YZZ2ZmlnlnZmaWeWdmZpZ5Z2\nZmlnlnZmabfNWRawfzGbQTuiENwCLOnaPwB4YIbxE8AXgIuq6sc9v7m9BeTTCsqqOg84b25RF64k\nU1U1trNzgFn6MUs7s7QzSzuztDNLO7O0M0s7s7QzS7uFlGW+7IhHQz8PHJTkwCTPpnO3b0O/wVW1\nGfiPwEdaun82yc8126uBz27vsJIkSZK02Gz3QrCqfgj8LvBJ4F7g0qq6Z8Axf15V/7ul617g+CRf\nBvYGPrq980qSJEnSYrMjHg2lqq4Grh4wZk2f9qXN5rfpLD+xWC2kx13N0s4s7czSziztzNLOLO3M\n0s4s7czSziztFlKWeZGqmd7jIkmSJEn6SbMjPiMoSZIkSVrALAQlSQtSduA7wiVJWuwsBHcB/jC0\na/H366mSPHNnZ9gqyXOS+PferuOf/yz55+pJC+l7keRZXds7NVeSvRdCDg22EH6PkuzTvN2enf3/\nhZ39/UiyX5J/tUCy7JNk952ZoZ8kz0ryr3d2ju3JH4h2DT8NC+MH6iSHbv3LYmdL8uokL9vZf2k1\nWd6Y5OidnQMgyfFJ3ryzcwAk+S3g9K0/oO3kLKuAS4GfXQBZfrn59TMLIMsrkozu7Bzdmr9nJoFz\nk/wuQFXVQvizvhBU14f7d9b3pPm795PA2Une3ZtrnrPsnuQq4KqdmaNbkn+zUH6YTfLmJPvv7BwA\nSf5jkpftzD/PzX+7nwHOAS4EqKof74wsbXbS9+Uk4I9h5/75af5h6U+BX9xZGfpJciRwA3D4zs6y\nPVkILmBJnp3kUuBTSZ5VVT/aWf9q1WT5GHAu8D+TvD3JC3ZSlt2TnA+cBfxX4He7/1V6J+T5F8DF\nwMlJDmz+Bzfvv0/N79FHgN8G/m6+z9+TJUk+BJwIfLKqHt7avhOy7N58X/4QeB3woqZ9Z/we7ZZk\nPXAand+nP0iy53zn6MpyKXA2cE6SNUle3PTttIIryb7AXwJ/DawHfj7JBbBzfkBJ8qok/2ln/X3X\nk+XlSTYkOTfJibDTvifHAf/j/2/v7MOvqqo8/vkCoiYKoQKijzoZvuCMiknmC9rke5klgpllaCKg\nvYiMzZgaOmMj5HuNOaNZZmCPCiI+WjGgaUpqFClTk281SpmpmaP5FC+ia/5Y+/I7c7nw4wf3nLPh\nt77Pc55777nn/s7nt/c6e++19trn4IGV24FhkoZXzVGQAUuBnSV9vkaOhpMxH/gI8GbNLLtKegz4\newqz6zWx/K2kefjjxQ6D2mz3XcB04ObE0lvSwVVzFHj2kvQD4DJJE6C6oFdTH/g74Jdpf52TDj2B\nPYAXamRYRZKmAtcDF5rZd+rmaafCEcxU6QL9Z7yDexIfrNUStZL0Drzh/IuZjQDOwzu5d9TA0huY\nDSwzs4OAS4BjqLeTexUfsD4AXAxeT1U6Gqnh/gEwxMwONLOfNlJe6lDq4PsBx5vZfEl9C/srczSS\nkzUHeNvM9sejnmMTSx0R4I8CK8zsQOBC4N3AnxtfVuyAHQcsMbNDgS8Cw4AzJG1VdbS+6VwGPA7c\namYPAqcCh0s6OR1b5XV1CHAPHkQ4RlIpj1xaS5YTcadrJvAgMLzGmf+3gJFm9k28rjYFlqgjNbPU\nOirai6QeZrYcj9SfCkyStFeZ518D13HAXOBmM7uwzlmmVEafTCxjzay2gbWkM/Fg6TTgMmDbtL+S\na7mpfdkGeMjMbgT+F9gS6ClptyqZ0rl2xsvktvQ6XNL1UL6TnAJbP5H0BUn74IGUA9O53yrz3C1Y\nDpD0fkmDzWwp8CNghyoZVqcUTJkPHAq8ZWY/Svtrz9Brl8IRzFBp9u9t4FvAPwD/COwnaXT6vjID\nlNTTzP6KzwSeB2Bmc3HbOaQqjsSySerwzzSzs9Lu4fjzMMdIGlghS7EOegN7AvMAkzQGqnM0GrPF\nwE10pBGfhkcYz1OFaX+NcpGnD+9iZr+T9HHgTklXSToLqokEpwHia8A4M/ts2v0i8Bf5WsEqHZ2G\nA9EbeF96/wHgb4ALJB0OlZVLg2UrYEA672PAEmBvfPBYdbS+bxERv552TxzLgNOBqZL6Vjy4Xo4H\nmj4BfDpx1aX+wFkpGj0beB7YHKoZvBZnrs1sppk9I2lH3DF9J15HN0vqV0EdrVwuUTjXEcBiYDJw\nnaSvqPplDAPwZyjPSXynSBqWyqlSBzldv9sAT6XvJkv6lKSDmo+tQL3wwMF3gPvw/npQhddysX15\nEThE0uV0ZM4cCdwnaesUxC2tbJr+9iDgETP7tpn9F3AHcKqk49OxpdhLum7+DFwA/BV3RD8IvCFp\niyJnRXayPzAGuEfSGcAIPNhUd3bKCHw2/XozOwD4oTyjp3JnuUyFI5iZ0uC1kU7yupk9b2YvAlPx\nAeN2VRlgYmmc67dm9lphlmkT4PdVcBRYGuWyNO07DI8AX4U3JJMkDa2IpdFI7WBmfwIWmdmP8dSB\nSZJ+Immnsp32YrmY2XRgvqRXgdH4DOEwYFwj2lkBy0p7AZ6UdDfu8JwDLADeL1+rVwVLY5DxeuGr\nX+Cz2QOrTL8xsxXp4wPAHEl34YGVc/B2+GOSPlAxywvAY5IulTQEGAo8DGxflaOspvR3ADN7BR8Q\n3dQ4zszm4fZ8YgVMxVTdhcCTZjYHWAScJWnbqgYnTSw3AwvSIG4ZsIwOZ7m0AXWrOioMUJcAX0oz\n3JOAl3GbroQlLZdo9En344P8+/HUslPM7DdlsRSYinU0E/gN8C+SfoXPuk8EplUUxGg4yL1SwOcN\noL+ka/Gg00DgNklDym7/mgIH/2ZmzyX7eRpfy1l6OuZq2pff4pkZPwbmmtlRZnZBYroyHVNmEKzo\nlL4EnCRpv/S5P55dNFWemdF2e2nqpxea2deBo/D++XTcVk/GndRSy6IRlDSza/ClEp8F+uCZMsMl\nbV7XWlL5Uqg7gN+b2bS0eyIwVNLYdMxGsWY9HMHMlKJRgyTNxKM1SJKZzcIHkVekfbtK6lMBy3aS\nZgBnN329HPhDYtlRJS+KL5TLDOD8tO8+M9szDdIuwZ2eLcrkaMEyKe3uL2lfYAKwNfCqmS0u22kv\nsMySdCm+2HsqcJyZ/Wf6XHW5zAKmAN8AdgZeNrNFeKP6M3wmqiqWGXRcRz3N7Cm8w2/M2pY+61W4\njmbi9nI28AgwMQUPrgVW4B1gqZ1LgeUW4AS8TnbEF+ffjq/N+2A6tuzUpOb092sKnFcBL0v6WuEn\nr5HanJJ4Vhk04qlAy9L7yXi60kkVlE0rlmVm9kahTelLmu0pkaNlHTVmTczsj2b2SNpn+IzcExWz\nLE+HDMHTQ+fh7c+bko4ogyXxtHIyXsMDFsuBi81sNJ6K/hRQ2trFFg7yihTwWYT3ATKz08zsctzR\nuDrxtt2O1xQ4SEHLFXhmxOD0XSnB0k7al/8hpTMXfvIgaY1cSTyt7OXZxHi5pNm4M/QF4F5g3zI4\nmvrGi9O+5/Br97t46u4R+OzcZ1TiEhMzW5H6o1nAVDN72MyuBj4HbIbP1NZ185oFeH9zhvw+EI3s\nlM/j94N4d11OarsVjmAGKkRXiwuZnzCzs6HjIjCzicBgSU/jkavNKmCZhkfEJyaG5akRWw6sSAO1\ni/BGtWyW6YlllQ7VzBbjEfJSLso11NGk9N3LeDrQEuAg4A+SJlbI8t9mdr6ZvWVmlzVmfVL0cxkl\nXetrYDnXzB7HncGTJPVJg4D3kVI+KmJ5snAdNc77czxVqczUm1bX0ROpXN4GnsVTTkgzyjvhg6O2\nd3qrYXnWzMab2ULcKf64mU03s+fxgXypa+HUkf5+Ex3p7++VNKpw2Cj8JiRTU5DjBP7/wK2dPKt1\neNL3Pc3XrlwKHClP+Zsj6YAaWBr12RtYKGkXSTdK+rs2c3RWRz2ajj8FGInPyrVVa2kvt+CzTcea\n2RX4Gtxt2s2SeNbkZDwGTDaz29PnN/EyKcVp74Tlu/jM126NwSy+5nVRlSwF21Xqm+4CxkrqXUaw\ndC3tZR4wQdKZkibhAeZft5sl8aypjq4GTgKmmNkIM/sjvobyT20+f+N9sW/8XOGwXwCbm9mjZnYa\nXmYPFwItZbFMw8cMkwqH3YXfe+EASe9p5/nXwNW7qT1/DreRR/G2BADzNYK34QHcLO5QvN4ys9hq\n2oAtCu97pNd+eMRufovvhuHpmN8CetXFAuyGD2QXAP9eJ0t6PRJ4CPgPPPJZB8to4ODC590bx9fA\nokK5PFhnuaT9U/BbdC9M9lJXufRMr8fgnWxb7baLLO9N+76Pz5JeX2O5NL77cLqmr213uTRx9Si8\nH1B4PxK/8ch2hX274DOU1wG7l8SzSXrdFZ/xGwT8FBhVtJvC8Q/hN/iZVCcLPqC/BQ9sjK+xjvol\njnnAbjXYy+AWZdOz3RxdqKMeTcd/KnEeWjVL+m4rvP2dgs/2/Bo4sWbbHYBnIxxQg70UbfcI3EGb\nUYbtdrVc0uczgfn4jd/W99xd6ac/BHyvjDLoCgsd/fTu+L0pji6LqXDOXsAz+Gz1aDzINhBvW48E\nbgAmNP3mV8DHymarYqsdoLtueArAqen9KOBW/La04Ol0dwBj0+fGwP5LZRheV1jSvu3xFIoTai6X\nnvhAcWaN5TK+qY5Em9Qwna0AAAZiSURBVJ2udSiXHnhEcQaexlYHyxlNv+kH7F13uRR+d2BNLOMK\nddQvHXd4neVS+M11ZVxHq+EblOzza+lz4/q5Bpie3u8KbFkyR1cGjT2A4/G03rY7pV1k2RK/3fvd\ntGHAuD51lF6H12gvt6T3Q4A+GdnLFvgAci71OMhFlgHAe/BUwLbbS1dY0v7++HKOfjXYS7F92Swj\ne9kMXzpwPzC0Defu6rhuP3ym8J20P3Dc5fFuej+wzPpJ52g46p8A3sadz/PxiZdT8HWTx+Jt7V6F\n35Viu3VstQN0t63QII3B1+NMxCOpH0kNwA3p+4/i0+P7NP+2bhY8DbStDeh6sPQEemfC0tYZnTbY\nyyY5sORULpQwU7AOLMPazdAme2l7AKPwt4sDonfha2AuWc2x9+MpfncD25bFVDjf2g4aNwX65sCS\nXo/JoI6+B2ydkb1sk4u9pNd9c2ABtsqkXIaUcQ1tDPaCz0pt34bzrWvfOJjCrF2b/vds+um1sJse\n+NrZB4B9gMdwB3UCPs48P7V3PYr/28aw1Q7QnbYmo9sD+GZqIE5P+7YEXiFNheOpHNODJViCJVg2\nJJYCRzbp76spp7UdNN5DCYPGdWT5PtB/Y6yjnFjWs45yc5DbHlDJgWUjspd72mEvZNQH5MTSCecg\n4E7gX/G74b+E3+l8KD5zeXU6bgj+XORK+Sopg7oBuuOWDH4uPhU9DV+IOjB9Nwpfv7Q5PkU/KFiC\nJViCZUNjIaP09/S3sxk05sKSUx3lxJJTHQVL2Ms6sGTRB+TGUiz/9H4VRx2/h8ArpNRPYIeymere\nagfobhu+xmQ2KT0Czz2+CTi60RgAs/BnIAVLsARLsGxQLGSYnkpGg8YcWHKqo5xYcqqjYAl7WUeW\n2vuATFk6ddQLdfN1YEHZTLlspd4iPNRSe+G3bn9dUi8zu0fSnsDh+HOyHjWzkcESLMESLBsai/xh\nxY2HIC8ADsEfp3Krmd0l6YfAs5JmmdlsSfsD5wKfhFIenaH0N5cCI+QPuf4QfuvviZJ2NLNx8ocH\nnybpZ+aPPQH4cjt5cmHJqY5yYkk8WdRRsKyWI+ylc0V/1CRJ4/HHaH07PUJklKRfmtmXJX0RuFLS\nWDO7EcDMPiNpoaRdgWdKqqdsFM8RrF4L8PZjJ0vPesPvHrUzJTwXMFiCJViCpSoW63he2BTgq/gD\nvpcC20kaaGZv4Ivvb5G0OX47+3PLYEmDxkYHvgC/o+/KQSNwHDBS0tFmNhu/HfhKlhIcnixYcqqj\nnFhyqqNgaa2wl7VS9EdJ0sqHvS8FDpY/23k8Pgt4mKQbzOw5PGX1w5L2Kfx8uJk9vbE7gUCkhla9\n4c8mmYLnhQ8AJlPS83SCJViCJViqZiGjdKB0rmzWqOTCklMd5cSSUx0FS9jLOvLU3gfkwMIGcrOa\nHLZGPmyoQkkaDPwT/qy3PsCnzeyVYAmWYAmWDZ1F0kX4QvtzUjrQCkkNnplm9miFLMfja4nGmKcn\nHQucANwG3JvYZgF3mtm0bsSSUx3lxJJTHQVLa5awl865oj/qOP8U/BmaN+PBgqeAb5jZSylN9Hpg\nB3yGclMze7EqtlwUawRrkJm9AJwtaUvzVIZgCZZgCZaNhWUBcFRKB1qc9j0OnEH1qUlZrFHJkCWn\nOsqJJac6CpbWCnvpRBn0AVmwJEd9D2B0qqPXcUd9mKR7zWympJOBUVU66rkp1gjWqLov0KKCpbWC\npbWCpbWCBYCfA0uAiyQNkDQZGAdcaWYPVMwS62VaK6c6yoklpzoKltYKe1lLRX+0qqMOPIk76vsl\nrpHd2QkEIjU0FAqFQu1V3elABY6B+O3lBwLn4TeS2Bu4wswe6a4siSeLOsqJJac6CpY18oS9hDqV\npGOAo/CHwi9O+47CZ4+vrSFwkKXCEQyFQqFQKcohNSmXQWNuLAWm2uuooRxYcqqjYOmUKewltFqF\no752CkcwFAqFQhu9chg0NpQTS6i1cqqjYMlfUS55Khz1zhWOYCgUCoVCoVAoFNooFY766hWOYCgU\nCoVCoVAoFAp1M8VdQ0OhUCgUCoVCoVComykcwVAoFAqFQqFQKBTqZgpHMBQKhUKhUCgUCoW6mcIR\nDIVCoVAoFAqFQqFupnAEQ6FQKBQKhUKhUKibKRzBUCgUCoVCoVAoFOpmCkcwFAqFQqFQKBQKhbqZ\n/g+dQA56hicryQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "genome_lens = [len(genome_seq[c]) for c in genome_seq]\n",
    "plt.figure(figsize=(15, 5))\n",
    "plt.bar(range(len(genome_seq)), [len(genome_seq[c]) for c in genome_seq], \n",
    "        color='k', alpha=0.7, width=0.75)\n",
    "_ = plt.xticks([v for v in range(len(genome_seq))], genome_seq.keys(), rotation=35)\n",
    "_ = plt.yticks([v for v in range(0, max(genome_lens) + 10000000, 10000000)],\n",
    "               ['%d Mb' % (v / 1000000) for v in range(0, max(genome_lens) + 10000000, 10000000)])\n",
    "plt.axes().yaxis.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Then, we search for restriction enzyme sites in this sequence."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example with different restriction enzymes and double digestion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pytadbit.mapping.restriction_enzymes import map_re_sites"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MboI\n",
      " - Found 6669655 RE sites\n",
      "HindIII\n",
      " - Found 849922 RE sites\n",
      "NcoI\n",
      " - Found 862336 RE sites\n",
      "HindIII & MboI\n",
      " - Found 7519577 RE sites\n"
     ]
    }
   ],
   "source": [
    "print 'MboI\\n -',\n",
    "frags_MboI    = map_re_sites('MboI'              , genome_seq, verbose=True)\n",
    "\n",
    "print 'HindIII\\n -',\n",
    "frags_HindIII = map_re_sites('HindIII'           , genome_seq, verbose=True)\n",
    "\n",
    "print 'NcoI\\n -',\n",
    "frags_NcoI    = map_re_sites('NcoI'              , genome_seq, verbose=True)\n",
    "\n",
    "print 'HindIII & MboI\\n -',\n",
    "frags_double  = map_re_sites(['HindIII', 'MboI'] , genome_seq, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "_Note: TADbit is compatible with __any number of restriction enzymes__, if using more than two is a good idea..._"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "max_size = 30000\n",
    "c0 = 'chr1'\n",
    "v0 = 0\n",
    "dists_MboI = []\n",
    "for c1, v1 in [(c, v) for c in frags_MboI for p in frags_MboI[c] \n",
    "               for v in frags_MboI[c][p]]:\n",
    "    if c1 == c0:\n",
    "        diff = abs(v1 - v0)\n",
    "        if diff < max_size:  # larger fragments are probably poorly assembled regions\n",
    "            dists_MboI.append(diff)\n",
    "    v0 = v1\n",
    "\n",
    "v0 = 0\n",
    "dists_HindIII = []\n",
    "for c1, v1 in [(c, v) for c in frags_HindIII for p in frags_HindIII[c] \n",
    "               for v in frags_HindIII[c][p]]:\n",
    "    if c1 == c0:\n",
    "        diff = abs(v1 - v0)\n",
    "        if diff < max_size:  # larger fragments are probably poorly assembled regions\n",
    "            dists_HindIII.append(diff)\n",
    "    v0 = v1\n",
    "\n",
    "v0 = 0\n",
    "dists_NcoI = []\n",
    "for c1, v1 in [(c, v) for c in frags_NcoI for p in frags_NcoI[c] \n",
    "               for v in frags_NcoI[c][p]]:\n",
    "    if c1 == c0:\n",
    "        diff = abs(v1 - v0)\n",
    "        if diff < max_size:  # larger fragments are probably poorly assembled regions\n",
    "            dists_NcoI.append(diff)\n",
    "    v0 = v1\n",
    "\n",
    "v0 = 0\n",
    "dists_double = []\n",
    "for c1, v1 in [(c, v) for c in frags_double for p in frags_double[c] \n",
    "               for v in frags_double[c][p]]:\n",
    "    if c1 == c0:\n",
    "        diff = abs(v1 - v0)\n",
    "        if diff < max_size:  # larger fragments are probably poorly assembled regions\n",
    "            dists_double.append(diff)\n",
    "    v0 = v1\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Distribution of the restriction fragment sizes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A+Ph4l5GRcfizCP01zcGDD19XjgvZ2dlUeF/ICUf3hYSj++L4sn79+hLv/67qD2ofOHAg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\nRK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "plt.figure(figsize=(12, 6))\n",
    "_ = plt.hist([dists_HindIII, dists_NcoI, dists_MboI, dists_double], bins=50, \n",
    "             color=['green', 'blue', 'orange', 'red'], \n",
    "             alpha=0.5, label=['HindIII', 'NcoI', 'MboI', 'MboI & HindIII'], range=(0, 5000), normed=True)\n",
    "y0, y1 = plt.ylim()\n",
    "plt.vlines(np.median(dists_HindIII), y0, y1 * 0.25, color='green', linestyle='--',\n",
    "          label='median HindIII')\n",
    "plt.vlines(np.median(dists_NcoI)   , y0, y1 * 0.25, color='blue', linestyle='--',\n",
    "          label='median NcoI')\n",
    "plt.vlines(np.median(dists_MboI), y0, y1 * 0.75, color='orange', linestyle='--',\n",
    "          label='median MboI')\n",
    "plt.vlines(np.median(dists_double)   , y0, y1 * 0.85, color='red', linestyle='--',\n",
    "          label='median HindIII & MboI')\n",
    "plt.text(np.median(dists_MboI), y1 * 0.75, '%.0f' % np.median(dists_MboI), va='bottom', \n",
    "         ha='left')\n",
    "plt.text(np.median(dists_HindIII), y1 * 0.25, '%.0f' % np.median(dists_HindIII), va='bottom', \n",
    "         ha='right')\n",
    "plt.text(np.median(dists_NcoI)   , y1 * 0.25,'%.0f' % np.median(dists_NcoI)   , va='bottom', \n",
    "         ha='left')\n",
    "plt.text(np.median(dists_double)   , y1 * 0.85,'%.0f' % np.median(dists_double)   , va='bottom', \n",
    "         ha='left')\n",
    "plt.title('Restriction fragment size distribution')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.xlim(0, 5000)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is a big improvement when passing from a six base-pair cutter (such as HindIII or NcoI) to a four base-pair cutter (such as MboI). However, it is clear that combining two REs, here HindIII + MboI, may not allow much shorter fragments."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Number of cut-sites per bin in chromosome 19"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lZmZmZmZWE1ewzMzMzMzMauIKlpmZmZmZWU1cwTIzMzMzM6uJK1hmZmZmZmY1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\nAADUhAALAAAAAGry/wFJHM+3V9H4XgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x504 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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lZmZmZmZWE1ewzMzMzMzMauIKlpmZmZmZWU1cwTIzMzMzM6uJK1hmZmZmZmY1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\n6ldJuncM/iZHAKgFLVgAAGBi2f793DVvF6WW9XMIrgCMUyMBlu0X2P4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cjfhjthfmca3L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\nAADUhAALAAAAAGry/wFJHM+3V9H4XgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x504 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = 'chr19'\n",
    "reso = 10000\n",
    "ax = None\n",
    "plt.figure(figsize=(12, 7))\n",
    "for pos, name, col, num in zip([frags_HindIII, frags_NcoI, frags_MboI, frags_double],\n",
    "                               ['HindIII', 'NcoI', 'MboI', 'MboI & HindIII'],\n",
    "                               ['green', 'blue', 'orange', 'red'],\n",
    "                               range(4)):\n",
    "    ax = plt.subplot(4, 1, num + 1, sharex=ax)\n",
    "    pos = list(set(reduce(lambda x, y: x + y, [pos[c][k] for k in pos[c]])))\n",
    "    mpos = max(pos)\n",
    "    _ = plt.hist(pos, bins=mpos / reso, color=col, range=(0, mpos))\n",
    "    plt.title('Number of RE site for %s per %s kb bin along Mouse %s' % (name, reso / 1000, c))\n",
    "    plt.xlim((0, mpos))\n",
    "    plt.xticks(range(0, mpos + reso, 10000000), \n",
    "               ['%d Mb' % (p / 1000000) for p in xrange(0, mpos + reso, 10000000)])\n",
    "    plt.yscale('log')\n",
    "    plt.ylim(0, 100)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When using a six base-pair cutter, a resolution of 10 kb may be out of reach as many bins will have not cut-sites at all. Using a four base-pair cutter, the number of cut-sites per 10kb-bin would be between 15 and 30 allowing for __more robust measurements__."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dHG6a983f5IuYdwHjIuLUiHghIu4Hfky6QOglJ/OPAsdFxF/z53xT3i8rTomI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\nQmCC\n",
      "text/plain": [
       "<Figure size 504x504 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dHG6a983f5IuYdwHjIuLUiHghIu4Hfky6QOglJ/OPAsdFxF/z53xT3i8rTomI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\nwOkR8VbScTQJQNLKpJaIb5CO3cOAX0kaXb2AXM5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      "text/plain": [
       "<Figure size 504x504 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = 'chr19'\n",
    "reso = 10000\n",
    "ax = None\n",
    "plt.figure(figsize=(7, 7))\n",
    "for pos, name, col, num in zip([frags_HindIII, frags_NcoI, frags_MboI, frags_double],\n",
    "                               ['HindIII', 'NcoI', 'MboI', 'MboI & HindIII'],\n",
    "                               ['green', 'blue', 'orange', 'red'],\n",
    "                               range(4)):\n",
    "    ax = plt.subplot(4, 1, num + 1, sharex=ax)\n",
    "    pos = list(set(reduce(lambda x, y: x + y, [pos[c][k] for k in pos[c]])))\n",
    "    mpos = max(pos)\n",
    "    counts, bins = np.histogram(pos, bins=mpos / reso, range=(0, mpos))\n",
    "    _ = plt.hist(counts, color=col, bins=50, range=(0, 50), width=0.5)\n",
    "    plt.title('Number of RE site for %s per bins at %s kb in Mouse %s' % (name, reso / 1000, c))\n",
    "    plt.xlim((0, 50))\n",
    "    plt.grid()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# References\n",
    "\n",
    "<a name=\"cite-lieberman2009\"/><sup>[^](#ref-1) </sup> Lieberman-Aiden E1, van Berkum NL, Williams L, Imakaev M, Ragoczy T, Telling A, Amit I, Lajoie BR, Sabo PJ, Dorschner MO, Sandstrom R, Bernstein B, Bender MA, Groudine M, Gnirke A, Stamatoyannopoulos J, Mirny LA, Lander ES, Dekker J. _Comprehensive mapping of long-range interactions reveals folding principles of the human genome._ Science. 2009 Oct 9;326(5950):289-93\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--bibtex\n",
    "@article{le2014distinct,\n",
    "  title={Distinct structural transitions of chromatin topological domains correlate with coordinated hormone-induced gene regulation},\n",
    "  author={Le Dily, Fran{\\c{c}}ois and Ba{\\`u}, Davide and Pohl, Andy and Vicent, Guillermo P and Serra, Fran{\\c{c}}ois and Soronellas, Daniel and Castellano, Giancarlo and Wright, Roni HG and Ballare, Cecilia and Filion, Guillaume and others},\n",
    "  journal={Genes \\& development},\n",
    "  volume={28},\n",
    "  number={19},\n",
    "  pages={2151--2162},\n",
    "  year={2014},\n",
    "  publisher={Cold Spring Harbor Lab}\n",
    "}\n",
    "@article{roguski2014dsrc,\n",
    "  title={DSRC 2—Industry-oriented compression of FASTQ files},\n",
    "  author={Roguski, {\\L}ukasz and Deorowicz, Sebastian},\n",
    "  journal={Bioinformatics},\n",
    "  volume={30},\n",
    "  number={15},\n",
    "  pages={2213--2215},\n",
    "  year={2014},\n",
    "  publisher={Oxford Univ Press}\n",
    "}\n",
    "-->"
   ]
  }
 ],
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